0 : 0:{}:{}

   1 : 0:{1}:{(1,1)}
       1:{2}:{(0,1),(2,1),(3,1)}
       2:{1}:{(1,1)}
       3:{3}:{(1,1),(4,1)}
       4:{4}:{(3,1),(5,1)}
       5:{5}:{(4,1),(6,1)}
       6:{6}:{(5,1),(7,1)}
       7:{7}:{(6,1)}

   2 :  0:{2}:{(1,1),(2,1)}
        1:{1}:{(0,1),(3,1)}
        2:{3}:{(0,1),(4,1)}
        3:{2}:{(1,1),(5,1)}
        4:{4}:{(2,1),(6,1)}
        5:{3}:{(3,1),(7,1)}
        6:{5}:{(4,1),(8,1)}
        7:{4}:{(5,1),(9,1)}
        8:{6}:{(6,1),(10,1)}
        9:{5}:{(7,1),(11,1)}
       10:{7}:{(8,1)}
       11:{6}:{(9,1),(12,1)}
       12:{7}:{(11,1)}

   3 :  0:{3}:{(1,1),(2,1)}
        1:{2}:{(0,1),(3,1)}
        2:{4}:{(0,1),(4,1)}
        3:{1}:{(1,1),(5,1)}
        4:{5}:{(2,1),(6,1)}
        5:{2}:{(3,1),(7,1)}
        6:{6}:{(4,1),(8,1)}
        7:{3}:{(5,1),(9,1)}
        8:{7}:{(6,1)}
        9:{4}:{(7,1),(10,1)}
       10:{5}:{(9,1),(11,1)}
       11:{6}:{(10,1),(12,1)}
       12:{7}:{(11,1)}

   4 :  0:{4}:{(1,1),(2,1)}
        1:{3}:{(0,1),(3,1)}
        2:{5}:{(0,1),(4,1)}
        3:{2}:{(1,1),(5,1)}
        4:{6}:{(2,1),(6,1)}
        5:{1}:{(3,1),(7,1)}
        6:{7}:{(4,1)}
        7:{2}:{(5,1),(8,1)}
        8:{3}:{(7,1),(9,1)}
        9:{4}:{(8,1),(10,1)}
       10:{5}:{(9,1),(11,1)}
       11:{6}:{(10,1),(12,1)}
       12:{7}:{(11,1)}

   5 :  0:{5}:{(1,1),(2,1)}
        1:{4}:{(0,1),(3,1)}
        2:{6}:{(0,1),(4,1)}
        3:{3}:{(1,1),(5,1)}
        4:{7}:{(2,1)}
        5:{2}:{(3,1),(6,1)}
        6:{1}:{(5,1),(7,1)}
        7:{2}:{(6,1),(8,1)}
        8:{3}:{(7,1),(9,1)}
        9:{4}:{(8,1),(10,1)}
       10:{5}:{(9,1),(11,1)}
       11:{6}:{(10,1),(12,1)}
       12:{7}:{(11,1)}

   6 :  0:{6}:{(1,1),(2,1)}
        1:{5}:{(0,1),(3,1)}
        2:{7}:{(0,1)}
        3:{4}:{(1,1),(4,1)}
        4:{3}:{(3,1),(5,1)}
        5:{2}:{(4,1),(6,1)}
        6:{1}:{(5,1),(7,1)}
        7:{2}:{(6,1),(8,1)}
        8:{3}:{(7,1),(9,1)}
        9:{4}:{(8,1),(10,1)}
       10:{5}:{(9,1),(11,1)}
       11:{6}:{(10,1),(12,1)}
       12:{7}:{(11,1)}

   7 :  0:{7}:{(1,1)}
        1:{6}:{(0,1),(2,1)}
        2:{5}:{(1,1),(3,1)}
        3:{4}:{(2,1),(4,1)}
        4:{3}:{(3,1),(5,1)}
        5:{2}:{(4,1),(6,1)}
        6:{1}:{(5,1),(7,1)}
        7:{2}:{(6,1),(8,1)}
        8:{3}:{(7,1),(9,1)}
        9:{4}:{(8,1),(10,1)}
       10:{5}:{(9,1),(11,1)}
       11:{6}:{(10,1),(12,1)}
       12:{7}:{(11,1)}

   8 :  0:{1,3}:{(1,1),(2,1),(7,1)}
        1:{2}:{(0,1),(3,1)}
        2:{1,4}:{(0,1),(4,1),(5,1),(20,1)}
        3:{1}:{(1,1)}
        4:{2,4}:{(1,1),(2,1),(6,1),(7,1),(8,1),(15,1),(17,1)}
        5:{1,5}:{(2,1),(8,1),(9,1)}
        6:{1,4}:{(3,1),(4,1),(10,1),(11,1)}
        7:{3}:{(4,1)}
        8:{2,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,6}:{(5,1),(13,1),(14,1)}
       10:{1,3}:{(6,1),(7,1),(15,1)}
       11:{1,5}:{(6,1),(8,1),(16,1)}
       12:{3,5}:{(7,1),(8,1),(17,1),(18,1),(24,1)}
       13:{2,6}:{(8,1),(9,1),(16,1),(18,1),(19,1)}
       14:{1,7}:{(9,1),(19,1)}
       15:{2}:{(10,1),(20,1)}
       16:{1,6}:{(11,1),(13,1),(21,1)}
       17:{4}:{(12,1)}
       18:{3,6}:{(12,1),(13,1),(22,1),(23,1)}
       19:{2,7}:{(13,1),(14,1),(21,1),(23,1)}
       20:{1}:{(15,1)}
       21:{1,7}:{(16,1),(19,1)}
       22:{4,6}:{(17,1),(18,1),(24,1),(25,1),(27,1)}
       23:{3,7}:{(18,1),(19,1),(25,1)}
       24:{5}:{(22,1)}
       25:{4,7}:{(22,1),(23,1),(26,1)}
       26:{5,7}:{(24,1),(25,1),(27,1)}
       27:{6}:{(26,1)}

   9 :  0:{1,4}:{(1,1),(2,1),(3,1),(20,1)}
        1:{2,4}:{(0,1),(4,1),(5,1),(6,1),(7,1),(15,1),(17,1)}
        2:{1,3}:{(0,1),(5,1),(7,1)}
        3:{1,5}:{(0,1),(6,1),(8,1)}
        4:{1,4}:{(1,1),(9,1),(10,1),(13,1)}
        5:{3}:{(1,1)}
        6:{2,5}:{(1,1),(3,1),(10,1),(11,1),(12,1)}
        7:{2}:{(2,1),(13,1)}
        8:{1,6}:{(3,1),(12,1),(14,1)}
        9:{1,3}:{(4,1),(5,1),(15,1)}
       10:{1,5}:{(4,1),(6,1),(16,1)}
       11:{3,5}:{(5,1),(6,1),(17,1),(18,1),(24,1)}
       12:{2,6}:{(6,1),(8,1),(16,1),(18,1),(19,1)}
       13:{1}:{(7,1)}
       14:{1,7}:{(8,1),(19,1)}
       15:{2}:{(9,1),(20,1)}
       16:{1,6}:{(10,1),(12,1),(21,1)}
       17:{4}:{(11,1)}
       18:{3,6}:{(11,1),(12,1),(22,1),(23,1)}
       19:{2,7}:{(12,1),(14,1),(21,1),(23,1)}
       20:{1}:{(15,1)}
       21:{1,7}:{(16,1),(19,1)}
       22:{4,6}:{(17,1),(18,1),(24,1),(25,1),(27,1)}
       23:{3,7}:{(18,1),(19,1),(25,1)}
       24:{5}:{(22,1)}
       25:{4,7}:{(22,1),(23,1),(26,1)}
       26:{5,7}:{(24,1),(25,1),(27,1)}
       27:{6}:{(26,1)}

  10 :  0:{1,5}:{(1,1),(2,1),(3,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{1,4}:{(0,1),(6,1),(8,1),(25,1)}
        3:{1,6}:{(0,1),(7,1),(9,1)}
        4:{1,5}:{(1,1),(10,1),(11,1)}
        5:{3,5}:{(1,1),(12,1),(13,1),(14,1),(23,1)}
        6:{2,4}:{(1,1),(2,1),(10,1),(12,1),(14,1),(16,1),(22,1)}
        7:{2,6}:{(1,1),(3,1),(11,1),(13,1),(15,1)}
        8:{1,3}:{(2,1),(14,1),(16,1)}
        9:{1,7}:{(3,1),(15,1)}
       10:{1,4}:{(4,1),(6,1),(17,1),(21,1)}
       11:{1,6}:{(4,1),(7,1),(18,1)}
       12:{4}:{(5,1)}
       13:{3,6}:{(5,1),(7,1),(19,1),(20,1)}
       14:{3}:{(6,1)}
       15:{2,7}:{(7,1),(9,1),(18,1),(20,1)}
       16:{2}:{(8,1),(21,1)}
       17:{1,3}:{(10,1),(14,1),(22,1)}
       18:{1,7}:{(11,1),(15,1)}
       19:{4,6}:{(12,1),(13,1),(23,1),(24,1),(27,1)}
       20:{3,7}:{(13,1),(15,1),(24,1)}
       21:{1}:{(16,1)}
       22:{2}:{(17,1),(25,1)}
       23:{5}:{(19,1)}
       24:{4,7}:{(19,1),(20,1),(26,1)}
       25:{1}:{(22,1)}
       26:{5,7}:{(23,1),(24,1),(27,1)}
       27:{6}:{(26,1)}

  11 :  0:{1,6}:{(1,1),(2,1),(3,1)}
        1:{2,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{1,5}:{(0,1),(6,1),(8,1)}
        3:{1,7}:{(0,1),(7,1)}
        4:{1,6}:{(1,1),(9,1),(10,1)}
        5:{3,6}:{(1,1),(11,1),(12,1),(13,1)}
        6:{2,5}:{(1,1),(2,1),(9,1),(12,1),(14,1)}
        7:{2,7}:{(1,1),(3,1),(10,1),(13,1)}
        8:{1,4}:{(2,1),(14,1),(15,1),(27,1)}
        9:{1,5}:{(4,1),(6,1),(16,1)}
       10:{1,7}:{(4,1),(7,1)}
       11:{4,6}:{(5,1),(17,1),(18,1),(19,1),(26,1)}
       12:{3,5}:{(5,1),(6,1),(17,1),(19,1),(20,1)}
       13:{3,7}:{(5,1),(7,1),(18,1)}
       14:{2,4}:{(6,1),(8,1),(16,1),(19,1),(20,1),(21,1),(25,1)}
       15:{1,3}:{(8,1),(20,1),(21,1)}
       16:{1,4}:{(9,1),(14,1),(22,1),(24,1)}
       17:{5}:{(11,1)}
       18:{4,7}:{(11,1),(13,1),(23,1)}
       19:{4}:{(12,1)}
       20:{3}:{(14,1)}
       21:{2}:{(15,1),(24,1)}
       22:{1,3}:{(16,1),(20,1),(25,1)}
       23:{5,7}:{(17,1),(18,1),(26,1)}
       24:{1}:{(21,1)}
       25:{2}:{(22,1),(27,1)}
       26:{6}:{(23,1)}
       27:{1}:{(25,1)}

  12 :  0:{1,7}:{(1,1),(2,1)}
        1:{2,7}:{(0,1),(3,1),(4,1),(5,1)}
        2:{1,6}:{(0,1),(5,1),(6,1)}
        3:{1,7}:{(1,1),(7,1)}
        4:{3,7}:{(1,1),(8,1),(9,1)}
        5:{2,6}:{(1,1),(2,1),(7,1),(9,1),(10,1)}
        6:{1,5}:{(2,1),(10,1),(11,1)}
        7:{1,6}:{(3,1),(5,1),(12,1)}
        8:{4,7}:{(4,1),(13,1),(14,1)}
        9:{3,6}:{(4,1),(5,1),(14,1),(15,1)}
       10:{2,5}:{(5,1),(6,1),(12,1),(15,1),(16,1)}
       11:{1,4}:{(6,1),(16,1),(17,1),(27,1)}
       12:{1,5}:{(7,1),(10,1),(18,1)}
       13:{5,7}:{(8,1),(19,1),(20,1)}
       14:{4,6}:{(8,1),(9,1),(19,1),(20,1),(21,1)}
       15:{3,5}:{(9,1),(10,1),(20,1),(21,1),(22,1)}
       16:{2,4}:{(10,1),(11,1),(18,1),(21,1),(22,1),(23,1),(26,1)}
       17:{1,3}:{(11,1),(22,1),(23,1)}
       18:{1,4}:{(12,1),(16,1),(24,1),(25,1)}
       19:{6}:{(13,1)}
       20:{5}:{(14,1)}
       21:{4}:{(15,1)}
       22:{3}:{(16,1)}
       23:{2}:{(17,1),(25,1)}
       24:{1,3}:{(18,1),(22,1),(26,1)}
       25:{1}:{(23,1)}
       26:{2}:{(24,1),(27,1)}
       27:{1}:{(26,1)}

  13 :  0:{2,4}:{(1,1),(2,1),(3,1),(11,1),(13,1)}
        1:{1,4}:{(0,1),(4,1),(5,1),(6,1),(18,1)}
        2:{3}:{(0,1)}
        3:{2,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{2,4}:{(1,1),(9,1),(10,1),(11,1),(22,1)}
        5:{1,3}:{(1,1),(2,1),(9,1),(11,1)}
        6:{1,5}:{(1,1),(3,1),(10,1),(12,1)}
        7:{3,5}:{(2,1),(3,1),(13,1),(14,1),(25,1)}
        8:{2,6}:{(3,1),(12,1),(14,1),(15,1)}
        9:{3}:{(4,1)}
       10:{2,5}:{(4,1),(6,1),(16,1),(17,1)}
       11:{2}:{(5,1),(18,1)}
       12:{1,6}:{(6,1),(8,1),(17,1),(19,1)}
       13:{4}:{(7,1)}
       14:{3,6}:{(7,1),(8,1),(20,1),(21,1)}
       15:{2,7}:{(8,1),(19,1),(21,1)}
       16:{3,5}:{(9,1),(10,1),(22,1),(23,1),(30,1)}
       17:{2,6}:{(10,1),(12,1),(23,1),(24,1)}
       18:{1}:{(11,1)}
       19:{1,7}:{(12,1),(15,1),(24,1)}
       20:{4,6}:{(13,1),(14,1),(25,1),(26,1),(32,1)}
       21:{3,7}:{(14,1),(15,1),(26,1)}
       22:{4}:{(16,1)}
       23:{3,6}:{(16,1),(17,1),(27,1),(28,1)}
       24:{2,7}:{(17,1),(19,1),(28,1)}
       25:{5}:{(20,1)}
       26:{4,7}:{(20,1),(21,1),(29,1)}
       27:{4,6}:{(22,1),(23,1),(30,1),(31,1),(34,1)}
       28:{3,7}:{(23,1),(24,1),(31,1)}
       29:{5,7}:{(25,1),(26,1),(32,1)}
       30:{5}:{(27,1)}
       31:{4,7}:{(27,1),(28,1),(33,1)}
       32:{6}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

  14 :  0:{2,5}:{(1,1),(2,1),(3,1),(4,1)}
        1:{1,5}:{(0,1),(5,1),(6,1),(7,1)}
        2:{3,5}:{(0,1),(8,1),(9,1),(10,1),(24,1)}
        3:{2,4}:{(0,1),(6,1),(8,1),(10,1),(23,1)}
        4:{2,6}:{(0,1),(7,1),(9,1),(11,1)}
        5:{2,5}:{(1,1),(12,1),(13,1),(14,1)}
        6:{1,4}:{(1,1),(3,1),(13,1),(15,1),(28,1)}
        7:{1,6}:{(1,1),(4,1),(14,1),(16,1)}
        8:{4}:{(2,1)}
        9:{3,6}:{(2,1),(4,1),(17,1),(18,1)}
       10:{3}:{(3,1)}
       11:{2,7}:{(4,1),(16,1),(18,1)}
       12:{3,5}:{(5,1),(19,1),(20,1),(21,1),(30,1)}
       13:{2,4}:{(5,1),(6,1),(19,1),(21,1),(23,1)}
       14:{2,6}:{(5,1),(7,1),(20,1),(22,1)}
       15:{1,3}:{(6,1),(10,1),(21,1),(23,1)}
       16:{1,7}:{(7,1),(11,1),(22,1)}
       17:{4,6}:{(8,1),(9,1),(24,1),(25,1),(32,1)}
       18:{3,7}:{(9,1),(11,1),(25,1)}
       19:{4}:{(12,1)}
       20:{3,6}:{(12,1),(14,1),(26,1),(27,1)}
       21:{3}:{(13,1)}
       22:{2,7}:{(14,1),(16,1),(27,1)}
       23:{2}:{(15,1),(28,1)}
       24:{5}:{(17,1)}
       25:{4,7}:{(17,1),(18,1),(29,1)}
       26:{4,6}:{(19,1),(20,1),(30,1),(31,1),(34,1)}
       27:{3,7}:{(20,1),(22,1),(31,1)}
       28:{1}:{(23,1)}
       29:{5,7}:{(24,1),(25,1),(32,1)}
       30:{5}:{(26,1)}
       31:{4,7}:{(26,1),(27,1),(33,1)}
       32:{6}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

  15 :  0:{2,6}:{(1,1),(2,1),(3,1),(4,1)}
        1:{1,6}:{(0,1),(5,1),(6,1),(7,1)}
        2:{3,6}:{(0,1),(8,1),(9,1),(10,1)}
        3:{2,5}:{(0,1),(6,1),(9,1),(11,1)}
        4:{2,7}:{(0,1),(7,1),(10,1)}
        5:{2,6}:{(1,1),(12,1),(13,1),(14,1)}
        6:{1,5}:{(1,1),(3,1),(13,1),(15,1)}
        7:{1,7}:{(1,1),(4,1),(14,1)}
        8:{4,6}:{(2,1),(16,1),(17,1),(18,1),(31,1)}
        9:{3,5}:{(2,1),(3,1),(16,1),(18,1),(19,1)}
       10:{3,7}:{(2,1),(4,1),(17,1)}
       11:{2,4}:{(3,1),(15,1),(18,1),(19,1),(30,1)}
       12:{3,6}:{(5,1),(20,1),(21,1),(22,1)}
       13:{2,5}:{(5,1),(6,1),(21,1),(23,1)}
       14:{2,7}:{(5,1),(7,1),(22,1)}
       15:{1,4}:{(6,1),(11,1),(23,1),(24,1),(33,1)}
       16:{5}:{(8,1)}
       17:{4,7}:{(8,1),(10,1),(25,1)}
       18:{4}:{(9,1)}
       19:{3}:{(11,1)}
       20:{4,6}:{(12,1),(26,1),(27,1),(28,1),(34,1)}
       21:{3,5}:{(12,1),(13,1),(26,1),(28,1),(29,1)}
       22:{3,7}:{(12,1),(14,1),(27,1)}
       23:{2,4}:{(13,1),(15,1),(28,1),(29,1),(30,1)}
       24:{1,3}:{(15,1),(19,1),(29,1),(30,1)}
       25:{5,7}:{(16,1),(17,1),(31,1)}
       26:{5}:{(20,1)}
       27:{4,7}:{(20,1),(22,1),(32,1)}
       28:{4}:{(21,1)}
       29:{3}:{(23,1)}
       30:{2}:{(24,1),(33,1)}
       31:{6}:{(25,1)}
       32:{5,7}:{(26,1),(27,1),(34,1)}
       33:{1}:{(30,1)}
       34:{6}:{(32,1)}

  16 :  0:{2,7}:{(1,1),(2,1),(3,1)}
        1:{1,7}:{(0,1),(4,1),(5,1)}
        2:{3,7}:{(0,1),(6,1),(7,1)}
        3:{2,6}:{(0,1),(5,1),(7,1),(8,1)}
        4:{2,7}:{(1,1),(9,1),(10,1)}
        5:{1,6}:{(1,1),(3,1),(10,1),(11,1)}
        6:{4,7}:{(2,1),(12,1),(13,1)}
        7:{3,6}:{(2,1),(3,1),(13,1),(14,1)}
        8:{2,5}:{(3,1),(11,1),(14,1),(15,1)}
        9:{3,7}:{(4,1),(16,1),(17,1)}
       10:{2,6}:{(4,1),(5,1),(17,1),(18,1)}
       11:{1,5}:{(5,1),(8,1),(18,1),(19,1)}
       12:{5,7}:{(6,1),(20,1),(21,1)}
       13:{4,6}:{(6,1),(7,1),(20,1),(21,1),(22,1)}
       14:{3,5}:{(7,1),(8,1),(21,1),(22,1),(23,1)}
       15:{2,4}:{(8,1),(19,1),(22,1),(23,1),(33,1)}
       16:{4,7}:{(9,1),(24,1),(25,1)}
       17:{3,6}:{(9,1),(10,1),(25,1),(26,1)}
       18:{2,5}:{(10,1),(11,1),(26,1),(27,1)}
       19:{1,4}:{(11,1),(15,1),(27,1),(28,1),(34,1)}
       20:{6}:{(12,1)}
       21:{5}:{(13,1)}
       22:{4}:{(14,1)}
       23:{3}:{(15,1)}
       24:{5,7}:{(16,1),(29,1),(30,1)}
       25:{4,6}:{(16,1),(17,1),(29,1),(30,1),(31,1)}
       26:{3,5}:{(17,1),(18,1),(30,1),(31,1),(32,1)}
       27:{2,4}:{(18,1),(19,1),(31,1),(32,1),(33,1)}
       28:{1,3}:{(19,1),(23,1),(32,1),(33,1)}
       29:{6}:{(24,1)}
       30:{5}:{(25,1)}
       31:{4}:{(26,1)}
       32:{3}:{(27,1)}
       33:{2}:{(28,1),(34,1)}
       34:{1}:{(33,1)}

  17 :  0:{3,5}:{(1,1),(2,1),(3,1),(12,1),(14,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{4}:{(0,1)}
        3:{3,6}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,5}:{(1,1),(9,1),(10,1),(11,1)}
        5:{2,4}:{(1,1),(2,1),(10,1),(12,1),(26,1)}
        6:{2,6}:{(1,1),(3,1),(11,1),(13,1)}
        7:{4,6}:{(2,1),(3,1),(14,1),(15,1),(27,1)}
        8:{3,7}:{(3,1),(13,1),(15,1)}
        9:{2,5}:{(4,1),(16,1),(17,1),(18,1)}
       10:{1,4}:{(4,1),(5,1),(17,1),(19,1),(30,1)}
       11:{1,6}:{(4,1),(6,1),(18,1),(20,1)}
       12:{3}:{(5,1)}
       13:{2,7}:{(6,1),(8,1),(20,1)}
       14:{5}:{(7,1)}
       15:{4,7}:{(7,1),(8,1),(21,1)}
       16:{3,5}:{(9,1),(22,1),(23,1),(24,1),(31,1)}
       17:{2,4}:{(9,1),(10,1),(22,1),(24,1),(26,1)}
       18:{2,6}:{(9,1),(11,1),(23,1),(25,1)}
       19:{1,3}:{(10,1),(12,1),(24,1),(26,1)}
       20:{1,7}:{(11,1),(13,1),(25,1)}
       21:{5,7}:{(14,1),(15,1),(27,1)}
       22:{4}:{(16,1)}
       23:{3,6}:{(16,1),(18,1),(28,1),(29,1)}
       24:{3}:{(17,1)}
       25:{2,7}:{(18,1),(20,1),(29,1)}
       26:{2}:{(19,1),(30,1)}
       27:{6}:{(21,1)}
       28:{4,6}:{(22,1),(23,1),(31,1),(32,1),(34,1)}
       29:{3,7}:{(23,1),(25,1),(32,1)}
       30:{1}:{(26,1)}
       31:{5}:{(28,1)}
       32:{4,7}:{(28,1),(29,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  18 :  0:{3,6}:{(1,1),(2,1),(3,1),(4,1)}
        1:{2,6}:{(0,1),(5,1),(6,1),(7,1)}
        2:{4,6}:{(0,1),(8,1),(9,1),(10,1),(21,1)}
        3:{3,5}:{(0,1),(6,1),(8,1),(10,1),(20,1)}
        4:{3,7}:{(0,1),(7,1),(9,1)}
        5:{1,6}:{(1,1),(11,1),(12,1),(13,1)}
        6:{2,5}:{(1,1),(3,1),(12,1),(14,1)}
        7:{2,7}:{(1,1),(4,1),(13,1)}
        8:{5}:{(2,1)}
        9:{4,7}:{(2,1),(4,1),(15,1)}
       10:{4}:{(3,1)}
       11:{2,6}:{(5,1),(16,1),(17,1),(18,1)}
       12:{1,5}:{(5,1),(6,1),(17,1),(19,1)}
       13:{1,7}:{(5,1),(7,1),(18,1)}
       14:{2,4}:{(6,1),(10,1),(19,1),(20,1),(31,1)}
       15:{5,7}:{(8,1),(9,1),(21,1)}
       16:{3,6}:{(11,1),(22,1),(23,1),(24,1)}
       17:{2,5}:{(11,1),(12,1),(23,1),(25,1)}
       18:{2,7}:{(11,1),(13,1),(24,1)}
       19:{1,4}:{(12,1),(14,1),(25,1),(26,1),(33,1)}
       20:{3}:{(14,1)}
       21:{6}:{(15,1)}
       22:{4,6}:{(16,1),(27,1),(28,1),(29,1),(34,1)}
       23:{3,5}:{(16,1),(17,1),(27,1),(29,1),(30,1)}
       24:{3,7}:{(16,1),(18,1),(28,1)}
       25:{2,4}:{(17,1),(19,1),(29,1),(30,1),(31,1)}
       26:{1,3}:{(19,1),(20,1),(30,1),(31,1)}
       27:{5}:{(22,1)}
       28:{4,7}:{(22,1),(24,1),(32,1)}
       29:{4}:{(23,1)}
       30:{3}:{(25,1)}
       31:{2}:{(26,1),(33,1)}
       32:{5,7}:{(27,1),(28,1),(34,1)}
       33:{1}:{(31,1)}
       34:{6}:{(32,1)}

  19 :  0:{3,7}:{(1,1),(2,1),(3,1)}
        1:{2,7}:{(0,1),(4,1),(5,1)}
        2:{4,7}:{(0,1),(6,1),(7,1)}
        3:{3,6}:{(0,1),(5,1),(7,1),(8,1)}
        4:{1,7}:{(1,1),(9,1),(10,1)}
        5:{2,6}:{(1,1),(3,1),(10,1),(11,1)}
        6:{5,7}:{(2,1),(12,1),(13,1)}
        7:{4,6}:{(2,1),(3,1),(12,1),(13,1),(14,1)}
        8:{3,5}:{(3,1),(11,1),(13,1),(14,1),(23,1)}
        9:{2,7}:{(4,1),(15,1),(16,1)}
       10:{1,6}:{(4,1),(5,1),(16,1),(17,1)}
       11:{2,5}:{(5,1),(8,1),(17,1),(18,1)}
       12:{6}:{(6,1)}
       13:{5}:{(7,1)}
       14:{4}:{(8,1)}
       15:{3,7}:{(9,1),(19,1),(20,1)}
       16:{2,6}:{(9,1),(10,1),(20,1),(21,1)}
       17:{1,5}:{(10,1),(11,1),(21,1),(22,1)}
       18:{2,4}:{(11,1),(14,1),(22,1),(23,1),(33,1)}
       19:{4,7}:{(15,1),(24,1),(25,1)}
       20:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       21:{2,5}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,4}:{(17,1),(18,1),(27,1),(28,1),(34,1)}
       23:{3}:{(18,1)}
       24:{5,7}:{(19,1),(29,1),(30,1)}
       25:{4,6}:{(19,1),(20,1),(29,1),(30,1),(31,1)}
       26:{3,5}:{(20,1),(21,1),(30,1),(31,1),(32,1)}
       27:{2,4}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,3}:{(22,1),(23,1),(32,1),(33,1)}
       29:{6}:{(24,1)}
       30:{5}:{(25,1)}
       31:{4}:{(26,1)}
       32:{3}:{(27,1)}
       33:{2}:{(28,1),(34,1)}
       34:{1}:{(33,1)}

  20 :  0:{4,6}:{(1,1),(2,1),(3,1),(11,1),(12,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{5}:{(0,1)}
        3:{4,7}:{(0,1),(6,1),(7,1)}
        4:{2,6}:{(1,1),(8,1),(9,1),(10,1)}
        5:{3,5}:{(1,1),(2,1),(9,1),(11,1),(21,1)}
        6:{3,7}:{(1,1),(3,1),(10,1)}
        7:{5,7}:{(2,1),(3,1),(12,1)}
        8:{1,6}:{(4,1),(13,1),(14,1),(15,1)}
        9:{2,5}:{(4,1),(5,1),(14,1),(16,1)}
       10:{2,7}:{(4,1),(6,1),(15,1)}
       11:{4}:{(5,1)}
       12:{6}:{(7,1)}
       13:{2,6}:{(8,1),(17,1),(18,1),(19,1)}
       14:{1,5}:{(8,1),(9,1),(18,1),(20,1)}
       15:{1,7}:{(8,1),(10,1),(19,1)}
       16:{2,4}:{(9,1),(11,1),(20,1),(21,1),(31,1)}
       17:{3,6}:{(13,1),(22,1),(23,1),(24,1)}
       18:{2,5}:{(13,1),(14,1),(23,1),(25,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{1,4}:{(14,1),(16,1),(25,1),(26,1),(33,1)}
       21:{3}:{(16,1)}
       22:{4,6}:{(17,1),(27,1),(28,1),(29,1),(34,1)}
       23:{3,5}:{(17,1),(18,1),(27,1),(29,1),(30,1)}
       24:{3,7}:{(17,1),(19,1),(28,1)}
       25:{2,4}:{(18,1),(20,1),(29,1),(30,1),(31,1)}
       26:{1,3}:{(20,1),(21,1),(30,1),(31,1)}
       27:{5}:{(22,1)}
       28:{4,7}:{(22,1),(24,1),(32,1)}
       29:{4}:{(23,1)}
       30:{3}:{(25,1)}
       31:{2}:{(26,1),(33,1)}
       32:{5,7}:{(27,1),(28,1),(34,1)}
       33:{1}:{(31,1)}
       34:{6}:{(32,1)}

  21 :  0:{4,7}:{(1,1),(2,1),(3,1)}
        1:{3,7}:{(0,1),(4,1),(5,1)}
        2:{5,7}:{(0,1),(6,1),(7,1)}
        3:{4,6}:{(0,1),(5,1),(6,1),(7,1),(14,1)}
        4:{2,7}:{(1,1),(8,1),(9,1)}
        5:{3,6}:{(1,1),(3,1),(9,1),(10,1)}
        6:{6}:{(2,1)}
        7:{5}:{(3,1)}
        8:{1,7}:{(4,1),(11,1),(12,1)}
        9:{2,6}:{(4,1),(5,1),(12,1),(13,1)}
       10:{3,5}:{(5,1),(7,1),(13,1),(14,1),(23,1)}
       11:{2,7}:{(8,1),(15,1),(16,1)}
       12:{1,6}:{(8,1),(9,1),(16,1),(17,1)}
       13:{2,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{4}:{(10,1)}
       15:{3,7}:{(11,1),(19,1),(20,1)}
       16:{2,6}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,5}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,4}:{(13,1),(14,1),(22,1),(23,1),(33,1)}
       19:{4,7}:{(15,1),(24,1),(25,1)}
       20:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       21:{2,5}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,4}:{(17,1),(18,1),(27,1),(28,1),(34,1)}
       23:{3}:{(18,1)}
       24:{5,7}:{(19,1),(29,1),(30,1)}
       25:{4,6}:{(19,1),(20,1),(29,1),(30,1),(31,1)}
       26:{3,5}:{(20,1),(21,1),(30,1),(31,1),(32,1)}
       27:{2,4}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,3}:{(22,1),(23,1),(32,1),(33,1)}
       29:{6}:{(24,1)}
       30:{5}:{(25,1)}
       31:{4}:{(26,1)}
       32:{3}:{(27,1)}
       33:{2}:{(28,1),(34,1)}
       34:{1}:{(33,1)}

  22 :  0:{5,7}:{(1,1),(2,1),(7,1)}
        1:{4,7}:{(0,1),(3,1),(4,1)}
        2:{6}:{(0,1)}
        3:{3,7}:{(1,1),(5,1),(6,1)}
        4:{4,6}:{(1,1),(2,1),(6,1),(7,1),(14,1)}
        5:{2,7}:{(3,1),(8,1),(9,1)}
        6:{3,6}:{(3,1),(4,1),(9,1),(10,1)}
        7:{5}:{(4,1)}
        8:{1,7}:{(5,1),(11,1),(12,1)}
        9:{2,6}:{(5,1),(6,1),(12,1),(13,1)}
       10:{3,5}:{(6,1),(7,1),(13,1),(14,1),(23,1)}
       11:{2,7}:{(8,1),(15,1),(16,1)}
       12:{1,6}:{(8,1),(9,1),(16,1),(17,1)}
       13:{2,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{4}:{(10,1)}
       15:{3,7}:{(11,1),(19,1),(20,1)}
       16:{2,6}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,5}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,4}:{(13,1),(14,1),(22,1),(23,1),(33,1)}
       19:{4,7}:{(15,1),(24,1),(25,1)}
       20:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       21:{2,5}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,4}:{(17,1),(18,1),(27,1),(28,1),(34,1)}
       23:{3}:{(18,1)}
       24:{5,7}:{(19,1),(29,1),(30,1)}
       25:{4,6}:{(19,1),(20,1),(29,1),(30,1),(31,1)}
       26:{3,5}:{(20,1),(21,1),(30,1),(31,1),(32,1)}
       27:{2,4}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,3}:{(22,1),(23,1),(32,1),(33,1)}
       29:{6}:{(24,1)}
       30:{5}:{(25,1)}
       31:{4}:{(26,1)}
       32:{3}:{(27,1)}
       33:{2}:{(28,1),(34,1)}
       34:{1}:{(33,1)}

  23 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  24 :  0:{1,3,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(53,1)}
        1:{2,6}:{(0,1),(5,1),(7,1),(8,1),(54,1)}
        2:{1,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(28,1),(37,1),(50,1)}
        3:{1,3,5}:{(0,1),(7,1),(9,1),(11,1),(24,1),(27,1)}
        4:{1,3,7}:{(0,1),(8,1),(10,1),(25,1)}
        5:{1,6}:{(1,1),(13,1),(14,1),(55,1)}
        6:{2,4,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(18,1),(29,1),(34,1),(36,1),(47,1),(49,1)}
        7:{2,5}:{(1,1),(3,1),(13,1),(18,1)}
        8:{2,7}:{(1,1),(4,1),(14,1)}
        9:{1,5}:{(2,1),(16,1)}
       10:{1,4,7}:{(2,1),(4,1),(17,1),(19,1),(46,1)}
       11:{1,4}:{(3,1),(18,1),(34,1),(48,1)}
       12:{1,4,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(23,1),(40,1),(41,1)}
       13:{1,5}:{(5,1),(7,1),(23,1)}
       14:{1,7}:{(5,1),(8,1)}
       15:{3,6}:{(6,1),(24,1),(25,1),(27,1),(51,1)}
       16:{2,5}:{(6,1),(9,1),(21,1),(24,1),(52,1)}
       17:{2,4,7}:{(6,1),(8,1),(10,1),(22,1),(25,1),(26,1),(39,1),(43,1)}
       18:{2,4}:{(7,1),(11,1),(23,1),(27,1),(42,1)}
       19:{1,5,7}:{(9,1),(10,1),(26,1),(28,1)}
       20:{1,3,6}:{(12,1),(15,1),(29,1),(30,1),(31,1),(33,1)}
       21:{1,5}:{(12,1),(16,1)}
       22:{1,4,7}:{(12,1),(14,1),(17,1),(31,1),(32,1)}
       23:{1,4}:{(13,1),(18,1),(33,1)}
       24:{3,5}:{(15,1),(16,1),(34,1)}
       25:{3,7}:{(15,1),(17,1)}
       26:{2,5,7}:{(16,1),(17,1),(19,1),(32,1),(35,1),(36,1)}
       27:{3}:{(18,1)}
       28:{1,6}:{(19,1),(36,1)}
       29:{2,6}:{(20,1),(37,1),(38,1),(39,1),(42,1)}
       30:{1,3,5}:{(20,1),(21,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,3,7}:{(20,1),(22,1),(25,1),(39,1)}
       32:{1,5,7}:{(21,1),(22,1),(26,1),(41,1)}
       33:{1,3}:{(23,1),(27,1),(42,1)}
       34:{4}:{(24,1)}
       35:{3,5,7}:{(24,1),(25,1),(26,1),(43,1),(44,1),(52,1)}
       36:{2,6}:{(26,1),(28,1),(41,1),(44,1)}
       37:{1,6}:{(29,1),(45,1),(46,1),(48,1)}
       38:{2,5}:{(29,1),(30,1),(45,1),(47,1)}
       39:{2,7}:{(29,1),(31,1),(46,1)}
       40:{1,4}:{(30,1),(34,1),(47,1),(55,1)}
       41:{1,6}:{(32,1),(36,1)}
       42:{2}:{(33,1),(48,1)}
       43:{4,7}:{(34,1),(35,1),(49,1)}
       44:{3,6}:{(35,1),(36,1),(49,1)}
       45:{1,5}:{(37,1),(38,1),(50,1)}
       46:{1,7}:{(37,1),(39,1)}
       47:{2,4}:{(38,1),(40,1),(50,1),(51,1),(54,1)}
       48:{1}:{(42,1)}
       49:{4,6}:{(43,1),(44,1),(52,1)}
       50:{1,4}:{(45,1),(47,1),(53,1)}
       51:{3}:{(47,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  25 :  0:{1,3,7}:{(1,1),(2,1),(3,1),(12,1)}
        1:{2,7}:{(0,1),(4,1),(6,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(8,1),(37,1)}
        3:{1,3,6}:{(0,1),(6,1),(8,1),(9,1),(24,1),(53,1)}
        4:{1,7}:{(1,1),(11,1)}
        5:{2,4,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(28,1),(33,1)}
        6:{2,6}:{(1,1),(3,1),(11,1),(15,1),(54,1)}
        7:{1,5,7}:{(2,1),(13,1),(16,1),(17,1)}
        8:{1,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(18,1),(43,1),(51,1)}
        9:{1,3,5}:{(3,1),(15,1),(17,1),(18,1),(35,1),(36,1)}
       10:{1,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1)}
       11:{1,6}:{(4,1),(6,1),(22,1),(55,1)}
       12:{3,7}:{(5,1),(24,1)}
       13:{2,5,7}:{(5,1),(7,1),(20,1),(23,1),(25,1),(26,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(27,1),(38,1),(41,1),(42,1),(49,1)}
       15:{2,5}:{(6,1),(9,1),(22,1),(27,1)}
       16:{1,6}:{(7,1),(25,1)}
       17:{1,5}:{(8,1),(26,1)}
       18:{1,4}:{(9,1),(27,1),(42,1),(50,1)}
       19:{1,3,7}:{(10,1),(12,1),(28,1),(29,1)}
       20:{1,5,7}:{(10,1),(13,1),(30,1),(31,1)}
       21:{1,4,6}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(45,1)}
       22:{1,5}:{(11,1),(15,1),(32,1)}
       23:{3,5,7}:{(12,1),(13,1),(33,1),(34,1),(35,1),(47,1)}
       24:{3,6}:{(12,1),(14,1),(35,1),(36,1),(52,1)}
       25:{2,6}:{(13,1),(16,1),(30,1),(34,1)}
       26:{2,5}:{(14,1),(17,1),(31,1),(35,1),(47,1)}
       27:{2,4}:{(15,1),(18,1),(32,1),(36,1),(46,1)}
       28:{2,7}:{(19,1),(37,1),(38,1)}
       29:{1,3,6}:{(19,1),(21,1),(24,1),(38,1),(39,1),(40,1)}
       30:{1,6}:{(20,1),(25,1)}
       31:{1,5}:{(21,1),(26,1)}
       32:{1,4}:{(22,1),(27,1),(40,1)}
       33:{4,7}:{(23,1),(41,1),(42,1)}
       34:{3,6}:{(23,1),(25,1),(41,1)}
       35:{3,5}:{(24,1),(26,1),(42,1)}
       36:{3}:{(27,1)}
       37:{1,7}:{(28,1),(43,1)}
       38:{2,6}:{(28,1),(29,1),(43,1),(44,1),(46,1)}
       39:{1,3,5}:{(29,1),(31,1),(35,1),(44,1),(45,1),(52,1)}
       40:{1,3}:{(32,1),(36,1),(46,1)}
       41:{4,6}:{(33,1),(34,1),(47,1)}
       42:{4}:{(35,1)}
       43:{1,6}:{(37,1),(38,1),(48,1),(50,1)}
       44:{2,5}:{(38,1),(39,1),(48,1),(49,1)}
       45:{1,4}:{(39,1),(42,1),(49,1),(55,1)}
       46:{2}:{(40,1),(50,1)}
       47:{5}:{(41,1)}
       48:{1,5}:{(43,1),(44,1),(51,1)}
       49:{2,4}:{(44,1),(45,1),(51,1),(52,1),(54,1)}
       50:{1}:{(46,1)}
       51:{1,4}:{(48,1),(49,1),(53,1)}
       52:{3}:{(49,1)}
       53:{1,3}:{(51,1),(52,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  26 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(4,1),(22,1),(23,1),(34,1),(48,1)}
        1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(9,1),(24,1),(28,1),(30,1),(33,1),(45,1),(46,1)}
        2:{1,3,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(52,1)}
        3:{1,5}:{(0,1),(7,1)}
        4:{1,4,7}:{(0,1),(8,1),(11,1),(12,1),(44,1)}
        5:{1,4,6}:{(1,1),(13,1),(14,1),(15,1),(19,1),(37,1),(38,1),(41,1)}
        6:{3,6}:{(1,1),(16,1),(17,1),(42,1),(49,1)}
        7:{2,5}:{(1,1),(3,1),(14,1),(16,1),(50,1)}
        8:{2,4,7}:{(1,1),(4,1),(15,1),(17,1),(18,1),(21,1),(36,1),(39,1)}
        9:{2,6}:{(2,1),(19,1),(20,1),(21,1),(54,1)}
       10:{1,3,5}:{(2,1),(3,1),(16,1),(20,1),(22,1),(42,1)}
       11:{1,3,7}:{(2,1),(4,1),(17,1),(21,1)}
       12:{1,5,7}:{(3,1),(4,1),(18,1),(23,1)}
       13:{1,3,6}:{(5,1),(6,1),(24,1),(25,1),(26,1),(47,1)}
       14:{1,5}:{(5,1),(7,1)}
       15:{1,4,7}:{(5,1),(8,1),(26,1),(27,1),(32,1)}
       16:{3,5}:{(6,1),(7,1),(28,1)}
       17:{3,7}:{(6,1),(8,1)}
       18:{2,5,7}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1)}
       19:{1,6}:{(9,1),(31,1),(32,1),(55,1)}
       20:{2,5}:{(9,1),(10,1),(31,1),(33,1)}
       21:{2,7}:{(9,1),(11,1),(32,1)}
       22:{1,4}:{(10,1),(28,1),(33,1),(53,1)}
       23:{1,6}:{(12,1),(30,1)}
       24:{2,6}:{(13,1),(34,1),(35,1),(36,1),(51,1)}
       25:{1,3,5}:{(13,1),(14,1),(16,1),(35,1),(37,1),(49,1)}
       26:{1,3,7}:{(13,1),(15,1),(17,1),(36,1)}
       27:{1,5,7}:{(14,1),(15,1),(18,1),(38,1)}
       28:{4}:{(16,1)}
       29:{3,5,7}:{(16,1),(17,1),(18,1),(39,1),(40,1),(50,1)}
       30:{2,6}:{(18,1),(23,1),(38,1),(40,1)}
       31:{1,5}:{(19,1),(20,1),(41,1)}
       32:{1,7}:{(19,1),(21,1)}
       33:{2,4}:{(20,1),(22,1),(41,1),(42,1),(51,1)}
       34:{1,6}:{(24,1),(43,1),(44,1),(53,1)}
       35:{2,5}:{(24,1),(25,1),(43,1),(45,1)}
       36:{2,7}:{(24,1),(26,1),(44,1)}
       37:{1,4}:{(25,1),(28,1),(45,1),(55,1)}
       38:{1,6}:{(27,1),(30,1)}
       39:{4,7}:{(28,1),(29,1),(46,1)}
       40:{3,6}:{(29,1),(30,1),(46,1)}
       41:{1,4}:{(31,1),(33,1),(47,1)}
       42:{3}:{(33,1)}
       43:{1,5}:{(34,1),(35,1),(48,1)}
       44:{1,7}:{(34,1),(36,1)}
       45:{2,4}:{(35,1),(37,1),(48,1),(49,1),(54,1)}
       46:{4,6}:{(39,1),(40,1),(50,1)}
       47:{1,3}:{(41,1),(42,1),(51,1)}
       48:{1,4}:{(43,1),(45,1),(52,1)}
       49:{3}:{(45,1)}
       50:{5}:{(46,1)}
       51:{2}:{(47,1),(53,1)}
       52:{1,3}:{(48,1),(49,1),(54,1)}
       53:{1}:{(51,1)}
       54:{2}:{(52,1),(55,1)}
       55:{1}:{(54,1)}

  27 :  0:{1,4,7}:{(1,1),(2,1),(3,1),(4,1),(33,1)}
        1:{2,4,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(9,1),(23,1),(27,1)}
        2:{1,3,7}:{(0,1),(6,1),(9,1),(10,1)}
        3:{1,5,7}:{(0,1),(7,1),(11,1),(12,1)}
        4:{1,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(32,1),(40,1),(49,1)}
        5:{1,4,7}:{(1,1),(13,1),(14,1),(15,1),(20,1)}
        6:{3,7}:{(1,1),(17,1)}
        7:{2,5,7}:{(1,1),(3,1),(14,1),(16,1),(18,1),(19,1)}
        8:{2,4,6}:{(1,1),(4,1),(15,1),(17,1),(18,1),(19,1),(21,1),(34,1),(36,1),(37,1),(39,1),(47,1)}
        9:{2,7}:{(2,1),(20,1),(21,1)}
       10:{1,3,6}:{(2,1),(4,1),(17,1),(21,1),(22,1),(52,1)}
       11:{1,6}:{(3,1),(18,1)}
       12:{1,5}:{(4,1),(19,1)}
       13:{1,3,7}:{(5,1),(6,1),(23,1),(24,1)}
       14:{1,5,7}:{(5,1),(7,1),(25,1),(26,1)}
       15:{1,4,6}:{(5,1),(8,1),(24,1),(25,1),(26,1),(30,1),(42,1),(44,1)}
       16:{3,5,7}:{(6,1),(7,1),(27,1),(28,1),(29,1),(43,1)}
       17:{3,6}:{(6,1),(8,1),(29,1),(45,1),(50,1)}
       18:{2,6}:{(7,1),(11,1),(25,1),(28,1)}
       19:{2,5}:{(8,1),(12,1),(26,1),(29,1),(43,1)}
       20:{1,7}:{(9,1),(30,1)}
       21:{2,6}:{(9,1),(10,1),(30,1),(31,1),(54,1)}
       22:{1,3,5}:{(10,1),(12,1),(29,1),(31,1),(32,1),(45,1)}
       23:{2,7}:{(13,1),(33,1),(34,1)}
       24:{1,3,6}:{(13,1),(15,1),(17,1),(34,1),(35,1),(48,1)}
       25:{1,6}:{(14,1),(18,1)}
       26:{1,5}:{(15,1),(19,1)}
       27:{4,7}:{(16,1),(36,1),(37,1)}
       28:{3,6}:{(16,1),(18,1),(36,1)}
       29:{3,5}:{(17,1),(19,1),(37,1)}
       30:{1,6}:{(20,1),(21,1),(38,1),(55,1)}
       31:{2,5}:{(21,1),(22,1),(38,1),(39,1)}
       32:{1,4}:{(22,1),(37,1),(39,1),(53,1)}
       33:{1,7}:{(23,1),(40,1)}
       34:{2,6}:{(23,1),(24,1),(40,1),(41,1),(51,1)}
       35:{1,3,5}:{(24,1),(26,1),(29,1),(41,1),(42,1),(50,1)}
       36:{4,6}:{(27,1),(28,1),(43,1)}
       37:{4}:{(29,1)}
       38:{1,5}:{(30,1),(31,1),(44,1)}
       39:{2,4}:{(31,1),(32,1),(44,1),(45,1),(51,1)}
       40:{1,6}:{(33,1),(34,1),(46,1),(53,1)}
       41:{2,5}:{(34,1),(35,1),(46,1),(47,1)}
       42:{1,4}:{(35,1),(37,1),(47,1),(55,1)}
       43:{5}:{(36,1)}
       44:{1,4}:{(38,1),(39,1),(48,1)}
       45:{3}:{(39,1)}
       46:{1,5}:{(40,1),(41,1),(49,1)}
       47:{2,4}:{(41,1),(42,1),(49,1),(50,1),(54,1)}
       48:{1,3}:{(44,1),(45,1),(51,1)}
       49:{1,4}:{(46,1),(47,1),(52,1)}
       50:{3}:{(47,1)}
       51:{2}:{(48,1),(53,1)}
       52:{1,3}:{(49,1),(50,1),(54,1)}
       53:{1}:{(51,1)}
       54:{2}:{(52,1),(55,1)}
       55:{1}:{(54,1)}

  28 :  0:{1,5,7}:{(1,1),(2,1),(3,1),(18,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1)}
        2:{1,4,7}:{(0,1),(6,1),(8,1),(9,1),(35,1)}
        3:{1,6}:{(0,1),(7,1)}
        4:{1,5,7}:{(1,1),(10,1),(11,1),(29,1)}
        5:{3,5,7}:{(1,1),(12,1),(13,1),(14,1),(30,1),(31,1)}
        6:{2,4,7}:{(1,1),(2,1),(10,1),(12,1),(14,1),(15,1),(16,1),(27,1)}
        7:{2,6}:{(1,1),(3,1),(11,1),(13,1)}
        8:{1,3,7}:{(2,1),(14,1),(16,1),(17,1)}
        9:{1,4,6}:{(2,1),(3,1),(15,1),(17,1),(18,1),(34,1),(41,1),(49,1)}
       10:{1,4,7}:{(4,1),(6,1),(19,1),(20,1),(24,1)}
       11:{1,6}:{(4,1),(7,1)}
       12:{4,7}:{(5,1),(21,1),(38,1)}
       13:{3,6}:{(5,1),(7,1),(21,1)}
       14:{3,7}:{(6,1),(22,1)}
       15:{2,4,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(22,1),(23,1),(25,1),(36,1),(38,1),(40,1),(47,1)}
       16:{2,7}:{(8,1),(24,1),(25,1)}
       17:{1,3,6}:{(8,1),(9,1),(22,1),(25,1),(26,1),(52,1)}
       18:{1,5}:{(9,1),(23,1)}
       19:{1,3,7}:{(10,1),(14,1),(27,1),(28,1)}
       20:{1,4,6}:{(10,1),(11,1),(15,1),(28,1),(29,1),(32,1),(43,1),(44,1)}
       21:{4,6}:{(12,1),(13,1),(30,1)}
       22:{3,6}:{(14,1),(15,1),(31,1),(45,1),(50,1)}
       23:{2,5}:{(15,1),(18,1),(29,1),(30,1),(31,1)}
       24:{1,7}:{(16,1),(32,1)}
       25:{2,6}:{(16,1),(17,1),(32,1),(33,1),(54,1)}
       26:{1,3,5}:{(17,1),(18,1),(31,1),(33,1),(34,1),(45,1)}
       27:{2,7}:{(19,1),(35,1),(36,1)}
       28:{1,3,6}:{(19,1),(20,1),(22,1),(36,1),(37,1),(48,1)}
       29:{1,5}:{(20,1),(23,1)}
       30:{5}:{(21,1)}
       31:{3,5}:{(22,1),(23,1),(38,1)}
       32:{1,6}:{(24,1),(25,1),(39,1),(55,1)}
       33:{2,5}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,4}:{(26,1),(38,1),(40,1),(53,1)}
       35:{1,7}:{(27,1),(41,1)}
       36:{2,6}:{(27,1),(28,1),(41,1),(42,1),(51,1)}
       37:{1,3,5}:{(28,1),(29,1),(31,1),(42,1),(43,1),(50,1)}
       38:{4}:{(31,1)}
       39:{1,5}:{(32,1),(33,1),(44,1)}
       40:{2,4}:{(33,1),(34,1),(44,1),(45,1),(51,1)}
       41:{1,6}:{(35,1),(36,1),(46,1),(53,1)}
       42:{2,5}:{(36,1),(37,1),(46,1),(47,1)}
       43:{1,4}:{(37,1),(38,1),(47,1),(55,1)}
       44:{1,4}:{(39,1),(40,1),(48,1)}
       45:{3}:{(40,1)}
       46:{1,5}:{(41,1),(42,1),(49,1)}
       47:{2,4}:{(42,1),(43,1),(49,1),(50,1),(54,1)}
       48:{1,3}:{(44,1),(45,1),(51,1)}
       49:{1,4}:{(46,1),(47,1),(52,1)}
       50:{3}:{(47,1)}
       51:{2}:{(48,1),(53,1)}
       52:{1,3}:{(49,1),(50,1),(54,1)}
       53:{1}:{(51,1)}
       54:{2}:{(52,1),(55,1)}
       55:{1}:{(54,1)}

  29 :  0:{1,3}:{(1,1),(2,1),(7,1)}
        1:{2}:{(0,1),(3,1)}
        2:{1,4}:{(0,1),(4,1),(5,1),(20,1)}
        3:{1}:{(1,1)}
        4:{2,4}:{(1,1),(2,1),(6,1),(7,1),(8,1),(15,1),(17,1)}
        5:{1,5}:{(2,1),(8,1),(9,1)}
        6:{1,4}:{(3,1),(4,1),(10,1),(11,1)}
        7:{3}:{(4,1)}
        8:{2,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,6}:{(5,1),(13,1),(14,1)}
       10:{1,3}:{(6,1),(7,1),(15,1)}
       11:{1,5}:{(6,1),(8,1),(16,1)}
       12:{3,5}:{(7,1),(8,1),(17,1),(18,1),(24,1)}
       13:{2,6}:{(8,1),(9,1),(16,1),(18,1),(19,1)}
       14:{1,7}:{(9,1),(19,1)}
       15:{2}:{(10,1),(20,1)}
       16:{1,6}:{(11,1),(13,1),(21,1)}
       17:{4}:{(12,1)}
       18:{3,6}:{(12,1),(13,1),(22,1),(23,1)}
       19:{2,7}:{(13,1),(14,1),(21,1),(23,1)}
       20:{1}:{(15,1)}
       21:{1,7}:{(16,1),(19,1)}
       22:{4,6}:{(17,1),(18,1),(24,1),(25,1),(27,1)}
       23:{3,7}:{(18,1),(19,1),(25,1)}
       24:{5}:{(22,1)}
       25:{4,7}:{(22,1),(23,1),(26,1)}
       26:{5,7}:{(24,1),(25,1),(27,1)}
       27:{6}:{(26,1)}

  30 :  0:{2,3}:{(1,1),(2,1)}
        1:{1,3}:{(0,1),(3,1),(4,1),(11,1)}
        2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2}:{(1,1)}
        4:{1,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,4}:{(2,1),(9,1)}
        6:{2,5}:{(2,1),(8,1),(9,1),(10,1)}
        7:{2,4}:{(3,1),(4,1),(11,1),(12,1),(22,1)}
        8:{1,5}:{(4,1),(6,1),(12,1),(13,1)}
        9:{3,5}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,6}:{(6,1),(13,1),(15,1),(16,1)}
       11:{3}:{(7,1)}
       12:{2,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,5}:{(9,1),(20,1)}
       15:{3,6}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,7}:{(10,1),(19,1),(21,1)}
       17:{3,5}:{(11,1),(12,1),(22,1),(23,1),(30,1)}
       18:{2,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,7}:{(13,1),(16,1),(24,1)}
       20:{4,6}:{(14,1),(15,1),(25,1),(26,1)}
       21:{3,7}:{(15,1),(16,1),(26,1)}
       22:{4}:{(17,1)}
       23:{3,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{2,7}:{(18,1),(19,1),(28,1)}
       25:{5,6}:{(20,1),(29,1)}
       26:{4,7}:{(20,1),(21,1),(29,1)}
       27:{4,6}:{(22,1),(23,1),(30,1),(31,1),(34,1)}
       28:{3,7}:{(23,1),(24,1),(31,1)}
       29:{5,7}:{(25,1),(26,1),(32,1)}
       30:{5}:{(27,1)}
       31:{4,7}:{(27,1),(28,1),(33,1)}
       32:{6,7}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

  31 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(19,1),(21,1),(37,1),(38,1)}
        1:{1,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(28,1),(29,1),(41,1)}
        2:{3,6}:{(0,1),(9,1),(10,1),(42,1)}
        3:{2,5}:{(0,1),(7,1),(9,1),(43,1)}
        4:{2,4,7}:{(0,1),(8,1),(10,1),(11,1),(27,1),(30,1)}
        5:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(32,1),(34,1),(37,1),(44,1)}
        6:{1,3,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(45,1)}
        7:{1,5}:{(1,1),(3,1),(13,1)}
        8:{1,4,7}:{(1,1),(4,1),(14,1),(17,1),(18,1),(36,1)}
        9:{3,5}:{(2,1),(3,1),(19,1)}
       10:{3,7}:{(2,1),(4,1)}
       11:{2,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1)}
       12:{3,6}:{(5,1),(22,1),(23,1),(42,1)}
       13:{2,5}:{(5,1),(7,1),(22,1),(46,1)}
       14:{2,4,7}:{(5,1),(8,1),(23,1),(24,1),(27,1),(39,1)}
       15:{2,6}:{(6,1),(25,1),(26,1),(27,1),(47,1)}
       16:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(42,1)}
       17:{1,3,7}:{(6,1),(8,1),(10,1),(23,1),(27,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(24,1),(29,1)}
       19:{4}:{(9,1)}
       20:{3,5,7}:{(9,1),(10,1),(11,1),(30,1),(31,1),(43,1)}
       21:{2,6}:{(11,1),(29,1),(31,1)}
       22:{3,5}:{(12,1),(13,1),(32,1)}
       23:{3,7}:{(12,1),(14,1)}
       24:{2,5,7}:{(13,1),(14,1),(18,1),(33,1),(34,1)}
       25:{1,6}:{(15,1),(35,1),(36,1),(48,1)}
       26:{2,5}:{(15,1),(16,1),(35,1),(37,1)}
       27:{2,7}:{(15,1),(17,1),(36,1)}
       28:{1,4}:{(16,1),(19,1),(32,1),(37,1),(48,1)}
       29:{1,6}:{(18,1),(21,1),(34,1)}
       30:{4,7}:{(19,1),(20,1),(38,1)}
       31:{3,6}:{(20,1),(21,1),(38,1)}
       32:{4}:{(22,1)}
       33:{3,5,7}:{(22,1),(23,1),(24,1),(39,1),(40,1),(46,1)}
       34:{2,6}:{(24,1),(29,1),(40,1)}
       35:{1,5}:{(25,1),(26,1),(41,1)}
       36:{1,7}:{(25,1),(27,1)}
       37:{2,4}:{(26,1),(28,1),(41,1),(42,1),(47,1)}
       38:{4,6}:{(30,1),(31,1),(43,1)}
       39:{4,7}:{(32,1),(33,1),(44,1)}
       40:{3,6}:{(33,1),(34,1),(44,1)}
       41:{1,4}:{(35,1),(37,1),(45,1)}
       42:{3}:{(37,1)}
       43:{5}:{(38,1)}
       44:{4,6}:{(39,1),(40,1),(46,1)}
       45:{1,3}:{(41,1),(42,1),(47,1)}
       46:{5}:{(44,1)}
       47:{2}:{(45,1),(48,1)}
       48:{1}:{(47,1)}

  32 :  0:{2,4,7}:{(1,1),(2,1),(3,1),(4,1),(16,1),(20,1)}
        1:{1,4,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(27,1)}
        2:{3,7}:{(0,1),(10,1)}
        3:{2,5,7}:{(0,1),(7,1),(9,1),(11,1),(12,1)}
        4:{2,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(28,1),(30,1),(31,1),(42,1)}
        5:{2,4,7}:{(1,1),(13,1),(14,1),(15,1),(16,1),(32,1)}
        6:{1,3,7}:{(1,1),(2,1),(13,1),(16,1),(17,1)}
        7:{1,5,7}:{(1,1),(3,1),(14,1),(18,1),(19,1)}
        8:{1,4,6}:{(1,1),(4,1),(15,1),(17,1),(18,1),(19,1),(35,1),(37,1),(44,1)}
        9:{3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(38,1)}
       10:{3,6}:{(2,1),(4,1),(22,1),(45,1)}
       11:{2,6}:{(3,1),(18,1),(21,1)}
       12:{2,5}:{(4,1),(19,1),(22,1),(38,1)}
       13:{3,7}:{(5,1),(24,1)}
       14:{2,5,7}:{(5,1),(7,1),(23,1),(25,1),(26,1)}
       15:{2,4,6}:{(5,1),(8,1),(24,1),(25,1),(26,1),(28,1),(39,1),(40,1),(42,1)}
       16:{2,7}:{(6,1),(27,1),(28,1)}
       17:{1,3,6}:{(6,1),(8,1),(10,1),(24,1),(28,1),(29,1),(46,1)}
       18:{1,6}:{(7,1),(11,1),(25,1)}
       19:{1,5}:{(8,1),(12,1),(26,1)}
       20:{4,7}:{(9,1),(30,1),(31,1)}
       21:{3,6}:{(9,1),(11,1),(30,1)}
       22:{3,5}:{(10,1),(12,1),(31,1)}
       23:{3,5,7}:{(13,1),(14,1),(32,1),(33,1),(34,1),(43,1)}
       24:{3,6}:{(13,1),(15,1),(34,1),(45,1)}
       25:{2,6}:{(14,1),(18,1),(33,1)}
       26:{2,5}:{(15,1),(19,1),(34,1),(43,1)}
       27:{1,7}:{(16,1),(35,1)}
       28:{2,6}:{(16,1),(17,1),(35,1),(36,1),(47,1)}
       29:{1,3,5}:{(17,1),(19,1),(22,1),(34,1),(36,1),(37,1),(45,1)}
       30:{4,6}:{(20,1),(21,1),(38,1)}
       31:{4}:{(22,1)}
       32:{4,7}:{(23,1),(39,1),(40,1)}
       33:{3,6}:{(23,1),(25,1),(39,1)}
       34:{3,5}:{(24,1),(26,1),(40,1)}
       35:{1,6}:{(27,1),(28,1),(41,1),(48,1)}
       36:{2,5}:{(28,1),(29,1),(41,1),(42,1)}
       37:{1,4}:{(29,1),(31,1),(40,1),(42,1),(48,1)}
       38:{5}:{(30,1)}
       39:{4,6}:{(32,1),(33,1),(43,1)}
       40:{4}:{(34,1)}
       41:{1,5}:{(35,1),(36,1),(44,1)}
       42:{2,4}:{(36,1),(37,1),(44,1),(45,1),(47,1)}
       43:{5}:{(39,1)}
       44:{1,4}:{(41,1),(42,1),(46,1)}
       45:{3}:{(42,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  33 :  0:{2,5,7}:{(1,1),(2,1),(3,1),(4,1),(19,1)}
        1:{1,5,7}:{(0,1),(5,1),(6,1),(7,1),(26,1)}
        2:{3,5,7}:{(0,1),(8,1),(9,1),(10,1),(27,1),(28,1)}
        3:{2,4,7}:{(0,1),(6,1),(8,1),(10,1),(11,1),(24,1)}
        4:{2,6}:{(0,1),(7,1),(9,1)}
        5:{2,5,7}:{(1,1),(12,1),(13,1),(14,1),(31,1)}
        6:{1,4,7}:{(1,1),(3,1),(13,1),(15,1),(16,1),(32,1)}
        7:{1,6}:{(1,1),(4,1),(14,1)}
        8:{4,7}:{(2,1),(17,1),(35,1)}
        9:{3,6}:{(2,1),(4,1),(17,1)}
       10:{3,7}:{(3,1),(18,1)}
       11:{2,4,6}:{(3,1),(4,1),(16,1),(17,1),(18,1),(19,1),(33,1),(35,1),(43,1)}
       12:{3,5,7}:{(5,1),(20,1),(21,1),(22,1),(36,1),(37,1)}
       13:{2,4,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(24,1)}
       14:{2,6}:{(5,1),(7,1),(21,1)}
       15:{1,3,7}:{(6,1),(10,1),(22,1),(24,1),(25,1)}
       16:{1,4,6}:{(6,1),(7,1),(11,1),(23,1),(25,1),(26,1),(38,1),(40,1),(44,1)}
       17:{4,6}:{(8,1),(9,1),(27,1)}
       18:{3,6}:{(10,1),(11,1),(28,1),(45,1)}
       19:{2,5}:{(11,1),(26,1),(27,1),(28,1)}
       20:{4,7}:{(12,1),(29,1),(41,1)}
       21:{3,6}:{(12,1),(14,1),(29,1)}
       22:{3,7}:{(13,1),(30,1)}
       23:{2,4,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       24:{2,7}:{(15,1),(32,1),(33,1)}
       25:{1,3,6}:{(15,1),(16,1),(18,1),(30,1),(33,1),(34,1),(46,1)}
       26:{1,5}:{(16,1),(19,1),(31,1)}
       27:{5}:{(17,1)}
       28:{3,5}:{(18,1),(19,1),(35,1)}
       29:{4,6}:{(20,1),(21,1),(36,1)}
       30:{3,6}:{(22,1),(23,1),(37,1),(45,1)}
       31:{2,5}:{(23,1),(26,1),(36,1),(37,1)}
       32:{1,7}:{(24,1),(38,1)}
       33:{2,6}:{(24,1),(25,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(25,1),(26,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  34 :  0:{2,4}:{(1,1),(2,1),(3,1),(11,1),(13,1)}
        1:{1,4}:{(0,1),(4,1),(5,1),(6,1),(18,1)}
        2:{3}:{(0,1)}
        3:{2,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{2,4}:{(1,1),(9,1),(10,1),(11,1),(22,1)}
        5:{1,3}:{(1,1),(2,1),(9,1),(11,1)}
        6:{1,5}:{(1,1),(3,1),(10,1),(12,1)}
        7:{3,5}:{(2,1),(3,1),(13,1),(14,1),(25,1)}
        8:{2,6}:{(3,1),(12,1),(14,1),(15,1)}
        9:{3}:{(4,1)}
       10:{2,5}:{(4,1),(6,1),(16,1),(17,1)}
       11:{2}:{(5,1),(18,1)}
       12:{1,6}:{(6,1),(8,1),(17,1),(19,1)}
       13:{4}:{(7,1)}
       14:{3,6}:{(7,1),(8,1),(20,1),(21,1)}
       15:{2,7}:{(8,1),(19,1),(21,1)}
       16:{3,5}:{(9,1),(10,1),(22,1),(23,1),(30,1)}
       17:{2,6}:{(10,1),(12,1),(23,1),(24,1)}
       18:{1}:{(11,1)}
       19:{1,7}:{(12,1),(15,1),(24,1)}
       20:{4,6}:{(13,1),(14,1),(25,1),(26,1),(32,1)}
       21:{3,7}:{(14,1),(15,1),(26,1)}
       22:{4}:{(16,1)}
       23:{3,6}:{(16,1),(17,1),(27,1),(28,1)}
       24:{2,7}:{(17,1),(19,1),(28,1)}
       25:{5}:{(20,1)}
       26:{4,7}:{(20,1),(21,1),(29,1)}
       27:{4,6}:{(22,1),(23,1),(30,1),(31,1),(34,1)}
       28:{3,7}:{(23,1),(24,1),(31,1)}
       29:{5,7}:{(25,1),(26,1),(32,1)}
       30:{5}:{(27,1)}
       31:{4,7}:{(27,1),(28,1),(33,1)}
       32:{6}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

  35 :  0:{3,4}:{(1,1),(2,1)}
        1:{2,4}:{(0,1),(3,1),(4,1),(5,1)}
        2:{3,5}:{(0,1),(5,1),(6,1),(7,1)}
        3:{2,3}:{(1,1),(8,1)}
        4:{1,4}:{(1,1),(8,1),(9,1),(10,1)}
        5:{2,5}:{(1,1),(2,1),(10,1),(11,1)}
        6:{4,5}:{(2,1),(12,1)}
        7:{3,6}:{(2,1),(11,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(4,1),(14,1),(15,1)}
        9:{2,4}:{(4,1),(14,1),(15,1),(16,1),(25,1)}
       10:{1,5}:{(4,1),(5,1),(16,1),(17,1)}
       11:{2,6}:{(5,1),(7,1),(17,1),(18,1)}
       12:{4,6}:{(6,1),(7,1),(19,1),(20,1)}
       13:{3,7}:{(7,1),(18,1),(20,1)}
       14:{2}:{(8,1)}
       15:{3}:{(9,1)}
       16:{2,5}:{(9,1),(10,1),(21,1),(22,1)}
       17:{1,6}:{(10,1),(11,1),(22,1),(23,1)}
       18:{2,7}:{(11,1),(13,1),(23,1)}
       19:{5,6}:{(12,1),(24,1)}
       20:{4,7}:{(12,1),(13,1),(24,1)}
       21:{3,5}:{(15,1),(16,1),(25,1),(26,1),(31,1)}
       22:{2,6}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,7}:{(17,1),(18,1),(27,1)}
       24:{5,7}:{(19,1),(20,1),(28,1)}
       25:{4}:{(21,1)}
       26:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       27:{2,7}:{(22,1),(23,1),(30,1)}
       28:{6,7}:{(24,1)}
       29:{4,6}:{(25,1),(26,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  36 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(11,1),(13,1),(28,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1)}
        2:{4,7}:{(0,1),(7,1),(35,1)}
        3:{3,6}:{(0,1),(6,1),(7,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1)}
        5:{2,4,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(25,1)}
        6:{2,6}:{(1,1),(3,1),(10,1)}
        7:{4,6}:{(2,1),(3,1),(13,1)}
        8:{2,5,7}:{(4,1),(14,1),(15,1),(16,1),(31,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(32,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{3,7}:{(5,1),(19,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(18,1),(19,1),(20,1),(33,1),(35,1),(43,1)}
       13:{5}:{(7,1)}
       14:{3,5,7}:{(8,1),(21,1),(22,1),(23,1),(36,1),(37,1)}
       15:{2,4,7}:{(8,1),(9,1),(21,1),(23,1),(24,1),(25,1)}
       16:{2,6}:{(8,1),(10,1),(22,1)}
       17:{1,3,7}:{(9,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(38,1),(40,1),(44,1)}
       19:{3,6}:{(11,1),(12,1),(28,1),(45,1)}
       20:{2,5}:{(12,1),(13,1),(27,1),(28,1)}
       21:{4,7}:{(14,1),(29,1),(41,1)}
       22:{3,6}:{(14,1),(16,1),(29,1)}
       23:{3,7}:{(15,1),(30,1)}
       24:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       25:{2,7}:{(17,1),(32,1),(33,1)}
       26:{1,3,6}:{(17,1),(18,1),(19,1),(30,1),(33,1),(34,1),(46,1)}
       27:{1,5}:{(18,1),(20,1),(31,1)}
       28:{3,5}:{(19,1),(20,1),(35,1)}
       29:{4,6}:{(21,1),(22,1),(36,1)}
       30:{3,6}:{(23,1),(24,1),(37,1),(45,1)}
       31:{2,5}:{(24,1),(27,1),(36,1),(37,1)}
       32:{1,7}:{(25,1),(38,1)}
       33:{2,6}:{(25,1),(26,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(26,1),(27,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  37 :  0:{3,5}:{(1,1),(2,1),(3,1),(12,1),(14,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{4}:{(0,1)}
        3:{3,6}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,5}:{(1,1),(9,1),(10,1),(11,1)}
        5:{2,4}:{(1,1),(2,1),(10,1),(12,1),(26,1)}
        6:{2,6}:{(1,1),(3,1),(11,1),(13,1)}
        7:{4,6}:{(2,1),(3,1),(14,1),(15,1),(27,1)}
        8:{3,7}:{(3,1),(13,1),(15,1)}
        9:{2,5}:{(4,1),(16,1),(17,1),(18,1)}
       10:{1,4}:{(4,1),(5,1),(17,1),(19,1),(30,1)}
       11:{1,6}:{(4,1),(6,1),(18,1),(20,1)}
       12:{3}:{(5,1)}
       13:{2,7}:{(6,1),(8,1),(20,1)}
       14:{5}:{(7,1)}
       15:{4,7}:{(7,1),(8,1),(21,1)}
       16:{3,5}:{(9,1),(22,1),(23,1),(24,1),(31,1)}
       17:{2,4}:{(9,1),(10,1),(22,1),(24,1),(26,1)}
       18:{2,6}:{(9,1),(11,1),(23,1),(25,1)}
       19:{1,3}:{(10,1),(12,1),(24,1),(26,1)}
       20:{1,7}:{(11,1),(13,1),(25,1)}
       21:{5,7}:{(14,1),(15,1),(27,1)}
       22:{4}:{(16,1)}
       23:{3,6}:{(16,1),(18,1),(28,1),(29,1)}
       24:{3}:{(17,1)}
       25:{2,7}:{(18,1),(20,1),(29,1)}
       26:{2}:{(19,1),(30,1)}
       27:{6}:{(21,1)}
       28:{4,6}:{(22,1),(23,1),(31,1),(32,1),(34,1)}
       29:{3,7}:{(23,1),(25,1),(32,1)}
       30:{1}:{(26,1)}
       31:{5}:{(28,1)}
       32:{4,7}:{(28,1),(29,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  38 :  0:{4,5}:{(1,1),(2,1)}
        1:{3,5}:{(0,1),(3,1),(4,1),(5,1)}
        2:{4,6}:{(0,1),(5,1),(6,1),(7,1)}
        3:{3,4}:{(1,1),(8,1)}
        4:{2,5}:{(1,1),(8,1),(9,1),(10,1)}
        5:{3,6}:{(1,1),(2,1),(10,1),(11,1)}
        6:{5,6}:{(2,1),(12,1)}
        7:{4,7}:{(2,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(13,1),(14,1)}
        9:{1,5}:{(4,1),(14,1),(15,1),(16,1)}
       10:{2,6}:{(4,1),(5,1),(16,1),(17,1)}
       11:{3,7}:{(5,1),(7,1),(17,1)}
       12:{5,7}:{(6,1),(7,1),(18,1)}
       13:{2,3}:{(8,1),(19,1)}
       14:{1,4}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,5}:{(9,1),(20,1),(21,1),(22,1)}
       16:{1,6}:{(9,1),(10,1),(22,1),(23,1)}
       17:{2,7}:{(10,1),(11,1),(23,1)}
       18:{6,7}:{(12,1)}
       19:{1,3}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,4}:{(14,1),(15,1),(24,1),(25,1),(26,1)}
       21:{3,5}:{(15,1),(25,1),(26,1),(27,1),(31,1)}
       22:{2,6}:{(15,1),(16,1),(27,1),(28,1)}
       23:{1,7}:{(16,1),(17,1),(28,1)}
       24:{2}:{(19,1)}
       25:{3}:{(20,1)}
       26:{4}:{(21,1)}
       27:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       28:{2,7}:{(22,1),(23,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  39 :  0:{4,6}:{(1,1),(2,1),(3,1),(11,1),(12,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{5}:{(0,1)}
        3:{4,7}:{(0,1),(6,1),(7,1)}
        4:{2,6}:{(1,1),(8,1),(9,1),(10,1)}
        5:{3,5}:{(1,1),(2,1),(9,1),(11,1),(21,1)}
        6:{3,7}:{(1,1),(3,1),(10,1)}
        7:{5,7}:{(2,1),(3,1),(12,1)}
        8:{1,6}:{(4,1),(13,1),(14,1),(15,1)}
        9:{2,5}:{(4,1),(5,1),(14,1),(16,1)}
       10:{2,7}:{(4,1),(6,1),(15,1)}
       11:{4}:{(5,1)}
       12:{6}:{(7,1)}
       13:{2,6}:{(8,1),(17,1),(18,1),(19,1)}
       14:{1,5}:{(8,1),(9,1),(18,1),(20,1)}
       15:{1,7}:{(8,1),(10,1),(19,1)}
       16:{2,4}:{(9,1),(11,1),(20,1),(21,1),(31,1)}
       17:{3,6}:{(13,1),(22,1),(23,1),(24,1)}
       18:{2,5}:{(13,1),(14,1),(23,1),(25,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{1,4}:{(14,1),(16,1),(25,1),(26,1),(33,1)}
       21:{3}:{(16,1)}
       22:{4,6}:{(17,1),(27,1),(28,1),(29,1),(34,1)}
       23:{3,5}:{(17,1),(18,1),(27,1),(29,1),(30,1)}
       24:{3,7}:{(17,1),(19,1),(28,1)}
       25:{2,4}:{(18,1),(20,1),(29,1),(30,1),(31,1)}
       26:{1,3}:{(20,1),(21,1),(30,1),(31,1)}
       27:{5}:{(22,1)}
       28:{4,7}:{(22,1),(24,1),(32,1)}
       29:{4}:{(23,1)}
       30:{3}:{(25,1)}
       31:{2}:{(26,1),(33,1)}
       32:{5,7}:{(27,1),(28,1),(34,1)}
       33:{1}:{(31,1)}
       34:{6}:{(32,1)}

  40 :  0:{5,6}:{(1,1),(2,1)}
        1:{4,6}:{(0,1),(3,1),(4,1),(5,1)}
        2:{5,7}:{(0,1),(5,1),(6,1)}
        3:{4,5}:{(1,1),(7,1)}
        4:{3,6}:{(1,1),(7,1),(8,1),(9,1)}
        5:{4,7}:{(1,1),(2,1),(9,1)}
        6:{6,7}:{(2,1)}
        7:{3,5}:{(3,1),(4,1),(10,1),(11,1)}
        8:{2,6}:{(4,1),(11,1),(12,1),(13,1)}
        9:{3,7}:{(4,1),(5,1),(13,1)}
       10:{3,4}:{(7,1),(14,1)}
       11:{2,5}:{(7,1),(8,1),(14,1),(15,1)}
       12:{1,6}:{(8,1),(15,1),(16,1),(17,1)}
       13:{2,7}:{(8,1),(9,1),(17,1)}
       14:{2,4}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,5}:{(11,1),(12,1),(19,1),(20,1)}
       16:{2,6}:{(12,1),(20,1),(21,1),(22,1)}
       17:{1,7}:{(12,1),(13,1),(22,1)}
       18:{2,3}:{(14,1),(23,1)}
       19:{1,4}:{(14,1),(15,1),(23,1),(24,1)}
       20:{2,5}:{(15,1),(16,1),(24,1),(25,1)}
       21:{3,6}:{(16,1),(25,1),(26,1),(27,1)}
       22:{2,7}:{(16,1),(17,1),(27,1)}
       23:{1,3}:{(18,1),(19,1),(28,1),(29,1)}
       24:{2,4}:{(19,1),(20,1),(28,1),(29,1),(30,1)}
       25:{3,5}:{(20,1),(21,1),(29,1),(30,1),(31,1)}
       26:{4,6}:{(21,1),(30,1),(31,1),(32,1),(34,1)}
       27:{3,7}:{(21,1),(22,1),(32,1)}
       28:{2}:{(23,1)}
       29:{3}:{(24,1)}
       30:{4}:{(25,1)}
       31:{5}:{(26,1)}
       32:{4,7}:{(26,1),(27,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  41 :  0:{5,7}:{(1,1),(2,1),(7,1)}
        1:{4,7}:{(0,1),(3,1),(4,1)}
        2:{6}:{(0,1)}
        3:{3,7}:{(1,1),(5,1),(6,1)}
        4:{4,6}:{(1,1),(2,1),(6,1),(7,1),(14,1)}
        5:{2,7}:{(3,1),(8,1),(9,1)}
        6:{3,6}:{(3,1),(4,1),(9,1),(10,1)}
        7:{5}:{(4,1)}
        8:{1,7}:{(5,1),(11,1),(12,1)}
        9:{2,6}:{(5,1),(6,1),(12,1),(13,1)}
       10:{3,5}:{(6,1),(7,1),(13,1),(14,1),(23,1)}
       11:{2,7}:{(8,1),(15,1),(16,1)}
       12:{1,6}:{(8,1),(9,1),(16,1),(17,1)}
       13:{2,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{4}:{(10,1)}
       15:{3,7}:{(11,1),(19,1),(20,1)}
       16:{2,6}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,5}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,4}:{(13,1),(14,1),(22,1),(23,1),(33,1)}
       19:{4,7}:{(15,1),(24,1),(25,1)}
       20:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       21:{2,5}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,4}:{(17,1),(18,1),(27,1),(28,1),(34,1)}
       23:{3}:{(18,1)}
       24:{5,7}:{(19,1),(29,1),(30,1)}
       25:{4,6}:{(19,1),(20,1),(29,1),(30,1),(31,1)}
       26:{3,5}:{(20,1),(21,1),(30,1),(31,1),(32,1)}
       27:{2,4}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,3}:{(22,1),(23,1),(32,1),(33,1)}
       29:{6}:{(24,1)}
       30:{5}:{(25,1)}
       31:{4}:{(26,1)}
       32:{3}:{(27,1)}
       33:{2}:{(28,1),(34,1)}
       34:{1}:{(33,1)}

  42 :  0:{6,7}:{(1,1)}
        1:{5,7}:{(0,1),(2,1),(3,1)}
        2:{5,6}:{(1,1),(4,1)}
        3:{4,7}:{(1,1),(4,1),(5,1)}
        4:{4,6}:{(2,1),(3,1),(6,1),(7,1)}
        5:{3,7}:{(3,1),(7,1),(8,1)}
        6:{4,5}:{(4,1),(9,1)}
        7:{3,6}:{(4,1),(5,1),(9,1),(10,1)}
        8:{2,7}:{(5,1),(10,1),(11,1)}
        9:{3,5}:{(6,1),(7,1),(12,1),(13,1)}
       10:{2,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{1,7}:{(8,1),(14,1),(15,1)}
       12:{3,4}:{(9,1),(16,1)}
       13:{2,5}:{(9,1),(10,1),(16,1),(17,1)}
       14:{1,6}:{(10,1),(11,1),(17,1),(18,1)}
       15:{2,7}:{(11,1),(18,1),(19,1)}
       16:{2,4}:{(12,1),(13,1),(20,1),(21,1)}
       17:{1,5}:{(13,1),(14,1),(21,1),(22,1)}
       18:{2,6}:{(14,1),(15,1),(22,1),(23,1)}
       19:{3,7}:{(15,1),(23,1),(24,1)}
       20:{2,3}:{(16,1),(25,1)}
       21:{1,4}:{(16,1),(17,1),(25,1),(26,1)}
       22:{2,5}:{(17,1),(18,1),(26,1),(27,1)}
       23:{3,6}:{(18,1),(19,1),(27,1),(28,1)}
       24:{4,7}:{(19,1),(28,1),(29,1)}
       25:{1,3}:{(20,1),(21,1),(30,1),(31,1)}
       26:{2,4}:{(21,1),(22,1),(30,1),(31,1),(32,1)}
       27:{3,5}:{(22,1),(23,1),(31,1),(32,1),(33,1)}
       28:{4,6}:{(23,1),(24,1),(32,1),(33,1),(34,1)}
       29:{5,7}:{(24,1),(33,1),(34,1)}
       30:{2}:{(25,1)}
       31:{3}:{(26,1)}
       32:{4}:{(27,1)}
       33:{5}:{(28,1)}
       34:{6}:{(29,1)}

  43 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(2,1),(3,1)}
        2:{2,3}:{(1,1),(4,1),(5,1)}
        3:{1,4}:{(1,1),(5,1),(6,1)}
        4:{1,3}:{(2,1),(7,1),(8,1)}
        5:{2,4}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,5}:{(3,1),(10,1),(11,1)}
        7:{1,2}:{(4,1)}
        8:{1,4}:{(4,1),(5,1),(12,1)}
        9:{3,4}:{(5,1),(13,1)}
       10:{2,5}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(6,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

  44 :  0:{1,3}:{(1,1),(2,1),(7,1)}
        1:{2}:{(0,1),(3,1)}
        2:{1,4}:{(0,1),(4,1),(5,1),(20,1)}
        3:{1}:{(1,1)}
        4:{2,4}:{(1,1),(2,1),(6,1),(7,1),(8,1),(15,1),(17,1)}
        5:{1,5}:{(2,1),(8,1),(9,1)}
        6:{1,4}:{(3,1),(4,1),(10,1),(11,1)}
        7:{3}:{(4,1)}
        8:{2,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,6}:{(5,1),(13,1),(14,1)}
       10:{1,3}:{(6,1),(7,1),(15,1)}
       11:{1,5}:{(6,1),(8,1),(16,1)}
       12:{3,5}:{(7,1),(8,1),(17,1),(18,1),(24,1)}
       13:{2,6}:{(8,1),(9,1),(16,1),(18,1),(19,1)}
       14:{1,7}:{(9,1),(19,1)}
       15:{2}:{(10,1),(20,1)}
       16:{1,6}:{(11,1),(13,1),(21,1)}
       17:{4}:{(12,1)}
       18:{3,6}:{(12,1),(13,1),(22,1),(23,1)}
       19:{2,7}:{(13,1),(14,1),(21,1),(23,1)}
       20:{1}:{(15,1)}
       21:{1,7}:{(16,1),(19,1)}
       22:{4,6}:{(17,1),(18,1),(24,1),(25,1),(27,1)}
       23:{3,7}:{(18,1),(19,1),(25,1)}
       24:{5}:{(22,1)}
       25:{4,7}:{(22,1),(23,1),(26,1)}
       26:{5,7}:{(24,1),(25,1),(27,1)}
       27:{6}:{(26,1)}

  45 :  0:{2,3}:{(1,1),(2,1)}
        1:{1,3}:{(0,1),(3,1),(4,1),(11,1)}
        2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2}:{(1,1)}
        4:{1,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,4}:{(2,1),(9,1)}
        6:{2,5}:{(2,1),(8,1),(9,1),(10,1)}
        7:{2,4}:{(3,1),(4,1),(11,1),(12,1),(22,1)}
        8:{1,5}:{(4,1),(6,1),(12,1),(13,1)}
        9:{3,5}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,6}:{(6,1),(13,1),(15,1),(16,1)}
       11:{3}:{(7,1)}
       12:{2,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,5}:{(9,1),(20,1)}
       15:{3,6}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,7}:{(10,1),(19,1),(21,1)}
       17:{3,5}:{(11,1),(12,1),(22,1),(23,1),(30,1)}
       18:{2,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,7}:{(13,1),(16,1),(24,1)}
       20:{4,6}:{(14,1),(15,1),(25,1),(26,1)}
       21:{3,7}:{(15,1),(16,1),(26,1)}
       22:{4}:{(17,1)}
       23:{3,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{2,7}:{(18,1),(19,1),(28,1)}
       25:{5,6}:{(20,1),(29,1)}
       26:{4,7}:{(20,1),(21,1),(29,1)}
       27:{4,6}:{(22,1),(23,1),(30,1),(31,1),(34,1)}
       28:{3,7}:{(23,1),(24,1),(31,1)}
       29:{5,7}:{(25,1),(26,1),(32,1)}
       30:{5}:{(27,1)}
       31:{4,7}:{(27,1),(28,1),(33,1)}
       32:{6,7}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

  46 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

  47 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

  48 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  49 :   0:{1,4,5}:{(1,1),(2,1),(3,1),(42,1),(46,1),(78,1)}
         1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(8,1),(25,1),(29,1),(63,1),(65,1),(67,1),(87,1),(98,1)}
         2:{1,3,5}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
         3:{1,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(60,1)}
         4:{1,4,5}:{(1,1),(12,1),(13,1),(20,1),(46,1),(78,1)}
         5:{3,5}:{(1,1),(14,1),(16,1),(76,1)}
         6:{2,4,6}:{(1,1),(3,1),(13,1),(16,1),(17,1),(18,1),(21,1),(43,1),(53,1)}
         7:{1,3,4}:{(2,1),(14,1),(19,1),(46,1),(56,1),(76,1)}
         8:{2,5}:{(2,1),(19,1),(20,1),(21,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(22,1)}
        10:{1,5,6}:{(3,1),(17,1),(23,1),(78,1),(96,1)}
        11:{1,4,7}:{(3,1),(18,1),(22,1),(23,1),(75,1)}
        12:{1,3,5}:{(4,1),(5,1),(24,1),(25,1),(26,1)}
        13:{1,4,6}:{(4,1),(6,1),(26,1),(27,1),(28,1),(38,1)}
        14:{3,4}:{(5,1),(29,1),(98,1)}
        15:{2,3,5}:{(5,1),(8,1),(25,1),(29,1),(31,1),(32,1),(36,1),(58,1),(65,1)}
        16:{3,6}:{(5,1),(6,1),(34,1)}
        17:{2,5,6}:{(6,1),(10,1),(27,1),(33,1),(35,1),(65,1),(87,1),(90,1),(100,1)}
        18:{2,4,7}:{(6,1),(11,1),(28,1),(34,1),(35,1),(39,1),(61,1),(71,1)}
        19:{2,4}:{(7,1),(8,1),(36,1),(37,1),(73,1)}
        20:{1,5}:{(8,1),(37,1),(38,1)}
        21:{2,6}:{(8,1),(9,1),(38,1),(39,1)}
        22:{1,3,7}:{(9,1),(11,1),(34,1),(39,1)}
        23:{1,5,7}:{(10,1),(11,1),(35,1),(40,1)}
        24:{1,3,4}:{(12,1),(14,1),(41,1),(46,1),(74,1),(76,1)}
        25:{2,5}:{(12,1),(41,1),(42,1),(43,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,5,6}:{(13,1),(17,1),(45,1),(78,1),(96,1)}
        28:{1,4,7}:{(13,1),(18,1),(44,1),(45,1),(57,1)}
        29:{2,4}:{(14,1),(15,1),(46,1)}
        30:{3,4,6}:{(14,1),(16,1),(47,1),(48,1),(49,1),(53,1),(82,1)}
        31:{1,3,5}:{(15,1),(20,1),(42,1),(46,1),(50,1),(51,1),(56,1),(74,1),(76,1),(78,1),(93,1)}
        32:{2,3,6}:{(15,1),(16,1),(21,1),(43,1),(47,1),(51,1),(52,1)}
        33:{3,5,6}:{(16,1),(17,1),(48,1),(53,1),(54,1),(82,1),(93,1),(97,1),(102,1),(104,1)}
        34:{3,7}:{(16,1),(18,1)}
        35:{2,5,7}:{(17,1),(18,1),(23,1),(45,1),(54,1),(55,1)}
        36:{2,3}:{(19,1),(56,1),(76,1)}
        37:{1,4}:{(19,1),(20,1),(56,1)}
        38:{1,6}:{(20,1),(21,1),(57,1)}
        39:{2,7}:{(21,1),(22,1),(57,1)}
        40:{1,6,7}:{(23,1),(55,1),(96,1)}
        41:{2,4}:{(24,1),(25,1),(58,1),(59,1),(85,1)}
        42:{1,5}:{(25,1),(59,1),(60,1)}
        43:{2,6}:{(25,1),(26,1),(60,1),(61,1)}
        44:{1,3,7}:{(26,1),(28,1),(34,1),(61,1)}
        45:{1,5,7}:{(27,1),(28,1),(35,1),(62,1)}
        46:{1,4}:{(29,1),(31,1),(63,1),(98,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(64,1),(65,1),(66,1),(90,1)}
        48:{3,5}:{(30,1),(65,1),(67,1)}
        49:{3,4,7}:{(30,1),(34,1),(66,1),(68,1),(71,1)}
        50:{2,5}:{(31,1),(63,1),(69,1),(73,1),(85,1)}
        51:{1,3,6}:{(31,1),(32,1),(38,1),(60,1),(64,1),(69,1),(70,1),(86,1)}
        52:{2,3,7}:{(32,1),(34,1),(39,1),(61,1),(66,1),(70,1)}
        53:{4,6}:{(33,1),(67,1),(71,1),(98,1)}
        54:{3,5,7}:{(33,1),(34,1),(35,1),(71,1),(72,1),(92,1)}
        55:{2,6,7}:{(35,1),(40,1),(62,1),(72,1),(90,1),(100,1)}
        56:{1,3}:{(36,1),(37,1),(73,1)}
        57:{1,7}:{(38,1),(39,1)}
        58:{2,3}:{(41,1),(74,1),(76,1)}
        59:{1,4}:{(41,1),(42,1),(74,1)}
        60:{1,6}:{(42,1),(43,1),(75,1)}
        61:{2,7}:{(43,1),(44,1),(75,1)}
        62:{1,6,7}:{(45,1),(55,1),(96,1)}
        63:{2,4}:{(46,1),(50,1),(76,1)}
        64:{1,4,6}:{(46,1),(47,1),(51,1),(77,1),(78,1),(79,1),(96,1)}
        65:{2,5}:{(47,1),(48,1),(78,1)}
        66:{2,4,7}:{(47,1),(49,1),(52,1),(79,1),(80,1)}
        67:{4,5}:{(48,1),(53,1),(104,1)}
        68:{3,5,7}:{(48,1),(49,1),(80,1),(81,1),(82,1)}
        69:{2,6}:{(50,1),(51,1),(83,1)}
        70:{1,3,7}:{(51,1),(52,1),(57,1),(75,1),(79,1),(83,1),(94,1)}
        71:{4,7}:{(53,1),(54,1)}
        72:{3,6,7}:{(54,1),(55,1),(82,1),(84,1),(102,1)}
        73:{2}:{(56,1)}
        74:{1,3}:{(58,1),(59,1),(85,1)}
        75:{1,7}:{(60,1),(61,1)}
        76:{3}:{(63,1)}
        77:{2,4,6}:{(63,1),(64,1),(69,1),(86,1),(87,1),(88,1),(98,1),(100,1),(103,1)}
        78:{1,5}:{(64,1),(65,1),(87,1)}
        79:{1,4,7}:{(64,1),(66,1),(70,1),(88,1),(89,1)}
        80:{2,5,7}:{(65,1),(66,1),(68,1),(89,1),(90,1)}
        81:{4,5,7}:{(67,1),(68,1),(71,1),(91,1),(92,1)}
        82:{3,6}:{(68,1),(90,1),(91,1)}
        83:{2,7}:{(69,1),(70,1)}
        84:{4,6,7}:{(71,1),(72,1),(91,1),(92,1),(103,1)}
        85:{2}:{(74,1)}
        86:{3,6}:{(76,1),(77,1),(93,1),(94,1)}
        87:{2,5}:{(77,1),(78,1),(93,1),(104,1)}
        88:{2,4,7}:{(77,1),(79,1),(83,1),(94,1),(95,1),(101,1)}
        89:{1,5,7}:{(78,1),(79,1),(80,1),(95,1),(96,1)}
        90:{2,6}:{(80,1),(82,1),(96,1)}
        91:{4,6}:{(81,1),(82,1),(97,1)}
        92:{5,7}:{(84,1),(97,1),(104,1)}
        93:{3,5}:{(86,1),(87,1),(98,1)}
        94:{3,7}:{(86,1),(88,1)}
        95:{2,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1)}
        96:{1,6}:{(89,1),(90,1),(100,1)}
        97:{5,6}:{(91,1),(92,1)}
        98:{4}:{(93,1)}
        99:{3,5,7}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

  50 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(4,1),(22,1),(23,1),(34,1),(48,1)}
        1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(9,1),(24,1),(28,1),(30,1),(33,1),(45,1),(46,1)}
        2:{1,3,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(52,1)}
        3:{1,5}:{(0,1),(7,1)}
        4:{1,4,7}:{(0,1),(8,1),(11,1),(12,1),(44,1)}
        5:{1,4,6}:{(1,1),(13,1),(14,1),(15,1),(19,1),(37,1),(38,1),(41,1)}
        6:{3,6}:{(1,1),(16,1),(17,1),(42,1),(49,1)}
        7:{2,5}:{(1,1),(3,1),(14,1),(16,1),(50,1)}
        8:{2,4,7}:{(1,1),(4,1),(15,1),(17,1),(18,1),(21,1),(36,1),(39,1)}
        9:{2,6}:{(2,1),(19,1),(20,1),(21,1),(54,1)}
       10:{1,3,5}:{(2,1),(3,1),(16,1),(20,1),(22,1),(42,1)}
       11:{1,3,7}:{(2,1),(4,1),(17,1),(21,1)}
       12:{1,5,7}:{(3,1),(4,1),(18,1),(23,1)}
       13:{1,3,6}:{(5,1),(6,1),(24,1),(25,1),(26,1),(47,1)}
       14:{1,5}:{(5,1),(7,1)}
       15:{1,4,7}:{(5,1),(8,1),(26,1),(27,1),(32,1)}
       16:{3,5}:{(6,1),(7,1),(28,1)}
       17:{3,7}:{(6,1),(8,1)}
       18:{2,5,7}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1)}
       19:{1,6}:{(9,1),(31,1),(32,1),(55,1)}
       20:{2,5}:{(9,1),(10,1),(31,1),(33,1)}
       21:{2,7}:{(9,1),(11,1),(32,1)}
       22:{1,4}:{(10,1),(28,1),(33,1),(53,1)}
       23:{1,6}:{(12,1),(30,1)}
       24:{2,6}:{(13,1),(34,1),(35,1),(36,1),(51,1)}
       25:{1,3,5}:{(13,1),(14,1),(16,1),(35,1),(37,1),(49,1)}
       26:{1,3,7}:{(13,1),(15,1),(17,1),(36,1)}
       27:{1,5,7}:{(14,1),(15,1),(18,1),(38,1)}
       28:{4}:{(16,1)}
       29:{3,5,7}:{(16,1),(17,1),(18,1),(39,1),(40,1),(50,1)}
       30:{2,6}:{(18,1),(23,1),(38,1),(40,1)}
       31:{1,5}:{(19,1),(20,1),(41,1)}
       32:{1,7}:{(19,1),(21,1)}
       33:{2,4}:{(20,1),(22,1),(41,1),(42,1),(51,1)}
       34:{1,6}:{(24,1),(43,1),(44,1),(53,1)}
       35:{2,5}:{(24,1),(25,1),(43,1),(45,1)}
       36:{2,7}:{(24,1),(26,1),(44,1)}
       37:{1,4}:{(25,1),(28,1),(45,1),(55,1)}
       38:{1,6}:{(27,1),(30,1)}
       39:{4,7}:{(28,1),(29,1),(46,1)}
       40:{3,6}:{(29,1),(30,1),(46,1)}
       41:{1,4}:{(31,1),(33,1),(47,1)}
       42:{3}:{(33,1)}
       43:{1,5}:{(34,1),(35,1),(48,1)}
       44:{1,7}:{(34,1),(36,1)}
       45:{2,4}:{(35,1),(37,1),(48,1),(49,1),(54,1)}
       46:{4,6}:{(39,1),(40,1),(50,1)}
       47:{1,3}:{(41,1),(42,1),(51,1)}
       48:{1,4}:{(43,1),(45,1),(52,1)}
       49:{3}:{(45,1)}
       50:{5}:{(46,1)}
       51:{2}:{(47,1),(53,1)}
       52:{1,3}:{(48,1),(49,1),(54,1)}
       53:{1}:{(51,1)}
       54:{2}:{(52,1),(55,1)}
       55:{1}:{(54,1)}

  51 :   0:{1,5,6}:{(1,1),(2,1),(3,1),(72,1),(94,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(57,1),(84,1),(86,1),(100,1)}
         2:{1,4,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(55,1)}
         3:{1,5,7}:{(0,1),(7,1),(10,1),(11,1)}
         4:{1,5,6}:{(1,1),(12,1),(13,1),(72,1),(94,1)}
         5:{3,5,6}:{(1,1),(14,1),(15,1),(17,1),(41,1),(74,1),(75,1),(92,1),(102,1),(104,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(16,1),(17,1),(18,1),(21,1),(39,1)}
         7:{2,5,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(19,1)}
         8:{1,4,5}:{(2,1),(16,1),(20,1),(70,1),(72,1),(78,1)}
         9:{1,3,6}:{(2,1),(17,1),(20,1),(21,1),(22,1)}
        10:{1,4,7}:{(2,1),(3,1),(18,1),(22,1),(71,1)}
        11:{1,6,7}:{(3,1),(19,1),(94,1)}
        12:{1,4,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(36,1)}
        13:{1,5,7}:{(4,1),(7,1),(25,1),(26,1)}
        14:{4,6}:{(5,1),(27,1),(29,1),(98,1)}
        15:{3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(62,1)}
        16:{2,4,5}:{(6,1),(8,1),(23,1),(27,1),(31,1),(35,1),(54,1),(57,1),(63,1),(84,1),(89,1),(98,1)}
        17:{3,6}:{(6,1),(31,1),(33,1)}
        18:{2,4,7}:{(6,1),(7,1),(10,1),(25,1),(29,1),(33,1),(37,1),(56,1)}
        19:{2,6,7}:{(7,1),(11,1),(26,1),(30,1),(86,1),(100,1)}
        20:{1,3,5}:{(8,1),(9,1),(31,1),(34,1),(35,1)}
        21:{2,6}:{(9,1),(35,1),(36,1),(37,1)}
        22:{1,3,7}:{(9,1),(10,1),(33,1),(37,1)}
        23:{1,4,5}:{(12,1),(16,1),(38,1),(51,1),(72,1),(78,1)}
        24:{1,3,6}:{(12,1),(17,1),(38,1),(39,1),(40,1)}
        25:{1,4,7}:{(12,1),(13,1),(18,1),(40,1),(52,1)}
        26:{1,6,7}:{(13,1),(19,1),(94,1)}
        27:{4,5}:{(14,1),(41,1),(104,1)}
        28:{3,4,6}:{(14,1),(17,1),(41,1),(43,1),(44,1),(46,1),(74,1)}
        29:{4,7}:{(14,1),(15,1)}
        30:{3,6,7}:{(15,1),(19,1),(45,1),(74,1),(102,1)}
        31:{3,5}:{(16,1),(17,1),(46,1),(96,1)}
        32:{2,3,6}:{(17,1),(21,1),(39,1),(43,1),(47,1),(48,1),(49,1)}
        33:{3,7}:{(17,1),(18,1)}
        34:{1,3,4}:{(20,1),(46,1),(50,1),(78,1),(81,1),(96,1)}
        35:{2,5}:{(20,1),(21,1),(50,1),(51,1)}
        36:{1,6}:{(21,1),(51,1),(52,1)}
        37:{2,7}:{(21,1),(22,1),(52,1)}
        38:{1,3,5}:{(23,1),(24,1),(31,1),(53,1),(54,1)}
        39:{2,6}:{(24,1),(54,1),(55,1),(56,1)}
        40:{1,3,7}:{(24,1),(25,1),(33,1),(56,1)}
        41:{3,5}:{(27,1),(28,1),(57,1)}
        42:{4,5,7}:{(27,1),(29,1),(58,1),(59,1),(62,1)}
        43:{2,4,6}:{(28,1),(32,1),(57,1),(60,1),(61,1),(63,1),(86,1)}
        44:{3,4,7}:{(28,1),(29,1),(33,1),(58,1),(61,1)}
        45:{4,6,7}:{(29,1),(30,1),(59,1),(62,1),(103,1)}
        46:{3,4}:{(31,1),(63,1),(98,1)}
        47:{2,3,5}:{(31,1),(32,1),(35,1),(54,1),(57,1),(63,1),(64,1),(67,1),(82,1)}
        48:{1,3,6}:{(32,1),(36,1),(55,1),(60,1),(64,1),(65,1),(66,1),(87,1)}
        49:{2,3,7}:{(32,1),(33,1),(37,1),(56,1),(61,1),(66,1)}
        50:{2,4}:{(34,1),(35,1),(67,1),(68,1),(90,1)}
        51:{1,5}:{(35,1),(36,1),(68,1)}
        52:{1,7}:{(36,1),(37,1)}
        53:{1,3,4}:{(38,1),(46,1),(69,1),(78,1),(91,1),(96,1)}
        54:{2,5}:{(38,1),(39,1),(69,1),(70,1)}
        55:{1,6}:{(39,1),(70,1),(71,1)}
        56:{2,7}:{(39,1),(40,1),(71,1)}
        57:{2,5}:{(41,1),(43,1),(72,1)}
        58:{3,5,7}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{4,6}:{(42,1),(74,1),(75,1)}
        60:{1,4,6}:{(43,1),(48,1),(72,1),(76,1),(77,1),(78,1),(94,1)}
        61:{2,4,7}:{(43,1),(44,1),(49,1),(73,1),(77,1)}
        62:{5,7}:{(45,1),(75,1),(104,1)}
        63:{2,4}:{(46,1),(47,1),(78,1)}
        64:{1,3,5}:{(47,1),(48,1),(51,1),(70,1),(72,1),(78,1),(79,1),(81,1),(91,1),(92,1),(96,1)}
        65:{2,6}:{(48,1),(79,1),(80,1)}
        66:{1,3,7}:{(48,1),(49,1),(52,1),(71,1),(77,1),(80,1),(95,1)}
        67:{2,3}:{(50,1),(81,1),(96,1)}
        68:{1,4}:{(50,1),(51,1),(81,1)}
        69:{2,4}:{(53,1),(54,1),(82,1),(83,1),(97,1)}
        70:{1,5}:{(54,1),(55,1),(83,1)}
        71:{1,7}:{(55,1),(56,1)}
        72:{1,5}:{(57,1),(60,1),(84,1)}
        73:{2,5,7}:{(57,1),(58,1),(61,1),(85,1),(86,1)}
        74:{3,6}:{(58,1),(59,1),(86,1)}
        75:{5,6}:{(59,1),(62,1)}
        76:{2,4,6}:{(60,1),(65,1),(84,1),(87,1),(88,1),(89,1),(98,1),(100,1),(103,1)}
        77:{1,4,7}:{(60,1),(61,1),(66,1),(85,1),(88,1)}
        78:{1,4}:{(63,1),(64,1),(89,1),(98,1)}
        79:{2,5}:{(64,1),(65,1),(89,1),(90,1),(97,1)}
        80:{2,7}:{(65,1),(66,1)}
        81:{1,3}:{(67,1),(68,1),(90,1)}
        82:{2,3}:{(69,1),(91,1),(96,1)}
        83:{1,4}:{(69,1),(70,1),(91,1)}
        84:{2,5}:{(72,1),(76,1),(92,1),(104,1)}
        85:{1,5,7}:{(72,1),(73,1),(77,1),(93,1),(94,1)}
        86:{2,6}:{(73,1),(74,1),(94,1)}
        87:{3,6}:{(76,1),(92,1),(95,1),(96,1)}
        88:{2,4,7}:{(76,1),(77,1),(80,1),(93,1),(95,1),(101,1)}
        89:{2,4}:{(78,1),(79,1),(96,1)}
        90:{2}:{(81,1)}
        91:{1,3}:{(82,1),(83,1),(97,1)}
        92:{3,5}:{(84,1),(87,1),(98,1)}
        93:{2,5,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        94:{1,6}:{(85,1),(86,1),(100,1)}
        95:{3,7}:{(87,1),(88,1)}
        96:{3}:{(89,1)}
        97:{2}:{(91,1)}
        98:{4}:{(92,1)}
        99:{3,5,7}:{(92,1),(93,1),(95,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(93,1),(94,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

  52 :  0:{1,5,7}:{(1,1),(2,1),(3,1),(18,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1)}
        2:{1,4,7}:{(0,1),(6,1),(8,1),(9,1),(35,1)}
        3:{1,6}:{(0,1),(7,1)}
        4:{1,5,7}:{(1,1),(10,1),(11,1),(29,1)}
        5:{3,5,7}:{(1,1),(12,1),(13,1),(14,1),(30,1),(31,1)}
        6:{2,4,7}:{(1,1),(2,1),(10,1),(12,1),(14,1),(15,1),(16,1),(27,1)}
        7:{2,6}:{(1,1),(3,1),(11,1),(13,1)}
        8:{1,3,7}:{(2,1),(14,1),(16,1),(17,1)}
        9:{1,4,6}:{(2,1),(3,1),(15,1),(17,1),(18,1),(34,1),(41,1),(49,1)}
       10:{1,4,7}:{(4,1),(6,1),(19,1),(20,1),(24,1)}
       11:{1,6}:{(4,1),(7,1)}
       12:{4,7}:{(5,1),(21,1),(38,1)}
       13:{3,6}:{(5,1),(7,1),(21,1)}
       14:{3,7}:{(6,1),(22,1)}
       15:{2,4,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(22,1),(23,1),(25,1),(36,1),(38,1),(40,1),(47,1)}
       16:{2,7}:{(8,1),(24,1),(25,1)}
       17:{1,3,6}:{(8,1),(9,1),(22,1),(25,1),(26,1),(52,1)}
       18:{1,5}:{(9,1),(23,1)}
       19:{1,3,7}:{(10,1),(14,1),(27,1),(28,1)}
       20:{1,4,6}:{(10,1),(11,1),(15,1),(28,1),(29,1),(32,1),(43,1),(44,1)}
       21:{4,6}:{(12,1),(13,1),(30,1)}
       22:{3,6}:{(14,1),(15,1),(31,1),(45,1),(50,1)}
       23:{2,5}:{(15,1),(18,1),(29,1),(30,1),(31,1)}
       24:{1,7}:{(16,1),(32,1)}
       25:{2,6}:{(16,1),(17,1),(32,1),(33,1),(54,1)}
       26:{1,3,5}:{(17,1),(18,1),(31,1),(33,1),(34,1),(45,1)}
       27:{2,7}:{(19,1),(35,1),(36,1)}
       28:{1,3,6}:{(19,1),(20,1),(22,1),(36,1),(37,1),(48,1)}
       29:{1,5}:{(20,1),(23,1)}
       30:{5}:{(21,1)}
       31:{3,5}:{(22,1),(23,1),(38,1)}
       32:{1,6}:{(24,1),(25,1),(39,1),(55,1)}
       33:{2,5}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,4}:{(26,1),(38,1),(40,1),(53,1)}
       35:{1,7}:{(27,1),(41,1)}
       36:{2,6}:{(27,1),(28,1),(41,1),(42,1),(51,1)}
       37:{1,3,5}:{(28,1),(29,1),(31,1),(42,1),(43,1),(50,1)}
       38:{4}:{(31,1)}
       39:{1,5}:{(32,1),(33,1),(44,1)}
       40:{2,4}:{(33,1),(34,1),(44,1),(45,1),(51,1)}
       41:{1,6}:{(35,1),(36,1),(46,1),(53,1)}
       42:{2,5}:{(36,1),(37,1),(46,1),(47,1)}
       43:{1,4}:{(37,1),(38,1),(47,1),(55,1)}
       44:{1,4}:{(39,1),(40,1),(48,1)}
       45:{3}:{(40,1)}
       46:{1,5}:{(41,1),(42,1),(49,1)}
       47:{2,4}:{(42,1),(43,1),(49,1),(50,1),(54,1)}
       48:{1,3}:{(44,1),(45,1),(51,1)}
       49:{1,4}:{(46,1),(47,1),(52,1)}
       50:{3}:{(47,1)}
       51:{2}:{(48,1),(53,1)}
       52:{1,3}:{(49,1),(50,1),(54,1)}
       53:{1}:{(51,1)}
       54:{2}:{(52,1),(55,1)}
       55:{1}:{(54,1)}

  53 :   0:{1,6,7}:{(1,1),(2,1),(80,1)}
         1:{2,6,7}:{(0,1),(3,1),(4,1),(5,1),(68,1),(90,1)}
         2:{1,5,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{1,6,7}:{(1,1),(8,1),(80,1)}
         4:{3,6,7}:{(1,1),(9,1),(10,1),(54,1),(97,1)}
         5:{2,5,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(12,1)}
         6:{1,5,6}:{(2,1),(11,1),(13,1),(80,1),(82,1)}
         7:{1,4,7}:{(2,1),(12,1),(13,1),(14,1),(53,1)}
         8:{1,5,7}:{(3,1),(5,1),(15,1),(16,1)}
         9:{4,6,7}:{(4,1),(17,1),(19,1),(40,1),(102,1)}
        10:{3,5,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(21,1)}
        11:{2,5,6}:{(5,1),(6,1),(15,1),(18,1),(20,1),(68,1),(70,1),(90,1),(92,1)}
        12:{2,4,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(21,1),(24,1),(39,1)}
        13:{1,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(67,1)}
        14:{1,3,7}:{(7,1),(21,1),(23,1),(24,1)}
        15:{1,5,6}:{(8,1),(11,1),(25,1),(80,1),(82,1)}
        16:{1,4,7}:{(8,1),(12,1),(25,1),(26,1),(36,1)}
        17:{5,7}:{(9,1),(27,1),(104,1)}
        18:{3,5,6}:{(10,1),(11,1),(27,1),(29,1),(32,1),(54,1),(56,1),(97,1),(99,1),(104,1)}
        19:{4,7}:{(10,1),(29,1)}
        20:{2,4,6}:{(11,1),(12,1),(13,1),(25,1),(29,1),(31,1),(32,1),(35,1),(52,1)}
        21:{3,7}:{(12,1),(32,1)}
        22:{1,4,5}:{(13,1),(31,1),(34,1),(79,1),(82,1),(85,1)}
        23:{1,3,6}:{(13,1),(14,1),(32,1),(34,1),(35,1)}
        24:{2,7}:{(14,1),(35,1),(36,1)}
        25:{1,4,6}:{(15,1),(16,1),(20,1),(37,1),(38,1),(50,1)}
        26:{1,3,7}:{(16,1),(21,1),(38,1),(39,1)}
        27:{5,6}:{(17,1),(40,1)}
        28:{4,5,7}:{(17,1),(19,1),(40,1),(41,1),(42,1)}
        29:{4,6}:{(18,1),(19,1),(42,1),(103,1)}
        30:{3,4,7}:{(19,1),(21,1),(41,1),(43,1),(44,1)}
        31:{2,4,5}:{(20,1),(22,1),(37,1),(42,1),(45,1),(49,1),(66,1),(70,1),(73,1),(92,1),(94,1),(103,1)}
        32:{3,6}:{(20,1),(21,1),(45,1)}
        33:{2,3,7}:{(21,1),(24,1),(39,1),(44,1),(46,1),(47,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,6}:{(23,1),(24,1),(49,1),(50,1)}
        36:{1,7}:{(24,1),(50,1)}
        37:{1,4,5}:{(25,1),(31,1),(51,1),(64,1),(82,1),(85,1)}
        38:{1,3,6}:{(25,1),(26,1),(32,1),(51,1),(52,1)}
        39:{2,7}:{(26,1),(52,1),(53,1)}
        40:{4,6}:{(27,1),(28,1),(54,1)}
        41:{3,5,7}:{(28,1),(30,1),(54,1),(55,1),(56,1)}
        42:{4,5}:{(29,1),(56,1),(104,1)}
        43:{3,4,6}:{(29,1),(30,1),(32,1),(54,1),(56,1),(57,1),(59,1)}
        44:{2,4,7}:{(30,1),(33,1),(55,1),(57,1),(58,1)}
        45:{3,5}:{(31,1),(32,1),(59,1),(100,1)}
        46:{2,3,6}:{(32,1),(33,1),(35,1),(52,1),(57,1),(60,1),(61,1)}
        47:{1,3,7}:{(33,1),(36,1),(53,1),(58,1),(61,1),(62,1),(84,1)}
        48:{1,3,4}:{(34,1),(59,1),(63,1),(85,1),(87,1),(100,1)}
        49:{2,5}:{(34,1),(35,1),(63,1),(64,1)}
        50:{1,6}:{(35,1),(36,1),(64,1)}
        51:{1,3,5}:{(37,1),(38,1),(45,1),(65,1),(66,1)}
        52:{2,6}:{(38,1),(39,1),(66,1),(67,1)}
        53:{1,7}:{(39,1),(67,1)}
        54:{3,6}:{(40,1),(41,1),(68,1)}
        55:{2,5,7}:{(41,1),(44,1),(68,1),(69,1),(70,1)}
        56:{3,5}:{(42,1),(43,1),(70,1)}
        57:{2,4,6}:{(43,1),(44,1),(46,1),(68,1),(70,1),(71,1),(73,1)}
        58:{1,4,7}:{(44,1),(47,1),(69,1),(71,1),(72,1)}
        59:{3,4}:{(45,1),(73,1),(103,1)}
        60:{2,3,5}:{(45,1),(46,1),(49,1),(66,1),(70,1),(73,1),(74,1),(76,1),(88,1)}
        61:{1,3,6}:{(46,1),(47,1),(50,1),(67,1),(71,1),(74,1),(75,1),(93,1)}
        62:{2,7}:{(47,1),(75,1)}
        63:{2,4}:{(48,1),(49,1),(76,1),(77,1),(95,1)}
        64:{1,5}:{(49,1),(50,1),(77,1)}
        65:{1,3,4}:{(51,1),(59,1),(78,1),(85,1),(96,1),(100,1)}
        66:{2,5}:{(51,1),(52,1),(78,1),(79,1)}
        67:{1,6}:{(52,1),(53,1),(79,1)}
        68:{2,6}:{(54,1),(55,1),(80,1)}
        69:{1,5,7}:{(55,1),(58,1),(80,1),(81,1),(82,1)}
        70:{2,5}:{(56,1),(57,1),(82,1)}
        71:{1,4,6}:{(57,1),(58,1),(61,1),(80,1),(82,1),(83,1),(85,1)}
        72:{2,4,7}:{(58,1),(62,1),(81,1),(83,1),(84,1),(98,1)}
        73:{2,4}:{(59,1),(60,1),(85,1)}
        74:{1,3,5}:{(60,1),(61,1),(64,1),(79,1),(82,1),(85,1),(86,1),(87,1),(96,1),(99,1),(100,1)}
        75:{2,6}:{(61,1),(62,1),(86,1)}
        76:{2,3}:{(63,1),(87,1),(100,1)}
        77:{1,4}:{(63,1),(64,1),(87,1)}
        78:{2,4}:{(65,1),(66,1),(88,1),(89,1),(101,1)}
        79:{1,5}:{(66,1),(67,1),(89,1)}
        80:{1,6}:{(68,1),(69,1),(90,1)}
        81:{2,5,7}:{(69,1),(72,1),(90,1),(91,1),(92,1)}
        82:{1,5}:{(70,1),(71,1),(92,1)}
        83:{2,4,6}:{(71,1),(72,1),(75,1),(90,1),(92,1),(93,1),(94,1),(102,1),(103,1)}
        84:{3,7}:{(72,1),(93,1)}
        85:{1,4}:{(73,1),(74,1),(94,1),(103,1)}
        86:{2,5}:{(74,1),(75,1),(94,1),(95,1),(101,1)}
        87:{1,3}:{(76,1),(77,1),(95,1)}
        88:{2,3}:{(78,1),(96,1),(100,1)}
        89:{1,4}:{(78,1),(79,1),(96,1)}
        90:{2,6}:{(80,1),(81,1),(97,1)}
        91:{3,5,7}:{(81,1),(84,1),(97,1),(98,1),(99,1),(104,1)}
        92:{2,5}:{(82,1),(83,1),(99,1),(104,1)}
        93:{3,6}:{(83,1),(84,1),(99,1),(100,1)}
        94:{2,4}:{(85,1),(86,1),(100,1)}
        95:{2}:{(87,1)}
        96:{1,3}:{(88,1),(89,1),(101,1)}
        97:{3,6}:{(90,1),(91,1),(102,1)}
        98:{4,7}:{(91,1),(102,1),(103,1)}
        99:{3,5}:{(92,1),(93,1),(103,1)}
       100:{3}:{(94,1)}
       101:{2}:{(96,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{4}:{(99,1)}
       104:{5}:{(102,1)}

  54 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  55 :  0:{1,3,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(53,1)}
        1:{2,6}:{(0,1),(5,1),(7,1),(8,1),(54,1)}
        2:{1,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(28,1),(37,1),(50,1)}
        3:{1,3,5}:{(0,1),(7,1),(9,1),(11,1),(24,1),(27,1)}
        4:{1,3,7}:{(0,1),(8,1),(10,1),(25,1)}
        5:{1,6}:{(1,1),(13,1),(14,1),(55,1)}
        6:{2,4,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(18,1),(29,1),(34,1),(36,1),(47,1),(49,1)}
        7:{2,5}:{(1,1),(3,1),(13,1),(18,1)}
        8:{2,7}:{(1,1),(4,1),(14,1)}
        9:{1,5}:{(2,1),(16,1)}
       10:{1,4,7}:{(2,1),(4,1),(17,1),(19,1),(46,1)}
       11:{1,4}:{(3,1),(18,1),(34,1),(48,1)}
       12:{1,4,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(23,1),(40,1),(41,1)}
       13:{1,5}:{(5,1),(7,1),(23,1)}
       14:{1,7}:{(5,1),(8,1)}
       15:{3,6}:{(6,1),(24,1),(25,1),(27,1),(51,1)}
       16:{2,5}:{(6,1),(9,1),(21,1),(24,1),(52,1)}
       17:{2,4,7}:{(6,1),(8,1),(10,1),(22,1),(25,1),(26,1),(39,1),(43,1)}
       18:{2,4}:{(7,1),(11,1),(23,1),(27,1),(42,1)}
       19:{1,5,7}:{(9,1),(10,1),(26,1),(28,1)}
       20:{1,3,6}:{(12,1),(15,1),(29,1),(30,1),(31,1),(33,1)}
       21:{1,5}:{(12,1),(16,1)}
       22:{1,4,7}:{(12,1),(14,1),(17,1),(31,1),(32,1)}
       23:{1,4}:{(13,1),(18,1),(33,1)}
       24:{3,5}:{(15,1),(16,1),(34,1)}
       25:{3,7}:{(15,1),(17,1)}
       26:{2,5,7}:{(16,1),(17,1),(19,1),(32,1),(35,1),(36,1)}
       27:{3}:{(18,1)}
       28:{1,6}:{(19,1),(36,1)}
       29:{2,6}:{(20,1),(37,1),(38,1),(39,1),(42,1)}
       30:{1,3,5}:{(20,1),(21,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,3,7}:{(20,1),(22,1),(25,1),(39,1)}
       32:{1,5,7}:{(21,1),(22,1),(26,1),(41,1)}
       33:{1,3}:{(23,1),(27,1),(42,1)}
       34:{4}:{(24,1)}
       35:{3,5,7}:{(24,1),(25,1),(26,1),(43,1),(44,1),(52,1)}
       36:{2,6}:{(26,1),(28,1),(41,1),(44,1)}
       37:{1,6}:{(29,1),(45,1),(46,1),(48,1)}
       38:{2,5}:{(29,1),(30,1),(45,1),(47,1)}
       39:{2,7}:{(29,1),(31,1),(46,1)}
       40:{1,4}:{(30,1),(34,1),(47,1),(55,1)}
       41:{1,6}:{(32,1),(36,1)}
       42:{2}:{(33,1),(48,1)}
       43:{4,7}:{(34,1),(35,1),(49,1)}
       44:{3,6}:{(35,1),(36,1),(49,1)}
       45:{1,5}:{(37,1),(38,1),(50,1)}
       46:{1,7}:{(37,1),(39,1)}
       47:{2,4}:{(38,1),(40,1),(50,1),(51,1),(54,1)}
       48:{1}:{(42,1)}
       49:{4,6}:{(43,1),(44,1),(52,1)}
       50:{1,4}:{(45,1),(47,1),(53,1)}
       51:{3}:{(47,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  56 :  0:{1,3,7}:{(1,1),(2,1),(3,1),(12,1)}
        1:{2,7}:{(0,1),(4,1),(6,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(8,1),(37,1)}
        3:{1,3,6}:{(0,1),(6,1),(8,1),(9,1),(24,1),(53,1)}
        4:{1,7}:{(1,1),(11,1)}
        5:{2,4,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(28,1),(33,1)}
        6:{2,6}:{(1,1),(3,1),(11,1),(15,1),(54,1)}
        7:{1,5,7}:{(2,1),(13,1),(16,1),(17,1)}
        8:{1,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(18,1),(43,1),(51,1)}
        9:{1,3,5}:{(3,1),(15,1),(17,1),(18,1),(35,1),(36,1)}
       10:{1,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1)}
       11:{1,6}:{(4,1),(6,1),(22,1),(55,1)}
       12:{3,7}:{(5,1),(24,1)}
       13:{2,5,7}:{(5,1),(7,1),(20,1),(23,1),(25,1),(26,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(27,1),(38,1),(41,1),(42,1),(49,1)}
       15:{2,5}:{(6,1),(9,1),(22,1),(27,1)}
       16:{1,6}:{(7,1),(25,1)}
       17:{1,5}:{(8,1),(26,1)}
       18:{1,4}:{(9,1),(27,1),(42,1),(50,1)}
       19:{1,3,7}:{(10,1),(12,1),(28,1),(29,1)}
       20:{1,5,7}:{(10,1),(13,1),(30,1),(31,1)}
       21:{1,4,6}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(45,1)}
       22:{1,5}:{(11,1),(15,1),(32,1)}
       23:{3,5,7}:{(12,1),(13,1),(33,1),(34,1),(35,1),(47,1)}
       24:{3,6}:{(12,1),(14,1),(35,1),(36,1),(52,1)}
       25:{2,6}:{(13,1),(16,1),(30,1),(34,1)}
       26:{2,5}:{(14,1),(17,1),(31,1),(35,1),(47,1)}
       27:{2,4}:{(15,1),(18,1),(32,1),(36,1),(46,1)}
       28:{2,7}:{(19,1),(37,1),(38,1)}
       29:{1,3,6}:{(19,1),(21,1),(24,1),(38,1),(39,1),(40,1)}
       30:{1,6}:{(20,1),(25,1)}
       31:{1,5}:{(21,1),(26,1)}
       32:{1,4}:{(22,1),(27,1),(40,1)}
       33:{4,7}:{(23,1),(41,1),(42,1)}
       34:{3,6}:{(23,1),(25,1),(41,1)}
       35:{3,5}:{(24,1),(26,1),(42,1)}
       36:{3}:{(27,1)}
       37:{1,7}:{(28,1),(43,1)}
       38:{2,6}:{(28,1),(29,1),(43,1),(44,1),(46,1)}
       39:{1,3,5}:{(29,1),(31,1),(35,1),(44,1),(45,1),(52,1)}
       40:{1,3}:{(32,1),(36,1),(46,1)}
       41:{4,6}:{(33,1),(34,1),(47,1)}
       42:{4}:{(35,1)}
       43:{1,6}:{(37,1),(38,1),(48,1),(50,1)}
       44:{2,5}:{(38,1),(39,1),(48,1),(49,1)}
       45:{1,4}:{(39,1),(42,1),(49,1),(55,1)}
       46:{2}:{(40,1),(50,1)}
       47:{5}:{(41,1)}
       48:{1,5}:{(43,1),(44,1),(51,1)}
       49:{2,4}:{(44,1),(45,1),(51,1),(52,1),(54,1)}
       50:{1}:{(46,1)}
       51:{1,4}:{(48,1),(49,1),(53,1)}
       52:{3}:{(49,1)}
       53:{1,3}:{(51,1),(52,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  57 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(17,1),(20,1),(39,1),(43,1)}
         1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(23,1),(29,1),(60,1),(61,1),(64,1)}
         2:{2,4}:{(0,1),(5,1),(8,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(31,1),(65,1)}
         4:{2,5}:{(1,1),(11,1),(12,1),(81,1)}
         5:{1,4}:{(1,1),(2,1),(11,1),(82,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(40,1),(85,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(20,1),(43,1),(52,1),(106,1),(129,1),(140,1)}
         8:{3,4}:{(2,1),(17,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(15,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(16,1),(21,1),(50,1),(86,1)}
        11:{2,4}:{(4,1),(5,1),(23,1)}
        12:{2,6}:{(4,1),(6,1),(25,1)}
        13:{1,4,5}:{(5,1),(7,1),(22,1),(26,1),(27,1),(29,1),(64,1),(91,1),(120,1)}
        14:{1,3,4}:{(5,1),(8,1),(23,1),(26,1),(28,1),(55,1),(60,1),(91,1),(118,1)}
        15:{1,4,6}:{(5,1),(6,1),(9,1),(24,1),(29,1),(30,1),(68,1)}
        16:{1,3,7}:{(6,1),(10,1),(25,1),(30,1),(62,1),(103,1)}
        17:{3,5}:{(7,1),(8,1),(31,1),(118,1)}
        18:{2,4,6}:{(7,1),(27,1),(31,1),(32,1),(33,1),(65,1),(69,1)}
        19:{3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(69,1),(73,1)}
        20:{2,5}:{(9,1),(29,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(13,1),(37,1),(38,1),(41,1),(43,1),(74,1),(82,1),(108,1),(110,1)}
        23:{3}:{(11,1)}
        24:{2,4,6}:{(11,1),(12,1),(15,1),(40,1),(41,1),(42,1),(82,1),(84,1),(116,1)}
        25:{2,7}:{(12,1),(16,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(37,1),(43,1),(44,1)}
        27:{1,4,6}:{(13,1),(18,1),(38,1),(44,1),(45,1),(46,1),(85,1)}
        28:{2,4}:{(14,1),(39,1),(43,1),(47,1),(81,1)}
        29:{1,5}:{(15,1),(20,1),(41,1)}
        30:{1,4,7}:{(15,1),(16,1),(21,1),(42,1),(48,1)}
        31:{3,6}:{(17,1),(18,1),(50,1)}
        32:{2,5,6}:{(18,1),(20,1),(45,1),(49,1),(51,1),(54,1),(129,1),(142,1)}
        33:{2,4,7}:{(18,1),(46,1),(50,1),(51,1),(86,1),(88,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(50,1),(53,1),(88,1)}
        36:{2,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(23,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(27,1),(57,1),(58,1),(59,1),(65,1),(98,1)}
        39:{2,3}:{(23,1),(28,1),(60,1),(118,1)}
        40:{3,6}:{(23,1),(24,1),(61,1),(62,1)}
        41:{2,5}:{(24,1),(29,1),(61,1),(127,1)}
        42:{2,4,7}:{(24,1),(25,1),(30,1),(62,1),(63,1),(101,1)}
        43:{2,5}:{(26,1),(28,1),(64,1),(65,1)}
        44:{1,3,6}:{(26,1),(27,1),(31,1),(57,1),(65,1),(66,1)}
        45:{1,5,6}:{(27,1),(29,1),(32,1),(58,1),(67,1),(68,1),(120,1),(138,1)}
        46:{1,4,7}:{(27,1),(33,1),(59,1),(66,1),(67,1),(103,1)}
        47:{1,4}:{(28,1),(60,1),(64,1)}
        48:{1,5,7}:{(29,1),(30,1),(36,1),(63,1),(68,1)}
        49:{3,5,6}:{(31,1),(32,1),(34,1),(69,1),(70,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        50:{3,7}:{(31,1),(33,1)}
        51:{2,5,7}:{(32,1),(33,1),(67,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(69,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(68,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(82,1)}
        56:{2,3,5}:{(37,1),(39,1),(43,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(45,1),(78,1),(80,1),(84,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(46,1),(79,1),(80,1),(86,1),(114,1)}
        60:{1,3}:{(39,1),(47,1),(81,1)}
        61:{3,5}:{(40,1),(41,1),(82,1)}
        62:{3,7}:{(40,1),(42,1)}
        63:{2,5,7}:{(41,1),(42,1),(48,1),(83,1),(84,1)}
        64:{1,5}:{(43,1),(47,1),(85,1)}
        65:{2,6}:{(43,1),(44,1),(85,1),(86,1)}
        66:{1,3,7}:{(44,1),(46,1),(50,1),(79,1),(86,1)}
        67:{1,5,7}:{(45,1),(46,1),(51,1),(80,1),(87,1)}
        68:{1,6}:{(48,1),(54,1),(84,1)}
        69:{4,6}:{(49,1),(52,1),(88,1),(140,1)}
        70:{3,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1),(117,1)}
        71:{2,6,7}:{(51,1),(54,1),(87,1),(89,1),(142,1)}
        72:{4,5,7}:{(52,1),(53,1),(88,1),(90,1),(117,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(64,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(65,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(61,1),(93,1),(98,1),(99,1),(102,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(67,1),(99,1),(100,1)}
        81:{2}:{(60,1)}
        82:{4}:{(61,1)}
        83:{3,5,7}:{(61,1),(62,1),(63,1),(101,1),(102,1),(127,1)}
        84:{2,6}:{(63,1),(68,1),(102,1)}
        85:{1,6}:{(64,1),(65,1),(103,1)}
        86:{2,7}:{(65,1),(66,1),(103,1)}
        87:{1,6,7}:{(67,1),(68,1),(71,1),(100,1),(138,1)}
        88:{4,7}:{(69,1),(70,1)}
        89:{3,6,7}:{(70,1),(71,1),(73,1),(104,1),(144,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(81,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(85,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(86,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(82,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(84,1),(87,1),(115,1),(132,1)}
       101:{4,7}:{(82,1),(83,1),(116,1)}
       102:{3,6}:{(83,1),(84,1),(116,1)}
       103:{1,7}:{(85,1),(86,1)}
       104:{4,6,7}:{(88,1),(89,1),(90,1),(117,1),(145,1)}
       105:{5,6}:{(90,1),(117,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(103,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(102,1),(124,1),(126,1)}
       116:{4,6}:{(101,1),(102,1),(127,1)}
       117:{5,7}:{(104,1),(105,1),(146,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(116,1),(133,1),(134,1)}
       127:{5}:{(116,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  58 :   0:{2,3,6}:{(1,1),(2,1),(3,1),(4,1),(55,1),(85,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(100,1)}
         2:{2,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(12,1),(39,1)}
         3:{2,3,5}:{(0,1),(7,1),(10,1),(12,1),(38,1),(65,1),(69,1)}
         4:{2,3,7}:{(0,1),(8,1),(11,1),(74,1),(101,1)}
         5:{2,6}:{(1,1),(14,1),(15,1)}
         6:{1,4,6}:{(1,1),(2,1),(13,1),(16,1),(17,1),(18,1),(49,1)}
         7:{1,3,5}:{(1,1),(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(84,1),(87,1)}
         8:{1,3,7}:{(1,1),(4,1),(15,1),(17,1),(41,1),(113,1)}
         9:{3,4,6}:{(2,1),(19,1),(20,1),(24,1),(51,1),(54,1),(55,1)}
        10:{2,5}:{(2,1),(16,1),(19,1)}
        11:{2,4,7}:{(2,1),(4,1),(17,1),(20,1),(23,1)}
        12:{2,4}:{(3,1),(18,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(27,1),(28,1),(59,1),(64,1),(95,1)}
        14:{2,5}:{(5,1),(7,1),(28,1),(99,1)}
        15:{2,7}:{(5,1),(8,1)}
        16:{1,5}:{(6,1),(10,1),(26,1)}
        17:{1,4,7}:{(6,1),(8,1),(11,1),(27,1),(31,1)}
        18:{1,4}:{(7,1),(12,1),(28,1),(59,1)}
        19:{3,5}:{(9,1),(10,1),(34,1)}
        20:{3,4,7}:{(9,1),(11,1),(35,1),(71,1),(74,1)}
        21:{2,5,6}:{(10,1),(29,1),(33,1),(36,1),(37,1),(39,1),(131,1),(142,1)}
        22:{2,4,5}:{(10,1),(12,1),(30,1),(34,1),(36,1),(38,1),(69,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(10,1),(11,1),(31,1),(35,1),(39,1)}
        24:{3,4}:{(12,1),(38,1),(140,1)}
        25:{3,6}:{(13,1),(40,1),(41,1),(45,1)}
        26:{2,5}:{(13,1),(16,1),(40,1),(109,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(41,1),(44,1),(78,1)}
        28:{2,4}:{(14,1),(18,1),(45,1)}
        29:{1,5,6}:{(16,1),(21,1),(42,1),(46,1),(47,1),(49,1),(123,1),(138,1)}
        30:{1,4,5}:{(16,1),(18,1),(22,1),(43,1),(46,1),(48,1),(87,1),(108,1),(123,1)}
        31:{1,5,7}:{(16,1),(17,1),(23,1),(44,1),(49,1)}
        32:{1,3,4}:{(18,1),(24,1),(45,1),(48,1),(50,1),(77,1),(84,1),(108,1),(129,1)}
        33:{3,5,6}:{(19,1),(21,1),(51,1),(52,1),(54,1),(55,1),(89,1),(136,1),(144,1),(146,1)}
        34:{4,5}:{(19,1),(51,1),(146,1)}
        35:{3,5,7}:{(19,1),(20,1),(23,1),(53,1),(54,1)}
        36:{2,4,6}:{(21,1),(22,1),(46,1),(51,1),(55,1),(56,1),(85,1)}
        37:{2,5,7}:{(21,1),(47,1),(52,1),(56,1),(57,1)}
        38:{3,5}:{(22,1),(24,1),(55,1),(129,1)}
        39:{2,6}:{(23,1),(49,1),(54,1)}
        40:{3,5}:{(25,1),(26,1),(59,1)}
        41:{3,7}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(29,1),(58,1),(61,1),(62,1),(64,1),(114,1),(133,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(59,1),(61,1),(63,1),(69,1),(90,1),(94,1),(114,1)}
        44:{2,5,7}:{(26,1),(27,1),(31,1),(60,1),(64,1)}
        45:{3}:{(28,1)}
        46:{1,4,6}:{(29,1),(30,1),(36,1),(61,1),(66,1),(67,1),(100,1)}
        47:{1,5,7}:{(29,1),(37,1),(62,1),(67,1),(68,1)}
        48:{1,3,5}:{(30,1),(32,1),(38,1),(63,1),(66,1),(69,1)}
        49:{1,6}:{(31,1),(39,1),(64,1)}
        50:{2,4}:{(32,1),(65,1),(69,1),(70,1),(99,1)}
        51:{4,6}:{(33,1),(34,1),(71,1),(140,1)}
        52:{3,5,7}:{(33,1),(37,1),(71,1),(72,1),(74,1),(102,1)}
        53:{4,5,7}:{(34,1),(35,1),(71,1),(73,1),(102,1)}
        54:{3,6}:{(35,1),(39,1),(73,1)}
        55:{3,6}:{(36,1),(38,1),(74,1)}
        56:{2,4,7}:{(36,1),(37,1),(67,1),(71,1),(74,1),(101,1)}
        57:{2,6,7}:{(37,1),(39,1),(68,1),(72,1),(142,1)}
        58:{3,5,6}:{(40,1),(42,1),(75,1),(76,1),(79,1),(80,1),(103,1),(109,1),(125,1),(126,1)}
        59:{4}:{(40,1)}
        60:{3,5,7}:{(40,1),(41,1),(44,1),(78,1),(79,1),(109,1)}
        61:{2,4,6}:{(42,1),(43,1),(46,1),(75,1),(80,1),(81,1),(85,1)}
        62:{2,5,7}:{(42,1),(47,1),(76,1),(81,1),(82,1)}
        63:{3,5}:{(43,1),(45,1),(77,1),(80,1)}
        64:{2,6}:{(44,1),(49,1),(79,1)}
        65:{2,3}:{(45,1),(50,1),(84,1),(129,1)}
        66:{1,3,6}:{(46,1),(48,1),(55,1),(80,1),(85,1),(86,1)}
        67:{1,4,7}:{(46,1),(47,1),(56,1),(81,1),(86,1),(113,1)}
        68:{1,6,7}:{(47,1),(49,1),(57,1),(82,1),(138,1)}
        69:{2,5}:{(48,1),(50,1),(85,1),(87,1)}
        70:{1,4}:{(50,1),(84,1),(87,1)}
        71:{4,7}:{(51,1),(52,1)}
        72:{3,6,7}:{(52,1),(54,1),(57,1),(88,1),(144,1)}
        73:{4,6}:{(53,1),(54,1),(89,1)}
        74:{3,7}:{(55,1),(56,1)}
        75:{4,6}:{(58,1),(59,1),(90,1),(92,1)}
        76:{3,5,7}:{(58,1),(62,1),(92,1),(93,1),(97,1),(119,1)}
        77:{3,4}:{(59,1),(63,1),(94,1)}
        78:{4,7}:{(59,1),(60,1),(95,1)}
        79:{3,6}:{(60,1),(64,1),(95,1)}
        80:{3,6}:{(61,1),(63,1),(97,1)}
        81:{2,4,7}:{(61,1),(62,1),(67,1),(92,1),(97,1),(101,1)}
        82:{2,6,7}:{(62,1),(64,1),(68,1),(93,1),(133,1)}
        83:{2,3,5}:{(63,1),(65,1),(69,1),(94,1),(96,1),(98,1),(114,1)}
        84:{1,3}:{(65,1),(70,1),(99,1)}
        85:{2,6}:{(66,1),(69,1),(100,1),(101,1)}
        86:{1,3,7}:{(66,1),(67,1),(74,1),(97,1),(101,1)}
        87:{1,5}:{(69,1),(70,1),(100,1)}
        88:{4,6,7}:{(71,1),(72,1),(73,1),(102,1),(145,1)}
        89:{5,6}:{(73,1),(102,1)}
        90:{4,5}:{(75,1),(103,1),(109,1)}
        91:{3,4,6}:{(75,1),(77,1),(80,1),(103,1),(105,1),(106,1),(125,1)}
        92:{4,7}:{(75,1),(76,1)}
        93:{3,6,7}:{(76,1),(79,1),(82,1),(107,1),(125,1)}
        94:{2,4}:{(77,1),(83,1),(108,1)}
        95:{4,6}:{(78,1),(79,1),(109,1)}
        96:{2,3,6}:{(80,1),(83,1),(85,1),(105,1),(110,1),(111,1)}
        97:{3,7}:{(80,1),(81,1)}
        98:{1,3,5}:{(83,1),(84,1),(87,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
        99:{2}:{(84,1)}
       100:{1,6}:{(85,1),(87,1),(113,1)}
       101:{2,7}:{(85,1),(86,1),(113,1)}
       102:{5,7}:{(88,1),(89,1),(146,1)}
       103:{3,5}:{(90,1),(91,1),(114,1)}
       104:{4,5,7}:{(90,1),(92,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(91,1),(94,1),(96,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(91,1),(92,1),(97,1),(115,1),(118,1)}
       107:{4,6,7}:{(92,1),(93,1),(95,1),(116,1),(119,1)}
       108:{1,4}:{(94,1),(98,1),(120,1),(140,1)}
       109:{5}:{(95,1)}
       110:{1,3,6}:{(96,1),(98,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(96,1),(97,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(98,1),(99,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  59 :   0:{2,3,7}:{(1,1),(2,1),(3,1),(82,1),(104,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(115,1)}
         2:{2,4,7}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(67,1),(93,1)}
         4:{2,7}:{(1,1),(12,1)}
         5:{1,4,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(36,1),(105,1)}
         7:{3,4,7}:{(2,1),(16,1),(17,1),(81,1),(82,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(18,1),(19,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1),(20,1)}
        10:{2,3,5}:{(3,1),(15,1),(19,1),(20,1),(50,1),(75,1),(78,1)}
        11:{2,4,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(51,1)}
        12:{2,6}:{(4,1),(6,1),(24,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1),(26,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(23,1),(25,1),(26,1),(27,1)}
        15:{1,3,5}:{(6,1),(10,1),(24,1),(26,1),(27,1),(53,1),(57,1),(91,1),(94,1)}
        16:{3,5,7}:{(7,1),(8,1),(28,1),(29,1),(30,1)}
        17:{3,4,6}:{(7,1),(9,1),(29,1),(30,1),(34,1),(65,1),(67,1)}
        18:{2,6}:{(8,1),(25,1),(29,1)}
        19:{2,5}:{(9,1),(26,1),(30,1)}
        20:{2,4}:{(10,1),(27,1),(34,1)}
        21:{3,7}:{(11,1),(36,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(36,1),(37,1),(38,1),(39,1),(68,1),(71,1)}
        24:{2,5}:{(12,1),(15,1),(39,1),(103,1)}
        25:{1,6}:{(13,1),(18,1),(37,1)}
        26:{1,5}:{(14,1),(19,1),(38,1)}
        27:{1,4}:{(15,1),(20,1),(39,1),(71,1)}
        28:{4,5,7}:{(16,1),(44,1),(47,1),(80,1),(81,1)}
        29:{3,6}:{(16,1),(18,1),(44,1)}
        30:{3,5}:{(17,1),(19,1),(47,1)}
        31:{2,6,7}:{(18,1),(40,1),(45,1),(48,1),(140,1)}
        32:{2,5,6}:{(18,1),(19,1),(41,1),(46,1),(48,1),(49,1),(133,1),(140,1)}
        33:{2,4,5}:{(19,1),(20,1),(42,1),(47,1),(49,1),(50,1),(78,1),(121,1),(133,1),(142,1)}
        34:{3,4}:{(20,1),(50,1),(142,1)}
        35:{3,5,7}:{(21,1),(22,1),(51,1),(52,1),(53,1),(84,1)}
        36:{3,6}:{(21,1),(23,1),(53,1),(57,1)}
        37:{2,6}:{(22,1),(25,1),(52,1)}
        38:{2,5}:{(23,1),(26,1),(53,1),(84,1)}
        39:{2,4}:{(24,1),(27,1),(57,1)}
        40:{1,6,7}:{(25,1),(31,1),(54,1),(58,1),(136,1)}
        41:{1,5,6}:{(25,1),(26,1),(32,1),(55,1),(58,1),(59,1),(126,1),(136,1)}
        42:{1,4,5}:{(26,1),(27,1),(33,1),(56,1),(59,1),(60,1),(94,1),(111,1),(126,1)}
        43:{1,3,4}:{(27,1),(34,1),(57,1),(60,1),(61,1),(87,1),(91,1),(111,1),(129,1)}
        44:{4,6}:{(28,1),(29,1),(63,1)}
        45:{3,6,7}:{(29,1),(31,1),(62,1),(64,1),(143,1)}
        46:{3,5,6}:{(29,1),(30,1),(32,1),(63,1),(64,1),(65,1),(67,1),(138,1),(143,1),(146,1)}
        47:{4,5}:{(30,1),(65,1),(146,1)}
        48:{2,5,7}:{(31,1),(32,1),(58,1),(64,1),(66,1)}
        49:{2,4,6}:{(32,1),(33,1),(59,1),(65,1),(66,1),(67,1),(93,1)}
        50:{3,5}:{(33,1),(34,1),(67,1),(129,1)}
        51:{4,7}:{(35,1),(68,1),(71,1)}
        52:{3,6}:{(35,1),(37,1),(68,1)}
        53:{3,5}:{(36,1),(38,1),(71,1)}
        54:{2,6,7}:{(37,1),(40,1),(69,1),(72,1),(131,1)}
        55:{2,5,6}:{(37,1),(38,1),(41,1),(70,1),(72,1),(73,1),(118,1),(131,1)}
        56:{2,4,5}:{(38,1),(39,1),(42,1),(71,1),(73,1),(74,1),(78,1),(96,1),(99,1),(118,1)}
        57:{3}:{(39,1)}
        58:{1,5,7}:{(40,1),(41,1),(48,1),(72,1),(76,1)}
        59:{1,4,6}:{(41,1),(42,1),(49,1),(73,1),(76,1),(77,1),(105,1)}
        60:{1,3,5}:{(42,1),(43,1),(50,1),(74,1),(77,1),(78,1)}
        61:{2,4}:{(43,1),(75,1),(78,1),(79,1),(103,1)}
        62:{4,6,7}:{(44,1),(45,1),(80,1),(81,1),(145,1)}
        63:{5,6}:{(44,1),(80,1)}
        64:{3,5,7}:{(45,1),(46,1),(48,1),(80,1),(81,1),(82,1)}
        65:{4,6}:{(46,1),(47,1),(81,1),(142,1)}
        66:{2,4,7}:{(48,1),(49,1),(76,1),(81,1),(82,1),(104,1)}
        67:{3,6}:{(49,1),(50,1),(82,1)}
        68:{4,6}:{(51,1),(52,1),(84,1)}
        69:{3,6,7}:{(52,1),(54,1),(83,1),(85,1),(124,1)}
        70:{3,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        71:{4}:{(53,1)}
        72:{2,5,7}:{(54,1),(55,1),(58,1),(85,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(86,1),(88,1),(89,1),(93,1)}
        74:{3,5}:{(56,1),(57,1),(87,1),(89,1)}
        75:{2,3}:{(57,1),(61,1),(91,1),(129,1)}
        76:{1,4,7}:{(58,1),(59,1),(66,1),(88,1),(92,1),(115,1)}
        77:{1,3,6}:{(59,1),(60,1),(67,1),(89,1),(92,1),(93,1)}
        78:{2,5}:{(60,1),(61,1),(93,1),(94,1)}
        79:{1,4}:{(61,1),(91,1),(94,1)}
        80:{5,7}:{(62,1),(63,1),(146,1)}
        81:{4,7}:{(64,1),(65,1)}
        82:{3,7}:{(66,1),(67,1)}
        83:{4,6,7}:{(68,1),(69,1),(95,1),(97,1),(116,1)}
        84:{5}:{(68,1)}
        85:{3,5,7}:{(69,1),(70,1),(72,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{3,4}:{(71,1),(74,1),(99,1)}
        88:{2,4,7}:{(72,1),(73,1),(76,1),(97,1),(100,1),(104,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{2,3,5}:{(74,1),(75,1),(78,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3}:{(75,1),(79,1),(103,1)}
        92:{1,3,7}:{(76,1),(77,1),(82,1),(100,1),(104,1)}
        93:{2,6}:{(77,1),(78,1),(104,1),(105,1)}
        94:{1,5}:{(78,1),(79,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(93,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(91,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2}:{(91,1)}
       104:{2,7}:{(92,1),(93,1),(115,1)}
       105:{1,6}:{(93,1),(94,1),(115,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(104,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(105,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(103,1),(121,1),(123,1)}
       115:{1,7}:{(104,1),(105,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  60 :  0:{3,4}:{(2,1),(3,1)}
        1:{2,3}:{(2,1),(4,1)}
        2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
        3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,3}:{(1,1),(5,1),(9,1),(15,1)}
        5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
        6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
        7:{4,5}:{(3,1),(13,1)}
        8:{3,6}:{(3,1),(12,1),(13,1),(14,1)}
        9:{2}:{(4,1)}
       10:{2,4}:{(5,1),(9,1),(15,1),(16,1),(25,1)}
       11:{1,5}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,6}:{(6,1),(8,1),(17,1),(18,1)}
       13:{4,6}:{(7,1),(8,1),(19,1),(20,1)}
       14:{3,7}:{(8,1),(18,1),(20,1)}
       15:{3}:{(10,1)}
       16:{2,5}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,6}:{(11,1),(12,1),(22,1),(23,1)}
       18:{2,7}:{(12,1),(14,1),(23,1)}
       19:{5,6}:{(13,1),(24,1)}
       20:{4,7}:{(13,1),(14,1),(24,1)}
       21:{3,5}:{(15,1),(16,1),(25,1),(26,1),(31,1)}
       22:{2,6}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,7}:{(17,1),(18,1),(27,1)}
       24:{5,7}:{(19,1),(20,1),(28,1)}
       25:{4}:{(21,1)}
       26:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       27:{2,7}:{(22,1),(23,1),(30,1)}
       28:{6,7}:{(24,1)}
       29:{4,6}:{(25,1),(26,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  61 :   0:{2,4,5}:{(1,1),(2,1),(3,1),(15,1),(19,1),(60,1),(62,1),(89,1),(122,1),(138,1)}
         1:{1,4,5}:{(0,1),(4,1),(5,1),(6,1),(32,1),(36,1),(68,1),(82,1),(109,1)}
         2:{3,5}:{(0,1),(7,1),(9,1),(107,1)}
         3:{2,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(33,1),(43,1)}
         4:{2,4,5}:{(1,1),(12,1),(13,1),(15,1),(46,1),(58,1),(91,1),(93,1),(101,1),(128,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(16,1),(17,1),(18,1),(55,1)}
         7:{3,4}:{(2,1),(19,1),(138,1)}
         8:{2,3,5}:{(2,1),(15,1),(19,1),(21,1),(22,1),(53,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(24,1)}
        10:{2,5,6}:{(3,1),(17,1),(23,1),(25,1),(60,1),(104,1),(122,1),(140,1)}
        11:{2,4,7}:{(3,1),(18,1),(24,1),(25,1),(56,1),(66,1)}
        12:{3,5}:{(4,1),(26,1),(28,1),(80,1)}
        13:{2,4,6}:{(4,1),(6,1),(28,1),(29,1),(30,1),(33,1),(75,1)}
        14:{1,3,4}:{(5,1),(7,1),(26,1),(31,1),(36,1),(68,1),(78,1),(80,1),(107,1)}
        15:{2,5}:{(5,1),(31,1),(32,1),(33,1)}
        16:{1,3,6}:{(5,1),(6,1),(9,1),(28,1),(33,1),(34,1)}
        17:{1,5,6}:{(6,1),(10,1),(29,1),(35,1),(82,1),(109,1),(119,1),(134,1)}
        18:{1,4,7}:{(6,1),(11,1),(30,1),(34,1),(35,1),(79,1)}
        19:{2,4}:{(7,1),(8,1),(36,1)}
        20:{3,4,6}:{(7,1),(9,1),(37,1),(38,1),(39,1),(43,1),(86,1)}
        21:{1,3,5}:{(8,1),(32,1),(36,1),(40,1),(41,1),(78,1),(80,1),(82,1),(116,1)}
        22:{2,3,6}:{(8,1),(9,1),(33,1),(37,1),(41,1),(42,1)}
        23:{3,5,6}:{(9,1),(10,1),(38,1),(43,1),(44,1),(86,1),(120,1),(131,1),(143,1),(146,1)}
        24:{3,7}:{(9,1),(11,1)}
        25:{2,5,7}:{(10,1),(11,1),(35,1),(44,1),(45,1)}
        26:{3,4}:{(12,1),(46,1),(128,1)}
        27:{2,3,5}:{(12,1),(15,1),(46,1),(48,1),(49,1),(53,1),(91,1)}
        28:{3,6}:{(12,1),(13,1),(51,1)}
        29:{2,5,6}:{(13,1),(17,1),(50,1),(52,1),(91,1),(101,1),(125,1),(130,1)}
        30:{2,4,7}:{(13,1),(18,1),(51,1),(52,1),(56,1),(97,1)}
        31:{2,4}:{(14,1),(15,1),(53,1),(54,1),(99,1)}
        32:{1,5}:{(15,1),(54,1),(55,1)}
        33:{2,6}:{(15,1),(16,1),(55,1),(56,1)}
        34:{1,3,7}:{(16,1),(18,1),(24,1),(51,1),(56,1)}
        35:{1,5,7}:{(17,1),(18,1),(25,1),(52,1),(57,1)}
        36:{1,4}:{(19,1),(21,1),(58,1),(128,1)}
        37:{2,4,6}:{(19,1),(20,1),(22,1),(59,1),(60,1),(61,1),(104,1)}
        38:{3,5}:{(20,1),(60,1),(62,1)}
        39:{3,4,7}:{(20,1),(24,1),(61,1),(63,1),(66,1)}
        40:{2,5}:{(21,1),(58,1),(64,1),(99,1)}
        41:{1,3,6}:{(21,1),(22,1),(55,1),(59,1),(64,1),(65,1),(100,1)}
        42:{2,3,7}:{(22,1),(24,1),(56,1),(61,1),(65,1)}
        43:{4,6}:{(23,1),(62,1),(66,1),(138,1)}
        44:{3,5,7}:{(23,1),(24,1),(25,1),(66,1),(67,1),(106,1)}
        45:{2,6,7}:{(25,1),(57,1),(67,1),(104,1),(140,1)}
        46:{2,4}:{(26,1),(27,1),(68,1)}
        47:{3,4,6}:{(26,1),(28,1),(69,1),(70,1),(71,1),(75,1),(113,1)}
        48:{1,3,5}:{(27,1),(32,1),(68,1),(72,1),(73,1),(78,1),(107,1),(109,1),(131,1)}
        49:{2,3,6}:{(27,1),(28,1),(33,1),(69,1),(73,1),(74,1)}
        50:{3,5,6}:{(28,1),(29,1),(70,1),(75,1),(76,1),(113,1),(116,1),(135,1),(137,1),(144,1)}
        51:{3,7}:{(28,1),(30,1)}
        52:{2,5,7}:{(29,1),(30,1),(35,1),(76,1),(77,1)}
        53:{2,3}:{(31,1),(78,1),(80,1),(107,1)}
        54:{1,4}:{(31,1),(32,1),(78,1)}
        55:{1,6}:{(32,1),(33,1),(79,1)}
        56:{2,7}:{(33,1),(34,1),(79,1)}
        57:{1,6,7}:{(35,1),(45,1),(77,1),(119,1),(134,1)}
        58:{2,4}:{(36,1),(40,1),(80,1)}
        59:{1,4,6}:{(36,1),(37,1),(41,1),(81,1),(82,1),(83,1),(119,1)}
        60:{2,5}:{(37,1),(38,1),(82,1)}
        61:{2,4,7}:{(37,1),(39,1),(42,1),(83,1),(84,1)}
        62:{4,5}:{(38,1),(43,1),(146,1)}
        63:{3,5,7}:{(38,1),(39,1),(84,1),(85,1),(86,1)}
        64:{2,6}:{(40,1),(41,1),(87,1)}
        65:{1,3,7}:{(41,1),(42,1),(79,1),(83,1),(87,1),(117,1)}
        66:{4,7}:{(43,1),(44,1)}
        67:{3,6,7}:{(44,1),(45,1),(86,1),(88,1),(143,1)}
        68:{1,4}:{(46,1),(48,1),(89,1),(138,1)}
        69:{2,4,6}:{(46,1),(47,1),(49,1),(90,1),(91,1),(92,1),(125,1)}
        70:{3,5}:{(47,1),(91,1),(93,1)}
        71:{3,4,7}:{(47,1),(51,1),(92,1),(94,1),(97,1)}
        72:{2,5}:{(48,1),(89,1),(95,1),(99,1)}
        73:{1,3,6}:{(48,1),(49,1),(55,1),(90,1),(95,1),(96,1),(121,1)}
        74:{2,3,7}:{(49,1),(51,1),(56,1),(92,1),(96,1)}
        75:{4,6}:{(50,1),(93,1),(97,1),(128,1)}
        76:{3,5,7}:{(50,1),(51,1),(52,1),(97,1),(98,1),(127,1)}
        77:{2,6,7}:{(52,1),(57,1),(98,1),(125,1),(130,1)}
        78:{1,3}:{(53,1),(54,1),(99,1)}
        79:{1,7}:{(55,1),(56,1)}
        80:{3}:{(58,1)}
        81:{2,4,6}:{(58,1),(59,1),(64,1),(100,1),(101,1),(102,1),(128,1),(130,1),(141,1)}
        82:{1,5}:{(59,1),(60,1),(101,1)}
        83:{1,4,7}:{(59,1),(61,1),(65,1),(102,1),(103,1)}
        84:{2,5,7}:{(60,1),(61,1),(63,1),(103,1),(104,1)}
        85:{4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        86:{3,6}:{(63,1),(104,1),(105,1)}
        87:{2,7}:{(64,1),(65,1)}
        88:{4,6,7}:{(66,1),(67,1),(105,1),(106,1),(145,1)}
        89:{2,4}:{(68,1),(72,1),(107,1)}
        90:{1,4,6}:{(68,1),(69,1),(73,1),(108,1),(109,1),(110,1),(134,1)}
        91:{2,5}:{(69,1),(70,1),(109,1)}
        92:{2,4,7}:{(69,1),(71,1),(74,1),(110,1),(111,1)}
        93:{4,5}:{(70,1),(75,1),(144,1)}
        94:{3,5,7}:{(70,1),(71,1),(111,1),(112,1),(113,1)}
        95:{2,6}:{(72,1),(73,1),(114,1)}
        96:{1,3,7}:{(73,1),(74,1),(79,1),(110,1),(114,1),(132,1)}
        97:{4,7}:{(75,1),(76,1)}
        98:{3,6,7}:{(76,1),(77,1),(113,1),(115,1),(137,1)}
        99:{2}:{(78,1)}
       100:{3,6}:{(80,1),(81,1),(116,1),(117,1)}
       101:{2,5}:{(81,1),(82,1),(116,1),(144,1)}
       102:{2,4,7}:{(81,1),(83,1),(87,1),(117,1),(118,1),(136,1)}
       103:{1,5,7}:{(82,1),(83,1),(84,1),(118,1),(119,1)}
       104:{2,6}:{(84,1),(86,1),(119,1)}
       105:{4,6}:{(85,1),(86,1),(120,1)}
       106:{5,7}:{(88,1),(120,1),(146,1)}
       107:{3}:{(89,1)}
       108:{2,4,6}:{(89,1),(90,1),(95,1),(121,1),(122,1),(123,1),(138,1),(140,1),(145,1)}
       109:{1,5}:{(90,1),(91,1),(122,1)}
       110:{1,4,7}:{(90,1),(92,1),(96,1),(123,1),(124,1)}
       111:{2,5,7}:{(91,1),(92,1),(94,1),(124,1),(125,1)}
       112:{4,5,7}:{(93,1),(94,1),(97,1),(126,1),(127,1)}
       113:{3,6}:{(94,1),(125,1),(126,1)}
       114:{2,7}:{(95,1),(96,1)}
       115:{4,6,7}:{(97,1),(98,1),(126,1),(127,1),(141,1)}
       116:{3,5}:{(100,1),(101,1),(128,1)}
       117:{3,7}:{(100,1),(102,1)}
       118:{2,5,7}:{(101,1),(102,1),(103,1),(129,1),(130,1)}
       119:{1,6}:{(103,1),(104,1),(130,1)}
       120:{5,6}:{(105,1),(106,1)}
       121:{3,6}:{(107,1),(108,1),(131,1),(132,1)}
       122:{2,5}:{(108,1),(109,1),(131,1),(146,1)}
       123:{2,4,7}:{(108,1),(110,1),(114,1),(132,1),(133,1),(142,1)}
       124:{1,5,7}:{(109,1),(110,1),(111,1),(133,1),(134,1)}
       125:{2,6}:{(111,1),(113,1),(134,1)}
       126:{4,6}:{(112,1),(113,1),(135,1)}
       127:{5,7}:{(115,1),(135,1),(144,1)}
       128:{4}:{(116,1)}
       129:{3,5,7}:{(116,1),(117,1),(118,1),(136,1),(137,1),(144,1)}
       130:{2,6}:{(118,1),(119,1),(137,1)}
       131:{3,5}:{(121,1),(122,1),(138,1)}
       132:{3,7}:{(121,1),(123,1)}
       133:{2,5,7}:{(122,1),(123,1),(124,1),(139,1),(140,1)}
       134:{1,6}:{(124,1),(125,1),(140,1)}
       135:{5,6}:{(126,1),(127,1)}
       136:{4,7}:{(128,1),(129,1),(141,1)}
       137:{3,6}:{(129,1),(130,1),(141,1)}
       138:{4}:{(131,1)}
       139:{3,5,7}:{(131,1),(132,1),(133,1),(142,1),(143,1),(146,1)}
       140:{2,6}:{(133,1),(134,1),(143,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{4,7}:{(138,1),(139,1),(145,1)}
       143:{3,6}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

  62 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(19,1),(21,1),(37,1),(38,1)}
        1:{1,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(28,1),(29,1),(41,1)}
        2:{3,6}:{(0,1),(9,1),(10,1),(42,1)}
        3:{2,5}:{(0,1),(7,1),(9,1),(43,1)}
        4:{2,4,7}:{(0,1),(8,1),(10,1),(11,1),(27,1),(30,1)}
        5:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(32,1),(34,1),(37,1),(44,1)}
        6:{1,3,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(45,1)}
        7:{1,5}:{(1,1),(3,1),(13,1)}
        8:{1,4,7}:{(1,1),(4,1),(14,1),(17,1),(18,1),(36,1)}
        9:{3,5}:{(2,1),(3,1),(19,1)}
       10:{3,7}:{(2,1),(4,1)}
       11:{2,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1)}
       12:{3,6}:{(5,1),(22,1),(23,1),(42,1)}
       13:{2,5}:{(5,1),(7,1),(22,1),(46,1)}
       14:{2,4,7}:{(5,1),(8,1),(23,1),(24,1),(27,1),(39,1)}
       15:{2,6}:{(6,1),(25,1),(26,1),(27,1),(47,1)}
       16:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(42,1)}
       17:{1,3,7}:{(6,1),(8,1),(10,1),(23,1),(27,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(24,1),(29,1)}
       19:{4}:{(9,1)}
       20:{3,5,7}:{(9,1),(10,1),(11,1),(30,1),(31,1),(43,1)}
       21:{2,6}:{(11,1),(29,1),(31,1)}
       22:{3,5}:{(12,1),(13,1),(32,1)}
       23:{3,7}:{(12,1),(14,1)}
       24:{2,5,7}:{(13,1),(14,1),(18,1),(33,1),(34,1)}
       25:{1,6}:{(15,1),(35,1),(36,1),(48,1)}
       26:{2,5}:{(15,1),(16,1),(35,1),(37,1)}
       27:{2,7}:{(15,1),(17,1),(36,1)}
       28:{1,4}:{(16,1),(19,1),(32,1),(37,1),(48,1)}
       29:{1,6}:{(18,1),(21,1),(34,1)}
       30:{4,7}:{(19,1),(20,1),(38,1)}
       31:{3,6}:{(20,1),(21,1),(38,1)}
       32:{4}:{(22,1)}
       33:{3,5,7}:{(22,1),(23,1),(24,1),(39,1),(40,1),(46,1)}
       34:{2,6}:{(24,1),(29,1),(40,1)}
       35:{1,5}:{(25,1),(26,1),(41,1)}
       36:{1,7}:{(25,1),(27,1)}
       37:{2,4}:{(26,1),(28,1),(41,1),(42,1),(47,1)}
       38:{4,6}:{(30,1),(31,1),(43,1)}
       39:{4,7}:{(32,1),(33,1),(44,1)}
       40:{3,6}:{(33,1),(34,1),(44,1)}
       41:{1,4}:{(35,1),(37,1),(45,1)}
       42:{3}:{(37,1)}
       43:{5}:{(38,1)}
       44:{4,6}:{(39,1),(40,1),(46,1)}
       45:{1,3}:{(41,1),(42,1),(47,1)}
       46:{5}:{(44,1)}
       47:{2}:{(45,1),(48,1)}
       48:{1}:{(47,1)}

  63 :   0:{2,5,6}:{(1,1),(2,1),(3,1),(4,1),(57,1),(102,1),(121,1),(140,1)}
         1:{1,5,6}:{(0,1),(5,1),(6,1),(7,1),(79,1),(106,1),(118,1),(133,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1),(37,1),(81,1),(82,1),(131,1),(143,1),(146,1)}
         3:{2,4,6}:{(0,1),(6,1),(8,1),(10,1),(11,1),(12,1),(35,1)}
         4:{2,5,7}:{(0,1),(7,1),(9,1),(12,1),(13,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(16,1),(88,1),(100,1),(123,1),(130,1)}
         6:{1,4,6}:{(1,1),(3,1),(15,1),(17,1),(18,1),(19,1),(55,1)}
         7:{1,5,7}:{(1,1),(4,1),(16,1),(19,1),(20,1)}
         8:{4,6}:{(2,1),(21,1),(23,1),(138,1)}
         9:{3,5,7}:{(2,1),(4,1),(23,1),(24,1),(27,1),(62,1)}
        10:{2,4,5}:{(3,1),(17,1),(21,1),(25,1),(54,1),(57,1),(63,1),(121,1),(126,1),(138,1)}
        11:{3,6}:{(3,1),(25,1),(27,1)}
        12:{2,4,7}:{(3,1),(4,1),(19,1),(23,1),(27,1),(56,1)}
        13:{2,6,7}:{(4,1),(20,1),(24,1),(102,1),(140,1)}
        14:{3,5,6}:{(5,1),(28,1),(29,1),(31,1),(67,1),(108,1),(109,1),(116,1),(137,1),(144,1)}
        15:{2,4,6}:{(5,1),(6,1),(28,1),(30,1),(31,1),(32,1),(35,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(32,1),(33,1)}
        17:{1,4,5}:{(6,1),(10,1),(30,1),(34,1),(77,1),(79,1),(85,1),(106,1),(112,1)}
        18:{1,3,6}:{(6,1),(11,1),(31,1),(34,1),(35,1),(36,1)}
        19:{1,4,7}:{(6,1),(7,1),(12,1),(32,1),(36,1),(78,1)}
        20:{1,6,7}:{(7,1),(13,1),(33,1),(118,1),(133,1)}
        21:{4,5}:{(8,1),(37,1),(146,1)}
        22:{3,4,6}:{(8,1),(11,1),(37,1),(39,1),(40,1),(42,1),(81,1)}
        23:{4,7}:{(8,1),(9,1)}
        24:{3,6,7}:{(9,1),(13,1),(41,1),(81,1),(143,1)}
        25:{3,5}:{(10,1),(11,1),(42,1),(135,1)}
        26:{2,3,6}:{(11,1),(35,1),(39,1),(43,1),(44,1),(45,1)}
        27:{3,7}:{(11,1),(12,1)}
        28:{4,6}:{(14,1),(46,1),(48,1),(128,1)}
        29:{3,5,7}:{(14,1),(16,1),(48,1),(49,1),(52,1),(93,1)}
        30:{2,4,5}:{(15,1),(17,1),(46,1),(50,1),(54,1),(88,1),(94,1),(100,1),(105,1),(128,1)}
        31:{3,6}:{(15,1),(50,1),(52,1)}
        32:{2,4,7}:{(15,1),(16,1),(19,1),(48,1),(52,1),(56,1)}
        33:{2,6,7}:{(16,1),(20,1),(49,1),(123,1),(130,1)}
        34:{1,3,5}:{(17,1),(18,1),(25,1),(50,1),(53,1),(54,1)}
        35:{2,6}:{(18,1),(54,1),(55,1),(56,1)}
        36:{1,3,7}:{(18,1),(19,1),(27,1),(52,1),(56,1)}
        37:{3,5}:{(21,1),(22,1),(57,1)}
        38:{4,5,7}:{(21,1),(23,1),(58,1),(59,1),(62,1)}
        39:{2,4,6}:{(22,1),(26,1),(57,1),(60,1),(61,1),(63,1),(102,1)}
        40:{3,4,7}:{(22,1),(23,1),(27,1),(58,1),(61,1)}
        41:{4,6,7}:{(23,1),(24,1),(59,1),(62,1),(145,1)}
        42:{3,4}:{(25,1),(63,1),(138,1)}
        43:{2,3,5}:{(25,1),(26,1),(54,1),(57,1),(63,1),(64,1),(98,1)}
        44:{1,3,6}:{(26,1),(55,1),(60,1),(64,1),(65,1),(66,1),(103,1)}
        45:{2,3,7}:{(26,1),(27,1),(56,1),(61,1),(66,1)}
        46:{4,5}:{(28,1),(67,1),(144,1)}
        47:{3,4,6}:{(28,1),(31,1),(67,1),(69,1),(70,1),(72,1),(108,1)}
        48:{4,7}:{(28,1),(29,1)}
        49:{3,6,7}:{(29,1),(33,1),(71,1),(108,1),(137,1)}
        50:{3,5}:{(30,1),(31,1),(72,1),(120,1)}
        51:{2,3,6}:{(31,1),(35,1),(69,1),(73,1),(74,1),(75,1)}
        52:{3,7}:{(31,1),(32,1)}
        53:{1,3,4}:{(34,1),(42,1),(72,1),(76,1),(85,1),(112,1),(115,1),(120,1),(135,1)}
        54:{2,5}:{(34,1),(35,1),(76,1),(77,1)}
        55:{1,6}:{(35,1),(77,1),(78,1)}
        56:{2,7}:{(35,1),(36,1),(78,1)}
        57:{2,5}:{(37,1),(39,1),(79,1)}
        58:{3,5,7}:{(37,1),(38,1),(40,1),(80,1),(81,1)}
        59:{4,6}:{(38,1),(81,1),(82,1)}
        60:{1,4,6}:{(39,1),(44,1),(79,1),(83,1),(84,1),(85,1),(118,1)}
        61:{2,4,7}:{(39,1),(40,1),(45,1),(80,1),(84,1)}
        62:{5,7}:{(41,1),(82,1),(146,1)}
        63:{2,4}:{(42,1),(43,1),(85,1)}
        64:{1,3,5}:{(43,1),(44,1),(77,1),(79,1),(85,1),(86,1),(115,1),(116,1),(120,1)}
        65:{2,6}:{(44,1),(86,1),(87,1)}
        66:{1,3,7}:{(44,1),(45,1),(78,1),(84,1),(87,1),(119,1)}
        67:{3,5}:{(46,1),(47,1),(88,1)}
        68:{4,5,7}:{(46,1),(48,1),(89,1),(90,1),(93,1)}
        69:{2,4,6}:{(47,1),(51,1),(88,1),(91,1),(92,1),(94,1),(123,1)}
        70:{3,4,7}:{(47,1),(48,1),(52,1),(89,1),(92,1)}
        71:{4,6,7}:{(48,1),(49,1),(90,1),(93,1),(141,1)}
        72:{3,4}:{(50,1),(94,1),(128,1)}
        73:{2,3,5}:{(50,1),(51,1),(54,1),(88,1),(94,1),(95,1),(98,1)}
        74:{1,3,6}:{(51,1),(55,1),(91,1),(95,1),(96,1),(97,1),(124,1)}
        75:{2,3,7}:{(51,1),(52,1),(56,1),(92,1),(97,1)}
        76:{2,4}:{(53,1),(54,1),(98,1),(99,1),(127,1)}
        77:{1,5}:{(54,1),(55,1),(99,1)}
        78:{1,7}:{(55,1),(56,1)}
        79:{1,5}:{(57,1),(60,1),(100,1)}
        80:{2,5,7}:{(57,1),(58,1),(61,1),(101,1),(102,1)}
        81:{3,6}:{(58,1),(59,1),(102,1)}
        82:{5,6}:{(59,1),(62,1)}
        83:{2,4,6}:{(60,1),(65,1),(100,1),(103,1),(104,1),(105,1),(128,1),(130,1),(141,1)}
        84:{1,4,7}:{(60,1),(61,1),(66,1),(101,1),(104,1)}
        85:{1,4}:{(63,1),(64,1),(105,1),(128,1)}
        86:{2,5}:{(64,1),(65,1),(105,1),(127,1)}
        87:{2,7}:{(65,1),(66,1)}
        88:{2,5}:{(67,1),(69,1),(106,1)}
        89:{3,5,7}:{(67,1),(68,1),(70,1),(107,1),(108,1)}
        90:{4,6}:{(68,1),(108,1),(109,1)}
        91:{1,4,6}:{(69,1),(74,1),(106,1),(110,1),(111,1),(112,1),(133,1)}
        92:{2,4,7}:{(69,1),(70,1),(75,1),(107,1),(111,1)}
        93:{5,7}:{(71,1),(109,1),(144,1)}
        94:{2,4}:{(72,1),(73,1),(112,1)}
        95:{1,3,5}:{(73,1),(74,1),(77,1),(106,1),(112,1),(113,1),(115,1),(131,1),(135,1)}
        96:{2,6}:{(74,1),(113,1),(114,1)}
        97:{1,3,7}:{(74,1),(75,1),(78,1),(111,1),(114,1),(134,1)}
        98:{2,3}:{(76,1),(115,1),(120,1),(135,1)}
        99:{1,4}:{(76,1),(77,1),(115,1)}
       100:{2,5}:{(79,1),(83,1),(116,1),(144,1)}
       101:{1,5,7}:{(79,1),(80,1),(84,1),(117,1),(118,1)}
       102:{2,6}:{(80,1),(81,1),(118,1)}
       103:{3,6}:{(83,1),(116,1),(119,1),(120,1)}
       104:{2,4,7}:{(83,1),(84,1),(87,1),(117,1),(119,1),(136,1)}
       105:{2,4}:{(85,1),(86,1),(120,1)}
       106:{1,5}:{(88,1),(91,1),(121,1)}
       107:{2,5,7}:{(88,1),(89,1),(92,1),(122,1),(123,1)}
       108:{3,6}:{(89,1),(90,1),(123,1)}
       109:{5,6}:{(90,1),(93,1)}
       110:{2,4,6}:{(91,1),(96,1),(121,1),(124,1),(125,1),(126,1),(138,1),(140,1),(145,1)}
       111:{1,4,7}:{(91,1),(92,1),(97,1),(122,1),(125,1)}
       112:{1,4}:{(94,1),(95,1),(126,1),(138,1)}
       113:{2,5}:{(95,1),(96,1),(126,1),(127,1)}
       114:{2,7}:{(96,1),(97,1)}
       115:{1,3}:{(98,1),(99,1),(127,1)}
       116:{3,5}:{(100,1),(103,1),(128,1)}
       117:{2,5,7}:{(100,1),(101,1),(104,1),(129,1),(130,1)}
       118:{1,6}:{(101,1),(102,1),(130,1)}
       119:{3,7}:{(103,1),(104,1)}
       120:{3}:{(105,1)}
       121:{2,5}:{(106,1),(110,1),(131,1),(146,1)}
       122:{1,5,7}:{(106,1),(107,1),(111,1),(132,1),(133,1)}
       123:{2,6}:{(107,1),(108,1),(133,1)}
       124:{3,6}:{(110,1),(131,1),(134,1),(135,1)}
       125:{2,4,7}:{(110,1),(111,1),(114,1),(132,1),(134,1),(142,1)}
       126:{2,4}:{(112,1),(113,1),(135,1)}
       127:{2}:{(115,1)}
       128:{4}:{(116,1)}
       129:{3,5,7}:{(116,1),(117,1),(119,1),(136,1),(137,1),(144,1)}
       130:{2,6}:{(117,1),(118,1),(137,1)}
       131:{3,5}:{(121,1),(124,1),(138,1)}
       132:{2,5,7}:{(121,1),(122,1),(125,1),(139,1),(140,1)}
       133:{1,6}:{(122,1),(123,1),(140,1)}
       134:{3,7}:{(124,1),(125,1)}
       135:{3}:{(126,1)}
       136:{4,7}:{(128,1),(129,1),(141,1)}
       137:{3,6}:{(129,1),(130,1),(141,1)}
       138:{4}:{(131,1)}
       139:{3,5,7}:{(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       140:{2,6}:{(132,1),(133,1),(143,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{4,7}:{(138,1),(139,1),(145,1)}
       143:{3,6}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

  64 :  0:{2,5,7}:{(1,1),(2,1),(3,1),(4,1),(19,1)}
        1:{1,5,7}:{(0,1),(5,1),(6,1),(7,1),(26,1)}
        2:{3,5,7}:{(0,1),(8,1),(9,1),(10,1),(27,1),(28,1)}
        3:{2,4,7}:{(0,1),(6,1),(8,1),(10,1),(11,1),(24,1)}
        4:{2,6}:{(0,1),(7,1),(9,1)}
        5:{2,5,7}:{(1,1),(12,1),(13,1),(14,1),(31,1)}
        6:{1,4,7}:{(1,1),(3,1),(13,1),(15,1),(16,1),(32,1)}
        7:{1,6}:{(1,1),(4,1),(14,1)}
        8:{4,7}:{(2,1),(17,1),(35,1)}
        9:{3,6}:{(2,1),(4,1),(17,1)}
       10:{3,7}:{(3,1),(18,1)}
       11:{2,4,6}:{(3,1),(4,1),(16,1),(17,1),(18,1),(19,1),(33,1),(35,1),(43,1)}
       12:{3,5,7}:{(5,1),(20,1),(21,1),(22,1),(36,1),(37,1)}
       13:{2,4,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(24,1)}
       14:{2,6}:{(5,1),(7,1),(21,1)}
       15:{1,3,7}:{(6,1),(10,1),(22,1),(24,1),(25,1)}
       16:{1,4,6}:{(6,1),(7,1),(11,1),(23,1),(25,1),(26,1),(38,1),(40,1),(44,1)}
       17:{4,6}:{(8,1),(9,1),(27,1)}
       18:{3,6}:{(10,1),(11,1),(28,1),(45,1)}
       19:{2,5}:{(11,1),(26,1),(27,1),(28,1)}
       20:{4,7}:{(12,1),(29,1),(41,1)}
       21:{3,6}:{(12,1),(14,1),(29,1)}
       22:{3,7}:{(13,1),(30,1)}
       23:{2,4,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       24:{2,7}:{(15,1),(32,1),(33,1)}
       25:{1,3,6}:{(15,1),(16,1),(18,1),(30,1),(33,1),(34,1),(46,1)}
       26:{1,5}:{(16,1),(19,1),(31,1)}
       27:{5}:{(17,1)}
       28:{3,5}:{(18,1),(19,1),(35,1)}
       29:{4,6}:{(20,1),(21,1),(36,1)}
       30:{3,6}:{(22,1),(23,1),(37,1),(45,1)}
       31:{2,5}:{(23,1),(26,1),(36,1),(37,1)}
       32:{1,7}:{(24,1),(38,1)}
       33:{2,6}:{(24,1),(25,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(25,1),(26,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  65 :   0:{2,6,7}:{(1,1),(2,1),(3,1),(78,1),(131,1)}
         1:{1,6,7}:{(0,1),(4,1),(5,1),(97,1),(119,1)}
         2:{3,6,7}:{(0,1),(6,1),(7,1),(58,1),(139,1)}
         3:{2,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
         4:{2,6,7}:{(1,1),(10,1),(11,1),(104,1),(114,1)}
         5:{1,5,7}:{(1,1),(3,1),(11,1),(12,1),(13,1)}
         6:{4,6,7}:{(2,1),(14,1),(16,1),(40,1),(144,1)}
         7:{3,5,7}:{(2,1),(3,1),(14,1),(15,1),(16,1),(18,1)}
         8:{2,5,6}:{(3,1),(12,1),(15,1),(17,1),(78,1),(80,1),(131,1),(133,1)}
         9:{2,4,7}:{(3,1),(13,1),(16,1),(17,1),(18,1),(39,1)}
        10:{3,6,7}:{(4,1),(19,1),(20,1),(86,1),(127,1)}
        11:{2,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1)}
        12:{1,5,6}:{(5,1),(8,1),(21,1),(23,1),(97,1),(99,1),(119,1),(121,1)}
        13:{1,4,7}:{(5,1),(9,1),(22,1),(23,1),(24,1),(57,1)}
        14:{5,7}:{(6,1),(25,1),(146,1)}
        15:{3,5,6}:{(7,1),(8,1),(25,1),(27,1),(30,1),(58,1),(60,1),(139,1),(141,1),(146,1)}
        16:{4,7}:{(7,1),(27,1)}
        17:{2,4,6}:{(8,1),(9,1),(23,1),(27,1),(29,1),(30,1),(56,1)}
        18:{3,7}:{(9,1),(30,1)}
        19:{4,6,7}:{(10,1),(32,1),(34,1),(67,1),(137,1)}
        20:{3,5,7}:{(10,1),(11,1),(32,1),(33,1),(34,1),(36,1)}
        21:{2,5,6}:{(11,1),(12,1),(33,1),(35,1),(104,1),(106,1),(114,1),(116,1)}
        22:{2,4,7}:{(11,1),(13,1),(34,1),(35,1),(36,1),(39,1)}
        23:{1,4,6}:{(12,1),(13,1),(17,1),(35,1),(37,1),(38,1),(77,1)}
        24:{1,3,7}:{(13,1),(18,1),(36,1),(38,1),(39,1)}
        25:{5,6}:{(14,1),(40,1)}
        26:{4,5,7}:{(14,1),(16,1),(40,1),(41,1),(42,1)}
        27:{4,6}:{(15,1),(16,1),(42,1),(145,1)}
        28:{3,4,7}:{(16,1),(18,1),(41,1),(43,1),(44,1)}
        29:{2,4,5}:{(17,1),(37,1),(42,1),(45,1),(76,1),(80,1),(83,1),(133,1),(135,1),(145,1)}
        30:{3,6}:{(17,1),(18,1),(45,1)}
        31:{2,3,7}:{(18,1),(39,1),(44,1),(46,1),(47,1)}
        32:{5,7}:{(19,1),(48,1),(143,1)}
        33:{3,5,6}:{(20,1),(21,1),(48,1),(50,1),(53,1),(86,1),(88,1),(127,1),(129,1),(143,1)}
        34:{4,7}:{(20,1),(50,1)}
        35:{2,4,6}:{(21,1),(22,1),(23,1),(50,1),(52,1),(53,1),(56,1)}
        36:{3,7}:{(22,1),(53,1)}
        37:{1,4,5}:{(23,1),(29,1),(52,1),(55,1),(96,1),(99,1),(102,1),(121,1),(124,1)}
        38:{1,3,6}:{(23,1),(24,1),(30,1),(53,1),(55,1),(56,1)}
        39:{2,7}:{(24,1),(56,1),(57,1)}
        40:{4,6}:{(25,1),(26,1),(58,1)}
        41:{3,5,7}:{(26,1),(28,1),(58,1),(59,1),(60,1)}
        42:{4,5}:{(27,1),(60,1),(146,1)}
        43:{3,4,6}:{(27,1),(28,1),(30,1),(58,1),(60,1),(61,1),(63,1)}
        44:{2,4,7}:{(28,1),(31,1),(59,1),(61,1),(62,1)}
        45:{3,5}:{(29,1),(30,1),(63,1),(142,1)}
        46:{2,3,6}:{(30,1),(31,1),(56,1),(61,1),(64,1),(65,1)}
        47:{1,3,7}:{(31,1),(57,1),(62,1),(65,1),(66,1),(101,1)}
        48:{5,6}:{(32,1),(67,1)}
        49:{4,5,7}:{(32,1),(34,1),(67,1),(68,1),(69,1)}
        50:{4,6}:{(33,1),(34,1),(69,1),(138,1)}
        51:{3,4,7}:{(34,1),(36,1),(68,1),(70,1),(71,1)}
        52:{2,4,5}:{(35,1),(37,1),(69,1),(72,1),(76,1),(106,1),(109,1),(116,1),(118,1),(138,1)}
        53:{3,6}:{(35,1),(36,1),(72,1)}
        54:{2,3,7}:{(36,1),(39,1),(71,1),(73,1),(74,1)}
        55:{1,3,5}:{(37,1),(38,1),(45,1),(72,1),(75,1),(76,1)}
        56:{2,6}:{(38,1),(39,1),(76,1),(77,1)}
        57:{1,7}:{(39,1),(77,1)}
        58:{3,6}:{(40,1),(41,1),(78,1)}
        59:{2,5,7}:{(41,1),(44,1),(78,1),(79,1),(80,1)}
        60:{3,5}:{(42,1),(43,1),(80,1)}
        61:{2,4,6}:{(43,1),(44,1),(46,1),(78,1),(80,1),(81,1),(83,1)}
        62:{1,4,7}:{(44,1),(47,1),(79,1),(81,1),(82,1)}
        63:{3,4}:{(45,1),(83,1),(145,1)}
        64:{2,3,5}:{(45,1),(46,1),(76,1),(80,1),(83,1),(84,1),(112,1)}
        65:{1,3,6}:{(46,1),(47,1),(77,1),(81,1),(84,1),(85,1),(117,1)}
        66:{2,7}:{(47,1),(85,1)}
        67:{4,6}:{(48,1),(49,1),(86,1)}
        68:{3,5,7}:{(49,1),(51,1),(86,1),(87,1),(88,1)}
        69:{4,5}:{(50,1),(88,1),(143,1)}
        70:{3,4,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(89,1),(91,1)}
        71:{2,4,7}:{(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{3,5}:{(52,1),(53,1),(91,1),(130,1)}
        73:{2,3,6}:{(53,1),(54,1),(56,1),(89,1),(92,1),(93,1)}
        74:{1,3,7}:{(54,1),(57,1),(90,1),(93,1),(94,1),(123,1)}
        75:{1,3,4}:{(55,1),(63,1),(91,1),(95,1),(102,1),(124,1),(126,1),(130,1),(142,1)}
        76:{2,5}:{(55,1),(56,1),(95,1),(96,1)}
        77:{1,6}:{(56,1),(57,1),(96,1)}
        78:{2,6}:{(58,1),(59,1),(97,1)}
        79:{1,5,7}:{(59,1),(62,1),(97,1),(98,1),(99,1)}
        80:{2,5}:{(60,1),(61,1),(99,1)}
        81:{1,4,6}:{(61,1),(62,1),(65,1),(97,1),(99,1),(100,1),(102,1)}
        82:{2,4,7}:{(62,1),(66,1),(98,1),(100,1),(101,1),(128,1)}
        83:{2,4}:{(63,1),(64,1),(102,1)}
        84:{1,3,5}:{(64,1),(65,1),(96,1),(99,1),(102,1),(103,1),(126,1),(129,1),(130,1)}
        85:{2,6}:{(65,1),(66,1),(103,1)}
        86:{3,6}:{(67,1),(68,1),(104,1)}
        87:{2,5,7}:{(68,1),(71,1),(104,1),(105,1),(106,1)}
        88:{3,5}:{(69,1),(70,1),(106,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(104,1),(106,1),(107,1),(109,1)}
        90:{1,4,7}:{(71,1),(74,1),(105,1),(107,1),(108,1)}
        91:{3,4}:{(72,1),(109,1),(138,1)}
        92:{2,3,5}:{(72,1),(73,1),(76,1),(106,1),(109,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(77,1),(107,1),(110,1),(111,1),(134,1)}
        94:{2,7}:{(74,1),(111,1)}
        95:{2,4}:{(75,1),(76,1),(112,1),(113,1),(136,1)}
        96:{1,5}:{(76,1),(77,1),(113,1)}
        97:{1,6}:{(78,1),(79,1),(114,1)}
        98:{2,5,7}:{(79,1),(82,1),(114,1),(115,1),(116,1)}
        99:{1,5}:{(80,1),(81,1),(116,1)}
       100:{2,4,6}:{(81,1),(82,1),(85,1),(114,1),(116,1),(117,1),(118,1),(137,1),(138,1)}
       101:{3,7}:{(82,1),(117,1)}
       102:{1,4}:{(83,1),(84,1),(118,1),(138,1)}
       103:{2,5}:{(84,1),(85,1),(118,1),(136,1)}
       104:{2,6}:{(86,1),(87,1),(119,1)}
       105:{1,5,7}:{(87,1),(90,1),(119,1),(120,1),(121,1)}
       106:{2,5}:{(88,1),(89,1),(121,1)}
       107:{1,4,6}:{(89,1),(90,1),(93,1),(119,1),(121,1),(122,1),(124,1)}
       108:{2,4,7}:{(90,1),(94,1),(120,1),(122,1),(123,1),(140,1)}
       109:{2,4}:{(91,1),(92,1),(124,1)}
       110:{1,3,5}:{(92,1),(93,1),(96,1),(121,1),(124,1),(125,1),(126,1),(141,1),(142,1)}
       111:{2,6}:{(93,1),(94,1),(125,1)}
       112:{2,3}:{(95,1),(126,1),(130,1),(142,1)}
       113:{1,4}:{(95,1),(96,1),(126,1)}
       114:{2,6}:{(97,1),(98,1),(127,1)}
       115:{3,5,7}:{(98,1),(101,1),(127,1),(128,1),(129,1),(143,1)}
       116:{2,5}:{(99,1),(100,1),(129,1),(143,1)}
       117:{3,6}:{(100,1),(101,1),(129,1),(130,1)}
       118:{2,4}:{(102,1),(103,1),(130,1)}
       119:{1,6}:{(104,1),(105,1),(131,1)}
       120:{2,5,7}:{(105,1),(108,1),(131,1),(132,1),(133,1)}
       121:{1,5}:{(106,1),(107,1),(133,1)}
       122:{2,4,6}:{(107,1),(108,1),(111,1),(131,1),(133,1),(134,1),(135,1),(144,1),(145,1)}
       123:{3,7}:{(108,1),(134,1)}
       124:{1,4}:{(109,1),(110,1),(135,1),(145,1)}
       125:{2,5}:{(110,1),(111,1),(135,1),(136,1)}
       126:{1,3}:{(112,1),(113,1),(136,1)}
       127:{3,6}:{(114,1),(115,1),(137,1)}
       128:{4,7}:{(115,1),(137,1),(138,1)}
       129:{3,5}:{(116,1),(117,1),(138,1)}
       130:{3}:{(118,1)}
       131:{2,6}:{(119,1),(120,1),(139,1)}
       132:{3,5,7}:{(120,1),(123,1),(139,1),(140,1),(141,1),(146,1)}
       133:{2,5}:{(121,1),(122,1),(141,1),(146,1)}
       134:{3,6}:{(122,1),(123,1),(141,1),(142,1)}
       135:{2,4}:{(124,1),(125,1),(142,1)}
       136:{2}:{(126,1)}
       137:{4,6}:{(127,1),(128,1),(143,1)}
       138:{4}:{(129,1)}
       139:{3,6}:{(131,1),(132,1),(144,1)}
       140:{4,7}:{(132,1),(144,1),(145,1)}
       141:{3,5}:{(133,1),(134,1),(145,1)}
       142:{3}:{(135,1)}
       143:{5}:{(137,1)}
       144:{4,6}:{(139,1),(140,1),(146,1)}
       145:{4}:{(141,1)}
       146:{5}:{(144,1)}

  66 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(19,1),(21,1),(37,1),(38,1)}
        1:{1,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(28,1),(29,1),(41,1)}
        2:{3,6}:{(0,1),(9,1),(10,1),(42,1)}
        3:{2,5}:{(0,1),(7,1),(9,1),(43,1)}
        4:{2,4,7}:{(0,1),(8,1),(10,1),(11,1),(27,1),(30,1)}
        5:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(32,1),(34,1),(37,1),(44,1)}
        6:{1,3,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(45,1)}
        7:{1,5}:{(1,1),(3,1),(13,1)}
        8:{1,4,7}:{(1,1),(4,1),(14,1),(17,1),(18,1),(36,1)}
        9:{3,5}:{(2,1),(3,1),(19,1)}
       10:{3,7}:{(2,1),(4,1)}
       11:{2,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1)}
       12:{3,6}:{(5,1),(22,1),(23,1),(42,1)}
       13:{2,5}:{(5,1),(7,1),(22,1),(46,1)}
       14:{2,4,7}:{(5,1),(8,1),(23,1),(24,1),(27,1),(39,1)}
       15:{2,6}:{(6,1),(25,1),(26,1),(27,1),(47,1)}
       16:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(42,1)}
       17:{1,3,7}:{(6,1),(8,1),(10,1),(23,1),(27,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(24,1),(29,1)}
       19:{4}:{(9,1)}
       20:{3,5,7}:{(9,1),(10,1),(11,1),(30,1),(31,1),(43,1)}
       21:{2,6}:{(11,1),(29,1),(31,1)}
       22:{3,5}:{(12,1),(13,1),(32,1)}
       23:{3,7}:{(12,1),(14,1)}
       24:{2,5,7}:{(13,1),(14,1),(18,1),(33,1),(34,1)}
       25:{1,6}:{(15,1),(35,1),(36,1),(48,1)}
       26:{2,5}:{(15,1),(16,1),(35,1),(37,1)}
       27:{2,7}:{(15,1),(17,1),(36,1)}
       28:{1,4}:{(16,1),(19,1),(32,1),(37,1),(48,1)}
       29:{1,6}:{(18,1),(21,1),(34,1)}
       30:{4,7}:{(19,1),(20,1),(38,1)}
       31:{3,6}:{(20,1),(21,1),(38,1)}
       32:{4}:{(22,1)}
       33:{3,5,7}:{(22,1),(23,1),(24,1),(39,1),(40,1),(46,1)}
       34:{2,6}:{(24,1),(29,1),(40,1)}
       35:{1,5}:{(25,1),(26,1),(41,1)}
       36:{1,7}:{(25,1),(27,1)}
       37:{2,4}:{(26,1),(28,1),(41,1),(42,1),(47,1)}
       38:{4,6}:{(30,1),(31,1),(43,1)}
       39:{4,7}:{(32,1),(33,1),(44,1)}
       40:{3,6}:{(33,1),(34,1),(44,1)}
       41:{1,4}:{(35,1),(37,1),(45,1)}
       42:{3}:{(37,1)}
       43:{5}:{(38,1)}
       44:{4,6}:{(39,1),(40,1),(46,1)}
       45:{1,3}:{(41,1),(42,1),(47,1)}
       46:{5}:{(44,1)}
       47:{2}:{(45,1),(48,1)}
       48:{1}:{(47,1)}

  67 :  0:{2,4,7}:{(1,1),(2,1),(3,1),(4,1),(16,1),(20,1)}
        1:{1,4,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(27,1)}
        2:{3,7}:{(0,1),(10,1)}
        3:{2,5,7}:{(0,1),(7,1),(9,1),(11,1),(12,1)}
        4:{2,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(28,1),(30,1),(31,1),(42,1)}
        5:{2,4,7}:{(1,1),(13,1),(14,1),(15,1),(16,1),(32,1)}
        6:{1,3,7}:{(1,1),(2,1),(13,1),(16,1),(17,1)}
        7:{1,5,7}:{(1,1),(3,1),(14,1),(18,1),(19,1)}
        8:{1,4,6}:{(1,1),(4,1),(15,1),(17,1),(18,1),(19,1),(35,1),(37,1),(44,1)}
        9:{3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(38,1)}
       10:{3,6}:{(2,1),(4,1),(22,1),(45,1)}
       11:{2,6}:{(3,1),(18,1),(21,1)}
       12:{2,5}:{(4,1),(19,1),(22,1),(38,1)}
       13:{3,7}:{(5,1),(24,1)}
       14:{2,5,7}:{(5,1),(7,1),(23,1),(25,1),(26,1)}
       15:{2,4,6}:{(5,1),(8,1),(24,1),(25,1),(26,1),(28,1),(39,1),(40,1),(42,1)}
       16:{2,7}:{(6,1),(27,1),(28,1)}
       17:{1,3,6}:{(6,1),(8,1),(10,1),(24,1),(28,1),(29,1),(46,1)}
       18:{1,6}:{(7,1),(11,1),(25,1)}
       19:{1,5}:{(8,1),(12,1),(26,1)}
       20:{4,7}:{(9,1),(30,1),(31,1)}
       21:{3,6}:{(9,1),(11,1),(30,1)}
       22:{3,5}:{(10,1),(12,1),(31,1)}
       23:{3,5,7}:{(13,1),(14,1),(32,1),(33,1),(34,1),(43,1)}
       24:{3,6}:{(13,1),(15,1),(34,1),(45,1)}
       25:{2,6}:{(14,1),(18,1),(33,1)}
       26:{2,5}:{(15,1),(19,1),(34,1),(43,1)}
       27:{1,7}:{(16,1),(35,1)}
       28:{2,6}:{(16,1),(17,1),(35,1),(36,1),(47,1)}
       29:{1,3,5}:{(17,1),(19,1),(22,1),(34,1),(36,1),(37,1),(45,1)}
       30:{4,6}:{(20,1),(21,1),(38,1)}
       31:{4}:{(22,1)}
       32:{4,7}:{(23,1),(39,1),(40,1)}
       33:{3,6}:{(23,1),(25,1),(39,1)}
       34:{3,5}:{(24,1),(26,1),(40,1)}
       35:{1,6}:{(27,1),(28,1),(41,1),(48,1)}
       36:{2,5}:{(28,1),(29,1),(41,1),(42,1)}
       37:{1,4}:{(29,1),(31,1),(40,1),(42,1),(48,1)}
       38:{5}:{(30,1)}
       39:{4,6}:{(32,1),(33,1),(43,1)}
       40:{4}:{(34,1)}
       41:{1,5}:{(35,1),(36,1),(44,1)}
       42:{2,4}:{(36,1),(37,1),(44,1),(45,1),(47,1)}
       43:{5}:{(39,1)}
       44:{1,4}:{(41,1),(42,1),(46,1)}
       45:{3}:{(42,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  68 :   0:{3,4,6}:{(1,1),(2,1),(3,1),(20,1),(23,1),(44,1),(54,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(27,1),(37,1)}
         2:{3,5}:{(0,1),(6,1),(9,1)}
         3:{3,4,7}:{(0,1),(7,1),(10,1),(38,1),(72,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(54,1),(85,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(43,1),(53,1)}
         6:{2,5}:{(1,1),(2,1),(15,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(16,1),(19,1)}
         8:{3,5,6}:{(2,1),(17,1),(20,1),(21,1),(23,1),(54,1),(58,1),(136,1),(144,1),(146,1)}
         9:{4,5}:{(2,1),(20,1),(146,1)}
        10:{3,5,7}:{(2,1),(3,1),(19,1),(22,1),(23,1)}
        11:{1,3,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(28,1),(99,1)}
        12:{2,3,5}:{(4,1),(6,1),(25,1),(27,1),(36,1),(71,1),(88,1)}
        13:{2,3,7}:{(4,1),(7,1),(26,1),(72,1),(100,1)}
        14:{2,4,6}:{(5,1),(24,1),(28,1),(29,1),(30,1),(59,1),(62,1),(67,1),(95,1)}
        15:{1,5}:{(5,1),(6,1),(29,1)}
        16:{1,4,7}:{(5,1),(7,1),(26,1),(30,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(31,1),(34,1),(35,1),(37,1),(131,1),(142,1)}
        18:{2,4,5}:{(6,1),(9,1),(27,1),(32,1),(34,1),(36,1),(71,1),(120,1),(131,1),(140,1)}
        19:{2,5,7}:{(6,1),(7,1),(10,1),(33,1),(37,1)}
        20:{4,6}:{(8,1),(9,1),(38,1),(140,1)}
        21:{3,5,7}:{(8,1),(35,1),(38,1),(39,1),(72,1),(73,1)}
        22:{4,5,7}:{(9,1),(10,1),(38,1),(40,1),(73,1)}
        23:{3,6}:{(10,1),(37,1),(40,1)}
        24:{2,6}:{(11,1),(41,1),(42,1)}
        25:{1,3,5}:{(11,1),(12,1),(15,1),(41,1),(43,1),(45,1),(74,1),(87,1),(101,1)}
        26:{1,3,7}:{(11,1),(13,1),(16,1),(42,1),(46,1),(112,1)}
        27:{2,4}:{(12,1),(43,1),(44,1)}
        28:{3,6}:{(14,1),(45,1),(46,1),(74,1)}
        29:{2,5}:{(14,1),(15,1),(45,1),(108,1)}
        30:{2,4,7}:{(14,1),(16,1),(42,1),(46,1),(49,1),(79,1)}
        31:{1,5,6}:{(15,1),(17,1),(47,1),(50,1),(51,1),(53,1),(123,1),(138,1)}
        32:{1,4,5}:{(15,1),(18,1),(43,1),(48,1),(50,1),(52,1),(87,1),(107,1),(123,1)}
        33:{1,5,7}:{(15,1),(16,1),(19,1),(49,1),(53,1)}
        34:{2,4,6}:{(17,1),(18,1),(20,1),(50,1),(54,1),(55,1),(85,1)}
        35:{2,5,7}:{(17,1),(21,1),(51,1),(55,1),(56,1)}
        36:{3,5}:{(18,1),(44,1),(54,1),(129,1)}
        37:{2,6}:{(19,1),(23,1),(53,1)}
        38:{4,7}:{(20,1),(21,1)}
        39:{3,6,7}:{(21,1),(23,1),(56,1),(57,1),(144,1)}
        40:{4,6}:{(22,1),(23,1),(58,1)}
        41:{2,5}:{(24,1),(25,1),(59,1),(113,1)}
        42:{2,7}:{(24,1),(26,1)}
        43:{1,4}:{(25,1),(27,1),(59,1),(62,1)}
        44:{3,4}:{(27,1),(36,1),(140,1)}
        45:{3,5}:{(28,1),(29,1),(62,1)}
        46:{3,7}:{(28,1),(30,1)}
        47:{2,5,6}:{(29,1),(31,1),(61,1),(64,1),(65,1),(67,1),(114,1),(133,1)}
        48:{2,4,5}:{(29,1),(32,1),(59,1),(62,1),(64,1),(66,1),(71,1),(90,1),(94,1),(114,1)}
        49:{2,5,7}:{(29,1),(30,1),(33,1),(63,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(34,1),(64,1),(68,1),(69,1),(99,1)}
        51:{1,5,7}:{(31,1),(35,1),(65,1),(69,1),(70,1)}
        52:{1,3,5}:{(32,1),(36,1),(60,1),(66,1),(68,1),(71,1)}
        53:{1,6}:{(33,1),(37,1),(67,1)}
        54:{3,6}:{(34,1),(36,1),(72,1)}
        55:{2,4,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(100,1)}
        56:{2,6,7}:{(35,1),(37,1),(39,1),(70,1),(142,1)}
        57:{4,6,7}:{(38,1),(39,1),(40,1),(73,1),(145,1)}
        58:{5,6}:{(40,1),(73,1)}
        59:{2,4}:{(41,1),(43,1),(74,1)}
        60:{1,3,4}:{(43,1),(44,1),(52,1),(74,1),(75,1),(78,1),(101,1),(107,1),(129,1)}
        61:{3,5,6}:{(45,1),(47,1),(76,1),(77,1),(80,1),(81,1),(102,1),(108,1),(125,1),(126,1)}
        62:{4}:{(45,1)}
        63:{3,5,7}:{(45,1),(46,1),(49,1),(79,1),(80,1),(108,1)}
        64:{2,4,6}:{(47,1),(48,1),(50,1),(76,1),(81,1),(82,1),(85,1)}
        65:{2,5,7}:{(47,1),(51,1),(77,1),(82,1),(83,1)}
        66:{3,5}:{(48,1),(74,1),(78,1),(81,1)}
        67:{2,6}:{(49,1),(53,1),(80,1)}
        68:{1,3,6}:{(50,1),(52,1),(54,1),(81,1),(85,1),(86,1)}
        69:{1,4,7}:{(50,1),(51,1),(55,1),(82,1),(86,1),(112,1)}
        70:{1,6,7}:{(51,1),(53,1),(56,1),(83,1),(138,1)}
        71:{2,5}:{(52,1),(75,1),(85,1),(87,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{5,7}:{(57,1),(58,1),(146,1)}
        74:{3}:{(59,1)}
        75:{2,4}:{(60,1),(71,1),(88,1),(89,1),(113,1)}
        76:{4,6}:{(61,1),(62,1),(90,1),(92,1)}
        77:{3,5,7}:{(61,1),(65,1),(92,1),(93,1),(97,1),(119,1)}
        78:{3,4}:{(62,1),(66,1),(94,1)}
        79:{4,7}:{(62,1),(63,1),(95,1)}
        80:{3,6}:{(63,1),(67,1),(95,1)}
        81:{3,6}:{(64,1),(66,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(69,1),(92,1),(97,1),(100,1)}
        83:{2,6,7}:{(65,1),(67,1),(70,1),(93,1),(133,1)}
        84:{2,3,5}:{(66,1),(71,1),(88,1),(94,1),(96,1),(98,1),(114,1)}
        85:{2,6}:{(68,1),(71,1),(99,1),(100,1)}
        86:{1,3,7}:{(68,1),(69,1),(72,1),(97,1),(100,1)}
        87:{1,5}:{(71,1),(89,1),(99,1)}
        88:{2,3}:{(74,1),(75,1),(101,1),(129,1)}
        89:{1,4}:{(75,1),(87,1),(101,1)}
        90:{4,5}:{(76,1),(102,1),(108,1)}
        91:{3,4,6}:{(76,1),(78,1),(81,1),(102,1),(104,1),(105,1),(125,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,6,7}:{(77,1),(80,1),(83,1),(106,1),(125,1)}
        94:{2,4}:{(78,1),(84,1),(107,1)}
        95:{4,6}:{(79,1),(80,1),(108,1)}
        96:{2,3,6}:{(81,1),(84,1),(85,1),(104,1),(109,1),(110,1)}
        97:{3,7}:{(81,1),(82,1)}
        98:{1,3,5}:{(84,1),(87,1),(101,1),(107,1),(109,1),(111,1),(123,1),(129,1),(136,1)}
        99:{1,6}:{(85,1),(87,1),(112,1)}
       100:{2,7}:{(85,1),(86,1),(112,1)}
       101:{1,3}:{(88,1),(89,1),(113,1)}
       102:{3,5}:{(90,1),(91,1),(114,1)}
       103:{4,5,7}:{(90,1),(92,1),(115,1),(116,1),(119,1)}
       104:{2,4,6}:{(91,1),(94,1),(96,1),(114,1),(117,1),(118,1),(133,1)}
       105:{3,4,7}:{(91,1),(92,1),(97,1),(115,1),(118,1)}
       106:{4,6,7}:{(92,1),(93,1),(95,1),(116,1),(119,1)}
       107:{1,4}:{(94,1),(98,1),(120,1),(140,1)}
       108:{5}:{(95,1)}
       109:{1,3,6}:{(96,1),(98,1),(99,1),(117,1),(121,1),(122,1),(134,1)}
       110:{2,3,7}:{(96,1),(97,1),(100,1),(118,1),(122,1)}
       111:{2,5}:{(98,1),(113,1),(120,1),(121,1)}
       112:{1,7}:{(99,1),(100,1)}
       113:{2}:{(101,1)}
       114:{2,5}:{(102,1),(104,1),(123,1)}
       115:{3,5,7}:{(102,1),(103,1),(105,1),(124,1),(125,1)}
       116:{4,6}:{(103,1),(125,1),(126,1)}
       117:{1,4,6}:{(104,1),(107,1),(109,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(104,1),(105,1),(110,1),(124,1),(128,1)}
       119:{5,7}:{(106,1),(108,1),(126,1)}
       120:{2,4}:{(107,1),(111,1),(129,1)}
       121:{2,6}:{(109,1),(111,1),(130,1)}
       122:{1,3,7}:{(109,1),(110,1),(112,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  69 :   0:{3,4,7}:{(1,1),(2,1),(3,1),(51,1),(78,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1)}
         3:{3,4,6}:{(0,1),(7,1),(9,1),(10,1),(36,1),(54,1),(65,1)}
         4:{2,3,7}:{(1,1),(11,1),(12,1),(78,1),(102,1)}
         5:{1,4,7}:{(1,1),(11,1),(13,1),(14,1),(15,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1)}
         7:{2,4,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(17,1),(39,1)}
         8:{4,5,7}:{(2,1),(18,1),(21,1),(50,1),(51,1)}
         9:{3,6}:{(2,1),(16,1),(18,1)}
        10:{3,5}:{(3,1),(17,1),(21,1)}
        11:{1,3,7}:{(4,1),(5,1),(22,1),(23,1),(25,1),(114,1)}
        12:{2,3,6}:{(4,1),(7,1),(23,1),(24,1),(65,1),(90,1)}
        13:{2,4,7}:{(5,1),(22,1),(25,1),(26,1),(27,1),(55,1)}
        14:{1,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1)}
        15:{1,4,6}:{(5,1),(7,1),(23,1),(27,1),(28,1),(29,1),(53,1)}
        16:{2,6}:{(6,1),(9,1),(28,1)}
        17:{2,5}:{(7,1),(10,1),(29,1)}
        18:{4,6}:{(8,1),(9,1),(34,1)}
        19:{3,6,7}:{(9,1),(30,1),(33,1),(35,1),(143,1)}
        20:{3,5,6}:{(9,1),(10,1),(31,1),(34,1),(35,1),(36,1),(65,1),(138,1),(143,1),(146,1)}
        21:{4,5}:{(10,1),(36,1),(146,1)}
        22:{2,7}:{(11,1),(37,1)}
        23:{1,3,6}:{(11,1),(12,1),(15,1),(37,1),(38,1),(41,1),(103,1)}
        24:{2,3,5}:{(12,1),(17,1),(38,1),(39,1),(49,1),(77,1),(92,1)}
        25:{3,7}:{(13,1),(41,1)}
        26:{2,5,7}:{(13,1),(14,1),(40,1),(42,1),(43,1)}
        27:{2,4,6}:{(13,1),(15,1),(37,1),(41,1),(42,1),(43,1),(66,1),(68,1),(71,1)}
        28:{1,6}:{(14,1),(16,1),(42,1)}
        29:{1,5}:{(15,1),(17,1),(43,1)}
        30:{2,6,7}:{(16,1),(19,1),(44,1),(47,1),(140,1)}
        31:{2,5,6}:{(16,1),(17,1),(20,1),(45,1),(47,1),(48,1),(133,1),(140,1)}
        32:{2,4,5}:{(17,1),(21,1),(39,1),(46,1),(48,1),(49,1),(77,1),(121,1),(133,1),(142,1)}
        33:{4,6,7}:{(18,1),(19,1),(50,1),(51,1),(145,1)}
        34:{5,6}:{(18,1),(50,1)}
        35:{3,5,7}:{(19,1),(20,1),(47,1),(50,1),(51,1),(78,1)}
        36:{4,6}:{(20,1),(21,1),(51,1),(142,1)}
        37:{2,6}:{(22,1),(23,1),(52,1)}
        38:{1,3,5}:{(23,1),(24,1),(29,1),(52,1),(53,1),(57,1),(79,1),(91,1),(104,1)}
        39:{2,4}:{(24,1),(53,1),(54,1)}
        40:{3,5,7}:{(25,1),(26,1),(55,1),(56,1),(57,1),(82,1)}
        41:{3,6}:{(25,1),(27,1),(57,1),(79,1)}
        42:{2,6}:{(26,1),(28,1),(56,1)}
        43:{2,5}:{(27,1),(29,1),(57,1),(82,1)}
        44:{1,6,7}:{(28,1),(30,1),(58,1),(61,1),(136,1)}
        45:{1,5,6}:{(28,1),(29,1),(31,1),(59,1),(61,1),(62,1),(126,1),(136,1)}
        46:{1,4,5}:{(29,1),(32,1),(53,1),(60,1),(62,1),(63,1),(91,1),(110,1),(126,1)}
        47:{2,5,7}:{(30,1),(31,1),(35,1),(61,1),(64,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(62,1),(64,1),(65,1),(90,1)}
        49:{3,5}:{(32,1),(54,1),(65,1),(129,1)}
        50:{5,7}:{(33,1),(34,1),(146,1)}
        51:{4,7}:{(35,1),(36,1)}
        52:{2,5}:{(37,1),(38,1),(66,1),(115,1)}
        53:{1,4}:{(38,1),(39,1),(66,1),(71,1)}
        54:{3,4}:{(39,1),(49,1),(142,1)}
        55:{4,7}:{(40,1),(68,1),(71,1)}
        56:{3,6}:{(40,1),(42,1),(68,1)}
        57:{3,5}:{(41,1),(43,1),(71,1)}
        58:{2,6,7}:{(42,1),(44,1),(69,1),(72,1),(131,1)}
        59:{2,5,6}:{(42,1),(43,1),(45,1),(70,1),(72,1),(73,1),(118,1),(131,1)}
        60:{2,4,5}:{(43,1),(46,1),(66,1),(71,1),(73,1),(74,1),(77,1),(95,1),(98,1),(118,1)}
        61:{1,5,7}:{(44,1),(45,1),(47,1),(72,1),(75,1)}
        62:{1,4,6}:{(45,1),(46,1),(48,1),(73,1),(75,1),(76,1),(103,1)}
        63:{1,3,5}:{(46,1),(49,1),(67,1),(74,1),(76,1),(77,1)}
        64:{2,4,7}:{(47,1),(48,1),(51,1),(75,1),(78,1),(102,1)}
        65:{3,6}:{(48,1),(49,1),(78,1)}
        66:{2,4}:{(52,1),(53,1),(79,1)}
        67:{1,3,4}:{(53,1),(54,1),(63,1),(79,1),(80,1),(85,1),(104,1),(110,1),(129,1)}
        68:{4,6}:{(55,1),(56,1),(82,1)}
        69:{3,6,7}:{(56,1),(58,1),(81,1),(83,1),(124,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(82,1),(83,1),(84,1),(87,1),(105,1),(107,1),(124,1)}
        71:{4}:{(57,1)}
        72:{2,5,7}:{(58,1),(59,1),(61,1),(83,1),(86,1)}
        73:{2,4,6}:{(59,1),(60,1),(62,1),(84,1),(86,1),(87,1),(90,1)}
        74:{3,5}:{(60,1),(79,1),(85,1),(87,1)}
        75:{1,4,7}:{(61,1),(62,1),(64,1),(86,1),(89,1),(114,1)}
        76:{1,3,6}:{(62,1),(63,1),(65,1),(87,1),(89,1),(90,1)}
        77:{2,5}:{(63,1),(80,1),(90,1),(91,1)}
        78:{3,7}:{(64,1),(65,1)}
        79:{3}:{(66,1)}
        80:{2,4}:{(67,1),(77,1),(92,1),(93,1),(115,1)}
        81:{4,6,7}:{(68,1),(69,1),(94,1),(96,1),(116,1)}
        82:{5}:{(68,1)}
        83:{3,5,7}:{(69,1),(70,1),(72,1),(94,1),(96,1),(99,1)}
        84:{4,6}:{(70,1),(71,1),(95,1),(96,1)}
        85:{3,4}:{(71,1),(74,1),(98,1)}
        86:{2,4,7}:{(72,1),(73,1),(75,1),(96,1),(99,1),(102,1)}
        87:{3,6}:{(73,1),(74,1),(99,1)}
        88:{2,3,5}:{(74,1),(77,1),(92,1),(98,1),(100,1),(101,1),(118,1)}
        89:{1,3,7}:{(75,1),(76,1),(78,1),(99,1),(102,1)}
        90:{2,6}:{(76,1),(77,1),(102,1),(103,1)}
        91:{1,5}:{(77,1),(93,1),(103,1)}
        92:{2,3}:{(79,1),(80,1),(104,1),(129,1)}
        93:{1,4}:{(80,1),(91,1),(104,1)}
        94:{5,7}:{(81,1),(82,1),(105,1)}
        95:{4,5}:{(82,1),(84,1),(107,1)}
        96:{4,7}:{(83,1),(84,1)}
        97:{3,4,6}:{(84,1),(85,1),(87,1),(107,1),(108,1),(109,1),(124,1)}
        98:{2,4}:{(85,1),(88,1),(110,1)}
        99:{3,7}:{(86,1),(87,1)}
       100:{2,3,6}:{(87,1),(88,1),(90,1),(109,1),(111,1),(112,1)}
       101:{1,3,5}:{(88,1),(91,1),(104,1),(110,1),(112,1),(113,1),(126,1),(129,1),(138,1)}
       102:{2,7}:{(89,1),(90,1),(114,1)}
       103:{1,6}:{(90,1),(91,1),(114,1)}
       104:{1,3}:{(92,1),(93,1),(115,1)}
       105:{5,6}:{(94,1),(116,1)}
       106:{4,5,7}:{(94,1),(95,1),(96,1),(116,1),(117,1)}
       107:{3,5}:{(95,1),(97,1),(118,1)}
       108:{3,4,7}:{(96,1),(97,1),(99,1),(117,1),(119,1)}
       109:{2,4,6}:{(97,1),(98,1),(100,1),(118,1),(119,1),(120,1),(131,1)}
       110:{1,4}:{(98,1),(101,1),(121,1),(142,1)}
       111:{2,3,7}:{(99,1),(100,1),(102,1),(119,1),(122,1)}
       112:{1,3,6}:{(100,1),(101,1),(103,1),(120,1),(122,1),(123,1),(135,1)}
       113:{2,5}:{(101,1),(115,1),(121,1),(123,1)}
       114:{1,7}:{(102,1),(103,1)}
       115:{2}:{(104,1)}
       116:{4,6}:{(105,1),(106,1),(124,1)}
       117:{3,5,7}:{(106,1),(107,1),(108,1),(124,1),(125,1)}
       118:{2,5}:{(107,1),(109,1),(126,1)}
       119:{2,4,7}:{(108,1),(109,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(109,1),(110,1),(112,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(110,1),(113,1),(129,1)}
       122:{1,3,7}:{(111,1),(112,1),(114,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(112,1),(113,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  70 :  0:{4,5}:{(2,1),(3,1)}
        1:{3,4}:{(2,1),(4,1)}
        2:{3,5}:{(0,1),(1,1),(6,1),(7,1)}
        3:{4,6}:{(0,1),(7,1),(8,1),(9,1)}
        4:{2,4}:{(1,1),(5,1),(6,1),(10,1)}
        5:{2,3}:{(4,1),(11,1)}
        6:{2,5}:{(2,1),(4,1),(12,1),(13,1)}
        7:{3,6}:{(2,1),(3,1),(13,1),(14,1)}
        8:{5,6}:{(3,1),(15,1)}
        9:{4,7}:{(3,1),(14,1),(15,1)}
       10:{1,4}:{(4,1),(11,1),(12,1),(16,1)}
       11:{1,3}:{(5,1),(10,1),(17,1),(22,1)}
       12:{1,5}:{(6,1),(10,1),(18,1),(19,1)}
       13:{2,6}:{(6,1),(7,1),(19,1),(20,1)}
       14:{3,7}:{(7,1),(9,1),(20,1)}
       15:{5,7}:{(8,1),(9,1),(21,1)}
       16:{2,4}:{(10,1),(17,1),(18,1),(22,1),(26,1)}
       17:{2}:{(11,1)}
       18:{2,5}:{(12,1),(16,1),(23,1),(24,1)}
       19:{1,6}:{(12,1),(13,1),(24,1),(25,1)}
       20:{2,7}:{(13,1),(14,1),(25,1)}
       21:{6,7}:{(15,1)}
       22:{3}:{(16,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  71 :   0:{3,5,6}:{(1,1),(2,1),(3,1),(15,1),(18,1),(54,1),(55,1),(134,1),(144,1),(146,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(33,1),(75,1),(126,1),(142,1)}
         2:{4,6}:{(0,1),(7,1),(9,1),(140,1)}
         3:{3,5,7}:{(0,1),(6,1),(9,1),(10,1),(32,1),(38,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(13,1),(52,1),(95,1),(113,1),(136,1)}
         5:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(46,1)}
         6:{2,5,7}:{(1,1),(3,1),(13,1),(16,1),(17,1)}
         7:{4,5}:{(2,1),(18,1),(146,1)}
         8:{3,4,6}:{(2,1),(15,1),(18,1),(20,1),(21,1),(48,1),(54,1)}
         9:{4,7}:{(2,1),(3,1)}
        10:{3,6,7}:{(3,1),(17,1),(22,1),(54,1),(144,1)}
        11:{2,5,6}:{(4,1),(23,1),(24,1),(25,1),(73,1),(97,1),(112,1),(128,1)}
        12:{1,4,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(67,1)}
        13:{1,5,7}:{(4,1),(6,1),(25,1),(28,1),(29,1)}
        14:{2,4,5}:{(5,1),(7,1),(26,1),(30,1),(33,1),(66,1),(69,1),(126,1),(131,1),(140,1)}
        15:{3,6}:{(5,1),(30,1),(32,1)}
        16:{2,4,7}:{(5,1),(6,1),(9,1),(28,1),(32,1),(68,1)}
        17:{2,6,7}:{(6,1),(10,1),(29,1),(75,1),(142,1)}
        18:{3,5}:{(7,1),(8,1),(33,1)}
        19:{4,5,7}:{(7,1),(9,1),(34,1),(35,1),(38,1)}
        20:{2,4,6}:{(8,1),(31,1),(33,1),(36,1),(37,1),(69,1),(75,1)}
        21:{3,4,7}:{(8,1),(9,1),(32,1),(34,1),(37,1)}
        22:{4,6,7}:{(9,1),(10,1),(35,1),(38,1),(145,1)}
        23:{3,5,6}:{(11,1),(39,1),(40,1),(42,1),(78,1),(93,1),(115,1),(116,1),(125,1),(139,1)}
        24:{2,4,6}:{(11,1),(12,1),(39,1),(41,1),(42,1),(43,1),(46,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(43,1),(44,1)}
        26:{1,4,5}:{(12,1),(14,1),(41,1),(45,1),(52,1),(88,1),(90,1),(113,1),(119,1)}
        27:{1,3,6}:{(12,1),(15,1),(42,1),(45,1),(46,1),(47,1)}
        28:{1,4,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(89,1)}
        29:{1,6,7}:{(13,1),(17,1),(44,1),(95,1),(136,1)}
        30:{3,5}:{(14,1),(15,1),(48,1),(138,1)}
        31:{2,3,6}:{(15,1),(20,1),(46,1),(49,1),(50,1),(51,1)}
        32:{3,7}:{(15,1),(16,1)}
        33:{2,5}:{(18,1),(20,1),(52,1)}
        34:{3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1)}
        35:{4,6}:{(19,1),(54,1),(55,1)}
        36:{1,4,6}:{(20,1),(50,1),(52,1),(56,1),(57,1),(90,1),(95,1)}
        37:{2,4,7}:{(20,1),(21,1),(51,1),(53,1),(57,1)}
        38:{5,7}:{(22,1),(55,1),(146,1)}
        39:{4,6}:{(23,1),(58,1),(60,1),(110,1)}
        40:{3,5,7}:{(23,1),(25,1),(60,1),(61,1),(64,1),(102,1)}
        41:{2,4,5}:{(24,1),(26,1),(58,1),(62,1),(66,1),(73,1),(97,1),(103,1),(109,1),(110,1)}
        42:{3,6}:{(24,1),(62,1),(64,1)}
        43:{2,4,7}:{(24,1),(25,1),(28,1),(60,1),(64,1),(68,1)}
        44:{2,6,7}:{(25,1),(29,1),(61,1),(112,1),(128,1)}
        45:{1,3,5}:{(26,1),(27,1),(30,1),(62,1),(65,1),(66,1)}
        46:{2,6}:{(27,1),(66,1),(67,1),(68,1)}
        47:{1,3,7}:{(27,1),(28,1),(32,1),(64,1),(68,1)}
        48:{3,4}:{(30,1),(69,1),(140,1)}
        49:{2,3,5}:{(30,1),(31,1),(33,1),(66,1),(69,1),(70,1),(107,1)}
        50:{1,3,6}:{(31,1),(36,1),(67,1),(70,1),(71,1),(72,1),(76,1)}
        51:{2,3,7}:{(31,1),(32,1),(37,1),(68,1),(72,1)}
        52:{1,5}:{(33,1),(36,1),(73,1)}
        53:{2,5,7}:{(33,1),(34,1),(37,1),(74,1),(75,1)}
        54:{3,6}:{(34,1),(35,1),(75,1)}
        55:{5,6}:{(35,1),(38,1)}
        56:{2,4,6}:{(36,1),(71,1),(73,1),(76,1),(77,1),(109,1),(110,1),(112,1),(133,1)}
        57:{1,4,7}:{(36,1),(37,1),(72,1),(74,1),(77,1)}
        58:{4,5}:{(39,1),(78,1),(139,1)}
        59:{3,4,6}:{(39,1),(42,1),(78,1),(80,1),(81,1),(83,1),(115,1)}
        60:{4,7}:{(39,1),(40,1)}
        61:{3,6,7}:{(40,1),(44,1),(82,1),(115,1),(125,1)}
        62:{3,5}:{(41,1),(42,1),(83,1),(123,1)}
        63:{2,3,6}:{(42,1),(46,1),(80,1),(84,1),(85,1),(86,1)}
        64:{3,7}:{(42,1),(43,1)}
        65:{1,3,4}:{(45,1),(48,1),(83,1),(87,1),(90,1),(119,1),(122,1),(123,1),(138,1)}
        66:{2,5}:{(45,1),(46,1),(87,1),(88,1)}
        67:{1,6}:{(46,1),(88,1),(89,1)}
        68:{2,7}:{(46,1),(47,1),(89,1)}
        69:{2,4}:{(48,1),(49,1),(90,1)}
        70:{1,3,5}:{(49,1),(50,1),(52,1),(88,1),(90,1),(91,1),(93,1),(122,1),(123,1)}
        71:{2,6}:{(50,1),(91,1),(92,1)}
        72:{1,3,7}:{(50,1),(51,1),(57,1),(89,1),(92,1),(96,1)}
        73:{2,5}:{(52,1),(56,1),(93,1),(139,1)}
        74:{1,5,7}:{(52,1),(53,1),(57,1),(94,1),(95,1)}
        75:{2,6}:{(53,1),(54,1),(95,1)}
        76:{3,6}:{(56,1),(93,1),(96,1),(123,1)}
        77:{2,4,7}:{(56,1),(57,1),(92,1),(94,1),(96,1),(124,1)}
        78:{3,5}:{(58,1),(59,1),(97,1)}
        79:{4,5,7}:{(58,1),(60,1),(98,1),(99,1),(102,1)}
        80:{2,4,6}:{(59,1),(63,1),(97,1),(100,1),(101,1),(103,1),(128,1)}
        81:{3,4,7}:{(59,1),(60,1),(64,1),(98,1),(101,1)}
        82:{4,6,7}:{(60,1),(61,1),(99,1),(102,1),(133,1)}
        83:{3,4}:{(62,1),(103,1),(110,1)}
        84:{2,3,5}:{(62,1),(63,1),(66,1),(97,1),(103,1),(104,1),(107,1)}
        85:{1,3,6}:{(63,1),(67,1),(100,1),(104,1),(105,1),(106,1),(129,1)}
        86:{2,3,7}:{(63,1),(64,1),(68,1),(101,1),(106,1)}
        87:{2,4}:{(65,1),(66,1),(107,1),(108,1),(132,1)}
        88:{1,5}:{(66,1),(67,1),(108,1)}
        89:{1,7}:{(67,1),(68,1)}
        90:{1,4}:{(69,1),(70,1),(109,1),(110,1)}
        91:{2,5}:{(70,1),(71,1),(109,1),(132,1)}
        92:{2,7}:{(71,1),(72,1)}
        93:{3,5}:{(73,1),(76,1),(110,1)}
        94:{2,5,7}:{(73,1),(74,1),(77,1),(111,1),(112,1)}
        95:{1,6}:{(74,1),(75,1),(112,1)}
        96:{3,7}:{(76,1),(77,1)}
        97:{2,5}:{(78,1),(80,1),(113,1)}
        98:{3,5,7}:{(78,1),(79,1),(81,1),(114,1),(115,1)}
        99:{4,6}:{(79,1),(115,1),(116,1)}
       100:{1,4,6}:{(80,1),(85,1),(113,1),(117,1),(118,1),(119,1),(136,1)}
       101:{2,4,7}:{(80,1),(81,1),(86,1),(114,1),(118,1)}
       102:{5,7}:{(82,1),(116,1),(139,1)}
       103:{2,4}:{(83,1),(84,1),(119,1)}
       104:{1,3,5}:{(84,1),(85,1),(88,1),(113,1),(119,1),(120,1),(122,1),(134,1),(138,1)}
       105:{2,6}:{(85,1),(120,1),(121,1)}
       106:{1,3,7}:{(85,1),(86,1),(89,1),(118,1),(121,1),(137,1)}
       107:{2,3}:{(87,1),(122,1),(123,1),(138,1)}
       108:{1,4}:{(87,1),(88,1),(122,1)}
       109:{2,4}:{(90,1),(91,1),(123,1)}
       110:{4}:{(93,1)}
       111:{3,5,7}:{(93,1),(94,1),(96,1),(124,1),(125,1),(139,1)}
       112:{2,6}:{(94,1),(95,1),(125,1)}
       113:{1,5}:{(97,1),(100,1),(126,1)}
       114:{2,5,7}:{(97,1),(98,1),(101,1),(127,1),(128,1)}
       115:{3,6}:{(98,1),(99,1),(128,1)}
       116:{5,6}:{(99,1),(102,1)}
       117:{2,4,6}:{(100,1),(105,1),(126,1),(129,1),(130,1),(131,1),(140,1),(142,1),(145,1)}
       118:{1,4,7}:{(100,1),(101,1),(106,1),(127,1),(130,1)}
       119:{1,4}:{(103,1),(104,1),(131,1),(140,1)}
       120:{2,5}:{(104,1),(105,1),(131,1),(132,1)}
       121:{2,7}:{(105,1),(106,1)}
       122:{1,3}:{(107,1),(108,1),(132,1)}
       123:{3}:{(109,1)}
       124:{4,7}:{(110,1),(111,1),(133,1)}
       125:{3,6}:{(111,1),(112,1),(133,1)}
       126:{2,5}:{(113,1),(117,1),(134,1),(146,1)}
       127:{1,5,7}:{(113,1),(114,1),(118,1),(135,1),(136,1)}
       128:{2,6}:{(114,1),(115,1),(136,1)}
       129:{3,6}:{(117,1),(134,1),(137,1),(138,1)}
       130:{2,4,7}:{(117,1),(118,1),(121,1),(135,1),(137,1),(143,1)}
       131:{2,4}:{(119,1),(120,1),(138,1)}
       132:{2}:{(122,1)}
       133:{4,6}:{(124,1),(125,1),(139,1)}
       134:{3,5}:{(126,1),(129,1),(140,1)}
       135:{2,5,7}:{(126,1),(127,1),(130,1),(141,1),(142,1)}
       136:{1,6}:{(127,1),(128,1),(142,1)}
       137:{3,7}:{(129,1),(130,1)}
       138:{3}:{(131,1)}
       139:{5}:{(133,1)}
       140:{4}:{(134,1)}
       141:{3,5,7}:{(134,1),(135,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(135,1),(136,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  72 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(11,1),(13,1),(28,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1)}
        2:{4,7}:{(0,1),(7,1),(35,1)}
        3:{3,6}:{(0,1),(6,1),(7,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1)}
        5:{2,4,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(25,1)}
        6:{2,6}:{(1,1),(3,1),(10,1)}
        7:{4,6}:{(2,1),(3,1),(13,1)}
        8:{2,5,7}:{(4,1),(14,1),(15,1),(16,1),(31,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(32,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{3,7}:{(5,1),(19,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(18,1),(19,1),(20,1),(33,1),(35,1),(43,1)}
       13:{5}:{(7,1)}
       14:{3,5,7}:{(8,1),(21,1),(22,1),(23,1),(36,1),(37,1)}
       15:{2,4,7}:{(8,1),(9,1),(21,1),(23,1),(24,1),(25,1)}
       16:{2,6}:{(8,1),(10,1),(22,1)}
       17:{1,3,7}:{(9,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(38,1),(40,1),(44,1)}
       19:{3,6}:{(11,1),(12,1),(28,1),(45,1)}
       20:{2,5}:{(12,1),(13,1),(27,1),(28,1)}
       21:{4,7}:{(14,1),(29,1),(41,1)}
       22:{3,6}:{(14,1),(16,1),(29,1)}
       23:{3,7}:{(15,1),(30,1)}
       24:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       25:{2,7}:{(17,1),(32,1),(33,1)}
       26:{1,3,6}:{(17,1),(18,1),(19,1),(30,1),(33,1),(34,1),(46,1)}
       27:{1,5}:{(18,1),(20,1),(31,1)}
       28:{3,5}:{(19,1),(20,1),(35,1)}
       29:{4,6}:{(21,1),(22,1),(36,1)}
       30:{3,6}:{(23,1),(24,1),(37,1),(45,1)}
       31:{2,5}:{(24,1),(27,1),(36,1),(37,1)}
       32:{1,7}:{(25,1),(38,1)}
       33:{2,6}:{(25,1),(26,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(26,1),(27,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  73 :   0:{3,6,7}:{(1,1),(2,1),(3,1),(37,1),(140,1)}
         1:{2,6,7}:{(0,1),(4,1),(5,1),(53,1),(134,1)}
         2:{4,6,7}:{(0,1),(6,1),(8,1),(23,1),(144,1)}
         3:{3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(22,1)}
         4:{1,6,7}:{(1,1),(9,1),(10,1),(72,1),(124,1)}
         5:{2,5,7}:{(1,1),(3,1),(10,1),(11,1),(12,1)}
         6:{5,7}:{(2,1),(13,1),(146,1)}
         7:{3,5,6}:{(3,1),(11,1),(13,1),(15,1),(35,1),(37,1),(39,1),(140,1),(142,1),(146,1)}
         8:{4,7}:{(3,1),(15,1)}
         9:{2,6,7}:{(4,1),(17,1),(18,1),(91,1),(111,1)}
        10:{1,5,7}:{(4,1),(5,1),(18,1),(19,1),(20,1)}
        11:{2,5,6}:{(5,1),(7,1),(19,1),(21,1),(53,1),(55,1),(134,1),(136,1)}
        12:{2,4,7}:{(5,1),(8,1),(20,1),(21,1),(22,1),(49,1)}
        13:{5,6}:{(6,1),(23,1)}
        14:{4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1)}
        15:{4,6}:{(7,1),(8,1),(25,1),(145,1)}
        16:{3,4,7}:{(8,1),(22,1),(24,1),(26,1),(27,1)}
        17:{3,6,7}:{(9,1),(28,1),(29,1),(95,1),(108,1)}
        18:{2,5,7}:{(9,1),(10,1),(29,1),(30,1),(31,1)}
        19:{1,5,6}:{(10,1),(11,1),(30,1),(32,1),(72,1),(74,1),(124,1),(126,1)}
        20:{1,4,7}:{(10,1),(12,1),(31,1),(32,1),(33,1),(67,1)}
        21:{2,4,6}:{(11,1),(12,1),(15,1),(32,1),(34,1),(35,1),(66,1)}
        22:{3,7}:{(12,1),(35,1)}
        23:{4,6}:{(13,1),(14,1),(37,1)}
        24:{3,5,7}:{(14,1),(16,1),(37,1),(38,1),(39,1)}
        25:{4,5}:{(15,1),(39,1),(146,1)}
        26:{3,4,6}:{(15,1),(16,1),(35,1),(37,1),(39,1),(40,1),(68,1)}
        27:{2,4,7}:{(16,1),(36,1),(38,1),(40,1),(41,1)}
        28:{4,6,7}:{(17,1),(42,1),(44,1),(77,1),(122,1)}
        29:{3,5,7}:{(17,1),(18,1),(42,1),(43,1),(44,1),(46,1)}
        30:{2,5,6}:{(18,1),(19,1),(43,1),(45,1),(91,1),(93,1),(111,1),(113,1)}
        31:{2,4,7}:{(18,1),(20,1),(44,1),(45,1),(46,1),(49,1)}
        32:{1,4,6}:{(19,1),(20,1),(21,1),(45,1),(47,1),(48,1),(87,1)}
        33:{1,3,7}:{(20,1),(22,1),(46,1),(48,1),(49,1)}
        34:{2,4,5}:{(21,1),(25,1),(47,1),(50,1),(55,1),(86,1),(88,1),(136,1),(138,1),(145,1)}
        35:{3,6}:{(21,1),(22,1),(50,1)}
        36:{2,3,7}:{(22,1),(27,1),(49,1),(51,1),(52,1)}
        37:{3,6}:{(23,1),(24,1),(53,1)}
        38:{2,5,7}:{(24,1),(27,1),(53,1),(54,1),(55,1)}
        39:{3,5}:{(25,1),(26,1),(55,1)}
        40:{2,4,6}:{(26,1),(27,1),(51,1),(53,1),(55,1),(56,1),(88,1)}
        41:{1,4,7}:{(27,1),(52,1),(54,1),(56,1),(57,1)}
        42:{5,7}:{(28,1),(58,1),(133,1)}
        43:{3,5,6}:{(29,1),(30,1),(58,1),(60,1),(63,1),(95,1),(97,1),(108,1),(110,1),(133,1)}
        44:{4,7}:{(29,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(32,1),(60,1),(62,1),(63,1),(66,1)}
        46:{3,7}:{(31,1),(63,1)}
        47:{1,4,5}:{(32,1),(34,1),(62,1),(65,1),(74,1),(105,1),(106,1),(126,1),(129,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(63,1),(65,1),(66,1)}
        49:{2,7}:{(33,1),(66,1),(67,1)}
        50:{3,5}:{(34,1),(35,1),(68,1),(143,1)}
        51:{2,3,6}:{(35,1),(36,1),(40,1),(66,1),(69,1),(70,1)}
        52:{1,3,7}:{(36,1),(41,1),(67,1),(70,1),(71,1),(76,1)}
        53:{2,6}:{(37,1),(38,1),(72,1)}
        54:{1,5,7}:{(38,1),(41,1),(72,1),(73,1),(74,1)}
        55:{2,5}:{(39,1),(40,1),(74,1)}
        56:{1,4,6}:{(40,1),(41,1),(70,1),(72,1),(74,1),(75,1),(106,1)}
        57:{2,4,7}:{(41,1),(71,1),(73,1),(75,1),(76,1),(109,1)}
        58:{5,6}:{(42,1),(77,1)}
        59:{4,5,7}:{(42,1),(44,1),(77,1),(78,1),(79,1)}
        60:{4,6}:{(43,1),(44,1),(79,1),(123,1)}
        61:{3,4,7}:{(44,1),(46,1),(78,1),(80,1),(81,1)}
        62:{2,4,5}:{(45,1),(47,1),(79,1),(82,1),(86,1),(93,1),(113,1),(116,1),(121,1),(123,1)}
        63:{3,6}:{(45,1),(46,1),(82,1)}
        64:{2,3,7}:{(46,1),(49,1),(81,1),(83,1),(84,1)}
        65:{1,3,5}:{(47,1),(48,1),(50,1),(82,1),(85,1),(86,1)}
        66:{2,6}:{(48,1),(49,1),(86,1),(87,1)}
        67:{1,7}:{(49,1),(87,1)}
        68:{3,4}:{(50,1),(88,1),(145,1)}
        69:{2,3,5}:{(50,1),(51,1),(55,1),(86,1),(88,1),(89,1),(119,1)}
        70:{1,3,6}:{(51,1),(52,1),(56,1),(87,1),(89,1),(90,1),(94,1)}
        71:{2,7}:{(52,1),(90,1)}
        72:{1,6}:{(53,1),(54,1),(91,1)}
        73:{2,5,7}:{(54,1),(57,1),(91,1),(92,1),(93,1)}
        74:{1,5}:{(55,1),(56,1),(93,1)}
        75:{2,4,6}:{(56,1),(57,1),(90,1),(91,1),(93,1),(94,1),(121,1),(122,1),(123,1)}
        76:{3,7}:{(57,1),(94,1)}
        77:{4,6}:{(58,1),(59,1),(95,1)}
        78:{3,5,7}:{(59,1),(61,1),(95,1),(96,1),(97,1)}
        79:{4,5}:{(60,1),(97,1),(133,1)}
        80:{3,4,6}:{(60,1),(61,1),(63,1),(95,1),(97,1),(98,1),(100,1)}
        81:{2,4,7}:{(61,1),(64,1),(96,1),(98,1),(99,1)}
        82:{3,5}:{(62,1),(63,1),(100,1),(132,1)}
        83:{2,3,6}:{(63,1),(64,1),(66,1),(98,1),(101,1),(102,1)}
        84:{1,3,7}:{(64,1),(67,1),(99,1),(102,1),(103,1),(128,1)}
        85:{1,3,4}:{(65,1),(68,1),(100,1),(104,1),(106,1),(129,1),(131,1),(132,1),(143,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,6}:{(66,1),(67,1),(105,1)}
        88:{2,4}:{(68,1),(69,1),(106,1)}
        89:{1,3,5}:{(69,1),(70,1),(74,1),(105,1),(106,1),(107,1),(110,1),(131,1),(132,1)}
        90:{2,6}:{(70,1),(71,1),(107,1)}
        91:{2,6}:{(72,1),(73,1),(108,1)}
        92:{3,5,7}:{(73,1),(76,1),(108,1),(109,1),(110,1),(133,1)}
        93:{2,5}:{(74,1),(75,1),(110,1),(133,1)}
        94:{3,6}:{(75,1),(76,1),(110,1),(132,1)}
        95:{3,6}:{(77,1),(78,1),(111,1)}
        96:{2,5,7}:{(78,1),(81,1),(111,1),(112,1),(113,1)}
        97:{3,5}:{(79,1),(80,1),(113,1)}
        98:{2,4,6}:{(80,1),(81,1),(83,1),(111,1),(113,1),(114,1),(116,1)}
        99:{1,4,7}:{(81,1),(84,1),(112,1),(114,1),(115,1)}
       100:{3,4}:{(82,1),(116,1),(123,1)}
       101:{2,3,5}:{(82,1),(83,1),(86,1),(113,1),(116,1),(117,1),(119,1)}
       102:{1,3,6}:{(83,1),(84,1),(87,1),(114,1),(117,1),(118,1),(137,1)}
       103:{2,7}:{(84,1),(118,1)}
       104:{2,4}:{(85,1),(86,1),(119,1),(120,1),(139,1)}
       105:{1,5}:{(86,1),(87,1),(120,1)}
       106:{1,4}:{(88,1),(89,1),(121,1),(123,1)}
       107:{2,5}:{(89,1),(90,1),(121,1),(139,1)}
       108:{3,6}:{(91,1),(92,1),(122,1)}
       109:{4,7}:{(92,1),(122,1),(123,1)}
       110:{3,5}:{(93,1),(94,1),(123,1)}
       111:{2,6}:{(95,1),(96,1),(124,1)}
       112:{1,5,7}:{(96,1),(99,1),(124,1),(125,1),(126,1)}
       113:{2,5}:{(97,1),(98,1),(126,1)}
       114:{1,4,6}:{(98,1),(99,1),(102,1),(124,1),(126,1),(127,1),(129,1)}
       115:{2,4,7}:{(99,1),(103,1),(125,1),(127,1),(128,1),(141,1)}
       116:{2,4}:{(100,1),(101,1),(129,1)}
       117:{1,3,5}:{(101,1),(102,1),(105,1),(126,1),(129,1),(130,1),(131,1),(142,1),(143,1)}
       118:{2,6}:{(102,1),(103,1),(130,1)}
       119:{2,3}:{(104,1),(131,1),(132,1),(143,1)}
       120:{1,4}:{(104,1),(105,1),(131,1)}
       121:{2,4}:{(106,1),(107,1),(132,1)}
       122:{4,6}:{(108,1),(109,1),(133,1)}
       123:{4}:{(110,1)}
       124:{1,6}:{(111,1),(112,1),(134,1)}
       125:{2,5,7}:{(112,1),(115,1),(134,1),(135,1),(136,1)}
       126:{1,5}:{(113,1),(114,1),(136,1)}
       127:{2,4,6}:{(114,1),(115,1),(118,1),(134,1),(136,1),(137,1),(138,1),(144,1),(145,1)}
       128:{3,7}:{(115,1),(137,1)}
       129:{1,4}:{(116,1),(117,1),(138,1),(145,1)}
       130:{2,5}:{(117,1),(118,1),(138,1),(139,1)}
       131:{1,3}:{(119,1),(120,1),(139,1)}
       132:{3}:{(121,1)}
       133:{5}:{(122,1)}
       134:{2,6}:{(124,1),(125,1),(140,1)}
       135:{3,5,7}:{(125,1),(128,1),(140,1),(141,1),(142,1),(146,1)}
       136:{2,5}:{(126,1),(127,1),(142,1),(146,1)}
       137:{3,6}:{(127,1),(128,1),(142,1),(143,1)}
       138:{2,4}:{(129,1),(130,1),(143,1)}
       139:{2}:{(131,1)}
       140:{3,6}:{(134,1),(135,1),(144,1)}
       141:{4,7}:{(135,1),(144,1),(145,1)}
       142:{3,5}:{(136,1),(137,1),(145,1)}
       143:{3}:{(138,1)}
       144:{4,6}:{(140,1),(141,1),(146,1)}
       145:{4}:{(142,1)}
       146:{5}:{(144,1)}

  74 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(11,1),(13,1),(28,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1)}
        2:{4,7}:{(0,1),(7,1),(35,1)}
        3:{3,6}:{(0,1),(6,1),(7,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1)}
        5:{2,4,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(25,1)}
        6:{2,6}:{(1,1),(3,1),(10,1)}
        7:{4,6}:{(2,1),(3,1),(13,1)}
        8:{2,5,7}:{(4,1),(14,1),(15,1),(16,1),(31,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(32,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{3,7}:{(5,1),(19,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(18,1),(19,1),(20,1),(33,1),(35,1),(43,1)}
       13:{5}:{(7,1)}
       14:{3,5,7}:{(8,1),(21,1),(22,1),(23,1),(36,1),(37,1)}
       15:{2,4,7}:{(8,1),(9,1),(21,1),(23,1),(24,1),(25,1)}
       16:{2,6}:{(8,1),(10,1),(22,1)}
       17:{1,3,7}:{(9,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(38,1),(40,1),(44,1)}
       19:{3,6}:{(11,1),(12,1),(28,1),(45,1)}
       20:{2,5}:{(12,1),(13,1),(27,1),(28,1)}
       21:{4,7}:{(14,1),(29,1),(41,1)}
       22:{3,6}:{(14,1),(16,1),(29,1)}
       23:{3,7}:{(15,1),(30,1)}
       24:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       25:{2,7}:{(17,1),(32,1),(33,1)}
       26:{1,3,6}:{(17,1),(18,1),(19,1),(30,1),(33,1),(34,1),(46,1)}
       27:{1,5}:{(18,1),(20,1),(31,1)}
       28:{3,5}:{(19,1),(20,1),(35,1)}
       29:{4,6}:{(21,1),(22,1),(36,1)}
       30:{3,6}:{(23,1),(24,1),(37,1),(45,1)}
       31:{2,5}:{(24,1),(27,1),(36,1),(37,1)}
       32:{1,7}:{(25,1),(38,1)}
       33:{2,6}:{(25,1),(26,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(26,1),(27,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

  75 :   0:{4,5,7}:{(1,1),(2,1),(14,1),(30,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(4,1),(5,1),(18,1)}
         2:{4,6}:{(0,1),(5,1),(7,1)}
         3:{3,4,7}:{(1,1),(8,1),(9,1),(37,1),(67,1)}
         4:{2,5,7}:{(1,1),(8,1),(10,1),(11,1),(29,1)}
         5:{3,6}:{(1,1),(2,1),(11,1)}
         6:{4,6,7}:{(2,1),(12,1),(14,1),(37,1),(145,1)}
         7:{5,6}:{(2,1),(14,1)}
         8:{2,4,7}:{(3,1),(4,1),(15,1),(16,1),(17,1)}
         9:{3,4,6}:{(3,1),(5,1),(17,1),(18,1),(24,1),(52,1),(70,1)}
        10:{1,5,7}:{(4,1),(16,1),(19,1),(20,1),(43,1)}
        11:{2,6}:{(4,1),(5,1),(20,1)}
        12:{3,6,7}:{(5,1),(6,1),(21,1),(23,1),(143,1)}
        13:{3,5,6}:{(5,1),(7,1),(18,1),(22,1),(23,1),(24,1),(52,1),(138,1),(143,1),(146,1)}
        14:{5,7}:{(6,1),(7,1),(146,1)}
        15:{2,3,7}:{(8,1),(25,1),(26,1),(67,1),(93,1)}
        16:{1,4,7}:{(8,1),(10,1),(25,1),(27,1),(28,1)}
        17:{2,4,6}:{(8,1),(9,1),(11,1),(26,1),(28,1),(29,1),(55,1)}
        18:{3,5}:{(9,1),(29,1),(30,1)}
        19:{2,5,7}:{(10,1),(27,1),(31,1),(32,1),(57,1)}
        20:{1,6}:{(10,1),(11,1),(32,1)}
        21:{2,6,7}:{(11,1),(12,1),(33,1),(35,1),(140,1)}
        22:{2,5,6}:{(11,1),(13,1),(29,1),(34,1),(35,1),(36,1),(132,1),(140,1)}
        23:{3,5,7}:{(12,1),(13,1),(14,1),(35,1),(37,1),(67,1)}
        24:{4,6}:{(13,1),(30,1),(37,1),(142,1)}
        25:{1,3,7}:{(15,1),(16,1),(38,1),(39,1),(41,1),(107,1)}
        26:{2,3,6}:{(15,1),(17,1),(39,1),(40,1),(52,1),(81,1)}
        27:{2,4,7}:{(16,1),(19,1),(38,1),(41,1),(42,1),(45,1)}
        28:{1,4,6}:{(16,1),(17,1),(20,1),(39,1),(42,1),(43,1),(69,1)}
        29:{2,5}:{(17,1),(18,1),(43,1)}
        30:{4,5}:{(18,1),(24,1),(146,1)}
        31:{3,5,7}:{(19,1),(41,1),(45,1),(46,1),(71,1),(75,1)}
        32:{2,6}:{(19,1),(20,1),(46,1)}
        33:{1,6,7}:{(20,1),(21,1),(47,1),(49,1),(136,1)}
        34:{1,5,6}:{(20,1),(22,1),(43,1),(48,1),(49,1),(50,1),(124,1),(136,1)}
        35:{2,5,7}:{(21,1),(22,1),(23,1),(49,1),(51,1)}
        36:{2,4,6}:{(22,1),(24,1),(44,1),(50,1),(51,1),(52,1),(81,1)}
        37:{4,7}:{(23,1),(24,1)}
        38:{2,7}:{(25,1),(53,1)}
        39:{1,3,6}:{(25,1),(26,1),(28,1),(53,1),(54,1),(56,1),(94,1)}
        40:{2,3,5}:{(26,1),(29,1),(54,1),(55,1),(59,1),(86,1),(108,1)}
        41:{3,7}:{(27,1),(56,1)}
        42:{2,4,6}:{(27,1),(28,1),(32,1),(53,1),(56,1),(57,1),(60,1),(82,1),(84,1)}
        43:{1,5}:{(28,1),(29,1),(57,1)}
        44:{2,4,5}:{(29,1),(30,1),(36,1),(55,1),(58,1),(59,1),(86,1),(129,1),(132,1),(142,1)}
        45:{4,7}:{(31,1),(60,1),(84,1)}
        46:{3,6}:{(31,1),(32,1),(60,1)}
        47:{2,6,7}:{(32,1),(33,1),(61,1),(63,1),(130,1)}
        48:{2,5,6}:{(32,1),(34,1),(57,1),(62,1),(63,1),(64,1),(114,1),(130,1)}
        49:{1,5,7}:{(33,1),(34,1),(35,1),(63,1),(65,1)}
        50:{1,4,6}:{(34,1),(36,1),(58,1),(64,1),(65,1),(66,1),(94,1)}
        51:{2,4,7}:{(35,1),(36,1),(37,1),(65,1),(67,1),(93,1)}
        52:{3,6}:{(36,1),(59,1),(67,1)}
        53:{2,6}:{(38,1),(39,1),(68,1)}
        54:{1,3,5}:{(39,1),(40,1),(43,1),(68,1),(69,1),(71,1),(95,1),(99,1),(119,1)}
        55:{2,4}:{(40,1),(69,1),(70,1)}
        56:{3,6}:{(41,1),(42,1),(71,1),(95,1)}
        57:{2,5}:{(42,1),(43,1),(71,1),(75,1)}
        58:{1,4,5}:{(43,1),(44,1),(50,1),(69,1),(72,1),(73,1),(99,1),(120,1),(124,1)}
        59:{3,5}:{(44,1),(52,1),(70,1),(135,1)}
        60:{4,6}:{(45,1),(46,1),(75,1)}
        61:{3,6,7}:{(46,1),(47,1),(74,1),(76,1),(122,1)}
        62:{3,5,6}:{(46,1),(48,1),(71,1),(75,1),(76,1),(77,1),(79,1),(100,1),(102,1),(122,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1),(78,1)}
        64:{2,4,6}:{(48,1),(50,1),(72,1),(77,1),(78,1),(79,1),(81,1)}
        65:{1,4,7}:{(49,1),(50,1),(51,1),(78,1),(80,1),(107,1)}
        66:{1,3,6}:{(50,1),(52,1),(73,1),(79,1),(80,1),(81,1)}
        67:{3,7}:{(51,1),(52,1)}
        68:{2,5}:{(53,1),(54,1),(82,1),(128,1)}
        69:{1,4}:{(54,1),(55,1),(82,1),(84,1)}
        70:{3,4}:{(55,1),(59,1),(142,1)}
        71:{3,5}:{(56,1),(57,1),(84,1)}
        72:{2,4,5}:{(57,1),(58,1),(64,1),(82,1),(84,1),(85,1),(86,1),(88,1),(110,1),(114,1)}
        73:{1,3,5}:{(58,1),(59,1),(66,1),(83,1),(85,1),(86,1)}
        74:{4,6,7}:{(60,1),(61,1),(87,1),(89,1),(112,1)}
        75:{5}:{(60,1)}
        76:{3,5,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(91,1)}
        77:{4,6}:{(62,1),(84,1),(88,1),(89,1)}
        78:{2,4,7}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1)}
        79:{3,6}:{(64,1),(85,1),(91,1)}
        80:{1,3,7}:{(65,1),(66,1),(67,1),(91,1),(93,1)}
        81:{2,6}:{(66,1),(86,1),(93,1),(94,1)}
        82:{2,4}:{(68,1),(69,1),(95,1)}
        83:{1,3,4}:{(69,1),(70,1),(73,1),(95,1),(96,1),(97,1),(119,1),(120,1),(135,1)}
        84:{4}:{(71,1)}
        85:{3,5}:{(72,1),(79,1),(95,1),(97,1)}
        86:{2,5}:{(73,1),(81,1),(96,1),(99,1)}
        87:{5,7}:{(74,1),(75,1),(100,1)}
        88:{4,5}:{(75,1),(77,1),(102,1)}
        89:{4,7}:{(76,1),(77,1)}
        90:{3,4,6}:{(77,1),(79,1),(97,1),(102,1),(103,1),(104,1),(122,1)}
        91:{3,7}:{(78,1),(79,1)}
        92:{2,3,6}:{(79,1),(81,1),(98,1),(104,1),(105,1),(106,1)}
        93:{2,7}:{(80,1),(81,1),(107,1)}
        94:{1,6}:{(81,1),(99,1),(107,1)}
        95:{3}:{(82,1)}
        96:{2,4}:{(83,1),(86,1),(108,1),(109,1),(128,1)}
        97:{3,4}:{(84,1),(85,1),(110,1)}
        98:{2,3,5}:{(85,1),(86,1),(92,1),(108,1),(110,1),(111,1),(114,1)}
        99:{1,5}:{(86,1),(94,1),(109,1)}
       100:{5,6}:{(87,1),(112,1)}
       101:{4,5,7}:{(87,1),(88,1),(89,1),(112,1),(113,1)}
       102:{3,5}:{(88,1),(90,1),(114,1)}
       103:{3,4,7}:{(89,1),(90,1),(91,1),(113,1),(115,1)}
       104:{2,4,6}:{(90,1),(92,1),(110,1),(114,1),(115,1),(116,1),(130,1)}
       105:{2,3,7}:{(91,1),(92,1),(93,1),(115,1),(117,1)}
       106:{1,3,6}:{(92,1),(94,1),(111,1),(116,1),(117,1),(118,1),(134,1)}
       107:{1,7}:{(93,1),(94,1)}
       108:{2,3}:{(95,1),(96,1),(119,1),(135,1)}
       109:{1,4}:{(96,1),(99,1),(119,1)}
       110:{2,4}:{(97,1),(98,1),(120,1)}
       111:{1,3,5}:{(98,1),(99,1),(106,1),(119,1),(120,1),(121,1),(124,1),(135,1),(138,1)}
       112:{4,6}:{(100,1),(101,1),(122,1)}
       113:{3,5,7}:{(101,1),(102,1),(103,1),(122,1),(123,1)}
       114:{2,5}:{(102,1),(104,1),(124,1)}
       115:{2,4,7}:{(103,1),(104,1),(105,1),(123,1),(125,1)}
       116:{1,4,6}:{(104,1),(106,1),(120,1),(124,1),(125,1),(126,1),(136,1)}
       117:{1,3,7}:{(105,1),(106,1),(107,1),(125,1),(127,1),(139,1)}
       118:{2,6}:{(106,1),(121,1),(127,1)}
       119:{1,3}:{(108,1),(109,1),(128,1)}
       120:{1,4}:{(110,1),(111,1),(129,1),(142,1)}
       121:{2,5}:{(111,1),(118,1),(128,1),(129,1)}
       122:{3,6}:{(112,1),(113,1),(130,1)}
       123:{2,5,7}:{(113,1),(114,1),(115,1),(130,1),(131,1)}
       124:{1,5}:{(114,1),(116,1),(132,1)}
       125:{1,4,7}:{(115,1),(116,1),(117,1),(131,1),(133,1)}
       126:{2,4,6}:{(116,1),(118,1),(129,1),(132,1),(133,1),(134,1),(140,1),(142,1),(145,1)}
       127:{2,7}:{(117,1),(118,1)}
       128:{2}:{(119,1)}
       129:{2,4}:{(120,1),(121,1),(135,1)}
       130:{2,6}:{(122,1),(123,1),(136,1)}
       131:{1,5,7}:{(123,1),(124,1),(125,1),(136,1),(137,1)}
       132:{2,5}:{(124,1),(126,1),(138,1),(146,1)}
       133:{2,4,7}:{(125,1),(126,1),(127,1),(137,1),(139,1),(144,1)}
       134:{3,6}:{(126,1),(135,1),(138,1),(139,1)}
       135:{3}:{(129,1)}
       136:{1,6}:{(130,1),(131,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(133,1),(140,1),(141,1)}
       138:{3,5}:{(132,1),(134,1),(142,1)}
       139:{3,7}:{(133,1),(134,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  76 :  0:{5,6}:{(2,1),(3,1)}
        1:{4,5}:{(2,1),(4,1)}
        2:{4,6}:{(0,1),(1,1),(6,1),(7,1)}
        3:{5,7}:{(0,1),(7,1),(8,1)}
        4:{3,5}:{(1,1),(5,1),(6,1),(9,1)}
        5:{3,4}:{(4,1),(10,1)}
        6:{3,6}:{(2,1),(4,1),(11,1),(12,1)}
        7:{4,7}:{(2,1),(3,1),(12,1)}
        8:{6,7}:{(3,1)}
        9:{2,5}:{(4,1),(10,1),(11,1),(13,1)}
       10:{2,4}:{(5,1),(9,1),(14,1),(15,1)}
       11:{2,6}:{(6,1),(9,1),(16,1),(17,1)}
       12:{3,7}:{(6,1),(7,1),(17,1)}
       13:{1,5}:{(9,1),(15,1),(16,1),(18,1)}
       14:{2,3}:{(10,1),(19,1)}
       15:{1,4}:{(10,1),(13,1),(19,1),(20,1)}
       16:{1,6}:{(11,1),(13,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(12,1),(22,1)}
       18:{2,5}:{(13,1),(20,1),(21,1),(23,1)}
       19:{1,3}:{(14,1),(15,1),(24,1),(25,1)}
       20:{2,4}:{(15,1),(18,1),(24,1),(25,1),(28,1)}
       21:{2,6}:{(16,1),(18,1),(26,1),(27,1)}
       22:{1,7}:{(16,1),(17,1),(27,1)}
       23:{3,5}:{(18,1),(25,1),(26,1),(28,1),(31,1)}
       24:{2}:{(19,1)}
       25:{3}:{(20,1)}
       26:{3,6}:{(21,1),(23,1),(29,1),(30,1)}
       27:{2,7}:{(21,1),(22,1),(30,1)}
       28:{4}:{(23,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  77 :   0:{4,6,7}:{(1,1),(2,1),(10,1),(11,1),(144,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(19,1),(140,1)}
         2:{5,7}:{(0,1),(5,1),(146,1)}
         3:{2,6,7}:{(1,1),(7,1),(8,1),(30,1),(134,1)}
         4:{3,5,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(26,1)}
         5:{5,6}:{(2,1),(11,1)}
         6:{4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1)}
         7:{1,6,7}:{(3,1),(13,1),(14,1),(44,1),(125,1)}
         8:{2,5,7}:{(3,1),(4,1),(14,1),(15,1),(16,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1),(17,1),(19,1),(39,1),(41,1),(140,1),(142,1),(146,1)}
        10:{4,7}:{(4,1),(17,1)}
        11:{4,6}:{(5,1),(6,1),(19,1)}
        12:{3,5,7}:{(6,1),(18,1),(19,1),(20,1),(41,1)}
        13:{2,6,7}:{(7,1),(21,1),(22,1),(60,1),(113,1)}
        14:{1,5,7}:{(7,1),(8,1),(22,1),(23,1),(24,1)}
        15:{2,5,6}:{(8,1),(9,1),(23,1),(25,1),(30,1),(57,1),(134,1),(136,1)}
        16:{2,4,7}:{(8,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{4,6}:{(9,1),(10,1),(27,1),(145,1)}
        18:{3,4,7}:{(10,1),(12,1),(26,1),(28,1),(29,1)}
        19:{3,6}:{(11,1),(12,1),(30,1)}
        20:{2,5,7}:{(12,1),(29,1),(30,1),(31,1),(57,1)}
        21:{3,6,7}:{(13,1),(32,1),(33,1),(79,1),(98,1)}
        22:{2,5,7}:{(13,1),(14,1),(33,1),(34,1),(35,1)}
        23:{1,5,6}:{(14,1),(15,1),(34,1),(36,1),(44,1),(76,1),(125,1),(127,1)}
        24:{1,4,7}:{(14,1),(16,1),(35,1),(36,1),(37,1),(71,1)}
        25:{2,4,6}:{(15,1),(16,1),(17,1),(36,1),(38,1),(39,1),(70,1)}
        26:{3,7}:{(16,1),(39,1)}
        27:{4,5}:{(17,1),(41,1),(146,1)}
        28:{3,4,6}:{(17,1),(18,1),(19,1),(39,1),(41,1),(42,1),(72,1)}
        29:{2,4,7}:{(18,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,6}:{(19,1),(20,1),(44,1)}
        31:{1,5,7}:{(20,1),(43,1),(44,1),(45,1),(76,1)}
        32:{4,6,7}:{(21,1),(46,1),(48,1),(81,1),(97,1)}
        33:{3,5,7}:{(21,1),(22,1),(46,1),(47,1),(48,1),(50,1)}
        34:{2,5,6}:{(22,1),(23,1),(47,1),(49,1),(60,1),(95,1),(113,1),(115,1)}
        35:{2,4,7}:{(22,1),(24,1),(48,1),(49,1),(50,1),(53,1)}
        36:{1,4,6}:{(23,1),(24,1),(25,1),(49,1),(51,1),(52,1),(91,1)}
        37:{1,3,7}:{(24,1),(26,1),(50,1),(52,1),(53,1)}
        38:{2,4,5}:{(25,1),(27,1),(51,1),(54,1),(57,1),(90,1),(92,1),(136,1),(138,1),(145,1)}
        39:{3,6}:{(25,1),(26,1),(54,1)}
        40:{2,3,7}:{(26,1),(29,1),(53,1),(55,1),(56,1)}
        41:{3,5}:{(27,1),(28,1),(57,1)}
        42:{2,4,6}:{(28,1),(29,1),(30,1),(55,1),(57,1),(58,1),(92,1)}
        43:{1,4,7}:{(29,1),(31,1),(56,1),(58,1),(59,1)}
        44:{1,6}:{(30,1),(31,1),(60,1)}
        45:{2,5,7}:{(31,1),(59,1),(60,1),(61,1),(95,1)}
        46:{5,7}:{(32,1),(62,1),(112,1)}
        47:{3,5,6}:{(33,1),(34,1),(62,1),(64,1),(67,1),(79,1),(98,1),(100,1),(111,1),(112,1)}
        48:{4,7}:{(33,1),(64,1)}
        49:{2,4,6}:{(34,1),(35,1),(36,1),(64,1),(66,1),(67,1),(70,1)}
        50:{3,7}:{(35,1),(67,1)}
        51:{1,4,5}:{(36,1),(38,1),(66,1),(69,1),(76,1),(108,1),(109,1),(127,1),(130,1)}
        52:{1,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(70,1)}
        53:{2,7}:{(37,1),(70,1),(71,1)}
        54:{3,5}:{(38,1),(39,1),(72,1),(143,1)}
        55:{2,3,6}:{(39,1),(40,1),(42,1),(70,1),(73,1),(74,1)}
        56:{1,3,7}:{(40,1),(43,1),(71,1),(74,1),(75,1),(78,1)}
        57:{2,5}:{(41,1),(42,1),(76,1)}
        58:{1,4,6}:{(42,1),(43,1),(44,1),(74,1),(76,1),(77,1),(109,1)}
        59:{2,4,7}:{(43,1),(45,1),(75,1),(77,1),(78,1),(80,1)}
        60:{2,6}:{(44,1),(45,1),(79,1)}
        61:{3,5,7}:{(45,1),(78,1),(79,1),(80,1),(111,1),(112,1)}
        62:{5,6}:{(46,1),(81,1)}
        63:{4,5,7}:{(46,1),(48,1),(81,1),(82,1),(83,1)}
        64:{4,6}:{(47,1),(48,1),(83,1),(124,1)}
        65:{3,4,7}:{(48,1),(50,1),(82,1),(84,1),(85,1)}
        66:{2,4,5}:{(49,1),(51,1),(83,1),(86,1),(90,1),(95,1),(115,1),(118,1),(123,1),(124,1)}
        67:{3,6}:{(49,1),(50,1),(86,1)}
        68:{2,3,7}:{(50,1),(53,1),(85,1),(87,1),(88,1)}
        69:{1,3,5}:{(51,1),(52,1),(54,1),(86,1),(89,1),(90,1)}
        70:{2,6}:{(52,1),(53,1),(90,1),(91,1)}
        71:{1,7}:{(53,1),(91,1)}
        72:{3,4}:{(54,1),(92,1),(145,1)}
        73:{2,3,5}:{(54,1),(55,1),(57,1),(90,1),(92,1),(93,1),(121,1)}
        74:{1,3,6}:{(55,1),(56,1),(58,1),(91,1),(93,1),(94,1),(96,1)}
        75:{2,7}:{(56,1),(94,1)}
        76:{1,5}:{(57,1),(58,1),(95,1)}
        77:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(95,1),(96,1),(97,1),(123,1),(124,1)}
        78:{3,7}:{(59,1),(96,1)}
        79:{3,6}:{(60,1),(61,1),(97,1)}
        80:{4,7}:{(61,1),(97,1),(124,1)}
        81:{4,6}:{(62,1),(63,1),(98,1)}
        82:{3,5,7}:{(63,1),(65,1),(98,1),(99,1),(100,1)}
        83:{4,5}:{(64,1),(100,1),(112,1)}
        84:{3,4,6}:{(64,1),(65,1),(67,1),(98,1),(100,1),(101,1),(103,1)}
        85:{2,4,7}:{(65,1),(68,1),(99,1),(101,1),(102,1)}
        86:{3,5}:{(66,1),(67,1),(103,1),(133,1)}
        87:{2,3,6}:{(67,1),(68,1),(70,1),(101,1),(104,1),(105,1)}
        88:{1,3,7}:{(68,1),(71,1),(102,1),(105,1),(106,1),(129,1)}
        89:{1,3,4}:{(69,1),(72,1),(103,1),(107,1),(109,1),(130,1),(132,1),(133,1),(143,1)}
        90:{2,5}:{(69,1),(70,1),(107,1),(108,1)}
        91:{1,6}:{(70,1),(71,1),(108,1)}
        92:{2,4}:{(72,1),(73,1),(109,1)}
        93:{1,3,5}:{(73,1),(74,1),(76,1),(108,1),(109,1),(110,1),(111,1),(132,1),(133,1)}
        94:{2,6}:{(74,1),(75,1),(110,1)}
        95:{2,5}:{(76,1),(77,1),(111,1),(112,1)}
        96:{3,6}:{(77,1),(78,1),(111,1),(133,1)}
        97:{4,6}:{(79,1),(80,1),(112,1)}
        98:{3,6}:{(81,1),(82,1),(113,1)}
        99:{2,5,7}:{(82,1),(85,1),(113,1),(114,1),(115,1)}
       100:{3,5}:{(83,1),(84,1),(115,1)}
       101:{2,4,6}:{(84,1),(85,1),(87,1),(113,1),(115,1),(116,1),(118,1)}
       102:{1,4,7}:{(85,1),(88,1),(114,1),(116,1),(117,1)}
       103:{3,4}:{(86,1),(118,1),(124,1)}
       104:{2,3,5}:{(86,1),(87,1),(90,1),(115,1),(118,1),(119,1),(121,1)}
       105:{1,3,6}:{(87,1),(88,1),(91,1),(116,1),(119,1),(120,1),(137,1)}
       106:{2,7}:{(88,1),(120,1)}
       107:{2,4}:{(89,1),(90,1),(121,1),(122,1),(139,1)}
       108:{1,5}:{(90,1),(91,1),(122,1)}
       109:{1,4}:{(92,1),(93,1),(123,1),(124,1)}
       110:{2,5}:{(93,1),(94,1),(123,1),(139,1)}
       111:{3,5}:{(95,1),(96,1),(124,1)}
       112:{5}:{(97,1)}
       113:{2,6}:{(98,1),(99,1),(125,1)}
       114:{1,5,7}:{(99,1),(102,1),(125,1),(126,1),(127,1)}
       115:{2,5}:{(100,1),(101,1),(127,1)}
       116:{1,4,6}:{(101,1),(102,1),(105,1),(125,1),(127,1),(128,1),(130,1)}
       117:{2,4,7}:{(102,1),(106,1),(126,1),(128,1),(129,1),(141,1)}
       118:{2,4}:{(103,1),(104,1),(130,1)}
       119:{1,3,5}:{(104,1),(105,1),(108,1),(127,1),(130,1),(131,1),(132,1),(142,1),(143,1)}
       120:{2,6}:{(105,1),(106,1),(131,1)}
       121:{2,3}:{(107,1),(132,1),(133,1),(143,1)}
       122:{1,4}:{(107,1),(108,1),(132,1)}
       123:{2,4}:{(109,1),(110,1),(133,1)}
       124:{4}:{(111,1)}
       125:{1,6}:{(113,1),(114,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(134,1),(135,1),(136,1)}
       127:{1,5}:{(115,1),(116,1),(136,1)}
       128:{2,4,6}:{(116,1),(117,1),(120,1),(134,1),(136,1),(137,1),(138,1),(144,1),(145,1)}
       129:{3,7}:{(117,1),(137,1)}
       130:{1,4}:{(118,1),(119,1),(138,1),(145,1)}
       131:{2,5}:{(119,1),(120,1),(138,1),(139,1)}
       132:{1,3}:{(121,1),(122,1),(139,1)}
       133:{3}:{(123,1)}
       134:{2,6}:{(125,1),(126,1),(140,1)}
       135:{3,5,7}:{(126,1),(129,1),(140,1),(141,1),(142,1),(146,1)}
       136:{2,5}:{(127,1),(128,1),(142,1),(146,1)}
       137:{3,6}:{(128,1),(129,1),(142,1),(143,1)}
       138:{2,4}:{(130,1),(131,1),(143,1)}
       139:{2}:{(132,1)}
       140:{3,6}:{(134,1),(135,1),(144,1)}
       141:{4,7}:{(135,1),(144,1),(145,1)}
       142:{3,5}:{(136,1),(137,1),(145,1)}
       143:{3}:{(138,1)}
       144:{4,6}:{(140,1),(141,1),(146,1)}
       145:{4}:{(142,1)}
       146:{5}:{(144,1)}

  78 :  0:{6,7}:{(2,1)}
        1:{5,6}:{(2,1),(3,1)}
        2:{5,7}:{(0,1),(1,1),(5,1)}
        3:{4,6}:{(1,1),(4,1),(5,1),(6,1)}
        4:{4,5}:{(3,1),(7,1)}
        5:{4,7}:{(2,1),(3,1),(8,1)}
        6:{3,6}:{(3,1),(7,1),(8,1),(9,1)}
        7:{3,5}:{(4,1),(6,1),(10,1),(11,1)}
        8:{3,7}:{(5,1),(6,1),(12,1)}
        9:{2,6}:{(6,1),(11,1),(12,1),(13,1)}
       10:{3,4}:{(7,1),(14,1)}
       11:{2,5}:{(7,1),(9,1),(14,1),(15,1)}
       12:{2,7}:{(8,1),(9,1),(16,1)}
       13:{1,6}:{(9,1),(15,1),(16,1),(17,1)}
       14:{2,4}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,5}:{(11,1),(13,1),(19,1),(20,1)}
       16:{1,7}:{(12,1),(13,1),(21,1)}
       17:{2,6}:{(13,1),(20,1),(21,1),(22,1)}
       18:{2,3}:{(14,1),(23,1)}
       19:{1,4}:{(14,1),(15,1),(23,1),(24,1)}
       20:{2,5}:{(15,1),(17,1),(24,1),(25,1)}
       21:{2,7}:{(16,1),(17,1),(26,1)}
       22:{3,6}:{(17,1),(25,1),(26,1),(27,1)}
       23:{1,3}:{(18,1),(19,1),(28,1),(29,1)}
       24:{2,4}:{(19,1),(20,1),(28,1),(29,1),(30,1)}
       25:{3,5}:{(20,1),(22,1),(29,1),(30,1),(32,1)}
       26:{3,7}:{(21,1),(22,1),(31,1)}
       27:{4,6}:{(22,1),(30,1),(31,1),(32,1),(34,1)}
       28:{2}:{(23,1)}
       29:{3}:{(24,1)}
       30:{4}:{(25,1)}
       31:{4,7}:{(26,1),(27,1),(33,1)}
       32:{5}:{(27,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  79 :   0:{1,2,4}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(5,1),(6,1),(15,1),(99,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1),(11,1),(32,1)}
         4:{2,3}:{(1,1),(7,1),(9,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(35,1),(83,1),(90,1)}
         6:{1,2,6}:{(2,1),(12,1),(13,1),(26,1)}
         7:{2,4}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,3,5}:{(3,1),(15,1),(16,1),(17,1),(39,1)}
         9:{1,3}:{(4,1),(14,1),(18,1)}
        10:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(39,1),(50,1),(69,1),(77,1)}
        11:{1,4}:{(5,1),(20,1)}
        12:{1,3,6}:{(5,1),(6,1),(21,1),(22,1),(23,1),(94,1)}
        13:{1,2,7}:{(6,1),(23,1),(41,1)}
        14:{1,4}:{(7,1),(9,1),(24,1)}
        15:{2,5}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,4,5}:{(8,1),(11,1),(25,1),(27,1),(35,1),(83,1)}
        17:{1,3,6}:{(8,1),(26,1),(27,1),(28,1),(56,1)}
        18:{1,2}:{(9,1)}
        19:{1,3,5}:{(9,1),(10,1),(24,1),(29,1),(30,1),(31,1),(60,1),(63,1)}
        20:{2,4}:{(10,1),(11,1),(30,1),(32,1)}
        21:{2,3,6}:{(10,1),(12,1),(26,1),(31,1),(33,1),(34,1),(56,1),(84,1)}
        22:{1,4,6}:{(11,1),(12,1),(33,1),(35,1),(36,1),(68,1)}
        23:{1,3,7}:{(12,1),(13,1),(34,1),(36,1),(101,1)}
        24:{1,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(15,1),(16,1),(20,1),(37,1),(39,1),(40,1),(50,1),(69,1),(80,1)}
        26:{2,6}:{(15,1),(17,1),(38,1),(41,1)}
        27:{1,4,6}:{(16,1),(17,1),(40,1),(42,1),(43,1),(94,1)}
        28:{1,3,7}:{(17,1),(41,1),(43,1),(74,1)}
        29:{1,2,5}:{(18,1),(19,1),(44,1),(45,1),(69,1)}
        30:{1,4}:{(19,1),(20,1)}
        31:{1,3,6}:{(19,1),(21,1),(38,1),(45,1),(47,1),(48,1)}
        32:{3,4}:{(20,1),(39,1)}
        33:{2,4,6}:{(20,1),(21,1),(22,1),(47,1),(49,1),(50,1),(51,1),(82,1)}
        34:{2,3,7}:{(21,1),(23,1),(41,1),(48,1),(51,1),(74,1),(95,1)}
        35:{1,5}:{(22,1),(50,1)}
        36:{1,4,7}:{(22,1),(23,1),(51,1),(52,1)}
        37:{1,4,5}:{(24,1),(25,1),(30,1),(53,1),(54,1),(63,1)}
        38:{1,6}:{(24,1),(26,1),(55,1)}
        39:{3,5}:{(25,1),(32,1),(56,1)}
        40:{2,4,6}:{(25,1),(26,1),(27,1),(54,1),(56,1),(57,1),(58,1),(84,1),(87,1)}
        41:{2,7}:{(26,1),(28,1),(55,1)}
        42:{1,5,6}:{(27,1),(35,1),(57,1),(59,1),(68,1)}
        43:{1,4,7}:{(27,1),(28,1),(58,1),(59,1),(101,1)}
        44:{1,2,4}:{(29,1),(30,1),(60,1),(62,1)}
        45:{1,2,6}:{(29,1),(31,1),(61,1),(84,1)}
        46:{1,3,4}:{(30,1),(32,1),(53,1),(60,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(33,1),(63,1),(64,1),(91,1)}
        48:{1,3,7}:{(31,1),(34,1),(55,1),(61,1),(64,1)}
        49:{3,4,6}:{(32,1),(33,1),(56,1),(65,1),(66,1),(87,1),(93,1)}
        50:{2,5}:{(33,1),(35,1),(63,1),(65,1)}
        51:{2,4,7}:{(33,1),(34,1),(36,1),(64,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{1,3,5}:{(37,1),(39,1),(46,1),(69,1),(70,1)}
        54:{1,4,6}:{(37,1),(38,1),(40,1),(70,1),(71,1),(72,1)}
        55:{1,7}:{(38,1),(41,1)}
        56:{3,6}:{(39,1),(40,1),(74,1)}
        57:{2,5,6}:{(40,1),(42,1),(50,1),(71,1),(73,1),(75,1),(82,1)}
        58:{2,4,7}:{(40,1),(41,1),(43,1),(72,1),(74,1),(75,1),(95,1),(97,1)}
        59:{1,5,7}:{(42,1),(43,1),(75,1),(76,1)}
        60:{1,3}:{(44,1),(77,1)}
        61:{1,2,7}:{(45,1),(48,1),(95,1)}
        62:{2,4}:{(46,1),(69,1),(77,1),(78,1)}
        63:{1,5}:{(47,1),(50,1)}
        64:{1,4,7}:{(47,1),(48,1),(51,1),(79,1)}
        65:{3,5}:{(49,1),(50,1),(80,1)}
        66:{3,4,7}:{(49,1),(51,1),(74,1),(81,1),(97,1)}
        67:{2,5,7}:{(50,1),(51,1),(52,1),(79,1),(81,1),(82,1)}
        68:{1,6}:{(52,1),(82,1)}
        69:{2,5}:{(53,1),(62,1),(83,1),(84,1)}
        70:{1,3,6}:{(53,1),(54,1),(56,1),(84,1),(85,1)}
        71:{1,5,6}:{(54,1),(57,1),(63,1),(86,1),(91,1)}
        72:{1,4,7}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        73:{3,5,6}:{(56,1),(57,1),(65,1),(87,1),(88,1),(93,1),(103,1)}
        74:{3,7}:{(56,1),(58,1)}
        75:{2,5,7}:{(57,1),(58,1),(59,1),(86,1),(88,1),(89,1)}
        76:{1,6,7}:{(59,1),(68,1),(89,1)}
        77:{2,3}:{(60,1),(62,1),(90,1)}
        78:{1,4}:{(62,1),(83,1),(90,1)}
        79:{1,5,7}:{(63,1),(64,1),(67,1),(91,1)}
        80:{4,5}:{(65,1),(87,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        82:{2,6}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,5}:{(69,1),(78,1),(94,1)}
        84:{2,6}:{(69,1),(70,1),(94,1),(95,1)}
        85:{1,3,7}:{(70,1),(72,1),(74,1),(95,1)}
        86:{1,5,7}:{(71,1),(72,1),(75,1),(96,1)}
        87:{4,6}:{(73,1),(80,1),(97,1)}
        88:{3,5,7}:{(73,1),(74,1),(75,1),(97,1),(98,1),(104,1)}
        89:{2,6,7}:{(75,1),(76,1),(82,1),(96,1),(98,1)}
        90:{1,3}:{(77,1),(78,1),(99,1)}
        91:{1,6}:{(79,1),(82,1)}
        92:{4,5,7}:{(80,1),(81,1),(97,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(82,1),(100,1)}
        94:{1,6}:{(83,1),(84,1),(101,1)}
        95:{2,7}:{(84,1),(85,1),(101,1)}
        96:{1,6,7}:{(86,1),(89,1),(91,1)}
        97:{4,7}:{(87,1),(88,1)}
        98:{3,6,7}:{(88,1),(89,1),(93,1),(102,1)}
        99:{1,2}:{(90,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(94,1),(95,1)}
       102:{4,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

  80 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(41,1),(94,1)}
         1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(7,1),(27,1),(82,1),(83,1)}
         2:{1,2,4}:{(0,1),(5,1),(7,1),(26,1)}
         3:{1,2,6}:{(0,1),(6,1),(8,1),(62,1)}
         4:{2,3,5}:{(1,1),(9,1),(10,1),(11,1),(16,1),(36,1),(39,1),(41,1),(66,1),(67,1)}
         5:{1,4}:{(1,1),(10,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(15,1),(95,1)}
         7:{1,3}:{(2,1),(16,1)}
         8:{1,2,7}:{(3,1),(15,1),(80,1)}
         9:{1,3,5}:{(4,1),(17,1),(18,1),(19,1),(29,1),(48,1),(53,1),(61,1)}
        10:{2,4}:{(4,1),(5,1),(18,1),(21,1)}
        11:{2,3,6}:{(4,1),(6,1),(19,1),(22,1),(23,1),(55,1),(62,1),(84,1)}
        12:{1,4,5}:{(5,1),(20,1),(24,1),(25,1),(27,1),(83,1)}
        13:{1,3,4}:{(5,1),(7,1),(21,1),(24,1),(26,1)}
        14:{1,4,6}:{(5,1),(6,1),(22,1),(27,1),(28,1),(65,1)}
        15:{1,3,7}:{(6,1),(8,1),(23,1),(28,1),(101,1)}
        16:{2,3}:{(7,1),(26,1),(29,1)}
        17:{1,2,5}:{(9,1),(30,1),(31,1),(47,1),(67,1)}
        18:{1,4}:{(9,1),(10,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1),(34,1),(35,1),(79,1)}
        20:{2,4,5}:{(10,1),(12,1),(32,1),(36,1),(37,1),(39,1),(41,1),(67,1),(76,1)}
        21:{3,4}:{(10,1),(36,1)}
        22:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(38,1),(39,1),(40,1),(78,1)}
        23:{2,3,7}:{(11,1),(15,1),(35,1),(40,1),(74,1),(80,1),(96,1)}
        24:{1,3,5}:{(12,1),(13,1),(36,1),(41,1),(42,1)}
        25:{1,4,6}:{(12,1),(37,1),(42,1),(43,1),(44,1),(95,1)}
        26:{2,4}:{(13,1),(16,1),(41,1),(45,1)}
        27:{1,5}:{(14,1),(39,1)}
        28:{1,4,7}:{(14,1),(15,1),(40,1),(46,1)}
        29:{1,3}:{(16,1),(45,1),(47,1)}
        30:{1,2,4}:{(17,1),(18,1),(48,1),(52,1)}
        31:{1,2,6}:{(17,1),(19,1),(49,1),(84,1)}
        32:{1,4,5}:{(18,1),(20,1),(50,1),(51,1),(53,1),(61,1)}
        33:{1,3,4}:{(18,1),(21,1),(48,1),(50,1),(52,1)}
        34:{1,4,6}:{(18,1),(19,1),(22,1),(53,1),(54,1),(87,1)}
        35:{1,3,7}:{(19,1),(23,1),(49,1),(54,1),(93,1)}
        36:{3,5}:{(20,1),(21,1),(55,1)}
        37:{2,4,6}:{(20,1),(25,1),(51,1),(55,1),(56,1),(57,1),(62,1),(84,1),(88,1)}
        38:{3,4,6}:{(21,1),(22,1),(55,1),(58,1),(59,1),(88,1),(92,1)}
        39:{2,5}:{(22,1),(27,1),(53,1),(58,1)}
        40:{2,4,7}:{(22,1),(23,1),(28,1),(54,1),(59,1),(60,1)}
        41:{2,5}:{(24,1),(26,1),(61,1),(62,1)}
        42:{1,3,6}:{(24,1),(25,1),(55,1),(62,1),(63,1)}
        43:{1,5,6}:{(25,1),(27,1),(56,1),(64,1),(65,1)}
        44:{1,4,7}:{(25,1),(57,1),(63,1),(64,1),(101,1)}
        45:{1,4}:{(26,1),(29,1),(61,1)}
        46:{1,5,7}:{(27,1),(28,1),(60,1),(65,1)}
        47:{1,2}:{(29,1)}
        48:{1,3}:{(30,1),(66,1)}
        49:{1,2,7}:{(31,1),(35,1),(96,1)}
        50:{1,3,5}:{(32,1),(33,1),(36,1),(67,1),(68,1)}
        51:{1,4,6}:{(32,1),(37,1),(68,1),(69,1),(70,1),(79,1)}
        52:{2,4}:{(33,1),(66,1),(67,1),(71,1)}
        53:{1,5}:{(34,1),(39,1)}
        54:{1,4,7}:{(34,1),(35,1),(40,1),(72,1)}
        55:{3,6}:{(36,1),(37,1),(74,1)}
        56:{2,5,6}:{(37,1),(39,1),(43,1),(69,1),(73,1),(75,1),(78,1)}
        57:{2,4,7}:{(37,1),(44,1),(70,1),(74,1),(75,1),(80,1),(96,1),(98,1)}
        58:{3,5}:{(38,1),(39,1),(76,1)}
        59:{3,4,7}:{(38,1),(40,1),(74,1),(77,1),(98,1)}
        60:{2,5,7}:{(39,1),(40,1),(46,1),(72,1),(77,1),(78,1)}
        61:{1,5}:{(41,1),(45,1),(79,1)}
        62:{2,6}:{(41,1),(42,1),(79,1),(80,1)}
        63:{1,3,7}:{(42,1),(44,1),(74,1),(80,1)}
        64:{1,5,7}:{(43,1),(44,1),(75,1),(81,1)}
        65:{1,6}:{(46,1),(78,1)}
        66:{2,3}:{(48,1),(52,1),(82,1)}
        67:{2,5}:{(50,1),(52,1),(83,1),(84,1)}
        68:{1,3,6}:{(50,1),(51,1),(55,1),(84,1),(85,1)}
        69:{1,5,6}:{(51,1),(53,1),(56,1),(86,1),(87,1)}
        70:{1,4,7}:{(51,1),(57,1),(85,1),(86,1),(93,1)}
        71:{1,4}:{(52,1),(82,1),(83,1)}
        72:{1,5,7}:{(53,1),(54,1),(60,1),(87,1)}
        73:{3,5,6}:{(55,1),(56,1),(58,1),(88,1),(89,1),(92,1),(103,1)}
        74:{3,7}:{(55,1),(57,1)}
        75:{2,5,7}:{(56,1),(57,1),(64,1),(86,1),(89,1),(90,1)}
        76:{4,5}:{(58,1),(88,1)}
        77:{3,5,7}:{(58,1),(59,1),(60,1),(91,1),(92,1)}
        78:{2,6}:{(60,1),(65,1),(87,1),(92,1)}
        79:{1,6}:{(61,1),(62,1),(93,1)}
        80:{2,7}:{(62,1),(63,1),(93,1)}
        81:{1,6,7}:{(64,1),(65,1),(90,1)}
        82:{1,3}:{(66,1),(71,1),(94,1)}
        83:{1,5}:{(67,1),(71,1),(95,1)}
        84:{2,6}:{(67,1),(68,1),(95,1),(96,1)}
        85:{1,3,7}:{(68,1),(70,1),(74,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(75,1),(97,1)}
        87:{1,6}:{(72,1),(78,1)}
        88:{4,6}:{(73,1),(76,1),(98,1)}
        89:{3,5,7}:{(73,1),(74,1),(75,1),(98,1),(99,1),(104,1)}
        90:{2,6,7}:{(75,1),(78,1),(81,1),(97,1),(99,1)}
        91:{4,5,7}:{(76,1),(77,1),(98,1),(100,1),(104,1)}
        92:{3,6}:{(77,1),(78,1),(100,1)}
        93:{1,7}:{(79,1),(80,1)}
        94:{1,2}:{(82,1)}
        95:{1,6}:{(83,1),(84,1),(101,1)}
        96:{2,7}:{(84,1),(85,1),(101,1)}
        97:{1,6,7}:{(86,1),(87,1),(90,1)}
        98:{4,7}:{(88,1),(89,1)}
        99:{3,6,7}:{(89,1),(90,1),(92,1),(102,1)}
       100:{4,6}:{(91,1),(92,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

  81 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(78,1)}
         1:{1,3,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(101,1)}
         2:{1,2,5}:{(0,1),(6,1),(8,1),(62,1),(100,1)}
         3:{1,2,7}:{(0,1),(7,1),(92,1)}
         4:{2,3,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(75,1),(78,1),(94,1)}
         5:{1,4,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(44,1)}
         6:{1,3,5}:{(1,1),(2,1),(11,1),(13,1),(15,1),(16,1),(93,1),(96,1)}
         7:{1,3,7}:{(1,1),(3,1),(12,1),(14,1),(104,1)}
         8:{1,2,4}:{(2,1),(15,1),(16,1),(45,1)}
         9:{1,3,6}:{(4,1),(17,1),(18,1),(19,1),(20,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(23,1),(24,1),(58,1)}
        11:{2,3,5}:{(4,1),(6,1),(19,1),(22,1),(24,1),(29,1),(57,1),(62,1),(81,1),(85,1)}
        12:{2,3,7}:{(4,1),(7,1),(20,1),(23,1),(90,1),(92,1),(102,1)}
        13:{1,5}:{(5,1),(22,1)}
        14:{1,4,7}:{(5,1),(7,1),(23,1),(27,1)}
        15:{1,4}:{(6,1),(24,1)}
        16:{1,3}:{(8,1),(29,1)}
        17:{1,2,6}:{(9,1),(30,1),(31,1),(94,1)}
        18:{1,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1),(69,1)}
        19:{1,3,5}:{(9,1),(11,1),(30,1),(32,1),(34,1),(46,1),(65,1),(80,1)}
        20:{1,3,7}:{(9,1),(12,1),(31,1),(33,1),(99,1)}
        21:{3,4,6}:{(10,1),(35,1),(36,1),(40,1),(71,1),(74,1),(75,1)}
        22:{2,5}:{(10,1),(13,1),(32,1),(35,1)}
        23:{2,4,7}:{(10,1),(12,1),(14,1),(33,1),(36,1),(39,1)}
        24:{2,4}:{(11,1),(15,1),(34,1),(40,1)}
        25:{1,5,6}:{(13,1),(37,1),(41,1),(42,1),(44,1)}
        26:{1,4,5}:{(13,1),(15,1),(38,1),(41,1),(43,1),(96,1)}
        27:{1,5,7}:{(13,1),(14,1),(39,1),(44,1)}
        28:{1,3,4}:{(15,1),(16,1),(40,1),(43,1),(45,1)}
        29:{2,3}:{(16,1),(45,1),(46,1)}
        30:{1,2,5}:{(17,1),(19,1),(47,1),(64,1),(85,1)}
        31:{1,2,7}:{(17,1),(20,1),(102,1)}
        32:{1,5}:{(18,1),(22,1)}
        33:{1,4,7}:{(18,1),(20,1),(23,1),(50,1)}
        34:{1,4}:{(19,1),(24,1)}
        35:{3,5}:{(21,1),(22,1),(53,1)}
        36:{3,4,7}:{(21,1),(23,1),(54,1),(87,1),(90,1)}
        37:{2,5,6}:{(22,1),(25,1),(48,1),(52,1),(55,1),(56,1),(58,1)}
        38:{2,4,5}:{(22,1),(24,1),(26,1),(49,1),(53,1),(55,1),(57,1),(62,1),(85,1)}
        39:{2,5,7}:{(22,1),(23,1),(27,1),(50,1),(54,1),(58,1)}
        40:{3,4}:{(24,1),(57,1)}
        41:{1,4,6}:{(25,1),(26,1),(55,1),(59,1),(60,1),(101,1)}
        42:{1,5,7}:{(25,1),(56,1),(60,1),(61,1)}
        43:{1,3,5}:{(26,1),(28,1),(57,1),(59,1),(62,1)}
        44:{1,6}:{(27,1),(58,1)}
        45:{2,4}:{(28,1),(29,1),(62,1),(63,1)}
        46:{1,3}:{(29,1),(63,1),(64,1)}
        47:{1,2,4}:{(30,1),(34,1),(65,1),(70,1)}
        48:{1,5,6}:{(32,1),(37,1),(66,1),(67,1),(69,1)}
        49:{1,4,5}:{(32,1),(34,1),(38,1),(66,1),(68,1),(80,1)}
        50:{1,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{1,3,4}:{(34,1),(40,1),(65,1),(68,1),(70,1)}
        52:{3,5,6}:{(35,1),(37,1),(71,1),(72,1),(74,1),(75,1),(98,1)}
        53:{4,5}:{(35,1),(71,1)}
        54:{3,5,7}:{(35,1),(36,1),(39,1),(73,1),(74,1)}
        55:{2,4,6}:{(37,1),(38,1),(41,1),(66,1),(71,1),(75,1),(76,1),(78,1),(94,1)}
        56:{2,5,7}:{(37,1),(42,1),(67,1),(72,1),(76,1),(77,1)}
        57:{3,5}:{(38,1),(40,1),(75,1)}
        58:{2,6}:{(39,1),(44,1),(69,1),(74,1)}
        59:{1,3,6}:{(41,1),(43,1),(75,1),(78,1),(79,1)}
        60:{1,4,7}:{(41,1),(42,1),(76,1),(79,1),(104,1)}
        61:{1,6,7}:{(42,1),(44,1),(77,1)}
        62:{2,5}:{(43,1),(45,1),(78,1),(80,1)}
        63:{1,4}:{(45,1),(46,1),(80,1)}
        64:{1,2}:{(46,1)}
        65:{1,3}:{(47,1),(81,1)}
        66:{1,4,6}:{(48,1),(49,1),(55,1),(82,1),(83,1),(91,1)}
        67:{1,5,7}:{(48,1),(56,1),(83,1),(84,1)}
        68:{1,3,5}:{(49,1),(51,1),(57,1),(82,1),(85,1)}
        69:{1,6}:{(50,1),(58,1)}
        70:{2,4}:{(51,1),(81,1),(85,1),(86,1)}
        71:{4,6}:{(52,1),(53,1),(87,1)}
        72:{3,5,7}:{(52,1),(56,1),(87,1),(88,1),(90,1),(103,1)}
        73:{4,5,7}:{(53,1),(54,1),(87,1),(89,1),(103,1)}
        74:{3,6}:{(54,1),(58,1),(89,1)}
        75:{3,6}:{(55,1),(57,1),(90,1)}
        76:{2,4,7}:{(55,1),(56,1),(60,1),(83,1),(87,1),(90,1),(92,1),(102,1)}
        77:{2,6,7}:{(56,1),(58,1),(61,1),(84,1),(88,1)}
        78:{2,6}:{(59,1),(62,1),(91,1),(92,1)}
        79:{1,3,7}:{(59,1),(60,1),(90,1),(92,1)}
        80:{1,5}:{(62,1),(63,1),(91,1)}
        81:{2,3}:{(65,1),(70,1),(93,1)}
        82:{1,3,6}:{(66,1),(68,1),(75,1),(94,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(76,1),(95,1),(99,1)}
        84:{1,6,7}:{(67,1),(69,1),(77,1)}
        85:{2,5}:{(68,1),(70,1),(94,1),(96,1)}
        86:{1,4}:{(70,1),(93,1),(96,1)}
        87:{4,7}:{(71,1),(72,1)}
        88:{3,6,7}:{(72,1),(74,1),(77,1),(97,1)}
        89:{4,6}:{(73,1),(74,1),(98,1)}
        90:{3,7}:{(75,1),(76,1)}
        91:{1,6}:{(78,1),(80,1),(99,1)}
        92:{2,7}:{(78,1),(79,1),(99,1)}
        93:{1,3}:{(81,1),(86,1),(100,1)}
        94:{2,6}:{(82,1),(85,1),(101,1),(102,1)}
        95:{1,3,7}:{(82,1),(83,1),(90,1),(102,1)}
        96:{1,5}:{(85,1),(86,1),(101,1)}
        97:{4,6,7}:{(87,1),(88,1),(89,1),(103,1)}
        98:{5,6}:{(89,1),(103,1)}
        99:{1,7}:{(91,1),(92,1)}
       100:{1,2}:{(93,1)}
       101:{1,6}:{(94,1),(96,1),(104,1)}
       102:{2,7}:{(94,1),(95,1),(104,1)}
       103:{5,7}:{(97,1),(98,1)}
       104:{1,7}:{(101,1),(102,1)}

  82 :   0:{1,2,7}:{(1,1),(2,1),(94,1)}
         1:{1,3,7}:{(0,1),(3,1),(4,1),(5,1),(104,1)}
         2:{1,2,6}:{(0,1),(5,1),(6,1),(84,1)}
         3:{2,3,7}:{(1,1),(7,1),(8,1),(9,1),(93,1),(94,1),(102,1)}
         4:{1,4,7}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,3,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(103,1)}
         6:{1,2,5}:{(2,1),(12,1),(13,1),(69,1),(101,1)}
         7:{1,3,7}:{(3,1),(14,1),(15,1),(16,1),(100,1)}
         8:{2,4,7}:{(3,1),(4,1),(15,1),(17,1),(18,1),(19,1)}
         9:{2,3,6}:{(3,1),(5,1),(16,1),(19,1),(20,1),(82,1),(84,1),(98,1)}
        10:{1,5,7}:{(4,1),(18,1),(21,1),(22,1)}
        11:{1,4,6}:{(4,1),(5,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,5}:{(5,1),(6,1),(20,1),(22,1),(23,1),(24,1),(96,1),(99,1)}
        13:{1,2,4}:{(6,1),(23,1),(24,1),(53,1)}
        14:{1,2,7}:{(7,1),(25,1),(102,1)}
        15:{1,4,7}:{(7,1),(8,1),(26,1),(27,1)}
        16:{1,3,6}:{(7,1),(9,1),(25,1),(27,1),(28,1),(95,1)}
        17:{3,4,7}:{(8,1),(29,1),(30,1),(92,1),(93,1)}
        18:{2,5,7}:{(8,1),(10,1),(26,1),(29,1),(31,1),(32,1)}
        19:{2,4,6}:{(8,1),(9,1),(11,1),(27,1),(30,1),(31,1),(32,1),(33,1)}
        20:{2,3,5}:{(9,1),(12,1),(28,1),(32,1),(33,1),(38,1),(66,1),(69,1),(86,1),(89,1)}
        21:{1,6}:{(10,1),(31,1)}
        22:{1,5}:{(11,1),(32,1)}
        23:{1,4}:{(12,1),(33,1)}
        24:{1,3}:{(13,1),(38,1)}
        25:{1,2,6}:{(14,1),(16,1),(39,1),(98,1)}
        26:{1,5,7}:{(15,1),(18,1),(40,1),(41,1)}
        27:{1,4,6}:{(15,1),(16,1),(19,1),(40,1),(41,1),(42,1)}
        28:{1,3,5}:{(16,1),(20,1),(39,1),(41,1),(42,1),(54,1),(72,1),(85,1)}
        29:{3,5,7}:{(17,1),(18,1),(43,1),(44,1),(45,1)}
        30:{3,4,6}:{(17,1),(19,1),(44,1),(45,1),(49,1),(80,1),(82,1)}
        31:{2,6}:{(18,1),(21,1),(40,1),(44,1)}
        32:{2,5}:{(19,1),(22,1),(41,1),(45,1)}
        33:{2,4}:{(20,1),(23,1),(42,1),(49,1)}
        34:{1,6,7}:{(21,1),(46,1),(50,1)}
        35:{1,5,6}:{(21,1),(22,1),(47,1),(50,1),(51,1)}
        36:{1,4,5}:{(22,1),(23,1),(48,1),(51,1),(52,1),(99,1)}
        37:{1,3,4}:{(23,1),(24,1),(49,1),(52,1),(53,1)}
        38:{2,3}:{(24,1),(53,1),(54,1)}
        39:{1,2,5}:{(25,1),(28,1),(55,1),(71,1),(89,1)}
        40:{1,6}:{(26,1),(31,1)}
        41:{1,5}:{(27,1),(32,1)}
        42:{1,4}:{(28,1),(33,1)}
        43:{4,5,7}:{(29,1),(60,1),(63,1),(91,1),(92,1)}
        44:{3,6}:{(29,1),(31,1),(60,1)}
        45:{3,5}:{(30,1),(32,1),(63,1)}
        46:{2,6,7}:{(31,1),(34,1),(56,1),(61,1),(64,1)}
        47:{2,5,6}:{(31,1),(32,1),(35,1),(57,1),(62,1),(64,1),(65,1)}
        48:{2,4,5}:{(32,1),(33,1),(36,1),(58,1),(63,1),(65,1),(66,1),(69,1),(89,1)}
        49:{3,4}:{(33,1),(66,1)}
        50:{1,5,7}:{(34,1),(35,1),(64,1),(67,1)}
        51:{1,4,6}:{(35,1),(36,1),(65,1),(67,1),(68,1),(103,1)}
        52:{1,3,5}:{(36,1),(37,1),(66,1),(68,1),(69,1)}
        53:{2,4}:{(37,1),(38,1),(69,1),(70,1)}
        54:{1,3}:{(38,1),(70,1),(71,1)}
        55:{1,2,4}:{(39,1),(42,1),(72,1),(76,1)}
        56:{1,6,7}:{(40,1),(46,1),(73,1)}
        57:{1,5,6}:{(40,1),(41,1),(47,1),(73,1),(74,1)}
        58:{1,4,5}:{(41,1),(42,1),(48,1),(74,1),(75,1),(85,1)}
        59:{1,3,4}:{(42,1),(49,1),(72,1),(75,1),(76,1)}
        60:{4,6}:{(43,1),(44,1),(78,1)}
        61:{3,6,7}:{(44,1),(46,1),(77,1),(79,1)}
        62:{3,5,6}:{(44,1),(45,1),(47,1),(78,1),(79,1),(80,1),(82,1)}
        63:{4,5}:{(45,1),(80,1)}
        64:{2,5,7}:{(46,1),(47,1),(50,1),(73,1),(79,1),(81,1)}
        65:{2,4,6}:{(47,1),(48,1),(51,1),(74,1),(80,1),(81,1),(82,1),(84,1),(98,1)}
        66:{3,5}:{(48,1),(49,1),(82,1)}
        67:{1,4,7}:{(50,1),(51,1),(81,1),(83,1),(104,1)}
        68:{1,3,6}:{(51,1),(52,1),(82,1),(83,1),(84,1)}
        69:{2,5}:{(52,1),(53,1),(84,1),(85,1)}
        70:{1,4}:{(53,1),(54,1),(85,1)}
        71:{1,2}:{(54,1)}
        72:{1,3}:{(55,1),(86,1)}
        73:{1,5,7}:{(56,1),(57,1),(64,1),(87,1)}
        74:{1,4,6}:{(57,1),(58,1),(65,1),(87,1),(88,1),(95,1)}
        75:{1,3,5}:{(58,1),(59,1),(66,1),(88,1),(89,1)}
        76:{2,4}:{(59,1),(86,1),(89,1),(90,1)}
        77:{4,6,7}:{(60,1),(61,1),(91,1),(92,1)}
        78:{5,6}:{(60,1),(91,1)}
        79:{3,5,7}:{(61,1),(62,1),(64,1),(91,1),(92,1),(93,1)}
        80:{4,6}:{(62,1),(63,1),(92,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(87,1),(92,1),(93,1),(94,1),(102,1)}
        82:{3,6}:{(65,1),(66,1),(93,1)}
        83:{1,3,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{2,6}:{(68,1),(69,1),(94,1),(95,1)}
        85:{1,5}:{(69,1),(70,1),(95,1)}
        86:{2,3}:{(72,1),(76,1),(96,1)}
        87:{1,4,7}:{(73,1),(74,1),(81,1),(97,1),(100,1)}
        88:{1,3,6}:{(74,1),(75,1),(82,1),(97,1),(98,1)}
        89:{2,5}:{(75,1),(76,1),(98,1),(99,1)}
        90:{1,4}:{(76,1),(96,1),(99,1)}
        91:{5,7}:{(77,1),(78,1)}
        92:{4,7}:{(79,1),(80,1)}
        93:{3,7}:{(81,1),(82,1)}
        94:{2,7}:{(83,1),(84,1),(100,1)}
        95:{1,6}:{(84,1),(85,1),(100,1)}
        96:{1,3}:{(86,1),(90,1),(101,1)}
        97:{1,3,7}:{(87,1),(88,1),(93,1),(102,1)}
        98:{2,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{1,5}:{(89,1),(90,1),(103,1)}
       100:{1,7}:{(94,1),(95,1)}
       101:{1,2}:{(96,1)}
       102:{2,7}:{(97,1),(98,1),(104,1)}
       103:{1,6}:{(98,1),(99,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

  83 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  84 :  0:{1,3,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(53,1)}
        1:{2,6}:{(0,1),(5,1),(7,1),(8,1),(54,1)}
        2:{1,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(28,1),(37,1),(50,1)}
        3:{1,3,5}:{(0,1),(7,1),(9,1),(11,1),(24,1),(27,1)}
        4:{1,3,7}:{(0,1),(8,1),(10,1),(25,1)}
        5:{1,6}:{(1,1),(13,1),(14,1),(55,1)}
        6:{2,4,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(18,1),(29,1),(34,1),(36,1),(47,1),(49,1)}
        7:{2,5}:{(1,1),(3,1),(13,1),(18,1)}
        8:{2,7}:{(1,1),(4,1),(14,1)}
        9:{1,5}:{(2,1),(16,1)}
       10:{1,4,7}:{(2,1),(4,1),(17,1),(19,1),(46,1)}
       11:{1,4}:{(3,1),(18,1),(34,1),(48,1)}
       12:{1,4,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(23,1),(40,1),(41,1)}
       13:{1,5}:{(5,1),(7,1),(23,1)}
       14:{1,7}:{(5,1),(8,1)}
       15:{3,6}:{(6,1),(24,1),(25,1),(27,1),(51,1)}
       16:{2,5}:{(6,1),(9,1),(21,1),(24,1),(52,1)}
       17:{2,4,7}:{(6,1),(8,1),(10,1),(22,1),(25,1),(26,1),(39,1),(43,1)}
       18:{2,4}:{(7,1),(11,1),(23,1),(27,1),(42,1)}
       19:{1,5,7}:{(9,1),(10,1),(26,1),(28,1)}
       20:{1,3,6}:{(12,1),(15,1),(29,1),(30,1),(31,1),(33,1)}
       21:{1,5}:{(12,1),(16,1)}
       22:{1,4,7}:{(12,1),(14,1),(17,1),(31,1),(32,1)}
       23:{1,4}:{(13,1),(18,1),(33,1)}
       24:{3,5}:{(15,1),(16,1),(34,1)}
       25:{3,7}:{(15,1),(17,1)}
       26:{2,5,7}:{(16,1),(17,1),(19,1),(32,1),(35,1),(36,1)}
       27:{3}:{(18,1)}
       28:{1,6}:{(19,1),(36,1)}
       29:{2,6}:{(20,1),(37,1),(38,1),(39,1),(42,1)}
       30:{1,3,5}:{(20,1),(21,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,3,7}:{(20,1),(22,1),(25,1),(39,1)}
       32:{1,5,7}:{(21,1),(22,1),(26,1),(41,1)}
       33:{1,3}:{(23,1),(27,1),(42,1)}
       34:{4}:{(24,1)}
       35:{3,5,7}:{(24,1),(25,1),(26,1),(43,1),(44,1),(52,1)}
       36:{2,6}:{(26,1),(28,1),(41,1),(44,1)}
       37:{1,6}:{(29,1),(45,1),(46,1),(48,1)}
       38:{2,5}:{(29,1),(30,1),(45,1),(47,1)}
       39:{2,7}:{(29,1),(31,1),(46,1)}
       40:{1,4}:{(30,1),(34,1),(47,1),(55,1)}
       41:{1,6}:{(32,1),(36,1)}
       42:{2}:{(33,1),(48,1)}
       43:{4,7}:{(34,1),(35,1),(49,1)}
       44:{3,6}:{(35,1),(36,1),(49,1)}
       45:{1,5}:{(37,1),(38,1),(50,1)}
       46:{1,7}:{(37,1),(39,1)}
       47:{2,4}:{(38,1),(40,1),(50,1),(51,1),(54,1)}
       48:{1}:{(42,1)}
       49:{4,6}:{(43,1),(44,1),(52,1)}
       50:{1,4}:{(45,1),(47,1),(53,1)}
       51:{3}:{(47,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  85 :  0:{1,3,7}:{(1,1),(2,1),(3,1),(12,1)}
        1:{2,7}:{(0,1),(4,1),(6,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(8,1),(37,1)}
        3:{1,3,6}:{(0,1),(6,1),(8,1),(9,1),(24,1),(53,1)}
        4:{1,7}:{(1,1),(11,1)}
        5:{2,4,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(28,1),(33,1)}
        6:{2,6}:{(1,1),(3,1),(11,1),(15,1),(54,1)}
        7:{1,5,7}:{(2,1),(13,1),(16,1),(17,1)}
        8:{1,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(18,1),(43,1),(51,1)}
        9:{1,3,5}:{(3,1),(15,1),(17,1),(18,1),(35,1),(36,1)}
       10:{1,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1)}
       11:{1,6}:{(4,1),(6,1),(22,1),(55,1)}
       12:{3,7}:{(5,1),(24,1)}
       13:{2,5,7}:{(5,1),(7,1),(20,1),(23,1),(25,1),(26,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(27,1),(38,1),(41,1),(42,1),(49,1)}
       15:{2,5}:{(6,1),(9,1),(22,1),(27,1)}
       16:{1,6}:{(7,1),(25,1)}
       17:{1,5}:{(8,1),(26,1)}
       18:{1,4}:{(9,1),(27,1),(42,1),(50,1)}
       19:{1,3,7}:{(10,1),(12,1),(28,1),(29,1)}
       20:{1,5,7}:{(10,1),(13,1),(30,1),(31,1)}
       21:{1,4,6}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(45,1)}
       22:{1,5}:{(11,1),(15,1),(32,1)}
       23:{3,5,7}:{(12,1),(13,1),(33,1),(34,1),(35,1),(47,1)}
       24:{3,6}:{(12,1),(14,1),(35,1),(36,1),(52,1)}
       25:{2,6}:{(13,1),(16,1),(30,1),(34,1)}
       26:{2,5}:{(14,1),(17,1),(31,1),(35,1),(47,1)}
       27:{2,4}:{(15,1),(18,1),(32,1),(36,1),(46,1)}
       28:{2,7}:{(19,1),(37,1),(38,1)}
       29:{1,3,6}:{(19,1),(21,1),(24,1),(38,1),(39,1),(40,1)}
       30:{1,6}:{(20,1),(25,1)}
       31:{1,5}:{(21,1),(26,1)}
       32:{1,4}:{(22,1),(27,1),(40,1)}
       33:{4,7}:{(23,1),(41,1),(42,1)}
       34:{3,6}:{(23,1),(25,1),(41,1)}
       35:{3,5}:{(24,1),(26,1),(42,1)}
       36:{3}:{(27,1)}
       37:{1,7}:{(28,1),(43,1)}
       38:{2,6}:{(28,1),(29,1),(43,1),(44,1),(46,1)}
       39:{1,3,5}:{(29,1),(31,1),(35,1),(44,1),(45,1),(52,1)}
       40:{1,3}:{(32,1),(36,1),(46,1)}
       41:{4,6}:{(33,1),(34,1),(47,1)}
       42:{4}:{(35,1)}
       43:{1,6}:{(37,1),(38,1),(48,1),(50,1)}
       44:{2,5}:{(38,1),(39,1),(48,1),(49,1)}
       45:{1,4}:{(39,1),(42,1),(49,1),(55,1)}
       46:{2}:{(40,1),(50,1)}
       47:{5}:{(41,1)}
       48:{1,5}:{(43,1),(44,1),(51,1)}
       49:{2,4}:{(44,1),(45,1),(51,1),(52,1),(54,1)}
       50:{1}:{(46,1)}
       51:{1,4}:{(48,1),(49,1),(53,1)}
       52:{3}:{(49,1)}
       53:{1,3}:{(51,1),(52,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

  86 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(17,1),(20,1),(39,1),(43,1)}
         1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(23,1),(29,1),(60,1),(61,1),(64,1)}
         2:{2,4}:{(0,1),(5,1),(8,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(31,1),(65,1)}
         4:{2,5}:{(1,1),(11,1),(12,1),(81,1)}
         5:{1,4}:{(1,1),(2,1),(11,1),(82,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(40,1),(85,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(20,1),(43,1),(52,1),(106,1),(129,1),(140,1)}
         8:{3,4}:{(2,1),(17,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(15,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(16,1),(21,1),(50,1),(86,1)}
        11:{2,4}:{(4,1),(5,1),(23,1)}
        12:{2,6}:{(4,1),(6,1),(25,1)}
        13:{1,4,5}:{(5,1),(7,1),(22,1),(26,1),(27,1),(29,1),(64,1),(91,1),(120,1)}
        14:{1,3,4}:{(5,1),(8,1),(23,1),(26,1),(28,1),(55,1),(60,1),(91,1),(118,1)}
        15:{1,4,6}:{(5,1),(6,1),(9,1),(24,1),(29,1),(30,1),(68,1)}
        16:{1,3,7}:{(6,1),(10,1),(25,1),(30,1),(62,1),(103,1)}
        17:{3,5}:{(7,1),(8,1),(31,1),(118,1)}
        18:{2,4,6}:{(7,1),(27,1),(31,1),(32,1),(33,1),(65,1),(69,1)}
        19:{3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(69,1),(73,1)}
        20:{2,5}:{(9,1),(29,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(13,1),(37,1),(38,1),(41,1),(43,1),(74,1),(82,1),(108,1),(110,1)}
        23:{3}:{(11,1)}
        24:{2,4,6}:{(11,1),(12,1),(15,1),(40,1),(41,1),(42,1),(82,1),(84,1),(116,1)}
        25:{2,7}:{(12,1),(16,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(37,1),(43,1),(44,1)}
        27:{1,4,6}:{(13,1),(18,1),(38,1),(44,1),(45,1),(46,1),(85,1)}
        28:{2,4}:{(14,1),(39,1),(43,1),(47,1),(81,1)}
        29:{1,5}:{(15,1),(20,1),(41,1)}
        30:{1,4,7}:{(15,1),(16,1),(21,1),(42,1),(48,1)}
        31:{3,6}:{(17,1),(18,1),(50,1)}
        32:{2,5,6}:{(18,1),(20,1),(45,1),(49,1),(51,1),(54,1),(129,1),(142,1)}
        33:{2,4,7}:{(18,1),(46,1),(50,1),(51,1),(86,1),(88,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(50,1),(53,1),(88,1)}
        36:{2,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(23,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(27,1),(57,1),(58,1),(59,1),(65,1),(98,1)}
        39:{2,3}:{(23,1),(28,1),(60,1),(118,1)}
        40:{3,6}:{(23,1),(24,1),(61,1),(62,1)}
        41:{2,5}:{(24,1),(29,1),(61,1),(127,1)}
        42:{2,4,7}:{(24,1),(25,1),(30,1),(62,1),(63,1),(101,1)}
        43:{2,5}:{(26,1),(28,1),(64,1),(65,1)}
        44:{1,3,6}:{(26,1),(27,1),(31,1),(57,1),(65,1),(66,1)}
        45:{1,5,6}:{(27,1),(29,1),(32,1),(58,1),(67,1),(68,1),(120,1),(138,1)}
        46:{1,4,7}:{(27,1),(33,1),(59,1),(66,1),(67,1),(103,1)}
        47:{1,4}:{(28,1),(60,1),(64,1)}
        48:{1,5,7}:{(29,1),(30,1),(36,1),(63,1),(68,1)}
        49:{3,5,6}:{(31,1),(32,1),(34,1),(69,1),(70,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        50:{3,7}:{(31,1),(33,1)}
        51:{2,5,7}:{(32,1),(33,1),(67,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(69,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(68,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(82,1)}
        56:{2,3,5}:{(37,1),(39,1),(43,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(45,1),(78,1),(80,1),(84,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(46,1),(79,1),(80,1),(86,1),(114,1)}
        60:{1,3}:{(39,1),(47,1),(81,1)}
        61:{3,5}:{(40,1),(41,1),(82,1)}
        62:{3,7}:{(40,1),(42,1)}
        63:{2,5,7}:{(41,1),(42,1),(48,1),(83,1),(84,1)}
        64:{1,5}:{(43,1),(47,1),(85,1)}
        65:{2,6}:{(43,1),(44,1),(85,1),(86,1)}
        66:{1,3,7}:{(44,1),(46,1),(50,1),(79,1),(86,1)}
        67:{1,5,7}:{(45,1),(46,1),(51,1),(80,1),(87,1)}
        68:{1,6}:{(48,1),(54,1),(84,1)}
        69:{4,6}:{(49,1),(52,1),(88,1),(140,1)}
        70:{3,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1),(117,1)}
        71:{2,6,7}:{(51,1),(54,1),(87,1),(89,1),(142,1)}
        72:{4,5,7}:{(52,1),(53,1),(88,1),(90,1),(117,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(64,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(65,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(61,1),(93,1),(98,1),(99,1),(102,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(67,1),(99,1),(100,1)}
        81:{2}:{(60,1)}
        82:{4}:{(61,1)}
        83:{3,5,7}:{(61,1),(62,1),(63,1),(101,1),(102,1),(127,1)}
        84:{2,6}:{(63,1),(68,1),(102,1)}
        85:{1,6}:{(64,1),(65,1),(103,1)}
        86:{2,7}:{(65,1),(66,1),(103,1)}
        87:{1,6,7}:{(67,1),(68,1),(71,1),(100,1),(138,1)}
        88:{4,7}:{(69,1),(70,1)}
        89:{3,6,7}:{(70,1),(71,1),(73,1),(104,1),(144,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(81,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(85,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(86,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(82,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(84,1),(87,1),(115,1),(132,1)}
       101:{4,7}:{(82,1),(83,1),(116,1)}
       102:{3,6}:{(83,1),(84,1),(116,1)}
       103:{1,7}:{(85,1),(86,1)}
       104:{4,6,7}:{(88,1),(89,1),(90,1),(117,1),(145,1)}
       105:{5,6}:{(90,1),(117,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(103,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(102,1),(124,1),(126,1)}
       116:{4,6}:{(101,1),(102,1),(127,1)}
       117:{5,7}:{(104,1),(105,1),(146,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(116,1),(133,1),(134,1)}
       127:{5}:{(116,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  87 :   0:{2,3,6}:{(1,1),(2,1),(3,1),(4,1),(55,1),(85,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(100,1)}
         2:{2,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(12,1),(39,1)}
         3:{2,3,5}:{(0,1),(7,1),(10,1),(12,1),(38,1),(65,1),(69,1)}
         4:{2,3,7}:{(0,1),(8,1),(11,1),(74,1),(101,1)}
         5:{2,6}:{(1,1),(14,1),(15,1)}
         6:{1,4,6}:{(1,1),(2,1),(13,1),(16,1),(17,1),(18,1),(49,1)}
         7:{1,3,5}:{(1,1),(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(84,1),(87,1)}
         8:{1,3,7}:{(1,1),(4,1),(15,1),(17,1),(41,1),(113,1)}
         9:{3,4,6}:{(2,1),(19,1),(20,1),(24,1),(51,1),(54,1),(55,1)}
        10:{2,5}:{(2,1),(16,1),(19,1)}
        11:{2,4,7}:{(2,1),(4,1),(17,1),(20,1),(23,1)}
        12:{2,4}:{(3,1),(18,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(27,1),(28,1),(59,1),(64,1),(95,1)}
        14:{2,5}:{(5,1),(7,1),(28,1),(99,1)}
        15:{2,7}:{(5,1),(8,1)}
        16:{1,5}:{(6,1),(10,1),(26,1)}
        17:{1,4,7}:{(6,1),(8,1),(11,1),(27,1),(31,1)}
        18:{1,4}:{(7,1),(12,1),(28,1),(59,1)}
        19:{3,5}:{(9,1),(10,1),(34,1)}
        20:{3,4,7}:{(9,1),(11,1),(35,1),(71,1),(74,1)}
        21:{2,5,6}:{(10,1),(29,1),(33,1),(36,1),(37,1),(39,1),(131,1),(142,1)}
        22:{2,4,5}:{(10,1),(12,1),(30,1),(34,1),(36,1),(38,1),(69,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(10,1),(11,1),(31,1),(35,1),(39,1)}
        24:{3,4}:{(12,1),(38,1),(140,1)}
        25:{3,6}:{(13,1),(40,1),(41,1),(45,1)}
        26:{2,5}:{(13,1),(16,1),(40,1),(109,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(41,1),(44,1),(78,1)}
        28:{2,4}:{(14,1),(18,1),(45,1)}
        29:{1,5,6}:{(16,1),(21,1),(42,1),(46,1),(47,1),(49,1),(123,1),(138,1)}
        30:{1,4,5}:{(16,1),(18,1),(22,1),(43,1),(46,1),(48,1),(87,1),(108,1),(123,1)}
        31:{1,5,7}:{(16,1),(17,1),(23,1),(44,1),(49,1)}
        32:{1,3,4}:{(18,1),(24,1),(45,1),(48,1),(50,1),(77,1),(84,1),(108,1),(129,1)}
        33:{3,5,6}:{(19,1),(21,1),(51,1),(52,1),(54,1),(55,1),(89,1),(136,1),(144,1),(146,1)}
        34:{4,5}:{(19,1),(51,1),(146,1)}
        35:{3,5,7}:{(19,1),(20,1),(23,1),(53,1),(54,1)}
        36:{2,4,6}:{(21,1),(22,1),(46,1),(51,1),(55,1),(56,1),(85,1)}
        37:{2,5,7}:{(21,1),(47,1),(52,1),(56,1),(57,1)}
        38:{3,5}:{(22,1),(24,1),(55,1),(129,1)}
        39:{2,6}:{(23,1),(49,1),(54,1)}
        40:{3,5}:{(25,1),(26,1),(59,1)}
        41:{3,7}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(29,1),(58,1),(61,1),(62,1),(64,1),(114,1),(133,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(59,1),(61,1),(63,1),(69,1),(90,1),(94,1),(114,1)}
        44:{2,5,7}:{(26,1),(27,1),(31,1),(60,1),(64,1)}
        45:{3}:{(28,1)}
        46:{1,4,6}:{(29,1),(30,1),(36,1),(61,1),(66,1),(67,1),(100,1)}
        47:{1,5,7}:{(29,1),(37,1),(62,1),(67,1),(68,1)}
        48:{1,3,5}:{(30,1),(32,1),(38,1),(63,1),(66,1),(69,1)}
        49:{1,6}:{(31,1),(39,1),(64,1)}
        50:{2,4}:{(32,1),(65,1),(69,1),(70,1),(99,1)}
        51:{4,6}:{(33,1),(34,1),(71,1),(140,1)}
        52:{3,5,7}:{(33,1),(37,1),(71,1),(72,1),(74,1),(102,1)}
        53:{4,5,7}:{(34,1),(35,1),(71,1),(73,1),(102,1)}
        54:{3,6}:{(35,1),(39,1),(73,1)}
        55:{3,6}:{(36,1),(38,1),(74,1)}
        56:{2,4,7}:{(36,1),(37,1),(67,1),(71,1),(74,1),(101,1)}
        57:{2,6,7}:{(37,1),(39,1),(68,1),(72,1),(142,1)}
        58:{3,5,6}:{(40,1),(42,1),(75,1),(76,1),(79,1),(80,1),(103,1),(109,1),(125,1),(126,1)}
        59:{4}:{(40,1)}
        60:{3,5,7}:{(40,1),(41,1),(44,1),(78,1),(79,1),(109,1)}
        61:{2,4,6}:{(42,1),(43,1),(46,1),(75,1),(80,1),(81,1),(85,1)}
        62:{2,5,7}:{(42,1),(47,1),(76,1),(81,1),(82,1)}
        63:{3,5}:{(43,1),(45,1),(77,1),(80,1)}
        64:{2,6}:{(44,1),(49,1),(79,1)}
        65:{2,3}:{(45,1),(50,1),(84,1),(129,1)}
        66:{1,3,6}:{(46,1),(48,1),(55,1),(80,1),(85,1),(86,1)}
        67:{1,4,7}:{(46,1),(47,1),(56,1),(81,1),(86,1),(113,1)}
        68:{1,6,7}:{(47,1),(49,1),(57,1),(82,1),(138,1)}
        69:{2,5}:{(48,1),(50,1),(85,1),(87,1)}
        70:{1,4}:{(50,1),(84,1),(87,1)}
        71:{4,7}:{(51,1),(52,1)}
        72:{3,6,7}:{(52,1),(54,1),(57,1),(88,1),(144,1)}
        73:{4,6}:{(53,1),(54,1),(89,1)}
        74:{3,7}:{(55,1),(56,1)}
        75:{4,6}:{(58,1),(59,1),(90,1),(92,1)}
        76:{3,5,7}:{(58,1),(62,1),(92,1),(93,1),(97,1),(119,1)}
        77:{3,4}:{(59,1),(63,1),(94,1)}
        78:{4,7}:{(59,1),(60,1),(95,1)}
        79:{3,6}:{(60,1),(64,1),(95,1)}
        80:{3,6}:{(61,1),(63,1),(97,1)}
        81:{2,4,7}:{(61,1),(62,1),(67,1),(92,1),(97,1),(101,1)}
        82:{2,6,7}:{(62,1),(64,1),(68,1),(93,1),(133,1)}
        83:{2,3,5}:{(63,1),(65,1),(69,1),(94,1),(96,1),(98,1),(114,1)}
        84:{1,3}:{(65,1),(70,1),(99,1)}
        85:{2,6}:{(66,1),(69,1),(100,1),(101,1)}
        86:{1,3,7}:{(66,1),(67,1),(74,1),(97,1),(101,1)}
        87:{1,5}:{(69,1),(70,1),(100,1)}
        88:{4,6,7}:{(71,1),(72,1),(73,1),(102,1),(145,1)}
        89:{5,6}:{(73,1),(102,1)}
        90:{4,5}:{(75,1),(103,1),(109,1)}
        91:{3,4,6}:{(75,1),(77,1),(80,1),(103,1),(105,1),(106,1),(125,1)}
        92:{4,7}:{(75,1),(76,1)}
        93:{3,6,7}:{(76,1),(79,1),(82,1),(107,1),(125,1)}
        94:{2,4}:{(77,1),(83,1),(108,1)}
        95:{4,6}:{(78,1),(79,1),(109,1)}
        96:{2,3,6}:{(80,1),(83,1),(85,1),(105,1),(110,1),(111,1)}
        97:{3,7}:{(80,1),(81,1)}
        98:{1,3,5}:{(83,1),(84,1),(87,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
        99:{2}:{(84,1)}
       100:{1,6}:{(85,1),(87,1),(113,1)}
       101:{2,7}:{(85,1),(86,1),(113,1)}
       102:{5,7}:{(88,1),(89,1),(146,1)}
       103:{3,5}:{(90,1),(91,1),(114,1)}
       104:{4,5,7}:{(90,1),(92,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(91,1),(94,1),(96,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(91,1),(92,1),(97,1),(115,1),(118,1)}
       107:{4,6,7}:{(92,1),(93,1),(95,1),(116,1),(119,1)}
       108:{1,4}:{(94,1),(98,1),(120,1),(140,1)}
       109:{5}:{(95,1)}
       110:{1,3,6}:{(96,1),(98,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(96,1),(97,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(98,1),(99,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  88 :   0:{2,3,7}:{(1,1),(2,1),(3,1),(82,1),(104,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(115,1)}
         2:{2,4,7}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(67,1),(93,1)}
         4:{2,7}:{(1,1),(12,1)}
         5:{1,4,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(36,1),(105,1)}
         7:{3,4,7}:{(2,1),(16,1),(17,1),(81,1),(82,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(18,1),(19,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1),(20,1)}
        10:{2,3,5}:{(3,1),(15,1),(19,1),(20,1),(50,1),(75,1),(78,1)}
        11:{2,4,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(51,1)}
        12:{2,6}:{(4,1),(6,1),(24,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1),(26,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(23,1),(25,1),(26,1),(27,1)}
        15:{1,3,5}:{(6,1),(10,1),(24,1),(26,1),(27,1),(53,1),(57,1),(91,1),(94,1)}
        16:{3,5,7}:{(7,1),(8,1),(28,1),(29,1),(30,1)}
        17:{3,4,6}:{(7,1),(9,1),(29,1),(30,1),(34,1),(65,1),(67,1)}
        18:{2,6}:{(8,1),(25,1),(29,1)}
        19:{2,5}:{(9,1),(26,1),(30,1)}
        20:{2,4}:{(10,1),(27,1),(34,1)}
        21:{3,7}:{(11,1),(36,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(36,1),(37,1),(38,1),(39,1),(68,1),(71,1)}
        24:{2,5}:{(12,1),(15,1),(39,1),(103,1)}
        25:{1,6}:{(13,1),(18,1),(37,1)}
        26:{1,5}:{(14,1),(19,1),(38,1)}
        27:{1,4}:{(15,1),(20,1),(39,1),(71,1)}
        28:{4,5,7}:{(16,1),(44,1),(47,1),(80,1),(81,1)}
        29:{3,6}:{(16,1),(18,1),(44,1)}
        30:{3,5}:{(17,1),(19,1),(47,1)}
        31:{2,6,7}:{(18,1),(40,1),(45,1),(48,1),(140,1)}
        32:{2,5,6}:{(18,1),(19,1),(41,1),(46,1),(48,1),(49,1),(133,1),(140,1)}
        33:{2,4,5}:{(19,1),(20,1),(42,1),(47,1),(49,1),(50,1),(78,1),(121,1),(133,1),(142,1)}
        34:{3,4}:{(20,1),(50,1),(142,1)}
        35:{3,5,7}:{(21,1),(22,1),(51,1),(52,1),(53,1),(84,1)}
        36:{3,6}:{(21,1),(23,1),(53,1),(57,1)}
        37:{2,6}:{(22,1),(25,1),(52,1)}
        38:{2,5}:{(23,1),(26,1),(53,1),(84,1)}
        39:{2,4}:{(24,1),(27,1),(57,1)}
        40:{1,6,7}:{(25,1),(31,1),(54,1),(58,1),(136,1)}
        41:{1,5,6}:{(25,1),(26,1),(32,1),(55,1),(58,1),(59,1),(126,1),(136,1)}
        42:{1,4,5}:{(26,1),(27,1),(33,1),(56,1),(59,1),(60,1),(94,1),(111,1),(126,1)}
        43:{1,3,4}:{(27,1),(34,1),(57,1),(60,1),(61,1),(87,1),(91,1),(111,1),(129,1)}
        44:{4,6}:{(28,1),(29,1),(63,1)}
        45:{3,6,7}:{(29,1),(31,1),(62,1),(64,1),(143,1)}
        46:{3,5,6}:{(29,1),(30,1),(32,1),(63,1),(64,1),(65,1),(67,1),(138,1),(143,1),(146,1)}
        47:{4,5}:{(30,1),(65,1),(146,1)}
        48:{2,5,7}:{(31,1),(32,1),(58,1),(64,1),(66,1)}
        49:{2,4,6}:{(32,1),(33,1),(59,1),(65,1),(66,1),(67,1),(93,1)}
        50:{3,5}:{(33,1),(34,1),(67,1),(129,1)}
        51:{4,7}:{(35,1),(68,1),(71,1)}
        52:{3,6}:{(35,1),(37,1),(68,1)}
        53:{3,5}:{(36,1),(38,1),(71,1)}
        54:{2,6,7}:{(37,1),(40,1),(69,1),(72,1),(131,1)}
        55:{2,5,6}:{(37,1),(38,1),(41,1),(70,1),(72,1),(73,1),(118,1),(131,1)}
        56:{2,4,5}:{(38,1),(39,1),(42,1),(71,1),(73,1),(74,1),(78,1),(96,1),(99,1),(118,1)}
        57:{3}:{(39,1)}
        58:{1,5,7}:{(40,1),(41,1),(48,1),(72,1),(76,1)}
        59:{1,4,6}:{(41,1),(42,1),(49,1),(73,1),(76,1),(77,1),(105,1)}
        60:{1,3,5}:{(42,1),(43,1),(50,1),(74,1),(77,1),(78,1)}
        61:{2,4}:{(43,1),(75,1),(78,1),(79,1),(103,1)}
        62:{4,6,7}:{(44,1),(45,1),(80,1),(81,1),(145,1)}
        63:{5,6}:{(44,1),(80,1)}
        64:{3,5,7}:{(45,1),(46,1),(48,1),(80,1),(81,1),(82,1)}
        65:{4,6}:{(46,1),(47,1),(81,1),(142,1)}
        66:{2,4,7}:{(48,1),(49,1),(76,1),(81,1),(82,1),(104,1)}
        67:{3,6}:{(49,1),(50,1),(82,1)}
        68:{4,6}:{(51,1),(52,1),(84,1)}
        69:{3,6,7}:{(52,1),(54,1),(83,1),(85,1),(124,1)}
        70:{3,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        71:{4}:{(53,1)}
        72:{2,5,7}:{(54,1),(55,1),(58,1),(85,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(86,1),(88,1),(89,1),(93,1)}
        74:{3,5}:{(56,1),(57,1),(87,1),(89,1)}
        75:{2,3}:{(57,1),(61,1),(91,1),(129,1)}
        76:{1,4,7}:{(58,1),(59,1),(66,1),(88,1),(92,1),(115,1)}
        77:{1,3,6}:{(59,1),(60,1),(67,1),(89,1),(92,1),(93,1)}
        78:{2,5}:{(60,1),(61,1),(93,1),(94,1)}
        79:{1,4}:{(61,1),(91,1),(94,1)}
        80:{5,7}:{(62,1),(63,1),(146,1)}
        81:{4,7}:{(64,1),(65,1)}
        82:{3,7}:{(66,1),(67,1)}
        83:{4,6,7}:{(68,1),(69,1),(95,1),(97,1),(116,1)}
        84:{5}:{(68,1)}
        85:{3,5,7}:{(69,1),(70,1),(72,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{3,4}:{(71,1),(74,1),(99,1)}
        88:{2,4,7}:{(72,1),(73,1),(76,1),(97,1),(100,1),(104,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{2,3,5}:{(74,1),(75,1),(78,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3}:{(75,1),(79,1),(103,1)}
        92:{1,3,7}:{(76,1),(77,1),(82,1),(100,1),(104,1)}
        93:{2,6}:{(77,1),(78,1),(104,1),(105,1)}
        94:{1,5}:{(78,1),(79,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(93,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(91,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2}:{(91,1)}
       104:{2,7}:{(92,1),(93,1),(115,1)}
       105:{1,6}:{(93,1),(94,1),(115,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(104,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(105,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(103,1),(121,1),(123,1)}
       115:{1,7}:{(104,1),(105,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

  89 :  0:{3,4}:{(2,1),(3,1)}
        1:{2,3}:{(2,1),(4,1)}
        2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
        3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,3}:{(1,1),(5,1),(9,1),(15,1)}
        5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
        6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
        7:{4,5}:{(3,1),(13,1)}
        8:{3,6}:{(3,1),(12,1),(13,1),(14,1)}
        9:{2}:{(4,1)}
       10:{2,4}:{(5,1),(9,1),(15,1),(16,1),(25,1)}
       11:{1,5}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,6}:{(6,1),(8,1),(17,1),(18,1)}
       13:{4,6}:{(7,1),(8,1),(19,1),(20,1)}
       14:{3,7}:{(8,1),(18,1),(20,1)}
       15:{3}:{(10,1)}
       16:{2,5}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,6}:{(11,1),(12,1),(22,1),(23,1)}
       18:{2,7}:{(12,1),(14,1),(23,1)}
       19:{5,6}:{(13,1),(24,1)}
       20:{4,7}:{(13,1),(14,1),(24,1)}
       21:{3,5}:{(15,1),(16,1),(25,1),(26,1),(31,1)}
       22:{2,6}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,7}:{(17,1),(18,1),(27,1)}
       24:{5,7}:{(19,1),(20,1),(28,1)}
       25:{4}:{(21,1)}
       26:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       27:{2,7}:{(22,1),(23,1),(30,1)}
       28:{6,7}:{(24,1)}
       29:{4,6}:{(25,1),(26,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

  90 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(3,1),(4,1)}
        2:{1,2}:{(5,1)}
        3:{2,3}:{(1,1),(5,1),(6,1)}
        4:{1,4}:{(1,1),(6,1),(7,1)}
        5:{1,3}:{(2,1),(3,1),(8,1)}
        6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
        7:{1,5}:{(4,1),(10,1),(11,1)}
        8:{1,4}:{(5,1),(6,1),(12,1)}
        9:{3,4}:{(6,1),(13,1)}
       10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(7,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

  91 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

  92 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

  93 :   0:{1,4,5}:{(2,1),(3,1),(4,1),(44,1),(48,1),(78,1)}
         1:{1,3,4}:{(3,1),(5,1),(17,1),(22,1),(48,1),(76,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(10,1),(28,1),(32,1),(64,1),(66,1),(68,1),(87,1),(98,1)}
         3:{1,3,5}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
         4:{1,4,6}:{(0,1),(8,1),(11,1),(12,1),(13,1),(61,1)}
         5:{2,4}:{(1,1),(9,1),(10,1),(14,1),(39,1)}
         6:{1,4,5}:{(2,1),(15,1),(16,1),(23,1),(48,1),(78,1)}
         7:{3,5}:{(2,1),(17,1),(19,1),(76,1)}
         8:{2,4,6}:{(2,1),(4,1),(16,1),(19,1),(20,1),(21,1),(24,1),(45,1),(55,1)}
         9:{2,3}:{(5,1),(22,1),(76,1)}
        10:{2,5}:{(3,1),(5,1),(23,1),(24,1)}
        11:{1,3,6}:{(3,1),(4,1),(19,1),(24,1),(25,1)}
        12:{1,5,6}:{(4,1),(20,1),(26,1),(78,1),(96,1)}
        13:{1,4,7}:{(4,1),(21,1),(25,1),(26,1),(75,1)}
        14:{1,4}:{(5,1),(22,1),(23,1)}
        15:{1,3,5}:{(6,1),(7,1),(27,1),(28,1),(29,1)}
        16:{1,4,6}:{(6,1),(8,1),(29,1),(30,1),(31,1),(40,1)}
        17:{3,4}:{(7,1),(32,1),(98,1)}
        18:{2,3,5}:{(7,1),(9,1),(10,1),(28,1),(32,1),(34,1),(35,1),(59,1),(66,1)}
        19:{3,6}:{(7,1),(8,1),(37,1)}
        20:{2,5,6}:{(8,1),(12,1),(30,1),(36,1),(38,1),(66,1),(87,1),(90,1),(100,1)}
        21:{2,4,7}:{(8,1),(13,1),(31,1),(37,1),(38,1),(41,1),(62,1),(72,1)}
        22:{1,3}:{(9,1),(14,1),(39,1)}
        23:{1,5}:{(10,1),(14,1),(40,1)}
        24:{2,6}:{(10,1),(11,1),(40,1),(41,1)}
        25:{1,3,7}:{(11,1),(13,1),(37,1),(41,1)}
        26:{1,5,7}:{(12,1),(13,1),(38,1),(42,1)}
        27:{1,3,4}:{(15,1),(17,1),(43,1),(48,1),(74,1),(76,1)}
        28:{2,5}:{(15,1),(43,1),(44,1),(45,1)}
        29:{1,3,6}:{(15,1),(16,1),(19,1),(45,1),(46,1)}
        30:{1,5,6}:{(16,1),(20,1),(47,1),(78,1),(96,1)}
        31:{1,4,7}:{(16,1),(21,1),(46,1),(47,1),(58,1)}
        32:{2,4}:{(17,1),(18,1),(48,1)}
        33:{3,4,6}:{(17,1),(19,1),(49,1),(50,1),(51,1),(55,1),(82,1)}
        34:{1,3,5}:{(18,1),(22,1),(23,1),(44,1),(48,1),(52,1),(53,1),(74,1),(76,1),(78,1),(93,1)}
        35:{2,3,6}:{(18,1),(19,1),(24,1),(45,1),(49,1),(53,1),(54,1)}
        36:{3,5,6}:{(19,1),(20,1),(50,1),(55,1),(56,1),(82,1),(93,1),(97,1),(102,1),(104,1)}
        37:{3,7}:{(19,1),(21,1)}
        38:{2,5,7}:{(20,1),(21,1),(26,1),(47,1),(56,1),(57,1)}
        39:{2}:{(22,1)}
        40:{1,6}:{(23,1),(24,1),(58,1)}
        41:{2,7}:{(24,1),(25,1),(58,1)}
        42:{1,6,7}:{(26,1),(57,1),(96,1)}
        43:{2,4}:{(27,1),(28,1),(59,1),(60,1),(85,1)}
        44:{1,5}:{(28,1),(60,1),(61,1)}
        45:{2,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,7}:{(29,1),(31,1),(37,1),(62,1)}
        47:{1,5,7}:{(30,1),(31,1),(38,1),(63,1)}
        48:{1,4}:{(32,1),(34,1),(64,1),(98,1)}
        49:{2,4,6}:{(32,1),(33,1),(35,1),(65,1),(66,1),(67,1),(90,1)}
        50:{3,5}:{(33,1),(66,1),(68,1)}
        51:{3,4,7}:{(33,1),(37,1),(67,1),(69,1),(72,1)}
        52:{2,5}:{(34,1),(39,1),(64,1),(70,1),(85,1)}
        53:{1,3,6}:{(34,1),(35,1),(40,1),(61,1),(65,1),(70,1),(71,1),(86,1)}
        54:{2,3,7}:{(35,1),(37,1),(41,1),(62,1),(67,1),(71,1)}
        55:{4,6}:{(36,1),(68,1),(72,1),(98,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(72,1),(73,1),(92,1)}
        57:{2,6,7}:{(38,1),(42,1),(63,1),(73,1),(90,1),(100,1)}
        58:{1,7}:{(40,1),(41,1)}
        59:{2,3}:{(43,1),(74,1),(76,1)}
        60:{1,4}:{(43,1),(44,1),(74,1)}
        61:{1,6}:{(44,1),(45,1),(75,1)}
        62:{2,7}:{(45,1),(46,1),(75,1)}
        63:{1,6,7}:{(47,1),(57,1),(96,1)}
        64:{2,4}:{(48,1),(52,1),(76,1)}
        65:{1,4,6}:{(48,1),(49,1),(53,1),(77,1),(78,1),(79,1),(96,1)}
        66:{2,5}:{(49,1),(50,1),(78,1)}
        67:{2,4,7}:{(49,1),(51,1),(54,1),(79,1),(80,1)}
        68:{4,5}:{(50,1),(55,1),(104,1)}
        69:{3,5,7}:{(50,1),(51,1),(80,1),(81,1),(82,1)}
        70:{2,6}:{(52,1),(53,1),(83,1)}
        71:{1,3,7}:{(53,1),(54,1),(58,1),(75,1),(79,1),(83,1),(94,1)}
        72:{4,7}:{(55,1),(56,1)}
        73:{3,6,7}:{(56,1),(57,1),(82,1),(84,1),(102,1)}
        74:{1,3}:{(59,1),(60,1),(85,1)}
        75:{1,7}:{(61,1),(62,1)}
        76:{3}:{(64,1)}
        77:{2,4,6}:{(64,1),(65,1),(70,1),(86,1),(87,1),(88,1),(98,1),(100,1),(103,1)}
        78:{1,5}:{(65,1),(66,1),(87,1)}
        79:{1,4,7}:{(65,1),(67,1),(71,1),(88,1),(89,1)}
        80:{2,5,7}:{(66,1),(67,1),(69,1),(89,1),(90,1)}
        81:{4,5,7}:{(68,1),(69,1),(72,1),(91,1),(92,1)}
        82:{3,6}:{(69,1),(90,1),(91,1)}
        83:{2,7}:{(70,1),(71,1)}
        84:{4,6,7}:{(72,1),(73,1),(91,1),(92,1),(103,1)}
        85:{2}:{(74,1)}
        86:{3,6}:{(76,1),(77,1),(93,1),(94,1)}
        87:{2,5}:{(77,1),(78,1),(93,1),(104,1)}
        88:{2,4,7}:{(77,1),(79,1),(83,1),(94,1),(95,1),(101,1)}
        89:{1,5,7}:{(78,1),(79,1),(80,1),(95,1),(96,1)}
        90:{2,6}:{(80,1),(82,1),(96,1)}
        91:{4,6}:{(81,1),(82,1),(97,1)}
        92:{5,7}:{(84,1),(97,1),(104,1)}
        93:{3,5}:{(86,1),(87,1),(98,1)}
        94:{3,7}:{(86,1),(88,1)}
        95:{2,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1)}
        96:{1,6}:{(89,1),(90,1),(100,1)}
        97:{5,6}:{(91,1),(92,1)}
        98:{4}:{(93,1)}
        99:{3,5,7}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

  94 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

  95 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

  96 :   0:{1,3,6,7}:{(1,1),(2,1),(3,1),(12,1),(47,1),(114,1)}
         1:{2,6,7}:{(0,1),(4,1),(6,1),(68,1),(132,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(7,1),(9,1),(29,1),(52,1),(94,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(9,1),(24,1),(28,1)}
         4:{1,6,7}:{(1,1),(11,1),(91,1),(146,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(15,1),(34,1),(41,1),(42,1),(74,1)}
         6:{2,5,7}:{(1,1),(3,1),(11,1),(14,1),(15,1)}
         7:{1,5,7}:{(2,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(47,1),(49,1)}
         9:{1,4,7}:{(3,1),(15,1),(18,1),(41,1),(81,1)}
        10:{1,4,6,7}:{(4,1),(5,1),(20,1),(21,1),(23,1),(55,1),(56,1)}
        11:{1,5,7}:{(4,1),(6,1),(22,1),(23,1)}
        12:{3,6,7}:{(5,1),(24,1),(28,1),(63,1),(96,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(8,1),(22,1),(27,1),(68,1),(70,1)}
        15:{2,4,7}:{(6,1),(9,1),(23,1),(27,1),(28,1),(60,1)}
        16:{1,5,6}:{(7,1),(25,1),(29,1),(140,1)}
        17:{1,4,5,7}:{(7,1),(9,1),(26,1),(29,1),(30,1),(31,1),(94,1),(101,1),(107,1),(130,1),(140,1)}
        18:{1,4,6}:{(8,1),(9,1),(27,1),(31,1),(61,1),(104,1)}
        19:{1,3,4,7}:{(9,1),(28,1),(30,1),(32,1),(33,1),(62,1),(67,1),(107,1),(142,1),(156,1)}
        20:{1,3,6,7}:{(10,1),(12,1),(34,1),(35,1),(39,1),(77,1)}
        21:{1,5,7}:{(10,1),(13,1),(36,1)}
        22:{1,5,6}:{(11,1),(14,1),(38,1),(91,1),(92,1)}
        23:{1,4,7}:{(11,1),(15,1),(38,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(40,1),(42,1),(124,1),(153,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(41,1),(42,1),(43,1),(44,1),(48,1),(74,1),(78,1),(82,1),(84,1),(115,1),(124,1),(126,1),(153,1),(168,1)}
        27:{2,4,6}:{(14,1),(15,1),(18,1),(38,1),(44,1),(45,1),(80,1)}
        28:{3,7}:{(15,1),(45,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(47,1),(121,1)}
        30:{1,3,5,7}:{(17,1),(19,1),(43,1),(47,1),(48,1),(49,1),(114,1),(144,1)}
        31:{1,4,5}:{(18,1),(44,1),(49,1),(82,1),(123,1),(128,1),(168,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(47,1),(49,1),(50,1),(83,1),(87,1),(89,1),(125,1),(128,1),(154,1),(155,1),(168,1)}
        33:{2,4,7}:{(19,1),(46,1),(48,1),(50,1),(51,1),(90,1),(164,1)}
        34:{2,6,7}:{(20,1),(52,1),(53,1),(60,1),(100,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(24,1),(53,1),(54,1),(55,1),(96,1)}
        36:{1,5,6}:{(21,1),(25,1),(56,1),(140,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(69,1),(97,1),(107,1),(140,1)}
        38:{1,4,6}:{(22,1),(23,1),(27,1),(58,1),(59,1)}
        39:{1,3,7}:{(23,1),(28,1),(59,1),(60,1)}
        40:{3,5,6}:{(24,1),(25,1),(61,1),(63,1),(105,1),(163,1)}
        41:{4,7}:{(24,1),(61,1)}
        42:{2,4,6}:{(25,1),(26,1),(29,1),(56,1),(61,1),(63,1),(68,1),(100,1)}
        43:{3,5,7}:{(26,1),(28,1),(62,1),(63,1),(65,1),(96,1),(105,1),(133,1),(142,1),(163,1)}
        44:{2,4,5}:{(27,1),(31,1),(58,1),(65,1),(70,1),(103,1),(110,1),(143,1)}
        45:{3,6}:{(27,1),(28,1),(65,1)}
        46:{2,3,7}:{(28,1),(33,1),(60,1),(66,1),(67,1),(142,1),(169,1)}
        47:{1,3,6}:{(29,1),(30,1),(63,1),(68,1)}
        48:{2,5,7}:{(30,1),(33,1),(68,1),(69,1),(70,1),(132,1),(157,1)}
        49:{1,3,5}:{(31,1),(32,1),(65,1),(70,1),(105,1),(140,1),(163,1)}
        50:{2,4,6}:{(32,1),(33,1),(66,1),(68,1),(70,1),(71,1),(110,1),(112,1),(143,1)}
        51:{1,4,7}:{(33,1),(67,1),(69,1),(71,1),(170,1)}
        52:{1,6,7}:{(34,1),(72,1),(81,1),(121,1)}
        53:{2,5,7}:{(34,1),(35,1),(72,1),(73,1),(74,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(40,1),(73,1),(75,1),(77,1),(116,1),(118,1)}
        55:{1,4,7}:{(35,1),(41,1),(74,1),(75,1),(146,1)}
        56:{1,4,6}:{(36,1),(37,1),(42,1),(77,1),(91,1)}
        57:{1,3,5,7}:{(37,1),(39,1),(43,1),(76,1),(77,1),(78,1),(79,1),(118,1)}
        58:{1,4,5}:{(38,1),(44,1),(79,1),(92,1),(128,1)}
        59:{1,3,6}:{(38,1),(39,1),(45,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(80,1),(81,1)}
        61:{4,6}:{(40,1),(41,1),(82,1),(168,1)}
        62:{3,4,7}:{(41,1),(43,1),(83,1),(84,1),(87,1),(147,1),(168,1)}
        63:{3,6}:{(42,1),(43,1)}
        64:{2,3,5,7}:{(43,1),(46,1),(48,1),(78,1),(84,1),(85,1),(86,1),(88,1),(117,1),(124,1),(148,1)}
        65:{3,5}:{(44,1),(45,1),(87,1),(155,1)}
        66:{2,3,6}:{(45,1),(46,1),(50,1),(80,1),(88,1),(89,1),(154,1),(155,1)}
        67:{1,3,7}:{(46,1),(51,1),(81,1),(89,1),(90,1),(172,1)}
        68:{2,6}:{(47,1),(48,1),(91,1)}
        69:{1,5,7}:{(48,1),(51,1),(91,1),(92,1),(146,1),(165,1)}
        70:{2,5}:{(49,1),(50,1),(92,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(91,1),(92,1),(128,1)}
        72:{1,5,7}:{(52,1),(53,1),(93,1),(94,1)}
        73:{2,5,6}:{(53,1),(54,1),(93,1),(95,1),(100,1),(136,1)}
        74:{2,4,7}:{(53,1),(55,1),(94,1),(95,1),(96,1),(132,1)}
        75:{1,4,6}:{(54,1),(55,1),(61,1),(95,1),(97,1),(158,1)}
        76:{1,3,4,7}:{(55,1),(57,1),(62,1),(96,1),(98,1),(99,1),(102,1),(107,1),(135,1),(142,1)}
        77:{1,3,6}:{(56,1),(57,1),(63,1),(100,1)}
        78:{2,5,7}:{(57,1),(60,1),(99,1),(100,1),(101,1),(103,1),(136,1)}
        79:{1,3,5}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        80:{2,6}:{(59,1),(60,1),(103,1),(104,1)}
        81:{1,7}:{(60,1),(104,1)}
        82:{4,5}:{(61,1),(105,1)}
        83:{3,4,6}:{(61,1),(62,1),(63,1),(105,1),(106,1)}
        84:{2,4,7}:{(62,1),(64,1),(106,1),(107,1),(110,1),(159,1)}
        85:{2,3,6}:{(63,1),(64,1),(68,1),(100,1),(106,1),(108,1)}
        86:{1,3,5,7}:{(64,1),(67,1),(69,1),(101,1),(107,1),(108,1),(109,1),(111,1),(135,1),(140,1),(142,1),(160,1),(163,1)}
        87:{3,4}:{(65,1),(110,1)}
        88:{2,3,5}:{(65,1),(66,1),(70,1),(103,1),(110,1),(111,1),(138,1),(163,1)}
        89:{1,3,6}:{(66,1),(67,1),(71,1),(104,1),(111,1),(112,1)}
        90:{2,7}:{(67,1),(112,1),(174,1)}
        91:{1,6}:{(68,1),(69,1)}
        92:{1,5}:{(70,1),(71,1)}
        93:{1,5,6}:{(72,1),(73,1),(113,1),(121,1),(151,1)}
        94:{1,4,7}:{(72,1),(74,1),(113,1),(114,1)}
        95:{2,4,6}:{(73,1),(74,1),(75,1),(113,1),(115,1),(116,1),(145,1)}
        96:{3,7}:{(74,1),(116,1)}
        97:{1,4,5}:{(75,1),(82,1),(115,1),(118,1),(165,1),(166,1),(168,1)}
        98:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(116,1),(118,1),(119,1),(125,1),(147,1),(149,1),(154,1),(166,1),(168,1),(173,1)}
        99:{2,4,7}:{(76,1),(78,1),(117,1),(119,1),(120,1),(122,1),(150,1)}
       100:{2,6}:{(77,1),(78,1),(121,1)}
       101:{1,5,7}:{(78,1),(81,1),(120,1),(121,1),(123,1),(151,1)}
       102:{1,3,4}:{(79,1),(87,1),(122,1),(128,1),(152,1),(155,1)}
       103:{2,5}:{(79,1),(80,1),(122,1),(123,1)}
       104:{1,6}:{(80,1),(81,1),(123,1)}
       105:{3,5}:{(82,1),(83,1),(124,1)}
       106:{2,4,6}:{(83,1),(84,1),(85,1),(124,1),(125,1)}
       107:{1,4,7}:{(84,1),(86,1),(125,1),(126,1),(128,1),(166,1),(168,1)}
       108:{1,3,6}:{(85,1),(86,1),(91,1),(121,1),(125,1),(127,1),(154,1)}
       109:{2,5,7}:{(86,1),(90,1),(126,1),(127,1),(129,1),(150,1),(153,1),(167,1)}
       110:{2,4}:{(87,1),(88,1),(128,1),(168,1)}
       111:{1,3,5}:{(88,1),(89,1),(92,1),(123,1),(128,1),(129,1),(152,1),(155,1)}
       112:{2,6}:{(89,1),(90,1),(129,1)}
       113:{1,4,6}:{(93,1),(94,1),(95,1),(130,1),(131,1)}
       114:{1,3,7}:{(94,1),(96,1),(131,1),(132,1)}
       115:{2,4,5}:{(95,1),(97,1),(130,1),(133,1),(136,1),(157,1),(159,1),(171,1)}
       116:{3,6}:{(95,1),(96,1),(133,1)}
       117:{2,3,7}:{(96,1),(99,1),(132,1),(134,1),(135,1),(138,1),(142,1)}
       118:{1,3,5}:{(97,1),(98,1),(105,1),(133,1),(136,1),(140,1),(163,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(134,1),(136,1),(137,1),(159,1),(161,1),(171,1)}
       120:{1,4,7}:{(99,1),(101,1),(135,1),(137,1),(139,1)}
       121:{1,6}:{(100,1),(101,1)}
       122:{2,4}:{(102,1),(103,1),(138,1),(139,1),(162,1)}
       123:{1,5}:{(103,1),(104,1),(139,1)}
       124:{2,5}:{(105,1),(106,1),(140,1)}
       125:{1,4,6}:{(106,1),(107,1),(108,1),(140,1),(141,1)}
       126:{2,4,7}:{(107,1),(109,1),(141,1),(142,1),(143,1),(171,1)}
       127:{2,6}:{(108,1),(109,1)}
       128:{1,4}:{(110,1),(111,1),(143,1)}
       129:{2,5}:{(111,1),(112,1),(143,1),(162,1)}
       130:{1,4,5}:{(113,1),(115,1),(144,1),(151,1),(166,1)}
       131:{1,3,6}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{2,7}:{(114,1),(145,1),(146,1)}
       133:{3,5}:{(115,1),(116,1),(147,1),(173,1)}
       134:{2,3,6}:{(116,1),(117,1),(119,1),(145,1),(148,1),(149,1),(154,1),(173,1)}
       135:{1,3,7}:{(117,1),(120,1),(146,1),(149,1),(150,1),(152,1)}
       136:{2,5}:{(118,1),(119,1),(151,1)}
       137:{1,4,6}:{(119,1),(120,1),(121,1),(149,1),(151,1),(166,1)}
       138:{2,3}:{(122,1),(152,1),(155,1)}
       139:{1,4}:{(122,1),(123,1),(152,1)}
       140:{1,5}:{(124,1),(125,1),(153,1)}
       141:{2,4,6}:{(125,1),(126,1),(127,1),(153,1),(154,1),(168,1)}
       142:{3,7}:{(126,1),(154,1),(155,1),(173,1)}
       143:{2,4}:{(128,1),(129,1),(155,1)}
       144:{1,3,5}:{(130,1),(131,1),(133,1),(156,1),(157,1)}
       145:{2,6}:{(131,1),(132,1),(157,1),(158,1)}
       146:{1,7}:{(132,1),(158,1)}
       147:{3,4}:{(133,1),(159,1)}
       148:{2,3,5}:{(133,1),(134,1),(136,1),(157,1),(159,1),(160,1),(163,1),(169,1)}
       149:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(160,1),(161,1)}
       150:{2,7}:{(135,1),(161,1),(162,1)}
       151:{1,5}:{(136,1),(137,1)}
       152:{1,3}:{(138,1),(139,1),(162,1)}
       153:{2,5}:{(140,1),(141,1),(163,1)}
       154:{3,6}:{(141,1),(142,1),(163,1)}
       155:{3}:{(143,1)}
       156:{1,3,4}:{(144,1),(147,1),(164,1),(166,1),(172,1),(173,1)}
       157:{2,5}:{(144,1),(145,1),(164,1),(165,1)}
       158:{1,6}:{(145,1),(146,1),(165,1)}
       159:{2,4}:{(147,1),(148,1),(166,1),(168,1)}
       160:{1,3,5}:{(148,1),(149,1),(151,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       161:{2,6}:{(149,1),(150,1),(167,1)}
       162:{2}:{(152,1)}
       163:{3,5}:{(153,1),(154,1),(168,1)}
       164:{2,4}:{(156,1),(157,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(157,1),(158,1),(170,1)}
       166:{1,4}:{(159,1),(160,1),(171,1)}
       167:{2,5}:{(160,1),(161,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

  97 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

  98 :   0:{1,4,5,7}:{(1,1),(2,1),(3,1),(25,1),(49,1),(54,1),(65,1),(70,1),(107,1),(136,1),(138,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(8,1),(27,1),(31,1),(37,1),(80,1),(82,1),(83,1),(85,1),(90,1),(93,1),(120,1),(123,1),(126,1),(153,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(41,1),(150,1),(151,1)}
         3:{1,4,6}:{(0,1),(6,1),(9,1),(11,1),(75,1)}
         4:{1,4,5,7}:{(1,1),(12,1),(13,1),(21,1),(53,1),(54,1),(99,1),(104,1),(107,1),(111,1),(113,1)}
         5:{3,5,7}:{(1,1),(14,1),(16,1),(56,1),(105,1),(112,1),(115,1),(137,1),(140,1),(141,1)}
         6:{2,4,6}:{(1,1),(3,1),(13,1),(16,1),(18,1),(22,1),(50,1),(60,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(54,1),(61,1),(70,1),(105,1),(115,1),(159,1)}
         8:{2,5,7}:{(2,1),(19,1),(21,1),(22,1),(64,1),(160,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(22,1)}
        10:{1,4,6,7}:{(3,1),(17,1),(23,1),(25,1),(70,1),(100,1),(138,1)}
        11:{1,5,6}:{(3,1),(18,1),(25,1),(107,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(26,1),(27,1),(28,1),(74,1),(130,1),(131,1)}
        13:{1,4,6}:{(4,1),(6,1),(28,1),(30,1),(42,1)}
        14:{3,4,7}:{(5,1),(31,1),(32,1),(85,1),(129,1),(149,1),(153,1)}
        15:{2,3,5,7}:{(5,1),(8,1),(27,1),(31,1),(33,1),(34,1),(38,1),(71,1),(82,1),(88,1),(118,1)}
        16:{3,6}:{(5,1),(6,1)}
        17:{2,4,6,7}:{(6,1),(10,1),(29,1),(35,1),(37,1),(43,1),(76,1),(85,1),(93,1),(123,1)}
        18:{2,5,6}:{(6,1),(11,1),(30,1),(36,1),(37,1),(82,1),(126,1)}
        19:{2,4,7}:{(7,1),(8,1),(38,1),(39,1),(40,1),(86,1),(166,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(32,1),(40,1),(41,1),(46,1),(81,1),(87,1),(94,1),(125,1),(128,1),(129,1),(153,1),(154,1)}
        21:{1,5,7}:{(8,1),(39,1),(42,1),(89,1),(167,1),(168,1)}
        22:{2,6}:{(8,1),(9,1),(42,1)}
        23:{1,3,6,7}:{(9,1),(10,1),(35,1),(43,1),(45,1),(151,1)}
        24:{1,3,5,6}:{(9,1),(11,1),(36,1),(41,1),(44,1),(45,1),(46,1),(94,1)}
        25:{1,5,7}:{(10,1),(11,1),(37,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(54,1),(95,1),(104,1),(105,1),(140,1),(143,1)}
        27:{2,5,7}:{(12,1),(47,1),(49,1),(50,1),(98,1),(144,1),(145,1)}
        28:{1,3,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{1,4,6,7}:{(13,1),(17,1),(51,1),(53,1),(66,1),(104,1),(113,1)}
        30:{1,5,6}:{(13,1),(18,1),(53,1),(107,1)}
        31:{2,4,7}:{(14,1),(15,1),(54,1),(55,1),(110,1),(135,1)}
        32:{3,4,6}:{(14,1),(16,1),(55,1),(56,1),(60,1)}
        33:{1,3,5,7}:{(15,1),(21,1),(49,1),(54,1),(57,1),(58,1),(61,1),(95,1),(105,1),(107,1),(109,1),(134,1),(141,1)}
        34:{2,3,6}:{(15,1),(16,1),(22,1),(50,1),(55,1),(58,1)}
        35:{3,6,7}:{(16,1),(17,1),(59,1),(115,1),(140,1)}
        36:{3,5,6}:{(16,1),(18,1),(56,1),(59,1),(60,1),(141,1)}
        37:{2,5,7}:{(17,1),(18,1),(25,1),(53,1),(59,1)}
        38:{2,3,7}:{(19,1),(61,1),(62,1),(105,1),(115,1),(145,1),(170,1)}
        39:{1,4,7}:{(19,1),(21,1),(61,1),(63,1),(171,1)}
        40:{2,4,6}:{(19,1),(20,1),(22,1),(62,1),(63,1),(64,1),(108,1),(110,1),(142,1)}
        41:{1,3,5}:{(20,1),(56,1),(64,1),(65,1),(107,1),(112,1),(141,1)}
        42:{1,6}:{(21,1),(22,1)}
        43:{2,6,7}:{(22,1),(23,1),(66,1),(68,1),(161,1)}
        44:{2,5,6}:{(22,1),(24,1),(64,1),(67,1),(68,1),(69,1)}
        45:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(68,1),(70,1),(115,1)}
        46:{1,4,6}:{(24,1),(60,1),(65,1),(69,1),(70,1),(146,1)}
        47:{2,4,7}:{(26,1),(27,1),(71,1),(72,1),(73,1),(116,1),(155,1)}
        48:{1,3,4,6}:{(26,1),(28,1),(32,1),(73,1),(74,1),(79,1),(81,1),(117,1),(124,1),(125,1),(148,1),(149,1),(153,1),(165,1)}
        49:{1,5,7}:{(27,1),(72,1),(75,1),(119,1),(156,1),(157,1)}
        50:{2,6}:{(27,1),(28,1),(75,1)}
        51:{1,3,6,7}:{(28,1),(29,1),(35,1),(76,1),(78,1),(131,1)}
        52:{1,3,5,6}:{(28,1),(30,1),(36,1),(74,1),(77,1),(78,1),(79,1),(124,1)}
        53:{1,5,7}:{(29,1),(30,1),(37,1)}
        54:{1,4,7}:{(31,1),(33,1),(80,1),(81,1),(128,1),(148,1),(153,1)}
        55:{2,4,6}:{(31,1),(32,1),(34,1),(81,1),(82,1)}
        56:{3,5}:{(32,1),(82,1),(83,1)}
        57:{2,5,7}:{(33,1),(80,1),(84,1),(86,1),(116,1),(126,1),(127,1),(147,1)}
        58:{1,3,6}:{(33,1),(34,1),(42,1),(75,1),(81,1),(84,1),(125,1)}
        59:{3,5,7}:{(35,1),(36,1),(37,1),(85,1)}
        60:{4,6}:{(36,1),(83,1),(85,1),(153,1)}
        61:{1,3,7}:{(38,1),(39,1),(86,1),(87,1),(157,1),(173,1)}
        62:{2,3,6}:{(38,1),(40,1),(87,1),(88,1),(94,1),(125,1),(132,1),(154,1)}
        63:{1,4,6}:{(39,1),(40,1),(42,1),(87,1),(89,1),(128,1)}
        64:{2,5}:{(40,1),(41,1),(89,1)}
        65:{1,4,5}:{(41,1),(46,1),(83,1),(90,1),(128,1),(153,1),(156,1)}
        66:{1,6,7}:{(42,1),(43,1),(91,1),(168,1)}
        67:{1,5,6}:{(42,1),(44,1),(89,1),(91,1),(92,1)}
        68:{2,5,7}:{(43,1),(44,1),(45,1),(91,1),(93,1)}
        69:{2,4,6}:{(44,1),(46,1),(90,1),(92,1),(93,1),(94,1),(132,1)}
        70:{1,4,7}:{(45,1),(46,1),(85,1),(93,1),(157,1)}
        71:{2,3,7}:{(47,1),(95,1),(96,1),(105,1),(140,1),(161,1),(163,1)}
        72:{1,4,7}:{(47,1),(49,1),(95,1),(97,1),(164,1)}
        73:{2,4,6}:{(47,1),(48,1),(50,1),(96,1),(97,1),(98,1),(133,1),(135,1),(158,1)}
        74:{1,3,5}:{(48,1),(56,1),(98,1),(99,1),(107,1),(137,1),(141,1)}
        75:{1,6}:{(49,1),(50,1)}
        76:{2,6,7}:{(50,1),(51,1),(100,1),(102,1),(145,1)}
        77:{2,5,6}:{(50,1),(52,1),(98,1),(101,1),(102,1),(103,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(53,1),(59,1),(102,1),(104,1),(140,1)}
        79:{1,4,6}:{(52,1),(60,1),(99,1),(103,1),(104,1),(162,1)}
        80:{2,4,7}:{(54,1),(57,1),(105,1),(106,1),(142,1),(158,1)}
        81:{1,4,6}:{(54,1),(55,1),(58,1),(106,1),(107,1)}
        82:{2,5}:{(55,1),(56,1),(107,1)}
        83:{4,5}:{(56,1),(60,1)}
        84:{2,6}:{(57,1),(58,1)}
        85:{4,7}:{(59,1),(60,1)}
        86:{2,7}:{(61,1),(108,1),(174,1)}
        87:{1,3,6}:{(61,1),(62,1),(63,1),(108,1),(109,1),(146,1)}
        88:{2,3,5}:{(62,1),(64,1),(109,1),(110,1),(112,1),(141,1),(144,1),(163,1)}
        89:{1,5}:{(63,1),(64,1)}
        90:{2,4,5}:{(64,1),(65,1),(69,1),(110,1),(111,1),(112,1),(142,1),(144,1)}
        91:{1,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{1,4,6}:{(67,1),(69,1),(111,1),(113,1),(114,1)}
        93:{2,4,7}:{(68,1),(69,1),(70,1),(113,1),(115,1),(145,1)}
        94:{3,6}:{(69,1),(112,1),(115,1)}
        95:{1,3,7}:{(71,1),(72,1),(116,1),(117,1),(168,1),(169,1)}
        96:{2,3,6}:{(71,1),(73,1),(117,1),(118,1),(124,1),(125,1),(152,1),(165,1)}
        97:{1,4,6}:{(72,1),(73,1),(75,1),(117,1),(119,1),(148,1)}
        98:{2,5}:{(73,1),(74,1),(119,1)}
        99:{1,4,5}:{(74,1),(79,1),(83,1),(120,1),(148,1),(153,1),(167,1)}
       100:{1,6,7}:{(75,1),(76,1),(121,1),(157,1)}
       101:{1,5,6}:{(75,1),(77,1),(119,1),(121,1),(122,1)}
       102:{2,5,7}:{(76,1),(77,1),(78,1),(121,1),(123,1)}
       103:{2,4,6}:{(77,1),(79,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
       104:{1,4,7}:{(78,1),(79,1),(85,1),(123,1),(168,1)}
       105:{3,7}:{(80,1),(125,1),(154,1),(165,1)}
       106:{2,4,6}:{(80,1),(81,1),(84,1),(125,1),(126,1),(153,1)}
       107:{1,5}:{(81,1),(82,1),(126,1)}
       108:{2,6}:{(86,1),(87,1),(127,1)}
       109:{1,3,5}:{(87,1),(88,1),(89,1),(127,1),(128,1),(154,1),(156,1),(169,1)}
       110:{2,4}:{(88,1),(128,1),(129,1),(153,1)}
       111:{1,4,5}:{(89,1),(90,1),(92,1),(128,1),(130,1)}
       112:{3,5}:{(90,1),(94,1),(129,1),(154,1)}
       113:{1,4,7}:{(91,1),(92,1),(93,1),(131,1)}
       114:{1,3,6}:{(92,1),(94,1),(130,1),(131,1),(132,1)}
       115:{3,7}:{(93,1),(94,1)}
       116:{2,7}:{(95,1),(133,1),(172,1)}
       117:{1,3,6}:{(95,1),(96,1),(97,1),(133,1),(134,1),(162,1)}
       118:{2,3,5}:{(96,1),(98,1),(134,1),(135,1),(137,1),(141,1),(160,1),(170,1)}
       119:{1,5}:{(97,1),(98,1)}
       120:{2,4,5}:{(98,1),(99,1),(103,1),(135,1),(136,1),(137,1),(158,1),(160,1)}
       121:{1,5,7}:{(100,1),(101,1),(102,1),(138,1)}
       122:{1,4,6}:{(101,1),(103,1),(136,1),(138,1),(139,1)}
       123:{2,4,7}:{(102,1),(103,1),(104,1),(138,1),(140,1),(161,1)}
       124:{3,6}:{(103,1),(137,1),(140,1)}
       125:{3,6}:{(105,1),(106,1),(141,1)}
       126:{2,5}:{(106,1),(107,1),(141,1)}
       127:{2,5}:{(108,1),(109,1),(142,1),(172,1)}
       128:{1,4}:{(109,1),(110,1),(142,1)}
       129:{3,4}:{(110,1),(112,1)}
       130:{1,3,5}:{(111,1),(112,1),(114,1),(143,1),(144,1)}
       131:{1,3,7}:{(113,1),(114,1),(115,1),(145,1)}
       132:{2,6}:{(114,1),(144,1),(145,1),(146,1)}
       133:{2,6}:{(116,1),(117,1),(147,1)}
       134:{1,3,5}:{(117,1),(118,1),(119,1),(147,1),(148,1),(165,1),(167,1),(173,1)}
       135:{2,4}:{(118,1),(148,1),(149,1),(153,1)}
       136:{1,4,5}:{(119,1),(120,1),(122,1),(148,1),(150,1)}
       137:{3,5}:{(120,1),(124,1),(149,1),(165,1)}
       138:{1,4,7}:{(121,1),(122,1),(123,1),(151,1)}
       139:{1,3,6}:{(122,1),(124,1),(150,1),(151,1),(152,1)}
       140:{3,7}:{(123,1),(124,1)}
       141:{3,5}:{(125,1),(126,1),(153,1)}
       142:{2,4}:{(127,1),(128,1),(154,1)}
       143:{1,3,4}:{(128,1),(129,1),(130,1),(154,1),(155,1),(169,1)}
       144:{2,5}:{(130,1),(132,1),(155,1),(156,1)}
       145:{2,7}:{(131,1),(132,1),(157,1)}
       146:{1,6}:{(132,1),(156,1),(157,1)}
       147:{2,5}:{(133,1),(134,1),(158,1),(174,1)}
       148:{1,4}:{(134,1),(135,1),(158,1)}
       149:{3,4}:{(135,1),(137,1)}
       150:{1,3,5}:{(136,1),(137,1),(139,1),(159,1),(160,1)}
       151:{1,3,7}:{(138,1),(139,1),(140,1),(161,1)}
       152:{2,6}:{(139,1),(160,1),(161,1),(162,1)}
       153:{4}:{(141,1)}
       154:{3}:{(142,1)}
       155:{2,4}:{(143,1),(144,1),(163,1),(164,1),(172,1)}
       156:{1,5}:{(144,1),(146,1),(164,1)}
       157:{1,7}:{(145,1),(146,1)}
       158:{2,4}:{(147,1),(148,1),(165,1)}
       159:{1,3,4}:{(148,1),(149,1),(150,1),(165,1),(166,1),(173,1)}
       160:{2,5}:{(150,1),(152,1),(166,1),(167,1)}
       161:{2,7}:{(151,1),(152,1),(168,1)}
       162:{1,6}:{(152,1),(167,1),(168,1)}
       163:{2,3}:{(154,1),(155,1),(169,1)}
       164:{1,4}:{(155,1),(156,1),(169,1)}
       165:{3}:{(158,1)}
       166:{2,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,5}:{(160,1),(162,1),(171,1)}
       168:{1,7}:{(161,1),(162,1)}
       169:{1,3}:{(163,1),(164,1),(172,1)}
       170:{2,3}:{(165,1),(166,1),(173,1)}
       171:{1,4}:{(166,1),(167,1),(173,1)}
       172:{2}:{(169,1)}
       173:{1,3}:{(170,1),(171,1),(174,1)}
       174:{2}:{(173,1)}

  99 :   0:{1,5,6}:{(2,1),(4,1),(5,1),(80,1),(96,1)}
         1:{1,4,5}:{(3,1),(4,1),(6,1),(52,1),(58,1),(80,1)}
         2:{2,5,6}:{(0,1),(7,1),(9,1),(10,1),(11,1),(68,1),(89,1),(91,1),(100,1)}
         3:{2,4,5}:{(1,1),(8,1),(10,1),(12,1),(17,1),(36,1),(37,1),(41,1),(68,1),(74,1),(89,1),(98,1)}
         4:{1,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1),(66,1)}
         5:{1,5,7}:{(0,1),(11,1),(15,1),(16,1)}
         6:{1,3,5}:{(1,1),(12,1),(13,1),(14,1),(17,1)}
         7:{1,5,6}:{(2,1),(18,1),(19,1),(80,1),(96,1)}
         8:{1,4,5}:{(3,1),(18,1),(20,1),(31,1),(58,1),(80,1)}
         9:{3,5,6}:{(2,1),(21,1),(22,1),(24,1),(53,1),(82,1),(83,1),(94,1),(102,1),(104,1)}
        10:{2,4,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(24,1),(25,1),(29,1),(50,1)}
        11:{2,5,7}:{(2,1),(5,1),(19,1),(22,1),(25,1),(26,1)}
        12:{3,5}:{(3,1),(23,1),(24,1),(86,1)}
        13:{1,3,4}:{(6,1),(23,1),(28,1),(58,1),(62,1),(86,1)}
        14:{1,3,6}:{(4,1),(6,1),(24,1),(29,1),(30,1)}
        15:{1,4,7}:{(4,1),(5,1),(25,1),(30,1),(79,1)}
        16:{1,6,7}:{(5,1),(26,1),(96,1)}
        17:{2,5}:{(6,1),(28,1),(29,1),(31,1)}
        18:{1,4,6}:{(7,1),(8,1),(10,1),(33,1),(34,1),(47,1)}
        19:{1,5,7}:{(7,1),(11,1),(34,1),(35,1)}
        20:{1,3,5}:{(8,1),(12,1),(32,1),(33,1),(36,1)}
        21:{4,6}:{(9,1),(37,1),(39,1),(98,1)}
        22:{3,5,7}:{(9,1),(11,1),(39,1),(40,1),(43,1),(73,1)}
        23:{3,4}:{(12,1),(41,1),(98,1)}
        24:{3,6}:{(10,1),(12,1),(43,1)}
        25:{2,4,7}:{(10,1),(11,1),(15,1),(34,1),(39,1),(43,1),(48,1),(67,1)}
        26:{2,6,7}:{(11,1),(16,1),(35,1),(40,1),(91,1),(100,1)}
        27:{2,3,5}:{(12,1),(17,1),(36,1),(41,1),(42,1),(44,1),(45,1),(64,1),(68,1)}
        28:{2,4}:{(13,1),(17,1),(45,1),(46,1),(77,1)}
        29:{2,6}:{(14,1),(17,1),(47,1),(48,1)}
        30:{1,3,7}:{(14,1),(15,1),(43,1),(48,1)}
        31:{1,5}:{(17,1),(46,1),(47,1)}
        32:{1,3,4}:{(20,1),(23,1),(49,1),(58,1),(78,1),(86,1)}
        33:{1,3,6}:{(18,1),(20,1),(24,1),(50,1),(51,1)}
        34:{1,4,7}:{(18,1),(19,1),(25,1),(51,1),(63,1)}
        35:{1,6,7}:{(19,1),(26,1),(96,1)}
        36:{2,5}:{(20,1),(49,1),(50,1),(52,1)}
        37:{4,5}:{(21,1),(53,1),(104,1)}
        38:{3,4,6}:{(21,1),(23,1),(24,1),(53,1),(55,1),(56,1),(82,1)}
        39:{4,7}:{(21,1),(22,1)}
        40:{3,6,7}:{(22,1),(26,1),(57,1),(82,1),(102,1)}
        41:{2,4}:{(23,1),(27,1),(58,1)}
        42:{2,3,6}:{(24,1),(27,1),(29,1),(50,1),(55,1),(59,1),(60,1)}
        43:{3,7}:{(24,1),(25,1)}
        44:{1,3,5}:{(27,1),(31,1),(52,1),(58,1),(59,1),(61,1),(62,1),(78,1),(80,1),(86,1),(94,1)}
        45:{2,3}:{(28,1),(62,1),(86,1)}
        46:{1,4}:{(28,1),(31,1),(62,1)}
        47:{1,6}:{(29,1),(31,1),(63,1)}
        48:{2,7}:{(29,1),(30,1),(63,1)}
        49:{2,4}:{(32,1),(36,1),(64,1),(65,1),(88,1)}
        50:{2,6}:{(33,1),(36,1),(66,1),(67,1)}
        51:{1,3,7}:{(33,1),(34,1),(43,1),(67,1)}
        52:{1,5}:{(36,1),(65,1),(66,1)}
        53:{3,5}:{(37,1),(38,1),(68,1)}
        54:{4,5,7}:{(37,1),(39,1),(69,1),(70,1),(73,1)}
        55:{2,4,6}:{(38,1),(41,1),(42,1),(68,1),(71,1),(72,1),(91,1)}
        56:{3,4,7}:{(38,1),(39,1),(43,1),(69,1),(72,1)}
        57:{4,6,7}:{(39,1),(40,1),(70,1),(73,1),(103,1)}
        58:{1,4}:{(41,1),(44,1),(74,1),(98,1)}
        59:{1,3,6}:{(42,1),(44,1),(47,1),(66,1),(71,1),(75,1),(76,1),(92,1)}
        60:{2,3,7}:{(42,1),(43,1),(48,1),(67,1),(72,1),(76,1)}
        61:{2,5}:{(44,1),(74,1),(75,1),(77,1),(88,1)}
        62:{1,3}:{(45,1),(46,1),(77,1)}
        63:{1,7}:{(47,1),(48,1)}
        64:{2,3}:{(49,1),(78,1),(86,1)}
        65:{1,4}:{(49,1),(52,1),(78,1)}
        66:{1,6}:{(50,1),(52,1),(79,1)}
        67:{2,7}:{(50,1),(51,1),(79,1)}
        68:{2,5}:{(53,1),(55,1),(80,1)}
        69:{3,5,7}:{(53,1),(54,1),(56,1),(81,1),(82,1)}
        70:{4,6}:{(54,1),(82,1),(83,1)}
        71:{1,4,6}:{(55,1),(58,1),(59,1),(80,1),(84,1),(85,1),(96,1)}
        72:{2,4,7}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        73:{5,7}:{(57,1),(83,1),(104,1)}
        74:{2,4}:{(58,1),(61,1),(86,1)}
        75:{2,6}:{(59,1),(61,1),(87,1)}
        76:{1,3,7}:{(59,1),(60,1),(63,1),(79,1),(85,1),(87,1),(97,1)}
        77:{2}:{(62,1)}
        78:{1,3}:{(64,1),(65,1),(88,1)}
        79:{1,7}:{(66,1),(67,1)}
        80:{1,5}:{(68,1),(71,1),(89,1)}
        81:{2,5,7}:{(68,1),(69,1),(72,1),(90,1),(91,1)}
        82:{3,6}:{(69,1),(70,1),(91,1)}
        83:{5,6}:{(70,1),(73,1)}
        84:{2,4,6}:{(71,1),(74,1),(75,1),(89,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        85:{1,4,7}:{(71,1),(72,1),(76,1),(90,1),(93,1)}
        86:{3}:{(74,1)}
        87:{2,7}:{(75,1),(76,1)}
        88:{2}:{(78,1)}
        89:{2,5}:{(80,1),(84,1),(94,1),(104,1)}
        90:{1,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1)}
        91:{2,6}:{(81,1),(82,1),(96,1)}
        92:{3,6}:{(84,1),(86,1),(94,1),(97,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(101,1)}
        94:{3,5}:{(89,1),(92,1),(98,1)}
        95:{2,5,7}:{(89,1),(90,1),(93,1),(99,1),(100,1)}
        96:{1,6}:{(90,1),(91,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{4}:{(94,1)}
        99:{3,5,7}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 100 :   0:{1,4,6,7}:{(1,1),(2,1),(3,1),(19,1),(20,1),(37,1),(78,1)}
         1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(22,1),(27,1),(28,1),(32,1),(58,1)}
         2:{1,3,6,7}:{(0,1),(5,1),(7,1),(8,1),(35,1),(100,1)}
         3:{1,5,7}:{(0,1),(6,1),(9,1)}
         4:{1,4,6,7}:{(1,1),(11,1),(12,1),(16,1),(40,1),(41,1),(48,1)}
         5:{3,6,7}:{(1,1),(13,1),(45,1),(50,1),(80,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(13,1),(14,1)}
         7:{2,6,7}:{(2,1),(16,1),(17,1),(54,1),(122,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1),(50,1)}
         9:{1,5,6}:{(3,1),(14,1),(20,1),(128,1)}
        10:{1,4,5,7}:{(3,1),(15,1),(19,1),(20,1),(21,1),(51,1),(78,1),(85,1),(88,1),(120,1),(128,1)}
        11:{1,3,6,7}:{(4,1),(5,1),(22,1),(23,1),(61,1),(69,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1)}
        13:{3,5,7}:{(5,1),(6,1),(26,1),(27,1)}
        14:{2,5,6}:{(6,1),(9,1),(24,1),(26,1),(28,1),(108,1),(145,1)}
        15:{2,4,5,7}:{(6,1),(10,1),(25,1),(27,1),(28,1),(29,1),(32,1),(36,1),(58,1),(62,1),(63,1),(65,1),(70,1),(101,1),(108,1),(110,1),(145,1),(165,1)}
        16:{1,6,7}:{(7,1),(30,1),(76,1),(139,1)}
        17:{2,5,7}:{(7,1),(8,1),(30,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(33,1),(35,1),(71,1),(73,1)}
        19:{1,4,7}:{(8,1),(27,1),(32,1),(33,1),(114,1)}
        20:{1,4,6}:{(9,1),(10,1),(28,1),(35,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(29,1),(34,1),(35,1),(36,1),(73,1),(100,1),(137,1)}
        22:{2,6,7}:{(11,1),(37,1),(38,1),(84,1),(93,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(38,1),(39,1),(40,1),(80,1)}
        24:{1,5,6}:{(12,1),(14,1),(41,1),(128,1)}
        25:{1,4,5,7}:{(12,1),(15,1),(40,1),(41,1),(42,1),(48,1),(55,1),(81,1),(88,1),(91,1),(128,1)}
        26:{3,5,6}:{(13,1),(14,1),(43,1),(45,1),(86,1),(157,1)}
        27:{4,7}:{(13,1),(43,1)}
        28:{2,4,6}:{(14,1),(15,1),(20,1),(41,1),(43,1),(45,1),(54,1),(84,1)}
        29:{3,5,7}:{(15,1),(44,1),(45,1),(50,1),(80,1),(86,1),(94,1),(123,1),(130,1),(157,1)}
        30:{1,5,7}:{(16,1),(17,1),(47,1),(48,1)}
        31:{2,5,6}:{(17,1),(18,1),(47,1),(49,1),(54,1),(97,1)}
        32:{2,4,7}:{(17,1),(19,1),(48,1),(49,1),(50,1),(93,1)}
        33:{1,4,6}:{(18,1),(19,1),(43,1),(49,1),(51,1),(133,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(44,1),(50,1),(52,1),(53,1),(88,1),(96,1),(130,1),(151,1)}
        35:{1,3,6}:{(20,1),(21,1),(45,1),(54,1)}
        36:{2,5,7}:{(21,1),(53,1),(54,1),(55,1),(97,1),(122,1),(152,1)}
        37:{1,6,7}:{(22,1),(56,1),(107,1),(114,1)}
        38:{2,5,7}:{(22,1),(23,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(57,1),(59,1),(61,1),(102,1),(104,1)}
        40:{1,4,7}:{(23,1),(27,1),(58,1),(59,1),(139,1)}
        41:{1,4,6}:{(24,1),(25,1),(28,1),(61,1),(76,1)}
        42:{1,3,5,7}:{(25,1),(29,1),(60,1),(61,1),(62,1),(69,1),(104,1),(112,1)}
        43:{4,6}:{(26,1),(27,1),(63,1),(165,1)}
        44:{3,4,7}:{(27,1),(29,1),(64,1),(65,1),(115,1),(140,1),(165,1)}
        45:{3,6}:{(28,1),(29,1)}
        46:{2,3,5,7}:{(29,1),(36,1),(62,1),(65,1),(66,1),(67,1),(72,1),(103,1),(108,1),(116,1),(141,1)}
        47:{1,5,6}:{(30,1),(31,1),(68,1),(76,1),(119,1)}
        48:{1,4,7}:{(30,1),(32,1),(68,1),(69,1)}
        49:{2,4,6}:{(31,1),(32,1),(33,1),(68,1),(70,1),(71,1),(113,1)}
        50:{3,7}:{(32,1),(71,1)}
        51:{1,4,5}:{(33,1),(63,1),(70,1),(73,1),(148,1),(149,1),(165,1)}
        52:{1,3,4,6}:{(33,1),(34,1),(35,1),(64,1),(71,1),(73,1),(74,1),(109,1),(115,1),(117,1),(146,1),(149,1),(165,1),(167,1)}
        53:{2,4,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(118,1),(161,1)}
        54:{2,6}:{(35,1),(36,1),(76,1)}
        55:{1,5,7}:{(36,1),(75,1),(76,1),(119,1),(139,1),(162,1)}
        56:{1,5,7}:{(37,1),(38,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(79,1),(84,1),(126,1)}
        58:{2,4,7}:{(38,1),(40,1),(78,1),(79,1),(80,1),(122,1)}
        59:{1,4,6}:{(39,1),(40,1),(43,1),(79,1),(81,1),(153,1)}
        60:{1,3,4,7}:{(40,1),(42,1),(44,1),(80,1),(82,1),(83,1),(88,1),(125,1),(130,1),(131,1)}
        61:{1,3,6}:{(41,1),(42,1),(45,1),(84,1)}
        62:{2,5,7}:{(42,1),(83,1),(84,1),(85,1),(93,1),(126,1),(132,1)}
        63:{4,5}:{(43,1),(86,1)}
        64:{3,4,6}:{(43,1),(44,1),(45,1),(86,1),(87,1)}
        65:{2,4,7}:{(44,1),(46,1),(87,1),(88,1),(134,1),(154,1)}
        66:{2,3,6}:{(45,1),(46,1),(54,1),(84,1),(87,1),(89,1)}
        67:{1,3,5,7}:{(46,1),(55,1),(85,1),(88,1),(89,1),(90,1),(96,1),(125,1),(128,1),(130,1),(135,1),(155,1),(157,1)}
        68:{1,4,6}:{(47,1),(48,1),(49,1),(91,1),(92,1)}
        69:{1,3,7}:{(48,1),(50,1),(92,1),(93,1)}
        70:{2,4,5}:{(49,1),(51,1),(91,1),(94,1),(97,1),(132,1),(134,1),(160,1)}
        71:{3,6}:{(49,1),(50,1),(94,1)}
        72:{2,3,7}:{(50,1),(53,1),(93,1),(95,1),(96,1),(130,1),(168,1)}
        73:{1,3,5}:{(51,1),(52,1),(86,1),(94,1),(97,1),(128,1),(157,1)}
        74:{2,4,6}:{(52,1),(53,1),(54,1),(95,1),(97,1),(98,1),(134,1),(136,1),(160,1)}
        75:{1,4,7}:{(53,1),(55,1),(96,1),(98,1),(169,1)}
        76:{1,6}:{(54,1),(55,1)}
        77:{1,5,6}:{(56,1),(57,1),(99,1),(107,1),(144,1)}
        78:{1,4,7}:{(56,1),(58,1),(99,1),(100,1)}
        79:{2,4,6}:{(57,1),(58,1),(59,1),(99,1),(101,1),(102,1),(138,1)}
        80:{3,7}:{(58,1),(102,1)}
        81:{1,4,5}:{(59,1),(63,1),(101,1),(104,1),(162,1),(163,1),(165,1)}
        82:{1,3,4,6}:{(59,1),(60,1),(61,1),(64,1),(102,1),(104,1),(105,1),(109,1),(140,1),(142,1),(146,1),(163,1),(165,1),(173,1)}
        83:{2,4,7}:{(60,1),(62,1),(103,1),(105,1),(106,1),(143,1),(147,1)}
        84:{2,6}:{(61,1),(62,1),(107,1)}
        85:{1,5,7}:{(62,1),(106,1),(107,1),(114,1),(144,1),(148,1)}
        86:{3,5}:{(63,1),(64,1),(108,1)}
        87:{2,4,6}:{(64,1),(65,1),(66,1),(108,1),(109,1)}
        88:{1,4,7}:{(65,1),(67,1),(109,1),(110,1),(149,1),(163,1),(165,1)}
        89:{1,3,6}:{(66,1),(67,1),(76,1),(107,1),(109,1),(111,1),(146,1)}
        90:{2,5,7}:{(67,1),(110,1),(111,1),(118,1),(143,1),(145,1),(150,1),(164,1)}
        91:{1,4,5}:{(68,1),(70,1),(112,1),(119,1),(149,1)}
        92:{1,3,6}:{(68,1),(69,1),(71,1),(112,1),(113,1)}
        93:{2,7}:{(69,1),(113,1),(114,1)}
        94:{3,5}:{(70,1),(71,1),(115,1),(167,1)}
        95:{2,3,6}:{(71,1),(72,1),(74,1),(113,1),(116,1),(117,1),(146,1),(167,1)}
        96:{1,3,7}:{(72,1),(75,1),(114,1),(117,1),(118,1),(172,1)}
        97:{2,5}:{(73,1),(74,1),(119,1)}
        98:{1,4,6}:{(74,1),(75,1),(76,1),(117,1),(119,1),(149,1)}
        99:{1,4,6}:{(77,1),(78,1),(79,1),(120,1),(121,1)}
       100:{1,3,7}:{(78,1),(80,1),(121,1),(122,1)}
       101:{2,4,5}:{(79,1),(81,1),(120,1),(123,1),(126,1),(152,1),(154,1),(170,1)}
       102:{3,6}:{(79,1),(80,1),(123,1)}
       103:{2,3,7}:{(80,1),(83,1),(122,1),(124,1),(125,1),(130,1),(158,1)}
       104:{1,3,5}:{(81,1),(82,1),(86,1),(123,1),(126,1),(128,1),(157,1)}
       105:{2,4,6}:{(82,1),(83,1),(84,1),(124,1),(126,1),(127,1),(154,1),(156,1),(170,1)}
       106:{1,4,7}:{(83,1),(85,1),(125,1),(127,1),(159,1)}
       107:{1,6}:{(84,1),(85,1)}
       108:{2,5}:{(86,1),(87,1),(128,1)}
       109:{1,4,6}:{(87,1),(88,1),(89,1),(128,1),(129,1)}
       110:{2,4,7}:{(88,1),(90,1),(129,1),(130,1),(160,1),(170,1)}
       111:{2,6}:{(89,1),(90,1)}
       112:{1,3,5}:{(91,1),(92,1),(94,1),(131,1),(132,1)}
       113:{2,6}:{(92,1),(93,1),(132,1),(133,1)}
       114:{1,7}:{(93,1),(133,1)}
       115:{3,4}:{(94,1),(134,1)}
       116:{2,3,5}:{(94,1),(95,1),(97,1),(132,1),(134,1),(135,1),(157,1),(158,1)}
       117:{1,3,6}:{(95,1),(96,1),(98,1),(133,1),(135,1),(136,1)}
       118:{2,7}:{(96,1),(136,1),(174,1)}
       119:{1,5}:{(97,1),(98,1)}
       120:{1,4,5}:{(99,1),(101,1),(137,1),(144,1),(163,1)}
       121:{1,3,6}:{(99,1),(100,1),(102,1),(137,1),(138,1)}
       122:{2,7}:{(100,1),(138,1),(139,1)}
       123:{3,5}:{(101,1),(102,1),(140,1),(173,1)}
       124:{2,3,6}:{(102,1),(103,1),(105,1),(138,1),(141,1),(142,1),(146,1),(173,1)}
       125:{1,3,7}:{(103,1),(106,1),(139,1),(142,1),(143,1),(166,1)}
       126:{2,5}:{(104,1),(105,1),(144,1)}
       127:{1,4,6}:{(105,1),(106,1),(107,1),(142,1),(144,1),(163,1)}
       128:{1,5}:{(108,1),(109,1),(145,1)}
       129:{2,4,6}:{(109,1),(110,1),(111,1),(145,1),(146,1),(165,1)}
       130:{3,7}:{(110,1),(146,1),(167,1),(173,1)}
       131:{1,3,4}:{(112,1),(115,1),(147,1),(149,1),(166,1),(167,1)}
       132:{2,5}:{(112,1),(113,1),(147,1),(148,1)}
       133:{1,6}:{(113,1),(114,1),(148,1)}
       134:{2,4}:{(115,1),(116,1),(149,1),(165,1)}
       135:{1,3,5}:{(116,1),(117,1),(119,1),(148,1),(149,1),(150,1),(166,1),(167,1)}
       136:{2,6}:{(117,1),(118,1),(150,1)}
       137:{1,3,5}:{(120,1),(121,1),(123,1),(151,1),(152,1)}
       138:{2,6}:{(121,1),(122,1),(152,1),(153,1)}
       139:{1,7}:{(122,1),(153,1)}
       140:{3,4}:{(123,1),(154,1)}
       141:{2,3,5}:{(123,1),(124,1),(126,1),(152,1),(154,1),(155,1),(157,1),(168,1)}
       142:{1,3,6}:{(124,1),(125,1),(127,1),(153,1),(155,1),(156,1)}
       143:{2,7}:{(125,1),(156,1),(171,1)}
       144:{1,5}:{(126,1),(127,1)}
       145:{2,5}:{(128,1),(129,1),(157,1)}
       146:{3,6}:{(129,1),(130,1),(157,1)}
       147:{2,4}:{(131,1),(132,1),(158,1),(159,1),(171,1)}
       148:{1,5}:{(132,1),(133,1),(159,1)}
       149:{1,4}:{(134,1),(135,1),(160,1)}
       150:{2,5}:{(135,1),(136,1),(160,1),(171,1)}
       151:{1,3,4}:{(137,1),(140,1),(161,1),(163,1),(172,1),(173,1)}
       152:{2,5}:{(137,1),(138,1),(161,1),(162,1)}
       153:{1,6}:{(138,1),(139,1),(162,1)}
       154:{2,4}:{(140,1),(141,1),(163,1),(165,1)}
       155:{1,3,5}:{(141,1),(142,1),(144,1),(162,1),(163,1),(164,1),(172,1),(173,1)}
       156:{2,6}:{(142,1),(143,1),(164,1)}
       157:{3,5}:{(145,1),(146,1),(165,1)}
       158:{2,3}:{(147,1),(166,1),(167,1)}
       159:{1,4}:{(147,1),(148,1),(166,1)}
       160:{2,4}:{(149,1),(150,1),(167,1)}
       161:{2,4}:{(151,1),(152,1),(168,1),(169,1),(174,1)}
       162:{1,5}:{(152,1),(153,1),(169,1)}
       163:{1,4}:{(154,1),(155,1),(170,1)}
       164:{2,5}:{(155,1),(156,1),(170,1),(174,1)}
       165:{4}:{(157,1)}
       166:{1,3}:{(158,1),(159,1),(171,1)}
       167:{3}:{(160,1)}
       168:{2,3}:{(161,1),(172,1),(173,1)}
       169:{1,4}:{(161,1),(162,1),(172,1)}
       170:{2,4}:{(163,1),(164,1),(173,1)}
       171:{2}:{(166,1)}
       172:{1,3}:{(168,1),(169,1),(174,1)}
       173:{3}:{(170,1)}
       174:{2}:{(172,1)}

 101 :   0:{1,6,7}:{(2,1),(4,1),(92,1)}
         1:{1,5,6}:{(3,1),(4,1),(5,1),(75,1),(92,1)}
         2:{2,6,7}:{(0,1),(6,1),(8,1),(10,1),(84,1),(98,1)}
         3:{2,5,6}:{(1,1),(7,1),(9,1),(10,1),(11,1),(61,1),(84,1),(86,1),(98,1)}
         4:{1,5,7}:{(0,1),(1,1),(10,1),(13,1)}
         5:{1,4,6}:{(1,1),(11,1),(12,1),(13,1),(14,1),(58,1)}
         6:{1,6,7}:{(2,1),(15,1),(92,1)}
         7:{1,5,6}:{(3,1),(15,1),(16,1),(75,1),(92,1)}
         8:{3,6,7}:{(2,1),(17,1),(18,1),(73,1),(101,1)}
         9:{3,5,6}:{(3,1),(18,1),(19,1),(22,1),(43,1),(45,1),(73,1),(94,1),(101,1),(104,1)}
        10:{2,5,7}:{(2,1),(3,1),(4,1),(15,1),(18,1),(21,1)}
        11:{2,4,6}:{(3,1),(5,1),(16,1),(19,1),(20,1),(21,1),(22,1),(25,1),(42,1)}
        12:{1,4,5}:{(5,1),(20,1),(23,1),(71,1),(75,1),(78,1)}
        13:{1,4,7}:{(4,1),(5,1),(21,1),(24,1),(72,1)}
        14:{1,3,6}:{(5,1),(22,1),(23,1),(24,1),(25,1)}
        15:{1,5,7}:{(6,1),(7,1),(10,1),(27,1)}
        16:{1,4,6}:{(7,1),(11,1),(26,1),(27,1),(28,1),(39,1)}
        17:{4,6,7}:{(8,1),(29,1),(31,1),(59,1),(103,1)}
        18:{3,5,7}:{(8,1),(9,1),(10,1),(29,1),(31,1),(34,1)}
        19:{4,6}:{(9,1),(30,1),(31,1),(100,1)}
        20:{2,4,5}:{(11,1),(12,1),(26,1),(30,1),(33,1),(37,1),(56,1),(61,1),(64,1),(86,1),(89,1),(100,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(27,1),(31,1),(34,1),(38,1),(57,1)}
        22:{3,6}:{(11,1),(33,1),(34,1)}
        23:{1,3,5}:{(12,1),(14,1),(33,1),(36,1),(37,1)}
        24:{1,3,7}:{(13,1),(14,1),(34,1),(38,1)}
        25:{2,6}:{(14,1),(37,1),(38,1),(39,1)}
        26:{1,4,5}:{(16,1),(20,1),(40,1),(53,1),(75,1),(78,1)}
        27:{1,4,7}:{(15,1),(16,1),(21,1),(41,1),(54,1)}
        28:{1,3,6}:{(16,1),(22,1),(40,1),(41,1),(42,1)}
        29:{5,7}:{(17,1),(43,1),(104,1)}
        30:{4,5}:{(19,1),(45,1),(104,1)}
        31:{4,7}:{(18,1),(19,1)}
        32:{3,4,6}:{(19,1),(22,1),(45,1),(46,1),(47,1),(48,1),(73,1)}
        33:{3,5}:{(20,1),(22,1),(48,1),(96,1)}
        34:{3,7}:{(21,1),(22,1)}
        35:{2,3,6}:{(22,1),(25,1),(42,1),(47,1),(49,1),(50,1),(51,1)}
        36:{1,3,4}:{(23,1),(48,1),(52,1),(78,1),(81,1),(96,1)}
        37:{2,5}:{(23,1),(25,1),(52,1),(53,1)}
        38:{2,7}:{(24,1),(25,1),(54,1)}
        39:{1,6}:{(25,1),(53,1),(54,1)}
        40:{1,3,5}:{(26,1),(28,1),(33,1),(55,1),(56,1)}
        41:{1,3,7}:{(27,1),(28,1),(34,1),(57,1)}
        42:{2,6}:{(28,1),(56,1),(57,1),(58,1)}
        43:{5,6}:{(29,1),(59,1)}
        44:{4,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1)}
        45:{3,5}:{(30,1),(32,1),(61,1)}
        46:{3,4,7}:{(31,1),(32,1),(34,1),(60,1),(62,1)}
        47:{2,4,6}:{(32,1),(35,1),(61,1),(62,1),(63,1),(64,1),(84,1)}
        48:{3,4}:{(33,1),(64,1),(100,1)}
        49:{2,3,5}:{(33,1),(35,1),(37,1),(56,1),(61,1),(64,1),(65,1),(68,1),(82,1)}
        50:{2,3,7}:{(34,1),(35,1),(38,1),(57,1),(62,1),(66,1)}
        51:{1,3,6}:{(35,1),(39,1),(58,1),(63,1),(65,1),(66,1),(67,1),(88,1)}
        52:{2,4}:{(36,1),(37,1),(68,1),(69,1),(90,1)}
        53:{1,5}:{(37,1),(39,1),(69,1)}
        54:{1,7}:{(38,1),(39,1)}
        55:{1,3,4}:{(40,1),(48,1),(70,1),(78,1),(91,1),(96,1)}
        56:{2,5}:{(40,1),(42,1),(70,1),(71,1)}
        57:{2,7}:{(41,1),(42,1),(72,1)}
        58:{1,6}:{(42,1),(71,1),(72,1)}
        59:{4,6}:{(43,1),(44,1),(73,1)}
        60:{3,5,7}:{(44,1),(45,1),(46,1),(73,1),(74,1)}
        61:{2,5}:{(45,1),(47,1),(75,1)}
        62:{2,4,7}:{(46,1),(47,1),(50,1),(74,1),(76,1)}
        63:{1,4,6}:{(47,1),(51,1),(75,1),(76,1),(77,1),(78,1),(92,1)}
        64:{2,4}:{(48,1),(49,1),(78,1)}
        65:{1,3,5}:{(49,1),(51,1),(53,1),(71,1),(75,1),(78,1),(79,1),(81,1),(91,1),(94,1),(96,1)}
        66:{1,3,7}:{(50,1),(51,1),(54,1),(72,1),(76,1),(80,1),(95,1)}
        67:{2,6}:{(51,1),(79,1),(80,1)}
        68:{2,3}:{(52,1),(81,1),(96,1)}
        69:{1,4}:{(52,1),(53,1),(81,1)}
        70:{2,4}:{(55,1),(56,1),(82,1),(83,1),(97,1)}
        71:{1,5}:{(56,1),(58,1),(83,1)}
        72:{1,7}:{(57,1),(58,1)}
        73:{3,6}:{(59,1),(60,1),(84,1)}
        74:{2,5,7}:{(60,1),(61,1),(62,1),(84,1),(85,1)}
        75:{1,5}:{(61,1),(63,1),(86,1)}
        76:{1,4,7}:{(62,1),(63,1),(66,1),(85,1),(87,1)}
        77:{2,4,6}:{(63,1),(67,1),(86,1),(87,1),(88,1),(89,1),(98,1),(100,1),(103,1)}
        78:{1,4}:{(64,1),(65,1),(89,1),(100,1)}
        79:{2,5}:{(65,1),(67,1),(89,1),(90,1),(97,1)}
        80:{2,7}:{(66,1),(67,1)}
        81:{1,3}:{(68,1),(69,1),(90,1)}
        82:{2,3}:{(70,1),(91,1),(96,1)}
        83:{1,4}:{(70,1),(71,1),(91,1)}
        84:{2,6}:{(73,1),(74,1),(92,1)}
        85:{1,5,7}:{(74,1),(75,1),(76,1),(92,1),(93,1)}
        86:{2,5}:{(75,1),(77,1),(94,1),(104,1)}
        87:{2,4,7}:{(76,1),(77,1),(80,1),(93,1),(95,1),(102,1)}
        88:{3,6}:{(77,1),(94,1),(95,1),(96,1)}
        89:{2,4}:{(78,1),(79,1),(96,1)}
        90:{2}:{(81,1)}
        91:{1,3}:{(82,1),(83,1),(97,1)}
        92:{1,6}:{(84,1),(85,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(87,1),(98,1),(99,1)}
        94:{3,5}:{(86,1),(88,1),(100,1)}
        95:{3,7}:{(87,1),(88,1)}
        96:{3}:{(89,1)}
        97:{2}:{(91,1)}
        98:{2,6}:{(92,1),(93,1),(101,1)}
        99:{3,5,7}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
       100:{4}:{(94,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{4,7}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 102 :  0:{2,3}:{(1,1),(2,1)}
        1:{1,3}:{(0,1),(3,1),(4,1),(11,1)}
        2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2}:{(1,1)}
        4:{1,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,4}:{(2,1),(9,1)}
        6:{2,5}:{(2,1),(8,1),(9,1),(10,1)}
        7:{2,4}:{(3,1),(4,1),(11,1),(12,1),(22,1)}
        8:{1,5}:{(4,1),(6,1),(12,1),(13,1)}
        9:{3,5}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,6}:{(6,1),(13,1),(15,1),(16,1)}
       11:{3}:{(7,1)}
       12:{2,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,5}:{(9,1),(20,1)}
       15:{3,6}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,7}:{(10,1),(19,1),(21,1)}
       17:{3,5}:{(11,1),(12,1),(22,1),(23,1),(30,1)}
       18:{2,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,7}:{(13,1),(16,1),(24,1)}
       20:{4,6}:{(14,1),(15,1),(25,1),(26,1)}
       21:{3,7}:{(15,1),(16,1),(26,1)}
       22:{4}:{(17,1)}
       23:{3,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{2,7}:{(18,1),(19,1),(28,1)}
       25:{5,6}:{(20,1),(29,1)}
       26:{4,7}:{(20,1),(21,1),(29,1)}
       27:{4,6}:{(22,1),(23,1),(30,1),(31,1),(34,1)}
       28:{3,7}:{(23,1),(24,1),(31,1)}
       29:{5,7}:{(25,1),(26,1),(32,1)}
       30:{5}:{(27,1)}
       31:{4,7}:{(27,1),(28,1),(33,1)}
       32:{6,7}:{(29,1)}
       33:{5,7}:{(30,1),(31,1),(34,1)}
       34:{6}:{(33,1)}

 103 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

 104 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 105 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 106 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(36,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(55,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(27,1),(56,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(76,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(36,1),(45,1),(46,1),(82,1),(83,1),(101,1),(112,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(55,1),(59,1),(62,1),(84,1),(98,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(98,1),(115,1),(119,1),(122,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(27,1),(30,1),(100,1),(115,1),(122,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(27,1),(29,1),(56,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(27,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(36,1),(65,1),(71,1),(75,1),(82,1),(103,1),(104,1),(106,1),(112,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(36,1),(37,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(37,1),(39,1),(76,1)}
        24:{2,4,7}:{(13,1),(33,1),(36,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(37,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{3,6}:{(15,1),(16,1)}
        28:{2,4,6,7}:{(16,1),(38,1),(43,1),(45,1),(77,1),(83,1),(112,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(49,1),(54,1),(86,1),(100,1),(122,1)}
        32:{2,4,6}:{(19,1),(23,1),(49,1),(51,1),(56,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(122,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{2,5,7}:{(22,1),(24,1),(55,1),(56,1),(61,1),(123,1),(134,1)}
        37:{1,3,6}:{(22,1),(23,1),(27,1),(49,1),(56,1)}
        38:{1,4,6,7}:{(23,1),(28,1),(50,1),(57,1),(59,1),(94,1),(98,1),(120,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(59,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(55,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(56,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(122,1)}
        44:{3,5,6}:{(27,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        45:{2,5,7}:{(28,1),(29,1),(59,1),(63,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(106,1),(109,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(36,1),(65,1),(67,1),(68,1),(74,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(38,1),(69,1),(71,1),(77,1),(106,1),(112,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(70,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,5,7}:{(36,1),(40,1),(76,1),(81,1),(130,1),(138,1)}
        56:{2,6}:{(36,1),(37,1),(76,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(43,1),(69,1),(77,1),(79,1),(128,1)}
        58:{1,3,5,6}:{(37,1),(39,1),(42,1),(44,1),(70,1),(78,1),(79,1),(80,1),(113,1)}
        59:{1,5,7}:{(38,1),(39,1),(45,1),(71,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(76,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(44,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(55,1),(84,1),(87,1),(88,1),(92,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(56,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(122,1)}
        70:{3,5,6}:{(49,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(59,1),(89,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{1,6}:{(55,1),(56,1)}
        77:{2,6,7}:{(56,1),(57,1),(94,1),(96,1),(134,1)}
        78:{2,5,6}:{(56,1),(58,1),(61,1),(95,1),(96,1),(97,1)}
        79:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(89,1),(96,1),(98,1),(122,1)}
        80:{1,4,6}:{(58,1),(62,1),(64,1),(90,1),(97,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(97,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(72,1),(101,1),(105,1),(107,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(76,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(75,1),(104,1),(106,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(77,1),(110,1),(138,1)}
        95:{1,5,6}:{(76,1),(78,1),(81,1),(110,1),(111,1)}
        96:{2,5,7}:{(77,1),(78,1),(79,1),(110,1),(112,1)}
        97:{2,4,6}:{(78,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        98:{1,4,7}:{(79,1),(80,1),(83,1),(106,1),(112,1),(138,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(111,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(96,1),(120,1)}
       111:{1,4,6}:{(95,1),(97,1),(99,1),(120,1),(121,1)}
       112:{2,4,7}:{(96,1),(97,1),(98,1),(120,1),(122,1),(134,1)}
       113:{3,6}:{(97,1),(100,1),(122,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(121,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{1,3,6}:{(111,1),(113,1),(114,1),(128,1),(129,1)}
       122:{3,7}:{(112,1),(113,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(121,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 107 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(24,1),(27,1),(31,1),(56,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(56,1),(87,1)}
         2:{2,4,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(17,1),(41,1)}
         3:{3,5}:{(0,1),(9,1),(12,1)}
         4:{3,4,7}:{(0,1),(10,1),(13,1),(42,1),(74,1)}
         5:{1,3,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(32,1),(100,1)}
         6:{2,3,5}:{(1,1),(9,1),(15,1),(17,1),(40,1),(73,1),(76,1)}
         7:{2,3,7}:{(1,1),(10,1),(16,1),(74,1),(101,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(30,1),(55,1)}
         9:{2,5}:{(2,1),(3,1),(19,1)}
        10:{2,4,7}:{(2,1),(4,1),(7,1),(20,1),(23,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(27,1),(56,1),(60,1),(136,1),(144,1),(146,1)}
        12:{4,5}:{(3,1),(24,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(23,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(19,1),(28,1),(30,1),(47,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(20,1),(29,1),(48,1),(113,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,4,6}:{(8,1),(14,1),(32,1),(33,1),(34,1),(45,1),(64,1),(69,1),(96,1)}
        19:{1,5}:{(8,1),(9,1),(33,1)}
        20:{1,4,7}:{(8,1),(10,1),(16,1),(34,1),(37,1)}
        21:{2,5,6}:{(9,1),(11,1),(35,1),(38,1),(39,1),(41,1),(131,1),(142,1)}
        22:{2,4,5}:{(9,1),(12,1),(17,1),(36,1),(38,1),(40,1),(73,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(9,1),(10,1),(13,1),(37,1),(41,1)}
        24:{4,6}:{(11,1),(12,1),(42,1),(140,1)}
        25:{3,5,7}:{(11,1),(39,1),(42,1),(43,1),(74,1),(75,1)}
        26:{4,5,7}:{(12,1),(13,1),(42,1),(44,1),(75,1)}
        27:{3,6}:{(13,1),(41,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(64,1)}
        31:{3,4}:{(17,1),(40,1),(140,1)}
        32:{3,6}:{(18,1),(47,1),(48,1),(61,1)}
        33:{2,5}:{(18,1),(19,1),(47,1),(109,1)}
        34:{2,4,7}:{(18,1),(20,1),(29,1),(48,1),(51,1),(81,1)}
        35:{1,5,6}:{(19,1),(21,1),(49,1),(52,1),(53,1),(55,1),(123,1),(138,1)}
        36:{1,4,5}:{(19,1),(22,1),(30,1),(50,1),(52,1),(54,1),(89,1),(108,1),(123,1)}
        37:{1,5,7}:{(19,1),(20,1),(23,1),(51,1),(55,1)}
        38:{2,4,6}:{(21,1),(22,1),(24,1),(52,1),(56,1),(57,1),(87,1)}
        39:{2,5,7}:{(21,1),(25,1),(53,1),(57,1),(58,1)}
        40:{3,5}:{(22,1),(31,1),(56,1),(129,1)}
        41:{2,6}:{(23,1),(27,1),(55,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(27,1),(58,1),(59,1),(144,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(54,1),(61,1),(62,1),(80,1),(90,1),(108,1),(129,1)}
        47:{3,5}:{(32,1),(33,1),(64,1)}
        48:{3,7}:{(32,1),(34,1)}
        49:{2,5,6}:{(33,1),(35,1),(63,1),(66,1),(67,1),(69,1),(114,1),(133,1)}
        50:{2,4,5}:{(33,1),(36,1),(45,1),(64,1),(66,1),(68,1),(73,1),(91,1),(95,1),(114,1)}
        51:{2,5,7}:{(33,1),(34,1),(37,1),(65,1),(69,1)}
        52:{1,4,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(71,1),(100,1)}
        53:{1,5,7}:{(35,1),(39,1),(67,1),(71,1),(72,1)}
        54:{1,3,5}:{(36,1),(40,1),(46,1),(68,1),(70,1),(73,1)}
        55:{1,6}:{(37,1),(41,1),(69,1)}
        56:{3,6}:{(38,1),(40,1),(74,1)}
        57:{2,4,7}:{(38,1),(39,1),(42,1),(71,1),(74,1),(101,1)}
        58:{2,6,7}:{(39,1),(41,1),(43,1),(72,1),(142,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(75,1),(145,1)}
        60:{5,6}:{(44,1),(75,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(73,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(49,1),(78,1),(79,1),(82,1),(83,1),(103,1),(109,1),(125,1),(126,1)}
        64:{4}:{(47,1)}
        65:{3,5,7}:{(47,1),(48,1),(51,1),(81,1),(82,1),(109,1)}
        66:{2,4,6}:{(49,1),(50,1),(52,1),(78,1),(83,1),(84,1),(87,1)}
        67:{2,5,7}:{(49,1),(53,1),(79,1),(84,1),(85,1)}
        68:{3,5}:{(50,1),(61,1),(80,1),(83,1)}
        69:{2,6}:{(51,1),(55,1),(82,1)}
        70:{1,3,6}:{(52,1),(54,1),(56,1),(83,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(53,1),(57,1),(84,1),(88,1),(113,1)}
        72:{1,6,7}:{(53,1),(55,1),(58,1),(85,1),(138,1)}
        73:{2,5}:{(54,1),(62,1),(87,1),(89,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{5,7}:{(59,1),(60,1),(146,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(129,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(64,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(67,1),(93,1),(94,1),(98,1),(119,1)}
        80:{3,4}:{(64,1),(68,1),(95,1)}
        81:{4,7}:{(64,1),(65,1),(96,1)}
        82:{3,6}:{(65,1),(69,1),(96,1)}
        83:{3,6}:{(66,1),(68,1),(98,1)}
        84:{2,4,7}:{(66,1),(67,1),(71,1),(93,1),(98,1),(101,1)}
        85:{2,6,7}:{(67,1),(69,1),(72,1),(94,1),(133,1)}
        86:{2,3,5}:{(68,1),(73,1),(76,1),(95,1),(97,1),(99,1),(114,1)}
        87:{2,6}:{(70,1),(73,1),(100,1),(101,1)}
        88:{1,3,7}:{(70,1),(71,1),(74,1),(98,1),(101,1)}
        89:{1,5}:{(73,1),(77,1),(100,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(109,1)}
        92:{3,4,6}:{(78,1),(80,1),(83,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(85,1),(107,1),(125,1)}
        95:{2,4}:{(80,1),(86,1),(108,1)}
        96:{4,6}:{(81,1),(82,1),(109,1)}
        97:{2,3,6}:{(83,1),(86,1),(87,1),(105,1),(110,1),(111,1)}
        98:{3,7}:{(83,1),(84,1)}
        99:{1,3,5}:{(86,1),(89,1),(90,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
       100:{1,6}:{(87,1),(89,1),(113,1)}
       101:{2,7}:{(87,1),(88,1),(113,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(97,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(98,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(96,1),(116,1),(119,1)}
       108:{1,4}:{(95,1),(99,1),(120,1),(140,1)}
       109:{5}:{(96,1)}
       110:{1,3,6}:{(97,1),(99,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(99,1),(102,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 108 :   0:{3,4,7}:{(2,1),(3,1),(4,1),(54,1),(80,1)}
         1:{2,3,7}:{(2,1),(5,1),(6,1),(80,1),(103,1)}
         2:{2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1)}
         3:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1)}
         4:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(39,1),(42,1),(67,1)}
         5:{1,3,7}:{(1,1),(7,1),(13,1),(14,1),(28,1),(115,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(67,1),(92,1)}
         7:{1,4,7}:{(2,1),(5,1),(16,1),(17,1),(18,1)}
         8:{2,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1)}
         9:{2,4,6}:{(2,1),(4,1),(6,1),(18,1),(19,1),(20,1),(27,1)}
        10:{4,5,7}:{(3,1),(21,1),(24,1),(53,1),(54,1)}
        11:{3,6}:{(3,1),(19,1),(21,1)}
        12:{3,5}:{(4,1),(20,1),(24,1)}
        13:{2,7}:{(5,1),(25,1)}
        14:{1,3,6}:{(5,1),(6,1),(18,1),(25,1),(26,1),(44,1),(104,1)}
        15:{2,3,5}:{(6,1),(20,1),(26,1),(27,1),(52,1),(79,1),(81,1)}
        16:{2,4,7}:{(7,1),(13,1),(28,1),(29,1),(30,1),(57,1)}
        17:{1,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1)}
        18:{1,4,6}:{(7,1),(9,1),(14,1),(30,1),(31,1),(32,1),(41,1)}
        19:{2,6}:{(8,1),(11,1),(31,1)}
        20:{2,5}:{(9,1),(12,1),(32,1)}
        21:{4,6}:{(10,1),(11,1),(37,1)}
        22:{3,6,7}:{(11,1),(33,1),(36,1),(38,1),(143,1)}
        23:{3,5,6}:{(11,1),(12,1),(34,1),(37,1),(38,1),(39,1),(67,1),(138,1),(143,1),(146,1)}
        24:{4,5}:{(12,1),(39,1),(146,1)}
        25:{2,6}:{(13,1),(14,1),(40,1)}
        26:{1,3,5}:{(14,1),(15,1),(32,1),(40,1),(41,1),(59,1),(68,1),(93,1),(94,1)}
        27:{2,4}:{(15,1),(41,1),(42,1)}
        28:{3,7}:{(16,1),(44,1)}
        29:{2,5,7}:{(16,1),(17,1),(43,1),(45,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(25,1),(44,1),(45,1),(46,1),(55,1),(70,1),(73,1)}
        31:{1,6}:{(17,1),(19,1),(45,1)}
        32:{1,5}:{(18,1),(20,1),(46,1)}
        33:{2,6,7}:{(19,1),(22,1),(47,1),(50,1),(140,1)}
        34:{2,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(51,1),(133,1),(140,1)}
        35:{2,4,5}:{(20,1),(24,1),(27,1),(49,1),(51,1),(52,1),(79,1),(121,1),(133,1),(142,1)}
        36:{4,6,7}:{(21,1),(22,1),(53,1),(54,1),(145,1)}
        37:{5,6}:{(21,1),(53,1)}
        38:{3,5,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(80,1)}
        39:{4,6}:{(23,1),(24,1),(54,1),(142,1)}
        40:{2,5}:{(25,1),(26,1),(55,1),(105,1)}
        41:{1,4}:{(26,1),(27,1),(55,1),(73,1)}
        42:{3,4}:{(27,1),(52,1),(142,1)}
        43:{3,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(84,1)}
        44:{3,6}:{(28,1),(30,1),(59,1),(68,1)}
        45:{2,6}:{(29,1),(31,1),(58,1)}
        46:{2,5}:{(30,1),(32,1),(59,1),(84,1)}
        47:{1,6,7}:{(31,1),(33,1),(60,1),(63,1),(136,1)}
        48:{1,5,6}:{(31,1),(32,1),(34,1),(61,1),(63,1),(64,1),(126,1),(136,1)}
        49:{1,4,5}:{(32,1),(35,1),(41,1),(62,1),(64,1),(65,1),(93,1),(111,1),(126,1)}
        50:{2,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1)}
        51:{2,4,6}:{(34,1),(35,1),(39,1),(64,1),(66,1),(67,1),(92,1)}
        52:{3,5}:{(35,1),(42,1),(67,1),(129,1)}
        53:{5,7}:{(36,1),(37,1),(146,1)}
        54:{4,7}:{(38,1),(39,1)}
        55:{2,4}:{(40,1),(41,1),(68,1)}
        56:{1,3,4}:{(41,1),(42,1),(65,1),(68,1),(69,1),(87,1),(94,1),(111,1),(129,1)}
        57:{4,7}:{(43,1),(70,1),(73,1)}
        58:{3,6}:{(43,1),(45,1),(70,1)}
        59:{3,5}:{(44,1),(46,1),(73,1)}
        60:{2,6,7}:{(45,1),(47,1),(71,1),(74,1),(131,1)}
        61:{2,5,6}:{(45,1),(46,1),(48,1),(72,1),(74,1),(75,1),(118,1),(131,1)}
        62:{2,4,5}:{(46,1),(49,1),(55,1),(73,1),(75,1),(76,1),(79,1),(96,1),(99,1),(118,1)}
        63:{1,5,7}:{(47,1),(48,1),(50,1),(74,1),(77,1)}
        64:{1,4,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(78,1),(104,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(76,1),(78,1),(79,1)}
        66:{2,4,7}:{(50,1),(51,1),(54,1),(77,1),(80,1),(103,1)}
        67:{3,6}:{(51,1),(52,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(79,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(60,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        73:{4}:{(59,1)}
        74:{2,5,7}:{(60,1),(61,1),(63,1),(85,1),(88,1)}
        75:{2,4,6}:{(61,1),(62,1),(64,1),(86,1),(88,1),(89,1),(92,1)}
        76:{3,5}:{(62,1),(68,1),(87,1),(89,1)}
        77:{1,4,7}:{(63,1),(64,1),(66,1),(88,1),(91,1),(115,1)}
        78:{1,3,6}:{(64,1),(65,1),(67,1),(89,1),(91,1),(92,1)}
        79:{2,5}:{(65,1),(69,1),(92,1),(93,1)}
        80:{3,7}:{(66,1),(67,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(129,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(74,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(72,1),(73,1),(96,1),(97,1)}
        87:{3,4}:{(73,1),(76,1),(99,1)}
        88:{2,4,7}:{(74,1),(75,1),(77,1),(97,1),(100,1),(103,1)}
        89:{3,6}:{(75,1),(76,1),(100,1)}
        90:{2,3,5}:{(76,1),(79,1),(81,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3,7}:{(77,1),(78,1),(80,1),(100,1),(103,1)}
        92:{2,6}:{(78,1),(79,1),(103,1),(104,1)}
        93:{1,5}:{(79,1),(82,1),(104,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(93,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2,7}:{(91,1),(92,1),(115,1)}
       104:{1,6}:{(92,1),(93,1),(115,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(103,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(105,1),(121,1),(123,1)}
       115:{1,7}:{(103,1),(104,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 109 :  0:{4,5}:{(3,1),(4,1)}
        1:{3,4}:{(3,1),(5,1)}
        2:{2,3}:{(5,1),(6,1)}
        3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
        4:{4,6}:{(0,1),(8,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(7,1),(11,1)}
        6:{1,3}:{(2,1),(11,1),(12,1),(22,1)}
        7:{2,5}:{(3,1),(5,1),(13,1),(14,1)}
        8:{3,6}:{(3,1),(4,1),(14,1),(15,1)}
        9:{5,6}:{(4,1),(16,1)}
       10:{4,7}:{(4,1),(15,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(13,1),(17,1)}
       12:{2}:{(6,1)}
       13:{1,5}:{(7,1),(11,1),(18,1),(19,1)}
       14:{2,6}:{(7,1),(8,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(10,1),(20,1)}
       16:{5,7}:{(9,1),(10,1),(21,1)}
       17:{2,4}:{(11,1),(12,1),(18,1),(22,1),(26,1)}
       18:{2,5}:{(13,1),(17,1),(23,1),(24,1)}
       19:{1,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,7}:{(14,1),(15,1),(25,1)}
       21:{6,7}:{(16,1)}
       22:{3}:{(17,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 110 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(12,1),(20,1),(39,1),(46,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(28,1),(32,1),(60,1),(67,1),(68,1)}
         2:{2,4}:{(0,1),(6,1),(8,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(61,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(13,1),(20,1),(39,1),(52,1),(106,1),(129,1),(140,1)}
         5:{2,5}:{(1,1),(14,1),(15,1),(86,1)}
         6:{1,4}:{(1,1),(2,1),(14,1),(87,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(17,1),(18,1),(47,1),(81,1)}
         8:{3,4}:{(2,1),(12,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(18,1),(21,1),(44,1),(82,1)}
        11:{1,4,5}:{(4,1),(6,1),(22,1),(23,1),(24,1),(32,1),(60,1),(91,1),(120,1)}
        12:{3,5}:{(4,1),(8,1),(25,1),(118,1)}
        13:{2,4,6}:{(4,1),(24,1),(25,1),(26,1),(27,1),(61,1),(64,1)}
        14:{2,4}:{(5,1),(6,1),(28,1)}
        15:{2,6}:{(5,1),(7,1),(30,1)}
        16:{1,3,4}:{(6,1),(8,1),(23,1),(28,1),(31,1),(55,1),(67,1),(91,1),(118,1)}
        17:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(32,1),(33,1),(71,1)}
        18:{1,3,7}:{(7,1),(10,1),(30,1),(33,1),(69,1),(101,1)}
        19:{3,4,6}:{(8,1),(9,1),(25,1),(34,1),(35,1),(64,1),(73,1)}
        20:{2,5}:{(9,1),(32,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(33,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(14,1),(37,1),(38,1),(39,1),(48,1),(74,1),(87,1),(108,1),(110,1)}
        23:{1,3,5}:{(11,1),(12,1),(16,1),(37,1),(39,1),(40,1)}
        24:{1,4,6}:{(11,1),(13,1),(38,1),(40,1),(41,1),(42,1),(81,1)}
        25:{3,6}:{(12,1),(13,1),(44,1)}
        26:{2,5,6}:{(13,1),(20,1),(41,1),(43,1),(45,1),(54,1),(129,1),(142,1)}
        27:{2,4,7}:{(13,1),(42,1),(44,1),(45,1),(82,1),(84,1)}
        28:{3}:{(14,1)}
        29:{2,4,6}:{(14,1),(15,1),(17,1),(47,1),(48,1),(49,1),(87,1),(89,1),(117,1)}
        30:{2,7}:{(15,1),(18,1)}
        31:{2,4}:{(16,1),(39,1),(46,1),(50,1),(86,1)}
        32:{1,5}:{(17,1),(20,1),(48,1)}
        33:{1,4,7}:{(17,1),(18,1),(21,1),(49,1),(51,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(44,1),(53,1),(84,1)}
        36:{2,5,7}:{(20,1),(21,1),(51,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(28,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(24,1),(57,1),(58,1),(59,1),(61,1),(98,1)}
        39:{2,5}:{(23,1),(31,1),(60,1),(61,1)}
        40:{1,3,6}:{(23,1),(24,1),(25,1),(57,1),(61,1),(62,1)}
        41:{1,5,6}:{(24,1),(26,1),(32,1),(58,1),(63,1),(71,1),(120,1),(138,1)}
        42:{1,4,7}:{(24,1),(27,1),(59,1),(62,1),(63,1),(101,1)}
        43:{3,5,6}:{(25,1),(26,1),(34,1),(64,1),(65,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        44:{3,7}:{(25,1),(27,1)}
        45:{2,5,7}:{(26,1),(27,1),(63,1),(65,1),(66,1)}
        46:{2,3}:{(28,1),(31,1),(67,1),(118,1)}
        47:{3,6}:{(28,1),(29,1),(68,1),(69,1)}
        48:{2,5}:{(29,1),(32,1),(68,1),(127,1)}
        49:{2,4,7}:{(29,1),(30,1),(33,1),(69,1),(70,1),(103,1)}
        50:{1,4}:{(31,1),(60,1),(67,1)}
        51:{1,5,7}:{(32,1),(33,1),(36,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(64,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(71,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(87,1)}
        56:{2,3,5}:{(37,1),(39,1),(46,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(48,1),(78,1),(80,1),(89,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(42,1),(79,1),(80,1),(82,1),(114,1)}
        60:{1,5}:{(39,1),(50,1),(81,1)}
        61:{2,6}:{(39,1),(40,1),(81,1),(82,1)}
        62:{1,3,7}:{(40,1),(42,1),(44,1),(79,1),(82,1)}
        63:{1,5,7}:{(41,1),(42,1),(45,1),(80,1),(83,1)}
        64:{4,6}:{(43,1),(52,1),(84,1),(140,1)}
        65:{3,5,7}:{(43,1),(44,1),(45,1),(84,1),(85,1),(116,1)}
        66:{2,6,7}:{(45,1),(54,1),(83,1),(85,1),(142,1)}
        67:{1,3}:{(46,1),(50,1),(86,1)}
        68:{3,5}:{(47,1),(48,1),(87,1)}
        69:{3,7}:{(47,1),(49,1)}
        70:{2,5,7}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        71:{1,6}:{(51,1),(54,1),(89,1)}
        72:{4,5,7}:{(52,1),(53,1),(84,1),(90,1),(116,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(67,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(61,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(68,1),(93,1),(98,1),(99,1),(104,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(63,1),(99,1),(100,1)}
        81:{1,6}:{(60,1),(61,1),(101,1)}
        82:{2,7}:{(61,1),(62,1),(101,1)}
        83:{1,6,7}:{(63,1),(66,1),(71,1),(100,1),(138,1)}
        84:{4,7}:{(64,1),(65,1)}
        85:{3,6,7}:{(65,1),(66,1),(73,1),(102,1),(144,1)}
        86:{2}:{(67,1)}
        87:{4}:{(68,1)}
        88:{3,5,7}:{(68,1),(69,1),(70,1),(103,1),(104,1),(127,1)}
        89:{2,6}:{(70,1),(71,1),(104,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(86,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(81,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(82,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(87,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(83,1),(89,1),(115,1),(132,1)}
       101:{1,7}:{(81,1),(82,1)}
       102:{4,6,7}:{(84,1),(85,1),(90,1),(116,1),(145,1)}
       103:{4,7}:{(87,1),(88,1),(117,1)}
       104:{3,6}:{(88,1),(89,1),(117,1)}
       105:{5,6}:{(90,1),(116,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(101,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(104,1),(124,1),(126,1)}
       116:{5,7}:{(102,1),(105,1),(146,1)}
       117:{4,6}:{(103,1),(104,1),(127,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{5}:{(117,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 111 :   0:{2,4,5,7}:{(1,1),(2,1),(3,1),(15,1),(19,1),(25,1),(63,1),(64,1),(66,1),(87,1),(97,1),(100,1),(117,1),(131,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(33,1),(37,1),(38,1),(67,1),(78,1),(83,1),(86,1),(106,1),(110,1),(112,1)}
         2:{3,5,7}:{(0,1),(7,1),(9,1),(40,1),(104,1),(111,1),(114,1),(125,1)}
         3:{2,4,6}:{(0,1),(6,1),(9,1),(11,1),(34,1),(44,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(15,1),(45,1),(51,1),(61,1),(89,1),(90,1),(92,1),(97,1),(100,1),(103,1),(124,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(55,1),(121,1),(122,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(16,1),(18,1),(56,1)}
         7:{3,4,7}:{(2,1),(19,1),(20,1),(66,1),(120,1),(131,1)}
         8:{2,3,5,7}:{(2,1),(15,1),(19,1),(21,1),(22,1),(52,1),(63,1),(95,1)}
         9:{3,6}:{(2,1),(3,1)}
        10:{2,4,6,7}:{(3,1),(17,1),(23,1),(25,1),(57,1),(66,1),(100,1)}
        11:{2,5,6}:{(3,1),(18,1),(24,1),(25,1),(63,1),(117,1)}
        12:{3,5,7}:{(4,1),(26,1),(28,1),(69,1),(84,1),(111,1),(114,1),(115,1)}
        13:{2,4,6}:{(4,1),(6,1),(28,1),(30,1),(34,1),(73,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(38,1),(67,1),(74,1),(83,1),(84,1),(104,1),(114,1),(127,1)}
        15:{2,5,7}:{(5,1),(31,1),(33,1),(34,1),(77,1),(128,1),(129,1)}
        16:{1,3,6}:{(5,1),(6,1),(9,1),(28,1),(34,1)}
        17:{1,4,6,7}:{(6,1),(10,1),(29,1),(35,1),(37,1),(79,1),(83,1),(112,1)}
        18:{1,5,6}:{(6,1),(11,1),(30,1),(37,1),(86,1),(106,1)}
        19:{2,4,7}:{(7,1),(8,1),(38,1),(39,1),(109,1)}
        20:{3,4,6}:{(7,1),(9,1),(39,1),(40,1),(44,1)}
        21:{1,3,5,7}:{(8,1),(33,1),(38,1),(41,1),(42,1),(74,1),(84,1),(86,1),(108,1),(115,1)}
        22:{2,3,6}:{(8,1),(9,1),(34,1),(39,1),(42,1)}
        23:{3,6,7}:{(9,1),(10,1),(43,1),(114,1)}
        24:{3,5,6}:{(9,1),(11,1),(40,1),(43,1),(44,1),(125,1)}
        25:{2,5,7}:{(10,1),(11,1),(37,1),(43,1)}
        26:{3,4,7}:{(12,1),(45,1),(46,1),(92,1),(120,1),(124,1)}
        27:{2,3,5,7}:{(12,1),(15,1),(45,1),(47,1),(48,1),(52,1),(89,1),(95,1)}
        28:{3,6}:{(12,1),(13,1)}
        29:{2,4,6,7}:{(13,1),(17,1),(49,1),(51,1),(57,1),(92,1),(100,1)}
        30:{2,5,6}:{(13,1),(18,1),(50,1),(51,1),(89,1),(103,1)}
        31:{2,4,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(93,1),(133,1)}
        32:{1,3,4,6}:{(14,1),(16,1),(20,1),(46,1),(54,1),(55,1),(60,1),(62,1),(88,1),(94,1),(101,1),(102,1),(116,1),(119,1),(120,1),(124,1),(131,1),(132,1)}
        33:{1,5,7}:{(15,1),(53,1),(56,1),(96,1),(134,1),(135,1)}
        34:{2,6}:{(15,1),(16,1),(56,1)}
        35:{1,3,6,7}:{(16,1),(17,1),(23,1),(49,1),(57,1),(59,1),(122,1)}
        36:{1,3,5,6}:{(16,1),(18,1),(24,1),(50,1),(55,1),(58,1),(59,1),(60,1),(101,1)}
        37:{1,5,7}:{(17,1),(18,1),(25,1),(51,1)}
        38:{1,4,7}:{(19,1),(21,1),(61,1),(62,1),(119,1),(124,1)}
        39:{2,4,6}:{(19,1),(20,1),(22,1),(62,1),(63,1)}
        40:{3,5}:{(20,1),(63,1),(64,1)}
        41:{2,5,7}:{(21,1),(61,1),(65,1),(93,1),(103,1),(118,1)}
        42:{1,3,6}:{(21,1),(22,1),(56,1),(62,1),(65,1),(102,1)}
        43:{3,5,7}:{(23,1),(24,1),(25,1),(66,1)}
        44:{4,6}:{(24,1),(64,1),(66,1),(131,1)}
        45:{2,4,7}:{(26,1),(27,1),(67,1),(68,1),(109,1)}
        46:{3,4,6}:{(26,1),(28,1),(68,1),(69,1),(73,1)}
        47:{1,3,5,7}:{(27,1),(33,1),(67,1),(70,1),(71,1),(74,1),(104,1),(106,1),(108,1),(125,1)}
        48:{2,3,6}:{(27,1),(28,1),(34,1),(68,1),(71,1)}
        49:{3,6,7}:{(28,1),(29,1),(72,1),(114,1)}
        50:{3,5,6}:{(28,1),(30,1),(69,1),(72,1),(73,1),(115,1)}
        51:{2,5,7}:{(29,1),(30,1),(37,1),(72,1)}
        52:{2,3,7}:{(31,1),(74,1),(75,1),(84,1),(104,1),(114,1),(129,1),(136,1)}
        53:{1,4,7}:{(31,1),(33,1),(74,1),(76,1),(137,1)}
        54:{2,4,6}:{(31,1),(32,1),(34,1),(75,1),(76,1),(77,1),(107,1),(109,1),(126,1)}
        55:{1,3,5}:{(32,1),(40,1),(69,1),(77,1),(78,1),(86,1),(106,1),(111,1),(115,1),(125,1)}
        56:{1,6}:{(33,1),(34,1)}
        57:{2,6,7}:{(34,1),(35,1),(79,1),(81,1),(129,1)}
        58:{2,5,6}:{(34,1),(36,1),(77,1),(80,1),(81,1),(82,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(37,1),(43,1),(72,1),(81,1),(83,1),(114,1)}
        60:{1,4,6}:{(36,1),(44,1),(73,1),(78,1),(82,1),(83,1),(130,1)}
        61:{2,4,7}:{(38,1),(41,1),(84,1),(85,1),(126,1)}
        62:{1,4,6}:{(38,1),(39,1),(42,1),(85,1),(86,1)}
        63:{2,5}:{(39,1),(40,1),(86,1)}
        64:{4,5}:{(40,1),(44,1)}
        65:{2,6}:{(41,1),(42,1)}
        66:{4,7}:{(43,1),(44,1)}
        67:{1,4,7}:{(45,1),(47,1),(87,1),(88,1),(119,1),(131,1)}
        68:{2,4,6}:{(45,1),(46,1),(48,1),(88,1),(89,1)}
        69:{3,5}:{(46,1),(89,1),(90,1)}
        70:{2,5,7}:{(47,1),(87,1),(91,1),(93,1),(117,1),(118,1)}
        71:{1,3,6}:{(47,1),(48,1),(56,1),(88,1),(91,1),(116,1)}
        72:{3,5,7}:{(49,1),(50,1),(51,1),(92,1)}
        73:{4,6}:{(50,1),(90,1),(92,1),(124,1)}
        74:{1,3,7}:{(52,1),(53,1),(93,1),(94,1),(135,1),(138,1)}
        75:{2,3,6}:{(52,1),(54,1),(94,1),(95,1),(101,1),(102,1),(116,1),(123,1),(132,1)}
        76:{1,4,6}:{(53,1),(54,1),(56,1),(94,1),(96,1),(119,1)}
        77:{2,5}:{(54,1),(55,1),(96,1)}
        78:{1,4,5}:{(55,1),(60,1),(64,1),(90,1),(97,1),(119,1),(124,1),(131,1),(134,1)}
        79:{1,6,7}:{(56,1),(57,1),(98,1),(135,1)}
        80:{1,5,6}:{(56,1),(58,1),(96,1),(98,1),(99,1)}
        81:{2,5,7}:{(57,1),(58,1),(59,1),(98,1),(100,1)}
        82:{2,4,6}:{(58,1),(60,1),(97,1),(99,1),(100,1),(101,1),(123,1)}
        83:{1,4,7}:{(59,1),(60,1),(66,1),(92,1),(100,1),(135,1)}
        84:{3,7}:{(61,1),(102,1),(132,1)}
        85:{2,4,6}:{(61,1),(62,1),(65,1),(102,1),(103,1),(124,1)}
        86:{1,5}:{(62,1),(63,1),(103,1)}
        87:{2,4,7}:{(67,1),(70,1),(104,1),(105,1),(126,1)}
        88:{1,4,6}:{(67,1),(68,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(68,1),(69,1),(106,1)}
        90:{4,5}:{(69,1),(73,1)}
        91:{2,6}:{(70,1),(71,1)}
        92:{4,7}:{(72,1),(73,1)}
        93:{2,7}:{(74,1),(107,1),(139,1)}
        94:{1,3,6}:{(74,1),(75,1),(76,1),(107,1),(108,1),(130,1)}
        95:{2,3,5}:{(75,1),(77,1),(108,1),(109,1),(111,1),(115,1),(125,1),(128,1),(136,1)}
        96:{1,5}:{(76,1),(77,1)}
        97:{2,4,5}:{(77,1),(78,1),(82,1),(109,1),(110,1),(111,1),(126,1),(128,1)}
        98:{1,5,7}:{(79,1),(80,1),(81,1),(112,1)}
        99:{1,4,6}:{(80,1),(82,1),(110,1),(112,1),(113,1)}
       100:{2,4,7}:{(81,1),(82,1),(83,1),(112,1),(114,1),(129,1)}
       101:{3,6}:{(82,1),(111,1),(114,1)}
       102:{3,6}:{(84,1),(85,1),(115,1)}
       103:{2,5}:{(85,1),(86,1),(115,1)}
       104:{3,7}:{(87,1),(116,1),(132,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(116,1),(117,1),(131,1)}
       106:{1,5}:{(88,1),(89,1),(117,1)}
       107:{2,6}:{(93,1),(94,1),(118,1)}
       108:{1,3,5}:{(94,1),(95,1),(96,1),(118,1),(119,1),(132,1),(134,1),(138,1)}
       109:{2,4}:{(95,1),(119,1),(120,1),(124,1),(131,1)}
       110:{1,4,5}:{(96,1),(97,1),(99,1),(119,1),(121,1)}
       111:{3,5}:{(97,1),(101,1),(120,1),(132,1)}
       112:{1,4,7}:{(98,1),(99,1),(100,1),(122,1)}
       113:{1,3,6}:{(99,1),(101,1),(121,1),(122,1),(123,1)}
       114:{3,7}:{(100,1),(101,1)}
       115:{3,5}:{(102,1),(103,1),(124,1)}
       116:{3,6}:{(104,1),(105,1),(125,1)}
       117:{2,5}:{(105,1),(106,1),(125,1)}
       118:{2,5}:{(107,1),(108,1),(126,1),(139,1)}
       119:{1,4}:{(108,1),(109,1),(126,1)}
       120:{3,4}:{(109,1),(111,1)}
       121:{1,3,5}:{(110,1),(111,1),(113,1),(127,1),(128,1)}
       122:{1,3,7}:{(112,1),(113,1),(114,1),(129,1)}
       123:{2,6}:{(113,1),(128,1),(129,1),(130,1)}
       124:{4}:{(115,1)}
       125:{3,5}:{(116,1),(117,1),(131,1)}
       126:{2,4}:{(118,1),(119,1),(132,1)}
       127:{1,3,4}:{(119,1),(120,1),(121,1),(132,1),(133,1),(138,1)}
       128:{2,5}:{(121,1),(123,1),(133,1),(134,1)}
       129:{2,7}:{(122,1),(123,1),(135,1)}
       130:{1,6}:{(123,1),(134,1),(135,1)}
       131:{4}:{(125,1)}
       132:{3}:{(126,1)}
       133:{2,4}:{(127,1),(128,1),(136,1),(137,1),(139,1)}
       134:{1,5}:{(128,1),(130,1),(137,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(132,1),(133,1),(138,1)}
       137:{1,4}:{(133,1),(134,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 112 :   0:{2,5,6}:{(2,1),(4,1),(5,1),(6,1),(69,1),(109,1),(124,1),(140,1)}
         1:{2,4,5}:{(3,1),(5,1),(7,1),(28,1),(29,1),(33,1),(69,1),(103,1),(124,1),(138,1)}
         2:{1,5,6}:{(0,1),(8,1),(10,1),(11,1),(89,1),(112,1),(122,1),(134,1)}
         3:{1,4,5}:{(1,1),(9,1),(10,1),(12,1),(47,1),(53,1),(83,1),(89,1),(112,1)}
         4:{3,5,6}:{(0,1),(13,1),(14,1),(16,1),(48,1),(91,1),(92,1),(132,1),(143,1),(146,1)}
         5:{2,4,6}:{(0,1),(1,1),(10,1),(13,1),(16,1),(17,1),(45,1)}
         6:{2,5,7}:{(0,1),(11,1),(14,1),(17,1),(18,1)}
         7:{3,5}:{(1,1),(15,1),(16,1),(118,1)}
         8:{2,5,6}:{(2,1),(20,1),(21,1),(22,1),(97,1),(107,1),(126,1),(131,1)}
         9:{2,4,5}:{(3,1),(21,1),(23,1),(28,1),(57,1),(61,1),(75,1),(97,1),(107,1),(129,1)}
        10:{1,4,6}:{(2,1),(3,1),(5,1),(21,1),(25,1),(26,1),(67,1)}
        11:{1,5,7}:{(2,1),(6,1),(22,1),(26,1),(27,1)}
        12:{1,3,5}:{(3,1),(7,1),(23,1),(24,1),(25,1),(28,1)}
        13:{4,6}:{(4,1),(29,1),(31,1),(138,1)}
        14:{3,5,7}:{(4,1),(6,1),(31,1),(32,1),(35,1),(74,1)}
        15:{3,4}:{(7,1),(33,1),(138,1)}
        16:{3,6}:{(5,1),(7,1),(35,1)}
        17:{2,4,7}:{(5,1),(6,1),(26,1),(31,1),(35,1),(68,1)}
        18:{2,6,7}:{(6,1),(27,1),(32,1),(109,1),(140,1)}
        19:{2,3,5}:{(7,1),(28,1),(33,1),(34,1),(36,1),(65,1),(69,1)}
        20:{3,5,6}:{(8,1),(37,1),(38,1),(40,1),(78,1),(114,1),(115,1),(120,1),(137,1),(144,1)}
        21:{2,4,6}:{(8,1),(9,1),(10,1),(37,1),(40,1),(41,1),(45,1)}
        22:{2,5,7}:{(8,1),(11,1),(38,1),(41,1),(42,1)}
        23:{3,5}:{(9,1),(39,1),(40,1),(95,1)}
        24:{1,3,4}:{(12,1),(15,1),(39,1),(44,1),(53,1),(83,1),(87,1),(95,1),(118,1)}
        25:{1,3,6}:{(10,1),(12,1),(16,1),(40,1),(45,1),(46,1)}
        26:{1,4,7}:{(10,1),(11,1),(17,1),(41,1),(46,1),(88,1)}
        27:{1,6,7}:{(11,1),(18,1),(42,1),(122,1),(134,1)}
        28:{2,5}:{(12,1),(44,1),(45,1),(47,1)}
        29:{4,5}:{(13,1),(48,1),(146,1)}
        30:{3,4,6}:{(13,1),(15,1),(16,1),(48,1),(50,1),(51,1),(91,1)}
        31:{4,7}:{(13,1),(14,1)}
        32:{3,6,7}:{(14,1),(18,1),(52,1),(91,1),(143,1)}
        33:{2,4}:{(15,1),(19,1),(53,1)}
        34:{2,3,6}:{(16,1),(19,1),(45,1),(50,1),(54,1),(55,1)}
        35:{3,7}:{(16,1),(17,1)}
        36:{1,3,5}:{(19,1),(47,1),(53,1),(54,1),(56,1),(87,1),(89,1),(95,1),(120,1)}
        37:{4,6}:{(20,1),(57,1),(59,1),(129,1)}
        38:{3,5,7}:{(20,1),(22,1),(59,1),(60,1),(63,1),(102,1)}
        39:{3,4}:{(23,1),(61,1),(129,1)}
        40:{3,6}:{(21,1),(23,1),(63,1)}
        41:{2,4,7}:{(21,1),(22,1),(26,1),(59,1),(63,1),(68,1)}
        42:{2,6,7}:{(22,1),(27,1),(60,1),(126,1),(131,1)}
        43:{2,3,5}:{(23,1),(28,1),(61,1),(62,1),(64,1),(65,1),(97,1)}
        44:{2,4}:{(24,1),(28,1),(65,1),(66,1),(106,1)}
        45:{2,6}:{(25,1),(28,1),(67,1),(68,1)}
        46:{1,3,7}:{(25,1),(26,1),(35,1),(63,1),(68,1)}
        47:{1,5}:{(28,1),(66,1),(67,1)}
        48:{3,5}:{(29,1),(30,1),(69,1)}
        49:{4,5,7}:{(29,1),(31,1),(70,1),(71,1),(74,1)}
        50:{2,4,6}:{(30,1),(33,1),(34,1),(69,1),(72,1),(73,1),(109,1)}
        51:{3,4,7}:{(30,1),(31,1),(35,1),(70,1),(73,1)}
        52:{4,6,7}:{(31,1),(32,1),(71,1),(74,1),(145,1)}
        53:{1,4}:{(33,1),(36,1),(75,1),(129,1)}
        54:{1,3,6}:{(34,1),(36,1),(67,1),(72,1),(76,1),(77,1),(110,1)}
        55:{2,3,7}:{(34,1),(35,1),(68,1),(73,1),(77,1)}
        56:{2,5}:{(36,1),(75,1),(76,1),(106,1)}
        57:{4,5}:{(37,1),(78,1),(144,1)}
        58:{3,4,6}:{(37,1),(39,1),(40,1),(78,1),(80,1),(81,1),(114,1)}
        59:{4,7}:{(37,1),(38,1)}
        60:{3,6,7}:{(38,1),(42,1),(82,1),(114,1),(137,1)}
        61:{2,4}:{(39,1),(43,1),(83,1)}
        62:{2,3,6}:{(40,1),(43,1),(45,1),(80,1),(84,1),(85,1)}
        63:{3,7}:{(40,1),(41,1)}
        64:{1,3,5}:{(43,1),(47,1),(83,1),(84,1),(86,1),(87,1),(112,1),(118,1),(132,1)}
        65:{2,3}:{(44,1),(87,1),(95,1),(118,1)}
        66:{1,4}:{(44,1),(47,1),(87,1)}
        67:{1,6}:{(45,1),(47,1),(88,1)}
        68:{2,7}:{(45,1),(46,1),(88,1)}
        69:{2,5}:{(48,1),(50,1),(89,1)}
        70:{3,5,7}:{(48,1),(49,1),(51,1),(90,1),(91,1)}
        71:{4,6}:{(49,1),(91,1),(92,1)}
        72:{1,4,6}:{(50,1),(53,1),(54,1),(89,1),(93,1),(94,1),(122,1)}
        73:{2,4,7}:{(50,1),(51,1),(55,1),(90,1),(94,1)}
        74:{5,7}:{(52,1),(92,1),(146,1)}
        75:{2,4}:{(53,1),(56,1),(95,1)}
        76:{2,6}:{(54,1),(56,1),(96,1)}
        77:{1,3,7}:{(54,1),(55,1),(88,1),(94,1),(96,1),(123,1)}
        78:{3,5}:{(57,1),(58,1),(97,1)}
        79:{4,5,7}:{(57,1),(59,1),(98,1),(99,1),(102,1)}
        80:{2,4,6}:{(58,1),(61,1),(62,1),(97,1),(100,1),(101,1),(126,1)}
        81:{3,4,7}:{(58,1),(59,1),(63,1),(98,1),(101,1)}
        82:{4,6,7}:{(59,1),(60,1),(99,1),(102,1),(141,1)}
        83:{1,4}:{(61,1),(64,1),(103,1),(138,1)}
        84:{1,3,6}:{(62,1),(64,1),(67,1),(100,1),(104,1),(105,1),(127,1)}
        85:{2,3,7}:{(62,1),(63,1),(68,1),(101,1),(105,1)}
        86:{2,5}:{(64,1),(103,1),(104,1),(106,1)}
        87:{1,3}:{(65,1),(66,1),(106,1)}
        88:{1,7}:{(67,1),(68,1)}
        89:{1,5}:{(69,1),(72,1),(107,1)}
        90:{2,5,7}:{(69,1),(70,1),(73,1),(108,1),(109,1)}
        91:{3,6}:{(70,1),(71,1),(109,1)}
        92:{5,6}:{(71,1),(74,1)}
        93:{2,4,6}:{(72,1),(75,1),(76,1),(107,1),(110,1),(111,1),(129,1),(131,1),(141,1)}
        94:{1,4,7}:{(72,1),(73,1),(77,1),(108,1),(111,1)}
        95:{3}:{(75,1)}
        96:{2,7}:{(76,1),(77,1)}
        97:{2,5}:{(78,1),(80,1),(112,1)}
        98:{3,5,7}:{(78,1),(79,1),(81,1),(113,1),(114,1)}
        99:{4,6}:{(79,1),(114,1),(115,1)}
       100:{1,4,6}:{(80,1),(83,1),(84,1),(112,1),(116,1),(117,1),(134,1)}
       101:{2,4,7}:{(80,1),(81,1),(85,1),(113,1),(117,1)}
       102:{5,7}:{(82,1),(115,1),(144,1)}
       103:{2,4}:{(83,1),(86,1),(118,1)}
       104:{2,6}:{(84,1),(86,1),(119,1)}
       105:{1,3,7}:{(84,1),(85,1),(88,1),(117,1),(119,1),(135,1)}
       106:{2}:{(87,1)}
       107:{2,5}:{(89,1),(93,1),(120,1),(144,1)}
       108:{1,5,7}:{(89,1),(90,1),(94,1),(121,1),(122,1)}
       109:{2,6}:{(90,1),(91,1),(122,1)}
       110:{3,6}:{(93,1),(95,1),(120,1),(123,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(121,1),(123,1),(136,1)}
       112:{1,5}:{(97,1),(100,1),(124,1)}
       113:{2,5,7}:{(97,1),(98,1),(101,1),(125,1),(126,1)}
       114:{3,6}:{(98,1),(99,1),(126,1)}
       115:{5,6}:{(99,1),(102,1)}
       116:{2,4,6}:{(100,1),(103,1),(104,1),(124,1),(127,1),(128,1),(138,1),(140,1),(145,1)}
       117:{1,4,7}:{(100,1),(101,1),(105,1),(125,1),(128,1)}
       118:{3}:{(103,1)}
       119:{2,7}:{(104,1),(105,1)}
       120:{3,5}:{(107,1),(110,1),(129,1)}
       121:{2,5,7}:{(107,1),(108,1),(111,1),(130,1),(131,1)}
       122:{1,6}:{(108,1),(109,1),(131,1)}
       123:{3,7}:{(110,1),(111,1)}
       124:{2,5}:{(112,1),(116,1),(132,1),(146,1)}
       125:{1,5,7}:{(112,1),(113,1),(117,1),(133,1),(134,1)}
       126:{2,6}:{(113,1),(114,1),(134,1)}
       127:{3,6}:{(116,1),(118,1),(132,1),(135,1)}
       128:{2,4,7}:{(116,1),(117,1),(119,1),(133,1),(135,1),(142,1)}
       129:{4}:{(120,1)}
       130:{3,5,7}:{(120,1),(121,1),(123,1),(136,1),(137,1),(144,1)}
       131:{2,6}:{(121,1),(122,1),(137,1)}
       132:{3,5}:{(124,1),(127,1),(138,1)}
       133:{2,5,7}:{(124,1),(125,1),(128,1),(139,1),(140,1)}
       134:{1,6}:{(125,1),(126,1),(140,1)}
       135:{3,7}:{(127,1),(128,1)}
       136:{4,7}:{(129,1),(130,1),(141,1)}
       137:{3,6}:{(130,1),(131,1),(141,1)}
       138:{4}:{(132,1)}
       139:{3,5,7}:{(132,1),(133,1),(135,1),(142,1),(143,1),(146,1)}
       140:{2,6}:{(133,1),(134,1),(143,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{4,7}:{(138,1),(139,1),(145,1)}
       143:{3,6}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 113 :   0:{2,4,6,7}:{(1,1),(2,1),(3,1),(12,1),(17,1),(18,1),(39,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(23,1),(26,1),(27,1),(54,1)}
         2:{3,6,7}:{(0,1),(7,1),(31,1),(56,1)}
         3:{2,5,7}:{(0,1),(6,1),(7,1),(8,1)}
         4:{2,4,6,7}:{(1,1),(10,1),(11,1),(12,1),(34,1),(35,1),(39,1)}
         5:{1,3,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(73,1)}
         6:{1,5,7}:{(1,1),(3,1),(11,1),(14,1)}
         7:{3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{2,5,6}:{(3,1),(14,1),(16,1),(18,1),(81,1),(125,1)}
         9:{2,4,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1),(39,1),(43,1),(44,1),(46,1),(74,1),(81,1),(103,1),(125,1),(136,1)}
        10:{3,6,7}:{(4,1),(20,1),(51,1),(56,1)}
        11:{2,5,7}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,6,7}:{(5,1),(23,1),(24,1),(60,1),(92,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(7,1),(20,1),(24,1),(25,1),(26,1),(56,1)}
        14:{1,5,6}:{(6,1),(8,1),(21,1),(27,1),(98,1),(115,1)}
        15:{1,4,5,7}:{(6,1),(9,1),(22,1),(26,1),(27,1),(28,1),(54,1),(57,1),(61,1),(64,1),(87,1),(90,1),(98,1),(115,1)}
        16:{3,5,6}:{(7,1),(8,1),(29,1),(31,1),(62,1),(132,1)}
        17:{4,7}:{(7,1),(29,1)}
        18:{2,4,6}:{(8,1),(9,1),(27,1),(29,1),(31,1),(60,1)}
        19:{3,5,7}:{(9,1),(30,1),(31,1),(56,1),(62,1),(93,1),(117,1),(132,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1)}
        21:{2,5,6}:{(11,1),(14,1),(33,1),(35,1),(101,1),(113,1)}
        22:{2,4,5,7}:{(11,1),(15,1),(34,1),(35,1),(36,1),(39,1),(43,1),(67,1),(69,1),(74,1),(83,1),(101,1),(113,1),(131,1)}
        23:{1,6,7}:{(12,1),(37,1),(80,1),(107,1)}
        24:{2,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(14,1),(16,1),(33,1),(38,1),(40,1),(42,1),(75,1),(77,1)}
        26:{1,4,7}:{(13,1),(17,1),(34,1),(39,1),(40,1),(107,1)}
        27:{1,4,6}:{(14,1),(15,1),(18,1),(35,1),(42,1),(80,1)}
        28:{1,3,5,7}:{(15,1),(19,1),(36,1),(41,1),(42,1),(43,1),(73,1),(77,1),(105,1)}
        29:{4,6}:{(16,1),(17,1),(44,1),(136,1)}
        30:{3,4,7}:{(17,1),(19,1),(45,1),(46,1),(108,1),(136,1)}
        31:{3,6}:{(18,1),(19,1)}
        32:{2,3,5,7}:{(19,1),(43,1),(46,1),(47,1),(48,1),(76,1),(81,1),(109,1)}
        33:{3,5,6}:{(20,1),(21,1),(49,1),(51,1),(85,1),(124,1)}
        34:{4,7}:{(20,1),(49,1)}
        35:{2,4,6}:{(21,1),(22,1),(27,1),(49,1),(51,1),(60,1)}
        36:{3,5,7}:{(22,1),(50,1),(51,1),(56,1),(85,1),(93,1),(100,1),(124,1)}
        37:{1,5,7}:{(23,1),(24,1),(53,1),(54,1)}
        38:{2,5,6}:{(24,1),(25,1),(53,1),(55,1),(60,1),(96,1)}
        39:{2,4,7}:{(24,1),(26,1),(54,1),(55,1),(56,1),(92,1)}
        40:{1,4,6}:{(25,1),(26,1),(29,1),(49,1),(55,1),(57,1),(120,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(30,1),(50,1),(56,1),(58,1),(59,1),(64,1),(87,1),(95,1),(100,1),(117,1),(118,1)}
        42:{1,3,6}:{(27,1),(28,1),(31,1),(51,1),(60,1)}
        43:{2,5,7}:{(28,1),(59,1),(60,1),(61,1),(92,1),(96,1),(119,1)}
        44:{4,5}:{(29,1),(62,1)}
        45:{3,4,6}:{(29,1),(30,1),(31,1),(62,1),(63,1)}
        46:{2,4,7}:{(30,1),(32,1),(63,1),(64,1),(121,1)}
        47:{2,3,6}:{(31,1),(32,1),(60,1),(63,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(61,1),(64,1),(65,1),(66,1),(95,1),(98,1),(100,1),(122,1),(124,1)}
        49:{4,6}:{(33,1),(34,1),(67,1),(131,1)}
        50:{3,4,7}:{(34,1),(36,1),(68,1),(69,1),(108,1),(131,1)}
        51:{3,6}:{(35,1),(36,1)}
        52:{2,3,5,7}:{(36,1),(43,1),(69,1),(70,1),(71,1),(76,1),(101,1),(109,1)}
        53:{1,5,6}:{(37,1),(38,1),(72,1),(80,1),(112,1)}
        54:{1,4,7}:{(37,1),(39,1),(72,1),(73,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(72,1),(74,1),(75,1),(106,1)}
        56:{3,7}:{(39,1),(75,1)}
        57:{1,4,5}:{(40,1),(44,1),(67,1),(74,1),(77,1),(128,1),(129,1),(131,1),(136,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(68,1),(75,1),(77,1),(78,1),(82,1),(102,1),(108,1),(110,1),(114,1),(126,1),(129,1),(131,1),(136,1),(138,1)}
        59:{2,4,7}:{(41,1),(43,1),(76,1),(78,1),(79,1),(111,1),(127,1)}
        60:{2,6}:{(42,1),(43,1),(80,1)}
        61:{1,5,7}:{(43,1),(79,1),(80,1),(107,1),(112,1),(128,1)}
        62:{3,5}:{(44,1),(45,1),(81,1)}
        63:{2,4,6}:{(45,1),(46,1),(47,1),(81,1),(82,1)}
        64:{1,4,7}:{(46,1),(48,1),(82,1),(83,1),(129,1),(131,1)}
        65:{1,3,6}:{(47,1),(48,1),(80,1),(82,1),(84,1),(114,1)}
        66:{2,5,7}:{(48,1),(83,1),(84,1),(111,1),(113,1),(130,1)}
        67:{4,5}:{(49,1),(85,1)}
        68:{3,4,6}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        69:{2,4,7}:{(50,1),(52,1),(86,1),(87,1),(121,1)}
        70:{2,3,6}:{(51,1),(52,1),(60,1),(86,1),(88,1)}
        71:{1,3,5,7}:{(52,1),(61,1),(87,1),(88,1),(89,1),(95,1),(115,1),(117,1),(122,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(55,1),(90,1),(91,1)}
        73:{1,3,7}:{(54,1),(56,1),(91,1),(92,1)}
        74:{2,4,5}:{(55,1),(57,1),(90,1),(93,1),(96,1),(119,1),(121,1),(135,1)}
        75:{3,6}:{(55,1),(56,1),(93,1)}
        76:{2,3,7}:{(56,1),(59,1),(92,1),(94,1),(95,1),(100,1),(117,1),(133,1)}
        77:{1,3,5}:{(57,1),(58,1),(62,1),(85,1),(93,1),(96,1),(98,1),(115,1),(124,1),(132,1)}
        78:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(96,1),(97,1),(121,1),(123,1),(135,1)}
        79:{1,4,7}:{(59,1),(61,1),(95,1),(97,1),(134,1)}
        80:{1,6}:{(60,1),(61,1)}
        81:{2,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(63,1),(64,1),(65,1),(98,1),(99,1)}
        83:{2,4,7}:{(64,1),(66,1),(99,1),(100,1),(135,1)}
        84:{2,6}:{(65,1),(66,1)}
        85:{3,5}:{(67,1),(68,1),(101,1)}
        86:{2,4,6}:{(68,1),(69,1),(70,1),(101,1),(102,1)}
        87:{1,4,7}:{(69,1),(71,1),(102,1),(103,1),(129,1),(136,1)}
        88:{1,3,6}:{(70,1),(71,1),(80,1),(102,1),(104,1),(126,1)}
        89:{2,5,7}:{(71,1),(103,1),(104,1),(111,1),(125,1),(130,1)}
        90:{1,4,5}:{(72,1),(74,1),(105,1),(112,1),(129,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(106,1)}
        92:{2,7}:{(73,1),(106,1),(107,1)}
        93:{3,5}:{(74,1),(75,1),(108,1),(138,1)}
        94:{2,3,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(110,1),(114,1),(126,1),(138,1)}
        95:{1,3,7}:{(76,1),(79,1),(107,1),(110,1),(111,1),(137,1)}
        96:{2,5}:{(77,1),(78,1),(112,1)}
        97:{1,4,6}:{(78,1),(79,1),(80,1),(110,1),(112,1),(129,1)}
        98:{1,5}:{(81,1),(82,1),(113,1)}
        99:{2,4,6}:{(82,1),(83,1),(84,1),(113,1),(114,1),(131,1)}
       100:{3,7}:{(83,1),(114,1),(138,1)}
       101:{2,5}:{(85,1),(86,1),(115,1)}
       102:{1,4,6}:{(86,1),(87,1),(88,1),(115,1),(116,1)}
       103:{2,4,7}:{(87,1),(89,1),(116,1),(117,1),(135,1)}
       104:{2,6}:{(88,1),(89,1)}
       105:{1,3,5}:{(90,1),(91,1),(93,1),(118,1),(119,1)}
       106:{2,6}:{(91,1),(92,1),(119,1),(120,1)}
       107:{1,7}:{(92,1),(120,1)}
       108:{3,4}:{(93,1),(121,1)}
       109:{2,3,5}:{(93,1),(94,1),(96,1),(119,1),(121,1),(122,1),(124,1),(132,1),(133,1)}
       110:{1,3,6}:{(94,1),(95,1),(97,1),(120,1),(122,1),(123,1)}
       111:{2,7}:{(95,1),(123,1),(139,1)}
       112:{1,5}:{(96,1),(97,1)}
       113:{2,5}:{(98,1),(99,1),(124,1)}
       114:{3,6}:{(99,1),(100,1),(124,1)}
       115:{1,5}:{(101,1),(102,1),(125,1)}
       116:{2,4,6}:{(102,1),(103,1),(104,1),(125,1),(126,1),(136,1)}
       117:{3,7}:{(103,1),(126,1),(138,1)}
       118:{1,3,4}:{(105,1),(108,1),(127,1),(129,1),(137,1),(138,1)}
       119:{2,5}:{(105,1),(106,1),(127,1),(128,1)}
       120:{1,6}:{(106,1),(107,1),(128,1)}
       121:{2,4}:{(108,1),(109,1),(129,1),(131,1),(136,1)}
       122:{1,3,5}:{(109,1),(110,1),(112,1),(128,1),(129,1),(130,1),(137,1),(138,1)}
       123:{2,6}:{(110,1),(111,1),(130,1)}
       124:{3,5}:{(113,1),(114,1),(131,1)}
       125:{2,5}:{(115,1),(116,1),(132,1)}
       126:{3,6}:{(116,1),(117,1),(132,1)}
       127:{2,4}:{(118,1),(119,1),(133,1),(134,1),(139,1)}
       128:{1,5}:{(119,1),(120,1),(134,1)}
       129:{1,4}:{(121,1),(122,1),(135,1)}
       130:{2,5}:{(122,1),(123,1),(135,1),(139,1)}
       131:{4}:{(124,1)}
       132:{3,5}:{(125,1),(126,1),(136,1)}
       133:{2,3}:{(127,1),(137,1),(138,1)}
       134:{1,4}:{(127,1),(128,1),(137,1)}
       135:{2,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(132,1)}
       137:{1,3}:{(133,1),(134,1),(139,1)}
       138:{3}:{(135,1)}
       139:{2}:{(137,1)}

 114 :   0:{2,6,7}:{(2,1),(4,1),(6,1),(101,1),(138,1)}
         1:{2,5,6}:{(3,1),(5,1),(6,1),(7,1),(63,1),(101,1),(123,1),(138,1)}
         2:{1,6,7}:{(0,1),(8,1),(10,1),(116,1),(131,1)}
         3:{1,5,6}:{(1,1),(9,1),(10,1),(11,1),(84,1),(109,1),(116,1),(131,1)}
         4:{3,6,7}:{(0,1),(12,1),(13,1),(82,1),(142,1)}
         5:{3,5,6}:{(1,1),(13,1),(14,1),(17,1),(41,1),(43,1),(82,1),(133,1),(142,1),(146,1)}
         6:{2,5,7}:{(0,1),(1,1),(10,1),(13,1),(16,1)}
         7:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(17,1),(40,1)}
         8:{2,6,7}:{(2,1),(18,1),(20,1),(121,1),(128,1)}
         9:{2,5,6}:{(3,1),(19,1),(20,1),(21,1),(92,1),(103,1),(121,1),(128,1)}
        10:{1,5,7}:{(2,1),(3,1),(6,1),(20,1),(23,1)}
        11:{1,4,6}:{(3,1),(7,1),(21,1),(22,1),(23,1),(24,1),(60,1)}
        12:{4,6,7}:{(4,1),(25,1),(27,1),(61,1),(145,1)}
        13:{3,5,7}:{(4,1),(5,1),(6,1),(25,1),(27,1),(30,1)}
        14:{4,6}:{(5,1),(26,1),(27,1),(140,1)}
        15:{2,4,5}:{(7,1),(22,1),(26,1),(29,1),(58,1),(63,1),(66,1),(123,1),(126,1),(140,1)}
        16:{2,4,7}:{(6,1),(7,1),(23,1),(27,1),(30,1),(59,1)}
        17:{3,6}:{(7,1),(29,1),(30,1)}
        18:{3,6,7}:{(8,1),(32,1),(33,1),(107,1),(136,1)}
        19:{3,5,6}:{(9,1),(33,1),(34,1),(37,1),(70,1),(72,1),(107,1),(118,1),(136,1),(144,1)}
        20:{2,5,7}:{(8,1),(9,1),(10,1),(33,1),(36,1)}
        21:{2,4,6}:{(9,1),(11,1),(34,1),(35,1),(36,1),(37,1),(40,1)}
        22:{1,4,5}:{(11,1),(15,1),(35,1),(38,1),(80,1),(84,1),(87,1),(109,1),(112,1)}
        23:{1,4,7}:{(10,1),(11,1),(16,1),(36,1),(39,1),(81,1)}
        24:{1,3,6}:{(11,1),(17,1),(37,1),(38,1),(39,1),(40,1)}
        25:{5,7}:{(12,1),(41,1),(146,1)}
        26:{4,5}:{(14,1),(43,1),(146,1)}
        27:{4,7}:{(13,1),(14,1)}
        28:{3,4,6}:{(14,1),(17,1),(43,1),(44,1),(45,1),(46,1),(82,1)}
        29:{3,5}:{(15,1),(17,1),(46,1),(135,1)}
        30:{3,7}:{(16,1),(17,1)}
        31:{2,3,6}:{(17,1),(40,1),(45,1),(47,1),(48,1),(49,1)}
        32:{4,6,7}:{(18,1),(50,1),(52,1),(90,1),(141,1)}
        33:{3,5,7}:{(18,1),(19,1),(20,1),(50,1),(52,1),(55,1)}
        34:{4,6}:{(19,1),(51,1),(52,1),(130,1)}
        35:{2,4,5}:{(21,1),(22,1),(51,1),(54,1),(58,1),(92,1),(95,1),(103,1),(106,1),(130,1)}
        36:{2,4,7}:{(20,1),(21,1),(23,1),(52,1),(55,1),(59,1)}
        37:{3,6}:{(21,1),(54,1),(55,1)}
        38:{1,3,5}:{(22,1),(24,1),(29,1),(54,1),(57,1),(58,1)}
        39:{1,3,7}:{(23,1),(24,1),(30,1),(55,1),(59,1)}
        40:{2,6}:{(24,1),(58,1),(59,1),(60,1)}
        41:{5,6}:{(25,1),(61,1)}
        42:{4,5,7}:{(25,1),(26,1),(27,1),(61,1),(62,1)}
        43:{3,5}:{(26,1),(28,1),(63,1)}
        44:{3,4,7}:{(27,1),(28,1),(30,1),(62,1),(64,1)}
        45:{2,4,6}:{(28,1),(31,1),(63,1),(64,1),(65,1),(66,1),(101,1)}
        46:{3,4}:{(29,1),(66,1),(140,1)}
        47:{2,3,5}:{(29,1),(31,1),(58,1),(63,1),(66,1),(67,1),(99,1)}
        48:{2,3,7}:{(30,1),(31,1),(59,1),(64,1),(68,1)}
        49:{1,3,6}:{(31,1),(60,1),(65,1),(67,1),(68,1),(69,1),(105,1)}
        50:{5,7}:{(32,1),(70,1),(144,1)}
        51:{4,5}:{(34,1),(72,1),(144,1)}
        52:{4,7}:{(33,1),(34,1)}
        53:{3,4,6}:{(34,1),(37,1),(72,1),(73,1),(74,1),(75,1),(107,1)}
        54:{3,5}:{(35,1),(37,1),(75,1),(120,1)}
        55:{3,7}:{(36,1),(37,1)}
        56:{2,3,6}:{(37,1),(40,1),(74,1),(76,1),(77,1),(78,1)}
        57:{1,3,4}:{(38,1),(46,1),(75,1),(79,1),(87,1),(112,1),(115,1),(120,1),(135,1)}
        58:{2,5}:{(38,1),(40,1),(79,1),(80,1)}
        59:{2,7}:{(39,1),(40,1),(81,1)}
        60:{1,6}:{(40,1),(80,1),(81,1)}
        61:{4,6}:{(41,1),(42,1),(82,1)}
        62:{3,5,7}:{(42,1),(43,1),(44,1),(82,1),(83,1)}
        63:{2,5}:{(43,1),(45,1),(84,1)}
        64:{2,4,7}:{(44,1),(45,1),(48,1),(83,1),(85,1)}
        65:{1,4,6}:{(45,1),(49,1),(84,1),(85,1),(86,1),(87,1),(116,1)}
        66:{2,4}:{(46,1),(47,1),(87,1)}
        67:{1,3,5}:{(47,1),(49,1),(80,1),(84,1),(87,1),(88,1),(115,1),(118,1),(120,1)}
        68:{1,3,7}:{(48,1),(49,1),(81,1),(85,1),(89,1),(119,1)}
        69:{2,6}:{(49,1),(88,1),(89,1)}
        70:{5,6}:{(50,1),(90,1)}
        71:{4,5,7}:{(50,1),(51,1),(52,1),(90,1),(91,1)}
        72:{3,5}:{(51,1),(53,1),(92,1)}
        73:{3,4,7}:{(52,1),(53,1),(55,1),(91,1),(93,1)}
        74:{2,4,6}:{(53,1),(56,1),(92,1),(93,1),(94,1),(95,1),(121,1)}
        75:{3,4}:{(54,1),(95,1),(130,1)}
        76:{2,3,5}:{(54,1),(56,1),(58,1),(92,1),(95,1),(96,1),(99,1)}
        77:{2,3,7}:{(55,1),(56,1),(59,1),(93,1),(97,1)}
        78:{1,3,6}:{(56,1),(60,1),(94,1),(96,1),(97,1),(98,1),(125,1)}
        79:{2,4}:{(57,1),(58,1),(99,1),(100,1),(127,1)}
        80:{1,5}:{(58,1),(60,1),(100,1)}
        81:{1,7}:{(59,1),(60,1)}
        82:{3,6}:{(61,1),(62,1),(101,1)}
        83:{2,5,7}:{(62,1),(63,1),(64,1),(101,1),(102,1)}
        84:{1,5}:{(63,1),(65,1),(103,1)}
        85:{1,4,7}:{(64,1),(65,1),(68,1),(102,1),(104,1)}
        86:{2,4,6}:{(65,1),(69,1),(103,1),(104,1),(105,1),(106,1),(128,1),(130,1),(141,1)}
        87:{1,4}:{(66,1),(67,1),(106,1),(130,1)}
        88:{2,5}:{(67,1),(69,1),(106,1),(127,1)}
        89:{2,7}:{(68,1),(69,1)}
        90:{4,6}:{(70,1),(71,1),(107,1)}
        91:{3,5,7}:{(71,1),(72,1),(73,1),(107,1),(108,1)}
        92:{2,5}:{(72,1),(74,1),(109,1)}
        93:{2,4,7}:{(73,1),(74,1),(77,1),(108,1),(110,1)}
        94:{1,4,6}:{(74,1),(78,1),(109,1),(110,1),(111,1),(112,1),(131,1)}
        95:{2,4}:{(75,1),(76,1),(112,1)}
        96:{1,3,5}:{(76,1),(78,1),(80,1),(109,1),(112,1),(113,1),(115,1),(133,1),(135,1)}
        97:{1,3,7}:{(77,1),(78,1),(81,1),(110,1),(114,1),(134,1)}
        98:{2,6}:{(78,1),(113,1),(114,1)}
        99:{2,3}:{(79,1),(115,1),(120,1),(135,1)}
       100:{1,4}:{(79,1),(80,1),(115,1)}
       101:{2,6}:{(82,1),(83,1),(116,1)}
       102:{1,5,7}:{(83,1),(84,1),(85,1),(116,1),(117,1)}
       103:{2,5}:{(84,1),(86,1),(118,1),(144,1)}
       104:{2,4,7}:{(85,1),(86,1),(89,1),(117,1),(119,1),(137,1)}
       105:{3,6}:{(86,1),(118,1),(119,1),(120,1)}
       106:{2,4}:{(87,1),(88,1),(120,1)}
       107:{3,6}:{(90,1),(91,1),(121,1)}
       108:{2,5,7}:{(91,1),(92,1),(93,1),(121,1),(122,1)}
       109:{1,5}:{(92,1),(94,1),(123,1)}
       110:{1,4,7}:{(93,1),(94,1),(97,1),(122,1),(124,1)}
       111:{2,4,6}:{(94,1),(98,1),(123,1),(124,1),(125,1),(126,1),(138,1),(140,1),(145,1)}
       112:{1,4}:{(95,1),(96,1),(126,1),(140,1)}
       113:{2,5}:{(96,1),(98,1),(126,1),(127,1)}
       114:{2,7}:{(97,1),(98,1)}
       115:{1,3}:{(99,1),(100,1),(127,1)}
       116:{1,6}:{(101,1),(102,1),(128,1)}
       117:{2,5,7}:{(102,1),(103,1),(104,1),(128,1),(129,1)}
       118:{3,5}:{(103,1),(105,1),(130,1)}
       119:{3,7}:{(104,1),(105,1)}
       120:{3}:{(106,1)}
       121:{2,6}:{(107,1),(108,1),(131,1)}
       122:{1,5,7}:{(108,1),(109,1),(110,1),(131,1),(132,1)}
       123:{2,5}:{(109,1),(111,1),(133,1),(146,1)}
       124:{2,4,7}:{(110,1),(111,1),(114,1),(132,1),(134,1),(143,1)}
       125:{3,6}:{(111,1),(133,1),(134,1),(135,1)}
       126:{2,4}:{(112,1),(113,1),(135,1)}
       127:{2}:{(115,1)}
       128:{2,6}:{(116,1),(117,1),(136,1)}
       129:{3,5,7}:{(117,1),(118,1),(119,1),(136,1),(137,1),(144,1)}
       130:{4}:{(118,1)}
       131:{1,6}:{(121,1),(122,1),(138,1)}
       132:{2,5,7}:{(122,1),(123,1),(124,1),(138,1),(139,1)}
       133:{3,5}:{(123,1),(125,1),(140,1)}
       134:{3,7}:{(124,1),(125,1)}
       135:{3}:{(126,1)}
       136:{3,6}:{(128,1),(129,1),(141,1)}
       137:{4,7}:{(129,1),(130,1),(141,1)}
       138:{2,6}:{(131,1),(132,1),(142,1)}
       139:{3,5,7}:{(132,1),(133,1),(134,1),(142,1),(143,1),(146,1)}
       140:{4}:{(133,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{3,6}:{(138,1),(139,1),(145,1)}
       143:{4,7}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 115 :   0:{2,4,5}:{(1,1),(2,1),(3,1),(15,1),(19,1),(60,1),(62,1),(89,1),(122,1),(138,1)}
         1:{1,4,5}:{(0,1),(4,1),(5,1),(6,1),(32,1),(36,1),(68,1),(82,1),(109,1)}
         2:{3,5}:{(0,1),(7,1),(9,1),(107,1)}
         3:{2,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(33,1),(43,1)}
         4:{2,4,5}:{(1,1),(12,1),(13,1),(15,1),(46,1),(58,1),(91,1),(93,1),(101,1),(128,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(16,1),(17,1),(18,1),(55,1)}
         7:{3,4}:{(2,1),(19,1),(138,1)}
         8:{2,3,5}:{(2,1),(15,1),(19,1),(21,1),(22,1),(53,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(24,1)}
        10:{2,5,6}:{(3,1),(17,1),(23,1),(25,1),(60,1),(104,1),(122,1),(140,1)}
        11:{2,4,7}:{(3,1),(18,1),(24,1),(25,1),(56,1),(66,1)}
        12:{3,5}:{(4,1),(26,1),(28,1),(80,1)}
        13:{2,4,6}:{(4,1),(6,1),(28,1),(29,1),(30,1),(33,1),(75,1)}
        14:{1,3,4}:{(5,1),(7,1),(26,1),(31,1),(36,1),(68,1),(78,1),(80,1),(107,1)}
        15:{2,5}:{(5,1),(31,1),(32,1),(33,1)}
        16:{1,3,6}:{(5,1),(6,1),(9,1),(28,1),(33,1),(34,1)}
        17:{1,5,6}:{(6,1),(10,1),(29,1),(35,1),(82,1),(109,1),(119,1),(134,1)}
        18:{1,4,7}:{(6,1),(11,1),(30,1),(34,1),(35,1),(79,1)}
        19:{2,4}:{(7,1),(8,1),(36,1)}
        20:{3,4,6}:{(7,1),(9,1),(37,1),(38,1),(39,1),(43,1),(86,1)}
        21:{1,3,5}:{(8,1),(32,1),(36,1),(40,1),(41,1),(78,1),(80,1),(82,1),(116,1)}
        22:{2,3,6}:{(8,1),(9,1),(33,1),(37,1),(41,1),(42,1)}
        23:{3,5,6}:{(9,1),(10,1),(38,1),(43,1),(44,1),(86,1),(120,1),(131,1),(143,1),(146,1)}
        24:{3,7}:{(9,1),(11,1)}
        25:{2,5,7}:{(10,1),(11,1),(35,1),(44,1),(45,1)}
        26:{3,4}:{(12,1),(46,1),(128,1)}
        27:{2,3,5}:{(12,1),(15,1),(46,1),(48,1),(49,1),(53,1),(91,1)}
        28:{3,6}:{(12,1),(13,1),(51,1)}
        29:{2,5,6}:{(13,1),(17,1),(50,1),(52,1),(91,1),(101,1),(125,1),(130,1)}
        30:{2,4,7}:{(13,1),(18,1),(51,1),(52,1),(56,1),(97,1)}
        31:{2,4}:{(14,1),(15,1),(53,1),(54,1),(99,1)}
        32:{1,5}:{(15,1),(54,1),(55,1)}
        33:{2,6}:{(15,1),(16,1),(55,1),(56,1)}
        34:{1,3,7}:{(16,1),(18,1),(24,1),(51,1),(56,1)}
        35:{1,5,7}:{(17,1),(18,1),(25,1),(52,1),(57,1)}
        36:{1,4}:{(19,1),(21,1),(58,1),(128,1)}
        37:{2,4,6}:{(19,1),(20,1),(22,1),(59,1),(60,1),(61,1),(104,1)}
        38:{3,5}:{(20,1),(60,1),(62,1)}
        39:{3,4,7}:{(20,1),(24,1),(61,1),(63,1),(66,1)}
        40:{2,5}:{(21,1),(58,1),(64,1),(99,1)}
        41:{1,3,6}:{(21,1),(22,1),(55,1),(59,1),(64,1),(65,1),(100,1)}
        42:{2,3,7}:{(22,1),(24,1),(56,1),(61,1),(65,1)}
        43:{4,6}:{(23,1),(62,1),(66,1),(138,1)}
        44:{3,5,7}:{(23,1),(24,1),(25,1),(66,1),(67,1),(106,1)}
        45:{2,6,7}:{(25,1),(57,1),(67,1),(104,1),(140,1)}
        46:{2,4}:{(26,1),(27,1),(68,1)}
        47:{3,4,6}:{(26,1),(28,1),(69,1),(70,1),(71,1),(75,1),(113,1)}
        48:{1,3,5}:{(27,1),(32,1),(68,1),(72,1),(73,1),(78,1),(107,1),(109,1),(131,1)}
        49:{2,3,6}:{(27,1),(28,1),(33,1),(69,1),(73,1),(74,1)}
        50:{3,5,6}:{(28,1),(29,1),(70,1),(75,1),(76,1),(113,1),(116,1),(135,1),(137,1),(144,1)}
        51:{3,7}:{(28,1),(30,1)}
        52:{2,5,7}:{(29,1),(30,1),(35,1),(76,1),(77,1)}
        53:{2,3}:{(31,1),(78,1),(80,1),(107,1)}
        54:{1,4}:{(31,1),(32,1),(78,1)}
        55:{1,6}:{(32,1),(33,1),(79,1)}
        56:{2,7}:{(33,1),(34,1),(79,1)}
        57:{1,6,7}:{(35,1),(45,1),(77,1),(119,1),(134,1)}
        58:{2,4}:{(36,1),(40,1),(80,1)}
        59:{1,4,6}:{(36,1),(37,1),(41,1),(81,1),(82,1),(83,1),(119,1)}
        60:{2,5}:{(37,1),(38,1),(82,1)}
        61:{2,4,7}:{(37,1),(39,1),(42,1),(83,1),(84,1)}
        62:{4,5}:{(38,1),(43,1),(146,1)}
        63:{3,5,7}:{(38,1),(39,1),(84,1),(85,1),(86,1)}
        64:{2,6}:{(40,1),(41,1),(87,1)}
        65:{1,3,7}:{(41,1),(42,1),(79,1),(83,1),(87,1),(117,1)}
        66:{4,7}:{(43,1),(44,1)}
        67:{3,6,7}:{(44,1),(45,1),(86,1),(88,1),(143,1)}
        68:{1,4}:{(46,1),(48,1),(89,1),(138,1)}
        69:{2,4,6}:{(46,1),(47,1),(49,1),(90,1),(91,1),(92,1),(125,1)}
        70:{3,5}:{(47,1),(91,1),(93,1)}
        71:{3,4,7}:{(47,1),(51,1),(92,1),(94,1),(97,1)}
        72:{2,5}:{(48,1),(89,1),(95,1),(99,1)}
        73:{1,3,6}:{(48,1),(49,1),(55,1),(90,1),(95,1),(96,1),(121,1)}
        74:{2,3,7}:{(49,1),(51,1),(56,1),(92,1),(96,1)}
        75:{4,6}:{(50,1),(93,1),(97,1),(128,1)}
        76:{3,5,7}:{(50,1),(51,1),(52,1),(97,1),(98,1),(127,1)}
        77:{2,6,7}:{(52,1),(57,1),(98,1),(125,1),(130,1)}
        78:{1,3}:{(53,1),(54,1),(99,1)}
        79:{1,7}:{(55,1),(56,1)}
        80:{3}:{(58,1)}
        81:{2,4,6}:{(58,1),(59,1),(64,1),(100,1),(101,1),(102,1),(128,1),(130,1),(141,1)}
        82:{1,5}:{(59,1),(60,1),(101,1)}
        83:{1,4,7}:{(59,1),(61,1),(65,1),(102,1),(103,1)}
        84:{2,5,7}:{(60,1),(61,1),(63,1),(103,1),(104,1)}
        85:{4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        86:{3,6}:{(63,1),(104,1),(105,1)}
        87:{2,7}:{(64,1),(65,1)}
        88:{4,6,7}:{(66,1),(67,1),(105,1),(106,1),(145,1)}
        89:{2,4}:{(68,1),(72,1),(107,1)}
        90:{1,4,6}:{(68,1),(69,1),(73,1),(108,1),(109,1),(110,1),(134,1)}
        91:{2,5}:{(69,1),(70,1),(109,1)}
        92:{2,4,7}:{(69,1),(71,1),(74,1),(110,1),(111,1)}
        93:{4,5}:{(70,1),(75,1),(144,1)}
        94:{3,5,7}:{(70,1),(71,1),(111,1),(112,1),(113,1)}
        95:{2,6}:{(72,1),(73,1),(114,1)}
        96:{1,3,7}:{(73,1),(74,1),(79,1),(110,1),(114,1),(132,1)}
        97:{4,7}:{(75,1),(76,1)}
        98:{3,6,7}:{(76,1),(77,1),(113,1),(115,1),(137,1)}
        99:{2}:{(78,1)}
       100:{3,6}:{(80,1),(81,1),(116,1),(117,1)}
       101:{2,5}:{(81,1),(82,1),(116,1),(144,1)}
       102:{2,4,7}:{(81,1),(83,1),(87,1),(117,1),(118,1),(136,1)}
       103:{1,5,7}:{(82,1),(83,1),(84,1),(118,1),(119,1)}
       104:{2,6}:{(84,1),(86,1),(119,1)}
       105:{4,6}:{(85,1),(86,1),(120,1)}
       106:{5,7}:{(88,1),(120,1),(146,1)}
       107:{3}:{(89,1)}
       108:{2,4,6}:{(89,1),(90,1),(95,1),(121,1),(122,1),(123,1),(138,1),(140,1),(145,1)}
       109:{1,5}:{(90,1),(91,1),(122,1)}
       110:{1,4,7}:{(90,1),(92,1),(96,1),(123,1),(124,1)}
       111:{2,5,7}:{(91,1),(92,1),(94,1),(124,1),(125,1)}
       112:{4,5,7}:{(93,1),(94,1),(97,1),(126,1),(127,1)}
       113:{3,6}:{(94,1),(125,1),(126,1)}
       114:{2,7}:{(95,1),(96,1)}
       115:{4,6,7}:{(97,1),(98,1),(126,1),(127,1),(141,1)}
       116:{3,5}:{(100,1),(101,1),(128,1)}
       117:{3,7}:{(100,1),(102,1)}
       118:{2,5,7}:{(101,1),(102,1),(103,1),(129,1),(130,1)}
       119:{1,6}:{(103,1),(104,1),(130,1)}
       120:{5,6}:{(105,1),(106,1)}
       121:{3,6}:{(107,1),(108,1),(131,1),(132,1)}
       122:{2,5}:{(108,1),(109,1),(131,1),(146,1)}
       123:{2,4,7}:{(108,1),(110,1),(114,1),(132,1),(133,1),(142,1)}
       124:{1,5,7}:{(109,1),(110,1),(111,1),(133,1),(134,1)}
       125:{2,6}:{(111,1),(113,1),(134,1)}
       126:{4,6}:{(112,1),(113,1),(135,1)}
       127:{5,7}:{(115,1),(135,1),(144,1)}
       128:{4}:{(116,1)}
       129:{3,5,7}:{(116,1),(117,1),(118,1),(136,1),(137,1),(144,1)}
       130:{2,6}:{(118,1),(119,1),(137,1)}
       131:{3,5}:{(121,1),(122,1),(138,1)}
       132:{3,7}:{(121,1),(123,1)}
       133:{2,5,7}:{(122,1),(123,1),(124,1),(139,1),(140,1)}
       134:{1,6}:{(124,1),(125,1),(140,1)}
       135:{5,6}:{(126,1),(127,1)}
       136:{4,7}:{(128,1),(129,1),(141,1)}
       137:{3,6}:{(129,1),(130,1),(141,1)}
       138:{4}:{(131,1)}
       139:{3,5,7}:{(131,1),(132,1),(133,1),(142,1),(143,1),(146,1)}
       140:{2,6}:{(133,1),(134,1),(143,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{4,7}:{(138,1),(139,1),(145,1)}
       143:{3,6}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 116 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(19,1),(21,1),(37,1),(38,1)}
        1:{1,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(28,1),(29,1),(41,1)}
        2:{3,6}:{(0,1),(9,1),(10,1),(42,1)}
        3:{2,5}:{(0,1),(7,1),(9,1),(43,1)}
        4:{2,4,7}:{(0,1),(8,1),(10,1),(11,1),(27,1),(30,1)}
        5:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(32,1),(34,1),(37,1),(44,1)}
        6:{1,3,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(45,1)}
        7:{1,5}:{(1,1),(3,1),(13,1)}
        8:{1,4,7}:{(1,1),(4,1),(14,1),(17,1),(18,1),(36,1)}
        9:{3,5}:{(2,1),(3,1),(19,1)}
       10:{3,7}:{(2,1),(4,1)}
       11:{2,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1)}
       12:{3,6}:{(5,1),(22,1),(23,1),(42,1)}
       13:{2,5}:{(5,1),(7,1),(22,1),(46,1)}
       14:{2,4,7}:{(5,1),(8,1),(23,1),(24,1),(27,1),(39,1)}
       15:{2,6}:{(6,1),(25,1),(26,1),(27,1),(47,1)}
       16:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(42,1)}
       17:{1,3,7}:{(6,1),(8,1),(10,1),(23,1),(27,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(24,1),(29,1)}
       19:{4}:{(9,1)}
       20:{3,5,7}:{(9,1),(10,1),(11,1),(30,1),(31,1),(43,1)}
       21:{2,6}:{(11,1),(29,1),(31,1)}
       22:{3,5}:{(12,1),(13,1),(32,1)}
       23:{3,7}:{(12,1),(14,1)}
       24:{2,5,7}:{(13,1),(14,1),(18,1),(33,1),(34,1)}
       25:{1,6}:{(15,1),(35,1),(36,1),(48,1)}
       26:{2,5}:{(15,1),(16,1),(35,1),(37,1)}
       27:{2,7}:{(15,1),(17,1),(36,1)}
       28:{1,4}:{(16,1),(19,1),(32,1),(37,1),(48,1)}
       29:{1,6}:{(18,1),(21,1),(34,1)}
       30:{4,7}:{(19,1),(20,1),(38,1)}
       31:{3,6}:{(20,1),(21,1),(38,1)}
       32:{4}:{(22,1)}
       33:{3,5,7}:{(22,1),(23,1),(24,1),(39,1),(40,1),(46,1)}
       34:{2,6}:{(24,1),(29,1),(40,1)}
       35:{1,5}:{(25,1),(26,1),(41,1)}
       36:{1,7}:{(25,1),(27,1)}
       37:{2,4}:{(26,1),(28,1),(41,1),(42,1),(47,1)}
       38:{4,6}:{(30,1),(31,1),(43,1)}
       39:{4,7}:{(32,1),(33,1),(44,1)}
       40:{3,6}:{(33,1),(34,1),(44,1)}
       41:{1,4}:{(35,1),(37,1),(45,1)}
       42:{3}:{(37,1)}
       43:{5}:{(38,1)}
       44:{4,6}:{(39,1),(40,1),(46,1)}
       45:{1,3}:{(41,1),(42,1),(47,1)}
       46:{5}:{(44,1)}
       47:{2}:{(45,1),(48,1)}
       48:{1}:{(47,1)}

 117 :   0:{4,5,7}:{(2,1),(3,1),(20,1),(24,1),(47,1)}
         1:{3,4,7}:{(2,1),(4,1),(5,1),(47,1),(75,1)}
         2:{3,5,7}:{(0,1),(1,1),(7,1),(8,1),(13,1)}
         3:{4,6}:{(0,1),(8,1),(10,1)}
         4:{2,4,7}:{(1,1),(6,1),(7,1),(11,1),(12,1)}
         5:{3,4,6}:{(1,1),(8,1),(12,1),(13,1),(33,1),(54,1),(62,1)}
         6:{2,3,7}:{(4,1),(14,1),(15,1),(75,1),(100,1)}
         7:{2,5,7}:{(2,1),(4,1),(16,1),(17,1),(23,1)}
         8:{3,6}:{(2,1),(3,1),(17,1)}
         9:{4,6,7}:{(3,1),(18,1),(20,1),(47,1),(145,1)}
        10:{5,6}:{(3,1),(20,1)}
        11:{1,4,7}:{(4,1),(14,1),(16,1),(21,1),(22,1)}
        12:{2,4,6}:{(4,1),(5,1),(15,1),(17,1),(22,1),(23,1),(40,1)}
        13:{3,5}:{(5,1),(23,1),(24,1)}
        14:{1,3,7}:{(6,1),(11,1),(25,1),(26,1),(34,1),(112,1)}
        15:{2,3,6}:{(6,1),(12,1),(26,1),(27,1),(62,1),(88,1)}
        16:{1,5,7}:{(7,1),(11,1),(28,1),(29,1),(36,1)}
        17:{2,6}:{(7,1),(8,1),(29,1)}
        18:{3,6,7}:{(8,1),(9,1),(30,1),(32,1),(143,1)}
        19:{3,5,6}:{(8,1),(10,1),(13,1),(31,1),(32,1),(33,1),(62,1),(138,1),(143,1),(146,1)}
        20:{5,7}:{(9,1),(10,1),(146,1)}
        21:{2,4,7}:{(11,1),(25,1),(28,1),(34,1),(35,1),(55,1)}
        22:{1,4,6}:{(11,1),(12,1),(26,1),(29,1),(35,1),(36,1),(53,1)}
        23:{2,5}:{(12,1),(13,1),(36,1)}
        24:{4,5}:{(13,1),(33,1),(146,1)}
        25:{2,7}:{(14,1),(38,1)}
        26:{1,3,6}:{(14,1),(15,1),(22,1),(38,1),(39,1),(48,1),(101,1)}
        27:{2,3,5}:{(15,1),(23,1),(39,1),(40,1),(51,1),(78,1),(92,1)}
        28:{2,5,7}:{(16,1),(21,1),(41,1),(42,1),(49,1)}
        29:{1,6}:{(16,1),(17,1),(42,1)}
        30:{2,6,7}:{(17,1),(18,1),(43,1),(45,1),(140,1)}
        31:{2,5,6}:{(17,1),(19,1),(23,1),(44,1),(45,1),(46,1),(133,1),(140,1)}
        32:{3,5,7}:{(18,1),(19,1),(20,1),(45,1),(47,1),(75,1)}
        33:{4,6}:{(19,1),(24,1),(47,1),(142,1)}
        34:{3,7}:{(21,1),(48,1)}
        35:{2,4,6}:{(21,1),(22,1),(38,1),(42,1),(48,1),(49,1),(66,1),(68,1),(76,1)}
        36:{1,5}:{(22,1),(23,1),(49,1)}
        37:{2,4,5}:{(23,1),(24,1),(40,1),(46,1),(50,1),(51,1),(78,1),(123,1),(133,1),(142,1)}
        38:{2,6}:{(25,1),(26,1),(52,1)}
        39:{1,3,5}:{(26,1),(27,1),(36,1),(52,1),(53,1),(63,1),(79,1),(91,1),(104,1)}
        40:{2,4}:{(27,1),(53,1),(54,1)}
        41:{3,5,7}:{(28,1),(34,1),(55,1),(56,1),(63,1),(82,1)}
        42:{2,6}:{(28,1),(29,1),(56,1)}
        43:{1,6,7}:{(29,1),(30,1),(57,1),(59,1),(136,1)}
        44:{1,5,6}:{(29,1),(31,1),(36,1),(58,1),(59,1),(60,1),(126,1),(136,1)}
        45:{2,5,7}:{(30,1),(31,1),(32,1),(59,1),(61,1)}
        46:{2,4,6}:{(31,1),(33,1),(37,1),(60,1),(61,1),(62,1),(88,1)}
        47:{4,7}:{(32,1),(33,1)}
        48:{3,6}:{(34,1),(35,1),(63,1),(79,1)}
        49:{2,5}:{(35,1),(36,1),(63,1),(82,1)}
        50:{1,4,5}:{(36,1),(37,1),(53,1),(60,1),(64,1),(65,1),(91,1),(113,1),(126,1)}
        51:{3,5}:{(37,1),(54,1),(62,1),(130,1)}
        52:{2,5}:{(38,1),(39,1),(66,1),(115,1)}
        53:{1,4}:{(39,1),(40,1),(66,1),(76,1)}
        54:{3,4}:{(40,1),(51,1),(142,1)}
        55:{4,7}:{(41,1),(68,1),(76,1)}
        56:{3,6}:{(41,1),(42,1),(68,1)}
        57:{2,6,7}:{(42,1),(43,1),(69,1),(71,1),(131,1)}
        58:{2,5,6}:{(42,1),(44,1),(49,1),(70,1),(71,1),(72,1),(118,1),(131,1)}
        59:{1,5,7}:{(43,1),(44,1),(45,1),(71,1),(73,1)}
        60:{1,4,6}:{(44,1),(46,1),(50,1),(72,1),(73,1),(74,1),(101,1)}
        61:{2,4,7}:{(45,1),(46,1),(47,1),(73,1),(75,1),(100,1)}
        62:{3,6}:{(46,1),(51,1),(75,1)}
        63:{3,5}:{(48,1),(49,1),(76,1)}
        64:{2,4,5}:{(49,1),(50,1),(66,1),(72,1),(76,1),(77,1),(78,1),(95,1),(102,1),(118,1)}
        65:{1,3,5}:{(50,1),(51,1),(67,1),(74,1),(77,1),(78,1)}
        66:{2,4}:{(52,1),(53,1),(79,1)}
        67:{1,3,4}:{(53,1),(54,1),(65,1),(79,1),(80,1),(89,1),(104,1),(113,1),(130,1)}
        68:{4,6}:{(55,1),(56,1),(82,1)}
        69:{3,6,7}:{(56,1),(57,1),(81,1),(83,1),(124,1)}
        70:{3,5,6}:{(56,1),(58,1),(63,1),(82,1),(83,1),(84,1),(86,1),(105,1),(107,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(59,1),(83,1),(85,1)}
        72:{2,4,6}:{(58,1),(60,1),(64,1),(84,1),(85,1),(86,1),(88,1)}
        73:{1,4,7}:{(59,1),(60,1),(61,1),(85,1),(87,1),(112,1)}
        74:{1,3,6}:{(60,1),(62,1),(65,1),(86,1),(87,1),(88,1)}
        75:{3,7}:{(61,1),(62,1)}
        76:{4}:{(63,1)}
        77:{3,5}:{(64,1),(79,1),(86,1),(89,1)}
        78:{2,5}:{(65,1),(80,1),(88,1),(91,1)}
        79:{3}:{(66,1)}
        80:{2,4}:{(67,1),(78,1),(92,1),(93,1),(115,1)}
        81:{4,6,7}:{(68,1),(69,1),(94,1),(96,1),(116,1)}
        82:{5}:{(68,1)}
        83:{3,5,7}:{(69,1),(70,1),(71,1),(94,1),(96,1),(98,1)}
        84:{4,6}:{(70,1),(76,1),(95,1),(96,1)}
        85:{2,4,7}:{(71,1),(72,1),(73,1),(96,1),(98,1),(100,1)}
        86:{3,6}:{(72,1),(77,1),(98,1)}
        87:{1,3,7}:{(73,1),(74,1),(75,1),(98,1),(100,1)}
        88:{2,6}:{(74,1),(78,1),(100,1),(101,1)}
        89:{3,4}:{(76,1),(77,1),(102,1)}
        90:{2,3,5}:{(77,1),(78,1),(92,1),(99,1),(102,1),(103,1),(118,1)}
        91:{1,5}:{(78,1),(93,1),(101,1)}
        92:{2,3}:{(79,1),(80,1),(104,1),(130,1)}
        93:{1,4}:{(80,1),(91,1),(104,1)}
        94:{5,7}:{(81,1),(82,1),(105,1)}
        95:{4,5}:{(82,1),(84,1),(107,1)}
        96:{4,7}:{(83,1),(84,1)}
        97:{3,4,6}:{(84,1),(86,1),(89,1),(107,1),(108,1),(109,1),(124,1)}
        98:{3,7}:{(85,1),(86,1)}
        99:{2,3,6}:{(86,1),(88,1),(90,1),(109,1),(110,1),(111,1)}
       100:{2,7}:{(87,1),(88,1),(112,1)}
       101:{1,6}:{(88,1),(91,1),(112,1)}
       102:{2,4}:{(89,1),(90,1),(113,1)}
       103:{1,3,5}:{(90,1),(91,1),(104,1),(111,1),(113,1),(114,1),(126,1),(130,1),(138,1)}
       104:{1,3}:{(92,1),(93,1),(115,1)}
       105:{5,6}:{(94,1),(116,1)}
       106:{4,5,7}:{(94,1),(95,1),(96,1),(116,1),(117,1)}
       107:{3,5}:{(95,1),(97,1),(118,1)}
       108:{3,4,7}:{(96,1),(97,1),(98,1),(117,1),(119,1)}
       109:{2,4,6}:{(97,1),(99,1),(102,1),(118,1),(119,1),(120,1),(131,1)}
       110:{2,3,7}:{(98,1),(99,1),(100,1),(119,1),(121,1)}
       111:{1,3,6}:{(99,1),(101,1),(103,1),(120,1),(121,1),(122,1),(135,1)}
       112:{1,7}:{(100,1),(101,1)}
       113:{1,4}:{(102,1),(103,1),(123,1),(142,1)}
       114:{2,5}:{(103,1),(115,1),(122,1),(123,1)}
       115:{2}:{(104,1)}
       116:{4,6}:{(105,1),(106,1),(124,1)}
       117:{3,5,7}:{(106,1),(107,1),(108,1),(124,1),(125,1)}
       118:{2,5}:{(107,1),(109,1),(126,1)}
       119:{2,4,7}:{(108,1),(109,1),(110,1),(125,1),(127,1)}
       120:{1,4,6}:{(109,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(110,1),(111,1),(112,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(111,1),(114,1),(129,1)}
       123:{2,4}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 118 :  0:{5,6}:{(3,1),(4,1)}
        1:{4,5}:{(3,1),(5,1)}
        2:{3,4}:{(5,1),(6,1)}
        3:{4,6}:{(0,1),(1,1),(8,1),(9,1)}
        4:{5,7}:{(0,1),(9,1),(10,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(11,1)}
        6:{2,4}:{(2,1),(7,1),(11,1),(12,1)}
        7:{2,3}:{(6,1),(13,1)}
        8:{3,6}:{(3,1),(5,1),(14,1),(15,1)}
        9:{4,7}:{(3,1),(4,1),(15,1)}
       10:{6,7}:{(4,1)}
       11:{2,5}:{(5,1),(6,1),(14,1),(16,1)}
       12:{1,4}:{(6,1),(13,1),(16,1),(17,1)}
       13:{1,3}:{(7,1),(12,1),(18,1),(22,1)}
       14:{2,6}:{(8,1),(11,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(9,1),(20,1)}
       16:{1,5}:{(11,1),(12,1),(19,1),(21,1)}
       17:{2,4}:{(12,1),(18,1),(21,1),(22,1),(28,1)}
       18:{2}:{(13,1)}
       19:{1,6}:{(14,1),(16,1),(23,1),(24,1)}
       20:{2,7}:{(14,1),(15,1),(24,1)}
       21:{2,5}:{(16,1),(17,1),(23,1),(25,1)}
       22:{3}:{(17,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 119 :   0:{3,4,6}:{(1,1),(2,1),(3,1),(15,1),(23,1),(44,1),(48,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(27,1),(39,1)}
         2:{3,5}:{(0,1),(7,1),(9,1)}
         3:{3,4,7}:{(0,1),(8,1),(10,1),(31,1),(67,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(81,1)}
         5:{3,5,6}:{(2,1),(14,1),(15,1),(16,1),(23,1),(48,1),(58,1),(136,1),(144,1),(146,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(19,1),(43,1),(57,1)}
         7:{2,5}:{(1,1),(2,1),(18,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(19,1),(21,1)}
         9:{4,5}:{(2,1),(15,1),(146,1)}
        10:{3,5,7}:{(2,1),(3,1),(21,1),(22,1),(23,1)}
        11:{1,3,6}:{(4,1),(6,1),(24,1),(25,1),(26,1),(33,1),(96,1)}
        12:{2,3,5}:{(4,1),(7,1),(25,1),(27,1),(38,1),(73,1),(88,1)}
        13:{2,3,7}:{(4,1),(8,1),(26,1),(67,1),(97,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(39,1),(131,1),(142,1)}
        15:{4,6}:{(5,1),(9,1),(31,1),(140,1)}
        16:{3,5,7}:{(5,1),(30,1),(31,1),(32,1),(67,1),(68,1)}
        17:{2,4,6}:{(6,1),(24,1),(33,1),(34,1),(35,1),(59,1),(69,1),(72,1),(99,1)}
        18:{1,5}:{(6,1),(7,1),(34,1)}
        19:{1,4,7}:{(6,1),(8,1),(26,1),(35,1),(37,1)}
        20:{2,4,5}:{(7,1),(9,1),(27,1),(29,1),(36,1),(38,1),(73,1),(122,1),(131,1),(140,1)}
        21:{2,5,7}:{(7,1),(8,1),(10,1),(37,1),(39,1)}
        22:{4,5,7}:{(9,1),(10,1),(31,1),(40,1),(68,1)}
        23:{3,6}:{(10,1),(39,1),(40,1)}
        24:{2,6}:{(11,1),(41,1),(42,1)}
        25:{1,3,5}:{(11,1),(12,1),(18,1),(41,1),(43,1),(52,1),(74,1),(87,1),(101,1)}
        26:{1,3,7}:{(11,1),(13,1),(19,1),(42,1),(53,1),(109,1)}
        27:{2,4}:{(12,1),(43,1),(44,1)}
        28:{1,5,6}:{(14,1),(18,1),(45,1),(46,1),(47,1),(57,1),(123,1),(138,1)}
        29:{2,4,6}:{(14,1),(15,1),(20,1),(46,1),(48,1),(49,1),(81,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{4,7}:{(15,1),(16,1)}
        32:{3,6,7}:{(16,1),(23,1),(50,1),(51,1),(144,1)}
        33:{3,6}:{(17,1),(52,1),(53,1),(74,1)}
        34:{2,5}:{(17,1),(18,1),(52,1),(111,1)}
        35:{2,4,7}:{(17,1),(19,1),(42,1),(53,1),(55,1),(84,1)}
        36:{1,4,5}:{(18,1),(20,1),(43,1),(46,1),(54,1),(56,1),(87,1),(110,1),(123,1)}
        37:{1,5,7}:{(18,1),(19,1),(21,1),(55,1),(57,1)}
        38:{3,5}:{(20,1),(44,1),(48,1),(130,1)}
        39:{2,6}:{(21,1),(23,1),(57,1)}
        40:{4,6}:{(22,1),(23,1),(58,1)}
        41:{2,5}:{(24,1),(25,1),(59,1),(113,1)}
        42:{2,7}:{(24,1),(26,1)}
        43:{1,4}:{(25,1),(27,1),(59,1),(69,1)}
        44:{3,4}:{(27,1),(38,1),(140,1)}
        45:{2,5,6}:{(28,1),(34,1),(61,1),(62,1),(63,1),(72,1),(114,1),(133,1)}
        46:{1,4,6}:{(28,1),(29,1),(36,1),(62,1),(64,1),(65,1),(96,1)}
        47:{1,5,7}:{(28,1),(30,1),(63,1),(65,1),(66,1)}
        48:{3,6}:{(29,1),(38,1),(67,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(65,1),(67,1),(97,1)}
        50:{2,6,7}:{(30,1),(32,1),(39,1),(66,1),(142,1)}
        51:{4,6,7}:{(31,1),(32,1),(40,1),(68,1),(145,1)}
        52:{3,5}:{(33,1),(34,1),(69,1)}
        53:{3,7}:{(33,1),(35,1)}
        54:{2,4,5}:{(34,1),(36,1),(59,1),(62,1),(69,1),(71,1),(73,1),(90,1),(98,1),(114,1)}
        55:{2,5,7}:{(34,1),(35,1),(37,1),(70,1),(72,1)}
        56:{1,3,5}:{(36,1),(38,1),(60,1),(64,1),(71,1),(73,1)}
        57:{1,6}:{(37,1),(39,1),(72,1)}
        58:{5,6}:{(40,1),(68,1)}
        59:{2,4}:{(41,1),(43,1),(74,1)}
        60:{1,3,4}:{(43,1),(44,1),(56,1),(74,1),(75,1),(83,1),(101,1),(110,1),(130,1)}
        61:{3,5,6}:{(45,1),(52,1),(76,1),(77,1),(78,1),(85,1),(102,1),(111,1),(125,1),(126,1)}
        62:{2,4,6}:{(45,1),(46,1),(54,1),(76,1),(78,1),(79,1),(81,1)}
        63:{2,5,7}:{(45,1),(47,1),(77,1),(79,1),(80,1)}
        64:{1,3,6}:{(46,1),(48,1),(56,1),(78,1),(81,1),(82,1)}
        65:{1,4,7}:{(46,1),(47,1),(49,1),(79,1),(82,1),(109,1)}
        66:{1,6,7}:{(47,1),(50,1),(57,1),(80,1),(138,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{5,7}:{(51,1),(58,1),(146,1)}
        69:{4}:{(52,1)}
        70:{3,5,7}:{(52,1),(53,1),(55,1),(84,1),(85,1),(111,1)}
        71:{3,5}:{(54,1),(74,1),(78,1),(83,1)}
        72:{2,6}:{(55,1),(57,1),(85,1)}
        73:{2,5}:{(56,1),(75,1),(81,1),(87,1)}
        74:{3}:{(59,1)}
        75:{2,4}:{(60,1),(73,1),(88,1),(89,1),(113,1)}
        76:{4,6}:{(61,1),(69,1),(90,1),(92,1)}
        77:{3,5,7}:{(61,1),(63,1),(92,1),(93,1),(95,1),(119,1)}
        78:{3,6}:{(62,1),(71,1),(95,1)}
        79:{2,4,7}:{(62,1),(63,1),(65,1),(92,1),(95,1),(97,1)}
        80:{2,6,7}:{(63,1),(66,1),(72,1),(93,1),(133,1)}
        81:{2,6}:{(64,1),(73,1),(96,1),(97,1)}
        82:{1,3,7}:{(64,1),(65,1),(67,1),(95,1),(97,1)}
        83:{3,4}:{(69,1),(71,1),(98,1)}
        84:{4,7}:{(69,1),(70,1),(99,1)}
        85:{3,6}:{(70,1),(72,1),(99,1)}
        86:{2,3,5}:{(71,1),(73,1),(88,1),(94,1),(98,1),(100,1),(114,1)}
        87:{1,5}:{(73,1),(89,1),(96,1)}
        88:{2,3}:{(74,1),(75,1),(101,1),(130,1)}
        89:{1,4}:{(75,1),(87,1),(101,1)}
        90:{4,5}:{(76,1),(102,1),(111,1)}
        91:{3,4,6}:{(76,1),(78,1),(83,1),(102,1),(104,1),(105,1),(125,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,6,7}:{(77,1),(80,1),(85,1),(106,1),(125,1)}
        94:{2,3,6}:{(78,1),(81,1),(86,1),(104,1),(107,1),(108,1)}
        95:{3,7}:{(78,1),(79,1)}
        96:{1,6}:{(81,1),(87,1),(109,1)}
        97:{2,7}:{(81,1),(82,1),(109,1)}
        98:{2,4}:{(83,1),(86,1),(110,1)}
        99:{4,6}:{(84,1),(85,1),(111,1)}
       100:{1,3,5}:{(86,1),(87,1),(101,1),(107,1),(110,1),(112,1),(123,1),(130,1),(136,1)}
       101:{1,3}:{(88,1),(89,1),(113,1)}
       102:{3,5}:{(90,1),(91,1),(114,1)}
       103:{4,5,7}:{(90,1),(92,1),(115,1),(116,1),(119,1)}
       104:{2,4,6}:{(91,1),(94,1),(98,1),(114,1),(117,1),(118,1),(133,1)}
       105:{3,4,7}:{(91,1),(92,1),(95,1),(115,1),(118,1)}
       106:{4,6,7}:{(92,1),(93,1),(99,1),(116,1),(119,1)}
       107:{1,3,6}:{(94,1),(96,1),(100,1),(117,1),(120,1),(121,1),(134,1)}
       108:{2,3,7}:{(94,1),(95,1),(97,1),(118,1),(121,1)}
       109:{1,7}:{(96,1),(97,1)}
       110:{1,4}:{(98,1),(100,1),(122,1),(140,1)}
       111:{5}:{(99,1)}
       112:{2,5}:{(100,1),(113,1),(120,1),(122,1)}
       113:{2}:{(101,1)}
       114:{2,5}:{(102,1),(104,1),(123,1)}
       115:{3,5,7}:{(102,1),(103,1),(105,1),(124,1),(125,1)}
       116:{4,6}:{(103,1),(125,1),(126,1)}
       117:{1,4,6}:{(104,1),(107,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(104,1),(105,1),(108,1),(124,1),(128,1)}
       119:{5,7}:{(106,1),(111,1),(126,1)}
       120:{2,6}:{(107,1),(112,1),(129,1)}
       121:{1,3,7}:{(107,1),(108,1),(109,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(110,1),(112,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 120 :   0:{3,6,7}:{(2,1),(4,1),(5,1),(55,1),(143,1)}
         1:{3,5,6}:{(3,1),(5,1),(6,1),(21,1),(22,1),(24,1),(55,1),(136,1),(143,1),(146,1)}
         2:{2,6,7}:{(0,1),(7,1),(9,1),(75,1),(140,1)}
         3:{2,5,6}:{(1,1),(8,1),(9,1),(10,1),(39,1),(75,1),(128,1),(140,1)}
         4:{4,6,7}:{(0,1),(11,1),(13,1),(37,1),(145,1)}
         5:{3,5,7}:{(0,1),(1,1),(9,1),(11,1),(13,1),(35,1)}
         6:{4,6}:{(1,1),(12,1),(13,1),(142,1)}
         7:{1,6,7}:{(2,1),(15,1),(17,1),(95,1),(134,1)}
         8:{1,5,6}:{(3,1),(16,1),(17,1),(18,1),(57,1),(95,1),(116,1),(134,1)}
         9:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(20,1)}
        10:{2,4,6}:{(3,1),(6,1),(18,1),(19,1),(20,1),(21,1),(50,1)}
        11:{5,7}:{(4,1),(22,1),(146,1)}
        12:{4,5}:{(6,1),(24,1),(146,1)}
        13:{4,7}:{(5,1),(6,1)}
        14:{3,4,6}:{(6,1),(21,1),(24,1),(25,1),(26,1),(51,1),(55,1)}
        15:{2,6,7}:{(7,1),(27,1),(29,1),(111,1),(126,1)}
        16:{2,5,6}:{(8,1),(28,1),(29,1),(30,1),(77,1),(101,1),(111,1),(126,1)}
        17:{1,5,7}:{(7,1),(8,1),(9,1),(29,1),(32,1)}
        18:{1,4,6}:{(8,1),(10,1),(30,1),(31,1),(32,1),(33,1),(70,1)}
        19:{2,4,5}:{(10,1),(12,1),(31,1),(34,1),(39,1),(68,1),(71,1),(128,1),(131,1),(142,1)}
        20:{2,4,7}:{(9,1),(10,1),(13,1),(32,1),(35,1),(69,1)}
        21:{3,6}:{(10,1),(34,1),(35,1)}
        22:{5,6}:{(11,1),(37,1)}
        23:{4,5,7}:{(11,1),(12,1),(13,1),(37,1),(38,1)}
        24:{3,5}:{(12,1),(14,1),(39,1)}
        25:{3,4,7}:{(13,1),(14,1),(35,1),(38,1),(40,1)}
        26:{2,4,6}:{(14,1),(36,1),(39,1),(40,1),(41,1),(71,1),(75,1)}
        27:{3,6,7}:{(15,1),(42,1),(43,1),(114,1),(124,1)}
        28:{3,5,6}:{(16,1),(43,1),(44,1),(47,1),(80,1),(82,1),(97,1),(114,1),(124,1),(139,1)}
        29:{2,5,7}:{(15,1),(16,1),(17,1),(43,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(44,1),(45,1),(46,1),(47,1),(50,1)}
        31:{1,4,5}:{(18,1),(19,1),(45,1),(48,1),(57,1),(90,1),(92,1),(116,1),(119,1)}
        32:{1,4,7}:{(17,1),(18,1),(20,1),(46,1),(49,1),(91,1)}
        33:{1,3,6}:{(18,1),(21,1),(47,1),(48,1),(49,1),(50,1)}
        34:{3,5}:{(19,1),(21,1),(51,1),(138,1)}
        35:{3,7}:{(20,1),(21,1)}
        36:{2,3,6}:{(21,1),(26,1),(50,1),(52,1),(53,1),(54,1)}
        37:{4,6}:{(22,1),(23,1),(55,1)}
        38:{3,5,7}:{(23,1),(24,1),(25,1),(55,1),(56,1)}
        39:{2,5}:{(24,1),(26,1),(57,1)}
        40:{2,4,7}:{(25,1),(26,1),(53,1),(56,1),(58,1)}
        41:{1,4,6}:{(26,1),(54,1),(57,1),(58,1),(59,1),(92,1),(95,1)}
        42:{4,6,7}:{(27,1),(60,1),(62,1),(99,1),(133,1)}
        43:{3,5,7}:{(27,1),(28,1),(29,1),(60,1),(62,1),(65,1)}
        44:{4,6}:{(28,1),(61,1),(62,1),(113,1)}
        45:{2,4,5}:{(30,1),(31,1),(61,1),(64,1),(68,1),(77,1),(101,1),(104,1),(110,1),(113,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(62,1),(65,1),(69,1)}
        47:{3,6}:{(30,1),(64,1),(65,1)}
        48:{1,3,5}:{(31,1),(33,1),(34,1),(64,1),(67,1),(68,1)}
        49:{1,3,7}:{(32,1),(33,1),(35,1),(65,1),(69,1)}
        50:{2,6}:{(33,1),(68,1),(69,1),(70,1)}
        51:{3,4}:{(34,1),(71,1),(142,1)}
        52:{2,3,5}:{(34,1),(36,1),(39,1),(68,1),(71,1),(72,1),(108,1)}
        53:{2,3,7}:{(35,1),(36,1),(40,1),(69,1),(73,1)}
        54:{1,3,6}:{(36,1),(41,1),(70,1),(72,1),(73,1),(74,1),(79,1)}
        55:{3,6}:{(37,1),(38,1),(75,1)}
        56:{2,5,7}:{(38,1),(39,1),(40,1),(75,1),(76,1)}
        57:{1,5}:{(39,1),(41,1),(77,1)}
        58:{1,4,7}:{(40,1),(41,1),(73,1),(76,1),(78,1)}
        59:{2,4,6}:{(41,1),(74,1),(77,1),(78,1),(79,1),(110,1),(111,1),(113,1),(133,1)}
        60:{5,7}:{(42,1),(80,1),(139,1)}
        61:{4,5}:{(44,1),(82,1),(139,1)}
        62:{4,7}:{(43,1),(44,1)}
        63:{3,4,6}:{(44,1),(47,1),(82,1),(83,1),(84,1),(85,1),(114,1)}
        64:{3,5}:{(45,1),(47,1),(85,1),(123,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(47,1),(50,1),(84,1),(86,1),(87,1),(88,1)}
        67:{1,3,4}:{(48,1),(51,1),(85,1),(89,1),(92,1),(119,1),(122,1),(123,1),(138,1)}
        68:{2,5}:{(48,1),(50,1),(89,1),(90,1)}
        69:{2,7}:{(49,1),(50,1),(91,1)}
        70:{1,6}:{(50,1),(90,1),(91,1)}
        71:{2,4}:{(51,1),(52,1),(92,1)}
        72:{1,3,5}:{(52,1),(54,1),(57,1),(90,1),(92,1),(93,1),(97,1),(122,1),(123,1)}
        73:{1,3,7}:{(53,1),(54,1),(58,1),(91,1),(94,1),(98,1)}
        74:{2,6}:{(54,1),(93,1),(94,1)}
        75:{2,6}:{(55,1),(56,1),(95,1)}
        76:{1,5,7}:{(56,1),(57,1),(58,1),(95,1),(96,1)}
        77:{2,5}:{(57,1),(59,1),(97,1),(139,1)}
        78:{2,4,7}:{(58,1),(59,1),(94,1),(96,1),(98,1),(125,1)}
        79:{3,6}:{(59,1),(97,1),(98,1),(123,1)}
        80:{5,6}:{(60,1),(99,1)}
        81:{4,5,7}:{(60,1),(61,1),(62,1),(99,1),(100,1)}
        82:{3,5}:{(61,1),(63,1),(101,1)}
        83:{3,4,7}:{(62,1),(63,1),(65,1),(100,1),(102,1)}
        84:{2,4,6}:{(63,1),(66,1),(101,1),(102,1),(103,1),(104,1),(126,1)}
        85:{3,4}:{(64,1),(104,1),(113,1)}
        86:{2,3,5}:{(64,1),(66,1),(68,1),(101,1),(104,1),(105,1),(108,1)}
        87:{2,3,7}:{(65,1),(66,1),(69,1),(102,1),(106,1)}
        88:{1,3,6}:{(66,1),(70,1),(103,1),(105,1),(106,1),(107,1),(130,1)}
        89:{2,4}:{(67,1),(68,1),(108,1),(109,1),(132,1)}
        90:{1,5}:{(68,1),(70,1),(109,1)}
        91:{1,7}:{(69,1),(70,1)}
        92:{1,4}:{(71,1),(72,1),(110,1),(113,1)}
        93:{2,5}:{(72,1),(74,1),(110,1),(132,1)}
        94:{2,7}:{(73,1),(74,1)}
        95:{1,6}:{(75,1),(76,1),(111,1)}
        96:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        97:{3,5}:{(77,1),(79,1),(113,1)}
        98:{3,7}:{(78,1),(79,1)}
        99:{4,6}:{(80,1),(81,1),(114,1)}
       100:{3,5,7}:{(81,1),(82,1),(83,1),(114,1),(115,1)}
       101:{2,5}:{(82,1),(84,1),(116,1)}
       102:{2,4,7}:{(83,1),(84,1),(87,1),(115,1),(117,1)}
       103:{1,4,6}:{(84,1),(88,1),(116,1),(117,1),(118,1),(119,1),(134,1)}
       104:{2,4}:{(85,1),(86,1),(119,1)}
       105:{1,3,5}:{(86,1),(88,1),(90,1),(116,1),(119,1),(120,1),(122,1),(136,1),(138,1)}
       106:{1,3,7}:{(87,1),(88,1),(91,1),(117,1),(121,1),(137,1)}
       107:{2,6}:{(88,1),(120,1),(121,1)}
       108:{2,3}:{(89,1),(122,1),(123,1),(138,1)}
       109:{1,4}:{(89,1),(90,1),(122,1)}
       110:{2,4}:{(92,1),(93,1),(123,1)}
       111:{2,6}:{(95,1),(96,1),(124,1)}
       112:{3,5,7}:{(96,1),(97,1),(98,1),(124,1),(125,1),(139,1)}
       113:{4}:{(97,1)}
       114:{3,6}:{(99,1),(100,1),(126,1)}
       115:{2,5,7}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{1,5}:{(101,1),(103,1),(128,1)}
       117:{1,4,7}:{(102,1),(103,1),(106,1),(127,1),(129,1)}
       118:{2,4,6}:{(103,1),(107,1),(128,1),(129,1),(130,1),(131,1),(140,1),(142,1),(145,1)}
       119:{1,4}:{(104,1),(105,1),(131,1),(142,1)}
       120:{2,5}:{(105,1),(107,1),(131,1),(132,1)}
       121:{2,7}:{(106,1),(107,1)}
       122:{1,3}:{(108,1),(109,1),(132,1)}
       123:{3}:{(110,1)}
       124:{3,6}:{(111,1),(112,1),(133,1)}
       125:{4,7}:{(112,1),(113,1),(133,1)}
       126:{2,6}:{(114,1),(115,1),(134,1)}
       127:{1,5,7}:{(115,1),(116,1),(117,1),(134,1),(135,1)}
       128:{2,5}:{(116,1),(118,1),(136,1),(146,1)}
       129:{2,4,7}:{(117,1),(118,1),(121,1),(135,1),(137,1),(144,1)}
       130:{3,6}:{(118,1),(136,1),(137,1),(138,1)}
       131:{2,4}:{(119,1),(120,1),(138,1)}
       132:{2}:{(122,1)}
       133:{4,6}:{(124,1),(125,1),(139,1)}
       134:{1,6}:{(126,1),(127,1),(140,1)}
       135:{2,5,7}:{(127,1),(128,1),(129,1),(140,1),(141,1)}
       136:{3,5}:{(128,1),(130,1),(142,1)}
       137:{3,7}:{(129,1),(130,1)}
       138:{3}:{(131,1)}
       139:{5}:{(133,1)}
       140:{2,6}:{(134,1),(135,1),(143,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{4}:{(136,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 121 :   0:{3,5,6}:{(1,1),(2,1),(3,1),(15,1),(18,1),(54,1),(55,1),(134,1),(144,1),(146,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(33,1),(75,1),(126,1),(142,1)}
         2:{4,6}:{(0,1),(7,1),(9,1),(140,1)}
         3:{3,5,7}:{(0,1),(6,1),(9,1),(10,1),(32,1),(38,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(13,1),(52,1),(95,1),(113,1),(136,1)}
         5:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(46,1)}
         6:{2,5,7}:{(1,1),(3,1),(13,1),(16,1),(17,1)}
         7:{4,5}:{(2,1),(18,1),(146,1)}
         8:{3,4,6}:{(2,1),(15,1),(18,1),(20,1),(21,1),(48,1),(54,1)}
         9:{4,7}:{(2,1),(3,1)}
        10:{3,6,7}:{(3,1),(17,1),(22,1),(54,1),(144,1)}
        11:{2,5,6}:{(4,1),(23,1),(24,1),(25,1),(73,1),(97,1),(112,1),(128,1)}
        12:{1,4,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(67,1)}
        13:{1,5,7}:{(4,1),(6,1),(25,1),(28,1),(29,1)}
        14:{2,4,5}:{(5,1),(7,1),(26,1),(30,1),(33,1),(66,1),(69,1),(126,1),(131,1),(140,1)}
        15:{3,6}:{(5,1),(30,1),(32,1)}
        16:{2,4,7}:{(5,1),(6,1),(9,1),(28,1),(32,1),(68,1)}
        17:{2,6,7}:{(6,1),(10,1),(29,1),(75,1),(142,1)}
        18:{3,5}:{(7,1),(8,1),(33,1)}
        19:{4,5,7}:{(7,1),(9,1),(34,1),(35,1),(38,1)}
        20:{2,4,6}:{(8,1),(31,1),(33,1),(36,1),(37,1),(69,1),(75,1)}
        21:{3,4,7}:{(8,1),(9,1),(32,1),(34,1),(37,1)}
        22:{4,6,7}:{(9,1),(10,1),(35,1),(38,1),(145,1)}
        23:{3,5,6}:{(11,1),(39,1),(40,1),(42,1),(78,1),(93,1),(115,1),(116,1),(125,1),(139,1)}
        24:{2,4,6}:{(11,1),(12,1),(39,1),(41,1),(42,1),(43,1),(46,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(43,1),(44,1)}
        26:{1,4,5}:{(12,1),(14,1),(41,1),(45,1),(52,1),(88,1),(90,1),(113,1),(119,1)}
        27:{1,3,6}:{(12,1),(15,1),(42,1),(45,1),(46,1),(47,1)}
        28:{1,4,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(89,1)}
        29:{1,6,7}:{(13,1),(17,1),(44,1),(95,1),(136,1)}
        30:{3,5}:{(14,1),(15,1),(48,1),(138,1)}
        31:{2,3,6}:{(15,1),(20,1),(46,1),(49,1),(50,1),(51,1)}
        32:{3,7}:{(15,1),(16,1)}
        33:{2,5}:{(18,1),(20,1),(52,1)}
        34:{3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1)}
        35:{4,6}:{(19,1),(54,1),(55,1)}
        36:{1,4,6}:{(20,1),(50,1),(52,1),(56,1),(57,1),(90,1),(95,1)}
        37:{2,4,7}:{(20,1),(21,1),(51,1),(53,1),(57,1)}
        38:{5,7}:{(22,1),(55,1),(146,1)}
        39:{4,6}:{(23,1),(58,1),(60,1),(110,1)}
        40:{3,5,7}:{(23,1),(25,1),(60,1),(61,1),(64,1),(102,1)}
        41:{2,4,5}:{(24,1),(26,1),(58,1),(62,1),(66,1),(73,1),(97,1),(103,1),(109,1),(110,1)}
        42:{3,6}:{(24,1),(62,1),(64,1)}
        43:{2,4,7}:{(24,1),(25,1),(28,1),(60,1),(64,1),(68,1)}
        44:{2,6,7}:{(25,1),(29,1),(61,1),(112,1),(128,1)}
        45:{1,3,5}:{(26,1),(27,1),(30,1),(62,1),(65,1),(66,1)}
        46:{2,6}:{(27,1),(66,1),(67,1),(68,1)}
        47:{1,3,7}:{(27,1),(28,1),(32,1),(64,1),(68,1)}
        48:{3,4}:{(30,1),(69,1),(140,1)}
        49:{2,3,5}:{(30,1),(31,1),(33,1),(66,1),(69,1),(70,1),(107,1)}
        50:{1,3,6}:{(31,1),(36,1),(67,1),(70,1),(71,1),(72,1),(76,1)}
        51:{2,3,7}:{(31,1),(32,1),(37,1),(68,1),(72,1)}
        52:{1,5}:{(33,1),(36,1),(73,1)}
        53:{2,5,7}:{(33,1),(34,1),(37,1),(74,1),(75,1)}
        54:{3,6}:{(34,1),(35,1),(75,1)}
        55:{5,6}:{(35,1),(38,1)}
        56:{2,4,6}:{(36,1),(71,1),(73,1),(76,1),(77,1),(109,1),(110,1),(112,1),(133,1)}
        57:{1,4,7}:{(36,1),(37,1),(72,1),(74,1),(77,1)}
        58:{4,5}:{(39,1),(78,1),(139,1)}
        59:{3,4,6}:{(39,1),(42,1),(78,1),(80,1),(81,1),(83,1),(115,1)}
        60:{4,7}:{(39,1),(40,1)}
        61:{3,6,7}:{(40,1),(44,1),(82,1),(115,1),(125,1)}
        62:{3,5}:{(41,1),(42,1),(83,1),(123,1)}
        63:{2,3,6}:{(42,1),(46,1),(80,1),(84,1),(85,1),(86,1)}
        64:{3,7}:{(42,1),(43,1)}
        65:{1,3,4}:{(45,1),(48,1),(83,1),(87,1),(90,1),(119,1),(122,1),(123,1),(138,1)}
        66:{2,5}:{(45,1),(46,1),(87,1),(88,1)}
        67:{1,6}:{(46,1),(88,1),(89,1)}
        68:{2,7}:{(46,1),(47,1),(89,1)}
        69:{2,4}:{(48,1),(49,1),(90,1)}
        70:{1,3,5}:{(49,1),(50,1),(52,1),(88,1),(90,1),(91,1),(93,1),(122,1),(123,1)}
        71:{2,6}:{(50,1),(91,1),(92,1)}
        72:{1,3,7}:{(50,1),(51,1),(57,1),(89,1),(92,1),(96,1)}
        73:{2,5}:{(52,1),(56,1),(93,1),(139,1)}
        74:{1,5,7}:{(52,1),(53,1),(57,1),(94,1),(95,1)}
        75:{2,6}:{(53,1),(54,1),(95,1)}
        76:{3,6}:{(56,1),(93,1),(96,1),(123,1)}
        77:{2,4,7}:{(56,1),(57,1),(92,1),(94,1),(96,1),(124,1)}
        78:{3,5}:{(58,1),(59,1),(97,1)}
        79:{4,5,7}:{(58,1),(60,1),(98,1),(99,1),(102,1)}
        80:{2,4,6}:{(59,1),(63,1),(97,1),(100,1),(101,1),(103,1),(128,1)}
        81:{3,4,7}:{(59,1),(60,1),(64,1),(98,1),(101,1)}
        82:{4,6,7}:{(60,1),(61,1),(99,1),(102,1),(133,1)}
        83:{3,4}:{(62,1),(103,1),(110,1)}
        84:{2,3,5}:{(62,1),(63,1),(66,1),(97,1),(103,1),(104,1),(107,1)}
        85:{1,3,6}:{(63,1),(67,1),(100,1),(104,1),(105,1),(106,1),(129,1)}
        86:{2,3,7}:{(63,1),(64,1),(68,1),(101,1),(106,1)}
        87:{2,4}:{(65,1),(66,1),(107,1),(108,1),(132,1)}
        88:{1,5}:{(66,1),(67,1),(108,1)}
        89:{1,7}:{(67,1),(68,1)}
        90:{1,4}:{(69,1),(70,1),(109,1),(110,1)}
        91:{2,5}:{(70,1),(71,1),(109,1),(132,1)}
        92:{2,7}:{(71,1),(72,1)}
        93:{3,5}:{(73,1),(76,1),(110,1)}
        94:{2,5,7}:{(73,1),(74,1),(77,1),(111,1),(112,1)}
        95:{1,6}:{(74,1),(75,1),(112,1)}
        96:{3,7}:{(76,1),(77,1)}
        97:{2,5}:{(78,1),(80,1),(113,1)}
        98:{3,5,7}:{(78,1),(79,1),(81,1),(114,1),(115,1)}
        99:{4,6}:{(79,1),(115,1),(116,1)}
       100:{1,4,6}:{(80,1),(85,1),(113,1),(117,1),(118,1),(119,1),(136,1)}
       101:{2,4,7}:{(80,1),(81,1),(86,1),(114,1),(118,1)}
       102:{5,7}:{(82,1),(116,1),(139,1)}
       103:{2,4}:{(83,1),(84,1),(119,1)}
       104:{1,3,5}:{(84,1),(85,1),(88,1),(113,1),(119,1),(120,1),(122,1),(134,1),(138,1)}
       105:{2,6}:{(85,1),(120,1),(121,1)}
       106:{1,3,7}:{(85,1),(86,1),(89,1),(118,1),(121,1),(137,1)}
       107:{2,3}:{(87,1),(122,1),(123,1),(138,1)}
       108:{1,4}:{(87,1),(88,1),(122,1)}
       109:{2,4}:{(90,1),(91,1),(123,1)}
       110:{4}:{(93,1)}
       111:{3,5,7}:{(93,1),(94,1),(96,1),(124,1),(125,1),(139,1)}
       112:{2,6}:{(94,1),(95,1),(125,1)}
       113:{1,5}:{(97,1),(100,1),(126,1)}
       114:{2,5,7}:{(97,1),(98,1),(101,1),(127,1),(128,1)}
       115:{3,6}:{(98,1),(99,1),(128,1)}
       116:{5,6}:{(99,1),(102,1)}
       117:{2,4,6}:{(100,1),(105,1),(126,1),(129,1),(130,1),(131,1),(140,1),(142,1),(145,1)}
       118:{1,4,7}:{(100,1),(101,1),(106,1),(127,1),(130,1)}
       119:{1,4}:{(103,1),(104,1),(131,1),(140,1)}
       120:{2,5}:{(104,1),(105,1),(131,1),(132,1)}
       121:{2,7}:{(105,1),(106,1)}
       122:{1,3}:{(107,1),(108,1),(132,1)}
       123:{3}:{(109,1)}
       124:{4,7}:{(110,1),(111,1),(133,1)}
       125:{3,6}:{(111,1),(112,1),(133,1)}
       126:{2,5}:{(113,1),(117,1),(134,1),(146,1)}
       127:{1,5,7}:{(113,1),(114,1),(118,1),(135,1),(136,1)}
       128:{2,6}:{(114,1),(115,1),(136,1)}
       129:{3,6}:{(117,1),(134,1),(137,1),(138,1)}
       130:{2,4,7}:{(117,1),(118,1),(121,1),(135,1),(137,1),(143,1)}
       131:{2,4}:{(119,1),(120,1),(138,1)}
       132:{2}:{(122,1)}
       133:{4,6}:{(124,1),(125,1),(139,1)}
       134:{3,5}:{(126,1),(129,1),(140,1)}
       135:{2,5,7}:{(126,1),(127,1),(130,1),(141,1),(142,1)}
       136:{1,6}:{(127,1),(128,1),(142,1)}
       137:{3,7}:{(129,1),(130,1)}
       138:{3}:{(131,1)}
       139:{5}:{(133,1)}
       140:{4}:{(134,1)}
       141:{3,5,7}:{(134,1),(135,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(135,1),(136,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 122 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(11,1),(13,1),(28,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1)}
        2:{4,7}:{(0,1),(7,1),(35,1)}
        3:{3,6}:{(0,1),(6,1),(7,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1)}
        5:{2,4,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(25,1)}
        6:{2,6}:{(1,1),(3,1),(10,1)}
        7:{4,6}:{(2,1),(3,1),(13,1)}
        8:{2,5,7}:{(4,1),(14,1),(15,1),(16,1),(31,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(32,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{3,7}:{(5,1),(19,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(18,1),(19,1),(20,1),(33,1),(35,1),(43,1)}
       13:{5}:{(7,1)}
       14:{3,5,7}:{(8,1),(21,1),(22,1),(23,1),(36,1),(37,1)}
       15:{2,4,7}:{(8,1),(9,1),(21,1),(23,1),(24,1),(25,1)}
       16:{2,6}:{(8,1),(10,1),(22,1)}
       17:{1,3,7}:{(9,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(38,1),(40,1),(44,1)}
       19:{3,6}:{(11,1),(12,1),(28,1),(45,1)}
       20:{2,5}:{(12,1),(13,1),(27,1),(28,1)}
       21:{4,7}:{(14,1),(29,1),(41,1)}
       22:{3,6}:{(14,1),(16,1),(29,1)}
       23:{3,7}:{(15,1),(30,1)}
       24:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       25:{2,7}:{(17,1),(32,1),(33,1)}
       26:{1,3,6}:{(17,1),(18,1),(19,1),(30,1),(33,1),(34,1),(46,1)}
       27:{1,5}:{(18,1),(20,1),(31,1)}
       28:{3,5}:{(19,1),(20,1),(35,1)}
       29:{4,6}:{(21,1),(22,1),(36,1)}
       30:{3,6}:{(23,1),(24,1),(37,1),(45,1)}
       31:{2,5}:{(24,1),(27,1),(36,1),(37,1)}
       32:{1,7}:{(25,1),(38,1)}
       33:{2,6}:{(25,1),(26,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(26,1),(27,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

 123 :  0:{6,7}:{(3,1)}
        1:{5,6}:{(3,1),(4,1)}
        2:{4,5}:{(4,1),(5,1)}
        3:{5,7}:{(0,1),(1,1),(7,1)}
        4:{4,6}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,5}:{(2,1),(6,1),(8,1),(9,1)}
        6:{3,4}:{(5,1),(10,1)}
        7:{4,7}:{(3,1),(4,1),(11,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1)}
        9:{2,5}:{(5,1),(10,1),(12,1),(13,1)}
       10:{2,4}:{(6,1),(9,1),(14,1),(15,1)}
       11:{3,7}:{(7,1),(8,1),(16,1)}
       12:{2,6}:{(8,1),(9,1),(16,1),(17,1)}
       13:{1,5}:{(9,1),(15,1),(17,1),(18,1)}
       14:{2,3}:{(10,1),(19,1)}
       15:{1,4}:{(10,1),(13,1),(19,1),(20,1)}
       16:{2,7}:{(11,1),(12,1),(21,1)}
       17:{1,6}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,5}:{(13,1),(20,1),(22,1),(23,1)}
       19:{1,3}:{(14,1),(15,1),(24,1),(25,1)}
       20:{2,4}:{(15,1),(18,1),(24,1),(25,1),(28,1)}
       21:{1,7}:{(16,1),(17,1),(26,1)}
       22:{2,6}:{(17,1),(18,1),(26,1),(27,1)}
       23:{3,5}:{(18,1),(25,1),(27,1),(28,1),(32,1)}
       24:{2}:{(19,1)}
       25:{3}:{(20,1)}
       26:{2,7}:{(21,1),(22,1),(29,1)}
       27:{3,6}:{(22,1),(23,1),(29,1),(30,1)}
       28:{4}:{(23,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 124 :   0:{4,5,7}:{(1,1),(2,1),(11,1),(30,1),(33,1)}
         1:{3,5,7}:{(0,1),(3,1),(5,1),(6,1),(18,1)}
         2:{4,6}:{(0,1),(6,1),(7,1)}
         3:{3,4,7}:{(1,1),(8,1),(9,1),(33,1),(63,1)}
         4:{4,6,7}:{(2,1),(10,1),(11,1),(33,1),(145,1)}
         5:{2,5,7}:{(1,1),(8,1),(12,1),(13,1),(29,1)}
         6:{3,6}:{(1,1),(2,1),(13,1)}
         7:{5,6}:{(2,1),(11,1)}
         8:{2,4,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{3,4,6}:{(3,1),(6,1),(17,1),(18,1),(24,1),(52,1),(70,1)}
        10:{3,6,7}:{(4,1),(6,1),(19,1),(20,1),(143,1)}
        11:{5,7}:{(4,1),(7,1),(146,1)}
        12:{1,5,7}:{(5,1),(16,1),(21,1),(22,1),(43,1)}
        13:{2,6}:{(5,1),(6,1),(22,1)}
        14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1),(23,1),(24,1),(52,1),(139,1),(143,1),(146,1)}
        15:{2,3,7}:{(8,1),(25,1),(26,1),(63,1),(90,1)}
        16:{1,4,7}:{(8,1),(12,1),(25,1),(27,1),(28,1)}
        17:{2,4,6}:{(8,1),(9,1),(13,1),(26,1),(28,1),(29,1),(55,1)}
        18:{3,5}:{(9,1),(29,1),(30,1)}
        19:{2,6,7}:{(10,1),(13,1),(31,1),(32,1),(140,1)}
        20:{3,5,7}:{(10,1),(11,1),(14,1),(32,1),(33,1),(63,1)}
        21:{2,5,7}:{(12,1),(27,1),(34,1),(35,1),(57,1)}
        22:{1,6}:{(12,1),(13,1),(35,1)}
        23:{2,5,6}:{(13,1),(14,1),(29,1),(32,1),(36,1),(37,1),(133,1),(140,1)}
        24:{4,6}:{(14,1),(30,1),(33,1),(142,1)}
        25:{1,3,7}:{(15,1),(16,1),(38,1),(39,1),(41,1),(104,1)}
        26:{2,3,6}:{(15,1),(17,1),(39,1),(40,1),(52,1),(81,1)}
        27:{2,4,7}:{(16,1),(21,1),(38,1),(41,1),(42,1),(48,1)}
        28:{1,4,6}:{(16,1),(17,1),(22,1),(39,1),(42,1),(43,1),(69,1)}
        29:{2,5}:{(17,1),(18,1),(43,1)}
        30:{4,5}:{(18,1),(24,1),(146,1)}
        31:{1,6,7}:{(19,1),(22,1),(45,1),(46,1),(136,1)}
        32:{2,5,7}:{(19,1),(20,1),(23,1),(46,1),(47,1)}
        33:{4,7}:{(20,1),(24,1)}
        34:{3,5,7}:{(21,1),(41,1),(48,1),(49,1),(71,1),(78,1)}
        35:{2,6}:{(21,1),(22,1),(49,1)}
        36:{1,5,6}:{(22,1),(23,1),(43,1),(46,1),(50,1),(51,1),(126,1),(136,1)}
        37:{2,4,6}:{(23,1),(24,1),(44,1),(47,1),(51,1),(52,1),(81,1)}
        38:{2,7}:{(25,1),(53,1)}
        39:{1,3,6}:{(25,1),(26,1),(28,1),(53,1),(54,1),(56,1),(94,1)}
        40:{2,3,5}:{(26,1),(29,1),(54,1),(55,1),(59,1),(86,1),(108,1)}
        41:{3,7}:{(27,1),(56,1)}
        42:{2,4,6}:{(27,1),(28,1),(35,1),(53,1),(56,1),(57,1),(64,1),(82,1),(84,1)}
        43:{1,5}:{(28,1),(29,1),(57,1)}
        44:{2,4,5}:{(29,1),(30,1),(37,1),(55,1),(58,1),(59,1),(86,1),(129,1),(133,1),(142,1)}
        45:{2,6,7}:{(31,1),(35,1),(60,1),(61,1),(130,1)}
        46:{1,5,7}:{(31,1),(32,1),(36,1),(61,1),(62,1)}
        47:{2,4,7}:{(32,1),(33,1),(37,1),(62,1),(63,1),(90,1)}
        48:{4,7}:{(34,1),(64,1),(84,1)}
        49:{3,6}:{(34,1),(35,1),(64,1)}
        50:{2,5,6}:{(35,1),(36,1),(57,1),(61,1),(65,1),(66,1),(116,1),(130,1)}
        51:{1,4,6}:{(36,1),(37,1),(58,1),(62,1),(66,1),(67,1),(94,1)}
        52:{3,6}:{(37,1),(59,1),(63,1)}
        53:{2,6}:{(38,1),(39,1),(68,1)}
        54:{1,3,5}:{(39,1),(40,1),(43,1),(68,1),(69,1),(71,1),(95,1),(99,1),(119,1)}
        55:{2,4}:{(40,1),(69,1),(70,1)}
        56:{3,6}:{(41,1),(42,1),(71,1),(95,1)}
        57:{2,5}:{(42,1),(43,1),(71,1),(78,1)}
        58:{1,4,5}:{(43,1),(44,1),(51,1),(69,1),(72,1),(73,1),(99,1),(120,1),(126,1)}
        59:{3,5}:{(44,1),(52,1),(70,1),(135,1)}
        60:{3,6,7}:{(45,1),(49,1),(74,1),(75,1),(122,1)}
        61:{2,5,7}:{(45,1),(46,1),(50,1),(75,1),(76,1)}
        62:{1,4,7}:{(46,1),(47,1),(51,1),(76,1),(77,1),(104,1)}
        63:{3,7}:{(47,1),(52,1)}
        64:{4,6}:{(48,1),(49,1),(78,1)}
        65:{3,5,6}:{(49,1),(50,1),(71,1),(75,1),(78,1),(79,1),(80,1),(100,1),(105,1),(122,1)}
        66:{2,4,6}:{(50,1),(51,1),(72,1),(76,1),(79,1),(80,1),(81,1)}
        67:{1,3,6}:{(51,1),(52,1),(73,1),(77,1),(80,1),(81,1)}
        68:{2,5}:{(53,1),(54,1),(82,1),(128,1)}
        69:{1,4}:{(54,1),(55,1),(82,1),(84,1)}
        70:{3,4}:{(55,1),(59,1),(142,1)}
        71:{3,5}:{(56,1),(57,1),(84,1)}
        72:{2,4,5}:{(57,1),(58,1),(66,1),(82,1),(84,1),(85,1),(86,1),(91,1),(110,1),(116,1)}
        73:{1,3,5}:{(58,1),(59,1),(67,1),(83,1),(85,1),(86,1)}
        74:{4,6,7}:{(60,1),(64,1),(87,1),(88,1),(112,1)}
        75:{3,5,7}:{(60,1),(61,1),(65,1),(87,1),(88,1),(89,1)}
        76:{2,4,7}:{(61,1),(62,1),(66,1),(88,1),(89,1),(90,1)}
        77:{1,3,7}:{(62,1),(63,1),(67,1),(89,1),(90,1)}
        78:{5}:{(64,1)}
        79:{4,6}:{(65,1),(84,1),(88,1),(91,1)}
        80:{3,6}:{(66,1),(85,1),(89,1)}
        81:{2,6}:{(67,1),(86,1),(90,1),(94,1)}
        82:{2,4}:{(68,1),(69,1),(95,1)}
        83:{1,3,4}:{(69,1),(70,1),(73,1),(95,1),(96,1),(97,1),(119,1),(120,1),(135,1)}
        84:{4}:{(71,1)}
        85:{3,5}:{(72,1),(80,1),(95,1),(97,1)}
        86:{2,5}:{(73,1),(81,1),(96,1),(99,1)}
        87:{5,7}:{(74,1),(78,1),(100,1)}
        88:{4,7}:{(75,1),(79,1)}
        89:{3,7}:{(76,1),(80,1)}
        90:{2,7}:{(77,1),(81,1),(104,1)}
        91:{4,5}:{(78,1),(79,1),(105,1)}
        92:{3,4,6}:{(79,1),(80,1),(97,1),(102,1),(105,1),(106,1),(122,1)}
        93:{2,3,6}:{(80,1),(81,1),(98,1),(103,1),(106,1),(107,1)}
        94:{1,6}:{(81,1),(99,1),(104,1)}
        95:{3}:{(82,1)}
        96:{2,4}:{(83,1),(86,1),(108,1),(109,1),(128,1)}
        97:{3,4}:{(84,1),(85,1),(110,1)}
        98:{2,3,5}:{(85,1),(86,1),(93,1),(108,1),(110,1),(111,1),(116,1)}
        99:{1,5}:{(86,1),(94,1),(109,1)}
       100:{5,6}:{(87,1),(112,1)}
       101:{4,5,7}:{(87,1),(88,1),(91,1),(112,1),(113,1)}
       102:{3,4,7}:{(88,1),(89,1),(92,1),(113,1),(114,1)}
       103:{2,3,7}:{(89,1),(90,1),(93,1),(114,1),(115,1)}
       104:{1,7}:{(90,1),(94,1)}
       105:{3,5}:{(91,1),(92,1),(116,1)}
       106:{2,4,6}:{(92,1),(93,1),(110,1),(114,1),(116,1),(117,1),(130,1)}
       107:{1,3,6}:{(93,1),(94,1),(111,1),(115,1),(117,1),(118,1),(134,1)}
       108:{2,3}:{(95,1),(96,1),(119,1),(135,1)}
       109:{1,4}:{(96,1),(99,1),(119,1)}
       110:{2,4}:{(97,1),(98,1),(120,1)}
       111:{1,3,5}:{(98,1),(99,1),(107,1),(119,1),(120,1),(121,1),(126,1),(135,1),(139,1)}
       112:{4,6}:{(100,1),(101,1),(122,1)}
       113:{3,5,7}:{(101,1),(102,1),(105,1),(122,1),(123,1)}
       114:{2,4,7}:{(102,1),(103,1),(106,1),(123,1),(124,1)}
       115:{1,3,7}:{(103,1),(104,1),(107,1),(124,1),(125,1),(138,1)}
       116:{2,5}:{(105,1),(106,1),(126,1)}
       117:{1,4,6}:{(106,1),(107,1),(120,1),(124,1),(126,1),(127,1),(136,1)}
       118:{2,6}:{(107,1),(121,1),(125,1)}
       119:{1,3}:{(108,1),(109,1),(128,1)}
       120:{1,4}:{(110,1),(111,1),(129,1),(142,1)}
       121:{2,5}:{(111,1),(118,1),(128,1),(129,1)}
       122:{3,6}:{(112,1),(113,1),(130,1)}
       123:{2,5,7}:{(113,1),(114,1),(116,1),(130,1),(131,1)}
       124:{1,4,7}:{(114,1),(115,1),(117,1),(131,1),(132,1)}
       125:{2,7}:{(115,1),(118,1)}
       126:{1,5}:{(116,1),(117,1),(133,1)}
       127:{2,4,6}:{(117,1),(118,1),(129,1),(132,1),(133,1),(134,1),(140,1),(142,1),(145,1)}
       128:{2}:{(119,1)}
       129:{2,4}:{(120,1),(121,1),(135,1)}
       130:{2,6}:{(122,1),(123,1),(136,1)}
       131:{1,5,7}:{(123,1),(124,1),(126,1),(136,1),(137,1)}
       132:{2,4,7}:{(124,1),(125,1),(127,1),(137,1),(138,1),(144,1)}
       133:{2,5}:{(126,1),(127,1),(139,1),(146,1)}
       134:{3,6}:{(127,1),(135,1),(138,1),(139,1)}
       135:{3}:{(129,1)}
       136:{1,6}:{(130,1),(131,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(133,1),(140,1),(141,1)}
       138:{3,7}:{(132,1),(134,1)}
       139:{3,5}:{(133,1),(134,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 125 :   0:{4,6,7}:{(1,1),(2,1),(10,1),(11,1),(144,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(19,1),(140,1)}
         2:{5,7}:{(0,1),(5,1),(146,1)}
         3:{2,6,7}:{(1,1),(7,1),(8,1),(30,1),(134,1)}
         4:{3,5,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(26,1)}
         5:{5,6}:{(2,1),(11,1)}
         6:{4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1)}
         7:{1,6,7}:{(3,1),(13,1),(14,1),(44,1),(125,1)}
         8:{2,5,7}:{(3,1),(4,1),(14,1),(15,1),(16,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1),(17,1),(19,1),(39,1),(41,1),(140,1),(142,1),(146,1)}
        10:{4,7}:{(4,1),(17,1)}
        11:{4,6}:{(5,1),(6,1),(19,1)}
        12:{3,5,7}:{(6,1),(18,1),(19,1),(20,1),(41,1)}
        13:{2,6,7}:{(7,1),(21,1),(22,1),(60,1),(113,1)}
        14:{1,5,7}:{(7,1),(8,1),(22,1),(23,1),(24,1)}
        15:{2,5,6}:{(8,1),(9,1),(23,1),(25,1),(30,1),(57,1),(134,1),(136,1)}
        16:{2,4,7}:{(8,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{4,6}:{(9,1),(10,1),(27,1),(145,1)}
        18:{3,4,7}:{(10,1),(12,1),(26,1),(28,1),(29,1)}
        19:{3,6}:{(11,1),(12,1),(30,1)}
        20:{2,5,7}:{(12,1),(29,1),(30,1),(31,1),(57,1)}
        21:{3,6,7}:{(13,1),(32,1),(33,1),(79,1),(98,1)}
        22:{2,5,7}:{(13,1),(14,1),(33,1),(34,1),(35,1)}
        23:{1,5,6}:{(14,1),(15,1),(34,1),(36,1),(44,1),(76,1),(125,1),(127,1)}
        24:{1,4,7}:{(14,1),(16,1),(35,1),(36,1),(37,1),(71,1)}
        25:{2,4,6}:{(15,1),(16,1),(17,1),(36,1),(38,1),(39,1),(70,1)}
        26:{3,7}:{(16,1),(39,1)}
        27:{4,5}:{(17,1),(41,1),(146,1)}
        28:{3,4,6}:{(17,1),(18,1),(19,1),(39,1),(41,1),(42,1),(72,1)}
        29:{2,4,7}:{(18,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,6}:{(19,1),(20,1),(44,1)}
        31:{1,5,7}:{(20,1),(43,1),(44,1),(45,1),(76,1)}
        32:{4,6,7}:{(21,1),(46,1),(48,1),(81,1),(97,1)}
        33:{3,5,7}:{(21,1),(22,1),(46,1),(47,1),(48,1),(50,1)}
        34:{2,5,6}:{(22,1),(23,1),(47,1),(49,1),(60,1),(95,1),(113,1),(115,1)}
        35:{2,4,7}:{(22,1),(24,1),(48,1),(49,1),(50,1),(53,1)}
        36:{1,4,6}:{(23,1),(24,1),(25,1),(49,1),(51,1),(52,1),(91,1)}
        37:{1,3,7}:{(24,1),(26,1),(50,1),(52,1),(53,1)}
        38:{2,4,5}:{(25,1),(27,1),(51,1),(54,1),(57,1),(90,1),(92,1),(136,1),(138,1),(145,1)}
        39:{3,6}:{(25,1),(26,1),(54,1)}
        40:{2,3,7}:{(26,1),(29,1),(53,1),(55,1),(56,1)}
        41:{3,5}:{(27,1),(28,1),(57,1)}
        42:{2,4,6}:{(28,1),(29,1),(30,1),(55,1),(57,1),(58,1),(92,1)}
        43:{1,4,7}:{(29,1),(31,1),(56,1),(58,1),(59,1)}
        44:{1,6}:{(30,1),(31,1),(60,1)}
        45:{2,5,7}:{(31,1),(59,1),(60,1),(61,1),(95,1)}
        46:{5,7}:{(32,1),(62,1),(112,1)}
        47:{3,5,6}:{(33,1),(34,1),(62,1),(64,1),(67,1),(79,1),(98,1),(100,1),(111,1),(112,1)}
        48:{4,7}:{(33,1),(64,1)}
        49:{2,4,6}:{(34,1),(35,1),(36,1),(64,1),(66,1),(67,1),(70,1)}
        50:{3,7}:{(35,1),(67,1)}
        51:{1,4,5}:{(36,1),(38,1),(66,1),(69,1),(76,1),(108,1),(109,1),(127,1),(130,1)}
        52:{1,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(70,1)}
        53:{2,7}:{(37,1),(70,1),(71,1)}
        54:{3,5}:{(38,1),(39,1),(72,1),(143,1)}
        55:{2,3,6}:{(39,1),(40,1),(42,1),(70,1),(73,1),(74,1)}
        56:{1,3,7}:{(40,1),(43,1),(71,1),(74,1),(75,1),(78,1)}
        57:{2,5}:{(41,1),(42,1),(76,1)}
        58:{1,4,6}:{(42,1),(43,1),(44,1),(74,1),(76,1),(77,1),(109,1)}
        59:{2,4,7}:{(43,1),(45,1),(75,1),(77,1),(78,1),(80,1)}
        60:{2,6}:{(44,1),(45,1),(79,1)}
        61:{3,5,7}:{(45,1),(78,1),(79,1),(80,1),(111,1),(112,1)}
        62:{5,6}:{(46,1),(81,1)}
        63:{4,5,7}:{(46,1),(48,1),(81,1),(82,1),(83,1)}
        64:{4,6}:{(47,1),(48,1),(83,1),(124,1)}
        65:{3,4,7}:{(48,1),(50,1),(82,1),(84,1),(85,1)}
        66:{2,4,5}:{(49,1),(51,1),(83,1),(86,1),(90,1),(95,1),(115,1),(118,1),(123,1),(124,1)}
        67:{3,6}:{(49,1),(50,1),(86,1)}
        68:{2,3,7}:{(50,1),(53,1),(85,1),(87,1),(88,1)}
        69:{1,3,5}:{(51,1),(52,1),(54,1),(86,1),(89,1),(90,1)}
        70:{2,6}:{(52,1),(53,1),(90,1),(91,1)}
        71:{1,7}:{(53,1),(91,1)}
        72:{3,4}:{(54,1),(92,1),(145,1)}
        73:{2,3,5}:{(54,1),(55,1),(57,1),(90,1),(92,1),(93,1),(121,1)}
        74:{1,3,6}:{(55,1),(56,1),(58,1),(91,1),(93,1),(94,1),(96,1)}
        75:{2,7}:{(56,1),(94,1)}
        76:{1,5}:{(57,1),(58,1),(95,1)}
        77:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(95,1),(96,1),(97,1),(123,1),(124,1)}
        78:{3,7}:{(59,1),(96,1)}
        79:{3,6}:{(60,1),(61,1),(97,1)}
        80:{4,7}:{(61,1),(97,1),(124,1)}
        81:{4,6}:{(62,1),(63,1),(98,1)}
        82:{3,5,7}:{(63,1),(65,1),(98,1),(99,1),(100,1)}
        83:{4,5}:{(64,1),(100,1),(112,1)}
        84:{3,4,6}:{(64,1),(65,1),(67,1),(98,1),(100,1),(101,1),(103,1)}
        85:{2,4,7}:{(65,1),(68,1),(99,1),(101,1),(102,1)}
        86:{3,5}:{(66,1),(67,1),(103,1),(133,1)}
        87:{2,3,6}:{(67,1),(68,1),(70,1),(101,1),(104,1),(105,1)}
        88:{1,3,7}:{(68,1),(71,1),(102,1),(105,1),(106,1),(129,1)}
        89:{1,3,4}:{(69,1),(72,1),(103,1),(107,1),(109,1),(130,1),(132,1),(133,1),(143,1)}
        90:{2,5}:{(69,1),(70,1),(107,1),(108,1)}
        91:{1,6}:{(70,1),(71,1),(108,1)}
        92:{2,4}:{(72,1),(73,1),(109,1)}
        93:{1,3,5}:{(73,1),(74,1),(76,1),(108,1),(109,1),(110,1),(111,1),(132,1),(133,1)}
        94:{2,6}:{(74,1),(75,1),(110,1)}
        95:{2,5}:{(76,1),(77,1),(111,1),(112,1)}
        96:{3,6}:{(77,1),(78,1),(111,1),(133,1)}
        97:{4,6}:{(79,1),(80,1),(112,1)}
        98:{3,6}:{(81,1),(82,1),(113,1)}
        99:{2,5,7}:{(82,1),(85,1),(113,1),(114,1),(115,1)}
       100:{3,5}:{(83,1),(84,1),(115,1)}
       101:{2,4,6}:{(84,1),(85,1),(87,1),(113,1),(115,1),(116,1),(118,1)}
       102:{1,4,7}:{(85,1),(88,1),(114,1),(116,1),(117,1)}
       103:{3,4}:{(86,1),(118,1),(124,1)}
       104:{2,3,5}:{(86,1),(87,1),(90,1),(115,1),(118,1),(119,1),(121,1)}
       105:{1,3,6}:{(87,1),(88,1),(91,1),(116,1),(119,1),(120,1),(137,1)}
       106:{2,7}:{(88,1),(120,1)}
       107:{2,4}:{(89,1),(90,1),(121,1),(122,1),(139,1)}
       108:{1,5}:{(90,1),(91,1),(122,1)}
       109:{1,4}:{(92,1),(93,1),(123,1),(124,1)}
       110:{2,5}:{(93,1),(94,1),(123,1),(139,1)}
       111:{3,5}:{(95,1),(96,1),(124,1)}
       112:{5}:{(97,1)}
       113:{2,6}:{(98,1),(99,1),(125,1)}
       114:{1,5,7}:{(99,1),(102,1),(125,1),(126,1),(127,1)}
       115:{2,5}:{(100,1),(101,1),(127,1)}
       116:{1,4,6}:{(101,1),(102,1),(105,1),(125,1),(127,1),(128,1),(130,1)}
       117:{2,4,7}:{(102,1),(106,1),(126,1),(128,1),(129,1),(141,1)}
       118:{2,4}:{(103,1),(104,1),(130,1)}
       119:{1,3,5}:{(104,1),(105,1),(108,1),(127,1),(130,1),(131,1),(132,1),(142,1),(143,1)}
       120:{2,6}:{(105,1),(106,1),(131,1)}
       121:{2,3}:{(107,1),(132,1),(133,1),(143,1)}
       122:{1,4}:{(107,1),(108,1),(132,1)}
       123:{2,4}:{(109,1),(110,1),(133,1)}
       124:{4}:{(111,1)}
       125:{1,6}:{(113,1),(114,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(134,1),(135,1),(136,1)}
       127:{1,5}:{(115,1),(116,1),(136,1)}
       128:{2,4,6}:{(116,1),(117,1),(120,1),(134,1),(136,1),(137,1),(138,1),(144,1),(145,1)}
       129:{3,7}:{(117,1),(137,1)}
       130:{1,4}:{(118,1),(119,1),(138,1),(145,1)}
       131:{2,5}:{(119,1),(120,1),(138,1),(139,1)}
       132:{1,3}:{(121,1),(122,1),(139,1)}
       133:{3}:{(123,1)}
       134:{2,6}:{(125,1),(126,1),(140,1)}
       135:{3,5,7}:{(126,1),(129,1),(140,1),(141,1),(142,1),(146,1)}
       136:{2,5}:{(127,1),(128,1),(142,1),(146,1)}
       137:{3,6}:{(128,1),(129,1),(142,1),(143,1)}
       138:{2,4}:{(130,1),(131,1),(143,1)}
       139:{2}:{(132,1)}
       140:{3,6}:{(134,1),(135,1),(144,1)}
       141:{4,7}:{(135,1),(144,1),(145,1)}
       142:{3,5}:{(136,1),(137,1),(145,1)}
       143:{3}:{(138,1)}
       144:{4,6}:{(140,1),(141,1),(146,1)}
       145:{4}:{(142,1)}
       146:{5}:{(144,1)}

 126 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(19,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(20,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(36,1),(39,1),(44,1),(47,1),(72,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(72,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(109,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(18,1),(19,1),(20,1),(27,1),(55,1)}
        10:{1,3,5}:{(4,1),(19,1),(22,1),(53,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(20,1),(23,1),(29,1),(56,1),(64,1),(93,1),(175,1)}
        12:{1,3,6}:{(5,1),(18,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(19,1),(25,1),(27,1),(53,1),(90,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(20,1),(26,1),(93,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(128,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(55,1)}
        18:{1,4,6}:{(9,1),(12,1),(31,1),(32,1),(42,1),(71,1)}
        19:{2,5}:{(9,1),(10,1),(31,1)}
        20:{2,4,7}:{(9,1),(11,1),(14,1),(32,1),(35,1),(180,1)}
        21:{1,3,5,6}:{(10,1),(33,1),(36,1),(37,1),(39,1),(72,1),(78,1),(115,1)}
        22:{1,4,5}:{(10,1),(15,1),(34,1),(36,1),(109,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(35,1),(38,1),(39,1),(75,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(31,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(32,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(35,1),(43,1),(45,1),(46,1),(75,1),(86,1),(110,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(143,1)}
        31:{1,5}:{(18,1),(19,1)}
        32:{1,4,7}:{(18,1),(20,1),(26,1),(50,1),(185,1)}
        33:{2,5,6}:{(19,1),(21,1),(48,1),(51,1),(52,1),(55,1)}
        34:{2,4,5}:{(19,1),(22,1),(27,1),(49,1),(51,1),(53,1),(90,1)}
        35:{2,5,7}:{(19,1),(20,1),(23,1),(50,1),(55,1),(176,1),(182,1)}
        36:{1,4,6}:{(21,1),(22,1),(51,1),(56,1),(124,1),(132,1)}
        37:{1,3,5,7}:{(21,1),(52,1),(56,1),(57,1),(93,1),(97,1),(131,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(54,1),(56,1),(58,1),(66,1),(97,1),(128,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(55,1),(58,1),(95,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(90,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(50,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(53,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(55,1),(63,1),(65,1),(95,1),(129,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(33,1),(67,1),(68,1),(71,1)}
        49:{1,4,5}:{(31,1),(34,1),(42,1),(67,1),(69,1)}
        50:{1,5,7}:{(31,1),(32,1),(35,1),(71,1),(181,1),(186,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(67,1),(72,1),(73,1),(106,1)}
        52:{2,5,7}:{(33,1),(37,1),(68,1),(73,1),(74,1)}
        53:{3,5}:{(34,1),(44,1),(72,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(38,1),(45,1),(70,1),(73,1),(75,1),(76,1),(86,1),(110,1),(114,1),(123,1),(146,1),(152,1),(164,1)}
        55:{2,6}:{(35,1),(39,1),(71,1)}
        56:{1,4,7}:{(36,1),(37,1),(73,1),(140,1),(146,1)}
        57:{1,3,6,7}:{(37,1),(39,1),(74,1),(77,1),(113,1),(177,1)}
        58:{1,4,6}:{(38,1),(39,1),(76,1),(78,1),(143,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(110,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(69,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(71,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(75,1),(85,1),(146,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(51,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(52,1),(88,1),(89,1)}
        69:{1,3,5}:{(49,1),(53,1),(61,1),(87,1),(90,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(54,1),(62,1),(88,1),(91,1),(92,1),(104,1),(127,1),(139,1),(155,1)}
        71:{1,6}:{(50,1),(55,1)}
        72:{3,6}:{(51,1),(53,1),(93,1)}
        73:{2,4,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(125,1)}
        74:{2,6,7}:{(52,1),(55,1),(57,1),(89,1),(182,1)}
        75:{3,5,7}:{(53,1),(54,1),(64,1),(93,1),(95,1),(105,1),(162,1),(172,1)}
        76:{2,4,6}:{(54,1),(55,1),(58,1),(92,1),(95,1),(96,1),(129,1),(132,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(58,1),(94,1),(97,1),(153,1),(171,1)}
        78:{1,5,6}:{(58,1),(66,1),(96,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(129,1)}
        82:{2,4}:{(61,1),(90,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(91,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(95,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(72,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(73,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(74,1),(186,1)}
        90:{2,5}:{(69,1),(82,1),(106,1),(109,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(75,1),(83,1),(107,1),(110,1),(111,1),(122,1)}
        92:{1,4,6}:{(70,1),(71,1),(76,1),(111,1),(112,1)}
        93:{3,7}:{(72,1),(73,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(77,1),(108,1),(113,1),(114,1),(141,1),(146,1),(164,1)}
        95:{3,6}:{(75,1),(76,1)}
        96:{2,5,6}:{(76,1),(78,1),(86,1),(112,1),(114,1),(115,1)}
        97:{1,5,7}:{(77,1),(78,1),(114,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(109,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(110,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(111,1),(118,1),(121,1),(122,1),(145,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(90,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(93,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(92,1),(94,1),(126,1),(127,1),(155,1)}
       109:{1,5}:{(90,1),(101,1),(124,1)}
       110:{2,5,7}:{(90,1),(91,1),(102,1),(125,1),(128,1),(129,1),(138,1)}
       111:{1,3,6}:{(91,1),(92,1),(95,1),(129,1)}
       112:{1,5,6}:{(92,1),(96,1),(104,1),(127,1)}
       113:{3,6,7}:{(93,1),(94,1),(95,1),(131,1),(172,1)}
       114:{2,5,7}:{(94,1),(96,1),(97,1),(127,1),(131,1)}
       115:{3,5,6}:{(95,1),(96,1),(105,1),(131,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(128,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(129,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(109,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(111,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(112,1),(114,1)}
       128:{1,5,7}:{(109,1),(110,1),(120,1),(140,1),(143,1),(151,1)}
       129:{2,6}:{(110,1),(111,1),(143,1)}
       130:{1,3,5,6}:{(111,1),(112,1),(115,1),(122,1),(142,1),(144,1),(145,1),(166,1)}
       131:{3,5,7}:{(113,1),(114,1),(115,1),(146,1)}
       132:{4,6}:{(115,1),(123,1),(146,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(143,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(145,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(129,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(130,1),(131,1),(154,1),(155,1),(172,1)}
       143:{1,6}:{(128,1),(129,1)}
       144:{2,5,6}:{(129,1),(130,1),(138,1),(154,1),(156,1),(157,1)}
       145:{1,4,6}:{(130,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       146:{4,7}:{(131,1),(132,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(143,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(144,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(145,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(143,1),(144,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(144,1),(145,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 127 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(10,1),(16,1),(174,1)}
         1:{1,3,7}:{(0,1),(5,1),(7,1),(166,1),(179,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(8,1),(9,1),(20,1),(142,1),(167,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(21,1),(31,1),(32,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(16,1),(47,1),(84,1),(124,1),(175,1)}
         5:{2,3,7}:{(1,1),(10,1),(13,1),(15,1),(124,1),(154,1),(184,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1),(114,1),(125,1),(157,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(18,1),(155,1)}
         8:{1,2,6}:{(2,1),(17,1),(36,1)}
         9:{1,2,5}:{(3,1),(18,1),(37,1),(50,1),(159,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(20,1),(22,1),(23,1),(24,1),(54,1),(170,1),(177,1)}
        12:{1,3,4,6}:{(4,1),(7,1),(21,1),(23,1),(24,1),(31,1),(32,1),(62,1),(69,1),(71,1),(104,1)}
        13:{1,3,7}:{(5,1),(19,1),(25,1),(27,1),(187,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(26,1),(28,1),(29,1),(30,1),(54,1),(70,1),(93,1),(105,1),(144,1)}
        15:{2,3,6}:{(5,1),(7,1),(21,1),(27,1),(30,1),(104,1),(139,1)}
        16:{1,4,7}:{(6,1),(28,1),(31,1),(32,1),(168,1)}
        17:{1,3,6}:{(6,1),(8,1),(29,1),(31,1),(133,1)}
        18:{1,3,5}:{(7,1),(9,1),(30,1),(32,1),(140,1),(146,1)}
        19:{1,4,7}:{(10,1),(13,1),(33,1),(34,1),(185,1)}
        20:{2,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(176,1),(182,1)}
        21:{2,4,6}:{(10,1),(12,1),(15,1),(34,1),(36,1),(37,1),(49,1)}
        22:{1,4,5,7}:{(11,1),(16,1),(35,1),(38,1),(41,1),(50,1),(83,1),(84,1),(114,1),(160,1),(171,1)}
        23:{1,3,6}:{(11,1),(36,1),(38,1),(77,1)}
        24:{1,3,5}:{(12,1),(37,1),(41,1),(50,1),(82,1),(92,1)}
        25:{1,2,7}:{(13,1),(43,1),(154,1),(188,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(33,1),(42,1),(44,1),(45,1),(46,1),(85,1),(90,1),(127,1)}
        27:{1,3,6}:{(13,1),(15,1),(34,1),(43,1),(46,1)}
        28:{2,4,7}:{(14,1),(16,1),(44,1),(47,1),(48,1),(49,1),(158,1)}
        29:{2,3,6}:{(14,1),(17,1),(36,1),(45,1),(48,1),(77,1),(115,1)}
        30:{2,3,5}:{(15,1),(18,1),(37,1),(46,1),(49,1),(82,1),(121,1),(128,1)}
        31:{1,4,6}:{(16,1),(17,1),(48,1),(50,1)}
        32:{1,4}:{(18,1),(49,1)}
        33:{1,5,7}:{(19,1),(20,1),(52,1),(53,1),(181,1),(186,1)}
        34:{1,4,6}:{(19,1),(21,1),(27,1),(52,1),(53,1),(68,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(28,1),(51,1),(54,1),(55,1),(58,1),(70,1),(93,1),(102,1),(103,1),(113,1),(141,1),(148,1),(164,1)}
        36:{2,6}:{(20,1),(23,1),(52,1)}
        37:{2,5}:{(21,1),(24,1),(53,1)}
        38:{1,4,6}:{(22,1),(23,1),(55,1),(60,1),(133,1)}
        39:{1,3,6,7}:{(23,1),(56,1),(59,1),(61,1),(100,1),(177,1)}
        40:{1,3,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1),(62,1),(101,1),(104,1)}
        41:{1,4,5}:{(24,1),(32,1),(58,1),(62,1),(113,1),(140,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(63,1),(64,1),(65,1),(93,1),(107,1)}
        43:{1,2,6}:{(25,1),(27,1),(65,1),(139,1)}
        44:{1,4,7}:{(26,1),(28,1),(67,1),(68,1),(145,1)}
        45:{1,3,6}:{(26,1),(29,1),(52,1),(64,1),(67,1)}
        46:{1,3,5}:{(27,1),(30,1),(53,1),(65,1),(68,1),(108,1)}
        47:{3,4,7}:{(28,1),(54,1),(69,1),(71,1),(141,1),(169,1)}
        48:{2,4,6}:{(28,1),(29,1),(31,1),(67,1),(69,1),(70,1)}
        49:{2,4}:{(30,1),(32,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(76,1),(90,1),(118,1),(119,1),(131,1),(153,1)}
        52:{1,6}:{(33,1),(36,1)}
        53:{1,5}:{(34,1),(37,1)}
        54:{3,5,7}:{(35,1),(47,1),(77,1),(82,1),(92,1),(124,1),(161,1),(173,1)}
        55:{2,4,6}:{(35,1),(36,1),(38,1),(73,1),(77,1),(79,1),(115,1),(123,1)}
        56:{2,6,7}:{(36,1),(39,1),(74,1),(80,1),(182,1)}
        57:{2,5,6}:{(36,1),(37,1),(40,1),(75,1),(80,1),(81,1)}
        58:{2,4,5}:{(37,1),(41,1),(49,1),(76,1),(81,1),(82,1),(121,1)}
        59:{1,4,6,7}:{(38,1),(39,1),(78,1),(83,1),(84,1),(149,1),(171,1)}
        60:{1,5,6}:{(38,1),(50,1),(79,1),(83,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(80,1),(83,1),(84,1),(122,1),(124,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(84,1),(123,1),(155,1)}
        63:{1,2,4,7}:{(42,1),(44,1),(85,1),(86,1),(87,1),(88,1)}
        64:{1,2,6}:{(42,1),(45,1),(115,1)}
        65:{1,2,5}:{(43,1),(46,1),(87,1),(121,1)}
        66:{1,3,4,7}:{(44,1),(47,1),(72,1),(85,1),(88,1),(89,1),(91,1),(153,1),(173,1)}
        67:{1,4,6}:{(44,1),(45,1),(48,1),(90,1)}
        68:{1,4}:{(46,1),(49,1)}
        69:{3,4,6}:{(47,1),(48,1),(77,1),(92,1),(123,1)}
        70:{2,5}:{(48,1),(50,1),(90,1),(92,1)}
        71:{3,4}:{(49,1),(82,1)}
        72:{1,3,5,7}:{(51,1),(54,1),(66,1),(93,1),(94,1),(99,1),(111,1),(138,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1),(94,1),(96,1)}
        74:{1,6,7}:{(52,1),(56,1),(97,1),(186,1)}
        75:{1,5,6}:{(52,1),(53,1),(57,1),(97,1),(98,1)}
        76:{1,4,5}:{(53,1),(58,1),(68,1),(98,1),(99,1)}
        77:{3,6}:{(54,1),(55,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(59,1),(95,1),(100,1),(102,1),(103,1),(134,1),(141,1),(164,1)}
        79:{2,5,6}:{(55,1),(60,1),(70,1),(96,1),(101,1),(102,1)}
        80:{2,5,7}:{(56,1),(57,1),(61,1),(97,1),(103,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(103,1),(104,1),(139,1)}
        82:{3,5}:{(58,1),(71,1),(104,1)}
        83:{1,5,7}:{(59,1),(60,1),(102,1)}
        84:{1,4,7}:{(61,1),(62,1),(103,1),(141,1),(166,1)}
        85:{1,3,7}:{(63,1),(105,1),(106,1),(108,1),(186,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(67,1),(106,1),(107,1),(110,1),(145,1)}
        87:{1,2,4}:{(65,1),(68,1),(108,1),(112,1)}
        88:{2,4,7}:{(66,1),(93,1),(105,1),(109,1),(110,1),(112,1)}
        89:{1,3,4,6}:{(66,1),(67,1),(69,1),(94,1),(106,1),(110,1),(111,1),(137,1),(145,1),(165,1),(169,1)}
        90:{1,5}:{(67,1),(70,1)}
        91:{1,3,4}:{(68,1),(71,1),(99,1),(108,1),(112,1)}
        92:{3,5}:{(69,1),(70,1),(113,1)}
        93:{2,5,7}:{(72,1),(88,1),(114,1),(115,1),(121,1),(130,1),(154,1)}
        94:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
        95:{1,4,6,7}:{(73,1),(74,1),(78,1),(116,1),(118,1),(119,1),(153,1)}
        96:{1,5,6}:{(73,1),(79,1),(90,1),(118,1)}
        97:{1,5,7}:{(74,1),(75,1),(80,1),(119,1)}
        98:{1,4,6}:{(75,1),(76,1),(81,1),(119,1),(120,1)}
        99:{1,3,5}:{(76,1),(82,1),(91,1),(120,1),(121,1)}
       100:{3,6,7}:{(77,1),(78,1),(122,1),(124,1),(173,1)}
       101:{3,5,6}:{(77,1),(79,1),(92,1),(122,1),(123,1)}
       102:{2,5,7}:{(78,1),(79,1),(83,1),(118,1),(122,1)}
       103:{2,4,7}:{(80,1),(81,1),(84,1),(119,1),(124,1),(154,1)}
       104:{3,6}:{(81,1),(82,1),(124,1)}
       105:{2,3,7}:{(85,1),(88,1),(125,1),(126,1),(128,1),(173,1),(182,1)}
       106:{1,3,6}:{(85,1),(86,1),(126,1),(127,1),(183,1)}
       107:{1,2,5}:{(86,1),(90,1),(127,1),(130,1),(188,1)}
       108:{1,3}:{(87,1),(128,1)}
       109:{1,4,7}:{(88,1),(114,1),(125,1),(129,1),(132,1)}
       110:{2,4,6}:{(88,1),(89,1),(115,1),(126,1),(129,1),(130,1),(158,1)}
       111:{1,3,5}:{(89,1),(90,1),(92,1),(130,1),(131,1),(161,1)}
       112:{2,4}:{(91,1),(121,1),(128,1),(132,1)}
       113:{4,5}:{(92,1),(123,1)}
       114:{1,5,7}:{(93,1),(109,1),(133,1),(140,1),(147,1),(166,1)}
       115:{2,6}:{(93,1),(94,1),(133,1)}
       116:{1,3,6,7}:{(94,1),(95,1),(100,1),(134,1),(136,1),(138,1)}
       117:{1,3,5,6}:{(94,1),(96,1),(101,1),(111,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,5,7}:{(95,1),(96,1),(102,1)}
       119:{1,4,7}:{(97,1),(98,1),(103,1),(138,1)}
       120:{1,3,6}:{(98,1),(99,1),(104,1),(138,1),(139,1)}
       121:{2,5}:{(99,1),(112,1),(139,1),(140,1)}
       122:{3,5,7}:{(100,1),(101,1),(102,1),(141,1)}
       123:{4,6}:{(101,1),(113,1),(141,1)}
       124:{3,7}:{(103,1),(104,1)}
       125:{1,3,7}:{(105,1),(109,1),(142,1),(143,1),(146,1)}
       126:{2,3,6}:{(105,1),(106,1),(110,1),(143,1),(144,1),(165,1),(178,1)}
       127:{1,3,5}:{(106,1),(107,1),(144,1),(145,1),(181,1),(187,1)}
       128:{2,3}:{(108,1),(112,1),(146,1)}
       129:{1,4,6}:{(109,1),(110,1),(133,1),(143,1),(147,1),(168,1)}
       130:{2,5}:{(110,1),(111,1),(147,1)}
       131:{1,4,5}:{(111,1),(113,1),(137,1),(145,1),(148,1),(181,1)}
       132:{1,4}:{(112,1),(140,1),(146,1)}
       133:{1,6}:{(114,1),(115,1)}
       134:{2,6,7}:{(115,1),(116,1),(149,1),(151,1),(154,1)}
       135:{2,5,6}:{(115,1),(117,1),(130,1),(150,1),(151,1),(152,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(151,1),(153,1),(173,1)}
       137:{1,4,6}:{(117,1),(123,1),(131,1),(152,1),(153,1),(183,1)}
       138:{1,3,7}:{(119,1),(120,1),(124,1),(154,1)}
       139:{2,6}:{(120,1),(121,1),(154,1),(155,1)}
       140:{1,5}:{(121,1),(132,1),(155,1)}
       141:{4,7}:{(122,1),(123,1)}
       142:{1,2,7}:{(125,1),(156,1),(159,1),(182,1)}
       143:{1,3,6}:{(125,1),(126,1),(129,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(130,1),(157,1),(158,1),(161,1),(176,1),(184,1)}
       145:{1,4}:{(127,1),(158,1)}
       146:{1,3}:{(128,1),(132,1),(159,1)}
       147:{1,5}:{(129,1),(130,1)}
       148:{2,4,5}:{(130,1),(131,1),(152,1),(158,1),(160,1),(161,1),(176,1)}
       149:{1,6,7}:{(133,1),(134,1),(162,1),(166,1)}
       150:{1,5,6}:{(133,1),(135,1),(147,1),(162,1),(163,1)}
       151:{2,5,7}:{(134,1),(135,1),(136,1),(162,1),(164,1)}
       152:{2,4,6}:{(135,1),(137,1),(148,1),(163,1),(164,1),(165,1),(178,1)}
       153:{1,4,7}:{(136,1),(137,1),(141,1),(164,1),(186,1)}
       154:{2,7}:{(138,1),(139,1),(166,1)}
       155:{1,6}:{(139,1),(140,1),(166,1)}
       156:{1,2,6}:{(142,1),(143,1),(167,1),(178,1)}
       157:{1,3,5}:{(143,1),(144,1),(147,1),(167,1),(168,1),(179,1)}
       158:{2,4}:{(144,1),(145,1),(168,1),(169,1)}
       159:{1,2}:{(146,1)}
       160:{1,4,5}:{(147,1),(148,1),(163,1),(168,1),(170,1)}
       161:{3,5}:{(148,1),(165,1),(169,1)}
       162:{1,5,7}:{(149,1),(150,1),(151,1),(171,1)}
       163:{1,4,6}:{(150,1),(152,1),(160,1),(171,1),(172,1)}
       164:{2,4,7}:{(151,1),(152,1),(153,1),(171,1),(173,1),(182,1)}
       165:{3,6}:{(152,1),(161,1),(173,1)}
       166:{1,7}:{(154,1),(155,1)}
       167:{1,2,5}:{(156,1),(157,1),(174,1),(176,1)}
       168:{1,4}:{(157,1),(158,1)}
       169:{3,4}:{(158,1),(161,1)}
       170:{1,3,5}:{(160,1),(161,1),(172,1),(175,1),(176,1)}
       171:{1,4,7}:{(162,1),(163,1),(164,1),(177,1)}
       172:{1,3,6}:{(163,1),(165,1),(170,1),(177,1),(178,1)}
       173:{3,7}:{(164,1),(165,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(172,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 128 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(17,1),(41,1),(120,1),(155,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(28,1),(31,1),(98,1),(101,1),(140,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(167,1)}
         3:{1,2,6}:{(0,1),(6,1),(64,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(15,1),(37,1),(40,1),(41,1),(50,1),(74,1),(77,1),(122,1)}
         5:{1,4,7}:{(1,1),(10,1),(14,1),(51,1),(156,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(124,1)}
         7:{1,3,7}:{(2,1),(15,1),(16,1),(176,1),(181,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(46,1),(51,1)}
         9:{1,3,5,7}:{(4,1),(18,1),(19,1),(20,1),(29,1),(52,1),(58,1),(63,1),(72,1),(100,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(73,1),(141,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(23,1),(59,1),(64,1),(102,1)}
        12:{1,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(28,1),(67,1),(70,1),(101,1),(115,1),(147,1),(169,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(22,1),(24,1),(26,1),(27,1),(115,1),(151,1),(168,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(28,1)}
        15:{2,3,7}:{(7,1),(26,1),(29,1),(30,1),(151,1),(173,1),(182,1)}
        16:{1,3,6}:{(7,1),(8,1),(30,1),(31,1),(174,1)}
        17:{1,2,5}:{(8,1),(28,1),(31,1),(69,1),(175,1)}
        18:{1,2,5,7}:{(9,1),(32,1),(33,1),(48,1),(76,1),(77,1),(95,1)}
        19:{1,4,7}:{(9,1),(10,1),(36,1),(96,1),(123,1)}
        20:{1,3,6}:{(9,1),(11,1),(33,1),(36,1),(88,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(34,1),(37,1),(38,1),(40,1),(41,1),(77,1),(86,1),(87,1),(94,1),(130,1),(131,1),(134,1),(160,1)}
        22:{3,4,7}:{(10,1),(37,1),(39,1),(97,1),(131,1),(157,1)}
        23:{2,4,6}:{(10,1),(11,1),(14,1),(36,1),(39,1),(40,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(37,1),(41,1),(42,1),(47,1),(162,1),(178,1)}
        25:{1,4,6}:{(12,1),(38,1),(42,1),(44,1),(124,1)}
        26:{2,4,7}:{(13,1),(15,1),(41,1),(45,1),(46,1),(177,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(16,1),(39,1),(42,1),(46,1),(47,1),(51,1),(92,1),(97,1),(135,1)}
        28:{1,5}:{(14,1),(40,1)}
        29:{1,3,7}:{(15,1),(45,1),(48,1),(49,1),(186,1)}
        30:{2,3,6}:{(15,1),(16,1),(46,1),(49,1),(50,1),(135,1),(164,1)}
        31:{1,3,5}:{(16,1),(17,1),(50,1),(51,1),(165,1),(166,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1),(56,1),(118,1)}
        33:{1,2,6}:{(18,1),(20,1),(102,1)}
        34:{1,4,5,7}:{(19,1),(21,1),(54,1),(55,1),(58,1),(63,1),(105,1),(108,1),(116,1),(146,1),(149,1)}
        35:{1,3,4,7}:{(19,1),(22,1),(52,1),(54,1),(56,1),(57,1),(119,1),(146,1),(171,1)}
        36:{1,4,6}:{(19,1),(20,1),(23,1),(58,1)}
        37:{3,5,7}:{(21,1),(22,1),(59,1),(62,1),(117,1),(148,1),(151,1),(171,1)}
        38:{2,4,6}:{(21,1),(25,1),(55,1),(59,1),(61,1),(64,1),(102,1),(110,1)}
        39:{3,4,6}:{(22,1),(23,1),(59,1),(62,1),(110,1)}
        40:{2,5}:{(23,1),(28,1),(58,1),(62,1)}
        41:{2,5,7}:{(24,1),(26,1),(63,1),(64,1),(69,1),(172,1),(184,1)}
        42:{1,3,6}:{(24,1),(25,1),(59,1),(64,1)}
        43:{1,4,6,7}:{(25,1),(60,1),(65,1),(67,1),(115,1),(142,1),(169,1)}
        44:{1,5,6}:{(25,1),(28,1),(61,1),(67,1)}
        45:{1,4,7}:{(26,1),(29,1),(63,1),(68,1),(183,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(64,1),(68,1),(69,1),(73,1)}
        47:{1,3,5}:{(27,1),(28,1),(62,1),(69,1),(70,1),(117,1)}
        48:{1,2,7}:{(29,1),(71,1),(173,1),(188,1)}
        49:{1,3,6}:{(29,1),(30,1),(68,1),(71,1),(72,1)}
        50:{2,3,5}:{(30,1),(31,1),(69,1),(72,1),(73,1),(117,1),(152,1),(153,1)}
        51:{1,4}:{(31,1),(73,1)}
        52:{1,3,7}:{(32,1),(74,1),(75,1),(137,1),(187,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(76,1),(82,1),(123,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(37,1),(77,1),(78,1),(83,1),(136,1),(163,1)}
        55:{1,4,6}:{(34,1),(38,1),(78,1),(80,1),(88,1)}
        56:{2,4,7}:{(35,1),(74,1),(77,1),(81,1),(82,1),(138,1)}
        57:{1,3,4,6}:{(35,1),(36,1),(39,1),(75,1),(78,1),(82,1),(83,1),(123,1),(128,1),(157,1),(161,1)}
        58:{1,5}:{(36,1),(40,1)}
        59:{3,6}:{(37,1),(38,1)}
        60:{2,4,6,7}:{(38,1),(43,1),(79,1),(84,1),(86,1),(89,1),(125,1),(131,1),(134,1),(160,1)}
        61:{2,5,6}:{(38,1),(40,1),(44,1),(80,1),(85,1),(86,1)}
        62:{3,5}:{(39,1),(40,1),(87,1)}
        63:{1,5,7}:{(41,1),(45,1),(88,1),(93,1),(180,1),(187,1)}
        64:{2,6}:{(41,1),(42,1),(88,1)}
        65:{1,3,6,7}:{(42,1),(43,1),(84,1),(89,1),(91,1),(178,1)}
        66:{1,3,5,6}:{(42,1),(44,1),(47,1),(85,1),(90,1),(91,1),(92,1),(135,1)}
        67:{1,5,7}:{(43,1),(44,1),(86,1)}
        68:{1,4,6}:{(45,1),(46,1),(49,1),(88,1),(93,1),(96,1)}
        69:{2,5}:{(46,1),(47,1),(93,1)}
        70:{1,4,5}:{(47,1),(51,1),(87,1),(92,1),(94,1),(165,1)}
        71:{1,2,6}:{(48,1),(49,1),(95,1),(164,1)}
        72:{1,3,5}:{(49,1),(50,1),(93,1),(95,1),(96,1),(137,1)}
        73:{2,4}:{(50,1),(51,1),(96,1),(97,1)}
        74:{2,3,7}:{(52,1),(56,1),(98,1),(99,1),(153,1),(171,1),(184,1)}
        75:{1,3,6}:{(52,1),(53,1),(99,1),(100,1),(185,1)}
        76:{1,2,5}:{(53,1),(58,1),(100,1),(107,1),(188,1)}
        77:{2,5,7}:{(54,1),(56,1),(101,1),(102,1),(107,1),(152,1),(173,1)}
        78:{1,3,6}:{(54,1),(55,1),(59,1),(102,1)}
        79:{1,4,6,7}:{(55,1),(60,1),(103,1),(105,1),(111,1),(146,1),(149,1)}
        80:{1,5,6}:{(55,1),(58,1),(61,1),(105,1)}
        81:{1,4,7}:{(56,1),(98,1),(101,1),(106,1),(154,1)}
        82:{2,4,6}:{(56,1),(57,1),(99,1),(102,1),(106,1),(107,1),(141,1)}
        83:{1,3,5}:{(57,1),(58,1),(62,1),(107,1),(108,1),(148,1)}
        84:{3,6,7}:{(59,1),(60,1),(109,1),(151,1),(171,1)}
        85:{3,5,6}:{(59,1),(61,1),(62,1),(109,1),(110,1)}
        86:{2,5,7}:{(60,1),(61,1),(67,1),(105,1),(109,1)}
        87:{4,5}:{(62,1),(110,1)}
        88:{1,6}:{(63,1),(64,1)}
        89:{2,6,7}:{(64,1),(65,1),(111,1),(113,1),(184,1)}
        90:{2,5,6}:{(64,1),(66,1),(69,1),(112,1),(113,1),(114,1)}
        91:{1,3,5,7}:{(65,1),(66,1),(67,1),(109,1),(113,1),(115,1),(151,1)}
        92:{1,4,6}:{(66,1),(70,1),(110,1),(114,1),(115,1),(174,1)}
        93:{1,5}:{(68,1),(69,1)}
        94:{2,4,5}:{(69,1),(70,1),(73,1),(114,1),(116,1),(117,1),(152,1)}
        95:{1,2,5}:{(71,1),(72,1),(118,1),(152,1)}
        96:{1,4}:{(72,1),(73,1)}
        97:{3,4}:{(73,1),(117,1)}
        98:{1,3,7}:{(74,1),(81,1),(120,1),(121,1),(166,1)}
        99:{2,3,6}:{(74,1),(75,1),(82,1),(121,1),(122,1),(161,1),(179,1)}
       100:{1,3,5}:{(75,1),(76,1),(122,1),(123,1),(180,1),(186,1)}
       101:{1,5,7}:{(77,1),(81,1),(124,1),(129,1),(165,1),(181,1)}
       102:{2,6}:{(77,1),(78,1),(124,1)}
       103:{1,3,6,7}:{(78,1),(79,1),(84,1),(125,1),(127,1),(163,1)}
       104:{1,3,5,6}:{(78,1),(80,1),(83,1),(85,1),(126,1),(127,1),(128,1),(161,1)}
       105:{1,5,7}:{(79,1),(80,1),(86,1)}
       106:{1,4,6}:{(81,1),(82,1),(121,1),(124,1),(129,1),(156,1)}
       107:{2,5}:{(82,1),(83,1),(129,1)}
       108:{1,4,5}:{(83,1),(87,1),(123,1),(128,1),(130,1),(180,1)}
       109:{3,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       110:{4,6}:{(85,1),(87,1),(131,1)}
       111:{1,6,7}:{(88,1),(89,1),(132,1),(187,1)}
       112:{1,5,6}:{(88,1),(90,1),(93,1),(132,1),(133,1)}
       113:{2,5,7}:{(89,1),(90,1),(91,1),(132,1),(134,1)}
       114:{2,4,6}:{(90,1),(92,1),(94,1),(133,1),(134,1),(135,1),(164,1)}
       115:{1,4,7}:{(91,1),(92,1),(131,1),(134,1),(181,1)}
       116:{1,4,5}:{(93,1),(94,1),(96,1),(133,1),(136,1)}
       117:{3,5}:{(94,1),(97,1),(135,1)}
       118:{1,2,4}:{(95,1),(96,1),(137,1),(138,1)}
       119:{1,3,4}:{(96,1),(97,1),(136,1),(137,1),(138,1)}
       120:{1,2,7}:{(98,1),(139,1),(175,1),(184,1)}
       121:{1,3,6}:{(98,1),(99,1),(106,1),(139,1),(140,1)}
       122:{2,3,5}:{(99,1),(100,1),(107,1),(140,1),(141,1),(148,1),(172,1),(182,1)}
       123:{1,4}:{(100,1),(141,1)}
       124:{1,6}:{(101,1),(102,1)}
       125:{2,6,7}:{(102,1),(103,1),(142,1),(144,1),(173,1)}
       126:{2,5,6}:{(102,1),(104,1),(107,1),(143,1),(144,1),(145,1)}
       127:{1,3,5,7}:{(103,1),(104,1),(105,1),(109,1),(144,1),(146,1),(171,1)}
       128:{1,4,6}:{(104,1),(108,1),(110,1),(145,1),(146,1),(185,1)}
       129:{1,5}:{(106,1),(107,1)}
       130:{2,4,5}:{(107,1),(108,1),(141,1),(145,1),(147,1),(148,1),(172,1)}
       131:{4,7}:{(109,1),(110,1)}
       132:{1,5,7}:{(111,1),(112,1),(113,1),(149,1)}
       133:{1,4,6}:{(112,1),(114,1),(116,1),(149,1),(150,1)}
       134:{2,4,7}:{(113,1),(114,1),(115,1),(149,1),(151,1),(173,1)}
       135:{3,6}:{(114,1),(117,1),(151,1)}
       136:{1,3,5}:{(116,1),(117,1),(119,1),(150,1),(152,1)}
       137:{1,3}:{(118,1),(153,1)}
       138:{2,4}:{(119,1),(152,1),(153,1),(154,1)}
       139:{1,2,6}:{(120,1),(121,1),(155,1),(179,1)}
       140:{1,3,5}:{(121,1),(122,1),(129,1),(155,1),(156,1),(176,1)}
       141:{2,4}:{(122,1),(123,1),(156,1),(157,1)}
       142:{1,6,7}:{(124,1),(125,1),(158,1),(181,1)}
       143:{1,5,6}:{(124,1),(126,1),(129,1),(158,1),(159,1)}
       144:{2,5,7}:{(125,1),(126,1),(127,1),(158,1),(160,1)}
       145:{2,4,6}:{(126,1),(128,1),(130,1),(159,1),(160,1),(161,1),(179,1)}
       146:{1,4,7}:{(127,1),(128,1),(131,1),(160,1),(187,1)}
       147:{1,4,5}:{(129,1),(130,1),(156,1),(159,1),(162,1)}
       148:{3,5}:{(130,1),(157,1),(161,1)}
       149:{1,4,7}:{(132,1),(133,1),(134,1),(163,1)}
       150:{1,3,6}:{(133,1),(135,1),(136,1),(163,1),(164,1)}
       151:{3,7}:{(134,1),(135,1)}
       152:{2,5}:{(136,1),(138,1),(164,1),(165,1)}
       153:{2,3}:{(137,1),(138,1),(166,1)}
       154:{1,4}:{(138,1),(165,1),(166,1)}
       155:{1,2,5}:{(139,1),(140,1),(167,1),(172,1)}
       156:{1,4}:{(140,1),(141,1)}
       157:{3,4}:{(141,1),(148,1)}
       158:{1,5,7}:{(142,1),(143,1),(144,1),(169,1)}
       159:{1,4,6}:{(143,1),(145,1),(147,1),(169,1),(170,1)}
       160:{2,4,7}:{(144,1),(145,1),(146,1),(169,1),(171,1),(184,1)}
       161:{3,6}:{(145,1),(148,1),(171,1)}
       162:{1,3,5}:{(147,1),(148,1),(168,1),(170,1),(172,1)}
       163:{1,3,7}:{(149,1),(150,1),(151,1),(173,1)}
       164:{2,6}:{(150,1),(152,1),(173,1),(174,1)}
       165:{1,5}:{(152,1),(154,1),(174,1)}
       166:{1,3}:{(153,1),(154,1),(175,1)}
       167:{1,2,4}:{(155,1),(156,1),(176,1),(177,1)}
       168:{1,3,4}:{(156,1),(157,1),(162,1),(176,1),(177,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(178,1)}
       170:{1,3,6}:{(159,1),(161,1),(162,1),(178,1),(179,1)}
       171:{3,7}:{(160,1),(161,1)}
       172:{2,5}:{(162,1),(177,1),(179,1),(180,1)}
       173:{2,7}:{(163,1),(164,1),(181,1)}
       174:{1,6}:{(164,1),(165,1),(181,1)}
       175:{1,2}:{(166,1)}
       176:{1,3}:{(167,1),(182,1)}
       177:{2,4}:{(168,1),(172,1),(182,1),(183,1)}
       178:{1,3,7}:{(169,1),(170,1),(171,1),(184,1)}
       179:{2,6}:{(170,1),(172,1),(184,1),(185,1)}
       180:{1,5}:{(172,1),(183,1),(185,1)}
       181:{1,7}:{(173,1),(174,1)}
       182:{2,3}:{(176,1),(177,1),(186,1)}
       183:{1,4}:{(177,1),(180,1),(186,1)}
       184:{2,7}:{(178,1),(179,1),(187,1)}
       185:{1,6}:{(179,1),(180,1),(187,1)}
       186:{1,3}:{(182,1),(183,1),(188,1)}
       187:{1,7}:{(184,1),(185,1)}
       188:{1,2}:{(186,1)}

 129 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

 130 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 131 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 132 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(36,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(55,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(27,1),(56,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(76,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(36,1),(45,1),(46,1),(82,1),(83,1),(101,1),(112,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(55,1),(59,1),(62,1),(84,1),(98,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(98,1),(115,1),(119,1),(122,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(27,1),(30,1),(100,1),(115,1),(122,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(27,1),(29,1),(56,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(27,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(36,1),(65,1),(71,1),(75,1),(82,1),(103,1),(104,1),(106,1),(112,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(36,1),(37,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(37,1),(39,1),(76,1)}
        24:{2,4,7}:{(13,1),(33,1),(36,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(37,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{3,6}:{(15,1),(16,1)}
        28:{2,4,6,7}:{(16,1),(38,1),(43,1),(45,1),(77,1),(83,1),(112,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(49,1),(54,1),(86,1),(100,1),(122,1)}
        32:{2,4,6}:{(19,1),(23,1),(49,1),(51,1),(56,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(122,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{2,5,7}:{(22,1),(24,1),(55,1),(56,1),(61,1),(123,1),(134,1)}
        37:{1,3,6}:{(22,1),(23,1),(27,1),(49,1),(56,1)}
        38:{1,4,6,7}:{(23,1),(28,1),(50,1),(57,1),(59,1),(94,1),(98,1),(120,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(59,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(55,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(56,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(122,1)}
        44:{3,5,6}:{(27,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        45:{2,5,7}:{(28,1),(29,1),(59,1),(63,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(106,1),(109,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(36,1),(65,1),(67,1),(68,1),(74,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(38,1),(69,1),(71,1),(77,1),(106,1),(112,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(70,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,5,7}:{(36,1),(40,1),(76,1),(81,1),(130,1),(138,1)}
        56:{2,6}:{(36,1),(37,1),(76,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(43,1),(69,1),(77,1),(79,1),(128,1)}
        58:{1,3,5,6}:{(37,1),(39,1),(42,1),(44,1),(70,1),(78,1),(79,1),(80,1),(113,1)}
        59:{1,5,7}:{(38,1),(39,1),(45,1),(71,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(76,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(44,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(55,1),(84,1),(87,1),(88,1),(92,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(56,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(122,1)}
        70:{3,5,6}:{(49,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(59,1),(89,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{1,6}:{(55,1),(56,1)}
        77:{2,6,7}:{(56,1),(57,1),(94,1),(96,1),(134,1)}
        78:{2,5,6}:{(56,1),(58,1),(61,1),(95,1),(96,1),(97,1)}
        79:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(89,1),(96,1),(98,1),(122,1)}
        80:{1,4,6}:{(58,1),(62,1),(64,1),(90,1),(97,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(97,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(72,1),(101,1),(105,1),(107,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(76,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(75,1),(104,1),(106,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(77,1),(110,1),(138,1)}
        95:{1,5,6}:{(76,1),(78,1),(81,1),(110,1),(111,1)}
        96:{2,5,7}:{(77,1),(78,1),(79,1),(110,1),(112,1)}
        97:{2,4,6}:{(78,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        98:{1,4,7}:{(79,1),(80,1),(83,1),(106,1),(112,1),(138,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(111,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(96,1),(120,1)}
       111:{1,4,6}:{(95,1),(97,1),(99,1),(120,1),(121,1)}
       112:{2,4,7}:{(96,1),(97,1),(98,1),(120,1),(122,1),(134,1)}
       113:{3,6}:{(97,1),(100,1),(122,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(121,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{1,3,6}:{(111,1),(113,1),(114,1),(128,1),(129,1)}
       122:{3,7}:{(112,1),(113,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(121,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 133 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(24,1),(27,1),(31,1),(56,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(56,1),(87,1)}
         2:{2,4,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(17,1),(41,1)}
         3:{3,5}:{(0,1),(9,1),(12,1)}
         4:{3,4,7}:{(0,1),(10,1),(13,1),(42,1),(74,1)}
         5:{1,3,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(32,1),(100,1)}
         6:{2,3,5}:{(1,1),(9,1),(15,1),(17,1),(40,1),(73,1),(76,1)}
         7:{2,3,7}:{(1,1),(10,1),(16,1),(74,1),(101,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(30,1),(55,1)}
         9:{2,5}:{(2,1),(3,1),(19,1)}
        10:{2,4,7}:{(2,1),(4,1),(7,1),(20,1),(23,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(27,1),(56,1),(60,1),(136,1),(144,1),(146,1)}
        12:{4,5}:{(3,1),(24,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(23,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(19,1),(28,1),(30,1),(47,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(20,1),(29,1),(48,1),(113,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,4,6}:{(8,1),(14,1),(32,1),(33,1),(34,1),(45,1),(64,1),(69,1),(96,1)}
        19:{1,5}:{(8,1),(9,1),(33,1)}
        20:{1,4,7}:{(8,1),(10,1),(16,1),(34,1),(37,1)}
        21:{2,5,6}:{(9,1),(11,1),(35,1),(38,1),(39,1),(41,1),(131,1),(142,1)}
        22:{2,4,5}:{(9,1),(12,1),(17,1),(36,1),(38,1),(40,1),(73,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(9,1),(10,1),(13,1),(37,1),(41,1)}
        24:{4,6}:{(11,1),(12,1),(42,1),(140,1)}
        25:{3,5,7}:{(11,1),(39,1),(42,1),(43,1),(74,1),(75,1)}
        26:{4,5,7}:{(12,1),(13,1),(42,1),(44,1),(75,1)}
        27:{3,6}:{(13,1),(41,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(64,1)}
        31:{3,4}:{(17,1),(40,1),(140,1)}
        32:{3,6}:{(18,1),(47,1),(48,1),(61,1)}
        33:{2,5}:{(18,1),(19,1),(47,1),(109,1)}
        34:{2,4,7}:{(18,1),(20,1),(29,1),(48,1),(51,1),(81,1)}
        35:{1,5,6}:{(19,1),(21,1),(49,1),(52,1),(53,1),(55,1),(123,1),(138,1)}
        36:{1,4,5}:{(19,1),(22,1),(30,1),(50,1),(52,1),(54,1),(89,1),(108,1),(123,1)}
        37:{1,5,7}:{(19,1),(20,1),(23,1),(51,1),(55,1)}
        38:{2,4,6}:{(21,1),(22,1),(24,1),(52,1),(56,1),(57,1),(87,1)}
        39:{2,5,7}:{(21,1),(25,1),(53,1),(57,1),(58,1)}
        40:{3,5}:{(22,1),(31,1),(56,1),(129,1)}
        41:{2,6}:{(23,1),(27,1),(55,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(27,1),(58,1),(59,1),(144,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(54,1),(61,1),(62,1),(80,1),(90,1),(108,1),(129,1)}
        47:{3,5}:{(32,1),(33,1),(64,1)}
        48:{3,7}:{(32,1),(34,1)}
        49:{2,5,6}:{(33,1),(35,1),(63,1),(66,1),(67,1),(69,1),(114,1),(133,1)}
        50:{2,4,5}:{(33,1),(36,1),(45,1),(64,1),(66,1),(68,1),(73,1),(91,1),(95,1),(114,1)}
        51:{2,5,7}:{(33,1),(34,1),(37,1),(65,1),(69,1)}
        52:{1,4,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(71,1),(100,1)}
        53:{1,5,7}:{(35,1),(39,1),(67,1),(71,1),(72,1)}
        54:{1,3,5}:{(36,1),(40,1),(46,1),(68,1),(70,1),(73,1)}
        55:{1,6}:{(37,1),(41,1),(69,1)}
        56:{3,6}:{(38,1),(40,1),(74,1)}
        57:{2,4,7}:{(38,1),(39,1),(42,1),(71,1),(74,1),(101,1)}
        58:{2,6,7}:{(39,1),(41,1),(43,1),(72,1),(142,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(75,1),(145,1)}
        60:{5,6}:{(44,1),(75,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(73,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(49,1),(78,1),(79,1),(82,1),(83,1),(103,1),(109,1),(125,1),(126,1)}
        64:{4}:{(47,1)}
        65:{3,5,7}:{(47,1),(48,1),(51,1),(81,1),(82,1),(109,1)}
        66:{2,4,6}:{(49,1),(50,1),(52,1),(78,1),(83,1),(84,1),(87,1)}
        67:{2,5,7}:{(49,1),(53,1),(79,1),(84,1),(85,1)}
        68:{3,5}:{(50,1),(61,1),(80,1),(83,1)}
        69:{2,6}:{(51,1),(55,1),(82,1)}
        70:{1,3,6}:{(52,1),(54,1),(56,1),(83,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(53,1),(57,1),(84,1),(88,1),(113,1)}
        72:{1,6,7}:{(53,1),(55,1),(58,1),(85,1),(138,1)}
        73:{2,5}:{(54,1),(62,1),(87,1),(89,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{5,7}:{(59,1),(60,1),(146,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(129,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(64,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(67,1),(93,1),(94,1),(98,1),(119,1)}
        80:{3,4}:{(64,1),(68,1),(95,1)}
        81:{4,7}:{(64,1),(65,1),(96,1)}
        82:{3,6}:{(65,1),(69,1),(96,1)}
        83:{3,6}:{(66,1),(68,1),(98,1)}
        84:{2,4,7}:{(66,1),(67,1),(71,1),(93,1),(98,1),(101,1)}
        85:{2,6,7}:{(67,1),(69,1),(72,1),(94,1),(133,1)}
        86:{2,3,5}:{(68,1),(73,1),(76,1),(95,1),(97,1),(99,1),(114,1)}
        87:{2,6}:{(70,1),(73,1),(100,1),(101,1)}
        88:{1,3,7}:{(70,1),(71,1),(74,1),(98,1),(101,1)}
        89:{1,5}:{(73,1),(77,1),(100,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(109,1)}
        92:{3,4,6}:{(78,1),(80,1),(83,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(85,1),(107,1),(125,1)}
        95:{2,4}:{(80,1),(86,1),(108,1)}
        96:{4,6}:{(81,1),(82,1),(109,1)}
        97:{2,3,6}:{(83,1),(86,1),(87,1),(105,1),(110,1),(111,1)}
        98:{3,7}:{(83,1),(84,1)}
        99:{1,3,5}:{(86,1),(89,1),(90,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
       100:{1,6}:{(87,1),(89,1),(113,1)}
       101:{2,7}:{(87,1),(88,1),(113,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(97,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(98,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(96,1),(116,1),(119,1)}
       108:{1,4}:{(95,1),(99,1),(120,1),(140,1)}
       109:{5}:{(96,1)}
       110:{1,3,6}:{(97,1),(99,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(99,1),(102,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 134 :   0:{3,4,7}:{(2,1),(3,1),(4,1),(54,1),(80,1)}
         1:{2,3,7}:{(2,1),(5,1),(6,1),(80,1),(103,1)}
         2:{2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1)}
         3:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1)}
         4:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(39,1),(42,1),(67,1)}
         5:{1,3,7}:{(1,1),(7,1),(13,1),(14,1),(28,1),(115,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(67,1),(92,1)}
         7:{1,4,7}:{(2,1),(5,1),(16,1),(17,1),(18,1)}
         8:{2,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1)}
         9:{2,4,6}:{(2,1),(4,1),(6,1),(18,1),(19,1),(20,1),(27,1)}
        10:{4,5,7}:{(3,1),(21,1),(24,1),(53,1),(54,1)}
        11:{3,6}:{(3,1),(19,1),(21,1)}
        12:{3,5}:{(4,1),(20,1),(24,1)}
        13:{2,7}:{(5,1),(25,1)}
        14:{1,3,6}:{(5,1),(6,1),(18,1),(25,1),(26,1),(44,1),(104,1)}
        15:{2,3,5}:{(6,1),(20,1),(26,1),(27,1),(52,1),(79,1),(81,1)}
        16:{2,4,7}:{(7,1),(13,1),(28,1),(29,1),(30,1),(57,1)}
        17:{1,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1)}
        18:{1,4,6}:{(7,1),(9,1),(14,1),(30,1),(31,1),(32,1),(41,1)}
        19:{2,6}:{(8,1),(11,1),(31,1)}
        20:{2,5}:{(9,1),(12,1),(32,1)}
        21:{4,6}:{(10,1),(11,1),(37,1)}
        22:{3,6,7}:{(11,1),(33,1),(36,1),(38,1),(143,1)}
        23:{3,5,6}:{(11,1),(12,1),(34,1),(37,1),(38,1),(39,1),(67,1),(138,1),(143,1),(146,1)}
        24:{4,5}:{(12,1),(39,1),(146,1)}
        25:{2,6}:{(13,1),(14,1),(40,1)}
        26:{1,3,5}:{(14,1),(15,1),(32,1),(40,1),(41,1),(59,1),(68,1),(93,1),(94,1)}
        27:{2,4}:{(15,1),(41,1),(42,1)}
        28:{3,7}:{(16,1),(44,1)}
        29:{2,5,7}:{(16,1),(17,1),(43,1),(45,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(25,1),(44,1),(45,1),(46,1),(55,1),(70,1),(73,1)}
        31:{1,6}:{(17,1),(19,1),(45,1)}
        32:{1,5}:{(18,1),(20,1),(46,1)}
        33:{2,6,7}:{(19,1),(22,1),(47,1),(50,1),(140,1)}
        34:{2,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(51,1),(133,1),(140,1)}
        35:{2,4,5}:{(20,1),(24,1),(27,1),(49,1),(51,1),(52,1),(79,1),(121,1),(133,1),(142,1)}
        36:{4,6,7}:{(21,1),(22,1),(53,1),(54,1),(145,1)}
        37:{5,6}:{(21,1),(53,1)}
        38:{3,5,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(80,1)}
        39:{4,6}:{(23,1),(24,1),(54,1),(142,1)}
        40:{2,5}:{(25,1),(26,1),(55,1),(105,1)}
        41:{1,4}:{(26,1),(27,1),(55,1),(73,1)}
        42:{3,4}:{(27,1),(52,1),(142,1)}
        43:{3,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(84,1)}
        44:{3,6}:{(28,1),(30,1),(59,1),(68,1)}
        45:{2,6}:{(29,1),(31,1),(58,1)}
        46:{2,5}:{(30,1),(32,1),(59,1),(84,1)}
        47:{1,6,7}:{(31,1),(33,1),(60,1),(63,1),(136,1)}
        48:{1,5,6}:{(31,1),(32,1),(34,1),(61,1),(63,1),(64,1),(126,1),(136,1)}
        49:{1,4,5}:{(32,1),(35,1),(41,1),(62,1),(64,1),(65,1),(93,1),(111,1),(126,1)}
        50:{2,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1)}
        51:{2,4,6}:{(34,1),(35,1),(39,1),(64,1),(66,1),(67,1),(92,1)}
        52:{3,5}:{(35,1),(42,1),(67,1),(129,1)}
        53:{5,7}:{(36,1),(37,1),(146,1)}
        54:{4,7}:{(38,1),(39,1)}
        55:{2,4}:{(40,1),(41,1),(68,1)}
        56:{1,3,4}:{(41,1),(42,1),(65,1),(68,1),(69,1),(87,1),(94,1),(111,1),(129,1)}
        57:{4,7}:{(43,1),(70,1),(73,1)}
        58:{3,6}:{(43,1),(45,1),(70,1)}
        59:{3,5}:{(44,1),(46,1),(73,1)}
        60:{2,6,7}:{(45,1),(47,1),(71,1),(74,1),(131,1)}
        61:{2,5,6}:{(45,1),(46,1),(48,1),(72,1),(74,1),(75,1),(118,1),(131,1)}
        62:{2,4,5}:{(46,1),(49,1),(55,1),(73,1),(75,1),(76,1),(79,1),(96,1),(99,1),(118,1)}
        63:{1,5,7}:{(47,1),(48,1),(50,1),(74,1),(77,1)}
        64:{1,4,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(78,1),(104,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(76,1),(78,1),(79,1)}
        66:{2,4,7}:{(50,1),(51,1),(54,1),(77,1),(80,1),(103,1)}
        67:{3,6}:{(51,1),(52,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(79,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(60,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        73:{4}:{(59,1)}
        74:{2,5,7}:{(60,1),(61,1),(63,1),(85,1),(88,1)}
        75:{2,4,6}:{(61,1),(62,1),(64,1),(86,1),(88,1),(89,1),(92,1)}
        76:{3,5}:{(62,1),(68,1),(87,1),(89,1)}
        77:{1,4,7}:{(63,1),(64,1),(66,1),(88,1),(91,1),(115,1)}
        78:{1,3,6}:{(64,1),(65,1),(67,1),(89,1),(91,1),(92,1)}
        79:{2,5}:{(65,1),(69,1),(92,1),(93,1)}
        80:{3,7}:{(66,1),(67,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(129,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(74,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(72,1),(73,1),(96,1),(97,1)}
        87:{3,4}:{(73,1),(76,1),(99,1)}
        88:{2,4,7}:{(74,1),(75,1),(77,1),(97,1),(100,1),(103,1)}
        89:{3,6}:{(75,1),(76,1),(100,1)}
        90:{2,3,5}:{(76,1),(79,1),(81,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3,7}:{(77,1),(78,1),(80,1),(100,1),(103,1)}
        92:{2,6}:{(78,1),(79,1),(103,1),(104,1)}
        93:{1,5}:{(79,1),(82,1),(104,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(93,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2,7}:{(91,1),(92,1),(115,1)}
       104:{1,6}:{(92,1),(93,1),(115,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(103,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(105,1),(121,1),(123,1)}
       115:{1,7}:{(103,1),(104,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 135 :  0:{4,5}:{(3,1),(4,1)}
        1:{3,4}:{(3,1),(5,1)}
        2:{2,3}:{(5,1),(6,1)}
        3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
        4:{4,6}:{(0,1),(8,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(7,1),(11,1)}
        6:{1,3}:{(2,1),(11,1),(12,1),(22,1)}
        7:{2,5}:{(3,1),(5,1),(13,1),(14,1)}
        8:{3,6}:{(3,1),(4,1),(14,1),(15,1)}
        9:{5,6}:{(4,1),(16,1)}
       10:{4,7}:{(4,1),(15,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(13,1),(17,1)}
       12:{2}:{(6,1)}
       13:{1,5}:{(7,1),(11,1),(18,1),(19,1)}
       14:{2,6}:{(7,1),(8,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(10,1),(20,1)}
       16:{5,7}:{(9,1),(10,1),(21,1)}
       17:{2,4}:{(11,1),(12,1),(18,1),(22,1),(26,1)}
       18:{2,5}:{(13,1),(17,1),(23,1),(24,1)}
       19:{1,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,7}:{(14,1),(15,1),(25,1)}
       21:{6,7}:{(16,1)}
       22:{3}:{(17,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 136 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(12,1),(20,1),(39,1),(46,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(28,1),(32,1),(60,1),(67,1),(68,1)}
         2:{2,4}:{(0,1),(6,1),(8,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(61,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(13,1),(20,1),(39,1),(52,1),(106,1),(129,1),(140,1)}
         5:{2,5}:{(1,1),(14,1),(15,1),(86,1)}
         6:{1,4}:{(1,1),(2,1),(14,1),(87,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(17,1),(18,1),(47,1),(81,1)}
         8:{3,4}:{(2,1),(12,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(18,1),(21,1),(44,1),(82,1)}
        11:{1,4,5}:{(4,1),(6,1),(22,1),(23,1),(24,1),(32,1),(60,1),(91,1),(120,1)}
        12:{3,5}:{(4,1),(8,1),(25,1),(118,1)}
        13:{2,4,6}:{(4,1),(24,1),(25,1),(26,1),(27,1),(61,1),(64,1)}
        14:{2,4}:{(5,1),(6,1),(28,1)}
        15:{2,6}:{(5,1),(7,1),(30,1)}
        16:{1,3,4}:{(6,1),(8,1),(23,1),(28,1),(31,1),(55,1),(67,1),(91,1),(118,1)}
        17:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(32,1),(33,1),(71,1)}
        18:{1,3,7}:{(7,1),(10,1),(30,1),(33,1),(69,1),(101,1)}
        19:{3,4,6}:{(8,1),(9,1),(25,1),(34,1),(35,1),(64,1),(73,1)}
        20:{2,5}:{(9,1),(32,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(33,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(14,1),(37,1),(38,1),(39,1),(48,1),(74,1),(87,1),(108,1),(110,1)}
        23:{1,3,5}:{(11,1),(12,1),(16,1),(37,1),(39,1),(40,1)}
        24:{1,4,6}:{(11,1),(13,1),(38,1),(40,1),(41,1),(42,1),(81,1)}
        25:{3,6}:{(12,1),(13,1),(44,1)}
        26:{2,5,6}:{(13,1),(20,1),(41,1),(43,1),(45,1),(54,1),(129,1),(142,1)}
        27:{2,4,7}:{(13,1),(42,1),(44,1),(45,1),(82,1),(84,1)}
        28:{3}:{(14,1)}
        29:{2,4,6}:{(14,1),(15,1),(17,1),(47,1),(48,1),(49,1),(87,1),(89,1),(117,1)}
        30:{2,7}:{(15,1),(18,1)}
        31:{2,4}:{(16,1),(39,1),(46,1),(50,1),(86,1)}
        32:{1,5}:{(17,1),(20,1),(48,1)}
        33:{1,4,7}:{(17,1),(18,1),(21,1),(49,1),(51,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(44,1),(53,1),(84,1)}
        36:{2,5,7}:{(20,1),(21,1),(51,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(28,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(24,1),(57,1),(58,1),(59,1),(61,1),(98,1)}
        39:{2,5}:{(23,1),(31,1),(60,1),(61,1)}
        40:{1,3,6}:{(23,1),(24,1),(25,1),(57,1),(61,1),(62,1)}
        41:{1,5,6}:{(24,1),(26,1),(32,1),(58,1),(63,1),(71,1),(120,1),(138,1)}
        42:{1,4,7}:{(24,1),(27,1),(59,1),(62,1),(63,1),(101,1)}
        43:{3,5,6}:{(25,1),(26,1),(34,1),(64,1),(65,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        44:{3,7}:{(25,1),(27,1)}
        45:{2,5,7}:{(26,1),(27,1),(63,1),(65,1),(66,1)}
        46:{2,3}:{(28,1),(31,1),(67,1),(118,1)}
        47:{3,6}:{(28,1),(29,1),(68,1),(69,1)}
        48:{2,5}:{(29,1),(32,1),(68,1),(127,1)}
        49:{2,4,7}:{(29,1),(30,1),(33,1),(69,1),(70,1),(103,1)}
        50:{1,4}:{(31,1),(60,1),(67,1)}
        51:{1,5,7}:{(32,1),(33,1),(36,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(64,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(71,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(87,1)}
        56:{2,3,5}:{(37,1),(39,1),(46,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(48,1),(78,1),(80,1),(89,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(42,1),(79,1),(80,1),(82,1),(114,1)}
        60:{1,5}:{(39,1),(50,1),(81,1)}
        61:{2,6}:{(39,1),(40,1),(81,1),(82,1)}
        62:{1,3,7}:{(40,1),(42,1),(44,1),(79,1),(82,1)}
        63:{1,5,7}:{(41,1),(42,1),(45,1),(80,1),(83,1)}
        64:{4,6}:{(43,1),(52,1),(84,1),(140,1)}
        65:{3,5,7}:{(43,1),(44,1),(45,1),(84,1),(85,1),(116,1)}
        66:{2,6,7}:{(45,1),(54,1),(83,1),(85,1),(142,1)}
        67:{1,3}:{(46,1),(50,1),(86,1)}
        68:{3,5}:{(47,1),(48,1),(87,1)}
        69:{3,7}:{(47,1),(49,1)}
        70:{2,5,7}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        71:{1,6}:{(51,1),(54,1),(89,1)}
        72:{4,5,7}:{(52,1),(53,1),(84,1),(90,1),(116,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(67,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(61,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(68,1),(93,1),(98,1),(99,1),(104,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(63,1),(99,1),(100,1)}
        81:{1,6}:{(60,1),(61,1),(101,1)}
        82:{2,7}:{(61,1),(62,1),(101,1)}
        83:{1,6,7}:{(63,1),(66,1),(71,1),(100,1),(138,1)}
        84:{4,7}:{(64,1),(65,1)}
        85:{3,6,7}:{(65,1),(66,1),(73,1),(102,1),(144,1)}
        86:{2}:{(67,1)}
        87:{4}:{(68,1)}
        88:{3,5,7}:{(68,1),(69,1),(70,1),(103,1),(104,1),(127,1)}
        89:{2,6}:{(70,1),(71,1),(104,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(86,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(81,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(82,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(87,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(83,1),(89,1),(115,1),(132,1)}
       101:{1,7}:{(81,1),(82,1)}
       102:{4,6,7}:{(84,1),(85,1),(90,1),(116,1),(145,1)}
       103:{4,7}:{(87,1),(88,1),(117,1)}
       104:{3,6}:{(88,1),(89,1),(117,1)}
       105:{5,6}:{(90,1),(116,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(101,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(104,1),(124,1),(126,1)}
       116:{5,7}:{(102,1),(105,1),(146,1)}
       117:{4,6}:{(103,1),(104,1),(127,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{5}:{(117,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 137 :   0:{1,2,4}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(5,1),(6,1),(15,1),(99,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1),(11,1),(32,1)}
         4:{2,3}:{(1,1),(7,1),(9,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(35,1),(83,1),(90,1)}
         6:{1,2,6}:{(2,1),(12,1),(13,1),(26,1)}
         7:{2,4}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,3,5}:{(3,1),(15,1),(16,1),(17,1),(39,1)}
         9:{1,3}:{(4,1),(14,1),(18,1)}
        10:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(39,1),(50,1),(69,1),(77,1)}
        11:{1,4}:{(5,1),(20,1)}
        12:{1,3,6}:{(5,1),(6,1),(21,1),(22,1),(23,1),(94,1)}
        13:{1,2,7}:{(6,1),(23,1),(41,1)}
        14:{1,4}:{(7,1),(9,1),(24,1)}
        15:{2,5}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,4,5}:{(8,1),(11,1),(25,1),(27,1),(35,1),(83,1)}
        17:{1,3,6}:{(8,1),(26,1),(27,1),(28,1),(56,1)}
        18:{1,2}:{(9,1)}
        19:{1,3,5}:{(9,1),(10,1),(24,1),(29,1),(30,1),(31,1),(60,1),(63,1)}
        20:{2,4}:{(10,1),(11,1),(30,1),(32,1)}
        21:{2,3,6}:{(10,1),(12,1),(26,1),(31,1),(33,1),(34,1),(56,1),(84,1)}
        22:{1,4,6}:{(11,1),(12,1),(33,1),(35,1),(36,1),(68,1)}
        23:{1,3,7}:{(12,1),(13,1),(34,1),(36,1),(101,1)}
        24:{1,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(15,1),(16,1),(20,1),(37,1),(39,1),(40,1),(50,1),(69,1),(80,1)}
        26:{2,6}:{(15,1),(17,1),(38,1),(41,1)}
        27:{1,4,6}:{(16,1),(17,1),(40,1),(42,1),(43,1),(94,1)}
        28:{1,3,7}:{(17,1),(41,1),(43,1),(74,1)}
        29:{1,2,5}:{(18,1),(19,1),(44,1),(45,1),(69,1)}
        30:{1,4}:{(19,1),(20,1)}
        31:{1,3,6}:{(19,1),(21,1),(38,1),(45,1),(47,1),(48,1)}
        32:{3,4}:{(20,1),(39,1)}
        33:{2,4,6}:{(20,1),(21,1),(22,1),(47,1),(49,1),(50,1),(51,1),(82,1)}
        34:{2,3,7}:{(21,1),(23,1),(41,1),(48,1),(51,1),(74,1),(95,1)}
        35:{1,5}:{(22,1),(50,1)}
        36:{1,4,7}:{(22,1),(23,1),(51,1),(52,1)}
        37:{1,4,5}:{(24,1),(25,1),(30,1),(53,1),(54,1),(63,1)}
        38:{1,6}:{(24,1),(26,1),(55,1)}
        39:{3,5}:{(25,1),(32,1),(56,1)}
        40:{2,4,6}:{(25,1),(26,1),(27,1),(54,1),(56,1),(57,1),(58,1),(84,1),(87,1)}
        41:{2,7}:{(26,1),(28,1),(55,1)}
        42:{1,5,6}:{(27,1),(35,1),(57,1),(59,1),(68,1)}
        43:{1,4,7}:{(27,1),(28,1),(58,1),(59,1),(101,1)}
        44:{1,2,4}:{(29,1),(30,1),(60,1),(62,1)}
        45:{1,2,6}:{(29,1),(31,1),(61,1),(84,1)}
        46:{1,3,4}:{(30,1),(32,1),(53,1),(60,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(33,1),(63,1),(64,1),(91,1)}
        48:{1,3,7}:{(31,1),(34,1),(55,1),(61,1),(64,1)}
        49:{3,4,6}:{(32,1),(33,1),(56,1),(65,1),(66,1),(87,1),(93,1)}
        50:{2,5}:{(33,1),(35,1),(63,1),(65,1)}
        51:{2,4,7}:{(33,1),(34,1),(36,1),(64,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{1,3,5}:{(37,1),(39,1),(46,1),(69,1),(70,1)}
        54:{1,4,6}:{(37,1),(38,1),(40,1),(70,1),(71,1),(72,1)}
        55:{1,7}:{(38,1),(41,1)}
        56:{3,6}:{(39,1),(40,1),(74,1)}
        57:{2,5,6}:{(40,1),(42,1),(50,1),(71,1),(73,1),(75,1),(82,1)}
        58:{2,4,7}:{(40,1),(41,1),(43,1),(72,1),(74,1),(75,1),(95,1),(97,1)}
        59:{1,5,7}:{(42,1),(43,1),(75,1),(76,1)}
        60:{1,3}:{(44,1),(77,1)}
        61:{1,2,7}:{(45,1),(48,1),(95,1)}
        62:{2,4}:{(46,1),(69,1),(77,1),(78,1)}
        63:{1,5}:{(47,1),(50,1)}
        64:{1,4,7}:{(47,1),(48,1),(51,1),(79,1)}
        65:{3,5}:{(49,1),(50,1),(80,1)}
        66:{3,4,7}:{(49,1),(51,1),(74,1),(81,1),(97,1)}
        67:{2,5,7}:{(50,1),(51,1),(52,1),(79,1),(81,1),(82,1)}
        68:{1,6}:{(52,1),(82,1)}
        69:{2,5}:{(53,1),(62,1),(83,1),(84,1)}
        70:{1,3,6}:{(53,1),(54,1),(56,1),(84,1),(85,1)}
        71:{1,5,6}:{(54,1),(57,1),(63,1),(86,1),(91,1)}
        72:{1,4,7}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        73:{3,5,6}:{(56,1),(57,1),(65,1),(87,1),(88,1),(93,1),(103,1)}
        74:{3,7}:{(56,1),(58,1)}
        75:{2,5,7}:{(57,1),(58,1),(59,1),(86,1),(88,1),(89,1)}
        76:{1,6,7}:{(59,1),(68,1),(89,1)}
        77:{2,3}:{(60,1),(62,1),(90,1)}
        78:{1,4}:{(62,1),(83,1),(90,1)}
        79:{1,5,7}:{(63,1),(64,1),(67,1),(91,1)}
        80:{4,5}:{(65,1),(87,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        82:{2,6}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,5}:{(69,1),(78,1),(94,1)}
        84:{2,6}:{(69,1),(70,1),(94,1),(95,1)}
        85:{1,3,7}:{(70,1),(72,1),(74,1),(95,1)}
        86:{1,5,7}:{(71,1),(72,1),(75,1),(96,1)}
        87:{4,6}:{(73,1),(80,1),(97,1)}
        88:{3,5,7}:{(73,1),(74,1),(75,1),(97,1),(98,1),(104,1)}
        89:{2,6,7}:{(75,1),(76,1),(82,1),(96,1),(98,1)}
        90:{1,3}:{(77,1),(78,1),(99,1)}
        91:{1,6}:{(79,1),(82,1)}
        92:{4,5,7}:{(80,1),(81,1),(97,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(82,1),(100,1)}
        94:{1,6}:{(83,1),(84,1),(101,1)}
        95:{2,7}:{(84,1),(85,1),(101,1)}
        96:{1,6,7}:{(86,1),(89,1),(91,1)}
        97:{4,7}:{(87,1),(88,1)}
        98:{3,6,7}:{(88,1),(89,1),(93,1),(102,1)}
        99:{1,2}:{(90,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(94,1),(95,1)}
       102:{4,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 138 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(44,1),(74,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(56,1),(84,1)}
         2:{1,2,4}:{(0,1),(6,1),(8,1),(30,1)}
         3:{1,2,6}:{(0,1),(7,1),(9,1),(64,1)}
         4:{1,2,5}:{(10,1),(11,1),(12,1),(50,1),(68,1)}
         5:{2,3,5}:{(1,1),(10,1),(13,1),(14,1),(19,1),(38,1),(39,1),(42,1),(44,1),(68,1)}
         6:{1,4}:{(1,1),(13,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(18,1),(95,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,2,7}:{(3,1),(18,1),(82,1)}
        10:{1,3,5}:{(4,1),(5,1),(20,1),(21,1),(22,1),(33,1),(54,1),(63,1)}
        11:{1,2,4}:{(4,1),(20,1),(22,1),(53,1)}
        12:{1,2,6}:{(4,1),(21,1),(23,1),(85,1)}
        13:{2,4}:{(5,1),(6,1),(20,1),(25,1)}
        14:{2,3,6}:{(5,1),(7,1),(21,1),(26,1),(27,1),(57,1),(64,1),(85,1)}
        15:{1,4,5}:{(6,1),(24,1),(28,1),(29,1),(31,1),(84,1)}
        16:{1,3,4}:{(6,1),(8,1),(25,1),(28,1),(30,1)}
        17:{1,4,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(67,1)}
        18:{1,3,7}:{(7,1),(9,1),(27,1),(32,1),(101,1)}
        19:{2,3}:{(8,1),(30,1),(33,1)}
        20:{1,4}:{(10,1),(13,1)}
        21:{1,3,6}:{(10,1),(12,1),(14,1),(36,1),(37,1),(81,1)}
        22:{1,3}:{(11,1),(38,1)}
        23:{1,2,7}:{(12,1),(37,1),(96,1)}
        24:{2,4,5}:{(13,1),(15,1),(34,1),(39,1),(40,1),(42,1),(44,1),(68,1),(78,1)}
        25:{3,4}:{(13,1),(39,1)}
        26:{2,4,6}:{(13,1),(14,1),(17,1),(36,1),(41,1),(42,1),(43,1),(80,1)}
        27:{2,3,7}:{(14,1),(18,1),(37,1),(43,1),(76,1),(82,1),(96,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(44,1),(45,1)}
        29:{1,4,6}:{(15,1),(40,1),(45,1),(46,1),(47,1),(95,1)}
        30:{2,4}:{(16,1),(19,1),(44,1),(48,1)}
        31:{1,5}:{(17,1),(42,1)}
        32:{1,4,7}:{(17,1),(18,1),(43,1),(49,1)}
        33:{1,3}:{(19,1),(48,1),(50,1)}
        34:{1,4,5}:{(20,1),(24,1),(51,1),(52,1),(54,1),(63,1)}
        35:{1,3,4}:{(20,1),(22,1),(25,1),(51,1),(53,1)}
        36:{1,4,6}:{(20,1),(21,1),(26,1),(54,1),(55,1),(88,1)}
        37:{1,3,7}:{(21,1),(23,1),(27,1),(55,1),(94,1)}
        38:{2,3}:{(22,1),(53,1),(56,1)}
        39:{3,5}:{(24,1),(25,1),(57,1)}
        40:{2,4,6}:{(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(64,1),(85,1),(89,1)}
        41:{3,4,6}:{(25,1),(26,1),(57,1),(60,1),(61,1),(89,1),(93,1)}
        42:{2,5}:{(26,1),(31,1),(54,1),(60,1)}
        43:{2,4,7}:{(26,1),(27,1),(32,1),(55,1),(61,1),(62,1)}
        44:{2,5}:{(28,1),(30,1),(63,1),(64,1)}
        45:{1,3,6}:{(28,1),(29,1),(57,1),(64,1),(65,1)}
        46:{1,5,6}:{(29,1),(31,1),(58,1),(66,1),(67,1)}
        47:{1,4,7}:{(29,1),(59,1),(65,1),(66,1),(101,1)}
        48:{1,4}:{(30,1),(33,1),(63,1)}
        49:{1,5,7}:{(31,1),(32,1),(62,1),(67,1)}
        50:{1,2}:{(33,1)}
        51:{1,3,5}:{(34,1),(35,1),(39,1),(68,1),(69,1)}
        52:{1,4,6}:{(34,1),(40,1),(69,1),(70,1),(71,1),(81,1)}
        53:{2,4}:{(35,1),(38,1),(68,1),(72,1)}
        54:{1,5}:{(36,1),(42,1)}
        55:{1,4,7}:{(36,1),(37,1),(43,1),(73,1)}
        56:{1,3}:{(38,1),(72,1),(74,1)}
        57:{3,6}:{(39,1),(40,1),(76,1)}
        58:{2,5,6}:{(40,1),(42,1),(46,1),(70,1),(75,1),(77,1),(80,1)}
        59:{2,4,7}:{(40,1),(47,1),(71,1),(76,1),(77,1),(82,1),(96,1),(98,1)}
        60:{3,5}:{(41,1),(42,1),(78,1)}
        61:{3,4,7}:{(41,1),(43,1),(76,1),(79,1),(98,1)}
        62:{2,5,7}:{(42,1),(43,1),(49,1),(73,1),(79,1),(80,1)}
        63:{1,5}:{(44,1),(48,1),(81,1)}
        64:{2,6}:{(44,1),(45,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(47,1),(76,1),(82,1)}
        66:{1,5,7}:{(46,1),(47,1),(77,1),(83,1)}
        67:{1,6}:{(49,1),(80,1)}
        68:{2,5}:{(51,1),(53,1),(84,1),(85,1)}
        69:{1,3,6}:{(51,1),(52,1),(57,1),(85,1),(86,1)}
        70:{1,5,6}:{(52,1),(54,1),(58,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(59,1),(86,1),(87,1),(94,1)}
        72:{1,4}:{(53,1),(56,1),(84,1)}
        73:{1,5,7}:{(54,1),(55,1),(62,1),(88,1)}
        74:{1,2}:{(56,1)}
        75:{3,5,6}:{(57,1),(58,1),(60,1),(89,1),(90,1),(93,1),(103,1)}
        76:{3,7}:{(57,1),(59,1)}
        77:{2,5,7}:{(58,1),(59,1),(66,1),(87,1),(90,1),(91,1)}
        78:{4,5}:{(60,1),(89,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(92,1),(93,1)}
        80:{2,6}:{(62,1),(67,1),(88,1),(93,1)}
        81:{1,6}:{(63,1),(64,1),(94,1)}
        82:{2,7}:{(64,1),(65,1),(94,1)}
        83:{1,6,7}:{(66,1),(67,1),(91,1)}
        84:{1,5}:{(68,1),(72,1),(95,1)}
        85:{2,6}:{(68,1),(69,1),(95,1),(96,1)}
        86:{1,3,7}:{(69,1),(71,1),(76,1),(96,1)}
        87:{1,5,7}:{(70,1),(71,1),(77,1),(97,1)}
        88:{1,6}:{(73,1),(80,1)}
        89:{4,6}:{(75,1),(78,1),(98,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(98,1),(99,1),(104,1)}
        91:{2,6,7}:{(77,1),(80,1),(83,1),(97,1),(99,1)}
        92:{4,5,7}:{(78,1),(79,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(79,1),(80,1),(100,1)}
        94:{1,7}:{(81,1),(82,1)}
        95:{1,6}:{(84,1),(85,1),(101,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6,7}:{(87,1),(88,1),(91,1)}
        98:{4,7}:{(89,1),(90,1)}
        99:{3,6,7}:{(90,1),(91,1),(93,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 139 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(80,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(101,1)}
         2:{1,2,5}:{(0,1),(7,1),(9,1),(64,1),(88,1)}
         3:{1,2,7}:{(0,1),(8,1),(94,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(95,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(77,1),(80,1),(95,1)}
         6:{1,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(46,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(72,1),(97,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(17,1),(104,1)}
         9:{1,2,4}:{(2,1),(18,1),(19,1),(47,1)}
        10:{1,3,6}:{(4,1),(5,1),(20,1),(21,1),(22,1),(93,1)}
        11:{1,2,5}:{(4,1),(21,1),(23,1),(66,1),(86,1)}
        12:{1,2,7}:{(4,1),(22,1),(102,1)}
        13:{2,4,6}:{(5,1),(6,1),(20,1),(24,1),(25,1),(26,1),(27,1),(60,1)}
        14:{2,3,5}:{(5,1),(7,1),(21,1),(25,1),(27,1),(32,1),(53,1),(59,1),(64,1),(86,1)}
        15:{2,3,7}:{(5,1),(8,1),(22,1),(26,1),(92,1),(94,1),(102,1)}
        16:{1,5}:{(6,1),(25,1)}
        17:{1,4,7}:{(6,1),(8,1),(26,1),(30,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3}:{(9,1),(32,1)}
        20:{1,4,6}:{(10,1),(13,1),(33,1),(34,1),(35,1),(70,1)}
        21:{1,3,5}:{(10,1),(11,1),(14,1),(33,1),(35,1),(36,1),(48,1),(82,1)}
        22:{1,3,7}:{(10,1),(12,1),(15,1),(34,1),(100,1)}
        23:{1,2,4}:{(11,1),(35,1),(36,1),(71,1)}
        24:{3,4,6}:{(13,1),(37,1),(38,1),(42,1),(73,1),(76,1),(77,1)}
        25:{2,5}:{(13,1),(16,1),(33,1),(37,1)}
        26:{2,4,7}:{(13,1),(15,1),(17,1),(34,1),(38,1),(41,1)}
        27:{2,4}:{(14,1),(18,1),(35,1),(42,1)}
        28:{1,5,6}:{(16,1),(39,1),(43,1),(44,1),(46,1)}
        29:{1,4,5}:{(16,1),(18,1),(40,1),(43,1),(45,1),(97,1)}
        30:{1,5,7}:{(16,1),(17,1),(41,1),(46,1)}
        31:{1,3,4}:{(18,1),(19,1),(42,1),(45,1),(47,1)}
        32:{2,3}:{(19,1),(47,1),(48,1)}
        33:{1,5}:{(20,1),(25,1)}
        34:{1,4,7}:{(20,1),(22,1),(26,1),(51,1)}
        35:{1,4}:{(21,1),(27,1)}
        36:{1,3}:{(23,1),(53,1)}
        37:{3,5}:{(24,1),(25,1),(55,1)}
        38:{3,4,7}:{(24,1),(26,1),(56,1),(89,1),(92,1)}
        39:{2,5,6}:{(25,1),(28,1),(49,1),(54,1),(57,1),(58,1),(60,1)}
        40:{2,4,5}:{(25,1),(27,1),(29,1),(50,1),(55,1),(57,1),(59,1),(64,1),(86,1)}
        41:{2,5,7}:{(25,1),(26,1),(30,1),(51,1),(56,1),(60,1)}
        42:{3,4}:{(27,1),(59,1)}
        43:{1,4,6}:{(28,1),(29,1),(57,1),(61,1),(62,1),(101,1)}
        44:{1,5,7}:{(28,1),(58,1),(62,1),(63,1)}
        45:{1,3,5}:{(29,1),(31,1),(59,1),(61,1),(64,1)}
        46:{1,6}:{(30,1),(60,1)}
        47:{2,4}:{(31,1),(32,1),(64,1),(65,1)}
        48:{1,3}:{(32,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(39,1),(67,1),(68,1),(70,1)}
        50:{1,4,5}:{(33,1),(35,1),(40,1),(67,1),(69,1),(82,1)}
        51:{1,5,7}:{(33,1),(34,1),(41,1),(70,1)}
        52:{1,3,4}:{(35,1),(36,1),(42,1),(69,1),(71,1)}
        53:{2,3}:{(36,1),(71,1),(72,1)}
        54:{3,5,6}:{(37,1),(39,1),(73,1),(74,1),(76,1),(77,1),(99,1)}
        55:{4,5}:{(37,1),(73,1)}
        56:{3,5,7}:{(37,1),(38,1),(41,1),(75,1),(76,1)}
        57:{2,4,6}:{(39,1),(40,1),(43,1),(67,1),(73,1),(77,1),(78,1),(80,1),(95,1)}
        58:{2,5,7}:{(39,1),(44,1),(68,1),(74,1),(78,1),(79,1)}
        59:{3,5}:{(40,1),(42,1),(77,1)}
        60:{2,6}:{(41,1),(46,1),(70,1),(76,1)}
        61:{1,3,6}:{(43,1),(45,1),(77,1),(80,1),(81,1)}
        62:{1,4,7}:{(43,1),(44,1),(78,1),(81,1),(104,1)}
        63:{1,6,7}:{(44,1),(46,1),(79,1)}
        64:{2,5}:{(45,1),(47,1),(80,1),(82,1)}
        65:{1,4}:{(47,1),(48,1),(82,1)}
        66:{1,2}:{(48,1)}
        67:{1,4,6}:{(49,1),(50,1),(57,1),(83,1),(84,1),(93,1)}
        68:{1,5,7}:{(49,1),(58,1),(84,1),(85,1)}
        69:{1,3,5}:{(50,1),(52,1),(59,1),(83,1),(86,1)}
        70:{1,6}:{(51,1),(60,1)}
        71:{2,4}:{(52,1),(53,1),(86,1),(87,1)}
        72:{1,3}:{(53,1),(87,1),(88,1)}
        73:{4,6}:{(54,1),(55,1),(89,1)}
        74:{3,5,7}:{(54,1),(58,1),(89,1),(90,1),(92,1),(103,1)}
        75:{4,5,7}:{(55,1),(56,1),(89,1),(91,1),(103,1)}
        76:{3,6}:{(56,1),(60,1),(91,1)}
        77:{3,6}:{(57,1),(59,1),(92,1)}
        78:{2,4,7}:{(57,1),(58,1),(62,1),(84,1),(89,1),(92,1),(94,1),(102,1)}
        79:{2,6,7}:{(58,1),(60,1),(63,1),(85,1),(90,1)}
        80:{2,6}:{(61,1),(64,1),(93,1),(94,1)}
        81:{1,3,7}:{(61,1),(62,1),(92,1),(94,1)}
        82:{1,5}:{(64,1),(65,1),(93,1)}
        83:{1,3,6}:{(67,1),(69,1),(77,1),(95,1),(96,1)}
        84:{1,4,7}:{(67,1),(68,1),(78,1),(96,1),(100,1)}
        85:{1,6,7}:{(68,1),(70,1),(79,1)}
        86:{2,5}:{(69,1),(71,1),(95,1),(97,1)}
        87:{1,4}:{(71,1),(72,1),(97,1)}
        88:{1,2}:{(72,1)}
        89:{4,7}:{(73,1),(74,1)}
        90:{3,6,7}:{(74,1),(76,1),(79,1),(98,1)}
        91:{4,6}:{(75,1),(76,1),(99,1)}
        92:{3,7}:{(77,1),(78,1)}
        93:{1,6}:{(80,1),(82,1),(100,1)}
        94:{2,7}:{(80,1),(81,1),(100,1)}
        95:{2,6}:{(83,1),(86,1),(101,1),(102,1)}
        96:{1,3,7}:{(83,1),(84,1),(92,1),(102,1)}
        97:{1,5}:{(86,1),(87,1),(101,1)}
        98:{4,6,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{5,6}:{(91,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{1,6}:{(95,1),(97,1),(104,1)}
       102:{2,7}:{(95,1),(96,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

 140 :   0:{1,2,7}:{(1,1),(2,1),(96,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(104,1)}
         2:{1,2,6}:{(0,1),(6,1),(7,1),(86,1)}
         3:{1,2,7}:{(8,1),(9,1),(102,1)}
         4:{2,3,7}:{(1,1),(8,1),(10,1),(11,1),(95,1),(96,1),(102,1)}
         5:{1,4,7}:{(1,1),(10,1),(12,1),(13,1)}
         6:{1,3,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(103,1)}
         7:{1,2,5}:{(2,1),(14,1),(15,1),(71,1),(92,1)}
         8:{1,3,7}:{(3,1),(4,1),(16,1),(17,1),(101,1)}
         9:{1,2,6}:{(3,1),(17,1),(18,1),(99,1)}
        10:{2,4,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(21,1)}
        11:{2,3,6}:{(4,1),(6,1),(17,1),(21,1),(22,1),(84,1),(86,1),(99,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(24,1)}
        13:{1,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(24,1),(25,1),(26,1),(78,1),(100,1)}
        15:{1,2,4}:{(7,1),(25,1),(26,1),(55,1)}
        16:{1,4,7}:{(8,1),(10,1),(27,1),(28,1)}
        17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(97,1)}
        18:{1,2,5}:{(9,1),(29,1),(30,1),(73,1),(90,1)}
        19:{3,4,7}:{(10,1),(31,1),(32,1),(94,1),(95,1)}
        20:{2,5,7}:{(10,1),(12,1),(27,1),(31,1),(33,1),(34,1)}
        21:{2,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1),(33,1),(34,1),(35,1)}
        22:{2,3,5}:{(11,1),(14,1),(29,1),(34,1),(35,1),(40,1),(61,1),(68,1),(71,1),(90,1)}
        23:{1,6}:{(12,1),(33,1)}
        24:{1,5}:{(13,1),(34,1)}
        25:{1,4}:{(14,1),(35,1)}
        26:{1,3}:{(15,1),(40,1)}
        27:{1,5,7}:{(16,1),(20,1),(41,1),(42,1)}
        28:{1,4,6}:{(16,1),(17,1),(21,1),(41,1),(42,1),(43,1)}
        29:{1,3,5}:{(17,1),(18,1),(22,1),(42,1),(43,1),(44,1),(56,1),(87,1)}
        30:{1,2,4}:{(18,1),(43,1),(44,1),(77,1)}
        31:{3,5,7}:{(19,1),(20,1),(45,1),(46,1),(47,1)}
        32:{3,4,6}:{(19,1),(21,1),(46,1),(47,1),(51,1),(82,1),(84,1)}
        33:{2,6}:{(20,1),(23,1),(41,1),(46,1)}
        34:{2,5}:{(21,1),(24,1),(42,1),(47,1)}
        35:{2,4}:{(22,1),(25,1),(43,1),(51,1)}
        36:{1,6,7}:{(23,1),(48,1),(52,1)}
        37:{1,5,6}:{(23,1),(24,1),(49,1),(52,1),(53,1)}
        38:{1,4,5}:{(24,1),(25,1),(50,1),(53,1),(54,1),(100,1)}
        39:{1,3,4}:{(25,1),(26,1),(51,1),(54,1),(55,1)}
        40:{2,3}:{(26,1),(55,1),(56,1)}
        41:{1,6}:{(27,1),(33,1)}
        42:{1,5}:{(28,1),(34,1)}
        43:{1,4}:{(29,1),(35,1)}
        44:{1,3}:{(30,1),(61,1)}
        45:{4,5,7}:{(31,1),(62,1),(65,1),(93,1),(94,1)}
        46:{3,6}:{(31,1),(33,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(65,1)}
        48:{2,6,7}:{(33,1),(36,1),(57,1),(63,1),(66,1)}
        49:{2,5,6}:{(33,1),(34,1),(37,1),(58,1),(64,1),(66,1),(67,1)}
        50:{2,4,5}:{(34,1),(35,1),(38,1),(59,1),(65,1),(67,1),(68,1),(71,1),(90,1)}
        51:{3,4}:{(35,1),(68,1)}
        52:{1,5,7}:{(36,1),(37,1),(66,1),(69,1)}
        53:{1,4,6}:{(37,1),(38,1),(67,1),(69,1),(70,1),(103,1)}
        54:{1,3,5}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        55:{2,4}:{(39,1),(40,1),(71,1),(72,1)}
        56:{1,3}:{(40,1),(72,1),(73,1)}
        57:{1,6,7}:{(41,1),(48,1),(74,1)}
        58:{1,5,6}:{(41,1),(42,1),(49,1),(74,1),(75,1)}
        59:{1,4,5}:{(42,1),(43,1),(50,1),(75,1),(76,1),(87,1)}
        60:{1,3,4}:{(43,1),(44,1),(51,1),(76,1),(77,1)}
        61:{2,3}:{(44,1),(77,1),(78,1)}
        62:{4,6}:{(45,1),(46,1),(80,1)}
        63:{3,6,7}:{(46,1),(48,1),(79,1),(81,1)}
        64:{3,5,6}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1),(84,1)}
        65:{4,5}:{(47,1),(82,1)}
        66:{2,5,7}:{(48,1),(49,1),(52,1),(74,1),(81,1),(83,1)}
        67:{2,4,6}:{(49,1),(50,1),(53,1),(75,1),(82,1),(83,1),(84,1),(86,1),(99,1)}
        68:{3,5}:{(50,1),(51,1),(84,1)}
        69:{1,4,7}:{(52,1),(53,1),(83,1),(85,1),(104,1)}
        70:{1,3,6}:{(53,1),(54,1),(84,1),(85,1),(86,1)}
        71:{2,5}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,4}:{(55,1),(56,1),(87,1)}
        73:{1,2}:{(56,1)}
        74:{1,5,7}:{(57,1),(58,1),(66,1),(88,1)}
        75:{1,4,6}:{(58,1),(59,1),(67,1),(88,1),(89,1),(97,1)}
        76:{1,3,5}:{(59,1),(60,1),(68,1),(89,1),(90,1)}
        77:{2,4}:{(60,1),(61,1),(90,1),(91,1)}
        78:{1,3}:{(61,1),(91,1),(92,1)}
        79:{4,6,7}:{(62,1),(63,1),(93,1),(94,1)}
        80:{5,6}:{(62,1),(93,1)}
        81:{3,5,7}:{(63,1),(64,1),(66,1),(93,1),(94,1),(95,1)}
        82:{4,6}:{(64,1),(65,1),(94,1)}
        83:{2,4,7}:{(66,1),(67,1),(69,1),(88,1),(94,1),(95,1),(96,1),(102,1)}
        84:{3,6}:{(67,1),(68,1),(95,1)}
        85:{1,3,7}:{(69,1),(70,1),(95,1),(96,1)}
        86:{2,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{1,5}:{(71,1),(72,1),(97,1)}
        88:{1,4,7}:{(74,1),(75,1),(83,1),(98,1),(101,1)}
        89:{1,3,6}:{(75,1),(76,1),(84,1),(98,1),(99,1)}
        90:{2,5}:{(76,1),(77,1),(99,1),(100,1)}
        91:{1,4}:{(77,1),(78,1),(100,1)}
        92:{1,2}:{(78,1)}
        93:{5,7}:{(79,1),(80,1)}
        94:{4,7}:{(81,1),(82,1)}
        95:{3,7}:{(83,1),(84,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6}:{(86,1),(87,1),(101,1)}
        98:{1,3,7}:{(88,1),(89,1),(95,1),(102,1)}
        99:{2,6}:{(89,1),(90,1),(102,1),(103,1)}
       100:{1,5}:{(90,1),(91,1),(103,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{2,7}:{(98,1),(99,1),(104,1)}
       103:{1,6}:{(99,1),(100,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 141 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(31,1),(34,1),(59,1),(64,1),(78,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(78,1),(114,1),(121,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(11,1),(36,1),(40,1),(46,1),(56,1),(90,1),(92,1),(93,1),(95,1),(101,1),(127,1),(130,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(11,1),(12,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(12,1),(14,1),(85,1)}
         5:{2,4,7}:{(1,1),(10,1),(11,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(12,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(27,1),(63,1),(64,1),(79,1),(108,1),(113,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(22,1),(66,1),(80,1),(114,1),(121,1),(143,1),(146,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(22,1),(24,1),(28,1),(60,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(121,1),(150,1),(171,1)}
        11:{2,5,7}:{(3,1),(5,1),(27,1),(28,1),(33,1),(163,1),(164,1)}
        12:{1,3,6}:{(3,1),(4,1),(22,1),(28,1)}
        13:{1,4,6,7}:{(4,1),(23,1),(29,1),(31,1),(78,1),(109,1),(144,1)}
        14:{1,5,6}:{(4,1),(24,1),(31,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(27,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(28,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(36,1),(37,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(37,1),(39,1),(50,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(95,1),(98,1),(154,1),(158,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(11,1),(36,1),(40,1),(42,1),(43,1),(49,1),(81,1),(92,1),(125,1)}
        22:{3,6}:{(8,1),(9,1)}
        23:{2,4,6,7}:{(9,1),(13,1),(38,1),(44,1),(46,1),(51,1),(86,1),(95,1),(101,1),(130,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(45,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,5,7}:{(11,1),(15,1),(50,1),(55,1),(169,1),(170,1)}
        28:{2,6}:{(11,1),(12,1),(50,1)}
        29:{1,3,6,7}:{(12,1),(13,1),(44,1),(51,1),(53,1),(156,1)}
        30:{1,3,5,6}:{(12,1),(14,1),(17,1),(45,1),(52,1),(53,1),(54,1),(102,1)}
        31:{1,5,7}:{(13,1),(14,1),(46,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(113,1),(114,1),(118,1),(146,1)}
        36:{2,5,7}:{(18,1),(57,1),(59,1),(60,1),(107,1),(122,1),(150,1)}
        37:{1,3,6}:{(18,1),(19,1),(22,1),(60,1)}
        38:{1,4,6,7}:{(19,1),(23,1),(61,1),(63,1),(74,1),(113,1),(119,1)}
        39:{1,5,6}:{(19,1),(24,1),(63,1),(116,1)}
        40:{2,4,7}:{(20,1),(21,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(22,1),(65,1),(66,1),(70,1)}
        42:{1,3,5,7}:{(21,1),(25,1),(27,1),(59,1),(64,1),(67,1),(68,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        43:{2,3,6}:{(21,1),(22,1),(28,1),(60,1),(65,1),(68,1)}
        44:{3,6,7}:{(22,1),(23,1),(69,1),(121,1),(146,1)}
        45:{3,5,6}:{(22,1),(24,1),(66,1),(69,1),(70,1),(147,1)}
        46:{2,5,7}:{(23,1),(24,1),(31,1),(63,1),(69,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{1,6}:{(27,1),(28,1)}
        51:{2,6,7}:{(28,1),(29,1),(74,1),(76,1),(164,1)}
        52:{2,5,6}:{(28,1),(30,1),(33,1),(75,1),(76,1),(77,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(69,1),(76,1),(78,1),(121,1)}
        54:{1,4,6}:{(30,1),(34,1),(70,1),(77,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(77,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(36,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(37,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,5,7}:{(36,1),(82,1),(85,1),(126,1),(138,1),(160,1)}
        60:{2,6}:{(36,1),(37,1),(85,1)}
        61:{1,3,6,7}:{(37,1),(38,1),(44,1),(86,1),(88,1),(136,1)}
        62:{1,3,5,6}:{(37,1),(39,1),(45,1),(84,1),(87,1),(88,1),(89,1),(131,1)}
        63:{1,5,7}:{(38,1),(39,1),(46,1)}
        64:{1,4,7}:{(40,1),(42,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(43,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{2,5,7}:{(42,1),(47,1),(90,1),(94,1),(96,1),(123,1),(133,1),(152,1)}
        68:{1,3,6}:{(42,1),(43,1),(50,1),(85,1),(91,1),(94,1),(132,1)}
        69:{3,5,7}:{(44,1),(45,1),(46,1),(95,1)}
        70:{4,6}:{(45,1),(93,1),(95,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(51,1),(99,1),(170,1)}
        75:{1,5,6}:{(50,1),(52,1),(55,1),(99,1),(100,1)}
        76:{2,5,7}:{(51,1),(52,1),(53,1),(99,1),(101,1)}
        77:{2,4,6}:{(52,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        78:{1,4,7}:{(53,1),(54,1),(95,1),(101,1),(160,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(100,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(146,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(59,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(60,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{1,6}:{(59,1),(60,1)}
        86:{2,6,7}:{(60,1),(61,1),(109,1),(111,1),(150,1)}
        87:{2,5,6}:{(60,1),(62,1),(107,1),(110,1),(111,1),(112,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(63,1),(69,1),(111,1),(113,1),(146,1)}
        89:{1,4,6}:{(62,1),(70,1),(108,1),(112,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(67,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(68,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{2,6}:{(67,1),(68,1)}
        95:{4,7}:{(69,1),(70,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(76,1),(119,1)}
       100:{1,4,6}:{(75,1),(77,1),(79,1),(119,1),(120,1)}
       101:{2,4,7}:{(76,1),(77,1),(78,1),(119,1),(121,1),(150,1)}
       102:{3,6}:{(77,1),(80,1),(121,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(120,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(85,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(86,1),(128,1),(160,1)}
       110:{1,5,6}:{(85,1),(87,1),(126,1),(128,1),(129,1)}
       111:{2,5,7}:{(86,1),(87,1),(88,1),(128,1),(130,1)}
       112:{2,4,6}:{(87,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       113:{1,4,7}:{(88,1),(89,1),(95,1),(130,1),(170,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(94,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{1,3,6}:{(100,1),(102,1),(103,1),(136,1),(137,1)}
       121:{3,7}:{(101,1),(102,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(112,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(111,1),(144,1)}
       129:{1,4,6}:{(110,1),(112,1),(142,1),(144,1),(145,1)}
       130:{2,4,7}:{(111,1),(112,1),(113,1),(144,1),(146,1),(164,1)}
       131:{3,6}:{(112,1),(143,1),(146,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(120,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(129,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{1,3,6}:{(129,1),(131,1),(155,1),(156,1),(157,1)}
       146:{3,7}:{(130,1),(131,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(145,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(145,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 142 :   0:{1,5,6}:{(3,1),(5,1),(6,1),(80,1),(96,1)}
         1:{1,4,5}:{(4,1),(5,1),(7,1),(54,1),(60,1),(80,1)}
         2:{1,3,4}:{(7,1),(8,1),(26,1),(31,1),(60,1),(86,1)}
         3:{2,5,6}:{(0,1),(9,1),(11,1),(12,1),(13,1),(69,1),(89,1),(91,1),(100,1)}
         4:{2,4,5}:{(1,1),(10,1),(12,1),(14,1),(19,1),(39,1),(40,1),(44,1),(69,1),(75,1),(89,1),(98,1)}
         5:{1,4,6}:{(0,1),(1,1),(12,1),(16,1),(17,1),(67,1)}
         6:{1,5,7}:{(0,1),(13,1),(17,1),(18,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(19,1)}
         8:{2,4}:{(2,1),(15,1),(19,1),(20,1),(48,1)}
         9:{1,5,6}:{(3,1),(21,1),(22,1),(80,1),(96,1)}
        10:{1,4,5}:{(4,1),(21,1),(23,1),(34,1),(60,1),(80,1)}
        11:{3,5,6}:{(3,1),(24,1),(25,1),(27,1),(55,1),(82,1),(83,1),(94,1),(102,1),(104,1)}
        12:{2,4,6}:{(3,1),(4,1),(5,1),(21,1),(24,1),(27,1),(28,1),(32,1),(52,1)}
        13:{2,5,7}:{(3,1),(6,1),(22,1),(25,1),(28,1),(29,1)}
        14:{3,5}:{(4,1),(26,1),(27,1),(86,1)}
        15:{2,3}:{(8,1),(31,1),(86,1)}
        16:{1,3,6}:{(5,1),(7,1),(27,1),(32,1),(33,1)}
        17:{1,4,7}:{(5,1),(6,1),(28,1),(33,1),(79,1)}
        18:{1,6,7}:{(6,1),(29,1),(96,1)}
        19:{2,5}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,4}:{(8,1),(31,1),(34,1)}
        21:{1,4,6}:{(9,1),(10,1),(12,1),(36,1),(37,1),(49,1)}
        22:{1,5,7}:{(9,1),(13,1),(37,1),(38,1)}
        23:{1,3,5}:{(10,1),(14,1),(35,1),(36,1),(39,1)}
        24:{4,6}:{(11,1),(40,1),(42,1),(98,1)}
        25:{3,5,7}:{(11,1),(13,1),(42,1),(43,1),(46,1),(74,1)}
        26:{3,4}:{(14,1),(44,1),(98,1)}
        27:{3,6}:{(12,1),(14,1),(46,1)}
        28:{2,4,7}:{(12,1),(13,1),(17,1),(37,1),(42,1),(46,1),(50,1),(68,1)}
        29:{2,6,7}:{(13,1),(18,1),(38,1),(43,1),(91,1),(100,1)}
        30:{2,3,5}:{(14,1),(15,1),(19,1),(39,1),(44,1),(45,1),(47,1),(65,1),(69,1)}
        31:{1,3}:{(15,1),(20,1),(48,1)}
        32:{2,6}:{(16,1),(19,1),(49,1),(50,1)}
        33:{1,3,7}:{(16,1),(17,1),(46,1),(50,1)}
        34:{1,5}:{(19,1),(20,1),(49,1)}
        35:{1,3,4}:{(23,1),(26,1),(51,1),(60,1),(78,1),(86,1)}
        36:{1,3,6}:{(21,1),(23,1),(27,1),(52,1),(53,1)}
        37:{1,4,7}:{(21,1),(22,1),(28,1),(53,1),(64,1)}
        38:{1,6,7}:{(22,1),(29,1),(96,1)}
        39:{2,5}:{(23,1),(51,1),(52,1),(54,1)}
        40:{4,5}:{(24,1),(55,1),(104,1)}
        41:{3,4,6}:{(24,1),(26,1),(27,1),(55,1),(57,1),(58,1),(82,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(29,1),(59,1),(82,1),(102,1)}
        44:{2,4}:{(26,1),(30,1),(60,1)}
        45:{2,3,6}:{(27,1),(30,1),(32,1),(52,1),(57,1),(61,1),(62,1)}
        46:{3,7}:{(27,1),(28,1)}
        47:{1,3,5}:{(30,1),(31,1),(34,1),(54,1),(60,1),(61,1),(63,1),(78,1),(80,1),(86,1),(94,1)}
        48:{2}:{(31,1)}
        49:{1,6}:{(32,1),(34,1),(64,1)}
        50:{2,7}:{(32,1),(33,1),(64,1)}
        51:{2,4}:{(35,1),(39,1),(65,1),(66,1),(88,1)}
        52:{2,6}:{(36,1),(39,1),(67,1),(68,1)}
        53:{1,3,7}:{(36,1),(37,1),(46,1),(68,1)}
        54:{1,5}:{(39,1),(66,1),(67,1)}
        55:{3,5}:{(40,1),(41,1),(69,1)}
        56:{4,5,7}:{(40,1),(42,1),(70,1),(71,1),(74,1)}
        57:{2,4,6}:{(41,1),(44,1),(45,1),(69,1),(72,1),(73,1),(91,1)}
        58:{3,4,7}:{(41,1),(42,1),(46,1),(70,1),(73,1)}
        59:{4,6,7}:{(42,1),(43,1),(71,1),(74,1),(103,1)}
        60:{1,4}:{(44,1),(47,1),(75,1),(98,1)}
        61:{1,3,6}:{(45,1),(47,1),(49,1),(67,1),(72,1),(76,1),(77,1),(92,1)}
        62:{2,3,7}:{(45,1),(46,1),(50,1),(68,1),(73,1),(77,1)}
        63:{2,5}:{(47,1),(48,1),(75,1),(76,1),(88,1)}
        64:{1,7}:{(49,1),(50,1)}
        65:{2,3}:{(51,1),(78,1),(86,1)}
        66:{1,4}:{(51,1),(54,1),(78,1)}
        67:{1,6}:{(52,1),(54,1),(79,1)}
        68:{2,7}:{(52,1),(53,1),(79,1)}
        69:{2,5}:{(55,1),(57,1),(80,1)}
        70:{3,5,7}:{(55,1),(56,1),(58,1),(81,1),(82,1)}
        71:{4,6}:{(56,1),(82,1),(83,1)}
        72:{1,4,6}:{(57,1),(60,1),(61,1),(80,1),(84,1),(85,1),(96,1)}
        73:{2,4,7}:{(57,1),(58,1),(62,1),(81,1),(85,1)}
        74:{5,7}:{(59,1),(83,1),(104,1)}
        75:{2,4}:{(60,1),(63,1),(86,1)}
        76:{2,6}:{(61,1),(63,1),(87,1)}
        77:{1,3,7}:{(61,1),(62,1),(64,1),(79,1),(85,1),(87,1),(97,1)}
        78:{1,3}:{(65,1),(66,1),(88,1)}
        79:{1,7}:{(67,1),(68,1)}
        80:{1,5}:{(69,1),(72,1),(89,1)}
        81:{2,5,7}:{(69,1),(70,1),(73,1),(90,1),(91,1)}
        82:{3,6}:{(70,1),(71,1),(91,1)}
        83:{5,6}:{(71,1),(74,1)}
        84:{2,4,6}:{(72,1),(75,1),(76,1),(89,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        85:{1,4,7}:{(72,1),(73,1),(77,1),(90,1),(93,1)}
        86:{3}:{(75,1)}
        87:{2,7}:{(76,1),(77,1)}
        88:{2}:{(78,1)}
        89:{2,5}:{(80,1),(84,1),(94,1),(104,1)}
        90:{1,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1)}
        91:{2,6}:{(81,1),(82,1),(96,1)}
        92:{3,6}:{(84,1),(86,1),(94,1),(97,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(101,1)}
        94:{3,5}:{(89,1),(92,1),(98,1)}
        95:{2,5,7}:{(89,1),(90,1),(93,1),(99,1),(100,1)}
        96:{1,6}:{(90,1),(91,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{4}:{(94,1)}
        99:{3,5,7}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 143 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 144 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 145 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(3,1),(4,1)}
        2:{1,2}:{(5,1)}
        3:{2,3}:{(1,1),(5,1),(6,1)}
        4:{1,4}:{(1,1),(6,1),(7,1)}
        5:{1,3}:{(2,1),(3,1),(8,1)}
        6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
        7:{1,5}:{(4,1),(10,1),(11,1)}
        8:{1,4}:{(5,1),(6,1),(12,1)}
        9:{3,4}:{(6,1),(13,1)}
       10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(7,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

 146 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 147 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 148 :   0:{1,6,7}:{(3,1),(6,1),(94,1)}
         1:{1,5,6}:{(4,1),(6,1),(7,1),(83,1),(94,1)}
         2:{1,4,5}:{(5,1),(7,1),(8,1),(54,1),(60,1),(83,1)}
         3:{2,6,7}:{(0,1),(9,1),(12,1),(14,1),(89,1),(98,1)}
         4:{2,5,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(72,1),(89,1),(91,1),(98,1)}
         5:{2,4,5}:{(2,1),(11,1),(15,1),(16,1),(20,1),(38,1),(40,1),(43,1),(72,1),(75,1),(91,1),(100,1)}
         6:{1,5,7}:{(0,1),(1,1),(14,1),(18,1)}
         7:{1,4,6}:{(1,1),(2,1),(15,1),(18,1),(19,1),(69,1)}
         8:{1,3,5}:{(2,1),(16,1),(17,1),(19,1),(20,1)}
         9:{1,6,7}:{(3,1),(21,1),(94,1)}
        10:{1,5,6}:{(4,1),(21,1),(22,1),(83,1),(94,1)}
        11:{1,4,5}:{(5,1),(22,1),(23,1),(34,1),(60,1),(83,1)}
        12:{3,6,7}:{(3,1),(24,1),(25,1),(81,1),(101,1)}
        13:{3,5,6}:{(4,1),(25,1),(26,1),(29,1),(55,1),(57,1),(81,1),(96,1),(101,1),(104,1)}
        14:{2,5,7}:{(3,1),(4,1),(6,1),(21,1),(25,1),(28,1)}
        15:{2,4,6}:{(4,1),(5,1),(7,1),(22,1),(26,1),(28,1),(29,1),(33,1),(53,1)}
        16:{3,5}:{(5,1),(27,1),(29,1),(86,1)}
        17:{1,3,4}:{(8,1),(27,1),(31,1),(60,1),(64,1),(86,1)}
        18:{1,4,7}:{(6,1),(7,1),(28,1),(32,1),(80,1)}
        19:{1,3,6}:{(7,1),(8,1),(29,1),(32,1),(33,1)}
        20:{2,5}:{(8,1),(31,1),(33,1),(34,1)}
        21:{1,5,7}:{(9,1),(10,1),(14,1),(36,1)}
        22:{1,4,6}:{(10,1),(11,1),(15,1),(36,1),(37,1),(50,1)}
        23:{1,3,5}:{(11,1),(16,1),(35,1),(37,1),(38,1)}
        24:{4,6,7}:{(12,1),(39,1),(41,1),(70,1),(103,1)}
        25:{3,5,7}:{(12,1),(13,1),(14,1),(39,1),(41,1),(44,1)}
        26:{4,6}:{(13,1),(40,1),(41,1),(100,1)}
        27:{3,4}:{(16,1),(43,1),(100,1)}
        28:{2,4,7}:{(14,1),(15,1),(18,1),(36,1),(41,1),(44,1),(49,1),(68,1)}
        29:{3,6}:{(15,1),(16,1),(44,1)}
        30:{2,3,5}:{(16,1),(20,1),(38,1),(43,1),(45,1),(46,1),(47,1),(66,1),(72,1)}
        31:{2,4}:{(17,1),(20,1),(47,1),(48,1),(78,1)}
        32:{1,3,7}:{(18,1),(19,1),(44,1),(49,1)}
        33:{2,6}:{(19,1),(20,1),(49,1),(50,1)}
        34:{1,5}:{(20,1),(48,1),(50,1)}
        35:{1,3,4}:{(23,1),(27,1),(51,1),(60,1),(79,1),(86,1)}
        36:{1,4,7}:{(21,1),(22,1),(28,1),(52,1),(65,1)}
        37:{1,3,6}:{(22,1),(23,1),(29,1),(52,1),(53,1)}
        38:{2,5}:{(23,1),(51,1),(53,1),(54,1)}
        39:{5,7}:{(24,1),(55,1),(104,1)}
        40:{4,5}:{(26,1),(57,1),(104,1)}
        41:{4,7}:{(25,1),(26,1)}
        42:{3,4,6}:{(26,1),(27,1),(29,1),(57,1),(58,1),(59,1),(81,1)}
        43:{2,4}:{(27,1),(30,1),(60,1)}
        44:{3,7}:{(28,1),(29,1)}
        45:{2,3,6}:{(29,1),(30,1),(33,1),(53,1),(59,1),(61,1),(62,1)}
        46:{1,3,5}:{(30,1),(34,1),(54,1),(60,1),(62,1),(63,1),(64,1),(79,1),(83,1),(86,1),(96,1)}
        47:{2,3}:{(31,1),(64,1),(86,1)}
        48:{1,4}:{(31,1),(34,1),(64,1)}
        49:{2,7}:{(32,1),(33,1),(65,1)}
        50:{1,6}:{(33,1),(34,1),(65,1)}
        51:{2,4}:{(35,1),(38,1),(66,1),(67,1),(88,1)}
        52:{1,3,7}:{(36,1),(37,1),(44,1),(68,1)}
        53:{2,6}:{(37,1),(38,1),(68,1),(69,1)}
        54:{1,5}:{(38,1),(67,1),(69,1)}
        55:{5,6}:{(39,1),(70,1)}
        56:{4,5,7}:{(39,1),(40,1),(41,1),(70,1),(71,1)}
        57:{3,5}:{(40,1),(42,1),(72,1)}
        58:{3,4,7}:{(41,1),(42,1),(44,1),(71,1),(73,1)}
        59:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(73,1),(74,1),(89,1)}
        60:{1,4}:{(43,1),(46,1),(75,1),(100,1)}
        61:{2,3,7}:{(44,1),(45,1),(49,1),(68,1),(73,1),(76,1)}
        62:{1,3,6}:{(45,1),(46,1),(50,1),(69,1),(74,1),(76,1),(77,1),(93,1)}
        63:{2,5}:{(46,1),(75,1),(77,1),(78,1),(88,1)}
        64:{1,3}:{(47,1),(48,1),(78,1)}
        65:{1,7}:{(49,1),(50,1)}
        66:{2,3}:{(51,1),(79,1),(86,1)}
        67:{1,4}:{(51,1),(54,1),(79,1)}
        68:{2,7}:{(52,1),(53,1),(80,1)}
        69:{1,6}:{(53,1),(54,1),(80,1)}
        70:{4,6}:{(55,1),(56,1),(81,1)}
        71:{3,5,7}:{(56,1),(57,1),(58,1),(81,1),(82,1)}
        72:{2,5}:{(57,1),(59,1),(83,1)}
        73:{2,4,7}:{(58,1),(59,1),(61,1),(82,1),(84,1)}
        74:{1,4,6}:{(59,1),(60,1),(62,1),(83,1),(84,1),(85,1),(94,1)}
        75:{2,4}:{(60,1),(63,1),(86,1)}
        76:{1,3,7}:{(61,1),(62,1),(65,1),(80,1),(84,1),(87,1),(97,1)}
        77:{2,6}:{(62,1),(63,1),(87,1)}
        78:{2}:{(64,1)}
        79:{1,3}:{(66,1),(67,1),(88,1)}
        80:{1,7}:{(68,1),(69,1)}
        81:{3,6}:{(70,1),(71,1),(89,1)}
        82:{2,5,7}:{(71,1),(72,1),(73,1),(89,1),(90,1)}
        83:{1,5}:{(72,1),(74,1),(91,1)}
        84:{1,4,7}:{(73,1),(74,1),(76,1),(90,1),(92,1)}
        85:{2,4,6}:{(74,1),(75,1),(77,1),(91,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        86:{3}:{(75,1)}
        87:{2,7}:{(76,1),(77,1)}
        88:{2}:{(79,1)}
        89:{2,6}:{(81,1),(82,1),(94,1)}
        90:{1,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1)}
        91:{2,5}:{(83,1),(85,1),(96,1),(104,1)}
        92:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(102,1)}
        93:{3,6}:{(85,1),(86,1),(96,1),(97,1)}
        94:{1,6}:{(89,1),(90,1),(98,1)}
        95:{2,5,7}:{(90,1),(91,1),(92,1),(98,1),(99,1)}
        96:{3,5}:{(91,1),(93,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{2,6}:{(94,1),(95,1),(101,1)}
        99:{3,5,7}:{(95,1),(96,1),(97,1),(101,1),(102,1),(104,1)}
       100:{4}:{(96,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{4,7}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 149 :   0:{1,4,5,7}:{(1,1),(2,1),(3,1),(22,1),(51,1),(54,1),(65,1),(68,1),(107,1),(136,1),(138,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(9,1),(28,1),(31,1),(34,1),(80,1),(82,1),(83,1),(84,1),(90,1),(92,1),(120,1),(122,1),(126,1),(153,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(9,1),(10,1),(41,1),(150,1),(151,1)}
         3:{1,4,6}:{(0,1),(6,1),(10,1),(11,1),(77,1)}
         4:{1,4,5,7}:{(1,1),(12,1),(13,1),(23,1),(50,1),(54,1),(99,1),(102,1),(107,1),(111,1),(113,1)}
         5:{3,5,7}:{(1,1),(14,1),(17,1),(56,1),(105,1),(112,1),(114,1),(137,1),(139,1),(141,1)}
         6:{2,4,6}:{(1,1),(3,1),(13,1),(17,1),(18,1),(24,1),(52,1),(60,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(54,1),(61,1),(68,1),(105,1),(114,1),(159,1)}
         8:{1,4,6,7}:{(3,1),(15,1),(21,1),(22,1),(68,1),(100,1),(138,1)}
         9:{2,5,7}:{(2,1),(19,1),(23,1),(24,1),(64,1),(160,1),(161,1)}
        10:{1,3,6}:{(2,1),(3,1),(17,1),(24,1)}
        11:{1,5,6}:{(3,1),(18,1),(22,1),(107,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(26,1),(28,1),(29,1),(74,1),(130,1),(131,1)}
        13:{1,4,6}:{(4,1),(6,1),(29,1),(30,1),(44,1)}
        14:{3,4,7}:{(5,1),(31,1),(32,1),(84,1),(129,1),(149,1),(153,1)}
        15:{2,4,6,7}:{(6,1),(8,1),(27,1),(33,1),(34,1),(42,1),(75,1),(84,1),(92,1),(122,1)}
        16:{2,3,5,7}:{(5,1),(9,1),(28,1),(31,1),(35,1),(36,1),(38,1),(71,1),(82,1),(88,1),(118,1)}
        17:{3,6}:{(5,1),(6,1)}
        18:{2,5,6}:{(6,1),(11,1),(30,1),(34,1),(37,1),(82,1),(126,1)}
        19:{2,4,7}:{(7,1),(9,1),(38,1),(39,1),(40,1),(86,1),(166,1)}
        20:{1,3,4,6}:{(7,1),(10,1),(32,1),(40,1),(41,1),(46,1),(81,1),(87,1),(94,1),(125,1),(128,1),(129,1),(153,1),(154,1)}
        21:{1,3,6,7}:{(8,1),(10,1),(33,1),(42,1),(43,1),(151,1)}
        22:{1,5,7}:{(8,1),(11,1),(34,1)}
        23:{1,5,7}:{(9,1),(39,1),(44,1),(89,1),(167,1),(168,1)}
        24:{2,6}:{(9,1),(10,1),(44,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(37,1),(41,1),(43,1),(45,1),(46,1),(94,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(54,1),(95,1),(102,1),(105,1),(139,1),(143,1)}
        27:{1,4,6,7}:{(13,1),(15,1),(49,1),(50,1),(66,1),(102,1),(113,1)}
        28:{2,5,7}:{(12,1),(47,1),(51,1),(52,1),(98,1),(144,1),(145,1)}
        29:{1,3,6}:{(12,1),(13,1),(17,1),(52,1)}
        30:{1,5,6}:{(13,1),(18,1),(50,1),(107,1)}
        31:{2,4,7}:{(14,1),(16,1),(54,1),(55,1),(110,1),(135,1)}
        32:{3,4,6}:{(14,1),(17,1),(55,1),(56,1),(60,1)}
        33:{3,6,7}:{(15,1),(17,1),(57,1),(114,1),(139,1)}
        34:{2,5,7}:{(15,1),(18,1),(22,1),(50,1),(57,1)}
        35:{1,3,5,7}:{(16,1),(23,1),(51,1),(54,1),(58,1),(59,1),(61,1),(95,1),(105,1),(107,1),(109,1),(134,1),(141,1)}
        36:{2,3,6}:{(16,1),(17,1),(24,1),(52,1),(55,1),(59,1)}
        37:{3,5,6}:{(17,1),(18,1),(56,1),(57,1),(60,1),(141,1)}
        38:{2,3,7}:{(19,1),(61,1),(62,1),(105,1),(114,1),(145,1),(170,1)}
        39:{1,4,7}:{(19,1),(23,1),(61,1),(63,1),(171,1)}
        40:{2,4,6}:{(19,1),(20,1),(24,1),(62,1),(63,1),(64,1),(108,1),(110,1),(142,1)}
        41:{1,3,5}:{(20,1),(56,1),(64,1),(65,1),(107,1),(112,1),(141,1)}
        42:{2,6,7}:{(21,1),(24,1),(66,1),(67,1),(161,1)}
        43:{1,3,5,7}:{(21,1),(22,1),(25,1),(57,1),(67,1),(68,1),(114,1)}
        44:{1,6}:{(23,1),(24,1)}
        45:{2,5,6}:{(24,1),(25,1),(64,1),(67,1),(69,1),(70,1)}
        46:{1,4,6}:{(25,1),(60,1),(65,1),(68,1),(70,1),(146,1)}
        47:{2,4,7}:{(26,1),(28,1),(71,1),(72,1),(73,1),(116,1),(155,1)}
        48:{1,3,4,6}:{(26,1),(29,1),(32,1),(73,1),(74,1),(79,1),(81,1),(117,1),(124,1),(125,1),(148,1),(149,1),(153,1),(165,1)}
        49:{1,3,6,7}:{(27,1),(29,1),(33,1),(75,1),(76,1),(131,1)}
        50:{1,5,7}:{(27,1),(30,1),(34,1)}
        51:{1,5,7}:{(28,1),(72,1),(77,1),(119,1),(156,1),(157,1)}
        52:{2,6}:{(28,1),(29,1),(77,1)}
        53:{1,3,5,6}:{(29,1),(30,1),(37,1),(74,1),(76,1),(78,1),(79,1),(124,1)}
        54:{1,4,7}:{(31,1),(35,1),(80,1),(81,1),(128,1),(148,1),(153,1)}
        55:{2,4,6}:{(31,1),(32,1),(36,1),(81,1),(82,1)}
        56:{3,5}:{(32,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(37,1),(84,1)}
        58:{2,5,7}:{(35,1),(80,1),(85,1),(86,1),(116,1),(126,1),(127,1),(147,1)}
        59:{1,3,6}:{(35,1),(36,1),(44,1),(77,1),(81,1),(85,1),(125,1)}
        60:{4,6}:{(37,1),(83,1),(84,1),(153,1)}
        61:{1,3,7}:{(38,1),(39,1),(86,1),(87,1),(157,1),(173,1)}
        62:{2,3,6}:{(38,1),(40,1),(87,1),(88,1),(94,1),(125,1),(132,1),(154,1)}
        63:{1,4,6}:{(39,1),(40,1),(44,1),(87,1),(89,1),(128,1)}
        64:{2,5}:{(40,1),(41,1),(89,1)}
        65:{1,4,5}:{(41,1),(46,1),(83,1),(90,1),(128,1),(153,1),(156,1)}
        66:{1,6,7}:{(42,1),(44,1),(91,1),(168,1)}
        67:{2,5,7}:{(42,1),(43,1),(45,1),(91,1),(92,1)}
        68:{1,4,7}:{(43,1),(46,1),(84,1),(92,1),(157,1)}
        69:{1,5,6}:{(44,1),(45,1),(89,1),(91,1),(93,1)}
        70:{2,4,6}:{(45,1),(46,1),(90,1),(92,1),(93,1),(94,1),(132,1)}
        71:{2,3,7}:{(47,1),(95,1),(96,1),(105,1),(139,1),(161,1),(163,1)}
        72:{1,4,7}:{(47,1),(51,1),(95,1),(97,1),(164,1)}
        73:{2,4,6}:{(47,1),(48,1),(52,1),(96,1),(97,1),(98,1),(133,1),(135,1),(158,1)}
        74:{1,3,5}:{(48,1),(56,1),(98,1),(99,1),(107,1),(137,1),(141,1)}
        75:{2,6,7}:{(49,1),(52,1),(100,1),(101,1),(145,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(101,1),(102,1),(139,1)}
        77:{1,6}:{(51,1),(52,1)}
        78:{2,5,6}:{(52,1),(53,1),(98,1),(101,1),(103,1),(104,1)}
        79:{1,4,6}:{(53,1),(60,1),(99,1),(102,1),(104,1),(162,1)}
        80:{2,4,7}:{(54,1),(58,1),(105,1),(106,1),(142,1),(158,1)}
        81:{1,4,6}:{(54,1),(55,1),(59,1),(106,1),(107,1)}
        82:{2,5}:{(55,1),(56,1),(107,1)}
        83:{4,5}:{(56,1),(60,1)}
        84:{4,7}:{(57,1),(60,1)}
        85:{2,6}:{(58,1),(59,1)}
        86:{2,7}:{(61,1),(108,1),(174,1)}
        87:{1,3,6}:{(61,1),(62,1),(63,1),(108,1),(109,1),(146,1)}
        88:{2,3,5}:{(62,1),(64,1),(109,1),(110,1),(112,1),(141,1),(144,1),(163,1)}
        89:{1,5}:{(63,1),(64,1)}
        90:{2,4,5}:{(64,1),(65,1),(70,1),(110,1),(111,1),(112,1),(142,1),(144,1)}
        91:{1,5,7}:{(66,1),(67,1),(69,1),(113,1)}
        92:{2,4,7}:{(67,1),(68,1),(70,1),(113,1),(114,1),(145,1)}
        93:{1,4,6}:{(69,1),(70,1),(111,1),(113,1),(115,1)}
        94:{3,6}:{(70,1),(112,1),(114,1)}
        95:{1,3,7}:{(71,1),(72,1),(116,1),(117,1),(168,1),(169,1)}
        96:{2,3,6}:{(71,1),(73,1),(117,1),(118,1),(124,1),(125,1),(152,1),(165,1)}
        97:{1,4,6}:{(72,1),(73,1),(77,1),(117,1),(119,1),(148,1)}
        98:{2,5}:{(73,1),(74,1),(119,1)}
        99:{1,4,5}:{(74,1),(79,1),(83,1),(120,1),(148,1),(153,1),(167,1)}
       100:{1,6,7}:{(75,1),(77,1),(121,1),(157,1)}
       101:{2,5,7}:{(75,1),(76,1),(78,1),(121,1),(122,1)}
       102:{1,4,7}:{(76,1),(79,1),(84,1),(122,1),(168,1)}
       103:{1,5,6}:{(77,1),(78,1),(119,1),(121,1),(123,1)}
       104:{2,4,6}:{(78,1),(79,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
       105:{3,7}:{(80,1),(125,1),(154,1),(165,1)}
       106:{2,4,6}:{(80,1),(81,1),(85,1),(125,1),(126,1),(153,1)}
       107:{1,5}:{(81,1),(82,1),(126,1)}
       108:{2,6}:{(86,1),(87,1),(127,1)}
       109:{1,3,5}:{(87,1),(88,1),(89,1),(127,1),(128,1),(154,1),(156,1),(169,1)}
       110:{2,4}:{(88,1),(128,1),(129,1),(153,1)}
       111:{1,4,5}:{(89,1),(90,1),(93,1),(128,1),(130,1)}
       112:{3,5}:{(90,1),(94,1),(129,1),(154,1)}
       113:{1,4,7}:{(91,1),(92,1),(93,1),(131,1)}
       114:{3,7}:{(92,1),(94,1)}
       115:{1,3,6}:{(93,1),(94,1),(130,1),(131,1),(132,1)}
       116:{2,7}:{(95,1),(133,1),(172,1)}
       117:{1,3,6}:{(95,1),(96,1),(97,1),(133,1),(134,1),(162,1)}
       118:{2,3,5}:{(96,1),(98,1),(134,1),(135,1),(137,1),(141,1),(160,1),(170,1)}
       119:{1,5}:{(97,1),(98,1)}
       120:{2,4,5}:{(98,1),(99,1),(104,1),(135,1),(136,1),(137,1),(158,1),(160,1)}
       121:{1,5,7}:{(100,1),(101,1),(103,1),(138,1)}
       122:{2,4,7}:{(101,1),(102,1),(104,1),(138,1),(139,1),(161,1)}
       123:{1,4,6}:{(103,1),(104,1),(136,1),(138,1),(140,1)}
       124:{3,6}:{(104,1),(137,1),(139,1)}
       125:{3,6}:{(105,1),(106,1),(141,1)}
       126:{2,5}:{(106,1),(107,1),(141,1)}
       127:{2,5}:{(108,1),(109,1),(142,1),(172,1)}
       128:{1,4}:{(109,1),(110,1),(142,1)}
       129:{3,4}:{(110,1),(112,1)}
       130:{1,3,5}:{(111,1),(112,1),(115,1),(143,1),(144,1)}
       131:{1,3,7}:{(113,1),(114,1),(115,1),(145,1)}
       132:{2,6}:{(115,1),(144,1),(145,1),(146,1)}
       133:{2,6}:{(116,1),(117,1),(147,1)}
       134:{1,3,5}:{(117,1),(118,1),(119,1),(147,1),(148,1),(165,1),(167,1),(173,1)}
       135:{2,4}:{(118,1),(148,1),(149,1),(153,1)}
       136:{1,4,5}:{(119,1),(120,1),(123,1),(148,1),(150,1)}
       137:{3,5}:{(120,1),(124,1),(149,1),(165,1)}
       138:{1,4,7}:{(121,1),(122,1),(123,1),(151,1)}
       139:{3,7}:{(122,1),(124,1)}
       140:{1,3,6}:{(123,1),(124,1),(150,1),(151,1),(152,1)}
       141:{3,5}:{(125,1),(126,1),(153,1)}
       142:{2,4}:{(127,1),(128,1),(154,1)}
       143:{1,3,4}:{(128,1),(129,1),(130,1),(154,1),(155,1),(169,1)}
       144:{2,5}:{(130,1),(132,1),(155,1),(156,1)}
       145:{2,7}:{(131,1),(132,1),(157,1)}
       146:{1,6}:{(132,1),(156,1),(157,1)}
       147:{2,5}:{(133,1),(134,1),(158,1),(174,1)}
       148:{1,4}:{(134,1),(135,1),(158,1)}
       149:{3,4}:{(135,1),(137,1)}
       150:{1,3,5}:{(136,1),(137,1),(140,1),(159,1),(160,1)}
       151:{1,3,7}:{(138,1),(139,1),(140,1),(161,1)}
       152:{2,6}:{(140,1),(160,1),(161,1),(162,1)}
       153:{4}:{(141,1)}
       154:{3}:{(142,1)}
       155:{2,4}:{(143,1),(144,1),(163,1),(164,1),(172,1)}
       156:{1,5}:{(144,1),(146,1),(164,1)}
       157:{1,7}:{(145,1),(146,1)}
       158:{2,4}:{(147,1),(148,1),(165,1)}
       159:{1,3,4}:{(148,1),(149,1),(150,1),(165,1),(166,1),(173,1)}
       160:{2,5}:{(150,1),(152,1),(166,1),(167,1)}
       161:{2,7}:{(151,1),(152,1),(168,1)}
       162:{1,6}:{(152,1),(167,1),(168,1)}
       163:{2,3}:{(154,1),(155,1),(169,1)}
       164:{1,4}:{(155,1),(156,1),(169,1)}
       165:{3}:{(158,1)}
       166:{2,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,5}:{(160,1),(162,1),(171,1)}
       168:{1,7}:{(161,1),(162,1)}
       169:{1,3}:{(163,1),(164,1),(172,1)}
       170:{2,3}:{(165,1),(166,1),(173,1)}
       171:{1,4}:{(166,1),(167,1),(173,1)}
       172:{2}:{(169,1)}
       173:{1,3}:{(170,1),(171,1),(174,1)}
       174:{2}:{(173,1)}

 150 :   0:{1,4,6,7}:{(1,1),(2,1),(3,1),(19,1),(20,1),(37,1),(78,1)}
         1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(22,1),(27,1),(28,1),(32,1),(58,1)}
         2:{1,3,6,7}:{(0,1),(5,1),(7,1),(8,1),(35,1),(100,1)}
         3:{1,5,7}:{(0,1),(6,1),(9,1)}
         4:{1,4,6,7}:{(1,1),(11,1),(12,1),(16,1),(40,1),(41,1),(48,1)}
         5:{3,6,7}:{(1,1),(13,1),(45,1),(50,1),(80,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(13,1),(14,1)}
         7:{2,6,7}:{(2,1),(16,1),(17,1),(54,1),(122,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1),(50,1)}
         9:{1,5,6}:{(3,1),(14,1),(20,1),(128,1)}
        10:{1,4,5,7}:{(3,1),(15,1),(19,1),(20,1),(21,1),(51,1),(78,1),(85,1),(88,1),(120,1),(128,1)}
        11:{1,3,6,7}:{(4,1),(5,1),(22,1),(23,1),(61,1),(69,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1)}
        13:{3,5,7}:{(5,1),(6,1),(26,1),(27,1)}
        14:{2,5,6}:{(6,1),(9,1),(24,1),(26,1),(28,1),(108,1),(145,1)}
        15:{2,4,5,7}:{(6,1),(10,1),(25,1),(27,1),(28,1),(29,1),(32,1),(36,1),(58,1),(62,1),(63,1),(65,1),(70,1),(101,1),(108,1),(110,1),(145,1),(165,1)}
        16:{1,6,7}:{(7,1),(30,1),(76,1),(139,1)}
        17:{2,5,7}:{(7,1),(8,1),(30,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(33,1),(35,1),(71,1),(73,1)}
        19:{1,4,7}:{(8,1),(27,1),(32,1),(33,1),(114,1)}
        20:{1,4,6}:{(9,1),(10,1),(28,1),(35,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(29,1),(34,1),(35,1),(36,1),(73,1),(100,1),(137,1)}
        22:{2,6,7}:{(11,1),(37,1),(38,1),(84,1),(93,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(38,1),(39,1),(40,1),(80,1)}
        24:{1,5,6}:{(12,1),(14,1),(41,1),(128,1)}
        25:{1,4,5,7}:{(12,1),(15,1),(40,1),(41,1),(42,1),(48,1),(55,1),(81,1),(88,1),(91,1),(128,1)}
        26:{3,5,6}:{(13,1),(14,1),(43,1),(45,1),(86,1),(157,1)}
        27:{4,7}:{(13,1),(43,1)}
        28:{2,4,6}:{(14,1),(15,1),(20,1),(41,1),(43,1),(45,1),(54,1),(84,1)}
        29:{3,5,7}:{(15,1),(44,1),(45,1),(50,1),(80,1),(86,1),(94,1),(123,1),(130,1),(157,1)}
        30:{1,5,7}:{(16,1),(17,1),(47,1),(48,1)}
        31:{2,5,6}:{(17,1),(18,1),(47,1),(49,1),(54,1),(97,1)}
        32:{2,4,7}:{(17,1),(19,1),(48,1),(49,1),(50,1),(93,1)}
        33:{1,4,6}:{(18,1),(19,1),(43,1),(49,1),(51,1),(133,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(44,1),(50,1),(52,1),(53,1),(88,1),(96,1),(130,1),(151,1)}
        35:{1,3,6}:{(20,1),(21,1),(45,1),(54,1)}
        36:{2,5,7}:{(21,1),(53,1),(54,1),(55,1),(97,1),(122,1),(152,1)}
        37:{1,6,7}:{(22,1),(56,1),(107,1),(114,1)}
        38:{2,5,7}:{(22,1),(23,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(57,1),(59,1),(61,1),(102,1),(104,1)}
        40:{1,4,7}:{(23,1),(27,1),(58,1),(59,1),(139,1)}
        41:{1,4,6}:{(24,1),(25,1),(28,1),(61,1),(76,1)}
        42:{1,3,5,7}:{(25,1),(29,1),(60,1),(61,1),(62,1),(69,1),(104,1),(112,1)}
        43:{4,6}:{(26,1),(27,1),(63,1),(165,1)}
        44:{3,4,7}:{(27,1),(29,1),(64,1),(65,1),(115,1),(140,1),(165,1)}
        45:{3,6}:{(28,1),(29,1)}
        46:{2,3,5,7}:{(29,1),(36,1),(62,1),(65,1),(66,1),(67,1),(72,1),(103,1),(108,1),(116,1),(141,1)}
        47:{1,5,6}:{(30,1),(31,1),(68,1),(76,1),(119,1)}
        48:{1,4,7}:{(30,1),(32,1),(68,1),(69,1)}
        49:{2,4,6}:{(31,1),(32,1),(33,1),(68,1),(70,1),(71,1),(113,1)}
        50:{3,7}:{(32,1),(71,1)}
        51:{1,4,5}:{(33,1),(63,1),(70,1),(73,1),(148,1),(149,1),(165,1)}
        52:{1,3,4,6}:{(33,1),(34,1),(35,1),(64,1),(71,1),(73,1),(74,1),(109,1),(115,1),(117,1),(146,1),(149,1),(165,1),(167,1)}
        53:{2,4,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(118,1),(161,1)}
        54:{2,6}:{(35,1),(36,1),(76,1)}
        55:{1,5,7}:{(36,1),(75,1),(76,1),(119,1),(139,1),(162,1)}
        56:{1,5,7}:{(37,1),(38,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(79,1),(84,1),(126,1)}
        58:{2,4,7}:{(38,1),(40,1),(78,1),(79,1),(80,1),(122,1)}
        59:{1,4,6}:{(39,1),(40,1),(43,1),(79,1),(81,1),(153,1)}
        60:{1,3,4,7}:{(40,1),(42,1),(44,1),(80,1),(82,1),(83,1),(88,1),(125,1),(130,1),(131,1)}
        61:{1,3,6}:{(41,1),(42,1),(45,1),(84,1)}
        62:{2,5,7}:{(42,1),(83,1),(84,1),(85,1),(93,1),(126,1),(132,1)}
        63:{4,5}:{(43,1),(86,1)}
        64:{3,4,6}:{(43,1),(44,1),(45,1),(86,1),(87,1)}
        65:{2,4,7}:{(44,1),(46,1),(87,1),(88,1),(134,1),(154,1)}
        66:{2,3,6}:{(45,1),(46,1),(54,1),(84,1),(87,1),(89,1)}
        67:{1,3,5,7}:{(46,1),(55,1),(85,1),(88,1),(89,1),(90,1),(96,1),(125,1),(128,1),(130,1),(135,1),(155,1),(157,1)}
        68:{1,4,6}:{(47,1),(48,1),(49,1),(91,1),(92,1)}
        69:{1,3,7}:{(48,1),(50,1),(92,1),(93,1)}
        70:{2,4,5}:{(49,1),(51,1),(91,1),(94,1),(97,1),(132,1),(134,1),(160,1)}
        71:{3,6}:{(49,1),(50,1),(94,1)}
        72:{2,3,7}:{(50,1),(53,1),(93,1),(95,1),(96,1),(130,1),(168,1)}
        73:{1,3,5}:{(51,1),(52,1),(86,1),(94,1),(97,1),(128,1),(157,1)}
        74:{2,4,6}:{(52,1),(53,1),(54,1),(95,1),(97,1),(98,1),(134,1),(136,1),(160,1)}
        75:{1,4,7}:{(53,1),(55,1),(96,1),(98,1),(169,1)}
        76:{1,6}:{(54,1),(55,1)}
        77:{1,5,6}:{(56,1),(57,1),(99,1),(107,1),(144,1)}
        78:{1,4,7}:{(56,1),(58,1),(99,1),(100,1)}
        79:{2,4,6}:{(57,1),(58,1),(59,1),(99,1),(101,1),(102,1),(138,1)}
        80:{3,7}:{(58,1),(102,1)}
        81:{1,4,5}:{(59,1),(63,1),(101,1),(104,1),(162,1),(163,1),(165,1)}
        82:{1,3,4,6}:{(59,1),(60,1),(61,1),(64,1),(102,1),(104,1),(105,1),(109,1),(140,1),(142,1),(146,1),(163,1),(165,1),(173,1)}
        83:{2,4,7}:{(60,1),(62,1),(103,1),(105,1),(106,1),(143,1),(147,1)}
        84:{2,6}:{(61,1),(62,1),(107,1)}
        85:{1,5,7}:{(62,1),(106,1),(107,1),(114,1),(144,1),(148,1)}
        86:{3,5}:{(63,1),(64,1),(108,1)}
        87:{2,4,6}:{(64,1),(65,1),(66,1),(108,1),(109,1)}
        88:{1,4,7}:{(65,1),(67,1),(109,1),(110,1),(149,1),(163,1),(165,1)}
        89:{1,3,6}:{(66,1),(67,1),(76,1),(107,1),(109,1),(111,1),(146,1)}
        90:{2,5,7}:{(67,1),(110,1),(111,1),(118,1),(143,1),(145,1),(150,1),(164,1)}
        91:{1,4,5}:{(68,1),(70,1),(112,1),(119,1),(149,1)}
        92:{1,3,6}:{(68,1),(69,1),(71,1),(112,1),(113,1)}
        93:{2,7}:{(69,1),(113,1),(114,1)}
        94:{3,5}:{(70,1),(71,1),(115,1),(167,1)}
        95:{2,3,6}:{(71,1),(72,1),(74,1),(113,1),(116,1),(117,1),(146,1),(167,1)}
        96:{1,3,7}:{(72,1),(75,1),(114,1),(117,1),(118,1),(172,1)}
        97:{2,5}:{(73,1),(74,1),(119,1)}
        98:{1,4,6}:{(74,1),(75,1),(76,1),(117,1),(119,1),(149,1)}
        99:{1,4,6}:{(77,1),(78,1),(79,1),(120,1),(121,1)}
       100:{1,3,7}:{(78,1),(80,1),(121,1),(122,1)}
       101:{2,4,5}:{(79,1),(81,1),(120,1),(123,1),(126,1),(152,1),(154,1),(170,1)}
       102:{3,6}:{(79,1),(80,1),(123,1)}
       103:{2,3,7}:{(80,1),(83,1),(122,1),(124,1),(125,1),(130,1),(158,1)}
       104:{1,3,5}:{(81,1),(82,1),(86,1),(123,1),(126,1),(128,1),(157,1)}
       105:{2,4,6}:{(82,1),(83,1),(84,1),(124,1),(126,1),(127,1),(154,1),(156,1),(170,1)}
       106:{1,4,7}:{(83,1),(85,1),(125,1),(127,1),(159,1)}
       107:{1,6}:{(84,1),(85,1)}
       108:{2,5}:{(86,1),(87,1),(128,1)}
       109:{1,4,6}:{(87,1),(88,1),(89,1),(128,1),(129,1)}
       110:{2,4,7}:{(88,1),(90,1),(129,1),(130,1),(160,1),(170,1)}
       111:{2,6}:{(89,1),(90,1)}
       112:{1,3,5}:{(91,1),(92,1),(94,1),(131,1),(132,1)}
       113:{2,6}:{(92,1),(93,1),(132,1),(133,1)}
       114:{1,7}:{(93,1),(133,1)}
       115:{3,4}:{(94,1),(134,1)}
       116:{2,3,5}:{(94,1),(95,1),(97,1),(132,1),(134,1),(135,1),(157,1),(158,1)}
       117:{1,3,6}:{(95,1),(96,1),(98,1),(133,1),(135,1),(136,1)}
       118:{2,7}:{(96,1),(136,1),(174,1)}
       119:{1,5}:{(97,1),(98,1)}
       120:{1,4,5}:{(99,1),(101,1),(137,1),(144,1),(163,1)}
       121:{1,3,6}:{(99,1),(100,1),(102,1),(137,1),(138,1)}
       122:{2,7}:{(100,1),(138,1),(139,1)}
       123:{3,5}:{(101,1),(102,1),(140,1),(173,1)}
       124:{2,3,6}:{(102,1),(103,1),(105,1),(138,1),(141,1),(142,1),(146,1),(173,1)}
       125:{1,3,7}:{(103,1),(106,1),(139,1),(142,1),(143,1),(166,1)}
       126:{2,5}:{(104,1),(105,1),(144,1)}
       127:{1,4,6}:{(105,1),(106,1),(107,1),(142,1),(144,1),(163,1)}
       128:{1,5}:{(108,1),(109,1),(145,1)}
       129:{2,4,6}:{(109,1),(110,1),(111,1),(145,1),(146,1),(165,1)}
       130:{3,7}:{(110,1),(146,1),(167,1),(173,1)}
       131:{1,3,4}:{(112,1),(115,1),(147,1),(149,1),(166,1),(167,1)}
       132:{2,5}:{(112,1),(113,1),(147,1),(148,1)}
       133:{1,6}:{(113,1),(114,1),(148,1)}
       134:{2,4}:{(115,1),(116,1),(149,1),(165,1)}
       135:{1,3,5}:{(116,1),(117,1),(119,1),(148,1),(149,1),(150,1),(166,1),(167,1)}
       136:{2,6}:{(117,1),(118,1),(150,1)}
       137:{1,3,5}:{(120,1),(121,1),(123,1),(151,1),(152,1)}
       138:{2,6}:{(121,1),(122,1),(152,1),(153,1)}
       139:{1,7}:{(122,1),(153,1)}
       140:{3,4}:{(123,1),(154,1)}
       141:{2,3,5}:{(123,1),(124,1),(126,1),(152,1),(154,1),(155,1),(157,1),(168,1)}
       142:{1,3,6}:{(124,1),(125,1),(127,1),(153,1),(155,1),(156,1)}
       143:{2,7}:{(125,1),(156,1),(171,1)}
       144:{1,5}:{(126,1),(127,1)}
       145:{2,5}:{(128,1),(129,1),(157,1)}
       146:{3,6}:{(129,1),(130,1),(157,1)}
       147:{2,4}:{(131,1),(132,1),(158,1),(159,1),(171,1)}
       148:{1,5}:{(132,1),(133,1),(159,1)}
       149:{1,4}:{(134,1),(135,1),(160,1)}
       150:{2,5}:{(135,1),(136,1),(160,1),(171,1)}
       151:{1,3,4}:{(137,1),(140,1),(161,1),(163,1),(172,1),(173,1)}
       152:{2,5}:{(137,1),(138,1),(161,1),(162,1)}
       153:{1,6}:{(138,1),(139,1),(162,1)}
       154:{2,4}:{(140,1),(141,1),(163,1),(165,1)}
       155:{1,3,5}:{(141,1),(142,1),(144,1),(162,1),(163,1),(164,1),(172,1),(173,1)}
       156:{2,6}:{(142,1),(143,1),(164,1)}
       157:{3,5}:{(145,1),(146,1),(165,1)}
       158:{2,3}:{(147,1),(166,1),(167,1)}
       159:{1,4}:{(147,1),(148,1),(166,1)}
       160:{2,4}:{(149,1),(150,1),(167,1)}
       161:{2,4}:{(151,1),(152,1),(168,1),(169,1),(174,1)}
       162:{1,5}:{(152,1),(153,1),(169,1)}
       163:{1,4}:{(154,1),(155,1),(170,1)}
       164:{2,5}:{(155,1),(156,1),(170,1),(174,1)}
       165:{4}:{(157,1)}
       166:{1,3}:{(158,1),(159,1),(171,1)}
       167:{3}:{(160,1)}
       168:{2,3}:{(161,1),(172,1),(173,1)}
       169:{1,4}:{(161,1),(162,1),(172,1)}
       170:{2,4}:{(163,1),(164,1),(173,1)}
       171:{2}:{(166,1)}
       172:{1,3}:{(168,1),(169,1),(174,1)}
       173:{3}:{(170,1)}
       174:{2}:{(172,1)}

 151 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(17,1),(20,1),(39,1),(43,1)}
         1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(23,1),(29,1),(60,1),(61,1),(64,1)}
         2:{2,4}:{(0,1),(5,1),(8,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(31,1),(65,1)}
         4:{2,5}:{(1,1),(11,1),(12,1),(81,1)}
         5:{1,4}:{(1,1),(2,1),(11,1),(82,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(40,1),(85,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(20,1),(43,1),(52,1),(106,1),(129,1),(140,1)}
         8:{3,4}:{(2,1),(17,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(15,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(16,1),(21,1),(50,1),(86,1)}
        11:{2,4}:{(4,1),(5,1),(23,1)}
        12:{2,6}:{(4,1),(6,1),(25,1)}
        13:{1,4,5}:{(5,1),(7,1),(22,1),(26,1),(27,1),(29,1),(64,1),(91,1),(120,1)}
        14:{1,3,4}:{(5,1),(8,1),(23,1),(26,1),(28,1),(55,1),(60,1),(91,1),(118,1)}
        15:{1,4,6}:{(5,1),(6,1),(9,1),(24,1),(29,1),(30,1),(68,1)}
        16:{1,3,7}:{(6,1),(10,1),(25,1),(30,1),(62,1),(103,1)}
        17:{3,5}:{(7,1),(8,1),(31,1),(118,1)}
        18:{2,4,6}:{(7,1),(27,1),(31,1),(32,1),(33,1),(65,1),(69,1)}
        19:{3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(69,1),(73,1)}
        20:{2,5}:{(9,1),(29,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(13,1),(37,1),(38,1),(41,1),(43,1),(74,1),(82,1),(108,1),(110,1)}
        23:{3}:{(11,1)}
        24:{2,4,6}:{(11,1),(12,1),(15,1),(40,1),(41,1),(42,1),(82,1),(84,1),(116,1)}
        25:{2,7}:{(12,1),(16,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(37,1),(43,1),(44,1)}
        27:{1,4,6}:{(13,1),(18,1),(38,1),(44,1),(45,1),(46,1),(85,1)}
        28:{2,4}:{(14,1),(39,1),(43,1),(47,1),(81,1)}
        29:{1,5}:{(15,1),(20,1),(41,1)}
        30:{1,4,7}:{(15,1),(16,1),(21,1),(42,1),(48,1)}
        31:{3,6}:{(17,1),(18,1),(50,1)}
        32:{2,5,6}:{(18,1),(20,1),(45,1),(49,1),(51,1),(54,1),(129,1),(142,1)}
        33:{2,4,7}:{(18,1),(46,1),(50,1),(51,1),(86,1),(88,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(50,1),(53,1),(88,1)}
        36:{2,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(23,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(27,1),(57,1),(58,1),(59,1),(65,1),(98,1)}
        39:{2,3}:{(23,1),(28,1),(60,1),(118,1)}
        40:{3,6}:{(23,1),(24,1),(61,1),(62,1)}
        41:{2,5}:{(24,1),(29,1),(61,1),(127,1)}
        42:{2,4,7}:{(24,1),(25,1),(30,1),(62,1),(63,1),(101,1)}
        43:{2,5}:{(26,1),(28,1),(64,1),(65,1)}
        44:{1,3,6}:{(26,1),(27,1),(31,1),(57,1),(65,1),(66,1)}
        45:{1,5,6}:{(27,1),(29,1),(32,1),(58,1),(67,1),(68,1),(120,1),(138,1)}
        46:{1,4,7}:{(27,1),(33,1),(59,1),(66,1),(67,1),(103,1)}
        47:{1,4}:{(28,1),(60,1),(64,1)}
        48:{1,5,7}:{(29,1),(30,1),(36,1),(63,1),(68,1)}
        49:{3,5,6}:{(31,1),(32,1),(34,1),(69,1),(70,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        50:{3,7}:{(31,1),(33,1)}
        51:{2,5,7}:{(32,1),(33,1),(67,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(69,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(68,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(82,1)}
        56:{2,3,5}:{(37,1),(39,1),(43,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(45,1),(78,1),(80,1),(84,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(46,1),(79,1),(80,1),(86,1),(114,1)}
        60:{1,3}:{(39,1),(47,1),(81,1)}
        61:{3,5}:{(40,1),(41,1),(82,1)}
        62:{3,7}:{(40,1),(42,1)}
        63:{2,5,7}:{(41,1),(42,1),(48,1),(83,1),(84,1)}
        64:{1,5}:{(43,1),(47,1),(85,1)}
        65:{2,6}:{(43,1),(44,1),(85,1),(86,1)}
        66:{1,3,7}:{(44,1),(46,1),(50,1),(79,1),(86,1)}
        67:{1,5,7}:{(45,1),(46,1),(51,1),(80,1),(87,1)}
        68:{1,6}:{(48,1),(54,1),(84,1)}
        69:{4,6}:{(49,1),(52,1),(88,1),(140,1)}
        70:{3,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1),(117,1)}
        71:{2,6,7}:{(51,1),(54,1),(87,1),(89,1),(142,1)}
        72:{4,5,7}:{(52,1),(53,1),(88,1),(90,1),(117,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(64,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(65,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(61,1),(93,1),(98,1),(99,1),(102,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(67,1),(99,1),(100,1)}
        81:{2}:{(60,1)}
        82:{4}:{(61,1)}
        83:{3,5,7}:{(61,1),(62,1),(63,1),(101,1),(102,1),(127,1)}
        84:{2,6}:{(63,1),(68,1),(102,1)}
        85:{1,6}:{(64,1),(65,1),(103,1)}
        86:{2,7}:{(65,1),(66,1),(103,1)}
        87:{1,6,7}:{(67,1),(68,1),(71,1),(100,1),(138,1)}
        88:{4,7}:{(69,1),(70,1)}
        89:{3,6,7}:{(70,1),(71,1),(73,1),(104,1),(144,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(81,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(85,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(86,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(82,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(84,1),(87,1),(115,1),(132,1)}
       101:{4,7}:{(82,1),(83,1),(116,1)}
       102:{3,6}:{(83,1),(84,1),(116,1)}
       103:{1,7}:{(85,1),(86,1)}
       104:{4,6,7}:{(88,1),(89,1),(90,1),(117,1),(145,1)}
       105:{5,6}:{(90,1),(117,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(103,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(102,1),(124,1),(126,1)}
       116:{4,6}:{(101,1),(102,1),(127,1)}
       117:{5,7}:{(104,1),(105,1),(146,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(116,1),(133,1),(134,1)}
       127:{5}:{(116,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 152 :   0:{2,3,6}:{(1,1),(2,1),(3,1),(4,1),(55,1),(85,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(100,1)}
         2:{2,4,6}:{(0,1),(6,1),(9,1),(10,1),(11,1),(12,1),(39,1)}
         3:{2,3,5}:{(0,1),(7,1),(10,1),(12,1),(38,1),(65,1),(69,1)}
         4:{2,3,7}:{(0,1),(8,1),(11,1),(74,1),(101,1)}
         5:{2,6}:{(1,1),(14,1),(15,1)}
         6:{1,4,6}:{(1,1),(2,1),(13,1),(16,1),(17,1),(18,1),(49,1)}
         7:{1,3,5}:{(1,1),(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(84,1),(87,1)}
         8:{1,3,7}:{(1,1),(4,1),(15,1),(17,1),(41,1),(113,1)}
         9:{3,4,6}:{(2,1),(19,1),(20,1),(24,1),(51,1),(54,1),(55,1)}
        10:{2,5}:{(2,1),(16,1),(19,1)}
        11:{2,4,7}:{(2,1),(4,1),(17,1),(20,1),(23,1)}
        12:{2,4}:{(3,1),(18,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(27,1),(28,1),(59,1),(64,1),(95,1)}
        14:{2,5}:{(5,1),(7,1),(28,1),(99,1)}
        15:{2,7}:{(5,1),(8,1)}
        16:{1,5}:{(6,1),(10,1),(26,1)}
        17:{1,4,7}:{(6,1),(8,1),(11,1),(27,1),(31,1)}
        18:{1,4}:{(7,1),(12,1),(28,1),(59,1)}
        19:{3,5}:{(9,1),(10,1),(34,1)}
        20:{3,4,7}:{(9,1),(11,1),(35,1),(71,1),(74,1)}
        21:{2,5,6}:{(10,1),(29,1),(33,1),(36,1),(37,1),(39,1),(131,1),(142,1)}
        22:{2,4,5}:{(10,1),(12,1),(30,1),(34,1),(36,1),(38,1),(69,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(10,1),(11,1),(31,1),(35,1),(39,1)}
        24:{3,4}:{(12,1),(38,1),(140,1)}
        25:{3,6}:{(13,1),(40,1),(41,1),(45,1)}
        26:{2,5}:{(13,1),(16,1),(40,1),(109,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(41,1),(44,1),(78,1)}
        28:{2,4}:{(14,1),(18,1),(45,1)}
        29:{1,5,6}:{(16,1),(21,1),(42,1),(46,1),(47,1),(49,1),(123,1),(138,1)}
        30:{1,4,5}:{(16,1),(18,1),(22,1),(43,1),(46,1),(48,1),(87,1),(108,1),(123,1)}
        31:{1,5,7}:{(16,1),(17,1),(23,1),(44,1),(49,1)}
        32:{1,3,4}:{(18,1),(24,1),(45,1),(48,1),(50,1),(77,1),(84,1),(108,1),(129,1)}
        33:{3,5,6}:{(19,1),(21,1),(51,1),(52,1),(54,1),(55,1),(89,1),(136,1),(144,1),(146,1)}
        34:{4,5}:{(19,1),(51,1),(146,1)}
        35:{3,5,7}:{(19,1),(20,1),(23,1),(53,1),(54,1)}
        36:{2,4,6}:{(21,1),(22,1),(46,1),(51,1),(55,1),(56,1),(85,1)}
        37:{2,5,7}:{(21,1),(47,1),(52,1),(56,1),(57,1)}
        38:{3,5}:{(22,1),(24,1),(55,1),(129,1)}
        39:{2,6}:{(23,1),(49,1),(54,1)}
        40:{3,5}:{(25,1),(26,1),(59,1)}
        41:{3,7}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(29,1),(58,1),(61,1),(62,1),(64,1),(114,1),(133,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(59,1),(61,1),(63,1),(69,1),(90,1),(94,1),(114,1)}
        44:{2,5,7}:{(26,1),(27,1),(31,1),(60,1),(64,1)}
        45:{3}:{(28,1)}
        46:{1,4,6}:{(29,1),(30,1),(36,1),(61,1),(66,1),(67,1),(100,1)}
        47:{1,5,7}:{(29,1),(37,1),(62,1),(67,1),(68,1)}
        48:{1,3,5}:{(30,1),(32,1),(38,1),(63,1),(66,1),(69,1)}
        49:{1,6}:{(31,1),(39,1),(64,1)}
        50:{2,4}:{(32,1),(65,1),(69,1),(70,1),(99,1)}
        51:{4,6}:{(33,1),(34,1),(71,1),(140,1)}
        52:{3,5,7}:{(33,1),(37,1),(71,1),(72,1),(74,1),(102,1)}
        53:{4,5,7}:{(34,1),(35,1),(71,1),(73,1),(102,1)}
        54:{3,6}:{(35,1),(39,1),(73,1)}
        55:{3,6}:{(36,1),(38,1),(74,1)}
        56:{2,4,7}:{(36,1),(37,1),(67,1),(71,1),(74,1),(101,1)}
        57:{2,6,7}:{(37,1),(39,1),(68,1),(72,1),(142,1)}
        58:{3,5,6}:{(40,1),(42,1),(75,1),(76,1),(79,1),(80,1),(103,1),(109,1),(125,1),(126,1)}
        59:{4}:{(40,1)}
        60:{3,5,7}:{(40,1),(41,1),(44,1),(78,1),(79,1),(109,1)}
        61:{2,4,6}:{(42,1),(43,1),(46,1),(75,1),(80,1),(81,1),(85,1)}
        62:{2,5,7}:{(42,1),(47,1),(76,1),(81,1),(82,1)}
        63:{3,5}:{(43,1),(45,1),(77,1),(80,1)}
        64:{2,6}:{(44,1),(49,1),(79,1)}
        65:{2,3}:{(45,1),(50,1),(84,1),(129,1)}
        66:{1,3,6}:{(46,1),(48,1),(55,1),(80,1),(85,1),(86,1)}
        67:{1,4,7}:{(46,1),(47,1),(56,1),(81,1),(86,1),(113,1)}
        68:{1,6,7}:{(47,1),(49,1),(57,1),(82,1),(138,1)}
        69:{2,5}:{(48,1),(50,1),(85,1),(87,1)}
        70:{1,4}:{(50,1),(84,1),(87,1)}
        71:{4,7}:{(51,1),(52,1)}
        72:{3,6,7}:{(52,1),(54,1),(57,1),(88,1),(144,1)}
        73:{4,6}:{(53,1),(54,1),(89,1)}
        74:{3,7}:{(55,1),(56,1)}
        75:{4,6}:{(58,1),(59,1),(90,1),(92,1)}
        76:{3,5,7}:{(58,1),(62,1),(92,1),(93,1),(97,1),(119,1)}
        77:{3,4}:{(59,1),(63,1),(94,1)}
        78:{4,7}:{(59,1),(60,1),(95,1)}
        79:{3,6}:{(60,1),(64,1),(95,1)}
        80:{3,6}:{(61,1),(63,1),(97,1)}
        81:{2,4,7}:{(61,1),(62,1),(67,1),(92,1),(97,1),(101,1)}
        82:{2,6,7}:{(62,1),(64,1),(68,1),(93,1),(133,1)}
        83:{2,3,5}:{(63,1),(65,1),(69,1),(94,1),(96,1),(98,1),(114,1)}
        84:{1,3}:{(65,1),(70,1),(99,1)}
        85:{2,6}:{(66,1),(69,1),(100,1),(101,1)}
        86:{1,3,7}:{(66,1),(67,1),(74,1),(97,1),(101,1)}
        87:{1,5}:{(69,1),(70,1),(100,1)}
        88:{4,6,7}:{(71,1),(72,1),(73,1),(102,1),(145,1)}
        89:{5,6}:{(73,1),(102,1)}
        90:{4,5}:{(75,1),(103,1),(109,1)}
        91:{3,4,6}:{(75,1),(77,1),(80,1),(103,1),(105,1),(106,1),(125,1)}
        92:{4,7}:{(75,1),(76,1)}
        93:{3,6,7}:{(76,1),(79,1),(82,1),(107,1),(125,1)}
        94:{2,4}:{(77,1),(83,1),(108,1)}
        95:{4,6}:{(78,1),(79,1),(109,1)}
        96:{2,3,6}:{(80,1),(83,1),(85,1),(105,1),(110,1),(111,1)}
        97:{3,7}:{(80,1),(81,1)}
        98:{1,3,5}:{(83,1),(84,1),(87,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
        99:{2}:{(84,1)}
       100:{1,6}:{(85,1),(87,1),(113,1)}
       101:{2,7}:{(85,1),(86,1),(113,1)}
       102:{5,7}:{(88,1),(89,1),(146,1)}
       103:{3,5}:{(90,1),(91,1),(114,1)}
       104:{4,5,7}:{(90,1),(92,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(91,1),(94,1),(96,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(91,1),(92,1),(97,1),(115,1),(118,1)}
       107:{4,6,7}:{(92,1),(93,1),(95,1),(116,1),(119,1)}
       108:{1,4}:{(94,1),(98,1),(120,1),(140,1)}
       109:{5}:{(95,1)}
       110:{1,3,6}:{(96,1),(98,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(96,1),(97,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(98,1),(99,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 153 :   0:{2,3,7}:{(1,1),(2,1),(3,1),(82,1),(104,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(115,1)}
         2:{2,4,7}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(10,1),(67,1),(93,1)}
         4:{2,7}:{(1,1),(12,1)}
         5:{1,4,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         6:{1,3,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(36,1),(105,1)}
         7:{3,4,7}:{(2,1),(16,1),(17,1),(81,1),(82,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(18,1),(19,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1),(20,1)}
        10:{2,3,5}:{(3,1),(15,1),(19,1),(20,1),(50,1),(75,1),(78,1)}
        11:{2,4,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(51,1)}
        12:{2,6}:{(4,1),(6,1),(24,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1),(26,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(23,1),(25,1),(26,1),(27,1)}
        15:{1,3,5}:{(6,1),(10,1),(24,1),(26,1),(27,1),(53,1),(57,1),(91,1),(94,1)}
        16:{3,5,7}:{(7,1),(8,1),(28,1),(29,1),(30,1)}
        17:{3,4,6}:{(7,1),(9,1),(29,1),(30,1),(34,1),(65,1),(67,1)}
        18:{2,6}:{(8,1),(25,1),(29,1)}
        19:{2,5}:{(9,1),(26,1),(30,1)}
        20:{2,4}:{(10,1),(27,1),(34,1)}
        21:{3,7}:{(11,1),(36,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(36,1),(37,1),(38,1),(39,1),(68,1),(71,1)}
        24:{2,5}:{(12,1),(15,1),(39,1),(103,1)}
        25:{1,6}:{(13,1),(18,1),(37,1)}
        26:{1,5}:{(14,1),(19,1),(38,1)}
        27:{1,4}:{(15,1),(20,1),(39,1),(71,1)}
        28:{4,5,7}:{(16,1),(44,1),(47,1),(80,1),(81,1)}
        29:{3,6}:{(16,1),(18,1),(44,1)}
        30:{3,5}:{(17,1),(19,1),(47,1)}
        31:{2,6,7}:{(18,1),(40,1),(45,1),(48,1),(140,1)}
        32:{2,5,6}:{(18,1),(19,1),(41,1),(46,1),(48,1),(49,1),(133,1),(140,1)}
        33:{2,4,5}:{(19,1),(20,1),(42,1),(47,1),(49,1),(50,1),(78,1),(121,1),(133,1),(142,1)}
        34:{3,4}:{(20,1),(50,1),(142,1)}
        35:{3,5,7}:{(21,1),(22,1),(51,1),(52,1),(53,1),(84,1)}
        36:{3,6}:{(21,1),(23,1),(53,1),(57,1)}
        37:{2,6}:{(22,1),(25,1),(52,1)}
        38:{2,5}:{(23,1),(26,1),(53,1),(84,1)}
        39:{2,4}:{(24,1),(27,1),(57,1)}
        40:{1,6,7}:{(25,1),(31,1),(54,1),(58,1),(136,1)}
        41:{1,5,6}:{(25,1),(26,1),(32,1),(55,1),(58,1),(59,1),(126,1),(136,1)}
        42:{1,4,5}:{(26,1),(27,1),(33,1),(56,1),(59,1),(60,1),(94,1),(111,1),(126,1)}
        43:{1,3,4}:{(27,1),(34,1),(57,1),(60,1),(61,1),(87,1),(91,1),(111,1),(129,1)}
        44:{4,6}:{(28,1),(29,1),(63,1)}
        45:{3,6,7}:{(29,1),(31,1),(62,1),(64,1),(143,1)}
        46:{3,5,6}:{(29,1),(30,1),(32,1),(63,1),(64,1),(65,1),(67,1),(138,1),(143,1),(146,1)}
        47:{4,5}:{(30,1),(65,1),(146,1)}
        48:{2,5,7}:{(31,1),(32,1),(58,1),(64,1),(66,1)}
        49:{2,4,6}:{(32,1),(33,1),(59,1),(65,1),(66,1),(67,1),(93,1)}
        50:{3,5}:{(33,1),(34,1),(67,1),(129,1)}
        51:{4,7}:{(35,1),(68,1),(71,1)}
        52:{3,6}:{(35,1),(37,1),(68,1)}
        53:{3,5}:{(36,1),(38,1),(71,1)}
        54:{2,6,7}:{(37,1),(40,1),(69,1),(72,1),(131,1)}
        55:{2,5,6}:{(37,1),(38,1),(41,1),(70,1),(72,1),(73,1),(118,1),(131,1)}
        56:{2,4,5}:{(38,1),(39,1),(42,1),(71,1),(73,1),(74,1),(78,1),(96,1),(99,1),(118,1)}
        57:{3}:{(39,1)}
        58:{1,5,7}:{(40,1),(41,1),(48,1),(72,1),(76,1)}
        59:{1,4,6}:{(41,1),(42,1),(49,1),(73,1),(76,1),(77,1),(105,1)}
        60:{1,3,5}:{(42,1),(43,1),(50,1),(74,1),(77,1),(78,1)}
        61:{2,4}:{(43,1),(75,1),(78,1),(79,1),(103,1)}
        62:{4,6,7}:{(44,1),(45,1),(80,1),(81,1),(145,1)}
        63:{5,6}:{(44,1),(80,1)}
        64:{3,5,7}:{(45,1),(46,1),(48,1),(80,1),(81,1),(82,1)}
        65:{4,6}:{(46,1),(47,1),(81,1),(142,1)}
        66:{2,4,7}:{(48,1),(49,1),(76,1),(81,1),(82,1),(104,1)}
        67:{3,6}:{(49,1),(50,1),(82,1)}
        68:{4,6}:{(51,1),(52,1),(84,1)}
        69:{3,6,7}:{(52,1),(54,1),(83,1),(85,1),(124,1)}
        70:{3,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        71:{4}:{(53,1)}
        72:{2,5,7}:{(54,1),(55,1),(58,1),(85,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(86,1),(88,1),(89,1),(93,1)}
        74:{3,5}:{(56,1),(57,1),(87,1),(89,1)}
        75:{2,3}:{(57,1),(61,1),(91,1),(129,1)}
        76:{1,4,7}:{(58,1),(59,1),(66,1),(88,1),(92,1),(115,1)}
        77:{1,3,6}:{(59,1),(60,1),(67,1),(89,1),(92,1),(93,1)}
        78:{2,5}:{(60,1),(61,1),(93,1),(94,1)}
        79:{1,4}:{(61,1),(91,1),(94,1)}
        80:{5,7}:{(62,1),(63,1),(146,1)}
        81:{4,7}:{(64,1),(65,1)}
        82:{3,7}:{(66,1),(67,1)}
        83:{4,6,7}:{(68,1),(69,1),(95,1),(97,1),(116,1)}
        84:{5}:{(68,1)}
        85:{3,5,7}:{(69,1),(70,1),(72,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{3,4}:{(71,1),(74,1),(99,1)}
        88:{2,4,7}:{(72,1),(73,1),(76,1),(97,1),(100,1),(104,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{2,3,5}:{(74,1),(75,1),(78,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3}:{(75,1),(79,1),(103,1)}
        92:{1,3,7}:{(76,1),(77,1),(82,1),(100,1),(104,1)}
        93:{2,6}:{(77,1),(78,1),(104,1),(105,1)}
        94:{1,5}:{(78,1),(79,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(93,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(91,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2}:{(91,1)}
       104:{2,7}:{(92,1),(93,1),(115,1)}
       105:{1,6}:{(93,1),(94,1),(115,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(104,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(105,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(103,1),(121,1),(123,1)}
       115:{1,7}:{(104,1),(105,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 154 :  0:{3,4}:{(2,1),(3,1)}
        1:{2,3}:{(2,1),(4,1)}
        2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
        3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,3}:{(1,1),(5,1),(9,1),(15,1)}
        5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
        6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
        7:{4,5}:{(3,1),(13,1)}
        8:{3,6}:{(3,1),(12,1),(13,1),(14,1)}
        9:{2}:{(4,1)}
       10:{2,4}:{(5,1),(9,1),(15,1),(16,1),(25,1)}
       11:{1,5}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,6}:{(6,1),(8,1),(17,1),(18,1)}
       13:{4,6}:{(7,1),(8,1),(19,1),(20,1)}
       14:{3,7}:{(8,1),(18,1),(20,1)}
       15:{3}:{(10,1)}
       16:{2,5}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,6}:{(11,1),(12,1),(22,1),(23,1)}
       18:{2,7}:{(12,1),(14,1),(23,1)}
       19:{5,6}:{(13,1),(24,1)}
       20:{4,7}:{(13,1),(14,1),(24,1)}
       21:{3,5}:{(15,1),(16,1),(25,1),(26,1),(31,1)}
       22:{2,6}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,7}:{(17,1),(18,1),(27,1)}
       24:{5,7}:{(19,1),(20,1),(28,1)}
       25:{4}:{(21,1)}
       26:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       27:{2,7}:{(22,1),(23,1),(30,1)}
       28:{6,7}:{(24,1)}
       29:{4,6}:{(25,1),(26,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 155 :  0:{1,2}:{(2,1)}
        1:{2,3}:{(2,1),(3,1)}
        2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
        3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
        4:{2,3}:{(2,1),(8,1)}
        5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
        6:{3,4}:{(3,1),(10,1)}
        7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
        8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
       10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
       11:{2,6}:{(7,1),(14,1),(16,1),(17,1)}
       12:{3,4}:{(8,1),(18,1)}
       13:{2,5}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,6}:{(9,1),(11,1),(19,1),(20,1)}
       15:{4,5}:{(10,1),(21,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(20,1),(22,1)}
       18:{3,5}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,7}:{(14,1),(17,1),(25,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,7}:{(16,1),(17,1),(27,1)}
       23:{4,5}:{(18,1),(28,1)}
       24:{3,6}:{(18,1),(19,1),(28,1),(29,1)}
       25:{2,7}:{(19,1),(20,1),(29,1)}
       26:{5,6}:{(21,1),(30,1)}
       27:{4,7}:{(21,1),(22,1),(30,1)}
       28:{4,6}:{(23,1),(24,1),(31,1),(32,1)}
       29:{3,7}:{(24,1),(25,1),(32,1)}
       30:{5,7}:{(26,1),(27,1),(33,1)}
       31:{5,6}:{(28,1),(34,1)}
       32:{4,7}:{(28,1),(29,1),(34,1)}
       33:{6,7}:{(30,1)}
       34:{5,7}:{(31,1),(32,1),(35,1)}
       35:{6,7}:{(34,1)}

 156 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 157 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 158 :   0:{1,4,5}:{(2,1),(3,1),(4,1),(44,1),(48,1),(78,1)}
         1:{1,3,4}:{(3,1),(5,1),(17,1),(22,1),(48,1),(76,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(10,1),(28,1),(32,1),(64,1),(66,1),(68,1),(87,1),(98,1)}
         3:{1,3,5}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
         4:{1,4,6}:{(0,1),(8,1),(11,1),(12,1),(13,1),(61,1)}
         5:{2,4}:{(1,1),(9,1),(10,1),(14,1),(39,1)}
         6:{1,4,5}:{(2,1),(15,1),(16,1),(23,1),(48,1),(78,1)}
         7:{3,5}:{(2,1),(17,1),(19,1),(76,1)}
         8:{2,4,6}:{(2,1),(4,1),(16,1),(19,1),(20,1),(21,1),(24,1),(45,1),(55,1)}
         9:{2,3}:{(5,1),(22,1),(76,1)}
        10:{2,5}:{(3,1),(5,1),(23,1),(24,1)}
        11:{1,3,6}:{(3,1),(4,1),(19,1),(24,1),(25,1)}
        12:{1,5,6}:{(4,1),(20,1),(26,1),(78,1),(96,1)}
        13:{1,4,7}:{(4,1),(21,1),(25,1),(26,1),(75,1)}
        14:{1,4}:{(5,1),(22,1),(23,1)}
        15:{1,3,5}:{(6,1),(7,1),(27,1),(28,1),(29,1)}
        16:{1,4,6}:{(6,1),(8,1),(29,1),(30,1),(31,1),(40,1)}
        17:{3,4}:{(7,1),(32,1),(98,1)}
        18:{2,3,5}:{(7,1),(9,1),(10,1),(28,1),(32,1),(34,1),(35,1),(59,1),(66,1)}
        19:{3,6}:{(7,1),(8,1),(37,1)}
        20:{2,5,6}:{(8,1),(12,1),(30,1),(36,1),(38,1),(66,1),(87,1),(90,1),(100,1)}
        21:{2,4,7}:{(8,1),(13,1),(31,1),(37,1),(38,1),(41,1),(62,1),(72,1)}
        22:{1,3}:{(9,1),(14,1),(39,1)}
        23:{1,5}:{(10,1),(14,1),(40,1)}
        24:{2,6}:{(10,1),(11,1),(40,1),(41,1)}
        25:{1,3,7}:{(11,1),(13,1),(37,1),(41,1)}
        26:{1,5,7}:{(12,1),(13,1),(38,1),(42,1)}
        27:{1,3,4}:{(15,1),(17,1),(43,1),(48,1),(74,1),(76,1)}
        28:{2,5}:{(15,1),(43,1),(44,1),(45,1)}
        29:{1,3,6}:{(15,1),(16,1),(19,1),(45,1),(46,1)}
        30:{1,5,6}:{(16,1),(20,1),(47,1),(78,1),(96,1)}
        31:{1,4,7}:{(16,1),(21,1),(46,1),(47,1),(58,1)}
        32:{2,4}:{(17,1),(18,1),(48,1)}
        33:{3,4,6}:{(17,1),(19,1),(49,1),(50,1),(51,1),(55,1),(82,1)}
        34:{1,3,5}:{(18,1),(22,1),(23,1),(44,1),(48,1),(52,1),(53,1),(74,1),(76,1),(78,1),(93,1)}
        35:{2,3,6}:{(18,1),(19,1),(24,1),(45,1),(49,1),(53,1),(54,1)}
        36:{3,5,6}:{(19,1),(20,1),(50,1),(55,1),(56,1),(82,1),(93,1),(97,1),(102,1),(104,1)}
        37:{3,7}:{(19,1),(21,1)}
        38:{2,5,7}:{(20,1),(21,1),(26,1),(47,1),(56,1),(57,1)}
        39:{2}:{(22,1)}
        40:{1,6}:{(23,1),(24,1),(58,1)}
        41:{2,7}:{(24,1),(25,1),(58,1)}
        42:{1,6,7}:{(26,1),(57,1),(96,1)}
        43:{2,4}:{(27,1),(28,1),(59,1),(60,1),(85,1)}
        44:{1,5}:{(28,1),(60,1),(61,1)}
        45:{2,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,7}:{(29,1),(31,1),(37,1),(62,1)}
        47:{1,5,7}:{(30,1),(31,1),(38,1),(63,1)}
        48:{1,4}:{(32,1),(34,1),(64,1),(98,1)}
        49:{2,4,6}:{(32,1),(33,1),(35,1),(65,1),(66,1),(67,1),(90,1)}
        50:{3,5}:{(33,1),(66,1),(68,1)}
        51:{3,4,7}:{(33,1),(37,1),(67,1),(69,1),(72,1)}
        52:{2,5}:{(34,1),(39,1),(64,1),(70,1),(85,1)}
        53:{1,3,6}:{(34,1),(35,1),(40,1),(61,1),(65,1),(70,1),(71,1),(86,1)}
        54:{2,3,7}:{(35,1),(37,1),(41,1),(62,1),(67,1),(71,1)}
        55:{4,6}:{(36,1),(68,1),(72,1),(98,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(72,1),(73,1),(92,1)}
        57:{2,6,7}:{(38,1),(42,1),(63,1),(73,1),(90,1),(100,1)}
        58:{1,7}:{(40,1),(41,1)}
        59:{2,3}:{(43,1),(74,1),(76,1)}
        60:{1,4}:{(43,1),(44,1),(74,1)}
        61:{1,6}:{(44,1),(45,1),(75,1)}
        62:{2,7}:{(45,1),(46,1),(75,1)}
        63:{1,6,7}:{(47,1),(57,1),(96,1)}
        64:{2,4}:{(48,1),(52,1),(76,1)}
        65:{1,4,6}:{(48,1),(49,1),(53,1),(77,1),(78,1),(79,1),(96,1)}
        66:{2,5}:{(49,1),(50,1),(78,1)}
        67:{2,4,7}:{(49,1),(51,1),(54,1),(79,1),(80,1)}
        68:{4,5}:{(50,1),(55,1),(104,1)}
        69:{3,5,7}:{(50,1),(51,1),(80,1),(81,1),(82,1)}
        70:{2,6}:{(52,1),(53,1),(83,1)}
        71:{1,3,7}:{(53,1),(54,1),(58,1),(75,1),(79,1),(83,1),(94,1)}
        72:{4,7}:{(55,1),(56,1)}
        73:{3,6,7}:{(56,1),(57,1),(82,1),(84,1),(102,1)}
        74:{1,3}:{(59,1),(60,1),(85,1)}
        75:{1,7}:{(61,1),(62,1)}
        76:{3}:{(64,1)}
        77:{2,4,6}:{(64,1),(65,1),(70,1),(86,1),(87,1),(88,1),(98,1),(100,1),(103,1)}
        78:{1,5}:{(65,1),(66,1),(87,1)}
        79:{1,4,7}:{(65,1),(67,1),(71,1),(88,1),(89,1)}
        80:{2,5,7}:{(66,1),(67,1),(69,1),(89,1),(90,1)}
        81:{4,5,7}:{(68,1),(69,1),(72,1),(91,1),(92,1)}
        82:{3,6}:{(69,1),(90,1),(91,1)}
        83:{2,7}:{(70,1),(71,1)}
        84:{4,6,7}:{(72,1),(73,1),(91,1),(92,1),(103,1)}
        85:{2}:{(74,1)}
        86:{3,6}:{(76,1),(77,1),(93,1),(94,1)}
        87:{2,5}:{(77,1),(78,1),(93,1),(104,1)}
        88:{2,4,7}:{(77,1),(79,1),(83,1),(94,1),(95,1),(101,1)}
        89:{1,5,7}:{(78,1),(79,1),(80,1),(95,1),(96,1)}
        90:{2,6}:{(80,1),(82,1),(96,1)}
        91:{4,6}:{(81,1),(82,1),(97,1)}
        92:{5,7}:{(84,1),(97,1),(104,1)}
        93:{3,5}:{(86,1),(87,1),(98,1)}
        94:{3,7}:{(86,1),(88,1)}
        95:{2,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1)}
        96:{1,6}:{(89,1),(90,1),(100,1)}
        97:{5,6}:{(91,1),(92,1)}
        98:{4}:{(93,1)}
        99:{3,5,7}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 159 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 160 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 161 :   0:{1,3,6,7}:{(1,1),(2,1),(3,1),(12,1),(47,1),(114,1)}
         1:{2,6,7}:{(0,1),(4,1),(6,1),(68,1),(132,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(7,1),(9,1),(29,1),(52,1),(94,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(9,1),(24,1),(28,1)}
         4:{1,6,7}:{(1,1),(11,1),(91,1),(146,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(15,1),(34,1),(41,1),(42,1),(74,1)}
         6:{2,5,7}:{(1,1),(3,1),(11,1),(14,1),(15,1)}
         7:{1,5,7}:{(2,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(47,1),(49,1)}
         9:{1,4,7}:{(3,1),(15,1),(18,1),(41,1),(81,1)}
        10:{1,4,6,7}:{(4,1),(5,1),(20,1),(21,1),(23,1),(55,1),(56,1)}
        11:{1,5,7}:{(4,1),(6,1),(22,1),(23,1)}
        12:{3,6,7}:{(5,1),(24,1),(28,1),(63,1),(96,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(8,1),(22,1),(27,1),(68,1),(70,1)}
        15:{2,4,7}:{(6,1),(9,1),(23,1),(27,1),(28,1),(60,1)}
        16:{1,5,6}:{(7,1),(25,1),(29,1),(140,1)}
        17:{1,4,5,7}:{(7,1),(9,1),(26,1),(29,1),(30,1),(31,1),(94,1),(101,1),(107,1),(130,1),(140,1)}
        18:{1,4,6}:{(8,1),(9,1),(27,1),(31,1),(61,1),(104,1)}
        19:{1,3,4,7}:{(9,1),(28,1),(30,1),(32,1),(33,1),(62,1),(67,1),(107,1),(142,1),(156,1)}
        20:{1,3,6,7}:{(10,1),(12,1),(34,1),(35,1),(39,1),(77,1)}
        21:{1,5,7}:{(10,1),(13,1),(36,1)}
        22:{1,5,6}:{(11,1),(14,1),(38,1),(91,1),(92,1)}
        23:{1,4,7}:{(11,1),(15,1),(38,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(40,1),(42,1),(124,1),(153,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(41,1),(42,1),(43,1),(44,1),(48,1),(74,1),(78,1),(82,1),(84,1),(115,1),(124,1),(126,1),(153,1),(168,1)}
        27:{2,4,6}:{(14,1),(15,1),(18,1),(38,1),(44,1),(45,1),(80,1)}
        28:{3,7}:{(15,1),(45,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(47,1),(121,1)}
        30:{1,3,5,7}:{(17,1),(19,1),(43,1),(47,1),(48,1),(49,1),(114,1),(144,1)}
        31:{1,4,5}:{(18,1),(44,1),(49,1),(82,1),(123,1),(128,1),(168,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(47,1),(49,1),(50,1),(83,1),(87,1),(89,1),(125,1),(128,1),(154,1),(155,1),(168,1)}
        33:{2,4,7}:{(19,1),(46,1),(48,1),(50,1),(51,1),(90,1),(164,1)}
        34:{2,6,7}:{(20,1),(52,1),(53,1),(60,1),(100,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(24,1),(53,1),(54,1),(55,1),(96,1)}
        36:{1,5,6}:{(21,1),(25,1),(56,1),(140,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(69,1),(97,1),(107,1),(140,1)}
        38:{1,4,6}:{(22,1),(23,1),(27,1),(58,1),(59,1)}
        39:{1,3,7}:{(23,1),(28,1),(59,1),(60,1)}
        40:{3,5,6}:{(24,1),(25,1),(61,1),(63,1),(105,1),(163,1)}
        41:{4,7}:{(24,1),(61,1)}
        42:{2,4,6}:{(25,1),(26,1),(29,1),(56,1),(61,1),(63,1),(68,1),(100,1)}
        43:{3,5,7}:{(26,1),(28,1),(62,1),(63,1),(65,1),(96,1),(105,1),(133,1),(142,1),(163,1)}
        44:{2,4,5}:{(27,1),(31,1),(58,1),(65,1),(70,1),(103,1),(110,1),(143,1)}
        45:{3,6}:{(27,1),(28,1),(65,1)}
        46:{2,3,7}:{(28,1),(33,1),(60,1),(66,1),(67,1),(142,1),(169,1)}
        47:{1,3,6}:{(29,1),(30,1),(63,1),(68,1)}
        48:{2,5,7}:{(30,1),(33,1),(68,1),(69,1),(70,1),(132,1),(157,1)}
        49:{1,3,5}:{(31,1),(32,1),(65,1),(70,1),(105,1),(140,1),(163,1)}
        50:{2,4,6}:{(32,1),(33,1),(66,1),(68,1),(70,1),(71,1),(110,1),(112,1),(143,1)}
        51:{1,4,7}:{(33,1),(67,1),(69,1),(71,1),(170,1)}
        52:{1,6,7}:{(34,1),(72,1),(81,1),(121,1)}
        53:{2,5,7}:{(34,1),(35,1),(72,1),(73,1),(74,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(40,1),(73,1),(75,1),(77,1),(116,1),(118,1)}
        55:{1,4,7}:{(35,1),(41,1),(74,1),(75,1),(146,1)}
        56:{1,4,6}:{(36,1),(37,1),(42,1),(77,1),(91,1)}
        57:{1,3,5,7}:{(37,1),(39,1),(43,1),(76,1),(77,1),(78,1),(79,1),(118,1)}
        58:{1,4,5}:{(38,1),(44,1),(79,1),(92,1),(128,1)}
        59:{1,3,6}:{(38,1),(39,1),(45,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(80,1),(81,1)}
        61:{4,6}:{(40,1),(41,1),(82,1),(168,1)}
        62:{3,4,7}:{(41,1),(43,1),(83,1),(84,1),(87,1),(147,1),(168,1)}
        63:{3,6}:{(42,1),(43,1)}
        64:{2,3,5,7}:{(43,1),(46,1),(48,1),(78,1),(84,1),(85,1),(86,1),(88,1),(117,1),(124,1),(148,1)}
        65:{3,5}:{(44,1),(45,1),(87,1),(155,1)}
        66:{2,3,6}:{(45,1),(46,1),(50,1),(80,1),(88,1),(89,1),(154,1),(155,1)}
        67:{1,3,7}:{(46,1),(51,1),(81,1),(89,1),(90,1),(172,1)}
        68:{2,6}:{(47,1),(48,1),(91,1)}
        69:{1,5,7}:{(48,1),(51,1),(91,1),(92,1),(146,1),(165,1)}
        70:{2,5}:{(49,1),(50,1),(92,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(91,1),(92,1),(128,1)}
        72:{1,5,7}:{(52,1),(53,1),(93,1),(94,1)}
        73:{2,5,6}:{(53,1),(54,1),(93,1),(95,1),(100,1),(136,1)}
        74:{2,4,7}:{(53,1),(55,1),(94,1),(95,1),(96,1),(132,1)}
        75:{1,4,6}:{(54,1),(55,1),(61,1),(95,1),(97,1),(158,1)}
        76:{1,3,4,7}:{(55,1),(57,1),(62,1),(96,1),(98,1),(99,1),(102,1),(107,1),(135,1),(142,1)}
        77:{1,3,6}:{(56,1),(57,1),(63,1),(100,1)}
        78:{2,5,7}:{(57,1),(60,1),(99,1),(100,1),(101,1),(103,1),(136,1)}
        79:{1,3,5}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        80:{2,6}:{(59,1),(60,1),(103,1),(104,1)}
        81:{1,7}:{(60,1),(104,1)}
        82:{4,5}:{(61,1),(105,1)}
        83:{3,4,6}:{(61,1),(62,1),(63,1),(105,1),(106,1)}
        84:{2,4,7}:{(62,1),(64,1),(106,1),(107,1),(110,1),(159,1)}
        85:{2,3,6}:{(63,1),(64,1),(68,1),(100,1),(106,1),(108,1)}
        86:{1,3,5,7}:{(64,1),(67,1),(69,1),(101,1),(107,1),(108,1),(109,1),(111,1),(135,1),(140,1),(142,1),(160,1),(163,1)}
        87:{3,4}:{(65,1),(110,1)}
        88:{2,3,5}:{(65,1),(66,1),(70,1),(103,1),(110,1),(111,1),(138,1),(163,1)}
        89:{1,3,6}:{(66,1),(67,1),(71,1),(104,1),(111,1),(112,1)}
        90:{2,7}:{(67,1),(112,1),(174,1)}
        91:{1,6}:{(68,1),(69,1)}
        92:{1,5}:{(70,1),(71,1)}
        93:{1,5,6}:{(72,1),(73,1),(113,1),(121,1),(151,1)}
        94:{1,4,7}:{(72,1),(74,1),(113,1),(114,1)}
        95:{2,4,6}:{(73,1),(74,1),(75,1),(113,1),(115,1),(116,1),(145,1)}
        96:{3,7}:{(74,1),(116,1)}
        97:{1,4,5}:{(75,1),(82,1),(115,1),(118,1),(165,1),(166,1),(168,1)}
        98:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(116,1),(118,1),(119,1),(125,1),(147,1),(149,1),(154,1),(166,1),(168,1),(173,1)}
        99:{2,4,7}:{(76,1),(78,1),(117,1),(119,1),(120,1),(122,1),(150,1)}
       100:{2,6}:{(77,1),(78,1),(121,1)}
       101:{1,5,7}:{(78,1),(81,1),(120,1),(121,1),(123,1),(151,1)}
       102:{1,3,4}:{(79,1),(87,1),(122,1),(128,1),(152,1),(155,1)}
       103:{2,5}:{(79,1),(80,1),(122,1),(123,1)}
       104:{1,6}:{(80,1),(81,1),(123,1)}
       105:{3,5}:{(82,1),(83,1),(124,1)}
       106:{2,4,6}:{(83,1),(84,1),(85,1),(124,1),(125,1)}
       107:{1,4,7}:{(84,1),(86,1),(125,1),(126,1),(128,1),(166,1),(168,1)}
       108:{1,3,6}:{(85,1),(86,1),(91,1),(121,1),(125,1),(127,1),(154,1)}
       109:{2,5,7}:{(86,1),(90,1),(126,1),(127,1),(129,1),(150,1),(153,1),(167,1)}
       110:{2,4}:{(87,1),(88,1),(128,1),(168,1)}
       111:{1,3,5}:{(88,1),(89,1),(92,1),(123,1),(128,1),(129,1),(152,1),(155,1)}
       112:{2,6}:{(89,1),(90,1),(129,1)}
       113:{1,4,6}:{(93,1),(94,1),(95,1),(130,1),(131,1)}
       114:{1,3,7}:{(94,1),(96,1),(131,1),(132,1)}
       115:{2,4,5}:{(95,1),(97,1),(130,1),(133,1),(136,1),(157,1),(159,1),(171,1)}
       116:{3,6}:{(95,1),(96,1),(133,1)}
       117:{2,3,7}:{(96,1),(99,1),(132,1),(134,1),(135,1),(138,1),(142,1)}
       118:{1,3,5}:{(97,1),(98,1),(105,1),(133,1),(136,1),(140,1),(163,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(134,1),(136,1),(137,1),(159,1),(161,1),(171,1)}
       120:{1,4,7}:{(99,1),(101,1),(135,1),(137,1),(139,1)}
       121:{1,6}:{(100,1),(101,1)}
       122:{2,4}:{(102,1),(103,1),(138,1),(139,1),(162,1)}
       123:{1,5}:{(103,1),(104,1),(139,1)}
       124:{2,5}:{(105,1),(106,1),(140,1)}
       125:{1,4,6}:{(106,1),(107,1),(108,1),(140,1),(141,1)}
       126:{2,4,7}:{(107,1),(109,1),(141,1),(142,1),(143,1),(171,1)}
       127:{2,6}:{(108,1),(109,1)}
       128:{1,4}:{(110,1),(111,1),(143,1)}
       129:{2,5}:{(111,1),(112,1),(143,1),(162,1)}
       130:{1,4,5}:{(113,1),(115,1),(144,1),(151,1),(166,1)}
       131:{1,3,6}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{2,7}:{(114,1),(145,1),(146,1)}
       133:{3,5}:{(115,1),(116,1),(147,1),(173,1)}
       134:{2,3,6}:{(116,1),(117,1),(119,1),(145,1),(148,1),(149,1),(154,1),(173,1)}
       135:{1,3,7}:{(117,1),(120,1),(146,1),(149,1),(150,1),(152,1)}
       136:{2,5}:{(118,1),(119,1),(151,1)}
       137:{1,4,6}:{(119,1),(120,1),(121,1),(149,1),(151,1),(166,1)}
       138:{2,3}:{(122,1),(152,1),(155,1)}
       139:{1,4}:{(122,1),(123,1),(152,1)}
       140:{1,5}:{(124,1),(125,1),(153,1)}
       141:{2,4,6}:{(125,1),(126,1),(127,1),(153,1),(154,1),(168,1)}
       142:{3,7}:{(126,1),(154,1),(155,1),(173,1)}
       143:{2,4}:{(128,1),(129,1),(155,1)}
       144:{1,3,5}:{(130,1),(131,1),(133,1),(156,1),(157,1)}
       145:{2,6}:{(131,1),(132,1),(157,1),(158,1)}
       146:{1,7}:{(132,1),(158,1)}
       147:{3,4}:{(133,1),(159,1)}
       148:{2,3,5}:{(133,1),(134,1),(136,1),(157,1),(159,1),(160,1),(163,1),(169,1)}
       149:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(160,1),(161,1)}
       150:{2,7}:{(135,1),(161,1),(162,1)}
       151:{1,5}:{(136,1),(137,1)}
       152:{1,3}:{(138,1),(139,1),(162,1)}
       153:{2,5}:{(140,1),(141,1),(163,1)}
       154:{3,6}:{(141,1),(142,1),(163,1)}
       155:{3}:{(143,1)}
       156:{1,3,4}:{(144,1),(147,1),(164,1),(166,1),(172,1),(173,1)}
       157:{2,5}:{(144,1),(145,1),(164,1),(165,1)}
       158:{1,6}:{(145,1),(146,1),(165,1)}
       159:{2,4}:{(147,1),(148,1),(166,1),(168,1)}
       160:{1,3,5}:{(148,1),(149,1),(151,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       161:{2,6}:{(149,1),(150,1),(167,1)}
       162:{2}:{(152,1)}
       163:{3,5}:{(153,1),(154,1),(168,1)}
       164:{2,4}:{(156,1),(157,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(157,1),(158,1),(170,1)}
       166:{1,4}:{(159,1),(160,1),(171,1)}
       167:{2,5}:{(160,1),(161,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 162 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 163 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

 164 :   0:{2,3,4}:{(1,1),(2,1),(26,1),(60,1)}
         1:{1,3,4}:{(0,1),(3,1),(4,1),(15,1),(44,1),(49,1)}
         2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
         3:{2,4}:{(1,1),(8,1),(9,1)}
         4:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,4,5}:{(2,1),(10,1),(12,1),(13,1),(60,1),(101,1)}
         6:{2,3,6}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,2,4}:{(3,1),(15,1),(16,1),(41,1),(44,1)}
         8:{2,3}:{(3,1),(15,1)}
         9:{2,5}:{(3,1),(4,1),(20,1)}
        10:{1,4,5}:{(4,1),(5,1),(19,1),(21,1),(44,1),(85,1)}
        11:{1,3,6}:{(4,1),(6,1),(20,1),(21,1),(22,1),(52,1)}
        12:{3,4,5}:{(5,1),(23,1),(80,1),(118,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{2,3,7}:{(6,1),(22,1),(25,1)}
        15:{1,3}:{(7,1),(8,1),(26,1)}
        16:{1,2,5}:{(7,1),(9,1),(28,1),(29,1),(59,1)}
        17:{2,3,4}:{(8,1),(27,1),(30,1),(31,1)}
        18:{2,3,5}:{(8,1),(9,1),(28,1),(31,1),(32,1),(33,1),(70,1)}
        19:{2,4,5}:{(9,1),(10,1),(31,1),(33,1),(34,1),(70,1),(109,1)}
        20:{2,6}:{(9,1),(11,1),(35,1)}
        21:{1,4,6}:{(10,1),(11,1),(13,1),(34,1),(36,1),(37,1)}
        22:{1,3,7}:{(11,1),(14,1),(35,1),(37,1),(73,1)}
        23:{3,4,6}:{(12,1),(13,1),(38,1),(39,1)}
        24:{2,5,6}:{(13,1),(36,1),(38,1),(40,1),(101,1),(134,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(39,1),(40,1)}
        26:{2,3}:{(15,1),(41,1)}
        27:{1,3,4}:{(15,1),(17,1),(41,1),(43,1),(44,1),(80,1)}
        28:{1,3,5}:{(15,1),(16,1),(18,1),(42,1),(44,1),(45,1),(85,1)}
        29:{1,2,6}:{(16,1),(20,1),(45,1),(46,1),(79,1)}
        30:{2,3,5}:{(17,1),(43,1),(47,1),(48,1)}
        31:{2,4}:{(18,1),(44,1),(49,1)}
        32:{2,3,6}:{(18,1),(20,1),(45,1),(50,1),(51,1),(52,1)}
        33:{3,5}:{(19,1),(49,1),(52,1)}
        34:{2,4,6}:{(19,1),(20,1),(21,1),(52,1),(53,1),(54,1),(93,1)}
        35:{2,7}:{(20,1),(22,1)}
        36:{1,5,6}:{(21,1),(24,1),(53,1),(55,1),(85,1),(122,1)}
        37:{1,4,7}:{(21,1),(22,1),(25,1),(54,1),(55,1)}
        38:{3,5,6}:{(23,1),(24,1),(56,1),(57,1),(118,1),(144,1)}
        39:{3,4,7}:{(23,1),(25,1),(57,1)}
        40:{2,5,7}:{(24,1),(25,1),(55,1),(57,1),(58,1)}
        41:{2,4}:{(26,1),(27,1),(59,1)}
        42:{2,3,5}:{(26,1),(28,1),(59,1),(60,1),(61,1),(97,1),(101,1)}
        43:{1,3,5}:{(27,1),(30,1),(59,1),(62,1),(63,1),(97,1)}
        44:{1,4}:{(28,1),(31,1),(60,1)}
        45:{1,3,6}:{(28,1),(29,1),(32,1),(61,1),(64,1),(65,1)}
        46:{1,2,7}:{(29,1),(35,1),(65,1),(99,1)}
        47:{2,4,5}:{(30,1),(31,1),(62,1),(66,1),(67,1),(70,1)}
        48:{2,3,6}:{(30,1),(63,1),(67,1),(68,1)}
        49:{3,4}:{(31,1),(33,1)}
        50:{2,4,6}:{(31,1),(32,1),(64,1),(69,1),(70,1),(71,1),(111,1)}
        51:{2,3,7}:{(32,1),(35,1),(65,1),(71,1),(73,1)}
        52:{3,6}:{(33,1),(34,1),(73,1)}
        53:{2,5,6}:{(34,1),(36,1),(70,1),(72,1),(74,1),(111,1)}
        54:{2,4,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(112,1)}
        55:{1,5,7}:{(36,1),(37,1),(40,1),(74,1),(75,1)}
        56:{4,5,6}:{(38,1),(76,1),(132,1),(149,1)}
        57:{3,5,7}:{(38,1),(39,1),(40,1),(76,1),(77,1)}
        58:{2,6,7}:{(40,1),(75,1),(77,1),(134,1)}
        59:{2,5}:{(41,1),(43,1),(79,1)}
        60:{2,4}:{(42,1),(44,1),(80,1)}
        61:{2,3,6}:{(42,1),(45,1),(79,1),(81,1),(82,1),(115,1)}
        62:{1,4,5}:{(43,1),(44,1),(47,1),(78,1),(83,1),(85,1)}
        63:{1,3,6}:{(43,1),(48,1),(79,1),(83,1),(84,1),(115,1)}
        64:{1,4,6}:{(44,1),(45,1),(50,1),(81,1),(85,1),(86,1),(122,1)}
        65:{1,3,7}:{(45,1),(46,1),(51,1),(82,1),(86,1)}
        66:{3,4,5}:{(47,1),(49,1),(87,1),(90,1)}
        67:{2,4,6}:{(47,1),(48,1),(83,1),(87,1),(88,1),(89,1)}
        68:{2,3,7}:{(48,1),(84,1),(89,1)}
        69:{3,4,6}:{(49,1),(50,1),(52,1),(90,1),(91,1),(93,1),(127,1)}
        70:{2,5}:{(50,1),(85,1),(90,1)}
        71:{2,4,7}:{(50,1),(51,1),(86,1),(91,1),(92,1)}
        72:{3,5,6}:{(52,1),(53,1),(90,1),(93,1),(94,1),(127,1),(146,1)}
        73:{3,7}:{(52,1),(54,1)}
        74:{2,5,7}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        75:{1,6,7}:{(55,1),(58,1),(95,1),(122,1)}
        76:{4,5,7}:{(56,1),(57,1),(96,1)}
        77:{3,6,7}:{(57,1),(58,1),(96,1),(144,1)}
        78:{2,4,5}:{(59,1),(60,1),(62,1),(97,1),(98,1),(101,1),(132,1)}
        79:{2,6}:{(59,1),(63,1),(99,1)}
        80:{3,4}:{(60,1),(97,1)}
        81:{2,4,6}:{(60,1),(61,1),(64,1),(100,1),(101,1),(102,1),(134,1)}
        82:{2,3,7}:{(61,1),(65,1),(99,1),(102,1),(130,1)}
        83:{1,4,6}:{(62,1),(63,1),(67,1),(98,1),(103,1),(104,1)}
        84:{1,3,7}:{(63,1),(68,1),(99,1),(104,1),(130,1)}
        85:{1,5}:{(64,1),(70,1),(101,1)}
        86:{1,4,7}:{(64,1),(65,1),(71,1),(102,1),(105,1)}
        87:{3,4,6}:{(66,1),(67,1),(106,1),(107,1)}
        88:{2,5,6}:{(67,1),(70,1),(103,1),(106,1),(108,1),(111,1)}
        89:{2,4,7}:{(67,1),(68,1),(104,1),(107,1),(108,1)}
        90:{3,5}:{(69,1),(70,1),(109,1)}
        91:{3,4,7}:{(69,1),(71,1),(73,1),(110,1),(112,1)}
        92:{2,5,7}:{(70,1),(71,1),(105,1),(110,1),(111,1)}
        93:{4,6}:{(72,1),(109,1),(112,1)}
        94:{3,5,7}:{(72,1),(73,1),(74,1),(112,1),(113,1),(139,1)}
        95:{2,6,7}:{(74,1),(75,1),(111,1),(113,1)}
        96:{4,6,7}:{(76,1),(77,1),(114,1),(149,1)}
        97:{3,5}:{(78,1),(80,1),(115,1)}
        98:{2,4,6}:{(78,1),(79,1),(83,1),(115,1),(116,1),(117,1),(140,1)}
        99:{2,7}:{(79,1),(84,1)}
       100:{3,4,6}:{(80,1),(81,1),(115,1),(118,1),(119,1),(140,1),(144,1)}
       101:{2,5}:{(81,1),(85,1),(118,1)}
       102:{2,4,7}:{(81,1),(82,1),(86,1),(119,1),(120,1)}
       103:{1,5,6}:{(83,1),(85,1),(88,1),(116,1),(121,1),(122,1)}
       104:{1,4,7}:{(83,1),(84,1),(89,1),(117,1),(121,1)}
       105:{1,5,7}:{(85,1),(86,1),(92,1),(120,1),(122,1)}
       106:{3,5,6}:{(87,1),(88,1),(90,1),(123,1),(124,1),(127,1)}
       107:{3,4,7}:{(87,1),(89,1),(124,1)}
       108:{2,5,7}:{(88,1),(89,1),(121,1),(124,1),(125,1)}
       109:{4,5}:{(90,1),(93,1)}
       110:{3,5,7}:{(90,1),(91,1),(92,1),(126,1),(127,1)}
       111:{2,6}:{(92,1),(122,1),(127,1)}
       112:{4,7}:{(93,1),(94,1)}
       113:{3,6,7}:{(94,1),(95,1),(127,1),(128,1)}
       114:{5,6,7}:{(96,1),(152,1)}
       115:{3,6}:{(97,1),(98,1),(130,1)}
       116:{2,5,6}:{(98,1),(101,1),(103,1),(129,1),(131,1),(134,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(131,1),(147,1)}
       118:{3,5}:{(100,1),(101,1),(132,1)}
       119:{3,4,7}:{(100,1),(102,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(105,1),(133,1),(134,1)}
       121:{1,5,7}:{(103,1),(104,1),(108,1),(131,1),(135,1)}
       122:{1,6}:{(105,1),(111,1),(134,1)}
       123:{4,5,6}:{(106,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(106,1),(107,1),(108,1),(136,1),(137,1)}
       125:{2,6,7}:{(108,1),(111,1),(135,1),(137,1)}
       126:{4,5,7}:{(109,1),(110,1),(112,1),(138,1),(139,1)}
       127:{3,6}:{(110,1),(111,1),(138,1)}
       128:{4,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(144,1),(152,1)}
       130:{3,7}:{(115,1),(117,1)}
       131:{2,5,7}:{(116,1),(117,1),(121,1),(141,1),(142,1)}
       132:{4,5}:{(118,1),(140,1)}
       133:{3,5,7}:{(118,1),(119,1),(120,1),(143,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(125,1),(142,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(125,1),(127,1),(145,1)}
       138:{4,6}:{(126,1),(127,1),(146,1)}
       139:{5,7}:{(128,1),(146,1)}
       140:{4,6}:{(129,1),(132,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(131,1),(147,1),(148,1),(153,1)}
       142:{2,6,7}:{(131,1),(134,1),(135,1),(148,1)}
       143:{4,5,7}:{(132,1),(133,1),(147,1),(149,1),(153,1)}
       144:{3,6}:{(133,1),(134,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(142,1),(144,1),(151,1)}
       149:{4,6}:{(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 165 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 166 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(37,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(57,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(28,1),(58,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(78,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(37,1),(44,1),(46,1),(82,1),(83,1),(101,1),(111,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(56,1),(57,1),(62,1),(84,1),(96,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(96,1),(115,1),(119,1),(121,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(28,1),(30,1),(100,1),(115,1),(121,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(28,1),(29,1),(58,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(28,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(37,1),(65,1),(68,1),(75,1),(82,1),(103,1),(104,1),(105,1),(111,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(37,1),(38,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(38,1),(39,1),(78,1)}
        24:{2,4,7}:{(13,1),(33,1),(37,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{2,4,6,7}:{(16,1),(36,1),(43,1),(44,1),(76,1),(83,1),(111,1)}
        28:{3,6}:{(15,1),(16,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(50,1),(54,1),(86,1),(100,1),(121,1)}
        32:{2,4,6}:{(19,1),(23,1),(50,1),(51,1),(58,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(121,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(23,1),(27,1),(48,1),(55,1),(56,1),(94,1),(96,1),(120,1)}
        37:{2,5,7}:{(22,1),(24,1),(57,1),(58,1),(61,1),(123,1),(134,1)}
        38:{1,3,6}:{(22,1),(23,1),(28,1),(50,1),(58,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(56,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(57,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(58,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(121,1)}
        44:{2,5,7}:{(27,1),(29,1),(56,1),(63,1)}
        45:{3,5,6}:{(28,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(105,1),(109,1)}
        48:{2,4,6,7}:{(32,1),(36,1),(67,1),(68,1),(76,1),(105,1),(111,1)}
        49:{2,3,5,7}:{(31,1),(33,1),(37,1),(65,1),(69,1),(70,1),(74,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(68,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,3,6,7}:{(36,1),(38,1),(43,1),(67,1),(76,1),(77,1),(128,1)}
        56:{1,5,7}:{(36,1),(39,1),(44,1),(68,1)}
        57:{1,5,7}:{(37,1),(40,1),(78,1),(81,1),(130,1),(138,1)}
        58:{2,6}:{(37,1),(38,1),(78,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(45,1),(71,1),(77,1),(79,1),(80,1),(113,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(78,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(45,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(121,1)}
        68:{2,5,7}:{(48,1),(51,1),(56,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(52,1),(57,1),(84,1),(88,1),(89,1),(92,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(58,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(54,1),(86,1),(87,1),(90,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{2,6,7}:{(55,1),(58,1),(94,1),(95,1),(134,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(87,1),(95,1),(96,1),(121,1)}
        78:{1,6}:{(57,1),(58,1)}
        79:{2,5,6}:{(58,1),(59,1),(61,1),(95,1),(97,1),(98,1)}
        80:{1,4,6}:{(59,1),(62,1),(64,1),(90,1),(96,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(72,1),(101,1),(106,1),(107,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(78,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(75,1),(104,1),(105,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(78,1),(110,1),(138,1)}
        95:{2,5,7}:{(76,1),(77,1),(79,1),(110,1),(111,1)}
        96:{1,4,7}:{(77,1),(80,1),(83,1),(105,1),(111,1),(138,1)}
        97:{1,5,6}:{(78,1),(79,1),(81,1),(110,1),(112,1)}
        98:{2,4,6}:{(79,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(97,1),(120,1)}
       111:{2,4,7}:{(95,1),(96,1),(98,1),(120,1),(121,1),(134,1)}
       112:{1,4,6}:{(97,1),(98,1),(99,1),(120,1),(122,1)}
       113:{3,6}:{(98,1),(100,1),(121,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{3,7}:{(111,1),(113,1)}
       122:{1,3,6}:{(112,1),(113,1),(114,1),(128,1),(129,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(122,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 167 :   0:{2,3,6,7}:{(1,1),(2,1),(3,1),(46,1),(67,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(55,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(7,1),(8,1),(10,1),(31,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(54,1),(56,1)}
         4:{2,6,7}:{(1,1),(12,1),(67,1)}
         5:{1,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(15,1),(40,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(13,1),(14,1),(15,1),(35,1),(39,1),(66,1),(68,1)}
         7:{3,4,6,7}:{(2,1),(16,1),(20,1),(45,1),(46,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(46,1),(47,1),(65,1),(67,1),(69,1),(103,1)}
        10:{2,4,7}:{(3,1),(15,1),(19,1),(20,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(24,1),(49,1),(50,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(79,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(6,1),(9,1),(23,1),(25,1),(27,1),(48,1),(53,1),(55,1),(57,1),(78,1),(80,1),(81,1)}
        15:{1,4,7}:{(6,1),(10,1),(24,1),(27,1),(49,1)}
        16:{3,5,7}:{(7,1),(8,1),(29,1),(30,1)}
        17:{2,5,6}:{(8,1),(25,1),(29,1),(31,1),(100,1)}
        18:{2,4,5,7}:{(8,1),(10,1),(26,1),(30,1),(31,1),(32,1),(33,1),(56,1),(92,1),(100,1),(104,1)}
        19:{2,4,6}:{(9,1),(10,1),(27,1),(33,1),(34,1),(104,1)}
        20:{3,4,7}:{(10,1),(32,1),(34,1),(104,1)}
        21:{3,6,7}:{(11,1),(35,1),(39,1),(62,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(36,1)}
        23:{2,5,6}:{(12,1),(14,1),(38,1),(67,1),(69,1),(89,1)}
        24:{2,4,7}:{(12,1),(15,1),(38,1),(39,1)}
        25:{1,5,6}:{(13,1),(17,1),(36,1),(40,1),(96,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(37,1),(40,1),(41,1),(42,1),(68,1),(84,1),(96,1)}
        27:{1,4,6}:{(14,1),(15,1),(19,1),(38,1),(42,1),(60,1)}
        28:{1,3,4,7}:{(15,1),(20,1),(39,1),(41,1),(43,1),(44,1),(61,1),(66,1),(84,1),(98,1)}
        29:{3,5,6}:{(16,1),(17,1),(45,1),(46,1),(103,1)}
        30:{4,5,7}:{(16,1),(45,1)}
        31:{2,4,6}:{(17,1),(18,1),(40,1),(45,1),(46,1),(67,1)}
        32:{3,5,7}:{(18,1),(20,1),(46,1),(47,1),(98,1),(103,1)}
        33:{2,4,5}:{(19,1),(42,1),(47,1),(69,1),(99,1)}
        34:{3,4,6}:{(19,1),(20,1),(46,1),(47,1)}
        35:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(50,1),(90,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(50,1),(51,1),(52,1),(56,1),(71,1),(73,1),(90,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(52,1),(53,1)}
        39:{3,7}:{(24,1),(53,1)}
        40:{1,4,6}:{(25,1),(26,1),(31,1),(50,1),(55,1),(80,1)}
        41:{1,3,5,7}:{(26,1),(28,1),(32,1),(51,1),(55,1),(56,1),(57,1)}
        42:{1,4,5}:{(27,1),(33,1),(52,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        43:{1,3,4,6}:{(27,1),(28,1),(34,1),(53,1),(55,1),(57,1),(58,1),(72,1),(76,1),(78,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        44:{2,4,7}:{(28,1),(54,1),(56,1),(58,1),(59,1),(79,1)}
        45:{4,6}:{(29,1),(30,1),(104,1)}
        46:{3,6}:{(31,1),(32,1)}
        47:{3,5}:{(33,1),(34,1),(102,1)}
        48:{3,5,6}:{(35,1),(36,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(35,1),(60,1)}
        50:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(62,1),(67,1)}
        51:{3,5,7}:{(37,1),(39,1),(61,1),(62,1),(64,1),(82,1)}
        52:{2,4,5}:{(38,1),(42,1),(64,1),(69,1),(87,1)}
        53:{3,6}:{(38,1),(39,1),(64,1)}
        54:{2,3,7}:{(39,1),(44,1),(65,1),(66,1),(98,1)}
        55:{1,3,6}:{(40,1),(41,1),(46,1),(62,1),(67,1)}
        56:{2,5,7}:{(41,1),(44,1),(67,1),(68,1),(69,1)}
        57:{1,3,5}:{(42,1),(43,1),(47,1),(64,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(43,1),(44,1),(65,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(44,1),(66,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(76,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(54,1),(56,1),(73,1),(74,1),(75,1),(77,1),(90,1)}
        64:{3,5}:{(52,1),(53,1),(76,1)}
        65:{2,3,6}:{(53,1),(54,1),(58,1),(77,1),(78,1),(101,1),(102,1)}
        66:{1,3,7}:{(54,1),(59,1),(78,1),(79,1)}
        67:{2,6}:{(55,1),(56,1),(80,1)}
        68:{1,5,7}:{(56,1),(59,1),(80,1),(81,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(78,1),(80,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(67,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(66,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{3,4}:{(64,1),(87,1)}
        77:{2,3,5}:{(64,1),(65,1),(69,1),(87,1),(88,1),(103,1)}
        78:{1,3,6}:{(65,1),(66,1),(70,1),(88,1),(89,1)}
        79:{2,7}:{(66,1),(89,1)}
        80:{1,6}:{(67,1),(68,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(80,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(79,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(76,1),(77,1),(94,1),(104,1)}
        88:{1,3,5}:{(77,1),(78,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(78,1),(79,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 168 :   0:{4,5,7}:{(3,1),(4,1),(23,1),(27,1),(50,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(50,1),(77,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(77,1),(101,1)}
         3:{3,5,7}:{(0,1),(1,1),(9,1),(10,1),(15,1)}
         4:{4,6}:{(0,1),(10,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(9,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(10,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(113,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{2,5,7}:{(3,1),(5,1),(19,1),(20,1),(26,1)}
        10:{3,6}:{(3,1),(4,1),(20,1)}
        11:{4,6,7}:{(4,1),(21,1),(23,1),(50,1),(145,1)}
        12:{5,6}:{(4,1),(23,1)}
        13:{1,4,7}:{(5,1),(7,1),(19,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(20,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{1,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1)}
        20:{2,6}:{(9,1),(10,1),(32,1)}
        21:{3,6,7}:{(10,1),(11,1),(33,1),(35,1),(143,1)}
        22:{3,5,6}:{(10,1),(12,1),(15,1),(34,1),(35,1),(36,1),(64,1),(138,1),(143,1),(146,1)}
        23:{5,7}:{(11,1),(12,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(31,1),(37,1),(38,1),(57,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(32,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,5,7}:{(19,1),(24,1),(44,1),(45,1),(52,1)}
        32:{1,6}:{(19,1),(20,1),(45,1)}
        33:{2,6,7}:{(20,1),(21,1),(46,1),(48,1),(140,1)}
        34:{2,5,6}:{(20,1),(22,1),(26,1),(47,1),(48,1),(49,1),(133,1),(140,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(48,1),(50,1),(77,1)}
        36:{4,6}:{(22,1),(27,1),(50,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(45,1),(51,1),(52,1),(55,1),(70,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(49,1),(53,1),(54,1),(80,1),(123,1),(133,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{3,5,7}:{(31,1),(37,1),(57,1),(58,1),(65,1),(84,1)}
        45:{2,6}:{(31,1),(32,1),(58,1)}
        46:{1,6,7}:{(32,1),(33,1),(59,1),(61,1),(136,1)}
        47:{1,5,6}:{(32,1),(34,1),(39,1),(60,1),(61,1),(62,1),(126,1),(136,1)}
        48:{2,5,7}:{(33,1),(34,1),(35,1),(61,1),(63,1)}
        49:{2,4,6}:{(34,1),(36,1),(40,1),(62,1),(63,1),(64,1),(90,1)}
        50:{4,7}:{(35,1),(36,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(84,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(62,1),(66,1),(67,1),(93,1),(114,1),(126,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{4,7}:{(44,1),(70,1),(78,1)}
        58:{3,6}:{(44,1),(45,1),(70,1)}
        59:{2,6,7}:{(45,1),(46,1),(71,1),(73,1),(131,1)}
        60:{2,5,6}:{(45,1),(47,1),(52,1),(72,1),(73,1),(74,1),(118,1),(131,1)}
        61:{1,5,7}:{(46,1),(47,1),(48,1),(73,1),(75,1)}
        62:{1,4,6}:{(47,1),(49,1),(53,1),(74,1),(75,1),(76,1),(102,1)}
        63:{2,4,7}:{(48,1),(49,1),(50,1),(75,1),(77,1),(101,1)}
        64:{3,6}:{(49,1),(54,1),(77,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(74,1),(78,1),(79,1),(80,1),(96,1),(103,1),(118,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(76,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(59,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(60,1),(65,1),(84,1),(85,1),(86,1),(88,1),(106,1),(108,1),(124,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(85,1),(87,1)}
        74:{2,4,6}:{(60,1),(62,1),(66,1),(86,1),(87,1),(88,1),(90,1)}
        75:{1,4,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(113,1)}
        76:{1,3,6}:{(62,1),(64,1),(67,1),(88,1),(89,1),(90,1)}
        77:{3,7}:{(63,1),(64,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(88,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(73,1),(95,1),(97,1),(99,1)}
        86:{4,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,4,7}:{(73,1),(74,1),(75,1),(97,1),(99,1),(101,1)}
        88:{3,6}:{(74,1),(79,1),(99,1)}
        89:{1,3,7}:{(75,1),(76,1),(77,1),(99,1),(101,1)}
        90:{2,6}:{(76,1),(80,1),(101,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(100,1),(103,1),(104,1),(118,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(88,1),(91,1),(108,1),(109,1),(110,1),(124,1)}
        99:{3,7}:{(87,1),(88,1)}
       100:{2,3,6}:{(88,1),(90,1),(92,1),(110,1),(111,1),(112,1)}
       101:{2,7}:{(89,1),(90,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(113,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(112,1),(114,1),(115,1),(126,1),(130,1),(138,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(99,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(100,1),(103,1),(118,1),(119,1),(120,1),(131,1)}
       111:{2,3,7}:{(99,1),(100,1),(101,1),(119,1),(121,1)}
       112:{1,3,6}:{(100,1),(102,1),(104,1),(120,1),(121,1),(122,1),(135,1)}
       113:{1,7}:{(101,1),(102,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(112,1),(114,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(111,1),(112,1),(113,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(112,1),(115,1),(129,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 169 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 170 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(19,1),(27,1),(31,1),(50,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(50,1),(83,1)}
         2:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(17,1),(43,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(35,1),(69,1)}
         5:{1,3,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(97,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(17,1),(42,1),(75,1),(76,1)}
         7:{2,3,7}:{(1,1),(11,1),(16,1),(69,1),(98,1)}
         8:{3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(50,1),(60,1),(136,1),(144,1),(146,1)}
         9:{1,4,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(30,1),(59,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(7,1),(23,1),(25,1)}
        12:{4,5}:{(3,1),(19,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(54,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(23,1),(29,1),(55,1),(110,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,5,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(43,1),(131,1),(142,1)}
        19:{4,6}:{(8,1),(12,1),(35,1),(140,1)}
        20:{3,5,7}:{(8,1),(34,1),(35,1),(36,1),(69,1),(70,1)}
        21:{2,4,6}:{(9,1),(14,1),(37,1),(38,1),(39,1),(45,1),(71,1),(74,1),(100,1)}
        22:{1,5}:{(9,1),(10,1),(38,1)}
        23:{1,4,7}:{(9,1),(11,1),(16,1),(39,1),(41,1)}
        24:{2,4,5}:{(10,1),(12,1),(17,1),(33,1),(40,1),(42,1),(75,1),(122,1),(131,1),(140,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(41,1),(43,1)}
        26:{4,5,7}:{(12,1),(13,1),(35,1),(44,1),(70,1)}
        27:{3,6}:{(13,1),(43,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(71,1)}
        31:{3,4}:{(17,1),(42,1),(140,1)}
        32:{1,5,6}:{(18,1),(22,1),(47,1),(48,1),(49,1),(59,1),(123,1),(138,1)}
        33:{2,4,6}:{(18,1),(19,1),(24,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,5,7}:{(18,1),(20,1),(49,1),(51,1),(52,1)}
        35:{4,7}:{(19,1),(20,1)}
        36:{3,6,7}:{(20,1),(27,1),(52,1),(53,1),(144,1)}
        37:{3,6}:{(21,1),(54,1),(55,1),(61,1)}
        38:{2,5}:{(21,1),(22,1),(54,1),(112,1)}
        39:{2,4,7}:{(21,1),(23,1),(29,1),(55,1),(57,1),(86,1)}
        40:{1,4,5}:{(22,1),(24,1),(30,1),(48,1),(56,1),(58,1),(89,1),(111,1),(123,1)}
        41:{1,5,7}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        42:{3,5}:{(24,1),(31,1),(50,1),(130,1)}
        43:{2,6}:{(25,1),(27,1),(59,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(58,1),(61,1),(62,1),(85,1),(90,1),(111,1),(130,1)}
        47:{2,5,6}:{(32,1),(38,1),(63,1),(64,1),(65,1),(74,1),(114,1),(133,1)}
        48:{1,4,6}:{(32,1),(33,1),(40,1),(64,1),(66,1),(67,1),(97,1)}
        49:{1,5,7}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{3,6}:{(33,1),(42,1),(69,1)}
        51:{2,4,7}:{(33,1),(34,1),(35,1),(67,1),(69,1),(98,1)}
        52:{2,6,7}:{(34,1),(36,1),(43,1),(68,1),(142,1)}
        53:{4,6,7}:{(35,1),(36,1),(44,1),(70,1),(145,1)}
        54:{3,5}:{(37,1),(38,1),(71,1)}
        55:{3,7}:{(37,1),(39,1)}
        56:{2,4,5}:{(38,1),(40,1),(45,1),(64,1),(71,1),(73,1),(75,1),(91,1),(99,1),(114,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1),(74,1)}
        58:{1,3,5}:{(40,1),(42,1),(46,1),(66,1),(73,1),(75,1)}
        59:{1,6}:{(41,1),(43,1),(74,1)}
        60:{5,6}:{(44,1),(70,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(75,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(54,1),(78,1),(79,1),(80,1),(87,1),(103,1),(112,1),(125,1),(126,1)}
        64:{2,4,6}:{(47,1),(48,1),(56,1),(78,1),(80,1),(81,1),(83,1)}
        65:{2,5,7}:{(47,1),(49,1),(79,1),(81,1),(82,1)}
        66:{1,3,6}:{(48,1),(50,1),(58,1),(80,1),(83,1),(84,1)}
        67:{1,4,7}:{(48,1),(49,1),(51,1),(81,1),(84,1),(110,1)}
        68:{1,6,7}:{(49,1),(52,1),(59,1),(82,1),(138,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{5,7}:{(53,1),(60,1),(146,1)}
        71:{4}:{(54,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(86,1),(87,1),(112,1)}
        73:{3,5}:{(56,1),(61,1),(80,1),(85,1)}
        74:{2,6}:{(57,1),(59,1),(87,1)}
        75:{2,5}:{(58,1),(62,1),(83,1),(89,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(130,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(71,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(65,1),(93,1),(94,1),(96,1),(119,1)}
        80:{3,6}:{(64,1),(73,1),(96,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(93,1),(96,1),(98,1)}
        82:{2,6,7}:{(65,1),(68,1),(74,1),(94,1),(133,1)}
        83:{2,6}:{(66,1),(75,1),(97,1),(98,1)}
        84:{1,3,7}:{(66,1),(67,1),(69,1),(96,1),(98,1)}
        85:{3,4}:{(71,1),(73,1),(99,1)}
        86:{4,7}:{(71,1),(72,1),(100,1)}
        87:{3,6}:{(72,1),(74,1),(100,1)}
        88:{2,3,5}:{(73,1),(75,1),(76,1),(95,1),(99,1),(101,1),(114,1)}
        89:{1,5}:{(75,1),(77,1),(97,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(112,1)}
        92:{3,4,6}:{(78,1),(80,1),(85,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(87,1),(107,1),(125,1)}
        95:{2,3,6}:{(80,1),(83,1),(88,1),(105,1),(108,1),(109,1)}
        96:{3,7}:{(80,1),(81,1)}
        97:{1,6}:{(83,1),(89,1),(110,1)}
        98:{2,7}:{(83,1),(84,1),(110,1)}
        99:{2,4}:{(85,1),(88,1),(111,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{1,3,5}:{(88,1),(89,1),(90,1),(108,1),(111,1),(113,1),(123,1),(130,1),(136,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(99,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(96,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(100,1),(116,1),(119,1)}
       108:{1,3,6}:{(95,1),(97,1),(101,1),(117,1),(120,1),(121,1),(134,1)}
       109:{2,3,7}:{(95,1),(96,1),(98,1),(118,1),(121,1)}
       110:{1,7}:{(97,1),(98,1)}
       111:{1,4}:{(99,1),(101,1),(122,1),(140,1)}
       112:{5}:{(100,1)}
       113:{2,5}:{(101,1),(102,1),(120,1),(122,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(111,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(109,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(112,1),(126,1)}
       120:{2,6}:{(108,1),(113,1),(129,1)}
       121:{1,3,7}:{(108,1),(109,1),(110,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(111,1),(113,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 171 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(33,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(52,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(53,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(39,1),(46,1),(77,1),(83,1),(101,1),(109,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(72,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(52,1),(56,1),(64,1),(84,1),(95,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(22,1),(30,1),(100,1),(115,1),(120,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(22,1),(24,1),(53,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(95,1),(115,1),(120,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(22,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(33,1),(42,1),(65,1),(71,1),(81,1),(83,1),(103,1),(104,1),(106,1),(109,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(33,1),(34,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(34,1),(36,1),(72,1)}
        22:{3,6}:{(11,1),(12,1)}
        23:{2,4,6,7}:{(12,1),(35,1),(37,1),(39,1),(73,1),(77,1),(109,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(33,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(34,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(49,1),(61,1),(86,1),(100,1),(120,1)}
        32:{2,4,6}:{(19,1),(21,1),(49,1),(51,1),(53,1),(90,1)}
        33:{2,5,7}:{(20,1),(27,1),(52,1),(53,1),(63,1),(123,1),(132,1)}
        34:{1,3,6}:{(20,1),(21,1),(22,1),(49,1),(53,1)}
        35:{1,4,6,7}:{(21,1),(23,1),(50,1),(54,1),(56,1),(91,1),(95,1),(118,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(56,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(120,1)}
        38:{3,5,6}:{(22,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        39:{2,5,7}:{(23,1),(24,1),(56,1),(57,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(120,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(52,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(53,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(106,1),(113,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(40,1),(65,1),(67,1),(68,1),(80,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(35,1),(69,1),(71,1),(73,1),(106,1),(109,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(70,1),(71,1),(103,1)}
        52:{1,5,7}:{(33,1),(43,1),(72,1),(82,1),(130,1),(137,1)}
        53:{2,6}:{(33,1),(34,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(37,1),(69,1),(73,1),(75,1),(126,1)}
        55:{1,3,5,6}:{(34,1),(36,1),(38,1),(45,1),(70,1),(74,1),(75,1),(76,1),(110,1)}
        56:{1,5,7}:{(35,1),(36,1),(39,1),(71,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(38,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(72,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(59,1),(84,1),(87,1),(88,1),(97,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(53,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(120,1)}
        70:{3,5,6}:{(49,1),(51,1),(61,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(56,1),(89,1)}
        72:{1,6}:{(52,1),(53,1)}
        73:{2,6,7}:{(53,1),(54,1),(91,1),(93,1),(132,1)}
        74:{2,5,6}:{(53,1),(55,1),(63,1),(92,1),(93,1),(94,1)}
        75:{1,3,5,7}:{(54,1),(55,1),(56,1),(57,1),(89,1),(93,1),(95,1),(120,1)}
        76:{1,4,6}:{(55,1),(58,1),(64,1),(90,1),(94,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(94,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(78,1),(101,1),(105,1),(111,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(81,1),(104,1),(106,1)}
        91:{1,6,7}:{(72,1),(73,1),(107,1),(137,1)}
        92:{1,5,6}:{(72,1),(74,1),(82,1),(107,1),(108,1)}
        93:{2,5,7}:{(73,1),(74,1),(75,1),(107,1),(109,1)}
        94:{2,4,6}:{(74,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        95:{1,4,7}:{(75,1),(76,1),(77,1),(106,1),(109,1),(137,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{1,5,7}:{(91,1),(92,1),(93,1),(118,1)}
       108:{1,4,6}:{(92,1),(94,1),(99,1),(118,1),(119,1)}
       109:{2,4,7}:{(93,1),(94,1),(95,1),(118,1),(120,1),(132,1)}
       110:{3,6}:{(94,1),(100,1),(120,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{1,3,6}:{(108,1),(110,1),(114,1),(126,1),(127,1)}
       120:{3,7}:{(109,1),(110,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(119,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 172 :   0:{2,6,7}:{(3,1),(6,1),(8,1),(108,1),(138,1)}
         1:{2,5,6}:{(4,1),(7,1),(8,1),(9,1),(75,1),(108,1),(126,1),(138,1)}
         2:{2,4,5}:{(5,1),(9,1),(10,1),(32,1),(34,1),(37,1),(75,1),(104,1),(126,1),(140,1)}
         3:{1,6,7}:{(0,1),(11,1),(14,1),(120,1),(132,1)}
         4:{1,5,6}:{(1,1),(12,1),(14,1),(15,1),(94,1),(115,1),(120,1),(132,1)}
         5:{1,4,5}:{(2,1),(13,1),(15,1),(16,1),(51,1),(57,1),(86,1),(94,1),(115,1)}
         6:{3,6,7}:{(0,1),(17,1),(18,1),(92,1),(142,1)}
         7:{3,5,6}:{(1,1),(18,1),(19,1),(22,1),(52,1),(54,1),(92,1),(134,1),(142,1),(146,1)}
         8:{2,5,7}:{(0,1),(1,1),(14,1),(18,1),(21,1)}
         9:{2,4,6}:{(1,1),(2,1),(15,1),(19,1),(21,1),(22,1),(50,1)}
        10:{3,5}:{(2,1),(20,1),(22,1),(118,1)}
        11:{2,6,7}:{(3,1),(24,1),(26,1),(124,1),(129,1)}
        12:{2,5,6}:{(4,1),(25,1),(26,1),(27,1),(101,1),(110,1),(124,1),(129,1)}
        13:{2,4,5}:{(5,1),(27,1),(28,1),(32,1),(62,1),(65,1),(78,1),(101,1),(110,1),(131,1)}
        14:{1,5,7}:{(3,1),(4,1),(8,1),(26,1),(30,1)}
        15:{1,4,6}:{(4,1),(5,1),(9,1),(27,1),(30,1),(31,1),(72,1)}
        16:{1,3,5}:{(5,1),(10,1),(28,1),(29,1),(31,1),(32,1)}
        17:{4,6,7}:{(6,1),(33,1),(35,1),(73,1),(145,1)}
        18:{3,5,7}:{(6,1),(7,1),(8,1),(33,1),(35,1),(38,1)}
        19:{4,6}:{(7,1),(34,1),(35,1),(140,1)}
        20:{3,4}:{(10,1),(37,1),(140,1)}
        21:{2,4,7}:{(8,1),(9,1),(30,1),(35,1),(38,1),(71,1)}
        22:{3,6}:{(9,1),(10,1),(38,1)}
        23:{2,3,5}:{(10,1),(32,1),(37,1),(39,1),(40,1),(69,1),(75,1)}
        24:{3,6,7}:{(11,1),(41,1),(42,1),(113,1),(136,1)}
        25:{3,5,6}:{(12,1),(42,1),(43,1),(46,1),(81,1),(83,1),(113,1),(122,1),(136,1),(144,1)}
        26:{2,5,7}:{(11,1),(12,1),(14,1),(42,1),(45,1)}
        27:{2,4,6}:{(12,1),(13,1),(15,1),(43,1),(45,1),(46,1),(50,1)}
        28:{3,5}:{(13,1),(44,1),(46,1),(97,1)}
        29:{1,3,4}:{(16,1),(20,1),(44,1),(48,1),(57,1),(86,1),(90,1),(97,1),(118,1)}
        30:{1,4,7}:{(14,1),(15,1),(21,1),(45,1),(49,1),(91,1)}
        31:{1,3,6}:{(15,1),(16,1),(22,1),(46,1),(49,1),(50,1)}
        32:{2,5}:{(16,1),(48,1),(50,1),(51,1)}
        33:{5,7}:{(17,1),(52,1),(146,1)}
        34:{4,5}:{(19,1),(54,1),(146,1)}
        35:{4,7}:{(18,1),(19,1)}
        36:{3,4,6}:{(19,1),(20,1),(22,1),(54,1),(55,1),(56,1),(92,1)}
        37:{2,4}:{(20,1),(23,1),(57,1)}
        38:{3,7}:{(21,1),(22,1)}
        39:{2,3,6}:{(22,1),(23,1),(50,1),(56,1),(58,1),(59,1)}
        40:{1,3,5}:{(23,1),(51,1),(57,1),(59,1),(60,1),(90,1),(94,1),(97,1),(122,1)}
        41:{4,6,7}:{(24,1),(61,1),(63,1),(99,1),(141,1)}
        42:{3,5,7}:{(24,1),(25,1),(26,1),(61,1),(63,1),(66,1)}
        43:{4,6}:{(25,1),(62,1),(63,1),(131,1)}
        44:{3,4}:{(28,1),(65,1),(131,1)}
        45:{2,4,7}:{(26,1),(27,1),(30,1),(63,1),(66,1),(71,1)}
        46:{3,6}:{(27,1),(28,1),(66,1)}
        47:{2,3,5}:{(28,1),(32,1),(65,1),(67,1),(68,1),(69,1),(101,1)}
        48:{2,4}:{(29,1),(32,1),(69,1),(70,1),(107,1)}
        49:{1,3,7}:{(30,1),(31,1),(38,1),(66,1),(71,1)}
        50:{2,6}:{(31,1),(32,1),(71,1),(72,1)}
        51:{1,5}:{(32,1),(70,1),(72,1)}
        52:{5,6}:{(33,1),(73,1)}
        53:{4,5,7}:{(33,1),(34,1),(35,1),(73,1),(74,1)}
        54:{3,5}:{(34,1),(36,1),(75,1)}
        55:{3,4,7}:{(35,1),(36,1),(38,1),(74,1),(76,1)}
        56:{2,4,6}:{(36,1),(37,1),(39,1),(75,1),(76,1),(77,1),(108,1)}
        57:{1,4}:{(37,1),(40,1),(78,1),(131,1)}
        58:{2,3,7}:{(38,1),(39,1),(71,1),(76,1),(79,1)}
        59:{1,3,6}:{(39,1),(40,1),(72,1),(77,1),(79,1),(80,1),(112,1)}
        60:{2,5}:{(40,1),(78,1),(80,1),(107,1)}
        61:{5,7}:{(41,1),(81,1),(144,1)}
        62:{4,5}:{(43,1),(83,1),(144,1)}
        63:{4,7}:{(42,1),(43,1)}
        64:{3,4,6}:{(43,1),(44,1),(46,1),(83,1),(84,1),(85,1),(113,1)}
        65:{2,4}:{(44,1),(47,1),(86,1)}
        66:{3,7}:{(45,1),(46,1)}
        67:{2,3,6}:{(46,1),(47,1),(50,1),(85,1),(87,1),(88,1)}
        68:{1,3,5}:{(47,1),(51,1),(86,1),(88,1),(89,1),(90,1),(115,1),(118,1),(134,1)}
        69:{2,3}:{(48,1),(90,1),(97,1),(118,1)}
        70:{1,4}:{(48,1),(51,1),(90,1)}
        71:{2,7}:{(49,1),(50,1),(91,1)}
        72:{1,6}:{(50,1),(51,1),(91,1)}
        73:{4,6}:{(52,1),(53,1),(92,1)}
        74:{3,5,7}:{(53,1),(54,1),(55,1),(92,1),(93,1)}
        75:{2,5}:{(54,1),(56,1),(94,1)}
        76:{2,4,7}:{(55,1),(56,1),(58,1),(93,1),(95,1)}
        77:{1,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1),(96,1),(120,1)}
        78:{2,4}:{(57,1),(60,1),(97,1)}
        79:{1,3,7}:{(58,1),(59,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,6}:{(59,1),(60,1),(98,1)}
        81:{5,6}:{(61,1),(99,1)}
        82:{4,5,7}:{(61,1),(62,1),(63,1),(99,1),(100,1)}
        83:{3,5}:{(62,1),(64,1),(101,1)}
        84:{3,4,7}:{(63,1),(64,1),(66,1),(100,1),(102,1)}
        85:{2,4,6}:{(64,1),(65,1),(67,1),(101,1),(102,1),(103,1),(124,1)}
        86:{1,4}:{(65,1),(68,1),(104,1),(140,1)}
        87:{2,3,7}:{(66,1),(67,1),(71,1),(102,1),(105,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(103,1),(105,1),(106,1),(128,1)}
        89:{2,5}:{(68,1),(104,1),(106,1),(107,1)}
        90:{1,3}:{(69,1),(70,1),(107,1)}
        91:{1,7}:{(71,1),(72,1)}
        92:{3,6}:{(73,1),(74,1),(108,1)}
        93:{2,5,7}:{(74,1),(75,1),(76,1),(108,1),(109,1)}
        94:{1,5}:{(75,1),(77,1),(110,1)}
        95:{1,4,7}:{(76,1),(77,1),(79,1),(109,1),(111,1)}
        96:{2,4,6}:{(77,1),(78,1),(80,1),(110,1),(111,1),(112,1),(129,1),(131,1),(141,1)}
        97:{3}:{(78,1)}
        98:{2,7}:{(79,1),(80,1)}
        99:{4,6}:{(81,1),(82,1),(113,1)}
       100:{3,5,7}:{(82,1),(83,1),(84,1),(113,1),(114,1)}
       101:{2,5}:{(83,1),(85,1),(115,1)}
       102:{2,4,7}:{(84,1),(85,1),(87,1),(114,1),(116,1)}
       103:{1,4,6}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1),(132,1)}
       104:{2,4}:{(86,1),(89,1),(118,1)}
       105:{1,3,7}:{(87,1),(88,1),(91,1),(116,1),(119,1),(135,1)}
       106:{2,6}:{(88,1),(89,1),(119,1)}
       107:{2}:{(90,1)}
       108:{2,6}:{(92,1),(93,1),(120,1)}
       109:{1,5,7}:{(93,1),(94,1),(95,1),(120,1),(121,1)}
       110:{2,5}:{(94,1),(96,1),(122,1),(144,1)}
       111:{2,4,7}:{(95,1),(96,1),(98,1),(121,1),(123,1),(137,1)}
       112:{3,6}:{(96,1),(97,1),(122,1),(123,1)}
       113:{3,6}:{(99,1),(100,1),(124,1)}
       114:{2,5,7}:{(100,1),(101,1),(102,1),(124,1),(125,1)}
       115:{1,5}:{(101,1),(103,1),(126,1)}
       116:{1,4,7}:{(102,1),(103,1),(105,1),(125,1),(127,1)}
       117:{2,4,6}:{(103,1),(104,1),(106,1),(126,1),(127,1),(128,1),(138,1),(140,1),(145,1)}
       118:{3}:{(104,1)}
       119:{2,7}:{(105,1),(106,1)}
       120:{1,6}:{(108,1),(109,1),(129,1)}
       121:{2,5,7}:{(109,1),(110,1),(111,1),(129,1),(130,1)}
       122:{3,5}:{(110,1),(112,1),(131,1)}
       123:{3,7}:{(111,1),(112,1)}
       124:{2,6}:{(113,1),(114,1),(132,1)}
       125:{1,5,7}:{(114,1),(115,1),(116,1),(132,1),(133,1)}
       126:{2,5}:{(115,1),(117,1),(134,1),(146,1)}
       127:{2,4,7}:{(116,1),(117,1),(119,1),(133,1),(135,1),(143,1)}
       128:{3,6}:{(117,1),(118,1),(134,1),(135,1)}
       129:{2,6}:{(120,1),(121,1),(136,1)}
       130:{3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1),(144,1)}
       131:{4}:{(122,1)}
       132:{1,6}:{(124,1),(125,1),(138,1)}
       133:{2,5,7}:{(125,1),(126,1),(127,1),(138,1),(139,1)}
       134:{3,5}:{(126,1),(128,1),(140,1)}
       135:{3,7}:{(127,1),(128,1)}
       136:{3,6}:{(129,1),(130,1),(141,1)}
       137:{4,7}:{(130,1),(131,1),(141,1)}
       138:{2,6}:{(132,1),(133,1),(142,1)}
       139:{3,5,7}:{(133,1),(134,1),(135,1),(142,1),(143,1),(146,1)}
       140:{4}:{(134,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{3,6}:{(138,1),(139,1),(145,1)}
       143:{4,7}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 173 :   0:{2,4,5,7}:{(1,1),(2,1),(3,1),(16,1),(19,1),(22,1),(63,1),(64,1),(65,1),(87,1),(97,1),(99,1),(117,1),(131,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(34,1),(35,1),(38,1),(67,1),(78,1),(81,1),(86,1),(106,1),(110,1),(112,1)}
         2:{3,5,7}:{(0,1),(7,1),(10,1),(40,1),(104,1),(111,1),(113,1),(125,1)}
         3:{2,4,6}:{(0,1),(6,1),(10,1),(11,1),(36,1),(44,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(16,1),(45,1),(48,1),(61,1),(89,1),(90,1),(91,1),(97,1),(99,1),(103,1),(124,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(16,1),(17,1),(55,1),(121,1),(122,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(17,1),(18,1),(58,1)}
         7:{3,4,7}:{(2,1),(19,1),(20,1),(65,1),(120,1),(131,1)}
         8:{2,4,6,7}:{(3,1),(15,1),(21,1),(22,1),(56,1),(65,1),(99,1)}
         9:{2,3,5,7}:{(2,1),(16,1),(19,1),(23,1),(24,1),(52,1),(63,1),(95,1)}
        10:{3,6}:{(2,1),(3,1)}
        11:{2,5,6}:{(3,1),(18,1),(22,1),(25,1),(63,1),(117,1)}
        12:{3,5,7}:{(4,1),(26,1),(29,1),(69,1),(84,1),(111,1),(113,1),(115,1)}
        13:{2,4,6}:{(4,1),(6,1),(29,1),(30,1),(36,1),(73,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(38,1),(67,1),(74,1),(81,1),(84,1),(104,1),(113,1),(127,1)}
        15:{1,4,6,7}:{(6,1),(8,1),(27,1),(33,1),(34,1),(79,1),(81,1),(112,1)}
        16:{2,5,7}:{(5,1),(31,1),(35,1),(36,1),(77,1),(128,1),(129,1)}
        17:{1,3,6}:{(5,1),(6,1),(10,1),(29,1),(36,1)}
        18:{1,5,6}:{(6,1),(11,1),(30,1),(34,1),(86,1),(106,1)}
        19:{2,4,7}:{(7,1),(9,1),(38,1),(39,1),(109,1)}
        20:{3,4,6}:{(7,1),(10,1),(39,1),(40,1),(44,1)}
        21:{3,6,7}:{(8,1),(10,1),(41,1),(113,1)}
        22:{2,5,7}:{(8,1),(11,1),(34,1),(41,1)}
        23:{1,3,5,7}:{(9,1),(35,1),(38,1),(42,1),(43,1),(74,1),(84,1),(86,1),(108,1),(115,1)}
        24:{2,3,6}:{(9,1),(10,1),(36,1),(39,1),(43,1)}
        25:{3,5,6}:{(10,1),(11,1),(40,1),(41,1),(44,1),(125,1)}
        26:{3,4,7}:{(12,1),(45,1),(46,1),(91,1),(120,1),(124,1)}
        27:{2,4,6,7}:{(13,1),(15,1),(47,1),(48,1),(56,1),(91,1),(99,1)}
        28:{2,3,5,7}:{(12,1),(16,1),(45,1),(49,1),(50,1),(52,1),(89,1),(95,1)}
        29:{3,6}:{(12,1),(13,1)}
        30:{2,5,6}:{(13,1),(18,1),(48,1),(51,1),(89,1),(103,1)}
        31:{2,4,7}:{(14,1),(16,1),(52,1),(53,1),(54,1),(93,1),(133,1)}
        32:{1,3,4,6}:{(14,1),(17,1),(20,1),(46,1),(54,1),(55,1),(60,1),(62,1),(88,1),(94,1),(101,1),(102,1),(116,1),(119,1),(120,1),(124,1),(131,1),(132,1)}
        33:{1,3,6,7}:{(15,1),(17,1),(21,1),(47,1),(56,1),(57,1),(122,1)}
        34:{1,5,7}:{(15,1),(18,1),(22,1),(48,1)}
        35:{1,5,7}:{(16,1),(53,1),(58,1),(96,1),(134,1),(135,1)}
        36:{2,6}:{(16,1),(17,1),(58,1)}
        37:{1,3,5,6}:{(17,1),(18,1),(25,1),(51,1),(55,1),(57,1),(59,1),(60,1),(101,1)}
        38:{1,4,7}:{(19,1),(23,1),(61,1),(62,1),(119,1),(124,1)}
        39:{2,4,6}:{(19,1),(20,1),(24,1),(62,1),(63,1)}
        40:{3,5}:{(20,1),(63,1),(64,1)}
        41:{3,5,7}:{(21,1),(22,1),(25,1),(65,1)}
        42:{2,5,7}:{(23,1),(61,1),(66,1),(93,1),(103,1),(118,1)}
        43:{1,3,6}:{(23,1),(24,1),(58,1),(62,1),(66,1),(102,1)}
        44:{4,6}:{(25,1),(64,1),(65,1),(131,1)}
        45:{2,4,7}:{(26,1),(28,1),(67,1),(68,1),(109,1)}
        46:{3,4,6}:{(26,1),(29,1),(68,1),(69,1),(73,1)}
        47:{3,6,7}:{(27,1),(29,1),(70,1),(113,1)}
        48:{2,5,7}:{(27,1),(30,1),(34,1),(70,1)}
        49:{1,3,5,7}:{(28,1),(35,1),(67,1),(71,1),(72,1),(74,1),(104,1),(106,1),(108,1),(125,1)}
        50:{2,3,6}:{(28,1),(29,1),(36,1),(68,1),(72,1)}
        51:{3,5,6}:{(29,1),(30,1),(69,1),(70,1),(73,1),(115,1)}
        52:{2,3,7}:{(31,1),(74,1),(75,1),(84,1),(104,1),(113,1),(129,1),(136,1)}
        53:{1,4,7}:{(31,1),(35,1),(74,1),(76,1),(137,1)}
        54:{2,4,6}:{(31,1),(32,1),(36,1),(75,1),(76,1),(77,1),(107,1),(109,1),(126,1)}
        55:{1,3,5}:{(32,1),(40,1),(69,1),(77,1),(78,1),(86,1),(106,1),(111,1),(115,1),(125,1)}
        56:{2,6,7}:{(33,1),(36,1),(79,1),(80,1),(129,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(37,1),(41,1),(70,1),(80,1),(81,1),(113,1)}
        58:{1,6}:{(35,1),(36,1)}
        59:{2,5,6}:{(36,1),(37,1),(77,1),(80,1),(82,1),(83,1)}
        60:{1,4,6}:{(37,1),(44,1),(73,1),(78,1),(81,1),(83,1),(130,1)}
        61:{2,4,7}:{(38,1),(42,1),(84,1),(85,1),(126,1)}
        62:{1,4,6}:{(38,1),(39,1),(43,1),(85,1),(86,1)}
        63:{2,5}:{(39,1),(40,1),(86,1)}
        64:{4,5}:{(40,1),(44,1)}
        65:{4,7}:{(41,1),(44,1)}
        66:{2,6}:{(42,1),(43,1)}
        67:{1,4,7}:{(45,1),(49,1),(87,1),(88,1),(119,1),(131,1)}
        68:{2,4,6}:{(45,1),(46,1),(50,1),(88,1),(89,1)}
        69:{3,5}:{(46,1),(89,1),(90,1)}
        70:{3,5,7}:{(47,1),(48,1),(51,1),(91,1)}
        71:{2,5,7}:{(49,1),(87,1),(92,1),(93,1),(117,1),(118,1)}
        72:{1,3,6}:{(49,1),(50,1),(58,1),(88,1),(92,1),(116,1)}
        73:{4,6}:{(51,1),(90,1),(91,1),(124,1)}
        74:{1,3,7}:{(52,1),(53,1),(93,1),(94,1),(135,1),(138,1)}
        75:{2,3,6}:{(52,1),(54,1),(94,1),(95,1),(101,1),(102,1),(116,1),(123,1),(132,1)}
        76:{1,4,6}:{(53,1),(54,1),(58,1),(94,1),(96,1),(119,1)}
        77:{2,5}:{(54,1),(55,1),(96,1)}
        78:{1,4,5}:{(55,1),(60,1),(64,1),(90,1),(97,1),(119,1),(124,1),(131,1),(134,1)}
        79:{1,6,7}:{(56,1),(58,1),(98,1),(135,1)}
        80:{2,5,7}:{(56,1),(57,1),(59,1),(98,1),(99,1)}
        81:{1,4,7}:{(57,1),(60,1),(65,1),(91,1),(99,1),(135,1)}
        82:{1,5,6}:{(58,1),(59,1),(96,1),(98,1),(100,1)}
        83:{2,4,6}:{(59,1),(60,1),(97,1),(99,1),(100,1),(101,1),(123,1)}
        84:{3,7}:{(61,1),(102,1),(132,1)}
        85:{2,4,6}:{(61,1),(62,1),(66,1),(102,1),(103,1),(124,1)}
        86:{1,5}:{(62,1),(63,1),(103,1)}
        87:{2,4,7}:{(67,1),(71,1),(104,1),(105,1),(126,1)}
        88:{1,4,6}:{(67,1),(68,1),(72,1),(105,1),(106,1)}
        89:{2,5}:{(68,1),(69,1),(106,1)}
        90:{4,5}:{(69,1),(73,1)}
        91:{4,7}:{(70,1),(73,1)}
        92:{2,6}:{(71,1),(72,1)}
        93:{2,7}:{(74,1),(107,1),(139,1)}
        94:{1,3,6}:{(74,1),(75,1),(76,1),(107,1),(108,1),(130,1)}
        95:{2,3,5}:{(75,1),(77,1),(108,1),(109,1),(111,1),(115,1),(125,1),(128,1),(136,1)}
        96:{1,5}:{(76,1),(77,1)}
        97:{2,4,5}:{(77,1),(78,1),(83,1),(109,1),(110,1),(111,1),(126,1),(128,1)}
        98:{1,5,7}:{(79,1),(80,1),(82,1),(112,1)}
        99:{2,4,7}:{(80,1),(81,1),(83,1),(112,1),(113,1),(129,1)}
       100:{1,4,6}:{(82,1),(83,1),(110,1),(112,1),(114,1)}
       101:{3,6}:{(83,1),(111,1),(113,1)}
       102:{3,6}:{(84,1),(85,1),(115,1)}
       103:{2,5}:{(85,1),(86,1),(115,1)}
       104:{3,7}:{(87,1),(116,1),(132,1)}
       105:{2,4,6}:{(87,1),(88,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,5}:{(88,1),(89,1),(117,1)}
       107:{2,6}:{(93,1),(94,1),(118,1)}
       108:{1,3,5}:{(94,1),(95,1),(96,1),(118,1),(119,1),(132,1),(134,1),(138,1)}
       109:{2,4}:{(95,1),(119,1),(120,1),(124,1),(131,1)}
       110:{1,4,5}:{(96,1),(97,1),(100,1),(119,1),(121,1)}
       111:{3,5}:{(97,1),(101,1),(120,1),(132,1)}
       112:{1,4,7}:{(98,1),(99,1),(100,1),(122,1)}
       113:{3,7}:{(99,1),(101,1)}
       114:{1,3,6}:{(100,1),(101,1),(121,1),(122,1),(123,1)}
       115:{3,5}:{(102,1),(103,1),(124,1)}
       116:{3,6}:{(104,1),(105,1),(125,1)}
       117:{2,5}:{(105,1),(106,1),(125,1)}
       118:{2,5}:{(107,1),(108,1),(126,1),(139,1)}
       119:{1,4}:{(108,1),(109,1),(126,1)}
       120:{3,4}:{(109,1),(111,1)}
       121:{1,3,5}:{(110,1),(111,1),(114,1),(127,1),(128,1)}
       122:{1,3,7}:{(112,1),(113,1),(114,1),(129,1)}
       123:{2,6}:{(114,1),(128,1),(129,1),(130,1)}
       124:{4}:{(115,1)}
       125:{3,5}:{(116,1),(117,1),(131,1)}
       126:{2,4}:{(118,1),(119,1),(132,1)}
       127:{1,3,4}:{(119,1),(120,1),(121,1),(132,1),(133,1),(138,1)}
       128:{2,5}:{(121,1),(123,1),(133,1),(134,1)}
       129:{2,7}:{(122,1),(123,1),(135,1)}
       130:{1,6}:{(123,1),(134,1),(135,1)}
       131:{4}:{(125,1)}
       132:{3}:{(126,1)}
       133:{2,4}:{(127,1),(128,1),(136,1),(137,1),(139,1)}
       134:{1,5}:{(128,1),(130,1),(137,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(132,1),(133,1),(138,1)}
       137:{1,4}:{(133,1),(134,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 174 :   0:{2,4,6,7}:{(1,1),(2,1),(3,1),(12,1),(17,1),(18,1),(39,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(23,1),(26,1),(27,1),(54,1)}
         2:{3,6,7}:{(0,1),(7,1),(31,1),(56,1)}
         3:{2,5,7}:{(0,1),(6,1),(7,1),(8,1)}
         4:{2,4,6,7}:{(1,1),(10,1),(11,1),(12,1),(34,1),(35,1),(39,1)}
         5:{1,3,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(73,1)}
         6:{1,5,7}:{(1,1),(3,1),(11,1),(14,1)}
         7:{3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{2,5,6}:{(3,1),(14,1),(16,1),(18,1),(81,1),(125,1)}
         9:{2,4,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1),(39,1),(43,1),(44,1),(46,1),(74,1),(81,1),(103,1),(125,1),(136,1)}
        10:{3,6,7}:{(4,1),(20,1),(51,1),(56,1)}
        11:{2,5,7}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,6,7}:{(5,1),(23,1),(24,1),(60,1),(92,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(7,1),(20,1),(24,1),(25,1),(26,1),(56,1)}
        14:{1,5,6}:{(6,1),(8,1),(21,1),(27,1),(98,1),(115,1)}
        15:{1,4,5,7}:{(6,1),(9,1),(22,1),(26,1),(27,1),(28,1),(54,1),(57,1),(61,1),(64,1),(87,1),(90,1),(98,1),(115,1)}
        16:{3,5,6}:{(7,1),(8,1),(29,1),(31,1),(62,1),(132,1)}
        17:{4,7}:{(7,1),(29,1)}
        18:{2,4,6}:{(8,1),(9,1),(27,1),(29,1),(31,1),(60,1)}
        19:{3,5,7}:{(9,1),(30,1),(31,1),(56,1),(62,1),(93,1),(117,1),(132,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1)}
        21:{2,5,6}:{(11,1),(14,1),(33,1),(35,1),(101,1),(113,1)}
        22:{2,4,5,7}:{(11,1),(15,1),(34,1),(35,1),(36,1),(39,1),(43,1),(67,1),(69,1),(74,1),(83,1),(101,1),(113,1),(131,1)}
        23:{1,6,7}:{(12,1),(37,1),(80,1),(107,1)}
        24:{2,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(14,1),(16,1),(33,1),(38,1),(40,1),(42,1),(75,1),(77,1)}
        26:{1,4,7}:{(13,1),(17,1),(34,1),(39,1),(40,1),(107,1)}
        27:{1,4,6}:{(14,1),(15,1),(18,1),(35,1),(42,1),(80,1)}
        28:{1,3,5,7}:{(15,1),(19,1),(36,1),(41,1),(42,1),(43,1),(73,1),(77,1),(105,1)}
        29:{4,6}:{(16,1),(17,1),(44,1),(136,1)}
        30:{3,4,7}:{(17,1),(19,1),(45,1),(46,1),(108,1),(136,1)}
        31:{3,6}:{(18,1),(19,1)}
        32:{2,3,5,7}:{(19,1),(43,1),(46,1),(47,1),(48,1),(76,1),(81,1),(109,1)}
        33:{3,5,6}:{(20,1),(21,1),(49,1),(51,1),(85,1),(124,1)}
        34:{4,7}:{(20,1),(49,1)}
        35:{2,4,6}:{(21,1),(22,1),(27,1),(49,1),(51,1),(60,1)}
        36:{3,5,7}:{(22,1),(50,1),(51,1),(56,1),(85,1),(93,1),(100,1),(124,1)}
        37:{1,5,7}:{(23,1),(24,1),(53,1),(54,1)}
        38:{2,5,6}:{(24,1),(25,1),(53,1),(55,1),(60,1),(96,1)}
        39:{2,4,7}:{(24,1),(26,1),(54,1),(55,1),(56,1),(92,1)}
        40:{1,4,6}:{(25,1),(26,1),(29,1),(49,1),(55,1),(57,1),(120,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(30,1),(50,1),(56,1),(58,1),(59,1),(64,1),(87,1),(95,1),(100,1),(117,1),(118,1)}
        42:{1,3,6}:{(27,1),(28,1),(31,1),(51,1),(60,1)}
        43:{2,5,7}:{(28,1),(59,1),(60,1),(61,1),(92,1),(96,1),(119,1)}
        44:{4,5}:{(29,1),(62,1)}
        45:{3,4,6}:{(29,1),(30,1),(31,1),(62,1),(63,1)}
        46:{2,4,7}:{(30,1),(32,1),(63,1),(64,1),(121,1)}
        47:{2,3,6}:{(31,1),(32,1),(60,1),(63,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(61,1),(64,1),(65,1),(66,1),(95,1),(98,1),(100,1),(122,1),(124,1)}
        49:{4,6}:{(33,1),(34,1),(67,1),(131,1)}
        50:{3,4,7}:{(34,1),(36,1),(68,1),(69,1),(108,1),(131,1)}
        51:{3,6}:{(35,1),(36,1)}
        52:{2,3,5,7}:{(36,1),(43,1),(69,1),(70,1),(71,1),(76,1),(101,1),(109,1)}
        53:{1,5,6}:{(37,1),(38,1),(72,1),(80,1),(112,1)}
        54:{1,4,7}:{(37,1),(39,1),(72,1),(73,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(72,1),(74,1),(75,1),(106,1)}
        56:{3,7}:{(39,1),(75,1)}
        57:{1,4,5}:{(40,1),(44,1),(67,1),(74,1),(77,1),(128,1),(129,1),(131,1),(136,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(68,1),(75,1),(77,1),(78,1),(82,1),(102,1),(108,1),(110,1),(114,1),(126,1),(129,1),(131,1),(136,1),(138,1)}
        59:{2,4,7}:{(41,1),(43,1),(76,1),(78,1),(79,1),(111,1),(127,1)}
        60:{2,6}:{(42,1),(43,1),(80,1)}
        61:{1,5,7}:{(43,1),(79,1),(80,1),(107,1),(112,1),(128,1)}
        62:{3,5}:{(44,1),(45,1),(81,1)}
        63:{2,4,6}:{(45,1),(46,1),(47,1),(81,1),(82,1)}
        64:{1,4,7}:{(46,1),(48,1),(82,1),(83,1),(129,1),(131,1)}
        65:{1,3,6}:{(47,1),(48,1),(80,1),(82,1),(84,1),(114,1)}
        66:{2,5,7}:{(48,1),(83,1),(84,1),(111,1),(113,1),(130,1)}
        67:{4,5}:{(49,1),(85,1)}
        68:{3,4,6}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        69:{2,4,7}:{(50,1),(52,1),(86,1),(87,1),(121,1)}
        70:{2,3,6}:{(51,1),(52,1),(60,1),(86,1),(88,1)}
        71:{1,3,5,7}:{(52,1),(61,1),(87,1),(88,1),(89,1),(95,1),(115,1),(117,1),(122,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(55,1),(90,1),(91,1)}
        73:{1,3,7}:{(54,1),(56,1),(91,1),(92,1)}
        74:{2,4,5}:{(55,1),(57,1),(90,1),(93,1),(96,1),(119,1),(121,1),(135,1)}
        75:{3,6}:{(55,1),(56,1),(93,1)}
        76:{2,3,7}:{(56,1),(59,1),(92,1),(94,1),(95,1),(100,1),(117,1),(133,1)}
        77:{1,3,5}:{(57,1),(58,1),(62,1),(85,1),(93,1),(96,1),(98,1),(115,1),(124,1),(132,1)}
        78:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(96,1),(97,1),(121,1),(123,1),(135,1)}
        79:{1,4,7}:{(59,1),(61,1),(95,1),(97,1),(134,1)}
        80:{1,6}:{(60,1),(61,1)}
        81:{2,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(63,1),(64,1),(65,1),(98,1),(99,1)}
        83:{2,4,7}:{(64,1),(66,1),(99,1),(100,1),(135,1)}
        84:{2,6}:{(65,1),(66,1)}
        85:{3,5}:{(67,1),(68,1),(101,1)}
        86:{2,4,6}:{(68,1),(69,1),(70,1),(101,1),(102,1)}
        87:{1,4,7}:{(69,1),(71,1),(102,1),(103,1),(129,1),(136,1)}
        88:{1,3,6}:{(70,1),(71,1),(80,1),(102,1),(104,1),(126,1)}
        89:{2,5,7}:{(71,1),(103,1),(104,1),(111,1),(125,1),(130,1)}
        90:{1,4,5}:{(72,1),(74,1),(105,1),(112,1),(129,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(106,1)}
        92:{2,7}:{(73,1),(106,1),(107,1)}
        93:{3,5}:{(74,1),(75,1),(108,1),(138,1)}
        94:{2,3,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(110,1),(114,1),(126,1),(138,1)}
        95:{1,3,7}:{(76,1),(79,1),(107,1),(110,1),(111,1),(137,1)}
        96:{2,5}:{(77,1),(78,1),(112,1)}
        97:{1,4,6}:{(78,1),(79,1),(80,1),(110,1),(112,1),(129,1)}
        98:{1,5}:{(81,1),(82,1),(113,1)}
        99:{2,4,6}:{(82,1),(83,1),(84,1),(113,1),(114,1),(131,1)}
       100:{3,7}:{(83,1),(114,1),(138,1)}
       101:{2,5}:{(85,1),(86,1),(115,1)}
       102:{1,4,6}:{(86,1),(87,1),(88,1),(115,1),(116,1)}
       103:{2,4,7}:{(87,1),(89,1),(116,1),(117,1),(135,1)}
       104:{2,6}:{(88,1),(89,1)}
       105:{1,3,5}:{(90,1),(91,1),(93,1),(118,1),(119,1)}
       106:{2,6}:{(91,1),(92,1),(119,1),(120,1)}
       107:{1,7}:{(92,1),(120,1)}
       108:{3,4}:{(93,1),(121,1)}
       109:{2,3,5}:{(93,1),(94,1),(96,1),(119,1),(121,1),(122,1),(124,1),(132,1),(133,1)}
       110:{1,3,6}:{(94,1),(95,1),(97,1),(120,1),(122,1),(123,1)}
       111:{2,7}:{(95,1),(123,1),(139,1)}
       112:{1,5}:{(96,1),(97,1)}
       113:{2,5}:{(98,1),(99,1),(124,1)}
       114:{3,6}:{(99,1),(100,1),(124,1)}
       115:{1,5}:{(101,1),(102,1),(125,1)}
       116:{2,4,6}:{(102,1),(103,1),(104,1),(125,1),(126,1),(136,1)}
       117:{3,7}:{(103,1),(126,1),(138,1)}
       118:{1,3,4}:{(105,1),(108,1),(127,1),(129,1),(137,1),(138,1)}
       119:{2,5}:{(105,1),(106,1),(127,1),(128,1)}
       120:{1,6}:{(106,1),(107,1),(128,1)}
       121:{2,4}:{(108,1),(109,1),(129,1),(131,1),(136,1)}
       122:{1,3,5}:{(109,1),(110,1),(112,1),(128,1),(129,1),(130,1),(137,1),(138,1)}
       123:{2,6}:{(110,1),(111,1),(130,1)}
       124:{3,5}:{(113,1),(114,1),(131,1)}
       125:{2,5}:{(115,1),(116,1),(132,1)}
       126:{3,6}:{(116,1),(117,1),(132,1)}
       127:{2,4}:{(118,1),(119,1),(133,1),(134,1),(139,1)}
       128:{1,5}:{(119,1),(120,1),(134,1)}
       129:{1,4}:{(121,1),(122,1),(135,1)}
       130:{2,5}:{(122,1),(123,1),(135,1),(139,1)}
       131:{4}:{(124,1)}
       132:{3,5}:{(125,1),(126,1),(136,1)}
       133:{2,3}:{(127,1),(137,1),(138,1)}
       134:{1,4}:{(127,1),(128,1),(137,1)}
       135:{2,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(132,1)}
       137:{1,3}:{(133,1),(134,1),(139,1)}
       138:{3}:{(135,1)}
       139:{2}:{(137,1)}

 175 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 176 :   0:{2,3,5}:{(2,1),(3,1),(4,1),(6,1),(26,1),(30,1),(58,1)}
         1:{2,4,5}:{(3,1),(5,1),(6,1),(7,1),(26,1),(30,1),(64,1),(103,1),(128,1),(140,1)}
         2:{1,3,5}:{(0,1),(8,1),(9,1),(10,1),(37,1),(41,1),(51,1),(79,1),(80,1)}
         3:{2,4}:{(0,1),(9,1),(11,1)}
         4:{2,3,6}:{(0,1),(10,1),(12,1),(13,1),(17,1),(52,1)}
         5:{1,4,5}:{(1,1),(9,1),(14,1),(15,1),(16,1),(41,1),(51,1),(86,1),(119,1)}
         6:{3,5}:{(1,1),(11,1),(17,1),(117,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(52,1),(55,1)}
         8:{2,5}:{(2,1),(20,1),(21,1),(98,1)}
         9:{1,4}:{(2,1),(3,1),(20,1),(99,1)}
        10:{1,3,6}:{(2,1),(4,1),(21,1),(23,1),(24,1),(59,1),(74,1)}
        11:{3,4}:{(3,1),(6,1),(140,1)}
        12:{2,4,6}:{(3,1),(4,1),(23,1),(25,1),(26,1),(27,1),(66,1)}
        13:{2,3,7}:{(4,1),(24,1),(27,1),(35,1),(75,1)}
        14:{2,4,5}:{(5,1),(20,1),(28,1),(29,1),(30,1),(60,1),(67,1),(99,1),(105,1),(107,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(31,1)}
        16:{1,4,6}:{(5,1),(7,1),(29,1),(31,1),(32,1),(33,1),(74,1)}
        17:{3,6}:{(6,1),(7,1),(35,1)}
        18:{2,5,6}:{(7,1),(26,1),(32,1),(34,1),(36,1),(66,1),(128,1),(142,1)}
        19:{2,4,7}:{(7,1),(33,1),(35,1),(36,1),(75,1),(77,1)}
        20:{2,4}:{(8,1),(9,1),(37,1)}
        21:{2,6}:{(8,1),(10,1),(39,1)}
        22:{1,3,4}:{(9,1),(11,1),(15,1),(37,1),(40,1),(46,1),(79,1),(86,1),(117,1)}
        23:{1,4,6}:{(9,1),(10,1),(12,1),(38,1),(41,1),(42,1),(83,1)}
        24:{1,3,7}:{(10,1),(13,1),(39,1),(42,1),(81,1),(96,1)}
        25:{3,4,6}:{(11,1),(12,1),(17,1),(43,1),(44,1),(55,1),(85,1)}
        26:{2,5}:{(12,1),(41,1),(43,1)}
        27:{2,4,7}:{(12,1),(13,1),(42,1),(44,1),(45,1)}
        28:{3,5}:{(14,1),(37,1),(46,1),(48,1)}
        29:{2,4,6}:{(14,1),(16,1),(48,1),(49,1),(50,1),(52,1),(93,1)}
        30:{2,5}:{(15,1),(40,1),(51,1),(52,1)}
        31:{1,3,6}:{(15,1),(16,1),(17,1),(48,1),(52,1),(53,1)}
        32:{1,5,6}:{(16,1),(18,1),(41,1),(49,1),(54,1),(83,1),(119,1),(138,1)}
        33:{1,4,7}:{(16,1),(19,1),(50,1),(53,1),(54,1),(96,1)}
        34:{3,5,6}:{(17,1),(18,1),(43,1),(55,1),(56,1),(85,1),(116,1),(135,1),(144,1),(146,1)}
        35:{3,7}:{(17,1),(19,1)}
        36:{2,5,7}:{(18,1),(19,1),(54,1),(56,1),(57,1)}
        37:{3}:{(20,1)}
        38:{2,4,6}:{(20,1),(21,1),(23,1),(59,1),(60,1),(61,1),(99,1),(101,1),(126,1)}
        39:{2,7}:{(21,1),(24,1)}
        40:{2,4}:{(22,1),(30,1),(58,1),(62,1),(98,1)}
        41:{1,5}:{(23,1),(26,1),(60,1)}
        42:{1,4,7}:{(23,1),(24,1),(27,1),(61,1),(63,1)}
        43:{3,5}:{(25,1),(26,1),(64,1)}
        44:{3,4,7}:{(25,1),(27,1),(35,1),(65,1),(77,1)}
        45:{2,5,7}:{(26,1),(27,1),(63,1),(65,1),(66,1)}
        46:{3,4}:{(28,1),(67,1),(99,1)}
        47:{2,3,5}:{(28,1),(30,1),(58,1),(67,1),(69,1),(70,1),(105,1)}
        48:{3,6}:{(28,1),(29,1),(72,1)}
        49:{2,5,6}:{(29,1),(32,1),(60,1),(71,1),(73,1),(101,1),(105,1),(131,1)}
        50:{2,4,7}:{(29,1),(33,1),(72,1),(73,1),(75,1),(111,1)}
        51:{1,5}:{(30,1),(62,1),(74,1)}
        52:{2,6}:{(30,1),(31,1),(74,1),(75,1)}
        53:{1,3,7}:{(31,1),(33,1),(35,1),(72,1),(75,1)}
        54:{1,5,7}:{(32,1),(33,1),(36,1),(73,1),(76,1)}
        55:{4,6}:{(34,1),(64,1),(77,1),(140,1)}
        56:{3,5,7}:{(34,1),(35,1),(36,1),(77,1),(78,1),(113,1)}
        57:{2,6,7}:{(36,1),(66,1),(76,1),(78,1),(142,1)}
        58:{2,3}:{(37,1),(40,1),(79,1),(117,1)}
        59:{3,6}:{(37,1),(38,1),(80,1),(81,1)}
        60:{2,5}:{(38,1),(41,1),(80,1),(134,1)}
        61:{2,4,7}:{(38,1),(39,1),(42,1),(81,1),(82,1),(114,1)}
        62:{1,4}:{(40,1),(51,1),(79,1)}
        63:{1,5,7}:{(41,1),(42,1),(45,1),(82,1),(83,1)}
        64:{4,5}:{(43,1),(55,1),(146,1)}
        65:{3,5,7}:{(43,1),(44,1),(45,1),(84,1),(85,1)}
        66:{2,6}:{(45,1),(83,1),(85,1)}
        67:{2,4}:{(46,1),(47,1),(86,1)}
        68:{3,4,6}:{(46,1),(48,1),(87,1),(88,1),(89,1),(93,1),(123,1)}
        69:{1,3,5}:{(47,1),(51,1),(79,1),(86,1),(90,1),(91,1),(117,1),(119,1),(135,1)}
        70:{2,3,6}:{(47,1),(48,1),(52,1),(87,1),(91,1),(92,1)}
        71:{3,5,6}:{(48,1),(49,1),(80,1),(88,1),(93,1),(94,1),(115,1),(123,1),(134,1),(139,1)}
        72:{3,7}:{(48,1),(50,1)}
        73:{2,5,7}:{(49,1),(50,1),(54,1),(94,1),(95,1)}
        74:{1,6}:{(51,1),(52,1),(96,1)}
        75:{2,7}:{(52,1),(53,1),(96,1)}
        76:{1,6,7}:{(54,1),(57,1),(83,1),(95,1),(138,1)}
        77:{4,7}:{(55,1),(56,1)}
        78:{3,6,7}:{(56,1),(57,1),(85,1),(97,1),(144,1)}
        79:{1,3}:{(58,1),(62,1),(98,1)}
        80:{3,5}:{(59,1),(60,1),(99,1)}
        81:{3,7}:{(59,1),(61,1)}
        82:{2,5,7}:{(60,1),(61,1),(63,1),(100,1),(101,1)}
        83:{1,6}:{(63,1),(66,1),(101,1)}
        84:{4,5,7}:{(64,1),(65,1),(77,1),(102,1),(113,1)}
        85:{3,6}:{(65,1),(66,1),(102,1)}
        86:{1,4}:{(67,1),(69,1),(103,1),(140,1)}
        87:{2,4,6}:{(67,1),(68,1),(70,1),(104,1),(105,1),(106,1),(131,1)}
        88:{3,5}:{(68,1),(105,1),(107,1)}
        89:{3,4,7}:{(68,1),(72,1),(106,1),(108,1),(111,1)}
        90:{2,5}:{(69,1),(98,1),(103,1),(109,1)}
        91:{1,3,6}:{(69,1),(70,1),(74,1),(104,1),(109,1),(110,1),(127,1)}
        92:{2,3,7}:{(70,1),(72,1),(75,1),(106,1),(110,1)}
        93:{4,6}:{(71,1),(99,1),(107,1),(111,1)}
        94:{3,5,7}:{(71,1),(72,1),(73,1),(111,1),(112,1),(133,1)}
        95:{2,6,7}:{(73,1),(76,1),(101,1),(112,1),(131,1)}
        96:{1,7}:{(74,1),(75,1)}
        97:{4,6,7}:{(77,1),(78,1),(102,1),(113,1),(145,1)}
        98:{2}:{(79,1)}
        99:{4}:{(80,1)}
       100:{3,5,7}:{(80,1),(81,1),(82,1),(114,1),(115,1),(134,1)}
       101:{2,6}:{(82,1),(83,1),(115,1)}
       102:{4,6}:{(84,1),(85,1),(116,1)}
       103:{2,4}:{(86,1),(90,1),(117,1)}
       104:{1,4,6}:{(86,1),(87,1),(91,1),(118,1),(119,1),(120,1),(138,1)}
       105:{2,5}:{(87,1),(88,1),(119,1)}
       106:{2,4,7}:{(87,1),(89,1),(92,1),(120,1),(121,1)}
       107:{4,5}:{(88,1),(93,1),(134,1)}
       108:{3,5,7}:{(88,1),(89,1),(121,1),(122,1),(123,1)}
       109:{2,6}:{(90,1),(91,1),(124,1)}
       110:{1,3,7}:{(91,1),(92,1),(96,1),(120,1),(124,1),(136,1)}
       111:{4,7}:{(93,1),(94,1)}
       112:{3,6,7}:{(94,1),(95,1),(115,1),(123,1),(125,1)}
       113:{5,7}:{(97,1),(116,1),(146,1)}
       114:{4,7}:{(99,1),(100,1),(126,1)}
       115:{3,6}:{(100,1),(101,1),(126,1)}
       116:{5,6}:{(102,1),(113,1)}
       117:{3}:{(103,1)}
       118:{2,4,6}:{(103,1),(104,1),(109,1),(127,1),(128,1),(129,1),(140,1),(142,1),(145,1)}
       119:{1,5}:{(104,1),(105,1),(128,1)}
       120:{1,4,7}:{(104,1),(106,1),(110,1),(129,1),(130,1)}
       121:{2,5,7}:{(105,1),(106,1),(108,1),(130,1),(131,1)}
       122:{4,5,7}:{(107,1),(108,1),(111,1),(132,1),(133,1)}
       123:{3,6}:{(108,1),(131,1),(132,1)}
       124:{2,7}:{(109,1),(110,1)}
       125:{4,6,7}:{(111,1),(112,1),(126,1),(132,1),(133,1)}
       126:{4,6}:{(114,1),(115,1),(134,1)}
       127:{3,6}:{(117,1),(118,1),(135,1),(136,1)}
       128:{2,5}:{(118,1),(119,1),(135,1),(146,1)}
       129:{2,4,7}:{(118,1),(120,1),(124,1),(136,1),(137,1),(143,1)}
       130:{1,5,7}:{(119,1),(120,1),(121,1),(137,1),(138,1)}
       131:{2,6}:{(121,1),(123,1),(138,1)}
       132:{4,6}:{(122,1),(123,1),(139,1)}
       133:{5,7}:{(125,1),(134,1),(139,1)}
       134:{5}:{(126,1)}
       135:{3,5}:{(127,1),(128,1),(140,1)}
       136:{3,7}:{(127,1),(129,1)}
       137:{2,5,7}:{(128,1),(129,1),(130,1),(141,1),(142,1)}
       138:{1,6}:{(130,1),(131,1),(142,1)}
       139:{5,6}:{(132,1),(133,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 177 :   0:{2,4,5,7}:{(1,1),(2,1),(3,1),(15,1),(19,1),(25,1),(63,1),(64,1),(66,1),(87,1),(97,1),(100,1),(117,1),(131,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(33,1),(37,1),(38,1),(67,1),(78,1),(83,1),(86,1),(106,1),(110,1),(112,1)}
         2:{3,5,7}:{(0,1),(7,1),(9,1),(40,1),(104,1),(111,1),(114,1),(125,1)}
         3:{2,4,6}:{(0,1),(6,1),(9,1),(11,1),(34,1),(44,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(15,1),(45,1),(51,1),(61,1),(89,1),(90,1),(92,1),(97,1),(100,1),(103,1),(124,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(55,1),(121,1),(122,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(16,1),(18,1),(56,1)}
         7:{3,4,7}:{(2,1),(19,1),(20,1),(66,1),(120,1),(131,1)}
         8:{2,3,5,7}:{(2,1),(15,1),(19,1),(21,1),(22,1),(52,1),(63,1),(95,1)}
         9:{3,6}:{(2,1),(3,1)}
        10:{2,4,6,7}:{(3,1),(17,1),(23,1),(25,1),(57,1),(66,1),(100,1)}
        11:{2,5,6}:{(3,1),(18,1),(24,1),(25,1),(63,1),(117,1)}
        12:{3,5,7}:{(4,1),(26,1),(28,1),(69,1),(84,1),(111,1),(114,1),(115,1)}
        13:{2,4,6}:{(4,1),(6,1),(28,1),(30,1),(34,1),(73,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(38,1),(67,1),(74,1),(83,1),(84,1),(104,1),(114,1),(127,1)}
        15:{2,5,7}:{(5,1),(31,1),(33,1),(34,1),(77,1),(128,1),(129,1)}
        16:{1,3,6}:{(5,1),(6,1),(9,1),(28,1),(34,1)}
        17:{1,4,6,7}:{(6,1),(10,1),(29,1),(35,1),(37,1),(79,1),(83,1),(112,1)}
        18:{1,5,6}:{(6,1),(11,1),(30,1),(37,1),(86,1),(106,1)}
        19:{2,4,7}:{(7,1),(8,1),(38,1),(39,1),(109,1)}
        20:{3,4,6}:{(7,1),(9,1),(39,1),(40,1),(44,1)}
        21:{1,3,5,7}:{(8,1),(33,1),(38,1),(41,1),(42,1),(74,1),(84,1),(86,1),(108,1),(115,1)}
        22:{2,3,6}:{(8,1),(9,1),(34,1),(39,1),(42,1)}
        23:{3,6,7}:{(9,1),(10,1),(43,1),(114,1)}
        24:{3,5,6}:{(9,1),(11,1),(40,1),(43,1),(44,1),(125,1)}
        25:{2,5,7}:{(10,1),(11,1),(37,1),(43,1)}
        26:{3,4,7}:{(12,1),(45,1),(46,1),(92,1),(120,1),(124,1)}
        27:{2,3,5,7}:{(12,1),(15,1),(45,1),(47,1),(48,1),(52,1),(89,1),(95,1)}
        28:{3,6}:{(12,1),(13,1)}
        29:{2,4,6,7}:{(13,1),(17,1),(49,1),(51,1),(57,1),(92,1),(100,1)}
        30:{2,5,6}:{(13,1),(18,1),(50,1),(51,1),(89,1),(103,1)}
        31:{2,4,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(93,1),(133,1)}
        32:{1,3,4,6}:{(14,1),(16,1),(20,1),(46,1),(54,1),(55,1),(60,1),(62,1),(88,1),(94,1),(101,1),(102,1),(116,1),(119,1),(120,1),(124,1),(131,1),(132,1)}
        33:{1,5,7}:{(15,1),(53,1),(56,1),(96,1),(134,1),(135,1)}
        34:{2,6}:{(15,1),(16,1),(56,1)}
        35:{1,3,6,7}:{(16,1),(17,1),(23,1),(49,1),(57,1),(59,1),(122,1)}
        36:{1,3,5,6}:{(16,1),(18,1),(24,1),(50,1),(55,1),(58,1),(59,1),(60,1),(101,1)}
        37:{1,5,7}:{(17,1),(18,1),(25,1),(51,1)}
        38:{1,4,7}:{(19,1),(21,1),(61,1),(62,1),(119,1),(124,1)}
        39:{2,4,6}:{(19,1),(20,1),(22,1),(62,1),(63,1)}
        40:{3,5}:{(20,1),(63,1),(64,1)}
        41:{2,5,7}:{(21,1),(61,1),(65,1),(93,1),(103,1),(118,1)}
        42:{1,3,6}:{(21,1),(22,1),(56,1),(62,1),(65,1),(102,1)}
        43:{3,5,7}:{(23,1),(24,1),(25,1),(66,1)}
        44:{4,6}:{(24,1),(64,1),(66,1),(131,1)}
        45:{2,4,7}:{(26,1),(27,1),(67,1),(68,1),(109,1)}
        46:{3,4,6}:{(26,1),(28,1),(68,1),(69,1),(73,1)}
        47:{1,3,5,7}:{(27,1),(33,1),(67,1),(70,1),(71,1),(74,1),(104,1),(106,1),(108,1),(125,1)}
        48:{2,3,6}:{(27,1),(28,1),(34,1),(68,1),(71,1)}
        49:{3,6,7}:{(28,1),(29,1),(72,1),(114,1)}
        50:{3,5,6}:{(28,1),(30,1),(69,1),(72,1),(73,1),(115,1)}
        51:{2,5,7}:{(29,1),(30,1),(37,1),(72,1)}
        52:{2,3,7}:{(31,1),(74,1),(75,1),(84,1),(104,1),(114,1),(129,1),(136,1)}
        53:{1,4,7}:{(31,1),(33,1),(74,1),(76,1),(137,1)}
        54:{2,4,6}:{(31,1),(32,1),(34,1),(75,1),(76,1),(77,1),(107,1),(109,1),(126,1)}
        55:{1,3,5}:{(32,1),(40,1),(69,1),(77,1),(78,1),(86,1),(106,1),(111,1),(115,1),(125,1)}
        56:{1,6}:{(33,1),(34,1)}
        57:{2,6,7}:{(34,1),(35,1),(79,1),(81,1),(129,1)}
        58:{2,5,6}:{(34,1),(36,1),(77,1),(80,1),(81,1),(82,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(37,1),(43,1),(72,1),(81,1),(83,1),(114,1)}
        60:{1,4,6}:{(36,1),(44,1),(73,1),(78,1),(82,1),(83,1),(130,1)}
        61:{2,4,7}:{(38,1),(41,1),(84,1),(85,1),(126,1)}
        62:{1,4,6}:{(38,1),(39,1),(42,1),(85,1),(86,1)}
        63:{2,5}:{(39,1),(40,1),(86,1)}
        64:{4,5}:{(40,1),(44,1)}
        65:{2,6}:{(41,1),(42,1)}
        66:{4,7}:{(43,1),(44,1)}
        67:{1,4,7}:{(45,1),(47,1),(87,1),(88,1),(119,1),(131,1)}
        68:{2,4,6}:{(45,1),(46,1),(48,1),(88,1),(89,1)}
        69:{3,5}:{(46,1),(89,1),(90,1)}
        70:{2,5,7}:{(47,1),(87,1),(91,1),(93,1),(117,1),(118,1)}
        71:{1,3,6}:{(47,1),(48,1),(56,1),(88,1),(91,1),(116,1)}
        72:{3,5,7}:{(49,1),(50,1),(51,1),(92,1)}
        73:{4,6}:{(50,1),(90,1),(92,1),(124,1)}
        74:{1,3,7}:{(52,1),(53,1),(93,1),(94,1),(135,1),(138,1)}
        75:{2,3,6}:{(52,1),(54,1),(94,1),(95,1),(101,1),(102,1),(116,1),(123,1),(132,1)}
        76:{1,4,6}:{(53,1),(54,1),(56,1),(94,1),(96,1),(119,1)}
        77:{2,5}:{(54,1),(55,1),(96,1)}
        78:{1,4,5}:{(55,1),(60,1),(64,1),(90,1),(97,1),(119,1),(124,1),(131,1),(134,1)}
        79:{1,6,7}:{(56,1),(57,1),(98,1),(135,1)}
        80:{1,5,6}:{(56,1),(58,1),(96,1),(98,1),(99,1)}
        81:{2,5,7}:{(57,1),(58,1),(59,1),(98,1),(100,1)}
        82:{2,4,6}:{(58,1),(60,1),(97,1),(99,1),(100,1),(101,1),(123,1)}
        83:{1,4,7}:{(59,1),(60,1),(66,1),(92,1),(100,1),(135,1)}
        84:{3,7}:{(61,1),(102,1),(132,1)}
        85:{2,4,6}:{(61,1),(62,1),(65,1),(102,1),(103,1),(124,1)}
        86:{1,5}:{(62,1),(63,1),(103,1)}
        87:{2,4,7}:{(67,1),(70,1),(104,1),(105,1),(126,1)}
        88:{1,4,6}:{(67,1),(68,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(68,1),(69,1),(106,1)}
        90:{4,5}:{(69,1),(73,1)}
        91:{2,6}:{(70,1),(71,1)}
        92:{4,7}:{(72,1),(73,1)}
        93:{2,7}:{(74,1),(107,1),(139,1)}
        94:{1,3,6}:{(74,1),(75,1),(76,1),(107,1),(108,1),(130,1)}
        95:{2,3,5}:{(75,1),(77,1),(108,1),(109,1),(111,1),(115,1),(125,1),(128,1),(136,1)}
        96:{1,5}:{(76,1),(77,1)}
        97:{2,4,5}:{(77,1),(78,1),(82,1),(109,1),(110,1),(111,1),(126,1),(128,1)}
        98:{1,5,7}:{(79,1),(80,1),(81,1),(112,1)}
        99:{1,4,6}:{(80,1),(82,1),(110,1),(112,1),(113,1)}
       100:{2,4,7}:{(81,1),(82,1),(83,1),(112,1),(114,1),(129,1)}
       101:{3,6}:{(82,1),(111,1),(114,1)}
       102:{3,6}:{(84,1),(85,1),(115,1)}
       103:{2,5}:{(85,1),(86,1),(115,1)}
       104:{3,7}:{(87,1),(116,1),(132,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(116,1),(117,1),(131,1)}
       106:{1,5}:{(88,1),(89,1),(117,1)}
       107:{2,6}:{(93,1),(94,1),(118,1)}
       108:{1,3,5}:{(94,1),(95,1),(96,1),(118,1),(119,1),(132,1),(134,1),(138,1)}
       109:{2,4}:{(95,1),(119,1),(120,1),(124,1),(131,1)}
       110:{1,4,5}:{(96,1),(97,1),(99,1),(119,1),(121,1)}
       111:{3,5}:{(97,1),(101,1),(120,1),(132,1)}
       112:{1,4,7}:{(98,1),(99,1),(100,1),(122,1)}
       113:{1,3,6}:{(99,1),(101,1),(121,1),(122,1),(123,1)}
       114:{3,7}:{(100,1),(101,1)}
       115:{3,5}:{(102,1),(103,1),(124,1)}
       116:{3,6}:{(104,1),(105,1),(125,1)}
       117:{2,5}:{(105,1),(106,1),(125,1)}
       118:{2,5}:{(107,1),(108,1),(126,1),(139,1)}
       119:{1,4}:{(108,1),(109,1),(126,1)}
       120:{3,4}:{(109,1),(111,1)}
       121:{1,3,5}:{(110,1),(111,1),(113,1),(127,1),(128,1)}
       122:{1,3,7}:{(112,1),(113,1),(114,1),(129,1)}
       123:{2,6}:{(113,1),(128,1),(129,1),(130,1)}
       124:{4}:{(115,1)}
       125:{3,5}:{(116,1),(117,1),(131,1)}
       126:{2,4}:{(118,1),(119,1),(132,1)}
       127:{1,3,4}:{(119,1),(120,1),(121,1),(132,1),(133,1),(138,1)}
       128:{2,5}:{(121,1),(123,1),(133,1),(134,1)}
       129:{2,7}:{(122,1),(123,1),(135,1)}
       130:{1,6}:{(123,1),(134,1),(135,1)}
       131:{4}:{(125,1)}
       132:{3}:{(126,1)}
       133:{2,4}:{(127,1),(128,1),(136,1),(137,1),(139,1)}
       134:{1,5}:{(128,1),(130,1),(137,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(132,1),(133,1),(138,1)}
       137:{1,4}:{(133,1),(134,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 178 :   0:{2,5,6}:{(2,1),(4,1),(5,1),(6,1),(69,1),(109,1),(124,1),(140,1)}
         1:{2,4,5}:{(3,1),(5,1),(7,1),(28,1),(29,1),(33,1),(69,1),(103,1),(124,1),(138,1)}
         2:{1,5,6}:{(0,1),(8,1),(10,1),(11,1),(89,1),(112,1),(122,1),(134,1)}
         3:{1,4,5}:{(1,1),(9,1),(10,1),(12,1),(47,1),(53,1),(83,1),(89,1),(112,1)}
         4:{3,5,6}:{(0,1),(13,1),(14,1),(16,1),(48,1),(91,1),(92,1),(132,1),(143,1),(146,1)}
         5:{2,4,6}:{(0,1),(1,1),(10,1),(13,1),(16,1),(17,1),(45,1)}
         6:{2,5,7}:{(0,1),(11,1),(14,1),(17,1),(18,1)}
         7:{3,5}:{(1,1),(15,1),(16,1),(118,1)}
         8:{2,5,6}:{(2,1),(20,1),(21,1),(22,1),(97,1),(107,1),(126,1),(131,1)}
         9:{2,4,5}:{(3,1),(21,1),(23,1),(28,1),(57,1),(61,1),(75,1),(97,1),(107,1),(129,1)}
        10:{1,4,6}:{(2,1),(3,1),(5,1),(21,1),(25,1),(26,1),(67,1)}
        11:{1,5,7}:{(2,1),(6,1),(22,1),(26,1),(27,1)}
        12:{1,3,5}:{(3,1),(7,1),(23,1),(24,1),(25,1),(28,1)}
        13:{4,6}:{(4,1),(29,1),(31,1),(138,1)}
        14:{3,5,7}:{(4,1),(6,1),(31,1),(32,1),(35,1),(74,1)}
        15:{3,4}:{(7,1),(33,1),(138,1)}
        16:{3,6}:{(5,1),(7,1),(35,1)}
        17:{2,4,7}:{(5,1),(6,1),(26,1),(31,1),(35,1),(68,1)}
        18:{2,6,7}:{(6,1),(27,1),(32,1),(109,1),(140,1)}
        19:{2,3,5}:{(7,1),(28,1),(33,1),(34,1),(36,1),(65,1),(69,1)}
        20:{3,5,6}:{(8,1),(37,1),(38,1),(40,1),(78,1),(114,1),(115,1),(120,1),(137,1),(144,1)}
        21:{2,4,6}:{(8,1),(9,1),(10,1),(37,1),(40,1),(41,1),(45,1)}
        22:{2,5,7}:{(8,1),(11,1),(38,1),(41,1),(42,1)}
        23:{3,5}:{(9,1),(39,1),(40,1),(95,1)}
        24:{1,3,4}:{(12,1),(15,1),(39,1),(44,1),(53,1),(83,1),(87,1),(95,1),(118,1)}
        25:{1,3,6}:{(10,1),(12,1),(16,1),(40,1),(45,1),(46,1)}
        26:{1,4,7}:{(10,1),(11,1),(17,1),(41,1),(46,1),(88,1)}
        27:{1,6,7}:{(11,1),(18,1),(42,1),(122,1),(134,1)}
        28:{2,5}:{(12,1),(44,1),(45,1),(47,1)}
        29:{4,5}:{(13,1),(48,1),(146,1)}
        30:{3,4,6}:{(13,1),(15,1),(16,1),(48,1),(50,1),(51,1),(91,1)}
        31:{4,7}:{(13,1),(14,1)}
        32:{3,6,7}:{(14,1),(18,1),(52,1),(91,1),(143,1)}
        33:{2,4}:{(15,1),(19,1),(53,1)}
        34:{2,3,6}:{(16,1),(19,1),(45,1),(50,1),(54,1),(55,1)}
        35:{3,7}:{(16,1),(17,1)}
        36:{1,3,5}:{(19,1),(47,1),(53,1),(54,1),(56,1),(87,1),(89,1),(95,1),(120,1)}
        37:{4,6}:{(20,1),(57,1),(59,1),(129,1)}
        38:{3,5,7}:{(20,1),(22,1),(59,1),(60,1),(63,1),(102,1)}
        39:{3,4}:{(23,1),(61,1),(129,1)}
        40:{3,6}:{(21,1),(23,1),(63,1)}
        41:{2,4,7}:{(21,1),(22,1),(26,1),(59,1),(63,1),(68,1)}
        42:{2,6,7}:{(22,1),(27,1),(60,1),(126,1),(131,1)}
        43:{2,3,5}:{(23,1),(28,1),(61,1),(62,1),(64,1),(65,1),(97,1)}
        44:{2,4}:{(24,1),(28,1),(65,1),(66,1),(106,1)}
        45:{2,6}:{(25,1),(28,1),(67,1),(68,1)}
        46:{1,3,7}:{(25,1),(26,1),(35,1),(63,1),(68,1)}
        47:{1,5}:{(28,1),(66,1),(67,1)}
        48:{3,5}:{(29,1),(30,1),(69,1)}
        49:{4,5,7}:{(29,1),(31,1),(70,1),(71,1),(74,1)}
        50:{2,4,6}:{(30,1),(33,1),(34,1),(69,1),(72,1),(73,1),(109,1)}
        51:{3,4,7}:{(30,1),(31,1),(35,1),(70,1),(73,1)}
        52:{4,6,7}:{(31,1),(32,1),(71,1),(74,1),(145,1)}
        53:{1,4}:{(33,1),(36,1),(75,1),(129,1)}
        54:{1,3,6}:{(34,1),(36,1),(67,1),(72,1),(76,1),(77,1),(110,1)}
        55:{2,3,7}:{(34,1),(35,1),(68,1),(73,1),(77,1)}
        56:{2,5}:{(36,1),(75,1),(76,1),(106,1)}
        57:{4,5}:{(37,1),(78,1),(144,1)}
        58:{3,4,6}:{(37,1),(39,1),(40,1),(78,1),(80,1),(81,1),(114,1)}
        59:{4,7}:{(37,1),(38,1)}
        60:{3,6,7}:{(38,1),(42,1),(82,1),(114,1),(137,1)}
        61:{2,4}:{(39,1),(43,1),(83,1)}
        62:{2,3,6}:{(40,1),(43,1),(45,1),(80,1),(84,1),(85,1)}
        63:{3,7}:{(40,1),(41,1)}
        64:{1,3,5}:{(43,1),(47,1),(83,1),(84,1),(86,1),(87,1),(112,1),(118,1),(132,1)}
        65:{2,3}:{(44,1),(87,1),(95,1),(118,1)}
        66:{1,4}:{(44,1),(47,1),(87,1)}
        67:{1,6}:{(45,1),(47,1),(88,1)}
        68:{2,7}:{(45,1),(46,1),(88,1)}
        69:{2,5}:{(48,1),(50,1),(89,1)}
        70:{3,5,7}:{(48,1),(49,1),(51,1),(90,1),(91,1)}
        71:{4,6}:{(49,1),(91,1),(92,1)}
        72:{1,4,6}:{(50,1),(53,1),(54,1),(89,1),(93,1),(94,1),(122,1)}
        73:{2,4,7}:{(50,1),(51,1),(55,1),(90,1),(94,1)}
        74:{5,7}:{(52,1),(92,1),(146,1)}
        75:{2,4}:{(53,1),(56,1),(95,1)}
        76:{2,6}:{(54,1),(56,1),(96,1)}
        77:{1,3,7}:{(54,1),(55,1),(88,1),(94,1),(96,1),(123,1)}
        78:{3,5}:{(57,1),(58,1),(97,1)}
        79:{4,5,7}:{(57,1),(59,1),(98,1),(99,1),(102,1)}
        80:{2,4,6}:{(58,1),(61,1),(62,1),(97,1),(100,1),(101,1),(126,1)}
        81:{3,4,7}:{(58,1),(59,1),(63,1),(98,1),(101,1)}
        82:{4,6,7}:{(59,1),(60,1),(99,1),(102,1),(141,1)}
        83:{1,4}:{(61,1),(64,1),(103,1),(138,1)}
        84:{1,3,6}:{(62,1),(64,1),(67,1),(100,1),(104,1),(105,1),(127,1)}
        85:{2,3,7}:{(62,1),(63,1),(68,1),(101,1),(105,1)}
        86:{2,5}:{(64,1),(103,1),(104,1),(106,1)}
        87:{1,3}:{(65,1),(66,1),(106,1)}
        88:{1,7}:{(67,1),(68,1)}
        89:{1,5}:{(69,1),(72,1),(107,1)}
        90:{2,5,7}:{(69,1),(70,1),(73,1),(108,1),(109,1)}
        91:{3,6}:{(70,1),(71,1),(109,1)}
        92:{5,6}:{(71,1),(74,1)}
        93:{2,4,6}:{(72,1),(75,1),(76,1),(107,1),(110,1),(111,1),(129,1),(131,1),(141,1)}
        94:{1,4,7}:{(72,1),(73,1),(77,1),(108,1),(111,1)}
        95:{3}:{(75,1)}
        96:{2,7}:{(76,1),(77,1)}
        97:{2,5}:{(78,1),(80,1),(112,1)}
        98:{3,5,7}:{(78,1),(79,1),(81,1),(113,1),(114,1)}
        99:{4,6}:{(79,1),(114,1),(115,1)}
       100:{1,4,6}:{(80,1),(83,1),(84,1),(112,1),(116,1),(117,1),(134,1)}
       101:{2,4,7}:{(80,1),(81,1),(85,1),(113,1),(117,1)}
       102:{5,7}:{(82,1),(115,1),(144,1)}
       103:{2,4}:{(83,1),(86,1),(118,1)}
       104:{2,6}:{(84,1),(86,1),(119,1)}
       105:{1,3,7}:{(84,1),(85,1),(88,1),(117,1),(119,1),(135,1)}
       106:{2}:{(87,1)}
       107:{2,5}:{(89,1),(93,1),(120,1),(144,1)}
       108:{1,5,7}:{(89,1),(90,1),(94,1),(121,1),(122,1)}
       109:{2,6}:{(90,1),(91,1),(122,1)}
       110:{3,6}:{(93,1),(95,1),(120,1),(123,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(121,1),(123,1),(136,1)}
       112:{1,5}:{(97,1),(100,1),(124,1)}
       113:{2,5,7}:{(97,1),(98,1),(101,1),(125,1),(126,1)}
       114:{3,6}:{(98,1),(99,1),(126,1)}
       115:{5,6}:{(99,1),(102,1)}
       116:{2,4,6}:{(100,1),(103,1),(104,1),(124,1),(127,1),(128,1),(138,1),(140,1),(145,1)}
       117:{1,4,7}:{(100,1),(101,1),(105,1),(125,1),(128,1)}
       118:{3}:{(103,1)}
       119:{2,7}:{(104,1),(105,1)}
       120:{3,5}:{(107,1),(110,1),(129,1)}
       121:{2,5,7}:{(107,1),(108,1),(111,1),(130,1),(131,1)}
       122:{1,6}:{(108,1),(109,1),(131,1)}
       123:{3,7}:{(110,1),(111,1)}
       124:{2,5}:{(112,1),(116,1),(132,1),(146,1)}
       125:{1,5,7}:{(112,1),(113,1),(117,1),(133,1),(134,1)}
       126:{2,6}:{(113,1),(114,1),(134,1)}
       127:{3,6}:{(116,1),(118,1),(132,1),(135,1)}
       128:{2,4,7}:{(116,1),(117,1),(119,1),(133,1),(135,1),(142,1)}
       129:{4}:{(120,1)}
       130:{3,5,7}:{(120,1),(121,1),(123,1),(136,1),(137,1),(144,1)}
       131:{2,6}:{(121,1),(122,1),(137,1)}
       132:{3,5}:{(124,1),(127,1),(138,1)}
       133:{2,5,7}:{(124,1),(125,1),(128,1),(139,1),(140,1)}
       134:{1,6}:{(125,1),(126,1),(140,1)}
       135:{3,7}:{(127,1),(128,1)}
       136:{4,7}:{(129,1),(130,1),(141,1)}
       137:{3,6}:{(130,1),(131,1),(141,1)}
       138:{4}:{(132,1)}
       139:{3,5,7}:{(132,1),(133,1),(135,1),(142,1),(143,1),(146,1)}
       140:{2,6}:{(133,1),(134,1),(143,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{4,7}:{(138,1),(139,1),(145,1)}
       143:{3,6}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 179 :   0:{2,4,6,7}:{(1,1),(2,1),(3,1),(12,1),(17,1),(18,1),(39,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(23,1),(26,1),(27,1),(54,1)}
         2:{3,6,7}:{(0,1),(7,1),(31,1),(56,1)}
         3:{2,5,7}:{(0,1),(6,1),(7,1),(8,1)}
         4:{2,4,6,7}:{(1,1),(10,1),(11,1),(12,1),(34,1),(35,1),(39,1)}
         5:{1,3,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(73,1)}
         6:{1,5,7}:{(1,1),(3,1),(11,1),(14,1)}
         7:{3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{2,5,6}:{(3,1),(14,1),(16,1),(18,1),(81,1),(125,1)}
         9:{2,4,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1),(39,1),(43,1),(44,1),(46,1),(74,1),(81,1),(103,1),(125,1),(136,1)}
        10:{3,6,7}:{(4,1),(20,1),(51,1),(56,1)}
        11:{2,5,7}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,6,7}:{(5,1),(23,1),(24,1),(60,1),(92,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(7,1),(20,1),(24,1),(25,1),(26,1),(56,1)}
        14:{1,5,6}:{(6,1),(8,1),(21,1),(27,1),(98,1),(115,1)}
        15:{1,4,5,7}:{(6,1),(9,1),(22,1),(26,1),(27,1),(28,1),(54,1),(57,1),(61,1),(64,1),(87,1),(90,1),(98,1),(115,1)}
        16:{3,5,6}:{(7,1),(8,1),(29,1),(31,1),(62,1),(132,1)}
        17:{4,7}:{(7,1),(29,1)}
        18:{2,4,6}:{(8,1),(9,1),(27,1),(29,1),(31,1),(60,1)}
        19:{3,5,7}:{(9,1),(30,1),(31,1),(56,1),(62,1),(93,1),(117,1),(132,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1)}
        21:{2,5,6}:{(11,1),(14,1),(33,1),(35,1),(101,1),(113,1)}
        22:{2,4,5,7}:{(11,1),(15,1),(34,1),(35,1),(36,1),(39,1),(43,1),(67,1),(69,1),(74,1),(83,1),(101,1),(113,1),(131,1)}
        23:{1,6,7}:{(12,1),(37,1),(80,1),(107,1)}
        24:{2,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(14,1),(16,1),(33,1),(38,1),(40,1),(42,1),(75,1),(77,1)}
        26:{1,4,7}:{(13,1),(17,1),(34,1),(39,1),(40,1),(107,1)}
        27:{1,4,6}:{(14,1),(15,1),(18,1),(35,1),(42,1),(80,1)}
        28:{1,3,5,7}:{(15,1),(19,1),(36,1),(41,1),(42,1),(43,1),(73,1),(77,1),(105,1)}
        29:{4,6}:{(16,1),(17,1),(44,1),(136,1)}
        30:{3,4,7}:{(17,1),(19,1),(45,1),(46,1),(108,1),(136,1)}
        31:{3,6}:{(18,1),(19,1)}
        32:{2,3,5,7}:{(19,1),(43,1),(46,1),(47,1),(48,1),(76,1),(81,1),(109,1)}
        33:{3,5,6}:{(20,1),(21,1),(49,1),(51,1),(85,1),(124,1)}
        34:{4,7}:{(20,1),(49,1)}
        35:{2,4,6}:{(21,1),(22,1),(27,1),(49,1),(51,1),(60,1)}
        36:{3,5,7}:{(22,1),(50,1),(51,1),(56,1),(85,1),(93,1),(100,1),(124,1)}
        37:{1,5,7}:{(23,1),(24,1),(53,1),(54,1)}
        38:{2,5,6}:{(24,1),(25,1),(53,1),(55,1),(60,1),(96,1)}
        39:{2,4,7}:{(24,1),(26,1),(54,1),(55,1),(56,1),(92,1)}
        40:{1,4,6}:{(25,1),(26,1),(29,1),(49,1),(55,1),(57,1),(120,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(30,1),(50,1),(56,1),(58,1),(59,1),(64,1),(87,1),(95,1),(100,1),(117,1),(118,1)}
        42:{1,3,6}:{(27,1),(28,1),(31,1),(51,1),(60,1)}
        43:{2,5,7}:{(28,1),(59,1),(60,1),(61,1),(92,1),(96,1),(119,1)}
        44:{4,5}:{(29,1),(62,1)}
        45:{3,4,6}:{(29,1),(30,1),(31,1),(62,1),(63,1)}
        46:{2,4,7}:{(30,1),(32,1),(63,1),(64,1),(121,1)}
        47:{2,3,6}:{(31,1),(32,1),(60,1),(63,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(61,1),(64,1),(65,1),(66,1),(95,1),(98,1),(100,1),(122,1),(124,1)}
        49:{4,6}:{(33,1),(34,1),(67,1),(131,1)}
        50:{3,4,7}:{(34,1),(36,1),(68,1),(69,1),(108,1),(131,1)}
        51:{3,6}:{(35,1),(36,1)}
        52:{2,3,5,7}:{(36,1),(43,1),(69,1),(70,1),(71,1),(76,1),(101,1),(109,1)}
        53:{1,5,6}:{(37,1),(38,1),(72,1),(80,1),(112,1)}
        54:{1,4,7}:{(37,1),(39,1),(72,1),(73,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(72,1),(74,1),(75,1),(106,1)}
        56:{3,7}:{(39,1),(75,1)}
        57:{1,4,5}:{(40,1),(44,1),(67,1),(74,1),(77,1),(128,1),(129,1),(131,1),(136,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(68,1),(75,1),(77,1),(78,1),(82,1),(102,1),(108,1),(110,1),(114,1),(126,1),(129,1),(131,1),(136,1),(138,1)}
        59:{2,4,7}:{(41,1),(43,1),(76,1),(78,1),(79,1),(111,1),(127,1)}
        60:{2,6}:{(42,1),(43,1),(80,1)}
        61:{1,5,7}:{(43,1),(79,1),(80,1),(107,1),(112,1),(128,1)}
        62:{3,5}:{(44,1),(45,1),(81,1)}
        63:{2,4,6}:{(45,1),(46,1),(47,1),(81,1),(82,1)}
        64:{1,4,7}:{(46,1),(48,1),(82,1),(83,1),(129,1),(131,1)}
        65:{1,3,6}:{(47,1),(48,1),(80,1),(82,1),(84,1),(114,1)}
        66:{2,5,7}:{(48,1),(83,1),(84,1),(111,1),(113,1),(130,1)}
        67:{4,5}:{(49,1),(85,1)}
        68:{3,4,6}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        69:{2,4,7}:{(50,1),(52,1),(86,1),(87,1),(121,1)}
        70:{2,3,6}:{(51,1),(52,1),(60,1),(86,1),(88,1)}
        71:{1,3,5,7}:{(52,1),(61,1),(87,1),(88,1),(89,1),(95,1),(115,1),(117,1),(122,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(55,1),(90,1),(91,1)}
        73:{1,3,7}:{(54,1),(56,1),(91,1),(92,1)}
        74:{2,4,5}:{(55,1),(57,1),(90,1),(93,1),(96,1),(119,1),(121,1),(135,1)}
        75:{3,6}:{(55,1),(56,1),(93,1)}
        76:{2,3,7}:{(56,1),(59,1),(92,1),(94,1),(95,1),(100,1),(117,1),(133,1)}
        77:{1,3,5}:{(57,1),(58,1),(62,1),(85,1),(93,1),(96,1),(98,1),(115,1),(124,1),(132,1)}
        78:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(96,1),(97,1),(121,1),(123,1),(135,1)}
        79:{1,4,7}:{(59,1),(61,1),(95,1),(97,1),(134,1)}
        80:{1,6}:{(60,1),(61,1)}
        81:{2,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(63,1),(64,1),(65,1),(98,1),(99,1)}
        83:{2,4,7}:{(64,1),(66,1),(99,1),(100,1),(135,1)}
        84:{2,6}:{(65,1),(66,1)}
        85:{3,5}:{(67,1),(68,1),(101,1)}
        86:{2,4,6}:{(68,1),(69,1),(70,1),(101,1),(102,1)}
        87:{1,4,7}:{(69,1),(71,1),(102,1),(103,1),(129,1),(136,1)}
        88:{1,3,6}:{(70,1),(71,1),(80,1),(102,1),(104,1),(126,1)}
        89:{2,5,7}:{(71,1),(103,1),(104,1),(111,1),(125,1),(130,1)}
        90:{1,4,5}:{(72,1),(74,1),(105,1),(112,1),(129,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(106,1)}
        92:{2,7}:{(73,1),(106,1),(107,1)}
        93:{3,5}:{(74,1),(75,1),(108,1),(138,1)}
        94:{2,3,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(110,1),(114,1),(126,1),(138,1)}
        95:{1,3,7}:{(76,1),(79,1),(107,1),(110,1),(111,1),(137,1)}
        96:{2,5}:{(77,1),(78,1),(112,1)}
        97:{1,4,6}:{(78,1),(79,1),(80,1),(110,1),(112,1),(129,1)}
        98:{1,5}:{(81,1),(82,1),(113,1)}
        99:{2,4,6}:{(82,1),(83,1),(84,1),(113,1),(114,1),(131,1)}
       100:{3,7}:{(83,1),(114,1),(138,1)}
       101:{2,5}:{(85,1),(86,1),(115,1)}
       102:{1,4,6}:{(86,1),(87,1),(88,1),(115,1),(116,1)}
       103:{2,4,7}:{(87,1),(89,1),(116,1),(117,1),(135,1)}
       104:{2,6}:{(88,1),(89,1)}
       105:{1,3,5}:{(90,1),(91,1),(93,1),(118,1),(119,1)}
       106:{2,6}:{(91,1),(92,1),(119,1),(120,1)}
       107:{1,7}:{(92,1),(120,1)}
       108:{3,4}:{(93,1),(121,1)}
       109:{2,3,5}:{(93,1),(94,1),(96,1),(119,1),(121,1),(122,1),(124,1),(132,1),(133,1)}
       110:{1,3,6}:{(94,1),(95,1),(97,1),(120,1),(122,1),(123,1)}
       111:{2,7}:{(95,1),(123,1),(139,1)}
       112:{1,5}:{(96,1),(97,1)}
       113:{2,5}:{(98,1),(99,1),(124,1)}
       114:{3,6}:{(99,1),(100,1),(124,1)}
       115:{1,5}:{(101,1),(102,1),(125,1)}
       116:{2,4,6}:{(102,1),(103,1),(104,1),(125,1),(126,1),(136,1)}
       117:{3,7}:{(103,1),(126,1),(138,1)}
       118:{1,3,4}:{(105,1),(108,1),(127,1),(129,1),(137,1),(138,1)}
       119:{2,5}:{(105,1),(106,1),(127,1),(128,1)}
       120:{1,6}:{(106,1),(107,1),(128,1)}
       121:{2,4}:{(108,1),(109,1),(129,1),(131,1),(136,1)}
       122:{1,3,5}:{(109,1),(110,1),(112,1),(128,1),(129,1),(130,1),(137,1),(138,1)}
       123:{2,6}:{(110,1),(111,1),(130,1)}
       124:{3,5}:{(113,1),(114,1),(131,1)}
       125:{2,5}:{(115,1),(116,1),(132,1)}
       126:{3,6}:{(116,1),(117,1),(132,1)}
       127:{2,4}:{(118,1),(119,1),(133,1),(134,1),(139,1)}
       128:{1,5}:{(119,1),(120,1),(134,1)}
       129:{1,4}:{(121,1),(122,1),(135,1)}
       130:{2,5}:{(122,1),(123,1),(135,1),(139,1)}
       131:{4}:{(124,1)}
       132:{3,5}:{(125,1),(126,1),(136,1)}
       133:{2,3}:{(127,1),(137,1),(138,1)}
       134:{1,4}:{(127,1),(128,1),(137,1)}
       135:{2,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(132,1)}
       137:{1,3}:{(133,1),(134,1),(139,1)}
       138:{3}:{(135,1)}
       139:{2}:{(137,1)}

 180 :   0:{3,4,5}:{(1,1),(2,1),(89,1),(124,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(72,1),(110,1)}
         2:{3,4,6}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1)}
         4:{1,4,5}:{(1,1),(9,1),(11,1),(12,1),(57,1),(94,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1)}
         6:{3,5,6}:{(2,1),(13,1),(15,1),(16,1),(124,1),(146,1)}
         7:{3,4,7}:{(2,1),(14,1),(16,1)}
         8:{2,3,4}:{(3,1),(17,1),(69,1),(72,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(18,1),(19,1),(21,1)}
        10:{2,3,6}:{(3,1),(5,1),(19,1),(20,1)}
        11:{2,4,5}:{(4,1),(18,1),(21,1),(22,1),(44,1),(78,1),(82,1)}
        12:{1,4,6}:{(4,1),(5,1),(19,1),(22,1),(23,1),(24,1)}
        13:{2,5,6}:{(5,1),(6,1),(23,1),(25,1),(110,1),(140,1)}
        14:{2,4,7}:{(5,1),(7,1),(20,1),(24,1),(25,1)}
        15:{4,5,6}:{(6,1),(26,1),(137,1),(150,1)}
        16:{3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1)}
        17:{1,3,4}:{(8,1),(9,1),(28,1),(33,1),(54,1),(57,1)}
        18:{2,5}:{(9,1),(28,1),(31,1)}
        19:{1,3,6}:{(9,1),(10,1),(12,1),(31,1),(32,1),(34,1)}
        20:{2,3,7}:{(10,1),(14,1),(32,1)}
        21:{3,5}:{(11,1),(33,1),(34,1)}
        22:{2,4,6}:{(11,1),(12,1),(31,1),(34,1),(35,1),(36,1),(66,1)}
        23:{1,5,6}:{(12,1),(13,1),(35,1),(37,1),(94,1),(130,1)}
        24:{1,4,7}:{(12,1),(14,1),(32,1),(36,1),(37,1)}
        25:{2,5,7}:{(13,1),(14,1),(16,1),(37,1),(38,1)}
        26:{4,5,7}:{(15,1),(16,1),(39,1)}
        27:{3,6,7}:{(16,1),(38,1),(39,1),(146,1)}
        28:{2,4}:{(17,1),(18,1),(41,1)}
        29:{1,2,5}:{(18,1),(40,1),(42,1),(43,1),(104,1)}
        30:{2,3,5}:{(18,1),(21,1),(41,1),(42,1),(44,1),(45,1),(78,1)}
        31:{2,6}:{(18,1),(19,1),(46,1)}
        32:{1,3,7}:{(19,1),(20,1),(24,1),(46,1),(50,1)}
        33:{3,4}:{(21,1),(44,1)}
        34:{3,6}:{(21,1),(22,1),(50,1)}
        35:{2,5,6}:{(22,1),(23,1),(49,1),(51,1),(78,1),(116,1)}
        36:{2,4,7}:{(22,1),(24,1),(46,1),(50,1),(51,1),(84,1)}
        37:{1,5,7}:{(23,1),(24,1),(25,1),(51,1),(52,1)}
        38:{2,6,7}:{(25,1),(27,1),(52,1),(140,1)}
        39:{4,6,7}:{(26,1),(27,1),(53,1),(150,1)}
        40:{1,2,4}:{(28,1),(29,1),(54,1),(57,1),(86,1)}
        41:{2,3}:{(28,1),(54,1)}
        42:{1,3,5}:{(29,1),(30,1),(54,1),(56,1),(57,1),(58,1),(94,1)}
        43:{1,2,6}:{(29,1),(31,1),(58,1),(59,1),(121,1)}
        44:{2,4}:{(30,1),(33,1),(57,1)}
        45:{2,3,6}:{(30,1),(31,1),(34,1),(58,1),(61,1),(62,1)}
        46:{2,7}:{(31,1),(32,1)}
        47:{3,4,5}:{(33,1),(60,1),(63,1),(64,1)}
        48:{3,4,6}:{(33,1),(34,1),(61,1),(64,1),(65,1),(66,1),(102,1)}
        49:{3,5,6}:{(34,1),(35,1),(64,1),(66,1),(67,1),(102,1),(133,1)}
        50:{3,7}:{(34,1),(36,1)}
        51:{2,5,7}:{(35,1),(36,1),(37,1),(67,1),(68,1)}
        52:{1,6,7}:{(37,1),(38,1),(68,1),(130,1)}
        53:{5,6,7}:{(39,1),(152,1)}
        54:{1,3}:{(40,1),(41,1),(69,1)}
        55:{2,3,4}:{(41,1),(44,1),(70,1),(71,1)}
        56:{2,3,5}:{(42,1),(69,1),(72,1),(73,1),(104,1),(107,1),(110,1)}
        57:{1,4}:{(42,1),(44,1),(72,1)}
        58:{1,3,6}:{(42,1),(43,1),(45,1),(73,1),(75,1),(76,1)}
        59:{1,2,7}:{(43,1),(46,1),(76,1),(134,1)}
        60:{2,4,5}:{(44,1),(47,1),(71,1),(74,1),(77,1),(78,1)}
        61:{2,4,6}:{(44,1),(45,1),(48,1),(75,1),(78,1),(79,1),(116,1)}
        62:{2,3,7}:{(45,1),(46,1),(50,1),(76,1),(79,1)}
        63:{3,4,6}:{(47,1),(77,1),(80,1),(81,1)}
        64:{3,5}:{(48,1),(78,1),(82,1)}
        65:{3,4,7}:{(48,1),(50,1),(79,1),(83,1),(84,1)}
        66:{4,6}:{(49,1),(82,1),(84,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(84,1),(85,1),(120,1)}
        68:{2,6,7}:{(51,1),(52,1),(85,1),(116,1)}
        69:{2,3}:{(54,1),(86,1)}
        70:{1,3,4}:{(54,1),(55,1),(57,1),(86,1),(87,1),(89,1)}
        71:{2,3,5}:{(55,1),(60,1),(87,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{2,3,6}:{(56,1),(58,1),(91,1),(92,1),(121,1),(123,1)}
        74:{1,4,5}:{(57,1),(60,1),(87,1),(90,1),(93,1),(94,1)}
        75:{1,4,6}:{(57,1),(58,1),(61,1),(91,1),(94,1),(95,1),(130,1)}
        76:{1,3,7}:{(58,1),(59,1),(62,1),(92,1),(95,1)}
        77:{2,4,6}:{(60,1),(63,1),(88,1),(93,1),(96,1),(97,1)}
        78:{2,5}:{(61,1),(64,1),(94,1)}
        79:{2,4,7}:{(61,1),(62,1),(65,1),(95,1),(98,1)}
        80:{3,5,6}:{(63,1),(64,1),(96,1),(99,1),(100,1),(102,1)}
        81:{3,4,7}:{(63,1),(97,1),(100,1)}
        82:{4,5}:{(64,1),(66,1)}
        83:{3,5,7}:{(64,1),(65,1),(98,1),(101,1),(102,1)}
        84:{4,7}:{(66,1),(67,1)}
        85:{3,6,7}:{(67,1),(68,1),(102,1),(103,1)}
        86:{2,4}:{(69,1),(70,1),(104,1)}
        87:{1,3,5}:{(70,1),(71,1),(74,1),(104,1),(105,1),(107,1)}
        88:{2,3,6}:{(71,1),(77,1),(105,1),(106,1)}
        89:{3,4}:{(72,1),(107,1)}
        90:{2,4,5}:{(72,1),(74,1),(104,1),(107,1),(109,1),(110,1),(137,1)}
        91:{2,4,6}:{(72,1),(73,1),(75,1),(108,1),(110,1),(111,1),(140,1)}
        92:{2,3,7}:{(73,1),(76,1),(111,1),(134,1),(136,1)}
        93:{1,4,6}:{(74,1),(77,1),(105,1),(109,1),(112,1),(113,1)}
        94:{1,5}:{(75,1),(78,1),(110,1)}
        95:{1,4,7}:{(75,1),(76,1),(79,1),(111,1),(114,1)}
        96:{2,5,6}:{(77,1),(78,1),(80,1),(112,1),(115,1),(116,1)}
        97:{2,4,7}:{(77,1),(81,1),(106,1),(113,1),(115,1)}
        98:{2,5,7}:{(78,1),(79,1),(83,1),(114,1),(116,1)}
        99:{4,5,6}:{(80,1),(82,1),(117,1),(119,1)}
       100:{3,5,7}:{(80,1),(81,1),(115,1),(117,1),(118,1)}
       101:{4,5,7}:{(82,1),(83,1),(84,1),(119,1),(120,1)}
       102:{3,6}:{(83,1),(116,1),(119,1)}
       103:{4,6,7}:{(84,1),(85,1),(119,1),(120,1)}
       104:{2,5}:{(86,1),(87,1),(121,1)}
       105:{1,3,6}:{(87,1),(88,1),(93,1),(121,1),(122,1),(123,1)}
       106:{2,3,7}:{(88,1),(97,1),(122,1)}
       107:{3,5}:{(89,1),(90,1),(123,1)}
       108:{3,4,6}:{(89,1),(91,1),(123,1),(124,1),(125,1),(143,1),(146,1)}
       109:{2,4,6}:{(90,1),(93,1),(121,1),(123,1),(126,1),(127,1),(143,1)}
       110:{2,5}:{(91,1),(94,1),(124,1)}
       111:{2,4,7}:{(91,1),(92,1),(95,1),(125,1),(128,1)}
       112:{1,5,6}:{(93,1),(94,1),(96,1),(126,1),(129,1),(130,1)}
       113:{1,4,7}:{(93,1),(97,1),(122,1),(127,1),(129,1)}
       114:{1,5,7}:{(94,1),(95,1),(98,1),(128,1),(130,1)}
       115:{2,5,7}:{(96,1),(97,1),(100,1),(129,1),(131,1)}
       116:{2,6}:{(98,1),(102,1),(130,1)}
       117:{4,5,7}:{(99,1),(100,1),(132,1)}
       118:{3,6,7}:{(100,1),(102,1),(131,1),(132,1)}
       119:{4,6}:{(101,1),(102,1),(133,1)}
       120:{5,7}:{(103,1),(133,1)}
       121:{2,6}:{(104,1),(105,1),(134,1)}
       122:{1,3,7}:{(105,1),(106,1),(113,1),(134,1),(136,1)}
       123:{3,6}:{(107,1),(109,1),(136,1)}
       124:{3,5}:{(108,1),(110,1),(137,1)}
       125:{3,4,7}:{(108,1),(111,1),(136,1),(138,1),(148,1)}
       126:{2,5,6}:{(109,1),(110,1),(112,1),(135,1),(139,1),(140,1)}
       127:{2,4,7}:{(109,1),(113,1),(134,1),(136,1),(139,1),(148,1)}
       128:{2,5,7}:{(110,1),(111,1),(114,1),(138,1),(140,1)}
       129:{1,5,7}:{(112,1),(113,1),(115,1),(139,1),(141,1)}
       130:{1,6}:{(114,1),(116,1),(140,1)}
       131:{2,6,7}:{(115,1),(116,1),(118,1),(141,1)}
       132:{4,6,7}:{(117,1),(118,1),(119,1),(142,1)}
       133:{5,6}:{(119,1),(120,1)}
       134:{2,7}:{(121,1),(122,1)}
       135:{3,5,6}:{(123,1),(124,1),(126,1),(143,1),(144,1),(146,1),(152,1)}
       136:{3,7}:{(123,1),(127,1)}
       137:{4,5}:{(124,1),(143,1)}
       138:{3,5,7}:{(124,1),(125,1),(128,1),(145,1),(146,1)}
       139:{2,5,7}:{(126,1),(127,1),(129,1),(144,1),(147,1)}
       140:{2,6}:{(128,1),(130,1),(146,1)}
       141:{1,6,7}:{(129,1),(130,1),(131,1),(147,1)}
       142:{5,6,7}:{(132,1),(133,1)}
       143:{4,6}:{(135,1),(137,1),(148,1)}
       144:{3,5,7}:{(135,1),(136,1),(139,1),(148,1),(149,1),(153,1)}
       145:{4,5,7}:{(137,1),(138,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(150,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(149,1)}
       148:{4,7}:{(143,1),(144,1)}
       149:{3,6,7}:{(144,1),(146,1),(147,1),(151,1)}
       150:{4,6}:{(145,1),(146,1),(152,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 181 :   0:{3,4,6,7}:{(1,1),(2,1),(14,1),(29,1),(35,1)}
         1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(18,1),(23,1)}
         2:{3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(35,1),(58,1)}
         4:{1,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(27,1),(33,1)}
         5:{2,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         6:{3,5,6}:{(2,1),(12,1),(14,1),(35,1),(102,1)}
         7:{4,5,7}:{(2,1),(14,1)}
         8:{1,3,6,7}:{(3,1),(4,1),(15,1),(16,1),(19,1),(46,1),(71,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(17,1),(18,1),(24,1),(47,1),(62,1)}
        10:{2,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(37,1),(43,1),(44,1)}
        11:{1,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        12:{2,5,6}:{(5,1),(6,1),(21,1),(23,1),(99,1)}
        13:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1),(23,1),(24,1),(40,1),(47,1),(89,1),(99,1),(104,1)}
        14:{4,6}:{(6,1),(7,1),(104,1)}
        15:{2,6,7}:{(8,1),(25,1),(58,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(30,1),(49,1),(59,1),(74,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(26,1),(28,1),(35,1),(53,1),(58,1),(73,1),(75,1),(102,1)}
        18:{2,4,7}:{(9,1),(27,1),(28,1),(29,1)}
        19:{3,6,7}:{(10,1),(30,1),(49,1),(56,1)}
        20:{2,5,7}:{(10,1),(11,1),(30,1),(31,1)}
        21:{1,5,6}:{(11,1),(12,1),(31,1),(33,1),(94,1)}
        22:{1,4,5,7}:{(11,1),(13,1),(27,1),(32,1),(33,1),(34,1),(50,1),(59,1),(79,1),(94,1)}
        23:{2,4,6}:{(12,1),(13,1),(14,1),(33,1),(35,1),(58,1)}
        24:{3,5,7}:{(13,1),(29,1),(35,1),(53,1),(96,1),(102,1)}
        25:{2,5,7}:{(15,1),(16,1),(36,1),(37,1),(85,1)}
        26:{1,3,5,6}:{(16,1),(17,1),(21,1),(36,1),(38,1),(42,1),(46,1),(61,1),(63,1),(71,1),(84,1),(86,1)}
        27:{1,4,7}:{(16,1),(18,1),(37,1),(38,1),(43,1)}
        28:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(41,1),(104,1)}
        29:{3,4,7}:{(18,1),(24,1),(41,1),(104,1)}
        30:{3,5,7}:{(19,1),(20,1),(42,1),(43,1)}
        31:{2,5,6}:{(20,1),(21,1),(42,1),(44,1),(87,1)}
        32:{2,4,5,7}:{(20,1),(22,1),(37,1),(43,1),(44,1),(45,1),(47,1),(60,1),(66,1),(68,1),(87,1)}
        33:{1,4,6}:{(21,1),(22,1),(23,1),(44,1),(46,1),(71,1)}
        34:{1,3,5,7}:{(22,1),(24,1),(39,1),(45,1),(46,1),(47,1),(63,1)}
        35:{3,6}:{(23,1),(24,1)}
        36:{2,5,6}:{(25,1),(26,1),(48,1),(58,1),(75,1),(93,1)}
        37:{2,4,7}:{(25,1),(27,1),(48,1),(49,1)}
        38:{1,4,6}:{(26,1),(27,1),(28,1),(48,1),(50,1),(54,1)}
        39:{1,3,4,7}:{(27,1),(29,1),(34,1),(49,1),(51,1),(52,1),(55,1),(74,1),(79,1),(96,1)}
        40:{2,4,5}:{(28,1),(50,1),(53,1),(75,1),(101,1)}
        41:{3,4,6}:{(28,1),(29,1),(35,1),(53,1)}
        42:{3,5,6}:{(30,1),(31,1),(54,1),(56,1),(77,1)}
        43:{4,7}:{(30,1),(54,1)}
        44:{2,4,6}:{(31,1),(32,1),(33,1),(54,1),(56,1),(58,1)}
        45:{3,5,7}:{(32,1),(49,1),(55,1),(56,1),(72,1),(77,1)}
        46:{1,3,6}:{(33,1),(34,1),(35,1),(56,1),(58,1)}
        47:{2,5,7}:{(34,1),(52,1),(58,1),(59,1),(75,1)}
        48:{2,4,6}:{(36,1),(37,1),(38,1),(60,1),(61,1)}
        49:{3,7}:{(37,1),(61,1)}
        50:{1,4,5}:{(38,1),(40,1),(60,1),(63,1),(66,1),(86,1),(97,1),(104,1)}
        51:{1,3,4,6}:{(38,1),(39,1),(41,1),(46,1),(61,1),(63,1),(64,1),(67,1),(82,1),(84,1),(88,1),(97,1),(100,1),(103,1),(104,1)}
        52:{2,4,7}:{(39,1),(47,1),(62,1),(64,1),(65,1),(85,1)}
        53:{3,5}:{(40,1),(41,1),(103,1)}
        54:{4,6}:{(42,1),(43,1),(66,1)}
        55:{3,4,7}:{(43,1),(45,1),(67,1),(68,1),(82,1)}
        56:{3,6}:{(44,1),(45,1)}
        57:{2,3,5,7}:{(45,1),(47,1),(62,1),(68,1),(69,1),(70,1),(83,1),(87,1)}
        58:{2,6}:{(46,1),(47,1),(71,1)}
        59:{1,5,7}:{(47,1),(65,1),(71,1),(86,1)}
        60:{2,4,5}:{(48,1),(50,1),(72,1),(75,1),(91,1)}
        61:{3,6}:{(48,1),(49,1),(72,1)}
        62:{2,3,7}:{(49,1),(52,1),(73,1),(74,1),(96,1)}
        63:{1,3,5}:{(50,1),(51,1),(53,1),(72,1),(75,1),(77,1),(94,1),(102,1)}
        64:{2,4,6}:{(51,1),(52,1),(58,1),(73,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        65:{1,4,7}:{(52,1),(59,1),(74,1),(76,1)}
        66:{4,5}:{(54,1),(77,1)}
        67:{3,4,6}:{(54,1),(55,1),(56,1),(77,1),(78,1)}
        68:{2,4,7}:{(55,1),(57,1),(78,1),(79,1),(91,1)}
        69:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1)}
        70:{1,3,5,7}:{(57,1),(59,1),(74,1),(79,1),(80,1),(81,1),(92,1),(94,1),(96,1),(102,1)}
        71:{1,6}:{(58,1),(59,1)}
        72:{3,5}:{(60,1),(61,1),(82,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(100,1),(103,1)}
        74:{1,3,7}:{(62,1),(65,1),(84,1),(85,1)}
        75:{2,5}:{(63,1),(64,1),(86,1)}
        76:{1,4,6}:{(64,1),(65,1),(71,1),(84,1),(86,1),(97,1)}
        77:{3,5}:{(66,1),(67,1),(87,1)}
        78:{2,4,6}:{(67,1),(68,1),(69,1),(87,1),(88,1)}
        79:{1,4,7}:{(68,1),(70,1),(88,1),(89,1),(97,1),(104,1)}
        80:{1,3,6}:{(69,1),(70,1),(71,1),(88,1),(90,1),(100,1)}
        81:{2,5,7}:{(70,1),(85,1),(89,1),(90,1),(98,1),(99,1)}
        82:{3,4}:{(72,1),(91,1)}
        83:{2,3,5}:{(72,1),(73,1),(75,1),(91,1),(92,1),(102,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(92,1),(93,1)}
        85:{2,7}:{(74,1),(93,1)}
        86:{1,5}:{(75,1),(76,1)}
        87:{2,5}:{(77,1),(78,1),(94,1)}
        88:{1,4,6}:{(78,1),(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,7}:{(79,1),(81,1),(95,1),(96,1),(101,1)}
        90:{2,6}:{(80,1),(81,1)}
        91:{2,4}:{(82,1),(83,1),(97,1),(104,1)}
        92:{1,3,5}:{(83,1),(84,1),(86,1),(97,1),(98,1),(103,1)}
        93:{2,6}:{(84,1),(85,1),(98,1)}
        94:{1,5}:{(87,1),(88,1),(99,1)}
        95:{2,4,6}:{(88,1),(89,1),(90,1),(99,1),(100,1),(104,1)}
        96:{3,7}:{(89,1),(100,1),(103,1)}
        97:{1,4}:{(91,1),(92,1),(101,1)}
        98:{2,5}:{(92,1),(93,1),(101,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{2,4}:{(97,1),(98,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{3}:{(101,1)}
       104:{4}:{(102,1)}

 182 :  0:{6,7}:{(4,1)}
        1:{5,6}:{(4,1),(5,1)}
        2:{4,5}:{(5,1),(6,1)}
        3:{3,4}:{(6,1),(7,1)}
        4:{5,7}:{(0,1),(1,1),(9,1)}
        5:{4,6}:{(1,1),(2,1),(9,1),(10,1)}
        6:{3,5}:{(2,1),(3,1),(10,1),(11,1)}
        7:{2,4}:{(3,1),(8,1),(11,1),(12,1)}
        8:{2,3}:{(7,1),(13,1)}
        9:{4,7}:{(4,1),(5,1),(14,1)}
       10:{3,6}:{(5,1),(6,1),(14,1),(15,1)}
       11:{2,5}:{(6,1),(7,1),(15,1),(16,1)}
       12:{1,4}:{(7,1),(13,1),(16,1),(17,1)}
       13:{1,3}:{(8,1),(12,1),(18,1),(22,1)}
       14:{3,7}:{(9,1),(10,1),(19,1)}
       15:{2,6}:{(10,1),(11,1),(19,1),(20,1)}
       16:{1,5}:{(11,1),(12,1),(20,1),(21,1)}
       17:{2,4}:{(12,1),(18,1),(21,1),(22,1),(28,1)}
       18:{2}:{(13,1)}
       19:{2,7}:{(14,1),(15,1),(23,1)}
       20:{1,6}:{(15,1),(16,1),(23,1),(24,1)}
       21:{2,5}:{(16,1),(17,1),(24,1),(25,1)}
       22:{3}:{(17,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 183 :   0:{4,5,7}:{(2,1),(3,1),(17,1),(24,1),(43,1)}
         1:{3,4,7}:{(2,1),(4,1),(5,1),(43,1),(71,1)}
         2:{3,5,7}:{(0,1),(1,1),(8,1),(9,1),(13,1)}
         3:{4,6}:{(0,1),(9,1),(10,1)}
         4:{2,4,7}:{(1,1),(6,1),(8,1),(11,1),(12,1)}
         5:{3,4,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(54,1),(62,1)}
         6:{2,3,7}:{(4,1),(14,1),(15,1),(71,1),(97,1)}
         7:{4,6,7}:{(3,1),(16,1),(17,1),(43,1),(145,1)}
         8:{2,5,7}:{(2,1),(4,1),(18,1),(19,1),(23,1)}
         9:{3,6}:{(2,1),(3,1),(19,1)}
        10:{5,6}:{(3,1),(17,1)}
        11:{1,4,7}:{(4,1),(14,1),(18,1),(21,1),(22,1)}
        12:{2,4,6}:{(4,1),(5,1),(15,1),(19,1),(22,1),(23,1),(40,1)}
        13:{3,5}:{(5,1),(23,1),(24,1)}
        14:{1,3,7}:{(6,1),(11,1),(25,1),(26,1),(34,1),(109,1)}
        15:{2,3,6}:{(6,1),(12,1),(26,1),(27,1),(62,1),(88,1)}
        16:{3,6,7}:{(7,1),(9,1),(28,1),(29,1),(143,1)}
        17:{5,7}:{(7,1),(10,1),(146,1)}
        18:{1,5,7}:{(8,1),(11,1),(30,1),(31,1),(36,1)}
        19:{2,6}:{(8,1),(9,1),(31,1)}
        20:{3,5,6}:{(9,1),(10,1),(13,1),(29,1),(32,1),(33,1),(62,1),(139,1),(143,1),(146,1)}
        21:{2,4,7}:{(11,1),(25,1),(30,1),(34,1),(35,1),(58,1)}
        22:{1,4,6}:{(11,1),(12,1),(26,1),(31,1),(35,1),(36,1),(53,1)}
        23:{2,5}:{(12,1),(13,1),(36,1)}
        24:{4,5}:{(13,1),(33,1),(146,1)}
        25:{2,7}:{(14,1),(38,1)}
        26:{1,3,6}:{(14,1),(15,1),(22,1),(38,1),(39,1),(48,1),(101,1)}
        27:{2,3,5}:{(15,1),(23,1),(39,1),(40,1),(51,1),(78,1),(92,1)}
        28:{2,6,7}:{(16,1),(19,1),(41,1),(42,1),(140,1)}
        29:{3,5,7}:{(16,1),(17,1),(20,1),(42,1),(43,1),(71,1)}
        30:{2,5,7}:{(18,1),(21,1),(44,1),(45,1),(49,1)}
        31:{1,6}:{(18,1),(19,1),(45,1)}
        32:{2,5,6}:{(19,1),(20,1),(23,1),(42,1),(46,1),(47,1),(134,1),(140,1)}
        33:{4,6}:{(20,1),(24,1),(43,1),(142,1)}
        34:{3,7}:{(21,1),(48,1)}
        35:{2,4,6}:{(21,1),(22,1),(38,1),(45,1),(48,1),(49,1),(66,1),(72,1),(76,1)}
        36:{1,5}:{(22,1),(23,1),(49,1)}
        37:{2,4,5}:{(23,1),(24,1),(40,1),(47,1),(50,1),(51,1),(78,1),(123,1),(134,1),(142,1)}
        38:{2,6}:{(25,1),(26,1),(52,1)}
        39:{1,3,5}:{(26,1),(27,1),(36,1),(52,1),(53,1),(63,1),(79,1),(91,1),(104,1)}
        40:{2,4}:{(27,1),(53,1),(54,1)}
        41:{1,6,7}:{(28,1),(31,1),(55,1),(56,1),(136,1)}
        42:{2,5,7}:{(28,1),(29,1),(32,1),(56,1),(57,1)}
        43:{4,7}:{(29,1),(33,1)}
        44:{3,5,7}:{(30,1),(34,1),(58,1),(59,1),(63,1),(85,1)}
        45:{2,6}:{(30,1),(31,1),(59,1)}
        46:{1,5,6}:{(31,1),(32,1),(36,1),(56,1),(60,1),(61,1),(128,1),(136,1)}
        47:{2,4,6}:{(32,1),(33,1),(37,1),(57,1),(61,1),(62,1),(88,1)}
        48:{3,6}:{(34,1),(35,1),(63,1),(79,1)}
        49:{2,5}:{(35,1),(36,1),(63,1),(85,1)}
        50:{1,4,5}:{(36,1),(37,1),(53,1),(61,1),(64,1),(65,1),(91,1),(113,1),(128,1)}
        51:{3,5}:{(37,1),(54,1),(62,1),(130,1)}
        52:{2,5}:{(38,1),(39,1),(66,1),(115,1)}
        53:{1,4}:{(39,1),(40,1),(66,1),(76,1)}
        54:{3,4}:{(40,1),(51,1),(142,1)}
        55:{2,6,7}:{(41,1),(45,1),(68,1),(69,1),(131,1)}
        56:{1,5,7}:{(41,1),(42,1),(46,1),(69,1),(70,1)}
        57:{2,4,7}:{(42,1),(43,1),(47,1),(70,1),(71,1),(97,1)}
        58:{4,7}:{(44,1),(72,1),(76,1)}
        59:{3,6}:{(44,1),(45,1),(72,1)}
        60:{2,5,6}:{(45,1),(46,1),(49,1),(69,1),(73,1),(74,1),(120,1),(131,1)}
        61:{1,4,6}:{(46,1),(47,1),(50,1),(70,1),(74,1),(75,1),(101,1)}
        62:{3,6}:{(47,1),(51,1),(71,1)}
        63:{3,5}:{(48,1),(49,1),(76,1)}
        64:{2,4,5}:{(49,1),(50,1),(66,1),(74,1),(76,1),(77,1),(78,1),(98,1),(102,1),(120,1)}
        65:{1,3,5}:{(50,1),(51,1),(67,1),(75,1),(77,1),(78,1)}
        66:{2,4}:{(52,1),(53,1),(79,1)}
        67:{1,3,4}:{(53,1),(54,1),(65,1),(79,1),(80,1),(89,1),(104,1),(113,1),(130,1)}
        68:{3,6,7}:{(55,1),(59,1),(81,1),(82,1),(124,1)}
        69:{2,5,7}:{(55,1),(56,1),(60,1),(82,1),(83,1)}
        70:{1,4,7}:{(56,1),(57,1),(61,1),(83,1),(84,1),(109,1)}
        71:{3,7}:{(57,1),(62,1)}
        72:{4,6}:{(58,1),(59,1),(85,1)}
        73:{3,5,6}:{(59,1),(60,1),(63,1),(82,1),(85,1),(86,1),(87,1),(105,1),(110,1),(124,1)}
        74:{2,4,6}:{(60,1),(61,1),(64,1),(83,1),(86,1),(87,1),(88,1)}
        75:{1,3,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1)}
        76:{4}:{(63,1)}
        77:{3,5}:{(64,1),(79,1),(87,1),(89,1)}
        78:{2,5}:{(65,1),(80,1),(88,1),(91,1)}
        79:{3}:{(66,1)}
        80:{2,4}:{(67,1),(78,1),(92,1),(93,1),(115,1)}
        81:{4,6,7}:{(68,1),(72,1),(94,1),(95,1),(116,1)}
        82:{3,5,7}:{(68,1),(69,1),(73,1),(94,1),(95,1),(96,1)}
        83:{2,4,7}:{(69,1),(70,1),(74,1),(95,1),(96,1),(97,1)}
        84:{1,3,7}:{(70,1),(71,1),(75,1),(96,1),(97,1)}
        85:{5}:{(72,1)}
        86:{4,6}:{(73,1),(76,1),(95,1),(98,1)}
        87:{3,6}:{(74,1),(77,1),(96,1)}
        88:{2,6}:{(75,1),(78,1),(97,1),(101,1)}
        89:{3,4}:{(76,1),(77,1),(102,1)}
        90:{2,3,5}:{(77,1),(78,1),(92,1),(100,1),(102,1),(103,1),(120,1)}
        91:{1,5}:{(78,1),(93,1),(101,1)}
        92:{2,3}:{(79,1),(80,1),(104,1),(130,1)}
        93:{1,4}:{(80,1),(91,1),(104,1)}
        94:{5,7}:{(81,1),(85,1),(105,1)}
        95:{4,7}:{(82,1),(86,1)}
        96:{3,7}:{(83,1),(87,1)}
        97:{2,7}:{(84,1),(88,1),(109,1)}
        98:{4,5}:{(85,1),(86,1),(110,1)}
        99:{3,4,6}:{(86,1),(87,1),(89,1),(107,1),(110,1),(111,1),(124,1)}
       100:{2,3,6}:{(87,1),(88,1),(90,1),(108,1),(111,1),(112,1)}
       101:{1,6}:{(88,1),(91,1),(109,1)}
       102:{2,4}:{(89,1),(90,1),(113,1)}
       103:{1,3,5}:{(90,1),(91,1),(104,1),(112,1),(113,1),(114,1),(128,1),(130,1),(139,1)}
       104:{1,3}:{(92,1),(93,1),(115,1)}
       105:{5,6}:{(94,1),(116,1)}
       106:{4,5,7}:{(94,1),(95,1),(98,1),(116,1),(117,1)}
       107:{3,4,7}:{(95,1),(96,1),(99,1),(117,1),(118,1)}
       108:{2,3,7}:{(96,1),(97,1),(100,1),(118,1),(119,1)}
       109:{1,7}:{(97,1),(101,1)}
       110:{3,5}:{(98,1),(99,1),(120,1)}
       111:{2,4,6}:{(99,1),(100,1),(102,1),(118,1),(120,1),(121,1),(131,1)}
       112:{1,3,6}:{(100,1),(101,1),(103,1),(119,1),(121,1),(122,1),(135,1)}
       113:{1,4}:{(102,1),(103,1),(123,1),(142,1)}
       114:{2,5}:{(103,1),(115,1),(122,1),(123,1)}
       115:{2}:{(104,1)}
       116:{4,6}:{(105,1),(106,1),(124,1)}
       117:{3,5,7}:{(106,1),(107,1),(110,1),(124,1),(125,1)}
       118:{2,4,7}:{(107,1),(108,1),(111,1),(125,1),(126,1)}
       119:{1,3,7}:{(108,1),(109,1),(112,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(110,1),(111,1),(128,1)}
       121:{1,4,6}:{(111,1),(112,1),(113,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(112,1),(114,1),(127,1)}
       123:{2,4}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 184 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(4,1),(15,1),(19,1),(21,1),(37,1),(38,1)}
        1:{1,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(25,1),(28,1),(29,1),(41,1)}
        2:{3,6}:{(0,1),(9,1),(10,1),(42,1)}
        3:{2,5}:{(0,1),(7,1),(9,1),(43,1)}
        4:{2,4,7}:{(0,1),(8,1),(10,1),(11,1),(27,1),(30,1)}
        5:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(32,1),(34,1),(37,1),(44,1)}
        6:{1,3,6}:{(1,1),(2,1),(12,1),(15,1),(16,1),(17,1),(45,1)}
        7:{1,5}:{(1,1),(3,1),(13,1)}
        8:{1,4,7}:{(1,1),(4,1),(14,1),(17,1),(18,1),(36,1)}
        9:{3,5}:{(2,1),(3,1),(19,1)}
       10:{3,7}:{(2,1),(4,1)}
       11:{2,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1)}
       12:{3,6}:{(5,1),(22,1),(23,1),(42,1)}
       13:{2,5}:{(5,1),(7,1),(22,1),(46,1)}
       14:{2,4,7}:{(5,1),(8,1),(23,1),(24,1),(27,1),(39,1)}
       15:{2,6}:{(6,1),(25,1),(26,1),(27,1),(47,1)}
       16:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(42,1)}
       17:{1,3,7}:{(6,1),(8,1),(10,1),(23,1),(27,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(24,1),(29,1)}
       19:{4}:{(9,1)}
       20:{3,5,7}:{(9,1),(10,1),(11,1),(30,1),(31,1),(43,1)}
       21:{2,6}:{(11,1),(29,1),(31,1)}
       22:{3,5}:{(12,1),(13,1),(32,1)}
       23:{3,7}:{(12,1),(14,1)}
       24:{2,5,7}:{(13,1),(14,1),(18,1),(33,1),(34,1)}
       25:{1,6}:{(15,1),(35,1),(36,1),(48,1)}
       26:{2,5}:{(15,1),(16,1),(35,1),(37,1)}
       27:{2,7}:{(15,1),(17,1),(36,1)}
       28:{1,4}:{(16,1),(19,1),(32,1),(37,1),(48,1)}
       29:{1,6}:{(18,1),(21,1),(34,1)}
       30:{4,7}:{(19,1),(20,1),(38,1)}
       31:{3,6}:{(20,1),(21,1),(38,1)}
       32:{4}:{(22,1)}
       33:{3,5,7}:{(22,1),(23,1),(24,1),(39,1),(40,1),(46,1)}
       34:{2,6}:{(24,1),(29,1),(40,1)}
       35:{1,5}:{(25,1),(26,1),(41,1)}
       36:{1,7}:{(25,1),(27,1)}
       37:{2,4}:{(26,1),(28,1),(41,1),(42,1),(47,1)}
       38:{4,6}:{(30,1),(31,1),(43,1)}
       39:{4,7}:{(32,1),(33,1),(44,1)}
       40:{3,6}:{(33,1),(34,1),(44,1)}
       41:{1,4}:{(35,1),(37,1),(45,1)}
       42:{3}:{(37,1)}
       43:{5}:{(38,1)}
       44:{4,6}:{(39,1),(40,1),(46,1)}
       45:{1,3}:{(41,1),(42,1),(47,1)}
       46:{5}:{(44,1)}
       47:{2}:{(45,1),(48,1)}
       48:{1}:{(47,1)}

 185 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(6,1),(28,1),(32,1),(59,1)}
         1:{3,5,6}:{(3,1),(5,1),(6,1),(7,1),(28,1),(32,1),(66,1),(136,1),(144,1),(146,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(39,1),(46,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(17,1),(54,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(46,1),(130,1),(142,1)}
         6:{4,6}:{(1,1),(12,1),(17,1),(140,1)}
         7:{3,5,7}:{(1,1),(16,1),(17,1),(18,1),(54,1),(55,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(32,1),(72,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(24,1),(58,1),(65,1)}
        10:{2,5}:{(2,1),(3,1),(23,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(24,1),(26,1)}
        12:{4,5}:{(3,1),(6,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(26,1),(27,1),(28,1)}
        14:{1,5,6}:{(5,1),(23,1),(29,1),(30,1),(31,1),(65,1),(121,1),(138,1)}
        15:{2,4,6}:{(5,1),(6,1),(25,1),(30,1),(32,1),(33,1),(72,1)}
        16:{2,5,7}:{(5,1),(7,1),(31,1),(33,1),(34,1)}
        17:{4,7}:{(6,1),(7,1)}
        18:{3,6,7}:{(7,1),(28,1),(34,1),(35,1),(144,1)}
        19:{1,3,6}:{(8,1),(9,1),(36,1),(37,1),(38,1),(40,1),(87,1)}
        20:{2,3,5}:{(8,1),(10,1),(37,1),(39,1),(45,1),(80,1),(104,1)}
        21:{2,3,7}:{(8,1),(11,1),(38,1),(54,1),(88,1)}
        22:{2,4,6}:{(9,1),(36,1),(40,1),(41,1),(42,1),(74,1),(76,1),(79,1),(107,1)}
        23:{1,5}:{(9,1),(10,1),(41,1)}
        24:{1,4,7}:{(9,1),(11,1),(38,1),(42,1),(44,1)}
        25:{2,4,5}:{(10,1),(12,1),(15,1),(39,1),(43,1),(45,1),(80,1),(129,1),(130,1),(140,1)}
        26:{2,5,7}:{(10,1),(11,1),(13,1),(44,1),(46,1)}
        27:{4,5,7}:{(12,1),(13,1),(17,1),(47,1),(55,1)}
        28:{3,6}:{(13,1),(46,1),(47,1)}
        29:{2,5,6}:{(14,1),(41,1),(48,1),(49,1),(50,1),(79,1),(109,1),(132,1)}
        30:{1,4,6}:{(14,1),(15,1),(43,1),(49,1),(51,1),(52,1),(87,1)}
        31:{1,5,7}:{(14,1),(16,1),(50,1),(52,1),(53,1)}
        32:{3,6}:{(15,1),(45,1),(54,1)}
        33:{2,4,7}:{(15,1),(16,1),(17,1),(52,1),(54,1),(88,1)}
        34:{2,6,7}:{(16,1),(18,1),(46,1),(53,1),(142,1)}
        35:{4,6,7}:{(17,1),(18,1),(47,1),(55,1),(145,1)}
        36:{2,6}:{(19,1),(56,1),(57,1)}
        37:{1,3,5}:{(19,1),(20,1),(23,1),(56,1),(58,1),(60,1),(89,1),(95,1),(117,1)}
        38:{1,3,7}:{(19,1),(21,1),(24,1),(57,1),(61,1),(103,1)}
        39:{2,4}:{(20,1),(58,1),(59,1)}
        40:{3,6}:{(22,1),(60,1),(61,1),(89,1)}
        41:{2,5}:{(22,1),(23,1),(60,1),(119,1)}
        42:{2,4,7}:{(22,1),(24,1),(57,1),(61,1),(63,1),(92,1)}
        43:{1,4,5}:{(23,1),(25,1),(30,1),(58,1),(62,1),(64,1),(95,1),(118,1),(121,1)}
        44:{1,5,7}:{(23,1),(24,1),(26,1),(63,1),(65,1)}
        45:{3,5}:{(25,1),(32,1),(59,1),(135,1)}
        46:{2,6}:{(26,1),(28,1),(65,1)}
        47:{4,6}:{(27,1),(28,1),(66,1)}
        48:{3,5,6}:{(29,1),(60,1),(67,1),(68,1),(69,1),(93,1),(96,1),(119,1),(123,1),(124,1)}
        49:{2,4,6}:{(29,1),(30,1),(62,1),(67,1),(69,1),(70,1),(72,1)}
        50:{2,5,7}:{(29,1),(31,1),(68,1),(70,1),(71,1)}
        51:{1,3,6}:{(30,1),(32,1),(64,1),(69,1),(72,1),(73,1)}
        52:{1,4,7}:{(30,1),(31,1),(33,1),(70,1),(73,1),(103,1)}
        53:{1,6,7}:{(31,1),(34,1),(65,1),(71,1),(138,1)}
        54:{3,7}:{(32,1),(33,1)}
        55:{5,7}:{(35,1),(66,1),(146,1)}
        56:{2,5}:{(36,1),(37,1),(74,1),(128,1)}
        57:{2,7}:{(36,1),(38,1)}
        58:{1,4}:{(37,1),(39,1),(74,1),(76,1)}
        59:{3,4}:{(39,1),(45,1),(140,1)}
        60:{3,5}:{(40,1),(41,1),(76,1)}
        61:{3,7}:{(40,1),(42,1)}
        62:{2,4,5}:{(41,1),(43,1),(49,1),(74,1),(76,1),(78,1),(80,1),(81,1),(106,1),(109,1)}
        63:{2,5,7}:{(41,1),(42,1),(44,1),(77,1),(79,1)}
        64:{1,3,5}:{(43,1),(45,1),(51,1),(75,1),(78,1),(80,1)}
        65:{1,6}:{(44,1),(46,1),(79,1)}
        66:{5,6}:{(47,1),(55,1)}
        67:{4,6}:{(48,1),(76,1),(81,1),(83,1)}
        68:{3,5,7}:{(48,1),(50,1),(83,1),(84,1),(86,1),(114,1)}
        69:{3,6}:{(49,1),(78,1),(86,1)}
        70:{2,4,7}:{(49,1),(50,1),(52,1),(83,1),(86,1),(88,1)}
        71:{2,6,7}:{(50,1),(53,1),(79,1),(84,1),(132,1)}
        72:{2,6}:{(51,1),(80,1),(87,1),(88,1)}
        73:{1,3,7}:{(51,1),(52,1),(54,1),(86,1),(88,1)}
        74:{2,4}:{(56,1),(58,1),(89,1)}
        75:{1,3,4}:{(58,1),(59,1),(64,1),(89,1),(90,1),(91,1),(117,1),(118,1),(135,1)}
        76:{4}:{(60,1)}
        77:{3,5,7}:{(60,1),(61,1),(63,1),(92,1),(93,1),(119,1)}
        78:{3,5}:{(62,1),(69,1),(89,1),(91,1)}
        79:{2,6}:{(63,1),(65,1),(93,1)}
        80:{2,5}:{(64,1),(72,1),(90,1),(95,1)}
        81:{4,5}:{(67,1),(96,1),(119,1)}
        82:{3,4,6}:{(67,1),(69,1),(91,1),(96,1),(98,1),(99,1),(123,1)}
        83:{4,7}:{(67,1),(68,1)}
        84:{3,6,7}:{(68,1),(71,1),(93,1),(100,1),(123,1)}
        85:{2,3,6}:{(69,1),(72,1),(94,1),(98,1),(101,1),(102,1)}
        86:{3,7}:{(69,1),(70,1)}
        87:{1,6}:{(72,1),(95,1),(103,1)}
        88:{2,7}:{(72,1),(73,1),(103,1)}
        89:{3}:{(74,1)}
        90:{2,4}:{(75,1),(80,1),(104,1),(105,1),(128,1)}
        91:{3,4}:{(76,1),(78,1),(106,1)}
        92:{4,7}:{(76,1),(77,1),(107,1)}
        93:{3,6}:{(77,1),(79,1),(107,1)}
        94:{2,3,5}:{(78,1),(80,1),(85,1),(104,1),(106,1),(108,1),(109,1)}
        95:{1,5}:{(80,1),(87,1),(105,1)}
        96:{3,5}:{(81,1),(82,1),(109,1)}
        97:{4,5,7}:{(81,1),(83,1),(110,1),(111,1),(114,1)}
        98:{2,4,6}:{(82,1),(85,1),(106,1),(109,1),(112,1),(113,1),(132,1)}
        99:{3,4,7}:{(82,1),(83,1),(86,1),(110,1),(113,1)}
       100:{4,6,7}:{(83,1),(84,1),(107,1),(111,1),(114,1)}
       101:{1,3,6}:{(85,1),(87,1),(108,1),(112,1),(115,1),(116,1),(133,1)}
       102:{2,3,7}:{(85,1),(86,1),(88,1),(113,1),(116,1)}
       103:{1,7}:{(87,1),(88,1)}
       104:{2,3}:{(89,1),(90,1),(117,1),(135,1)}
       105:{1,4}:{(90,1),(95,1),(117,1)}
       106:{2,4}:{(91,1),(94,1),(118,1)}
       107:{4,6}:{(92,1),(93,1),(119,1)}
       108:{1,3,5}:{(94,1),(95,1),(101,1),(117,1),(118,1),(120,1),(121,1),(135,1),(136,1)}
       109:{2,5}:{(96,1),(98,1),(121,1)}
       110:{3,5,7}:{(96,1),(97,1),(99,1),(122,1),(123,1)}
       111:{4,6}:{(97,1),(123,1),(124,1)}
       112:{1,4,6}:{(98,1),(101,1),(118,1),(121,1),(125,1),(126,1),(138,1)}
       113:{2,4,7}:{(98,1),(99,1),(102,1),(122,1),(126,1)}
       114:{5,7}:{(100,1),(119,1),(124,1)}
       115:{2,6}:{(101,1),(120,1),(127,1)}
       116:{1,3,7}:{(101,1),(102,1),(103,1),(126,1),(127,1),(139,1)}
       117:{1,3}:{(104,1),(105,1),(128,1)}
       118:{1,4}:{(106,1),(108,1),(129,1),(140,1)}
       119:{5}:{(107,1)}
       120:{2,5}:{(108,1),(115,1),(128,1),(129,1)}
       121:{1,5}:{(109,1),(112,1),(130,1)}
       122:{2,5,7}:{(109,1),(110,1),(113,1),(131,1),(132,1)}
       123:{3,6}:{(110,1),(111,1),(132,1)}
       124:{5,6}:{(111,1),(114,1)}
       125:{2,4,6}:{(112,1),(115,1),(129,1),(130,1),(133,1),(134,1),(140,1),(142,1),(145,1)}
       126:{1,4,7}:{(112,1),(113,1),(116,1),(131,1),(134,1)}
       127:{2,7}:{(115,1),(116,1)}
       128:{2}:{(117,1)}
       129:{2,4}:{(118,1),(120,1),(135,1)}
       130:{2,5}:{(121,1),(125,1),(136,1),(146,1)}
       131:{1,5,7}:{(121,1),(122,1),(126,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(123,1),(138,1)}
       133:{3,6}:{(125,1),(135,1),(136,1),(139,1)}
       134:{2,4,7}:{(125,1),(126,1),(127,1),(137,1),(139,1),(143,1)}
       135:{3}:{(129,1)}
       136:{3,5}:{(130,1),(133,1),(140,1)}
       137:{2,5,7}:{(130,1),(131,1),(134,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{3,7}:{(133,1),(134,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 186 :   0:{3,6,7}:{(2,1),(4,1),(5,1),(55,1),(143,1)}
         1:{3,5,6}:{(3,1),(5,1),(6,1),(21,1),(22,1),(24,1),(55,1),(136,1),(143,1),(146,1)}
         2:{2,6,7}:{(0,1),(7,1),(9,1),(75,1),(140,1)}
         3:{2,5,6}:{(1,1),(8,1),(9,1),(10,1),(39,1),(75,1),(128,1),(140,1)}
         4:{4,6,7}:{(0,1),(11,1),(13,1),(37,1),(145,1)}
         5:{3,5,7}:{(0,1),(1,1),(9,1),(11,1),(13,1),(35,1)}
         6:{4,6}:{(1,1),(12,1),(13,1),(142,1)}
         7:{1,6,7}:{(2,1),(15,1),(17,1),(95,1),(134,1)}
         8:{1,5,6}:{(3,1),(16,1),(17,1),(18,1),(57,1),(95,1),(116,1),(134,1)}
         9:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(20,1)}
        10:{2,4,6}:{(3,1),(6,1),(18,1),(19,1),(20,1),(21,1),(50,1)}
        11:{5,7}:{(4,1),(22,1),(146,1)}
        12:{4,5}:{(6,1),(24,1),(146,1)}
        13:{4,7}:{(5,1),(6,1)}
        14:{3,4,6}:{(6,1),(21,1),(24,1),(25,1),(26,1),(51,1),(55,1)}
        15:{2,6,7}:{(7,1),(27,1),(29,1),(111,1),(126,1)}
        16:{2,5,6}:{(8,1),(28,1),(29,1),(30,1),(77,1),(101,1),(111,1),(126,1)}
        17:{1,5,7}:{(7,1),(8,1),(9,1),(29,1),(32,1)}
        18:{1,4,6}:{(8,1),(10,1),(30,1),(31,1),(32,1),(33,1),(70,1)}
        19:{2,4,5}:{(10,1),(12,1),(31,1),(34,1),(39,1),(68,1),(71,1),(128,1),(131,1),(142,1)}
        20:{2,4,7}:{(9,1),(10,1),(13,1),(32,1),(35,1),(69,1)}
        21:{3,6}:{(10,1),(34,1),(35,1)}
        22:{5,6}:{(11,1),(37,1)}
        23:{4,5,7}:{(11,1),(12,1),(13,1),(37,1),(38,1)}
        24:{3,5}:{(12,1),(14,1),(39,1)}
        25:{3,4,7}:{(13,1),(14,1),(35,1),(38,1),(40,1)}
        26:{2,4,6}:{(14,1),(36,1),(39,1),(40,1),(41,1),(71,1),(75,1)}
        27:{3,6,7}:{(15,1),(42,1),(43,1),(114,1),(124,1)}
        28:{3,5,6}:{(16,1),(43,1),(44,1),(47,1),(80,1),(82,1),(97,1),(114,1),(124,1),(139,1)}
        29:{2,5,7}:{(15,1),(16,1),(17,1),(43,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(44,1),(45,1),(46,1),(47,1),(50,1)}
        31:{1,4,5}:{(18,1),(19,1),(45,1),(48,1),(57,1),(90,1),(92,1),(116,1),(119,1)}
        32:{1,4,7}:{(17,1),(18,1),(20,1),(46,1),(49,1),(91,1)}
        33:{1,3,6}:{(18,1),(21,1),(47,1),(48,1),(49,1),(50,1)}
        34:{3,5}:{(19,1),(21,1),(51,1),(138,1)}
        35:{3,7}:{(20,1),(21,1)}
        36:{2,3,6}:{(21,1),(26,1),(50,1),(52,1),(53,1),(54,1)}
        37:{4,6}:{(22,1),(23,1),(55,1)}
        38:{3,5,7}:{(23,1),(24,1),(25,1),(55,1),(56,1)}
        39:{2,5}:{(24,1),(26,1),(57,1)}
        40:{2,4,7}:{(25,1),(26,1),(53,1),(56,1),(58,1)}
        41:{1,4,6}:{(26,1),(54,1),(57,1),(58,1),(59,1),(92,1),(95,1)}
        42:{4,6,7}:{(27,1),(60,1),(62,1),(99,1),(133,1)}
        43:{3,5,7}:{(27,1),(28,1),(29,1),(60,1),(62,1),(65,1)}
        44:{4,6}:{(28,1),(61,1),(62,1),(113,1)}
        45:{2,4,5}:{(30,1),(31,1),(61,1),(64,1),(68,1),(77,1),(101,1),(104,1),(110,1),(113,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(62,1),(65,1),(69,1)}
        47:{3,6}:{(30,1),(64,1),(65,1)}
        48:{1,3,5}:{(31,1),(33,1),(34,1),(64,1),(67,1),(68,1)}
        49:{1,3,7}:{(32,1),(33,1),(35,1),(65,1),(69,1)}
        50:{2,6}:{(33,1),(68,1),(69,1),(70,1)}
        51:{3,4}:{(34,1),(71,1),(142,1)}
        52:{2,3,5}:{(34,1),(36,1),(39,1),(68,1),(71,1),(72,1),(108,1)}
        53:{2,3,7}:{(35,1),(36,1),(40,1),(69,1),(73,1)}
        54:{1,3,6}:{(36,1),(41,1),(70,1),(72,1),(73,1),(74,1),(79,1)}
        55:{3,6}:{(37,1),(38,1),(75,1)}
        56:{2,5,7}:{(38,1),(39,1),(40,1),(75,1),(76,1)}
        57:{1,5}:{(39,1),(41,1),(77,1)}
        58:{1,4,7}:{(40,1),(41,1),(73,1),(76,1),(78,1)}
        59:{2,4,6}:{(41,1),(74,1),(77,1),(78,1),(79,1),(110,1),(111,1),(113,1),(133,1)}
        60:{5,7}:{(42,1),(80,1),(139,1)}
        61:{4,5}:{(44,1),(82,1),(139,1)}
        62:{4,7}:{(43,1),(44,1)}
        63:{3,4,6}:{(44,1),(47,1),(82,1),(83,1),(84,1),(85,1),(114,1)}
        64:{3,5}:{(45,1),(47,1),(85,1),(123,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(47,1),(50,1),(84,1),(86,1),(87,1),(88,1)}
        67:{1,3,4}:{(48,1),(51,1),(85,1),(89,1),(92,1),(119,1),(122,1),(123,1),(138,1)}
        68:{2,5}:{(48,1),(50,1),(89,1),(90,1)}
        69:{2,7}:{(49,1),(50,1),(91,1)}
        70:{1,6}:{(50,1),(90,1),(91,1)}
        71:{2,4}:{(51,1),(52,1),(92,1)}
        72:{1,3,5}:{(52,1),(54,1),(57,1),(90,1),(92,1),(93,1),(97,1),(122,1),(123,1)}
        73:{1,3,7}:{(53,1),(54,1),(58,1),(91,1),(94,1),(98,1)}
        74:{2,6}:{(54,1),(93,1),(94,1)}
        75:{2,6}:{(55,1),(56,1),(95,1)}
        76:{1,5,7}:{(56,1),(57,1),(58,1),(95,1),(96,1)}
        77:{2,5}:{(57,1),(59,1),(97,1),(139,1)}
        78:{2,4,7}:{(58,1),(59,1),(94,1),(96,1),(98,1),(125,1)}
        79:{3,6}:{(59,1),(97,1),(98,1),(123,1)}
        80:{5,6}:{(60,1),(99,1)}
        81:{4,5,7}:{(60,1),(61,1),(62,1),(99,1),(100,1)}
        82:{3,5}:{(61,1),(63,1),(101,1)}
        83:{3,4,7}:{(62,1),(63,1),(65,1),(100,1),(102,1)}
        84:{2,4,6}:{(63,1),(66,1),(101,1),(102,1),(103,1),(104,1),(126,1)}
        85:{3,4}:{(64,1),(104,1),(113,1)}
        86:{2,3,5}:{(64,1),(66,1),(68,1),(101,1),(104,1),(105,1),(108,1)}
        87:{2,3,7}:{(65,1),(66,1),(69,1),(102,1),(106,1)}
        88:{1,3,6}:{(66,1),(70,1),(103,1),(105,1),(106,1),(107,1),(130,1)}
        89:{2,4}:{(67,1),(68,1),(108,1),(109,1),(132,1)}
        90:{1,5}:{(68,1),(70,1),(109,1)}
        91:{1,7}:{(69,1),(70,1)}
        92:{1,4}:{(71,1),(72,1),(110,1),(113,1)}
        93:{2,5}:{(72,1),(74,1),(110,1),(132,1)}
        94:{2,7}:{(73,1),(74,1)}
        95:{1,6}:{(75,1),(76,1),(111,1)}
        96:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        97:{3,5}:{(77,1),(79,1),(113,1)}
        98:{3,7}:{(78,1),(79,1)}
        99:{4,6}:{(80,1),(81,1),(114,1)}
       100:{3,5,7}:{(81,1),(82,1),(83,1),(114,1),(115,1)}
       101:{2,5}:{(82,1),(84,1),(116,1)}
       102:{2,4,7}:{(83,1),(84,1),(87,1),(115,1),(117,1)}
       103:{1,4,6}:{(84,1),(88,1),(116,1),(117,1),(118,1),(119,1),(134,1)}
       104:{2,4}:{(85,1),(86,1),(119,1)}
       105:{1,3,5}:{(86,1),(88,1),(90,1),(116,1),(119,1),(120,1),(122,1),(136,1),(138,1)}
       106:{1,3,7}:{(87,1),(88,1),(91,1),(117,1),(121,1),(137,1)}
       107:{2,6}:{(88,1),(120,1),(121,1)}
       108:{2,3}:{(89,1),(122,1),(123,1),(138,1)}
       109:{1,4}:{(89,1),(90,1),(122,1)}
       110:{2,4}:{(92,1),(93,1),(123,1)}
       111:{2,6}:{(95,1),(96,1),(124,1)}
       112:{3,5,7}:{(96,1),(97,1),(98,1),(124,1),(125,1),(139,1)}
       113:{4}:{(97,1)}
       114:{3,6}:{(99,1),(100,1),(126,1)}
       115:{2,5,7}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{1,5}:{(101,1),(103,1),(128,1)}
       117:{1,4,7}:{(102,1),(103,1),(106,1),(127,1),(129,1)}
       118:{2,4,6}:{(103,1),(107,1),(128,1),(129,1),(130,1),(131,1),(140,1),(142,1),(145,1)}
       119:{1,4}:{(104,1),(105,1),(131,1),(142,1)}
       120:{2,5}:{(105,1),(107,1),(131,1),(132,1)}
       121:{2,7}:{(106,1),(107,1)}
       122:{1,3}:{(108,1),(109,1),(132,1)}
       123:{3}:{(110,1)}
       124:{3,6}:{(111,1),(112,1),(133,1)}
       125:{4,7}:{(112,1),(113,1),(133,1)}
       126:{2,6}:{(114,1),(115,1),(134,1)}
       127:{1,5,7}:{(115,1),(116,1),(117,1),(134,1),(135,1)}
       128:{2,5}:{(116,1),(118,1),(136,1),(146,1)}
       129:{2,4,7}:{(117,1),(118,1),(121,1),(135,1),(137,1),(144,1)}
       130:{3,6}:{(118,1),(136,1),(137,1),(138,1)}
       131:{2,4}:{(119,1),(120,1),(138,1)}
       132:{2}:{(122,1)}
       133:{4,6}:{(124,1),(125,1),(139,1)}
       134:{1,6}:{(126,1),(127,1),(140,1)}
       135:{2,5,7}:{(127,1),(128,1),(129,1),(140,1),(141,1)}
       136:{3,5}:{(128,1),(130,1),(142,1)}
       137:{3,7}:{(129,1),(130,1)}
       138:{3}:{(131,1)}
       139:{5}:{(133,1)}
       140:{2,6}:{(134,1),(135,1),(143,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{4}:{(136,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 187 :   0:{4,5,6}:{(1,1),(2,1),(131,1),(149,1)}
         1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1),(118,1),(144,1)}
         2:{4,5,7}:{(0,1),(5,1),(6,1)}
         3:{3,4,6}:{(1,1),(7,1),(8,1),(9,1)}
         4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(103,1),(135,1)}
         5:{3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1)}
         6:{4,6,7}:{(2,1),(12,1),(13,1),(149,1)}
         7:{3,4,5}:{(3,1),(14,1),(114,1),(118,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1),(16,1),(17,1)}
         9:{3,4,7}:{(3,1),(5,1),(17,1)}
        10:{1,5,6}:{(4,1),(16,1),(18,1),(19,1),(87,1),(123,1)}
        11:{2,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1)}
        12:{3,6,7}:{(5,1),(6,1),(20,1),(144,1)}
        13:{5,6,7}:{(6,1),(152,1)}
        14:{2,4,5}:{(7,1),(8,1),(21,1),(22,1),(98,1),(103,1)}
        15:{2,3,6}:{(8,1),(21,1),(23,1),(24,1)}
        16:{1,4,6}:{(8,1),(10,1),(22,1),(23,1),(25,1),(26,1)}
        17:{2,4,7}:{(8,1),(9,1),(11,1),(24,1),(26,1)}
        18:{2,5,6}:{(10,1),(25,1),(27,1),(28,1),(72,1),(108,1)}
        19:{1,5,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        20:{2,6,7}:{(11,1),(12,1),(29,1),(135,1)}
        21:{2,3,5}:{(14,1),(15,1),(30,1),(31,1)}
        22:{1,4,5}:{(14,1),(16,1),(31,1),(32,1),(82,1),(87,1)}
        23:{1,3,6}:{(15,1),(16,1),(31,1),(33,1),(34,1),(35,1)}
        24:{2,3,7}:{(15,1),(17,1),(34,1)}
        25:{2,4,6}:{(16,1),(18,1),(32,1),(33,1),(35,1),(36,1),(37,1)}
        26:{1,4,7}:{(16,1),(17,1),(19,1),(34,1),(36,1)}
        27:{3,5,6}:{(18,1),(35,1),(37,1),(38,1),(59,1),(92,1),(94,1)}
        28:{2,5,7}:{(18,1),(19,1),(36,1),(38,1),(39,1)}
        29:{1,6,7}:{(19,1),(20,1),(39,1),(123,1)}
        30:{2,3,4}:{(21,1),(40,1),(95,1),(98,1)}
        31:{1,3,5}:{(21,1),(22,1),(23,1),(40,1),(41,1),(42,1)}
        32:{2,4,5}:{(22,1),(25,1),(41,1),(42,1),(48,1),(67,1),(72,1)}
        33:{2,6}:{(23,1),(41,1),(45,1)}
        34:{1,3,7}:{(23,1),(24,1),(26,1),(45,1),(47,1)}
        35:{3,6}:{(25,1),(42,1),(47,1)}
        36:{2,4,7}:{(25,1),(26,1),(28,1),(45,1),(47,1),(49,1)}
        37:{4,6}:{(27,1),(48,1),(49,1)}
        38:{3,5,7}:{(27,1),(28,1),(47,1),(49,1),(50,1),(78,1)}
        39:{2,6,7}:{(28,1),(29,1),(50,1),(108,1)}
        40:{1,3,4}:{(30,1),(31,1),(51,1),(54,1),(79,1),(82,1)}
        41:{2,5}:{(31,1),(33,1),(51,1)}
        42:{3,5}:{(32,1),(35,1),(54,1)}
        43:{1,2,6}:{(33,1),(52,1),(55,1),(56,1),(137,1)}
        44:{2,3,6}:{(33,1),(35,1),(53,1),(55,1),(57,1),(58,1)}
        45:{2,7}:{(33,1),(34,1)}
        46:{3,4,6}:{(35,1),(37,1),(54,1),(57,1),(59,1),(60,1),(92,1)}
        47:{3,7}:{(35,1),(36,1)}
        48:{4,5}:{(37,1),(59,1)}
        49:{4,7}:{(37,1),(38,1)}
        50:{3,6,7}:{(38,1),(39,1),(63,1),(92,1)}
        51:{2,4}:{(40,1),(41,1),(65,1)}
        52:{1,2,5}:{(41,1),(43,1),(64,1),(66,1),(125,1)}
        53:{2,3,5}:{(41,1),(42,1),(44,1),(65,1),(66,1),(67,1),(72,1)}
        54:{3,4}:{(42,1),(67,1)}
        55:{1,3,6}:{(43,1),(44,1),(66,1),(69,1),(70,1),(71,1)}
        56:{1,2,7}:{(43,1),(45,1),(71,1),(146,1)}
        57:{2,4,6}:{(44,1),(46,1),(67,1),(70,1),(72,1),(73,1),(108,1)}
        58:{2,3,7}:{(44,1),(45,1),(47,1),(71,1),(73,1)}
        59:{3,5}:{(46,1),(48,1),(72,1)}
        60:{3,4,7}:{(46,1),(47,1),(49,1),(73,1),(75,1)}
        61:{4,5,6}:{(48,1),(74,1),(76,1),(77,1)}
        62:{4,5,7}:{(48,1),(49,1),(75,1),(77,1),(78,1)}
        63:{4,6,7}:{(49,1),(50,1),(77,1),(78,1)}
        64:{1,2,4}:{(51,1),(52,1),(79,1),(82,1),(111,1)}
        65:{2,3}:{(51,1),(79,1)}
        66:{1,3,5}:{(52,1),(53,1),(55,1),(79,1),(81,1),(82,1),(87,1)}
        67:{2,4}:{(53,1),(54,1),(82,1)}
        68:{3,4,5}:{(54,1),(59,1),(83,1),(84,1)}
        69:{2,3,6}:{(55,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        70:{1,4,6}:{(55,1),(57,1),(82,1),(85,1),(87,1),(88,1),(123,1)}
        71:{1,3,7}:{(55,1),(56,1),(58,1),(86,1),(88,1)}
        72:{2,5}:{(57,1),(59,1),(87,1)}
        73:{2,4,7}:{(57,1),(58,1),(60,1),(88,1),(90,1)}
        74:{3,5,6}:{(59,1),(61,1),(84,1),(89,1),(91,1),(92,1)}
        75:{3,5,7}:{(59,1),(60,1),(62,1),(90,1),(92,1)}
        76:{4,5,7}:{(61,1),(91,1),(93,1)}
        77:{4,6}:{(62,1),(92,1),(94,1)}
        78:{5,7}:{(63,1),(94,1)}
        79:{1,3}:{(64,1),(65,1),(95,1)}
        80:{2,3,4}:{(65,1),(67,1),(96,1),(97,1)}
        81:{2,3,5}:{(66,1),(69,1),(95,1),(98,1),(103,1),(125,1),(128,1)}
        82:{1,4}:{(66,1),(67,1),(98,1)}
        83:{2,4,5}:{(67,1),(68,1),(72,1),(97,1),(99,1),(100,1)}
        84:{3,4,6}:{(68,1),(74,1),(100,1),(101,1)}
        85:{2,4,6}:{(69,1),(70,1),(98,1),(102,1),(103,1),(104,1),(135,1)}
        86:{2,3,7}:{(69,1),(71,1),(104,1),(146,1),(147,1)}
        87:{1,5}:{(70,1),(72,1),(103,1)}
        88:{1,4,7}:{(70,1),(71,1),(73,1),(104,1),(106,1)}
        89:{2,5,6}:{(72,1),(74,1),(100,1),(105,1),(107,1),(108,1)}
        90:{2,5,7}:{(72,1),(73,1),(75,1),(106,1),(108,1)}
        91:{3,5,7}:{(74,1),(76,1),(101,1),(107,1),(109,1)}
        92:{3,6}:{(75,1),(77,1),(108,1)}
        93:{4,6,7}:{(76,1),(77,1),(109,1),(110,1)}
        94:{5,6}:{(77,1),(78,1)}
        95:{2,3}:{(79,1),(111,1)}
        96:{1,3,4}:{(79,1),(80,1),(82,1),(111,1),(112,1),(114,1)}
        97:{2,3,5}:{(80,1),(83,1),(112,1),(113,1)}
        98:{2,4}:{(81,1),(82,1),(114,1)}
        99:{1,4,5}:{(82,1),(83,1),(87,1),(112,1),(115,1),(116,1)}
       100:{2,4,6}:{(83,1),(84,1),(89,1),(113,1),(116,1),(117,1)}
       101:{3,4,7}:{(84,1),(91,1),(117,1)}
       102:{3,4,6}:{(85,1),(114,1),(118,1),(119,1),(139,1),(141,1),(144,1)}
       103:{2,5}:{(85,1),(87,1),(118,1)}
       104:{2,4,7}:{(85,1),(86,1),(88,1),(119,1),(121,1)}
       105:{1,5,6}:{(87,1),(89,1),(116,1),(120,1),(122,1),(123,1)}
       106:{1,5,7}:{(87,1),(88,1),(90,1),(121,1),(123,1)}
       107:{2,5,7}:{(89,1),(91,1),(117,1),(122,1),(124,1)}
       108:{2,6}:{(90,1),(92,1),(123,1)}
       109:{3,6,7}:{(91,1),(92,1),(93,1),(124,1)}
       110:{5,6,7}:{(93,1),(94,1)}
       111:{2,4}:{(95,1),(96,1),(125,1)}
       112:{1,3,5}:{(96,1),(97,1),(99,1),(125,1),(126,1),(128,1)}
       113:{2,3,6}:{(97,1),(100,1),(126,1),(127,1)}
       114:{3,4}:{(98,1),(128,1)}
       115:{2,4,5}:{(98,1),(99,1),(103,1),(125,1),(128,1),(129,1),(131,1)}
       116:{1,4,6}:{(99,1),(100,1),(105,1),(126,1),(129,1),(130,1)}
       117:{2,4,7}:{(100,1),(101,1),(107,1),(127,1),(130,1)}
       118:{3,5}:{(102,1),(103,1),(131,1)}
       119:{3,4,7}:{(102,1),(104,1),(133,1),(147,1),(148,1)}
       120:{2,5,6}:{(103,1),(105,1),(129,1),(132,1),(134,1),(135,1)}
       121:{2,5,7}:{(103,1),(104,1),(106,1),(133,1),(135,1)}
       122:{1,5,7}:{(105,1),(107,1),(130,1),(134,1),(136,1)}
       123:{1,6}:{(106,1),(108,1),(135,1)}
       124:{2,6,7}:{(107,1),(108,1),(109,1),(136,1)}
       125:{2,5}:{(111,1),(112,1),(137,1)}
       126:{1,3,6}:{(112,1),(113,1),(116,1),(137,1),(138,1),(139,1)}
       127:{2,3,7}:{(113,1),(117,1),(138,1)}
       128:{3,5}:{(114,1),(115,1),(139,1)}
       129:{2,4,6}:{(115,1),(116,1),(120,1),(137,1),(139,1),(140,1),(141,1)}
       130:{1,4,7}:{(116,1),(117,1),(122,1),(138,1),(140,1)}
       131:{4,5}:{(118,1),(141,1)}
       132:{3,5,6}:{(118,1),(120,1),(139,1),(141,1),(143,1),(144,1),(152,1)}
       133:{3,5,7}:{(118,1),(119,1),(121,1),(142,1),(144,1)}
       134:{2,5,7}:{(120,1),(122,1),(140,1),(143,1),(145,1)}
       135:{2,6}:{(121,1),(123,1),(144,1)}
       136:{1,6,7}:{(122,1),(123,1),(124,1),(145,1)}
       137:{2,6}:{(125,1),(126,1),(146,1)}
       138:{1,3,7}:{(126,1),(127,1),(130,1),(146,1),(147,1)}
       139:{3,6}:{(128,1),(129,1),(147,1)}
       140:{2,4,7}:{(129,1),(130,1),(134,1),(146,1),(147,1),(148,1)}
       141:{4,6}:{(131,1),(132,1),(148,1)}
       142:{4,5,7}:{(131,1),(133,1),(148,1),(149,1),(153,1)}
       143:{3,5,7}:{(132,1),(134,1),(147,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(133,1),(135,1),(149,1)}
       145:{2,6,7}:{(134,1),(135,1),(136,1),(150,1)}
       146:{2,7}:{(137,1),(138,1)}
       147:{3,7}:{(139,1),(140,1)}
       148:{4,7}:{(141,1),(143,1)}
       149:{4,6}:{(142,1),(144,1),(152,1)}
       150:{3,6,7}:{(143,1),(144,1),(145,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 188 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(11,1),(13,1),(28,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1)}
        2:{4,7}:{(0,1),(7,1),(35,1)}
        3:{3,6}:{(0,1),(6,1),(7,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1)}
        5:{2,4,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(25,1)}
        6:{2,6}:{(1,1),(3,1),(10,1)}
        7:{4,6}:{(2,1),(3,1),(13,1)}
        8:{2,5,7}:{(4,1),(14,1),(15,1),(16,1),(31,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(32,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{3,7}:{(5,1),(19,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(18,1),(19,1),(20,1),(33,1),(35,1),(43,1)}
       13:{5}:{(7,1)}
       14:{3,5,7}:{(8,1),(21,1),(22,1),(23,1),(36,1),(37,1)}
       15:{2,4,7}:{(8,1),(9,1),(21,1),(23,1),(24,1),(25,1)}
       16:{2,6}:{(8,1),(10,1),(22,1)}
       17:{1,3,7}:{(9,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(38,1),(40,1),(44,1)}
       19:{3,6}:{(11,1),(12,1),(28,1),(45,1)}
       20:{2,5}:{(12,1),(13,1),(27,1),(28,1)}
       21:{4,7}:{(14,1),(29,1),(41,1)}
       22:{3,6}:{(14,1),(16,1),(29,1)}
       23:{3,7}:{(15,1),(30,1)}
       24:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(31,1),(33,1),(41,1),(43,1)}
       25:{2,7}:{(17,1),(32,1),(33,1)}
       26:{1,3,6}:{(17,1),(18,1),(19,1),(30,1),(33,1),(34,1),(46,1)}
       27:{1,5}:{(18,1),(20,1),(31,1)}
       28:{3,5}:{(19,1),(20,1),(35,1)}
       29:{4,6}:{(21,1),(22,1),(36,1)}
       30:{3,6}:{(23,1),(24,1),(37,1),(45,1)}
       31:{2,5}:{(24,1),(27,1),(36,1),(37,1)}
       32:{1,7}:{(25,1),(38,1)}
       33:{2,6}:{(25,1),(26,1),(38,1),(39,1),(47,1)}
       34:{1,3,5}:{(26,1),(27,1),(28,1),(37,1),(39,1),(40,1),(45,1)}
       35:{4}:{(28,1)}
       36:{5}:{(29,1)}
       37:{3,5}:{(30,1),(31,1),(41,1)}
       38:{1,6}:{(32,1),(33,1),(42,1),(48,1)}
       39:{2,5}:{(33,1),(34,1),(42,1),(43,1)}
       40:{1,4}:{(34,1),(35,1),(41,1),(43,1),(48,1)}
       41:{4}:{(37,1)}
       42:{1,5}:{(38,1),(39,1),(44,1)}
       43:{2,4}:{(39,1),(40,1),(44,1),(45,1),(47,1)}
       44:{1,4}:{(42,1),(43,1),(46,1)}
       45:{3}:{(43,1)}
       46:{1,3}:{(44,1),(45,1),(47,1)}
       47:{2}:{(46,1),(48,1)}
       48:{1}:{(47,1)}

 189 :   0:{4,5,7}:{(2,1),(3,1),(5,1),(19,1),(36,1)}
         1:{4,6,7}:{(3,1),(4,1),(5,1),(19,1),(145,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1)}
         3:{4,6}:{(0,1),(8,1),(9,1)}
         4:{3,6,7}:{(1,1),(8,1),(10,1),(11,1),(142,1)}
         5:{5,7}:{(1,1),(9,1),(146,1)}
         6:{3,4,7}:{(2,1),(12,1),(13,1),(19,1),(44,1)}
         7:{2,5,7}:{(2,1),(12,1),(14,1),(15,1),(35,1)}
         8:{3,6}:{(2,1),(3,1),(15,1)}
         9:{5,6}:{(3,1),(5,1)}
        10:{2,6,7}:{(4,1),(15,1),(17,1),(18,1),(138,1)}
        11:{3,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(44,1)}
        12:{2,4,7}:{(6,1),(7,1),(20,1),(21,1),(22,1)}
        13:{3,4,6}:{(6,1),(8,1),(22,1),(23,1),(27,1),(56,1),(78,1)}
        14:{1,5,7}:{(7,1),(21,1),(24,1),(25,1),(50,1)}
        15:{2,6}:{(7,1),(8,1),(25,1)}
        16:{3,5,6}:{(8,1),(9,1),(11,1),(23,1),(26,1),(27,1),(56,1),(141,1),(142,1),(146,1)}
        17:{1,6,7}:{(10,1),(25,1),(28,1),(29,1),(131,1)}
        18:{2,5,7}:{(10,1),(11,1),(26,1),(29,1),(30,1)}
        19:{4,7}:{(11,1),(27,1)}
        20:{2,3,7}:{(12,1),(31,1),(32,1),(44,1),(75,1)}
        21:{1,4,7}:{(12,1),(14,1),(31,1),(33,1),(34,1)}
        22:{2,4,6}:{(12,1),(13,1),(15,1),(32,1),(34,1),(35,1),(63,1)}
        23:{3,5}:{(13,1),(35,1),(36,1)}
        24:{2,5,7}:{(14,1),(33,1),(37,1),(38,1),(65,1)}
        25:{1,6}:{(14,1),(15,1),(38,1)}
        26:{2,5,6}:{(15,1),(16,1),(18,1),(35,1),(39,1),(40,1),(136,1),(138,1)}
        27:{4,6}:{(16,1),(19,1),(36,1),(144,1)}
        28:{2,6,7}:{(17,1),(38,1),(41,1),(42,1),(123,1)}
        29:{1,5,7}:{(17,1),(18,1),(39,1),(42,1),(43,1)}
        30:{2,4,7}:{(18,1),(19,1),(40,1),(43,1),(44,1),(75,1)}
        31:{1,3,7}:{(20,1),(21,1),(45,1),(46,1),(48,1),(90,1)}
        32:{2,3,6}:{(20,1),(22,1),(46,1),(47,1),(56,1),(85,1)}
        33:{2,4,7}:{(21,1),(24,1),(45,1),(48,1),(49,1),(52,1)}
        34:{1,4,6}:{(21,1),(22,1),(25,1),(46,1),(49,1),(50,1),(77,1)}
        35:{2,5}:{(22,1),(23,1),(50,1)}
        36:{4,5}:{(23,1),(27,1),(146,1)}
        37:{3,5,7}:{(24,1),(48,1),(52,1),(53,1),(79,1),(82,1)}
        38:{2,6}:{(24,1),(25,1),(53,1)}
        39:{1,5,6}:{(25,1),(26,1),(29,1),(50,1),(54,1),(55,1),(129,1),(131,1)}
        40:{2,4,6}:{(26,1),(27,1),(30,1),(51,1),(55,1),(56,1),(85,1)}
        41:{3,6,7}:{(28,1),(53,1),(57,1),(58,1),(112,1)}
        42:{2,5,7}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
        43:{1,4,7}:{(29,1),(30,1),(55,1),(59,1),(60,1),(90,1)}
        44:{3,7}:{(30,1),(56,1)}
        45:{2,7}:{(31,1),(61,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(61,1),(62,1),(64,1),(99,1)}
        47:{2,3,5}:{(32,1),(35,1),(62,1),(63,1),(67,1),(95,1),(116,1)}
        48:{3,7}:{(33,1),(64,1)}
        49:{2,4,6}:{(33,1),(34,1),(38,1),(61,1),(64,1),(65,1),(68,1),(91,1),(93,1)}
        50:{1,5}:{(34,1),(35,1),(65,1)}
        51:{2,4,5}:{(35,1),(36,1),(40,1),(63,1),(66,1),(67,1),(95,1),(135,1),(136,1),(144,1)}
        52:{4,7}:{(37,1),(68,1),(93,1)}
        53:{3,6}:{(37,1),(38,1),(68,1)}
        54:{2,5,6}:{(38,1),(39,1),(42,1),(65,1),(69,1),(70,1),(120,1),(123,1)}
        55:{1,4,6}:{(39,1),(40,1),(43,1),(66,1),(70,1),(71,1),(99,1)}
        56:{3,6}:{(40,1),(44,1),(67,1)}
        57:{4,6,7}:{(41,1),(68,1),(72,1),(73,1),(100,1)}
        58:{3,5,7}:{(41,1),(42,1),(69,1),(72,1),(73,1),(74,1)}
        59:{2,4,7}:{(42,1),(43,1),(70,1),(73,1),(74,1),(75,1)}
        60:{1,3,7}:{(43,1),(44,1),(71,1),(74,1),(75,1)}
        61:{2,6}:{(45,1),(46,1),(76,1)}
        62:{1,3,5}:{(46,1),(47,1),(50,1),(76,1),(77,1),(79,1),(104,1),(108,1),(126,1)}
        63:{2,4}:{(47,1),(77,1),(78,1)}
        64:{3,6}:{(48,1),(49,1),(79,1),(104,1)}
        65:{2,5}:{(49,1),(50,1),(79,1),(82,1)}
        66:{1,4,5}:{(50,1),(51,1),(55,1),(77,1),(80,1),(81,1),(108,1),(127,1),(129,1)}
        67:{3,5}:{(51,1),(56,1),(78,1),(140,1)}
        68:{4,6}:{(52,1),(53,1),(82,1)}
        69:{3,5,6}:{(53,1),(54,1),(58,1),(79,1),(82,1),(83,1),(84,1),(86,1),(109,1),(112,1)}
        70:{2,4,6}:{(54,1),(55,1),(59,1),(80,1),(83,1),(84,1),(85,1)}
        71:{1,3,6}:{(55,1),(56,1),(60,1),(81,1),(84,1),(85,1)}
        72:{5,7}:{(57,1),(82,1),(86,1)}
        73:{4,7}:{(58,1),(83,1)}
        74:{3,7}:{(59,1),(84,1)}
        75:{2,7}:{(60,1),(85,1),(90,1)}
        76:{2,5}:{(61,1),(62,1),(91,1),(134,1)}
        77:{1,4}:{(62,1),(63,1),(91,1),(93,1)}
        78:{3,4}:{(63,1),(67,1),(144,1)}
        79:{3,5}:{(64,1),(65,1),(93,1)}
        80:{2,4,5}:{(65,1),(66,1),(70,1),(91,1),(93,1),(94,1),(95,1),(96,1),(118,1),(120,1)}
        81:{1,3,5}:{(66,1),(67,1),(71,1),(92,1),(94,1),(95,1)}
        82:{5}:{(68,1)}
        83:{4,6}:{(69,1),(73,1),(93,1),(96,1)}
        84:{3,6}:{(70,1),(74,1),(94,1)}
        85:{2,6}:{(71,1),(75,1),(95,1),(99,1)}
        86:{5,6}:{(72,1),(100,1)}
        87:{4,5,7}:{(72,1),(73,1),(96,1),(100,1),(101,1)}
        88:{3,4,7}:{(73,1),(74,1),(97,1),(101,1),(102,1)}
        89:{2,3,7}:{(74,1),(75,1),(98,1),(102,1),(103,1)}
        90:{1,7}:{(75,1),(99,1)}
        91:{2,4}:{(76,1),(77,1),(104,1)}
        92:{1,3,4}:{(77,1),(78,1),(81,1),(104,1),(105,1),(106,1),(126,1),(127,1),(140,1)}
        93:{4}:{(79,1)}
        94:{3,5}:{(80,1),(84,1),(104,1),(106,1)}
        95:{2,5}:{(81,1),(85,1),(105,1),(108,1)}
        96:{4,5}:{(82,1),(83,1),(109,1)}
        97:{3,4,6}:{(83,1),(84,1),(88,1),(106,1),(109,1),(110,1),(112,1)}
        98:{2,3,6}:{(84,1),(85,1),(89,1),(107,1),(110,1),(111,1)}
        99:{1,6}:{(85,1),(90,1),(108,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{3,5,7}:{(87,1),(88,1),(109,1),(112,1),(113,1)}
       102:{2,4,7}:{(88,1),(89,1),(110,1),(113,1),(114,1)}
       103:{1,3,7}:{(89,1),(90,1),(111,1),(114,1),(115,1),(133,1)}
       104:{3}:{(91,1)}
       105:{2,4}:{(92,1),(95,1),(116,1),(117,1),(134,1)}
       106:{3,4}:{(93,1),(94,1),(118,1)}
       107:{2,3,5}:{(94,1),(95,1),(98,1),(116,1),(118,1),(119,1),(120,1)}
       108:{1,5}:{(95,1),(99,1),(117,1)}
       109:{3,5}:{(96,1),(97,1),(120,1)}
       110:{2,4,6}:{(97,1),(98,1),(102,1),(118,1),(120,1),(121,1),(123,1)}
       111:{1,3,6}:{(98,1),(99,1),(103,1),(119,1),(121,1),(122,1),(137,1)}
       112:{3,6}:{(100,1),(101,1),(123,1)}
       113:{2,5,7}:{(101,1),(102,1),(120,1),(123,1),(124,1)}
       114:{1,4,7}:{(102,1),(103,1),(121,1),(124,1),(125,1)}
       115:{2,7}:{(103,1),(122,1)}
       116:{2,3}:{(104,1),(105,1),(126,1),(140,1)}
       117:{1,4}:{(105,1),(108,1),(126,1)}
       118:{2,4}:{(106,1),(107,1),(127,1)}
       119:{1,3,5}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(129,1),(140,1),(141,1)}
       120:{2,5}:{(109,1),(110,1),(129,1)}
       121:{1,4,6}:{(110,1),(111,1),(114,1),(127,1),(129,1),(130,1),(131,1)}
       122:{2,6}:{(111,1),(115,1),(128,1)}
       123:{2,6}:{(112,1),(113,1),(131,1)}
       124:{1,5,7}:{(113,1),(114,1),(129,1),(131,1),(132,1)}
       125:{2,4,7}:{(114,1),(115,1),(130,1),(132,1),(133,1),(143,1)}
       126:{1,3}:{(116,1),(117,1),(134,1)}
       127:{1,4}:{(118,1),(119,1),(135,1),(144,1)}
       128:{2,5}:{(119,1),(122,1),(134,1),(135,1)}
       129:{1,5}:{(120,1),(121,1),(136,1)}
       130:{2,4,6}:{(121,1),(122,1),(125,1),(135,1),(136,1),(137,1),(138,1),(144,1),(145,1)}
       131:{1,6}:{(123,1),(124,1),(138,1)}
       132:{2,5,7}:{(124,1),(125,1),(136,1),(138,1),(139,1)}
       133:{3,7}:{(125,1),(137,1)}
       134:{2}:{(126,1)}
       135:{2,4}:{(127,1),(128,1),(140,1)}
       136:{2,5}:{(129,1),(130,1),(141,1),(146,1)}
       137:{3,6}:{(130,1),(133,1),(140,1),(141,1)}
       138:{2,6}:{(131,1),(132,1),(142,1)}
       139:{3,5,7}:{(132,1),(133,1),(141,1),(142,1),(143,1),(146,1)}
       140:{3}:{(135,1)}
       141:{3,5}:{(136,1),(137,1),(144,1)}
       142:{3,6}:{(138,1),(139,1),(145,1)}
       143:{4,7}:{(139,1),(144,1),(145,1)}
       144:{4}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 190 :   0:{5,6,7}:{(1,1),(148,1)}
         1:{4,6,7}:{(0,1),(2,1),(3,1),(140,1)}
         2:{4,5,7}:{(1,1),(4,1),(5,1)}
         3:{3,6,7}:{(1,1),(5,1),(6,1),(129,1)}
         4:{4,5,6}:{(2,1),(7,1),(137,1),(140,1)}
         5:{3,5,7}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
         6:{2,6,7}:{(3,1),(9,1),(10,1),(116,1)}
         7:{3,5,6}:{(4,1),(5,1),(11,1),(12,1),(125,1),(129,1)}
         8:{3,4,7}:{(5,1),(11,1),(13,1)}
         9:{2,5,7}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
        10:{1,6,7}:{(6,1),(14,1),(15,1),(102,1)}
        11:{3,4,6}:{(7,1),(8,1),(16,1),(17,1)}
        12:{2,5,6}:{(7,1),(9,1),(17,1),(18,1),(112,1),(116,1)}
        13:{2,4,7}:{(8,1),(9,1),(17,1),(19,1),(20,1)}
        14:{1,5,7}:{(9,1),(10,1),(18,1),(20,1),(21,1)}
        15:{2,6,7}:{(10,1),(21,1),(22,1),(88,1)}
        16:{3,4,5}:{(11,1),(23,1),(121,1),(125,1)}
        17:{2,4,6}:{(11,1),(12,1),(13,1),(23,1),(24,1),(25,1)}
        18:{1,5,6}:{(12,1),(14,1),(25,1),(26,1),(97,1),(102,1)}
        19:{2,3,7}:{(13,1),(24,1),(27,1)}
        20:{1,4,7}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{2,5,7}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
        22:{3,6,7}:{(15,1),(29,1),(30,1),(74,1)}
        23:{2,4,5}:{(16,1),(17,1),(31,1),(32,1),(107,1),(112,1)}
        24:{2,3,6}:{(17,1),(19,1),(31,1),(33,1)}
        25:{1,4,6}:{(17,1),(18,1),(20,1),(32,1),(33,1),(34,1)}
        26:{2,5,6}:{(18,1),(21,1),(34,1),(35,1),(83,1),(88,1)}
        27:{1,3,7}:{(19,1),(20,1),(33,1),(36,1),(37,1)}
        28:{2,4,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(38,1)}
        29:{3,5,7}:{(21,1),(22,1),(35,1),(37,1),(38,1),(39,1)}
        30:{4,6,7}:{(22,1),(38,1),(39,1),(61,1)}
        31:{2,3,5}:{(23,1),(24,1),(40,1),(41,1)}
        32:{1,4,5}:{(23,1),(25,1),(41,1),(42,1),(93,1),(97,1)}
        33:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1)}
        34:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(43,1),(44,1),(45,1)}
        35:{3,5,6}:{(26,1),(29,1),(44,1),(45,1),(50,1),(69,1),(74,1)}
        36:{2,7}:{(27,1),(43,1)}
        37:{3,7}:{(28,1),(44,1)}
        38:{4,7}:{(29,1),(45,1)}
        39:{5,7}:{(30,1),(50,1)}
        40:{2,3,4}:{(31,1),(51,1),(104,1),(107,1)}
        41:{1,3,5}:{(31,1),(32,1),(33,1),(51,1),(52,1),(53,1)}
        42:{2,4,5}:{(32,1),(34,1),(52,1),(53,1),(57,1),(79,1),(83,1)}
        43:{2,6}:{(33,1),(36,1),(52,1)}
        44:{3,6}:{(34,1),(37,1),(53,1)}
        45:{4,6}:{(35,1),(38,1),(57,1)}
        46:{1,2,7}:{(36,1),(54,1),(58,1),(150,1)}
        47:{2,3,7}:{(36,1),(37,1),(55,1),(58,1),(59,1)}
        48:{3,4,7}:{(37,1),(38,1),(56,1),(59,1),(60,1)}
        49:{4,5,7}:{(38,1),(39,1),(57,1),(60,1),(61,1)}
        50:{5,6}:{(39,1),(61,1)}
        51:{1,3,4}:{(40,1),(41,1),(63,1),(66,1),(90,1),(93,1)}
        52:{2,5}:{(41,1),(43,1),(63,1)}
        53:{3,5}:{(42,1),(44,1),(66,1)}
        54:{1,2,6}:{(43,1),(46,1),(64,1),(67,1),(142,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(65,1),(67,1),(68,1)}
        56:{3,4,6}:{(44,1),(45,1),(48,1),(66,1),(68,1),(69,1),(74,1)}
        57:{4,5}:{(45,1),(69,1)}
        58:{1,3,7}:{(46,1),(47,1),(67,1),(71,1),(72,1)}
        59:{2,4,7}:{(47,1),(48,1),(68,1),(72,1),(73,1)}
        60:{3,5,7}:{(48,1),(49,1),(69,1),(73,1),(74,1)}
        61:{4,6}:{(49,1),(50,1),(74,1)}
        62:{5,6,7}:{(50,1),(75,1)}
        63:{2,4}:{(51,1),(52,1),(77,1)}
        64:{1,2,5}:{(52,1),(54,1),(76,1),(78,1),(131,1)}
        65:{2,3,5}:{(52,1),(53,1),(55,1),(77,1),(78,1),(79,1),(83,1)}
        66:{3,4}:{(53,1),(79,1)}
        67:{1,3,6}:{(54,1),(55,1),(58,1),(78,1),(81,1),(82,1)}
        68:{2,4,6}:{(55,1),(56,1),(59,1),(79,1),(82,1),(83,1),(88,1)}
        69:{3,5}:{(56,1),(57,1),(83,1)}
        70:{4,5,6}:{(57,1),(61,1),(84,1),(85,1)}
        71:{2,3,7}:{(58,1),(81,1),(86,1),(150,1),(151,1)}
        72:{1,4,7}:{(58,1),(59,1),(82,1),(86,1),(87,1)}
        73:{2,5,7}:{(59,1),(60,1),(83,1),(87,1),(88,1)}
        74:{3,6}:{(60,1),(61,1),(88,1)}
        75:{4,6,7}:{(61,1),(62,1),(85,1),(89,1)}
        76:{1,2,4}:{(63,1),(64,1),(90,1),(93,1),(118,1)}
        77:{2,3}:{(63,1),(90,1)}
        78:{1,3,5}:{(64,1),(65,1),(67,1),(90,1),(92,1),(93,1),(97,1)}
        79:{2,4}:{(65,1),(66,1),(93,1)}
        80:{3,4,5}:{(66,1),(69,1),(94,1),(95,1)}
        81:{2,3,6}:{(67,1),(71,1),(92,1),(96,1),(142,1),(144,1)}
        82:{1,4,6}:{(67,1),(68,1),(72,1),(93,1),(96,1),(97,1),(102,1)}
        83:{2,5}:{(68,1),(69,1),(97,1)}
        84:{3,5,6}:{(69,1),(70,1),(74,1),(95,1),(98,1),(99,1)}
        85:{4,5,7}:{(70,1),(75,1),(99,1)}
        86:{2,4,7}:{(71,1),(72,1),(96,1),(100,1),(101,1)}
        87:{1,5,7}:{(72,1),(73,1),(97,1),(101,1),(102,1)}
        88:{2,6}:{(73,1),(74,1),(102,1)}
        89:{3,6,7}:{(74,1),(75,1),(99,1),(103,1)}
        90:{1,3}:{(76,1),(77,1),(104,1)}
        91:{2,3,4}:{(77,1),(79,1),(105,1),(106,1)}
        92:{2,3,5}:{(78,1),(81,1),(104,1),(107,1),(112,1),(131,1),(134,1)}
        93:{1,4}:{(78,1),(79,1),(107,1)}
        94:{2,4,5}:{(79,1),(80,1),(83,1),(106,1),(108,1),(109,1)}
        95:{3,4,6}:{(80,1),(84,1),(109,1),(110,1)}
        96:{2,4,6}:{(81,1),(82,1),(86,1),(107,1),(111,1),(112,1),(116,1)}
        97:{1,5}:{(82,1),(83,1),(112,1)}
        98:{2,5,6}:{(83,1),(84,1),(88,1),(109,1),(113,1),(114,1)}
        99:{3,5,7}:{(84,1),(85,1),(89,1),(110,1),(114,1)}
       100:{3,4,7}:{(86,1),(111,1),(115,1),(151,1),(152,1)}
       101:{2,5,7}:{(86,1),(87,1),(112,1),(115,1),(116,1)}
       102:{1,6}:{(87,1),(88,1),(116,1)}
       103:{2,6,7}:{(88,1),(89,1),(114,1),(117,1)}
       104:{2,3}:{(90,1),(118,1)}
       105:{1,3,4}:{(90,1),(91,1),(93,1),(118,1),(119,1),(121,1)}
       106:{2,3,5}:{(91,1),(94,1),(119,1),(120,1)}
       107:{2,4}:{(92,1),(93,1),(121,1)}
       108:{1,4,5}:{(93,1),(94,1),(97,1),(119,1),(122,1),(123,1)}
       109:{2,4,6}:{(94,1),(95,1),(98,1),(120,1),(123,1),(124,1)}
       110:{3,4,7}:{(95,1),(99,1),(124,1)}
       111:{3,4,6}:{(96,1),(100,1),(121,1),(125,1),(129,1),(144,1),(146,1)}
       112:{2,5}:{(96,1),(97,1),(125,1)}
       113:{1,5,6}:{(97,1),(98,1),(102,1),(123,1),(126,1),(127,1)}
       114:{2,5,7}:{(98,1),(99,1),(103,1),(124,1),(127,1)}
       115:{3,5,7}:{(100,1),(101,1),(125,1),(128,1),(129,1)}
       116:{2,6}:{(101,1),(102,1),(129,1)}
       117:{1,6,7}:{(102,1),(103,1),(127,1),(130,1)}
       118:{2,4}:{(104,1),(105,1),(131,1)}
       119:{1,3,5}:{(105,1),(106,1),(108,1),(131,1),(132,1),(134,1)}
       120:{2,3,6}:{(106,1),(109,1),(132,1),(133,1)}
       121:{3,4}:{(107,1),(134,1)}
       122:{2,4,5}:{(107,1),(108,1),(112,1),(131,1),(134,1),(135,1),(137,1)}
       123:{1,4,6}:{(108,1),(109,1),(113,1),(132,1),(135,1),(136,1)}
       124:{2,4,7}:{(109,1),(110,1),(114,1),(133,1),(136,1)}
       125:{3,5}:{(111,1),(112,1),(137,1)}
       126:{2,5,6}:{(112,1),(113,1),(116,1),(135,1),(138,1),(139,1)}
       127:{1,5,7}:{(113,1),(114,1),(117,1),(136,1),(139,1)}
       128:{4,5,7}:{(115,1),(137,1),(140,1),(152,1),(153,1)}
       129:{3,6}:{(115,1),(116,1),(140,1)}
       130:{2,6,7}:{(116,1),(117,1),(139,1),(141,1)}
       131:{2,5}:{(118,1),(119,1),(142,1)}
       132:{1,3,6}:{(119,1),(120,1),(123,1),(142,1),(143,1),(144,1)}
       133:{2,3,7}:{(120,1),(124,1),(143,1)}
       134:{3,5}:{(121,1),(122,1),(144,1)}
       135:{2,4,6}:{(122,1),(123,1),(126,1),(142,1),(144,1),(145,1),(146,1)}
       136:{1,4,7}:{(123,1),(124,1),(127,1),(143,1),(145,1)}
       137:{4,5}:{(125,1),(146,1)}
       138:{3,5,6}:{(125,1),(126,1),(129,1),(144,1),(146,1),(147,1),(148,1)}
       139:{2,5,7}:{(126,1),(127,1),(130,1),(145,1),(147,1)}
       140:{4,6}:{(128,1),(129,1),(148,1)}
       141:{3,6,7}:{(129,1),(130,1),(147,1),(149,1)}
       142:{2,6}:{(131,1),(132,1),(150,1)}
       143:{1,3,7}:{(132,1),(133,1),(136,1),(150,1),(151,1)}
       144:{3,6}:{(134,1),(135,1),(151,1)}
       145:{2,4,7}:{(135,1),(136,1),(139,1),(150,1),(151,1),(152,1)}
       146:{4,6}:{(137,1),(138,1),(152,1)}
       147:{3,5,7}:{(138,1),(139,1),(141,1),(151,1),(152,1),(153,1)}
       148:{5,6}:{(140,1),(153,1)}
       149:{4,6,7}:{(140,1),(141,1),(152,1),(153,1)}
       150:{2,7}:{(142,1),(143,1)}
       151:{3,7}:{(144,1),(145,1)}
       152:{4,7}:{(146,1),(147,1)}
       153:{5,7}:{(148,1),(149,1)}

 191 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(31,1),(39,1),(41,1),(78,1),(90,1),(181,1),(185,1),(283,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(131,1),(237,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(53,1),(116,1),(214,1)}
         3:{1,3,4}:{(1,1),(9,1),(283,1),(287,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(78,1),(91,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(266,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(84,1),(104,1),(163,1),(181,1),(286,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(85,1),(164,1),(267,1)}
         8:{1,3,4,5}:{(3,1),(16,1),(17,1),(21,1),(50,1),(121,1),(136,1),(138,1),(221,1),(237,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(116,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(231,1),(248,1),(253,1),(331,1),(343,1),(392,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(317,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(126,1),(215,1),(344,1)}
        16:{2,4,5}:{(8,1),(9,1),(30,1),(31,1),(32,1),(39,1),(78,1),(161,1),(262,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(79,1),(165,1),(167,1),(266,1)}
        18:{2,3,4}:{(9,1),(30,1),(35,1),(91,1),(161,1),(287,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(78,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(163,1),(183,1),(196,1),(199,1),(200,1),(201,1),(266,1),(289,1),(300,1),(371,1),(373,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(164,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(283,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(176,1),(268,1),(286,1)}
        30:{2,3,5}:{(16,1),(18,1),(50,1),(51,1),(237,1)}
        31:{1,4,5}:{(16,1),(19,1),(50,1),(53,1),(64,1),(207,1),(304,1)}
        32:{2,4,6}:{(16,1),(17,1),(51,1),(53,1),(54,1),(55,1),(116,1)}
        33:{1,3,5,6}:{(17,1),(21,1),(54,1),(56,1),(57,1),(69,1),(127,1),(221,1),(324,1)}
        34:{1,3,4,7}:{(17,1),(55,1),(57,1),(118,1),(217,1),(219,1),(317,1)}
        35:{1,3,4}:{(18,1),(19,1),(50,1),(58,1),(62,1),(131,1),(207,1)}
        36:{2,3,4,6}:{(18,1),(20,1),(51,1),(59,1),(60,1),(61,1),(74,1),(119,1),(133,1),(140,1),(154,1),(211,1),(235,1),(313,1),(316,1),(333,1),(335,1),(378,1)}
        37:{1,2,4}:{(19,1),(23,1),(58,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(392,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(116,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(235,1),(396,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(215,1),(249,1),(254,1),(317,1),(389,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(331,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(35,1),(78,1),(79,1)}
        51:{2,3,6}:{(30,1),(32,1),(79,1),(81,1),(266,1)}
        52:{1,2,4,5}:{(31,1),(37,1),(78,1),(82,1),(83,1),(98,1),(161,1),(185,1),(192,1),(262,1),(274,1)}
        53:{1,4,6}:{(31,1),(32,1),(79,1),(84,1),(85,1)}
        54:{2,5,6}:{(32,1),(33,1),(39,1),(84,1),(87,1),(104,1),(262,1),(354,1)}
        55:{2,4,7}:{(32,1),(34,1),(81,1),(85,1),(87,1),(164,1)}
        56:{1,4,5,6}:{(33,1),(41,1),(86,1),(88,1),(105,1),(165,1),(274,1),(278,1),(294,1),(363,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(87,1),(88,1),(89,1),(177,1)}
        58:{2,4}:{(35,1),(78,1),(91,1)}
        59:{1,3,4,6}:{(35,1),(36,1),(38,1),(79,1),(92,1),(93,1),(94,1),(97,1),(165,1),(180,1),(189,1),(192,1),(203,1),(257,1),(266,1),(283,1),(287,1),(297,1),(357,1),(367,1),(369,1),(370,1),(401,1)}
        60:{2,3,5}:{(36,1),(39,1),(93,1),(95,1),(102,1),(196,1),(262,1),(352,1),(371,1),(398,1)}
        61:{2,3,4,7}:{(36,1),(40,1),(81,1),(94,1),(96,1),(111,1),(168,1),(184,1),(204,1),(263,1),(288,1),(355,1),(358,1),(402,1)}
        62:{1,3}:{(37,1),(91,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(92,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(411,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(371,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(163,1),(195,1),(196,1),(278,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(164,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(266,1),(287,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(410,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(268,1),(289,1),(300,1),(359,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(367,1)}
        78:{2,5}:{(50,1),(58,1),(116,1)}
        79:{1,3,6}:{(50,1),(51,1),(53,1),(116,1),(118,1)}
        80:{2,3,5,6}:{(51,1),(54,1),(60,1),(117,1),(119,1),(120,1),(127,1),(140,1),(226,1),(243,1),(316,1)}
        81:{2,3,7}:{(51,1),(55,1),(118,1),(317,1)}
        82:{1,3,5}:{(52,1),(62,1),(115,1),(121,1),(122,1),(237,1)}
        83:{1,2,4,6}:{(52,1),(53,1),(116,1),(122,1),(123,1),(124,1),(211,1),(214,1),(223,1)}
        84:{1,5,6}:{(53,1),(54,1),(64,1),(126,1),(147,1),(304,1),(377,1)}
        85:{1,4,7}:{(53,1),(55,1),(118,1),(126,1)}
        86:{2,4,5,6}:{(54,1),(56,1),(66,1),(119,1),(125,1),(127,1),(128,1),(149,1),(214,1),(226,1),(243,1),(311,1),(338,1),(339,1),(384,1),(396,1)}
        87:{2,5,7}:{(54,1),(55,1),(57,1),(126,1),(129,1)}
        88:{1,4,5,7}:{(56,1),(57,1),(128,1),(130,1),(217,1),(321,1),(326,1)}
        89:{1,3,6,7}:{(57,1),(69,1),(129,1),(130,1),(229,1),(324,1)}
        90:{1,2,4}:{(58,1),(114,1),(131,1),(207,1)}
        91:{2,3}:{(58,1),(62,1),(131,1)}
        92:{2,4,6}:{(58,1),(59,1),(116,1),(133,1),(134,1),(135,1),(235,1),(239,1),(387,1),(394,1)}
        93:{1,3,5}:{(59,1),(60,1),(64,1),(134,1),(136,1),(237,1),(248,1),(304,1),(341,1),(392,1),(395,1),(414,1)}
        94:{1,3,4,7}:{(59,1),(61,1),(65,1),(118,1),(135,1),(137,1),(142,1),(217,1),(232,1),(245,1),(255,1),(305,1),(317,1),(330,1),(334,1),(388,1),(418,1)}
        95:{2,4,5}:{(60,1),(119,1),(136,1),(138,1),(235,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(67,1),(137,1),(139,1),(140,1),(148,1),(249,1),(312,1),(383,1),(415,1)}
        97:{1,3,6}:{(62,1),(63,1),(133,1),(141,1),(142,1),(422,1)}
        98:{1,2,5}:{(63,1),(64,1),(134,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(135,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(214,1),(319,1),(387,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(215,1),(249,1),(326,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(317,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(335,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(392,1)}
       114:{1,2,5}:{(78,1),(90,1),(159,1),(160,1)}
       115:{2,3,5}:{(78,1),(82,1),(91,1),(159,1),(161,1),(162,1),(262,1)}
       116:{2,6}:{(78,1),(79,1),(164,1)}
       117:{1,3,5,6}:{(79,1),(80,1),(84,1),(93,1),(163,1),(165,1),(166,1),(189,1),(266,1),(278,1),(294,1),(357,1),(373,1)}
       118:{1,3,7}:{(79,1),(81,1),(85,1),(164,1)}
       119:{2,4,6}:{(80,1),(95,1),(165,1),(167,1),(168,1)}
       120:{2,3,5,7}:{(80,1),(81,1),(87,1),(166,1),(168,1),(169,1),(177,1),(273,1),(279,1),(358,1)}
       121:{1,3,4}:{(82,1),(161,1),(192,1),(287,1)}
       122:{1,3,6}:{(82,1),(83,1),(162,1),(172,1),(266,1)}
       123:{1,2,5,6}:{(83,1),(84,1),(98,1),(163,1),(171,1),(173,1),(195,1),(262,1),(354,1),(404,1)}
       124:{1,2,4,7}:{(83,1),(85,1),(164,1),(172,1),(173,1),(263,1),(267,1),(276,1)}
       125:{1,4,5,6}:{(84,1),(86,1),(100,1),(165,1),(174,1),(175,1),(198,1),(294,1),(345,1),(400,1)}
       126:{1,5,7}:{(84,1),(85,1),(87,1),(176,1)}
       127:{3,5,6}:{(86,1),(102,1),(167,1),(177,1),(199,1),(266,1),(352,1),(406,1)}
       128:{2,4,5,7}:{(86,1),(87,1),(88,1),(168,1),(175,1),(177,1),(178,1),(267,1),(273,1),(279,1),(360,1),(362,1),(410,1)}
       129:{2,6,7}:{(87,1),(89,1),(104,1),(176,1),(354,1)}
       130:{1,4,6,7}:{(88,1),(89,1),(105,1),(178,1),(179,1),(363,1),(365,1)}
       131:{1,3}:{(90,1),(91,1)}
       132:{1,2,4,6}:{(90,1),(92,1),(160,1),(180,1),(181,1),(182,1),(203,1),(257,1),(283,1),(286,1),(302,1),(367,1),(374,1)}
       133:{2,3,6}:{(91,1),(92,1),(97,1),(180,1),(183,1),(184,1),(266,1),(412,1)}
       134:{2,5}:{(92,1),(93,1)}
       135:{2,4,7}:{(92,1),(94,1),(164,1),(184,1),(186,1),(409,1)}
       136:{1,4,5}:{(93,1),(95,1),(165,1),(185,1),(192,1),(283,1),(413,1)}
       137:{1,3,5,7}:{(93,1),(94,1),(96,1),(101,1),(186,1),(188,1),(189,1),(291,1),(299,1),(346,1),(423,1)}
       138:{3,4,5}:{(95,1),(102,1),(167,1),(287,1),(352,1),(413,1)}
       139:{2,4,5,7}:{(95,1),(96,1),(168,1),(188,1),(190,1),(191,1),(273,1),(288,1),(371,1)}
       140:{2,3,6}:{(96,1),(104,1),(189,1),(191,1),(199,1),(300,1),(354,1),(406,1),(424,1)}
       141:{1,3,5}:{(97,1),(98,1),(183,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(184,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(185,1),(192,1),(194,1),(196,1),(293,1),(296,1),(372,1),(411,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(186,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(266,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(267,1),(361,1),(409,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(268,1),(300,1),(365,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(359,1),(370,1),(410,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(371,1)}
       159:{1,3,5}:{(114,1),(115,1),(131,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(116,1),(208,1),(210,1)}
       161:{2,4}:{(115,1),(121,1),(207,1)}
       162:{2,3,6}:{(115,1),(116,1),(122,1),(208,1),(211,1),(213,1)}
       163:{2,5,6}:{(116,1),(117,1),(134,1),(214,1),(215,1),(239,1),(387,1)}
       164:{2,7}:{(116,1),(118,1)}
       165:{1,4,6}:{(117,1),(119,1),(136,1),(214,1),(217,1),(396,1)}
       166:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(215,1),(217,1),(218,1),(317,1),(321,1),(326,1),(388,1),(389,1)}
       167:{3,4,6}:{(119,1),(127,1),(138,1),(219,1),(396,1)}
       168:{2,4,7}:{(119,1),(120,1),(217,1),(219,1)}
       169:{2,3,6,7}:{(120,1),(129,1),(140,1),(218,1),(220,1),(229,1),(327,1)}
       170:{1,3,4,6}:{(121,1),(122,1),(211,1),(221,1),(222,1),(223,1),(313,1),(324,1)}
       171:{1,3,5,6}:{(122,1),(123,1),(141,1),(212,1),(221,1),(223,1),(224,1),(246,1),(324,1),(341,1),(381,1),(390,1),(414,1),(426,1)}
       172:{1,3,7}:{(122,1),(124,1),(213,1),(317,1)}
       173:{1,2,5,7}:{(123,1),(124,1),(126,1),(215,1),(224,1),(225,1),(312,1),(419,1)}
       174:{1,3,5,6}:{(125,1),(127,1),(145,1),(216,1),(226,1),(227,1),(250,1),(375,1),(416,1)}
       175:{1,4,5,7}:{(125,1),(126,1),(128,1),(217,1),(227,1),(228,1),(321,1)}
       176:{1,6,7}:{(126,1),(129,1),(147,1),(377,1)}
       177:{3,5,7}:{(127,1),(128,1),(219,1),(229,1),(317,1)}
       178:{2,4,6,7}:{(128,1),(129,1),(130,1),(149,1),(228,1),(229,1),(230,1),(327,1),(328,1),(384,1)}
       179:{1,5,6,7}:{(130,1),(150,1),(230,1),(321,1),(390,1)}
       180:{1,3,6}:{(131,1),(132,1),(133,1),(231,1),(232,1),(397,1)}
       181:{1,2,5}:{(132,1),(134,1),(231,1),(248,1),(304,1),(392,1)}
       182:{1,2,4,7}:{(132,1),(135,1),(210,1),(232,1),(234,1),(255,1),(305,1),(330,1),(344,1)}
       183:{2,3,5}:{(133,1),(134,1),(141,1),(231,1),(235,1),(237,1)}
       184:{2,3,7}:{(133,1),(135,1),(142,1),(232,1),(317,1)}
       185:{2,4,5}:{(134,1),(136,1),(214,1),(235,1),(237,1)}
       186:{2,5,7}:{(134,1),(135,1),(137,1),(239,1)}
       187:{1,3,4,5}:{(136,1),(138,1),(145,1),(216,1),(237,1),(240,1),(244,1),(329,1),(336,1),(375,1)}
       188:{1,4,5,7}:{(136,1),(137,1),(139,1),(217,1),(238,1),(241,1),(245,1),(321,1),(330,1),(341,1),(392,1)}
       189:{1,3,6}:{(137,1),(140,1),(147,1),(239,1),(241,1),(337,1),(343,1),(377,1),(426,1)}
       190:{3,4,5,7}:{(138,1),(139,1),(148,1),(219,1),(242,1),(256,1),(322,1),(334,1),(383,1),(395,1),(421,1)}
       191:{2,4,6}:{(139,1),(140,1),(241,1),(242,1),(243,1)}
       192:{1,4}:{(141,1),(235,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(236,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(237,1),(244,1),(247,1),(422,1)}
       195:{1,2,6}:{(144,1),(147,1),(239,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(387,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(317,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(395,1)}
       207:{1,4}:{(159,1),(161,1)}
       208:{1,3,6}:{(159,1),(160,1),(162,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(163,1),(181,1),(258,1),(260,1),(261,1),(278,1),(286,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(164,1),(259,1)}
       211:{2,4,6}:{(161,1),(162,1),(170,1),(257,1),(262,1),(263,1),(354,1)}
       212:{2,3,5,6}:{(162,1),(163,1),(171,1),(183,1),(258,1),(262,1),(264,1),(265,1),(266,1),(289,1),(350,1),(352,1),(354,1),(371,1),(373,1),(398,1),(406,1),(407,1),(424,1)}
       213:{2,3,7}:{(162,1),(164,1),(172,1),(259,1),(263,1)}
       214:{2,4,6}:{(163,1),(165,1),(185,1),(266,1),(267,1)}
       215:{2,5,7}:{(163,1),(164,1),(166,1),(267,1),(268,1),(409,1)}
       216:{1,3,4,6}:{(165,1),(167,1),(174,1),(187,1),(266,1),(269,1),(270,1),(357,1)}
       217:{1,4,7}:{(165,1),(166,1),(168,1),(267,1),(410,1)}
       218:{1,3,6,7}:{(166,1),(169,1),(176,1),(189,1),(268,1),(271,1),(359,1),(365,1)}
       219:{3,4,7}:{(167,1),(168,1),(177,1),(410,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(191,1),(271,1),(272,1),(273,1)}
       221:{1,3,5}:{(170,1),(262,1),(274,1),(352,1)}
       222:{1,3,4,7}:{(170,1),(172,1),(263,1),(275,1),(276,1),(355,1)}
       223:{1,4,6}:{(171,1),(192,1),(264,1),(274,1),(276,1)}
       224:{1,3,5,7}:{(171,1),(172,1),(173,1),(265,1),(276,1),(277,1),(364,1),(405,1),(423,1)}
       225:{1,2,6,7}:{(173,1),(176,1),(195,1),(268,1),(277,1),(354,1)}
       226:{2,5,6}:{(174,1),(196,1),(269,1),(278,1),(279,1),(300,1),(398,1),(424,1)}
       227:{1,3,5,7}:{(174,1),(175,1),(177,1),(270,1),(279,1),(280,1)}
       228:{1,4,6,7}:{(175,1),(176,1),(178,1),(198,1),(280,1),(281,1),(400,1)}
       229:{3,6,7}:{(177,1),(178,1),(199,1),(406,1)}
       230:{2,5,6,7}:{(178,1),(179,1),(200,1),(273,1),(281,1),(282,1),(360,1),(407,1)}
       231:{1,3,5}:{(180,1),(181,1),(183,1),(283,1)}
       232:{1,3,7}:{(180,1),(182,1),(184,1)}
       233:{1,2,4,5}:{(181,1),(185,1),(260,1),(283,1),(285,1),(293,1),(345,1),(366,1),(372,1),(374,1),(398,1)}
       234:{1,2,5,7}:{(181,1),(182,1),(186,1),(284,1),(286,1),(299,1),(346,1)}
       235:{2,4}:{(183,1),(192,1),(283,1),(287,1)}
       236:{2,3,5,7}:{(183,1),(184,1),(186,1),(193,1),(284,1),(288,1),(289,1),(291,1),(371,1)}
       237:{3,5}:{(185,1),(266,1),(287,1)}
       238:{2,4,5,7}:{(185,1),(186,1),(188,1),(267,1),(288,1),(291,1),(292,1),(360,1),(371,1),(410,1),(413,1)}
       239:{2,6}:{(186,1),(189,1)}
       240:{2,4,5}:{(187,1),(196,1),(269,1),(290,1),(293,1),(296,1),(366,1),(372,1),(398,1)}
       241:{1,4,6}:{(188,1),(189,1),(191,1),(292,1),(294,1)}
       242:{3,4,6}:{(190,1),(191,1),(199,1),(295,1),(301,1),(406,1),(425,1)}
       243:{2,5,6}:{(191,1),(273,1),(294,1),(295,1),(371,1)}
       244:{1,3,4}:{(192,1),(194,1),(287,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(288,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(289,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(372,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(409,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(410,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(211,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(212,1),(231,1),(304,1),(306,1),(307,1),(308,1),(331,1),(375,1),(377,1),(392,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(213,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(214,1),(233,1),(306,1),(308,1),(309,1),(319,1),(378,1),(387,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(215,1),(307,1),(309,1),(310,1),(326,1),(415,1)}
       262:{2,5}:{(211,1),(221,1),(304,1)}
       263:{2,4,7}:{(211,1),(213,1),(222,1),(305,1),(312,1)}
       264:{2,4,6}:{(212,1),(223,1),(235,1),(306,1),(311,1),(313,1),(314,1),(396,1)}
       265:{2,3,5,7}:{(212,1),(213,1),(215,1),(224,1),(307,1),(312,1),(314,1),(315,1),(317,1),(382,1),(383,1),(386,1),(389,1),(415,1)}
       266:{3,6}:{(214,1),(237,1),(317,1)}
       267:{2,4,7}:{(214,1),(215,1),(217,1),(317,1)}
       268:{2,6,7}:{(215,1),(218,1),(239,1)}
       269:{2,4,6}:{(216,1),(226,1),(240,1),(316,1),(319,1),(320,1),(387,1)}
       270:{1,3,4,7}:{(216,1),(217,1),(219,1),(227,1),(317,1),(320,1),(388,1)}
       271:{1,4,6,7}:{(217,1),(218,1),(220,1),(241,1),(318,1),(321,1)}
       272:{3,4,6,7}:{(219,1),(220,1),(229,1),(242,1),(322,1),(328,1)}
       273:{2,5,7}:{(220,1),(243,1),(321,1),(322,1)}
       274:{1,4,5}:{(221,1),(223,1),(311,1),(341,1),(414,1)}
       275:{1,3,5,7}:{(221,1),(222,1),(312,1),(323,1),(324,1),(383,1)}
       276:{1,4,7}:{(223,1),(224,1),(314,1)}
       277:{1,3,6,7}:{(224,1),(225,1),(246,1),(315,1),(324,1),(325,1),(426,1)}
       278:{1,5,6}:{(226,1),(248,1),(319,1),(326,1),(343,1),(414,1),(426,1)}
       279:{2,5,7}:{(226,1),(227,1),(320,1),(326,1),(327,1)}
       280:{1,3,6,7}:{(227,1),(228,1),(229,1),(250,1),(327,1),(416,1)}
       281:{1,5,6,7}:{(228,1),(230,1),(251,1),(321,1),(417,1)}
       282:{3,5,6,7}:{(229,1),(230,1),(252,1),(322,1),(328,1),(389,1),(420,1)}
       283:{1,4}:{(231,1),(235,1)}
       284:{1,3,5,7}:{(231,1),(232,1),(234,1),(236,1),(330,1),(331,1),(392,1)}
       285:{1,3,5}:{(233,1),(237,1),(308,1),(329,1),(332,1),(397,1)}
       286:{1,2,6}:{(234,1),(239,1),(331,1),(343,1),(377,1)}
       287:{3,4}:{(235,1),(237,1)}
       288:{2,4,7}:{(235,1),(236,1),(245,1),(330,1),(334,1),(335,1)}
       289:{2,3,6}:{(236,1),(239,1),(246,1),(331,1),(335,1),(337,1)}
       290:{2,3,5}:{(237,1),(240,1),(316,1),(333,1),(336,1)}
       291:{3,5,7}:{(237,1),(238,1),(317,1),(334,1),(337,1),(395,1)}
       292:{2,4,6}:{(238,1),(239,1),(241,1),(337,1),(338,1),(396,1)}
       293:{1,4,5}:{(240,1),(248,1),(319,1),(336,1),(340,1),(391,1),(414,1)}
       294:{1,5,6}:{(241,1),(243,1),(321,1),(338,1),(341,1),(392,1)}
       295:{3,5,6}:{(242,1),(243,1),(322,1),(339,1),(395,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(335,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(387,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(262,1)}
       305:{1,4,7}:{(257,1),(259,1),(263,1),(346,1)}
       306:{1,4,6}:{(258,1),(264,1),(283,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(265,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(266,1),(285,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(267,1),(348,1),(351,1),(361,1),(402,1),(409,1)}
       310:{1,2,6,7}:{(261,1),(268,1),(286,1),(349,1),(365,1),(424,1)}
       311:{2,4,5}:{(262,1),(264,1),(274,1),(345,1),(352,1),(371,1),(398,1),(413,1)}
       312:{2,5,7}:{(262,1),(263,1),(275,1),(346,1),(354,1)}
       313:{3,4,6}:{(264,1),(266,1),(287,1),(352,1),(355,1),(406,1)}
       314:{2,4,7}:{(264,1),(265,1),(276,1),(348,1),(355,1),(410,1)}
       315:{2,3,6,7}:{(265,1),(268,1),(277,1),(289,1),(349,1),(354,1),(356,1),(359,1),(406,1),(424,1)}
       316:{2,3,6}:{(266,1),(269,1),(290,1),(357,1),(358,1)}
       317:{3,7}:{(266,1),(267,1)}
       318:{2,4,6,7}:{(267,1),(268,1),(271,1),(292,1),(359,1),(360,1),(410,1)}
       319:{1,4,6}:{(269,1),(278,1),(293,1),(357,1),(361,1)}
       320:{2,4,7}:{(269,1),(270,1),(279,1),(358,1),(361,1),(409,1)}
       321:{1,5,7}:{(271,1),(273,1),(294,1),(360,1)}
       322:{3,5,7}:{(272,1),(273,1),(295,1),(362,1)}
       323:{1,4,5,7}:{(274,1),(275,1),(276,1),(353,1),(363,1),(364,1),(423,1)}
       324:{1,3,6}:{(275,1),(354,1),(363,1),(406,1)}
       325:{1,4,6,7}:{(276,1),(277,1),(297,1),(356,1),(363,1),(364,1)}
       326:{1,5,7}:{(278,1),(279,1),(361,1),(365,1)}
       327:{2,6,7}:{(279,1),(280,1),(300,1),(365,1),(424,1)}
       328:{4,6,7}:{(282,1),(301,1),(362,1),(410,1),(425,1)}
       329:{1,3,4}:{(283,1),(285,1),(287,1),(366,1)}
       330:{1,4,7}:{(283,1),(284,1),(288,1),(367,1)}
       331:{1,3,6}:{(284,1),(286,1),(289,1),(367,1)}
       332:{2,3,5}:{(285,1),(350,1),(366,1),(368,1),(372,1),(398,1),(412,1)}
       333:{2,3,4}:{(287,1),(290,1),(296,1),(366,1),(369,1),(412,1)}
       334:{3,4,7}:{(287,1),(288,1),(291,1),(370,1),(410,1)}
       335:{2,4,6}:{(288,1),(289,1),(297,1),(367,1),(370,1),(371,1)}
       336:{1,3,5}:{(290,1),(293,1),(357,1),(369,1),(372,1)}
       337:{3,6}:{(291,1),(292,1)}
       338:{2,5,6}:{(292,1),(294,1),(360,1),(371,1),(373,1)}
       339:{4,5,6}:{(295,1),(301,1),(362,1),(413,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(371,1)}
       342:{1,2,5}:{(298,1),(302,1),(372,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(409,1)}
       345:{1,4,5}:{(304,1),(306,1),(311,1),(375,1),(392,1)}
       346:{1,5,7}:{(304,1),(305,1),(312,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(313,1),(329,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(314,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(315,1),(331,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(332,1),(378,1),(381,1),(382,1),(387,1)}
       351:{1,3,7}:{(308,1),(309,1),(317,1),(382,1)}
       352:{3,5}:{(311,1),(313,1)}
       353:{2,4,5,7}:{(311,1),(312,1),(314,1),(323,1),(376,1),(383,1),(384,1),(386,1),(415,1),(421,1)}
       354:{2,6}:{(312,1),(324,1),(377,1)}
       355:{3,4,7}:{(313,1),(314,1),(317,1),(383,1)}
       356:{2,4,6,7}:{(314,1),(315,1),(325,1),(335,1),(380,1),(384,1),(385,1),(386,1)}
       357:{1,3,6}:{(316,1),(319,1),(336,1),(387,1),(388,1)}
       358:{2,3,7}:{(316,1),(317,1),(320,1),(388,1)}
       359:{3,6,7}:{(317,1),(318,1),(337,1),(389,1)}
       360:{2,5,7}:{(318,1),(321,1),(338,1),(389,1)}
       361:{1,4,7}:{(319,1),(320,1),(326,1),(388,1)}
       362:{4,5,7}:{(322,1),(328,1),(339,1)}
       363:{1,4,6}:{(323,1),(324,1),(384,1),(390,1),(426,1)}
       364:{1,5,7}:{(325,1),(341,1),(386,1),(390,1)}
       365:{1,6,7}:{(326,1),(327,1),(343,1),(426,1)}
       366:{2,4}:{(329,1),(332,1),(391,1)}
       367:{1,4,6}:{(330,1),(331,1),(335,1),(392,1)}
       368:{1,3,5}:{(332,1),(381,1),(391,1),(393,1),(414,1),(422,1)}
       369:{1,3,4}:{(333,1),(336,1),(340,1),(391,1),(394,1),(397,1),(422,1)}
       370:{3,4,6}:{(334,1),(335,1),(337,1),(395,1),(396,1)}
       371:{2,5}:{(335,1),(341,1),(392,1),(395,1)}
       372:{2,5}:{(336,1),(387,1),(394,1)}
       373:{3,5,6}:{(337,1),(338,1),(389,1),(395,1),(396,1)}
       374:{1,2,4}:{(340,1),(342,1),(394,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(352,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(353,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(354,1)}
       378:{2,4,6}:{(347,1),(350,1),(366,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(355,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(356,1),(367,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(368,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(409,1)}
       383:{3,5,7}:{(352,1),(353,1),(355,1),(406,1)}
       384:{2,4,6}:{(353,1),(354,1),(363,1),(400,1),(406,1),(407,1),(424,1),(425,1)}
       385:{3,4,6,7}:{(355,1),(356,1),(359,1),(370,1),(406,1),(408,1),(410,1),(425,1)}
       386:{2,5,7}:{(356,1),(364,1),(371,1),(403,1),(407,1),(408,1)}
       387:{2,6}:{(357,1),(372,1),(409,1)}
       388:{1,3,7}:{(357,1),(358,1),(361,1),(409,1)}
       389:{3,5,7}:{(359,1),(360,1),(373,1),(410,1)}
       390:{1,5,6}:{(363,1),(364,1),(407,1)}
       391:{1,4}:{(366,1),(368,1)}
       392:{1,5}:{(367,1),(371,1)}
       393:{1,2,5}:{(368,1),(372,1),(404,1),(411,1)}
       394:{2,4}:{(369,1),(372,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(413,1)}
       396:{4,6}:{(373,1),(410,1),(413,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(383,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(384,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(391,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(386,1),(392,1),(417,1)}
       404:{1,2,6}:{(381,1),(387,1),(393,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{3,6}:{(383,1),(384,1)}
       407:{2,5,6}:{(384,1),(386,1),(390,1),(417,1),(420,1)}
       408:{3,5,7}:{(385,1),(386,1),(395,1),(420,1),(421,1)}
       409:{2,7}:{(387,1),(388,1)}
       410:{4,7}:{(389,1),(396,1)}
       411:{1,2,4}:{(391,1),(393,1),(394,1),(422,1)}
       412:{2,3}:{(394,1),(397,1),(422,1)}
       413:{4,5}:{(395,1),(396,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(406,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(407,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(409,1)}
       420:{3,5,6}:{(406,1),(407,1),(408,1),(425,1)}
       421:{4,5,7}:{(408,1),(410,1),(413,1),(425,1)}
       422:{1,3}:{(411,1),(412,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 192 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 193 :   0:{1,2,5,6}:{(1,1),(2,1),(3,1),(53,1),(125,1),(133,1),(185,1),(195,1),(203,1),(288,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(29,1),(90,1),(91,1),(140,1),(147,1),(242,1),(244,1),(327,1),(388,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(31,1),(170,1),(246,1),(262,1)}
         3:{1,2,5,7}:{(0,1),(6,1),(9,1),(10,1),(89,1),(173,1),(233,1),(251,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(13,1),(19,1),(45,1),(53,1),(99,1),(104,1),(118,1),(119,1),(133,1),(197,1),(203,1),(211,1),(289,1),(302,1),(369,1),(370,1)}
         5:{1,4,6}:{(1,1),(12,1),(14,1),(16,1),(286,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(13,1),(16,1),(17,1),(20,1),(58,1),(186,1),(196,1)}
         7:{1,2,4,5}:{(2,1),(14,1),(18,1),(53,1),(59,1),(130,1),(195,1),(207,1),(223,1),(228,1),(286,1)}
         8:{1,3,6}:{(2,1),(18,1),(19,1),(20,1),(289,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(16,1),(20,1),(57,1),(219,1),(290,1),(305,1)}
        10:{1,2,6,7}:{(3,1),(17,1),(133,1),(222,1),(288,1),(296,1)}
        11:{1,3,5,6}:{(4,1),(21,1),(22,1),(23,1),(36,1),(64,1),(68,1),(88,1),(149,1),(150,1),(177,1),(179,1),(273,1),(348,1)}
        12:{2,4,6}:{(4,1),(5,1),(22,1),(24,1),(25,1),(26,1),(259,1),(395,1)}
        13:{2,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(37,1),(77,1),(82,1),(89,1),(141,1),(148,1),(251,1),(329,1),(391,1)}
        14:{1,4,5}:{(5,1),(24,1),(29,1),(147,1),(388,1)}
        15:{1,3,4,6}:{(5,1),(8,1),(25,1),(29,1),(31,1),(32,1),(34,1),(90,1)}
        16:{1,4,7}:{(5,1),(6,1),(26,1)}
        17:{1,3,6,7}:{(6,1),(10,1),(27,1),(33,1),(90,1),(244,1),(327,1)}
        18:{1,3,5}:{(7,1),(8,1),(34,1),(35,1),(254,1),(274,1)}
        19:{2,3,6}:{(8,1),(31,1),(35,1),(36,1),(37,1),(262,1)}
        20:{1,3,7}:{(8,1),(9,1),(37,1),(329,1)}
        21:{1,2,5,6}:{(11,1),(38,1),(39,1),(61,1),(104,1),(131,1),(189,1),(197,1),(203,1),(227,1)}
        22:{1,4,6}:{(11,1),(12,1),(40,1),(42,1),(225,1)}
        23:{1,3,5,7}:{(11,1),(13,1),(39,1),(42,1),(43,1),(62,1),(100,1),(109,1),(132,1)}
        24:{2,4,5}:{(12,1),(14,1),(40,1),(45,1),(53,1),(104,1),(370,1),(412,1)}
        25:{3,4,6}:{(12,1),(45,1),(48,1),(118,1),(289,1),(297,1)}
        26:{2,4,7}:{(12,1),(13,1),(16,1),(42,1),(48,1),(410,1)}
        27:{2,3,6,7}:{(13,1),(17,1),(43,1),(49,1),(118,1),(133,1),(197,1),(296,1),(302,1),(364,1)}
        28:{1,4,5,6}:{(14,1),(44,1),(50,1),(51,1),(55,1),(189,1),(200,1),(300,1),(308,1),(376,1)}
        29:{1,3,5}:{(14,1),(15,1),(45,1),(53,1)}
        30:{1,4,5,7}:{(14,1),(16,1),(46,1),(54,1),(55,1),(58,1),(196,1)}
        31:{2,4,6}:{(15,1),(19,1),(53,1),(56,1),(57,1),(59,1),(133,1)}
        32:{1,3,4,7}:{(15,1),(16,1),(20,1),(48,1),(54,1),(57,1)}
        33:{1,4,6,7}:{(16,1),(17,1),(49,1),(55,1),(58,1),(361,1)}
        34:{1,3,4}:{(18,1),(59,1),(286,1),(297,1)}
        35:{2,3,5}:{(18,1),(19,1),(53,1),(59,1),(60,1),(223,1),(229,1)}
        36:{1,3,6}:{(19,1),(56,1),(60,1),(61,1),(62,1)}
        37:{2,3,7}:{(19,1),(20,1),(57,1),(62,1),(305,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(63,1),(64,1),(65,1),(70,1),(235,1),(246,1),(316,1)}
        39:{1,2,5,7}:{(21,1),(23,1),(65,1),(66,1),(97,1),(148,1),(238,1),(251,1)}
        40:{1,4,5}:{(22,1),(24,1),(68,1),(88,1),(348,1)}
        41:{1,3,4,6}:{(22,1),(25,1),(64,1),(68,1),(70,1),(71,1),(138,1),(149,1)}
        42:{1,4,7}:{(22,1),(23,1),(26,1)}
        43:{1,3,6,7}:{(23,1),(27,1),(66,1),(72,1),(149,1),(179,1),(273,1)}
        44:{2,4,5,6}:{(24,1),(28,1),(67,1),(73,1),(74,1),(78,1),(84,1),(143,1),(153,1),(246,1),(257,1),(258,1),(332,1),(337,1),(392,1),(395,1)}
        45:{3,5}:{(24,1),(25,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(30,1),(69,1),(77,1),(78,1),(82,1),(89,1),(148,1),(168,1)}
        47:{2,3,4,6}:{(25,1),(31,1),(70,1),(76,1),(79,1),(80,1),(94,1),(153,1),(164,1),(166,1),(169,1),(230,1),(234,1),(259,1),(328,1),(338,1),(341,1),(381,1)}
        48:{3,4,7}:{(25,1),(26,1),(77,1),(329,1)}
        49:{2,4,6,7}:{(26,1),(27,1),(33,1),(72,1),(78,1),(81,1),(82,1),(338,1)}
        50:{1,3,5,6}:{(28,1),(29,1),(73,1),(83,1),(84,1),(85,1),(90,1),(343,1),(399,1)}
        51:{1,4,5,7}:{(28,1),(74,1),(85,1),(86,1),(238,1),(247,1),(331,1)}
        52:{1,3,4,5}:{(29,1),(34,1),(75,1),(83,1),(87,1),(159,1),(175,1),(254,1),(271,1),(343,1)}
        53:{2,5}:{(29,1),(31,1),(88,1)}
        54:{1,3,5,7}:{(29,1),(30,1),(32,1),(77,1),(89,1),(90,1)}
        55:{1,4,6}:{(30,1),(78,1),(90,1),(91,1),(244,1)}
        56:{1,4,6}:{(31,1),(36,1),(88,1),(93,1),(95,1),(179,1)}
        57:{2,4,7}:{(31,1),(32,1),(37,1),(89,1),(93,1)}
        58:{1,5,7}:{(33,1),(82,1),(91,1),(388,1)}
        59:{2,4}:{(34,1),(35,1),(95,1)}
        60:{1,3,5}:{(35,1),(36,1),(88,1),(95,1),(96,1),(182,1)}
        61:{1,2,6}:{(36,1),(96,1),(97,1),(262,1)}
        62:{1,3,7}:{(36,1),(37,1),(93,1),(97,1)}
        63:{1,2,4,5}:{(38,1),(40,1),(98,1),(104,1),(131,1),(183,1),(194,1),(207,1),(225,1),(284,1),(349,1)}
        64:{1,3,6}:{(38,1),(98,1),(99,1),(100,1),(289,1)}
        65:{1,2,4,7}:{(38,1),(39,1),(42,1),(100,1),(108,1),(280,1),(290,1),(353,1)}
        66:{1,2,6,7}:{(39,1),(43,1),(197,1),(227,1),(283,1),(296,1)}
        67:{1,4,5,6}:{(40,1),(44,1),(101,1),(102,1),(106,1),(125,1),(200,1),(300,1),(356,1),(406,1)}
        68:{1,3,5}:{(40,1),(41,1),(45,1),(104,1)}
        69:{1,4,5,7}:{(40,1),(42,1),(46,1),(105,1),(106,1),(109,1),(132,1)}
        70:{2,4,6}:{(41,1),(99,1),(104,1),(107,1),(108,1),(183,1),(197,1)}
        71:{1,3,4,7}:{(41,1),(42,1),(48,1),(100,1),(105,1),(108,1)}
        72:{1,4,6,7}:{(42,1),(43,1),(49,1),(106,1),(109,1),(313,1)}
        73:{3,5,6}:{(44,1),(45,1),(110,1),(112,1),(118,1),(289,1),(362,1),(408,1)}
        74:{2,4,5,7}:{(44,1),(51,1),(102,1),(112,1),(113,1),(126,1),(190,1),(201,1),(290,1),(292,1),(293,1),(365,1),(410,1)}
        75:{3,4,5}:{(45,1),(110,1),(114,1),(297,1),(362,1),(412,1)}
        76:{2,3,5}:{(45,1),(47,1),(53,1),(104,1),(114,1),(116,1),(362,1),(370,1),(373,1),(403,1)}
        77:{3,5,7}:{(45,1),(46,1),(48,1),(118,1)}
        78:{2,4,6}:{(46,1),(55,1),(106,1),(118,1),(119,1),(133,1),(197,1),(214,1)}
        79:{1,3,4,6}:{(47,1),(56,1),(107,1),(116,1),(120,1),(121,1),(134,1),(136,1),(198,1),(200,1),(213,1),(216,1),(225,1),(275,1),(277,1),(286,1),(289,1),(297,1),(313,1),(361,1),(368,1),(371,1),(401,1)}
        80:{2,3,4,7}:{(47,1),(48,1),(57,1),(108,1),(117,1),(121,1),(201,1),(215,1),(217,1),(278,1),(301,1),(363,1),(374,1),(404,1)}
        81:{3,4,6,7}:{(48,1),(49,1),(118,1),(122,1),(214,1),(364,1),(368,1),(410,1)}
        82:{2,5,7}:{(49,1),(58,1),(109,1),(119,1),(122,1),(370,1)}
        83:{1,3,4,6}:{(50,1),(52,1),(110,1),(123,1),(124,1),(200,1),(216,1),(289,1)}
        84:{2,5,6}:{(50,1),(53,1),(123,1),(125,1),(126,1),(133,1),(373,1),(414,1)}
        85:{1,3,5,7}:{(50,1),(51,1),(112,1),(124,1),(126,1),(127,1)}
        86:{1,4,6,7}:{(51,1),(55,1),(113,1),(127,1),(128,1),(283,1),(376,1)}
        87:{2,4,5}:{(52,1),(53,1),(59,1),(123,1),(129,1),(130,1),(223,1),(312,1),(373,1)}
        88:{1,5}:{(53,1),(56,1)}
        89:{2,5,7}:{(53,1),(54,1),(57,1),(132,1),(133,1)}
        90:{1,3,6}:{(54,1),(55,1),(118,1),(133,1)}
        91:{1,5,6}:{(55,1),(58,1),(119,1)}
        92:{1,2,4,6}:{(56,1),(61,1),(120,1),(131,1),(134,1),(135,1),(137,1),(225,1),(227,1),(313,1),(349,1),(351,1),(401,1)}
        93:{1,4,7}:{(56,1),(57,1),(62,1),(132,1)}
        94:{2,3,4}:{(59,1),(129,1),(136,1),(229,1),(297,1),(312,1)}
        95:{1,4}:{(59,1),(60,1)}
        96:{1,2,5}:{(60,1),(61,1),(137,1),(223,1)}
        97:{1,2,7}:{(61,1),(62,1),(305,1)}
        98:{1,3,5}:{(63,1),(64,1),(138,1),(139,1),(254,1),(378,1)}
        99:{2,3,6}:{(64,1),(70,1),(139,1),(140,1),(141,1),(316,1)}
       100:{1,3,7}:{(64,1),(65,1),(141,1),(329,1)}
       101:{1,3,5,6}:{(67,1),(68,1),(73,1),(142,1),(143,1),(144,1),(149,1),(383,1),(418,1)}
       102:{1,4,5,7}:{(67,1),(74,1),(144,1),(145,1),(173,1),(247,1),(331,1)}
       103:{1,3,4,5}:{(68,1),(75,1),(138,1),(142,1),(146,1),(159,1),(240,1),(254,1),(325,1),(383,1)}
       104:{2,5}:{(68,1),(70,1),(147,1)}
       105:{1,3,5,7}:{(68,1),(69,1),(71,1),(77,1),(148,1),(149,1)}
       106:{1,4,6}:{(69,1),(78,1),(149,1),(150,1),(179,1)}
       107:{1,4,6}:{(70,1),(140,1),(147,1),(152,1),(231,1),(244,1)}
       108:{2,4,7}:{(70,1),(71,1),(141,1),(148,1),(152,1)}
       109:{1,5,7}:{(72,1),(82,1),(150,1),(348,1)}
       110:{3,4,6}:{(73,1),(75,1),(153,1),(154,1),(395,1)}
       111:{2,3,5,6}:{(73,1),(76,1),(84,1),(143,1),(153,1),(155,1),(156,1),(164,1),(169,1),(234,1),(257,1)}
       112:{3,5,7}:{(73,1),(74,1),(154,1),(157,1),(329,1)}
       113:{2,4,6,7}:{(74,1),(78,1),(86,1),(145,1),(157,1),(158,1),(174,1),(239,1),(253,1),(392,1)}
       114:{2,4,5}:{(75,1),(76,1),(153,1),(159,1),(259,1)}
       115:{3,4,5,7}:{(75,1),(77,1),(154,1),(160,1),(161,1),(168,1),(249,1),(335,1),(389,1),(394,1),(421,1)}
       116:{1,3,5}:{(76,1),(79,1),(88,1),(147,1),(159,1),(162,1),(254,1),(348,1),(388,1),(394,1),(396,1),(415,1)}
       117:{2,3,5,7}:{(76,1),(77,1),(80,1),(89,1),(148,1),(160,1),(163,1),(164,1),(389,1),(398,1),(417,1)}
       118:{3,6}:{(77,1),(78,1)}
       119:{2,5,6}:{(78,1),(82,1),(91,1),(150,1),(165,1)}
       120:{2,4,6}:{(79,1),(162,1),(166,1),(167,1),(181,1),(259,1),(261,1),(262,1),(314,1),(316,1)}
       121:{1,3,4,7}:{(79,1),(80,1),(93,1),(152,1),(163,1),(167,1),(180,1),(245,1),(247,1),(263,1),(272,1),(317,1),(326,1),(329,1),(335,1),(397,1),(416,1)}
       122:{3,5,7}:{(81,1),(82,1),(165,1),(168,1),(394,1)}
       123:{2,4,6}:{(83,1),(84,1),(87,1),(169,1),(170,1),(171,1),(262,1)}
       124:{1,3,4,7}:{(83,1),(85,1),(154,1),(171,1),(247,1),(263,1),(329,1)}
       125:{1,5,6}:{(84,1),(88,1),(170,1),(173,1),(179,1),(396,1),(422,1)}
       126:{2,5,7}:{(84,1),(85,1),(171,1),(173,1),(174,1)}
       127:{1,3,6,7}:{(85,1),(86,1),(90,1),(157,1),(174,1),(399,1)}
       128:{1,5,6,7}:{(86,1),(91,1),(158,1),(331,1),(400,1)}
       129:{2,3,5}:{(87,1),(94,1),(169,1),(175,1),(254,1)}
       130:{1,4,5}:{(87,1),(88,1),(95,1),(170,1),(175,1),(347,1),(396,1)}
       131:{1,2,5}:{(88,1),(92,1),(162,1),(177,1),(348,1),(415,1)}
       132:{1,5,7}:{(88,1),(89,1),(93,1),(179,1)}
       133:{2,6}:{(89,1),(90,1),(179,1)}
       134:{1,3,6}:{(92,1),(166,1),(177,1),(180,1),(182,1),(378,1)}
       135:{1,2,4,7}:{(92,1),(93,1),(97,1),(167,1),(178,1),(180,1),(272,1),(380,1),(416,1)}
       136:{1,3,4}:{(94,1),(95,1),(175,1),(181,1),(182,1),(274,1),(347,1)}
       137:{1,2,4}:{(95,1),(96,1),(181,1),(182,1)}
       138:{1,3,4}:{(98,1),(183,1),(225,1),(297,1)}
       139:{2,3,5}:{(98,1),(99,1),(104,1),(183,1),(184,1),(284,1),(350,1)}
       140:{1,3,6}:{(99,1),(107,1),(184,1),(185,1),(186,1)}
       141:{2,3,7}:{(99,1),(100,1),(108,1),(186,1),(353,1)}
       142:{1,3,4,6}:{(101,1),(103,1),(110,1),(187,1),(188,1),(200,1),(277,1),(289,1)}
       143:{2,5,6}:{(101,1),(104,1),(187,1),(189,1),(190,1),(197,1),(403,1),(424,1)}
       144:{1,3,5,7}:{(101,1),(102,1),(112,1),(188,1),(190,1),(191,1)}
       145:{1,4,6,7}:{(102,1),(106,1),(113,1),(191,1),(192,1),(222,1),(406,1)}
       146:{2,4,5}:{(103,1),(104,1),(183,1),(187,1),(193,1),(194,1),(284,1),(360,1),(403,1)}
       147:{1,5}:{(104,1),(107,1)}
       148:{2,5,7}:{(104,1),(105,1),(108,1),(196,1),(197,1)}
       149:{1,3,6}:{(105,1),(106,1),(118,1),(197,1)}
       150:{1,5,6}:{(106,1),(109,1),(119,1)}
       151:{1,2,4,6}:{(107,1),(120,1),(185,1),(195,1),(198,1),(199,1),(228,1),(276,1),(286,1),(288,1),(303,1),(361,1),(371,1)}
       152:{1,4,7}:{(107,1),(108,1),(186,1),(196,1)}
       153:{2,4,6}:{(110,1),(111,1),(114,1),(200,1),(201,1)}
       154:{3,4,7}:{(110,1),(112,1),(201,1),(410,1)}
       155:{1,3,5,6}:{(111,1),(116,1),(125,1),(189,1),(200,1),(203,1),(204,1),(213,1),(216,1),(277,1),(289,1),(300,1),(369,1)}
       156:{2,3,5,7}:{(111,1),(112,1),(126,1),(190,1),(201,1),(204,1),(205,1),(217,1),(278,1),(292,1)}
       157:{3,6,7}:{(112,1),(113,1),(118,1),(408,1)}
       158:{2,5,6,7}:{(113,1),(119,1),(128,1),(192,1),(206,1),(292,1),(365,1),(411,1)}
       159:{1,4,5}:{(114,1),(116,1),(200,1),(207,1),(225,1),(286,1),(412,1)}
       160:{2,4,5,7}:{(114,1),(115,1),(117,1),(201,1),(208,1),(209,1),(292,1),(301,1),(370,1)}
       161:{3,4,6}:{(115,1),(118,1),(209,1),(210,1),(214,1),(408,1),(425,1)}
       162:{2,5}:{(116,1),(120,1)}
       163:{1,3,5,7}:{(116,1),(117,1),(121,1),(132,1),(196,1),(208,1),(212,1),(213,1),(298,1),(413,1),(423,1)}
       164:{2,3,6}:{(117,1),(118,1),(133,1),(197,1),(209,1),(213,1),(408,1),(414,1),(424,1)}
       165:{3,5,6}:{(118,1),(119,1),(122,1),(214,1)}
       166:{2,3,6}:{(120,1),(134,1),(198,1),(211,1),(215,1),(229,1),(289,1),(350,1)}
       167:{2,4,7}:{(120,1),(121,1),(212,1),(215,1),(305,1),(353,1)}
       168:{4,5,7}:{(122,1),(214,1),(410,1),(412,1)}
       169:{2,3,6}:{(123,1),(129,1),(216,1),(217,1),(289,1)}
       170:{1,4,6}:{(123,1),(125,1),(130,1),(216,1),(219,1)}
       171:{2,4,7}:{(123,1),(124,1),(126,1),(217,1),(219,1),(305,1)}
       172:{1,2,5,6}:{(125,1),(131,1),(203,1),(218,1),(220,1),(221,1),(227,1),(351,1),(373,1),(414,1)}
       173:{1,5,7}:{(125,1),(126,1),(219,1),(222,1)}
       174:{2,6,7}:{(126,1),(127,1),(133,1),(222,1),(414,1)}
       175:{1,3,5}:{(129,1),(130,1),(136,1),(216,1),(223,1)}
       176:{1,2,4,5}:{(130,1),(131,1),(137,1),(207,1),(218,1),(223,1),(224,1),(225,1),(308,1),(312,1),(373,1)}
       177:{1,3,5}:{(131,1),(134,1),(211,1),(225,1)}
       178:{1,2,5,7}:{(131,1),(132,1),(135,1),(212,1),(226,1),(227,1),(423,1)}
       179:{1,6}:{(132,1),(133,1)}
       180:{1,3,7}:{(134,1),(135,1),(215,1)}
       181:{2,4}:{(136,1),(223,1),(229,1)}
       182:{1,3}:{(137,1),(229,1)}
       183:{2,4}:{(138,1),(139,1),(231,1)}
       184:{1,3,5}:{(139,1),(140,1),(147,1),(231,1),(232,1),(315,1)}
       185:{1,2,6}:{(140,1),(232,1),(233,1),(316,1)}
       186:{1,3,7}:{(140,1),(141,1),(152,1),(233,1)}
       187:{2,4,6}:{(142,1),(143,1),(146,1),(234,1),(235,1),(236,1),(316,1)}
       188:{1,3,4,7}:{(142,1),(144,1),(154,1),(236,1),(247,1),(317,1),(329,1)}
       189:{1,5,6}:{(143,1),(147,1),(235,1),(238,1),(244,1),(415,1),(426,1)}
       190:{2,5,7}:{(143,1),(144,1),(236,1),(238,1),(239,1)}
       191:{1,3,6,7}:{(144,1),(145,1),(149,1),(157,1),(239,1),(418,1)}
       192:{1,5,6,7}:{(145,1),(150,1),(158,1),(331,1),(419,1)}
       193:{2,3,5}:{(146,1),(230,1),(234,1),(240,1),(254,1)}
       194:{1,4,5}:{(146,1),(147,1),(231,1),(235,1),(240,1),(387,1),(415,1)}
       195:{1,2,5}:{(147,1),(151,1),(162,1),(242,1),(388,1),(396,1)}
       196:{1,5,7}:{(147,1),(148,1),(152,1),(244,1)}
       197:{2,6}:{(148,1),(149,1),(244,1)}
       198:{1,3,6}:{(151,1),(166,1),(242,1),(245,1),(274,1),(315,1)}
       199:{1,2,4,7}:{(151,1),(152,1),(167,1),(233,1),(243,1),(245,1),(326,1),(340,1),(397,1)}
       200:{1,4,6}:{(153,1),(155,1),(159,1),(246,1),(247,1),(395,1)}
       201:{2,4,7}:{(153,1),(154,1),(156,1),(247,1)}
       202:{3,4,6,7}:{(154,1),(157,1),(161,1),(248,1),(249,1),(253,1)}
       203:{2,5,6}:{(155,1),(162,1),(246,1),(251,1),(261,1),(262,1),(316,1)}
       204:{1,3,5,7}:{(155,1),(156,1),(173,1),(238,1),(247,1),(251,1),(252,1),(263,1),(317,1),(329,1),(331,1),(391,1)}
       205:{2,3,6,7}:{(156,1),(157,1),(164,1),(174,1),(239,1),(248,1),(252,1)}
       206:{3,5,6,7}:{(157,1),(158,1),(165,1),(249,1),(253,1),(391,1),(420,1)}
       207:{2,4,5}:{(159,1),(162,1),(246,1),(254,1),(259,1)}
       208:{1,4,5,7}:{(159,1),(160,1),(163,1),(247,1),(255,1),(256,1),(272,1),(326,1),(331,1),(348,1),(388,1)}
       209:{2,4,6}:{(160,1),(161,1),(164,1),(256,1),(257,1)}
       210:{3,5,6}:{(161,1),(249,1),(257,1),(258,1),(394,1)}
       211:{2,3,5}:{(162,1),(166,1),(177,1),(242,1),(254,1),(259,1)}
       212:{2,5,7}:{(162,1),(163,1),(167,1),(261,1)}
       213:{1,3,6}:{(163,1),(164,1),(179,1),(244,1),(256,1),(261,1),(336,1),(422,1),(426,1)}
       214:{4,6}:{(165,1),(168,1)}
       215:{2,3,7}:{(166,1),(167,1),(180,1),(245,1),(329,1)}
       216:{1,3,6}:{(169,1),(170,1),(175,1),(262,1),(263,1)}
       217:{2,3,7}:{(169,1),(171,1),(263,1),(329,1)}
       218:{1,2,4,6}:{(170,1),(172,1),(176,1),(246,1),(262,1),(264,1),(265,1),(266,1),(341,1)}
       219:{1,4,7}:{(170,1),(171,1),(173,1),(263,1)}
       220:{1,3,5,6}:{(172,1),(177,1),(250,1),(264,1),(266,1),(267,1),(273,1),(343,1),(348,1),(379,1),(399,1),(400,1),(415,1),(426,1)}
       221:{1,2,5,7}:{(172,1),(173,1),(251,1),(265,1),(267,1),(268,1),(380,1),(398,1)}
       222:{1,6,7}:{(173,1),(174,1),(179,1),(422,1)}
       223:{2,5}:{(175,1),(181,1),(262,1)}
       224:{1,3,5}:{(176,1),(182,1),(254,1),(264,1),(270,1),(271,1)}
       225:{1,4}:{(177,1),(259,1)}
       226:{1,3,5,7}:{(177,1),(178,1),(180,1),(260,1),(272,1),(273,1),(348,1)}
       227:{1,2,6}:{(178,1),(179,1),(261,1),(273,1),(426,1)}
       228:{1,2,4}:{(181,1),(269,1),(274,1),(347,1)}
       229:{2,3}:{(181,1),(182,1),(274,1)}
       230:{2,3,4}:{(183,1),(193,1),(275,1),(297,1),(350,1),(360,1)}
       231:{1,4}:{(183,1),(184,1)}
       232:{1,2,5}:{(184,1),(185,1),(276,1),(284,1)}
       233:{1,2,7}:{(185,1),(186,1),(353,1)}
       234:{2,3,6}:{(187,1),(193,1),(277,1),(278,1),(289,1)}
       235:{1,4,6}:{(187,1),(189,1),(194,1),(277,1),(280,1)}
       236:{2,4,7}:{(187,1),(188,1),(190,1),(278,1),(280,1),(353,1)}
       237:{1,2,5,6}:{(189,1),(195,1),(203,1),(279,1),(281,1),(282,1),(288,1),(303,1),(403,1),(424,1)}
       238:{1,5,7}:{(189,1),(190,1),(280,1),(283,1)}
       239:{2,6,7}:{(190,1),(191,1),(197,1),(283,1),(424,1)}
       240:{1,3,5}:{(193,1),(194,1),(275,1),(277,1),(284,1)}
       241:{1,2,4,5}:{(194,1),(195,1),(207,1),(276,1),(279,1),(284,1),(285,1),(286,1),(356,1),(360,1),(403,1)}
       242:{1,3,5}:{(195,1),(198,1),(211,1),(286,1)}
       243:{1,2,5,7}:{(195,1),(196,1),(199,1),(212,1),(287,1),(288,1),(413,1)}
       244:{1,6}:{(196,1),(197,1)}
       245:{1,3,7}:{(198,1),(199,1),(215,1)}
       246:{2,4,6}:{(200,1),(203,1),(207,1),(289,1),(290,1)}
       247:{1,4,7}:{(200,1),(201,1),(204,1),(290,1),(410,1)}
       248:{2,4,6,7}:{(201,1),(202,1),(205,1),(209,1),(291,1),(292,1)}
       249:{3,5,7}:{(202,1),(210,1),(292,1),(293,1)}
       250:{2,3,5,6}:{(203,1),(211,1),(220,1),(281,1),(289,1),(294,1),(295,1),(302,1),(304,1),(352,1),(362,1),(369,1),(370,1),(373,1),(403,1),(408,1),(411,1),(414,1),(424,1)}
       251:{2,5,7}:{(203,1),(204,1),(290,1),(296,1),(305,1),(353,1)}
       252:{1,3,6,7}:{(204,1),(205,1),(213,1),(222,1),(283,1),(291,1),(296,1),(364,1)}
       253:{4,6,7}:{(206,1),(214,1),(293,1),(410,1),(425,1)}
       254:{3,5}:{(207,1),(289,1),(297,1)}
       255:{2,4,5,7}:{(207,1),(208,1),(212,1),(290,1),(298,1),(299,1),(301,1),(365,1),(370,1),(410,1),(412,1)}
       256:{1,4,6}:{(208,1),(209,1),(213,1),(299,1),(300,1)}
       257:{2,5,6}:{(209,1),(210,1),(292,1),(300,1),(370,1)}
       258:{4,5,6}:{(210,1),(214,1),(293,1),(412,1),(425,1)}
       259:{2,4}:{(211,1),(225,1),(286,1),(297,1)}
       260:{2,3,5,7}:{(211,1),(212,1),(215,1),(226,1),(287,1),(298,1),(301,1),(302,1),(370,1)}
       261:{2,6}:{(212,1),(213,1)}
       262:{2,6}:{(216,1),(223,1),(305,1)}
       263:{1,3,7}:{(216,1),(217,1),(219,1),(305,1)}
       264:{1,3,6}:{(218,1),(224,1),(289,1),(304,1),(307,1)}
       265:{1,2,4,7}:{(218,1),(219,1),(221,1),(290,1),(305,1),(307,1),(309,1),(374,1)}
       266:{1,4,6}:{(220,1),(225,1),(294,1),(308,1),(309,1)}
       267:{1,3,5,7}:{(220,1),(221,1),(295,1),(307,1),(309,1),(310,1),(377,1),(402,1),(423,1)}
       268:{1,2,6,7}:{(221,1),(222,1),(227,1),(296,1),(310,1),(414,1)}
       269:{1,2,5}:{(223,1),(228,1),(303,1),(311,1)}
       270:{2,3,5}:{(223,1),(224,1),(229,1),(304,1),(311,1),(312,1),(373,1)}
       271:{1,3,4}:{(224,1),(225,1),(297,1),(312,1)}
       272:{1,4,7}:{(225,1),(226,1),(301,1),(313,1)}
       273:{1,3,6}:{(226,1),(227,1),(302,1),(313,1)}
       274:{1,3}:{(228,1),(229,1)}
       275:{1,3,4}:{(230,1),(231,1),(240,1),(314,1),(315,1),(378,1),(387,1)}
       276:{1,2,4}:{(231,1),(232,1),(314,1),(315,1)}
       277:{1,3,6}:{(234,1),(235,1),(240,1),(316,1),(317,1)}
       278:{2,3,7}:{(234,1),(236,1),(317,1),(329,1)}
       279:{1,2,4,6}:{(235,1),(237,1),(241,1),(246,1),(316,1),(318,1),(319,1),(320,1),(381,1)}
       280:{1,4,7}:{(235,1),(236,1),(238,1),(317,1)}
       281:{1,3,5,6}:{(237,1),(242,1),(250,1),(318,1),(320,1),(321,1),(327,1),(339,1),(383,1),(388,1),(396,1),(418,1),(419,1),(422,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(251,1),(319,1),(321,1),(322,1),(340,1),(417,1)}
       283:{1,6,7}:{(238,1),(239,1),(244,1),(426,1)}
       284:{2,5}:{(240,1),(314,1),(316,1)}
       285:{1,3,5}:{(241,1),(254,1),(315,1),(318,1),(324,1),(325,1)}
       286:{1,4}:{(242,1),(259,1)}
       287:{1,3,5,7}:{(242,1),(243,1),(245,1),(260,1),(326,1),(327,1),(388,1)}
       288:{1,2,6}:{(243,1),(244,1),(261,1),(327,1),(422,1)}
       289:{3,6}:{(246,1),(254,1),(329,1)}
       290:{2,4,7}:{(246,1),(247,1),(251,1),(329,1)}
       291:{1,4,6,7}:{(247,1),(248,1),(252,1),(256,1),(330,1),(331,1)}
       292:{2,5,7}:{(248,1),(249,1),(257,1),(331,1)}
       293:{4,5,7}:{(249,1),(253,1),(258,1)}
       294:{2,4,6}:{(250,1),(259,1),(266,1),(320,1),(328,1),(332,1),(333,1),(395,1)}
       295:{2,3,5,7}:{(250,1),(251,1),(267,1),(321,1),(329,1),(333,1),(334,1),(342,1),(382,1),(389,1),(391,1),(393,1),(398,1),(417,1)}
       296:{2,6,7}:{(251,1),(252,1),(261,1)}
       297:{3,4}:{(254,1),(259,1)}
       298:{3,5,7}:{(254,1),(255,1),(329,1),(335,1),(336,1),(394,1)}
       299:{2,4,6}:{(255,1),(256,1),(261,1),(336,1),(337,1),(395,1)}
       300:{1,5,6}:{(256,1),(257,1),(331,1),(337,1),(348,1),(388,1)}
       301:{2,4,7}:{(259,1),(260,1),(272,1),(326,1),(335,1),(338,1)}
       302:{2,3,6}:{(260,1),(261,1),(273,1),(327,1),(336,1),(338,1)}
       303:{1,2,6}:{(262,1),(269,1),(339,1),(340,1)}
       304:{2,3,6}:{(262,1),(264,1),(270,1),(339,1),(341,1),(342,1)}
       305:{2,7}:{(262,1),(263,1)}
       306:{1,3,4,6}:{(264,1),(266,1),(271,1),(328,1),(341,1),(343,1),(344,1),(399,1)}
       307:{1,3,7}:{(264,1),(265,1),(329,1),(342,1)}
       308:{1,4,5}:{(266,1),(332,1),(343,1),(348,1),(415,1)}
       309:{1,4,7}:{(266,1),(267,1),(333,1)}
       310:{1,3,6,7}:{(267,1),(268,1),(273,1),(334,1),(346,1),(399,1),(426,1)}
       311:{1,3,5}:{(269,1),(270,1),(274,1),(339,1),(347,1),(396,1)}
       312:{2,4}:{(270,1),(271,1),(347,1)}
       313:{1,4,6}:{(272,1),(273,1),(338,1),(348,1)}
       314:{2,4}:{(275,1),(284,1),(350,1)}
       315:{1,3}:{(276,1),(350,1)}
       316:{2,6}:{(277,1),(284,1),(353,1)}
       317:{1,3,7}:{(277,1),(278,1),(280,1),(353,1)}
       318:{1,3,6}:{(279,1),(285,1),(289,1),(352,1),(355,1)}
       319:{1,2,4,7}:{(279,1),(280,1),(282,1),(290,1),(353,1),(355,1),(357,1),(404,1)}
       320:{1,4,6}:{(281,1),(286,1),(294,1),(356,1),(357,1)}
       321:{1,3,5,7}:{(281,1),(282,1),(295,1),(355,1),(357,1),(358,1),(372,1),(407,1),(413,1)}
       322:{1,2,6,7}:{(282,1),(283,1),(288,1),(296,1),(358,1),(424,1)}
       323:{1,2,5}:{(284,1),(349,1),(351,1),(359,1)}
       324:{2,3,5}:{(284,1),(285,1),(350,1),(352,1),(359,1),(360,1),(403,1)}
       325:{1,3,4}:{(285,1),(286,1),(297,1),(360,1)}
       326:{1,4,7}:{(286,1),(287,1),(301,1),(361,1)}
       327:{1,3,6}:{(287,1),(288,1),(302,1),(361,1)}
       328:{3,4,6}:{(289,1),(294,1),(297,1),(362,1),(363,1),(408,1)}
       329:{3,7}:{(289,1),(290,1)}
       330:{2,4,6,7}:{(290,1),(291,1),(296,1),(299,1),(364,1),(365,1),(410,1)}
       331:{1,5,7}:{(291,1),(292,1),(300,1),(365,1)}
       332:{2,4,5}:{(294,1),(308,1),(356,1),(362,1),(370,1),(373,1),(403,1),(412,1)}
       333:{2,4,7}:{(294,1),(295,1),(309,1),(357,1),(363,1),(410,1)}
       334:{2,3,6,7}:{(295,1),(296,1),(302,1),(310,1),(358,1),(364,1),(367,1),(408,1),(414,1),(424,1)}
       335:{3,4,7}:{(297,1),(298,1),(301,1),(368,1),(410,1)}
       336:{3,6}:{(298,1),(299,1)}
       337:{2,5,6}:{(299,1),(300,1),(365,1),(369,1),(370,1)}
       338:{2,4,6}:{(301,1),(302,1),(313,1),(361,1),(368,1),(370,1)}
       339:{1,3,6}:{(303,1),(304,1),(311,1),(371,1),(372,1)}
       340:{1,2,7}:{(303,1),(305,1),(372,1)}
       341:{2,4,6}:{(304,1),(306,1),(312,1),(371,1),(373,1),(374,1),(414,1)}
       342:{2,3,7}:{(304,1),(305,1),(307,1),(372,1),(374,1)}
       343:{1,3,5}:{(306,1),(308,1),(362,1),(373,1)}
       344:{1,3,4,7}:{(306,1),(307,1),(309,1),(363,1),(374,1),(375,1)}
       345:{1,4,5,7}:{(308,1),(309,1),(366,1),(375,1),(376,1),(377,1),(423,1)}
       346:{1,4,6,7}:{(309,1),(310,1),(313,1),(367,1),(376,1),(377,1)}
       347:{1,4}:{(311,1),(312,1)}
       348:{1,5}:{(313,1),(370,1)}
       349:{1,2,4}:{(314,1),(323,1),(378,1),(387,1)}
       350:{2,3}:{(314,1),(315,1),(378,1)}
       351:{1,2,6}:{(316,1),(323,1),(379,1),(380,1)}
       352:{2,3,6}:{(316,1),(318,1),(324,1),(379,1),(381,1),(382,1)}
       353:{2,7}:{(316,1),(317,1)}
       354:{1,3,4,6}:{(318,1),(320,1),(325,1),(328,1),(381,1),(383,1),(384,1),(418,1)}
       355:{1,3,7}:{(318,1),(319,1),(329,1),(382,1)}
       356:{1,4,5}:{(320,1),(332,1),(383,1),(388,1),(396,1)}
       357:{1,4,7}:{(320,1),(321,1),(333,1)}
       358:{1,3,6,7}:{(321,1),(322,1),(327,1),(334,1),(386,1),(418,1),(422,1)}
       359:{1,3,5}:{(323,1),(324,1),(378,1),(379,1),(387,1),(415,1)}
       360:{2,4}:{(324,1),(325,1),(387,1)}
       361:{1,4,6}:{(326,1),(327,1),(338,1),(388,1)}
       362:{3,5}:{(328,1),(332,1)}
       363:{3,4,7}:{(328,1),(329,1),(333,1),(389,1)}
       364:{3,6,7}:{(329,1),(330,1),(336,1),(391,1)}
       365:{2,5,7}:{(330,1),(331,1),(337,1),(391,1)}
       366:{2,4,5,7}:{(332,1),(333,1),(345,1),(385,1),(389,1),(392,1),(393,1),(398,1),(417,1),(421,1)}
       367:{2,4,6,7}:{(333,1),(334,1),(338,1),(346,1),(386,1),(390,1),(392,1),(393,1)}
       368:{3,4,6}:{(335,1),(336,1),(338,1),(394,1),(395,1)}
       369:{3,5,6}:{(336,1),(337,1),(391,1),(394,1),(395,1)}
       370:{2,5}:{(338,1),(348,1),(388,1),(394,1)}
       371:{1,4,6}:{(339,1),(341,1),(347,1),(396,1),(397,1),(422,1)}
       372:{1,3,7}:{(339,1),(340,1),(342,1),(397,1)}
       373:{2,5}:{(341,1),(343,1),(396,1)}
       374:{2,4,7}:{(341,1),(342,1),(344,1),(397,1),(398,1)}
       375:{1,3,5,7}:{(343,1),(344,1),(345,1),(389,1),(398,1),(399,1)}
       376:{1,4,6}:{(345,1),(392,1),(399,1),(400,1),(426,1)}
       377:{1,5,7}:{(346,1),(348,1),(393,1),(400,1)}
       378:{1,3}:{(349,1),(350,1)}
       379:{1,3,6}:{(351,1),(352,1),(359,1),(401,1),(402,1)}
       380:{1,2,7}:{(351,1),(353,1),(402,1)}
       381:{2,4,6}:{(352,1),(354,1),(360,1),(401,1),(403,1),(404,1),(424,1)}
       382:{2,3,7}:{(352,1),(353,1),(355,1),(402,1),(404,1)}
       383:{1,3,5}:{(354,1),(356,1),(362,1),(403,1)}
       384:{1,3,4,7}:{(354,1),(355,1),(357,1),(363,1),(404,1),(405,1)}
       385:{1,4,5,7}:{(356,1),(357,1),(366,1),(405,1),(406,1),(407,1),(413,1)}
       386:{1,4,6,7}:{(357,1),(358,1),(361,1),(367,1),(406,1),(407,1)}
       387:{1,4}:{(359,1),(360,1)}
       388:{1,5}:{(361,1),(370,1)}
       389:{3,5,7}:{(362,1),(363,1),(366,1),(408,1)}
       390:{3,4,6,7}:{(363,1),(364,1),(367,1),(368,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(364,1),(365,1),(369,1),(410,1)}
       392:{2,4,6}:{(366,1),(376,1),(406,1),(408,1),(411,1),(414,1),(424,1),(425,1)}
       393:{2,5,7}:{(367,1),(370,1),(377,1),(407,1),(409,1),(411,1)}
       394:{3,5}:{(368,1),(370,1),(412,1)}
       395:{4,6}:{(369,1),(410,1),(412,1)}
       396:{1,5}:{(371,1),(373,1)}
       397:{1,4,7}:{(371,1),(372,1),(374,1),(413,1)}
       398:{2,5,7}:{(373,1),(374,1),(375,1),(413,1),(414,1)}
       399:{1,3,6}:{(375,1),(376,1),(408,1),(414,1)}
       400:{1,5,6}:{(376,1),(377,1),(411,1)}
       401:{1,4,6}:{(379,1),(381,1),(387,1),(415,1),(416,1),(426,1)}
       402:{1,3,7}:{(379,1),(380,1),(382,1),(416,1)}
       403:{2,5}:{(381,1),(383,1),(415,1)}
       404:{2,4,7}:{(381,1),(382,1),(384,1),(416,1),(417,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(385,1),(389,1),(417,1),(418,1)}
       406:{1,4,6}:{(385,1),(392,1),(418,1),(419,1),(422,1)}
       407:{1,5,7}:{(386,1),(388,1),(393,1),(419,1)}
       408:{3,6}:{(389,1),(392,1)}
       409:{3,5,7}:{(390,1),(393,1),(394,1),(420,1),(421,1)}
       410:{4,7}:{(391,1),(395,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,5}:{(401,1),(403,1)}
       416:{1,4,7}:{(401,1),(402,1),(404,1),(423,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(406,1),(408,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{3,5,6}:{(408,1),(409,1),(411,1),(425,1)}
       421:{4,5,7}:{(409,1),(410,1),(412,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 194 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(17,1),(42,1),(120,1),(155,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(28,1),(31,1),(98,1),(103,1),(140,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(167,1)}
         3:{1,2,6}:{(0,1),(6,1),(66,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(15,1),(37,1),(40,1),(42,1),(50,1),(74,1),(78,1),(122,1)}
         5:{1,4,7}:{(1,1),(10,1),(14,1),(51,1),(156,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(126,1)}
         7:{1,3,7}:{(2,1),(15,1),(16,1),(176,1),(181,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(46,1),(51,1)}
         9:{1,3,5,7}:{(4,1),(18,1),(19,1),(20,1),(29,1),(52,1),(58,1),(65,1),(72,1),(100,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(73,1),(141,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(23,1),(60,1),(66,1),(104,1)}
        12:{1,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(28,1),(64,1),(70,1),(103,1),(113,1),(147,1),(169,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(22,1),(24,1),(26,1),(27,1),(113,1),(150,1),(168,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(28,1)}
        15:{2,3,7}:{(7,1),(26,1),(29,1),(30,1),(150,1),(173,1),(182,1)}
        16:{1,3,6}:{(7,1),(8,1),(30,1),(31,1),(174,1)}
        17:{1,2,5}:{(8,1),(28,1),(31,1),(69,1),(175,1)}
        18:{1,2,5,7}:{(9,1),(32,1),(33,1),(48,1),(76,1),(78,1),(95,1)}
        19:{1,4,7}:{(9,1),(10,1),(36,1),(96,1),(123,1)}
        20:{1,3,6}:{(9,1),(11,1),(33,1),(36,1),(90,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(34,1),(37,1),(38,1),(40,1),(42,1),(78,1),(85,1),(87,1),(94,1),(130,1),(131,1),(133,1),(159,1)}
        22:{3,4,7}:{(10,1),(37,1),(39,1),(97,1),(131,1),(157,1)}
        23:{2,4,6}:{(10,1),(11,1),(14,1),(36,1),(39,1),(40,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(37,1),(42,1),(43,1),(47,1),(162,1),(178,1)}
        25:{1,4,6}:{(12,1),(38,1),(43,1),(44,1),(126,1)}
        26:{2,4,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(177,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(16,1),(39,1),(43,1),(46,1),(47,1),(51,1),(92,1),(97,1),(135,1)}
        28:{1,5}:{(14,1),(40,1)}
        29:{1,3,7}:{(15,1),(45,1),(48,1),(49,1),(186,1)}
        30:{2,3,6}:{(15,1),(16,1),(46,1),(49,1),(50,1),(135,1),(164,1)}
        31:{1,3,5}:{(16,1),(17,1),(50,1),(51,1),(165,1),(166,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1),(56,1),(118,1)}
        33:{1,2,6}:{(18,1),(20,1),(104,1)}
        34:{1,4,5,7}:{(19,1),(21,1),(54,1),(55,1),(58,1),(65,1),(102,1),(108,1),(116,1),(144,1),(149,1)}
        35:{1,3,4,7}:{(19,1),(22,1),(52,1),(54,1),(56,1),(57,1),(119,1),(144,1),(170,1)}
        36:{1,4,6}:{(19,1),(20,1),(23,1),(58,1)}
        37:{3,5,7}:{(21,1),(22,1),(60,1),(62,1),(117,1),(148,1),(150,1),(170,1)}
        38:{2,4,6}:{(21,1),(25,1),(55,1),(60,1),(61,1),(66,1),(104,1),(110,1)}
        39:{3,4,6}:{(22,1),(23,1),(60,1),(62,1),(110,1)}
        40:{2,5}:{(23,1),(28,1),(58,1),(62,1)}
        41:{1,4,6,7}:{(25,1),(59,1),(63,1),(64,1),(113,1),(142,1),(169,1)}
        42:{2,5,7}:{(24,1),(26,1),(65,1),(66,1),(69,1),(172,1),(184,1)}
        43:{1,3,6}:{(24,1),(25,1),(60,1),(66,1)}
        44:{1,5,6}:{(25,1),(28,1),(61,1),(64,1)}
        45:{1,4,7}:{(26,1),(29,1),(65,1),(68,1),(183,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1),(68,1),(69,1),(73,1)}
        47:{1,3,5}:{(27,1),(28,1),(62,1),(69,1),(70,1),(117,1)}
        48:{1,2,7}:{(29,1),(71,1),(173,1),(188,1)}
        49:{1,3,6}:{(29,1),(30,1),(68,1),(71,1),(72,1)}
        50:{2,3,5}:{(30,1),(31,1),(69,1),(72,1),(73,1),(117,1),(152,1),(153,1)}
        51:{1,4}:{(31,1),(73,1)}
        52:{1,3,7}:{(32,1),(74,1),(75,1),(137,1),(187,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(76,1),(82,1),(123,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(37,1),(78,1),(79,1),(83,1),(136,1),(163,1)}
        55:{1,4,6}:{(34,1),(38,1),(79,1),(80,1),(90,1)}
        56:{2,4,7}:{(35,1),(74,1),(78,1),(81,1),(82,1),(138,1)}
        57:{1,3,4,6}:{(35,1),(36,1),(39,1),(75,1),(79,1),(82,1),(83,1),(123,1),(128,1),(157,1),(161,1)}
        58:{1,5}:{(36,1),(40,1)}
        59:{2,4,6,7}:{(38,1),(41,1),(77,1),(84,1),(85,1),(88,1),(124,1),(131,1),(133,1),(159,1)}
        60:{3,6}:{(37,1),(38,1)}
        61:{2,5,6}:{(38,1),(40,1),(44,1),(80,1),(85,1),(86,1)}
        62:{3,5}:{(39,1),(40,1),(87,1)}
        63:{1,3,6,7}:{(41,1),(43,1),(84,1),(88,1),(89,1),(178,1)}
        64:{1,5,7}:{(41,1),(44,1),(85,1)}
        65:{1,5,7}:{(42,1),(45,1),(90,1),(93,1),(180,1),(187,1)}
        66:{2,6}:{(42,1),(43,1),(90,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(47,1),(86,1),(89,1),(91,1),(92,1),(135,1)}
        68:{1,4,6}:{(45,1),(46,1),(49,1),(90,1),(93,1),(96,1)}
        69:{2,5}:{(46,1),(47,1),(93,1)}
        70:{1,4,5}:{(47,1),(51,1),(87,1),(92,1),(94,1),(165,1)}
        71:{1,2,6}:{(48,1),(49,1),(95,1),(164,1)}
        72:{1,3,5}:{(49,1),(50,1),(93,1),(95,1),(96,1),(137,1)}
        73:{2,4}:{(50,1),(51,1),(96,1),(97,1)}
        74:{2,3,7}:{(52,1),(56,1),(98,1),(99,1),(153,1),(170,1),(184,1)}
        75:{1,3,6}:{(52,1),(53,1),(99,1),(100,1),(185,1)}
        76:{1,2,5}:{(53,1),(58,1),(100,1),(107,1),(188,1)}
        77:{1,4,6,7}:{(55,1),(59,1),(101,1),(102,1),(111,1),(144,1),(149,1)}
        78:{2,5,7}:{(54,1),(56,1),(103,1),(104,1),(107,1),(152,1),(173,1)}
        79:{1,3,6}:{(54,1),(55,1),(60,1),(104,1)}
        80:{1,5,6}:{(55,1),(58,1),(61,1),(102,1)}
        81:{1,4,7}:{(56,1),(98,1),(103,1),(106,1),(154,1)}
        82:{2,4,6}:{(56,1),(57,1),(99,1),(104,1),(106,1),(107,1),(141,1)}
        83:{1,3,5}:{(57,1),(58,1),(62,1),(107,1),(108,1),(148,1)}
        84:{3,6,7}:{(59,1),(60,1),(109,1),(150,1),(170,1)}
        85:{2,5,7}:{(59,1),(61,1),(64,1),(102,1),(109,1)}
        86:{3,5,6}:{(60,1),(61,1),(62,1),(109,1),(110,1)}
        87:{4,5}:{(62,1),(110,1)}
        88:{2,6,7}:{(63,1),(66,1),(111,1),(112,1),(184,1)}
        89:{1,3,5,7}:{(63,1),(64,1),(67,1),(109,1),(112,1),(113,1),(150,1)}
        90:{1,6}:{(65,1),(66,1)}
        91:{2,5,6}:{(66,1),(67,1),(69,1),(112,1),(114,1),(115,1)}
        92:{1,4,6}:{(67,1),(70,1),(110,1),(113,1),(115,1),(174,1)}
        93:{1,5}:{(68,1),(69,1)}
        94:{2,4,5}:{(69,1),(70,1),(73,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,5}:{(71,1),(72,1),(118,1),(152,1)}
        96:{1,4}:{(72,1),(73,1)}
        97:{3,4}:{(73,1),(117,1)}
        98:{1,3,7}:{(74,1),(81,1),(120,1),(121,1),(166,1)}
        99:{2,3,6}:{(74,1),(75,1),(82,1),(121,1),(122,1),(161,1),(179,1)}
       100:{1,3,5}:{(75,1),(76,1),(122,1),(123,1),(180,1),(186,1)}
       101:{1,3,6,7}:{(77,1),(79,1),(84,1),(124,1),(125,1),(163,1)}
       102:{1,5,7}:{(77,1),(80,1),(85,1)}
       103:{1,5,7}:{(78,1),(81,1),(126,1),(129,1),(165,1),(181,1)}
       104:{2,6}:{(78,1),(79,1),(126,1)}
       105:{1,3,5,6}:{(79,1),(80,1),(83,1),(86,1),(125,1),(127,1),(128,1),(161,1)}
       106:{1,4,6}:{(81,1),(82,1),(121,1),(126,1),(129,1),(156,1)}
       107:{2,5}:{(82,1),(83,1),(129,1)}
       108:{1,4,5}:{(83,1),(87,1),(123,1),(128,1),(130,1),(180,1)}
       109:{3,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       110:{4,6}:{(86,1),(87,1),(131,1)}
       111:{1,6,7}:{(88,1),(90,1),(132,1),(187,1)}
       112:{2,5,7}:{(88,1),(89,1),(91,1),(132,1),(133,1)}
       113:{1,4,7}:{(89,1),(92,1),(131,1),(133,1),(181,1)}
       114:{1,5,6}:{(90,1),(91,1),(93,1),(132,1),(134,1)}
       115:{2,4,6}:{(91,1),(92,1),(94,1),(133,1),(134,1),(135,1),(164,1)}
       116:{1,4,5}:{(93,1),(94,1),(96,1),(134,1),(136,1)}
       117:{3,5}:{(94,1),(97,1),(135,1)}
       118:{1,2,4}:{(95,1),(96,1),(137,1),(138,1)}
       119:{1,3,4}:{(96,1),(97,1),(136,1),(137,1),(138,1)}
       120:{1,2,7}:{(98,1),(139,1),(175,1),(184,1)}
       121:{1,3,6}:{(98,1),(99,1),(106,1),(139,1),(140,1)}
       122:{2,3,5}:{(99,1),(100,1),(107,1),(140,1),(141,1),(148,1),(172,1),(182,1)}
       123:{1,4}:{(100,1),(141,1)}
       124:{2,6,7}:{(101,1),(104,1),(142,1),(143,1),(173,1)}
       125:{1,3,5,7}:{(101,1),(102,1),(105,1),(109,1),(143,1),(144,1),(170,1)}
       126:{1,6}:{(103,1),(104,1)}
       127:{2,5,6}:{(104,1),(105,1),(107,1),(143,1),(145,1),(146,1)}
       128:{1,4,6}:{(105,1),(108,1),(110,1),(144,1),(146,1),(185,1)}
       129:{1,5}:{(106,1),(107,1)}
       130:{2,4,5}:{(107,1),(108,1),(141,1),(146,1),(147,1),(148,1),(172,1)}
       131:{4,7}:{(109,1),(110,1)}
       132:{1,5,7}:{(111,1),(112,1),(114,1),(149,1)}
       133:{2,4,7}:{(112,1),(113,1),(115,1),(149,1),(150,1),(173,1)}
       134:{1,4,6}:{(114,1),(115,1),(116,1),(149,1),(151,1)}
       135:{3,6}:{(115,1),(117,1),(150,1)}
       136:{1,3,5}:{(116,1),(117,1),(119,1),(151,1),(152,1)}
       137:{1,3}:{(118,1),(153,1)}
       138:{2,4}:{(119,1),(152,1),(153,1),(154,1)}
       139:{1,2,6}:{(120,1),(121,1),(155,1),(179,1)}
       140:{1,3,5}:{(121,1),(122,1),(129,1),(155,1),(156,1),(176,1)}
       141:{2,4}:{(122,1),(123,1),(156,1),(157,1)}
       142:{1,6,7}:{(124,1),(126,1),(158,1),(181,1)}
       143:{2,5,7}:{(124,1),(125,1),(127,1),(158,1),(159,1)}
       144:{1,4,7}:{(125,1),(128,1),(131,1),(159,1),(187,1)}
       145:{1,5,6}:{(126,1),(127,1),(129,1),(158,1),(160,1)}
       146:{2,4,6}:{(127,1),(128,1),(130,1),(159,1),(160,1),(161,1),(179,1)}
       147:{1,4,5}:{(129,1),(130,1),(156,1),(160,1),(162,1)}
       148:{3,5}:{(130,1),(157,1),(161,1)}
       149:{1,4,7}:{(132,1),(133,1),(134,1),(163,1)}
       150:{3,7}:{(133,1),(135,1)}
       151:{1,3,6}:{(134,1),(135,1),(136,1),(163,1),(164,1)}
       152:{2,5}:{(136,1),(138,1),(164,1),(165,1)}
       153:{2,3}:{(137,1),(138,1),(166,1)}
       154:{1,4}:{(138,1),(165,1),(166,1)}
       155:{1,2,5}:{(139,1),(140,1),(167,1),(172,1)}
       156:{1,4}:{(140,1),(141,1)}
       157:{3,4}:{(141,1),(148,1)}
       158:{1,5,7}:{(142,1),(143,1),(145,1),(169,1)}
       159:{2,4,7}:{(143,1),(144,1),(146,1),(169,1),(170,1),(184,1)}
       160:{1,4,6}:{(145,1),(146,1),(147,1),(169,1),(171,1)}
       161:{3,6}:{(146,1),(148,1),(170,1)}
       162:{1,3,5}:{(147,1),(148,1),(168,1),(171,1),(172,1)}
       163:{1,3,7}:{(149,1),(150,1),(151,1),(173,1)}
       164:{2,6}:{(151,1),(152,1),(173,1),(174,1)}
       165:{1,5}:{(152,1),(154,1),(174,1)}
       166:{1,3}:{(153,1),(154,1),(175,1)}
       167:{1,2,4}:{(155,1),(156,1),(176,1),(177,1)}
       168:{1,3,4}:{(156,1),(157,1),(162,1),(176,1),(177,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(178,1)}
       170:{3,7}:{(159,1),(161,1)}
       171:{1,3,6}:{(160,1),(161,1),(162,1),(178,1),(179,1)}
       172:{2,5}:{(162,1),(177,1),(179,1),(180,1)}
       173:{2,7}:{(163,1),(164,1),(181,1)}
       174:{1,6}:{(164,1),(165,1),(181,1)}
       175:{1,2}:{(166,1)}
       176:{1,3}:{(167,1),(182,1)}
       177:{2,4}:{(168,1),(172,1),(182,1),(183,1)}
       178:{1,3,7}:{(169,1),(170,1),(171,1),(184,1)}
       179:{2,6}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,5}:{(172,1),(183,1),(185,1)}
       181:{1,7}:{(173,1),(174,1)}
       182:{2,3}:{(176,1),(177,1),(186,1)}
       183:{1,4}:{(177,1),(180,1),(186,1)}
       184:{2,7}:{(178,1),(179,1),(187,1)}
       185:{1,6}:{(179,1),(180,1),(187,1)}
       186:{1,3}:{(182,1),(183,1),(188,1)}
       187:{1,7}:{(184,1),(185,1)}
       188:{1,2}:{(186,1)}

 195 :   0:{1,2,6,7}:{(1,1),(2,1),(94,1),(168,1),(229,1),(242,1)}
         1:{1,3,6,7}:{(0,1),(3,1),(4,1),(5,1),(64,1),(187,1),(271,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(65,1),(182,1),(209,1),(282,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(10,1),(86,1),(94,1),(145,1),(242,1),(245,1),(315,1)}
         4:{1,4,6,7}:{(1,1),(9,1),(11,1),(13,1),(40,1),(310,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(13,1),(15,1),(141,1),(146,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(94,1),(97,1),(170,1),(223,1),(229,1),(233,1),(244,1)}
         7:{1,2,4,7}:{(2,1),(13,1),(14,1),(15,1),(44,1),(250,1),(318,1),(325,1)}
         8:{1,3,6,7}:{(3,1),(16,1),(17,1),(18,1),(108,1),(130,1),(214,1)}
         9:{2,4,6,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(22,1),(57,1),(286,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(22,1),(29,1),(58,1),(65,1),(105,1),(109,1),(282,1),(348,1),(352,1)}
        11:{1,5,7}:{(4,1),(20,1),(23,1),(344,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(21,1),(23,1),(25,1),(28,1),(64,1),(66,1),(181,1),(187,1),(190,1),(271,1),(275,1),(344,1)}
        13:{1,4,7}:{(5,1),(22,1),(25,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(67,1),(212,1),(284,1),(293,1)}
        15:{1,3,7}:{(7,1),(28,1),(29,1),(352,1)}
        16:{1,2,6,7}:{(8,1),(30,1),(145,1),(171,1),(226,1),(242,1)}
        17:{1,4,6,7}:{(8,1),(9,1),(31,1),(33,1),(76,1),(256,1)}
        18:{1,3,5,7}:{(8,1),(10,1),(30,1),(31,1),(32,1),(33,1),(47,1),(74,1),(95,1)}
        19:{3,4,6,7}:{(9,1),(34,1),(38,1),(82,1),(86,1),(315,1),(317,1),(378,1)}
        20:{2,5,7}:{(9,1),(11,1),(31,1),(34,1),(35,1),(323,1)}
        21:{2,3,5,6}:{(10,1),(12,1),(32,1),(35,1),(37,1),(46,1),(86,1),(88,1),(94,1),(97,1),(140,1),(145,1),(148,1),(244,1),(245,1),(248,1),(316,1),(321,1),(323,1)}
        22:{2,4,7}:{(10,1),(13,1),(33,1),(37,1),(38,1),(378,1)}
        23:{1,5,6}:{(11,1),(35,1),(40,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(36,1),(40,1),(41,1),(42,1),(146,1)}
        25:{1,4,6}:{(12,1),(13,1),(37,1),(42,1),(313,1)}
        26:{1,3,4,7}:{(13,1),(15,1),(38,1),(41,1),(43,1),(44,1)}
        27:{1,2,4,5}:{(14,1),(42,1),(45,1),(97,1),(100,1),(174,1),(233,1),(247,1),(257,1),(260,1),(313,1)}
        28:{1,3,6}:{(14,1),(15,1),(45,1),(46,1),(321,1)}
        29:{2,3,7}:{(15,1),(44,1),(46,1),(47,1),(325,1)}
        30:{1,2,5,7}:{(16,1),(18,1),(48,1),(49,1),(72,1),(109,1),(266,1),(282,1)}
        31:{1,5,7}:{(17,1),(20,1),(50,1),(296,1)}
        32:{1,3,5,6}:{(18,1),(21,1),(48,1),(50,1),(52,1),(71,1),(104,1),(108,1),(110,1),(130,1),(133,1),(214,1),(218,1),(296,1)}
        33:{1,4,7}:{(18,1),(22,1),(52,1)}
        34:{3,5,7}:{(19,1),(20,1),(54,1),(55,1),(351,1)}
        35:{2,5,6}:{(20,1),(23,1),(50,1),(54,1),(57,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(24,1),(51,1),(55,1),(57,1),(58,1),(59,1),(65,1),(109,1)}
        37:{2,4,6}:{(21,1),(22,1),(25,1),(52,1),(59,1),(60,1),(288,1),(350,1)}
        38:{3,4,7}:{(22,1),(58,1),(60,1),(352,1)}
        39:{1,5,6,7}:{(23,1),(56,1),(62,1),(276,1),(361,1)}
        40:{1,4,6}:{(23,1),(24,1),(57,1),(64,1),(187,1)}
        41:{1,3,5,7}:{(24,1),(26,1),(58,1),(64,1),(65,1),(66,1)}
        42:{1,4,5}:{(25,1),(59,1),(66,1),(190,1),(344,1)}
        43:{1,3,4,6}:{(25,1),(26,1),(28,1),(60,1),(64,1),(66,1),(67,1),(69,1)}
        44:{2,4,7}:{(26,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(27,1),(28,1),(69,1),(70,1),(287,1),(300,1)}
        46:{2,3,6}:{(28,1),(29,1),(67,1),(70,1),(71,1),(293,1)}
        47:{1,3,7}:{(29,1),(68,1),(71,1),(72,1)}
        48:{1,2,5,6}:{(30,1),(32,1),(73,1),(102,1),(145,1),(148,1),(171,1),(175,1),(228,1),(244,1)}
        49:{1,2,4,7}:{(30,1),(33,1),(73,1),(74,1),(80,1),(304,1),(318,1),(368,1)}
        50:{1,5,6}:{(31,1),(35,1),(76,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(36,1),(76,1),(77,1),(78,1),(95,1)}
        52:{1,4,6}:{(32,1),(33,1),(37,1),(78,1),(259,1)}
        53:{1,3,4,7}:{(33,1),(38,1),(74,1),(77,1),(79,1),(80,1)}
        54:{3,5,6}:{(34,1),(35,1),(82,1),(86,1)}
        55:{4,5,7}:{(34,1),(82,1),(378,1),(380,1)}
        56:{2,5,6,7}:{(35,1),(39,1),(75,1),(81,1),(84,1),(235,1),(314,1),(383,1)}
        57:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(82,1),(86,1),(94,1),(145,1)}
        58:{3,5,7}:{(36,1),(38,1),(86,1),(88,1)}
        59:{2,4,5}:{(37,1),(42,1),(78,1),(88,1),(97,1),(148,1),(323,1),(380,1)}
        60:{3,4,6}:{(37,1),(38,1),(86,1),(88,1),(321,1),(324,1)}
        61:{2,3,4,7}:{(38,1),(44,1),(80,1),(87,1),(89,1),(90,1),(165,1),(240,1),(246,1),(249,1),(303,1),(381,1),(386,1),(410,1)}
        62:{1,4,6,7}:{(39,1),(40,1),(84,1),(91,1),(92,1),(226,1),(388,1)}
        63:{1,4,5,6}:{(40,1),(42,1),(85,1),(91,1),(93,1),(228,1),(237,1),(243,1),(332,1),(388,1)}
        64:{1,3,6}:{(40,1),(41,1),(86,1),(94,1)}
        65:{2,5,7}:{(41,1),(44,1),(94,1),(95,1),(97,1)}
        66:{1,3,5}:{(42,1),(43,1),(88,1),(97,1)}
        67:{2,4,6}:{(43,1),(44,1),(46,1),(94,1),(97,1),(98,1),(100,1)}
        68:{1,4,7}:{(44,1),(47,1),(95,1),(98,1)}
        69:{1,3,4}:{(45,1),(100,1),(313,1),(324,1)}
        70:{2,3,5}:{(45,1),(46,1),(97,1),(100,1),(101,1),(257,1),(261,1)}
        71:{1,3,6}:{(46,1),(47,1),(98,1),(101,1),(102,1)}
        72:{1,2,7}:{(47,1),(102,1),(325,1)}
        73:{1,2,4,6}:{(48,1),(49,1),(52,1),(103,1),(104,1),(111,1),(269,1),(284,1),(341,1)}
        74:{1,3,7}:{(49,1),(104,1),(105,1),(352,1)}
        75:{1,5,6,7}:{(50,1),(56,1),(106,1),(276,1),(396,1)}
        76:{1,4,6}:{(50,1),(51,1),(57,1),(108,1),(130,1)}
        77:{1,3,5,7}:{(51,1),(53,1),(58,1),(108,1),(109,1),(110,1)}
        78:{1,4,5}:{(52,1),(59,1),(110,1),(133,1),(296,1)}
        79:{1,3,4,6}:{(52,1),(53,1),(60,1),(104,1),(108,1),(110,1),(111,1),(179,1)}
        80:{2,4,7}:{(53,1),(105,1),(109,1),(111,1),(112,1)}
        81:{3,5,6,7}:{(54,1),(56,1),(113,1),(118,1),(193,1),(348,1),(402,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,4,5,7}:{(55,1),(58,1),(115,1),(116,1),(122,1),(193,1),(198,1),(280,1),(351,1),(401,1),(403,1)}
        84:{2,4,6,7}:{(56,1),(57,1),(62,1),(106,1),(113,1),(117,1),(118,1),(127,1),(184,1),(404,1)}
        85:{2,4,5,6}:{(57,1),(59,1),(63,1),(107,1),(114,1),(117,1),(119,1),(129,1),(186,1),(195,1),(201,1),(278,1),(284,1),(350,1),(356,1),(404,1)}
        86:{3,6}:{(57,1),(58,1)}
        87:{2,3,5,7}:{(58,1),(61,1),(65,1),(109,1),(116,1),(120,1),(121,1),(123,1),(403,1),(406,1),(420,1)}
        88:{3,5}:{(59,1),(60,1)}
        89:{2,3,4,6}:{(60,1),(61,1),(67,1),(111,1),(120,1),(123,1),(124,1),(136,1),(201,1),(207,1),(211,1),(262,1),(268,1),(286,1),(288,1),(355,1),(363,1),(398,1)}
        90:{1,3,4,7}:{(61,1),(68,1),(112,1),(121,1),(124,1),(125,1),(135,1),(192,1),(215,1),(272,1),(280,1),(281,1),(289,1),(337,1),(352,1),(405,1),(419,1)}
        91:{1,4,5,7}:{(62,1),(63,1),(117,1),(126,1),(266,1),(276,1),(281,1)}
        92:{1,3,6,7}:{(62,1),(64,1),(118,1),(126,1),(127,1),(407,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(66,1),(119,1),(126,1),(128,1),(129,1),(364,1),(407,1)}
        94:{2,6}:{(64,1),(65,1),(130,1)}
        95:{1,5,7}:{(65,1),(68,1),(130,1),(133,1)}
        96:{1,3,4,5}:{(66,1),(69,1),(122,1),(128,1),(132,1),(205,1),(216,1),(287,1),(299,1),(364,1)}
        97:{2,5}:{(66,1),(67,1),(133,1)}
        98:{1,4,6}:{(67,1),(68,1),(71,1),(130,1),(133,1),(137,1)}
        99:{1,2,4,7}:{(68,1),(72,1),(125,1),(131,1),(134,1),(135,1),(215,1),(392,1),(419,1)}
       100:{2,4}:{(69,1),(70,1),(137,1)}
       101:{1,3,5}:{(70,1),(71,1),(133,1),(137,1),(138,1),(220,1)}
       102:{1,2,6}:{(71,1),(72,1),(138,1),(293,1)}
       103:{1,2,4,5}:{(73,1),(78,1),(139,1),(148,1),(175,1),(221,1),(232,1),(247,1),(259,1),(311,1),(366,1)}
       104:{1,3,6}:{(73,1),(74,1),(139,1),(140,1),(321,1)}
       105:{2,3,7}:{(74,1),(80,1),(140,1),(141,1),(368,1)}
       106:{1,4,6,7}:{(75,1),(76,1),(84,1),(142,1),(143,1),(168,1),(412,1)}
       107:{1,4,5,6}:{(76,1),(78,1),(85,1),(142,1),(144,1),(170,1),(237,1),(243,1),(375,1),(412,1)}
       108:{1,3,6}:{(76,1),(77,1),(86,1),(145,1)}
       109:{2,5,7}:{(77,1),(80,1),(145,1),(146,1),(148,1)}
       110:{1,3,5}:{(78,1),(79,1),(88,1),(148,1)}
       111:{2,4,6}:{(79,1),(80,1),(140,1),(145,1),(148,1),(149,1),(221,1)}
       112:{1,4,7}:{(80,1),(141,1),(146,1),(149,1)}
       113:{4,6,7}:{(81,1),(82,1),(151,1),(378,1),(415,1)}
       114:{4,5,6}:{(82,1),(151,1),(153,1),(380,1),(415,1)}
       115:{3,4,6}:{(82,1),(83,1),(86,1),(153,1),(154,1),(415,1),(416,1)}
       116:{2,4,5,7}:{(83,1),(87,1),(154,1),(155,1),(162,1),(235,1),(240,1),(246,1),(323,1)}
       117:{2,4,5,7}:{(84,1),(85,1),(91,1),(142,1),(151,1),(156,1),(167,1),(225,1),(235,1),(240,1),(314,1),(318,1),(378,1)}
       118:{3,6,7}:{(84,1),(86,1),(156,1),(416,1)}
       119:{3,5,6}:{(85,1),(86,1),(88,1),(156,1),(158,1),(321,1),(384,1),(416,1)}
       120:{2,3,6}:{(86,1),(87,1),(94,1),(145,1),(154,1),(160,1),(416,1),(418,1),(425,1)}
       121:{1,3,5,7}:{(87,1),(90,1),(95,1),(146,1),(155,1),(160,1),(161,1),(163,1),(239,1),(417,1),(424,1)}
       122:{3,4,5}:{(88,1),(158,1),(162,1),(324,1),(380,1),(384,1)}
       123:{2,3,5}:{(88,1),(89,1),(97,1),(148,1),(162,1),(163,1),(323,1),(384,1),(390,1),(414,1)}
       124:{1,3,4,6}:{(89,1),(90,1),(98,1),(149,1),(160,1),(163,1),(164,1),(176,1),(177,1),(234,1),(243,1),(253,1),(256,1),(259,1),(301,1),(307,1),(310,1),(313,1),(317,1),(321,1),(324,1),(389,1),(413,1)}
       125:{2,4,7}:{(90,1),(161,1),(164,1),(165,1),(325,1),(368,1)}
       126:{1,3,5,7}:{(91,1),(92,1),(93,1),(156,1),(166,1),(167,1)}
       127:{2,6,7}:{(92,1),(94,1),(167,1),(168,1),(418,1)}
       128:{1,3,4,6}:{(93,1),(96,1),(158,1),(166,1),(169,1),(243,1),(253,1),(321,1)}
       129:{2,5,6}:{(93,1),(94,1),(97,1),(167,1),(169,1),(170,1),(390,1),(418,1)}
       130:{1,6}:{(94,1),(95,1)}
       131:{1,2,5,7}:{(95,1),(99,1),(161,1),(171,1),(172,1),(175,1),(424,1)}
       132:{2,4,5}:{(96,1),(97,1),(100,1),(169,1),(173,1),(174,1),(257,1),(334,1),(390,1)}
       133:{1,5}:{(97,1),(98,1)}
       134:{1,2,4,6}:{(98,1),(99,1),(102,1),(164,1),(171,1),(175,1),(176,1),(178,1),(256,1),(259,1),(366,1),(372,1),(413,1)}
       135:{1,3,7}:{(99,1),(165,1),(176,1)}
       136:{2,3,4}:{(100,1),(173,1),(177,1),(261,1),(324,1),(334,1)}
       137:{1,4}:{(100,1),(101,1)}
       138:{1,2,5}:{(101,1),(102,1),(178,1),(257,1)}
       139:{1,3,5}:{(103,1),(104,1),(179,1),(180,1),(287,1),(391,1)}
       140:{2,3,6}:{(104,1),(105,1),(111,1),(180,1),(181,1),(341,1)}
       141:{1,3,7}:{(105,1),(112,1),(181,1),(182,1)}
       142:{1,4,5,7}:{(106,1),(107,1),(117,1),(183,1),(209,1),(276,1),(281,1)}
       143:{1,3,6,7}:{(106,1),(108,1),(118,1),(183,1),(184,1),(421,1)}
       144:{1,3,5,6}:{(107,1),(108,1),(110,1),(119,1),(183,1),(185,1),(186,1),(399,1),(421,1)}
       145:{2,6}:{(108,1),(109,1),(187,1)}
       146:{1,5,7}:{(109,1),(112,1),(187,1),(190,1)}
       147:{1,3,4,5}:{(110,1),(122,1),(179,1),(185,1),(189,1),(205,1),(273,1),(287,1),(347,1),(399,1)}
       148:{2,5}:{(110,1),(111,1),(190,1)}
       149:{1,4,6}:{(111,1),(112,1),(181,1),(187,1),(190,1),(263,1)}
       150:{1,2,4,7}:{(112,1),(125,1),(182,1),(188,1),(191,1),(192,1),(272,1),(357,1),(405,1)}
       151:{4,5,7}:{(113,1),(114,1),(193,1)}
       152:{3,4,6,7}:{(113,1),(115,1),(118,1),(193,1),(194,1),(198,1)}
       153:{3,5,6}:{(114,1),(115,1),(193,1),(195,1),(351,1)}
       154:{2,4,6}:{(115,1),(116,1),(120,1),(195,1),(196,1)}
       155:{1,4,5,7}:{(116,1),(121,1),(196,1),(197,1),(205,1),(215,1),(272,1),(276,1),(281,1),(296,1),(344,1)}
       156:{3,5,7}:{(117,1),(118,1),(119,1),(198,1),(352,1)}
       157:{2,3,6,7}:{(118,1),(120,1),(127,1),(184,1),(194,1),(199,1),(200,1)}
       158:{3,4,6}:{(119,1),(122,1),(198,1),(201,1),(350,1)}
       159:{2,3,5,6}:{(119,1),(120,1),(123,1),(129,1),(186,1),(195,1),(199,1),(201,1),(202,1),(211,1),(268,1)}
       160:{1,3,6}:{(120,1),(121,1),(130,1),(187,1),(196,1),(203,1),(279,1),(423,1),(426,1)}
       161:{2,5,7}:{(121,1),(125,1),(203,1),(206,1)}
       162:{2,4,5}:{(122,1),(123,1),(201,1),(205,1),(288,1)}
       163:{1,3,5}:{(123,1),(124,1),(133,1),(190,1),(205,1),(206,1),(287,1),(296,1),(344,1),(351,1),(408,1),(422,1)}
       164:{2,4,6}:{(124,1),(125,1),(203,1),(206,1),(207,1),(219,1),(288,1),(293,1),(335,1),(341,1)}
       165:{2,3,7}:{(125,1),(135,1),(192,1),(207,1),(352,1)}
       166:{1,3,4,7}:{(126,1),(128,1),(198,1),(208,1),(281,1),(289,1),(352,1)}
       167:{2,5,7}:{(126,1),(127,1),(129,1),(208,1),(209,1)}
       168:{1,6,7}:{(127,1),(130,1),(209,1),(423,1)}
       169:{2,4,6}:{(128,1),(129,1),(132,1),(208,1),(211,1),(212,1),(293,1)}
       170:{1,5,6}:{(129,1),(130,1),(133,1),(209,1),(212,1),(408,1),(423,1)}
       171:{1,2,6}:{(130,1),(131,1),(203,1),(214,1),(426,1)}
       172:{1,3,5,7}:{(131,1),(135,1),(204,1),(214,1),(215,1),(218,1),(296,1)}
       173:{2,3,5}:{(132,1),(136,1),(211,1),(216,1),(287,1)}
       174:{1,4,5}:{(132,1),(133,1),(137,1),(212,1),(216,1),(365,1),(408,1)}
       175:{1,2,5}:{(133,1),(134,1),(206,1),(218,1),(296,1),(422,1)}
       176:{1,3,6}:{(134,1),(135,1),(207,1),(218,1),(220,1),(391,1)}
       177:{1,3,4}:{(136,1),(137,1),(216,1),(219,1),(220,1),(300,1),(365,1)}
       178:{1,2,4}:{(137,1),(138,1),(219,1),(220,1)}
       179:{1,3,4}:{(139,1),(221,1),(259,1),(324,1)}
       180:{2,3,5}:{(139,1),(140,1),(148,1),(221,1),(222,1),(311,1),(367,1)}
       181:{1,3,6}:{(140,1),(141,1),(149,1),(222,1),(223,1)}
       182:{1,2,7}:{(141,1),(223,1),(368,1)}
       183:{1,3,5,7}:{(142,1),(143,1),(144,1),(156,1),(224,1),(225,1)}
       184:{2,6,7}:{(143,1),(145,1),(225,1),(226,1),(425,1)}
       185:{1,3,4,6}:{(144,1),(147,1),(158,1),(224,1),(227,1),(243,1),(307,1),(321,1)}
       186:{2,5,6}:{(144,1),(145,1),(148,1),(225,1),(227,1),(228,1),(414,1),(425,1)}
       187:{1,6}:{(145,1),(146,1)}
       188:{1,2,5,7}:{(146,1),(150,1),(161,1),(229,1),(230,1),(233,1),(417,1)}
       189:{2,4,5}:{(147,1),(148,1),(221,1),(227,1),(231,1),(232,1),(311,1),(377,1),(414,1)}
       190:{1,5}:{(148,1),(149,1)}
       191:{1,2,4,6}:{(149,1),(150,1),(164,1),(223,1),(229,1),(233,1),(234,1),(260,1),(302,1),(310,1),(313,1),(329,1),(389,1)}
       192:{1,3,7}:{(150,1),(165,1),(234,1)}
       193:{3,5,7}:{(151,1),(152,1),(153,1),(235,1)}
       194:{2,4,6,7}:{(152,1),(154,1),(157,1),(235,1),(236,1),(240,1)}
       195:{2,5,6}:{(153,1),(154,1),(235,1),(237,1),(323,1)}
       196:{1,4,6}:{(154,1),(155,1),(160,1),(237,1),(238,1)}
       197:{2,4,5,7}:{(155,1),(161,1),(238,1),(239,1),(246,1),(247,1),(314,1),(318,1),(323,1),(378,1),(380,1)}
       198:{3,4,7}:{(156,1),(158,1),(240,1),(378,1)}
       199:{2,3,5,7}:{(156,1),(157,1),(159,1),(167,1),(225,1),(235,1),(240,1),(241,1),(249,1),(303,1)}
       200:{1,3,6,7}:{(157,1),(160,1),(168,1),(226,1),(236,1),(241,1),(242,1),(315,1)}
       201:{2,4,6}:{(158,1),(159,1),(162,1),(240,1),(243,1)}
       202:{1,3,5,6}:{(159,1),(160,1),(163,1),(170,1),(228,1),(237,1),(241,1),(243,1),(244,1),(253,1),(307,1),(316,1),(321,1)}
       203:{2,6}:{(160,1),(161,1)}
       204:{2,3,5,7}:{(161,1),(165,1),(172,1),(230,1),(239,1),(245,1),(246,1),(248,1),(323,1)}
       205:{1,4,5}:{(162,1),(163,1),(243,1),(247,1),(259,1),(313,1),(380,1)}
       206:{2,5}:{(163,1),(164,1)}
       207:{2,3,6}:{(164,1),(165,1),(176,1),(234,1),(248,1),(261,1),(321,1),(367,1)}
       208:{2,4,7}:{(166,1),(167,1),(169,1),(249,1),(250,1),(325,1)}
       209:{1,5,7}:{(167,1),(168,1),(170,1),(250,1)}
       210:{1,2,6,7}:{(168,1),(171,1),(242,1),(251,1),(252,1),(418,1)}
       211:{2,3,6}:{(169,1),(173,1),(249,1),(253,1),(321,1)}
       212:{1,4,6}:{(169,1),(170,1),(174,1),(250,1),(253,1)}
       213:{1,2,5,6}:{(170,1),(171,1),(175,1),(244,1),(251,1),(254,1),(255,1),(372,1),(390,1),(418,1)}
       214:{1,3,6}:{(171,1),(172,1),(245,1),(256,1)}
       215:{1,4,7}:{(172,1),(246,1),(256,1),(259,1)}
       216:{1,3,5}:{(173,1),(174,1),(177,1),(253,1),(257,1)}
       217:{1,2,4,5}:{(174,1),(175,1),(178,1),(247,1),(254,1),(257,1),(258,1),(259,1),(332,1),(334,1),(390,1)}
       218:{1,3,5}:{(175,1),(176,1),(248,1),(259,1)}
       219:{2,4}:{(177,1),(257,1),(261,1)}
       220:{1,3}:{(178,1),(261,1)}
       221:{2,4}:{(179,1),(180,1),(263,1)}
       222:{1,3,5}:{(180,1),(181,1),(190,1),(263,1),(264,1),(336,1)}
       223:{1,2,6}:{(181,1),(182,1),(264,1),(341,1)}
       224:{1,3,4,7}:{(183,1),(185,1),(198,1),(265,1),(281,1),(337,1),(352,1)}
       225:{2,5,7}:{(183,1),(184,1),(186,1),(265,1),(266,1)}
       226:{1,6,7}:{(184,1),(187,1),(266,1),(426,1)}
       227:{2,4,6}:{(185,1),(186,1),(189,1),(265,1),(268,1),(269,1),(341,1)}
       228:{1,5,6}:{(186,1),(187,1),(190,1),(266,1),(269,1),(422,1),(426,1)}
       229:{1,2,6}:{(187,1),(188,1),(203,1),(271,1),(423,1)}
       230:{1,3,5,7}:{(188,1),(192,1),(204,1),(271,1),(272,1),(275,1),(344,1)}
       231:{2,3,5}:{(189,1),(262,1),(268,1),(273,1),(287,1)}
       232:{1,4,5}:{(189,1),(190,1),(263,1),(269,1),(273,1),(400,1),(422,1)}
       233:{1,2,5}:{(190,1),(191,1),(206,1),(275,1),(344,1),(408,1)}
       234:{1,3,6}:{(191,1),(192,1),(207,1),(275,1),(300,1),(336,1)}
       235:{2,5,7}:{(193,1),(194,1),(195,1),(276,1)}
       236:{1,4,6,7}:{(194,1),(196,1),(200,1),(276,1),(277,1),(281,1)}
       237:{1,5,6}:{(195,1),(196,1),(276,1),(278,1),(296,1),(344,1)}
       238:{2,4,6}:{(196,1),(197,1),(203,1),(278,1),(279,1),(350,1)}
       239:{3,5,7}:{(197,1),(279,1),(280,1),(287,1),(351,1),(352,1)}
       240:{2,4,7}:{(198,1),(199,1),(201,1),(281,1)}
       241:{1,3,5,7}:{(199,1),(200,1),(202,1),(209,1),(266,1),(276,1),(281,1),(282,1),(289,1),(337,1),(348,1),(352,1)}
       242:{2,6,7}:{(200,1),(203,1),(282,1)}
       243:{1,4,6}:{(201,1),(202,1),(205,1),(281,1),(284,1),(350,1)}
       244:{2,5,6}:{(202,1),(203,1),(206,1),(282,1),(284,1),(293,1),(341,1)}
       245:{2,3,6}:{(203,1),(204,1),(214,1),(271,1),(279,1),(286,1)}
       246:{2,4,7}:{(204,1),(215,1),(272,1),(280,1),(286,1),(288,1)}
       247:{2,4,5}:{(205,1),(206,1),(284,1),(287,1),(288,1)}
       248:{2,3,5}:{(206,1),(207,1),(218,1),(275,1),(287,1),(288,1)}
       249:{2,3,7}:{(208,1),(211,1),(289,1),(352,1)}
       250:{1,4,7}:{(208,1),(209,1),(212,1),(289,1)}
       251:{1,2,5,7}:{(209,1),(210,1),(213,1),(282,1),(290,1),(291,1),(392,1),(406,1)}
       252:{1,3,6,7}:{(210,1),(214,1),(283,1),(291,1),(292,1),(407,1),(426,1)}
       253:{1,3,6}:{(211,1),(212,1),(216,1),(289,1),(293,1)}
       254:{1,2,4,6}:{(212,1),(213,1),(217,1),(284,1),(290,1),(293,1),(294,1),(295,1),(363,1)}
       255:{1,3,5,6}:{(213,1),(214,1),(218,1),(285,1),(291,1),(294,1),(295,1),(296,1),(361,1),(364,1),(397,1),(407,1),(422,1),(426,1)}
       256:{1,4,6}:{(214,1),(215,1),(286,1),(296,1)}
       257:{2,5}:{(216,1),(219,1),(293,1)}
       258:{1,3,5}:{(217,1),(220,1),(287,1),(294,1),(298,1),(299,1)}
       259:{1,4}:{(218,1),(288,1)}
       260:{1,2,4}:{(219,1),(297,1),(300,1),(365,1)}
       261:{2,3}:{(219,1),(220,1),(300,1)}
       262:{2,3,4}:{(221,1),(231,1),(301,1),(324,1),(367,1),(377,1)}
       263:{1,4}:{(221,1),(222,1)}
       264:{1,2,5}:{(222,1),(223,1),(302,1),(311,1)}
       265:{2,4,7}:{(224,1),(225,1),(227,1),(303,1),(304,1),(368,1)}
       266:{1,5,7}:{(225,1),(226,1),(228,1),(304,1)}
       267:{1,2,6,7}:{(226,1),(229,1),(242,1),(305,1),(306,1),(425,1)}
       268:{2,3,6}:{(227,1),(231,1),(303,1),(307,1),(321,1)}
       269:{1,4,6}:{(227,1),(228,1),(232,1),(304,1),(307,1)}
       270:{1,2,5,6}:{(228,1),(229,1),(233,1),(244,1),(305,1),(308,1),(309,1),(329,1),(414,1),(425,1)}
       271:{1,3,6}:{(229,1),(230,1),(245,1),(310,1)}
       272:{1,4,7}:{(230,1),(246,1),(310,1),(313,1)}
       273:{1,3,5}:{(231,1),(232,1),(301,1),(307,1),(311,1)}
       274:{1,2,4,5}:{(232,1),(233,1),(247,1),(302,1),(308,1),(311,1),(312,1),(313,1),(375,1),(377,1),(414,1)}
       275:{1,3,5}:{(233,1),(234,1),(248,1),(313,1)}
       276:{1,5,7}:{(235,1),(236,1),(237,1),(314,1)}
       277:{2,4,6,7}:{(236,1),(238,1),(242,1),(314,1),(315,1),(318,1),(378,1)}
       278:{2,5,6}:{(237,1),(238,1),(314,1),(316,1),(323,1)}
       279:{3,6}:{(238,1),(239,1)}
       280:{3,4,7}:{(239,1),(246,1),(317,1),(324,1),(378,1)}
       281:{1,4,7}:{(240,1),(241,1),(243,1),(318,1),(378,1)}
       282:{2,5,7}:{(241,1),(242,1),(244,1),(318,1),(325,1),(368,1)}
       283:{2,3,6,7}:{(242,1),(245,1),(252,1),(306,1),(315,1),(319,1),(320,1),(416,1),(418,1),(425,1)}
       284:{2,4,6}:{(243,1),(244,1),(247,1),(318,1),(321,1)}
       285:{2,3,5,6}:{(244,1),(245,1),(248,1),(255,1),(309,1),(316,1),(319,1),(321,1),(322,1),(323,1),(330,1),(373,1),(383,1),(384,1),(390,1),(414,1),(416,1),(418,1),(425,1)}
       286:{2,4,6}:{(245,1),(246,1),(256,1),(310,1),(317,1),(323,1)}
       287:{3,5}:{(247,1),(321,1),(324,1)}
       288:{2,4}:{(248,1),(259,1),(313,1),(324,1)}
       289:{1,3,7}:{(249,1),(250,1),(253,1),(325,1)}
       290:{1,2,4,7}:{(250,1),(251,1),(254,1),(318,1),(325,1),(326,1),(327,1),(386,1)}
       291:{1,3,5,7}:{(251,1),(252,1),(255,1),(319,1),(326,1),(327,1),(328,1),(409,1),(424,1)}
       292:{1,4,6,7}:{(252,1),(256,1),(320,1),(327,1),(328,1),(388,1)}
       293:{2,6}:{(253,1),(257,1),(325,1)}
       294:{1,3,6}:{(254,1),(258,1),(321,1),(326,1),(330,1)}
       295:{1,4,6}:{(255,1),(259,1),(322,1),(327,1),(332,1)}
       296:{1,5}:{(256,1),(323,1)}
       297:{1,2,5}:{(257,1),(260,1),(329,1),(333,1)}
       298:{2,3,5}:{(257,1),(258,1),(261,1),(330,1),(333,1),(334,1),(390,1)}
       299:{1,3,4}:{(258,1),(259,1),(324,1),(334,1)}
       300:{1,3}:{(260,1),(261,1)}
       301:{1,3,4}:{(262,1),(263,1),(273,1),(335,1),(336,1),(391,1),(400,1)}
       302:{1,2,4}:{(263,1),(264,1),(335,1),(336,1)}
       303:{2,3,7}:{(265,1),(268,1),(337,1),(352,1)}
       304:{1,4,7}:{(265,1),(266,1),(269,1),(337,1)}
       305:{1,2,5,7}:{(266,1),(267,1),(270,1),(282,1),(338,1),(339,1),(357,1),(420,1)}
       306:{1,3,6,7}:{(267,1),(271,1),(283,1),(339,1),(340,1),(421,1),(423,1)}
       307:{1,3,6}:{(268,1),(269,1),(273,1),(337,1),(341,1)}
       308:{1,2,4,6}:{(269,1),(270,1),(274,1),(284,1),(338,1),(341,1),(342,1),(343,1),(398,1)}
       309:{1,3,5,6}:{(270,1),(271,1),(275,1),(285,1),(339,1),(342,1),(343,1),(344,1),(362,1),(396,1),(399,1),(408,1),(421,1),(423,1)}
       310:{1,4,6}:{(271,1),(272,1),(286,1),(344,1)}
       311:{2,5}:{(273,1),(335,1),(341,1)}
       312:{1,3,5}:{(274,1),(287,1),(336,1),(342,1),(346,1),(347,1)}
       313:{1,4}:{(275,1),(288,1)}
       314:{2,5,7}:{(276,1),(277,1),(278,1),(348,1)}
       315:{3,6,7}:{(277,1),(279,1),(348,1),(352,1)}
       316:{3,5,6}:{(278,1),(279,1),(348,1),(350,1),(351,1)}
       317:{3,4,6}:{(279,1),(280,1),(286,1),(350,1),(351,1)}
       318:{2,4,7}:{(281,1),(282,1),(284,1),(352,1)}
       319:{2,3,5,7}:{(282,1),(283,1),(285,1),(291,1),(339,1),(348,1),(352,1),(353,1),(354,1),(358,1),(393,1),(403,1),(406,1),(420,1)}
       320:{2,4,6,7}:{(283,1),(286,1),(292,1),(340,1),(349,1),(353,1),(354,1),(404,1)}
       321:{3,6}:{(284,1),(287,1),(352,1)}
       322:{2,4,6}:{(285,1),(288,1),(295,1),(343,1),(350,1),(353,1),(355,1),(356,1)}
       323:{2,5}:{(286,1),(296,1),(344,1),(351,1)}
       324:{3,4}:{(287,1),(288,1)}
       325:{2,7}:{(289,1),(293,1)}
       326:{1,3,7}:{(290,1),(294,1),(352,1),(358,1)}
       327:{1,4,7}:{(291,1),(295,1),(353,1)}
       328:{1,5,7}:{(292,1),(296,1),(354,1),(361,1)}
       329:{1,2,6}:{(293,1),(297,1),(357,1),(362,1)}
       330:{2,3,6}:{(293,1),(294,1),(298,1),(358,1),(362,1),(363,1)}
       331:{1,3,4,6}:{(294,1),(295,1),(299,1),(355,1),(359,1),(363,1),(364,1),(407,1)}
       332:{1,4,5}:{(295,1),(296,1),(356,1),(364,1),(422,1)}
       333:{1,3,5}:{(297,1),(298,1),(300,1),(362,1),(365,1),(408,1)}
       334:{2,4}:{(298,1),(299,1),(365,1)}
       335:{2,4}:{(301,1),(311,1),(367,1)}
       336:{1,3}:{(302,1),(367,1)}
       337:{1,3,7}:{(303,1),(304,1),(307,1),(368,1)}
       338:{1,2,4,7}:{(304,1),(305,1),(308,1),(318,1),(368,1),(369,1),(370,1),(410,1)}
       339:{1,3,5,7}:{(305,1),(306,1),(309,1),(319,1),(369,1),(370,1),(371,1),(385,1),(417,1)}
       340:{1,4,6,7}:{(306,1),(310,1),(320,1),(370,1),(371,1),(412,1)}
       341:{2,6}:{(307,1),(311,1),(368,1)}
       342:{1,3,6}:{(308,1),(312,1),(321,1),(369,1),(373,1)}
       343:{1,4,6}:{(309,1),(313,1),(322,1),(370,1),(375,1)}
       344:{1,5}:{(310,1),(323,1)}
       345:{1,2,5}:{(311,1),(366,1),(372,1),(376,1)}
       346:{2,3,5}:{(311,1),(312,1),(367,1),(373,1),(376,1),(377,1),(414,1)}
       347:{1,3,4}:{(312,1),(313,1),(324,1),(377,1)}
       348:{3,5,7}:{(314,1),(315,1),(316,1),(378,1)}
       349:{3,4,6,7}:{(315,1),(317,1),(320,1),(378,1),(379,1),(381,1),(415,1),(416,1)}
       350:{4,6}:{(316,1),(378,1),(380,1)}
       351:{3,5}:{(317,1),(323,1),(380,1)}
       352:{3,7}:{(318,1),(321,1)}
       353:{2,4,7}:{(319,1),(322,1),(327,1),(370,1),(378,1),(381,1)}
       354:{2,5,7}:{(320,1),(323,1),(328,1),(371,1),(379,1),(383,1)}
       355:{3,4,6}:{(321,1),(322,1),(324,1),(381,1),(384,1),(416,1)}
       356:{2,4,5}:{(322,1),(323,1),(332,1),(375,1),(380,1),(384,1),(390,1),(414,1)}
       357:{1,2,7}:{(325,1),(329,1),(385,1)}
       358:{2,3,7}:{(325,1),(326,1),(330,1),(385,1),(386,1)}
       359:{1,3,4,7}:{(326,1),(327,1),(331,1),(381,1),(386,1),(387,1)}
       360:{1,4,5,7}:{(327,1),(328,1),(332,1),(382,1),(387,1),(388,1),(424,1)}
       361:{1,5,6}:{(328,1),(383,1),(388,1)}
       362:{1,3,6}:{(329,1),(330,1),(333,1),(385,1),(389,1)}
       363:{2,4,6}:{(330,1),(331,1),(334,1),(386,1),(389,1),(390,1),(418,1)}
       364:{1,3,5}:{(331,1),(332,1),(384,1),(390,1)}
       365:{1,4}:{(333,1),(334,1)}
       366:{1,2,4}:{(335,1),(345,1),(391,1),(400,1)}
       367:{2,3}:{(335,1),(336,1),(391,1)}
       368:{2,7}:{(337,1),(341,1)}
       369:{1,3,7}:{(338,1),(342,1),(352,1),(393,1)}
       370:{1,4,7}:{(339,1),(343,1),(353,1)}
       371:{1,5,7}:{(340,1),(344,1),(354,1),(396,1)}
       372:{1,2,6}:{(341,1),(345,1),(392,1),(397,1)}
       373:{2,3,6}:{(341,1),(342,1),(346,1),(393,1),(397,1),(398,1)}
       374:{1,3,4,6}:{(342,1),(343,1),(347,1),(355,1),(394,1),(398,1),(399,1),(421,1)}
       375:{1,4,5}:{(343,1),(344,1),(356,1),(399,1),(408,1)}
       376:{1,3,5}:{(345,1),(346,1),(391,1),(397,1),(400,1),(422,1)}
       377:{2,4}:{(346,1),(347,1),(400,1)}
       378:{4,7}:{(348,1),(350,1)}
       379:{3,5,7}:{(349,1),(351,1),(354,1),(401,1),(402,1)}
       380:{4,5}:{(350,1),(351,1)}
       381:{3,4,7}:{(352,1),(353,1),(355,1),(403,1)}
       382:{2,4,5,7}:{(353,1),(354,1),(356,1),(360,1),(395,1),(401,1),(403,1),(404,1),(406,1),(420,1)}
       383:{2,5,6}:{(354,1),(361,1),(396,1),(402,1),(404,1)}
       384:{3,5}:{(355,1),(356,1)}
       385:{1,3,7}:{(357,1),(358,1),(362,1),(405,1)}
       386:{2,4,7}:{(358,1),(359,1),(363,1),(405,1),(406,1)}
       387:{1,3,5,7}:{(359,1),(360,1),(364,1),(403,1),(406,1),(407,1)}
       388:{1,4,6}:{(360,1),(361,1),(404,1),(407,1),(426,1)}
       389:{1,4,6}:{(362,1),(363,1),(365,1),(405,1),(408,1),(423,1)}
       390:{2,5}:{(363,1),(364,1),(408,1)}
       391:{1,3}:{(366,1),(367,1)}
       392:{1,2,7}:{(368,1),(372,1),(409,1)}
       393:{2,3,7}:{(368,1),(369,1),(373,1),(409,1),(410,1)}
       394:{1,3,4,7}:{(369,1),(370,1),(374,1),(381,1),(410,1),(411,1)}
       395:{1,4,5,7}:{(370,1),(371,1),(375,1),(382,1),(411,1),(412,1),(417,1)}
       396:{1,5,6}:{(371,1),(383,1),(412,1)}
       397:{1,3,6}:{(372,1),(373,1),(376,1),(409,1),(413,1)}
       398:{2,4,6}:{(373,1),(374,1),(377,1),(410,1),(413,1),(414,1),(425,1)}
       399:{1,3,5}:{(374,1),(375,1),(384,1),(414,1)}
       400:{1,4}:{(376,1),(377,1)}
       401:{4,5,7}:{(378,1),(379,1),(380,1),(415,1)}
       402:{3,5,6}:{(379,1),(383,1),(415,1),(416,1)}
       403:{3,5,7}:{(381,1),(382,1),(384,1),(416,1)}
       404:{2,4,6}:{(382,1),(383,1),(388,1),(412,1),(415,1),(416,1),(418,1),(425,1)}
       405:{1,4,7}:{(385,1),(386,1),(389,1),(417,1)}
       406:{2,5,7}:{(386,1),(387,1),(390,1),(417,1),(418,1)}
       407:{1,3,6}:{(387,1),(388,1),(416,1),(418,1)}
       408:{1,5}:{(389,1),(390,1)}
       409:{1,3,7}:{(392,1),(393,1),(397,1),(419,1)}
       410:{2,4,7}:{(393,1),(394,1),(398,1),(419,1),(420,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(399,1),(403,1),(420,1),(421,1)}
       412:{1,4,6}:{(395,1),(396,1),(404,1),(421,1),(423,1)}
       413:{1,4,6}:{(397,1),(398,1),(400,1),(419,1),(422,1),(426,1)}
       414:{2,5}:{(398,1),(399,1),(422,1)}
       415:{4,6}:{(401,1),(402,1)}
       416:{3,6}:{(403,1),(404,1)}
       417:{1,5,7}:{(405,1),(406,1),(408,1),(423,1)}
       418:{2,6}:{(406,1),(407,1),(423,1)}
       419:{1,4,7}:{(409,1),(410,1),(413,1),(424,1)}
       420:{2,5,7}:{(410,1),(411,1),(414,1),(424,1),(425,1)}
       421:{1,3,6}:{(411,1),(412,1),(416,1),(425,1)}
       422:{1,5}:{(413,1),(414,1)}
       423:{1,6}:{(417,1),(418,1)}
       424:{1,5,7}:{(419,1),(420,1),(422,1),(426,1)}
       425:{2,6}:{(420,1),(421,1),(426,1)}
       426:{1,6}:{(424,1),(425,1)}

 196 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 197 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 198 :   0:{1,4,5}:{(2,1),(3,1),(4,1),(44,1),(48,1),(78,1)}
         1:{1,3,4}:{(3,1),(5,1),(17,1),(22,1),(48,1),(76,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(10,1),(28,1),(32,1),(64,1),(66,1),(68,1),(87,1),(98,1)}
         3:{1,3,5}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
         4:{1,4,6}:{(0,1),(8,1),(11,1),(12,1),(13,1),(61,1)}
         5:{2,4}:{(1,1),(9,1),(10,1),(14,1),(39,1)}
         6:{1,4,5}:{(2,1),(15,1),(16,1),(23,1),(48,1),(78,1)}
         7:{3,5}:{(2,1),(17,1),(19,1),(76,1)}
         8:{2,4,6}:{(2,1),(4,1),(16,1),(19,1),(20,1),(21,1),(24,1),(45,1),(55,1)}
         9:{2,3}:{(5,1),(22,1),(76,1)}
        10:{2,5}:{(3,1),(5,1),(23,1),(24,1)}
        11:{1,3,6}:{(3,1),(4,1),(19,1),(24,1),(25,1)}
        12:{1,5,6}:{(4,1),(20,1),(26,1),(78,1),(96,1)}
        13:{1,4,7}:{(4,1),(21,1),(25,1),(26,1),(75,1)}
        14:{1,4}:{(5,1),(22,1),(23,1)}
        15:{1,3,5}:{(6,1),(7,1),(27,1),(28,1),(29,1)}
        16:{1,4,6}:{(6,1),(8,1),(29,1),(30,1),(31,1),(40,1)}
        17:{3,4}:{(7,1),(32,1),(98,1)}
        18:{2,3,5}:{(7,1),(9,1),(10,1),(28,1),(32,1),(34,1),(35,1),(59,1),(66,1)}
        19:{3,6}:{(7,1),(8,1),(37,1)}
        20:{2,5,6}:{(8,1),(12,1),(30,1),(36,1),(38,1),(66,1),(87,1),(90,1),(100,1)}
        21:{2,4,7}:{(8,1),(13,1),(31,1),(37,1),(38,1),(41,1),(62,1),(72,1)}
        22:{1,3}:{(9,1),(14,1),(39,1)}
        23:{1,5}:{(10,1),(14,1),(40,1)}
        24:{2,6}:{(10,1),(11,1),(40,1),(41,1)}
        25:{1,3,7}:{(11,1),(13,1),(37,1),(41,1)}
        26:{1,5,7}:{(12,1),(13,1),(38,1),(42,1)}
        27:{1,3,4}:{(15,1),(17,1),(43,1),(48,1),(74,1),(76,1)}
        28:{2,5}:{(15,1),(43,1),(44,1),(45,1)}
        29:{1,3,6}:{(15,1),(16,1),(19,1),(45,1),(46,1)}
        30:{1,5,6}:{(16,1),(20,1),(47,1),(78,1),(96,1)}
        31:{1,4,7}:{(16,1),(21,1),(46,1),(47,1),(58,1)}
        32:{2,4}:{(17,1),(18,1),(48,1)}
        33:{3,4,6}:{(17,1),(19,1),(49,1),(50,1),(51,1),(55,1),(82,1)}
        34:{1,3,5}:{(18,1),(22,1),(23,1),(44,1),(48,1),(52,1),(53,1),(74,1),(76,1),(78,1),(93,1)}
        35:{2,3,6}:{(18,1),(19,1),(24,1),(45,1),(49,1),(53,1),(54,1)}
        36:{3,5,6}:{(19,1),(20,1),(50,1),(55,1),(56,1),(82,1),(93,1),(97,1),(102,1),(104,1)}
        37:{3,7}:{(19,1),(21,1)}
        38:{2,5,7}:{(20,1),(21,1),(26,1),(47,1),(56,1),(57,1)}
        39:{2}:{(22,1)}
        40:{1,6}:{(23,1),(24,1),(58,1)}
        41:{2,7}:{(24,1),(25,1),(58,1)}
        42:{1,6,7}:{(26,1),(57,1),(96,1)}
        43:{2,4}:{(27,1),(28,1),(59,1),(60,1),(85,1)}
        44:{1,5}:{(28,1),(60,1),(61,1)}
        45:{2,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,7}:{(29,1),(31,1),(37,1),(62,1)}
        47:{1,5,7}:{(30,1),(31,1),(38,1),(63,1)}
        48:{1,4}:{(32,1),(34,1),(64,1),(98,1)}
        49:{2,4,6}:{(32,1),(33,1),(35,1),(65,1),(66,1),(67,1),(90,1)}
        50:{3,5}:{(33,1),(66,1),(68,1)}
        51:{3,4,7}:{(33,1),(37,1),(67,1),(69,1),(72,1)}
        52:{2,5}:{(34,1),(39,1),(64,1),(70,1),(85,1)}
        53:{1,3,6}:{(34,1),(35,1),(40,1),(61,1),(65,1),(70,1),(71,1),(86,1)}
        54:{2,3,7}:{(35,1),(37,1),(41,1),(62,1),(67,1),(71,1)}
        55:{4,6}:{(36,1),(68,1),(72,1),(98,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(72,1),(73,1),(92,1)}
        57:{2,6,7}:{(38,1),(42,1),(63,1),(73,1),(90,1),(100,1)}
        58:{1,7}:{(40,1),(41,1)}
        59:{2,3}:{(43,1),(74,1),(76,1)}
        60:{1,4}:{(43,1),(44,1),(74,1)}
        61:{1,6}:{(44,1),(45,1),(75,1)}
        62:{2,7}:{(45,1),(46,1),(75,1)}
        63:{1,6,7}:{(47,1),(57,1),(96,1)}
        64:{2,4}:{(48,1),(52,1),(76,1)}
        65:{1,4,6}:{(48,1),(49,1),(53,1),(77,1),(78,1),(79,1),(96,1)}
        66:{2,5}:{(49,1),(50,1),(78,1)}
        67:{2,4,7}:{(49,1),(51,1),(54,1),(79,1),(80,1)}
        68:{4,5}:{(50,1),(55,1),(104,1)}
        69:{3,5,7}:{(50,1),(51,1),(80,1),(81,1),(82,1)}
        70:{2,6}:{(52,1),(53,1),(83,1)}
        71:{1,3,7}:{(53,1),(54,1),(58,1),(75,1),(79,1),(83,1),(94,1)}
        72:{4,7}:{(55,1),(56,1)}
        73:{3,6,7}:{(56,1),(57,1),(82,1),(84,1),(102,1)}
        74:{1,3}:{(59,1),(60,1),(85,1)}
        75:{1,7}:{(61,1),(62,1)}
        76:{3}:{(64,1)}
        77:{2,4,6}:{(64,1),(65,1),(70,1),(86,1),(87,1),(88,1),(98,1),(100,1),(103,1)}
        78:{1,5}:{(65,1),(66,1),(87,1)}
        79:{1,4,7}:{(65,1),(67,1),(71,1),(88,1),(89,1)}
        80:{2,5,7}:{(66,1),(67,1),(69,1),(89,1),(90,1)}
        81:{4,5,7}:{(68,1),(69,1),(72,1),(91,1),(92,1)}
        82:{3,6}:{(69,1),(90,1),(91,1)}
        83:{2,7}:{(70,1),(71,1)}
        84:{4,6,7}:{(72,1),(73,1),(91,1),(92,1),(103,1)}
        85:{2}:{(74,1)}
        86:{3,6}:{(76,1),(77,1),(93,1),(94,1)}
        87:{2,5}:{(77,1),(78,1),(93,1),(104,1)}
        88:{2,4,7}:{(77,1),(79,1),(83,1),(94,1),(95,1),(101,1)}
        89:{1,5,7}:{(78,1),(79,1),(80,1),(95,1),(96,1)}
        90:{2,6}:{(80,1),(82,1),(96,1)}
        91:{4,6}:{(81,1),(82,1),(97,1)}
        92:{5,7}:{(84,1),(97,1),(104,1)}
        93:{3,5}:{(86,1),(87,1),(98,1)}
        94:{3,7}:{(86,1),(88,1)}
        95:{2,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1)}
        96:{1,6}:{(89,1),(90,1),(100,1)}
        97:{5,6}:{(91,1),(92,1)}
        98:{4}:{(93,1)}
        99:{3,5,7}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 199 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 200 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 201 :   0:{1,3,6,7}:{(1,1),(2,1),(3,1),(12,1),(47,1),(114,1)}
         1:{2,6,7}:{(0,1),(4,1),(6,1),(68,1),(132,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(7,1),(9,1),(29,1),(52,1),(94,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(9,1),(24,1),(28,1)}
         4:{1,6,7}:{(1,1),(11,1),(91,1),(146,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(15,1),(34,1),(41,1),(42,1),(74,1)}
         6:{2,5,7}:{(1,1),(3,1),(11,1),(14,1),(15,1)}
         7:{1,5,7}:{(2,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(16,1),(18,1),(40,1),(45,1),(47,1),(49,1)}
         9:{1,4,7}:{(3,1),(15,1),(18,1),(41,1),(81,1)}
        10:{1,4,6,7}:{(4,1),(5,1),(20,1),(21,1),(23,1),(55,1),(56,1)}
        11:{1,5,7}:{(4,1),(6,1),(22,1),(23,1)}
        12:{3,6,7}:{(5,1),(24,1),(28,1),(63,1),(96,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(8,1),(22,1),(27,1),(68,1),(70,1)}
        15:{2,4,7}:{(6,1),(9,1),(23,1),(27,1),(28,1),(60,1)}
        16:{1,5,6}:{(7,1),(25,1),(29,1),(140,1)}
        17:{1,4,5,7}:{(7,1),(9,1),(26,1),(29,1),(30,1),(31,1),(94,1),(101,1),(107,1),(130,1),(140,1)}
        18:{1,4,6}:{(8,1),(9,1),(27,1),(31,1),(61,1),(104,1)}
        19:{1,3,4,7}:{(9,1),(28,1),(30,1),(32,1),(33,1),(62,1),(67,1),(107,1),(142,1),(156,1)}
        20:{1,3,6,7}:{(10,1),(12,1),(34,1),(35,1),(39,1),(77,1)}
        21:{1,5,7}:{(10,1),(13,1),(36,1)}
        22:{1,5,6}:{(11,1),(14,1),(38,1),(91,1),(92,1)}
        23:{1,4,7}:{(11,1),(15,1),(38,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(40,1),(42,1),(124,1),(153,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(41,1),(42,1),(43,1),(44,1),(48,1),(74,1),(78,1),(82,1),(84,1),(115,1),(124,1),(126,1),(153,1),(168,1)}
        27:{2,4,6}:{(14,1),(15,1),(18,1),(38,1),(44,1),(45,1),(80,1)}
        28:{3,7}:{(15,1),(45,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(47,1),(121,1)}
        30:{1,3,5,7}:{(17,1),(19,1),(43,1),(47,1),(48,1),(49,1),(114,1),(144,1)}
        31:{1,4,5}:{(18,1),(44,1),(49,1),(82,1),(123,1),(128,1),(168,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(47,1),(49,1),(50,1),(83,1),(87,1),(89,1),(125,1),(128,1),(154,1),(155,1),(168,1)}
        33:{2,4,7}:{(19,1),(46,1),(48,1),(50,1),(51,1),(90,1),(164,1)}
        34:{2,6,7}:{(20,1),(52,1),(53,1),(60,1),(100,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(24,1),(53,1),(54,1),(55,1),(96,1)}
        36:{1,5,6}:{(21,1),(25,1),(56,1),(140,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(69,1),(97,1),(107,1),(140,1)}
        38:{1,4,6}:{(22,1),(23,1),(27,1),(58,1),(59,1)}
        39:{1,3,7}:{(23,1),(28,1),(59,1),(60,1)}
        40:{3,5,6}:{(24,1),(25,1),(61,1),(63,1),(105,1),(163,1)}
        41:{4,7}:{(24,1),(61,1)}
        42:{2,4,6}:{(25,1),(26,1),(29,1),(56,1),(61,1),(63,1),(68,1),(100,1)}
        43:{3,5,7}:{(26,1),(28,1),(62,1),(63,1),(65,1),(96,1),(105,1),(133,1),(142,1),(163,1)}
        44:{2,4,5}:{(27,1),(31,1),(58,1),(65,1),(70,1),(103,1),(110,1),(143,1)}
        45:{3,6}:{(27,1),(28,1),(65,1)}
        46:{2,3,7}:{(28,1),(33,1),(60,1),(66,1),(67,1),(142,1),(169,1)}
        47:{1,3,6}:{(29,1),(30,1),(63,1),(68,1)}
        48:{2,5,7}:{(30,1),(33,1),(68,1),(69,1),(70,1),(132,1),(157,1)}
        49:{1,3,5}:{(31,1),(32,1),(65,1),(70,1),(105,1),(140,1),(163,1)}
        50:{2,4,6}:{(32,1),(33,1),(66,1),(68,1),(70,1),(71,1),(110,1),(112,1),(143,1)}
        51:{1,4,7}:{(33,1),(67,1),(69,1),(71,1),(170,1)}
        52:{1,6,7}:{(34,1),(72,1),(81,1),(121,1)}
        53:{2,5,7}:{(34,1),(35,1),(72,1),(73,1),(74,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(40,1),(73,1),(75,1),(77,1),(116,1),(118,1)}
        55:{1,4,7}:{(35,1),(41,1),(74,1),(75,1),(146,1)}
        56:{1,4,6}:{(36,1),(37,1),(42,1),(77,1),(91,1)}
        57:{1,3,5,7}:{(37,1),(39,1),(43,1),(76,1),(77,1),(78,1),(79,1),(118,1)}
        58:{1,4,5}:{(38,1),(44,1),(79,1),(92,1),(128,1)}
        59:{1,3,6}:{(38,1),(39,1),(45,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(80,1),(81,1)}
        61:{4,6}:{(40,1),(41,1),(82,1),(168,1)}
        62:{3,4,7}:{(41,1),(43,1),(83,1),(84,1),(87,1),(147,1),(168,1)}
        63:{3,6}:{(42,1),(43,1)}
        64:{2,3,5,7}:{(43,1),(46,1),(48,1),(78,1),(84,1),(85,1),(86,1),(88,1),(117,1),(124,1),(148,1)}
        65:{3,5}:{(44,1),(45,1),(87,1),(155,1)}
        66:{2,3,6}:{(45,1),(46,1),(50,1),(80,1),(88,1),(89,1),(154,1),(155,1)}
        67:{1,3,7}:{(46,1),(51,1),(81,1),(89,1),(90,1),(172,1)}
        68:{2,6}:{(47,1),(48,1),(91,1)}
        69:{1,5,7}:{(48,1),(51,1),(91,1),(92,1),(146,1),(165,1)}
        70:{2,5}:{(49,1),(50,1),(92,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(91,1),(92,1),(128,1)}
        72:{1,5,7}:{(52,1),(53,1),(93,1),(94,1)}
        73:{2,5,6}:{(53,1),(54,1),(93,1),(95,1),(100,1),(136,1)}
        74:{2,4,7}:{(53,1),(55,1),(94,1),(95,1),(96,1),(132,1)}
        75:{1,4,6}:{(54,1),(55,1),(61,1),(95,1),(97,1),(158,1)}
        76:{1,3,4,7}:{(55,1),(57,1),(62,1),(96,1),(98,1),(99,1),(102,1),(107,1),(135,1),(142,1)}
        77:{1,3,6}:{(56,1),(57,1),(63,1),(100,1)}
        78:{2,5,7}:{(57,1),(60,1),(99,1),(100,1),(101,1),(103,1),(136,1)}
        79:{1,3,5}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        80:{2,6}:{(59,1),(60,1),(103,1),(104,1)}
        81:{1,7}:{(60,1),(104,1)}
        82:{4,5}:{(61,1),(105,1)}
        83:{3,4,6}:{(61,1),(62,1),(63,1),(105,1),(106,1)}
        84:{2,4,7}:{(62,1),(64,1),(106,1),(107,1),(110,1),(159,1)}
        85:{2,3,6}:{(63,1),(64,1),(68,1),(100,1),(106,1),(108,1)}
        86:{1,3,5,7}:{(64,1),(67,1),(69,1),(101,1),(107,1),(108,1),(109,1),(111,1),(135,1),(140,1),(142,1),(160,1),(163,1)}
        87:{3,4}:{(65,1),(110,1)}
        88:{2,3,5}:{(65,1),(66,1),(70,1),(103,1),(110,1),(111,1),(138,1),(163,1)}
        89:{1,3,6}:{(66,1),(67,1),(71,1),(104,1),(111,1),(112,1)}
        90:{2,7}:{(67,1),(112,1),(174,1)}
        91:{1,6}:{(68,1),(69,1)}
        92:{1,5}:{(70,1),(71,1)}
        93:{1,5,6}:{(72,1),(73,1),(113,1),(121,1),(151,1)}
        94:{1,4,7}:{(72,1),(74,1),(113,1),(114,1)}
        95:{2,4,6}:{(73,1),(74,1),(75,1),(113,1),(115,1),(116,1),(145,1)}
        96:{3,7}:{(74,1),(116,1)}
        97:{1,4,5}:{(75,1),(82,1),(115,1),(118,1),(165,1),(166,1),(168,1)}
        98:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(116,1),(118,1),(119,1),(125,1),(147,1),(149,1),(154,1),(166,1),(168,1),(173,1)}
        99:{2,4,7}:{(76,1),(78,1),(117,1),(119,1),(120,1),(122,1),(150,1)}
       100:{2,6}:{(77,1),(78,1),(121,1)}
       101:{1,5,7}:{(78,1),(81,1),(120,1),(121,1),(123,1),(151,1)}
       102:{1,3,4}:{(79,1),(87,1),(122,1),(128,1),(152,1),(155,1)}
       103:{2,5}:{(79,1),(80,1),(122,1),(123,1)}
       104:{1,6}:{(80,1),(81,1),(123,1)}
       105:{3,5}:{(82,1),(83,1),(124,1)}
       106:{2,4,6}:{(83,1),(84,1),(85,1),(124,1),(125,1)}
       107:{1,4,7}:{(84,1),(86,1),(125,1),(126,1),(128,1),(166,1),(168,1)}
       108:{1,3,6}:{(85,1),(86,1),(91,1),(121,1),(125,1),(127,1),(154,1)}
       109:{2,5,7}:{(86,1),(90,1),(126,1),(127,1),(129,1),(150,1),(153,1),(167,1)}
       110:{2,4}:{(87,1),(88,1),(128,1),(168,1)}
       111:{1,3,5}:{(88,1),(89,1),(92,1),(123,1),(128,1),(129,1),(152,1),(155,1)}
       112:{2,6}:{(89,1),(90,1),(129,1)}
       113:{1,4,6}:{(93,1),(94,1),(95,1),(130,1),(131,1)}
       114:{1,3,7}:{(94,1),(96,1),(131,1),(132,1)}
       115:{2,4,5}:{(95,1),(97,1),(130,1),(133,1),(136,1),(157,1),(159,1),(171,1)}
       116:{3,6}:{(95,1),(96,1),(133,1)}
       117:{2,3,7}:{(96,1),(99,1),(132,1),(134,1),(135,1),(138,1),(142,1)}
       118:{1,3,5}:{(97,1),(98,1),(105,1),(133,1),(136,1),(140,1),(163,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(134,1),(136,1),(137,1),(159,1),(161,1),(171,1)}
       120:{1,4,7}:{(99,1),(101,1),(135,1),(137,1),(139,1)}
       121:{1,6}:{(100,1),(101,1)}
       122:{2,4}:{(102,1),(103,1),(138,1),(139,1),(162,1)}
       123:{1,5}:{(103,1),(104,1),(139,1)}
       124:{2,5}:{(105,1),(106,1),(140,1)}
       125:{1,4,6}:{(106,1),(107,1),(108,1),(140,1),(141,1)}
       126:{2,4,7}:{(107,1),(109,1),(141,1),(142,1),(143,1),(171,1)}
       127:{2,6}:{(108,1),(109,1)}
       128:{1,4}:{(110,1),(111,1),(143,1)}
       129:{2,5}:{(111,1),(112,1),(143,1),(162,1)}
       130:{1,4,5}:{(113,1),(115,1),(144,1),(151,1),(166,1)}
       131:{1,3,6}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{2,7}:{(114,1),(145,1),(146,1)}
       133:{3,5}:{(115,1),(116,1),(147,1),(173,1)}
       134:{2,3,6}:{(116,1),(117,1),(119,1),(145,1),(148,1),(149,1),(154,1),(173,1)}
       135:{1,3,7}:{(117,1),(120,1),(146,1),(149,1),(150,1),(152,1)}
       136:{2,5}:{(118,1),(119,1),(151,1)}
       137:{1,4,6}:{(119,1),(120,1),(121,1),(149,1),(151,1),(166,1)}
       138:{2,3}:{(122,1),(152,1),(155,1)}
       139:{1,4}:{(122,1),(123,1),(152,1)}
       140:{1,5}:{(124,1),(125,1),(153,1)}
       141:{2,4,6}:{(125,1),(126,1),(127,1),(153,1),(154,1),(168,1)}
       142:{3,7}:{(126,1),(154,1),(155,1),(173,1)}
       143:{2,4}:{(128,1),(129,1),(155,1)}
       144:{1,3,5}:{(130,1),(131,1),(133,1),(156,1),(157,1)}
       145:{2,6}:{(131,1),(132,1),(157,1),(158,1)}
       146:{1,7}:{(132,1),(158,1)}
       147:{3,4}:{(133,1),(159,1)}
       148:{2,3,5}:{(133,1),(134,1),(136,1),(157,1),(159,1),(160,1),(163,1),(169,1)}
       149:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(160,1),(161,1)}
       150:{2,7}:{(135,1),(161,1),(162,1)}
       151:{1,5}:{(136,1),(137,1)}
       152:{1,3}:{(138,1),(139,1),(162,1)}
       153:{2,5}:{(140,1),(141,1),(163,1)}
       154:{3,6}:{(141,1),(142,1),(163,1)}
       155:{3}:{(143,1)}
       156:{1,3,4}:{(144,1),(147,1),(164,1),(166,1),(172,1),(173,1)}
       157:{2,5}:{(144,1),(145,1),(164,1),(165,1)}
       158:{1,6}:{(145,1),(146,1),(165,1)}
       159:{2,4}:{(147,1),(148,1),(166,1),(168,1)}
       160:{1,3,5}:{(148,1),(149,1),(151,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       161:{2,6}:{(149,1),(150,1),(167,1)}
       162:{2}:{(152,1)}
       163:{3,5}:{(153,1),(154,1),(168,1)}
       164:{2,4}:{(156,1),(157,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(157,1),(158,1),(170,1)}
       166:{1,4}:{(159,1),(160,1),(171,1)}
       167:{2,5}:{(160,1),(161,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 202 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 203 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

 204 :   0:{2,3,4}:{(1,1),(2,1),(26,1),(60,1)}
         1:{1,3,4}:{(0,1),(3,1),(4,1),(15,1),(44,1),(49,1)}
         2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
         3:{2,4}:{(1,1),(8,1),(9,1)}
         4:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,4,5}:{(2,1),(10,1),(12,1),(13,1),(60,1),(101,1)}
         6:{2,3,6}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,2,4}:{(3,1),(15,1),(16,1),(41,1),(44,1)}
         8:{2,3}:{(3,1),(15,1)}
         9:{2,5}:{(3,1),(4,1),(20,1)}
        10:{1,4,5}:{(4,1),(5,1),(19,1),(21,1),(44,1),(85,1)}
        11:{1,3,6}:{(4,1),(6,1),(20,1),(21,1),(22,1),(52,1)}
        12:{3,4,5}:{(5,1),(23,1),(80,1),(118,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{2,3,7}:{(6,1),(22,1),(25,1)}
        15:{1,3}:{(7,1),(8,1),(26,1)}
        16:{1,2,5}:{(7,1),(9,1),(28,1),(29,1),(59,1)}
        17:{2,3,4}:{(8,1),(27,1),(30,1),(31,1)}
        18:{2,3,5}:{(8,1),(9,1),(28,1),(31,1),(32,1),(33,1),(70,1)}
        19:{2,4,5}:{(9,1),(10,1),(31,1),(33,1),(34,1),(70,1),(109,1)}
        20:{2,6}:{(9,1),(11,1),(35,1)}
        21:{1,4,6}:{(10,1),(11,1),(13,1),(34,1),(36,1),(37,1)}
        22:{1,3,7}:{(11,1),(14,1),(35,1),(37,1),(73,1)}
        23:{3,4,6}:{(12,1),(13,1),(38,1),(39,1)}
        24:{2,5,6}:{(13,1),(36,1),(38,1),(40,1),(101,1),(134,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(39,1),(40,1)}
        26:{2,3}:{(15,1),(41,1)}
        27:{1,3,4}:{(15,1),(17,1),(41,1),(43,1),(44,1),(80,1)}
        28:{1,3,5}:{(15,1),(16,1),(18,1),(42,1),(44,1),(45,1),(85,1)}
        29:{1,2,6}:{(16,1),(20,1),(45,1),(46,1),(79,1)}
        30:{2,3,5}:{(17,1),(43,1),(47,1),(48,1)}
        31:{2,4}:{(18,1),(44,1),(49,1)}
        32:{2,3,6}:{(18,1),(20,1),(45,1),(50,1),(51,1),(52,1)}
        33:{3,5}:{(19,1),(49,1),(52,1)}
        34:{2,4,6}:{(19,1),(20,1),(21,1),(52,1),(53,1),(54,1),(93,1)}
        35:{2,7}:{(20,1),(22,1)}
        36:{1,5,6}:{(21,1),(24,1),(53,1),(55,1),(85,1),(122,1)}
        37:{1,4,7}:{(21,1),(22,1),(25,1),(54,1),(55,1)}
        38:{3,5,6}:{(23,1),(24,1),(56,1),(57,1),(118,1),(144,1)}
        39:{3,4,7}:{(23,1),(25,1),(57,1)}
        40:{2,5,7}:{(24,1),(25,1),(55,1),(57,1),(58,1)}
        41:{2,4}:{(26,1),(27,1),(59,1)}
        42:{2,3,5}:{(26,1),(28,1),(59,1),(60,1),(61,1),(97,1),(101,1)}
        43:{1,3,5}:{(27,1),(30,1),(59,1),(62,1),(63,1),(97,1)}
        44:{1,4}:{(28,1),(31,1),(60,1)}
        45:{1,3,6}:{(28,1),(29,1),(32,1),(61,1),(64,1),(65,1)}
        46:{1,2,7}:{(29,1),(35,1),(65,1),(99,1)}
        47:{2,4,5}:{(30,1),(31,1),(62,1),(66,1),(67,1),(70,1)}
        48:{2,3,6}:{(30,1),(63,1),(67,1),(68,1)}
        49:{3,4}:{(31,1),(33,1)}
        50:{2,4,6}:{(31,1),(32,1),(64,1),(69,1),(70,1),(71,1),(111,1)}
        51:{2,3,7}:{(32,1),(35,1),(65,1),(71,1),(73,1)}
        52:{3,6}:{(33,1),(34,1),(73,1)}
        53:{2,5,6}:{(34,1),(36,1),(70,1),(72,1),(74,1),(111,1)}
        54:{2,4,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(112,1)}
        55:{1,5,7}:{(36,1),(37,1),(40,1),(74,1),(75,1)}
        56:{4,5,6}:{(38,1),(76,1),(132,1),(149,1)}
        57:{3,5,7}:{(38,1),(39,1),(40,1),(76,1),(77,1)}
        58:{2,6,7}:{(40,1),(75,1),(77,1),(134,1)}
        59:{2,5}:{(41,1),(43,1),(79,1)}
        60:{2,4}:{(42,1),(44,1),(80,1)}
        61:{2,3,6}:{(42,1),(45,1),(79,1),(81,1),(82,1),(115,1)}
        62:{1,4,5}:{(43,1),(44,1),(47,1),(78,1),(83,1),(85,1)}
        63:{1,3,6}:{(43,1),(48,1),(79,1),(83,1),(84,1),(115,1)}
        64:{1,4,6}:{(44,1),(45,1),(50,1),(81,1),(85,1),(86,1),(122,1)}
        65:{1,3,7}:{(45,1),(46,1),(51,1),(82,1),(86,1)}
        66:{3,4,5}:{(47,1),(49,1),(87,1),(90,1)}
        67:{2,4,6}:{(47,1),(48,1),(83,1),(87,1),(88,1),(89,1)}
        68:{2,3,7}:{(48,1),(84,1),(89,1)}
        69:{3,4,6}:{(49,1),(50,1),(52,1),(90,1),(91,1),(93,1),(127,1)}
        70:{2,5}:{(50,1),(85,1),(90,1)}
        71:{2,4,7}:{(50,1),(51,1),(86,1),(91,1),(92,1)}
        72:{3,5,6}:{(52,1),(53,1),(90,1),(93,1),(94,1),(127,1),(146,1)}
        73:{3,7}:{(52,1),(54,1)}
        74:{2,5,7}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        75:{1,6,7}:{(55,1),(58,1),(95,1),(122,1)}
        76:{4,5,7}:{(56,1),(57,1),(96,1)}
        77:{3,6,7}:{(57,1),(58,1),(96,1),(144,1)}
        78:{2,4,5}:{(59,1),(60,1),(62,1),(97,1),(98,1),(101,1),(132,1)}
        79:{2,6}:{(59,1),(63,1),(99,1)}
        80:{3,4}:{(60,1),(97,1)}
        81:{2,4,6}:{(60,1),(61,1),(64,1),(100,1),(101,1),(102,1),(134,1)}
        82:{2,3,7}:{(61,1),(65,1),(99,1),(102,1),(130,1)}
        83:{1,4,6}:{(62,1),(63,1),(67,1),(98,1),(103,1),(104,1)}
        84:{1,3,7}:{(63,1),(68,1),(99,1),(104,1),(130,1)}
        85:{1,5}:{(64,1),(70,1),(101,1)}
        86:{1,4,7}:{(64,1),(65,1),(71,1),(102,1),(105,1)}
        87:{3,4,6}:{(66,1),(67,1),(106,1),(107,1)}
        88:{2,5,6}:{(67,1),(70,1),(103,1),(106,1),(108,1),(111,1)}
        89:{2,4,7}:{(67,1),(68,1),(104,1),(107,1),(108,1)}
        90:{3,5}:{(69,1),(70,1),(109,1)}
        91:{3,4,7}:{(69,1),(71,1),(73,1),(110,1),(112,1)}
        92:{2,5,7}:{(70,1),(71,1),(105,1),(110,1),(111,1)}
        93:{4,6}:{(72,1),(109,1),(112,1)}
        94:{3,5,7}:{(72,1),(73,1),(74,1),(112,1),(113,1),(139,1)}
        95:{2,6,7}:{(74,1),(75,1),(111,1),(113,1)}
        96:{4,6,7}:{(76,1),(77,1),(114,1),(149,1)}
        97:{3,5}:{(78,1),(80,1),(115,1)}
        98:{2,4,6}:{(78,1),(79,1),(83,1),(115,1),(116,1),(117,1),(140,1)}
        99:{2,7}:{(79,1),(84,1)}
       100:{3,4,6}:{(80,1),(81,1),(115,1),(118,1),(119,1),(140,1),(144,1)}
       101:{2,5}:{(81,1),(85,1),(118,1)}
       102:{2,4,7}:{(81,1),(82,1),(86,1),(119,1),(120,1)}
       103:{1,5,6}:{(83,1),(85,1),(88,1),(116,1),(121,1),(122,1)}
       104:{1,4,7}:{(83,1),(84,1),(89,1),(117,1),(121,1)}
       105:{1,5,7}:{(85,1),(86,1),(92,1),(120,1),(122,1)}
       106:{3,5,6}:{(87,1),(88,1),(90,1),(123,1),(124,1),(127,1)}
       107:{3,4,7}:{(87,1),(89,1),(124,1)}
       108:{2,5,7}:{(88,1),(89,1),(121,1),(124,1),(125,1)}
       109:{4,5}:{(90,1),(93,1)}
       110:{3,5,7}:{(90,1),(91,1),(92,1),(126,1),(127,1)}
       111:{2,6}:{(92,1),(122,1),(127,1)}
       112:{4,7}:{(93,1),(94,1)}
       113:{3,6,7}:{(94,1),(95,1),(127,1),(128,1)}
       114:{5,6,7}:{(96,1),(152,1)}
       115:{3,6}:{(97,1),(98,1),(130,1)}
       116:{2,5,6}:{(98,1),(101,1),(103,1),(129,1),(131,1),(134,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(131,1),(147,1)}
       118:{3,5}:{(100,1),(101,1),(132,1)}
       119:{3,4,7}:{(100,1),(102,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(105,1),(133,1),(134,1)}
       121:{1,5,7}:{(103,1),(104,1),(108,1),(131,1),(135,1)}
       122:{1,6}:{(105,1),(111,1),(134,1)}
       123:{4,5,6}:{(106,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(106,1),(107,1),(108,1),(136,1),(137,1)}
       125:{2,6,7}:{(108,1),(111,1),(135,1),(137,1)}
       126:{4,5,7}:{(109,1),(110,1),(112,1),(138,1),(139,1)}
       127:{3,6}:{(110,1),(111,1),(138,1)}
       128:{4,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(144,1),(152,1)}
       130:{3,7}:{(115,1),(117,1)}
       131:{2,5,7}:{(116,1),(117,1),(121,1),(141,1),(142,1)}
       132:{4,5}:{(118,1),(140,1)}
       133:{3,5,7}:{(118,1),(119,1),(120,1),(143,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(125,1),(142,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(125,1),(127,1),(145,1)}
       138:{4,6}:{(126,1),(127,1),(146,1)}
       139:{5,7}:{(128,1),(146,1)}
       140:{4,6}:{(129,1),(132,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(131,1),(147,1),(148,1),(153,1)}
       142:{2,6,7}:{(131,1),(134,1),(135,1),(148,1)}
       143:{4,5,7}:{(132,1),(133,1),(147,1),(149,1),(153,1)}
       144:{3,6}:{(133,1),(134,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(142,1),(144,1),(151,1)}
       149:{4,6}:{(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 205 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 206 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(37,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(57,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(28,1),(58,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(78,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(37,1),(44,1),(46,1),(82,1),(83,1),(101,1),(111,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(56,1),(57,1),(62,1),(84,1),(96,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(96,1),(115,1),(119,1),(121,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(28,1),(30,1),(100,1),(115,1),(121,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(28,1),(29,1),(58,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(28,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(37,1),(65,1),(68,1),(75,1),(82,1),(103,1),(104,1),(105,1),(111,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(37,1),(38,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(38,1),(39,1),(78,1)}
        24:{2,4,7}:{(13,1),(33,1),(37,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{2,4,6,7}:{(16,1),(36,1),(43,1),(44,1),(76,1),(83,1),(111,1)}
        28:{3,6}:{(15,1),(16,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(50,1),(54,1),(86,1),(100,1),(121,1)}
        32:{2,4,6}:{(19,1),(23,1),(50,1),(51,1),(58,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(121,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(23,1),(27,1),(48,1),(55,1),(56,1),(94,1),(96,1),(120,1)}
        37:{2,5,7}:{(22,1),(24,1),(57,1),(58,1),(61,1),(123,1),(134,1)}
        38:{1,3,6}:{(22,1),(23,1),(28,1),(50,1),(58,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(56,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(57,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(58,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(121,1)}
        44:{2,5,7}:{(27,1),(29,1),(56,1),(63,1)}
        45:{3,5,6}:{(28,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(105,1),(109,1)}
        48:{2,4,6,7}:{(32,1),(36,1),(67,1),(68,1),(76,1),(105,1),(111,1)}
        49:{2,3,5,7}:{(31,1),(33,1),(37,1),(65,1),(69,1),(70,1),(74,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(68,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,3,6,7}:{(36,1),(38,1),(43,1),(67,1),(76,1),(77,1),(128,1)}
        56:{1,5,7}:{(36,1),(39,1),(44,1),(68,1)}
        57:{1,5,7}:{(37,1),(40,1),(78,1),(81,1),(130,1),(138,1)}
        58:{2,6}:{(37,1),(38,1),(78,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(45,1),(71,1),(77,1),(79,1),(80,1),(113,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(78,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(45,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(121,1)}
        68:{2,5,7}:{(48,1),(51,1),(56,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(52,1),(57,1),(84,1),(88,1),(89,1),(92,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(58,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(54,1),(86,1),(87,1),(90,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{2,6,7}:{(55,1),(58,1),(94,1),(95,1),(134,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(87,1),(95,1),(96,1),(121,1)}
        78:{1,6}:{(57,1),(58,1)}
        79:{2,5,6}:{(58,1),(59,1),(61,1),(95,1),(97,1),(98,1)}
        80:{1,4,6}:{(59,1),(62,1),(64,1),(90,1),(96,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(72,1),(101,1),(106,1),(107,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(78,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(75,1),(104,1),(105,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(78,1),(110,1),(138,1)}
        95:{2,5,7}:{(76,1),(77,1),(79,1),(110,1),(111,1)}
        96:{1,4,7}:{(77,1),(80,1),(83,1),(105,1),(111,1),(138,1)}
        97:{1,5,6}:{(78,1),(79,1),(81,1),(110,1),(112,1)}
        98:{2,4,6}:{(79,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(97,1),(120,1)}
       111:{2,4,7}:{(95,1),(96,1),(98,1),(120,1),(121,1),(134,1)}
       112:{1,4,6}:{(97,1),(98,1),(99,1),(120,1),(122,1)}
       113:{3,6}:{(98,1),(100,1),(121,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{3,7}:{(111,1),(113,1)}
       122:{1,3,6}:{(112,1),(113,1),(114,1),(128,1),(129,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(122,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 207 :   0:{2,3,6,7}:{(1,1),(2,1),(3,1),(46,1),(67,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(55,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(7,1),(8,1),(10,1),(31,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(54,1),(56,1)}
         4:{2,6,7}:{(1,1),(12,1),(67,1)}
         5:{1,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(15,1),(40,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(13,1),(14,1),(15,1),(35,1),(39,1),(66,1),(68,1)}
         7:{3,4,6,7}:{(2,1),(16,1),(20,1),(45,1),(46,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(46,1),(47,1),(65,1),(67,1),(69,1),(103,1)}
        10:{2,4,7}:{(3,1),(15,1),(19,1),(20,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(24,1),(49,1),(50,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(79,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(6,1),(9,1),(23,1),(25,1),(27,1),(48,1),(53,1),(55,1),(57,1),(78,1),(80,1),(81,1)}
        15:{1,4,7}:{(6,1),(10,1),(24,1),(27,1),(49,1)}
        16:{3,5,7}:{(7,1),(8,1),(29,1),(30,1)}
        17:{2,5,6}:{(8,1),(25,1),(29,1),(31,1),(100,1)}
        18:{2,4,5,7}:{(8,1),(10,1),(26,1),(30,1),(31,1),(32,1),(33,1),(56,1),(92,1),(100,1),(104,1)}
        19:{2,4,6}:{(9,1),(10,1),(27,1),(33,1),(34,1),(104,1)}
        20:{3,4,7}:{(10,1),(32,1),(34,1),(104,1)}
        21:{3,6,7}:{(11,1),(35,1),(39,1),(62,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(36,1)}
        23:{2,5,6}:{(12,1),(14,1),(38,1),(67,1),(69,1),(89,1)}
        24:{2,4,7}:{(12,1),(15,1),(38,1),(39,1)}
        25:{1,5,6}:{(13,1),(17,1),(36,1),(40,1),(96,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(37,1),(40,1),(41,1),(42,1),(68,1),(84,1),(96,1)}
        27:{1,4,6}:{(14,1),(15,1),(19,1),(38,1),(42,1),(60,1)}
        28:{1,3,4,7}:{(15,1),(20,1),(39,1),(41,1),(43,1),(44,1),(61,1),(66,1),(84,1),(98,1)}
        29:{3,5,6}:{(16,1),(17,1),(45,1),(46,1),(103,1)}
        30:{4,5,7}:{(16,1),(45,1)}
        31:{2,4,6}:{(17,1),(18,1),(40,1),(45,1),(46,1),(67,1)}
        32:{3,5,7}:{(18,1),(20,1),(46,1),(47,1),(98,1),(103,1)}
        33:{2,4,5}:{(19,1),(42,1),(47,1),(69,1),(99,1)}
        34:{3,4,6}:{(19,1),(20,1),(46,1),(47,1)}
        35:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(50,1),(90,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(50,1),(51,1),(52,1),(56,1),(71,1),(73,1),(90,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(52,1),(53,1)}
        39:{3,7}:{(24,1),(53,1)}
        40:{1,4,6}:{(25,1),(26,1),(31,1),(50,1),(55,1),(80,1)}
        41:{1,3,5,7}:{(26,1),(28,1),(32,1),(51,1),(55,1),(56,1),(57,1)}
        42:{1,4,5}:{(27,1),(33,1),(52,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        43:{1,3,4,6}:{(27,1),(28,1),(34,1),(53,1),(55,1),(57,1),(58,1),(72,1),(76,1),(78,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        44:{2,4,7}:{(28,1),(54,1),(56,1),(58,1),(59,1),(79,1)}
        45:{4,6}:{(29,1),(30,1),(104,1)}
        46:{3,6}:{(31,1),(32,1)}
        47:{3,5}:{(33,1),(34,1),(102,1)}
        48:{3,5,6}:{(35,1),(36,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(35,1),(60,1)}
        50:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(62,1),(67,1)}
        51:{3,5,7}:{(37,1),(39,1),(61,1),(62,1),(64,1),(82,1)}
        52:{2,4,5}:{(38,1),(42,1),(64,1),(69,1),(87,1)}
        53:{3,6}:{(38,1),(39,1),(64,1)}
        54:{2,3,7}:{(39,1),(44,1),(65,1),(66,1),(98,1)}
        55:{1,3,6}:{(40,1),(41,1),(46,1),(62,1),(67,1)}
        56:{2,5,7}:{(41,1),(44,1),(67,1),(68,1),(69,1)}
        57:{1,3,5}:{(42,1),(43,1),(47,1),(64,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(43,1),(44,1),(65,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(44,1),(66,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(76,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(54,1),(56,1),(73,1),(74,1),(75,1),(77,1),(90,1)}
        64:{3,5}:{(52,1),(53,1),(76,1)}
        65:{2,3,6}:{(53,1),(54,1),(58,1),(77,1),(78,1),(101,1),(102,1)}
        66:{1,3,7}:{(54,1),(59,1),(78,1),(79,1)}
        67:{2,6}:{(55,1),(56,1),(80,1)}
        68:{1,5,7}:{(56,1),(59,1),(80,1),(81,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(78,1),(80,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(67,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(66,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{3,4}:{(64,1),(87,1)}
        77:{2,3,5}:{(64,1),(65,1),(69,1),(87,1),(88,1),(103,1)}
        78:{1,3,6}:{(65,1),(66,1),(70,1),(88,1),(89,1)}
        79:{2,7}:{(66,1),(89,1)}
        80:{1,6}:{(67,1),(68,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(80,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(79,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(76,1),(77,1),(94,1),(104,1)}
        88:{1,3,5}:{(77,1),(78,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(78,1),(79,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 208 :   0:{4,5,7}:{(3,1),(4,1),(23,1),(27,1),(50,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(50,1),(77,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(77,1),(101,1)}
         3:{3,5,7}:{(0,1),(1,1),(9,1),(10,1),(15,1)}
         4:{4,6}:{(0,1),(10,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(9,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(10,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(113,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{2,5,7}:{(3,1),(5,1),(19,1),(20,1),(26,1)}
        10:{3,6}:{(3,1),(4,1),(20,1)}
        11:{4,6,7}:{(4,1),(21,1),(23,1),(50,1),(145,1)}
        12:{5,6}:{(4,1),(23,1)}
        13:{1,4,7}:{(5,1),(7,1),(19,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(20,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{1,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1)}
        20:{2,6}:{(9,1),(10,1),(32,1)}
        21:{3,6,7}:{(10,1),(11,1),(33,1),(35,1),(143,1)}
        22:{3,5,6}:{(10,1),(12,1),(15,1),(34,1),(35,1),(36,1),(64,1),(138,1),(143,1),(146,1)}
        23:{5,7}:{(11,1),(12,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(31,1),(37,1),(38,1),(57,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(32,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,5,7}:{(19,1),(24,1),(44,1),(45,1),(52,1)}
        32:{1,6}:{(19,1),(20,1),(45,1)}
        33:{2,6,7}:{(20,1),(21,1),(46,1),(48,1),(140,1)}
        34:{2,5,6}:{(20,1),(22,1),(26,1),(47,1),(48,1),(49,1),(133,1),(140,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(48,1),(50,1),(77,1)}
        36:{4,6}:{(22,1),(27,1),(50,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(45,1),(51,1),(52,1),(55,1),(70,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(49,1),(53,1),(54,1),(80,1),(123,1),(133,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{3,5,7}:{(31,1),(37,1),(57,1),(58,1),(65,1),(84,1)}
        45:{2,6}:{(31,1),(32,1),(58,1)}
        46:{1,6,7}:{(32,1),(33,1),(59,1),(61,1),(136,1)}
        47:{1,5,6}:{(32,1),(34,1),(39,1),(60,1),(61,1),(62,1),(126,1),(136,1)}
        48:{2,5,7}:{(33,1),(34,1),(35,1),(61,1),(63,1)}
        49:{2,4,6}:{(34,1),(36,1),(40,1),(62,1),(63,1),(64,1),(90,1)}
        50:{4,7}:{(35,1),(36,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(84,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(62,1),(66,1),(67,1),(93,1),(114,1),(126,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{4,7}:{(44,1),(70,1),(78,1)}
        58:{3,6}:{(44,1),(45,1),(70,1)}
        59:{2,6,7}:{(45,1),(46,1),(71,1),(73,1),(131,1)}
        60:{2,5,6}:{(45,1),(47,1),(52,1),(72,1),(73,1),(74,1),(118,1),(131,1)}
        61:{1,5,7}:{(46,1),(47,1),(48,1),(73,1),(75,1)}
        62:{1,4,6}:{(47,1),(49,1),(53,1),(74,1),(75,1),(76,1),(102,1)}
        63:{2,4,7}:{(48,1),(49,1),(50,1),(75,1),(77,1),(101,1)}
        64:{3,6}:{(49,1),(54,1),(77,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(74,1),(78,1),(79,1),(80,1),(96,1),(103,1),(118,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(76,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(59,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(60,1),(65,1),(84,1),(85,1),(86,1),(88,1),(106,1),(108,1),(124,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(85,1),(87,1)}
        74:{2,4,6}:{(60,1),(62,1),(66,1),(86,1),(87,1),(88,1),(90,1)}
        75:{1,4,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(113,1)}
        76:{1,3,6}:{(62,1),(64,1),(67,1),(88,1),(89,1),(90,1)}
        77:{3,7}:{(63,1),(64,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(88,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(73,1),(95,1),(97,1),(99,1)}
        86:{4,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,4,7}:{(73,1),(74,1),(75,1),(97,1),(99,1),(101,1)}
        88:{3,6}:{(74,1),(79,1),(99,1)}
        89:{1,3,7}:{(75,1),(76,1),(77,1),(99,1),(101,1)}
        90:{2,6}:{(76,1),(80,1),(101,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(100,1),(103,1),(104,1),(118,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(88,1),(91,1),(108,1),(109,1),(110,1),(124,1)}
        99:{3,7}:{(87,1),(88,1)}
       100:{2,3,6}:{(88,1),(90,1),(92,1),(110,1),(111,1),(112,1)}
       101:{2,7}:{(89,1),(90,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(113,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(112,1),(114,1),(115,1),(126,1),(130,1),(138,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(99,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(100,1),(103,1),(118,1),(119,1),(120,1),(131,1)}
       111:{2,3,7}:{(99,1),(100,1),(101,1),(119,1),(121,1)}
       112:{1,3,6}:{(100,1),(102,1),(104,1),(120,1),(121,1),(122,1),(135,1)}
       113:{1,7}:{(101,1),(102,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(112,1),(114,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(111,1),(112,1),(113,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(112,1),(115,1),(129,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 209 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 210 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(19,1),(27,1),(31,1),(50,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(50,1),(83,1)}
         2:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(17,1),(43,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(35,1),(69,1)}
         5:{1,3,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(97,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(17,1),(42,1),(75,1),(76,1)}
         7:{2,3,7}:{(1,1),(11,1),(16,1),(69,1),(98,1)}
         8:{3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(50,1),(60,1),(136,1),(144,1),(146,1)}
         9:{1,4,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(30,1),(59,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(7,1),(23,1),(25,1)}
        12:{4,5}:{(3,1),(19,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(54,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(23,1),(29,1),(55,1),(110,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,5,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(43,1),(131,1),(142,1)}
        19:{4,6}:{(8,1),(12,1),(35,1),(140,1)}
        20:{3,5,7}:{(8,1),(34,1),(35,1),(36,1),(69,1),(70,1)}
        21:{2,4,6}:{(9,1),(14,1),(37,1),(38,1),(39,1),(45,1),(71,1),(74,1),(100,1)}
        22:{1,5}:{(9,1),(10,1),(38,1)}
        23:{1,4,7}:{(9,1),(11,1),(16,1),(39,1),(41,1)}
        24:{2,4,5}:{(10,1),(12,1),(17,1),(33,1),(40,1),(42,1),(75,1),(122,1),(131,1),(140,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(41,1),(43,1)}
        26:{4,5,7}:{(12,1),(13,1),(35,1),(44,1),(70,1)}
        27:{3,6}:{(13,1),(43,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(71,1)}
        31:{3,4}:{(17,1),(42,1),(140,1)}
        32:{1,5,6}:{(18,1),(22,1),(47,1),(48,1),(49,1),(59,1),(123,1),(138,1)}
        33:{2,4,6}:{(18,1),(19,1),(24,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,5,7}:{(18,1),(20,1),(49,1),(51,1),(52,1)}
        35:{4,7}:{(19,1),(20,1)}
        36:{3,6,7}:{(20,1),(27,1),(52,1),(53,1),(144,1)}
        37:{3,6}:{(21,1),(54,1),(55,1),(61,1)}
        38:{2,5}:{(21,1),(22,1),(54,1),(112,1)}
        39:{2,4,7}:{(21,1),(23,1),(29,1),(55,1),(57,1),(86,1)}
        40:{1,4,5}:{(22,1),(24,1),(30,1),(48,1),(56,1),(58,1),(89,1),(111,1),(123,1)}
        41:{1,5,7}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        42:{3,5}:{(24,1),(31,1),(50,1),(130,1)}
        43:{2,6}:{(25,1),(27,1),(59,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(58,1),(61,1),(62,1),(85,1),(90,1),(111,1),(130,1)}
        47:{2,5,6}:{(32,1),(38,1),(63,1),(64,1),(65,1),(74,1),(114,1),(133,1)}
        48:{1,4,6}:{(32,1),(33,1),(40,1),(64,1),(66,1),(67,1),(97,1)}
        49:{1,5,7}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{3,6}:{(33,1),(42,1),(69,1)}
        51:{2,4,7}:{(33,1),(34,1),(35,1),(67,1),(69,1),(98,1)}
        52:{2,6,7}:{(34,1),(36,1),(43,1),(68,1),(142,1)}
        53:{4,6,7}:{(35,1),(36,1),(44,1),(70,1),(145,1)}
        54:{3,5}:{(37,1),(38,1),(71,1)}
        55:{3,7}:{(37,1),(39,1)}
        56:{2,4,5}:{(38,1),(40,1),(45,1),(64,1),(71,1),(73,1),(75,1),(91,1),(99,1),(114,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1),(74,1)}
        58:{1,3,5}:{(40,1),(42,1),(46,1),(66,1),(73,1),(75,1)}
        59:{1,6}:{(41,1),(43,1),(74,1)}
        60:{5,6}:{(44,1),(70,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(75,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(54,1),(78,1),(79,1),(80,1),(87,1),(103,1),(112,1),(125,1),(126,1)}
        64:{2,4,6}:{(47,1),(48,1),(56,1),(78,1),(80,1),(81,1),(83,1)}
        65:{2,5,7}:{(47,1),(49,1),(79,1),(81,1),(82,1)}
        66:{1,3,6}:{(48,1),(50,1),(58,1),(80,1),(83,1),(84,1)}
        67:{1,4,7}:{(48,1),(49,1),(51,1),(81,1),(84,1),(110,1)}
        68:{1,6,7}:{(49,1),(52,1),(59,1),(82,1),(138,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{5,7}:{(53,1),(60,1),(146,1)}
        71:{4}:{(54,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(86,1),(87,1),(112,1)}
        73:{3,5}:{(56,1),(61,1),(80,1),(85,1)}
        74:{2,6}:{(57,1),(59,1),(87,1)}
        75:{2,5}:{(58,1),(62,1),(83,1),(89,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(130,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(71,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(65,1),(93,1),(94,1),(96,1),(119,1)}
        80:{3,6}:{(64,1),(73,1),(96,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(93,1),(96,1),(98,1)}
        82:{2,6,7}:{(65,1),(68,1),(74,1),(94,1),(133,1)}
        83:{2,6}:{(66,1),(75,1),(97,1),(98,1)}
        84:{1,3,7}:{(66,1),(67,1),(69,1),(96,1),(98,1)}
        85:{3,4}:{(71,1),(73,1),(99,1)}
        86:{4,7}:{(71,1),(72,1),(100,1)}
        87:{3,6}:{(72,1),(74,1),(100,1)}
        88:{2,3,5}:{(73,1),(75,1),(76,1),(95,1),(99,1),(101,1),(114,1)}
        89:{1,5}:{(75,1),(77,1),(97,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(112,1)}
        92:{3,4,6}:{(78,1),(80,1),(85,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(87,1),(107,1),(125,1)}
        95:{2,3,6}:{(80,1),(83,1),(88,1),(105,1),(108,1),(109,1)}
        96:{3,7}:{(80,1),(81,1)}
        97:{1,6}:{(83,1),(89,1),(110,1)}
        98:{2,7}:{(83,1),(84,1),(110,1)}
        99:{2,4}:{(85,1),(88,1),(111,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{1,3,5}:{(88,1),(89,1),(90,1),(108,1),(111,1),(113,1),(123,1),(130,1),(136,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(99,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(96,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(100,1),(116,1),(119,1)}
       108:{1,3,6}:{(95,1),(97,1),(101,1),(117,1),(120,1),(121,1),(134,1)}
       109:{2,3,7}:{(95,1),(96,1),(98,1),(118,1),(121,1)}
       110:{1,7}:{(97,1),(98,1)}
       111:{1,4}:{(99,1),(101,1),(122,1),(140,1)}
       112:{5}:{(100,1)}
       113:{2,5}:{(101,1),(102,1),(120,1),(122,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(111,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(109,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(112,1),(126,1)}
       120:{2,6}:{(108,1),(113,1),(129,1)}
       121:{1,3,7}:{(108,1),(109,1),(110,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(111,1),(113,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 211 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(33,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(52,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(53,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(39,1),(46,1),(77,1),(83,1),(101,1),(109,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(72,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(52,1),(56,1),(64,1),(84,1),(95,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(22,1),(30,1),(100,1),(115,1),(120,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(22,1),(24,1),(53,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(95,1),(115,1),(120,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(22,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(33,1),(42,1),(65,1),(71,1),(81,1),(83,1),(103,1),(104,1),(106,1),(109,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(33,1),(34,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(34,1),(36,1),(72,1)}
        22:{3,6}:{(11,1),(12,1)}
        23:{2,4,6,7}:{(12,1),(35,1),(37,1),(39,1),(73,1),(77,1),(109,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(33,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(34,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(49,1),(61,1),(86,1),(100,1),(120,1)}
        32:{2,4,6}:{(19,1),(21,1),(49,1),(51,1),(53,1),(90,1)}
        33:{2,5,7}:{(20,1),(27,1),(52,1),(53,1),(63,1),(123,1),(132,1)}
        34:{1,3,6}:{(20,1),(21,1),(22,1),(49,1),(53,1)}
        35:{1,4,6,7}:{(21,1),(23,1),(50,1),(54,1),(56,1),(91,1),(95,1),(118,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(56,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(120,1)}
        38:{3,5,6}:{(22,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        39:{2,5,7}:{(23,1),(24,1),(56,1),(57,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(120,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(52,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(53,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(106,1),(113,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(40,1),(65,1),(67,1),(68,1),(80,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(35,1),(69,1),(71,1),(73,1),(106,1),(109,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(70,1),(71,1),(103,1)}
        52:{1,5,7}:{(33,1),(43,1),(72,1),(82,1),(130,1),(137,1)}
        53:{2,6}:{(33,1),(34,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(37,1),(69,1),(73,1),(75,1),(126,1)}
        55:{1,3,5,6}:{(34,1),(36,1),(38,1),(45,1),(70,1),(74,1),(75,1),(76,1),(110,1)}
        56:{1,5,7}:{(35,1),(36,1),(39,1),(71,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(38,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(72,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(59,1),(84,1),(87,1),(88,1),(97,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(53,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(120,1)}
        70:{3,5,6}:{(49,1),(51,1),(61,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(56,1),(89,1)}
        72:{1,6}:{(52,1),(53,1)}
        73:{2,6,7}:{(53,1),(54,1),(91,1),(93,1),(132,1)}
        74:{2,5,6}:{(53,1),(55,1),(63,1),(92,1),(93,1),(94,1)}
        75:{1,3,5,7}:{(54,1),(55,1),(56,1),(57,1),(89,1),(93,1),(95,1),(120,1)}
        76:{1,4,6}:{(55,1),(58,1),(64,1),(90,1),(94,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(94,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(78,1),(101,1),(105,1),(111,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(81,1),(104,1),(106,1)}
        91:{1,6,7}:{(72,1),(73,1),(107,1),(137,1)}
        92:{1,5,6}:{(72,1),(74,1),(82,1),(107,1),(108,1)}
        93:{2,5,7}:{(73,1),(74,1),(75,1),(107,1),(109,1)}
        94:{2,4,6}:{(74,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        95:{1,4,7}:{(75,1),(76,1),(77,1),(106,1),(109,1),(137,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{1,5,7}:{(91,1),(92,1),(93,1),(118,1)}
       108:{1,4,6}:{(92,1),(94,1),(99,1),(118,1),(119,1)}
       109:{2,4,7}:{(93,1),(94,1),(95,1),(118,1),(120,1),(132,1)}
       110:{3,6}:{(94,1),(100,1),(120,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{1,3,6}:{(108,1),(110,1),(114,1),(126,1),(127,1)}
       120:{3,7}:{(109,1),(110,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(119,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 212 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(19,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(20,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(36,1),(39,1),(44,1),(47,1),(72,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(72,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(109,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(18,1),(19,1),(20,1),(27,1),(55,1)}
        10:{1,3,5}:{(4,1),(19,1),(22,1),(53,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(20,1),(23,1),(29,1),(56,1),(64,1),(93,1),(175,1)}
        12:{1,3,6}:{(5,1),(18,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(19,1),(25,1),(27,1),(53,1),(90,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(20,1),(26,1),(93,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(128,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(55,1)}
        18:{1,4,6}:{(9,1),(12,1),(31,1),(32,1),(42,1),(71,1)}
        19:{2,5}:{(9,1),(10,1),(31,1)}
        20:{2,4,7}:{(9,1),(11,1),(14,1),(32,1),(35,1),(180,1)}
        21:{1,3,5,6}:{(10,1),(33,1),(36,1),(37,1),(39,1),(72,1),(78,1),(115,1)}
        22:{1,4,5}:{(10,1),(15,1),(34,1),(36,1),(109,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(35,1),(38,1),(39,1),(75,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(31,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(32,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(35,1),(43,1),(45,1),(46,1),(75,1),(86,1),(110,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(143,1)}
        31:{1,5}:{(18,1),(19,1)}
        32:{1,4,7}:{(18,1),(20,1),(26,1),(50,1),(185,1)}
        33:{2,5,6}:{(19,1),(21,1),(48,1),(51,1),(52,1),(55,1)}
        34:{2,4,5}:{(19,1),(22,1),(27,1),(49,1),(51,1),(53,1),(90,1)}
        35:{2,5,7}:{(19,1),(20,1),(23,1),(50,1),(55,1),(176,1),(182,1)}
        36:{1,4,6}:{(21,1),(22,1),(51,1),(56,1),(124,1),(132,1)}
        37:{1,3,5,7}:{(21,1),(52,1),(56,1),(57,1),(93,1),(97,1),(131,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(54,1),(56,1),(58,1),(66,1),(97,1),(128,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(55,1),(58,1),(95,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(90,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(50,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(53,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(55,1),(63,1),(65,1),(95,1),(129,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(33,1),(67,1),(68,1),(71,1)}
        49:{1,4,5}:{(31,1),(34,1),(42,1),(67,1),(69,1)}
        50:{1,5,7}:{(31,1),(32,1),(35,1),(71,1),(181,1),(186,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(67,1),(72,1),(73,1),(106,1)}
        52:{2,5,7}:{(33,1),(37,1),(68,1),(73,1),(74,1)}
        53:{3,5}:{(34,1),(44,1),(72,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(38,1),(45,1),(70,1),(73,1),(75,1),(76,1),(86,1),(110,1),(114,1),(123,1),(146,1),(152,1),(164,1)}
        55:{2,6}:{(35,1),(39,1),(71,1)}
        56:{1,4,7}:{(36,1),(37,1),(73,1),(140,1),(146,1)}
        57:{1,3,6,7}:{(37,1),(39,1),(74,1),(77,1),(113,1),(177,1)}
        58:{1,4,6}:{(38,1),(39,1),(76,1),(78,1),(143,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(110,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(69,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(71,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(75,1),(85,1),(146,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(51,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(52,1),(88,1),(89,1)}
        69:{1,3,5}:{(49,1),(53,1),(61,1),(87,1),(90,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(54,1),(62,1),(88,1),(91,1),(92,1),(104,1),(127,1),(139,1),(155,1)}
        71:{1,6}:{(50,1),(55,1)}
        72:{3,6}:{(51,1),(53,1),(93,1)}
        73:{2,4,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(125,1)}
        74:{2,6,7}:{(52,1),(55,1),(57,1),(89,1),(182,1)}
        75:{3,5,7}:{(53,1),(54,1),(64,1),(93,1),(95,1),(105,1),(162,1),(172,1)}
        76:{2,4,6}:{(54,1),(55,1),(58,1),(92,1),(95,1),(96,1),(129,1),(132,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(58,1),(94,1),(97,1),(153,1),(171,1)}
        78:{1,5,6}:{(58,1),(66,1),(96,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(129,1)}
        82:{2,4}:{(61,1),(90,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(91,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(95,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(72,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(73,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(74,1),(186,1)}
        90:{2,5}:{(69,1),(82,1),(106,1),(109,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(75,1),(83,1),(107,1),(110,1),(111,1),(122,1)}
        92:{1,4,6}:{(70,1),(71,1),(76,1),(111,1),(112,1)}
        93:{3,7}:{(72,1),(73,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(77,1),(108,1),(113,1),(114,1),(141,1),(146,1),(164,1)}
        95:{3,6}:{(75,1),(76,1)}
        96:{2,5,6}:{(76,1),(78,1),(86,1),(112,1),(114,1),(115,1)}
        97:{1,5,7}:{(77,1),(78,1),(114,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(109,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(110,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(111,1),(118,1),(121,1),(122,1),(145,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(90,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(93,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(92,1),(94,1),(126,1),(127,1),(155,1)}
       109:{1,5}:{(90,1),(101,1),(124,1)}
       110:{2,5,7}:{(90,1),(91,1),(102,1),(125,1),(128,1),(129,1),(138,1)}
       111:{1,3,6}:{(91,1),(92,1),(95,1),(129,1)}
       112:{1,5,6}:{(92,1),(96,1),(104,1),(127,1)}
       113:{3,6,7}:{(93,1),(94,1),(95,1),(131,1),(172,1)}
       114:{2,5,7}:{(94,1),(96,1),(97,1),(127,1),(131,1)}
       115:{3,5,6}:{(95,1),(96,1),(105,1),(131,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(128,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(129,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(109,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(111,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(112,1),(114,1)}
       128:{1,5,7}:{(109,1),(110,1),(120,1),(140,1),(143,1),(151,1)}
       129:{2,6}:{(110,1),(111,1),(143,1)}
       130:{1,3,5,6}:{(111,1),(112,1),(115,1),(122,1),(142,1),(144,1),(145,1),(166,1)}
       131:{3,5,7}:{(113,1),(114,1),(115,1),(146,1)}
       132:{4,6}:{(115,1),(123,1),(146,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(143,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(145,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(129,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(130,1),(131,1),(154,1),(155,1),(172,1)}
       143:{1,6}:{(128,1),(129,1)}
       144:{2,5,6}:{(129,1),(130,1),(138,1),(154,1),(156,1),(157,1)}
       145:{1,4,6}:{(130,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       146:{4,7}:{(131,1),(132,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(143,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(144,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(145,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(143,1),(144,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(144,1),(145,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 213 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(10,1),(16,1),(174,1)}
         1:{1,3,7}:{(0,1),(5,1),(7,1),(166,1),(179,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(8,1),(9,1),(20,1),(142,1),(167,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(21,1),(31,1),(32,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(16,1),(47,1),(84,1),(124,1),(175,1)}
         5:{2,3,7}:{(1,1),(10,1),(13,1),(15,1),(124,1),(154,1),(184,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1),(114,1),(125,1),(157,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(18,1),(155,1)}
         8:{1,2,6}:{(2,1),(17,1),(36,1)}
         9:{1,2,5}:{(3,1),(18,1),(37,1),(50,1),(159,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(20,1),(22,1),(23,1),(24,1),(54,1),(170,1),(177,1)}
        12:{1,3,4,6}:{(4,1),(7,1),(21,1),(23,1),(24,1),(31,1),(32,1),(62,1),(69,1),(71,1),(104,1)}
        13:{1,3,7}:{(5,1),(19,1),(25,1),(27,1),(187,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(26,1),(28,1),(29,1),(30,1),(54,1),(70,1),(93,1),(105,1),(144,1)}
        15:{2,3,6}:{(5,1),(7,1),(21,1),(27,1),(30,1),(104,1),(139,1)}
        16:{1,4,7}:{(6,1),(28,1),(31,1),(32,1),(168,1)}
        17:{1,3,6}:{(6,1),(8,1),(29,1),(31,1),(133,1)}
        18:{1,3,5}:{(7,1),(9,1),(30,1),(32,1),(140,1),(146,1)}
        19:{1,4,7}:{(10,1),(13,1),(33,1),(34,1),(185,1)}
        20:{2,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(176,1),(182,1)}
        21:{2,4,6}:{(10,1),(12,1),(15,1),(34,1),(36,1),(37,1),(49,1)}
        22:{1,4,5,7}:{(11,1),(16,1),(35,1),(38,1),(41,1),(50,1),(83,1),(84,1),(114,1),(160,1),(171,1)}
        23:{1,3,6}:{(11,1),(36,1),(38,1),(77,1)}
        24:{1,3,5}:{(12,1),(37,1),(41,1),(50,1),(82,1),(92,1)}
        25:{1,2,7}:{(13,1),(43,1),(154,1),(188,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(33,1),(42,1),(44,1),(45,1),(46,1),(85,1),(90,1),(127,1)}
        27:{1,3,6}:{(13,1),(15,1),(34,1),(43,1),(46,1)}
        28:{2,4,7}:{(14,1),(16,1),(44,1),(47,1),(48,1),(49,1),(158,1)}
        29:{2,3,6}:{(14,1),(17,1),(36,1),(45,1),(48,1),(77,1),(115,1)}
        30:{2,3,5}:{(15,1),(18,1),(37,1),(46,1),(49,1),(82,1),(121,1),(128,1)}
        31:{1,4,6}:{(16,1),(17,1),(48,1),(50,1)}
        32:{1,4}:{(18,1),(49,1)}
        33:{1,5,7}:{(19,1),(20,1),(52,1),(53,1),(181,1),(186,1)}
        34:{1,4,6}:{(19,1),(21,1),(27,1),(52,1),(53,1),(68,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(28,1),(51,1),(54,1),(55,1),(58,1),(70,1),(93,1),(102,1),(103,1),(113,1),(141,1),(148,1),(164,1)}
        36:{2,6}:{(20,1),(23,1),(52,1)}
        37:{2,5}:{(21,1),(24,1),(53,1)}
        38:{1,4,6}:{(22,1),(23,1),(55,1),(60,1),(133,1)}
        39:{1,3,6,7}:{(23,1),(56,1),(59,1),(61,1),(100,1),(177,1)}
        40:{1,3,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1),(62,1),(101,1),(104,1)}
        41:{1,4,5}:{(24,1),(32,1),(58,1),(62,1),(113,1),(140,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(63,1),(64,1),(65,1),(93,1),(107,1)}
        43:{1,2,6}:{(25,1),(27,1),(65,1),(139,1)}
        44:{1,4,7}:{(26,1),(28,1),(67,1),(68,1),(145,1)}
        45:{1,3,6}:{(26,1),(29,1),(52,1),(64,1),(67,1)}
        46:{1,3,5}:{(27,1),(30,1),(53,1),(65,1),(68,1),(108,1)}
        47:{3,4,7}:{(28,1),(54,1),(69,1),(71,1),(141,1),(169,1)}
        48:{2,4,6}:{(28,1),(29,1),(31,1),(67,1),(69,1),(70,1)}
        49:{2,4}:{(30,1),(32,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(76,1),(90,1),(118,1),(119,1),(131,1),(153,1)}
        52:{1,6}:{(33,1),(36,1)}
        53:{1,5}:{(34,1),(37,1)}
        54:{3,5,7}:{(35,1),(47,1),(77,1),(82,1),(92,1),(124,1),(161,1),(173,1)}
        55:{2,4,6}:{(35,1),(36,1),(38,1),(73,1),(77,1),(79,1),(115,1),(123,1)}
        56:{2,6,7}:{(36,1),(39,1),(74,1),(80,1),(182,1)}
        57:{2,5,6}:{(36,1),(37,1),(40,1),(75,1),(80,1),(81,1)}
        58:{2,4,5}:{(37,1),(41,1),(49,1),(76,1),(81,1),(82,1),(121,1)}
        59:{1,4,6,7}:{(38,1),(39,1),(78,1),(83,1),(84,1),(149,1),(171,1)}
        60:{1,5,6}:{(38,1),(50,1),(79,1),(83,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(80,1),(83,1),(84,1),(122,1),(124,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(84,1),(123,1),(155,1)}
        63:{1,2,4,7}:{(42,1),(44,1),(85,1),(86,1),(87,1),(88,1)}
        64:{1,2,6}:{(42,1),(45,1),(115,1)}
        65:{1,2,5}:{(43,1),(46,1),(87,1),(121,1)}
        66:{1,3,4,7}:{(44,1),(47,1),(72,1),(85,1),(88,1),(89,1),(91,1),(153,1),(173,1)}
        67:{1,4,6}:{(44,1),(45,1),(48,1),(90,1)}
        68:{1,4}:{(46,1),(49,1)}
        69:{3,4,6}:{(47,1),(48,1),(77,1),(92,1),(123,1)}
        70:{2,5}:{(48,1),(50,1),(90,1),(92,1)}
        71:{3,4}:{(49,1),(82,1)}
        72:{1,3,5,7}:{(51,1),(54,1),(66,1),(93,1),(94,1),(99,1),(111,1),(138,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1),(94,1),(96,1)}
        74:{1,6,7}:{(52,1),(56,1),(97,1),(186,1)}
        75:{1,5,6}:{(52,1),(53,1),(57,1),(97,1),(98,1)}
        76:{1,4,5}:{(53,1),(58,1),(68,1),(98,1),(99,1)}
        77:{3,6}:{(54,1),(55,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(59,1),(95,1),(100,1),(102,1),(103,1),(134,1),(141,1),(164,1)}
        79:{2,5,6}:{(55,1),(60,1),(70,1),(96,1),(101,1),(102,1)}
        80:{2,5,7}:{(56,1),(57,1),(61,1),(97,1),(103,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(103,1),(104,1),(139,1)}
        82:{3,5}:{(58,1),(71,1),(104,1)}
        83:{1,5,7}:{(59,1),(60,1),(102,1)}
        84:{1,4,7}:{(61,1),(62,1),(103,1),(141,1),(166,1)}
        85:{1,3,7}:{(63,1),(105,1),(106,1),(108,1),(186,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(67,1),(106,1),(107,1),(110,1),(145,1)}
        87:{1,2,4}:{(65,1),(68,1),(108,1),(112,1)}
        88:{2,4,7}:{(66,1),(93,1),(105,1),(109,1),(110,1),(112,1)}
        89:{1,3,4,6}:{(66,1),(67,1),(69,1),(94,1),(106,1),(110,1),(111,1),(137,1),(145,1),(165,1),(169,1)}
        90:{1,5}:{(67,1),(70,1)}
        91:{1,3,4}:{(68,1),(71,1),(99,1),(108,1),(112,1)}
        92:{3,5}:{(69,1),(70,1),(113,1)}
        93:{2,5,7}:{(72,1),(88,1),(114,1),(115,1),(121,1),(130,1),(154,1)}
        94:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
        95:{1,4,6,7}:{(73,1),(74,1),(78,1),(116,1),(118,1),(119,1),(153,1)}
        96:{1,5,6}:{(73,1),(79,1),(90,1),(118,1)}
        97:{1,5,7}:{(74,1),(75,1),(80,1),(119,1)}
        98:{1,4,6}:{(75,1),(76,1),(81,1),(119,1),(120,1)}
        99:{1,3,5}:{(76,1),(82,1),(91,1),(120,1),(121,1)}
       100:{3,6,7}:{(77,1),(78,1),(122,1),(124,1),(173,1)}
       101:{3,5,6}:{(77,1),(79,1),(92,1),(122,1),(123,1)}
       102:{2,5,7}:{(78,1),(79,1),(83,1),(118,1),(122,1)}
       103:{2,4,7}:{(80,1),(81,1),(84,1),(119,1),(124,1),(154,1)}
       104:{3,6}:{(81,1),(82,1),(124,1)}
       105:{2,3,7}:{(85,1),(88,1),(125,1),(126,1),(128,1),(173,1),(182,1)}
       106:{1,3,6}:{(85,1),(86,1),(126,1),(127,1),(183,1)}
       107:{1,2,5}:{(86,1),(90,1),(127,1),(130,1),(188,1)}
       108:{1,3}:{(87,1),(128,1)}
       109:{1,4,7}:{(88,1),(114,1),(125,1),(129,1),(132,1)}
       110:{2,4,6}:{(88,1),(89,1),(115,1),(126,1),(129,1),(130,1),(158,1)}
       111:{1,3,5}:{(89,1),(90,1),(92,1),(130,1),(131,1),(161,1)}
       112:{2,4}:{(91,1),(121,1),(128,1),(132,1)}
       113:{4,5}:{(92,1),(123,1)}
       114:{1,5,7}:{(93,1),(109,1),(133,1),(140,1),(147,1),(166,1)}
       115:{2,6}:{(93,1),(94,1),(133,1)}
       116:{1,3,6,7}:{(94,1),(95,1),(100,1),(134,1),(136,1),(138,1)}
       117:{1,3,5,6}:{(94,1),(96,1),(101,1),(111,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,5,7}:{(95,1),(96,1),(102,1)}
       119:{1,4,7}:{(97,1),(98,1),(103,1),(138,1)}
       120:{1,3,6}:{(98,1),(99,1),(104,1),(138,1),(139,1)}
       121:{2,5}:{(99,1),(112,1),(139,1),(140,1)}
       122:{3,5,7}:{(100,1),(101,1),(102,1),(141,1)}
       123:{4,6}:{(101,1),(113,1),(141,1)}
       124:{3,7}:{(103,1),(104,1)}
       125:{1,3,7}:{(105,1),(109,1),(142,1),(143,1),(146,1)}
       126:{2,3,6}:{(105,1),(106,1),(110,1),(143,1),(144,1),(165,1),(178,1)}
       127:{1,3,5}:{(106,1),(107,1),(144,1),(145,1),(181,1),(187,1)}
       128:{2,3}:{(108,1),(112,1),(146,1)}
       129:{1,4,6}:{(109,1),(110,1),(133,1),(143,1),(147,1),(168,1)}
       130:{2,5}:{(110,1),(111,1),(147,1)}
       131:{1,4,5}:{(111,1),(113,1),(137,1),(145,1),(148,1),(181,1)}
       132:{1,4}:{(112,1),(140,1),(146,1)}
       133:{1,6}:{(114,1),(115,1)}
       134:{2,6,7}:{(115,1),(116,1),(149,1),(151,1),(154,1)}
       135:{2,5,6}:{(115,1),(117,1),(130,1),(150,1),(151,1),(152,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(151,1),(153,1),(173,1)}
       137:{1,4,6}:{(117,1),(123,1),(131,1),(152,1),(153,1),(183,1)}
       138:{1,3,7}:{(119,1),(120,1),(124,1),(154,1)}
       139:{2,6}:{(120,1),(121,1),(154,1),(155,1)}
       140:{1,5}:{(121,1),(132,1),(155,1)}
       141:{4,7}:{(122,1),(123,1)}
       142:{1,2,7}:{(125,1),(156,1),(159,1),(182,1)}
       143:{1,3,6}:{(125,1),(126,1),(129,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(130,1),(157,1),(158,1),(161,1),(176,1),(184,1)}
       145:{1,4}:{(127,1),(158,1)}
       146:{1,3}:{(128,1),(132,1),(159,1)}
       147:{1,5}:{(129,1),(130,1)}
       148:{2,4,5}:{(130,1),(131,1),(152,1),(158,1),(160,1),(161,1),(176,1)}
       149:{1,6,7}:{(133,1),(134,1),(162,1),(166,1)}
       150:{1,5,6}:{(133,1),(135,1),(147,1),(162,1),(163,1)}
       151:{2,5,7}:{(134,1),(135,1),(136,1),(162,1),(164,1)}
       152:{2,4,6}:{(135,1),(137,1),(148,1),(163,1),(164,1),(165,1),(178,1)}
       153:{1,4,7}:{(136,1),(137,1),(141,1),(164,1),(186,1)}
       154:{2,7}:{(138,1),(139,1),(166,1)}
       155:{1,6}:{(139,1),(140,1),(166,1)}
       156:{1,2,6}:{(142,1),(143,1),(167,1),(178,1)}
       157:{1,3,5}:{(143,1),(144,1),(147,1),(167,1),(168,1),(179,1)}
       158:{2,4}:{(144,1),(145,1),(168,1),(169,1)}
       159:{1,2}:{(146,1)}
       160:{1,4,5}:{(147,1),(148,1),(163,1),(168,1),(170,1)}
       161:{3,5}:{(148,1),(165,1),(169,1)}
       162:{1,5,7}:{(149,1),(150,1),(151,1),(171,1)}
       163:{1,4,6}:{(150,1),(152,1),(160,1),(171,1),(172,1)}
       164:{2,4,7}:{(151,1),(152,1),(153,1),(171,1),(173,1),(182,1)}
       165:{3,6}:{(152,1),(161,1),(173,1)}
       166:{1,7}:{(154,1),(155,1)}
       167:{1,2,5}:{(156,1),(157,1),(174,1),(176,1)}
       168:{1,4}:{(157,1),(158,1)}
       169:{3,4}:{(158,1),(161,1)}
       170:{1,3,5}:{(160,1),(161,1),(172,1),(175,1),(176,1)}
       171:{1,4,7}:{(162,1),(163,1),(164,1),(177,1)}
       172:{1,3,6}:{(163,1),(165,1),(170,1),(177,1),(178,1)}
       173:{3,7}:{(164,1),(165,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(172,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 214 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(20,1),(46,1),(87,1),(134,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(35,1),(62,1),(105,1),(114,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(9,1),(30,1),(152,1)}
         3:{1,2,6}:{(0,1),(7,1),(70,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(41,1),(53,1),(80,1),(102,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(18,1),(39,1),(42,1),(45,1),(46,1),(55,1),(80,1),(89,1)}
         6:{1,4,7}:{(1,1),(13,1),(17,1),(56,1),(135,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(127,1)}
         8:{1,3,7}:{(2,1),(18,1),(19,1),(165,1),(184,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(51,1),(56,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(33,1),(61,1),(64,1),(69,1),(78,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(59,1),(125,1)}
        12:{1,2,6}:{(4,1),(22,1),(106,1)}
        13:{2,4,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(7,1),(22,1),(27,1),(65,1),(70,1),(106,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(28,1),(29,1),(32,1),(73,1),(76,1),(105,1),(122,1),(150,1),(171,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(26,1),(28,1),(30,1),(31,1),(122,1),(153,1),(156,1)}
        17:{1,4,6}:{(6,1),(7,1),(27,1),(32,1)}
        18:{2,3,7}:{(8,1),(30,1),(33,1),(34,1),(156,1),(175,1),(177,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(178,1)}
        20:{1,2,5}:{(9,1),(32,1),(35,1),(75,1),(179,1)}
        21:{1,4,7}:{(10,1),(13,1),(38,1),(90,1),(103,1)}
        22:{1,3,6}:{(10,1),(12,1),(14,1),(38,1),(95,1)}
        23:{1,3,7}:{(11,1),(39,1),(40,1),(143,1),(188,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(85,1),(90,1)}
        25:{2,4,5,7}:{(13,1),(15,1),(36,1),(42,1),(43,1),(45,1),(46,1),(80,1),(93,1),(94,1),(101,1),(133,1),(137,1),(140,1),(162,1)}
        26:{3,4,7}:{(13,1),(42,1),(44,1),(104,1),(136,1),(137,1)}
        27:{2,4,6}:{(13,1),(14,1),(17,1),(38,1),(44,1),(45,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(46,1),(47,1),(52,1),(164,1),(180,1)}
        29:{1,4,6}:{(15,1),(43,1),(47,1),(49,1),(127,1)}
        30:{2,4,7}:{(16,1),(18,1),(46,1),(50,1),(51,1),(166,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(19,1),(44,1),(47,1),(51,1),(52,1),(56,1),(99,1),(104,1),(141,1)}
        32:{1,5}:{(17,1),(45,1)}
        33:{1,3,7}:{(18,1),(50,1),(53,1),(54,1),(183,1)}
        34:{2,3,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(141,1),(168,1)}
        35:{1,3,5}:{(19,1),(20,1),(55,1),(56,1),(169,1),(170,1)}
        36:{1,4,5,7}:{(21,1),(25,1),(57,1),(58,1),(61,1),(69,1),(109,1),(112,1),(123,1),(149,1),(154,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(26,1),(57,1),(59,1),(60,1),(126,1),(149,1),(173,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(61,1)}
        39:{2,3,7}:{(23,1),(59,1),(62,1),(63,1),(158,1),(173,1),(185,1)}
        40:{1,3,6}:{(23,1),(24,1),(63,1),(64,1),(186,1)}
        41:{1,2,5}:{(24,1),(61,1),(64,1),(111,1),(187,1)}
        42:{3,5,7}:{(25,1),(26,1),(65,1),(68,1),(124,1),(151,1),(156,1),(173,1)}
        43:{2,4,6}:{(25,1),(29,1),(58,1),(65,1),(67,1),(70,1),(106,1),(117,1)}
        44:{3,4,6}:{(26,1),(27,1),(65,1),(68,1),(117,1)}
        45:{2,5}:{(27,1),(32,1),(61,1),(68,1)}
        46:{2,5,7}:{(28,1),(30,1),(69,1),(70,1),(75,1),(174,1),(185,1)}
        47:{1,3,6}:{(28,1),(29,1),(65,1),(70,1)}
        48:{1,4,6,7}:{(29,1),(66,1),(71,1),(73,1),(122,1),(145,1),(171,1)}
        49:{1,5,6}:{(29,1),(32,1),(67,1),(73,1)}
        50:{1,4,7}:{(30,1),(33,1),(69,1),(74,1),(176,1)}
        51:{2,4,6}:{(30,1),(31,1),(34,1),(70,1),(74,1),(75,1),(79,1)}
        52:{1,3,5}:{(31,1),(32,1),(68,1),(75,1),(76,1),(124,1)}
        53:{1,2,7}:{(33,1),(77,1),(177,1),(187,1)}
        54:{1,3,6}:{(33,1),(34,1),(74,1),(77,1),(78,1)}
        55:{2,3,5}:{(34,1),(35,1),(75,1),(78,1),(79,1),(124,1),(157,1),(158,1)}
        56:{1,4}:{(35,1),(79,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(42,1),(80,1),(81,1),(86,1),(142,1),(167,1)}
        58:{1,4,6}:{(36,1),(43,1),(81,1),(83,1),(95,1)}
        59:{2,4,7}:{(37,1),(39,1),(80,1),(84,1),(85,1),(144,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(40,1),(44,1),(81,1),(85,1),(86,1),(90,1),(131,1),(136,1),(163,1)}
        61:{1,5}:{(38,1),(45,1)}
        62:{1,3,7}:{(39,1),(84,1),(87,1),(88,1),(170,1)}
        63:{2,3,6}:{(39,1),(40,1),(85,1),(88,1),(89,1),(163,1),(181,1)}
        64:{1,3,5}:{(40,1),(41,1),(89,1),(90,1),(182,1),(183,1)}
        65:{3,6}:{(42,1),(43,1)}
        66:{2,4,6,7}:{(43,1),(48,1),(82,1),(91,1),(93,1),(96,1),(128,1),(137,1),(140,1),(162,1)}
        67:{2,5,6}:{(43,1),(45,1),(49,1),(83,1),(92,1),(93,1)}
        68:{3,5}:{(44,1),(45,1),(94,1)}
        69:{1,5,7}:{(46,1),(50,1),(95,1),(100,1),(182,1),(188,1)}
        70:{2,6}:{(46,1),(47,1),(95,1)}
        71:{1,3,6,7}:{(47,1),(48,1),(91,1),(96,1),(98,1),(180,1)}
        72:{1,3,5,6}:{(47,1),(49,1),(52,1),(92,1),(97,1),(98,1),(99,1),(141,1)}
        73:{1,5,7}:{(48,1),(49,1),(93,1)}
        74:{1,4,6}:{(50,1),(51,1),(54,1),(95,1),(100,1),(103,1)}
        75:{2,5}:{(51,1),(52,1),(100,1)}
        76:{1,4,5}:{(52,1),(56,1),(94,1),(99,1),(101,1),(169,1)}
        77:{1,2,6}:{(53,1),(54,1),(102,1),(168,1)}
        78:{1,3,5}:{(54,1),(55,1),(100,1),(102,1),(103,1),(143,1)}
        79:{2,4}:{(55,1),(56,1),(103,1),(104,1)}
        80:{2,5,7}:{(57,1),(59,1),(105,1),(106,1),(111,1),(157,1),(177,1)}
        81:{1,3,6}:{(57,1),(58,1),(65,1),(106,1)}
        82:{1,4,6,7}:{(58,1),(66,1),(107,1),(109,1),(118,1),(149,1),(154,1)}
        83:{1,5,6}:{(58,1),(61,1),(67,1),(109,1)}
        84:{1,4,7}:{(59,1),(62,1),(105,1),(110,1),(159,1)}
        85:{2,4,6}:{(59,1),(60,1),(63,1),(106,1),(110,1),(111,1),(115,1)}
        86:{1,3,5}:{(60,1),(61,1),(68,1),(111,1),(112,1),(151,1)}
        87:{1,2,7}:{(62,1),(113,1),(179,1),(185,1)}
        88:{1,3,6}:{(62,1),(63,1),(110,1),(113,1),(114,1)}
        89:{2,3,5}:{(63,1),(64,1),(111,1),(114,1),(115,1),(151,1),(174,1),(175,1)}
        90:{1,4}:{(64,1),(115,1)}
        91:{3,6,7}:{(65,1),(66,1),(116,1),(156,1),(173,1)}
        92:{3,5,6}:{(65,1),(67,1),(68,1),(116,1),(117,1)}
        93:{2,5,7}:{(66,1),(67,1),(73,1),(109,1),(116,1)}
        94:{4,5}:{(68,1),(117,1)}
        95:{1,6}:{(69,1),(70,1)}
        96:{2,6,7}:{(70,1),(71,1),(118,1),(120,1),(185,1)}
        97:{2,5,6}:{(70,1),(72,1),(75,1),(119,1),(120,1),(121,1)}
        98:{1,3,5,7}:{(71,1),(72,1),(73,1),(116,1),(120,1),(122,1),(156,1)}
        99:{1,4,6}:{(72,1),(76,1),(117,1),(121,1),(122,1),(178,1)}
       100:{1,5}:{(74,1),(75,1)}
       101:{2,4,5}:{(75,1),(76,1),(79,1),(121,1),(123,1),(124,1),(157,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1),(157,1)}
       103:{1,4}:{(78,1),(79,1)}
       104:{3,4}:{(79,1),(124,1)}
       105:{1,5,7}:{(80,1),(84,1),(127,1),(132,1),(169,1),(184,1)}
       106:{2,6}:{(80,1),(81,1),(127,1)}
       107:{1,3,6,7}:{(81,1),(82,1),(91,1),(128,1),(130,1),(167,1)}
       108:{1,3,5,6}:{(81,1),(83,1),(86,1),(92,1),(129,1),(130,1),(131,1),(163,1)}
       109:{1,5,7}:{(82,1),(83,1),(93,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(127,1),(132,1),(135,1)}
       111:{2,5}:{(85,1),(86,1),(132,1)}
       112:{1,4,5}:{(86,1),(90,1),(94,1),(131,1),(133,1),(182,1)}
       113:{1,2,6}:{(87,1),(88,1),(134,1),(181,1)}
       114:{1,3,5}:{(88,1),(89,1),(132,1),(134,1),(135,1),(165,1)}
       115:{2,4}:{(89,1),(90,1),(135,1),(136,1)}
       116:{3,5,7}:{(91,1),(92,1),(93,1),(137,1)}
       117:{4,6}:{(92,1),(94,1),(137,1)}
       118:{1,6,7}:{(95,1),(96,1),(138,1),(188,1)}
       119:{1,5,6}:{(95,1),(97,1),(100,1),(138,1),(139,1)}
       120:{2,5,7}:{(96,1),(97,1),(98,1),(138,1),(140,1)}
       121:{2,4,6}:{(97,1),(99,1),(101,1),(139,1),(140,1),(141,1),(168,1)}
       122:{1,4,7}:{(98,1),(99,1),(137,1),(140,1),(184,1)}
       123:{1,4,5}:{(100,1),(101,1),(103,1),(139,1),(142,1)}
       124:{3,5}:{(101,1),(104,1),(141,1)}
       125:{1,2,4}:{(102,1),(103,1),(143,1),(144,1)}
       126:{1,3,4}:{(103,1),(104,1),(142,1),(143,1),(144,1)}
       127:{1,6}:{(105,1),(106,1)}
       128:{2,6,7}:{(106,1),(107,1),(145,1),(147,1),(177,1)}
       129:{2,5,6}:{(106,1),(108,1),(111,1),(146,1),(147,1),(148,1)}
       130:{1,3,5,7}:{(107,1),(108,1),(109,1),(116,1),(147,1),(149,1),(173,1)}
       131:{1,4,6}:{(108,1),(112,1),(117,1),(148,1),(149,1),(186,1)}
       132:{1,5}:{(110,1),(111,1)}
       133:{2,4,5}:{(111,1),(112,1),(115,1),(148,1),(150,1),(151,1),(174,1)}
       134:{1,2,5}:{(113,1),(114,1),(152,1),(174,1)}
       135:{1,4}:{(114,1),(115,1)}
       136:{3,4}:{(115,1),(151,1)}
       137:{4,7}:{(116,1),(117,1)}
       138:{1,5,7}:{(118,1),(119,1),(120,1),(154,1)}
       139:{1,4,6}:{(119,1),(121,1),(123,1),(154,1),(155,1)}
       140:{2,4,7}:{(120,1),(121,1),(122,1),(154,1),(156,1),(177,1)}
       141:{3,6}:{(121,1),(124,1),(156,1)}
       142:{1,3,5}:{(123,1),(124,1),(126,1),(155,1),(157,1)}
       143:{1,3}:{(125,1),(158,1)}
       144:{2,4}:{(126,1),(157,1),(158,1),(159,1)}
       145:{1,6,7}:{(127,1),(128,1),(160,1),(184,1)}
       146:{1,5,6}:{(127,1),(129,1),(132,1),(160,1),(161,1)}
       147:{2,5,7}:{(128,1),(129,1),(130,1),(160,1),(162,1)}
       148:{2,4,6}:{(129,1),(131,1),(133,1),(161,1),(162,1),(163,1),(181,1)}
       149:{1,4,7}:{(130,1),(131,1),(137,1),(162,1),(188,1)}
       150:{1,4,5}:{(132,1),(133,1),(135,1),(161,1),(164,1)}
       151:{3,5}:{(133,1),(136,1),(163,1)}
       152:{1,2,4}:{(134,1),(135,1),(165,1),(166,1)}
       153:{1,3,4}:{(135,1),(136,1),(164,1),(165,1),(166,1)}
       154:{1,4,7}:{(138,1),(139,1),(140,1),(167,1)}
       155:{1,3,6}:{(139,1),(141,1),(142,1),(167,1),(168,1)}
       156:{3,7}:{(140,1),(141,1)}
       157:{2,5}:{(142,1),(144,1),(168,1),(169,1)}
       158:{2,3}:{(143,1),(144,1),(170,1)}
       159:{1,4}:{(144,1),(169,1),(170,1)}
       160:{1,5,7}:{(145,1),(146,1),(147,1),(171,1)}
       161:{1,4,6}:{(146,1),(148,1),(150,1),(171,1),(172,1)}
       162:{2,4,7}:{(147,1),(148,1),(149,1),(171,1),(173,1),(185,1)}
       163:{3,6}:{(148,1),(151,1),(173,1)}
       164:{1,3,5}:{(150,1),(151,1),(153,1),(172,1),(174,1)}
       165:{1,3}:{(152,1),(175,1)}
       166:{2,4}:{(153,1),(174,1),(175,1),(176,1)}
       167:{1,3,7}:{(154,1),(155,1),(156,1),(177,1)}
       168:{2,6}:{(155,1),(157,1),(177,1),(178,1)}
       169:{1,5}:{(157,1),(159,1),(178,1)}
       170:{1,3}:{(158,1),(159,1),(179,1)}
       171:{1,4,7}:{(160,1),(161,1),(162,1),(180,1)}
       172:{1,3,6}:{(161,1),(163,1),(164,1),(180,1),(181,1)}
       173:{3,7}:{(162,1),(163,1)}
       174:{2,5}:{(164,1),(166,1),(181,1),(182,1)}
       175:{2,3}:{(165,1),(166,1),(183,1)}
       176:{1,4}:{(166,1),(182,1),(183,1)}
       177:{2,7}:{(167,1),(168,1),(184,1)}
       178:{1,6}:{(168,1),(169,1),(184,1)}
       179:{1,2}:{(170,1)}
       180:{1,3,7}:{(171,1),(172,1),(173,1),(185,1)}
       181:{2,6}:{(172,1),(174,1),(185,1),(186,1)}
       182:{1,5}:{(174,1),(176,1),(186,1)}
       183:{1,3}:{(175,1),(176,1),(187,1)}
       184:{1,7}:{(177,1),(178,1)}
       185:{2,7}:{(180,1),(181,1),(188,1)}
       186:{1,6}:{(181,1),(182,1),(188,1)}
       187:{1,2}:{(183,1)}
       188:{1,7}:{(185,1),(186,1)}

 215 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 216 :   0:{1,2,4}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(6,1),(7,1),(20,1),(77,1)}
         3:{1,2}:{(8,1)}
         4:{2,3}:{(1,1),(8,1),(10,1)}
         5:{1,3,4}:{(1,1),(10,1),(12,1),(13,1),(34,1)}
         6:{1,3,5}:{(1,1),(2,1),(11,1),(13,1),(14,1),(39,1),(62,1),(85,1)}
         7:{1,2,6}:{(2,1),(14,1),(15,1),(33,1)}
         8:{1,3}:{(3,1),(4,1),(16,1)}
         9:{1,2,5}:{(3,1),(17,1),(18,1),(19,1),(71,1)}
        10:{2,4}:{(4,1),(5,1),(16,1),(20,1)}
        11:{2,3,5}:{(4,1),(6,1),(17,1),(20,1),(21,1),(22,1),(46,1),(47,1),(51,1),(71,1)}
        12:{1,3,5}:{(5,1),(20,1),(23,1),(24,1),(47,1)}
        13:{1,4}:{(6,1),(21,1)}
        14:{1,3,6}:{(6,1),(7,1),(22,1),(25,1),(26,1),(95,1)}
        15:{1,2,7}:{(7,1),(26,1),(49,1)}
        16:{1,4}:{(8,1),(10,1),(27,1)}
        17:{1,3,5}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(30,1),(60,1)}
        18:{1,2,4}:{(9,1),(28,1),(30,1),(59,1)}
        19:{1,2,6}:{(9,1),(29,1),(31,1),(86,1)}
        20:{2,5}:{(10,1),(12,1),(27,1),(33,1)}
        21:{2,4}:{(11,1),(13,1),(28,1),(34,1)}
        22:{2,3,6}:{(11,1),(14,1),(29,1),(33,1),(35,1),(36,1),(63,1),(86,1)}
        23:{1,4,5}:{(12,1),(13,1),(32,1),(37,1),(39,1),(85,1)}
        24:{1,3,6}:{(12,1),(33,1),(37,1),(38,1),(63,1)}
        25:{1,4,6}:{(13,1),(14,1),(35,1),(39,1),(40,1),(70,1)}
        26:{1,3,7}:{(14,1),(15,1),(36,1),(40,1),(101,1)}
        27:{1,5}:{(16,1),(20,1),(42,1)}
        28:{1,4}:{(17,1),(21,1)}
        29:{1,3,6}:{(17,1),(19,1),(22,1),(42,1),(44,1),(45,1)}
        30:{1,3}:{(18,1),(46,1)}
        31:{1,2,7}:{(19,1),(45,1),(96,1)}
        32:{2,4,5}:{(20,1),(21,1),(23,1),(41,1),(47,1),(48,1),(51,1),(71,1),(81,1)}
        33:{2,6}:{(20,1),(24,1),(42,1),(49,1)}
        34:{3,4}:{(21,1),(47,1)}
        35:{2,4,6}:{(21,1),(22,1),(25,1),(44,1),(50,1),(51,1),(52,1),(83,1)}
        36:{2,3,7}:{(22,1),(26,1),(45,1),(49,1),(52,1),(79,1),(96,1)}
        37:{1,4,6}:{(23,1),(24,1),(48,1),(53,1),(54,1),(95,1)}
        38:{1,3,7}:{(24,1),(49,1),(54,1),(79,1)}
        39:{1,5}:{(25,1),(51,1)}
        40:{1,4,7}:{(25,1),(26,1),(52,1),(55,1)}
        41:{1,4,5}:{(27,1),(28,1),(32,1),(56,1),(57,1),(60,1)}
        42:{1,6}:{(27,1),(33,1),(58,1)}
        43:{1,3,4}:{(28,1),(30,1),(34,1),(56,1),(59,1)}
        44:{1,4,6}:{(28,1),(29,1),(35,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(29,1),(31,1),(36,1),(58,1),(61,1)}
        46:{2,3}:{(30,1),(59,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(63,1)}
        48:{2,4,6}:{(32,1),(33,1),(37,1),(57,1),(63,1),(64,1),(65,1),(86,1),(90,1)}
        49:{2,7}:{(33,1),(38,1),(58,1)}
        50:{3,4,6}:{(34,1),(35,1),(63,1),(66,1),(67,1),(90,1),(94,1)}
        51:{2,5}:{(35,1),(39,1),(60,1),(66,1)}
        52:{2,4,7}:{(35,1),(36,1),(40,1),(61,1),(67,1),(68,1)}
        53:{1,5,6}:{(37,1),(39,1),(64,1),(69,1),(70,1)}
        54:{1,4,7}:{(37,1),(38,1),(65,1),(69,1),(101,1)}
        55:{1,5,7}:{(39,1),(40,1),(68,1),(70,1)}
        56:{1,3,5}:{(41,1),(43,1),(47,1),(71,1),(72,1)}
        57:{1,4,6}:{(41,1),(42,1),(48,1),(72,1),(73,1),(74,1)}
        58:{1,7}:{(42,1),(49,1)}
        59:{2,4}:{(43,1),(46,1),(71,1),(75,1)}
        60:{1,5}:{(44,1),(51,1)}
        61:{1,4,7}:{(44,1),(45,1),(52,1),(76,1)}
        62:{1,3}:{(46,1),(75,1),(77,1)}
        63:{3,6}:{(47,1),(48,1),(79,1)}
        64:{2,5,6}:{(48,1),(51,1),(53,1),(73,1),(78,1),(80,1),(83,1)}
        65:{2,4,7}:{(48,1),(49,1),(54,1),(74,1),(79,1),(80,1),(96,1),(98,1)}
        66:{3,5}:{(50,1),(51,1),(81,1)}
        67:{3,4,7}:{(50,1),(52,1),(79,1),(82,1),(98,1)}
        68:{2,5,7}:{(51,1),(52,1),(55,1),(76,1),(82,1),(83,1)}
        69:{1,5,7}:{(53,1),(54,1),(80,1),(84,1)}
        70:{1,6}:{(55,1),(83,1)}
        71:{2,5}:{(56,1),(59,1),(85,1),(86,1)}
        72:{1,3,6}:{(56,1),(57,1),(63,1),(86,1),(87,1)}
        73:{1,5,6}:{(57,1),(60,1),(64,1),(88,1),(89,1)}
        74:{1,4,7}:{(57,1),(58,1),(65,1),(87,1),(88,1)}
        75:{1,4}:{(59,1),(62,1),(85,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,2}:{(62,1)}
        78:{3,5,6}:{(63,1),(64,1),(66,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(63,1),(65,1)}
        80:{2,5,7}:{(64,1),(65,1),(69,1),(88,1),(91,1),(92,1)}
        81:{4,5}:{(66,1),(90,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(93,1),(94,1)}
        83:{2,6}:{(68,1),(70,1),(89,1),(94,1)}
        84:{1,6,7}:{(69,1),(70,1),(92,1)}
        85:{1,5}:{(71,1),(75,1),(95,1)}
        86:{2,6}:{(71,1),(72,1),(95,1),(96,1)}
        87:{1,3,7}:{(72,1),(74,1),(79,1),(96,1)}
        88:{1,5,7}:{(73,1),(74,1),(80,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(84,1),(97,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(92,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 217 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 218 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 219 :   0:{1,6,7}:{(4,1),(7,1),(94,1)}
         1:{1,5,6}:{(5,1),(7,1),(8,1),(83,1),(94,1)}
         2:{1,4,5}:{(6,1),(8,1),(9,1),(56,1),(62,1),(83,1)}
         3:{1,3,4}:{(9,1),(10,1),(30,1),(34,1),(62,1),(86,1)}
         4:{2,6,7}:{(0,1),(11,1),(14,1),(16,1),(89,1),(98,1)}
         5:{2,5,6}:{(1,1),(12,1),(15,1),(16,1),(17,1),(73,1),(89,1),(91,1),(98,1)}
         6:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(22,1),(41,1),(43,1),(46,1),(73,1),(76,1),(91,1),(100,1)}
         7:{1,5,7}:{(0,1),(1,1),(16,1),(20,1)}
         8:{1,4,6}:{(1,1),(2,1),(17,1),(20,1),(21,1),(70,1)}
         9:{1,3,5}:{(2,1),(3,1),(18,1),(21,1),(22,1)}
        10:{2,4}:{(3,1),(19,1),(22,1),(23,1),(50,1)}
        11:{1,6,7}:{(4,1),(24,1),(94,1)}
        12:{1,5,6}:{(5,1),(24,1),(25,1),(83,1),(94,1)}
        13:{1,4,5}:{(6,1),(25,1),(26,1),(37,1),(62,1),(83,1)}
        14:{3,6,7}:{(4,1),(27,1),(28,1),(81,1),(101,1)}
        15:{3,5,6}:{(5,1),(28,1),(29,1),(32,1),(57,1),(59,1),(81,1),(96,1),(101,1),(104,1)}
        16:{2,5,7}:{(4,1),(5,1),(7,1),(24,1),(28,1),(31,1)}
        17:{2,4,6}:{(5,1),(6,1),(8,1),(25,1),(29,1),(31,1),(32,1),(36,1),(55,1)}
        18:{3,5}:{(6,1),(30,1),(32,1),(86,1)}
        19:{2,3}:{(10,1),(34,1),(86,1)}
        20:{1,4,7}:{(7,1),(8,1),(31,1),(35,1),(80,1)}
        21:{1,3,6}:{(8,1),(9,1),(32,1),(35,1),(36,1)}
        22:{2,5}:{(9,1),(10,1),(36,1),(37,1)}
        23:{1,4}:{(10,1),(34,1),(37,1)}
        24:{1,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,4,6}:{(12,1),(13,1),(17,1),(39,1),(40,1),(52,1)}
        26:{1,3,5}:{(13,1),(18,1),(38,1),(40,1),(41,1)}
        27:{4,6,7}:{(14,1),(42,1),(44,1),(71,1),(103,1)}
        28:{3,5,7}:{(14,1),(15,1),(16,1),(42,1),(44,1),(47,1)}
        29:{4,6}:{(15,1),(43,1),(44,1),(100,1)}
        30:{3,4}:{(18,1),(46,1),(100,1)}
        31:{2,4,7}:{(16,1),(17,1),(20,1),(39,1),(44,1),(47,1),(51,1),(69,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{2,3,5}:{(18,1),(19,1),(22,1),(41,1),(46,1),(48,1),(49,1),(67,1),(73,1)}
        34:{1,3}:{(19,1),(23,1),(50,1)}
        35:{1,3,7}:{(20,1),(21,1),(47,1),(51,1)}
        36:{2,6}:{(21,1),(22,1),(51,1),(52,1)}
        37:{1,5}:{(22,1),(23,1),(52,1)}
        38:{1,3,4}:{(26,1),(30,1),(53,1),(62,1),(79,1),(86,1)}
        39:{1,4,7}:{(24,1),(25,1),(31,1),(54,1),(66,1)}
        40:{1,3,6}:{(25,1),(26,1),(32,1),(54,1),(55,1)}
        41:{2,5}:{(26,1),(53,1),(55,1),(56,1)}
        42:{5,7}:{(27,1),(57,1),(104,1)}
        43:{4,5}:{(29,1),(59,1),(104,1)}
        44:{4,7}:{(28,1),(29,1)}
        45:{3,4,6}:{(29,1),(30,1),(32,1),(59,1),(60,1),(61,1),(81,1)}
        46:{2,4}:{(30,1),(33,1),(62,1)}
        47:{3,7}:{(31,1),(32,1)}
        48:{2,3,6}:{(32,1),(33,1),(36,1),(55,1),(61,1),(63,1),(64,1)}
        49:{1,3,5}:{(33,1),(34,1),(37,1),(56,1),(62,1),(64,1),(65,1),(79,1),(83,1),(86,1),(96,1)}
        50:{2}:{(34,1)}
        51:{2,7}:{(35,1),(36,1),(66,1)}
        52:{1,6}:{(36,1),(37,1),(66,1)}
        53:{2,4}:{(38,1),(41,1),(67,1),(68,1),(88,1)}
        54:{1,3,7}:{(39,1),(40,1),(47,1),(69,1)}
        55:{2,6}:{(40,1),(41,1),(69,1),(70,1)}
        56:{1,5}:{(41,1),(68,1),(70,1)}
        57:{5,6}:{(42,1),(71,1)}
        58:{4,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1)}
        59:{3,5}:{(43,1),(45,1),(73,1)}
        60:{3,4,7}:{(44,1),(45,1),(47,1),(72,1),(74,1)}
        61:{2,4,6}:{(45,1),(46,1),(48,1),(73,1),(74,1),(75,1),(89,1)}
        62:{1,4}:{(46,1),(49,1),(76,1),(100,1)}
        63:{2,3,7}:{(47,1),(48,1),(51,1),(69,1),(74,1),(77,1)}
        64:{1,3,6}:{(48,1),(49,1),(52,1),(70,1),(75,1),(77,1),(78,1),(93,1)}
        65:{2,5}:{(49,1),(50,1),(76,1),(78,1),(88,1)}
        66:{1,7}:{(51,1),(52,1)}
        67:{2,3}:{(53,1),(79,1),(86,1)}
        68:{1,4}:{(53,1),(56,1),(79,1)}
        69:{2,7}:{(54,1),(55,1),(80,1)}
        70:{1,6}:{(55,1),(56,1),(80,1)}
        71:{4,6}:{(57,1),(58,1),(81,1)}
        72:{3,5,7}:{(58,1),(59,1),(60,1),(81,1),(82,1)}
        73:{2,5}:{(59,1),(61,1),(83,1)}
        74:{2,4,7}:{(60,1),(61,1),(63,1),(82,1),(84,1)}
        75:{1,4,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(85,1),(94,1)}
        76:{2,4}:{(62,1),(65,1),(86,1)}
        77:{1,3,7}:{(63,1),(64,1),(66,1),(80,1),(84,1),(87,1),(97,1)}
        78:{2,6}:{(64,1),(65,1),(87,1)}
        79:{1,3}:{(67,1),(68,1),(88,1)}
        80:{1,7}:{(69,1),(70,1)}
        81:{3,6}:{(71,1),(72,1),(89,1)}
        82:{2,5,7}:{(72,1),(73,1),(74,1),(89,1),(90,1)}
        83:{1,5}:{(73,1),(75,1),(91,1)}
        84:{1,4,7}:{(74,1),(75,1),(77,1),(90,1),(92,1)}
        85:{2,4,6}:{(75,1),(76,1),(78,1),(91,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        86:{3}:{(76,1)}
        87:{2,7}:{(77,1),(78,1)}
        88:{2}:{(79,1)}
        89:{2,6}:{(81,1),(82,1),(94,1)}
        90:{1,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1)}
        91:{2,5}:{(83,1),(85,1),(96,1),(104,1)}
        92:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(102,1)}
        93:{3,6}:{(85,1),(86,1),(96,1),(97,1)}
        94:{1,6}:{(89,1),(90,1),(98,1)}
        95:{2,5,7}:{(90,1),(91,1),(92,1),(98,1),(99,1)}
        96:{3,5}:{(91,1),(93,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{2,6}:{(94,1),(95,1),(101,1)}
        99:{3,5,7}:{(95,1),(96,1),(97,1),(101,1),(102,1),(104,1)}
       100:{4}:{(96,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{4,7}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 220 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(28,1),(34,1),(61,1),(64,1),(76,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(76,1),(114,1),(120,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(43,1),(56,1),(90,1),(92,1),(93,1),(94,1),(100,1),(127,1),(129,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(12,1),(13,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(13,1),(14,1),(87,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(29,1),(60,1),(64,1),(79,1),(108,1),(111,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(23,1),(66,1),(80,1),(114,1),(120,1),(143,1),(145,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(23,1),(24,1),(30,1),(62,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(120,1),(150,1),(171,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(27,1),(28,1),(76,1),(109,1),(144,1)}
        12:{2,5,7}:{(3,1),(5,1),(29,1),(30,1),(33,1),(163,1),(164,1)}
        13:{1,3,6}:{(3,1),(4,1),(23,1),(30,1)}
        14:{1,5,6}:{(4,1),(24,1),(28,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(29,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(30,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(37,1),(38,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(38,1),(39,1),(52,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(94,1),(98,1),(154,1),(158,1)}
        21:{2,4,6,7}:{(9,1),(11,1),(36,1),(42,1),(43,1),(50,1),(85,1),(94,1),(100,1),(129,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(12,1),(37,1),(40,1),(44,1),(45,1),(49,1),(81,1),(92,1),(125,1)}
        23:{3,6}:{(8,1),(9,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(43,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,3,6,7}:{(11,1),(13,1),(42,1),(50,1),(51,1),(156,1)}
        28:{1,5,7}:{(11,1),(14,1),(43,1)}
        29:{1,5,7}:{(12,1),(15,1),(52,1),(55,1),(169,1),(170,1)}
        30:{2,6}:{(12,1),(13,1),(52,1)}
        31:{1,3,5,6}:{(13,1),(14,1),(17,1),(46,1),(51,1),(53,1),(54,1),(102,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(52,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(111,1),(114,1),(118,1),(145,1)}
        36:{1,4,6,7}:{(19,1),(21,1),(59,1),(60,1),(74,1),(111,1),(119,1)}
        37:{2,5,7}:{(18,1),(57,1),(61,1),(62,1),(107,1),(122,1),(150,1)}
        38:{1,3,6}:{(18,1),(19,1),(23,1),(62,1)}
        39:{1,5,6}:{(19,1),(24,1),(60,1),(116,1)}
        40:{2,4,7}:{(20,1),(22,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(23,1),(65,1),(66,1),(70,1)}
        42:{3,6,7}:{(21,1),(23,1),(67,1),(120,1),(145,1)}
        43:{2,5,7}:{(21,1),(24,1),(28,1),(60,1),(67,1)}
        44:{1,3,5,7}:{(22,1),(25,1),(29,1),(61,1),(64,1),(68,1),(69,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        45:{2,3,6}:{(22,1),(23,1),(30,1),(62,1),(65,1),(69,1)}
        46:{3,5,6}:{(23,1),(24,1),(66,1),(67,1),(70,1),(147,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{2,6,7}:{(27,1),(30,1),(74,1),(75,1),(164,1)}
        51:{1,3,5,7}:{(27,1),(28,1),(31,1),(67,1),(75,1),(76,1),(120,1)}
        52:{1,6}:{(29,1),(30,1)}
        53:{2,5,6}:{(30,1),(31,1),(33,1),(75,1),(77,1),(78,1)}
        54:{1,4,6}:{(31,1),(34,1),(70,1),(76,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(78,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(37,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(38,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,3,6,7}:{(36,1),(38,1),(42,1),(85,1),(86,1),(136,1)}
        60:{1,5,7}:{(36,1),(39,1),(43,1)}
        61:{1,5,7}:{(37,1),(82,1),(87,1),(126,1),(138,1),(160,1)}
        62:{2,6}:{(37,1),(38,1),(87,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(46,1),(84,1),(86,1),(88,1),(89,1),(131,1)}
        64:{1,4,7}:{(40,1),(44,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(45,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{3,5,7}:{(42,1),(43,1),(46,1),(94,1)}
        68:{2,5,7}:{(44,1),(47,1),(90,1),(95,1),(96,1),(123,1),(133,1),(152,1)}
        69:{1,3,6}:{(44,1),(45,1),(52,1),(87,1),(91,1),(95,1),(132,1)}
        70:{4,6}:{(46,1),(93,1),(94,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(52,1),(99,1),(170,1)}
        75:{2,5,7}:{(50,1),(51,1),(53,1),(99,1),(100,1)}
        76:{1,4,7}:{(51,1),(54,1),(94,1),(100,1),(160,1)}
        77:{1,5,6}:{(52,1),(53,1),(55,1),(99,1),(101,1)}
        78:{2,4,6}:{(53,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(101,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(145,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(61,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(62,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{2,6,7}:{(59,1),(62,1),(109,1),(110,1),(150,1)}
        86:{1,3,5,7}:{(59,1),(60,1),(63,1),(67,1),(110,1),(111,1),(145,1)}
        87:{1,6}:{(61,1),(62,1)}
        88:{2,5,6}:{(62,1),(63,1),(107,1),(110,1),(112,1),(113,1)}
        89:{1,4,6}:{(63,1),(70,1),(108,1),(111,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(68,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(69,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{4,7}:{(67,1),(70,1)}
        95:{2,6}:{(68,1),(69,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(77,1),(119,1)}
       100:{2,4,7}:{(75,1),(76,1),(78,1),(119,1),(120,1),(150,1)}
       101:{1,4,6}:{(77,1),(78,1),(79,1),(119,1),(121,1)}
       102:{3,6}:{(78,1),(80,1),(120,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(121,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(87,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(87,1),(128,1),(160,1)}
       110:{2,5,7}:{(85,1),(86,1),(88,1),(128,1),(129,1)}
       111:{1,4,7}:{(86,1),(89,1),(94,1),(129,1),(170,1)}
       112:{1,5,6}:{(87,1),(88,1),(126,1),(128,1),(130,1)}
       113:{2,4,6}:{(88,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(95,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{3,7}:{(100,1),(102,1)}
       121:{1,3,6}:{(101,1),(102,1),(103,1),(136,1),(137,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(113,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(112,1),(144,1)}
       129:{2,4,7}:{(110,1),(111,1),(113,1),(144,1),(145,1),(164,1)}
       130:{1,4,6}:{(112,1),(113,1),(142,1),(144,1),(146,1)}
       131:{3,6}:{(113,1),(143,1),(145,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(121,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(130,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{3,7}:{(129,1),(131,1)}
       146:{1,3,6}:{(130,1),(131,1),(155,1),(156,1),(157,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(146,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(146,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 221 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(44,1),(74,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(56,1),(84,1)}
         2:{1,2,4}:{(0,1),(6,1),(8,1),(30,1)}
         3:{1,2,6}:{(0,1),(7,1),(9,1),(64,1)}
         4:{1,2,5}:{(10,1),(11,1),(12,1),(50,1),(68,1)}
         5:{2,3,5}:{(1,1),(10,1),(13,1),(14,1),(19,1),(38,1),(39,1),(42,1),(44,1),(68,1)}
         6:{1,4}:{(1,1),(13,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(18,1),(95,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,2,7}:{(3,1),(18,1),(82,1)}
        10:{1,3,5}:{(4,1),(5,1),(20,1),(21,1),(22,1),(33,1),(54,1),(63,1)}
        11:{1,2,4}:{(4,1),(20,1),(22,1),(53,1)}
        12:{1,2,6}:{(4,1),(21,1),(23,1),(85,1)}
        13:{2,4}:{(5,1),(6,1),(20,1),(25,1)}
        14:{2,3,6}:{(5,1),(7,1),(21,1),(26,1),(27,1),(57,1),(64,1),(85,1)}
        15:{1,4,5}:{(6,1),(24,1),(28,1),(29,1),(31,1),(84,1)}
        16:{1,3,4}:{(6,1),(8,1),(25,1),(28,1),(30,1)}
        17:{1,4,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(67,1)}
        18:{1,3,7}:{(7,1),(9,1),(27,1),(32,1),(101,1)}
        19:{2,3}:{(8,1),(30,1),(33,1)}
        20:{1,4}:{(10,1),(13,1)}
        21:{1,3,6}:{(10,1),(12,1),(14,1),(36,1),(37,1),(81,1)}
        22:{1,3}:{(11,1),(38,1)}
        23:{1,2,7}:{(12,1),(37,1),(96,1)}
        24:{2,4,5}:{(13,1),(15,1),(34,1),(39,1),(40,1),(42,1),(44,1),(68,1),(78,1)}
        25:{3,4}:{(13,1),(39,1)}
        26:{2,4,6}:{(13,1),(14,1),(17,1),(36,1),(41,1),(42,1),(43,1),(80,1)}
        27:{2,3,7}:{(14,1),(18,1),(37,1),(43,1),(76,1),(82,1),(96,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(44,1),(45,1)}
        29:{1,4,6}:{(15,1),(40,1),(45,1),(46,1),(47,1),(95,1)}
        30:{2,4}:{(16,1),(19,1),(44,1),(48,1)}
        31:{1,5}:{(17,1),(42,1)}
        32:{1,4,7}:{(17,1),(18,1),(43,1),(49,1)}
        33:{1,3}:{(19,1),(48,1),(50,1)}
        34:{1,4,5}:{(20,1),(24,1),(51,1),(52,1),(54,1),(63,1)}
        35:{1,3,4}:{(20,1),(22,1),(25,1),(51,1),(53,1)}
        36:{1,4,6}:{(20,1),(21,1),(26,1),(54,1),(55,1),(88,1)}
        37:{1,3,7}:{(21,1),(23,1),(27,1),(55,1),(94,1)}
        38:{2,3}:{(22,1),(53,1),(56,1)}
        39:{3,5}:{(24,1),(25,1),(57,1)}
        40:{2,4,6}:{(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(64,1),(85,1),(89,1)}
        41:{3,4,6}:{(25,1),(26,1),(57,1),(60,1),(61,1),(89,1),(93,1)}
        42:{2,5}:{(26,1),(31,1),(54,1),(60,1)}
        43:{2,4,7}:{(26,1),(27,1),(32,1),(55,1),(61,1),(62,1)}
        44:{2,5}:{(28,1),(30,1),(63,1),(64,1)}
        45:{1,3,6}:{(28,1),(29,1),(57,1),(64,1),(65,1)}
        46:{1,5,6}:{(29,1),(31,1),(58,1),(66,1),(67,1)}
        47:{1,4,7}:{(29,1),(59,1),(65,1),(66,1),(101,1)}
        48:{1,4}:{(30,1),(33,1),(63,1)}
        49:{1,5,7}:{(31,1),(32,1),(62,1),(67,1)}
        50:{1,2}:{(33,1)}
        51:{1,3,5}:{(34,1),(35,1),(39,1),(68,1),(69,1)}
        52:{1,4,6}:{(34,1),(40,1),(69,1),(70,1),(71,1),(81,1)}
        53:{2,4}:{(35,1),(38,1),(68,1),(72,1)}
        54:{1,5}:{(36,1),(42,1)}
        55:{1,4,7}:{(36,1),(37,1),(43,1),(73,1)}
        56:{1,3}:{(38,1),(72,1),(74,1)}
        57:{3,6}:{(39,1),(40,1),(76,1)}
        58:{2,5,6}:{(40,1),(42,1),(46,1),(70,1),(75,1),(77,1),(80,1)}
        59:{2,4,7}:{(40,1),(47,1),(71,1),(76,1),(77,1),(82,1),(96,1),(98,1)}
        60:{3,5}:{(41,1),(42,1),(78,1)}
        61:{3,4,7}:{(41,1),(43,1),(76,1),(79,1),(98,1)}
        62:{2,5,7}:{(42,1),(43,1),(49,1),(73,1),(79,1),(80,1)}
        63:{1,5}:{(44,1),(48,1),(81,1)}
        64:{2,6}:{(44,1),(45,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(47,1),(76,1),(82,1)}
        66:{1,5,7}:{(46,1),(47,1),(77,1),(83,1)}
        67:{1,6}:{(49,1),(80,1)}
        68:{2,5}:{(51,1),(53,1),(84,1),(85,1)}
        69:{1,3,6}:{(51,1),(52,1),(57,1),(85,1),(86,1)}
        70:{1,5,6}:{(52,1),(54,1),(58,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(59,1),(86,1),(87,1),(94,1)}
        72:{1,4}:{(53,1),(56,1),(84,1)}
        73:{1,5,7}:{(54,1),(55,1),(62,1),(88,1)}
        74:{1,2}:{(56,1)}
        75:{3,5,6}:{(57,1),(58,1),(60,1),(89,1),(90,1),(93,1),(103,1)}
        76:{3,7}:{(57,1),(59,1)}
        77:{2,5,7}:{(58,1),(59,1),(66,1),(87,1),(90,1),(91,1)}
        78:{4,5}:{(60,1),(89,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(92,1),(93,1)}
        80:{2,6}:{(62,1),(67,1),(88,1),(93,1)}
        81:{1,6}:{(63,1),(64,1),(94,1)}
        82:{2,7}:{(64,1),(65,1),(94,1)}
        83:{1,6,7}:{(66,1),(67,1),(91,1)}
        84:{1,5}:{(68,1),(72,1),(95,1)}
        85:{2,6}:{(68,1),(69,1),(95,1),(96,1)}
        86:{1,3,7}:{(69,1),(71,1),(76,1),(96,1)}
        87:{1,5,7}:{(70,1),(71,1),(77,1),(97,1)}
        88:{1,6}:{(73,1),(80,1)}
        89:{4,6}:{(75,1),(78,1),(98,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(98,1),(99,1),(104,1)}
        91:{2,6,7}:{(77,1),(80,1),(83,1),(97,1),(99,1)}
        92:{4,5,7}:{(78,1),(79,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(79,1),(80,1),(100,1)}
        94:{1,7}:{(81,1),(82,1)}
        95:{1,6}:{(84,1),(85,1),(101,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6,7}:{(87,1),(88,1),(91,1)}
        98:{4,7}:{(89,1),(90,1)}
        99:{3,6,7}:{(90,1),(91,1),(93,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 222 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(80,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(101,1)}
         2:{1,2,5}:{(0,1),(7,1),(9,1),(64,1),(88,1)}
         3:{1,2,7}:{(0,1),(8,1),(94,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(95,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(77,1),(80,1),(95,1)}
         6:{1,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(46,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(72,1),(97,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(17,1),(104,1)}
         9:{1,2,4}:{(2,1),(18,1),(19,1),(47,1)}
        10:{1,3,6}:{(4,1),(5,1),(20,1),(21,1),(22,1),(93,1)}
        11:{1,2,5}:{(4,1),(21,1),(23,1),(66,1),(86,1)}
        12:{1,2,7}:{(4,1),(22,1),(102,1)}
        13:{2,4,6}:{(5,1),(6,1),(20,1),(24,1),(25,1),(26,1),(27,1),(60,1)}
        14:{2,3,5}:{(5,1),(7,1),(21,1),(25,1),(27,1),(32,1),(53,1),(59,1),(64,1),(86,1)}
        15:{2,3,7}:{(5,1),(8,1),(22,1),(26,1),(92,1),(94,1),(102,1)}
        16:{1,5}:{(6,1),(25,1)}
        17:{1,4,7}:{(6,1),(8,1),(26,1),(30,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3}:{(9,1),(32,1)}
        20:{1,4,6}:{(10,1),(13,1),(33,1),(34,1),(35,1),(70,1)}
        21:{1,3,5}:{(10,1),(11,1),(14,1),(33,1),(35,1),(36,1),(48,1),(82,1)}
        22:{1,3,7}:{(10,1),(12,1),(15,1),(34,1),(100,1)}
        23:{1,2,4}:{(11,1),(35,1),(36,1),(71,1)}
        24:{3,4,6}:{(13,1),(37,1),(38,1),(42,1),(73,1),(76,1),(77,1)}
        25:{2,5}:{(13,1),(16,1),(33,1),(37,1)}
        26:{2,4,7}:{(13,1),(15,1),(17,1),(34,1),(38,1),(41,1)}
        27:{2,4}:{(14,1),(18,1),(35,1),(42,1)}
        28:{1,5,6}:{(16,1),(39,1),(43,1),(44,1),(46,1)}
        29:{1,4,5}:{(16,1),(18,1),(40,1),(43,1),(45,1),(97,1)}
        30:{1,5,7}:{(16,1),(17,1),(41,1),(46,1)}
        31:{1,3,4}:{(18,1),(19,1),(42,1),(45,1),(47,1)}
        32:{2,3}:{(19,1),(47,1),(48,1)}
        33:{1,5}:{(20,1),(25,1)}
        34:{1,4,7}:{(20,1),(22,1),(26,1),(51,1)}
        35:{1,4}:{(21,1),(27,1)}
        36:{1,3}:{(23,1),(53,1)}
        37:{3,5}:{(24,1),(25,1),(55,1)}
        38:{3,4,7}:{(24,1),(26,1),(56,1),(89,1),(92,1)}
        39:{2,5,6}:{(25,1),(28,1),(49,1),(54,1),(57,1),(58,1),(60,1)}
        40:{2,4,5}:{(25,1),(27,1),(29,1),(50,1),(55,1),(57,1),(59,1),(64,1),(86,1)}
        41:{2,5,7}:{(25,1),(26,1),(30,1),(51,1),(56,1),(60,1)}
        42:{3,4}:{(27,1),(59,1)}
        43:{1,4,6}:{(28,1),(29,1),(57,1),(61,1),(62,1),(101,1)}
        44:{1,5,7}:{(28,1),(58,1),(62,1),(63,1)}
        45:{1,3,5}:{(29,1),(31,1),(59,1),(61,1),(64,1)}
        46:{1,6}:{(30,1),(60,1)}
        47:{2,4}:{(31,1),(32,1),(64,1),(65,1)}
        48:{1,3}:{(32,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(39,1),(67,1),(68,1),(70,1)}
        50:{1,4,5}:{(33,1),(35,1),(40,1),(67,1),(69,1),(82,1)}
        51:{1,5,7}:{(33,1),(34,1),(41,1),(70,1)}
        52:{1,3,4}:{(35,1),(36,1),(42,1),(69,1),(71,1)}
        53:{2,3}:{(36,1),(71,1),(72,1)}
        54:{3,5,6}:{(37,1),(39,1),(73,1),(74,1),(76,1),(77,1),(99,1)}
        55:{4,5}:{(37,1),(73,1)}
        56:{3,5,7}:{(37,1),(38,1),(41,1),(75,1),(76,1)}
        57:{2,4,6}:{(39,1),(40,1),(43,1),(67,1),(73,1),(77,1),(78,1),(80,1),(95,1)}
        58:{2,5,7}:{(39,1),(44,1),(68,1),(74,1),(78,1),(79,1)}
        59:{3,5}:{(40,1),(42,1),(77,1)}
        60:{2,6}:{(41,1),(46,1),(70,1),(76,1)}
        61:{1,3,6}:{(43,1),(45,1),(77,1),(80,1),(81,1)}
        62:{1,4,7}:{(43,1),(44,1),(78,1),(81,1),(104,1)}
        63:{1,6,7}:{(44,1),(46,1),(79,1)}
        64:{2,5}:{(45,1),(47,1),(80,1),(82,1)}
        65:{1,4}:{(47,1),(48,1),(82,1)}
        66:{1,2}:{(48,1)}
        67:{1,4,6}:{(49,1),(50,1),(57,1),(83,1),(84,1),(93,1)}
        68:{1,5,7}:{(49,1),(58,1),(84,1),(85,1)}
        69:{1,3,5}:{(50,1),(52,1),(59,1),(83,1),(86,1)}
        70:{1,6}:{(51,1),(60,1)}
        71:{2,4}:{(52,1),(53,1),(86,1),(87,1)}
        72:{1,3}:{(53,1),(87,1),(88,1)}
        73:{4,6}:{(54,1),(55,1),(89,1)}
        74:{3,5,7}:{(54,1),(58,1),(89,1),(90,1),(92,1),(103,1)}
        75:{4,5,7}:{(55,1),(56,1),(89,1),(91,1),(103,1)}
        76:{3,6}:{(56,1),(60,1),(91,1)}
        77:{3,6}:{(57,1),(59,1),(92,1)}
        78:{2,4,7}:{(57,1),(58,1),(62,1),(84,1),(89,1),(92,1),(94,1),(102,1)}
        79:{2,6,7}:{(58,1),(60,1),(63,1),(85,1),(90,1)}
        80:{2,6}:{(61,1),(64,1),(93,1),(94,1)}
        81:{1,3,7}:{(61,1),(62,1),(92,1),(94,1)}
        82:{1,5}:{(64,1),(65,1),(93,1)}
        83:{1,3,6}:{(67,1),(69,1),(77,1),(95,1),(96,1)}
        84:{1,4,7}:{(67,1),(68,1),(78,1),(96,1),(100,1)}
        85:{1,6,7}:{(68,1),(70,1),(79,1)}
        86:{2,5}:{(69,1),(71,1),(95,1),(97,1)}
        87:{1,4}:{(71,1),(72,1),(97,1)}
        88:{1,2}:{(72,1)}
        89:{4,7}:{(73,1),(74,1)}
        90:{3,6,7}:{(74,1),(76,1),(79,1),(98,1)}
        91:{4,6}:{(75,1),(76,1),(99,1)}
        92:{3,7}:{(77,1),(78,1)}
        93:{1,6}:{(80,1),(82,1),(100,1)}
        94:{2,7}:{(80,1),(81,1),(100,1)}
        95:{2,6}:{(83,1),(86,1),(101,1),(102,1)}
        96:{1,3,7}:{(83,1),(84,1),(92,1),(102,1)}
        97:{1,5}:{(86,1),(87,1),(101,1)}
        98:{4,6,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{5,6}:{(91,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{1,6}:{(95,1),(97,1),(104,1)}
       102:{2,7}:{(95,1),(96,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

 223 :   0:{1,2,7}:{(1,1),(2,1),(96,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(104,1)}
         2:{1,2,6}:{(0,1),(6,1),(7,1),(86,1)}
         3:{1,2,7}:{(8,1),(9,1),(102,1)}
         4:{2,3,7}:{(1,1),(8,1),(10,1),(11,1),(95,1),(96,1),(102,1)}
         5:{1,4,7}:{(1,1),(10,1),(12,1),(13,1)}
         6:{1,3,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(103,1)}
         7:{1,2,5}:{(2,1),(14,1),(15,1),(71,1),(92,1)}
         8:{1,3,7}:{(3,1),(4,1),(16,1),(17,1),(101,1)}
         9:{1,2,6}:{(3,1),(17,1),(18,1),(99,1)}
        10:{2,4,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(21,1)}
        11:{2,3,6}:{(4,1),(6,1),(17,1),(21,1),(22,1),(84,1),(86,1),(99,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(24,1)}
        13:{1,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(24,1),(25,1),(26,1),(78,1),(100,1)}
        15:{1,2,4}:{(7,1),(25,1),(26,1),(55,1)}
        16:{1,4,7}:{(8,1),(10,1),(27,1),(28,1)}
        17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(97,1)}
        18:{1,2,5}:{(9,1),(29,1),(30,1),(73,1),(90,1)}
        19:{3,4,7}:{(10,1),(31,1),(32,1),(94,1),(95,1)}
        20:{2,5,7}:{(10,1),(12,1),(27,1),(31,1),(33,1),(34,1)}
        21:{2,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1),(33,1),(34,1),(35,1)}
        22:{2,3,5}:{(11,1),(14,1),(29,1),(34,1),(35,1),(40,1),(61,1),(68,1),(71,1),(90,1)}
        23:{1,6}:{(12,1),(33,1)}
        24:{1,5}:{(13,1),(34,1)}
        25:{1,4}:{(14,1),(35,1)}
        26:{1,3}:{(15,1),(40,1)}
        27:{1,5,7}:{(16,1),(20,1),(41,1),(42,1)}
        28:{1,4,6}:{(16,1),(17,1),(21,1),(41,1),(42,1),(43,1)}
        29:{1,3,5}:{(17,1),(18,1),(22,1),(42,1),(43,1),(44,1),(56,1),(87,1)}
        30:{1,2,4}:{(18,1),(43,1),(44,1),(77,1)}
        31:{3,5,7}:{(19,1),(20,1),(45,1),(46,1),(47,1)}
        32:{3,4,6}:{(19,1),(21,1),(46,1),(47,1),(51,1),(82,1),(84,1)}
        33:{2,6}:{(20,1),(23,1),(41,1),(46,1)}
        34:{2,5}:{(21,1),(24,1),(42,1),(47,1)}
        35:{2,4}:{(22,1),(25,1),(43,1),(51,1)}
        36:{1,6,7}:{(23,1),(48,1),(52,1)}
        37:{1,5,6}:{(23,1),(24,1),(49,1),(52,1),(53,1)}
        38:{1,4,5}:{(24,1),(25,1),(50,1),(53,1),(54,1),(100,1)}
        39:{1,3,4}:{(25,1),(26,1),(51,1),(54,1),(55,1)}
        40:{2,3}:{(26,1),(55,1),(56,1)}
        41:{1,6}:{(27,1),(33,1)}
        42:{1,5}:{(28,1),(34,1)}
        43:{1,4}:{(29,1),(35,1)}
        44:{1,3}:{(30,1),(61,1)}
        45:{4,5,7}:{(31,1),(62,1),(65,1),(93,1),(94,1)}
        46:{3,6}:{(31,1),(33,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(65,1)}
        48:{2,6,7}:{(33,1),(36,1),(57,1),(63,1),(66,1)}
        49:{2,5,6}:{(33,1),(34,1),(37,1),(58,1),(64,1),(66,1),(67,1)}
        50:{2,4,5}:{(34,1),(35,1),(38,1),(59,1),(65,1),(67,1),(68,1),(71,1),(90,1)}
        51:{3,4}:{(35,1),(68,1)}
        52:{1,5,7}:{(36,1),(37,1),(66,1),(69,1)}
        53:{1,4,6}:{(37,1),(38,1),(67,1),(69,1),(70,1),(103,1)}
        54:{1,3,5}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        55:{2,4}:{(39,1),(40,1),(71,1),(72,1)}
        56:{1,3}:{(40,1),(72,1),(73,1)}
        57:{1,6,7}:{(41,1),(48,1),(74,1)}
        58:{1,5,6}:{(41,1),(42,1),(49,1),(74,1),(75,1)}
        59:{1,4,5}:{(42,1),(43,1),(50,1),(75,1),(76,1),(87,1)}
        60:{1,3,4}:{(43,1),(44,1),(51,1),(76,1),(77,1)}
        61:{2,3}:{(44,1),(77,1),(78,1)}
        62:{4,6}:{(45,1),(46,1),(80,1)}
        63:{3,6,7}:{(46,1),(48,1),(79,1),(81,1)}
        64:{3,5,6}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1),(84,1)}
        65:{4,5}:{(47,1),(82,1)}
        66:{2,5,7}:{(48,1),(49,1),(52,1),(74,1),(81,1),(83,1)}
        67:{2,4,6}:{(49,1),(50,1),(53,1),(75,1),(82,1),(83,1),(84,1),(86,1),(99,1)}
        68:{3,5}:{(50,1),(51,1),(84,1)}
        69:{1,4,7}:{(52,1),(53,1),(83,1),(85,1),(104,1)}
        70:{1,3,6}:{(53,1),(54,1),(84,1),(85,1),(86,1)}
        71:{2,5}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,4}:{(55,1),(56,1),(87,1)}
        73:{1,2}:{(56,1)}
        74:{1,5,7}:{(57,1),(58,1),(66,1),(88,1)}
        75:{1,4,6}:{(58,1),(59,1),(67,1),(88,1),(89,1),(97,1)}
        76:{1,3,5}:{(59,1),(60,1),(68,1),(89,1),(90,1)}
        77:{2,4}:{(60,1),(61,1),(90,1),(91,1)}
        78:{1,3}:{(61,1),(91,1),(92,1)}
        79:{4,6,7}:{(62,1),(63,1),(93,1),(94,1)}
        80:{5,6}:{(62,1),(93,1)}
        81:{3,5,7}:{(63,1),(64,1),(66,1),(93,1),(94,1),(95,1)}
        82:{4,6}:{(64,1),(65,1),(94,1)}
        83:{2,4,7}:{(66,1),(67,1),(69,1),(88,1),(94,1),(95,1),(96,1),(102,1)}
        84:{3,6}:{(67,1),(68,1),(95,1)}
        85:{1,3,7}:{(69,1),(70,1),(95,1),(96,1)}
        86:{2,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{1,5}:{(71,1),(72,1),(97,1)}
        88:{1,4,7}:{(74,1),(75,1),(83,1),(98,1),(101,1)}
        89:{1,3,6}:{(75,1),(76,1),(84,1),(98,1),(99,1)}
        90:{2,5}:{(76,1),(77,1),(99,1),(100,1)}
        91:{1,4}:{(77,1),(78,1),(100,1)}
        92:{1,2}:{(78,1)}
        93:{5,7}:{(79,1),(80,1)}
        94:{4,7}:{(81,1),(82,1)}
        95:{3,7}:{(83,1),(84,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6}:{(86,1),(87,1),(101,1)}
        98:{1,3,7}:{(88,1),(89,1),(95,1),(102,1)}
        99:{2,6}:{(89,1),(90,1),(102,1),(103,1)}
       100:{1,5}:{(90,1),(91,1),(103,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{2,7}:{(98,1),(99,1),(104,1)}
       103:{1,6}:{(99,1),(100,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 224 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 225 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 226 :   0:{1,4,5,6}:{(1,1),(2,1),(3,1),(45,1),(52,1),(132,1),(194,1),(218,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(25,1),(29,1),(81,1),(151,1),(152,1),(160,1),(241,1),(252,1),(340,1)}
         2:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(171,1),(264,1)}
         3:{1,4,5,7}:{(0,1),(6,1),(9,1),(10,1),(73,1),(82,1),(159,1)}
         4:{1,4,5,6}:{(1,1),(11,1),(12,1),(20,1),(52,1),(184,1),(194,1),(279,1)}
         5:{3,5,6}:{(1,1),(13,1),(15,1),(116,1),(199,1),(299,1)}
         6:{2,4,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(21,1),(46,1),(53,1),(117,1),(119,1),(120,1),(202,1),(301,1)}
         7:{1,3,4,6}:{(2,1),(13,1),(17,1),(18,1),(19,1),(52,1),(61,1),(116,1)}
         8:{2,5,6}:{(2,1),(18,1),(20,1),(21,1),(213,1),(313,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(15,1),(19,1),(21,1),(22,1)}
        10:{1,4,6,7}:{(3,1),(16,1),(22,1),(23,1),(107,1),(218,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(228,1),(326,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(26,1),(27,1),(40,1),(82,1),(159,1)}
        13:{3,4,6}:{(5,1),(28,1),(29,1),(30,1),(340,1)}
        14:{2,3,5,6}:{(5,1),(8,1),(25,1),(29,1),(31,1),(32,1),(36,1),(69,1),(75,1),(147,1),(151,1)}
        15:{3,5,7}:{(5,1),(6,1),(30,1),(33,1),(157,1)}
        16:{2,4,6,7}:{(6,1),(10,1),(27,1),(33,1),(34,1),(41,1),(74,1),(88,1),(252,1)}
        17:{1,3,4,5}:{(7,1),(28,1),(35,1),(76,1),(90,1),(148,1),(166,1),(171,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1),(38,1),(92,1)}
        19:{1,3,4,7}:{(7,1),(9,1),(30,1),(38,1),(82,1),(93,1),(157,1)}
        20:{1,5,6}:{(8,1),(37,1),(40,1),(259,1),(357,1)}
        21:{2,5,7}:{(8,1),(9,1),(38,1),(40,1),(41,1)}
        22:{1,3,6,7}:{(9,1),(10,1),(33,1),(41,1),(264,1)}
        23:{1,5,6,7}:{(10,1),(34,1),(159,1),(266,1)}
        24:{1,3,4,6}:{(11,1),(13,1),(42,1),(43,1),(44,1),(52,1),(101,1),(116,1)}
        25:{2,5,6}:{(11,1),(43,1),(45,1),(46,1),(274,1),(368,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(15,1),(44,1),(46,1),(47,1)}
        27:{1,4,6,7}:{(12,1),(16,1),(47,1),(48,1),(67,1),(279,1)}
        28:{3,4,5}:{(13,1),(49,1),(199,1),(371,1),(383,1)}
        29:{2,4,6}:{(13,1),(14,1),(49,1),(52,1),(53,1)}
        30:{3,4,7}:{(13,1),(15,1),(53,1),(301,1)}
        31:{1,3,5,6}:{(14,1),(20,1),(45,1),(52,1),(55,1),(56,1),(61,1),(101,1),(108,1),(116,1),(190,1),(194,1),(291,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(21,1),(46,1),(53,1),(56,1),(57,1),(62,1),(102,1),(119,1)}
        33:{3,6,7}:{(15,1),(16,1),(299,1)}
        34:{2,5,6,7}:{(16,1),(23,1),(48,1),(58,1),(119,1),(202,1),(303,1)}
        35:{2,4,5}:{(17,1),(18,1),(59,1),(60,1),(125,1),(209,1),(213,1)}
        36:{2,3,6}:{(18,1),(59,1),(61,1),(62,1),(116,1)}
        37:{1,4,6}:{(18,1),(20,1),(60,1),(61,1),(64,1)}
        38:{2,4,7}:{(18,1),(19,1),(21,1),(62,1),(64,1),(129,1)}
        39:{1,2,5,6}:{(20,1),(55,1),(63,1),(65,1),(66,1),(179,1),(187,1),(213,1),(284,1),(310,1),(313,1),(384,1)}
        40:{1,5,7}:{(20,1),(21,1),(64,1),(67,1)}
        41:{2,6,7}:{(21,1),(22,1),(67,1),(313,1)}
        42:{1,3,4,5}:{(24,1),(28,1),(68,1),(76,1),(136,1),(148,1),(223,1),(228,1)}
        43:{2,4,6}:{(24,1),(25,1),(68,1),(69,1),(70,1),(71,1),(138,1)}
        44:{1,3,4,7}:{(24,1),(26,1),(30,1),(71,1),(82,1),(139,1),(157,1)}
        45:{1,5,6}:{(25,1),(70,1),(73,1),(321,1),(402,1)}
        46:{2,5,7}:{(25,1),(26,1),(71,1),(73,1),(74,1)}
        47:{1,3,6,7}:{(26,1),(27,1),(33,1),(74,1),(326,1)}
        48:{1,5,6,7}:{(27,1),(34,1),(159,1),(328,1)}
        49:{2,4,5}:{(28,1),(29,1),(75,1),(76,1),(329,1)}
        50:{3,4,5,7}:{(28,1),(30,1),(77,1),(78,1),(84,1),(248,1),(349,1),(405,1),(443,1)}
        51:{2,3,4,6}:{(29,1),(36,1),(69,1),(75,1),(79,1),(80,1),(89,1),(135,1),(147,1),(156,1),(169,1),(226,1),(242,1),(329,1),(408,1)}
        52:{1,4,6}:{(29,1),(31,1),(76,1),(81,1),(82,1),(340,1)}
        53:{2,4,7}:{(29,1),(30,1),(32,1),(82,1)}
        54:{3,4,6,7}:{(30,1),(33,1),(78,1),(83,1),(84,1),(88,1)}
        55:{2,5,6}:{(31,1),(81,1),(86,1),(92,1),(138,1),(145,1),(237,1)}
        56:{1,3,5,7}:{(31,1),(32,1),(40,1),(73,1),(82,1),(86,1),(87,1),(93,1),(139,1),(157,1),(159,1),(250,1)}
        57:{2,3,6,7}:{(32,1),(33,1),(41,1),(74,1),(83,1),(87,1),(147,1)}
        58:{3,5,6,7}:{(33,1),(34,1),(84,1),(88,1),(250,1),(348,1)}
        59:{2,3,5}:{(35,1),(36,1),(89,1),(90,1),(148,1)}
        60:{1,4,5}:{(35,1),(37,1),(90,1),(256,1),(259,1)}
        61:{1,3,6}:{(36,1),(37,1),(90,1),(92,1),(93,1)}
        62:{2,3,7}:{(36,1),(38,1),(93,1),(157,1)}
        63:{1,2,4,6}:{(37,1),(39,1),(81,1),(91,1),(92,1),(94,1),(95,1),(96,1),(169,1),(354,1),(406,1),(420,1)}
        64:{1,4,7}:{(37,1),(38,1),(40,1),(93,1)}
        65:{1,3,5,6}:{(39,1),(85,1),(94,1),(96,1),(97,1),(171,1),(224,1),(233,1),(264,1),(266,1),(321,1),(333,1),(402,1),(411,1)}
        66:{1,2,5,7}:{(39,1),(40,1),(86,1),(95,1),(97,1),(98,1),(225,1),(262,1),(356,1),(416,1)}
        67:{1,6,7}:{(40,1),(41,1),(357,1)}
        68:{2,4,5}:{(42,1),(43,1),(99,1),(100,1),(177,1),(270,1),(274,1)}
        69:{2,3,6}:{(43,1),(99,1),(101,1),(102,1),(116,1)}
        70:{1,4,6}:{(43,1),(45,1),(100,1),(101,1),(104,1)}
        71:{2,4,7}:{(43,1),(44,1),(46,1),(102,1),(104,1),(181,1)}
        72:{1,2,5,6}:{(45,1),(55,1),(103,1),(105,1),(106,1),(127,1),(187,1),(274,1),(284,1),(365,1),(368,1),(384,1)}
        73:{1,5,7}:{(45,1),(46,1),(104,1),(107,1)}
        74:{2,6,7}:{(46,1),(47,1),(107,1),(368,1)}
        75:{2,3,5}:{(49,1),(51,1),(108,1),(199,1),(213,1),(274,1),(432,1)}
        76:{1,4,5}:{(49,1),(52,1),(108,1),(110,1),(282,1),(383,1)}
        77:{2,4,5,7}:{(49,1),(50,1),(53,1),(109,1),(111,1),(112,1),(119,1),(373,1),(432,1)}
        78:{3,4,6}:{(50,1),(112,1),(113,1),(299,1),(390,1)}
        79:{1,3,4,6}:{(51,1),(52,1),(61,1),(101,1),(108,1),(114,1),(115,1),(116,1),(124,1),(176,1),(190,1),(191,1),(195,1),(211,1),(272,1),(282,1),(290,1),(377,1)}
        80:{2,3,4,7}:{(51,1),(53,1),(62,1),(102,1),(109,1),(115,1),(200,1),(214,1),(275,1),(293,1),(373,1)}
        81:{2,4,6}:{(52,1),(55,1),(110,1),(116,1),(117,1)}
        82:{1,4,7}:{(52,1),(53,1),(56,1),(117,1),(301,1)}
        83:{2,4,6,7}:{(53,1),(54,1),(57,1),(112,1),(118,1),(119,1)}
        84:{3,5,7}:{(54,1),(113,1),(119,1),(120,1)}
        85:{2,3,5,6}:{(55,1),(65,1),(105,1),(116,1),(121,1),(122,1),(128,1),(180,1),(188,1),(199,1),(213,1),(274,1),(281,1),(287,1),(291,1),(299,1),(303,1),(313,1),(368,1),(374,1),(380,1),(384,1),(427,1),(432,1),(449,1)}
        86:{2,5,7}:{(55,1),(56,1),(117,1),(123,1),(129,1),(181,1)}
        87:{1,3,6,7}:{(56,1),(57,1),(67,1),(107,1),(118,1),(123,1),(190,1),(201,1)}
        88:{4,6,7}:{(58,1),(120,1),(301,1),(390,1)}
        89:{2,3,4}:{(59,1),(124,1),(191,1),(209,1),(304,1)}
        90:{1,3,5}:{(59,1),(60,1),(61,1),(124,1),(125,1)}
        91:{1,2,4,5}:{(60,1),(63,1),(110,1),(125,1),(126,1),(132,1),(187,1),(206,1),(209,1),(213,1),(282,1),(307,1),(372,1),(391,1)}
        92:{2,6}:{(61,1),(125,1),(129,1)}
        93:{1,3,7}:{(61,1),(62,1),(64,1),(129,1)}
        94:{1,3,6}:{(63,1),(116,1),(126,1),(128,1),(131,1),(427,1)}
        95:{1,2,4,7}:{(63,1),(64,1),(66,1),(117,1),(129,1),(131,1),(133,1),(214,1),(394,1),(430,1),(438,1)}
        96:{1,4,6}:{(65,1),(121,1),(132,1),(133,1),(282,1)}
        97:{1,3,5,7}:{(65,1),(66,1),(122,1),(131,1),(133,1),(134,1),(219,1),(273,1),(366,1)}
        98:{1,2,6,7}:{(66,1),(67,1),(123,1),(134,1),(284,1),(313,1),(395,1),(437,1)}
        99:{2,3,5}:{(68,1),(69,1),(135,1),(136,1),(148,1)}
       100:{1,4,5}:{(68,1),(70,1),(136,1),(318,1),(321,1)}
       101:{1,3,6}:{(69,1),(70,1),(136,1),(138,1),(139,1)}
       102:{2,3,7}:{(69,1),(71,1),(139,1),(157,1)}
       103:{1,2,4,6}:{(70,1),(72,1),(81,1),(137,1),(138,1),(140,1),(141,1),(142,1),(226,1),(399,1),(406,1),(439,1)}
       104:{1,4,7}:{(70,1),(71,1),(73,1),(139,1)}
       105:{1,3,5,6}:{(72,1),(85,1),(140,1),(142,1),(143,1),(167,1),(228,1),(233,1),(259,1),(326,1),(328,1),(333,1),(357,1),(411,1)}
       106:{1,2,5,7}:{(72,1),(73,1),(86,1),(141,1),(143,1),(144,1),(168,1),(324,1),(401,1),(416,1)}
       107:{1,6,7}:{(73,1),(74,1),(402,1)}
       108:{1,3,5}:{(75,1),(76,1),(79,1),(145,1),(148,1),(259,1),(321,1),(339,1),(411,1)}
       109:{2,3,5,7}:{(75,1),(77,1),(80,1),(146,1),(147,1),(248,1),(262,1),(324,1)}
       110:{2,4,5}:{(76,1),(81,1),(145,1),(148,1),(235,1)}
       111:{1,4,5,7}:{(76,1),(77,1),(82,1),(146,1),(149,1),(150,1),(159,1),(332,1),(411,1)}
       112:{2,4,6}:{(77,1),(78,1),(147,1),(150,1),(151,1)}
       113:{3,5,6}:{(78,1),(84,1),(151,1),(152,1),(443,1)}
       114:{2,4,6}:{(79,1),(92,1),(138,1),(145,1),(154,1),(155,1),(163,1),(220,1),(235,1),(237,1)}
       115:{1,3,4,7}:{(79,1),(80,1),(82,1),(93,1),(139,1),(146,1),(155,1),(157,1),(239,1),(244,1),(260,1),(322,1),(332,1)}
       116:{3,6}:{(81,1),(148,1),(157,1)}
       117:{2,4,7}:{(81,1),(82,1),(86,1),(157,1)}
       118:{1,4,6,7}:{(82,1),(83,1),(87,1),(150,1),(158,1),(159,1)}
       119:{2,5,7}:{(83,1),(84,1),(151,1),(159,1)}
       120:{4,5,7}:{(84,1),(88,1),(152,1)}
       121:{2,4,6}:{(85,1),(96,1),(142,1),(156,1),(160,1),(161,1),(235,1),(329,1),(340,1),(453,1)}
       122:{2,3,5,7}:{(85,1),(86,1),(97,1),(143,1),(157,1),(161,1),(162,1),(170,1),(227,1),(248,1),(250,1),(253,1),(262,1),(324,1),(416,1),(441,1),(452,1)}
       123:{2,6,7}:{(86,1),(87,1),(237,1)}
       124:{1,3,4}:{(89,1),(90,1),(163,1),(254,1),(256,1)}
       125:{2,5}:{(90,1),(92,1),(163,1)}
       126:{1,3,5}:{(91,1),(94,1),(148,1),(165,1),(166,1),(254,1),(404,1)}
       127:{1,2,6}:{(92,1),(164,1),(167,1),(168,1),(420,1)}
       128:{2,3,6}:{(92,1),(94,1),(165,1),(167,1),(169,1),(170,1),(420,1)}
       129:{2,7}:{(92,1),(93,1)}
       130:{1,3,4,6}:{(94,1),(96,1),(156,1),(166,1),(169,1),(171,1),(172,1),(264,1)}
       131:{1,3,7}:{(94,1),(95,1),(157,1),(170,1),(441,1)}
       132:{1,4,5}:{(96,1),(160,1),(171,1),(321,1),(411,1)}
       133:{1,4,7}:{(96,1),(97,1),(161,1)}
       134:{1,3,6,7}:{(97,1),(98,1),(162,1),(175,1),(264,1),(333,1),(402,1)}
       135:{2,3,4}:{(99,1),(176,1),(191,1),(270,1),(359,1)}
       136:{1,3,5}:{(99,1),(100,1),(101,1),(176,1),(177,1)}
       137:{1,2,4,5}:{(100,1),(103,1),(110,1),(177,1),(178,1),(184,1),(187,1),(267,1),(270,1),(274,1),(282,1),(362,1),(372,1),(422,1)}
       138:{2,6}:{(101,1),(177,1),(181,1)}
       139:{1,3,7}:{(101,1),(102,1),(104,1),(181,1)}
       140:{1,3,6}:{(103,1),(116,1),(178,1),(180,1),(183,1),(427,1)}
       141:{1,2,4,7}:{(103,1),(104,1),(106,1),(117,1),(181,1),(183,1),(185,1),(275,1),(425,1),(430,1),(447,1)}
       142:{1,4,6}:{(105,1),(121,1),(184,1),(185,1),(282,1)}
       143:{1,3,5,7}:{(105,1),(106,1),(122,1),(183,1),(185,1),(186,1),(212,1),(280,1),(311,1)}
       144:{1,2,6,7}:{(106,1),(107,1),(123,1),(186,1),(284,1),(368,1),(426,1),(437,1)}
       145:{2,5}:{(108,1),(114,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(111,1),(115,1),(189,1),(190,1),(192,1),(311,1),(366,1)}
       147:{2,3,6}:{(109,1),(112,1),(190,1),(299,1),(313,1),(368,1)}
       148:{3,5}:{(110,1),(116,1),(191,1)}
       149:{2,4,5,7}:{(110,1),(111,1),(117,1),(189,1),(192,1),(193,1),(202,1),(286,1),(301,1),(380,1),(383,1)}
       150:{1,4,6}:{(111,1),(112,1),(190,1),(193,1),(194,1)}
       151:{2,5,6}:{(112,1),(113,1),(119,1),(194,1),(432,1)}
       152:{4,5,6}:{(113,1),(120,1),(390,1),(450,1)}
       153:{1,2,4,6}:{(114,1),(127,1),(179,1),(187,1),(195,1),(196,1),(206,1),(211,1),(267,1),(272,1),(282,1),(284,1),(292,1),(377,1)}
       154:{2,3,6}:{(114,1),(116,1),(188,1),(195,1),(198,1),(207,1),(268,1)}
       155:{2,4,7}:{(114,1),(115,1),(129,1),(181,1),(189,1),(198,1)}
       156:{3,4,6}:{(116,1),(121,1),(191,1),(199,1),(200,1),(299,1),(371,1),(427,1)}
       157:{3,7}:{(116,1),(117,1)}
       158:{2,4,6,7}:{(117,1),(118,1),(123,1),(193,1),(201,1),(202,1),(301,1)}
       159:{1,5,7}:{(118,1),(119,1),(194,1),(202,1)}
       160:{2,4,5}:{(121,1),(132,1),(184,1),(199,1),(213,1),(274,1),(380,1),(383,1),(432,1),(450,1)}
       161:{2,4,7}:{(121,1),(122,1),(133,1),(185,1),(200,1),(301,1),(454,1)}
       162:{2,3,6,7}:{(122,1),(123,1),(134,1),(186,1),(201,1),(205,1),(287,1),(299,1),(313,1),(368,1),(374,1),(437,1),(448,1)}
       163:{2,4}:{(124,1),(125,1),(207,1)}
       164:{1,2,5}:{(125,1),(127,1),(206,1),(208,1),(391,1)}
       165:{2,3,5}:{(125,1),(126,1),(128,1),(207,1),(208,1),(209,1),(213,1),(304,1),(391,1)}
       166:{1,3,4}:{(126,1),(191,1),(209,1),(282,1),(371,1)}
       167:{1,3,6}:{(127,1),(128,1),(208,1),(211,1),(212,1)}
       168:{1,2,7}:{(127,1),(129,1),(212,1),(438,1)}
       169:{2,4,6}:{(128,1),(130,1),(209,1),(211,1),(213,1),(214,1),(313,1)}
       170:{2,3,7}:{(128,1),(129,1),(131,1),(212,1),(214,1),(438,1)}
       171:{1,3,5}:{(130,1),(132,1),(199,1),(213,1)}
       172:{1,3,4,7}:{(130,1),(131,1),(133,1),(200,1),(214,1),(216,1)}
       173:{1,4,5,6}:{(132,1),(203,1),(215,1),(217,1),(218,1),(365,1),(375,1),(434,1)}
       174:{1,4,5,7}:{(132,1),(133,1),(204,1),(216,1),(218,1),(219,1),(366,1)}
       175:{1,4,6,7}:{(133,1),(134,1),(205,1),(218,1),(219,1),(377,1)}
       176:{1,3,4}:{(135,1),(136,1),(220,1),(316,1),(318,1)}
       177:{2,5}:{(136,1),(138,1),(220,1)}
       178:{1,3,5}:{(137,1),(140,1),(148,1),(222,1),(223,1),(316,1),(404,1)}
       179:{1,2,6}:{(138,1),(221,1),(224,1),(225,1),(439,1)}
       180:{2,3,6}:{(138,1),(140,1),(222,1),(224,1),(226,1),(227,1),(439,1)}
       181:{2,7}:{(138,1),(139,1)}
       182:{1,3,4,6}:{(140,1),(142,1),(156,1),(223,1),(226,1),(228,1),(229,1),(326,1)}
       183:{1,3,7}:{(140,1),(141,1),(157,1),(227,1),(441,1)}
       184:{1,4,5}:{(142,1),(160,1),(228,1),(259,1),(411,1)}
       185:{1,4,7}:{(142,1),(143,1),(161,1)}
       186:{1,3,6,7}:{(143,1),(144,1),(162,1),(232,1),(326,1),(333,1),(357,1)}
       187:{1,2,5}:{(145,1),(153,1),(233,1),(259,1),(321,1),(341,1),(411,1)}
       188:{2,3,5}:{(145,1),(148,1),(154,1),(233,1),(235,1)}
       189:{2,5,7}:{(145,1),(146,1),(155,1),(237,1)}
       190:{1,3,6}:{(146,1),(147,1),(150,1),(237,1),(240,1),(357,1),(402,1)}
       191:{3,4}:{(148,1),(235,1)}
       192:{3,5,7}:{(148,1),(149,1),(157,1),(239,1),(240,1),(339,1)}
       193:{2,4,6}:{(149,1),(150,1),(237,1),(240,1),(241,1),(340,1)}
       194:{1,5,6}:{(150,1),(151,1),(159,1),(241,1),(411,1)}
       195:{1,3,6}:{(153,1),(154,1),(233,1),(242,1),(244,1),(254,1),(316,1)}
       196:{1,2,4,7}:{(153,1),(155,1),(168,1),(225,1),(234,1),(244,1),(260,1),(322,1),(332,1),(342,1)}
       197:{2,3,4,6}:{(154,1),(156,1),(169,1),(226,1),(235,1),(243,1),(245,1),(246,1),(255,1),(317,1),(334,1),(336,1),(346,1),(353,1),(398,1)}
       198:{2,3,7}:{(154,1),(155,1),(157,1),(244,1)}
       199:{3,5}:{(156,1),(160,1)}
       200:{3,4,7}:{(156,1),(157,1),(161,1),(248,1),(441,1)}
       201:{3,6,7}:{(157,1),(158,1),(240,1),(250,1)}
       202:{2,5,7}:{(158,1),(159,1),(241,1),(250,1)}
       203:{2,4,5,6}:{(160,1),(173,1),(230,1),(247,1),(251,1),(252,1),(261,1),(323,1),(334,1),(406,1),(413,1),(415,1),(445,1),(453,1)}
       204:{2,4,5,7}:{(160,1),(161,1),(174,1),(231,1),(248,1),(252,1),(253,1),(262,1),(324,1),(349,1)}
       205:{2,4,6,7}:{(161,1),(162,1),(175,1),(232,1),(249,1),(252,1),(253,1),(336,1),(408,1)}
       206:{1,2,4}:{(163,1),(164,1),(254,1),(256,1),(351,1)}
       207:{2,3}:{(163,1),(254,1)}
       208:{1,3,5}:{(164,1),(165,1),(167,1),(254,1),(256,1),(259,1)}
       209:{2,4}:{(165,1),(166,1),(256,1)}
       210:{1,3,4,5}:{(166,1),(171,1),(238,1),(257,1),(258,1),(331,1),(352,1),(404,1)}
       211:{1,4,6}:{(167,1),(169,1),(256,1),(259,1),(260,1),(357,1)}
       212:{1,3,7}:{(167,1),(168,1),(170,1),(260,1)}
       213:{2,5}:{(169,1),(171,1),(259,1)}
       214:{2,4,7}:{(169,1),(170,1),(172,1),(260,1),(262,1)}
       215:{1,3,5,6}:{(171,1),(173,1),(247,1),(258,1),(261,1),(263,1),(264,1)}
       216:{1,3,5,7}:{(171,1),(172,1),(174,1),(248,1),(262,1),(264,1)}
       217:{1,4,5,7}:{(173,1),(251,1),(263,1),(265,1),(401,1),(409,1),(446,1)}
       218:{1,4,6}:{(174,1),(252,1),(264,1),(266,1),(402,1)}
       219:{1,5,7}:{(175,1),(253,1),(266,1),(411,1)}
       220:{2,4}:{(176,1),(177,1),(268,1)}
       221:{1,2,5}:{(177,1),(179,1),(267,1),(269,1),(422,1)}
       222:{2,3,5}:{(177,1),(178,1),(180,1),(268,1),(269,1),(270,1),(274,1),(359,1),(422,1)}
       223:{1,3,4}:{(178,1),(191,1),(270,1),(282,1),(371,1)}
       224:{1,3,6}:{(179,1),(180,1),(269,1),(272,1),(273,1)}
       225:{1,2,7}:{(179,1),(181,1),(273,1),(447,1)}
       226:{2,4,6}:{(180,1),(182,1),(270,1),(272,1),(274,1),(275,1),(368,1)}
       227:{2,3,7}:{(180,1),(181,1),(183,1),(273,1),(275,1),(447,1)}
       228:{1,3,5}:{(182,1),(184,1),(199,1),(274,1)}
       229:{1,3,4,7}:{(182,1),(183,1),(185,1),(200,1),(275,1),(277,1)}
       230:{1,4,5,6}:{(184,1),(203,1),(276,1),(278,1),(279,1),(310,1),(375,1),(434,1)}
       231:{1,4,5,7}:{(184,1),(185,1),(204,1),(277,1),(279,1),(280,1),(311,1)}
       232:{1,4,6,7}:{(185,1),(186,1),(205,1),(279,1),(280,1),(377,1)}
       233:{1,3,5}:{(187,1),(188,1),(195,1),(281,1),(282,1)}
       234:{1,2,5,7}:{(187,1),(189,1),(196,1),(283,1),(284,1),(311,1),(366,1),(385,1)}
       235:{2,4}:{(188,1),(191,1),(282,1)}
       236:{2,3,5,7}:{(188,1),(189,1),(192,1),(198,1),(283,1),(286,1),(287,1),(380,1)}
       237:{2,6}:{(189,1),(190,1)}
       238:{3,4,5}:{(191,1),(199,1),(285,1),(288,1),(450,1)}
       239:{3,4,7}:{(191,1),(192,1),(286,1),(290,1),(301,1)}
       240:{3,6}:{(192,1),(193,1)}
       241:{2,5,6}:{(193,1),(194,1),(202,1),(291,1),(380,1)}
       242:{2,3,6}:{(195,1),(281,1),(292,1),(293,1),(304,1),(359,1),(427,1)}
       243:{1,3,4,6}:{(195,1),(197,1),(211,1),(272,1),(282,1),(292,1),(294,1),(295,1),(305,1),(360,1),(371,1),(375,1),(377,1),(387,1),(392,1),(423,1),(427,1),(429,1)}
       244:{1,3,7}:{(195,1),(196,1),(198,1),(293,1)}
       245:{2,3,5}:{(197,1),(199,1),(213,1),(274,1),(285,1),(294,1),(380,1)}
       246:{2,3,4,7}:{(197,1),(198,1),(200,1),(214,1),(275,1),(286,1),(295,1),(297,1),(378,1),(393,1),(424,1)}
       247:{3,5,6}:{(199,1),(203,1),(288,1),(298,1),(299,1),(427,1)}
       248:{3,5,7}:{(199,1),(200,1),(204,1),(299,1)}
       249:{3,4,6,7}:{(200,1),(201,1),(205,1),(290,1),(299,1),(300,1),(301,1),(390,1),(429,1),(448,1),(454,1)}
       250:{3,5,7}:{(201,1),(202,1),(291,1),(301,1)}
       251:{2,4,5,7}:{(203,1),(217,1),(278,1),(298,1),(302,1),(312,1),(367,1),(378,1),(430,1),(435,1),(436,1),(451,1),(454,1)}
       252:{2,4,6}:{(204,1),(218,1),(279,1),(299,1),(303,1),(313,1),(368,1),(390,1)}
       253:{2,5,7}:{(205,1),(219,1),(280,1),(300,1),(303,1),(380,1),(432,1)}
       254:{1,3}:{(206,1),(207,1),(304,1)}
       255:{2,3,4}:{(207,1),(209,1),(305,1),(306,1),(371,1)}
       256:{1,4}:{(208,1),(209,1)}
       257:{2,4,5}:{(209,1),(210,1),(213,1),(306,1),(307,1),(308,1),(391,1)}
       258:{1,3,4,6}:{(210,1),(215,1),(288,1),(308,1),(309,1),(375,1),(392,1),(427,1)}
       259:{1,5}:{(211,1),(213,1)}
       260:{1,4,7}:{(211,1),(212,1),(214,1),(311,1)}
       261:{2,5,6}:{(213,1),(215,1),(308,1),(310,1),(312,1),(313,1)}
       262:{2,5,7}:{(213,1),(214,1),(216,1),(311,1),(313,1)}
       263:{1,3,5,7}:{(215,1),(217,1),(298,1),(309,1),(312,1),(314,1)}
       264:{1,3,6}:{(216,1),(218,1),(299,1),(313,1)}
       265:{1,4,6,7}:{(217,1),(218,1),(302,1),(314,1),(315,1),(426,1)}
       266:{1,5,6}:{(218,1),(219,1),(303,1)}
       267:{1,2,4}:{(220,1),(221,1),(316,1),(318,1),(396,1)}
       268:{2,3}:{(220,1),(316,1)}
       269:{1,3,5}:{(221,1),(222,1),(224,1),(316,1),(318,1),(321,1)}
       270:{2,4}:{(222,1),(223,1),(318,1)}
       271:{1,3,4,5}:{(223,1),(228,1),(238,1),(319,1),(320,1),(331,1),(397,1),(404,1)}
       272:{1,4,6}:{(224,1),(226,1),(318,1),(321,1),(322,1),(402,1)}
       273:{1,3,7}:{(224,1),(225,1),(227,1),(322,1)}
       274:{2,5}:{(226,1),(228,1),(321,1)}
       275:{2,4,7}:{(226,1),(227,1),(229,1),(322,1),(324,1)}
       276:{1,3,5,6}:{(228,1),(230,1),(247,1),(320,1),(323,1),(325,1),(326,1)}
       277:{1,3,5,7}:{(228,1),(229,1),(231,1),(248,1),(324,1),(326,1)}
       278:{1,4,5,7}:{(230,1),(251,1),(325,1),(327,1),(356,1),(409,1),(446,1)}
       279:{1,4,6}:{(231,1),(252,1),(326,1),(328,1),(357,1)}
       280:{1,5,7}:{(232,1),(253,1),(328,1),(411,1)}
       281:{2,3,5}:{(233,1),(242,1),(329,1),(341,1),(404,1)}
       282:{1,4}:{(233,1),(235,1),(329,1)}
       283:{1,3,5,7}:{(233,1),(234,1),(236,1),(244,1),(330,1),(332,1),(333,1),(411,1)}
       284:{1,2,6}:{(234,1),(237,1),(333,1),(357,1),(402,1),(417,1)}
       285:{2,4,5}:{(235,1),(238,1),(245,1),(331,1),(334,1)}
       286:{2,4,7}:{(235,1),(236,1),(239,1),(332,1),(336,1)}
       287:{2,3,6}:{(236,1),(237,1),(240,1),(333,1),(336,1)}
       288:{3,4,6}:{(238,1),(247,1),(334,1),(337,1),(453,1)}
       289:{3,4,5,7}:{(238,1),(239,1),(248,1),(335,1),(337,1),(338,1),(339,1),(349,1),(414,1)}
       290:{3,4,6}:{(239,1),(240,1),(336,1),(339,1),(340,1)}
       291:{3,5,6}:{(240,1),(241,1),(250,1),(339,1),(340,1)}
       292:{2,4,6}:{(242,1),(243,1),(329,1),(341,1),(342,1),(351,1),(396,1),(417,1),(420,1),(439,1)}
       293:{2,3,7}:{(242,1),(244,1),(342,1),(441,1)}
       294:{1,3,5}:{(243,1),(245,1),(259,1),(321,1),(331,1),(341,1),(404,1),(411,1),(443,1)}
       295:{1,3,4,7}:{(243,1),(244,1),(246,1),(260,1),(322,1),(332,1),(342,1),(344,1),(405,1),(409,1),(421,1),(440,1),(441,1)}
       296:{2,3,5,6}:{(245,1),(247,1),(261,1),(323,1),(334,1),(343,1),(345,1),(346,1),(353,1),(398,1),(413,1)}
       297:{2,3,5,7}:{(245,1),(246,1),(248,1),(262,1),(324,1),(335,1),(344,1),(346,1)}
       298:{3,5,7}:{(247,1),(251,1),(337,1),(347,1),(441,1)}
       299:{3,6}:{(248,1),(252,1)}
       300:{3,5,7}:{(249,1),(253,1),(339,1),(348,1),(349,1),(443,1)}
       301:{4,7}:{(250,1),(340,1)}
       302:{2,4,6,7}:{(251,1),(252,1),(265,1),(327,1),(347,1),(350,1),(358,1),(403,1),(419,1)}
       303:{2,5,6}:{(252,1),(253,1),(266,1),(328,1),(348,1)}
       304:{2,3}:{(254,1),(351,1)}
       305:{1,3,4}:{(254,1),(255,1),(256,1),(351,1),(352,1)}
       306:{2,3,5}:{(255,1),(257,1),(352,1),(353,1),(404,1)}
       307:{1,4,5}:{(256,1),(257,1),(259,1),(352,1),(354,1)}
       308:{2,4,6}:{(257,1),(258,1),(261,1),(353,1),(354,1),(355,1),(420,1)}
       309:{1,3,4,7}:{(258,1),(263,1),(337,1),(355,1),(409,1),(421,1),(441,1)}
       310:{1,5,6}:{(259,1),(261,1),(354,1),(356,1),(357,1)}
       311:{1,5,7}:{(259,1),(260,1),(262,1),(357,1)}
       312:{2,5,7}:{(261,1),(263,1),(355,1),(356,1),(358,1)}
       313:{2,6}:{(262,1),(264,1),(357,1)}
       314:{1,3,6,7}:{(263,1),(264,1),(265,1),(347,1),(358,1)}
       315:{1,5,6,7}:{(265,1),(266,1),(350,1),(446,1)}
       316:{1,3}:{(267,1),(268,1),(359,1)}
       317:{2,3,4}:{(268,1),(270,1),(360,1),(361,1),(371,1)}
       318:{1,4}:{(269,1),(270,1)}
       319:{2,4,5}:{(270,1),(271,1),(274,1),(361,1),(362,1),(363,1),(422,1)}
       320:{1,3,4,6}:{(271,1),(276,1),(288,1),(363,1),(364,1),(375,1),(423,1),(427,1)}
       321:{1,5}:{(272,1),(274,1)}
       322:{1,4,7}:{(272,1),(273,1),(275,1),(366,1)}
       323:{2,5,6}:{(274,1),(276,1),(363,1),(365,1),(367,1),(368,1)}
       324:{2,5,7}:{(274,1),(275,1),(277,1),(366,1),(368,1)}
       325:{1,3,5,7}:{(276,1),(278,1),(298,1),(364,1),(367,1),(369,1)}
       326:{1,3,6}:{(277,1),(279,1),(299,1),(368,1)}
       327:{1,4,6,7}:{(278,1),(279,1),(302,1),(369,1),(370,1),(395,1)}
       328:{1,5,6}:{(279,1),(280,1),(303,1)}
       329:{2,4}:{(281,1),(282,1),(371,1)}
       330:{2,3,5,7}:{(281,1),(283,1),(293,1),(373,1),(374,1),(385,1),(428,1),(432,1)}
       331:{1,4,5}:{(282,1),(285,1),(294,1),(372,1),(375,1),(450,1)}
       332:{1,4,7}:{(282,1),(283,1),(286,1),(373,1),(377,1)}
       333:{1,3,6}:{(283,1),(284,1),(287,1),(374,1),(377,1)}
       334:{2,4,6}:{(285,1),(288,1),(296,1),(375,1),(378,1)}
       335:{2,4,5,7}:{(285,1),(286,1),(289,1),(297,1),(376,1),(378,1),(379,1),(380,1),(435,1)}
       336:{2,4,6}:{(286,1),(287,1),(290,1),(377,1),(380,1)}
       337:{3,4,7}:{(288,1),(298,1),(378,1),(454,1)}
       338:{3,4,6}:{(289,1),(299,1),(379,1),(382,1),(390,1)}
       339:{3,5}:{(290,1),(380,1),(383,1)}
       340:{4,6}:{(291,1),(301,1),(383,1)}
       341:{2,5}:{(292,1),(294,1)}
       342:{2,4,7}:{(292,1),(293,1),(295,1),(385,1),(438,1),(447,1)}
       343:{1,3,5,6}:{(294,1),(296,1),(310,1),(365,1),(375,1),(384,1),(386,1),(387,1),(392,1),(423,1),(427,1),(434,1),(449,1)}
       344:{1,3,5,7}:{(294,1),(295,1),(297,1),(311,1),(366,1),(376,1),(385,1),(387,1),(428,1)}
       345:{2,3,5,7}:{(296,1),(298,1),(312,1),(367,1),(378,1),(386,1),(388,1),(393,1),(424,1),(435,1)}
       346:{2,3,6}:{(297,1),(299,1),(313,1),(368,1),(379,1),(387,1)}
       347:{3,6,7}:{(298,1),(299,1),(302,1)}
       348:{3,5,6}:{(299,1),(300,1),(303,1),(390,1)}
       349:{4,5,7}:{(300,1),(301,1),(383,1),(390,1),(450,1),(454,1)}
       350:{2,5,6,7}:{(302,1),(303,1),(315,1),(370,1),(389,1),(435,1),(451,1)}
       351:{2,4}:{(304,1),(305,1),(391,1)}
       352:{1,3,5}:{(305,1),(306,1),(307,1),(391,1),(392,1)}
       353:{2,3,6}:{(306,1),(308,1),(392,1),(393,1),(427,1)}
       354:{1,4,6}:{(307,1),(308,1),(310,1),(392,1),(394,1)}
       355:{2,4,7}:{(308,1),(309,1),(312,1),(393,1),(394,1),(438,1)}
       356:{1,5,7}:{(310,1),(312,1),(394,1),(395,1)}
       357:{1,6}:{(311,1),(313,1)}
       358:{2,6,7}:{(312,1),(313,1),(314,1),(395,1)}
       359:{2,3}:{(316,1),(396,1)}
       360:{1,3,4}:{(316,1),(317,1),(318,1),(396,1),(397,1)}
       361:{2,3,5}:{(317,1),(319,1),(397,1),(398,1),(404,1)}
       362:{1,4,5}:{(318,1),(319,1),(321,1),(397,1),(399,1)}
       363:{2,4,6}:{(319,1),(320,1),(323,1),(398,1),(399,1),(400,1),(439,1)}
       364:{1,3,4,7}:{(320,1),(325,1),(337,1),(400,1),(409,1),(440,1),(441,1)}
       365:{1,5,6}:{(321,1),(323,1),(399,1),(401,1),(402,1)}
       366:{1,5,7}:{(321,1),(322,1),(324,1),(402,1)}
       367:{2,5,7}:{(323,1),(325,1),(400,1),(401,1),(403,1)}
       368:{2,6}:{(324,1),(326,1),(402,1)}
       369:{1,3,6,7}:{(325,1),(326,1),(327,1),(347,1),(403,1)}
       370:{1,5,6,7}:{(327,1),(328,1),(350,1),(446,1)}
       371:{3,4}:{(329,1),(404,1)}
       372:{2,4,5}:{(329,1),(331,1),(341,1),(404,1),(406,1)}
       373:{2,4,7}:{(329,1),(330,1),(332,1),(405,1),(408,1)}
       374:{2,3,6}:{(330,1),(333,1),(408,1),(417,1),(442,1)}
       375:{1,4,6}:{(331,1),(334,1),(343,1),(406,1),(409,1),(453,1)}
       376:{1,4,5,7}:{(331,1),(332,1),(335,1),(344,1),(407,1),(409,1),(410,1),(411,1),(446,1)}
       377:{1,4,6}:{(332,1),(333,1),(336,1),(408,1),(411,1)}
       378:{2,4,7}:{(334,1),(337,1),(345,1),(409,1)}
       379:{2,4,6}:{(335,1),(338,1),(346,1),(410,1),(413,1)}
       380:{2,5}:{(336,1),(339,1),(411,1)}
       381:{3,4,6,7}:{(337,1),(338,1),(347,1),(412,1),(414,1),(419,1)}
       382:{3,5,6}:{(338,1),(339,1),(413,1),(414,1),(415,1)}
       383:{4,5}:{(339,1),(340,1)}
       384:{2,5,6}:{(341,1),(343,1),(406,1),(416,1),(417,1),(420,1),(439,1)}
       385:{2,5,7}:{(341,1),(342,1),(344,1),(417,1)}
       386:{1,3,5,7}:{(343,1),(345,1),(356,1),(401,1),(409,1),(416,1),(418,1),(421,1),(440,1),(441,1),(446,1),(452,1)}
       387:{1,3,6}:{(344,1),(346,1),(357,1),(402,1),(410,1),(417,1),(442,1)}
       388:{2,3,6,7}:{(345,1),(346,1),(347,1),(358,1),(403,1),(412,1),(418,1)}
       389:{3,5,6,7}:{(347,1),(348,1),(350,1),(414,1),(419,1),(452,1)}
       390:{4,6}:{(348,1),(349,1)}
       391:{2,5}:{(351,1),(352,1),(420,1)}
       392:{1,3,6}:{(352,1),(353,1),(354,1),(420,1),(421,1)}
       393:{2,3,7}:{(353,1),(355,1),(421,1),(441,1)}
       394:{1,4,7}:{(354,1),(355,1),(356,1),(421,1)}
       395:{1,6,7}:{(356,1),(357,1),(358,1)}
       396:{2,4}:{(359,1),(360,1),(422,1)}
       397:{1,3,5}:{(360,1),(361,1),(362,1),(422,1),(423,1)}
       398:{2,3,6}:{(361,1),(363,1),(423,1),(424,1),(427,1)}
       399:{1,4,6}:{(362,1),(363,1),(365,1),(423,1),(425,1)}
       400:{2,4,7}:{(363,1),(364,1),(367,1),(424,1),(425,1),(447,1)}
       401:{1,5,7}:{(365,1),(367,1),(425,1),(426,1)}
       402:{1,6}:{(366,1),(368,1)}
       403:{2,6,7}:{(367,1),(368,1),(369,1),(426,1)}
       404:{3,5}:{(371,1),(372,1),(427,1)}
       405:{3,4,7}:{(371,1),(373,1),(428,1),(429,1),(454,1)}
       406:{2,4,6}:{(372,1),(375,1),(384,1),(427,1),(430,1)}
       407:{2,4,5,7}:{(372,1),(373,1),(376,1),(385,1),(428,1),(430,1),(431,1),(432,1),(450,1),(451,1),(454,1)}
       408:{2,4,6}:{(373,1),(374,1),(377,1),(429,1),(432,1)}
       409:{1,4,7}:{(375,1),(378,1),(386,1),(430,1),(454,1)}
       410:{1,4,6}:{(376,1),(379,1),(387,1),(431,1),(434,1)}
       411:{1,5}:{(377,1),(380,1),(432,1)}
       412:{2,4,6,7}:{(378,1),(379,1),(381,1),(388,1),(433,1),(435,1)}
       413:{2,5,6}:{(379,1),(380,1),(382,1),(434,1),(435,1)}
       414:{3,5,7}:{(381,1),(382,1),(435,1),(436,1)}
       415:{4,5,6}:{(382,1),(383,1),(390,1),(436,1)}
       416:{2,5,7}:{(384,1),(386,1),(430,1),(437,1),(438,1),(447,1)}
       417:{2,6}:{(385,1),(387,1)}
       418:{1,3,6,7}:{(386,1),(387,1),(388,1),(395,1),(426,1),(433,1),(437,1),(448,1)}
       419:{4,6,7}:{(389,1),(390,1),(436,1),(454,1)}
       420:{2,6}:{(391,1),(392,1),(438,1)}
       421:{1,3,7}:{(392,1),(393,1),(394,1),(438,1)}
       422:{2,5}:{(396,1),(397,1),(439,1)}
       423:{1,3,6}:{(397,1),(398,1),(399,1),(439,1),(440,1)}
       424:{2,3,7}:{(398,1),(400,1),(440,1),(441,1)}
       425:{1,4,7}:{(399,1),(400,1),(401,1),(440,1)}
       426:{1,6,7}:{(401,1),(402,1),(403,1)}
       427:{3,6}:{(404,1),(406,1),(441,1)}
       428:{3,5,7}:{(404,1),(405,1),(407,1),(441,1),(442,1),(443,1)}
       429:{3,4,6}:{(405,1),(408,1),(442,1),(443,1),(453,1)}
       430:{2,4,7}:{(406,1),(409,1),(416,1),(441,1)}
       431:{2,4,6}:{(407,1),(410,1),(417,1),(442,1),(445,1),(453,1)}
       432:{2,5}:{(408,1),(411,1),(443,1)}
       433:{1,4,6,7}:{(409,1),(410,1),(412,1),(418,1),(444,1),(446,1)}
       434:{1,5,6}:{(410,1),(411,1),(413,1),(445,1),(446,1)}
       435:{2,5,7}:{(412,1),(413,1),(414,1),(446,1)}
       436:{4,5,7}:{(414,1),(415,1),(419,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1)}
       438:{2,7}:{(420,1),(421,1)}
       439:{2,6}:{(422,1),(423,1),(447,1)}
       440:{1,3,7}:{(423,1),(424,1),(425,1),(447,1)}
       441:{3,7}:{(427,1),(430,1)}
       442:{3,6}:{(428,1),(431,1)}
       443:{3,5}:{(429,1),(432,1),(450,1)}
       444:{2,4,6,7}:{(430,1),(431,1),(433,1),(437,1),(448,1),(451,1),(454,1)}
       445:{2,5,6}:{(431,1),(432,1),(434,1),(449,1),(451,1)}
       446:{1,5,7}:{(433,1),(434,1),(435,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{3,6,7}:{(441,1),(442,1),(444,1),(452,1)}
       449:{3,5,6}:{(442,1),(443,1),(445,1),(452,1),(453,1)}
       450:{4,5}:{(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(452,1)}
       452:{3,5,7}:{(448,1),(449,1),(451,1),(454,1)}
       453:{4,6}:{(449,1),(450,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 227 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(3,1),(4,1)}
        2:{1,2}:{(5,1)}
        3:{2,3}:{(1,1),(5,1),(6,1)}
        4:{1,4}:{(1,1),(6,1),(7,1)}
        5:{1,3}:{(2,1),(3,1),(8,1)}
        6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
        7:{1,5}:{(4,1),(10,1),(11,1)}
        8:{1,4}:{(5,1),(6,1),(12,1)}
        9:{3,4}:{(6,1),(13,1)}
       10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(7,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

 228 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 229 :   0:{1,4,5,7}:{(2,1),(4,1),(5,1),(7,1),(36,1),(60,1),(66,1),(76,1),(110,1),(114,1),(141,1)}
         1:{1,4,6,7}:{(3,1),(5,1),(6,1),(7,1),(36,1),(63,1),(110,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(10,1),(11,1),(13,1),(15,1),(38,1),(43,1),(48,1),(57,1),(89,1),(90,1),(92,1),(93,1),(99,1),(126,1),(131,1),(156,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(13,1),(18,1),(41,1),(48,1),(57,1),(89,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(14,1),(15,1),(16,1),(52,1),(129,1),(153,1)}
         5:{1,4,6}:{(0,1),(11,1),(16,1),(17,1),(85,1)}
         6:{1,3,6,7}:{(1,1),(12,1),(16,1),(18,1),(19,1),(129,1)}
         7:{1,5,7}:{(1,1),(13,1),(17,1)}
         8:{1,4,5,7}:{(2,1),(20,1),(21,1),(23,1),(31,1),(65,1),(66,1),(79,1),(107,1),(114,1),(118,1)}
         9:{1,4,6,7}:{(3,1),(21,1),(22,1),(23,1),(34,1),(65,1),(79,1)}
        10:{3,5,7}:{(2,1),(24,1),(26,1),(68,1),(80,1),(111,1),(112,1),(119,1),(142,1),(145,1)}
        11:{2,4,6}:{(2,1),(5,1),(21,1),(26,1),(27,1),(32,1),(61,1),(71,1)}
        12:{3,6,7}:{(3,1),(26,1),(28,1),(80,1),(111,1)}
        13:{2,5,7}:{(3,1),(7,1),(23,1),(27,1),(28,1)}
        14:{1,3,4,7}:{(4,1),(24,1),(29,1),(30,1),(36,1),(66,1),(72,1),(80,1),(112,1),(161,1)}
        15:{2,5,7}:{(4,1),(29,1),(31,1),(32,1),(75,1),(144,1),(162,1)}
        16:{1,3,6}:{(4,1),(5,1),(26,1),(32,1)}
        17:{1,5,6}:{(5,1),(7,1),(27,1),(114,1)}
        18:{2,6,7}:{(6,1),(32,1),(34,1),(35,1),(144,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(28,1),(33,1),(35,1),(36,1),(80,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(37,1),(38,1),(39,1),(84,1),(102,1),(135,1)}
        21:{1,4,6}:{(8,1),(11,1),(39,1),(40,1),(53,1)}
        22:{1,3,6,7}:{(9,1),(12,1),(39,1),(41,1),(42,1),(102,1)}
        23:{1,5,7}:{(9,1),(13,1),(40,1)}
        24:{3,4,7}:{(10,1),(43,1),(44,1),(48,1),(134,1),(152,1),(156,1)}
        25:{2,3,5,7}:{(10,1),(15,1),(38,1),(43,1),(45,1),(46,1),(49,1),(81,1),(92,1),(97,1),(124,1)}
        26:{3,6}:{(10,1),(11,1)}
        27:{2,5,6}:{(11,1),(13,1),(17,1),(40,1),(47,1),(92,1),(131,1)}
        28:{3,5,7}:{(12,1),(13,1),(47,1),(48,1)}
        29:{2,4,7}:{(14,1),(15,1),(49,1),(50,1),(51,1),(95,1),(167,1)}
        30:{1,3,4,6}:{(14,1),(16,1),(44,1),(51,1),(52,1),(55,1),(91,1),(96,1),(101,1),(130,1),(133,1),(134,1),(156,1),(157,1)}
        31:{1,5,7}:{(15,1),(50,1),(53,1),(98,1),(155,1),(168,1)}
        32:{2,6}:{(15,1),(16,1),(53,1)}
        33:{1,3,5,6}:{(16,1),(17,1),(19,1),(47,1),(52,1),(54,1),(55,1),(101,1)}
        34:{1,6,7}:{(18,1),(53,1),(56,1),(155,1)}
        35:{2,5,7}:{(18,1),(19,1),(54,1),(56,1),(57,1)}
        36:{1,4,7}:{(19,1),(48,1),(55,1),(57,1),(137,1)}
        37:{1,3,4,7}:{(20,1),(24,1),(58,1),(59,1),(65,1),(66,1),(103,1),(111,1),(112,1),(147,1)}
        38:{2,5,7}:{(20,1),(58,1),(60,1),(61,1),(106,1),(121,1),(148,1)}
        39:{1,3,6}:{(20,1),(21,1),(26,1),(61,1)}
        40:{1,5,6}:{(21,1),(23,1),(27,1),(114,1)}
        41:{2,6,7}:{(22,1),(61,1),(63,1),(64,1),(121,1)}
        42:{1,3,5,7}:{(22,1),(23,1),(28,1),(62,1),(64,1),(65,1),(111,1)}
        43:{2,4,7}:{(24,1),(25,1),(66,1),(67,1),(117,1),(140,1)}
        44:{3,4,6}:{(24,1),(26,1),(67,1),(68,1),(71,1)}
        45:{1,3,5,7}:{(25,1),(31,1),(60,1),(66,1),(69,1),(70,1),(72,1),(103,1),(112,1),(114,1),(116,1),(139,1),(145,1)}
        46:{2,3,6}:{(25,1),(26,1),(32,1),(61,1),(67,1),(70,1)}
        47:{3,5,6}:{(26,1),(27,1),(28,1),(68,1),(71,1),(145,1)}
        48:{4,7}:{(28,1),(71,1)}
        49:{2,3,7}:{(29,1),(72,1),(73,1),(80,1),(112,1),(121,1),(170,1)}
        50:{1,4,7}:{(29,1),(31,1),(72,1),(74,1),(171,1)}
        51:{2,4,6}:{(29,1),(30,1),(32,1),(73,1),(74,1),(75,1),(115,1),(117,1),(146,1)}
        52:{1,3,5}:{(30,1),(68,1),(75,1),(76,1),(114,1),(119,1),(145,1)}
        53:{1,6}:{(31,1),(32,1)}
        54:{2,5,6}:{(32,1),(33,1),(35,1),(75,1),(77,1),(78,1)}
        55:{1,4,6}:{(33,1),(36,1),(71,1),(76,1),(78,1),(149,1)}
        56:{1,5,7}:{(34,1),(35,1),(77,1),(79,1)}
        57:{2,4,7}:{(35,1),(36,1),(78,1),(79,1),(80,1),(121,1)}
        58:{2,4,7}:{(37,1),(38,1),(81,1),(82,1),(83,1),(122,1),(158,1)}
        59:{1,3,4,6}:{(37,1),(39,1),(44,1),(83,1),(84,1),(87,1),(91,1),(123,1),(128,1),(130,1),(151,1),(152,1),(156,1),(166,1)}
        60:{1,5,7}:{(38,1),(82,1),(85,1),(125,1),(137,1),(159,1)}
        61:{2,6}:{(38,1),(39,1),(85,1)}
        62:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(84,1),(86,1),(87,1),(128,1)}
        63:{1,6,7}:{(41,1),(85,1),(88,1),(137,1)}
        64:{2,5,7}:{(41,1),(42,1),(86,1),(88,1),(89,1)}
        65:{1,4,7}:{(42,1),(48,1),(87,1),(89,1),(155,1)}
        66:{1,4,7}:{(43,1),(45,1),(90,1),(91,1),(133,1),(151,1),(156,1)}
        67:{2,4,6}:{(43,1),(44,1),(46,1),(91,1),(92,1)}
        68:{3,5}:{(44,1),(92,1),(93,1)}
        69:{2,5,7}:{(45,1),(90,1),(94,1),(95,1),(122,1),(131,1),(132,1),(150,1)}
        70:{1,3,6}:{(45,1),(46,1),(53,1),(85,1),(91,1),(94,1),(130,1)}
        71:{4,6}:{(47,1),(48,1),(93,1),(156,1)}
        72:{1,3,7}:{(49,1),(50,1),(95,1),(96,1),(137,1),(173,1)}
        73:{2,3,6}:{(49,1),(51,1),(96,1),(97,1),(101,1),(130,1),(136,1),(157,1)}
        74:{1,4,6}:{(50,1),(51,1),(53,1),(96,1),(98,1),(133,1)}
        75:{2,5}:{(51,1),(52,1),(98,1)}
        76:{1,4,5}:{(52,1),(55,1),(93,1),(99,1),(133,1),(156,1),(159,1)}
        77:{1,5,6}:{(53,1),(54,1),(56,1),(98,1),(100,1)}
        78:{2,4,6}:{(54,1),(55,1),(57,1),(99,1),(100,1),(101,1),(136,1)}
        79:{1,4,7}:{(56,1),(57,1),(100,1),(102,1)}
        80:{3,7}:{(57,1),(101,1)}
        81:{2,3,7}:{(58,1),(103,1),(104,1),(111,1),(112,1),(144,1),(164,1)}
        82:{1,4,7}:{(58,1),(60,1),(103,1),(105,1),(165,1)}
        83:{2,4,6}:{(58,1),(59,1),(61,1),(104,1),(105,1),(106,1),(138,1),(140,1),(160,1)}
        84:{1,3,5}:{(59,1),(68,1),(106,1),(107,1),(114,1),(142,1),(145,1)}
        85:{1,6}:{(60,1),(61,1)}
        86:{2,5,6}:{(61,1),(62,1),(64,1),(106,1),(108,1),(109,1)}
        87:{1,4,6}:{(62,1),(65,1),(71,1),(107,1),(109,1),(163,1)}
        88:{1,5,7}:{(63,1),(64,1),(108,1),(110,1)}
        89:{2,4,7}:{(64,1),(65,1),(109,1),(110,1),(111,1),(144,1)}
        90:{2,4,7}:{(66,1),(69,1),(112,1),(113,1),(146,1),(160,1)}
        91:{1,4,6}:{(66,1),(67,1),(70,1),(113,1),(114,1)}
        92:{2,5}:{(67,1),(68,1),(114,1)}
        93:{4,5}:{(68,1),(71,1)}
        94:{2,6}:{(69,1),(70,1)}
        95:{2,7}:{(72,1),(115,1),(174,1)}
        96:{1,3,6}:{(72,1),(73,1),(74,1),(115,1),(116,1),(149,1)}
        97:{2,3,5}:{(73,1),(75,1),(116,1),(117,1),(119,1),(145,1),(148,1),(164,1)}
        98:{1,5}:{(74,1),(75,1)}
        99:{2,4,5}:{(75,1),(76,1),(78,1),(117,1),(118,1),(119,1),(146,1),(148,1)}
       100:{1,4,6}:{(77,1),(78,1),(79,1),(118,1),(120,1)}
       101:{3,6}:{(78,1),(80,1),(119,1)}
       102:{1,3,7}:{(79,1),(80,1),(120,1),(121,1)}
       103:{1,3,7}:{(81,1),(82,1),(122,1),(123,1),(155,1),(169,1)}
       104:{2,3,6}:{(81,1),(83,1),(123,1),(124,1),(128,1),(130,1),(154,1),(166,1)}
       105:{1,4,6}:{(82,1),(83,1),(85,1),(123,1),(125,1),(151,1)}
       106:{2,5}:{(83,1),(84,1),(125,1)}
       107:{1,4,5}:{(84,1),(87,1),(93,1),(126,1),(151,1),(156,1),(168,1)}
       108:{1,5,6}:{(85,1),(86,1),(88,1),(125,1),(127,1)}
       109:{2,4,6}:{(86,1),(87,1),(89,1),(126,1),(127,1),(128,1),(154,1)}
       110:{1,4,7}:{(88,1),(89,1),(127,1),(129,1)}
       111:{3,7}:{(89,1),(128,1)}
       112:{3,7}:{(90,1),(130,1),(157,1),(166,1)}
       113:{2,4,6}:{(90,1),(91,1),(94,1),(130,1),(131,1),(156,1)}
       114:{1,5}:{(91,1),(92,1),(131,1)}
       115:{2,6}:{(95,1),(96,1),(132,1)}
       116:{1,3,5}:{(96,1),(97,1),(98,1),(132,1),(133,1),(157,1),(159,1),(169,1)}
       117:{2,4}:{(97,1),(133,1),(134,1),(156,1)}
       118:{1,4,5}:{(98,1),(99,1),(100,1),(133,1),(135,1)}
       119:{3,5}:{(99,1),(101,1),(134,1),(157,1)}
       120:{1,3,6}:{(100,1),(101,1),(102,1),(135,1),(136,1)}
       121:{2,7}:{(102,1),(136,1),(137,1)}
       122:{2,7}:{(103,1),(138,1),(172,1)}
       123:{1,3,6}:{(103,1),(104,1),(105,1),(138,1),(139,1),(163,1)}
       124:{2,3,5}:{(104,1),(106,1),(139,1),(140,1),(142,1),(145,1),(162,1),(170,1)}
       125:{1,5}:{(105,1),(106,1)}
       126:{2,4,5}:{(106,1),(107,1),(109,1),(140,1),(141,1),(142,1),(160,1),(162,1)}
       127:{1,4,6}:{(108,1),(109,1),(110,1),(141,1),(143,1)}
       128:{3,6}:{(109,1),(111,1),(142,1)}
       129:{1,3,7}:{(110,1),(111,1),(143,1),(144,1)}
       130:{3,6}:{(112,1),(113,1),(145,1)}
       131:{2,5}:{(113,1),(114,1),(145,1)}
       132:{2,5}:{(115,1),(116,1),(146,1),(172,1)}
       133:{1,4}:{(116,1),(117,1),(146,1)}
       134:{3,4}:{(117,1),(119,1)}
       135:{1,3,5}:{(118,1),(119,1),(120,1),(147,1),(148,1)}
       136:{2,6}:{(120,1),(121,1),(148,1),(149,1)}
       137:{1,7}:{(121,1),(149,1)}
       138:{2,6}:{(122,1),(123,1),(150,1)}
       139:{1,3,5}:{(123,1),(124,1),(125,1),(150,1),(151,1),(166,1),(168,1),(173,1)}
       140:{2,4}:{(124,1),(151,1),(152,1),(156,1)}
       141:{1,4,5}:{(125,1),(126,1),(127,1),(151,1),(153,1)}
       142:{3,5}:{(126,1),(128,1),(152,1),(166,1)}
       143:{1,3,6}:{(127,1),(128,1),(129,1),(153,1),(154,1)}
       144:{2,7}:{(129,1),(154,1),(155,1)}
       145:{3,5}:{(130,1),(131,1),(156,1)}
       146:{2,4}:{(132,1),(133,1),(157,1)}
       147:{1,3,4}:{(133,1),(134,1),(135,1),(157,1),(158,1),(169,1)}
       148:{2,5}:{(135,1),(136,1),(158,1),(159,1)}
       149:{1,6}:{(136,1),(137,1),(159,1)}
       150:{2,5}:{(138,1),(139,1),(160,1),(174,1)}
       151:{1,4}:{(139,1),(140,1),(160,1)}
       152:{3,4}:{(140,1),(142,1)}
       153:{1,3,5}:{(141,1),(142,1),(143,1),(161,1),(162,1)}
       154:{2,6}:{(143,1),(144,1),(162,1),(163,1)}
       155:{1,7}:{(144,1),(163,1)}
       156:{4}:{(145,1)}
       157:{3}:{(146,1)}
       158:{2,4}:{(147,1),(148,1),(164,1),(165,1),(172,1)}
       159:{1,5}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1)}
       161:{1,3,4}:{(151,1),(152,1),(153,1),(166,1),(167,1),(173,1)}
       162:{2,5}:{(153,1),(154,1),(167,1),(168,1)}
       163:{1,6}:{(154,1),(155,1),(168,1)}
       164:{2,3}:{(157,1),(158,1),(169,1)}
       165:{1,4}:{(158,1),(159,1),(169,1)}
       166:{3}:{(160,1)}
       167:{2,4}:{(161,1),(162,1),(170,1),(171,1),(174,1)}
       168:{1,5}:{(162,1),(163,1),(171,1)}
       169:{1,3}:{(164,1),(165,1),(172,1)}
       170:{2,3}:{(166,1),(167,1),(173,1)}
       171:{1,4}:{(167,1),(168,1),(173,1)}
       172:{2}:{(169,1)}
       173:{1,3}:{(170,1),(171,1),(174,1)}
       174:{2}:{(173,1)}

 230 :   0:{1,5,6,7}:{(1,1),(2,1),(69,1),(150,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(5,1),(47,1),(97,1),(176,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(44,1),(187,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(69,1),(199,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(11,1),(30,1),(129,1),(207,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1),(14,1),(28,1),(217,1)}
         6:{1,4,5,7}:{(2,1),(10,1),(12,1),(13,1),(64,1),(69,1),(75,1)}
         7:{1,3,6,7}:{(2,1),(11,1),(13,1),(14,1),(229,1)}
         8:{1,4,6,7}:{(3,1),(5,1),(15,1),(16,1),(25,1),(241,1)}
         9:{4,6,7}:{(4,1),(17,1),(165,1),(250,1)}
        10:{2,4,5,7}:{(5,1),(6,1),(15,1),(17,1),(19,1),(20,1),(24,1),(43,1),(47,1),(51,1),(97,1),(104,1),(165,1)}
        11:{3,6,7}:{(5,1),(20,1),(262,1)}
        12:{1,4,5,6}:{(6,1),(19,1),(22,1),(88,1),(94,1),(101,1),(183,1),(187,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(20,1),(22,1),(23,1),(24,1)}
        14:{2,6,7}:{(7,1),(24,1),(25,1),(274,1)}
        15:{1,4,5,7}:{(8,1),(10,1),(26,1),(27,1),(39,1),(69,1),(75,1)}
        16:{1,3,6,7}:{(8,1),(11,1),(27,1),(28,1),(286,1)}
        17:{4,5,7}:{(9,1),(29,1),(30,1)}
        18:{3,4,6,7}:{(9,1),(11,1),(30,1),(31,1),(33,1),(66,1)}
        19:{2,4,5,6}:{(10,1),(12,1),(26,1),(29,1),(32,1),(37,1),(62,1),(67,1),(72,1),(126,1),(134,1),(202,1),(213,1),(217,1)}
        20:{3,5,7}:{(10,1),(11,1),(32,1),(33,1),(137,1)}
        21:{2,3,6,7}:{(11,1),(14,1),(28,1),(31,1),(34,1),(35,1),(124,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(32,1),(36,1),(37,1),(225,1),(229,1)}
        23:{1,3,4,7}:{(13,1),(33,1),(36,1),(38,1),(75,1),(82,1),(137,1)}
        24:{2,5,7}:{(13,1),(14,1),(37,1),(38,1),(39,1)}
        25:{1,6,7}:{(14,1),(39,1),(317,1)}
        26:{1,4,5,6}:{(15,1),(19,1),(41,1),(56,1),(94,1),(101,1),(237,1),(241,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(20,1),(41,1),(42,1),(43,1)}
        28:{2,6,7}:{(16,1),(43,1),(44,1),(329,1)}
        29:{4,5,6}:{(17,1),(45,1),(250,1),(441,1)}
        30:{3,5,7}:{(17,1),(18,1),(45,1),(47,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(47,1),(48,1),(51,1),(93,1)}
        32:{3,5,6}:{(19,1),(20,1),(49,1),(170,1),(257,1),(262,1)}
        33:{3,4,7}:{(20,1),(49,1),(51,1),(165,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(24,1),(43,1),(47,1),(50,1),(51,1),(52,1),(57,1),(89,1)}
        35:{1,3,6,7}:{(21,1),(25,1),(44,1),(48,1),(52,1),(53,1),(98,1),(160,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(49,1),(54,1),(55,1),(101,1),(109,1),(170,1)}
        37:{2,5,6}:{(22,1),(24,1),(55,1),(56,1),(270,1),(274,1)}
        38:{2,4,7}:{(23,1),(24,1),(55,1),(57,1),(58,1),(112,1)}
        39:{1,5,7}:{(24,1),(25,1),(56,1),(58,1)}
        40:{1,2,6,7}:{(25,1),(53,1),(59,1),(60,1),(243,1),(274,1),(359,1),(415,1)}
        41:{1,3,5,6}:{(26,1),(27,1),(32,1),(61,1),(62,1),(282,1),(286,1)}
        42:{1,3,4,7}:{(27,1),(33,1),(61,1),(63,1),(75,1),(120,1),(137,1)}
        43:{2,5,7}:{(27,1),(28,1),(62,1),(63,1),(64,1)}
        44:{1,6,7}:{(28,1),(64,1),(368,1)}
        45:{3,5,6}:{(29,1),(30,1),(66,1),(67,1),(426,1)}
        46:{3,4,5,7}:{(30,1),(33,1),(66,1),(68,1),(71,1),(206,1),(216,1),(374,1),(426,1)}
        47:{2,5,7}:{(30,1),(31,1),(67,1),(69,1)}
        48:{1,4,6,7}:{(31,1),(35,1),(69,1),(70,1),(75,1),(125,1)}
        49:{3,4,6}:{(32,1),(33,1),(71,1),(72,1),(202,1)}
        50:{2,3,5,6}:{(32,1),(34,1),(37,1),(62,1),(67,1),(72,1),(73,1),(79,1),(117,1),(124,1),(131,1)}
        51:{2,4,7}:{(33,1),(34,1),(72,1),(75,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(39,1),(64,1),(69,1),(73,1),(75,1),(76,1),(82,1),(120,1),(129,1),(137,1)}
        53:{2,6,7}:{(35,1),(76,1),(200,1)}
        54:{1,3,4,5}:{(36,1),(71,1),(78,1),(132,1),(141,1),(209,1),(222,1),(225,1)}
        55:{2,4,6}:{(36,1),(37,1),(38,1),(78,1),(79,1),(80,1),(143,1)}
        56:{1,5,6}:{(37,1),(39,1),(80,1),(314,1),(317,1)}
        57:{2,3,7}:{(38,1),(79,1),(82,1),(137,1)}
        58:{1,4,7}:{(38,1),(39,1),(80,1),(82,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(76,1),(81,1),(83,1),(84,1),(195,1),(228,1),(392,1),(434,1)}
        60:{1,3,6,7}:{(40,1),(77,1),(84,1),(85,1),(229,1),(288,1),(368,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(49,1),(86,1),(87,1),(101,1),(153,1),(170,1)}
        62:{2,5,6}:{(41,1),(43,1),(87,1),(88,1),(325,1),(329,1)}
        63:{2,4,7}:{(42,1),(43,1),(87,1),(89,1),(90,1),(156,1)}
        64:{1,5,7}:{(43,1),(44,1),(88,1),(90,1)}
        65:{1,2,6,7}:{(44,1),(53,1),(91,1),(92,1),(243,1),(329,1),(401,1),(415,1)}
        66:{3,4,6}:{(45,1),(46,1),(93,1),(250,1),(262,1)}
        67:{2,5,6}:{(45,1),(47,1),(93,1),(94,1),(403,1)}
        68:{2,4,5,7}:{(46,1),(47,1),(51,1),(93,1),(95,1),(96,1),(99,1),(336,1),(403,1)}
        69:{1,5,7}:{(47,1),(48,1),(94,1),(97,1)}
        70:{2,4,6,7}:{(48,1),(53,1),(97,1),(98,1),(104,1),(161,1),(165,1)}
        71:{3,4,5}:{(49,1),(99,1),(246,1),(257,1),(409,1)}
        72:{2,4,6}:{(49,1),(50,1),(51,1),(99,1),(101,1)}
        73:{1,3,5,6}:{(50,1),(52,1),(56,1),(88,1),(94,1),(101,1),(102,1),(109,1),(153,1),(160,1),(162,1),(167,1),(170,1)}
        74:{2,3,4,7}:{(51,1),(57,1),(89,1),(95,1),(100,1),(103,1),(174,1),(185,1),(239,1),(259,1),(336,1)}
        75:{1,4,7}:{(51,1),(52,1),(101,1),(104,1),(165,1)}
        76:{2,5,7}:{(52,1),(53,1),(102,1),(104,1),(112,1),(156,1)}
        77:{2,3,6,7}:{(53,1),(60,1),(92,1),(98,1),(105,1),(106,1),(244,1),(262,1),(274,1),(329,1),(331,1),(415,1),(444,1)}
        78:{2,4,5}:{(54,1),(55,1),(107,1),(108,1),(178,1),(267,1),(270,1)}
        79:{2,3,6}:{(55,1),(57,1),(107,1),(109,1),(170,1)}
        80:{1,4,6}:{(55,1),(56,1),(58,1),(108,1),(109,1)}
        81:{1,2,5,6}:{(56,1),(59,1),(102,1),(110,1),(111,1),(234,1),(243,1),(252,1),(270,1),(274,1),(357,1),(413,1)}
        82:{1,3,7}:{(57,1),(58,1),(109,1),(112,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(104,1),(110,1),(112,1),(113,1),(114,1),(185,1),(419,1),(446,1),(447,1)}
        84:{1,3,5,7}:{(59,1),(60,1),(105,1),(111,1),(113,1),(114,1),(115,1),(238,1),(328,1)}
        85:{1,4,6,7}:{(60,1),(106,1),(114,1),(115,1),(187,1),(332,1)}
        86:{1,3,4,5}:{(61,1),(71,1),(116,1),(132,1),(190,1),(209,1),(279,1),(282,1)}
        87:{2,4,6}:{(61,1),(62,1),(63,1),(116,1),(117,1),(118,1),(192,1)}
        88:{1,5,6}:{(62,1),(64,1),(118,1),(365,1),(368,1)}
        89:{2,3,7}:{(63,1),(117,1),(120,1),(137,1)}
        90:{1,4,7}:{(63,1),(64,1),(118,1),(120,1)}
        91:{1,2,5,7}:{(64,1),(65,1),(76,1),(119,1),(121,1),(122,1),(146,1),(285,1),(425,1),(434,1)}
        92:{1,3,6,7}:{(65,1),(77,1),(122,1),(123,1),(286,1),(288,1),(317,1)}
        93:{2,4,6}:{(66,1),(67,1),(68,1),(124,1),(125,1)}
        94:{1,5,6}:{(67,1),(69,1),(125,1),(126,1),(371,1)}
        95:{2,3,5,7}:{(68,1),(74,1),(124,1),(127,1),(131,1),(216,1),(228,1),(285,1)}
        96:{1,4,5,7}:{(68,1),(69,1),(75,1),(125,1),(127,1),(128,1),(132,1),(293,1),(371,1)}
        97:{2,5,7}:{(69,1),(70,1),(126,1),(129,1)}
        98:{3,6,7}:{(70,1),(129,1),(137,1),(201,1)}
        99:{2,4,5}:{(71,1),(72,1),(131,1),(132,1),(378,1)}
       100:{2,3,4,6}:{(72,1),(74,1),(79,1),(117,1),(124,1),(131,1),(133,1),(140,1),(189,1),(212,1),(224,1),(281,1),(300,1),(370,1),(378,1)}
       101:{1,4,6}:{(72,1),(73,1),(75,1),(132,1),(134,1),(202,1)}
       102:{2,5,6}:{(73,1),(76,1),(134,1),(143,1),(192,1),(200,1),(208,1)}
       103:{1,3,4,7}:{(74,1),(75,1),(82,1),(120,1),(127,1),(133,1),(136,1),(137,1),(205,1),(214,1),(227,1),(284,1),(293,1)}
       104:{2,4,7}:{(75,1),(76,1),(134,1),(137,1)}
       105:{2,3,5,7}:{(76,1),(77,1),(84,1),(122,1),(129,1),(135,1),(137,1),(138,1),(139,1),(147,1),(196,1),(216,1),(228,1),(285,1),(434,1),(451,1),(452,1)}
       106:{2,4,6,7}:{(77,1),(85,1),(123,1),(130,1),(138,1),(139,1),(217,1),(289,1),(370,1)}
       107:{2,3,5}:{(78,1),(79,1),(140,1),(141,1),(209,1)}
       108:{1,4,5}:{(78,1),(80,1),(141,1),(311,1),(314,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(141,1),(143,1)}
       110:{1,2,4,6}:{(80,1),(81,1),(83,1),(134,1),(142,1),(143,1),(144,1),(145,1),(224,1),(390,1),(432,1),(435,1)}
       111:{1,3,5,6}:{(81,1),(84,1),(135,1),(144,1),(145,1),(150,1),(225,1),(229,1),(280,1),(288,1),(297,1),(365,1),(368,1),(371,1)}
       112:{2,7}:{(82,1),(143,1)}
       113:{1,3,7}:{(83,1),(137,1),(144,1),(147,1),(452,1)}
       114:{1,4,7}:{(84,1),(138,1),(145,1)}
       115:{1,5,7}:{(85,1),(139,1),(150,1),(371,1)}
       116:{2,4,5}:{(86,1),(87,1),(151,1),(152,1),(232,1),(322,1),(325,1)}
       117:{2,3,6}:{(87,1),(89,1),(151,1),(153,1),(170,1)}
       118:{1,4,6}:{(87,1),(88,1),(90,1),(152,1),(153,1)}
       119:{1,2,5,6}:{(88,1),(91,1),(102,1),(154,1),(155,1),(180,1),(243,1),(252,1),(325,1),(329,1),(399,1),(413,1)}
       120:{1,3,7}:{(89,1),(90,1),(153,1),(156,1)}
       121:{1,2,4,7}:{(90,1),(91,1),(104,1),(154,1),(156,1),(157,1),(158,1),(239,1),(440,1),(446,1),(453,1)}
       122:{1,3,5,7}:{(91,1),(92,1),(105,1),(155,1),(157,1),(158,1),(159,1),(184,1),(273,1)}
       123:{1,4,6,7}:{(92,1),(106,1),(158,1),(159,1),(241,1),(332,1)}
       124:{2,3,6}:{(93,1),(95,1),(160,1),(262,1),(274,1),(329,1)}
       125:{1,4,6}:{(93,1),(94,1),(96,1),(160,1),(161,1)}
       126:{2,5,6}:{(94,1),(97,1),(161,1),(162,1),(333,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(103,1),(160,1),(163,1),(164,1),(167,1),(273,1),(328,1)}
       128:{2,4,5,7}:{(96,1),(97,1),(104,1),(161,1),(163,1),(164,1),(165,1),(168,1),(246,1),(248,1),(333,1)}
       129:{3,5,7}:{(97,1),(98,1),(162,1),(165,1)}
       130:{3,4,6,7}:{(98,1),(106,1),(165,1),(166,1),(174,1),(245,1),(250,1),(262,1),(402,1),(444,1),(454,1)}
       131:{2,3,5}:{(99,1),(100,1),(167,1),(257,1),(270,1),(325,1),(403,1)}
       132:{1,4,5}:{(99,1),(101,1),(167,1),(168,1),(246,1),(341,1)}
       133:{1,3,4,6}:{(100,1),(101,1),(103,1),(109,1),(153,1),(160,1),(167,1),(169,1),(170,1),(177,1),(231,1),(245,1),(254,1),(255,1),(269,1),(324,1),(332,1),(341,1)}
       134:{2,4,6}:{(101,1),(102,1),(104,1),(168,1),(170,1)}
       135:{2,3,5,6}:{(102,1),(105,1),(111,1),(155,1),(162,1),(170,1),(171,1),(176,1),(181,1),(235,1),(244,1),(253,1),(257,1),(262,1),(270,1),(274,1),(325,1),(329,1),(331,1),(333,1),(340,1),(403,1),(413,1),(442,1),(445,1)}
       136:{2,4,7}:{(103,1),(112,1),(156,1),(163,1),(169,1),(173,1)}
       137:{3,7}:{(104,1),(170,1)}
       138:{2,4,7}:{(105,1),(114,1),(158,1),(165,1),(171,1),(174,1),(454,1)}
       139:{2,5,7}:{(106,1),(115,1),(159,1),(166,1),(176,1),(333,1),(403,1)}
       140:{2,3,4}:{(107,1),(177,1),(254,1),(267,1),(351,1)}
       141:{1,3,5}:{(107,1),(108,1),(109,1),(177,1),(178,1)}
       142:{1,2,4,5}:{(108,1),(110,1),(168,1),(178,1),(179,1),(183,1),(252,1),(264,1),(267,1),(270,1),(341,1),(354,1),(410,1),(416,1)}
       143:{2,6}:{(109,1),(112,1),(178,1)}
       144:{1,3,6}:{(110,1),(113,1),(170,1),(179,1),(181,1),(445,1)}
       145:{1,4,6}:{(111,1),(114,1),(171,1),(183,1),(341,1)}
       146:{1,2,7}:{(112,1),(180,1),(184,1),(447,1)}
       147:{2,3,7}:{(112,1),(113,1),(181,1),(184,1),(185,1),(447,1)}
       148:{1,3,4,7}:{(113,1),(114,1),(174,1),(182,1),(185,1),(186,1)}
       149:{1,4,5,7}:{(114,1),(115,1),(175,1),(183,1),(186,1),(187,1),(328,1)}
       150:{1,5,6}:{(115,1),(176,1),(187,1)}
       151:{2,3,5}:{(116,1),(117,1),(189,1),(190,1),(209,1)}
       152:{1,4,5}:{(116,1),(118,1),(190,1),(362,1),(365,1)}
       153:{1,3,6}:{(117,1),(118,1),(120,1),(190,1),(192,1)}
       154:{1,2,4,6}:{(118,1),(119,1),(121,1),(134,1),(191,1),(192,1),(193,1),(194,1),(281,1),(423,1),(432,1),(448,1)}
       155:{1,3,5,6}:{(119,1),(122,1),(135,1),(193,1),(194,1),(199,1),(223,1),(282,1),(286,1),(288,1),(297,1),(314,1),(317,1),(371,1)}
       156:{2,7}:{(120,1),(192,1)}
       157:{1,3,7}:{(121,1),(137,1),(193,1),(196,1),(452,1)}
       158:{1,4,7}:{(122,1),(138,1),(194,1)}
       159:{1,5,7}:{(123,1),(139,1),(199,1),(371,1)}
       160:{1,3,6}:{(124,1),(125,1),(127,1),(200,1),(201,1),(317,1),(368,1)}
       161:{2,4,6}:{(125,1),(126,1),(128,1),(200,1),(201,1),(202,1)}
       162:{3,5,6}:{(126,1),(129,1),(201,1),(202,1),(290,1)}
       163:{2,5,7}:{(127,1),(136,1),(200,1),(208,1)}
       164:{3,5,7}:{(128,1),(137,1),(201,1),(205,1),(209,1),(290,1)}
       165:{4,7}:{(129,1),(202,1)}
       166:{3,5,7}:{(130,1),(139,1),(206,1),(207,1),(290,1),(426,1)}
       167:{1,3,5}:{(131,1),(132,1),(133,1),(208,1),(209,1),(290,1),(314,1),(365,1),(371,1)}
       168:{2,4,5}:{(132,1),(134,1),(208,1),(209,1),(298,1)}
       169:{2,4,6}:{(133,1),(136,1),(143,1),(192,1),(200,1),(208,1),(211,1),(219,1),(276,1),(298,1)}
       170:{3,6}:{(134,1),(137,1),(209,1)}
       171:{2,4,6}:{(135,1),(138,1),(145,1),(194,1),(202,1),(212,1),(213,1),(298,1),(378,1),(450,1)}
       172:{1,2,4,7}:{(136,1),(146,1),(195,1),(203,1),(210,1),(214,1),(227,1),(284,1),(293,1),(305,1)}
       173:{2,3,7}:{(136,1),(137,1),(211,1),(214,1)}
       174:{3,4,7}:{(137,1),(138,1),(212,1),(216,1),(452,1)}
       175:{2,4,5,7}:{(138,1),(139,1),(149,1),(198,1),(206,1),(213,1),(216,1),(217,1),(228,1),(285,1)}
       176:{2,5,6}:{(139,1),(150,1),(199,1),(207,1),(217,1)}
       177:{1,3,4}:{(140,1),(141,1),(219,1),(309,1),(311,1)}
       178:{2,5}:{(141,1),(143,1),(219,1)}
       179:{1,3,5}:{(142,1),(144,1),(209,1),(221,1),(222,1),(309,1),(431,1)}
       180:{1,2,6}:{(143,1),(146,1),(220,1),(223,1),(435,1)}
       181:{2,3,6}:{(143,1),(144,1),(147,1),(221,1),(223,1),(224,1),(435,1)}
       182:{1,3,4,6}:{(144,1),(145,1),(148,1),(212,1),(222,1),(224,1),(225,1),(229,1)}
       183:{1,4,5}:{(145,1),(213,1),(225,1),(365,1),(371,1)}
       184:{1,3,7}:{(146,1),(147,1),(223,1),(227,1)}
       185:{2,4,7}:{(147,1),(148,1),(224,1),(227,1),(228,1)}
       186:{1,3,5,7}:{(148,1),(149,1),(216,1),(225,1),(228,1),(229,1)}
       187:{1,4,6}:{(149,1),(150,1),(217,1),(229,1),(368,1)}
       188:{1,5,6,7}:{(150,1),(218,1),(230,1),(428,1)}
       189:{2,3,4}:{(151,1),(231,1),(254,1),(322,1),(393,1)}
       190:{1,3,5}:{(151,1),(152,1),(153,1),(231,1),(232,1)}
       191:{1,2,4,5}:{(152,1),(154,1),(168,1),(232,1),(233,1),(237,1),(252,1),(319,1),(322,1),(325,1),(341,1),(396,1),(410,1),(437,1)}
       192:{2,6}:{(153,1),(156,1),(232,1)}
       193:{1,3,6}:{(154,1),(157,1),(170,1),(233,1),(235,1),(445,1)}
       194:{1,4,6}:{(155,1),(158,1),(171,1),(237,1),(341,1)}
       195:{1,2,7}:{(156,1),(234,1),(238,1),(453,1)}
       196:{2,3,7}:{(156,1),(157,1),(235,1),(238,1),(239,1),(453,1)}
       197:{1,3,4,7}:{(157,1),(158,1),(174,1),(236,1),(239,1),(240,1)}
       198:{1,4,5,7}:{(158,1),(159,1),(175,1),(237,1),(240,1),(241,1),(273,1)}
       199:{1,5,6}:{(159,1),(176,1),(241,1)}
       200:{2,6}:{(160,1),(163,1)}
       201:{3,6}:{(161,1),(164,1)}
       202:{4,6}:{(162,1),(165,1),(246,1)}
       203:{1,2,5,7}:{(163,1),(172,1),(243,1),(247,1),(252,1),(273,1),(328,1),(348,1)}
       204:{2,3,5,7}:{(163,1),(164,1),(173,1),(244,1),(247,1),(248,1),(253,1),(333,1)}
       205:{3,4,7}:{(164,1),(165,1),(245,1),(248,1),(254,1)}
       206:{4,5,7}:{(165,1),(166,1),(246,1),(250,1),(441,1),(454,1)}
       207:{3,5,6}:{(166,1),(176,1),(250,1),(262,1)}
       208:{2,5}:{(167,1),(169,1)}
       209:{3,5}:{(168,1),(170,1),(254,1)}
       210:{1,2,4,6}:{(169,1),(172,1),(180,1),(234,1),(243,1),(252,1),(255,1),(264,1),(269,1),(319,1),(324,1),(332,1),(341,1),(344,1)}
       211:{2,3,6}:{(169,1),(170,1),(173,1),(253,1),(255,1),(265,1),(320,1)}
       212:{3,4,6}:{(170,1),(171,1),(174,1),(254,1),(257,1),(262,1),(409,1),(445,1)}
       213:{2,4,5}:{(171,1),(183,1),(237,1),(246,1),(257,1),(270,1),(325,1),(333,1),(403,1),(441,1)}
       214:{1,3,7}:{(172,1),(173,1),(255,1),(259,1)}
       215:{2,3,4,7}:{(173,1),(174,1),(185,1),(239,1),(248,1),(256,1),(260,1),(261,1),(412,1),(418,1),(439,1)}
       216:{3,5,7}:{(174,1),(175,1),(257,1),(262,1)}
       217:{2,4,6}:{(175,1),(176,1),(187,1),(241,1),(250,1),(262,1),(274,1),(329,1)}
       218:{2,5,6,7}:{(176,1),(188,1),(242,1),(251,1),(263,1),(405,1),(443,1)}
       219:{2,4}:{(177,1),(178,1),(265,1)}
       220:{1,2,5}:{(178,1),(180,1),(264,1),(266,1),(416,1)}
       221:{2,3,5}:{(178,1),(179,1),(181,1),(265,1),(266,1),(267,1),(270,1),(351,1),(416,1)}
       222:{1,3,4}:{(179,1),(254,1),(267,1),(341,1),(409,1)}
       223:{1,3,6}:{(180,1),(181,1),(184,1),(266,1),(269,1)}
       224:{2,4,6}:{(181,1),(182,1),(185,1),(267,1),(269,1),(270,1),(274,1)}
       225:{1,3,5}:{(182,1),(183,1),(257,1),(270,1)}
       226:{1,4,5,6}:{(183,1),(187,1),(258,1),(271,1),(272,1),(399,1),(404,1),(411,1)}
       227:{1,4,7}:{(184,1),(185,1),(269,1),(273,1)}
       228:{2,5,7}:{(185,1),(186,1),(270,1),(273,1),(274,1)}
       229:{1,3,6}:{(186,1),(187,1),(262,1),(274,1)}
       230:{1,4,6,7}:{(187,1),(188,1),(263,1),(272,1),(275,1),(401,1)}
       231:{1,3,4}:{(189,1),(190,1),(276,1),(360,1),(362,1)}
       232:{2,5}:{(190,1),(192,1),(276,1)}
       233:{1,3,5}:{(191,1),(193,1),(209,1),(278,1),(279,1),(360,1),(431,1)}
       234:{1,2,6}:{(192,1),(195,1),(277,1),(280,1),(448,1)}
       235:{2,3,6}:{(192,1),(193,1),(196,1),(278,1),(280,1),(281,1),(448,1)}
       236:{1,3,4,6}:{(193,1),(194,1),(197,1),(212,1),(279,1),(281,1),(282,1),(286,1)}
       237:{1,4,5}:{(194,1),(213,1),(282,1),(314,1),(371,1)}
       238:{1,3,7}:{(195,1),(196,1),(280,1),(284,1)}
       239:{2,4,7}:{(196,1),(197,1),(281,1),(284,1),(285,1)}
       240:{1,3,5,7}:{(197,1),(198,1),(216,1),(282,1),(285,1),(286,1)}
       241:{1,4,6}:{(198,1),(199,1),(217,1),(286,1),(317,1)}
       242:{1,5,6,7}:{(199,1),(218,1),(287,1),(428,1)}
       243:{1,2,6}:{(200,1),(203,1),(288,1),(317,1),(368,1),(385,1)}
       244:{2,3,6}:{(200,1),(201,1),(204,1),(288,1),(289,1)}
       245:{3,4,6}:{(201,1),(202,1),(205,1),(289,1),(290,1)}
       246:{4,5}:{(202,1),(290,1)}
       247:{1,3,5,7}:{(203,1),(204,1),(214,1),(288,1),(292,1),(293,1),(297,1),(371,1)}
       248:{2,4,7}:{(204,1),(205,1),(289,1),(293,1),(298,1)}
       249:{3,4,5,7}:{(205,1),(206,1),(216,1),(290,1),(294,1),(295,1),(299,1),(373,1),(381,1)}
       250:{4,6}:{(206,1),(207,1)}
       251:{3,5,6,7}:{(207,1),(218,1),(296,1),(308,1),(373,1),(451,1)}
       252:{1,2,5}:{(208,1),(210,1),(297,1),(314,1),(365,1),(371,1),(382,1)}
       253:{2,3,5}:{(208,1),(209,1),(211,1),(297,1),(298,1)}
       254:{3,4}:{(209,1),(298,1)}
       255:{1,3,6}:{(210,1),(211,1),(214,1),(297,1),(300,1),(309,1),(360,1)}
       256:{2,3,4,6}:{(211,1),(212,1),(215,1),(224,1),(281,1),(289,1),(298,1),(301,1),(302,1),(307,1),(310,1),(361,1),(380,1),(389,1),(422,1)}
       257:{3,5}:{(212,1),(213,1)}
       258:{2,4,5,6}:{(213,1),(217,1),(226,1),(283,1),(291,1),(303,1),(304,1),(315,1),(366,1),(372,1),(380,1),(427,1),(432,1),(450,1)}
       259:{2,3,7}:{(214,1),(300,1),(305,1),(452,1)}
       260:{1,3,4,7}:{(214,1),(215,1),(227,1),(284,1),(293,1),(301,1),(305,1),(306,1),(374,1),(433,1),(436,1),(449,1),(452,1)}
       261:{2,3,5,7}:{(215,1),(216,1),(228,1),(285,1),(294,1),(302,1),(306,1),(307,1)}
       262:{3,6}:{(216,1),(217,1)}
       263:{2,4,6,7}:{(217,1),(218,1),(230,1),(287,1),(296,1),(304,1),(308,1),(318,1),(369,1)}
       264:{1,2,4}:{(219,1),(220,1),(309,1),(311,1),(387,1)}
       265:{2,3}:{(219,1),(309,1)}
       266:{1,3,5}:{(220,1),(221,1),(223,1),(309,1),(311,1),(314,1)}
       267:{2,4}:{(221,1),(222,1),(311,1)}
       268:{1,3,4,5}:{(222,1),(225,1),(299,1),(312,1),(313,1),(379,1),(388,1),(431,1)}
       269:{1,4,6}:{(223,1),(224,1),(227,1),(311,1),(314,1),(317,1)}
       270:{2,5}:{(224,1),(225,1),(314,1)}
       271:{1,3,5,6}:{(225,1),(226,1),(229,1),(303,1),(313,1),(315,1),(316,1)}
       272:{1,4,5,7}:{(226,1),(230,1),(304,1),(316,1),(425,1),(428,1),(433,1)}
       273:{1,5,7}:{(227,1),(228,1),(314,1),(317,1)}
       274:{2,6}:{(228,1),(229,1),(317,1)}
       275:{1,3,6,7}:{(229,1),(230,1),(308,1),(316,1),(318,1)}
       276:{2,4}:{(231,1),(232,1),(320,1)}
       277:{1,2,5}:{(232,1),(234,1),(319,1),(321,1),(437,1)}
       278:{2,3,5}:{(232,1),(233,1),(235,1),(320,1),(321,1),(322,1),(325,1),(393,1),(437,1)}
       279:{1,3,4}:{(233,1),(254,1),(322,1),(341,1),(409,1)}
       280:{1,3,6}:{(234,1),(235,1),(238,1),(321,1),(324,1)}
       281:{2,4,6}:{(235,1),(236,1),(239,1),(322,1),(324,1),(325,1),(329,1)}
       282:{1,3,5}:{(236,1),(237,1),(257,1),(325,1)}
       283:{1,4,5,6}:{(237,1),(241,1),(258,1),(326,1),(327,1),(357,1),(404,1),(411,1)}
       284:{1,4,7}:{(238,1),(239,1),(324,1),(328,1)}
       285:{2,5,7}:{(239,1),(240,1),(325,1),(328,1),(329,1)}
       286:{1,3,6}:{(240,1),(241,1),(262,1),(329,1)}
       287:{1,4,6,7}:{(241,1),(242,1),(263,1),(327,1),(330,1),(359,1)}
       288:{1,3,6}:{(243,1),(244,1),(247,1),(331,1),(332,1)}
       289:{2,4,6}:{(244,1),(245,1),(248,1),(332,1),(333,1)}
       290:{3,5}:{(245,1),(246,1),(333,1)}
       291:{4,5,6}:{(246,1),(250,1),(334,1),(335,1)}
       292:{2,3,5,7}:{(247,1),(259,1),(331,1),(336,1),(340,1),(348,1),(403,1),(406,1)}
       293:{1,4,7}:{(247,1),(248,1),(332,1),(336,1),(341,1)}
       294:{2,4,5,7}:{(248,1),(249,1),(261,1),(333,1),(337,1),(338,1),(342,1),(405,1),(412,1)}
       295:{3,4,6}:{(249,1),(250,1),(262,1),(334,1),(338,1)}
       296:{4,6,7}:{(250,1),(251,1),(335,1),(454,1)}
       297:{1,3,5}:{(252,1),(253,1),(255,1),(340,1),(341,1)}
       298:{2,4}:{(253,1),(254,1),(341,1)}
       299:{3,4,5}:{(254,1),(257,1),(342,1),(343,1),(441,1)}
       300:{2,3,6}:{(255,1),(259,1),(340,1),(344,1),(351,1),(393,1),(445,1)}
       301:{1,3,4,6}:{(255,1),(256,1),(260,1),(269,1),(324,1),(332,1),(341,1),(344,1),(345,1),(349,1),(352,1),(394,1),(402,1),(409,1),(411,1),(417,1),(438,1),(445,1)}
       302:{2,3,5}:{(256,1),(257,1),(270,1),(325,1),(333,1),(342,1),(345,1)}
       303:{3,5,6}:{(257,1),(258,1),(262,1),(343,1),(347,1),(445,1)}
       304:{2,4,5,7}:{(258,1),(263,1),(272,1),(327,1),(335,1),(347,1),(358,1),(400,1),(405,1),(412,1),(443,1),(446,1),(454,1)}
       305:{2,4,7}:{(259,1),(260,1),(344,1),(348,1),(447,1),(453,1)}
       306:{1,3,5,7}:{(260,1),(261,1),(273,1),(328,1),(337,1),(345,1),(348,1),(349,1),(406,1)}
       307:{2,3,6}:{(261,1),(262,1),(274,1),(329,1),(338,1),(349,1)}
       308:{3,6,7}:{(262,1),(263,1),(347,1)}
       309:{1,3}:{(264,1),(265,1),(351,1)}
       310:{2,3,4}:{(265,1),(267,1),(352,1),(353,1),(409,1)}
       311:{1,4}:{(266,1),(267,1)}
       312:{2,4,5}:{(267,1),(268,1),(270,1),(353,1),(354,1),(355,1),(416,1)}
       313:{1,3,4,6}:{(268,1),(271,1),(343,1),(355,1),(356,1),(411,1),(417,1),(445,1)}
       314:{1,5}:{(269,1),(270,1)}
       315:{2,5,6}:{(270,1),(271,1),(274,1),(355,1),(357,1),(358,1)}
       316:{1,3,5,7}:{(271,1),(272,1),(275,1),(347,1),(356,1),(358,1)}
       317:{1,6}:{(273,1),(274,1)}
       318:{2,6,7}:{(274,1),(275,1),(358,1),(359,1)}
       319:{1,2,4}:{(276,1),(277,1),(360,1),(362,1),(420,1)}
       320:{2,3}:{(276,1),(360,1)}
       321:{1,3,5}:{(277,1),(278,1),(280,1),(360,1),(362,1),(365,1)}
       322:{2,4}:{(278,1),(279,1),(362,1)}
       323:{1,3,4,5}:{(279,1),(282,1),(299,1),(363,1),(364,1),(379,1),(421,1),(431,1)}
       324:{1,4,6}:{(280,1),(281,1),(284,1),(362,1),(365,1),(368,1)}
       325:{2,5}:{(281,1),(282,1),(365,1)}
       326:{1,3,5,6}:{(282,1),(283,1),(286,1),(303,1),(364,1),(366,1),(367,1)}
       327:{1,4,5,7}:{(283,1),(287,1),(304,1),(367,1),(392,1),(428,1),(433,1)}
       328:{1,5,7}:{(284,1),(285,1),(365,1),(368,1)}
       329:{2,6}:{(285,1),(286,1),(368,1)}
       330:{1,3,6,7}:{(286,1),(287,1),(308,1),(367,1),(369,1)}
       331:{2,3,6}:{(288,1),(292,1),(370,1),(385,1),(429,1)}
       332:{1,4,6}:{(288,1),(289,1),(293,1),(370,1),(371,1)}
       333:{2,5}:{(289,1),(290,1),(371,1)}
       334:{3,5,6}:{(290,1),(291,1),(295,1),(372,1),(373,1)}
       335:{4,5,7}:{(291,1),(296,1),(373,1)}
       336:{2,4,7}:{(292,1),(293,1),(370,1),(374,1),(378,1)}
       337:{1,4,5,7}:{(293,1),(294,1),(306,1),(371,1),(375,1),(376,1),(379,1),(428,1),(433,1)}
       338:{2,4,6}:{(294,1),(295,1),(307,1),(372,1),(376,1)}
       339:{3,4,6,7}:{(295,1),(296,1),(308,1),(373,1),(377,1),(381,1)}
       340:{2,3,5}:{(297,1),(300,1),(378,1),(382,1),(431,1)}
       341:{1,4}:{(297,1),(298,1),(378,1)}
       342:{2,4,5}:{(298,1),(299,1),(302,1),(379,1),(380,1)}
       343:{3,4,6}:{(299,1),(303,1),(380,1),(381,1),(450,1)}
       344:{2,4,6}:{(300,1),(301,1),(305,1),(378,1),(382,1),(385,1),(387,1),(420,1),(435,1),(448,1)}
       345:{1,3,5}:{(301,1),(302,1),(314,1),(365,1),(371,1),(379,1),(382,1),(426,1),(431,1)}
       346:{2,3,5,6}:{(302,1),(303,1),(307,1),(315,1),(366,1),(372,1),(380,1),(383,1),(384,1),(389,1),(422,1)}
       347:{3,5,7}:{(303,1),(304,1),(308,1),(381,1),(452,1)}
       348:{2,5,7}:{(305,1),(306,1),(382,1),(385,1)}
       349:{1,3,6}:{(306,1),(307,1),(317,1),(368,1),(376,1),(385,1),(429,1)}
       350:{2,3,6,7}:{(307,1),(308,1),(318,1),(369,1),(377,1),(384,1),(386,1)}
       351:{2,3}:{(309,1),(387,1)}
       352:{1,3,4}:{(309,1),(310,1),(311,1),(387,1),(388,1)}
       353:{2,3,5}:{(310,1),(312,1),(388,1),(389,1),(431,1)}
       354:{1,4,5}:{(311,1),(312,1),(314,1),(388,1),(390,1)}
       355:{2,4,6}:{(312,1),(313,1),(315,1),(389,1),(390,1),(391,1),(435,1)}
       356:{1,3,4,7}:{(313,1),(316,1),(381,1),(391,1),(433,1),(436,1),(452,1)}
       357:{1,5,6}:{(314,1),(315,1),(317,1),(390,1),(392,1)}
       358:{2,5,7}:{(315,1),(316,1),(318,1),(391,1),(392,1)}
       359:{1,6,7}:{(317,1),(318,1),(392,1)}
       360:{1,3}:{(319,1),(320,1),(393,1)}
       361:{2,3,4}:{(320,1),(322,1),(394,1),(395,1),(409,1)}
       362:{1,4}:{(321,1),(322,1)}
       363:{2,4,5}:{(322,1),(323,1),(325,1),(395,1),(396,1),(397,1),(437,1)}
       364:{1,3,4,6}:{(323,1),(326,1),(343,1),(397,1),(398,1),(411,1),(438,1),(445,1)}
       365:{1,5}:{(324,1),(325,1)}
       366:{2,5,6}:{(325,1),(326,1),(329,1),(397,1),(399,1),(400,1)}
       367:{1,3,5,7}:{(326,1),(327,1),(330,1),(347,1),(398,1),(400,1)}
       368:{1,6}:{(328,1),(329,1)}
       369:{2,6,7}:{(329,1),(330,1),(400,1),(401,1)}
       370:{2,4,6}:{(331,1),(332,1),(336,1),(402,1),(403,1)}
       371:{1,5}:{(332,1),(333,1),(403,1)}
       372:{2,5,6}:{(333,1),(334,1),(338,1),(404,1),(405,1)}
       373:{3,5,7}:{(334,1),(335,1),(339,1),(405,1)}
       374:{3,4,7}:{(336,1),(402,1),(406,1),(409,1),(454,1)}
       375:{2,4,5,7}:{(336,1),(337,1),(348,1),(403,1),(406,1),(407,1),(410,1),(441,1),(443,1),(446,1),(454,1)}
       376:{1,4,6}:{(337,1),(338,1),(349,1),(404,1),(407,1)}
       377:{2,4,6,7}:{(338,1),(339,1),(350,1),(405,1),(408,1),(412,1)}
       378:{2,4}:{(340,1),(341,1),(409,1)}
       379:{1,4,5}:{(341,1),(342,1),(345,1),(410,1),(411,1),(441,1)}
       380:{2,4,6}:{(342,1),(343,1),(346,1),(411,1),(412,1)}
       381:{3,4,7}:{(343,1),(347,1),(412,1),(454,1)}
       382:{2,5}:{(344,1),(345,1)}
       383:{1,3,5,6}:{(345,1),(346,1),(349,1),(357,1),(399,1),(404,1),(411,1),(413,1),(414,1),(417,1),(438,1),(442,1),(445,1)}
       384:{2,3,5,7}:{(346,1),(347,1),(350,1),(358,1),(400,1),(405,1),(412,1),(414,1),(418,1),(439,1)}
       385:{2,6}:{(348,1),(349,1)}
       386:{1,3,6,7}:{(349,1),(350,1),(359,1),(401,1),(408,1),(414,1),(415,1),(444,1)}
       387:{2,4}:{(351,1),(352,1),(416,1)}
       388:{1,3,5}:{(352,1),(353,1),(354,1),(416,1),(417,1)}
       389:{2,3,6}:{(353,1),(355,1),(417,1),(418,1),(445,1)}
       390:{1,4,6}:{(354,1),(355,1),(357,1),(417,1),(419,1)}
       391:{2,4,7}:{(355,1),(356,1),(358,1),(418,1),(419,1),(447,1)}
       392:{1,5,7}:{(357,1),(358,1),(359,1),(419,1)}
       393:{2,3}:{(360,1),(420,1)}
       394:{1,3,4}:{(360,1),(361,1),(362,1),(420,1),(421,1)}
       395:{2,3,5}:{(361,1),(363,1),(421,1),(422,1),(431,1)}
       396:{1,4,5}:{(362,1),(363,1),(365,1),(421,1),(423,1)}
       397:{2,4,6}:{(363,1),(364,1),(366,1),(422,1),(423,1),(424,1),(448,1)}
       398:{1,3,4,7}:{(364,1),(367,1),(381,1),(424,1),(433,1),(449,1),(452,1)}
       399:{1,5,6}:{(365,1),(366,1),(368,1),(423,1),(425,1)}
       400:{2,5,7}:{(366,1),(367,1),(369,1),(424,1),(425,1)}
       401:{1,6,7}:{(368,1),(369,1),(425,1)}
       402:{3,4,6}:{(370,1),(374,1),(426,1),(429,1),(450,1)}
       403:{2,5}:{(370,1),(371,1),(426,1)}
       404:{1,5,6}:{(371,1),(372,1),(376,1),(427,1),(428,1)}
       405:{2,5,7}:{(372,1),(373,1),(377,1),(428,1)}
       406:{3,5,7}:{(374,1),(375,1),(426,1),(429,1),(431,1),(452,1)}
       407:{2,4,6}:{(375,1),(376,1),(385,1),(427,1),(429,1),(450,1)}
       408:{1,4,6,7}:{(376,1),(377,1),(386,1),(428,1),(430,1),(433,1)}
       409:{3,4}:{(378,1),(431,1)}
       410:{2,4,5}:{(378,1),(379,1),(382,1),(431,1),(432,1)}
       411:{1,4,6}:{(379,1),(380,1),(383,1),(432,1),(433,1),(450,1)}
       412:{2,4,7}:{(380,1),(381,1),(384,1),(433,1)}
       413:{2,5,6}:{(382,1),(383,1),(385,1),(432,1),(434,1),(435,1),(448,1)}
       414:{1,3,5,7}:{(383,1),(384,1),(386,1),(392,1),(425,1),(428,1),(433,1),(434,1),(436,1),(449,1),(451,1),(452,1)}
       415:{2,6,7}:{(385,1),(386,1),(434,1)}
       416:{2,5}:{(387,1),(388,1),(435,1)}
       417:{1,3,6}:{(388,1),(389,1),(390,1),(435,1),(436,1)}
       418:{2,3,7}:{(389,1),(391,1),(436,1),(452,1)}
       419:{1,4,7}:{(390,1),(391,1),(392,1),(436,1)}
       420:{2,4}:{(393,1),(394,1),(437,1)}
       421:{1,3,5}:{(394,1),(395,1),(396,1),(437,1),(438,1)}
       422:{2,3,6}:{(395,1),(397,1),(438,1),(439,1),(445,1)}
       423:{1,4,6}:{(396,1),(397,1),(399,1),(438,1),(440,1)}
       424:{2,4,7}:{(397,1),(398,1),(400,1),(439,1),(440,1),(453,1)}
       425:{1,5,7}:{(399,1),(400,1),(401,1),(440,1)}
       426:{3,5}:{(402,1),(403,1),(441,1)}
       427:{2,5,6}:{(403,1),(404,1),(407,1),(442,1),(443,1)}
       428:{1,5,7}:{(404,1),(405,1),(408,1),(443,1)}
       429:{3,6}:{(406,1),(407,1)}
       430:{2,4,6,7}:{(407,1),(408,1),(415,1),(443,1),(444,1),(446,1),(454,1)}
       431:{3,5}:{(409,1),(410,1),(445,1)}
       432:{2,4,6}:{(410,1),(411,1),(413,1),(445,1),(446,1)}
       433:{1,4,7}:{(411,1),(412,1),(414,1),(446,1),(454,1)}
       434:{2,5,7}:{(413,1),(414,1),(415,1),(446,1),(447,1),(453,1)}
       435:{2,6}:{(416,1),(417,1),(447,1)}
       436:{1,3,7}:{(417,1),(418,1),(419,1),(447,1)}
       437:{2,5}:{(420,1),(421,1),(448,1)}
       438:{1,3,6}:{(421,1),(422,1),(423,1),(448,1),(449,1)}
       439:{2,3,7}:{(422,1),(424,1),(449,1),(452,1)}
       440:{1,4,7}:{(423,1),(424,1),(425,1),(449,1)}
       441:{4,5}:{(426,1),(450,1)}
       442:{3,5,6}:{(426,1),(427,1),(429,1),(450,1),(451,1)}
       443:{2,5,7}:{(427,1),(428,1),(430,1),(451,1)}
       444:{3,6,7}:{(429,1),(430,1),(451,1),(452,1)}
       445:{3,6}:{(431,1),(432,1),(452,1)}
       446:{2,4,7}:{(432,1),(433,1),(434,1),(452,1)}
       447:{2,7}:{(435,1),(436,1)}
       448:{2,6}:{(437,1),(438,1),(453,1)}
       449:{1,3,7}:{(438,1),(439,1),(440,1),(453,1)}
       450:{4,6}:{(441,1),(442,1),(454,1)}
       451:{3,5,7}:{(442,1),(443,1),(444,1),(454,1)}
       452:{3,7}:{(445,1),(446,1)}
       453:{2,7}:{(448,1),(449,1)}
       454:{4,7}:{(450,1),(451,1)}

 231 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(36,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(55,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(27,1),(56,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(76,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(36,1),(45,1),(46,1),(82,1),(83,1),(101,1),(112,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(55,1),(59,1),(62,1),(84,1),(98,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(98,1),(115,1),(119,1),(122,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(27,1),(30,1),(100,1),(115,1),(122,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(27,1),(29,1),(56,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(27,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(36,1),(65,1),(71,1),(75,1),(82,1),(103,1),(104,1),(106,1),(112,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(36,1),(37,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(37,1),(39,1),(76,1)}
        24:{2,4,7}:{(13,1),(33,1),(36,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(37,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{3,6}:{(15,1),(16,1)}
        28:{2,4,6,7}:{(16,1),(38,1),(43,1),(45,1),(77,1),(83,1),(112,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(49,1),(54,1),(86,1),(100,1),(122,1)}
        32:{2,4,6}:{(19,1),(23,1),(49,1),(51,1),(56,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(122,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{2,5,7}:{(22,1),(24,1),(55,1),(56,1),(61,1),(123,1),(134,1)}
        37:{1,3,6}:{(22,1),(23,1),(27,1),(49,1),(56,1)}
        38:{1,4,6,7}:{(23,1),(28,1),(50,1),(57,1),(59,1),(94,1),(98,1),(120,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(59,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(55,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(56,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(122,1)}
        44:{3,5,6}:{(27,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        45:{2,5,7}:{(28,1),(29,1),(59,1),(63,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(106,1),(109,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(36,1),(65,1),(67,1),(68,1),(74,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(38,1),(69,1),(71,1),(77,1),(106,1),(112,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(70,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,5,7}:{(36,1),(40,1),(76,1),(81,1),(130,1),(138,1)}
        56:{2,6}:{(36,1),(37,1),(76,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(43,1),(69,1),(77,1),(79,1),(128,1)}
        58:{1,3,5,6}:{(37,1),(39,1),(42,1),(44,1),(70,1),(78,1),(79,1),(80,1),(113,1)}
        59:{1,5,7}:{(38,1),(39,1),(45,1),(71,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(76,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(44,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(55,1),(84,1),(87,1),(88,1),(92,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(56,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(122,1)}
        70:{3,5,6}:{(49,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(59,1),(89,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{1,6}:{(55,1),(56,1)}
        77:{2,6,7}:{(56,1),(57,1),(94,1),(96,1),(134,1)}
        78:{2,5,6}:{(56,1),(58,1),(61,1),(95,1),(96,1),(97,1)}
        79:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(89,1),(96,1),(98,1),(122,1)}
        80:{1,4,6}:{(58,1),(62,1),(64,1),(90,1),(97,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(97,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(72,1),(101,1),(105,1),(107,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(76,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(75,1),(104,1),(106,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(77,1),(110,1),(138,1)}
        95:{1,5,6}:{(76,1),(78,1),(81,1),(110,1),(111,1)}
        96:{2,5,7}:{(77,1),(78,1),(79,1),(110,1),(112,1)}
        97:{2,4,6}:{(78,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        98:{1,4,7}:{(79,1),(80,1),(83,1),(106,1),(112,1),(138,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(111,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(96,1),(120,1)}
       111:{1,4,6}:{(95,1),(97,1),(99,1),(120,1),(121,1)}
       112:{2,4,7}:{(96,1),(97,1),(98,1),(120,1),(122,1),(134,1)}
       113:{3,6}:{(97,1),(100,1),(122,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(121,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{1,3,6}:{(111,1),(113,1),(114,1),(128,1),(129,1)}
       122:{3,7}:{(112,1),(113,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(121,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 232 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(24,1),(27,1),(31,1),(56,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(56,1),(87,1)}
         2:{2,4,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(17,1),(41,1)}
         3:{3,5}:{(0,1),(9,1),(12,1)}
         4:{3,4,7}:{(0,1),(10,1),(13,1),(42,1),(74,1)}
         5:{1,3,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(32,1),(100,1)}
         6:{2,3,5}:{(1,1),(9,1),(15,1),(17,1),(40,1),(73,1),(76,1)}
         7:{2,3,7}:{(1,1),(10,1),(16,1),(74,1),(101,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(30,1),(55,1)}
         9:{2,5}:{(2,1),(3,1),(19,1)}
        10:{2,4,7}:{(2,1),(4,1),(7,1),(20,1),(23,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(27,1),(56,1),(60,1),(136,1),(144,1),(146,1)}
        12:{4,5}:{(3,1),(24,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(23,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(19,1),(28,1),(30,1),(47,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(20,1),(29,1),(48,1),(113,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,4,6}:{(8,1),(14,1),(32,1),(33,1),(34,1),(45,1),(64,1),(69,1),(96,1)}
        19:{1,5}:{(8,1),(9,1),(33,1)}
        20:{1,4,7}:{(8,1),(10,1),(16,1),(34,1),(37,1)}
        21:{2,5,6}:{(9,1),(11,1),(35,1),(38,1),(39,1),(41,1),(131,1),(142,1)}
        22:{2,4,5}:{(9,1),(12,1),(17,1),(36,1),(38,1),(40,1),(73,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(9,1),(10,1),(13,1),(37,1),(41,1)}
        24:{4,6}:{(11,1),(12,1),(42,1),(140,1)}
        25:{3,5,7}:{(11,1),(39,1),(42,1),(43,1),(74,1),(75,1)}
        26:{4,5,7}:{(12,1),(13,1),(42,1),(44,1),(75,1)}
        27:{3,6}:{(13,1),(41,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(64,1)}
        31:{3,4}:{(17,1),(40,1),(140,1)}
        32:{3,6}:{(18,1),(47,1),(48,1),(61,1)}
        33:{2,5}:{(18,1),(19,1),(47,1),(109,1)}
        34:{2,4,7}:{(18,1),(20,1),(29,1),(48,1),(51,1),(81,1)}
        35:{1,5,6}:{(19,1),(21,1),(49,1),(52,1),(53,1),(55,1),(123,1),(138,1)}
        36:{1,4,5}:{(19,1),(22,1),(30,1),(50,1),(52,1),(54,1),(89,1),(108,1),(123,1)}
        37:{1,5,7}:{(19,1),(20,1),(23,1),(51,1),(55,1)}
        38:{2,4,6}:{(21,1),(22,1),(24,1),(52,1),(56,1),(57,1),(87,1)}
        39:{2,5,7}:{(21,1),(25,1),(53,1),(57,1),(58,1)}
        40:{3,5}:{(22,1),(31,1),(56,1),(129,1)}
        41:{2,6}:{(23,1),(27,1),(55,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(27,1),(58,1),(59,1),(144,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(54,1),(61,1),(62,1),(80,1),(90,1),(108,1),(129,1)}
        47:{3,5}:{(32,1),(33,1),(64,1)}
        48:{3,7}:{(32,1),(34,1)}
        49:{2,5,6}:{(33,1),(35,1),(63,1),(66,1),(67,1),(69,1),(114,1),(133,1)}
        50:{2,4,5}:{(33,1),(36,1),(45,1),(64,1),(66,1),(68,1),(73,1),(91,1),(95,1),(114,1)}
        51:{2,5,7}:{(33,1),(34,1),(37,1),(65,1),(69,1)}
        52:{1,4,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(71,1),(100,1)}
        53:{1,5,7}:{(35,1),(39,1),(67,1),(71,1),(72,1)}
        54:{1,3,5}:{(36,1),(40,1),(46,1),(68,1),(70,1),(73,1)}
        55:{1,6}:{(37,1),(41,1),(69,1)}
        56:{3,6}:{(38,1),(40,1),(74,1)}
        57:{2,4,7}:{(38,1),(39,1),(42,1),(71,1),(74,1),(101,1)}
        58:{2,6,7}:{(39,1),(41,1),(43,1),(72,1),(142,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(75,1),(145,1)}
        60:{5,6}:{(44,1),(75,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(73,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(49,1),(78,1),(79,1),(82,1),(83,1),(103,1),(109,1),(125,1),(126,1)}
        64:{4}:{(47,1)}
        65:{3,5,7}:{(47,1),(48,1),(51,1),(81,1),(82,1),(109,1)}
        66:{2,4,6}:{(49,1),(50,1),(52,1),(78,1),(83,1),(84,1),(87,1)}
        67:{2,5,7}:{(49,1),(53,1),(79,1),(84,1),(85,1)}
        68:{3,5}:{(50,1),(61,1),(80,1),(83,1)}
        69:{2,6}:{(51,1),(55,1),(82,1)}
        70:{1,3,6}:{(52,1),(54,1),(56,1),(83,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(53,1),(57,1),(84,1),(88,1),(113,1)}
        72:{1,6,7}:{(53,1),(55,1),(58,1),(85,1),(138,1)}
        73:{2,5}:{(54,1),(62,1),(87,1),(89,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{5,7}:{(59,1),(60,1),(146,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(129,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(64,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(67,1),(93,1),(94,1),(98,1),(119,1)}
        80:{3,4}:{(64,1),(68,1),(95,1)}
        81:{4,7}:{(64,1),(65,1),(96,1)}
        82:{3,6}:{(65,1),(69,1),(96,1)}
        83:{3,6}:{(66,1),(68,1),(98,1)}
        84:{2,4,7}:{(66,1),(67,1),(71,1),(93,1),(98,1),(101,1)}
        85:{2,6,7}:{(67,1),(69,1),(72,1),(94,1),(133,1)}
        86:{2,3,5}:{(68,1),(73,1),(76,1),(95,1),(97,1),(99,1),(114,1)}
        87:{2,6}:{(70,1),(73,1),(100,1),(101,1)}
        88:{1,3,7}:{(70,1),(71,1),(74,1),(98,1),(101,1)}
        89:{1,5}:{(73,1),(77,1),(100,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(109,1)}
        92:{3,4,6}:{(78,1),(80,1),(83,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(85,1),(107,1),(125,1)}
        95:{2,4}:{(80,1),(86,1),(108,1)}
        96:{4,6}:{(81,1),(82,1),(109,1)}
        97:{2,3,6}:{(83,1),(86,1),(87,1),(105,1),(110,1),(111,1)}
        98:{3,7}:{(83,1),(84,1)}
        99:{1,3,5}:{(86,1),(89,1),(90,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
       100:{1,6}:{(87,1),(89,1),(113,1)}
       101:{2,7}:{(87,1),(88,1),(113,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(97,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(98,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(96,1),(116,1),(119,1)}
       108:{1,4}:{(95,1),(99,1),(120,1),(140,1)}
       109:{5}:{(96,1)}
       110:{1,3,6}:{(97,1),(99,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(99,1),(102,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 233 :   0:{3,4,7}:{(2,1),(3,1),(4,1),(54,1),(80,1)}
         1:{2,3,7}:{(2,1),(5,1),(6,1),(80,1),(103,1)}
         2:{2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1)}
         3:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1)}
         4:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(39,1),(42,1),(67,1)}
         5:{1,3,7}:{(1,1),(7,1),(13,1),(14,1),(28,1),(115,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(67,1),(92,1)}
         7:{1,4,7}:{(2,1),(5,1),(16,1),(17,1),(18,1)}
         8:{2,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1)}
         9:{2,4,6}:{(2,1),(4,1),(6,1),(18,1),(19,1),(20,1),(27,1)}
        10:{4,5,7}:{(3,1),(21,1),(24,1),(53,1),(54,1)}
        11:{3,6}:{(3,1),(19,1),(21,1)}
        12:{3,5}:{(4,1),(20,1),(24,1)}
        13:{2,7}:{(5,1),(25,1)}
        14:{1,3,6}:{(5,1),(6,1),(18,1),(25,1),(26,1),(44,1),(104,1)}
        15:{2,3,5}:{(6,1),(20,1),(26,1),(27,1),(52,1),(79,1),(81,1)}
        16:{2,4,7}:{(7,1),(13,1),(28,1),(29,1),(30,1),(57,1)}
        17:{1,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1)}
        18:{1,4,6}:{(7,1),(9,1),(14,1),(30,1),(31,1),(32,1),(41,1)}
        19:{2,6}:{(8,1),(11,1),(31,1)}
        20:{2,5}:{(9,1),(12,1),(32,1)}
        21:{4,6}:{(10,1),(11,1),(37,1)}
        22:{3,6,7}:{(11,1),(33,1),(36,1),(38,1),(143,1)}
        23:{3,5,6}:{(11,1),(12,1),(34,1),(37,1),(38,1),(39,1),(67,1),(138,1),(143,1),(146,1)}
        24:{4,5}:{(12,1),(39,1),(146,1)}
        25:{2,6}:{(13,1),(14,1),(40,1)}
        26:{1,3,5}:{(14,1),(15,1),(32,1),(40,1),(41,1),(59,1),(68,1),(93,1),(94,1)}
        27:{2,4}:{(15,1),(41,1),(42,1)}
        28:{3,7}:{(16,1),(44,1)}
        29:{2,5,7}:{(16,1),(17,1),(43,1),(45,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(25,1),(44,1),(45,1),(46,1),(55,1),(70,1),(73,1)}
        31:{1,6}:{(17,1),(19,1),(45,1)}
        32:{1,5}:{(18,1),(20,1),(46,1)}
        33:{2,6,7}:{(19,1),(22,1),(47,1),(50,1),(140,1)}
        34:{2,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(51,1),(133,1),(140,1)}
        35:{2,4,5}:{(20,1),(24,1),(27,1),(49,1),(51,1),(52,1),(79,1),(121,1),(133,1),(142,1)}
        36:{4,6,7}:{(21,1),(22,1),(53,1),(54,1),(145,1)}
        37:{5,6}:{(21,1),(53,1)}
        38:{3,5,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(80,1)}
        39:{4,6}:{(23,1),(24,1),(54,1),(142,1)}
        40:{2,5}:{(25,1),(26,1),(55,1),(105,1)}
        41:{1,4}:{(26,1),(27,1),(55,1),(73,1)}
        42:{3,4}:{(27,1),(52,1),(142,1)}
        43:{3,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(84,1)}
        44:{3,6}:{(28,1),(30,1),(59,1),(68,1)}
        45:{2,6}:{(29,1),(31,1),(58,1)}
        46:{2,5}:{(30,1),(32,1),(59,1),(84,1)}
        47:{1,6,7}:{(31,1),(33,1),(60,1),(63,1),(136,1)}
        48:{1,5,6}:{(31,1),(32,1),(34,1),(61,1),(63,1),(64,1),(126,1),(136,1)}
        49:{1,4,5}:{(32,1),(35,1),(41,1),(62,1),(64,1),(65,1),(93,1),(111,1),(126,1)}
        50:{2,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1)}
        51:{2,4,6}:{(34,1),(35,1),(39,1),(64,1),(66,1),(67,1),(92,1)}
        52:{3,5}:{(35,1),(42,1),(67,1),(129,1)}
        53:{5,7}:{(36,1),(37,1),(146,1)}
        54:{4,7}:{(38,1),(39,1)}
        55:{2,4}:{(40,1),(41,1),(68,1)}
        56:{1,3,4}:{(41,1),(42,1),(65,1),(68,1),(69,1),(87,1),(94,1),(111,1),(129,1)}
        57:{4,7}:{(43,1),(70,1),(73,1)}
        58:{3,6}:{(43,1),(45,1),(70,1)}
        59:{3,5}:{(44,1),(46,1),(73,1)}
        60:{2,6,7}:{(45,1),(47,1),(71,1),(74,1),(131,1)}
        61:{2,5,6}:{(45,1),(46,1),(48,1),(72,1),(74,1),(75,1),(118,1),(131,1)}
        62:{2,4,5}:{(46,1),(49,1),(55,1),(73,1),(75,1),(76,1),(79,1),(96,1),(99,1),(118,1)}
        63:{1,5,7}:{(47,1),(48,1),(50,1),(74,1),(77,1)}
        64:{1,4,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(78,1),(104,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(76,1),(78,1),(79,1)}
        66:{2,4,7}:{(50,1),(51,1),(54,1),(77,1),(80,1),(103,1)}
        67:{3,6}:{(51,1),(52,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(79,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(60,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        73:{4}:{(59,1)}
        74:{2,5,7}:{(60,1),(61,1),(63,1),(85,1),(88,1)}
        75:{2,4,6}:{(61,1),(62,1),(64,1),(86,1),(88,1),(89,1),(92,1)}
        76:{3,5}:{(62,1),(68,1),(87,1),(89,1)}
        77:{1,4,7}:{(63,1),(64,1),(66,1),(88,1),(91,1),(115,1)}
        78:{1,3,6}:{(64,1),(65,1),(67,1),(89,1),(91,1),(92,1)}
        79:{2,5}:{(65,1),(69,1),(92,1),(93,1)}
        80:{3,7}:{(66,1),(67,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(129,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(74,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(72,1),(73,1),(96,1),(97,1)}
        87:{3,4}:{(73,1),(76,1),(99,1)}
        88:{2,4,7}:{(74,1),(75,1),(77,1),(97,1),(100,1),(103,1)}
        89:{3,6}:{(75,1),(76,1),(100,1)}
        90:{2,3,5}:{(76,1),(79,1),(81,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3,7}:{(77,1),(78,1),(80,1),(100,1),(103,1)}
        92:{2,6}:{(78,1),(79,1),(103,1),(104,1)}
        93:{1,5}:{(79,1),(82,1),(104,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(93,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2,7}:{(91,1),(92,1),(115,1)}
       104:{1,6}:{(92,1),(93,1),(115,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(103,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(105,1),(121,1),(123,1)}
       115:{1,7}:{(103,1),(104,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 234 :  0:{4,5}:{(3,1),(4,1)}
        1:{3,4}:{(3,1),(5,1)}
        2:{2,3}:{(5,1),(6,1)}
        3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
        4:{4,6}:{(0,1),(8,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(7,1),(11,1)}
        6:{1,3}:{(2,1),(11,1),(12,1),(22,1)}
        7:{2,5}:{(3,1),(5,1),(13,1),(14,1)}
        8:{3,6}:{(3,1),(4,1),(14,1),(15,1)}
        9:{5,6}:{(4,1),(16,1)}
       10:{4,7}:{(4,1),(15,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(13,1),(17,1)}
       12:{2}:{(6,1)}
       13:{1,5}:{(7,1),(11,1),(18,1),(19,1)}
       14:{2,6}:{(7,1),(8,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(10,1),(20,1)}
       16:{5,7}:{(9,1),(10,1),(21,1)}
       17:{2,4}:{(11,1),(12,1),(18,1),(22,1),(26,1)}
       18:{2,5}:{(13,1),(17,1),(23,1),(24,1)}
       19:{1,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,7}:{(14,1),(15,1),(25,1)}
       21:{6,7}:{(16,1)}
       22:{3}:{(17,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 235 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(12,1),(20,1),(39,1),(46,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(28,1),(32,1),(60,1),(67,1),(68,1)}
         2:{2,4}:{(0,1),(6,1),(8,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(61,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(13,1),(20,1),(39,1),(52,1),(106,1),(129,1),(140,1)}
         5:{2,5}:{(1,1),(14,1),(15,1),(86,1)}
         6:{1,4}:{(1,1),(2,1),(14,1),(87,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(17,1),(18,1),(47,1),(81,1)}
         8:{3,4}:{(2,1),(12,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(18,1),(21,1),(44,1),(82,1)}
        11:{1,4,5}:{(4,1),(6,1),(22,1),(23,1),(24,1),(32,1),(60,1),(91,1),(120,1)}
        12:{3,5}:{(4,1),(8,1),(25,1),(118,1)}
        13:{2,4,6}:{(4,1),(24,1),(25,1),(26,1),(27,1),(61,1),(64,1)}
        14:{2,4}:{(5,1),(6,1),(28,1)}
        15:{2,6}:{(5,1),(7,1),(30,1)}
        16:{1,3,4}:{(6,1),(8,1),(23,1),(28,1),(31,1),(55,1),(67,1),(91,1),(118,1)}
        17:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(32,1),(33,1),(71,1)}
        18:{1,3,7}:{(7,1),(10,1),(30,1),(33,1),(69,1),(101,1)}
        19:{3,4,6}:{(8,1),(9,1),(25,1),(34,1),(35,1),(64,1),(73,1)}
        20:{2,5}:{(9,1),(32,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(33,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(14,1),(37,1),(38,1),(39,1),(48,1),(74,1),(87,1),(108,1),(110,1)}
        23:{1,3,5}:{(11,1),(12,1),(16,1),(37,1),(39,1),(40,1)}
        24:{1,4,6}:{(11,1),(13,1),(38,1),(40,1),(41,1),(42,1),(81,1)}
        25:{3,6}:{(12,1),(13,1),(44,1)}
        26:{2,5,6}:{(13,1),(20,1),(41,1),(43,1),(45,1),(54,1),(129,1),(142,1)}
        27:{2,4,7}:{(13,1),(42,1),(44,1),(45,1),(82,1),(84,1)}
        28:{3}:{(14,1)}
        29:{2,4,6}:{(14,1),(15,1),(17,1),(47,1),(48,1),(49,1),(87,1),(89,1),(117,1)}
        30:{2,7}:{(15,1),(18,1)}
        31:{2,4}:{(16,1),(39,1),(46,1),(50,1),(86,1)}
        32:{1,5}:{(17,1),(20,1),(48,1)}
        33:{1,4,7}:{(17,1),(18,1),(21,1),(49,1),(51,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(44,1),(53,1),(84,1)}
        36:{2,5,7}:{(20,1),(21,1),(51,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(28,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(24,1),(57,1),(58,1),(59,1),(61,1),(98,1)}
        39:{2,5}:{(23,1),(31,1),(60,1),(61,1)}
        40:{1,3,6}:{(23,1),(24,1),(25,1),(57,1),(61,1),(62,1)}
        41:{1,5,6}:{(24,1),(26,1),(32,1),(58,1),(63,1),(71,1),(120,1),(138,1)}
        42:{1,4,7}:{(24,1),(27,1),(59,1),(62,1),(63,1),(101,1)}
        43:{3,5,6}:{(25,1),(26,1),(34,1),(64,1),(65,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        44:{3,7}:{(25,1),(27,1)}
        45:{2,5,7}:{(26,1),(27,1),(63,1),(65,1),(66,1)}
        46:{2,3}:{(28,1),(31,1),(67,1),(118,1)}
        47:{3,6}:{(28,1),(29,1),(68,1),(69,1)}
        48:{2,5}:{(29,1),(32,1),(68,1),(127,1)}
        49:{2,4,7}:{(29,1),(30,1),(33,1),(69,1),(70,1),(103,1)}
        50:{1,4}:{(31,1),(60,1),(67,1)}
        51:{1,5,7}:{(32,1),(33,1),(36,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(64,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(71,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(87,1)}
        56:{2,3,5}:{(37,1),(39,1),(46,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(48,1),(78,1),(80,1),(89,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(42,1),(79,1),(80,1),(82,1),(114,1)}
        60:{1,5}:{(39,1),(50,1),(81,1)}
        61:{2,6}:{(39,1),(40,1),(81,1),(82,1)}
        62:{1,3,7}:{(40,1),(42,1),(44,1),(79,1),(82,1)}
        63:{1,5,7}:{(41,1),(42,1),(45,1),(80,1),(83,1)}
        64:{4,6}:{(43,1),(52,1),(84,1),(140,1)}
        65:{3,5,7}:{(43,1),(44,1),(45,1),(84,1),(85,1),(116,1)}
        66:{2,6,7}:{(45,1),(54,1),(83,1),(85,1),(142,1)}
        67:{1,3}:{(46,1),(50,1),(86,1)}
        68:{3,5}:{(47,1),(48,1),(87,1)}
        69:{3,7}:{(47,1),(49,1)}
        70:{2,5,7}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        71:{1,6}:{(51,1),(54,1),(89,1)}
        72:{4,5,7}:{(52,1),(53,1),(84,1),(90,1),(116,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(67,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(61,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(68,1),(93,1),(98,1),(99,1),(104,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(63,1),(99,1),(100,1)}
        81:{1,6}:{(60,1),(61,1),(101,1)}
        82:{2,7}:{(61,1),(62,1),(101,1)}
        83:{1,6,7}:{(63,1),(66,1),(71,1),(100,1),(138,1)}
        84:{4,7}:{(64,1),(65,1)}
        85:{3,6,7}:{(65,1),(66,1),(73,1),(102,1),(144,1)}
        86:{2}:{(67,1)}
        87:{4}:{(68,1)}
        88:{3,5,7}:{(68,1),(69,1),(70,1),(103,1),(104,1),(127,1)}
        89:{2,6}:{(70,1),(71,1),(104,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(86,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(81,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(82,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(87,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(83,1),(89,1),(115,1),(132,1)}
       101:{1,7}:{(81,1),(82,1)}
       102:{4,6,7}:{(84,1),(85,1),(90,1),(116,1),(145,1)}
       103:{4,7}:{(87,1),(88,1),(117,1)}
       104:{3,6}:{(88,1),(89,1),(117,1)}
       105:{5,6}:{(90,1),(116,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(101,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(104,1),(124,1),(126,1)}
       116:{5,7}:{(102,1),(105,1),(146,1)}
       117:{4,6}:{(103,1),(104,1),(127,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{5}:{(117,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 236 :   0:{1,2,4}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(5,1),(6,1),(15,1),(99,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1),(11,1),(32,1)}
         4:{2,3}:{(1,1),(7,1),(9,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(35,1),(83,1),(90,1)}
         6:{1,2,6}:{(2,1),(12,1),(13,1),(26,1)}
         7:{2,4}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,3,5}:{(3,1),(15,1),(16,1),(17,1),(39,1)}
         9:{1,3}:{(4,1),(14,1),(18,1)}
        10:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(39,1),(50,1),(69,1),(77,1)}
        11:{1,4}:{(5,1),(20,1)}
        12:{1,3,6}:{(5,1),(6,1),(21,1),(22,1),(23,1),(94,1)}
        13:{1,2,7}:{(6,1),(23,1),(41,1)}
        14:{1,4}:{(7,1),(9,1),(24,1)}
        15:{2,5}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,4,5}:{(8,1),(11,1),(25,1),(27,1),(35,1),(83,1)}
        17:{1,3,6}:{(8,1),(26,1),(27,1),(28,1),(56,1)}
        18:{1,2}:{(9,1)}
        19:{1,3,5}:{(9,1),(10,1),(24,1),(29,1),(30,1),(31,1),(60,1),(63,1)}
        20:{2,4}:{(10,1),(11,1),(30,1),(32,1)}
        21:{2,3,6}:{(10,1),(12,1),(26,1),(31,1),(33,1),(34,1),(56,1),(84,1)}
        22:{1,4,6}:{(11,1),(12,1),(33,1),(35,1),(36,1),(68,1)}
        23:{1,3,7}:{(12,1),(13,1),(34,1),(36,1),(101,1)}
        24:{1,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(15,1),(16,1),(20,1),(37,1),(39,1),(40,1),(50,1),(69,1),(80,1)}
        26:{2,6}:{(15,1),(17,1),(38,1),(41,1)}
        27:{1,4,6}:{(16,1),(17,1),(40,1),(42,1),(43,1),(94,1)}
        28:{1,3,7}:{(17,1),(41,1),(43,1),(74,1)}
        29:{1,2,5}:{(18,1),(19,1),(44,1),(45,1),(69,1)}
        30:{1,4}:{(19,1),(20,1)}
        31:{1,3,6}:{(19,1),(21,1),(38,1),(45,1),(47,1),(48,1)}
        32:{3,4}:{(20,1),(39,1)}
        33:{2,4,6}:{(20,1),(21,1),(22,1),(47,1),(49,1),(50,1),(51,1),(82,1)}
        34:{2,3,7}:{(21,1),(23,1),(41,1),(48,1),(51,1),(74,1),(95,1)}
        35:{1,5}:{(22,1),(50,1)}
        36:{1,4,7}:{(22,1),(23,1),(51,1),(52,1)}
        37:{1,4,5}:{(24,1),(25,1),(30,1),(53,1),(54,1),(63,1)}
        38:{1,6}:{(24,1),(26,1),(55,1)}
        39:{3,5}:{(25,1),(32,1),(56,1)}
        40:{2,4,6}:{(25,1),(26,1),(27,1),(54,1),(56,1),(57,1),(58,1),(84,1),(87,1)}
        41:{2,7}:{(26,1),(28,1),(55,1)}
        42:{1,5,6}:{(27,1),(35,1),(57,1),(59,1),(68,1)}
        43:{1,4,7}:{(27,1),(28,1),(58,1),(59,1),(101,1)}
        44:{1,2,4}:{(29,1),(30,1),(60,1),(62,1)}
        45:{1,2,6}:{(29,1),(31,1),(61,1),(84,1)}
        46:{1,3,4}:{(30,1),(32,1),(53,1),(60,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(33,1),(63,1),(64,1),(91,1)}
        48:{1,3,7}:{(31,1),(34,1),(55,1),(61,1),(64,1)}
        49:{3,4,6}:{(32,1),(33,1),(56,1),(65,1),(66,1),(87,1),(93,1)}
        50:{2,5}:{(33,1),(35,1),(63,1),(65,1)}
        51:{2,4,7}:{(33,1),(34,1),(36,1),(64,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{1,3,5}:{(37,1),(39,1),(46,1),(69,1),(70,1)}
        54:{1,4,6}:{(37,1),(38,1),(40,1),(70,1),(71,1),(72,1)}
        55:{1,7}:{(38,1),(41,1)}
        56:{3,6}:{(39,1),(40,1),(74,1)}
        57:{2,5,6}:{(40,1),(42,1),(50,1),(71,1),(73,1),(75,1),(82,1)}
        58:{2,4,7}:{(40,1),(41,1),(43,1),(72,1),(74,1),(75,1),(95,1),(97,1)}
        59:{1,5,7}:{(42,1),(43,1),(75,1),(76,1)}
        60:{1,3}:{(44,1),(77,1)}
        61:{1,2,7}:{(45,1),(48,1),(95,1)}
        62:{2,4}:{(46,1),(69,1),(77,1),(78,1)}
        63:{1,5}:{(47,1),(50,1)}
        64:{1,4,7}:{(47,1),(48,1),(51,1),(79,1)}
        65:{3,5}:{(49,1),(50,1),(80,1)}
        66:{3,4,7}:{(49,1),(51,1),(74,1),(81,1),(97,1)}
        67:{2,5,7}:{(50,1),(51,1),(52,1),(79,1),(81,1),(82,1)}
        68:{1,6}:{(52,1),(82,1)}
        69:{2,5}:{(53,1),(62,1),(83,1),(84,1)}
        70:{1,3,6}:{(53,1),(54,1),(56,1),(84,1),(85,1)}
        71:{1,5,6}:{(54,1),(57,1),(63,1),(86,1),(91,1)}
        72:{1,4,7}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        73:{3,5,6}:{(56,1),(57,1),(65,1),(87,1),(88,1),(93,1),(103,1)}
        74:{3,7}:{(56,1),(58,1)}
        75:{2,5,7}:{(57,1),(58,1),(59,1),(86,1),(88,1),(89,1)}
        76:{1,6,7}:{(59,1),(68,1),(89,1)}
        77:{2,3}:{(60,1),(62,1),(90,1)}
        78:{1,4}:{(62,1),(83,1),(90,1)}
        79:{1,5,7}:{(63,1),(64,1),(67,1),(91,1)}
        80:{4,5}:{(65,1),(87,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        82:{2,6}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,5}:{(69,1),(78,1),(94,1)}
        84:{2,6}:{(69,1),(70,1),(94,1),(95,1)}
        85:{1,3,7}:{(70,1),(72,1),(74,1),(95,1)}
        86:{1,5,7}:{(71,1),(72,1),(75,1),(96,1)}
        87:{4,6}:{(73,1),(80,1),(97,1)}
        88:{3,5,7}:{(73,1),(74,1),(75,1),(97,1),(98,1),(104,1)}
        89:{2,6,7}:{(75,1),(76,1),(82,1),(96,1),(98,1)}
        90:{1,3}:{(77,1),(78,1),(99,1)}
        91:{1,6}:{(79,1),(82,1)}
        92:{4,5,7}:{(80,1),(81,1),(97,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(82,1),(100,1)}
        94:{1,6}:{(83,1),(84,1),(101,1)}
        95:{2,7}:{(84,1),(85,1),(101,1)}
        96:{1,6,7}:{(86,1),(89,1),(91,1)}
        97:{4,7}:{(87,1),(88,1)}
        98:{3,6,7}:{(88,1),(89,1),(93,1),(102,1)}
        99:{1,2}:{(90,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(94,1),(95,1)}
       102:{4,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 237 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(49,1),(55,1)}
         1:{2,3,5}:{(2,1),(5,1),(6,1),(22,1),(23,1),(26,1),(49,1)}
         2:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1),(37,1),(68,1)}
         3:{1,2,4}:{(0,1),(8,1),(10,1),(34,1)}
         4:{1,2,6}:{(0,1),(9,1),(11,1),(69,1)}
         5:{2,4}:{(1,1),(8,1),(13,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(38,1),(69,1)}
         7:{2,3,5}:{(2,1),(16,1),(17,1),(22,1),(44,1),(47,1),(49,1)}
         8:{1,4}:{(2,1),(5,1),(16,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(17,1),(20,1),(21,1),(84,1)}
        10:{1,3}:{(3,1),(22,1)}
        11:{1,2,7}:{(4,1),(21,1),(85,1)}
        12:{2,4,5}:{(5,1),(18,1),(23,1),(24,1),(26,1),(49,1),(59,1)}
        13:{3,4}:{(5,1),(23,1)}
        14:{2,4,6}:{(5,1),(6,1),(20,1),(25,1),(26,1),(27,1),(61,1)}
        15:{2,3,7}:{(6,1),(21,1),(27,1),(57,1),(85,1)}
        16:{2,4}:{(7,1),(8,1),(29,1)}
        17:{2,3,6}:{(7,1),(9,1),(30,1),(31,1),(62,1),(69,1)}
        18:{1,4,5}:{(8,1),(12,1),(28,1),(32,1),(33,1),(35,1),(68,1)}
        19:{1,3,4}:{(8,1),(10,1),(13,1),(29,1),(32,1),(34,1)}
        20:{1,4,6}:{(8,1),(9,1),(14,1),(30,1),(35,1),(36,1),(72,1)}
        21:{1,3,7}:{(9,1),(11,1),(15,1),(31,1),(36,1),(95,1)}
        22:{2,3}:{(10,1),(34,1),(37,1)}
        23:{3,5}:{(12,1),(13,1),(38,1)}
        24:{2,4,6}:{(12,1),(33,1),(38,1),(39,1),(40,1),(69,1),(73,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(42,1),(73,1),(77,1)}
        26:{2,5}:{(14,1),(35,1),(41,1)}
        27:{2,4,7}:{(14,1),(15,1),(36,1),(42,1),(43,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1),(45,1),(47,1),(49,1),(81,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{2,4,6}:{(16,1),(17,1),(20,1),(46,1),(47,1),(48,1),(83,1)}
        31:{2,3,7}:{(17,1),(21,1),(48,1),(79,1),(85,1)}
        32:{1,3,5}:{(18,1),(19,1),(23,1),(44,1),(49,1),(50,1)}
        33:{1,4,6}:{(18,1),(24,1),(45,1),(50,1),(51,1),(52,1),(84,1)}
        34:{2,4}:{(19,1),(22,1),(49,1),(53,1)}
        35:{1,5}:{(20,1),(26,1),(47,1)}
        36:{1,4,7}:{(20,1),(21,1),(27,1),(48,1),(54,1)}
        37:{1,3}:{(22,1),(53,1),(55,1)}
        38:{3,6}:{(23,1),(24,1),(57,1)}
        39:{2,5,6}:{(24,1),(26,1),(51,1),(56,1),(58,1),(61,1)}
        40:{2,4,7}:{(24,1),(52,1),(57,1),(58,1),(85,1),(87,1)}
        41:{3,5}:{(25,1),(26,1),(59,1)}
        42:{3,4,7}:{(25,1),(27,1),(57,1),(60,1),(87,1)}
        43:{2,5,7}:{(26,1),(27,1),(54,1),(60,1),(61,1)}
        44:{3,5}:{(28,1),(29,1),(62,1)}
        45:{2,4,6}:{(28,1),(33,1),(62,1),(63,1),(64,1),(69,1),(90,1)}
        46:{3,4,6}:{(29,1),(30,1),(62,1),(65,1),(66,1),(90,1),(94,1)}
        47:{2,5}:{(30,1),(35,1),(65,1)}
        48:{2,4,7}:{(30,1),(31,1),(36,1),(66,1),(67,1)}
        49:{2,5}:{(32,1),(34,1),(68,1),(69,1)}
        50:{1,3,6}:{(32,1),(33,1),(38,1),(62,1),(69,1),(70,1)}
        51:{1,5,6}:{(33,1),(35,1),(39,1),(63,1),(71,1),(72,1)}
        52:{1,4,7}:{(33,1),(40,1),(64,1),(70,1),(71,1),(95,1)}
        53:{1,4}:{(34,1),(37,1),(68,1)}
        54:{1,5,7}:{(35,1),(36,1),(43,1),(67,1),(72,1)}
        55:{1,2}:{(37,1)}
        56:{3,5,6}:{(38,1),(39,1),(41,1),(73,1),(74,1),(77,1),(97,1)}
        57:{3,7}:{(38,1),(40,1)}
        58:{2,5,7}:{(39,1),(40,1),(71,1),(74,1),(75,1)}
        59:{4,5}:{(41,1),(73,1)}
        60:{3,5,7}:{(41,1),(42,1),(43,1),(76,1),(77,1)}
        61:{2,6}:{(43,1),(72,1),(77,1)}
        62:{3,6}:{(44,1),(45,1),(79,1)}
        63:{2,5,6}:{(45,1),(47,1),(51,1),(78,1),(80,1),(83,1)}
        64:{2,4,7}:{(45,1),(52,1),(79,1),(80,1),(85,1),(98,1)}
        65:{3,5}:{(46,1),(47,1),(81,1)}
        66:{3,4,7}:{(46,1),(48,1),(79,1),(82,1),(98,1)}
        67:{2,5,7}:{(47,1),(48,1),(54,1),(82,1),(83,1)}
        68:{1,5}:{(49,1),(53,1),(84,1)}
        69:{2,6}:{(49,1),(50,1),(84,1),(85,1)}
        70:{1,3,7}:{(50,1),(52,1),(57,1),(79,1),(85,1)}
        71:{1,5,7}:{(51,1),(52,1),(58,1),(80,1),(86,1)}
        72:{1,6}:{(54,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(59,1),(87,1)}
        74:{3,5,7}:{(56,1),(57,1),(58,1),(87,1),(88,1),(101,1)}
        75:{2,6,7}:{(58,1),(61,1),(86,1),(88,1)}
        76:{4,5,7}:{(59,1),(60,1),(87,1),(89,1),(101,1)}
        77:{3,6}:{(60,1),(61,1),(89,1)}
        78:{3,5,6}:{(62,1),(63,1),(65,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(62,1),(64,1)}
        80:{2,5,7}:{(63,1),(64,1),(71,1),(91,1),(92,1)}
        81:{4,5}:{(65,1),(90,1)}
        82:{3,5,7}:{(65,1),(66,1),(67,1),(93,1),(94,1)}
        83:{2,6}:{(67,1),(72,1),(94,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(75,1),(92,1)}
        87:{4,7}:{(73,1),(74,1)}
        88:{3,6,7}:{(74,1),(75,1),(77,1),(96,1)}
        89:{4,6}:{(76,1),(77,1),(97,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(86,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(89,1),(101,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 238 :   0:{1,2,6}:{(2,1),(3,1),(4,1),(89,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(62,1),(89,1)}
         2:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(11,1),(98,1)}
         3:{1,2,5}:{(0,1),(10,1),(12,1),(75,1),(77,1)}
         4:{1,2,7}:{(0,1),(11,1),(99,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(16,1),(45,1)}
         6:{2,3,5}:{(1,1),(10,1),(14,1),(16,1),(38,1),(44,1),(75,1)}
         7:{2,3,7}:{(1,1),(11,1),(15,1),(81,1),(99,1)}
         8:{2,3,6}:{(2,1),(17,1),(18,1),(19,1),(86,1),(89,1)}
         9:{1,4,6}:{(2,1),(5,1),(17,1),(20,1),(21,1),(22,1),(55,1)}
        10:{1,3,5}:{(2,1),(3,1),(6,1),(18,1),(20,1),(22,1),(23,1),(57,1),(91,1)}
        11:{1,3,7}:{(2,1),(4,1),(7,1),(19,1),(21,1),(103,1)}
        12:{1,2,4}:{(3,1),(22,1),(23,1),(56,1)}
        13:{3,4,6}:{(5,1),(24,1),(25,1),(29,1),(58,1),(61,1),(62,1)}
        14:{2,5}:{(5,1),(20,1),(24,1)}
        15:{2,4,7}:{(5,1),(7,1),(21,1),(25,1),(28,1)}
        16:{2,4}:{(6,1),(22,1),(29,1)}
        17:{2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(71,1)}
        18:{2,3,5}:{(8,1),(10,1),(31,1),(33,1),(38,1),(70,1),(75,1)}
        19:{2,3,7}:{(8,1),(11,1),(32,1),(97,1),(99,1)}
        20:{1,5}:{(9,1),(14,1),(31,1)}
        21:{1,4,7}:{(9,1),(11,1),(15,1),(32,1),(36,1)}
        22:{1,4}:{(10,1),(16,1),(33,1)}
        23:{1,3}:{(12,1),(38,1)}
        24:{3,5}:{(13,1),(14,1),(40,1)}
        25:{3,4,7}:{(13,1),(15,1),(41,1),(78,1),(81,1)}
        26:{2,5,6}:{(14,1),(34,1),(39,1),(42,1),(43,1),(45,1)}
        27:{2,4,5}:{(14,1),(16,1),(35,1),(40,1),(42,1),(44,1),(75,1)}
        28:{2,5,7}:{(14,1),(15,1),(36,1),(41,1),(45,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(51,1),(82,1),(85,1),(86,1)}
        31:{2,5}:{(17,1),(20,1),(46,1)}
        32:{2,4,7}:{(17,1),(19,1),(21,1),(47,1),(50,1)}
        33:{2,4}:{(18,1),(22,1),(51,1)}
        34:{1,5,6}:{(20,1),(26,1),(48,1),(52,1),(53,1),(55,1)}
        35:{1,4,5}:{(20,1),(22,1),(27,1),(49,1),(52,1),(54,1),(91,1)}
        36:{1,5,7}:{(20,1),(21,1),(28,1),(50,1),(55,1)}
        37:{1,3,4}:{(22,1),(23,1),(29,1),(51,1),(54,1),(56,1)}
        38:{2,3}:{(23,1),(56,1),(57,1)}
        39:{3,5,6}:{(24,1),(26,1),(58,1),(59,1),(61,1),(62,1),(93,1)}
        40:{4,5}:{(24,1),(58,1)}
        41:{3,5,7}:{(24,1),(25,1),(28,1),(60,1),(61,1)}
        42:{2,4,6}:{(26,1),(27,1),(52,1),(58,1),(62,1),(63,1),(89,1)}
        43:{2,5,7}:{(26,1),(53,1),(59,1),(63,1),(64,1)}
        44:{3,5}:{(27,1),(29,1),(62,1)}
        45:{2,6}:{(28,1),(55,1),(61,1)}
        46:{3,5}:{(30,1),(31,1),(66,1)}
        47:{3,4,7}:{(30,1),(32,1),(67,1),(94,1),(97,1)}
        48:{2,5,6}:{(31,1),(34,1),(65,1),(68,1),(69,1),(71,1)}
        49:{2,4,5}:{(31,1),(33,1),(35,1),(66,1),(68,1),(70,1),(75,1)}
        50:{2,5,7}:{(31,1),(32,1),(36,1),(67,1),(71,1)}
        51:{3,4}:{(33,1),(70,1)}
        52:{1,4,6}:{(34,1),(35,1),(42,1),(68,1),(72,1),(73,1),(98,1)}
        53:{1,5,7}:{(34,1),(43,1),(69,1),(73,1),(74,1)}
        54:{1,3,5}:{(35,1),(37,1),(44,1),(70,1),(72,1),(75,1)}
        55:{1,6}:{(36,1),(45,1),(71,1)}
        56:{2,4}:{(37,1),(38,1),(75,1),(76,1)}
        57:{1,3}:{(38,1),(76,1),(77,1)}
        58:{4,6}:{(39,1),(40,1),(78,1)}
        59:{3,5,7}:{(39,1),(43,1),(78,1),(79,1),(81,1),(100,1)}
        60:{4,5,7}:{(40,1),(41,1),(78,1),(80,1),(100,1)}
        61:{3,6}:{(41,1),(45,1),(80,1)}
        62:{3,6}:{(42,1),(44,1),(81,1)}
        63:{2,4,7}:{(42,1),(43,1),(73,1),(78,1),(81,1),(99,1)}
        64:{2,6,7}:{(43,1),(45,1),(74,1),(79,1)}
        65:{3,5,6}:{(46,1),(48,1),(82,1),(83,1),(85,1),(86,1),(102,1)}
        66:{4,5}:{(46,1),(82,1)}
        67:{3,5,7}:{(46,1),(47,1),(50,1),(84,1),(85,1)}
        68:{2,4,6}:{(48,1),(49,1),(52,1),(82,1),(86,1),(87,1),(89,1)}
        69:{2,5,7}:{(48,1),(53,1),(83,1),(87,1),(88,1)}
        70:{3,5}:{(49,1),(51,1),(86,1)}
        71:{2,6}:{(50,1),(55,1),(85,1)}
        72:{1,3,6}:{(52,1),(54,1),(62,1),(86,1),(89,1),(90,1)}
        73:{1,4,7}:{(52,1),(53,1),(63,1),(87,1),(90,1),(103,1)}
        74:{1,6,7}:{(53,1),(55,1),(64,1),(88,1)}
        75:{2,5}:{(54,1),(56,1),(89,1),(91,1)}
        76:{1,4}:{(56,1),(57,1),(91,1)}
        77:{1,2}:{(57,1)}
        78:{4,7}:{(58,1),(59,1)}
        79:{3,6,7}:{(59,1),(61,1),(64,1),(92,1)}
        80:{4,6}:{(60,1),(61,1),(93,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{4,6}:{(65,1),(66,1),(94,1)}
        83:{3,5,7}:{(65,1),(69,1),(94,1),(95,1),(97,1),(104,1)}
        84:{4,5,7}:{(66,1),(67,1),(94,1),(96,1),(104,1)}
        85:{3,6}:{(67,1),(71,1),(96,1)}
        86:{3,6}:{(68,1),(70,1),(97,1)}
        87:{2,4,7}:{(68,1),(69,1),(73,1),(94,1),(97,1),(99,1)}
        88:{2,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        89:{2,6}:{(72,1),(75,1),(98,1),(99,1)}
        90:{1,3,7}:{(72,1),(73,1),(81,1),(97,1),(99,1)}
        91:{1,5}:{(75,1),(76,1),(98,1)}
        92:{4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        93:{5,6}:{(80,1),(100,1)}
        94:{4,7}:{(82,1),(83,1)}
        95:{3,6,7}:{(83,1),(85,1),(88,1),(101,1)}
        96:{4,6}:{(84,1),(85,1),(102,1)}
        97:{3,7}:{(86,1),(87,1)}
        98:{1,6}:{(89,1),(91,1),(103,1)}
        99:{2,7}:{(89,1),(90,1),(103,1)}
       100:{5,7}:{(92,1),(93,1)}
       101:{4,6,7}:{(94,1),(95,1),(96,1),(104,1)}
       102:{5,6}:{(96,1),(104,1)}
       103:{1,7}:{(98,1),(99,1)}
       104:{5,7}:{(101,1),(102,1)}

 239 :   0:{1,2,7}:{(2,1),(3,1),(102,1)}
         1:{2,3,7}:{(2,1),(4,1),(5,1),(89,1),(102,1)}
         2:{1,3,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(104,1)}
         3:{1,2,6}:{(0,1),(8,1),(9,1),(97,1)}
         4:{2,4,7}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
         5:{2,3,6}:{(1,1),(8,1),(12,1),(13,1),(74,1),(97,1)}
         6:{2,3,7}:{(2,1),(14,1),(15,1),(101,1),(102,1)}
         7:{1,4,7}:{(2,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,6}:{(2,1),(3,1),(5,1),(15,1),(17,1),(18,1),(103,1)}
         9:{1,2,5}:{(3,1),(18,1),(19,1),(84,1),(86,1)}
        10:{3,4,7}:{(4,1),(20,1),(21,1),(88,1),(89,1)}
        11:{2,5,7}:{(4,1),(16,1),(20,1),(22,1),(23,1)}
        12:{2,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(24,1)}
        13:{2,3,5}:{(5,1),(18,1),(23,1),(24,1),(49,1),(56,1),(84,1)}
        14:{2,4,7}:{(6,1),(7,1),(25,1),(26,1),(27,1)}
        15:{2,3,6}:{(6,1),(8,1),(27,1),(28,1),(95,1),(97,1)}
        16:{1,5,7}:{(7,1),(11,1),(26,1),(29,1),(30,1)}
        17:{1,4,6}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(9,1),(13,1),(28,1),(30,1),(31,1),(32,1),(68,1),(98,1)}
        19:{1,2,4}:{(9,1),(31,1),(32,1),(67,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        21:{3,4,6}:{(10,1),(12,1),(34,1),(35,1),(39,1),(72,1),(74,1)}
        22:{2,6}:{(11,1),(29,1),(34,1)}
        23:{2,5}:{(12,1),(30,1),(35,1)}
        24:{2,4}:{(13,1),(31,1),(39,1)}
        25:{3,4,7}:{(14,1),(40,1),(41,1),(100,1),(101,1)}
        26:{2,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(17,1),(41,1),(42,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(18,1),(43,1),(44,1),(49,1),(81,1),(84,1)}
        29:{1,6}:{(16,1),(22,1),(42,1)}
        30:{1,5}:{(17,1),(23,1),(43,1)}
        31:{1,4}:{(18,1),(24,1),(44,1)}
        32:{1,3}:{(19,1),(49,1)}
        33:{4,5,7}:{(20,1),(50,1),(53,1),(87,1),(88,1)}
        34:{3,6}:{(20,1),(22,1),(50,1)}
        35:{3,5}:{(21,1),(23,1),(53,1)}
        36:{2,6,7}:{(22,1),(45,1),(51,1),(54,1)}
        37:{2,5,6}:{(22,1),(23,1),(46,1),(52,1),(54,1),(55,1)}
        38:{2,4,5}:{(23,1),(24,1),(47,1),(53,1),(55,1),(56,1),(84,1)}
        39:{3,4}:{(24,1),(56,1)}
        40:{3,5,7}:{(25,1),(26,1),(57,1),(58,1),(59,1)}
        41:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(63,1),(93,1),(95,1)}
        42:{2,6}:{(26,1),(29,1),(58,1)}
        43:{2,5}:{(27,1),(30,1),(59,1)}
        44:{2,4}:{(28,1),(31,1),(63,1)}
        45:{1,6,7}:{(29,1),(36,1),(60,1),(64,1)}
        46:{1,5,6}:{(29,1),(30,1),(37,1),(61,1),(64,1),(65,1)}
        47:{1,4,5}:{(30,1),(31,1),(38,1),(62,1),(65,1),(66,1),(98,1)}
        48:{1,3,4}:{(31,1),(32,1),(39,1),(63,1),(66,1),(67,1)}
        49:{2,3}:{(32,1),(67,1),(68,1)}
        50:{4,6}:{(33,1),(34,1),(70,1)}
        51:{3,6,7}:{(34,1),(36,1),(69,1),(71,1)}
        52:{3,5,6}:{(34,1),(35,1),(37,1),(70,1),(71,1),(72,1),(74,1)}
        53:{4,5}:{(35,1),(72,1)}
        54:{2,5,7}:{(36,1),(37,1),(64,1),(71,1),(73,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(72,1),(73,1),(74,1),(97,1)}
        56:{3,5}:{(38,1),(39,1),(74,1)}
        57:{4,5,7}:{(40,1),(75,1),(78,1),(99,1),(100,1)}
        58:{3,6}:{(40,1),(42,1),(75,1)}
        59:{3,5}:{(41,1),(43,1),(78,1)}
        60:{2,6,7}:{(42,1),(45,1),(76,1),(79,1)}
        61:{2,5,6}:{(42,1),(43,1),(46,1),(77,1),(79,1),(80,1)}
        62:{2,4,5}:{(43,1),(44,1),(47,1),(78,1),(80,1),(81,1),(84,1)}
        63:{3,4}:{(44,1),(81,1)}
        64:{1,5,7}:{(45,1),(46,1),(54,1),(79,1),(82,1)}
        65:{1,4,6}:{(46,1),(47,1),(55,1),(80,1),(82,1),(83,1),(103,1)}
        66:{1,3,5}:{(47,1),(48,1),(56,1),(81,1),(83,1),(84,1)}
        67:{2,4}:{(48,1),(49,1),(84,1),(85,1)}
        68:{1,3}:{(49,1),(85,1),(86,1)}
        69:{4,6,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{5,6}:{(50,1),(87,1)}
        71:{3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        72:{4,6}:{(52,1),(53,1),(88,1)}
        73:{2,4,7}:{(54,1),(55,1),(82,1),(88,1),(89,1),(102,1)}
        74:{3,6}:{(55,1),(56,1),(89,1)}
        75:{4,6}:{(57,1),(58,1),(91,1)}
        76:{3,6,7}:{(58,1),(60,1),(90,1),(92,1)}
        77:{3,5,6}:{(58,1),(59,1),(61,1),(91,1),(92,1),(93,1),(95,1)}
        78:{4,5}:{(59,1),(93,1)}
        79:{2,5,7}:{(60,1),(61,1),(64,1),(92,1),(94,1)}
        80:{2,4,6}:{(61,1),(62,1),(65,1),(93,1),(94,1),(95,1),(97,1)}
        81:{3,5}:{(62,1),(63,1),(95,1)}
        82:{1,4,7}:{(64,1),(65,1),(73,1),(94,1),(96,1),(104,1)}
        83:{1,3,6}:{(65,1),(66,1),(74,1),(95,1),(96,1),(97,1)}
        84:{2,5}:{(66,1),(67,1),(97,1),(98,1)}
        85:{1,4}:{(67,1),(68,1),(98,1)}
        86:{1,2}:{(68,1)}
        87:{5,7}:{(69,1),(70,1)}
        88:{4,7}:{(71,1),(72,1)}
        89:{3,7}:{(73,1),(74,1)}
        90:{4,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{5,6}:{(75,1),(99,1)}
        92:{3,5,7}:{(76,1),(77,1),(79,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(77,1),(78,1),(100,1)}
        94:{2,4,7}:{(79,1),(80,1),(82,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(80,1),(81,1),(101,1)}
        96:{1,3,7}:{(82,1),(83,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(83,1),(84,1),(102,1),(103,1)}
        98:{1,5}:{(84,1),(85,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 240 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(31,1),(34,1),(59,1),(64,1),(78,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(78,1),(114,1),(121,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(11,1),(36,1),(40,1),(46,1),(56,1),(90,1),(92,1),(93,1),(95,1),(101,1),(127,1),(130,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(11,1),(12,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(12,1),(14,1),(85,1)}
         5:{2,4,7}:{(1,1),(10,1),(11,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(12,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(27,1),(63,1),(64,1),(79,1),(108,1),(113,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(22,1),(66,1),(80,1),(114,1),(121,1),(143,1),(146,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(22,1),(24,1),(28,1),(60,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(121,1),(150,1),(171,1)}
        11:{2,5,7}:{(3,1),(5,1),(27,1),(28,1),(33,1),(163,1),(164,1)}
        12:{1,3,6}:{(3,1),(4,1),(22,1),(28,1)}
        13:{1,4,6,7}:{(4,1),(23,1),(29,1),(31,1),(78,1),(109,1),(144,1)}
        14:{1,5,6}:{(4,1),(24,1),(31,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(27,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(28,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(36,1),(37,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(37,1),(39,1),(50,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(95,1),(98,1),(154,1),(158,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(11,1),(36,1),(40,1),(42,1),(43,1),(49,1),(81,1),(92,1),(125,1)}
        22:{3,6}:{(8,1),(9,1)}
        23:{2,4,6,7}:{(9,1),(13,1),(38,1),(44,1),(46,1),(51,1),(86,1),(95,1),(101,1),(130,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(45,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,5,7}:{(11,1),(15,1),(50,1),(55,1),(169,1),(170,1)}
        28:{2,6}:{(11,1),(12,1),(50,1)}
        29:{1,3,6,7}:{(12,1),(13,1),(44,1),(51,1),(53,1),(156,1)}
        30:{1,3,5,6}:{(12,1),(14,1),(17,1),(45,1),(52,1),(53,1),(54,1),(102,1)}
        31:{1,5,7}:{(13,1),(14,1),(46,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(113,1),(114,1),(118,1),(146,1)}
        36:{2,5,7}:{(18,1),(57,1),(59,1),(60,1),(107,1),(122,1),(150,1)}
        37:{1,3,6}:{(18,1),(19,1),(22,1),(60,1)}
        38:{1,4,6,7}:{(19,1),(23,1),(61,1),(63,1),(74,1),(113,1),(119,1)}
        39:{1,5,6}:{(19,1),(24,1),(63,1),(116,1)}
        40:{2,4,7}:{(20,1),(21,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(22,1),(65,1),(66,1),(70,1)}
        42:{1,3,5,7}:{(21,1),(25,1),(27,1),(59,1),(64,1),(67,1),(68,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        43:{2,3,6}:{(21,1),(22,1),(28,1),(60,1),(65,1),(68,1)}
        44:{3,6,7}:{(22,1),(23,1),(69,1),(121,1),(146,1)}
        45:{3,5,6}:{(22,1),(24,1),(66,1),(69,1),(70,1),(147,1)}
        46:{2,5,7}:{(23,1),(24,1),(31,1),(63,1),(69,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{1,6}:{(27,1),(28,1)}
        51:{2,6,7}:{(28,1),(29,1),(74,1),(76,1),(164,1)}
        52:{2,5,6}:{(28,1),(30,1),(33,1),(75,1),(76,1),(77,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(69,1),(76,1),(78,1),(121,1)}
        54:{1,4,6}:{(30,1),(34,1),(70,1),(77,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(77,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(36,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(37,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,5,7}:{(36,1),(82,1),(85,1),(126,1),(138,1),(160,1)}
        60:{2,6}:{(36,1),(37,1),(85,1)}
        61:{1,3,6,7}:{(37,1),(38,1),(44,1),(86,1),(88,1),(136,1)}
        62:{1,3,5,6}:{(37,1),(39,1),(45,1),(84,1),(87,1),(88,1),(89,1),(131,1)}
        63:{1,5,7}:{(38,1),(39,1),(46,1)}
        64:{1,4,7}:{(40,1),(42,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(43,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{2,5,7}:{(42,1),(47,1),(90,1),(94,1),(96,1),(123,1),(133,1),(152,1)}
        68:{1,3,6}:{(42,1),(43,1),(50,1),(85,1),(91,1),(94,1),(132,1)}
        69:{3,5,7}:{(44,1),(45,1),(46,1),(95,1)}
        70:{4,6}:{(45,1),(93,1),(95,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(51,1),(99,1),(170,1)}
        75:{1,5,6}:{(50,1),(52,1),(55,1),(99,1),(100,1)}
        76:{2,5,7}:{(51,1),(52,1),(53,1),(99,1),(101,1)}
        77:{2,4,6}:{(52,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        78:{1,4,7}:{(53,1),(54,1),(95,1),(101,1),(160,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(100,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(146,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(59,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(60,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{1,6}:{(59,1),(60,1)}
        86:{2,6,7}:{(60,1),(61,1),(109,1),(111,1),(150,1)}
        87:{2,5,6}:{(60,1),(62,1),(107,1),(110,1),(111,1),(112,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(63,1),(69,1),(111,1),(113,1),(146,1)}
        89:{1,4,6}:{(62,1),(70,1),(108,1),(112,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(67,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(68,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{2,6}:{(67,1),(68,1)}
        95:{4,7}:{(69,1),(70,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(76,1),(119,1)}
       100:{1,4,6}:{(75,1),(77,1),(79,1),(119,1),(120,1)}
       101:{2,4,7}:{(76,1),(77,1),(78,1),(119,1),(121,1),(150,1)}
       102:{3,6}:{(77,1),(80,1),(121,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(120,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(85,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(86,1),(128,1),(160,1)}
       110:{1,5,6}:{(85,1),(87,1),(126,1),(128,1),(129,1)}
       111:{2,5,7}:{(86,1),(87,1),(88,1),(128,1),(130,1)}
       112:{2,4,6}:{(87,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       113:{1,4,7}:{(88,1),(89,1),(95,1),(130,1),(170,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(94,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{1,3,6}:{(100,1),(102,1),(103,1),(136,1),(137,1)}
       121:{3,7}:{(101,1),(102,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(112,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(111,1),(144,1)}
       129:{1,4,6}:{(110,1),(112,1),(142,1),(144,1),(145,1)}
       130:{2,4,7}:{(111,1),(112,1),(113,1),(144,1),(146,1),(164,1)}
       131:{3,6}:{(112,1),(143,1),(146,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(120,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(129,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{1,3,6}:{(129,1),(131,1),(155,1),(156,1),(157,1)}
       146:{3,7}:{(130,1),(131,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(145,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(145,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 241 :   0:{1,5,6}:{(3,1),(5,1),(6,1),(80,1),(96,1)}
         1:{1,4,5}:{(4,1),(5,1),(7,1),(54,1),(60,1),(80,1)}
         2:{1,3,4}:{(7,1),(8,1),(26,1),(31,1),(60,1),(86,1)}
         3:{2,5,6}:{(0,1),(9,1),(11,1),(12,1),(13,1),(69,1),(89,1),(91,1),(100,1)}
         4:{2,4,5}:{(1,1),(10,1),(12,1),(14,1),(19,1),(39,1),(40,1),(44,1),(69,1),(75,1),(89,1),(98,1)}
         5:{1,4,6}:{(0,1),(1,1),(12,1),(16,1),(17,1),(67,1)}
         6:{1,5,7}:{(0,1),(13,1),(17,1),(18,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(19,1)}
         8:{2,4}:{(2,1),(15,1),(19,1),(20,1),(48,1)}
         9:{1,5,6}:{(3,1),(21,1),(22,1),(80,1),(96,1)}
        10:{1,4,5}:{(4,1),(21,1),(23,1),(34,1),(60,1),(80,1)}
        11:{3,5,6}:{(3,1),(24,1),(25,1),(27,1),(55,1),(82,1),(83,1),(94,1),(102,1),(104,1)}
        12:{2,4,6}:{(3,1),(4,1),(5,1),(21,1),(24,1),(27,1),(28,1),(32,1),(52,1)}
        13:{2,5,7}:{(3,1),(6,1),(22,1),(25,1),(28,1),(29,1)}
        14:{3,5}:{(4,1),(26,1),(27,1),(86,1)}
        15:{2,3}:{(8,1),(31,1),(86,1)}
        16:{1,3,6}:{(5,1),(7,1),(27,1),(32,1),(33,1)}
        17:{1,4,7}:{(5,1),(6,1),(28,1),(33,1),(79,1)}
        18:{1,6,7}:{(6,1),(29,1),(96,1)}
        19:{2,5}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,4}:{(8,1),(31,1),(34,1)}
        21:{1,4,6}:{(9,1),(10,1),(12,1),(36,1),(37,1),(49,1)}
        22:{1,5,7}:{(9,1),(13,1),(37,1),(38,1)}
        23:{1,3,5}:{(10,1),(14,1),(35,1),(36,1),(39,1)}
        24:{4,6}:{(11,1),(40,1),(42,1),(98,1)}
        25:{3,5,7}:{(11,1),(13,1),(42,1),(43,1),(46,1),(74,1)}
        26:{3,4}:{(14,1),(44,1),(98,1)}
        27:{3,6}:{(12,1),(14,1),(46,1)}
        28:{2,4,7}:{(12,1),(13,1),(17,1),(37,1),(42,1),(46,1),(50,1),(68,1)}
        29:{2,6,7}:{(13,1),(18,1),(38,1),(43,1),(91,1),(100,1)}
        30:{2,3,5}:{(14,1),(15,1),(19,1),(39,1),(44,1),(45,1),(47,1),(65,1),(69,1)}
        31:{1,3}:{(15,1),(20,1),(48,1)}
        32:{2,6}:{(16,1),(19,1),(49,1),(50,1)}
        33:{1,3,7}:{(16,1),(17,1),(46,1),(50,1)}
        34:{1,5}:{(19,1),(20,1),(49,1)}
        35:{1,3,4}:{(23,1),(26,1),(51,1),(60,1),(78,1),(86,1)}
        36:{1,3,6}:{(21,1),(23,1),(27,1),(52,1),(53,1)}
        37:{1,4,7}:{(21,1),(22,1),(28,1),(53,1),(64,1)}
        38:{1,6,7}:{(22,1),(29,1),(96,1)}
        39:{2,5}:{(23,1),(51,1),(52,1),(54,1)}
        40:{4,5}:{(24,1),(55,1),(104,1)}
        41:{3,4,6}:{(24,1),(26,1),(27,1),(55,1),(57,1),(58,1),(82,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(29,1),(59,1),(82,1),(102,1)}
        44:{2,4}:{(26,1),(30,1),(60,1)}
        45:{2,3,6}:{(27,1),(30,1),(32,1),(52,1),(57,1),(61,1),(62,1)}
        46:{3,7}:{(27,1),(28,1)}
        47:{1,3,5}:{(30,1),(31,1),(34,1),(54,1),(60,1),(61,1),(63,1),(78,1),(80,1),(86,1),(94,1)}
        48:{2}:{(31,1)}
        49:{1,6}:{(32,1),(34,1),(64,1)}
        50:{2,7}:{(32,1),(33,1),(64,1)}
        51:{2,4}:{(35,1),(39,1),(65,1),(66,1),(88,1)}
        52:{2,6}:{(36,1),(39,1),(67,1),(68,1)}
        53:{1,3,7}:{(36,1),(37,1),(46,1),(68,1)}
        54:{1,5}:{(39,1),(66,1),(67,1)}
        55:{3,5}:{(40,1),(41,1),(69,1)}
        56:{4,5,7}:{(40,1),(42,1),(70,1),(71,1),(74,1)}
        57:{2,4,6}:{(41,1),(44,1),(45,1),(69,1),(72,1),(73,1),(91,1)}
        58:{3,4,7}:{(41,1),(42,1),(46,1),(70,1),(73,1)}
        59:{4,6,7}:{(42,1),(43,1),(71,1),(74,1),(103,1)}
        60:{1,4}:{(44,1),(47,1),(75,1),(98,1)}
        61:{1,3,6}:{(45,1),(47,1),(49,1),(67,1),(72,1),(76,1),(77,1),(92,1)}
        62:{2,3,7}:{(45,1),(46,1),(50,1),(68,1),(73,1),(77,1)}
        63:{2,5}:{(47,1),(48,1),(75,1),(76,1),(88,1)}
        64:{1,7}:{(49,1),(50,1)}
        65:{2,3}:{(51,1),(78,1),(86,1)}
        66:{1,4}:{(51,1),(54,1),(78,1)}
        67:{1,6}:{(52,1),(54,1),(79,1)}
        68:{2,7}:{(52,1),(53,1),(79,1)}
        69:{2,5}:{(55,1),(57,1),(80,1)}
        70:{3,5,7}:{(55,1),(56,1),(58,1),(81,1),(82,1)}
        71:{4,6}:{(56,1),(82,1),(83,1)}
        72:{1,4,6}:{(57,1),(60,1),(61,1),(80,1),(84,1),(85,1),(96,1)}
        73:{2,4,7}:{(57,1),(58,1),(62,1),(81,1),(85,1)}
        74:{5,7}:{(59,1),(83,1),(104,1)}
        75:{2,4}:{(60,1),(63,1),(86,1)}
        76:{2,6}:{(61,1),(63,1),(87,1)}
        77:{1,3,7}:{(61,1),(62,1),(64,1),(79,1),(85,1),(87,1),(97,1)}
        78:{1,3}:{(65,1),(66,1),(88,1)}
        79:{1,7}:{(67,1),(68,1)}
        80:{1,5}:{(69,1),(72,1),(89,1)}
        81:{2,5,7}:{(69,1),(70,1),(73,1),(90,1),(91,1)}
        82:{3,6}:{(70,1),(71,1),(91,1)}
        83:{5,6}:{(71,1),(74,1)}
        84:{2,4,6}:{(72,1),(75,1),(76,1),(89,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        85:{1,4,7}:{(72,1),(73,1),(77,1),(90,1),(93,1)}
        86:{3}:{(75,1)}
        87:{2,7}:{(76,1),(77,1)}
        88:{2}:{(78,1)}
        89:{2,5}:{(80,1),(84,1),(94,1),(104,1)}
        90:{1,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1)}
        91:{2,6}:{(81,1),(82,1),(96,1)}
        92:{3,6}:{(84,1),(86,1),(94,1),(97,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(101,1)}
        94:{3,5}:{(89,1),(92,1),(98,1)}
        95:{2,5,7}:{(89,1),(90,1),(93,1),(99,1),(100,1)}
        96:{1,6}:{(90,1),(91,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{4}:{(94,1)}
        99:{3,5,7}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 242 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 243 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 244 :  0:{1,2}:{(2,1)}
        1:{2,3}:{(2,1),(3,1)}
        2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
        3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
        4:{2,3}:{(2,1),(8,1)}
        5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
        6:{3,4}:{(3,1),(10,1)}
        7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
        8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
       10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
       11:{2,6}:{(7,1),(14,1),(16,1),(17,1)}
       12:{3,4}:{(8,1),(18,1)}
       13:{2,5}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,6}:{(9,1),(11,1),(19,1),(20,1)}
       15:{4,5}:{(10,1),(21,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(20,1),(22,1)}
       18:{3,5}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,7}:{(14,1),(17,1),(25,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,7}:{(16,1),(17,1),(27,1)}
       23:{4,5}:{(18,1),(28,1)}
       24:{3,6}:{(18,1),(19,1),(28,1),(29,1)}
       25:{2,7}:{(19,1),(20,1),(29,1)}
       26:{5,6}:{(21,1),(30,1)}
       27:{4,7}:{(21,1),(22,1),(30,1)}
       28:{4,6}:{(23,1),(24,1),(31,1),(32,1)}
       29:{3,7}:{(24,1),(25,1),(32,1)}
       30:{5,7}:{(26,1),(27,1),(33,1)}
       31:{5,6}:{(28,1),(34,1)}
       32:{4,7}:{(28,1),(29,1),(34,1)}
       33:{6,7}:{(30,1)}
       34:{5,7}:{(31,1),(32,1),(35,1)}
       35:{6,7}:{(34,1)}

 245 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 246 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 247 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 248 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 249 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(17,1),(21,1),(42,1),(113,1),(136,1),(141,1),(216,1),(221,1),(230,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(31,1),(35,1),(77,1),(88,1),(92,1),(175,1),(190,1),(191,1),(197,1),(292,1)}
         2:{2,3,5}:{(0,1),(5,1),(8,1),(274,1),(281,1),(289,1)}
         3:{2,3,4,7}:{(0,1),(6,1),(9,1),(38,1),(73,1),(163,1),(198,1),(277,1),(293,1)}
         4:{2,4,6}:{(1,1),(11,1),(12,1),(13,1),(52,1),(58,1),(252,1),(260,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(15,1),(56,1),(234,1),(253,1),(348,1)}
         6:{1,3,4,7}:{(1,1),(3,1),(13,1),(16,1),(45,1),(61,1),(121,1),(137,1),(142,1),(261,1),(353,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(21,1),(65,1),(70,1),(141,1),(147,1)}
         8:{2,4,5}:{(2,1),(15,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(334,1),(349,1)}
        10:{1,2,4,6}:{(4,1),(22,1),(23,1),(24,1),(71,1),(77,1),(82,1),(175,1),(292,1),(295,1),(296,1)}
        11:{2,3,6}:{(4,1),(22,1),(26,1),(27,1),(92,1),(312,1)}
        12:{2,5}:{(4,1),(5,1)}
        13:{2,4,7}:{(4,1),(6,1),(27,1),(30,1),(321,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(28,1),(31,1),(32,1),(35,1),(92,1),(104,1),(197,1),(202,1),(203,1)}
        15:{1,4,5}:{(5,1),(8,1),(29,1),(31,1),(77,1),(313,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(9,1),(30,1),(34,1),(35,1),(96,1),(404,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(37,1),(38,1)}
        18:{2,3,5,7}:{(7,1),(32,1),(38,1),(39,1),(105,1),(108,1),(198,1),(204,1)}
        19:{3,4,5}:{(8,1),(37,1),(162,1),(274,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(34,1),(38,1),(40,1),(41,1),(108,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(35,1),(41,1),(391,1),(405,1)}
        22:{1,3,6}:{(10,1),(11,1),(42,1),(44,1),(45,1),(354,1)}
        23:{1,2,5}:{(10,1),(12,1),(44,1),(110,1),(234,1),(348,1)}
        24:{1,2,4,7}:{(10,1),(13,1),(45,1),(48,1),(111,1),(121,1),(353,1),(355,1)}
        25:{2,3,4,6}:{(11,1),(43,1),(49,1),(50,1),(52,1),(127,1),(131,1),(133,1),(138,1),(219,1),(230,1),(326,1)}
        26:{2,3,5}:{(11,1),(12,1),(44,1),(52,1),(56,1)}
        27:{2,3,7}:{(11,1),(13,1),(45,1),(142,1)}
        28:{2,5,6}:{(12,1),(14,1),(54,1),(55,1),(58,1),(260,1)}
        29:{2,4,5}:{(12,1),(15,1),(52,1),(54,1),(56,1)}
        30:{2,5,7}:{(12,1),(13,1),(16,1),(58,1)}
        31:{1,4,6}:{(14,1),(15,1),(17,1),(54,1),(61,1),(263,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(55,1),(61,1),(62,1),(142,1),(152,1),(261,1),(262,1),(264,1)}
        33:{1,3,4,5}:{(15,1),(19,1),(56,1),(60,1),(63,1),(120,1),(144,1),(228,1),(244,1),(360,1),(452,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(20,1),(57,1),(61,1),(64,1),(121,1),(152,1),(234,1)}
        35:{1,3,6}:{(16,1),(21,1),(58,1),(64,1),(145,1),(449,1)}
        36:{2,4,5,6}:{(17,1),(59,1),(65,1),(66,1),(70,1),(147,1),(156,1),(215,1),(335,1),(370,1),(512,1),(541,1)}
        37:{3,4,6}:{(17,1),(19,1),(65,1),(67,1),(541,1)}
        38:{2,4,7}:{(17,1),(18,1),(61,1),(67,1)}
        39:{2,3,6,7}:{(18,1),(21,1),(62,1),(68,1),(153,1),(265,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(67,1),(69,1),(155,1),(220,1),(334,1),(341,1),(444,1)}
        41:{2,4,6}:{(20,1),(21,1),(64,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(268,1),(396,1)}
        43:{1,3,4,6}:{(22,1),(25,1),(71,1),(74,1),(75,1),(77,1),(162,1),(165,1),(169,1),(175,1),(268,1),(279,1),(280,1),(292,1),(381,1)}
        44:{1,3,5}:{(22,1),(23,1),(26,1),(72,1),(77,1)}
        45:{1,3,7}:{(22,1),(24,1),(27,1),(73,1)}
        46:{1,2,5,6}:{(23,1),(28,1),(76,1),(79,1),(80,1),(82,1),(157,1),(203,1),(289,1),(296,1),(317,1),(398,1),(403,1),(405,1),(466,1),(484,1)}
        47:{1,2,4,5}:{(23,1),(29,1),(77,1),(79,1),(81,1),(103,1),(158,1),(170,1),(174,1),(201,1),(287,1),(289,1),(295,1),(385,1),(403,1),(410,1),(472,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(30,1),(78,1),(82,1),(159,1),(404,1)}
        49:{2,3,5}:{(25,1),(74,1),(84,1),(185,1),(192,1),(289,1)}
        50:{2,3,4,7}:{(25,1),(27,1),(75,1),(85,1),(89,1),(181,1),(188,1),(293,1),(382,1)}
        51:{2,3,5,6}:{(26,1),(28,1),(76,1),(86,1),(87,1),(90,1),(92,1),(176,1),(185,1),(192,1),(202,1),(289,1),(307,1),(308,1),(405,1),(466,1),(476,1),(515,1),(526,1),(545,1),(546,1)}
        52:{2,4}:{(26,1),(77,1),(88,1)}
        53:{2,3,5,7}:{(26,1),(27,1),(30,1),(78,1),(89,1),(90,1),(96,1),(192,1)}
        54:{2,4,6}:{(28,1),(29,1),(31,1),(92,1),(93,1)}
        55:{2,5,7}:{(28,1),(32,1),(93,1),(94,1),(321,1)}
        56:{3,5}:{(29,1),(88,1),(92,1)}
        57:{2,4,5,7}:{(29,1),(30,1),(34,1),(89,1),(93,1),(96,1),(97,1),(192,1),(200,1),(313,1),(322,1)}
        58:{2,6}:{(30,1),(35,1)}
        59:{1,4,5,6}:{(31,1),(36,1),(91,1),(98,1),(99,1),(104,1),(170,1),(203,1),(291,1),(314,1),(488,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(37,1),(92,1),(98,1),(100,1),(101,1),(193,1),(197,1),(314,1),(419,1)}
        61:{1,4,7}:{(31,1),(32,1),(38,1),(93,1),(322,1)}
        62:{1,3,6,7}:{(32,1),(35,1),(39,1),(94,1),(102,1),(199,1),(323,1)}
        63:{2,4,5}:{(33,1),(95,1),(100,1),(103,1),(174,1),(201,1),(289,1)}
        64:{1,4,6}:{(34,1),(35,1),(41,1),(97,1),(104,1)}
        65:{3,5,6}:{(36,1),(37,1),(105,1),(274,1),(391,1),(419,1)}
        66:{2,4,5,7}:{(36,1),(38,1),(99,1),(105,1),(106,1),(108,1),(204,1),(209,1),(420,1),(492,1),(531,1)}
        67:{3,4,7}:{(37,1),(38,1),(105,1),(531,1)}
        68:{2,4,6,7}:{(38,1),(39,1),(41,1),(102,1),(107,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(391,1),(479,1)}
        70:{2,5,6}:{(41,1),(104,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(43,1),(110,1),(111,1),(113,1),(214,1),(340,1),(431,1)}
        72:{2,3,5}:{(42,1),(44,1),(110,1),(113,1),(212,1)}
        73:{2,3,7}:{(42,1),(45,1),(111,1),(327,1)}
        74:{1,3,5}:{(43,1),(49,1),(110,1),(116,1),(212,1),(234,1),(341,1),(348,1)}
        75:{1,3,4,7}:{(43,1),(45,1),(50,1),(111,1),(117,1),(121,1),(220,1),(224,1),(327,1),(353,1),(432,1)}
        76:{1,3,5,6}:{(44,1),(46,1),(51,1),(112,1),(118,1),(119,1),(122,1),(123,1),(228,1),(234,1),(235,1),(348,1),(350,1),(351,1),(447,1),(449,1),(509,1),(539,1)}
        77:{1,4}:{(44,1),(52,1),(113,1)}
        78:{1,3,5,7}:{(44,1),(45,1),(48,1),(53,1),(114,1),(121,1),(122,1),(234,1)}
        79:{1,2,4,6}:{(46,1),(47,1),(54,1),(118,1),(123,1),(124,1),(150,1),(210,1),(230,1),(260,1),(345,1),(370,1),(431,1),(493,1)}
        80:{1,2,5,7}:{(46,1),(55,1),(119,1),(124,1),(125,1),(211,1),(264,1),(349,1),(355,1),(374,1),(445,1),(497,1)}
        81:{1,3,5}:{(47,1),(56,1),(120,1),(123,1),(126,1),(212,1),(354,1),(452,1),(500,1)}
        82:{1,2,6}:{(48,1),(58,1),(122,1),(214,1),(449,1)}
        83:{2,3,5,6}:{(49,1),(115,1),(127,1),(128,1),(131,1),(238,1),(243,1),(326,1),(342,1)}
        84:{2,4,5}:{(49,1),(52,1),(116,1),(127,1),(129,1)}
        85:{2,3,5,7}:{(49,1),(50,1),(117,1),(130,1),(131,1),(246,1),(349,1)}
        86:{2,4,6}:{(51,1),(52,1),(118,1),(132,1),(133,1),(134,1),(263,1),(505,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(55,1),(119,1),(134,1),(135,1),(142,1),(236,1),(246,1),(251,1),(262,1),(349,1),(497,1),(532,1),(548,1)}
        88:{3,4}:{(52,1),(56,1)}
        89:{2,4,7}:{(52,1),(53,1),(121,1),(137,1),(138,1)}
        90:{2,3,6}:{(53,1),(58,1),(122,1),(138,1),(145,1)}
        91:{2,4,5,6}:{(54,1),(59,1),(132,1),(139,1),(140,1),(146,1),(147,1),(247,1),(254,1),(263,1),(455,1),(456,1)}
        92:{3,6}:{(54,1),(56,1),(142,1)}
        93:{2,4,7}:{(54,1),(55,1),(61,1),(142,1)}
        94:{2,6,7}:{(55,1),(58,1),(62,1)}
        95:{2,3,5}:{(56,1),(63,1),(136,1),(141,1),(144,1),(452,1)}
        96:{3,5,7}:{(56,1),(57,1),(137,1),(142,1),(145,1),(253,1)}
        97:{2,4,6}:{(57,1),(58,1),(64,1),(145,1),(146,1),(263,1)}
        98:{1,3,5,6}:{(59,1),(60,1),(65,1),(139,1),(147,1),(148,1),(228,1),(350,1)}
        99:{1,4,5,7}:{(59,1),(61,1),(66,1),(140,1),(148,1),(149,1),(152,1),(264,1),(371,1),(462,1)}
       100:{2,4,6}:{(60,1),(63,1),(141,1),(147,1),(150,1),(151,1),(260,1)}
       101:{1,3,4,7}:{(60,1),(61,1),(67,1),(142,1),(148,1),(151,1),(255,1),(261,1),(371,1),(460,1)}
       102:{1,4,6,7}:{(61,1),(62,1),(64,1),(68,1),(143,1),(152,1)}
       103:{1,4,5}:{(63,1),(144,1),(150,1),(233,1),(348,1)}
       104:{1,5,6}:{(64,1),(70,1),(146,1),(152,1),(234,1)}
       105:{3,5,7}:{(65,1),(66,1),(67,1),(153,1),(460,1)}
       106:{2,4,6,7}:{(66,1),(149,1),(153,1),(154,1),(265,1),(266,1),(335,1)}
       107:{3,4,6,7}:{(67,1),(68,1),(69,1),(153,1),(155,1),(266,1)}
       108:{2,5,7}:{(68,1),(70,1),(152,1),(155,1)}
       109:{3,5,6}:{(69,1),(70,1),(155,1),(156,1),(341,1)}
       110:{2,5}:{(71,1),(74,1)}
       111:{2,4,7}:{(71,1),(73,1),(75,1),(159,1),(470,1)}
       112:{2,3,5,6}:{(72,1),(76,1),(157,1),(160,1),(161,1),(164,1),(176,1),(268,1),(274,1),(281,1),(289,1),(317,1),(386,1),(391,1),(392,1),(405,1),(414,1),(419,1),(490,1),(529,1),(530,1)}
       113:{2,4}:{(72,1),(77,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(78,1),(159,1),(163,1),(164,1),(272,1),(281,1)}
       115:{1,3,5,6}:{(74,1),(83,1),(157,1),(165,1),(166,1),(169,1),(268,1),(288,1),(381,1),(386,1),(398,1)}
       116:{1,4,5}:{(74,1),(77,1),(84,1),(158,1),(165,1),(397,1)}
       117:{1,3,5,7}:{(74,1),(75,1),(85,1),(159,1),(168,1),(169,1),(272,1),(404,1)}
       118:{1,4,6}:{(76,1),(77,1),(86,1),(160,1),(170,1),(172,1),(482,1)}
       119:{1,3,5,7}:{(76,1),(80,1),(87,1),(161,1),(172,1),(173,1),(177,1),(294,1),(297,1),(404,1)}
       120:{1,3,4}:{(77,1),(81,1),(88,1),(162,1),(174,1),(482,1),(485,1),(521,1)}
       121:{1,4,7}:{(77,1),(78,1),(89,1),(163,1),(175,1)}
       122:{1,3,6}:{(78,1),(82,1),(90,1),(164,1),(175,1)}
       123:{1,3,6}:{(79,1),(81,1),(92,1),(176,1),(177,1),(268,1),(419,1),(515,1)}
       124:{1,2,4,7}:{(79,1),(80,1),(93,1),(172,1),(177,1),(207,1),(269,1),(293,1),(321,1),(402,1),(420,1),(470,1),(516,1)}
       125:{1,2,6,7}:{(80,1),(82,1),(94,1),(173,1),(270,1),(323,1),(405,1),(424,1),(481,1),(484,1),(520,1)}
       126:{2,3,5}:{(81,1),(174,1),(176,1),(178,1),(201,1),(289,1),(312,1),(385,1),(396,1)}
       127:{2,4,6}:{(83,1),(84,1),(165,1),(180,1),(181,1)}
       128:{2,3,5,7}:{(83,1),(166,1),(181,1),(182,1),(298,1),(301,1),(382,1),(399,1)}
       129:{3,4,5}:{(84,1),(88,1),(180,1),(185,1),(552,1)}
       130:{2,4,5,7}:{(84,1),(85,1),(89,1),(168,1),(181,1),(183,1),(184,1),(192,1),(301,1)}
       131:{2,3,6}:{(85,1),(169,1),(184,1),(307,1),(405,1)}
       132:{2,4,5}:{(86,1),(170,1),(185,1),(192,1),(289,1),(313,1),(546,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(92,1),(185,1),(188,1),(307,1),(515,1),(521,1)}
       134:{2,4,7}:{(86,1),(87,1),(172,1),(188,1),(322,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(94,1),(173,1),(189,1),(199,1),(307,1),(405,1),(520,1),(526,1),(542,1)}
       136:{2,3,4}:{(88,1),(95,1),(174,1),(190,1),(396,1),(485,1)}
       137:{3,4,7}:{(88,1),(89,1),(96,1),(191,1),(322,1)}
       138:{2,4,6}:{(89,1),(90,1),(175,1),(191,1),(192,1)}
       139:{3,5,6}:{(91,1),(92,1),(185,1),(193,1),(195,1),(307,1)}
       140:{2,4,5,7}:{(91,1),(93,1),(99,1),(195,1),(196,1),(200,1),(204,1),(315,1),(322,1),(422,1),(423,1)}
       141:{2,3,6}:{(92,1),(95,1),(100,1),(197,1),(198,1),(419,1)}
       142:{3,7}:{(92,1),(93,1)}
       143:{2,4,6,7}:{(93,1),(94,1),(97,1),(102,1),(199,1),(200,1),(322,1)}
       144:{1,3,5}:{(95,1),(103,1),(190,1),(197,1),(201,1)}
       145:{3,6}:{(96,1),(97,1)}
       146:{2,5,6}:{(97,1),(104,1),(192,1),(200,1),(202,1)}
       147:{2,5,6}:{(98,1),(100,1),(203,1),(204,1),(289,1),(405,1)}
       148:{1,3,5,7}:{(98,1),(99,1),(101,1),(105,1),(195,1),(204,1),(205,1)}
       149:{1,4,6,7}:{(99,1),(106,1),(196,1),(205,1),(206,1),(291,1),(323,1)}
       150:{1,4,6}:{(100,1),(103,1),(197,1),(203,1),(207,1)}
       151:{2,4,7}:{(100,1),(101,1),(198,1),(204,1),(207,1),(321,1)}
       152:{1,5,7}:{(102,1),(104,1),(108,1),(200,1)}
       153:{3,6,7}:{(105,1),(106,1),(391,1)}
       154:{2,5,6,7}:{(106,1),(108,1),(206,1),(208,1),(392,1),(492,1)}
       155:{3,5,7}:{(107,1),(108,1),(109,1),(209,1)}
       156:{4,5,6}:{(109,1),(209,1),(397,1),(479,1)}
       157:{2,5,6}:{(110,1),(115,1),(210,1),(211,1),(214,1),(431,1)}
       158:{2,4,5}:{(110,1),(113,1),(116,1),(210,1),(212,1)}
       159:{2,5,7}:{(110,1),(111,1),(117,1),(214,1)}
       160:{2,4,6}:{(112,1),(113,1),(118,1),(215,1),(216,1),(217,1),(434,1),(457,1),(541,1)}
       161:{2,3,5,7}:{(112,1),(119,1),(211,1),(217,1),(218,1),(236,1),(327,1),(334,1),(339,1),(349,1),(374,1),(433,1),(460,1),(514,1)}
       162:{3,4}:{(113,1),(212,1)}
       163:{2,4,7}:{(113,1),(114,1),(121,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(122,1),(214,1),(221,1),(330,1)}
       165:{1,4,6}:{(115,1),(116,1),(127,1),(210,1),(224,1),(434,1)}
       166:{1,3,5,7}:{(115,1),(128,1),(211,1),(224,1),(225,1),(327,1),(347,1),(432,1),(433,1),(445,1)}
       167:{1,3,4,5}:{(116,1),(120,1),(129,1),(212,1),(223,1),(226,1),(228,1),(329,1),(332,1),(435,1),(500,1)}
       168:{1,4,5,7}:{(116,1),(117,1),(121,1),(130,1),(213,1),(224,1),(227,1),(234,1),(347,1)}
       169:{1,3,6}:{(117,1),(131,1),(214,1),(227,1),(330,1),(449,1)}
       170:{1,4,5}:{(118,1),(132,1),(215,1),(228,1),(234,1),(348,1),(539,1)}
       171:{1,3,4,6}:{(118,1),(120,1),(123,1),(133,1),(216,1),(228,1),(230,1),(231,1),(350,1)}
       172:{1,4,7}:{(118,1),(119,1),(134,1),(217,1)}
       173:{1,3,6,7}:{(119,1),(122,1),(125,1),(135,1),(218,1),(232,1),(350,1),(449,1),(509,1)}
       174:{2,4}:{(120,1),(126,1),(233,1)}
       175:{1,4,6}:{(121,1),(122,1),(138,1),(221,1),(234,1)}
       176:{2,3,6}:{(123,1),(126,1),(230,1),(235,1),(236,1),(260,1),(431,1)}
       177:{1,3,7}:{(123,1),(124,1),(142,1),(236,1),(327,1),(460,1),(532,1)}
       178:{1,3,5}:{(126,1),(233,1),(235,1),(237,1),(348,1),(354,1)}
       179:{2,4,5,6}:{(127,1),(132,1),(222,1),(238,1),(239,1),(243,1),(247,1),(342,1),(359,1),(493,1),(537,1),(550,1)}
       180:{3,4,6}:{(127,1),(129,1),(238,1),(240,1),(550,1)}
       181:{2,4,7}:{(127,1),(128,1),(224,1),(240,1)}
       182:{2,3,6,7}:{(128,1),(131,1),(225,1),(241,1),(356,1),(446,1)}
       183:{3,4,5,7}:{(129,1),(130,1),(137,1),(240,1),(242,1),(246,1),(253,1),(358,1),(369,1)}
       184:{2,4,6}:{(130,1),(131,1),(227,1),(242,1),(243,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(229,1),(246,1),(247,1),(251,1),(349,1),(369,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(141,1),(230,1),(245,1),(248,1),(249,1),(254,1),(365,1),(442,1),(505,1),(538,1)}
       188:{3,4,7}:{(133,1),(134,1),(142,1),(246,1),(532,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(138,1),(232,1),(247,1),(250,1),(251,1),(538,1)}
       190:{1,3,4}:{(136,1),(144,1),(233,1),(252,1),(354,1)}
       191:{3,4,6}:{(137,1),(138,1),(145,1),(253,1),(263,1)}
       192:{2,5}:{(138,1),(234,1),(253,1)}
       193:{3,4,6}:{(139,1),(244,1),(254,1),(255,1),(263,1)}
       194:{2,3,5,6}:{(139,1),(141,1),(147,1),(245,1),(254,1),(256,1),(257,1),(365,1),(455,1)}
       195:{3,5,7}:{(139,1),(140,1),(142,1),(255,1),(258,1)}
       196:{2,4,6,7}:{(140,1),(149,1),(247,1),(258,1),(259,1),(265,1),(376,1)}
       197:{1,3,6}:{(141,1),(144,1),(150,1),(260,1),(261,1)}
       198:{2,3,7}:{(141,1),(142,1),(151,1),(261,1),(460,1)}
       199:{3,6,7}:{(142,1),(143,1),(145,1),(262,1)}
       200:{2,5,7}:{(143,1),(146,1),(152,1),(262,1)}
       201:{2,5}:{(144,1),(252,1),(260,1)}
       202:{3,5,6}:{(145,1),(146,1),(253,1),(262,1),(263,1)}
       203:{1,5,6}:{(147,1),(150,1),(264,1),(348,1),(449,1)}
       204:{2,5,7}:{(147,1),(148,1),(151,1),(264,1),(265,1)}
       205:{1,3,6,7}:{(148,1),(149,1),(153,1),(258,1),(265,1),(350,1)}
       206:{1,5,6,7}:{(149,1),(152,1),(154,1),(259,1),(351,1),(462,1)}
       207:{1,4,7}:{(150,1),(151,1),(261,1),(264,1)}
       208:{3,5,6,7}:{(153,1),(154,1),(155,1),(266,1),(441,1),(514,1)}
       209:{4,5,7}:{(155,1),(156,1),(266,1)}
       210:{2,4,6}:{(157,1),(158,1),(165,1),(268,1),(269,1)}
       211:{2,5,7}:{(157,1),(166,1),(269,1),(270,1),(470,1)}
       212:{3,5}:{(158,1),(162,1),(268,1)}
       213:{2,4,5,7}:{(158,1),(159,1),(163,1),(168,1),(269,1),(272,1),(273,1),(281,1),(384,1),(397,1),(471,1)}
       214:{2,6}:{(159,1),(169,1)}
       215:{2,4,5}:{(160,1),(170,1),(274,1),(281,1),(289,1),(397,1),(530,1),(547,1)}
       216:{3,4,6}:{(160,1),(162,1),(268,1),(274,1),(277,1),(391,1),(419,1),(485,1)}
       217:{2,4,7}:{(160,1),(161,1),(172,1),(277,1),(471,1),(531,1)}
       218:{2,3,6,7}:{(161,1),(164,1),(173,1),(270,1),(278,1),(383,1),(391,1),(405,1),(424,1),(490,1),(491,1)}
       219:{2,3,4}:{(162,1),(174,1),(271,1),(279,1),(312,1),(521,1)}
       220:{3,4,7}:{(162,1),(163,1),(272,1),(280,1),(471,1)}
       221:{2,4,6}:{(163,1),(164,1),(175,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(170,1),(179,1),(267,1),(282,1),(283,1),(288,1),(291,1),(398,1),(463,1),(524,1)}
       223:{1,3,4,6}:{(165,1),(167,1),(180,1),(268,1),(282,1),(284,1),(285,1),(377,1),(381,1),(463,1),(515,1)}
       224:{1,4,7}:{(165,1),(166,1),(181,1),(269,1),(471,1)}
       225:{1,3,6,7}:{(166,1),(169,1),(182,1),(270,1),(286,1),(383,1),(481,1)}
       226:{2,4,5}:{(167,1),(174,1),(271,1),(284,1),(287,1),(289,1),(385,1)}
       227:{1,4,6}:{(168,1),(169,1),(184,1),(273,1),(288,1)}
       228:{1,3,5}:{(170,1),(171,1),(185,1),(274,1),(289,1)}
       229:{1,4,5,7}:{(170,1),(172,1),(186,1),(275,1),(290,1),(291,1),(294,1),(404,1)}
       230:{2,4,6}:{(171,1),(174,1),(176,1),(289,1),(292,1),(293,1),(405,1)}
       231:{1,3,4,7}:{(171,1),(172,1),(177,1),(188,1),(277,1),(290,1),(293,1)}
       232:{1,4,6,7}:{(172,1),(173,1),(175,1),(189,1),(278,1),(291,1),(294,1),(527,1)}
       233:{1,4}:{(174,1),(178,1)}
       234:{1,5}:{(175,1),(192,1),(281,1)}
       235:{1,3,6}:{(176,1),(178,1),(292,1),(296,1),(297,1)}
       236:{2,3,7}:{(176,1),(177,1),(293,1),(297,1),(321,1),(470,1)}
       237:{1,2,5}:{(178,1),(201,1),(295,1),(296,1),(385,1)}
       238:{3,5,6}:{(179,1),(180,1),(185,1),(298,1),(307,1),(515,1)}
       239:{2,4,5,7}:{(179,1),(181,1),(283,1),(298,1),(299,1),(301,1),(399,1),(409,1),(516,1),(543,1),(551,1)}
       240:{3,4,7}:{(180,1),(181,1),(298,1),(551,1)}
       241:{2,4,6,7}:{(181,1),(182,1),(184,1),(286,1),(300,1),(301,1)}
       242:{3,4,6}:{(183,1),(184,1),(302,1),(307,1),(417,1)}
       243:{2,5,6}:{(184,1),(192,1),(288,1),(301,1),(302,1)}
       244:{3,4,5}:{(185,1),(193,1),(303,1),(313,1),(521,1)}
       245:{2,3,5}:{(185,1),(187,1),(289,1),(303,1),(305,1),(546,1)}
       246:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       247:{2,4,6}:{(186,1),(291,1),(307,1),(308,1),(405,1),(417,1)}
       248:{1,3,4,6}:{(187,1),(190,1),(197,1),(292,1),(305,1),(309,1),(310,1),(314,1),(406,1),(416,1),(419,1),(482,1),(485,1),(527,1),(528,1)}
       249:{2,3,4,7}:{(187,1),(188,1),(198,1),(293,1),(306,1),(310,1),(315,1),(480,1),(525,1)}
       250:{3,4,6,7}:{(188,1),(189,1),(191,1),(199,1),(307,1),(311,1),(322,1),(417,1),(542,1),(544,1),(551,1)}
       251:{2,5,7}:{(189,1),(192,1),(294,1),(308,1),(311,1),(546,1)}
       252:{2,4}:{(190,1),(201,1),(312,1)}
       253:{3,5}:{(191,1),(192,1),(313,1)}
       254:{2,4,6}:{(193,1),(194,1),(303,1),(314,1),(315,1)}
       255:{3,4,7}:{(193,1),(195,1),(315,1),(322,1)}
       256:{1,3,5,6}:{(194,1),(197,1),(203,1),(305,1),(314,1),(317,1),(318,1),(416,1),(419,1),(488,1),(529,1)}
       257:{2,3,5,7}:{(194,1),(195,1),(198,1),(204,1),(315,1),(318,1),(319,1),(422,1)}
       258:{3,6,7}:{(195,1),(196,1),(307,1)}
       259:{2,5,6,7}:{(196,1),(200,1),(206,1),(308,1),(320,1),(422,1)}
       260:{2,6}:{(197,1),(201,1),(321,1)}
       261:{1,3,7}:{(197,1),(198,1),(207,1),(321,1)}
       262:{3,5,7}:{(199,1),(200,1),(202,1),(322,1)}
       263:{4,6}:{(202,1),(313,1),(322,1)}
       264:{1,5,7}:{(203,1),(204,1),(207,1),(323,1)}
       265:{2,6,7}:{(204,1),(205,1),(323,1),(405,1)}
       266:{4,6,7}:{(208,1),(209,1),(479,1),(531,1)}
       267:{2,4,5,6}:{(210,1),(215,1),(222,1),(324,1),(325,1),(331,1),(335,1),(342,1),(425,1),(434,1),(503,1),(504,1)}
       268:{3,6}:{(210,1),(212,1),(327,1)}
       269:{2,4,7}:{(210,1),(211,1),(224,1),(327,1)}
       270:{2,6,7}:{(211,1),(214,1),(225,1)}
       271:{2,3,5}:{(212,1),(219,1),(226,1),(326,1),(329,1),(500,1)}
       272:{3,5,7}:{(212,1),(213,1),(220,1),(327,1),(330,1),(341,1)}
       273:{2,4,6}:{(213,1),(214,1),(227,1),(330,1),(331,1),(434,1)}
       274:{3,5}:{(215,1),(216,1)}
       275:{2,4,5,7}:{(215,1),(217,1),(229,1),(334,1),(335,1),(339,1),(349,1),(444,1)}
       276:{2,3,4,6}:{(216,1),(219,1),(230,1),(326,1),(333,1),(336,1),(337,1),(367,1),(425,1),(440,1),(457,1),(513,1)}
       277:{3,4,7}:{(216,1),(217,1),(327,1),(334,1),(460,1)}
       278:{2,4,6,7}:{(217,1),(218,1),(221,1),(232,1),(335,1),(338,1),(339,1),(513,1)}
       279:{1,3,4}:{(219,1),(233,1),(329,1),(340,1),(354,1)}
       280:{3,4,6}:{(220,1),(221,1),(330,1),(341,1),(434,1)}
       281:{2,5}:{(221,1),(234,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(228,1),(238,1),(324,1),(342,1),(343,1),(350,1)}
       283:{1,4,5,7}:{(222,1),(224,1),(239,1),(325,1),(343,1),(344,1),(347,1),(445,1),(494,1),(534,1)}
       284:{2,4,6}:{(223,1),(226,1),(326,1),(342,1),(345,1),(346,1),(431,1)}
       285:{1,3,4,7}:{(223,1),(224,1),(240,1),(327,1),(343,1),(346,1),(426,1),(432,1),(494,1),(532,1)}
       286:{1,4,6,7}:{(224,1),(225,1),(227,1),(241,1),(328,1),(347,1)}
       287:{1,4,5}:{(226,1),(233,1),(329,1),(345,1),(348,1)}
       288:{1,5,6}:{(227,1),(234,1),(243,1),(331,1),(347,1)}
       289:{2,5}:{(228,1),(230,1),(348,1)}
       290:{1,3,5,7}:{(228,1),(229,1),(231,1),(246,1),(334,1),(349,1),(350,1)}
       291:{1,4,6}:{(229,1),(247,1),(335,1),(350,1),(351,1),(449,1)}
       292:{1,4,6}:{(230,1),(233,1),(235,1),(348,1),(353,1),(449,1)}
       293:{2,4,7}:{(230,1),(231,1),(236,1),(349,1),(353,1)}
       294:{1,5,7}:{(232,1),(234,1),(251,1),(339,1),(351,1),(539,1)}
       295:{1,2,4}:{(233,1),(237,1),(252,1),(340,1),(354,1)}
       296:{1,2,6}:{(235,1),(237,1),(260,1),(355,1),(431,1)}
       297:{1,3,7}:{(235,1),(236,1),(353,1),(355,1)}
       298:{3,5,7}:{(238,1),(239,1),(240,1),(356,1),(532,1)}
       299:{2,4,6,7}:{(239,1),(247,1),(344,1),(356,1),(357,1),(446,1),(451,1)}
       300:{3,4,6,7}:{(240,1),(241,1),(242,1),(356,1),(358,1),(451,1)}
       301:{2,5,7}:{(241,1),(243,1),(347,1),(358,1)}
       302:{3,5,6}:{(242,1),(243,1),(253,1),(358,1),(359,1)}
       303:{2,4,5}:{(244,1),(245,1),(254,1),(360,1),(505,1)}
       304:{3,4,5,7}:{(244,1),(246,1),(255,1),(361,1),(362,1),(369,1),(373,1),(535,1),(549,1)}
       305:{1,3,5}:{(245,1),(248,1),(348,1),(360,1),(363,1),(452,1),(539,1),(540,1)}
       306:{2,3,5,7}:{(245,1),(246,1),(249,1),(349,1),(361,1),(364,1),(365,1)}
       307:{3,6}:{(246,1),(247,1)}
       308:{2,5,6}:{(247,1),(251,1),(351,1),(366,1)}
       309:{2,4,6}:{(248,1),(252,1),(260,1),(363,1),(367,1),(368,1),(457,1),(459,1)}
       310:{1,3,4,7}:{(248,1),(249,1),(261,1),(353,1),(364,1),(368,1),(371,1),(450,1),(460,1),(508,1),(510,1)}
       311:{3,5,7}:{(250,1),(251,1),(253,1),(366,1),(369,1),(549,1)}
       312:{2,3}:{(252,1),(354,1)}
       313:{4,5}:{(253,1),(263,1)}
       314:{1,4,6}:{(254,1),(256,1),(360,1),(370,1),(371,1),(541,1)}
       315:{2,4,7}:{(254,1),(255,1),(257,1),(371,1)}
       316:{3,4,6,7}:{(255,1),(258,1),(362,1),(372,1),(373,1),(376,1)}
       317:{2,5,6}:{(256,1),(260,1),(363,1),(370,1),(374,1),(459,1)}
       318:{1,3,5,7}:{(256,1),(257,1),(261,1),(264,1),(371,1),(374,1),(375,1),(460,1),(462,1),(514,1)}
       319:{2,3,6,7}:{(257,1),(258,1),(265,1),(365,1),(372,1),(375,1)}
       320:{3,5,6,7}:{(258,1),(259,1),(262,1),(366,1),(373,1),(376,1)}
       321:{2,7}:{(260,1),(261,1)}
       322:{4,7}:{(262,1),(263,1)}
       323:{1,6,7}:{(264,1),(265,1),(449,1)}
       324:{3,5,6}:{(267,1),(268,1),(274,1),(377,1),(379,1),(391,1)}
       325:{2,4,5,7}:{(267,1),(269,1),(283,1),(379,1),(380,1),(384,1),(399,1),(464,1),(471,1),(518,1),(519,1)}
       326:{2,3,6}:{(268,1),(271,1),(284,1),(381,1),(382,1),(515,1)}
       327:{3,7}:{(268,1),(269,1)}
       328:{2,4,6,7}:{(269,1),(270,1),(273,1),(286,1),(383,1),(384,1),(471,1)}
       329:{1,3,5}:{(271,1),(279,1),(287,1),(381,1),(385,1)}
       330:{3,6}:{(272,1),(273,1)}
       331:{2,5,6}:{(273,1),(281,1),(288,1),(384,1),(386,1)}
       332:{3,4,5}:{(274,1),(377,1),(387,1),(397,1),(485,1)}
       333:{2,3,5}:{(274,1),(276,1),(289,1),(387,1),(389,1),(530,1)}
       334:{3,5,7}:{(274,1),(275,1),(277,1),(391,1)}
       335:{2,4,6}:{(275,1),(291,1),(391,1),(392,1),(405,1),(479,1)}
       336:{1,3,4,6}:{(276,1),(279,1),(292,1),(381,1),(389,1),(393,1),(394,1),(406,1),(463,1),(478,1),(482,1),(515,1),(521,1),(527,1),(544,1)}
       337:{2,3,4,7}:{(276,1),(277,1),(293,1),(382,1),(390,1),(394,1),(418,1),(464,1),(489,1)}
       338:{3,4,6,7}:{(277,1),(278,1),(280,1),(383,1),(391,1),(395,1),(471,1),(479,1),(491,1),(528,1),(531,1)}
       339:{2,5,7}:{(278,1),(281,1),(294,1),(392,1),(395,1),(530,1)}
       340:{2,4}:{(279,1),(385,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(289,1),(398,1),(399,1),(405,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(285,1),(298,1),(379,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(291,1),(299,1),(380,1),(400,1),(401,1),(481,1)}
       345:{1,4,6}:{(284,1),(287,1),(381,1),(398,1),(402,1)}
       346:{2,4,7}:{(284,1),(285,1),(382,1),(399,1),(402,1),(470,1)}
       347:{1,5,7}:{(286,1),(288,1),(301,1),(384,1)}
       348:{1,5}:{(289,1),(292,1)}
       349:{2,5,7}:{(289,1),(290,1),(293,1),(404,1),(405,1)}
       350:{1,3,6}:{(290,1),(291,1),(307,1),(391,1),(405,1)}
       351:{1,5,6}:{(291,1),(294,1),(308,1),(392,1)}
       352:{1,2,4,6}:{(292,1),(295,1),(296,1),(309,1),(393,1),(403,1),(406,1),(407,1),(482,1),(484,1),(527,1)}
       353:{1,4,7}:{(292,1),(293,1),(297,1),(404,1)}
       354:{1,3}:{(295,1),(312,1),(396,1)}
       355:{1,2,7}:{(296,1),(297,1),(321,1),(470,1)}
       356:{3,6,7}:{(298,1),(299,1),(307,1)}
       357:{2,5,6,7}:{(299,1),(301,1),(308,1),(401,1),(408,1),(543,1)}
       358:{3,5,7}:{(300,1),(301,1),(302,1),(409,1)}
       359:{4,5,6}:{(302,1),(313,1),(409,1),(417,1)}
       360:{1,4,5}:{(303,1),(305,1),(314,1),(410,1),(482,1),(547,1)}
       361:{2,4,5,7}:{(303,1),(304,1),(306,1),(315,1),(411,1),(412,1),(422,1),(525,1),(546,1)}
       362:{3,4,6}:{(304,1),(307,1),(412,1),(413,1),(417,1)}
       363:{2,5}:{(305,1),(309,1)}
       364:{1,3,5,7}:{(305,1),(306,1),(310,1),(404,1),(411,1),(415,1),(416,1),(486,1)}
       365:{2,3,6}:{(306,1),(307,1),(405,1),(412,1),(416,1)}
       366:{3,5,6}:{(307,1),(308,1),(311,1),(417,1)}
       367:{2,3,6}:{(309,1),(312,1),(406,1),(414,1),(418,1),(419,1)}
       368:{2,4,7}:{(309,1),(310,1),(321,1),(415,1),(418,1)}
       369:{4,5,7}:{(311,1),(313,1),(322,1),(417,1),(551,1),(552,1)}
       370:{2,4,6}:{(314,1),(317,1),(410,1),(419,1),(420,1)}
       371:{1,4,7}:{(314,1),(315,1),(318,1),(420,1),(531,1)}
       372:{2,4,6,7}:{(315,1),(316,1),(319,1),(412,1),(421,1),(422,1)}
       373:{3,5,7}:{(316,1),(413,1),(422,1),(423,1)}
       374:{2,5,7}:{(317,1),(318,1),(321,1),(420,1),(424,1)}
       375:{1,3,6,7}:{(318,1),(319,1),(323,1),(416,1),(421,1),(424,1),(491,1)}
       376:{4,6,7}:{(320,1),(322,1),(417,1),(423,1)}
       377:{3,4,6}:{(324,1),(332,1),(425,1),(426,1),(434,1)}
       378:{2,3,5,6}:{(324,1),(326,1),(333,1),(342,1),(425,1),(427,1),(428,1),(440,1),(503,1)}
       379:{3,5,7}:{(324,1),(325,1),(327,1),(426,1),(429,1)}
       380:{2,4,6,7}:{(325,1),(335,1),(344,1),(429,1),(430,1),(446,1),(499,1)}
       381:{1,3,6}:{(326,1),(329,1),(345,1),(431,1),(432,1)}
       382:{2,3,7}:{(326,1),(327,1),(346,1),(432,1),(532,1)}
       383:{3,6,7}:{(327,1),(328,1),(330,1),(433,1)}
       384:{2,5,7}:{(328,1),(331,1),(347,1),(433,1)}
       385:{2,5}:{(329,1),(340,1),(431,1)}
       386:{3,5,6}:{(330,1),(331,1),(341,1),(433,1),(434,1)}
       387:{2,4,5}:{(332,1),(333,1),(425,1),(435,1),(457,1)}
       388:{3,4,5,7}:{(332,1),(334,1),(426,1),(436,1),(437,1),(444,1),(496,1),(510,1),(540,1)}
       389:{1,3,5}:{(333,1),(336,1),(348,1),(435,1),(438,1),(500,1),(539,1),(549,1)}
       390:{2,3,5,7}:{(333,1),(334,1),(337,1),(349,1),(436,1),(439,1),(440,1)}
       391:{3,6}:{(334,1),(335,1)}
       392:{2,5,6}:{(335,1),(339,1),(351,1),(441,1)}
       393:{2,4,6}:{(336,1),(340,1),(431,1),(438,1),(442,1),(443,1),(505,1),(507,1)}
       394:{1,3,4,7}:{(336,1),(337,1),(353,1),(432,1),(439,1),(443,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       395:{3,5,7}:{(338,1),(339,1),(341,1),(441,1),(444,1),(540,1)}
       396:{2,3}:{(340,1),(354,1)}
       397:{4,5}:{(341,1),(434,1)}
       398:{1,5,6}:{(342,1),(345,1),(348,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(346,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(350,1),(356,1),(429,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(347,1),(351,1),(357,1),(430,1),(534,1)}
       402:{1,4,7}:{(345,1),(346,1),(432,1),(445,1)}
       403:{1,2,5}:{(348,1),(352,1),(363,1),(438,1),(447,1),(539,1)}
       404:{1,5,7}:{(348,1),(349,1),(353,1),(449,1)}
       405:{2,6}:{(349,1),(350,1),(449,1)}
       406:{1,3,6}:{(352,1),(354,1),(367,1),(442,1),(447,1),(450,1)}
       407:{1,2,4,7}:{(352,1),(353,1),(355,1),(368,1),(443,1),(448,1),(450,1),(508,1)}
       408:{3,5,6,7}:{(356,1),(357,1),(358,1),(366,1),(451,1),(548,1)}
       409:{4,5,7}:{(358,1),(359,1),(451,1)}
       410:{2,4,5}:{(360,1),(363,1),(370,1),(452,1),(457,1)}
       411:{1,4,5,7}:{(360,1),(361,1),(364,1),(371,1),(453,1),(454,1),(462,1),(508,1),(539,1)}
       412:{2,4,6}:{(361,1),(362,1),(365,1),(454,1),(455,1)}
       413:{3,5,6}:{(362,1),(373,1),(455,1),(456,1),(549,1)}
       414:{2,3,5}:{(363,1),(367,1),(447,1),(452,1),(457,1)}
       415:{2,5,7}:{(363,1),(364,1),(368,1),(459,1)}
       416:{1,3,6}:{(364,1),(365,1),(449,1),(454,1),(459,1),(511,1)}
       417:{4,6}:{(366,1),(369,1)}
       418:{2,3,7}:{(367,1),(368,1),(450,1),(460,1)}
       419:{3,6}:{(370,1),(452,1),(460,1)}
       420:{2,4,7}:{(370,1),(371,1),(374,1),(460,1)}
       421:{1,4,6,7}:{(371,1),(372,1),(375,1),(454,1),(461,1),(462,1)}
       422:{2,5,7}:{(372,1),(373,1),(455,1),(462,1)}
       423:{4,5,7}:{(373,1),(376,1),(456,1)}
       424:{2,6,7}:{(374,1),(375,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(387,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(379,1),(464,1),(471,1)}
       427:{1,3,5,6}:{(378,1),(381,1),(389,1),(398,1),(463,1),(466,1),(467,1),(478,1),(515,1),(524,1),(545,1)}
       428:{2,3,5,7}:{(378,1),(379,1),(382,1),(399,1),(464,1),(467,1),(468,1),(518,1)}
       429:{3,6,7}:{(379,1),(380,1),(391,1)}
       430:{2,5,6,7}:{(380,1),(384,1),(392,1),(401,1),(469,1),(518,1)}
       431:{2,6}:{(381,1),(385,1),(470,1)}
       432:{1,3,7}:{(381,1),(382,1),(402,1),(470,1)}
       433:{3,5,7}:{(383,1),(384,1),(386,1),(471,1)}
       434:{4,6}:{(386,1),(397,1),(471,1)}
       435:{1,4,5}:{(387,1),(389,1),(463,1),(472,1),(482,1),(552,1)}
       436:{2,4,5,7}:{(387,1),(388,1),(390,1),(464,1),(473,1),(474,1),(489,1),(518,1),(530,1)}
       437:{3,4,6}:{(388,1),(391,1),(474,1),(475,1),(479,1)}
       438:{2,5}:{(389,1),(393,1)}
       439:{1,3,5,7}:{(389,1),(390,1),(394,1),(404,1),(473,1),(477,1),(478,1),(522,1)}
       440:{2,3,6}:{(390,1),(391,1),(405,1),(474,1),(478,1)}
       441:{3,5,6}:{(391,1),(392,1),(395,1),(479,1)}
       442:{2,3,6}:{(393,1),(396,1),(406,1),(476,1),(480,1),(515,1)}
       443:{2,4,7}:{(393,1),(394,1),(470,1),(477,1),(480,1)}
       444:{4,5,7}:{(395,1),(397,1),(471,1),(479,1),(531,1),(547,1)}
       445:{1,5,7}:{(398,1),(399,1),(402,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(405,1),(481,1)}
       447:{1,3,5}:{(403,1),(406,1),(414,1),(476,1),(482,1)}
       448:{1,2,5,7}:{(403,1),(404,1),(407,1),(415,1),(477,1),(483,1),(484,1)}
       449:{1,6}:{(404,1),(405,1)}
       450:{1,3,7}:{(406,1),(407,1),(418,1),(480,1)}
       451:{4,6,7}:{(408,1),(409,1),(417,1),(551,1)}
       452:{3,5}:{(410,1),(419,1),(485,1)}
       453:{2,4,5,7}:{(410,1),(411,1),(415,1),(420,1),(486,1),(487,1),(489,1),(492,1),(530,1),(531,1),(547,1)}
       454:{1,4,6}:{(411,1),(412,1),(416,1),(487,1),(488,1)}
       455:{2,5,6}:{(412,1),(413,1),(422,1),(488,1),(546,1)}
       456:{4,5,6}:{(413,1),(417,1),(423,1),(552,1)}
       457:{2,4}:{(414,1),(482,1),(485,1)}
       458:{2,3,5,7}:{(414,1),(415,1),(418,1),(483,1),(486,1),(489,1),(490,1),(530,1)}
       459:{2,6}:{(415,1),(416,1)}
       460:{3,7}:{(419,1),(420,1)}
       461:{2,4,6,7}:{(420,1),(421,1),(424,1),(487,1),(491,1),(492,1),(531,1)}
       462:{1,5,7}:{(421,1),(422,1),(488,1),(492,1)}
       463:{1,4,6}:{(425,1),(427,1),(435,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(428,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(437,1),(495,1),(496,1),(499,1)}
       466:{2,5,6}:{(427,1),(431,1),(438,1),(493,1),(497,1),(507,1)}
       467:{1,3,5,7}:{(427,1),(428,1),(432,1),(445,1),(494,1),(497,1),(498,1),(532,1),(534,1),(548,1)}
       468:{2,3,6,7}:{(428,1),(429,1),(440,1),(446,1),(495,1),(498,1)}
       469:{3,5,6,7}:{(429,1),(430,1),(433,1),(441,1),(496,1),(499,1)}
       470:{2,7}:{(431,1),(432,1)}
       471:{4,7}:{(433,1),(434,1)}
       472:{2,4,5}:{(435,1),(438,1),(493,1),(500,1),(505,1)}
       473:{1,4,5,7}:{(435,1),(436,1),(439,1),(494,1),(501,1),(502,1),(508,1),(534,1),(539,1)}
       474:{2,4,6}:{(436,1),(437,1),(440,1),(502,1),(503,1)}
       475:{3,5,6}:{(437,1),(496,1),(503,1),(504,1),(540,1)}
       476:{2,3,5}:{(438,1),(442,1),(447,1),(500,1),(505,1)}
       477:{2,5,7}:{(438,1),(439,1),(443,1),(507,1)}
       478:{1,3,6}:{(439,1),(440,1),(449,1),(502,1),(507,1),(536,1)}
       479:{4,6}:{(441,1),(444,1)}
       480:{2,3,7}:{(442,1),(443,1),(450,1),(532,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(457,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(458,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(459,1),(507,1),(509,1)}
       485:{3,4}:{(452,1),(457,1)}
       486:{3,5,7}:{(452,1),(453,1),(460,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(453,1),(454,1),(459,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(454,1),(455,1),(462,1),(512,1),(539,1)}
       489:{2,4,7}:{(457,1),(458,1),(508,1),(510,1),(513,1)}
       490:{2,3,6}:{(458,1),(459,1),(509,1),(511,1),(513,1)}
       491:{3,6,7}:{(460,1),(461,1),(511,1),(514,1)}
       492:{2,5,7}:{(461,1),(462,1),(512,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(472,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(467,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(474,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(475,1),(518,1),(519,1)}
       497:{2,5,7}:{(466,1),(467,1),(470,1),(516,1),(520,1)}
       498:{1,3,6,7}:{(467,1),(468,1),(478,1),(481,1),(517,1),(520,1),(542,1)}
       499:{4,6,7}:{(469,1),(471,1),(479,1),(519,1)}
       500:{3,5}:{(472,1),(515,1),(521,1)}
       501:{2,4,5,7}:{(472,1),(473,1),(477,1),(516,1),(522,1),(523,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       502:{1,4,6}:{(473,1),(474,1),(478,1),(523,1),(524,1)}
       503:{2,5,6}:{(474,1),(475,1),(518,1),(524,1),(530,1)}
       504:{4,5,6}:{(475,1),(479,1),(519,1),(547,1)}
       505:{2,4}:{(476,1),(482,1),(521,1)}
       506:{2,3,5,7}:{(476,1),(477,1),(480,1),(483,1),(522,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(477,1),(478,1)}
       508:{1,4,7}:{(482,1),(483,1),(489,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(490,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(489,1),(528,1),(531,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(492,1),(529,1),(530,1)}
       513:{2,4,6}:{(489,1),(490,1),(527,1),(528,1),(530,1)}
       514:{3,5,7}:{(491,1),(492,1),(529,1),(531,1)}
       515:{3,6}:{(493,1),(500,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(497,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(498,1),(502,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(503,1),(534,1)}
       519:{4,5,7}:{(496,1),(499,1),(504,1)}
       520:{2,6,7}:{(497,1),(498,1),(507,1)}
       521:{3,4}:{(500,1),(505,1)}
       522:{3,5,7}:{(500,1),(501,1),(532,1),(535,1),(536,1),(549,1)}
       523:{2,4,6}:{(501,1),(502,1),(507,1),(536,1),(537,1),(550,1)}
       524:{1,5,6}:{(502,1),(503,1),(534,1),(537,1),(539,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(513,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(513,1),(539,1),(540,1)}
       531:{4,7}:{(514,1),(541,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(520,1),(523,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(524,1),(543,1)}
       535:{3,4,7}:{(521,1),(522,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{2,5,6}:{(523,1),(524,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{3,5}:{(528,1),(530,1),(547,1)}
       541:{4,6}:{(529,1),(531,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 250 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(41,1),(66,1),(106,1),(239,1),(310,1),(322,1)}
         1:{1,3,4,7}:{(0,1),(4,1),(5,1),(6,1),(22,1),(73,1),(82,1),(95,1),(185,1),(294,1),(374,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(361,1),(372,1)}
         3:{2,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(39,1),(70,1),(151,1),(154,1),(179,1),(186,1),(257,1),(268,1)}
         4:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(347,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(52,1),(418,1)}
         6:{1,3,4,6}:{(1,1),(3,1),(13,1),(15,1),(16,1),(44,1),(60,1),(112,1),(115,1),(124,1),(129,1),(135,1),(232,1),(240,1),(323,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(17,1),(18,1),(21,1),(64,1),(66,1),(106,1),(202,1)}
         8:{2,3,6}:{(2,1),(15,1),(18,1),(407,1),(417,1)}
         9:{2,3,5}:{(3,1),(16,1),(21,1),(202,1),(309,1),(321,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(68,1),(73,1),(374,1),(377,1)}
        11:{2,3,7}:{(4,1),(22,1),(27,1),(185,1)}
        12:{2,5,7}:{(4,1),(5,1),(29,1),(30,1)}
        13:{2,4,6}:{(4,1),(6,1),(27,1),(29,1),(30,1),(86,1),(287,1),(295,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(28,1),(31,1),(34,1),(73,1),(93,1),(95,1),(160,1)}
        15:{1,3,6}:{(5,1),(8,1),(29,1),(31,1),(87,1),(454,1)}
        16:{1,3,5}:{(6,1),(9,1),(30,1),(34,1),(92,1),(160,1),(174,1),(373,1)}
        17:{3,4,5,7}:{(7,1),(35,1),(40,1),(98,1),(103,1),(150,1),(253,1),(358,1),(361,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(35,1),(37,1)}
        19:{2,3,6,7}:{(8,1),(32,1),(36,1),(38,1),(194,1),(296,1)}
        20:{2,3,5,6}:{(8,1),(9,1),(33,1),(37,1),(38,1),(39,1),(102,1),(186,1),(190,1)}
        21:{2,4,5}:{(9,1),(34,1),(39,1),(40,1),(154,1)}
        22:{1,3,7}:{(10,1),(11,1),(41,1),(44,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(43,1),(45,1),(46,1),(104,1),(418,1)}
        24:{1,2,4,6}:{(10,1),(13,1),(44,1),(45,1),(46,1),(105,1),(112,1),(115,1),(323,1),(324,1),(326,1)}
        25:{2,3,4,7}:{(11,1),(42,1),(47,1),(48,1),(49,1),(223,1),(230,1),(322,1),(401,1)}
        26:{2,3,5,7}:{(11,1),(12,1),(43,1),(49,1),(50,1),(51,1),(52,1),(126,1)}
        27:{2,3,6}:{(11,1),(13,1),(44,1),(51,1),(135,1),(339,1)}
        28:{2,4,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(56,1),(126,1),(132,1),(134,1),(226,1),(234,1)}
        29:{2,6}:{(12,1),(15,1)}
        30:{2,5}:{(13,1),(16,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(53,1),(58,1)}
        32:{1,3,6,7}:{(15,1),(19,1),(54,1),(57,1),(59,1),(130,1),(348,1)}
        33:{1,3,5,6}:{(15,1),(16,1),(20,1),(55,1),(58,1),(59,1),(60,1),(131,1),(135,1),(240,1),(244,1)}
        34:{1,4,5}:{(16,1),(21,1),(56,1),(60,1),(115,1),(226,1)}
        35:{3,4,6}:{(17,1),(18,1),(63,1),(404,1),(407,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(57,1),(62,1),(64,1),(66,1)}
        37:{2,5,6}:{(18,1),(58,1),(63,1),(64,1),(202,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(59,1),(64,1),(66,1),(146,1),(239,1),(243,1)}
        39:{2,4,6}:{(20,1),(21,1),(60,1),(66,1),(67,1)}
        40:{3,4,5}:{(21,1),(67,1),(205,1),(309,1),(547,1)}
        41:{2,3,7}:{(22,1),(68,1),(70,1),(354,1)}
        42:{1,3,4,7}:{(22,1),(25,1),(68,1),(71,1),(72,1),(73,1),(150,1),(261,1),(354,1),(374,1),(441,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(26,1),(69,1),(73,1),(74,1),(75,1),(160,1)}
        44:{1,3,6}:{(22,1),(24,1),(27,1),(70,1),(75,1),(376,1)}
        45:{1,2,6}:{(23,1),(29,1),(74,1),(148,1),(454,1)}
        46:{1,2,5}:{(24,1),(30,1),(75,1),(149,1),(160,1),(373,1)}
        47:{2,3,5,7}:{(25,1),(71,1),(79,1),(80,1),(81,1),(283,1),(372,1)}
        48:{2,3,4,6}:{(25,1),(27,1),(72,1),(80,1),(81,1),(83,1),(86,1),(171,1),(178,1),(258,1),(268,1),(355,1)}
        49:{2,4,7}:{(26,1),(73,1),(82,1),(83,1),(86,1)}
        50:{2,3,6}:{(26,1),(29,1),(74,1),(83,1),(87,1)}
        51:{2,3,5}:{(27,1),(30,1),(75,1),(86,1),(92,1)}
        52:{3,5,7}:{(28,1),(82,1),(87,1),(92,1),(174,1),(185,1)}
        53:{2,4,6}:{(28,1),(29,1),(31,1),(87,1),(89,1),(181,1)}
        54:{2,6,7}:{(29,1),(32,1),(90,1)}
        55:{2,5,6}:{(29,1),(30,1),(33,1),(90,1),(91,1),(295,1)}
        56:{2,4,5}:{(30,1),(34,1),(86,1),(91,1),(92,1)}
        57:{1,4,6,7}:{(31,1),(32,1),(36,1),(88,1),(93,1),(95,1)}
        58:{1,5,6}:{(31,1),(37,1),(89,1),(93,1),(160,1)}
        59:{1,3,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(95,1),(180,1),(185,1),(294,1),(297,1)}
        60:{1,4,6}:{(33,1),(34,1),(39,1),(91,1),(95,1),(181,1)}
        61:{1,3,4,5}:{(34,1),(40,1),(92,1),(96,1),(97,1),(163,1),(187,1),(266,1),(281,1),(383,1),(461,1)}
        62:{3,4,6,7}:{(35,1),(36,1),(98,1),(103,1),(193,1),(194,1)}
        63:{3,5,6}:{(35,1),(37,1),(98,1),(99,1),(253,1)}
        64:{2,5,7}:{(36,1),(37,1),(93,1),(98,1)}
        65:{2,4,5,6}:{(37,1),(39,1),(94,1),(99,1),(101,1),(102,1),(190,1),(255,1),(360,1),(392,1),(511,1),(540,1)}
        66:{2,4,7}:{(38,1),(39,1),(95,1),(103,1)}
        67:{3,4,6}:{(39,1),(40,1),(102,1),(103,1),(540,1)}
        68:{2,4,7}:{(41,1),(42,1),(104,1),(105,1),(475,1)}
        69:{2,3,5,7}:{(41,1),(43,1),(104,1),(106,1),(107,1),(108,1),(195,1),(202,1)}
        70:{2,3,6}:{(41,1),(44,1),(105,1),(108,1),(303,1),(412,1)}
        71:{1,3,5,7}:{(42,1),(47,1),(104,1),(109,1),(110,1),(111,1),(195,1),(418,1)}
        72:{1,3,4,6}:{(42,1),(44,1),(48,1),(105,1),(110,1),(111,1),(112,1),(115,1),(200,1),(205,1),(209,1),(303,1),(312,1),(323,1),(402,1)}
        73:{1,4,7}:{(43,1),(49,1),(106,1),(112,1),(115,1)}
        74:{1,3,6}:{(43,1),(45,1),(50,1),(107,1),(112,1)}
        75:{1,3,5}:{(44,1),(46,1),(51,1),(108,1),(115,1)}
        76:{1,2,6,7}:{(45,1),(54,1),(113,1),(116,1),(197,1),(348,1),(417,1),(434,1),(484,1),(485,1),(520,1)}
        77:{1,2,5,6}:{(45,1),(46,1),(55,1),(114,1),(116,1),(117,1),(198,1),(244,1),(321,1),(326,1),(346,1),(415,1),(417,1),(419,1),(474,1),(485,1)}
        78:{1,2,4,5}:{(46,1),(56,1),(115,1),(117,1),(118,1),(142,1),(199,1),(212,1),(215,1),(241,1),(318,1),(321,1),(324,1),(403,1),(419,1),(425,1),(479,1),(487,1)}
        79:{2,4,5,7}:{(47,1),(49,1),(109,1),(119,1),(120,1),(123,1),(126,1),(221,1),(223,1)}
        80:{2,3,6}:{(47,1),(110,1),(120,1),(334,1),(417,1)}
        81:{2,3,5}:{(48,1),(111,1),(123,1),(126,1),(229,1),(321,1)}
        82:{3,4,7}:{(49,1),(52,1),(124,1),(129,1),(234,1)}
        83:{2,4,6}:{(49,1),(50,1),(112,1),(124,1),(126,1)}
        84:{2,3,6,7}:{(50,1),(54,1),(113,1),(125,1),(127,1),(130,1),(334,1),(417,1),(520,1),(525,1),(543,1)}
        85:{2,3,5,6}:{(50,1),(51,1),(55,1),(114,1),(126,1),(127,1),(128,1),(131,1),(135,1),(217,1),(227,1),(229,1),(321,1),(334,1),(417,1),(474,1),(482,1),(519,1),(525,1),(544,1),(546,1)}
        86:{2,4}:{(51,1),(115,1),(129,1)}
        87:{3,6}:{(52,1),(53,1)}
        88:{2,4,6,7}:{(53,1),(54,1),(57,1),(130,1),(132,1),(134,1),(234,1)}
        89:{2,5,6}:{(53,1),(58,1),(126,1),(131,1),(132,1)}
        90:{2,5,7}:{(54,1),(55,1),(59,1),(134,1),(347,1)}
        91:{2,4,6}:{(55,1),(56,1),(60,1),(134,1),(135,1)}
        92:{3,5}:{(56,1),(129,1),(135,1)}
        93:{1,5,7}:{(57,1),(58,1),(64,1),(132,1)}
        94:{1,4,5,6}:{(58,1),(60,1),(65,1),(133,1),(138,1),(139,1),(212,1),(244,1),(319,1),(343,1),(488,1)}
        95:{1,4,7}:{(59,1),(60,1),(66,1),(134,1),(234,1)}
        96:{1,3,4,6}:{(60,1),(61,1),(67,1),(135,1),(139,1),(140,1),(141,1),(235,1),(240,1),(343,1),(433,1)}
        97:{2,4,5}:{(61,1),(136,1),(141,1),(142,1),(215,1),(241,1),(321,1)}
        98:{3,5,7}:{(62,1),(63,1),(64,1),(144,1)}
        99:{4,5,6}:{(63,1),(144,1),(306,1),(404,1)}
       100:{2,5,6,7}:{(64,1),(137,1),(143,1),(145,1),(307,1),(494,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(66,1),(138,1),(144,1),(145,1),(146,1),(243,1),(432,1),(494,1),(531,1)}
       102:{3,5,6}:{(65,1),(67,1),(146,1),(309,1),(407,1),(433,1)}
       103:{3,4,7}:{(66,1),(67,1),(146,1),(531,1)}
       104:{2,5,7}:{(68,1),(71,1),(148,1),(149,1)}
       105:{2,4,6}:{(68,1),(70,1),(72,1),(148,1),(149,1),(154,1),(365,1),(442,1)}
       106:{2,4,7}:{(69,1),(73,1),(150,1),(151,1),(154,1)}
       107:{2,3,6}:{(69,1),(74,1),(148,1),(151,1),(246,1)}
       108:{2,3,5}:{(70,1),(75,1),(149,1),(154,1),(251,1)}
       109:{1,4,5,7}:{(71,1),(73,1),(79,1),(147,1),(155,1),(158,1),(160,1),(259,1),(261,1)}
       110:{1,3,6}:{(71,1),(80,1),(148,1),(155,1),(246,1),(454,1)}
       111:{1,3,5}:{(72,1),(81,1),(149,1),(158,1),(160,1),(251,1),(253,1),(373,1)}
       112:{1,4,6}:{(73,1),(74,1),(83,1),(151,1),(160,1)}
       113:{1,3,6,7}:{(74,1),(76,1),(84,1),(152,1),(159,1),(161,1),(371,1),(454,1),(509,1)}
       114:{1,3,5,6}:{(74,1),(75,1),(77,1),(85,1),(153,1),(160,1),(161,1),(162,1),(165,1),(264,1),(266,1),(271,1),(371,1),(373,1),(454,1),(456,1),(509,1),(539,1)}
       115:{1,4}:{(75,1),(86,1),(154,1)}
       116:{1,2,5,7}:{(76,1),(77,1),(90,1),(161,1),(164,1),(249,1),(297,1),(372,1),(377,1),(394,1),(453,1),(501,1)}
       117:{1,2,4,6}:{(77,1),(78,1),(91,1),(162,1),(164,1),(165,1),(192,1),(250,1),(268,1),(295,1),(370,1),(392,1),(442,1),(499,1)}
       118:{1,3,5}:{(78,1),(92,1),(163,1),(165,1),(166,1),(251,1),(376,1),(461,1),(505,1)}
       119:{3,4,5,7}:{(79,1),(82,1),(167,1),(172,1),(174,1),(273,1),(278,1),(280,1),(283,1)}
       120:{2,4,6}:{(79,1),(80,1),(155,1),(167,1),(169,1)}
       121:{2,3,6,7}:{(80,1),(156,1),(168,1),(170,1),(379,1),(452,1)}
       122:{2,3,5,6}:{(80,1),(81,1),(157,1),(169,1),(170,1),(171,1),(277,1),(355,1),(368,1)}
       123:{2,4,5}:{(81,1),(86,1),(158,1),(171,1),(172,1)}
       124:{3,4,6}:{(82,1),(83,1),(87,1),(174,1),(181,1)}
       125:{2,4,6,7}:{(83,1),(84,1),(159,1),(173,1),(175,1),(177,1),(282,1),(538,1)}
       126:{2,5}:{(83,1),(160,1),(174,1)}
       127:{2,3,5,7}:{(84,1),(85,1),(90,1),(161,1),(175,1),(177,1),(180,1),(185,1),(270,1),(283,1),(372,1),(501,1),(534,1),(548,1)}
       128:{2,4,6}:{(85,1),(86,1),(162,1),(176,1),(177,1),(178,1),(181,1),(508,1),(549,1)}
       129:{3,4}:{(86,1),(92,1)}
       130:{3,6,7}:{(87,1),(88,1),(180,1),(185,1)}
       131:{3,5,6}:{(87,1),(89,1),(174,1),(180,1),(181,1)}
       132:{2,5,7}:{(88,1),(89,1),(93,1),(180,1)}
       133:{2,4,5,6}:{(89,1),(91,1),(94,1),(176,1),(181,1),(183,1),(184,1),(190,1),(282,1),(290,1),(380,1),(458,1)}
       134:{2,4,7}:{(90,1),(91,1),(95,1),(185,1)}
       135:{3,6}:{(91,1),(92,1),(185,1)}
       136:{2,3,5}:{(92,1),(97,1),(179,1),(186,1),(187,1),(461,1)}
       137:{1,5,6,7}:{(93,1),(100,1),(182,1),(188,1),(264,1),(465,1)}
       138:{1,4,5,7}:{(93,1),(94,1),(95,1),(101,1),(183,1),(188,1),(189,1),(297,1),(391,1),(465,1)}
       139:{1,3,5,6}:{(94,1),(96,1),(102,1),(184,1),(189,1),(190,1),(266,1),(371,1)}
       140:{1,3,4,7}:{(95,1),(96,1),(103,1),(185,1),(189,1),(191,1),(289,1),(294,1),(391,1),(467,1)}
       141:{2,4,6}:{(96,1),(97,1),(186,1),(190,1),(191,1),(192,1),(295,1)}
       142:{1,4,5}:{(97,1),(187,1),(192,1),(269,1),(373,1)}
       143:{3,5,6,7}:{(98,1),(100,1),(193,1),(194,1),(357,1),(515,1)}
       144:{4,5,7}:{(98,1),(99,1),(193,1)}
       145:{2,4,6,7}:{(100,1),(101,1),(188,1),(193,1),(194,1),(296,1),(360,1)}
       146:{3,5,7}:{(101,1),(102,1),(103,1),(194,1),(467,1)}
       147:{2,4,5,7}:{(104,1),(106,1),(109,1),(195,1),(196,1),(199,1),(202,1),(300,1),(302,1),(306,1),(396,1)}
       148:{2,6}:{(104,1),(110,1)}
       149:{2,5}:{(105,1),(111,1)}
       150:{3,4,7}:{(106,1),(195,1),(200,1),(205,1),(396,1)}
       151:{2,4,6}:{(106,1),(107,1),(112,1),(200,1),(202,1)}
       152:{2,3,6,7}:{(107,1),(113,1),(197,1),(201,1),(203,1),(298,1),(407,1),(417,1),(434,1),(492,1),(495,1)}
       153:{2,3,5,6}:{(107,1),(108,1),(114,1),(198,1),(202,1),(203,1),(204,1),(217,1),(299,1),(303,1),(307,1),(309,1),(321,1),(346,1),(407,1),(417,1),(428,1),(433,1),(492,1),(528,1),(530,1)}
       154:{2,4}:{(108,1),(115,1),(205,1)}
       155:{1,4,6}:{(109,1),(110,1),(120,1),(196,1),(207,1)}
       156:{1,3,6,7}:{(110,1),(121,1),(197,1),(206,1),(208,1),(298,1),(484,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(122,1),(198,1),(207,1),(208,1),(209,1),(299,1),(303,1),(402,1),(415,1)}
       158:{1,4,5}:{(111,1),(115,1),(123,1),(199,1),(209,1),(306,1)}
       159:{1,4,6,7}:{(112,1),(113,1),(125,1),(201,1),(211,1),(213,1),(319,1),(527,1)}
       160:{1,5}:{(112,1),(126,1),(202,1)}
       161:{1,3,5,7}:{(113,1),(114,1),(116,1),(127,1),(203,1),(211,1),(213,1),(216,1),(325,1),(418,1)}
       162:{1,4,6}:{(114,1),(115,1),(128,1),(204,1),(212,1),(213,1),(487,1)}
       163:{1,3,4}:{(115,1),(118,1),(129,1),(205,1),(215,1),(487,1),(491,1),(524,1)}
       164:{1,2,4,7}:{(116,1),(117,1),(134,1),(213,1),(216,1),(245,1),(302,1),(322,1),(347,1),(416,1),(432,1),(475,1),(518,1)}
       165:{1,3,6}:{(117,1),(118,1),(135,1),(216,1),(217,1),(303,1),(433,1),(519,1)}
       166:{2,3,5}:{(118,1),(215,1),(217,1),(218,1),(241,1),(321,1),(339,1),(403,1),(412,1)}
       167:{3,4,6}:{(119,1),(120,1),(220,1),(331,1),(334,1)}
       168:{2,4,6,7}:{(120,1),(121,1),(206,1),(219,1),(221,1),(223,1)}
       169:{2,5,6}:{(120,1),(126,1),(207,1),(220,1),(221,1)}
       170:{2,3,5,7}:{(121,1),(122,1),(208,1),(221,1),(223,1),(330,1),(401,1),(414,1)}
       171:{2,4,6}:{(122,1),(123,1),(209,1),(223,1),(224,1)}
       172:{3,4,5}:{(123,1),(129,1),(224,1),(229,1),(552,1)}
       173:{3,4,6,7}:{(124,1),(125,1),(130,1),(225,1),(230,1),(234,1),(331,1),(334,1),(543,1),(545,1),(551,1)}
       174:{3,5}:{(124,1),(126,1),(226,1)}
       175:{2,5,7}:{(125,1),(126,1),(211,1),(225,1),(227,1),(546,1)}
       176:{2,4,5}:{(126,1),(128,1),(212,1),(226,1),(229,1),(321,1),(546,1),(552,1)}
       177:{2,4,7}:{(127,1),(128,1),(213,1),(230,1),(234,1),(551,1)}
       178:{3,4,6}:{(128,1),(129,1),(135,1),(229,1),(230,1),(334,1),(519,1),(524,1)}
       179:{2,3,4}:{(129,1),(136,1),(215,1),(232,1),(412,1),(491,1)}
       180:{3,5,7}:{(130,1),(131,1),(132,1),(234,1)}
       181:{4,6}:{(131,1),(226,1),(234,1)}
       182:{2,5,6,7}:{(132,1),(137,1),(227,1),(233,1),(236,1),(430,1)}
       183:{2,4,5,7}:{(132,1),(133,1),(134,1),(138,1),(234,1),(236,1),(237,1),(243,1),(340,1),(342,1),(430,1)}
       184:{3,5,6}:{(133,1),(135,1),(229,1),(235,1),(237,1),(334,1)}
       185:{3,7}:{(134,1),(135,1)}
       186:{2,3,6}:{(135,1),(136,1),(141,1),(239,1),(240,1),(433,1)}
       187:{1,3,5}:{(136,1),(142,1),(232,1),(240,1),(241,1)}
       188:{1,4,6,7}:{(137,1),(138,1),(145,1),(236,1),(242,1),(319,1),(348,1)}
       189:{1,3,5,7}:{(138,1),(139,1),(140,1),(146,1),(237,1),(242,1),(243,1)}
       190:{2,5,6}:{(139,1),(141,1),(243,1),(244,1),(321,1),(417,1)}
       191:{2,4,7}:{(140,1),(141,1),(239,1),(243,1),(245,1),(347,1)}
       192:{1,4,6}:{(141,1),(142,1),(240,1),(244,1),(245,1)}
       193:{4,6,7}:{(143,1),(144,1),(404,1),(531,1)}
       194:{3,6,7}:{(145,1),(146,1),(407,1)}
       195:{3,5,7}:{(147,1),(150,1),(246,1),(251,1),(253,1),(354,1)}
       196:{2,4,6}:{(147,1),(148,1),(155,1),(246,1),(248,1),(350,1)}
       197:{2,6,7}:{(148,1),(156,1),(249,1)}
       198:{2,5,6}:{(148,1),(149,1),(157,1),(249,1),(250,1),(442,1)}
       199:{2,4,5}:{(149,1),(154,1),(158,1),(250,1),(251,1)}
       200:{3,4,6}:{(150,1),(151,1),(246,1),(253,1),(350,1)}
       201:{2,4,6,7}:{(151,1),(152,1),(159,1),(252,1),(254,1),(256,1),(360,1),(514,1)}
       202:{2,5}:{(151,1),(160,1),(253,1)}
       203:{2,3,5,7}:{(152,1),(153,1),(161,1),(249,1),(254,1),(256,1),(270,1),(349,1),(354,1),(361,1),(372,1),(394,1),(467,1),(515,1)}
       204:{2,4,6}:{(153,1),(154,1),(162,1),(255,1),(256,1),(257,1),(350,1),(464,1),(540,1)}
       205:{3,4}:{(154,1),(251,1)}
       206:{1,4,6,7}:{(155,1),(156,1),(168,1),(247,1),(259,1),(261,1)}
       207:{1,5,6}:{(155,1),(160,1),(169,1),(248,1),(259,1)}
       208:{1,3,5,7}:{(156,1),(157,1),(170,1),(249,1),(259,1),(261,1),(349,1),(354,1),(441,1),(453,1)}
       209:{1,4,6}:{(157,1),(158,1),(171,1),(250,1),(261,1),(350,1)}
       210:{1,3,4,5}:{(158,1),(163,1),(172,1),(251,1),(262,1),(263,1),(266,1),(356,1),(359,1),(446,1),(505,1)}
       211:{1,5,7}:{(159,1),(160,1),(175,1),(254,1),(264,1),(539,1)}
       212:{1,4,5}:{(160,1),(162,1),(176,1),(255,1),(266,1),(373,1),(539,1)}
       213:{1,4,7}:{(161,1),(162,1),(177,1),(256,1)}
       214:{1,3,4,6}:{(162,1),(163,1),(165,1),(178,1),(257,1),(266,1),(267,1),(268,1),(371,1)}
       215:{2,4}:{(163,1),(166,1),(269,1)}
       216:{1,3,7}:{(164,1),(165,1),(185,1),(270,1),(354,1),(467,1),(534,1)}
       217:{2,3,6}:{(165,1),(166,1),(268,1),(270,1),(271,1),(295,1),(442,1)}
       218:{1,3,5}:{(166,1),(269,1),(271,1),(272,1),(373,1),(376,1)}
       219:{3,4,6,7}:{(167,1),(168,1),(273,1),(278,1),(378,1),(379,1)}
       220:{3,5,6}:{(167,1),(169,1),(174,1),(273,1),(274,1)}
       221:{2,5,7}:{(168,1),(169,1),(259,1),(273,1)}
       222:{2,4,5,6}:{(169,1),(171,1),(176,1),(260,1),(274,1),(276,1),(277,1),(282,1),(368,1),(499,1),(535,1),(549,1)}
       223:{2,4,7}:{(170,1),(171,1),(261,1),(278,1)}
       224:{3,4,6}:{(171,1),(172,1),(277,1),(278,1),(549,1)}
       225:{3,5,7}:{(173,1),(174,1),(175,1),(279,1),(280,1),(550,1)}
       226:{4,5}:{(174,1),(181,1)}
       227:{2,5,6}:{(175,1),(264,1),(279,1),(282,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(177,1),(265,1),(280,1),(282,1),(283,1),(372,1)}
       229:{3,5}:{(176,1),(178,1)}
       230:{3,4,7}:{(177,1),(178,1),(185,1),(283,1),(534,1)}
       231:{2,3,4,6}:{(178,1),(179,1),(186,1),(268,1),(284,1),(285,1),(286,1),(290,1),(384,1),(451,1),(508,1),(538,1)}
       232:{1,3,4}:{(179,1),(187,1),(269,1),(287,1),(376,1)}
       233:{3,5,6,7}:{(180,1),(182,1),(279,1),(288,1),(291,1),(389,1)}
       234:{4,7}:{(180,1),(181,1)}
       235:{3,4,6}:{(181,1),(184,1),(281,1),(289,1),(290,1)}
       236:{2,4,6,7}:{(182,1),(183,1),(188,1),(282,1),(288,1),(291,1),(296,1)}
       237:{3,5,7}:{(183,1),(184,1),(185,1),(289,1),(291,1)}
       238:{2,3,5,6}:{(184,1),(186,1),(190,1),(284,1),(290,1),(292,1),(293,1),(384,1),(458,1)}
       239:{2,3,7}:{(185,1),(186,1),(191,1),(294,1),(467,1)}
       240:{1,3,6}:{(186,1),(187,1),(192,1),(294,1),(295,1)}
       241:{2,5}:{(187,1),(287,1),(295,1)}
       242:{1,3,6,7}:{(188,1),(189,1),(194,1),(291,1),(296,1),(371,1)}
       243:{2,5,7}:{(189,1),(190,1),(191,1),(296,1),(297,1)}
       244:{1,5,6}:{(190,1),(192,1),(297,1),(373,1),(454,1)}
       245:{1,4,7}:{(191,1),(192,1),(294,1),(297,1)}
       246:{3,6}:{(195,1),(196,1)}
       247:{2,4,6,7}:{(196,1),(197,1),(206,1),(298,1),(300,1),(302,1),(396,1)}
       248:{2,5,6}:{(196,1),(202,1),(207,1),(299,1),(300,1)}
       249:{2,5,7}:{(197,1),(198,1),(208,1),(302,1),(475,1)}
       250:{2,4,6}:{(198,1),(199,1),(209,1),(302,1),(303,1)}
       251:{3,5}:{(199,1),(205,1),(303,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(298,1),(305,1),(310,1),(396,1),(404,1),(407,1),(495,1),(529,1),(531,1)}
       253:{3,5}:{(200,1),(202,1),(306,1)}
       254:{2,5,7}:{(201,1),(202,1),(211,1),(305,1),(307,1),(530,1)}
       255:{2,4,5}:{(202,1),(204,1),(212,1),(306,1),(309,1),(321,1),(530,1),(547,1)}
       256:{2,4,7}:{(203,1),(204,1),(213,1),(310,1),(396,1),(531,1)}
       257:{3,4,6}:{(204,1),(205,1),(303,1),(309,1),(310,1),(407,1),(433,1),(491,1)}
       258:{2,3,4}:{(205,1),(215,1),(304,1),(312,1),(339,1),(524,1)}
       259:{1,5,7}:{(206,1),(207,1),(221,1),(300,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(212,1),(222,1),(301,1),(314,1),(315,1),(319,1),(415,1),(471,1),(521,1)}
       261:{1,4,7}:{(208,1),(209,1),(223,1),(302,1),(396,1)}
       262:{1,3,4,6}:{(209,1),(210,1),(224,1),(303,1),(315,1),(316,1),(317,1),(397,1),(402,1),(471,1),(519,1)}
       263:{2,4,5}:{(210,1),(215,1),(304,1),(317,1),(318,1),(321,1),(403,1)}
       264:{1,5,6}:{(211,1),(227,1),(307,1),(319,1)}
       265:{1,4,5,7}:{(211,1),(212,1),(213,1),(228,1),(308,1),(319,1),(320,1),(418,1)}
       266:{1,3,5}:{(212,1),(214,1),(229,1),(309,1),(321,1)}
       267:{1,3,4,7}:{(213,1),(214,1),(216,1),(230,1),(310,1),(320,1),(322,1)}
       268:{2,4,6}:{(214,1),(215,1),(217,1),(321,1),(322,1),(323,1),(417,1)}
       269:{1,4}:{(215,1),(218,1)}
       270:{2,3,7}:{(216,1),(217,1),(322,1),(325,1),(347,1),(475,1)}
       271:{1,3,6}:{(217,1),(218,1),(323,1),(325,1),(326,1)}
       272:{1,2,5}:{(218,1),(241,1),(324,1),(326,1),(403,1)}
       273:{3,5,7}:{(219,1),(220,1),(221,1),(328,1)}
       274:{4,5,6}:{(220,1),(226,1),(328,1),(331,1)}
       275:{2,5,6,7}:{(221,1),(227,1),(313,1),(327,1),(329,1),(542,1)}
       276:{2,4,5,7}:{(221,1),(222,1),(223,1),(314,1),(328,1),(329,1),(330,1),(414,1),(518,1),(542,1),(551,1)}
       277:{3,5,6}:{(222,1),(224,1),(229,1),(330,1),(334,1),(519,1)}
       278:{3,4,7}:{(223,1),(224,1),(330,1),(551,1)}
       279:{3,5,6}:{(225,1),(227,1),(331,1),(334,1)}
       280:{4,5,7}:{(225,1),(226,1),(234,1),(331,1),(551,1),(552,1)}
       281:{3,4,5}:{(226,1),(229,1),(235,1),(333,1),(524,1)}
       282:{2,4,6}:{(227,1),(228,1),(319,1),(331,1),(334,1),(417,1)}
       283:{3,5,7}:{(228,1),(229,1),(230,1),(334,1)}
       284:{2,3,5}:{(229,1),(231,1),(321,1),(333,1),(336,1),(546,1)}
       285:{2,3,4,7}:{(230,1),(231,1),(239,1),(322,1),(335,1),(337,1),(342,1),(483,1),(526,1)}
       286:{1,3,4,6}:{(231,1),(232,1),(240,1),(323,1),(336,1),(337,1),(338,1),(343,1),(421,1),(426,1),(433,1),(487,1),(491,1),(527,1),(529,1)}
       287:{2,4}:{(232,1),(241,1),(339,1)}
       288:{4,6,7}:{(233,1),(234,1),(331,1),(340,1)}
       289:{3,4,7}:{(234,1),(235,1),(237,1),(342,1)}
       290:{2,4,6}:{(235,1),(238,1),(333,1),(342,1),(343,1)}
       291:{3,6,7}:{(236,1),(237,1),(334,1)}
       292:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(342,1),(344,1),(345,1),(430,1)}
       293:{1,3,5,6}:{(238,1),(240,1),(244,1),(336,1),(343,1),(345,1),(346,1),(426,1),(433,1),(488,1),(528,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,6}:{(240,1),(241,1),(347,1)}
       296:{2,6,7}:{(242,1),(243,1),(348,1),(417,1)}
       297:{1,5,7}:{(243,1),(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(247,1),(349,1),(354,1)}
       299:{3,5,6}:{(246,1),(248,1),(253,1),(349,1),(350,1)}
       300:{2,5,7}:{(247,1),(248,1),(259,1),(349,1)}
       301:{2,4,5,6}:{(248,1),(250,1),(255,1),(260,1),(350,1),(352,1),(353,1),(360,1),(368,1),(437,1),(443,1),(502,1)}
       302:{2,4,7}:{(249,1),(250,1),(261,1),(354,1)}
       303:{3,6}:{(250,1),(251,1),(354,1)}
       304:{2,3,5}:{(251,1),(258,1),(263,1),(355,1),(356,1),(505,1)}
       305:{3,5,7}:{(252,1),(253,1),(254,1),(357,1),(358,1),(541,1)}
       306:{4,5}:{(253,1),(350,1)}
       307:{2,5,6}:{(254,1),(264,1),(357,1),(360,1)}
       308:{2,4,5,7}:{(254,1),(255,1),(256,1),(265,1),(358,1),(360,1),(361,1),(372,1)}
       309:{3,5}:{(255,1),(257,1)}
       310:{3,4,7}:{(256,1),(257,1),(354,1),(361,1),(467,1)}
       311:{2,3,4,6}:{(257,1),(258,1),(268,1),(355,1),(362,1),(363,1),(364,1),(388,1),(437,1),(447,1),(464,1),(514,1)}
       312:{1,3,4}:{(258,1),(269,1),(356,1),(365,1),(376,1)}
       313:{1,5,6,7}:{(259,1),(264,1),(275,1),(351,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(261,1),(276,1),(352,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(262,1),(266,1),(277,1),(353,1),(367,1),(368,1),(371,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(278,1),(354,1),(367,1),(369,1),(436,1),(441,1),(498,1),(534,1)}
       317:{2,4,6}:{(262,1),(263,1),(355,1),(368,1),(369,1),(370,1),(442,1)}
       318:{1,4,5}:{(263,1),(269,1),(356,1),(370,1),(373,1)}
       319:{1,4,6}:{(264,1),(265,1),(282,1),(360,1),(371,1),(454,1)}
       320:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(361,1),(371,1),(372,1)}
       321:{2,5}:{(266,1),(268,1),(373,1)}
       322:{2,4,7}:{(267,1),(268,1),(270,1),(372,1),(374,1)}
       323:{1,4,6}:{(268,1),(269,1),(271,1),(373,1),(374,1),(454,1)}
       324:{1,2,4}:{(269,1),(272,1),(287,1),(365,1),(376,1)}
       325:{1,3,7}:{(270,1),(271,1),(374,1),(377,1)}
       326:{1,2,6}:{(271,1),(272,1),(295,1),(377,1),(442,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(279,1),(378,1),(379,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(282,1),(366,1),(378,1),(379,1),(452,1)}
       330:{3,5,7}:{(276,1),(277,1),(278,1),(379,1),(534,1)}
       331:{4,6}:{(279,1),(280,1)}
       332:{3,4,5,7}:{(280,1),(281,1),(283,1),(289,1),(381,1),(382,1),(389,1),(537,1),(550,1)}
       333:{2,4,5}:{(281,1),(284,1),(290,1),(383,1),(508,1)}
       334:{3,6}:{(282,1),(283,1)}
       335:{2,3,5,7}:{(283,1),(284,1),(285,1),(372,1),(382,1),(384,1),(385,1)}
       336:{1,3,5}:{(284,1),(286,1),(373,1),(383,1),(386,1),(461,1),(539,1),(541,1)}
       337:{1,3,4,7}:{(285,1),(286,1),(294,1),(374,1),(385,1),(387,1),(391,1),(457,1),(467,1),(510,1),(513,1)}
       338:{2,4,6}:{(286,1),(287,1),(295,1),(386,1),(387,1),(388,1),(462,1),(464,1)}
       339:{2,3}:{(287,1),(376,1)}
       340:{4,5,7}:{(288,1),(380,1),(389,1)}
       341:{3,4,6,7}:{(288,1),(289,1),(291,1),(381,1),(389,1),(390,1)}
       342:{2,4,7}:{(289,1),(290,1),(292,1),(391,1)}
       343:{1,4,6}:{(290,1),(293,1),(383,1),(391,1),(392,1),(540,1)}
       344:{2,3,6,7}:{(291,1),(292,1),(296,1),(384,1),(390,1),(393,1)}
       345:{1,3,5,7}:{(292,1),(293,1),(294,1),(297,1),(391,1),(393,1),(394,1),(465,1),(467,1),(515,1)}
       346:{2,5,6}:{(293,1),(295,1),(386,1),(392,1),(394,1),(462,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{1,6,7}:{(296,1),(297,1),(454,1)}
       349:{3,5,7}:{(298,1),(299,1),(300,1),(396,1)}
       350:{4,6}:{(299,1),(306,1),(396,1)}
       351:{2,5,6,7}:{(300,1),(307,1),(313,1),(395,1),(398,1),(516,1)}
       352:{2,4,5,7}:{(300,1),(301,1),(302,1),(314,1),(396,1),(398,1),(399,1),(414,1),(468,1),(470,1),(516,1)}
       353:{3,5,6}:{(301,1),(303,1),(309,1),(397,1),(399,1),(407,1)}
       354:{3,7}:{(302,1),(303,1)}
       355:{2,3,6}:{(303,1),(304,1),(317,1),(401,1),(402,1),(519,1)}
       356:{1,3,5}:{(304,1),(312,1),(318,1),(402,1),(403,1)}
       357:{3,5,6}:{(305,1),(307,1),(404,1),(407,1)}
       358:{4,5,7}:{(305,1),(306,1),(396,1),(404,1),(531,1),(547,1)}
       359:{3,4,5}:{(306,1),(309,1),(397,1),(406,1),(491,1)}
       360:{2,4,6}:{(307,1),(308,1),(319,1),(404,1),(407,1),(417,1)}
       361:{3,5,7}:{(308,1),(309,1),(310,1),(407,1)}
       362:{2,3,5}:{(309,1),(311,1),(321,1),(406,1),(409,1),(530,1)}
       363:{2,3,4,7}:{(310,1),(311,1),(322,1),(401,1),(408,1),(410,1),(429,1),(470,1),(493,1)}
       364:{1,3,4,6}:{(311,1),(312,1),(323,1),(402,1),(409,1),(410,1),(411,1),(421,1),(471,1),(480,1),(487,1),(519,1),(524,1),(527,1),(545,1)}
       365:{2,4}:{(312,1),(403,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(319,1),(329,1),(398,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(316,1),(330,1),(399,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(317,1),(321,1),(414,1),(415,1),(417,1)}
       369:{2,4,7}:{(316,1),(317,1),(401,1),(414,1),(416,1),(475,1)}
       370:{1,4,6}:{(317,1),(318,1),(402,1),(415,1),(416,1)}
       371:{1,3,6}:{(319,1),(320,1),(334,1),(407,1),(417,1)}
       372:{2,5,7}:{(320,1),(321,1),(322,1),(417,1),(418,1)}
       373:{1,5}:{(321,1),(323,1)}
       374:{1,4,7}:{(322,1),(323,1),(325,1),(418,1)}
       375:{1,2,4,6}:{(323,1),(324,1),(326,1),(338,1),(411,1),(419,1),(420,1),(421,1),(485,1),(487,1),(527,1)}
       376:{1,3}:{(324,1),(339,1),(412,1)}
       377:{1,2,7}:{(325,1),(326,1),(347,1),(475,1)}
       378:{4,6,7}:{(327,1),(328,1),(331,1),(551,1)}
       379:{3,6,7}:{(329,1),(330,1),(334,1)}
       380:{4,5,6}:{(331,1),(340,1),(422,1),(552,1)}
       381:{3,4,6}:{(331,1),(332,1),(334,1),(422,1),(423,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(335,1),(342,1),(423,1),(424,1),(430,1),(526,1),(546,1)}
       383:{1,4,5}:{(333,1),(336,1),(343,1),(425,1),(487,1),(547,1)}
       384:{2,3,6}:{(334,1),(335,1),(417,1),(423,1),(426,1)}
       385:{1,3,5,7}:{(335,1),(336,1),(337,1),(418,1),(424,1),(426,1),(427,1),(490,1)}
       386:{2,5}:{(336,1),(338,1)}
       387:{2,4,7}:{(337,1),(338,1),(347,1),(427,1),(429,1)}
       388:{2,3,6}:{(338,1),(339,1),(421,1),(428,1),(429,1),(433,1)}
       389:{3,5,7}:{(340,1),(341,1),(422,1),(430,1)}
       390:{2,4,6,7}:{(341,1),(342,1),(344,1),(423,1),(430,1),(431,1)}
       391:{1,4,7}:{(342,1),(343,1),(345,1),(432,1),(531,1)}
       392:{2,4,6}:{(343,1),(346,1),(425,1),(432,1),(433,1)}
       393:{1,3,6,7}:{(344,1),(345,1),(348,1),(426,1),(431,1),(434,1),(495,1)}
       394:{2,5,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(357,1),(435,1),(438,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(359,1),(436,1),(437,1)}
       398:{2,4,6,7}:{(351,1),(352,1),(360,1),(366,1),(435,1),(438,1),(452,1)}
       399:{3,5,7}:{(352,1),(353,1),(354,1),(436,1),(438,1)}
       400:{2,3,5,6}:{(353,1),(355,1),(362,1),(368,1),(437,1),(439,1),(440,1),(447,1),(502,1)}
       401:{2,3,7}:{(354,1),(355,1),(369,1),(441,1),(534,1)}
       402:{1,3,6}:{(355,1),(356,1),(370,1),(441,1),(442,1)}
       403:{2,5}:{(356,1),(365,1),(442,1)}
       404:{4,6}:{(357,1),(358,1)}
       405:{3,4,5,7}:{(358,1),(359,1),(361,1),(436,1),(444,1),(445,1),(496,1),(513,1),(541,1)}
       406:{2,4,5}:{(359,1),(362,1),(437,1),(446,1),(464,1)}
       407:{3,6}:{(360,1),(361,1)}
       408:{2,3,5,7}:{(361,1),(362,1),(363,1),(372,1),(445,1),(447,1),(448,1)}
       409:{1,3,5}:{(362,1),(364,1),(373,1),(446,1),(449,1),(505,1),(539,1),(550,1)}
       410:{1,3,4,7}:{(363,1),(364,1),(374,1),(441,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       411:{2,4,6}:{(364,1),(365,1),(442,1),(449,1),(450,1),(451,1),(506,1),(508,1)}
       412:{2,3}:{(365,1),(376,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(379,1),(438,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(369,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(370,1),(373,1),(453,1),(454,1)}
       416:{1,4,7}:{(369,1),(370,1),(441,1),(453,1)}
       417:{2,6}:{(371,1),(372,1),(454,1)}
       418:{1,5,7}:{(372,1),(373,1),(374,1),(454,1)}
       419:{1,2,5}:{(373,1),(375,1),(386,1),(449,1),(456,1),(539,1)}
       420:{1,2,4,7}:{(374,1),(375,1),(377,1),(387,1),(450,1),(455,1),(457,1),(510,1)}
       421:{1,3,6}:{(375,1),(376,1),(388,1),(451,1),(456,1),(457,1)}
       422:{3,5,6}:{(380,1),(381,1),(389,1),(458,1),(550,1)}
       423:{2,4,6}:{(381,1),(382,1),(384,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(382,1),(383,1),(385,1),(391,1),(459,1),(460,1),(465,1),(510,1),(539,1)}
       425:{2,4,5}:{(383,1),(386,1),(392,1),(461,1),(464,1)}
       426:{1,3,6}:{(384,1),(385,1),(454,1),(459,1),(462,1),(512,1)}
       427:{2,5,7}:{(385,1),(386,1),(387,1),(462,1)}
       428:{2,3,5}:{(386,1),(388,1),(456,1),(461,1),(464,1)}
       429:{2,3,7}:{(387,1),(388,1),(457,1),(467,1)}
       430:{2,5,7}:{(389,1),(390,1),(458,1),(465,1)}
       431:{1,4,6,7}:{(390,1),(391,1),(393,1),(459,1),(465,1),(466,1)}
       432:{2,4,7}:{(391,1),(392,1),(394,1),(467,1)}
       433:{3,6}:{(392,1),(461,1),(467,1)}
       434:{2,6,7}:{(393,1),(394,1),(462,1)}
       435:{4,6,7}:{(395,1),(396,1),(404,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(399,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(406,1),(470,1),(471,1)}
       438:{3,6,7}:{(398,1),(399,1),(407,1)}
       439:{2,3,5,7}:{(399,1),(400,1),(401,1),(414,1),(470,1),(472,1),(473,1),(516,1)}
       440:{1,3,5,6}:{(400,1),(402,1),(409,1),(415,1),(471,1),(473,1),(474,1),(480,1),(519,1),(521,1),(544,1)}
       441:{1,3,7}:{(401,1),(402,1),(416,1),(475,1)}
       442:{2,6}:{(402,1),(403,1),(475,1)}
       443:{4,5,6}:{(404,1),(468,1),(476,1),(547,1)}
       444:{3,4,6}:{(404,1),(405,1),(407,1),(476,1),(477,1)}
       445:{2,4,5,7}:{(405,1),(406,1),(408,1),(470,1),(477,1),(478,1),(493,1),(516,1),(530,1)}
       446:{1,4,5}:{(406,1),(409,1),(471,1),(479,1),(487,1),(552,1)}
       447:{2,3,6}:{(407,1),(408,1),(417,1),(477,1),(480,1)}
       448:{1,3,5,7}:{(408,1),(409,1),(410,1),(418,1),(478,1),(480,1),(481,1),(523,1)}
       449:{2,5}:{(409,1),(411,1)}
       450:{2,4,7}:{(410,1),(411,1),(475,1),(481,1),(483,1)}
       451:{2,3,6}:{(411,1),(412,1),(421,1),(482,1),(483,1),(519,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(416,1),(484,1)}
       454:{1,6}:{(417,1),(418,1)}
       455:{1,2,5,7}:{(418,1),(419,1),(420,1),(427,1),(481,1),(485,1),(486,1)}
       456:{1,3,5}:{(419,1),(421,1),(428,1),(482,1),(487,1)}
       457:{1,3,7}:{(420,1),(421,1),(429,1),(483,1)}
       458:{2,5,6}:{(422,1),(423,1),(430,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(426,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(427,1),(432,1),(489,1),(490,1),(493,1),(494,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(433,1),(491,1)}
       462:{2,6}:{(426,1),(427,1)}
       463:{2,3,5,7}:{(427,1),(428,1),(429,1),(486,1),(490,1),(492,1),(493,1),(530,1)}
       464:{2,4}:{(428,1),(487,1),(491,1)}
       465:{1,5,7}:{(430,1),(431,1),(488,1),(494,1)}
       466:{2,4,6,7}:{(431,1),(432,1),(434,1),(489,1),(494,1),(495,1),(531,1)}
       467:{3,7}:{(432,1),(433,1)}
       468:{4,5,7}:{(435,1),(443,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(438,1),(444,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(439,1),(498,1)}
       471:{1,4,6}:{(437,1),(440,1),(446,1),(498,1),(499,1),(549,1)}
       472:{2,3,6,7}:{(438,1),(439,1),(447,1),(452,1),(497,1),(500,1)}
       473:{1,3,5,7}:{(439,1),(440,1),(441,1),(453,1),(498,1),(500,1),(501,1),(532,1),(534,1),(548,1)}
       474:{2,5,6}:{(440,1),(442,1),(449,1),(499,1),(501,1),(506,1)}
       475:{2,7}:{(441,1),(442,1)}
       476:{3,5,6}:{(443,1),(444,1),(496,1),(502,1),(541,1)}
       477:{2,4,6}:{(444,1),(445,1),(447,1),(502,1),(503,1)}
       478:{1,4,5,7}:{(445,1),(446,1),(448,1),(498,1),(503,1),(504,1),(510,1),(532,1),(539,1)}
       479:{2,4,5}:{(446,1),(449,1),(499,1),(505,1),(508,1)}
       480:{1,3,6}:{(447,1),(448,1),(454,1),(503,1),(506,1),(536,1)}
       481:{2,5,7}:{(448,1),(449,1),(450,1),(506,1)}
       482:{2,3,5}:{(449,1),(451,1),(456,1),(505,1),(508,1)}
       483:{2,3,7}:{(450,1),(451,1),(457,1),(534,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(462,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(463,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(464,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(465,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(462,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(467,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(464,1)}
       492:{2,3,6}:{(462,1),(463,1),(509,1),(512,1),(514,1)}
       493:{2,4,7}:{(463,1),(464,1),(510,1),(513,1),(514,1)}
       494:{2,5,7}:{(465,1),(466,1),(511,1),(515,1)}
       495:{3,6,7}:{(466,1),(467,1),(512,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(476,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(472,1),(477,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(473,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(474,1),(479,1),(518,1),(519,1)}
       500:{1,3,6,7}:{(472,1),(473,1),(480,1),(484,1),(517,1),(520,1),(543,1)}
       501:{2,5,7}:{(473,1),(474,1),(475,1),(518,1),(520,1)}
       502:{2,5,6}:{(476,1),(477,1),(516,1),(521,1),(530,1)}
       503:{1,4,6}:{(477,1),(478,1),(480,1),(521,1),(522,1)}
       504:{2,4,5,7}:{(478,1),(479,1),(481,1),(518,1),(522,1),(523,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       505:{3,5}:{(479,1),(519,1),(524,1)}
       506:{2,6}:{(480,1),(481,1)}
       507:{2,3,5,7}:{(481,1),(482,1),(483,1),(486,1),(523,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(482,1),(487,1),(524,1)}
       509:{1,3,6}:{(485,1),(486,1),(492,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(493,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(494,1),(528,1),(530,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(493,1),(529,1),(531,1)}
       514:{2,4,6}:{(492,1),(493,1),(527,1),(529,1),(530,1)}
       515:{3,5,7}:{(494,1),(495,1),(528,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(500,1),(503,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(501,1),(534,1)}
       519:{3,6}:{(499,1),(505,1),(534,1)}
       520:{2,6,7}:{(500,1),(501,1),(506,1)}
       521:{1,5,6}:{(502,1),(503,1),(532,1),(535,1),(539,1)}
       522:{2,4,6}:{(503,1),(504,1),(506,1),(535,1),(536,1),(549,1)}
       523:{3,5,7}:{(504,1),(505,1),(534,1),(536,1),(537,1),(550,1)}
       524:{3,4}:{(505,1),(508,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(514,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(515,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(514,1),(539,1),(541,1)}
       531:{4,7}:{(515,1),(540,1)}
       532:{1,5,7}:{(516,1),(517,1),(521,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(520,1),(522,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(521,1),(522,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{3,4,7}:{(523,1),(524,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{4,6}:{(528,1),(531,1),(547,1)}
       541:{3,5}:{(529,1),(530,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 251 :   0:{2,3,4}:{(2,1),(3,1),(30,1),(62,1)}
         1:{3,4,5}:{(4,1),(5,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1)}
         3:{1,3,4}:{(0,1),(6,1),(8,1),(19,1),(47,1),(51,1)}
         4:{2,4,5}:{(1,1),(2,1),(10,1),(11,1),(62,1),(101,1)}
         5:{3,4,6}:{(1,1),(11,1),(12,1),(13,1)}
         6:{1,3,5}:{(2,1),(3,1),(10,1),(14,1),(15,1),(34,1)}
         7:{2,3,6}:{(2,1),(11,1),(15,1),(16,1)}
         8:{2,4}:{(3,1),(14,1),(17,1)}
         9:{1,2,4}:{(8,1),(18,1),(19,1),(46,1),(47,1)}
        10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(47,1),(86,1)}
        11:{2,4,6}:{(4,1),(5,1),(7,1),(21,1),(22,1),(23,1)}
        12:{3,5,6}:{(5,1),(22,1),(24,1),(25,1),(116,1),(143,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1)}
        14:{2,5}:{(6,1),(8,1),(27,1)}
        15:{1,3,6}:{(6,1),(7,1),(21,1),(27,1),(28,1),(52,1)}
        16:{2,3,7}:{(7,1),(23,1),(28,1)}
        17:{2,3}:{(8,1),(19,1)}
        18:{1,2,5}:{(9,1),(14,1),(31,1),(32,1),(64,1)}
        19:{1,3}:{(9,1),(17,1),(30,1)}
        20:{2,4,5}:{(10,1),(14,1),(34,1),(35,1),(41,1),(77,1),(109,1)}
        21:{1,4,6}:{(10,1),(11,1),(15,1),(35,1),(36,1),(37,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1),(101,1),(134,1)}
        23:{2,4,7}:{(11,1),(13,1),(16,1),(37,1),(38,1)}
        24:{4,5,6}:{(12,1),(39,1),(131,1),(149,1)}
        25:{3,5,7}:{(12,1),(13,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(17,1),(31,1),(34,1),(41,1),(42,1),(77,1)}
        27:{2,6}:{(14,1),(15,1),(43,1)}
        28:{1,3,7}:{(15,1),(16,1),(37,1),(43,1),(72,1)}
        29:{2,3,4}:{(17,1),(33,1),(41,1),(44,1)}
        30:{2,3}:{(19,1),(46,1)}
        31:{1,3,5}:{(18,1),(19,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        32:{1,2,6}:{(18,1),(27,1),(48,1),(49,1),(84,1)}
        33:{1,3,4}:{(19,1),(29,1),(46,1),(47,1),(50,1),(80,1)}
        34:{3,5}:{(20,1),(51,1),(52,1)}
        35:{2,4,6}:{(20,1),(21,1),(27,1),(52,1),(53,1),(54,1),(92,1)}
        36:{1,5,6}:{(21,1),(22,1),(53,1),(55,1),(86,1),(122,1)}
        37:{1,4,7}:{(21,1),(23,1),(28,1),(54,1),(55,1)}
        38:{2,5,7}:{(22,1),(23,1),(25,1),(55,1),(56,1)}
        39:{4,5,7}:{(24,1),(25,1),(57,1)}
        40:{3,6,7}:{(25,1),(56,1),(57,1),(143,1)}
        41:{2,4}:{(26,1),(47,1),(51,1)}
        42:{2,3,6}:{(26,1),(27,1),(48,1),(52,1),(59,1),(60,1)}
        43:{2,7}:{(27,1),(28,1)}
        44:{2,3,5}:{(29,1),(50,1),(58,1),(61,1)}
        45:{2,3,5}:{(30,1),(31,1),(62,1),(63,1),(64,1),(98,1),(101,1)}
        46:{2,4}:{(30,1),(33,1),(64,1)}
        47:{1,4}:{(31,1),(41,1),(62,1)}
        48:{1,3,6}:{(31,1),(32,1),(42,1),(63,1),(66,1),(67,1)}
        49:{1,2,7}:{(32,1),(43,1),(67,1),(103,1)}
        50:{1,3,5}:{(33,1),(44,1),(64,1),(65,1),(68,1),(98,1)}
        51:{3,4}:{(34,1),(41,1)}
        52:{3,6}:{(34,1),(35,1),(72,1)}
        53:{2,5,6}:{(35,1),(36,1),(71,1),(73,1),(77,1),(114,1)}
        54:{2,4,7}:{(35,1),(37,1),(43,1),(72,1),(73,1),(111,1)}
        55:{1,5,7}:{(36,1),(37,1),(38,1),(73,1),(74,1)}
        56:{2,6,7}:{(38,1),(40,1),(74,1),(134,1)}
        57:{4,6,7}:{(39,1),(40,1),(75,1),(149,1)}
        58:{2,4,5}:{(41,1),(44,1),(65,1),(69,1),(76,1),(77,1)}
        59:{2,4,6}:{(41,1),(42,1),(66,1),(70,1),(77,1),(78,1),(114,1)}
        60:{2,3,7}:{(42,1),(43,1),(67,1),(72,1),(78,1)}
        61:{2,3,6}:{(44,1),(68,1),(76,1),(79,1)}
        62:{2,4}:{(45,1),(47,1),(80,1)}
        63:{2,3,6}:{(45,1),(48,1),(82,1),(83,1),(84,1),(115,1)}
        64:{2,5}:{(46,1),(50,1),(84,1)}
        65:{1,4,5}:{(47,1),(50,1),(58,1),(81,1),(85,1),(86,1)}
        66:{1,4,6}:{(47,1),(48,1),(59,1),(82,1),(86,1),(87,1),(122,1)}
        67:{1,3,7}:{(48,1),(49,1),(60,1),(83,1),(87,1)}
        68:{1,3,6}:{(50,1),(61,1),(84,1),(85,1),(88,1),(115,1)}
        69:{3,4,5}:{(51,1),(58,1),(89,1),(90,1)}
        70:{3,4,6}:{(51,1),(52,1),(59,1),(90,1),(91,1),(92,1),(126,1)}
        71:{3,5,6}:{(52,1),(53,1),(90,1),(92,1),(93,1),(126,1),(146,1)}
        72:{3,7}:{(52,1),(54,1)}
        73:{2,5,7}:{(53,1),(54,1),(55,1),(93,1),(94,1)}
        74:{1,6,7}:{(55,1),(56,1),(94,1),(122,1)}
        75:{5,6,7}:{(57,1),(152,1)}
        76:{2,4,6}:{(58,1),(61,1),(85,1),(89,1),(95,1),(96,1)}
        77:{2,5}:{(59,1),(86,1),(90,1)}
        78:{2,4,7}:{(59,1),(60,1),(87,1),(91,1),(97,1)}
        79:{2,3,7}:{(61,1),(88,1),(96,1)}
        80:{3,4}:{(62,1),(98,1)}
        81:{2,4,5}:{(62,1),(64,1),(65,1),(98,1),(100,1),(101,1),(131,1)}
        82:{2,4,6}:{(62,1),(63,1),(66,1),(99,1),(101,1),(102,1),(134,1)}
        83:{2,3,7}:{(63,1),(67,1),(102,1),(103,1),(130,1)}
        84:{2,6}:{(64,1),(68,1),(103,1)}
        85:{1,4,6}:{(65,1),(68,1),(76,1),(100,1),(104,1),(105,1)}
        86:{1,5}:{(66,1),(77,1),(101,1)}
        87:{1,4,7}:{(66,1),(67,1),(78,1),(102,1),(106,1)}
        88:{1,3,7}:{(68,1),(79,1),(103,1),(105,1),(130,1)}
        89:{3,4,6}:{(69,1),(76,1),(107,1),(108,1)}
        90:{3,5}:{(70,1),(77,1),(109,1)}
        91:{3,4,7}:{(70,1),(72,1),(78,1),(110,1),(111,1)}
        92:{4,6}:{(71,1),(109,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(111,1),(112,1),(139,1)}
        94:{2,6,7}:{(73,1),(74,1),(112,1),(114,1)}
        95:{2,5,6}:{(76,1),(77,1),(104,1),(107,1),(113,1),(114,1)}
        96:{2,4,7}:{(76,1),(79,1),(105,1),(108,1),(113,1)}
        97:{2,5,7}:{(77,1),(78,1),(106,1),(110,1),(114,1)}
        98:{3,5}:{(80,1),(81,1),(115,1)}
        99:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
       100:{2,4,6}:{(81,1),(84,1),(85,1),(115,1),(118,1),(119,1),(140,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(87,1),(117,1),(120,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(86,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,4,7}:{(85,1),(88,1),(96,1),(119,1),(121,1)}
       106:{1,5,7}:{(86,1),(87,1),(97,1),(120,1),(122,1)}
       107:{3,5,6}:{(89,1),(90,1),(95,1),(123,1),(124,1),(126,1)}
       108:{3,4,7}:{(89,1),(96,1),(124,1)}
       109:{4,5}:{(90,1),(92,1)}
       110:{3,5,7}:{(90,1),(91,1),(97,1),(125,1),(126,1)}
       111:{4,7}:{(92,1),(93,1)}
       112:{3,6,7}:{(93,1),(94,1),(126,1),(127,1)}
       113:{2,5,7}:{(95,1),(96,1),(121,1),(124,1),(128,1)}
       114:{2,6}:{(97,1),(122,1),(126,1)}
       115:{3,6}:{(98,1),(100,1),(130,1)}
       116:{3,5}:{(99,1),(101,1),(131,1)}
       117:{3,4,7}:{(99,1),(102,1),(130,1),(132,1),(147,1)}
       118:{2,5,6}:{(100,1),(101,1),(104,1),(129,1),(133,1),(134,1)}
       119:{2,4,7}:{(100,1),(103,1),(105,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(106,1),(132,1),(134,1)}
       121:{1,5,7}:{(104,1),(105,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(106,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(107,1),(108,1),(113,1),(136,1),(137,1)}
       125:{4,5,7}:{(109,1),(110,1),(111,1),(138,1),(139,1)}
       126:{3,6}:{(110,1),(114,1),(138,1)}
       127:{4,6,7}:{(111,1),(112,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(137,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(143,1),(152,1)}
       130:{3,7}:{(115,1),(119,1)}
       131:{4,5}:{(116,1),(140,1)}
       132:{3,5,7}:{(116,1),(117,1),(120,1),(142,1),(143,1)}
       133:{2,5,7}:{(118,1),(119,1),(121,1),(141,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(126,1),(128,1),(145,1)}
       138:{4,6}:{(125,1),(126,1),(146,1)}
       139:{5,7}:{(127,1),(146,1)}
       140:{4,6}:{(129,1),(131,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(133,1),(147,1),(148,1),(153,1)}
       142:{4,5,7}:{(131,1),(132,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(132,1),(134,1),(149,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(148,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(143,1),(144,1),(151,1)}
       149:{4,6}:{(142,1),(143,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 252 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 253 :   0:{3,4,5}:{(1,1),(2,1),(92,1),(125,1)}
         1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(75,1),(112,1)}
         2:{3,4,6}:{(0,1),(6,1),(7,1),(8,1)}
         3:{2,3,4}:{(4,1),(9,1),(56,1),(75,1)}
         4:{2,3,5}:{(1,1),(3,1),(10,1),(11,1)}
         5:{1,4,5}:{(1,1),(10,1),(12,1),(13,1),(60,1),(97,1)}
         6:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1)}
         7:{3,5,6}:{(2,1),(14,1),(16,1),(17,1),(125,1),(146,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1)}
         9:{1,3,4}:{(3,1),(10,1),(18,1),(35,1),(42,1),(60,1)}
        10:{1,3,5}:{(4,1),(5,1),(9,1),(19,1),(20,1),(22,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1),(23,1),(46,1),(81,1),(85,1)}
        13:{1,4,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(7,1),(24,1),(26,1),(112,1),(140,1)}
        15:{2,4,7}:{(6,1),(8,1),(21,1),(25,1),(26,1)}
        16:{4,5,6}:{(7,1),(27,1),(137,1),(150,1)}
        17:{3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1)}
        18:{2,4}:{(9,1),(19,1),(30,1)}
        19:{2,5}:{(10,1),(18,1),(33,1)}
        20:{1,3,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(36,1)}
        21:{2,3,7}:{(11,1),(15,1),(34,1)}
        22:{3,5}:{(12,1),(35,1),(36,1)}
        23:{2,4,6}:{(12,1),(13,1),(33,1),(36,1),(37,1),(38,1),(69,1)}
        24:{1,5,6}:{(13,1),(14,1),(37,1),(39,1),(97,1),(131,1)}
        25:{1,4,7}:{(13,1),(15,1),(34,1),(38,1),(39,1)}
        26:{2,5,7}:{(14,1),(15,1),(17,1),(39,1),(40,1)}
        27:{4,5,7}:{(16,1),(17,1),(41,1)}
        28:{3,6,7}:{(17,1),(40,1),(41,1),(146,1)}
        29:{1,2,4}:{(18,1),(31,1),(42,1),(60,1),(72,1)}
        30:{2,3}:{(18,1),(42,1)}
        31:{1,2,5}:{(19,1),(29,1),(44,1),(45,1),(89,1)}
        32:{2,3,5}:{(19,1),(22,1),(30,1),(44,1),(46,1),(47,1),(81,1)}
        33:{2,6}:{(19,1),(20,1),(48,1)}
        34:{1,3,7}:{(20,1),(21,1),(25,1),(48,1),(52,1)}
        35:{3,4}:{(22,1),(46,1)}
        36:{3,6}:{(22,1),(23,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1),(81,1),(118,1)}
        38:{2,4,7}:{(23,1),(25,1),(48,1),(52,1),(53,1),(87,1)}
        39:{1,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        40:{2,6,7}:{(26,1),(28,1),(54,1),(140,1)}
        41:{4,6,7}:{(27,1),(28,1),(55,1),(150,1)}
        42:{1,3}:{(29,1),(30,1),(56,1)}
        43:{2,3,4}:{(30,1),(46,1),(57,1),(58,1)}
        44:{1,3,5}:{(31,1),(32,1),(42,1),(59,1),(60,1),(61,1),(97,1)}
        45:{1,2,6}:{(31,1),(33,1),(61,1),(62,1),(107,1)}
        46:{2,4}:{(32,1),(35,1),(60,1)}
        47:{2,3,6}:{(32,1),(33,1),(36,1),(61,1),(64,1),(65,1)}
        48:{2,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1),(66,1),(67,1)}
        50:{3,4,6}:{(35,1),(36,1),(64,1),(67,1),(68,1),(69,1),(105,1)}
        51:{3,5,6}:{(36,1),(37,1),(67,1),(69,1),(70,1),(105,1),(134,1)}
        52:{3,7}:{(36,1),(38,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(70,1),(71,1)}
        54:{1,6,7}:{(39,1),(40,1),(71,1),(131,1)}
        55:{5,6,7}:{(41,1),(152,1)}
        56:{2,3}:{(42,1),(72,1)}
        57:{1,3,4}:{(42,1),(43,1),(60,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(43,1),(63,1),(73,1),(74,1)}
        59:{2,3,5}:{(44,1),(56,1),(75,1),(76,1),(89,1),(109,1),(112,1)}
        60:{1,4}:{(44,1),(46,1),(75,1)}
        61:{1,3,6}:{(44,1),(45,1),(47,1),(76,1),(78,1),(79,1)}
        62:{1,2,7}:{(45,1),(48,1),(79,1),(123,1)}
        63:{2,4,5}:{(46,1),(49,1),(58,1),(77,1),(80,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(78,1),(81,1),(82,1),(118,1)}
        65:{2,3,7}:{(47,1),(48,1),(52,1),(79,1),(82,1)}
        66:{3,4,6}:{(49,1),(80,1),(83,1),(84,1)}
        67:{3,5}:{(50,1),(81,1),(85,1)}
        68:{3,4,7}:{(50,1),(52,1),(82,1),(86,1),(87,1)}
        69:{4,6}:{(51,1),(85,1),(87,1)}
        70:{3,5,7}:{(51,1),(52,1),(53,1),(87,1),(88,1),(122,1)}
        71:{2,6,7}:{(53,1),(54,1),(88,1),(118,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(77,1),(89,1),(90,1),(109,1)}
        74:{2,3,6}:{(58,1),(80,1),(90,1),(91,1)}
        75:{2,4}:{(59,1),(60,1),(92,1)}
        76:{2,3,6}:{(59,1),(61,1),(94,1),(95,1),(107,1),(124,1)}
        77:{1,4,5}:{(60,1),(63,1),(73,1),(93,1),(96,1),(97,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(94,1),(97,1),(98,1),(131,1)}
        79:{1,3,7}:{(61,1),(62,1),(65,1),(95,1),(98,1)}
        80:{2,4,6}:{(63,1),(66,1),(74,1),(96,1),(99,1),(100,1)}
        81:{2,5}:{(64,1),(67,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(98,1),(101,1)}
        83:{3,5,6}:{(66,1),(67,1),(99,1),(102,1),(103,1),(105,1)}
        84:{3,4,7}:{(66,1),(100,1),(103,1)}
        85:{4,5}:{(67,1),(69,1)}
        86:{3,5,7}:{(67,1),(68,1),(101,1),(104,1),(105,1)}
        87:{4,7}:{(69,1),(70,1)}
        88:{3,6,7}:{(70,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(96,1),(107,1),(108,1),(124,1)}
        91:{2,3,7}:{(74,1),(100,1),(108,1)}
        92:{3,4}:{(75,1),(109,1)}
        93:{2,4,5}:{(75,1),(77,1),(89,1),(109,1),(111,1),(112,1),(137,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(110,1),(112,1),(113,1),(140,1)}
        95:{2,3,7}:{(76,1),(79,1),(113,1),(123,1),(136,1)}
        96:{1,4,6}:{(77,1),(80,1),(90,1),(111,1),(114,1),(115,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,7}:{(78,1),(79,1),(82,1),(113,1),(116,1)}
        99:{2,5,6}:{(80,1),(81,1),(83,1),(114,1),(117,1),(118,1)}
       100:{2,4,7}:{(80,1),(84,1),(91,1),(115,1),(117,1)}
       101:{2,5,7}:{(81,1),(82,1),(86,1),(116,1),(118,1)}
       102:{4,5,6}:{(83,1),(85,1),(119,1),(121,1)}
       103:{3,5,7}:{(83,1),(84,1),(117,1),(119,1),(120,1)}
       104:{4,5,7}:{(85,1),(86,1),(87,1),(121,1),(122,1)}
       105:{3,6}:{(86,1),(118,1),(121,1)}
       106:{4,6,7}:{(87,1),(88,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(115,1),(123,1),(136,1)}
       109:{3,5}:{(92,1),(93,1),(124,1)}
       110:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       111:{2,4,6}:{(93,1),(96,1),(107,1),(124,1),(127,1),(128,1),(143,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,7}:{(94,1),(95,1),(98,1),(126,1),(129,1)}
       114:{1,5,6}:{(96,1),(97,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,4,7}:{(96,1),(100,1),(108,1),(128,1),(130,1)}
       116:{1,5,7}:{(97,1),(98,1),(101,1),(129,1),(131,1)}
       117:{2,5,7}:{(99,1),(100,1),(103,1),(130,1),(132,1)}
       118:{2,6}:{(101,1),(105,1),(131,1)}
       119:{4,5,7}:{(102,1),(103,1),(133,1)}
       120:{3,6,7}:{(103,1),(105,1),(132,1),(133,1)}
       121:{4,6}:{(104,1),(105,1),(134,1)}
       122:{5,7}:{(106,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,6}:{(109,1),(111,1),(136,1)}
       125:{3,5}:{(110,1),(112,1),(137,1)}
       126:{3,4,7}:{(110,1),(113,1),(136,1),(138,1),(148,1)}
       127:{2,5,6}:{(111,1),(112,1),(114,1),(135,1),(139,1),(140,1)}
       128:{2,4,7}:{(111,1),(115,1),(123,1),(136,1),(139,1),(148,1)}
       129:{2,5,7}:{(112,1),(113,1),(116,1),(138,1),(140,1)}
       130:{1,5,7}:{(114,1),(115,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(116,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(120,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(121,1),(142,1)}
       134:{5,6}:{(121,1),(122,1)}
       135:{3,5,6}:{(124,1),(125,1),(127,1),(143,1),(144,1),(146,1),(152,1)}
       136:{3,7}:{(124,1),(128,1)}
       137:{4,5}:{(125,1),(143,1)}
       138:{3,5,7}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       139:{2,5,7}:{(127,1),(128,1),(130,1),(144,1),(147,1)}
       140:{2,6}:{(129,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(137,1),(148,1)}
       144:{3,5,7}:{(135,1),(136,1),(139,1),(148,1),(149,1),(153,1)}
       145:{4,5,7}:{(137,1),(138,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(150,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(149,1)}
       148:{4,7}:{(143,1),(144,1)}
       149:{3,6,7}:{(144,1),(146,1),(147,1),(151,1)}
       150:{4,6}:{(145,1),(146,1),(152,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 254 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 255 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 256 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 257 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 258 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(34,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(54,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(55,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(34,1),(38,1),(46,1),(77,1),(83,1),(101,1),(108,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(74,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(53,1),(54,1),(64,1),(84,1),(93,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(115,1),(119,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(23,1),(24,1),(55,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(93,1),(115,1),(119,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(34,1),(42,1),(65,1),(68,1),(81,1),(83,1),(103,1),(104,1),(105,1),(108,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(34,1),(35,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(35,1),(36,1),(74,1)}
        22:{2,4,6,7}:{(12,1),(33,1),(37,1),(38,1),(72,1),(77,1),(108,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(34,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(35,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(50,1),(61,1),(86,1),(100,1),(119,1)}
        32:{2,4,6}:{(19,1),(21,1),(50,1),(51,1),(55,1),(90,1)}
        33:{1,4,6,7}:{(21,1),(22,1),(48,1),(52,1),(53,1),(91,1),(93,1),(118,1)}
        34:{2,5,7}:{(20,1),(27,1),(54,1),(55,1),(63,1),(123,1),(132,1)}
        35:{1,3,6}:{(20,1),(21,1),(23,1),(50,1),(55,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(53,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(119,1)}
        38:{2,5,7}:{(22,1),(24,1),(53,1),(57,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(119,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(54,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(55,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(105,1),(113,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(67,1),(68,1),(72,1),(105,1),(108,1)}
        49:{2,3,5,7}:{(31,1),(34,1),(40,1),(65,1),(69,1),(70,1),(80,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(68,1),(71,1),(103,1)}
        52:{1,3,6,7}:{(33,1),(35,1),(37,1),(67,1),(72,1),(73,1),(126,1)}
        53:{1,5,7}:{(33,1),(36,1),(38,1),(68,1)}
        54:{1,5,7}:{(34,1),(43,1),(74,1),(82,1),(130,1),(137,1)}
        55:{2,6}:{(34,1),(35,1),(74,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(39,1),(45,1),(71,1),(73,1),(75,1),(76,1),(110,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(39,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(74,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(119,1)}
        68:{2,5,7}:{(48,1),(51,1),(53,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(54,1),(59,1),(84,1),(88,1),(89,1),(97,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(55,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(61,1),(86,1),(87,1),(90,1)}
        72:{2,6,7}:{(52,1),(55,1),(91,1),(92,1),(132,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(56,1),(57,1),(87,1),(92,1),(93,1),(119,1)}
        74:{1,6}:{(54,1),(55,1)}
        75:{2,5,6}:{(55,1),(56,1),(63,1),(92,1),(94,1),(95,1)}
        76:{1,4,6}:{(56,1),(58,1),(64,1),(90,1),(93,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(78,1),(101,1),(106,1),(111,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(74,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(81,1),(104,1),(105,1)}
        91:{1,6,7}:{(72,1),(74,1),(107,1),(137,1)}
        92:{2,5,7}:{(72,1),(73,1),(75,1),(107,1),(108,1)}
        93:{1,4,7}:{(73,1),(76,1),(77,1),(105,1),(108,1),(137,1)}
        94:{1,5,6}:{(74,1),(75,1),(82,1),(107,1),(109,1)}
        95:{2,4,6}:{(75,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{1,5,7}:{(91,1),(92,1),(94,1),(118,1)}
       108:{2,4,7}:{(92,1),(93,1),(95,1),(118,1),(119,1),(132,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(118,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(119,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{3,7}:{(108,1),(110,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(126,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 259 :   0:{2,4,5,6}:{(1,1),(2,1),(3,1),(14,1),(18,1),(114,1),(138,1),(139,1),(211,1),(312,1),(323,1),(426,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(38,1),(76,1),(174,1),(184,1),(255,1),(279,1)}
         2:{3,5,6}:{(0,1),(7,1),(9,1),(158,1),(260,1),(378,1)}
         3:{2,4,5,7}:{(0,1),(6,1),(9,1),(10,1),(32,1),(39,1),(103,1),(104,1),(159,1),(263,1),(380,1)}
         4:{2,4,5,6}:{(1,1),(11,1),(12,1),(14,1),(46,1),(65,1),(147,1),(202,1),(203,1),(235,1),(246,1),(349,1)}
         5:{1,3,5,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(222,1),(335,1)}
         6:{1,4,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(57,1),(66,1),(115,1),(146,1),(210,1)}
         7:{3,4,6}:{(2,1),(17,1),(18,1),(19,1),(426,1)}
         8:{2,3,5,6}:{(2,1),(14,1),(18,1),(20,1),(21,1),(53,1),(59,1),(134,1),(138,1)}
         9:{3,5,7}:{(2,1),(3,1),(19,1),(22,1),(208,1)}
        10:{2,4,6,7}:{(3,1),(16,1),(22,1),(23,1),(58,1),(72,1),(323,1)}
        11:{3,5,6}:{(4,1),(24,1),(26,1),(100,1),(189,1),(299,1)}
        12:{2,4,5,7}:{(4,1),(6,1),(26,1),(27,1),(32,1),(77,1),(101,1),(161,1),(162,1),(192,1),(301,1)}
        13:{1,3,4,6}:{(5,1),(7,1),(24,1),(28,1),(29,1),(30,1),(38,1),(76,1),(85,1),(100,1),(158,1)}
        14:{2,5,6}:{(5,1),(29,1),(31,1),(32,1),(274,1),(392,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(9,1),(26,1),(30,1),(32,1),(33,1)}
        16:{1,4,6,7}:{(6,1),(10,1),(27,1),(33,1),(34,1),(91,1),(279,1)}
        17:{3,4,5}:{(7,1),(35,1),(260,1),(395,1),(473,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1),(39,1)}
        19:{3,4,7}:{(7,1),(9,1),(39,1),(380,1)}
        20:{1,3,5,6}:{(8,1),(31,1),(38,1),(41,1),(42,1),(85,1),(92,1),(100,1),(180,1),(184,1),(291,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(32,1),(39,1),(42,1),(43,1),(86,1),(103,1)}
        22:{3,6,7}:{(9,1),(10,1),(378,1)}
        23:{2,5,6,7}:{(10,1),(34,1),(44,1),(103,1),(263,1),(382,1)}
        24:{3,4,6}:{(11,1),(45,1),(46,1),(47,1),(349,1)}
        25:{2,3,5,6}:{(11,1),(14,1),(46,1),(48,1),(49,1),(53,1),(108,1),(198,1),(202,1)}
        26:{3,5,7}:{(11,1),(12,1),(47,1),(50,1),(144,1)}
        27:{2,4,6,7}:{(12,1),(16,1),(50,1),(51,1),(58,1),(121,1),(246,1)}
        28:{1,3,4,5}:{(13,1),(17,1),(45,1),(52,1),(60,1),(109,1),(123,1),(135,1),(199,1),(217,1),(222,1)}
        29:{2,4,6}:{(13,1),(14,1),(52,1),(53,1),(54,1),(55,1),(125,1)}
        30:{1,3,4,7}:{(13,1),(15,1),(19,1),(47,1),(55,1),(66,1),(115,1),(126,1),(144,1),(208,1)}
        31:{1,5,6}:{(14,1),(54,1),(57,1),(330,1),(443,1)}
        32:{2,5,7}:{(14,1),(15,1),(55,1),(57,1),(58,1)}
        33:{1,3,6,7}:{(15,1),(16,1),(22,1),(50,1),(58,1),(335,1)}
        34:{1,5,6,7}:{(16,1),(23,1),(51,1),(146,1),(210,1),(337,1)}
        35:{2,4,5}:{(17,1),(18,1),(59,1),(60,1),(338,1)}
        36:{3,4,5,7}:{(17,1),(19,1),(61,1),(62,1),(68,1),(319,1),(435,1),(446,1),(517,1)}
        37:{2,3,4,6}:{(18,1),(53,1),(59,1),(63,1),(64,1),(122,1),(134,1),(207,1),(220,1),(236,1),(338,1),(449,1)}
        38:{1,4,6}:{(18,1),(20,1),(60,1),(65,1),(66,1),(349,1)}
        39:{2,4,7}:{(18,1),(19,1),(21,1),(66,1)}
        40:{3,4,6,7}:{(19,1),(22,1),(62,1),(67,1),(68,1),(72,1)}
        41:{2,5,6}:{(20,1),(65,1),(70,1),(125,1),(132,1),(231,1)}
        42:{1,3,5,7}:{(20,1),(21,1),(57,1),(66,1),(70,1),(71,1),(126,1),(144,1),(146,1),(244,1)}
        43:{2,3,6,7}:{(21,1),(22,1),(58,1),(67,1),(71,1),(134,1)}
        44:{3,5,6,7}:{(22,1),(23,1),(68,1),(72,1),(321,1),(434,1)}
        45:{3,4,5}:{(24,1),(73,1),(189,1),(407,1),(461,1)}
        46:{2,4,6}:{(24,1),(25,1),(73,1),(76,1),(77,1)}
        47:{3,4,7}:{(24,1),(26,1),(77,1),(301,1)}
        48:{1,3,5,6}:{(25,1),(31,1),(76,1),(79,1),(80,1),(85,1),(150,1),(158,1),(251,1),(255,1),(370,1)}
        49:{2,3,5,7}:{(25,1),(26,1),(32,1),(77,1),(80,1),(81,1),(86,1),(161,1)}
        50:{3,6,7}:{(26,1),(27,1),(299,1)}
        51:{2,5,6,7}:{(27,1),(34,1),(82,1),(161,1),(192,1),(303,1)}
        52:{2,4,5}:{(28,1),(29,1),(83,1),(84,1),(167,1),(270,1),(274,1)}
        53:{2,3,6}:{(29,1),(83,1),(85,1),(86,1),(100,1),(158,1)}
        54:{1,4,6}:{(29,1),(31,1),(84,1),(85,1),(88,1)}
        55:{2,4,7}:{(29,1),(30,1),(32,1),(86,1),(88,1),(171,1)}
        56:{1,2,5,6}:{(31,1),(41,1),(79,1),(87,1),(89,1),(90,1),(169,1),(177,1),(248,1),(274,1),(284,1),(363,1),(389,1),(392,1),(408,1),(474,1)}
        57:{1,5,7}:{(31,1),(32,1),(88,1),(91,1)}
        58:{2,6,7}:{(32,1),(33,1),(91,1),(392,1)}
        59:{2,3,5}:{(35,1),(37,1),(92,1),(260,1),(274,1),(491,1)}
        60:{1,4,5}:{(35,1),(38,1),(92,1),(94,1),(282,1),(407,1)}
        61:{2,4,5,7}:{(35,1),(36,1),(39,1),(93,1),(95,1),(96,1),(103,1),(397,1),(491,1)}
        62:{3,4,6}:{(36,1),(96,1),(97,1),(378,1),(480,1)}
        63:{1,3,4,6}:{(37,1),(38,1),(85,1),(92,1),(98,1),(99,1),(100,1),(166,1),(180,1),(181,1),(185,1),(272,1),(282,1),(290,1),(401,1)}
        64:{2,3,4,7}:{(37,1),(39,1),(86,1),(93,1),(99,1),(261,1),(275,1),(293,1),(397,1)}
        65:{2,4,6}:{(38,1),(41,1),(94,1),(100,1),(101,1)}
        66:{1,4,7}:{(38,1),(39,1),(42,1),(101,1),(301,1)}
        67:{2,4,6,7}:{(39,1),(40,1),(43,1),(96,1),(102,1),(103,1)}
        68:{3,5,7}:{(40,1),(97,1),(103,1),(104,1)}
        69:{2,3,5,6}:{(41,1),(89,1),(100,1),(105,1),(106,1),(170,1),(178,1),(189,1),(274,1),(287,1),(291,1),(299,1),(303,1),(360,1),(392,1),(404,1),(464,1),(474,1),(521,1),(526,1),(546,1)}
        70:{2,5,7}:{(41,1),(42,1),(101,1),(107,1),(171,1)}
        71:{1,3,6,7}:{(42,1),(43,1),(91,1),(102,1),(107,1),(180,1),(191,1)}
        72:{4,6,7}:{(44,1),(104,1),(380,1),(480,1)}
        73:{2,4,5}:{(45,1),(46,1),(108,1),(109,1),(415,1)}
        74:{3,4,5,7}:{(45,1),(47,1),(110,1),(111,1),(117,1),(242,1),(358,1),(498,1),(539,1)}
        75:{2,3,4,6}:{(46,1),(53,1),(108,1),(112,1),(113,1),(122,1),(143,1),(198,1),(220,1),(313,1),(415,1),(501,1)}
        76:{1,4,6}:{(46,1),(48,1),(109,1),(114,1),(115,1),(426,1)}
        77:{2,4,7}:{(46,1),(47,1),(49,1),(115,1)}
        78:{3,4,6,7}:{(47,1),(50,1),(111,1),(116,1),(117,1),(121,1)}
        79:{2,5,6}:{(48,1),(114,1),(119,1),(125,1),(196,1),(308,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(57,1),(115,1),(119,1),(120,1),(126,1),(208,1),(210,1),(321,1)}
        81:{2,3,6,7}:{(49,1),(50,1),(58,1),(116,1),(120,1),(198,1)}
        82:{3,5,6,7}:{(50,1),(51,1),(117,1),(121,1),(244,1),(357,1)}
        83:{2,3,5}:{(52,1),(53,1),(122,1),(123,1),(135,1),(199,1)}
        84:{1,4,5}:{(52,1),(54,1),(123,1),(327,1),(330,1)}
        85:{1,3,6}:{(53,1),(54,1),(123,1),(125,1),(126,1)}
        86:{2,3,7}:{(53,1),(55,1),(126,1),(144,1),(208,1)}
        87:{1,2,4,6}:{(54,1),(56,1),(65,1),(114,1),(124,1),(125,1),(127,1),(128,1),(129,1),(220,1),(440,1),(447,1),(499,1),(513,1)}
        88:{1,4,7}:{(54,1),(55,1),(57,1),(126,1)}
        89:{1,3,5,6}:{(56,1),(69,1),(118,1),(127,1),(129,1),(130,1),(218,1),(222,1),(227,1),(304,1),(330,1),(335,1),(337,1),(342,1),(419,1),(443,1),(452,1),(504,1)}
        90:{1,2,5,7}:{(56,1),(57,1),(70,1),(119,1),(128,1),(130,1),(131,1),(219,1),(333,1),(442,1),(457,1),(509,1)}
        91:{1,6,7}:{(57,1),(58,1),(443,1)}
        92:{1,3,5}:{(59,1),(60,1),(63,1),(132,1),(135,1),(330,1),(348,1),(452,1)}
        93:{2,3,5,7}:{(59,1),(61,1),(64,1),(133,1),(134,1),(319,1),(333,1)}
        94:{2,4,5}:{(60,1),(65,1),(132,1),(135,1),(229,1)}
        95:{1,4,5,7}:{(60,1),(61,1),(66,1),(133,1),(136,1),(137,1),(146,1),(341,1),(452,1)}
        96:{2,4,6}:{(61,1),(62,1),(134,1),(137,1),(138,1)}
        97:{3,5,6}:{(62,1),(68,1),(138,1),(139,1),(517,1)}
        98:{2,4,6}:{(63,1),(125,1),(132,1),(141,1),(142,1),(214,1),(229,1),(231,1)}
        99:{1,3,4,7}:{(63,1),(64,1),(66,1),(126,1),(133,1),(142,1),(144,1),(233,1),(238,1),(331,1),(341,1)}
       100:{3,6}:{(65,1),(135,1),(144,1)}
       101:{2,4,7}:{(65,1),(66,1),(70,1),(144,1)}
       102:{1,4,6,7}:{(66,1),(67,1),(71,1),(137,1),(145,1),(146,1)}
       103:{2,5,7}:{(67,1),(68,1),(138,1),(146,1)}
       104:{4,5,7}:{(68,1),(72,1),(139,1)}
       105:{2,4,6}:{(69,1),(129,1),(143,1),(147,1),(148,1),(229,1),(349,1),(415,1),(551,1)}
       106:{2,3,5,7}:{(69,1),(70,1),(130,1),(144,1),(148,1),(149,1),(221,1),(242,1),(244,1),(247,1),(333,1),(509,1),(537,1),(550,1)}
       107:{2,6,7}:{(70,1),(71,1),(231,1)}
       108:{2,3,5}:{(73,1),(75,1),(150,1),(189,1),(274,1),(526,1)}
       109:{1,4,5}:{(73,1),(76,1),(150,1),(152,1),(361,1),(473,1)}
       110:{2,4,5,7}:{(73,1),(74,1),(77,1),(151,1),(153,1),(154,1),(161,1),(463,1),(526,1)}
       111:{3,4,6}:{(74,1),(154,1),(155,1),(299,1),(414,1)}
       112:{1,3,4,6}:{(75,1),(76,1),(85,1),(150,1),(156,1),(157,1),(158,1),(166,1),(251,1),(252,1),(256,1),(272,1),(361,1),(369,1),(467,1)}
       113:{2,3,4,7}:{(75,1),(77,1),(86,1),(151,1),(157,1),(190,1),(275,1),(372,1),(463,1)}
       114:{2,4,6}:{(76,1),(79,1),(152,1),(158,1),(159,1)}
       115:{1,4,7}:{(76,1),(77,1),(80,1),(159,1),(380,1)}
       116:{2,4,6,7}:{(77,1),(78,1),(81,1),(154,1),(160,1),(161,1)}
       117:{3,5,7}:{(78,1),(155,1),(161,1),(162,1)}
       118:{2,3,5,6}:{(79,1),(89,1),(158,1),(163,1),(164,1),(170,1),(249,1),(260,1),(274,1),(281,1),(366,1),(370,1),(378,1),(382,1),(392,1),(398,1),(408,1),(470,1),(486,1),(491,1),(534,1)}
       119:{2,5,7}:{(79,1),(80,1),(159,1),(165,1),(171,1)}
       120:{1,3,6,7}:{(80,1),(81,1),(91,1),(160,1),(165,1),(251,1),(262,1)}
       121:{4,6,7}:{(82,1),(162,1),(301,1),(414,1)}
       122:{2,3,4}:{(83,1),(166,1),(181,1),(252,1),(270,1),(383,1)}
       123:{1,3,5}:{(83,1),(84,1),(85,1),(166,1),(167,1)}
       124:{1,2,4,5}:{(84,1),(87,1),(94,1),(152,1),(167,1),(168,1),(174,1),(177,1),(248,1),(267,1),(270,1),(274,1),(282,1),(361,1),(386,1),(396,1),(462,1),(481,1)}
       125:{2,6}:{(85,1),(167,1),(171,1)}
       126:{1,3,7}:{(85,1),(86,1),(88,1),(171,1)}
       127:{1,3,6}:{(87,1),(100,1),(158,1),(168,1),(170,1),(173,1),(486,1),(521,1)}
       128:{1,2,4,7}:{(87,1),(88,1),(90,1),(101,1),(159,1),(171,1),(173,1),(175,1),(275,1),(484,1),(489,1),(524,1),(532,1)}
       129:{1,4,6}:{(89,1),(105,1),(163,1),(174,1),(175,1),(282,1),(361,1)}
       130:{1,3,5,7}:{(89,1),(90,1),(106,1),(164,1),(173,1),(175,1),(176,1),(273,1),(280,1),(390,1)}
       131:{1,2,6,7}:{(90,1),(91,1),(107,1),(165,1),(176,1),(284,1),(363,1),(392,1),(485,1),(496,1),(531,1)}
       132:{2,5}:{(92,1),(98,1)}
       133:{1,3,5,7}:{(92,1),(93,1),(95,1),(99,1),(179,1),(180,1),(182,1),(390,1)}
       134:{2,3,6}:{(93,1),(96,1),(180,1),(378,1),(392,1)}
       135:{3,5}:{(94,1),(100,1),(181,1)}
       136:{2,4,5,7}:{(94,1),(95,1),(101,1),(179,1),(182,1),(183,1),(192,1),(286,1),(301,1),(404,1),(407,1)}
       137:{1,4,6}:{(95,1),(96,1),(180,1),(183,1),(184,1)}
       138:{2,5,6}:{(96,1),(97,1),(103,1),(184,1),(491,1)}
       139:{4,5,6}:{(97,1),(104,1),(480,1),(535,1)}
       140:{1,2,4,6}:{(98,1),(169,1),(177,1),(185,1),(186,1),(267,1),(272,1),(282,1),(284,1),(292,1),(401,1)}
       141:{2,3,6}:{(98,1),(100,1),(178,1),(185,1),(188,1),(268,1)}
       142:{2,4,7}:{(98,1),(99,1),(171,1),(179,1),(188,1)}
       143:{3,4,6}:{(100,1),(105,1),(181,1),(189,1),(190,1),(299,1),(461,1),(521,1)}
       144:{3,7}:{(100,1),(101,1)}
       145:{2,4,6,7}:{(101,1),(102,1),(107,1),(183,1),(191,1),(192,1),(301,1)}
       146:{1,5,7}:{(102,1),(103,1),(184,1),(192,1)}
       147:{2,4,5}:{(105,1),(174,1),(189,1),(274,1),(404,1),(407,1),(526,1),(547,1)}
       148:{2,4,7}:{(105,1),(106,1),(175,1),(190,1),(301,1),(552,1)}
       149:{2,3,6,7}:{(106,1),(107,1),(176,1),(191,1),(195,1),(287,1),(299,1),(392,1),(464,1),(531,1),(545,1)}
       150:{1,3,5}:{(108,1),(109,1),(112,1),(196,1),(199,1),(330,1),(425,1),(504,1)}
       151:{2,3,5,7}:{(108,1),(110,1),(113,1),(197,1),(198,1),(242,1),(333,1)}
       152:{2,4,5}:{(109,1),(114,1),(196,1),(199,1),(306,1)}
       153:{1,4,5,7}:{(109,1),(110,1),(115,1),(197,1),(200,1),(201,1),(210,1),(418,1),(504,1)}
       154:{2,4,6}:{(110,1),(111,1),(198,1),(201,1),(202,1)}
       155:{3,5,6}:{(111,1),(117,1),(202,1),(203,1),(539,1)}
       156:{2,4,6}:{(112,1),(125,1),(196,1),(205,1),(206,1),(214,1),(306,1),(308,1)}
       157:{1,3,4,7}:{(112,1),(113,1),(115,1),(126,1),(197,1),(206,1),(208,1),(310,1),(315,1),(331,1),(418,1)}
       158:{3,6}:{(114,1),(199,1),(208,1)}
       159:{2,4,7}:{(114,1),(115,1),(119,1),(208,1)}
       160:{1,4,6,7}:{(115,1),(116,1),(120,1),(201,1),(209,1),(210,1)}
       161:{2,5,7}:{(116,1),(117,1),(202,1),(210,1)}
       162:{4,5,7}:{(117,1),(121,1),(203,1)}
       163:{2,4,6}:{(118,1),(129,1),(207,1),(211,1),(212,1),(306,1),(338,1),(426,1),(544,1)}
       164:{2,3,5,7}:{(118,1),(119,1),(130,1),(208,1),(212,1),(213,1),(221,1),(319,1),(321,1),(324,1),(333,1),(457,1),(515,1),(543,1)}
       165:{2,6,7}:{(119,1),(120,1),(308,1)}
       166:{1,3,4}:{(122,1),(123,1),(214,1),(325,1),(327,1)}
       167:{2,5}:{(123,1),(125,1),(214,1)}
       168:{1,3,5}:{(124,1),(127,1),(135,1),(199,1),(216,1),(217,1),(325,1),(445,1),(497,1)}
       169:{1,2,6}:{(125,1),(215,1),(218,1),(219,1),(513,1)}
       170:{2,3,6}:{(125,1),(127,1),(216,1),(218,1),(220,1),(221,1),(513,1)}
       171:{2,7}:{(125,1),(126,1)}
       172:{1,3,4,6}:{(127,1),(129,1),(143,1),(207,1),(217,1),(220,1),(222,1),(223,1),(335,1)}
       173:{1,3,7}:{(127,1),(128,1),(144,1),(208,1),(221,1),(515,1),(537,1)}
       174:{1,4,5}:{(129,1),(147,1),(211,1),(222,1),(330,1),(452,1),(504,1)}
       175:{1,4,7}:{(129,1),(130,1),(148,1),(212,1)}
       176:{1,3,6,7}:{(130,1),(131,1),(149,1),(213,1),(226,1),(335,1),(342,1),(419,1),(443,1)}
       177:{1,2,5}:{(132,1),(140,1),(227,1),(330,1),(350,1),(452,1)}
       178:{2,3,5}:{(132,1),(135,1),(141,1),(227,1),(229,1)}
       179:{2,5,7}:{(132,1),(133,1),(142,1),(231,1)}
       180:{1,3,6}:{(133,1),(134,1),(137,1),(231,1),(234,1),(443,1)}
       181:{3,4}:{(135,1),(229,1)}
       182:{3,5,7}:{(135,1),(136,1),(144,1),(233,1),(234,1),(348,1)}
       183:{2,4,6}:{(136,1),(137,1),(231,1),(234,1),(235,1),(349,1)}
       184:{1,5,6}:{(137,1),(138,1),(146,1),(235,1),(452,1)}
       185:{1,3,6}:{(140,1),(141,1),(227,1),(236,1),(238,1),(325,1)}
       186:{1,2,4,7}:{(140,1),(142,1),(219,1),(228,1),(238,1),(331,1),(341,1),(351,1)}
       187:{2,3,4,6}:{(141,1),(143,1),(220,1),(229,1),(237,1),(239,1),(240,1),(326,1),(343,1),(345,1),(355,1),(439,1)}
       188:{2,3,7}:{(141,1),(142,1),(144,1),(238,1)}
       189:{3,5}:{(143,1),(147,1)}
       190:{3,4,7}:{(143,1),(144,1),(148,1),(242,1),(537,1)}
       191:{3,6,7}:{(144,1),(145,1),(234,1),(244,1)}
       192:{2,5,7}:{(145,1),(146,1),(235,1),(244,1)}
       193:{2,4,5,6}:{(147,1),(224,1),(241,1),(245,1),(246,1),(332,1),(343,1),(454,1),(456,1),(499,1),(541,1),(551,1)}
       194:{2,4,5,7}:{(147,1),(148,1),(225,1),(242,1),(246,1),(247,1),(333,1),(358,1)}
       195:{2,4,6,7}:{(148,1),(149,1),(226,1),(243,1),(246,1),(247,1),(345,1),(501,1)}
       196:{2,5}:{(150,1),(156,1)}
       197:{1,3,5,7}:{(150,1),(151,1),(153,1),(157,1),(250,1),(251,1),(253,1),(390,1)}
       198:{2,3,6}:{(151,1),(154,1),(251,1),(299,1),(392,1)}
       199:{3,5}:{(152,1),(158,1),(252,1)}
       200:{2,4,5,7}:{(152,1),(153,1),(159,1),(250,1),(253,1),(254,1),(263,1),(365,1),(380,1),(470,1),(473,1)}
       201:{1,4,6}:{(153,1),(154,1),(251,1),(254,1),(255,1)}
       202:{2,5,6}:{(154,1),(155,1),(161,1),(255,1),(526,1)}
       203:{4,5,6}:{(155,1),(162,1),(414,1),(547,1)}
       204:{1,2,4,6}:{(156,1),(169,1),(248,1),(256,1),(257,1),(267,1),(272,1),(361,1),(363,1),(371,1),(467,1)}
       205:{2,3,6}:{(156,1),(158,1),(249,1),(256,1),(259,1),(268,1)}
       206:{2,4,7}:{(156,1),(157,1),(171,1),(250,1),(259,1)}
       207:{3,4,6}:{(158,1),(163,1),(252,1),(260,1),(261,1),(378,1),(395,1),(486,1)}
       208:{3,7}:{(158,1),(159,1)}
       209:{2,4,6,7}:{(159,1),(160,1),(165,1),(254,1),(262,1),(263,1),(380,1)}
       210:{1,5,7}:{(160,1),(161,1),(255,1),(263,1)}
       211:{2,4,5}:{(163,1),(174,1),(260,1),(274,1),(470,1),(473,1),(491,1),(535,1)}
       212:{2,4,7}:{(163,1),(164,1),(175,1),(261,1),(380,1),(549,1)}
       213:{2,3,6,7}:{(164,1),(165,1),(176,1),(262,1),(266,1),(366,1),(378,1),(392,1),(398,1),(496,1),(533,1)}
       214:{2,4}:{(166,1),(167,1),(268,1)}
       215:{1,2,5}:{(167,1),(169,1),(267,1),(269,1),(481,1)}
       216:{2,3,5}:{(167,1),(168,1),(170,1),(268,1),(269,1),(270,1),(274,1),(383,1),(481,1)}
       217:{1,3,4}:{(168,1),(181,1),(252,1),(270,1),(282,1),(361,1),(395,1),(461,1)}
       218:{1,3,6}:{(169,1),(170,1),(269,1),(272,1),(273,1)}
       219:{1,2,7}:{(169,1),(171,1),(273,1),(532,1)}
       220:{2,4,6}:{(170,1),(172,1),(270,1),(272,1),(274,1),(275,1),(392,1)}
       221:{2,3,7}:{(170,1),(171,1),(173,1),(273,1),(275,1),(532,1)}
       222:{1,3,5}:{(172,1),(174,1),(189,1),(260,1),(274,1)}
       223:{1,3,4,7}:{(172,1),(173,1),(175,1),(190,1),(261,1),(275,1),(277,1)}
       224:{1,4,5,6}:{(174,1),(193,1),(264,1),(276,1),(278,1),(279,1),(389,1),(399,1),(465,1),(493,1),(528,1)}
       225:{1,4,5,7}:{(174,1),(175,1),(194,1),(265,1),(277,1),(279,1),(280,1),(390,1)}
       226:{1,4,6,7}:{(175,1),(176,1),(195,1),(266,1),(279,1),(280,1),(401,1),(467,1)}
       227:{1,3,5}:{(177,1),(178,1),(185,1),(281,1),(282,1)}
       228:{1,2,5,7}:{(177,1),(179,1),(186,1),(283,1),(284,1),(390,1),(409,1)}
       229:{2,4}:{(178,1),(181,1),(282,1)}
       230:{2,3,5,7}:{(178,1),(179,1),(182,1),(188,1),(283,1),(286,1),(287,1),(404,1)}
       231:{2,6}:{(179,1),(180,1)}
       232:{3,4,5}:{(181,1),(189,1),(285,1),(288,1),(547,1)}
       233:{3,4,7}:{(181,1),(182,1),(286,1),(290,1),(301,1)}
       234:{3,6}:{(182,1),(183,1)}
       235:{2,5,6}:{(183,1),(184,1),(192,1),(291,1),(404,1)}
       236:{2,3,6}:{(185,1),(281,1),(292,1),(293,1),(383,1),(486,1)}
       237:{1,3,4,6}:{(185,1),(187,1),(272,1),(282,1),(292,1),(294,1),(295,1),(384,1),(395,1),(399,1),(401,1),(411,1),(482,1),(486,1),(488,1)}
       238:{1,3,7}:{(185,1),(186,1),(188,1),(293,1)}
       239:{2,3,5}:{(187,1),(189,1),(274,1),(285,1),(294,1),(404,1)}
       240:{2,3,4,7}:{(187,1),(188,1),(190,1),(275,1),(286,1),(295,1),(297,1),(402,1),(483,1)}
       241:{3,5,6}:{(189,1),(193,1),(288,1),(298,1),(299,1),(521,1)}
       242:{3,5,7}:{(189,1),(190,1),(194,1),(299,1)}
       243:{3,4,6,7}:{(190,1),(191,1),(195,1),(290,1),(299,1),(300,1),(301,1),(414,1),(523,1),(545,1),(552,1)}
       244:{3,5,7}:{(191,1),(192,1),(291,1),(301,1)}
       245:{2,4,5,7}:{(193,1),(278,1),(298,1),(302,1),(391,1),(402,1),(494,1),(495,1),(524,1),(548,1),(552,1)}
       246:{2,4,6}:{(194,1),(279,1),(299,1),(303,1),(392,1),(414,1)}
       247:{2,5,7}:{(195,1),(280,1),(300,1),(303,1),(404,1),(526,1)}
       248:{1,2,5}:{(196,1),(204,1),(304,1),(330,1),(427,1),(504,1)}
       249:{2,3,5}:{(196,1),(199,1),(205,1),(304,1),(306,1)}
       250:{2,5,7}:{(196,1),(197,1),(206,1),(308,1)}
       251:{1,3,6}:{(197,1),(198,1),(201,1),(308,1),(311,1),(443,1)}
       252:{3,4}:{(199,1),(306,1)}
       253:{3,5,7}:{(199,1),(200,1),(208,1),(310,1),(311,1),(425,1)}
       254:{2,4,6}:{(200,1),(201,1),(308,1),(311,1),(312,1),(426,1)}
       255:{1,5,6}:{(201,1),(202,1),(210,1),(312,1),(504,1)}
       256:{1,3,6}:{(204,1),(205,1),(304,1),(313,1),(315,1),(325,1)}
       257:{1,2,4,7}:{(204,1),(206,1),(219,1),(305,1),(315,1),(331,1),(418,1),(428,1)}
       258:{2,3,4,6}:{(205,1),(207,1),(220,1),(306,1),(314,1),(316,1),(317,1),(326,1),(420,1),(422,1),(432,1),(439,1)}
       259:{2,3,7}:{(205,1),(206,1),(208,1),(315,1)}
       260:{3,5}:{(207,1),(211,1)}
       261:{3,4,7}:{(207,1),(208,1),(212,1),(319,1),(515,1)}
       262:{3,6,7}:{(208,1),(209,1),(311,1),(321,1)}
       263:{2,5,7}:{(209,1),(210,1),(312,1),(321,1)}
       264:{2,4,5,6}:{(211,1),(224,1),(318,1),(322,1),(323,1),(332,1),(420,1),(447,1),(506,1),(508,1),(519,1),(544,1)}
       265:{2,4,5,7}:{(211,1),(212,1),(225,1),(319,1),(323,1),(324,1),(333,1),(435,1)}
       266:{2,4,6,7}:{(212,1),(213,1),(226,1),(320,1),(323,1),(324,1),(422,1),(449,1)}
       267:{1,2,4}:{(214,1),(215,1),(325,1),(327,1),(437,1)}
       268:{2,3}:{(214,1),(325,1)}
       269:{1,3,5}:{(215,1),(216,1),(218,1),(325,1),(327,1),(330,1)}
       270:{2,4}:{(216,1),(217,1),(327,1)}
       271:{1,3,4,5}:{(217,1),(222,1),(232,1),(309,1),(328,1),(329,1),(340,1),(417,1),(438,1),(445,1),(497,1)}
       272:{1,4,6}:{(218,1),(220,1),(327,1),(330,1),(331,1),(443,1)}
       273:{1,3,7}:{(218,1),(219,1),(221,1),(331,1)}
       274:{2,5}:{(220,1),(222,1),(330,1)}
       275:{2,4,7}:{(220,1),(221,1),(223,1),(331,1),(333,1)}
       276:{1,3,5,6}:{(222,1),(224,1),(241,1),(318,1),(329,1),(332,1),(334,1),(335,1)}
       277:{1,3,5,7}:{(222,1),(223,1),(225,1),(242,1),(319,1),(333,1),(335,1)}
       278:{1,4,5,7}:{(224,1),(245,1),(322,1),(334,1),(336,1),(442,1),(450,1),(502,1),(520,1),(542,1)}
       279:{1,4,6}:{(225,1),(246,1),(323,1),(335,1),(337,1),(443,1)}
       280:{1,5,7}:{(226,1),(247,1),(324,1),(337,1),(452,1),(504,1)}
       281:{2,3,5}:{(227,1),(236,1),(338,1),(350,1),(445,1)}
       282:{1,4}:{(227,1),(229,1),(338,1)}
       283:{1,3,5,7}:{(227,1),(228,1),(230,1),(238,1),(339,1),(341,1),(342,1),(452,1)}
       284:{1,2,6}:{(228,1),(231,1),(342,1),(443,1),(458,1)}
       285:{2,4,5}:{(229,1),(232,1),(239,1),(340,1),(343,1)}
       286:{2,4,7}:{(229,1),(230,1),(233,1),(341,1),(345,1)}
       287:{2,3,6}:{(230,1),(231,1),(234,1),(342,1),(345,1)}
       288:{3,4,6}:{(232,1),(241,1),(343,1),(346,1),(551,1)}
       289:{3,4,5,7}:{(232,1),(233,1),(242,1),(344,1),(346,1),(347,1),(348,1),(358,1),(455,1)}
       290:{3,4,6}:{(233,1),(234,1),(345,1),(348,1),(349,1)}
       291:{3,5,6}:{(234,1),(235,1),(244,1),(348,1),(349,1)}
       292:{2,4,6}:{(236,1),(237,1),(338,1),(350,1),(351,1),(437,1),(458,1),(513,1)}
       293:{2,3,7}:{(236,1),(238,1),(351,1),(515,1)}
       294:{1,3,5}:{(237,1),(239,1),(330,1),(340,1),(350,1),(445,1),(452,1),(517,1)}
       295:{1,3,4,7}:{(237,1),(238,1),(240,1),(331,1),(341,1),(351,1),(353,1),(446,1),(450,1),(514,1),(515,1)}
       296:{2,3,5,6}:{(239,1),(241,1),(332,1),(343,1),(352,1),(354,1),(355,1),(439,1),(454,1)}
       297:{2,3,5,7}:{(239,1),(240,1),(242,1),(333,1),(344,1),(353,1),(355,1)}
       298:{3,5,7}:{(241,1),(245,1),(346,1),(356,1),(537,1)}
       299:{3,6}:{(242,1),(246,1)}
       300:{3,5,7}:{(243,1),(247,1),(348,1),(357,1),(358,1),(539,1)}
       301:{4,7}:{(244,1),(349,1)}
       302:{2,4,6,7}:{(245,1),(246,1),(336,1),(356,1),(359,1),(444,1),(460,1)}
       303:{2,5,6}:{(246,1),(247,1),(337,1),(357,1)}
       304:{1,3,5}:{(248,1),(249,1),(256,1),(360,1),(361,1)}
       305:{1,2,5,7}:{(248,1),(250,1),(257,1),(362,1),(363,1),(390,1),(475,1)}
       306:{2,4}:{(249,1),(252,1),(361,1)}
       307:{2,3,5,7}:{(249,1),(250,1),(253,1),(259,1),(362,1),(365,1),(366,1),(470,1)}
       308:{2,6}:{(250,1),(251,1)}
       309:{3,4,5}:{(252,1),(260,1),(364,1),(367,1),(535,1)}
       310:{3,4,7}:{(252,1),(253,1),(365,1),(369,1),(380,1)}
       311:{3,6}:{(253,1),(254,1)}
       312:{2,5,6}:{(254,1),(255,1),(263,1),(370,1),(470,1)}
       313:{2,3,6}:{(256,1),(360,1),(371,1),(372,1),(383,1),(521,1)}
       314:{1,3,4,6}:{(256,1),(258,1),(272,1),(361,1),(371,1),(373,1),(374,1),(384,1),(461,1),(465,1),(467,1),(477,1),(482,1),(521,1),(523,1)}
       315:{1,3,7}:{(256,1),(257,1),(259,1),(372,1)}
       316:{2,3,5}:{(258,1),(260,1),(274,1),(364,1),(373,1),(470,1)}
       317:{2,3,4,7}:{(258,1),(259,1),(261,1),(275,1),(365,1),(374,1),(376,1),(468,1),(483,1)}
       318:{3,5,6}:{(260,1),(264,1),(367,1),(377,1),(378,1),(486,1)}
       319:{3,5,7}:{(260,1),(261,1),(265,1),(378,1)}
       320:{3,4,6,7}:{(261,1),(262,1),(266,1),(369,1),(378,1),(379,1),(380,1),(480,1),(488,1),(533,1),(549,1)}
       321:{3,5,7}:{(262,1),(263,1),(370,1),(380,1)}
       322:{2,4,5,7}:{(264,1),(278,1),(377,1),(381,1),(391,1),(468,1),(489,1),(529,1),(530,1),(536,1),(549,1)}
       323:{2,4,6}:{(265,1),(279,1),(378,1),(382,1),(392,1),(480,1)}
       324:{2,5,7}:{(266,1),(280,1),(379,1),(382,1),(470,1),(491,1)}
       325:{1,3}:{(267,1),(268,1),(383,1)}
       326:{2,3,4}:{(268,1),(270,1),(384,1),(385,1),(395,1),(461,1)}
       327:{1,4}:{(269,1),(270,1)}
       328:{2,4,5}:{(270,1),(271,1),(274,1),(385,1),(386,1),(387,1),(481,1)}
       329:{1,3,4,6}:{(271,1),(276,1),(288,1),(367,1),(387,1),(388,1),(399,1),(465,1),(482,1),(486,1),(521,1)}
       330:{1,5}:{(272,1),(274,1)}
       331:{1,4,7}:{(272,1),(273,1),(275,1),(390,1)}
       332:{2,5,6}:{(274,1),(276,1),(387,1),(389,1),(391,1),(392,1)}
       333:{2,5,7}:{(274,1),(275,1),(277,1),(390,1),(392,1)}
       334:{1,3,5,7}:{(276,1),(278,1),(298,1),(377,1),(388,1),(391,1),(393,1)}
       335:{1,3,6}:{(277,1),(279,1),(299,1),(378,1),(392,1)}
       336:{1,4,6,7}:{(278,1),(279,1),(302,1),(381,1),(393,1),(394,1),(485,1)}
       337:{1,5,6}:{(279,1),(280,1),(303,1),(382,1)}
       338:{2,4}:{(281,1),(282,1),(395,1)}
       339:{2,3,5,7}:{(281,1),(283,1),(293,1),(397,1),(398,1),(409,1),(487,1),(491,1)}
       340:{1,4,5}:{(282,1),(285,1),(294,1),(396,1),(399,1),(535,1)}
       341:{1,4,7}:{(282,1),(283,1),(286,1),(397,1),(401,1)}
       342:{1,3,6}:{(283,1),(284,1),(287,1),(398,1),(401,1)}
       343:{2,4,6}:{(285,1),(288,1),(296,1),(399,1),(402,1)}
       344:{2,4,5,7}:{(285,1),(286,1),(289,1),(297,1),(400,1),(402,1),(403,1),(404,1),(494,1)}
       345:{2,4,6}:{(286,1),(287,1),(290,1),(401,1),(404,1)}
       346:{3,4,7}:{(288,1),(298,1),(402,1),(552,1)}
       347:{3,4,6}:{(289,1),(299,1),(403,1),(406,1),(414,1)}
       348:{3,5}:{(290,1),(404,1),(407,1)}
       349:{4,6}:{(291,1),(301,1),(407,1)}
       350:{2,5}:{(292,1),(294,1)}
       351:{2,4,7}:{(292,1),(293,1),(295,1),(409,1),(532,1)}
       352:{1,3,5,6}:{(294,1),(296,1),(389,1),(399,1),(408,1),(410,1),(411,1),(482,1),(486,1),(493,1),(534,1)}
       353:{1,3,5,7}:{(294,1),(295,1),(297,1),(390,1),(400,1),(409,1),(411,1),(487,1)}
       354:{2,3,5,7}:{(296,1),(298,1),(391,1),(402,1),(410,1),(412,1),(483,1),(494,1)}
       355:{2,3,6}:{(297,1),(299,1),(392,1),(403,1),(411,1)}
       356:{3,6,7}:{(298,1),(299,1),(302,1)}
       357:{3,5,6}:{(299,1),(300,1),(303,1),(414,1)}
       358:{4,5,7}:{(300,1),(301,1),(407,1),(414,1),(547,1),(552,1)}
       359:{2,5,6,7}:{(302,1),(303,1),(394,1),(413,1),(494,1),(548,1)}
       360:{2,3,5}:{(304,1),(313,1),(415,1),(427,1),(497,1)}
       361:{1,4}:{(304,1),(306,1),(415,1)}
       362:{1,3,5,7}:{(304,1),(305,1),(307,1),(315,1),(416,1),(418,1),(419,1),(504,1)}
       363:{1,2,6}:{(305,1),(308,1),(419,1),(443,1),(510,1)}
       364:{2,4,5}:{(306,1),(309,1),(316,1),(417,1),(420,1)}
       365:{2,4,7}:{(306,1),(307,1),(310,1),(418,1),(422,1)}
       366:{2,3,6}:{(307,1),(308,1),(311,1),(419,1),(422,1)}
       367:{3,4,6}:{(309,1),(318,1),(420,1),(423,1),(544,1)}
       368:{3,4,5,7}:{(309,1),(310,1),(319,1),(421,1),(423,1),(424,1),(425,1),(435,1),(507,1)}
       369:{3,4,6}:{(310,1),(311,1),(422,1),(425,1),(426,1)}
       370:{3,5,6}:{(311,1),(312,1),(321,1),(425,1),(426,1)}
       371:{2,4,6}:{(313,1),(314,1),(415,1),(427,1),(428,1),(437,1),(510,1),(513,1)}
       372:{2,3,7}:{(313,1),(315,1),(428,1),(537,1)}
       373:{1,3,5}:{(314,1),(316,1),(330,1),(417,1),(427,1),(497,1),(504,1),(539,1)}
       374:{1,3,4,7}:{(314,1),(315,1),(317,1),(331,1),(418,1),(428,1),(430,1),(498,1),(502,1),(514,1),(537,1)}
       375:{2,3,5,6}:{(316,1),(318,1),(332,1),(420,1),(429,1),(431,1),(432,1),(439,1),(506,1)}
       376:{2,3,5,7}:{(316,1),(317,1),(319,1),(333,1),(421,1),(430,1),(432,1)}
       377:{3,5,7}:{(318,1),(322,1),(423,1),(433,1),(515,1)}
       378:{3,6}:{(319,1),(323,1)}
       379:{3,5,7}:{(320,1),(324,1),(425,1),(434,1),(435,1),(517,1)}
       380:{4,7}:{(321,1),(426,1)}
       381:{2,4,6,7}:{(322,1),(323,1),(336,1),(433,1),(436,1),(444,1),(512,1)}
       382:{2,5,6}:{(323,1),(324,1),(337,1),(434,1)}
       383:{2,3}:{(325,1),(437,1)}
       384:{1,3,4}:{(325,1),(326,1),(327,1),(437,1),(438,1)}
       385:{2,3,5}:{(326,1),(328,1),(438,1),(439,1),(445,1),(497,1)}
       386:{1,4,5}:{(327,1),(328,1),(330,1),(438,1),(440,1)}
       387:{2,4,6}:{(328,1),(329,1),(332,1),(439,1),(440,1),(441,1),(513,1)}
       388:{1,3,4,7}:{(329,1),(334,1),(346,1),(423,1),(441,1),(450,1),(502,1),(514,1),(515,1),(537,1)}
       389:{1,5,6}:{(330,1),(332,1),(440,1),(442,1),(443,1)}
       390:{1,5,7}:{(330,1),(331,1),(333,1),(443,1)}
       391:{2,5,7}:{(332,1),(334,1),(441,1),(442,1),(444,1)}
       392:{2,6}:{(333,1),(335,1),(443,1)}
       393:{1,3,6,7}:{(334,1),(335,1),(336,1),(356,1),(433,1),(444,1)}
       394:{1,5,6,7}:{(336,1),(337,1),(359,1),(436,1),(520,1),(542,1)}
       395:{3,4}:{(338,1),(445,1)}
       396:{2,4,5}:{(338,1),(340,1),(350,1),(445,1),(447,1)}
       397:{2,4,7}:{(338,1),(339,1),(341,1),(446,1),(449,1)}
       398:{2,3,6}:{(339,1),(342,1),(449,1),(458,1),(516,1)}
       399:{1,4,6}:{(340,1),(343,1),(352,1),(447,1),(450,1),(544,1)}
       400:{1,4,5,7}:{(340,1),(341,1),(344,1),(353,1),(448,1),(450,1),(451,1),(452,1),(520,1)}
       401:{1,4,6}:{(341,1),(342,1),(345,1),(449,1),(452,1)}
       402:{2,4,7}:{(343,1),(346,1),(354,1),(450,1)}
       403:{2,4,6}:{(344,1),(347,1),(355,1),(451,1),(454,1)}
       404:{2,5}:{(345,1),(348,1),(452,1)}
       405:{3,4,6,7}:{(346,1),(347,1),(356,1),(453,1),(455,1),(460,1)}
       406:{3,5,6}:{(347,1),(348,1),(454,1),(455,1),(456,1)}
       407:{4,5}:{(348,1),(349,1)}
       408:{2,5,6}:{(350,1),(352,1),(447,1),(457,1),(458,1),(513,1)}
       409:{2,5,7}:{(350,1),(351,1),(353,1),(458,1)}
       410:{1,3,5,7}:{(352,1),(354,1),(442,1),(450,1),(457,1),(459,1),(514,1),(515,1),(520,1),(543,1)}
       411:{1,3,6}:{(353,1),(355,1),(443,1),(451,1),(458,1),(516,1)}
       412:{2,3,6,7}:{(354,1),(355,1),(356,1),(444,1),(453,1),(459,1)}
       413:{3,5,6,7}:{(356,1),(357,1),(359,1),(455,1),(460,1),(550,1)}
       414:{4,6}:{(357,1),(358,1)}
       415:{2,4}:{(360,1),(361,1),(461,1)}
       416:{2,3,5,7}:{(360,1),(362,1),(372,1),(463,1),(464,1),(475,1),(522,1),(526,1)}
       417:{1,4,5}:{(361,1),(364,1),(373,1),(462,1),(465,1),(547,1)}
       418:{1,4,7}:{(361,1),(362,1),(365,1),(463,1),(467,1)}
       419:{1,3,6}:{(362,1),(363,1),(366,1),(464,1),(467,1)}
       420:{2,4,6}:{(364,1),(367,1),(375,1),(465,1),(468,1)}
       421:{2,4,5,7}:{(364,1),(365,1),(368,1),(376,1),(466,1),(468,1),(469,1),(470,1),(529,1)}
       422:{2,4,6}:{(365,1),(366,1),(369,1),(467,1),(470,1)}
       423:{3,4,7}:{(367,1),(377,1),(468,1),(549,1)}
       424:{3,4,6}:{(368,1),(378,1),(469,1),(472,1),(480,1)}
       425:{3,5}:{(369,1),(470,1),(473,1)}
       426:{4,6}:{(370,1),(380,1),(473,1)}
       427:{2,5}:{(371,1),(373,1)}
       428:{2,4,7}:{(371,1),(372,1),(374,1),(475,1),(532,1)}
       429:{1,3,5,6}:{(373,1),(375,1),(389,1),(465,1),(474,1),(476,1),(477,1),(482,1),(521,1),(528,1),(546,1)}
       430:{1,3,5,7}:{(373,1),(374,1),(376,1),(390,1),(466,1),(475,1),(477,1),(522,1)}
       431:{2,3,5,7}:{(375,1),(377,1),(391,1),(468,1),(476,1),(478,1),(483,1),(529,1)}
       432:{2,3,6}:{(376,1),(378,1),(392,1),(469,1),(477,1)}
       433:{3,6,7}:{(377,1),(378,1),(381,1)}
       434:{3,5,6}:{(378,1),(379,1),(382,1),(480,1)}
       435:{4,5,7}:{(379,1),(380,1),(473,1),(480,1),(535,1),(549,1)}
       436:{2,5,6,7}:{(381,1),(382,1),(394,1),(479,1),(529,1),(536,1)}
       437:{2,4}:{(383,1),(384,1),(481,1)}
       438:{1,3,5}:{(384,1),(385,1),(386,1),(481,1),(482,1)}
       439:{2,3,6}:{(385,1),(387,1),(482,1),(483,1),(486,1),(521,1)}
       440:{1,4,6}:{(386,1),(387,1),(389,1),(482,1),(484,1)}
       441:{2,4,7}:{(387,1),(388,1),(391,1),(483,1),(484,1),(532,1)}
       442:{1,5,7}:{(389,1),(391,1),(484,1),(485,1)}
       443:{1,6}:{(390,1),(392,1)}
       444:{2,6,7}:{(391,1),(392,1),(393,1),(485,1)}
       445:{3,5}:{(395,1),(396,1),(486,1)}
       446:{3,4,7}:{(395,1),(397,1),(487,1),(488,1),(549,1)}
       447:{2,4,6}:{(396,1),(399,1),(408,1),(486,1),(489,1)}
       448:{2,4,5,7}:{(396,1),(397,1),(400,1),(409,1),(487,1),(489,1),(490,1),(491,1),(535,1),(536,1),(549,1)}
       449:{2,4,6}:{(397,1),(398,1),(401,1),(488,1),(491,1)}
       450:{1,4,7}:{(399,1),(402,1),(410,1),(489,1),(549,1)}
       451:{1,4,6}:{(400,1),(403,1),(411,1),(490,1),(493,1)}
       452:{1,5}:{(401,1),(404,1),(491,1)}
       453:{2,4,6,7}:{(402,1),(403,1),(405,1),(412,1),(492,1),(494,1)}
       454:{2,5,6}:{(403,1),(404,1),(406,1),(493,1),(494,1)}
       455:{3,5,7}:{(405,1),(406,1),(494,1),(495,1)}
       456:{4,5,6}:{(406,1),(407,1),(414,1),(495,1)}
       457:{2,5,7}:{(408,1),(410,1),(489,1),(496,1),(532,1)}
       458:{2,6}:{(409,1),(411,1)}
       459:{1,3,6,7}:{(410,1),(411,1),(412,1),(485,1),(492,1),(496,1),(533,1)}
       460:{4,6,7}:{(413,1),(414,1),(495,1),(552,1)}
       461:{3,4}:{(415,1),(497,1)}
       462:{2,4,5}:{(415,1),(417,1),(427,1),(497,1),(499,1)}
       463:{2,4,7}:{(415,1),(416,1),(418,1),(498,1),(501,1)}
       464:{2,3,6}:{(416,1),(419,1),(501,1),(510,1),(538,1)}
       465:{1,4,6}:{(417,1),(420,1),(429,1),(499,1),(502,1),(551,1)}
       466:{1,4,5,7}:{(417,1),(418,1),(421,1),(430,1),(500,1),(502,1),(503,1),(504,1),(542,1)}
       467:{1,4,6}:{(418,1),(419,1),(422,1),(501,1),(504,1)}
       468:{2,4,7}:{(420,1),(423,1),(431,1),(502,1)}
       469:{2,4,6}:{(421,1),(424,1),(432,1),(503,1),(506,1)}
       470:{2,5}:{(422,1),(425,1),(504,1)}
       471:{3,4,6,7}:{(423,1),(424,1),(433,1),(505,1),(507,1),(512,1)}
       472:{3,5,6}:{(424,1),(425,1),(506,1),(507,1),(508,1)}
       473:{4,5}:{(425,1),(426,1)}
       474:{2,5,6}:{(427,1),(429,1),(499,1),(509,1),(510,1),(513,1)}
       475:{2,5,7}:{(427,1),(428,1),(430,1),(510,1)}
       476:{1,3,5,7}:{(429,1),(431,1),(442,1),(502,1),(509,1),(511,1),(514,1),(537,1),(542,1),(550,1)}
       477:{1,3,6}:{(430,1),(432,1),(443,1),(503,1),(510,1),(538,1)}
       478:{2,3,6,7}:{(431,1),(432,1),(433,1),(444,1),(505,1),(511,1)}
       479:{3,5,6,7}:{(433,1),(434,1),(436,1),(507,1),(512,1),(543,1)}
       480:{4,6}:{(434,1),(435,1)}
       481:{2,5}:{(437,1),(438,1),(513,1)}
       482:{1,3,6}:{(438,1),(439,1),(440,1),(513,1),(514,1)}
       483:{2,3,7}:{(439,1),(441,1),(514,1),(515,1),(537,1)}
       484:{1,4,7}:{(440,1),(441,1),(442,1),(514,1)}
       485:{1,6,7}:{(442,1),(443,1),(444,1)}
       486:{3,6}:{(445,1),(447,1),(515,1)}
       487:{3,5,7}:{(445,1),(446,1),(448,1),(515,1),(516,1),(517,1)}
       488:{3,4,6}:{(446,1),(449,1),(516,1),(517,1),(544,1)}
       489:{2,4,7}:{(447,1),(450,1),(457,1),(515,1)}
       490:{2,4,6}:{(448,1),(451,1),(458,1),(516,1),(519,1),(544,1)}
       491:{2,5}:{(449,1),(452,1),(517,1)}
       492:{1,4,6,7}:{(450,1),(451,1),(453,1),(459,1),(518,1),(520,1)}
       493:{1,5,6}:{(451,1),(452,1),(454,1),(519,1),(520,1)}
       494:{2,5,7}:{(453,1),(454,1),(455,1),(520,1)}
       495:{4,5,7}:{(455,1),(456,1),(460,1)}
       496:{2,6,7}:{(457,1),(458,1),(459,1)}
       497:{3,5}:{(461,1),(462,1),(521,1)}
       498:{3,4,7}:{(461,1),(463,1),(522,1),(523,1),(552,1)}
       499:{2,4,6}:{(462,1),(465,1),(474,1),(521,1),(524,1)}
       500:{2,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(522,1),(524,1),(525,1),(526,1),(547,1),(548,1),(552,1)}
       501:{2,4,6}:{(463,1),(464,1),(467,1),(523,1),(526,1)}
       502:{1,4,7}:{(465,1),(468,1),(476,1),(524,1),(552,1)}
       503:{1,4,6}:{(466,1),(469,1),(477,1),(525,1),(528,1)}
       504:{1,5}:{(467,1),(470,1),(526,1)}
       505:{2,4,6,7}:{(468,1),(469,1),(471,1),(478,1),(527,1),(529,1)}
       506:{2,5,6}:{(469,1),(470,1),(472,1),(528,1),(529,1)}
       507:{3,5,7}:{(471,1),(472,1),(529,1),(530,1)}
       508:{4,5,6}:{(472,1),(473,1),(480,1),(530,1)}
       509:{2,5,7}:{(474,1),(476,1),(524,1),(531,1),(532,1)}
       510:{2,6}:{(475,1),(477,1)}
       511:{1,3,6,7}:{(476,1),(477,1),(478,1),(485,1),(527,1),(531,1),(545,1)}
       512:{4,6,7}:{(479,1),(480,1),(530,1),(549,1)}
       513:{2,6}:{(481,1),(482,1),(532,1)}
       514:{1,3,7}:{(482,1),(483,1),(484,1),(532,1)}
       515:{3,7}:{(486,1),(489,1)}
       516:{3,6}:{(487,1),(490,1)}
       517:{3,5}:{(488,1),(491,1),(535,1)}
       518:{2,4,6,7}:{(489,1),(490,1),(492,1),(496,1),(533,1),(536,1),(549,1)}
       519:{2,5,6}:{(490,1),(491,1),(493,1),(534,1),(536,1)}
       520:{1,5,7}:{(492,1),(493,1),(494,1),(536,1)}
       521:{3,6}:{(497,1),(499,1),(537,1)}
       522:{3,5,7}:{(497,1),(498,1),(500,1),(537,1),(538,1),(539,1)}
       523:{3,4,6}:{(498,1),(501,1),(538,1),(539,1),(551,1)}
       524:{2,4,7}:{(499,1),(502,1),(509,1),(537,1)}
       525:{2,4,6}:{(500,1),(503,1),(510,1),(538,1),(541,1),(551,1)}
       526:{2,5}:{(501,1),(504,1),(539,1)}
       527:{1,4,6,7}:{(502,1),(503,1),(505,1),(511,1),(540,1),(542,1)}
       528:{1,5,6}:{(503,1),(504,1),(506,1),(541,1),(542,1)}
       529:{2,5,7}:{(505,1),(506,1),(507,1),(542,1)}
       530:{4,5,7}:{(507,1),(508,1),(512,1)}
       531:{2,6,7}:{(509,1),(510,1),(511,1)}
       532:{2,7}:{(513,1),(514,1)}
       533:{3,6,7}:{(515,1),(516,1),(518,1),(543,1)}
       534:{3,5,6}:{(516,1),(517,1),(519,1),(543,1),(544,1)}
       535:{4,5}:{(517,1),(544,1)}
       536:{2,5,7}:{(518,1),(519,1),(520,1),(543,1)}
       537:{3,7}:{(521,1),(524,1)}
       538:{3,6}:{(522,1),(525,1)}
       539:{3,5}:{(523,1),(526,1),(547,1)}
       540:{2,4,6,7}:{(524,1),(525,1),(527,1),(531,1),(545,1),(548,1),(552,1)}
       541:{2,5,6}:{(525,1),(526,1),(528,1),(546,1),(548,1)}
       542:{1,5,7}:{(527,1),(528,1),(529,1),(548,1)}
       543:{3,5,7}:{(533,1),(534,1),(536,1),(549,1)}
       544:{4,6}:{(534,1),(535,1),(549,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(550,1)}
       546:{3,5,6}:{(538,1),(539,1),(541,1),(550,1),(551,1)}
       547:{4,5}:{(539,1),(551,1)}
       548:{2,5,7}:{(540,1),(541,1),(542,1),(550,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{3,5,7}:{(545,1),(546,1),(548,1),(552,1)}
       551:{4,6}:{(546,1),(547,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 260 :   0:{2,4,5,7}:{(2,1),(4,1),(5,1),(7,1),(24,1),(29,1),(34,1),(68,1),(71,1),(72,1),(92,1),(101,1),(119,1),(132,1)}
         1:{2,4,6,7}:{(3,1),(5,1),(6,1),(7,1),(27,1),(34,1),(68,1)}
         2:{1,4,5,7}:{(0,1),(8,1),(10,1),(11,1),(13,1),(42,1),(47,1),(48,1),(74,1),(84,1),(87,1),(91,1),(109,1),(113,1)}
         3:{1,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(13,1),(45,1),(47,1),(87,1)}
         4:{3,5,7}:{(0,1),(14,1),(16,1),(50,1),(88,1),(107,1),(114,1),(127,1)}
         5:{2,4,6}:{(0,1),(11,1),(16,1),(17,1),(43,1),(53,1)}
         6:{3,6,7}:{(1,1),(16,1),(18,1),(88,1)}
         7:{2,5,7}:{(1,1),(13,1),(17,1),(18,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(20,1),(22,1),(24,1),(54,1),(59,1),(68,1),(69,1),(94,1),(95,1),(101,1),(106,1),(126,1)}
         9:{2,4,6,7}:{(3,1),(20,1),(21,1),(22,1),(27,1),(59,1),(68,1)}
        10:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(25,1),(63,1),(104,1),(123,1)}
        11:{1,4,6}:{(2,1),(5,1),(20,1),(25,1),(26,1),(64,1)}
        12:{1,3,6,7}:{(3,1),(6,1),(21,1),(25,1),(27,1),(28,1),(104,1)}
        13:{1,5,7}:{(3,1),(7,1),(22,1),(26,1)}
        14:{3,4,7}:{(4,1),(29,1),(30,1),(34,1),(122,1),(132,1)}
        15:{2,3,5,7}:{(4,1),(24,1),(29,1),(31,1),(32,1),(60,1),(71,1),(99,1)}
        16:{3,6}:{(4,1),(5,1)}
        17:{2,5,6}:{(5,1),(7,1),(26,1),(33,1),(71,1),(119,1)}
        18:{3,5,7}:{(6,1),(7,1),(33,1),(34,1)}
        19:{3,5,7}:{(8,1),(35,1),(37,1),(76,1),(88,1),(89,1),(114,1),(117,1)}
        20:{2,4,6}:{(8,1),(11,1),(37,1),(38,1),(43,1),(79,1)}
        21:{3,6,7}:{(9,1),(37,1),(39,1),(88,1)}
        22:{2,5,7}:{(9,1),(13,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(10,1),(14,1),(35,1),(40,1),(41,1),(47,1),(48,1),(74,1),(80,1),(88,1),(89,1),(107,1),(129,1)}
        24:{2,5,7}:{(10,1),(40,1),(42,1),(43,1),(83,1),(116,1),(130,1)}
        25:{1,3,6}:{(10,1),(11,1),(16,1),(37,1),(43,1)}
        26:{1,5,6}:{(11,1),(13,1),(17,1),(38,1),(91,1),(109,1)}
        27:{2,6,7}:{(12,1),(43,1),(45,1),(46,1),(116,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(18,1),(39,1),(44,1),(46,1),(47,1),(88,1)}
        29:{2,4,7}:{(14,1),(15,1),(48,1),(49,1),(112,1)}
        30:{3,4,6}:{(14,1),(16,1),(49,1),(50,1),(53,1)}
        31:{1,3,5,7}:{(15,1),(42,1),(48,1),(51,1),(52,1),(80,1),(89,1),(91,1),(111,1),(117,1)}
        32:{2,3,6}:{(15,1),(16,1),(43,1),(49,1),(52,1)}
        33:{3,5,6}:{(16,1),(17,1),(18,1),(50,1),(53,1),(127,1)}
        34:{4,7}:{(18,1),(53,1)}
        35:{3,4,7}:{(19,1),(54,1),(55,1),(59,1),(122,1),(126,1)}
        36:{2,3,5,7}:{(19,1),(24,1),(54,1),(56,1),(57,1),(60,1),(94,1),(99,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{2,5,6}:{(20,1),(22,1),(26,1),(58,1),(94,1),(106,1)}
        39:{3,5,7}:{(21,1),(22,1),(58,1),(59,1)}
        40:{2,4,7}:{(23,1),(24,1),(60,1),(61,1),(62,1),(97,1),(134,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(30,1),(55,1),(62,1),(63,1),(66,1),(70,1),(93,1),(98,1),(103,1),(105,1),(118,1),(121,1),(122,1),(126,1),(132,1),(133,1)}
        42:{1,5,7}:{(24,1),(61,1),(64,1),(100,1),(125,1),(135,1)}
        43:{2,6}:{(24,1),(25,1),(64,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(28,1),(33,1),(58,1),(63,1),(65,1),(66,1),(103,1)}
        45:{1,6,7}:{(27,1),(64,1),(67,1),(125,1)}
        46:{2,5,7}:{(27,1),(28,1),(65,1),(67,1),(68,1)}
        47:{1,4,7}:{(28,1),(34,1),(59,1),(66,1),(68,1),(125,1)}
        48:{1,4,7}:{(29,1),(31,1),(69,1),(70,1),(121,1),(126,1)}
        49:{2,4,6}:{(29,1),(30,1),(32,1),(70,1),(71,1)}
        50:{3,5}:{(30,1),(71,1),(72,1)}
        51:{2,5,7}:{(31,1),(69,1),(73,1),(97,1),(106,1),(120,1)}
        52:{1,3,6}:{(31,1),(32,1),(64,1),(70,1),(73,1),(105,1)}
        53:{4,6}:{(33,1),(34,1),(72,1),(132,1)}
        54:{2,4,7}:{(35,1),(36,1),(74,1),(75,1),(112,1)}
        55:{3,4,6}:{(35,1),(37,1),(75,1),(76,1),(79,1)}
        56:{1,3,5,7}:{(36,1),(42,1),(74,1),(77,1),(78,1),(80,1),(107,1),(109,1),(111,1),(127,1)}
        57:{2,3,6}:{(36,1),(37,1),(43,1),(75,1),(78,1)}
        58:{3,5,6}:{(37,1),(38,1),(39,1),(76,1),(79,1),(117,1)}
        59:{4,7}:{(39,1),(79,1)}
        60:{2,3,7}:{(40,1),(80,1),(81,1),(88,1),(89,1),(107,1),(116,1),(136,1)}
        61:{1,4,7}:{(40,1),(42,1),(80,1),(82,1),(137,1)}
        62:{2,4,6}:{(40,1),(41,1),(43,1),(81,1),(82,1),(83,1),(110,1),(112,1),(128,1)}
        63:{1,3,5}:{(41,1),(50,1),(76,1),(83,1),(84,1),(91,1),(109,1),(114,1),(117,1),(127,1)}
        64:{1,6}:{(42,1),(43,1)}
        65:{2,5,6}:{(43,1),(44,1),(46,1),(83,1),(85,1),(86,1)}
        66:{1,4,6}:{(44,1),(47,1),(53,1),(79,1),(84,1),(86,1),(131,1)}
        67:{1,5,7}:{(45,1),(46,1),(85,1),(87,1)}
        68:{2,4,7}:{(46,1),(47,1),(86,1),(87,1),(88,1),(116,1)}
        69:{2,4,7}:{(48,1),(51,1),(89,1),(90,1),(128,1)}
        70:{1,4,6}:{(48,1),(49,1),(52,1),(90,1),(91,1)}
        71:{2,5}:{(49,1),(50,1),(91,1)}
        72:{4,5}:{(50,1),(53,1)}
        73:{2,6}:{(51,1),(52,1)}
        74:{1,4,7}:{(54,1),(56,1),(92,1),(93,1),(121,1),(132,1)}
        75:{2,4,6}:{(54,1),(55,1),(57,1),(93,1),(94,1)}
        76:{3,5}:{(55,1),(94,1),(95,1)}
        77:{2,5,7}:{(56,1),(92,1),(96,1),(97,1),(119,1),(120,1)}
        78:{1,3,6}:{(56,1),(57,1),(64,1),(93,1),(96,1),(118,1)}
        79:{4,6}:{(58,1),(59,1),(95,1),(126,1)}
        80:{1,3,7}:{(60,1),(61,1),(97,1),(98,1),(125,1),(138,1)}
        81:{2,3,6}:{(60,1),(62,1),(98,1),(99,1),(103,1),(105,1),(118,1),(124,1),(133,1)}
        82:{1,4,6}:{(61,1),(62,1),(64,1),(98,1),(100,1),(121,1)}
        83:{2,5}:{(62,1),(63,1),(100,1)}
        84:{1,4,5}:{(63,1),(66,1),(72,1),(95,1),(101,1),(121,1),(126,1),(132,1),(135,1)}
        85:{1,5,6}:{(64,1),(65,1),(67,1),(100,1),(102,1)}
        86:{2,4,6}:{(65,1),(66,1),(68,1),(101,1),(102,1),(103,1),(124,1)}
        87:{1,4,7}:{(67,1),(68,1),(102,1),(104,1)}
        88:{3,7}:{(68,1),(103,1)}
        89:{3,7}:{(69,1),(105,1),(133,1)}
        90:{2,4,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(126,1)}
        91:{1,5}:{(70,1),(71,1),(106,1)}
        92:{2,4,7}:{(74,1),(77,1),(107,1),(108,1),(128,1)}
        93:{1,4,6}:{(74,1),(75,1),(78,1),(108,1),(109,1)}
        94:{2,5}:{(75,1),(76,1),(109,1)}
        95:{4,5}:{(76,1),(79,1)}
        96:{2,6}:{(77,1),(78,1)}
        97:{2,7}:{(80,1),(110,1),(139,1)}
        98:{1,3,6}:{(80,1),(81,1),(82,1),(110,1),(111,1),(131,1)}
        99:{2,3,5}:{(81,1),(83,1),(111,1),(112,1),(114,1),(117,1),(127,1),(130,1),(136,1)}
       100:{1,5}:{(82,1),(83,1)}
       101:{2,4,5}:{(83,1),(84,1),(86,1),(112,1),(113,1),(114,1),(128,1),(130,1)}
       102:{1,4,6}:{(85,1),(86,1),(87,1),(113,1),(115,1)}
       103:{3,6}:{(86,1),(88,1),(114,1)}
       104:{1,3,7}:{(87,1),(88,1),(115,1),(116,1)}
       105:{3,6}:{(89,1),(90,1),(117,1)}
       106:{2,5}:{(90,1),(91,1),(117,1)}
       107:{3,7}:{(92,1),(118,1),(133,1)}
       108:{2,4,6}:{(92,1),(93,1),(96,1),(118,1),(119,1),(132,1)}
       109:{1,5}:{(93,1),(94,1),(119,1)}
       110:{2,6}:{(97,1),(98,1),(120,1)}
       111:{1,3,5}:{(98,1),(99,1),(100,1),(120,1),(121,1),(133,1),(135,1),(138,1)}
       112:{2,4}:{(99,1),(121,1),(122,1),(126,1),(132,1)}
       113:{1,4,5}:{(100,1),(101,1),(102,1),(121,1),(123,1)}
       114:{3,5}:{(101,1),(103,1),(122,1),(133,1)}
       115:{1,3,6}:{(102,1),(103,1),(104,1),(123,1),(124,1)}
       116:{2,7}:{(104,1),(124,1),(125,1)}
       117:{3,5}:{(105,1),(106,1),(126,1)}
       118:{3,6}:{(107,1),(108,1),(127,1)}
       119:{2,5}:{(108,1),(109,1),(127,1)}
       120:{2,5}:{(110,1),(111,1),(128,1),(139,1)}
       121:{1,4}:{(111,1),(112,1),(128,1)}
       122:{3,4}:{(112,1),(114,1)}
       123:{1,3,5}:{(113,1),(114,1),(115,1),(129,1),(130,1)}
       124:{2,6}:{(115,1),(116,1),(130,1),(131,1)}
       125:{1,7}:{(116,1),(131,1)}
       126:{4}:{(117,1)}
       127:{3,5}:{(118,1),(119,1),(132,1)}
       128:{2,4}:{(120,1),(121,1),(133,1)}
       129:{1,3,4}:{(121,1),(122,1),(123,1),(133,1),(134,1),(138,1)}
       130:{2,5}:{(123,1),(124,1),(134,1),(135,1)}
       131:{1,6}:{(124,1),(125,1),(135,1)}
       132:{4}:{(127,1)}
       133:{3}:{(128,1)}
       134:{2,4}:{(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{1,5}:{(130,1),(131,1),(137,1)}
       136:{2,3}:{(133,1),(134,1),(138,1)}
       137:{1,4}:{(134,1),(135,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 261 :   0:{2,5,6,7}:{(1,1),(2,1),(3,1),(42,1),(143,1),(241,1)}
         1:{1,5,6,7}:{(0,1),(4,1),(5,1),(64,1),(106,1),(205,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(8,1),(25,1),(184,1),(282,1)}
         3:{2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(23,1),(292,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(10,1),(75,1),(93,1),(178,1)}
         5:{1,4,6,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(39,1),(252,1)}
         6:{4,6,7}:{(2,1),(13,1),(230,1),(334,1)}
         7:{2,4,5,7}:{(3,1),(11,1),(13,1),(15,1),(16,1),(38,1),(42,1),(46,1),(143,1),(150,1),(230,1)}
         8:{3,6,7}:{(3,1),(16,1),(346,1)}
         9:{3,5,6,7}:{(4,1),(18,1),(20,1),(50,1),(128,1),(213,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(23,1),(223,1)}
        11:{1,4,5,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(59,1),(64,1),(70,1),(106,1),(112,1)}
        12:{1,3,6,7}:{(5,1),(8,1),(20,1),(22,1),(23,1),(304,1)}
        13:{4,5,7}:{(6,1),(24,1),(25,1)}
        14:{3,4,6,7}:{(6,1),(8,1),(25,1),(26,1),(28,1),(61,1)}
        15:{2,4,5,6}:{(7,1),(21,1),(24,1),(27,1),(57,1),(62,1),(67,1),(181,1),(189,1),(277,1),(288,1),(292,1)}
        16:{3,5,7}:{(7,1),(8,1),(27,1),(28,1),(192,1)}
        17:{2,3,6,7}:{(8,1),(23,1),(26,1),(29,1),(30,1),(123,1)}
        18:{4,6,7}:{(9,1),(31,1),(167,1),(261,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(75,1),(79,1),(93,1),(100,1),(167,1)}
        20:{3,6,7}:{(10,1),(34,1),(273,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(36,1),(84,1),(90,1),(97,1),(140,1),(147,1),(248,1),(252,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(16,1),(34,1),(36,1),(37,1),(38,1)}
        23:{2,6,7}:{(12,1),(38,1),(39,1),(358,1)}
        24:{4,5,6}:{(13,1),(40,1),(334,1),(521,1)}
        25:{3,5,7}:{(13,1),(14,1),(40,1),(42,1)}
        26:{2,4,6,7}:{(14,1),(17,1),(42,1),(43,1),(46,1),(89,1)}
        27:{3,5,6}:{(15,1),(16,1),(44,1),(235,1),(341,1),(346,1)}
        28:{3,4,7}:{(16,1),(44,1),(46,1),(230,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(38,1),(42,1),(45,1),(46,1),(47,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(39,1),(43,1),(47,1),(48,1),(94,1),(162,1)}
        31:{4,5,7}:{(18,1),(49,1),(50,1)}
        32:{3,4,6,7}:{(18,1),(20,1),(50,1),(51,1),(53,1),(103,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(104,1),(109,1),(125,1),(133,1),(208,1),(219,1),(223,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1),(136,1)}
        35:{2,3,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(179,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(27,1),(52,1),(56,1),(57,1),(300,1),(304,1)}
        37:{1,3,4,7}:{(22,1),(28,1),(53,1),(56,1),(58,1),(70,1),(112,1),(119,1),(136,1),(192,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(58,1),(59,1)}
        39:{1,6,7}:{(23,1),(59,1),(409,1)}
        40:{3,5,6}:{(24,1),(25,1),(61,1),(62,1),(494,1)}
        41:{3,4,5,7}:{(25,1),(28,1),(61,1),(63,1),(66,1),(281,1),(291,1),(415,1),(494,1)}
        42:{2,5,7}:{(25,1),(26,1),(62,1),(64,1)}
        43:{1,4,6,7}:{(26,1),(30,1),(64,1),(65,1),(70,1),(124,1)}
        44:{3,4,6}:{(27,1),(28,1),(66,1),(67,1),(277,1)}
        45:{2,3,5,6}:{(27,1),(29,1),(57,1),(62,1),(67,1),(68,1),(116,1),(123,1),(130,1)}
        46:{2,4,7}:{(28,1),(29,1),(67,1),(70,1)}
        47:{1,3,5,7}:{(29,1),(30,1),(59,1),(64,1),(68,1),(70,1),(71,1),(119,1),(128,1),(136,1)}
        48:{2,6,7}:{(30,1),(71,1),(206,1)}
        49:{4,5,6}:{(31,1),(73,1),(261,1),(541,1)}
        50:{3,5,7}:{(31,1),(32,1),(73,1),(75,1)}
        51:{2,4,6,7}:{(32,1),(35,1),(75,1),(76,1),(79,1),(139,1)}
        52:{3,5,6}:{(33,1),(34,1),(77,1),(172,1),(268,1),(273,1)}
        53:{3,4,7}:{(34,1),(77,1),(79,1),(167,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(75,1),(78,1),(79,1),(80,1),(85,1)}
        55:{1,3,6,7}:{(35,1),(39,1),(76,1),(80,1),(81,1),(144,1),(225,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(44,1),(77,1),(82,1),(83,1),(97,1),(147,1),(155,1),(172,1),(235,1)}
        57:{2,5,6}:{(36,1),(38,1),(83,1),(84,1),(354,1),(358,1)}
        58:{2,4,7}:{(37,1),(38,1),(83,1),(85,1),(86,1),(158,1)}
        59:{1,5,7}:{(38,1),(39,1),(84,1),(86,1)}
        60:{1,2,6,7}:{(39,1),(48,1),(81,1),(87,1),(88,1),(254,1),(327,1),(358,1),(456,1),(470,1),(516,1)}
        61:{3,4,6}:{(40,1),(41,1),(89,1),(334,1),(346,1)}
        62:{2,5,6}:{(40,1),(42,1),(89,1),(90,1),(458,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(46,1),(89,1),(91,1),(92,1),(95,1),(365,1),(458,1)}
        64:{1,5,7}:{(42,1),(43,1),(90,1),(93,1)}
        65:{2,4,6,7}:{(43,1),(48,1),(93,1),(94,1),(100,1),(163,1),(167,1)}
        66:{3,4,5}:{(44,1),(95,1),(330,1),(341,1),(464,1)}
        67:{2,4,6}:{(44,1),(45,1),(46,1),(95,1),(97,1)}
        68:{1,3,5,6}:{(45,1),(47,1),(84,1),(90,1),(97,1),(98,1),(155,1),(162,1),(164,1),(169,1),(172,1)}
        69:{2,3,4,7}:{(46,1),(85,1),(91,1),(96,1),(99,1),(239,1),(250,1),(270,1),(365,1)}
        70:{1,4,7}:{(46,1),(47,1),(97,1),(100,1),(167,1)}
        71:{2,5,7}:{(47,1),(48,1),(98,1),(100,1),(158,1)}
        72:{2,3,6,7}:{(48,1),(88,1),(94,1),(101,1),(102,1),(255,1),(273,1),(358,1),(428,1),(516,1),(544,1)}
        73:{3,5,6}:{(49,1),(50,1),(103,1),(104,1),(527,1)}
        74:{3,4,5,7}:{(50,1),(53,1),(103,1),(105,1),(108,1),(212,1),(222,1),(475,1),(527,1)}
        75:{2,5,7}:{(50,1),(51,1),(104,1),(106,1)}
        76:{1,4,6,7}:{(51,1),(55,1),(106,1),(107,1),(112,1),(180,1)}
        77:{3,4,6}:{(52,1),(53,1),(108,1),(109,1),(208,1)}
        78:{2,3,5,6}:{(52,1),(54,1),(57,1),(104,1),(109,1),(110,1),(116,1),(179,1),(186,1)}
        79:{2,4,7}:{(53,1),(54,1),(109,1),(112,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(59,1),(106,1),(110,1),(112,1),(113,1),(119,1),(184,1),(192,1)}
        81:{2,6,7}:{(55,1),(113,1),(275,1)}
        82:{1,3,4,5}:{(56,1),(66,1),(108,1),(115,1),(131,1),(187,1),(196,1),(215,1),(284,1),(297,1),(300,1)}
        83:{2,4,6}:{(56,1),(57,1),(58,1),(115,1),(116,1),(117,1),(198,1)}
        84:{1,5,6}:{(57,1),(59,1),(117,1),(406,1),(409,1)}
        85:{2,3,7}:{(58,1),(116,1),(119,1),(136,1),(192,1)}
        86:{1,4,7}:{(58,1),(59,1),(117,1),(119,1)}
        87:{1,2,5,7}:{(59,1),(60,1),(71,1),(113,1),(118,1),(120,1),(121,1),(201,1),(303,1),(493,1),(502,1),(535,1)}
        88:{1,3,6,7}:{(60,1),(72,1),(114,1),(121,1),(122,1),(304,1),(306,1),(380,1),(409,1)}
        89:{2,4,6}:{(61,1),(62,1),(63,1),(123,1),(124,1)}
        90:{1,5,6}:{(62,1),(64,1),(124,1),(125,1),(412,1)}
        91:{2,3,5,7}:{(63,1),(69,1),(123,1),(126,1),(130,1),(291,1),(303,1)}
        92:{1,4,5,7}:{(63,1),(64,1),(70,1),(124,1),(126,1),(127,1),(131,1),(311,1),(412,1)}
        93:{2,5,7}:{(64,1),(65,1),(125,1),(128,1)}
        94:{3,6,7}:{(65,1),(128,1),(136,1),(207,1)}
        95:{2,4,5}:{(66,1),(67,1),(130,1),(131,1),(419,1)}
        96:{2,3,4,6}:{(67,1),(69,1),(116,1),(123,1),(130,1),(132,1),(195,1),(287,1),(299,1),(318,1),(411,1),(419,1)}
        97:{1,4,6}:{(67,1),(68,1),(70,1),(131,1),(133,1),(208,1)}
        98:{2,5,6}:{(68,1),(71,1),(133,1),(198,1),(206,1),(214,1)}
        99:{1,3,4,7}:{(69,1),(70,1),(119,1),(126,1),(132,1),(135,1),(136,1),(211,1),(220,1),(302,1),(311,1)}
       100:{2,4,7}:{(70,1),(71,1),(133,1),(136,1)}
       101:{2,3,5,7}:{(71,1),(72,1),(121,1),(128,1),(134,1),(136,1),(137,1),(138,1),(202,1),(222,1),(303,1),(535,1),(550,1),(551,1)}
       102:{2,4,6,7}:{(72,1),(122,1),(129,1),(137,1),(138,1),(223,1),(307,1),(471,1)}
       103:{3,4,6}:{(73,1),(74,1),(139,1),(261,1),(273,1)}
       104:{2,5,6}:{(73,1),(75,1),(139,1),(140,1),(504,1)}
       105:{2,4,5,7}:{(74,1),(75,1),(79,1),(139,1),(141,1),(142,1),(145,1),(433,1),(504,1)}
       106:{1,5,7}:{(75,1),(76,1),(140,1),(143,1)}
       107:{2,4,6,7}:{(76,1),(81,1),(143,1),(144,1),(150,1),(226,1),(230,1)}
       108:{3,4,5}:{(77,1),(145,1),(257,1),(268,1),(510,1)}
       109:{2,4,6}:{(77,1),(78,1),(79,1),(145,1),(147,1)}
       110:{1,3,5,6}:{(78,1),(80,1),(84,1),(140,1),(147,1),(148,1),(155,1),(225,1),(227,1),(232,1),(235,1)}
       111:{2,3,4,7}:{(79,1),(85,1),(141,1),(146,1),(149,1),(176,1),(250,1),(343,1),(433,1)}
       112:{1,4,7}:{(79,1),(80,1),(147,1),(150,1),(230,1)}
       113:{2,5,7}:{(80,1),(81,1),(148,1),(150,1),(158,1)}
       114:{2,3,6,7}:{(81,1),(88,1),(144,1),(151,1),(152,1),(328,1),(346,1),(358,1),(360,1),(470,1),(524,1)}
       115:{2,4,5}:{(82,1),(83,1),(153,1),(154,1),(243,1),(351,1),(354,1)}
       116:{2,3,6}:{(83,1),(85,1),(153,1),(155,1),(172,1),(235,1)}
       117:{1,4,6}:{(83,1),(84,1),(86,1),(154,1),(155,1)}
       118:{1,2,5,6}:{(84,1),(87,1),(98,1),(148,1),(156,1),(157,1),(245,1),(254,1),(263,1),(327,1),(336,1),(354,1),(358,1),(454,1),(468,1),(514,1)}
       119:{1,3,7}:{(85,1),(86,1),(155,1),(158,1)}
       120:{1,2,4,7}:{(86,1),(87,1),(100,1),(150,1),(156,1),(158,1),(159,1),(160,1),(250,1),(520,1),(526,1),(546,1),(547,1)}
       121:{1,3,5,7}:{(87,1),(88,1),(101,1),(151,1),(157,1),(159,1),(160,1),(161,1),(249,1),(357,1)}
       122:{1,4,6,7}:{(88,1),(102,1),(152,1),(160,1),(161,1),(252,1),(361,1),(429,1)}
       123:{2,3,6}:{(89,1),(91,1),(162,1),(346,1),(358,1)}
       124:{1,4,6}:{(89,1),(90,1),(92,1),(162,1),(163,1)}
       125:{2,5,6}:{(90,1),(93,1),(163,1),(164,1),(362,1)}
       126:{1,3,5,7}:{(91,1),(92,1),(99,1),(162,1),(165,1),(166,1),(169,1),(357,1)}
       127:{2,4,5,7}:{(92,1),(93,1),(100,1),(163,1),(165,1),(166,1),(167,1),(170,1),(257,1),(259,1),(362,1)}
       128:{3,5,7}:{(93,1),(94,1),(164,1),(167,1)}
       129:{3,4,6,7}:{(94,1),(102,1),(167,1),(168,1),(176,1),(256,1),(261,1),(273,1),(503,1),(544,1),(552,1)}
       130:{2,3,5}:{(95,1),(96,1),(169,1),(341,1),(354,1),(458,1)}
       131:{1,4,5}:{(95,1),(97,1),(169,1),(170,1),(257,1),(370,1)}
       132:{1,3,4,6}:{(96,1),(97,1),(99,1),(155,1),(162,1),(169,1),(171,1),(172,1),(242,1),(256,1),(265,1),(266,1),(353,1),(361,1),(370,1)}
       133:{2,4,6}:{(97,1),(98,1),(100,1),(170,1),(172,1)}
       134:{2,3,5,6}:{(98,1),(101,1),(157,1),(164,1),(172,1),(173,1),(178,1),(246,1),(255,1),(264,1),(268,1),(273,1),(354,1),(358,1),(362,1),(428,1),(437,1),(504,1),(514,1),(542,1),(545,1)}
       135:{2,4,7}:{(99,1),(158,1),(165,1),(171,1),(175,1)}
       136:{3,7}:{(100,1),(172,1)}
       137:{2,4,7}:{(101,1),(160,1),(167,1),(173,1),(176,1),(552,1)}
       138:{2,5,7}:{(102,1),(161,1),(168,1),(178,1),(362,1),(504,1)}
       139:{2,4,6}:{(103,1),(104,1),(105,1),(179,1),(180,1)}
       140:{1,5,6}:{(104,1),(106,1),(180,1),(181,1),(472,1)}
       141:{2,3,5,7}:{(105,1),(111,1),(179,1),(182,1),(186,1),(222,1),(303,1)}
       142:{1,4,5,7}:{(105,1),(106,1),(112,1),(180,1),(182,1),(183,1),(187,1),(385,1),(472,1)}
       143:{2,5,7}:{(106,1),(107,1),(181,1),(184,1)}
       144:{3,6,7}:{(107,1),(184,1),(192,1),(276,1)}
       145:{2,4,5}:{(108,1),(109,1),(186,1),(187,1),(479,1)}
       146:{2,3,4,6}:{(109,1),(111,1),(116,1),(179,1),(186,1),(188,1),(195,1),(218,1),(299,1),(392,1),(471,1),(479,1)}
       147:{1,4,6}:{(109,1),(110,1),(112,1),(187,1),(189,1),(277,1)}
       148:{2,5,6}:{(110,1),(113,1),(189,1),(198,1),(275,1),(283,1)}
       149:{1,3,4,7}:{(111,1),(112,1),(119,1),(182,1),(188,1),(191,1),(192,1),(280,1),(289,1),(302,1),(385,1)}
       150:{2,4,7}:{(112,1),(113,1),(189,1),(192,1)}
       151:{2,3,5,7}:{(113,1),(114,1),(121,1),(184,1),(190,1),(192,1),(193,1),(194,1),(202,1),(291,1),(303,1),(502,1),(539,1),(540,1)}
       152:{2,4,6,7}:{(114,1),(122,1),(185,1),(193,1),(194,1),(292,1),(381,1),(411,1)}
       153:{2,3,5}:{(115,1),(116,1),(195,1),(196,1),(215,1),(284,1)}
       154:{1,4,5}:{(115,1),(117,1),(196,1),(403,1),(406,1)}
       155:{1,3,6}:{(116,1),(117,1),(119,1),(196,1),(198,1)}
       156:{1,2,4,6}:{(117,1),(118,1),(120,1),(133,1),(189,1),(197,1),(198,1),(199,1),(200,1),(299,1),(491,1),(500,1),(533,1),(536,1)}
       157:{1,3,5,6}:{(118,1),(121,1),(134,1),(190,1),(199,1),(200,1),(205,1),(298,1),(300,1),(304,1),(306,1),(315,1),(380,1),(389,1),(406,1),(409,1),(412,1),(472,1)}
       158:{2,7}:{(119,1),(198,1)}
       159:{1,3,7}:{(120,1),(136,1),(192,1),(199,1),(202,1),(540,1),(551,1)}
       160:{1,4,7}:{(121,1),(137,1),(193,1),(200,1)}
       161:{1,5,7}:{(122,1),(138,1),(194,1),(205,1),(412,1),(472,1)}
       162:{1,3,6}:{(123,1),(124,1),(126,1),(206,1),(207,1),(409,1)}
       163:{2,4,6}:{(124,1),(125,1),(127,1),(206,1),(207,1),(208,1)}
       164:{3,5,6}:{(125,1),(128,1),(207,1),(208,1),(308,1)}
       165:{2,5,7}:{(126,1),(135,1),(206,1),(214,1)}
       166:{3,5,7}:{(127,1),(136,1),(207,1),(211,1),(215,1),(308,1)}
       167:{4,7}:{(128,1),(208,1)}
       168:{3,5,7}:{(129,1),(138,1),(212,1),(213,1),(308,1),(527,1)}
       169:{1,3,5}:{(130,1),(131,1),(132,1),(214,1),(215,1),(308,1),(406,1),(412,1)}
       170:{2,4,5}:{(131,1),(133,1),(214,1),(215,1),(316,1)}
       171:{2,4,6}:{(132,1),(135,1),(198,1),(206,1),(214,1),(217,1),(294,1),(316,1)}
       172:{3,6}:{(133,1),(136,1),(215,1)}
       173:{2,4,6}:{(134,1),(137,1),(200,1),(208,1),(218,1),(219,1),(316,1),(479,1),(549,1)}
       174:{1,2,4,7}:{(135,1),(201,1),(209,1),(216,1),(220,1),(302,1),(311,1),(323,1)}
       175:{2,3,7}:{(135,1),(136,1),(217,1),(220,1)}
       176:{3,4,7}:{(136,1),(137,1),(218,1),(222,1),(551,1)}
       177:{2,4,5,7}:{(137,1),(138,1),(204,1),(212,1),(219,1),(222,1),(223,1),(303,1)}
       178:{2,5,6}:{(138,1),(205,1),(213,1),(223,1)}
       179:{2,3,6}:{(139,1),(141,1),(225,1),(273,1),(358,1)}
       180:{1,4,6}:{(139,1),(140,1),(142,1),(225,1),(226,1)}
       181:{2,5,6}:{(140,1),(143,1),(226,1),(227,1),(430,1)}
       182:{1,3,5,7}:{(141,1),(142,1),(149,1),(225,1),(228,1),(229,1),(232,1),(357,1)}
       183:{2,4,5,7}:{(142,1),(143,1),(150,1),(226,1),(228,1),(229,1),(230,1),(233,1),(330,1),(332,1),(430,1)}
       184:{3,5,7}:{(143,1),(144,1),(227,1),(230,1)}
       185:{3,4,6,7}:{(144,1),(152,1),(230,1),(231,1),(239,1),(329,1),(334,1),(346,1),(457,1),(524,1),(548,1)}
       186:{2,3,5}:{(145,1),(146,1),(232,1),(268,1),(354,1),(504,1)}
       187:{1,4,5}:{(145,1),(147,1),(232,1),(233,1),(330,1),(438,1)}
       188:{1,3,4,6}:{(146,1),(147,1),(149,1),(155,1),(225,1),(232,1),(234,1),(235,1),(242,1),(329,1),(338,1),(339,1),(353,1),(429,1),(438,1)}
       189:{2,4,6}:{(147,1),(148,1),(150,1),(233,1),(235,1)}
       190:{2,3,5,6}:{(148,1),(151,1),(157,1),(227,1),(235,1),(236,1),(241,1),(246,1),(328,1),(337,1),(341,1),(346,1),(354,1),(358,1),(360,1),(369,1),(430,1),(458,1),(468,1),(522,1),(525,1)}
       191:{2,4,7}:{(149,1),(158,1),(228,1),(234,1),(238,1)}
       192:{3,7}:{(150,1),(235,1)}
       193:{2,4,7}:{(151,1),(160,1),(230,1),(236,1),(239,1),(548,1)}
       194:{2,5,7}:{(152,1),(161,1),(231,1),(241,1),(430,1),(458,1)}
       195:{2,3,4}:{(153,1),(242,1),(265,1),(338,1),(351,1),(448,1)}
       196:{1,3,5}:{(153,1),(154,1),(155,1),(242,1),(243,1)}
       197:{1,2,4,5}:{(154,1),(156,1),(170,1),(233,1),(243,1),(244,1),(248,1),(263,1),(336,1),(348,1),(351,1),(354,1),(370,1),(438,1),(451,1),(465,1),(511,1),(517,1)}
       198:{2,6}:{(155,1),(158,1),(243,1)}
       199:{1,3,6}:{(156,1),(159,1),(172,1),(235,1),(244,1),(246,1),(525,1),(545,1)}
       200:{1,4,6}:{(157,1),(160,1),(173,1),(236,1),(248,1),(370,1),(438,1)}
       201:{1,2,7}:{(158,1),(245,1),(249,1),(547,1)}
       202:{2,3,7}:{(158,1),(159,1),(246,1),(249,1),(250,1),(547,1)}
       203:{1,3,4,7}:{(159,1),(160,1),(176,1),(239,1),(247,1),(250,1),(251,1)}
       204:{1,4,5,7}:{(160,1),(161,1),(177,1),(240,1),(248,1),(251,1),(252,1),(357,1)}
       205:{1,5,6}:{(161,1),(178,1),(241,1),(252,1)}
       206:{2,6}:{(162,1),(165,1)}
       207:{3,6}:{(163,1),(166,1)}
       208:{4,6}:{(164,1),(167,1),(257,1)}
       209:{1,2,5,7}:{(165,1),(174,1),(254,1),(258,1),(263,1),(357,1),(377,1)}
       210:{2,3,5,7}:{(165,1),(166,1),(175,1),(255,1),(258,1),(259,1),(264,1),(362,1)}
       211:{3,4,7}:{(166,1),(167,1),(256,1),(259,1),(265,1)}
       212:{4,5,7}:{(167,1),(168,1),(257,1),(261,1),(541,1),(552,1)}
       213:{3,5,6}:{(168,1),(178,1),(261,1),(273,1)}
       214:{2,5}:{(169,1),(171,1)}
       215:{3,5}:{(170,1),(172,1),(265,1)}
       216:{1,2,4,6}:{(171,1),(174,1),(245,1),(254,1),(263,1),(266,1),(348,1),(353,1),(361,1),(370,1),(373,1)}
       217:{2,3,6}:{(171,1),(172,1),(175,1),(264,1),(266,1),(349,1)}
       218:{3,4,6}:{(172,1),(173,1),(176,1),(265,1),(268,1),(273,1),(510,1),(545,1)}
       219:{2,4,5}:{(173,1),(248,1),(257,1),(268,1),(354,1),(362,1),(504,1),(541,1)}
       220:{1,3,7}:{(174,1),(175,1),(266,1),(270,1)}
       221:{2,3,4,7}:{(175,1),(176,1),(250,1),(259,1),(267,1),(271,1),(272,1),(467,1),(519,1)}
       222:{3,5,7}:{(176,1),(177,1),(268,1),(273,1)}
       223:{2,4,6}:{(177,1),(178,1),(252,1),(261,1),(273,1),(358,1)}
       224:{2,5,6,7}:{(178,1),(253,1),(262,1),(274,1),(460,1),(543,1)}
       225:{1,3,6}:{(179,1),(180,1),(182,1),(275,1),(276,1),(409,1)}
       226:{2,4,6}:{(180,1),(181,1),(183,1),(275,1),(276,1),(277,1)}
       227:{3,5,6}:{(181,1),(184,1),(276,1),(277,1),(382,1)}
       228:{2,5,7}:{(182,1),(191,1),(275,1),(283,1)}
       229:{3,5,7}:{(183,1),(192,1),(276,1),(280,1),(284,1),(382,1)}
       230:{4,7}:{(184,1),(277,1)}
       231:{3,5,7}:{(185,1),(194,1),(281,1),(282,1),(382,1),(494,1)}
       232:{1,3,5}:{(186,1),(187,1),(188,1),(283,1),(284,1),(382,1),(406,1),(472,1)}
       233:{2,4,5}:{(187,1),(189,1),(283,1),(284,1),(390,1)}
       234:{2,4,6}:{(188,1),(191,1),(198,1),(275,1),(283,1),(286,1),(294,1),(390,1)}
       235:{3,6}:{(189,1),(192,1),(284,1)}
       236:{2,4,6}:{(190,1),(193,1),(200,1),(277,1),(287,1),(288,1),(390,1),(419,1),(538,1)}
       237:{1,2,4,7}:{(191,1),(201,1),(278,1),(285,1),(289,1),(302,1),(385,1),(397,1)}
       238:{2,3,7}:{(191,1),(192,1),(286,1),(289,1)}
       239:{3,4,7}:{(192,1),(193,1),(287,1),(291,1),(540,1)}
       240:{2,4,5,7}:{(193,1),(194,1),(204,1),(281,1),(288,1),(291,1),(292,1),(303,1)}
       241:{2,5,6}:{(194,1),(205,1),(282,1),(292,1)}
       242:{1,3,4}:{(195,1),(196,1),(294,1),(401,1),(403,1)}
       243:{2,5}:{(196,1),(198,1),(294,1)}
       244:{1,3,5}:{(197,1),(199,1),(215,1),(284,1),(296,1),(297,1),(401,1),(499,1),(532,1)}
       245:{1,2,6}:{(198,1),(201,1),(295,1),(298,1),(536,1)}
       246:{2,3,6}:{(198,1),(199,1),(202,1),(296,1),(298,1),(299,1),(536,1)}
       247:{1,3,4,6}:{(199,1),(200,1),(203,1),(218,1),(287,1),(297,1),(299,1),(300,1),(304,1)}
       248:{1,4,5}:{(200,1),(219,1),(288,1),(300,1),(406,1),(412,1),(472,1)}
       249:{1,3,7}:{(201,1),(202,1),(298,1),(302,1)}
       250:{2,4,7}:{(202,1),(203,1),(299,1),(302,1),(303,1)}
       251:{1,3,5,7}:{(203,1),(204,1),(222,1),(291,1),(300,1),(303,1),(304,1)}
       252:{1,4,6}:{(204,1),(205,1),(223,1),(292,1),(304,1),(409,1)}
       253:{1,5,6,7}:{(205,1),(224,1),(293,1),(305,1),(496,1),(529,1)}
       254:{1,2,6}:{(206,1),(209,1),(306,1),(409,1),(426,1)}
       255:{2,3,6}:{(206,1),(207,1),(210,1),(306,1),(307,1)}
       256:{3,4,6}:{(207,1),(208,1),(211,1),(307,1),(308,1)}
       257:{4,5}:{(208,1),(308,1)}
       258:{1,3,5,7}:{(209,1),(210,1),(220,1),(306,1),(310,1),(311,1),(315,1),(412,1)}
       259:{2,4,7}:{(210,1),(211,1),(307,1),(311,1),(316,1)}
       260:{3,4,5,7}:{(211,1),(212,1),(222,1),(308,1),(312,1),(313,1),(317,1),(414,1),(422,1)}
       261:{4,6}:{(212,1),(213,1)}
       262:{3,5,6,7}:{(213,1),(224,1),(314,1),(326,1),(414,1),(550,1)}
       263:{1,2,5}:{(214,1),(216,1),(315,1),(406,1),(412,1),(423,1)}
       264:{2,3,5}:{(214,1),(215,1),(217,1),(315,1),(316,1)}
       265:{3,4}:{(215,1),(316,1)}
       266:{1,3,6}:{(216,1),(217,1),(220,1),(315,1),(318,1),(401,1)}
       267:{2,3,4,6}:{(217,1),(218,1),(221,1),(299,1),(307,1),(316,1),(319,1),(320,1),(325,1),(402,1),(421,1),(490,1)}
       268:{3,5}:{(218,1),(219,1)}
       269:{2,4,5,6}:{(219,1),(223,1),(301,1),(309,1),(321,1),(322,1),(407,1),(413,1),(421,1),(528,1),(533,1),(549,1)}
       270:{2,3,7}:{(220,1),(318,1),(323,1),(540,1)}
       271:{1,3,4,7}:{(220,1),(221,1),(302,1),(311,1),(319,1),(323,1),(324,1),(415,1),(501,1),(537,1),(540,1)}
       272:{2,3,5,7}:{(221,1),(222,1),(303,1),(312,1),(320,1),(324,1),(325,1)}
       273:{3,6}:{(222,1),(223,1)}
       274:{2,4,6,7}:{(223,1),(224,1),(305,1),(314,1),(322,1),(326,1),(410,1)}
       275:{2,6}:{(225,1),(228,1)}
       276:{3,6}:{(226,1),(229,1)}
       277:{4,6}:{(227,1),(230,1),(330,1)}
       278:{1,2,5,7}:{(228,1),(237,1),(327,1),(331,1),(336,1),(357,1),(445,1)}
       279:{2,3,5,7}:{(228,1),(229,1),(238,1),(328,1),(331,1),(332,1),(337,1),(430,1)}
       280:{3,4,7}:{(229,1),(230,1),(329,1),(332,1),(338,1)}
       281:{4,5,7}:{(230,1),(231,1),(330,1),(334,1),(521,1),(548,1)}
       282:{3,5,6}:{(231,1),(241,1),(334,1),(346,1)}
       283:{2,5}:{(232,1),(234,1)}
       284:{3,5}:{(233,1),(235,1),(338,1)}
       285:{1,2,4,6}:{(234,1),(237,1),(245,1),(327,1),(336,1),(339,1),(348,1),(353,1),(429,1),(438,1),(441,1)}
       286:{2,3,6}:{(234,1),(235,1),(238,1),(337,1),(339,1),(349,1)}
       287:{3,4,6}:{(235,1),(236,1),(239,1),(338,1),(341,1),(346,1),(464,1),(525,1)}
       288:{2,4,5}:{(236,1),(248,1),(330,1),(341,1),(354,1),(430,1),(458,1),(521,1)}
       289:{1,3,7}:{(237,1),(238,1),(339,1),(343,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(250,1),(332,1),(340,1),(344,1),(345,1),(513,1),(519,1)}
       291:{3,5,7}:{(239,1),(240,1),(341,1),(346,1)}
       292:{2,4,6}:{(240,1),(241,1),(252,1),(334,1),(346,1),(358,1)}
       293:{2,5,6,7}:{(241,1),(253,1),(335,1),(347,1),(506,1),(523,1)}
       294:{2,4}:{(242,1),(243,1),(349,1)}
       295:{1,2,5}:{(243,1),(245,1),(348,1),(350,1),(517,1)}
       296:{2,3,5}:{(243,1),(244,1),(246,1),(349,1),(350,1),(351,1),(354,1),(448,1),(517,1)}
       297:{1,3,4}:{(244,1),(265,1),(338,1),(351,1),(370,1),(438,1),(464,1),(510,1)}
       298:{1,3,6}:{(245,1),(246,1),(249,1),(350,1),(353,1)}
       299:{2,4,6}:{(246,1),(247,1),(250,1),(351,1),(353,1),(354,1),(358,1)}
       300:{1,3,5}:{(247,1),(248,1),(268,1),(341,1),(354,1)}
       301:{1,4,5,6}:{(248,1),(252,1),(269,1),(342,1),(355,1),(356,1),(454,1),(459,1),(466,1),(505,1),(512,1)}
       302:{1,4,7}:{(249,1),(250,1),(353,1),(357,1)}
       303:{2,5,7}:{(250,1),(251,1),(354,1),(357,1),(358,1)}
       304:{1,3,6}:{(251,1),(252,1),(273,1),(346,1),(358,1)}
       305:{1,4,6,7}:{(252,1),(253,1),(274,1),(347,1),(356,1),(359,1),(456,1)}
       306:{1,3,6}:{(254,1),(255,1),(258,1),(360,1),(361,1)}
       307:{2,4,6}:{(255,1),(256,1),(259,1),(361,1),(362,1)}
       308:{3,5}:{(256,1),(257,1),(362,1)}
       309:{4,5,6}:{(257,1),(261,1),(363,1),(364,1)}
       310:{2,3,5,7}:{(258,1),(270,1),(360,1),(365,1),(369,1),(377,1),(458,1),(461,1)}
       311:{1,4,7}:{(258,1),(259,1),(361,1),(365,1),(370,1)}
       312:{2,4,5,7}:{(259,1),(260,1),(272,1),(362,1),(366,1),(367,1),(371,1),(460,1),(467,1)}
       313:{3,4,6}:{(260,1),(261,1),(273,1),(363,1),(367,1)}
       314:{4,6,7}:{(261,1),(262,1),(364,1),(552,1)}
       315:{1,3,5}:{(263,1),(264,1),(266,1),(369,1),(370,1)}
       316:{2,4}:{(264,1),(265,1),(370,1)}
       317:{3,4,5}:{(265,1),(268,1),(371,1),(372,1),(541,1)}
       318:{2,3,6}:{(266,1),(270,1),(369,1),(373,1),(448,1),(525,1)}
       319:{1,3,4,6}:{(266,1),(267,1),(271,1),(353,1),(361,1),(370,1),(373,1),(374,1),(378,1),(449,1),(457,1),(464,1),(466,1),(518,1),(525,1)}
       320:{2,3,5}:{(267,1),(268,1),(354,1),(362,1),(371,1),(374,1)}
       321:{3,5,6}:{(268,1),(269,1),(273,1),(372,1),(376,1),(545,1)}
       322:{2,4,5,7}:{(269,1),(274,1),(356,1),(364,1),(376,1),(455,1),(460,1),(467,1),(543,1),(546,1),(552,1)}
       323:{2,4,7}:{(270,1),(271,1),(373,1),(377,1),(547,1)}
       324:{1,3,5,7}:{(271,1),(272,1),(357,1),(366,1),(374,1),(377,1),(378,1),(461,1)}
       325:{2,3,6}:{(272,1),(273,1),(358,1),(367,1),(378,1)}
       326:{3,6,7}:{(273,1),(274,1),(376,1)}
       327:{1,2,6}:{(275,1),(278,1),(380,1),(409,1),(486,1)}
       328:{2,3,6}:{(275,1),(276,1),(279,1),(380,1),(381,1)}
       329:{3,4,6}:{(276,1),(277,1),(280,1),(381,1),(382,1)}
       330:{4,5}:{(277,1),(382,1)}
       331:{1,3,5,7}:{(278,1),(279,1),(289,1),(380,1),(384,1),(385,1),(389,1),(472,1)}
       332:{2,4,7}:{(279,1),(280,1),(381,1),(385,1),(390,1)}
       333:{3,4,5,7}:{(280,1),(281,1),(291,1),(382,1),(386,1),(387,1),(391,1),(474,1),(482,1)}
       334:{4,6}:{(281,1),(282,1)}
       335:{3,5,6,7}:{(282,1),(293,1),(388,1),(400,1),(474,1),(539,1)}
       336:{1,2,5}:{(283,1),(285,1),(389,1),(406,1),(472,1),(483,1)}
       337:{2,3,5}:{(283,1),(284,1),(286,1),(389,1),(390,1)}
       338:{3,4}:{(284,1),(390,1)}
       339:{1,3,6}:{(285,1),(286,1),(289,1),(389,1),(392,1),(401,1)}
       340:{2,3,4,6}:{(286,1),(287,1),(290,1),(299,1),(381,1),(390,1),(393,1),(394,1),(399,1),(402,1),(481,1),(490,1)}
       341:{3,5}:{(287,1),(288,1)}
       342:{2,4,5,6}:{(288,1),(292,1),(301,1),(383,1),(395,1),(396,1),(407,1),(473,1),(481,1),(495,1),(500,1),(538,1)}
       343:{2,3,7}:{(289,1),(392,1),(397,1),(551,1)}
       344:{1,3,4,7}:{(289,1),(290,1),(302,1),(385,1),(393,1),(397,1),(398,1),(475,1),(534,1),(537,1),(551,1)}
       345:{2,3,5,7}:{(290,1),(291,1),(303,1),(386,1),(394,1),(398,1),(399,1)}
       346:{3,6}:{(291,1),(292,1)}
       347:{2,4,6,7}:{(292,1),(293,1),(305,1),(388,1),(396,1),(400,1),(410,1)}
       348:{1,2,4}:{(294,1),(295,1),(401,1),(403,1),(488,1)}
       349:{2,3}:{(294,1),(401,1)}
       350:{1,3,5}:{(295,1),(296,1),(298,1),(401,1),(403,1),(406,1)}
       351:{2,4}:{(296,1),(297,1),(403,1)}
       352:{1,3,4,5}:{(297,1),(300,1),(317,1),(391,1),(404,1),(405,1),(420,1),(480,1),(489,1),(499,1),(532,1)}
       353:{1,4,6}:{(298,1),(299,1),(302,1),(403,1),(406,1),(409,1)}
       354:{2,5}:{(299,1),(300,1),(406,1)}
       355:{1,3,5,6}:{(300,1),(301,1),(304,1),(321,1),(395,1),(405,1),(407,1),(408,1)}
       356:{1,4,5,7}:{(301,1),(305,1),(322,1),(396,1),(408,1),(493,1),(496,1),(501,1),(529,1),(534,1)}
       357:{1,5,7}:{(302,1),(303,1),(406,1),(409,1)}
       358:{2,6}:{(303,1),(304,1),(409,1)}
       359:{1,3,6,7}:{(304,1),(305,1),(326,1),(400,1),(408,1),(410,1)}
       360:{2,3,6}:{(306,1),(310,1),(411,1),(426,1),(497,1)}
       361:{1,4,6}:{(306,1),(307,1),(311,1),(411,1),(412,1)}
       362:{2,5}:{(307,1),(308,1),(412,1)}
       363:{3,5,6}:{(308,1),(309,1),(313,1),(413,1),(414,1)}
       364:{4,5,7}:{(309,1),(314,1),(414,1)}
       365:{2,4,7}:{(310,1),(311,1),(411,1),(415,1),(419,1)}
       366:{1,4,5,7}:{(311,1),(312,1),(324,1),(412,1),(416,1),(417,1),(420,1),(496,1),(501,1)}
       367:{2,4,6}:{(312,1),(313,1),(325,1),(413,1),(417,1)}
       368:{3,4,6,7}:{(313,1),(314,1),(326,1),(414,1),(418,1),(422,1)}
       369:{2,3,5}:{(315,1),(318,1),(419,1),(423,1),(499,1)}
       370:{1,4}:{(315,1),(316,1),(419,1)}
       371:{2,4,5}:{(316,1),(317,1),(320,1),(420,1),(421,1)}
       372:{3,4,6}:{(317,1),(321,1),(421,1),(422,1),(549,1)}
       373:{2,4,6}:{(318,1),(319,1),(323,1),(419,1),(423,1),(426,1),(488,1),(536,1)}
       374:{1,3,5}:{(319,1),(320,1),(406,1),(412,1),(420,1),(423,1),(494,1),(499,1)}
       375:{2,3,5,6}:{(320,1),(321,1),(325,1),(407,1),(413,1),(421,1),(424,1),(425,1),(490,1)}
       376:{3,5,7}:{(321,1),(322,1),(326,1),(422,1),(551,1)}
       377:{2,5,7}:{(323,1),(324,1),(423,1),(426,1)}
       378:{1,3,6}:{(324,1),(325,1),(409,1),(417,1),(426,1),(497,1)}
       379:{2,3,6,7}:{(325,1),(326,1),(410,1),(418,1),(425,1),(427,1)}
       380:{1,3,6}:{(327,1),(328,1),(331,1),(428,1),(429,1)}
       381:{2,4,6}:{(328,1),(329,1),(332,1),(429,1),(430,1)}
       382:{3,5}:{(329,1),(330,1),(430,1)}
       383:{4,5,6}:{(330,1),(334,1),(431,1),(432,1)}
       384:{2,3,5,7}:{(331,1),(343,1),(428,1),(433,1),(437,1),(445,1),(504,1),(507,1)}
       385:{1,4,7}:{(331,1),(332,1),(429,1),(433,1),(438,1)}
       386:{2,4,5,7}:{(332,1),(333,1),(345,1),(430,1),(434,1),(435,1),(439,1),(506,1),(513,1)}
       387:{3,4,6}:{(333,1),(334,1),(346,1),(431,1),(435,1)}
       388:{4,6,7}:{(334,1),(335,1),(432,1),(548,1)}
       389:{1,3,5}:{(336,1),(337,1),(339,1),(437,1),(438,1)}
       390:{2,4}:{(337,1),(338,1),(438,1)}
       391:{3,4,5}:{(338,1),(341,1),(439,1),(440,1),(521,1)}
       392:{2,3,6}:{(339,1),(343,1),(437,1),(441,1),(448,1),(545,1)}
       393:{1,3,4,6}:{(339,1),(340,1),(344,1),(353,1),(429,1),(438,1),(441,1),(442,1),(446,1),(449,1),(503,1),(510,1),(512,1),(518,1),(545,1)}
       394:{2,3,5}:{(340,1),(341,1),(354,1),(430,1),(439,1),(442,1)}
       395:{3,5,6}:{(341,1),(342,1),(346,1),(440,1),(444,1),(525,1)}
       396:{2,4,5,7}:{(342,1),(347,1),(356,1),(432,1),(444,1),(455,1),(506,1),(513,1),(523,1),(526,1),(548,1)}
       397:{2,4,7}:{(343,1),(344,1),(441,1),(445,1),(547,1)}
       398:{1,3,5,7}:{(344,1),(345,1),(357,1),(434,1),(442,1),(445,1),(446,1),(507,1)}
       399:{2,3,6}:{(345,1),(346,1),(358,1),(435,1),(446,1)}
       400:{3,6,7}:{(346,1),(347,1),(444,1)}
       401:{1,3}:{(348,1),(349,1),(448,1)}
       402:{2,3,4}:{(349,1),(351,1),(449,1),(450,1),(464,1),(510,1)}
       403:{1,4}:{(350,1),(351,1)}
       404:{2,4,5}:{(351,1),(352,1),(354,1),(450,1),(451,1),(452,1),(517,1)}
       405:{1,3,4,6}:{(352,1),(355,1),(372,1),(440,1),(452,1),(453,1),(466,1),(512,1),(518,1),(525,1),(545,1)}
       406:{1,5}:{(353,1),(354,1)}
       407:{2,5,6}:{(354,1),(355,1),(358,1),(452,1),(454,1),(455,1)}
       408:{1,3,5,7}:{(355,1),(356,1),(359,1),(376,1),(444,1),(453,1),(455,1)}
       409:{1,6}:{(357,1),(358,1)}
       410:{2,6,7}:{(358,1),(359,1),(455,1),(456,1)}
       411:{2,4,6}:{(360,1),(361,1),(365,1),(457,1),(458,1)}
       412:{1,5}:{(361,1),(362,1),(458,1)}
       413:{2,5,6}:{(362,1),(363,1),(367,1),(459,1),(460,1)}
       414:{3,5,7}:{(363,1),(364,1),(368,1),(460,1)}
       415:{3,4,7}:{(365,1),(457,1),(461,1),(464,1),(548,1)}
       416:{2,4,5,7}:{(365,1),(366,1),(377,1),(458,1),(461,1),(462,1),(465,1),(521,1),(523,1),(526,1),(548,1)}
       417:{1,4,6}:{(366,1),(367,1),(378,1),(459,1),(462,1)}
       418:{2,4,6,7}:{(367,1),(368,1),(379,1),(460,1),(463,1),(467,1)}
       419:{2,4}:{(369,1),(370,1),(464,1)}
       420:{1,4,5}:{(370,1),(371,1),(374,1),(465,1),(466,1),(521,1)}
       421:{2,4,6}:{(371,1),(372,1),(375,1),(466,1),(467,1)}
       422:{3,4,7}:{(372,1),(376,1),(467,1),(552,1)}
       423:{2,5}:{(373,1),(374,1)}
       424:{1,3,5,6}:{(374,1),(375,1),(378,1),(454,1),(459,1),(466,1),(468,1),(469,1),(518,1),(522,1),(525,1)}
       425:{2,3,5,7}:{(375,1),(376,1),(379,1),(455,1),(460,1),(467,1),(469,1),(519,1)}
       426:{2,6}:{(377,1),(378,1)}
       427:{1,3,6,7}:{(378,1),(379,1),(456,1),(463,1),(469,1),(470,1),(524,1)}
       428:{2,3,6}:{(380,1),(384,1),(471,1),(486,1),(530,1)}
       429:{1,4,6}:{(380,1),(381,1),(385,1),(471,1),(472,1)}
       430:{2,5}:{(381,1),(382,1),(472,1)}
       431:{3,5,6}:{(382,1),(383,1),(387,1),(473,1),(474,1)}
       432:{4,5,7}:{(383,1),(388,1),(474,1)}
       433:{2,4,7}:{(384,1),(385,1),(471,1),(475,1),(479,1)}
       434:{1,4,5,7}:{(385,1),(386,1),(398,1),(472,1),(476,1),(477,1),(480,1),(529,1),(534,1)}
       435:{2,4,6}:{(386,1),(387,1),(399,1),(473,1),(477,1)}
       436:{3,4,6,7}:{(387,1),(388,1),(400,1),(474,1),(478,1),(482,1)}
       437:{2,3,5}:{(389,1),(392,1),(479,1),(483,1),(532,1)}
       438:{1,4}:{(389,1),(390,1),(479,1)}
       439:{2,4,5}:{(390,1),(391,1),(394,1),(480,1),(481,1)}
       440:{3,4,6}:{(391,1),(395,1),(481,1),(482,1),(538,1)}
       441:{2,4,6}:{(392,1),(393,1),(397,1),(479,1),(483,1),(486,1),(488,1),(536,1)}
       442:{1,3,5}:{(393,1),(394,1),(406,1),(472,1),(480,1),(483,1),(527,1),(532,1)}
       443:{2,3,5,6}:{(394,1),(395,1),(399,1),(407,1),(473,1),(481,1),(484,1),(485,1),(490,1)}
       444:{3,5,7}:{(395,1),(396,1),(400,1),(482,1),(540,1)}
       445:{2,5,7}:{(397,1),(398,1),(483,1),(486,1)}
       446:{1,3,6}:{(398,1),(399,1),(409,1),(477,1),(486,1),(530,1)}
       447:{2,3,6,7}:{(399,1),(400,1),(410,1),(478,1),(485,1),(487,1)}
       448:{2,3}:{(401,1),(488,1)}
       449:{1,3,4}:{(401,1),(402,1),(403,1),(488,1),(489,1)}
       450:{2,3,5}:{(402,1),(404,1),(489,1),(490,1),(499,1),(532,1)}
       451:{1,4,5}:{(403,1),(404,1),(406,1),(489,1),(491,1)}
       452:{2,4,6}:{(404,1),(405,1),(407,1),(490,1),(491,1),(492,1),(536,1)}
       453:{1,3,4,7}:{(405,1),(408,1),(422,1),(482,1),(492,1),(501,1),(534,1),(537,1),(540,1),(551,1)}
       454:{1,5,6}:{(406,1),(407,1),(409,1),(491,1),(493,1)}
       455:{2,5,7}:{(407,1),(408,1),(410,1),(492,1),(493,1)}
       456:{1,6,7}:{(409,1),(410,1),(493,1)}
       457:{3,4,6}:{(411,1),(415,1),(494,1),(497,1),(538,1)}
       458:{2,5}:{(411,1),(412,1),(494,1)}
       459:{1,5,6}:{(412,1),(413,1),(417,1),(495,1),(496,1)}
       460:{2,5,7}:{(413,1),(414,1),(418,1),(496,1)}
       461:{3,5,7}:{(415,1),(416,1),(494,1),(497,1),(499,1),(540,1)}
       462:{2,4,6}:{(416,1),(417,1),(426,1),(495,1),(497,1),(538,1)}
       463:{1,4,6,7}:{(417,1),(418,1),(427,1),(496,1),(498,1),(501,1)}
       464:{3,4}:{(419,1),(499,1)}
       465:{2,4,5}:{(419,1),(420,1),(423,1),(499,1),(500,1)}
       466:{1,4,6}:{(420,1),(421,1),(424,1),(500,1),(501,1),(538,1)}
       467:{2,4,7}:{(421,1),(422,1),(425,1),(501,1)}
       468:{2,5,6}:{(423,1),(424,1),(426,1),(500,1),(502,1),(536,1)}
       469:{1,3,5,7}:{(424,1),(425,1),(427,1),(493,1),(496,1),(501,1),(502,1),(537,1),(539,1),(540,1)}
       470:{2,6,7}:{(426,1),(427,1),(502,1)}
       471:{2,4,6}:{(428,1),(429,1),(433,1),(503,1),(504,1)}
       472:{1,5}:{(429,1),(430,1),(504,1)}
       473:{2,5,6}:{(430,1),(431,1),(435,1),(505,1),(506,1)}
       474:{3,5,7}:{(431,1),(432,1),(436,1),(506,1)}
       475:{3,4,7}:{(433,1),(503,1),(507,1),(510,1),(552,1)}
       476:{2,4,5,7}:{(433,1),(434,1),(445,1),(504,1),(507,1),(508,1),(511,1),(541,1),(543,1),(546,1),(552,1)}
       477:{1,4,6}:{(434,1),(435,1),(446,1),(505,1),(508,1)}
       478:{2,4,6,7}:{(435,1),(436,1),(447,1),(506,1),(509,1),(513,1)}
       479:{2,4}:{(437,1),(438,1),(510,1)}
       480:{1,4,5}:{(438,1),(439,1),(442,1),(511,1),(512,1),(541,1)}
       481:{2,4,6}:{(439,1),(440,1),(443,1),(512,1),(513,1)}
       482:{3,4,7}:{(440,1),(444,1),(513,1),(548,1)}
       483:{2,5}:{(441,1),(442,1)}
       484:{1,3,5,6}:{(442,1),(443,1),(446,1),(454,1),(505,1),(512,1),(514,1),(515,1),(518,1),(542,1),(545,1)}
       485:{2,3,5,7}:{(443,1),(444,1),(447,1),(455,1),(506,1),(513,1),(515,1),(519,1)}
       486:{2,6}:{(445,1),(446,1)}
       487:{1,3,6,7}:{(446,1),(447,1),(456,1),(509,1),(515,1),(516,1),(544,1)}
       488:{2,4}:{(448,1),(449,1),(517,1)}
       489:{1,3,5}:{(449,1),(450,1),(451,1),(517,1),(518,1)}
       490:{2,3,6}:{(450,1),(452,1),(518,1),(519,1),(525,1),(545,1)}
       491:{1,4,6}:{(451,1),(452,1),(454,1),(518,1),(520,1)}
       492:{2,4,7}:{(452,1),(453,1),(455,1),(519,1),(520,1),(547,1)}
       493:{1,5,7}:{(454,1),(455,1),(456,1),(520,1)}
       494:{3,5}:{(457,1),(458,1),(521,1)}
       495:{2,5,6}:{(458,1),(459,1),(462,1),(522,1),(523,1)}
       496:{1,5,7}:{(459,1),(460,1),(463,1),(523,1)}
       497:{3,6}:{(461,1),(462,1)}
       498:{2,4,6,7}:{(462,1),(463,1),(470,1),(523,1),(524,1),(526,1),(548,1)}
       499:{3,5}:{(464,1),(465,1),(525,1)}
       500:{2,4,6}:{(465,1),(466,1),(468,1),(525,1),(526,1)}
       501:{1,4,7}:{(466,1),(467,1),(469,1),(526,1),(548,1)}
       502:{2,5,7}:{(468,1),(469,1),(470,1),(526,1),(547,1)}
       503:{3,4,6}:{(471,1),(475,1),(527,1),(530,1),(549,1)}
       504:{2,5}:{(471,1),(472,1),(527,1)}
       505:{1,5,6}:{(472,1),(473,1),(477,1),(528,1),(529,1)}
       506:{2,5,7}:{(473,1),(474,1),(478,1),(529,1)}
       507:{3,5,7}:{(475,1),(476,1),(527,1),(530,1),(532,1),(551,1)}
       508:{2,4,6}:{(476,1),(477,1),(486,1),(528,1),(530,1),(549,1)}
       509:{1,4,6,7}:{(477,1),(478,1),(487,1),(529,1),(531,1),(534,1)}
       510:{3,4}:{(479,1),(532,1)}
       511:{2,4,5}:{(479,1),(480,1),(483,1),(532,1),(533,1)}
       512:{1,4,6}:{(480,1),(481,1),(484,1),(533,1),(534,1),(549,1)}
       513:{2,4,7}:{(481,1),(482,1),(485,1),(534,1)}
       514:{2,5,6}:{(483,1),(484,1),(486,1),(533,1),(535,1),(536,1)}
       515:{1,3,5,7}:{(484,1),(485,1),(487,1),(493,1),(529,1),(534,1),(535,1),(537,1),(550,1),(551,1)}
       516:{2,6,7}:{(486,1),(487,1),(535,1)}
       517:{2,5}:{(488,1),(489,1),(536,1)}
       518:{1,3,6}:{(489,1),(490,1),(491,1),(536,1),(537,1)}
       519:{2,3,7}:{(490,1),(492,1),(537,1),(540,1),(551,1)}
       520:{1,4,7}:{(491,1),(492,1),(493,1),(537,1)}
       521:{4,5}:{(494,1),(538,1)}
       522:{3,5,6}:{(494,1),(495,1),(497,1),(538,1),(539,1)}
       523:{2,5,7}:{(495,1),(496,1),(498,1),(539,1)}
       524:{3,6,7}:{(497,1),(498,1),(539,1),(540,1)}
       525:{3,6}:{(499,1),(500,1),(540,1)}
       526:{2,4,7}:{(500,1),(501,1),(502,1),(540,1)}
       527:{3,5}:{(503,1),(504,1),(541,1)}
       528:{2,5,6}:{(504,1),(505,1),(508,1),(542,1),(543,1)}
       529:{1,5,7}:{(505,1),(506,1),(509,1),(543,1)}
       530:{3,6}:{(507,1),(508,1)}
       531:{2,4,6,7}:{(508,1),(509,1),(516,1),(543,1),(544,1),(546,1),(552,1)}
       532:{3,5}:{(510,1),(511,1),(545,1)}
       533:{2,4,6}:{(511,1),(512,1),(514,1),(545,1),(546,1)}
       534:{1,4,7}:{(512,1),(513,1),(515,1),(546,1),(552,1)}
       535:{2,5,7}:{(514,1),(515,1),(516,1),(546,1),(547,1)}
       536:{2,6}:{(517,1),(518,1),(547,1)}
       537:{1,3,7}:{(518,1),(519,1),(520,1),(547,1)}
       538:{4,6}:{(521,1),(522,1),(548,1)}
       539:{3,5,7}:{(522,1),(523,1),(524,1),(548,1)}
       540:{3,7}:{(525,1),(526,1)}
       541:{4,5}:{(527,1),(549,1)}
       542:{3,5,6}:{(527,1),(528,1),(530,1),(549,1),(550,1)}
       543:{2,5,7}:{(528,1),(529,1),(531,1),(550,1)}
       544:{3,6,7}:{(530,1),(531,1),(550,1),(551,1)}
       545:{3,6}:{(532,1),(533,1),(551,1)}
       546:{2,4,7}:{(533,1),(534,1),(535,1),(551,1)}
       547:{2,7}:{(536,1),(537,1)}
       548:{4,7}:{(538,1),(539,1)}
       549:{4,6}:{(541,1),(542,1),(552,1)}
       550:{3,5,7}:{(542,1),(543,1),(544,1),(552,1)}
       551:{3,7}:{(545,1),(546,1)}
       552:{4,7}:{(549,1),(550,1)}

 262 :  0:{3,4}:{(2,1),(3,1)}
        1:{2,3}:{(2,1),(4,1)}
        2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
        3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
        4:{1,3}:{(1,1),(5,1),(9,1),(15,1)}
        5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
        6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
        7:{4,5}:{(3,1),(13,1)}
        8:{3,6}:{(3,1),(12,1),(13,1),(14,1)}
        9:{2}:{(4,1)}
       10:{2,4}:{(5,1),(9,1),(15,1),(16,1),(25,1)}
       11:{1,5}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,6}:{(6,1),(8,1),(17,1),(18,1)}
       13:{4,6}:{(7,1),(8,1),(19,1),(20,1)}
       14:{3,7}:{(8,1),(18,1),(20,1)}
       15:{3}:{(10,1)}
       16:{2,5}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,6}:{(11,1),(12,1),(22,1),(23,1)}
       18:{2,7}:{(12,1),(14,1),(23,1)}
       19:{5,6}:{(13,1),(24,1)}
       20:{4,7}:{(13,1),(14,1),(24,1)}
       21:{3,5}:{(15,1),(16,1),(25,1),(26,1),(31,1)}
       22:{2,6}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,7}:{(17,1),(18,1),(27,1)}
       24:{5,7}:{(19,1),(20,1),(28,1)}
       25:{4}:{(21,1)}
       26:{3,6}:{(21,1),(22,1),(29,1),(30,1)}
       27:{2,7}:{(22,1),(23,1),(30,1)}
       28:{6,7}:{(24,1)}
       29:{4,6}:{(25,1),(26,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 263 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 264 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(6,1),(24,1),(27,1),(52,1),(92,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(24,1),(27,1),(33,1),(58,1),(71,1),(95,1),(96,1),(104,1),(122,1),(134,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(34,1),(38,1),(45,1),(72,1),(74,1),(107,1)}
         3:{2,4,7}:{(0,1),(9,1),(11,1),(12,1),(108,1)}
         4:{2,3,6}:{(0,1),(10,1),(12,1),(16,1),(46,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(13,1),(14,1),(15,1),(38,1),(45,1),(49,1),(77,1),(78,1),(89,1),(109,1),(113,1),(114,1)}
         6:{3,5,7}:{(1,1),(11,1),(16,1),(39,1),(110,1),(111,1),(116,1),(128,1)}
         7:{2,4,6}:{(1,1),(15,1),(16,1),(18,1),(46,1),(51,1)}
         8:{2,5,7}:{(2,1),(19,1),(20,1),(54,1),(90,1),(117,1)}
         9:{1,4,7}:{(2,1),(3,1),(19,1),(22,1),(93,1),(118,1)}
        10:{1,3,6}:{(2,1),(4,1),(20,1),(22,1),(53,1),(66,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(71,1),(119,1),(134,1)}
        12:{2,4,6}:{(3,1),(4,1),(22,1),(23,1),(24,1)}
        13:{2,4,5,7}:{(5,1),(19,1),(25,1),(26,1),(27,1),(54,1),(59,1),(65,1),(93,1),(95,1),(98,1),(99,1),(101,1),(104,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(57,1),(120,1),(123,1)}
        15:{1,4,6}:{(5,1),(7,1),(26,1),(28,1),(30,1),(66,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{2,4,6,7}:{(7,1),(29,1),(31,1),(33,1),(67,1),(71,1),(104,1)}
        18:{2,5,6}:{(7,1),(24,1),(30,1),(32,1),(33,1),(122,1)}
        19:{2,4,7}:{(8,1),(9,1),(34,1),(35,1),(125,1)}
        20:{2,6}:{(8,1),(10,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(14,1),(34,1),(36,1),(37,1),(40,1),(72,1),(78,1),(89,1),(111,1),(116,1),(126,1)}
        22:{1,4,6}:{(9,1),(10,1),(12,1),(35,1),(38,1)}
        23:{3,4,6}:{(11,1),(12,1),(16,1),(39,1),(51,1)}
        24:{2,5}:{(12,1),(38,1),(39,1)}
        25:{3,5,7}:{(13,1),(34,1),(40,1),(42,1),(74,1),(80,1),(110,1),(116,1)}
        26:{2,4,6}:{(13,1),(15,1),(42,1),(44,1),(46,1),(84,1)}
        27:{2,5,7}:{(14,1),(36,1),(45,1),(46,1),(76,1),(127,1),(129,1)}
        28:{1,3,6}:{(14,1),(15,1),(16,1),(42,1),(46,1)}
        29:{1,4,6,7}:{(15,1),(17,1),(43,1),(47,1),(49,1),(85,1),(89,1),(114,1)}
        30:{1,5,6}:{(15,1),(18,1),(38,1),(44,1),(49,1),(113,1)}
        31:{3,6,7}:{(16,1),(17,1),(50,1),(116,1)}
        32:{3,5,6}:{(16,1),(18,1),(39,1),(50,1),(51,1),(128,1)}
        33:{2,5,7}:{(17,1),(18,1),(49,1),(50,1)}
        34:{3,7}:{(19,1),(53,1),(131,1)}
        35:{2,4,6}:{(19,1),(20,1),(22,1),(53,1),(54,1),(93,1)}
        36:{2,4,7}:{(21,1),(27,1),(52,1),(55,1),(56,1),(90,1),(132,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(23,1),(28,1),(53,1),(56,1),(57,1),(60,1),(70,1),(91,1),(93,1),(97,1),(105,1),(118,1),(119,1),(121,1),(131,1),(134,1)}
        38:{1,5}:{(22,1),(24,1),(54,1)}
        39:{3,5}:{(23,1),(24,1),(58,1)}
        40:{3,4,7}:{(25,1),(59,1),(60,1),(93,1),(101,1),(119,1)}
        41:{2,3,5,7}:{(25,1),(27,1),(52,1),(59,1),(61,1),(62,1),(92,1),(98,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{2,4,6,7}:{(26,1),(29,1),(63,1),(65,1),(67,1),(101,1),(104,1)}
        44:{2,5,6}:{(26,1),(30,1),(54,1),(64,1),(65,1),(98,1)}
        45:{1,5,7}:{(27,1),(55,1),(66,1),(94,1),(133,1),(135,1)}
        46:{2,6}:{(27,1),(28,1),(66,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(31,1),(63,1),(67,1),(69,1),(123,1)}
        48:{1,3,5,6}:{(28,1),(30,1),(32,1),(57,1),(64,1),(68,1),(69,1),(70,1),(105,1)}
        49:{1,5,7}:{(29,1),(30,1),(33,1),(65,1)}
        50:{3,5,7}:{(31,1),(32,1),(33,1),(71,1)}
        51:{4,6}:{(32,1),(58,1),(71,1),(134,1)}
        52:{2,3,7}:{(34,1),(36,1),(72,1),(73,1),(111,1),(116,1),(129,1),(136,1)}
        53:{3,6}:{(34,1),(35,1),(74,1)}
        54:{2,5}:{(35,1),(38,1),(74,1)}
        55:{1,4,7}:{(36,1),(45,1),(72,1),(75,1),(137,1)}
        56:{2,4,6}:{(36,1),(37,1),(46,1),(73,1),(75,1),(76,1),(106,1),(108,1),(125,1)}
        57:{1,3,5}:{(37,1),(38,1),(39,1),(74,1),(76,1),(77,1),(80,1),(110,1),(113,1),(128,1)}
        58:{4,5}:{(39,1),(51,1)}
        59:{2,4,7}:{(40,1),(41,1),(78,1),(79,1),(108,1)}
        60:{3,4,6}:{(40,1),(42,1),(79,1),(80,1),(84,1)}
        61:{1,3,5,7}:{(41,1),(45,1),(72,1),(78,1),(81,1),(82,1),(107,1),(111,1),(113,1),(128,1)}
        62:{2,3,6}:{(41,1),(42,1),(46,1),(79,1),(82,1)}
        63:{3,6,7}:{(42,1),(43,1),(83,1),(116,1)}
        64:{3,5,6}:{(42,1),(44,1),(74,1),(80,1),(83,1),(84,1)}
        65:{2,5,7}:{(43,1),(44,1),(49,1),(83,1)}
        66:{1,6}:{(45,1),(46,1)}
        67:{2,6,7}:{(46,1),(47,1),(85,1),(87,1),(129,1)}
        68:{2,5,6}:{(46,1),(48,1),(76,1),(86,1),(87,1),(88,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(49,1),(50,1),(83,1),(87,1),(89,1),(116,1)}
        70:{1,4,6}:{(48,1),(51,1),(77,1),(84,1),(88,1),(89,1),(130,1)}
        71:{4,7}:{(50,1),(51,1)}
        72:{1,3,7}:{(52,1),(55,1),(90,1),(91,1),(135,1),(138,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(91,1),(92,1),(105,1),(121,1),(124,1),(131,1)}
        74:{3,5}:{(53,1),(54,1),(93,1)}
        75:{1,4,6}:{(55,1),(56,1),(66,1),(91,1),(94,1),(118,1)}
        76:{2,5}:{(56,1),(57,1),(94,1)}
        77:{1,4,5}:{(57,1),(58,1),(70,1),(93,1),(95,1),(99,1),(118,1),(133,1),(134,1)}
        78:{1,4,7}:{(59,1),(61,1),(96,1),(97,1),(118,1),(134,1)}
        79:{2,4,6}:{(59,1),(60,1),(62,1),(97,1),(98,1)}
        80:{3,5}:{(60,1),(98,1),(99,1)}
        81:{2,5,7}:{(61,1),(90,1),(96,1),(100,1),(117,1),(122,1)}
        82:{1,3,6}:{(61,1),(62,1),(66,1),(97,1),(100,1),(121,1)}
        83:{3,5,7}:{(63,1),(64,1),(65,1),(101,1)}
        84:{4,6}:{(64,1),(93,1),(99,1),(101,1)}
        85:{1,6,7}:{(66,1),(67,1),(102,1),(135,1)}
        86:{1,5,6}:{(66,1),(68,1),(94,1),(102,1),(103,1)}
        87:{2,5,7}:{(67,1),(68,1),(69,1),(102,1),(104,1)}
        88:{2,4,6}:{(68,1),(70,1),(95,1),(103,1),(104,1),(105,1),(124,1)}
        89:{1,4,7}:{(69,1),(70,1),(71,1),(101,1),(104,1),(135,1)}
        90:{2,7}:{(72,1),(106,1),(139,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(106,1),(107,1),(130,1)}
        92:{2,3,5}:{(73,1),(74,1),(76,1),(107,1),(108,1),(110,1),(127,1),(128,1),(136,1)}
        93:{4}:{(74,1)}
        94:{1,5}:{(75,1),(76,1)}
        95:{2,4,5}:{(76,1),(77,1),(88,1),(108,1),(109,1),(110,1),(125,1),(127,1)}
        96:{2,4,7}:{(78,1),(81,1),(111,1),(112,1),(125,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1),(112,1),(113,1)}
        98:{2,5}:{(79,1),(80,1),(113,1)}
        99:{4,5}:{(80,1),(84,1)}
       100:{2,6}:{(81,1),(82,1)}
       101:{4,7}:{(83,1),(84,1)}
       102:{1,5,7}:{(85,1),(86,1),(87,1),(114,1)}
       103:{1,4,6}:{(86,1),(88,1),(109,1),(114,1),(115,1)}
       104:{2,4,7}:{(87,1),(88,1),(89,1),(114,1),(116,1),(129,1)}
       105:{3,6}:{(88,1),(110,1),(116,1)}
       106:{2,6}:{(90,1),(91,1),(117,1)}
       107:{1,3,5}:{(91,1),(92,1),(94,1),(117,1),(118,1),(131,1),(133,1),(138,1)}
       108:{2,4}:{(92,1),(93,1),(118,1),(119,1),(134,1)}
       109:{1,4,5}:{(94,1),(95,1),(103,1),(118,1),(120,1)}
       110:{3,5}:{(95,1),(105,1),(119,1),(131,1)}
       111:{3,7}:{(96,1),(121,1),(131,1)}
       112:{2,4,6}:{(96,1),(97,1),(100,1),(121,1),(122,1),(134,1)}
       113:{1,5}:{(97,1),(98,1),(122,1)}
       114:{1,4,7}:{(102,1),(103,1),(104,1),(123,1)}
       115:{1,3,6}:{(103,1),(105,1),(120,1),(123,1),(124,1)}
       116:{3,7}:{(104,1),(105,1)}
       117:{2,5}:{(106,1),(107,1),(125,1),(139,1)}
       118:{1,4}:{(107,1),(108,1),(125,1)}
       119:{3,4}:{(108,1),(110,1)}
       120:{1,3,5}:{(109,1),(110,1),(115,1),(126,1),(127,1)}
       121:{3,6}:{(111,1),(112,1),(128,1)}
       122:{2,5}:{(112,1),(113,1),(128,1)}
       123:{1,3,7}:{(114,1),(115,1),(116,1),(129,1)}
       124:{2,6}:{(115,1),(127,1),(129,1),(130,1)}
       125:{2,4}:{(117,1),(118,1),(131,1)}
       126:{1,3,4}:{(118,1),(119,1),(120,1),(131,1),(132,1),(138,1)}
       127:{2,5}:{(120,1),(124,1),(132,1),(133,1)}
       128:{3,5}:{(121,1),(122,1),(134,1)}
       129:{2,7}:{(123,1),(124,1),(135,1)}
       130:{1,6}:{(124,1),(133,1),(135,1)}
       131:{3}:{(125,1)}
       132:{2,4}:{(126,1),(127,1),(136,1),(137,1),(139,1)}
       133:{1,5}:{(127,1),(130,1),(137,1)}
       134:{4}:{(128,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(131,1),(132,1),(138,1)}
       137:{1,4}:{(132,1),(133,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 265 :   0:{2,6,7}:{(3,1),(6,1),(8,1),(108,1),(138,1)}
         1:{2,5,6}:{(4,1),(7,1),(8,1),(9,1),(75,1),(108,1),(126,1),(138,1)}
         2:{2,4,5}:{(5,1),(9,1),(10,1),(32,1),(34,1),(37,1),(75,1),(104,1),(126,1),(140,1)}
         3:{1,6,7}:{(0,1),(11,1),(14,1),(120,1),(132,1)}
         4:{1,5,6}:{(1,1),(12,1),(14,1),(15,1),(94,1),(115,1),(120,1),(132,1)}
         5:{1,4,5}:{(2,1),(13,1),(15,1),(16,1),(51,1),(57,1),(86,1),(94,1),(115,1)}
         6:{3,6,7}:{(0,1),(17,1),(18,1),(92,1),(142,1)}
         7:{3,5,6}:{(1,1),(18,1),(19,1),(22,1),(52,1),(54,1),(92,1),(134,1),(142,1),(146,1)}
         8:{2,5,7}:{(0,1),(1,1),(14,1),(18,1),(21,1)}
         9:{2,4,6}:{(1,1),(2,1),(15,1),(19,1),(21,1),(22,1),(50,1)}
        10:{3,5}:{(2,1),(20,1),(22,1),(118,1)}
        11:{2,6,7}:{(3,1),(24,1),(26,1),(124,1),(129,1)}
        12:{2,5,6}:{(4,1),(25,1),(26,1),(27,1),(101,1),(110,1),(124,1),(129,1)}
        13:{2,4,5}:{(5,1),(27,1),(28,1),(32,1),(62,1),(65,1),(78,1),(101,1),(110,1),(131,1)}
        14:{1,5,7}:{(3,1),(4,1),(8,1),(26,1),(30,1)}
        15:{1,4,6}:{(4,1),(5,1),(9,1),(27,1),(30,1),(31,1),(72,1)}
        16:{1,3,5}:{(5,1),(10,1),(28,1),(29,1),(31,1),(32,1)}
        17:{4,6,7}:{(6,1),(33,1),(35,1),(73,1),(145,1)}
        18:{3,5,7}:{(6,1),(7,1),(8,1),(33,1),(35,1),(38,1)}
        19:{4,6}:{(7,1),(34,1),(35,1),(140,1)}
        20:{3,4}:{(10,1),(37,1),(140,1)}
        21:{2,4,7}:{(8,1),(9,1),(30,1),(35,1),(38,1),(71,1)}
        22:{3,6}:{(9,1),(10,1),(38,1)}
        23:{2,3,5}:{(10,1),(32,1),(37,1),(39,1),(40,1),(69,1),(75,1)}
        24:{3,6,7}:{(11,1),(41,1),(42,1),(113,1),(136,1)}
        25:{3,5,6}:{(12,1),(42,1),(43,1),(46,1),(81,1),(83,1),(113,1),(122,1),(136,1),(144,1)}
        26:{2,5,7}:{(11,1),(12,1),(14,1),(42,1),(45,1)}
        27:{2,4,6}:{(12,1),(13,1),(15,1),(43,1),(45,1),(46,1),(50,1)}
        28:{3,5}:{(13,1),(44,1),(46,1),(97,1)}
        29:{1,3,4}:{(16,1),(20,1),(44,1),(48,1),(57,1),(86,1),(90,1),(97,1),(118,1)}
        30:{1,4,7}:{(14,1),(15,1),(21,1),(45,1),(49,1),(91,1)}
        31:{1,3,6}:{(15,1),(16,1),(22,1),(46,1),(49,1),(50,1)}
        32:{2,5}:{(16,1),(48,1),(50,1),(51,1)}
        33:{5,7}:{(17,1),(52,1),(146,1)}
        34:{4,5}:{(19,1),(54,1),(146,1)}
        35:{4,7}:{(18,1),(19,1)}
        36:{3,4,6}:{(19,1),(20,1),(22,1),(54,1),(55,1),(56,1),(92,1)}
        37:{2,4}:{(20,1),(23,1),(57,1)}
        38:{3,7}:{(21,1),(22,1)}
        39:{2,3,6}:{(22,1),(23,1),(50,1),(56,1),(58,1),(59,1)}
        40:{1,3,5}:{(23,1),(51,1),(57,1),(59,1),(60,1),(90,1),(94,1),(97,1),(122,1)}
        41:{4,6,7}:{(24,1),(61,1),(63,1),(99,1),(141,1)}
        42:{3,5,7}:{(24,1),(25,1),(26,1),(61,1),(63,1),(66,1)}
        43:{4,6}:{(25,1),(62,1),(63,1),(131,1)}
        44:{3,4}:{(28,1),(65,1),(131,1)}
        45:{2,4,7}:{(26,1),(27,1),(30,1),(63,1),(66,1),(71,1)}
        46:{3,6}:{(27,1),(28,1),(66,1)}
        47:{2,3,5}:{(28,1),(32,1),(65,1),(67,1),(68,1),(69,1),(101,1)}
        48:{2,4}:{(29,1),(32,1),(69,1),(70,1),(107,1)}
        49:{1,3,7}:{(30,1),(31,1),(38,1),(66,1),(71,1)}
        50:{2,6}:{(31,1),(32,1),(71,1),(72,1)}
        51:{1,5}:{(32,1),(70,1),(72,1)}
        52:{5,6}:{(33,1),(73,1)}
        53:{4,5,7}:{(33,1),(34,1),(35,1),(73,1),(74,1)}
        54:{3,5}:{(34,1),(36,1),(75,1)}
        55:{3,4,7}:{(35,1),(36,1),(38,1),(74,1),(76,1)}
        56:{2,4,6}:{(36,1),(37,1),(39,1),(75,1),(76,1),(77,1),(108,1)}
        57:{1,4}:{(37,1),(40,1),(78,1),(131,1)}
        58:{2,3,7}:{(38,1),(39,1),(71,1),(76,1),(79,1)}
        59:{1,3,6}:{(39,1),(40,1),(72,1),(77,1),(79,1),(80,1),(112,1)}
        60:{2,5}:{(40,1),(78,1),(80,1),(107,1)}
        61:{5,7}:{(41,1),(81,1),(144,1)}
        62:{4,5}:{(43,1),(83,1),(144,1)}
        63:{4,7}:{(42,1),(43,1)}
        64:{3,4,6}:{(43,1),(44,1),(46,1),(83,1),(84,1),(85,1),(113,1)}
        65:{2,4}:{(44,1),(47,1),(86,1)}
        66:{3,7}:{(45,1),(46,1)}
        67:{2,3,6}:{(46,1),(47,1),(50,1),(85,1),(87,1),(88,1)}
        68:{1,3,5}:{(47,1),(51,1),(86,1),(88,1),(89,1),(90,1),(115,1),(118,1),(134,1)}
        69:{2,3}:{(48,1),(90,1),(97,1),(118,1)}
        70:{1,4}:{(48,1),(51,1),(90,1)}
        71:{2,7}:{(49,1),(50,1),(91,1)}
        72:{1,6}:{(50,1),(51,1),(91,1)}
        73:{4,6}:{(52,1),(53,1),(92,1)}
        74:{3,5,7}:{(53,1),(54,1),(55,1),(92,1),(93,1)}
        75:{2,5}:{(54,1),(56,1),(94,1)}
        76:{2,4,7}:{(55,1),(56,1),(58,1),(93,1),(95,1)}
        77:{1,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1),(96,1),(120,1)}
        78:{2,4}:{(57,1),(60,1),(97,1)}
        79:{1,3,7}:{(58,1),(59,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,6}:{(59,1),(60,1),(98,1)}
        81:{5,6}:{(61,1),(99,1)}
        82:{4,5,7}:{(61,1),(62,1),(63,1),(99,1),(100,1)}
        83:{3,5}:{(62,1),(64,1),(101,1)}
        84:{3,4,7}:{(63,1),(64,1),(66,1),(100,1),(102,1)}
        85:{2,4,6}:{(64,1),(65,1),(67,1),(101,1),(102,1),(103,1),(124,1)}
        86:{1,4}:{(65,1),(68,1),(104,1),(140,1)}
        87:{2,3,7}:{(66,1),(67,1),(71,1),(102,1),(105,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(103,1),(105,1),(106,1),(128,1)}
        89:{2,5}:{(68,1),(104,1),(106,1),(107,1)}
        90:{1,3}:{(69,1),(70,1),(107,1)}
        91:{1,7}:{(71,1),(72,1)}
        92:{3,6}:{(73,1),(74,1),(108,1)}
        93:{2,5,7}:{(74,1),(75,1),(76,1),(108,1),(109,1)}
        94:{1,5}:{(75,1),(77,1),(110,1)}
        95:{1,4,7}:{(76,1),(77,1),(79,1),(109,1),(111,1)}
        96:{2,4,6}:{(77,1),(78,1),(80,1),(110,1),(111,1),(112,1),(129,1),(131,1),(141,1)}
        97:{3}:{(78,1)}
        98:{2,7}:{(79,1),(80,1)}
        99:{4,6}:{(81,1),(82,1),(113,1)}
       100:{3,5,7}:{(82,1),(83,1),(84,1),(113,1),(114,1)}
       101:{2,5}:{(83,1),(85,1),(115,1)}
       102:{2,4,7}:{(84,1),(85,1),(87,1),(114,1),(116,1)}
       103:{1,4,6}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1),(132,1)}
       104:{2,4}:{(86,1),(89,1),(118,1)}
       105:{1,3,7}:{(87,1),(88,1),(91,1),(116,1),(119,1),(135,1)}
       106:{2,6}:{(88,1),(89,1),(119,1)}
       107:{2}:{(90,1)}
       108:{2,6}:{(92,1),(93,1),(120,1)}
       109:{1,5,7}:{(93,1),(94,1),(95,1),(120,1),(121,1)}
       110:{2,5}:{(94,1),(96,1),(122,1),(144,1)}
       111:{2,4,7}:{(95,1),(96,1),(98,1),(121,1),(123,1),(137,1)}
       112:{3,6}:{(96,1),(97,1),(122,1),(123,1)}
       113:{3,6}:{(99,1),(100,1),(124,1)}
       114:{2,5,7}:{(100,1),(101,1),(102,1),(124,1),(125,1)}
       115:{1,5}:{(101,1),(103,1),(126,1)}
       116:{1,4,7}:{(102,1),(103,1),(105,1),(125,1),(127,1)}
       117:{2,4,6}:{(103,1),(104,1),(106,1),(126,1),(127,1),(128,1),(138,1),(140,1),(145,1)}
       118:{3}:{(104,1)}
       119:{2,7}:{(105,1),(106,1)}
       120:{1,6}:{(108,1),(109,1),(129,1)}
       121:{2,5,7}:{(109,1),(110,1),(111,1),(129,1),(130,1)}
       122:{3,5}:{(110,1),(112,1),(131,1)}
       123:{3,7}:{(111,1),(112,1)}
       124:{2,6}:{(113,1),(114,1),(132,1)}
       125:{1,5,7}:{(114,1),(115,1),(116,1),(132,1),(133,1)}
       126:{2,5}:{(115,1),(117,1),(134,1),(146,1)}
       127:{2,4,7}:{(116,1),(117,1),(119,1),(133,1),(135,1),(143,1)}
       128:{3,6}:{(117,1),(118,1),(134,1),(135,1)}
       129:{2,6}:{(120,1),(121,1),(136,1)}
       130:{3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1),(144,1)}
       131:{4}:{(122,1)}
       132:{1,6}:{(124,1),(125,1),(138,1)}
       133:{2,5,7}:{(125,1),(126,1),(127,1),(138,1),(139,1)}
       134:{3,5}:{(126,1),(128,1),(140,1)}
       135:{3,7}:{(127,1),(128,1)}
       136:{3,6}:{(129,1),(130,1),(141,1)}
       137:{4,7}:{(130,1),(131,1),(141,1)}
       138:{2,6}:{(132,1),(133,1),(142,1)}
       139:{3,5,7}:{(133,1),(134,1),(135,1),(142,1),(143,1),(146,1)}
       140:{4}:{(134,1)}
       141:{4,6}:{(136,1),(137,1),(144,1)}
       142:{3,6}:{(138,1),(139,1),(145,1)}
       143:{4,7}:{(139,1),(140,1),(145,1)}
       144:{5}:{(141,1)}
       145:{4,6}:{(142,1),(143,1),(146,1)}
       146:{5}:{(145,1)}

 266 :   0:{2,4,5,7}:{(1,1),(2,1),(3,1),(16,1),(19,1),(22,1),(63,1),(64,1),(65,1),(87,1),(97,1),(99,1),(117,1),(131,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(34,1),(35,1),(38,1),(67,1),(78,1),(81,1),(86,1),(106,1),(110,1),(112,1)}
         2:{3,5,7}:{(0,1),(7,1),(10,1),(40,1),(104,1),(111,1),(113,1),(125,1)}
         3:{2,4,6}:{(0,1),(6,1),(10,1),(11,1),(36,1),(44,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(16,1),(45,1),(48,1),(61,1),(89,1),(90,1),(91,1),(97,1),(99,1),(103,1),(124,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(16,1),(17,1),(55,1),(121,1),(122,1)}
         6:{1,4,6}:{(1,1),(3,1),(13,1),(17,1),(18,1),(58,1)}
         7:{3,4,7}:{(2,1),(19,1),(20,1),(65,1),(120,1),(131,1)}
         8:{2,4,6,7}:{(3,1),(15,1),(21,1),(22,1),(56,1),(65,1),(99,1)}
         9:{2,3,5,7}:{(2,1),(16,1),(19,1),(23,1),(24,1),(52,1),(63,1),(95,1)}
        10:{3,6}:{(2,1),(3,1)}
        11:{2,5,6}:{(3,1),(18,1),(22,1),(25,1),(63,1),(117,1)}
        12:{3,5,7}:{(4,1),(26,1),(29,1),(69,1),(84,1),(111,1),(113,1),(115,1)}
        13:{2,4,6}:{(4,1),(6,1),(29,1),(30,1),(36,1),(73,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(38,1),(67,1),(74,1),(81,1),(84,1),(104,1),(113,1),(127,1)}
        15:{1,4,6,7}:{(6,1),(8,1),(27,1),(33,1),(34,1),(79,1),(81,1),(112,1)}
        16:{2,5,7}:{(5,1),(31,1),(35,1),(36,1),(77,1),(128,1),(129,1)}
        17:{1,3,6}:{(5,1),(6,1),(10,1),(29,1),(36,1)}
        18:{1,5,6}:{(6,1),(11,1),(30,1),(34,1),(86,1),(106,1)}
        19:{2,4,7}:{(7,1),(9,1),(38,1),(39,1),(109,1)}
        20:{3,4,6}:{(7,1),(10,1),(39,1),(40,1),(44,1)}
        21:{3,6,7}:{(8,1),(10,1),(41,1),(113,1)}
        22:{2,5,7}:{(8,1),(11,1),(34,1),(41,1)}
        23:{1,3,5,7}:{(9,1),(35,1),(38,1),(42,1),(43,1),(74,1),(84,1),(86,1),(108,1),(115,1)}
        24:{2,3,6}:{(9,1),(10,1),(36,1),(39,1),(43,1)}
        25:{3,5,6}:{(10,1),(11,1),(40,1),(41,1),(44,1),(125,1)}
        26:{3,4,7}:{(12,1),(45,1),(46,1),(91,1),(120,1),(124,1)}
        27:{2,4,6,7}:{(13,1),(15,1),(47,1),(48,1),(56,1),(91,1),(99,1)}
        28:{2,3,5,7}:{(12,1),(16,1),(45,1),(49,1),(50,1),(52,1),(89,1),(95,1)}
        29:{3,6}:{(12,1),(13,1)}
        30:{2,5,6}:{(13,1),(18,1),(48,1),(51,1),(89,1),(103,1)}
        31:{2,4,7}:{(14,1),(16,1),(52,1),(53,1),(54,1),(93,1),(133,1)}
        32:{1,3,4,6}:{(14,1),(17,1),(20,1),(46,1),(54,1),(55,1),(60,1),(62,1),(88,1),(94,1),(101,1),(102,1),(116,1),(119,1),(120,1),(124,1),(131,1),(132,1)}
        33:{1,3,6,7}:{(15,1),(17,1),(21,1),(47,1),(56,1),(57,1),(122,1)}
        34:{1,5,7}:{(15,1),(18,1),(22,1),(48,1)}
        35:{1,5,7}:{(16,1),(53,1),(58,1),(96,1),(134,1),(135,1)}
        36:{2,6}:{(16,1),(17,1),(58,1)}
        37:{1,3,5,6}:{(17,1),(18,1),(25,1),(51,1),(55,1),(57,1),(59,1),(60,1),(101,1)}
        38:{1,4,7}:{(19,1),(23,1),(61,1),(62,1),(119,1),(124,1)}
        39:{2,4,6}:{(19,1),(20,1),(24,1),(62,1),(63,1)}
        40:{3,5}:{(20,1),(63,1),(64,1)}
        41:{3,5,7}:{(21,1),(22,1),(25,1),(65,1)}
        42:{2,5,7}:{(23,1),(61,1),(66,1),(93,1),(103,1),(118,1)}
        43:{1,3,6}:{(23,1),(24,1),(58,1),(62,1),(66,1),(102,1)}
        44:{4,6}:{(25,1),(64,1),(65,1),(131,1)}
        45:{2,4,7}:{(26,1),(28,1),(67,1),(68,1),(109,1)}
        46:{3,4,6}:{(26,1),(29,1),(68,1),(69,1),(73,1)}
        47:{3,6,7}:{(27,1),(29,1),(70,1),(113,1)}
        48:{2,5,7}:{(27,1),(30,1),(34,1),(70,1)}
        49:{1,3,5,7}:{(28,1),(35,1),(67,1),(71,1),(72,1),(74,1),(104,1),(106,1),(108,1),(125,1)}
        50:{2,3,6}:{(28,1),(29,1),(36,1),(68,1),(72,1)}
        51:{3,5,6}:{(29,1),(30,1),(69,1),(70,1),(73,1),(115,1)}
        52:{2,3,7}:{(31,1),(74,1),(75,1),(84,1),(104,1),(113,1),(129,1),(136,1)}
        53:{1,4,7}:{(31,1),(35,1),(74,1),(76,1),(137,1)}
        54:{2,4,6}:{(31,1),(32,1),(36,1),(75,1),(76,1),(77,1),(107,1),(109,1),(126,1)}
        55:{1,3,5}:{(32,1),(40,1),(69,1),(77,1),(78,1),(86,1),(106,1),(111,1),(115,1),(125,1)}
        56:{2,6,7}:{(33,1),(36,1),(79,1),(80,1),(129,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(37,1),(41,1),(70,1),(80,1),(81,1),(113,1)}
        58:{1,6}:{(35,1),(36,1)}
        59:{2,5,6}:{(36,1),(37,1),(77,1),(80,1),(82,1),(83,1)}
        60:{1,4,6}:{(37,1),(44,1),(73,1),(78,1),(81,1),(83,1),(130,1)}
        61:{2,4,7}:{(38,1),(42,1),(84,1),(85,1),(126,1)}
        62:{1,4,6}:{(38,1),(39,1),(43,1),(85,1),(86,1)}
        63:{2,5}:{(39,1),(40,1),(86,1)}
        64:{4,5}:{(40,1),(44,1)}
        65:{4,7}:{(41,1),(44,1)}
        66:{2,6}:{(42,1),(43,1)}
        67:{1,4,7}:{(45,1),(49,1),(87,1),(88,1),(119,1),(131,1)}
        68:{2,4,6}:{(45,1),(46,1),(50,1),(88,1),(89,1)}
        69:{3,5}:{(46,1),(89,1),(90,1)}
        70:{3,5,7}:{(47,1),(48,1),(51,1),(91,1)}
        71:{2,5,7}:{(49,1),(87,1),(92,1),(93,1),(117,1),(118,1)}
        72:{1,3,6}:{(49,1),(50,1),(58,1),(88,1),(92,1),(116,1)}
        73:{4,6}:{(51,1),(90,1),(91,1),(124,1)}
        74:{1,3,7}:{(52,1),(53,1),(93,1),(94,1),(135,1),(138,1)}
        75:{2,3,6}:{(52,1),(54,1),(94,1),(95,1),(101,1),(102,1),(116,1),(123,1),(132,1)}
        76:{1,4,6}:{(53,1),(54,1),(58,1),(94,1),(96,1),(119,1)}
        77:{2,5}:{(54,1),(55,1),(96,1)}
        78:{1,4,5}:{(55,1),(60,1),(64,1),(90,1),(97,1),(119,1),(124,1),(131,1),(134,1)}
        79:{1,6,7}:{(56,1),(58,1),(98,1),(135,1)}
        80:{2,5,7}:{(56,1),(57,1),(59,1),(98,1),(99,1)}
        81:{1,4,7}:{(57,1),(60,1),(65,1),(91,1),(99,1),(135,1)}
        82:{1,5,6}:{(58,1),(59,1),(96,1),(98,1),(100,1)}
        83:{2,4,6}:{(59,1),(60,1),(97,1),(99,1),(100,1),(101,1),(123,1)}
        84:{3,7}:{(61,1),(102,1),(132,1)}
        85:{2,4,6}:{(61,1),(62,1),(66,1),(102,1),(103,1),(124,1)}
        86:{1,5}:{(62,1),(63,1),(103,1)}
        87:{2,4,7}:{(67,1),(71,1),(104,1),(105,1),(126,1)}
        88:{1,4,6}:{(67,1),(68,1),(72,1),(105,1),(106,1)}
        89:{2,5}:{(68,1),(69,1),(106,1)}
        90:{4,5}:{(69,1),(73,1)}
        91:{4,7}:{(70,1),(73,1)}
        92:{2,6}:{(71,1),(72,1)}
        93:{2,7}:{(74,1),(107,1),(139,1)}
        94:{1,3,6}:{(74,1),(75,1),(76,1),(107,1),(108,1),(130,1)}
        95:{2,3,5}:{(75,1),(77,1),(108,1),(109,1),(111,1),(115,1),(125,1),(128,1),(136,1)}
        96:{1,5}:{(76,1),(77,1)}
        97:{2,4,5}:{(77,1),(78,1),(83,1),(109,1),(110,1),(111,1),(126,1),(128,1)}
        98:{1,5,7}:{(79,1),(80,1),(82,1),(112,1)}
        99:{2,4,7}:{(80,1),(81,1),(83,1),(112,1),(113,1),(129,1)}
       100:{1,4,6}:{(82,1),(83,1),(110,1),(112,1),(114,1)}
       101:{3,6}:{(83,1),(111,1),(113,1)}
       102:{3,6}:{(84,1),(85,1),(115,1)}
       103:{2,5}:{(85,1),(86,1),(115,1)}
       104:{3,7}:{(87,1),(116,1),(132,1)}
       105:{2,4,6}:{(87,1),(88,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,5}:{(88,1),(89,1),(117,1)}
       107:{2,6}:{(93,1),(94,1),(118,1)}
       108:{1,3,5}:{(94,1),(95,1),(96,1),(118,1),(119,1),(132,1),(134,1),(138,1)}
       109:{2,4}:{(95,1),(119,1),(120,1),(124,1),(131,1)}
       110:{1,4,5}:{(96,1),(97,1),(100,1),(119,1),(121,1)}
       111:{3,5}:{(97,1),(101,1),(120,1),(132,1)}
       112:{1,4,7}:{(98,1),(99,1),(100,1),(122,1)}
       113:{3,7}:{(99,1),(101,1)}
       114:{1,3,6}:{(100,1),(101,1),(121,1),(122,1),(123,1)}
       115:{3,5}:{(102,1),(103,1),(124,1)}
       116:{3,6}:{(104,1),(105,1),(125,1)}
       117:{2,5}:{(105,1),(106,1),(125,1)}
       118:{2,5}:{(107,1),(108,1),(126,1),(139,1)}
       119:{1,4}:{(108,1),(109,1),(126,1)}
       120:{3,4}:{(109,1),(111,1)}
       121:{1,3,5}:{(110,1),(111,1),(114,1),(127,1),(128,1)}
       122:{1,3,7}:{(112,1),(113,1),(114,1),(129,1)}
       123:{2,6}:{(114,1),(128,1),(129,1),(130,1)}
       124:{4}:{(115,1)}
       125:{3,5}:{(116,1),(117,1),(131,1)}
       126:{2,4}:{(118,1),(119,1),(132,1)}
       127:{1,3,4}:{(119,1),(120,1),(121,1),(132,1),(133,1),(138,1)}
       128:{2,5}:{(121,1),(123,1),(133,1),(134,1)}
       129:{2,7}:{(122,1),(123,1),(135,1)}
       130:{1,6}:{(123,1),(134,1),(135,1)}
       131:{4}:{(125,1)}
       132:{3}:{(126,1)}
       133:{2,4}:{(127,1),(128,1),(136,1),(137,1),(139,1)}
       134:{1,5}:{(128,1),(130,1),(137,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(132,1),(133,1),(138,1)}
       137:{1,4}:{(133,1),(134,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 267 :   0:{2,4,6,7}:{(1,1),(2,1),(3,1),(12,1),(17,1),(18,1),(39,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(23,1),(26,1),(27,1),(54,1)}
         2:{3,6,7}:{(0,1),(7,1),(31,1),(56,1)}
         3:{2,5,7}:{(0,1),(6,1),(7,1),(8,1)}
         4:{2,4,6,7}:{(1,1),(10,1),(11,1),(12,1),(34,1),(35,1),(39,1)}
         5:{1,3,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(73,1)}
         6:{1,5,7}:{(1,1),(3,1),(11,1),(14,1)}
         7:{3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{2,5,6}:{(3,1),(14,1),(16,1),(18,1),(81,1),(125,1)}
         9:{2,4,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1),(39,1),(43,1),(44,1),(46,1),(74,1),(81,1),(103,1),(125,1),(136,1)}
        10:{3,6,7}:{(4,1),(20,1),(51,1),(56,1)}
        11:{2,5,7}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,6,7}:{(5,1),(23,1),(24,1),(60,1),(92,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(7,1),(20,1),(24,1),(25,1),(26,1),(56,1)}
        14:{1,5,6}:{(6,1),(8,1),(21,1),(27,1),(98,1),(115,1)}
        15:{1,4,5,7}:{(6,1),(9,1),(22,1),(26,1),(27,1),(28,1),(54,1),(57,1),(61,1),(64,1),(87,1),(90,1),(98,1),(115,1)}
        16:{3,5,6}:{(7,1),(8,1),(29,1),(31,1),(62,1),(132,1)}
        17:{4,7}:{(7,1),(29,1)}
        18:{2,4,6}:{(8,1),(9,1),(27,1),(29,1),(31,1),(60,1)}
        19:{3,5,7}:{(9,1),(30,1),(31,1),(56,1),(62,1),(93,1),(117,1),(132,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1)}
        21:{2,5,6}:{(11,1),(14,1),(33,1),(35,1),(101,1),(113,1)}
        22:{2,4,5,7}:{(11,1),(15,1),(34,1),(35,1),(36,1),(39,1),(43,1),(67,1),(69,1),(74,1),(83,1),(101,1),(113,1),(131,1)}
        23:{1,6,7}:{(12,1),(37,1),(80,1),(107,1)}
        24:{2,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(14,1),(16,1),(33,1),(38,1),(40,1),(42,1),(75,1),(77,1)}
        26:{1,4,7}:{(13,1),(17,1),(34,1),(39,1),(40,1),(107,1)}
        27:{1,4,6}:{(14,1),(15,1),(18,1),(35,1),(42,1),(80,1)}
        28:{1,3,5,7}:{(15,1),(19,1),(36,1),(41,1),(42,1),(43,1),(73,1),(77,1),(105,1)}
        29:{4,6}:{(16,1),(17,1),(44,1),(136,1)}
        30:{3,4,7}:{(17,1),(19,1),(45,1),(46,1),(108,1),(136,1)}
        31:{3,6}:{(18,1),(19,1)}
        32:{2,3,5,7}:{(19,1),(43,1),(46,1),(47,1),(48,1),(76,1),(81,1),(109,1)}
        33:{3,5,6}:{(20,1),(21,1),(49,1),(51,1),(85,1),(124,1)}
        34:{4,7}:{(20,1),(49,1)}
        35:{2,4,6}:{(21,1),(22,1),(27,1),(49,1),(51,1),(60,1)}
        36:{3,5,7}:{(22,1),(50,1),(51,1),(56,1),(85,1),(93,1),(100,1),(124,1)}
        37:{1,5,7}:{(23,1),(24,1),(53,1),(54,1)}
        38:{2,5,6}:{(24,1),(25,1),(53,1),(55,1),(60,1),(96,1)}
        39:{2,4,7}:{(24,1),(26,1),(54,1),(55,1),(56,1),(92,1)}
        40:{1,4,6}:{(25,1),(26,1),(29,1),(49,1),(55,1),(57,1),(120,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(30,1),(50,1),(56,1),(58,1),(59,1),(64,1),(87,1),(95,1),(100,1),(117,1),(118,1)}
        42:{1,3,6}:{(27,1),(28,1),(31,1),(51,1),(60,1)}
        43:{2,5,7}:{(28,1),(59,1),(60,1),(61,1),(92,1),(96,1),(119,1)}
        44:{4,5}:{(29,1),(62,1)}
        45:{3,4,6}:{(29,1),(30,1),(31,1),(62,1),(63,1)}
        46:{2,4,7}:{(30,1),(32,1),(63,1),(64,1),(121,1)}
        47:{2,3,6}:{(31,1),(32,1),(60,1),(63,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(61,1),(64,1),(65,1),(66,1),(95,1),(98,1),(100,1),(122,1),(124,1)}
        49:{4,6}:{(33,1),(34,1),(67,1),(131,1)}
        50:{3,4,7}:{(34,1),(36,1),(68,1),(69,1),(108,1),(131,1)}
        51:{3,6}:{(35,1),(36,1)}
        52:{2,3,5,7}:{(36,1),(43,1),(69,1),(70,1),(71,1),(76,1),(101,1),(109,1)}
        53:{1,5,6}:{(37,1),(38,1),(72,1),(80,1),(112,1)}
        54:{1,4,7}:{(37,1),(39,1),(72,1),(73,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(72,1),(74,1),(75,1),(106,1)}
        56:{3,7}:{(39,1),(75,1)}
        57:{1,4,5}:{(40,1),(44,1),(67,1),(74,1),(77,1),(128,1),(129,1),(131,1),(136,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(68,1),(75,1),(77,1),(78,1),(82,1),(102,1),(108,1),(110,1),(114,1),(126,1),(129,1),(131,1),(136,1),(138,1)}
        59:{2,4,7}:{(41,1),(43,1),(76,1),(78,1),(79,1),(111,1),(127,1)}
        60:{2,6}:{(42,1),(43,1),(80,1)}
        61:{1,5,7}:{(43,1),(79,1),(80,1),(107,1),(112,1),(128,1)}
        62:{3,5}:{(44,1),(45,1),(81,1)}
        63:{2,4,6}:{(45,1),(46,1),(47,1),(81,1),(82,1)}
        64:{1,4,7}:{(46,1),(48,1),(82,1),(83,1),(129,1),(131,1)}
        65:{1,3,6}:{(47,1),(48,1),(80,1),(82,1),(84,1),(114,1)}
        66:{2,5,7}:{(48,1),(83,1),(84,1),(111,1),(113,1),(130,1)}
        67:{4,5}:{(49,1),(85,1)}
        68:{3,4,6}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        69:{2,4,7}:{(50,1),(52,1),(86,1),(87,1),(121,1)}
        70:{2,3,6}:{(51,1),(52,1),(60,1),(86,1),(88,1)}
        71:{1,3,5,7}:{(52,1),(61,1),(87,1),(88,1),(89,1),(95,1),(115,1),(117,1),(122,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(55,1),(90,1),(91,1)}
        73:{1,3,7}:{(54,1),(56,1),(91,1),(92,1)}
        74:{2,4,5}:{(55,1),(57,1),(90,1),(93,1),(96,1),(119,1),(121,1),(135,1)}
        75:{3,6}:{(55,1),(56,1),(93,1)}
        76:{2,3,7}:{(56,1),(59,1),(92,1),(94,1),(95,1),(100,1),(117,1),(133,1)}
        77:{1,3,5}:{(57,1),(58,1),(62,1),(85,1),(93,1),(96,1),(98,1),(115,1),(124,1),(132,1)}
        78:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(96,1),(97,1),(121,1),(123,1),(135,1)}
        79:{1,4,7}:{(59,1),(61,1),(95,1),(97,1),(134,1)}
        80:{1,6}:{(60,1),(61,1)}
        81:{2,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(63,1),(64,1),(65,1),(98,1),(99,1)}
        83:{2,4,7}:{(64,1),(66,1),(99,1),(100,1),(135,1)}
        84:{2,6}:{(65,1),(66,1)}
        85:{3,5}:{(67,1),(68,1),(101,1)}
        86:{2,4,6}:{(68,1),(69,1),(70,1),(101,1),(102,1)}
        87:{1,4,7}:{(69,1),(71,1),(102,1),(103,1),(129,1),(136,1)}
        88:{1,3,6}:{(70,1),(71,1),(80,1),(102,1),(104,1),(126,1)}
        89:{2,5,7}:{(71,1),(103,1),(104,1),(111,1),(125,1),(130,1)}
        90:{1,4,5}:{(72,1),(74,1),(105,1),(112,1),(129,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(106,1)}
        92:{2,7}:{(73,1),(106,1),(107,1)}
        93:{3,5}:{(74,1),(75,1),(108,1),(138,1)}
        94:{2,3,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(110,1),(114,1),(126,1),(138,1)}
        95:{1,3,7}:{(76,1),(79,1),(107,1),(110,1),(111,1),(137,1)}
        96:{2,5}:{(77,1),(78,1),(112,1)}
        97:{1,4,6}:{(78,1),(79,1),(80,1),(110,1),(112,1),(129,1)}
        98:{1,5}:{(81,1),(82,1),(113,1)}
        99:{2,4,6}:{(82,1),(83,1),(84,1),(113,1),(114,1),(131,1)}
       100:{3,7}:{(83,1),(114,1),(138,1)}
       101:{2,5}:{(85,1),(86,1),(115,1)}
       102:{1,4,6}:{(86,1),(87,1),(88,1),(115,1),(116,1)}
       103:{2,4,7}:{(87,1),(89,1),(116,1),(117,1),(135,1)}
       104:{2,6}:{(88,1),(89,1)}
       105:{1,3,5}:{(90,1),(91,1),(93,1),(118,1),(119,1)}
       106:{2,6}:{(91,1),(92,1),(119,1),(120,1)}
       107:{1,7}:{(92,1),(120,1)}
       108:{3,4}:{(93,1),(121,1)}
       109:{2,3,5}:{(93,1),(94,1),(96,1),(119,1),(121,1),(122,1),(124,1),(132,1),(133,1)}
       110:{1,3,6}:{(94,1),(95,1),(97,1),(120,1),(122,1),(123,1)}
       111:{2,7}:{(95,1),(123,1),(139,1)}
       112:{1,5}:{(96,1),(97,1)}
       113:{2,5}:{(98,1),(99,1),(124,1)}
       114:{3,6}:{(99,1),(100,1),(124,1)}
       115:{1,5}:{(101,1),(102,1),(125,1)}
       116:{2,4,6}:{(102,1),(103,1),(104,1),(125,1),(126,1),(136,1)}
       117:{3,7}:{(103,1),(126,1),(138,1)}
       118:{1,3,4}:{(105,1),(108,1),(127,1),(129,1),(137,1),(138,1)}
       119:{2,5}:{(105,1),(106,1),(127,1),(128,1)}
       120:{1,6}:{(106,1),(107,1),(128,1)}
       121:{2,4}:{(108,1),(109,1),(129,1),(131,1),(136,1)}
       122:{1,3,5}:{(109,1),(110,1),(112,1),(128,1),(129,1),(130,1),(137,1),(138,1)}
       123:{2,6}:{(110,1),(111,1),(130,1)}
       124:{3,5}:{(113,1),(114,1),(131,1)}
       125:{2,5}:{(115,1),(116,1),(132,1)}
       126:{3,6}:{(116,1),(117,1),(132,1)}
       127:{2,4}:{(118,1),(119,1),(133,1),(134,1),(139,1)}
       128:{1,5}:{(119,1),(120,1),(134,1)}
       129:{1,4}:{(121,1),(122,1),(135,1)}
       130:{2,5}:{(122,1),(123,1),(135,1),(139,1)}
       131:{4}:{(124,1)}
       132:{3,5}:{(125,1),(126,1),(136,1)}
       133:{2,3}:{(127,1),(137,1),(138,1)}
       134:{1,4}:{(127,1),(128,1),(137,1)}
       135:{2,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(132,1)}
       137:{1,3}:{(133,1),(134,1),(139,1)}
       138:{3}:{(135,1)}
       139:{2}:{(137,1)}

 268 :   0:{3,4,5,7}:{(1,1),(2,1),(15,1),(83,1),(97,1),(160,1),(261,1),(363,1),(369,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(27,1),(55,1),(64,1),(119,1),(212,1)}
         2:{3,4,6}:{(0,1),(5,1),(7,1),(407,1),(413,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(369,1),(377,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(45,1),(82,1),(85,1),(95,1),(167,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(15,1),(50,1),(97,1),(109,1)}
         7:{3,5,6}:{(2,1),(14,1),(15,1),(16,1),(261,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(64,1),(110,1),(119,1),(230,1),(320,1),(328,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(23,1),(54,1),(422,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(413,1),(421,1)}
        11:{2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(58,1),(70,1),(117,1),(129,1),(132,1),(139,1),(141,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(24,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(64,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(212,1)}
        15:{3,5,7}:{(6,1),(7,1),(27,1),(30,1)}
        16:{4,5,6}:{(7,1),(30,1),(314,1),(407,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(41,1),(77,1),(85,1),(95,1),(178,1),(285,1),(379,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(150,1),(162,1),(179,1),(248,1),(257,1),(267,1),(274,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(81,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(42,1),(460,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(109,1),(193,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(108,1),(179,1)}
        23:{3,5,7}:{(11,1),(41,1),(42,1),(100,1),(158,1),(178,1)}
        24:{2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(102,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(43,1),(45,1),(95,1)}
        26:{1,5,6}:{(12,1),(14,1),(44,1),(45,1),(167,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(108,1),(265,1),(295,1),(368,1),(467,1),(518,1)}
        29:{3,5,6,7}:{(15,1),(47,1),(50,1),(109,1),(362,1),(470,1)}
        30:{4,5,7}:{(15,1),(16,1),(50,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(339,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(67,1),(112,1),(122,1),(133,1),(200,1),(205,1),(231,1),(309,1),(329,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(212,1),(319,1),(327,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(113,1),(195,1),(422,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(116,1),(129,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(68,1),(245,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(69,1),(133,1),(148,1),(231,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(76,1),(147,1),(230,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{3,4,7}:{(23,1),(58,1),(67,1),(141,1),(205,1)}
        42:{3,6}:{(23,1),(24,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(132,1),(141,1)}
        44:{2,5,6}:{(24,1),(26,1),(69,1),(70,1),(129,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1),(70,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(71,1),(73,1),(74,1),(148,1),(218,1),(241,1),(325,1),(430,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(72,1),(75,1),(317,1),(434,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(73,1),(75,1),(76,1),(147,1),(346,1),(434,1),(499,1)}
        49:{3,5,6}:{(28,1),(65,1),(76,1),(319,1),(347,1),(413,1)}
        50:{4,6,7}:{(29,1),(30,1),(407,1),(499,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(77,1),(78,1),(85,1),(149,1),(379,1),(381,1)}
        52:{2,3,7}:{(31,1),(77,1),(80,1),(178,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(80,1),(81,1),(157,1),(286,1),(359,1)}
        54:{1,3,5}:{(32,1),(33,1),(81,1),(82,1),(100,1),(158,1),(167,1),(378,1)}
        55:{2,4,5}:{(33,1),(40,1),(82,1),(83,1),(248,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(77,1),(84,1),(85,1),(86,1),(153,1),(167,1)}
        57:{1,2,6}:{(34,1),(36,1),(86,1),(246,1),(460,1)}
        58:{2,4,7}:{(35,1),(41,1),(85,1),(90,1),(157,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(86,1),(90,1)}
        60:{2,6,7}:{(36,1),(37,1),(93,1)}
        61:{2,5,6}:{(36,1),(38,1),(81,1),(93,1),(94,1),(286,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(93,1),(95,1),(101,1),(178,1),(194,1),(285,1)}
        63:{1,4,6}:{(38,1),(40,1),(82,1),(94,1),(95,1),(102,1)}
        64:{2,4,7}:{(39,1),(40,1),(95,1),(97,1)}
        65:{3,4,6}:{(40,1),(49,1),(83,1),(97,1),(518,1)}
        66:{3,4,5,7}:{(41,1),(89,1),(98,1),(100,1),(182,1),(185,1),(256,1),(281,1),(358,1)}
        67:{3,4,6}:{(41,1),(42,1),(90,1),(100,1),(102,1)}
        68:{3,6,7}:{(42,1),(43,1),(101,1),(178,1)}
        69:{3,5,6}:{(42,1),(44,1),(100,1),(101,1),(102,1)}
        70:{2,5,7}:{(43,1),(44,1),(45,1),(101,1)}
        71:{2,4,5,6}:{(44,1),(46,1),(94,1),(102,1),(104,1),(105,1),(108,1),(175,1),(189,1),(280,1),(288,1),(388,1)}
        72:{1,5,6,7}:{(45,1),(47,1),(103,1),(106,1),(270,1),(392,1)}
        73:{1,4,5,7}:{(45,1),(46,1),(48,1),(95,1),(104,1),(106,1),(107,1),(194,1),(294,1),(392,1)}
        74:{1,3,5,6}:{(46,1),(49,1),(96,1),(105,1),(107,1),(108,1),(272,1),(376,1)}
        75:{2,4,6,7}:{(47,1),(48,1),(50,1),(106,1),(109,1),(193,1),(368,1)}
        76:{3,5,7}:{(48,1),(49,1),(97,1),(109,1),(394,1)}
        77:{1,3,7}:{(51,1),(52,1),(110,1),(112,1)}
        78:{1,2,4,6}:{(51,1),(53,1),(57,1),(112,1),(113,1),(122,1),(196,1),(200,1),(329,1),(331,1),(402,1)}
        79:{2,3,4,7}:{(52,1),(58,1),(111,1),(114,1),(115,1),(228,1),(307,1),(328,1),(471,1)}
        80:{2,3,6}:{(52,1),(53,1),(112,1),(116,1),(133,1),(403,1)}
        81:{2,5}:{(53,1),(54,1)}
        82:{1,4,5}:{(54,1),(55,1),(63,1),(117,1),(139,1),(200,1)}
        83:{3,4,5}:{(55,1),(65,1),(301,1),(319,1),(534,1)}
        84:{2,3,5,7}:{(56,1),(110,1),(119,1),(120,1),(195,1),(197,1),(208,1),(212,1)}
        85:{1,4,7}:{(56,1),(58,1),(119,1),(122,1),(200,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(122,1)}
        87:{1,2,6,7}:{(57,1),(60,1),(123,1),(125,1),(245,1),(298,1),(348,1),(421,1),(491,1),(492,1),(529,1)}
        88:{1,2,5,6}:{(57,1),(61,1),(113,1),(124,1),(125,1),(126,1),(148,1),(244,1),(299,1),(327,1),(331,1),(420,1),(421,1),(423,1),(486,1),(492,1)}
        89:{2,4,5,7}:{(58,1),(66,1),(114,1),(121,1),(127,1),(129,1),(204,1),(223,1),(307,1)}
        90:{2,4,6}:{(58,1),(59,1),(67,1),(122,1),(129,1)}
        91:{2,3,6,7}:{(59,1),(60,1),(68,1),(123,1),(128,1),(130,1),(334,1),(421,1),(529,1),(530,1),(544,1)}
        92:{2,3,5,6}:{(59,1),(61,1),(69,1),(116,1),(124,1),(129,1),(130,1),(131,1),(133,1),(222,1),(225,1),(227,1),(327,1),(334,1),(421,1),(486,1),(489,1),(524,1),(530,1),(545,1),(547,1)}
        93:{2,5,7}:{(60,1),(61,1),(62,1),(132,1),(339,1)}
        94:{2,4,6}:{(61,1),(63,1),(117,1),(132,1),(133,1)}
        95:{1,4,7}:{(62,1),(63,1),(64,1),(132,1),(141,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(74,1),(118,1),(133,1),(134,1),(135,1),(142,1),(231,1),(241,1),(347,1)}
        97:{3,4,7}:{(64,1),(65,1),(76,1),(499,1)}
        98:{3,4,6}:{(66,1),(127,1),(137,1),(235,1),(334,1)}
        99:{3,4,6,7}:{(67,1),(68,1),(128,1),(138,1),(141,1),(228,1),(235,1),(334,1),(544,1),(546,1),(551,1)}
       100:{3,5}:{(67,1),(129,1),(139,1)}
       101:{3,5,7}:{(68,1),(69,1),(70,1),(141,1)}
       102:{4,6}:{(69,1),(139,1),(141,1)}
       103:{2,5,6,7}:{(70,1),(72,1),(140,1),(143,1),(225,1),(344,1)}
       104:{2,4,5,7}:{(70,1),(71,1),(73,1),(132,1),(141,1),(143,1),(144,1),(147,1),(238,1),(240,1),(344,1)}
       105:{3,5,6}:{(71,1),(133,1),(142,1),(144,1),(227,1),(334,1)}
       106:{1,4,6,7}:{(72,1),(73,1),(75,1),(143,1),(146,1),(245,1),(325,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(76,1),(134,1),(144,1),(146,1),(147,1)}
       108:{2,5,6}:{(74,1),(135,1),(147,1),(148,1),(327,1),(421,1)}
       109:{3,6,7}:{(75,1),(76,1),(413,1)}
       110:{2,3,7}:{(77,1),(149,1),(150,1),(436,1)}
       111:{1,3,4,7}:{(77,1),(79,1),(85,1),(149,1),(151,1),(152,1),(160,1),(353,1),(379,1),(436,1),(500,1)}
       112:{1,3,6}:{(77,1),(78,1),(80,1),(150,1),(153,1),(442,1)}
       113:{1,2,5}:{(78,1),(81,1),(153,1),(167,1),(247,1),(378,1)}
       114:{2,3,5,7}:{(79,1),(89,1),(151,1),(155,1),(156,1),(281,1),(377,1)}
       115:{2,3,4,6}:{(79,1),(80,1),(90,1),(152,1),(155,1),(156,1),(157,1),(177,1),(255,1),(274,1),(352,1),(437,1)}
       116:{2,3,5}:{(80,1),(81,1),(153,1),(157,1),(158,1)}
       117:{2,4,5}:{(81,1),(82,1),(94,1),(157,1),(158,1)}
       118:{1,3,4,5}:{(82,1),(83,1),(96,1),(158,1),(159,1),(186,1),(252,1),(258,1),(272,1),(291,1),(391,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(162,1),(248,1)}
       120:{2,3,6}:{(84,1),(86,1),(162,1),(246,1),(259,1)}
       121:{1,4,5,7}:{(85,1),(89,1),(151,1),(161,1),(165,1),(167,1),(251,1),(268,1),(353,1)}
       122:{1,4,6}:{(85,1),(86,1),(90,1),(162,1),(167,1)}
       123:{1,3,6,7}:{(86,1),(87,1),(91,1),(163,1),(166,1),(168,1),(376,1),(460,1),(515,1)}
       124:{1,3,5,6}:{(86,1),(88,1),(92,1),(153,1),(164,1),(167,1),(168,1),(169,1),(171,1),(270,1),(272,1),(276,1),(376,1),(378,1),(460,1),(462,1),(515,1),(542,1)}
       125:{1,2,5,7}:{(87,1),(88,1),(93,1),(168,1),(170,1),(194,1),(297,1),(349,1),(377,1),(381,1),(459,1),(511,1)}
       126:{1,2,4,6}:{(88,1),(94,1),(154,1),(169,1),(170,1),(171,1),(181,1),(274,1),(286,1),(295,1),(350,1),(441,1),(501,1),(505,1)}
       127:{2,4,6}:{(89,1),(98,1),(155,1),(165,1),(173,1)}
       128:{2,4,6,7}:{(90,1),(91,1),(99,1),(166,1),(174,1),(176,1),(280,1),(541,1)}
       129:{2,5}:{(90,1),(100,1),(167,1)}
       130:{2,3,5,7}:{(91,1),(92,1),(93,1),(101,1),(168,1),(174,1),(176,1),(178,1),(275,1),(281,1),(377,1),(511,1),(537,1),(548,1)}
       131:{2,4,6}:{(92,1),(102,1),(157,1),(169,1),(175,1),(176,1),(177,1),(514,1),(549,1)}
       132:{2,4,7}:{(93,1),(94,1),(95,1),(178,1)}
       133:{3,6}:{(94,1),(158,1),(178,1)}
       134:{1,3,4,7}:{(95,1),(96,1),(97,1),(107,1),(178,1),(180,1),(188,1),(285,1),(294,1),(394,1)}
       135:{2,4,6}:{(96,1),(108,1),(159,1),(179,1),(180,1),(181,1),(286,1)}
       136:{3,4,6,7}:{(98,1),(172,1),(182,1),(287,1),(358,1),(382,1)}
       137:{3,5,6}:{(98,1),(100,1),(173,1),(182,1),(183,1)}
       138:{3,5,7}:{(99,1),(100,1),(174,1),(184,1),(185,1),(550,1)}
       139:{4,5}:{(100,1),(102,1)}
       140:{3,5,6,7}:{(101,1),(103,1),(184,1),(187,1),(190,1),(292,1)}
       141:{4,7}:{(101,1),(102,1)}
       142:{3,4,6}:{(102,1),(105,1),(186,1),(188,1),(189,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(106,1),(187,1),(190,1),(193,1),(280,1)}
       144:{3,5,7}:{(104,1),(105,1),(178,1),(188,1),(190,1)}
       145:{2,3,5,6}:{(105,1),(108,1),(179,1),(189,1),(191,1),(192,1),(282,1),(383,1),(388,1)}
       146:{1,3,6,7}:{(106,1),(107,1),(109,1),(190,1),(193,1),(376,1)}
       147:{2,5,7}:{(107,1),(108,1),(180,1),(193,1),(194,1)}
       148:{1,5,6}:{(108,1),(181,1),(194,1),(378,1),(460,1)}
       149:{2,4,7}:{(110,1),(111,1),(195,1),(196,1),(520,1)}
       150:{2,3,6}:{(110,1),(112,1),(196,1),(197,1),(396,1),(474,1)}
       151:{1,3,5,7}:{(111,1),(114,1),(121,1),(195,1),(198,1),(199,1),(208,1),(422,1)}
       152:{1,3,4,6}:{(111,1),(112,1),(115,1),(122,1),(196,1),(198,1),(199,1),(200,1),(209,1),(301,1),(303,1),(329,1),(396,1),(398,1),(472,1)}
       153:{1,3,5}:{(112,1),(113,1),(116,1),(197,1),(200,1)}
       154:{1,2,4,5}:{(113,1),(117,1),(126,1),(200,1),(201,1),(207,1),(218,1),(300,1),(305,1),(310,1),(327,1),(343,1),(401,1),(402,1),(423,1),(473,1),(483,1),(494,1)}
       155:{2,3,6}:{(114,1),(127,1),(198,1),(334,1),(421,1)}
       156:{2,3,5}:{(115,1),(129,1),(199,1),(204,1),(227,1),(327,1)}
       157:{2,4}:{(116,1),(200,1),(205,1)}
       158:{3,5}:{(117,1),(133,1),(205,1)}
       159:{2,4,5}:{(118,1),(135,1),(206,1),(207,1),(305,1),(310,1),(327,1)}
       160:{3,4,7}:{(119,1),(208,1),(209,1),(301,1),(405,1)}
       161:{2,4,5,7}:{(119,1),(121,1),(195,1),(208,1),(210,1),(212,1),(300,1),(314,1),(315,1),(395,1),(405,1)}
       162:{2,4,6}:{(119,1),(120,1),(122,1),(209,1),(212,1)}
       163:{2,3,6,7}:{(120,1),(123,1),(211,1),(213,1),(298,1),(311,1),(348,1),(413,1),(421,1),(435,1),(495,1)}
       164:{2,3,5,6}:{(120,1),(124,1),(197,1),(212,1),(213,1),(214,1),(222,1),(244,1),(299,1),(312,1),(317,1),(319,1),(327,1),(347,1),(396,1),(413,1),(421,1),(428,1),(495,1),(497,1),(533,1)}
       165:{1,4,6}:{(121,1),(127,1),(198,1),(210,1),(216,1)}
       166:{1,4,6,7}:{(122,1),(123,1),(128,1),(211,1),(217,1),(219,1),(325,1),(532,1)}
       167:{1,5}:{(122,1),(129,1),(212,1)}
       168:{1,3,5,7}:{(123,1),(124,1),(125,1),(130,1),(213,1),(217,1),(219,1),(221,1),(330,1),(422,1)}
       169:{1,4,6}:{(124,1),(131,1),(200,1),(214,1),(218,1),(219,1),(494,1)}
       170:{1,2,4,7}:{(125,1),(126,1),(132,1),(219,1),(221,1),(232,1),(328,1),(339,1),(346,1),(395,1),(475,1),(520,1),(523,1)}
       171:{1,3,6}:{(126,1),(133,1),(201,1),(221,1),(222,1),(347,1),(396,1),(524,1)}
       172:{2,4,6,7}:{(127,1),(136,1),(202,1),(215,1),(223,1),(307,1)}
       173:{2,5,6}:{(127,1),(129,1),(137,1),(216,1),(223,1)}
       174:{2,5,7}:{(128,1),(129,1),(138,1),(217,1),(225,1),(547,1)}
       175:{2,4,5}:{(129,1),(131,1),(139,1),(218,1),(227,1),(327,1),(547,1),(552,1)}
       176:{2,4,7}:{(130,1),(131,1),(141,1),(219,1),(228,1),(551,1)}
       177:{3,4,6}:{(131,1),(133,1),(205,1),(227,1),(228,1),(334,1),(524,1),(528,1)}
       178:{3,7}:{(132,1),(133,1)}
       179:{2,3,6}:{(133,1),(135,1),(206,1),(230,1),(231,1),(347,1)}
       180:{2,4,7}:{(134,1),(135,1),(147,1),(230,1),(232,1),(339,1)}
       181:{1,4,6}:{(135,1),(148,1),(207,1),(231,1),(232,1)}
       182:{3,5,7}:{(136,1),(137,1),(223,1),(234,1)}
       183:{4,5,6}:{(137,1),(139,1),(234,1),(235,1)}
       184:{3,5,6}:{(138,1),(225,1),(235,1),(334,1)}
       185:{4,5,7}:{(138,1),(139,1),(141,1),(235,1),(551,1),(552,1)}
       186:{3,4,5}:{(139,1),(142,1),(227,1),(237,1),(528,1)}
       187:{4,6,7}:{(140,1),(141,1),(235,1),(238,1)}
       188:{3,4,7}:{(141,1),(142,1),(144,1),(240,1)}
       189:{2,4,6}:{(142,1),(145,1),(237,1),(240,1),(241,1)}
       190:{3,6,7}:{(143,1),(144,1),(334,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(147,1),(230,1),(240,1),(242,1),(243,1),(344,1)}
       192:{1,3,5,6}:{(145,1),(148,1),(231,1),(241,1),(243,1),(244,1),(336,1),(347,1),(426,1),(430,1),(497,1)}
       193:{2,6,7}:{(146,1),(147,1),(245,1),(421,1)}
       194:{1,5,7}:{(147,1),(148,1),(232,1),(245,1)}
       195:{2,5,7}:{(149,1),(151,1),(246,1),(247,1)}
       196:{2,4,6}:{(149,1),(150,1),(152,1),(246,1),(247,1),(248,1),(439,1),(501,1)}
       197:{2,3,5}:{(150,1),(153,1),(247,1),(248,1),(351,1)}
       198:{1,3,6}:{(151,1),(155,1),(165,1),(246,1),(259,1),(460,1)}
       199:{1,3,5}:{(152,1),(156,1),(167,1),(247,1),(251,1),(261,1),(351,1),(378,1)}
       200:{1,4}:{(153,1),(157,1),(248,1)}
       201:{1,3,5}:{(154,1),(158,1),(171,1),(252,1),(253,1),(351,1),(391,1),(442,1),(509,1)}
       202:{2,3,6,7}:{(155,1),(172,1),(249,1),(254,1),(382,1),(458,1)}
       203:{2,3,5,6}:{(155,1),(156,1),(173,1),(250,1),(254,1),(255,1),(279,1),(375,1),(437,1)}
       204:{2,4,5}:{(156,1),(157,1),(251,1),(255,1),(256,1)}
       205:{3,4}:{(157,1),(158,1)}
       206:{2,3,5}:{(158,1),(159,1),(179,1),(257,1),(258,1),(391,1)}
       207:{1,4,5}:{(159,1),(181,1),(258,1),(356,1),(378,1)}
       208:{3,5,7}:{(160,1),(161,1),(259,1),(261,1),(351,1),(436,1)}
       209:{3,4,6}:{(160,1),(162,1),(259,1),(261,1),(361,1)}
       210:{2,4,6}:{(161,1),(165,1),(246,1),(259,1),(263,1),(361,1)}
       211:{2,4,6,7}:{(162,1),(163,1),(166,1),(260,1),(264,1),(266,1),(368,1),(517,1)}
       212:{2,5}:{(162,1),(167,1),(261,1)}
       213:{2,3,5,7}:{(163,1),(164,1),(168,1),(264,1),(266,1),(275,1),(297,1),(349,1),(360,1),(369,1),(377,1),(394,1),(436,1),(470,1)}
       214:{2,4,6}:{(164,1),(169,1),(248,1),(265,1),(266,1),(267,1),(361,1),(466,1),(518,1)}
       215:{1,4,6,7}:{(165,1),(172,1),(249,1),(262,1),(268,1),(353,1)}
       216:{1,5,6}:{(165,1),(167,1),(173,1),(263,1),(268,1)}
       217:{1,5,7}:{(166,1),(167,1),(174,1),(264,1),(270,1),(542,1)}
       218:{1,4,5}:{(167,1),(169,1),(175,1),(265,1),(272,1),(378,1),(542,1)}
       219:{1,4,7}:{(168,1),(169,1),(176,1),(266,1)}
       220:{1,3,4,6}:{(169,1),(171,1),(177,1),(252,1),(267,1),(272,1),(273,1),(274,1),(376,1)}
       221:{1,3,7}:{(170,1),(171,1),(178,1),(275,1),(394,1),(436,1),(537,1)}
       222:{2,3,6}:{(171,1),(253,1),(274,1),(275,1),(276,1),(286,1),(501,1)}
       223:{2,5,7}:{(172,1),(173,1),(182,1),(268,1)}
       224:{2,4,5,6}:{(173,1),(175,1),(183,1),(255,1),(269,1),(278,1),(279,1),(280,1),(375,1),(505,1),(538,1),(549,1)}
       225:{2,5,6}:{(174,1),(184,1),(270,1),(280,1)}
       226:{2,4,5,7}:{(174,1),(175,1),(176,1),(185,1),(271,1),(280,1),(281,1),(377,1)}
       227:{3,5}:{(175,1),(177,1)}
       228:{3,4,7}:{(176,1),(177,1),(178,1),(281,1),(537,1)}
       229:{2,3,4,6}:{(177,1),(179,1),(189,1),(257,1),(274,1),(282,1),(283,1),(284,1),(383,1),(457,1),(514,1),(541,1)}
       230:{2,3,7}:{(178,1),(179,1),(180,1),(285,1),(394,1)}
       231:{1,3,6}:{(179,1),(181,1),(258,1),(285,1),(286,1)}
       232:{1,4,7}:{(180,1),(181,1),(194,1),(285,1)}
       233:{3,5,6,7}:{(182,1),(184,1),(277,1),(287,1),(382,1),(548,1)}
       234:{4,5,7}:{(182,1),(183,1),(287,1)}
       235:{4,6}:{(184,1),(185,1)}
       236:{3,4,5,7}:{(185,1),(186,1),(188,1),(281,1),(289,1),(290,1),(292,1),(540,1),(550,1)}
       237:{2,4,5}:{(186,1),(189,1),(282,1),(291,1),(514,1)}
       238:{4,5,7}:{(187,1),(288,1),(292,1)}
       239:{3,4,6,7}:{(187,1),(188,1),(190,1),(289,1),(292,1),(293,1)}
       240:{2,4,7}:{(188,1),(189,1),(191,1),(294,1)}
       241:{1,4,6}:{(189,1),(192,1),(291,1),(294,1),(295,1),(518,1)}
       242:{2,3,6,7}:{(190,1),(191,1),(193,1),(293,1),(296,1),(383,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(194,1),(285,1),(294,1),(296,1),(297,1),(392,1),(394,1),(470,1)}
       244:{2,5,6}:{(192,1),(286,1),(295,1),(297,1),(385,1),(464,1)}
       245:{1,6,7}:{(193,1),(194,1),(460,1)}
       246:{2,6}:{(195,1),(198,1)}
       247:{2,5}:{(196,1),(199,1)}
       248:{2,4}:{(197,1),(200,1),(301,1)}
       249:{1,3,6,7}:{(198,1),(202,1),(215,1),(298,1),(302,1),(311,1),(491,1)}
       250:{1,3,5,6}:{(198,1),(199,1),(203,1),(216,1),(299,1),(302,1),(303,1),(312,1),(396,1),(420,1),(472,1)}
       251:{1,4,5}:{(199,1),(200,1),(204,1),(300,1),(303,1),(314,1)}
       252:{1,3,4}:{(200,1),(201,1),(205,1),(301,1),(305,1),(433,1),(494,1),(528,1)}
       253:{2,3,5}:{(201,1),(222,1),(305,1),(306,1),(310,1),(327,1),(403,1),(473,1),(474,1)}
       254:{2,3,5,7}:{(202,1),(203,1),(223,1),(302,1),(307,1),(333,1),(419,1),(471,1)}
       255:{2,4,6}:{(203,1),(204,1),(303,1),(307,1),(308,1)}
       256:{3,4,5}:{(204,1),(205,1),(227,1),(308,1),(552,1)}
       257:{2,3,4}:{(205,1),(206,1),(305,1),(309,1),(433,1),(474,1)}
       258:{1,3,5}:{(206,1),(207,1),(231,1),(309,1),(310,1)}
       259:{3,6}:{(208,1),(210,1)}
       260:{3,4,6,7}:{(209,1),(211,1),(311,1),(313,1),(320,1),(405,1),(407,1),(413,1),(435,1),(498,1),(499,1)}
       261:{3,5}:{(209,1),(212,1),(314,1)}
       262:{2,4,6,7}:{(210,1),(215,1),(298,1),(311,1),(315,1),(395,1),(405,1)}
       263:{2,5,6}:{(210,1),(212,1),(216,1),(312,1),(315,1)}
       264:{2,5,7}:{(211,1),(212,1),(217,1),(313,1),(317,1),(533,1)}
       265:{2,4,5}:{(212,1),(214,1),(218,1),(314,1),(319,1),(327,1),(533,1),(534,1)}
       266:{2,4,7}:{(213,1),(214,1),(219,1),(320,1),(405,1),(499,1)}
       267:{3,4,6}:{(214,1),(301,1),(319,1),(320,1),(347,1),(396,1),(413,1),(433,1)}
       268:{1,5,7}:{(215,1),(216,1),(223,1),(315,1)}
       269:{1,4,5,6}:{(216,1),(218,1),(224,1),(303,1),(316,1),(323,1),(324,1),(325,1),(420,1),(479,1),(525,1)}
       270:{1,5,6}:{(217,1),(225,1),(317,1),(325,1)}
       271:{1,4,5,7}:{(217,1),(218,1),(219,1),(226,1),(318,1),(325,1),(326,1),(422,1)}
       272:{1,3,5}:{(218,1),(220,1),(227,1),(319,1),(327,1)}
       273:{1,3,4,7}:{(219,1),(220,1),(221,1),(228,1),(320,1),(326,1),(328,1)}
       274:{2,4,6}:{(220,1),(222,1),(305,1),(327,1),(328,1),(329,1),(421,1)}
       275:{2,3,7}:{(221,1),(222,1),(328,1),(330,1),(339,1),(520,1)}
       276:{1,3,6}:{(222,1),(306,1),(329,1),(330,1),(331,1)}
       277:{2,5,6,7}:{(223,1),(225,1),(233,1),(322,1),(332,1),(543,1)}
       278:{2,4,5,7}:{(223,1),(224,1),(234,1),(307,1),(323,1),(332,1),(333,1),(419,1),(523,1),(543,1),(551,1)}
       279:{3,5,6}:{(224,1),(227,1),(308,1),(333,1),(334,1),(524,1)}
       280:{2,4,6}:{(225,1),(226,1),(235,1),(325,1),(334,1),(421,1)}
       281:{3,5,7}:{(226,1),(227,1),(228,1),(334,1)}
       282:{2,3,5}:{(227,1),(229,1),(237,1),(327,1),(336,1),(547,1)}
       283:{2,3,4,7}:{(228,1),(229,1),(230,1),(240,1),(328,1),(335,1),(337,1),(490,1),(531,1)}
       284:{1,3,4,6}:{(229,1),(231,1),(241,1),(309,1),(329,1),(336,1),(337,1),(338,1),(347,1),(425,1),(426,1),(433,1),(494,1),(498,1),(532,1)}
       285:{1,3,7}:{(230,1),(231,1),(232,1),(339,1)}
       286:{2,6}:{(231,1),(310,1),(339,1)}
       287:{4,6,7}:{(233,1),(234,1),(235,1),(551,1)}
       288:{4,5,6}:{(235,1),(238,1),(340,1),(552,1)}
       289:{3,4,6}:{(235,1),(236,1),(334,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(236,1),(237,1),(240,1),(335,1),(341,1),(342,1),(344,1),(531,1),(547,1)}
       291:{1,4,5}:{(237,1),(241,1),(336,1),(343,1),(494,1),(534,1)}
       292:{3,5,7}:{(238,1),(239,1),(340,1),(344,1)}
       293:{2,4,6,7}:{(239,1),(240,1),(242,1),(341,1),(344,1),(345,1)}
       294:{1,4,7}:{(240,1),(241,1),(243,1),(346,1),(499,1)}
       295:{2,4,6}:{(241,1),(244,1),(343,1),(346,1),(347,1)}
       296:{1,3,6,7}:{(242,1),(243,1),(245,1),(345,1),(348,1),(426,1),(435,1)}
       297:{2,5,7}:{(243,1),(244,1),(339,1),(346,1),(348,1)}
       298:{2,6,7}:{(246,1),(249,1),(349,1)}
       299:{2,5,6}:{(246,1),(247,1),(250,1),(349,1),(350,1),(501,1)}
       300:{2,4,5}:{(247,1),(248,1),(251,1),(350,1),(351,1)}
       301:{3,4}:{(248,1),(351,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(254,1),(268,1),(349,1),(353,1),(360,1),(436,1),(459,1),(500,1)}
       303:{1,4,6}:{(250,1),(251,1),(255,1),(350,1),(353,1),(361,1)}
       304:{1,3,4,5}:{(251,1),(252,1),(256,1),(272,1),(351,1),(354,1),(355,1),(364,1),(438,1),(449,1),(509,1)}
       305:{2,4}:{(252,1),(253,1),(356,1)}
       306:{1,3,5}:{(253,1),(276,1),(356,1),(357,1),(378,1),(442,1)}
       307:{2,4,7}:{(254,1),(255,1),(353,1),(358,1)}
       308:{3,4,6}:{(255,1),(256,1),(279,1),(358,1),(549,1)}
       309:{1,3,4}:{(257,1),(258,1),(356,1),(359,1),(442,1)}
       310:{2,5}:{(258,1),(286,1),(359,1)}
       311:{3,6,7}:{(259,1),(262,1),(360,1),(436,1)}
       312:{3,5,6}:{(259,1),(261,1),(263,1),(360,1),(361,1)}
       313:{3,5,7}:{(260,1),(261,1),(264,1),(362,1),(363,1),(519,1)}
       314:{4,5}:{(261,1),(361,1)}
       315:{2,5,7}:{(262,1),(263,1),(268,1),(360,1)}
       316:{2,4,5,6}:{(263,1),(265,1),(269,1),(350,1),(361,1),(366,1),(367,1),(368,1),(375,1),(445,1),(446,1),(506,1)}
       317:{2,5,6}:{(264,1),(270,1),(362,1),(368,1)}
       318:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(363,1),(368,1),(369,1),(377,1)}
       319:{3,5}:{(265,1),(267,1)}
       320:{3,4,7}:{(266,1),(267,1),(369,1),(394,1),(436,1)}
       321:{2,3,4,6}:{(267,1),(274,1),(352,1),(370,1),(371,1),(372,1),(387,1),(437,1),(445,1),(453,1),(466,1),(517,1)}
       322:{1,5,6,7}:{(268,1),(270,1),(277,1),(365,1),(373,1),(535,1)}
       323:{1,4,5,7}:{(268,1),(269,1),(278,1),(353,1),(366,1),(373,1),(374,1),(459,1),(504,1),(535,1)}
       324:{1,3,5,6}:{(269,1),(272,1),(279,1),(354,1),(367,1),(374,1),(375,1),(376,1)}
       325:{1,4,6}:{(270,1),(271,1),(280,1),(368,1),(376,1),(460,1)}
       326:{1,3,5,7}:{(271,1),(272,1),(273,1),(281,1),(369,1),(376,1),(377,1)}
       327:{2,5}:{(272,1),(274,1),(378,1)}
       328:{2,4,7}:{(273,1),(274,1),(275,1),(377,1),(379,1)}
       329:{1,4,6}:{(274,1),(276,1),(356,1),(378,1),(379,1),(460,1)}
       330:{1,3,7}:{(275,1),(276,1),(379,1),(381,1)}
       331:{1,2,6}:{(276,1),(286,1),(357,1),(381,1),(501,1)}
       332:{2,4,6,7}:{(277,1),(278,1),(280,1),(287,1),(373,1),(382,1),(458,1)}
       333:{3,5,7}:{(278,1),(279,1),(358,1),(382,1),(537,1)}
       334:{3,6}:{(280,1),(281,1)}
       335:{2,3,5,7}:{(281,1),(282,1),(283,1),(290,1),(377,1),(383,1),(384,1)}
       336:{1,3,5}:{(282,1),(284,1),(291,1),(378,1),(385,1),(391,1),(519,1),(542,1)}
       337:{1,3,4,7}:{(283,1),(284,1),(285,1),(294,1),(379,1),(384,1),(386,1),(394,1),(463,1),(469,1),(516,1)}
       338:{2,4,6}:{(284,1),(286,1),(359,1),(385,1),(386,1),(387,1),(464,1),(466,1)}
       339:{2,7}:{(285,1),(286,1)}
       340:{3,5,6}:{(288,1),(289,1),(292,1),(388,1),(550,1)}
       341:{2,4,6}:{(289,1),(290,1),(383,1),(388,1),(389,1)}
       342:{1,4,5,7}:{(290,1),(291,1),(294,1),(384,1),(389,1),(390,1),(392,1),(516,1),(542,1)}
       343:{2,4,5}:{(291,1),(295,1),(385,1),(391,1),(466,1)}
       344:{2,5,7}:{(292,1),(293,1),(388,1),(392,1)}
       345:{1,4,6,7}:{(293,1),(294,1),(296,1),(389,1),(392,1),(393,1)}
       346:{2,4,7}:{(294,1),(295,1),(297,1),(394,1)}
       347:{3,6}:{(295,1),(391,1),(394,1)}
       348:{2,6,7}:{(296,1),(297,1),(464,1)}
       349:{2,5,7}:{(298,1),(299,1),(302,1),(395,1),(520,1)}
       350:{2,4,6}:{(299,1),(300,1),(303,1),(395,1),(396,1)}
       351:{3,5}:{(300,1),(301,1),(396,1)}
       352:{2,3,4}:{(301,1),(305,1),(397,1),(398,1),(403,1),(528,1)}
       353:{1,4,7}:{(302,1),(303,1),(307,1),(395,1),(405,1)}
       354:{1,3,4,6}:{(303,1),(304,1),(308,1),(324,1),(396,1),(399,1),(400,1),(406,1),(472,1),(479,1),(524,1)}
       355:{2,4,5}:{(304,1),(305,1),(327,1),(397,1),(400,1),(401,1),(473,1)}
       356:{1,4}:{(305,1),(306,1)}
       357:{1,2,5}:{(306,1),(310,1),(331,1),(402,1),(473,1)}
       358:{3,4,7}:{(307,1),(308,1),(333,1),(551,1)}
       359:{2,4}:{(309,1),(310,1),(403,1)}
       360:{3,5,7}:{(311,1),(312,1),(315,1),(405,1)}
       361:{4,6}:{(312,1),(314,1),(405,1)}
       362:{3,5,6}:{(313,1),(317,1),(407,1),(413,1)}
       363:{4,5,7}:{(313,1),(314,1),(405,1),(407,1),(499,1),(534,1)}
       364:{3,4,5}:{(314,1),(319,1),(406,1),(409,1),(433,1)}
       365:{2,5,6,7}:{(315,1),(317,1),(322,1),(404,1),(410,1),(521,1)}
       366:{2,4,5,7}:{(315,1),(316,1),(323,1),(395,1),(405,1),(410,1),(411,1),(419,1),(476,1),(478,1),(521,1)}
       367:{3,5,6}:{(316,1),(319,1),(396,1),(406,1),(411,1),(413,1)}
       368:{2,4,6}:{(317,1),(318,1),(325,1),(407,1),(413,1),(421,1)}
       369:{3,5,7}:{(318,1),(319,1),(320,1),(413,1)}
       370:{2,3,5}:{(319,1),(321,1),(327,1),(409,1),(415,1),(533,1)}
       371:{2,3,4,7}:{(320,1),(321,1),(328,1),(414,1),(416,1),(429,1),(471,1),(478,1),(496,1)}
       372:{1,3,4,6}:{(321,1),(329,1),(398,1),(415,1),(416,1),(417,1),(425,1),(472,1),(479,1),(487,1),(494,1),(524,1),(528,1),(532,1),(546,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(325,1),(332,1),(410,1),(418,1),(491,1)}
       374:{1,3,5,7}:{(323,1),(324,1),(333,1),(399,1),(411,1),(418,1),(419,1)}
       375:{2,5,6}:{(324,1),(327,1),(400,1),(419,1),(420,1),(421,1)}
       376:{1,3,6}:{(325,1),(326,1),(334,1),(413,1),(421,1)}
       377:{2,5,7}:{(326,1),(327,1),(328,1),(421,1),(422,1)}
       378:{1,5}:{(327,1),(329,1)}
       379:{1,4,7}:{(328,1),(329,1),(330,1),(422,1)}
       380:{1,2,4,6}:{(329,1),(331,1),(338,1),(402,1),(417,1),(423,1),(424,1),(425,1),(492,1),(494,1),(532,1)}
       381:{1,2,7}:{(330,1),(331,1),(339,1),(520,1)}
       382:{3,6,7}:{(332,1),(333,1),(334,1)}
       383:{2,3,6}:{(334,1),(335,1),(341,1),(421,1),(426,1)}
       384:{1,3,5,7}:{(335,1),(336,1),(337,1),(342,1),(422,1),(426,1),(427,1),(432,1)}
       385:{2,5}:{(336,1),(338,1)}
       386:{2,4,7}:{(337,1),(338,1),(339,1),(427,1),(429,1)}
       387:{2,3,6}:{(338,1),(347,1),(403,1),(425,1),(428,1),(429,1)}
       388:{2,5,6}:{(340,1),(341,1),(344,1),(430,1),(547,1)}
       389:{1,4,6}:{(341,1),(342,1),(426,1),(430,1),(431,1)}
       390:{2,4,5,7}:{(342,1),(343,1),(346,1),(427,1),(431,1),(432,1),(434,1),(496,1),(499,1),(533,1),(534,1)}
       391:{3,5}:{(343,1),(347,1),(433,1)}
       392:{1,5,7}:{(344,1),(345,1),(430,1),(434,1)}
       393:{2,4,6,7}:{(345,1),(346,1),(348,1),(431,1),(434,1),(435,1),(499,1)}
       394:{3,7}:{(346,1),(347,1)}
       395:{2,4,7}:{(349,1),(350,1),(353,1),(436,1)}
       396:{3,6}:{(350,1),(351,1),(436,1)}
       397:{2,3,5}:{(351,1),(352,1),(355,1),(437,1),(438,1),(509,1)}
       398:{1,3,4}:{(352,1),(356,1),(438,1),(439,1),(442,1)}
       399:{1,3,4,7}:{(353,1),(354,1),(358,1),(374,1),(436,1),(440,1),(444,1),(500,1),(504,1),(537,1)}
       400:{2,4,6}:{(354,1),(355,1),(375,1),(437,1),(440,1),(441,1),(501,1)}
       401:{1,4,5}:{(355,1),(356,1),(378,1),(438,1),(441,1)}
       402:{1,2,4}:{(356,1),(357,1),(359,1),(439,1),(442,1)}
       403:{2,3}:{(359,1),(442,1)}
       404:{3,5,6,7}:{(360,1),(362,1),(365,1),(443,1),(450,1),(502,1)}
       405:{4,7}:{(360,1),(361,1)}
       406:{3,4,6}:{(361,1),(364,1),(367,1),(444,1),(445,1)}
       407:{4,6}:{(362,1),(363,1)}
       408:{3,4,5,7}:{(363,1),(364,1),(369,1),(444,1),(447,1),(448,1),(469,1),(502,1),(519,1)}
       409:{2,4,5}:{(364,1),(370,1),(445,1),(449,1),(466,1)}
       410:{2,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(443,1),(450,1),(458,1)}
       411:{3,5,7}:{(366,1),(367,1),(436,1),(444,1),(450,1)}
       412:{2,3,5,6}:{(367,1),(370,1),(375,1),(437,1),(445,1),(451,1),(452,1),(453,1),(506,1)}
       413:{3,6}:{(368,1),(369,1)}
       414:{2,3,5,7}:{(369,1),(370,1),(371,1),(377,1),(448,1),(453,1),(454,1)}
       415:{1,3,5}:{(370,1),(372,1),(378,1),(449,1),(455,1),(509,1),(542,1),(550,1)}
       416:{1,3,4,7}:{(371,1),(372,1),(379,1),(454,1),(456,1),(463,1),(500,1),(504,1),(516,1),(537,1),(540,1)}
       417:{2,4,6}:{(372,1),(439,1),(455,1),(456,1),(457,1),(501,1),(512,1),(514,1)}
       418:{1,3,6,7}:{(373,1),(374,1),(376,1),(382,1),(450,1),(458,1)}
       419:{2,5,7}:{(374,1),(375,1),(440,1),(458,1),(459,1)}
       420:{1,5,6}:{(375,1),(378,1),(441,1),(459,1),(460,1)}
       421:{2,6}:{(376,1),(377,1),(460,1)}
       422:{1,5,7}:{(377,1),(378,1),(379,1),(460,1)}
       423:{1,2,5}:{(378,1),(380,1),(385,1),(455,1),(462,1),(542,1)}
       424:{1,2,4,7}:{(379,1),(380,1),(381,1),(386,1),(456,1),(461,1),(463,1),(516,1)}
       425:{1,3,6}:{(380,1),(387,1),(442,1),(457,1),(462,1),(463,1)}
       426:{1,3,6}:{(383,1),(384,1),(389,1),(460,1),(464,1),(468,1)}
       427:{2,5,7}:{(384,1),(385,1),(386,1),(464,1)}
       428:{2,3,5}:{(385,1),(387,1),(391,1),(462,1),(466,1)}
       429:{2,3,7}:{(386,1),(387,1),(394,1),(463,1)}
       430:{1,5,6}:{(388,1),(389,1),(392,1),(467,1),(542,1)}
       431:{2,4,6}:{(389,1),(390,1),(464,1),(467,1),(468,1),(518,1)}
       432:{3,5,7}:{(390,1),(391,1),(394,1),(468,1),(469,1),(519,1)}
       433:{3,4}:{(391,1),(466,1)}
       434:{2,5,7}:{(392,1),(393,1),(467,1),(470,1)}
       435:{3,6,7}:{(393,1),(394,1),(468,1),(470,1)}
       436:{3,7}:{(395,1),(396,1)}
       437:{2,3,6}:{(396,1),(397,1),(400,1),(471,1),(472,1),(524,1)}
       438:{1,3,5}:{(397,1),(398,1),(401,1),(472,1),(473,1)}
       439:{2,4}:{(398,1),(473,1),(474,1)}
       440:{2,4,7}:{(399,1),(400,1),(419,1),(471,1),(475,1),(520,1)}
       441:{1,4,6}:{(400,1),(401,1),(420,1),(472,1),(475,1)}
       442:{1,3}:{(402,1),(403,1),(474,1)}
       443:{4,6,7}:{(404,1),(405,1),(407,1),(476,1)}
       444:{3,4,7}:{(405,1),(406,1),(411,1),(478,1)}
       445:{2,4,6}:{(406,1),(409,1),(412,1),(478,1),(479,1)}
       446:{4,5,6}:{(407,1),(476,1),(480,1),(534,1)}
       447:{3,4,6}:{(407,1),(408,1),(413,1),(480,1),(481,1)}
       448:{2,4,5,7}:{(408,1),(409,1),(414,1),(478,1),(481,1),(482,1),(496,1),(521,1),(533,1)}
       449:{1,4,5}:{(409,1),(415,1),(479,1),(483,1),(494,1),(552,1)}
       450:{3,6,7}:{(410,1),(411,1),(413,1)}
       451:{2,3,5,7}:{(411,1),(412,1),(419,1),(471,1),(478,1),(484,1),(485,1),(521,1)}
       452:{1,3,5,6}:{(412,1),(415,1),(420,1),(472,1),(479,1),(485,1),(486,1),(487,1),(524,1),(525,1),(545,1)}
       453:{2,3,6}:{(413,1),(414,1),(421,1),(481,1),(487,1)}
       454:{1,3,5,7}:{(414,1),(415,1),(416,1),(422,1),(482,1),(487,1),(488,1),(527,1)}
       455:{2,5}:{(415,1),(417,1)}
       456:{2,4,7}:{(416,1),(417,1),(488,1),(490,1),(520,1)}
       457:{2,3,6}:{(417,1),(425,1),(474,1),(489,1),(490,1),(524,1)}
       458:{2,6,7}:{(418,1),(419,1),(421,1),(491,1)}
       459:{1,5,7}:{(419,1),(420,1),(475,1),(491,1)}
       460:{1,6}:{(421,1),(422,1)}
       461:{1,2,5,7}:{(422,1),(423,1),(424,1),(427,1),(488,1),(492,1),(493,1)}
       462:{1,3,5}:{(423,1),(425,1),(428,1),(489,1),(494,1)}
       463:{1,3,7}:{(424,1),(425,1),(429,1),(490,1)}
       464:{2,6}:{(426,1),(427,1)}
       465:{2,3,5,7}:{(427,1),(428,1),(429,1),(432,1),(493,1),(495,1),(496,1),(533,1)}
       466:{2,4}:{(428,1),(433,1),(494,1)}
       467:{2,5,6}:{(430,1),(431,1),(434,1),(497,1),(533,1)}
       468:{3,6}:{(431,1),(432,1)}
       469:{3,4,7}:{(432,1),(433,1),(496,1),(498,1),(499,1)}
       470:{3,5,7}:{(434,1),(435,1),(497,1),(499,1)}
       471:{2,3,7}:{(436,1),(437,1),(440,1),(500,1),(537,1)}
       472:{1,3,6}:{(437,1),(438,1),(441,1),(500,1),(501,1)}
       473:{2,5}:{(438,1),(439,1),(501,1)}
       474:{2,3}:{(439,1),(442,1)}
       475:{1,4,7}:{(440,1),(441,1),(459,1),(500,1)}
       476:{4,5,7}:{(443,1),(446,1),(502,1)}
       477:{3,4,6,7}:{(443,1),(444,1),(447,1),(450,1),(502,1),(503,1)}
       478:{2,4,7}:{(444,1),(445,1),(451,1),(504,1)}
       479:{1,4,6}:{(445,1),(449,1),(452,1),(504,1),(505,1),(549,1)}
       480:{3,5,6}:{(446,1),(447,1),(502,1),(506,1),(519,1)}
       481:{2,4,6}:{(447,1),(448,1),(453,1),(506,1),(507,1)}
       482:{1,4,5,7}:{(448,1),(449,1),(454,1),(504,1),(507,1),(508,1),(516,1),(535,1),(542,1)}
       483:{2,4,5}:{(449,1),(455,1),(505,1),(509,1),(514,1)}
       484:{2,3,6,7}:{(450,1),(451,1),(453,1),(458,1),(503,1),(510,1)}
       485:{1,3,5,7}:{(451,1),(452,1),(459,1),(500,1),(504,1),(510,1),(511,1),(535,1),(537,1),(548,1)}
       486:{2,5,6}:{(452,1),(455,1),(501,1),(505,1),(511,1),(512,1)}
       487:{1,3,6}:{(453,1),(454,1),(460,1),(507,1),(512,1),(539,1)}
       488:{2,5,7}:{(454,1),(455,1),(456,1),(512,1)}
       489:{2,3,5}:{(455,1),(457,1),(462,1),(509,1),(514,1)}
       490:{2,3,7}:{(456,1),(457,1),(463,1),(537,1)}
       491:{1,6,7}:{(458,1),(459,1),(460,1)}
       492:{1,2,6}:{(460,1),(461,1),(464,1),(512,1),(515,1)}
       493:{1,3,5,7}:{(461,1),(462,1),(463,1),(465,1),(513,1),(515,1),(516,1),(542,1)}
       494:{1,4}:{(462,1),(466,1),(514,1)}
       495:{2,3,6}:{(464,1),(465,1),(468,1),(515,1),(517,1)}
       496:{2,4,7}:{(465,1),(466,1),(469,1),(516,1),(517,1)}
       497:{3,5,6}:{(467,1),(468,1),(470,1),(518,1),(519,1)}
       498:{3,4,6}:{(468,1),(469,1),(517,1),(518,1),(519,1)}
       499:{4,7}:{(470,1),(518,1)}
       500:{1,3,7}:{(471,1),(472,1),(475,1),(520,1)}
       501:{2,6}:{(472,1),(473,1),(520,1)}
       502:{3,5,7}:{(476,1),(477,1),(480,1),(521,1)}
       503:{2,4,6,7}:{(477,1),(478,1),(481,1),(484,1),(521,1),(522,1)}
       504:{1,4,7}:{(478,1),(479,1),(485,1),(523,1),(551,1)}
       505:{2,4,6}:{(479,1),(483,1),(486,1),(523,1),(524,1)}
       506:{2,5,6}:{(480,1),(481,1),(521,1),(525,1),(533,1)}
       507:{1,4,6}:{(481,1),(482,1),(487,1),(525,1),(526,1)}
       508:{2,4,5,7}:{(482,1),(483,1),(488,1),(523,1),(526,1),(527,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       509:{3,5}:{(483,1),(524,1),(528,1)}
       510:{1,3,6,7}:{(484,1),(485,1),(487,1),(491,1),(522,1),(529,1),(544,1)}
       511:{2,5,7}:{(485,1),(486,1),(520,1),(523,1),(529,1)}
       512:{2,6}:{(487,1),(488,1)}
       513:{2,3,5,7}:{(488,1),(489,1),(490,1),(493,1),(527,1),(530,1),(531,1),(547,1)}
       514:{2,4}:{(489,1),(494,1),(528,1)}
       515:{1,3,6}:{(492,1),(493,1),(495,1),(530,1),(532,1)}
       516:{1,4,7}:{(493,1),(494,1),(496,1),(531,1),(532,1)}
       517:{2,4,6}:{(495,1),(496,1),(498,1),(532,1),(533,1)}
       518:{4,6}:{(497,1),(499,1),(534,1)}
       519:{3,5}:{(498,1),(533,1),(534,1)}
       520:{2,7}:{(500,1),(501,1)}
       521:{2,5,7}:{(502,1),(503,1),(506,1),(535,1)}
       522:{1,4,6,7}:{(503,1),(504,1),(507,1),(510,1),(535,1),(536,1)}
       523:{2,4,7}:{(504,1),(505,1),(511,1),(537,1)}
       524:{3,6}:{(505,1),(509,1),(537,1)}
       525:{1,5,6}:{(506,1),(507,1),(535,1),(538,1),(542,1)}
       526:{2,4,6}:{(507,1),(508,1),(512,1),(538,1),(539,1),(549,1)}
       527:{3,5,7}:{(508,1),(509,1),(537,1),(539,1),(540,1),(550,1)}
       528:{3,4}:{(509,1),(514,1)}
       529:{2,6,7}:{(510,1),(511,1),(512,1)}
       530:{2,3,6}:{(512,1),(513,1),(515,1),(539,1),(541,1)}
       531:{2,4,7}:{(513,1),(514,1),(516,1),(540,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(519,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{1,5,7}:{(521,1),(522,1),(525,1),(543,1)}
       536:{2,4,6,7}:{(522,1),(523,1),(526,1),(529,1),(543,1),(544,1),(551,1)}
       537:{3,7}:{(523,1),(524,1)}
       538:{2,5,6}:{(525,1),(526,1),(543,1),(545,1),(547,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{3,4,7}:{(527,1),(528,1),(531,1),(546,1),(551,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(538,1),(548,1)}
       544:{3,6,7}:{(536,1),(537,1),(539,1),(548,1)}
       545:{3,5,6}:{(538,1),(539,1),(548,1),(549,1),(550,1)}
       546:{3,4,6}:{(539,1),(540,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(545,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 269 :   0:{3,4,5}:{(2,1),(3,1),(89,1),(123,1)}
         1:{4,5,6}:{(5,1),(6,1),(135,1),(149,1)}
         2:{3,4,6}:{(0,1),(5,1),(7,1),(8,1)}
         3:{2,4,5}:{(0,1),(4,1),(7,1),(9,1),(73,1),(109,1)}
         4:{2,3,5}:{(3,1),(10,1),(11,1),(12,1)}
         5:{3,5,6}:{(1,1),(2,1),(13,1),(14,1),(123,1),(146,1)}
         6:{4,5,7}:{(1,1),(14,1),(15,1)}
         7:{2,4,6}:{(2,1),(3,1),(11,1),(13,1),(16,1),(17,1)}
         8:{3,4,7}:{(2,1),(14,1),(17,1)}
         9:{1,4,5}:{(3,1),(12,1),(16,1),(18,1),(59,1),(93,1)}
        10:{2,3,4}:{(4,1),(19,1),(69,1),(73,1)}
        11:{2,3,6}:{(4,1),(7,1),(20,1),(21,1)}
        12:{1,3,5}:{(4,1),(9,1),(19,1),(20,1),(22,1),(29,1)}
        13:{2,5,6}:{(5,1),(7,1),(23,1),(24,1),(109,1),(140,1)}
        14:{3,5,7}:{(5,1),(6,1),(8,1),(24,1),(25,1)}
        15:{4,6,7}:{(6,1),(25,1),(26,1),(149,1)}
        16:{1,4,6}:{(7,1),(9,1),(20,1),(23,1),(27,1),(28,1)}
        17:{2,4,7}:{(7,1),(8,1),(21,1),(24,1),(28,1)}
        18:{2,4,5}:{(9,1),(22,1),(27,1),(29,1),(47,1),(77,1),(80,1)}
        19:{1,3,4}:{(10,1),(12,1),(30,1),(40,1),(54,1),(59,1)}
        20:{1,3,6}:{(11,1),(12,1),(16,1),(32,1),(33,1),(38,1)}
        21:{2,3,7}:{(11,1),(17,1),(33,1)}
        22:{2,5}:{(12,1),(30,1),(32,1)}
        23:{1,5,6}:{(13,1),(16,1),(35,1),(36,1),(93,1),(130,1)}
        24:{2,5,7}:{(13,1),(14,1),(17,1),(36,1),(37,1)}
        25:{3,6,7}:{(14,1),(15,1),(37,1),(146,1)}
        26:{5,6,7}:{(15,1),(152,1)}
        27:{2,4,6}:{(16,1),(18,1),(32,1),(35,1),(38,1),(39,1),(63,1)}
        28:{1,4,7}:{(16,1),(17,1),(33,1),(36,1),(39,1)}
        29:{3,5}:{(18,1),(38,1),(40,1)}
        30:{2,4}:{(19,1),(22,1),(42,1)}
        31:{1,2,5}:{(22,1),(41,1),(43,1),(44,1),(104,1)}
        32:{2,6}:{(20,1),(22,1),(46,1)}
        33:{1,3,7}:{(20,1),(21,1),(28,1),(46,1),(52,1)}
        34:{2,3,5}:{(22,1),(29,1),(42,1),(44,1),(45,1),(47,1),(77,1)}
        35:{2,5,6}:{(23,1),(27,1),(48,1),(49,1),(77,1),(116,1)}
        36:{1,5,7}:{(23,1),(24,1),(28,1),(49,1),(50,1)}
        37:{2,6,7}:{(24,1),(25,1),(50,1),(140,1)}
        38:{3,6}:{(27,1),(29,1),(52,1)}
        39:{2,4,7}:{(27,1),(28,1),(46,1),(49,1),(52,1),(81,1)}
        40:{3,4}:{(29,1),(47,1)}
        41:{1,2,4}:{(30,1),(31,1),(54,1),(59,1),(86,1)}
        42:{2,3}:{(30,1),(54,1)}
        43:{1,2,6}:{(31,1),(32,1),(57,1),(58,1),(121,1)}
        44:{1,3,5}:{(31,1),(34,1),(54,1),(56,1),(57,1),(59,1),(93,1)}
        45:{2,3,6}:{(32,1),(34,1),(38,1),(57,1),(60,1),(61,1)}
        46:{2,7}:{(32,1),(33,1)}
        47:{2,4}:{(34,1),(40,1),(59,1)}
        48:{3,5,6}:{(35,1),(38,1),(63,1),(64,1),(66,1),(103,1),(133,1)}
        49:{2,5,7}:{(35,1),(36,1),(39,1),(64,1),(65,1)}
        50:{1,6,7}:{(36,1),(37,1),(65,1),(130,1)}
        51:{3,4,6}:{(38,1),(40,1),(60,1),(63,1),(66,1),(67,1),(103,1)}
        52:{3,7}:{(38,1),(39,1)}
        53:{3,4,5}:{(40,1),(62,1),(66,1),(68,1)}
        54:{1,3}:{(41,1),(42,1),(69,1)}
        55:{2,3,4}:{(42,1),(47,1),(70,1),(71,1)}
        56:{2,3,5}:{(44,1),(69,1),(72,1),(73,1),(104,1),(108,1),(109,1)}
        57:{1,3,6}:{(43,1),(44,1),(45,1),(72,1),(74,1),(75,1)}
        58:{1,2,7}:{(43,1),(46,1),(75,1),(134,1)}
        59:{1,4}:{(44,1),(47,1),(73,1)}
        60:{2,4,6}:{(45,1),(47,1),(51,1),(74,1),(77,1),(78,1),(116,1)}
        61:{2,3,7}:{(45,1),(46,1),(52,1),(75,1),(78,1)}
        62:{2,4,5}:{(47,1),(53,1),(71,1),(76,1),(77,1),(79,1)}
        63:{4,6}:{(48,1),(80,1),(81,1)}
        64:{3,5,7}:{(48,1),(49,1),(52,1),(81,1),(82,1),(119,1)}
        65:{2,6,7}:{(49,1),(50,1),(82,1),(116,1)}
        66:{3,5}:{(51,1),(77,1),(80,1)}
        67:{3,4,7}:{(51,1),(52,1),(78,1),(81,1),(84,1)}
        68:{3,4,6}:{(53,1),(79,1),(83,1),(85,1)}
        69:{2,3}:{(54,1),(86,1)}
        70:{1,3,4}:{(54,1),(55,1),(59,1),(86,1),(87,1),(89,1)}
        71:{2,3,5}:{(55,1),(62,1),(87,1),(88,1)}
        72:{2,3,6}:{(56,1),(57,1),(90,1),(91,1),(121,1),(125,1)}
        73:{2,4}:{(56,1),(59,1),(89,1)}
        74:{1,4,6}:{(57,1),(59,1),(60,1),(90,1),(93,1),(94,1),(130,1)}
        75:{1,3,7}:{(57,1),(58,1),(61,1),(91,1),(94,1)}
        76:{1,4,5}:{(59,1),(62,1),(87,1),(92,1),(93,1),(95,1)}
        77:{2,5}:{(60,1),(66,1),(93,1)}
        78:{2,4,7}:{(60,1),(61,1),(67,1),(94,1),(97,1)}
        79:{2,4,6}:{(62,1),(68,1),(88,1),(95,1),(96,1),(98,1)}
        80:{4,5}:{(63,1),(66,1)}
        81:{4,7}:{(63,1),(64,1)}
        82:{3,6,7}:{(64,1),(65,1),(101,1),(103,1)}
        83:{3,5,6}:{(66,1),(68,1),(96,1),(99,1),(102,1),(103,1)}
        84:{3,5,7}:{(66,1),(67,1),(97,1),(100,1),(103,1)}
        85:{3,4,7}:{(68,1),(98,1),(102,1)}
        86:{2,4}:{(69,1),(70,1),(104,1)}
        87:{1,3,5}:{(70,1),(71,1),(76,1),(104,1),(105,1),(108,1)}
        88:{2,3,6}:{(71,1),(79,1),(105,1),(106,1)}
        89:{3,4}:{(73,1),(108,1)}
        90:{2,4,6}:{(72,1),(73,1),(74,1),(107,1),(109,1),(110,1),(140,1)}
        91:{2,3,7}:{(72,1),(75,1),(110,1),(134,1),(138,1)}
        92:{2,4,5}:{(73,1),(76,1),(104,1),(108,1),(109,1),(111,1),(135,1)}
        93:{1,5}:{(74,1),(77,1),(109,1)}
        94:{1,4,7}:{(74,1),(75,1),(78,1),(110,1),(113,1)}
        95:{1,4,6}:{(76,1),(79,1),(105,1),(111,1),(112,1),(114,1)}
        96:{2,5,6}:{(77,1),(79,1),(83,1),(112,1),(115,1),(116,1)}
        97:{2,5,7}:{(77,1),(78,1),(84,1),(113,1),(116,1)}
        98:{2,4,7}:{(79,1),(85,1),(106,1),(114,1),(115,1)}
        99:{4,5,6}:{(80,1),(83,1),(117,1),(118,1)}
       100:{4,5,7}:{(80,1),(81,1),(84,1),(118,1),(119,1)}
       101:{4,6,7}:{(81,1),(82,1),(118,1),(119,1)}
       102:{3,5,7}:{(83,1),(85,1),(115,1),(117,1),(120,1)}
       103:{3,6}:{(84,1),(116,1),(118,1)}
       104:{2,5}:{(86,1),(87,1),(121,1)}
       105:{1,3,6}:{(87,1),(88,1),(95,1),(121,1),(122,1),(125,1)}
       106:{2,3,7}:{(88,1),(98,1),(122,1)}
       107:{3,4,6}:{(89,1),(90,1),(123,1),(124,1),(125,1),(143,1),(146,1)}
       108:{3,5}:{(89,1),(92,1),(125,1)}
       109:{2,5}:{(90,1),(93,1),(123,1)}
       110:{2,4,7}:{(90,1),(91,1),(94,1),(124,1),(127,1)}
       111:{2,4,6}:{(92,1),(95,1),(121,1),(125,1),(126,1),(128,1),(143,1)}
       112:{1,5,6}:{(93,1),(95,1),(96,1),(126,1),(129,1),(130,1)}
       113:{1,5,7}:{(93,1),(94,1),(97,1),(127,1),(130,1)}
       114:{1,4,7}:{(95,1),(98,1),(122,1),(128,1),(129,1)}
       115:{2,5,7}:{(96,1),(98,1),(102,1),(129,1),(131,1)}
       116:{2,6}:{(97,1),(103,1),(130,1)}
       117:{4,5,7}:{(99,1),(102,1),(132,1)}
       118:{4,6}:{(100,1),(103,1),(133,1)}
       119:{5,7}:{(101,1),(133,1)}
       120:{3,6,7}:{(102,1),(103,1),(131,1),(132,1)}
       121:{2,6}:{(104,1),(105,1),(134,1)}
       122:{1,3,7}:{(105,1),(106,1),(114,1),(134,1),(138,1)}
       123:{3,5}:{(107,1),(109,1),(135,1)}
       124:{3,4,7}:{(107,1),(110,1),(137,1),(138,1),(148,1)}
       125:{3,6}:{(108,1),(111,1),(138,1)}
       126:{2,5,6}:{(109,1),(111,1),(112,1),(136,1),(139,1),(140,1)}
       127:{2,5,7}:{(109,1),(110,1),(113,1),(137,1),(140,1)}
       128:{2,4,7}:{(111,1),(114,1),(134,1),(138,1),(139,1),(148,1)}
       129:{1,5,7}:{(112,1),(114,1),(115,1),(139,1),(141,1)}
       130:{1,6}:{(113,1),(116,1),(140,1)}
       131:{2,6,7}:{(115,1),(116,1),(120,1),(141,1)}
       132:{4,6,7}:{(117,1),(118,1),(120,1),(142,1)}
       133:{5,6}:{(118,1),(119,1)}
       134:{2,7}:{(121,1),(122,1)}
       135:{4,5}:{(123,1),(143,1)}
       136:{3,5,6}:{(123,1),(125,1),(126,1),(143,1),(145,1),(146,1),(152,1)}
       137:{3,5,7}:{(123,1),(124,1),(127,1),(144,1),(146,1)}
       138:{3,7}:{(125,1),(128,1)}
       139:{2,5,7}:{(126,1),(128,1),(129,1),(145,1),(147,1)}
       140:{2,6}:{(127,1),(130,1),(146,1)}
       141:{1,6,7}:{(129,1),(130,1),(131,1),(147,1)}
       142:{5,6,7}:{(132,1),(133,1)}
       143:{4,6}:{(135,1),(136,1),(148,1)}
       144:{4,5,7}:{(135,1),(137,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(136,1),(138,1),(139,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(137,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 270 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(126,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(105,1),(126,1)}
         4:{3,4,6}:{(1,1),(3,1),(9,1),(10,1)}
         5:{2,5,6}:{(1,1),(9,1),(11,1),(12,1),(113,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
         7:{4,6,7}:{(2,1),(13,1),(14,1),(149,1)}
         8:{2,4,5}:{(3,1),(9,1),(15,1),(16,1),(88,1),(113,1)}
         9:{2,4,6}:{(4,1),(5,1),(8,1),(18,1),(19,1),(20,1)}
        10:{3,4,7}:{(4,1),(6,1),(20,1)}
        11:{1,5,6}:{(5,1),(19,1),(21,1),(22,1),(97,1),(131,1)}
        12:{2,5,7}:{(5,1),(6,1),(20,1),(22,1),(23,1)}
        13:{3,6,7}:{(6,1),(7,1),(23,1),(146,1)}
        14:{5,6,7}:{(7,1),(152,1)}
        15:{2,3,5}:{(8,1),(17,1),(18,1),(24,1)}
        16:{1,4,5}:{(8,1),(19,1),(24,1),(25,1),(72,1),(97,1)}
        17:{2,3,4}:{(15,1),(26,1),(75,1),(88,1)}
        18:{2,3,6}:{(9,1),(15,1),(27,1),(28,1)}
        19:{1,4,6}:{(9,1),(11,1),(16,1),(27,1),(29,1),(30,1)}
        20:{2,4,7}:{(9,1),(10,1),(12,1),(28,1),(30,1)}
        21:{2,5,6}:{(11,1),(29,1),(31,1),(32,1),(81,1),(118,1)}
        22:{1,5,7}:{(11,1),(12,1),(30,1),(32,1),(33,1)}
        23:{2,6,7}:{(12,1),(13,1),(33,1),(140,1)}
        24:{1,3,5}:{(15,1),(16,1),(26,1),(27,1),(34,1),(35,1)}
        25:{2,4,5}:{(16,1),(29,1),(34,1),(35,1),(54,1),(58,1),(81,1)}
        26:{1,3,4}:{(17,1),(24,1),(36,1),(46,1),(60,1),(72,1)}
        27:{1,3,6}:{(18,1),(19,1),(24,1),(37,1),(38,1),(39,1)}
        28:{2,3,7}:{(18,1),(20,1),(38,1)}
        29:{2,4,6}:{(19,1),(21,1),(25,1),(37,1),(39,1),(40,1),(41,1)}
        30:{1,4,7}:{(19,1),(20,1),(22,1),(38,1),(40,1)}
        31:{3,5,6}:{(21,1),(39,1),(41,1),(42,1),(66,1),(102,1),(104,1)}
        32:{2,5,7}:{(21,1),(22,1),(40,1),(42,1),(43,1)}
        33:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        34:{2,5}:{(24,1),(36,1),(37,1)}
        35:{3,5}:{(25,1),(39,1),(46,1)}
        36:{2,4}:{(26,1),(34,1),(48,1)}
        37:{2,6}:{(27,1),(34,1),(51,1)}
        38:{1,3,7}:{(27,1),(28,1),(30,1),(51,1),(53,1)}
        39:{3,6}:{(29,1),(35,1),(53,1)}
        40:{2,4,7}:{(29,1),(30,1),(32,1),(51,1),(53,1),(55,1)}
        41:{4,6}:{(31,1),(54,1),(55,1)}
        42:{3,5,7}:{(31,1),(32,1),(53,1),(55,1),(56,1),(87,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(118,1)}
        44:{1,2,5}:{(34,1),(47,1),(49,1),(57,1),(109,1)}
        45:{2,3,5}:{(34,1),(35,1),(48,1),(50,1),(57,1),(58,1),(81,1)}
        46:{3,4}:{(35,1),(58,1)}
        47:{1,2,4}:{(36,1),(44,1),(60,1),(72,1),(92,1)}
        48:{2,3}:{(36,1),(60,1)}
        49:{1,2,6}:{(37,1),(44,1),(62,1),(63,1),(124,1)}
        50:{2,3,6}:{(37,1),(39,1),(45,1),(62,1),(64,1),(65,1)}
        51:{2,7}:{(37,1),(38,1)}
        52:{3,4,6}:{(39,1),(41,1),(46,1),(64,1),(66,1),(67,1),(102,1)}
        53:{3,7}:{(39,1),(40,1)}
        54:{4,5}:{(41,1),(66,1)}
        55:{4,7}:{(41,1),(42,1)}
        56:{3,6,7}:{(42,1),(43,1),(70,1),(102,1)}
        57:{1,3,5}:{(44,1),(45,1),(60,1),(62,1),(71,1),(72,1),(97,1)}
        58:{2,4}:{(45,1),(46,1),(72,1)}
        59:{3,4,5}:{(46,1),(66,1),(73,1),(74,1)}
        60:{1,3}:{(47,1),(48,1),(75,1)}
        61:{2,3,4}:{(48,1),(58,1),(76,1),(77,1)}
        62:{1,3,6}:{(49,1),(50,1),(57,1),(78,1),(79,1),(80,1)}
        63:{1,2,7}:{(49,1),(51,1),(80,1),(135,1)}
        64:{2,4,6}:{(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(118,1)}
        65:{2,3,7}:{(50,1),(51,1),(53,1),(80,1),(82,1)}
        66:{3,5}:{(52,1),(54,1),(81,1)}
        67:{3,4,7}:{(52,1),(53,1),(55,1),(82,1),(84,1)}
        68:{4,5,6}:{(54,1),(83,1),(85,1),(86,1)}
        69:{4,5,7}:{(54,1),(55,1),(84,1),(86,1),(87,1)}
        70:{4,6,7}:{(55,1),(56,1),(86,1),(87,1)}
        71:{2,3,5}:{(57,1),(75,1),(78,1),(88,1),(109,1),(113,1),(121,1)}
        72:{1,4}:{(57,1),(58,1),(88,1)}
        73:{2,4,5}:{(58,1),(59,1),(77,1),(81,1),(89,1),(90,1)}
        74:{3,4,6}:{(59,1),(83,1),(90,1),(91,1)}
        75:{2,3}:{(60,1),(92,1)}
        76:{1,3,4}:{(60,1),(61,1),(72,1),(92,1),(93,1),(105,1)}
        77:{2,3,5}:{(61,1),(73,1),(93,1),(94,1)}
        78:{2,3,6}:{(62,1),(71,1),(95,1),(96,1),(124,1),(133,1)}
        79:{1,4,6}:{(62,1),(64,1),(72,1),(95,1),(97,1),(98,1),(131,1)}
        80:{1,3,7}:{(62,1),(63,1),(65,1),(96,1),(98,1)}
        81:{2,5}:{(64,1),(66,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(67,1),(98,1),(100,1)}
        83:{3,5,6}:{(66,1),(68,1),(74,1),(99,1),(101,1),(102,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(100,1),(102,1)}
        85:{4,5,7}:{(68,1),(101,1),(103,1)}
        86:{4,6}:{(69,1),(102,1),(104,1)}
        87:{5,7}:{(70,1),(104,1)}
        88:{2,4}:{(71,1),(72,1),(105,1)}
        89:{1,4,5}:{(72,1),(73,1),(93,1),(97,1),(106,1),(107,1)}
        90:{2,4,6}:{(73,1),(74,1),(94,1),(99,1),(107,1),(108,1)}
        91:{3,4,7}:{(74,1),(101,1),(108,1)}
        92:{2,4}:{(75,1),(76,1),(109,1)}
        93:{1,3,5}:{(76,1),(77,1),(89,1),(109,1),(110,1),(121,1)}
        94:{2,3,6}:{(77,1),(90,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(88,1),(112,1),(113,1),(114,1),(140,1)}
        96:{2,3,7}:{(78,1),(80,1),(114,1),(135,1),(142,1)}
        97:{1,5}:{(79,1),(81,1),(113,1)}
        98:{1,4,7}:{(79,1),(80,1),(82,1),(114,1),(116,1)}
        99:{2,5,6}:{(81,1),(83,1),(90,1),(115,1),(117,1),(118,1)}
       100:{2,5,7}:{(81,1),(82,1),(84,1),(116,1),(118,1)}
       101:{3,5,7}:{(83,1),(85,1),(91,1),(117,1),(119,1)}
       102:{3,6}:{(84,1),(86,1),(118,1)}
       103:{4,6,7}:{(85,1),(86,1),(119,1),(120,1)}
       104:{5,6}:{(86,1),(87,1)}
       105:{3,4}:{(88,1),(121,1)}
       106:{2,4,5}:{(88,1),(89,1),(109,1),(113,1),(121,1),(122,1),(136,1)}
       107:{1,4,6}:{(89,1),(90,1),(110,1),(115,1),(122,1),(123,1)}
       108:{2,4,7}:{(90,1),(91,1),(111,1),(117,1),(123,1)}
       109:{2,5}:{(92,1),(93,1),(124,1)}
       110:{1,3,6}:{(93,1),(94,1),(107,1),(124,1),(125,1),(133,1)}
       111:{2,3,7}:{(94,1),(108,1),(125,1)}
       112:{3,4,6}:{(95,1),(105,1),(126,1),(127,1),(133,1),(143,1),(146,1)}
       113:{2,5}:{(95,1),(97,1),(126,1)}
       114:{2,4,7}:{(95,1),(96,1),(98,1),(127,1),(129,1)}
       115:{1,5,6}:{(97,1),(99,1),(107,1),(128,1),(130,1),(131,1)}
       116:{1,5,7}:{(97,1),(98,1),(100,1),(129,1),(131,1)}
       117:{2,5,7}:{(99,1),(101,1),(108,1),(130,1),(132,1)}
       118:{2,6}:{(100,1),(102,1),(131,1)}
       119:{3,6,7}:{(101,1),(102,1),(103,1),(132,1)}
       120:{5,6,7}:{(103,1),(104,1)}
       121:{3,5}:{(105,1),(106,1),(133,1)}
       122:{2,4,6}:{(106,1),(107,1),(124,1),(128,1),(133,1),(134,1),(143,1)}
       123:{1,4,7}:{(107,1),(108,1),(125,1),(130,1),(134,1)}
       124:{2,6}:{(109,1),(110,1),(135,1)}
       125:{1,3,7}:{(110,1),(111,1),(123,1),(135,1),(142,1)}
       126:{3,5}:{(112,1),(113,1),(136,1)}
       127:{3,4,7}:{(112,1),(114,1),(138,1),(142,1),(148,1)}
       128:{2,5,6}:{(113,1),(115,1),(122,1),(137,1),(139,1),(140,1)}
       129:{2,5,7}:{(113,1),(114,1),(116,1),(138,1),(140,1)}
       130:{1,5,7}:{(115,1),(117,1),(123,1),(139,1),(141,1)}
       131:{1,6}:{(116,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(119,1),(141,1)}
       133:{3,6}:{(121,1),(122,1),(142,1)}
       134:{2,4,7}:{(122,1),(123,1),(135,1),(139,1),(142,1),(148,1)}
       135:{2,7}:{(124,1),(125,1)}
       136:{4,5}:{(126,1),(143,1)}
       137:{3,5,6}:{(126,1),(128,1),(133,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(126,1),(127,1),(129,1),(144,1),(146,1)}
       139:{2,5,7}:{(128,1),(130,1),(134,1),(145,1),(147,1)}
       140:{2,6}:{(129,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{3,7}:{(133,1),(134,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 271 :   0:{3,4,6,7}:{(1,1),(2,1),(14,1),(29,1),(35,1)}
         1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(18,1),(23,1)}
         2:{3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(35,1),(58,1)}
         4:{1,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(27,1),(33,1)}
         5:{2,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         6:{3,5,6}:{(2,1),(12,1),(14,1),(35,1),(102,1)}
         7:{4,5,7}:{(2,1),(14,1)}
         8:{1,3,6,7}:{(3,1),(4,1),(15,1),(16,1),(19,1),(46,1),(71,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(17,1),(18,1),(24,1),(47,1),(62,1)}
        10:{2,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(37,1),(43,1),(44,1)}
        11:{1,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        12:{2,5,6}:{(5,1),(6,1),(21,1),(23,1),(99,1)}
        13:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1),(23,1),(24,1),(40,1),(47,1),(89,1),(99,1),(104,1)}
        14:{4,6}:{(6,1),(7,1),(104,1)}
        15:{2,6,7}:{(8,1),(25,1),(58,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(30,1),(49,1),(59,1),(74,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(26,1),(28,1),(35,1),(53,1),(58,1),(73,1),(75,1),(102,1)}
        18:{2,4,7}:{(9,1),(27,1),(28,1),(29,1)}
        19:{3,6,7}:{(10,1),(30,1),(49,1),(56,1)}
        20:{2,5,7}:{(10,1),(11,1),(30,1),(31,1)}
        21:{1,5,6}:{(11,1),(12,1),(31,1),(33,1),(94,1)}
        22:{1,4,5,7}:{(11,1),(13,1),(27,1),(32,1),(33,1),(34,1),(50,1),(59,1),(79,1),(94,1)}
        23:{2,4,6}:{(12,1),(13,1),(14,1),(33,1),(35,1),(58,1)}
        24:{3,5,7}:{(13,1),(29,1),(35,1),(53,1),(96,1),(102,1)}
        25:{2,5,7}:{(15,1),(16,1),(36,1),(37,1),(85,1)}
        26:{1,3,5,6}:{(16,1),(17,1),(21,1),(36,1),(38,1),(42,1),(46,1),(61,1),(63,1),(71,1),(84,1),(86,1)}
        27:{1,4,7}:{(16,1),(18,1),(37,1),(38,1),(43,1)}
        28:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(41,1),(104,1)}
        29:{3,4,7}:{(18,1),(24,1),(41,1),(104,1)}
        30:{3,5,7}:{(19,1),(20,1),(42,1),(43,1)}
        31:{2,5,6}:{(20,1),(21,1),(42,1),(44,1),(87,1)}
        32:{2,4,5,7}:{(20,1),(22,1),(37,1),(43,1),(44,1),(45,1),(47,1),(60,1),(66,1),(68,1),(87,1)}
        33:{1,4,6}:{(21,1),(22,1),(23,1),(44,1),(46,1),(71,1)}
        34:{1,3,5,7}:{(22,1),(24,1),(39,1),(45,1),(46,1),(47,1),(63,1)}
        35:{3,6}:{(23,1),(24,1)}
        36:{2,5,6}:{(25,1),(26,1),(48,1),(58,1),(75,1),(93,1)}
        37:{2,4,7}:{(25,1),(27,1),(48,1),(49,1)}
        38:{1,4,6}:{(26,1),(27,1),(28,1),(48,1),(50,1),(54,1)}
        39:{1,3,4,7}:{(27,1),(29,1),(34,1),(49,1),(51,1),(52,1),(55,1),(74,1),(79,1),(96,1)}
        40:{2,4,5}:{(28,1),(50,1),(53,1),(75,1),(101,1)}
        41:{3,4,6}:{(28,1),(29,1),(35,1),(53,1)}
        42:{3,5,6}:{(30,1),(31,1),(54,1),(56,1),(77,1)}
        43:{4,7}:{(30,1),(54,1)}
        44:{2,4,6}:{(31,1),(32,1),(33,1),(54,1),(56,1),(58,1)}
        45:{3,5,7}:{(32,1),(49,1),(55,1),(56,1),(72,1),(77,1)}
        46:{1,3,6}:{(33,1),(34,1),(35,1),(56,1),(58,1)}
        47:{2,5,7}:{(34,1),(52,1),(58,1),(59,1),(75,1)}
        48:{2,4,6}:{(36,1),(37,1),(38,1),(60,1),(61,1)}
        49:{3,7}:{(37,1),(61,1)}
        50:{1,4,5}:{(38,1),(40,1),(60,1),(63,1),(66,1),(86,1),(97,1),(104,1)}
        51:{1,3,4,6}:{(38,1),(39,1),(41,1),(46,1),(61,1),(63,1),(64,1),(67,1),(82,1),(84,1),(88,1),(97,1),(100,1),(103,1),(104,1)}
        52:{2,4,7}:{(39,1),(47,1),(62,1),(64,1),(65,1),(85,1)}
        53:{3,5}:{(40,1),(41,1),(103,1)}
        54:{4,6}:{(42,1),(43,1),(66,1)}
        55:{3,4,7}:{(43,1),(45,1),(67,1),(68,1),(82,1)}
        56:{3,6}:{(44,1),(45,1)}
        57:{2,3,5,7}:{(45,1),(47,1),(62,1),(68,1),(69,1),(70,1),(83,1),(87,1)}
        58:{2,6}:{(46,1),(47,1),(71,1)}
        59:{1,5,7}:{(47,1),(65,1),(71,1),(86,1)}
        60:{2,4,5}:{(48,1),(50,1),(72,1),(75,1),(91,1)}
        61:{3,6}:{(48,1),(49,1),(72,1)}
        62:{2,3,7}:{(49,1),(52,1),(73,1),(74,1),(96,1)}
        63:{1,3,5}:{(50,1),(51,1),(53,1),(72,1),(75,1),(77,1),(94,1),(102,1)}
        64:{2,4,6}:{(51,1),(52,1),(58,1),(73,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        65:{1,4,7}:{(52,1),(59,1),(74,1),(76,1)}
        66:{4,5}:{(54,1),(77,1)}
        67:{3,4,6}:{(54,1),(55,1),(56,1),(77,1),(78,1)}
        68:{2,4,7}:{(55,1),(57,1),(78,1),(79,1),(91,1)}
        69:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1)}
        70:{1,3,5,7}:{(57,1),(59,1),(74,1),(79,1),(80,1),(81,1),(92,1),(94,1),(96,1),(102,1)}
        71:{1,6}:{(58,1),(59,1)}
        72:{3,5}:{(60,1),(61,1),(82,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(100,1),(103,1)}
        74:{1,3,7}:{(62,1),(65,1),(84,1),(85,1)}
        75:{2,5}:{(63,1),(64,1),(86,1)}
        76:{1,4,6}:{(64,1),(65,1),(71,1),(84,1),(86,1),(97,1)}
        77:{3,5}:{(66,1),(67,1),(87,1)}
        78:{2,4,6}:{(67,1),(68,1),(69,1),(87,1),(88,1)}
        79:{1,4,7}:{(68,1),(70,1),(88,1),(89,1),(97,1),(104,1)}
        80:{1,3,6}:{(69,1),(70,1),(71,1),(88,1),(90,1),(100,1)}
        81:{2,5,7}:{(70,1),(85,1),(89,1),(90,1),(98,1),(99,1)}
        82:{3,4}:{(72,1),(91,1)}
        83:{2,3,5}:{(72,1),(73,1),(75,1),(91,1),(92,1),(102,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(92,1),(93,1)}
        85:{2,7}:{(74,1),(93,1)}
        86:{1,5}:{(75,1),(76,1)}
        87:{2,5}:{(77,1),(78,1),(94,1)}
        88:{1,4,6}:{(78,1),(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,7}:{(79,1),(81,1),(95,1),(96,1),(101,1)}
        90:{2,6}:{(80,1),(81,1)}
        91:{2,4}:{(82,1),(83,1),(97,1),(104,1)}
        92:{1,3,5}:{(83,1),(84,1),(86,1),(97,1),(98,1),(103,1)}
        93:{2,6}:{(84,1),(85,1),(98,1)}
        94:{1,5}:{(87,1),(88,1),(99,1)}
        95:{2,4,6}:{(88,1),(89,1),(90,1),(99,1),(100,1),(104,1)}
        96:{3,7}:{(89,1),(100,1),(103,1)}
        97:{1,4}:{(91,1),(92,1),(101,1)}
        98:{2,5}:{(92,1),(93,1),(101,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{2,4}:{(97,1),(98,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{3}:{(101,1)}
       104:{4}:{(102,1)}

 272 :   0:{3,5,6,7}:{(1,1),(2,1),(10,1),(12,1),(201,1),(300,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(158,1),(259,1)}
         2:{4,6,7}:{(0,1),(5,1),(248,1),(351,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(8,1),(38,1),(120,1),(222,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(30,1),(310,1)}
         5:{4,5,7}:{(2,1),(11,1),(12,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(12,1),(13,1),(32,1),(35,1)}
         7:{2,5,6,7}:{(3,1),(14,1),(15,1),(58,1),(88,1),(186,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(17,1),(48,1),(270,1)}
         9:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(23,1),(47,1),(51,1),(158,1),(165,1),(248,1)}
        10:{3,6,7}:{(4,1),(19,1),(363,1)}
        11:{4,5,6}:{(5,1),(21,1),(351,1),(476,1)}
        12:{3,5,7}:{(5,1),(6,1),(21,1),(23,1)}
        13:{2,4,6,7}:{(6,1),(20,1),(23,1),(24,1),(51,1),(54,1)}
        14:{3,5,6,7}:{(7,1),(25,1),(27,1),(61,1),(84,1),(153,1)}
        15:{2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(30,1),(232,1)}
        16:{1,4,5,7}:{(8,1),(9,1),(26,1),(28,1),(29,1),(38,1),(70,1),(76,1),(120,1),(126,1)}
        17:{1,3,6,7}:{(8,1),(10,1),(27,1),(29,1),(30,1),(322,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(28,1),(31,1),(36,1),(68,1),(73,1),(198,1),(206,1),(295,1),(306,1),(310,1)}
        19:{3,5,7}:{(9,1),(10,1),(31,1),(32,1),(209,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(30,1),(33,1),(34,1),(79,1)}
        21:{3,5,6}:{(11,1),(12,1),(35,1),(36,1),(435,1)}
        22:{3,4,5,7}:{(12,1),(32,1),(35,1),(37,1),(72,1),(299,1),(309,1),(340,1),(435,1)}
        23:{2,5,7}:{(12,1),(13,1),(36,1),(38,1)}
        24:{1,4,6,7}:{(13,1),(34,1),(38,1),(39,1),(76,1),(80,1)}
        25:{4,6,7}:{(14,1),(40,1),(115,1),(194,1)}
        26:{2,4,5,7}:{(15,1),(16,1),(40,1),(42,1),(43,1),(47,1),(58,1),(88,1),(92,1),(107,1),(115,1)}
        27:{3,6,7}:{(15,1),(43,1),(282,1)}
        28:{1,4,5,6}:{(16,1),(18,1),(42,1),(45,1),(55,1),(97,1),(104,1),(155,1),(162,1),(266,1),(270,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(47,1)}
        30:{2,6,7}:{(17,1),(47,1),(48,1),(375,1)}
        31:{3,5,6}:{(18,1),(19,1),(49,1),(253,1),(358,1),(363,1)}
        32:{3,4,7}:{(19,1),(49,1),(51,1),(248,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(23,1),(47,1),(50,1),(51,1),(52,1),(98,1)}
        34:{1,3,6,7}:{(20,1),(24,1),(48,1),(52,1),(53,1),(59,1),(110,1)}
        35:{3,4,6}:{(21,1),(22,1),(54,1),(351,1),(363,1)}
        36:{2,5,6}:{(21,1),(23,1),(54,1),(55,1),(389,1)}
        37:{2,4,5,7}:{(22,1),(23,1),(51,1),(54,1),(56,1),(57,1),(102,1),(289,1),(389,1)}
        38:{1,5,7}:{(23,1),(24,1),(55,1),(58,1)}
        39:{2,4,6,7}:{(24,1),(53,1),(58,1),(59,1),(107,1),(111,1),(115,1)}
        40:{4,5,7}:{(25,1),(60,1),(61,1)}
        41:{3,4,6,7}:{(25,1),(27,1),(61,1),(62,1),(64,1),(117,1)}
        42:{2,4,5,6}:{(26,1),(28,1),(60,1),(63,1),(68,1),(81,1),(118,1),(123,1),(140,1),(148,1),(228,1),(232,1)}
        43:{3,5,7}:{(26,1),(27,1),(63,1),(64,1),(143,1)}
        44:{2,3,6,7}:{(27,1),(30,1),(62,1),(65,1),(66,1),(196,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(31,1),(63,1),(67,1),(68,1),(318,1),(322,1)}
        46:{1,3,4,7}:{(29,1),(32,1),(64,1),(67,1),(69,1),(76,1),(126,1),(133,1),(143,1),(209,1)}
        47:{2,5,7}:{(29,1),(30,1),(68,1),(69,1),(70,1)}
        48:{1,6,7}:{(30,1),(70,1),(424,1)}
        49:{3,4,6}:{(31,1),(32,1),(72,1),(73,1),(295,1)}
        50:{2,3,5,6}:{(31,1),(33,1),(36,1),(68,1),(73,1),(74,1),(79,1),(130,1),(137,1)}
        51:{2,4,7}:{(32,1),(33,1),(73,1),(76,1)}
        52:{1,3,5,7}:{(33,1),(34,1),(38,1),(70,1),(74,1),(76,1),(77,1),(84,1),(133,1),(143,1)}
        53:{2,6,7}:{(34,1),(77,1),(146,1)}
        54:{2,4,6}:{(35,1),(36,1),(37,1),(79,1),(80,1)}
        55:{1,5,6}:{(36,1),(38,1),(80,1),(81,1),(337,1)}
        56:{2,3,5,7}:{(37,1),(75,1),(79,1),(82,1),(137,1),(309,1),(321,1)}
        57:{1,4,5,7}:{(37,1),(38,1),(76,1),(80,1),(82,1),(83,1),(138,1),(239,1),(337,1)}
        58:{2,5,7}:{(38,1),(39,1),(81,1),(84,1)}
        59:{3,6,7}:{(39,1),(84,1),(143,1),(147,1)}
        60:{4,5,6}:{(40,1),(86,1),(194,1),(542,1)}
        61:{3,5,7}:{(40,1),(41,1),(86,1),(88,1)}
        62:{2,4,6,7}:{(41,1),(44,1),(88,1),(89,1),(92,1),(154,1)}
        63:{3,5,6}:{(42,1),(43,1),(90,1),(180,1),(277,1),(282,1)}
        64:{3,4,7}:{(43,1),(90,1),(92,1),(115,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(47,1),(88,1),(91,1),(92,1),(93,1),(98,1)}
        66:{1,3,6,7}:{(44,1),(48,1),(89,1),(93,1),(94,1),(159,1),(243,1)}
        67:{1,3,4,6}:{(45,1),(46,1),(49,1),(90,1),(95,1),(96,1),(104,1),(162,1),(170,1),(180,1),(253,1)}
        68:{2,5,6}:{(45,1),(47,1),(96,1),(97,1),(371,1),(375,1)}
        69:{2,4,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(173,1)}
        70:{1,5,7}:{(47,1),(48,1),(97,1),(99,1)}
        71:{1,2,6,7}:{(48,1),(53,1),(94,1),(100,1),(101,1),(187,1),(344,1),(375,1),(468,1),(475,1),(522,1)}
        72:{3,4,5}:{(49,1),(102,1),(347,1),(358,1),(469,1)}
        73:{2,4,6}:{(49,1),(50,1),(51,1),(102,1),(104,1)}
        74:{1,3,5,6}:{(50,1),(52,1),(55,1),(97,1),(104,1),(105,1),(110,1),(112,1),(170,1),(177,1),(180,1)}
        75:{2,3,4,7}:{(51,1),(56,1),(98,1),(103,1),(106,1),(257,1),(268,1),(279,1),(289,1)}
        76:{1,4,7}:{(51,1),(52,1),(104,1),(107,1),(115,1)}
        77:{2,5,7}:{(52,1),(53,1),(105,1),(107,1),(173,1)}
        78:{2,3,6,7}:{(53,1),(59,1),(101,1),(108,1),(109,1),(188,1),(282,1),(375,1),(440,1),(522,1),(545,1)}
        79:{2,3,6}:{(54,1),(56,1),(110,1),(363,1),(375,1)}
        80:{1,4,6}:{(54,1),(55,1),(57,1),(110,1),(111,1)}
        81:{2,5,6}:{(55,1),(58,1),(111,1),(112,1),(286,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(106,1),(110,1),(113,1),(114,1),(177,1),(374,1)}
        83:{2,4,5,7}:{(57,1),(58,1),(107,1),(111,1),(113,1),(114,1),(115,1),(178,1),(190,1),(192,1),(286,1)}
        84:{3,5,7}:{(58,1),(59,1),(112,1),(115,1)}
        85:{3,4,6,7}:{(59,1),(109,1),(115,1),(116,1),(184,1),(189,1),(194,1),(282,1),(509,1),(545,1),(552,1)}
        86:{3,5,6}:{(60,1),(61,1),(117,1),(118,1),(530,1)}
        87:{3,4,5,7}:{(61,1),(64,1),(117,1),(119,1),(122,1),(152,1),(231,1),(484,1),(530,1)}
        88:{2,5,7}:{(61,1),(62,1),(118,1),(120,1)}
        89:{1,4,6,7}:{(62,1),(66,1),(120,1),(121,1),(126,1),(197,1)}
        90:{3,4,6}:{(63,1),(64,1),(122,1),(123,1),(148,1)}
        91:{2,3,5,6}:{(63,1),(65,1),(68,1),(118,1),(123,1),(124,1),(130,1),(196,1),(203,1)}
        92:{2,4,7}:{(64,1),(65,1),(123,1),(126,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(70,1),(120,1),(124,1),(126,1),(127,1),(133,1),(201,1),(209,1)}
        94:{2,6,7}:{(66,1),(127,1),(293,1)}
        95:{1,3,4,5}:{(67,1),(72,1),(122,1),(129,1),(138,1),(204,1),(213,1),(224,1),(302,1),(315,1),(318,1)}
        96:{2,4,6}:{(67,1),(68,1),(69,1),(129,1),(130,1),(131,1),(215,1)}
        97:{1,5,6}:{(68,1),(70,1),(131,1),(421,1),(424,1)}
        98:{2,3,7}:{(69,1),(130,1),(133,1),(143,1),(209,1)}
        99:{1,4,7}:{(69,1),(70,1),(131,1),(133,1)}
       100:{1,2,5,7}:{(70,1),(71,1),(77,1),(127,1),(132,1),(134,1),(135,1),(218,1),(321,1),(502,1),(506,1),(538,1)}
       101:{1,3,6,7}:{(71,1),(78,1),(128,1),(135,1),(136,1),(234,1),(322,1),(395,1),(424,1)}
       102:{2,4,5}:{(72,1),(73,1),(137,1),(138,1),(426,1)}
       103:{2,3,4,6}:{(73,1),(75,1),(79,1),(130,1),(137,1),(139,1),(212,1),(305,1),(317,1),(327,1),(336,1),(426,1)}
       104:{1,4,6}:{(73,1),(74,1),(76,1),(138,1),(140,1),(148,1)}
       105:{2,5,6}:{(74,1),(77,1),(140,1),(146,1),(215,1),(223,1)}
       106:{1,3,4,7}:{(75,1),(76,1),(82,1),(133,1),(139,1),(142,1),(143,1),(151,1),(229,1),(239,1),(320,1)}
       107:{2,4,7}:{(76,1),(77,1),(140,1),(143,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(84,1),(135,1),(141,1),(143,1),(144,1),(145,1),(219,1),(231,1),(321,1),(538,1),(550,1),(551,1)}
       109:{2,4,6,7}:{(78,1),(85,1),(136,1),(144,1),(145,1),(232,1),(235,1),(480,1)}
       110:{1,3,6}:{(79,1),(80,1),(82,1),(146,1),(147,1),(424,1)}
       111:{2,4,6}:{(80,1),(81,1),(83,1),(146,1),(147,1),(148,1)}
       112:{3,5,6}:{(81,1),(84,1),(147,1),(148,1),(236,1)}
       113:{2,5,7}:{(82,1),(142,1),(146,1),(223,1)}
       114:{3,5,7}:{(83,1),(143,1),(147,1),(151,1),(224,1),(236,1)}
       115:{4,7}:{(84,1),(148,1)}
       116:{3,5,7}:{(85,1),(145,1),(152,1),(153,1),(236,1),(530,1)}
       117:{3,4,6}:{(86,1),(87,1),(154,1),(194,1),(282,1)}
       118:{2,5,6}:{(86,1),(88,1),(154,1),(155,1),(510,1)}
       119:{2,4,5,7}:{(87,1),(88,1),(92,1),(154,1),(156,1),(157,1),(160,1),(445,1),(510,1)}
       120:{1,5,7}:{(88,1),(89,1),(155,1),(158,1)}
       121:{2,4,6,7}:{(89,1),(94,1),(158,1),(159,1),(165,1),(244,1),(248,1)}
       122:{3,4,5}:{(90,1),(160,1),(190,1),(277,1),(516,1)}
       123:{2,4,6}:{(90,1),(91,1),(92,1),(160,1),(162,1)}
       124:{1,3,5,6}:{(91,1),(93,1),(97,1),(155,1),(162,1),(163,1),(170,1),(243,1),(245,1),(250,1),(253,1)}
       125:{2,3,4,7}:{(92,1),(98,1),(156,1),(161,1),(164,1),(184,1),(268,1),(360,1),(445,1)}
       126:{1,4,7}:{(92,1),(93,1),(162,1),(165,1),(248,1)}
       127:{2,5,7}:{(93,1),(94,1),(163,1),(165,1),(173,1)}
       128:{2,3,6,7}:{(94,1),(101,1),(159,1),(166,1),(167,1),(284,1),(345,1),(363,1),(375,1),(475,1),(479,1)}
       129:{2,4,5}:{(95,1),(96,1),(168,1),(169,1),(261,1),(368,1),(371,1)}
       130:{2,3,6}:{(96,1),(98,1),(168,1),(170,1),(180,1),(253,1)}
       131:{1,4,6}:{(96,1),(97,1),(99,1),(169,1),(170,1)}
       132:{1,2,5,6}:{(97,1),(100,1),(105,1),(163,1),(171,1),(172,1),(187,1),(263,1),(272,1),(344,1),(353,1),(371,1),(375,1),(466,1),(473,1),(520,1)}
       133:{1,3,7}:{(98,1),(99,1),(170,1),(173,1)}
       134:{1,2,4,7}:{(99,1),(100,1),(107,1),(165,1),(171,1),(173,1),(174,1),(175,1),(268,1),(526,1),(528,1),(547,1),(548,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(108,1),(166,1),(172,1),(174,1),(175,1),(176,1),(267,1),(374,1)}
       136:{1,4,6,7}:{(101,1),(109,1),(167,1),(175,1),(176,1),(270,1),(285,1),(441,1)}
       137:{2,3,5}:{(102,1),(103,1),(177,1),(358,1),(371,1),(389,1)}
       138:{1,4,5}:{(102,1),(104,1),(177,1),(178,1),(190,1),(378,1)}
       139:{1,3,4,6}:{(103,1),(104,1),(106,1),(110,1),(170,1),(177,1),(179,1),(180,1),(189,1),(260,1),(274,1),(275,1),(285,1),(370,1),(378,1)}
       140:{2,4,6}:{(104,1),(105,1),(107,1),(178,1),(180,1)}
       141:{2,3,5,6}:{(105,1),(108,1),(112,1),(172,1),(180,1),(181,1),(186,1),(188,1),(264,1),(273,1),(277,1),(282,1),(286,1),(371,1),(375,1),(440,1),(449,1),(510,1),(520,1),(543,1),(546,1)}
       142:{2,4,7}:{(106,1),(113,1),(173,1),(179,1),(183,1)}
       143:{3,7}:{(107,1),(180,1)}
       144:{2,4,7}:{(108,1),(115,1),(175,1),(181,1),(184,1),(552,1)}
       145:{2,5,7}:{(109,1),(116,1),(176,1),(186,1),(286,1),(510,1)}
       146:{2,6}:{(110,1),(113,1)}
       147:{3,6}:{(111,1),(114,1)}
       148:{4,6}:{(112,1),(115,1),(190,1)}
       149:{1,2,5,7}:{(113,1),(182,1),(187,1),(191,1),(272,1),(374,1),(385,1)}
       150:{2,3,5,7}:{(113,1),(114,1),(183,1),(188,1),(191,1),(192,1),(273,1),(286,1)}
       151:{3,4,7}:{(114,1),(115,1),(189,1),(192,1),(274,1)}
       152:{4,5,7}:{(115,1),(116,1),(190,1),(194,1),(542,1),(552,1)}
       153:{3,5,6}:{(116,1),(186,1),(194,1),(282,1)}
       154:{2,4,6}:{(117,1),(118,1),(119,1),(196,1),(197,1)}
       155:{1,5,6}:{(118,1),(120,1),(197,1),(198,1),(481,1)}
       156:{2,3,5,7}:{(119,1),(125,1),(196,1),(199,1),(203,1),(231,1),(321,1)}
       157:{1,4,5,7}:{(119,1),(120,1),(126,1),(197,1),(199,1),(200,1),(204,1),(400,1),(481,1)}
       158:{2,5,7}:{(120,1),(121,1),(198,1),(201,1)}
       159:{3,6,7}:{(121,1),(201,1),(209,1),(294,1)}
       160:{2,4,5}:{(122,1),(123,1),(203,1),(204,1),(488,1)}
       161:{2,3,4,6}:{(123,1),(125,1),(130,1),(196,1),(203,1),(205,1),(212,1),(227,1),(317,1),(407,1),(480,1),(488,1)}
       162:{1,4,6}:{(123,1),(124,1),(126,1),(204,1),(206,1),(295,1)}
       163:{2,5,6}:{(124,1),(127,1),(206,1),(215,1),(293,1),(301,1)}
       164:{1,3,4,7}:{(125,1),(126,1),(133,1),(199,1),(205,1),(208,1),(209,1),(298,1),(307,1),(320,1),(400,1)}
       165:{2,4,7}:{(126,1),(127,1),(206,1),(209,1)}
       166:{2,3,5,7}:{(127,1),(128,1),(135,1),(201,1),(207,1),(209,1),(210,1),(211,1),(219,1),(309,1),(321,1),(506,1),(508,1),(541,1)}
       167:{2,4,6,7}:{(128,1),(136,1),(202,1),(210,1),(211,1),(310,1),(336,1),(396,1)}
       168:{2,3,5}:{(129,1),(130,1),(212,1),(213,1),(224,1),(302,1)}
       169:{1,4,5}:{(129,1),(131,1),(213,1),(418,1),(421,1)}
       170:{1,3,6}:{(130,1),(131,1),(133,1),(213,1),(215,1)}
       171:{1,2,4,6}:{(131,1),(132,1),(134,1),(140,1),(206,1),(214,1),(215,1),(216,1),(217,1),(317,1),(500,1),(504,1),(536,1),(539,1)}
       172:{1,3,5,6}:{(132,1),(135,1),(141,1),(207,1),(216,1),(217,1),(222,1),(234,1),(316,1),(318,1),(322,1),(324,1),(337,1),(395,1),(404,1),(421,1),(424,1),(481,1)}
       173:{2,7}:{(133,1),(215,1)}
       174:{1,3,7}:{(134,1),(143,1),(209,1),(216,1),(219,1),(541,1),(551,1)}
       175:{1,4,7}:{(135,1),(144,1),(210,1),(217,1)}
       176:{1,5,7}:{(136,1),(145,1),(211,1),(222,1),(337,1),(481,1)}
       177:{1,3,5}:{(137,1),(138,1),(139,1),(223,1),(224,1),(236,1),(337,1),(421,1)}
       178:{2,4,5}:{(138,1),(140,1),(223,1),(224,1),(325,1)}
       179:{2,4,6}:{(139,1),(142,1),(146,1),(215,1),(223,1),(226,1),(312,1),(325,1)}
       180:{3,6}:{(140,1),(143,1),(224,1)}
       181:{2,4,6}:{(141,1),(144,1),(148,1),(217,1),(227,1),(228,1),(325,1),(488,1),(549,1)}
       182:{1,2,4,7}:{(142,1),(149,1),(218,1),(225,1),(229,1),(239,1),(320,1),(332,1)}
       183:{2,3,7}:{(142,1),(143,1),(226,1),(229,1)}
       184:{3,4,7}:{(143,1),(144,1),(227,1),(231,1),(551,1)}
       185:{2,4,5,7}:{(144,1),(145,1),(152,1),(221,1),(228,1),(231,1),(232,1),(321,1)}
       186:{2,5,6}:{(145,1),(153,1),(222,1),(232,1)}
       187:{1,2,6}:{(146,1),(149,1),(234,1),(424,1),(433,1)}
       188:{2,3,6}:{(146,1),(147,1),(150,1),(234,1),(235,1)}
       189:{3,4,6}:{(147,1),(148,1),(151,1),(235,1),(236,1)}
       190:{4,5}:{(148,1),(236,1)}
       191:{1,3,5,7}:{(149,1),(150,1),(229,1),(234,1),(238,1),(239,1),(324,1),(337,1)}
       192:{2,4,7}:{(150,1),(151,1),(235,1),(239,1),(325,1)}
       193:{3,4,5,7}:{(151,1),(152,1),(231,1),(236,1),(240,1),(241,1),(326,1),(339,1),(429,1)}
       194:{4,6}:{(152,1),(153,1)}
       195:{3,5,6,7}:{(153,1),(233,1),(242,1),(335,1),(339,1),(550,1)}
       196:{2,3,6}:{(154,1),(156,1),(243,1),(282,1),(375,1)}
       197:{1,4,6}:{(154,1),(155,1),(157,1),(243,1),(244,1)}
       198:{2,5,6}:{(155,1),(158,1),(244,1),(245,1),(442,1)}
       199:{1,3,5,7}:{(156,1),(157,1),(164,1),(243,1),(246,1),(247,1),(250,1),(374,1)}
       200:{2,4,5,7}:{(157,1),(158,1),(165,1),(244,1),(246,1),(247,1),(248,1),(251,1),(347,1),(349,1),(442,1)}
       201:{3,5,7}:{(158,1),(159,1),(245,1),(248,1)}
       202:{3,4,6,7}:{(159,1),(167,1),(248,1),(249,1),(257,1),(346,1),(351,1),(363,1),(388,1),(479,1),(529,1)}
       203:{2,3,5}:{(160,1),(161,1),(250,1),(277,1),(371,1),(510,1)}
       204:{1,4,5}:{(160,1),(162,1),(250,1),(251,1),(347,1),(450,1)}
       205:{1,3,4,6}:{(161,1),(162,1),(164,1),(170,1),(243,1),(250,1),(252,1),(253,1),(260,1),(346,1),(355,1),(356,1),(370,1),(441,1),(450,1)}
       206:{2,4,6}:{(162,1),(163,1),(165,1),(251,1),(253,1)}
       207:{2,3,5,6}:{(163,1),(166,1),(172,1),(245,1),(253,1),(254,1),(259,1),(264,1),(284,1),(345,1),(354,1),(358,1),(363,1),(371,1),(375,1),(377,1),(389,1),(442,1),(473,1),(477,1),(527,1)}
       208:{2,4,7}:{(164,1),(173,1),(246,1),(252,1),(256,1)}
       209:{3,7}:{(165,1),(253,1)}
       210:{2,4,7}:{(166,1),(175,1),(248,1),(254,1),(257,1),(529,1)}
       211:{2,5,7}:{(167,1),(176,1),(249,1),(259,1),(389,1),(442,1)}
       212:{2,3,4}:{(168,1),(260,1),(274,1),(355,1),(368,1),(460,1)}
       213:{1,3,5}:{(168,1),(169,1),(170,1),(260,1),(261,1)}
       214:{1,2,4,5}:{(169,1),(171,1),(178,1),(251,1),(261,1),(262,1),(266,1),(272,1),(353,1),(365,1),(368,1),(371,1),(378,1),(450,1),(463,1),(470,1),(517,1),(523,1)}
       215:{2,6}:{(170,1),(173,1),(261,1)}
       216:{1,3,6}:{(171,1),(174,1),(180,1),(253,1),(262,1),(264,1),(527,1),(546,1)}
       217:{1,4,6}:{(172,1),(175,1),(181,1),(254,1),(266,1),(378,1),(450,1)}
       218:{1,2,7}:{(173,1),(263,1),(267,1),(548,1)}
       219:{2,3,7}:{(173,1),(174,1),(264,1),(267,1),(268,1),(548,1)}
       220:{1,3,4,7}:{(174,1),(175,1),(184,1),(257,1),(265,1),(268,1),(269,1)}
       221:{1,4,5,7}:{(175,1),(176,1),(185,1),(258,1),(266,1),(269,1),(270,1),(374,1)}
       222:{1,5,6}:{(176,1),(186,1),(259,1),(270,1)}
       223:{2,5}:{(177,1),(179,1)}
       224:{3,5}:{(178,1),(180,1),(274,1)}
       225:{1,2,4,6}:{(179,1),(182,1),(187,1),(263,1),(272,1),(275,1),(285,1),(365,1),(370,1),(378,1),(381,1)}
       226:{2,3,6}:{(179,1),(180,1),(183,1),(273,1),(275,1),(366,1)}
       227:{3,4,6}:{(180,1),(181,1),(184,1),(274,1),(277,1),(282,1),(516,1),(546,1)}
       228:{2,4,5}:{(181,1),(190,1),(266,1),(277,1),(286,1),(371,1),(510,1),(542,1)}
       229:{1,3,7}:{(182,1),(183,1),(275,1),(279,1)}
       230:{2,3,4,7}:{(183,1),(184,1),(192,1),(268,1),(276,1),(280,1),(281,1),(472,1),(525,1)}
       231:{3,5,7}:{(184,1),(185,1),(277,1),(282,1)}
       232:{2,4,6}:{(185,1),(186,1),(194,1),(270,1),(282,1),(375,1)}
       233:{2,5,6,7}:{(186,1),(195,1),(271,1),(283,1),(391,1),(544,1)}
       234:{1,3,6}:{(187,1),(188,1),(191,1),(284,1),(285,1)}
       235:{2,4,6}:{(188,1),(189,1),(192,1),(285,1),(286,1)}
       236:{3,5}:{(189,1),(190,1),(286,1)}
       237:{4,5,6}:{(190,1),(194,1),(287,1),(288,1)}
       238:{2,3,5,7}:{(191,1),(279,1),(284,1),(289,1),(377,1),(385,1),(389,1),(392,1)}
       239:{1,4,7}:{(191,1),(192,1),(285,1),(289,1),(378,1)}
       240:{2,4,5,7}:{(192,1),(193,1),(281,1),(286,1),(290,1),(291,1),(379,1),(391,1),(472,1)}
       241:{3,4,6}:{(193,1),(194,1),(282,1),(287,1),(291,1)}
       242:{4,6,7}:{(194,1),(195,1),(288,1),(552,1)}
       243:{1,3,6}:{(196,1),(197,1),(199,1),(293,1),(294,1),(424,1)}
       244:{2,4,6}:{(197,1),(198,1),(200,1),(293,1),(294,1),(295,1)}
       245:{3,5,6}:{(198,1),(201,1),(294,1),(295,1),(397,1)}
       246:{2,5,7}:{(199,1),(208,1),(293,1),(301,1)}
       247:{3,5,7}:{(200,1),(209,1),(294,1),(298,1),(302,1),(397,1)}
       248:{4,7}:{(201,1),(295,1)}
       249:{3,5,7}:{(202,1),(211,1),(299,1),(300,1),(397,1),(435,1)}
       250:{1,3,5}:{(203,1),(204,1),(205,1),(301,1),(302,1),(397,1),(421,1),(481,1)}
       251:{2,4,5}:{(204,1),(206,1),(301,1),(302,1),(405,1)}
       252:{2,4,6}:{(205,1),(208,1),(215,1),(293,1),(301,1),(304,1),(312,1),(405,1)}
       253:{3,6}:{(206,1),(209,1),(302,1)}
       254:{2,4,6}:{(207,1),(210,1),(217,1),(295,1),(305,1),(306,1),(405,1),(426,1),(507,1)}
       255:{1,2,4,7}:{(208,1),(218,1),(296,1),(303,1),(307,1),(320,1),(400,1),(412,1)}
       256:{2,3,7}:{(208,1),(209,1),(304,1),(307,1)}
       257:{3,4,7}:{(209,1),(210,1),(305,1),(309,1),(541,1)}
       258:{2,4,5,7}:{(210,1),(211,1),(221,1),(299,1),(306,1),(309,1),(310,1),(321,1)}
       259:{2,5,6}:{(211,1),(222,1),(300,1),(310,1)}
       260:{1,3,4}:{(212,1),(213,1),(312,1),(416,1),(418,1)}
       261:{2,5}:{(213,1),(215,1),(312,1)}
       262:{1,3,5}:{(214,1),(216,1),(224,1),(302,1),(314,1),(315,1),(416,1),(503,1),(535,1)}
       263:{1,2,6}:{(215,1),(218,1),(313,1),(316,1),(539,1)}
       264:{2,3,6}:{(215,1),(216,1),(219,1),(314,1),(316,1),(317,1),(539,1)}
       265:{1,3,4,6}:{(216,1),(217,1),(220,1),(227,1),(305,1),(315,1),(317,1),(318,1),(322,1)}
       266:{1,4,5}:{(217,1),(228,1),(306,1),(318,1),(337,1),(421,1),(481,1)}
       267:{1,3,7}:{(218,1),(219,1),(316,1),(320,1)}
       268:{2,4,7}:{(219,1),(220,1),(317,1),(320,1),(321,1)}
       269:{1,3,5,7}:{(220,1),(221,1),(231,1),(309,1),(318,1),(321,1),(322,1)}
       270:{1,4,6}:{(221,1),(222,1),(232,1),(310,1),(322,1),(424,1)}
       271:{1,5,6,7}:{(222,1),(233,1),(311,1),(323,1),(437,1),(532,1)}
       272:{1,2,5}:{(223,1),(225,1),(324,1),(337,1),(421,1),(430,1)}
       273:{2,3,5}:{(223,1),(224,1),(226,1),(324,1),(325,1)}
       274:{3,4}:{(224,1),(325,1)}
       275:{1,3,6}:{(225,1),(226,1),(229,1),(324,1),(327,1),(416,1)}
       276:{2,3,4,6}:{(226,1),(227,1),(230,1),(235,1),(317,1),(325,1),(328,1),(329,1),(334,1),(417,1),(428,1),(499,1)}
       277:{3,5}:{(227,1),(228,1)}
       278:{2,4,5,6}:{(228,1),(232,1),(237,1),(319,1),(330,1),(331,1),(338,1),(422,1),(428,1),(531,1),(536,1),(549,1)}
       279:{2,3,7}:{(229,1),(327,1),(332,1),(541,1)}
       280:{1,3,4,7}:{(229,1),(230,1),(239,1),(320,1),(328,1),(332,1),(333,1),(340,1),(505,1),(540,1),(541,1)}
       281:{2,3,5,7}:{(230,1),(231,1),(240,1),(321,1),(329,1),(333,1),(334,1)}
       282:{3,6}:{(231,1),(232,1)}
       283:{2,4,6,7}:{(232,1),(233,1),(242,1),(323,1),(331,1),(335,1),(425,1)}
       284:{2,3,6}:{(234,1),(238,1),(336,1),(433,1),(438,1)}
       285:{1,4,6}:{(234,1),(235,1),(239,1),(336,1),(337,1)}
       286:{2,5}:{(235,1),(236,1),(337,1)}
       287:{3,5,6}:{(236,1),(237,1),(241,1),(338,1),(339,1)}
       288:{4,5,7}:{(237,1),(242,1),(339,1)}
       289:{2,4,7}:{(238,1),(239,1),(336,1),(340,1),(426,1)}
       290:{1,4,5,7}:{(239,1),(240,1),(333,1),(337,1),(341,1),(342,1),(427,1),(437,1),(505,1)}
       291:{2,4,6}:{(240,1),(241,1),(334,1),(338,1),(342,1)}
       292:{3,4,6,7}:{(241,1),(242,1),(335,1),(339,1),(343,1),(429,1)}
       293:{2,6}:{(243,1),(246,1)}
       294:{3,6}:{(244,1),(247,1)}
       295:{4,6}:{(245,1),(248,1),(347,1)}
       296:{1,2,5,7}:{(246,1),(255,1),(344,1),(348,1),(353,1),(374,1),(457,1)}
       297:{2,3,5,7}:{(246,1),(247,1),(256,1),(345,1),(348,1),(349,1),(354,1),(442,1)}
       298:{3,4,7}:{(247,1),(248,1),(346,1),(349,1),(355,1)}
       299:{4,5,7}:{(248,1),(249,1),(347,1),(351,1),(476,1),(529,1)}
       300:{3,5,6}:{(249,1),(259,1),(351,1),(363,1)}
       301:{2,5}:{(250,1),(252,1)}
       302:{3,5}:{(251,1),(253,1),(355,1)}
       303:{1,2,4,6}:{(252,1),(255,1),(263,1),(344,1),(353,1),(356,1),(365,1),(370,1),(441,1),(450,1),(453,1)}
       304:{2,3,6}:{(252,1),(253,1),(256,1),(354,1),(356,1),(366,1)}
       305:{3,4,6}:{(253,1),(254,1),(257,1),(355,1),(358,1),(363,1),(469,1),(527,1)}
       306:{2,4,5}:{(254,1),(266,1),(347,1),(358,1),(371,1),(389,1),(442,1),(476,1)}
       307:{1,3,7}:{(255,1),(256,1),(356,1),(360,1)}
       308:{2,3,4,7}:{(256,1),(257,1),(268,1),(349,1),(357,1),(361,1),(362,1),(519,1),(525,1)}
       309:{3,5,7}:{(257,1),(258,1),(358,1),(363,1)}
       310:{2,4,6}:{(258,1),(259,1),(270,1),(351,1),(363,1),(375,1)}
       311:{2,5,6,7}:{(259,1),(271,1),(352,1),(364,1),(478,1),(512,1)}
       312:{2,4}:{(260,1),(261,1),(366,1)}
       313:{1,2,5}:{(261,1),(263,1),(365,1),(367,1),(523,1)}
       314:{2,3,5}:{(261,1),(262,1),(264,1),(366,1),(367,1),(368,1),(371,1),(460,1),(523,1)}
       315:{1,3,4}:{(262,1),(274,1),(355,1),(368,1),(378,1),(450,1),(469,1),(516,1)}
       316:{1,3,6}:{(263,1),(264,1),(267,1),(367,1),(370,1)}
       317:{2,4,6}:{(264,1),(265,1),(268,1),(368,1),(370,1),(371,1),(375,1)}
       318:{1,3,5}:{(265,1),(266,1),(277,1),(358,1),(371,1)}
       319:{1,4,5,6}:{(266,1),(270,1),(278,1),(359,1),(372,1),(373,1),(390,1),(466,1),(471,1),(511,1),(518,1)}
       320:{1,4,7}:{(267,1),(268,1),(370,1),(374,1)}
       321:{2,5,7}:{(268,1),(269,1),(371,1),(374,1),(375,1)}
       322:{1,3,6}:{(269,1),(270,1),(282,1),(363,1),(375,1)}
       323:{1,4,6,7}:{(270,1),(271,1),(283,1),(364,1),(373,1),(376,1),(468,1)}
       324:{1,3,5}:{(272,1),(273,1),(275,1),(377,1),(378,1)}
       325:{2,4}:{(273,1),(274,1),(378,1)}
       326:{3,4,5}:{(274,1),(277,1),(379,1),(380,1),(542,1)}
       327:{2,3,6}:{(275,1),(279,1),(377,1),(381,1),(460,1),(527,1)}
       328:{1,3,4,6}:{(275,1),(276,1),(280,1),(285,1),(370,1),(378,1),(381,1),(382,1),(386,1),(388,1),(461,1),(469,1),(471,1),(524,1),(527,1)}
       329:{2,3,5}:{(276,1),(277,1),(286,1),(371,1),(379,1),(382,1)}
       330:{3,5,6}:{(277,1),(278,1),(282,1),(380,1),(384,1),(546,1)}
       331:{2,4,5,7}:{(278,1),(283,1),(288,1),(373,1),(384,1),(391,1),(467,1),(472,1),(544,1),(547,1),(552,1)}
       332:{2,4,7}:{(279,1),(280,1),(381,1),(385,1),(548,1)}
       333:{1,3,5,7}:{(280,1),(281,1),(290,1),(374,1),(382,1),(385,1),(386,1),(392,1)}
       334:{2,3,6}:{(281,1),(282,1),(291,1),(375,1),(386,1)}
       335:{3,6,7}:{(282,1),(283,1),(384,1)}
       336:{2,4,6}:{(284,1),(285,1),(289,1),(388,1),(389,1)}
       337:{1,5}:{(285,1),(286,1),(389,1)}
       338:{2,5,6}:{(286,1),(287,1),(291,1),(390,1),(391,1)}
       339:{3,5,7}:{(287,1),(288,1),(292,1),(391,1)}
       340:{3,4,7}:{(289,1),(388,1),(392,1),(469,1),(529,1)}
       341:{2,4,5,7}:{(289,1),(290,1),(385,1),(389,1),(392,1),(393,1),(470,1),(476,1),(478,1),(528,1),(529,1)}
       342:{1,4,6}:{(290,1),(291,1),(386,1),(390,1),(393,1)}
       343:{2,4,6,7}:{(291,1),(292,1),(387,1),(391,1),(394,1),(472,1)}
       344:{1,2,6}:{(293,1),(296,1),(395,1),(424,1),(495,1)}
       345:{2,3,6}:{(293,1),(294,1),(297,1),(395,1),(396,1)}
       346:{3,4,6}:{(294,1),(295,1),(298,1),(396,1),(397,1)}
       347:{4,5}:{(295,1),(397,1)}
       348:{1,3,5,7}:{(296,1),(297,1),(307,1),(395,1),(399,1),(400,1),(404,1),(481,1)}
       349:{2,4,7}:{(297,1),(298,1),(396,1),(400,1),(405,1)}
       350:{3,4,5,7}:{(298,1),(299,1),(309,1),(397,1),(401,1),(402,1),(406,1),(483,1),(491,1)}
       351:{4,6}:{(299,1),(300,1)}
       352:{3,5,6,7}:{(300,1),(311,1),(403,1),(415,1),(483,1),(508,1)}
       353:{1,2,5}:{(301,1),(303,1),(404,1),(421,1),(481,1),(492,1)}
       354:{2,3,5}:{(301,1),(302,1),(304,1),(404,1),(405,1)}
       355:{3,4}:{(302,1),(405,1)}
       356:{1,3,6}:{(303,1),(304,1),(307,1),(404,1),(407,1),(416,1)}
       357:{2,3,4,6}:{(304,1),(305,1),(308,1),(317,1),(396,1),(405,1),(408,1),(409,1),(414,1),(417,1),(490,1),(499,1)}
       358:{3,5}:{(305,1),(306,1)}
       359:{2,4,5,6}:{(306,1),(310,1),(319,1),(398,1),(410,1),(411,1),(422,1),(436,1),(482,1),(490,1),(504,1),(507,1)}
       360:{2,3,7}:{(307,1),(407,1),(412,1),(551,1)}
       361:{1,3,4,7}:{(307,1),(308,1),(320,1),(400,1),(408,1),(412,1),(413,1),(484,1),(537,1),(540,1),(551,1)}
       362:{2,3,5,7}:{(308,1),(309,1),(321,1),(401,1),(409,1),(413,1),(414,1)}
       363:{3,6}:{(309,1),(310,1)}
       364:{2,4,6,7}:{(310,1),(311,1),(323,1),(403,1),(411,1),(415,1),(425,1)}
       365:{1,2,4}:{(312,1),(313,1),(416,1),(418,1),(497,1)}
       366:{2,3}:{(312,1),(416,1)}
       367:{1,3,5}:{(313,1),(314,1),(316,1),(416,1),(418,1),(421,1)}
       368:{2,4}:{(314,1),(315,1),(418,1)}
       369:{1,3,4,5}:{(315,1),(318,1),(326,1),(406,1),(419,1),(420,1),(427,1),(489,1),(498,1),(503,1),(535,1)}
       370:{1,4,6}:{(316,1),(317,1),(320,1),(418,1),(421,1),(424,1)}
       371:{2,5}:{(317,1),(318,1),(421,1)}
       372:{1,3,5,6}:{(318,1),(319,1),(322,1),(330,1),(410,1),(420,1),(422,1),(423,1)}
       373:{1,4,5,7}:{(319,1),(323,1),(331,1),(411,1),(423,1),(437,1),(502,1),(505,1),(532,1),(537,1)}
       374:{1,5,7}:{(320,1),(321,1),(421,1),(424,1)}
       375:{2,6}:{(321,1),(322,1),(424,1)}
       376:{1,3,6,7}:{(322,1),(323,1),(335,1),(415,1),(423,1),(425,1)}
       377:{2,3,5}:{(324,1),(327,1),(426,1),(430,1),(503,1)}
       378:{1,4}:{(324,1),(325,1),(426,1)}
       379:{2,4,5}:{(325,1),(326,1),(329,1),(427,1),(428,1)}
       380:{3,4,6}:{(326,1),(330,1),(428,1),(429,1),(549,1)}
       381:{2,4,6}:{(327,1),(328,1),(332,1),(426,1),(430,1),(433,1),(497,1),(539,1)}
       382:{1,3,5}:{(328,1),(329,1),(337,1),(421,1),(427,1),(430,1),(435,1),(503,1)}
       383:{2,3,5,6}:{(329,1),(330,1),(334,1),(338,1),(422,1),(428,1),(431,1),(432,1),(499,1)}
       384:{3,5,7}:{(330,1),(331,1),(335,1),(429,1),(551,1)}
       385:{2,5,7}:{(332,1),(333,1),(430,1),(433,1)}
       386:{1,3,6}:{(333,1),(334,1),(342,1),(424,1),(433,1),(438,1)}
       387:{2,3,6,7}:{(334,1),(335,1),(343,1),(425,1),(432,1),(434,1)}
       388:{3,4,6}:{(336,1),(340,1),(435,1),(438,1),(507,1)}
       389:{2,5}:{(336,1),(337,1),(435,1)}
       390:{1,5,6}:{(337,1),(338,1),(342,1),(436,1),(437,1)}
       391:{2,5,7}:{(338,1),(339,1),(343,1),(437,1)}
       392:{3,5,7}:{(340,1),(341,1),(435,1),(438,1),(503,1),(541,1)}
       393:{2,4,6}:{(341,1),(342,1),(433,1),(436,1),(438,1),(507,1)}
       394:{1,4,6,7}:{(342,1),(343,1),(434,1),(437,1),(439,1),(505,1)}
       395:{1,3,6}:{(344,1),(345,1),(348,1),(440,1),(441,1)}
       396:{2,4,6}:{(345,1),(346,1),(349,1),(441,1),(442,1)}
       397:{3,5}:{(346,1),(347,1),(442,1)}
       398:{4,5,6}:{(347,1),(351,1),(443,1),(444,1)}
       399:{2,3,5,7}:{(348,1),(360,1),(440,1),(445,1),(449,1),(457,1),(510,1),(513,1)}
       400:{1,4,7}:{(348,1),(349,1),(441,1),(445,1),(450,1)}
       401:{2,4,5,7}:{(349,1),(350,1),(362,1),(442,1),(446,1),(447,1),(451,1),(512,1),(519,1)}
       402:{3,4,6}:{(350,1),(351,1),(363,1),(443,1),(447,1)}
       403:{4,6,7}:{(351,1),(352,1),(444,1),(529,1)}
       404:{1,3,5}:{(353,1),(354,1),(356,1),(449,1),(450,1)}
       405:{2,4}:{(354,1),(355,1),(450,1)}
       406:{3,4,5}:{(355,1),(358,1),(451,1),(452,1),(476,1)}
       407:{2,3,6}:{(356,1),(360,1),(449,1),(453,1),(460,1),(546,1)}
       408:{1,3,4,6}:{(356,1),(357,1),(361,1),(370,1),(441,1),(450,1),(453,1),(454,1),(458,1),(461,1),(509,1),(516,1),(518,1),(524,1),(546,1)}
       409:{2,3,5}:{(357,1),(358,1),(371,1),(442,1),(451,1),(454,1)}
       410:{3,5,6}:{(358,1),(359,1),(363,1),(452,1),(456,1),(527,1)}
       411:{2,4,5,7}:{(359,1),(364,1),(373,1),(444,1),(456,1),(467,1),(478,1),(512,1),(519,1),(528,1),(529,1)}
       412:{2,4,7}:{(360,1),(361,1),(453,1),(457,1),(548,1)}
       413:{1,3,5,7}:{(361,1),(362,1),(374,1),(446,1),(454,1),(457,1),(458,1),(513,1)}
       414:{2,3,6}:{(362,1),(363,1),(375,1),(447,1),(458,1)}
       415:{3,6,7}:{(363,1),(364,1),(456,1)}
       416:{1,3}:{(365,1),(366,1),(460,1)}
       417:{2,3,4}:{(366,1),(368,1),(461,1),(462,1),(469,1),(516,1)}
       418:{1,4}:{(367,1),(368,1)}
       419:{2,4,5}:{(368,1),(369,1),(371,1),(462,1),(463,1),(464,1),(523,1)}
       420:{1,3,4,6}:{(369,1),(372,1),(380,1),(452,1),(464,1),(465,1),(471,1),(518,1),(524,1),(527,1),(546,1)}
       421:{1,5}:{(370,1),(371,1)}
       422:{2,5,6}:{(371,1),(372,1),(375,1),(464,1),(466,1),(467,1)}
       423:{1,3,5,7}:{(372,1),(373,1),(376,1),(384,1),(456,1),(465,1),(467,1)}
       424:{1,6}:{(374,1),(375,1)}
       425:{2,6,7}:{(375,1),(376,1),(467,1),(468,1)}
       426:{2,4}:{(377,1),(378,1),(469,1)}
       427:{1,4,5}:{(378,1),(379,1),(382,1),(470,1),(471,1),(476,1)}
       428:{2,4,6}:{(379,1),(380,1),(383,1),(471,1),(472,1)}
       429:{3,4,7}:{(380,1),(384,1),(472,1),(552,1)}
       430:{2,5}:{(381,1),(382,1)}
       431:{1,3,5,6}:{(382,1),(383,1),(386,1),(390,1),(466,1),(471,1),(473,1),(474,1),(477,1),(524,1),(527,1)}
       432:{2,3,5,7}:{(383,1),(384,1),(387,1),(391,1),(467,1),(472,1),(474,1),(525,1)}
       433:{2,6}:{(385,1),(386,1)}
       434:{1,3,6,7}:{(386,1),(387,1),(394,1),(468,1),(474,1),(475,1),(479,1)}
       435:{3,5}:{(388,1),(389,1),(476,1)}
       436:{2,5,6}:{(389,1),(390,1),(393,1),(477,1),(478,1)}
       437:{1,5,7}:{(390,1),(391,1),(394,1),(478,1)}
       438:{3,6}:{(392,1),(393,1)}
       439:{2,4,6,7}:{(393,1),(394,1),(475,1),(478,1),(479,1),(528,1),(529,1)}
       440:{2,3,6}:{(395,1),(399,1),(480,1),(495,1),(533,1)}
       441:{1,4,6}:{(395,1),(396,1),(400,1),(480,1),(481,1)}
       442:{2,5}:{(396,1),(397,1),(481,1)}
       443:{3,5,6}:{(397,1),(398,1),(402,1),(482,1),(483,1)}
       444:{4,5,7}:{(398,1),(403,1),(483,1)}
       445:{2,4,7}:{(399,1),(400,1),(480,1),(484,1),(488,1)}
       446:{1,4,5,7}:{(400,1),(401,1),(413,1),(481,1),(485,1),(486,1),(489,1),(532,1),(537,1)}
       447:{2,4,6}:{(401,1),(402,1),(414,1),(482,1),(486,1)}
       448:{3,4,6,7}:{(402,1),(403,1),(415,1),(483,1),(487,1),(491,1)}
       449:{2,3,5}:{(404,1),(407,1),(488,1),(492,1),(535,1)}
       450:{1,4}:{(404,1),(405,1),(488,1)}
       451:{2,4,5}:{(405,1),(406,1),(409,1),(489,1),(490,1)}
       452:{3,4,6}:{(406,1),(410,1),(490,1),(491,1),(507,1)}
       453:{2,4,6}:{(407,1),(408,1),(412,1),(488,1),(492,1),(495,1),(497,1),(539,1)}
       454:{1,3,5}:{(408,1),(409,1),(421,1),(481,1),(489,1),(492,1),(530,1),(535,1)}
       455:{2,3,5,6}:{(409,1),(410,1),(414,1),(422,1),(482,1),(490,1),(493,1),(494,1),(499,1)}
       456:{3,5,7}:{(410,1),(411,1),(415,1),(491,1),(541,1)}
       457:{2,5,7}:{(412,1),(413,1),(492,1),(495,1)}
       458:{1,3,6}:{(413,1),(414,1),(424,1),(486,1),(495,1),(533,1)}
       459:{2,3,6,7}:{(414,1),(415,1),(425,1),(487,1),(494,1),(496,1)}
       460:{2,3}:{(416,1),(497,1)}
       461:{1,3,4}:{(416,1),(417,1),(418,1),(497,1),(498,1)}
       462:{2,3,5}:{(417,1),(419,1),(498,1),(499,1),(503,1),(535,1)}
       463:{1,4,5}:{(418,1),(419,1),(421,1),(498,1),(500,1)}
       464:{2,4,6}:{(419,1),(420,1),(422,1),(499,1),(500,1),(501,1),(539,1)}
       465:{1,3,4,7}:{(420,1),(423,1),(429,1),(491,1),(501,1),(505,1),(537,1),(540,1),(541,1),(551,1)}
       466:{1,5,6}:{(421,1),(422,1),(424,1),(500,1),(502,1)}
       467:{2,5,7}:{(422,1),(423,1),(425,1),(501,1),(502,1)}
       468:{1,6,7}:{(424,1),(425,1),(502,1)}
       469:{3,4}:{(426,1),(503,1)}
       470:{2,4,5}:{(426,1),(427,1),(430,1),(503,1),(504,1)}
       471:{1,4,6}:{(427,1),(428,1),(431,1),(504,1),(505,1),(507,1)}
       472:{2,4,7}:{(428,1),(429,1),(432,1),(505,1)}
       473:{2,5,6}:{(430,1),(431,1),(433,1),(504,1),(506,1),(539,1)}
       474:{1,3,5,7}:{(431,1),(432,1),(434,1),(437,1),(502,1),(505,1),(506,1),(508,1),(540,1),(541,1)}
       475:{2,6,7}:{(433,1),(434,1),(506,1)}
       476:{4,5}:{(435,1),(507,1)}
       477:{3,5,6}:{(435,1),(436,1),(438,1),(507,1),(508,1)}
       478:{2,5,7}:{(436,1),(437,1),(439,1),(508,1)}
       479:{3,6,7}:{(438,1),(439,1),(508,1),(541,1)}
       480:{2,4,6}:{(440,1),(441,1),(445,1),(509,1),(510,1)}
       481:{1,5}:{(441,1),(442,1),(510,1)}
       482:{2,5,6}:{(442,1),(443,1),(447,1),(511,1),(512,1)}
       483:{3,5,7}:{(443,1),(444,1),(448,1),(512,1)}
       484:{3,4,7}:{(445,1),(509,1),(513,1),(516,1),(552,1)}
       485:{2,4,5,7}:{(445,1),(446,1),(457,1),(510,1),(513,1),(514,1),(517,1),(542,1),(544,1),(547,1),(552,1)}
       486:{1,4,6}:{(446,1),(447,1),(458,1),(511,1),(514,1)}
       487:{2,4,6,7}:{(447,1),(448,1),(459,1),(512,1),(515,1),(519,1)}
       488:{2,4}:{(449,1),(450,1),(516,1)}
       489:{1,4,5}:{(450,1),(451,1),(454,1),(517,1),(518,1),(542,1)}
       490:{2,4,6}:{(451,1),(452,1),(455,1),(518,1),(519,1)}
       491:{3,4,7}:{(452,1),(456,1),(519,1),(529,1)}
       492:{2,5}:{(453,1),(454,1)}
       493:{1,3,5,6}:{(454,1),(455,1),(458,1),(466,1),(511,1),(518,1),(520,1),(521,1),(524,1),(543,1),(546,1)}
       494:{2,3,5,7}:{(455,1),(456,1),(459,1),(467,1),(512,1),(519,1),(521,1),(525,1)}
       495:{2,6}:{(457,1),(458,1)}
       496:{1,3,6,7}:{(458,1),(459,1),(468,1),(515,1),(521,1),(522,1),(545,1)}
       497:{2,4}:{(460,1),(461,1),(523,1)}
       498:{1,3,5}:{(461,1),(462,1),(463,1),(523,1),(524,1)}
       499:{2,3,6}:{(462,1),(464,1),(524,1),(525,1),(527,1),(546,1)}
       500:{1,4,6}:{(463,1),(464,1),(466,1),(524,1),(526,1)}
       501:{2,4,7}:{(464,1),(465,1),(467,1),(525,1),(526,1),(548,1)}
       502:{1,5,7}:{(466,1),(467,1),(468,1),(526,1)}
       503:{3,5}:{(469,1),(470,1),(527,1)}
       504:{2,4,6}:{(470,1),(471,1),(473,1),(527,1),(528,1)}
       505:{1,4,7}:{(471,1),(472,1),(474,1),(528,1),(529,1)}
       506:{2,5,7}:{(473,1),(474,1),(475,1),(528,1),(548,1)}
       507:{4,6}:{(476,1),(477,1),(529,1)}
       508:{3,5,7}:{(477,1),(478,1),(479,1),(529,1)}
       509:{3,4,6}:{(480,1),(484,1),(530,1),(533,1),(549,1)}
       510:{2,5}:{(480,1),(481,1),(530,1)}
       511:{1,5,6}:{(481,1),(482,1),(486,1),(531,1),(532,1)}
       512:{2,5,7}:{(482,1),(483,1),(487,1),(532,1)}
       513:{3,5,7}:{(484,1),(485,1),(530,1),(533,1),(535,1),(551,1)}
       514:{2,4,6}:{(485,1),(486,1),(495,1),(531,1),(533,1),(549,1)}
       515:{1,4,6,7}:{(486,1),(487,1),(496,1),(532,1),(534,1),(537,1)}
       516:{3,4}:{(488,1),(535,1)}
       517:{2,4,5}:{(488,1),(489,1),(492,1),(535,1),(536,1)}
       518:{1,4,6}:{(489,1),(490,1),(493,1),(536,1),(537,1),(549,1)}
       519:{2,4,7}:{(490,1),(491,1),(494,1),(537,1)}
       520:{2,5,6}:{(492,1),(493,1),(495,1),(536,1),(538,1),(539,1)}
       521:{1,3,5,7}:{(493,1),(494,1),(496,1),(502,1),(532,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       522:{2,6,7}:{(495,1),(496,1),(538,1)}
       523:{2,5}:{(497,1),(498,1),(539,1)}
       524:{1,3,6}:{(498,1),(499,1),(500,1),(539,1),(540,1)}
       525:{2,3,7}:{(499,1),(501,1),(540,1),(541,1),(551,1)}
       526:{1,4,7}:{(500,1),(501,1),(502,1),(540,1)}
       527:{3,6}:{(503,1),(504,1),(541,1)}
       528:{2,4,7}:{(504,1),(505,1),(506,1),(541,1)}
       529:{4,7}:{(507,1),(508,1)}
       530:{3,5}:{(509,1),(510,1),(542,1)}
       531:{2,5,6}:{(510,1),(511,1),(514,1),(543,1),(544,1)}
       532:{1,5,7}:{(511,1),(512,1),(515,1),(544,1)}
       533:{3,6}:{(513,1),(514,1)}
       534:{2,4,6,7}:{(514,1),(515,1),(522,1),(544,1),(545,1),(547,1),(552,1)}
       535:{3,5}:{(516,1),(517,1),(546,1)}
       536:{2,4,6}:{(517,1),(518,1),(520,1),(546,1),(547,1)}
       537:{1,4,7}:{(518,1),(519,1),(521,1),(547,1),(552,1)}
       538:{2,5,7}:{(520,1),(521,1),(522,1),(547,1),(548,1)}
       539:{2,6}:{(523,1),(524,1),(548,1)}
       540:{1,3,7}:{(524,1),(525,1),(526,1),(548,1)}
       541:{3,7}:{(527,1),(528,1)}
       542:{4,5}:{(530,1),(549,1)}
       543:{3,5,6}:{(530,1),(531,1),(533,1),(549,1),(550,1)}
       544:{2,5,7}:{(531,1),(532,1),(534,1),(550,1)}
       545:{3,6,7}:{(533,1),(534,1),(550,1),(551,1)}
       546:{3,6}:{(535,1),(536,1),(551,1)}
       547:{2,4,7}:{(536,1),(537,1),(538,1),(551,1)}
       548:{2,7}:{(539,1),(540,1)}
       549:{4,6}:{(542,1),(543,1),(552,1)}
       550:{3,5,7}:{(543,1),(544,1),(545,1),(552,1)}
       551:{3,7}:{(546,1),(547,1)}
       552:{4,7}:{(549,1),(550,1)}

 273 :   0:{4,5,6}:{(2,1),(3,1),(131,1),(148,1)}
         1:{5,6,7}:{(5,1),(151,1)}
         2:{4,5,7}:{(0,1),(5,1),(6,1)}
         3:{3,5,6}:{(0,1),(4,1),(6,1),(7,1),(119,1),(143,1)}
         4:{3,4,6}:{(3,1),(8,1),(9,1),(10,1)}
         5:{4,6,7}:{(1,1),(2,1),(11,1),(148,1)}
         6:{3,5,7}:{(2,1),(3,1),(9,1),(11,1),(12,1)}
         7:{2,5,6}:{(3,1),(10,1),(12,1),(13,1),(104,1),(134,1)}
         8:{3,4,5}:{(4,1),(14,1),(114,1),(119,1)}
         9:{3,4,7}:{(4,1),(6,1),(16,1)}
        10:{2,4,6}:{(4,1),(7,1),(14,1),(15,1),(16,1),(17,1)}
        11:{3,6,7}:{(5,1),(6,1),(18,1),(143,1)}
        12:{2,5,7}:{(6,1),(7,1),(16,1),(18,1),(19,1)}
        13:{1,5,6}:{(7,1),(17,1),(19,1),(20,1),(88,1),(122,1)}
        14:{2,4,5}:{(8,1),(10,1),(21,1),(22,1),(98,1),(104,1)}
        15:{2,3,6}:{(10,1),(21,1),(23,1),(24,1)}
        16:{2,4,7}:{(9,1),(10,1),(12,1),(23,1),(25,1)}
        17:{1,4,6}:{(10,1),(13,1),(22,1),(24,1),(25,1),(26,1)}
        18:{2,6,7}:{(11,1),(12,1),(27,1),(134,1)}
        19:{1,5,7}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
        20:{2,5,6}:{(13,1),(26,1),(28,1),(29,1),(73,1),(107,1)}
        21:{2,3,5}:{(14,1),(15,1),(30,1),(31,1)}
        22:{1,4,5}:{(14,1),(17,1),(31,1),(32,1),(82,1),(88,1)}
        23:{2,3,7}:{(15,1),(16,1),(33,1)}
        24:{1,3,6}:{(15,1),(17,1),(31,1),(33,1),(34,1),(36,1)}
        25:{1,4,7}:{(16,1),(17,1),(19,1),(33,1),(35,1)}
        26:{2,4,6}:{(17,1),(20,1),(32,1),(34,1),(35,1),(36,1),(39,1)}
        27:{1,6,7}:{(18,1),(19,1),(37,1),(122,1)}
        28:{2,5,7}:{(19,1),(20,1),(35,1),(37,1),(38,1)}
        29:{3,5,6}:{(20,1),(36,1),(38,1),(39,1),(60,1),(91,1),(93,1)}
        30:{2,3,4}:{(21,1),(40,1),(95,1),(98,1)}
        31:{1,3,5}:{(21,1),(22,1),(24,1),(40,1),(41,1),(42,1)}
        32:{2,4,5}:{(22,1),(26,1),(41,1),(42,1),(50,1),(67,1),(73,1)}
        33:{1,3,7}:{(23,1),(24,1),(25,1),(44,1),(46,1)}
        34:{2,6}:{(24,1),(41,1),(44,1)}
        35:{2,4,7}:{(25,1),(26,1),(28,1),(44,1),(46,1),(49,1)}
        36:{3,6}:{(26,1),(42,1),(46,1)}
        37:{2,6,7}:{(27,1),(28,1),(48,1),(107,1)}
        38:{3,5,7}:{(28,1),(29,1),(46,1),(48,1),(49,1),(76,1)}
        39:{4,6}:{(29,1),(49,1),(50,1)}
        40:{1,3,4}:{(30,1),(31,1),(51,1),(54,1),(79,1),(82,1)}
        41:{2,5}:{(31,1),(34,1),(51,1)}
        42:{3,5}:{(32,1),(36,1),(54,1)}
        43:{1,2,6}:{(34,1),(52,1),(55,1),(56,1),(137,1)}
        44:{2,7}:{(33,1),(34,1)}
        45:{2,3,6}:{(34,1),(36,1),(53,1),(56,1),(57,1),(58,1)}
        46:{3,7}:{(35,1),(36,1)}
        47:{3,4,6}:{(36,1),(39,1),(54,1),(58,1),(59,1),(60,1),(91,1)}
        48:{3,6,7}:{(37,1),(38,1),(61,1),(91,1)}
        49:{4,7}:{(38,1),(39,1)}
        50:{4,5}:{(39,1),(60,1)}
        51:{2,4}:{(40,1),(41,1),(65,1)}
        52:{1,2,5}:{(41,1),(43,1),(64,1),(66,1),(125,1)}
        53:{2,3,5}:{(41,1),(42,1),(45,1),(65,1),(66,1),(67,1),(73,1)}
        54:{3,4}:{(42,1),(67,1)}
        55:{1,2,7}:{(43,1),(44,1),(70,1),(146,1)}
        56:{1,3,6}:{(43,1),(45,1),(66,1),(69,1),(70,1),(71,1)}
        57:{2,3,7}:{(44,1),(45,1),(46,1),(70,1),(72,1)}
        58:{2,4,6}:{(45,1),(47,1),(67,1),(71,1),(72,1),(73,1),(107,1)}
        59:{3,4,7}:{(46,1),(47,1),(49,1),(72,1),(74,1)}
        60:{3,5}:{(47,1),(50,1),(73,1)}
        61:{4,6,7}:{(48,1),(49,1),(76,1),(77,1)}
        62:{4,5,7}:{(49,1),(50,1),(74,1),(76,1),(77,1)}
        63:{4,5,6}:{(50,1),(75,1),(77,1),(78,1)}
        64:{1,2,4}:{(51,1),(52,1),(79,1),(82,1),(111,1)}
        65:{2,3}:{(51,1),(79,1)}
        66:{1,3,5}:{(52,1),(53,1),(56,1),(79,1),(81,1),(82,1),(88,1)}
        67:{2,4}:{(53,1),(54,1),(82,1)}
        68:{3,4,5}:{(54,1),(60,1),(83,1),(84,1)}
        69:{2,3,6}:{(56,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        70:{1,3,7}:{(55,1),(56,1),(57,1),(85,1),(87,1)}
        71:{1,4,6}:{(56,1),(58,1),(82,1),(86,1),(87,1),(88,1),(122,1)}
        72:{2,4,7}:{(57,1),(58,1),(59,1),(87,1),(89,1)}
        73:{2,5}:{(58,1),(60,1),(88,1)}
        74:{3,5,7}:{(59,1),(60,1),(62,1),(89,1),(91,1)}
        75:{3,5,6}:{(60,1),(63,1),(84,1),(90,1),(91,1),(92,1)}
        76:{5,7}:{(61,1),(93,1)}
        77:{4,6}:{(62,1),(91,1),(93,1)}
        78:{4,5,7}:{(63,1),(92,1),(94,1)}
        79:{1,3}:{(64,1),(65,1),(95,1)}
        80:{2,3,4}:{(65,1),(67,1),(96,1),(97,1)}
        81:{2,3,5}:{(66,1),(69,1),(95,1),(98,1),(104,1),(125,1),(128,1)}
        82:{1,4}:{(66,1),(67,1),(98,1)}
        83:{2,4,5}:{(67,1),(68,1),(73,1),(97,1),(99,1),(100,1)}
        84:{3,4,6}:{(68,1),(75,1),(100,1),(101,1)}
        85:{2,3,7}:{(69,1),(70,1),(103,1),(146,1),(147,1)}
        86:{2,4,6}:{(69,1),(71,1),(98,1),(102,1),(103,1),(104,1),(134,1)}
        87:{1,4,7}:{(70,1),(71,1),(72,1),(103,1),(105,1)}
        88:{1,5}:{(71,1),(73,1),(104,1)}
        89:{2,5,7}:{(72,1),(73,1),(74,1),(105,1),(107,1)}
        90:{2,5,6}:{(73,1),(75,1),(100,1),(106,1),(107,1),(108,1)}
        91:{3,6}:{(74,1),(77,1),(107,1)}
        92:{3,5,7}:{(75,1),(78,1),(101,1),(108,1),(109,1)}
        93:{5,6}:{(76,1),(77,1)}
        94:{4,6,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{2,3}:{(79,1),(111,1)}
        96:{1,3,4}:{(79,1),(80,1),(82,1),(111,1),(112,1),(114,1)}
        97:{2,3,5}:{(80,1),(83,1),(112,1),(113,1)}
        98:{2,4}:{(81,1),(82,1),(114,1)}
        99:{1,4,5}:{(82,1),(83,1),(88,1),(112,1),(115,1),(116,1)}
       100:{2,4,6}:{(83,1),(84,1),(90,1),(113,1),(116,1),(117,1)}
       101:{3,4,7}:{(84,1),(92,1),(117,1)}
       102:{3,4,6}:{(86,1),(114,1),(118,1),(119,1),(139,1),(142,1),(143,1)}
       103:{2,4,7}:{(85,1),(86,1),(87,1),(118,1),(120,1)}
       104:{2,5}:{(86,1),(88,1),(119,1)}
       105:{1,5,7}:{(87,1),(88,1),(89,1),(120,1),(122,1)}
       106:{1,5,6}:{(88,1),(90,1),(116,1),(121,1),(122,1),(123,1)}
       107:{2,6}:{(89,1),(91,1),(122,1)}
       108:{2,5,7}:{(90,1),(92,1),(117,1),(123,1),(124,1)}
       109:{3,6,7}:{(91,1),(92,1),(94,1),(124,1)}
       110:{5,6,7}:{(93,1),(94,1)}
       111:{2,4}:{(95,1),(96,1),(125,1)}
       112:{1,3,5}:{(96,1),(97,1),(99,1),(125,1),(126,1),(128,1)}
       113:{2,3,6}:{(97,1),(100,1),(126,1),(127,1)}
       114:{3,4}:{(98,1),(128,1)}
       115:{2,4,5}:{(98,1),(99,1),(104,1),(125,1),(128,1),(129,1),(131,1)}
       116:{1,4,6}:{(99,1),(100,1),(106,1),(126,1),(129,1),(130,1)}
       117:{2,4,7}:{(100,1),(101,1),(108,1),(127,1),(130,1)}
       118:{3,4,7}:{(102,1),(103,1),(132,1),(147,1),(149,1)}
       119:{3,5}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(104,1),(105,1),(132,1),(134,1)}
       121:{2,5,6}:{(104,1),(106,1),(129,1),(133,1),(134,1),(135,1)}
       122:{1,6}:{(105,1),(107,1),(134,1)}
       123:{1,5,7}:{(106,1),(108,1),(130,1),(135,1),(136,1)}
       124:{2,6,7}:{(107,1),(108,1),(109,1),(136,1)}
       125:{2,5}:{(111,1),(112,1),(137,1)}
       126:{1,3,6}:{(112,1),(113,1),(116,1),(137,1),(138,1),(139,1)}
       127:{2,3,7}:{(113,1),(117,1),(138,1)}
       128:{3,5}:{(114,1),(115,1),(139,1)}
       129:{2,4,6}:{(115,1),(116,1),(121,1),(137,1),(139,1),(140,1),(142,1)}
       130:{1,4,7}:{(116,1),(117,1),(123,1),(138,1),(140,1)}
       131:{4,5}:{(119,1),(142,1)}
       132:{3,5,7}:{(118,1),(119,1),(120,1),(141,1),(143,1)}
       133:{3,5,6}:{(119,1),(121,1),(139,1),(142,1),(143,1),(144,1),(151,1)}
       134:{2,6}:{(120,1),(122,1),(143,1)}
       135:{2,5,7}:{(121,1),(123,1),(140,1),(144,1),(145,1)}
       136:{1,6,7}:{(122,1),(123,1),(124,1),(145,1)}
       137:{2,6}:{(125,1),(126,1),(146,1)}
       138:{1,3,7}:{(126,1),(127,1),(130,1),(146,1),(147,1)}
       139:{3,6}:{(128,1),(129,1),(147,1)}
       140:{2,4,7}:{(129,1),(130,1),(135,1),(146,1),(147,1),(149,1)}
       141:{4,5,7}:{(131,1),(132,1),(148,1),(149,1),(153,1)}
       142:{4,6}:{(131,1),(133,1),(149,1)}
       143:{3,6}:{(132,1),(134,1),(148,1)}
       144:{3,5,7}:{(133,1),(135,1),(147,1),(149,1),(150,1),(153,1)}
       145:{2,6,7}:{(134,1),(135,1),(136,1),(150,1)}
       146:{2,7}:{(137,1),(138,1)}
       147:{3,7}:{(139,1),(140,1)}
       148:{4,6}:{(141,1),(143,1),(151,1)}
       149:{4,7}:{(142,1),(144,1)}
       150:{3,6,7}:{(143,1),(144,1),(145,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 274 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(134,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(6,1)}
         4:{3,6,7}:{(1,1),(6,1),(7,1),(142,1)}
         5:{3,5,6}:{(2,1),(6,1),(8,1),(9,1),(122,1),(142,1)}
         6:{3,5,7}:{(3,1),(4,1),(5,1),(11,1),(12,1)}
         7:{2,6,7}:{(4,1),(12,1),(13,1),(132,1)}
         8:{3,4,6}:{(5,1),(10,1),(11,1),(14,1)}
         9:{2,5,6}:{(5,1),(12,1),(14,1),(15,1),(108,1),(132,1)}
        10:{3,4,5}:{(8,1),(16,1),(114,1),(122,1)}
        11:{3,4,7}:{(6,1),(8,1),(17,1)}
        12:{2,5,7}:{(6,1),(7,1),(9,1),(17,1),(18,1)}
        13:{1,6,7}:{(7,1),(18,1),(19,1),(120,1)}
        14:{2,4,6}:{(8,1),(9,1),(16,1),(17,1),(20,1),(21,1)}
        15:{1,5,6}:{(9,1),(18,1),(21,1),(22,1),(93,1),(120,1)}
        16:{2,4,5}:{(10,1),(14,1),(23,1),(24,1),(99,1),(108,1)}
        17:{2,4,7}:{(11,1),(12,1),(14,1),(25,1),(26,1)}
        18:{1,5,7}:{(12,1),(13,1),(15,1),(26,1),(27,1)}
        19:{2,6,7}:{(13,1),(27,1),(28,1),(105,1)}
        20:{2,3,6}:{(14,1),(23,1),(25,1),(29,1)}
        21:{1,4,6}:{(14,1),(15,1),(24,1),(26,1),(29,1),(30,1)}
        22:{2,5,6}:{(15,1),(27,1),(30,1),(31,1),(78,1),(105,1)}
        23:{2,3,5}:{(16,1),(20,1),(32,1),(33,1)}
        24:{1,4,5}:{(16,1),(21,1),(33,1),(34,1),(84,1),(93,1)}
        25:{2,3,7}:{(17,1),(20,1),(35,1)}
        26:{1,4,7}:{(17,1),(18,1),(21,1),(35,1),(36,1)}
        27:{2,5,7}:{(18,1),(19,1),(22,1),(36,1),(37,1)}
        28:{3,6,7}:{(19,1),(37,1),(38,1),(90,1)}
        29:{1,3,6}:{(20,1),(21,1),(33,1),(35,1),(39,1),(40,1)}
        30:{2,4,6}:{(21,1),(22,1),(34,1),(36,1),(39,1),(40,1),(41,1)}
        31:{3,5,6}:{(22,1),(37,1),(40,1),(41,1),(61,1),(64,1),(90,1)}
        32:{2,3,4}:{(23,1),(42,1),(96,1),(99,1)}
        33:{1,3,5}:{(23,1),(24,1),(29,1),(42,1),(43,1),(44,1)}
        34:{2,4,5}:{(24,1),(30,1),(43,1),(44,1),(52,1),(69,1),(78,1)}
        35:{1,3,7}:{(25,1),(26,1),(29,1),(45,1),(46,1)}
        36:{2,4,7}:{(26,1),(27,1),(30,1),(45,1),(46,1),(47,1)}
        37:{3,5,7}:{(27,1),(28,1),(31,1),(46,1),(47,1),(48,1)}
        38:{4,6,7}:{(28,1),(47,1),(48,1),(74,1)}
        39:{2,6}:{(29,1),(43,1),(45,1)}
        40:{3,6}:{(30,1),(44,1),(46,1)}
        41:{4,6}:{(31,1),(47,1),(52,1)}
        42:{1,3,4}:{(32,1),(33,1),(53,1),(56,1),(81,1),(84,1)}
        43:{2,5}:{(33,1),(39,1),(53,1)}
        44:{3,5}:{(34,1),(40,1),(56,1)}
        45:{2,7}:{(35,1),(39,1)}
        46:{3,7}:{(36,1),(40,1)}
        47:{4,7}:{(37,1),(41,1)}
        48:{5,7}:{(38,1),(61,1)}
        49:{1,2,6}:{(39,1),(54,1),(57,1),(62,1),(137,1)}
        50:{2,3,6}:{(39,1),(40,1),(55,1),(58,1),(62,1),(63,1)}
        51:{3,4,6}:{(40,1),(41,1),(56,1),(59,1),(63,1),(64,1),(90,1)}
        52:{4,5}:{(41,1),(64,1)}
        53:{2,4}:{(42,1),(43,1),(67,1)}
        54:{1,2,5}:{(43,1),(49,1),(66,1),(68,1),(125,1)}
        55:{2,3,5}:{(43,1),(44,1),(50,1),(67,1),(68,1),(69,1),(78,1)}
        56:{3,4}:{(44,1),(69,1)}
        57:{1,2,7}:{(45,1),(49,1),(71,1),(146,1)}
        58:{2,3,7}:{(45,1),(46,1),(50,1),(71,1),(72,1)}
        59:{3,4,7}:{(46,1),(47,1),(51,1),(72,1),(73,1)}
        60:{4,5,7}:{(47,1),(48,1),(52,1),(73,1),(74,1)}
        61:{5,6}:{(48,1),(74,1)}
        62:{1,3,6}:{(49,1),(50,1),(68,1),(71,1),(76,1),(77,1)}
        63:{2,4,6}:{(50,1),(51,1),(69,1),(72,1),(77,1),(78,1),(105,1)}
        64:{3,5}:{(51,1),(52,1),(78,1)}
        65:{4,5,6}:{(52,1),(74,1),(79,1),(80,1)}
        66:{1,2,4}:{(53,1),(54,1),(81,1),(84,1),(111,1)}
        67:{2,3}:{(53,1),(81,1)}
        68:{1,3,5}:{(54,1),(55,1),(62,1),(81,1),(83,1),(84,1),(93,1)}
        69:{2,4}:{(55,1),(56,1),(84,1)}
        70:{3,4,5}:{(56,1),(64,1),(85,1),(86,1)}
        71:{1,3,7}:{(57,1),(58,1),(62,1),(87,1),(88,1)}
        72:{2,4,7}:{(58,1),(59,1),(63,1),(88,1),(89,1)}
        73:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1)}
        74:{4,6}:{(60,1),(61,1),(90,1)}
        75:{5,6,7}:{(61,1),(91,1)}
        76:{2,3,6}:{(62,1),(83,1),(87,1),(92,1),(137,1),(139,1)}
        77:{1,4,6}:{(62,1),(63,1),(84,1),(88,1),(92,1),(93,1),(120,1)}
        78:{2,5}:{(63,1),(64,1),(93,1)}
        79:{3,5,6}:{(64,1),(65,1),(86,1),(90,1),(94,1),(95,1)}
        80:{4,5,7}:{(65,1),(91,1),(95,1)}
        81:{1,3}:{(66,1),(67,1),(96,1)}
        82:{2,3,4}:{(67,1),(69,1),(97,1),(98,1)}
        83:{2,3,5}:{(68,1),(76,1),(96,1),(99,1),(108,1),(125,1),(128,1)}
        84:{1,4}:{(68,1),(69,1),(99,1)}
        85:{2,4,5}:{(69,1),(70,1),(78,1),(98,1),(100,1),(101,1)}
        86:{3,4,6}:{(70,1),(79,1),(101,1),(102,1)}
        87:{2,3,7}:{(71,1),(76,1),(103,1),(146,1),(147,1)}
        88:{1,4,7}:{(71,1),(72,1),(77,1),(103,1),(104,1)}
        89:{2,5,7}:{(72,1),(73,1),(78,1),(104,1),(105,1)}
        90:{3,6}:{(73,1),(74,1),(105,1)}
        91:{4,6,7}:{(74,1),(75,1),(80,1),(106,1)}
        92:{2,4,6}:{(76,1),(77,1),(99,1),(103,1),(107,1),(108,1),(132,1)}
        93:{1,5}:{(77,1),(78,1),(108,1)}
        94:{2,5,6}:{(78,1),(79,1),(101,1),(105,1),(109,1),(110,1)}
        95:{3,5,7}:{(79,1),(80,1),(102,1),(106,1),(110,1)}
        96:{2,3}:{(81,1),(111,1)}
        97:{1,3,4}:{(81,1),(82,1),(84,1),(111,1),(112,1),(114,1)}
        98:{2,3,5}:{(82,1),(85,1),(112,1),(113,1)}
        99:{2,4}:{(83,1),(84,1),(114,1)}
       100:{1,4,5}:{(84,1),(85,1),(93,1),(112,1),(115,1),(116,1)}
       101:{2,4,6}:{(85,1),(86,1),(94,1),(113,1),(116,1),(117,1)}
       102:{3,4,7}:{(86,1),(95,1),(117,1)}
       103:{2,4,7}:{(87,1),(88,1),(92,1),(118,1),(119,1)}
       104:{1,5,7}:{(88,1),(89,1),(93,1),(119,1),(120,1)}
       105:{2,6}:{(89,1),(90,1),(120,1)}
       106:{3,6,7}:{(90,1),(91,1),(95,1),(121,1)}
       107:{3,4,6}:{(92,1),(114,1),(118,1),(122,1),(139,1),(142,1),(144,1)}
       108:{2,5}:{(92,1),(93,1),(122,1)}
       109:{1,5,6}:{(93,1),(94,1),(116,1),(120,1),(123,1),(124,1)}
       110:{2,5,7}:{(94,1),(95,1),(117,1),(121,1),(124,1)}
       111:{2,4}:{(96,1),(97,1),(125,1)}
       112:{1,3,5}:{(97,1),(98,1),(100,1),(125,1),(126,1),(128,1)}
       113:{2,3,6}:{(98,1),(101,1),(126,1),(127,1)}
       114:{3,4}:{(99,1),(128,1)}
       115:{2,4,5}:{(99,1),(100,1),(108,1),(125,1),(128,1),(129,1),(134,1)}
       116:{1,4,6}:{(100,1),(101,1),(109,1),(126,1),(129,1),(130,1)}
       117:{2,4,7}:{(101,1),(102,1),(110,1),(127,1),(130,1)}
       118:{3,4,7}:{(103,1),(107,1),(131,1),(147,1),(150,1)}
       119:{2,5,7}:{(103,1),(104,1),(108,1),(131,1),(132,1)}
       120:{1,6}:{(104,1),(105,1),(132,1)}
       121:{2,6,7}:{(105,1),(106,1),(110,1),(133,1)}
       122:{3,5}:{(107,1),(108,1),(134,1)}
       123:{2,5,6}:{(108,1),(109,1),(129,1),(132,1),(135,1),(136,1)}
       124:{1,5,7}:{(109,1),(110,1),(130,1),(133,1),(136,1)}
       125:{2,5}:{(111,1),(112,1),(137,1)}
       126:{1,3,6}:{(112,1),(113,1),(116,1),(137,1),(138,1),(139,1)}
       127:{2,3,7}:{(113,1),(117,1),(138,1)}
       128:{3,5}:{(114,1),(115,1),(139,1)}
       129:{2,4,6}:{(115,1),(116,1),(123,1),(137,1),(139,1),(140,1),(144,1)}
       130:{1,4,7}:{(116,1),(117,1),(124,1),(138,1),(140,1)}
       131:{3,5,7}:{(118,1),(119,1),(122,1),(141,1),(142,1)}
       132:{2,6}:{(119,1),(120,1),(142,1)}
       133:{1,6,7}:{(120,1),(121,1),(124,1),(143,1)}
       134:{4,5}:{(122,1),(144,1)}
       135:{3,5,6}:{(122,1),(123,1),(139,1),(142,1),(144,1),(145,1),(151,1)}
       136:{2,5,7}:{(123,1),(124,1),(140,1),(143,1),(145,1)}
       137:{2,6}:{(125,1),(126,1),(146,1)}
       138:{1,3,7}:{(126,1),(127,1),(130,1),(146,1),(147,1)}
       139:{3,6}:{(128,1),(129,1),(147,1)}
       140:{2,4,7}:{(129,1),(130,1),(136,1),(146,1),(147,1),(150,1)}
       141:{4,5,7}:{(131,1),(134,1),(148,1),(150,1),(153,1)}
       142:{3,6}:{(131,1),(132,1),(148,1)}
       143:{2,6,7}:{(132,1),(133,1),(136,1),(149,1)}
       144:{4,6}:{(134,1),(135,1),(150,1)}
       145:{3,5,7}:{(135,1),(136,1),(147,1),(149,1),(150,1),(153,1)}
       146:{2,7}:{(137,1),(138,1)}
       147:{3,7}:{(139,1),(140,1)}
       148:{4,6}:{(141,1),(142,1),(151,1)}
       149:{3,6,7}:{(142,1),(143,1),(145,1),(152,1)}
       150:{4,7}:{(144,1),(145,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 275 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(30,1),(39,1),(41,1),(47,1),(73,1),(85,1),(95,1),(157,1),(159,1),(213,1),(223,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(120,1),(132,1),(191,1),(194,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(51,1),(105,1),(131,1),(179,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(223,1),(225,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(73,1),(86,1),(158,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(214,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(79,1),(141,1),(213,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(80,1),(94,1),(142,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(54,1),(66,1),(110,1),(124,1),(125,1),(132,1),(180,1),(182,1),(184,1),(194,1),(244,1),(249,1),(288,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(105,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(244,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(191,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(114,1),(178,1),(259,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(39,1),(73,1),(81,1),(89,1),(139,1),(145,1),(159,1),(210,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(31,1),(33,1),(74,1),(97,1),(144,1),(146,1),(166,1),(214,1),(273,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(102,1),(139,1),(145,1),(169,1),(225,1),(269,1),(270,1),(298,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(73,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(141,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(142,1),(158,1),(165,1),(166,1),(168,1),(214,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(132,1),(194,1),(199,1),(244,1),(288,1),(307,1)}
        30:{1,4,5,7}:{(16,1),(19,1),(48,1),(51,1),(62,1),(114,1),(124,1),(171,1),(180,1),(235,1)}
        31:{2,4,6}:{(16,1),(17,1),(49,1),(51,1),(53,1),(105,1)}
        32:{1,3,4,6,7}:{(17,1),(52,1),(54,1),(106,1),(119,1),(180,1),(182,1),(190,1),(244,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(53,1),(54,1),(55,1),(118,1),(184,1)}
        34:{1,3,4,7}:{(18,1),(19,1),(48,1),(56,1),(57,1),(59,1),(120,1),(171,1),(180,1),(203,1),(244,1),(289,1),(309,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(175,1),(193,1),(243,1),(245,1),(254,1),(284,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(56,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(105,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(178,1),(199,1),(201,1),(244,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(193,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(34,1),(73,1),(74,1),(88,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(31,1),(74,1),(166,1),(214,1),(230,1),(302,1),(312,1)}
        50:{1,2,4,5,7}:{(30,1),(36,1),(73,1),(77,1),(78,1),(91,1),(139,1),(150,1),(159,1),(161,1),(210,1),(213,1),(218,1),(219,1),(267,1),(313,1)}
        51:{1,4,6}:{(30,1),(31,1),(74,1),(80,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(75,1),(79,1),(81,1),(141,1),(145,1),(213,1)}
        53:{2,5,6}:{(31,1),(33,1),(39,1),(80,1),(81,1),(210,1)}
        54:{1,3,5,7}:{(32,1),(33,1),(81,1),(84,1),(155,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(82,1),(84,1),(97,1),(144,1),(218,1),(222,1),(273,1)}
        56:{2,4,7}:{(34,1),(73,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(37,1),(74,1),(87,1),(88,1),(90,1),(144,1),(156,1),(161,1),(170,1),(204,1),(214,1),(223,1),(225,1),(271,1),(277,1),(299,1)}
        58:{2,3,5}:{(35,1),(39,1),(88,1),(89,1),(96,1),(165,1),(210,1),(268,1),(297,1)}
        59:{1,3,7}:{(36,1),(86,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(87,1),(90,1),(91,1),(161,1),(299,1),(301,1),(304,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(141,1),(230,1),(274,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(142,1),(165,1),(222,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(214,1),(225,1)}
        73:{2,5,7}:{(48,1),(56,1),(105,1),(123,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(105,1),(258,1),(314,1)}
        75:{2,3,6,7}:{(49,1),(52,1),(106,1),(108,1),(190,1),(244,1),(250,1)}
        76:{2,3,5,6}:{(49,1),(53,1),(58,1),(107,1),(108,1),(109,1),(118,1),(189,1),(245,1)}
        77:{1,3,5,7}:{(50,1),(59,1),(104,1),(110,1),(111,1),(126,1),(184,1),(194,1),(244,1),(288,1)}
        78:{1,2,4,6}:{(50,1),(51,1),(105,1),(111,1),(113,1),(175,1),(179,1),(186,1),(287,1),(314,1)}
        79:{1,4,6,7}:{(51,1),(52,1),(106,1),(114,1),(180,1)}
        80:{1,5,6}:{(51,1),(53,1),(62,1),(114,1),(235,1)}
        81:{2,5,7}:{(52,1),(53,1),(54,1),(114,1)}
        82:{2,4,5,6}:{(53,1),(55,1),(64,1),(109,1),(115,1),(117,1),(118,1),(131,1),(179,1),(189,1),(241,1),(287,1)}
        83:{1,3,5,6,7}:{(54,1),(65,1),(116,1),(119,1),(190,1),(248,1)}
        84:{1,4,5,7}:{(54,1),(55,1),(117,1),(119,1),(180,1),(251,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(171,1),(203,1),(259,1)}
        86:{2,3,7}:{(56,1),(59,1),(120,1),(122,1),(244,1)}
        87:{2,4,6}:{(56,1),(57,1),(105,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(62,1),(123,1),(124,1),(194,1),(200,1),(235,1),(308,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{1,3,6}:{(59,1),(60,1),(122,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(123,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(178,1),(199,1),(251,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(179,1),(247,1),(290,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(244,1)}
       103:{1,2,5,7}:{(73,1),(85,1),(137,1),(138,1),(157,1),(231,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(86,1),(137,1),(139,1),(140,1),(158,1),(210,1)}
       105:{2,6}:{(73,1),(74,1)}
       106:{1,3,6,7}:{(74,1),(75,1),(79,1),(141,1),(143,1),(274,1)}
       107:{1,3,5,6}:{(74,1),(76,1),(80,1),(88,1),(142,1),(143,1),(144,1),(214,1),(222,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(76,1),(81,1),(143,1),(145,1),(155,1),(221,1),(270,1)}
       109:{2,4,6}:{(76,1),(89,1),(144,1),(145,1),(146,1)}
       110:{1,3,4,7}:{(77,1),(139,1),(147,1),(161,1),(219,1),(225,1),(269,1)}
       111:{1,3,6}:{(77,1),(78,1),(140,1),(214,1),(302,1)}
       112:{1,2,4,6,7}:{(78,1),(79,1),(141,1),(148,1),(150,1),(209,1),(213,1),(219,1)}
       113:{1,2,5,6}:{(78,1),(80,1),(91,1),(142,1),(149,1),(150,1),(210,1),(266,1),(301,1)}
       114:{1,5,7}:{(79,1),(80,1),(81,1)}
       115:{1,4,5,6}:{(80,1),(82,1),(93,1),(144,1),(152,1),(153,1),(163,1),(261,1),(295,1)}
       116:{2,5,6,7}:{(81,1),(83,1),(94,1),(151,1),(154,1),(266,1)}
       117:{2,4,5,7}:{(81,1),(82,1),(84,1),(145,1),(152,1),(154,1),(155,1),(213,1),(221,1)}
       118:{3,5,6}:{(82,1),(96,1),(146,1),(155,1),(166,1),(214,1),(268,1),(302,1)}
       119:{1,4,6,7}:{(83,1),(84,1),(97,1),(154,1),(273,1),(274,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(204,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(90,1),(156,1),(158,1),(214,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(144,1),(159,1),(161,1),(223,1)}
       125:{3,4,5}:{(89,1),(96,1),(146,1),(225,1),(268,1)}
       126:{1,3,5}:{(90,1),(91,1),(158,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(159,1),(161,1),(162,1),(165,1),(227,1),(228,1),(278,1),(304,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(213,1),(272,1),(303,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(214,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(120,1),(171,1),(172,1),(191,1),(235,1)}
       138:{1,2,6}:{(103,1),(105,1),(172,1),(258,1)}
       139:{2,4,7}:{(104,1),(110,1),(171,1),(175,1),(193,1)}
       140:{2,3,6}:{(104,1),(105,1),(111,1),(172,1),(175,1)}
       141:{2,6,7}:{(105,1),(106,1),(178,1)}
       142:{2,5,6}:{(105,1),(107,1),(123,1),(178,1),(179,1),(290,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(108,1),(114,1),(178,1),(180,1),(244,1),(251,1),(289,1)}
       144:{1,4,6}:{(107,1),(109,1),(124,1),(179,1),(180,1)}
       145:{2,4,7}:{(108,1),(109,1),(180,1),(182,1)}
       146:{3,4,6}:{(109,1),(118,1),(125,1),(182,1)}
       147:{1,3,4,6}:{(110,1),(111,1),(175,1),(184,1),(186,1),(243,1)}
       148:{1,3,6,7}:{(111,1),(112,1),(176,1),(185,1),(244,1),(314,1)}
       149:{1,3,5,6}:{(111,1),(113,1),(126,1),(177,1),(184,1),(185,1),(186,1),(286,1),(308,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(114,1),(178,1),(185,1),(240,1),(310,1)}
       151:{1,5,6,7}:{(114,1),(116,1),(128,1),(187,1),(280,1)}
       152:{1,4,5,7}:{(114,1),(115,1),(117,1),(180,1),(187,1),(188,1)}
       153:{1,3,5,6}:{(115,1),(118,1),(130,1),(181,1),(188,1),(189,1),(198,1),(282,1),(306,1)}
       154:{2,4,6,7}:{(116,1),(117,1),(119,1),(131,1),(187,1),(190,1),(250,1),(287,1)}
       155:{3,5,7}:{(117,1),(118,1),(182,1),(190,1),(244,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(235,1)}
       158:{2,3,5}:{(122,1),(123,1),(126,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(179,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(130,1),(181,1),(194,1),(195,1),(196,1),(252,1),(255,1),(282,1)}
       161:{1,4}:{(126,1),(193,1)}
       162:{1,3,5}:{(127,1),(134,1),(194,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(244,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(290,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(139,1),(204,1),(223,1)}
       172:{1,3,6}:{(137,1),(138,1),(140,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(141,1),(205,1),(207,1),(274,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(142,1),(157,1),(206,1),(207,1),(208,1),(222,1),(297,1),(312,1)}
       175:{2,4,6}:{(139,1),(140,1),(147,1),(204,1),(210,1)}
       176:{2,3,6,7}:{(140,1),(141,1),(148,1),(205,1),(209,1),(211,1),(302,1),(312,1)}
       177:{2,3,5,6}:{(140,1),(142,1),(149,1),(158,1),(206,1),(210,1),(211,1),(212,1),(214,1),(265,1),(266,1),(268,1),(297,1),(302,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(143,1),(213,1),(303,1)}
       179:{2,4,6}:{(142,1),(144,1),(159,1),(213,1),(214,1)}
       180:{1,4,7}:{(143,1),(144,1),(145,1),(213,1)}
       181:{1,3,4,6}:{(144,1),(146,1),(153,1),(160,1),(214,1),(215,1),(216,1),(271,1)}
       182:{3,4,7}:{(145,1),(146,1),(155,1)}
       183:{1,3,4,6,7}:{(147,1),(148,1),(209,1),(217,1),(219,1),(269,1),(273,1),(302,1)}
       184:{1,3,5}:{(147,1),(210,1),(218,1),(268,1)}
       185:{1,3,5,7}:{(148,1),(149,1),(150,1),(211,1),(219,1),(300,1),(313,1)}
       186:{1,4,6}:{(149,1),(161,1),(212,1),(218,1),(219,1)}
       187:{1,4,6,7}:{(151,1),(152,1),(154,1),(163,1),(220,1),(295,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(155,1),(215,1),(220,1),(221,1)}
       189:{2,5,6}:{(153,1),(165,1),(216,1),(221,1),(222,1),(230,1),(297,1),(312,1)}
       190:{3,6,7}:{(154,1),(155,1),(166,1),(302,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(261,1),(275,1),(278,1),(279,1),(297,1)}
       193:{2,4}:{(158,1),(161,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(214,1),(225,1)}
       195:{2,4,5}:{(160,1),(165,1),(216,1),(226,1),(227,1),(228,1),(275,1),(278,1),(297,1)}
       196:{1,3,4}:{(161,1),(162,1),(225,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(278,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(175,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(176,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(177,1),(191,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(178,1),(236,1),(238,1),(251,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(179,1),(192,1),(237,1),(238,1),(239,1),(247,1),(284,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(176,1),(183,1),(234,1),(240,1),(242,1),(287,1)}
       210:{2,5}:{(175,1),(184,1),(235,1)}
       211:{2,3,5,7}:{(176,1),(177,1),(178,1),(185,1),(236,1),(240,1),(242,1),(244,1),(285,1),(288,1),(307,1)}
       212:{2,4,6}:{(177,1),(186,1),(193,1),(237,1),(241,1),(242,1),(243,1)}
       213:{2,4,7}:{(178,1),(179,1),(180,1),(244,1)}
       214:{3,6}:{(179,1),(194,1),(244,1)}
       215:{1,3,4,7}:{(180,1),(181,1),(182,1),(188,1),(244,1),(246,1),(289,1)}
       216:{2,4,6}:{(181,1),(189,1),(195,1),(245,1),(246,1),(247,1),(290,1)}
       217:{1,3,5,7}:{(183,1),(184,1),(240,1),(248,1),(249,1),(288,1)}
       218:{1,4,5}:{(184,1),(186,1),(241,1),(308,1)}
       219:{1,4,7}:{(185,1),(186,1),(242,1)}
       220:{1,3,6,7}:{(187,1),(188,1),(190,1),(198,1),(250,1),(306,1)}
       221:{2,5,7}:{(188,1),(189,1),(246,1),(250,1),(251,1)}
       222:{1,5,6}:{(189,1),(200,1),(247,1),(251,1),(258,1),(308,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(245,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(256,1),(291,1),(308,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(209,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(210,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(211,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(212,1),(223,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(213,1),(262,1),(264,1),(272,1),(298,1),(303,1)}
       239:{1,3,6}:{(208,1),(214,1),(224,1),(264,1),(265,1)}
       240:{2,5,7}:{(209,1),(210,1),(217,1),(260,1),(266,1)}
       241:{2,4,5}:{(210,1),(212,1),(218,1),(261,1),(268,1),(297,1)}
       242:{2,4,7}:{(211,1),(212,1),(219,1),(262,1),(269,1)}
       243:{3,4,6}:{(212,1),(214,1),(225,1),(268,1),(269,1),(302,1)}
       244:{3,7}:{(213,1),(214,1)}
       245:{2,3,6}:{(214,1),(216,1),(226,1),(270,1),(271,1)}
       246:{2,4,7}:{(215,1),(216,1),(221,1),(270,1),(272,1),(303,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(271,1),(272,1)}
       248:{1,3,5,6}:{(217,1),(266,1),(273,1),(302,1)}
       249:{1,4,5,7}:{(217,1),(218,1),(219,1),(267,1),(273,1),(313,1)}
       250:{2,6,7}:{(220,1),(221,1),(230,1),(274,1),(312,1)}
       251:{1,5,7}:{(221,1),(222,1),(272,1),(274,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(297,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(228,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(271,1),(277,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(278,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(235,1),(240,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(241,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(242,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(243,1),(252,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(244,1),(285,1)}
       265:{2,3,6}:{(239,1),(253,1),(284,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(248,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(242,1),(249,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,5}:{(241,1),(243,1)}
       269:{3,4,7}:{(242,1),(243,1),(244,1),(288,1)}
       270:{2,3,7}:{(244,1),(245,1),(246,1),(289,1)}
       271:{1,3,6}:{(245,1),(247,1),(255,1),(289,1),(290,1)}
       272:{1,4,7}:{(246,1),(247,1),(251,1),(289,1)}
       273:{1,4,6}:{(248,1),(249,1),(287,1),(314,1)}
       274:{1,6,7}:{(250,1),(251,1),(258,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(308,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(256,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(267,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(268,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(269,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(275,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(303,1)}
       286:{1,3,6}:{(265,1),(276,1),(299,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(273,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(269,1),(302,1)}
       289:{1,3,7}:{(270,1),(271,1),(272,1),(303,1)}
       290:{2,6}:{(271,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(288,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(291,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(310,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(303,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 276 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(65,1),(120,1),(150,1),(210,1),(224,1),(228,1),(318,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(18,1),(22,1),(52,1),(65,1),(119,1),(137,1),(228,1),(233,1),(316,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(37,1),(105,1),(106,1),(175,1),(178,1),(275,1),(277,1),(352,1),(401,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1),(39,1),(82,1),(164,1),(254,1)}
         4:{1,2,5,7}:{(0,1),(8,1),(11,1),(12,1),(104,1),(168,1),(259,1),(272,1)}
         5:{1,3,5}:{(1,1),(9,1),(10,1),(13,1),(184,1),(279,1)}
         6:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(23,1),(59,1),(65,1),(128,1),(131,1),(142,1),(143,1),(150,1),(210,1),(230,1),(237,1),(298,1),(324,1),(382,1),(383,1)}
         7:{1,4,6}:{(2,1),(16,1),(18,1),(20,1),(316,1)}
         8:{1,3,5,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(24,1),(70,1),(225,1),(229,1)}
         9:{1,3,4}:{(5,1),(22,1),(316,1),(319,1)}
        10:{1,3,6}:{(3,1),(5,1),(23,1),(24,1),(298,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(24,1),(69,1),(125,1),(215,1),(299,1)}
        12:{1,2,6,7}:{(4,1),(21,1),(150,1),(219,1),(305,1),(318,1)}
        13:{2,3,5}:{(5,1),(22,1),(23,1),(25,1),(65,1),(119,1),(147,1)}
        14:{1,3,4,5}:{(9,1),(27,1),(28,1),(37,1),(78,1),(94,1),(172,1),(185,1),(267,1),(279,1)}
        15:{1,3,5,6}:{(6,1),(29,1),(30,1),(31,1),(43,1),(86,1),(89,1),(103,1),(180,1),(181,1),(195,1),(197,1),(288,1),(357,1)}
        16:{2,4,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(34,1),(284,1),(403,1)}
        17:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1),(44,1),(96,1),(101,1),(104,1),(176,1),(179,1),(259,1),(336,1),(395,1)}
        18:{1,4,5}:{(7,1),(32,1),(37,1),(178,1),(401,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(10,1),(33,1),(37,1),(39,1),(40,1),(105,1)}
        20:{1,4,7}:{(7,1),(8,1),(34,1)}
        21:{1,3,6,7}:{(8,1),(12,1),(35,1),(41,1),(105,1),(277,1),(352,1)}
        22:{2,4}:{(9,1),(13,1),(42,1)}
        23:{2,3,6}:{(10,1),(13,1),(39,1),(43,1),(44,1),(164,1)}
        24:{1,3,7}:{(10,1),(11,1),(44,1),(336,1)}
        25:{1,3,5}:{(13,1),(42,1),(43,1),(45,1),(103,1),(109,1)}
        26:{1,4,5,6}:{(18,1),(46,1),(48,1),(49,1),(67,1),(201,1),(207,1),(308,1),(322,1),(374,1)}
        27:{1,3,4,6}:{(14,1),(48,1),(50,1),(51,1),(113,1),(117,1),(207,1),(298,1)}
        28:{2,4,5}:{(14,1),(22,1),(47,1),(50,1),(52,1),(65,1),(119,1),(216,1),(306,1)}
        29:{1,2,5,6}:{(15,1),(53,1),(54,1),(72,1),(131,1),(148,1),(201,1),(210,1),(230,1),(244,1)}
        30:{1,4,6}:{(15,1),(16,1),(55,1),(57,1),(242,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(54,1),(57,1),(58,1),(73,1),(129,1),(136,1),(149,1)}
        32:{2,4,5}:{(16,1),(18,1),(55,1),(59,1),(65,1),(131,1),(383,1),(415,1)}
        33:{3,4,6}:{(16,1),(59,1),(62,1),(142,1),(298,1),(319,1)}
        34:{2,4,7}:{(16,1),(17,1),(20,1),(57,1),(62,1),(413,1)}
        35:{2,3,6,7}:{(17,1),(21,1),(58,1),(63,1),(142,1),(150,1),(230,1),(305,1),(324,1),(369,1)}
        36:{2,3,4}:{(22,1),(47,1),(64,1),(147,1),(216,1),(319,1)}
        37:{1,3,5}:{(18,1),(19,1),(59,1),(65,1)}
        38:{1,4,5,7}:{(18,1),(20,1),(60,1),(66,1),(67,1),(70,1),(229,1)}
        39:{2,4,6}:{(19,1),(22,1),(23,1),(65,1),(68,1),(69,1),(150,1)}
        40:{1,3,4,7}:{(19,1),(20,1),(24,1),(62,1),(66,1),(69,1)}
        41:{1,4,6,7}:{(20,1),(21,1),(63,1),(67,1),(70,1),(380,1)}
        42:{1,4}:{(22,1),(25,1)}
        43:{1,3,6}:{(23,1),(25,1),(68,1),(72,1),(73,1)}
        44:{2,3,7}:{(23,1),(24,1),(69,1),(73,1),(215,1)}
        45:{1,2,5}:{(25,1),(71,1),(72,1),(119,1)}
        46:{2,4,5,6}:{(26,1),(32,1),(74,1),(75,1),(76,1),(79,1),(97,1),(154,1),(158,1),(254,1),(282,1),(283,1),(339,1),(355,1),(396,1),(403,1)}
        47:{2,3,5}:{(28,1),(36,1),(77,1),(78,1),(279,1)}
        48:{1,3,5,6}:{(26,1),(27,1),(37,1),(75,1),(79,1),(80,1),(105,1),(267,1),(345,1)}
        49:{1,4,5,7}:{(26,1),(76,1),(80,1),(81,1),(249,1),(255,1),(338,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(79,1),(82,1),(83,1),(164,1)}
        51:{1,3,4,7}:{(27,1),(80,1),(83,1),(159,1),(165,1),(255,1),(336,1)}
        52:{1,4,5}:{(28,1),(42,1),(78,1),(82,1),(103,1),(253,1),(333,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(85,1),(86,1),(87,1),(91,1),(246,1),(254,1),(326,1)}
        54:{1,2,5,7}:{(29,1),(31,1),(87,1),(88,1),(110,1),(179,1),(249,1),(259,1)}
        55:{1,4,5}:{(30,1),(32,1),(89,1),(103,1),(357,1)}
        56:{1,3,4,6}:{(30,1),(33,1),(86,1),(89,1),(91,1),(92,1),(173,1),(180,1)}
        57:{1,4,7}:{(30,1),(31,1),(34,1)}
        58:{1,3,6,7}:{(31,1),(35,1),(88,1),(93,1),(180,1),(197,1),(288,1)}
        59:{3,5}:{(32,1),(33,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(38,1),(90,1),(96,1),(97,1),(101,1),(104,1),(179,1),(194,1)}
        61:{2,3,4,6}:{(33,1),(36,1),(39,1),(77,1),(91,1),(95,1),(98,1),(99,1),(158,1),(190,1),(192,1),(245,1),(262,1),(269,1),(284,1),(335,1),(356,1),(386,1)}
        62:{3,4,7}:{(33,1),(34,1),(96,1),(336,1)}
        63:{2,4,6,7}:{(34,1),(35,1),(41,1),(93,1),(97,1),(100,1),(101,1),(356,1)}
        64:{1,3,4}:{(36,1),(42,1),(78,1),(102,1),(109,1),(184,1),(253,1)}
        65:{2,5}:{(37,1),(39,1),(103,1)}
        66:{1,3,5,7}:{(37,1),(38,1),(40,1),(96,1),(104,1),(105,1)}
        67:{1,4,6}:{(38,1),(97,1),(105,1),(106,1),(277,1)}
        68:{1,4,6}:{(39,1),(42,1),(43,1),(103,1),(108,1),(197,1)}
        69:{2,4,7}:{(39,1),(40,1),(44,1),(104,1),(108,1)}
        70:{1,5,7}:{(41,1),(101,1),(106,1),(401,1)}
        71:{1,2,4}:{(42,1),(45,1),(102,1),(109,1)}
        72:{1,2,6}:{(43,1),(45,1),(110,1),(164,1)}
        73:{1,3,7}:{(43,1),(44,1),(108,1),(110,1)}
        74:{1,4,5,6}:{(46,1),(55,1),(111,1),(112,1),(120,1),(133,1),(207,1),(322,1),(363,1),(409,1)}
        75:{3,5,6}:{(46,1),(59,1),(113,1),(115,1),(142,1),(298,1),(367,1),(411,1)}
        76:{2,4,5,7}:{(46,1),(49,1),(112,1),(115,1),(116,1),(121,1),(202,1),(208,1),(299,1),(301,1),(302,1),(370,1),(413,1)}
        77:{2,3,6}:{(47,1),(50,1),(117,1),(118,1),(298,1)}
        78:{1,3,5}:{(47,1),(52,1),(64,1),(117,1),(119,1)}
        79:{2,5,6}:{(48,1),(50,1),(65,1),(120,1),(121,1),(150,1),(306,1),(373,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(51,1),(115,1),(121,1),(122,1)}
        81:{1,4,6,7}:{(49,1),(67,1),(116,1),(122,1),(123,1),(295,1),(374,1)}
        82:{1,4,6}:{(50,1),(52,1),(117,1),(120,1),(125,1)}
        83:{2,4,7}:{(50,1),(51,1),(118,1),(121,1),(125,1),(215,1)}
        84:{1,2,4,5}:{(52,1),(71,1),(119,1),(124,1),(126,1),(148,1),(216,1),(233,1),(242,1),(306,1),(308,1)}
        85:{1,2,4,5}:{(53,1),(55,1),(127,1),(131,1),(148,1),(222,1),(227,1),(233,1),(242,1),(314,1),(376,1)}
        86:{1,3,6}:{(53,1),(127,1),(128,1),(129,1),(298,1)}
        87:{1,2,4,7}:{(53,1),(54,1),(57,1),(129,1),(135,1),(292,1),(299,1),(360,1)}
        88:{1,2,6,7}:{(54,1),(58,1),(230,1),(244,1),(295,1),(305,1)}
        89:{1,3,5}:{(55,1),(56,1),(59,1),(131,1)}
        90:{1,4,5,7}:{(55,1),(57,1),(60,1),(132,1),(133,1),(136,1),(149,1)}
        91:{2,4,6}:{(56,1),(128,1),(131,1),(134,1),(135,1),(222,1),(230,1)}
        92:{1,3,4,7}:{(56,1),(57,1),(62,1),(129,1),(132,1),(135,1)}
        93:{1,4,6,7}:{(57,1),(58,1),(63,1),(133,1),(136,1),(325,1)}
        94:{3,4,5}:{(59,1),(113,1),(138,1),(319,1),(367,1),(415,1)}
        95:{2,3,5}:{(59,1),(61,1),(65,1),(131,1),(138,1),(140,1),(306,1),(367,1),(383,1),(406,1)}
        96:{3,5,7}:{(59,1),(60,1),(62,1),(142,1)}
        97:{2,4,6}:{(60,1),(67,1),(133,1),(142,1),(143,1),(150,1),(230,1),(240,1)}
        98:{1,3,4,6}:{(61,1),(64,1),(68,1),(117,1),(134,1),(140,1),(144,1),(145,1),(151,1),(207,1),(231,1),(239,1),(242,1),(289,1),(296,1),(298,1),(312,1),(316,1),(319,1),(325,1),(380,1),(381,1),(404,1)}
        99:{2,3,4,7}:{(61,1),(62,1),(69,1),(118,1),(135,1),(141,1),(145,1),(208,1),(241,1),(290,1),(307,1),(323,1),(368,1),(407,1)}
       100:{3,4,6,7}:{(62,1),(63,1),(142,1),(146,1),(240,1),(369,1),(381,1),(413,1)}
       101:{2,5,7}:{(63,1),(70,1),(136,1),(143,1),(146,1),(383,1)}
       102:{2,4}:{(64,1),(119,1),(147,1)}
       103:{1,5}:{(65,1),(68,1)}
       104:{2,5,7}:{(65,1),(66,1),(69,1),(149,1),(150,1)}
       105:{1,3,6}:{(66,1),(67,1),(142,1),(150,1)}
       106:{1,5,6}:{(67,1),(70,1),(143,1)}
       107:{1,2,4,6}:{(68,1),(71,1),(72,1),(144,1),(148,1),(151,1),(152,1),(242,1),(244,1),(325,1),(358,1),(376,1),(404,1)}
       108:{1,4,7}:{(68,1),(69,1),(73,1),(149,1)}
       109:{1,3}:{(71,1),(147,1)}
       110:{1,2,7}:{(72,1),(73,1),(215,1)}
       111:{1,3,5,6}:{(74,1),(75,1),(89,1),(153,1),(154,1),(155,1),(180,1),(388,1),(419,1)}
       112:{1,4,5,7}:{(74,1),(76,1),(155,1),(156,1),(168,1),(255,1),(338,1)}
       113:{3,4,6}:{(75,1),(94,1),(158,1),(159,1),(403,1)}
       114:{2,3,5,6}:{(75,1),(77,1),(79,1),(95,1),(154,1),(158,1),(160,1),(161,1),(190,1),(245,1),(282,1)}
       115:{3,5,7}:{(75,1),(76,1),(159,1),(162,1),(336,1)}
       116:{2,4,6,7}:{(76,1),(81,1),(97,1),(156,1),(162,1),(163,1),(169,1),(250,1),(261,1),(396,1)}
       117:{1,3,6}:{(77,1),(78,1),(82,1),(164,1),(165,1)}
       118:{2,3,7}:{(77,1),(83,1),(165,1),(336,1)}
       119:{2,5}:{(78,1),(102,1),(164,1)}
       120:{1,5,6}:{(79,1),(82,1),(103,1),(168,1),(197,1),(333,1),(392,1)}
       121:{2,5,7}:{(79,1),(80,1),(83,1),(168,1),(169,1)}
       122:{1,3,6,7}:{(80,1),(81,1),(105,1),(162,1),(169,1),(345,1)}
       123:{1,5,6,7}:{(81,1),(106,1),(163,1),(338,1),(398,1)}
       124:{1,2,4,6}:{(82,1),(84,1),(164,1),(167,1),(170,1),(171,1),(254,1),(262,1),(264,1)}
       125:{1,4,7}:{(82,1),(83,1),(165,1),(168,1)}
       126:{1,3,5}:{(84,1),(109,1),(166,1),(170,1),(172,1),(279,1)}
       127:{1,3,5}:{(85,1),(86,1),(173,1),(174,1),(279,1),(399,1)}
       128:{2,3,6}:{(86,1),(91,1),(174,1),(175,1),(176,1),(326,1)}
       129:{1,3,7}:{(86,1),(87,1),(176,1),(336,1)}
       130:{1,3,4,5}:{(89,1),(94,1),(153,1),(173,1),(177,1),(185,1),(273,1),(279,1),(350,1),(388,1)}
       131:{2,5}:{(89,1),(91,1),(178,1)}
       132:{1,3,5,7}:{(89,1),(90,1),(92,1),(96,1),(179,1),(180,1)}
       133:{1,4,6}:{(90,1),(97,1),(180,1),(181,1),(197,1)}
       134:{1,4,6}:{(91,1),(175,1),(178,1),(183,1),(270,1),(277,1)}
       135:{2,4,7}:{(91,1),(92,1),(176,1),(179,1),(183,1)}
       136:{1,5,7}:{(93,1),(101,1),(181,1),(357,1)}
       137:{1,2,4}:{(102,1),(157,1),(184,1),(253,1)}
       138:{2,4,5}:{(94,1),(95,1),(158,1),(185,1),(284,1)}
       139:{3,4,5,7}:{(94,1),(96,1),(159,1),(186,1),(187,1),(194,1),(257,1),(353,1),(393,1),(402,1),(422,1)}
       140:{1,3,5}:{(95,1),(98,1),(103,1),(178,1),(185,1),(188,1),(279,1),(333,1),(357,1),(401,1),(402,1),(416,1)}
       141:{2,3,5,7}:{(95,1),(96,1),(99,1),(104,1),(179,1),(186,1),(189,1),(190,1),(342,1),(393,1),(418,1)}
       142:{3,6}:{(96,1),(97,1)}
       143:{2,5,6}:{(97,1),(101,1),(106,1),(181,1),(191,1)}
       144:{2,4,6}:{(98,1),(102,1),(164,1),(188,1),(192,1),(193,1),(284,1),(286,1),(326,1),(346,1)}
       145:{1,3,4,7}:{(98,1),(99,1),(108,1),(165,1),(183,1),(189,1),(193,1),(198,1),(255,1),(278,1),(287,1),(327,1),(334,1),(336,1),(351,1),(353,1),(417,1)}
       146:{3,5,7}:{(100,1),(101,1),(191,1),(194,1),(402,1)}
       147:{2,3}:{(102,1),(109,1),(184,1)}
       148:{1,2,5}:{(103,1),(107,1),(188,1),(195,1),(357,1),(416,1)}
       149:{1,5,7}:{(103,1),(104,1),(108,1),(197,1)}
       150:{2,6}:{(104,1),(105,1),(197,1)}
       151:{1,3,6}:{(107,1),(109,1),(192,1),(195,1),(198,1),(399,1)}
       152:{1,2,4,7}:{(107,1),(108,1),(110,1),(193,1),(196,1),(198,1),(287,1),(385,1),(417,1)}
       153:{1,3,4,6}:{(111,1),(113,1),(130,1),(199,1),(200,1),(207,1),(289,1),(298,1)}
       154:{2,5,6}:{(111,1),(131,1),(199,1),(201,1),(202,1),(230,1),(406,1),(424,1)}
       155:{1,3,5,7}:{(111,1),(112,1),(115,1),(200,1),(202,1),(203,1)}
       156:{1,4,6,7}:{(112,1),(116,1),(133,1),(203,1),(204,1),(219,1),(409,1)}
       157:{1,2,5}:{(119,1),(137,1),(205,1),(206,1)}
       158:{2,4,6}:{(113,1),(114,1),(138,1),(207,1),(208,1)}
       159:{3,4,7}:{(113,1),(115,1),(208,1),(413,1)}
       160:{1,3,5,6}:{(114,1),(117,1),(120,1),(140,1),(201,1),(207,1),(210,1),(211,1),(239,1),(289,1),(298,1),(322,1),(382,1)}
       161:{2,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(202,1),(208,1),(211,1),(212,1),(290,1),(301,1)}
       162:{3,6,7}:{(115,1),(116,1),(142,1),(411,1)}
       163:{2,5,6,7}:{(116,1),(123,1),(143,1),(204,1),(213,1),(301,1),(370,1),(414,1)}
       164:{2,6}:{(117,1),(119,1),(215,1)}
       165:{1,3,7}:{(117,1),(118,1),(125,1),(215,1)}
       166:{2,3,5}:{(119,1),(126,1),(147,1),(206,1),(214,1),(216,1),(306,1)}
       167:{1,2,5,6}:{(120,1),(124,1),(148,1),(210,1),(217,1),(218,1),(244,1),(306,1),(358,1),(373,1)}
       168:{1,5,7}:{(120,1),(121,1),(125,1),(219,1)}
       169:{2,6,7}:{(121,1),(122,1),(150,1),(219,1),(373,1)}
       170:{1,3,6}:{(124,1),(126,1),(214,1),(221,1),(298,1)}
       171:{1,2,4,7}:{(124,1),(125,1),(215,1),(218,1),(221,1),(299,1),(307,1),(309,1)}
       172:{1,3,4}:{(126,1),(216,1),(242,1),(319,1)}
       173:{1,3,4}:{(127,1),(222,1),(242,1),(319,1)}
       174:{2,3,5}:{(127,1),(128,1),(131,1),(222,1),(223,1),(314,1),(377,1)}
       175:{1,3,6}:{(128,1),(134,1),(223,1),(224,1),(225,1)}
       176:{2,3,7}:{(128,1),(129,1),(135,1),(225,1),(360,1)}
       177:{2,4,5}:{(130,1),(131,1),(199,1),(222,1),(226,1),(227,1),(314,1),(379,1),(406,1)}
       178:{1,5}:{(131,1),(134,1)}
       179:{2,5,7}:{(131,1),(132,1),(135,1),(229,1),(230,1)}
       180:{1,3,6}:{(132,1),(133,1),(142,1),(230,1)}
       181:{1,5,6}:{(133,1),(136,1),(143,1)}
       182:{1,2,4,6}:{(134,1),(137,1),(144,1),(205,1),(224,1),(228,1),(231,1),(232,1),(296,1),(313,1),(316,1),(318,1),(380,1)}
       183:{1,4,7}:{(134,1),(135,1),(225,1),(229,1)}
       184:{1,3}:{(137,1),(147,1)}
       185:{1,4,5}:{(138,1),(140,1),(207,1),(233,1),(242,1),(316,1),(415,1)}
       186:{2,4,5,7}:{(138,1),(139,1),(141,1),(208,1),(234,1),(235,1),(301,1),(323,1),(383,1)}
       187:{3,4,6}:{(139,1),(142,1),(235,1),(236,1),(240,1),(411,1),(425,1)}
       188:{2,5}:{(140,1),(144,1)}
       189:{1,3,5,7}:{(140,1),(141,1),(145,1),(149,1),(229,1),(234,1),(238,1),(239,1),(320,1),(366,1),(423,1)}
       190:{2,3,6}:{(141,1),(142,1),(150,1),(230,1),(235,1),(239,1),(373,1),(411,1),(424,1)}
       191:{3,5,6}:{(142,1),(143,1),(146,1),(240,1)}
       192:{2,3,6}:{(144,1),(147,1),(151,1),(231,1),(237,1),(241,1),(298,1),(377,1)}
       193:{2,4,7}:{(144,1),(145,1),(215,1),(238,1),(241,1),(360,1)}
       194:{4,5,7}:{(146,1),(240,1),(413,1),(415,1)}
       195:{1,3,5}:{(148,1),(151,1),(237,1),(242,1)}
       196:{1,2,5,7}:{(148,1),(149,1),(152,1),(238,1),(243,1),(244,1),(423,1)}
       197:{1,6}:{(149,1),(150,1)}
       198:{1,3,7}:{(151,1),(152,1),(241,1)}
       199:{2,4,6}:{(153,1),(154,1),(177,1),(245,1),(246,1),(247,1),(326,1)}
       200:{1,3,4,7}:{(153,1),(155,1),(159,1),(247,1),(255,1),(327,1),(336,1)}
       201:{1,5,6}:{(154,1),(178,1),(246,1),(249,1),(277,1),(416,1),(426,1)}
       202:{2,5,7}:{(154,1),(155,1),(247,1),(249,1),(250,1)}
       203:{1,3,6,7}:{(155,1),(156,1),(162,1),(180,1),(250,1),(419,1)}
       204:{1,5,6,7}:{(156,1),(163,1),(181,1),(338,1),(420,1)}
       205:{1,2,6}:{(157,1),(164,1),(251,1),(252,1)}
       206:{1,3,5}:{(157,1),(166,1),(184,1),(251,1),(253,1),(333,1)}
       207:{1,4,6}:{(158,1),(160,1),(185,1),(254,1),(255,1),(403,1)}
       208:{2,4,7}:{(158,1),(159,1),(161,1),(255,1)}
       209:{3,4,6,7}:{(159,1),(162,1),(187,1),(256,1),(257,1),(261,1)}
       210:{2,5,6}:{(160,1),(164,1),(188,1),(254,1),(259,1),(286,1),(326,1)}
       211:{1,3,5,7}:{(160,1),(161,1),(165,1),(168,1),(249,1),(255,1),(259,1),(260,1),(327,1),(336,1),(338,1),(395,1)}
       212:{2,3,6,7}:{(161,1),(162,1),(169,1),(190,1),(250,1),(256,1),(260,1)}
       213:{3,5,6,7}:{(162,1),(163,1),(191,1),(257,1),(261,1),(395,1),(421,1)}
       214:{2,3,6}:{(164,1),(166,1),(170,1),(251,1),(262,1),(263,1)}
       215:{2,7}:{(164,1),(165,1)}
       216:{2,4}:{(166,1),(172,1),(253,1)}
       217:{1,3,5,6}:{(167,1),(170,1),(195,1),(258,1),(264,1),(265,1),(267,1),(288,1),(345,1),(357,1),(384,1),(398,1),(416,1),(426,1)}
       218:{1,2,5,7}:{(167,1),(168,1),(171,1),(259,1),(265,1),(266,1),(342,1),(385,1)}
       219:{1,6,7}:{(168,1),(169,1),(197,1),(392,1)}
       220:{1,3,4,6}:{(170,1),(172,1),(262,1),(264,1),(267,1),(268,1),(335,1),(345,1)}
       221:{1,3,7}:{(170,1),(171,1),(263,1),(336,1)}
       222:{2,4}:{(173,1),(174,1),(270,1)}
       223:{1,3,5}:{(174,1),(175,1),(178,1),(270,1),(271,1),(347,1)}
       224:{1,2,6}:{(175,1),(271,1),(272,1),(326,1)}
       225:{1,3,7}:{(175,1),(176,1),(183,1),(272,1)}
       226:{2,3,5}:{(177,1),(245,1),(269,1),(273,1),(279,1)}
       227:{1,4,5}:{(177,1),(178,1),(246,1),(270,1),(273,1),(400,1),(416,1)}
       228:{1,2,5}:{(178,1),(182,1),(188,1),(275,1),(333,1),(401,1)}
       229:{1,5,7}:{(178,1),(179,1),(183,1),(277,1)}
       230:{2,6}:{(179,1),(180,1),(277,1)}
       231:{1,3,6}:{(182,1),(184,1),(192,1),(275,1),(278,1),(347,1)}
       232:{1,2,4,7}:{(182,1),(183,1),(193,1),(252,1),(272,1),(276,1),(278,1),(334,1),(351,1)}
       233:{2,4,5}:{(185,1),(188,1),(254,1),(279,1),(284,1)}
       234:{1,4,5,7}:{(185,1),(186,1),(189,1),(255,1),(280,1),(281,1),(287,1),(338,1),(351,1),(357,1),(401,1)}
       235:{2,4,6}:{(186,1),(187,1),(190,1),(281,1),(282,1)}
       236:{3,5,6}:{(187,1),(257,1),(282,1),(283,1),(402,1)}
       237:{2,3,5}:{(188,1),(192,1),(195,1),(275,1),(279,1),(284,1)}
       238:{2,5,7}:{(188,1),(189,1),(193,1),(286,1)}
       239:{1,3,6}:{(189,1),(190,1),(197,1),(277,1),(281,1),(286,1),(354,1),(392,1),(426,1)}
       240:{4,6}:{(191,1),(194,1)}
       241:{2,3,7}:{(192,1),(193,1),(198,1),(278,1),(336,1)}
       242:{1,4}:{(195,1),(284,1)}
       243:{1,3,5,7}:{(195,1),(196,1),(198,1),(285,1),(287,1),(288,1),(357,1)}
       244:{1,2,6}:{(196,1),(197,1),(286,1),(288,1),(426,1)}
       245:{2,3,6}:{(199,1),(226,1),(289,1),(290,1),(298,1)}
       246:{1,4,6}:{(199,1),(201,1),(227,1),(289,1),(292,1)}
       247:{2,4,7}:{(199,1),(200,1),(202,1),(290,1),(292,1),(360,1)}
       248:{1,2,5,6}:{(201,1),(205,1),(210,1),(228,1),(291,1),(293,1),(294,1),(318,1),(406,1),(424,1)}
       249:{1,5,7}:{(201,1),(202,1),(292,1),(295,1)}
       250:{2,6,7}:{(202,1),(203,1),(230,1),(295,1),(424,1)}
       251:{1,3,6}:{(205,1),(206,1),(214,1),(296,1),(297,1)}
       252:{1,2,7}:{(205,1),(215,1),(297,1)}
       253:{1,4}:{(206,1),(216,1)}
       254:{2,4,6}:{(207,1),(210,1),(233,1),(298,1),(299,1)}
       255:{1,4,7}:{(207,1),(208,1),(211,1),(299,1),(413,1)}
       256:{2,4,6,7}:{(208,1),(209,1),(212,1),(235,1),(300,1),(301,1)}
       257:{3,5,7}:{(209,1),(236,1),(301,1),(302,1)}
       258:{2,3,5,6}:{(210,1),(214,1),(217,1),(237,1),(293,1),(298,1),(303,1),(304,1),(306,1),(324,1),(359,1),(367,1),(373,1),(382,1),(383,1),(406,1),(411,1),(414,1),(424,1)}
       259:{2,5,7}:{(210,1),(211,1),(215,1),(299,1),(305,1),(360,1)}
       260:{1,3,6,7}:{(211,1),(212,1),(219,1),(239,1),(295,1),(300,1),(305,1),(369,1)}
       261:{4,6,7}:{(213,1),(240,1),(302,1),(413,1),(425,1)}
       262:{2,4,6}:{(214,1),(216,1),(220,1),(296,1),(306,1),(307,1),(373,1)}
       263:{2,3,7}:{(214,1),(215,1),(221,1),(297,1),(307,1)}
       264:{1,4,6}:{(217,1),(242,1),(303,1),(308,1),(309,1)}
       265:{1,3,5,7}:{(217,1),(218,1),(221,1),(304,1),(309,1),(310,1),(375,1),(405,1),(423,1)}
       266:{1,2,6,7}:{(218,1),(219,1),(244,1),(305,1),(310,1),(373,1)}
       267:{1,3,5}:{(220,1),(306,1),(308,1),(367,1)}
       268:{1,3,4,7}:{(220,1),(221,1),(307,1),(309,1),(311,1),(368,1)}
       269:{2,3,4}:{(222,1),(226,1),(312,1),(319,1),(377,1),(379,1)}
       270:{1,4}:{(222,1),(223,1)}
       271:{1,2,5}:{(223,1),(224,1),(313,1),(314,1)}
       272:{1,2,7}:{(224,1),(225,1),(360,1)}
       273:{1,3,5}:{(226,1),(227,1),(289,1),(312,1),(314,1)}
       274:{1,2,4,5}:{(227,1),(228,1),(233,1),(291,1),(313,1),(314,1),(315,1),(316,1),(363,1),(379,1),(406,1)}
       275:{1,3,5}:{(228,1),(231,1),(237,1),(316,1)}
       276:{1,2,5,7}:{(228,1),(229,1),(232,1),(238,1),(317,1),(318,1),(366,1)}
       277:{1,6}:{(229,1),(230,1)}
       278:{1,3,7}:{(231,1),(232,1),(241,1)}
       279:{3,5}:{(233,1),(298,1),(319,1)}
       280:{2,4,5,7}:{(233,1),(234,1),(238,1),(299,1),(320,1),(321,1),(323,1),(370,1),(383,1),(413,1),(415,1)}
       281:{1,4,6}:{(234,1),(235,1),(239,1),(321,1),(322,1)}
       282:{2,5,6}:{(235,1),(236,1),(301,1),(322,1),(383,1)}
       283:{4,5,6}:{(236,1),(240,1),(302,1),(415,1),(425,1)}
       284:{2,4}:{(237,1),(242,1),(316,1),(319,1)}
       285:{2,3,5,7}:{(237,1),(238,1),(241,1),(243,1),(317,1),(320,1),(323,1),(324,1),(383,1)}
       286:{2,6}:{(238,1),(239,1)}
       287:{1,4,7}:{(242,1),(243,1),(323,1),(325,1)}
       288:{1,3,6}:{(243,1),(244,1),(324,1),(325,1)}
       289:{1,3,6}:{(245,1),(246,1),(273,1),(326,1),(327,1)}
       290:{2,3,7}:{(245,1),(247,1),(327,1),(336,1)}
       291:{1,2,4,6}:{(246,1),(248,1),(254,1),(274,1),(326,1),(328,1),(329,1),(330,1),(386,1)}
       292:{1,4,7}:{(246,1),(247,1),(249,1),(327,1)}
       293:{1,3,5,6}:{(248,1),(251,1),(258,1),(275,1),(328,1),(330,1),(331,1),(333,1),(352,1),(388,1),(392,1),(401,1),(419,1),(420,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(259,1),(329,1),(331,1),(332,1),(418,1)}
       295:{1,6,7}:{(249,1),(250,1),(277,1),(426,1)}
       296:{1,4,6}:{(251,1),(253,1),(262,1),(333,1),(334,1),(392,1)}
       297:{1,3,7}:{(251,1),(252,1),(263,1),(334,1)}
       298:{3,6}:{(254,1),(279,1),(336,1)}
       299:{2,4,7}:{(254,1),(255,1),(259,1),(336,1)}
       300:{1,4,6,7}:{(255,1),(256,1),(260,1),(281,1),(337,1),(338,1)}
       301:{2,5,7}:{(256,1),(257,1),(282,1),(338,1)}
       302:{4,5,7}:{(257,1),(261,1),(283,1)}
       303:{2,4,6}:{(258,1),(264,1),(284,1),(330,1),(335,1),(339,1),(340,1),(403,1)}
       304:{2,3,5,7}:{(258,1),(259,1),(263,1),(265,1),(331,1),(336,1),(340,1),(341,1),(342,1),(387,1),(393,1),(395,1),(397,1),(418,1)}
       305:{2,6,7}:{(259,1),(260,1),(286,1)}
       306:{2,5}:{(262,1),(267,1),(333,1)}
       307:{2,4,7}:{(262,1),(263,1),(268,1),(334,1),(342,1)}
       308:{1,4,5}:{(264,1),(267,1),(339,1),(357,1),(416,1)}
       309:{1,4,7}:{(264,1),(265,1),(340,1)}
       310:{1,3,6,7}:{(265,1),(266,1),(288,1),(341,1),(344,1),(345,1),(426,1)}
       311:{1,3,5,7}:{(267,1),(268,1),(342,1),(343,1),(345,1),(393,1)}
       312:{1,3,4}:{(269,1),(270,1),(273,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(270,1),(271,1),(346,1),(347,1)}
       314:{2,5}:{(273,1),(326,1),(346,1)}
       315:{1,3,5}:{(274,1),(279,1),(328,1),(347,1),(349,1),(350,1)}
       316:{1,4}:{(275,1),(284,1)}
       317:{1,3,5,7}:{(275,1),(276,1),(278,1),(285,1),(351,1),(352,1),(401,1)}
       318:{1,2,6}:{(276,1),(277,1),(286,1),(352,1),(392,1)}
       319:{3,4}:{(279,1),(284,1)}
       320:{3,5,7}:{(279,1),(280,1),(336,1),(353,1),(354,1),(402,1)}
       321:{2,4,6}:{(280,1),(281,1),(286,1),(354,1),(355,1),(403,1)}
       322:{1,5,6}:{(281,1),(282,1),(338,1),(355,1),(357,1),(401,1)}
       323:{2,4,7}:{(284,1),(285,1),(287,1),(351,1),(353,1),(356,1)}
       324:{2,3,6}:{(285,1),(286,1),(288,1),(352,1),(354,1),(356,1)}
       325:{1,4,6}:{(287,1),(288,1),(356,1),(357,1)}
       326:{2,6}:{(289,1),(314,1),(360,1)}
       327:{1,3,7}:{(289,1),(290,1),(292,1),(360,1)}
       328:{1,3,6}:{(291,1),(298,1),(315,1),(359,1),(362,1)}
       329:{1,2,4,7}:{(291,1),(292,1),(294,1),(299,1),(360,1),(362,1),(364,1),(407,1)}
       330:{1,4,6}:{(293,1),(303,1),(316,1),(363,1),(364,1)}
       331:{1,3,5,7}:{(293,1),(294,1),(297,1),(304,1),(362,1),(364,1),(365,1),(366,1),(410,1)}
       332:{1,2,6,7}:{(294,1),(295,1),(305,1),(318,1),(365,1),(424,1)}
       333:{1,5}:{(296,1),(306,1)}
       334:{1,4,7}:{(296,1),(297,1),(307,1),(366,1)}
       335:{3,4,6}:{(298,1),(303,1),(319,1),(367,1),(368,1),(411,1)}
       336:{3,7}:{(298,1),(299,1)}
       337:{2,4,6,7}:{(299,1),(300,1),(305,1),(321,1),(369,1),(370,1),(413,1)}
       338:{1,5,7}:{(300,1),(301,1),(322,1),(370,1)}
       339:{2,4,5}:{(303,1),(306,1),(308,1),(363,1),(367,1),(383,1),(406,1),(415,1)}
       340:{2,4,7}:{(303,1),(304,1),(309,1),(364,1),(368,1),(413,1)}
       341:{2,3,6,7}:{(304,1),(305,1),(310,1),(324,1),(365,1),(369,1),(372,1),(373,1),(411,1),(424,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,5,7}:{(308,1),(309,1),(311,1),(371,1),(374,1),(375,1),(423,1)}
       344:{1,4,6,7}:{(309,1),(310,1),(325,1),(372,1),(374,1),(375,1)}
       345:{1,3,6}:{(311,1),(373,1),(374,1),(411,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(359,1),(377,1),(378,1),(379,1),(406,1)}
       350:{1,3,4}:{(315,1),(316,1),(319,1),(379,1)}
       351:{1,4,7}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,3,6}:{(317,1),(318,1),(324,1),(380,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(381,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(370,1),(382,1),(383,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(381,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(326,1),(348,1),(384,1),(385,1)}
       359:{2,3,6}:{(326,1),(328,1),(349,1),(384,1),(386,1),(387,1)}
       360:{2,7}:{(326,1),(327,1)}
       361:{1,3,4,6}:{(328,1),(330,1),(335,1),(350,1),(386,1),(388,1),(389,1),(419,1)}
       362:{1,3,7}:{(328,1),(329,1),(336,1),(387,1)}
       363:{1,4,5}:{(330,1),(333,1),(339,1),(388,1),(401,1)}
       364:{1,4,7}:{(330,1),(331,1),(340,1)}
       365:{1,3,6,7}:{(331,1),(332,1),(341,1),(352,1),(391,1),(392,1),(419,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{3,5}:{(335,1),(339,1)}
       368:{3,4,7}:{(335,1),(336,1),(340,1),(393,1)}
       369:{3,6,7}:{(336,1),(337,1),(354,1),(395,1)}
       370:{2,5,7}:{(337,1),(338,1),(355,1),(395,1)}
       371:{2,4,5,7}:{(339,1),(340,1),(342,1),(343,1),(390,1),(393,1),(396,1),(397,1),(418,1),(422,1)}
       372:{2,4,6,7}:{(340,1),(341,1),(344,1),(356,1),(391,1),(394,1),(396,1),(397,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,4,6}:{(343,1),(345,1),(396,1),(398,1),(426,1)}
       375:{1,5,7}:{(344,1),(357,1),(397,1),(398,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(384,1),(399,1),(400,1),(416,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,4,6}:{(353,1),(354,1),(356,1),(402,1),(403,1)}
       382:{3,5,6}:{(354,1),(355,1),(395,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(402,1)}
       384:{1,3,6}:{(358,1),(359,1),(378,1),(404,1),(405,1)}
       385:{1,2,7}:{(358,1),(360,1),(405,1)}
       386:{2,4,6}:{(359,1),(361,1),(379,1),(404,1),(406,1),(407,1),(424,1)}
       387:{2,3,7}:{(359,1),(360,1),(362,1),(405,1),(407,1)}
       388:{1,3,5}:{(361,1),(363,1),(367,1),(406,1)}
       389:{1,3,4,7}:{(361,1),(362,1),(364,1),(368,1),(407,1),(408,1)}
       390:{1,4,5,7}:{(363,1),(364,1),(366,1),(371,1),(408,1),(409,1),(410,1)}
       391:{1,4,6,7}:{(364,1),(365,1),(372,1),(380,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(371,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(372,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(382,1),(413,1)}
       396:{2,4,6}:{(371,1),(373,1),(374,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       397:{2,5,7}:{(372,1),(375,1),(383,1),(410,1),(412,1),(414,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{3,5}:{(381,1),(383,1),(415,1)}
       403:{4,6}:{(382,1),(413,1),(415,1)}
       404:{1,4,6}:{(384,1),(386,1),(400,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(384,1),(385,1),(387,1),(417,1)}
       406:{2,5}:{(386,1),(388,1),(416,1)}
       407:{2,4,7}:{(386,1),(387,1),(389,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(390,1),(393,1),(418,1),(419,1)}
       409:{1,4,6}:{(390,1),(392,1),(396,1),(419,1),(420,1)}
       410:{1,5,7}:{(391,1),(397,1),(401,1),(420,1)}
       411:{3,6}:{(393,1),(396,1)}
       412:{3,5,7}:{(394,1),(397,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(395,1),(403,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(421,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 277 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(128,1),(184,1),(237,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(149,1),(260,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(158,1),(166,1),(212,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(70,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(70,1),(119,1),(184,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(120,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(29,1),(85,1),(129,1),(186,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(30,1),(39,1),(41,1),(76,1),(85,1),(120,1),(126,1),(138,1),(198,1),(200,1),(237,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(47,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(48,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(91,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(48,1),(92,1),(105,1),(212,1),(260,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(149,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(47,1),(61,1),(101,1),(149,1),(156,1),(214,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(48,1),(60,1),(170,1),(226,1),(227,1),(260,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(36,1),(66,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(28,1),(29,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(29,1),(32,1),(70,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(30,1),(32,1),(39,1),(120,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(119,1),(177,1),(184,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(28,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(29,1),(35,1),(37,1),(42,1),(70,1),(82,1),(85,1),(119,1),(133,1),(136,1),(186,1),(201,1),(240,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(70,1),(240,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(126,1),(142,1),(201,1)}
        28:{1,5,7}:{(16,1),(17,1),(44,1),(113,1)}
        29:{2,5,6}:{(17,1),(18,1),(44,1),(47,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(23,1),(45,1),(47,1),(48,1),(57,1),(92,1)}
        31:{1,3,5,6,7}:{(18,1),(46,1),(49,1),(94,1),(98,1),(266,1)}
        32:{1,4,6}:{(18,1),(19,1),(47,1),(149,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(48,1),(51,1),(52,1),(60,1),(97,1),(98,1),(109,1),(151,1),(162,1),(171,1),(211,1),(220,1),(227,1),(260,1),(265,1),(297,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(92,1),(204,1),(212,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(44,1),(53,1),(55,1),(63,1),(91,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(48,1),(58,1),(260,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(156,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{1,5,6}:{(28,1),(29,1),(66,1)}
        45:{1,4,5,7}:{(28,1),(30,1),(36,1),(66,1),(67,1),(79,1)}
        46:{2,5,6,7}:{(29,1),(31,1),(65,1),(68,1),(127,1),(282,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(66,1),(70,1),(119,1)}
        48:{3,5,7}:{(30,1),(38,1),(70,1),(82,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(68,1),(72,1),(177,1),(284,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(69,1),(72,1),(74,1),(179,1),(185,1),(245,1),(284,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(70,1),(74,1),(75,1),(123,1),(125,1),(185,1),(240,1),(284,1),(307,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(85,1),(126,1),(127,1),(139,1),(182,1),(188,1),(200,1),(237,1),(242,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(119,1),(136,1),(143,1),(179,1),(186,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(237,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(67,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(70,1),(82,1),(240,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(71,1),(81,1),(83,1),(84,1),(142,1),(182,1),(188,1),(229,1),(251,1),(280,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(126,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(158,1),(293,1)}
        66:{1,4,6}:{(44,1),(45,1),(47,1),(91,1)}
        67:{1,3,5,7}:{(45,1),(48,1),(56,1),(91,1),(92,1),(106,1)}
        68:{2,4,6,7}:{(46,1),(47,1),(49,1),(89,1),(93,1),(94,1),(146,1),(298,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(57,1),(90,1),(93,1),(95,1),(100,1),(148,1),(154,1),(214,1),(264,1),(298,1)}
        70:{3,6}:{(47,1),(48,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(59,1),(92,1),(96,1),(97,1),(110,1),(227,1),(260,1),(297,1),(309,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(93,1),(98,1),(204,1),(211,1)}
        73:{1,3,4,6,7}:{(49,1),(51,1),(94,1),(98,1),(99,1),(151,1),(153,1),(211,1),(260,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(95,1),(98,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(96,1),(100,1),(101,1),(156,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(97,1),(101,1),(113,1),(158,1),(171,1),(210,1),(211,1),(259,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(207,1),(214,1),(256,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(260,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(91,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(92,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(96,1),(107,1),(110,1),(111,1),(154,1),(173,1),(206,1),(216,1),(221,1),(228,1),(263,1),(295,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(97,1),(108,1),(111,1),(112,1),(115,1),(170,1),(210,1),(211,1),(252,1),(260,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(156,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(68,1),(116,1),(117,1),(304,1)}
        90:{1,4,5,6}:{(66,1),(69,1),(79,1),(116,1),(118,1),(129,1),(185,1),(279,1),(304,1)}
        91:{1,3,6}:{(66,1),(67,1),(70,1),(119,1)}
        92:{2,5,7}:{(67,1),(81,1),(119,1),(120,1),(136,1)}
        93:{2,4,5,7}:{(68,1),(69,1),(72,1),(116,1),(121,1),(127,1),(176,1),(182,1),(237,1)}
        94:{3,6,7}:{(68,1),(70,1),(121,1),(307,1)}
        95:{3,5,6}:{(69,1),(70,1),(82,1),(121,1),(123,1),(240,1),(283,1),(307,1)}
        96:{2,3,6}:{(70,1),(71,1),(75,1),(119,1),(125,1),(240,1),(307,1),(313,1)}
        97:{1,3,5,7}:{(71,1),(76,1),(84,1),(120,1),(125,1),(126,1),(140,1),(312,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(121,1),(127,1)}
        99:{2,4,6,7}:{(73,1),(75,1),(122,1),(127,1),(128,1),(182,1),(184,1),(237,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(127,1),(129,1),(242,1)}
       101:{1,4,6}:{(75,1),(76,1),(125,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(126,1),(130,1),(131,1),(143,1),(188,1),(189,1),(200,1),(202,1),(237,1),(242,1),(243,1),(245,1),(281,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(240,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(119,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(120,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(123,1),(139,1),(251,1),(283,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(242,1),(283,1),(306,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(125,1),(137,1),(140,1),(141,1),(144,1),(185,1),(199,1),(202,1),(233,1),(236,1),(240,1),(246,1),(250,1),(251,1),(305,1)}
       112:{2,4,7}:{(84,1),(126,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(276,1),(285,1),(305,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(93,1),(145,1),(158,1),(211,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(94,1),(145,1),(146,1),(310,1)}
       118:{1,3,5,6}:{(90,1),(91,1),(95,1),(106,1),(145,1),(147,1),(148,1),(296,1),(310,1)}
       119:{2,6}:{(91,1),(92,1),(149,1)}
       120:{1,5,7}:{(92,1),(108,1),(149,1),(168,1)}
       121:{3,5,7}:{(93,1),(94,1),(95,1),(151,1),(260,1)}
       122:{2,3,6,7}:{(94,1),(96,1),(99,1),(146,1),(152,1),(153,1),(260,1)}
       123:{3,4,6}:{(95,1),(109,1),(151,1),(154,1)}
       124:{2,3,5,6}:{(95,1),(96,1),(100,1),(110,1),(148,1),(152,1),(154,1),(155,1),(206,1)}
       125:{1,3,6}:{(96,1),(97,1),(101,1),(149,1),(156,1),(314,1)}
       126:{2,5,7}:{(97,1),(112,1),(156,1),(172,1)}
       127:{2,5,7}:{(98,1),(99,1),(100,1),(158,1)}
       128:{1,4,6,7}:{(99,1),(101,1),(153,1),(158,1),(211,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(158,1),(259,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(156,1),(160,1),(161,1),(214,1),(216,1),(219,1),(298,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(157,1),(161,1),(162,1),(174,1),(220,1),(227,1),(260,1),(297,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(256,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(147,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(296,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(149,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(150,1),(166,1),(169,1),(170,1),(210,1)}
       139:{2,4,5}:{(109,1),(110,1),(154,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(259,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(156,1),(172,1),(173,1),(228,1),(256,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(260,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(121,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(119,1),(176,1),(177,1),(313,1)}
       147:{1,3,4,6}:{(118,1),(123,1),(135,1),(175,1),(178,1),(185,1),(233,1),(240,1)}
       148:{2,5,6}:{(118,1),(119,1),(136,1),(176,1),(178,1),(179,1),(306,1),(313,1)}
       149:{1,6}:{(119,1),(120,1)}
       150:{1,2,5,7}:{(120,1),(126,1),(138,1),(180,1),(181,1),(198,1)}
       151:{3,4,7}:{(121,1),(123,1),(182,1)}
       152:{2,3,5,7}:{(121,1),(122,1),(124,1),(127,1),(176,1),(182,1),(183,1),(229,1)}
       153:{1,3,6,7}:{(122,1),(125,1),(128,1),(177,1),(183,1),(184,1)}
       154:{2,4,6}:{(123,1),(124,1),(139,1),(182,1),(185,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(129,1),(140,1),(179,1),(183,1),(185,1),(186,1),(233,1),(240,1)}
       156:{2,6}:{(125,1),(126,1)}
       157:{2,3,5,7}:{(126,1),(131,1),(142,1),(181,1),(187,1),(188,1),(201,1),(242,1)}
       158:{1,5,7}:{(127,1),(128,1),(129,1)}
       159:{1,2,4,6,7}:{(128,1),(130,1),(184,1),(189,1),(190,1),(237,1),(239,1),(243,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(186,1),(189,1),(191,1),(242,1),(276,1),(282,1)}
       161:{1,3,6}:{(130,1),(131,1),(187,1),(240,1),(307,1)}
       162:{1,3,4,7}:{(131,1),(188,1),(192,1),(202,1),(243,1),(251,1),(280,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(178,1),(193,1),(196,1),(197,1),(248,1),(288,1),(306,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(180,1),(195,1),(198,1),(199,1),(236,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(185,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(240,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(151,1),(203,1),(211,1),(252,1),(260,1)}
       176:{2,5,7}:{(145,1),(146,1),(148,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(149,1),(204,1),(314,1)}
       178:{2,4,6}:{(147,1),(148,1),(167,1),(203,1),(206,1),(207,1),(256,1)}
       179:{1,5,6}:{(148,1),(149,1),(168,1),(204,1),(207,1),(311,1),(314,1)}
       180:{1,2,6}:{(149,1),(150,1),(156,1),(209,1)}
       181:{1,3,5,7}:{(150,1),(157,1),(170,1),(209,1),(210,1),(226,1),(259,1)}
       182:{2,4,7}:{(151,1),(152,1),(154,1),(211,1)}
       183:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(204,1),(211,1),(212,1),(252,1),(260,1)}
       184:{2,6,7}:{(153,1),(156,1),(212,1)}
       185:{1,4,6}:{(154,1),(155,1),(171,1),(211,1),(214,1)}
       186:{2,5,6}:{(155,1),(156,1),(172,1),(212,1),(214,1),(256,1)}
       187:{2,3,6}:{(156,1),(157,1),(161,1),(209,1),(216,1)}
       188:{2,4,7}:{(157,1),(162,1),(210,1),(216,1),(228,1)}
       189:{1,2,5,7}:{(158,1),(159,1),(160,1),(212,1),(217,1),(262,1),(289,1)}
       190:{1,3,6,7}:{(159,1),(161,1),(213,1),(217,1),(260,1),(314,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(215,1),(217,1),(219,1),(220,1),(294,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(216,1),(219,1),(220,1),(263,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(256,1)}
       196:{2,3,5}:{(167,1),(206,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(207,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(259,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(214,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(178,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(179,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(184,1),(231,1),(232,1),(313,1)}
       206:{2,3,6}:{(178,1),(196,1),(229,1),(233,1),(240,1)}
       207:{1,4,6}:{(178,1),(179,1),(197,1),(230,1),(233,1)}
       208:{1,2,5,6}:{(179,1),(180,1),(186,1),(198,1),(231,1),(234,1),(235,1),(306,1),(313,1)}
       209:{1,3,6}:{(180,1),(181,1),(187,1),(236,1)}
       210:{1,4,7}:{(181,1),(188,1),(236,1),(250,1)}
       211:{1,4,7}:{(182,1),(183,1),(185,1),(237,1)}
       212:{2,5,7}:{(183,1),(184,1),(186,1),(237,1),(272,1)}
       213:{2,3,6,7}:{(184,1),(187,1),(190,1),(232,1),(238,1),(239,1),(307,1),(313,1)}
       214:{2,4,6}:{(185,1),(186,1),(200,1),(237,1),(240,1)}
       215:{2,3,5,6}:{(186,1),(187,1),(191,1),(201,1),(235,1),(238,1),(240,1),(241,1),(242,1),(277,1),(282,1),(283,1),(306,1),(307,1),(313,1)}
       216:{2,4,6}:{(187,1),(188,1),(192,1),(236,1),(242,1)}
       217:{1,3,5,7}:{(189,1),(190,1),(191,1),(238,1),(243,1),(301,1),(312,1)}
       218:{1,3,4,6,7}:{(190,1),(192,1),(239,1),(243,1),(244,1),(280,1),(284,1),(307,1)}
       219:{1,4,6}:{(191,1),(202,1),(241,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(242,1),(245,1),(283,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(233,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(234,1),(247,1),(248,1),(249,1),(250,1),(279,1),(288,1),(306,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(240,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(206,1),(252,1),(260,1)}
       230:{1,4,7}:{(203,1),(204,1),(207,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(208,1),(212,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(209,1),(213,1),(254,1),(255,1),(310,1)}
       233:{1,3,6}:{(206,1),(207,1),(224,1),(252,1),(256,1)}
       234:{1,2,4,6}:{(207,1),(208,1),(214,1),(225,1),(253,1),(256,1),(257,1),(258,1),(295,1)}
       235:{1,3,5,6}:{(208,1),(209,1),(215,1),(226,1),(254,1),(257,1),(258,1),(259,1),(293,1),(296,1),(310,1)}
       236:{1,4,6}:{(209,1),(210,1),(216,1),(259,1)}
       237:{2,4,7}:{(211,1),(212,1),(214,1),(260,1)}
       238:{2,3,5,7}:{(212,1),(213,1),(215,1),(217,1),(254,1),(260,1),(261,1),(262,1),(290,1),(297,1),(309,1)}
       239:{2,4,6,7}:{(213,1),(216,1),(218,1),(255,1),(261,1),(262,1),(298,1)}
       240:{3,6}:{(214,1),(227,1),(260,1)}
       241:{2,4,6}:{(215,1),(219,1),(228,1),(258,1),(261,1),(263,1),(264,1)}
       242:{2,5}:{(216,1),(220,1),(259,1)}
       243:{1,4,7}:{(217,1),(219,1),(261,1)}
       244:{1,3,5,7}:{(218,1),(220,1),(262,1),(265,1),(266,1),(297,1)}
       245:{1,4,5}:{(219,1),(220,1),(264,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(256,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(257,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(233,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(234,1),(237,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(235,1),(238,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(236,1),(239,1),(274,1),(275,1),(304,1)}
       256:{2,6}:{(233,1),(248,1),(272,1)}
       257:{1,3,6}:{(234,1),(240,1),(249,1),(273,1),(277,1)}
       258:{1,4,6}:{(235,1),(241,1),(250,1),(274,1),(279,1)}
       259:{1,5}:{(236,1),(242,1)}
       260:{3,7}:{(237,1),(240,1)}
       261:{2,4,7}:{(238,1),(241,1),(243,1),(274,1),(280,1)}
       262:{2,5,7}:{(239,1),(242,1),(244,1),(275,1),(282,1)}
       263:{3,4,6}:{(240,1),(241,1),(251,1),(280,1),(283,1),(307,1)}
       264:{2,4,5}:{(241,1),(242,1),(245,1),(279,1),(283,1),(306,1)}
       265:{1,4,5,7}:{(243,1),(244,1),(245,1),(281,1),(284,1),(312,1)}
       266:{1,3,5,6}:{(244,1),(282,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(276,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(277,1),(286,1),(287,1),(288,1),(306,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(256,1)}
       273:{1,3,7}:{(253,1),(257,1),(260,1),(290,1)}
       274:{1,4,7}:{(254,1),(258,1),(261,1)}
       275:{1,5,7}:{(255,1),(259,1),(262,1),(293,1)}
       276:{1,2,6}:{(256,1),(269,1),(289,1),(294,1)}
       277:{2,3,6}:{(256,1),(257,1),(270,1),(290,1),(294,1),(295,1)}
       278:{1,3,4,6}:{(257,1),(258,1),(263,1),(271,1),(291,1),(295,1),(296,1),(310,1)}
       279:{1,4,5}:{(258,1),(259,1),(264,1),(296,1)}
       280:{3,4,7}:{(260,1),(261,1),(263,1),(297,1)}
       281:{2,4,5,7}:{(261,1),(262,1),(264,1),(265,1),(292,1),(297,1),(298,1),(309,1)}
       282:{2,5,6}:{(262,1),(266,1),(293,1),(298,1)}
       283:{3,5}:{(263,1),(264,1)}
       284:{1,4,6}:{(265,1),(266,1),(298,1),(314,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(294,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(276,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(277,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(278,1),(280,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(279,1),(281,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(282,1),(304,1)}
       294:{1,3,6}:{(276,1),(277,1),(287,1),(301,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(288,1),(302,1),(305,1),(306,1),(313,1)}
       296:{1,3,5}:{(278,1),(279,1),(283,1),(306,1)}
       297:{3,5,7}:{(280,1),(281,1),(283,1),(307,1)}
       298:{2,4,6}:{(281,1),(282,1),(284,1),(304,1),(307,1),(313,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(294,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(295,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(296,1),(297,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(298,1),(310,1)}
       305:{1,4,6}:{(294,1),(295,1),(300,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(295,1),(296,1),(311,1)}
       307:{3,6}:{(297,1),(298,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 278 :   0:{1,2,6,7}:{(2,1),(4,1),(138,1),(223,1),(287,1),(294,1)}
         1:{1,2,5,6}:{(3,1),(4,1),(5,1),(65,1),(135,1),(138,1),(191,1),(201,1),(210,1),(287,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(8,1),(9,1),(97,1),(245,1),(326,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(13,1),(37,1),(39,1),(97,1),(148,1),(156,1),(245,1),(247,1),(326,1),(388,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(98,1),(178,1),(236,1),(254,1)}
         5:{1,2,4,6}:{(1,1),(10,1),(11,1),(12,1),(13,1),(41,1),(176,1),(252,1),(264,1)}
         6:{2,3,6,7}:{(2,1),(14,1),(16,1),(17,1),(126,1),(138,1),(199,1),(294,1),(301,1),(363,1)}
         7:{2,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(25,1),(54,1),(56,1),(65,1),(108,1),(115,1),(126,1),(138,1),(199,1),(210,1),(217,1),(293,1),(301,1),(368,1),(370,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(19,1),(21,1),(63,1),(361,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(21,1),(24,1),(190,1),(200,1)}
        10:{1,4,6}:{(3,1),(18,1),(20,1),(21,1),(289,1)}
        11:{1,2,4,5}:{(5,1),(20,1),(23,1),(65,1),(68,1),(137,1),(201,1),(214,1),(226,1),(231,1),(289,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(21,1),(24,1),(66,1),(221,1),(292,1),(304,1)}
        13:{1,3,6}:{(5,1),(23,1),(24,1),(25,1),(293,1)}
        14:{1,3,6,7}:{(6,1),(26,1),(28,1),(29,1),(154,1),(182,1),(273,1)}
        15:{1,3,5,6}:{(7,1),(27,1),(29,1),(30,1),(45,1),(74,1),(76,1),(78,1),(99,1),(154,1),(182,1),(184,1),(273,1),(348,1)}
        16:{2,4,6,7}:{(6,1),(8,1),(28,1),(31,1),(32,1),(34,1),(87,1),(338,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(32,1),(34,1),(44,1),(88,1),(98,1),(147,1),(155,1),(254,1),(330,1),(389,1)}
        18:{2,4,6}:{(7,1),(10,1),(30,1),(33,1),(34,1),(35,1),(262,1),(394,1)}
        19:{1,5,7}:{(8,1),(32,1),(37,1),(388,1)}
        20:{1,4,5}:{(10,1),(33,1),(39,1),(156,1),(388,1)}
        21:{1,4,7}:{(9,1),(10,1),(34,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(35,1),(39,1),(40,1),(41,1),(42,1),(97,1)}
        23:{1,3,5}:{(11,1),(13,1),(42,1),(43,1),(259,1),(275,1)}
        24:{1,3,7}:{(12,1),(13,1),(44,1),(330,1)}
        25:{2,3,6}:{(13,1),(41,1),(43,1),(44,1),(45,1),(264,1)}
        26:{1,2,6,7}:{(14,1),(46,1),(199,1),(228,1),(282,1),(294,1)}
        27:{1,2,5,6}:{(15,1),(46,1),(47,1),(71,1),(115,1),(140,1),(196,1),(199,1),(210,1),(228,1)}
        28:{1,4,6,7}:{(14,1),(16,1),(48,1),(50,1),(113,1),(313,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(46,1),(48,1),(50,1),(70,1),(107,1),(139,1)}
        30:{1,4,6}:{(15,1),(18,1),(49,1),(50,1),(230,1)}
        31:{3,4,6,7}:{(16,1),(53,1),(57,1),(123,1),(126,1),(363,1),(369,1),(408,1)}
        32:{2,5,7}:{(16,1),(19,1),(48,1),(53,1),(54,1),(370,1)}
        33:{2,4,5}:{(18,1),(20,1),(49,1),(56,1),(65,1),(115,1),(370,1),(412,1)}
        34:{2,4,7}:{(17,1),(18,1),(21,1),(50,1),(57,1),(408,1)}
        35:{3,4,6}:{(18,1),(56,1),(57,1),(126,1),(293,1),(300,1)}
        36:{1,4,5,6}:{(20,1),(52,1),(60,1),(61,1),(63,1),(196,1),(207,1),(297,1),(310,1),(377,1)}
        37:{1,5,6}:{(19,1),(54,1),(63,1)}
        38:{1,4,5,7}:{(19,1),(20,1),(21,1),(55,1),(63,1),(64,1),(200,1)}
        39:{1,3,5}:{(20,1),(22,1),(56,1),(65,1)}
        40:{1,3,4,7}:{(21,1),(22,1),(24,1),(57,1),(64,1),(66,1)}
        41:{2,4,6}:{(22,1),(25,1),(65,1),(66,1),(67,1),(68,1),(138,1)}
        42:{1,3,4}:{(23,1),(68,1),(289,1),(300,1)}
        43:{2,3,5}:{(23,1),(25,1),(65,1),(68,1),(69,1),(226,1),(232,1)}
        44:{2,3,7}:{(24,1),(25,1),(66,1),(70,1),(304,1)}
        45:{1,3,6}:{(25,1),(67,1),(69,1),(70,1),(71,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(29,1),(73,1),(105,1),(155,1),(241,1),(254,1)}
        47:{1,2,4,6}:{(27,1),(30,1),(72,1),(73,1),(74,1),(80,1),(239,1),(252,1),(317,1)}
        48:{1,5,7}:{(28,1),(32,1),(76,1),(348,1)}
        49:{1,4,5}:{(30,1),(33,1),(78,1),(99,1),(348,1)}
        50:{1,4,7}:{(29,1),(30,1),(34,1)}
        51:{1,3,4,6}:{(30,1),(35,1),(74,1),(78,1),(79,1),(80,1),(145,1),(154,1)}
        52:{2,4,5,6}:{(33,1),(36,1),(75,1),(82,1),(83,1),(87,1),(95,1),(152,1),(161,1),(165,1),(252,1),(256,1),(334,1),(335,1),(393,1),(394,1)}
        53:{3,5,7}:{(31,1),(32,1),(84,1),(85,1),(395,1)}
        54:{2,5,6}:{(32,1),(37,1),(76,1),(84,1),(87,1)}
        55:{2,4,5,7}:{(32,1),(33,1),(34,1),(38,1),(77,1),(85,1),(87,1),(88,1),(98,1),(155,1)}
        56:{3,5}:{(33,1),(35,1)}
        57:{3,4,7}:{(34,1),(35,1),(88,1),(330,1)}
        58:{2,3,4,6}:{(35,1),(41,1),(80,1),(89,1),(90,1),(91,1),(102,1),(161,1),(169,1),(173,1),(174,1),(233,1),(237,1),(262,1),(331,1),(338,1),(342,1),(382,1)}
        59:{1,5,6,7}:{(37,1),(81,1),(93,1),(328,1),(400,1)}
        60:{1,4,5,7}:{(36,1),(82,1),(93,1),(94,1),(241,1),(251,1),(328,1)}
        61:{1,3,5,6}:{(36,1),(39,1),(83,1),(92,1),(94,1),(95,1),(97,1),(344,1),(399,1)}
        62:{1,3,4,5}:{(39,1),(42,1),(86,1),(92,1),(96,1),(168,1),(180,1),(259,1),(272,1),(344,1)}
        63:{1,4,6}:{(37,1),(38,1),(87,1),(97,1),(245,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(40,1),(88,1),(97,1),(98,1)}
        65:{2,5}:{(39,1),(41,1),(99,1)}
        66:{2,4,7}:{(40,1),(41,1),(44,1),(98,1),(100,1)}
        67:{1,4,6}:{(41,1),(45,1),(99,1),(100,1),(103,1),(182,1)}
        68:{2,4}:{(42,1),(43,1),(103,1)}
        69:{1,3,5}:{(43,1),(45,1),(99,1),(103,1),(104,1),(187,1)}
        70:{1,3,7}:{(44,1),(45,1),(100,1),(105,1)}
        71:{1,2,6}:{(45,1),(104,1),(105,1),(264,1)}
        72:{1,2,4,5}:{(47,1),(49,1),(106,1),(115,1),(140,1),(188,1),(198,1),(214,1),(230,1),(285,1),(349,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(50,1),(107,1),(116,1),(280,1),(292,1),(352,1)}
        74:{1,3,6}:{(47,1),(106,1),(107,1),(108,1),(293,1)}
        75:{1,4,5,6}:{(49,1),(52,1),(110,1),(111,1),(113,1),(135,1),(207,1),(297,1),(358,1),(407,1)}
        76:{1,5,6}:{(48,1),(54,1),(113,1)}
        77:{1,4,5,7}:{(48,1),(49,1),(50,1),(55,1),(113,1),(114,1),(139,1)}
        78:{1,3,5}:{(49,1),(51,1),(56,1),(115,1)}
        79:{1,3,4,7}:{(50,1),(51,1),(57,1),(107,1),(114,1),(116,1)}
        80:{2,4,6}:{(51,1),(108,1),(115,1),(116,1),(117,1),(188,1),(199,1)}
        81:{2,5,6,7}:{(54,1),(59,1),(109,1),(118,1),(120,1),(290,1),(362,1),(411,1)}
        82:{2,4,5,7}:{(52,1),(60,1),(110,1),(120,1),(121,1),(134,1),(195,1),(204,1),(206,1),(290,1),(292,1),(362,1),(408,1)}
        83:{3,5,6}:{(52,1),(56,1),(119,1),(121,1),(126,1),(293,1),(365,1),(410,1)}
        84:{3,5,6}:{(53,1),(54,1),(123,1),(126,1)}
        85:{4,5,7}:{(53,1),(123,1),(408,1),(412,1)}
        86:{3,4,5}:{(56,1),(119,1),(125,1),(300,1),(365,1),(412,1)}
        87:{2,4,6}:{(54,1),(55,1),(63,1),(113,1),(123,1),(126,1),(138,1),(199,1)}
        88:{3,5,7}:{(55,1),(56,1),(57,1),(126,1)}
        89:{2,3,5}:{(56,1),(58,1),(65,1),(115,1),(125,1),(128,1),(365,1),(370,1),(374,1),(404,1)}
        90:{2,3,4,7}:{(57,1),(58,1),(66,1),(116,1),(127,1),(129,1),(206,1),(218,1),(219,1),(278,1),(302,1),(364,1),(373,1),(403,1)}
        91:{1,3,4,6}:{(58,1),(67,1),(117,1),(128,1),(129,1),(130,1),(142,1),(143,1),(203,1),(207,1),(215,1),(220,1),(230,1),(276,1),(279,1),(289,1),(293,1),(300,1),(313,1),(361,1),(369,1),(372,1),(402,1)}
        92:{1,3,4,6}:{(61,1),(62,1),(119,1),(131,1),(132,1),(207,1),(220,1),(293,1)}
        93:{1,4,6,7}:{(59,1),(60,1),(63,1),(120,1),(133,1),(282,1),(377,1)}
        94:{1,3,5,7}:{(60,1),(61,1),(121,1),(131,1),(133,1),(134,1)}
        95:{2,5,6}:{(61,1),(65,1),(132,1),(134,1),(135,1),(138,1),(374,1),(414,1)}
        96:{2,4,5}:{(62,1),(65,1),(68,1),(132,1),(136,1),(137,1),(226,1),(312,1),(374,1)}
        97:{1,3,6}:{(63,1),(64,1),(126,1),(138,1)}
        98:{2,5,7}:{(64,1),(65,1),(66,1),(138,1),(139,1)}
        99:{1,5}:{(65,1),(67,1)}
       100:{1,4,7}:{(66,1),(67,1),(70,1),(139,1)}
       101:{1,2,4,6}:{(67,1),(71,1),(130,1),(140,1),(141,1),(142,1),(144,1),(228,1),(230,1),(313,1),(349,1),(351,1),(402,1)}
       102:{2,3,4}:{(68,1),(136,1),(143,1),(232,1),(300,1),(312,1)}
       103:{1,4}:{(68,1),(69,1)}
       104:{1,2,5}:{(69,1),(71,1),(144,1),(226,1)}
       105:{1,2,7}:{(70,1),(71,1),(304,1)}
       106:{1,3,5}:{(72,1),(74,1),(145,1),(146,1),(259,1),(378,1)}
       107:{1,3,7}:{(73,1),(74,1),(147,1),(330,1)}
       108:{2,3,6}:{(74,1),(80,1),(146,1),(147,1),(148,1),(317,1)}
       109:{1,5,6,7}:{(76,1),(81,1),(150,1),(328,1),(419,1)}
       110:{1,4,5,7}:{(75,1),(82,1),(150,1),(151,1),(178,1),(251,1),(328,1)}
       111:{1,3,5,6}:{(75,1),(78,1),(83,1),(149,1),(151,1),(152,1),(154,1),(384,1),(418,1)}
       112:{1,3,4,5}:{(78,1),(86,1),(145,1),(149,1),(153,1),(168,1),(243,1),(259,1),(325,1),(384,1)}
       113:{1,4,6}:{(76,1),(77,1),(87,1),(154,1),(182,1)}
       114:{1,3,5,7}:{(77,1),(78,1),(79,1),(88,1),(154,1),(155,1)}
       115:{2,5}:{(78,1),(80,1),(156,1)}
       116:{2,4,7}:{(79,1),(80,1),(147,1),(155,1),(157,1)}
       117:{1,4,6}:{(80,1),(148,1),(156,1),(157,1),(234,1),(245,1)}
       118:{3,5,6,7}:{(81,1),(84,1),(159,1),(162,1),(249,1),(389,1),(421,1)}
       119:{3,4,6}:{(83,1),(86,1),(160,1),(161,1),(394,1)}
       120:{2,4,6,7}:{(81,1),(82,1),(87,1),(93,1),(150,1),(159,1),(162,1),(177,1),(240,1),(393,1)}
       121:{3,5,7}:{(82,1),(83,1),(160,1),(162,1),(330,1)}
       122:{2,3,5,6}:{(83,1),(89,1),(95,1),(152,1),(161,1),(163,1),(164,1),(169,1),(174,1),(237,1),(256,1)}
       123:{4,6}:{(84,1),(85,1)}
       124:{3,4,5,7}:{(85,1),(86,1),(88,1),(160,1),(166,1),(167,1),(249,1),(337,1),(391,1),(395,1),(420,1)}
       125:{2,4,5}:{(86,1),(89,1),(161,1),(168,1),(262,1)}
       126:{3,6}:{(87,1),(88,1)}
       127:{2,3,5,7}:{(88,1),(89,1),(90,1),(98,1),(155,1),(167,1),(169,1),(170,1),(391,1),(398,1),(417,1)}
       128:{1,3,5}:{(89,1),(91,1),(99,1),(156,1),(168,1),(171,1),(259,1),(348,1),(388,1),(395,1),(397,1),(416,1)}
       129:{1,3,4,7}:{(90,1),(91,1),(100,1),(157,1),(170,1),(172,1),(185,1),(248,1),(251,1),(263,1),(274,1),(316,1),(327,1),(330,1),(337,1),(396,1),(415,1)}
       130:{2,4,6}:{(91,1),(171,1),(172,1),(173,1),(186,1),(260,1),(262,1),(264,1),(314,1),(317,1)}
       131:{1,3,4,7}:{(92,1),(94,1),(160,1),(175,1),(251,1),(263,1),(330,1)}
       132:{2,4,6}:{(92,1),(95,1),(96,1),(174,1),(175,1),(176,1),(264,1)}
       133:{1,3,6,7}:{(93,1),(94,1),(97,1),(162,1),(177,1),(399,1)}
       134:{2,5,7}:{(94,1),(95,1),(175,1),(177,1),(178,1)}
       135:{1,5,6}:{(95,1),(99,1),(176,1),(178,1),(182,1),(397,1),(422,1)}
       136:{2,3,5}:{(96,1),(102,1),(174,1),(180,1),(259,1)}
       137:{1,4,5}:{(96,1),(99,1),(103,1),(176,1),(180,1),(347,1),(397,1)}
       138:{2,6}:{(97,1),(98,1),(182,1)}
       139:{1,5,7}:{(98,1),(99,1),(100,1),(182,1)}
       140:{1,2,5}:{(99,1),(101,1),(171,1),(184,1),(348,1),(416,1)}
       141:{1,2,4,7}:{(100,1),(101,1),(105,1),(172,1),(183,1),(185,1),(274,1),(379,1),(415,1)}
       142:{1,3,6}:{(101,1),(173,1),(184,1),(185,1),(187,1),(378,1)}
       143:{1,3,4}:{(102,1),(103,1),(180,1),(186,1),(187,1),(275,1),(347,1)}
       144:{1,2,4}:{(103,1),(104,1),(186,1),(187,1)}
       145:{1,3,4}:{(106,1),(188,1),(230,1),(300,1)}
       146:{2,3,5}:{(106,1),(108,1),(115,1),(188,1),(189,1),(285,1),(350,1)}
       147:{2,3,7}:{(107,1),(108,1),(116,1),(190,1),(352,1)}
       148:{1,3,6}:{(108,1),(117,1),(189,1),(190,1),(191,1)}
       149:{1,3,4,6}:{(111,1),(112,1),(119,1),(192,1),(193,1),(207,1),(279,1),(293,1)}
       150:{1,4,6,7}:{(109,1),(110,1),(113,1),(120,1),(194,1),(223,1),(407,1)}
       151:{1,3,5,7}:{(110,1),(111,1),(121,1),(192,1),(194,1),(195,1)}
       152:{2,5,6}:{(111,1),(115,1),(193,1),(195,1),(196,1),(199,1),(404,1),(424,1)}
       153:{2,4,5}:{(112,1),(115,1),(188,1),(193,1),(197,1),(198,1),(285,1),(360,1),(404,1)}
       154:{1,3,6}:{(113,1),(114,1),(126,1),(199,1)}
       155:{2,5,7}:{(114,1),(115,1),(116,1),(199,1),(200,1)}
       156:{1,5}:{(115,1),(117,1)}
       157:{1,4,7}:{(116,1),(117,1),(190,1),(200,1)}
       158:{1,2,4,6}:{(117,1),(130,1),(191,1),(201,1),(202,1),(203,1),(231,1),(277,1),(287,1),(289,1),(303,1),(361,1),(372,1)}
       159:{4,6,7}:{(118,1),(123,1),(204,1),(408,1),(425,1)}
       160:{3,4,7}:{(119,1),(121,1),(206,1),(408,1)}
       161:{2,4,6}:{(119,1),(122,1),(125,1),(206,1),(207,1)}
       162:{3,6,7}:{(120,1),(121,1),(126,1),(410,1)}
       163:{2,3,5,7}:{(121,1),(122,1),(134,1),(195,1),(206,1),(208,1),(209,1),(219,1),(278,1),(290,1)}
       164:{1,3,5,6}:{(122,1),(128,1),(135,1),(196,1),(207,1),(209,1),(210,1),(215,1),(220,1),(279,1),(293,1),(297,1),(368,1)}
       165:{4,5,6}:{(123,1),(204,1),(211,1),(412,1),(425,1)}
       166:{3,4,6}:{(123,1),(124,1),(126,1),(211,1),(212,1),(410,1),(425,1)}
       167:{2,4,5,7}:{(124,1),(125,1),(127,1),(206,1),(212,1),(213,1),(290,1),(302,1),(370,1)}
       168:{1,4,5}:{(125,1),(128,1),(207,1),(214,1),(230,1),(289,1),(412,1)}
       169:{2,3,6}:{(126,1),(127,1),(138,1),(199,1),(212,1),(215,1),(410,1),(414,1),(424,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(129,1),(139,1),(200,1),(213,1),(215,1),(216,1),(299,1),(413,1),(423,1)}
       171:{2,5}:{(128,1),(130,1)}
       172:{2,4,7}:{(129,1),(130,1),(216,1),(218,1),(304,1),(352,1)}
       173:{2,3,6}:{(130,1),(142,1),(203,1),(217,1),(218,1),(232,1),(293,1),(350,1)}
       174:{2,3,6}:{(132,1),(136,1),(219,1),(220,1),(293,1)}
       175:{2,4,7}:{(131,1),(132,1),(134,1),(219,1),(221,1),(304,1)}
       176:{1,4,6}:{(132,1),(135,1),(137,1),(220,1),(221,1)}
       177:{2,6,7}:{(133,1),(134,1),(138,1),(223,1),(414,1)}
       178:{1,5,7}:{(134,1),(135,1),(221,1),(223,1)}
       179:{1,2,5,6}:{(135,1),(140,1),(210,1),(222,1),(224,1),(225,1),(228,1),(351,1),(374,1),(414,1)}
       180:{1,3,5}:{(136,1),(137,1),(143,1),(220,1),(226,1)}
       181:{1,2,4,5}:{(137,1),(140,1),(144,1),(214,1),(222,1),(226,1),(227,1),(230,1),(310,1),(312,1),(374,1)}
       182:{1,6}:{(138,1),(139,1)}
       183:{1,2,5,7}:{(139,1),(140,1),(141,1),(216,1),(228,1),(229,1),(423,1)}
       184:{1,3,5}:{(140,1),(142,1),(217,1),(230,1)}
       185:{1,3,7}:{(141,1),(142,1),(218,1)}
       186:{2,4}:{(143,1),(226,1),(232,1)}
       187:{1,3}:{(144,1),(232,1)}
       188:{2,4}:{(145,1),(146,1),(234,1)}
       189:{1,3,5}:{(146,1),(148,1),(156,1),(234,1),(235,1),(315,1)}
       190:{1,3,7}:{(147,1),(148,1),(157,1),(236,1)}
       191:{1,2,6}:{(148,1),(235,1),(236,1),(317,1)}
       192:{1,3,4,7}:{(149,1),(151,1),(160,1),(238,1),(251,1),(316,1),(330,1)}
       193:{2,4,6}:{(149,1),(152,1),(153,1),(237,1),(238,1),(239,1),(317,1)}
       194:{1,3,6,7}:{(150,1),(151,1),(154,1),(162,1),(240,1),(418,1)}
       195:{2,5,7}:{(151,1),(152,1),(238,1),(240,1),(241,1)}
       196:{1,5,6}:{(152,1),(156,1),(239,1),(241,1),(245,1),(416,1),(426,1)}
       197:{2,3,5}:{(153,1),(233,1),(237,1),(243,1),(259,1)}
       198:{1,4,5}:{(153,1),(156,1),(234,1),(239,1),(243,1),(387,1),(416,1)}
       199:{2,6}:{(154,1),(155,1),(245,1)}
       200:{1,5,7}:{(155,1),(156,1),(157,1),(245,1)}
       201:{1,2,5}:{(156,1),(158,1),(171,1),(247,1),(388,1),(397,1)}
       202:{1,2,4,7}:{(157,1),(158,1),(172,1),(236,1),(246,1),(248,1),(327,1),(339,1),(396,1)}
       203:{1,3,6}:{(158,1),(173,1),(247,1),(248,1),(275,1),(315,1)}
       204:{4,5,7}:{(159,1),(165,1),(249,1)}
       205:{3,4,6,7}:{(159,1),(160,1),(162,1),(166,1),(249,1),(250,1)}
       206:{2,4,7}:{(160,1),(161,1),(163,1),(251,1)}
       207:{1,4,6}:{(161,1),(164,1),(168,1),(251,1),(252,1),(394,1)}
       208:{2,3,6,7}:{(162,1),(163,1),(169,1),(177,1),(240,1),(250,1),(253,1)}
       209:{1,3,5,7}:{(163,1),(164,1),(178,1),(241,1),(251,1),(253,1),(254,1),(263,1),(316,1),(328,1),(330,1),(389,1)}
       210:{2,5,6}:{(164,1),(171,1),(252,1),(254,1),(260,1),(264,1),(317,1)}
       211:{3,5,6}:{(165,1),(166,1),(249,1),(256,1),(395,1)}
       212:{2,4,6}:{(166,1),(167,1),(169,1),(256,1),(257,1)}
       213:{1,4,5,7}:{(167,1),(168,1),(170,1),(251,1),(257,1),(258,1),(274,1),(327,1),(328,1),(348,1),(388,1)}
       214:{2,4,5}:{(168,1),(171,1),(252,1),(259,1),(262,1)}
       215:{1,3,6}:{(169,1),(170,1),(182,1),(245,1),(257,1),(260,1),(336,1),(422,1),(426,1)}
       216:{2,5,7}:{(170,1),(171,1),(172,1),(260,1)}
       217:{2,3,5}:{(171,1),(173,1),(184,1),(247,1),(259,1),(262,1)}
       218:{2,3,7}:{(172,1),(173,1),(185,1),(248,1),(330,1)}
       219:{2,3,7}:{(174,1),(175,1),(263,1),(330,1)}
       220:{1,3,6}:{(174,1),(176,1),(180,1),(263,1),(264,1)}
       221:{1,4,7}:{(175,1),(176,1),(178,1),(263,1)}
       222:{1,2,4,6}:{(176,1),(179,1),(181,1),(252,1),(264,1),(265,1),(266,1),(269,1),(342,1)}
       223:{1,6,7}:{(177,1),(178,1),(182,1),(422,1)}
       224:{1,2,5,7}:{(178,1),(179,1),(254,1),(265,1),(267,1),(268,1),(379,1),(398,1)}
       225:{1,3,5,6}:{(179,1),(184,1),(255,1),(266,1),(268,1),(269,1),(273,1),(344,1),(348,1),(380,1),(399,1),(400,1),(416,1),(426,1)}
       226:{2,5}:{(180,1),(186,1),(264,1)}
       227:{1,3,5}:{(181,1),(187,1),(259,1),(266,1),(271,1),(272,1)}
       228:{1,2,6}:{(182,1),(183,1),(260,1),(273,1),(426,1)}
       229:{1,3,5,7}:{(183,1),(184,1),(185,1),(261,1),(273,1),(274,1),(348,1)}
       230:{1,4}:{(184,1),(262,1)}
       231:{1,2,4}:{(186,1),(270,1),(275,1),(347,1)}
       232:{2,3}:{(186,1),(187,1),(275,1)}
       233:{2,3,4}:{(188,1),(197,1),(276,1),(300,1),(350,1),(360,1)}
       234:{1,4}:{(188,1),(189,1)}
       235:{1,2,5}:{(189,1),(191,1),(277,1),(285,1)}
       236:{1,2,7}:{(190,1),(191,1),(352,1)}
       237:{2,3,6}:{(193,1),(197,1),(278,1),(279,1),(293,1)}
       238:{2,4,7}:{(192,1),(193,1),(195,1),(278,1),(280,1),(352,1)}
       239:{1,4,6}:{(193,1),(196,1),(198,1),(279,1),(280,1)}
       240:{2,6,7}:{(194,1),(195,1),(199,1),(282,1),(424,1)}
       241:{1,5,7}:{(195,1),(196,1),(280,1),(282,1)}
       242:{1,2,5,6}:{(196,1),(201,1),(210,1),(281,1),(283,1),(284,1),(287,1),(303,1),(404,1),(424,1)}
       243:{1,3,5}:{(197,1),(198,1),(276,1),(279,1),(285,1)}
       244:{1,2,4,5}:{(198,1),(201,1),(214,1),(277,1),(281,1),(285,1),(286,1),(289,1),(358,1),(360,1),(404,1)}
       245:{1,6}:{(199,1),(200,1)}
       246:{1,2,5,7}:{(200,1),(201,1),(202,1),(216,1),(287,1),(288,1),(413,1)}
       247:{1,3,5}:{(201,1),(203,1),(217,1),(289,1)}
       248:{1,3,7}:{(202,1),(203,1),(218,1)}
       249:{3,5,7}:{(204,1),(205,1),(211,1),(290,1)}
       250:{2,4,6,7}:{(205,1),(206,1),(208,1),(212,1),(290,1),(291,1)}
       251:{1,4,7}:{(206,1),(207,1),(209,1),(292,1),(408,1)}
       252:{2,4,6}:{(207,1),(210,1),(214,1),(292,1),(293,1)}
       253:{1,3,6,7}:{(208,1),(209,1),(215,1),(223,1),(282,1),(291,1),(294,1),(363,1)}
       254:{2,5,7}:{(209,1),(210,1),(292,1),(294,1),(304,1),(352,1)}
       255:{2,3,5,6}:{(210,1),(217,1),(225,1),(284,1),(293,1),(295,1),(296,1),(301,1),(305,1),(353,1),(365,1),(368,1),(370,1),(374,1),(404,1),(410,1),(411,1),(414,1),(424,1)}
       256:{2,5,6}:{(211,1),(212,1),(290,1),(297,1),(370,1)}
       257:{1,4,6}:{(212,1),(213,1),(215,1),(297,1),(298,1)}
       258:{2,4,5,7}:{(213,1),(214,1),(216,1),(292,1),(298,1),(299,1),(302,1),(362,1),(370,1),(408,1),(412,1)}
       259:{3,5}:{(214,1),(293,1),(300,1)}
       260:{2,6}:{(215,1),(216,1)}
       261:{2,3,5,7}:{(216,1),(217,1),(218,1),(229,1),(288,1),(299,1),(301,1),(302,1),(370,1)}
       262:{2,4}:{(217,1),(230,1),(289,1),(300,1)}
       263:{1,3,7}:{(219,1),(220,1),(221,1),(304,1)}
       264:{2,6}:{(220,1),(226,1),(304,1)}
       265:{1,2,4,7}:{(221,1),(222,1),(224,1),(292,1),(304,1),(306,1),(309,1),(373,1)}
       266:{1,3,6}:{(222,1),(227,1),(293,1),(305,1),(306,1)}
       267:{1,2,6,7}:{(223,1),(224,1),(228,1),(294,1),(308,1),(414,1)}
       268:{1,3,5,7}:{(224,1),(225,1),(295,1),(306,1),(308,1),(309,1),(376,1),(401,1),(423,1)}
       269:{1,4,6}:{(225,1),(230,1),(296,1),(309,1),(310,1)}
       270:{1,2,5}:{(226,1),(231,1),(303,1),(311,1)}
       271:{2,3,5}:{(226,1),(227,1),(232,1),(305,1),(311,1),(312,1),(374,1)}
       272:{1,3,4}:{(227,1),(230,1),(300,1),(312,1)}
       273:{1,3,6}:{(228,1),(229,1),(301,1),(313,1)}
       274:{1,4,7}:{(229,1),(230,1),(302,1),(313,1)}
       275:{1,3}:{(231,1),(232,1)}
       276:{1,3,4}:{(233,1),(234,1),(243,1),(314,1),(315,1),(378,1),(387,1)}
       277:{1,2,4}:{(234,1),(235,1),(314,1),(315,1)}
       278:{2,3,7}:{(237,1),(238,1),(316,1),(330,1)}
       279:{1,3,6}:{(237,1),(239,1),(243,1),(316,1),(317,1)}
       280:{1,4,7}:{(238,1),(239,1),(241,1),(316,1)}
       281:{1,2,4,6}:{(239,1),(242,1),(244,1),(252,1),(317,1),(318,1),(319,1),(322,1),(382,1)}
       282:{1,6,7}:{(240,1),(241,1),(245,1),(426,1)}
       283:{1,2,5,7}:{(241,1),(242,1),(254,1),(318,1),(320,1),(321,1),(339,1),(417,1)}
       284:{1,3,5,6}:{(242,1),(247,1),(255,1),(319,1),(321,1),(322,1),(326,1),(340,1),(384,1),(388,1),(397,1),(418,1),(419,1),(422,1)}
       285:{2,5}:{(243,1),(314,1),(317,1)}
       286:{1,3,5}:{(244,1),(259,1),(315,1),(319,1),(324,1),(325,1)}
       287:{1,2,6}:{(245,1),(246,1),(260,1),(326,1),(422,1)}
       288:{1,3,5,7}:{(246,1),(247,1),(248,1),(261,1),(326,1),(327,1),(388,1)}
       289:{1,4}:{(247,1),(262,1)}
       290:{2,5,7}:{(249,1),(250,1),(256,1),(328,1)}
       291:{1,4,6,7}:{(250,1),(251,1),(253,1),(257,1),(328,1),(329,1)}
       292:{2,4,7}:{(251,1),(252,1),(254,1),(330,1)}
       293:{3,6}:{(252,1),(259,1),(330,1)}
       294:{2,6,7}:{(253,1),(254,1),(260,1)}
       295:{2,3,5,7}:{(254,1),(255,1),(268,1),(321,1),(330,1),(332,1),(333,1),(341,1),(381,1),(389,1),(391,1),(392,1),(398,1),(417,1)}
       296:{2,4,6}:{(255,1),(262,1),(269,1),(322,1),(331,1),(333,1),(334,1),(394,1)}
       297:{1,5,6}:{(256,1),(257,1),(328,1),(335,1),(348,1),(388,1)}
       298:{2,4,6}:{(257,1),(258,1),(260,1),(335,1),(336,1),(394,1)}
       299:{3,5,7}:{(258,1),(259,1),(330,1),(336,1),(337,1),(395,1)}
       300:{3,4}:{(259,1),(262,1)}
       301:{2,3,6}:{(260,1),(261,1),(273,1),(326,1),(336,1),(338,1)}
       302:{2,4,7}:{(261,1),(262,1),(274,1),(327,1),(337,1),(338,1)}
       303:{1,2,6}:{(264,1),(270,1),(339,1),(340,1)}
       304:{2,7}:{(263,1),(264,1)}
       305:{2,3,6}:{(264,1),(266,1),(271,1),(340,1),(341,1),(342,1)}
       306:{1,3,7}:{(265,1),(266,1),(330,1),(341,1)}
       307:{1,3,4,6}:{(266,1),(269,1),(272,1),(331,1),(342,1),(343,1),(344,1),(399,1)}
       308:{1,3,6,7}:{(267,1),(268,1),(273,1),(332,1),(345,1),(399,1),(426,1)}
       309:{1,4,7}:{(268,1),(269,1),(333,1)}
       310:{1,4,5}:{(269,1),(334,1),(344,1),(348,1),(416,1)}
       311:{1,3,5}:{(270,1),(271,1),(275,1),(340,1),(347,1),(397,1)}
       312:{2,4}:{(271,1),(272,1),(347,1)}
       313:{1,4,6}:{(273,1),(274,1),(338,1),(348,1)}
       314:{2,4}:{(276,1),(285,1),(350,1)}
       315:{1,3}:{(277,1),(350,1)}
       316:{1,3,7}:{(278,1),(279,1),(280,1),(352,1)}
       317:{2,6}:{(279,1),(285,1),(352,1)}
       318:{1,2,4,7}:{(280,1),(281,1),(283,1),(292,1),(352,1),(354,1),(357,1),(403,1)}
       319:{1,3,6}:{(281,1),(286,1),(293,1),(353,1),(354,1)}
       320:{1,2,6,7}:{(282,1),(283,1),(287,1),(294,1),(356,1),(424,1)}
       321:{1,3,5,7}:{(283,1),(284,1),(295,1),(354,1),(356,1),(357,1),(371,1),(406,1),(413,1)}
       322:{1,4,6}:{(284,1),(289,1),(296,1),(357,1),(358,1)}
       323:{1,2,5}:{(285,1),(349,1),(351,1),(359,1)}
       324:{2,3,5}:{(285,1),(286,1),(350,1),(353,1),(359,1),(360,1),(404,1)}
       325:{1,3,4}:{(286,1),(289,1),(300,1),(360,1)}
       326:{1,3,6}:{(287,1),(288,1),(301,1),(361,1)}
       327:{1,4,7}:{(288,1),(289,1),(302,1),(361,1)}
       328:{1,5,7}:{(290,1),(291,1),(297,1),(362,1)}
       329:{2,4,6,7}:{(291,1),(292,1),(294,1),(298,1),(362,1),(363,1),(408,1)}
       330:{3,7}:{(292,1),(293,1)}
       331:{3,4,6}:{(293,1),(296,1),(300,1),(364,1),(365,1),(410,1)}
       332:{2,3,6,7}:{(294,1),(295,1),(301,1),(308,1),(356,1),(363,1),(366,1),(410,1),(414,1),(424,1)}
       333:{2,4,7}:{(295,1),(296,1),(309,1),(357,1),(364,1),(408,1)}
       334:{2,4,5}:{(296,1),(310,1),(358,1),(365,1),(370,1),(374,1),(404,1),(412,1)}
       335:{2,5,6}:{(297,1),(298,1),(362,1),(368,1),(370,1)}
       336:{3,6}:{(298,1),(299,1)}
       337:{3,4,7}:{(299,1),(300,1),(302,1),(369,1),(408,1)}
       338:{2,4,6}:{(301,1),(302,1),(313,1),(361,1),(369,1),(370,1)}
       339:{1,2,7}:{(303,1),(304,1),(371,1)}
       340:{1,3,6}:{(303,1),(305,1),(311,1),(371,1),(372,1)}
       341:{2,3,7}:{(304,1),(305,1),(306,1),(371,1),(373,1)}
       342:{2,4,6}:{(305,1),(307,1),(312,1),(372,1),(373,1),(374,1),(414,1)}
       343:{1,3,4,7}:{(306,1),(307,1),(309,1),(364,1),(373,1),(375,1)}
       344:{1,3,5}:{(307,1),(310,1),(365,1),(374,1)}
       345:{1,4,6,7}:{(308,1),(309,1),(313,1),(366,1),(376,1),(377,1)}
       346:{1,4,5,7}:{(309,1),(310,1),(367,1),(375,1),(376,1),(377,1),(423,1)}
       347:{1,4}:{(311,1),(312,1)}
       348:{1,5}:{(313,1),(370,1)}
       349:{1,2,4}:{(314,1),(323,1),(378,1),(387,1)}
       350:{2,3}:{(314,1),(315,1),(378,1)}
       351:{1,2,6}:{(317,1),(323,1),(379,1),(380,1)}
       352:{2,7}:{(316,1),(317,1)}
       353:{2,3,6}:{(317,1),(319,1),(324,1),(380,1),(381,1),(382,1)}
       354:{1,3,7}:{(318,1),(319,1),(330,1),(381,1)}
       355:{1,3,4,6}:{(319,1),(322,1),(325,1),(331,1),(382,1),(383,1),(384,1),(418,1)}
       356:{1,3,6,7}:{(320,1),(321,1),(326,1),(332,1),(385,1),(418,1),(422,1)}
       357:{1,4,7}:{(321,1),(322,1),(333,1)}
       358:{1,4,5}:{(322,1),(334,1),(384,1),(388,1),(397,1)}
       359:{1,3,5}:{(323,1),(324,1),(378,1),(380,1),(387,1),(416,1)}
       360:{2,4}:{(324,1),(325,1),(387,1)}
       361:{1,4,6}:{(326,1),(327,1),(338,1),(388,1)}
       362:{2,5,7}:{(328,1),(329,1),(335,1),(389,1)}
       363:{3,6,7}:{(329,1),(330,1),(336,1),(389,1)}
       364:{3,4,7}:{(330,1),(331,1),(333,1),(391,1)}
       365:{3,5}:{(331,1),(334,1)}
       366:{2,4,6,7}:{(332,1),(333,1),(338,1),(345,1),(385,1),(390,1),(392,1),(393,1)}
       367:{2,4,5,7}:{(333,1),(334,1),(346,1),(386,1),(391,1),(392,1),(393,1),(398,1),(417,1),(420,1)}
       368:{3,5,6}:{(335,1),(336,1),(389,1),(394,1),(395,1)}
       369:{3,4,6}:{(336,1),(337,1),(338,1),(394,1),(395,1)}
       370:{2,5}:{(338,1),(348,1),(388,1),(395,1)}
       371:{1,3,7}:{(339,1),(340,1),(341,1),(396,1)}
       372:{1,4,6}:{(340,1),(342,1),(347,1),(396,1),(397,1),(422,1)}
       373:{2,4,7}:{(341,1),(342,1),(343,1),(396,1),(398,1)}
       374:{2,5}:{(342,1),(344,1),(397,1)}
       375:{1,3,5,7}:{(343,1),(344,1),(346,1),(391,1),(398,1),(399,1)}
       376:{1,5,7}:{(345,1),(348,1),(392,1),(400,1)}
       377:{1,4,6}:{(346,1),(393,1),(399,1),(400,1),(426,1)}
       378:{1,3}:{(349,1),(350,1)}
       379:{1,2,7}:{(351,1),(352,1),(401,1)}
       380:{1,3,6}:{(351,1),(353,1),(359,1),(401,1),(402,1)}
       381:{2,3,7}:{(352,1),(353,1),(354,1),(401,1),(403,1)}
       382:{2,4,6}:{(353,1),(355,1),(360,1),(402,1),(403,1),(404,1),(424,1)}
       383:{1,3,4,7}:{(354,1),(355,1),(357,1),(364,1),(403,1),(405,1)}
       384:{1,3,5}:{(355,1),(358,1),(365,1),(404,1)}
       385:{1,4,6,7}:{(356,1),(357,1),(361,1),(366,1),(406,1),(407,1)}
       386:{1,4,5,7}:{(357,1),(358,1),(367,1),(405,1),(406,1),(407,1),(413,1)}
       387:{1,4}:{(359,1),(360,1)}
       388:{1,5}:{(361,1),(370,1)}
       389:{3,5,7}:{(362,1),(363,1),(368,1),(408,1)}
       390:{3,4,6,7}:{(363,1),(364,1),(366,1),(369,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(364,1),(365,1),(367,1),(410,1)}
       392:{2,5,7}:{(366,1),(370,1),(376,1),(406,1),(409,1),(411,1)}
       393:{2,4,6}:{(367,1),(377,1),(407,1),(410,1),(411,1),(414,1),(424,1),(425,1)}
       394:{4,6}:{(368,1),(408,1),(412,1)}
       395:{3,5}:{(369,1),(370,1),(412,1)}
       396:{1,4,7}:{(371,1),(372,1),(373,1),(413,1)}
       397:{1,5}:{(372,1),(374,1)}
       398:{2,5,7}:{(373,1),(374,1),(375,1),(413,1),(414,1)}
       399:{1,3,6}:{(375,1),(377,1),(410,1),(414,1)}
       400:{1,5,6}:{(376,1),(377,1),(411,1)}
       401:{1,3,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{1,4,6}:{(380,1),(382,1),(387,1),(415,1),(416,1),(426,1)}
       403:{2,4,7}:{(381,1),(382,1),(383,1),(415,1),(417,1)}
       404:{2,5}:{(382,1),(384,1),(416,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(386,1),(391,1),(417,1),(418,1)}
       406:{1,5,7}:{(385,1),(388,1),(392,1),(419,1)}
       407:{1,4,6}:{(386,1),(393,1),(418,1),(419,1),(422,1)}
       408:{4,7}:{(389,1),(394,1)}
       409:{3,5,7}:{(390,1),(392,1),(395,1),(420,1),(421,1)}
       410:{3,6}:{(391,1),(393,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(421,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,4,7}:{(401,1),(402,1),(403,1),(423,1)}
       416:{1,5}:{(402,1),(404,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(407,1),(410,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{4,5,7}:{(408,1),(409,1),(412,1),(425,1)}
       421:{3,5,6}:{(409,1),(410,1),(411,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 279 :   0:{1,2,4}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(5,1),(6,1),(15,1),(99,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1),(11,1),(32,1)}
         4:{2,3}:{(1,1),(7,1),(9,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(35,1),(83,1),(90,1)}
         6:{1,2,6}:{(2,1),(12,1),(13,1),(26,1)}
         7:{2,4}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,3,5}:{(3,1),(15,1),(16,1),(17,1),(39,1)}
         9:{1,3}:{(4,1),(14,1),(18,1)}
        10:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(39,1),(50,1),(69,1),(77,1)}
        11:{1,4}:{(5,1),(20,1)}
        12:{1,3,6}:{(5,1),(6,1),(21,1),(22,1),(23,1),(94,1)}
        13:{1,2,7}:{(6,1),(23,1),(41,1)}
        14:{1,4}:{(7,1),(9,1),(24,1)}
        15:{2,5}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,4,5}:{(8,1),(11,1),(25,1),(27,1),(35,1),(83,1)}
        17:{1,3,6}:{(8,1),(26,1),(27,1),(28,1),(56,1)}
        18:{1,2}:{(9,1)}
        19:{1,3,5}:{(9,1),(10,1),(24,1),(29,1),(30,1),(31,1),(60,1),(63,1)}
        20:{2,4}:{(10,1),(11,1),(30,1),(32,1)}
        21:{2,3,6}:{(10,1),(12,1),(26,1),(31,1),(33,1),(34,1),(56,1),(84,1)}
        22:{1,4,6}:{(11,1),(12,1),(33,1),(35,1),(36,1),(68,1)}
        23:{1,3,7}:{(12,1),(13,1),(34,1),(36,1),(101,1)}
        24:{1,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(15,1),(16,1),(20,1),(37,1),(39,1),(40,1),(50,1),(69,1),(80,1)}
        26:{2,6}:{(15,1),(17,1),(38,1),(41,1)}
        27:{1,4,6}:{(16,1),(17,1),(40,1),(42,1),(43,1),(94,1)}
        28:{1,3,7}:{(17,1),(41,1),(43,1),(74,1)}
        29:{1,2,5}:{(18,1),(19,1),(44,1),(45,1),(69,1)}
        30:{1,4}:{(19,1),(20,1)}
        31:{1,3,6}:{(19,1),(21,1),(38,1),(45,1),(47,1),(48,1)}
        32:{3,4}:{(20,1),(39,1)}
        33:{2,4,6}:{(20,1),(21,1),(22,1),(47,1),(49,1),(50,1),(51,1),(82,1)}
        34:{2,3,7}:{(21,1),(23,1),(41,1),(48,1),(51,1),(74,1),(95,1)}
        35:{1,5}:{(22,1),(50,1)}
        36:{1,4,7}:{(22,1),(23,1),(51,1),(52,1)}
        37:{1,4,5}:{(24,1),(25,1),(30,1),(53,1),(54,1),(63,1)}
        38:{1,6}:{(24,1),(26,1),(55,1)}
        39:{3,5}:{(25,1),(32,1),(56,1)}
        40:{2,4,6}:{(25,1),(26,1),(27,1),(54,1),(56,1),(57,1),(58,1),(84,1),(87,1)}
        41:{2,7}:{(26,1),(28,1),(55,1)}
        42:{1,5,6}:{(27,1),(35,1),(57,1),(59,1),(68,1)}
        43:{1,4,7}:{(27,1),(28,1),(58,1),(59,1),(101,1)}
        44:{1,2,4}:{(29,1),(30,1),(60,1),(62,1)}
        45:{1,2,6}:{(29,1),(31,1),(61,1),(84,1)}
        46:{1,3,4}:{(30,1),(32,1),(53,1),(60,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(33,1),(63,1),(64,1),(91,1)}
        48:{1,3,7}:{(31,1),(34,1),(55,1),(61,1),(64,1)}
        49:{3,4,6}:{(32,1),(33,1),(56,1),(65,1),(66,1),(87,1),(93,1)}
        50:{2,5}:{(33,1),(35,1),(63,1),(65,1)}
        51:{2,4,7}:{(33,1),(34,1),(36,1),(64,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{1,3,5}:{(37,1),(39,1),(46,1),(69,1),(70,1)}
        54:{1,4,6}:{(37,1),(38,1),(40,1),(70,1),(71,1),(72,1)}
        55:{1,7}:{(38,1),(41,1)}
        56:{3,6}:{(39,1),(40,1),(74,1)}
        57:{2,5,6}:{(40,1),(42,1),(50,1),(71,1),(73,1),(75,1),(82,1)}
        58:{2,4,7}:{(40,1),(41,1),(43,1),(72,1),(74,1),(75,1),(95,1),(97,1)}
        59:{1,5,7}:{(42,1),(43,1),(75,1),(76,1)}
        60:{1,3}:{(44,1),(77,1)}
        61:{1,2,7}:{(45,1),(48,1),(95,1)}
        62:{2,4}:{(46,1),(69,1),(77,1),(78,1)}
        63:{1,5}:{(47,1),(50,1)}
        64:{1,4,7}:{(47,1),(48,1),(51,1),(79,1)}
        65:{3,5}:{(49,1),(50,1),(80,1)}
        66:{3,4,7}:{(49,1),(51,1),(74,1),(81,1),(97,1)}
        67:{2,5,7}:{(50,1),(51,1),(52,1),(79,1),(81,1),(82,1)}
        68:{1,6}:{(52,1),(82,1)}
        69:{2,5}:{(53,1),(62,1),(83,1),(84,1)}
        70:{1,3,6}:{(53,1),(54,1),(56,1),(84,1),(85,1)}
        71:{1,5,6}:{(54,1),(57,1),(63,1),(86,1),(91,1)}
        72:{1,4,7}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        73:{3,5,6}:{(56,1),(57,1),(65,1),(87,1),(88,1),(93,1),(103,1)}
        74:{3,7}:{(56,1),(58,1)}
        75:{2,5,7}:{(57,1),(58,1),(59,1),(86,1),(88,1),(89,1)}
        76:{1,6,7}:{(59,1),(68,1),(89,1)}
        77:{2,3}:{(60,1),(62,1),(90,1)}
        78:{1,4}:{(62,1),(83,1),(90,1)}
        79:{1,5,7}:{(63,1),(64,1),(67,1),(91,1)}
        80:{4,5}:{(65,1),(87,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        82:{2,6}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,5}:{(69,1),(78,1),(94,1)}
        84:{2,6}:{(69,1),(70,1),(94,1),(95,1)}
        85:{1,3,7}:{(70,1),(72,1),(74,1),(95,1)}
        86:{1,5,7}:{(71,1),(72,1),(75,1),(96,1)}
        87:{4,6}:{(73,1),(80,1),(97,1)}
        88:{3,5,7}:{(73,1),(74,1),(75,1),(97,1),(98,1),(104,1)}
        89:{2,6,7}:{(75,1),(76,1),(82,1),(96,1),(98,1)}
        90:{1,3}:{(77,1),(78,1),(99,1)}
        91:{1,6}:{(79,1),(82,1)}
        92:{4,5,7}:{(80,1),(81,1),(97,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(82,1),(100,1)}
        94:{1,6}:{(83,1),(84,1),(101,1)}
        95:{2,7}:{(84,1),(85,1),(101,1)}
        96:{1,6,7}:{(86,1),(89,1),(91,1)}
        97:{4,7}:{(87,1),(88,1)}
        98:{3,6,7}:{(88,1),(89,1),(93,1),(102,1)}
        99:{1,2}:{(90,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(94,1),(95,1)}
       102:{4,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 280 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(31,1),(34,1),(59,1),(64,1),(78,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(78,1),(114,1),(121,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(11,1),(36,1),(40,1),(46,1),(56,1),(90,1),(92,1),(93,1),(95,1),(101,1),(127,1),(130,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(11,1),(12,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(12,1),(14,1),(85,1)}
         5:{2,4,7}:{(1,1),(10,1),(11,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(12,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(27,1),(63,1),(64,1),(79,1),(108,1),(113,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(22,1),(66,1),(80,1),(114,1),(121,1),(143,1),(146,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(22,1),(24,1),(28,1),(60,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(121,1),(150,1),(171,1)}
        11:{2,5,7}:{(3,1),(5,1),(27,1),(28,1),(33,1),(163,1),(164,1)}
        12:{1,3,6}:{(3,1),(4,1),(22,1),(28,1)}
        13:{1,4,6,7}:{(4,1),(23,1),(29,1),(31,1),(78,1),(109,1),(144,1)}
        14:{1,5,6}:{(4,1),(24,1),(31,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(27,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(28,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(36,1),(37,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(37,1),(39,1),(50,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(95,1),(98,1),(154,1),(158,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(11,1),(36,1),(40,1),(42,1),(43,1),(49,1),(81,1),(92,1),(125,1)}
        22:{3,6}:{(8,1),(9,1)}
        23:{2,4,6,7}:{(9,1),(13,1),(38,1),(44,1),(46,1),(51,1),(86,1),(95,1),(101,1),(130,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(45,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,5,7}:{(11,1),(15,1),(50,1),(55,1),(169,1),(170,1)}
        28:{2,6}:{(11,1),(12,1),(50,1)}
        29:{1,3,6,7}:{(12,1),(13,1),(44,1),(51,1),(53,1),(156,1)}
        30:{1,3,5,6}:{(12,1),(14,1),(17,1),(45,1),(52,1),(53,1),(54,1),(102,1)}
        31:{1,5,7}:{(13,1),(14,1),(46,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(113,1),(114,1),(118,1),(146,1)}
        36:{2,5,7}:{(18,1),(57,1),(59,1),(60,1),(107,1),(122,1),(150,1)}
        37:{1,3,6}:{(18,1),(19,1),(22,1),(60,1)}
        38:{1,4,6,7}:{(19,1),(23,1),(61,1),(63,1),(74,1),(113,1),(119,1)}
        39:{1,5,6}:{(19,1),(24,1),(63,1),(116,1)}
        40:{2,4,7}:{(20,1),(21,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(22,1),(65,1),(66,1),(70,1)}
        42:{1,3,5,7}:{(21,1),(25,1),(27,1),(59,1),(64,1),(67,1),(68,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        43:{2,3,6}:{(21,1),(22,1),(28,1),(60,1),(65,1),(68,1)}
        44:{3,6,7}:{(22,1),(23,1),(69,1),(121,1),(146,1)}
        45:{3,5,6}:{(22,1),(24,1),(66,1),(69,1),(70,1),(147,1)}
        46:{2,5,7}:{(23,1),(24,1),(31,1),(63,1),(69,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{1,6}:{(27,1),(28,1)}
        51:{2,6,7}:{(28,1),(29,1),(74,1),(76,1),(164,1)}
        52:{2,5,6}:{(28,1),(30,1),(33,1),(75,1),(76,1),(77,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(69,1),(76,1),(78,1),(121,1)}
        54:{1,4,6}:{(30,1),(34,1),(70,1),(77,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(77,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(36,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(37,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,5,7}:{(36,1),(82,1),(85,1),(126,1),(138,1),(160,1)}
        60:{2,6}:{(36,1),(37,1),(85,1)}
        61:{1,3,6,7}:{(37,1),(38,1),(44,1),(86,1),(88,1),(136,1)}
        62:{1,3,5,6}:{(37,1),(39,1),(45,1),(84,1),(87,1),(88,1),(89,1),(131,1)}
        63:{1,5,7}:{(38,1),(39,1),(46,1)}
        64:{1,4,7}:{(40,1),(42,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(43,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{2,5,7}:{(42,1),(47,1),(90,1),(94,1),(96,1),(123,1),(133,1),(152,1)}
        68:{1,3,6}:{(42,1),(43,1),(50,1),(85,1),(91,1),(94,1),(132,1)}
        69:{3,5,7}:{(44,1),(45,1),(46,1),(95,1)}
        70:{4,6}:{(45,1),(93,1),(95,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(51,1),(99,1),(170,1)}
        75:{1,5,6}:{(50,1),(52,1),(55,1),(99,1),(100,1)}
        76:{2,5,7}:{(51,1),(52,1),(53,1),(99,1),(101,1)}
        77:{2,4,6}:{(52,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        78:{1,4,7}:{(53,1),(54,1),(95,1),(101,1),(160,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(100,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(146,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(59,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(60,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{1,6}:{(59,1),(60,1)}
        86:{2,6,7}:{(60,1),(61,1),(109,1),(111,1),(150,1)}
        87:{2,5,6}:{(60,1),(62,1),(107,1),(110,1),(111,1),(112,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(63,1),(69,1),(111,1),(113,1),(146,1)}
        89:{1,4,6}:{(62,1),(70,1),(108,1),(112,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(67,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(68,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{2,6}:{(67,1),(68,1)}
        95:{4,7}:{(69,1),(70,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(76,1),(119,1)}
       100:{1,4,6}:{(75,1),(77,1),(79,1),(119,1),(120,1)}
       101:{2,4,7}:{(76,1),(77,1),(78,1),(119,1),(121,1),(150,1)}
       102:{3,6}:{(77,1),(80,1),(121,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(120,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(85,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(86,1),(128,1),(160,1)}
       110:{1,5,6}:{(85,1),(87,1),(126,1),(128,1),(129,1)}
       111:{2,5,7}:{(86,1),(87,1),(88,1),(128,1),(130,1)}
       112:{2,4,6}:{(87,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       113:{1,4,7}:{(88,1),(89,1),(95,1),(130,1),(170,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(94,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{1,3,6}:{(100,1),(102,1),(103,1),(136,1),(137,1)}
       121:{3,7}:{(101,1),(102,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(112,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(111,1),(144,1)}
       129:{1,4,6}:{(110,1),(112,1),(142,1),(144,1),(145,1)}
       130:{2,4,7}:{(111,1),(112,1),(113,1),(144,1),(146,1),(164,1)}
       131:{3,6}:{(112,1),(143,1),(146,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(120,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(129,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{1,3,6}:{(129,1),(131,1),(155,1),(156,1),(157,1)}
       146:{3,7}:{(130,1),(131,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(145,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(145,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 281 :   0:{1,5,6}:{(3,1),(5,1),(6,1),(80,1),(96,1)}
         1:{1,4,5}:{(4,1),(5,1),(7,1),(54,1),(60,1),(80,1)}
         2:{1,3,4}:{(7,1),(8,1),(26,1),(31,1),(60,1),(86,1)}
         3:{2,5,6}:{(0,1),(9,1),(11,1),(12,1),(13,1),(69,1),(89,1),(91,1),(100,1)}
         4:{2,4,5}:{(1,1),(10,1),(12,1),(14,1),(19,1),(39,1),(40,1),(44,1),(69,1),(75,1),(89,1),(98,1)}
         5:{1,4,6}:{(0,1),(1,1),(12,1),(16,1),(17,1),(67,1)}
         6:{1,5,7}:{(0,1),(13,1),(17,1),(18,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(19,1)}
         8:{2,4}:{(2,1),(15,1),(19,1),(20,1),(48,1)}
         9:{1,5,6}:{(3,1),(21,1),(22,1),(80,1),(96,1)}
        10:{1,4,5}:{(4,1),(21,1),(23,1),(34,1),(60,1),(80,1)}
        11:{3,5,6}:{(3,1),(24,1),(25,1),(27,1),(55,1),(82,1),(83,1),(94,1),(102,1),(104,1)}
        12:{2,4,6}:{(3,1),(4,1),(5,1),(21,1),(24,1),(27,1),(28,1),(32,1),(52,1)}
        13:{2,5,7}:{(3,1),(6,1),(22,1),(25,1),(28,1),(29,1)}
        14:{3,5}:{(4,1),(26,1),(27,1),(86,1)}
        15:{2,3}:{(8,1),(31,1),(86,1)}
        16:{1,3,6}:{(5,1),(7,1),(27,1),(32,1),(33,1)}
        17:{1,4,7}:{(5,1),(6,1),(28,1),(33,1),(79,1)}
        18:{1,6,7}:{(6,1),(29,1),(96,1)}
        19:{2,5}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,4}:{(8,1),(31,1),(34,1)}
        21:{1,4,6}:{(9,1),(10,1),(12,1),(36,1),(37,1),(49,1)}
        22:{1,5,7}:{(9,1),(13,1),(37,1),(38,1)}
        23:{1,3,5}:{(10,1),(14,1),(35,1),(36,1),(39,1)}
        24:{4,6}:{(11,1),(40,1),(42,1),(98,1)}
        25:{3,5,7}:{(11,1),(13,1),(42,1),(43,1),(46,1),(74,1)}
        26:{3,4}:{(14,1),(44,1),(98,1)}
        27:{3,6}:{(12,1),(14,1),(46,1)}
        28:{2,4,7}:{(12,1),(13,1),(17,1),(37,1),(42,1),(46,1),(50,1),(68,1)}
        29:{2,6,7}:{(13,1),(18,1),(38,1),(43,1),(91,1),(100,1)}
        30:{2,3,5}:{(14,1),(15,1),(19,1),(39,1),(44,1),(45,1),(47,1),(65,1),(69,1)}
        31:{1,3}:{(15,1),(20,1),(48,1)}
        32:{2,6}:{(16,1),(19,1),(49,1),(50,1)}
        33:{1,3,7}:{(16,1),(17,1),(46,1),(50,1)}
        34:{1,5}:{(19,1),(20,1),(49,1)}
        35:{1,3,4}:{(23,1),(26,1),(51,1),(60,1),(78,1),(86,1)}
        36:{1,3,6}:{(21,1),(23,1),(27,1),(52,1),(53,1)}
        37:{1,4,7}:{(21,1),(22,1),(28,1),(53,1),(64,1)}
        38:{1,6,7}:{(22,1),(29,1),(96,1)}
        39:{2,5}:{(23,1),(51,1),(52,1),(54,1)}
        40:{4,5}:{(24,1),(55,1),(104,1)}
        41:{3,4,6}:{(24,1),(26,1),(27,1),(55,1),(57,1),(58,1),(82,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(29,1),(59,1),(82,1),(102,1)}
        44:{2,4}:{(26,1),(30,1),(60,1)}
        45:{2,3,6}:{(27,1),(30,1),(32,1),(52,1),(57,1),(61,1),(62,1)}
        46:{3,7}:{(27,1),(28,1)}
        47:{1,3,5}:{(30,1),(31,1),(34,1),(54,1),(60,1),(61,1),(63,1),(78,1),(80,1),(86,1),(94,1)}
        48:{2}:{(31,1)}
        49:{1,6}:{(32,1),(34,1),(64,1)}
        50:{2,7}:{(32,1),(33,1),(64,1)}
        51:{2,4}:{(35,1),(39,1),(65,1),(66,1),(88,1)}
        52:{2,6}:{(36,1),(39,1),(67,1),(68,1)}
        53:{1,3,7}:{(36,1),(37,1),(46,1),(68,1)}
        54:{1,5}:{(39,1),(66,1),(67,1)}
        55:{3,5}:{(40,1),(41,1),(69,1)}
        56:{4,5,7}:{(40,1),(42,1),(70,1),(71,1),(74,1)}
        57:{2,4,6}:{(41,1),(44,1),(45,1),(69,1),(72,1),(73,1),(91,1)}
        58:{3,4,7}:{(41,1),(42,1),(46,1),(70,1),(73,1)}
        59:{4,6,7}:{(42,1),(43,1),(71,1),(74,1),(103,1)}
        60:{1,4}:{(44,1),(47,1),(75,1),(98,1)}
        61:{1,3,6}:{(45,1),(47,1),(49,1),(67,1),(72,1),(76,1),(77,1),(92,1)}
        62:{2,3,7}:{(45,1),(46,1),(50,1),(68,1),(73,1),(77,1)}
        63:{2,5}:{(47,1),(48,1),(75,1),(76,1),(88,1)}
        64:{1,7}:{(49,1),(50,1)}
        65:{2,3}:{(51,1),(78,1),(86,1)}
        66:{1,4}:{(51,1),(54,1),(78,1)}
        67:{1,6}:{(52,1),(54,1),(79,1)}
        68:{2,7}:{(52,1),(53,1),(79,1)}
        69:{2,5}:{(55,1),(57,1),(80,1)}
        70:{3,5,7}:{(55,1),(56,1),(58,1),(81,1),(82,1)}
        71:{4,6}:{(56,1),(82,1),(83,1)}
        72:{1,4,6}:{(57,1),(60,1),(61,1),(80,1),(84,1),(85,1),(96,1)}
        73:{2,4,7}:{(57,1),(58,1),(62,1),(81,1),(85,1)}
        74:{5,7}:{(59,1),(83,1),(104,1)}
        75:{2,4}:{(60,1),(63,1),(86,1)}
        76:{2,6}:{(61,1),(63,1),(87,1)}
        77:{1,3,7}:{(61,1),(62,1),(64,1),(79,1),(85,1),(87,1),(97,1)}
        78:{1,3}:{(65,1),(66,1),(88,1)}
        79:{1,7}:{(67,1),(68,1)}
        80:{1,5}:{(69,1),(72,1),(89,1)}
        81:{2,5,7}:{(69,1),(70,1),(73,1),(90,1),(91,1)}
        82:{3,6}:{(70,1),(71,1),(91,1)}
        83:{5,6}:{(71,1),(74,1)}
        84:{2,4,6}:{(72,1),(75,1),(76,1),(89,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        85:{1,4,7}:{(72,1),(73,1),(77,1),(90,1),(93,1)}
        86:{3}:{(75,1)}
        87:{2,7}:{(76,1),(77,1)}
        88:{2}:{(78,1)}
        89:{2,5}:{(80,1),(84,1),(94,1),(104,1)}
        90:{1,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1)}
        91:{2,6}:{(81,1),(82,1),(96,1)}
        92:{3,6}:{(84,1),(86,1),(94,1),(97,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(101,1)}
        94:{3,5}:{(89,1),(92,1),(98,1)}
        95:{2,5,7}:{(89,1),(90,1),(93,1),(99,1),(100,1)}
        96:{1,6}:{(90,1),(91,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{4}:{(94,1)}
        99:{3,5,7}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{2,6}:{(95,1),(96,1),(102,1)}
       101:{4,7}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 282 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 283 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 284 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 285 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 286 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 287 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 288 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(17,1),(21,1),(42,1),(113,1),(136,1),(141,1),(216,1),(221,1),(230,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(31,1),(35,1),(77,1),(88,1),(92,1),(175,1),(190,1),(191,1),(197,1),(292,1)}
         2:{2,3,5}:{(0,1),(5,1),(8,1),(274,1),(281,1),(289,1)}
         3:{2,3,4,7}:{(0,1),(6,1),(9,1),(38,1),(73,1),(163,1),(198,1),(277,1),(293,1)}
         4:{2,4,6}:{(1,1),(11,1),(12,1),(13,1),(52,1),(58,1),(252,1),(260,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(15,1),(56,1),(234,1),(253,1),(348,1)}
         6:{1,3,4,7}:{(1,1),(3,1),(13,1),(16,1),(45,1),(61,1),(121,1),(137,1),(142,1),(261,1),(353,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(21,1),(65,1),(70,1),(141,1),(147,1)}
         8:{2,4,5}:{(2,1),(15,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(334,1),(349,1)}
        10:{1,2,4,6}:{(4,1),(22,1),(23,1),(24,1),(71,1),(77,1),(82,1),(175,1),(292,1),(295,1),(296,1)}
        11:{2,3,6}:{(4,1),(22,1),(26,1),(27,1),(92,1),(312,1)}
        12:{2,5}:{(4,1),(5,1)}
        13:{2,4,7}:{(4,1),(6,1),(27,1),(30,1),(321,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(28,1),(31,1),(32,1),(35,1),(92,1),(104,1),(197,1),(202,1),(203,1)}
        15:{1,4,5}:{(5,1),(8,1),(29,1),(31,1),(77,1),(313,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(9,1),(30,1),(34,1),(35,1),(96,1),(404,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(37,1),(38,1)}
        18:{2,3,5,7}:{(7,1),(32,1),(38,1),(39,1),(105,1),(108,1),(198,1),(204,1)}
        19:{3,4,5}:{(8,1),(37,1),(162,1),(274,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(34,1),(38,1),(40,1),(41,1),(108,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(35,1),(41,1),(391,1),(405,1)}
        22:{1,3,6}:{(10,1),(11,1),(42,1),(44,1),(45,1),(354,1)}
        23:{1,2,5}:{(10,1),(12,1),(44,1),(110,1),(234,1),(348,1)}
        24:{1,2,4,7}:{(10,1),(13,1),(45,1),(48,1),(111,1),(121,1),(353,1),(355,1)}
        25:{2,3,4,6}:{(11,1),(43,1),(49,1),(50,1),(52,1),(127,1),(131,1),(133,1),(138,1),(219,1),(230,1),(326,1)}
        26:{2,3,5}:{(11,1),(12,1),(44,1),(52,1),(56,1)}
        27:{2,3,7}:{(11,1),(13,1),(45,1),(142,1)}
        28:{2,5,6}:{(12,1),(14,1),(54,1),(55,1),(58,1),(260,1)}
        29:{2,4,5}:{(12,1),(15,1),(52,1),(54,1),(56,1)}
        30:{2,5,7}:{(12,1),(13,1),(16,1),(58,1)}
        31:{1,4,6}:{(14,1),(15,1),(17,1),(54,1),(61,1),(263,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(55,1),(61,1),(62,1),(142,1),(152,1),(261,1),(262,1),(264,1)}
        33:{1,3,4,5}:{(15,1),(19,1),(56,1),(60,1),(63,1),(120,1),(144,1),(228,1),(244,1),(360,1),(452,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(20,1),(57,1),(61,1),(64,1),(121,1),(152,1),(234,1)}
        35:{1,3,6}:{(16,1),(21,1),(58,1),(64,1),(145,1),(449,1)}
        36:{2,4,5,6}:{(17,1),(59,1),(65,1),(66,1),(70,1),(147,1),(156,1),(215,1),(335,1),(370,1),(512,1),(541,1)}
        37:{3,4,6}:{(17,1),(19,1),(65,1),(67,1),(541,1)}
        38:{2,4,7}:{(17,1),(18,1),(61,1),(67,1)}
        39:{2,3,6,7}:{(18,1),(21,1),(62,1),(68,1),(153,1),(265,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(67,1),(69,1),(155,1),(220,1),(334,1),(341,1),(444,1)}
        41:{2,4,6}:{(20,1),(21,1),(64,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(268,1),(396,1)}
        43:{1,3,4,6}:{(22,1),(25,1),(71,1),(74,1),(75,1),(77,1),(162,1),(165,1),(169,1),(175,1),(268,1),(279,1),(280,1),(292,1),(381,1)}
        44:{1,3,5}:{(22,1),(23,1),(26,1),(72,1),(77,1)}
        45:{1,3,7}:{(22,1),(24,1),(27,1),(73,1)}
        46:{1,2,5,6}:{(23,1),(28,1),(76,1),(79,1),(80,1),(82,1),(157,1),(203,1),(289,1),(296,1),(317,1),(398,1),(403,1),(405,1),(466,1),(484,1)}
        47:{1,2,4,5}:{(23,1),(29,1),(77,1),(79,1),(81,1),(103,1),(158,1),(170,1),(174,1),(201,1),(287,1),(289,1),(295,1),(385,1),(403,1),(410,1),(472,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(30,1),(78,1),(82,1),(159,1),(404,1)}
        49:{2,3,5}:{(25,1),(74,1),(84,1),(185,1),(192,1),(289,1)}
        50:{2,3,4,7}:{(25,1),(27,1),(75,1),(85,1),(89,1),(181,1),(188,1),(293,1),(382,1)}
        51:{2,3,5,6}:{(26,1),(28,1),(76,1),(86,1),(87,1),(90,1),(92,1),(176,1),(185,1),(192,1),(202,1),(289,1),(307,1),(308,1),(405,1),(466,1),(476,1),(515,1),(526,1),(545,1),(546,1)}
        52:{2,4}:{(26,1),(77,1),(88,1)}
        53:{2,3,5,7}:{(26,1),(27,1),(30,1),(78,1),(89,1),(90,1),(96,1),(192,1)}
        54:{2,4,6}:{(28,1),(29,1),(31,1),(92,1),(93,1)}
        55:{2,5,7}:{(28,1),(32,1),(93,1),(94,1),(321,1)}
        56:{3,5}:{(29,1),(88,1),(92,1)}
        57:{2,4,5,7}:{(29,1),(30,1),(34,1),(89,1),(93,1),(96,1),(97,1),(192,1),(200,1),(313,1),(322,1)}
        58:{2,6}:{(30,1),(35,1)}
        59:{1,4,5,6}:{(31,1),(36,1),(91,1),(98,1),(99,1),(104,1),(170,1),(203,1),(291,1),(314,1),(488,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(37,1),(92,1),(98,1),(100,1),(101,1),(193,1),(197,1),(314,1),(419,1)}
        61:{1,4,7}:{(31,1),(32,1),(38,1),(93,1),(322,1)}
        62:{1,3,6,7}:{(32,1),(35,1),(39,1),(94,1),(102,1),(199,1),(323,1)}
        63:{2,4,5}:{(33,1),(95,1),(100,1),(103,1),(174,1),(201,1),(289,1)}
        64:{1,4,6}:{(34,1),(35,1),(41,1),(97,1),(104,1)}
        65:{3,5,6}:{(36,1),(37,1),(105,1),(274,1),(391,1),(419,1)}
        66:{2,4,5,7}:{(36,1),(38,1),(99,1),(105,1),(106,1),(108,1),(204,1),(209,1),(420,1),(492,1),(531,1)}
        67:{3,4,7}:{(37,1),(38,1),(105,1),(531,1)}
        68:{2,4,6,7}:{(38,1),(39,1),(41,1),(102,1),(107,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(391,1),(479,1)}
        70:{2,5,6}:{(41,1),(104,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(43,1),(110,1),(111,1),(113,1),(214,1),(340,1),(431,1)}
        72:{2,3,5}:{(42,1),(44,1),(110,1),(113,1),(212,1)}
        73:{2,3,7}:{(42,1),(45,1),(111,1),(327,1)}
        74:{1,3,5}:{(43,1),(49,1),(110,1),(116,1),(212,1),(234,1),(341,1),(348,1)}
        75:{1,3,4,7}:{(43,1),(45,1),(50,1),(111,1),(117,1),(121,1),(220,1),(224,1),(327,1),(353,1),(432,1)}
        76:{1,3,5,6}:{(44,1),(46,1),(51,1),(112,1),(118,1),(119,1),(122,1),(123,1),(228,1),(234,1),(235,1),(348,1),(350,1),(351,1),(447,1),(449,1),(509,1),(539,1)}
        77:{1,4}:{(44,1),(52,1),(113,1)}
        78:{1,3,5,7}:{(44,1),(45,1),(48,1),(53,1),(114,1),(121,1),(122,1),(234,1)}
        79:{1,2,4,6}:{(46,1),(47,1),(54,1),(118,1),(123,1),(124,1),(150,1),(210,1),(230,1),(260,1),(345,1),(370,1),(431,1),(493,1)}
        80:{1,2,5,7}:{(46,1),(55,1),(119,1),(124,1),(125,1),(211,1),(264,1),(349,1),(355,1),(374,1),(445,1),(497,1)}
        81:{1,3,5}:{(47,1),(56,1),(120,1),(123,1),(126,1),(212,1),(354,1),(452,1),(500,1)}
        82:{1,2,6}:{(48,1),(58,1),(122,1),(214,1),(449,1)}
        83:{2,3,5,6}:{(49,1),(115,1),(127,1),(128,1),(131,1),(238,1),(243,1),(326,1),(342,1)}
        84:{2,4,5}:{(49,1),(52,1),(116,1),(127,1),(129,1)}
        85:{2,3,5,7}:{(49,1),(50,1),(117,1),(130,1),(131,1),(246,1),(349,1)}
        86:{2,4,6}:{(51,1),(52,1),(118,1),(132,1),(133,1),(134,1),(263,1),(505,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(55,1),(119,1),(134,1),(135,1),(142,1),(236,1),(246,1),(251,1),(262,1),(349,1),(497,1),(532,1),(548,1)}
        88:{3,4}:{(52,1),(56,1)}
        89:{2,4,7}:{(52,1),(53,1),(121,1),(137,1),(138,1)}
        90:{2,3,6}:{(53,1),(58,1),(122,1),(138,1),(145,1)}
        91:{2,4,5,6}:{(54,1),(59,1),(132,1),(139,1),(140,1),(146,1),(147,1),(247,1),(254,1),(263,1),(455,1),(456,1)}
        92:{3,6}:{(54,1),(56,1),(142,1)}
        93:{2,4,7}:{(54,1),(55,1),(61,1),(142,1)}
        94:{2,6,7}:{(55,1),(58,1),(62,1)}
        95:{2,3,5}:{(56,1),(63,1),(136,1),(141,1),(144,1),(452,1)}
        96:{3,5,7}:{(56,1),(57,1),(137,1),(142,1),(145,1),(253,1)}
        97:{2,4,6}:{(57,1),(58,1),(64,1),(145,1),(146,1),(263,1)}
        98:{1,3,5,6}:{(59,1),(60,1),(65,1),(139,1),(147,1),(148,1),(228,1),(350,1)}
        99:{1,4,5,7}:{(59,1),(61,1),(66,1),(140,1),(148,1),(149,1),(152,1),(264,1),(371,1),(462,1)}
       100:{2,4,6}:{(60,1),(63,1),(141,1),(147,1),(150,1),(151,1),(260,1)}
       101:{1,3,4,7}:{(60,1),(61,1),(67,1),(142,1),(148,1),(151,1),(255,1),(261,1),(371,1),(460,1)}
       102:{1,4,6,7}:{(61,1),(62,1),(64,1),(68,1),(143,1),(152,1)}
       103:{1,4,5}:{(63,1),(144,1),(150,1),(233,1),(348,1)}
       104:{1,5,6}:{(64,1),(70,1),(146,1),(152,1),(234,1)}
       105:{3,5,7}:{(65,1),(66,1),(67,1),(153,1),(460,1)}
       106:{2,4,6,7}:{(66,1),(149,1),(153,1),(154,1),(265,1),(266,1),(335,1)}
       107:{3,4,6,7}:{(67,1),(68,1),(69,1),(153,1),(155,1),(266,1)}
       108:{2,5,7}:{(68,1),(70,1),(152,1),(155,1)}
       109:{3,5,6}:{(69,1),(70,1),(155,1),(156,1),(341,1)}
       110:{2,5}:{(71,1),(74,1)}
       111:{2,4,7}:{(71,1),(73,1),(75,1),(159,1),(470,1)}
       112:{2,3,5,6}:{(72,1),(76,1),(157,1),(160,1),(161,1),(164,1),(176,1),(268,1),(274,1),(281,1),(289,1),(317,1),(386,1),(391,1),(392,1),(405,1),(414,1),(419,1),(490,1),(529,1),(530,1)}
       113:{2,4}:{(72,1),(77,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(78,1),(159,1),(163,1),(164,1),(272,1),(281,1)}
       115:{1,3,5,6}:{(74,1),(83,1),(157,1),(165,1),(166,1),(169,1),(268,1),(288,1),(381,1),(386,1),(398,1)}
       116:{1,4,5}:{(74,1),(77,1),(84,1),(158,1),(165,1),(397,1)}
       117:{1,3,5,7}:{(74,1),(75,1),(85,1),(159,1),(168,1),(169,1),(272,1),(404,1)}
       118:{1,4,6}:{(76,1),(77,1),(86,1),(160,1),(170,1),(172,1),(482,1)}
       119:{1,3,5,7}:{(76,1),(80,1),(87,1),(161,1),(172,1),(173,1),(177,1),(294,1),(297,1),(404,1)}
       120:{1,3,4}:{(77,1),(81,1),(88,1),(162,1),(174,1),(482,1),(485,1),(521,1)}
       121:{1,4,7}:{(77,1),(78,1),(89,1),(163,1),(175,1)}
       122:{1,3,6}:{(78,1),(82,1),(90,1),(164,1),(175,1)}
       123:{1,3,6}:{(79,1),(81,1),(92,1),(176,1),(177,1),(268,1),(419,1),(515,1)}
       124:{1,2,4,7}:{(79,1),(80,1),(93,1),(172,1),(177,1),(207,1),(269,1),(293,1),(321,1),(402,1),(420,1),(470,1),(516,1)}
       125:{1,2,6,7}:{(80,1),(82,1),(94,1),(173,1),(270,1),(323,1),(405,1),(424,1),(481,1),(484,1),(520,1)}
       126:{2,3,5}:{(81,1),(174,1),(176,1),(178,1),(201,1),(289,1),(312,1),(385,1),(396,1)}
       127:{2,4,6}:{(83,1),(84,1),(165,1),(180,1),(181,1)}
       128:{2,3,5,7}:{(83,1),(166,1),(181,1),(182,1),(298,1),(301,1),(382,1),(399,1)}
       129:{3,4,5}:{(84,1),(88,1),(180,1),(185,1),(552,1)}
       130:{2,4,5,7}:{(84,1),(85,1),(89,1),(168,1),(181,1),(183,1),(184,1),(192,1),(301,1)}
       131:{2,3,6}:{(85,1),(169,1),(184,1),(307,1),(405,1)}
       132:{2,4,5}:{(86,1),(170,1),(185,1),(192,1),(289,1),(313,1),(546,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(92,1),(185,1),(188,1),(307,1),(515,1),(521,1)}
       134:{2,4,7}:{(86,1),(87,1),(172,1),(188,1),(322,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(94,1),(173,1),(189,1),(199,1),(307,1),(405,1),(520,1),(526,1),(542,1)}
       136:{2,3,4}:{(88,1),(95,1),(174,1),(190,1),(396,1),(485,1)}
       137:{3,4,7}:{(88,1),(89,1),(96,1),(191,1),(322,1)}
       138:{2,4,6}:{(89,1),(90,1),(175,1),(191,1),(192,1)}
       139:{3,5,6}:{(91,1),(92,1),(185,1),(193,1),(195,1),(307,1)}
       140:{2,4,5,7}:{(91,1),(93,1),(99,1),(195,1),(196,1),(200,1),(204,1),(315,1),(322,1),(422,1),(423,1)}
       141:{2,3,6}:{(92,1),(95,1),(100,1),(197,1),(198,1),(419,1)}
       142:{3,7}:{(92,1),(93,1)}
       143:{2,4,6,7}:{(93,1),(94,1),(97,1),(102,1),(199,1),(200,1),(322,1)}
       144:{1,3,5}:{(95,1),(103,1),(190,1),(197,1),(201,1)}
       145:{3,6}:{(96,1),(97,1)}
       146:{2,5,6}:{(97,1),(104,1),(192,1),(200,1),(202,1)}
       147:{2,5,6}:{(98,1),(100,1),(203,1),(204,1),(289,1),(405,1)}
       148:{1,3,5,7}:{(98,1),(99,1),(101,1),(105,1),(195,1),(204,1),(205,1)}
       149:{1,4,6,7}:{(99,1),(106,1),(196,1),(205,1),(206,1),(291,1),(323,1)}
       150:{1,4,6}:{(100,1),(103,1),(197,1),(203,1),(207,1)}
       151:{2,4,7}:{(100,1),(101,1),(198,1),(204,1),(207,1),(321,1)}
       152:{1,5,7}:{(102,1),(104,1),(108,1),(200,1)}
       153:{3,6,7}:{(105,1),(106,1),(391,1)}
       154:{2,5,6,7}:{(106,1),(108,1),(206,1),(208,1),(392,1),(492,1)}
       155:{3,5,7}:{(107,1),(108,1),(109,1),(209,1)}
       156:{4,5,6}:{(109,1),(209,1),(397,1),(479,1)}
       157:{2,5,6}:{(110,1),(115,1),(210,1),(211,1),(214,1),(431,1)}
       158:{2,4,5}:{(110,1),(113,1),(116,1),(210,1),(212,1)}
       159:{2,5,7}:{(110,1),(111,1),(117,1),(214,1)}
       160:{2,4,6}:{(112,1),(113,1),(118,1),(215,1),(216,1),(217,1),(434,1),(457,1),(541,1)}
       161:{2,3,5,7}:{(112,1),(119,1),(211,1),(217,1),(218,1),(236,1),(327,1),(334,1),(339,1),(349,1),(374,1),(433,1),(460,1),(514,1)}
       162:{3,4}:{(113,1),(212,1)}
       163:{2,4,7}:{(113,1),(114,1),(121,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(122,1),(214,1),(221,1),(330,1)}
       165:{1,4,6}:{(115,1),(116,1),(127,1),(210,1),(224,1),(434,1)}
       166:{1,3,5,7}:{(115,1),(128,1),(211,1),(224,1),(225,1),(327,1),(347,1),(432,1),(433,1),(445,1)}
       167:{1,3,4,5}:{(116,1),(120,1),(129,1),(212,1),(223,1),(226,1),(228,1),(329,1),(332,1),(435,1),(500,1)}
       168:{1,4,5,7}:{(116,1),(117,1),(121,1),(130,1),(213,1),(224,1),(227,1),(234,1),(347,1)}
       169:{1,3,6}:{(117,1),(131,1),(214,1),(227,1),(330,1),(449,1)}
       170:{1,4,5}:{(118,1),(132,1),(215,1),(228,1),(234,1),(348,1),(539,1)}
       171:{1,3,4,6}:{(118,1),(120,1),(123,1),(133,1),(216,1),(228,1),(230,1),(231,1),(350,1)}
       172:{1,4,7}:{(118,1),(119,1),(134,1),(217,1)}
       173:{1,3,6,7}:{(119,1),(122,1),(125,1),(135,1),(218,1),(232,1),(350,1),(449,1),(509,1)}
       174:{2,4}:{(120,1),(126,1),(233,1)}
       175:{1,4,6}:{(121,1),(122,1),(138,1),(221,1),(234,1)}
       176:{2,3,6}:{(123,1),(126,1),(230,1),(235,1),(236,1),(260,1),(431,1)}
       177:{1,3,7}:{(123,1),(124,1),(142,1),(236,1),(327,1),(460,1),(532,1)}
       178:{1,3,5}:{(126,1),(233,1),(235,1),(237,1),(348,1),(354,1)}
       179:{2,4,5,6}:{(127,1),(132,1),(222,1),(238,1),(239,1),(243,1),(247,1),(342,1),(359,1),(493,1),(537,1),(550,1)}
       180:{3,4,6}:{(127,1),(129,1),(238,1),(240,1),(550,1)}
       181:{2,4,7}:{(127,1),(128,1),(224,1),(240,1)}
       182:{2,3,6,7}:{(128,1),(131,1),(225,1),(241,1),(356,1),(446,1)}
       183:{3,4,5,7}:{(129,1),(130,1),(137,1),(240,1),(242,1),(246,1),(253,1),(358,1),(369,1)}
       184:{2,4,6}:{(130,1),(131,1),(227,1),(242,1),(243,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(229,1),(246,1),(247,1),(251,1),(349,1),(369,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(141,1),(230,1),(245,1),(248,1),(249,1),(254,1),(365,1),(442,1),(505,1),(538,1)}
       188:{3,4,7}:{(133,1),(134,1),(142,1),(246,1),(532,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(138,1),(232,1),(247,1),(250,1),(251,1),(538,1)}
       190:{1,3,4}:{(136,1),(144,1),(233,1),(252,1),(354,1)}
       191:{3,4,6}:{(137,1),(138,1),(145,1),(253,1),(263,1)}
       192:{2,5}:{(138,1),(234,1),(253,1)}
       193:{3,4,6}:{(139,1),(244,1),(254,1),(255,1),(263,1)}
       194:{2,3,5,6}:{(139,1),(141,1),(147,1),(245,1),(254,1),(256,1),(257,1),(365,1),(455,1)}
       195:{3,5,7}:{(139,1),(140,1),(142,1),(255,1),(258,1)}
       196:{2,4,6,7}:{(140,1),(149,1),(247,1),(258,1),(259,1),(265,1),(376,1)}
       197:{1,3,6}:{(141,1),(144,1),(150,1),(260,1),(261,1)}
       198:{2,3,7}:{(141,1),(142,1),(151,1),(261,1),(460,1)}
       199:{3,6,7}:{(142,1),(143,1),(145,1),(262,1)}
       200:{2,5,7}:{(143,1),(146,1),(152,1),(262,1)}
       201:{2,5}:{(144,1),(252,1),(260,1)}
       202:{3,5,6}:{(145,1),(146,1),(253,1),(262,1),(263,1)}
       203:{1,5,6}:{(147,1),(150,1),(264,1),(348,1),(449,1)}
       204:{2,5,7}:{(147,1),(148,1),(151,1),(264,1),(265,1)}
       205:{1,3,6,7}:{(148,1),(149,1),(153,1),(258,1),(265,1),(350,1)}
       206:{1,5,6,7}:{(149,1),(152,1),(154,1),(259,1),(351,1),(462,1)}
       207:{1,4,7}:{(150,1),(151,1),(261,1),(264,1)}
       208:{3,5,6,7}:{(153,1),(154,1),(155,1),(266,1),(441,1),(514,1)}
       209:{4,5,7}:{(155,1),(156,1),(266,1)}
       210:{2,4,6}:{(157,1),(158,1),(165,1),(268,1),(269,1)}
       211:{2,5,7}:{(157,1),(166,1),(269,1),(270,1),(470,1)}
       212:{3,5}:{(158,1),(162,1),(268,1)}
       213:{2,4,5,7}:{(158,1),(159,1),(163,1),(168,1),(269,1),(272,1),(273,1),(281,1),(384,1),(397,1),(471,1)}
       214:{2,6}:{(159,1),(169,1)}
       215:{2,4,5}:{(160,1),(170,1),(274,1),(281,1),(289,1),(397,1),(530,1),(547,1)}
       216:{3,4,6}:{(160,1),(162,1),(268,1),(274,1),(277,1),(391,1),(419,1),(485,1)}
       217:{2,4,7}:{(160,1),(161,1),(172,1),(277,1),(471,1),(531,1)}
       218:{2,3,6,7}:{(161,1),(164,1),(173,1),(270,1),(278,1),(383,1),(391,1),(405,1),(424,1),(490,1),(491,1)}
       219:{2,3,4}:{(162,1),(174,1),(271,1),(279,1),(312,1),(521,1)}
       220:{3,4,7}:{(162,1),(163,1),(272,1),(280,1),(471,1)}
       221:{2,4,6}:{(163,1),(164,1),(175,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(170,1),(179,1),(267,1),(282,1),(283,1),(288,1),(291,1),(398,1),(463,1),(524,1)}
       223:{1,3,4,6}:{(165,1),(167,1),(180,1),(268,1),(282,1),(284,1),(285,1),(377,1),(381,1),(463,1),(515,1)}
       224:{1,4,7}:{(165,1),(166,1),(181,1),(269,1),(471,1)}
       225:{1,3,6,7}:{(166,1),(169,1),(182,1),(270,1),(286,1),(383,1),(481,1)}
       226:{2,4,5}:{(167,1),(174,1),(271,1),(284,1),(287,1),(289,1),(385,1)}
       227:{1,4,6}:{(168,1),(169,1),(184,1),(273,1),(288,1)}
       228:{1,3,5}:{(170,1),(171,1),(185,1),(274,1),(289,1)}
       229:{1,4,5,7}:{(170,1),(172,1),(186,1),(275,1),(290,1),(291,1),(294,1),(404,1)}
       230:{2,4,6}:{(171,1),(174,1),(176,1),(289,1),(292,1),(293,1),(405,1)}
       231:{1,3,4,7}:{(171,1),(172,1),(177,1),(188,1),(277,1),(290,1),(293,1)}
       232:{1,4,6,7}:{(172,1),(173,1),(175,1),(189,1),(278,1),(291,1),(294,1),(527,1)}
       233:{1,4}:{(174,1),(178,1)}
       234:{1,5}:{(175,1),(192,1),(281,1)}
       235:{1,3,6}:{(176,1),(178,1),(292,1),(296,1),(297,1)}
       236:{2,3,7}:{(176,1),(177,1),(293,1),(297,1),(321,1),(470,1)}
       237:{1,2,5}:{(178,1),(201,1),(295,1),(296,1),(385,1)}
       238:{3,5,6}:{(179,1),(180,1),(185,1),(298,1),(307,1),(515,1)}
       239:{2,4,5,7}:{(179,1),(181,1),(283,1),(298,1),(299,1),(301,1),(399,1),(409,1),(516,1),(543,1),(551,1)}
       240:{3,4,7}:{(180,1),(181,1),(298,1),(551,1)}
       241:{2,4,6,7}:{(181,1),(182,1),(184,1),(286,1),(300,1),(301,1)}
       242:{3,4,6}:{(183,1),(184,1),(302,1),(307,1),(417,1)}
       243:{2,5,6}:{(184,1),(192,1),(288,1),(301,1),(302,1)}
       244:{3,4,5}:{(185,1),(193,1),(303,1),(313,1),(521,1)}
       245:{2,3,5}:{(185,1),(187,1),(289,1),(303,1),(305,1),(546,1)}
       246:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       247:{2,4,6}:{(186,1),(291,1),(307,1),(308,1),(405,1),(417,1)}
       248:{1,3,4,6}:{(187,1),(190,1),(197,1),(292,1),(305,1),(309,1),(310,1),(314,1),(406,1),(416,1),(419,1),(482,1),(485,1),(527,1),(528,1)}
       249:{2,3,4,7}:{(187,1),(188,1),(198,1),(293,1),(306,1),(310,1),(315,1),(480,1),(525,1)}
       250:{3,4,6,7}:{(188,1),(189,1),(191,1),(199,1),(307,1),(311,1),(322,1),(417,1),(542,1),(544,1),(551,1)}
       251:{2,5,7}:{(189,1),(192,1),(294,1),(308,1),(311,1),(546,1)}
       252:{2,4}:{(190,1),(201,1),(312,1)}
       253:{3,5}:{(191,1),(192,1),(313,1)}
       254:{2,4,6}:{(193,1),(194,1),(303,1),(314,1),(315,1)}
       255:{3,4,7}:{(193,1),(195,1),(315,1),(322,1)}
       256:{1,3,5,6}:{(194,1),(197,1),(203,1),(305,1),(314,1),(317,1),(318,1),(416,1),(419,1),(488,1),(529,1)}
       257:{2,3,5,7}:{(194,1),(195,1),(198,1),(204,1),(315,1),(318,1),(319,1),(422,1)}
       258:{3,6,7}:{(195,1),(196,1),(307,1)}
       259:{2,5,6,7}:{(196,1),(200,1),(206,1),(308,1),(320,1),(422,1)}
       260:{2,6}:{(197,1),(201,1),(321,1)}
       261:{1,3,7}:{(197,1),(198,1),(207,1),(321,1)}
       262:{3,5,7}:{(199,1),(200,1),(202,1),(322,1)}
       263:{4,6}:{(202,1),(313,1),(322,1)}
       264:{1,5,7}:{(203,1),(204,1),(207,1),(323,1)}
       265:{2,6,7}:{(204,1),(205,1),(323,1),(405,1)}
       266:{4,6,7}:{(208,1),(209,1),(479,1),(531,1)}
       267:{2,4,5,6}:{(210,1),(215,1),(222,1),(324,1),(325,1),(331,1),(335,1),(342,1),(425,1),(434,1),(503,1),(504,1)}
       268:{3,6}:{(210,1),(212,1),(327,1)}
       269:{2,4,7}:{(210,1),(211,1),(224,1),(327,1)}
       270:{2,6,7}:{(211,1),(214,1),(225,1)}
       271:{2,3,5}:{(212,1),(219,1),(226,1),(326,1),(329,1),(500,1)}
       272:{3,5,7}:{(212,1),(213,1),(220,1),(327,1),(330,1),(341,1)}
       273:{2,4,6}:{(213,1),(214,1),(227,1),(330,1),(331,1),(434,1)}
       274:{3,5}:{(215,1),(216,1)}
       275:{2,4,5,7}:{(215,1),(217,1),(229,1),(334,1),(335,1),(339,1),(349,1),(444,1)}
       276:{2,3,4,6}:{(216,1),(219,1),(230,1),(326,1),(333,1),(336,1),(337,1),(367,1),(425,1),(440,1),(457,1),(513,1)}
       277:{3,4,7}:{(216,1),(217,1),(327,1),(334,1),(460,1)}
       278:{2,4,6,7}:{(217,1),(218,1),(221,1),(232,1),(335,1),(338,1),(339,1),(513,1)}
       279:{1,3,4}:{(219,1),(233,1),(329,1),(340,1),(354,1)}
       280:{3,4,6}:{(220,1),(221,1),(330,1),(341,1),(434,1)}
       281:{2,5}:{(221,1),(234,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(228,1),(238,1),(324,1),(342,1),(343,1),(350,1)}
       283:{1,4,5,7}:{(222,1),(224,1),(239,1),(325,1),(343,1),(344,1),(347,1),(445,1),(494,1),(534,1)}
       284:{2,4,6}:{(223,1),(226,1),(326,1),(342,1),(345,1),(346,1),(431,1)}
       285:{1,3,4,7}:{(223,1),(224,1),(240,1),(327,1),(343,1),(346,1),(426,1),(432,1),(494,1),(532,1)}
       286:{1,4,6,7}:{(224,1),(225,1),(227,1),(241,1),(328,1),(347,1)}
       287:{1,4,5}:{(226,1),(233,1),(329,1),(345,1),(348,1)}
       288:{1,5,6}:{(227,1),(234,1),(243,1),(331,1),(347,1)}
       289:{2,5}:{(228,1),(230,1),(348,1)}
       290:{1,3,5,7}:{(228,1),(229,1),(231,1),(246,1),(334,1),(349,1),(350,1)}
       291:{1,4,6}:{(229,1),(247,1),(335,1),(350,1),(351,1),(449,1)}
       292:{1,4,6}:{(230,1),(233,1),(235,1),(348,1),(353,1),(449,1)}
       293:{2,4,7}:{(230,1),(231,1),(236,1),(349,1),(353,1)}
       294:{1,5,7}:{(232,1),(234,1),(251,1),(339,1),(351,1),(539,1)}
       295:{1,2,4}:{(233,1),(237,1),(252,1),(340,1),(354,1)}
       296:{1,2,6}:{(235,1),(237,1),(260,1),(355,1),(431,1)}
       297:{1,3,7}:{(235,1),(236,1),(353,1),(355,1)}
       298:{3,5,7}:{(238,1),(239,1),(240,1),(356,1),(532,1)}
       299:{2,4,6,7}:{(239,1),(247,1),(344,1),(356,1),(357,1),(446,1),(451,1)}
       300:{3,4,6,7}:{(240,1),(241,1),(242,1),(356,1),(358,1),(451,1)}
       301:{2,5,7}:{(241,1),(243,1),(347,1),(358,1)}
       302:{3,5,6}:{(242,1),(243,1),(253,1),(358,1),(359,1)}
       303:{2,4,5}:{(244,1),(245,1),(254,1),(360,1),(505,1)}
       304:{3,4,5,7}:{(244,1),(246,1),(255,1),(361,1),(362,1),(369,1),(373,1),(535,1),(549,1)}
       305:{1,3,5}:{(245,1),(248,1),(348,1),(360,1),(363,1),(452,1),(539,1),(540,1)}
       306:{2,3,5,7}:{(245,1),(246,1),(249,1),(349,1),(361,1),(364,1),(365,1)}
       307:{3,6}:{(246,1),(247,1)}
       308:{2,5,6}:{(247,1),(251,1),(351,1),(366,1)}
       309:{2,4,6}:{(248,1),(252,1),(260,1),(363,1),(367,1),(368,1),(457,1),(459,1)}
       310:{1,3,4,7}:{(248,1),(249,1),(261,1),(353,1),(364,1),(368,1),(371,1),(450,1),(460,1),(508,1),(510,1)}
       311:{3,5,7}:{(250,1),(251,1),(253,1),(366,1),(369,1),(549,1)}
       312:{2,3}:{(252,1),(354,1)}
       313:{4,5}:{(253,1),(263,1)}
       314:{1,4,6}:{(254,1),(256,1),(360,1),(370,1),(371,1),(541,1)}
       315:{2,4,7}:{(254,1),(255,1),(257,1),(371,1)}
       316:{3,4,6,7}:{(255,1),(258,1),(362,1),(372,1),(373,1),(376,1)}
       317:{2,5,6}:{(256,1),(260,1),(363,1),(370,1),(374,1),(459,1)}
       318:{1,3,5,7}:{(256,1),(257,1),(261,1),(264,1),(371,1),(374,1),(375,1),(460,1),(462,1),(514,1)}
       319:{2,3,6,7}:{(257,1),(258,1),(265,1),(365,1),(372,1),(375,1)}
       320:{3,5,6,7}:{(258,1),(259,1),(262,1),(366,1),(373,1),(376,1)}
       321:{2,7}:{(260,1),(261,1)}
       322:{4,7}:{(262,1),(263,1)}
       323:{1,6,7}:{(264,1),(265,1),(449,1)}
       324:{3,5,6}:{(267,1),(268,1),(274,1),(377,1),(379,1),(391,1)}
       325:{2,4,5,7}:{(267,1),(269,1),(283,1),(379,1),(380,1),(384,1),(399,1),(464,1),(471,1),(518,1),(519,1)}
       326:{2,3,6}:{(268,1),(271,1),(284,1),(381,1),(382,1),(515,1)}
       327:{3,7}:{(268,1),(269,1)}
       328:{2,4,6,7}:{(269,1),(270,1),(273,1),(286,1),(383,1),(384,1),(471,1)}
       329:{1,3,5}:{(271,1),(279,1),(287,1),(381,1),(385,1)}
       330:{3,6}:{(272,1),(273,1)}
       331:{2,5,6}:{(273,1),(281,1),(288,1),(384,1),(386,1)}
       332:{3,4,5}:{(274,1),(377,1),(387,1),(397,1),(485,1)}
       333:{2,3,5}:{(274,1),(276,1),(289,1),(387,1),(389,1),(530,1)}
       334:{3,5,7}:{(274,1),(275,1),(277,1),(391,1)}
       335:{2,4,6}:{(275,1),(291,1),(391,1),(392,1),(405,1),(479,1)}
       336:{1,3,4,6}:{(276,1),(279,1),(292,1),(381,1),(389,1),(393,1),(394,1),(406,1),(463,1),(478,1),(482,1),(515,1),(521,1),(527,1),(544,1)}
       337:{2,3,4,7}:{(276,1),(277,1),(293,1),(382,1),(390,1),(394,1),(418,1),(464,1),(489,1)}
       338:{3,4,6,7}:{(277,1),(278,1),(280,1),(383,1),(391,1),(395,1),(471,1),(479,1),(491,1),(528,1),(531,1)}
       339:{2,5,7}:{(278,1),(281,1),(294,1),(392,1),(395,1),(530,1)}
       340:{2,4}:{(279,1),(385,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(289,1),(398,1),(399,1),(405,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(285,1),(298,1),(379,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(291,1),(299,1),(380,1),(400,1),(401,1),(481,1)}
       345:{1,4,6}:{(284,1),(287,1),(381,1),(398,1),(402,1)}
       346:{2,4,7}:{(284,1),(285,1),(382,1),(399,1),(402,1),(470,1)}
       347:{1,5,7}:{(286,1),(288,1),(301,1),(384,1)}
       348:{1,5}:{(289,1),(292,1)}
       349:{2,5,7}:{(289,1),(290,1),(293,1),(404,1),(405,1)}
       350:{1,3,6}:{(290,1),(291,1),(307,1),(391,1),(405,1)}
       351:{1,5,6}:{(291,1),(294,1),(308,1),(392,1)}
       352:{1,2,4,6}:{(292,1),(295,1),(296,1),(309,1),(393,1),(403,1),(406,1),(407,1),(482,1),(484,1),(527,1)}
       353:{1,4,7}:{(292,1),(293,1),(297,1),(404,1)}
       354:{1,3}:{(295,1),(312,1),(396,1)}
       355:{1,2,7}:{(296,1),(297,1),(321,1),(470,1)}
       356:{3,6,7}:{(298,1),(299,1),(307,1)}
       357:{2,5,6,7}:{(299,1),(301,1),(308,1),(401,1),(408,1),(543,1)}
       358:{3,5,7}:{(300,1),(301,1),(302,1),(409,1)}
       359:{4,5,6}:{(302,1),(313,1),(409,1),(417,1)}
       360:{1,4,5}:{(303,1),(305,1),(314,1),(410,1),(482,1),(547,1)}
       361:{2,4,5,7}:{(303,1),(304,1),(306,1),(315,1),(411,1),(412,1),(422,1),(525,1),(546,1)}
       362:{3,4,6}:{(304,1),(307,1),(412,1),(413,1),(417,1)}
       363:{2,5}:{(305,1),(309,1)}
       364:{1,3,5,7}:{(305,1),(306,1),(310,1),(404,1),(411,1),(415,1),(416,1),(486,1)}
       365:{2,3,6}:{(306,1),(307,1),(405,1),(412,1),(416,1)}
       366:{3,5,6}:{(307,1),(308,1),(311,1),(417,1)}
       367:{2,3,6}:{(309,1),(312,1),(406,1),(414,1),(418,1),(419,1)}
       368:{2,4,7}:{(309,1),(310,1),(321,1),(415,1),(418,1)}
       369:{4,5,7}:{(311,1),(313,1),(322,1),(417,1),(551,1),(552,1)}
       370:{2,4,6}:{(314,1),(317,1),(410,1),(419,1),(420,1)}
       371:{1,4,7}:{(314,1),(315,1),(318,1),(420,1),(531,1)}
       372:{2,4,6,7}:{(315,1),(316,1),(319,1),(412,1),(421,1),(422,1)}
       373:{3,5,7}:{(316,1),(413,1),(422,1),(423,1)}
       374:{2,5,7}:{(317,1),(318,1),(321,1),(420,1),(424,1)}
       375:{1,3,6,7}:{(318,1),(319,1),(323,1),(416,1),(421,1),(424,1),(491,1)}
       376:{4,6,7}:{(320,1),(322,1),(417,1),(423,1)}
       377:{3,4,6}:{(324,1),(332,1),(425,1),(426,1),(434,1)}
       378:{2,3,5,6}:{(324,1),(326,1),(333,1),(342,1),(425,1),(427,1),(428,1),(440,1),(503,1)}
       379:{3,5,7}:{(324,1),(325,1),(327,1),(426,1),(429,1)}
       380:{2,4,6,7}:{(325,1),(335,1),(344,1),(429,1),(430,1),(446,1),(499,1)}
       381:{1,3,6}:{(326,1),(329,1),(345,1),(431,1),(432,1)}
       382:{2,3,7}:{(326,1),(327,1),(346,1),(432,1),(532,1)}
       383:{3,6,7}:{(327,1),(328,1),(330,1),(433,1)}
       384:{2,5,7}:{(328,1),(331,1),(347,1),(433,1)}
       385:{2,5}:{(329,1),(340,1),(431,1)}
       386:{3,5,6}:{(330,1),(331,1),(341,1),(433,1),(434,1)}
       387:{2,4,5}:{(332,1),(333,1),(425,1),(435,1),(457,1)}
       388:{3,4,5,7}:{(332,1),(334,1),(426,1),(436,1),(437,1),(444,1),(496,1),(510,1),(540,1)}
       389:{1,3,5}:{(333,1),(336,1),(348,1),(435,1),(438,1),(500,1),(539,1),(549,1)}
       390:{2,3,5,7}:{(333,1),(334,1),(337,1),(349,1),(436,1),(439,1),(440,1)}
       391:{3,6}:{(334,1),(335,1)}
       392:{2,5,6}:{(335,1),(339,1),(351,1),(441,1)}
       393:{2,4,6}:{(336,1),(340,1),(431,1),(438,1),(442,1),(443,1),(505,1),(507,1)}
       394:{1,3,4,7}:{(336,1),(337,1),(353,1),(432,1),(439,1),(443,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       395:{3,5,7}:{(338,1),(339,1),(341,1),(441,1),(444,1),(540,1)}
       396:{2,3}:{(340,1),(354,1)}
       397:{4,5}:{(341,1),(434,1)}
       398:{1,5,6}:{(342,1),(345,1),(348,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(346,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(350,1),(356,1),(429,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(347,1),(351,1),(357,1),(430,1),(534,1)}
       402:{1,4,7}:{(345,1),(346,1),(432,1),(445,1)}
       403:{1,2,5}:{(348,1),(352,1),(363,1),(438,1),(447,1),(539,1)}
       404:{1,5,7}:{(348,1),(349,1),(353,1),(449,1)}
       405:{2,6}:{(349,1),(350,1),(449,1)}
       406:{1,3,6}:{(352,1),(354,1),(367,1),(442,1),(447,1),(450,1)}
       407:{1,2,4,7}:{(352,1),(353,1),(355,1),(368,1),(443,1),(448,1),(450,1),(508,1)}
       408:{3,5,6,7}:{(356,1),(357,1),(358,1),(366,1),(451,1),(548,1)}
       409:{4,5,7}:{(358,1),(359,1),(451,1)}
       410:{2,4,5}:{(360,1),(363,1),(370,1),(452,1),(457,1)}
       411:{1,4,5,7}:{(360,1),(361,1),(364,1),(371,1),(453,1),(454,1),(462,1),(508,1),(539,1)}
       412:{2,4,6}:{(361,1),(362,1),(365,1),(454,1),(455,1)}
       413:{3,5,6}:{(362,1),(373,1),(455,1),(456,1),(549,1)}
       414:{2,3,5}:{(363,1),(367,1),(447,1),(452,1),(457,1)}
       415:{2,5,7}:{(363,1),(364,1),(368,1),(459,1)}
       416:{1,3,6}:{(364,1),(365,1),(449,1),(454,1),(459,1),(511,1)}
       417:{4,6}:{(366,1),(369,1)}
       418:{2,3,7}:{(367,1),(368,1),(450,1),(460,1)}
       419:{3,6}:{(370,1),(452,1),(460,1)}
       420:{2,4,7}:{(370,1),(371,1),(374,1),(460,1)}
       421:{1,4,6,7}:{(371,1),(372,1),(375,1),(454,1),(461,1),(462,1)}
       422:{2,5,7}:{(372,1),(373,1),(455,1),(462,1)}
       423:{4,5,7}:{(373,1),(376,1),(456,1)}
       424:{2,6,7}:{(374,1),(375,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(387,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(379,1),(464,1),(471,1)}
       427:{1,3,5,6}:{(378,1),(381,1),(389,1),(398,1),(463,1),(466,1),(467,1),(478,1),(515,1),(524,1),(545,1)}
       428:{2,3,5,7}:{(378,1),(379,1),(382,1),(399,1),(464,1),(467,1),(468,1),(518,1)}
       429:{3,6,7}:{(379,1),(380,1),(391,1)}
       430:{2,5,6,7}:{(380,1),(384,1),(392,1),(401,1),(469,1),(518,1)}
       431:{2,6}:{(381,1),(385,1),(470,1)}
       432:{1,3,7}:{(381,1),(382,1),(402,1),(470,1)}
       433:{3,5,7}:{(383,1),(384,1),(386,1),(471,1)}
       434:{4,6}:{(386,1),(397,1),(471,1)}
       435:{1,4,5}:{(387,1),(389,1),(463,1),(472,1),(482,1),(552,1)}
       436:{2,4,5,7}:{(387,1),(388,1),(390,1),(464,1),(473,1),(474,1),(489,1),(518,1),(530,1)}
       437:{3,4,6}:{(388,1),(391,1),(474,1),(475,1),(479,1)}
       438:{2,5}:{(389,1),(393,1)}
       439:{1,3,5,7}:{(389,1),(390,1),(394,1),(404,1),(473,1),(477,1),(478,1),(522,1)}
       440:{2,3,6}:{(390,1),(391,1),(405,1),(474,1),(478,1)}
       441:{3,5,6}:{(391,1),(392,1),(395,1),(479,1)}
       442:{2,3,6}:{(393,1),(396,1),(406,1),(476,1),(480,1),(515,1)}
       443:{2,4,7}:{(393,1),(394,1),(470,1),(477,1),(480,1)}
       444:{4,5,7}:{(395,1),(397,1),(471,1),(479,1),(531,1),(547,1)}
       445:{1,5,7}:{(398,1),(399,1),(402,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(405,1),(481,1)}
       447:{1,3,5}:{(403,1),(406,1),(414,1),(476,1),(482,1)}
       448:{1,2,5,7}:{(403,1),(404,1),(407,1),(415,1),(477,1),(483,1),(484,1)}
       449:{1,6}:{(404,1),(405,1)}
       450:{1,3,7}:{(406,1),(407,1),(418,1),(480,1)}
       451:{4,6,7}:{(408,1),(409,1),(417,1),(551,1)}
       452:{3,5}:{(410,1),(419,1),(485,1)}
       453:{2,4,5,7}:{(410,1),(411,1),(415,1),(420,1),(486,1),(487,1),(489,1),(492,1),(530,1),(531,1),(547,1)}
       454:{1,4,6}:{(411,1),(412,1),(416,1),(487,1),(488,1)}
       455:{2,5,6}:{(412,1),(413,1),(422,1),(488,1),(546,1)}
       456:{4,5,6}:{(413,1),(417,1),(423,1),(552,1)}
       457:{2,4}:{(414,1),(482,1),(485,1)}
       458:{2,3,5,7}:{(414,1),(415,1),(418,1),(483,1),(486,1),(489,1),(490,1),(530,1)}
       459:{2,6}:{(415,1),(416,1)}
       460:{3,7}:{(419,1),(420,1)}
       461:{2,4,6,7}:{(420,1),(421,1),(424,1),(487,1),(491,1),(492,1),(531,1)}
       462:{1,5,7}:{(421,1),(422,1),(488,1),(492,1)}
       463:{1,4,6}:{(425,1),(427,1),(435,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(428,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(437,1),(495,1),(496,1),(499,1)}
       466:{2,5,6}:{(427,1),(431,1),(438,1),(493,1),(497,1),(507,1)}
       467:{1,3,5,7}:{(427,1),(428,1),(432,1),(445,1),(494,1),(497,1),(498,1),(532,1),(534,1),(548,1)}
       468:{2,3,6,7}:{(428,1),(429,1),(440,1),(446,1),(495,1),(498,1)}
       469:{3,5,6,7}:{(429,1),(430,1),(433,1),(441,1),(496,1),(499,1)}
       470:{2,7}:{(431,1),(432,1)}
       471:{4,7}:{(433,1),(434,1)}
       472:{2,4,5}:{(435,1),(438,1),(493,1),(500,1),(505,1)}
       473:{1,4,5,7}:{(435,1),(436,1),(439,1),(494,1),(501,1),(502,1),(508,1),(534,1),(539,1)}
       474:{2,4,6}:{(436,1),(437,1),(440,1),(502,1),(503,1)}
       475:{3,5,6}:{(437,1),(496,1),(503,1),(504,1),(540,1)}
       476:{2,3,5}:{(438,1),(442,1),(447,1),(500,1),(505,1)}
       477:{2,5,7}:{(438,1),(439,1),(443,1),(507,1)}
       478:{1,3,6}:{(439,1),(440,1),(449,1),(502,1),(507,1),(536,1)}
       479:{4,6}:{(441,1),(444,1)}
       480:{2,3,7}:{(442,1),(443,1),(450,1),(532,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(457,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(458,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(459,1),(507,1),(509,1)}
       485:{3,4}:{(452,1),(457,1)}
       486:{3,5,7}:{(452,1),(453,1),(460,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(453,1),(454,1),(459,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(454,1),(455,1),(462,1),(512,1),(539,1)}
       489:{2,4,7}:{(457,1),(458,1),(508,1),(510,1),(513,1)}
       490:{2,3,6}:{(458,1),(459,1),(509,1),(511,1),(513,1)}
       491:{3,6,7}:{(460,1),(461,1),(511,1),(514,1)}
       492:{2,5,7}:{(461,1),(462,1),(512,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(472,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(467,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(474,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(475,1),(518,1),(519,1)}
       497:{2,5,7}:{(466,1),(467,1),(470,1),(516,1),(520,1)}
       498:{1,3,6,7}:{(467,1),(468,1),(478,1),(481,1),(517,1),(520,1),(542,1)}
       499:{4,6,7}:{(469,1),(471,1),(479,1),(519,1)}
       500:{3,5}:{(472,1),(515,1),(521,1)}
       501:{2,4,5,7}:{(472,1),(473,1),(477,1),(516,1),(522,1),(523,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       502:{1,4,6}:{(473,1),(474,1),(478,1),(523,1),(524,1)}
       503:{2,5,6}:{(474,1),(475,1),(518,1),(524,1),(530,1)}
       504:{4,5,6}:{(475,1),(479,1),(519,1),(547,1)}
       505:{2,4}:{(476,1),(482,1),(521,1)}
       506:{2,3,5,7}:{(476,1),(477,1),(480,1),(483,1),(522,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(477,1),(478,1)}
       508:{1,4,7}:{(482,1),(483,1),(489,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(490,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(489,1),(528,1),(531,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(492,1),(529,1),(530,1)}
       513:{2,4,6}:{(489,1),(490,1),(527,1),(528,1),(530,1)}
       514:{3,5,7}:{(491,1),(492,1),(529,1),(531,1)}
       515:{3,6}:{(493,1),(500,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(497,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(498,1),(502,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(503,1),(534,1)}
       519:{4,5,7}:{(496,1),(499,1),(504,1)}
       520:{2,6,7}:{(497,1),(498,1),(507,1)}
       521:{3,4}:{(500,1),(505,1)}
       522:{3,5,7}:{(500,1),(501,1),(532,1),(535,1),(536,1),(549,1)}
       523:{2,4,6}:{(501,1),(502,1),(507,1),(536,1),(537,1),(550,1)}
       524:{1,5,6}:{(502,1),(503,1),(534,1),(537,1),(539,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(513,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(513,1),(539,1),(540,1)}
       531:{4,7}:{(514,1),(541,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(520,1),(523,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(524,1),(543,1)}
       535:{3,4,7}:{(521,1),(522,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{2,5,6}:{(523,1),(524,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{3,5}:{(528,1),(530,1),(547,1)}
       541:{4,6}:{(529,1),(531,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 289 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(41,1),(66,1),(106,1),(239,1),(310,1),(322,1)}
         1:{1,3,4,7}:{(0,1),(4,1),(5,1),(6,1),(22,1),(73,1),(82,1),(95,1),(185,1),(294,1),(374,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(361,1),(372,1)}
         3:{2,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(39,1),(70,1),(151,1),(154,1),(179,1),(186,1),(257,1),(268,1)}
         4:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(347,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(52,1),(418,1)}
         6:{1,3,4,6}:{(1,1),(3,1),(13,1),(15,1),(16,1),(44,1),(60,1),(112,1),(115,1),(124,1),(129,1),(135,1),(232,1),(240,1),(323,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(17,1),(18,1),(21,1),(64,1),(66,1),(106,1),(202,1)}
         8:{2,3,6}:{(2,1),(15,1),(18,1),(407,1),(417,1)}
         9:{2,3,5}:{(3,1),(16,1),(21,1),(202,1),(309,1),(321,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(68,1),(73,1),(374,1),(377,1)}
        11:{2,3,7}:{(4,1),(22,1),(27,1),(185,1)}
        12:{2,5,7}:{(4,1),(5,1),(29,1),(30,1)}
        13:{2,4,6}:{(4,1),(6,1),(27,1),(29,1),(30,1),(86,1),(287,1),(295,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(28,1),(31,1),(34,1),(73,1),(93,1),(95,1),(160,1)}
        15:{1,3,6}:{(5,1),(8,1),(29,1),(31,1),(87,1),(454,1)}
        16:{1,3,5}:{(6,1),(9,1),(30,1),(34,1),(92,1),(160,1),(174,1),(373,1)}
        17:{3,4,5,7}:{(7,1),(35,1),(40,1),(98,1),(103,1),(150,1),(253,1),(358,1),(361,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(35,1),(37,1)}
        19:{2,3,6,7}:{(8,1),(32,1),(36,1),(38,1),(194,1),(296,1)}
        20:{2,3,5,6}:{(8,1),(9,1),(33,1),(37,1),(38,1),(39,1),(102,1),(186,1),(190,1)}
        21:{2,4,5}:{(9,1),(34,1),(39,1),(40,1),(154,1)}
        22:{1,3,7}:{(10,1),(11,1),(41,1),(44,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(43,1),(45,1),(46,1),(104,1),(418,1)}
        24:{1,2,4,6}:{(10,1),(13,1),(44,1),(45,1),(46,1),(105,1),(112,1),(115,1),(323,1),(324,1),(326,1)}
        25:{2,3,4,7}:{(11,1),(42,1),(47,1),(48,1),(49,1),(223,1),(230,1),(322,1),(401,1)}
        26:{2,3,5,7}:{(11,1),(12,1),(43,1),(49,1),(50,1),(51,1),(52,1),(126,1)}
        27:{2,3,6}:{(11,1),(13,1),(44,1),(51,1),(135,1),(339,1)}
        28:{2,4,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(56,1),(126,1),(132,1),(134,1),(226,1),(234,1)}
        29:{2,6}:{(12,1),(15,1)}
        30:{2,5}:{(13,1),(16,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(53,1),(58,1)}
        32:{1,3,6,7}:{(15,1),(19,1),(54,1),(57,1),(59,1),(130,1),(348,1)}
        33:{1,3,5,6}:{(15,1),(16,1),(20,1),(55,1),(58,1),(59,1),(60,1),(131,1),(135,1),(240,1),(244,1)}
        34:{1,4,5}:{(16,1),(21,1),(56,1),(60,1),(115,1),(226,1)}
        35:{3,4,6}:{(17,1),(18,1),(63,1),(404,1),(407,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(57,1),(62,1),(64,1),(66,1)}
        37:{2,5,6}:{(18,1),(58,1),(63,1),(64,1),(202,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(59,1),(64,1),(66,1),(146,1),(239,1),(243,1)}
        39:{2,4,6}:{(20,1),(21,1),(60,1),(66,1),(67,1)}
        40:{3,4,5}:{(21,1),(67,1),(205,1),(309,1),(547,1)}
        41:{2,3,7}:{(22,1),(68,1),(70,1),(354,1)}
        42:{1,3,4,7}:{(22,1),(25,1),(68,1),(71,1),(72,1),(73,1),(150,1),(261,1),(354,1),(374,1),(441,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(26,1),(69,1),(73,1),(74,1),(75,1),(160,1)}
        44:{1,3,6}:{(22,1),(24,1),(27,1),(70,1),(75,1),(376,1)}
        45:{1,2,6}:{(23,1),(29,1),(74,1),(148,1),(454,1)}
        46:{1,2,5}:{(24,1),(30,1),(75,1),(149,1),(160,1),(373,1)}
        47:{2,3,5,7}:{(25,1),(71,1),(79,1),(80,1),(81,1),(283,1),(372,1)}
        48:{2,3,4,6}:{(25,1),(27,1),(72,1),(80,1),(81,1),(83,1),(86,1),(171,1),(178,1),(258,1),(268,1),(355,1)}
        49:{2,4,7}:{(26,1),(73,1),(82,1),(83,1),(86,1)}
        50:{2,3,6}:{(26,1),(29,1),(74,1),(83,1),(87,1)}
        51:{2,3,5}:{(27,1),(30,1),(75,1),(86,1),(92,1)}
        52:{3,5,7}:{(28,1),(82,1),(87,1),(92,1),(174,1),(185,1)}
        53:{2,4,6}:{(28,1),(29,1),(31,1),(87,1),(89,1),(181,1)}
        54:{2,6,7}:{(29,1),(32,1),(90,1)}
        55:{2,5,6}:{(29,1),(30,1),(33,1),(90,1),(91,1),(295,1)}
        56:{2,4,5}:{(30,1),(34,1),(86,1),(91,1),(92,1)}
        57:{1,4,6,7}:{(31,1),(32,1),(36,1),(88,1),(93,1),(95,1)}
        58:{1,5,6}:{(31,1),(37,1),(89,1),(93,1),(160,1)}
        59:{1,3,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(95,1),(180,1),(185,1),(294,1),(297,1)}
        60:{1,4,6}:{(33,1),(34,1),(39,1),(91,1),(95,1),(181,1)}
        61:{1,3,4,5}:{(34,1),(40,1),(92,1),(96,1),(97,1),(163,1),(187,1),(266,1),(281,1),(383,1),(461,1)}
        62:{3,4,6,7}:{(35,1),(36,1),(98,1),(103,1),(193,1),(194,1)}
        63:{3,5,6}:{(35,1),(37,1),(98,1),(99,1),(253,1)}
        64:{2,5,7}:{(36,1),(37,1),(93,1),(98,1)}
        65:{2,4,5,6}:{(37,1),(39,1),(94,1),(99,1),(101,1),(102,1),(190,1),(255,1),(360,1),(392,1),(511,1),(540,1)}
        66:{2,4,7}:{(38,1),(39,1),(95,1),(103,1)}
        67:{3,4,6}:{(39,1),(40,1),(102,1),(103,1),(540,1)}
        68:{2,4,7}:{(41,1),(42,1),(104,1),(105,1),(475,1)}
        69:{2,3,5,7}:{(41,1),(43,1),(104,1),(106,1),(107,1),(108,1),(195,1),(202,1)}
        70:{2,3,6}:{(41,1),(44,1),(105,1),(108,1),(303,1),(412,1)}
        71:{1,3,5,7}:{(42,1),(47,1),(104,1),(109,1),(110,1),(111,1),(195,1),(418,1)}
        72:{1,3,4,6}:{(42,1),(44,1),(48,1),(105,1),(110,1),(111,1),(112,1),(115,1),(200,1),(205,1),(209,1),(303,1),(312,1),(323,1),(402,1)}
        73:{1,4,7}:{(43,1),(49,1),(106,1),(112,1),(115,1)}
        74:{1,3,6}:{(43,1),(45,1),(50,1),(107,1),(112,1)}
        75:{1,3,5}:{(44,1),(46,1),(51,1),(108,1),(115,1)}
        76:{1,2,6,7}:{(45,1),(54,1),(113,1),(116,1),(197,1),(348,1),(417,1),(434,1),(484,1),(485,1),(520,1)}
        77:{1,2,5,6}:{(45,1),(46,1),(55,1),(114,1),(116,1),(117,1),(198,1),(244,1),(321,1),(326,1),(346,1),(415,1),(417,1),(419,1),(474,1),(485,1)}
        78:{1,2,4,5}:{(46,1),(56,1),(115,1),(117,1),(118,1),(142,1),(199,1),(212,1),(215,1),(241,1),(318,1),(321,1),(324,1),(403,1),(419,1),(425,1),(479,1),(487,1)}
        79:{2,4,5,7}:{(47,1),(49,1),(109,1),(119,1),(120,1),(123,1),(126,1),(221,1),(223,1)}
        80:{2,3,6}:{(47,1),(110,1),(120,1),(334,1),(417,1)}
        81:{2,3,5}:{(48,1),(111,1),(123,1),(126,1),(229,1),(321,1)}
        82:{3,4,7}:{(49,1),(52,1),(124,1),(129,1),(234,1)}
        83:{2,4,6}:{(49,1),(50,1),(112,1),(124,1),(126,1)}
        84:{2,3,6,7}:{(50,1),(54,1),(113,1),(125,1),(127,1),(130,1),(334,1),(417,1),(520,1),(525,1),(543,1)}
        85:{2,3,5,6}:{(50,1),(51,1),(55,1),(114,1),(126,1),(127,1),(128,1),(131,1),(135,1),(217,1),(227,1),(229,1),(321,1),(334,1),(417,1),(474,1),(482,1),(519,1),(525,1),(544,1),(546,1)}
        86:{2,4}:{(51,1),(115,1),(129,1)}
        87:{3,6}:{(52,1),(53,1)}
        88:{2,4,6,7}:{(53,1),(54,1),(57,1),(130,1),(132,1),(134,1),(234,1)}
        89:{2,5,6}:{(53,1),(58,1),(126,1),(131,1),(132,1)}
        90:{2,5,7}:{(54,1),(55,1),(59,1),(134,1),(347,1)}
        91:{2,4,6}:{(55,1),(56,1),(60,1),(134,1),(135,1)}
        92:{3,5}:{(56,1),(129,1),(135,1)}
        93:{1,5,7}:{(57,1),(58,1),(64,1),(132,1)}
        94:{1,4,5,6}:{(58,1),(60,1),(65,1),(133,1),(138,1),(139,1),(212,1),(244,1),(319,1),(343,1),(488,1)}
        95:{1,4,7}:{(59,1),(60,1),(66,1),(134,1),(234,1)}
        96:{1,3,4,6}:{(60,1),(61,1),(67,1),(135,1),(139,1),(140,1),(141,1),(235,1),(240,1),(343,1),(433,1)}
        97:{2,4,5}:{(61,1),(136,1),(141,1),(142,1),(215,1),(241,1),(321,1)}
        98:{3,5,7}:{(62,1),(63,1),(64,1),(144,1)}
        99:{4,5,6}:{(63,1),(144,1),(306,1),(404,1)}
       100:{2,5,6,7}:{(64,1),(137,1),(143,1),(145,1),(307,1),(494,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(66,1),(138,1),(144,1),(145,1),(146,1),(243,1),(432,1),(494,1),(531,1)}
       102:{3,5,6}:{(65,1),(67,1),(146,1),(309,1),(407,1),(433,1)}
       103:{3,4,7}:{(66,1),(67,1),(146,1),(531,1)}
       104:{2,5,7}:{(68,1),(71,1),(148,1),(149,1)}
       105:{2,4,6}:{(68,1),(70,1),(72,1),(148,1),(149,1),(154,1),(365,1),(442,1)}
       106:{2,4,7}:{(69,1),(73,1),(150,1),(151,1),(154,1)}
       107:{2,3,6}:{(69,1),(74,1),(148,1),(151,1),(246,1)}
       108:{2,3,5}:{(70,1),(75,1),(149,1),(154,1),(251,1)}
       109:{1,4,5,7}:{(71,1),(73,1),(79,1),(147,1),(155,1),(158,1),(160,1),(259,1),(261,1)}
       110:{1,3,6}:{(71,1),(80,1),(148,1),(155,1),(246,1),(454,1)}
       111:{1,3,5}:{(72,1),(81,1),(149,1),(158,1),(160,1),(251,1),(253,1),(373,1)}
       112:{1,4,6}:{(73,1),(74,1),(83,1),(151,1),(160,1)}
       113:{1,3,6,7}:{(74,1),(76,1),(84,1),(152,1),(159,1),(161,1),(371,1),(454,1),(509,1)}
       114:{1,3,5,6}:{(74,1),(75,1),(77,1),(85,1),(153,1),(160,1),(161,1),(162,1),(165,1),(264,1),(266,1),(271,1),(371,1),(373,1),(454,1),(456,1),(509,1),(539,1)}
       115:{1,4}:{(75,1),(86,1),(154,1)}
       116:{1,2,5,7}:{(76,1),(77,1),(90,1),(161,1),(164,1),(249,1),(297,1),(372,1),(377,1),(394,1),(453,1),(501,1)}
       117:{1,2,4,6}:{(77,1),(78,1),(91,1),(162,1),(164,1),(165,1),(192,1),(250,1),(268,1),(295,1),(370,1),(392,1),(442,1),(499,1)}
       118:{1,3,5}:{(78,1),(92,1),(163,1),(165,1),(166,1),(251,1),(376,1),(461,1),(505,1)}
       119:{3,4,5,7}:{(79,1),(82,1),(167,1),(172,1),(174,1),(273,1),(278,1),(280,1),(283,1)}
       120:{2,4,6}:{(79,1),(80,1),(155,1),(167,1),(169,1)}
       121:{2,3,6,7}:{(80,1),(156,1),(168,1),(170,1),(379,1),(452,1)}
       122:{2,3,5,6}:{(80,1),(81,1),(157,1),(169,1),(170,1),(171,1),(277,1),(355,1),(368,1)}
       123:{2,4,5}:{(81,1),(86,1),(158,1),(171,1),(172,1)}
       124:{3,4,6}:{(82,1),(83,1),(87,1),(174,1),(181,1)}
       125:{2,4,6,7}:{(83,1),(84,1),(159,1),(173,1),(175,1),(177,1),(282,1),(538,1)}
       126:{2,5}:{(83,1),(160,1),(174,1)}
       127:{2,3,5,7}:{(84,1),(85,1),(90,1),(161,1),(175,1),(177,1),(180,1),(185,1),(270,1),(283,1),(372,1),(501,1),(534,1),(548,1)}
       128:{2,4,6}:{(85,1),(86,1),(162,1),(176,1),(177,1),(178,1),(181,1),(508,1),(549,1)}
       129:{3,4}:{(86,1),(92,1)}
       130:{3,6,7}:{(87,1),(88,1),(180,1),(185,1)}
       131:{3,5,6}:{(87,1),(89,1),(174,1),(180,1),(181,1)}
       132:{2,5,7}:{(88,1),(89,1),(93,1),(180,1)}
       133:{2,4,5,6}:{(89,1),(91,1),(94,1),(176,1),(181,1),(183,1),(184,1),(190,1),(282,1),(290,1),(380,1),(458,1)}
       134:{2,4,7}:{(90,1),(91,1),(95,1),(185,1)}
       135:{3,6}:{(91,1),(92,1),(185,1)}
       136:{2,3,5}:{(92,1),(97,1),(179,1),(186,1),(187,1),(461,1)}
       137:{1,5,6,7}:{(93,1),(100,1),(182,1),(188,1),(264,1),(465,1)}
       138:{1,4,5,7}:{(93,1),(94,1),(95,1),(101,1),(183,1),(188,1),(189,1),(297,1),(391,1),(465,1)}
       139:{1,3,5,6}:{(94,1),(96,1),(102,1),(184,1),(189,1),(190,1),(266,1),(371,1)}
       140:{1,3,4,7}:{(95,1),(96,1),(103,1),(185,1),(189,1),(191,1),(289,1),(294,1),(391,1),(467,1)}
       141:{2,4,6}:{(96,1),(97,1),(186,1),(190,1),(191,1),(192,1),(295,1)}
       142:{1,4,5}:{(97,1),(187,1),(192,1),(269,1),(373,1)}
       143:{3,5,6,7}:{(98,1),(100,1),(193,1),(194,1),(357,1),(515,1)}
       144:{4,5,7}:{(98,1),(99,1),(193,1)}
       145:{2,4,6,7}:{(100,1),(101,1),(188,1),(193,1),(194,1),(296,1),(360,1)}
       146:{3,5,7}:{(101,1),(102,1),(103,1),(194,1),(467,1)}
       147:{2,4,5,7}:{(104,1),(106,1),(109,1),(195,1),(196,1),(199,1),(202,1),(300,1),(302,1),(306,1),(396,1)}
       148:{2,6}:{(104,1),(110,1)}
       149:{2,5}:{(105,1),(111,1)}
       150:{3,4,7}:{(106,1),(195,1),(200,1),(205,1),(396,1)}
       151:{2,4,6}:{(106,1),(107,1),(112,1),(200,1),(202,1)}
       152:{2,3,6,7}:{(107,1),(113,1),(197,1),(201,1),(203,1),(298,1),(407,1),(417,1),(434,1),(492,1),(495,1)}
       153:{2,3,5,6}:{(107,1),(108,1),(114,1),(198,1),(202,1),(203,1),(204,1),(217,1),(299,1),(303,1),(307,1),(309,1),(321,1),(346,1),(407,1),(417,1),(428,1),(433,1),(492,1),(528,1),(530,1)}
       154:{2,4}:{(108,1),(115,1),(205,1)}
       155:{1,4,6}:{(109,1),(110,1),(120,1),(196,1),(207,1)}
       156:{1,3,6,7}:{(110,1),(121,1),(197,1),(206,1),(208,1),(298,1),(484,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(122,1),(198,1),(207,1),(208,1),(209,1),(299,1),(303,1),(402,1),(415,1)}
       158:{1,4,5}:{(111,1),(115,1),(123,1),(199,1),(209,1),(306,1)}
       159:{1,4,6,7}:{(112,1),(113,1),(125,1),(201,1),(211,1),(213,1),(319,1),(527,1)}
       160:{1,5}:{(112,1),(126,1),(202,1)}
       161:{1,3,5,7}:{(113,1),(114,1),(116,1),(127,1),(203,1),(211,1),(213,1),(216,1),(325,1),(418,1)}
       162:{1,4,6}:{(114,1),(115,1),(128,1),(204,1),(212,1),(213,1),(487,1)}
       163:{1,3,4}:{(115,1),(118,1),(129,1),(205,1),(215,1),(487,1),(491,1),(524,1)}
       164:{1,2,4,7}:{(116,1),(117,1),(134,1),(213,1),(216,1),(245,1),(302,1),(322,1),(347,1),(416,1),(432,1),(475,1),(518,1)}
       165:{1,3,6}:{(117,1),(118,1),(135,1),(216,1),(217,1),(303,1),(433,1),(519,1)}
       166:{2,3,5}:{(118,1),(215,1),(217,1),(218,1),(241,1),(321,1),(339,1),(403,1),(412,1)}
       167:{3,4,6}:{(119,1),(120,1),(220,1),(331,1),(334,1)}
       168:{2,4,6,7}:{(120,1),(121,1),(206,1),(219,1),(221,1),(223,1)}
       169:{2,5,6}:{(120,1),(126,1),(207,1),(220,1),(221,1)}
       170:{2,3,5,7}:{(121,1),(122,1),(208,1),(221,1),(223,1),(330,1),(401,1),(414,1)}
       171:{2,4,6}:{(122,1),(123,1),(209,1),(223,1),(224,1)}
       172:{3,4,5}:{(123,1),(129,1),(224,1),(229,1),(552,1)}
       173:{3,4,6,7}:{(124,1),(125,1),(130,1),(225,1),(230,1),(234,1),(331,1),(334,1),(543,1),(545,1),(551,1)}
       174:{3,5}:{(124,1),(126,1),(226,1)}
       175:{2,5,7}:{(125,1),(126,1),(211,1),(225,1),(227,1),(546,1)}
       176:{2,4,5}:{(126,1),(128,1),(212,1),(226,1),(229,1),(321,1),(546,1),(552,1)}
       177:{2,4,7}:{(127,1),(128,1),(213,1),(230,1),(234,1),(551,1)}
       178:{3,4,6}:{(128,1),(129,1),(135,1),(229,1),(230,1),(334,1),(519,1),(524,1)}
       179:{2,3,4}:{(129,1),(136,1),(215,1),(232,1),(412,1),(491,1)}
       180:{3,5,7}:{(130,1),(131,1),(132,1),(234,1)}
       181:{4,6}:{(131,1),(226,1),(234,1)}
       182:{2,5,6,7}:{(132,1),(137,1),(227,1),(233,1),(236,1),(430,1)}
       183:{2,4,5,7}:{(132,1),(133,1),(134,1),(138,1),(234,1),(236,1),(237,1),(243,1),(340,1),(342,1),(430,1)}
       184:{3,5,6}:{(133,1),(135,1),(229,1),(235,1),(237,1),(334,1)}
       185:{3,7}:{(134,1),(135,1)}
       186:{2,3,6}:{(135,1),(136,1),(141,1),(239,1),(240,1),(433,1)}
       187:{1,3,5}:{(136,1),(142,1),(232,1),(240,1),(241,1)}
       188:{1,4,6,7}:{(137,1),(138,1),(145,1),(236,1),(242,1),(319,1),(348,1)}
       189:{1,3,5,7}:{(138,1),(139,1),(140,1),(146,1),(237,1),(242,1),(243,1)}
       190:{2,5,6}:{(139,1),(141,1),(243,1),(244,1),(321,1),(417,1)}
       191:{2,4,7}:{(140,1),(141,1),(239,1),(243,1),(245,1),(347,1)}
       192:{1,4,6}:{(141,1),(142,1),(240,1),(244,1),(245,1)}
       193:{4,6,7}:{(143,1),(144,1),(404,1),(531,1)}
       194:{3,6,7}:{(145,1),(146,1),(407,1)}
       195:{3,5,7}:{(147,1),(150,1),(246,1),(251,1),(253,1),(354,1)}
       196:{2,4,6}:{(147,1),(148,1),(155,1),(246,1),(248,1),(350,1)}
       197:{2,6,7}:{(148,1),(156,1),(249,1)}
       198:{2,5,6}:{(148,1),(149,1),(157,1),(249,1),(250,1),(442,1)}
       199:{2,4,5}:{(149,1),(154,1),(158,1),(250,1),(251,1)}
       200:{3,4,6}:{(150,1),(151,1),(246,1),(253,1),(350,1)}
       201:{2,4,6,7}:{(151,1),(152,1),(159,1),(252,1),(254,1),(256,1),(360,1),(514,1)}
       202:{2,5}:{(151,1),(160,1),(253,1)}
       203:{2,3,5,7}:{(152,1),(153,1),(161,1),(249,1),(254,1),(256,1),(270,1),(349,1),(354,1),(361,1),(372,1),(394,1),(467,1),(515,1)}
       204:{2,4,6}:{(153,1),(154,1),(162,1),(255,1),(256,1),(257,1),(350,1),(464,1),(540,1)}
       205:{3,4}:{(154,1),(251,1)}
       206:{1,4,6,7}:{(155,1),(156,1),(168,1),(247,1),(259,1),(261,1)}
       207:{1,5,6}:{(155,1),(160,1),(169,1),(248,1),(259,1)}
       208:{1,3,5,7}:{(156,1),(157,1),(170,1),(249,1),(259,1),(261,1),(349,1),(354,1),(441,1),(453,1)}
       209:{1,4,6}:{(157,1),(158,1),(171,1),(250,1),(261,1),(350,1)}
       210:{1,3,4,5}:{(158,1),(163,1),(172,1),(251,1),(262,1),(263,1),(266,1),(356,1),(359,1),(446,1),(505,1)}
       211:{1,5,7}:{(159,1),(160,1),(175,1),(254,1),(264,1),(539,1)}
       212:{1,4,5}:{(160,1),(162,1),(176,1),(255,1),(266,1),(373,1),(539,1)}
       213:{1,4,7}:{(161,1),(162,1),(177,1),(256,1)}
       214:{1,3,4,6}:{(162,1),(163,1),(165,1),(178,1),(257,1),(266,1),(267,1),(268,1),(371,1)}
       215:{2,4}:{(163,1),(166,1),(269,1)}
       216:{1,3,7}:{(164,1),(165,1),(185,1),(270,1),(354,1),(467,1),(534,1)}
       217:{2,3,6}:{(165,1),(166,1),(268,1),(270,1),(271,1),(295,1),(442,1)}
       218:{1,3,5}:{(166,1),(269,1),(271,1),(272,1),(373,1),(376,1)}
       219:{3,4,6,7}:{(167,1),(168,1),(273,1),(278,1),(378,1),(379,1)}
       220:{3,5,6}:{(167,1),(169,1),(174,1),(273,1),(274,1)}
       221:{2,5,7}:{(168,1),(169,1),(259,1),(273,1)}
       222:{2,4,5,6}:{(169,1),(171,1),(176,1),(260,1),(274,1),(276,1),(277,1),(282,1),(368,1),(499,1),(535,1),(549,1)}
       223:{2,4,7}:{(170,1),(171,1),(261,1),(278,1)}
       224:{3,4,6}:{(171,1),(172,1),(277,1),(278,1),(549,1)}
       225:{3,5,7}:{(173,1),(174,1),(175,1),(279,1),(280,1),(550,1)}
       226:{4,5}:{(174,1),(181,1)}
       227:{2,5,6}:{(175,1),(264,1),(279,1),(282,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(177,1),(265,1),(280,1),(282,1),(283,1),(372,1)}
       229:{3,5}:{(176,1),(178,1)}
       230:{3,4,7}:{(177,1),(178,1),(185,1),(283,1),(534,1)}
       231:{2,3,4,6}:{(178,1),(179,1),(186,1),(268,1),(284,1),(285,1),(286,1),(290,1),(384,1),(451,1),(508,1),(538,1)}
       232:{1,3,4}:{(179,1),(187,1),(269,1),(287,1),(376,1)}
       233:{3,5,6,7}:{(180,1),(182,1),(279,1),(288,1),(291,1),(389,1)}
       234:{4,7}:{(180,1),(181,1)}
       235:{3,4,6}:{(181,1),(184,1),(281,1),(289,1),(290,1)}
       236:{2,4,6,7}:{(182,1),(183,1),(188,1),(282,1),(288,1),(291,1),(296,1)}
       237:{3,5,7}:{(183,1),(184,1),(185,1),(289,1),(291,1)}
       238:{2,3,5,6}:{(184,1),(186,1),(190,1),(284,1),(290,1),(292,1),(293,1),(384,1),(458,1)}
       239:{2,3,7}:{(185,1),(186,1),(191,1),(294,1),(467,1)}
       240:{1,3,6}:{(186,1),(187,1),(192,1),(294,1),(295,1)}
       241:{2,5}:{(187,1),(287,1),(295,1)}
       242:{1,3,6,7}:{(188,1),(189,1),(194,1),(291,1),(296,1),(371,1)}
       243:{2,5,7}:{(189,1),(190,1),(191,1),(296,1),(297,1)}
       244:{1,5,6}:{(190,1),(192,1),(297,1),(373,1),(454,1)}
       245:{1,4,7}:{(191,1),(192,1),(294,1),(297,1)}
       246:{3,6}:{(195,1),(196,1)}
       247:{2,4,6,7}:{(196,1),(197,1),(206,1),(298,1),(300,1),(302,1),(396,1)}
       248:{2,5,6}:{(196,1),(202,1),(207,1),(299,1),(300,1)}
       249:{2,5,7}:{(197,1),(198,1),(208,1),(302,1),(475,1)}
       250:{2,4,6}:{(198,1),(199,1),(209,1),(302,1),(303,1)}
       251:{3,5}:{(199,1),(205,1),(303,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(298,1),(305,1),(310,1),(396,1),(404,1),(407,1),(495,1),(529,1),(531,1)}
       253:{3,5}:{(200,1),(202,1),(306,1)}
       254:{2,5,7}:{(201,1),(202,1),(211,1),(305,1),(307,1),(530,1)}
       255:{2,4,5}:{(202,1),(204,1),(212,1),(306,1),(309,1),(321,1),(530,1),(547,1)}
       256:{2,4,7}:{(203,1),(204,1),(213,1),(310,1),(396,1),(531,1)}
       257:{3,4,6}:{(204,1),(205,1),(303,1),(309,1),(310,1),(407,1),(433,1),(491,1)}
       258:{2,3,4}:{(205,1),(215,1),(304,1),(312,1),(339,1),(524,1)}
       259:{1,5,7}:{(206,1),(207,1),(221,1),(300,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(212,1),(222,1),(301,1),(314,1),(315,1),(319,1),(415,1),(471,1),(521,1)}
       261:{1,4,7}:{(208,1),(209,1),(223,1),(302,1),(396,1)}
       262:{1,3,4,6}:{(209,1),(210,1),(224,1),(303,1),(315,1),(316,1),(317,1),(397,1),(402,1),(471,1),(519,1)}
       263:{2,4,5}:{(210,1),(215,1),(304,1),(317,1),(318,1),(321,1),(403,1)}
       264:{1,5,6}:{(211,1),(227,1),(307,1),(319,1)}
       265:{1,4,5,7}:{(211,1),(212,1),(213,1),(228,1),(308,1),(319,1),(320,1),(418,1)}
       266:{1,3,5}:{(212,1),(214,1),(229,1),(309,1),(321,1)}
       267:{1,3,4,7}:{(213,1),(214,1),(216,1),(230,1),(310,1),(320,1),(322,1)}
       268:{2,4,6}:{(214,1),(215,1),(217,1),(321,1),(322,1),(323,1),(417,1)}
       269:{1,4}:{(215,1),(218,1)}
       270:{2,3,7}:{(216,1),(217,1),(322,1),(325,1),(347,1),(475,1)}
       271:{1,3,6}:{(217,1),(218,1),(323,1),(325,1),(326,1)}
       272:{1,2,5}:{(218,1),(241,1),(324,1),(326,1),(403,1)}
       273:{3,5,7}:{(219,1),(220,1),(221,1),(328,1)}
       274:{4,5,6}:{(220,1),(226,1),(328,1),(331,1)}
       275:{2,5,6,7}:{(221,1),(227,1),(313,1),(327,1),(329,1),(542,1)}
       276:{2,4,5,7}:{(221,1),(222,1),(223,1),(314,1),(328,1),(329,1),(330,1),(414,1),(518,1),(542,1),(551,1)}
       277:{3,5,6}:{(222,1),(224,1),(229,1),(330,1),(334,1),(519,1)}
       278:{3,4,7}:{(223,1),(224,1),(330,1),(551,1)}
       279:{3,5,6}:{(225,1),(227,1),(331,1),(334,1)}
       280:{4,5,7}:{(225,1),(226,1),(234,1),(331,1),(551,1),(552,1)}
       281:{3,4,5}:{(226,1),(229,1),(235,1),(333,1),(524,1)}
       282:{2,4,6}:{(227,1),(228,1),(319,1),(331,1),(334,1),(417,1)}
       283:{3,5,7}:{(228,1),(229,1),(230,1),(334,1)}
       284:{2,3,5}:{(229,1),(231,1),(321,1),(333,1),(336,1),(546,1)}
       285:{2,3,4,7}:{(230,1),(231,1),(239,1),(322,1),(335,1),(337,1),(342,1),(483,1),(526,1)}
       286:{1,3,4,6}:{(231,1),(232,1),(240,1),(323,1),(336,1),(337,1),(338,1),(343,1),(421,1),(426,1),(433,1),(487,1),(491,1),(527,1),(529,1)}
       287:{2,4}:{(232,1),(241,1),(339,1)}
       288:{4,6,7}:{(233,1),(234,1),(331,1),(340,1)}
       289:{3,4,7}:{(234,1),(235,1),(237,1),(342,1)}
       290:{2,4,6}:{(235,1),(238,1),(333,1),(342,1),(343,1)}
       291:{3,6,7}:{(236,1),(237,1),(334,1)}
       292:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(342,1),(344,1),(345,1),(430,1)}
       293:{1,3,5,6}:{(238,1),(240,1),(244,1),(336,1),(343,1),(345,1),(346,1),(426,1),(433,1),(488,1),(528,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,6}:{(240,1),(241,1),(347,1)}
       296:{2,6,7}:{(242,1),(243,1),(348,1),(417,1)}
       297:{1,5,7}:{(243,1),(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(247,1),(349,1),(354,1)}
       299:{3,5,6}:{(246,1),(248,1),(253,1),(349,1),(350,1)}
       300:{2,5,7}:{(247,1),(248,1),(259,1),(349,1)}
       301:{2,4,5,6}:{(248,1),(250,1),(255,1),(260,1),(350,1),(352,1),(353,1),(360,1),(368,1),(437,1),(443,1),(502,1)}
       302:{2,4,7}:{(249,1),(250,1),(261,1),(354,1)}
       303:{3,6}:{(250,1),(251,1),(354,1)}
       304:{2,3,5}:{(251,1),(258,1),(263,1),(355,1),(356,1),(505,1)}
       305:{3,5,7}:{(252,1),(253,1),(254,1),(357,1),(358,1),(541,1)}
       306:{4,5}:{(253,1),(350,1)}
       307:{2,5,6}:{(254,1),(264,1),(357,1),(360,1)}
       308:{2,4,5,7}:{(254,1),(255,1),(256,1),(265,1),(358,1),(360,1),(361,1),(372,1)}
       309:{3,5}:{(255,1),(257,1)}
       310:{3,4,7}:{(256,1),(257,1),(354,1),(361,1),(467,1)}
       311:{2,3,4,6}:{(257,1),(258,1),(268,1),(355,1),(362,1),(363,1),(364,1),(388,1),(437,1),(447,1),(464,1),(514,1)}
       312:{1,3,4}:{(258,1),(269,1),(356,1),(365,1),(376,1)}
       313:{1,5,6,7}:{(259,1),(264,1),(275,1),(351,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(261,1),(276,1),(352,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(262,1),(266,1),(277,1),(353,1),(367,1),(368,1),(371,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(278,1),(354,1),(367,1),(369,1),(436,1),(441,1),(498,1),(534,1)}
       317:{2,4,6}:{(262,1),(263,1),(355,1),(368,1),(369,1),(370,1),(442,1)}
       318:{1,4,5}:{(263,1),(269,1),(356,1),(370,1),(373,1)}
       319:{1,4,6}:{(264,1),(265,1),(282,1),(360,1),(371,1),(454,1)}
       320:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(361,1),(371,1),(372,1)}
       321:{2,5}:{(266,1),(268,1),(373,1)}
       322:{2,4,7}:{(267,1),(268,1),(270,1),(372,1),(374,1)}
       323:{1,4,6}:{(268,1),(269,1),(271,1),(373,1),(374,1),(454,1)}
       324:{1,2,4}:{(269,1),(272,1),(287,1),(365,1),(376,1)}
       325:{1,3,7}:{(270,1),(271,1),(374,1),(377,1)}
       326:{1,2,6}:{(271,1),(272,1),(295,1),(377,1),(442,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(279,1),(378,1),(379,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(282,1),(366,1),(378,1),(379,1),(452,1)}
       330:{3,5,7}:{(276,1),(277,1),(278,1),(379,1),(534,1)}
       331:{4,6}:{(279,1),(280,1)}
       332:{3,4,5,7}:{(280,1),(281,1),(283,1),(289,1),(381,1),(382,1),(389,1),(537,1),(550,1)}
       333:{2,4,5}:{(281,1),(284,1),(290,1),(383,1),(508,1)}
       334:{3,6}:{(282,1),(283,1)}
       335:{2,3,5,7}:{(283,1),(284,1),(285,1),(372,1),(382,1),(384,1),(385,1)}
       336:{1,3,5}:{(284,1),(286,1),(373,1),(383,1),(386,1),(461,1),(539,1),(541,1)}
       337:{1,3,4,7}:{(285,1),(286,1),(294,1),(374,1),(385,1),(387,1),(391,1),(457,1),(467,1),(510,1),(513,1)}
       338:{2,4,6}:{(286,1),(287,1),(295,1),(386,1),(387,1),(388,1),(462,1),(464,1)}
       339:{2,3}:{(287,1),(376,1)}
       340:{4,5,7}:{(288,1),(380,1),(389,1)}
       341:{3,4,6,7}:{(288,1),(289,1),(291,1),(381,1),(389,1),(390,1)}
       342:{2,4,7}:{(289,1),(290,1),(292,1),(391,1)}
       343:{1,4,6}:{(290,1),(293,1),(383,1),(391,1),(392,1),(540,1)}
       344:{2,3,6,7}:{(291,1),(292,1),(296,1),(384,1),(390,1),(393,1)}
       345:{1,3,5,7}:{(292,1),(293,1),(294,1),(297,1),(391,1),(393,1),(394,1),(465,1),(467,1),(515,1)}
       346:{2,5,6}:{(293,1),(295,1),(386,1),(392,1),(394,1),(462,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{1,6,7}:{(296,1),(297,1),(454,1)}
       349:{3,5,7}:{(298,1),(299,1),(300,1),(396,1)}
       350:{4,6}:{(299,1),(306,1),(396,1)}
       351:{2,5,6,7}:{(300,1),(307,1),(313,1),(395,1),(398,1),(516,1)}
       352:{2,4,5,7}:{(300,1),(301,1),(302,1),(314,1),(396,1),(398,1),(399,1),(414,1),(468,1),(470,1),(516,1)}
       353:{3,5,6}:{(301,1),(303,1),(309,1),(397,1),(399,1),(407,1)}
       354:{3,7}:{(302,1),(303,1)}
       355:{2,3,6}:{(303,1),(304,1),(317,1),(401,1),(402,1),(519,1)}
       356:{1,3,5}:{(304,1),(312,1),(318,1),(402,1),(403,1)}
       357:{3,5,6}:{(305,1),(307,1),(404,1),(407,1)}
       358:{4,5,7}:{(305,1),(306,1),(396,1),(404,1),(531,1),(547,1)}
       359:{3,4,5}:{(306,1),(309,1),(397,1),(406,1),(491,1)}
       360:{2,4,6}:{(307,1),(308,1),(319,1),(404,1),(407,1),(417,1)}
       361:{3,5,7}:{(308,1),(309,1),(310,1),(407,1)}
       362:{2,3,5}:{(309,1),(311,1),(321,1),(406,1),(409,1),(530,1)}
       363:{2,3,4,7}:{(310,1),(311,1),(322,1),(401,1),(408,1),(410,1),(429,1),(470,1),(493,1)}
       364:{1,3,4,6}:{(311,1),(312,1),(323,1),(402,1),(409,1),(410,1),(411,1),(421,1),(471,1),(480,1),(487,1),(519,1),(524,1),(527,1),(545,1)}
       365:{2,4}:{(312,1),(403,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(319,1),(329,1),(398,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(316,1),(330,1),(399,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(317,1),(321,1),(414,1),(415,1),(417,1)}
       369:{2,4,7}:{(316,1),(317,1),(401,1),(414,1),(416,1),(475,1)}
       370:{1,4,6}:{(317,1),(318,1),(402,1),(415,1),(416,1)}
       371:{1,3,6}:{(319,1),(320,1),(334,1),(407,1),(417,1)}
       372:{2,5,7}:{(320,1),(321,1),(322,1),(417,1),(418,1)}
       373:{1,5}:{(321,1),(323,1)}
       374:{1,4,7}:{(322,1),(323,1),(325,1),(418,1)}
       375:{1,2,4,6}:{(323,1),(324,1),(326,1),(338,1),(411,1),(419,1),(420,1),(421,1),(485,1),(487,1),(527,1)}
       376:{1,3}:{(324,1),(339,1),(412,1)}
       377:{1,2,7}:{(325,1),(326,1),(347,1),(475,1)}
       378:{4,6,7}:{(327,1),(328,1),(331,1),(551,1)}
       379:{3,6,7}:{(329,1),(330,1),(334,1)}
       380:{4,5,6}:{(331,1),(340,1),(422,1),(552,1)}
       381:{3,4,6}:{(331,1),(332,1),(334,1),(422,1),(423,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(335,1),(342,1),(423,1),(424,1),(430,1),(526,1),(546,1)}
       383:{1,4,5}:{(333,1),(336,1),(343,1),(425,1),(487,1),(547,1)}
       384:{2,3,6}:{(334,1),(335,1),(417,1),(423,1),(426,1)}
       385:{1,3,5,7}:{(335,1),(336,1),(337,1),(418,1),(424,1),(426,1),(427,1),(490,1)}
       386:{2,5}:{(336,1),(338,1)}
       387:{2,4,7}:{(337,1),(338,1),(347,1),(427,1),(429,1)}
       388:{2,3,6}:{(338,1),(339,1),(421,1),(428,1),(429,1),(433,1)}
       389:{3,5,7}:{(340,1),(341,1),(422,1),(430,1)}
       390:{2,4,6,7}:{(341,1),(342,1),(344,1),(423,1),(430,1),(431,1)}
       391:{1,4,7}:{(342,1),(343,1),(345,1),(432,1),(531,1)}
       392:{2,4,6}:{(343,1),(346,1),(425,1),(432,1),(433,1)}
       393:{1,3,6,7}:{(344,1),(345,1),(348,1),(426,1),(431,1),(434,1),(495,1)}
       394:{2,5,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(357,1),(435,1),(438,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(359,1),(436,1),(437,1)}
       398:{2,4,6,7}:{(351,1),(352,1),(360,1),(366,1),(435,1),(438,1),(452,1)}
       399:{3,5,7}:{(352,1),(353,1),(354,1),(436,1),(438,1)}
       400:{2,3,5,6}:{(353,1),(355,1),(362,1),(368,1),(437,1),(439,1),(440,1),(447,1),(502,1)}
       401:{2,3,7}:{(354,1),(355,1),(369,1),(441,1),(534,1)}
       402:{1,3,6}:{(355,1),(356,1),(370,1),(441,1),(442,1)}
       403:{2,5}:{(356,1),(365,1),(442,1)}
       404:{4,6}:{(357,1),(358,1)}
       405:{3,4,5,7}:{(358,1),(359,1),(361,1),(436,1),(444,1),(445,1),(496,1),(513,1),(541,1)}
       406:{2,4,5}:{(359,1),(362,1),(437,1),(446,1),(464,1)}
       407:{3,6}:{(360,1),(361,1)}
       408:{2,3,5,7}:{(361,1),(362,1),(363,1),(372,1),(445,1),(447,1),(448,1)}
       409:{1,3,5}:{(362,1),(364,1),(373,1),(446,1),(449,1),(505,1),(539,1),(550,1)}
       410:{1,3,4,7}:{(363,1),(364,1),(374,1),(441,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       411:{2,4,6}:{(364,1),(365,1),(442,1),(449,1),(450,1),(451,1),(506,1),(508,1)}
       412:{2,3}:{(365,1),(376,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(379,1),(438,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(369,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(370,1),(373,1),(453,1),(454,1)}
       416:{1,4,7}:{(369,1),(370,1),(441,1),(453,1)}
       417:{2,6}:{(371,1),(372,1),(454,1)}
       418:{1,5,7}:{(372,1),(373,1),(374,1),(454,1)}
       419:{1,2,5}:{(373,1),(375,1),(386,1),(449,1),(456,1),(539,1)}
       420:{1,2,4,7}:{(374,1),(375,1),(377,1),(387,1),(450,1),(455,1),(457,1),(510,1)}
       421:{1,3,6}:{(375,1),(376,1),(388,1),(451,1),(456,1),(457,1)}
       422:{3,5,6}:{(380,1),(381,1),(389,1),(458,1),(550,1)}
       423:{2,4,6}:{(381,1),(382,1),(384,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(382,1),(383,1),(385,1),(391,1),(459,1),(460,1),(465,1),(510,1),(539,1)}
       425:{2,4,5}:{(383,1),(386,1),(392,1),(461,1),(464,1)}
       426:{1,3,6}:{(384,1),(385,1),(454,1),(459,1),(462,1),(512,1)}
       427:{2,5,7}:{(385,1),(386,1),(387,1),(462,1)}
       428:{2,3,5}:{(386,1),(388,1),(456,1),(461,1),(464,1)}
       429:{2,3,7}:{(387,1),(388,1),(457,1),(467,1)}
       430:{2,5,7}:{(389,1),(390,1),(458,1),(465,1)}
       431:{1,4,6,7}:{(390,1),(391,1),(393,1),(459,1),(465,1),(466,1)}
       432:{2,4,7}:{(391,1),(392,1),(394,1),(467,1)}
       433:{3,6}:{(392,1),(461,1),(467,1)}
       434:{2,6,7}:{(393,1),(394,1),(462,1)}
       435:{4,6,7}:{(395,1),(396,1),(404,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(399,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(406,1),(470,1),(471,1)}
       438:{3,6,7}:{(398,1),(399,1),(407,1)}
       439:{2,3,5,7}:{(399,1),(400,1),(401,1),(414,1),(470,1),(472,1),(473,1),(516,1)}
       440:{1,3,5,6}:{(400,1),(402,1),(409,1),(415,1),(471,1),(473,1),(474,1),(480,1),(519,1),(521,1),(544,1)}
       441:{1,3,7}:{(401,1),(402,1),(416,1),(475,1)}
       442:{2,6}:{(402,1),(403,1),(475,1)}
       443:{4,5,6}:{(404,1),(468,1),(476,1),(547,1)}
       444:{3,4,6}:{(404,1),(405,1),(407,1),(476,1),(477,1)}
       445:{2,4,5,7}:{(405,1),(406,1),(408,1),(470,1),(477,1),(478,1),(493,1),(516,1),(530,1)}
       446:{1,4,5}:{(406,1),(409,1),(471,1),(479,1),(487,1),(552,1)}
       447:{2,3,6}:{(407,1),(408,1),(417,1),(477,1),(480,1)}
       448:{1,3,5,7}:{(408,1),(409,1),(410,1),(418,1),(478,1),(480,1),(481,1),(523,1)}
       449:{2,5}:{(409,1),(411,1)}
       450:{2,4,7}:{(410,1),(411,1),(475,1),(481,1),(483,1)}
       451:{2,3,6}:{(411,1),(412,1),(421,1),(482,1),(483,1),(519,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(416,1),(484,1)}
       454:{1,6}:{(417,1),(418,1)}
       455:{1,2,5,7}:{(418,1),(419,1),(420,1),(427,1),(481,1),(485,1),(486,1)}
       456:{1,3,5}:{(419,1),(421,1),(428,1),(482,1),(487,1)}
       457:{1,3,7}:{(420,1),(421,1),(429,1),(483,1)}
       458:{2,5,6}:{(422,1),(423,1),(430,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(426,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(427,1),(432,1),(489,1),(490,1),(493,1),(494,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(433,1),(491,1)}
       462:{2,6}:{(426,1),(427,1)}
       463:{2,3,5,7}:{(427,1),(428,1),(429,1),(486,1),(490,1),(492,1),(493,1),(530,1)}
       464:{2,4}:{(428,1),(487,1),(491,1)}
       465:{1,5,7}:{(430,1),(431,1),(488,1),(494,1)}
       466:{2,4,6,7}:{(431,1),(432,1),(434,1),(489,1),(494,1),(495,1),(531,1)}
       467:{3,7}:{(432,1),(433,1)}
       468:{4,5,7}:{(435,1),(443,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(438,1),(444,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(439,1),(498,1)}
       471:{1,4,6}:{(437,1),(440,1),(446,1),(498,1),(499,1),(549,1)}
       472:{2,3,6,7}:{(438,1),(439,1),(447,1),(452,1),(497,1),(500,1)}
       473:{1,3,5,7}:{(439,1),(440,1),(441,1),(453,1),(498,1),(500,1),(501,1),(532,1),(534,1),(548,1)}
       474:{2,5,6}:{(440,1),(442,1),(449,1),(499,1),(501,1),(506,1)}
       475:{2,7}:{(441,1),(442,1)}
       476:{3,5,6}:{(443,1),(444,1),(496,1),(502,1),(541,1)}
       477:{2,4,6}:{(444,1),(445,1),(447,1),(502,1),(503,1)}
       478:{1,4,5,7}:{(445,1),(446,1),(448,1),(498,1),(503,1),(504,1),(510,1),(532,1),(539,1)}
       479:{2,4,5}:{(446,1),(449,1),(499,1),(505,1),(508,1)}
       480:{1,3,6}:{(447,1),(448,1),(454,1),(503,1),(506,1),(536,1)}
       481:{2,5,7}:{(448,1),(449,1),(450,1),(506,1)}
       482:{2,3,5}:{(449,1),(451,1),(456,1),(505,1),(508,1)}
       483:{2,3,7}:{(450,1),(451,1),(457,1),(534,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(462,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(463,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(464,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(465,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(462,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(467,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(464,1)}
       492:{2,3,6}:{(462,1),(463,1),(509,1),(512,1),(514,1)}
       493:{2,4,7}:{(463,1),(464,1),(510,1),(513,1),(514,1)}
       494:{2,5,7}:{(465,1),(466,1),(511,1),(515,1)}
       495:{3,6,7}:{(466,1),(467,1),(512,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(476,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(472,1),(477,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(473,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(474,1),(479,1),(518,1),(519,1)}
       500:{1,3,6,7}:{(472,1),(473,1),(480,1),(484,1),(517,1),(520,1),(543,1)}
       501:{2,5,7}:{(473,1),(474,1),(475,1),(518,1),(520,1)}
       502:{2,5,6}:{(476,1),(477,1),(516,1),(521,1),(530,1)}
       503:{1,4,6}:{(477,1),(478,1),(480,1),(521,1),(522,1)}
       504:{2,4,5,7}:{(478,1),(479,1),(481,1),(518,1),(522,1),(523,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       505:{3,5}:{(479,1),(519,1),(524,1)}
       506:{2,6}:{(480,1),(481,1)}
       507:{2,3,5,7}:{(481,1),(482,1),(483,1),(486,1),(523,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(482,1),(487,1),(524,1)}
       509:{1,3,6}:{(485,1),(486,1),(492,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(493,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(494,1),(528,1),(530,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(493,1),(529,1),(531,1)}
       514:{2,4,6}:{(492,1),(493,1),(527,1),(529,1),(530,1)}
       515:{3,5,7}:{(494,1),(495,1),(528,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(500,1),(503,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(501,1),(534,1)}
       519:{3,6}:{(499,1),(505,1),(534,1)}
       520:{2,6,7}:{(500,1),(501,1),(506,1)}
       521:{1,5,6}:{(502,1),(503,1),(532,1),(535,1),(539,1)}
       522:{2,4,6}:{(503,1),(504,1),(506,1),(535,1),(536,1),(549,1)}
       523:{3,5,7}:{(504,1),(505,1),(534,1),(536,1),(537,1),(550,1)}
       524:{3,4}:{(505,1),(508,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(514,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(515,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(514,1),(539,1),(541,1)}
       531:{4,7}:{(515,1),(540,1)}
       532:{1,5,7}:{(516,1),(517,1),(521,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(520,1),(522,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(521,1),(522,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{3,4,7}:{(523,1),(524,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{4,6}:{(528,1),(531,1),(547,1)}
       541:{3,5}:{(529,1),(530,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 290 :   0:{2,3,4}:{(2,1),(3,1),(30,1),(62,1)}
         1:{3,4,5}:{(4,1),(5,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1)}
         3:{1,3,4}:{(0,1),(6,1),(8,1),(19,1),(47,1),(51,1)}
         4:{2,4,5}:{(1,1),(2,1),(10,1),(11,1),(62,1),(101,1)}
         5:{3,4,6}:{(1,1),(11,1),(12,1),(13,1)}
         6:{1,3,5}:{(2,1),(3,1),(10,1),(14,1),(15,1),(34,1)}
         7:{2,3,6}:{(2,1),(11,1),(15,1),(16,1)}
         8:{2,4}:{(3,1),(14,1),(17,1)}
         9:{1,2,4}:{(8,1),(18,1),(19,1),(46,1),(47,1)}
        10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(47,1),(86,1)}
        11:{2,4,6}:{(4,1),(5,1),(7,1),(21,1),(22,1),(23,1)}
        12:{3,5,6}:{(5,1),(22,1),(24,1),(25,1),(116,1),(143,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1)}
        14:{2,5}:{(6,1),(8,1),(27,1)}
        15:{1,3,6}:{(6,1),(7,1),(21,1),(27,1),(28,1),(52,1)}
        16:{2,3,7}:{(7,1),(23,1),(28,1)}
        17:{2,3}:{(8,1),(19,1)}
        18:{1,2,5}:{(9,1),(14,1),(31,1),(32,1),(64,1)}
        19:{1,3}:{(9,1),(17,1),(30,1)}
        20:{2,4,5}:{(10,1),(14,1),(34,1),(35,1),(41,1),(77,1),(109,1)}
        21:{1,4,6}:{(10,1),(11,1),(15,1),(35,1),(36,1),(37,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1),(101,1),(134,1)}
        23:{2,4,7}:{(11,1),(13,1),(16,1),(37,1),(38,1)}
        24:{4,5,6}:{(12,1),(39,1),(131,1),(149,1)}
        25:{3,5,7}:{(12,1),(13,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(17,1),(31,1),(34,1),(41,1),(42,1),(77,1)}
        27:{2,6}:{(14,1),(15,1),(43,1)}
        28:{1,3,7}:{(15,1),(16,1),(37,1),(43,1),(72,1)}
        29:{2,3,4}:{(17,1),(33,1),(41,1),(44,1)}
        30:{2,3}:{(19,1),(46,1)}
        31:{1,3,5}:{(18,1),(19,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        32:{1,2,6}:{(18,1),(27,1),(48,1),(49,1),(84,1)}
        33:{1,3,4}:{(19,1),(29,1),(46,1),(47,1),(50,1),(80,1)}
        34:{3,5}:{(20,1),(51,1),(52,1)}
        35:{2,4,6}:{(20,1),(21,1),(27,1),(52,1),(53,1),(54,1),(92,1)}
        36:{1,5,6}:{(21,1),(22,1),(53,1),(55,1),(86,1),(122,1)}
        37:{1,4,7}:{(21,1),(23,1),(28,1),(54,1),(55,1)}
        38:{2,5,7}:{(22,1),(23,1),(25,1),(55,1),(56,1)}
        39:{4,5,7}:{(24,1),(25,1),(57,1)}
        40:{3,6,7}:{(25,1),(56,1),(57,1),(143,1)}
        41:{2,4}:{(26,1),(47,1),(51,1)}
        42:{2,3,6}:{(26,1),(27,1),(48,1),(52,1),(59,1),(60,1)}
        43:{2,7}:{(27,1),(28,1)}
        44:{2,3,5}:{(29,1),(50,1),(58,1),(61,1)}
        45:{2,3,5}:{(30,1),(31,1),(62,1),(63,1),(64,1),(98,1),(101,1)}
        46:{2,4}:{(30,1),(33,1),(64,1)}
        47:{1,4}:{(31,1),(41,1),(62,1)}
        48:{1,3,6}:{(31,1),(32,1),(42,1),(63,1),(66,1),(67,1)}
        49:{1,2,7}:{(32,1),(43,1),(67,1),(103,1)}
        50:{1,3,5}:{(33,1),(44,1),(64,1),(65,1),(68,1),(98,1)}
        51:{3,4}:{(34,1),(41,1)}
        52:{3,6}:{(34,1),(35,1),(72,1)}
        53:{2,5,6}:{(35,1),(36,1),(71,1),(73,1),(77,1),(114,1)}
        54:{2,4,7}:{(35,1),(37,1),(43,1),(72,1),(73,1),(111,1)}
        55:{1,5,7}:{(36,1),(37,1),(38,1),(73,1),(74,1)}
        56:{2,6,7}:{(38,1),(40,1),(74,1),(134,1)}
        57:{4,6,7}:{(39,1),(40,1),(75,1),(149,1)}
        58:{2,4,5}:{(41,1),(44,1),(65,1),(69,1),(76,1),(77,1)}
        59:{2,4,6}:{(41,1),(42,1),(66,1),(70,1),(77,1),(78,1),(114,1)}
        60:{2,3,7}:{(42,1),(43,1),(67,1),(72,1),(78,1)}
        61:{2,3,6}:{(44,1),(68,1),(76,1),(79,1)}
        62:{2,4}:{(45,1),(47,1),(80,1)}
        63:{2,3,6}:{(45,1),(48,1),(82,1),(83,1),(84,1),(115,1)}
        64:{2,5}:{(46,1),(50,1),(84,1)}
        65:{1,4,5}:{(47,1),(50,1),(58,1),(81,1),(85,1),(86,1)}
        66:{1,4,6}:{(47,1),(48,1),(59,1),(82,1),(86,1),(87,1),(122,1)}
        67:{1,3,7}:{(48,1),(49,1),(60,1),(83,1),(87,1)}
        68:{1,3,6}:{(50,1),(61,1),(84,1),(85,1),(88,1),(115,1)}
        69:{3,4,5}:{(51,1),(58,1),(89,1),(90,1)}
        70:{3,4,6}:{(51,1),(52,1),(59,1),(90,1),(91,1),(92,1),(126,1)}
        71:{3,5,6}:{(52,1),(53,1),(90,1),(92,1),(93,1),(126,1),(146,1)}
        72:{3,7}:{(52,1),(54,1)}
        73:{2,5,7}:{(53,1),(54,1),(55,1),(93,1),(94,1)}
        74:{1,6,7}:{(55,1),(56,1),(94,1),(122,1)}
        75:{5,6,7}:{(57,1),(152,1)}
        76:{2,4,6}:{(58,1),(61,1),(85,1),(89,1),(95,1),(96,1)}
        77:{2,5}:{(59,1),(86,1),(90,1)}
        78:{2,4,7}:{(59,1),(60,1),(87,1),(91,1),(97,1)}
        79:{2,3,7}:{(61,1),(88,1),(96,1)}
        80:{3,4}:{(62,1),(98,1)}
        81:{2,4,5}:{(62,1),(64,1),(65,1),(98,1),(100,1),(101,1),(131,1)}
        82:{2,4,6}:{(62,1),(63,1),(66,1),(99,1),(101,1),(102,1),(134,1)}
        83:{2,3,7}:{(63,1),(67,1),(102,1),(103,1),(130,1)}
        84:{2,6}:{(64,1),(68,1),(103,1)}
        85:{1,4,6}:{(65,1),(68,1),(76,1),(100,1),(104,1),(105,1)}
        86:{1,5}:{(66,1),(77,1),(101,1)}
        87:{1,4,7}:{(66,1),(67,1),(78,1),(102,1),(106,1)}
        88:{1,3,7}:{(68,1),(79,1),(103,1),(105,1),(130,1)}
        89:{3,4,6}:{(69,1),(76,1),(107,1),(108,1)}
        90:{3,5}:{(70,1),(77,1),(109,1)}
        91:{3,4,7}:{(70,1),(72,1),(78,1),(110,1),(111,1)}
        92:{4,6}:{(71,1),(109,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(111,1),(112,1),(139,1)}
        94:{2,6,7}:{(73,1),(74,1),(112,1),(114,1)}
        95:{2,5,6}:{(76,1),(77,1),(104,1),(107,1),(113,1),(114,1)}
        96:{2,4,7}:{(76,1),(79,1),(105,1),(108,1),(113,1)}
        97:{2,5,7}:{(77,1),(78,1),(106,1),(110,1),(114,1)}
        98:{3,5}:{(80,1),(81,1),(115,1)}
        99:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
       100:{2,4,6}:{(81,1),(84,1),(85,1),(115,1),(118,1),(119,1),(140,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(87,1),(117,1),(120,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(86,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,4,7}:{(85,1),(88,1),(96,1),(119,1),(121,1)}
       106:{1,5,7}:{(86,1),(87,1),(97,1),(120,1),(122,1)}
       107:{3,5,6}:{(89,1),(90,1),(95,1),(123,1),(124,1),(126,1)}
       108:{3,4,7}:{(89,1),(96,1),(124,1)}
       109:{4,5}:{(90,1),(92,1)}
       110:{3,5,7}:{(90,1),(91,1),(97,1),(125,1),(126,1)}
       111:{4,7}:{(92,1),(93,1)}
       112:{3,6,7}:{(93,1),(94,1),(126,1),(127,1)}
       113:{2,5,7}:{(95,1),(96,1),(121,1),(124,1),(128,1)}
       114:{2,6}:{(97,1),(122,1),(126,1)}
       115:{3,6}:{(98,1),(100,1),(130,1)}
       116:{3,5}:{(99,1),(101,1),(131,1)}
       117:{3,4,7}:{(99,1),(102,1),(130,1),(132,1),(147,1)}
       118:{2,5,6}:{(100,1),(101,1),(104,1),(129,1),(133,1),(134,1)}
       119:{2,4,7}:{(100,1),(103,1),(105,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(106,1),(132,1),(134,1)}
       121:{1,5,7}:{(104,1),(105,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(106,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(107,1),(108,1),(113,1),(136,1),(137,1)}
       125:{4,5,7}:{(109,1),(110,1),(111,1),(138,1),(139,1)}
       126:{3,6}:{(110,1),(114,1),(138,1)}
       127:{4,6,7}:{(111,1),(112,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(137,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(143,1),(152,1)}
       130:{3,7}:{(115,1),(119,1)}
       131:{4,5}:{(116,1),(140,1)}
       132:{3,5,7}:{(116,1),(117,1),(120,1),(142,1),(143,1)}
       133:{2,5,7}:{(118,1),(119,1),(121,1),(141,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(126,1),(128,1),(145,1)}
       138:{4,6}:{(125,1),(126,1),(146,1)}
       139:{5,7}:{(127,1),(146,1)}
       140:{4,6}:{(129,1),(131,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(133,1),(147,1),(148,1),(153,1)}
       142:{4,5,7}:{(131,1),(132,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(132,1),(134,1),(149,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(148,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(143,1),(144,1),(151,1)}
       149:{4,6}:{(142,1),(143,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 291 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 292 :   0:{3,4,5}:{(1,1),(2,1),(92,1),(125,1)}
         1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(75,1),(112,1)}
         2:{3,4,6}:{(0,1),(6,1),(7,1),(8,1)}
         3:{2,3,4}:{(4,1),(9,1),(56,1),(75,1)}
         4:{2,3,5}:{(1,1),(3,1),(10,1),(11,1)}
         5:{1,4,5}:{(1,1),(10,1),(12,1),(13,1),(60,1),(97,1)}
         6:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1)}
         7:{3,5,6}:{(2,1),(14,1),(16,1),(17,1),(125,1),(146,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1)}
         9:{1,3,4}:{(3,1),(10,1),(18,1),(35,1),(42,1),(60,1)}
        10:{1,3,5}:{(4,1),(5,1),(9,1),(19,1),(20,1),(22,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1),(23,1),(46,1),(81,1),(85,1)}
        13:{1,4,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(7,1),(24,1),(26,1),(112,1),(140,1)}
        15:{2,4,7}:{(6,1),(8,1),(21,1),(25,1),(26,1)}
        16:{4,5,6}:{(7,1),(27,1),(137,1),(150,1)}
        17:{3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1)}
        18:{2,4}:{(9,1),(19,1),(30,1)}
        19:{2,5}:{(10,1),(18,1),(33,1)}
        20:{1,3,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(36,1)}
        21:{2,3,7}:{(11,1),(15,1),(34,1)}
        22:{3,5}:{(12,1),(35,1),(36,1)}
        23:{2,4,6}:{(12,1),(13,1),(33,1),(36,1),(37,1),(38,1),(69,1)}
        24:{1,5,6}:{(13,1),(14,1),(37,1),(39,1),(97,1),(131,1)}
        25:{1,4,7}:{(13,1),(15,1),(34,1),(38,1),(39,1)}
        26:{2,5,7}:{(14,1),(15,1),(17,1),(39,1),(40,1)}
        27:{4,5,7}:{(16,1),(17,1),(41,1)}
        28:{3,6,7}:{(17,1),(40,1),(41,1),(146,1)}
        29:{1,2,4}:{(18,1),(31,1),(42,1),(60,1),(72,1)}
        30:{2,3}:{(18,1),(42,1)}
        31:{1,2,5}:{(19,1),(29,1),(44,1),(45,1),(89,1)}
        32:{2,3,5}:{(19,1),(22,1),(30,1),(44,1),(46,1),(47,1),(81,1)}
        33:{2,6}:{(19,1),(20,1),(48,1)}
        34:{1,3,7}:{(20,1),(21,1),(25,1),(48,1),(52,1)}
        35:{3,4}:{(22,1),(46,1)}
        36:{3,6}:{(22,1),(23,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1),(81,1),(118,1)}
        38:{2,4,7}:{(23,1),(25,1),(48,1),(52,1),(53,1),(87,1)}
        39:{1,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        40:{2,6,7}:{(26,1),(28,1),(54,1),(140,1)}
        41:{4,6,7}:{(27,1),(28,1),(55,1),(150,1)}
        42:{1,3}:{(29,1),(30,1),(56,1)}
        43:{2,3,4}:{(30,1),(46,1),(57,1),(58,1)}
        44:{1,3,5}:{(31,1),(32,1),(42,1),(59,1),(60,1),(61,1),(97,1)}
        45:{1,2,6}:{(31,1),(33,1),(61,1),(62,1),(107,1)}
        46:{2,4}:{(32,1),(35,1),(60,1)}
        47:{2,3,6}:{(32,1),(33,1),(36,1),(61,1),(64,1),(65,1)}
        48:{2,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1),(66,1),(67,1)}
        50:{3,4,6}:{(35,1),(36,1),(64,1),(67,1),(68,1),(69,1),(105,1)}
        51:{3,5,6}:{(36,1),(37,1),(67,1),(69,1),(70,1),(105,1),(134,1)}
        52:{3,7}:{(36,1),(38,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(70,1),(71,1)}
        54:{1,6,7}:{(39,1),(40,1),(71,1),(131,1)}
        55:{5,6,7}:{(41,1),(152,1)}
        56:{2,3}:{(42,1),(72,1)}
        57:{1,3,4}:{(42,1),(43,1),(60,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(43,1),(63,1),(73,1),(74,1)}
        59:{2,3,5}:{(44,1),(56,1),(75,1),(76,1),(89,1),(109,1),(112,1)}
        60:{1,4}:{(44,1),(46,1),(75,1)}
        61:{1,3,6}:{(44,1),(45,1),(47,1),(76,1),(78,1),(79,1)}
        62:{1,2,7}:{(45,1),(48,1),(79,1),(123,1)}
        63:{2,4,5}:{(46,1),(49,1),(58,1),(77,1),(80,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(78,1),(81,1),(82,1),(118,1)}
        65:{2,3,7}:{(47,1),(48,1),(52,1),(79,1),(82,1)}
        66:{3,4,6}:{(49,1),(80,1),(83,1),(84,1)}
        67:{3,5}:{(50,1),(81,1),(85,1)}
        68:{3,4,7}:{(50,1),(52,1),(82,1),(86,1),(87,1)}
        69:{4,6}:{(51,1),(85,1),(87,1)}
        70:{3,5,7}:{(51,1),(52,1),(53,1),(87,1),(88,1),(122,1)}
        71:{2,6,7}:{(53,1),(54,1),(88,1),(118,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(77,1),(89,1),(90,1),(109,1)}
        74:{2,3,6}:{(58,1),(80,1),(90,1),(91,1)}
        75:{2,4}:{(59,1),(60,1),(92,1)}
        76:{2,3,6}:{(59,1),(61,1),(94,1),(95,1),(107,1),(124,1)}
        77:{1,4,5}:{(60,1),(63,1),(73,1),(93,1),(96,1),(97,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(94,1),(97,1),(98,1),(131,1)}
        79:{1,3,7}:{(61,1),(62,1),(65,1),(95,1),(98,1)}
        80:{2,4,6}:{(63,1),(66,1),(74,1),(96,1),(99,1),(100,1)}
        81:{2,5}:{(64,1),(67,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(98,1),(101,1)}
        83:{3,5,6}:{(66,1),(67,1),(99,1),(102,1),(103,1),(105,1)}
        84:{3,4,7}:{(66,1),(100,1),(103,1)}
        85:{4,5}:{(67,1),(69,1)}
        86:{3,5,7}:{(67,1),(68,1),(101,1),(104,1),(105,1)}
        87:{4,7}:{(69,1),(70,1)}
        88:{3,6,7}:{(70,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(96,1),(107,1),(108,1),(124,1)}
        91:{2,3,7}:{(74,1),(100,1),(108,1)}
        92:{3,4}:{(75,1),(109,1)}
        93:{2,4,5}:{(75,1),(77,1),(89,1),(109,1),(111,1),(112,1),(137,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(110,1),(112,1),(113,1),(140,1)}
        95:{2,3,7}:{(76,1),(79,1),(113,1),(123,1),(136,1)}
        96:{1,4,6}:{(77,1),(80,1),(90,1),(111,1),(114,1),(115,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,7}:{(78,1),(79,1),(82,1),(113,1),(116,1)}
        99:{2,5,6}:{(80,1),(81,1),(83,1),(114,1),(117,1),(118,1)}
       100:{2,4,7}:{(80,1),(84,1),(91,1),(115,1),(117,1)}
       101:{2,5,7}:{(81,1),(82,1),(86,1),(116,1),(118,1)}
       102:{4,5,6}:{(83,1),(85,1),(119,1),(121,1)}
       103:{3,5,7}:{(83,1),(84,1),(117,1),(119,1),(120,1)}
       104:{4,5,7}:{(85,1),(86,1),(87,1),(121,1),(122,1)}
       105:{3,6}:{(86,1),(118,1),(121,1)}
       106:{4,6,7}:{(87,1),(88,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(115,1),(123,1),(136,1)}
       109:{3,5}:{(92,1),(93,1),(124,1)}
       110:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       111:{2,4,6}:{(93,1),(96,1),(107,1),(124,1),(127,1),(128,1),(143,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,7}:{(94,1),(95,1),(98,1),(126,1),(129,1)}
       114:{1,5,6}:{(96,1),(97,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,4,7}:{(96,1),(100,1),(108,1),(128,1),(130,1)}
       116:{1,5,7}:{(97,1),(98,1),(101,1),(129,1),(131,1)}
       117:{2,5,7}:{(99,1),(100,1),(103,1),(130,1),(132,1)}
       118:{2,6}:{(101,1),(105,1),(131,1)}
       119:{4,5,7}:{(102,1),(103,1),(133,1)}
       120:{3,6,7}:{(103,1),(105,1),(132,1),(133,1)}
       121:{4,6}:{(104,1),(105,1),(134,1)}
       122:{5,7}:{(106,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,6}:{(109,1),(111,1),(136,1)}
       125:{3,5}:{(110,1),(112,1),(137,1)}
       126:{3,4,7}:{(110,1),(113,1),(136,1),(138,1),(148,1)}
       127:{2,5,6}:{(111,1),(112,1),(114,1),(135,1),(139,1),(140,1)}
       128:{2,4,7}:{(111,1),(115,1),(123,1),(136,1),(139,1),(148,1)}
       129:{2,5,7}:{(112,1),(113,1),(116,1),(138,1),(140,1)}
       130:{1,5,7}:{(114,1),(115,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(116,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(120,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(121,1),(142,1)}
       134:{5,6}:{(121,1),(122,1)}
       135:{3,5,6}:{(124,1),(125,1),(127,1),(143,1),(144,1),(146,1),(152,1)}
       136:{3,7}:{(124,1),(128,1)}
       137:{4,5}:{(125,1),(143,1)}
       138:{3,5,7}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       139:{2,5,7}:{(127,1),(128,1),(130,1),(144,1),(147,1)}
       140:{2,6}:{(129,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(137,1),(148,1)}
       144:{3,5,7}:{(135,1),(136,1),(139,1),(148,1),(149,1),(153,1)}
       145:{4,5,7}:{(137,1),(138,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(150,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(149,1)}
       148:{4,7}:{(143,1),(144,1)}
       149:{3,6,7}:{(144,1),(146,1),(147,1),(151,1)}
       150:{4,6}:{(145,1),(146,1),(152,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 293 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 294 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 295 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 296 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 297 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(34,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(54,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(55,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(34,1),(38,1),(46,1),(77,1),(83,1),(101,1),(108,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(74,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(53,1),(54,1),(64,1),(84,1),(93,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(115,1),(119,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(23,1),(24,1),(55,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(93,1),(115,1),(119,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(34,1),(42,1),(65,1),(68,1),(81,1),(83,1),(103,1),(104,1),(105,1),(108,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(34,1),(35,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(35,1),(36,1),(74,1)}
        22:{2,4,6,7}:{(12,1),(33,1),(37,1),(38,1),(72,1),(77,1),(108,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(34,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(35,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(50,1),(61,1),(86,1),(100,1),(119,1)}
        32:{2,4,6}:{(19,1),(21,1),(50,1),(51,1),(55,1),(90,1)}
        33:{1,4,6,7}:{(21,1),(22,1),(48,1),(52,1),(53,1),(91,1),(93,1),(118,1)}
        34:{2,5,7}:{(20,1),(27,1),(54,1),(55,1),(63,1),(123,1),(132,1)}
        35:{1,3,6}:{(20,1),(21,1),(23,1),(50,1),(55,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(53,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(119,1)}
        38:{2,5,7}:{(22,1),(24,1),(53,1),(57,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(119,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(54,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(55,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(105,1),(113,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(67,1),(68,1),(72,1),(105,1),(108,1)}
        49:{2,3,5,7}:{(31,1),(34,1),(40,1),(65,1),(69,1),(70,1),(80,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(68,1),(71,1),(103,1)}
        52:{1,3,6,7}:{(33,1),(35,1),(37,1),(67,1),(72,1),(73,1),(126,1)}
        53:{1,5,7}:{(33,1),(36,1),(38,1),(68,1)}
        54:{1,5,7}:{(34,1),(43,1),(74,1),(82,1),(130,1),(137,1)}
        55:{2,6}:{(34,1),(35,1),(74,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(39,1),(45,1),(71,1),(73,1),(75,1),(76,1),(110,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(39,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(74,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(119,1)}
        68:{2,5,7}:{(48,1),(51,1),(53,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(54,1),(59,1),(84,1),(88,1),(89,1),(97,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(55,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(61,1),(86,1),(87,1),(90,1)}
        72:{2,6,7}:{(52,1),(55,1),(91,1),(92,1),(132,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(56,1),(57,1),(87,1),(92,1),(93,1),(119,1)}
        74:{1,6}:{(54,1),(55,1)}
        75:{2,5,6}:{(55,1),(56,1),(63,1),(92,1),(94,1),(95,1)}
        76:{1,4,6}:{(56,1),(58,1),(64,1),(90,1),(93,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(78,1),(101,1),(106,1),(111,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(74,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(81,1),(104,1),(105,1)}
        91:{1,6,7}:{(72,1),(74,1),(107,1),(137,1)}
        92:{2,5,7}:{(72,1),(73,1),(75,1),(107,1),(108,1)}
        93:{1,4,7}:{(73,1),(76,1),(77,1),(105,1),(108,1),(137,1)}
        94:{1,5,6}:{(74,1),(75,1),(82,1),(107,1),(109,1)}
        95:{2,4,6}:{(75,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{1,5,7}:{(91,1),(92,1),(94,1),(118,1)}
       108:{2,4,7}:{(92,1),(93,1),(95,1),(118,1),(119,1),(132,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(118,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(119,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{3,7}:{(108,1),(110,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(126,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 298 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(31,1),(39,1),(41,1),(78,1),(90,1),(181,1),(185,1),(283,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(131,1),(237,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(53,1),(116,1),(214,1)}
         3:{1,3,4}:{(1,1),(9,1),(283,1),(287,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(78,1),(91,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(266,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(84,1),(104,1),(163,1),(181,1),(286,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(85,1),(164,1),(267,1)}
         8:{1,3,4,5}:{(3,1),(16,1),(17,1),(21,1),(50,1),(121,1),(136,1),(138,1),(221,1),(237,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(116,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(231,1),(248,1),(253,1),(331,1),(343,1),(392,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(317,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(126,1),(215,1),(344,1)}
        16:{2,4,5}:{(8,1),(9,1),(30,1),(31,1),(32,1),(39,1),(78,1),(161,1),(262,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(79,1),(165,1),(167,1),(266,1)}
        18:{2,3,4}:{(9,1),(30,1),(35,1),(91,1),(161,1),(287,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(78,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(163,1),(183,1),(196,1),(199,1),(200,1),(201,1),(266,1),(289,1),(300,1),(371,1),(373,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(164,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(283,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(176,1),(268,1),(286,1)}
        30:{2,3,5}:{(16,1),(18,1),(50,1),(51,1),(237,1)}
        31:{1,4,5}:{(16,1),(19,1),(50,1),(53,1),(64,1),(207,1),(304,1)}
        32:{2,4,6}:{(16,1),(17,1),(51,1),(53,1),(54,1),(55,1),(116,1)}
        33:{1,3,5,6}:{(17,1),(21,1),(54,1),(56,1),(57,1),(69,1),(127,1),(221,1),(324,1)}
        34:{1,3,4,7}:{(17,1),(55,1),(57,1),(118,1),(217,1),(219,1),(317,1)}
        35:{1,3,4}:{(18,1),(19,1),(50,1),(58,1),(62,1),(131,1),(207,1)}
        36:{2,3,4,6}:{(18,1),(20,1),(51,1),(59,1),(60,1),(61,1),(74,1),(119,1),(133,1),(140,1),(154,1),(211,1),(235,1),(313,1),(316,1),(333,1),(335,1),(378,1)}
        37:{1,2,4}:{(19,1),(23,1),(58,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(392,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(116,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(235,1),(396,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(215,1),(249,1),(254,1),(317,1),(389,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(331,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(35,1),(78,1),(79,1)}
        51:{2,3,6}:{(30,1),(32,1),(79,1),(81,1),(266,1)}
        52:{1,2,4,5}:{(31,1),(37,1),(78,1),(82,1),(83,1),(98,1),(161,1),(185,1),(192,1),(262,1),(274,1)}
        53:{1,4,6}:{(31,1),(32,1),(79,1),(84,1),(85,1)}
        54:{2,5,6}:{(32,1),(33,1),(39,1),(84,1),(87,1),(104,1),(262,1),(354,1)}
        55:{2,4,7}:{(32,1),(34,1),(81,1),(85,1),(87,1),(164,1)}
        56:{1,4,5,6}:{(33,1),(41,1),(86,1),(88,1),(105,1),(165,1),(274,1),(278,1),(294,1),(363,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(87,1),(88,1),(89,1),(177,1)}
        58:{2,4}:{(35,1),(78,1),(91,1)}
        59:{1,3,4,6}:{(35,1),(36,1),(38,1),(79,1),(92,1),(93,1),(94,1),(97,1),(165,1),(180,1),(189,1),(192,1),(203,1),(257,1),(266,1),(283,1),(287,1),(297,1),(357,1),(367,1),(369,1),(370,1),(401,1)}
        60:{2,3,5}:{(36,1),(39,1),(93,1),(95,1),(102,1),(196,1),(262,1),(352,1),(371,1),(398,1)}
        61:{2,3,4,7}:{(36,1),(40,1),(81,1),(94,1),(96,1),(111,1),(168,1),(184,1),(204,1),(263,1),(288,1),(355,1),(358,1),(402,1)}
        62:{1,3}:{(37,1),(91,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(92,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(411,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(371,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(163,1),(195,1),(196,1),(278,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(164,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(266,1),(287,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(410,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(268,1),(289,1),(300,1),(359,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(367,1)}
        78:{2,5}:{(50,1),(58,1),(116,1)}
        79:{1,3,6}:{(50,1),(51,1),(53,1),(116,1),(118,1)}
        80:{2,3,5,6}:{(51,1),(54,1),(60,1),(117,1),(119,1),(120,1),(127,1),(140,1),(226,1),(243,1),(316,1)}
        81:{2,3,7}:{(51,1),(55,1),(118,1),(317,1)}
        82:{1,3,5}:{(52,1),(62,1),(115,1),(121,1),(122,1),(237,1)}
        83:{1,2,4,6}:{(52,1),(53,1),(116,1),(122,1),(123,1),(124,1),(211,1),(214,1),(223,1)}
        84:{1,5,6}:{(53,1),(54,1),(64,1),(126,1),(147,1),(304,1),(377,1)}
        85:{1,4,7}:{(53,1),(55,1),(118,1),(126,1)}
        86:{2,4,5,6}:{(54,1),(56,1),(66,1),(119,1),(125,1),(127,1),(128,1),(149,1),(214,1),(226,1),(243,1),(311,1),(338,1),(339,1),(384,1),(396,1)}
        87:{2,5,7}:{(54,1),(55,1),(57,1),(126,1),(129,1)}
        88:{1,4,5,7}:{(56,1),(57,1),(128,1),(130,1),(217,1),(321,1),(326,1)}
        89:{1,3,6,7}:{(57,1),(69,1),(129,1),(130,1),(229,1),(324,1)}
        90:{1,2,4}:{(58,1),(114,1),(131,1),(207,1)}
        91:{2,3}:{(58,1),(62,1),(131,1)}
        92:{2,4,6}:{(58,1),(59,1),(116,1),(133,1),(134,1),(135,1),(235,1),(239,1),(387,1),(394,1)}
        93:{1,3,5}:{(59,1),(60,1),(64,1),(134,1),(136,1),(237,1),(248,1),(304,1),(341,1),(392,1),(395,1),(414,1)}
        94:{1,3,4,7}:{(59,1),(61,1),(65,1),(118,1),(135,1),(137,1),(142,1),(217,1),(232,1),(245,1),(255,1),(305,1),(317,1),(330,1),(334,1),(388,1),(418,1)}
        95:{2,4,5}:{(60,1),(119,1),(136,1),(138,1),(235,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(67,1),(137,1),(139,1),(140,1),(148,1),(249,1),(312,1),(383,1),(415,1)}
        97:{1,3,6}:{(62,1),(63,1),(133,1),(141,1),(142,1),(422,1)}
        98:{1,2,5}:{(63,1),(64,1),(134,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(135,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(214,1),(319,1),(387,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(215,1),(249,1),(326,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(317,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(335,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(392,1)}
       114:{1,2,5}:{(78,1),(90,1),(159,1),(160,1)}
       115:{2,3,5}:{(78,1),(82,1),(91,1),(159,1),(161,1),(162,1),(262,1)}
       116:{2,6}:{(78,1),(79,1),(164,1)}
       117:{1,3,5,6}:{(79,1),(80,1),(84,1),(93,1),(163,1),(165,1),(166,1),(189,1),(266,1),(278,1),(294,1),(357,1),(373,1)}
       118:{1,3,7}:{(79,1),(81,1),(85,1),(164,1)}
       119:{2,4,6}:{(80,1),(95,1),(165,1),(167,1),(168,1)}
       120:{2,3,5,7}:{(80,1),(81,1),(87,1),(166,1),(168,1),(169,1),(177,1),(273,1),(279,1),(358,1)}
       121:{1,3,4}:{(82,1),(161,1),(192,1),(287,1)}
       122:{1,3,6}:{(82,1),(83,1),(162,1),(172,1),(266,1)}
       123:{1,2,5,6}:{(83,1),(84,1),(98,1),(163,1),(171,1),(173,1),(195,1),(262,1),(354,1),(404,1)}
       124:{1,2,4,7}:{(83,1),(85,1),(164,1),(172,1),(173,1),(263,1),(267,1),(276,1)}
       125:{1,4,5,6}:{(84,1),(86,1),(100,1),(165,1),(174,1),(175,1),(198,1),(294,1),(345,1),(400,1)}
       126:{1,5,7}:{(84,1),(85,1),(87,1),(176,1)}
       127:{3,5,6}:{(86,1),(102,1),(167,1),(177,1),(199,1),(266,1),(352,1),(406,1)}
       128:{2,4,5,7}:{(86,1),(87,1),(88,1),(168,1),(175,1),(177,1),(178,1),(267,1),(273,1),(279,1),(360,1),(362,1),(410,1)}
       129:{2,6,7}:{(87,1),(89,1),(104,1),(176,1),(354,1)}
       130:{1,4,6,7}:{(88,1),(89,1),(105,1),(178,1),(179,1),(363,1),(365,1)}
       131:{1,3}:{(90,1),(91,1)}
       132:{1,2,4,6}:{(90,1),(92,1),(160,1),(180,1),(181,1),(182,1),(203,1),(257,1),(283,1),(286,1),(302,1),(367,1),(374,1)}
       133:{2,3,6}:{(91,1),(92,1),(97,1),(180,1),(183,1),(184,1),(266,1),(412,1)}
       134:{2,5}:{(92,1),(93,1)}
       135:{2,4,7}:{(92,1),(94,1),(164,1),(184,1),(186,1),(409,1)}
       136:{1,4,5}:{(93,1),(95,1),(165,1),(185,1),(192,1),(283,1),(413,1)}
       137:{1,3,5,7}:{(93,1),(94,1),(96,1),(101,1),(186,1),(188,1),(189,1),(291,1),(299,1),(346,1),(423,1)}
       138:{3,4,5}:{(95,1),(102,1),(167,1),(287,1),(352,1),(413,1)}
       139:{2,4,5,7}:{(95,1),(96,1),(168,1),(188,1),(190,1),(191,1),(273,1),(288,1),(371,1)}
       140:{2,3,6}:{(96,1),(104,1),(189,1),(191,1),(199,1),(300,1),(354,1),(406,1),(424,1)}
       141:{1,3,5}:{(97,1),(98,1),(183,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(184,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(185,1),(192,1),(194,1),(196,1),(293,1),(296,1),(372,1),(411,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(186,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(266,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(267,1),(361,1),(409,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(268,1),(300,1),(365,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(359,1),(370,1),(410,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(371,1)}
       159:{1,3,5}:{(114,1),(115,1),(131,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(116,1),(208,1),(210,1)}
       161:{2,4}:{(115,1),(121,1),(207,1)}
       162:{2,3,6}:{(115,1),(116,1),(122,1),(208,1),(211,1),(213,1)}
       163:{2,5,6}:{(116,1),(117,1),(134,1),(214,1),(215,1),(239,1),(387,1)}
       164:{2,7}:{(116,1),(118,1)}
       165:{1,4,6}:{(117,1),(119,1),(136,1),(214,1),(217,1),(396,1)}
       166:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(215,1),(217,1),(218,1),(317,1),(321,1),(326,1),(388,1),(389,1)}
       167:{3,4,6}:{(119,1),(127,1),(138,1),(219,1),(396,1)}
       168:{2,4,7}:{(119,1),(120,1),(217,1),(219,1)}
       169:{2,3,6,7}:{(120,1),(129,1),(140,1),(218,1),(220,1),(229,1),(327,1)}
       170:{1,3,4,6}:{(121,1),(122,1),(211,1),(221,1),(222,1),(223,1),(313,1),(324,1)}
       171:{1,3,5,6}:{(122,1),(123,1),(141,1),(212,1),(221,1),(223,1),(224,1),(246,1),(324,1),(341,1),(381,1),(390,1),(414,1),(426,1)}
       172:{1,3,7}:{(122,1),(124,1),(213,1),(317,1)}
       173:{1,2,5,7}:{(123,1),(124,1),(126,1),(215,1),(224,1),(225,1),(312,1),(419,1)}
       174:{1,3,5,6}:{(125,1),(127,1),(145,1),(216,1),(226,1),(227,1),(250,1),(375,1),(416,1)}
       175:{1,4,5,7}:{(125,1),(126,1),(128,1),(217,1),(227,1),(228,1),(321,1)}
       176:{1,6,7}:{(126,1),(129,1),(147,1),(377,1)}
       177:{3,5,7}:{(127,1),(128,1),(219,1),(229,1),(317,1)}
       178:{2,4,6,7}:{(128,1),(129,1),(130,1),(149,1),(228,1),(229,1),(230,1),(327,1),(328,1),(384,1)}
       179:{1,5,6,7}:{(130,1),(150,1),(230,1),(321,1),(390,1)}
       180:{1,3,6}:{(131,1),(132,1),(133,1),(231,1),(232,1),(397,1)}
       181:{1,2,5}:{(132,1),(134,1),(231,1),(248,1),(304,1),(392,1)}
       182:{1,2,4,7}:{(132,1),(135,1),(210,1),(232,1),(234,1),(255,1),(305,1),(330,1),(344,1)}
       183:{2,3,5}:{(133,1),(134,1),(141,1),(231,1),(235,1),(237,1)}
       184:{2,3,7}:{(133,1),(135,1),(142,1),(232,1),(317,1)}
       185:{2,4,5}:{(134,1),(136,1),(214,1),(235,1),(237,1)}
       186:{2,5,7}:{(134,1),(135,1),(137,1),(239,1)}
       187:{1,3,4,5}:{(136,1),(138,1),(145,1),(216,1),(237,1),(240,1),(244,1),(329,1),(336,1),(375,1)}
       188:{1,4,5,7}:{(136,1),(137,1),(139,1),(217,1),(238,1),(241,1),(245,1),(321,1),(330,1),(341,1),(392,1)}
       189:{1,3,6}:{(137,1),(140,1),(147,1),(239,1),(241,1),(337,1),(343,1),(377,1),(426,1)}
       190:{3,4,5,7}:{(138,1),(139,1),(148,1),(219,1),(242,1),(256,1),(322,1),(334,1),(383,1),(395,1),(421,1)}
       191:{2,4,6}:{(139,1),(140,1),(241,1),(242,1),(243,1)}
       192:{1,4}:{(141,1),(235,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(236,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(237,1),(244,1),(247,1),(422,1)}
       195:{1,2,6}:{(144,1),(147,1),(239,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(387,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(317,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(395,1)}
       207:{1,4}:{(159,1),(161,1)}
       208:{1,3,6}:{(159,1),(160,1),(162,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(163,1),(181,1),(258,1),(260,1),(261,1),(278,1),(286,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(164,1),(259,1)}
       211:{2,4,6}:{(161,1),(162,1),(170,1),(257,1),(262,1),(263,1),(354,1)}
       212:{2,3,5,6}:{(162,1),(163,1),(171,1),(183,1),(258,1),(262,1),(264,1),(265,1),(266,1),(289,1),(350,1),(352,1),(354,1),(371,1),(373,1),(398,1),(406,1),(407,1),(424,1)}
       213:{2,3,7}:{(162,1),(164,1),(172,1),(259,1),(263,1)}
       214:{2,4,6}:{(163,1),(165,1),(185,1),(266,1),(267,1)}
       215:{2,5,7}:{(163,1),(164,1),(166,1),(267,1),(268,1),(409,1)}
       216:{1,3,4,6}:{(165,1),(167,1),(174,1),(187,1),(266,1),(269,1),(270,1),(357,1)}
       217:{1,4,7}:{(165,1),(166,1),(168,1),(267,1),(410,1)}
       218:{1,3,6,7}:{(166,1),(169,1),(176,1),(189,1),(268,1),(271,1),(359,1),(365,1)}
       219:{3,4,7}:{(167,1),(168,1),(177,1),(410,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(191,1),(271,1),(272,1),(273,1)}
       221:{1,3,5}:{(170,1),(262,1),(274,1),(352,1)}
       222:{1,3,4,7}:{(170,1),(172,1),(263,1),(275,1),(276,1),(355,1)}
       223:{1,4,6}:{(171,1),(192,1),(264,1),(274,1),(276,1)}
       224:{1,3,5,7}:{(171,1),(172,1),(173,1),(265,1),(276,1),(277,1),(364,1),(405,1),(423,1)}
       225:{1,2,6,7}:{(173,1),(176,1),(195,1),(268,1),(277,1),(354,1)}
       226:{2,5,6}:{(174,1),(196,1),(269,1),(278,1),(279,1),(300,1),(398,1),(424,1)}
       227:{1,3,5,7}:{(174,1),(175,1),(177,1),(270,1),(279,1),(280,1)}
       228:{1,4,6,7}:{(175,1),(176,1),(178,1),(198,1),(280,1),(281,1),(400,1)}
       229:{3,6,7}:{(177,1),(178,1),(199,1),(406,1)}
       230:{2,5,6,7}:{(178,1),(179,1),(200,1),(273,1),(281,1),(282,1),(360,1),(407,1)}
       231:{1,3,5}:{(180,1),(181,1),(183,1),(283,1)}
       232:{1,3,7}:{(180,1),(182,1),(184,1)}
       233:{1,2,4,5}:{(181,1),(185,1),(260,1),(283,1),(285,1),(293,1),(345,1),(366,1),(372,1),(374,1),(398,1)}
       234:{1,2,5,7}:{(181,1),(182,1),(186,1),(284,1),(286,1),(299,1),(346,1)}
       235:{2,4}:{(183,1),(192,1),(283,1),(287,1)}
       236:{2,3,5,7}:{(183,1),(184,1),(186,1),(193,1),(284,1),(288,1),(289,1),(291,1),(371,1)}
       237:{3,5}:{(185,1),(266,1),(287,1)}
       238:{2,4,5,7}:{(185,1),(186,1),(188,1),(267,1),(288,1),(291,1),(292,1),(360,1),(371,1),(410,1),(413,1)}
       239:{2,6}:{(186,1),(189,1)}
       240:{2,4,5}:{(187,1),(196,1),(269,1),(290,1),(293,1),(296,1),(366,1),(372,1),(398,1)}
       241:{1,4,6}:{(188,1),(189,1),(191,1),(292,1),(294,1)}
       242:{3,4,6}:{(190,1),(191,1),(199,1),(295,1),(301,1),(406,1),(425,1)}
       243:{2,5,6}:{(191,1),(273,1),(294,1),(295,1),(371,1)}
       244:{1,3,4}:{(192,1),(194,1),(287,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(288,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(289,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(372,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(409,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(410,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(211,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(212,1),(231,1),(304,1),(306,1),(307,1),(308,1),(331,1),(375,1),(377,1),(392,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(213,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(214,1),(233,1),(306,1),(308,1),(309,1),(319,1),(378,1),(387,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(215,1),(307,1),(309,1),(310,1),(326,1),(415,1)}
       262:{2,5}:{(211,1),(221,1),(304,1)}
       263:{2,4,7}:{(211,1),(213,1),(222,1),(305,1),(312,1)}
       264:{2,4,6}:{(212,1),(223,1),(235,1),(306,1),(311,1),(313,1),(314,1),(396,1)}
       265:{2,3,5,7}:{(212,1),(213,1),(215,1),(224,1),(307,1),(312,1),(314,1),(315,1),(317,1),(382,1),(383,1),(386,1),(389,1),(415,1)}
       266:{3,6}:{(214,1),(237,1),(317,1)}
       267:{2,4,7}:{(214,1),(215,1),(217,1),(317,1)}
       268:{2,6,7}:{(215,1),(218,1),(239,1)}
       269:{2,4,6}:{(216,1),(226,1),(240,1),(316,1),(319,1),(320,1),(387,1)}
       270:{1,3,4,7}:{(216,1),(217,1),(219,1),(227,1),(317,1),(320,1),(388,1)}
       271:{1,4,6,7}:{(217,1),(218,1),(220,1),(241,1),(318,1),(321,1)}
       272:{3,4,6,7}:{(219,1),(220,1),(229,1),(242,1),(322,1),(328,1)}
       273:{2,5,7}:{(220,1),(243,1),(321,1),(322,1)}
       274:{1,4,5}:{(221,1),(223,1),(311,1),(341,1),(414,1)}
       275:{1,3,5,7}:{(221,1),(222,1),(312,1),(323,1),(324,1),(383,1)}
       276:{1,4,7}:{(223,1),(224,1),(314,1)}
       277:{1,3,6,7}:{(224,1),(225,1),(246,1),(315,1),(324,1),(325,1),(426,1)}
       278:{1,5,6}:{(226,1),(248,1),(319,1),(326,1),(343,1),(414,1),(426,1)}
       279:{2,5,7}:{(226,1),(227,1),(320,1),(326,1),(327,1)}
       280:{1,3,6,7}:{(227,1),(228,1),(229,1),(250,1),(327,1),(416,1)}
       281:{1,5,6,7}:{(228,1),(230,1),(251,1),(321,1),(417,1)}
       282:{3,5,6,7}:{(229,1),(230,1),(252,1),(322,1),(328,1),(389,1),(420,1)}
       283:{1,4}:{(231,1),(235,1)}
       284:{1,3,5,7}:{(231,1),(232,1),(234,1),(236,1),(330,1),(331,1),(392,1)}
       285:{1,3,5}:{(233,1),(237,1),(308,1),(329,1),(332,1),(397,1)}
       286:{1,2,6}:{(234,1),(239,1),(331,1),(343,1),(377,1)}
       287:{3,4}:{(235,1),(237,1)}
       288:{2,4,7}:{(235,1),(236,1),(245,1),(330,1),(334,1),(335,1)}
       289:{2,3,6}:{(236,1),(239,1),(246,1),(331,1),(335,1),(337,1)}
       290:{2,3,5}:{(237,1),(240,1),(316,1),(333,1),(336,1)}
       291:{3,5,7}:{(237,1),(238,1),(317,1),(334,1),(337,1),(395,1)}
       292:{2,4,6}:{(238,1),(239,1),(241,1),(337,1),(338,1),(396,1)}
       293:{1,4,5}:{(240,1),(248,1),(319,1),(336,1),(340,1),(391,1),(414,1)}
       294:{1,5,6}:{(241,1),(243,1),(321,1),(338,1),(341,1),(392,1)}
       295:{3,5,6}:{(242,1),(243,1),(322,1),(339,1),(395,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(335,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(387,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(262,1)}
       305:{1,4,7}:{(257,1),(259,1),(263,1),(346,1)}
       306:{1,4,6}:{(258,1),(264,1),(283,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(265,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(266,1),(285,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(267,1),(348,1),(351,1),(361,1),(402,1),(409,1)}
       310:{1,2,6,7}:{(261,1),(268,1),(286,1),(349,1),(365,1),(424,1)}
       311:{2,4,5}:{(262,1),(264,1),(274,1),(345,1),(352,1),(371,1),(398,1),(413,1)}
       312:{2,5,7}:{(262,1),(263,1),(275,1),(346,1),(354,1)}
       313:{3,4,6}:{(264,1),(266,1),(287,1),(352,1),(355,1),(406,1)}
       314:{2,4,7}:{(264,1),(265,1),(276,1),(348,1),(355,1),(410,1)}
       315:{2,3,6,7}:{(265,1),(268,1),(277,1),(289,1),(349,1),(354,1),(356,1),(359,1),(406,1),(424,1)}
       316:{2,3,6}:{(266,1),(269,1),(290,1),(357,1),(358,1)}
       317:{3,7}:{(266,1),(267,1)}
       318:{2,4,6,7}:{(267,1),(268,1),(271,1),(292,1),(359,1),(360,1),(410,1)}
       319:{1,4,6}:{(269,1),(278,1),(293,1),(357,1),(361,1)}
       320:{2,4,7}:{(269,1),(270,1),(279,1),(358,1),(361,1),(409,1)}
       321:{1,5,7}:{(271,1),(273,1),(294,1),(360,1)}
       322:{3,5,7}:{(272,1),(273,1),(295,1),(362,1)}
       323:{1,4,5,7}:{(274,1),(275,1),(276,1),(353,1),(363,1),(364,1),(423,1)}
       324:{1,3,6}:{(275,1),(354,1),(363,1),(406,1)}
       325:{1,4,6,7}:{(276,1),(277,1),(297,1),(356,1),(363,1),(364,1)}
       326:{1,5,7}:{(278,1),(279,1),(361,1),(365,1)}
       327:{2,6,7}:{(279,1),(280,1),(300,1),(365,1),(424,1)}
       328:{4,6,7}:{(282,1),(301,1),(362,1),(410,1),(425,1)}
       329:{1,3,4}:{(283,1),(285,1),(287,1),(366,1)}
       330:{1,4,7}:{(283,1),(284,1),(288,1),(367,1)}
       331:{1,3,6}:{(284,1),(286,1),(289,1),(367,1)}
       332:{2,3,5}:{(285,1),(350,1),(366,1),(368,1),(372,1),(398,1),(412,1)}
       333:{2,3,4}:{(287,1),(290,1),(296,1),(366,1),(369,1),(412,1)}
       334:{3,4,7}:{(287,1),(288,1),(291,1),(370,1),(410,1)}
       335:{2,4,6}:{(288,1),(289,1),(297,1),(367,1),(370,1),(371,1)}
       336:{1,3,5}:{(290,1),(293,1),(357,1),(369,1),(372,1)}
       337:{3,6}:{(291,1),(292,1)}
       338:{2,5,6}:{(292,1),(294,1),(360,1),(371,1),(373,1)}
       339:{4,5,6}:{(295,1),(301,1),(362,1),(413,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(371,1)}
       342:{1,2,5}:{(298,1),(302,1),(372,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(409,1)}
       345:{1,4,5}:{(304,1),(306,1),(311,1),(375,1),(392,1)}
       346:{1,5,7}:{(304,1),(305,1),(312,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(313,1),(329,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(314,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(315,1),(331,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(332,1),(378,1),(381,1),(382,1),(387,1)}
       351:{1,3,7}:{(308,1),(309,1),(317,1),(382,1)}
       352:{3,5}:{(311,1),(313,1)}
       353:{2,4,5,7}:{(311,1),(312,1),(314,1),(323,1),(376,1),(383,1),(384,1),(386,1),(415,1),(421,1)}
       354:{2,6}:{(312,1),(324,1),(377,1)}
       355:{3,4,7}:{(313,1),(314,1),(317,1),(383,1)}
       356:{2,4,6,7}:{(314,1),(315,1),(325,1),(335,1),(380,1),(384,1),(385,1),(386,1)}
       357:{1,3,6}:{(316,1),(319,1),(336,1),(387,1),(388,1)}
       358:{2,3,7}:{(316,1),(317,1),(320,1),(388,1)}
       359:{3,6,7}:{(317,1),(318,1),(337,1),(389,1)}
       360:{2,5,7}:{(318,1),(321,1),(338,1),(389,1)}
       361:{1,4,7}:{(319,1),(320,1),(326,1),(388,1)}
       362:{4,5,7}:{(322,1),(328,1),(339,1)}
       363:{1,4,6}:{(323,1),(324,1),(384,1),(390,1),(426,1)}
       364:{1,5,7}:{(325,1),(341,1),(386,1),(390,1)}
       365:{1,6,7}:{(326,1),(327,1),(343,1),(426,1)}
       366:{2,4}:{(329,1),(332,1),(391,1)}
       367:{1,4,6}:{(330,1),(331,1),(335,1),(392,1)}
       368:{1,3,5}:{(332,1),(381,1),(391,1),(393,1),(414,1),(422,1)}
       369:{1,3,4}:{(333,1),(336,1),(340,1),(391,1),(394,1),(397,1),(422,1)}
       370:{3,4,6}:{(334,1),(335,1),(337,1),(395,1),(396,1)}
       371:{2,5}:{(335,1),(341,1),(392,1),(395,1)}
       372:{2,5}:{(336,1),(387,1),(394,1)}
       373:{3,5,6}:{(337,1),(338,1),(389,1),(395,1),(396,1)}
       374:{1,2,4}:{(340,1),(342,1),(394,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(352,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(353,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(354,1)}
       378:{2,4,6}:{(347,1),(350,1),(366,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(355,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(356,1),(367,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(368,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(409,1)}
       383:{3,5,7}:{(352,1),(353,1),(355,1),(406,1)}
       384:{2,4,6}:{(353,1),(354,1),(363,1),(400,1),(406,1),(407,1),(424,1),(425,1)}
       385:{3,4,6,7}:{(355,1),(356,1),(359,1),(370,1),(406,1),(408,1),(410,1),(425,1)}
       386:{2,5,7}:{(356,1),(364,1),(371,1),(403,1),(407,1),(408,1)}
       387:{2,6}:{(357,1),(372,1),(409,1)}
       388:{1,3,7}:{(357,1),(358,1),(361,1),(409,1)}
       389:{3,5,7}:{(359,1),(360,1),(373,1),(410,1)}
       390:{1,5,6}:{(363,1),(364,1),(407,1)}
       391:{1,4}:{(366,1),(368,1)}
       392:{1,5}:{(367,1),(371,1)}
       393:{1,2,5}:{(368,1),(372,1),(404,1),(411,1)}
       394:{2,4}:{(369,1),(372,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(413,1)}
       396:{4,6}:{(373,1),(410,1),(413,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(383,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(384,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(391,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(386,1),(392,1),(417,1)}
       404:{1,2,6}:{(381,1),(387,1),(393,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{3,6}:{(383,1),(384,1)}
       407:{2,5,6}:{(384,1),(386,1),(390,1),(417,1),(420,1)}
       408:{3,5,7}:{(385,1),(386,1),(395,1),(420,1),(421,1)}
       409:{2,7}:{(387,1),(388,1)}
       410:{4,7}:{(389,1),(396,1)}
       411:{1,2,4}:{(391,1),(393,1),(394,1),(422,1)}
       412:{2,3}:{(394,1),(397,1),(422,1)}
       413:{4,5}:{(395,1),(396,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(406,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(407,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(409,1)}
       420:{3,5,6}:{(406,1),(407,1),(408,1),(425,1)}
       421:{4,5,7}:{(408,1),(410,1),(413,1),(425,1)}
       422:{1,3}:{(411,1),(412,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 299 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 300 :   0:{1,2,5,6}:{(1,1),(2,1),(3,1),(60,1),(116,1),(133,1),(141,1),(199,1),(209,1),(290,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(35,1),(78,1),(97,1),(98,1),(151,1),(244,1),(246,1),(329,1),(388,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(37,1),(178,1),(250,1),(266,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(96,1),(160,1),(181,1),(255,1)}
         4:{1,2,5,6}:{(12,1),(13,1),(14,1),(68,1),(108,1),(139,1),(193,1),(201,1),(209,1),(233,1)}
         5:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(22,1),(49,1),(52,1),(60,1),(108,1),(126,1),(127,1),(141,1),(201,1),(209,1),(217,1),(293,1),(306,1),(370,1),(371,1)}
         6:{1,4,6}:{(1,1),(15,1),(17,1),(19,1),(288,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(16,1),(19,1),(20,1),(23,1),(65,1),(117,1),(200,1)}
         8:{1,2,4,5}:{(2,1),(17,1),(21,1),(60,1),(66,1),(138,1),(199,1),(213,1),(229,1),(234,1),(288,1)}
         9:{1,3,6}:{(2,1),(21,1),(22,1),(23,1),(293,1)}
        10:{1,2,4,7}:{(2,1),(3,1),(19,1),(23,1),(64,1),(225,1),(294,1),(309,1)}
        11:{1,2,6,7}:{(3,1),(20,1),(141,1),(228,1),(290,1),(300,1)}
        12:{1,3,5,6}:{(4,1),(5,1),(24,1),(25,1),(27,1),(42,1),(71,1),(95,1),(153,1),(154,1),(185,1),(187,1),(277,1),(351,1)}
        13:{1,2,4,6}:{(4,1),(24,1),(26,1),(27,1),(28,1),(73,1),(237,1),(250,1),(318,1)}
        14:{1,2,5,7}:{(4,1),(25,1),(28,1),(29,1),(104,1),(152,1),(240,1),(255,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(30,1),(31,1),(32,1),(263,1),(395,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(25,1),(32,1),(33,1),(43,1),(79,1),(84,1),(89,1),(96,1),(152,1),(255,1),(332,1),(391,1)}
        17:{1,4,5}:{(6,1),(30,1),(35,1),(151,1),(388,1)}
        18:{1,3,4,6}:{(6,1),(9,1),(31,1),(35,1),(37,1),(38,1),(40,1),(97,1)}
        19:{1,4,7}:{(6,1),(7,1),(32,1)}
        20:{1,3,6,7}:{(7,1),(11,1),(33,1),(39,1),(97,1),(246,1),(329,1)}
        21:{1,3,5}:{(8,1),(9,1),(40,1),(41,1),(258,1),(278,1)}
        22:{2,3,6}:{(9,1),(37,1),(41,1),(42,1),(43,1),(266,1)}
        23:{1,3,7}:{(9,1),(10,1),(43,1),(332,1)}
        24:{1,4,6}:{(12,1),(15,1),(44,1),(46,1),(231,1)}
        25:{1,3,5,7}:{(12,1),(14,1),(16,1),(46,1),(47,1),(50,1),(69,1),(113,1),(140,1)}
        26:{1,2,4,5}:{(13,1),(44,1),(48,1),(108,1),(114,1),(139,1),(198,1),(213,1),(231,1),(286,1),(291,1)}
        27:{1,3,6}:{(13,1),(48,1),(49,1),(50,1),(293,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(50,1),(112,1),(282,1),(294,1),(354,1)}
        29:{1,2,6,7}:{(14,1),(47,1),(201,1),(233,1),(285,1),(300,1)}
        30:{2,4,5}:{(15,1),(17,1),(44,1),(52,1),(60,1),(108,1),(371,1),(412,1)}
        31:{3,4,6}:{(15,1),(52,1),(55,1),(126,1),(293,1),(301,1)}
        32:{2,4,7}:{(15,1),(16,1),(19,1),(46,1),(55,1),(410,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(47,1),(56,1),(126,1),(141,1),(201,1),(300,1),(306,1),(365,1)}
        34:{1,4,5,6}:{(17,1),(51,1),(57,1),(58,1),(62,1),(193,1),(206,1),(304,1),(312,1),(377,1)}
        35:{1,3,5}:{(17,1),(18,1),(52,1),(60,1)}
        36:{1,4,5,7}:{(17,1),(19,1),(53,1),(61,1),(62,1),(65,1),(200,1)}
        37:{2,4,6}:{(18,1),(22,1),(60,1),(63,1),(64,1),(66,1),(141,1)}
        38:{1,3,4,7}:{(18,1),(19,1),(23,1),(55,1),(61,1),(64,1)}
        39:{1,4,6,7}:{(19,1),(20,1),(56,1),(62,1),(65,1),(362,1)}
        40:{1,3,4}:{(21,1),(66,1),(288,1),(301,1)}
        41:{2,3,5}:{(21,1),(22,1),(60,1),(66,1),(67,1),(229,1),(235,1)}
        42:{1,3,6}:{(22,1),(63,1),(67,1),(68,1),(69,1)}
        43:{2,3,7}:{(22,1),(23,1),(64,1),(69,1),(309,1)}
        44:{1,4,5}:{(24,1),(30,1),(71,1),(95,1),(351,1)}
        45:{1,3,4,6}:{(24,1),(27,1),(31,1),(71,1),(73,1),(74,1),(76,1),(153,1)}
        46:{1,4,7}:{(24,1),(25,1),(32,1)}
        47:{1,3,6,7}:{(25,1),(29,1),(33,1),(75,1),(153,1),(187,1),(277,1)}
        48:{1,3,5}:{(26,1),(27,1),(76,1),(77,1),(258,1),(330,1)}
        49:{2,3,6}:{(27,1),(73,1),(77,1),(78,1),(79,1),(318,1)}
        50:{1,3,7}:{(27,1),(28,1),(79,1),(332,1)}
        51:{2,4,5,6}:{(30,1),(34,1),(70,1),(80,1),(81,1),(85,1),(91,1),(147,1),(161,1),(250,1),(261,1),(262,1),(335,1),(340,1),(392,1),(395,1)}
        52:{3,5}:{(30,1),(31,1)}
        53:{2,4,5,7}:{(30,1),(32,1),(36,1),(72,1),(84,1),(85,1),(89,1),(96,1),(152,1),(176,1)}
        54:{2,3,4,6}:{(31,1),(37,1),(73,1),(83,1),(86,1),(87,1),(101,1),(157,1),(161,1),(172,1),(174,1),(177,1),(236,1),(263,1),(331,1),(341,1),(344,1),(381,1)}
        55:{3,4,7}:{(31,1),(32,1),(84,1),(332,1)}
        56:{2,4,6,7}:{(32,1),(33,1),(39,1),(75,1),(85,1),(88,1),(89,1),(341,1)}
        57:{1,3,5,6}:{(34,1),(35,1),(80,1),(90,1),(91,1),(92,1),(97,1),(346,1),(399,1)}
        58:{1,4,5,7}:{(34,1),(81,1),(92,1),(93,1),(240,1),(251,1),(334,1)}
        59:{1,3,4,5}:{(35,1),(40,1),(82,1),(90,1),(94,1),(167,1),(183,1),(258,1),(275,1),(346,1)}
        60:{2,5}:{(35,1),(37,1),(95,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(38,1),(84,1),(96,1),(97,1)}
        62:{1,4,6}:{(36,1),(85,1),(97,1),(98,1),(246,1)}
        63:{1,4,6}:{(37,1),(42,1),(95,1),(100,1),(102,1),(187,1)}
        64:{2,4,7}:{(37,1),(38,1),(43,1),(96,1),(100,1)}
        65:{1,5,7}:{(39,1),(89,1),(98,1),(388,1)}
        66:{2,4}:{(40,1),(41,1),(102,1)}
        67:{1,3,5}:{(41,1),(42,1),(95,1),(102,1),(103,1),(190,1)}
        68:{1,2,6}:{(42,1),(103,1),(104,1),(266,1)}
        69:{1,3,7}:{(42,1),(43,1),(100,1),(104,1)}
        70:{1,4,5,6}:{(44,1),(51,1),(105,1),(106,1),(110,1),(133,1),(206,1),(304,1),(357,1),(406,1)}
        71:{1,3,5}:{(44,1),(45,1),(52,1),(108,1)}
        72:{1,4,5,7}:{(44,1),(46,1),(53,1),(109,1),(110,1),(113,1),(140,1)}
        73:{2,4,6}:{(45,1),(49,1),(108,1),(111,1),(112,1),(114,1),(201,1)}
        74:{1,3,4,7}:{(45,1),(46,1),(50,1),(55,1),(109,1),(112,1)}
        75:{1,4,6,7}:{(46,1),(47,1),(56,1),(110,1),(113,1),(317,1)}
        76:{1,3,4}:{(48,1),(114,1),(231,1),(301,1)}
        77:{2,3,5}:{(48,1),(49,1),(108,1),(114,1),(115,1),(286,1),(292,1)}
        78:{1,3,6}:{(49,1),(111,1),(115,1),(116,1),(117,1)}
        79:{2,3,7}:{(49,1),(50,1),(112,1),(117,1),(354,1)}
        80:{3,5,6}:{(51,1),(52,1),(118,1),(120,1),(126,1),(293,1),(363,1),(408,1)}
        81:{2,4,5,7}:{(51,1),(58,1),(106,1),(120,1),(121,1),(134,1),(194,1),(207,1),(294,1),(296,1),(297,1),(366,1),(410,1)}
        82:{3,4,5}:{(52,1),(118,1),(122,1),(301,1),(363,1),(412,1)}
        83:{2,3,5}:{(52,1),(54,1),(60,1),(108,1),(122,1),(124,1),(363,1),(371,1),(374,1),(403,1)}
        84:{3,5,7}:{(52,1),(53,1),(55,1),(126,1)}
        85:{2,4,6}:{(53,1),(62,1),(110,1),(126,1),(127,1),(141,1),(201,1),(220,1)}
        86:{1,3,4,6}:{(54,1),(63,1),(111,1),(124,1),(128,1),(129,1),(142,1),(144,1),(202,1),(204,1),(206,1),(219,1),(222,1),(231,1),(279,1),(288,1),(293,1),(301,1),(317,1),(362,1),(369,1),(372,1),(401,1)}
        87:{2,3,4,7}:{(54,1),(55,1),(64,1),(112,1),(125,1),(129,1),(207,1),(221,1),(223,1),(280,1),(305,1),(364,1),(375,1),(404,1)}
        88:{3,4,6,7}:{(55,1),(56,1),(126,1),(130,1),(220,1),(365,1),(369,1),(410,1)}
        89:{2,5,7}:{(56,1),(65,1),(113,1),(127,1),(130,1),(371,1)}
        90:{1,3,4,6}:{(57,1),(59,1),(118,1),(131,1),(132,1),(206,1),(222,1),(293,1)}
        91:{2,5,6}:{(57,1),(60,1),(131,1),(133,1),(134,1),(141,1),(374,1),(414,1)}
        92:{1,3,5,7}:{(57,1),(58,1),(120,1),(132,1),(134,1),(135,1)}
        93:{1,4,6,7}:{(58,1),(62,1),(121,1),(135,1),(136,1),(285,1),(377,1)}
        94:{2,4,5}:{(59,1),(60,1),(66,1),(131,1),(137,1),(138,1),(229,1),(316,1),(374,1)}
        95:{1,5}:{(60,1),(63,1)}
        96:{2,5,7}:{(60,1),(61,1),(64,1),(140,1),(141,1)}
        97:{1,3,6}:{(61,1),(62,1),(126,1),(141,1)}
        98:{1,5,6}:{(62,1),(65,1),(127,1)}
        99:{1,2,4,6}:{(63,1),(68,1),(128,1),(139,1),(142,1),(143,1),(145,1),(231,1),(233,1),(291,1),(317,1),(352,1),(401,1)}
       100:{1,4,7}:{(63,1),(64,1),(69,1),(140,1)}
       101:{2,3,4}:{(66,1),(137,1),(144,1),(235,1),(301,1),(316,1)}
       102:{1,4}:{(66,1),(67,1)}
       103:{1,2,5}:{(67,1),(68,1),(145,1),(229,1)}
       104:{1,2,7}:{(68,1),(69,1),(309,1)}
       105:{1,3,5,6}:{(70,1),(71,1),(80,1),(146,1),(147,1),(148,1),(153,1),(383,1),(418,1)}
       106:{1,4,5,7}:{(70,1),(81,1),(148,1),(149,1),(181,1),(251,1),(334,1)}
       107:{1,3,4,5}:{(71,1),(76,1),(82,1),(146,1),(150,1),(167,1),(242,1),(258,1),(327,1),(383,1)}
       108:{2,5}:{(71,1),(73,1),(151,1)}
       109:{1,3,5,7}:{(71,1),(72,1),(74,1),(84,1),(152,1),(153,1)}
       110:{1,4,6}:{(72,1),(85,1),(153,1),(154,1),(187,1)}
       111:{1,4,6}:{(73,1),(78,1),(151,1),(156,1),(158,1),(246,1)}
       112:{2,4,7}:{(73,1),(74,1),(79,1),(152,1),(156,1)}
       113:{1,5,7}:{(75,1),(89,1),(154,1),(351,1)}
       114:{2,4}:{(76,1),(77,1),(158,1)}
       115:{1,3,5}:{(77,1),(78,1),(151,1),(158,1),(159,1),(249,1)}
       116:{1,2,6}:{(78,1),(159,1),(160,1),(318,1)}
       117:{1,3,7}:{(78,1),(79,1),(156,1),(160,1)}
       118:{3,4,6}:{(80,1),(82,1),(161,1),(162,1),(395,1)}
       119:{2,3,5,6}:{(80,1),(83,1),(91,1),(147,1),(161,1),(163,1),(164,1),(172,1),(177,1),(236,1),(261,1)}
       120:{3,5,7}:{(80,1),(81,1),(162,1),(165,1),(332,1)}
       121:{2,4,6,7}:{(81,1),(85,1),(93,1),(149,1),(165,1),(166,1),(182,1),(241,1),(257,1),(392,1)}
       122:{2,4,5}:{(82,1),(83,1),(161,1),(167,1),(263,1)}
       123:{3,4,5,7}:{(82,1),(84,1),(162,1),(168,1),(169,1),(176,1),(253,1),(338,1),(389,1),(394,1),(421,1)}
       124:{1,3,5}:{(83,1),(86,1),(95,1),(151,1),(167,1),(170,1),(258,1),(351,1),(388,1),(394,1),(396,1),(415,1)}
       125:{2,3,5,7}:{(83,1),(84,1),(87,1),(96,1),(152,1),(168,1),(171,1),(172,1),(389,1),(398,1),(417,1)}
       126:{3,6}:{(84,1),(85,1)}
       127:{2,5,6}:{(85,1),(89,1),(98,1),(154,1),(173,1)}
       128:{2,4,6}:{(86,1),(170,1),(174,1),(175,1),(189,1),(248,1),(263,1),(265,1),(266,1),(318,1)}
       129:{1,3,4,7}:{(86,1),(87,1),(100,1),(156,1),(171,1),(175,1),(188,1),(247,1),(251,1),(267,1),(276,1),(319,1),(328,1),(332,1),(338,1),(397,1),(416,1)}
       130:{3,5,7}:{(88,1),(89,1),(173,1),(176,1),(394,1)}
       131:{2,4,6}:{(90,1),(91,1),(94,1),(177,1),(178,1),(179,1),(266,1)}
       132:{1,3,4,7}:{(90,1),(92,1),(162,1),(179,1),(251,1),(267,1),(332,1)}
       133:{1,5,6}:{(91,1),(95,1),(178,1),(181,1),(187,1),(396,1),(422,1)}
       134:{2,5,7}:{(91,1),(92,1),(179,1),(181,1),(182,1)}
       135:{1,3,6,7}:{(92,1),(93,1),(97,1),(165,1),(182,1),(399,1)}
       136:{1,5,6,7}:{(93,1),(98,1),(166,1),(334,1),(400,1)}
       137:{2,3,5}:{(94,1),(101,1),(177,1),(183,1),(258,1)}
       138:{1,4,5}:{(94,1),(95,1),(102,1),(178,1),(183,1),(350,1),(396,1)}
       139:{1,2,5}:{(95,1),(99,1),(170,1),(185,1),(351,1),(415,1)}
       140:{1,5,7}:{(95,1),(96,1),(100,1),(187,1)}
       141:{2,6}:{(96,1),(97,1),(187,1)}
       142:{1,3,6}:{(99,1),(174,1),(185,1),(188,1),(190,1),(330,1)}
       143:{1,2,4,7}:{(99,1),(100,1),(104,1),(175,1),(186,1),(188,1),(276,1),(380,1),(416,1)}
       144:{1,3,4}:{(101,1),(102,1),(183,1),(189,1),(190,1),(278,1),(350,1)}
       145:{1,2,4}:{(102,1),(103,1),(189,1),(190,1)}
       146:{1,3,4,6}:{(105,1),(107,1),(118,1),(191,1),(192,1),(206,1),(279,1),(293,1)}
       147:{2,5,6}:{(105,1),(108,1),(191,1),(193,1),(194,1),(201,1),(403,1),(424,1)}
       148:{1,3,5,7}:{(105,1),(106,1),(120,1),(192,1),(194,1),(195,1)}
       149:{1,4,6,7}:{(106,1),(110,1),(121,1),(195,1),(196,1),(228,1),(406,1)}
       150:{2,4,5}:{(107,1),(108,1),(114,1),(191,1),(197,1),(198,1),(286,1),(361,1),(403,1)}
       151:{1,5}:{(108,1),(111,1)}
       152:{2,5,7}:{(108,1),(109,1),(112,1),(200,1),(201,1)}
       153:{1,3,6}:{(109,1),(110,1),(126,1),(201,1)}
       154:{1,5,6}:{(110,1),(113,1),(127,1)}
       155:{1,2,4,6}:{(111,1),(116,1),(128,1),(199,1),(202,1),(203,1),(205,1),(234,1),(288,1),(290,1),(307,1),(362,1),(372,1)}
       156:{1,4,7}:{(111,1),(112,1),(117,1),(200,1)}
       157:{2,3,4}:{(114,1),(197,1),(204,1),(292,1),(301,1),(361,1)}
       158:{1,4}:{(114,1),(115,1)}
       159:{1,2,5}:{(115,1),(116,1),(205,1),(286,1)}
       160:{1,2,7}:{(116,1),(117,1),(354,1)}
       161:{2,4,6}:{(118,1),(119,1),(122,1),(206,1),(207,1)}
       162:{3,4,7}:{(118,1),(120,1),(207,1),(410,1)}
       163:{1,3,5,6}:{(119,1),(124,1),(133,1),(193,1),(206,1),(209,1),(210,1),(219,1),(222,1),(279,1),(293,1),(304,1),(370,1)}
       164:{2,3,5,7}:{(119,1),(120,1),(134,1),(194,1),(207,1),(210,1),(211,1),(223,1),(280,1),(296,1)}
       165:{3,6,7}:{(120,1),(121,1),(126,1),(408,1)}
       166:{2,5,6,7}:{(121,1),(127,1),(136,1),(196,1),(212,1),(296,1),(366,1),(411,1)}
       167:{1,4,5}:{(122,1),(124,1),(206,1),(213,1),(231,1),(288,1),(412,1)}
       168:{2,4,5,7}:{(122,1),(123,1),(125,1),(207,1),(214,1),(215,1),(296,1),(305,1),(371,1)}
       169:{3,4,6}:{(123,1),(126,1),(215,1),(216,1),(220,1),(408,1),(425,1)}
       170:{2,5}:{(124,1),(128,1)}
       171:{1,3,5,7}:{(124,1),(125,1),(129,1),(140,1),(200,1),(214,1),(218,1),(219,1),(302,1),(413,1),(423,1)}
       172:{2,3,6}:{(125,1),(126,1),(141,1),(201,1),(215,1),(219,1),(408,1),(414,1),(424,1)}
       173:{3,5,6}:{(126,1),(127,1),(130,1),(220,1)}
       174:{2,3,6}:{(128,1),(142,1),(202,1),(217,1),(221,1),(235,1),(292,1),(293,1)}
       175:{2,4,7}:{(128,1),(129,1),(218,1),(221,1),(309,1),(354,1)}
       176:{4,5,7}:{(130,1),(220,1),(410,1),(412,1)}
       177:{2,3,6}:{(131,1),(137,1),(222,1),(223,1),(293,1)}
       178:{1,4,6}:{(131,1),(133,1),(138,1),(222,1),(225,1)}
       179:{2,4,7}:{(131,1),(132,1),(134,1),(223,1),(225,1),(309,1)}
       180:{1,2,5,6}:{(133,1),(139,1),(209,1),(224,1),(226,1),(227,1),(233,1),(352,1),(374,1),(414,1)}
       181:{1,5,7}:{(133,1),(134,1),(225,1),(228,1)}
       182:{2,6,7}:{(134,1),(135,1),(141,1),(228,1),(414,1)}
       183:{1,3,5}:{(137,1),(138,1),(144,1),(222,1),(229,1)}
       184:{1,2,4,5}:{(138,1),(139,1),(145,1),(213,1),(224,1),(229,1),(230,1),(231,1),(312,1),(316,1),(374,1)}
       185:{1,3,5}:{(139,1),(142,1),(217,1),(231,1)}
       186:{1,2,5,7}:{(139,1),(140,1),(143,1),(218,1),(232,1),(233,1),(423,1)}
       187:{1,6}:{(140,1),(141,1)}
       188:{1,3,7}:{(142,1),(143,1),(221,1)}
       189:{2,4}:{(144,1),(229,1),(235,1)}
       190:{1,3}:{(145,1),(235,1)}
       191:{2,4,6}:{(146,1),(147,1),(150,1),(236,1),(237,1),(238,1),(318,1)}
       192:{1,3,4,7}:{(146,1),(148,1),(162,1),(238,1),(251,1),(319,1),(332,1)}
       193:{1,5,6}:{(147,1),(151,1),(237,1),(240,1),(246,1),(415,1),(426,1)}
       194:{2,5,7}:{(147,1),(148,1),(238,1),(240,1),(241,1)}
       195:{1,3,6,7}:{(148,1),(149,1),(153,1),(165,1),(241,1),(418,1)}
       196:{1,5,6,7}:{(149,1),(154,1),(166,1),(334,1),(419,1)}
       197:{2,3,5}:{(150,1),(157,1),(236,1),(242,1),(258,1)}
       198:{1,4,5}:{(150,1),(151,1),(158,1),(237,1),(242,1),(387,1),(415,1)}
       199:{1,2,5}:{(151,1),(155,1),(170,1),(244,1),(388,1),(396,1)}
       200:{1,5,7}:{(151,1),(152,1),(156,1),(246,1)}
       201:{2,6}:{(152,1),(153,1),(246,1)}
       202:{1,3,6}:{(155,1),(174,1),(244,1),(247,1),(249,1),(278,1)}
       203:{1,2,4,7}:{(155,1),(156,1),(160,1),(175,1),(245,1),(247,1),(328,1),(343,1),(397,1)}
       204:{1,3,4}:{(157,1),(158,1),(242,1),(248,1),(249,1),(330,1),(387,1)}
       205:{1,2,4}:{(158,1),(159,1),(248,1),(249,1)}
       206:{1,4,6}:{(161,1),(163,1),(167,1),(250,1),(251,1),(395,1)}
       207:{2,4,7}:{(161,1),(162,1),(164,1),(251,1)}
       208:{3,4,6,7}:{(162,1),(165,1),(169,1),(252,1),(253,1),(257,1)}
       209:{2,5,6}:{(163,1),(170,1),(250,1),(255,1),(265,1),(266,1),(318,1)}
       210:{1,3,5,7}:{(163,1),(164,1),(181,1),(240,1),(251,1),(255,1),(256,1),(267,1),(319,1),(332,1),(334,1),(391,1)}
       211:{2,3,6,7}:{(164,1),(165,1),(172,1),(182,1),(241,1),(252,1),(256,1)}
       212:{3,5,6,7}:{(165,1),(166,1),(173,1),(253,1),(257,1),(391,1),(420,1)}
       213:{2,4,5}:{(167,1),(170,1),(250,1),(258,1),(263,1)}
       214:{1,4,5,7}:{(167,1),(168,1),(171,1),(251,1),(259,1),(260,1),(276,1),(328,1),(334,1),(351,1),(388,1)}
       215:{2,4,6}:{(168,1),(169,1),(172,1),(260,1),(261,1)}
       216:{3,5,6}:{(169,1),(253,1),(261,1),(262,1),(394,1)}
       217:{2,3,5}:{(170,1),(174,1),(185,1),(244,1),(258,1),(263,1)}
       218:{2,5,7}:{(170,1),(171,1),(175,1),(265,1)}
       219:{1,3,6}:{(171,1),(172,1),(187,1),(246,1),(260,1),(265,1),(339,1),(422,1),(426,1)}
       220:{4,6}:{(173,1),(176,1)}
       221:{2,3,7}:{(174,1),(175,1),(188,1),(247,1),(332,1)}
       222:{1,3,6}:{(177,1),(178,1),(183,1),(266,1),(267,1)}
       223:{2,3,7}:{(177,1),(179,1),(267,1),(332,1)}
       224:{1,2,4,6}:{(178,1),(180,1),(184,1),(250,1),(266,1),(268,1),(269,1),(270,1),(344,1)}
       225:{1,4,7}:{(178,1),(179,1),(181,1),(267,1)}
       226:{1,3,5,6}:{(180,1),(185,1),(254,1),(268,1),(270,1),(271,1),(277,1),(346,1),(351,1),(379,1),(399,1),(400,1),(415,1),(426,1)}
       227:{1,2,5,7}:{(180,1),(181,1),(255,1),(269,1),(271,1),(272,1),(380,1),(398,1)}
       228:{1,6,7}:{(181,1),(182,1),(187,1),(422,1)}
       229:{2,5}:{(183,1),(189,1),(266,1)}
       230:{1,3,5}:{(184,1),(190,1),(258,1),(268,1),(274,1),(275,1)}
       231:{1,4}:{(185,1),(263,1)}
       232:{1,3,5,7}:{(185,1),(186,1),(188,1),(264,1),(276,1),(277,1),(351,1)}
       233:{1,2,6}:{(186,1),(187,1),(265,1),(277,1),(426,1)}
       234:{1,2,4}:{(189,1),(273,1),(278,1),(350,1)}
       235:{2,3}:{(189,1),(190,1),(278,1)}
       236:{2,3,6}:{(191,1),(197,1),(279,1),(280,1),(293,1)}
       237:{1,4,6}:{(191,1),(193,1),(198,1),(279,1),(282,1)}
       238:{2,4,7}:{(191,1),(192,1),(194,1),(280,1),(282,1),(354,1)}
       239:{1,2,5,6}:{(193,1),(199,1),(209,1),(281,1),(283,1),(284,1),(290,1),(307,1),(403,1),(424,1)}
       240:{1,5,7}:{(193,1),(194,1),(282,1),(285,1)}
       241:{2,6,7}:{(194,1),(195,1),(201,1),(285,1),(424,1)}
       242:{1,3,5}:{(197,1),(198,1),(204,1),(279,1),(286,1)}
       243:{1,2,4,5}:{(198,1),(199,1),(205,1),(213,1),(281,1),(286,1),(287,1),(288,1),(357,1),(361,1),(403,1)}
       244:{1,3,5}:{(199,1),(202,1),(217,1),(288,1)}
       245:{1,2,5,7}:{(199,1),(200,1),(203,1),(218,1),(289,1),(290,1),(413,1)}
       246:{1,6}:{(200,1),(201,1)}
       247:{1,3,7}:{(202,1),(203,1),(221,1)}
       248:{2,4}:{(204,1),(286,1),(292,1)}
       249:{1,3}:{(205,1),(292,1)}
       250:{2,4,6}:{(206,1),(209,1),(213,1),(293,1),(294,1)}
       251:{1,4,7}:{(206,1),(207,1),(210,1),(294,1),(410,1)}
       252:{2,4,6,7}:{(207,1),(208,1),(211,1),(215,1),(295,1),(296,1)}
       253:{3,5,7}:{(208,1),(216,1),(296,1),(297,1)}
       254:{2,3,5,6}:{(209,1),(217,1),(226,1),(283,1),(293,1),(298,1),(299,1),(306,1),(308,1),(353,1),(363,1),(370,1),(371,1),(374,1),(403,1),(408,1),(411,1),(414,1),(424,1)}
       255:{2,5,7}:{(209,1),(210,1),(294,1),(300,1),(309,1),(354,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(219,1),(228,1),(285,1),(295,1),(300,1),(365,1)}
       257:{4,6,7}:{(212,1),(220,1),(297,1),(410,1),(425,1)}
       258:{3,5}:{(213,1),(293,1),(301,1)}
       259:{2,4,5,7}:{(213,1),(214,1),(218,1),(294,1),(302,1),(303,1),(305,1),(366,1),(371,1),(410,1),(412,1)}
       260:{1,4,6}:{(214,1),(215,1),(219,1),(303,1),(304,1)}
       261:{2,5,6}:{(215,1),(216,1),(296,1),(304,1),(371,1)}
       262:{4,5,6}:{(216,1),(220,1),(297,1),(412,1),(425,1)}
       263:{2,4}:{(217,1),(231,1),(288,1),(301,1)}
       264:{2,3,5,7}:{(217,1),(218,1),(221,1),(232,1),(289,1),(302,1),(305,1),(306,1),(371,1)}
       265:{2,6}:{(218,1),(219,1)}
       266:{2,6}:{(222,1),(229,1),(309,1)}
       267:{1,3,7}:{(222,1),(223,1),(225,1),(309,1)}
       268:{1,3,6}:{(224,1),(230,1),(293,1),(308,1),(311,1)}
       269:{1,2,4,7}:{(224,1),(225,1),(227,1),(294,1),(309,1),(311,1),(313,1),(375,1)}
       270:{1,4,6}:{(226,1),(231,1),(298,1),(312,1),(313,1)}
       271:{1,3,5,7}:{(226,1),(227,1),(299,1),(311,1),(313,1),(314,1),(378,1),(402,1),(423,1)}
       272:{1,2,6,7}:{(227,1),(228,1),(233,1),(300,1),(314,1),(414,1)}
       273:{1,2,5}:{(229,1),(234,1),(307,1),(315,1)}
       274:{2,3,5}:{(229,1),(230,1),(235,1),(308,1),(315,1),(316,1),(374,1)}
       275:{1,3,4}:{(230,1),(231,1),(301,1),(316,1)}
       276:{1,4,7}:{(231,1),(232,1),(305,1),(317,1)}
       277:{1,3,6}:{(232,1),(233,1),(306,1),(317,1)}
       278:{1,3}:{(234,1),(235,1)}
       279:{1,3,6}:{(236,1),(237,1),(242,1),(318,1),(319,1)}
       280:{2,3,7}:{(236,1),(238,1),(319,1),(332,1)}
       281:{1,2,4,6}:{(237,1),(239,1),(243,1),(250,1),(318,1),(320,1),(321,1),(322,1),(381,1)}
       282:{1,4,7}:{(237,1),(238,1),(240,1),(319,1)}
       283:{1,3,5,6}:{(239,1),(244,1),(254,1),(320,1),(322,1),(323,1),(329,1),(342,1),(383,1),(388,1),(396,1),(418,1),(419,1),(422,1)}
       284:{1,2,5,7}:{(239,1),(240,1),(255,1),(321,1),(323,1),(324,1),(343,1),(417,1)}
       285:{1,6,7}:{(240,1),(241,1),(246,1),(426,1)}
       286:{2,5}:{(242,1),(248,1),(318,1)}
       287:{1,3,5}:{(243,1),(249,1),(258,1),(320,1),(326,1),(327,1)}
       288:{1,4}:{(244,1),(263,1)}
       289:{1,3,5,7}:{(244,1),(245,1),(247,1),(264,1),(328,1),(329,1),(388,1)}
       290:{1,2,6}:{(245,1),(246,1),(265,1),(329,1),(422,1)}
       291:{1,2,4}:{(248,1),(325,1),(330,1),(387,1)}
       292:{2,3}:{(248,1),(249,1),(330,1)}
       293:{3,6}:{(250,1),(258,1),(332,1)}
       294:{2,4,7}:{(250,1),(251,1),(255,1),(332,1)}
       295:{1,4,6,7}:{(251,1),(252,1),(256,1),(260,1),(333,1),(334,1)}
       296:{2,5,7}:{(252,1),(253,1),(261,1),(334,1)}
       297:{4,5,7}:{(253,1),(257,1),(262,1)}
       298:{2,4,6}:{(254,1),(263,1),(270,1),(322,1),(331,1),(335,1),(336,1),(395,1)}
       299:{2,3,5,7}:{(254,1),(255,1),(271,1),(323,1),(332,1),(336,1),(337,1),(345,1),(382,1),(389,1),(391,1),(393,1),(398,1),(417,1)}
       300:{2,6,7}:{(255,1),(256,1),(265,1)}
       301:{3,4}:{(258,1),(263,1)}
       302:{3,5,7}:{(258,1),(259,1),(332,1),(338,1),(339,1),(394,1)}
       303:{2,4,6}:{(259,1),(260,1),(265,1),(339,1),(340,1),(395,1)}
       304:{1,5,6}:{(260,1),(261,1),(334,1),(340,1),(351,1),(388,1)}
       305:{2,4,7}:{(263,1),(264,1),(276,1),(328,1),(338,1),(341,1)}
       306:{2,3,6}:{(264,1),(265,1),(277,1),(329,1),(339,1),(341,1)}
       307:{1,2,6}:{(266,1),(273,1),(342,1),(343,1)}
       308:{2,3,6}:{(266,1),(268,1),(274,1),(342,1),(344,1),(345,1)}
       309:{2,7}:{(266,1),(267,1)}
       310:{1,3,4,6}:{(268,1),(270,1),(275,1),(331,1),(344,1),(346,1),(347,1),(399,1)}
       311:{1,3,7}:{(268,1),(269,1),(332,1),(345,1)}
       312:{1,4,5}:{(270,1),(335,1),(346,1),(351,1),(415,1)}
       313:{1,4,7}:{(270,1),(271,1),(336,1)}
       314:{1,3,6,7}:{(271,1),(272,1),(277,1),(337,1),(349,1),(399,1),(426,1)}
       315:{1,3,5}:{(273,1),(274,1),(278,1),(342,1),(350,1),(396,1)}
       316:{2,4}:{(274,1),(275,1),(350,1)}
       317:{1,4,6}:{(276,1),(277,1),(341,1),(351,1)}
       318:{2,6}:{(279,1),(286,1),(354,1)}
       319:{1,3,7}:{(279,1),(280,1),(282,1),(354,1)}
       320:{1,3,6}:{(281,1),(287,1),(293,1),(353,1),(356,1)}
       321:{1,2,4,7}:{(281,1),(282,1),(284,1),(294,1),(354,1),(356,1),(358,1),(404,1)}
       322:{1,4,6}:{(283,1),(288,1),(298,1),(357,1),(358,1)}
       323:{1,3,5,7}:{(283,1),(284,1),(299,1),(356,1),(358,1),(359,1),(373,1),(407,1),(413,1)}
       324:{1,2,6,7}:{(284,1),(285,1),(290,1),(300,1),(359,1),(424,1)}
       325:{1,2,5}:{(286,1),(291,1),(352,1),(360,1)}
       326:{2,3,5}:{(286,1),(287,1),(292,1),(353,1),(360,1),(361,1),(403,1)}
       327:{1,3,4}:{(287,1),(288,1),(301,1),(361,1)}
       328:{1,4,7}:{(288,1),(289,1),(305,1),(362,1)}
       329:{1,3,6}:{(289,1),(290,1),(306,1),(362,1)}
       330:{1,3}:{(291,1),(292,1)}
       331:{3,4,6}:{(293,1),(298,1),(301,1),(363,1),(364,1),(408,1)}
       332:{3,7}:{(293,1),(294,1)}
       333:{2,4,6,7}:{(294,1),(295,1),(300,1),(303,1),(365,1),(366,1),(410,1)}
       334:{1,5,7}:{(295,1),(296,1),(304,1),(366,1)}
       335:{2,4,5}:{(298,1),(312,1),(357,1),(363,1),(371,1),(374,1),(403,1),(412,1)}
       336:{2,4,7}:{(298,1),(299,1),(313,1),(358,1),(364,1),(410,1)}
       337:{2,3,6,7}:{(299,1),(300,1),(306,1),(314,1),(359,1),(365,1),(368,1),(408,1),(414,1),(424,1)}
       338:{3,4,7}:{(301,1),(302,1),(305,1),(369,1),(410,1)}
       339:{3,6}:{(302,1),(303,1)}
       340:{2,5,6}:{(303,1),(304,1),(366,1),(370,1),(371,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(369,1),(371,1)}
       342:{1,3,6}:{(307,1),(308,1),(315,1),(372,1),(373,1)}
       343:{1,2,7}:{(307,1),(309,1),(373,1)}
       344:{2,4,6}:{(308,1),(310,1),(316,1),(372,1),(374,1),(375,1),(414,1)}
       345:{2,3,7}:{(308,1),(309,1),(311,1),(373,1),(375,1)}
       346:{1,3,5}:{(310,1),(312,1),(363,1),(374,1)}
       347:{1,3,4,7}:{(310,1),(311,1),(313,1),(364,1),(375,1),(376,1)}
       348:{1,4,5,7}:{(312,1),(313,1),(367,1),(376,1),(377,1),(378,1),(423,1)}
       349:{1,4,6,7}:{(313,1),(314,1),(317,1),(368,1),(377,1),(378,1)}
       350:{1,4}:{(315,1),(316,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(318,1),(325,1),(379,1),(380,1)}
       353:{2,3,6}:{(318,1),(320,1),(326,1),(379,1),(381,1),(382,1)}
       354:{2,7}:{(318,1),(319,1)}
       355:{1,3,4,6}:{(320,1),(322,1),(327,1),(331,1),(381,1),(383,1),(384,1),(418,1)}
       356:{1,3,7}:{(320,1),(321,1),(332,1),(382,1)}
       357:{1,4,5}:{(322,1),(335,1),(383,1),(388,1),(396,1)}
       358:{1,4,7}:{(322,1),(323,1),(336,1)}
       359:{1,3,6,7}:{(323,1),(324,1),(329,1),(337,1),(386,1),(418,1),(422,1)}
       360:{1,3,5}:{(325,1),(326,1),(330,1),(379,1),(387,1),(415,1)}
       361:{2,4}:{(326,1),(327,1),(387,1)}
       362:{1,4,6}:{(328,1),(329,1),(341,1),(388,1)}
       363:{3,5}:{(331,1),(335,1)}
       364:{3,4,7}:{(331,1),(332,1),(336,1),(389,1)}
       365:{3,6,7}:{(332,1),(333,1),(339,1),(391,1)}
       366:{2,5,7}:{(333,1),(334,1),(340,1),(391,1)}
       367:{2,4,5,7}:{(335,1),(336,1),(348,1),(385,1),(389,1),(392,1),(393,1),(398,1),(417,1),(421,1)}
       368:{2,4,6,7}:{(336,1),(337,1),(341,1),(349,1),(386,1),(390,1),(392,1),(393,1)}
       369:{3,4,6}:{(338,1),(339,1),(341,1),(394,1),(395,1)}
       370:{3,5,6}:{(339,1),(340,1),(391,1),(394,1),(395,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(394,1)}
       372:{1,4,6}:{(342,1),(344,1),(350,1),(396,1),(397,1),(422,1)}
       373:{1,3,7}:{(342,1),(343,1),(345,1),(397,1)}
       374:{2,5}:{(344,1),(346,1),(396,1)}
       375:{2,4,7}:{(344,1),(345,1),(347,1),(397,1),(398,1)}
       376:{1,3,5,7}:{(346,1),(347,1),(348,1),(389,1),(398,1),(399,1)}
       377:{1,4,6}:{(348,1),(392,1),(399,1),(400,1),(426,1)}
       378:{1,5,7}:{(349,1),(351,1),(393,1),(400,1)}
       379:{1,3,6}:{(352,1),(353,1),(360,1),(401,1),(402,1)}
       380:{1,2,7}:{(352,1),(354,1),(402,1)}
       381:{2,4,6}:{(353,1),(355,1),(361,1),(401,1),(403,1),(404,1),(424,1)}
       382:{2,3,7}:{(353,1),(354,1),(356,1),(402,1),(404,1)}
       383:{1,3,5}:{(355,1),(357,1),(363,1),(403,1)}
       384:{1,3,4,7}:{(355,1),(356,1),(358,1),(364,1),(404,1),(405,1)}
       385:{1,4,5,7}:{(357,1),(358,1),(367,1),(405,1),(406,1),(407,1),(413,1)}
       386:{1,4,6,7}:{(358,1),(359,1),(362,1),(368,1),(406,1),(407,1)}
       387:{1,4}:{(360,1),(361,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(367,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(368,1),(369,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(370,1),(410,1)}
       392:{2,4,6}:{(367,1),(377,1),(406,1),(408,1),(411,1),(414,1),(424,1),(425,1)}
       393:{2,5,7}:{(368,1),(371,1),(378,1),(407,1),(409,1),(411,1)}
       394:{3,5}:{(369,1),(371,1),(412,1)}
       395:{4,6}:{(370,1),(410,1),(412,1)}
       396:{1,5}:{(372,1),(374,1)}
       397:{1,4,7}:{(372,1),(373,1),(375,1),(413,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(377,1),(408,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(411,1)}
       401:{1,4,6}:{(379,1),(381,1),(387,1),(415,1),(416,1),(426,1)}
       402:{1,3,7}:{(379,1),(380,1),(382,1),(416,1)}
       403:{2,5}:{(381,1),(383,1),(415,1)}
       404:{2,4,7}:{(381,1),(382,1),(384,1),(416,1),(417,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(385,1),(389,1),(417,1),(418,1)}
       406:{1,4,6}:{(385,1),(392,1),(418,1),(419,1),(422,1)}
       407:{1,5,7}:{(386,1),(388,1),(393,1),(419,1)}
       408:{3,6}:{(389,1),(392,1)}
       409:{3,5,7}:{(390,1),(393,1),(394,1),(420,1),(421,1)}
       410:{4,7}:{(391,1),(395,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,5}:{(401,1),(403,1)}
       416:{1,4,7}:{(401,1),(402,1),(404,1),(423,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(406,1),(408,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{3,5,6}:{(408,1),(409,1),(411,1),(425,1)}
       421:{4,5,7}:{(409,1),(410,1),(412,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 301 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(20,1),(47,1),(87,1),(134,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(35,1),(62,1),(107,1),(114,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(9,1),(30,1),(152,1)}
         3:{1,2,6}:{(0,1),(7,1),(72,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(41,1),(53,1),(81,1),(102,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(18,1),(39,1),(42,1),(45,1),(47,1),(55,1),(81,1),(89,1)}
         6:{1,4,7}:{(1,1),(13,1),(17,1),(56,1),(135,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(129,1)}
         8:{1,3,7}:{(2,1),(18,1),(19,1),(165,1),(184,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(51,1),(56,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(33,1),(61,1),(64,1),(71,1),(78,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(59,1),(125,1)}
        12:{1,2,6}:{(4,1),(22,1),(108,1)}
        13:{2,4,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(7,1),(22,1),(27,1),(66,1),(72,1),(108,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(28,1),(29,1),(32,1),(70,1),(76,1),(107,1),(120,1),(150,1),(171,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(26,1),(28,1),(30,1),(31,1),(120,1),(153,1),(155,1)}
        17:{1,4,6}:{(6,1),(7,1),(27,1),(32,1)}
        18:{2,3,7}:{(8,1),(30,1),(33,1),(34,1),(155,1),(175,1),(177,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(178,1)}
        20:{1,2,5}:{(9,1),(32,1),(35,1),(75,1),(179,1)}
        21:{1,4,7}:{(10,1),(13,1),(38,1),(90,1),(103,1)}
        22:{1,3,6}:{(10,1),(12,1),(14,1),(38,1),(97,1)}
        23:{1,3,7}:{(11,1),(39,1),(40,1),(143,1),(188,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(85,1),(90,1)}
        25:{2,4,5,7}:{(13,1),(15,1),(36,1),(42,1),(43,1),(45,1),(47,1),(81,1),(92,1),(94,1),(101,1),(133,1),(137,1),(139,1),(161,1)}
        26:{3,4,7}:{(13,1),(42,1),(44,1),(104,1),(136,1),(137,1)}
        27:{2,4,6}:{(13,1),(14,1),(17,1),(38,1),(44,1),(45,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1),(52,1),(164,1),(180,1)}
        29:{1,4,6}:{(15,1),(43,1),(48,1),(49,1),(129,1)}
        30:{2,4,7}:{(16,1),(18,1),(47,1),(50,1),(51,1),(166,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(19,1),(44,1),(48,1),(51,1),(52,1),(56,1),(99,1),(104,1),(141,1)}
        32:{1,5}:{(17,1),(45,1)}
        33:{1,3,7}:{(18,1),(50,1),(53,1),(54,1),(183,1)}
        34:{2,3,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(141,1),(168,1)}
        35:{1,3,5}:{(19,1),(20,1),(55,1),(56,1),(169,1),(170,1)}
        36:{1,4,5,7}:{(21,1),(25,1),(57,1),(58,1),(61,1),(71,1),(106,1),(112,1),(123,1),(147,1),(154,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(26,1),(57,1),(59,1),(60,1),(126,1),(147,1),(172,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(61,1)}
        39:{2,3,7}:{(23,1),(59,1),(62,1),(63,1),(158,1),(172,1),(185,1)}
        40:{1,3,6}:{(23,1),(24,1),(63,1),(64,1),(186,1)}
        41:{1,2,5}:{(24,1),(61,1),(64,1),(111,1),(187,1)}
        42:{3,5,7}:{(25,1),(26,1),(66,1),(68,1),(124,1),(151,1),(155,1),(172,1)}
        43:{2,4,6}:{(25,1),(29,1),(58,1),(66,1),(67,1),(72,1),(108,1),(117,1)}
        44:{3,4,6}:{(26,1),(27,1),(66,1),(68,1),(117,1)}
        45:{2,5}:{(27,1),(32,1),(61,1),(68,1)}
        46:{1,4,6,7}:{(29,1),(65,1),(69,1),(70,1),(120,1),(145,1),(171,1)}
        47:{2,5,7}:{(28,1),(30,1),(71,1),(72,1),(75,1),(174,1),(185,1)}
        48:{1,3,6}:{(28,1),(29,1),(66,1),(72,1)}
        49:{1,5,6}:{(29,1),(32,1),(67,1),(70,1)}
        50:{1,4,7}:{(30,1),(33,1),(71,1),(74,1),(176,1)}
        51:{2,4,6}:{(30,1),(31,1),(34,1),(72,1),(74,1),(75,1),(79,1)}
        52:{1,3,5}:{(31,1),(32,1),(68,1),(75,1),(76,1),(124,1)}
        53:{1,2,7}:{(33,1),(77,1),(177,1),(187,1)}
        54:{1,3,6}:{(33,1),(34,1),(74,1),(77,1),(78,1)}
        55:{2,3,5}:{(34,1),(35,1),(75,1),(78,1),(79,1),(124,1),(157,1),(158,1)}
        56:{1,4}:{(35,1),(79,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(42,1),(81,1),(82,1),(86,1),(142,1),(167,1)}
        58:{1,4,6}:{(36,1),(43,1),(82,1),(83,1),(97,1)}
        59:{2,4,7}:{(37,1),(39,1),(81,1),(84,1),(85,1),(144,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(40,1),(44,1),(82,1),(85,1),(86,1),(90,1),(131,1),(136,1),(163,1)}
        61:{1,5}:{(38,1),(45,1)}
        62:{1,3,7}:{(39,1),(84,1),(87,1),(88,1),(170,1)}
        63:{2,3,6}:{(39,1),(40,1),(85,1),(88,1),(89,1),(163,1),(181,1)}
        64:{1,3,5}:{(40,1),(41,1),(89,1),(90,1),(182,1),(183,1)}
        65:{2,4,6,7}:{(43,1),(46,1),(80,1),(91,1),(92,1),(95,1),(127,1),(137,1),(139,1),(161,1)}
        66:{3,6}:{(42,1),(43,1)}
        67:{2,5,6}:{(43,1),(45,1),(49,1),(83,1),(92,1),(93,1)}
        68:{3,5}:{(44,1),(45,1),(94,1)}
        69:{1,3,6,7}:{(46,1),(48,1),(91,1),(95,1),(96,1),(180,1)}
        70:{1,5,7}:{(46,1),(49,1),(92,1)}
        71:{1,5,7}:{(47,1),(50,1),(97,1),(100,1),(182,1),(188,1)}
        72:{2,6}:{(47,1),(48,1),(97,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(52,1),(93,1),(96,1),(98,1),(99,1),(141,1)}
        74:{1,4,6}:{(50,1),(51,1),(54,1),(97,1),(100,1),(103,1)}
        75:{2,5}:{(51,1),(52,1),(100,1)}
        76:{1,4,5}:{(52,1),(56,1),(94,1),(99,1),(101,1),(169,1)}
        77:{1,2,6}:{(53,1),(54,1),(102,1),(168,1)}
        78:{1,3,5}:{(54,1),(55,1),(100,1),(102,1),(103,1),(143,1)}
        79:{2,4}:{(55,1),(56,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(58,1),(65,1),(105,1),(106,1),(118,1),(147,1),(154,1)}
        81:{2,5,7}:{(57,1),(59,1),(107,1),(108,1),(111,1),(157,1),(177,1)}
        82:{1,3,6}:{(57,1),(58,1),(66,1),(108,1)}
        83:{1,5,6}:{(58,1),(61,1),(67,1),(106,1)}
        84:{1,4,7}:{(59,1),(62,1),(107,1),(110,1),(159,1)}
        85:{2,4,6}:{(59,1),(60,1),(63,1),(108,1),(110,1),(111,1),(115,1)}
        86:{1,3,5}:{(60,1),(61,1),(68,1),(111,1),(112,1),(151,1)}
        87:{1,2,7}:{(62,1),(113,1),(179,1),(185,1)}
        88:{1,3,6}:{(62,1),(63,1),(110,1),(113,1),(114,1)}
        89:{2,3,5}:{(63,1),(64,1),(111,1),(114,1),(115,1),(151,1),(174,1),(175,1)}
        90:{1,4}:{(64,1),(115,1)}
        91:{3,6,7}:{(65,1),(66,1),(116,1),(155,1),(172,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1),(106,1),(116,1)}
        93:{3,5,6}:{(66,1),(67,1),(68,1),(116,1),(117,1)}
        94:{4,5}:{(68,1),(117,1)}
        95:{2,6,7}:{(69,1),(72,1),(118,1),(119,1),(185,1)}
        96:{1,3,5,7}:{(69,1),(70,1),(73,1),(116,1),(119,1),(120,1),(155,1)}
        97:{1,6}:{(71,1),(72,1)}
        98:{2,5,6}:{(72,1),(73,1),(75,1),(119,1),(121,1),(122,1)}
        99:{1,4,6}:{(73,1),(76,1),(117,1),(120,1),(122,1),(178,1)}
       100:{1,5}:{(74,1),(75,1)}
       101:{2,4,5}:{(75,1),(76,1),(79,1),(122,1),(123,1),(124,1),(157,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1),(157,1)}
       103:{1,4}:{(78,1),(79,1)}
       104:{3,4}:{(79,1),(124,1)}
       105:{1,3,6,7}:{(80,1),(82,1),(91,1),(127,1),(128,1),(167,1)}
       106:{1,5,7}:{(80,1),(83,1),(92,1)}
       107:{1,5,7}:{(81,1),(84,1),(129,1),(132,1),(169,1),(184,1)}
       108:{2,6}:{(81,1),(82,1),(129,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(86,1),(93,1),(128,1),(130,1),(131,1),(163,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(129,1),(132,1),(135,1)}
       111:{2,5}:{(85,1),(86,1),(132,1)}
       112:{1,4,5}:{(86,1),(90,1),(94,1),(131,1),(133,1),(182,1)}
       113:{1,2,6}:{(87,1),(88,1),(134,1),(181,1)}
       114:{1,3,5}:{(88,1),(89,1),(132,1),(134,1),(135,1),(165,1)}
       115:{2,4}:{(89,1),(90,1),(135,1),(136,1)}
       116:{3,5,7}:{(91,1),(92,1),(93,1),(137,1)}
       117:{4,6}:{(93,1),(94,1),(137,1)}
       118:{1,6,7}:{(95,1),(97,1),(138,1),(188,1)}
       119:{2,5,7}:{(95,1),(96,1),(98,1),(138,1),(139,1)}
       120:{1,4,7}:{(96,1),(99,1),(137,1),(139,1),(184,1)}
       121:{1,5,6}:{(97,1),(98,1),(100,1),(138,1),(140,1)}
       122:{2,4,6}:{(98,1),(99,1),(101,1),(139,1),(140,1),(141,1),(168,1)}
       123:{1,4,5}:{(100,1),(101,1),(103,1),(140,1),(142,1)}
       124:{3,5}:{(101,1),(104,1),(141,1)}
       125:{1,2,4}:{(102,1),(103,1),(143,1),(144,1)}
       126:{1,3,4}:{(103,1),(104,1),(142,1),(143,1),(144,1)}
       127:{2,6,7}:{(105,1),(108,1),(145,1),(146,1),(177,1)}
       128:{1,3,5,7}:{(105,1),(106,1),(109,1),(116,1),(146,1),(147,1),(172,1)}
       129:{1,6}:{(107,1),(108,1)}
       130:{2,5,6}:{(108,1),(109,1),(111,1),(146,1),(148,1),(149,1)}
       131:{1,4,6}:{(109,1),(112,1),(117,1),(147,1),(149,1),(186,1)}
       132:{1,5}:{(110,1),(111,1)}
       133:{2,4,5}:{(111,1),(112,1),(115,1),(149,1),(150,1),(151,1),(174,1)}
       134:{1,2,5}:{(113,1),(114,1),(152,1),(174,1)}
       135:{1,4}:{(114,1),(115,1)}
       136:{3,4}:{(115,1),(151,1)}
       137:{4,7}:{(116,1),(117,1)}
       138:{1,5,7}:{(118,1),(119,1),(121,1),(154,1)}
       139:{2,4,7}:{(119,1),(120,1),(122,1),(154,1),(155,1),(177,1)}
       140:{1,4,6}:{(121,1),(122,1),(123,1),(154,1),(156,1)}
       141:{3,6}:{(122,1),(124,1),(155,1)}
       142:{1,3,5}:{(123,1),(124,1),(126,1),(156,1),(157,1)}
       143:{1,3}:{(125,1),(158,1)}
       144:{2,4}:{(126,1),(157,1),(158,1),(159,1)}
       145:{1,6,7}:{(127,1),(129,1),(160,1),(184,1)}
       146:{2,5,7}:{(127,1),(128,1),(130,1),(160,1),(161,1)}
       147:{1,4,7}:{(128,1),(131,1),(137,1),(161,1),(188,1)}
       148:{1,5,6}:{(129,1),(130,1),(132,1),(160,1),(162,1)}
       149:{2,4,6}:{(130,1),(131,1),(133,1),(161,1),(162,1),(163,1),(181,1)}
       150:{1,4,5}:{(132,1),(133,1),(135,1),(162,1),(164,1)}
       151:{3,5}:{(133,1),(136,1),(163,1)}
       152:{1,2,4}:{(134,1),(135,1),(165,1),(166,1)}
       153:{1,3,4}:{(135,1),(136,1),(164,1),(165,1),(166,1)}
       154:{1,4,7}:{(138,1),(139,1),(140,1),(167,1)}
       155:{3,7}:{(139,1),(141,1)}
       156:{1,3,6}:{(140,1),(141,1),(142,1),(167,1),(168,1)}
       157:{2,5}:{(142,1),(144,1),(168,1),(169,1)}
       158:{2,3}:{(143,1),(144,1),(170,1)}
       159:{1,4}:{(144,1),(169,1),(170,1)}
       160:{1,5,7}:{(145,1),(146,1),(148,1),(171,1)}
       161:{2,4,7}:{(146,1),(147,1),(149,1),(171,1),(172,1),(185,1)}
       162:{1,4,6}:{(148,1),(149,1),(150,1),(171,1),(173,1)}
       163:{3,6}:{(149,1),(151,1),(172,1)}
       164:{1,3,5}:{(150,1),(151,1),(153,1),(173,1),(174,1)}
       165:{1,3}:{(152,1),(175,1)}
       166:{2,4}:{(153,1),(174,1),(175,1),(176,1)}
       167:{1,3,7}:{(154,1),(155,1),(156,1),(177,1)}
       168:{2,6}:{(156,1),(157,1),(177,1),(178,1)}
       169:{1,5}:{(157,1),(159,1),(178,1)}
       170:{1,3}:{(158,1),(159,1),(179,1)}
       171:{1,4,7}:{(160,1),(161,1),(162,1),(180,1)}
       172:{3,7}:{(161,1),(163,1)}
       173:{1,3,6}:{(162,1),(163,1),(164,1),(180,1),(181,1)}
       174:{2,5}:{(164,1),(166,1),(181,1),(182,1)}
       175:{2,3}:{(165,1),(166,1),(183,1)}
       176:{1,4}:{(166,1),(182,1),(183,1)}
       177:{2,7}:{(167,1),(168,1),(184,1)}
       178:{1,6}:{(168,1),(169,1),(184,1)}
       179:{1,2}:{(170,1)}
       180:{1,3,7}:{(171,1),(172,1),(173,1),(185,1)}
       181:{2,6}:{(173,1),(174,1),(185,1),(186,1)}
       182:{1,5}:{(174,1),(176,1),(186,1)}
       183:{1,3}:{(175,1),(176,1),(187,1)}
       184:{1,7}:{(177,1),(178,1)}
       185:{2,7}:{(180,1),(181,1),(188,1)}
       186:{1,6}:{(181,1),(182,1),(188,1)}
       187:{1,2}:{(183,1)}
       188:{1,7}:{(185,1),(186,1)}

 302 :   0:{1,2,6,7}:{(1,1),(2,1),(100,1),(175,1),(232,1),(247,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(190,1),(273,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(70,1),(119,1),(215,1),(286,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(149,1),(178,1),(229,1),(247,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(92,1),(100,1),(149,1),(247,1),(250,1),(319,1)}
         5:{1,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(44,1),(312,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(17,1),(86,1),(150,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(100,1),(103,1),(157,1),(177,1),(232,1),(236,1),(249,1)}
         8:{1,2,4,7}:{(2,1),(15,1),(16,1),(17,1),(48,1),(255,1),(322,1),(329,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(111,1),(137,1),(220,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(77,1),(112,1),(268,1),(286,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(25,1),(62,1),(290,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(25,1),(32,1),(58,1),(63,1),(70,1),(112,1),(286,1),(351,1),(355,1)}
        13:{1,5,7}:{(5,1),(23,1),(26,1),(346,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(24,1),(26,1),(28,1),(31,1),(69,1),(71,1),(118,1),(190,1),(193,1),(273,1),(277,1),(346,1)}
        15:{1,4,7}:{(6,1),(25,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(72,1),(218,1),(288,1),(297,1)}
        17:{1,3,7}:{(8,1),(31,1),(32,1),(355,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(33,1),(35,1),(79,1),(261,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(35,1),(37,1),(51,1),(101,1)}
        20:{1,2,5,6}:{(10,1),(34,1),(36,1),(108,1),(149,1),(152,1),(178,1),(182,1),(231,1),(249,1)}
        21:{1,2,4,7}:{(10,1),(35,1),(36,1),(37,1),(83,1),(306,1),(322,1),(369,1)}
        22:{3,4,6,7}:{(11,1),(38,1),(42,1),(88,1),(92,1),(319,1),(321,1),(379,1)}
        23:{2,5,7}:{(11,1),(13,1),(33,1),(38,1),(39,1),(327,1)}
        24:{2,3,5,6}:{(12,1),(14,1),(34,1),(39,1),(41,1),(50,1),(85,1),(92,1),(94,1),(100,1),(103,1),(149,1),(152,1),(249,1),(250,1),(253,1),(320,1),(325,1),(327,1)}
        25:{2,4,7}:{(12,1),(15,1),(35,1),(41,1),(42,1),(379,1)}
        26:{1,5,6}:{(13,1),(39,1),(44,1)}
        27:{1,4,5,7}:{(13,1),(15,1),(40,1),(44,1),(45,1),(46,1),(150,1)}
        28:{1,4,6}:{(14,1),(15,1),(41,1),(46,1),(315,1)}
        29:{1,3,4,7}:{(15,1),(17,1),(42,1),(45,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(16,1),(46,1),(49,1),(103,1),(106,1),(181,1),(236,1),(252,1),(262,1),(265,1),(315,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(50,1),(325,1)}
        32:{2,3,7}:{(17,1),(48,1),(50,1),(51,1),(329,1)}
        33:{1,5,7}:{(18,1),(23,1),(52,1),(300,1)}
        34:{1,3,5,6}:{(19,1),(20,1),(24,1),(52,1),(54,1),(57,1),(76,1),(111,1),(113,1),(137,1),(140,1),(220,1),(224,1),(300,1)}
        35:{1,4,7}:{(19,1),(25,1),(54,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(54,1),(56,1),(57,1),(114,1),(271,1),(288,1),(343,1)}
        37:{1,3,7}:{(21,1),(57,1),(58,1),(355,1)}
        38:{3,5,7}:{(22,1),(23,1),(59,1),(60,1),(354,1)}
        39:{2,5,6}:{(23,1),(26,1),(52,1),(59,1),(62,1)}
        40:{2,4,5,7}:{(23,1),(25,1),(27,1),(53,1),(60,1),(62,1),(63,1),(64,1),(70,1),(112,1)}
        41:{2,4,6}:{(24,1),(25,1),(28,1),(54,1),(64,1),(65,1),(292,1),(353,1)}
        42:{3,4,7}:{(25,1),(63,1),(65,1),(355,1)}
        43:{1,5,6,7}:{(26,1),(61,1),(67,1),(280,1),(364,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(69,1),(190,1)}
        45:{1,3,5,7}:{(27,1),(29,1),(63,1),(69,1),(70,1),(71,1)}
        46:{1,4,5}:{(28,1),(64,1),(71,1),(193,1),(346,1)}
        47:{1,3,4,6}:{(28,1),(29,1),(31,1),(65,1),(69,1),(71,1),(72,1),(74,1)}
        48:{2,4,7}:{(29,1),(32,1),(70,1),(72,1),(73,1)}
        49:{1,3,5}:{(30,1),(31,1),(74,1),(75,1),(291,1),(304,1)}
        50:{2,3,6}:{(31,1),(32,1),(72,1),(75,1),(76,1),(297,1)}
        51:{1,3,7}:{(32,1),(73,1),(76,1),(77,1)}
        52:{1,5,6}:{(33,1),(39,1),(79,1)}
        53:{1,4,5,7}:{(33,1),(35,1),(40,1),(79,1),(80,1),(81,1),(101,1)}
        54:{1,4,6}:{(34,1),(35,1),(41,1),(81,1),(264,1)}
        55:{1,3,4,7}:{(35,1),(37,1),(42,1),(80,1),(82,1),(83,1)}
        56:{1,2,4,5}:{(36,1),(81,1),(84,1),(152,1),(155,1),(182,1),(235,1),(252,1),(264,1),(313,1),(316,1)}
        57:{1,3,6}:{(36,1),(37,1),(84,1),(85,1),(325,1)}
        58:{2,3,7}:{(37,1),(83,1),(85,1),(86,1),(369,1)}
        59:{3,5,6}:{(38,1),(39,1),(88,1),(92,1)}
        60:{4,5,7}:{(38,1),(88,1),(379,1),(381,1)}
        61:{2,5,6,7}:{(39,1),(43,1),(78,1),(87,1),(90,1),(240,1),(318,1),(384,1)}
        62:{2,4,6}:{(39,1),(40,1),(44,1),(79,1),(88,1),(92,1),(100,1),(149,1)}
        63:{3,5,7}:{(40,1),(42,1),(92,1),(94,1)}
        64:{2,4,5}:{(41,1),(46,1),(81,1),(94,1),(103,1),(152,1),(327,1),(381,1)}
        65:{3,4,6}:{(41,1),(42,1),(92,1),(94,1),(325,1),(328,1)}
        66:{2,3,4,7}:{(42,1),(48,1),(83,1),(93,1),(95,1),(96,1),(172,1),(245,1),(251,1),(254,1),(305,1),(382,1),(387,1),(410,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(90,1),(97,1),(98,1),(229,1),(389,1)}
        68:{1,4,5,6}:{(44,1),(46,1),(91,1),(97,1),(99,1),(231,1),(242,1),(248,1),(336,1),(389,1)}
        69:{1,3,6}:{(44,1),(45,1),(92,1),(100,1)}
        70:{2,5,7}:{(45,1),(48,1),(100,1),(101,1),(103,1)}
        71:{1,3,5}:{(46,1),(47,1),(94,1),(103,1)}
        72:{2,4,6}:{(47,1),(48,1),(50,1),(100,1),(103,1),(104,1),(106,1)}
        73:{1,4,7}:{(48,1),(51,1),(101,1),(104,1)}
        74:{1,3,4}:{(49,1),(106,1),(315,1),(328,1)}
        75:{2,3,5}:{(49,1),(50,1),(103,1),(106,1),(107,1),(262,1),(266,1)}
        76:{1,3,6}:{(50,1),(51,1),(104,1),(107,1),(108,1)}
        77:{1,2,7}:{(51,1),(108,1),(329,1)}
        78:{1,5,6,7}:{(52,1),(61,1),(109,1),(280,1),(396,1)}
        79:{1,4,6}:{(52,1),(53,1),(62,1),(111,1),(137,1)}
        80:{1,3,5,7}:{(53,1),(55,1),(63,1),(111,1),(112,1),(113,1)}
        81:{1,4,5}:{(54,1),(64,1),(113,1),(140,1),(300,1)}
        82:{1,3,4,6}:{(54,1),(55,1),(57,1),(65,1),(111,1),(113,1),(114,1),(116,1)}
        83:{2,4,7}:{(55,1),(58,1),(112,1),(114,1),(115,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(117,1),(291,1),(350,1)}
        85:{2,3,6}:{(57,1),(58,1),(114,1),(117,1),(118,1),(343,1)}
        86:{1,3,7}:{(58,1),(115,1),(118,1),(119,1)}
        87:{3,5,6,7}:{(59,1),(61,1),(120,1),(125,1),(199,1),(351,1),(402,1)}
        88:{4,6}:{(59,1),(60,1)}
        89:{3,4,5,7}:{(60,1),(63,1),(122,1),(123,1),(129,1),(199,1),(204,1),(284,1),(354,1),(401,1),(403,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(67,1),(109,1),(120,1),(124,1),(125,1),(134,1),(187,1),(404,1)}
        91:{2,4,5,6}:{(62,1),(64,1),(68,1),(110,1),(121,1),(124,1),(126,1),(136,1),(189,1),(201,1),(207,1),(282,1),(288,1),(353,1),(359,1),(404,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{2,3,5,7}:{(63,1),(66,1),(70,1),(112,1),(123,1),(127,1),(128,1),(130,1),(403,1),(406,1),(420,1)}
        94:{3,5}:{(64,1),(65,1)}
        95:{2,3,4,6}:{(65,1),(66,1),(72,1),(114,1),(127,1),(130,1),(131,1),(143,1),(196,1),(207,1),(213,1),(217,1),(270,1),(290,1),(292,1),(358,1),(366,1),(398,1)}
        96:{1,3,4,7}:{(66,1),(73,1),(115,1),(128,1),(131,1),(132,1),(142,1),(195,1),(221,1),(274,1),(284,1),(285,1),(293,1),(339,1),(355,1),(405,1),(419,1)}
        97:{1,4,5,7}:{(67,1),(68,1),(124,1),(133,1),(268,1),(280,1),(285,1)}
        98:{1,3,6,7}:{(67,1),(69,1),(125,1),(133,1),(134,1),(407,1)}
        99:{1,3,5,6}:{(68,1),(69,1),(71,1),(126,1),(133,1),(135,1),(136,1),(367,1),(407,1)}
       100:{2,6}:{(69,1),(70,1),(137,1)}
       101:{1,5,7}:{(70,1),(73,1),(137,1),(140,1)}
       102:{1,3,4,5}:{(71,1),(74,1),(129,1),(135,1),(139,1),(211,1),(222,1),(291,1),(303,1),(367,1)}
       103:{2,5}:{(71,1),(72,1),(140,1)}
       104:{1,4,6}:{(72,1),(73,1),(76,1),(137,1),(140,1),(144,1)}
       105:{1,2,4,7}:{(73,1),(77,1),(132,1),(138,1),(141,1),(142,1),(221,1),(392,1),(419,1)}
       106:{2,4}:{(74,1),(75,1),(144,1)}
       107:{1,3,5}:{(75,1),(76,1),(140,1),(144,1),(145,1),(226,1)}
       108:{1,2,6}:{(76,1),(77,1),(145,1),(297,1)}
       109:{1,4,6,7}:{(78,1),(79,1),(90,1),(146,1),(147,1),(175,1),(412,1)}
       110:{1,4,5,6}:{(79,1),(81,1),(91,1),(146,1),(148,1),(177,1),(242,1),(248,1),(376,1),(412,1)}
       111:{1,3,6}:{(79,1),(80,1),(92,1),(149,1)}
       112:{2,5,7}:{(80,1),(83,1),(149,1),(150,1),(152,1)}
       113:{1,3,5}:{(81,1),(82,1),(94,1),(152,1)}
       114:{2,4,6}:{(82,1),(83,1),(85,1),(149,1),(152,1),(153,1),(155,1)}
       115:{1,4,7}:{(83,1),(86,1),(150,1),(153,1)}
       116:{1,3,4}:{(84,1),(155,1),(264,1),(328,1)}
       117:{2,3,5}:{(84,1),(85,1),(152,1),(155,1),(156,1),(313,1),(317,1)}
       118:{1,3,6}:{(85,1),(86,1),(153,1),(156,1),(157,1)}
       119:{1,2,7}:{(86,1),(157,1),(369,1)}
       120:{4,6,7}:{(87,1),(88,1),(158,1),(379,1),(415,1)}
       121:{4,5,6}:{(88,1),(158,1),(160,1),(381,1),(415,1)}
       122:{3,4,6}:{(88,1),(89,1),(92,1),(160,1),(161,1),(415,1),(416,1)}
       123:{2,4,5,7}:{(89,1),(93,1),(161,1),(162,1),(169,1),(240,1),(245,1),(251,1),(327,1)}
       124:{2,4,5,7}:{(90,1),(91,1),(97,1),(146,1),(158,1),(163,1),(174,1),(228,1),(240,1),(245,1),(318,1),(322,1),(379,1)}
       125:{3,6,7}:{(90,1),(92,1),(163,1),(416,1)}
       126:{3,5,6}:{(91,1),(92,1),(94,1),(163,1),(165,1),(325,1),(385,1),(416,1)}
       127:{2,3,6}:{(92,1),(93,1),(100,1),(149,1),(161,1),(167,1),(416,1),(418,1),(425,1)}
       128:{1,3,5,7}:{(93,1),(96,1),(101,1),(150,1),(162,1),(167,1),(168,1),(170,1),(244,1),(417,1),(424,1)}
       129:{3,4,5}:{(94,1),(165,1),(169,1),(328,1),(381,1),(385,1)}
       130:{2,3,5}:{(94,1),(95,1),(103,1),(152,1),(169,1),(170,1),(327,1),(385,1),(391,1),(414,1)}
       131:{1,3,4,6}:{(95,1),(96,1),(104,1),(153,1),(167,1),(170,1),(171,1),(183,1),(184,1),(237,1),(238,1),(248,1),(258,1),(261,1),(264,1),(309,1),(312,1),(315,1),(321,1),(325,1),(328,1),(390,1),(413,1)}
       132:{2,4,7}:{(96,1),(168,1),(171,1),(172,1),(329,1),(369,1)}
       133:{1,3,5,7}:{(97,1),(98,1),(99,1),(163,1),(173,1),(174,1)}
       134:{2,6,7}:{(98,1),(100,1),(174,1),(175,1),(418,1)}
       135:{1,3,4,6}:{(99,1),(102,1),(165,1),(173,1),(176,1),(248,1),(258,1),(325,1)}
       136:{2,5,6}:{(99,1),(100,1),(103,1),(174,1),(176,1),(177,1),(391,1),(418,1)}
       137:{1,6}:{(100,1),(101,1)}
       138:{1,2,5,7}:{(101,1),(105,1),(168,1),(178,1),(179,1),(182,1),(424,1)}
       139:{2,4,5}:{(102,1),(103,1),(106,1),(176,1),(180,1),(181,1),(262,1),(338,1),(391,1)}
       140:{1,5}:{(103,1),(104,1)}
       141:{1,2,4,6}:{(104,1),(105,1),(108,1),(171,1),(178,1),(182,1),(183,1),(185,1),(261,1),(264,1),(316,1),(373,1),(413,1)}
       142:{1,3,7}:{(105,1),(172,1),(183,1)}
       143:{2,3,4}:{(106,1),(180,1),(184,1),(266,1),(328,1),(338,1)}
       144:{1,4}:{(106,1),(107,1)}
       145:{1,2,5}:{(107,1),(108,1),(185,1),(262,1)}
       146:{1,4,5,7}:{(109,1),(110,1),(124,1),(186,1),(215,1),(280,1),(285,1)}
       147:{1,3,6,7}:{(109,1),(111,1),(125,1),(186,1),(187,1),(421,1)}
       148:{1,3,5,6}:{(110,1),(111,1),(113,1),(126,1),(186,1),(188,1),(189,1),(399,1),(421,1)}
       149:{2,6}:{(111,1),(112,1),(190,1)}
       150:{1,5,7}:{(112,1),(115,1),(190,1),(193,1)}
       151:{1,3,4,5}:{(113,1),(116,1),(129,1),(188,1),(192,1),(211,1),(275,1),(291,1),(349,1),(399,1)}
       152:{2,5}:{(113,1),(114,1),(193,1)}
       153:{1,4,6}:{(114,1),(115,1),(118,1),(190,1),(193,1),(197,1)}
       154:{1,2,4,7}:{(115,1),(119,1),(132,1),(191,1),(194,1),(195,1),(274,1),(360,1),(405,1)}
       155:{2,4}:{(116,1),(117,1),(197,1)}
       156:{1,3,5}:{(117,1),(118,1),(193,1),(197,1),(198,1),(279,1)}
       157:{1,2,6}:{(118,1),(119,1),(198,1),(343,1)}
       158:{4,5,7}:{(120,1),(121,1),(199,1)}
       159:{3,4,6,7}:{(120,1),(122,1),(125,1),(199,1),(200,1),(204,1)}
       160:{3,5,6}:{(121,1),(122,1),(199,1),(201,1),(354,1)}
       161:{2,4,6}:{(122,1),(123,1),(127,1),(201,1),(202,1)}
       162:{1,4,5,7}:{(123,1),(128,1),(202,1),(203,1),(211,1),(221,1),(274,1),(280,1),(285,1),(300,1),(346,1)}
       163:{3,5,7}:{(124,1),(125,1),(126,1),(204,1),(355,1)}
       164:{2,3,6,7}:{(125,1),(127,1),(134,1),(187,1),(200,1),(205,1),(206,1)}
       165:{3,4,6}:{(126,1),(129,1),(204,1),(207,1),(353,1)}
       166:{2,3,5,6}:{(126,1),(127,1),(130,1),(136,1),(189,1),(201,1),(205,1),(207,1),(208,1),(217,1),(270,1)}
       167:{1,3,6}:{(127,1),(128,1),(137,1),(190,1),(202,1),(209,1),(283,1),(423,1),(426,1)}
       168:{2,5,7}:{(128,1),(132,1),(209,1),(212,1)}
       169:{2,4,5}:{(129,1),(130,1),(207,1),(211,1),(292,1)}
       170:{1,3,5}:{(130,1),(131,1),(140,1),(193,1),(211,1),(212,1),(291,1),(300,1),(346,1),(354,1),(408,1),(422,1)}
       171:{2,4,6}:{(131,1),(132,1),(209,1),(212,1),(213,1),(225,1),(278,1),(292,1),(297,1),(343,1)}
       172:{2,3,7}:{(132,1),(142,1),(195,1),(213,1),(355,1)}
       173:{1,3,4,7}:{(133,1),(135,1),(204,1),(214,1),(285,1),(293,1),(355,1)}
       174:{2,5,7}:{(133,1),(134,1),(136,1),(214,1),(215,1)}
       175:{1,6,7}:{(134,1),(137,1),(215,1),(423,1)}
       176:{2,4,6}:{(135,1),(136,1),(139,1),(214,1),(217,1),(218,1),(297,1)}
       177:{1,5,6}:{(136,1),(137,1),(140,1),(215,1),(218,1),(408,1),(423,1)}
       178:{1,2,6}:{(137,1),(138,1),(209,1),(220,1),(426,1)}
       179:{1,3,5,7}:{(138,1),(142,1),(210,1),(220,1),(221,1),(224,1),(300,1)}
       180:{2,3,5}:{(139,1),(143,1),(217,1),(222,1),(291,1)}
       181:{1,4,5}:{(139,1),(140,1),(144,1),(218,1),(222,1),(368,1),(408,1)}
       182:{1,2,5}:{(140,1),(141,1),(212,1),(224,1),(300,1),(422,1)}
       183:{1,3,6}:{(141,1),(142,1),(213,1),(224,1),(226,1),(350,1)}
       184:{1,3,4}:{(143,1),(144,1),(222,1),(225,1),(226,1),(304,1),(368,1)}
       185:{1,2,4}:{(144,1),(145,1),(225,1),(226,1)}
       186:{1,3,5,7}:{(146,1),(147,1),(148,1),(163,1),(227,1),(228,1)}
       187:{2,6,7}:{(147,1),(149,1),(228,1),(229,1),(425,1)}
       188:{1,3,4,6}:{(148,1),(151,1),(165,1),(227,1),(230,1),(248,1),(309,1),(325,1)}
       189:{2,5,6}:{(148,1),(149,1),(152,1),(228,1),(230,1),(231,1),(414,1),(425,1)}
       190:{1,6}:{(149,1),(150,1)}
       191:{1,2,5,7}:{(150,1),(154,1),(168,1),(232,1),(233,1),(236,1),(417,1)}
       192:{2,4,5}:{(151,1),(152,1),(155,1),(230,1),(234,1),(235,1),(313,1),(378,1),(414,1)}
       193:{1,5}:{(152,1),(153,1)}
       194:{1,2,4,6}:{(153,1),(154,1),(157,1),(171,1),(232,1),(236,1),(237,1),(239,1),(265,1),(312,1),(315,1),(333,1),(390,1)}
       195:{1,3,7}:{(154,1),(172,1),(237,1)}
       196:{2,3,4}:{(155,1),(234,1),(238,1),(317,1),(328,1),(378,1)}
       197:{1,4}:{(155,1),(156,1)}
       198:{1,2,5}:{(156,1),(157,1),(239,1),(313,1)}
       199:{3,5,7}:{(158,1),(159,1),(160,1),(240,1)}
       200:{2,4,6,7}:{(159,1),(161,1),(164,1),(240,1),(241,1),(245,1)}
       201:{2,5,6}:{(160,1),(161,1),(240,1),(242,1),(327,1)}
       202:{1,4,6}:{(161,1),(162,1),(167,1),(242,1),(243,1)}
       203:{2,4,5,7}:{(162,1),(168,1),(243,1),(244,1),(251,1),(252,1),(318,1),(322,1),(327,1),(379,1),(381,1)}
       204:{3,4,7}:{(163,1),(165,1),(245,1),(379,1)}
       205:{2,3,5,7}:{(163,1),(164,1),(166,1),(174,1),(228,1),(240,1),(245,1),(246,1),(254,1),(305,1)}
       206:{1,3,6,7}:{(164,1),(167,1),(175,1),(229,1),(241,1),(246,1),(247,1),(319,1)}
       207:{2,4,6}:{(165,1),(166,1),(169,1),(245,1),(248,1)}
       208:{1,3,5,6}:{(166,1),(167,1),(170,1),(177,1),(231,1),(242,1),(246,1),(248,1),(249,1),(258,1),(309,1),(320,1),(325,1)}
       209:{2,6}:{(167,1),(168,1)}
       210:{2,3,5,7}:{(168,1),(172,1),(179,1),(233,1),(244,1),(250,1),(251,1),(253,1),(327,1)}
       211:{1,4,5}:{(169,1),(170,1),(248,1),(252,1),(264,1),(315,1),(381,1)}
       212:{2,5}:{(170,1),(171,1)}
       213:{2,3,6}:{(171,1),(172,1),(183,1),(237,1),(253,1),(266,1),(317,1),(325,1)}
       214:{2,4,7}:{(173,1),(174,1),(176,1),(254,1),(255,1),(329,1)}
       215:{1,5,7}:{(174,1),(175,1),(177,1),(255,1)}
       216:{1,2,6,7}:{(175,1),(178,1),(247,1),(256,1),(257,1),(418,1)}
       217:{2,3,6}:{(176,1),(180,1),(254,1),(258,1),(325,1)}
       218:{1,4,6}:{(176,1),(177,1),(181,1),(255,1),(258,1)}
       219:{1,2,5,6}:{(177,1),(178,1),(182,1),(249,1),(256,1),(259,1),(260,1),(373,1),(391,1),(418,1)}
       220:{1,3,6}:{(178,1),(179,1),(250,1),(261,1)}
       221:{1,4,7}:{(179,1),(251,1),(261,1),(264,1)}
       222:{1,3,5}:{(180,1),(181,1),(184,1),(258,1),(262,1)}
       223:{1,2,4,5}:{(181,1),(182,1),(185,1),(252,1),(259,1),(262,1),(263,1),(264,1),(336,1),(338,1),(391,1)}
       224:{1,3,5}:{(182,1),(183,1),(253,1),(264,1)}
       225:{2,4}:{(184,1),(262,1),(266,1)}
       226:{1,3}:{(185,1),(266,1)}
       227:{1,3,4,7}:{(186,1),(188,1),(204,1),(267,1),(285,1),(339,1),(355,1)}
       228:{2,5,7}:{(186,1),(187,1),(189,1),(267,1),(268,1)}
       229:{1,6,7}:{(187,1),(190,1),(268,1),(426,1)}
       230:{2,4,6}:{(188,1),(189,1),(192,1),(267,1),(270,1),(271,1),(343,1)}
       231:{1,5,6}:{(189,1),(190,1),(193,1),(268,1),(271,1),(422,1),(426,1)}
       232:{1,2,6}:{(190,1),(191,1),(209,1),(273,1),(423,1)}
       233:{1,3,5,7}:{(191,1),(195,1),(210,1),(273,1),(274,1),(277,1),(346,1)}
       234:{2,3,5}:{(192,1),(196,1),(270,1),(275,1),(291,1)}
       235:{1,4,5}:{(192,1),(193,1),(197,1),(271,1),(275,1),(400,1),(422,1)}
       236:{1,2,5}:{(193,1),(194,1),(212,1),(277,1),(346,1),(408,1)}
       237:{1,3,6}:{(194,1),(195,1),(213,1),(277,1),(279,1),(304,1)}
       238:{1,3,4}:{(196,1),(197,1),(275,1),(278,1),(279,1),(350,1),(400,1)}
       239:{1,2,4}:{(197,1),(198,1),(278,1),(279,1)}
       240:{2,5,7}:{(199,1),(200,1),(201,1),(280,1)}
       241:{1,4,6,7}:{(200,1),(202,1),(206,1),(280,1),(281,1),(285,1)}
       242:{1,5,6}:{(201,1),(202,1),(280,1),(282,1),(300,1),(346,1)}
       243:{2,4,6}:{(202,1),(203,1),(209,1),(282,1),(283,1),(353,1)}
       244:{3,5,7}:{(203,1),(283,1),(284,1),(291,1),(354,1),(355,1)}
       245:{2,4,7}:{(204,1),(205,1),(207,1),(285,1)}
       246:{1,3,5,7}:{(205,1),(206,1),(208,1),(215,1),(268,1),(280,1),(285,1),(286,1),(293,1),(339,1),(351,1),(355,1)}
       247:{2,6,7}:{(206,1),(209,1),(286,1)}
       248:{1,4,6}:{(207,1),(208,1),(211,1),(285,1),(288,1),(353,1)}
       249:{2,5,6}:{(208,1),(209,1),(212,1),(286,1),(288,1),(297,1),(343,1)}
       250:{2,3,6}:{(209,1),(210,1),(220,1),(273,1),(283,1),(290,1)}
       251:{2,4,7}:{(210,1),(221,1),(274,1),(284,1),(290,1),(292,1)}
       252:{2,4,5}:{(211,1),(212,1),(288,1),(291,1),(292,1)}
       253:{2,3,5}:{(212,1),(213,1),(224,1),(277,1),(291,1),(292,1)}
       254:{2,3,7}:{(214,1),(217,1),(293,1),(355,1)}
       255:{1,4,7}:{(214,1),(215,1),(218,1),(293,1)}
       256:{1,2,5,7}:{(215,1),(216,1),(219,1),(286,1),(294,1),(295,1),(392,1),(406,1)}
       257:{1,3,6,7}:{(216,1),(220,1),(287,1),(295,1),(296,1),(407,1),(426,1)}
       258:{1,3,6}:{(217,1),(218,1),(222,1),(293,1),(297,1)}
       259:{1,2,4,6}:{(218,1),(219,1),(223,1),(288,1),(294,1),(297,1),(298,1),(299,1),(366,1)}
       260:{1,3,5,6}:{(219,1),(220,1),(224,1),(289,1),(295,1),(298,1),(299,1),(300,1),(364,1),(367,1),(397,1),(407,1),(422,1),(426,1)}
       261:{1,4,6}:{(220,1),(221,1),(290,1),(300,1)}
       262:{2,5}:{(222,1),(225,1),(297,1)}
       263:{1,3,5}:{(223,1),(226,1),(291,1),(298,1),(302,1),(303,1)}
       264:{1,4}:{(224,1),(292,1)}
       265:{1,2,4}:{(225,1),(301,1),(304,1),(368,1)}
       266:{2,3}:{(225,1),(226,1),(304,1)}
       267:{2,4,7}:{(227,1),(228,1),(230,1),(305,1),(306,1),(369,1)}
       268:{1,5,7}:{(228,1),(229,1),(231,1),(306,1)}
       269:{1,2,6,7}:{(229,1),(232,1),(247,1),(307,1),(308,1),(425,1)}
       270:{2,3,6}:{(230,1),(234,1),(305,1),(309,1),(325,1)}
       271:{1,4,6}:{(230,1),(231,1),(235,1),(306,1),(309,1)}
       272:{1,2,5,6}:{(231,1),(232,1),(236,1),(249,1),(307,1),(310,1),(311,1),(333,1),(414,1),(425,1)}
       273:{1,3,6}:{(232,1),(233,1),(250,1),(312,1)}
       274:{1,4,7}:{(233,1),(251,1),(312,1),(315,1)}
       275:{1,3,5}:{(234,1),(235,1),(238,1),(309,1),(313,1)}
       276:{1,2,4,5}:{(235,1),(236,1),(239,1),(252,1),(310,1),(313,1),(314,1),(315,1),(376,1),(378,1),(414,1)}
       277:{1,3,5}:{(236,1),(237,1),(253,1),(315,1)}
       278:{2,4}:{(238,1),(313,1),(317,1)}
       279:{1,3}:{(239,1),(317,1)}
       280:{1,5,7}:{(240,1),(241,1),(242,1),(318,1)}
       281:{2,4,6,7}:{(241,1),(243,1),(247,1),(318,1),(319,1),(322,1),(379,1)}
       282:{2,5,6}:{(242,1),(243,1),(318,1),(320,1),(327,1)}
       283:{3,6}:{(243,1),(244,1)}
       284:{3,4,7}:{(244,1),(251,1),(321,1),(328,1),(379,1)}
       285:{1,4,7}:{(245,1),(246,1),(248,1),(322,1),(379,1)}
       286:{2,5,7}:{(246,1),(247,1),(249,1),(322,1),(329,1),(369,1)}
       287:{2,3,6,7}:{(247,1),(250,1),(257,1),(308,1),(319,1),(323,1),(324,1),(416,1),(418,1),(425,1)}
       288:{2,4,6}:{(248,1),(249,1),(252,1),(322,1),(325,1)}
       289:{2,3,5,6}:{(249,1),(250,1),(253,1),(260,1),(311,1),(320,1),(323,1),(325,1),(326,1),(327,1),(334,1),(374,1),(384,1),(385,1),(391,1),(414,1),(416,1),(418,1),(425,1)}
       290:{2,4,6}:{(250,1),(251,1),(261,1),(312,1),(321,1),(327,1)}
       291:{3,5}:{(252,1),(325,1),(328,1)}
       292:{2,4}:{(253,1),(264,1),(315,1),(328,1)}
       293:{1,3,7}:{(254,1),(255,1),(258,1),(329,1)}
       294:{1,2,4,7}:{(255,1),(256,1),(259,1),(322,1),(329,1),(330,1),(331,1),(387,1)}
       295:{1,3,5,7}:{(256,1),(257,1),(260,1),(323,1),(330,1),(331,1),(332,1),(409,1),(424,1)}
       296:{1,4,6,7}:{(257,1),(261,1),(324,1),(331,1),(332,1),(389,1)}
       297:{2,6}:{(258,1),(262,1),(329,1)}
       298:{1,3,6}:{(259,1),(263,1),(325,1),(330,1),(334,1)}
       299:{1,4,6}:{(260,1),(264,1),(326,1),(331,1),(336,1)}
       300:{1,5}:{(261,1),(327,1)}
       301:{1,2,5}:{(262,1),(265,1),(333,1),(337,1)}
       302:{2,3,5}:{(262,1),(263,1),(266,1),(334,1),(337,1),(338,1),(391,1)}
       303:{1,3,4}:{(263,1),(264,1),(328,1),(338,1)}
       304:{1,3}:{(265,1),(266,1)}
       305:{2,3,7}:{(267,1),(270,1),(339,1),(355,1)}
       306:{1,4,7}:{(267,1),(268,1),(271,1),(339,1)}
       307:{1,2,5,7}:{(268,1),(269,1),(272,1),(286,1),(340,1),(341,1),(360,1),(420,1)}
       308:{1,3,6,7}:{(269,1),(273,1),(287,1),(341,1),(342,1),(421,1),(423,1)}
       309:{1,3,6}:{(270,1),(271,1),(275,1),(339,1),(343,1)}
       310:{1,2,4,6}:{(271,1),(272,1),(276,1),(288,1),(340,1),(343,1),(344,1),(345,1),(398,1)}
       311:{1,3,5,6}:{(272,1),(273,1),(277,1),(289,1),(341,1),(344,1),(345,1),(346,1),(365,1),(396,1),(399,1),(408,1),(421,1),(423,1)}
       312:{1,4,6}:{(273,1),(274,1),(290,1),(346,1)}
       313:{2,5}:{(275,1),(278,1),(343,1)}
       314:{1,3,5}:{(276,1),(279,1),(291,1),(344,1),(348,1),(349,1)}
       315:{1,4}:{(277,1),(292,1)}
       316:{1,2,4}:{(278,1),(347,1),(350,1),(400,1)}
       317:{2,3}:{(278,1),(279,1),(350,1)}
       318:{2,5,7}:{(280,1),(281,1),(282,1),(351,1)}
       319:{3,6,7}:{(281,1),(283,1),(351,1),(355,1)}
       320:{3,5,6}:{(282,1),(283,1),(351,1),(353,1),(354,1)}
       321:{3,4,6}:{(283,1),(284,1),(290,1),(353,1),(354,1)}
       322:{2,4,7}:{(285,1),(286,1),(288,1),(355,1)}
       323:{2,3,5,7}:{(286,1),(287,1),(289,1),(295,1),(341,1),(351,1),(355,1),(356,1),(357,1),(361,1),(393,1),(403,1),(406,1),(420,1)}
       324:{2,4,6,7}:{(287,1),(290,1),(296,1),(342,1),(352,1),(356,1),(357,1),(404,1)}
       325:{3,6}:{(288,1),(291,1),(355,1)}
       326:{2,4,6}:{(289,1),(292,1),(299,1),(345,1),(353,1),(356,1),(358,1),(359,1)}
       327:{2,5}:{(290,1),(300,1),(346,1),(354,1)}
       328:{3,4}:{(291,1),(292,1)}
       329:{2,7}:{(293,1),(297,1)}
       330:{1,3,7}:{(294,1),(298,1),(355,1),(361,1)}
       331:{1,4,7}:{(295,1),(299,1),(356,1)}
       332:{1,5,7}:{(296,1),(300,1),(357,1),(364,1)}
       333:{1,2,6}:{(297,1),(301,1),(360,1),(365,1)}
       334:{2,3,6}:{(297,1),(298,1),(302,1),(361,1),(365,1),(366,1)}
       335:{1,3,4,6}:{(298,1),(299,1),(303,1),(358,1),(362,1),(366,1),(367,1),(407,1)}
       336:{1,4,5}:{(299,1),(300,1),(359,1),(367,1),(422,1)}
       337:{1,3,5}:{(301,1),(302,1),(304,1),(365,1),(368,1),(408,1)}
       338:{2,4}:{(302,1),(303,1),(368,1)}
       339:{1,3,7}:{(305,1),(306,1),(309,1),(369,1)}
       340:{1,2,4,7}:{(306,1),(307,1),(310,1),(322,1),(369,1),(370,1),(371,1),(410,1)}
       341:{1,3,5,7}:{(307,1),(308,1),(311,1),(323,1),(370,1),(371,1),(372,1),(386,1),(417,1)}
       342:{1,4,6,7}:{(308,1),(312,1),(324,1),(371,1),(372,1),(412,1)}
       343:{2,6}:{(309,1),(313,1),(369,1)}
       344:{1,3,6}:{(310,1),(314,1),(325,1),(370,1),(374,1)}
       345:{1,4,6}:{(311,1),(315,1),(326,1),(371,1),(376,1)}
       346:{1,5}:{(312,1),(327,1)}
       347:{1,2,5}:{(313,1),(316,1),(373,1),(377,1)}
       348:{2,3,5}:{(313,1),(314,1),(317,1),(374,1),(377,1),(378,1),(414,1)}
       349:{1,3,4}:{(314,1),(315,1),(328,1),(378,1)}
       350:{1,3}:{(316,1),(317,1)}
       351:{3,5,7}:{(318,1),(319,1),(320,1),(379,1)}
       352:{3,4,6,7}:{(319,1),(321,1),(324,1),(379,1),(380,1),(382,1),(415,1),(416,1)}
       353:{4,6}:{(320,1),(379,1),(381,1)}
       354:{3,5}:{(321,1),(327,1),(381,1)}
       355:{3,7}:{(322,1),(325,1)}
       356:{2,4,7}:{(323,1),(326,1),(331,1),(371,1),(379,1),(382,1)}
       357:{2,5,7}:{(324,1),(327,1),(332,1),(372,1),(380,1),(384,1)}
       358:{3,4,6}:{(325,1),(326,1),(328,1),(382,1),(385,1),(416,1)}
       359:{2,4,5}:{(326,1),(327,1),(336,1),(376,1),(381,1),(385,1),(391,1),(414,1)}
       360:{1,2,7}:{(329,1),(333,1),(386,1)}
       361:{2,3,7}:{(329,1),(330,1),(334,1),(386,1),(387,1)}
       362:{1,3,4,7}:{(330,1),(331,1),(335,1),(382,1),(387,1),(388,1)}
       363:{1,4,5,7}:{(331,1),(332,1),(336,1),(383,1),(388,1),(389,1),(424,1)}
       364:{1,5,6}:{(332,1),(384,1),(389,1)}
       365:{1,3,6}:{(333,1),(334,1),(337,1),(386,1),(390,1)}
       366:{2,4,6}:{(334,1),(335,1),(338,1),(387,1),(390,1),(391,1),(418,1)}
       367:{1,3,5}:{(335,1),(336,1),(385,1),(391,1)}
       368:{1,4}:{(337,1),(338,1)}
       369:{2,7}:{(339,1),(343,1)}
       370:{1,3,7}:{(340,1),(344,1),(355,1),(393,1)}
       371:{1,4,7}:{(341,1),(345,1),(356,1)}
       372:{1,5,7}:{(342,1),(346,1),(357,1),(396,1)}
       373:{1,2,6}:{(343,1),(347,1),(392,1),(397,1)}
       374:{2,3,6}:{(343,1),(344,1),(348,1),(393,1),(397,1),(398,1)}
       375:{1,3,4,6}:{(344,1),(345,1),(349,1),(358,1),(394,1),(398,1),(399,1),(421,1)}
       376:{1,4,5}:{(345,1),(346,1),(359,1),(399,1),(408,1)}
       377:{1,3,5}:{(347,1),(348,1),(350,1),(397,1),(400,1),(422,1)}
       378:{2,4}:{(348,1),(349,1),(400,1)}
       379:{4,7}:{(351,1),(353,1)}
       380:{3,5,7}:{(352,1),(354,1),(357,1),(401,1),(402,1)}
       381:{4,5}:{(353,1),(354,1)}
       382:{3,4,7}:{(355,1),(356,1),(358,1),(403,1)}
       383:{2,4,5,7}:{(356,1),(357,1),(359,1),(363,1),(395,1),(401,1),(403,1),(404,1),(406,1),(420,1)}
       384:{2,5,6}:{(357,1),(364,1),(396,1),(402,1),(404,1)}
       385:{3,5}:{(358,1),(359,1)}
       386:{1,3,7}:{(360,1),(361,1),(365,1),(405,1)}
       387:{2,4,7}:{(361,1),(362,1),(366,1),(405,1),(406,1)}
       388:{1,3,5,7}:{(362,1),(363,1),(367,1),(403,1),(406,1),(407,1)}
       389:{1,4,6}:{(363,1),(364,1),(404,1),(407,1),(426,1)}
       390:{1,4,6}:{(365,1),(366,1),(368,1),(405,1),(408,1),(423,1)}
       391:{2,5}:{(366,1),(367,1),(408,1)}
       392:{1,2,7}:{(369,1),(373,1),(409,1)}
       393:{2,3,7}:{(369,1),(370,1),(374,1),(409,1),(410,1)}
       394:{1,3,4,7}:{(370,1),(371,1),(375,1),(382,1),(410,1),(411,1)}
       395:{1,4,5,7}:{(371,1),(372,1),(376,1),(383,1),(411,1),(412,1),(417,1)}
       396:{1,5,6}:{(372,1),(384,1),(412,1)}
       397:{1,3,6}:{(373,1),(374,1),(377,1),(409,1),(413,1)}
       398:{2,4,6}:{(374,1),(375,1),(378,1),(410,1),(413,1),(414,1),(425,1)}
       399:{1,3,5}:{(375,1),(376,1),(385,1),(414,1)}
       400:{1,4}:{(377,1),(378,1)}
       401:{4,5,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{3,5,6}:{(380,1),(384,1),(415,1),(416,1)}
       403:{3,5,7}:{(382,1),(383,1),(385,1),(416,1)}
       404:{2,4,6}:{(383,1),(384,1),(389,1),(412,1),(415,1),(416,1),(418,1),(425,1)}
       405:{1,4,7}:{(386,1),(387,1),(390,1),(417,1)}
       406:{2,5,7}:{(387,1),(388,1),(391,1),(417,1),(418,1)}
       407:{1,3,6}:{(388,1),(389,1),(416,1),(418,1)}
       408:{1,5}:{(390,1),(391,1)}
       409:{1,3,7}:{(392,1),(393,1),(397,1),(419,1)}
       410:{2,4,7}:{(393,1),(394,1),(398,1),(419,1),(420,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(399,1),(403,1),(420,1),(421,1)}
       412:{1,4,6}:{(395,1),(396,1),(404,1),(421,1),(423,1)}
       413:{1,4,6}:{(397,1),(398,1),(400,1),(419,1),(422,1),(426,1)}
       414:{2,5}:{(398,1),(399,1),(422,1)}
       415:{4,6}:{(401,1),(402,1)}
       416:{3,6}:{(403,1),(404,1)}
       417:{1,5,7}:{(405,1),(406,1),(408,1),(423,1)}
       418:{2,6}:{(406,1),(407,1),(423,1)}
       419:{1,4,7}:{(409,1),(410,1),(413,1),(424,1)}
       420:{2,5,7}:{(410,1),(411,1),(414,1),(424,1),(425,1)}
       421:{1,3,6}:{(411,1),(412,1),(416,1),(425,1)}
       422:{1,5}:{(413,1),(414,1)}
       423:{1,6}:{(417,1),(418,1)}
       424:{1,5,7}:{(419,1),(420,1),(422,1),(426,1)}
       425:{2,6}:{(420,1),(421,1),(426,1)}
       426:{1,6}:{(424,1),(425,1)}

 303 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 304 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 305 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(14,1),(19,1),(165,1)}
         1:{1,3,7}:{(0,1),(5,1),(8,1),(171,1),(173,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(28,1),(112,1),(152,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(36,1),(37,1)}
         4:{1,2,7}:{(11,1),(13,1),(161,1),(187,1)}
         5:{2,3,7}:{(1,1),(11,1),(14,1),(16,1),(141,1),(161,1),(179,1)}
         6:{1,3,4,7}:{(1,1),(14,1),(17,1),(18,1),(19,1),(49,1),(100,1),(141,1),(166,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(15,1),(19,1),(20,1),(21,1),(56,1),(88,1),(123,1),(136,1)}
         8:{1,3,6}:{(1,1),(3,1),(16,1),(21,1),(162,1)}
         9:{1,2,6}:{(2,1),(20,1),(47,1)}
        10:{1,2,5}:{(3,1),(21,1),(48,1),(56,1),(138,1)}
        11:{1,3,7}:{(4,1),(5,1),(22,1),(24,1),(184,1)}
        12:{1,2,5,7}:{(4,1),(23,1),(25,1),(26,1),(27,1),(65,1),(101,1)}
        13:{1,2,6}:{(4,1),(24,1),(27,1),(148,1)}
        14:{2,4,7}:{(5,1),(6,1),(22,1),(28,1),(29,1),(174,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(31,1),(32,1),(63,1),(67,1),(73,1),(101,1),(114,1)}
        16:{2,3,6}:{(5,1),(8,1),(24,1),(29,1),(32,1),(121,1),(148,1)}
        17:{1,3,5,7}:{(6,1),(28,1),(33,1),(34,1),(35,1),(67,1),(172,1),(181,1)}
        18:{1,3,4,6}:{(6,1),(8,1),(29,1),(34,1),(35,1),(36,1),(37,1),(72,1),(74,1),(78,1),(121,1)}
        19:{1,4,7}:{(7,1),(30,1),(36,1),(37,1),(153,1)}
        20:{1,3,6}:{(7,1),(9,1),(31,1),(36,1),(142,1)}
        21:{1,3,5}:{(8,1),(10,1),(32,1),(37,1),(116,1),(149,1)}
        22:{1,4,7}:{(11,1),(14,1),(38,1),(39,1),(180,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(15,1),(38,1),(40,1),(41,1),(42,1),(43,1),(86,1),(90,1)}
        24:{1,3,6}:{(11,1),(13,1),(16,1),(39,1),(42,1)}
        25:{1,2,4,7}:{(12,1),(40,1),(43,1),(44,1),(45,1),(84,1)}
        26:{1,2,6}:{(12,1),(41,1),(124,1)}
        27:{1,2,5}:{(13,1),(42,1),(45,1),(130,1)}
        28:{2,5,7}:{(14,1),(17,1),(38,1),(47,1),(48,1),(178,1),(185,1)}
        29:{2,4,6}:{(14,1),(16,1),(18,1),(39,1),(47,1),(48,1),(51,1)}
        30:{2,4,7}:{(15,1),(19,1),(40,1),(49,1),(50,1),(51,1),(137,1)}
        31:{2,3,6}:{(15,1),(20,1),(41,1),(47,1),(50,1),(92,1),(124,1)}
        32:{2,3,5}:{(16,1),(21,1),(42,1),(48,1),(51,1),(91,1),(97,1),(130,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(46,1),(52,1),(55,1),(56,1),(99,1),(100,1),(123,1),(163,1),(175,1)}
        34:{1,3,6}:{(17,1),(47,1),(52,1),(92,1)}
        35:{1,3,5}:{(18,1),(48,1),(55,1),(56,1),(97,1),(98,1)}
        36:{1,4,6}:{(19,1),(20,1),(50,1),(56,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,5,7}:{(22,1),(28,1),(58,1),(59,1),(183,1),(188,1)}
        39:{1,4,6}:{(22,1),(24,1),(29,1),(58,1),(59,1),(62,1)}
        40:{1,4,7}:{(23,1),(30,1),(61,1),(62,1),(115,1)}
        41:{1,3,6}:{(23,1),(26,1),(31,1),(58,1),(61,1)}
        42:{1,3,5}:{(24,1),(27,1),(32,1),(59,1),(62,1),(66,1)}
        43:{1,3,7}:{(25,1),(63,1),(64,1),(66,1),(188,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(61,1),(64,1),(65,1),(109,1),(115,1)}
        45:{1,2,4}:{(27,1),(62,1),(66,1),(111,1)}
        46:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(67,1),(68,1),(71,1),(73,1),(101,1),(119,1),(120,1),(122,1),(151,1),(155,1),(169,1)}
        47:{2,6}:{(28,1),(34,1),(58,1)}
        48:{2,5}:{(29,1),(35,1),(59,1)}
        49:{3,4,7}:{(30,1),(67,1),(72,1),(74,1),(154,1),(155,1)}
        50:{2,4,6}:{(30,1),(31,1),(36,1),(61,1),(72,1),(73,1)}
        51:{2,4}:{(32,1),(37,1),(62,1),(74,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(76,1),(142,1)}
        53:{1,3,6,7}:{(34,1),(69,1),(75,1),(77,1),(117,1),(181,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(70,1),(76,1),(77,1),(78,1),(118,1),(121,1)}
        55:{1,4,5}:{(35,1),(37,1),(71,1),(78,1),(122,1),(149,1)}
        56:{1,5}:{(36,1),(73,1)}
        57:{1,4,5,7}:{(38,1),(40,1),(46,1),(79,1),(80,1),(83,1),(86,1),(127,1),(128,1),(133,1),(160,1)}
        58:{1,6}:{(38,1),(47,1)}
        59:{1,5}:{(39,1),(48,1)}
        60:{1,3,4,7}:{(40,1),(43,1),(49,1),(79,1),(84,1),(85,1),(87,1),(160,1),(177,1)}
        61:{1,4,6}:{(40,1),(41,1),(50,1),(86,1)}
        62:{1,4}:{(42,1),(51,1)}
        63:{2,3,7}:{(43,1),(84,1),(88,1),(89,1),(91,1),(177,1),(185,1)}
        64:{1,3,6}:{(43,1),(44,1),(89,1),(90,1),(186,1)}
        65:{1,2,5}:{(44,1),(86,1),(90,1),(132,1),(187,1)}
        66:{1,3}:{(45,1),(91,1)}
        67:{3,5,7}:{(46,1),(49,1),(92,1),(97,1),(98,1),(141,1),(164,1),(177,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(92,1),(94,1),(124,1),(140,1)}
        69:{2,6,7}:{(47,1),(53,1),(81,1),(95,1),(185,1)}
        70:{2,5,6}:{(47,1),(48,1),(54,1),(82,1),(95,1),(96,1)}
        71:{2,4,5}:{(48,1),(51,1),(55,1),(83,1),(96,1),(97,1),(130,1)}
        72:{3,4,6}:{(49,1),(50,1),(92,1),(98,1),(140,1)}
        73:{2,5}:{(50,1),(56,1),(86,1),(98,1)}
        74:{3,4}:{(51,1),(97,1)}
        75:{1,4,6,7}:{(52,1),(53,1),(93,1),(99,1),(100,1),(156,1),(175,1)}
        76:{1,5,6}:{(52,1),(56,1),(94,1),(99,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(95,1),(99,1),(100,1),(139,1),(141,1)}
        78:{1,4,6}:{(54,1),(55,1),(96,1),(100,1),(140,1),(162,1)}
        79:{1,3,5,7}:{(57,1),(60,1),(67,1),(101,1),(102,1),(107,1),(110,1),(147,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(102,1),(104,1)}
        81:{1,6,7}:{(58,1),(69,1),(105,1),(188,1)}
        82:{1,5,6}:{(58,1),(59,1),(70,1),(105,1),(106,1)}
        83:{1,4,5}:{(59,1),(62,1),(71,1),(106,1),(107,1)}
        84:{2,4,7}:{(60,1),(63,1),(101,1),(108,1),(109,1),(111,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(64,1),(72,1),(102,1),(109,1),(110,1),(115,1),(146,1),(154,1),(170,1)}
        86:{1,5}:{(61,1),(73,1)}
        87:{1,3,4}:{(62,1),(66,1),(74,1),(107,1),(111,1)}
        88:{1,3,7}:{(63,1),(108,1),(112,1),(113,1),(116,1)}
        89:{2,3,6}:{(63,1),(64,1),(109,1),(113,1),(114,1),(170,1),(182,1)}
        90:{1,3,5}:{(64,1),(65,1),(114,1),(115,1),(183,1),(184,1)}
        91:{2,3}:{(66,1),(111,1),(116,1)}
        92:{3,6}:{(67,1),(68,1)}
        93:{2,4,6,7}:{(68,1),(69,1),(75,1),(103,1),(117,1),(119,1),(120,1),(143,1),(155,1),(169,1)}
        94:{2,5,6}:{(68,1),(73,1),(76,1),(104,1),(118,1),(119,1)}
        95:{2,5,7}:{(69,1),(70,1),(77,1),(105,1),(120,1)}
        96:{2,4,6}:{(70,1),(71,1),(78,1),(106,1),(120,1),(121,1),(148,1)}
        97:{3,5}:{(71,1),(74,1),(121,1)}
        98:{3,5}:{(72,1),(73,1),(122,1)}
        99:{1,5,7}:{(75,1),(76,1),(119,1)}
       100:{1,4,7}:{(77,1),(78,1),(120,1),(155,1),(171,1)}
       101:{2,5,7}:{(79,1),(84,1),(123,1),(124,1),(130,1),(132,1),(161,1)}
       102:{1,3,6}:{(79,1),(80,1),(92,1),(124,1)}
       103:{1,4,6,7}:{(80,1),(81,1),(93,1),(125,1),(127,1),(128,1),(160,1)}
       104:{1,5,6}:{(80,1),(86,1),(94,1),(127,1)}
       105:{1,5,7}:{(81,1),(82,1),(95,1),(128,1)}
       106:{1,4,6}:{(82,1),(83,1),(96,1),(128,1),(129,1)}
       107:{1,3,5}:{(83,1),(87,1),(97,1),(129,1),(130,1)}
       108:{1,4,7}:{(84,1),(88,1),(123,1),(131,1),(134,1)}
       109:{2,4,6}:{(84,1),(85,1),(89,1),(124,1),(131,1),(132,1),(137,1)}
       110:{1,3,5}:{(85,1),(86,1),(98,1),(132,1),(133,1),(164,1)}
       111:{2,4}:{(87,1),(91,1),(130,1),(134,1)}
       112:{1,2,7}:{(88,1),(135,1),(138,1),(185,1)}
       113:{1,3,6}:{(88,1),(89,1),(131,1),(135,1),(136,1)}
       114:{2,3,5}:{(89,1),(90,1),(132,1),(136,1),(137,1),(164,1),(178,1),(179,1)}
       115:{1,4}:{(90,1),(137,1)}
       116:{1,3}:{(91,1),(134,1),(138,1)}
       117:{3,6,7}:{(92,1),(93,1),(139,1),(141,1),(177,1)}
       118:{3,5,6}:{(92,1),(94,1),(98,1),(139,1),(140,1)}
       119:{2,5,7}:{(93,1),(94,1),(99,1),(127,1),(139,1)}
       120:{2,4,7}:{(95,1),(96,1),(100,1),(128,1),(141,1),(161,1)}
       121:{3,6}:{(96,1),(97,1),(141,1)}
       122:{4,5}:{(98,1),(140,1)}
       123:{1,5,7}:{(101,1),(108,1),(142,1),(149,1),(150,1),(171,1)}
       124:{2,6}:{(101,1),(102,1),(142,1)}
       125:{1,3,6,7}:{(102,1),(103,1),(117,1),(143,1),(145,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(104,1),(110,1),(118,1),(144,1),(145,1),(146,1),(170,1)}
       127:{1,5,7}:{(103,1),(104,1),(119,1)}
       128:{1,4,7}:{(105,1),(106,1),(120,1),(147,1)}
       129:{1,3,6}:{(106,1),(107,1),(121,1),(147,1),(148,1)}
       130:{2,5}:{(107,1),(111,1),(148,1),(149,1)}
       131:{1,4,6}:{(108,1),(109,1),(113,1),(142,1),(150,1),(153,1)}
       132:{2,5}:{(109,1),(110,1),(150,1)}
       133:{1,4,5}:{(110,1),(115,1),(122,1),(146,1),(151,1),(183,1)}
       134:{1,4}:{(111,1),(116,1),(149,1)}
       135:{1,2,6}:{(112,1),(113,1),(152,1),(182,1)}
       136:{1,3,5}:{(113,1),(114,1),(150,1),(152,1),(153,1),(173,1)}
       137:{2,4}:{(114,1),(115,1),(153,1),(154,1)}
       138:{1,2}:{(116,1)}
       139:{3,5,7}:{(117,1),(118,1),(119,1),(155,1)}
       140:{4,6}:{(118,1),(122,1),(155,1)}
       141:{3,7}:{(120,1),(121,1)}
       142:{1,6}:{(123,1),(124,1)}
       143:{2,6,7}:{(124,1),(125,1),(156,1),(158,1),(161,1)}
       144:{2,5,6}:{(124,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(127,1),(139,1),(158,1),(160,1),(177,1)}
       146:{1,4,6}:{(126,1),(133,1),(140,1),(159,1),(160,1),(186,1)}
       147:{1,3,7}:{(128,1),(129,1),(141,1),(161,1)}
       148:{2,6}:{(129,1),(130,1),(161,1),(162,1)}
       149:{1,5}:{(130,1),(134,1),(162,1)}
       150:{1,5}:{(131,1),(132,1)}
       151:{2,4,5}:{(132,1),(133,1),(137,1),(159,1),(163,1),(164,1),(178,1)}
       152:{1,2,5}:{(135,1),(136,1),(165,1),(178,1)}
       153:{1,4}:{(136,1),(137,1)}
       154:{3,4}:{(137,1),(164,1)}
       155:{4,7}:{(139,1),(140,1)}
       156:{1,6,7}:{(142,1),(143,1),(167,1),(171,1)}
       157:{1,5,6}:{(142,1),(144,1),(150,1),(167,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(145,1),(167,1),(169,1)}
       159:{2,4,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1),(182,1)}
       160:{1,4,7}:{(145,1),(146,1),(155,1),(169,1),(188,1)}
       161:{2,7}:{(147,1),(148,1),(171,1)}
       162:{1,6}:{(148,1),(149,1),(171,1)}
       163:{1,4,5}:{(150,1),(151,1),(153,1),(168,1),(172,1)}
       164:{3,5}:{(151,1),(154,1),(170,1)}
       165:{1,2,4}:{(152,1),(153,1),(173,1),(174,1)}
       166:{1,3,4}:{(153,1),(154,1),(172,1),(173,1),(174,1)}
       167:{1,5,7}:{(156,1),(157,1),(158,1),(175,1)}
       168:{1,4,6}:{(157,1),(159,1),(163,1),(175,1),(176,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1),(175,1),(177,1),(185,1)}
       170:{3,6}:{(159,1),(164,1),(177,1)}
       171:{1,7}:{(161,1),(162,1)}
       172:{1,3,5}:{(163,1),(164,1),(166,1),(176,1),(178,1)}
       173:{1,3}:{(165,1),(179,1)}
       174:{2,4}:{(166,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(167,1),(168,1),(169,1),(181,1)}
       176:{1,3,6}:{(168,1),(170,1),(172,1),(181,1),(182,1)}
       177:{3,7}:{(169,1),(170,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(176,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 306 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 307 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 308 :   0:{1,4,5,6}:{(1,1),(2,1),(3,1),(50,1),(57,1),(138,1),(204,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(28,1),(32,1),(87,1),(160,1),(161,1),(169,1),(252,1),(263,1),(349,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(178,1),(273,1)}
         3:{1,4,5,7}:{(0,1),(7,1),(10,1),(11,1),(79,1),(88,1),(168,1)}
         4:{1,3,4,5}:{(8,1),(12,1),(31,1),(45,1),(82,1),(105,1),(157,1),(178,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(14,1),(21,1),(57,1),(194,1),(204,1),(290,1)}
         6:{3,5,6}:{(1,1),(15,1),(17,1),(123,1),(209,1),(310,1)}
         7:{2,4,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(22,1),(51,1),(58,1),(124,1),(126,1),(127,1),(212,1),(312,1)}
         8:{1,3,4,6}:{(2,1),(4,1),(15,1),(19,1),(20,1),(57,1),(65,1),(123,1)}
         9:{2,5,6}:{(2,1),(19,1),(21,1),(22,1),(221,1),(321,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1),(23,1)}
        11:{1,4,6,7}:{(3,1),(18,1),(23,1),(24,1),(114,1),(226,1)}
        12:{2,4,5}:{(4,1),(19,1),(25,1),(26,1),(72,1),(142,1),(221,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(27,1),(28,1),(29,1),(239,1),(335,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(29,1),(30,1),(43,1),(88,1),(168,1)}
        15:{3,4,6}:{(6,1),(31,1),(32,1),(33,1),(349,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(28,1),(32,1),(34,1),(35,1),(39,1),(75,1),(81,1),(156,1),(160,1)}
        17:{3,5,7}:{(6,1),(7,1),(33,1),(36,1),(166,1)}
        18:{2,4,6,7}:{(7,1),(11,1),(30,1),(36,1),(37,1),(44,1),(80,1),(94,1),(263,1)}
        19:{2,4,6}:{(8,1),(9,1),(12,1),(39,1),(40,1),(41,1),(96,1)}
        20:{1,3,4,7}:{(8,1),(10,1),(33,1),(41,1),(88,1),(97,1),(166,1)}
        21:{1,5,6}:{(9,1),(40,1),(43,1),(268,1),(363,1)}
        22:{2,5,7}:{(9,1),(10,1),(41,1),(43,1),(44,1)}
        23:{1,3,6,7}:{(10,1),(11,1),(36,1),(44,1),(273,1)}
        24:{1,5,6,7}:{(11,1),(37,1),(168,1),(275,1)}
        25:{2,3,5}:{(12,1),(38,1),(39,1),(45,1),(157,1)}
        26:{1,4,5}:{(12,1),(40,1),(45,1),(183,1),(268,1)}
        27:{1,3,4,6}:{(13,1),(15,1),(47,1),(48,1),(49,1),(57,1),(108,1),(123,1)}
        28:{2,5,6}:{(13,1),(48,1),(50,1),(51,1),(285,1),(374,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(17,1),(49,1),(51,1),(52,1)}
        30:{1,4,6,7}:{(14,1),(18,1),(52,1),(53,1),(71,1),(290,1)}
        31:{3,4,5}:{(15,1),(54,1),(209,1),(377,1),(389,1)}
        32:{2,4,6}:{(15,1),(16,1),(54,1),(57,1),(58,1)}
        33:{3,4,7}:{(15,1),(17,1),(58,1),(312,1)}
        34:{1,3,5,6}:{(16,1),(21,1),(50,1),(57,1),(60,1),(61,1),(65,1),(108,1),(115,1),(123,1),(200,1),(204,1),(302,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(22,1),(51,1),(58,1),(61,1),(62,1),(66,1),(109,1),(126,1)}
        36:{3,6,7}:{(17,1),(18,1),(310,1)}
        37:{2,5,6,7}:{(18,1),(24,1),(53,1),(63,1),(126,1),(212,1),(314,1)}
        38:{2,3,4}:{(25,1),(64,1),(142,1),(201,1),(216,1)}
        39:{2,3,6}:{(19,1),(25,1),(65,1),(66,1),(123,1)}
        40:{1,4,6}:{(19,1),(21,1),(26,1),(65,1),(68,1)}
        41:{2,4,7}:{(19,1),(20,1),(22,1),(66,1),(68,1),(135,1)}
        42:{1,2,5,6}:{(21,1),(60,1),(67,1),(69,1),(70,1),(189,1),(197,1),(221,1),(295,1),(318,1),(321,1),(390,1)}
        43:{1,5,7}:{(21,1),(22,1),(68,1),(71,1)}
        44:{2,6,7}:{(22,1),(23,1),(71,1),(321,1)}
        45:{1,3,5}:{(25,1),(26,1),(64,1),(65,1),(72,1)}
        46:{1,2,4,5}:{(26,1),(67,1),(72,1),(73,1),(117,1),(131,1),(138,1),(142,1),(197,1),(221,1),(228,1),(293,1),(315,1),(378,1)}
        47:{1,3,4,5}:{(27,1),(31,1),(74,1),(82,1),(145,1),(157,1),(234,1),(239,1)}
        48:{2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(77,1),(147,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(33,1),(77,1),(88,1),(148,1),(166,1)}
        50:{1,5,6}:{(28,1),(76,1),(79,1),(330,1),(405,1)}
        51:{2,5,7}:{(28,1),(29,1),(77,1),(79,1),(80,1)}
        52:{1,3,6,7}:{(29,1),(30,1),(36,1),(80,1),(335,1)}
        53:{1,5,6,7}:{(30,1),(37,1),(168,1),(337,1)}
        54:{2,4,5}:{(31,1),(32,1),(81,1),(82,1),(338,1)}
        55:{3,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(90,1),(259,1),(358,1),(408,1),(443,1)}
        56:{2,3,4,6}:{(32,1),(38,1),(39,1),(75,1),(81,1),(85,1),(86,1),(144,1),(156,1),(165,1),(176,1),(237,1),(253,1),(338,1),(411,1)}
        57:{1,4,6}:{(32,1),(34,1),(82,1),(87,1),(88,1),(349,1)}
        58:{2,4,7}:{(32,1),(33,1),(35,1),(88,1)}
        59:{3,4,6,7}:{(33,1),(36,1),(84,1),(89,1),(90,1),(94,1)}
        60:{2,5,6}:{(34,1),(87,1),(92,1),(96,1),(147,1),(154,1),(248,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(43,1),(79,1),(88,1),(92,1),(93,1),(97,1),(148,1),(166,1),(168,1),(261,1)}
        62:{2,3,6,7}:{(35,1),(36,1),(44,1),(80,1),(89,1),(93,1),(156,1)}
        63:{3,5,6,7}:{(36,1),(37,1),(90,1),(94,1),(261,1),(357,1)}
        64:{1,3,4}:{(38,1),(45,1),(95,1),(172,1),(183,1)}
        65:{1,3,6}:{(39,1),(40,1),(45,1),(96,1),(97,1)}
        66:{2,3,7}:{(39,1),(41,1),(97,1),(166,1)}
        67:{1,2,4,6}:{(40,1),(42,1),(46,1),(87,1),(96,1),(98,1),(99,1),(100,1),(176,1),(276,1),(360,1),(409,1)}
        68:{1,4,7}:{(40,1),(41,1),(43,1),(97,1)}
        69:{1,3,5,6}:{(42,1),(91,1),(98,1),(100,1),(101,1),(178,1),(235,1),(244,1),(273,1),(275,1),(330,1),(342,1),(405,1),(414,1)}
        70:{1,2,5,7}:{(42,1),(43,1),(92,1),(99,1),(101,1),(102,1),(236,1),(271,1),(362,1),(419,1)}
        71:{1,6,7}:{(43,1),(44,1),(363,1)}
        72:{2,5}:{(45,1),(95,1),(96,1)}
        73:{1,3,5}:{(46,1),(98,1),(104,1),(105,1),(157,1),(172,1),(407,1)}
        74:{2,4,5}:{(47,1),(48,1),(106,1),(107,1),(187,1),(281,1),(285,1)}
        75:{2,3,6}:{(48,1),(106,1),(108,1),(109,1),(123,1)}
        76:{1,4,6}:{(48,1),(50,1),(107,1),(108,1),(111,1)}
        77:{2,4,7}:{(48,1),(49,1),(51,1),(109,1),(111,1),(191,1)}
        78:{1,2,5,6}:{(50,1),(60,1),(110,1),(112,1),(113,1),(133,1),(197,1),(285,1),(295,1),(371,1),(374,1),(390,1)}
        79:{1,5,7}:{(50,1),(51,1),(111,1),(114,1)}
        80:{2,6,7}:{(51,1),(52,1),(114,1),(374,1)}
        81:{2,3,5}:{(54,1),(56,1),(115,1),(209,1),(221,1),(285,1),(433,1)}
        82:{1,4,5}:{(54,1),(57,1),(115,1),(117,1),(293,1),(389,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(58,1),(116,1),(118,1),(119,1),(126,1),(379,1),(433,1)}
        84:{3,4,6}:{(55,1),(119,1),(120,1),(310,1),(396,1)}
        85:{1,3,4,6}:{(56,1),(57,1),(64,1),(65,1),(108,1),(115,1),(121,1),(122,1),(123,1),(186,1),(200,1),(201,1),(205,1),(219,1),(283,1),(293,1),(301,1),(383,1)}
        86:{2,3,4,7}:{(56,1),(58,1),(66,1),(109,1),(116,1),(122,1),(210,1),(222,1),(286,1),(304,1),(379,1)}
        87:{2,4,6}:{(57,1),(60,1),(117,1),(123,1),(124,1)}
        88:{1,4,7}:{(57,1),(58,1),(61,1),(124,1),(312,1)}
        89:{2,4,6,7}:{(58,1),(59,1),(62,1),(119,1),(125,1),(126,1)}
        90:{3,5,7}:{(59,1),(120,1),(126,1),(127,1)}
        91:{2,3,5,6}:{(60,1),(69,1),(112,1),(123,1),(128,1),(129,1),(134,1),(190,1),(198,1),(209,1),(221,1),(285,1),(292,1),(298,1),(302,1),(310,1),(314,1),(321,1),(374,1),(380,1),(386,1),(390,1),(428,1),(433,1),(449,1)}
        92:{2,5,7}:{(60,1),(61,1),(124,1),(130,1),(135,1),(191,1)}
        93:{1,3,6,7}:{(61,1),(62,1),(71,1),(114,1),(125,1),(130,1),(200,1),(211,1)}
        94:{4,6,7}:{(63,1),(127,1),(312,1),(396,1)}
        95:{2,4}:{(64,1),(72,1),(132,1)}
        96:{2,6}:{(65,1),(72,1),(135,1)}
        97:{1,3,7}:{(65,1),(66,1),(68,1),(135,1)}
        98:{1,3,6}:{(67,1),(73,1),(123,1),(134,1),(137,1),(428,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(70,1),(124,1),(135,1),(137,1),(139,1),(222,1),(324,1),(397,1),(431,1)}
       100:{1,4,6}:{(69,1),(128,1),(138,1),(139,1),(293,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(129,1),(137,1),(139,1),(140,1),(227,1),(284,1),(372,1)}
       102:{1,2,6,7}:{(70,1),(71,1),(130,1),(140,1),(295,1),(321,1),(398,1),(438,1)}
       103:{1,2,5}:{(72,1),(131,1),(133,1),(141,1),(315,1)}
       104:{2,3,5}:{(72,1),(73,1),(132,1),(134,1),(141,1),(142,1),(216,1),(221,1),(315,1)}
       105:{1,3,4}:{(73,1),(142,1),(201,1),(293,1),(377,1)}
       106:{2,3,5}:{(74,1),(75,1),(144,1),(145,1),(157,1)}
       107:{1,4,5}:{(74,1),(76,1),(145,1),(327,1),(330,1)}
       108:{1,3,6}:{(75,1),(76,1),(145,1),(147,1),(148,1)}
       109:{2,3,7}:{(75,1),(77,1),(148,1),(166,1)}
       110:{1,2,4,6}:{(76,1),(78,1),(87,1),(146,1),(147,1),(149,1),(150,1),(151,1),(237,1),(402,1),(409,1),(439,1)}
       111:{1,4,7}:{(76,1),(77,1),(79,1),(148,1)}
       112:{1,3,5,6}:{(78,1),(91,1),(149,1),(151,1),(152,1),(174,1),(239,1),(244,1),(268,1),(335,1),(337,1),(342,1),(363,1),(414,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(92,1),(150,1),(152,1),(153,1),(175,1),(333,1),(404,1),(419,1)}
       114:{1,6,7}:{(79,1),(80,1),(405,1)}
       115:{1,3,5}:{(81,1),(82,1),(85,1),(154,1),(157,1),(268,1),(330,1),(348,1),(414,1)}
       116:{2,3,5,7}:{(81,1),(83,1),(86,1),(155,1),(156,1),(259,1),(271,1),(333,1)}
       117:{2,4,5}:{(82,1),(87,1),(154,1),(157,1),(246,1)}
       118:{1,4,5,7}:{(82,1),(83,1),(88,1),(155,1),(158,1),(159,1),(168,1),(341,1),(414,1)}
       119:{2,4,6}:{(83,1),(84,1),(156,1),(159,1),(160,1)}
       120:{3,5,6}:{(84,1),(90,1),(160,1),(161,1),(443,1)}
       121:{2,4,6}:{(85,1),(95,1),(96,1),(147,1),(154,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       122:{1,3,4,7}:{(85,1),(86,1),(88,1),(97,1),(148,1),(155,1),(164,1),(166,1),(250,1),(255,1),(269,1),(331,1),(341,1)}
       123:{3,6}:{(87,1),(157,1),(166,1)}
       124:{2,4,7}:{(87,1),(88,1),(92,1),(166,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(93,1),(159,1),(167,1),(168,1)}
       126:{2,5,7}:{(89,1),(90,1),(160,1),(168,1)}
       127:{4,5,7}:{(90,1),(94,1),(161,1)}
       128:{2,4,6}:{(91,1),(100,1),(151,1),(165,1),(169,1),(170,1),(246,1),(338,1),(349,1),(453,1)}
       129:{2,3,5,7}:{(91,1),(92,1),(101,1),(152,1),(166,1),(170,1),(171,1),(177,1),(238,1),(259,1),(261,1),(264,1),(271,1),(333,1),(419,1),(441,1),(452,1)}
       130:{2,6,7}:{(92,1),(93,1),(248,1)}
       131:{1,2,4}:{(95,1),(103,1),(172,1),(183,1),(265,1)}
       132:{2,3}:{(95,1),(172,1)}
       133:{1,2,6}:{(96,1),(103,1),(174,1),(175,1),(360,1)}
       134:{2,3,6}:{(96,1),(98,1),(104,1),(174,1),(176,1),(177,1),(360,1)}
       135:{2,7}:{(96,1),(97,1)}
       136:{1,3,4,6}:{(98,1),(100,1),(105,1),(165,1),(176,1),(178,1),(179,1),(273,1)}
       137:{1,3,7}:{(98,1),(99,1),(166,1),(177,1),(441,1)}
       138:{1,4,5}:{(100,1),(169,1),(178,1),(330,1),(414,1)}
       139:{1,4,7}:{(100,1),(101,1),(170,1)}
       140:{1,3,6,7}:{(101,1),(102,1),(171,1),(182,1),(273,1),(342,1),(405,1)}
       141:{1,3,5}:{(103,1),(104,1),(172,1),(174,1),(183,1),(268,1)}
       142:{2,4}:{(104,1),(105,1),(183,1)}
       143:{1,3,4,5}:{(105,1),(178,1),(184,1),(185,1),(249,1),(266,1),(340,1),(407,1)}
       144:{2,3,4}:{(106,1),(186,1),(201,1),(281,1),(365,1)}
       145:{1,3,5}:{(106,1),(107,1),(108,1),(186,1),(187,1)}
       146:{1,2,4,5}:{(107,1),(110,1),(117,1),(187,1),(188,1),(194,1),(197,1),(278,1),(281,1),(285,1),(293,1),(368,1),(378,1),(423,1)}
       147:{2,6}:{(108,1),(187,1),(191,1)}
       148:{1,3,7}:{(108,1),(109,1),(111,1),(191,1)}
       149:{1,3,6}:{(110,1),(123,1),(188,1),(190,1),(193,1),(428,1)}
       150:{1,2,4,7}:{(110,1),(111,1),(113,1),(124,1),(191,1),(193,1),(195,1),(286,1),(426,1),(431,1),(447,1)}
       151:{1,4,6}:{(112,1),(128,1),(194,1),(195,1),(293,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(129,1),(193,1),(195,1),(196,1),(220,1),(291,1),(319,1)}
       153:{1,2,6,7}:{(113,1),(114,1),(130,1),(196,1),(295,1),(374,1),(427,1),(438,1)}
       154:{2,5}:{(115,1),(121,1)}
       155:{1,3,5,7}:{(115,1),(116,1),(118,1),(122,1),(199,1),(200,1),(202,1),(319,1),(372,1)}
       156:{2,3,6}:{(116,1),(119,1),(200,1),(310,1),(321,1),(374,1)}
       157:{3,5}:{(117,1),(123,1),(201,1)}
       158:{2,4,5,7}:{(117,1),(118,1),(124,1),(199,1),(202,1),(203,1),(212,1),(297,1),(312,1),(386,1),(389,1)}
       159:{1,4,6}:{(118,1),(119,1),(200,1),(203,1),(204,1)}
       160:{2,5,6}:{(119,1),(120,1),(126,1),(204,1),(433,1)}
       161:{4,5,6}:{(120,1),(127,1),(396,1),(450,1)}
       162:{1,2,4,6}:{(121,1),(131,1),(133,1),(189,1),(197,1),(205,1),(206,1),(219,1),(278,1),(283,1),(293,1),(295,1),(303,1),(383,1)}
       163:{2,3,6}:{(121,1),(123,1),(132,1),(198,1),(205,1),(208,1),(279,1)}
       164:{2,4,7}:{(121,1),(122,1),(135,1),(191,1),(199,1),(208,1)}
       165:{3,4,6}:{(123,1),(128,1),(201,1),(209,1),(210,1),(310,1),(377,1),(428,1)}
       166:{3,7}:{(123,1),(124,1)}
       167:{2,4,6,7}:{(124,1),(125,1),(130,1),(203,1),(211,1),(212,1),(312,1)}
       168:{1,5,7}:{(125,1),(126,1),(204,1),(212,1)}
       169:{2,4,5}:{(128,1),(138,1),(194,1),(209,1),(221,1),(285,1),(386,1),(389,1),(433,1),(450,1)}
       170:{2,4,7}:{(128,1),(129,1),(139,1),(195,1),(210,1),(312,1),(454,1)}
       171:{2,3,6,7}:{(129,1),(130,1),(140,1),(196,1),(211,1),(215,1),(298,1),(310,1),(321,1),(374,1),(380,1),(438,1),(448,1)}
       172:{1,3}:{(131,1),(132,1),(216,1)}
       173:{2,3,4}:{(132,1),(142,1),(217,1),(218,1),(377,1)}
       174:{1,3,6}:{(133,1),(134,1),(141,1),(219,1),(220,1)}
       175:{1,2,7}:{(133,1),(135,1),(220,1),(397,1)}
       176:{2,4,6}:{(134,1),(136,1),(142,1),(219,1),(221,1),(222,1),(321,1)}
       177:{2,3,7}:{(134,1),(135,1),(137,1),(220,1),(222,1),(397,1)}
       178:{1,3,5}:{(136,1),(138,1),(209,1),(221,1)}
       179:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(222,1),(224,1)}
       180:{1,4,5,6}:{(138,1),(213,1),(223,1),(225,1),(226,1),(371,1),(381,1),(435,1)}
       181:{1,4,5,7}:{(138,1),(139,1),(214,1),(224,1),(226,1),(227,1),(372,1)}
       182:{1,4,6,7}:{(139,1),(140,1),(215,1),(226,1),(227,1),(383,1)}
       183:{1,4}:{(141,1),(142,1)}
       184:{2,4,5}:{(142,1),(143,1),(218,1),(221,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(143,1),(223,1),(229,1),(230,1),(299,1),(316,1),(381,1),(428,1)}
       186:{1,3,4}:{(144,1),(145,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(145,1),(147,1),(231,1)}
       188:{1,3,5}:{(146,1),(149,1),(157,1),(233,1),(234,1),(325,1),(407,1)}
       189:{1,2,6}:{(147,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,3,6}:{(147,1),(149,1),(233,1),(235,1),(237,1),(238,1),(439,1)}
       191:{2,7}:{(147,1),(148,1)}
       192:{1,3,4,6}:{(149,1),(151,1),(165,1),(234,1),(237,1),(239,1),(240,1),(335,1)}
       193:{1,3,7}:{(149,1),(150,1),(166,1),(238,1),(441,1)}
       194:{1,4,5}:{(151,1),(169,1),(239,1),(268,1),(414,1)}
       195:{1,4,7}:{(151,1),(152,1),(170,1)}
       196:{1,3,6,7}:{(152,1),(153,1),(171,1),(243,1),(335,1),(342,1),(363,1)}
       197:{1,2,5}:{(154,1),(162,1),(244,1),(268,1),(330,1),(350,1),(414,1)}
       198:{2,3,5}:{(154,1),(157,1),(163,1),(244,1),(246,1)}
       199:{2,5,7}:{(154,1),(155,1),(164,1),(248,1)}
       200:{1,3,6}:{(155,1),(156,1),(159,1),(248,1),(251,1),(363,1),(405,1)}
       201:{3,4}:{(157,1),(246,1)}
       202:{3,5,7}:{(157,1),(158,1),(166,1),(250,1),(251,1),(348,1)}
       203:{2,4,6}:{(158,1),(159,1),(248,1),(251,1),(252,1),(349,1)}
       204:{1,5,6}:{(159,1),(160,1),(168,1),(252,1),(414,1)}
       205:{1,3,6}:{(162,1),(163,1),(172,1),(244,1),(253,1),(255,1),(325,1)}
       206:{1,2,4,7}:{(162,1),(164,1),(175,1),(236,1),(245,1),(255,1),(269,1),(331,1),(341,1),(351,1)}
       207:{2,3,4,6}:{(163,1),(165,1),(173,1),(176,1),(237,1),(246,1),(254,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(355,1),(401,1)}
       208:{2,3,7}:{(163,1),(164,1),(166,1),(255,1)}
       209:{3,5}:{(165,1),(169,1)}
       210:{3,4,7}:{(165,1),(166,1),(170,1),(259,1),(441,1)}
       211:{3,6,7}:{(166,1),(167,1),(251,1),(261,1)}
       212:{2,5,7}:{(167,1),(168,1),(252,1),(261,1)}
       213:{2,4,5,6}:{(169,1),(180,1),(241,1),(258,1),(262,1),(263,1),(270,1),(332,1),(343,1),(409,1),(416,1),(418,1),(445,1),(453,1)}
       214:{2,4,5,7}:{(169,1),(170,1),(181,1),(242,1),(259,1),(263,1),(264,1),(271,1),(333,1),(358,1)}
       215:{2,4,6,7}:{(170,1),(171,1),(182,1),(243,1),(260,1),(263,1),(264,1),(345,1),(411,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(407,1)}
       219:{1,4,6}:{(174,1),(176,1),(183,1),(268,1),(269,1),(363,1)}
       220:{1,3,7}:{(174,1),(175,1),(177,1),(269,1)}
       221:{2,5}:{(176,1),(178,1),(268,1)}
       222:{2,4,7}:{(176,1),(177,1),(179,1),(269,1),(271,1)}
       223:{1,3,5,6}:{(178,1),(180,1),(185,1),(258,1),(270,1),(272,1),(273,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(181,1),(259,1),(271,1),(273,1)}
       225:{1,4,5,7}:{(180,1),(262,1),(272,1),(274,1),(404,1),(412,1),(446,1)}
       226:{1,4,6}:{(181,1),(263,1),(273,1),(275,1),(405,1)}
       227:{1,5,7}:{(182,1),(264,1),(275,1),(414,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(268,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(270,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(272,1),(277,1),(346,1),(361,1),(412,1),(441,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(190,1),(279,1),(280,1),(281,1),(285,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(201,1),(281,1),(293,1),(377,1)}
       235:{1,3,6}:{(189,1),(190,1),(280,1),(283,1),(284,1)}
       236:{1,2,7}:{(189,1),(191,1),(284,1),(447,1)}
       237:{2,4,6}:{(190,1),(192,1),(281,1),(283,1),(285,1),(286,1),(374,1)}
       238:{2,3,7}:{(190,1),(191,1),(193,1),(284,1),(286,1),(447,1)}
       239:{1,3,5}:{(192,1),(194,1),(209,1),(285,1)}
       240:{1,3,4,7}:{(192,1),(193,1),(195,1),(210,1),(286,1),(288,1)}
       241:{1,4,5,6}:{(194,1),(213,1),(287,1),(289,1),(290,1),(318,1),(381,1),(435,1)}
       242:{1,4,5,7}:{(194,1),(195,1),(214,1),(288,1),(290,1),(291,1),(319,1)}
       243:{1,4,6,7}:{(195,1),(196,1),(215,1),(290,1),(291,1),(383,1)}
       244:{1,3,5}:{(197,1),(198,1),(205,1),(292,1),(293,1)}
       245:{1,2,5,7}:{(197,1),(199,1),(206,1),(294,1),(295,1),(319,1),(372,1),(391,1)}
       246:{2,4}:{(198,1),(201,1),(293,1)}
       247:{2,3,5,7}:{(198,1),(199,1),(202,1),(208,1),(294,1),(297,1),(298,1),(386,1)}
       248:{2,6}:{(199,1),(200,1)}
       249:{3,4,5}:{(201,1),(209,1),(296,1),(299,1),(450,1)}
       250:{3,4,7}:{(201,1),(202,1),(297,1),(301,1),(312,1)}
       251:{3,6}:{(202,1),(203,1)}
       252:{2,5,6}:{(203,1),(204,1),(212,1),(302,1),(386,1)}
       253:{2,3,6}:{(205,1),(216,1),(292,1),(303,1),(304,1),(365,1),(428,1)}
       254:{1,3,4,6}:{(205,1),(207,1),(217,1),(219,1),(283,1),(293,1),(303,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(393,1),(424,1),(428,1),(430,1)}
       255:{1,3,7}:{(205,1),(206,1),(208,1),(304,1)}
       256:{2,3,5}:{(207,1),(209,1),(221,1),(285,1),(296,1),(305,1),(386,1)}
       257:{2,3,4,7}:{(207,1),(208,1),(210,1),(222,1),(286,1),(297,1),(306,1),(308,1),(317,1),(384,1),(425,1)}
       258:{3,5,6}:{(209,1),(213,1),(299,1),(309,1),(310,1),(428,1)}
       259:{3,5,7}:{(209,1),(210,1),(214,1),(310,1)}
       260:{3,4,6,7}:{(210,1),(211,1),(215,1),(301,1),(310,1),(311,1),(312,1),(396,1),(430,1),(448,1),(454,1)}
       261:{3,5,7}:{(211,1),(212,1),(302,1),(312,1)}
       262:{2,4,5,7}:{(213,1),(225,1),(289,1),(309,1),(313,1),(320,1),(373,1),(384,1),(431,1),(436,1),(437,1),(451,1),(454,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(310,1),(314,1),(321,1),(374,1),(396,1)}
       264:{2,5,7}:{(215,1),(227,1),(291,1),(311,1),(314,1),(386,1),(433,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(428,1)}
       268:{1,5}:{(219,1),(221,1)}
       269:{1,4,7}:{(219,1),(220,1),(222,1),(319,1)}
       270:{2,5,6}:{(221,1),(223,1),(229,1),(318,1),(320,1),(321,1)}
       271:{2,5,7}:{(221,1),(222,1),(224,1),(319,1),(321,1)}
       272:{1,3,5,7}:{(223,1),(225,1),(230,1),(309,1),(320,1),(322,1)}
       273:{1,3,6}:{(224,1),(226,1),(310,1),(321,1)}
       274:{1,4,6,7}:{(225,1),(226,1),(313,1),(322,1),(323,1),(427,1)}
       275:{1,5,6}:{(226,1),(227,1),(314,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(318,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(320,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(235,1),(325,1),(327,1),(330,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(239,1),(249,1),(328,1),(329,1),(340,1),(400,1),(407,1)}
       283:{1,4,6}:{(235,1),(237,1),(327,1),(330,1),(331,1),(405,1)}
       284:{1,3,7}:{(235,1),(236,1),(238,1),(331,1)}
       285:{2,5}:{(237,1),(239,1),(330,1)}
       286:{2,4,7}:{(237,1),(238,1),(240,1),(331,1),(333,1)}
       287:{1,3,5,6}:{(239,1),(241,1),(258,1),(329,1),(332,1),(334,1),(335,1)}
       288:{1,3,5,7}:{(239,1),(240,1),(242,1),(259,1),(333,1),(335,1)}
       289:{1,4,5,7}:{(241,1),(262,1),(334,1),(336,1),(362,1),(412,1),(446,1)}
       290:{1,4,6}:{(242,1),(263,1),(335,1),(337,1),(363,1)}
       291:{1,5,7}:{(243,1),(264,1),(337,1),(414,1)}
       292:{2,3,5}:{(244,1),(253,1),(338,1),(350,1),(407,1)}
       293:{1,4}:{(244,1),(246,1),(338,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(255,1),(339,1),(341,1),(342,1),(414,1)}
       295:{1,2,6}:{(245,1),(248,1),(342,1),(363,1),(405,1),(420,1)}
       296:{2,4,5}:{(246,1),(249,1),(256,1),(340,1),(343,1)}
       297:{2,4,7}:{(246,1),(247,1),(250,1),(341,1),(345,1)}
       298:{2,3,6}:{(247,1),(248,1),(251,1),(342,1),(345,1)}
       299:{3,4,6}:{(249,1),(258,1),(343,1),(346,1),(453,1)}
       300:{3,4,5,7}:{(249,1),(250,1),(259,1),(344,1),(346,1),(347,1),(348,1),(358,1),(417,1)}
       301:{3,4,6}:{(250,1),(251,1),(345,1),(348,1),(349,1)}
       302:{3,5,6}:{(251,1),(252,1),(261,1),(348,1),(349,1)}
       303:{2,4,6}:{(253,1),(254,1),(265,1),(338,1),(350,1),(351,1),(360,1),(399,1),(420,1),(439,1)}
       304:{2,3,7}:{(253,1),(255,1),(351,1),(441,1)}
       305:{1,3,5}:{(254,1),(256,1),(268,1),(330,1),(340,1),(350,1),(407,1),(414,1),(443,1)}
       306:{1,3,4,7}:{(254,1),(255,1),(257,1),(269,1),(331,1),(341,1),(351,1),(353,1),(361,1),(408,1),(412,1),(440,1),(441,1)}
       307:{2,3,5,6}:{(256,1),(258,1),(267,1),(270,1),(332,1),(343,1),(352,1),(354,1),(355,1),(401,1),(416,1)}
       308:{2,3,5,7}:{(256,1),(257,1),(259,1),(271,1),(333,1),(344,1),(353,1),(355,1)}
       309:{3,5,7}:{(258,1),(262,1),(346,1),(356,1),(441,1)}
       310:{3,6}:{(259,1),(263,1)}
       311:{3,5,7}:{(260,1),(264,1),(348,1),(357,1),(358,1),(443,1)}
       312:{4,7}:{(261,1),(349,1)}
       313:{2,4,6,7}:{(262,1),(263,1),(274,1),(336,1),(356,1),(359,1),(364,1),(406,1),(422,1)}
       314:{2,5,6}:{(263,1),(264,1),(275,1),(337,1),(357,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(441,1)}
       318:{1,5,6}:{(268,1),(270,1),(276,1),(362,1),(363,1)}
       319:{1,5,7}:{(268,1),(269,1),(271,1),(363,1)}
       320:{2,5,7}:{(270,1),(272,1),(277,1),(362,1),(364,1)}
       321:{2,6}:{(271,1),(273,1),(363,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(274,1),(356,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(362,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(285,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(287,1),(299,1),(369,1),(370,1),(381,1),(424,1),(428,1)}
       330:{1,5}:{(283,1),(285,1)}
       331:{1,4,7}:{(283,1),(284,1),(286,1),(372,1)}
       332:{2,5,6}:{(285,1),(287,1),(369,1),(371,1),(373,1),(374,1)}
       333:{2,5,7}:{(285,1),(286,1),(288,1),(372,1),(374,1)}
       334:{1,3,5,7}:{(287,1),(289,1),(309,1),(370,1),(373,1),(375,1)}
       335:{1,3,6}:{(288,1),(290,1),(310,1),(374,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(313,1),(375,1),(376,1),(398,1)}
       337:{1,5,6}:{(290,1),(291,1),(314,1)}
       338:{2,4}:{(292,1),(293,1),(377,1)}
       339:{2,3,5,7}:{(292,1),(294,1),(304,1),(379,1),(380,1),(391,1),(429,1),(433,1)}
       340:{1,4,5}:{(293,1),(296,1),(305,1),(378,1),(381,1),(450,1)}
       341:{1,4,7}:{(293,1),(294,1),(297,1),(379,1),(383,1)}
       342:{1,3,6}:{(294,1),(295,1),(298,1),(380,1),(383,1)}
       343:{2,4,6}:{(296,1),(299,1),(307,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(296,1),(297,1),(300,1),(308,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(297,1),(298,1),(301,1),(383,1),(386,1)}
       346:{3,4,7}:{(299,1),(309,1),(384,1),(454,1)}
       347:{3,4,6}:{(300,1),(310,1),(385,1),(388,1),(396,1)}
       348:{3,5}:{(301,1),(386,1),(389,1)}
       349:{4,6}:{(302,1),(312,1),(389,1)}
       350:{2,5}:{(303,1),(305,1)}
       351:{2,4,7}:{(303,1),(304,1),(306,1),(391,1),(397,1),(447,1)}
       352:{1,3,5,6}:{(305,1),(307,1),(316,1),(318,1),(371,1),(381,1),(390,1),(392,1),(393,1),(424,1),(428,1),(435,1),(449,1)}
       353:{1,3,5,7}:{(305,1),(306,1),(308,1),(319,1),(372,1),(382,1),(391,1),(393,1),(429,1)}
       354:{2,3,5,7}:{(307,1),(309,1),(317,1),(320,1),(373,1),(384,1),(392,1),(394,1),(425,1),(436,1)}
       355:{2,3,6}:{(308,1),(310,1),(321,1),(374,1),(385,1),(393,1)}
       356:{3,6,7}:{(309,1),(310,1),(313,1)}
       357:{3,5,6}:{(310,1),(311,1),(314,1),(396,1)}
       358:{4,5,7}:{(311,1),(312,1),(389,1),(396,1),(450,1),(454,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(395,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,5,7}:{(318,1),(320,1),(324,1),(398,1)}
       363:{1,6}:{(319,1),(321,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(407,1)}
       368:{1,4,5}:{(327,1),(328,1),(330,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(332,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(334,1),(346,1),(403,1),(412,1),(440,1),(441,1)}
       371:{1,5,6}:{(330,1),(332,1),(402,1),(404,1),(405,1)}
       372:{1,5,7}:{(330,1),(331,1),(333,1),(405,1)}
       373:{2,5,7}:{(332,1),(334,1),(403,1),(404,1),(406,1)}
       374:{2,6}:{(333,1),(335,1),(405,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(336,1),(356,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(338,1),(407,1)}
       378:{2,4,5}:{(338,1),(340,1),(350,1),(407,1),(409,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(408,1),(411,1)}
       380:{2,3,6}:{(339,1),(342,1),(411,1),(420,1),(442,1)}
       381:{1,4,6}:{(340,1),(343,1),(352,1),(409,1),(412,1),(453,1)}
       382:{1,4,5,7}:{(340,1),(341,1),(344,1),(353,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(341,1),(342,1),(345,1),(411,1),(414,1)}
       384:{2,4,7}:{(343,1),(346,1),(354,1),(412,1)}
       385:{2,4,6}:{(344,1),(347,1),(355,1),(413,1),(416,1)}
       386:{2,5}:{(345,1),(348,1),(414,1)}
       387:{3,4,6,7}:{(346,1),(347,1),(356,1),(415,1),(417,1),(422,1)}
       388:{3,5,6}:{(347,1),(348,1),(416,1),(417,1),(418,1)}
       389:{4,5}:{(348,1),(349,1)}
       390:{2,5,6}:{(350,1),(352,1),(360,1),(409,1),(419,1),(420,1),(439,1)}
       391:{2,5,7}:{(350,1),(351,1),(353,1),(420,1)}
       392:{1,3,5,7}:{(352,1),(354,1),(361,1),(362,1),(404,1),(412,1),(419,1),(421,1),(440,1),(441,1),(446,1),(452,1)}
       393:{1,3,6}:{(353,1),(355,1),(363,1),(405,1),(413,1),(420,1),(442,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(356,1),(364,1),(406,1),(415,1),(421,1)}
       395:{3,5,6,7}:{(356,1),(357,1),(359,1),(417,1),(422,1),(452,1)}
       396:{4,6}:{(357,1),(358,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(428,1)}
       402:{1,4,6}:{(368,1),(369,1),(371,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(373,1),(425,1),(426,1),(447,1)}
       404:{1,5,7}:{(371,1),(373,1),(426,1),(427,1)}
       405:{1,6}:{(372,1),(374,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,5}:{(377,1),(378,1),(428,1)}
       408:{3,4,7}:{(377,1),(379,1),(429,1),(430,1),(454,1)}
       409:{2,4,6}:{(378,1),(381,1),(390,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(378,1),(379,1),(382,1),(391,1),(429,1),(431,1),(432,1),(433,1),(450,1),(451,1),(454,1)}
       411:{2,4,6}:{(379,1),(380,1),(383,1),(430,1),(433,1)}
       412:{1,4,7}:{(381,1),(384,1),(392,1),(431,1),(454,1)}
       413:{1,4,6}:{(382,1),(385,1),(393,1),(432,1),(435,1)}
       414:{1,5}:{(383,1),(386,1),(433,1)}
       415:{2,4,6,7}:{(384,1),(385,1),(387,1),(394,1),(434,1),(436,1)}
       416:{2,5,6}:{(385,1),(386,1),(388,1),(435,1),(436,1)}
       417:{3,5,7}:{(387,1),(388,1),(436,1),(437,1)}
       418:{4,5,6}:{(388,1),(389,1),(396,1),(437,1)}
       419:{2,5,7}:{(390,1),(392,1),(397,1),(431,1),(438,1),(447,1)}
       420:{2,6}:{(391,1),(393,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(434,1),(438,1),(448,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(441,1)}
       426:{1,4,7}:{(402,1),(403,1),(404,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,6}:{(407,1),(409,1),(441,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,4,6}:{(408,1),(411,1),(442,1),(443,1),(453,1)}
       431:{2,4,7}:{(409,1),(412,1),(419,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(420,1),(442,1),(445,1),(453,1)}
       433:{2,5}:{(411,1),(414,1),(443,1)}
       434:{1,4,6,7}:{(412,1),(413,1),(415,1),(421,1),(444,1),(446,1)}
       435:{1,5,6}:{(413,1),(414,1),(416,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(417,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,7}:{(428,1),(431,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,5}:{(430,1),(433,1),(450,1)}
       444:{2,4,6,7}:{(431,1),(432,1),(434,1),(438,1),(448,1),(451,1),(454,1)}
       445:{2,5,6}:{(432,1),(433,1),(435,1),(449,1),(451,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{3,6,7}:{(441,1),(442,1),(444,1),(452,1)}
       449:{3,5,6}:{(442,1),(443,1),(445,1),(452,1),(453,1)}
       450:{4,5}:{(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(452,1)}
       452:{3,5,7}:{(448,1),(449,1),(451,1),(454,1)}
       453:{4,6}:{(449,1),(450,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 309 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1),(38,1),(57,1),(85,1)}
         6:{1,2,6}:{(1,1),(13,1),(14,1),(36,1)}
         7:{1,3,4}:{(2,1),(11,1),(12,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(5,1),(17,1),(20,1),(21,1),(22,1),(42,1),(48,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,4}:{(5,1),(20,1)}
        13:{1,3,6}:{(5,1),(6,1),(21,1),(24,1),(25,1),(95,1)}
        14:{1,2,7}:{(6,1),(25,1),(53,1)}
        15:{1,3,5}:{(7,1),(22,1),(23,1),(26,1),(48,1)}
        16:{1,2,4}:{(8,1),(27,1),(28,1),(58,1)}
        17:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(29,1),(31,1),(61,1)}
        18:{1,2,6}:{(8,1),(29,1),(30,1),(86,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,4}:{(10,1),(12,1),(28,1),(32,1)}
        21:{2,3,6}:{(10,1),(13,1),(29,1),(34,1),(35,1),(36,1),(64,1),(86,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,5}:{(12,1),(15,1),(33,1),(37,1),(38,1),(85,1)}
        24:{1,4,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(71,1)}
        25:{1,3,7}:{(13,1),(14,1),(35,1),(39,1),(101,1)}
        26:{1,3,6}:{(15,1),(36,1),(37,1),(40,1),(64,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,4}:{(17,1),(20,1)}
        29:{1,3,6}:{(17,1),(18,1),(21,1),(45,1),(46,1),(47,1)}
        30:{1,2,7}:{(18,1),(46,1),(96,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(20,1),(48,1)}
        33:{2,4,5}:{(20,1),(22,1),(23,1),(44,1),(48,1),(50,1),(51,1),(73,1),(80,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(51,1),(52,1),(83,1)}
        35:{2,3,7}:{(21,1),(25,1),(46,1),(52,1),(53,1),(79,1),(96,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,6}:{(23,1),(26,1),(50,1),(54,1),(55,1),(95,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,7}:{(24,1),(25,1),(52,1),(56,1)}
        40:{1,3,7}:{(26,1),(53,1),(55,1),(79,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(59,1)}
        44:{1,4,5}:{(28,1),(31,1),(33,1),(59,1),(60,1),(61,1)}
        45:{1,4,6}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        46:{1,3,7}:{(29,1),(30,1),(35,1),(62,1),(63,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,5}:{(32,1),(33,1),(64,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        50:{2,4,6}:{(33,1),(36,1),(37,1),(60,1),(64,1),(67,1),(68,1),(86,1),(90,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,7}:{(34,1),(35,1),(39,1),(62,1),(66,1),(69,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(38,1),(67,1),(70,1),(71,1)}
        55:{1,4,7}:{(37,1),(40,1),(68,1),(70,1),(101,1)}
        56:{1,5,7}:{(38,1),(39,1),(69,1),(71,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(44,1),(48,1),(73,1),(74,1)}
        60:{1,4,6}:{(44,1),(47,1),(50,1),(74,1),(75,1),(76,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,7}:{(45,1),(46,1),(52,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,6}:{(48,1),(50,1),(79,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{3,4,7}:{(49,1),(52,1),(79,1),(81,1),(98,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(75,1),(78,1),(82,1),(83,1)}
        68:{2,4,7}:{(50,1),(53,1),(55,1),(76,1),(79,1),(82,1),(96,1),(98,1)}
        69:{2,5,7}:{(51,1),(52,1),(56,1),(77,1),(81,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(82,1),(84,1)}
        71:{1,6}:{(56,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(60,1),(64,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(61,1),(67,1),(88,1),(89,1)}
        76:{1,4,7}:{(60,1),(63,1),(68,1),(87,1),(88,1)}
        77:{1,5,7}:{(61,1),(62,1),(69,1),(89,1)}
        78:{3,5,6}:{(64,1),(65,1),(67,1),(90,1),(91,1),(93,1),(103,1)}
        79:{3,7}:{(64,1),(68,1)}
        80:{4,5}:{(65,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(69,1),(92,1),(93,1)}
        82:{2,5,7}:{(67,1),(68,1),(70,1),(88,1),(91,1),(94,1)}
        83:{2,6}:{(69,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(76,1),(79,1),(96,1)}
        88:{1,5,7}:{(75,1),(76,1),(82,1),(97,1)}
        89:{1,6}:{(77,1),(83,1)}
        90:{4,6}:{(78,1),(80,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(104,1)}
        92:{4,5,7}:{(80,1),(81,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(83,1),(100,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(99,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(93,1),(94,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 310 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 311 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 312 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(20,1),(46,1),(87,1),(134,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(35,1),(62,1),(105,1),(114,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(9,1),(30,1),(152,1)}
         3:{1,2,6}:{(0,1),(7,1),(70,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(41,1),(53,1),(80,1),(102,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(18,1),(39,1),(42,1),(45,1),(46,1),(55,1),(80,1),(89,1)}
         6:{1,4,7}:{(1,1),(13,1),(17,1),(56,1),(135,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(127,1)}
         8:{1,3,7}:{(2,1),(18,1),(19,1),(165,1),(184,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(51,1),(56,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(33,1),(61,1),(64,1),(69,1),(78,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(59,1),(125,1)}
        12:{1,2,6}:{(4,1),(22,1),(106,1)}
        13:{2,4,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(7,1),(22,1),(27,1),(65,1),(70,1),(106,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(28,1),(29,1),(32,1),(73,1),(76,1),(105,1),(122,1),(150,1),(171,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(26,1),(28,1),(30,1),(31,1),(122,1),(153,1),(156,1)}
        17:{1,4,6}:{(6,1),(7,1),(27,1),(32,1)}
        18:{2,3,7}:{(8,1),(30,1),(33,1),(34,1),(156,1),(175,1),(177,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(178,1)}
        20:{1,2,5}:{(9,1),(32,1),(35,1),(75,1),(179,1)}
        21:{1,4,7}:{(10,1),(13,1),(38,1),(90,1),(103,1)}
        22:{1,3,6}:{(10,1),(12,1),(14,1),(38,1),(95,1)}
        23:{1,3,7}:{(11,1),(39,1),(40,1),(143,1),(188,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(85,1),(90,1)}
        25:{2,4,5,7}:{(13,1),(15,1),(36,1),(42,1),(43,1),(45,1),(46,1),(80,1),(93,1),(94,1),(101,1),(133,1),(137,1),(140,1),(162,1)}
        26:{3,4,7}:{(13,1),(42,1),(44,1),(104,1),(136,1),(137,1)}
        27:{2,4,6}:{(13,1),(14,1),(17,1),(38,1),(44,1),(45,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(46,1),(47,1),(52,1),(164,1),(180,1)}
        29:{1,4,6}:{(15,1),(43,1),(47,1),(49,1),(127,1)}
        30:{2,4,7}:{(16,1),(18,1),(46,1),(50,1),(51,1),(166,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(19,1),(44,1),(47,1),(51,1),(52,1),(56,1),(99,1),(104,1),(141,1)}
        32:{1,5}:{(17,1),(45,1)}
        33:{1,3,7}:{(18,1),(50,1),(53,1),(54,1),(183,1)}
        34:{2,3,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(141,1),(168,1)}
        35:{1,3,5}:{(19,1),(20,1),(55,1),(56,1),(169,1),(170,1)}
        36:{1,4,5,7}:{(21,1),(25,1),(57,1),(58,1),(61,1),(69,1),(109,1),(112,1),(123,1),(149,1),(154,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(26,1),(57,1),(59,1),(60,1),(126,1),(149,1),(173,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(61,1)}
        39:{2,3,7}:{(23,1),(59,1),(62,1),(63,1),(158,1),(173,1),(185,1)}
        40:{1,3,6}:{(23,1),(24,1),(63,1),(64,1),(186,1)}
        41:{1,2,5}:{(24,1),(61,1),(64,1),(111,1),(187,1)}
        42:{3,5,7}:{(25,1),(26,1),(65,1),(68,1),(124,1),(151,1),(156,1),(173,1)}
        43:{2,4,6}:{(25,1),(29,1),(58,1),(65,1),(67,1),(70,1),(106,1),(117,1)}
        44:{3,4,6}:{(26,1),(27,1),(65,1),(68,1),(117,1)}
        45:{2,5}:{(27,1),(32,1),(61,1),(68,1)}
        46:{2,5,7}:{(28,1),(30,1),(69,1),(70,1),(75,1),(174,1),(185,1)}
        47:{1,3,6}:{(28,1),(29,1),(65,1),(70,1)}
        48:{1,4,6,7}:{(29,1),(66,1),(71,1),(73,1),(122,1),(145,1),(171,1)}
        49:{1,5,6}:{(29,1),(32,1),(67,1),(73,1)}
        50:{1,4,7}:{(30,1),(33,1),(69,1),(74,1),(176,1)}
        51:{2,4,6}:{(30,1),(31,1),(34,1),(70,1),(74,1),(75,1),(79,1)}
        52:{1,3,5}:{(31,1),(32,1),(68,1),(75,1),(76,1),(124,1)}
        53:{1,2,7}:{(33,1),(77,1),(177,1),(187,1)}
        54:{1,3,6}:{(33,1),(34,1),(74,1),(77,1),(78,1)}
        55:{2,3,5}:{(34,1),(35,1),(75,1),(78,1),(79,1),(124,1),(157,1),(158,1)}
        56:{1,4}:{(35,1),(79,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(42,1),(80,1),(81,1),(86,1),(142,1),(167,1)}
        58:{1,4,6}:{(36,1),(43,1),(81,1),(83,1),(95,1)}
        59:{2,4,7}:{(37,1),(39,1),(80,1),(84,1),(85,1),(144,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(40,1),(44,1),(81,1),(85,1),(86,1),(90,1),(131,1),(136,1),(163,1)}
        61:{1,5}:{(38,1),(45,1)}
        62:{1,3,7}:{(39,1),(84,1),(87,1),(88,1),(170,1)}
        63:{2,3,6}:{(39,1),(40,1),(85,1),(88,1),(89,1),(163,1),(181,1)}
        64:{1,3,5}:{(40,1),(41,1),(89,1),(90,1),(182,1),(183,1)}
        65:{3,6}:{(42,1),(43,1)}
        66:{2,4,6,7}:{(43,1),(48,1),(82,1),(91,1),(93,1),(96,1),(128,1),(137,1),(140,1),(162,1)}
        67:{2,5,6}:{(43,1),(45,1),(49,1),(83,1),(92,1),(93,1)}
        68:{3,5}:{(44,1),(45,1),(94,1)}
        69:{1,5,7}:{(46,1),(50,1),(95,1),(100,1),(182,1),(188,1)}
        70:{2,6}:{(46,1),(47,1),(95,1)}
        71:{1,3,6,7}:{(47,1),(48,1),(91,1),(96,1),(98,1),(180,1)}
        72:{1,3,5,6}:{(47,1),(49,1),(52,1),(92,1),(97,1),(98,1),(99,1),(141,1)}
        73:{1,5,7}:{(48,1),(49,1),(93,1)}
        74:{1,4,6}:{(50,1),(51,1),(54,1),(95,1),(100,1),(103,1)}
        75:{2,5}:{(51,1),(52,1),(100,1)}
        76:{1,4,5}:{(52,1),(56,1),(94,1),(99,1),(101,1),(169,1)}
        77:{1,2,6}:{(53,1),(54,1),(102,1),(168,1)}
        78:{1,3,5}:{(54,1),(55,1),(100,1),(102,1),(103,1),(143,1)}
        79:{2,4}:{(55,1),(56,1),(103,1),(104,1)}
        80:{2,5,7}:{(57,1),(59,1),(105,1),(106,1),(111,1),(157,1),(177,1)}
        81:{1,3,6}:{(57,1),(58,1),(65,1),(106,1)}
        82:{1,4,6,7}:{(58,1),(66,1),(107,1),(109,1),(118,1),(149,1),(154,1)}
        83:{1,5,6}:{(58,1),(61,1),(67,1),(109,1)}
        84:{1,4,7}:{(59,1),(62,1),(105,1),(110,1),(159,1)}
        85:{2,4,6}:{(59,1),(60,1),(63,1),(106,1),(110,1),(111,1),(115,1)}
        86:{1,3,5}:{(60,1),(61,1),(68,1),(111,1),(112,1),(151,1)}
        87:{1,2,7}:{(62,1),(113,1),(179,1),(185,1)}
        88:{1,3,6}:{(62,1),(63,1),(110,1),(113,1),(114,1)}
        89:{2,3,5}:{(63,1),(64,1),(111,1),(114,1),(115,1),(151,1),(174,1),(175,1)}
        90:{1,4}:{(64,1),(115,1)}
        91:{3,6,7}:{(65,1),(66,1),(116,1),(156,1),(173,1)}
        92:{3,5,6}:{(65,1),(67,1),(68,1),(116,1),(117,1)}
        93:{2,5,7}:{(66,1),(67,1),(73,1),(109,1),(116,1)}
        94:{4,5}:{(68,1),(117,1)}
        95:{1,6}:{(69,1),(70,1)}
        96:{2,6,7}:{(70,1),(71,1),(118,1),(120,1),(185,1)}
        97:{2,5,6}:{(70,1),(72,1),(75,1),(119,1),(120,1),(121,1)}
        98:{1,3,5,7}:{(71,1),(72,1),(73,1),(116,1),(120,1),(122,1),(156,1)}
        99:{1,4,6}:{(72,1),(76,1),(117,1),(121,1),(122,1),(178,1)}
       100:{1,5}:{(74,1),(75,1)}
       101:{2,4,5}:{(75,1),(76,1),(79,1),(121,1),(123,1),(124,1),(157,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1),(157,1)}
       103:{1,4}:{(78,1),(79,1)}
       104:{3,4}:{(79,1),(124,1)}
       105:{1,5,7}:{(80,1),(84,1),(127,1),(132,1),(169,1),(184,1)}
       106:{2,6}:{(80,1),(81,1),(127,1)}
       107:{1,3,6,7}:{(81,1),(82,1),(91,1),(128,1),(130,1),(167,1)}
       108:{1,3,5,6}:{(81,1),(83,1),(86,1),(92,1),(129,1),(130,1),(131,1),(163,1)}
       109:{1,5,7}:{(82,1),(83,1),(93,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(127,1),(132,1),(135,1)}
       111:{2,5}:{(85,1),(86,1),(132,1)}
       112:{1,4,5}:{(86,1),(90,1),(94,1),(131,1),(133,1),(182,1)}
       113:{1,2,6}:{(87,1),(88,1),(134,1),(181,1)}
       114:{1,3,5}:{(88,1),(89,1),(132,1),(134,1),(135,1),(165,1)}
       115:{2,4}:{(89,1),(90,1),(135,1),(136,1)}
       116:{3,5,7}:{(91,1),(92,1),(93,1),(137,1)}
       117:{4,6}:{(92,1),(94,1),(137,1)}
       118:{1,6,7}:{(95,1),(96,1),(138,1),(188,1)}
       119:{1,5,6}:{(95,1),(97,1),(100,1),(138,1),(139,1)}
       120:{2,5,7}:{(96,1),(97,1),(98,1),(138,1),(140,1)}
       121:{2,4,6}:{(97,1),(99,1),(101,1),(139,1),(140,1),(141,1),(168,1)}
       122:{1,4,7}:{(98,1),(99,1),(137,1),(140,1),(184,1)}
       123:{1,4,5}:{(100,1),(101,1),(103,1),(139,1),(142,1)}
       124:{3,5}:{(101,1),(104,1),(141,1)}
       125:{1,2,4}:{(102,1),(103,1),(143,1),(144,1)}
       126:{1,3,4}:{(103,1),(104,1),(142,1),(143,1),(144,1)}
       127:{1,6}:{(105,1),(106,1)}
       128:{2,6,7}:{(106,1),(107,1),(145,1),(147,1),(177,1)}
       129:{2,5,6}:{(106,1),(108,1),(111,1),(146,1),(147,1),(148,1)}
       130:{1,3,5,7}:{(107,1),(108,1),(109,1),(116,1),(147,1),(149,1),(173,1)}
       131:{1,4,6}:{(108,1),(112,1),(117,1),(148,1),(149,1),(186,1)}
       132:{1,5}:{(110,1),(111,1)}
       133:{2,4,5}:{(111,1),(112,1),(115,1),(148,1),(150,1),(151,1),(174,1)}
       134:{1,2,5}:{(113,1),(114,1),(152,1),(174,1)}
       135:{1,4}:{(114,1),(115,1)}
       136:{3,4}:{(115,1),(151,1)}
       137:{4,7}:{(116,1),(117,1)}
       138:{1,5,7}:{(118,1),(119,1),(120,1),(154,1)}
       139:{1,4,6}:{(119,1),(121,1),(123,1),(154,1),(155,1)}
       140:{2,4,7}:{(120,1),(121,1),(122,1),(154,1),(156,1),(177,1)}
       141:{3,6}:{(121,1),(124,1),(156,1)}
       142:{1,3,5}:{(123,1),(124,1),(126,1),(155,1),(157,1)}
       143:{1,3}:{(125,1),(158,1)}
       144:{2,4}:{(126,1),(157,1),(158,1),(159,1)}
       145:{1,6,7}:{(127,1),(128,1),(160,1),(184,1)}
       146:{1,5,6}:{(127,1),(129,1),(132,1),(160,1),(161,1)}
       147:{2,5,7}:{(128,1),(129,1),(130,1),(160,1),(162,1)}
       148:{2,4,6}:{(129,1),(131,1),(133,1),(161,1),(162,1),(163,1),(181,1)}
       149:{1,4,7}:{(130,1),(131,1),(137,1),(162,1),(188,1)}
       150:{1,4,5}:{(132,1),(133,1),(135,1),(161,1),(164,1)}
       151:{3,5}:{(133,1),(136,1),(163,1)}
       152:{1,2,4}:{(134,1),(135,1),(165,1),(166,1)}
       153:{1,3,4}:{(135,1),(136,1),(164,1),(165,1),(166,1)}
       154:{1,4,7}:{(138,1),(139,1),(140,1),(167,1)}
       155:{1,3,6}:{(139,1),(141,1),(142,1),(167,1),(168,1)}
       156:{3,7}:{(140,1),(141,1)}
       157:{2,5}:{(142,1),(144,1),(168,1),(169,1)}
       158:{2,3}:{(143,1),(144,1),(170,1)}
       159:{1,4}:{(144,1),(169,1),(170,1)}
       160:{1,5,7}:{(145,1),(146,1),(147,1),(171,1)}
       161:{1,4,6}:{(146,1),(148,1),(150,1),(171,1),(172,1)}
       162:{2,4,7}:{(147,1),(148,1),(149,1),(171,1),(173,1),(185,1)}
       163:{3,6}:{(148,1),(151,1),(173,1)}
       164:{1,3,5}:{(150,1),(151,1),(153,1),(172,1),(174,1)}
       165:{1,3}:{(152,1),(175,1)}
       166:{2,4}:{(153,1),(174,1),(175,1),(176,1)}
       167:{1,3,7}:{(154,1),(155,1),(156,1),(177,1)}
       168:{2,6}:{(155,1),(157,1),(177,1),(178,1)}
       169:{1,5}:{(157,1),(159,1),(178,1)}
       170:{1,3}:{(158,1),(159,1),(179,1)}
       171:{1,4,7}:{(160,1),(161,1),(162,1),(180,1)}
       172:{1,3,6}:{(161,1),(163,1),(164,1),(180,1),(181,1)}
       173:{3,7}:{(162,1),(163,1)}
       174:{2,5}:{(164,1),(166,1),(181,1),(182,1)}
       175:{2,3}:{(165,1),(166,1),(183,1)}
       176:{1,4}:{(166,1),(182,1),(183,1)}
       177:{2,7}:{(167,1),(168,1),(184,1)}
       178:{1,6}:{(168,1),(169,1),(184,1)}
       179:{1,2}:{(170,1)}
       180:{1,3,7}:{(171,1),(172,1),(173,1),(185,1)}
       181:{2,6}:{(172,1),(174,1),(185,1),(186,1)}
       182:{1,5}:{(174,1),(176,1),(186,1)}
       183:{1,3}:{(175,1),(176,1),(187,1)}
       184:{1,7}:{(177,1),(178,1)}
       185:{2,7}:{(180,1),(181,1),(188,1)}
       186:{1,6}:{(181,1),(182,1),(188,1)}
       187:{1,2}:{(183,1)}
       188:{1,7}:{(185,1),(186,1)}

 313 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(35,1),(47,1)}
         1:{1,2,4}:{(0,1),(6,1),(7,1),(30,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(8,1),(33,1),(52,1),(84,1)}
         3:{1,2,6}:{(0,1),(8,1),(9,1),(65,1)}
         4:{1,2,5}:{(10,1),(11,1),(12,1),(15,1),(70,1)}
         5:{2,3,5}:{(2,1),(11,1),(13,1),(14,1),(16,1),(36,1),(41,1),(44,1),(47,1),(70,1)}
         6:{1,3}:{(1,1),(16,1)}
         7:{1,4}:{(2,1),(13,1)}
         8:{1,3,6}:{(2,1),(3,1),(14,1),(19,1),(20,1),(95,1)}
         9:{1,2,7}:{(3,1),(20,1),(82,1)}
        10:{1,2,4}:{(4,1),(21,1),(22,1),(53,1)}
        11:{1,3,5}:{(4,1),(5,1),(21,1),(22,1),(23,1),(29,1),(56,1),(64,1)}
        12:{1,2,6}:{(4,1),(23,1),(24,1),(85,1)}
        13:{2,4}:{(5,1),(7,1),(22,1),(25,1)}
        14:{2,3,6}:{(5,1),(8,1),(23,1),(27,1),(28,1),(58,1),(65,1),(85,1)}
        15:{1,2}:{(29,1)}
        16:{2,3}:{(6,1),(29,1),(30,1)}
        17:{1,3,4}:{(6,1),(7,1),(25,1),(30,1),(31,1)}
        18:{1,4,5}:{(7,1),(26,1),(31,1),(32,1),(33,1),(84,1)}
        19:{1,4,6}:{(7,1),(8,1),(27,1),(33,1),(34,1),(68,1)}
        20:{1,3,7}:{(8,1),(9,1),(28,1),(34,1),(101,1)}
        21:{1,3}:{(10,1),(36,1)}
        22:{1,4}:{(11,1),(13,1)}
        23:{1,3,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(81,1)}
        24:{1,2,7}:{(12,1),(40,1),(96,1)}
        25:{3,4}:{(13,1),(41,1)}
        26:{2,4,5}:{(13,1),(18,1),(38,1),(41,1),(43,1),(44,1),(47,1),(70,1),(77,1)}
        27:{2,4,6}:{(13,1),(14,1),(19,1),(39,1),(42,1),(44,1),(45,1),(80,1)}
        28:{2,3,7}:{(14,1),(20,1),(40,1),(45,1),(76,1),(82,1),(96,1)}
        29:{1,3}:{(15,1),(16,1),(46,1)}
        30:{2,4}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,3,5}:{(17,1),(18,1),(41,1),(47,1),(48,1)}
        32:{1,4,6}:{(18,1),(43,1),(48,1),(49,1),(50,1),(95,1)}
        33:{1,5}:{(19,1),(44,1)}
        34:{1,4,7}:{(19,1),(20,1),(45,1),(51,1)}
        35:{1,2}:{(52,1)}
        36:{2,3}:{(21,1),(52,1),(53,1)}
        37:{1,3,4}:{(21,1),(22,1),(25,1),(53,1),(54,1)}
        38:{1,4,5}:{(22,1),(26,1),(54,1),(55,1),(56,1),(64,1)}
        39:{1,4,6}:{(22,1),(23,1),(27,1),(56,1),(57,1),(88,1)}
        40:{1,3,7}:{(23,1),(24,1),(28,1),(57,1),(94,1)}
        41:{3,5}:{(25,1),(26,1),(58,1)}
        42:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(60,1),(89,1),(92,1)}
        43:{2,4,6}:{(26,1),(32,1),(55,1),(58,1),(61,1),(62,1),(65,1),(85,1),(89,1)}
        44:{2,5}:{(27,1),(33,1),(56,1),(59,1)}
        45:{2,4,7}:{(27,1),(28,1),(34,1),(57,1),(60,1),(63,1)}
        46:{1,4}:{(29,1),(30,1),(64,1)}
        47:{2,5}:{(30,1),(31,1),(64,1),(65,1)}
        48:{1,3,6}:{(31,1),(32,1),(58,1),(65,1),(66,1)}
        49:{1,5,6}:{(32,1),(33,1),(61,1),(67,1),(68,1)}
        50:{1,4,7}:{(32,1),(62,1),(66,1),(67,1),(101,1)}
        51:{1,5,7}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,3}:{(35,1),(36,1),(69,1)}
        53:{2,4}:{(36,1),(37,1),(69,1),(70,1)}
        54:{1,3,5}:{(37,1),(38,1),(41,1),(70,1),(71,1)}
        55:{1,4,6}:{(38,1),(43,1),(71,1),(72,1),(73,1),(81,1)}
        56:{1,5}:{(39,1),(44,1)}
        57:{1,4,7}:{(39,1),(40,1),(45,1),(74,1)}
        58:{3,6}:{(41,1),(43,1),(76,1)}
        59:{3,5}:{(42,1),(44,1),(77,1)}
        60:{3,4,7}:{(42,1),(45,1),(76,1),(78,1),(98,1)}
        61:{2,5,6}:{(43,1),(44,1),(49,1),(72,1),(75,1),(79,1),(80,1)}
        62:{2,4,7}:{(43,1),(50,1),(73,1),(76,1),(79,1),(82,1),(96,1),(98,1)}
        63:{2,5,7}:{(44,1),(45,1),(51,1),(74,1),(78,1),(80,1)}
        64:{1,5}:{(46,1),(47,1),(81,1)}
        65:{2,6}:{(47,1),(48,1),(81,1),(82,1)}
        66:{1,3,7}:{(48,1),(50,1),(76,1),(82,1)}
        67:{1,5,7}:{(49,1),(50,1),(79,1),(83,1)}
        68:{1,6}:{(51,1),(80,1)}
        69:{1,4}:{(52,1),(53,1),(84,1)}
        70:{2,5}:{(53,1),(54,1),(84,1),(85,1)}
        71:{1,3,6}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        72:{1,5,6}:{(55,1),(56,1),(61,1),(87,1),(88,1)}
        73:{1,4,7}:{(55,1),(62,1),(86,1),(87,1),(94,1)}
        74:{1,5,7}:{(56,1),(57,1),(63,1),(88,1)}
        75:{3,5,6}:{(58,1),(59,1),(61,1),(89,1),(90,1),(92,1),(103,1)}
        76:{3,7}:{(58,1),(62,1)}
        77:{4,5}:{(59,1),(89,1)}
        78:{3,5,7}:{(59,1),(60,1),(63,1),(91,1),(92,1)}
        79:{2,5,7}:{(61,1),(62,1),(67,1),(87,1),(90,1),(93,1)}
        80:{2,6}:{(63,1),(68,1),(88,1),(92,1)}
        81:{1,6}:{(64,1),(65,1),(94,1)}
        82:{2,7}:{(65,1),(66,1),(94,1)}
        83:{1,6,7}:{(67,1),(68,1),(93,1)}
        84:{1,5}:{(69,1),(70,1),(95,1)}
        85:{2,6}:{(70,1),(71,1),(95,1),(96,1)}
        86:{1,3,7}:{(71,1),(73,1),(76,1),(96,1)}
        87:{1,5,7}:{(72,1),(73,1),(79,1),(97,1)}
        88:{1,6}:{(74,1),(80,1)}
        89:{4,6}:{(75,1),(77,1),(98,1)}
        90:{3,5,7}:{(75,1),(76,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,5,7}:{(77,1),(78,1),(98,1),(100,1),(104,1)}
        92:{3,6}:{(78,1),(80,1),(100,1)}
        93:{2,6,7}:{(79,1),(80,1),(83,1),(97,1),(99,1)}
        94:{1,7}:{(81,1),(82,1)}
        95:{1,6}:{(84,1),(85,1),(101,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6,7}:{(87,1),(88,1),(93,1)}
        98:{4,7}:{(89,1),(90,1)}
        99:{3,6,7}:{(90,1),(92,1),(93,1),(102,1)}
       100:{4,6}:{(91,1),(92,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 314 :   0:{1,4,5,6}:{(1,1),(3,1),(4,1),(50,1),(57,1),(135,1),(191,1),(218,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(7,1),(8,1),(12,1),(30,1),(34,1),(78,1),(87,1),(149,1),(162,1),(238,1),(252,1),(337,1)}
         2:{1,5,6,7}:{(6,1),(10,1),(156,1),(265,1)}
         3:{1,4,5,7}:{(0,1),(7,1),(10,1),(11,1),(75,1),(86,1),(156,1)}
         4:{1,3,5,6}:{(0,1),(8,1),(9,1),(11,1),(12,1),(172,1),(263,1)}
         5:{1,4,5,6}:{(1,1),(14,1),(15,1),(26,1),(57,1),(186,1),(191,1),(279,1)}
         6:{2,5,6,7}:{(2,1),(13,1),(16,1),(18,1),(118,1),(199,1),(302,1)}
         7:{2,4,5,7}:{(1,1),(3,1),(14,1),(18,1),(19,1),(25,1),(49,1),(54,1),(56,1),(118,1),(120,1),(199,1),(298,1)}
         8:{3,5,6}:{(1,1),(17,1),(19,1),(121,1),(202,1),(300,1)}
         9:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(23,1),(57,1),(64,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(3,1),(18,1),(24,1),(107,1),(218,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(19,1),(22,1),(24,1),(25,1)}
        12:{2,5,6}:{(4,1),(23,1),(25,1),(26,1),(214,1),(312,1)}
        13:{1,5,6,7}:{(6,1),(28,1),(156,1),(327,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(43,1),(86,1),(156,1)}
        15:{1,3,5,6}:{(5,1),(8,1),(27,1),(29,1),(30,1),(229,1),(325,1)}
        16:{3,5,6,7}:{(6,1),(32,1),(35,1),(84,1),(247,1),(348,1)}
        17:{3,4,6}:{(8,1),(31,1),(33,1),(34,1),(337,1)}
        18:{2,4,6,7}:{(6,1),(7,1),(10,1),(28,1),(32,1),(35,1),(42,1),(74,1),(252,1)}
        19:{3,5,7}:{(7,1),(8,1),(33,1),(35,1),(158,1)}
        20:{2,3,5,6}:{(8,1),(12,1),(30,1),(34,1),(36,1),(37,1),(39,1),(71,1),(77,1),(146,1),(149,1)}
        21:{1,3,4,5}:{(9,1),(31,1),(38,1),(81,1),(92,1),(152,1),(166,1),(172,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(33,1),(40,1),(86,1),(94,1),(158,1)}
        23:{2,4,6}:{(9,1),(12,1),(38,1),(39,1),(40,1),(41,1),(95,1)}
        24:{1,3,6,7}:{(10,1),(11,1),(35,1),(42,1),(263,1)}
        25:{2,5,7}:{(11,1),(12,1),(40,1),(42,1),(43,1)}
        26:{1,5,6}:{(12,1),(41,1),(43,1),(260,1),(356,1)}
        27:{1,3,4,6}:{(15,1),(17,1),(45,1),(46,1),(47,1),(57,1),(104,1),(121,1)}
        28:{1,4,6,7}:{(13,1),(14,1),(18,1),(48,1),(67,1),(279,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1)}
        30:{2,5,6}:{(15,1),(47,1),(49,1),(50,1),(275,1),(367,1)}
        31:{3,4,5}:{(17,1),(52,1),(202,1),(371,1),(381,1)}
        32:{4,6,7}:{(16,1),(54,1),(298,1),(389,1)}
        33:{3,4,7}:{(17,1),(19,1),(56,1),(298,1)}
        34:{2,4,6}:{(17,1),(20,1),(52,1),(56,1),(57,1)}
        35:{3,6,7}:{(18,1),(19,1),(300,1)}
        36:{2,3,5,7}:{(19,1),(20,1),(25,1),(49,1),(56,1),(58,1),(59,1),(63,1),(103,1),(118,1)}
        37:{1,3,5,6}:{(20,1),(26,1),(50,1),(57,1),(59,1),(60,1),(64,1),(104,1),(111,1),(121,1),(188,1),(191,1),(288,1)}
        38:{2,4,5}:{(21,1),(23,1),(61,1),(62,1),(126,1),(209,1),(214,1)}
        39:{2,3,6}:{(23,1),(61,1),(63,1),(64,1),(121,1)}
        40:{2,4,7}:{(22,1),(23,1),(25,1),(63,1),(65,1),(129,1)}
        41:{1,4,6}:{(23,1),(26,1),(62,1),(64,1),(65,1)}
        42:{2,6,7}:{(24,1),(25,1),(67,1),(312,1)}
        43:{1,5,7}:{(25,1),(26,1),(65,1),(67,1)}
        44:{1,2,5,6}:{(26,1),(60,1),(66,1),(68,1),(69,1),(179,1),(187,1),(214,1),(282,1),(311,1),(312,1),(385,1)}
        45:{1,3,4,5}:{(27,1),(31,1),(70,1),(81,1),(137,1),(152,1),(223,1),(229,1)}
        46:{1,3,4,7}:{(27,1),(29,1),(33,1),(72,1),(86,1),(139,1),(158,1)}
        47:{2,4,6}:{(27,1),(30,1),(70,1),(71,1),(72,1),(73,1),(140,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(35,1),(74,1),(325,1)}
        49:{2,5,7}:{(29,1),(30,1),(72,1),(74,1),(75,1)}
        50:{1,5,6}:{(30,1),(73,1),(75,1),(322,1),(401,1)}
        51:{3,4,5,7}:{(31,1),(33,1),(79,1),(80,1),(84,1),(249,1),(347,1),(404,1),(441,1)}
        52:{2,4,5}:{(31,1),(34,1),(77,1),(81,1),(330,1)}
        53:{2,3,4,6}:{(34,1),(39,1),(71,1),(77,1),(82,1),(83,1),(91,1),(136,1),(146,1),(159,1),(170,1),(227,1),(242,1),(330,1),(406,1)}
        54:{4,5,7}:{(32,1),(78,1),(84,1)}
        55:{3,4,6,7}:{(32,1),(33,1),(35,1),(79,1),(84,1),(85,1)}
        56:{2,4,7}:{(33,1),(34,1),(36,1),(86,1)}
        57:{1,4,6}:{(34,1),(37,1),(81,1),(86,1),(87,1),(337,1)}
        58:{2,3,6,7}:{(35,1),(36,1),(42,1),(74,1),(85,1),(88,1),(146,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(43,1),(75,1),(86,1),(88,1),(89,1),(94,1),(139,1),(156,1),(158,1),(247,1)}
        60:{2,5,6}:{(37,1),(87,1),(89,1),(95,1),(140,1),(148,1),(235,1)}
        61:{2,3,5}:{(38,1),(39,1),(91,1),(92,1),(152,1)}
        62:{1,4,5}:{(38,1),(41,1),(92,1),(256,1),(260,1)}
        63:{2,3,7}:{(39,1),(40,1),(94,1),(158,1)}
        64:{1,3,6}:{(39,1),(41,1),(92,1),(94,1),(95,1)}
        65:{1,4,7}:{(40,1),(41,1),(43,1),(94,1)}
        66:{1,2,4,6}:{(41,1),(44,1),(87,1),(93,1),(95,1),(96,1),(97,1),(100,1),(170,1),(354,1),(408,1),(420,1)}
        67:{1,6,7}:{(42,1),(43,1),(356,1)}
        68:{1,2,5,7}:{(43,1),(44,1),(89,1),(96,1),(98,1),(99,1),(224,1),(261,1),(357,1),(417,1)}
        69:{1,3,5,6}:{(44,1),(90,1),(97,1),(99,1),(100,1),(172,1),(225,1),(234,1),(263,1),(265,1),(322,1),(331,1),(401,1),(409,1)}
        70:{2,4,5}:{(45,1),(47,1),(101,1),(102,1),(177,1),(270,1),(275,1)}
        71:{2,3,6}:{(47,1),(101,1),(103,1),(104,1),(121,1)}
        72:{2,4,7}:{(46,1),(47,1),(49,1),(103,1),(105,1),(180,1)}
        73:{1,4,6}:{(47,1),(50,1),(102,1),(104,1),(105,1)}
        74:{2,6,7}:{(48,1),(49,1),(107,1),(367,1)}
        75:{1,5,7}:{(49,1),(50,1),(105,1),(107,1)}
        76:{1,2,5,6}:{(50,1),(60,1),(106,1),(108,1),(109,1),(128,1),(187,1),(275,1),(282,1),(366,1),(367,1),(385,1)}
        77:{2,3,5}:{(52,1),(53,1),(111,1),(202,1),(214,1),(275,1),(430,1)}
        78:{4,5,6}:{(54,1),(112,1),(389,1),(448,1)}
        79:{3,4,6}:{(51,1),(112,1),(113,1),(300,1),(389,1)}
        80:{2,4,5,7}:{(51,1),(52,1),(56,1),(110,1),(113,1),(114,1),(118,1),(373,1),(430,1)}
        81:{1,4,5}:{(52,1),(57,1),(111,1),(115,1),(284,1),(381,1)}
        82:{2,3,4,7}:{(53,1),(56,1),(63,1),(103,1),(110,1),(116,1),(201,1),(213,1),(274,1),(292,1),(373,1)}
        83:{1,3,4,6}:{(53,1),(57,1),(64,1),(104,1),(111,1),(116,1),(117,1),(121,1),(125,1),(176,1),(188,1),(194,1),(196,1),(212,1),(273,1),(284,1),(289,1),(375,1)}
        84:{3,5,7}:{(54,1),(55,1),(112,1),(118,1)}
        85:{2,4,6,7}:{(55,1),(56,1),(58,1),(113,1),(118,1),(119,1)}
        86:{1,4,7}:{(56,1),(57,1),(59,1),(120,1),(298,1)}
        87:{2,4,6}:{(57,1),(60,1),(115,1),(120,1),(121,1)}
        88:{1,3,6,7}:{(58,1),(59,1),(67,1),(107,1),(119,1),(122,1),(188,1),(200,1)}
        89:{2,5,7}:{(59,1),(60,1),(120,1),(122,1),(129,1),(180,1)}
        90:{2,3,5,6}:{(60,1),(69,1),(109,1),(121,1),(123,1),(124,1),(130,1),(181,1),(190,1),(202,1),(214,1),(275,1),(281,1),(285,1),(288,1),(300,1),(302,1),(312,1),(367,1),(372,1),(378,1),(385,1),(429,1),(430,1),(449,1)}
        91:{2,3,4}:{(61,1),(125,1),(194,1),(209,1),(304,1)}
        92:{1,3,5}:{(61,1),(62,1),(64,1),(125,1),(126,1)}
        93:{1,2,4,5}:{(62,1),(66,1),(115,1),(126,1),(127,1),(135,1),(187,1),(206,1),(209,1),(214,1),(284,1),(307,1),(374,1),(391,1)}
        94:{1,3,7}:{(63,1),(64,1),(65,1),(129,1)}
        95:{2,6}:{(64,1),(126,1),(129,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(68,1),(120,1),(129,1),(131,1),(134,1),(213,1),(394,1),(432,1),(438,1)}
        97:{1,3,6}:{(66,1),(121,1),(127,1),(130,1),(131,1),(429,1)}
        98:{1,2,6,7}:{(67,1),(68,1),(122,1),(133,1),(282,1),(312,1),(395,1),(437,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(123,1),(131,1),(133,1),(134,1),(217,1),(272,1),(365,1)}
       100:{1,4,6}:{(69,1),(124,1),(134,1),(135,1),(284,1)}
       101:{2,3,5}:{(70,1),(71,1),(136,1),(137,1),(152,1)}
       102:{1,4,5}:{(70,1),(73,1),(137,1),(318,1),(322,1)}
       103:{2,3,7}:{(71,1),(72,1),(139,1),(158,1)}
       104:{1,3,6}:{(71,1),(73,1),(137,1),(139,1),(140,1)}
       105:{1,4,7}:{(72,1),(73,1),(75,1),(139,1)}
       106:{1,2,4,6}:{(73,1),(76,1),(87,1),(138,1),(140,1),(141,1),(142,1),(145,1),(227,1),(399,1),(408,1),(439,1)}
       107:{1,6,7}:{(74,1),(75,1),(401,1)}
       108:{1,2,5,7}:{(75,1),(76,1),(89,1),(141,1),(143,1),(144,1),(167,1),(323,1),(402,1),(417,1)}
       109:{1,3,5,6}:{(76,1),(90,1),(142,1),(144,1),(145,1),(168,1),(229,1),(234,1),(260,1),(325,1),(327,1),(331,1),(356,1),(409,1)}
       110:{2,3,5,7}:{(77,1),(80,1),(82,1),(146,1),(147,1),(249,1),(261,1),(323,1)}
       111:{1,3,5}:{(77,1),(81,1),(83,1),(148,1),(152,1),(260,1),(322,1),(338,1),(409,1)}
       112:{3,5,6}:{(78,1),(79,1),(84,1),(149,1),(441,1)}
       113:{2,4,6}:{(79,1),(80,1),(146,1),(149,1),(150,1)}
       114:{1,4,5,7}:{(80,1),(81,1),(86,1),(147,1),(150,1),(151,1),(156,1),(332,1),(409,1)}
       115:{2,4,5}:{(81,1),(87,1),(148,1),(152,1),(237,1)}
       116:{1,3,4,7}:{(82,1),(83,1),(86,1),(94,1),(139,1),(147,1),(154,1),(158,1),(240,1),(243,1),(259,1),(321,1),(332,1)}
       117:{2,4,6}:{(83,1),(95,1),(140,1),(148,1),(154,1),(155,1),(163,1),(220,1),(235,1),(237,1)}
       118:{2,5,7}:{(84,1),(85,1),(149,1),(156,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(88,1),(150,1),(156,1),(157,1)}
       120:{2,4,7}:{(86,1),(87,1),(89,1),(158,1)}
       121:{3,6}:{(87,1),(152,1),(158,1)}
       122:{2,6,7}:{(88,1),(89,1),(235,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(99,1),(144,1),(158,1),(160,1),(161,1),(169,1),(226,1),(247,1),(249,1),(251,1),(261,1),(323,1),(417,1),(443,1),(453,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(159,1),(161,1),(162,1),(237,1),(330,1),(337,1),(452,1)}
       125:{1,3,4}:{(91,1),(92,1),(163,1),(254,1),(256,1)}
       126:{2,5}:{(92,1),(95,1),(163,1)}
       127:{1,3,5}:{(93,1),(97,1),(152,1),(165,1),(166,1),(254,1),(405,1)}
       128:{1,2,6}:{(95,1),(164,1),(167,1),(168,1),(420,1)}
       129:{2,7}:{(94,1),(95,1)}
       130:{2,3,6}:{(95,1),(97,1),(165,1),(168,1),(169,1),(170,1),(420,1)}
       131:{1,3,7}:{(96,1),(97,1),(158,1),(169,1),(443,1)}
       132:{1,3,4,6}:{(97,1),(100,1),(159,1),(166,1),(170,1),(171,1),(172,1),(263,1)}
       133:{1,3,6,7}:{(98,1),(99,1),(160,1),(173,1),(263,1),(331,1),(401,1)}
       134:{1,4,7}:{(99,1),(100,1),(161,1)}
       135:{1,4,5}:{(100,1),(162,1),(172,1),(322,1),(409,1)}
       136:{2,3,4}:{(101,1),(176,1),(194,1),(270,1),(359,1)}
       137:{1,3,5}:{(101,1),(102,1),(104,1),(176,1),(177,1)}
       138:{1,2,4,5}:{(102,1),(106,1),(115,1),(177,1),(178,1),(186,1),(187,1),(267,1),(270,1),(275,1),(284,1),(362,1),(374,1),(422,1)}
       139:{1,3,7}:{(103,1),(104,1),(105,1),(180,1)}
       140:{2,6}:{(104,1),(177,1),(180,1)}
       141:{1,2,4,7}:{(105,1),(106,1),(108,1),(120,1),(180,1),(182,1),(185,1),(274,1),(425,1),(432,1),(447,1)}
       142:{1,3,6}:{(106,1),(121,1),(178,1),(181,1),(182,1),(429,1)}
       143:{1,2,6,7}:{(107,1),(108,1),(122,1),(184,1),(282,1),(367,1),(426,1),(437,1)}
       144:{1,3,5,7}:{(108,1),(109,1),(123,1),(182,1),(184,1),(185,1),(211,1),(278,1),(310,1)}
       145:{1,4,6}:{(109,1),(124,1),(185,1),(186,1),(284,1)}
       146:{2,3,6}:{(110,1),(113,1),(188,1),(300,1),(312,1),(367,1)}
       147:{1,3,5,7}:{(110,1),(111,1),(114,1),(116,1),(188,1),(189,1),(193,1),(310,1),(365,1)}
       148:{2,5}:{(111,1),(117,1)}
       149:{2,5,6}:{(112,1),(113,1),(118,1),(191,1),(430,1)}
       150:{1,4,6}:{(113,1),(114,1),(188,1),(191,1),(192,1)}
       151:{2,4,5,7}:{(114,1),(115,1),(120,1),(189,1),(192,1),(193,1),(199,1),(286,1),(298,1),(378,1),(381,1)}
       152:{3,5}:{(115,1),(121,1),(194,1)}
       153:{1,2,4,6}:{(117,1),(128,1),(179,1),(187,1),(195,1),(196,1),(206,1),(212,1),(267,1),(273,1),(282,1),(284,1),(293,1),(375,1)}
       154:{2,4,7}:{(116,1),(117,1),(129,1),(180,1),(189,1),(197,1)}
       155:{2,3,6}:{(117,1),(121,1),(190,1),(196,1),(197,1),(207,1),(268,1)}
       156:{1,5,7}:{(118,1),(119,1),(191,1),(199,1)}
       157:{2,4,6,7}:{(119,1),(120,1),(122,1),(192,1),(199,1),(200,1),(298,1)}
       158:{3,7}:{(120,1),(121,1)}
       159:{3,4,6}:{(121,1),(124,1),(194,1),(201,1),(202,1),(300,1),(371,1),(429,1)}
       160:{2,3,6,7}:{(122,1),(123,1),(133,1),(184,1),(200,1),(203,1),(285,1),(300,1),(312,1),(367,1),(372,1),(437,1),(450,1)}
       161:{2,4,7}:{(123,1),(124,1),(134,1),(185,1),(201,1),(298,1),(454,1)}
       162:{2,4,5}:{(124,1),(135,1),(186,1),(202,1),(214,1),(275,1),(378,1),(381,1),(430,1),(448,1)}
       163:{2,4}:{(125,1),(126,1),(207,1)}
       164:{1,2,5}:{(126,1),(128,1),(206,1),(208,1),(391,1)}
       165:{2,3,5}:{(126,1),(127,1),(130,1),(207,1),(208,1),(209,1),(214,1),(304,1),(391,1)}
       166:{1,3,4}:{(127,1),(194,1),(209,1),(284,1),(371,1)}
       167:{1,2,7}:{(128,1),(129,1),(211,1),(438,1)}
       168:{1,3,6}:{(128,1),(130,1),(208,1),(211,1),(212,1)}
       169:{2,3,7}:{(129,1),(130,1),(131,1),(211,1),(213,1),(438,1)}
       170:{2,4,6}:{(130,1),(132,1),(209,1),(212,1),(213,1),(214,1),(312,1)}
       171:{1,3,4,7}:{(131,1),(132,1),(134,1),(201,1),(213,1),(215,1)}
       172:{1,3,5}:{(132,1),(135,1),(202,1),(214,1)}
       173:{1,4,6,7}:{(133,1),(134,1),(203,1),(217,1),(218,1),(375,1)}
       174:{1,4,5,7}:{(134,1),(135,1),(204,1),(215,1),(217,1),(218,1),(365,1)}
       175:{1,4,5,6}:{(135,1),(205,1),(216,1),(218,1),(219,1),(366,1),(377,1),(433,1)}
       176:{1,3,4}:{(136,1),(137,1),(220,1),(316,1),(318,1)}
       177:{2,5}:{(137,1),(140,1),(220,1)}
       178:{1,3,5}:{(138,1),(142,1),(152,1),(222,1),(223,1),(316,1),(405,1)}
       179:{1,2,6}:{(140,1),(221,1),(224,1),(225,1),(439,1)}
       180:{2,7}:{(139,1),(140,1)}
       181:{2,3,6}:{(140,1),(142,1),(222,1),(225,1),(226,1),(227,1),(439,1)}
       182:{1,3,7}:{(141,1),(142,1),(158,1),(226,1),(443,1)}
       183:{1,3,4,6}:{(142,1),(145,1),(159,1),(223,1),(227,1),(228,1),(229,1),(325,1)}
       184:{1,3,6,7}:{(143,1),(144,1),(160,1),(230,1),(325,1),(331,1),(356,1)}
       185:{1,4,7}:{(144,1),(145,1),(161,1)}
       186:{1,4,5}:{(145,1),(162,1),(229,1),(260,1),(409,1)}
       187:{1,2,5}:{(148,1),(153,1),(234,1),(260,1),(322,1),(342,1),(409,1)}
       188:{1,3,6}:{(146,1),(147,1),(150,1),(235,1),(239,1),(356,1),(401,1)}
       189:{2,5,7}:{(147,1),(148,1),(154,1),(235,1)}
       190:{2,3,5}:{(148,1),(152,1),(155,1),(234,1),(237,1)}
       191:{1,5,6}:{(149,1),(150,1),(156,1),(238,1),(409,1)}
       192:{2,4,6}:{(150,1),(151,1),(235,1),(238,1),(239,1),(337,1)}
       193:{3,5,7}:{(151,1),(152,1),(158,1),(239,1),(240,1),(338,1)}
       194:{3,4}:{(152,1),(237,1)}
       195:{1,2,4,7}:{(153,1),(154,1),(167,1),(224,1),(233,1),(243,1),(259,1),(321,1),(332,1),(341,1)}
       196:{1,3,6}:{(153,1),(155,1),(234,1),(242,1),(243,1),(254,1),(316,1)}
       197:{2,3,7}:{(154,1),(155,1),(158,1),(243,1)}
       198:{2,3,4,6}:{(155,1),(159,1),(170,1),(227,1),(237,1),(244,1),(245,1),(246,1),(255,1),(317,1),(334,1),(336,1),(345,1),(353,1),(398,1)}
       199:{2,5,7}:{(156,1),(157,1),(238,1),(247,1)}
       200:{3,6,7}:{(157,1),(158,1),(239,1),(247,1)}
       201:{3,4,7}:{(158,1),(159,1),(161,1),(249,1),(443,1)}
       202:{3,5}:{(159,1),(162,1)}
       203:{2,4,6,7}:{(160,1),(161,1),(173,1),(230,1),(248,1),(251,1),(252,1),(334,1),(406,1)}
       204:{2,4,5,7}:{(161,1),(162,1),(174,1),(231,1),(249,1),(251,1),(252,1),(261,1),(323,1),(347,1)}
       205:{2,4,5,6}:{(162,1),(175,1),(232,1),(250,1),(252,1),(253,1),(262,1),(324,1),(336,1),(408,1),(412,1),(414,1),(444,1),(452,1)}
       206:{1,2,4}:{(163,1),(164,1),(254,1),(256,1),(351,1)}
       207:{2,3}:{(163,1),(254,1)}
       208:{1,3,5}:{(164,1),(165,1),(168,1),(254,1),(256,1),(260,1)}
       209:{2,4}:{(165,1),(166,1),(256,1)}
       210:{1,3,4,5}:{(166,1),(172,1),(241,1),(257,1),(258,1),(333,1),(352,1),(405,1)}
       211:{1,3,7}:{(167,1),(168,1),(169,1),(259,1)}
       212:{1,4,6}:{(168,1),(170,1),(256,1),(259,1),(260,1),(356,1)}
       213:{2,4,7}:{(169,1),(170,1),(171,1),(259,1),(261,1)}
       214:{2,5}:{(170,1),(172,1),(260,1)}
       215:{1,3,5,7}:{(171,1),(172,1),(174,1),(249,1),(261,1),(263,1)}
       216:{1,3,5,6}:{(172,1),(175,1),(250,1),(258,1),(262,1),(263,1),(264,1)}
       217:{1,5,7}:{(173,1),(251,1),(265,1),(409,1)}
       218:{1,4,6}:{(174,1),(252,1),(263,1),(265,1),(401,1)}
       219:{1,4,5,7}:{(175,1),(253,1),(264,1),(266,1),(402,1),(411,1),(446,1)}
       220:{2,4}:{(176,1),(177,1),(268,1)}
       221:{1,2,5}:{(177,1),(179,1),(267,1),(269,1),(422,1)}
       222:{2,3,5}:{(177,1),(178,1),(181,1),(268,1),(269,1),(270,1),(275,1),(359,1),(422,1)}
       223:{1,3,4}:{(178,1),(194,1),(270,1),(284,1),(371,1)}
       224:{1,2,7}:{(179,1),(180,1),(272,1),(447,1)}
       225:{1,3,6}:{(179,1),(181,1),(269,1),(272,1),(273,1)}
       226:{2,3,7}:{(180,1),(181,1),(182,1),(272,1),(274,1),(447,1)}
       227:{2,4,6}:{(181,1),(183,1),(270,1),(273,1),(274,1),(275,1),(367,1)}
       228:{1,3,4,7}:{(182,1),(183,1),(185,1),(201,1),(274,1),(276,1)}
       229:{1,3,5}:{(183,1),(186,1),(202,1),(275,1)}
       230:{1,4,6,7}:{(184,1),(185,1),(203,1),(278,1),(279,1),(375,1)}
       231:{1,4,5,7}:{(185,1),(186,1),(204,1),(276,1),(278,1),(279,1),(310,1)}
       232:{1,4,5,6}:{(186,1),(205,1),(277,1),(279,1),(280,1),(311,1),(377,1),(433,1)}
       233:{1,2,5,7}:{(187,1),(189,1),(195,1),(282,1),(283,1),(310,1),(365,1),(384,1)}
       234:{1,3,5}:{(187,1),(190,1),(196,1),(281,1),(284,1)}
       235:{2,6}:{(188,1),(189,1)}
       236:{2,3,5,7}:{(189,1),(190,1),(193,1),(197,1),(283,1),(285,1),(286,1),(378,1)}
       237:{2,4}:{(190,1),(194,1),(284,1)}
       238:{2,5,6}:{(191,1),(192,1),(199,1),(288,1),(378,1)}
       239:{3,6}:{(192,1),(193,1)}
       240:{3,4,7}:{(193,1),(194,1),(286,1),(289,1),(298,1)}
       241:{3,4,5}:{(194,1),(202,1),(287,1),(291,1),(448,1)}
       242:{2,3,6}:{(196,1),(281,1),(292,1),(293,1),(304,1),(359,1),(429,1)}
       243:{1,3,7}:{(195,1),(196,1),(197,1),(292,1)}
       244:{1,3,4,6}:{(196,1),(198,1),(212,1),(273,1),(284,1),(293,1),(294,1),(295,1),(305,1),(360,1),(371,1),(375,1),(377,1),(386,1),(392,1),(423,1),(427,1),(429,1)}
       245:{2,3,4,7}:{(197,1),(198,1),(201,1),(213,1),(274,1),(286,1),(294,1),(296,1),(380,1),(393,1),(424,1)}
       246:{2,3,5}:{(198,1),(202,1),(214,1),(275,1),(287,1),(295,1),(378,1)}
       247:{3,5,7}:{(199,1),(200,1),(288,1),(298,1)}
       248:{3,4,6,7}:{(200,1),(201,1),(203,1),(289,1),(298,1),(299,1),(300,1),(389,1),(427,1),(450,1),(454,1)}
       249:{3,5,7}:{(201,1),(202,1),(204,1),(300,1)}
       250:{3,5,6}:{(202,1),(205,1),(291,1),(300,1),(301,1),(429,1)}
       251:{2,5,7}:{(203,1),(217,1),(278,1),(299,1),(302,1),(378,1),(430,1)}
       252:{2,4,6}:{(204,1),(218,1),(279,1),(300,1),(302,1),(312,1),(367,1),(389,1)}
       253:{2,4,5,7}:{(205,1),(219,1),(280,1),(301,1),(303,1),(313,1),(368,1),(380,1),(432,1),(435,1),(436,1),(451,1),(454,1)}
       254:{1,3}:{(206,1),(207,1),(304,1)}
       255:{2,3,4}:{(207,1),(209,1),(305,1),(306,1),(371,1)}
       256:{1,4}:{(208,1),(209,1)}
       257:{2,4,5}:{(209,1),(210,1),(214,1),(306,1),(307,1),(308,1),(391,1)}
       258:{1,3,4,6}:{(210,1),(216,1),(291,1),(308,1),(309,1),(377,1),(392,1),(429,1)}
       259:{1,4,7}:{(211,1),(212,1),(213,1),(310,1)}
       260:{1,5}:{(212,1),(214,1)}
       261:{2,5,7}:{(213,1),(214,1),(215,1),(310,1),(312,1)}
       262:{2,5,6}:{(214,1),(216,1),(308,1),(311,1),(312,1),(313,1)}
       263:{1,3,6}:{(215,1),(218,1),(300,1),(312,1)}
       264:{1,3,5,7}:{(216,1),(219,1),(301,1),(309,1),(313,1),(314,1)}
       265:{1,5,6}:{(217,1),(218,1),(302,1)}
       266:{1,4,6,7}:{(218,1),(219,1),(303,1),(314,1),(315,1),(426,1)}
       267:{1,2,4}:{(220,1),(221,1),(316,1),(318,1),(396,1)}
       268:{2,3}:{(220,1),(316,1)}
       269:{1,3,5}:{(221,1),(222,1),(225,1),(316,1),(318,1),(322,1)}
       270:{2,4}:{(222,1),(223,1),(318,1)}
       271:{1,3,4,5}:{(223,1),(229,1),(241,1),(319,1),(320,1),(333,1),(397,1),(405,1)}
       272:{1,3,7}:{(224,1),(225,1),(226,1),(321,1)}
       273:{1,4,6}:{(225,1),(227,1),(318,1),(321,1),(322,1),(401,1)}
       274:{2,4,7}:{(226,1),(227,1),(228,1),(321,1),(323,1)}
       275:{2,5}:{(227,1),(229,1),(322,1)}
       276:{1,3,5,7}:{(228,1),(229,1),(231,1),(249,1),(323,1),(325,1)}
       277:{1,3,5,6}:{(229,1),(232,1),(250,1),(320,1),(324,1),(325,1),(326,1)}
       278:{1,5,7}:{(230,1),(251,1),(327,1),(409,1)}
       279:{1,4,6}:{(231,1),(252,1),(325,1),(327,1),(356,1)}
       280:{1,4,5,7}:{(232,1),(253,1),(326,1),(328,1),(357,1),(411,1),(446,1)}
       281:{2,3,5}:{(234,1),(242,1),(330,1),(342,1),(405,1)}
       282:{1,2,6}:{(233,1),(235,1),(331,1),(356,1),(401,1),(416,1)}
       283:{1,3,5,7}:{(233,1),(234,1),(236,1),(243,1),(329,1),(331,1),(332,1),(409,1)}
       284:{1,4}:{(234,1),(237,1),(330,1)}
       285:{2,3,6}:{(235,1),(236,1),(239,1),(331,1),(334,1)}
       286:{2,4,7}:{(236,1),(237,1),(240,1),(332,1),(334,1)}
       287:{2,4,5}:{(237,1),(241,1),(246,1),(333,1),(336,1)}
       288:{3,5,6}:{(238,1),(239,1),(247,1),(337,1),(338,1)}
       289:{3,4,6}:{(239,1),(240,1),(334,1),(337,1),(338,1)}
       290:{3,4,5,7}:{(240,1),(241,1),(249,1),(335,1),(338,1),(339,1),(340,1),(347,1),(415,1)}
       291:{3,4,6}:{(241,1),(250,1),(336,1),(340,1),(452,1)}
       292:{2,3,7}:{(242,1),(243,1),(341,1),(443,1)}
       293:{2,4,6}:{(242,1),(244,1),(330,1),(341,1),(342,1),(351,1),(396,1),(416,1),(420,1),(439,1)}
       294:{1,3,4,7}:{(243,1),(244,1),(245,1),(259,1),(321,1),(332,1),(341,1),(343,1),(404,1),(411,1),(421,1),(440,1),(443,1)}
       295:{1,3,5}:{(244,1),(246,1),(260,1),(322,1),(333,1),(342,1),(405,1),(409,1),(441,1)}
       296:{2,3,5,7}:{(245,1),(246,1),(249,1),(261,1),(323,1),(335,1),(343,1),(345,1)}
       297:{2,3,5,6}:{(246,1),(250,1),(262,1),(324,1),(336,1),(344,1),(345,1),(346,1),(353,1),(398,1),(412,1)}
       298:{4,7}:{(247,1),(337,1)}
       299:{3,5,7}:{(248,1),(251,1),(338,1),(347,1),(348,1),(441,1)}
       300:{3,6}:{(249,1),(252,1)}
       301:{3,5,7}:{(250,1),(253,1),(340,1),(349,1),(443,1)}
       302:{2,5,6}:{(251,1),(252,1),(265,1),(327,1),(348,1)}
       303:{2,4,6,7}:{(252,1),(253,1),(266,1),(328,1),(349,1),(350,1),(358,1),(403,1),(419,1)}
       304:{2,3}:{(254,1),(351,1)}
       305:{1,3,4}:{(254,1),(255,1),(256,1),(351,1),(352,1)}
       306:{2,3,5}:{(255,1),(257,1),(352,1),(353,1),(405,1)}
       307:{1,4,5}:{(256,1),(257,1),(260,1),(352,1),(354,1)}
       308:{2,4,6}:{(257,1),(258,1),(262,1),(353,1),(354,1),(355,1),(420,1)}
       309:{1,3,4,7}:{(258,1),(264,1),(340,1),(355,1),(411,1),(421,1),(443,1)}
       310:{1,5,7}:{(259,1),(260,1),(261,1),(356,1)}
       311:{1,5,6}:{(260,1),(262,1),(354,1),(356,1),(357,1)}
       312:{2,6}:{(261,1),(263,1),(356,1)}
       313:{2,5,7}:{(262,1),(264,1),(355,1),(357,1),(358,1)}
       314:{1,3,6,7}:{(263,1),(264,1),(266,1),(349,1),(358,1)}
       315:{1,5,6,7}:{(265,1),(266,1),(350,1),(446,1)}
       316:{1,3}:{(267,1),(268,1),(359,1)}
       317:{2,3,4}:{(268,1),(270,1),(360,1),(361,1),(371,1)}
       318:{1,4}:{(269,1),(270,1)}
       319:{2,4,5}:{(270,1),(271,1),(275,1),(361,1),(362,1),(363,1),(422,1)}
       320:{1,3,4,6}:{(271,1),(277,1),(291,1),(363,1),(364,1),(377,1),(423,1),(429,1)}
       321:{1,4,7}:{(272,1),(273,1),(274,1),(365,1)}
       322:{1,5}:{(273,1),(275,1)}
       323:{2,5,7}:{(274,1),(275,1),(276,1),(365,1),(367,1)}
       324:{2,5,6}:{(275,1),(277,1),(363,1),(366,1),(367,1),(368,1)}
       325:{1,3,6}:{(276,1),(279,1),(300,1),(367,1)}
       326:{1,3,5,7}:{(277,1),(280,1),(301,1),(364,1),(368,1),(369,1)}
       327:{1,5,6}:{(278,1),(279,1),(302,1)}
       328:{1,4,6,7}:{(279,1),(280,1),(303,1),(369,1),(370,1),(395,1)}
       329:{2,3,5,7}:{(281,1),(283,1),(292,1),(372,1),(373,1),(384,1),(428,1),(430,1)}
       330:{2,4}:{(281,1),(284,1),(371,1)}
       331:{1,3,6}:{(282,1),(283,1),(285,1),(372,1),(375,1)}
       332:{1,4,7}:{(283,1),(284,1),(286,1),(373,1),(375,1)}
       333:{1,4,5}:{(284,1),(287,1),(295,1),(374,1),(377,1),(448,1)}
       334:{2,4,6}:{(285,1),(286,1),(289,1),(375,1),(378,1)}
       335:{2,4,5,7}:{(286,1),(287,1),(290,1),(296,1),(376,1),(378,1),(379,1),(380,1),(435,1)}
       336:{2,4,6}:{(287,1),(291,1),(297,1),(377,1),(380,1)}
       337:{4,6}:{(288,1),(298,1),(381,1)}
       338:{3,5}:{(289,1),(378,1),(381,1)}
       339:{3,4,6}:{(290,1),(300,1),(379,1),(382,1),(389,1)}
       340:{3,4,7}:{(291,1),(301,1),(380,1),(454,1)}
       341:{2,4,7}:{(292,1),(293,1),(294,1),(384,1),(438,1),(447,1)}
       342:{2,5}:{(293,1),(295,1)}
       343:{1,3,5,7}:{(294,1),(295,1),(296,1),(310,1),(365,1),(376,1),(384,1),(386,1),(428,1)}
       344:{1,3,5,6}:{(295,1),(297,1),(311,1),(366,1),(377,1),(385,1),(386,1),(387,1),(392,1),(423,1),(429,1),(433,1),(449,1)}
       345:{2,3,6}:{(296,1),(300,1),(312,1),(367,1),(379,1),(386,1)}
       346:{2,3,5,7}:{(297,1),(301,1),(313,1),(368,1),(380,1),(387,1),(388,1),(393,1),(424,1),(435,1)}
       347:{4,5,7}:{(298,1),(299,1),(381,1),(389,1),(448,1),(454,1)}
       348:{3,5,6}:{(299,1),(300,1),(302,1),(389,1)}
       349:{3,6,7}:{(300,1),(301,1),(303,1)}
       350:{2,5,6,7}:{(302,1),(303,1),(315,1),(370,1),(390,1),(435,1),(451,1)}
       351:{2,4}:{(304,1),(305,1),(391,1)}
       352:{1,3,5}:{(305,1),(306,1),(307,1),(391,1),(392,1)}
       353:{2,3,6}:{(306,1),(308,1),(392,1),(393,1),(429,1)}
       354:{1,4,6}:{(307,1),(308,1),(311,1),(392,1),(394,1)}
       355:{2,4,7}:{(308,1),(309,1),(313,1),(393,1),(394,1),(438,1)}
       356:{1,6}:{(310,1),(312,1)}
       357:{1,5,7}:{(311,1),(313,1),(394,1),(395,1)}
       358:{2,6,7}:{(312,1),(313,1),(314,1),(395,1)}
       359:{2,3}:{(316,1),(396,1)}
       360:{1,3,4}:{(316,1),(317,1),(318,1),(396,1),(397,1)}
       361:{2,3,5}:{(317,1),(319,1),(397,1),(398,1),(405,1)}
       362:{1,4,5}:{(318,1),(319,1),(322,1),(397,1),(399,1)}
       363:{2,4,6}:{(319,1),(320,1),(324,1),(398,1),(399,1),(400,1),(439,1)}
       364:{1,3,4,7}:{(320,1),(326,1),(340,1),(400,1),(411,1),(440,1),(443,1)}
       365:{1,5,7}:{(321,1),(322,1),(323,1),(401,1)}
       366:{1,5,6}:{(322,1),(324,1),(399,1),(401,1),(402,1)}
       367:{2,6}:{(323,1),(325,1),(401,1)}
       368:{2,5,7}:{(324,1),(326,1),(400,1),(402,1),(403,1)}
       369:{1,3,6,7}:{(325,1),(326,1),(328,1),(349,1),(403,1)}
       370:{1,5,6,7}:{(327,1),(328,1),(350,1),(446,1)}
       371:{3,4}:{(330,1),(405,1)}
       372:{2,3,6}:{(329,1),(331,1),(406,1),(416,1),(442,1)}
       373:{2,4,7}:{(329,1),(330,1),(332,1),(404,1),(406,1)}
       374:{2,4,5}:{(330,1),(333,1),(342,1),(405,1),(408,1)}
       375:{1,4,6}:{(331,1),(332,1),(334,1),(406,1),(409,1)}
       376:{1,4,5,7}:{(332,1),(333,1),(335,1),(343,1),(407,1),(409,1),(410,1),(411,1),(446,1)}
       377:{1,4,6}:{(333,1),(336,1),(344,1),(408,1),(411,1),(452,1)}
       378:{2,5}:{(334,1),(338,1),(409,1)}
       379:{2,4,6}:{(335,1),(339,1),(345,1),(410,1),(412,1)}
       380:{2,4,7}:{(336,1),(340,1),(346,1),(411,1)}
       381:{4,5}:{(337,1),(338,1)}
       382:{3,5,6}:{(338,1),(339,1),(412,1),(414,1),(415,1)}
       383:{3,4,6,7}:{(339,1),(340,1),(349,1),(413,1),(415,1),(419,1)}
       384:{2,5,7}:{(341,1),(342,1),(343,1),(416,1)}
       385:{2,5,6}:{(342,1),(344,1),(408,1),(416,1),(417,1),(420,1),(439,1)}
       386:{1,3,6}:{(343,1),(345,1),(356,1),(401,1),(410,1),(416,1),(442,1)}
       387:{1,3,5,7}:{(344,1),(346,1),(357,1),(402,1),(411,1),(417,1),(418,1),(421,1),(440,1),(443,1),(446,1),(453,1)}
       388:{2,3,6,7}:{(345,1),(346,1),(349,1),(358,1),(403,1),(413,1),(418,1)}
       389:{4,6}:{(347,1),(348,1)}
       390:{3,5,6,7}:{(348,1),(349,1),(350,1),(415,1),(419,1),(453,1)}
       391:{2,5}:{(351,1),(352,1),(420,1)}
       392:{1,3,6}:{(352,1),(353,1),(354,1),(420,1),(421,1)}
       393:{2,3,7}:{(353,1),(355,1),(421,1),(443,1)}
       394:{1,4,7}:{(354,1),(355,1),(357,1),(421,1)}
       395:{1,6,7}:{(356,1),(357,1),(358,1)}
       396:{2,4}:{(359,1),(360,1),(422,1)}
       397:{1,3,5}:{(360,1),(361,1),(362,1),(422,1),(423,1)}
       398:{2,3,6}:{(361,1),(363,1),(423,1),(424,1),(429,1)}
       399:{1,4,6}:{(362,1),(363,1),(366,1),(423,1),(425,1)}
       400:{2,4,7}:{(363,1),(364,1),(368,1),(424,1),(425,1),(447,1)}
       401:{1,6}:{(365,1),(367,1)}
       402:{1,5,7}:{(366,1),(368,1),(425,1),(426,1)}
       403:{2,6,7}:{(367,1),(368,1),(369,1),(426,1)}
       404:{3,4,7}:{(371,1),(373,1),(427,1),(428,1),(454,1)}
       405:{3,5}:{(371,1),(374,1),(429,1)}
       406:{2,4,6}:{(372,1),(373,1),(375,1),(427,1),(430,1)}
       407:{2,4,5,7}:{(373,1),(374,1),(376,1),(384,1),(428,1),(430,1),(431,1),(432,1),(448,1),(451,1),(454,1)}
       408:{2,4,6}:{(374,1),(377,1),(385,1),(429,1),(432,1)}
       409:{1,5}:{(375,1),(378,1),(430,1)}
       410:{1,4,6}:{(376,1),(379,1),(386,1),(431,1),(433,1)}
       411:{1,4,7}:{(377,1),(380,1),(387,1),(432,1),(454,1)}
       412:{2,5,6}:{(378,1),(379,1),(382,1),(433,1),(435,1)}
       413:{2,4,6,7}:{(379,1),(380,1),(383,1),(388,1),(434,1),(435,1)}
       414:{4,5,6}:{(381,1),(382,1),(389,1),(436,1)}
       415:{3,5,7}:{(382,1),(383,1),(435,1),(436,1)}
       416:{2,6}:{(384,1),(386,1)}
       417:{2,5,7}:{(385,1),(387,1),(432,1),(437,1),(438,1),(447,1)}
       418:{1,3,6,7}:{(386,1),(387,1),(388,1),(395,1),(426,1),(434,1),(437,1),(450,1)}
       419:{4,6,7}:{(389,1),(390,1),(436,1),(454,1)}
       420:{2,6}:{(391,1),(392,1),(438,1)}
       421:{1,3,7}:{(392,1),(393,1),(394,1),(438,1)}
       422:{2,5}:{(396,1),(397,1),(439,1)}
       423:{1,3,6}:{(397,1),(398,1),(399,1),(439,1),(440,1)}
       424:{2,3,7}:{(398,1),(400,1),(440,1),(443,1)}
       425:{1,4,7}:{(399,1),(400,1),(402,1),(440,1)}
       426:{1,6,7}:{(401,1),(402,1),(403,1)}
       427:{3,4,6}:{(404,1),(406,1),(441,1),(442,1),(452,1)}
       428:{3,5,7}:{(404,1),(405,1),(407,1),(441,1),(442,1),(443,1)}
       429:{3,6}:{(405,1),(408,1),(443,1)}
       430:{2,5}:{(406,1),(409,1),(441,1)}
       431:{2,4,6}:{(407,1),(410,1),(416,1),(442,1),(444,1),(452,1)}
       432:{2,4,7}:{(408,1),(411,1),(417,1),(443,1)}
       433:{1,5,6}:{(409,1),(410,1),(412,1),(444,1),(446,1)}
       434:{1,4,6,7}:{(410,1),(411,1),(413,1),(418,1),(445,1),(446,1)}
       435:{2,5,7}:{(412,1),(413,1),(415,1),(446,1)}
       436:{4,5,7}:{(414,1),(415,1),(419,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1)}
       438:{2,7}:{(420,1),(421,1)}
       439:{2,6}:{(422,1),(423,1),(447,1)}
       440:{1,3,7}:{(423,1),(424,1),(425,1),(447,1)}
       441:{3,5}:{(427,1),(430,1),(448,1)}
       442:{3,6}:{(428,1),(431,1)}
       443:{3,7}:{(429,1),(432,1)}
       444:{2,5,6}:{(430,1),(431,1),(433,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(431,1),(432,1),(434,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,7}:{(433,1),(434,1),(435,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 315 :   0:{1,5,6,7}:{(1,1),(2,1),(92,1),(183,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(64,1),(126,1),(213,1)}
         2:{1,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(59,1),(226,1)}
         3:{1,4,5,6}:{(7,1),(8,1),(10,1),(61,1),(71,1),(123,1),(147,1),(226,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(92,1),(240,1)}
         5:{3,5,6,7}:{(1,1),(13,1),(15,1),(41,1),(163,1),(252,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(18,1),(37,1),(259,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(14,1),(16,1),(20,1),(39,1),(40,1),(47,1),(90,1),(101,1),(160,1),(174,1),(247,1),(259,1)}
         8:{1,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(84,1),(92,1),(97,1)}
         9:{1,3,6,7}:{(2,1),(15,1),(17,1),(18,1),(273,1)}
        10:{1,3,5,6}:{(3,1),(16,1),(17,1),(19,1),(20,1),(186,1),(273,1)}
        11:{1,4,6,7}:{(4,1),(6,1),(21,1),(22,1),(33,1),(286,1)}
        12:{1,4,5,6}:{(7,1),(21,1),(23,1),(35,1),(71,1),(123,1),(198,1),(286,1)}
        13:{4,6,7}:{(5,1),(24,1),(204,1),(299,1)}
        14:{2,4,5,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(26,1),(32,1),(58,1),(64,1),(67,1),(126,1),(131,1),(204,1)}
        15:{3,6,7}:{(6,1),(26,1),(308,1)}
        16:{3,5,6}:{(7,1),(26,1),(28,1),(135,1),(216,1),(308,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(10,1),(26,1),(31,1),(32,1)}
        18:{2,6,7}:{(9,1),(32,1),(33,1),(321,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(30,1),(31,1),(34,1),(71,1),(79,1),(135,1)}
        20:{2,5,6}:{(10,1),(32,1),(34,1),(35,1),(229,1),(321,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(14,1),(36,1),(51,1),(92,1),(97,1)}
        22:{1,3,6,7}:{(11,1),(15,1),(36,1),(37,1),(332,1)}
        23:{1,3,5,6}:{(12,1),(16,1),(36,1),(38,1),(39,1),(243,1),(332,1)}
        24:{4,5,7}:{(13,1),(40,1),(41,1)}
        25:{3,4,6,7}:{(13,1),(15,1),(41,1),(42,1),(44,1),(89,1)}
        26:{3,5,7}:{(14,1),(15,1),(16,1),(44,1),(168,1)}
        27:{2,3,6,7}:{(15,1),(18,1),(37,1),(42,1),(45,1),(46,1),(158,1)}
        28:{3,4,6}:{(16,1),(43,1),(44,1),(47,1),(247,1)}
        29:{2,3,5,6}:{(16,1),(20,1),(39,1),(45,1),(47,1),(48,1),(53,1),(86,1),(90,1),(94,1),(158,1)}
        30:{1,3,4,5}:{(19,1),(43,1),(49,1),(95,1),(104,1),(166,1),(178,1),(186,1)}
        31:{1,3,4,7}:{(17,1),(19,1),(44,1),(50,1),(97,1),(106,1),(168,1)}
        32:{2,5,7}:{(17,1),(18,1),(20,1),(50,1),(51,1)}
        33:{1,6,7}:{(18,1),(51,1),(362,1)}
        34:{2,4,6}:{(19,1),(20,1),(49,1),(50,1),(53,1),(54,1),(110,1)}
        35:{1,5,6}:{(20,1),(51,1),(54,1),(275,1),(362,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(23,1),(26,1),(57,1),(58,1)}
        37:{2,6,7}:{(22,1),(58,1),(59,1),(372,1)}
        38:{1,3,4,6}:{(23,1),(28,1),(56,1),(57,1),(60,1),(71,1),(119,1),(135,1)}
        39:{2,5,6}:{(23,1),(58,1),(60,1),(61,1),(289,1),(372,1)}
        40:{4,5,6}:{(24,1),(62,1),(299,1),(448,1)}
        41:{3,5,7}:{(24,1),(25,1),(62,1),(64,1)}
        42:{2,4,6,7}:{(25,1),(27,1),(64,1),(65,1),(67,1),(122,1)}
        43:{3,4,5}:{(28,1),(66,1),(216,1),(295,1),(385,1)}
        44:{3,4,7}:{(26,1),(28,1),(67,1),(204,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(29,1),(32,1),(58,1),(64,1),(67,1),(68,1),(75,1),(115,1)}
        46:{1,3,6,7}:{(27,1),(33,1),(59,1),(65,1),(68,1),(69,1),(127,1),(199,1)}
        47:{2,4,6}:{(28,1),(29,1),(66,1),(67,1),(71,1)}
        48:{1,3,5,6}:{(29,1),(35,1),(61,1),(68,1),(71,1),(72,1),(79,1),(119,1),(123,1),(128,1),(135,1),(199,1),(201,1)}
        49:{2,4,5}:{(30,1),(34,1),(73,1),(74,1),(138,1),(221,1),(229,1)}
        50:{2,4,7}:{(31,1),(32,1),(34,1),(75,1),(76,1),(140,1)}
        51:{1,5,7}:{(32,1),(33,1),(35,1),(76,1)}
        52:{1,2,6,7}:{(33,1),(69,1),(77,1),(78,1),(292,1),(321,1),(398,1),(437,1)}
        53:{2,3,6}:{(34,1),(73,1),(75,1),(79,1),(135,1)}
        54:{1,4,6}:{(34,1),(35,1),(74,1),(76,1),(79,1)}
        55:{1,2,5,6}:{(35,1),(72,1),(77,1),(80,1),(81,1),(195,1),(206,1),(229,1),(292,1),(321,1),(323,1),(392,1)}
        56:{1,3,4,5}:{(38,1),(43,1),(82,1),(95,1),(149,1),(166,1),(235,1),(243,1)}
        57:{1,3,4,7}:{(36,1),(38,1),(44,1),(83,1),(97,1),(151,1),(168,1)}
        58:{2,5,7}:{(36,1),(37,1),(39,1),(83,1),(84,1)}
        59:{1,6,7}:{(37,1),(84,1),(404,1)}
        60:{2,4,6}:{(38,1),(39,1),(82,1),(83,1),(86,1),(87,1),(155,1)}
        61:{1,5,6}:{(39,1),(84,1),(87,1),(334,1),(404,1)}
        62:{3,5,6}:{(40,1),(41,1),(89,1),(90,1),(441,1)}
        63:{3,4,5,7}:{(41,1),(43,1),(44,1),(89,1),(91,1),(251,1),(258,1),(411,1),(441,1)}
        64:{2,5,7}:{(41,1),(42,1),(90,1),(92,1)}
        65:{1,4,6,7}:{(42,1),(46,1),(92,1),(93,1),(97,1),(159,1)}
        66:{2,4,5}:{(43,1),(47,1),(94,1),(95,1),(346,1)}
        67:{2,4,7}:{(44,1),(45,1),(47,1),(97,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(48,1),(51,1),(84,1),(92,1),(97,1),(98,1),(106,1),(151,1),(163,1),(168,1)}
        69:{2,6,7}:{(46,1),(98,1),(245,1)}
        70:{2,3,4,6}:{(47,1),(53,1),(86,1),(94,1),(96,1),(100,1),(103,1),(148,1),(158,1),(173,1),(185,1),(242,1),(261,1),(346,1),(407,1)}
        71:{1,4,6}:{(47,1),(48,1),(95,1),(97,1),(101,1),(247,1)}
        72:{2,5,6}:{(48,1),(98,1),(101,1),(110,1),(155,1),(165,1),(245,1)}
        73:{2,3,5}:{(49,1),(53,1),(103,1),(104,1),(166,1)}
        74:{1,4,5}:{(49,1),(54,1),(104,1),(268,1),(275,1)}
        75:{2,3,7}:{(50,1),(53,1),(106,1),(168,1)}
        76:{1,4,7}:{(50,1),(51,1),(54,1),(106,1)}
        77:{1,2,5,7}:{(51,1),(52,1),(55,1),(98,1),(107,1),(108,1),(236,1),(272,1),(364,1),(420,1)}
        78:{1,3,6,7}:{(52,1),(99,1),(108,1),(109,1),(273,1),(337,1),(404,1)}
        79:{1,3,6}:{(53,1),(54,1),(104,1),(106,1),(110,1)}
        80:{1,2,4,6}:{(54,1),(55,1),(101,1),(105,1),(107,1),(110,1),(111,1),(112,1),(185,1),(360,1),(416,1),(421,1)}
        81:{1,3,5,6}:{(55,1),(102,1),(108,1),(111,1),(112,1),(183,1),(186,1),(241,1),(253,1),(273,1),(334,1),(337,1),(404,1),(408,1)}
        82:{2,4,5}:{(56,1),(60,1),(113,1),(114,1),(189,1),(281,1),(289,1)}
        83:{2,4,7}:{(57,1),(58,1),(60,1),(115,1),(116,1),(191,1)}
        84:{1,5,7}:{(58,1),(59,1),(61,1),(116,1)}
        85:{1,2,6,7}:{(59,1),(69,1),(117,1),(118,1),(292,1),(372,1),(427,1),(437,1)}
        86:{2,3,6}:{(60,1),(113,1),(115,1),(119,1),(135,1)}
        87:{1,4,6}:{(60,1),(61,1),(114,1),(116,1),(119,1)}
        88:{1,2,5,6}:{(61,1),(72,1),(117,1),(120,1),(121,1),(144,1),(206,1),(289,1),(292,1),(372,1),(374,1),(392,1)}
        89:{3,4,6}:{(62,1),(63,1),(122,1),(299,1),(308,1)}
        90:{2,5,6}:{(62,1),(64,1),(122,1),(123,1),(429,1)}
        91:{2,4,5,7}:{(63,1),(64,1),(66,1),(67,1),(122,1),(124,1),(125,1),(381,1),(429,1)}
        92:{1,5,7}:{(64,1),(65,1),(123,1),(126,1)}
        93:{2,4,6,7}:{(65,1),(69,1),(126,1),(127,1),(131,1),(200,1),(204,1)}
        94:{2,3,5}:{(66,1),(70,1),(128,1),(216,1),(229,1),(289,1),(429,1)}
        95:{1,4,5}:{(66,1),(71,1),(128,1),(129,1),(295,1),(302,1)}
        96:{2,3,4,7}:{(67,1),(70,1),(75,1),(115,1),(124,1),(130,1),(211,1),(224,1),(284,1),(305,1),(381,1)}
        97:{1,4,7}:{(67,1),(68,1),(71,1),(131,1),(204,1)}
        98:{2,5,7}:{(68,1),(69,1),(72,1),(131,1),(140,1),(191,1)}
        99:{2,3,6,7}:{(69,1),(78,1),(118,1),(127,1),(132,1),(133,1),(293,1),(308,1),(321,1),(372,1),(376,1),(437,1),(451,1)}
       100:{1,3,4,6}:{(70,1),(71,1),(79,1),(119,1),(128,1),(130,1),(134,1),(135,1),(137,1),(188,1),(199,1),(208,1),(214,1),(228,1),(288,1),(294,1),(302,1),(377,1)}
       101:{2,4,6}:{(71,1),(72,1),(129,1),(131,1),(135,1)}
       102:{2,3,5,6}:{(72,1),(81,1),(121,1),(132,1),(135,1),(136,1),(145,1),(196,1),(201,1),(207,1),(213,1),(216,1),(229,1),(289,1),(293,1),(301,1),(308,1),(321,1),(372,1),(376,1),(378,1),(392,1),(429,1),(435,1),(449,1)}
       103:{2,3,4}:{(73,1),(137,1),(208,1),(221,1),(314,1)}
       104:{1,3,5}:{(73,1),(74,1),(79,1),(137,1),(138,1)}
       105:{1,2,4,5}:{(74,1),(80,1),(129,1),(138,1),(139,1),(147,1),(206,1),(218,1),(221,1),(229,1),(302,1),(317,1),(386,1),(394,1)}
       106:{1,3,7}:{(75,1),(76,1),(79,1),(140,1)}
       107:{1,2,4,7}:{(76,1),(77,1),(80,1),(131,1),(140,1),(141,1),(142,1),(224,1),(397,1),(436,1),(438,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(81,1),(132,1),(141,1),(142,1),(143,1),(283,1),(371,1)}
       109:{1,4,6,7}:{(78,1),(133,1),(142,1),(143,1),(226,1),(377,1)}
       110:{2,6}:{(79,1),(138,1),(140,1)}
       111:{1,3,6}:{(80,1),(135,1),(139,1),(141,1),(145,1),(435,1)}
       112:{1,4,6}:{(81,1),(136,1),(142,1),(147,1),(302,1)}
       113:{2,3,5}:{(82,1),(86,1),(148,1),(149,1),(166,1)}
       114:{1,4,5}:{(82,1),(87,1),(149,1),(327,1),(334,1)}
       115:{2,3,7}:{(83,1),(86,1),(151,1),(168,1)}
       116:{1,4,7}:{(83,1),(84,1),(87,1),(151,1)}
       117:{1,2,5,7}:{(84,1),(85,1),(88,1),(98,1),(152,1),(153,1),(179,1),(331,1),(406,1),(420,1)}
       118:{1,3,6,7}:{(85,1),(99,1),(153,1),(154,1),(332,1),(337,1),(362,1)}
       119:{1,3,6}:{(86,1),(87,1),(149,1),(151,1),(155,1)}
       120:{1,2,4,6}:{(87,1),(88,1),(101,1),(150,1),(152,1),(155,1),(156,1),(157,1),(242,1),(402,1),(416,1),(439,1)}
       121:{1,3,5,6}:{(88,1),(102,1),(153,1),(156,1),(157,1),(184,1),(240,1),(243,1),(253,1),(275,1),(332,1),(337,1),(362,1),(408,1)}
       122:{2,4,6}:{(89,1),(90,1),(91,1),(158,1),(159,1)}
       123:{1,5,6}:{(90,1),(92,1),(159,1),(160,1),(408,1)}
       124:{2,3,5,7}:{(91,1),(94,1),(96,1),(158,1),(161,1),(258,1),(272,1),(331,1)}
       125:{1,4,5,7}:{(91,1),(92,1),(95,1),(97,1),(159,1),(161,1),(162,1),(342,1),(408,1)}
       126:{2,5,7}:{(92,1),(93,1),(160,1),(163,1)}
       127:{3,6,7}:{(93,1),(163,1),(168,1),(246,1)}
       128:{1,3,5}:{(94,1),(95,1),(100,1),(165,1),(166,1),(275,1),(334,1),(339,1),(408,1)}
       129:{2,4,5}:{(95,1),(101,1),(165,1),(166,1),(254,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(100,1),(106,1),(151,1),(161,1),(167,1),(168,1),(250,1),(256,1),(271,1),(330,1),(342,1)}
       131:{2,4,7}:{(97,1),(98,1),(101,1),(168,1)}
       132:{2,3,5,7}:{(98,1),(99,1),(102,1),(108,1),(153,1),(163,1),(168,1),(169,1),(170,1),(180,1),(237,1),(258,1),(272,1),(331,1),(420,1),(446,1),(453,1)}
       133:{2,4,6,7}:{(99,1),(109,1),(154,1),(164,1),(169,1),(170,1),(259,1),(338,1),(407,1)}
       134:{2,4,6}:{(100,1),(110,1),(155,1),(165,1),(167,1),(172,1),(175,1),(232,1),(245,1),(254,1)}
       135:{3,6}:{(101,1),(166,1),(168,1)}
       136:{2,4,6}:{(102,1),(112,1),(157,1),(169,1),(173,1),(174,1),(247,1),(254,1),(346,1),(452,1)}
       137:{1,3,4}:{(103,1),(104,1),(175,1),(266,1),(268,1)}
       138:{2,5}:{(104,1),(110,1),(175,1)}
       139:{1,3,5}:{(105,1),(111,1),(166,1),(177,1),(178,1),(266,1),(415,1)}
       140:{2,7}:{(106,1),(110,1)}
       141:{1,3,7}:{(107,1),(111,1),(168,1),(180,1),(446,1)}
       142:{1,4,7}:{(108,1),(112,1),(169,1)}
       143:{1,5,7}:{(109,1),(170,1),(183,1),(408,1)}
       144:{1,2,6}:{(110,1),(176,1),(179,1),(184,1),(421,1)}
       145:{2,3,6}:{(110,1),(111,1),(177,1),(180,1),(184,1),(185,1),(421,1)}
       146:{1,3,4,6}:{(111,1),(112,1),(173,1),(178,1),(181,1),(185,1),(186,1),(273,1)}
       147:{1,4,5}:{(112,1),(174,1),(186,1),(334,1),(408,1)}
       148:{2,3,4}:{(113,1),(188,1),(208,1),(281,1),(365,1)}
       149:{1,3,5}:{(113,1),(114,1),(119,1),(188,1),(189,1)}
       150:{1,2,4,5}:{(114,1),(120,1),(129,1),(189,1),(190,1),(198,1),(206,1),(278,1),(281,1),(289,1),(302,1),(368,1),(386,1),(423,1)}
       151:{1,3,7}:{(115,1),(116,1),(119,1),(191,1)}
       152:{1,2,4,7}:{(116,1),(117,1),(120,1),(131,1),(191,1),(192,1),(193,1),(284,1),(426,1),(436,1),(447,1)}
       153:{1,3,5,7}:{(117,1),(118,1),(121,1),(132,1),(192,1),(193,1),(194,1),(223,1),(320,1)}
       154:{1,4,6,7}:{(118,1),(133,1),(193,1),(194,1),(286,1),(377,1)}
       155:{2,6}:{(119,1),(189,1),(191,1)}
       156:{1,3,6}:{(120,1),(135,1),(190,1),(192,1),(196,1),(435,1)}
       157:{1,4,6}:{(121,1),(136,1),(193,1),(198,1),(302,1)}
       158:{2,3,6}:{(122,1),(124,1),(199,1),(308,1),(321,1),(372,1)}
       159:{1,4,6}:{(122,1),(123,1),(125,1),(199,1),(200,1)}
       160:{2,5,6}:{(123,1),(126,1),(200,1),(201,1),(378,1)}
       161:{1,3,5,7}:{(124,1),(125,1),(128,1),(130,1),(199,1),(202,1),(203,1),(320,1),(371,1)}
       162:{2,4,5,7}:{(125,1),(126,1),(129,1),(131,1),(200,1),(202,1),(203,1),(204,1),(295,1),(297,1),(378,1)}
       163:{3,5,7}:{(126,1),(127,1),(201,1),(204,1)}
       164:{3,4,6,7}:{(127,1),(133,1),(204,1),(205,1),(211,1),(294,1),(299,1),(308,1),(428,1),(451,1),(454,1)}
       165:{2,5}:{(128,1),(134,1)}
       166:{3,5}:{(129,1),(135,1),(208,1)}
       167:{2,4,7}:{(130,1),(134,1),(140,1),(191,1),(202,1),(210,1)}
       168:{3,7}:{(131,1),(135,1)}
       169:{2,4,7}:{(132,1),(136,1),(142,1),(193,1),(204,1),(211,1),(454,1)}
       170:{2,5,7}:{(133,1),(143,1),(194,1),(205,1),(213,1),(378,1),(429,1)}
       171:{1,2,4,6}:{(134,1),(144,1),(195,1),(206,1),(209,1),(214,1),(218,1),(228,1),(278,1),(288,1),(292,1),(302,1),(310,1),(377,1)}
       172:{2,3,6}:{(134,1),(135,1),(207,1),(210,1),(214,1),(219,1),(279,1)}
       173:{3,4,6}:{(135,1),(136,1),(208,1),(211,1),(216,1),(308,1),(385,1),(435,1)}
       174:{2,4,5}:{(136,1),(147,1),(198,1),(216,1),(229,1),(289,1),(295,1),(378,1),(429,1),(448,1)}
       175:{2,4}:{(137,1),(138,1),(219,1)}
       176:{1,2,5}:{(138,1),(144,1),(218,1),(220,1),(394,1)}
       177:{2,3,5}:{(138,1),(139,1),(145,1),(219,1),(220,1),(221,1),(229,1),(314,1),(394,1)}
       178:{1,3,4}:{(139,1),(208,1),(221,1),(302,1),(385,1)}
       179:{1,2,7}:{(140,1),(144,1),(223,1),(438,1)}
       180:{2,3,7}:{(140,1),(141,1),(145,1),(223,1),(224,1),(438,1)}
       181:{1,3,4,7}:{(141,1),(142,1),(146,1),(211,1),(224,1),(225,1)}
       182:{1,4,5,7}:{(142,1),(143,1),(147,1),(212,1),(225,1),(226,1),(371,1)}
       183:{1,5,6}:{(143,1),(213,1),(226,1)}
       184:{1,3,6}:{(144,1),(145,1),(220,1),(223,1),(228,1)}
       185:{2,4,6}:{(145,1),(146,1),(221,1),(224,1),(228,1),(229,1),(321,1)}
       186:{1,3,5}:{(146,1),(147,1),(216,1),(229,1)}
       187:{1,4,5,6}:{(147,1),(217,1),(226,1),(230,1),(231,1),(374,1),(387,1),(430,1)}
       188:{1,3,4}:{(148,1),(149,1),(232,1),(325,1),(327,1)}
       189:{2,5}:{(149,1),(155,1),(232,1)}
       190:{1,3,5}:{(150,1),(156,1),(166,1),(234,1),(235,1),(325,1),(415,1)}
       191:{2,7}:{(151,1),(155,1)}
       192:{1,3,7}:{(152,1),(156,1),(168,1),(237,1),(446,1)}
       193:{1,4,7}:{(153,1),(157,1),(169,1)}
       194:{1,5,7}:{(154,1),(170,1),(240,1),(408,1)}
       195:{1,2,6}:{(155,1),(233,1),(236,1),(241,1),(439,1)}
       196:{2,3,6}:{(155,1),(156,1),(234,1),(237,1),(241,1),(242,1),(439,1)}
       197:{1,3,4,6}:{(156,1),(157,1),(173,1),(235,1),(238,1),(242,1),(243,1),(332,1)}
       198:{1,4,5}:{(157,1),(174,1),(243,1),(275,1),(408,1)}
       199:{1,3,6}:{(158,1),(159,1),(161,1),(245,1),(246,1),(362,1),(404,1)}
       200:{2,4,6}:{(159,1),(160,1),(162,1),(245,1),(246,1),(247,1)}
       201:{3,5,6}:{(160,1),(163,1),(246,1),(247,1),(339,1)}
       202:{2,5,7}:{(161,1),(165,1),(167,1),(245,1)}
       203:{3,5,7}:{(162,1),(166,1),(168,1),(246,1),(250,1),(339,1)}
       204:{4,7}:{(163,1),(247,1)}
       205:{3,5,7}:{(164,1),(170,1),(251,1),(252,1),(339,1),(441,1)}
       206:{1,2,5}:{(165,1),(171,1),(253,1),(275,1),(334,1),(354,1),(408,1)}
       207:{2,3,5}:{(165,1),(166,1),(172,1),(253,1),(254,1)}
       208:{3,4}:{(166,1),(254,1)}
       209:{1,2,4,7}:{(167,1),(171,1),(179,1),(236,1),(248,1),(256,1),(271,1),(330,1),(342,1),(350,1)}
       210:{2,3,7}:{(167,1),(168,1),(172,1),(256,1)}
       211:{3,4,7}:{(168,1),(169,1),(173,1),(258,1),(446,1)}
       212:{2,4,5,7}:{(169,1),(170,1),(174,1),(182,1),(239,1),(251,1),(258,1),(259,1),(272,1),(331,1)}
       213:{2,5,6}:{(170,1),(183,1),(240,1),(252,1),(259,1)}
       214:{1,3,6}:{(171,1),(172,1),(253,1),(256,1),(261,1),(266,1),(325,1)}
       215:{2,3,4,6}:{(172,1),(173,1),(185,1),(242,1),(254,1),(257,1),(262,1),(263,1),(267,1),(326,1),(338,1),(348,1),(352,1),(359,1),(401,1)}
       216:{3,5}:{(173,1),(174,1)}
       217:{2,4,5,6}:{(174,1),(187,1),(244,1),(259,1),(264,1),(265,1),(276,1),(335,1),(340,1),(348,1),(409,1),(416,1),(442,1),(452,1)}
       218:{1,2,4}:{(175,1),(176,1),(266,1),(268,1),(357,1)}
       219:{2,3}:{(175,1),(266,1)}
       220:{1,3,5}:{(176,1),(177,1),(184,1),(266,1),(268,1),(275,1)}
       221:{2,4}:{(177,1),(178,1),(268,1)}
       222:{1,3,4,5}:{(178,1),(186,1),(255,1),(269,1),(270,1),(347,1),(358,1),(415,1)}
       223:{1,3,7}:{(179,1),(180,1),(184,1),(271,1)}
       224:{2,4,7}:{(180,1),(181,1),(185,1),(271,1),(272,1)}
       225:{1,3,5,7}:{(181,1),(182,1),(186,1),(258,1),(272,1),(273,1)}
       226:{1,4,6}:{(182,1),(183,1),(259,1),(273,1),(404,1)}
       227:{1,5,6,7}:{(183,1),(260,1),(274,1),(443,1)}
       228:{1,4,6}:{(184,1),(185,1),(268,1),(271,1),(275,1),(362,1)}
       229:{2,5}:{(185,1),(186,1),(275,1)}
       230:{1,3,5,6}:{(186,1),(187,1),(264,1),(270,1),(273,1),(276,1),(277,1)}
       231:{1,4,5,7}:{(187,1),(265,1),(274,1),(277,1),(406,1),(417,1),(443,1)}
       232:{2,4}:{(188,1),(189,1),(279,1)}
       233:{1,2,5}:{(189,1),(195,1),(278,1),(280,1),(423,1)}
       234:{2,3,5}:{(189,1),(190,1),(196,1),(279,1),(280,1),(281,1),(289,1),(365,1),(423,1)}
       235:{1,3,4}:{(190,1),(208,1),(281,1),(302,1),(385,1)}
       236:{1,2,7}:{(191,1),(195,1),(283,1),(447,1)}
       237:{2,3,7}:{(191,1),(192,1),(196,1),(283,1),(284,1),(447,1)}
       238:{1,3,4,7}:{(192,1),(193,1),(197,1),(211,1),(284,1),(285,1)}
       239:{1,4,5,7}:{(193,1),(194,1),(198,1),(212,1),(285,1),(286,1),(320,1)}
       240:{1,5,6}:{(194,1),(213,1),(286,1)}
       241:{1,3,6}:{(195,1),(196,1),(280,1),(283,1),(288,1)}
       242:{2,4,6}:{(196,1),(197,1),(281,1),(284,1),(288,1),(289,1),(372,1)}
       243:{1,3,5}:{(197,1),(198,1),(216,1),(289,1)}
       244:{1,4,5,6}:{(198,1),(217,1),(286,1),(290,1),(291,1),(323,1),(387,1),(430,1)}
       245:{2,6}:{(199,1),(202,1)}
       246:{3,6}:{(200,1),(203,1)}
       247:{4,6}:{(201,1),(204,1),(295,1)}
       248:{1,2,5,7}:{(202,1),(206,1),(209,1),(292,1),(296,1),(320,1),(371,1),(389,1)}
       249:{2,3,5,7}:{(202,1),(203,1),(207,1),(210,1),(293,1),(296,1),(297,1),(378,1)}
       250:{3,4,7}:{(203,1),(204,1),(208,1),(294,1),(297,1)}
       251:{4,5,7}:{(204,1),(205,1),(295,1),(299,1),(448,1),(454,1)}
       252:{3,5,6}:{(205,1),(213,1),(299,1),(308,1)}
       253:{1,3,5}:{(206,1),(207,1),(214,1),(301,1),(302,1)}
       254:{2,4}:{(207,1),(208,1),(302,1)}
       255:{3,4,5}:{(208,1),(216,1),(303,1),(304,1),(448,1)}
       256:{1,3,7}:{(209,1),(210,1),(214,1),(305,1)}
       257:{2,3,4,7}:{(210,1),(211,1),(215,1),(224,1),(284,1),(297,1),(306,1),(307,1),(388,1),(396,1),(425,1)}
       258:{3,5,7}:{(211,1),(212,1),(216,1),(308,1)}
       259:{2,4,6}:{(212,1),(213,1),(226,1),(286,1),(299,1),(308,1),(321,1),(372,1)}
       260:{2,5,6,7}:{(213,1),(227,1),(287,1),(300,1),(309,1),(431,1),(450,1)}
       261:{2,3,6}:{(214,1),(301,1),(305,1),(310,1),(314,1),(365,1),(435,1)}
       262:{1,3,4,6}:{(214,1),(215,1),(228,1),(288,1),(302,1),(306,1),(310,1),(311,1),(315,1),(366,1),(377,1),(385,1),(387,1),(390,1),(395,1),(424,1),(428,1),(435,1)}
       263:{2,3,5}:{(215,1),(216,1),(229,1),(289,1),(303,1),(311,1),(378,1)}
       264:{3,5,6}:{(216,1),(217,1),(304,1),(308,1),(313,1),(435,1)}
       265:{2,4,5,7}:{(217,1),(231,1),(291,1),(309,1),(313,1),(324,1),(375,1),(380,1),(388,1),(431,1),(436,1),(450,1),(454,1)}
       266:{1,3}:{(218,1),(219,1),(314,1)}
       267:{2,3,4}:{(219,1),(221,1),(315,1),(316,1),(385,1)}
       268:{1,4}:{(220,1),(221,1)}
       269:{2,4,5}:{(221,1),(222,1),(229,1),(316,1),(317,1),(318,1),(394,1)}
       270:{1,3,4,6}:{(222,1),(230,1),(304,1),(318,1),(319,1),(387,1),(395,1),(435,1)}
       271:{1,4,7}:{(223,1),(224,1),(228,1),(320,1)}
       272:{2,5,7}:{(224,1),(225,1),(229,1),(320,1),(321,1)}
       273:{1,3,6}:{(225,1),(226,1),(308,1),(321,1)}
       274:{1,4,6,7}:{(226,1),(227,1),(231,1),(309,1),(322,1),(427,1)}
       275:{1,5}:{(228,1),(229,1)}
       276:{2,5,6}:{(229,1),(230,1),(318,1),(321,1),(323,1),(324,1)}
       277:{1,3,5,7}:{(230,1),(231,1),(313,1),(319,1),(322,1),(324,1)}
       278:{1,2,4}:{(232,1),(233,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(232,1),(325,1)}
       280:{1,3,5}:{(233,1),(234,1),(241,1),(325,1),(327,1),(334,1)}
       281:{2,4}:{(234,1),(235,1),(327,1)}
       282:{1,3,4,5}:{(235,1),(243,1),(255,1),(328,1),(329,1),(347,1),(400,1),(415,1)}
       283:{1,3,7}:{(236,1),(237,1),(241,1),(330,1)}
       284:{2,4,7}:{(237,1),(238,1),(242,1),(330,1),(331,1)}
       285:{1,3,5,7}:{(238,1),(239,1),(243,1),(258,1),(331,1),(332,1)}
       286:{1,4,6}:{(239,1),(240,1),(259,1),(332,1),(362,1)}
       287:{1,5,6,7}:{(240,1),(260,1),(333,1),(443,1)}
       288:{1,4,6}:{(241,1),(242,1),(327,1),(330,1),(334,1),(404,1)}
       289:{2,5}:{(242,1),(243,1),(334,1)}
       290:{1,3,5,6}:{(243,1),(244,1),(264,1),(329,1),(332,1),(335,1),(336,1)}
       291:{1,4,5,7}:{(244,1),(265,1),(333,1),(336,1),(364,1),(417,1),(443,1)}
       292:{1,2,6}:{(245,1),(248,1),(337,1),(362,1),(404,1),(418,1)}
       293:{2,3,6}:{(245,1),(246,1),(249,1),(337,1),(338,1)}
       294:{3,4,6}:{(246,1),(247,1),(250,1),(338,1),(339,1)}
       295:{4,5}:{(247,1),(339,1)}
       296:{1,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(337,1),(341,1),(342,1),(408,1)}
       297:{2,4,7}:{(249,1),(250,1),(254,1),(338,1),(342,1)}
       298:{3,4,5,7}:{(250,1),(251,1),(255,1),(258,1),(339,1),(343,1),(344,1),(349,1),(410,1)}
       299:{4,6}:{(251,1),(252,1)}
       300:{3,5,6,7}:{(252,1),(260,1),(345,1),(353,1),(410,1),(453,1)}
       301:{2,3,5}:{(253,1),(261,1),(346,1),(354,1),(415,1)}
       302:{1,4}:{(253,1),(254,1),(346,1)}
       303:{2,4,5}:{(254,1),(255,1),(263,1),(347,1),(348,1)}
       304:{3,4,6}:{(255,1),(264,1),(348,1),(349,1),(452,1)}
       305:{2,3,7}:{(256,1),(261,1),(350,1),(446,1)}
       306:{1,3,4,7}:{(256,1),(257,1),(262,1),(271,1),(330,1),(342,1),(350,1),(351,1),(411,1),(417,1),(422,1),(440,1),(446,1)}
       307:{2,3,5,7}:{(257,1),(258,1),(263,1),(272,1),(331,1),(343,1),(351,1),(352,1)}
       308:{3,6}:{(258,1),(259,1)}
       309:{2,4,6,7}:{(259,1),(260,1),(265,1),(274,1),(333,1),(345,1),(353,1),(363,1),(405,1)}
       310:{2,4,6}:{(261,1),(262,1),(346,1),(350,1),(354,1),(357,1),(399,1),(418,1),(421,1),(439,1)}
       311:{1,3,5}:{(262,1),(263,1),(275,1),(334,1),(347,1),(354,1),(408,1),(415,1),(441,1)}
       312:{2,3,5,6}:{(263,1),(264,1),(276,1),(335,1),(348,1),(352,1),(355,1),(356,1),(359,1),(401,1),(409,1)}
       313:{3,5,7}:{(264,1),(265,1),(349,1),(353,1),(446,1)}
       314:{2,3}:{(266,1),(357,1)}
       315:{1,3,4}:{(266,1),(267,1),(268,1),(357,1),(358,1)}
       316:{2,3,5}:{(267,1),(269,1),(358,1),(359,1),(415,1)}
       317:{1,4,5}:{(268,1),(269,1),(275,1),(358,1),(360,1)}
       318:{2,4,6}:{(269,1),(270,1),(276,1),(359,1),(360,1),(361,1),(421,1)}
       319:{1,3,4,7}:{(270,1),(277,1),(349,1),(361,1),(417,1),(422,1),(446,1)}
       320:{1,5,7}:{(271,1),(272,1),(275,1),(362,1)}
       321:{2,6}:{(272,1),(273,1),(362,1)}
       322:{1,3,6,7}:{(273,1),(274,1),(277,1),(353,1),(363,1)}
       323:{1,5,6}:{(275,1),(276,1),(360,1),(362,1),(364,1)}
       324:{2,5,7}:{(276,1),(277,1),(361,1),(363,1),(364,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(385,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(289,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(290,1),(304,1),(369,1),(370,1),(387,1),(424,1),(435,1)}
       330:{1,4,7}:{(283,1),(284,1),(288,1),(371,1)}
       331:{2,5,7}:{(284,1),(285,1),(289,1),(371,1),(372,1)}
       332:{1,3,6}:{(285,1),(286,1),(308,1),(372,1)}
       333:{1,4,6,7}:{(286,1),(287,1),(291,1),(309,1),(373,1),(398,1)}
       334:{1,5}:{(288,1),(289,1)}
       335:{2,5,6}:{(289,1),(290,1),(369,1),(372,1),(374,1),(375,1)}
       336:{1,3,5,7}:{(290,1),(291,1),(313,1),(370,1),(373,1),(375,1)}
       337:{1,3,6}:{(292,1),(293,1),(296,1),(376,1),(377,1)}
       338:{2,4,6}:{(293,1),(294,1),(297,1),(377,1),(378,1)}
       339:{3,5}:{(294,1),(295,1),(378,1)}
       340:{4,5,6}:{(295,1),(299,1),(379,1),(380,1)}
       341:{2,3,5,7}:{(296,1),(301,1),(305,1),(376,1),(381,1),(389,1),(429,1),(432,1)}
       342:{1,4,7}:{(296,1),(297,1),(302,1),(377,1),(381,1)}
       343:{2,4,5,7}:{(297,1),(298,1),(303,1),(307,1),(378,1),(382,1),(383,1),(388,1),(431,1)}
       344:{3,4,6}:{(298,1),(299,1),(308,1),(379,1),(383,1)}
       345:{4,6,7}:{(299,1),(300,1),(380,1),(454,1)}
       346:{2,4}:{(301,1),(302,1),(385,1)}
       347:{1,4,5}:{(302,1),(303,1),(311,1),(386,1),(387,1),(448,1)}
       348:{2,4,6}:{(303,1),(304,1),(312,1),(387,1),(388,1)}
       349:{3,4,7}:{(304,1),(313,1),(388,1),(454,1)}
       350:{2,4,7}:{(305,1),(306,1),(310,1),(389,1),(438,1),(447,1)}
       351:{1,3,5,7}:{(306,1),(307,1),(311,1),(320,1),(371,1),(382,1),(389,1),(390,1),(432,1)}
       352:{2,3,6}:{(307,1),(308,1),(321,1),(372,1),(383,1),(390,1)}
       353:{3,6,7}:{(308,1),(309,1),(313,1)}
       354:{2,5}:{(310,1),(311,1)}
       355:{1,3,5,6}:{(311,1),(312,1),(323,1),(374,1),(387,1),(390,1),(392,1),(393,1),(395,1),(424,1),(430,1),(435,1),(449,1)}
       356:{2,3,5,7}:{(312,1),(313,1),(324,1),(375,1),(388,1),(391,1),(393,1),(396,1),(425,1),(431,1)}
       357:{2,4}:{(314,1),(315,1),(394,1)}
       358:{1,3,5}:{(315,1),(316,1),(317,1),(394,1),(395,1)}
       359:{2,3,6}:{(316,1),(318,1),(395,1),(396,1),(435,1)}
       360:{1,4,6}:{(317,1),(318,1),(323,1),(395,1),(397,1)}
       361:{2,4,7}:{(318,1),(319,1),(324,1),(396,1),(397,1),(438,1)}
       362:{1,6}:{(320,1),(321,1)}
       363:{2,6,7}:{(321,1),(322,1),(324,1),(398,1)}
       364:{1,5,7}:{(323,1),(324,1),(397,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(415,1)}
       368:{1,4,5}:{(327,1),(328,1),(334,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(335,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(336,1),(349,1),(403,1),(417,1),(440,1),(446,1)}
       371:{1,5,7}:{(330,1),(331,1),(334,1),(404,1)}
       372:{2,6}:{(331,1),(332,1),(404,1)}
       373:{1,3,6,7}:{(332,1),(333,1),(336,1),(353,1),(405,1)}
       374:{1,5,6}:{(334,1),(335,1),(402,1),(404,1),(406,1)}
       375:{2,5,7}:{(335,1),(336,1),(403,1),(405,1),(406,1)}
       376:{2,3,6}:{(337,1),(341,1),(407,1),(418,1),(444,1)}
       377:{1,4,6}:{(337,1),(338,1),(342,1),(407,1),(408,1)}
       378:{2,5}:{(338,1),(339,1),(408,1)}
       379:{3,5,6}:{(339,1),(340,1),(344,1),(409,1),(410,1)}
       380:{4,5,7}:{(340,1),(345,1),(410,1)}
       381:{2,4,7}:{(341,1),(342,1),(346,1),(407,1),(411,1)}
       382:{1,4,5,7}:{(342,1),(343,1),(347,1),(351,1),(408,1),(412,1),(413,1),(417,1),(443,1)}
       383:{2,4,6}:{(343,1),(344,1),(352,1),(409,1),(413,1)}
       384:{3,4,6,7}:{(344,1),(345,1),(349,1),(353,1),(410,1),(414,1)}
       385:{3,4}:{(346,1),(415,1)}
       386:{2,4,5}:{(346,1),(347,1),(354,1),(415,1),(416,1)}
       387:{1,4,6}:{(347,1),(348,1),(355,1),(416,1),(417,1),(452,1)}
       388:{2,4,7}:{(348,1),(349,1),(356,1),(417,1)}
       389:{2,5,7}:{(350,1),(351,1),(354,1),(418,1)}
       390:{1,3,6}:{(351,1),(352,1),(362,1),(404,1),(413,1),(418,1),(444,1)}
       391:{2,3,6,7}:{(352,1),(353,1),(356,1),(363,1),(405,1),(414,1),(419,1)}
       392:{2,5,6}:{(354,1),(355,1),(416,1),(418,1),(420,1),(421,1),(439,1)}
       393:{1,3,5,7}:{(355,1),(356,1),(364,1),(406,1),(417,1),(419,1),(420,1),(422,1),(440,1),(443,1),(446,1),(453,1)}
       394:{2,5}:{(357,1),(358,1),(421,1)}
       395:{1,3,6}:{(358,1),(359,1),(360,1),(421,1),(422,1)}
       396:{2,3,7}:{(359,1),(361,1),(422,1),(446,1)}
       397:{1,4,7}:{(360,1),(361,1),(364,1),(422,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(435,1)}
       402:{1,4,6}:{(368,1),(369,1),(374,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(375,1),(425,1),(426,1),(447,1)}
       404:{1,6}:{(371,1),(372,1)}
       405:{2,6,7}:{(372,1),(373,1),(375,1),(427,1)}
       406:{1,5,7}:{(374,1),(375,1),(426,1),(427,1)}
       407:{2,4,6}:{(376,1),(377,1),(381,1),(428,1),(429,1)}
       408:{1,5}:{(377,1),(378,1),(429,1)}
       409:{2,5,6}:{(378,1),(379,1),(383,1),(430,1),(431,1)}
       410:{3,5,7}:{(379,1),(380,1),(384,1),(431,1)}
       411:{3,4,7}:{(381,1),(385,1),(428,1),(432,1),(454,1)}
       412:{2,4,5,7}:{(381,1),(382,1),(386,1),(389,1),(429,1),(432,1),(433,1),(436,1),(448,1),(450,1),(454,1)}
       413:{1,4,6}:{(382,1),(383,1),(390,1),(430,1),(433,1)}
       414:{2,4,6,7}:{(383,1),(384,1),(388,1),(391,1),(431,1),(434,1)}
       415:{3,5}:{(385,1),(386,1),(435,1)}
       416:{2,4,6}:{(386,1),(387,1),(392,1),(435,1),(436,1)}
       417:{1,4,7}:{(387,1),(388,1),(393,1),(436,1),(454,1)}
       418:{2,6}:{(389,1),(390,1)}
       419:{1,3,6,7}:{(390,1),(391,1),(393,1),(398,1),(427,1),(434,1),(437,1),(451,1)}
       420:{2,5,7}:{(392,1),(393,1),(436,1),(437,1),(438,1),(447,1)}
       421:{2,6}:{(394,1),(395,1),(438,1)}
       422:{1,3,7}:{(395,1),(396,1),(397,1),(438,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(446,1)}
       426:{1,4,7}:{(402,1),(403,1),(406,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,4,6}:{(407,1),(411,1),(441,1),(444,1),(452,1)}
       429:{2,5}:{(407,1),(408,1),(441,1)}
       430:{1,5,6}:{(408,1),(409,1),(413,1),(442,1),(443,1)}
       431:{2,5,7}:{(409,1),(410,1),(414,1),(443,1)}
       432:{3,5,7}:{(411,1),(412,1),(415,1),(441,1),(444,1),(446,1)}
       433:{2,4,6}:{(412,1),(413,1),(418,1),(442,1),(444,1),(452,1)}
       434:{1,4,6,7}:{(413,1),(414,1),(417,1),(419,1),(443,1),(445,1)}
       435:{3,6}:{(415,1),(416,1),(446,1)}
       436:{2,4,7}:{(416,1),(417,1),(420,1),(446,1)}
       437:{2,6,7}:{(418,1),(419,1),(420,1)}
       438:{2,7}:{(421,1),(422,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,5}:{(428,1),(429,1),(448,1)}
       442:{2,5,6}:{(429,1),(430,1),(433,1),(449,1),(450,1)}
       443:{1,5,7}:{(430,1),(431,1),(434,1),(450,1)}
       444:{3,6}:{(432,1),(433,1)}
       445:{2,4,6,7}:{(433,1),(434,1),(436,1),(437,1),(450,1),(451,1),(454,1)}
       446:{3,7}:{(435,1),(436,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,5,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{3,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 316 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(80,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(101,1)}
         2:{1,2,5}:{(0,1),(7,1),(9,1),(64,1),(88,1)}
         3:{1,2,7}:{(0,1),(8,1),(94,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(95,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(77,1),(80,1),(95,1)}
         6:{1,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(46,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(72,1),(97,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(17,1),(104,1)}
         9:{1,2,4}:{(2,1),(18,1),(19,1),(47,1)}
        10:{1,3,6}:{(4,1),(5,1),(20,1),(21,1),(22,1),(93,1)}
        11:{1,2,5}:{(4,1),(21,1),(23,1),(66,1),(86,1)}
        12:{1,2,7}:{(4,1),(22,1),(102,1)}
        13:{2,4,6}:{(5,1),(6,1),(20,1),(24,1),(25,1),(26,1),(27,1),(60,1)}
        14:{2,3,5}:{(5,1),(7,1),(21,1),(25,1),(27,1),(32,1),(53,1),(59,1),(64,1),(86,1)}
        15:{2,3,7}:{(5,1),(8,1),(22,1),(26,1),(92,1),(94,1),(102,1)}
        16:{1,5}:{(6,1),(25,1)}
        17:{1,4,7}:{(6,1),(8,1),(26,1),(30,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3}:{(9,1),(32,1)}
        20:{1,4,6}:{(10,1),(13,1),(33,1),(34,1),(35,1),(70,1)}
        21:{1,3,5}:{(10,1),(11,1),(14,1),(33,1),(35,1),(36,1),(48,1),(82,1)}
        22:{1,3,7}:{(10,1),(12,1),(15,1),(34,1),(100,1)}
        23:{1,2,4}:{(11,1),(35,1),(36,1),(71,1)}
        24:{3,4,6}:{(13,1),(37,1),(38,1),(42,1),(73,1),(76,1),(77,1)}
        25:{2,5}:{(13,1),(16,1),(33,1),(37,1)}
        26:{2,4,7}:{(13,1),(15,1),(17,1),(34,1),(38,1),(41,1)}
        27:{2,4}:{(14,1),(18,1),(35,1),(42,1)}
        28:{1,5,6}:{(16,1),(39,1),(43,1),(44,1),(46,1)}
        29:{1,4,5}:{(16,1),(18,1),(40,1),(43,1),(45,1),(97,1)}
        30:{1,5,7}:{(16,1),(17,1),(41,1),(46,1)}
        31:{1,3,4}:{(18,1),(19,1),(42,1),(45,1),(47,1)}
        32:{2,3}:{(19,1),(47,1),(48,1)}
        33:{1,5}:{(20,1),(25,1)}
        34:{1,4,7}:{(20,1),(22,1),(26,1),(51,1)}
        35:{1,4}:{(21,1),(27,1)}
        36:{1,3}:{(23,1),(53,1)}
        37:{3,5}:{(24,1),(25,1),(55,1)}
        38:{3,4,7}:{(24,1),(26,1),(56,1),(89,1),(92,1)}
        39:{2,5,6}:{(25,1),(28,1),(49,1),(54,1),(57,1),(58,1),(60,1)}
        40:{2,4,5}:{(25,1),(27,1),(29,1),(50,1),(55,1),(57,1),(59,1),(64,1),(86,1)}
        41:{2,5,7}:{(25,1),(26,1),(30,1),(51,1),(56,1),(60,1)}
        42:{3,4}:{(27,1),(59,1)}
        43:{1,4,6}:{(28,1),(29,1),(57,1),(61,1),(62,1),(101,1)}
        44:{1,5,7}:{(28,1),(58,1),(62,1),(63,1)}
        45:{1,3,5}:{(29,1),(31,1),(59,1),(61,1),(64,1)}
        46:{1,6}:{(30,1),(60,1)}
        47:{2,4}:{(31,1),(32,1),(64,1),(65,1)}
        48:{1,3}:{(32,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(39,1),(67,1),(68,1),(70,1)}
        50:{1,4,5}:{(33,1),(35,1),(40,1),(67,1),(69,1),(82,1)}
        51:{1,5,7}:{(33,1),(34,1),(41,1),(70,1)}
        52:{1,3,4}:{(35,1),(36,1),(42,1),(69,1),(71,1)}
        53:{2,3}:{(36,1),(71,1),(72,1)}
        54:{3,5,6}:{(37,1),(39,1),(73,1),(74,1),(76,1),(77,1),(99,1)}
        55:{4,5}:{(37,1),(73,1)}
        56:{3,5,7}:{(37,1),(38,1),(41,1),(75,1),(76,1)}
        57:{2,4,6}:{(39,1),(40,1),(43,1),(67,1),(73,1),(77,1),(78,1),(80,1),(95,1)}
        58:{2,5,7}:{(39,1),(44,1),(68,1),(74,1),(78,1),(79,1)}
        59:{3,5}:{(40,1),(42,1),(77,1)}
        60:{2,6}:{(41,1),(46,1),(70,1),(76,1)}
        61:{1,3,6}:{(43,1),(45,1),(77,1),(80,1),(81,1)}
        62:{1,4,7}:{(43,1),(44,1),(78,1),(81,1),(104,1)}
        63:{1,6,7}:{(44,1),(46,1),(79,1)}
        64:{2,5}:{(45,1),(47,1),(80,1),(82,1)}
        65:{1,4}:{(47,1),(48,1),(82,1)}
        66:{1,2}:{(48,1)}
        67:{1,4,6}:{(49,1),(50,1),(57,1),(83,1),(84,1),(93,1)}
        68:{1,5,7}:{(49,1),(58,1),(84,1),(85,1)}
        69:{1,3,5}:{(50,1),(52,1),(59,1),(83,1),(86,1)}
        70:{1,6}:{(51,1),(60,1)}
        71:{2,4}:{(52,1),(53,1),(86,1),(87,1)}
        72:{1,3}:{(53,1),(87,1),(88,1)}
        73:{4,6}:{(54,1),(55,1),(89,1)}
        74:{3,5,7}:{(54,1),(58,1),(89,1),(90,1),(92,1),(103,1)}
        75:{4,5,7}:{(55,1),(56,1),(89,1),(91,1),(103,1)}
        76:{3,6}:{(56,1),(60,1),(91,1)}
        77:{3,6}:{(57,1),(59,1),(92,1)}
        78:{2,4,7}:{(57,1),(58,1),(62,1),(84,1),(89,1),(92,1),(94,1),(102,1)}
        79:{2,6,7}:{(58,1),(60,1),(63,1),(85,1),(90,1)}
        80:{2,6}:{(61,1),(64,1),(93,1),(94,1)}
        81:{1,3,7}:{(61,1),(62,1),(92,1),(94,1)}
        82:{1,5}:{(64,1),(65,1),(93,1)}
        83:{1,3,6}:{(67,1),(69,1),(77,1),(95,1),(96,1)}
        84:{1,4,7}:{(67,1),(68,1),(78,1),(96,1),(100,1)}
        85:{1,6,7}:{(68,1),(70,1),(79,1)}
        86:{2,5}:{(69,1),(71,1),(95,1),(97,1)}
        87:{1,4}:{(71,1),(72,1),(97,1)}
        88:{1,2}:{(72,1)}
        89:{4,7}:{(73,1),(74,1)}
        90:{3,6,7}:{(74,1),(76,1),(79,1),(98,1)}
        91:{4,6}:{(75,1),(76,1),(99,1)}
        92:{3,7}:{(77,1),(78,1)}
        93:{1,6}:{(80,1),(82,1),(100,1)}
        94:{2,7}:{(80,1),(81,1),(100,1)}
        95:{2,6}:{(83,1),(86,1),(101,1),(102,1)}
        96:{1,3,7}:{(83,1),(84,1),(92,1),(102,1)}
        97:{1,5}:{(86,1),(87,1),(101,1)}
        98:{4,6,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{5,6}:{(91,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{1,6}:{(95,1),(97,1),(104,1)}
       102:{2,7}:{(95,1),(96,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

 317 :   0:{1,2,7}:{(1,1),(2,1),(96,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(104,1)}
         2:{1,2,6}:{(0,1),(6,1),(7,1),(86,1)}
         3:{1,2,7}:{(8,1),(9,1),(102,1)}
         4:{2,3,7}:{(1,1),(8,1),(10,1),(11,1),(95,1),(96,1),(102,1)}
         5:{1,4,7}:{(1,1),(10,1),(12,1),(13,1)}
         6:{1,3,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(103,1)}
         7:{1,2,5}:{(2,1),(14,1),(15,1),(71,1),(92,1)}
         8:{1,3,7}:{(3,1),(4,1),(16,1),(17,1),(101,1)}
         9:{1,2,6}:{(3,1),(17,1),(18,1),(99,1)}
        10:{2,4,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(21,1)}
        11:{2,3,6}:{(4,1),(6,1),(17,1),(21,1),(22,1),(84,1),(86,1),(99,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(24,1)}
        13:{1,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(24,1),(25,1),(26,1),(78,1),(100,1)}
        15:{1,2,4}:{(7,1),(25,1),(26,1),(55,1)}
        16:{1,4,7}:{(8,1),(10,1),(27,1),(28,1)}
        17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(97,1)}
        18:{1,2,5}:{(9,1),(29,1),(30,1),(73,1),(90,1)}
        19:{3,4,7}:{(10,1),(31,1),(32,1),(94,1),(95,1)}
        20:{2,5,7}:{(10,1),(12,1),(27,1),(31,1),(33,1),(34,1)}
        21:{2,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1),(33,1),(34,1),(35,1)}
        22:{2,3,5}:{(11,1),(14,1),(29,1),(34,1),(35,1),(40,1),(61,1),(68,1),(71,1),(90,1)}
        23:{1,6}:{(12,1),(33,1)}
        24:{1,5}:{(13,1),(34,1)}
        25:{1,4}:{(14,1),(35,1)}
        26:{1,3}:{(15,1),(40,1)}
        27:{1,5,7}:{(16,1),(20,1),(41,1),(42,1)}
        28:{1,4,6}:{(16,1),(17,1),(21,1),(41,1),(42,1),(43,1)}
        29:{1,3,5}:{(17,1),(18,1),(22,1),(42,1),(43,1),(44,1),(56,1),(87,1)}
        30:{1,2,4}:{(18,1),(43,1),(44,1),(77,1)}
        31:{3,5,7}:{(19,1),(20,1),(45,1),(46,1),(47,1)}
        32:{3,4,6}:{(19,1),(21,1),(46,1),(47,1),(51,1),(82,1),(84,1)}
        33:{2,6}:{(20,1),(23,1),(41,1),(46,1)}
        34:{2,5}:{(21,1),(24,1),(42,1),(47,1)}
        35:{2,4}:{(22,1),(25,1),(43,1),(51,1)}
        36:{1,6,7}:{(23,1),(48,1),(52,1)}
        37:{1,5,6}:{(23,1),(24,1),(49,1),(52,1),(53,1)}
        38:{1,4,5}:{(24,1),(25,1),(50,1),(53,1),(54,1),(100,1)}
        39:{1,3,4}:{(25,1),(26,1),(51,1),(54,1),(55,1)}
        40:{2,3}:{(26,1),(55,1),(56,1)}
        41:{1,6}:{(27,1),(33,1)}
        42:{1,5}:{(28,1),(34,1)}
        43:{1,4}:{(29,1),(35,1)}
        44:{1,3}:{(30,1),(61,1)}
        45:{4,5,7}:{(31,1),(62,1),(65,1),(93,1),(94,1)}
        46:{3,6}:{(31,1),(33,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(65,1)}
        48:{2,6,7}:{(33,1),(36,1),(57,1),(63,1),(66,1)}
        49:{2,5,6}:{(33,1),(34,1),(37,1),(58,1),(64,1),(66,1),(67,1)}
        50:{2,4,5}:{(34,1),(35,1),(38,1),(59,1),(65,1),(67,1),(68,1),(71,1),(90,1)}
        51:{3,4}:{(35,1),(68,1)}
        52:{1,5,7}:{(36,1),(37,1),(66,1),(69,1)}
        53:{1,4,6}:{(37,1),(38,1),(67,1),(69,1),(70,1),(103,1)}
        54:{1,3,5}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        55:{2,4}:{(39,1),(40,1),(71,1),(72,1)}
        56:{1,3}:{(40,1),(72,1),(73,1)}
        57:{1,6,7}:{(41,1),(48,1),(74,1)}
        58:{1,5,6}:{(41,1),(42,1),(49,1),(74,1),(75,1)}
        59:{1,4,5}:{(42,1),(43,1),(50,1),(75,1),(76,1),(87,1)}
        60:{1,3,4}:{(43,1),(44,1),(51,1),(76,1),(77,1)}
        61:{2,3}:{(44,1),(77,1),(78,1)}
        62:{4,6}:{(45,1),(46,1),(80,1)}
        63:{3,6,7}:{(46,1),(48,1),(79,1),(81,1)}
        64:{3,5,6}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1),(84,1)}
        65:{4,5}:{(47,1),(82,1)}
        66:{2,5,7}:{(48,1),(49,1),(52,1),(74,1),(81,1),(83,1)}
        67:{2,4,6}:{(49,1),(50,1),(53,1),(75,1),(82,1),(83,1),(84,1),(86,1),(99,1)}
        68:{3,5}:{(50,1),(51,1),(84,1)}
        69:{1,4,7}:{(52,1),(53,1),(83,1),(85,1),(104,1)}
        70:{1,3,6}:{(53,1),(54,1),(84,1),(85,1),(86,1)}
        71:{2,5}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,4}:{(55,1),(56,1),(87,1)}
        73:{1,2}:{(56,1)}
        74:{1,5,7}:{(57,1),(58,1),(66,1),(88,1)}
        75:{1,4,6}:{(58,1),(59,1),(67,1),(88,1),(89,1),(97,1)}
        76:{1,3,5}:{(59,1),(60,1),(68,1),(89,1),(90,1)}
        77:{2,4}:{(60,1),(61,1),(90,1),(91,1)}
        78:{1,3}:{(61,1),(91,1),(92,1)}
        79:{4,6,7}:{(62,1),(63,1),(93,1),(94,1)}
        80:{5,6}:{(62,1),(93,1)}
        81:{3,5,7}:{(63,1),(64,1),(66,1),(93,1),(94,1),(95,1)}
        82:{4,6}:{(64,1),(65,1),(94,1)}
        83:{2,4,7}:{(66,1),(67,1),(69,1),(88,1),(94,1),(95,1),(96,1),(102,1)}
        84:{3,6}:{(67,1),(68,1),(95,1)}
        85:{1,3,7}:{(69,1),(70,1),(95,1),(96,1)}
        86:{2,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{1,5}:{(71,1),(72,1),(97,1)}
        88:{1,4,7}:{(74,1),(75,1),(83,1),(98,1),(101,1)}
        89:{1,3,6}:{(75,1),(76,1),(84,1),(98,1),(99,1)}
        90:{2,5}:{(76,1),(77,1),(99,1),(100,1)}
        91:{1,4}:{(77,1),(78,1),(100,1)}
        92:{1,2}:{(78,1)}
        93:{5,7}:{(79,1),(80,1)}
        94:{4,7}:{(81,1),(82,1)}
        95:{3,7}:{(83,1),(84,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6}:{(86,1),(87,1),(101,1)}
        98:{1,3,7}:{(88,1),(89,1),(95,1),(102,1)}
        99:{2,6}:{(89,1),(90,1),(102,1),(103,1)}
       100:{1,5}:{(90,1),(91,1),(103,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{2,7}:{(98,1),(99,1),(104,1)}
       103:{1,6}:{(99,1),(100,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 318 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(3,1),(4,1)}
        2:{1,2}:{(5,1)}
        3:{2,3}:{(1,1),(5,1),(6,1)}
        4:{1,4}:{(1,1),(6,1),(7,1)}
        5:{1,3}:{(2,1),(3,1),(8,1)}
        6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
        7:{1,5}:{(4,1),(10,1),(11,1)}
        8:{1,4}:{(5,1),(6,1),(12,1)}
        9:{3,4}:{(6,1),(13,1)}
       10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(7,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

 319 :   0:{1,3,4}:{(1,1),(2,1),(8,1),(27,1),(29,1),(55,1)}
         1:{2,4}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
         2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(21,1)}
         3:{2,3}:{(1,1),(8,1),(55,1)}
         4:{1,4}:{(1,1),(8,1),(10,1)}
         5:{2,5}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,4,5}:{(2,1),(11,1),(13,1),(27,1),(59,1),(64,1)}
         7:{1,3,6}:{(2,1),(12,1),(13,1),(14,1),(35,1)}
         8:{1,3}:{(3,1),(4,1),(15,1)}
         9:{2,3,5}:{(3,1),(5,1),(16,1),(17,1),(18,1),(21,1),(45,1),(47,1),(71,1)}
        10:{1,5}:{(4,1),(5,1),(20,1)}
        11:{2,4,5}:{(5,1),(6,1),(17,1),(19,1),(21,1),(22,1),(39,1),(45,1),(47,1),(73,1),(77,1),(95,1)}
        12:{2,6}:{(5,1),(7,1),(20,1),(23,1)}
        13:{1,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1),(80,1)}
        14:{1,3,7}:{(7,1),(23,1),(25,1),(52,1)}
        15:{2}:{(8,1)}
        16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(55,1),(59,1),(64,1),(85,1),(86,1)}
        17:{2,4}:{(9,1),(27,1),(29,1)}
        18:{2,3,6}:{(9,1),(12,1),(28,1),(30,1),(31,1),(35,1),(65,1)}
        19:{1,4,5}:{(10,1),(11,1),(27,1),(32,1),(33,1),(59,1)}
        20:{1,6}:{(10,1),(12,1),(34,1)}
        21:{3,5}:{(11,1),(29,1),(35,1),(55,1)}
        22:{2,4,6}:{(11,1),(12,1),(13,1),(33,1),(35,1),(36,1),(37,1),(65,1),(68,1)}
        23:{2,7}:{(12,1),(14,1),(34,1)}
        24:{1,5,6}:{(13,1),(36,1),(38,1),(59,1),(89,1)}
        25:{1,4,7}:{(13,1),(14,1),(37,1),(38,1),(92,1)}
        26:{2,5}:{(15,1),(16,1),(39,1),(40,1),(94,1)}
        27:{1,4}:{(16,1),(17,1),(39,1),(95,1)}
        28:{1,3,6}:{(16,1),(18,1),(20,1),(40,1),(42,1),(43,1),(72,1),(80,1)}
        29:{3,4}:{(17,1),(21,1),(95,1)}
        30:{2,4,6}:{(17,1),(18,1),(42,1),(44,1),(45,1),(46,1),(79,1)}
        31:{2,3,7}:{(18,1),(23,1),(43,1),(46,1),(52,1),(81,1)}
        32:{1,3,5}:{(19,1),(21,1),(41,1),(47,1),(48,1)}
        33:{1,4,6}:{(19,1),(20,1),(22,1),(48,1),(49,1),(50,1)}
        34:{1,7}:{(20,1),(23,1)}
        35:{3,6}:{(21,1),(22,1),(52,1)}
        36:{2,5,6}:{(22,1),(24,1),(45,1),(49,1),(51,1),(53,1),(73,1),(79,1),(97,1)}
        37:{2,4,7}:{(22,1),(23,1),(25,1),(50,1),(52,1),(53,1),(81,1),(83,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(54,1)}
        39:{2,4}:{(26,1),(27,1),(55,1)}
        40:{2,6}:{(26,1),(28,1),(57,1)}
        41:{1,3,4}:{(27,1),(29,1),(32,1),(55,1),(58,1),(85,1)}
        42:{1,4,6}:{(27,1),(28,1),(30,1),(56,1),(59,1),(60,1),(89,1)}
        43:{1,3,7}:{(28,1),(31,1),(34,1),(57,1),(60,1),(87,1),(92,1)}
        44:{3,4,6}:{(29,1),(30,1),(35,1),(61,1),(62,1),(68,1),(91,1)}
        45:{2,5}:{(30,1),(59,1),(61,1)}
        46:{2,4,7}:{(30,1),(31,1),(60,1),(62,1),(63,1)}
        47:{2,5}:{(32,1),(58,1),(64,1),(65,1)}
        48:{1,3,6}:{(32,1),(33,1),(35,1),(65,1),(66,1)}
        49:{1,5,6}:{(33,1),(36,1),(59,1),(67,1),(89,1)}
        50:{1,4,7}:{(33,1),(34,1),(37,1),(66,1),(67,1)}
        51:{3,5,6}:{(35,1),(36,1),(61,1),(68,1),(69,1),(86,1),(91,1),(101,1),(102,1),(104,1)}
        52:{3,7}:{(35,1),(37,1)}
        53:{2,5,7}:{(36,1),(37,1),(38,1),(67,1),(69,1),(70,1)}
        54:{1,6,7}:{(38,1),(70,1),(89,1)}
        55:{3}:{(39,1)}
        56:{2,4,6}:{(39,1),(40,1),(42,1),(72,1),(73,1),(74,1),(95,1),(97,1),(103,1)}
        57:{2,7}:{(40,1),(43,1)}
        58:{2,4}:{(41,1),(47,1),(71,1),(75,1),(94,1)}
        59:{1,5}:{(42,1),(45,1),(73,1)}
        60:{1,4,7}:{(42,1),(43,1),(46,1),(74,1),(76,1)}
        61:{3,5}:{(44,1),(45,1),(77,1)}
        62:{3,4,7}:{(44,1),(46,1),(52,1),(78,1),(83,1)}
        63:{2,5,7}:{(45,1),(46,1),(76,1),(78,1),(79,1)}
        64:{1,5}:{(47,1),(75,1),(80,1)}
        65:{2,6}:{(47,1),(48,1),(80,1),(81,1)}
        66:{1,3,7}:{(48,1),(50,1),(52,1),(81,1)}
        67:{1,5,7}:{(49,1),(50,1),(53,1),(82,1)}
        68:{4,6}:{(51,1),(77,1),(83,1),(95,1)}
        69:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(99,1)}
        70:{2,6,7}:{(53,1),(54,1),(79,1),(82,1),(84,1),(97,1)}
        71:{2,3}:{(55,1),(58,1),(85,1)}
        72:{3,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{2,5}:{(56,1),(59,1),(86,1),(104,1)}
        74:{2,4,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,4}:{(58,1),(64,1),(85,1)}
        76:{1,5,7}:{(59,1),(60,1),(63,1),(88,1),(89,1)}
        77:{4,5}:{(61,1),(68,1),(104,1)}
        78:{3,5,7}:{(61,1),(62,1),(63,1),(90,1),(91,1)}
        79:{2,6}:{(63,1),(89,1),(91,1)}
        80:{1,6}:{(64,1),(65,1),(92,1)}
        81:{2,7}:{(65,1),(66,1),(92,1)}
        82:{1,6,7}:{(67,1),(70,1),(89,1)}
        83:{4,7}:{(68,1),(69,1)}
        84:{3,6,7}:{(69,1),(70,1),(91,1),(93,1),(101,1)}
        85:{1,3}:{(71,1),(75,1),(94,1)}
        86:{3,5}:{(72,1),(73,1),(95,1)}
        87:{3,7}:{(72,1),(74,1)}
        88:{2,5,7}:{(73,1),(74,1),(76,1),(96,1),(97,1)}
        89:{1,6}:{(76,1),(79,1),(97,1)}
        90:{4,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{3,6}:{(78,1),(79,1),(98,1)}
        92:{1,7}:{(80,1),(81,1)}
        93:{4,6,7}:{(83,1),(84,1),(98,1),(99,1),(103,1)}
        94:{2}:{(85,1)}
        95:{4}:{(86,1)}
        96:{3,5,7}:{(86,1),(87,1),(88,1),(100,1),(101,1),(104,1)}
        97:{2,6}:{(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(91,1),(102,1)}
        99:{5,7}:{(93,1),(102,1),(104,1)}
       100:{4,7}:{(95,1),(96,1),(103,1)}
       101:{3,6}:{(96,1),(97,1),(103,1)}
       102:{5,6}:{(98,1),(99,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5}:{(103,1)}

 320 :   0:{2,3,4}:{(1,1),(2,1),(26,1),(60,1)}
         1:{1,3,4}:{(0,1),(3,1),(4,1),(15,1),(44,1),(49,1)}
         2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
         3:{2,4}:{(1,1),(8,1),(9,1)}
         4:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,4,5}:{(2,1),(10,1),(12,1),(13,1),(60,1),(101,1)}
         6:{2,3,6}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,2,4}:{(3,1),(15,1),(16,1),(41,1),(44,1)}
         8:{2,3}:{(3,1),(15,1)}
         9:{2,5}:{(3,1),(4,1),(20,1)}
        10:{1,4,5}:{(4,1),(5,1),(19,1),(21,1),(44,1),(85,1)}
        11:{1,3,6}:{(4,1),(6,1),(20,1),(21,1),(22,1),(52,1)}
        12:{3,4,5}:{(5,1),(23,1),(80,1),(118,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{2,3,7}:{(6,1),(22,1),(25,1)}
        15:{1,3}:{(7,1),(8,1),(26,1)}
        16:{1,2,5}:{(7,1),(9,1),(28,1),(29,1),(59,1)}
        17:{2,3,4}:{(8,1),(27,1),(30,1),(31,1)}
        18:{2,3,5}:{(8,1),(9,1),(28,1),(31,1),(32,1),(33,1),(70,1)}
        19:{2,4,5}:{(9,1),(10,1),(31,1),(33,1),(34,1),(70,1),(109,1)}
        20:{2,6}:{(9,1),(11,1),(35,1)}
        21:{1,4,6}:{(10,1),(11,1),(13,1),(34,1),(36,1),(37,1)}
        22:{1,3,7}:{(11,1),(14,1),(35,1),(37,1),(73,1)}
        23:{3,4,6}:{(12,1),(13,1),(38,1),(39,1)}
        24:{2,5,6}:{(13,1),(36,1),(38,1),(40,1),(101,1),(134,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(39,1),(40,1)}
        26:{2,3}:{(15,1),(41,1)}
        27:{1,3,4}:{(15,1),(17,1),(41,1),(43,1),(44,1),(80,1)}
        28:{1,3,5}:{(15,1),(16,1),(18,1),(42,1),(44,1),(45,1),(85,1)}
        29:{1,2,6}:{(16,1),(20,1),(45,1),(46,1),(79,1)}
        30:{2,3,5}:{(17,1),(43,1),(47,1),(48,1)}
        31:{2,4}:{(18,1),(44,1),(49,1)}
        32:{2,3,6}:{(18,1),(20,1),(45,1),(50,1),(51,1),(52,1)}
        33:{3,5}:{(19,1),(49,1),(52,1)}
        34:{2,4,6}:{(19,1),(20,1),(21,1),(52,1),(53,1),(54,1),(93,1)}
        35:{2,7}:{(20,1),(22,1)}
        36:{1,5,6}:{(21,1),(24,1),(53,1),(55,1),(85,1),(122,1)}
        37:{1,4,7}:{(21,1),(22,1),(25,1),(54,1),(55,1)}
        38:{3,5,6}:{(23,1),(24,1),(56,1),(57,1),(118,1),(144,1)}
        39:{3,4,7}:{(23,1),(25,1),(57,1)}
        40:{2,5,7}:{(24,1),(25,1),(55,1),(57,1),(58,1)}
        41:{2,4}:{(26,1),(27,1),(59,1)}
        42:{2,3,5}:{(26,1),(28,1),(59,1),(60,1),(61,1),(97,1),(101,1)}
        43:{1,3,5}:{(27,1),(30,1),(59,1),(62,1),(63,1),(97,1)}
        44:{1,4}:{(28,1),(31,1),(60,1)}
        45:{1,3,6}:{(28,1),(29,1),(32,1),(61,1),(64,1),(65,1)}
        46:{1,2,7}:{(29,1),(35,1),(65,1),(99,1)}
        47:{2,4,5}:{(30,1),(31,1),(62,1),(66,1),(67,1),(70,1)}
        48:{2,3,6}:{(30,1),(63,1),(67,1),(68,1)}
        49:{3,4}:{(31,1),(33,1)}
        50:{2,4,6}:{(31,1),(32,1),(64,1),(69,1),(70,1),(71,1),(111,1)}
        51:{2,3,7}:{(32,1),(35,1),(65,1),(71,1),(73,1)}
        52:{3,6}:{(33,1),(34,1),(73,1)}
        53:{2,5,6}:{(34,1),(36,1),(70,1),(72,1),(74,1),(111,1)}
        54:{2,4,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(112,1)}
        55:{1,5,7}:{(36,1),(37,1),(40,1),(74,1),(75,1)}
        56:{4,5,6}:{(38,1),(76,1),(132,1),(149,1)}
        57:{3,5,7}:{(38,1),(39,1),(40,1),(76,1),(77,1)}
        58:{2,6,7}:{(40,1),(75,1),(77,1),(134,1)}
        59:{2,5}:{(41,1),(43,1),(79,1)}
        60:{2,4}:{(42,1),(44,1),(80,1)}
        61:{2,3,6}:{(42,1),(45,1),(79,1),(81,1),(82,1),(115,1)}
        62:{1,4,5}:{(43,1),(44,1),(47,1),(78,1),(83,1),(85,1)}
        63:{1,3,6}:{(43,1),(48,1),(79,1),(83,1),(84,1),(115,1)}
        64:{1,4,6}:{(44,1),(45,1),(50,1),(81,1),(85,1),(86,1),(122,1)}
        65:{1,3,7}:{(45,1),(46,1),(51,1),(82,1),(86,1)}
        66:{3,4,5}:{(47,1),(49,1),(87,1),(90,1)}
        67:{2,4,6}:{(47,1),(48,1),(83,1),(87,1),(88,1),(89,1)}
        68:{2,3,7}:{(48,1),(84,1),(89,1)}
        69:{3,4,6}:{(49,1),(50,1),(52,1),(90,1),(91,1),(93,1),(127,1)}
        70:{2,5}:{(50,1),(85,1),(90,1)}
        71:{2,4,7}:{(50,1),(51,1),(86,1),(91,1),(92,1)}
        72:{3,5,6}:{(52,1),(53,1),(90,1),(93,1),(94,1),(127,1),(146,1)}
        73:{3,7}:{(52,1),(54,1)}
        74:{2,5,7}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        75:{1,6,7}:{(55,1),(58,1),(95,1),(122,1)}
        76:{4,5,7}:{(56,1),(57,1),(96,1)}
        77:{3,6,7}:{(57,1),(58,1),(96,1),(144,1)}
        78:{2,4,5}:{(59,1),(60,1),(62,1),(97,1),(98,1),(101,1),(132,1)}
        79:{2,6}:{(59,1),(63,1),(99,1)}
        80:{3,4}:{(60,1),(97,1)}
        81:{2,4,6}:{(60,1),(61,1),(64,1),(100,1),(101,1),(102,1),(134,1)}
        82:{2,3,7}:{(61,1),(65,1),(99,1),(102,1),(130,1)}
        83:{1,4,6}:{(62,1),(63,1),(67,1),(98,1),(103,1),(104,1)}
        84:{1,3,7}:{(63,1),(68,1),(99,1),(104,1),(130,1)}
        85:{1,5}:{(64,1),(70,1),(101,1)}
        86:{1,4,7}:{(64,1),(65,1),(71,1),(102,1),(105,1)}
        87:{3,4,6}:{(66,1),(67,1),(106,1),(107,1)}
        88:{2,5,6}:{(67,1),(70,1),(103,1),(106,1),(108,1),(111,1)}
        89:{2,4,7}:{(67,1),(68,1),(104,1),(107,1),(108,1)}
        90:{3,5}:{(69,1),(70,1),(109,1)}
        91:{3,4,7}:{(69,1),(71,1),(73,1),(110,1),(112,1)}
        92:{2,5,7}:{(70,1),(71,1),(105,1),(110,1),(111,1)}
        93:{4,6}:{(72,1),(109,1),(112,1)}
        94:{3,5,7}:{(72,1),(73,1),(74,1),(112,1),(113,1),(139,1)}
        95:{2,6,7}:{(74,1),(75,1),(111,1),(113,1)}
        96:{4,6,7}:{(76,1),(77,1),(114,1),(149,1)}
        97:{3,5}:{(78,1),(80,1),(115,1)}
        98:{2,4,6}:{(78,1),(79,1),(83,1),(115,1),(116,1),(117,1),(140,1)}
        99:{2,7}:{(79,1),(84,1)}
       100:{3,4,6}:{(80,1),(81,1),(115,1),(118,1),(119,1),(140,1),(144,1)}
       101:{2,5}:{(81,1),(85,1),(118,1)}
       102:{2,4,7}:{(81,1),(82,1),(86,1),(119,1),(120,1)}
       103:{1,5,6}:{(83,1),(85,1),(88,1),(116,1),(121,1),(122,1)}
       104:{1,4,7}:{(83,1),(84,1),(89,1),(117,1),(121,1)}
       105:{1,5,7}:{(85,1),(86,1),(92,1),(120,1),(122,1)}
       106:{3,5,6}:{(87,1),(88,1),(90,1),(123,1),(124,1),(127,1)}
       107:{3,4,7}:{(87,1),(89,1),(124,1)}
       108:{2,5,7}:{(88,1),(89,1),(121,1),(124,1),(125,1)}
       109:{4,5}:{(90,1),(93,1)}
       110:{3,5,7}:{(90,1),(91,1),(92,1),(126,1),(127,1)}
       111:{2,6}:{(92,1),(122,1),(127,1)}
       112:{4,7}:{(93,1),(94,1)}
       113:{3,6,7}:{(94,1),(95,1),(127,1),(128,1)}
       114:{5,6,7}:{(96,1),(152,1)}
       115:{3,6}:{(97,1),(98,1),(130,1)}
       116:{2,5,6}:{(98,1),(101,1),(103,1),(129,1),(131,1),(134,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(131,1),(147,1)}
       118:{3,5}:{(100,1),(101,1),(132,1)}
       119:{3,4,7}:{(100,1),(102,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(105,1),(133,1),(134,1)}
       121:{1,5,7}:{(103,1),(104,1),(108,1),(131,1),(135,1)}
       122:{1,6}:{(105,1),(111,1),(134,1)}
       123:{4,5,6}:{(106,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(106,1),(107,1),(108,1),(136,1),(137,1)}
       125:{2,6,7}:{(108,1),(111,1),(135,1),(137,1)}
       126:{4,5,7}:{(109,1),(110,1),(112,1),(138,1),(139,1)}
       127:{3,6}:{(110,1),(111,1),(138,1)}
       128:{4,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(144,1),(152,1)}
       130:{3,7}:{(115,1),(117,1)}
       131:{2,5,7}:{(116,1),(117,1),(121,1),(141,1),(142,1)}
       132:{4,5}:{(118,1),(140,1)}
       133:{3,5,7}:{(118,1),(119,1),(120,1),(143,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(125,1),(142,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(125,1),(127,1),(145,1)}
       138:{4,6}:{(126,1),(127,1),(146,1)}
       139:{5,7}:{(128,1),(146,1)}
       140:{4,6}:{(129,1),(132,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(131,1),(147,1),(148,1),(153,1)}
       142:{2,6,7}:{(131,1),(134,1),(135,1),(148,1)}
       143:{4,5,7}:{(132,1),(133,1),(147,1),(149,1),(153,1)}
       144:{3,6}:{(133,1),(134,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(142,1),(144,1),(151,1)}
       149:{4,6}:{(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 321 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 322 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(15,1),(18,1),(33,1),(37,1),(74,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(26,1),(52,1),(54,1),(57,1),(92,1)}
         2:{2,4,7}:{(0,1),(5,1),(8,1),(9,1),(93,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(28,1),(58,1)}
         4:{2,5,7}:{(1,1),(10,1),(11,1),(35,1),(72,1),(107,1)}
         5:{1,4,7}:{(1,1),(2,1),(10,1),(14,1),(75,1),(108,1)}
         6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(34,1),(78,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(18,1),(37,1),(44,1),(46,1),(82,1),(83,1),(101,1),(111,1),(125,1),(136,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1),(83,1),(109,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
        10:{2,4,7}:{(4,1),(5,1),(20,1),(21,1),(118,1)}
        11:{2,6}:{(4,1),(6,1)}
        12:{1,4,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(26,1),(56,1),(57,1),(62,1),(84,1),(96,1),(99,1),(117,1),(120,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(20,1),(22,1),(24,1),(25,1),(47,1),(52,1),(84,1),(96,1),(115,1),(119,1),(121,1)}
        14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(26,1)}
        15:{3,5,7}:{(7,1),(8,1),(28,1),(30,1),(100,1),(115,1),(121,1),(131,1)}
        16:{2,4,6}:{(7,1),(23,1),(28,1),(29,1),(58,1),(64,1)}
        17:{3,4,6}:{(8,1),(9,1),(28,1),(30,1),(64,1)}
        18:{2,5}:{(9,1),(26,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(31,1),(32,1),(35,1),(37,1),(65,1),(68,1),(75,1),(82,1),(103,1),(104,1),(105,1),(111,1)}
        20:{3,7}:{(10,1),(34,1),(126,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(35,1),(75,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(15,1),(31,1),(37,1),(38,1),(42,1),(114,1),(128,1)}
        23:{1,4,6}:{(12,1),(16,1),(32,1),(38,1),(39,1),(78,1)}
        24:{2,4,7}:{(13,1),(33,1),(37,1),(40,1),(41,1),(72,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(41,1),(42,1),(66,1),(73,1),(75,1),(80,1),(102,1),(108,1),(109,1),(113,1),(124,1),(126,1),(136,1)}
        26:{1,5}:{(14,1),(18,1),(35,1)}
        27:{2,4,6,7}:{(16,1),(36,1),(43,1),(44,1),(76,1),(83,1),(111,1)}
        28:{3,6}:{(15,1),(16,1)}
        29:{2,5,6}:{(16,1),(18,1),(39,1),(44,1),(45,1),(125,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(20,1),(47,1),(50,1),(54,1),(86,1),(100,1),(121,1)}
        32:{2,4,6}:{(19,1),(23,1),(50,1),(51,1),(58,1),(90,1)}
        33:{2,3,7}:{(20,1),(24,1),(52,1),(53,1),(115,1),(121,1),(132,1),(134,1)}
        34:{3,6}:{(20,1),(21,1),(54,1)}
        35:{2,5}:{(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(23,1),(27,1),(48,1),(55,1),(56,1),(94,1),(96,1),(120,1)}
        37:{2,5,7}:{(22,1),(24,1),(57,1),(58,1),(61,1),(123,1),(134,1)}
        38:{1,3,6}:{(22,1),(23,1),(28,1),(50,1),(58,1)}
        39:{1,5,6}:{(23,1),(26,1),(29,1),(51,1),(56,1),(117,1)}
        40:{1,4,7}:{(24,1),(52,1),(57,1),(60,1),(133,1)}
        41:{2,4,6}:{(24,1),(25,1),(53,1),(58,1),(60,1),(61,1),(91,1),(93,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(30,1),(54,1),(61,1),(62,1),(86,1),(100,1),(117,1),(131,1)}
        43:{3,6,7}:{(27,1),(28,1),(63,1),(121,1)}
        44:{2,5,7}:{(27,1),(29,1),(56,1),(63,1)}
        45:{3,5,6}:{(28,1),(29,1),(30,1),(63,1),(64,1),(131,1)}
        46:{4,5}:{(30,1),(64,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(75,1),(105,1),(109,1)}
        48:{2,4,6,7}:{(32,1),(36,1),(67,1),(68,1),(76,1),(105,1),(111,1)}
        49:{2,3,5,7}:{(31,1),(33,1),(37,1),(65,1),(69,1),(70,1),(74,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(35,1),(39,1),(68,1),(71,1),(103,1)}
        52:{1,3,7}:{(33,1),(40,1),(72,1),(73,1),(137,1),(138,1)}
        53:{2,3,6}:{(33,1),(34,1),(41,1),(73,1),(74,1),(113,1),(124,1),(126,1),(129,1)}
        54:{3,5}:{(34,1),(35,1),(75,1)}
        55:{1,3,6,7}:{(36,1),(38,1),(43,1),(67,1),(76,1),(77,1),(128,1)}
        56:{1,5,7}:{(36,1),(39,1),(44,1),(68,1)}
        57:{1,5,7}:{(37,1),(40,1),(78,1),(81,1),(130,1),(138,1)}
        58:{2,6}:{(37,1),(38,1),(78,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(45,1),(71,1),(77,1),(79,1),(80,1),(113,1)}
        60:{1,4,6}:{(40,1),(41,1),(73,1),(78,1),(81,1),(108,1)}
        61:{2,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,5}:{(42,1),(46,1),(75,1),(80,1),(82,1),(104,1),(108,1),(130,1),(136,1)}
        63:{3,5,7}:{(43,1),(44,1),(45,1),(83,1)}
        64:{4,6}:{(45,1),(46,1),(83,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(93,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(121,1)}
        68:{2,5,7}:{(48,1),(51,1),(56,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(52,1),(57,1),(84,1),(88,1),(89,1),(92,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(58,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(54,1),(86,1),(87,1),(90,1)}
        72:{2,7}:{(52,1),(91,1),(139,1)}
        73:{1,3,6}:{(52,1),(53,1),(60,1),(91,1),(92,1),(135,1)}
        74:{2,3,5}:{(53,1),(54,1),(61,1),(92,1),(93,1),(100,1),(123,1),(131,1),(132,1)}
        75:{4}:{(54,1)}
        76:{2,6,7}:{(55,1),(58,1),(94,1),(95,1),(134,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(87,1),(95,1),(96,1),(121,1)}
        78:{1,6}:{(57,1),(58,1)}
        79:{2,5,6}:{(58,1),(59,1),(61,1),(95,1),(97,1),(98,1)}
        80:{1,4,6}:{(59,1),(62,1),(64,1),(90,1),(96,1),(98,1),(135,1)}
        81:{1,5}:{(60,1),(61,1)}
        82:{2,4,5}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(118,1),(123,1)}
        83:{4,7}:{(63,1),(64,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(108,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(72,1),(101,1),(106,1),(107,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(78,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(75,1),(104,1),(105,1)}
        91:{2,6}:{(72,1),(73,1),(107,1)}
        92:{1,3,5}:{(73,1),(74,1),(81,1),(107,1),(108,1),(126,1),(130,1),(137,1)}
        93:{2,4}:{(74,1),(75,1),(108,1),(109,1),(136,1)}
        94:{1,6,7}:{(76,1),(78,1),(110,1),(138,1)}
        95:{2,5,7}:{(76,1),(77,1),(79,1),(110,1),(111,1)}
        96:{1,4,7}:{(77,1),(80,1),(83,1),(105,1),(111,1),(138,1)}
        97:{1,5,6}:{(78,1),(79,1),(81,1),(110,1),(112,1)}
        98:{2,4,6}:{(79,1),(80,1),(82,1),(111,1),(112,1),(113,1),(129,1)}
        99:{1,4,5}:{(81,1),(82,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(82,1),(109,1),(113,1),(126,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(118,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{2,5}:{(91,1),(92,1),(118,1),(139,1)}
       108:{1,4}:{(92,1),(93,1),(118,1)}
       109:{3,4}:{(93,1),(100,1)}
       110:{1,5,7}:{(94,1),(95,1),(97,1),(120,1)}
       111:{2,4,7}:{(95,1),(96,1),(98,1),(120,1),(121,1),(134,1)}
       112:{1,4,6}:{(97,1),(98,1),(99,1),(120,1),(122,1)}
       113:{3,6}:{(98,1),(100,1),(121,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(126,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{2,4}:{(107,1),(108,1),(126,1)}
       119:{1,3,4}:{(108,1),(109,1),(114,1),(126,1),(127,1),(137,1)}
       120:{1,4,7}:{(110,1),(111,1),(112,1),(128,1)}
       121:{3,7}:{(111,1),(113,1)}
       122:{1,3,6}:{(112,1),(113,1),(114,1),(128,1),(129,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{3}:{(118,1)}
       127:{2,4}:{(119,1),(123,1),(132,1),(133,1),(139,1)}
       128:{1,3,7}:{(120,1),(121,1),(122,1),(134,1)}
       129:{2,6}:{(122,1),(123,1),(134,1),(135,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,3}:{(126,1),(127,1),(137,1)}
       133:{1,4}:{(127,1),(130,1),(137,1)}
       134:{2,7}:{(128,1),(129,1),(138,1)}
       135:{1,6}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,3}:{(132,1),(133,1),(139,1)}
       138:{1,7}:{(134,1),(135,1)}
       139:{2}:{(137,1)}

 323 :   0:{2,3,6,7}:{(1,1),(2,1),(3,1),(46,1),(67,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(55,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(7,1),(8,1),(10,1),(31,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(54,1),(56,1)}
         4:{2,6,7}:{(1,1),(12,1),(67,1)}
         5:{1,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(15,1),(40,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(13,1),(14,1),(15,1),(35,1),(39,1),(66,1),(68,1)}
         7:{3,4,6,7}:{(2,1),(16,1),(20,1),(45,1),(46,1)}
         8:{2,5,7}:{(2,1),(13,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(46,1),(47,1),(65,1),(67,1),(69,1),(103,1)}
        10:{2,4,7}:{(3,1),(15,1),(19,1),(20,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(24,1),(49,1),(50,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(79,1)}
        13:{1,5,7}:{(5,1),(8,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(6,1),(9,1),(23,1),(25,1),(27,1),(48,1),(53,1),(55,1),(57,1),(78,1),(80,1),(81,1)}
        15:{1,4,7}:{(6,1),(10,1),(24,1),(27,1),(49,1)}
        16:{3,5,7}:{(7,1),(8,1),(29,1),(30,1)}
        17:{2,5,6}:{(8,1),(25,1),(29,1),(31,1),(100,1)}
        18:{2,4,5,7}:{(8,1),(10,1),(26,1),(30,1),(31,1),(32,1),(33,1),(56,1),(92,1),(100,1),(104,1)}
        19:{2,4,6}:{(9,1),(10,1),(27,1),(33,1),(34,1),(104,1)}
        20:{3,4,7}:{(10,1),(32,1),(34,1),(104,1)}
        21:{3,6,7}:{(11,1),(35,1),(39,1),(62,1)}
        22:{2,5,7}:{(11,1),(13,1),(35,1),(36,1)}
        23:{2,5,6}:{(12,1),(14,1),(38,1),(67,1),(69,1),(89,1)}
        24:{2,4,7}:{(12,1),(15,1),(38,1),(39,1)}
        25:{1,5,6}:{(13,1),(17,1),(36,1),(40,1),(96,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(37,1),(40,1),(41,1),(42,1),(68,1),(84,1),(96,1)}
        27:{1,4,6}:{(14,1),(15,1),(19,1),(38,1),(42,1),(60,1)}
        28:{1,3,4,7}:{(15,1),(20,1),(39,1),(41,1),(43,1),(44,1),(61,1),(66,1),(84,1),(98,1)}
        29:{3,5,6}:{(16,1),(17,1),(45,1),(46,1),(103,1)}
        30:{4,5,7}:{(16,1),(45,1)}
        31:{2,4,6}:{(17,1),(18,1),(40,1),(45,1),(46,1),(67,1)}
        32:{3,5,7}:{(18,1),(20,1),(46,1),(47,1),(98,1),(103,1)}
        33:{2,4,5}:{(19,1),(42,1),(47,1),(69,1),(99,1)}
        34:{3,4,6}:{(19,1),(20,1),(46,1),(47,1)}
        35:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(50,1),(90,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(50,1),(51,1),(52,1),(56,1),(71,1),(73,1),(90,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(52,1),(53,1)}
        39:{3,7}:{(24,1),(53,1)}
        40:{1,4,6}:{(25,1),(26,1),(31,1),(50,1),(55,1),(80,1)}
        41:{1,3,5,7}:{(26,1),(28,1),(32,1),(51,1),(55,1),(56,1),(57,1)}
        42:{1,4,5}:{(27,1),(33,1),(52,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        43:{1,3,4,6}:{(27,1),(28,1),(34,1),(53,1),(55,1),(57,1),(58,1),(72,1),(76,1),(78,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        44:{2,4,7}:{(28,1),(54,1),(56,1),(58,1),(59,1),(79,1)}
        45:{4,6}:{(29,1),(30,1),(104,1)}
        46:{3,6}:{(31,1),(32,1)}
        47:{3,5}:{(33,1),(34,1),(102,1)}
        48:{3,5,6}:{(35,1),(36,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(35,1),(60,1)}
        50:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(62,1),(67,1)}
        51:{3,5,7}:{(37,1),(39,1),(61,1),(62,1),(64,1),(82,1)}
        52:{2,4,5}:{(38,1),(42,1),(64,1),(69,1),(87,1)}
        53:{3,6}:{(38,1),(39,1),(64,1)}
        54:{2,3,7}:{(39,1),(44,1),(65,1),(66,1),(98,1)}
        55:{1,3,6}:{(40,1),(41,1),(46,1),(62,1),(67,1)}
        56:{2,5,7}:{(41,1),(44,1),(67,1),(68,1),(69,1)}
        57:{1,3,5}:{(42,1),(43,1),(47,1),(64,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(43,1),(44,1),(65,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(44,1),(66,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(76,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(54,1),(56,1),(73,1),(74,1),(75,1),(77,1),(90,1)}
        64:{3,5}:{(52,1),(53,1),(76,1)}
        65:{2,3,6}:{(53,1),(54,1),(58,1),(77,1),(78,1),(101,1),(102,1)}
        66:{1,3,7}:{(54,1),(59,1),(78,1),(79,1)}
        67:{2,6}:{(55,1),(56,1),(80,1)}
        68:{1,5,7}:{(56,1),(59,1),(80,1),(81,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(78,1),(80,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(67,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(66,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{3,4}:{(64,1),(87,1)}
        77:{2,3,5}:{(64,1),(65,1),(69,1),(87,1),(88,1),(103,1)}
        78:{1,3,6}:{(65,1),(66,1),(70,1),(88,1),(89,1)}
        79:{2,7}:{(66,1),(89,1)}
        80:{1,6}:{(67,1),(68,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(80,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(79,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(76,1),(77,1),(94,1),(104,1)}
        88:{1,3,5}:{(77,1),(78,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(78,1),(79,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 324 :   0:{4,5,7}:{(3,1),(4,1),(23,1),(27,1),(50,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(50,1),(77,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(77,1),(101,1)}
         3:{3,5,7}:{(0,1),(1,1),(9,1),(10,1),(15,1)}
         4:{4,6}:{(0,1),(10,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(9,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(10,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(113,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{2,5,7}:{(3,1),(5,1),(19,1),(20,1),(26,1)}
        10:{3,6}:{(3,1),(4,1),(20,1)}
        11:{4,6,7}:{(4,1),(21,1),(23,1),(50,1),(145,1)}
        12:{5,6}:{(4,1),(23,1)}
        13:{1,4,7}:{(5,1),(7,1),(19,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(20,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{1,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1)}
        20:{2,6}:{(9,1),(10,1),(32,1)}
        21:{3,6,7}:{(10,1),(11,1),(33,1),(35,1),(143,1)}
        22:{3,5,6}:{(10,1),(12,1),(15,1),(34,1),(35,1),(36,1),(64,1),(138,1),(143,1),(146,1)}
        23:{5,7}:{(11,1),(12,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(31,1),(37,1),(38,1),(57,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(32,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,5,7}:{(19,1),(24,1),(44,1),(45,1),(52,1)}
        32:{1,6}:{(19,1),(20,1),(45,1)}
        33:{2,6,7}:{(20,1),(21,1),(46,1),(48,1),(140,1)}
        34:{2,5,6}:{(20,1),(22,1),(26,1),(47,1),(48,1),(49,1),(133,1),(140,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(48,1),(50,1),(77,1)}
        36:{4,6}:{(22,1),(27,1),(50,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(45,1),(51,1),(52,1),(55,1),(70,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(49,1),(53,1),(54,1),(80,1),(123,1),(133,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{3,5,7}:{(31,1),(37,1),(57,1),(58,1),(65,1),(84,1)}
        45:{2,6}:{(31,1),(32,1),(58,1)}
        46:{1,6,7}:{(32,1),(33,1),(59,1),(61,1),(136,1)}
        47:{1,5,6}:{(32,1),(34,1),(39,1),(60,1),(61,1),(62,1),(126,1),(136,1)}
        48:{2,5,7}:{(33,1),(34,1),(35,1),(61,1),(63,1)}
        49:{2,4,6}:{(34,1),(36,1),(40,1),(62,1),(63,1),(64,1),(90,1)}
        50:{4,7}:{(35,1),(36,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(84,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(62,1),(66,1),(67,1),(93,1),(114,1),(126,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{4,7}:{(44,1),(70,1),(78,1)}
        58:{3,6}:{(44,1),(45,1),(70,1)}
        59:{2,6,7}:{(45,1),(46,1),(71,1),(73,1),(131,1)}
        60:{2,5,6}:{(45,1),(47,1),(52,1),(72,1),(73,1),(74,1),(118,1),(131,1)}
        61:{1,5,7}:{(46,1),(47,1),(48,1),(73,1),(75,1)}
        62:{1,4,6}:{(47,1),(49,1),(53,1),(74,1),(75,1),(76,1),(102,1)}
        63:{2,4,7}:{(48,1),(49,1),(50,1),(75,1),(77,1),(101,1)}
        64:{3,6}:{(49,1),(54,1),(77,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(74,1),(78,1),(79,1),(80,1),(96,1),(103,1),(118,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(76,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(59,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(60,1),(65,1),(84,1),(85,1),(86,1),(88,1),(106,1),(108,1),(124,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(85,1),(87,1)}
        74:{2,4,6}:{(60,1),(62,1),(66,1),(86,1),(87,1),(88,1),(90,1)}
        75:{1,4,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(113,1)}
        76:{1,3,6}:{(62,1),(64,1),(67,1),(88,1),(89,1),(90,1)}
        77:{3,7}:{(63,1),(64,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(88,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(73,1),(95,1),(97,1),(99,1)}
        86:{4,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,4,7}:{(73,1),(74,1),(75,1),(97,1),(99,1),(101,1)}
        88:{3,6}:{(74,1),(79,1),(99,1)}
        89:{1,3,7}:{(75,1),(76,1),(77,1),(99,1),(101,1)}
        90:{2,6}:{(76,1),(80,1),(101,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(100,1),(103,1),(104,1),(118,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(88,1),(91,1),(108,1),(109,1),(110,1),(124,1)}
        99:{3,7}:{(87,1),(88,1)}
       100:{2,3,6}:{(88,1),(90,1),(92,1),(110,1),(111,1),(112,1)}
       101:{2,7}:{(89,1),(90,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(113,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(112,1),(114,1),(115,1),(126,1),(130,1),(138,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(99,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(100,1),(103,1),(118,1),(119,1),(120,1),(131,1)}
       111:{2,3,7}:{(99,1),(100,1),(101,1),(119,1),(121,1)}
       112:{1,3,6}:{(100,1),(102,1),(104,1),(120,1),(121,1),(122,1),(135,1)}
       113:{1,7}:{(101,1),(102,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(112,1),(114,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(111,1),(112,1),(113,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(112,1),(115,1),(129,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 325 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 326 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(19,1),(27,1),(31,1),(50,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(50,1),(83,1)}
         2:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(17,1),(43,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(35,1),(69,1)}
         5:{1,3,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(97,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(17,1),(42,1),(75,1),(76,1)}
         7:{2,3,7}:{(1,1),(11,1),(16,1),(69,1),(98,1)}
         8:{3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(50,1),(60,1),(136,1),(144,1),(146,1)}
         9:{1,4,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(30,1),(59,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(7,1),(23,1),(25,1)}
        12:{4,5}:{(3,1),(19,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(54,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(23,1),(29,1),(55,1),(110,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,5,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(43,1),(131,1),(142,1)}
        19:{4,6}:{(8,1),(12,1),(35,1),(140,1)}
        20:{3,5,7}:{(8,1),(34,1),(35,1),(36,1),(69,1),(70,1)}
        21:{2,4,6}:{(9,1),(14,1),(37,1),(38,1),(39,1),(45,1),(71,1),(74,1),(100,1)}
        22:{1,5}:{(9,1),(10,1),(38,1)}
        23:{1,4,7}:{(9,1),(11,1),(16,1),(39,1),(41,1)}
        24:{2,4,5}:{(10,1),(12,1),(17,1),(33,1),(40,1),(42,1),(75,1),(122,1),(131,1),(140,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(41,1),(43,1)}
        26:{4,5,7}:{(12,1),(13,1),(35,1),(44,1),(70,1)}
        27:{3,6}:{(13,1),(43,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(71,1)}
        31:{3,4}:{(17,1),(42,1),(140,1)}
        32:{1,5,6}:{(18,1),(22,1),(47,1),(48,1),(49,1),(59,1),(123,1),(138,1)}
        33:{2,4,6}:{(18,1),(19,1),(24,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,5,7}:{(18,1),(20,1),(49,1),(51,1),(52,1)}
        35:{4,7}:{(19,1),(20,1)}
        36:{3,6,7}:{(20,1),(27,1),(52,1),(53,1),(144,1)}
        37:{3,6}:{(21,1),(54,1),(55,1),(61,1)}
        38:{2,5}:{(21,1),(22,1),(54,1),(112,1)}
        39:{2,4,7}:{(21,1),(23,1),(29,1),(55,1),(57,1),(86,1)}
        40:{1,4,5}:{(22,1),(24,1),(30,1),(48,1),(56,1),(58,1),(89,1),(111,1),(123,1)}
        41:{1,5,7}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        42:{3,5}:{(24,1),(31,1),(50,1),(130,1)}
        43:{2,6}:{(25,1),(27,1),(59,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(58,1),(61,1),(62,1),(85,1),(90,1),(111,1),(130,1)}
        47:{2,5,6}:{(32,1),(38,1),(63,1),(64,1),(65,1),(74,1),(114,1),(133,1)}
        48:{1,4,6}:{(32,1),(33,1),(40,1),(64,1),(66,1),(67,1),(97,1)}
        49:{1,5,7}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{3,6}:{(33,1),(42,1),(69,1)}
        51:{2,4,7}:{(33,1),(34,1),(35,1),(67,1),(69,1),(98,1)}
        52:{2,6,7}:{(34,1),(36,1),(43,1),(68,1),(142,1)}
        53:{4,6,7}:{(35,1),(36,1),(44,1),(70,1),(145,1)}
        54:{3,5}:{(37,1),(38,1),(71,1)}
        55:{3,7}:{(37,1),(39,1)}
        56:{2,4,5}:{(38,1),(40,1),(45,1),(64,1),(71,1),(73,1),(75,1),(91,1),(99,1),(114,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1),(74,1)}
        58:{1,3,5}:{(40,1),(42,1),(46,1),(66,1),(73,1),(75,1)}
        59:{1,6}:{(41,1),(43,1),(74,1)}
        60:{5,6}:{(44,1),(70,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(75,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(54,1),(78,1),(79,1),(80,1),(87,1),(103,1),(112,1),(125,1),(126,1)}
        64:{2,4,6}:{(47,1),(48,1),(56,1),(78,1),(80,1),(81,1),(83,1)}
        65:{2,5,7}:{(47,1),(49,1),(79,1),(81,1),(82,1)}
        66:{1,3,6}:{(48,1),(50,1),(58,1),(80,1),(83,1),(84,1)}
        67:{1,4,7}:{(48,1),(49,1),(51,1),(81,1),(84,1),(110,1)}
        68:{1,6,7}:{(49,1),(52,1),(59,1),(82,1),(138,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{5,7}:{(53,1),(60,1),(146,1)}
        71:{4}:{(54,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(86,1),(87,1),(112,1)}
        73:{3,5}:{(56,1),(61,1),(80,1),(85,1)}
        74:{2,6}:{(57,1),(59,1),(87,1)}
        75:{2,5}:{(58,1),(62,1),(83,1),(89,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(130,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(71,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(65,1),(93,1),(94,1),(96,1),(119,1)}
        80:{3,6}:{(64,1),(73,1),(96,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(93,1),(96,1),(98,1)}
        82:{2,6,7}:{(65,1),(68,1),(74,1),(94,1),(133,1)}
        83:{2,6}:{(66,1),(75,1),(97,1),(98,1)}
        84:{1,3,7}:{(66,1),(67,1),(69,1),(96,1),(98,1)}
        85:{3,4}:{(71,1),(73,1),(99,1)}
        86:{4,7}:{(71,1),(72,1),(100,1)}
        87:{3,6}:{(72,1),(74,1),(100,1)}
        88:{2,3,5}:{(73,1),(75,1),(76,1),(95,1),(99,1),(101,1),(114,1)}
        89:{1,5}:{(75,1),(77,1),(97,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(112,1)}
        92:{3,4,6}:{(78,1),(80,1),(85,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(87,1),(107,1),(125,1)}
        95:{2,3,6}:{(80,1),(83,1),(88,1),(105,1),(108,1),(109,1)}
        96:{3,7}:{(80,1),(81,1)}
        97:{1,6}:{(83,1),(89,1),(110,1)}
        98:{2,7}:{(83,1),(84,1),(110,1)}
        99:{2,4}:{(85,1),(88,1),(111,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{1,3,5}:{(88,1),(89,1),(90,1),(108,1),(111,1),(113,1),(123,1),(130,1),(136,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(99,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(96,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(100,1),(116,1),(119,1)}
       108:{1,3,6}:{(95,1),(97,1),(101,1),(117,1),(120,1),(121,1),(134,1)}
       109:{2,3,7}:{(95,1),(96,1),(98,1),(118,1),(121,1)}
       110:{1,7}:{(97,1),(98,1)}
       111:{1,4}:{(99,1),(101,1),(122,1),(140,1)}
       112:{5}:{(100,1)}
       113:{2,5}:{(101,1),(102,1),(120,1),(122,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(111,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(109,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(112,1),(126,1)}
       120:{2,6}:{(108,1),(113,1),(129,1)}
       121:{1,3,7}:{(108,1),(109,1),(110,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(111,1),(113,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 327 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(33,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(52,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(53,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(39,1),(46,1),(77,1),(83,1),(101,1),(109,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(72,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(52,1),(56,1),(64,1),(84,1),(95,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(22,1),(30,1),(100,1),(115,1),(120,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(22,1),(24,1),(53,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(95,1),(115,1),(120,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(22,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(33,1),(42,1),(65,1),(71,1),(81,1),(83,1),(103,1),(104,1),(106,1),(109,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(33,1),(34,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(34,1),(36,1),(72,1)}
        22:{3,6}:{(11,1),(12,1)}
        23:{2,4,6,7}:{(12,1),(35,1),(37,1),(39,1),(73,1),(77,1),(109,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(33,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(34,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(49,1),(61,1),(86,1),(100,1),(120,1)}
        32:{2,4,6}:{(19,1),(21,1),(49,1),(51,1),(53,1),(90,1)}
        33:{2,5,7}:{(20,1),(27,1),(52,1),(53,1),(63,1),(123,1),(132,1)}
        34:{1,3,6}:{(20,1),(21,1),(22,1),(49,1),(53,1)}
        35:{1,4,6,7}:{(21,1),(23,1),(50,1),(54,1),(56,1),(91,1),(95,1),(118,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(56,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(120,1)}
        38:{3,5,6}:{(22,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        39:{2,5,7}:{(23,1),(24,1),(56,1),(57,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(120,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(52,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(53,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(106,1),(113,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(40,1),(65,1),(67,1),(68,1),(80,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(35,1),(69,1),(71,1),(73,1),(106,1),(109,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(70,1),(71,1),(103,1)}
        52:{1,5,7}:{(33,1),(43,1),(72,1),(82,1),(130,1),(137,1)}
        53:{2,6}:{(33,1),(34,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(37,1),(69,1),(73,1),(75,1),(126,1)}
        55:{1,3,5,6}:{(34,1),(36,1),(38,1),(45,1),(70,1),(74,1),(75,1),(76,1),(110,1)}
        56:{1,5,7}:{(35,1),(36,1),(39,1),(71,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(38,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(72,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(59,1),(84,1),(87,1),(88,1),(97,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(53,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(120,1)}
        70:{3,5,6}:{(49,1),(51,1),(61,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(56,1),(89,1)}
        72:{1,6}:{(52,1),(53,1)}
        73:{2,6,7}:{(53,1),(54,1),(91,1),(93,1),(132,1)}
        74:{2,5,6}:{(53,1),(55,1),(63,1),(92,1),(93,1),(94,1)}
        75:{1,3,5,7}:{(54,1),(55,1),(56,1),(57,1),(89,1),(93,1),(95,1),(120,1)}
        76:{1,4,6}:{(55,1),(58,1),(64,1),(90,1),(94,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(94,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(78,1),(101,1),(105,1),(111,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(81,1),(104,1),(106,1)}
        91:{1,6,7}:{(72,1),(73,1),(107,1),(137,1)}
        92:{1,5,6}:{(72,1),(74,1),(82,1),(107,1),(108,1)}
        93:{2,5,7}:{(73,1),(74,1),(75,1),(107,1),(109,1)}
        94:{2,4,6}:{(74,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        95:{1,4,7}:{(75,1),(76,1),(77,1),(106,1),(109,1),(137,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{1,5,7}:{(91,1),(92,1),(93,1),(118,1)}
       108:{1,4,6}:{(92,1),(94,1),(99,1),(118,1),(119,1)}
       109:{2,4,7}:{(93,1),(94,1),(95,1),(118,1),(120,1),(132,1)}
       110:{3,6}:{(94,1),(100,1),(120,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{1,3,6}:{(108,1),(110,1),(114,1),(126,1),(127,1)}
       120:{3,7}:{(109,1),(110,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(119,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 328 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(19,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(20,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(36,1),(39,1),(44,1),(47,1),(72,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(72,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(109,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(18,1),(19,1),(20,1),(27,1),(55,1)}
        10:{1,3,5}:{(4,1),(19,1),(22,1),(53,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(20,1),(23,1),(29,1),(56,1),(64,1),(93,1),(175,1)}
        12:{1,3,6}:{(5,1),(18,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(19,1),(25,1),(27,1),(53,1),(90,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(20,1),(26,1),(93,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(128,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(55,1)}
        18:{1,4,6}:{(9,1),(12,1),(31,1),(32,1),(42,1),(71,1)}
        19:{2,5}:{(9,1),(10,1),(31,1)}
        20:{2,4,7}:{(9,1),(11,1),(14,1),(32,1),(35,1),(180,1)}
        21:{1,3,5,6}:{(10,1),(33,1),(36,1),(37,1),(39,1),(72,1),(78,1),(115,1)}
        22:{1,4,5}:{(10,1),(15,1),(34,1),(36,1),(109,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(35,1),(38,1),(39,1),(75,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(31,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(32,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(35,1),(43,1),(45,1),(46,1),(75,1),(86,1),(110,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(143,1)}
        31:{1,5}:{(18,1),(19,1)}
        32:{1,4,7}:{(18,1),(20,1),(26,1),(50,1),(185,1)}
        33:{2,5,6}:{(19,1),(21,1),(48,1),(51,1),(52,1),(55,1)}
        34:{2,4,5}:{(19,1),(22,1),(27,1),(49,1),(51,1),(53,1),(90,1)}
        35:{2,5,7}:{(19,1),(20,1),(23,1),(50,1),(55,1),(176,1),(182,1)}
        36:{1,4,6}:{(21,1),(22,1),(51,1),(56,1),(124,1),(132,1)}
        37:{1,3,5,7}:{(21,1),(52,1),(56,1),(57,1),(93,1),(97,1),(131,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(54,1),(56,1),(58,1),(66,1),(97,1),(128,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(55,1),(58,1),(95,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(90,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(50,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(53,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(55,1),(63,1),(65,1),(95,1),(129,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(33,1),(67,1),(68,1),(71,1)}
        49:{1,4,5}:{(31,1),(34,1),(42,1),(67,1),(69,1)}
        50:{1,5,7}:{(31,1),(32,1),(35,1),(71,1),(181,1),(186,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(67,1),(72,1),(73,1),(106,1)}
        52:{2,5,7}:{(33,1),(37,1),(68,1),(73,1),(74,1)}
        53:{3,5}:{(34,1),(44,1),(72,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(38,1),(45,1),(70,1),(73,1),(75,1),(76,1),(86,1),(110,1),(114,1),(123,1),(146,1),(152,1),(164,1)}
        55:{2,6}:{(35,1),(39,1),(71,1)}
        56:{1,4,7}:{(36,1),(37,1),(73,1),(140,1),(146,1)}
        57:{1,3,6,7}:{(37,1),(39,1),(74,1),(77,1),(113,1),(177,1)}
        58:{1,4,6}:{(38,1),(39,1),(76,1),(78,1),(143,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(110,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(69,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(71,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(75,1),(85,1),(146,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(51,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(52,1),(88,1),(89,1)}
        69:{1,3,5}:{(49,1),(53,1),(61,1),(87,1),(90,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(54,1),(62,1),(88,1),(91,1),(92,1),(104,1),(127,1),(139,1),(155,1)}
        71:{1,6}:{(50,1),(55,1)}
        72:{3,6}:{(51,1),(53,1),(93,1)}
        73:{2,4,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(125,1)}
        74:{2,6,7}:{(52,1),(55,1),(57,1),(89,1),(182,1)}
        75:{3,5,7}:{(53,1),(54,1),(64,1),(93,1),(95,1),(105,1),(162,1),(172,1)}
        76:{2,4,6}:{(54,1),(55,1),(58,1),(92,1),(95,1),(96,1),(129,1),(132,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(58,1),(94,1),(97,1),(153,1),(171,1)}
        78:{1,5,6}:{(58,1),(66,1),(96,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(129,1)}
        82:{2,4}:{(61,1),(90,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(91,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(95,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(72,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(73,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(74,1),(186,1)}
        90:{2,5}:{(69,1),(82,1),(106,1),(109,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(75,1),(83,1),(107,1),(110,1),(111,1),(122,1)}
        92:{1,4,6}:{(70,1),(71,1),(76,1),(111,1),(112,1)}
        93:{3,7}:{(72,1),(73,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(77,1),(108,1),(113,1),(114,1),(141,1),(146,1),(164,1)}
        95:{3,6}:{(75,1),(76,1)}
        96:{2,5,6}:{(76,1),(78,1),(86,1),(112,1),(114,1),(115,1)}
        97:{1,5,7}:{(77,1),(78,1),(114,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(109,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(110,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(111,1),(118,1),(121,1),(122,1),(145,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(90,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(93,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(92,1),(94,1),(126,1),(127,1),(155,1)}
       109:{1,5}:{(90,1),(101,1),(124,1)}
       110:{2,5,7}:{(90,1),(91,1),(102,1),(125,1),(128,1),(129,1),(138,1)}
       111:{1,3,6}:{(91,1),(92,1),(95,1),(129,1)}
       112:{1,5,6}:{(92,1),(96,1),(104,1),(127,1)}
       113:{3,6,7}:{(93,1),(94,1),(95,1),(131,1),(172,1)}
       114:{2,5,7}:{(94,1),(96,1),(97,1),(127,1),(131,1)}
       115:{3,5,6}:{(95,1),(96,1),(105,1),(131,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(128,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(129,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(109,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(111,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(112,1),(114,1)}
       128:{1,5,7}:{(109,1),(110,1),(120,1),(140,1),(143,1),(151,1)}
       129:{2,6}:{(110,1),(111,1),(143,1)}
       130:{1,3,5,6}:{(111,1),(112,1),(115,1),(122,1),(142,1),(144,1),(145,1),(166,1)}
       131:{3,5,7}:{(113,1),(114,1),(115,1),(146,1)}
       132:{4,6}:{(115,1),(123,1),(146,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(143,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(145,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(129,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(130,1),(131,1),(154,1),(155,1),(172,1)}
       143:{1,6}:{(128,1),(129,1)}
       144:{2,5,6}:{(129,1),(130,1),(138,1),(154,1),(156,1),(157,1)}
       145:{1,4,6}:{(130,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       146:{4,7}:{(131,1),(132,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(143,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(144,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(145,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(143,1),(144,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(144,1),(145,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 329 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(10,1),(16,1),(174,1)}
         1:{1,3,7}:{(0,1),(5,1),(7,1),(166,1),(179,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(8,1),(9,1),(20,1),(142,1),(167,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(21,1),(31,1),(32,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(16,1),(47,1),(84,1),(124,1),(175,1)}
         5:{2,3,7}:{(1,1),(10,1),(13,1),(15,1),(124,1),(154,1),(184,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1),(114,1),(125,1),(157,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(18,1),(155,1)}
         8:{1,2,6}:{(2,1),(17,1),(36,1)}
         9:{1,2,5}:{(3,1),(18,1),(37,1),(50,1),(159,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(20,1),(22,1),(23,1),(24,1),(54,1),(170,1),(177,1)}
        12:{1,3,4,6}:{(4,1),(7,1),(21,1),(23,1),(24,1),(31,1),(32,1),(62,1),(69,1),(71,1),(104,1)}
        13:{1,3,7}:{(5,1),(19,1),(25,1),(27,1),(187,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(26,1),(28,1),(29,1),(30,1),(54,1),(70,1),(93,1),(105,1),(144,1)}
        15:{2,3,6}:{(5,1),(7,1),(21,1),(27,1),(30,1),(104,1),(139,1)}
        16:{1,4,7}:{(6,1),(28,1),(31,1),(32,1),(168,1)}
        17:{1,3,6}:{(6,1),(8,1),(29,1),(31,1),(133,1)}
        18:{1,3,5}:{(7,1),(9,1),(30,1),(32,1),(140,1),(146,1)}
        19:{1,4,7}:{(10,1),(13,1),(33,1),(34,1),(185,1)}
        20:{2,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(176,1),(182,1)}
        21:{2,4,6}:{(10,1),(12,1),(15,1),(34,1),(36,1),(37,1),(49,1)}
        22:{1,4,5,7}:{(11,1),(16,1),(35,1),(38,1),(41,1),(50,1),(83,1),(84,1),(114,1),(160,1),(171,1)}
        23:{1,3,6}:{(11,1),(36,1),(38,1),(77,1)}
        24:{1,3,5}:{(12,1),(37,1),(41,1),(50,1),(82,1),(92,1)}
        25:{1,2,7}:{(13,1),(43,1),(154,1),(188,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(33,1),(42,1),(44,1),(45,1),(46,1),(85,1),(90,1),(127,1)}
        27:{1,3,6}:{(13,1),(15,1),(34,1),(43,1),(46,1)}
        28:{2,4,7}:{(14,1),(16,1),(44,1),(47,1),(48,1),(49,1),(158,1)}
        29:{2,3,6}:{(14,1),(17,1),(36,1),(45,1),(48,1),(77,1),(115,1)}
        30:{2,3,5}:{(15,1),(18,1),(37,1),(46,1),(49,1),(82,1),(121,1),(128,1)}
        31:{1,4,6}:{(16,1),(17,1),(48,1),(50,1)}
        32:{1,4}:{(18,1),(49,1)}
        33:{1,5,7}:{(19,1),(20,1),(52,1),(53,1),(181,1),(186,1)}
        34:{1,4,6}:{(19,1),(21,1),(27,1),(52,1),(53,1),(68,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(28,1),(51,1),(54,1),(55,1),(58,1),(70,1),(93,1),(102,1),(103,1),(113,1),(141,1),(148,1),(164,1)}
        36:{2,6}:{(20,1),(23,1),(52,1)}
        37:{2,5}:{(21,1),(24,1),(53,1)}
        38:{1,4,6}:{(22,1),(23,1),(55,1),(60,1),(133,1)}
        39:{1,3,6,7}:{(23,1),(56,1),(59,1),(61,1),(100,1),(177,1)}
        40:{1,3,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1),(62,1),(101,1),(104,1)}
        41:{1,4,5}:{(24,1),(32,1),(58,1),(62,1),(113,1),(140,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(63,1),(64,1),(65,1),(93,1),(107,1)}
        43:{1,2,6}:{(25,1),(27,1),(65,1),(139,1)}
        44:{1,4,7}:{(26,1),(28,1),(67,1),(68,1),(145,1)}
        45:{1,3,6}:{(26,1),(29,1),(52,1),(64,1),(67,1)}
        46:{1,3,5}:{(27,1),(30,1),(53,1),(65,1),(68,1),(108,1)}
        47:{3,4,7}:{(28,1),(54,1),(69,1),(71,1),(141,1),(169,1)}
        48:{2,4,6}:{(28,1),(29,1),(31,1),(67,1),(69,1),(70,1)}
        49:{2,4}:{(30,1),(32,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(76,1),(90,1),(118,1),(119,1),(131,1),(153,1)}
        52:{1,6}:{(33,1),(36,1)}
        53:{1,5}:{(34,1),(37,1)}
        54:{3,5,7}:{(35,1),(47,1),(77,1),(82,1),(92,1),(124,1),(161,1),(173,1)}
        55:{2,4,6}:{(35,1),(36,1),(38,1),(73,1),(77,1),(79,1),(115,1),(123,1)}
        56:{2,6,7}:{(36,1),(39,1),(74,1),(80,1),(182,1)}
        57:{2,5,6}:{(36,1),(37,1),(40,1),(75,1),(80,1),(81,1)}
        58:{2,4,5}:{(37,1),(41,1),(49,1),(76,1),(81,1),(82,1),(121,1)}
        59:{1,4,6,7}:{(38,1),(39,1),(78,1),(83,1),(84,1),(149,1),(171,1)}
        60:{1,5,6}:{(38,1),(50,1),(79,1),(83,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(80,1),(83,1),(84,1),(122,1),(124,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(84,1),(123,1),(155,1)}
        63:{1,2,4,7}:{(42,1),(44,1),(85,1),(86,1),(87,1),(88,1)}
        64:{1,2,6}:{(42,1),(45,1),(115,1)}
        65:{1,2,5}:{(43,1),(46,1),(87,1),(121,1)}
        66:{1,3,4,7}:{(44,1),(47,1),(72,1),(85,1),(88,1),(89,1),(91,1),(153,1),(173,1)}
        67:{1,4,6}:{(44,1),(45,1),(48,1),(90,1)}
        68:{1,4}:{(46,1),(49,1)}
        69:{3,4,6}:{(47,1),(48,1),(77,1),(92,1),(123,1)}
        70:{2,5}:{(48,1),(50,1),(90,1),(92,1)}
        71:{3,4}:{(49,1),(82,1)}
        72:{1,3,5,7}:{(51,1),(54,1),(66,1),(93,1),(94,1),(99,1),(111,1),(138,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1),(94,1),(96,1)}
        74:{1,6,7}:{(52,1),(56,1),(97,1),(186,1)}
        75:{1,5,6}:{(52,1),(53,1),(57,1),(97,1),(98,1)}
        76:{1,4,5}:{(53,1),(58,1),(68,1),(98,1),(99,1)}
        77:{3,6}:{(54,1),(55,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(59,1),(95,1),(100,1),(102,1),(103,1),(134,1),(141,1),(164,1)}
        79:{2,5,6}:{(55,1),(60,1),(70,1),(96,1),(101,1),(102,1)}
        80:{2,5,7}:{(56,1),(57,1),(61,1),(97,1),(103,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(103,1),(104,1),(139,1)}
        82:{3,5}:{(58,1),(71,1),(104,1)}
        83:{1,5,7}:{(59,1),(60,1),(102,1)}
        84:{1,4,7}:{(61,1),(62,1),(103,1),(141,1),(166,1)}
        85:{1,3,7}:{(63,1),(105,1),(106,1),(108,1),(186,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(67,1),(106,1),(107,1),(110,1),(145,1)}
        87:{1,2,4}:{(65,1),(68,1),(108,1),(112,1)}
        88:{2,4,7}:{(66,1),(93,1),(105,1),(109,1),(110,1),(112,1)}
        89:{1,3,4,6}:{(66,1),(67,1),(69,1),(94,1),(106,1),(110,1),(111,1),(137,1),(145,1),(165,1),(169,1)}
        90:{1,5}:{(67,1),(70,1)}
        91:{1,3,4}:{(68,1),(71,1),(99,1),(108,1),(112,1)}
        92:{3,5}:{(69,1),(70,1),(113,1)}
        93:{2,5,7}:{(72,1),(88,1),(114,1),(115,1),(121,1),(130,1),(154,1)}
        94:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
        95:{1,4,6,7}:{(73,1),(74,1),(78,1),(116,1),(118,1),(119,1),(153,1)}
        96:{1,5,6}:{(73,1),(79,1),(90,1),(118,1)}
        97:{1,5,7}:{(74,1),(75,1),(80,1),(119,1)}
        98:{1,4,6}:{(75,1),(76,1),(81,1),(119,1),(120,1)}
        99:{1,3,5}:{(76,1),(82,1),(91,1),(120,1),(121,1)}
       100:{3,6,7}:{(77,1),(78,1),(122,1),(124,1),(173,1)}
       101:{3,5,6}:{(77,1),(79,1),(92,1),(122,1),(123,1)}
       102:{2,5,7}:{(78,1),(79,1),(83,1),(118,1),(122,1)}
       103:{2,4,7}:{(80,1),(81,1),(84,1),(119,1),(124,1),(154,1)}
       104:{3,6}:{(81,1),(82,1),(124,1)}
       105:{2,3,7}:{(85,1),(88,1),(125,1),(126,1),(128,1),(173,1),(182,1)}
       106:{1,3,6}:{(85,1),(86,1),(126,1),(127,1),(183,1)}
       107:{1,2,5}:{(86,1),(90,1),(127,1),(130,1),(188,1)}
       108:{1,3}:{(87,1),(128,1)}
       109:{1,4,7}:{(88,1),(114,1),(125,1),(129,1),(132,1)}
       110:{2,4,6}:{(88,1),(89,1),(115,1),(126,1),(129,1),(130,1),(158,1)}
       111:{1,3,5}:{(89,1),(90,1),(92,1),(130,1),(131,1),(161,1)}
       112:{2,4}:{(91,1),(121,1),(128,1),(132,1)}
       113:{4,5}:{(92,1),(123,1)}
       114:{1,5,7}:{(93,1),(109,1),(133,1),(140,1),(147,1),(166,1)}
       115:{2,6}:{(93,1),(94,1),(133,1)}
       116:{1,3,6,7}:{(94,1),(95,1),(100,1),(134,1),(136,1),(138,1)}
       117:{1,3,5,6}:{(94,1),(96,1),(101,1),(111,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,5,7}:{(95,1),(96,1),(102,1)}
       119:{1,4,7}:{(97,1),(98,1),(103,1),(138,1)}
       120:{1,3,6}:{(98,1),(99,1),(104,1),(138,1),(139,1)}
       121:{2,5}:{(99,1),(112,1),(139,1),(140,1)}
       122:{3,5,7}:{(100,1),(101,1),(102,1),(141,1)}
       123:{4,6}:{(101,1),(113,1),(141,1)}
       124:{3,7}:{(103,1),(104,1)}
       125:{1,3,7}:{(105,1),(109,1),(142,1),(143,1),(146,1)}
       126:{2,3,6}:{(105,1),(106,1),(110,1),(143,1),(144,1),(165,1),(178,1)}
       127:{1,3,5}:{(106,1),(107,1),(144,1),(145,1),(181,1),(187,1)}
       128:{2,3}:{(108,1),(112,1),(146,1)}
       129:{1,4,6}:{(109,1),(110,1),(133,1),(143,1),(147,1),(168,1)}
       130:{2,5}:{(110,1),(111,1),(147,1)}
       131:{1,4,5}:{(111,1),(113,1),(137,1),(145,1),(148,1),(181,1)}
       132:{1,4}:{(112,1),(140,1),(146,1)}
       133:{1,6}:{(114,1),(115,1)}
       134:{2,6,7}:{(115,1),(116,1),(149,1),(151,1),(154,1)}
       135:{2,5,6}:{(115,1),(117,1),(130,1),(150,1),(151,1),(152,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(151,1),(153,1),(173,1)}
       137:{1,4,6}:{(117,1),(123,1),(131,1),(152,1),(153,1),(183,1)}
       138:{1,3,7}:{(119,1),(120,1),(124,1),(154,1)}
       139:{2,6}:{(120,1),(121,1),(154,1),(155,1)}
       140:{1,5}:{(121,1),(132,1),(155,1)}
       141:{4,7}:{(122,1),(123,1)}
       142:{1,2,7}:{(125,1),(156,1),(159,1),(182,1)}
       143:{1,3,6}:{(125,1),(126,1),(129,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(130,1),(157,1),(158,1),(161,1),(176,1),(184,1)}
       145:{1,4}:{(127,1),(158,1)}
       146:{1,3}:{(128,1),(132,1),(159,1)}
       147:{1,5}:{(129,1),(130,1)}
       148:{2,4,5}:{(130,1),(131,1),(152,1),(158,1),(160,1),(161,1),(176,1)}
       149:{1,6,7}:{(133,1),(134,1),(162,1),(166,1)}
       150:{1,5,6}:{(133,1),(135,1),(147,1),(162,1),(163,1)}
       151:{2,5,7}:{(134,1),(135,1),(136,1),(162,1),(164,1)}
       152:{2,4,6}:{(135,1),(137,1),(148,1),(163,1),(164,1),(165,1),(178,1)}
       153:{1,4,7}:{(136,1),(137,1),(141,1),(164,1),(186,1)}
       154:{2,7}:{(138,1),(139,1),(166,1)}
       155:{1,6}:{(139,1),(140,1),(166,1)}
       156:{1,2,6}:{(142,1),(143,1),(167,1),(178,1)}
       157:{1,3,5}:{(143,1),(144,1),(147,1),(167,1),(168,1),(179,1)}
       158:{2,4}:{(144,1),(145,1),(168,1),(169,1)}
       159:{1,2}:{(146,1)}
       160:{1,4,5}:{(147,1),(148,1),(163,1),(168,1),(170,1)}
       161:{3,5}:{(148,1),(165,1),(169,1)}
       162:{1,5,7}:{(149,1),(150,1),(151,1),(171,1)}
       163:{1,4,6}:{(150,1),(152,1),(160,1),(171,1),(172,1)}
       164:{2,4,7}:{(151,1),(152,1),(153,1),(171,1),(173,1),(182,1)}
       165:{3,6}:{(152,1),(161,1),(173,1)}
       166:{1,7}:{(154,1),(155,1)}
       167:{1,2,5}:{(156,1),(157,1),(174,1),(176,1)}
       168:{1,4}:{(157,1),(158,1)}
       169:{3,4}:{(158,1),(161,1)}
       170:{1,3,5}:{(160,1),(161,1),(172,1),(175,1),(176,1)}
       171:{1,4,7}:{(162,1),(163,1),(164,1),(177,1)}
       172:{1,3,6}:{(163,1),(165,1),(170,1),(177,1),(178,1)}
       173:{3,7}:{(164,1),(165,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(172,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 330 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(46,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(46,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(65,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(66,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(38,1),(66,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(46,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(82,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(46,1),(59,1),(60,1),(88,1),(92,1),(107,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(61,1),(66,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(65,1),(69,1),(72,1),(99,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(99,1),(103,1),(114,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(114,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(38,1),(41,1),(101,1),(114,1)}
        24:{2,4,6}:{(12,1),(31,1),(38,1),(40,1),(66,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(46,1),(80,1),(81,1),(88,1),(104,1),(107,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(46,1),(47,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(47,1),(49,1),(82,1)}
        32:{2,4,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(47,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{3,6}:{(23,1),(24,1)}
        39:{2,4,6,7}:{(24,1),(48,1),(57,1),(59,1),(83,1),(92,1),(107,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(61,1),(64,1),(101,1),(114,1)}
        43:{2,4,6}:{(27,1),(31,1),(61,1),(63,1),(66,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(61,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{2,5,7}:{(30,1),(32,1),(65,1),(66,1),(71,1),(115,1),(122,1)}
        47:{1,3,6}:{(30,1),(31,1),(38,1),(61,1),(66,1)}
        48:{1,4,6,7}:{(31,1),(39,1),(62,1),(67,1),(69,1),(95,1),(99,1),(112,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(69,1)}
        50:{1,4,7}:{(32,1),(35,1),(65,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(66,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(114,1)}
        58:{3,5,6}:{(38,1),(40,1),(41,1),(76,1),(77,1)}
        59:{2,5,7}:{(39,1),(40,1),(69,1),(76,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{3,6}:{(42,1),(43,1)}
        62:{2,4,6,7}:{(43,1),(48,1),(78,1),(80,1),(83,1),(104,1),(107,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,5,7}:{(46,1),(50,1),(82,1),(87,1),(120,1),(125,1)}
        66:{2,6}:{(46,1),(47,1),(82,1)}
        67:{1,3,6,7}:{(47,1),(48,1),(57,1),(78,1),(83,1),(85,1),(118,1)}
        68:{1,3,5,6}:{(47,1),(49,1),(52,1),(58,1),(79,1),(84,1),(85,1),(86,1),(108,1)}
        69:{1,5,7}:{(48,1),(49,1),(59,1),(80,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(82,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(58,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(114,1)}
        79:{3,5,6}:{(61,1),(63,1),(64,1),(93,1),(94,1)}
        80:{2,5,7}:{(62,1),(63,1),(69,1),(93,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{1,6}:{(65,1),(66,1)}
        83:{2,6,7}:{(66,1),(67,1),(95,1),(97,1),(122,1)}
        84:{2,5,6}:{(66,1),(68,1),(71,1),(96,1),(97,1),(98,1)}
        85:{1,3,5,7}:{(67,1),(68,1),(69,1),(76,1),(93,1),(97,1),(99,1),(114,1)}
        86:{1,4,6}:{(68,1),(72,1),(77,1),(94,1),(98,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(98,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(79,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(83,1),(105,1),(125,1)}
        96:{1,5,6}:{(82,1),(84,1),(87,1),(105,1),(106,1)}
        97:{2,5,7}:{(83,1),(84,1),(85,1),(105,1),(107,1)}
        98:{2,4,6}:{(84,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
        99:{1,4,7}:{(85,1),(86,1),(92,1),(104,1),(107,1),(125,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(106,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(97,1),(112,1)}
       106:{1,4,6}:{(96,1),(98,1),(100,1),(112,1),(113,1)}
       107:{2,4,7}:{(97,1),(98,1),(99,1),(112,1),(114,1),(122,1)}
       108:{3,6}:{(98,1),(101,1),(114,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(113,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{1,3,6}:{(106,1),(108,1),(109,1),(118,1),(119,1)}
       114:{3,7}:{(107,1),(108,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(113,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 331 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 332 :   0:{1,2,4}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(6,1),(7,1),(20,1),(77,1)}
         3:{1,2}:{(8,1)}
         4:{2,3}:{(1,1),(8,1),(10,1)}
         5:{1,3,4}:{(1,1),(10,1),(12,1),(13,1),(34,1)}
         6:{1,3,5}:{(1,1),(2,1),(11,1),(13,1),(14,1),(39,1),(62,1),(85,1)}
         7:{1,2,6}:{(2,1),(14,1),(15,1),(33,1)}
         8:{1,3}:{(3,1),(4,1),(16,1)}
         9:{1,2,5}:{(3,1),(17,1),(18,1),(19,1),(71,1)}
        10:{2,4}:{(4,1),(5,1),(16,1),(20,1)}
        11:{2,3,5}:{(4,1),(6,1),(17,1),(20,1),(21,1),(22,1),(46,1),(47,1),(51,1),(71,1)}
        12:{1,3,5}:{(5,1),(20,1),(23,1),(24,1),(47,1)}
        13:{1,4}:{(6,1),(21,1)}
        14:{1,3,6}:{(6,1),(7,1),(22,1),(25,1),(26,1),(95,1)}
        15:{1,2,7}:{(7,1),(26,1),(49,1)}
        16:{1,4}:{(8,1),(10,1),(27,1)}
        17:{1,3,5}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(30,1),(60,1)}
        18:{1,2,4}:{(9,1),(28,1),(30,1),(59,1)}
        19:{1,2,6}:{(9,1),(29,1),(31,1),(86,1)}
        20:{2,5}:{(10,1),(12,1),(27,1),(33,1)}
        21:{2,4}:{(11,1),(13,1),(28,1),(34,1)}
        22:{2,3,6}:{(11,1),(14,1),(29,1),(33,1),(35,1),(36,1),(63,1),(86,1)}
        23:{1,4,5}:{(12,1),(13,1),(32,1),(37,1),(39,1),(85,1)}
        24:{1,3,6}:{(12,1),(33,1),(37,1),(38,1),(63,1)}
        25:{1,4,6}:{(13,1),(14,1),(35,1),(39,1),(40,1),(70,1)}
        26:{1,3,7}:{(14,1),(15,1),(36,1),(40,1),(101,1)}
        27:{1,5}:{(16,1),(20,1),(42,1)}
        28:{1,4}:{(17,1),(21,1)}
        29:{1,3,6}:{(17,1),(19,1),(22,1),(42,1),(44,1),(45,1)}
        30:{1,3}:{(18,1),(46,1)}
        31:{1,2,7}:{(19,1),(45,1),(96,1)}
        32:{2,4,5}:{(20,1),(21,1),(23,1),(41,1),(47,1),(48,1),(51,1),(71,1),(81,1)}
        33:{2,6}:{(20,1),(24,1),(42,1),(49,1)}
        34:{3,4}:{(21,1),(47,1)}
        35:{2,4,6}:{(21,1),(22,1),(25,1),(44,1),(50,1),(51,1),(52,1),(83,1)}
        36:{2,3,7}:{(22,1),(26,1),(45,1),(49,1),(52,1),(79,1),(96,1)}
        37:{1,4,6}:{(23,1),(24,1),(48,1),(53,1),(54,1),(95,1)}
        38:{1,3,7}:{(24,1),(49,1),(54,1),(79,1)}
        39:{1,5}:{(25,1),(51,1)}
        40:{1,4,7}:{(25,1),(26,1),(52,1),(55,1)}
        41:{1,4,5}:{(27,1),(28,1),(32,1),(56,1),(57,1),(60,1)}
        42:{1,6}:{(27,1),(33,1),(58,1)}
        43:{1,3,4}:{(28,1),(30,1),(34,1),(56,1),(59,1)}
        44:{1,4,6}:{(28,1),(29,1),(35,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(29,1),(31,1),(36,1),(58,1),(61,1)}
        46:{2,3}:{(30,1),(59,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(63,1)}
        48:{2,4,6}:{(32,1),(33,1),(37,1),(57,1),(63,1),(64,1),(65,1),(86,1),(90,1)}
        49:{2,7}:{(33,1),(38,1),(58,1)}
        50:{3,4,6}:{(34,1),(35,1),(63,1),(66,1),(67,1),(90,1),(94,1)}
        51:{2,5}:{(35,1),(39,1),(60,1),(66,1)}
        52:{2,4,7}:{(35,1),(36,1),(40,1),(61,1),(67,1),(68,1)}
        53:{1,5,6}:{(37,1),(39,1),(64,1),(69,1),(70,1)}
        54:{1,4,7}:{(37,1),(38,1),(65,1),(69,1),(101,1)}
        55:{1,5,7}:{(39,1),(40,1),(68,1),(70,1)}
        56:{1,3,5}:{(41,1),(43,1),(47,1),(71,1),(72,1)}
        57:{1,4,6}:{(41,1),(42,1),(48,1),(72,1),(73,1),(74,1)}
        58:{1,7}:{(42,1),(49,1)}
        59:{2,4}:{(43,1),(46,1),(71,1),(75,1)}
        60:{1,5}:{(44,1),(51,1)}
        61:{1,4,7}:{(44,1),(45,1),(52,1),(76,1)}
        62:{1,3}:{(46,1),(75,1),(77,1)}
        63:{3,6}:{(47,1),(48,1),(79,1)}
        64:{2,5,6}:{(48,1),(51,1),(53,1),(73,1),(78,1),(80,1),(83,1)}
        65:{2,4,7}:{(48,1),(49,1),(54,1),(74,1),(79,1),(80,1),(96,1),(98,1)}
        66:{3,5}:{(50,1),(51,1),(81,1)}
        67:{3,4,7}:{(50,1),(52,1),(79,1),(82,1),(98,1)}
        68:{2,5,7}:{(51,1),(52,1),(55,1),(76,1),(82,1),(83,1)}
        69:{1,5,7}:{(53,1),(54,1),(80,1),(84,1)}
        70:{1,6}:{(55,1),(83,1)}
        71:{2,5}:{(56,1),(59,1),(85,1),(86,1)}
        72:{1,3,6}:{(56,1),(57,1),(63,1),(86,1),(87,1)}
        73:{1,5,6}:{(57,1),(60,1),(64,1),(88,1),(89,1)}
        74:{1,4,7}:{(57,1),(58,1),(65,1),(87,1),(88,1)}
        75:{1,4}:{(59,1),(62,1),(85,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,2}:{(62,1)}
        78:{3,5,6}:{(63,1),(64,1),(66,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(63,1),(65,1)}
        80:{2,5,7}:{(64,1),(65,1),(69,1),(88,1),(91,1),(92,1)}
        81:{4,5}:{(66,1),(90,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(93,1),(94,1)}
        83:{2,6}:{(68,1),(70,1),(89,1),(94,1)}
        84:{1,6,7}:{(69,1),(70,1),(92,1)}
        85:{1,5}:{(71,1),(75,1),(95,1)}
        86:{2,6}:{(71,1),(72,1),(95,1),(96,1)}
        87:{1,3,7}:{(72,1),(74,1),(79,1),(96,1)}
        88:{1,5,7}:{(73,1),(74,1),(80,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(84,1),(97,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(92,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 333 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 334 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 335 :   0:{1,6,7}:{(4,1),(7,1),(94,1)}
         1:{1,5,6}:{(5,1),(7,1),(8,1),(83,1),(94,1)}
         2:{1,4,5}:{(6,1),(8,1),(9,1),(56,1),(62,1),(83,1)}
         3:{1,3,4}:{(9,1),(10,1),(30,1),(34,1),(62,1),(86,1)}
         4:{2,6,7}:{(0,1),(11,1),(14,1),(16,1),(89,1),(98,1)}
         5:{2,5,6}:{(1,1),(12,1),(15,1),(16,1),(17,1),(73,1),(89,1),(91,1),(98,1)}
         6:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(22,1),(41,1),(43,1),(46,1),(73,1),(76,1),(91,1),(100,1)}
         7:{1,5,7}:{(0,1),(1,1),(16,1),(20,1)}
         8:{1,4,6}:{(1,1),(2,1),(17,1),(20,1),(21,1),(70,1)}
         9:{1,3,5}:{(2,1),(3,1),(18,1),(21,1),(22,1)}
        10:{2,4}:{(3,1),(19,1),(22,1),(23,1),(50,1)}
        11:{1,6,7}:{(4,1),(24,1),(94,1)}
        12:{1,5,6}:{(5,1),(24,1),(25,1),(83,1),(94,1)}
        13:{1,4,5}:{(6,1),(25,1),(26,1),(37,1),(62,1),(83,1)}
        14:{3,6,7}:{(4,1),(27,1),(28,1),(81,1),(101,1)}
        15:{3,5,6}:{(5,1),(28,1),(29,1),(32,1),(57,1),(59,1),(81,1),(96,1),(101,1),(104,1)}
        16:{2,5,7}:{(4,1),(5,1),(7,1),(24,1),(28,1),(31,1)}
        17:{2,4,6}:{(5,1),(6,1),(8,1),(25,1),(29,1),(31,1),(32,1),(36,1),(55,1)}
        18:{3,5}:{(6,1),(30,1),(32,1),(86,1)}
        19:{2,3}:{(10,1),(34,1),(86,1)}
        20:{1,4,7}:{(7,1),(8,1),(31,1),(35,1),(80,1)}
        21:{1,3,6}:{(8,1),(9,1),(32,1),(35,1),(36,1)}
        22:{2,5}:{(9,1),(10,1),(36,1),(37,1)}
        23:{1,4}:{(10,1),(34,1),(37,1)}
        24:{1,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,4,6}:{(12,1),(13,1),(17,1),(39,1),(40,1),(52,1)}
        26:{1,3,5}:{(13,1),(18,1),(38,1),(40,1),(41,1)}
        27:{4,6,7}:{(14,1),(42,1),(44,1),(71,1),(103,1)}
        28:{3,5,7}:{(14,1),(15,1),(16,1),(42,1),(44,1),(47,1)}
        29:{4,6}:{(15,1),(43,1),(44,1),(100,1)}
        30:{3,4}:{(18,1),(46,1),(100,1)}
        31:{2,4,7}:{(16,1),(17,1),(20,1),(39,1),(44,1),(47,1),(51,1),(69,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{2,3,5}:{(18,1),(19,1),(22,1),(41,1),(46,1),(48,1),(49,1),(67,1),(73,1)}
        34:{1,3}:{(19,1),(23,1),(50,1)}
        35:{1,3,7}:{(20,1),(21,1),(47,1),(51,1)}
        36:{2,6}:{(21,1),(22,1),(51,1),(52,1)}
        37:{1,5}:{(22,1),(23,1),(52,1)}
        38:{1,3,4}:{(26,1),(30,1),(53,1),(62,1),(79,1),(86,1)}
        39:{1,4,7}:{(24,1),(25,1),(31,1),(54,1),(66,1)}
        40:{1,3,6}:{(25,1),(26,1),(32,1),(54,1),(55,1)}
        41:{2,5}:{(26,1),(53,1),(55,1),(56,1)}
        42:{5,7}:{(27,1),(57,1),(104,1)}
        43:{4,5}:{(29,1),(59,1),(104,1)}
        44:{4,7}:{(28,1),(29,1)}
        45:{3,4,6}:{(29,1),(30,1),(32,1),(59,1),(60,1),(61,1),(81,1)}
        46:{2,4}:{(30,1),(33,1),(62,1)}
        47:{3,7}:{(31,1),(32,1)}
        48:{2,3,6}:{(32,1),(33,1),(36,1),(55,1),(61,1),(63,1),(64,1)}
        49:{1,3,5}:{(33,1),(34,1),(37,1),(56,1),(62,1),(64,1),(65,1),(79,1),(83,1),(86,1),(96,1)}
        50:{2}:{(34,1)}
        51:{2,7}:{(35,1),(36,1),(66,1)}
        52:{1,6}:{(36,1),(37,1),(66,1)}
        53:{2,4}:{(38,1),(41,1),(67,1),(68,1),(88,1)}
        54:{1,3,7}:{(39,1),(40,1),(47,1),(69,1)}
        55:{2,6}:{(40,1),(41,1),(69,1),(70,1)}
        56:{1,5}:{(41,1),(68,1),(70,1)}
        57:{5,6}:{(42,1),(71,1)}
        58:{4,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1)}
        59:{3,5}:{(43,1),(45,1),(73,1)}
        60:{3,4,7}:{(44,1),(45,1),(47,1),(72,1),(74,1)}
        61:{2,4,6}:{(45,1),(46,1),(48,1),(73,1),(74,1),(75,1),(89,1)}
        62:{1,4}:{(46,1),(49,1),(76,1),(100,1)}
        63:{2,3,7}:{(47,1),(48,1),(51,1),(69,1),(74,1),(77,1)}
        64:{1,3,6}:{(48,1),(49,1),(52,1),(70,1),(75,1),(77,1),(78,1),(93,1)}
        65:{2,5}:{(49,1),(50,1),(76,1),(78,1),(88,1)}
        66:{1,7}:{(51,1),(52,1)}
        67:{2,3}:{(53,1),(79,1),(86,1)}
        68:{1,4}:{(53,1),(56,1),(79,1)}
        69:{2,7}:{(54,1),(55,1),(80,1)}
        70:{1,6}:{(55,1),(56,1),(80,1)}
        71:{4,6}:{(57,1),(58,1),(81,1)}
        72:{3,5,7}:{(58,1),(59,1),(60,1),(81,1),(82,1)}
        73:{2,5}:{(59,1),(61,1),(83,1)}
        74:{2,4,7}:{(60,1),(61,1),(63,1),(82,1),(84,1)}
        75:{1,4,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(85,1),(94,1)}
        76:{2,4}:{(62,1),(65,1),(86,1)}
        77:{1,3,7}:{(63,1),(64,1),(66,1),(80,1),(84,1),(87,1),(97,1)}
        78:{2,6}:{(64,1),(65,1),(87,1)}
        79:{1,3}:{(67,1),(68,1),(88,1)}
        80:{1,7}:{(69,1),(70,1)}
        81:{3,6}:{(71,1),(72,1),(89,1)}
        82:{2,5,7}:{(72,1),(73,1),(74,1),(89,1),(90,1)}
        83:{1,5}:{(73,1),(75,1),(91,1)}
        84:{1,4,7}:{(74,1),(75,1),(77,1),(90,1),(92,1)}
        85:{2,4,6}:{(75,1),(76,1),(78,1),(91,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        86:{3}:{(76,1)}
        87:{2,7}:{(77,1),(78,1)}
        88:{2}:{(79,1)}
        89:{2,6}:{(81,1),(82,1),(94,1)}
        90:{1,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1)}
        91:{2,5}:{(83,1),(85,1),(96,1),(104,1)}
        92:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(102,1)}
        93:{3,6}:{(85,1),(86,1),(96,1),(97,1)}
        94:{1,6}:{(89,1),(90,1),(98,1)}
        95:{2,5,7}:{(90,1),(91,1),(92,1),(98,1),(99,1)}
        96:{3,5}:{(91,1),(93,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{2,6}:{(94,1),(95,1),(101,1)}
        99:{3,5,7}:{(95,1),(96,1),(97,1),(101,1),(102,1),(104,1)}
       100:{4}:{(96,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{4,7}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 336 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(28,1),(34,1),(61,1),(64,1),(76,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(76,1),(114,1),(120,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(43,1),(56,1),(90,1),(92,1),(93,1),(94,1),(100,1),(127,1),(129,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(12,1),(13,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(13,1),(14,1),(87,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(29,1),(60,1),(64,1),(79,1),(108,1),(111,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(23,1),(66,1),(80,1),(114,1),(120,1),(143,1),(145,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(23,1),(24,1),(30,1),(62,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(120,1),(150,1),(171,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(27,1),(28,1),(76,1),(109,1),(144,1)}
        12:{2,5,7}:{(3,1),(5,1),(29,1),(30,1),(33,1),(163,1),(164,1)}
        13:{1,3,6}:{(3,1),(4,1),(23,1),(30,1)}
        14:{1,5,6}:{(4,1),(24,1),(28,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(29,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(30,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(37,1),(38,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(38,1),(39,1),(52,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(94,1),(98,1),(154,1),(158,1)}
        21:{2,4,6,7}:{(9,1),(11,1),(36,1),(42,1),(43,1),(50,1),(85,1),(94,1),(100,1),(129,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(12,1),(37,1),(40,1),(44,1),(45,1),(49,1),(81,1),(92,1),(125,1)}
        23:{3,6}:{(8,1),(9,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(43,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,3,6,7}:{(11,1),(13,1),(42,1),(50,1),(51,1),(156,1)}
        28:{1,5,7}:{(11,1),(14,1),(43,1)}
        29:{1,5,7}:{(12,1),(15,1),(52,1),(55,1),(169,1),(170,1)}
        30:{2,6}:{(12,1),(13,1),(52,1)}
        31:{1,3,5,6}:{(13,1),(14,1),(17,1),(46,1),(51,1),(53,1),(54,1),(102,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(52,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(111,1),(114,1),(118,1),(145,1)}
        36:{1,4,6,7}:{(19,1),(21,1),(59,1),(60,1),(74,1),(111,1),(119,1)}
        37:{2,5,7}:{(18,1),(57,1),(61,1),(62,1),(107,1),(122,1),(150,1)}
        38:{1,3,6}:{(18,1),(19,1),(23,1),(62,1)}
        39:{1,5,6}:{(19,1),(24,1),(60,1),(116,1)}
        40:{2,4,7}:{(20,1),(22,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(23,1),(65,1),(66,1),(70,1)}
        42:{3,6,7}:{(21,1),(23,1),(67,1),(120,1),(145,1)}
        43:{2,5,7}:{(21,1),(24,1),(28,1),(60,1),(67,1)}
        44:{1,3,5,7}:{(22,1),(25,1),(29,1),(61,1),(64,1),(68,1),(69,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        45:{2,3,6}:{(22,1),(23,1),(30,1),(62,1),(65,1),(69,1)}
        46:{3,5,6}:{(23,1),(24,1),(66,1),(67,1),(70,1),(147,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{2,6,7}:{(27,1),(30,1),(74,1),(75,1),(164,1)}
        51:{1,3,5,7}:{(27,1),(28,1),(31,1),(67,1),(75,1),(76,1),(120,1)}
        52:{1,6}:{(29,1),(30,1)}
        53:{2,5,6}:{(30,1),(31,1),(33,1),(75,1),(77,1),(78,1)}
        54:{1,4,6}:{(31,1),(34,1),(70,1),(76,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(78,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(37,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(38,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,3,6,7}:{(36,1),(38,1),(42,1),(85,1),(86,1),(136,1)}
        60:{1,5,7}:{(36,1),(39,1),(43,1)}
        61:{1,5,7}:{(37,1),(82,1),(87,1),(126,1),(138,1),(160,1)}
        62:{2,6}:{(37,1),(38,1),(87,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(46,1),(84,1),(86,1),(88,1),(89,1),(131,1)}
        64:{1,4,7}:{(40,1),(44,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(45,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{3,5,7}:{(42,1),(43,1),(46,1),(94,1)}
        68:{2,5,7}:{(44,1),(47,1),(90,1),(95,1),(96,1),(123,1),(133,1),(152,1)}
        69:{1,3,6}:{(44,1),(45,1),(52,1),(87,1),(91,1),(95,1),(132,1)}
        70:{4,6}:{(46,1),(93,1),(94,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(52,1),(99,1),(170,1)}
        75:{2,5,7}:{(50,1),(51,1),(53,1),(99,1),(100,1)}
        76:{1,4,7}:{(51,1),(54,1),(94,1),(100,1),(160,1)}
        77:{1,5,6}:{(52,1),(53,1),(55,1),(99,1),(101,1)}
        78:{2,4,6}:{(53,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(101,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(145,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(61,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(62,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{2,6,7}:{(59,1),(62,1),(109,1),(110,1),(150,1)}
        86:{1,3,5,7}:{(59,1),(60,1),(63,1),(67,1),(110,1),(111,1),(145,1)}
        87:{1,6}:{(61,1),(62,1)}
        88:{2,5,6}:{(62,1),(63,1),(107,1),(110,1),(112,1),(113,1)}
        89:{1,4,6}:{(63,1),(70,1),(108,1),(111,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(68,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(69,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{4,7}:{(67,1),(70,1)}
        95:{2,6}:{(68,1),(69,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(77,1),(119,1)}
       100:{2,4,7}:{(75,1),(76,1),(78,1),(119,1),(120,1),(150,1)}
       101:{1,4,6}:{(77,1),(78,1),(79,1),(119,1),(121,1)}
       102:{3,6}:{(78,1),(80,1),(120,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(121,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(87,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(87,1),(128,1),(160,1)}
       110:{2,5,7}:{(85,1),(86,1),(88,1),(128,1),(129,1)}
       111:{1,4,7}:{(86,1),(89,1),(94,1),(129,1),(170,1)}
       112:{1,5,6}:{(87,1),(88,1),(126,1),(128,1),(130,1)}
       113:{2,4,6}:{(88,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(95,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{3,7}:{(100,1),(102,1)}
       121:{1,3,6}:{(101,1),(102,1),(103,1),(136,1),(137,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(113,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(112,1),(144,1)}
       129:{2,4,7}:{(110,1),(111,1),(113,1),(144,1),(145,1),(164,1)}
       130:{1,4,6}:{(112,1),(113,1),(142,1),(144,1),(146,1)}
       131:{3,6}:{(113,1),(143,1),(145,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(121,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(130,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{3,7}:{(129,1),(131,1)}
       146:{1,3,6}:{(130,1),(131,1),(155,1),(156,1),(157,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(146,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(146,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 337 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(49,1),(55,1)}
         1:{2,3,5}:{(2,1),(5,1),(6,1),(22,1),(23,1),(26,1),(49,1)}
         2:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1),(37,1),(68,1)}
         3:{1,2,4}:{(0,1),(8,1),(10,1),(34,1)}
         4:{1,2,6}:{(0,1),(9,1),(11,1),(69,1)}
         5:{2,4}:{(1,1),(8,1),(13,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(38,1),(69,1)}
         7:{2,3,5}:{(2,1),(16,1),(17,1),(22,1),(44,1),(47,1),(49,1)}
         8:{1,4}:{(2,1),(5,1),(16,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(17,1),(20,1),(21,1),(84,1)}
        10:{1,3}:{(3,1),(22,1)}
        11:{1,2,7}:{(4,1),(21,1),(85,1)}
        12:{2,4,5}:{(5,1),(18,1),(23,1),(24,1),(26,1),(49,1),(59,1)}
        13:{3,4}:{(5,1),(23,1)}
        14:{2,4,6}:{(5,1),(6,1),(20,1),(25,1),(26,1),(27,1),(61,1)}
        15:{2,3,7}:{(6,1),(21,1),(27,1),(57,1),(85,1)}
        16:{2,4}:{(7,1),(8,1),(29,1)}
        17:{2,3,6}:{(7,1),(9,1),(30,1),(31,1),(62,1),(69,1)}
        18:{1,4,5}:{(8,1),(12,1),(28,1),(32,1),(33,1),(35,1),(68,1)}
        19:{1,3,4}:{(8,1),(10,1),(13,1),(29,1),(32,1),(34,1)}
        20:{1,4,6}:{(8,1),(9,1),(14,1),(30,1),(35,1),(36,1),(72,1)}
        21:{1,3,7}:{(9,1),(11,1),(15,1),(31,1),(36,1),(95,1)}
        22:{2,3}:{(10,1),(34,1),(37,1)}
        23:{3,5}:{(12,1),(13,1),(38,1)}
        24:{2,4,6}:{(12,1),(33,1),(38,1),(39,1),(40,1),(69,1),(73,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(42,1),(73,1),(77,1)}
        26:{2,5}:{(14,1),(35,1),(41,1)}
        27:{2,4,7}:{(14,1),(15,1),(36,1),(42,1),(43,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1),(45,1),(47,1),(49,1),(81,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{2,4,6}:{(16,1),(17,1),(20,1),(46,1),(47,1),(48,1),(83,1)}
        31:{2,3,7}:{(17,1),(21,1),(48,1),(79,1),(85,1)}
        32:{1,3,5}:{(18,1),(19,1),(23,1),(44,1),(49,1),(50,1)}
        33:{1,4,6}:{(18,1),(24,1),(45,1),(50,1),(51,1),(52,1),(84,1)}
        34:{2,4}:{(19,1),(22,1),(49,1),(53,1)}
        35:{1,5}:{(20,1),(26,1),(47,1)}
        36:{1,4,7}:{(20,1),(21,1),(27,1),(48,1),(54,1)}
        37:{1,3}:{(22,1),(53,1),(55,1)}
        38:{3,6}:{(23,1),(24,1),(57,1)}
        39:{2,5,6}:{(24,1),(26,1),(51,1),(56,1),(58,1),(61,1)}
        40:{2,4,7}:{(24,1),(52,1),(57,1),(58,1),(85,1),(87,1)}
        41:{3,5}:{(25,1),(26,1),(59,1)}
        42:{3,4,7}:{(25,1),(27,1),(57,1),(60,1),(87,1)}
        43:{2,5,7}:{(26,1),(27,1),(54,1),(60,1),(61,1)}
        44:{3,5}:{(28,1),(29,1),(62,1)}
        45:{2,4,6}:{(28,1),(33,1),(62,1),(63,1),(64,1),(69,1),(90,1)}
        46:{3,4,6}:{(29,1),(30,1),(62,1),(65,1),(66,1),(90,1),(94,1)}
        47:{2,5}:{(30,1),(35,1),(65,1)}
        48:{2,4,7}:{(30,1),(31,1),(36,1),(66,1),(67,1)}
        49:{2,5}:{(32,1),(34,1),(68,1),(69,1)}
        50:{1,3,6}:{(32,1),(33,1),(38,1),(62,1),(69,1),(70,1)}
        51:{1,5,6}:{(33,1),(35,1),(39,1),(63,1),(71,1),(72,1)}
        52:{1,4,7}:{(33,1),(40,1),(64,1),(70,1),(71,1),(95,1)}
        53:{1,4}:{(34,1),(37,1),(68,1)}
        54:{1,5,7}:{(35,1),(36,1),(43,1),(67,1),(72,1)}
        55:{1,2}:{(37,1)}
        56:{3,5,6}:{(38,1),(39,1),(41,1),(73,1),(74,1),(77,1),(97,1)}
        57:{3,7}:{(38,1),(40,1)}
        58:{2,5,7}:{(39,1),(40,1),(71,1),(74,1),(75,1)}
        59:{4,5}:{(41,1),(73,1)}
        60:{3,5,7}:{(41,1),(42,1),(43,1),(76,1),(77,1)}
        61:{2,6}:{(43,1),(72,1),(77,1)}
        62:{3,6}:{(44,1),(45,1),(79,1)}
        63:{2,5,6}:{(45,1),(47,1),(51,1),(78,1),(80,1),(83,1)}
        64:{2,4,7}:{(45,1),(52,1),(79,1),(80,1),(85,1),(98,1)}
        65:{3,5}:{(46,1),(47,1),(81,1)}
        66:{3,4,7}:{(46,1),(48,1),(79,1),(82,1),(98,1)}
        67:{2,5,7}:{(47,1),(48,1),(54,1),(82,1),(83,1)}
        68:{1,5}:{(49,1),(53,1),(84,1)}
        69:{2,6}:{(49,1),(50,1),(84,1),(85,1)}
        70:{1,3,7}:{(50,1),(52,1),(57,1),(79,1),(85,1)}
        71:{1,5,7}:{(51,1),(52,1),(58,1),(80,1),(86,1)}
        72:{1,6}:{(54,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(59,1),(87,1)}
        74:{3,5,7}:{(56,1),(57,1),(58,1),(87,1),(88,1),(101,1)}
        75:{2,6,7}:{(58,1),(61,1),(86,1),(88,1)}
        76:{4,5,7}:{(59,1),(60,1),(87,1),(89,1),(101,1)}
        77:{3,6}:{(60,1),(61,1),(89,1)}
        78:{3,5,6}:{(62,1),(63,1),(65,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(62,1),(64,1)}
        80:{2,5,7}:{(63,1),(64,1),(71,1),(91,1),(92,1)}
        81:{4,5}:{(65,1),(90,1)}
        82:{3,5,7}:{(65,1),(66,1),(67,1),(93,1),(94,1)}
        83:{2,6}:{(67,1),(72,1),(94,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(75,1),(92,1)}
        87:{4,7}:{(73,1),(74,1)}
        88:{3,6,7}:{(74,1),(75,1),(77,1),(96,1)}
        89:{4,6}:{(76,1),(77,1),(97,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(86,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(89,1),(101,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 338 :   0:{1,2,6}:{(2,1),(3,1),(4,1),(89,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(62,1),(89,1)}
         2:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(11,1),(98,1)}
         3:{1,2,5}:{(0,1),(10,1),(12,1),(75,1),(77,1)}
         4:{1,2,7}:{(0,1),(11,1),(99,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(16,1),(45,1)}
         6:{2,3,5}:{(1,1),(10,1),(14,1),(16,1),(38,1),(44,1),(75,1)}
         7:{2,3,7}:{(1,1),(11,1),(15,1),(81,1),(99,1)}
         8:{2,3,6}:{(2,1),(17,1),(18,1),(19,1),(86,1),(89,1)}
         9:{1,4,6}:{(2,1),(5,1),(17,1),(20,1),(21,1),(22,1),(55,1)}
        10:{1,3,5}:{(2,1),(3,1),(6,1),(18,1),(20,1),(22,1),(23,1),(57,1),(91,1)}
        11:{1,3,7}:{(2,1),(4,1),(7,1),(19,1),(21,1),(103,1)}
        12:{1,2,4}:{(3,1),(22,1),(23,1),(56,1)}
        13:{3,4,6}:{(5,1),(24,1),(25,1),(29,1),(58,1),(61,1),(62,1)}
        14:{2,5}:{(5,1),(20,1),(24,1)}
        15:{2,4,7}:{(5,1),(7,1),(21,1),(25,1),(28,1)}
        16:{2,4}:{(6,1),(22,1),(29,1)}
        17:{2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(71,1)}
        18:{2,3,5}:{(8,1),(10,1),(31,1),(33,1),(38,1),(70,1),(75,1)}
        19:{2,3,7}:{(8,1),(11,1),(32,1),(97,1),(99,1)}
        20:{1,5}:{(9,1),(14,1),(31,1)}
        21:{1,4,7}:{(9,1),(11,1),(15,1),(32,1),(36,1)}
        22:{1,4}:{(10,1),(16,1),(33,1)}
        23:{1,3}:{(12,1),(38,1)}
        24:{3,5}:{(13,1),(14,1),(40,1)}
        25:{3,4,7}:{(13,1),(15,1),(41,1),(78,1),(81,1)}
        26:{2,5,6}:{(14,1),(34,1),(39,1),(42,1),(43,1),(45,1)}
        27:{2,4,5}:{(14,1),(16,1),(35,1),(40,1),(42,1),(44,1),(75,1)}
        28:{2,5,7}:{(14,1),(15,1),(36,1),(41,1),(45,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(51,1),(82,1),(85,1),(86,1)}
        31:{2,5}:{(17,1),(20,1),(46,1)}
        32:{2,4,7}:{(17,1),(19,1),(21,1),(47,1),(50,1)}
        33:{2,4}:{(18,1),(22,1),(51,1)}
        34:{1,5,6}:{(20,1),(26,1),(48,1),(52,1),(53,1),(55,1)}
        35:{1,4,5}:{(20,1),(22,1),(27,1),(49,1),(52,1),(54,1),(91,1)}
        36:{1,5,7}:{(20,1),(21,1),(28,1),(50,1),(55,1)}
        37:{1,3,4}:{(22,1),(23,1),(29,1),(51,1),(54,1),(56,1)}
        38:{2,3}:{(23,1),(56,1),(57,1)}
        39:{3,5,6}:{(24,1),(26,1),(58,1),(59,1),(61,1),(62,1),(93,1)}
        40:{4,5}:{(24,1),(58,1)}
        41:{3,5,7}:{(24,1),(25,1),(28,1),(60,1),(61,1)}
        42:{2,4,6}:{(26,1),(27,1),(52,1),(58,1),(62,1),(63,1),(89,1)}
        43:{2,5,7}:{(26,1),(53,1),(59,1),(63,1),(64,1)}
        44:{3,5}:{(27,1),(29,1),(62,1)}
        45:{2,6}:{(28,1),(55,1),(61,1)}
        46:{3,5}:{(30,1),(31,1),(66,1)}
        47:{3,4,7}:{(30,1),(32,1),(67,1),(94,1),(97,1)}
        48:{2,5,6}:{(31,1),(34,1),(65,1),(68,1),(69,1),(71,1)}
        49:{2,4,5}:{(31,1),(33,1),(35,1),(66,1),(68,1),(70,1),(75,1)}
        50:{2,5,7}:{(31,1),(32,1),(36,1),(67,1),(71,1)}
        51:{3,4}:{(33,1),(70,1)}
        52:{1,4,6}:{(34,1),(35,1),(42,1),(68,1),(72,1),(73,1),(98,1)}
        53:{1,5,7}:{(34,1),(43,1),(69,1),(73,1),(74,1)}
        54:{1,3,5}:{(35,1),(37,1),(44,1),(70,1),(72,1),(75,1)}
        55:{1,6}:{(36,1),(45,1),(71,1)}
        56:{2,4}:{(37,1),(38,1),(75,1),(76,1)}
        57:{1,3}:{(38,1),(76,1),(77,1)}
        58:{4,6}:{(39,1),(40,1),(78,1)}
        59:{3,5,7}:{(39,1),(43,1),(78,1),(79,1),(81,1),(100,1)}
        60:{4,5,7}:{(40,1),(41,1),(78,1),(80,1),(100,1)}
        61:{3,6}:{(41,1),(45,1),(80,1)}
        62:{3,6}:{(42,1),(44,1),(81,1)}
        63:{2,4,7}:{(42,1),(43,1),(73,1),(78,1),(81,1),(99,1)}
        64:{2,6,7}:{(43,1),(45,1),(74,1),(79,1)}
        65:{3,5,6}:{(46,1),(48,1),(82,1),(83,1),(85,1),(86,1),(102,1)}
        66:{4,5}:{(46,1),(82,1)}
        67:{3,5,7}:{(46,1),(47,1),(50,1),(84,1),(85,1)}
        68:{2,4,6}:{(48,1),(49,1),(52,1),(82,1),(86,1),(87,1),(89,1)}
        69:{2,5,7}:{(48,1),(53,1),(83,1),(87,1),(88,1)}
        70:{3,5}:{(49,1),(51,1),(86,1)}
        71:{2,6}:{(50,1),(55,1),(85,1)}
        72:{1,3,6}:{(52,1),(54,1),(62,1),(86,1),(89,1),(90,1)}
        73:{1,4,7}:{(52,1),(53,1),(63,1),(87,1),(90,1),(103,1)}
        74:{1,6,7}:{(53,1),(55,1),(64,1),(88,1)}
        75:{2,5}:{(54,1),(56,1),(89,1),(91,1)}
        76:{1,4}:{(56,1),(57,1),(91,1)}
        77:{1,2}:{(57,1)}
        78:{4,7}:{(58,1),(59,1)}
        79:{3,6,7}:{(59,1),(61,1),(64,1),(92,1)}
        80:{4,6}:{(60,1),(61,1),(93,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{4,6}:{(65,1),(66,1),(94,1)}
        83:{3,5,7}:{(65,1),(69,1),(94,1),(95,1),(97,1),(104,1)}
        84:{4,5,7}:{(66,1),(67,1),(94,1),(96,1),(104,1)}
        85:{3,6}:{(67,1),(71,1),(96,1)}
        86:{3,6}:{(68,1),(70,1),(97,1)}
        87:{2,4,7}:{(68,1),(69,1),(73,1),(94,1),(97,1),(99,1)}
        88:{2,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        89:{2,6}:{(72,1),(75,1),(98,1),(99,1)}
        90:{1,3,7}:{(72,1),(73,1),(81,1),(97,1),(99,1)}
        91:{1,5}:{(75,1),(76,1),(98,1)}
        92:{4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        93:{5,6}:{(80,1),(100,1)}
        94:{4,7}:{(82,1),(83,1)}
        95:{3,6,7}:{(83,1),(85,1),(88,1),(101,1)}
        96:{4,6}:{(84,1),(85,1),(102,1)}
        97:{3,7}:{(86,1),(87,1)}
        98:{1,6}:{(89,1),(91,1),(103,1)}
        99:{2,7}:{(89,1),(90,1),(103,1)}
       100:{5,7}:{(92,1),(93,1)}
       101:{4,6,7}:{(94,1),(95,1),(96,1),(104,1)}
       102:{5,6}:{(96,1),(104,1)}
       103:{1,7}:{(98,1),(99,1)}
       104:{5,7}:{(101,1),(102,1)}

 339 :   0:{1,2,7}:{(2,1),(3,1),(102,1)}
         1:{2,3,7}:{(2,1),(4,1),(5,1),(89,1),(102,1)}
         2:{1,3,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(104,1)}
         3:{1,2,6}:{(0,1),(8,1),(9,1),(97,1)}
         4:{2,4,7}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
         5:{2,3,6}:{(1,1),(8,1),(12,1),(13,1),(74,1),(97,1)}
         6:{2,3,7}:{(2,1),(14,1),(15,1),(101,1),(102,1)}
         7:{1,4,7}:{(2,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,6}:{(2,1),(3,1),(5,1),(15,1),(17,1),(18,1),(103,1)}
         9:{1,2,5}:{(3,1),(18,1),(19,1),(84,1),(86,1)}
        10:{3,4,7}:{(4,1),(20,1),(21,1),(88,1),(89,1)}
        11:{2,5,7}:{(4,1),(16,1),(20,1),(22,1),(23,1)}
        12:{2,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(24,1)}
        13:{2,3,5}:{(5,1),(18,1),(23,1),(24,1),(49,1),(56,1),(84,1)}
        14:{2,4,7}:{(6,1),(7,1),(25,1),(26,1),(27,1)}
        15:{2,3,6}:{(6,1),(8,1),(27,1),(28,1),(95,1),(97,1)}
        16:{1,5,7}:{(7,1),(11,1),(26,1),(29,1),(30,1)}
        17:{1,4,6}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(9,1),(13,1),(28,1),(30,1),(31,1),(32,1),(68,1),(98,1)}
        19:{1,2,4}:{(9,1),(31,1),(32,1),(67,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        21:{3,4,6}:{(10,1),(12,1),(34,1),(35,1),(39,1),(72,1),(74,1)}
        22:{2,6}:{(11,1),(29,1),(34,1)}
        23:{2,5}:{(12,1),(30,1),(35,1)}
        24:{2,4}:{(13,1),(31,1),(39,1)}
        25:{3,4,7}:{(14,1),(40,1),(41,1),(100,1),(101,1)}
        26:{2,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(17,1),(41,1),(42,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(18,1),(43,1),(44,1),(49,1),(81,1),(84,1)}
        29:{1,6}:{(16,1),(22,1),(42,1)}
        30:{1,5}:{(17,1),(23,1),(43,1)}
        31:{1,4}:{(18,1),(24,1),(44,1)}
        32:{1,3}:{(19,1),(49,1)}
        33:{4,5,7}:{(20,1),(50,1),(53,1),(87,1),(88,1)}
        34:{3,6}:{(20,1),(22,1),(50,1)}
        35:{3,5}:{(21,1),(23,1),(53,1)}
        36:{2,6,7}:{(22,1),(45,1),(51,1),(54,1)}
        37:{2,5,6}:{(22,1),(23,1),(46,1),(52,1),(54,1),(55,1)}
        38:{2,4,5}:{(23,1),(24,1),(47,1),(53,1),(55,1),(56,1),(84,1)}
        39:{3,4}:{(24,1),(56,1)}
        40:{3,5,7}:{(25,1),(26,1),(57,1),(58,1),(59,1)}
        41:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(63,1),(93,1),(95,1)}
        42:{2,6}:{(26,1),(29,1),(58,1)}
        43:{2,5}:{(27,1),(30,1),(59,1)}
        44:{2,4}:{(28,1),(31,1),(63,1)}
        45:{1,6,7}:{(29,1),(36,1),(60,1),(64,1)}
        46:{1,5,6}:{(29,1),(30,1),(37,1),(61,1),(64,1),(65,1)}
        47:{1,4,5}:{(30,1),(31,1),(38,1),(62,1),(65,1),(66,1),(98,1)}
        48:{1,3,4}:{(31,1),(32,1),(39,1),(63,1),(66,1),(67,1)}
        49:{2,3}:{(32,1),(67,1),(68,1)}
        50:{4,6}:{(33,1),(34,1),(70,1)}
        51:{3,6,7}:{(34,1),(36,1),(69,1),(71,1)}
        52:{3,5,6}:{(34,1),(35,1),(37,1),(70,1),(71,1),(72,1),(74,1)}
        53:{4,5}:{(35,1),(72,1)}
        54:{2,5,7}:{(36,1),(37,1),(64,1),(71,1),(73,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(72,1),(73,1),(74,1),(97,1)}
        56:{3,5}:{(38,1),(39,1),(74,1)}
        57:{4,5,7}:{(40,1),(75,1),(78,1),(99,1),(100,1)}
        58:{3,6}:{(40,1),(42,1),(75,1)}
        59:{3,5}:{(41,1),(43,1),(78,1)}
        60:{2,6,7}:{(42,1),(45,1),(76,1),(79,1)}
        61:{2,5,6}:{(42,1),(43,1),(46,1),(77,1),(79,1),(80,1)}
        62:{2,4,5}:{(43,1),(44,1),(47,1),(78,1),(80,1),(81,1),(84,1)}
        63:{3,4}:{(44,1),(81,1)}
        64:{1,5,7}:{(45,1),(46,1),(54,1),(79,1),(82,1)}
        65:{1,4,6}:{(46,1),(47,1),(55,1),(80,1),(82,1),(83,1),(103,1)}
        66:{1,3,5}:{(47,1),(48,1),(56,1),(81,1),(83,1),(84,1)}
        67:{2,4}:{(48,1),(49,1),(84,1),(85,1)}
        68:{1,3}:{(49,1),(85,1),(86,1)}
        69:{4,6,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{5,6}:{(50,1),(87,1)}
        71:{3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        72:{4,6}:{(52,1),(53,1),(88,1)}
        73:{2,4,7}:{(54,1),(55,1),(82,1),(88,1),(89,1),(102,1)}
        74:{3,6}:{(55,1),(56,1),(89,1)}
        75:{4,6}:{(57,1),(58,1),(91,1)}
        76:{3,6,7}:{(58,1),(60,1),(90,1),(92,1)}
        77:{3,5,6}:{(58,1),(59,1),(61,1),(91,1),(92,1),(93,1),(95,1)}
        78:{4,5}:{(59,1),(93,1)}
        79:{2,5,7}:{(60,1),(61,1),(64,1),(92,1),(94,1)}
        80:{2,4,6}:{(61,1),(62,1),(65,1),(93,1),(94,1),(95,1),(97,1)}
        81:{3,5}:{(62,1),(63,1),(95,1)}
        82:{1,4,7}:{(64,1),(65,1),(73,1),(94,1),(96,1),(104,1)}
        83:{1,3,6}:{(65,1),(66,1),(74,1),(95,1),(96,1),(97,1)}
        84:{2,5}:{(66,1),(67,1),(97,1),(98,1)}
        85:{1,4}:{(67,1),(68,1),(98,1)}
        86:{1,2}:{(68,1)}
        87:{5,7}:{(69,1),(70,1)}
        88:{4,7}:{(71,1),(72,1)}
        89:{3,7}:{(73,1),(74,1)}
        90:{4,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{5,6}:{(75,1),(99,1)}
        92:{3,5,7}:{(76,1),(77,1),(79,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(77,1),(78,1),(100,1)}
        94:{2,4,7}:{(79,1),(80,1),(82,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(80,1),(81,1),(101,1)}
        96:{1,3,7}:{(82,1),(83,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(83,1),(84,1),(102,1),(103,1)}
        98:{1,5}:{(84,1),(85,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 340 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 341 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 342 :  0:{1,2}:{(2,1)}
        1:{2,3}:{(2,1),(3,1)}
        2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
        3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
        4:{2,3}:{(2,1),(8,1)}
        5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
        6:{3,4}:{(3,1),(10,1)}
        7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
        8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
       10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
       11:{2,6}:{(7,1),(14,1),(16,1),(17,1)}
       12:{3,4}:{(8,1),(18,1)}
       13:{2,5}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,6}:{(9,1),(11,1),(19,1),(20,1)}
       15:{4,5}:{(10,1),(21,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(20,1),(22,1)}
       18:{3,5}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,7}:{(14,1),(17,1),(25,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,7}:{(16,1),(17,1),(27,1)}
       23:{4,5}:{(18,1),(28,1)}
       24:{3,6}:{(18,1),(19,1),(28,1),(29,1)}
       25:{2,7}:{(19,1),(20,1),(29,1)}
       26:{5,6}:{(21,1),(30,1)}
       27:{4,7}:{(21,1),(22,1),(30,1)}
       28:{4,6}:{(23,1),(24,1),(31,1),(32,1)}
       29:{3,7}:{(24,1),(25,1),(32,1)}
       30:{5,7}:{(26,1),(27,1),(33,1)}
       31:{5,6}:{(28,1),(34,1)}
       32:{4,7}:{(28,1),(29,1),(34,1)}
       33:{6,7}:{(30,1)}
       34:{5,7}:{(31,1),(32,1),(35,1)}
       35:{6,7}:{(34,1)}

 343 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 344 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 345 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(21,1),(42,1),(113,1),(138,1),(150,1),(211,1),(221,1),(225,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(27,1),(39,1),(79,1),(90,1),(101,1),(177,1),(194,1),(205,1),(206,1),(287,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(268,1),(281,1),(284,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(30,1),(73,1),(163,1),(195,1),(271,1),(288,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(21,1),(50,1),(70,1),(129,1),(138,1)}
         5:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(62,1),(66,1),(257,1),(264,1)}
         6:{1,3,5}:{(1,1),(2,1),(15,1),(17,1),(64,1),(236,1),(265,1),(345,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(16,1),(18,1),(46,1),(56,1),(124,1),(139,1),(151,1),(258,1),(350,1)}
         8:{2,4,5}:{(2,1),(12,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(18,1),(20,1),(21,1),(328,1),(346,1)}
        10:{1,2,4,6}:{(5,1),(22,1),(23,1),(24,1),(71,1),(79,1),(82,1),(177,1),(287,1),(290,1),(297,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(28,1),(39,1),(90,1),(108,1),(183,1),(194,1),(209,1)}
        12:{2,4,6}:{(4,1),(8,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(86,1),(97,1),(184,1),(195,1)}
        14:{2,3,6}:{(5,1),(22,1),(33,1),(34,1),(90,1),(322,1)}
        15:{2,5}:{(5,1),(6,1)}
        16:{2,4,7}:{(5,1),(7,1),(34,1),(36,1),(317,1)}
        17:{1,4,5}:{(6,1),(8,1),(27,1),(35,1),(79,1),(323,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(36,1),(38,1),(39,1),(105,1),(403,1)}
        19:{3,4,5}:{(8,1),(29,1),(162,1),(268,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(30,1),(38,1),(40,1),(41,1),(97,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(39,1),(41,1),(385,1),(404,1)}
        22:{1,3,6}:{(10,1),(14,1),(42,1),(45,1),(46,1),(355,1)}
        23:{1,2,5}:{(10,1),(15,1),(45,1),(111,1),(236,1),(345,1)}
        24:{1,2,4,7}:{(10,1),(16,1),(46,1),(48,1),(112,1),(124,1),(350,1),(351,1)}
        25:{2,4,5,6}:{(12,1),(49,1),(50,1),(51,1),(70,1),(129,1),(156,1),(210,1),(329,1),(359,1),(512,1),(541,1)}
        26:{2,5,6}:{(11,1),(15,1),(53,1),(54,1),(66,1),(257,1)}
        27:{1,4,6}:{(11,1),(12,1),(17,1),(53,1),(56,1),(266,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(54,1),(56,1),(57,1),(139,1),(143,1),(245,1),(258,1),(259,1)}
        29:{3,4,6}:{(12,1),(19,1),(50,1),(58,1),(541,1)}
        30:{2,4,7}:{(12,1),(13,1),(56,1),(58,1)}
        31:{2,3,6,7}:{(13,1),(21,1),(57,1),(59,1),(132,1),(246,1)}
        32:{2,3,4,6}:{(14,1),(44,1),(60,1),(61,1),(62,1),(135,1),(145,1),(149,1),(152,1),(219,1),(225,1),(334,1)}
        33:{2,3,5}:{(14,1),(15,1),(45,1),(62,1),(64,1)}
        34:{2,3,7}:{(14,1),(16,1),(46,1),(139,1)}
        35:{2,4,5}:{(15,1),(17,1),(53,1),(62,1),(64,1)}
        36:{2,5,7}:{(15,1),(16,1),(18,1),(66,1)}
        37:{1,3,4,5}:{(17,1),(19,1),(55,1),(64,1),(67,1),(123,1),(153,1),(223,1),(238,1),(356,1),(451,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(65,1),(68,1),(124,1),(143,1),(236,1)}
        39:{1,3,6}:{(18,1),(21,1),(66,1),(68,1),(154,1),(449,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(58,1),(69,1),(144,1),(220,1),(328,1),(341,1),(440,1)}
        41:{2,4,6}:{(20,1),(21,1),(68,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(273,1),(396,1)}
        43:{1,2,5,6}:{(23,1),(26,1),(74,1),(75,1),(76,1),(82,1),(159,1),(183,1),(284,1),(290,1),(303,1),(398,1),(402,1),(404,1),(470,1),(484,1)}
        44:{1,3,4,6}:{(22,1),(32,1),(71,1),(77,1),(78,1),(79,1),(162,1),(171,1),(175,1),(177,1),(273,1),(279,1),(280,1),(287,1),(390,1)}
        45:{1,3,5}:{(22,1),(23,1),(33,1),(72,1),(79,1)}
        46:{1,3,7}:{(22,1),(24,1),(34,1),(73,1)}
        47:{1,2,4,5}:{(23,1),(35,1),(75,1),(79,1),(81,1),(107,1),(160,1),(165,1),(176,1),(208,1),(284,1),(295,1),(297,1),(394,1),(402,1),(408,1),(466,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(36,1),(80,1),(82,1),(161,1),(403,1)}
        49:{1,4,5,6}:{(25,1),(27,1),(83,1),(84,1),(85,1),(108,1),(165,1),(183,1),(286,1),(300,1),(488,1)}
        50:{3,5,6}:{(25,1),(29,1),(86,1),(268,1),(385,1),(412,1)}
        51:{2,4,5,7}:{(25,1),(30,1),(85,1),(86,1),(87,1),(97,1),(184,1),(199,1),(413,1),(490,1),(530,1)}
        52:{2,3,5,6}:{(26,1),(33,1),(74,1),(88,1),(89,1),(90,1),(103,1),(169,1),(189,1),(207,1),(209,1),(284,1),(312,1),(313,1),(404,1),(470,1),(474,1),(515,1),(526,1),(545,1),(546,1)}
        53:{2,4,6}:{(26,1),(27,1),(35,1),(90,1),(91,1)}
        54:{2,5,7}:{(26,1),(28,1),(91,1),(92,1),(317,1)}
        55:{1,3,4,6}:{(27,1),(29,1),(37,1),(84,1),(90,1),(93,1),(94,1),(179,1),(194,1),(300,1),(412,1)}
        56:{1,4,7}:{(27,1),(28,1),(30,1),(91,1),(318,1)}
        57:{1,3,6,7}:{(28,1),(31,1),(39,1),(92,1),(95,1),(196,1),(307,1)}
        58:{3,4,7}:{(29,1),(30,1),(86,1),(530,1)}
        59:{2,4,6,7}:{(30,1),(31,1),(41,1),(95,1),(96,1),(97,1)}
        60:{2,3,5}:{(32,1),(77,1),(99,1),(189,1),(207,1),(284,1)}
        61:{2,3,4,7}:{(32,1),(34,1),(78,1),(100,1),(102,1),(192,1),(201,1),(288,1),(391,1)}
        62:{2,4}:{(33,1),(79,1),(101,1)}
        63:{2,3,5,7}:{(33,1),(34,1),(36,1),(80,1),(102,1),(103,1),(105,1),(207,1)}
        64:{3,5}:{(35,1),(90,1),(101,1)}
        65:{2,4,5,7}:{(35,1),(36,1),(38,1),(91,1),(102,1),(105,1),(106,1),(197,1),(207,1),(318,1),(323,1)}
        66:{2,6}:{(36,1),(39,1)}
        67:{2,4,5}:{(37,1),(93,1),(104,1),(107,1),(176,1),(208,1),(284,1)}
        68:{1,4,6}:{(38,1),(39,1),(41,1),(106,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(385,1),(477,1)}
        70:{2,5,6}:{(41,1),(97,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(44,1),(111,1),(112,1),(113,1),(218,1),(340,1),(441,1)}
        72:{2,3,5}:{(42,1),(45,1),(111,1),(113,1),(216,1)}
        73:{2,3,7}:{(42,1),(46,1),(112,1),(335,1)}
        74:{1,3,5,6}:{(43,1),(45,1),(52,1),(110,1),(115,1),(116,1),(117,1),(125,1),(223,1),(228,1),(236,1),(345,1),(347,1),(348,1),(447,1),(449,1),(509,1),(539,1)}
        75:{1,2,4,6}:{(43,1),(47,1),(53,1),(115,1),(117,1),(118,1),(141,1),(214,1),(225,1),(257,1),(352,1),(359,1),(441,1),(493,1)}
        76:{1,2,5,7}:{(43,1),(54,1),(116,1),(118,1),(119,1),(215,1),(245,1),(346,1),(351,1),(363,1),(445,1),(502,1)}
        77:{1,3,5}:{(44,1),(60,1),(111,1),(121,1),(216,1),(236,1),(341,1),(345,1)}
        78:{1,3,4,7}:{(44,1),(46,1),(61,1),(112,1),(122,1),(124,1),(220,1),(231,1),(335,1),(350,1),(442,1)}
        79:{1,4}:{(45,1),(62,1),(113,1)}
        80:{1,3,5,7}:{(45,1),(46,1),(48,1),(63,1),(114,1),(124,1),(125,1),(236,1)}
        81:{1,3,5}:{(47,1),(64,1),(117,1),(123,1),(126,1),(216,1),(355,1),(451,1),(497,1)}
        82:{1,2,6}:{(48,1),(66,1),(125,1),(218,1),(449,1)}
        83:{2,4,5,6}:{(49,1),(53,1),(127,1),(128,1),(129,1),(134,1),(155,1),(239,1),(252,1),(266,1),(454,1),(455,1)}
        84:{1,3,5,6}:{(49,1),(50,1),(55,1),(127,1),(129,1),(130,1),(223,1),(347,1)}
        85:{1,4,5,7}:{(49,1),(51,1),(56,1),(128,1),(130,1),(131,1),(143,1),(245,1),(360,1),(458,1)}
        86:{3,5,7}:{(50,1),(51,1),(58,1),(132,1),(456,1)}
        87:{2,4,6,7}:{(51,1),(131,1),(132,1),(133,1),(246,1),(247,1),(329,1)}
        88:{2,4,6}:{(52,1),(62,1),(115,1),(134,1),(135,1),(136,1),(266,1),(505,1),(550,1)}
        89:{2,3,5,7}:{(52,1),(54,1),(116,1),(136,1),(137,1),(139,1),(229,1),(251,1),(256,1),(259,1),(346,1),(502,1),(532,1),(548,1)}
        90:{3,6}:{(53,1),(64,1),(139,1)}
        91:{2,4,7}:{(53,1),(54,1),(56,1),(139,1)}
        92:{2,6,7}:{(54,1),(57,1),(66,1)}
        93:{2,4,6}:{(55,1),(67,1),(129,1),(138,1),(141,1),(142,1),(257,1)}
        94:{1,3,4,7}:{(55,1),(56,1),(58,1),(130,1),(139,1),(142,1),(240,1),(258,1),(360,1),(456,1)}
        95:{1,4,6,7}:{(56,1),(57,1),(59,1),(68,1),(140,1),(143,1)}
        96:{3,4,6,7}:{(58,1),(59,1),(69,1),(132,1),(144,1),(247,1)}
        97:{2,5,7}:{(59,1),(70,1),(143,1),(144,1)}
        98:{2,3,5,6}:{(60,1),(120,1),(145,1),(146,1),(149,1),(248,1),(263,1),(334,1),(342,1)}
        99:{2,4,5}:{(60,1),(62,1),(121,1),(145,1),(147,1)}
       100:{2,3,5,7}:{(60,1),(61,1),(122,1),(148,1),(149,1),(251,1),(346,1)}
       101:{3,4}:{(62,1),(64,1)}
       102:{2,4,7}:{(62,1),(63,1),(124,1),(151,1),(152,1)}
       103:{2,3,6}:{(63,1),(66,1),(125,1),(152,1),(154,1)}
       104:{2,3,5}:{(64,1),(67,1),(138,1),(150,1),(153,1),(451,1)}
       105:{3,5,7}:{(64,1),(65,1),(139,1),(151,1),(154,1),(265,1)}
       106:{2,4,6}:{(65,1),(66,1),(68,1),(154,1),(155,1),(266,1)}
       107:{1,4,5}:{(67,1),(141,1),(153,1),(235,1),(345,1)}
       108:{1,5,6}:{(68,1),(70,1),(143,1),(155,1),(236,1)}
       109:{3,5,6}:{(69,1),(70,1),(144,1),(156,1),(341,1)}
       110:{2,3,5,6}:{(72,1),(74,1),(157,1),(158,1),(159,1),(164,1),(169,1),(268,1),(273,1),(281,1),(284,1),(303,1),(385,1),(386,1),(395,1),(404,1),(412,1),(419,1),(492,1),(529,1),(531,1)}
       111:{2,5}:{(71,1),(77,1)}
       112:{2,4,7}:{(71,1),(73,1),(78,1),(161,1),(479,1)}
       113:{2,4}:{(72,1),(79,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(80,1),(161,1),(163,1),(164,1),(277,1),(281,1)}
       115:{1,4,6}:{(74,1),(79,1),(88,1),(157,1),(165,1),(167,1),(482,1)}
       116:{1,3,5,7}:{(74,1),(76,1),(89,1),(158,1),(167,1),(168,1),(170,1),(289,1),(291,1),(403,1)}
       117:{1,3,6}:{(75,1),(81,1),(90,1),(169,1),(170,1),(273,1),(412,1),(515,1)}
       118:{1,2,4,7}:{(75,1),(76,1),(91,1),(167,1),(170,1),(198,1),(274,1),(288,1),(317,1),(407,1),(413,1),(479,1),(516,1)}
       119:{1,2,6,7}:{(76,1),(82,1),(92,1),(168,1),(275,1),(307,1),(404,1),(417,1),(481,1),(484,1),(524,1)}
       120:{1,3,5,6}:{(77,1),(98,1),(159,1),(171,1),(172,1),(175,1),(273,1),(296,1),(390,1),(395,1),(398,1)}
       121:{1,4,5}:{(77,1),(79,1),(99,1),(160,1),(171,1),(397,1)}
       122:{1,3,5,7}:{(77,1),(78,1),(100,1),(161,1),(174,1),(175,1),(277,1),(403,1)}
       123:{1,3,4}:{(79,1),(81,1),(101,1),(162,1),(176,1),(482,1),(485,1),(520,1)}
       124:{1,4,7}:{(79,1),(80,1),(102,1),(163,1),(177,1)}
       125:{1,3,6}:{(80,1),(82,1),(103,1),(164,1),(177,1)}
       126:{2,3,5}:{(81,1),(169,1),(176,1),(178,1),(208,1),(284,1),(322,1),(394,1),(396,1)}
       127:{3,5,6}:{(83,1),(90,1),(179,1),(181,1),(189,1),(312,1)}
       128:{2,4,5,7}:{(83,1),(85,1),(91,1),(181,1),(182,1),(184,1),(197,1),(301,1),(318,1),(415,1),(416,1)}
       129:{2,5,6}:{(84,1),(93,1),(183,1),(184,1),(284,1),(404,1)}
       130:{1,3,5,7}:{(84,1),(85,1),(86,1),(94,1),(181,1),(184,1),(185,1)}
       131:{1,4,6,7}:{(85,1),(87,1),(182,1),(185,1),(186,1),(286,1),(307,1)}
       132:{3,6,7}:{(86,1),(87,1),(385,1)}
       133:{2,5,6,7}:{(87,1),(97,1),(186,1),(187,1),(386,1),(490,1)}
       134:{2,4,5}:{(88,1),(165,1),(189,1),(207,1),(284,1),(323,1),(546,1),(552,1)}
       135:{3,4,6}:{(88,1),(90,1),(101,1),(189,1),(192,1),(312,1),(515,1),(520,1)}
       136:{2,4,7}:{(88,1),(89,1),(167,1),(192,1),(318,1),(551,1)}
       137:{2,3,6,7}:{(89,1),(92,1),(103,1),(168,1),(193,1),(196,1),(312,1),(404,1),(524,1),(526,1),(542,1)}
       138:{2,3,6}:{(90,1),(93,1),(104,1),(194,1),(195,1),(412,1)}
       139:{3,7}:{(90,1),(91,1)}
       140:{2,4,6,7}:{(91,1),(92,1),(95,1),(106,1),(196,1),(197,1),(318,1)}
       141:{1,4,6}:{(93,1),(107,1),(183,1),(194,1),(198,1)}
       142:{2,4,7}:{(93,1),(94,1),(184,1),(195,1),(198,1),(317,1)}
       143:{1,5,7}:{(95,1),(97,1),(108,1),(197,1)}
       144:{3,5,7}:{(96,1),(97,1),(109,1),(199,1)}
       145:{2,4,6}:{(98,1),(99,1),(171,1),(200,1),(201,1)}
       146:{2,3,5,7}:{(98,1),(172,1),(201,1),(202,1),(308,1),(320,1),(391,1),(399,1)}
       147:{3,4,5}:{(99,1),(101,1),(189,1),(200,1),(552,1)}
       148:{2,4,5,7}:{(99,1),(100,1),(102,1),(174,1),(201,1),(203,1),(204,1),(207,1),(320,1)}
       149:{2,3,6}:{(100,1),(175,1),(204,1),(312,1),(404,1)}
       150:{2,3,4}:{(101,1),(104,1),(176,1),(205,1),(396,1),(485,1)}
       151:{3,4,7}:{(101,1),(102,1),(105,1),(206,1),(318,1)}
       152:{2,4,6}:{(102,1),(103,1),(177,1),(206,1),(207,1)}
       153:{1,3,5}:{(104,1),(107,1),(194,1),(205,1),(208,1)}
       154:{3,6}:{(105,1),(106,1)}
       155:{2,5,6}:{(106,1),(108,1),(197,1),(207,1),(209,1)}
       156:{4,5,6}:{(109,1),(199,1),(397,1),(477,1)}
       157:{2,4,6}:{(110,1),(113,1),(115,1),(210,1),(211,1),(212,1),(444,1),(460,1),(541,1)}
       158:{2,3,5,7}:{(110,1),(116,1),(212,1),(213,1),(215,1),(229,1),(328,1),(333,1),(335,1),(346,1),(363,1),(443,1),(456,1),(513,1)}
       159:{2,5,6}:{(111,1),(120,1),(214,1),(215,1),(218,1),(441,1)}
       160:{2,4,5}:{(111,1),(113,1),(121,1),(214,1),(216,1)}
       161:{2,5,7}:{(111,1),(112,1),(122,1),(218,1)}
       162:{3,4}:{(113,1),(216,1)}
       163:{2,4,7}:{(113,1),(114,1),(124,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(125,1),(218,1),(221,1),(338,1)}
       165:{1,4,5}:{(115,1),(134,1),(210,1),(223,1),(236,1),(345,1),(539,1)}
       166:{1,3,4,6}:{(115,1),(117,1),(123,1),(135,1),(211,1),(223,1),(225,1),(226,1),(347,1)}
       167:{1,4,7}:{(115,1),(116,1),(136,1),(212,1)}
       168:{1,3,6,7}:{(116,1),(119,1),(125,1),(137,1),(213,1),(227,1),(347,1),(449,1),(509,1)}
       169:{2,3,6}:{(117,1),(126,1),(225,1),(228,1),(229,1),(257,1),(441,1)}
       170:{1,3,7}:{(117,1),(118,1),(139,1),(229,1),(335,1),(456,1),(532,1)}
       171:{1,4,6}:{(120,1),(121,1),(145,1),(214,1),(231,1),(444,1)}
       172:{1,3,5,7}:{(120,1),(146,1),(215,1),(231,1),(232,1),(335,1),(354,1),(442,1),(443,1),(445,1)}
       173:{1,3,4,5}:{(121,1),(123,1),(147,1),(216,1),(223,1),(230,1),(233,1),(324,1),(337,1),(427,1),(497,1)}
       174:{1,4,5,7}:{(121,1),(122,1),(124,1),(148,1),(217,1),(231,1),(234,1),(236,1),(354,1)}
       175:{1,3,6}:{(122,1),(149,1),(218,1),(234,1),(338,1),(449,1)}
       176:{2,4}:{(123,1),(126,1),(235,1)}
       177:{1,4,6}:{(124,1),(125,1),(152,1),(221,1),(236,1)}
       178:{1,3,5}:{(126,1),(228,1),(235,1),(237,1),(345,1),(355,1)}
       179:{3,4,6}:{(127,1),(238,1),(239,1),(240,1),(266,1)}
       180:{2,3,5,6}:{(127,1),(129,1),(138,1),(239,1),(241,1),(242,1),(250,1),(370,1),(454,1)}
       181:{3,5,7}:{(127,1),(128,1),(139,1),(240,1),(243,1)}
       182:{2,4,6,7}:{(128,1),(131,1),(243,1),(244,1),(246,1),(252,1),(365,1)}
       183:{1,5,6}:{(129,1),(141,1),(245,1),(345,1),(449,1)}
       184:{2,5,7}:{(129,1),(130,1),(142,1),(245,1),(246,1)}
       185:{1,3,6,7}:{(130,1),(131,1),(132,1),(243,1),(246,1),(347,1)}
       186:{1,5,6,7}:{(131,1),(133,1),(143,1),(244,1),(348,1),(458,1)}
       187:{3,5,6,7}:{(132,1),(133,1),(144,1),(247,1),(437,1),(513,1)}
       188:{2,4,5,6}:{(134,1),(145,1),(222,1),(248,1),(249,1),(252,1),(263,1),(342,1),(376,1),(493,1),(537,1),(550,1)}
       189:{3,5}:{(134,1),(135,1)}
       190:{2,4,5,7}:{(134,1),(136,1),(224,1),(251,1),(252,1),(256,1),(346,1),(374,1)}
       191:{2,3,4,6}:{(135,1),(138,1),(150,1),(225,1),(239,1),(250,1),(253,1),(254,1),(370,1),(438,1),(505,1),(538,1)}
       192:{3,4,7}:{(135,1),(136,1),(139,1),(251,1),(532,1)}
       193:{2,4,6,7}:{(136,1),(137,1),(152,1),(227,1),(252,1),(255,1),(256,1),(538,1)}
       194:{1,3,6}:{(138,1),(141,1),(153,1),(257,1),(258,1)}
       195:{2,3,7}:{(138,1),(139,1),(142,1),(258,1),(456,1)}
       196:{3,6,7}:{(139,1),(140,1),(154,1),(259,1)}
       197:{2,5,7}:{(140,1),(143,1),(155,1),(259,1)}
       198:{1,4,7}:{(141,1),(142,1),(245,1),(258,1)}
       199:{4,5,7}:{(144,1),(156,1),(247,1)}
       200:{3,4,6}:{(145,1),(147,1),(248,1),(260,1),(550,1)}
       201:{2,4,7}:{(145,1),(146,1),(231,1),(260,1)}
       202:{2,3,6,7}:{(146,1),(149,1),(232,1),(261,1),(366,1),(446,1)}
       203:{3,4,5,7}:{(147,1),(148,1),(151,1),(251,1),(260,1),(262,1),(265,1),(374,1),(375,1)}
       204:{2,4,6}:{(148,1),(149,1),(234,1),(262,1),(263,1)}
       205:{1,3,4}:{(150,1),(153,1),(235,1),(264,1),(355,1)}
       206:{3,4,6}:{(151,1),(152,1),(154,1),(265,1),(266,1)}
       207:{2,5}:{(152,1),(236,1),(265,1)}
       208:{2,5}:{(153,1),(257,1),(264,1)}
       209:{3,5,6}:{(154,1),(155,1),(259,1),(265,1),(266,1)}
       210:{2,4,5}:{(157,1),(165,1),(268,1),(281,1),(284,1),(397,1),(531,1),(547,1)}
       211:{3,4,6}:{(157,1),(162,1),(268,1),(271,1),(273,1),(385,1),(412,1),(485,1)}
       212:{2,4,7}:{(157,1),(158,1),(167,1),(271,1),(480,1),(530,1)}
       213:{2,3,6,7}:{(158,1),(164,1),(168,1),(272,1),(275,1),(385,1),(392,1),(404,1),(417,1),(489,1),(492,1)}
       214:{2,4,6}:{(159,1),(160,1),(171,1),(273,1),(274,1)}
       215:{2,5,7}:{(159,1),(172,1),(274,1),(275,1),(479,1)}
       216:{3,5}:{(160,1),(162,1),(273,1)}
       217:{2,4,5,7}:{(160,1),(161,1),(163,1),(174,1),(274,1),(277,1),(278,1),(281,1),(393,1),(397,1),(480,1)}
       218:{2,6}:{(161,1),(175,1)}
       219:{2,3,4}:{(162,1),(176,1),(276,1),(279,1),(322,1),(520,1)}
       220:{3,4,7}:{(162,1),(163,1),(277,1),(280,1),(480,1)}
       221:{2,4,6}:{(163,1),(164,1),(177,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(171,1),(188,1),(267,1),(282,1),(283,1),(286,1),(296,1),(398,1),(463,1),(523,1)}
       223:{1,3,5}:{(165,1),(166,1),(189,1),(268,1),(284,1)}
       224:{1,4,5,7}:{(165,1),(167,1),(190,1),(269,1),(285,1),(286,1),(289,1),(403,1)}
       225:{2,4,6}:{(166,1),(169,1),(176,1),(284,1),(287,1),(288,1),(404,1)}
       226:{1,3,4,7}:{(166,1),(167,1),(170,1),(192,1),(271,1),(285,1),(288,1)}
       227:{1,4,6,7}:{(167,1),(168,1),(177,1),(193,1),(272,1),(286,1),(289,1),(527,1)}
       228:{1,3,6}:{(169,1),(178,1),(287,1),(290,1),(291,1)}
       229:{2,3,7}:{(169,1),(170,1),(288,1),(291,1),(317,1),(479,1)}
       230:{1,3,4,6}:{(171,1),(173,1),(200,1),(273,1),(282,1),(292,1),(293,1),(377,1),(390,1),(463,1),(515,1)}
       231:{1,4,7}:{(171,1),(172,1),(201,1),(274,1),(480,1)}
       232:{1,3,6,7}:{(172,1),(175,1),(202,1),(275,1),(294,1),(392,1),(481,1)}
       233:{2,4,5}:{(173,1),(176,1),(276,1),(284,1),(292,1),(295,1),(394,1)}
       234:{1,4,6}:{(174,1),(175,1),(204,1),(278,1),(296,1)}
       235:{1,4}:{(176,1),(178,1)}
       236:{1,5}:{(177,1),(207,1),(281,1)}
       237:{1,2,5}:{(178,1),(208,1),(290,1),(297,1),(394,1)}
       238:{3,4,5}:{(179,1),(189,1),(298,1),(323,1),(520,1)}
       239:{2,4,6}:{(179,1),(180,1),(298,1),(300,1),(301,1)}
       240:{3,4,7}:{(179,1),(181,1),(301,1),(318,1)}
       241:{1,3,5,6}:{(180,1),(183,1),(194,1),(300,1),(303,1),(304,1),(310,1),(412,1),(421,1),(488,1),(529,1)}
       242:{2,3,5,7}:{(180,1),(181,1),(184,1),(195,1),(301,1),(304,1),(305,1),(415,1)}
       243:{3,6,7}:{(181,1),(182,1),(312,1)}
       244:{2,5,6,7}:{(182,1),(186,1),(197,1),(306,1),(313,1),(415,1)}
       245:{1,5,7}:{(183,1),(184,1),(198,1),(307,1)}
       246:{2,6,7}:{(184,1),(185,1),(307,1),(404,1)}
       247:{4,6,7}:{(187,1),(199,1),(477,1),(530,1)}
       248:{3,5,6}:{(188,1),(189,1),(200,1),(308,1),(312,1),(515,1)}
       249:{2,4,5,7}:{(188,1),(201,1),(283,1),(308,1),(309,1),(320,1),(399,1),(424,1),(516,1),(543,1),(551,1)}
       250:{2,3,5}:{(189,1),(191,1),(284,1),(298,1),(310,1),(546,1)}
       251:{3,5,7}:{(189,1),(190,1),(192,1),(312,1)}
       252:{2,4,6}:{(190,1),(286,1),(312,1),(313,1),(404,1),(422,1)}
       253:{1,3,4,6}:{(191,1),(194,1),(205,1),(287,1),(300,1),(310,1),(314,1),(315,1),(405,1),(412,1),(421,1),(482,1),(485,1),(527,1),(528,1)}
       254:{2,3,4,7}:{(191,1),(192,1),(195,1),(288,1),(301,1),(311,1),(315,1),(478,1),(525,1)}
       255:{3,4,6,7}:{(192,1),(193,1),(196,1),(206,1),(312,1),(316,1),(318,1),(422,1),(542,1),(544,1),(551,1)}
       256:{2,5,7}:{(193,1),(207,1),(289,1),(313,1),(316,1),(546,1)}
       257:{2,6}:{(194,1),(208,1),(317,1)}
       258:{1,3,7}:{(194,1),(195,1),(198,1),(317,1)}
       259:{3,5,7}:{(196,1),(197,1),(209,1),(318,1)}
       260:{3,4,7}:{(200,1),(201,1),(308,1),(551,1)}
       261:{2,4,6,7}:{(201,1),(202,1),(204,1),(294,1),(319,1),(320,1)}
       262:{3,4,6}:{(203,1),(204,1),(312,1),(321,1),(422,1)}
       263:{2,5,6}:{(204,1),(207,1),(296,1),(320,1),(321,1)}
       264:{2,4}:{(205,1),(208,1),(322,1)}
       265:{3,5}:{(206,1),(207,1),(323,1)}
       266:{4,6}:{(209,1),(318,1),(323,1)}
       267:{2,4,5,6}:{(210,1),(214,1),(222,1),(325,1),(326,1),(329,1),(339,1),(342,1),(425,1),(444,1),(500,1),(501,1)}
       268:{3,5}:{(210,1),(211,1)}
       269:{2,4,5,7}:{(210,1),(212,1),(224,1),(328,1),(329,1),(333,1),(346,1),(440,1)}
       270:{2,3,4,6}:{(211,1),(219,1),(225,1),(327,1),(330,1),(331,1),(334,1),(372,1),(425,1),(436,1),(460,1),(514,1)}
       271:{3,4,7}:{(211,1),(212,1),(328,1),(335,1),(456,1)}
       272:{2,4,6,7}:{(212,1),(213,1),(221,1),(227,1),(329,1),(332,1),(333,1),(514,1)}
       273:{3,6}:{(214,1),(216,1),(335,1)}
       274:{2,4,7}:{(214,1),(215,1),(231,1),(335,1)}
       275:{2,6,7}:{(215,1),(218,1),(232,1)}
       276:{2,3,5}:{(216,1),(219,1),(233,1),(334,1),(337,1),(497,1)}
       277:{3,5,7}:{(216,1),(217,1),(220,1),(335,1),(338,1),(341,1)}
       278:{2,4,6}:{(217,1),(218,1),(234,1),(338,1),(339,1),(444,1)}
       279:{1,3,4}:{(219,1),(235,1),(337,1),(340,1),(355,1)}
       280:{3,4,6}:{(220,1),(221,1),(338,1),(341,1),(444,1)}
       281:{2,5}:{(221,1),(236,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(230,1),(248,1),(325,1),(342,1),(343,1),(347,1)}
       283:{1,4,5,7}:{(222,1),(231,1),(249,1),(326,1),(343,1),(344,1),(354,1),(445,1),(494,1),(534,1)}
       284:{2,5}:{(223,1),(225,1),(345,1)}
       285:{1,3,5,7}:{(223,1),(224,1),(226,1),(251,1),(328,1),(346,1),(347,1)}
       286:{1,4,6}:{(224,1),(252,1),(329,1),(347,1),(348,1),(449,1)}
       287:{1,4,6}:{(225,1),(228,1),(235,1),(345,1),(350,1),(449,1)}
       288:{2,4,7}:{(225,1),(226,1),(229,1),(346,1),(350,1)}
       289:{1,5,7}:{(227,1),(236,1),(256,1),(333,1),(348,1),(539,1)}
       290:{1,2,6}:{(228,1),(237,1),(257,1),(351,1),(441,1)}
       291:{1,3,7}:{(228,1),(229,1),(350,1),(351,1)}
       292:{2,4,6}:{(230,1),(233,1),(334,1),(342,1),(352,1),(353,1),(441,1)}
       293:{1,3,4,7}:{(230,1),(231,1),(260,1),(335,1),(343,1),(353,1),(426,1),(442,1),(494,1),(532,1)}
       294:{1,4,6,7}:{(231,1),(232,1),(234,1),(261,1),(336,1),(354,1)}
       295:{1,4,5}:{(233,1),(235,1),(337,1),(345,1),(352,1)}
       296:{1,5,6}:{(234,1),(236,1),(263,1),(339,1),(354,1)}
       297:{1,2,4}:{(235,1),(237,1),(264,1),(340,1),(355,1)}
       298:{2,4,5}:{(238,1),(239,1),(250,1),(356,1),(505,1)}
       299:{3,4,5,7}:{(238,1),(240,1),(251,1),(357,1),(358,1),(362,1),(374,1),(535,1),(549,1)}
       300:{1,4,6}:{(239,1),(241,1),(356,1),(359,1),(360,1),(541,1)}
       301:{2,4,7}:{(239,1),(240,1),(242,1),(360,1)}
       302:{3,4,6,7}:{(240,1),(243,1),(358,1),(361,1),(362,1),(365,1)}
       303:{2,5,6}:{(241,1),(257,1),(359,1),(363,1),(368,1),(462,1)}
       304:{1,3,5,7}:{(241,1),(242,1),(245,1),(258,1),(360,1),(363,1),(364,1),(456,1),(458,1),(513,1)}
       305:{2,3,6,7}:{(242,1),(243,1),(246,1),(361,1),(364,1),(370,1)}
       306:{3,5,6,7}:{(243,1),(244,1),(259,1),(362,1),(365,1),(371,1)}
       307:{1,6,7}:{(245,1),(246,1),(449,1)}
       308:{3,5,7}:{(248,1),(249,1),(260,1),(366,1),(532,1)}
       309:{2,4,6,7}:{(249,1),(252,1),(344,1),(366,1),(367,1),(446,1),(459,1)}
       310:{1,3,5}:{(250,1),(253,1),(345,1),(356,1),(368,1),(451,1),(539,1),(540,1)}
       311:{2,3,5,7}:{(250,1),(251,1),(254,1),(346,1),(357,1),(369,1),(370,1)}
       312:{3,6}:{(251,1),(252,1)}
       313:{2,5,6}:{(252,1),(256,1),(348,1),(371,1)}
       314:{2,4,6}:{(253,1),(257,1),(264,1),(368,1),(372,1),(373,1),(460,1),(462,1)}
       315:{1,3,4,7}:{(253,1),(254,1),(258,1),(350,1),(360,1),(369,1),(373,1),(450,1),(456,1),(508,1),(510,1)}
       316:{3,5,7}:{(255,1),(256,1),(265,1),(371,1),(374,1),(549,1)}
       317:{2,7}:{(257,1),(258,1)}
       318:{4,7}:{(259,1),(266,1)}
       319:{3,4,6,7}:{(260,1),(261,1),(262,1),(366,1),(375,1),(459,1)}
       320:{2,5,7}:{(261,1),(263,1),(354,1),(375,1)}
       321:{3,5,6}:{(262,1),(263,1),(265,1),(375,1),(376,1)}
       322:{2,3}:{(264,1),(355,1)}
       323:{4,5}:{(265,1),(266,1)}
       324:{3,4,5}:{(268,1),(377,1),(378,1),(397,1),(485,1)}
       325:{3,5,6}:{(267,1),(268,1),(273,1),(377,1),(381,1),(385,1)}
       326:{2,4,5,7}:{(267,1),(274,1),(283,1),(381,1),(382,1),(393,1),(399,1),(464,1),(480,1),(518,1),(519,1)}
       327:{2,3,5}:{(268,1),(270,1),(284,1),(378,1),(383,1),(531,1)}
       328:{3,5,7}:{(268,1),(269,1),(271,1),(385,1)}
       329:{2,4,6}:{(269,1),(286,1),(385,1),(386,1),(404,1),(477,1)}
       330:{1,3,4,6}:{(270,1),(279,1),(287,1),(383,1),(387,1),(388,1),(390,1),(405,1),(463,1),(476,1),(482,1),(515,1),(520,1),(527,1),(544,1)}
       331:{2,3,4,7}:{(270,1),(271,1),(288,1),(384,1),(388,1),(391,1),(423,1),(464,1),(491,1)}
       332:{3,4,6,7}:{(271,1),(272,1),(280,1),(385,1),(389,1),(392,1),(477,1),(480,1),(489,1),(528,1),(530,1)}
       333:{2,5,7}:{(272,1),(281,1),(289,1),(386,1),(389,1),(531,1)}
       334:{2,3,6}:{(273,1),(276,1),(292,1),(390,1),(391,1),(515,1)}
       335:{3,7}:{(273,1),(274,1)}
       336:{2,4,6,7}:{(274,1),(275,1),(278,1),(294,1),(392,1),(393,1),(480,1)}
       337:{1,3,5}:{(276,1),(279,1),(295,1),(390,1),(394,1)}
       338:{3,6}:{(277,1),(278,1)}
       339:{2,5,6}:{(278,1),(281,1),(296,1),(393,1),(395,1)}
       340:{2,4}:{(279,1),(394,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(292,1),(398,1),(399,1),(404,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(293,1),(308,1),(381,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(286,1),(309,1),(382,1),(400,1),(401,1),(481,1)}
       345:{1,5}:{(284,1),(287,1)}
       346:{2,5,7}:{(284,1),(285,1),(288,1),(403,1),(404,1)}
       347:{1,3,6}:{(285,1),(286,1),(312,1),(385,1),(404,1)}
       348:{1,5,6}:{(286,1),(289,1),(313,1),(386,1)}
       349:{1,2,4,6}:{(287,1),(290,1),(297,1),(314,1),(387,1),(402,1),(405,1),(406,1),(482,1),(484,1),(527,1)}
       350:{1,4,7}:{(287,1),(288,1),(291,1),(403,1)}
       351:{1,2,7}:{(290,1),(291,1),(317,1),(479,1)}
       352:{1,4,6}:{(292,1),(295,1),(390,1),(398,1),(407,1)}
       353:{2,4,7}:{(292,1),(293,1),(391,1),(399,1),(407,1),(479,1)}
       354:{1,5,7}:{(294,1),(296,1),(320,1),(393,1)}
       355:{1,3}:{(297,1),(322,1),(396,1)}
       356:{1,4,5}:{(298,1),(300,1),(310,1),(408,1),(482,1),(547,1)}
       357:{2,4,5,7}:{(298,1),(299,1),(301,1),(311,1),(409,1),(410,1),(415,1),(525,1),(546,1)}
       358:{3,4,6}:{(299,1),(312,1),(410,1),(411,1),(422,1)}
       359:{2,4,6}:{(300,1),(303,1),(408,1),(412,1),(413,1)}
       360:{1,4,7}:{(300,1),(301,1),(304,1),(413,1),(530,1)}
       361:{2,4,6,7}:{(301,1),(302,1),(305,1),(410,1),(414,1),(415,1)}
       362:{3,5,7}:{(302,1),(411,1),(415,1),(416,1)}
       363:{2,5,7}:{(303,1),(304,1),(317,1),(413,1),(417,1)}
       364:{1,3,6,7}:{(304,1),(305,1),(307,1),(414,1),(417,1),(421,1),(489,1)}
       365:{4,6,7}:{(306,1),(318,1),(416,1),(422,1)}
       366:{3,6,7}:{(308,1),(309,1),(312,1)}
       367:{2,5,6,7}:{(309,1),(313,1),(320,1),(401,1),(418,1),(543,1)}
       368:{2,5}:{(310,1),(314,1)}
       369:{1,3,5,7}:{(310,1),(311,1),(315,1),(403,1),(409,1),(420,1),(421,1),(486,1)}
       370:{2,3,6}:{(311,1),(312,1),(404,1),(410,1),(421,1)}
       371:{3,5,6}:{(312,1),(313,1),(316,1),(422,1)}
       372:{2,3,6}:{(314,1),(322,1),(405,1),(412,1),(419,1),(423,1)}
       373:{2,4,7}:{(314,1),(315,1),(317,1),(420,1),(423,1)}
       374:{4,5,7}:{(316,1),(318,1),(323,1),(422,1),(551,1),(552,1)}
       375:{3,5,7}:{(319,1),(320,1),(321,1),(424,1)}
       376:{4,5,6}:{(321,1),(323,1),(422,1),(424,1)}
       377:{3,4,6}:{(324,1),(325,1),(425,1),(426,1),(444,1)}
       378:{2,4,5}:{(324,1),(327,1),(425,1),(427,1),(460,1)}
       379:{3,4,5,7}:{(324,1),(328,1),(426,1),(428,1),(429,1),(440,1),(496,1),(510,1),(540,1)}
       380:{2,3,5,6}:{(325,1),(327,1),(334,1),(342,1),(425,1),(430,1),(431,1),(436,1),(500,1)}
       381:{3,5,7}:{(325,1),(326,1),(335,1),(426,1),(432,1)}
       382:{2,4,6,7}:{(326,1),(329,1),(344,1),(432,1),(433,1),(446,1),(504,1)}
       383:{1,3,5}:{(327,1),(330,1),(345,1),(427,1),(434,1),(497,1),(539,1),(549,1)}
       384:{2,3,5,7}:{(327,1),(328,1),(331,1),(346,1),(428,1),(435,1),(436,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(333,1),(348,1),(437,1)}
       387:{2,4,6}:{(330,1),(340,1),(434,1),(438,1),(439,1),(441,1),(505,1),(507,1)}
       388:{1,3,4,7}:{(330,1),(331,1),(350,1),(435,1),(439,1),(442,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       389:{3,5,7}:{(332,1),(333,1),(341,1),(437,1),(440,1),(540,1)}
       390:{1,3,6}:{(334,1),(337,1),(352,1),(441,1),(442,1)}
       391:{2,3,7}:{(334,1),(335,1),(353,1),(442,1),(532,1)}
       392:{3,6,7}:{(335,1),(336,1),(338,1),(443,1)}
       393:{2,5,7}:{(336,1),(339,1),(354,1),(443,1)}
       394:{2,5}:{(337,1),(340,1),(441,1)}
       395:{3,5,6}:{(338,1),(339,1),(341,1),(443,1),(444,1)}
       396:{2,3}:{(340,1),(355,1)}
       397:{4,5}:{(341,1),(444,1)}
       398:{1,5,6}:{(342,1),(345,1),(352,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(353,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(347,1),(366,1),(432,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(348,1),(354,1),(367,1),(433,1),(534,1)}
       402:{1,2,5}:{(345,1),(349,1),(368,1),(434,1),(447,1),(539,1)}
       403:{1,5,7}:{(345,1),(346,1),(350,1),(449,1)}
       404:{2,6}:{(346,1),(347,1),(449,1)}
       405:{1,3,6}:{(349,1),(355,1),(372,1),(438,1),(447,1),(450,1)}
       406:{1,2,4,7}:{(349,1),(350,1),(351,1),(373,1),(439,1),(448,1),(450,1),(508,1)}
       407:{1,4,7}:{(352,1),(353,1),(442,1),(445,1)}
       408:{2,4,5}:{(356,1),(359,1),(368,1),(451,1),(460,1)}
       409:{1,4,5,7}:{(356,1),(357,1),(360,1),(369,1),(452,1),(453,1),(458,1),(508,1),(539,1)}
       410:{2,4,6}:{(357,1),(358,1),(370,1),(453,1),(454,1)}
       411:{3,5,6}:{(358,1),(362,1),(454,1),(455,1),(549,1)}
       412:{3,6}:{(359,1),(451,1),(456,1)}
       413:{2,4,7}:{(359,1),(360,1),(363,1),(456,1)}
       414:{1,4,6,7}:{(360,1),(361,1),(364,1),(453,1),(457,1),(458,1)}
       415:{2,5,7}:{(361,1),(362,1),(454,1),(458,1)}
       416:{4,5,7}:{(362,1),(365,1),(455,1)}
       417:{2,6,7}:{(363,1),(364,1),(462,1)}
       418:{3,5,6,7}:{(366,1),(367,1),(371,1),(375,1),(459,1),(548,1)}
       419:{2,3,5}:{(368,1),(372,1),(447,1),(451,1),(460,1)}
       420:{2,5,7}:{(368,1),(369,1),(373,1),(462,1)}
       421:{1,3,6}:{(369,1),(370,1),(449,1),(453,1),(462,1),(511,1)}
       422:{4,6}:{(371,1),(374,1)}
       423:{2,3,7}:{(372,1),(373,1),(450,1),(456,1)}
       424:{4,5,7}:{(375,1),(376,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(380,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(381,1),(464,1),(480,1)}
       427:{1,4,5}:{(378,1),(383,1),(463,1),(466,1),(482,1),(552,1)}
       428:{2,4,5,7}:{(378,1),(379,1),(384,1),(464,1),(467,1),(468,1),(491,1),(518,1),(531,1)}
       429:{3,4,6}:{(379,1),(385,1),(468,1),(469,1),(477,1)}
       430:{1,3,5,6}:{(380,1),(383,1),(390,1),(398,1),(463,1),(470,1),(471,1),(476,1),(515,1),(523,1),(545,1)}
       431:{2,3,5,7}:{(380,1),(381,1),(391,1),(399,1),(464,1),(471,1),(472,1),(518,1)}
       432:{3,6,7}:{(381,1),(382,1),(385,1)}
       433:{2,5,6,7}:{(382,1),(386,1),(393,1),(401,1),(473,1),(518,1)}
       434:{2,5}:{(383,1),(387,1)}
       435:{1,3,5,7}:{(383,1),(384,1),(388,1),(403,1),(467,1),(475,1),(476,1),(521,1)}
       436:{2,3,6}:{(384,1),(385,1),(404,1),(468,1),(476,1)}
       437:{3,5,6}:{(385,1),(386,1),(389,1),(477,1)}
       438:{2,3,6}:{(387,1),(396,1),(405,1),(474,1),(478,1),(515,1)}
       439:{2,4,7}:{(387,1),(388,1),(475,1),(478,1),(479,1)}
       440:{4,5,7}:{(389,1),(397,1),(477,1),(480,1),(530,1),(547,1)}
       441:{2,6}:{(390,1),(394,1),(479,1)}
       442:{1,3,7}:{(390,1),(391,1),(407,1),(479,1)}
       443:{3,5,7}:{(392,1),(393,1),(395,1),(480,1)}
       444:{4,6}:{(395,1),(397,1),(480,1)}
       445:{1,5,7}:{(398,1),(399,1),(407,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(404,1),(481,1)}
       447:{1,3,5}:{(402,1),(405,1),(419,1),(474,1),(482,1)}
       448:{1,2,5,7}:{(402,1),(403,1),(406,1),(420,1),(475,1),(483,1),(484,1)}
       449:{1,6}:{(403,1),(404,1)}
       450:{1,3,7}:{(405,1),(406,1),(423,1),(478,1)}
       451:{3,5}:{(408,1),(412,1),(485,1)}
       452:{2,4,5,7}:{(408,1),(409,1),(413,1),(420,1),(486,1),(487,1),(490,1),(491,1),(530,1),(531,1),(547,1)}
       453:{1,4,6}:{(409,1),(410,1),(421,1),(487,1),(488,1)}
       454:{2,5,6}:{(410,1),(411,1),(415,1),(488,1),(546,1)}
       455:{4,5,6}:{(411,1),(416,1),(422,1),(552,1)}
       456:{3,7}:{(412,1),(413,1)}
       457:{2,4,6,7}:{(413,1),(414,1),(417,1),(487,1),(489,1),(490,1),(530,1)}
       458:{1,5,7}:{(414,1),(415,1),(488,1),(490,1)}
       459:{4,6,7}:{(418,1),(422,1),(424,1),(551,1)}
       460:{2,4}:{(419,1),(482,1),(485,1)}
       461:{2,3,5,7}:{(419,1),(420,1),(423,1),(483,1),(486,1),(491,1),(492,1),(531,1)}
       462:{2,6}:{(420,1),(421,1)}
       463:{1,4,6}:{(425,1),(427,1),(430,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(431,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(432,1),(495,1),(496,1),(504,1)}
       466:{2,4,5}:{(427,1),(434,1),(493,1),(497,1),(505,1)}
       467:{1,4,5,7}:{(427,1),(428,1),(435,1),(494,1),(498,1),(499,1),(508,1),(534,1),(539,1)}
       468:{2,4,6}:{(428,1),(429,1),(436,1),(499,1),(500,1)}
       469:{3,5,6}:{(429,1),(496,1),(500,1),(501,1),(540,1)}
       470:{2,5,6}:{(430,1),(434,1),(441,1),(493,1),(502,1),(507,1)}
       471:{1,3,5,7}:{(430,1),(431,1),(442,1),(445,1),(494,1),(502,1),(503,1),(532,1),(534,1),(548,1)}
       472:{2,3,6,7}:{(431,1),(432,1),(436,1),(446,1),(495,1),(503,1)}
       473:{3,5,6,7}:{(432,1),(433,1),(437,1),(443,1),(496,1),(504,1)}
       474:{2,3,5}:{(434,1),(438,1),(447,1),(497,1),(505,1)}
       475:{2,5,7}:{(434,1),(435,1),(439,1),(507,1)}
       476:{1,3,6}:{(435,1),(436,1),(449,1),(499,1),(507,1),(536,1)}
       477:{4,6}:{(437,1),(440,1)}
       478:{2,3,7}:{(438,1),(439,1),(450,1),(532,1)}
       479:{2,7}:{(441,1),(442,1)}
       480:{4,7}:{(443,1),(444,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(460,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(461,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(462,1),(507,1),(509,1)}
       485:{3,4}:{(451,1),(460,1)}
       486:{3,5,7}:{(451,1),(452,1),(456,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(452,1),(453,1),(462,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(453,1),(454,1),(458,1),(512,1),(539,1)}
       489:{3,6,7}:{(456,1),(457,1),(511,1),(513,1)}
       490:{2,5,7}:{(457,1),(458,1),(512,1),(513,1)}
       491:{2,4,7}:{(460,1),(461,1),(508,1),(510,1),(514,1)}
       492:{2,3,6}:{(461,1),(462,1),(509,1),(511,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(470,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(471,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(472,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(469,1),(518,1),(519,1)}
       497:{3,5}:{(466,1),(515,1),(520,1)}
       498:{2,4,5,7}:{(466,1),(467,1),(475,1),(516,1),(521,1),(522,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       499:{1,4,6}:{(467,1),(468,1),(476,1),(522,1),(523,1)}
       500:{2,5,6}:{(468,1),(469,1),(518,1),(523,1),(531,1)}
       501:{4,5,6}:{(469,1),(477,1),(519,1),(547,1)}
       502:{2,5,7}:{(470,1),(471,1),(479,1),(516,1),(524,1)}
       503:{1,3,6,7}:{(471,1),(472,1),(476,1),(481,1),(517,1),(524,1),(542,1)}
       504:{4,6,7}:{(473,1),(477,1),(480,1),(519,1)}
       505:{2,4}:{(474,1),(482,1),(520,1)}
       506:{2,3,5,7}:{(474,1),(475,1),(478,1),(483,1),(521,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(475,1),(476,1)}
       508:{1,4,7}:{(482,1),(483,1),(491,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(492,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(491,1),(528,1),(530,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(490,1),(529,1),(531,1)}
       513:{3,5,7}:{(489,1),(490,1),(529,1),(530,1)}
       514:{2,4,6}:{(491,1),(492,1),(527,1),(528,1),(531,1)}
       515:{3,6}:{(493,1),(497,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(499,1),(503,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(500,1),(534,1)}
       519:{4,5,7}:{(496,1),(501,1),(504,1)}
       520:{3,4}:{(497,1),(505,1)}
       521:{3,5,7}:{(497,1),(498,1),(532,1),(535,1),(536,1),(549,1)}
       522:{2,4,6}:{(498,1),(499,1),(507,1),(536,1),(537,1),(550,1)}
       523:{1,5,6}:{(499,1),(500,1),(534,1),(537,1),(539,1)}
       524:{2,6,7}:{(502,1),(503,1),(507,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(514,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(514,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       530:{4,7}:{(513,1),(541,1)}
       531:{2,5}:{(514,1),(539,1),(540,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(522,1),(524,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(523,1),(543,1)}
       535:{3,4,7}:{(520,1),(521,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{2,5,6}:{(522,1),(523,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{3,5}:{(528,1),(531,1),(547,1)}
       541:{4,6}:{(529,1),(530,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 346 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(65,1),(107,1),(239,1),(307,1),(319,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(32,1),(44,1),(101,1),(148,1),(248,1),(352,1),(358,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(358,1),(370,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(75,1),(83,1),(99,1),(186,1),(294,1),(372,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(150,1),(155,1),(187,1),(193,1),(254,1),(265,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(24,1),(55,1),(65,1),(107,1),(199,1)}
         6:{3,4,6}:{(1,1),(14,1),(16,1),(398,1),(404,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(17,1),(18,1),(23,1),(51,1),(417,1)}
         8:{2,3,6}:{(2,1),(14,1),(18,1),(404,1),(416,1)}
         9:{2,4,7}:{(3,1),(17,1),(21,1),(22,1),(347,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(18,1),(22,1),(23,1),(49,1),(64,1),(113,1),(120,1),(123,1),(139,1),(145,1),(240,1),(244,1),(320,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(199,1),(306,1),(318,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(75,1),(372,1),(374,1)}
        13:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(43,1),(75,1),(87,1),(99,1),(158,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(29,1),(31,1)}
        15:{3,4,6,7}:{(6,1),(30,1),(32,1),(92,1),(101,1),(179,1)}
        16:{3,5,6}:{(6,1),(31,1),(32,1),(33,1),(248,1)}
        17:{2,5,7}:{(7,1),(9,1),(35,1),(42,1)}
        18:{1,3,6}:{(7,1),(8,1),(29,1),(35,1),(84,1),(454,1)}
        19:{2,3,6,7}:{(8,1),(30,1),(36,1),(38,1),(179,1),(284,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(31,1),(37,1),(38,1),(39,1),(91,1),(178,1),(187,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(186,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(158,1),(170,1),(371,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(17,1),(46,1),(47,1),(50,1),(109,1),(417,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(113,1),(120,1),(320,1),(322,1),(326,1)}
        28:{2,4,5,7}:{(13,1),(17,1),(51,1),(52,1),(59,1),(70,1),(126,1),(135,1),(138,1),(222,1),(224,1)}
        29:{1,4,6}:{(13,1),(14,1),(18,1),(52,1),(54,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(55,1),(65,1)}
        31:{2,5,6}:{(14,1),(16,1),(54,1),(55,1),(199,1)}
        32:{3,5,7}:{(15,1),(16,1),(55,1),(58,1)}
        33:{4,5,6}:{(16,1),(58,1),(301,1),(398,1)}
        34:{2,3,5,7}:{(17,1),(21,1),(46,1),(51,1),(59,1),(60,1),(69,1),(135,1)}
        35:{2,6}:{(17,1),(18,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(53,1),(61,1),(63,1),(124,1),(339,1)}
        37:{1,3,5,6}:{(18,1),(20,1),(23,1),(54,1),(62,1),(63,1),(64,1),(125,1),(139,1),(231,1),(240,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(55,1),(63,1),(65,1),(132,1),(230,1),(239,1)}
        39:{2,4,6}:{(20,1),(24,1),(64,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(59,1),(67,1),(68,1),(237,1),(242,1),(319,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(139,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(64,1),(70,1),(120,1),(222,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(306,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(34,1),(72,1),(75,1),(76,1),(81,1),(158,1)}
        47:{1,2,6}:{(25,1),(35,1),(76,1),(153,1),(454,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(75,1),(79,1),(80,1),(148,1),(268,1),(362,1),(372,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(158,1),(371,1)}
        51:{3,5,7}:{(28,1),(83,1),(84,1),(105,1),(170,1),(186,1)}
        52:{2,4,6}:{(28,1),(29,1),(35,1),(84,1),(86,1),(172,1)}
        53:{1,4,6,7}:{(29,1),(30,1),(36,1),(85,1),(87,1),(99,1)}
        54:{1,5,6}:{(29,1),(31,1),(86,1),(87,1),(158,1)}
        55:{2,5,7}:{(30,1),(31,1),(32,1),(87,1)}
        56:{2,4,5,6}:{(31,1),(33,1),(39,1),(88,1),(90,1),(91,1),(178,1),(252,1),(357,1),(386,1),(511,1),(540,1)}
        57:{3,5,6,7}:{(32,1),(89,1),(92,1),(179,1),(351,1),(514,1)}
        58:{4,5,7}:{(32,1),(33,1),(92,1)}
        59:{2,4,7}:{(34,1),(75,1),(83,1),(94,1),(104,1)}
        60:{2,3,6}:{(34,1),(35,1),(76,1),(84,1),(94,1)}
        61:{2,6,7}:{(35,1),(36,1),(97,1)}
        62:{2,5,6}:{(35,1),(37,1),(42,1),(97,1),(98,1),(295,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(87,1),(97,1),(99,1),(171,1),(186,1),(285,1),(294,1)}
        64:{1,4,6}:{(37,1),(39,1),(43,1),(98,1),(99,1),(172,1)}
        65:{2,4,7}:{(38,1),(39,1),(99,1),(101,1)}
        66:{3,4,6}:{(39,1),(44,1),(91,1),(101,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(93,1),(102,1),(103,1),(290,1),(370,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(94,1),(102,1),(103,1),(104,1),(185,1),(191,1),(258,1),(265,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(98,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(100,1),(105,1),(106,1),(166,1),(194,1),(263,1),(277,1),(382,1),(461,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(199,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,4,7}:{(46,1),(59,1),(107,1),(113,1),(120,1)}
        76:{1,3,6}:{(46,1),(47,1),(60,1),(108,1),(113,1)}
        77:{1,2,6,7}:{(47,1),(61,1),(114,1),(116,1),(202,1),(339,1),(416,1),(430,1),(484,1),(485,1),(524,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(62,1),(115,1),(116,1),(117,1),(203,1),(231,1),(318,1),(322,1),(338,1),(415,1),(416,1),(418,1),(478,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(112,1),(118,1),(119,1),(195,1),(417,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(113,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(320,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(209,1),(217,1),(245,1),(318,1),(325,1),(326,1),(411,1),(418,1),(425,1),(475,1),(487,1)}
        83:{3,4,7}:{(51,1),(59,1),(123,1),(145,1),(224,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,4,6,7}:{(52,1),(53,1),(61,1),(124,1),(126,1),(138,1),(224,1)}
        86:{2,5,6}:{(52,1),(54,1),(125,1),(126,1),(135,1)}
        87:{1,5,7}:{(53,1),(54,1),(55,1),(126,1)}
        88:{1,4,5,6}:{(54,1),(56,1),(64,1),(127,1),(129,1),(130,1),(209,1),(231,1),(316,1),(335,1),(488,1)}
        89:{2,5,6,7}:{(55,1),(57,1),(128,1),(131,1),(304,1),(492,1)}
        90:{2,4,5,7}:{(55,1),(56,1),(58,1),(65,1),(129,1),(131,1),(132,1),(230,1),(428,1),(492,1),(530,1)}
        91:{3,5,6}:{(56,1),(66,1),(132,1),(306,1),(404,1),(429,1)}
        92:{4,6,7}:{(57,1),(58,1),(398,1),(530,1)}
        93:{2,4,5,7}:{(59,1),(67,1),(112,1),(122,1),(133,1),(135,1),(144,1),(232,1),(242,1)}
        94:{2,4,6}:{(59,1),(60,1),(113,1),(123,1),(135,1)}
        95:{2,3,6,7}:{(60,1),(61,1),(114,1),(124,1),(134,1),(136,1),(342,1),(416,1),(524,1),(525,1),(543,1)}
        96:{2,3,5,6}:{(60,1),(62,1),(69,1),(115,1),(125,1),(135,1),(136,1),(137,1),(139,1),(213,1),(234,1),(236,1),(318,1),(342,1),(416,1),(478,1),(481,1),(519,1),(525,1),(544,1),(546,1)}
        97:{2,5,7}:{(61,1),(62,1),(63,1),(138,1),(347,1)}
        98:{2,4,6}:{(62,1),(64,1),(70,1),(138,1),(139,1)}
        99:{1,4,7}:{(63,1),(64,1),(65,1),(138,1),(224,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(71,1),(130,1),(139,1),(140,1),(141,1),(225,1),(240,1),(335,1),(429,1)}
       101:{3,4,7}:{(65,1),(66,1),(132,1),(530,1)}
       102:{2,3,6}:{(67,1),(118,1),(133,1),(342,1),(416,1)}
       103:{2,3,5}:{(68,1),(119,1),(135,1),(144,1),(236,1),(318,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(139,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(318,1)}
       107:{2,4,7}:{(72,1),(75,1),(148,1),(150,1),(155,1)}
       108:{2,3,6}:{(72,1),(76,1),(150,1),(153,1),(246,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,4,5,7}:{(75,1),(79,1),(93,1),(149,1),(156,1),(158,1),(165,1),(259,1),(268,1)}
       113:{1,4,6}:{(75,1),(76,1),(94,1),(150,1),(158,1)}
       114:{1,3,6,7}:{(76,1),(77,1),(95,1),(151,1),(157,1),(159,1),(369,1),(454,1),(509,1)}
       115:{1,3,5,6}:{(76,1),(78,1),(81,1),(96,1),(152,1),(158,1),(159,1),(160,1),(162,1),(261,1),(263,1),(267,1),(369,1),(371,1),(454,1),(456,1),(509,1),(539,1)}
       116:{1,2,5,7}:{(77,1),(78,1),(97,1),(159,1),(161,1),(255,1),(285,1),(370,1),(374,1),(388,1),(453,1),(505,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(98,1),(160,1),(161,1),(162,1),(189,1),(256,1),(265,1),(295,1),(376,1),(386,1),(451,1),(499,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(156,1),(246,1),(454,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(158,1),(165,1),(248,1),(257,1),(371,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(461,1),(503,1)}
       122:{3,4,5,7}:{(83,1),(93,1),(168,1),(170,1),(192,1),(273,1),(276,1),(290,1),(296,1)}
       123:{3,4,6}:{(83,1),(84,1),(94,1),(170,1),(172,1)}
       124:{3,6,7}:{(84,1),(85,1),(171,1),(186,1)}
       125:{3,5,6}:{(84,1),(86,1),(170,1),(171,1),(172,1)}
       126:{2,5,7}:{(85,1),(86,1),(87,1),(171,1)}
       127:{2,4,5,6}:{(86,1),(88,1),(98,1),(172,1),(174,1),(175,1),(178,1),(183,1),(280,1),(289,1),(379,1),(458,1)}
       128:{1,5,6,7}:{(87,1),(89,1),(173,1),(176,1),(261,1),(462,1)}
       129:{1,4,5,7}:{(87,1),(88,1),(90,1),(99,1),(174,1),(176,1),(177,1),(285,1),(385,1),(462,1)}
       130:{1,3,5,6}:{(88,1),(91,1),(100,1),(175,1),(177,1),(178,1),(263,1),(369,1)}
       131:{2,4,6,7}:{(89,1),(90,1),(92,1),(176,1),(179,1),(284,1),(357,1)}
       132:{3,5,7}:{(90,1),(91,1),(101,1),(179,1),(464,1)}
       133:{2,4,6}:{(93,1),(102,1),(156,1),(168,1),(181,1)}
       134:{2,4,6,7}:{(94,1),(95,1),(157,1),(169,1),(182,1),(184,1),(289,1),(538,1)}
       135:{2,5}:{(94,1),(158,1),(170,1)}
       136:{2,3,5,7}:{(95,1),(96,1),(97,1),(159,1),(171,1),(182,1),(184,1),(186,1),(266,1),(290,1),(370,1),(505,1),(534,1),(548,1)}
       137:{2,4,6}:{(96,1),(104,1),(160,1),(172,1),(183,1),(184,1),(185,1),(508,1),(549,1)}
       138:{2,4,7}:{(97,1),(98,1),(99,1),(186,1)}
       139:{3,6}:{(98,1),(105,1),(186,1)}
       140:{1,3,4,7}:{(99,1),(100,1),(101,1),(177,1),(186,1),(188,1),(279,1),(294,1),(385,1),(464,1)}
       141:{2,4,6}:{(100,1),(106,1),(178,1),(187,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(180,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(181,1),(190,1),(191,1),(288,1),(363,1),(368,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(187,1),(193,1),(194,1),(461,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(371,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(396,1)}
       149:{2,4,5,7}:{(107,1),(109,1),(112,1),(195,1),(197,1),(199,1),(204,1),(301,1),(302,1),(309,1),(396,1)}
       150:{2,4,6}:{(107,1),(108,1),(113,1),(196,1),(199,1)}
       151:{2,3,6,7}:{(108,1),(114,1),(198,1),(200,1),(202,1),(298,1),(404,1),(416,1),(430,1),(493,1),(494,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(115,1),(199,1),(200,1),(201,1),(203,1),(213,1),(299,1),(304,1),(306,1),(310,1),(318,1),(338,1),(404,1),(416,1),(429,1),(433,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6}:{(112,1),(118,1),(133,1),(197,1),(207,1)}
       157:{1,4,6,7}:{(113,1),(114,1),(134,1),(198,1),(208,1),(210,1),(316,1),(527,1)}
       158:{1,5}:{(113,1),(135,1),(199,1)}
       159:{1,3,5,7}:{(114,1),(115,1),(116,1),(136,1),(200,1),(208,1),(210,1),(212,1),(321,1),(417,1)}
       160:{1,4,6}:{(115,1),(120,1),(137,1),(201,1),(209,1),(210,1),(487,1)}
       161:{1,2,4,7}:{(116,1),(117,1),(138,1),(210,1),(212,1),(241,1),(309,1),(319,1),(347,1),(421,1),(428,1),(483,1),(518,1)}
       162:{1,3,6}:{(117,1),(121,1),(139,1),(212,1),(213,1),(310,1),(429,1),(519,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(206,1),(214,1),(298,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(207,1),(214,1),(215,1),(299,1),(310,1),(410,1),(415,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(491,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(318,1),(348,1),(411,1),(412,1)}
       168:{3,4,6}:{(122,1),(133,1),(220,1),(329,1),(342,1)}
       169:{3,4,6,7}:{(123,1),(124,1),(134,1),(221,1),(224,1),(237,1),(329,1),(342,1),(543,1),(545,1),(551,1)}
       170:{3,5}:{(123,1),(135,1),(222,1)}
       171:{3,5,7}:{(124,1),(125,1),(126,1),(224,1)}
       172:{4,6}:{(125,1),(222,1),(224,1)}
       173:{2,5,6,7}:{(126,1),(128,1),(223,1),(226,1),(234,1),(426,1)}
       174:{2,4,5,7}:{(126,1),(127,1),(129,1),(138,1),(224,1),(226,1),(227,1),(230,1),(332,1),(334,1),(426,1)}
       175:{3,5,6}:{(127,1),(139,1),(225,1),(227,1),(236,1),(342,1)}
       176:{1,4,6,7}:{(128,1),(129,1),(131,1),(226,1),(229,1),(316,1),(339,1)}
       177:{1,3,5,7}:{(129,1),(130,1),(132,1),(140,1),(227,1),(229,1),(230,1)}
       178:{2,5,6}:{(130,1),(141,1),(230,1),(231,1),(318,1),(416,1)}
       179:{3,6,7}:{(131,1),(132,1),(404,1)}
       180:{2,4,6,7}:{(133,1),(142,1),(206,1),(219,1),(232,1),(242,1)}
       181:{2,5,6}:{(133,1),(135,1),(207,1),(220,1),(232,1)}
       182:{2,5,7}:{(134,1),(135,1),(208,1),(221,1),(234,1),(546,1)}
       183:{2,4,5}:{(135,1),(137,1),(209,1),(222,1),(236,1),(318,1),(546,1),(552,1)}
       184:{2,4,7}:{(136,1),(137,1),(210,1),(224,1),(237,1),(551,1)}
       185:{3,4,6}:{(137,1),(139,1),(145,1),(236,1),(237,1),(342,1),(519,1),(523,1)}
       186:{3,7}:{(138,1),(139,1)}
       187:{2,3,6}:{(139,1),(141,1),(146,1),(239,1),(240,1),(429,1)}
       188:{2,4,7}:{(140,1),(141,1),(230,1),(239,1),(241,1),(347,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(240,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(232,1),(242,1),(341,1),(409,1),(414,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(236,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(491,1)}
       194:{1,3,5}:{(146,1),(147,1),(240,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(149,1),(246,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(150,1),(246,1),(248,1),(350,1)}
       197:{2,4,6}:{(149,1),(153,1),(156,1),(246,1),(250,1),(350,1)}
       198:{2,4,6,7}:{(150,1),(151,1),(157,1),(247,1),(251,1),(253,1),(357,1),(515,1)}
       199:{2,5}:{(150,1),(158,1),(248,1)}
       200:{2,3,5,7}:{(151,1),(152,1),(159,1),(251,1),(253,1),(255,1),(266,1),(349,1),(358,1),(362,1),(370,1),(388,1),(464,1),(514,1)}
       201:{2,4,6}:{(152,1),(155,1),(160,1),(252,1),(253,1),(254,1),(350,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,4,6,7}:{(156,1),(163,1),(180,1),(249,1),(259,1),(268,1)}
       207:{1,5,6}:{(156,1),(158,1),(181,1),(250,1),(259,1)}
       208:{1,5,7}:{(157,1),(158,1),(182,1),(251,1),(261,1),(539,1)}
       209:{1,4,5}:{(158,1),(160,1),(183,1),(252,1),(263,1),(371,1),(539,1)}
       210:{1,4,7}:{(159,1),(160,1),(184,1),(253,1)}
       211:{1,3,4,6}:{(160,1),(162,1),(166,1),(185,1),(254,1),(263,1),(264,1),(265,1),(369,1)}
       212:{1,3,7}:{(161,1),(162,1),(186,1),(266,1),(362,1),(464,1),(534,1)}
       213:{2,3,6}:{(162,1),(167,1),(265,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(259,1),(268,1),(349,1),(362,1),(450,1),(453,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(350,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(263,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(371,1),(377,1)}
       219:{3,4,6,7}:{(168,1),(180,1),(273,1),(296,1),(378,1),(389,1)}
       220:{3,5,6}:{(168,1),(170,1),(181,1),(273,1),(274,1)}
       221:{3,5,7}:{(169,1),(170,1),(182,1),(275,1),(276,1),(550,1)}
       222:{4,5}:{(170,1),(172,1)}
       223:{3,5,6,7}:{(171,1),(173,1),(275,1),(278,1),(281,1),(383,1)}
       224:{4,7}:{(171,1),(172,1)}
       225:{3,4,6}:{(172,1),(175,1),(277,1),(279,1),(280,1)}
       226:{2,4,6,7}:{(173,1),(174,1),(176,1),(278,1),(281,1),(284,1),(289,1)}
       227:{3,5,7}:{(174,1),(175,1),(186,1),(279,1),(281,1)}
       228:{2,3,5,6}:{(175,1),(178,1),(187,1),(280,1),(282,1),(283,1),(291,1),(390,1),(458,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(179,1),(281,1),(284,1),(369,1)}
       230:{2,5,7}:{(177,1),(178,1),(188,1),(284,1),(285,1)}
       231:{1,5,6}:{(178,1),(189,1),(285,1),(371,1),(454,1)}
       232:{2,5,7}:{(180,1),(181,1),(259,1),(273,1)}
       233:{2,4,5,6}:{(181,1),(183,1),(191,1),(260,1),(274,1),(287,1),(288,1),(289,1),(368,1),(499,1),(535,1),(549,1)}
       234:{2,5,6}:{(182,1),(261,1),(275,1),(289,1)}
       235:{2,4,5,7}:{(182,1),(183,1),(184,1),(262,1),(276,1),(289,1),(290,1),(370,1)}
       236:{3,5}:{(183,1),(185,1)}
       237:{3,4,7}:{(184,1),(185,1),(186,1),(290,1),(534,1)}
       238:{2,3,4,6}:{(185,1),(187,1),(193,1),(265,1),(280,1),(291,1),(292,1),(293,1),(390,1),(449,1),(508,1),(538,1)}
       239:{2,3,7}:{(186,1),(187,1),(188,1),(294,1),(464,1)}
       240:{1,3,6}:{(187,1),(189,1),(194,1),(294,1),(295,1)}
       241:{1,4,7}:{(188,1),(189,1),(285,1),(294,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(288,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,6}:{(195,1),(197,1)}
       247:{3,4,6,7}:{(196,1),(198,1),(298,1),(300,1),(307,1),(396,1),(398,1),(404,1),(493,1),(529,1),(530,1)}
       248:{3,5}:{(196,1),(199,1),(301,1)}
       249:{2,4,6,7}:{(197,1),(202,1),(206,1),(298,1),(302,1),(309,1),(396,1)}
       250:{2,5,6}:{(197,1),(199,1),(207,1),(299,1),(302,1)}
       251:{2,5,7}:{(198,1),(199,1),(208,1),(300,1),(304,1),(531,1)}
       252:{2,4,5}:{(199,1),(201,1),(209,1),(301,1),(306,1),(318,1),(531,1),(547,1)}
       253:{2,4,7}:{(200,1),(201,1),(210,1),(307,1),(396,1),(530,1)}
       254:{3,4,6}:{(201,1),(205,1),(306,1),(307,1),(310,1),(404,1),(429,1),(491,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,7}:{(206,1),(207,1),(232,1),(302,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(215,1),(233,1),(303,1),(314,1),(315,1),(316,1),(415,1),(471,1),(520,1)}
       261:{1,5,6}:{(208,1),(234,1),(304,1),(316,1)}
       262:{1,4,5,7}:{(208,1),(209,1),(210,1),(235,1),(305,1),(316,1),(317,1),(417,1)}
       263:{1,3,5}:{(209,1),(211,1),(236,1),(306,1),(318,1)}
       264:{1,3,4,7}:{(210,1),(211,1),(212,1),(237,1),(307,1),(317,1),(319,1)}
       265:{2,4,6}:{(211,1),(213,1),(217,1),(318,1),(319,1),(320,1),(416,1)}
       266:{2,3,7}:{(212,1),(213,1),(319,1),(321,1),(347,1),(483,1)}
       267:{1,3,6}:{(213,1),(218,1),(320,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(396,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(315,1),(323,1),(324,1),(397,1),(410,1),(471,1),(519,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(318,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{3,5,7}:{(219,1),(220,1),(232,1),(328,1)}
       274:{4,5,6}:{(220,1),(222,1),(328,1),(329,1)}
       275:{3,5,6}:{(221,1),(234,1),(329,1),(342,1)}
       276:{4,5,7}:{(221,1),(222,1),(224,1),(329,1),(551,1),(552,1)}
       277:{3,4,5}:{(222,1),(225,1),(236,1),(331,1),(523,1)}
       278:{4,6,7}:{(223,1),(224,1),(329,1),(332,1)}
       279:{3,4,7}:{(224,1),(225,1),(227,1),(334,1)}
       280:{2,4,6}:{(225,1),(228,1),(331,1),(334,1),(335,1)}
       281:{3,6,7}:{(226,1),(227,1),(342,1)}
       282:{2,3,5,7}:{(227,1),(228,1),(230,1),(239,1),(334,1),(336,1),(337,1),(426,1)}
       283:{1,3,5,6}:{(228,1),(231,1),(240,1),(335,1),(337,1),(338,1),(344,1),(429,1),(431,1),(488,1),(528,1)}
       284:{2,6,7}:{(229,1),(230,1),(339,1),(416,1)}
       285:{1,5,7}:{(230,1),(231,1),(241,1),(339,1)}
       286:{2,5,6,7}:{(232,1),(234,1),(313,1),(327,1),(340,1),(542,1)}
       287:{2,4,5,7}:{(232,1),(233,1),(242,1),(314,1),(328,1),(340,1),(341,1),(414,1),(518,1),(542,1),(551,1)}
       288:{3,5,6}:{(233,1),(236,1),(243,1),(341,1),(342,1),(519,1)}
       289:{2,4,6}:{(234,1),(235,1),(316,1),(329,1),(342,1),(416,1)}
       290:{3,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5}:{(236,1),(238,1),(318,1),(331,1),(344,1),(546,1)}
       292:{2,3,4,7}:{(237,1),(238,1),(239,1),(319,1),(334,1),(343,1),(345,1),(482,1),(526,1)}
       293:{1,3,4,6}:{(238,1),(240,1),(244,1),(320,1),(335,1),(344,1),(345,1),(346,1),(420,1),(429,1),(431,1),(487,1),(491,1),(527,1),(529,1)}
       294:{1,3,7}:{(239,1),(240,1),(241,1),(347,1)}
       295:{2,6}:{(240,1),(245,1),(347,1)}
       296:{3,4,7}:{(242,1),(243,1),(341,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(249,1),(349,1),(362,1)}
       299:{3,5,6}:{(246,1),(248,1),(250,1),(349,1),(350,1)}
       300:{3,5,7}:{(247,1),(248,1),(251,1),(351,1),(352,1),(541,1)}
       301:{4,5}:{(248,1),(350,1)}
       302:{2,5,7}:{(249,1),(250,1),(259,1),(349,1)}
       303:{2,4,5,6}:{(250,1),(252,1),(256,1),(260,1),(350,1),(355,1),(356,1),(357,1),(368,1),(437,1),(438,1),(500,1)}
       304:{2,5,6}:{(251,1),(261,1),(351,1),(357,1)}
       305:{2,4,5,7}:{(251,1),(252,1),(253,1),(262,1),(352,1),(357,1),(358,1),(370,1)}
       306:{3,5}:{(252,1),(254,1)}
       307:{3,4,7}:{(253,1),(254,1),(358,1),(362,1),(464,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(265,1),(359,1),(360,1),(361,1),(363,1),(394,1),(437,1),(445,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(261,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(268,1),(287,1),(355,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(263,1),(269,1),(288,1),(356,1),(367,1),(368,1),(369,1)}
       316:{1,4,6}:{(261,1),(262,1),(289,1),(357,1),(369,1),(454,1)}
       317:{1,3,5,7}:{(262,1),(263,1),(264,1),(290,1),(358,1),(369,1),(370,1)}
       318:{2,5}:{(263,1),(265,1),(371,1)}
       319:{2,4,7}:{(264,1),(265,1),(266,1),(370,1),(372,1)}
       320:{1,4,6}:{(265,1),(267,1),(271,1),(371,1),(372,1),(454,1)}
       321:{1,3,7}:{(266,1),(267,1),(372,1),(374,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(374,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(367,1),(375,1),(436,1),(450,1),(498,1),(534,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(368,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(371,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(286,1),(378,1),(389,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{4,6}:{(275,1),(276,1)}
       330:{3,4,5,7}:{(276,1),(277,1),(279,1),(290,1),(380,1),(381,1),(383,1),(537,1),(550,1)}
       331:{2,4,5}:{(277,1),(280,1),(291,1),(382,1),(508,1)}
       332:{4,5,7}:{(278,1),(379,1),(383,1)}
       333:{3,4,6,7}:{(278,1),(279,1),(281,1),(380,1),(383,1),(384,1)}
       334:{2,4,7}:{(279,1),(280,1),(282,1),(385,1)}
       335:{1,4,6}:{(280,1),(283,1),(382,1),(385,1),(386,1),(540,1)}
       336:{2,3,6,7}:{(281,1),(282,1),(284,1),(384,1),(387,1),(390,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(385,1),(387,1),(388,1),(462,1),(464,1),(514,1)}
       338:{2,5,6}:{(283,1),(295,1),(386,1),(388,1),(392,1),(465,1)}
       339:{1,6,7}:{(284,1),(285,1),(454,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(289,1),(366,1),(378,1),(389,1),(452,1)}
       341:{3,5,7}:{(287,1),(288,1),(296,1),(389,1),(534,1)}
       342:{3,6}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(370,1),(381,1),(390,1),(391,1)}
       344:{1,3,5}:{(291,1),(293,1),(371,1),(382,1),(392,1),(461,1),(539,1),(541,1)}
       345:{1,3,4,7}:{(292,1),(293,1),(294,1),(372,1),(385,1),(391,1),(393,1),(457,1),(464,1),(510,1),(513,1)}
       346:{2,4,6}:{(293,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,7}:{(298,1),(299,1),(302,1),(396,1)}
       350:{4,6}:{(299,1),(301,1),(396,1)}
       351:{3,5,6}:{(300,1),(304,1),(398,1),(404,1)}
       352:{4,5,7}:{(300,1),(301,1),(396,1),(398,1),(530,1),(547,1)}
       353:{3,4,5}:{(301,1),(306,1),(397,1),(400,1),(491,1)}
       354:{2,5,6,7}:{(302,1),(304,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,5,7}:{(302,1),(303,1),(309,1),(314,1),(396,1),(401,1),(402,1),(414,1),(468,1),(470,1),(516,1)}
       356:{3,5,6}:{(303,1),(306,1),(310,1),(397,1),(402,1),(404,1)}
       357:{2,4,6}:{(304,1),(305,1),(316,1),(398,1),(404,1),(416,1)}
       358:{3,5,7}:{(305,1),(306,1),(307,1),(404,1)}
       359:{2,3,5}:{(306,1),(308,1),(318,1),(400,1),(406,1),(531,1)}
       360:{2,3,4,7}:{(307,1),(308,1),(319,1),(405,1),(407,1),(409,1),(434,1),(470,1),(495,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(320,1),(406,1),(407,1),(408,1),(410,1),(420,1),(471,1),(479,1),(487,1),(519,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(519,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(316,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(323,1),(341,1),(402,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(318,1),(324,1),(414,1),(415,1),(416,1)}
       369:{1,3,6}:{(316,1),(317,1),(342,1),(404,1),(416,1)}
       370:{2,5,7}:{(317,1),(318,1),(319,1),(416,1),(417,1)}
       371:{1,5}:{(318,1),(320,1)}
       372:{1,4,7}:{(319,1),(320,1),(321,1),(417,1)}
       373:{1,2,4,6}:{(320,1),(322,1),(326,1),(346,1),(408,1),(418,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       374:{1,2,7}:{(321,1),(322,1),(347,1),(483,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(414,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(415,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,6,7}:{(327,1),(328,1),(329,1),(551,1)}
       379:{4,5,6}:{(329,1),(332,1),(422,1),(552,1)}
       380:{3,4,6}:{(329,1),(330,1),(342,1),(422,1),(423,1)}
       381:{2,4,5,7}:{(330,1),(331,1),(334,1),(343,1),(423,1),(424,1),(426,1),(526,1),(546,1)}
       382:{1,4,5}:{(331,1),(335,1),(344,1),(425,1),(487,1),(547,1)}
       383:{3,5,7}:{(332,1),(333,1),(422,1),(426,1)}
       384:{2,4,6,7}:{(333,1),(334,1),(336,1),(423,1),(426,1),(427,1)}
       385:{1,4,7}:{(334,1),(335,1),(337,1),(428,1),(530,1)}
       386:{2,4,6}:{(335,1),(338,1),(425,1),(428,1),(429,1)}
       387:{1,3,6,7}:{(336,1),(337,1),(339,1),(427,1),(430,1),(431,1),(493,1)}
       388:{2,5,7}:{(337,1),(338,1),(347,1),(428,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(342,1)}
       390:{2,3,6}:{(342,1),(343,1),(416,1),(423,1),(431,1)}
       391:{1,3,5,7}:{(343,1),(344,1),(345,1),(417,1),(424,1),(431,1),(432,1),(490,1)}
       392:{2,5}:{(344,1),(346,1)}
       393:{2,4,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       394:{2,3,6}:{(346,1),(348,1),(420,1),(429,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(435,1),(442,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(356,1),(436,1),(437,1)}
       398:{4,6}:{(351,1),(352,1)}
       399:{3,4,5,7}:{(352,1),(353,1),(358,1),(436,1),(439,1),(440,1),(496,1),(513,1),(541,1)}
       400:{2,4,5}:{(353,1),(359,1),(437,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(357,1),(366,1),(435,1),(442,1),(452,1)}
       402:{3,5,7}:{(355,1),(356,1),(362,1),(436,1),(442,1)}
       403:{2,3,5,6}:{(356,1),(359,1),(363,1),(368,1),(437,1),(443,1),(444,1),(445,1),(500,1)}
       404:{3,6}:{(357,1),(358,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(360,1),(370,1),(440,1),(445,1),(446,1)}
       406:{1,3,5}:{(359,1),(361,1),(371,1),(441,1),(447,1),(503,1),(539,1),(550,1)}
       407:{1,3,4,7}:{(360,1),(361,1),(372,1),(446,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       408:{2,4,6}:{(361,1),(365,1),(447,1),(448,1),(449,1),(451,1),(506,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(534,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(369,1),(389,1),(442,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(375,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(371,1),(376,1),(453,1),(454,1)}
       416:{2,6}:{(369,1),(370,1),(454,1)}
       417:{1,5,7}:{(370,1),(371,1),(372,1),(454,1)}
       418:{1,2,5}:{(371,1),(373,1),(392,1),(447,1),(456,1),(539,1)}
       419:{1,2,4,7}:{(372,1),(373,1),(374,1),(393,1),(448,1),(455,1),(457,1),(510,1)}
       420:{1,3,6}:{(373,1),(377,1),(394,1),(449,1),(456,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(453,1)}
       422:{3,5,6}:{(379,1),(380,1),(383,1),(458,1),(550,1)}
       423:{2,4,6}:{(380,1),(381,1),(390,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(381,1),(382,1),(385,1),(391,1),(459,1),(460,1),(462,1),(510,1),(539,1)}
       425:{2,4,5}:{(382,1),(386,1),(392,1),(461,1),(467,1)}
       426:{2,5,7}:{(383,1),(384,1),(458,1),(462,1)}
       427:{1,4,6,7}:{(384,1),(385,1),(387,1),(459,1),(462,1),(463,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(464,1)}
       429:{3,6}:{(386,1),(461,1),(464,1)}
       430:{2,6,7}:{(387,1),(388,1),(465,1)}
       431:{1,3,6}:{(390,1),(391,1),(454,1),(459,1),(465,1),(512,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,5}:{(392,1),(394,1),(456,1),(461,1),(467,1)}
       434:{2,3,7}:{(393,1),(394,1),(457,1),(464,1)}
       435:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(402,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(403,1),(470,1),(471,1)}
       438:{4,5,6}:{(398,1),(468,1),(472,1),(547,1)}
       439:{3,4,6}:{(398,1),(399,1),(404,1),(472,1),(473,1)}
       440:{2,4,5,7}:{(399,1),(400,1),(405,1),(470,1),(473,1),(474,1),(495,1),(516,1),(531,1)}
       441:{1,4,5}:{(400,1),(406,1),(471,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(404,1)}
       443:{2,3,5,7}:{(402,1),(403,1),(409,1),(414,1),(470,1),(476,1),(477,1),(516,1)}
       444:{1,3,5,6}:{(403,1),(406,1),(410,1),(415,1),(471,1),(477,1),(478,1),(479,1),(519,1),(520,1),(544,1)}
       445:{2,3,6}:{(404,1),(405,1),(416,1),(473,1),(479,1)}
       446:{1,3,5,7}:{(405,1),(406,1),(407,1),(417,1),(474,1),(479,1),(480,1),(522,1)}
       447:{2,5}:{(406,1),(408,1)}
       448:{2,4,7}:{(407,1),(408,1),(480,1),(482,1),(483,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(481,1),(482,1),(519,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(416,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(421,1),(484,1)}
       454:{1,6}:{(416,1),(417,1)}
       455:{1,2,5,7}:{(417,1),(418,1),(419,1),(432,1),(480,1),(485,1),(486,1)}
       456:{1,3,5}:{(418,1),(420,1),(433,1),(481,1),(487,1)}
       457:{1,3,7}:{(419,1),(420,1),(434,1),(482,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(431,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(428,1),(432,1),(489,1),(490,1),(492,1),(495,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(429,1),(491,1)}
       462:{1,5,7}:{(426,1),(427,1),(488,1),(492,1)}
       463:{2,4,6,7}:{(427,1),(428,1),(430,1),(489,1),(492,1),(493,1),(530,1)}
       464:{3,7}:{(428,1),(429,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(490,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(433,1),(487,1),(491,1)}
       468:{4,5,7}:{(435,1),(438,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(439,1),(442,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(443,1),(498,1)}
       471:{1,4,6}:{(437,1),(441,1),(444,1),(498,1),(499,1),(549,1)}
       472:{3,5,6}:{(438,1),(439,1),(496,1),(500,1),(541,1)}
       473:{2,4,6}:{(439,1),(440,1),(445,1),(500,1),(501,1)}
       474:{1,4,5,7}:{(440,1),(441,1),(446,1),(498,1),(501,1),(502,1),(510,1),(532,1),(539,1)}
       475:{2,4,5}:{(441,1),(447,1),(499,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(445,1),(452,1),(497,1),(504,1)}
       477:{1,3,5,7}:{(443,1),(444,1),(450,1),(453,1),(498,1),(504,1),(505,1),(532,1),(534,1),(548,1)}
       478:{2,5,6}:{(444,1),(447,1),(451,1),(499,1),(505,1),(506,1)}
       479:{1,3,6}:{(445,1),(446,1),(454,1),(501,1),(506,1),(536,1)}
       480:{2,5,7}:{(446,1),(447,1),(448,1),(506,1)}
       481:{2,3,5}:{(447,1),(449,1),(456,1),(503,1),(508,1)}
       482:{2,3,7}:{(448,1),(449,1),(457,1),(534,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(465,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(466,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(462,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(465,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(464,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(467,1)}
       492:{2,5,7}:{(462,1),(463,1),(511,1),(514,1)}
       493:{3,6,7}:{(463,1),(464,1),(512,1),(514,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(512,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(513,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(472,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(473,1),(476,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(477,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(475,1),(478,1),(518,1),(519,1)}
       500:{2,5,6}:{(472,1),(473,1),(516,1),(520,1),(531,1)}
       501:{1,4,6}:{(473,1),(474,1),(479,1),(520,1),(521,1)}
       502:{2,4,5,7}:{(474,1),(475,1),(480,1),(518,1),(521,1),(522,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       503:{3,5}:{(475,1),(519,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(479,1),(484,1),(517,1),(524,1),(543,1)}
       505:{2,5,7}:{(477,1),(478,1),(483,1),(518,1),(524,1)}
       506:{2,6}:{(479,1),(480,1)}
       507:{2,3,5,7}:{(480,1),(481,1),(482,1),(486,1),(522,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(481,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(492,1),(528,1),(531,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(495,1),(529,1),(530,1)}
       514:{3,5,7}:{(492,1),(493,1),(528,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(529,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(500,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(501,1),(504,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(505,1),(534,1)}
       519:{3,6}:{(499,1),(503,1),(534,1)}
       520:{1,5,6}:{(500,1),(501,1),(532,1),(535,1),(539,1)}
       521:{2,4,6}:{(501,1),(502,1),(506,1),(535,1),(536,1),(549,1)}
       522:{3,5,7}:{(502,1),(503,1),(534,1),(536,1),(537,1),(550,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(506,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(515,1),(540,1),(541,1)}
       530:{4,7}:{(514,1),(540,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(520,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(521,1),(524,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(520,1),(521,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{3,4,7}:{(522,1),(523,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(530,1),(547,1)}
       541:{3,5}:{(529,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 347 :   0:{2,3,4}:{(2,1),(3,1),(32,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(115,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(21,1),(51,1),(58,1)}
         4:{4,5,6}:{(11,1),(12,1),(129,1),(148,1)}
         5:{3,4,6}:{(1,1),(11,1),(13,1),(14,1)}
         6:{2,4,5}:{(1,1),(2,1),(13,1),(15,1),(64,1),(100,1)}
         7:{2,3,6}:{(2,1),(13,1),(16,1),(17,1)}
         8:{1,3,5}:{(2,1),(3,1),(15,1),(16,1),(18,1),(42,1)}
         9:{2,4}:{(3,1),(18,1),(19,1)}
        10:{1,2,4}:{(9,1),(20,1),(21,1),(48,1),(51,1)}
        11:{3,5,6}:{(4,1),(5,1),(22,1),(23,1),(115,1),(143,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(7,1),(22,1),(25,1),(26,1)}
        14:{3,4,7}:{(5,1),(23,1),(26,1)}
        15:{1,4,5}:{(6,1),(8,1),(25,1),(27,1),(51,1),(85,1)}
        16:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(56,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{2,5}:{(8,1),(9,1),(28,1)}
        19:{2,3}:{(9,1),(21,1)}
        20:{1,2,5}:{(10,1),(18,1),(33,1),(34,1),(65,1)}
        21:{1,3}:{(10,1),(19,1),(32,1)}
        22:{2,5,6}:{(11,1),(13,1),(36,1),(37,1),(100,1),(134,1)}
        23:{3,5,7}:{(11,1),(12,1),(14,1),(37,1),(38,1)}
        24:{4,6,7}:{(12,1),(38,1),(39,1),(148,1)}
        25:{1,4,6}:{(13,1),(15,1),(16,1),(36,1),(40,1),(41,1)}
        26:{2,4,7}:{(13,1),(14,1),(17,1),(37,1),(41,1)}
        27:{2,4,5}:{(15,1),(18,1),(40,1),(42,1),(45,1),(76,1),(107,1)}
        28:{2,6}:{(16,1),(18,1),(44,1)}
        29:{1,3,7}:{(16,1),(17,1),(41,1),(44,1),(74,1)}
        30:{2,3,5}:{(18,1),(19,1),(34,1),(42,1),(43,1),(45,1),(76,1)}
        31:{2,3,4}:{(19,1),(35,1),(45,1),(46,1)}
        32:{2,3}:{(21,1),(48,1)}
        33:{1,2,6}:{(20,1),(28,1),(49,1),(50,1),(84,1)}
        34:{1,3,5}:{(20,1),(21,1),(30,1),(47,1),(49,1),(51,1),(85,1)}
        35:{1,3,4}:{(21,1),(31,1),(48,1),(51,1),(52,1),(80,1)}
        36:{1,5,6}:{(22,1),(25,1),(53,1),(54,1),(85,1),(122,1)}
        37:{2,5,7}:{(22,1),(23,1),(26,1),(54,1),(55,1)}
        38:{3,6,7}:{(23,1),(24,1),(55,1),(143,1)}
        39:{5,6,7}:{(24,1),(152,1)}
        40:{2,4,6}:{(25,1),(27,1),(28,1),(53,1),(56,1),(57,1),(89,1)}
        41:{1,4,7}:{(25,1),(26,1),(29,1),(54,1),(57,1)}
        42:{3,5}:{(27,1),(56,1),(58,1)}
        43:{2,3,6}:{(28,1),(30,1),(49,1),(56,1),(59,1),(60,1)}
        44:{2,7}:{(28,1),(29,1)}
        45:{2,4}:{(30,1),(51,1),(58,1)}
        46:{2,3,5}:{(31,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(32,1),(34,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{2,4}:{(32,1),(35,1),(65,1)}
        49:{1,3,6}:{(33,1),(34,1),(43,1),(63,1),(66,1),(67,1)}
        50:{1,2,7}:{(33,1),(44,1),(67,1),(103,1)}
        51:{1,4}:{(34,1),(45,1),(64,1)}
        52:{1,3,5}:{(35,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,5,6}:{(36,1),(40,1),(70,1),(71,1),(76,1),(114,1)}
        54:{1,5,7}:{(36,1),(37,1),(41,1),(71,1),(72,1)}
        55:{2,6,7}:{(37,1),(38,1),(72,1),(134,1)}
        56:{3,6}:{(40,1),(42,1),(74,1)}
        57:{2,4,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(108,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,4,6}:{(43,1),(45,1),(66,1),(73,1),(76,1),(77,1),(114,1)}
        60:{2,3,7}:{(43,1),(44,1),(67,1),(74,1),(77,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(76,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(49,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,4,6}:{(49,1),(51,1),(59,1),(81,1),(85,1),(86,1),(122,1)}
        67:{1,3,7}:{(49,1),(50,1),(60,1),(82,1),(86,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(85,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{3,5,6}:{(53,1),(56,1),(89,1),(90,1),(92,1),(127,1),(146,1)}
        71:{2,5,7}:{(53,1),(54,1),(57,1),(90,1),(91,1)}
        72:{1,6,7}:{(54,1),(55,1),(91,1),(122,1)}
        73:{3,4,6}:{(56,1),(58,1),(59,1),(89,1),(92,1),(93,1),(127,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{3,4,5}:{(58,1),(61,1),(92,1),(94,1)}
        76:{2,5}:{(59,1),(85,1),(92,1)}
        77:{2,4,7}:{(59,1),(60,1),(86,1),(93,1),(96,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(95,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,4,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(101,1),(134,1)}
        82:{2,3,7}:{(63,1),(67,1),(101,1),(103,1),(132,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(100,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,5}:{(66,1),(76,1),(100,1)}
        86:{1,4,7}:{(66,1),(67,1),(77,1),(101,1),(105,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(104,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{4,6}:{(70,1),(107,1),(108,1)}
        90:{3,5,7}:{(70,1),(71,1),(74,1),(108,1),(109,1),(138,1)}
        91:{2,6,7}:{(71,1),(72,1),(109,1),(114,1)}
        92:{3,5}:{(73,1),(76,1),(107,1)}
        93:{3,4,7}:{(73,1),(74,1),(77,1),(108,1),(111,1)}
        94:{3,4,6}:{(75,1),(78,1),(110,1),(112,1)}
        95:{2,5,6}:{(76,1),(78,1),(104,1),(110,1),(113,1),(114,1)}
        96:{2,5,7}:{(76,1),(77,1),(105,1),(111,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(113,1)}
        98:{3,4,6}:{(80,1),(81,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,5}:{(81,1),(85,1),(115,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(116,1),(119,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(118,1),(120,1),(140,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(87,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,5,7}:{(85,1),(86,1),(96,1),(119,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(121,1)}
       107:{4,5}:{(89,1),(92,1)}
       108:{4,7}:{(89,1),(90,1)}
       109:{3,6,7}:{(90,1),(91,1),(125,1),(127,1)}
       110:{3,5,6}:{(92,1),(94,1),(95,1),(123,1),(126,1),(127,1)}
       111:{3,5,7}:{(92,1),(93,1),(96,1),(124,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(126,1)}
       113:{2,5,7}:{(95,1),(97,1),(121,1),(126,1),(128,1)}
       114:{2,6}:{(96,1),(122,1),(127,1)}
       115:{3,5}:{(98,1),(100,1),(129,1)}
       116:{3,4,7}:{(98,1),(101,1),(131,1),(132,1),(147,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,6}:{(100,1),(102,1),(104,1),(130,1),(133,1),(134,1)}
       119:{2,5,7}:{(100,1),(101,1),(105,1),(131,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1),(147,1)}
       121:{1,5,7}:{(104,1),(106,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(105,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(110,1),(136,1),(137,1)}
       124:{4,5,7}:{(107,1),(108,1),(111,1),(137,1),(138,1)}
       125:{4,6,7}:{(108,1),(109,1),(137,1),(138,1)}
       126:{3,5,7}:{(110,1),(112,1),(113,1),(136,1),(139,1)}
       127:{3,6}:{(111,1),(114,1),(137,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(115,1),(140,1)}
       130:{3,5,6}:{(115,1),(117,1),(118,1),(140,1),(142,1),(143,1),(152,1)}
       131:{3,5,7}:{(115,1),(116,1),(119,1),(141,1),(143,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,5,7}:{(118,1),(120,1),(121,1),(142,1),(144,1)}
       134:{2,6}:{(119,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(126,1),(145,1)}
       137:{4,6}:{(124,1),(127,1),(146,1)}
       138:{5,7}:{(125,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(145,1)}
       140:{4,6}:{(129,1),(130,1),(147,1)}
       141:{4,5,7}:{(129,1),(131,1),(147,1),(148,1),(153,1)}
       142:{3,5,7}:{(130,1),(132,1),(133,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(131,1),(134,1),(148,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(139,1),(150,1)}
       146:{5,6}:{(137,1),(138,1)}
       147:{4,7}:{(140,1),(142,1)}
       148:{4,6}:{(141,1),(143,1),(152,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(151,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(148,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 348 :   0:{3,4,5,7}:{(1,1),(2,1),(17,1),(62,1),(106,1),(173,1),(274,1),(372,1),(378,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(30,1),(38,1),(71,1),(130,1),(225,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(414,1),(420,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(71,1),(84,1),(130,1),(243,1),(331,1),(339,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(378,1),(386,1)}
         5:{1,4,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(61,1),(94,1),(104,1),(180,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(16,1)}
         7:{3,4,6,7}:{(2,1),(15,1),(17,1),(55,1),(106,1),(118,1)}
         8:{3,5,6}:{(2,1),(16,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(46,1),(56,1),(94,1),(104,1),(191,1),(298,1),(388,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(175,1),(192,1),(210,1),(219,1),(280,1),(287,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(9,1),(22,1),(23,1),(26,1),(37,1),(429,1)}
        12:{2,3,6}:{(4,1),(6,1),(23,1),(420,1),(428,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(26,1),(27,1),(65,1),(77,1),(91,1),(140,1),(143,1),(150,1),(152,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(27,1),(29,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(28,1),(30,1),(71,1)}
        16:{2,5,6}:{(6,1),(8,1),(29,1),(30,1),(225,1)}
        17:{3,5,7}:{(7,1),(8,1),(30,1),(33,1)}
        18:{4,5,6}:{(8,1),(33,1),(325,1),(414,1)}
        19:{2,4,7}:{(9,1),(22,1),(35,1),(36,1),(350,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(23,1),(36,1),(37,1),(70,1),(74,1),(86,1),(133,1),(144,1),(165,1),(170,1),(244,1),(270,1),(340,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(225,1),(330,1),(338,1)}
        22:{2,5,7}:{(11,1),(19,1),(41,1),(60,1)}
        23:{1,3,6}:{(11,1),(12,1),(14,1),(41,1),(47,1),(465,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(42,1),(44,1),(118,1),(206,1)}
        25:{2,3,5,6}:{(12,1),(16,1),(21,1),(43,1),(44,1),(45,1),(54,1),(117,1),(192,1)}
        26:{3,5,7}:{(13,1),(46,1),(47,1),(109,1),(128,1),(191,1)}
        27:{2,4,6}:{(13,1),(14,1),(41,1),(47,1),(49,1),(111,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(42,1),(48,1),(50,1),(104,1)}
        29:{1,5,6}:{(14,1),(16,1),(49,1),(50,1),(180,1)}
        30:{2,5,7}:{(15,1),(16,1),(17,1),(50,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(45,1),(51,1),(53,1),(54,1),(117,1),(278,1),(308,1),(377,1),(472,1),(519,1)}
        32:{3,5,6,7}:{(17,1),(52,1),(55,1),(118,1),(371,1),(475,1)}
        33:{4,5,7}:{(17,1),(18,1),(55,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(94,1),(119,1),(388,1),(390,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(191,1)}
        36:{2,4,6}:{(19,1),(20,1),(41,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(109,1),(128,1),(180,1),(387,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(22,1),(34,1),(63,1),(64,1),(87,1),(160,1),(429,1)}
        40:{2,3,5,7}:{(22,1),(26,1),(35,1),(63,1),(65,1),(66,1),(90,1),(140,1)}
        41:{2,6}:{(22,1),(23,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(28,1),(67,1),(69,1),(75,1),(258,1)}
        43:{1,3,5,6}:{(23,1),(25,1),(29,1),(37,1),(68,1),(69,1),(70,1),(76,1),(144,1),(159,1),(244,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(30,1),(69,1),(71,1),(83,1),(158,1),(243,1)}
        45:{2,4,6}:{(25,1),(38,1),(70,1),(71,1),(72,1)}
        46:{3,4,7}:{(26,1),(65,1),(74,1),(152,1),(170,1)}
        47:{3,6}:{(26,1),(27,1)}
        48:{2,4,6,7}:{(27,1),(28,1),(67,1),(75,1),(77,1),(143,1),(152,1)}
        49:{2,5,6}:{(27,1),(29,1),(76,1),(77,1),(140,1)}
        50:{1,5,7}:{(28,1),(29,1),(30,1),(77,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(70,1),(78,1),(80,1),(81,1),(159,1),(231,1),(254,1),(336,1),(437,1)}
        52:{2,5,6,7}:{(30,1),(32,1),(79,1),(82,1),(328,1),(441,1)}
        53:{2,4,5,7}:{(30,1),(31,1),(33,1),(71,1),(80,1),(82,1),(83,1),(158,1),(357,1),(441,1),(501,1)}
        54:{3,5,6}:{(31,1),(72,1),(83,1),(330,1),(358,1),(420,1)}
        55:{4,6,7}:{(32,1),(33,1),(414,1),(501,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(133,1),(161,1),(165,1),(340,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(65,1),(85,1),(88,1),(89,1),(241,1),(268,1),(339,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(144,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(70,1),(91,1),(150,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(330,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(56,1),(93,1),(94,1),(95,1),(123,1),(180,1)}
        64:{1,2,6}:{(39,1),(41,1),(95,1),(208,1),(465,1)}
        65:{2,4,7}:{(40,1),(46,1),(94,1),(99,1),(127,1)}
        66:{2,3,6}:{(40,1),(41,1),(47,1),(95,1),(99,1)}
        67:{2,6,7}:{(41,1),(42,1),(102,1)}
        68:{2,5,6}:{(41,1),(43,1),(60,1),(102,1),(103,1),(299,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(102,1),(104,1),(110,1),(191,1),(207,1),(298,1)}
        70:{1,4,6}:{(43,1),(45,1),(61,1),(103,1),(104,1),(111,1)}
        71:{2,4,7}:{(44,1),(45,1),(104,1),(106,1)}
        72:{3,4,6}:{(45,1),(54,1),(62,1),(106,1),(519,1)}
        73:{3,4,5,7}:{(46,1),(98,1),(107,1),(109,1),(195,1),(198,1),(218,1),(294,1),(320,1)}
        74:{3,4,6}:{(46,1),(47,1),(99,1),(109,1),(111,1)}
        75:{3,6,7}:{(47,1),(48,1),(110,1),(191,1)}
        76:{3,5,6}:{(47,1),(49,1),(109,1),(110,1),(111,1)}
        77:{2,5,7}:{(48,1),(49,1),(50,1),(110,1)}
        78:{2,4,5,6}:{(49,1),(51,1),(103,1),(111,1),(113,1),(114,1),(117,1),(188,1),(202,1),(293,1),(301,1),(397,1)}
        79:{1,5,6,7}:{(50,1),(52,1),(112,1),(115,1),(283,1),(401,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(104,1),(113,1),(115,1),(116,1),(207,1),(307,1),(401,1)}
        81:{1,3,5,6}:{(51,1),(54,1),(105,1),(114,1),(116,1),(117,1),(285,1),(385,1)}
        82:{2,4,6,7}:{(52,1),(53,1),(55,1),(115,1),(118,1),(206,1),(377,1)}
        83:{3,5,7}:{(53,1),(54,1),(106,1),(118,1),(403,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(94,1),(119,1),(121,1),(122,1),(173,1),(315,1),(388,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(180,1),(209,1),(387,1)}
        88:{2,3,5,7}:{(58,1),(98,1),(121,1),(125,1),(126,1),(294,1),(386,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(99,1),(122,1),(125,1),(126,1),(127,1),(190,1),(217,1),(287,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(103,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(105,1),(128,1),(129,1),(199,1),(214,1),(220,1),(285,1),(304,1),(400,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(225,1)}
        94:{1,4,7}:{(63,1),(65,1),(130,1),(133,1),(165,1)}
        95:{1,3,6}:{(63,1),(64,1),(66,1),(131,1),(133,1)}
        96:{1,2,6,7}:{(64,1),(67,1),(134,1),(136,1),(258,1),(259,1),(359,1),(428,1),(493,1),(494,1),(529,1)}
        97:{1,2,5,6}:{(64,1),(68,1),(87,1),(135,1),(136,1),(137,1),(159,1),(257,1),(260,1),(338,1),(342,1),(427,1),(428,1),(430,1),(488,1),(494,1)}
        98:{2,4,5,7}:{(65,1),(73,1),(88,1),(132,1),(138,1),(140,1),(169,1),(236,1),(268,1)}
        99:{2,4,6}:{(65,1),(66,1),(74,1),(133,1),(140,1)}
       100:{2,3,6,7}:{(66,1),(67,1),(75,1),(134,1),(139,1),(141,1),(345,1),(428,1),(529,1),(530,1),(544,1)}
       101:{2,3,5,6}:{(66,1),(68,1),(76,1),(90,1),(135,1),(140,1),(141,1),(142,1),(144,1),(235,1),(238,1),(240,1),(338,1),(345,1),(428,1),(488,1),(491,1),(524,1),(530,1),(545,1),(547,1)}
       102:{2,5,7}:{(67,1),(68,1),(69,1),(143,1),(350,1)}
       103:{2,4,6}:{(68,1),(70,1),(91,1),(143,1),(144,1)}
       104:{1,4,7}:{(69,1),(70,1),(71,1),(143,1),(152,1)}
       105:{1,3,4,6}:{(70,1),(72,1),(81,1),(92,1),(144,1),(145,1),(146,1),(153,1),(244,1),(254,1),(358,1)}
       106:{3,4,7}:{(71,1),(72,1),(83,1),(501,1)}
       107:{3,4,6}:{(73,1),(138,1),(148,1),(248,1),(345,1)}
       108:{3,4,6,7}:{(74,1),(75,1),(139,1),(149,1),(152,1),(241,1),(248,1),(345,1),(544,1),(546,1),(551,1)}
       109:{3,5}:{(74,1),(140,1),(150,1)}
       110:{3,5,7}:{(75,1),(76,1),(77,1),(152,1)}
       111:{4,6}:{(76,1),(150,1),(152,1)}
       112:{2,5,6,7}:{(77,1),(79,1),(151,1),(154,1),(238,1),(355,1)}
       113:{2,4,5,7}:{(77,1),(78,1),(80,1),(143,1),(152,1),(154,1),(155,1),(158,1),(251,1),(253,1),(355,1)}
       114:{3,5,6}:{(78,1),(144,1),(153,1),(155,1),(240,1),(345,1)}
       115:{1,4,6,7}:{(79,1),(80,1),(82,1),(154,1),(157,1),(258,1),(336,1)}
       116:{1,3,5,7}:{(80,1),(81,1),(83,1),(145,1),(155,1),(157,1),(158,1)}
       117:{2,5,6}:{(81,1),(146,1),(158,1),(159,1),(338,1),(428,1)}
       118:{3,6,7}:{(82,1),(83,1),(420,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(132,1),(160,1),(163,1),(164,1),(221,1),(429,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(133,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(340,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(231,1),(261,1),(266,1),(271,1),(338,1),(354,1),(366,1),(367,1),(430,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(138,1),(163,1),(345,1),(428,1)}
       126:{2,3,5}:{(89,1),(140,1),(164,1),(169,1),(240,1),(338,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(144,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(338,1)}
       130:{2,4,7}:{(93,1),(94,1),(173,1),(175,1),(210,1)}
       131:{2,3,6}:{(93,1),(95,1),(175,1),(208,1),(272,1)}
       132:{1,4,5,7}:{(94,1),(98,1),(121,1),(174,1),(178,1),(180,1),(213,1),(281,1),(315,1)}
       133:{1,4,6}:{(94,1),(95,1),(99,1),(175,1),(180,1)}
       134:{1,3,6,7}:{(95,1),(96,1),(100,1),(176,1),(179,1),(181,1),(385,1),(465,1),(516,1)}
       135:{1,3,5,6}:{(95,1),(97,1),(101,1),(123,1),(177,1),(180,1),(181,1),(182,1),(184,1),(283,1),(285,1),(289,1),(385,1),(387,1),(465,1),(467,1),(516,1),(542,1)}
       136:{1,2,5,7}:{(96,1),(97,1),(102,1),(181,1),(183,1),(207,1),(310,1),(311,1),(386,1),(390,1),(464,1),(512,1)}
       137:{1,2,4,6}:{(97,1),(103,1),(124,1),(182,1),(183,1),(184,1),(194,1),(287,1),(299,1),(308,1),(312,1),(409,1),(477,1),(506,1)}
       138:{2,4,6}:{(98,1),(107,1),(125,1),(178,1),(186,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(108,1),(179,1),(187,1),(189,1),(293,1),(541,1)}
       140:{2,5}:{(99,1),(109,1),(180,1)}
       141:{2,3,5,7}:{(100,1),(101,1),(102,1),(110,1),(181,1),(187,1),(189,1),(191,1),(288,1),(294,1),(386,1),(512,1),(537,1),(548,1)}
       142:{2,4,6}:{(101,1),(111,1),(127,1),(182,1),(188,1),(189,1),(190,1),(515,1),(549,1)}
       143:{2,4,7}:{(102,1),(103,1),(104,1),(191,1)}
       144:{3,6}:{(103,1),(128,1),(191,1)}
       145:{1,3,4,7}:{(104,1),(105,1),(106,1),(116,1),(191,1),(193,1),(201,1),(298,1),(307,1),(403,1)}
       146:{2,4,6}:{(105,1),(117,1),(129,1),(192,1),(193,1),(194,1),(299,1)}
       147:{3,4,6,7}:{(107,1),(185,1),(195,1),(300,1),(320,1),(391,1)}
       148:{3,5,6}:{(107,1),(109,1),(186,1),(195,1),(196,1)}
       149:{3,5,7}:{(108,1),(109,1),(187,1),(197,1),(198,1),(550,1)}
       150:{4,5}:{(109,1),(111,1)}
       151:{3,5,6,7}:{(110,1),(112,1),(197,1),(200,1),(203,1),(305,1)}
       152:{4,7}:{(110,1),(111,1)}
       153:{3,4,6}:{(111,1),(114,1),(199,1),(201,1),(202,1)}
       154:{2,4,6,7}:{(112,1),(113,1),(115,1),(200,1),(203,1),(206,1),(293,1)}
       155:{3,5,7}:{(113,1),(114,1),(191,1),(201,1),(203,1)}
       156:{2,3,5,6}:{(114,1),(117,1),(192,1),(202,1),(204,1),(205,1),(295,1),(392,1),(397,1)}
       157:{1,3,6,7}:{(115,1),(116,1),(118,1),(203,1),(206,1),(385,1)}
       158:{2,5,7}:{(116,1),(117,1),(193,1),(206,1),(207,1)}
       159:{1,5,6}:{(117,1),(194,1),(207,1),(387,1),(465,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(178,1),(208,1),(272,1),(465,1)}
       164:{1,3,5}:{(122,1),(126,1),(180,1),(209,1),(213,1),(274,1),(313,1),(387,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(400,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(185,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(186,1),(212,1),(216,1),(217,1),(292,1),(384,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(192,1),(219,1),(220,1),(400,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(387,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(412,1)}
       174:{2,4,5,7}:{(130,1),(132,1),(160,1),(221,1),(223,1),(225,1),(261,1),(325,1),(326,1),(360,1),(412,1)}
       175:{2,4,6}:{(130,1),(131,1),(133,1),(222,1),(225,1)}
       176:{2,3,6,7}:{(131,1),(134,1),(224,1),(226,1),(259,1),(322,1),(359,1),(420,1),(428,1),(442,1),(497,1)}
       177:{2,3,5,6}:{(131,1),(135,1),(162,1),(225,1),(226,1),(227,1),(235,1),(257,1),(260,1),(323,1),(328,1),(330,1),(338,1),(358,1),(361,1),(420,1),(428,1),(435,1),(497,1),(499,1),(533,1)}
       178:{1,4,6}:{(132,1),(138,1),(163,1),(223,1),(229,1)}
       179:{1,4,6,7}:{(133,1),(134,1),(139,1),(224,1),(230,1),(232,1),(336,1),(532,1)}
       180:{1,5}:{(133,1),(140,1),(225,1)}
       181:{1,3,5,7}:{(134,1),(135,1),(136,1),(141,1),(226,1),(230,1),(232,1),(234,1),(341,1),(429,1)}
       182:{1,4,6}:{(135,1),(142,1),(165,1),(227,1),(231,1),(232,1),(496,1)}
       183:{1,2,4,7}:{(136,1),(137,1),(143,1),(232,1),(234,1),(245,1),(339,1),(350,1),(357,1),(360,1),(447,1),(502,1),(523,1)}
       184:{1,3,6}:{(137,1),(144,1),(166,1),(234,1),(235,1),(358,1),(361,1),(524,1)}
       185:{2,4,6,7}:{(138,1),(147,1),(167,1),(228,1),(236,1),(268,1)}
       186:{2,5,6}:{(138,1),(140,1),(148,1),(229,1),(236,1)}
       187:{2,5,7}:{(139,1),(140,1),(149,1),(230,1),(238,1),(547,1)}
       188:{2,4,5}:{(140,1),(142,1),(150,1),(231,1),(240,1),(338,1),(547,1),(552,1)}
       189:{2,4,7}:{(141,1),(142,1),(152,1),(232,1),(241,1),(551,1)}
       190:{3,4,6}:{(142,1),(144,1),(170,1),(240,1),(241,1),(345,1),(524,1),(528,1)}
       191:{3,7}:{(143,1),(144,1)}
       192:{2,3,6}:{(144,1),(146,1),(171,1),(243,1),(244,1),(358,1)}
       193:{2,4,7}:{(145,1),(146,1),(158,1),(243,1),(245,1),(350,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(244,1),(245,1)}
       195:{3,5,7}:{(147,1),(148,1),(236,1),(247,1)}
       196:{4,5,6}:{(148,1),(150,1),(247,1),(248,1)}
       197:{3,5,6}:{(149,1),(238,1),(248,1),(345,1)}
       198:{4,5,7}:{(149,1),(150,1),(152,1),(248,1),(551,1),(552,1)}
       199:{3,4,5}:{(150,1),(153,1),(240,1),(250,1),(528,1)}
       200:{4,6,7}:{(151,1),(152,1),(248,1),(251,1)}
       201:{3,4,7}:{(152,1),(153,1),(155,1),(253,1)}
       202:{2,4,6}:{(153,1),(156,1),(250,1),(253,1),(254,1)}
       203:{3,6,7}:{(154,1),(155,1),(345,1)}
       204:{2,3,5,7}:{(155,1),(156,1),(158,1),(243,1),(253,1),(255,1),(256,1),(355,1)}
       205:{1,3,5,6}:{(156,1),(159,1),(244,1),(254,1),(256,1),(257,1),(347,1),(358,1),(433,1),(437,1),(499,1)}
       206:{2,6,7}:{(157,1),(158,1),(258,1),(428,1)}
       207:{1,5,7}:{(158,1),(159,1),(245,1),(258,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(228,1),(259,1),(263,1),(322,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(229,1),(260,1),(263,1),(264,1),(323,1),(361,1),(427,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(440,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(338,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(236,1),(263,1),(268,1),(344,1),(426,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(240,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(440,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(244,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(174,1),(272,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(175,1),(272,1),(274,1),(370,1)}
       223:{2,4,6}:{(174,1),(178,1),(208,1),(272,1),(276,1),(370,1)}
       224:{2,4,6,7}:{(175,1),(176,1),(179,1),(273,1),(277,1),(279,1),(377,1),(518,1)}
       225:{2,5}:{(175,1),(180,1),(274,1)}
       226:{2,3,5,7}:{(176,1),(177,1),(181,1),(277,1),(279,1),(288,1),(310,1),(311,1),(369,1),(378,1),(386,1),(403,1),(404,1),(475,1)}
       227:{2,4,6}:{(177,1),(182,1),(210,1),(278,1),(279,1),(280,1),(370,1),(471,1),(519,1)}
       228:{1,4,6,7}:{(178,1),(185,1),(211,1),(275,1),(281,1),(315,1)}
       229:{1,5,6}:{(178,1),(180,1),(186,1),(276,1),(281,1)}
       230:{1,5,7}:{(179,1),(180,1),(187,1),(277,1),(283,1),(542,1)}
       231:{1,4,5}:{(180,1),(182,1),(188,1),(278,1),(285,1),(387,1),(542,1)}
       232:{1,4,7}:{(181,1),(182,1),(189,1),(279,1)}
       233:{1,3,4,6}:{(182,1),(184,1),(190,1),(214,1),(280,1),(285,1),(286,1),(287,1),(385,1)}
       234:{1,3,7}:{(183,1),(184,1),(191,1),(288,1),(403,1),(404,1),(537,1)}
       235:{2,3,6}:{(184,1),(215,1),(287,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,7}:{(185,1),(186,1),(195,1),(281,1)}
       237:{2,4,5,6}:{(186,1),(188,1),(196,1),(217,1),(282,1),(291,1),(292,1),(293,1),(384,1),(506,1),(538,1),(549,1)}
       238:{2,5,6}:{(187,1),(197,1),(283,1),(293,1)}
       239:{2,4,5,7}:{(187,1),(188,1),(189,1),(198,1),(284,1),(293,1),(294,1),(386,1)}
       240:{3,5}:{(188,1),(190,1)}
       241:{3,4,7}:{(189,1),(190,1),(191,1),(294,1),(537,1)}
       242:{2,3,4,6}:{(190,1),(192,1),(202,1),(219,1),(287,1),(295,1),(296,1),(297,1),(392,1),(462,1),(515,1),(541,1)}
       243:{2,3,7}:{(191,1),(192,1),(193,1),(298,1),(403,1)}
       244:{1,3,6}:{(192,1),(194,1),(220,1),(298,1),(299,1)}
       245:{1,4,7}:{(193,1),(194,1),(207,1),(298,1)}
       246:{3,5,6,7}:{(195,1),(197,1),(290,1),(300,1),(391,1),(548,1)}
       247:{4,5,7}:{(195,1),(196,1),(300,1)}
       248:{4,6}:{(197,1),(198,1)}
       249:{3,4,5,7}:{(198,1),(199,1),(201,1),(294,1),(302,1),(303,1),(305,1),(540,1),(550,1)}
       250:{2,4,5}:{(199,1),(202,1),(295,1),(304,1),(515,1)}
       251:{4,5,7}:{(200,1),(301,1),(305,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(203,1),(302,1),(305,1),(306,1)}
       253:{2,4,7}:{(201,1),(202,1),(204,1),(307,1)}
       254:{1,4,6}:{(202,1),(205,1),(304,1),(307,1),(308,1),(519,1)}
       255:{2,3,6,7}:{(203,1),(204,1),(206,1),(306,1),(309,1),(392,1)}
       256:{1,3,5,7}:{(204,1),(205,1),(207,1),(298,1),(307,1),(309,1),(310,1),(401,1),(403,1),(475,1)}
       257:{2,5,6}:{(205,1),(299,1),(308,1),(310,1),(394,1),(469,1)}
       258:{1,6,7}:{(206,1),(207,1),(465,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(281,1),(311,1),(315,1),(369,1),(404,1),(464,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(370,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(285,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(387,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(292,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,6}:{(221,1),(223,1)}
       273:{3,4,6,7}:{(222,1),(224,1),(322,1),(324,1),(331,1),(412,1),(414,1),(420,1),(442,1),(500,1),(501,1)}
       274:{3,5}:{(222,1),(225,1),(325,1)}
       275:{2,4,6,7}:{(223,1),(228,1),(259,1),(322,1),(326,1),(360,1),(412,1)}
       276:{2,5,6}:{(223,1),(225,1),(229,1),(323,1),(326,1)}
       277:{2,5,7}:{(224,1),(225,1),(230,1),(324,1),(328,1),(533,1)}
       278:{2,4,5}:{(225,1),(227,1),(231,1),(325,1),(330,1),(338,1),(533,1),(534,1)}
       279:{2,4,7}:{(226,1),(227,1),(232,1),(331,1),(412,1),(501,1)}
       280:{3,4,6}:{(227,1),(262,1),(330,1),(331,1),(358,1),(361,1),(420,1),(440,1)}
       281:{1,5,7}:{(228,1),(229,1),(236,1),(326,1)}
       282:{1,4,5,6}:{(229,1),(231,1),(237,1),(264,1),(327,1),(334,1),(335,1),(336,1),(427,1),(481,1),(525,1)}
       283:{1,5,6}:{(230,1),(238,1),(328,1),(336,1)}
       284:{1,4,5,7}:{(230,1),(231,1),(232,1),(239,1),(329,1),(336,1),(337,1),(429,1)}
       285:{1,3,5}:{(231,1),(233,1),(240,1),(330,1),(338,1)}
       286:{1,3,4,7}:{(232,1),(233,1),(234,1),(241,1),(331,1),(337,1),(339,1)}
       287:{2,4,6}:{(233,1),(235,1),(266,1),(338,1),(339,1),(340,1),(428,1)}
       288:{2,3,7}:{(234,1),(235,1),(339,1),(341,1),(350,1),(502,1)}
       289:{1,3,6}:{(235,1),(267,1),(340,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(238,1),(246,1),(333,1),(343,1),(543,1)}
       291:{2,4,5,7}:{(236,1),(237,1),(247,1),(268,1),(334,1),(343,1),(344,1),(426,1),(523,1),(543,1),(551,1)}
       292:{3,5,6}:{(237,1),(240,1),(269,1),(344,1),(345,1),(524,1)}
       293:{2,4,6}:{(238,1),(239,1),(248,1),(336,1),(345,1),(428,1)}
       294:{3,5,7}:{(239,1),(240,1),(241,1),(345,1)}
       295:{2,3,5}:{(240,1),(242,1),(250,1),(338,1),(347,1),(547,1)}
       296:{2,3,4,7}:{(241,1),(242,1),(243,1),(253,1),(339,1),(346,1),(348,1),(492,1),(531,1)}
       297:{1,3,4,6}:{(242,1),(244,1),(254,1),(270,1),(340,1),(347,1),(348,1),(349,1),(358,1),(432,1),(433,1),(440,1),(496,1),(500,1),(532,1)}
       298:{1,3,7}:{(243,1),(244,1),(245,1),(350,1)}
       299:{2,6}:{(244,1),(271,1),(350,1)}
       300:{4,6,7}:{(246,1),(247,1),(248,1),(551,1)}
       301:{4,5,6}:{(248,1),(251,1),(351,1),(552,1)}
       302:{3,4,6}:{(248,1),(249,1),(345,1),(351,1),(352,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(346,1),(352,1),(353,1),(355,1),(531,1),(547,1)}
       304:{1,4,5}:{(250,1),(254,1),(347,1),(354,1),(496,1),(534,1)}
       305:{3,5,7}:{(251,1),(252,1),(351,1),(355,1)}
       306:{2,4,6,7}:{(252,1),(253,1),(255,1),(352,1),(355,1),(356,1)}
       307:{1,4,7}:{(253,1),(254,1),(256,1),(357,1),(501,1)}
       308:{2,4,6}:{(254,1),(257,1),(354,1),(357,1),(358,1)}
       309:{1,3,6,7}:{(255,1),(256,1),(258,1),(356,1),(359,1),(433,1),(442,1)}
       310:{2,5,7}:{(256,1),(257,1),(350,1),(357,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(412,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(335,1),(361,1),(364,1),(365,1),(413,1),(444,1),(481,1),(524,1)}
       317:{2,4,5}:{(265,1),(266,1),(338,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(344,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,6,7}:{(272,1),(275,1),(369,1),(404,1)}
       323:{3,5,6}:{(272,1),(274,1),(276,1),(369,1),(370,1)}
       324:{3,5,7}:{(273,1),(274,1),(277,1),(371,1),(372,1),(520,1)}
       325:{4,5}:{(274,1),(370,1)}
       326:{2,5,7}:{(275,1),(276,1),(281,1),(369,1)}
       327:{2,4,5,6}:{(276,1),(278,1),(282,1),(312,1),(370,1),(375,1),(376,1),(377,1),(384,1),(450,1),(451,1),(507,1)}
       328:{2,5,6}:{(277,1),(283,1),(371,1),(377,1)}
       329:{2,4,5,7}:{(277,1),(278,1),(279,1),(284,1),(372,1),(377,1),(378,1),(386,1)}
       330:{3,5}:{(278,1),(280,1)}
       331:{3,4,7}:{(279,1),(280,1),(378,1),(403,1),(404,1)}
       332:{2,3,4,6}:{(280,1),(287,1),(314,1),(379,1),(380,1),(381,1),(396,1),(405,1),(450,1),(458,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(283,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,5,7}:{(281,1),(282,1),(291,1),(315,1),(375,1),(382,1),(383,1),(464,1),(505,1),(535,1)}
       335:{1,3,5,6}:{(282,1),(285,1),(292,1),(316,1),(376,1),(383,1),(384,1),(385,1)}
       336:{1,4,6}:{(283,1),(284,1),(293,1),(377,1),(385,1),(465,1)}
       337:{1,3,5,7}:{(284,1),(285,1),(286,1),(294,1),(378,1),(385,1),(386,1)}
       338:{2,5}:{(285,1),(287,1),(387,1)}
       339:{2,4,7}:{(286,1),(287,1),(288,1),(386,1),(388,1)}
       340:{1,4,6}:{(287,1),(289,1),(318,1),(387,1),(388,1),(465,1)}
       341:{1,3,7}:{(288,1),(289,1),(388,1),(390,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(390,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(293,1),(300,1),(382,1),(391,1),(463,1)}
       344:{3,5,7}:{(291,1),(292,1),(320,1),(391,1),(537,1)}
       345:{3,6}:{(293,1),(294,1)}
       346:{2,3,5,7}:{(294,1),(295,1),(296,1),(303,1),(386,1),(392,1),(393,1)}
       347:{1,3,5}:{(295,1),(297,1),(304,1),(387,1),(394,1),(400,1),(520,1),(542,1)}
       348:{1,3,4,7}:{(296,1),(297,1),(298,1),(307,1),(388,1),(393,1),(395,1),(403,1),(468,1),(474,1),(517,1)}
       349:{2,4,6}:{(297,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       350:{2,7}:{(298,1),(299,1)}
       351:{3,5,6}:{(301,1),(302,1),(305,1),(397,1),(550,1)}
       352:{2,4,6}:{(302,1),(303,1),(392,1),(397,1),(398,1)}
       353:{1,4,5,7}:{(303,1),(304,1),(307,1),(393,1),(398,1),(399,1),(401,1),(517,1),(542,1)}
       354:{2,4,5}:{(304,1),(308,1),(394,1),(400,1),(471,1)}
       355:{2,5,7}:{(305,1),(306,1),(397,1),(401,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(309,1),(398,1),(401,1),(402,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(403,1)}
       358:{3,6}:{(308,1),(400,1),(403,1)}
       359:{2,6,7}:{(309,1),(310,1),(469,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(383,1),(404,1),(408,1),(449,1),(476,1),(505,1),(537,1)}
       365:{2,4,6}:{(316,1),(317,1),(384,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(387,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,7}:{(322,1),(323,1),(326,1),(412,1)}
       370:{4,6}:{(323,1),(325,1),(412,1)}
       371:{3,5,6}:{(324,1),(328,1),(414,1),(420,1)}
       372:{4,5,7}:{(324,1),(325,1),(412,1),(414,1),(501,1),(534,1)}
       373:{3,4,5}:{(325,1),(330,1),(413,1),(416,1),(440,1)}
       374:{2,5,6,7}:{(326,1),(328,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,5,7}:{(326,1),(327,1),(334,1),(360,1),(412,1),(417,1),(418,1),(426,1),(478,1),(480,1),(521,1)}
       376:{3,5,6}:{(327,1),(330,1),(361,1),(413,1),(418,1),(420,1)}
       377:{2,4,6}:{(328,1),(329,1),(336,1),(414,1),(420,1),(428,1)}
       378:{3,5,7}:{(329,1),(330,1),(331,1),(420,1)}
       379:{2,3,5}:{(330,1),(332,1),(338,1),(416,1),(422,1),(533,1)}
       380:{2,3,4,7}:{(331,1),(332,1),(339,1),(421,1),(423,1),(436,1),(443,1),(480,1),(498,1)}
       381:{1,3,4,6}:{(332,1),(340,1),(363,1),(422,1),(423,1),(424,1),(432,1),(444,1),(481,1),(489,1),(496,1),(524,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(336,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,5,7}:{(334,1),(335,1),(344,1),(364,1),(418,1),(425,1),(426,1)}
       384:{2,5,6}:{(335,1),(338,1),(365,1),(426,1),(427,1),(428,1)}
       385:{1,3,6}:{(336,1),(337,1),(345,1),(420,1),(428,1)}
       386:{2,5,7}:{(337,1),(338,1),(339,1),(428,1),(429,1)}
       387:{1,5}:{(338,1),(340,1)}
       388:{1,4,7}:{(339,1),(340,1),(341,1),(429,1)}
       389:{1,2,4,6}:{(340,1),(342,1),(349,1),(367,1),(424,1),(430,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       390:{1,2,7}:{(341,1),(342,1),(350,1),(502,1)}
       391:{3,6,7}:{(343,1),(344,1),(345,1)}
       392:{2,3,6}:{(345,1),(346,1),(352,1),(428,1),(433,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(429,1),(433,1),(434,1),(439,1)}
       394:{2,5}:{(347,1),(349,1)}
       395:{2,4,7}:{(348,1),(349,1),(350,1),(434,1),(436,1)}
       396:{2,3,6}:{(349,1),(358,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,4,6}:{(352,1),(353,1),(433,1),(437,1),(438,1)}
       399:{2,4,5,7}:{(353,1),(354,1),(357,1),(434,1),(438,1),(439,1),(441,1),(498,1),(501,1),(533,1),(534,1)}
       400:{3,5}:{(354,1),(358,1),(440,1)}
       401:{1,5,7}:{(355,1),(356,1),(437,1),(441,1)}
       402:{2,4,6,7}:{(356,1),(357,1),(359,1),(438,1),(441,1),(442,1),(501,1)}
       403:{3,7}:{(357,1),(358,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(524,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(426,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(427,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(448,1),(455,1),(503,1)}
       412:{4,7}:{(369,1),(370,1)}
       413:{3,4,6}:{(370,1),(373,1),(376,1),(449,1),(450,1)}
       414:{4,6}:{(371,1),(372,1)}
       415:{3,4,5,7}:{(372,1),(373,1),(378,1),(449,1),(452,1),(453,1),(474,1),(503,1),(520,1)}
       416:{2,4,5}:{(373,1),(379,1),(450,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(377,1),(382,1),(448,1),(455,1),(463,1)}
       418:{3,5,7}:{(375,1),(376,1),(404,1),(449,1),(455,1)}
       419:{2,3,5,6}:{(376,1),(379,1),(384,1),(405,1),(450,1),(456,1),(457,1),(458,1),(507,1)}
       420:{3,6}:{(377,1),(378,1)}
       421:{2,3,5,7}:{(378,1),(379,1),(380,1),(386,1),(453,1),(458,1),(459,1)}
       422:{1,3,5}:{(379,1),(381,1),(387,1),(454,1),(460,1),(510,1),(542,1),(550,1)}
       423:{1,3,4,7}:{(380,1),(381,1),(388,1),(459,1),(461,1),(468,1),(476,1),(505,1),(517,1),(537,1),(540,1)}
       424:{2,4,6}:{(381,1),(407,1),(460,1),(461,1),(462,1),(477,1),(513,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(385,1),(391,1),(455,1),(463,1)}
       426:{2,5,7}:{(383,1),(384,1),(408,1),(463,1),(464,1)}
       427:{1,5,6}:{(384,1),(387,1),(409,1),(464,1),(465,1)}
       428:{2,6}:{(385,1),(386,1),(465,1)}
       429:{1,5,7}:{(386,1),(387,1),(388,1),(465,1)}
       430:{1,2,5}:{(387,1),(389,1),(394,1),(460,1),(467,1),(542,1)}
       431:{1,2,4,7}:{(388,1),(389,1),(390,1),(395,1),(461,1),(466,1),(468,1),(517,1)}
       432:{1,3,6}:{(389,1),(396,1),(410,1),(462,1),(467,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(398,1),(465,1),(469,1),(473,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,5}:{(394,1),(396,1),(400,1),(467,1),(471,1)}
       436:{2,3,7}:{(395,1),(396,1),(403,1),(468,1)}
       437:{1,5,6}:{(397,1),(398,1),(401,1),(472,1),(542,1)}
       438:{2,4,6}:{(398,1),(399,1),(469,1),(472,1),(473,1),(519,1)}
       439:{3,5,7}:{(399,1),(400,1),(403,1),(473,1),(474,1),(520,1)}
       440:{3,4}:{(400,1),(471,1)}
       441:{2,5,7}:{(401,1),(402,1),(472,1),(475,1)}
       442:{3,6,7}:{(402,1),(403,1),(473,1),(475,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(537,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(464,1),(476,1)}
       448:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       449:{3,4,7}:{(412,1),(413,1),(418,1),(480,1)}
       450:{2,4,6}:{(413,1),(416,1),(419,1),(480,1),(481,1)}
       451:{4,5,6}:{(414,1),(478,1),(482,1),(534,1)}
       452:{3,4,6}:{(414,1),(415,1),(420,1),(482,1),(483,1)}
       453:{2,4,5,7}:{(415,1),(416,1),(421,1),(480,1),(483,1),(484,1),(498,1),(521,1),(533,1)}
       454:{1,4,5}:{(416,1),(422,1),(481,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(420,1)}
       456:{2,3,5,7}:{(418,1),(419,1),(426,1),(443,1),(480,1),(486,1),(487,1),(521,1)}
       457:{1,3,5,6}:{(419,1),(422,1),(427,1),(444,1),(481,1),(487,1),(488,1),(489,1),(524,1),(525,1),(545,1)}
       458:{2,3,6}:{(420,1),(421,1),(428,1),(483,1),(489,1)}
       459:{1,3,5,7}:{(421,1),(422,1),(423,1),(429,1),(484,1),(489,1),(490,1),(527,1)}
       460:{2,5}:{(422,1),(424,1)}
       461:{2,4,7}:{(423,1),(424,1),(490,1),(492,1),(502,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(491,1),(492,1),(524,1)}
       463:{2,6,7}:{(425,1),(426,1),(428,1),(493,1)}
       464:{1,5,7}:{(426,1),(427,1),(447,1),(493,1)}
       465:{1,6}:{(428,1),(429,1)}
       466:{1,2,5,7}:{(429,1),(430,1),(431,1),(434,1),(490,1),(494,1),(495,1)}
       467:{1,3,5}:{(430,1),(432,1),(435,1),(491,1),(496,1)}
       468:{1,3,7}:{(431,1),(432,1),(436,1),(492,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(439,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(435,1),(440,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(441,1),(499,1),(533,1)}
       473:{3,6}:{(438,1),(439,1)}
       474:{3,4,7}:{(439,1),(440,1),(498,1),(500,1),(501,1)}
       475:{3,5,7}:{(441,1),(442,1),(499,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(451,1),(503,1)}
       479:{3,4,6,7}:{(448,1),(449,1),(452,1),(455,1),(503,1),(504,1)}
       480:{2,4,7}:{(449,1),(450,1),(456,1),(505,1)}
       481:{1,4,6}:{(450,1),(454,1),(457,1),(505,1),(506,1),(549,1)}
       482:{3,5,6}:{(451,1),(452,1),(503,1),(507,1),(520,1)}
       483:{2,4,6}:{(452,1),(453,1),(458,1),(507,1),(508,1)}
       484:{1,4,5,7}:{(453,1),(454,1),(459,1),(505,1),(508,1),(509,1),(517,1),(535,1),(542,1)}
       485:{2,4,5}:{(454,1),(460,1),(506,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(458,1),(463,1),(504,1),(511,1)}
       487:{1,3,5,7}:{(456,1),(457,1),(464,1),(476,1),(505,1),(511,1),(512,1),(535,1),(537,1),(548,1)}
       488:{2,5,6}:{(457,1),(460,1),(477,1),(506,1),(512,1),(513,1)}
       489:{1,3,6}:{(458,1),(459,1),(465,1),(508,1),(513,1),(539,1)}
       490:{2,5,7}:{(459,1),(460,1),(461,1),(513,1)}
       491:{2,3,5}:{(460,1),(462,1),(467,1),(510,1),(515,1)}
       492:{2,3,7}:{(461,1),(462,1),(468,1),(537,1)}
       493:{1,6,7}:{(463,1),(464,1),(465,1)}
       494:{1,2,6}:{(465,1),(466,1),(469,1),(513,1),(516,1)}
       495:{1,3,5,7}:{(466,1),(467,1),(468,1),(470,1),(514,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(467,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(473,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(474,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(475,1),(519,1),(520,1)}
       500:{3,4,6}:{(473,1),(474,1),(518,1),(519,1),(520,1)}
       501:{4,7}:{(475,1),(519,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(482,1),(521,1)}
       504:{2,4,6,7}:{(479,1),(480,1),(483,1),(486,1),(521,1),(522,1)}
       505:{1,4,7}:{(480,1),(481,1),(487,1),(523,1),(551,1)}
       506:{2,4,6}:{(481,1),(485,1),(488,1),(523,1),(524,1)}
       507:{2,5,6}:{(482,1),(483,1),(521,1),(525,1),(533,1)}
       508:{1,4,6}:{(483,1),(484,1),(489,1),(525,1),(526,1)}
       509:{2,4,5,7}:{(484,1),(485,1),(490,1),(523,1),(526,1),(527,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       510:{3,5}:{(485,1),(524,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(489,1),(493,1),(522,1),(529,1),(544,1)}
       512:{2,5,7}:{(487,1),(488,1),(502,1),(523,1),(529,1)}
       513:{2,6}:{(489,1),(490,1)}
       514:{2,3,5,7}:{(490,1),(491,1),(492,1),(495,1),(527,1),(530,1),(531,1),(547,1)}
       515:{2,4}:{(491,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(500,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(501,1),(534,1)}
       520:{3,5}:{(500,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(507,1),(535,1)}
       522:{1,4,6,7}:{(504,1),(505,1),(508,1),(511,1),(535,1),(536,1)}
       523:{2,4,7}:{(505,1),(506,1),(512,1),(537,1)}
       524:{3,6}:{(506,1),(510,1),(537,1)}
       525:{1,5,6}:{(507,1),(508,1),(535,1),(538,1),(542,1)}
       526:{2,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1),(549,1)}
       527:{3,5,7}:{(509,1),(510,1),(537,1),(539,1),(540,1),(550,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(513,1)}
       530:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       531:{2,4,7}:{(514,1),(515,1),(517,1),(540,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(525,1),(543,1)}
       536:{2,4,6,7}:{(522,1),(523,1),(526,1),(529,1),(543,1),(544,1),(551,1)}
       537:{3,7}:{(523,1),(524,1)}
       538:{2,5,6}:{(525,1),(526,1),(543,1),(545,1),(547,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{3,4,7}:{(527,1),(528,1),(531,1),(546,1),(551,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(538,1),(548,1)}
       544:{3,6,7}:{(536,1),(537,1),(539,1),(548,1)}
       545:{3,5,6}:{(538,1),(539,1),(548,1),(549,1),(550,1)}
       546:{3,4,6}:{(539,1),(540,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(545,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 349 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(124,1)}
         1:{4,5,6}:{(6,1),(7,1),(135,1),(149,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(9,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(76,1),(111,1)}
         4:{2,3,4}:{(5,1),(11,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(12,1),(13,1)}
         6:{3,5,6}:{(1,1),(2,1),(14,1),(15,1),(124,1),(146,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{2,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1),(18,1)}
         9:{3,4,7}:{(2,1),(15,1),(18,1)}
        10:{1,4,5}:{(3,1),(13,1),(17,1),(19,1),(62,1),(96,1)}
        11:{1,3,4}:{(4,1),(13,1),(20,1),(42,1),(43,1),(62,1)}
        12:{2,3,6}:{(5,1),(8,1),(21,1),(22,1)}
        13:{1,3,5}:{(5,1),(10,1),(11,1),(21,1),(23,1),(30,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(111,1),(140,1)}
        15:{3,5,7}:{(6,1),(7,1),(9,1),(25,1),(26,1)}
        16:{4,6,7}:{(7,1),(26,1),(27,1),(149,1)}
        17:{1,4,6}:{(8,1),(10,1),(21,1),(24,1),(28,1),(29,1)}
        18:{2,4,7}:{(8,1),(9,1),(22,1),(25,1),(29,1)}
        19:{2,4,5}:{(10,1),(23,1),(28,1),(30,1),(49,1),(80,1),(83,1)}
        20:{2,4}:{(11,1),(23,1),(32,1)}
        21:{1,3,6}:{(12,1),(13,1),(17,1),(34,1),(35,1),(40,1)}
        22:{2,3,7}:{(12,1),(18,1),(35,1)}
        23:{2,5}:{(13,1),(20,1),(34,1)}
        24:{1,5,6}:{(14,1),(17,1),(37,1),(38,1),(96,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1)}
        26:{3,6,7}:{(15,1),(16,1),(39,1),(146,1)}
        27:{5,6,7}:{(16,1),(152,1)}
        28:{2,4,6}:{(17,1),(19,1),(34,1),(37,1),(40,1),(41,1),(66,1)}
        29:{1,4,7}:{(17,1),(18,1),(35,1),(38,1),(41,1)}
        30:{3,5}:{(19,1),(40,1),(42,1)}
        31:{1,2,4}:{(20,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(20,1),(43,1)}
        33:{1,2,5}:{(23,1),(31,1),(45,1),(46,1),(89,1)}
        34:{2,6}:{(21,1),(23,1),(48,1)}
        35:{1,3,7}:{(21,1),(22,1),(29,1),(48,1),(54,1)}
        36:{2,3,5}:{(23,1),(30,1),(32,1),(46,1),(47,1),(49,1),(80,1)}
        37:{2,5,6}:{(24,1),(28,1),(50,1),(51,1),(80,1),(118,1)}
        38:{1,5,7}:{(24,1),(25,1),(29,1),(51,1),(52,1)}
        39:{2,6,7}:{(25,1),(26,1),(52,1),(140,1)}
        40:{3,6}:{(28,1),(30,1),(54,1)}
        41:{2,4,7}:{(28,1),(29,1),(48,1),(51,1),(54,1),(84,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(34,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(60,1),(62,1),(96,1)}
        47:{2,3,6}:{(34,1),(36,1),(40,1),(60,1),(63,1),(64,1)}
        48:{2,7}:{(34,1),(35,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{3,5,6}:{(37,1),(40,1),(66,1),(67,1),(69,1),(106,1),(134,1)}
        51:{2,5,7}:{(37,1),(38,1),(41,1),(67,1),(68,1)}
        52:{1,6,7}:{(38,1),(39,1),(68,1),(131,1)}
        53:{3,4,6}:{(40,1),(42,1),(63,1),(66,1),(69,1),(70,1),(106,1)}
        54:{3,7}:{(40,1),(41,1)}
        55:{3,4,5}:{(42,1),(65,1),(69,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(111,1)}
        60:{1,3,6}:{(45,1),(46,1),(47,1),(75,1),(77,1),(78,1)}
        61:{1,2,7}:{(45,1),(48,1),(78,1),(123,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,4,6}:{(47,1),(49,1),(53,1),(77,1),(80,1),(81,1),(118,1)}
        64:{2,3,7}:{(47,1),(48,1),(54,1),(78,1),(81,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(80,1),(82,1)}
        66:{4,6}:{(50,1),(83,1),(84,1)}
        67:{3,5,7}:{(50,1),(51,1),(54,1),(84,1),(85,1),(121,1)}
        68:{2,6,7}:{(51,1),(52,1),(85,1),(118,1)}
        69:{3,5}:{(53,1),(80,1),(83,1)}
        70:{3,4,7}:{(53,1),(54,1),(81,1),(84,1),(87,1)}
        71:{3,4,6}:{(55,1),(82,1),(86,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(60,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,4,6}:{(60,1),(62,1),(63,1),(93,1),(96,1),(97,1),(131,1)}
        78:{1,3,7}:{(60,1),(61,1),(64,1),(94,1),(97,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(96,1),(98,1)}
        80:{2,5}:{(63,1),(69,1),(96,1)}
        81:{2,4,7}:{(63,1),(64,1),(70,1),(97,1),(100,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(99,1),(101,1)}
        83:{4,5}:{(66,1),(69,1)}
        84:{4,7}:{(66,1),(67,1)}
        85:{3,6,7}:{(67,1),(68,1),(104,1),(106,1)}
        86:{3,5,6}:{(69,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        87:{3,5,7}:{(69,1),(70,1),(100,1),(103,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(105,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,4,6}:{(75,1),(76,1),(77,1),(109,1),(111,1),(112,1),(140,1)}
        94:{2,3,7}:{(75,1),(78,1),(112,1),(123,1),(138,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(111,1),(113,1),(135,1)}
        96:{1,5}:{(77,1),(80,1),(111,1)}
        97:{1,4,7}:{(77,1),(78,1),(81,1),(112,1),(115,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(114,1),(116,1)}
        99:{2,5,6}:{(80,1),(82,1),(86,1),(114,1),(117,1),(118,1)}
       100:{2,5,7}:{(80,1),(81,1),(87,1),(115,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(117,1)}
       102:{4,5,6}:{(83,1),(86,1),(119,1),(120,1)}
       103:{4,5,7}:{(83,1),(84,1),(87,1),(120,1),(121,1)}
       104:{4,6,7}:{(84,1),(85,1),(120,1),(121,1)}
       105:{3,5,7}:{(86,1),(88,1),(117,1),(119,1),(122,1)}
       106:{3,6}:{(87,1),(118,1),(120,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(93,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,5}:{(93,1),(96,1),(124,1)}
       112:{2,4,7}:{(93,1),(94,1),(97,1),(125,1),(128,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(127,1),(129,1),(143,1)}
       114:{1,5,6}:{(96,1),(98,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,5,7}:{(96,1),(97,1),(100,1),(128,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(130,1)}
       117:{2,5,7}:{(99,1),(101,1),(105,1),(130,1),(132,1)}
       118:{2,6}:{(100,1),(106,1),(131,1)}
       119:{4,5,7}:{(102,1),(105,1),(133,1)}
       120:{4,6}:{(103,1),(106,1),(134,1)}
       121:{5,7}:{(104,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(133,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,5}:{(109,1),(111,1),(135,1)}
       125:{3,4,7}:{(109,1),(112,1),(137,1),(138,1),(148,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,6}:{(111,1),(113,1),(114,1),(136,1),(139,1),(140,1)}
       128:{2,5,7}:{(111,1),(112,1),(115,1),(137,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(139,1),(148,1)}
       130:{1,5,7}:{(114,1),(116,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(115,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(122,1),(142,1)}
       134:{5,6}:{(120,1),(121,1)}
       135:{4,5}:{(124,1),(143,1)}
       136:{3,5,6}:{(124,1),(126,1),(127,1),(143,1),(145,1),(146,1),(152,1)}
       137:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(146,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,5,7}:{(127,1),(129,1),(130,1),(145,1),(147,1)}
       140:{2,6}:{(128,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(136,1),(148,1)}
       144:{4,5,7}:{(135,1),(137,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(136,1),(138,1),(139,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(137,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 350 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(127,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(108,1),(127,1)}
         4:{3,4,6}:{(1,1),(3,1),(10,1),(11,1)}
         5:{2,5,6}:{(1,1),(10,1),(12,1),(13,1),(115,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         7:{4,6,7}:{(2,1),(14,1),(15,1),(149,1)}
         8:{2,4,5}:{(3,1),(10,1),(16,1),(17,1),(91,1),(115,1)}
         9:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(8,1),(19,1),(20,1),(21,1)}
        11:{3,4,7}:{(4,1),(6,1),(21,1)}
        12:{1,5,6}:{(5,1),(20,1),(22,1),(23,1),(100,1),(132,1)}
        13:{2,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{3,6,7}:{(6,1),(7,1),(24,1),(146,1)}
        15:{5,6,7}:{(7,1),(152,1)}
        16:{2,3,5}:{(8,1),(9,1),(19,1),(25,1)}
        17:{1,4,5}:{(8,1),(20,1),(25,1),(26,1),(75,1),(100,1)}
        18:{1,3,4}:{(9,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(10,1),(16,1),(28,1),(29,1)}
        20:{1,4,6}:{(10,1),(12,1),(17,1),(28,1),(30,1),(31,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(29,1),(31,1)}
        22:{2,5,6}:{(12,1),(30,1),(32,1),(33,1),(84,1),(120,1)}
        23:{1,5,7}:{(12,1),(13,1),(31,1),(33,1),(34,1)}
        24:{2,6,7}:{(13,1),(14,1),(34,1),(140,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(28,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(30,1),(35,1),(36,1),(56,1),(60,1),(84,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{1,3,6}:{(19,1),(20,1),(25,1),(39,1),(40,1),(41,1)}
        29:{2,3,7}:{(19,1),(21,1),(40,1)}
        30:{2,4,6}:{(20,1),(22,1),(26,1),(39,1),(41,1),(42,1),(43,1)}
        31:{1,4,7}:{(20,1),(21,1),(23,1),(40,1),(42,1)}
        32:{3,5,6}:{(22,1),(41,1),(43,1),(44,1),(69,1),(105,1),(107,1)}
        33:{2,5,7}:{(22,1),(23,1),(42,1),(44,1),(45,1)}
        34:{1,6,7}:{(23,1),(24,1),(45,1),(132,1)}
        35:{2,5}:{(25,1),(27,1),(39,1)}
        36:{3,5}:{(26,1),(41,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{2,6}:{(28,1),(35,1),(53,1)}
        40:{1,3,7}:{(28,1),(29,1),(31,1),(53,1),(55,1)}
        41:{3,6}:{(30,1),(36,1),(55,1)}
        42:{2,4,7}:{(30,1),(31,1),(33,1),(53,1),(55,1),(57,1)}
        43:{4,6}:{(32,1),(56,1),(57,1)}
        44:{3,5,7}:{(32,1),(33,1),(55,1),(57,1),(58,1),(90,1)}
        45:{2,6,7}:{(33,1),(34,1),(58,1),(120,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(52,1),(59,1),(60,1),(84,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(39,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,3,6}:{(39,1),(41,1),(47,1),(65,1),(67,1),(68,1)}
        53:{2,7}:{(39,1),(40,1)}
        54:{3,4,6}:{(41,1),(43,1),(48,1),(67,1),(69,1),(70,1),(105,1)}
        55:{3,7}:{(41,1),(42,1)}
        56:{4,5}:{(43,1),(69,1)}
        57:{4,7}:{(43,1),(44,1)}
        58:{3,6,7}:{(44,1),(45,1),(73,1),(105,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(65,1),(74,1),(75,1),(100,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(69,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,3,6}:{(51,1),(52,1),(59,1),(81,1),(82,1),(83,1)}
        66:{1,2,7}:{(51,1),(53,1),(83,1),(126,1)}
        67:{2,4,6}:{(52,1),(54,1),(60,1),(82,1),(84,1),(85,1),(120,1)}
        68:{2,3,7}:{(52,1),(53,1),(55,1),(83,1),(85,1)}
        69:{3,5}:{(54,1),(56,1),(84,1)}
        70:{3,4,7}:{(54,1),(55,1),(57,1),(85,1),(87,1)}
        71:{4,5,6}:{(56,1),(86,1),(88,1),(89,1)}
        72:{4,5,7}:{(56,1),(57,1),(87,1),(89,1),(90,1)}
        73:{4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(115,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(84,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(86,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(65,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,4,6}:{(65,1),(67,1),(75,1),(98,1),(100,1),(101,1),(132,1)}
        83:{1,3,7}:{(65,1),(66,1),(68,1),(99,1),(101,1)}
        84:{2,5}:{(67,1),(69,1),(100,1)}
        85:{2,4,7}:{(67,1),(68,1),(70,1),(101,1),(103,1)}
        86:{3,5,6}:{(69,1),(71,1),(77,1),(102,1),(104,1),(105,1)}
        87:{3,5,7}:{(69,1),(70,1),(72,1),(103,1),(105,1)}
        88:{4,5,7}:{(71,1),(104,1),(106,1)}
        89:{4,6}:{(72,1),(105,1),(107,1)}
        90:{5,7}:{(73,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(100,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(102,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(104,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,4,6}:{(81,1),(82,1),(91,1),(114,1),(115,1),(116,1),(140,1)}
        99:{2,3,7}:{(81,1),(83,1),(116,1),(126,1),(142,1)}
       100:{1,5}:{(82,1),(84,1),(115,1)}
       101:{1,4,7}:{(82,1),(83,1),(85,1),(116,1),(118,1)}
       102:{2,5,6}:{(84,1),(86,1),(93,1),(117,1),(119,1),(120,1)}
       103:{2,5,7}:{(84,1),(85,1),(87,1),(118,1),(120,1)}
       104:{3,5,7}:{(86,1),(88,1),(94,1),(119,1),(121,1)}
       105:{3,6}:{(87,1),(89,1),(120,1)}
       106:{4,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       107:{5,6}:{(89,1),(90,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(115,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(117,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(119,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(98,1),(108,1),(127,1),(128,1),(134,1),(143,1),(146,1)}
       115:{2,5}:{(98,1),(100,1),(127,1)}
       116:{2,4,7}:{(98,1),(99,1),(101,1),(128,1),(130,1)}
       117:{1,5,6}:{(100,1),(102,1),(110,1),(129,1),(131,1),(132,1)}
       118:{1,5,7}:{(100,1),(101,1),(103,1),(130,1),(132,1)}
       119:{2,5,7}:{(102,1),(104,1),(111,1),(131,1),(133,1)}
       120:{2,6}:{(103,1),(105,1),(132,1)}
       121:{3,6,7}:{(104,1),(105,1),(106,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(129,1),(134,1),(135,1),(143,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(131,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,5}:{(114,1),(115,1),(136,1)}
       128:{3,4,7}:{(114,1),(116,1),(138,1),(142,1),(148,1)}
       129:{2,5,6}:{(115,1),(117,1),(124,1),(137,1),(139,1),(140,1)}
       130:{2,5,7}:{(115,1),(116,1),(118,1),(138,1),(140,1)}
       131:{1,5,7}:{(117,1),(119,1),(125,1),(139,1),(141,1)}
       132:{1,6}:{(118,1),(120,1),(140,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(139,1),(142,1),(148,1)}
       136:{4,5}:{(127,1),(143,1)}
       137:{3,5,6}:{(127,1),(129,1),(134,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       139:{2,5,7}:{(129,1),(131,1),(135,1),(145,1),(147,1)}
       140:{2,6}:{(130,1),(132,1),(146,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 351 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 352 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 353 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 354 :   0:{2,4,5,6}:{(1,1),(3,1),(4,1),(20,1),(24,1),(64,1),(121,1),(138,1),(213,1),(309,1),(323,1),(423,1)}
         1:{1,4,5,6}:{(0,1),(5,1),(7,1),(8,1),(38,1),(45,1),(83,1),(177,1),(182,1),(252,1),(279,1)}
         2:{2,5,6,7}:{(6,1),(9,1),(11,1),(104,1),(260,1),(381,1)}
         3:{2,4,5,7}:{(0,1),(7,1),(11,1),(12,1),(37,1),(42,1),(44,1),(104,1),(162,1),(260,1),(377,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(163,1),(263,1),(379,1)}
         5:{2,4,5,6}:{(1,1),(15,1),(16,1),(20,1),(52,1),(73,1),(112,1),(151,1),(200,1),(232,1),(246,1),(346,1)}
         6:{1,5,6,7}:{(2,1),(14,1),(18,1),(145,1),(207,1),(336,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(15,1),(18,1),(19,1),(61,1),(72,1),(120,1),(145,1),(207,1)}
         8:{1,3,5,6}:{(1,1),(4,1),(16,1),(17,1),(19,1),(20,1),(223,1),(334,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(25,1),(70,1),(318,1),(434,1)}
        10:{3,4,6}:{(4,1),(21,1),(23,1),(24,1),(423,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(18,1),(22,1),(25,1),(60,1),(323,1)}
        12:{3,5,7}:{(3,1),(4,1),(23,1),(25,1),(209,1)}
        13:{2,3,5,6}:{(4,1),(20,1),(24,1),(26,1),(27,1),(57,1),(63,1),(135,1),(138,1)}
        14:{2,5,6,7}:{(6,1),(28,1),(30,1),(160,1),(190,1),(302,1)}
        15:{2,4,5,7}:{(5,1),(7,1),(30,1),(31,1),(37,1),(80,1),(82,1),(106,1),(160,1),(190,1),(298,1)}
        16:{3,5,6}:{(5,1),(29,1),(31,1),(107,1),(193,1),(300,1)}
        17:{1,3,4,6}:{(8,1),(10,1),(29,1),(33,1),(34,1),(35,1),(45,1),(83,1),(90,1),(107,1),(163,1)}
        18:{1,4,6,7}:{(6,1),(7,1),(11,1),(30,1),(36,1),(93,1),(279,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(12,1),(31,1),(34,1),(36,1),(37,1)}
        20:{2,5,6}:{(8,1),(35,1),(37,1),(38,1),(275,1),(391,1)}
        21:{3,4,5}:{(10,1),(40,1),(263,1),(395,1),(471,1)}
        22:{4,6,7}:{(9,1),(42,1),(377,1),(479,1)}
        23:{3,4,7}:{(10,1),(12,1),(44,1),(377,1)}
        24:{2,4,6}:{(10,1),(13,1),(40,1),(44,1),(45,1)}
        25:{3,6,7}:{(11,1),(12,1),(379,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(37,1),(44,1),(46,1),(47,1),(89,1),(104,1)}
        27:{1,3,5,6}:{(13,1),(38,1),(45,1),(47,1),(48,1),(90,1),(97,1),(107,1),(179,1),(182,1),(288,1)}
        28:{3,5,6,7}:{(14,1),(50,1),(53,1),(118,1),(241,1),(357,1)}
        29:{3,4,6}:{(16,1),(49,1),(51,1),(52,1),(346,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(18,1),(50,1),(53,1),(60,1),(246,1)}
        31:{3,5,7}:{(15,1),(16,1),(51,1),(53,1),(147,1)}
        32:{2,3,5,6}:{(16,1),(20,1),(52,1),(54,1),(55,1),(57,1),(111,1),(197,1),(200,1)}
        33:{1,3,4,5}:{(17,1),(21,1),(49,1),(56,1),(67,1),(115,1),(126,1),(141,1),(203,1),(217,1),(223,1)}
        34:{1,3,4,7}:{(17,1),(19,1),(23,1),(51,1),(58,1),(72,1),(120,1),(128,1),(147,1),(209,1)}
        35:{2,4,6}:{(17,1),(20,1),(56,1),(57,1),(58,1),(59,1),(129,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(25,1),(53,1),(60,1),(334,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(60,1),(61,1)}
        38:{1,5,6}:{(20,1),(59,1),(61,1),(331,1),(442,1)}
        39:{3,4,5,7}:{(21,1),(23,1),(65,1),(66,1),(70,1),(320,1),(433,1),(445,1),(515,1)}
        40:{2,4,5}:{(21,1),(24,1),(63,1),(67,1),(339,1)}
        41:{2,3,4,6}:{(24,1),(57,1),(63,1),(68,1),(69,1),(125,1),(135,1),(210,1),(221,1),(236,1),(339,1),(447,1)}
        42:{4,5,7}:{(22,1),(64,1),(70,1)}
        43:{3,4,6,7}:{(22,1),(23,1),(25,1),(65,1),(70,1),(71,1)}
        44:{2,4,7}:{(23,1),(24,1),(26,1),(72,1)}
        45:{1,4,6}:{(24,1),(27,1),(67,1),(72,1),(73,1),(346,1)}
        46:{2,3,6,7}:{(25,1),(26,1),(60,1),(71,1),(74,1),(135,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(61,1),(72,1),(74,1),(75,1),(128,1),(145,1),(147,1),(241,1)}
        48:{2,5,6}:{(27,1),(73,1),(75,1),(129,1),(137,1),(229,1)}
        49:{3,4,5}:{(29,1),(78,1),(193,1),(405,1),(461,1)}
        50:{4,6,7}:{(28,1),(80,1),(298,1),(413,1)}
        51:{3,4,7}:{(29,1),(31,1),(82,1),(298,1)}
        52:{2,4,6}:{(29,1),(32,1),(78,1),(82,1),(83,1)}
        53:{3,6,7}:{(30,1),(31,1),(300,1)}
        54:{2,3,5,7}:{(31,1),(32,1),(37,1),(82,1),(84,1),(85,1),(89,1),(160,1)}
        55:{1,3,5,6}:{(32,1),(38,1),(83,1),(85,1),(86,1),(90,1),(153,1),(163,1),(249,1),(252,1),(367,1)}
        56:{2,4,5}:{(33,1),(35,1),(87,1),(88,1),(168,1),(270,1),(275,1)}
        57:{2,3,6}:{(35,1),(87,1),(89,1),(90,1),(107,1),(163,1)}
        58:{2,4,7}:{(34,1),(35,1),(37,1),(89,1),(91,1),(171,1)}
        59:{1,4,6}:{(35,1),(38,1),(88,1),(90,1),(91,1)}
        60:{2,6,7}:{(36,1),(37,1),(93,1),(391,1)}
        61:{1,5,7}:{(37,1),(38,1),(91,1),(93,1)}
        62:{1,2,5,6}:{(38,1),(48,1),(86,1),(92,1),(94,1),(95,1),(170,1),(178,1),(248,1),(275,1),(282,1),(361,1),(390,1),(391,1),(409,1),(475,1)}
        63:{2,3,5}:{(40,1),(41,1),(97,1),(263,1),(275,1),(489,1)}
        64:{4,5,6}:{(42,1),(98,1),(479,1),(533,1)}
        65:{3,4,6}:{(39,1),(98,1),(99,1),(379,1),(479,1)}
        66:{2,4,5,7}:{(39,1),(40,1),(44,1),(96,1),(99,1),(100,1),(104,1),(397,1),(489,1)}
        67:{1,4,5}:{(40,1),(45,1),(97,1),(101,1),(284,1),(405,1)}
        68:{2,3,4,7}:{(41,1),(44,1),(89,1),(96,1),(102,1),(262,1),(274,1),(292,1),(397,1)}
        69:{1,3,4,6}:{(41,1),(45,1),(90,1),(97,1),(102,1),(103,1),(107,1),(167,1),(179,1),(185,1),(187,1),(273,1),(284,1),(289,1),(399,1)}
        70:{3,5,7}:{(42,1),(43,1),(98,1),(104,1)}
        71:{2,4,6,7}:{(43,1),(44,1),(46,1),(99,1),(104,1),(105,1)}
        72:{1,4,7}:{(44,1),(45,1),(47,1),(106,1),(298,1)}
        73:{2,4,6}:{(45,1),(48,1),(101,1),(106,1),(107,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(93,1),(105,1),(108,1),(179,1),(191,1)}
        75:{2,5,7}:{(47,1),(48,1),(106,1),(108,1),(171,1)}
        76:{2,3,5,6}:{(48,1),(95,1),(107,1),(109,1),(110,1),(172,1),(181,1),(193,1),(275,1),(285,1),(288,1),(300,1),(302,1),(360,1),(391,1),(402,1),(462,1),(475,1),(523,1),(524,1),(546,1)}
        77:{3,4,5,7}:{(49,1),(51,1),(113,1),(114,1),(118,1),(243,1),(356,1),(497,1),(537,1)}
        78:{2,4,5}:{(49,1),(52,1),(111,1),(115,1),(416,1)}
        79:{2,3,4,6}:{(52,1),(57,1),(111,1),(116,1),(117,1),(125,1),(148,1),(197,1),(221,1),(313,1),(416,1),(499,1)}
        80:{4,5,7}:{(50,1),(112,1),(118,1)}
        81:{3,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(118,1),(119,1)}
        82:{2,4,7}:{(51,1),(52,1),(54,1),(120,1)}
        83:{1,4,6}:{(52,1),(55,1),(115,1),(120,1),(121,1),(423,1)}
        84:{2,3,6,7}:{(53,1),(54,1),(60,1),(119,1),(122,1),(197,1)}
        85:{1,3,5,7}:{(54,1),(55,1),(61,1),(120,1),(122,1),(123,1),(128,1),(207,1),(209,1),(318,1)}
        86:{2,5,6}:{(55,1),(121,1),(123,1),(129,1),(199,1),(306,1)}
        87:{2,3,5}:{(56,1),(57,1),(125,1),(126,1),(141,1),(203,1)}
        88:{1,4,5}:{(56,1),(59,1),(126,1),(327,1),(331,1)}
        89:{2,3,7}:{(57,1),(58,1),(128,1),(147,1),(209,1)}
        90:{1,3,6}:{(57,1),(59,1),(126,1),(128,1),(129,1)}
        91:{1,4,7}:{(58,1),(59,1),(61,1),(128,1)}
        92:{1,2,4,6}:{(59,1),(62,1),(73,1),(121,1),(127,1),(129,1),(130,1),(131,1),(134,1),(221,1),(440,1),(449,1),(501,1),(513,1)}
        93:{1,6,7}:{(60,1),(61,1),(442,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(75,1),(123,1),(130,1),(132,1),(133,1),(218,1),(332,1),(443,1),(458,1),(510,1)}
        95:{1,3,5,6}:{(62,1),(76,1),(124,1),(131,1),(133,1),(134,1),(219,1),(223,1),(228,1),(305,1),(331,1),(334,1),(336,1),(340,1),(417,1),(442,1),(450,1),(502,1)}
        96:{2,3,5,7}:{(63,1),(66,1),(68,1),(135,1),(136,1),(320,1),(332,1)}
        97:{1,3,5}:{(63,1),(67,1),(69,1),(137,1),(141,1),(331,1),(347,1),(450,1)}
        98:{3,5,6}:{(64,1),(65,1),(70,1),(138,1),(515,1)}
        99:{2,4,6}:{(65,1),(66,1),(135,1),(138,1),(139,1)}
       100:{1,4,5,7}:{(66,1),(67,1),(72,1),(136,1),(139,1),(140,1),(145,1),(341,1),(450,1)}
       101:{2,4,5}:{(67,1),(73,1),(137,1),(141,1),(231,1)}
       102:{1,3,4,7}:{(68,1),(69,1),(72,1),(128,1),(136,1),(143,1),(147,1),(234,1),(237,1),(330,1),(341,1)}
       103:{2,4,6}:{(69,1),(129,1),(137,1),(143,1),(144,1),(214,1),(229,1),(231,1)}
       104:{2,5,7}:{(70,1),(71,1),(138,1),(145,1)}
       105:{1,4,6,7}:{(71,1),(72,1),(74,1),(139,1),(145,1),(146,1)}
       106:{2,4,7}:{(72,1),(73,1),(75,1),(147,1)}
       107:{3,6}:{(73,1),(141,1),(147,1)}
       108:{2,6,7}:{(74,1),(75,1),(229,1)}
       109:{2,3,5,7}:{(75,1),(76,1),(133,1),(147,1),(149,1),(150,1),(220,1),(241,1),(243,1),(245,1),(332,1),(510,1),(539,1),(551,1)}
       110:{2,4,6}:{(76,1),(134,1),(148,1),(150,1),(151,1),(231,1),(346,1),(416,1),(550,1)}
       111:{2,3,5}:{(78,1),(79,1),(153,1),(193,1),(275,1),(524,1)}
       112:{4,5,6}:{(80,1),(154,1),(413,1),(545,1)}
       113:{3,4,6}:{(77,1),(154,1),(155,1),(300,1),(413,1)}
       114:{2,4,5,7}:{(77,1),(78,1),(82,1),(152,1),(155,1),(156,1),(160,1),(463,1),(524,1)}
       115:{1,4,5}:{(78,1),(83,1),(153,1),(157,1),(363,1),(471,1)}
       116:{2,3,4,7}:{(79,1),(82,1),(89,1),(152,1),(158,1),(192,1),(274,1),(371,1),(463,1)}
       117:{1,3,4,6}:{(79,1),(83,1),(90,1),(153,1),(158,1),(159,1),(163,1),(167,1),(249,1),(255,1),(257,1),(273,1),(363,1),(368,1),(465,1)}
       118:{3,5,7}:{(80,1),(81,1),(154,1),(160,1)}
       119:{2,4,6,7}:{(81,1),(82,1),(84,1),(155,1),(160,1),(161,1)}
       120:{1,4,7}:{(82,1),(83,1),(85,1),(162,1),(377,1)}
       121:{2,4,6}:{(83,1),(86,1),(157,1),(162,1),(163,1)}
       122:{1,3,6,7}:{(84,1),(85,1),(93,1),(161,1),(164,1),(249,1),(261,1)}
       123:{2,5,7}:{(85,1),(86,1),(162,1),(164,1),(171,1)}
       124:{2,3,5,6}:{(86,1),(95,1),(163,1),(165,1),(166,1),(172,1),(251,1),(263,1),(275,1),(281,1),(364,1),(367,1),(379,1),(381,1),(391,1),(396,1),(409,1),(468,1),(488,1),(489,1),(534,1)}
       125:{2,3,4}:{(87,1),(167,1),(185,1),(255,1),(270,1),(383,1)}
       126:{1,3,5}:{(87,1),(88,1),(90,1),(167,1),(168,1)}
       127:{1,2,4,5}:{(88,1),(92,1),(101,1),(157,1),(168,1),(169,1),(177,1),(178,1),(248,1),(267,1),(270,1),(275,1),(284,1),(363,1),(386,1),(398,1),(464,1),(481,1)}
       128:{1,3,7}:{(89,1),(90,1),(91,1),(171,1)}
       129:{2,6}:{(90,1),(168,1),(171,1)}
       130:{1,2,4,7}:{(91,1),(92,1),(94,1),(106,1),(162,1),(171,1),(173,1),(176,1),(274,1),(484,1),(491,1),(526,1),(532,1)}
       131:{1,3,6}:{(92,1),(107,1),(163,1),(169,1),(172,1),(173,1),(488,1),(523,1)}
       132:{1,2,6,7}:{(93,1),(94,1),(108,1),(164,1),(175,1),(282,1),(361,1),(391,1),(485,1),(496,1),(531,1)}
       133:{1,3,5,7}:{(94,1),(95,1),(109,1),(165,1),(173,1),(175,1),(176,1),(272,1),(278,1),(389,1)}
       134:{1,4,6}:{(95,1),(110,1),(166,1),(176,1),(177,1),(284,1),(363,1)}
       135:{2,3,6}:{(96,1),(99,1),(179,1),(379,1),(391,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(100,1),(102,1),(179,1),(180,1),(184,1),(389,1)}
       137:{2,5}:{(97,1),(103,1)}
       138:{2,5,6}:{(98,1),(99,1),(104,1),(182,1),(489,1)}
       139:{1,4,6}:{(99,1),(100,1),(179,1),(182,1),(183,1)}
       140:{2,4,5,7}:{(100,1),(101,1),(106,1),(180,1),(183,1),(184,1),(190,1),(286,1),(298,1),(402,1),(405,1)}
       141:{3,5}:{(101,1),(107,1),(185,1)}
       142:{1,2,4,6}:{(103,1),(170,1),(178,1),(186,1),(187,1),(267,1),(273,1),(282,1),(284,1),(293,1),(399,1)}
       143:{2,4,7}:{(102,1),(103,1),(171,1),(180,1),(188,1)}
       144:{2,3,6}:{(103,1),(107,1),(181,1),(187,1),(188,1),(268,1)}
       145:{1,5,7}:{(104,1),(105,1),(182,1),(190,1)}
       146:{2,4,6,7}:{(105,1),(106,1),(108,1),(183,1),(190,1),(191,1),(298,1)}
       147:{3,7}:{(106,1),(107,1)}
       148:{3,4,6}:{(107,1),(110,1),(185,1),(192,1),(193,1),(300,1),(461,1),(523,1)}
       149:{2,3,6,7}:{(108,1),(109,1),(175,1),(191,1),(194,1),(285,1),(300,1),(391,1),(462,1),(531,1),(547,1)}
       150:{2,4,7}:{(109,1),(110,1),(176,1),(192,1),(298,1),(552,1)}
       151:{2,4,5}:{(110,1),(177,1),(193,1),(275,1),(402,1),(405,1),(524,1),(545,1)}
       152:{2,3,5,7}:{(111,1),(114,1),(116,1),(197,1),(198,1),(243,1),(332,1)}
       153:{1,3,5}:{(111,1),(115,1),(117,1),(199,1),(203,1),(331,1),(424,1),(502,1)}
       154:{3,5,6}:{(112,1),(113,1),(118,1),(200,1),(537,1)}
       155:{2,4,6}:{(113,1),(114,1),(197,1),(200,1),(201,1)}
       156:{1,4,5,7}:{(114,1),(115,1),(120,1),(198,1),(201,1),(202,1),(207,1),(418,1),(502,1)}
       157:{2,4,5}:{(115,1),(121,1),(199,1),(203,1),(308,1)}
       158:{1,3,4,7}:{(116,1),(117,1),(120,1),(128,1),(198,1),(205,1),(209,1),(311,1),(314,1),(330,1),(418,1)}
       159:{2,4,6}:{(117,1),(129,1),(199,1),(205,1),(206,1),(214,1),(306,1),(308,1)}
       160:{2,5,7}:{(118,1),(119,1),(200,1),(207,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(122,1),(201,1),(207,1),(208,1)}
       162:{2,4,7}:{(120,1),(121,1),(123,1),(209,1)}
       163:{3,6}:{(121,1),(203,1),(209,1)}
       164:{2,6,7}:{(122,1),(123,1),(306,1)}
       165:{2,3,5,7}:{(123,1),(124,1),(133,1),(209,1),(211,1),(212,1),(220,1),(318,1),(320,1),(322,1),(332,1),(458,1),(517,1),(544,1)}
       166:{2,4,6}:{(124,1),(134,1),(210,1),(212,1),(213,1),(308,1),(339,1),(423,1),(543,1)}
       167:{1,3,4}:{(125,1),(126,1),(214,1),(325,1),(327,1)}
       168:{2,5}:{(126,1),(129,1),(214,1)}
       169:{1,3,5}:{(127,1),(131,1),(141,1),(203,1),(216,1),(217,1),(325,1),(446,1),(498,1)}
       170:{1,2,6}:{(129,1),(215,1),(218,1),(219,1),(513,1)}
       171:{2,7}:{(128,1),(129,1)}
       172:{2,3,6}:{(129,1),(131,1),(216,1),(219,1),(220,1),(221,1),(513,1)}
       173:{1,3,7}:{(130,1),(131,1),(147,1),(209,1),(220,1),(517,1),(539,1)}
       174:{1,3,4,6}:{(131,1),(134,1),(148,1),(210,1),(217,1),(221,1),(222,1),(223,1),(334,1)}
       175:{1,3,6,7}:{(132,1),(133,1),(149,1),(211,1),(224,1),(334,1),(340,1),(417,1),(442,1)}
       176:{1,4,7}:{(133,1),(134,1),(150,1),(212,1)}
       177:{1,4,5}:{(134,1),(151,1),(213,1),(223,1),(331,1),(450,1),(502,1)}
       178:{1,2,5}:{(137,1),(142,1),(228,1),(331,1),(351,1),(450,1)}
       179:{1,3,6}:{(135,1),(136,1),(139,1),(229,1),(233,1),(442,1)}
       180:{2,5,7}:{(136,1),(137,1),(143,1),(229,1)}
       181:{2,3,5}:{(137,1),(141,1),(144,1),(228,1),(231,1)}
       182:{1,5,6}:{(138,1),(139,1),(145,1),(232,1),(450,1)}
       183:{2,4,6}:{(139,1),(140,1),(229,1),(232,1),(233,1),(346,1)}
       184:{3,5,7}:{(140,1),(141,1),(147,1),(233,1),(234,1),(347,1)}
       185:{3,4}:{(141,1),(231,1)}
       186:{1,2,4,7}:{(142,1),(143,1),(218,1),(227,1),(237,1),(330,1),(341,1),(350,1)}
       187:{1,3,6}:{(142,1),(144,1),(228,1),(236,1),(237,1),(325,1)}
       188:{2,3,7}:{(143,1),(144,1),(147,1),(237,1)}
       189:{2,3,4,6}:{(144,1),(148,1),(221,1),(231,1),(238,1),(239,1),(240,1),(326,1),(343,1),(345,1),(354,1),(439,1)}
       190:{2,5,7}:{(145,1),(146,1),(232,1),(241,1)}
       191:{3,6,7}:{(146,1),(147,1),(233,1),(241,1)}
       192:{3,4,7}:{(147,1),(148,1),(150,1),(243,1),(539,1)}
       193:{3,5}:{(148,1),(151,1)}
       194:{2,4,6,7}:{(149,1),(150,1),(224,1),(242,1),(245,1),(246,1),(343,1),(499,1)}
       195:{2,4,5,7}:{(150,1),(151,1),(225,1),(243,1),(245,1),(246,1),(332,1),(356,1)}
       196:{2,4,5,6}:{(151,1),(226,1),(244,1),(246,1),(247,1),(333,1),(345,1),(453,1),(455,1),(501,1),(540,1),(550,1)}
       197:{2,3,6}:{(152,1),(155,1),(249,1),(300,1),(391,1)}
       198:{1,3,5,7}:{(152,1),(153,1),(156,1),(158,1),(249,1),(250,1),(254,1),(389,1)}
       199:{2,5}:{(153,1),(159,1)}
       200:{2,5,6}:{(154,1),(155,1),(160,1),(252,1),(524,1)}
       201:{1,4,6}:{(155,1),(156,1),(249,1),(252,1),(253,1)}
       202:{2,4,5,7}:{(156,1),(157,1),(162,1),(250,1),(253,1),(254,1),(260,1),(365,1),(377,1),(468,1),(471,1)}
       203:{3,5}:{(157,1),(163,1),(255,1)}
       204:{1,2,4,6}:{(159,1),(170,1),(248,1),(256,1),(257,1),(267,1),(273,1),(361,1),(363,1),(372,1),(465,1)}
       205:{2,4,7}:{(158,1),(159,1),(171,1),(250,1),(258,1)}
       206:{2,3,6}:{(159,1),(163,1),(251,1),(257,1),(258,1),(268,1)}
       207:{1,5,7}:{(160,1),(161,1),(252,1),(260,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(164,1),(253,1),(260,1),(261,1),(377,1)}
       209:{3,7}:{(162,1),(163,1)}
       210:{3,4,6}:{(163,1),(166,1),(255,1),(262,1),(263,1),(379,1),(395,1),(488,1)}
       211:{2,3,6,7}:{(164,1),(165,1),(175,1),(261,1),(264,1),(364,1),(379,1),(391,1),(396,1),(496,1),(535,1)}
       212:{2,4,7}:{(165,1),(166,1),(176,1),(262,1),(377,1),(549,1)}
       213:{2,4,5}:{(166,1),(177,1),(263,1),(275,1),(468,1),(471,1),(489,1),(533,1)}
       214:{2,4}:{(167,1),(168,1),(268,1)}
       215:{1,2,5}:{(168,1),(170,1),(267,1),(269,1),(481,1)}
       216:{2,3,5}:{(168,1),(169,1),(172,1),(268,1),(269,1),(270,1),(275,1),(383,1),(481,1)}
       217:{1,3,4}:{(169,1),(185,1),(255,1),(270,1),(284,1),(363,1),(395,1),(461,1)}
       218:{1,2,7}:{(170,1),(171,1),(272,1),(532,1)}
       219:{1,3,6}:{(170,1),(172,1),(269,1),(272,1),(273,1)}
       220:{2,3,7}:{(171,1),(172,1),(173,1),(272,1),(274,1),(532,1)}
       221:{2,4,6}:{(172,1),(174,1),(270,1),(273,1),(274,1),(275,1),(391,1)}
       222:{1,3,4,7}:{(173,1),(174,1),(176,1),(192,1),(262,1),(274,1),(276,1)}
       223:{1,3,5}:{(174,1),(177,1),(193,1),(263,1),(275,1)}
       224:{1,4,6,7}:{(175,1),(176,1),(194,1),(264,1),(278,1),(279,1),(399,1),(465,1)}
       225:{1,4,5,7}:{(176,1),(177,1),(195,1),(265,1),(276,1),(278,1),(279,1),(389,1)}
       226:{1,4,5,6}:{(177,1),(196,1),(266,1),(277,1),(279,1),(280,1),(390,1),(401,1),(467,1),(492,1),(527,1)}
       227:{1,2,5,7}:{(178,1),(180,1),(186,1),(282,1),(283,1),(389,1),(408,1)}
       228:{1,3,5}:{(178,1),(181,1),(187,1),(281,1),(284,1)}
       229:{2,6}:{(179,1),(180,1)}
       230:{2,3,5,7}:{(180,1),(181,1),(184,1),(188,1),(283,1),(285,1),(286,1),(402,1)}
       231:{2,4}:{(181,1),(185,1),(284,1)}
       232:{2,5,6}:{(182,1),(183,1),(190,1),(288,1),(402,1)}
       233:{3,6}:{(183,1),(184,1)}
       234:{3,4,7}:{(184,1),(185,1),(286,1),(289,1),(298,1)}
       235:{3,4,5}:{(185,1),(193,1),(287,1),(291,1),(545,1)}
       236:{2,3,6}:{(187,1),(281,1),(292,1),(293,1),(383,1),(488,1)}
       237:{1,3,7}:{(186,1),(187,1),(188,1),(292,1)}
       238:{1,3,4,6}:{(187,1),(189,1),(273,1),(284,1),(293,1),(294,1),(295,1),(384,1),(395,1),(399,1),(401,1),(410,1),(482,1),(486,1),(488,1)}
       239:{2,3,4,7}:{(188,1),(189,1),(192,1),(274,1),(286,1),(294,1),(296,1),(404,1),(483,1)}
       240:{2,3,5}:{(189,1),(193,1),(275,1),(287,1),(295,1),(402,1)}
       241:{3,5,7}:{(190,1),(191,1),(288,1),(298,1)}
       242:{3,4,6,7}:{(191,1),(192,1),(194,1),(289,1),(298,1),(299,1),(300,1),(413,1),(521,1),(547,1),(552,1)}
       243:{3,5,7}:{(192,1),(193,1),(195,1),(300,1)}
       244:{3,5,6}:{(193,1),(196,1),(291,1),(300,1),(301,1),(523,1)}
       245:{2,5,7}:{(194,1),(278,1),(299,1),(302,1),(402,1),(524,1)}
       246:{2,4,6}:{(195,1),(279,1),(300,1),(302,1),(391,1),(413,1)}
       247:{2,4,5,7}:{(196,1),(280,1),(301,1),(303,1),(392,1),(404,1),(494,1),(495,1),(526,1),(548,1),(552,1)}
       248:{1,2,5}:{(199,1),(204,1),(305,1),(331,1),(428,1),(502,1)}
       249:{1,3,6}:{(197,1),(198,1),(201,1),(306,1),(310,1),(442,1)}
       250:{2,5,7}:{(198,1),(199,1),(205,1),(306,1)}
       251:{2,3,5}:{(199,1),(203,1),(206,1),(305,1),(308,1)}
       252:{1,5,6}:{(200,1),(201,1),(207,1),(309,1),(502,1)}
       253:{2,4,6}:{(201,1),(202,1),(306,1),(309,1),(310,1),(423,1)}
       254:{3,5,7}:{(202,1),(203,1),(209,1),(310,1),(311,1),(424,1)}
       255:{3,4}:{(203,1),(308,1)}
       256:{1,2,4,7}:{(204,1),(205,1),(218,1),(304,1),(314,1),(330,1),(418,1),(427,1)}
       257:{1,3,6}:{(204,1),(206,1),(305,1),(313,1),(314,1),(325,1)}
       258:{2,3,7}:{(205,1),(206,1),(209,1),(314,1)}
       259:{2,3,4,6}:{(206,1),(210,1),(221,1),(308,1),(315,1),(316,1),(317,1),(326,1),(420,1),(422,1),(431,1),(439,1)}
       260:{2,5,7}:{(207,1),(208,1),(309,1),(318,1)}
       261:{3,6,7}:{(208,1),(209,1),(310,1),(318,1)}
       262:{3,4,7}:{(209,1),(210,1),(212,1),(320,1),(517,1)}
       263:{3,5}:{(210,1),(213,1)}
       264:{2,4,6,7}:{(211,1),(212,1),(224,1),(319,1),(322,1),(323,1),(420,1),(447,1)}
       265:{2,4,5,7}:{(212,1),(213,1),(225,1),(320,1),(322,1),(323,1),(332,1),(433,1)}
       266:{2,4,5,6}:{(213,1),(226,1),(321,1),(323,1),(324,1),(333,1),(422,1),(449,1),(505,1),(507,1),(518,1),(543,1)}
       267:{1,2,4}:{(214,1),(215,1),(325,1),(327,1),(437,1)}
       268:{2,3}:{(214,1),(325,1)}
       269:{1,3,5}:{(215,1),(216,1),(219,1),(325,1),(327,1),(331,1)}
       270:{2,4}:{(216,1),(217,1),(327,1)}
       271:{1,3,4,5}:{(217,1),(223,1),(235,1),(312,1),(328,1),(329,1),(342,1),(419,1),(438,1),(446,1),(498,1)}
       272:{1,3,7}:{(218,1),(219,1),(220,1),(330,1)}
       273:{1,4,6}:{(219,1),(221,1),(327,1),(330,1),(331,1),(442,1)}
       274:{2,4,7}:{(220,1),(221,1),(222,1),(330,1),(332,1)}
       275:{2,5}:{(221,1),(223,1),(331,1)}
       276:{1,3,5,7}:{(222,1),(223,1),(225,1),(243,1),(320,1),(332,1),(334,1)}
       277:{1,3,5,6}:{(223,1),(226,1),(244,1),(321,1),(329,1),(333,1),(334,1),(335,1)}
       278:{1,5,7}:{(224,1),(245,1),(322,1),(336,1),(450,1),(502,1)}
       279:{1,4,6}:{(225,1),(246,1),(323,1),(334,1),(336,1),(442,1)}
       280:{1,4,5,7}:{(226,1),(247,1),(324,1),(335,1),(337,1),(443,1),(452,1),(504,1),(520,1),(542,1)}
       281:{2,3,5}:{(228,1),(236,1),(339,1),(351,1),(446,1)}
       282:{1,2,6}:{(227,1),(229,1),(340,1),(442,1),(457,1)}
       283:{1,3,5,7}:{(227,1),(228,1),(230,1),(237,1),(338,1),(340,1),(341,1),(450,1)}
       284:{1,4}:{(228,1),(231,1),(339,1)}
       285:{2,3,6}:{(229,1),(230,1),(233,1),(340,1),(343,1)}
       286:{2,4,7}:{(230,1),(231,1),(234,1),(341,1),(343,1)}
       287:{2,4,5}:{(231,1),(235,1),(240,1),(342,1),(345,1)}
       288:{3,5,6}:{(232,1),(233,1),(241,1),(346,1),(347,1)}
       289:{3,4,6}:{(233,1),(234,1),(343,1),(346,1),(347,1)}
       290:{3,4,5,7}:{(234,1),(235,1),(243,1),(344,1),(347,1),(348,1),(349,1),(356,1),(456,1)}
       291:{3,4,6}:{(235,1),(244,1),(345,1),(349,1),(550,1)}
       292:{2,3,7}:{(236,1),(237,1),(350,1),(517,1)}
       293:{2,4,6}:{(236,1),(238,1),(339,1),(350,1),(351,1),(437,1),(457,1),(513,1)}
       294:{1,3,4,7}:{(237,1),(238,1),(239,1),(330,1),(341,1),(350,1),(352,1),(445,1),(452,1),(514,1),(517,1)}
       295:{1,3,5}:{(238,1),(240,1),(331,1),(342,1),(351,1),(446,1),(450,1),(515,1)}
       296:{2,3,5,7}:{(239,1),(240,1),(243,1),(332,1),(344,1),(352,1),(354,1)}
       297:{2,3,5,6}:{(240,1),(244,1),(333,1),(345,1),(353,1),(354,1),(355,1),(439,1),(453,1)}
       298:{4,7}:{(241,1),(346,1)}
       299:{3,5,7}:{(242,1),(245,1),(347,1),(356,1),(357,1),(537,1)}
       300:{3,6}:{(243,1),(246,1)}
       301:{3,5,7}:{(244,1),(247,1),(349,1),(358,1),(539,1)}
       302:{2,5,6}:{(245,1),(246,1),(336,1),(357,1)}
       303:{2,4,6,7}:{(246,1),(247,1),(337,1),(358,1),(359,1),(444,1),(460,1)}
       304:{1,2,5,7}:{(248,1),(250,1),(256,1),(361,1),(362,1),(389,1),(474,1)}
       305:{1,3,5}:{(248,1),(251,1),(257,1),(360,1),(363,1)}
       306:{2,6}:{(249,1),(250,1)}
       307:{2,3,5,7}:{(250,1),(251,1),(254,1),(258,1),(362,1),(364,1),(365,1),(468,1)}
       308:{2,4}:{(251,1),(255,1),(363,1)}
       309:{2,5,6}:{(252,1),(253,1),(260,1),(367,1),(468,1)}
       310:{3,6}:{(253,1),(254,1)}
       311:{3,4,7}:{(254,1),(255,1),(365,1),(368,1),(377,1)}
       312:{3,4,5}:{(255,1),(263,1),(366,1),(370,1),(533,1)}
       313:{2,3,6}:{(257,1),(360,1),(371,1),(372,1),(383,1),(523,1)}
       314:{1,3,7}:{(256,1),(257,1),(258,1),(371,1)}
       315:{1,3,4,6}:{(257,1),(259,1),(273,1),(363,1),(372,1),(373,1),(374,1),(384,1),(461,1),(465,1),(467,1),(476,1),(482,1),(521,1),(523,1)}
       316:{2,3,4,7}:{(258,1),(259,1),(262,1),(274,1),(365,1),(373,1),(375,1),(470,1),(483,1)}
       317:{2,3,5}:{(259,1),(263,1),(275,1),(366,1),(374,1),(468,1)}
       318:{3,5,7}:{(260,1),(261,1),(367,1),(377,1)}
       319:{3,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(377,1),(378,1),(379,1),(479,1),(486,1),(535,1),(549,1)}
       320:{3,5,7}:{(262,1),(263,1),(265,1),(379,1)}
       321:{3,5,6}:{(263,1),(266,1),(370,1),(379,1),(380,1),(488,1)}
       322:{2,5,7}:{(264,1),(278,1),(378,1),(381,1),(468,1),(489,1)}
       323:{2,4,6}:{(265,1),(279,1),(379,1),(381,1),(391,1),(479,1)}
       324:{2,4,5,7}:{(266,1),(280,1),(380,1),(382,1),(392,1),(470,1),(491,1),(529,1),(530,1),(536,1),(549,1)}
       325:{1,3}:{(267,1),(268,1),(383,1)}
       326:{2,3,4}:{(268,1),(270,1),(384,1),(385,1),(395,1),(461,1)}
       327:{1,4}:{(269,1),(270,1)}
       328:{2,4,5}:{(270,1),(271,1),(275,1),(385,1),(386,1),(387,1),(481,1)}
       329:{1,3,4,6}:{(271,1),(277,1),(291,1),(370,1),(387,1),(388,1),(401,1),(467,1),(482,1),(488,1),(523,1)}
       330:{1,4,7}:{(272,1),(273,1),(274,1),(389,1)}
       331:{1,5}:{(273,1),(275,1)}
       332:{2,5,7}:{(274,1),(275,1),(276,1),(389,1),(391,1)}
       333:{2,5,6}:{(275,1),(277,1),(387,1),(390,1),(391,1),(392,1)}
       334:{1,3,6}:{(276,1),(279,1),(300,1),(379,1),(391,1)}
       335:{1,3,5,7}:{(277,1),(280,1),(301,1),(380,1),(388,1),(392,1),(393,1)}
       336:{1,5,6}:{(278,1),(279,1),(302,1),(381,1)}
       337:{1,4,6,7}:{(279,1),(280,1),(303,1),(382,1),(393,1),(394,1),(485,1)}
       338:{2,3,5,7}:{(281,1),(283,1),(292,1),(396,1),(397,1),(408,1),(487,1),(489,1)}
       339:{2,4}:{(281,1),(284,1),(395,1)}
       340:{1,3,6}:{(282,1),(283,1),(285,1),(396,1),(399,1)}
       341:{1,4,7}:{(283,1),(284,1),(286,1),(397,1),(399,1)}
       342:{1,4,5}:{(284,1),(287,1),(295,1),(398,1),(401,1),(533,1)}
       343:{2,4,6}:{(285,1),(286,1),(289,1),(399,1),(402,1)}
       344:{2,4,5,7}:{(286,1),(287,1),(290,1),(296,1),(400,1),(402,1),(403,1),(404,1),(494,1)}
       345:{2,4,6}:{(287,1),(291,1),(297,1),(401,1),(404,1)}
       346:{4,6}:{(288,1),(298,1),(405,1)}
       347:{3,5}:{(289,1),(402,1),(405,1)}
       348:{3,4,6}:{(290,1),(300,1),(403,1),(406,1),(413,1)}
       349:{3,4,7}:{(291,1),(301,1),(404,1),(552,1)}
       350:{2,4,7}:{(292,1),(293,1),(294,1),(408,1),(532,1)}
       351:{2,5}:{(293,1),(295,1)}
       352:{1,3,5,7}:{(294,1),(295,1),(296,1),(389,1),(400,1),(408,1),(410,1),(487,1)}
       353:{1,3,5,6}:{(295,1),(297,1),(390,1),(401,1),(409,1),(410,1),(411,1),(482,1),(488,1),(492,1),(534,1)}
       354:{2,3,6}:{(296,1),(300,1),(391,1),(403,1),(410,1)}
       355:{2,3,5,7}:{(297,1),(301,1),(392,1),(404,1),(411,1),(412,1),(483,1),(494,1)}
       356:{4,5,7}:{(298,1),(299,1),(405,1),(413,1),(545,1),(552,1)}
       357:{3,5,6}:{(299,1),(300,1),(302,1),(413,1)}
       358:{3,6,7}:{(300,1),(301,1),(303,1)}
       359:{2,5,6,7}:{(302,1),(303,1),(394,1),(414,1),(494,1),(548,1)}
       360:{2,3,5}:{(305,1),(313,1),(416,1),(428,1),(498,1)}
       361:{1,2,6}:{(304,1),(306,1),(417,1),(442,1),(509,1)}
       362:{1,3,5,7}:{(304,1),(305,1),(307,1),(314,1),(415,1),(417,1),(418,1),(502,1)}
       363:{1,4}:{(305,1),(308,1),(416,1)}
       364:{2,3,6}:{(306,1),(307,1),(310,1),(417,1),(420,1)}
       365:{2,4,7}:{(307,1),(308,1),(311,1),(418,1),(420,1)}
       366:{2,4,5}:{(308,1),(312,1),(317,1),(419,1),(422,1)}
       367:{3,5,6}:{(309,1),(310,1),(318,1),(423,1),(424,1)}
       368:{3,4,6}:{(310,1),(311,1),(420,1),(423,1),(424,1)}
       369:{3,4,5,7}:{(311,1),(312,1),(320,1),(421,1),(424,1),(425,1),(426,1),(433,1),(508,1)}
       370:{3,4,6}:{(312,1),(321,1),(422,1),(426,1),(543,1)}
       371:{2,3,7}:{(313,1),(314,1),(427,1),(539,1)}
       372:{2,4,6}:{(313,1),(315,1),(416,1),(427,1),(428,1),(437,1),(509,1),(513,1)}
       373:{1,3,4,7}:{(314,1),(315,1),(316,1),(330,1),(418,1),(427,1),(429,1),(497,1),(504,1),(514,1),(539,1)}
       374:{1,3,5}:{(315,1),(317,1),(331,1),(419,1),(428,1),(498,1),(502,1),(537,1)}
       375:{2,3,5,7}:{(316,1),(317,1),(320,1),(332,1),(421,1),(429,1),(431,1)}
       376:{2,3,5,6}:{(317,1),(321,1),(333,1),(422,1),(430,1),(431,1),(432,1),(439,1),(505,1)}
       377:{4,7}:{(318,1),(423,1)}
       378:{3,5,7}:{(319,1),(322,1),(424,1),(433,1),(434,1),(515,1)}
       379:{3,6}:{(320,1),(323,1)}
       380:{3,5,7}:{(321,1),(324,1),(426,1),(435,1),(517,1)}
       381:{2,5,6}:{(322,1),(323,1),(336,1),(434,1)}
       382:{2,4,6,7}:{(323,1),(324,1),(337,1),(435,1),(436,1),(444,1),(512,1)}
       383:{2,3}:{(325,1),(437,1)}
       384:{1,3,4}:{(325,1),(326,1),(327,1),(437,1),(438,1)}
       385:{2,3,5}:{(326,1),(328,1),(438,1),(439,1),(446,1),(498,1)}
       386:{1,4,5}:{(327,1),(328,1),(331,1),(438,1),(440,1)}
       387:{2,4,6}:{(328,1),(329,1),(333,1),(439,1),(440,1),(441,1),(513,1)}
       388:{1,3,4,7}:{(329,1),(335,1),(349,1),(426,1),(441,1),(452,1),(504,1),(514,1),(517,1),(539,1)}
       389:{1,5,7}:{(330,1),(331,1),(332,1),(442,1)}
       390:{1,5,6}:{(331,1),(333,1),(440,1),(442,1),(443,1)}
       391:{2,6}:{(332,1),(334,1),(442,1)}
       392:{2,5,7}:{(333,1),(335,1),(441,1),(443,1),(444,1)}
       393:{1,3,6,7}:{(334,1),(335,1),(337,1),(358,1),(435,1),(444,1)}
       394:{1,5,6,7}:{(336,1),(337,1),(359,1),(436,1),(520,1),(542,1)}
       395:{3,4}:{(339,1),(446,1)}
       396:{2,3,6}:{(338,1),(340,1),(447,1),(457,1),(516,1)}
       397:{2,4,7}:{(338,1),(339,1),(341,1),(445,1),(447,1)}
       398:{2,4,5}:{(339,1),(342,1),(351,1),(446,1),(449,1)}
       399:{1,4,6}:{(340,1),(341,1),(343,1),(447,1),(450,1)}
       400:{1,4,5,7}:{(341,1),(342,1),(344,1),(352,1),(448,1),(450,1),(451,1),(452,1),(520,1)}
       401:{1,4,6}:{(342,1),(345,1),(353,1),(449,1),(452,1),(543,1)}
       402:{2,5}:{(343,1),(347,1),(450,1)}
       403:{2,4,6}:{(344,1),(348,1),(354,1),(451,1),(453,1)}
       404:{2,4,7}:{(345,1),(349,1),(355,1),(452,1)}
       405:{4,5}:{(346,1),(347,1)}
       406:{3,5,6}:{(347,1),(348,1),(453,1),(455,1),(456,1)}
       407:{3,4,6,7}:{(348,1),(349,1),(358,1),(454,1),(456,1),(460,1)}
       408:{2,5,7}:{(350,1),(351,1),(352,1),(457,1)}
       409:{2,5,6}:{(351,1),(353,1),(449,1),(457,1),(458,1),(513,1)}
       410:{1,3,6}:{(352,1),(354,1),(442,1),(451,1),(457,1),(516,1)}
       411:{1,3,5,7}:{(353,1),(355,1),(443,1),(452,1),(458,1),(459,1),(514,1),(517,1),(520,1),(544,1)}
       412:{2,3,6,7}:{(354,1),(355,1),(358,1),(444,1),(454,1),(459,1)}
       413:{4,6}:{(356,1),(357,1)}
       414:{3,5,6,7}:{(357,1),(358,1),(359,1),(456,1),(460,1),(551,1)}
       415:{2,3,5,7}:{(360,1),(362,1),(371,1),(462,1),(463,1),(474,1),(522,1),(524,1)}
       416:{2,4}:{(360,1),(363,1),(461,1)}
       417:{1,3,6}:{(361,1),(362,1),(364,1),(462,1),(465,1)}
       418:{1,4,7}:{(362,1),(363,1),(365,1),(463,1),(465,1)}
       419:{1,4,5}:{(363,1),(366,1),(374,1),(464,1),(467,1),(545,1)}
       420:{2,4,6}:{(364,1),(365,1),(368,1),(465,1),(468,1)}
       421:{2,4,5,7}:{(365,1),(366,1),(369,1),(375,1),(466,1),(468,1),(469,1),(470,1),(529,1)}
       422:{2,4,6}:{(366,1),(370,1),(376,1),(467,1),(470,1)}
       423:{4,6}:{(367,1),(377,1),(471,1)}
       424:{3,5}:{(368,1),(468,1),(471,1)}
       425:{3,4,6}:{(369,1),(379,1),(469,1),(472,1),(479,1)}
       426:{3,4,7}:{(370,1),(380,1),(470,1),(549,1)}
       427:{2,4,7}:{(371,1),(372,1),(373,1),(474,1),(532,1)}
       428:{2,5}:{(372,1),(374,1)}
       429:{1,3,5,7}:{(373,1),(374,1),(375,1),(389,1),(466,1),(474,1),(476,1),(522,1)}
       430:{1,3,5,6}:{(374,1),(376,1),(390,1),(467,1),(475,1),(476,1),(477,1),(482,1),(523,1),(527,1),(546,1)}
       431:{2,3,6}:{(375,1),(379,1),(391,1),(469,1),(476,1)}
       432:{2,3,5,7}:{(376,1),(380,1),(392,1),(470,1),(477,1),(478,1),(483,1),(529,1)}
       433:{4,5,7}:{(377,1),(378,1),(471,1),(479,1),(533,1),(549,1)}
       434:{3,5,6}:{(378,1),(379,1),(381,1),(479,1)}
       435:{3,6,7}:{(379,1),(380,1),(382,1)}
       436:{2,5,6,7}:{(381,1),(382,1),(394,1),(480,1),(529,1),(536,1)}
       437:{2,4}:{(383,1),(384,1),(481,1)}
       438:{1,3,5}:{(384,1),(385,1),(386,1),(481,1),(482,1)}
       439:{2,3,6}:{(385,1),(387,1),(482,1),(483,1),(488,1),(523,1)}
       440:{1,4,6}:{(386,1),(387,1),(390,1),(482,1),(484,1)}
       441:{2,4,7}:{(387,1),(388,1),(392,1),(483,1),(484,1),(532,1)}
       442:{1,6}:{(389,1),(391,1)}
       443:{1,5,7}:{(390,1),(392,1),(484,1),(485,1)}
       444:{2,6,7}:{(391,1),(392,1),(393,1),(485,1)}
       445:{3,4,7}:{(395,1),(397,1),(486,1),(487,1),(549,1)}
       446:{3,5}:{(395,1),(398,1),(488,1)}
       447:{2,4,6}:{(396,1),(397,1),(399,1),(486,1),(489,1)}
       448:{2,4,5,7}:{(397,1),(398,1),(400,1),(408,1),(487,1),(489,1),(490,1),(491,1),(533,1),(536,1),(549,1)}
       449:{2,4,6}:{(398,1),(401,1),(409,1),(488,1),(491,1)}
       450:{1,5}:{(399,1),(402,1),(489,1)}
       451:{1,4,6}:{(400,1),(403,1),(410,1),(490,1),(492,1)}
       452:{1,4,7}:{(401,1),(404,1),(411,1),(491,1),(549,1)}
       453:{2,5,6}:{(402,1),(403,1),(406,1),(492,1),(494,1)}
       454:{2,4,6,7}:{(403,1),(404,1),(407,1),(412,1),(493,1),(494,1)}
       455:{4,5,6}:{(405,1),(406,1),(413,1),(495,1)}
       456:{3,5,7}:{(406,1),(407,1),(494,1),(495,1)}
       457:{2,6}:{(408,1),(410,1)}
       458:{2,5,7}:{(409,1),(411,1),(491,1),(496,1),(532,1)}
       459:{1,3,6,7}:{(410,1),(411,1),(412,1),(485,1),(493,1),(496,1),(535,1)}
       460:{4,6,7}:{(413,1),(414,1),(495,1),(552,1)}
       461:{3,4}:{(416,1),(498,1)}
       462:{2,3,6}:{(415,1),(417,1),(499,1),(509,1),(538,1)}
       463:{2,4,7}:{(415,1),(416,1),(418,1),(497,1),(499,1)}
       464:{2,4,5}:{(416,1),(419,1),(428,1),(498,1),(501,1)}
       465:{1,4,6}:{(417,1),(418,1),(420,1),(499,1),(502,1)}
       466:{1,4,5,7}:{(418,1),(419,1),(421,1),(429,1),(500,1),(502,1),(503,1),(504,1),(542,1)}
       467:{1,4,6}:{(419,1),(422,1),(430,1),(501,1),(504,1),(550,1)}
       468:{2,5}:{(420,1),(424,1),(502,1)}
       469:{2,4,6}:{(421,1),(425,1),(431,1),(503,1),(505,1)}
       470:{2,4,7}:{(422,1),(426,1),(432,1),(504,1)}
       471:{4,5}:{(423,1),(424,1)}
       472:{3,5,6}:{(424,1),(425,1),(505,1),(507,1),(508,1)}
       473:{3,4,6,7}:{(425,1),(426,1),(435,1),(506,1),(508,1),(512,1)}
       474:{2,5,7}:{(427,1),(428,1),(429,1),(509,1)}
       475:{2,5,6}:{(428,1),(430,1),(501,1),(509,1),(510,1),(513,1)}
       476:{1,3,6}:{(429,1),(431,1),(442,1),(503,1),(509,1),(538,1)}
       477:{1,3,5,7}:{(430,1),(432,1),(443,1),(504,1),(510,1),(511,1),(514,1),(539,1),(542,1),(551,1)}
       478:{2,3,6,7}:{(431,1),(432,1),(435,1),(444,1),(506,1),(511,1)}
       479:{4,6}:{(433,1),(434,1)}
       480:{3,5,6,7}:{(434,1),(435,1),(436,1),(508,1),(512,1),(544,1)}
       481:{2,5}:{(437,1),(438,1),(513,1)}
       482:{1,3,6}:{(438,1),(439,1),(440,1),(513,1),(514,1)}
       483:{2,3,7}:{(439,1),(441,1),(514,1),(517,1),(539,1)}
       484:{1,4,7}:{(440,1),(441,1),(443,1),(514,1)}
       485:{1,6,7}:{(442,1),(443,1),(444,1)}
       486:{3,4,6}:{(445,1),(447,1),(515,1),(516,1),(543,1)}
       487:{3,5,7}:{(445,1),(446,1),(448,1),(515,1),(516,1),(517,1)}
       488:{3,6}:{(446,1),(449,1),(517,1)}
       489:{2,5}:{(447,1),(450,1),(515,1)}
       490:{2,4,6}:{(448,1),(451,1),(457,1),(516,1),(518,1),(543,1)}
       491:{2,4,7}:{(449,1),(452,1),(458,1),(517,1)}
       492:{1,5,6}:{(450,1),(451,1),(453,1),(518,1),(520,1)}
       493:{1,4,6,7}:{(451,1),(452,1),(454,1),(459,1),(519,1),(520,1)}
       494:{2,5,7}:{(453,1),(454,1),(456,1),(520,1)}
       495:{4,5,7}:{(455,1),(456,1),(460,1)}
       496:{2,6,7}:{(457,1),(458,1),(459,1)}
       497:{3,4,7}:{(461,1),(463,1),(521,1),(522,1),(552,1)}
       498:{3,5}:{(461,1),(464,1),(523,1)}
       499:{2,4,6}:{(462,1),(463,1),(465,1),(521,1),(524,1)}
       500:{2,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(522,1),(524,1),(525,1),(526,1),(545,1),(548,1),(552,1)}
       501:{2,4,6}:{(464,1),(467,1),(475,1),(523,1),(526,1)}
       502:{1,5}:{(465,1),(468,1),(524,1)}
       503:{1,4,6}:{(466,1),(469,1),(476,1),(525,1),(527,1)}
       504:{1,4,7}:{(467,1),(470,1),(477,1),(526,1),(552,1)}
       505:{2,5,6}:{(468,1),(469,1),(472,1),(527,1),(529,1)}
       506:{2,4,6,7}:{(469,1),(470,1),(473,1),(478,1),(528,1),(529,1)}
       507:{4,5,6}:{(471,1),(472,1),(479,1),(530,1)}
       508:{3,5,7}:{(472,1),(473,1),(529,1),(530,1)}
       509:{2,6}:{(474,1),(476,1)}
       510:{2,5,7}:{(475,1),(477,1),(526,1),(531,1),(532,1)}
       511:{1,3,6,7}:{(476,1),(477,1),(478,1),(485,1),(528,1),(531,1),(547,1)}
       512:{4,6,7}:{(479,1),(480,1),(530,1),(549,1)}
       513:{2,6}:{(481,1),(482,1),(532,1)}
       514:{1,3,7}:{(482,1),(483,1),(484,1),(532,1)}
       515:{3,5}:{(486,1),(489,1),(533,1)}
       516:{3,6}:{(487,1),(490,1)}
       517:{3,7}:{(488,1),(491,1)}
       518:{2,5,6}:{(489,1),(490,1),(492,1),(534,1),(536,1)}
       519:{2,4,6,7}:{(490,1),(491,1),(493,1),(496,1),(535,1),(536,1),(549,1)}
       520:{1,5,7}:{(492,1),(493,1),(494,1),(536,1)}
       521:{3,4,6}:{(497,1),(499,1),(537,1),(538,1),(550,1)}
       522:{3,5,7}:{(497,1),(498,1),(500,1),(537,1),(538,1),(539,1)}
       523:{3,6}:{(498,1),(501,1),(539,1)}
       524:{2,5}:{(499,1),(502,1),(537,1)}
       525:{2,4,6}:{(500,1),(503,1),(509,1),(538,1),(540,1),(550,1)}
       526:{2,4,7}:{(501,1),(504,1),(510,1),(539,1)}
       527:{1,5,6}:{(502,1),(503,1),(505,1),(540,1),(542,1)}
       528:{1,4,6,7}:{(503,1),(504,1),(506,1),(511,1),(541,1),(542,1)}
       529:{2,5,7}:{(505,1),(506,1),(508,1),(542,1)}
       530:{4,5,7}:{(507,1),(508,1),(512,1)}
       531:{2,6,7}:{(509,1),(510,1),(511,1)}
       532:{2,7}:{(513,1),(514,1)}
       533:{4,5}:{(515,1),(543,1)}
       534:{3,5,6}:{(515,1),(516,1),(518,1),(543,1),(544,1)}
       535:{3,6,7}:{(516,1),(517,1),(519,1),(544,1)}
       536:{2,5,7}:{(518,1),(519,1),(520,1),(544,1)}
       537:{3,5}:{(521,1),(524,1),(545,1)}
       538:{3,6}:{(522,1),(525,1)}
       539:{3,7}:{(523,1),(526,1)}
       540:{2,5,6}:{(524,1),(525,1),(527,1),(546,1),(548,1)}
       541:{2,4,6,7}:{(525,1),(526,1),(528,1),(531,1),(547,1),(548,1),(552,1)}
       542:{1,5,7}:{(527,1),(528,1),(529,1),(548,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5,7}:{(534,1),(535,1),(536,1),(549,1)}
       545:{4,5}:{(537,1),(550,1)}
       546:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{3,6,7}:{(538,1),(539,1),(541,1),(551,1)}
       548:{2,5,7}:{(540,1),(541,1),(542,1),(551,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 355 :   0:{2,5,6,7}:{(1,1),(2,1),(3,1),(55,1),(174,1),(280,1)}
         1:{1,5,6,7}:{(0,1),(5,1),(6,1),(83,1),(132,1),(240,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(10,1),(33,1),(220,1),(328,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(29,1),(335,1)}
         4:{2,4,5,6}:{(7,1),(9,1),(11,1),(31,1),(32,1),(39,1),(81,1),(141,1),(217,1),(231,1),(323,1),(335,1)}
         5:{2,5,6,7}:{(1,1),(12,1),(13,1),(96,1),(118,1),(210,1)}
         6:{1,4,6,7}:{(1,1),(3,1),(13,1),(15,1),(16,1),(50,1),(293,1)}
         7:{1,4,5,6}:{(4,1),(14,1),(15,1),(17,1),(52,1),(62,1),(103,1),(115,1),(171,1),(195,1),(293,1)}
         8:{4,6,7}:{(2,1),(18,1),(271,1),(381,1)}
         9:{2,4,5,7}:{(3,1),(4,1),(15,1),(18,1),(20,1),(49,1),(55,1),(58,1),(174,1),(179,1),(271,1)}
        10:{3,6,7}:{(3,1),(20,1),(390,1)}
        11:{3,5,6}:{(4,1),(20,1),(22,1),(183,1),(283,1),(390,1)}
        12:{3,5,6,7}:{(5,1),(24,1),(26,1),(65,1),(158,1),(252,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(25,1),(26,1),(29,1),(259,1)}
        14:{2,4,5,6}:{(7,1),(25,1),(27,1),(31,1),(64,1),(71,1),(92,1),(130,1),(155,1),(169,1),(247,1),(259,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(9,1),(25,1),(28,1),(75,1),(83,1),(88,1),(132,1),(137,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(26,1),(28,1),(29,1),(349,1)}
        17:{1,3,5,6}:{(7,1),(11,1),(27,1),(28,1),(30,1),(31,1),(243,1),(349,1)}
        18:{4,5,7}:{(8,1),(32,1),(33,1)}
        19:{3,4,6,7}:{(8,1),(10,1),(33,1),(34,1),(36,1),(80,1)}
        20:{3,5,7}:{(9,1),(10,1),(11,1),(36,1),(225,1)}
        21:{2,3,6,7}:{(10,1),(29,1),(34,1),(37,1),(38,1),(153,1)}
        22:{3,4,6}:{(11,1),(35,1),(36,1),(39,1),(323,1)}
        23:{2,3,5,6}:{(11,1),(31,1),(37,1),(39,1),(40,1),(77,1),(81,1),(85,1),(153,1)}
        24:{4,6,7}:{(12,1),(41,1),(201,1),(306,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(15,1),(41,1),(43,1),(49,1),(96,1),(99,1),(118,1),(123,1),(201,1)}
        26:{3,6,7}:{(13,1),(43,1),(315,1)}
        27:{3,5,6}:{(14,1),(43,1),(45,1),(127,1),(213,1),(315,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(17,1),(20,1),(43,1),(48,1),(49,1)}
        29:{2,6,7}:{(16,1),(49,1),(50,1),(403,1)}
        30:{1,3,4,6}:{(17,1),(22,1),(45,1),(47,1),(48,1),(51,1),(62,1),(103,1),(111,1),(127,1),(183,1)}
        31:{2,5,6}:{(17,1),(49,1),(51,1),(52,1),(296,1),(403,1)}
        32:{4,5,6}:{(18,1),(53,1),(381,1),(533,1)}
        33:{3,5,7}:{(18,1),(19,1),(53,1),(55,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(55,1),(56,1),(58,1),(114,1)}
        35:{3,4,5}:{(22,1),(57,1),(283,1),(377,1),(416,1)}
        36:{3,4,7}:{(20,1),(22,1),(58,1),(271,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(23,1),(49,1),(55,1),(58,1),(59,1),(107,1)}
        38:{1,3,6,7}:{(21,1),(50,1),(56,1),(59,1),(60,1),(119,1),(196,1)}
        39:{2,4,6}:{(22,1),(23,1),(57,1),(58,1),(62,1)}
        40:{1,3,5,6}:{(23,1),(52,1),(59,1),(62,1),(63,1),(111,1),(115,1),(120,1),(127,1),(196,1),(198,1)}
        41:{4,5,7}:{(24,1),(64,1),(65,1)}
        42:{3,4,6,7}:{(24,1),(26,1),(65,1),(66,1),(68,1),(129,1)}
        43:{3,5,7}:{(25,1),(26,1),(27,1),(68,1),(163,1)}
        44:{2,3,6,7}:{(26,1),(29,1),(66,1),(69,1),(70,1),(215,1)}
        45:{3,4,6}:{(27,1),(67,1),(68,1),(71,1),(247,1)}
        46:{2,3,5,6}:{(27,1),(31,1),(69,1),(71,1),(72,1),(77,1),(130,1),(134,1),(215,1)}
        47:{1,3,4,5}:{(30,1),(35,1),(67,1),(73,1),(86,1),(135,1),(144,1),(161,1),(223,1),(235,1),(243,1)}
        48:{1,3,4,7}:{(28,1),(30,1),(36,1),(68,1),(74,1),(88,1),(137,1),(146,1),(163,1),(225,1)}
        49:{2,5,7}:{(28,1),(29,1),(31,1),(74,1),(75,1)}
        50:{1,6,7}:{(29,1),(75,1),(450,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(74,1),(77,1),(78,1),(150,1)}
        52:{1,5,6}:{(31,1),(75,1),(78,1),(351,1),(450,1)}
        53:{3,5,6}:{(32,1),(33,1),(80,1),(81,1),(516,1)}
        54:{3,4,5,7}:{(33,1),(35,1),(36,1),(80,1),(82,1),(327,1),(334,1),(457,1),(516,1)}
        55:{2,5,7}:{(33,1),(34,1),(81,1),(83,1)}
        56:{1,4,6,7}:{(34,1),(38,1),(83,1),(84,1),(88,1),(154,1)}
        57:{2,4,5}:{(35,1),(39,1),(85,1),(86,1),(363,1)}
        58:{2,4,7}:{(36,1),(37,1),(39,1),(88,1)}
        59:{1,3,5,7}:{(37,1),(38,1),(40,1),(75,1),(83,1),(88,1),(89,1),(146,1),(158,1),(163,1)}
        60:{2,6,7}:{(38,1),(89,1),(245,1)}
        61:{2,3,4,6}:{(39,1),(77,1),(85,1),(87,1),(91,1),(143,1),(153,1),(230,1),(242,1),(261,1),(363,1),(453,1)}
        62:{1,4,6}:{(39,1),(40,1),(86,1),(88,1),(92,1),(247,1)}
        63:{2,5,6}:{(40,1),(89,1),(92,1),(150,1),(160,1),(245,1)}
        64:{4,5,6}:{(41,1),(94,1),(306,1),(545,1)}
        65:{3,5,7}:{(41,1),(42,1),(94,1),(96,1)}
        66:{2,4,6,7}:{(42,1),(44,1),(96,1),(97,1),(99,1),(170,1)}
        67:{3,4,5}:{(45,1),(98,1),(213,1),(302,1),(476,1)}
        68:{3,4,7}:{(43,1),(45,1),(99,1),(201,1)}
        69:{2,3,5,7}:{(43,1),(44,1),(46,1),(49,1),(96,1),(99,1),(100,1),(107,1)}
        70:{1,3,6,7}:{(44,1),(50,1),(97,1),(100,1),(101,1),(175,1),(266,1)}
        71:{2,4,6}:{(45,1),(46,1),(98,1),(99,1),(103,1)}
        72:{1,3,5,6}:{(46,1),(52,1),(100,1),(103,1),(104,1),(111,1),(171,1),(176,1),(183,1),(266,1),(268,1)}
        73:{2,4,5}:{(47,1),(51,1),(105,1),(106,1),(186,1),(288,1),(296,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(107,1),(108,1),(188,1)}
        75:{1,5,7}:{(49,1),(50,1),(52,1),(108,1)}
        76:{1,2,6,7}:{(50,1),(60,1),(101,1),(109,1),(110,1),(299,1),(374,1),(403,1),(489,1),(499,1),(531,1)}
        77:{2,3,6}:{(51,1),(105,1),(107,1),(111,1),(127,1),(183,1)}
        78:{1,4,6}:{(51,1),(52,1),(106,1),(108,1),(111,1)}
        79:{1,2,5,6}:{(52,1),(63,1),(104,1),(109,1),(112,1),(113,1),(192,1),(203,1),(273,1),(296,1),(299,1),(374,1),(403,1),(405,1),(423,1),(483,1)}
        80:{3,4,6}:{(53,1),(54,1),(114,1),(381,1),(390,1)}
        81:{2,5,6}:{(53,1),(55,1),(114,1),(115,1),(491,1)}
        82:{2,4,5,7}:{(54,1),(55,1),(57,1),(58,1),(114,1),(116,1),(117,1),(412,1),(491,1)}
        83:{1,5,7}:{(55,1),(56,1),(115,1),(118,1)}
        84:{2,4,6,7}:{(56,1),(60,1),(118,1),(119,1),(123,1),(197,1),(201,1)}
        85:{2,3,5}:{(57,1),(61,1),(120,1),(283,1),(296,1),(491,1)}
        86:{1,4,5}:{(57,1),(62,1),(120,1),(121,1),(302,1),(309,1)}
        87:{2,3,4,7}:{(58,1),(61,1),(107,1),(116,1),(122,1),(278,1),(291,1),(312,1),(412,1)}
        88:{1,4,7}:{(58,1),(59,1),(62,1),(123,1),(201,1)}
        89:{2,5,7}:{(59,1),(60,1),(63,1),(123,1),(188,1)}
        90:{2,3,6,7}:{(60,1),(110,1),(119,1),(124,1),(125,1),(300,1),(315,1),(403,1),(467,1),(531,1),(548,1)}
        91:{1,3,4,6}:{(61,1),(62,1),(111,1),(120,1),(122,1),(126,1),(127,1),(185,1),(196,1),(205,1),(211,1),(295,1),(301,1),(309,1),(408,1)}
        92:{2,4,6}:{(62,1),(63,1),(121,1),(123,1),(127,1)}
        93:{2,3,5,6}:{(63,1),(113,1),(124,1),(127,1),(128,1),(193,1),(198,1),(204,1),(210,1),(213,1),(296,1),(300,1),(315,1),(383,1),(403,1),(409,1),(467,1),(483,1),(523,1),(529,1),(546,1)}
        94:{3,5,6}:{(64,1),(65,1),(129,1),(130,1),(537,1)}
        95:{3,4,5,7}:{(65,1),(67,1),(68,1),(129,1),(131,1),(251,1),(258,1),(504,1),(537,1)}
        96:{2,5,7}:{(65,1),(66,1),(130,1),(132,1)}
        97:{1,4,6,7}:{(66,1),(70,1),(132,1),(133,1),(137,1),(216,1)}
        98:{2,4,5}:{(67,1),(71,1),(134,1),(135,1),(434,1)}
        99:{2,4,7}:{(68,1),(69,1),(71,1),(137,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(132,1),(137,1),(138,1),(146,1),(220,1),(225,1)}
       101:{2,6,7}:{(70,1),(138,1),(321,1)}
       102:{2,3,4,6}:{(71,1),(77,1),(134,1),(136,1),(140,1),(143,1),(168,1),(215,1),(242,1),(337,1),(434,1),(500,1)}
       103:{1,4,6}:{(71,1),(72,1),(135,1),(137,1),(141,1),(323,1)}
       104:{2,5,6}:{(72,1),(138,1),(141,1),(150,1),(222,1),(321,1)}
       105:{2,3,5}:{(73,1),(77,1),(143,1),(144,1),(161,1),(223,1)}
       106:{1,4,5}:{(73,1),(78,1),(144,1),(344,1),(351,1)}
       107:{2,3,7}:{(74,1),(77,1),(146,1),(163,1),(225,1)}
       108:{1,4,7}:{(74,1),(75,1),(78,1),(146,1)}
       109:{1,2,5,7}:{(75,1),(76,1),(79,1),(89,1),(138,1),(147,1),(148,1),(236,1),(348,1),(452,1),(466,1),(513,1)}
       110:{1,3,6,7}:{(76,1),(90,1),(139,1),(148,1),(149,1),(349,1),(354,1),(425,1),(450,1)}
       111:{1,3,6}:{(77,1),(78,1),(144,1),(146,1),(150,1)}
       112:{1,2,4,6}:{(78,1),(79,1),(92,1),(141,1),(145,1),(147,1),(150,1),(151,1),(152,1),(242,1),(448,1),(462,1),(509,1),(514,1)}
       113:{1,3,5,6}:{(79,1),(93,1),(142,1),(148,1),(151,1),(152,1),(240,1),(241,1),(243,1),(253,1),(329,1),(349,1),(351,1),(354,1),(425,1),(450,1),(454,1),(501,1)}
       114:{2,4,6}:{(80,1),(81,1),(82,1),(153,1),(154,1)}
       115:{1,5,6}:{(81,1),(83,1),(154,1),(155,1),(454,1)}
       116:{2,3,5,7}:{(82,1),(85,1),(87,1),(153,1),(156,1),(334,1),(348,1)}
       117:{1,4,5,7}:{(82,1),(83,1),(86,1),(88,1),(154,1),(156,1),(157,1),(359,1),(454,1)}
       118:{2,5,7}:{(83,1),(84,1),(155,1),(158,1)}
       119:{3,6,7}:{(84,1),(158,1),(163,1),(246,1)}
       120:{1,3,5}:{(85,1),(86,1),(91,1),(160,1),(161,1),(351,1),(356,1),(454,1)}
       121:{2,4,5}:{(86,1),(92,1),(160,1),(161,1),(254,1)}
       122:{1,3,4,7}:{(87,1),(88,1),(91,1),(146,1),(156,1),(162,1),(163,1),(250,1),(256,1),(347,1),(359,1)}
       123:{2,4,7}:{(88,1),(89,1),(92,1),(163,1)}
       124:{2,3,5,7}:{(89,1),(90,1),(93,1),(148,1),(158,1),(163,1),(164,1),(165,1),(237,1),(258,1),(348,1),(513,1),(542,1),(551,1)}
       125:{2,4,6,7}:{(90,1),(149,1),(159,1),(164,1),(165,1),(259,1),(355,1),(500,1)}
       126:{2,4,6}:{(91,1),(150,1),(160,1),(162,1),(167,1),(232,1),(245,1),(254,1)}
       127:{3,6}:{(92,1),(161,1),(163,1)}
       128:{2,4,6}:{(93,1),(152,1),(164,1),(168,1),(169,1),(247,1),(254,1),(434,1),(550,1)}
       129:{3,4,6}:{(94,1),(95,1),(170,1),(306,1),(315,1)}
       130:{2,5,6}:{(94,1),(96,1),(170,1),(171,1),(523,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(98,1),(99,1),(170,1),(172,1),(173,1),(472,1),(523,1)}
       132:{1,5,7}:{(96,1),(97,1),(171,1),(174,1)}
       133:{2,4,6,7}:{(97,1),(101,1),(174,1),(175,1),(179,1),(267,1),(271,1)}
       134:{2,3,5}:{(98,1),(102,1),(176,1),(213,1),(296,1),(523,1)}
       135:{1,4,5}:{(98,1),(103,1),(176,1),(177,1),(377,1),(384,1)}
       136:{2,3,4,7}:{(99,1),(102,1),(107,1),(172,1),(178,1),(208,1),(291,1),(387,1),(472,1)}
       137:{1,4,7}:{(99,1),(100,1),(103,1),(179,1),(271,1)}
       138:{2,5,7}:{(100,1),(101,1),(104,1),(179,1),(188,1)}
       139:{2,3,6,7}:{(101,1),(110,1),(175,1),(180,1),(181,1),(375,1),(390,1),(403,1),(407,1),(499,1),(536,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(111,1),(176,1),(178,1),(182,1),(183,1),(185,1),(266,1),(275,1),(281,1),(295,1),(376,1),(384,1),(468,1)}
       141:{2,4,6}:{(103,1),(104,1),(177,1),(179,1),(183,1)}
       142:{2,3,5,6}:{(104,1),(113,1),(180,1),(183,1),(184,1),(193,1),(268,1),(274,1),(280,1),(283,1),(296,1),(308,1),(375,1),(390,1),(403,1),(407,1),(423,1),(469,1),(491,1),(497,1),(534,1)}
       143:{2,3,4}:{(105,1),(185,1),(205,1),(275,1),(288,1),(396,1)}
       144:{1,3,5}:{(105,1),(106,1),(111,1),(185,1),(186,1)}
       145:{1,2,4,5}:{(106,1),(112,1),(121,1),(177,1),(186,1),(187,1),(195,1),(203,1),(273,1),(285,1),(288,1),(296,1),(309,1),(384,1),(399,1),(417,1),(477,1),(485,1)}
       146:{1,3,7}:{(107,1),(108,1),(111,1),(188,1)}
       147:{1,2,4,7}:{(108,1),(109,1),(112,1),(123,1),(179,1),(188,1),(189,1),(190,1),(291,1),(488,1),(498,1),(530,1),(532,1)}
       148:{1,3,5,7}:{(109,1),(110,1),(113,1),(124,1),(180,1),(189,1),(190,1),(191,1),(290,1),(402,1)}
       149:{1,4,6,7}:{(110,1),(125,1),(181,1),(190,1),(191,1),(293,1),(408,1),(468,1)}
       150:{2,6}:{(111,1),(186,1),(188,1)}
       151:{1,3,6}:{(112,1),(127,1),(183,1),(187,1),(189,1),(193,1),(497,1),(529,1)}
       152:{1,4,6}:{(113,1),(128,1),(184,1),(190,1),(195,1),(309,1),(384,1)}
       153:{2,3,6}:{(114,1),(116,1),(196,1),(390,1),(403,1)}
       154:{1,4,6}:{(114,1),(115,1),(117,1),(196,1),(197,1)}
       155:{2,5,6}:{(115,1),(118,1),(197,1),(198,1),(409,1)}
       156:{1,3,5,7}:{(116,1),(117,1),(120,1),(122,1),(196,1),(199,1),(200,1),(402,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(121,1),(123,1),(197,1),(199,1),(200,1),(201,1),(302,1),(304,1),(409,1)}
       158:{3,5,7}:{(118,1),(119,1),(198,1),(201,1)}
       159:{3,4,6,7}:{(119,1),(125,1),(201,1),(202,1),(208,1),(301,1),(306,1),(315,1),(522,1),(548,1),(552,1)}
       160:{2,5}:{(120,1),(126,1)}
       161:{3,5}:{(121,1),(127,1),(205,1)}
       162:{2,4,7}:{(122,1),(126,1),(188,1),(199,1),(207,1)}
       163:{3,7}:{(123,1),(127,1)}
       164:{2,4,7}:{(124,1),(128,1),(190,1),(201,1),(208,1),(552,1)}
       165:{2,5,7}:{(125,1),(191,1),(202,1),(210,1),(409,1),(523,1)}
       166:{1,2,4,6}:{(126,1),(192,1),(203,1),(206,1),(211,1),(285,1),(295,1),(299,1),(309,1),(317,1),(408,1)}
       167:{2,3,6}:{(126,1),(127,1),(204,1),(207,1),(211,1),(286,1)}
       168:{3,4,6}:{(127,1),(128,1),(205,1),(208,1),(213,1),(315,1),(476,1),(529,1)}
       169:{2,4,5}:{(128,1),(195,1),(213,1),(296,1),(302,1),(409,1),(523,1),(545,1)}
       170:{2,4,6}:{(129,1),(130,1),(131,1),(215,1),(216,1)}
       171:{1,5,6}:{(130,1),(132,1),(216,1),(217,1),(501,1)}
       172:{2,3,5,7}:{(131,1),(134,1),(136,1),(215,1),(218,1),(258,1),(348,1)}
       173:{1,4,5,7}:{(131,1),(132,1),(135,1),(137,1),(216,1),(218,1),(219,1),(430,1),(501,1)}
       174:{2,5,7}:{(132,1),(133,1),(217,1),(220,1)}
       175:{3,6,7}:{(133,1),(220,1),(225,1),(322,1)}
       176:{1,3,5}:{(134,1),(135,1),(140,1),(222,1),(223,1),(351,1),(427,1),(501,1)}
       177:{2,4,5}:{(135,1),(141,1),(222,1),(223,1),(330,1)}
       178:{1,3,4,7}:{(136,1),(137,1),(140,1),(146,1),(218,1),(224,1),(225,1),(326,1),(332,1),(347,1),(430,1)}
       179:{2,4,7}:{(137,1),(138,1),(141,1),(225,1)}
       180:{2,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(220,1),(225,1),(226,1),(227,1),(237,1),(334,1),(348,1),(466,1),(521,1),(544,1)}
       181:{2,4,6,7}:{(139,1),(149,1),(221,1),(226,1),(227,1),(335,1),(426,1),(453,1)}
       182:{2,4,6}:{(140,1),(150,1),(222,1),(224,1),(229,1),(232,1),(321,1),(330,1)}
       183:{3,6}:{(141,1),(223,1),(225,1)}
       184:{2,4,6}:{(142,1),(152,1),(226,1),(230,1),(231,1),(323,1),(330,1),(363,1),(543,1)}
       185:{1,3,4}:{(143,1),(144,1),(232,1),(342,1),(344,1)}
       186:{2,5}:{(144,1),(150,1),(232,1)}
       187:{1,3,5}:{(145,1),(151,1),(161,1),(223,1),(234,1),(235,1),(342,1),(461,1),(508,1)}
       188:{2,7}:{(146,1),(150,1)}
       189:{1,3,7}:{(147,1),(151,1),(163,1),(225,1),(237,1),(521,1),(542,1)}
       190:{1,4,7}:{(148,1),(152,1),(164,1),(226,1)}
       191:{1,5,7}:{(149,1),(165,1),(227,1),(240,1),(454,1),(501,1)}
       192:{1,2,6}:{(150,1),(233,1),(236,1),(241,1),(514,1)}
       193:{2,3,6}:{(150,1),(151,1),(234,1),(237,1),(241,1),(242,1),(514,1)}
       194:{1,3,4,6}:{(151,1),(152,1),(168,1),(230,1),(235,1),(238,1),(242,1),(243,1),(349,1)}
       195:{1,4,5}:{(152,1),(169,1),(231,1),(243,1),(351,1),(454,1),(501,1)}
       196:{1,3,6}:{(153,1),(154,1),(156,1),(245,1),(246,1),(450,1)}
       197:{2,4,6}:{(154,1),(155,1),(157,1),(245,1),(246,1),(247,1)}
       198:{3,5,6}:{(155,1),(158,1),(246,1),(247,1),(356,1)}
       199:{2,5,7}:{(156,1),(160,1),(162,1),(245,1)}
       200:{3,5,7}:{(157,1),(161,1),(163,1),(246,1),(250,1),(356,1)}
       201:{4,7}:{(158,1),(247,1)}
       202:{3,5,7}:{(159,1),(165,1),(251,1),(252,1),(356,1),(537,1)}
       203:{1,2,5}:{(160,1),(166,1),(253,1),(351,1),(371,1),(454,1)}
       204:{2,3,5}:{(160,1),(161,1),(167,1),(253,1),(254,1)}
       205:{3,4}:{(161,1),(254,1)}
       206:{1,2,4,7}:{(162,1),(166,1),(236,1),(248,1),(256,1),(347,1),(359,1),(367,1)}
       207:{2,3,7}:{(162,1),(163,1),(167,1),(256,1)}
       208:{3,4,7}:{(163,1),(164,1),(168,1),(258,1),(542,1)}
       209:{2,4,5,7}:{(164,1),(165,1),(169,1),(239,1),(251,1),(258,1),(259,1),(348,1)}
       210:{2,5,6}:{(165,1),(240,1),(252,1),(259,1)}
       211:{1,3,6}:{(166,1),(167,1),(253,1),(256,1),(261,1),(342,1)}
       212:{2,3,4,6}:{(167,1),(168,1),(242,1),(254,1),(257,1),(262,1),(263,1),(343,1),(355,1),(365,1),(369,1),(447,1)}
       213:{3,5}:{(168,1),(169,1)}
       214:{2,4,5,6}:{(169,1),(244,1),(259,1),(264,1),(265,1),(352,1),(357,1),(365,1),(455,1),(509,1),(538,1),(550,1)}
       215:{2,3,6}:{(170,1),(172,1),(266,1),(315,1),(403,1)}
       216:{1,4,6}:{(170,1),(171,1),(173,1),(266,1),(267,1)}
       217:{2,5,6}:{(171,1),(174,1),(267,1),(268,1),(469,1)}
       218:{1,3,5,7}:{(172,1),(173,1),(176,1),(178,1),(266,1),(269,1),(270,1),(402,1)}
       219:{2,4,5,7}:{(173,1),(174,1),(177,1),(179,1),(267,1),(269,1),(270,1),(271,1),(377,1),(379,1),(469,1)}
       220:{3,5,7}:{(174,1),(175,1),(268,1),(271,1)}
       221:{3,4,6,7}:{(175,1),(181,1),(271,1),(272,1),(278,1),(376,1),(381,1),(390,1),(490,1),(536,1),(549,1)}
       222:{2,5}:{(176,1),(182,1)}
       223:{3,5}:{(177,1),(183,1),(275,1)}
       224:{2,4,7}:{(178,1),(182,1),(188,1),(269,1),(277,1)}
       225:{3,7}:{(179,1),(183,1)}
       226:{2,4,7}:{(180,1),(184,1),(190,1),(271,1),(278,1),(549,1)}
       227:{2,5,7}:{(181,1),(191,1),(272,1),(280,1),(469,1),(491,1)}
       228:{1,2,4,6}:{(182,1),(192,1),(273,1),(276,1),(281,1),(285,1),(295,1),(374,1),(384,1),(392,1),(468,1)}
       229:{2,3,6}:{(182,1),(183,1),(274,1),(277,1),(281,1),(286,1)}
       230:{3,4,6}:{(183,1),(184,1),(275,1),(278,1),(283,1),(390,1),(416,1),(497,1)}
       231:{2,4,5}:{(184,1),(195,1),(283,1),(296,1),(377,1),(469,1),(491,1),(533,1)}
       232:{2,4}:{(185,1),(186,1),(286,1)}
       233:{1,2,5}:{(186,1),(192,1),(285,1),(287,1),(485,1)}
       234:{2,3,5}:{(186,1),(187,1),(193,1),(286,1),(287,1),(288,1),(296,1),(396,1),(485,1)}
       235:{1,3,4}:{(187,1),(205,1),(275,1),(288,1),(309,1),(384,1),(416,1),(476,1)}
       236:{1,2,7}:{(188,1),(192,1),(290,1),(532,1)}
       237:{2,3,7}:{(188,1),(189,1),(193,1),(290,1),(291,1),(532,1)}
       238:{1,3,4,7}:{(189,1),(190,1),(194,1),(208,1),(278,1),(291,1),(292,1)}
       239:{1,4,5,7}:{(190,1),(191,1),(195,1),(209,1),(279,1),(292,1),(293,1),(402,1)}
       240:{1,5,6}:{(191,1),(210,1),(280,1),(293,1)}
       241:{1,3,6}:{(192,1),(193,1),(287,1),(290,1),(295,1)}
       242:{2,4,6}:{(193,1),(194,1),(288,1),(291,1),(295,1),(296,1),(403,1)}
       243:{1,3,5}:{(194,1),(195,1),(213,1),(283,1),(296,1)}
       244:{1,4,5,6}:{(195,1),(214,1),(284,1),(293,1),(297,1),(298,1),(405,1),(418,1),(478,1),(492,1),(524,1)}
       245:{2,6}:{(196,1),(199,1)}
       246:{3,6}:{(197,1),(200,1)}
       247:{4,6}:{(198,1),(201,1),(302,1)}
       248:{1,2,5,7}:{(199,1),(203,1),(206,1),(299,1),(303,1),(402,1),(420,1)}
       249:{2,3,5,7}:{(199,1),(200,1),(204,1),(207,1),(300,1),(303,1),(304,1),(409,1)}
       250:{3,4,7}:{(200,1),(201,1),(205,1),(301,1),(304,1)}
       251:{4,5,7}:{(201,1),(202,1),(302,1),(306,1),(545,1),(552,1)}
       252:{3,5,6}:{(202,1),(210,1),(306,1),(315,1)}
       253:{1,3,5}:{(203,1),(204,1),(211,1),(308,1),(309,1)}
       254:{2,4}:{(204,1),(205,1),(309,1)}
       255:{3,4,5}:{(205,1),(213,1),(310,1),(311,1),(545,1)}
       256:{1,3,7}:{(206,1),(207,1),(211,1),(312,1)}
       257:{2,3,4,7}:{(207,1),(208,1),(212,1),(291,1),(304,1),(313,1),(314,1),(419,1),(487,1)}
       258:{3,5,7}:{(208,1),(209,1),(213,1),(315,1)}
       259:{2,4,6}:{(209,1),(210,1),(293,1),(306,1),(315,1),(403,1)}
       260:{2,5,6,7}:{(210,1),(294,1),(307,1),(316,1),(493,1),(547,1)}
       261:{2,3,6}:{(211,1),(308,1),(312,1),(317,1),(396,1),(497,1)}
       262:{1,3,4,6}:{(211,1),(212,1),(295,1),(309,1),(313,1),(317,1),(318,1),(397,1),(408,1),(416,1),(418,1),(421,1),(486,1),(490,1),(497,1)}
       263:{2,3,5}:{(212,1),(213,1),(296,1),(310,1),(318,1),(409,1)}
       264:{3,5,6}:{(213,1),(214,1),(311,1),(315,1),(320,1),(529,1)}
       265:{2,4,5,7}:{(214,1),(298,1),(316,1),(320,1),(406,1),(411,1),(419,1),(493,1),(530,1),(547,1),(552,1)}
       266:{1,3,6}:{(215,1),(216,1),(218,1),(321,1),(322,1),(450,1)}
       267:{2,4,6}:{(216,1),(217,1),(219,1),(321,1),(322,1),(323,1)}
       268:{3,5,6}:{(217,1),(220,1),(322,1),(323,1),(427,1)}
       269:{2,5,7}:{(218,1),(222,1),(224,1),(321,1)}
       270:{3,5,7}:{(219,1),(223,1),(225,1),(322,1),(326,1),(427,1)}
       271:{4,7}:{(220,1),(323,1)}
       272:{3,5,7}:{(221,1),(227,1),(327,1),(328,1),(427,1),(516,1)}
       273:{1,2,5}:{(222,1),(228,1),(329,1),(351,1),(442,1),(501,1)}
       274:{2,3,5}:{(222,1),(223,1),(229,1),(329,1),(330,1)}
       275:{3,4}:{(223,1),(330,1)}
       276:{1,2,4,7}:{(224,1),(228,1),(236,1),(324,1),(332,1),(347,1),(430,1),(438,1)}
       277:{2,3,7}:{(224,1),(225,1),(229,1),(332,1)}
       278:{3,4,7}:{(225,1),(226,1),(230,1),(334,1),(521,1)}
       279:{2,4,5,7}:{(226,1),(227,1),(231,1),(239,1),(327,1),(334,1),(335,1),(348,1)}
       280:{2,5,6}:{(227,1),(240,1),(328,1),(335,1)}
       281:{1,3,6}:{(228,1),(229,1),(329,1),(332,1),(337,1),(342,1)}
       282:{2,3,4,6}:{(229,1),(230,1),(242,1),(330,1),(333,1),(338,1),(339,1),(343,1),(426,1),(436,1),(440,1),(447,1)}
       283:{3,5}:{(230,1),(231,1)}
       284:{2,4,5,6}:{(231,1),(244,1),(335,1),(340,1),(341,1),(352,1),(428,1),(436,1),(462,1),(502,1),(517,1),(543,1)}
       285:{1,2,4}:{(232,1),(233,1),(342,1),(344,1),(445,1)}
       286:{2,3}:{(232,1),(342,1)}
       287:{1,3,5}:{(233,1),(234,1),(241,1),(342,1),(344,1),(351,1)}
       288:{2,4}:{(234,1),(235,1),(344,1)}
       289:{1,3,4,5}:{(235,1),(243,1),(255,1),(331,1),(345,1),(346,1),(364,1),(435,1),(446,1),(461,1),(508,1)}
       290:{1,3,7}:{(236,1),(237,1),(241,1),(347,1)}
       291:{2,4,7}:{(237,1),(238,1),(242,1),(347,1),(348,1)}
       292:{1,3,5,7}:{(238,1),(239,1),(243,1),(258,1),(334,1),(348,1),(349,1)}
       293:{1,4,6}:{(239,1),(240,1),(259,1),(335,1),(349,1),(450,1)}
       294:{1,5,6,7}:{(240,1),(260,1),(336,1),(350,1),(518,1),(539,1)}
       295:{1,4,6}:{(241,1),(242,1),(344,1),(347,1),(351,1),(450,1)}
       296:{2,5}:{(242,1),(243,1),(351,1)}
       297:{1,3,5,6}:{(243,1),(244,1),(264,1),(340,1),(346,1),(349,1),(352,1),(353,1)}
       298:{1,4,5,7}:{(244,1),(265,1),(341,1),(350,1),(353,1),(452,1),(463,1),(510,1),(518,1),(539,1)}
       299:{1,2,6}:{(245,1),(248,1),(354,1),(450,1),(464,1)}
       300:{2,3,6}:{(245,1),(246,1),(249,1),(354,1),(355,1)}
       301:{3,4,6}:{(246,1),(247,1),(250,1),(355,1),(356,1)}
       302:{4,5}:{(247,1),(356,1)}
       303:{1,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(354,1),(358,1),(359,1),(454,1)}
       304:{2,4,7}:{(249,1),(250,1),(254,1),(355,1),(359,1)}
       305:{3,4,5,7}:{(250,1),(251,1),(255,1),(258,1),(356,1),(360,1),(361,1),(366,1),(456,1)}
       306:{4,6}:{(251,1),(252,1)}
       307:{3,5,6,7}:{(252,1),(260,1),(362,1),(370,1),(456,1),(551,1)}
       308:{2,3,5}:{(253,1),(261,1),(363,1),(371,1),(461,1)}
       309:{1,4}:{(253,1),(254,1),(363,1)}
       310:{2,4,5}:{(254,1),(255,1),(263,1),(364,1),(365,1)}
       311:{3,4,6}:{(255,1),(264,1),(365,1),(366,1),(550,1)}
       312:{2,3,7}:{(256,1),(261,1),(367,1),(521,1)}
       313:{1,3,4,7}:{(256,1),(257,1),(262,1),(347,1),(359,1),(367,1),(368,1),(457,1),(463,1),(515,1),(521,1)}
       314:{2,3,5,7}:{(257,1),(258,1),(263,1),(348,1),(360,1),(368,1),(369,1)}
       315:{3,6}:{(258,1),(259,1)}
       316:{2,4,6,7}:{(259,1),(260,1),(265,1),(350,1),(362,1),(370,1),(451,1)}
       317:{2,4,6}:{(261,1),(262,1),(363,1),(367,1),(371,1),(445,1),(464,1),(514,1)}
       318:{1,3,5}:{(262,1),(263,1),(351,1),(364,1),(371,1),(454,1),(461,1),(516,1)}
       319:{2,3,5,6}:{(263,1),(264,1),(352,1),(365,1),(369,1),(372,1),(373,1),(447,1),(455,1)}
       320:{3,5,7}:{(264,1),(265,1),(366,1),(370,1),(542,1)}
       321:{2,6}:{(266,1),(269,1)}
       322:{3,6}:{(267,1),(270,1)}
       323:{4,6}:{(268,1),(271,1),(377,1)}
       324:{1,2,5,7}:{(269,1),(273,1),(276,1),(374,1),(378,1),(402,1),(480,1)}
       325:{2,3,5,7}:{(269,1),(270,1),(274,1),(277,1),(375,1),(378,1),(379,1),(469,1)}
       326:{3,4,7}:{(270,1),(271,1),(275,1),(376,1),(379,1)}
       327:{4,5,7}:{(271,1),(272,1),(377,1),(381,1),(533,1),(549,1)}
       328:{3,5,6}:{(272,1),(280,1),(381,1),(390,1)}
       329:{1,3,5}:{(273,1),(274,1),(281,1),(383,1),(384,1)}
       330:{2,4}:{(274,1),(275,1),(384,1)}
       331:{3,4,5}:{(275,1),(283,1),(385,1),(386,1),(533,1)}
       332:{1,3,7}:{(276,1),(277,1),(281,1),(387,1)}
       333:{2,3,4,7}:{(277,1),(278,1),(282,1),(291,1),(379,1),(388,1),(389,1),(479,1),(487,1)}
       334:{3,5,7}:{(278,1),(279,1),(283,1),(390,1)}
       335:{2,4,6}:{(279,1),(280,1),(293,1),(381,1),(390,1),(403,1)}
       336:{2,5,6,7}:{(280,1),(294,1),(382,1),(391,1),(525,1),(535,1)}
       337:{2,3,6}:{(281,1),(383,1),(387,1),(392,1),(396,1),(529,1)}
       338:{1,3,4,6}:{(281,1),(282,1),(295,1),(384,1),(388,1),(392,1),(393,1),(397,1),(468,1),(476,1),(478,1),(481,1),(486,1),(522,1),(529,1)}
       339:{2,3,5}:{(282,1),(283,1),(296,1),(385,1),(393,1),(469,1)}
       340:{3,5,6}:{(283,1),(284,1),(386,1),(390,1),(395,1),(497,1)}
       341:{2,4,5,7}:{(284,1),(298,1),(391,1),(395,1),(406,1),(471,1),(479,1),(498,1),(525,1),(535,1),(549,1)}
       342:{1,3}:{(285,1),(286,1),(396,1)}
       343:{2,3,4}:{(286,1),(288,1),(397,1),(398,1),(416,1),(476,1)}
       344:{1,4}:{(287,1),(288,1)}
       345:{2,4,5}:{(288,1),(289,1),(296,1),(398,1),(399,1),(400,1),(485,1)}
       346:{1,3,4,6}:{(289,1),(297,1),(311,1),(386,1),(400,1),(401,1),(418,1),(478,1),(486,1),(497,1),(529,1)}
       347:{1,4,7}:{(290,1),(291,1),(295,1),(402,1)}
       348:{2,5,7}:{(291,1),(292,1),(296,1),(402,1),(403,1)}
       349:{1,3,6}:{(292,1),(293,1),(315,1),(390,1),(403,1)}
       350:{1,4,6,7}:{(293,1),(294,1),(298,1),(316,1),(391,1),(404,1),(489,1)}
       351:{1,5}:{(295,1),(296,1)}
       352:{2,5,6}:{(296,1),(297,1),(400,1),(403,1),(405,1),(406,1)}
       353:{1,3,5,7}:{(297,1),(298,1),(320,1),(395,1),(401,1),(404,1),(406,1)}
       354:{1,3,6}:{(299,1),(300,1),(303,1),(407,1),(408,1)}
       355:{2,4,6}:{(300,1),(301,1),(304,1),(408,1),(409,1)}
       356:{3,5}:{(301,1),(302,1),(409,1)}
       357:{4,5,6}:{(302,1),(306,1),(410,1),(411,1)}
       358:{2,3,5,7}:{(303,1),(308,1),(312,1),(407,1),(412,1),(420,1),(491,1),(494,1)}
       359:{1,4,7}:{(303,1),(304,1),(309,1),(408,1),(412,1)}
       360:{2,4,5,7}:{(304,1),(305,1),(310,1),(314,1),(409,1),(413,1),(414,1),(419,1),(493,1)}
       361:{3,4,6}:{(305,1),(306,1),(315,1),(410,1),(414,1)}
       362:{4,6,7}:{(306,1),(307,1),(411,1),(552,1)}
       363:{2,4}:{(308,1),(309,1),(416,1)}
       364:{1,4,5}:{(309,1),(310,1),(318,1),(417,1),(418,1),(533,1)}
       365:{2,4,6}:{(310,1),(311,1),(319,1),(418,1),(419,1)}
       366:{3,4,7}:{(311,1),(320,1),(419,1),(552,1)}
       367:{2,4,7}:{(312,1),(313,1),(317,1),(420,1),(532,1)}
       368:{1,3,5,7}:{(313,1),(314,1),(318,1),(402,1),(413,1),(420,1),(421,1),(494,1)}
       369:{2,3,6}:{(314,1),(315,1),(403,1),(414,1),(421,1)}
       370:{3,6,7}:{(315,1),(316,1),(320,1)}
       371:{2,5}:{(317,1),(318,1)}
       372:{1,3,5,6}:{(318,1),(319,1),(405,1),(418,1),(421,1),(423,1),(424,1),(486,1),(492,1),(497,1),(534,1)}
       373:{2,3,5,7}:{(319,1),(320,1),(406,1),(419,1),(422,1),(424,1),(487,1),(493,1)}
       374:{1,2,6}:{(321,1),(324,1),(425,1),(450,1),(511,1)}
       375:{2,3,6}:{(321,1),(322,1),(325,1),(425,1),(426,1)}
       376:{3,4,6}:{(322,1),(323,1),(326,1),(426,1),(427,1)}
       377:{4,5}:{(323,1),(427,1)}
       378:{1,3,5,7}:{(324,1),(325,1),(329,1),(332,1),(425,1),(429,1),(430,1),(501,1)}
       379:{2,4,7}:{(325,1),(326,1),(330,1),(426,1),(430,1)}
       380:{3,4,5,7}:{(326,1),(327,1),(331,1),(334,1),(427,1),(431,1),(432,1),(437,1),(503,1)}
       381:{4,6}:{(327,1),(328,1)}
       382:{3,5,6,7}:{(328,1),(336,1),(433,1),(441,1),(503,1),(544,1)}
       383:{2,3,5}:{(329,1),(337,1),(434,1),(442,1),(508,1)}
       384:{1,4}:{(329,1),(330,1),(434,1)}
       385:{2,4,5}:{(330,1),(331,1),(339,1),(435,1),(436,1)}
       386:{3,4,6}:{(331,1),(340,1),(436,1),(437,1),(543,1)}
       387:{2,3,7}:{(332,1),(337,1),(438,1),(542,1)}
       388:{1,3,4,7}:{(332,1),(333,1),(338,1),(347,1),(430,1),(438,1),(439,1),(504,1),(510,1),(515,1),(542,1)}
       389:{2,3,5,7}:{(333,1),(334,1),(339,1),(348,1),(431,1),(439,1),(440,1)}
       390:{3,6}:{(334,1),(335,1)}
       391:{2,4,6,7}:{(335,1),(336,1),(341,1),(350,1),(433,1),(441,1),(451,1)}
       392:{2,4,6}:{(337,1),(338,1),(434,1),(438,1),(442,1),(445,1),(511,1),(514,1)}
       393:{1,3,5}:{(338,1),(339,1),(351,1),(435,1),(442,1),(501,1),(508,1),(537,1)}
       394:{2,3,5,6}:{(339,1),(340,1),(352,1),(436,1),(440,1),(443,1),(444,1),(447,1),(502,1)}
       395:{3,5,7}:{(340,1),(341,1),(437,1),(441,1),(521,1)}
       396:{2,3}:{(342,1),(445,1)}
       397:{1,3,4}:{(342,1),(343,1),(344,1),(445,1),(446,1)}
       398:{2,3,5}:{(343,1),(345,1),(446,1),(447,1),(461,1),(508,1)}
       399:{1,4,5}:{(344,1),(345,1),(351,1),(446,1),(448,1)}
       400:{2,4,6}:{(345,1),(346,1),(352,1),(447,1),(448,1),(449,1),(514,1)}
       401:{1,3,4,7}:{(346,1),(353,1),(366,1),(437,1),(449,1),(463,1),(510,1),(515,1),(521,1),(542,1)}
       402:{1,5,7}:{(347,1),(348,1),(351,1),(450,1)}
       403:{2,6}:{(348,1),(349,1),(450,1)}
       404:{1,3,6,7}:{(349,1),(350,1),(353,1),(370,1),(441,1),(451,1)}
       405:{1,5,6}:{(351,1),(352,1),(448,1),(450,1),(452,1)}
       406:{2,5,7}:{(352,1),(353,1),(449,1),(451,1),(452,1)}
       407:{2,3,6}:{(354,1),(358,1),(453,1),(464,1),(519,1)}
       408:{1,4,6}:{(354,1),(355,1),(359,1),(453,1),(454,1)}
       409:{2,5}:{(355,1),(356,1),(454,1)}
       410:{3,5,6}:{(356,1),(357,1),(361,1),(455,1),(456,1)}
       411:{4,5,7}:{(357,1),(362,1),(456,1)}
       412:{2,4,7}:{(358,1),(359,1),(363,1),(453,1),(457,1)}
       413:{1,4,5,7}:{(359,1),(360,1),(364,1),(368,1),(454,1),(458,1),(459,1),(463,1),(518,1)}
       414:{2,4,6}:{(360,1),(361,1),(369,1),(455,1),(459,1)}
       415:{3,4,6,7}:{(361,1),(362,1),(366,1),(370,1),(456,1),(460,1)}
       416:{3,4}:{(363,1),(461,1)}
       417:{2,4,5}:{(363,1),(364,1),(371,1),(461,1),(462,1)}
       418:{1,4,6}:{(364,1),(365,1),(372,1),(462,1),(463,1),(543,1)}
       419:{2,4,7}:{(365,1),(366,1),(373,1),(463,1)}
       420:{2,5,7}:{(367,1),(368,1),(371,1),(464,1)}
       421:{1,3,6}:{(368,1),(369,1),(450,1),(459,1),(464,1),(519,1)}
       422:{2,3,6,7}:{(369,1),(370,1),(373,1),(451,1),(460,1),(465,1)}
       423:{2,5,6}:{(371,1),(372,1),(462,1),(464,1),(466,1),(514,1)}
       424:{1,3,5,7}:{(372,1),(373,1),(452,1),(463,1),(465,1),(466,1),(515,1),(518,1),(521,1),(544,1)}
       425:{1,3,6}:{(374,1),(375,1),(378,1),(467,1),(468,1)}
       426:{2,4,6}:{(375,1),(376,1),(379,1),(468,1),(469,1)}
       427:{3,5}:{(376,1),(377,1),(469,1)}
       428:{4,5,6}:{(377,1),(381,1),(470,1),(471,1)}
       429:{2,3,5,7}:{(378,1),(383,1),(387,1),(467,1),(472,1),(480,1),(523,1),(526,1)}
       430:{1,4,7}:{(378,1),(379,1),(384,1),(468,1),(472,1)}
       431:{2,4,5,7}:{(379,1),(380,1),(385,1),(389,1),(469,1),(473,1),(474,1),(479,1),(525,1)}
       432:{3,4,6}:{(380,1),(381,1),(390,1),(470,1),(474,1)}
       433:{4,6,7}:{(381,1),(382,1),(471,1),(549,1)}
       434:{2,4}:{(383,1),(384,1),(476,1)}
       435:{1,4,5}:{(384,1),(385,1),(393,1),(477,1),(478,1),(545,1)}
       436:{2,4,6}:{(385,1),(386,1),(394,1),(478,1),(479,1)}
       437:{3,4,7}:{(386,1),(395,1),(479,1),(549,1)}
       438:{2,4,7}:{(387,1),(388,1),(392,1),(480,1),(532,1)}
       439:{1,3,5,7}:{(388,1),(389,1),(393,1),(402,1),(473,1),(480,1),(481,1),(526,1)}
       440:{2,3,6}:{(389,1),(390,1),(403,1),(474,1),(481,1)}
       441:{3,6,7}:{(390,1),(391,1),(395,1)}
       442:{2,5}:{(392,1),(393,1)}
       443:{1,3,5,6}:{(393,1),(394,1),(405,1),(478,1),(481,1),(483,1),(484,1),(486,1),(524,1),(529,1),(546,1)}
       444:{2,3,5,7}:{(394,1),(395,1),(406,1),(479,1),(482,1),(484,1),(487,1),(525,1)}
       445:{2,4}:{(396,1),(397,1),(485,1)}
       446:{1,3,5}:{(397,1),(398,1),(399,1),(485,1),(486,1)}
       447:{2,3,6}:{(398,1),(400,1),(486,1),(487,1),(497,1),(529,1)}
       448:{1,4,6}:{(399,1),(400,1),(405,1),(486,1),(488,1)}
       449:{2,4,7}:{(400,1),(401,1),(406,1),(487,1),(488,1),(532,1)}
       450:{1,6}:{(402,1),(403,1)}
       451:{2,6,7}:{(403,1),(404,1),(406,1),(489,1)}
       452:{1,5,7}:{(405,1),(406,1),(488,1),(489,1)}
       453:{2,4,6}:{(407,1),(408,1),(412,1),(490,1),(491,1)}
       454:{1,5}:{(408,1),(409,1),(491,1)}
       455:{2,5,6}:{(409,1),(410,1),(414,1),(492,1),(493,1)}
       456:{3,5,7}:{(410,1),(411,1),(415,1),(493,1)}
       457:{3,4,7}:{(412,1),(416,1),(490,1),(494,1),(549,1)}
       458:{2,4,5,7}:{(412,1),(413,1),(417,1),(420,1),(491,1),(494,1),(495,1),(498,1),(533,1),(535,1),(549,1)}
       459:{1,4,6}:{(413,1),(414,1),(421,1),(492,1),(495,1)}
       460:{2,4,6,7}:{(414,1),(415,1),(419,1),(422,1),(493,1),(496,1)}
       461:{3,5}:{(416,1),(417,1),(497,1)}
       462:{2,4,6}:{(417,1),(418,1),(423,1),(497,1),(498,1)}
       463:{1,4,7}:{(418,1),(419,1),(424,1),(498,1),(549,1)}
       464:{2,6}:{(420,1),(421,1)}
       465:{1,3,6,7}:{(421,1),(422,1),(424,1),(489,1),(496,1),(499,1),(536,1)}
       466:{2,5,7}:{(423,1),(424,1),(498,1),(499,1),(532,1)}
       467:{2,3,6}:{(425,1),(429,1),(500,1),(511,1),(540,1)}
       468:{1,4,6}:{(425,1),(426,1),(430,1),(500,1),(501,1)}
       469:{2,5}:{(426,1),(427,1),(501,1)}
       470:{3,5,6}:{(427,1),(428,1),(432,1),(502,1),(503,1)}
       471:{4,5,7}:{(428,1),(433,1),(503,1)}
       472:{2,4,7}:{(429,1),(430,1),(434,1),(500,1),(504,1)}
       473:{1,4,5,7}:{(430,1),(431,1),(435,1),(439,1),(501,1),(505,1),(506,1),(510,1),(539,1)}
       474:{2,4,6}:{(431,1),(432,1),(440,1),(502,1),(506,1)}
       475:{3,4,6,7}:{(432,1),(433,1),(437,1),(441,1),(503,1),(507,1)}
       476:{3,4}:{(434,1),(508,1)}
       477:{2,4,5}:{(434,1),(435,1),(442,1),(508,1),(509,1)}
       478:{1,4,6}:{(435,1),(436,1),(443,1),(509,1),(510,1),(550,1)}
       479:{2,4,7}:{(436,1),(437,1),(444,1),(510,1)}
       480:{2,5,7}:{(438,1),(439,1),(442,1),(511,1)}
       481:{1,3,6}:{(439,1),(440,1),(450,1),(506,1),(511,1),(540,1)}
       482:{2,3,6,7}:{(440,1),(441,1),(444,1),(451,1),(507,1),(512,1)}
       483:{2,5,6}:{(442,1),(443,1),(509,1),(511,1),(513,1),(514,1)}
       484:{1,3,5,7}:{(443,1),(444,1),(452,1),(510,1),(512,1),(513,1),(515,1),(539,1),(542,1),(551,1)}
       485:{2,5}:{(445,1),(446,1),(514,1)}
       486:{1,3,6}:{(446,1),(447,1),(448,1),(514,1),(515,1)}
       487:{2,3,7}:{(447,1),(449,1),(515,1),(521,1),(542,1)}
       488:{1,4,7}:{(448,1),(449,1),(452,1),(515,1)}
       489:{1,6,7}:{(450,1),(451,1),(452,1)}
       490:{3,4,6}:{(453,1),(457,1),(516,1),(519,1),(543,1)}
       491:{2,5}:{(453,1),(454,1),(516,1)}
       492:{1,5,6}:{(454,1),(455,1),(459,1),(517,1),(518,1)}
       493:{2,5,7}:{(455,1),(456,1),(460,1),(518,1)}
       494:{3,5,7}:{(457,1),(458,1),(461,1),(516,1),(519,1),(521,1)}
       495:{2,4,6}:{(458,1),(459,1),(464,1),(517,1),(519,1),(543,1)}
       496:{1,4,6,7}:{(459,1),(460,1),(463,1),(465,1),(518,1),(520,1)}
       497:{3,6}:{(461,1),(462,1),(521,1)}
       498:{2,4,7}:{(462,1),(463,1),(466,1),(521,1)}
       499:{2,6,7}:{(464,1),(465,1),(466,1)}
       500:{2,4,6}:{(467,1),(468,1),(472,1),(522,1),(523,1)}
       501:{1,5}:{(468,1),(469,1),(523,1)}
       502:{2,5,6}:{(469,1),(470,1),(474,1),(524,1),(525,1)}
       503:{3,5,7}:{(470,1),(471,1),(475,1),(525,1)}
       504:{3,4,7}:{(472,1),(476,1),(522,1),(526,1),(552,1)}
       505:{2,4,5,7}:{(472,1),(473,1),(477,1),(480,1),(523,1),(526,1),(527,1),(530,1),(545,1),(547,1),(552,1)}
       506:{1,4,6}:{(473,1),(474,1),(481,1),(524,1),(527,1)}
       507:{2,4,6,7}:{(474,1),(475,1),(479,1),(482,1),(525,1),(528,1)}
       508:{3,5}:{(476,1),(477,1),(529,1)}
       509:{2,4,6}:{(477,1),(478,1),(483,1),(529,1),(530,1)}
       510:{1,4,7}:{(478,1),(479,1),(484,1),(530,1),(552,1)}
       511:{2,6}:{(480,1),(481,1)}
       512:{1,3,6,7}:{(481,1),(482,1),(484,1),(489,1),(528,1),(531,1),(548,1)}
       513:{2,5,7}:{(483,1),(484,1),(530,1),(531,1),(532,1)}
       514:{2,6}:{(485,1),(486,1),(532,1)}
       515:{1,3,7}:{(486,1),(487,1),(488,1),(532,1)}
       516:{3,5}:{(490,1),(491,1),(533,1)}
       517:{2,5,6}:{(491,1),(492,1),(495,1),(534,1),(535,1)}
       518:{1,5,7}:{(492,1),(493,1),(496,1),(535,1)}
       519:{3,6}:{(494,1),(495,1)}
       520:{2,4,6,7}:{(495,1),(496,1),(498,1),(499,1),(535,1),(536,1),(549,1)}
       521:{3,7}:{(497,1),(498,1)}
       522:{3,4,6}:{(500,1),(504,1),(537,1),(540,1),(550,1)}
       523:{2,5}:{(500,1),(501,1),(537,1)}
       524:{1,5,6}:{(501,1),(502,1),(506,1),(538,1),(539,1)}
       525:{2,5,7}:{(502,1),(503,1),(507,1),(539,1)}
       526:{3,5,7}:{(504,1),(505,1),(508,1),(537,1),(540,1),(542,1)}
       527:{2,4,6}:{(505,1),(506,1),(511,1),(538,1),(540,1),(550,1)}
       528:{1,4,6,7}:{(506,1),(507,1),(510,1),(512,1),(539,1),(541,1)}
       529:{3,6}:{(508,1),(509,1),(542,1)}
       530:{2,4,7}:{(509,1),(510,1),(513,1),(542,1)}
       531:{2,6,7}:{(511,1),(512,1),(513,1)}
       532:{2,7}:{(514,1),(515,1)}
       533:{4,5}:{(516,1),(543,1)}
       534:{3,5,6}:{(516,1),(517,1),(519,1),(543,1),(544,1)}
       535:{2,5,7}:{(517,1),(518,1),(520,1),(544,1)}
       536:{3,6,7}:{(519,1),(520,1),(521,1),(544,1)}
       537:{3,5}:{(522,1),(523,1),(545,1)}
       538:{2,5,6}:{(523,1),(524,1),(527,1),(546,1),(547,1)}
       539:{1,5,7}:{(524,1),(525,1),(528,1),(547,1)}
       540:{3,6}:{(526,1),(527,1)}
       541:{2,4,6,7}:{(527,1),(528,1),(530,1),(531,1),(547,1),(548,1),(552,1)}
       542:{3,7}:{(529,1),(530,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5,7}:{(534,1),(535,1),(536,1),(549,1)}
       545:{4,5}:{(537,1),(550,1)}
       546:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,5,7}:{(538,1),(539,1),(541,1),(551,1)}
       548:{3,6,7}:{(540,1),(541,1),(542,1),(551,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 356 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(36,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(55,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(56,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(36,1),(46,1),(69,1),(83,1),(103,1),(104,1),(126,1),(137,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(75,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(69,1),(113,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(29,1),(49,1),(55,1),(64,1),(87,1),(88,1),(99,1),(115,1),(119,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(116,1),(117,1),(132,1)}
        12:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(56,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(21,1),(25,1),(27,1),(28,1),(51,1),(59,1),(87,1),(88,1),(116,1),(117,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,6,7}:{(12,1),(31,1),(32,1),(33,1),(67,1),(69,1),(103,1)}
        20:{2,4,5,7}:{(10,1),(13,1),(34,1),(35,1),(36,1),(42,1),(66,1),(70,1),(81,1),(83,1),(101,1),(103,1),(106,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(15,1),(34,1),(36,1),(37,1),(45,1),(114,1),(124,1)}
        22:{1,4,6}:{(10,1),(12,1),(35,1),(37,1),(38,1),(75,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(33,1),(38,1),(39,1),(126,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(36,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(37,1),(41,1),(44,1),(45,1),(71,1),(77,1),(79,1),(81,1),(105,1),(110,1),(112,1),(113,1),(125,1),(128,1),(137,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{1,4,6,7}:{(19,1),(22,1),(47,1),(48,1),(49,1),(85,1),(87,1),(115,1)}
        32:{3,6,7}:{(19,1),(23,1),(50,1),(116,1)}
        33:{2,5,7}:{(19,1),(24,1),(49,1),(50,1)}
        34:{3,5,7}:{(20,1),(25,1),(51,1),(53,1),(61,1),(90,1),(100,1),(116,1)}
        35:{2,4,6}:{(20,1),(22,1),(53,1),(54,1),(56,1),(93,1)}
        36:{2,5,7}:{(21,1),(27,1),(55,1),(56,1),(63,1),(123,1),(131,1)}
        37:{1,3,6}:{(21,1),(22,1),(23,1),(53,1),(56,1)}
        38:{1,5,6}:{(22,1),(24,1),(29,1),(49,1),(54,1),(119,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(50,1),(58,1),(132,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(116,1),(117,1),(131,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(55,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(90,1),(100,1),(119,1),(132,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{2,4,6,7}:{(31,1),(35,1),(65,1),(66,1),(67,1),(101,1),(103,1)}
        48:{1,3,6,7}:{(31,1),(32,1),(37,1),(65,1),(67,1),(68,1),(124,1)}
        49:{1,5,7}:{(31,1),(33,1),(38,1),(66,1)}
        50:{3,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{3,4,7}:{(34,1),(70,1),(71,1),(81,1),(101,1),(113,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(40,1),(70,1),(72,1),(73,1),(80,1),(106,1)}
        53:{3,6}:{(34,1),(35,1)}
        54:{2,5,6}:{(35,1),(38,1),(42,1),(66,1),(74,1),(106,1)}
        55:{1,5,7}:{(36,1),(43,1),(75,1),(82,1),(130,1),(136,1)}
        56:{2,6}:{(36,1),(37,1),(75,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(39,1),(45,1),(68,1),(74,1),(76,1),(77,1),(110,1)}
        58:{4,6}:{(39,1),(46,1),(69,1),(137,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(136,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(125,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(75,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(77,1),(81,1),(83,1),(107,1),(112,1),(130,1),(137,1)}
        65:{3,6,7}:{(47,1),(53,1),(84,1),(116,1)}
        66:{2,5,7}:{(47,1),(49,1),(54,1),(84,1)}
        67:{2,6,7}:{(48,1),(56,1),(85,1),(86,1),(131,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(50,1),(57,1),(84,1),(86,1),(87,1),(116,1)}
        69:{4,7}:{(50,1),(58,1)}
        70:{2,4,7}:{(51,1),(52,1),(88,1),(89,1),(98,1)}
        71:{3,4,6}:{(51,1),(53,1),(89,1),(90,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(55,1),(59,1),(88,1),(91,1),(92,1),(97,1),(117,1),(119,1),(132,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(89,1),(92,1)}
        74:{3,5,6}:{(53,1),(54,1),(61,1),(84,1),(90,1),(93,1)}
        75:{1,6}:{(55,1),(56,1)}
        76:{2,5,6}:{(56,1),(57,1),(63,1),(86,1),(94,1),(95,1)}
        77:{1,4,6}:{(57,1),(58,1),(64,1),(87,1),(93,1),(95,1),(133,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(132,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{3,5,7}:{(65,1),(66,1),(74,1),(101,1)}
        85:{1,6,7}:{(67,1),(75,1),(102,1),(136,1)}
        86:{2,5,7}:{(67,1),(68,1),(76,1),(102,1),(103,1)}
        87:{1,4,7}:{(68,1),(69,1),(77,1),(101,1),(103,1),(136,1)}
        88:{1,4,7}:{(70,1),(72,1),(104,1),(105,1),(112,1),(137,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(105,1),(106,1)}
        90:{3,5}:{(71,1),(106,1),(107,1)}
        91:{2,5,7}:{(72,1),(78,1),(104,1),(108,1),(111,1),(126,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(108,1),(125,1)}
        93:{4,6}:{(74,1),(81,1),(101,1),(107,1)}
        94:{1,5,6}:{(75,1),(76,1),(82,1),(102,1),(109,1)}
        95:{2,4,6}:{(76,1),(77,1),(83,1),(103,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(137,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{4,7}:{(84,1),(93,1)}
       102:{1,5,7}:{(85,1),(86,1),(94,1),(115,1)}
       103:{2,4,7}:{(86,1),(87,1),(95,1),(115,1),(116,1),(131,1)}
       104:{2,4,7}:{(88,1),(91,1),(117,1),(118,1),(121,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(118,1),(119,1)}
       106:{2,5}:{(89,1),(90,1),(119,1)}
       107:{4,5}:{(90,1),(93,1)}
       108:{2,6}:{(91,1),(92,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(115,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(116,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{1,4,7}:{(102,1),(103,1),(109,1),(124,1)}
       116:{3,7}:{(103,1),(110,1)}
       117:{3,7}:{(104,1),(125,1),(128,1)}
       118:{2,4,6}:{(104,1),(105,1),(108,1),(125,1),(126,1),(137,1)}
       119:{1,5}:{(105,1),(106,1),(126,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(124,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{1,3,7}:{(115,1),(116,1),(120,1),(131,1)}
       125:{3,6}:{(117,1),(118,1),(132,1)}
       126:{2,5}:{(118,1),(119,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(131,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{2,7}:{(124,1),(127,1),(136,1)}
       132:{3,5}:{(125,1),(126,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(136,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{1,7}:{(131,1),(133,1)}
       137:{4}:{(132,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 357 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(24,1),(27,1),(31,1),(56,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(56,1),(87,1)}
         2:{2,4,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(17,1),(41,1)}
         3:{3,5}:{(0,1),(9,1),(12,1)}
         4:{3,4,7}:{(0,1),(10,1),(13,1),(42,1),(74,1)}
         5:{1,3,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(32,1),(100,1)}
         6:{2,3,5}:{(1,1),(9,1),(15,1),(17,1),(40,1),(73,1),(76,1)}
         7:{2,3,7}:{(1,1),(10,1),(16,1),(74,1),(101,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(30,1),(55,1)}
         9:{2,5}:{(2,1),(3,1),(19,1)}
        10:{2,4,7}:{(2,1),(4,1),(7,1),(20,1),(23,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(27,1),(56,1),(60,1),(136,1),(144,1),(146,1)}
        12:{4,5}:{(3,1),(24,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(23,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(19,1),(28,1),(30,1),(47,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(20,1),(29,1),(48,1),(113,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,4,6}:{(8,1),(14,1),(32,1),(33,1),(34,1),(45,1),(64,1),(69,1),(96,1)}
        19:{1,5}:{(8,1),(9,1),(33,1)}
        20:{1,4,7}:{(8,1),(10,1),(16,1),(34,1),(37,1)}
        21:{2,5,6}:{(9,1),(11,1),(35,1),(38,1),(39,1),(41,1),(131,1),(142,1)}
        22:{2,4,5}:{(9,1),(12,1),(17,1),(36,1),(38,1),(40,1),(73,1),(120,1),(131,1),(140,1)}
        23:{2,5,7}:{(9,1),(10,1),(13,1),(37,1),(41,1)}
        24:{4,6}:{(11,1),(12,1),(42,1),(140,1)}
        25:{3,5,7}:{(11,1),(39,1),(42,1),(43,1),(74,1),(75,1)}
        26:{4,5,7}:{(12,1),(13,1),(42,1),(44,1),(75,1)}
        27:{3,6}:{(13,1),(41,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(64,1)}
        31:{3,4}:{(17,1),(40,1),(140,1)}
        32:{3,6}:{(18,1),(47,1),(48,1),(61,1)}
        33:{2,5}:{(18,1),(19,1),(47,1),(109,1)}
        34:{2,4,7}:{(18,1),(20,1),(29,1),(48,1),(51,1),(81,1)}
        35:{1,5,6}:{(19,1),(21,1),(49,1),(52,1),(53,1),(55,1),(123,1),(138,1)}
        36:{1,4,5}:{(19,1),(22,1),(30,1),(50,1),(52,1),(54,1),(89,1),(108,1),(123,1)}
        37:{1,5,7}:{(19,1),(20,1),(23,1),(51,1),(55,1)}
        38:{2,4,6}:{(21,1),(22,1),(24,1),(52,1),(56,1),(57,1),(87,1)}
        39:{2,5,7}:{(21,1),(25,1),(53,1),(57,1),(58,1)}
        40:{3,5}:{(22,1),(31,1),(56,1),(129,1)}
        41:{2,6}:{(23,1),(27,1),(55,1)}
        42:{4,7}:{(24,1),(25,1)}
        43:{3,6,7}:{(25,1),(27,1),(58,1),(59,1),(144,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(54,1),(61,1),(62,1),(80,1),(90,1),(108,1),(129,1)}
        47:{3,5}:{(32,1),(33,1),(64,1)}
        48:{3,7}:{(32,1),(34,1)}
        49:{2,5,6}:{(33,1),(35,1),(63,1),(66,1),(67,1),(69,1),(114,1),(133,1)}
        50:{2,4,5}:{(33,1),(36,1),(45,1),(64,1),(66,1),(68,1),(73,1),(91,1),(95,1),(114,1)}
        51:{2,5,7}:{(33,1),(34,1),(37,1),(65,1),(69,1)}
        52:{1,4,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(71,1),(100,1)}
        53:{1,5,7}:{(35,1),(39,1),(67,1),(71,1),(72,1)}
        54:{1,3,5}:{(36,1),(40,1),(46,1),(68,1),(70,1),(73,1)}
        55:{1,6}:{(37,1),(41,1),(69,1)}
        56:{3,6}:{(38,1),(40,1),(74,1)}
        57:{2,4,7}:{(38,1),(39,1),(42,1),(71,1),(74,1),(101,1)}
        58:{2,6,7}:{(39,1),(41,1),(43,1),(72,1),(142,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(75,1),(145,1)}
        60:{5,6}:{(44,1),(75,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(73,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(49,1),(78,1),(79,1),(82,1),(83,1),(103,1),(109,1),(125,1),(126,1)}
        64:{4}:{(47,1)}
        65:{3,5,7}:{(47,1),(48,1),(51,1),(81,1),(82,1),(109,1)}
        66:{2,4,6}:{(49,1),(50,1),(52,1),(78,1),(83,1),(84,1),(87,1)}
        67:{2,5,7}:{(49,1),(53,1),(79,1),(84,1),(85,1)}
        68:{3,5}:{(50,1),(61,1),(80,1),(83,1)}
        69:{2,6}:{(51,1),(55,1),(82,1)}
        70:{1,3,6}:{(52,1),(54,1),(56,1),(83,1),(87,1),(88,1)}
        71:{1,4,7}:{(52,1),(53,1),(57,1),(84,1),(88,1),(113,1)}
        72:{1,6,7}:{(53,1),(55,1),(58,1),(85,1),(138,1)}
        73:{2,5}:{(54,1),(62,1),(87,1),(89,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{5,7}:{(59,1),(60,1),(146,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(129,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(64,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(67,1),(93,1),(94,1),(98,1),(119,1)}
        80:{3,4}:{(64,1),(68,1),(95,1)}
        81:{4,7}:{(64,1),(65,1),(96,1)}
        82:{3,6}:{(65,1),(69,1),(96,1)}
        83:{3,6}:{(66,1),(68,1),(98,1)}
        84:{2,4,7}:{(66,1),(67,1),(71,1),(93,1),(98,1),(101,1)}
        85:{2,6,7}:{(67,1),(69,1),(72,1),(94,1),(133,1)}
        86:{2,3,5}:{(68,1),(73,1),(76,1),(95,1),(97,1),(99,1),(114,1)}
        87:{2,6}:{(70,1),(73,1),(100,1),(101,1)}
        88:{1,3,7}:{(70,1),(71,1),(74,1),(98,1),(101,1)}
        89:{1,5}:{(73,1),(77,1),(100,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(109,1)}
        92:{3,4,6}:{(78,1),(80,1),(83,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(85,1),(107,1),(125,1)}
        95:{2,4}:{(80,1),(86,1),(108,1)}
        96:{4,6}:{(81,1),(82,1),(109,1)}
        97:{2,3,6}:{(83,1),(86,1),(87,1),(105,1),(110,1),(111,1)}
        98:{3,7}:{(83,1),(84,1)}
        99:{1,3,5}:{(86,1),(89,1),(90,1),(108,1),(110,1),(112,1),(123,1),(129,1),(136,1)}
       100:{1,6}:{(87,1),(89,1),(113,1)}
       101:{2,7}:{(87,1),(88,1),(113,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(97,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(98,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(96,1),(116,1),(119,1)}
       108:{1,4}:{(95,1),(99,1),(120,1),(140,1)}
       109:{5}:{(96,1)}
       110:{1,3,6}:{(97,1),(99,1),(100,1),(117,1),(121,1),(122,1),(134,1)}
       111:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(122,1)}
       112:{2,5}:{(99,1),(102,1),(120,1),(121,1)}
       113:{1,7}:{(100,1),(101,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(110,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(111,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(109,1),(126,1)}
       120:{2,4}:{(108,1),(112,1),(129,1)}
       121:{2,6}:{(110,1),(112,1),(130,1)}
       122:{1,3,7}:{(110,1),(111,1),(113,1),(128,1),(130,1),(139,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(121,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(122,1),(132,1),(135,1)}
       129:{3}:{(120,1)}
       130:{2,7}:{(121,1),(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(129,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 358 :   0:{3,4,7}:{(2,1),(3,1),(4,1),(54,1),(80,1)}
         1:{2,3,7}:{(2,1),(5,1),(6,1),(80,1),(103,1)}
         2:{2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1)}
         3:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1)}
         4:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(39,1),(42,1),(67,1)}
         5:{1,3,7}:{(1,1),(7,1),(13,1),(14,1),(28,1),(115,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(67,1),(92,1)}
         7:{1,4,7}:{(2,1),(5,1),(16,1),(17,1),(18,1)}
         8:{2,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1)}
         9:{2,4,6}:{(2,1),(4,1),(6,1),(18,1),(19,1),(20,1),(27,1)}
        10:{4,5,7}:{(3,1),(21,1),(24,1),(53,1),(54,1)}
        11:{3,6}:{(3,1),(19,1),(21,1)}
        12:{3,5}:{(4,1),(20,1),(24,1)}
        13:{2,7}:{(5,1),(25,1)}
        14:{1,3,6}:{(5,1),(6,1),(18,1),(25,1),(26,1),(44,1),(104,1)}
        15:{2,3,5}:{(6,1),(20,1),(26,1),(27,1),(52,1),(79,1),(81,1)}
        16:{2,4,7}:{(7,1),(13,1),(28,1),(29,1),(30,1),(57,1)}
        17:{1,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1)}
        18:{1,4,6}:{(7,1),(9,1),(14,1),(30,1),(31,1),(32,1),(41,1)}
        19:{2,6}:{(8,1),(11,1),(31,1)}
        20:{2,5}:{(9,1),(12,1),(32,1)}
        21:{4,6}:{(10,1),(11,1),(37,1)}
        22:{3,6,7}:{(11,1),(33,1),(36,1),(38,1),(143,1)}
        23:{3,5,6}:{(11,1),(12,1),(34,1),(37,1),(38,1),(39,1),(67,1),(138,1),(143,1),(146,1)}
        24:{4,5}:{(12,1),(39,1),(146,1)}
        25:{2,6}:{(13,1),(14,1),(40,1)}
        26:{1,3,5}:{(14,1),(15,1),(32,1),(40,1),(41,1),(59,1),(68,1),(93,1),(94,1)}
        27:{2,4}:{(15,1),(41,1),(42,1)}
        28:{3,7}:{(16,1),(44,1)}
        29:{2,5,7}:{(16,1),(17,1),(43,1),(45,1),(46,1)}
        30:{2,4,6}:{(16,1),(18,1),(25,1),(44,1),(45,1),(46,1),(55,1),(70,1),(73,1)}
        31:{1,6}:{(17,1),(19,1),(45,1)}
        32:{1,5}:{(18,1),(20,1),(46,1)}
        33:{2,6,7}:{(19,1),(22,1),(47,1),(50,1),(140,1)}
        34:{2,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(51,1),(133,1),(140,1)}
        35:{2,4,5}:{(20,1),(24,1),(27,1),(49,1),(51,1),(52,1),(79,1),(121,1),(133,1),(142,1)}
        36:{4,6,7}:{(21,1),(22,1),(53,1),(54,1),(145,1)}
        37:{5,6}:{(21,1),(53,1)}
        38:{3,5,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(80,1)}
        39:{4,6}:{(23,1),(24,1),(54,1),(142,1)}
        40:{2,5}:{(25,1),(26,1),(55,1),(105,1)}
        41:{1,4}:{(26,1),(27,1),(55,1),(73,1)}
        42:{3,4}:{(27,1),(52,1),(142,1)}
        43:{3,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(84,1)}
        44:{3,6}:{(28,1),(30,1),(59,1),(68,1)}
        45:{2,6}:{(29,1),(31,1),(58,1)}
        46:{2,5}:{(30,1),(32,1),(59,1),(84,1)}
        47:{1,6,7}:{(31,1),(33,1),(60,1),(63,1),(136,1)}
        48:{1,5,6}:{(31,1),(32,1),(34,1),(61,1),(63,1),(64,1),(126,1),(136,1)}
        49:{1,4,5}:{(32,1),(35,1),(41,1),(62,1),(64,1),(65,1),(93,1),(111,1),(126,1)}
        50:{2,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1)}
        51:{2,4,6}:{(34,1),(35,1),(39,1),(64,1),(66,1),(67,1),(92,1)}
        52:{3,5}:{(35,1),(42,1),(67,1),(129,1)}
        53:{5,7}:{(36,1),(37,1),(146,1)}
        54:{4,7}:{(38,1),(39,1)}
        55:{2,4}:{(40,1),(41,1),(68,1)}
        56:{1,3,4}:{(41,1),(42,1),(65,1),(68,1),(69,1),(87,1),(94,1),(111,1),(129,1)}
        57:{4,7}:{(43,1),(70,1),(73,1)}
        58:{3,6}:{(43,1),(45,1),(70,1)}
        59:{3,5}:{(44,1),(46,1),(73,1)}
        60:{2,6,7}:{(45,1),(47,1),(71,1),(74,1),(131,1)}
        61:{2,5,6}:{(45,1),(46,1),(48,1),(72,1),(74,1),(75,1),(118,1),(131,1)}
        62:{2,4,5}:{(46,1),(49,1),(55,1),(73,1),(75,1),(76,1),(79,1),(96,1),(99,1),(118,1)}
        63:{1,5,7}:{(47,1),(48,1),(50,1),(74,1),(77,1)}
        64:{1,4,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(78,1),(104,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(76,1),(78,1),(79,1)}
        66:{2,4,7}:{(50,1),(51,1),(54,1),(77,1),(80,1),(103,1)}
        67:{3,6}:{(51,1),(52,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(79,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(60,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(84,1),(85,1),(86,1),(89,1),(106,1),(108,1),(124,1)}
        73:{4}:{(59,1)}
        74:{2,5,7}:{(60,1),(61,1),(63,1),(85,1),(88,1)}
        75:{2,4,6}:{(61,1),(62,1),(64,1),(86,1),(88,1),(89,1),(92,1)}
        76:{3,5}:{(62,1),(68,1),(87,1),(89,1)}
        77:{1,4,7}:{(63,1),(64,1),(66,1),(88,1),(91,1),(115,1)}
        78:{1,3,6}:{(64,1),(65,1),(67,1),(89,1),(91,1),(92,1)}
        79:{2,5}:{(65,1),(69,1),(92,1),(93,1)}
        80:{3,7}:{(66,1),(67,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(129,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(74,1),(95,1),(97,1),(100,1)}
        86:{4,6}:{(72,1),(73,1),(96,1),(97,1)}
        87:{3,4}:{(73,1),(76,1),(99,1)}
        88:{2,4,7}:{(74,1),(75,1),(77,1),(97,1),(100,1),(103,1)}
        89:{3,6}:{(75,1),(76,1),(100,1)}
        90:{2,3,5}:{(76,1),(79,1),(81,1),(99,1),(101,1),(102,1),(118,1)}
        91:{1,3,7}:{(77,1),(78,1),(80,1),(100,1),(103,1)}
        92:{2,6}:{(78,1),(79,1),(103,1),(104,1)}
        93:{1,5}:{(79,1),(82,1),(104,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(87,1),(89,1),(108,1),(109,1),(110,1),(124,1)}
        99:{2,4}:{(87,1),(90,1),(111,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(110,1),(112,1),(113,1)}
       102:{1,3,5}:{(90,1),(93,1),(94,1),(111,1),(113,1),(114,1),(126,1),(129,1),(138,1)}
       103:{2,7}:{(91,1),(92,1),(115,1)}
       104:{1,6}:{(92,1),(93,1),(115,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(100,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(99,1),(101,1),(118,1),(119,1),(120,1),(131,1)}
       111:{1,4}:{(99,1),(102,1),(121,1),(142,1)}
       112:{2,3,7}:{(100,1),(101,1),(103,1),(119,1),(122,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(120,1),(122,1),(123,1),(135,1)}
       114:{2,5}:{(102,1),(105,1),(121,1),(123,1)}
       115:{1,7}:{(103,1),(104,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(112,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(111,1),(113,1),(126,1),(127,1),(128,1),(136,1)}
       121:{2,4}:{(111,1),(114,1),(129,1)}
       122:{1,3,7}:{(112,1),(113,1),(115,1),(127,1),(130,1),(139,1)}
       123:{2,6}:{(113,1),(114,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(122,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(121,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{3}:{(121,1)}
       130:{2,7}:{(122,1),(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(130,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(129,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 359 :  0:{4,5}:{(3,1),(4,1)}
        1:{3,4}:{(3,1),(5,1)}
        2:{2,3}:{(5,1),(6,1)}
        3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
        4:{4,6}:{(0,1),(8,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(7,1),(11,1)}
        6:{1,3}:{(2,1),(11,1),(12,1),(22,1)}
        7:{2,5}:{(3,1),(5,1),(13,1),(14,1)}
        8:{3,6}:{(3,1),(4,1),(14,1),(15,1)}
        9:{5,6}:{(4,1),(16,1)}
       10:{4,7}:{(4,1),(15,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(13,1),(17,1)}
       12:{2}:{(6,1)}
       13:{1,5}:{(7,1),(11,1),(18,1),(19,1)}
       14:{2,6}:{(7,1),(8,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(10,1),(20,1)}
       16:{5,7}:{(9,1),(10,1),(21,1)}
       17:{2,4}:{(11,1),(12,1),(18,1),(22,1),(26,1)}
       18:{2,5}:{(13,1),(17,1),(23,1),(24,1)}
       19:{1,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,7}:{(14,1),(15,1),(25,1)}
       21:{6,7}:{(16,1)}
       22:{3}:{(17,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 360 :   0:{2,3,5}:{(1,1),(2,1),(3,1),(12,1),(20,1),(39,1),(46,1)}
         1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(28,1),(32,1),(60,1),(67,1),(68,1)}
         2:{2,4}:{(0,1),(6,1),(8,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(61,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(13,1),(20,1),(39,1),(52,1),(106,1),(129,1),(140,1)}
         5:{2,5}:{(1,1),(14,1),(15,1),(86,1)}
         6:{1,4}:{(1,1),(2,1),(14,1),(87,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(17,1),(18,1),(47,1),(81,1)}
         8:{3,4}:{(2,1),(12,1),(140,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(21,1),(54,1)}
        10:{2,3,7}:{(3,1),(18,1),(21,1),(44,1),(82,1)}
        11:{1,4,5}:{(4,1),(6,1),(22,1),(23,1),(24,1),(32,1),(60,1),(91,1),(120,1)}
        12:{3,5}:{(4,1),(8,1),(25,1),(118,1)}
        13:{2,4,6}:{(4,1),(24,1),(25,1),(26,1),(27,1),(61,1),(64,1)}
        14:{2,4}:{(5,1),(6,1),(28,1)}
        15:{2,6}:{(5,1),(7,1),(30,1)}
        16:{1,3,4}:{(6,1),(8,1),(23,1),(28,1),(31,1),(55,1),(67,1),(91,1),(118,1)}
        17:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(32,1),(33,1),(71,1)}
        18:{1,3,7}:{(7,1),(10,1),(30,1),(33,1),(69,1),(101,1)}
        19:{3,4,6}:{(8,1),(9,1),(25,1),(34,1),(35,1),(64,1),(73,1)}
        20:{2,5}:{(9,1),(32,1),(34,1)}
        21:{2,4,7}:{(9,1),(10,1),(33,1),(35,1),(36,1)}
        22:{2,4,5}:{(11,1),(14,1),(37,1),(38,1),(39,1),(48,1),(74,1),(87,1),(108,1),(110,1)}
        23:{1,3,5}:{(11,1),(12,1),(16,1),(37,1),(39,1),(40,1)}
        24:{1,4,6}:{(11,1),(13,1),(38,1),(40,1),(41,1),(42,1),(81,1)}
        25:{3,6}:{(12,1),(13,1),(44,1)}
        26:{2,5,6}:{(13,1),(20,1),(41,1),(43,1),(45,1),(54,1),(129,1),(142,1)}
        27:{2,4,7}:{(13,1),(42,1),(44,1),(45,1),(82,1),(84,1)}
        28:{3}:{(14,1)}
        29:{2,4,6}:{(14,1),(15,1),(17,1),(47,1),(48,1),(49,1),(87,1),(89,1),(117,1)}
        30:{2,7}:{(15,1),(18,1)}
        31:{2,4}:{(16,1),(39,1),(46,1),(50,1),(86,1)}
        32:{1,5}:{(17,1),(20,1),(48,1)}
        33:{1,4,7}:{(17,1),(18,1),(21,1),(49,1),(51,1)}
        34:{3,5}:{(19,1),(20,1),(52,1)}
        35:{3,4,7}:{(19,1),(21,1),(44,1),(53,1),(84,1)}
        36:{2,5,7}:{(20,1),(21,1),(51,1),(53,1),(54,1)}
        37:{3,5}:{(22,1),(28,1),(55,1),(57,1)}
        38:{2,4,6}:{(22,1),(24,1),(57,1),(58,1),(59,1),(61,1),(98,1)}
        39:{2,5}:{(23,1),(31,1),(60,1),(61,1)}
        40:{1,3,6}:{(23,1),(24,1),(25,1),(57,1),(61,1),(62,1)}
        41:{1,5,6}:{(24,1),(26,1),(32,1),(58,1),(63,1),(71,1),(120,1),(138,1)}
        42:{1,4,7}:{(24,1),(27,1),(59,1),(62,1),(63,1),(101,1)}
        43:{3,5,6}:{(25,1),(26,1),(34,1),(64,1),(65,1),(73,1),(105,1),(135,1),(144,1),(146,1)}
        44:{3,7}:{(25,1),(27,1)}
        45:{2,5,7}:{(26,1),(27,1),(63,1),(65,1),(66,1)}
        46:{2,3}:{(28,1),(31,1),(67,1),(118,1)}
        47:{3,6}:{(28,1),(29,1),(68,1),(69,1)}
        48:{2,5}:{(29,1),(32,1),(68,1),(127,1)}
        49:{2,4,7}:{(29,1),(30,1),(33,1),(69,1),(70,1),(103,1)}
        50:{1,4}:{(31,1),(60,1),(67,1)}
        51:{1,5,7}:{(32,1),(33,1),(36,1),(70,1),(71,1)}
        52:{4,5}:{(34,1),(64,1),(146,1)}
        53:{3,5,7}:{(34,1),(35,1),(36,1),(72,1),(73,1)}
        54:{2,6}:{(36,1),(71,1),(73,1)}
        55:{3,4}:{(37,1),(74,1),(87,1)}
        56:{2,3,5}:{(37,1),(39,1),(46,1),(74,1),(76,1),(77,1),(108,1)}
        57:{3,6}:{(37,1),(38,1),(79,1)}
        58:{2,5,6}:{(38,1),(41,1),(48,1),(78,1),(80,1),(89,1),(108,1),(132,1)}
        59:{2,4,7}:{(38,1),(42,1),(79,1),(80,1),(82,1),(114,1)}
        60:{1,5}:{(39,1),(50,1),(81,1)}
        61:{2,6}:{(39,1),(40,1),(81,1),(82,1)}
        62:{1,3,7}:{(40,1),(42,1),(44,1),(79,1),(82,1)}
        63:{1,5,7}:{(41,1),(42,1),(45,1),(80,1),(83,1)}
        64:{4,6}:{(43,1),(52,1),(84,1),(140,1)}
        65:{3,5,7}:{(43,1),(44,1),(45,1),(84,1),(85,1),(116,1)}
        66:{2,6,7}:{(45,1),(54,1),(83,1),(85,1),(142,1)}
        67:{1,3}:{(46,1),(50,1),(86,1)}
        68:{3,5}:{(47,1),(48,1),(87,1)}
        69:{3,7}:{(47,1),(49,1)}
        70:{2,5,7}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        71:{1,6}:{(51,1),(54,1),(89,1)}
        72:{4,5,7}:{(52,1),(53,1),(84,1),(90,1),(116,1)}
        73:{3,6}:{(53,1),(54,1),(90,1)}
        74:{2,4}:{(55,1),(56,1),(91,1)}
        75:{3,4,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(98,1),(124,1)}
        76:{1,3,5}:{(56,1),(60,1),(67,1),(91,1),(95,1),(96,1),(118,1),(120,1),(135,1)}
        77:{2,3,6}:{(56,1),(57,1),(61,1),(92,1),(96,1),(97,1)}
        78:{3,5,6}:{(57,1),(58,1),(68,1),(93,1),(98,1),(99,1),(104,1),(124,1),(127,1),(139,1)}
        79:{3,7}:{(57,1),(59,1)}
        80:{2,5,7}:{(58,1),(59,1),(63,1),(99,1),(100,1)}
        81:{1,6}:{(60,1),(61,1),(101,1)}
        82:{2,7}:{(61,1),(62,1),(101,1)}
        83:{1,6,7}:{(63,1),(66,1),(71,1),(100,1),(138,1)}
        84:{4,7}:{(64,1),(65,1)}
        85:{3,6,7}:{(65,1),(66,1),(73,1),(102,1),(144,1)}
        86:{2}:{(67,1)}
        87:{4}:{(68,1)}
        88:{3,5,7}:{(68,1),(69,1),(70,1),(103,1),(104,1),(127,1)}
        89:{2,6}:{(70,1),(71,1),(104,1)}
        90:{4,6}:{(72,1),(73,1),(105,1)}
        91:{1,4}:{(74,1),(76,1),(106,1),(140,1)}
        92:{2,4,6}:{(74,1),(75,1),(77,1),(107,1),(108,1),(109,1),(132,1)}
        93:{3,5}:{(75,1),(108,1),(110,1)}
        94:{3,4,7}:{(75,1),(79,1),(109,1),(111,1),(114,1)}
        95:{2,5}:{(76,1),(86,1),(106,1),(112,1)}
        96:{1,3,6}:{(76,1),(77,1),(81,1),(107,1),(112,1),(113,1),(128,1)}
        97:{2,3,7}:{(77,1),(79,1),(82,1),(109,1),(113,1)}
        98:{4,6}:{(78,1),(87,1),(110,1),(114,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(114,1),(115,1),(134,1)}
       100:{2,6,7}:{(80,1),(83,1),(89,1),(115,1),(132,1)}
       101:{1,7}:{(81,1),(82,1)}
       102:{4,6,7}:{(84,1),(85,1),(90,1),(116,1),(145,1)}
       103:{4,7}:{(87,1),(88,1),(117,1)}
       104:{3,6}:{(88,1),(89,1),(117,1)}
       105:{5,6}:{(90,1),(116,1)}
       106:{2,4}:{(91,1),(95,1),(118,1)}
       107:{1,4,6}:{(91,1),(92,1),(96,1),(119,1),(120,1),(121,1),(138,1)}
       108:{2,5}:{(92,1),(93,1),(120,1)}
       109:{2,4,7}:{(92,1),(94,1),(97,1),(121,1),(122,1)}
       110:{4,5}:{(93,1),(98,1),(127,1)}
       111:{3,5,7}:{(93,1),(94,1),(122,1),(123,1),(124,1)}
       112:{2,6}:{(95,1),(96,1),(125,1)}
       113:{1,3,7}:{(96,1),(97,1),(101,1),(121,1),(125,1),(136,1)}
       114:{4,7}:{(98,1),(99,1)}
       115:{3,6,7}:{(99,1),(100,1),(104,1),(124,1),(126,1)}
       116:{5,7}:{(102,1),(105,1),(146,1)}
       117:{4,6}:{(103,1),(104,1),(127,1)}
       118:{3}:{(106,1)}
       119:{2,4,6}:{(106,1),(107,1),(112,1),(128,1),(129,1),(130,1),(140,1),(142,1),(145,1)}
       120:{1,5}:{(107,1),(108,1),(129,1)}
       121:{1,4,7}:{(107,1),(109,1),(113,1),(130,1),(131,1)}
       122:{2,5,7}:{(108,1),(109,1),(111,1),(131,1),(132,1)}
       123:{4,5,7}:{(110,1),(111,1),(114,1),(133,1),(134,1)}
       124:{3,6}:{(111,1),(132,1),(133,1)}
       125:{2,7}:{(112,1),(113,1)}
       126:{4,6,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{5}:{(117,1)}
       128:{3,6}:{(118,1),(119,1),(135,1),(136,1)}
       129:{2,5}:{(119,1),(120,1),(135,1),(146,1)}
       130:{2,4,7}:{(119,1),(121,1),(125,1),(136,1),(137,1),(143,1)}
       131:{1,5,7}:{(120,1),(121,1),(122,1),(137,1),(138,1)}
       132:{2,6}:{(122,1),(124,1),(138,1)}
       133:{4,6}:{(123,1),(124,1),(139,1)}
       134:{5,7}:{(126,1),(127,1),(139,1)}
       135:{3,5}:{(128,1),(129,1),(140,1)}
       136:{3,7}:{(128,1),(130,1)}
       137:{2,5,7}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
       138:{1,6}:{(131,1),(132,1),(142,1)}
       139:{5,6}:{(133,1),(134,1)}
       140:{4}:{(135,1)}
       141:{3,5,7}:{(135,1),(136,1),(137,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 361 :  0:{1,2}:{(3,1)}
        1:{2,3}:{(3,1),(4,1)}
        2:{3,4}:{(4,1),(5,1)}
        3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
        4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
        6:{2,3}:{(3,1),(11,1)}
        7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
        8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
        9:{4,5}:{(5,1),(14,1)}
       10:{3,6}:{(5,1),(13,1),(14,1),(15,1)}
       11:{2,4}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{2,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,6}:{(9,1),(10,1),(20,1),(21,1)}
       15:{3,7}:{(10,1),(19,1),(21,1)}
       16:{3,4}:{(11,1),(22,1)}
       17:{2,5}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{5,6}:{(14,1),(25,1)}
       21:{4,7}:{(14,1),(15,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(26,1),(27,1)}
       23:{2,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,7}:{(18,1),(19,1),(28,1)}
       25:{5,7}:{(20,1),(21,1),(29,1)}
       26:{4,5}:{(22,1),(30,1)}
       27:{3,6}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,7}:{(23,1),(24,1),(31,1)}
       29:{6,7}:{(25,1)}
       30:{4,6}:{(26,1),(27,1),(32,1),(33,1)}
       31:{3,7}:{(27,1),(28,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 362 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 363 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 364 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 365 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(6,1),(24,1),(28,1),(52,1),(92,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(24,1),(28,1),(32,1),(58,1),(71,1),(95,1),(96,1),(103,1),(122,1),(134,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(34,1),(38,1),(47,1),(72,1),(74,1),(107,1)}
         3:{2,4,7}:{(0,1),(9,1),(11,1),(12,1),(108,1)}
         4:{2,3,6}:{(0,1),(10,1),(12,1),(17,1),(48,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(13,1),(14,1),(15,1),(38,1),(46,1),(47,1),(77,1),(78,1),(87,1),(109,1),(113,1),(114,1)}
         6:{3,5,7}:{(1,1),(11,1),(17,1),(39,1),(110,1),(111,1),(115,1),(128,1)}
         7:{2,4,6}:{(1,1),(15,1),(17,1),(18,1),(48,1),(51,1)}
         8:{2,5,7}:{(2,1),(19,1),(20,1),(54,1),(90,1),(117,1)}
         9:{1,4,7}:{(2,1),(3,1),(19,1),(22,1),(93,1),(118,1)}
        10:{1,3,6}:{(2,1),(4,1),(20,1),(22,1),(53,1),(68,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(71,1),(119,1),(134,1)}
        12:{2,4,6}:{(3,1),(4,1),(22,1),(23,1),(24,1)}
        13:{2,4,5,7}:{(5,1),(19,1),(25,1),(26,1),(28,1),(54,1),(59,1),(62,1),(93,1),(95,1),(98,1),(99,1),(100,1),(103,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(21,1),(25,1),(28,1),(29,1),(57,1),(120,1),(123,1)}
        15:{1,4,6}:{(5,1),(7,1),(26,1),(29,1),(30,1),(68,1)}
        16:{2,4,6,7}:{(7,1),(27,1),(31,1),(32,1),(66,1),(71,1),(103,1)}
        17:{3,6}:{(6,1),(7,1)}
        18:{2,5,6}:{(7,1),(24,1),(30,1),(32,1),(33,1),(122,1)}
        19:{2,4,7}:{(8,1),(9,1),(34,1),(35,1),(125,1)}
        20:{2,6}:{(8,1),(10,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(14,1),(34,1),(36,1),(37,1),(40,1),(72,1),(78,1),(87,1),(111,1),(115,1),(126,1)}
        22:{1,4,6}:{(9,1),(10,1),(12,1),(35,1),(38,1)}
        23:{3,4,6}:{(11,1),(12,1),(17,1),(39,1),(51,1)}
        24:{2,5}:{(12,1),(38,1),(39,1)}
        25:{3,5,7}:{(13,1),(34,1),(40,1),(43,1),(74,1),(80,1),(110,1),(115,1)}
        26:{2,4,6}:{(13,1),(15,1),(43,1),(44,1),(48,1),(84,1)}
        27:{1,4,6,7}:{(15,1),(16,1),(41,1),(45,1),(46,1),(85,1),(87,1),(114,1)}
        28:{2,5,7}:{(14,1),(36,1),(47,1),(48,1),(76,1),(127,1),(129,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(43,1),(48,1)}
        30:{1,5,6}:{(15,1),(18,1),(38,1),(44,1),(46,1),(113,1)}
        31:{3,6,7}:{(16,1),(17,1),(50,1),(115,1)}
        32:{2,5,7}:{(16,1),(18,1),(46,1),(50,1)}
        33:{3,5,6}:{(17,1),(18,1),(39,1),(50,1),(51,1),(128,1)}
        34:{3,7}:{(19,1),(53,1),(131,1)}
        35:{2,4,6}:{(19,1),(20,1),(22,1),(53,1),(54,1),(93,1)}
        36:{2,4,7}:{(21,1),(28,1),(52,1),(55,1),(56,1),(90,1),(132,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(23,1),(29,1),(53,1),(56,1),(57,1),(60,1),(70,1),(91,1),(93,1),(97,1),(105,1),(118,1),(119,1),(121,1),(131,1),(134,1)}
        38:{1,5}:{(22,1),(24,1),(54,1)}
        39:{3,5}:{(23,1),(24,1),(58,1)}
        40:{3,4,7}:{(25,1),(59,1),(60,1),(93,1),(100,1),(119,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(61,1),(62,1),(66,1),(100,1),(103,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(52,1),(59,1),(63,1),(64,1),(92,1),(98,1)}
        43:{3,6}:{(25,1),(26,1)}
        44:{2,5,6}:{(26,1),(30,1),(54,1),(62,1),(65,1),(98,1)}
        45:{1,3,6,7}:{(27,1),(29,1),(31,1),(61,1),(66,1),(67,1),(123,1)}
        46:{1,5,7}:{(27,1),(30,1),(32,1),(62,1)}
        47:{1,5,7}:{(28,1),(55,1),(68,1),(94,1),(133,1),(135,1)}
        48:{2,6}:{(28,1),(29,1),(68,1)}
        49:{1,3,5,6}:{(29,1),(30,1),(33,1),(57,1),(65,1),(67,1),(69,1),(70,1),(105,1)}
        50:{3,5,7}:{(31,1),(32,1),(33,1),(71,1)}
        51:{4,6}:{(33,1),(58,1),(71,1),(134,1)}
        52:{2,3,7}:{(34,1),(36,1),(72,1),(73,1),(111,1),(115,1),(129,1),(136,1)}
        53:{3,6}:{(34,1),(35,1),(74,1)}
        54:{2,5}:{(35,1),(38,1),(74,1)}
        55:{1,4,7}:{(36,1),(47,1),(72,1),(75,1),(137,1)}
        56:{2,4,6}:{(36,1),(37,1),(48,1),(73,1),(75,1),(76,1),(106,1),(108,1),(125,1)}
        57:{1,3,5}:{(37,1),(38,1),(39,1),(74,1),(76,1),(77,1),(80,1),(110,1),(113,1),(128,1)}
        58:{4,5}:{(39,1),(51,1)}
        59:{2,4,7}:{(40,1),(42,1),(78,1),(79,1),(108,1)}
        60:{3,4,6}:{(40,1),(43,1),(79,1),(80,1),(84,1)}
        61:{3,6,7}:{(41,1),(43,1),(81,1),(115,1)}
        62:{2,5,7}:{(41,1),(44,1),(46,1),(81,1)}
        63:{1,3,5,7}:{(42,1),(47,1),(72,1),(78,1),(82,1),(83,1),(107,1),(111,1),(113,1),(128,1)}
        64:{2,3,6}:{(42,1),(43,1),(48,1),(79,1),(83,1)}
        65:{3,5,6}:{(43,1),(44,1),(74,1),(80,1),(81,1),(84,1)}
        66:{2,6,7}:{(45,1),(48,1),(85,1),(86,1),(129,1)}
        67:{1,3,5,7}:{(45,1),(46,1),(49,1),(50,1),(81,1),(86,1),(87,1),(115,1)}
        68:{1,6}:{(47,1),(48,1)}
        69:{2,5,6}:{(48,1),(49,1),(76,1),(86,1),(88,1),(89,1)}
        70:{1,4,6}:{(49,1),(51,1),(77,1),(84,1),(87,1),(89,1),(130,1)}
        71:{4,7}:{(50,1),(51,1)}
        72:{1,3,7}:{(52,1),(55,1),(90,1),(91,1),(135,1),(138,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(91,1),(92,1),(105,1),(121,1),(124,1),(131,1)}
        74:{3,5}:{(53,1),(54,1),(93,1)}
        75:{1,4,6}:{(55,1),(56,1),(68,1),(91,1),(94,1),(118,1)}
        76:{2,5}:{(56,1),(57,1),(94,1)}
        77:{1,4,5}:{(57,1),(58,1),(70,1),(93,1),(95,1),(99,1),(118,1),(133,1),(134,1)}
        78:{1,4,7}:{(59,1),(63,1),(96,1),(97,1),(118,1),(134,1)}
        79:{2,4,6}:{(59,1),(60,1),(64,1),(97,1),(98,1)}
        80:{3,5}:{(60,1),(98,1),(99,1)}
        81:{3,5,7}:{(61,1),(62,1),(65,1),(100,1)}
        82:{2,5,7}:{(63,1),(90,1),(96,1),(101,1),(117,1),(122,1)}
        83:{1,3,6}:{(63,1),(64,1),(68,1),(97,1),(101,1),(121,1)}
        84:{4,6}:{(65,1),(93,1),(99,1),(100,1)}
        85:{1,6,7}:{(66,1),(68,1),(102,1),(135,1)}
        86:{2,5,7}:{(66,1),(67,1),(69,1),(102,1),(103,1)}
        87:{1,4,7}:{(67,1),(70,1),(71,1),(100,1),(103,1),(135,1)}
        88:{1,5,6}:{(68,1),(69,1),(94,1),(102,1),(104,1)}
        89:{2,4,6}:{(69,1),(70,1),(95,1),(103,1),(104,1),(105,1),(124,1)}
        90:{2,7}:{(72,1),(106,1),(139,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(106,1),(107,1),(130,1)}
        92:{2,3,5}:{(73,1),(74,1),(76,1),(107,1),(108,1),(110,1),(127,1),(128,1),(136,1)}
        93:{4}:{(74,1)}
        94:{1,5}:{(75,1),(76,1)}
        95:{2,4,5}:{(76,1),(77,1),(89,1),(108,1),(109,1),(110,1),(125,1),(127,1)}
        96:{2,4,7}:{(78,1),(82,1),(111,1),(112,1),(125,1)}
        97:{1,4,6}:{(78,1),(79,1),(83,1),(112,1),(113,1)}
        98:{2,5}:{(79,1),(80,1),(113,1)}
        99:{4,5}:{(80,1),(84,1)}
       100:{4,7}:{(81,1),(84,1)}
       101:{2,6}:{(82,1),(83,1)}
       102:{1,5,7}:{(85,1),(86,1),(88,1),(114,1)}
       103:{2,4,7}:{(86,1),(87,1),(89,1),(114,1),(115,1),(129,1)}
       104:{1,4,6}:{(88,1),(89,1),(109,1),(114,1),(116,1)}
       105:{3,6}:{(89,1),(110,1),(115,1)}
       106:{2,6}:{(90,1),(91,1),(117,1)}
       107:{1,3,5}:{(91,1),(92,1),(94,1),(117,1),(118,1),(131,1),(133,1),(138,1)}
       108:{2,4}:{(92,1),(93,1),(118,1),(119,1),(134,1)}
       109:{1,4,5}:{(94,1),(95,1),(104,1),(118,1),(120,1)}
       110:{3,5}:{(95,1),(105,1),(119,1),(131,1)}
       111:{3,7}:{(96,1),(121,1),(131,1)}
       112:{2,4,6}:{(96,1),(97,1),(101,1),(121,1),(122,1),(134,1)}
       113:{1,5}:{(97,1),(98,1),(122,1)}
       114:{1,4,7}:{(102,1),(103,1),(104,1),(123,1)}
       115:{3,7}:{(103,1),(105,1)}
       116:{1,3,6}:{(104,1),(105,1),(120,1),(123,1),(124,1)}
       117:{2,5}:{(106,1),(107,1),(125,1),(139,1)}
       118:{1,4}:{(107,1),(108,1),(125,1)}
       119:{3,4}:{(108,1),(110,1)}
       120:{1,3,5}:{(109,1),(110,1),(116,1),(126,1),(127,1)}
       121:{3,6}:{(111,1),(112,1),(128,1)}
       122:{2,5}:{(112,1),(113,1),(128,1)}
       123:{1,3,7}:{(114,1),(115,1),(116,1),(129,1)}
       124:{2,6}:{(116,1),(127,1),(129,1),(130,1)}
       125:{2,4}:{(117,1),(118,1),(131,1)}
       126:{1,3,4}:{(118,1),(119,1),(120,1),(131,1),(132,1),(138,1)}
       127:{2,5}:{(120,1),(124,1),(132,1),(133,1)}
       128:{3,5}:{(121,1),(122,1),(134,1)}
       129:{2,7}:{(123,1),(124,1),(135,1)}
       130:{1,6}:{(124,1),(133,1),(135,1)}
       131:{3}:{(125,1)}
       132:{2,4}:{(126,1),(127,1),(136,1),(137,1),(139,1)}
       133:{1,5}:{(127,1),(130,1),(137,1)}
       134:{4}:{(128,1)}
       135:{1,7}:{(129,1),(130,1)}
       136:{2,3}:{(131,1),(132,1),(138,1)}
       137:{1,4}:{(132,1),(133,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 366 :   0:{2,4,5,6}:{(1,1),(2,1),(3,1),(14,1),(18,1),(114,1),(138,1),(139,1),(211,1),(312,1),(323,1),(426,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(38,1),(76,1),(174,1),(184,1),(255,1),(279,1)}
         2:{3,5,6}:{(0,1),(7,1),(9,1),(158,1),(260,1),(378,1)}
         3:{2,4,5,7}:{(0,1),(6,1),(9,1),(10,1),(32,1),(39,1),(103,1),(104,1),(159,1),(263,1),(380,1)}
         4:{2,4,5,6}:{(1,1),(11,1),(12,1),(14,1),(46,1),(65,1),(147,1),(202,1),(203,1),(235,1),(246,1),(349,1)}
         5:{1,3,5,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(222,1),(335,1)}
         6:{1,4,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(57,1),(66,1),(115,1),(146,1),(210,1)}
         7:{3,4,6}:{(2,1),(17,1),(18,1),(19,1),(426,1)}
         8:{2,3,5,6}:{(2,1),(14,1),(18,1),(20,1),(21,1),(53,1),(59,1),(134,1),(138,1)}
         9:{3,5,7}:{(2,1),(3,1),(19,1),(22,1),(208,1)}
        10:{2,4,6,7}:{(3,1),(16,1),(22,1),(23,1),(58,1),(72,1),(323,1)}
        11:{3,5,6}:{(4,1),(24,1),(26,1),(100,1),(189,1),(299,1)}
        12:{2,4,5,7}:{(4,1),(6,1),(26,1),(27,1),(32,1),(77,1),(101,1),(161,1),(162,1),(192,1),(301,1)}
        13:{1,3,4,6}:{(5,1),(7,1),(24,1),(28,1),(29,1),(30,1),(38,1),(76,1),(85,1),(100,1),(158,1)}
        14:{2,5,6}:{(5,1),(29,1),(31,1),(32,1),(274,1),(392,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(9,1),(26,1),(30,1),(32,1),(33,1)}
        16:{1,4,6,7}:{(6,1),(10,1),(27,1),(33,1),(34,1),(91,1),(279,1)}
        17:{3,4,5}:{(7,1),(35,1),(260,1),(395,1),(473,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1),(39,1)}
        19:{3,4,7}:{(7,1),(9,1),(39,1),(380,1)}
        20:{1,3,5,6}:{(8,1),(31,1),(38,1),(41,1),(42,1),(85,1),(92,1),(100,1),(180,1),(184,1),(291,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(32,1),(39,1),(42,1),(43,1),(86,1),(103,1)}
        22:{3,6,7}:{(9,1),(10,1),(378,1)}
        23:{2,5,6,7}:{(10,1),(34,1),(44,1),(103,1),(263,1),(382,1)}
        24:{3,4,6}:{(11,1),(45,1),(46,1),(47,1),(349,1)}
        25:{2,3,5,6}:{(11,1),(14,1),(46,1),(48,1),(49,1),(53,1),(108,1),(198,1),(202,1)}
        26:{3,5,7}:{(11,1),(12,1),(47,1),(50,1),(144,1)}
        27:{2,4,6,7}:{(12,1),(16,1),(50,1),(51,1),(58,1),(121,1),(246,1)}
        28:{1,3,4,5}:{(13,1),(17,1),(45,1),(52,1),(60,1),(109,1),(123,1),(135,1),(199,1),(217,1),(222,1)}
        29:{2,4,6}:{(13,1),(14,1),(52,1),(53,1),(54,1),(55,1),(125,1)}
        30:{1,3,4,7}:{(13,1),(15,1),(19,1),(47,1),(55,1),(66,1),(115,1),(126,1),(144,1),(208,1)}
        31:{1,5,6}:{(14,1),(54,1),(57,1),(330,1),(443,1)}
        32:{2,5,7}:{(14,1),(15,1),(55,1),(57,1),(58,1)}
        33:{1,3,6,7}:{(15,1),(16,1),(22,1),(50,1),(58,1),(335,1)}
        34:{1,5,6,7}:{(16,1),(23,1),(51,1),(146,1),(210,1),(337,1)}
        35:{2,4,5}:{(17,1),(18,1),(59,1),(60,1),(338,1)}
        36:{3,4,5,7}:{(17,1),(19,1),(61,1),(62,1),(68,1),(319,1),(435,1),(446,1),(517,1)}
        37:{2,3,4,6}:{(18,1),(53,1),(59,1),(63,1),(64,1),(122,1),(134,1),(207,1),(220,1),(236,1),(338,1),(449,1)}
        38:{1,4,6}:{(18,1),(20,1),(60,1),(65,1),(66,1),(349,1)}
        39:{2,4,7}:{(18,1),(19,1),(21,1),(66,1)}
        40:{3,4,6,7}:{(19,1),(22,1),(62,1),(67,1),(68,1),(72,1)}
        41:{2,5,6}:{(20,1),(65,1),(70,1),(125,1),(132,1),(231,1)}
        42:{1,3,5,7}:{(20,1),(21,1),(57,1),(66,1),(70,1),(71,1),(126,1),(144,1),(146,1),(244,1)}
        43:{2,3,6,7}:{(21,1),(22,1),(58,1),(67,1),(71,1),(134,1)}
        44:{3,5,6,7}:{(22,1),(23,1),(68,1),(72,1),(321,1),(434,1)}
        45:{3,4,5}:{(24,1),(73,1),(189,1),(407,1),(461,1)}
        46:{2,4,6}:{(24,1),(25,1),(73,1),(76,1),(77,1)}
        47:{3,4,7}:{(24,1),(26,1),(77,1),(301,1)}
        48:{1,3,5,6}:{(25,1),(31,1),(76,1),(79,1),(80,1),(85,1),(150,1),(158,1),(251,1),(255,1),(370,1)}
        49:{2,3,5,7}:{(25,1),(26,1),(32,1),(77,1),(80,1),(81,1),(86,1),(161,1)}
        50:{3,6,7}:{(26,1),(27,1),(299,1)}
        51:{2,5,6,7}:{(27,1),(34,1),(82,1),(161,1),(192,1),(303,1)}
        52:{2,4,5}:{(28,1),(29,1),(83,1),(84,1),(167,1),(270,1),(274,1)}
        53:{2,3,6}:{(29,1),(83,1),(85,1),(86,1),(100,1),(158,1)}
        54:{1,4,6}:{(29,1),(31,1),(84,1),(85,1),(88,1)}
        55:{2,4,7}:{(29,1),(30,1),(32,1),(86,1),(88,1),(171,1)}
        56:{1,2,5,6}:{(31,1),(41,1),(79,1),(87,1),(89,1),(90,1),(169,1),(177,1),(248,1),(274,1),(284,1),(363,1),(389,1),(392,1),(408,1),(474,1)}
        57:{1,5,7}:{(31,1),(32,1),(88,1),(91,1)}
        58:{2,6,7}:{(32,1),(33,1),(91,1),(392,1)}
        59:{2,3,5}:{(35,1),(37,1),(92,1),(260,1),(274,1),(491,1)}
        60:{1,4,5}:{(35,1),(38,1),(92,1),(94,1),(282,1),(407,1)}
        61:{2,4,5,7}:{(35,1),(36,1),(39,1),(93,1),(95,1),(96,1),(103,1),(397,1),(491,1)}
        62:{3,4,6}:{(36,1),(96,1),(97,1),(378,1),(480,1)}
        63:{1,3,4,6}:{(37,1),(38,1),(85,1),(92,1),(98,1),(99,1),(100,1),(166,1),(180,1),(181,1),(185,1),(272,1),(282,1),(290,1),(401,1)}
        64:{2,3,4,7}:{(37,1),(39,1),(86,1),(93,1),(99,1),(261,1),(275,1),(293,1),(397,1)}
        65:{2,4,6}:{(38,1),(41,1),(94,1),(100,1),(101,1)}
        66:{1,4,7}:{(38,1),(39,1),(42,1),(101,1),(301,1)}
        67:{2,4,6,7}:{(39,1),(40,1),(43,1),(96,1),(102,1),(103,1)}
        68:{3,5,7}:{(40,1),(97,1),(103,1),(104,1)}
        69:{2,3,5,6}:{(41,1),(89,1),(100,1),(105,1),(106,1),(170,1),(178,1),(189,1),(274,1),(287,1),(291,1),(299,1),(303,1),(360,1),(392,1),(404,1),(464,1),(474,1),(521,1),(526,1),(546,1)}
        70:{2,5,7}:{(41,1),(42,1),(101,1),(107,1),(171,1)}
        71:{1,3,6,7}:{(42,1),(43,1),(91,1),(102,1),(107,1),(180,1),(191,1)}
        72:{4,6,7}:{(44,1),(104,1),(380,1),(480,1)}
        73:{2,4,5}:{(45,1),(46,1),(108,1),(109,1),(415,1)}
        74:{3,4,5,7}:{(45,1),(47,1),(110,1),(111,1),(117,1),(242,1),(358,1),(498,1),(539,1)}
        75:{2,3,4,6}:{(46,1),(53,1),(108,1),(112,1),(113,1),(122,1),(143,1),(198,1),(220,1),(313,1),(415,1),(501,1)}
        76:{1,4,6}:{(46,1),(48,1),(109,1),(114,1),(115,1),(426,1)}
        77:{2,4,7}:{(46,1),(47,1),(49,1),(115,1)}
        78:{3,4,6,7}:{(47,1),(50,1),(111,1),(116,1),(117,1),(121,1)}
        79:{2,5,6}:{(48,1),(114,1),(119,1),(125,1),(196,1),(308,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(57,1),(115,1),(119,1),(120,1),(126,1),(208,1),(210,1),(321,1)}
        81:{2,3,6,7}:{(49,1),(50,1),(58,1),(116,1),(120,1),(198,1)}
        82:{3,5,6,7}:{(50,1),(51,1),(117,1),(121,1),(244,1),(357,1)}
        83:{2,3,5}:{(52,1),(53,1),(122,1),(123,1),(135,1),(199,1)}
        84:{1,4,5}:{(52,1),(54,1),(123,1),(327,1),(330,1)}
        85:{1,3,6}:{(53,1),(54,1),(123,1),(125,1),(126,1)}
        86:{2,3,7}:{(53,1),(55,1),(126,1),(144,1),(208,1)}
        87:{1,2,4,6}:{(54,1),(56,1),(65,1),(114,1),(124,1),(125,1),(127,1),(128,1),(129,1),(220,1),(440,1),(447,1),(499,1),(513,1)}
        88:{1,4,7}:{(54,1),(55,1),(57,1),(126,1)}
        89:{1,3,5,6}:{(56,1),(69,1),(118,1),(127,1),(129,1),(130,1),(218,1),(222,1),(227,1),(304,1),(330,1),(335,1),(337,1),(342,1),(419,1),(443,1),(452,1),(504,1)}
        90:{1,2,5,7}:{(56,1),(57,1),(70,1),(119,1),(128,1),(130,1),(131,1),(219,1),(333,1),(442,1),(457,1),(509,1)}
        91:{1,6,7}:{(57,1),(58,1),(443,1)}
        92:{1,3,5}:{(59,1),(60,1),(63,1),(132,1),(135,1),(330,1),(348,1),(452,1)}
        93:{2,3,5,7}:{(59,1),(61,1),(64,1),(133,1),(134,1),(319,1),(333,1)}
        94:{2,4,5}:{(60,1),(65,1),(132,1),(135,1),(229,1)}
        95:{1,4,5,7}:{(60,1),(61,1),(66,1),(133,1),(136,1),(137,1),(146,1),(341,1),(452,1)}
        96:{2,4,6}:{(61,1),(62,1),(134,1),(137,1),(138,1)}
        97:{3,5,6}:{(62,1),(68,1),(138,1),(139,1),(517,1)}
        98:{2,4,6}:{(63,1),(125,1),(132,1),(141,1),(142,1),(214,1),(229,1),(231,1)}
        99:{1,3,4,7}:{(63,1),(64,1),(66,1),(126,1),(133,1),(142,1),(144,1),(233,1),(238,1),(331,1),(341,1)}
       100:{3,6}:{(65,1),(135,1),(144,1)}
       101:{2,4,7}:{(65,1),(66,1),(70,1),(144,1)}
       102:{1,4,6,7}:{(66,1),(67,1),(71,1),(137,1),(145,1),(146,1)}
       103:{2,5,7}:{(67,1),(68,1),(138,1),(146,1)}
       104:{4,5,7}:{(68,1),(72,1),(139,1)}
       105:{2,4,6}:{(69,1),(129,1),(143,1),(147,1),(148,1),(229,1),(349,1),(415,1),(551,1)}
       106:{2,3,5,7}:{(69,1),(70,1),(130,1),(144,1),(148,1),(149,1),(221,1),(242,1),(244,1),(247,1),(333,1),(509,1),(537,1),(550,1)}
       107:{2,6,7}:{(70,1),(71,1),(231,1)}
       108:{2,3,5}:{(73,1),(75,1),(150,1),(189,1),(274,1),(526,1)}
       109:{1,4,5}:{(73,1),(76,1),(150,1),(152,1),(361,1),(473,1)}
       110:{2,4,5,7}:{(73,1),(74,1),(77,1),(151,1),(153,1),(154,1),(161,1),(463,1),(526,1)}
       111:{3,4,6}:{(74,1),(154,1),(155,1),(299,1),(414,1)}
       112:{1,3,4,6}:{(75,1),(76,1),(85,1),(150,1),(156,1),(157,1),(158,1),(166,1),(251,1),(252,1),(256,1),(272,1),(361,1),(369,1),(467,1)}
       113:{2,3,4,7}:{(75,1),(77,1),(86,1),(151,1),(157,1),(190,1),(275,1),(372,1),(463,1)}
       114:{2,4,6}:{(76,1),(79,1),(152,1),(158,1),(159,1)}
       115:{1,4,7}:{(76,1),(77,1),(80,1),(159,1),(380,1)}
       116:{2,4,6,7}:{(77,1),(78,1),(81,1),(154,1),(160,1),(161,1)}
       117:{3,5,7}:{(78,1),(155,1),(161,1),(162,1)}
       118:{2,3,5,6}:{(79,1),(89,1),(158,1),(163,1),(164,1),(170,1),(249,1),(260,1),(274,1),(281,1),(366,1),(370,1),(378,1),(382,1),(392,1),(398,1),(408,1),(470,1),(486,1),(491,1),(534,1)}
       119:{2,5,7}:{(79,1),(80,1),(159,1),(165,1),(171,1)}
       120:{1,3,6,7}:{(80,1),(81,1),(91,1),(160,1),(165,1),(251,1),(262,1)}
       121:{4,6,7}:{(82,1),(162,1),(301,1),(414,1)}
       122:{2,3,4}:{(83,1),(166,1),(181,1),(252,1),(270,1),(383,1)}
       123:{1,3,5}:{(83,1),(84,1),(85,1),(166,1),(167,1)}
       124:{1,2,4,5}:{(84,1),(87,1),(94,1),(152,1),(167,1),(168,1),(174,1),(177,1),(248,1),(267,1),(270,1),(274,1),(282,1),(361,1),(386,1),(396,1),(462,1),(481,1)}
       125:{2,6}:{(85,1),(167,1),(171,1)}
       126:{1,3,7}:{(85,1),(86,1),(88,1),(171,1)}
       127:{1,3,6}:{(87,1),(100,1),(158,1),(168,1),(170,1),(173,1),(486,1),(521,1)}
       128:{1,2,4,7}:{(87,1),(88,1),(90,1),(101,1),(159,1),(171,1),(173,1),(175,1),(275,1),(484,1),(489,1),(524,1),(532,1)}
       129:{1,4,6}:{(89,1),(105,1),(163,1),(174,1),(175,1),(282,1),(361,1)}
       130:{1,3,5,7}:{(89,1),(90,1),(106,1),(164,1),(173,1),(175,1),(176,1),(273,1),(280,1),(390,1)}
       131:{1,2,6,7}:{(90,1),(91,1),(107,1),(165,1),(176,1),(284,1),(363,1),(392,1),(485,1),(496,1),(531,1)}
       132:{2,5}:{(92,1),(98,1)}
       133:{1,3,5,7}:{(92,1),(93,1),(95,1),(99,1),(179,1),(180,1),(182,1),(390,1)}
       134:{2,3,6}:{(93,1),(96,1),(180,1),(378,1),(392,1)}
       135:{3,5}:{(94,1),(100,1),(181,1)}
       136:{2,4,5,7}:{(94,1),(95,1),(101,1),(179,1),(182,1),(183,1),(192,1),(286,1),(301,1),(404,1),(407,1)}
       137:{1,4,6}:{(95,1),(96,1),(180,1),(183,1),(184,1)}
       138:{2,5,6}:{(96,1),(97,1),(103,1),(184,1),(491,1)}
       139:{4,5,6}:{(97,1),(104,1),(480,1),(535,1)}
       140:{1,2,4,6}:{(98,1),(169,1),(177,1),(185,1),(186,1),(267,1),(272,1),(282,1),(284,1),(292,1),(401,1)}
       141:{2,3,6}:{(98,1),(100,1),(178,1),(185,1),(188,1),(268,1)}
       142:{2,4,7}:{(98,1),(99,1),(171,1),(179,1),(188,1)}
       143:{3,4,6}:{(100,1),(105,1),(181,1),(189,1),(190,1),(299,1),(461,1),(521,1)}
       144:{3,7}:{(100,1),(101,1)}
       145:{2,4,6,7}:{(101,1),(102,1),(107,1),(183,1),(191,1),(192,1),(301,1)}
       146:{1,5,7}:{(102,1),(103,1),(184,1),(192,1)}
       147:{2,4,5}:{(105,1),(174,1),(189,1),(274,1),(404,1),(407,1),(526,1),(547,1)}
       148:{2,4,7}:{(105,1),(106,1),(175,1),(190,1),(301,1),(552,1)}
       149:{2,3,6,7}:{(106,1),(107,1),(176,1),(191,1),(195,1),(287,1),(299,1),(392,1),(464,1),(531,1),(545,1)}
       150:{1,3,5}:{(108,1),(109,1),(112,1),(196,1),(199,1),(330,1),(425,1),(504,1)}
       151:{2,3,5,7}:{(108,1),(110,1),(113,1),(197,1),(198,1),(242,1),(333,1)}
       152:{2,4,5}:{(109,1),(114,1),(196,1),(199,1),(306,1)}
       153:{1,4,5,7}:{(109,1),(110,1),(115,1),(197,1),(200,1),(201,1),(210,1),(418,1),(504,1)}
       154:{2,4,6}:{(110,1),(111,1),(198,1),(201,1),(202,1)}
       155:{3,5,6}:{(111,1),(117,1),(202,1),(203,1),(539,1)}
       156:{2,4,6}:{(112,1),(125,1),(196,1),(205,1),(206,1),(214,1),(306,1),(308,1)}
       157:{1,3,4,7}:{(112,1),(113,1),(115,1),(126,1),(197,1),(206,1),(208,1),(310,1),(315,1),(331,1),(418,1)}
       158:{3,6}:{(114,1),(199,1),(208,1)}
       159:{2,4,7}:{(114,1),(115,1),(119,1),(208,1)}
       160:{1,4,6,7}:{(115,1),(116,1),(120,1),(201,1),(209,1),(210,1)}
       161:{2,5,7}:{(116,1),(117,1),(202,1),(210,1)}
       162:{4,5,7}:{(117,1),(121,1),(203,1)}
       163:{2,4,6}:{(118,1),(129,1),(207,1),(211,1),(212,1),(306,1),(338,1),(426,1),(544,1)}
       164:{2,3,5,7}:{(118,1),(119,1),(130,1),(208,1),(212,1),(213,1),(221,1),(319,1),(321,1),(324,1),(333,1),(457,1),(515,1),(543,1)}
       165:{2,6,7}:{(119,1),(120,1),(308,1)}
       166:{1,3,4}:{(122,1),(123,1),(214,1),(325,1),(327,1)}
       167:{2,5}:{(123,1),(125,1),(214,1)}
       168:{1,3,5}:{(124,1),(127,1),(135,1),(199,1),(216,1),(217,1),(325,1),(445,1),(497,1)}
       169:{1,2,6}:{(125,1),(215,1),(218,1),(219,1),(513,1)}
       170:{2,3,6}:{(125,1),(127,1),(216,1),(218,1),(220,1),(221,1),(513,1)}
       171:{2,7}:{(125,1),(126,1)}
       172:{1,3,4,6}:{(127,1),(129,1),(143,1),(207,1),(217,1),(220,1),(222,1),(223,1),(335,1)}
       173:{1,3,7}:{(127,1),(128,1),(144,1),(208,1),(221,1),(515,1),(537,1)}
       174:{1,4,5}:{(129,1),(147,1),(211,1),(222,1),(330,1),(452,1),(504,1)}
       175:{1,4,7}:{(129,1),(130,1),(148,1),(212,1)}
       176:{1,3,6,7}:{(130,1),(131,1),(149,1),(213,1),(226,1),(335,1),(342,1),(419,1),(443,1)}
       177:{1,2,5}:{(132,1),(140,1),(227,1),(330,1),(350,1),(452,1)}
       178:{2,3,5}:{(132,1),(135,1),(141,1),(227,1),(229,1)}
       179:{2,5,7}:{(132,1),(133,1),(142,1),(231,1)}
       180:{1,3,6}:{(133,1),(134,1),(137,1),(231,1),(234,1),(443,1)}
       181:{3,4}:{(135,1),(229,1)}
       182:{3,5,7}:{(135,1),(136,1),(144,1),(233,1),(234,1),(348,1)}
       183:{2,4,6}:{(136,1),(137,1),(231,1),(234,1),(235,1),(349,1)}
       184:{1,5,6}:{(137,1),(138,1),(146,1),(235,1),(452,1)}
       185:{1,3,6}:{(140,1),(141,1),(227,1),(236,1),(238,1),(325,1)}
       186:{1,2,4,7}:{(140,1),(142,1),(219,1),(228,1),(238,1),(331,1),(341,1),(351,1)}
       187:{2,3,4,6}:{(141,1),(143,1),(220,1),(229,1),(237,1),(239,1),(240,1),(326,1),(343,1),(345,1),(355,1),(439,1)}
       188:{2,3,7}:{(141,1),(142,1),(144,1),(238,1)}
       189:{3,5}:{(143,1),(147,1)}
       190:{3,4,7}:{(143,1),(144,1),(148,1),(242,1),(537,1)}
       191:{3,6,7}:{(144,1),(145,1),(234,1),(244,1)}
       192:{2,5,7}:{(145,1),(146,1),(235,1),(244,1)}
       193:{2,4,5,6}:{(147,1),(224,1),(241,1),(245,1),(246,1),(332,1),(343,1),(454,1),(456,1),(499,1),(541,1),(551,1)}
       194:{2,4,5,7}:{(147,1),(148,1),(225,1),(242,1),(246,1),(247,1),(333,1),(358,1)}
       195:{2,4,6,7}:{(148,1),(149,1),(226,1),(243,1),(246,1),(247,1),(345,1),(501,1)}
       196:{2,5}:{(150,1),(156,1)}
       197:{1,3,5,7}:{(150,1),(151,1),(153,1),(157,1),(250,1),(251,1),(253,1),(390,1)}
       198:{2,3,6}:{(151,1),(154,1),(251,1),(299,1),(392,1)}
       199:{3,5}:{(152,1),(158,1),(252,1)}
       200:{2,4,5,7}:{(152,1),(153,1),(159,1),(250,1),(253,1),(254,1),(263,1),(365,1),(380,1),(470,1),(473,1)}
       201:{1,4,6}:{(153,1),(154,1),(251,1),(254,1),(255,1)}
       202:{2,5,6}:{(154,1),(155,1),(161,1),(255,1),(526,1)}
       203:{4,5,6}:{(155,1),(162,1),(414,1),(547,1)}
       204:{1,2,4,6}:{(156,1),(169,1),(248,1),(256,1),(257,1),(267,1),(272,1),(361,1),(363,1),(371,1),(467,1)}
       205:{2,3,6}:{(156,1),(158,1),(249,1),(256,1),(259,1),(268,1)}
       206:{2,4,7}:{(156,1),(157,1),(171,1),(250,1),(259,1)}
       207:{3,4,6}:{(158,1),(163,1),(252,1),(260,1),(261,1),(378,1),(395,1),(486,1)}
       208:{3,7}:{(158,1),(159,1)}
       209:{2,4,6,7}:{(159,1),(160,1),(165,1),(254,1),(262,1),(263,1),(380,1)}
       210:{1,5,7}:{(160,1),(161,1),(255,1),(263,1)}
       211:{2,4,5}:{(163,1),(174,1),(260,1),(274,1),(470,1),(473,1),(491,1),(535,1)}
       212:{2,4,7}:{(163,1),(164,1),(175,1),(261,1),(380,1),(549,1)}
       213:{2,3,6,7}:{(164,1),(165,1),(176,1),(262,1),(266,1),(366,1),(378,1),(392,1),(398,1),(496,1),(533,1)}
       214:{2,4}:{(166,1),(167,1),(268,1)}
       215:{1,2,5}:{(167,1),(169,1),(267,1),(269,1),(481,1)}
       216:{2,3,5}:{(167,1),(168,1),(170,1),(268,1),(269,1),(270,1),(274,1),(383,1),(481,1)}
       217:{1,3,4}:{(168,1),(181,1),(252,1),(270,1),(282,1),(361,1),(395,1),(461,1)}
       218:{1,3,6}:{(169,1),(170,1),(269,1),(272,1),(273,1)}
       219:{1,2,7}:{(169,1),(171,1),(273,1),(532,1)}
       220:{2,4,6}:{(170,1),(172,1),(270,1),(272,1),(274,1),(275,1),(392,1)}
       221:{2,3,7}:{(170,1),(171,1),(173,1),(273,1),(275,1),(532,1)}
       222:{1,3,5}:{(172,1),(174,1),(189,1),(260,1),(274,1)}
       223:{1,3,4,7}:{(172,1),(173,1),(175,1),(190,1),(261,1),(275,1),(277,1)}
       224:{1,4,5,6}:{(174,1),(193,1),(264,1),(276,1),(278,1),(279,1),(389,1),(399,1),(465,1),(493,1),(528,1)}
       225:{1,4,5,7}:{(174,1),(175,1),(194,1),(265,1),(277,1),(279,1),(280,1),(390,1)}
       226:{1,4,6,7}:{(175,1),(176,1),(195,1),(266,1),(279,1),(280,1),(401,1),(467,1)}
       227:{1,3,5}:{(177,1),(178,1),(185,1),(281,1),(282,1)}
       228:{1,2,5,7}:{(177,1),(179,1),(186,1),(283,1),(284,1),(390,1),(409,1)}
       229:{2,4}:{(178,1),(181,1),(282,1)}
       230:{2,3,5,7}:{(178,1),(179,1),(182,1),(188,1),(283,1),(286,1),(287,1),(404,1)}
       231:{2,6}:{(179,1),(180,1)}
       232:{3,4,5}:{(181,1),(189,1),(285,1),(288,1),(547,1)}
       233:{3,4,7}:{(181,1),(182,1),(286,1),(290,1),(301,1)}
       234:{3,6}:{(182,1),(183,1)}
       235:{2,5,6}:{(183,1),(184,1),(192,1),(291,1),(404,1)}
       236:{2,3,6}:{(185,1),(281,1),(292,1),(293,1),(383,1),(486,1)}
       237:{1,3,4,6}:{(185,1),(187,1),(272,1),(282,1),(292,1),(294,1),(295,1),(384,1),(395,1),(399,1),(401,1),(411,1),(482,1),(486,1),(488,1)}
       238:{1,3,7}:{(185,1),(186,1),(188,1),(293,1)}
       239:{2,3,5}:{(187,1),(189,1),(274,1),(285,1),(294,1),(404,1)}
       240:{2,3,4,7}:{(187,1),(188,1),(190,1),(275,1),(286,1),(295,1),(297,1),(402,1),(483,1)}
       241:{3,5,6}:{(189,1),(193,1),(288,1),(298,1),(299,1),(521,1)}
       242:{3,5,7}:{(189,1),(190,1),(194,1),(299,1)}
       243:{3,4,6,7}:{(190,1),(191,1),(195,1),(290,1),(299,1),(300,1),(301,1),(414,1),(523,1),(545,1),(552,1)}
       244:{3,5,7}:{(191,1),(192,1),(291,1),(301,1)}
       245:{2,4,5,7}:{(193,1),(278,1),(298,1),(302,1),(391,1),(402,1),(494,1),(495,1),(524,1),(548,1),(552,1)}
       246:{2,4,6}:{(194,1),(279,1),(299,1),(303,1),(392,1),(414,1)}
       247:{2,5,7}:{(195,1),(280,1),(300,1),(303,1),(404,1),(526,1)}
       248:{1,2,5}:{(196,1),(204,1),(304,1),(330,1),(427,1),(504,1)}
       249:{2,3,5}:{(196,1),(199,1),(205,1),(304,1),(306,1)}
       250:{2,5,7}:{(196,1),(197,1),(206,1),(308,1)}
       251:{1,3,6}:{(197,1),(198,1),(201,1),(308,1),(311,1),(443,1)}
       252:{3,4}:{(199,1),(306,1)}
       253:{3,5,7}:{(199,1),(200,1),(208,1),(310,1),(311,1),(425,1)}
       254:{2,4,6}:{(200,1),(201,1),(308,1),(311,1),(312,1),(426,1)}
       255:{1,5,6}:{(201,1),(202,1),(210,1),(312,1),(504,1)}
       256:{1,3,6}:{(204,1),(205,1),(304,1),(313,1),(315,1),(325,1)}
       257:{1,2,4,7}:{(204,1),(206,1),(219,1),(305,1),(315,1),(331,1),(418,1),(428,1)}
       258:{2,3,4,6}:{(205,1),(207,1),(220,1),(306,1),(314,1),(316,1),(317,1),(326,1),(420,1),(422,1),(432,1),(439,1)}
       259:{2,3,7}:{(205,1),(206,1),(208,1),(315,1)}
       260:{3,5}:{(207,1),(211,1)}
       261:{3,4,7}:{(207,1),(208,1),(212,1),(319,1),(515,1)}
       262:{3,6,7}:{(208,1),(209,1),(311,1),(321,1)}
       263:{2,5,7}:{(209,1),(210,1),(312,1),(321,1)}
       264:{2,4,5,6}:{(211,1),(224,1),(318,1),(322,1),(323,1),(332,1),(420,1),(447,1),(506,1),(508,1),(519,1),(544,1)}
       265:{2,4,5,7}:{(211,1),(212,1),(225,1),(319,1),(323,1),(324,1),(333,1),(435,1)}
       266:{2,4,6,7}:{(212,1),(213,1),(226,1),(320,1),(323,1),(324,1),(422,1),(449,1)}
       267:{1,2,4}:{(214,1),(215,1),(325,1),(327,1),(437,1)}
       268:{2,3}:{(214,1),(325,1)}
       269:{1,3,5}:{(215,1),(216,1),(218,1),(325,1),(327,1),(330,1)}
       270:{2,4}:{(216,1),(217,1),(327,1)}
       271:{1,3,4,5}:{(217,1),(222,1),(232,1),(309,1),(328,1),(329,1),(340,1),(417,1),(438,1),(445,1),(497,1)}
       272:{1,4,6}:{(218,1),(220,1),(327,1),(330,1),(331,1),(443,1)}
       273:{1,3,7}:{(218,1),(219,1),(221,1),(331,1)}
       274:{2,5}:{(220,1),(222,1),(330,1)}
       275:{2,4,7}:{(220,1),(221,1),(223,1),(331,1),(333,1)}
       276:{1,3,5,6}:{(222,1),(224,1),(241,1),(318,1),(329,1),(332,1),(334,1),(335,1)}
       277:{1,3,5,7}:{(222,1),(223,1),(225,1),(242,1),(319,1),(333,1),(335,1)}
       278:{1,4,5,7}:{(224,1),(245,1),(322,1),(334,1),(336,1),(442,1),(450,1),(502,1),(520,1),(542,1)}
       279:{1,4,6}:{(225,1),(246,1),(323,1),(335,1),(337,1),(443,1)}
       280:{1,5,7}:{(226,1),(247,1),(324,1),(337,1),(452,1),(504,1)}
       281:{2,3,5}:{(227,1),(236,1),(338,1),(350,1),(445,1)}
       282:{1,4}:{(227,1),(229,1),(338,1)}
       283:{1,3,5,7}:{(227,1),(228,1),(230,1),(238,1),(339,1),(341,1),(342,1),(452,1)}
       284:{1,2,6}:{(228,1),(231,1),(342,1),(443,1),(458,1)}
       285:{2,4,5}:{(229,1),(232,1),(239,1),(340,1),(343,1)}
       286:{2,4,7}:{(229,1),(230,1),(233,1),(341,1),(345,1)}
       287:{2,3,6}:{(230,1),(231,1),(234,1),(342,1),(345,1)}
       288:{3,4,6}:{(232,1),(241,1),(343,1),(346,1),(551,1)}
       289:{3,4,5,7}:{(232,1),(233,1),(242,1),(344,1),(346,1),(347,1),(348,1),(358,1),(455,1)}
       290:{3,4,6}:{(233,1),(234,1),(345,1),(348,1),(349,1)}
       291:{3,5,6}:{(234,1),(235,1),(244,1),(348,1),(349,1)}
       292:{2,4,6}:{(236,1),(237,1),(338,1),(350,1),(351,1),(437,1),(458,1),(513,1)}
       293:{2,3,7}:{(236,1),(238,1),(351,1),(515,1)}
       294:{1,3,5}:{(237,1),(239,1),(330,1),(340,1),(350,1),(445,1),(452,1),(517,1)}
       295:{1,3,4,7}:{(237,1),(238,1),(240,1),(331,1),(341,1),(351,1),(353,1),(446,1),(450,1),(514,1),(515,1)}
       296:{2,3,5,6}:{(239,1),(241,1),(332,1),(343,1),(352,1),(354,1),(355,1),(439,1),(454,1)}
       297:{2,3,5,7}:{(239,1),(240,1),(242,1),(333,1),(344,1),(353,1),(355,1)}
       298:{3,5,7}:{(241,1),(245,1),(346,1),(356,1),(537,1)}
       299:{3,6}:{(242,1),(246,1)}
       300:{3,5,7}:{(243,1),(247,1),(348,1),(357,1),(358,1),(539,1)}
       301:{4,7}:{(244,1),(349,1)}
       302:{2,4,6,7}:{(245,1),(246,1),(336,1),(356,1),(359,1),(444,1),(460,1)}
       303:{2,5,6}:{(246,1),(247,1),(337,1),(357,1)}
       304:{1,3,5}:{(248,1),(249,1),(256,1),(360,1),(361,1)}
       305:{1,2,5,7}:{(248,1),(250,1),(257,1),(362,1),(363,1),(390,1),(475,1)}
       306:{2,4}:{(249,1),(252,1),(361,1)}
       307:{2,3,5,7}:{(249,1),(250,1),(253,1),(259,1),(362,1),(365,1),(366,1),(470,1)}
       308:{2,6}:{(250,1),(251,1)}
       309:{3,4,5}:{(252,1),(260,1),(364,1),(367,1),(535,1)}
       310:{3,4,7}:{(252,1),(253,1),(365,1),(369,1),(380,1)}
       311:{3,6}:{(253,1),(254,1)}
       312:{2,5,6}:{(254,1),(255,1),(263,1),(370,1),(470,1)}
       313:{2,3,6}:{(256,1),(360,1),(371,1),(372,1),(383,1),(521,1)}
       314:{1,3,4,6}:{(256,1),(258,1),(272,1),(361,1),(371,1),(373,1),(374,1),(384,1),(461,1),(465,1),(467,1),(477,1),(482,1),(521,1),(523,1)}
       315:{1,3,7}:{(256,1),(257,1),(259,1),(372,1)}
       316:{2,3,5}:{(258,1),(260,1),(274,1),(364,1),(373,1),(470,1)}
       317:{2,3,4,7}:{(258,1),(259,1),(261,1),(275,1),(365,1),(374,1),(376,1),(468,1),(483,1)}
       318:{3,5,6}:{(260,1),(264,1),(367,1),(377,1),(378,1),(486,1)}
       319:{3,5,7}:{(260,1),(261,1),(265,1),(378,1)}
       320:{3,4,6,7}:{(261,1),(262,1),(266,1),(369,1),(378,1),(379,1),(380,1),(480,1),(488,1),(533,1),(549,1)}
       321:{3,5,7}:{(262,1),(263,1),(370,1),(380,1)}
       322:{2,4,5,7}:{(264,1),(278,1),(377,1),(381,1),(391,1),(468,1),(489,1),(529,1),(530,1),(536,1),(549,1)}
       323:{2,4,6}:{(265,1),(279,1),(378,1),(382,1),(392,1),(480,1)}
       324:{2,5,7}:{(266,1),(280,1),(379,1),(382,1),(470,1),(491,1)}
       325:{1,3}:{(267,1),(268,1),(383,1)}
       326:{2,3,4}:{(268,1),(270,1),(384,1),(385,1),(395,1),(461,1)}
       327:{1,4}:{(269,1),(270,1)}
       328:{2,4,5}:{(270,1),(271,1),(274,1),(385,1),(386,1),(387,1),(481,1)}
       329:{1,3,4,6}:{(271,1),(276,1),(288,1),(367,1),(387,1),(388,1),(399,1),(465,1),(482,1),(486,1),(521,1)}
       330:{1,5}:{(272,1),(274,1)}
       331:{1,4,7}:{(272,1),(273,1),(275,1),(390,1)}
       332:{2,5,6}:{(274,1),(276,1),(387,1),(389,1),(391,1),(392,1)}
       333:{2,5,7}:{(274,1),(275,1),(277,1),(390,1),(392,1)}
       334:{1,3,5,7}:{(276,1),(278,1),(298,1),(377,1),(388,1),(391,1),(393,1)}
       335:{1,3,6}:{(277,1),(279,1),(299,1),(378,1),(392,1)}
       336:{1,4,6,7}:{(278,1),(279,1),(302,1),(381,1),(393,1),(394,1),(485,1)}
       337:{1,5,6}:{(279,1),(280,1),(303,1),(382,1)}
       338:{2,4}:{(281,1),(282,1),(395,1)}
       339:{2,3,5,7}:{(281,1),(283,1),(293,1),(397,1),(398,1),(409,1),(487,1),(491,1)}
       340:{1,4,5}:{(282,1),(285,1),(294,1),(396,1),(399,1),(535,1)}
       341:{1,4,7}:{(282,1),(283,1),(286,1),(397,1),(401,1)}
       342:{1,3,6}:{(283,1),(284,1),(287,1),(398,1),(401,1)}
       343:{2,4,6}:{(285,1),(288,1),(296,1),(399,1),(402,1)}
       344:{2,4,5,7}:{(285,1),(286,1),(289,1),(297,1),(400,1),(402,1),(403,1),(404,1),(494,1)}
       345:{2,4,6}:{(286,1),(287,1),(290,1),(401,1),(404,1)}
       346:{3,4,7}:{(288,1),(298,1),(402,1),(552,1)}
       347:{3,4,6}:{(289,1),(299,1),(403,1),(406,1),(414,1)}
       348:{3,5}:{(290,1),(404,1),(407,1)}
       349:{4,6}:{(291,1),(301,1),(407,1)}
       350:{2,5}:{(292,1),(294,1)}
       351:{2,4,7}:{(292,1),(293,1),(295,1),(409,1),(532,1)}
       352:{1,3,5,6}:{(294,1),(296,1),(389,1),(399,1),(408,1),(410,1),(411,1),(482,1),(486,1),(493,1),(534,1)}
       353:{1,3,5,7}:{(294,1),(295,1),(297,1),(390,1),(400,1),(409,1),(411,1),(487,1)}
       354:{2,3,5,7}:{(296,1),(298,1),(391,1),(402,1),(410,1),(412,1),(483,1),(494,1)}
       355:{2,3,6}:{(297,1),(299,1),(392,1),(403,1),(411,1)}
       356:{3,6,7}:{(298,1),(299,1),(302,1)}
       357:{3,5,6}:{(299,1),(300,1),(303,1),(414,1)}
       358:{4,5,7}:{(300,1),(301,1),(407,1),(414,1),(547,1),(552,1)}
       359:{2,5,6,7}:{(302,1),(303,1),(394,1),(413,1),(494,1),(548,1)}
       360:{2,3,5}:{(304,1),(313,1),(415,1),(427,1),(497,1)}
       361:{1,4}:{(304,1),(306,1),(415,1)}
       362:{1,3,5,7}:{(304,1),(305,1),(307,1),(315,1),(416,1),(418,1),(419,1),(504,1)}
       363:{1,2,6}:{(305,1),(308,1),(419,1),(443,1),(510,1)}
       364:{2,4,5}:{(306,1),(309,1),(316,1),(417,1),(420,1)}
       365:{2,4,7}:{(306,1),(307,1),(310,1),(418,1),(422,1)}
       366:{2,3,6}:{(307,1),(308,1),(311,1),(419,1),(422,1)}
       367:{3,4,6}:{(309,1),(318,1),(420,1),(423,1),(544,1)}
       368:{3,4,5,7}:{(309,1),(310,1),(319,1),(421,1),(423,1),(424,1),(425,1),(435,1),(507,1)}
       369:{3,4,6}:{(310,1),(311,1),(422,1),(425,1),(426,1)}
       370:{3,5,6}:{(311,1),(312,1),(321,1),(425,1),(426,1)}
       371:{2,4,6}:{(313,1),(314,1),(415,1),(427,1),(428,1),(437,1),(510,1),(513,1)}
       372:{2,3,7}:{(313,1),(315,1),(428,1),(537,1)}
       373:{1,3,5}:{(314,1),(316,1),(330,1),(417,1),(427,1),(497,1),(504,1),(539,1)}
       374:{1,3,4,7}:{(314,1),(315,1),(317,1),(331,1),(418,1),(428,1),(430,1),(498,1),(502,1),(514,1),(537,1)}
       375:{2,3,5,6}:{(316,1),(318,1),(332,1),(420,1),(429,1),(431,1),(432,1),(439,1),(506,1)}
       376:{2,3,5,7}:{(316,1),(317,1),(319,1),(333,1),(421,1),(430,1),(432,1)}
       377:{3,5,7}:{(318,1),(322,1),(423,1),(433,1),(515,1)}
       378:{3,6}:{(319,1),(323,1)}
       379:{3,5,7}:{(320,1),(324,1),(425,1),(434,1),(435,1),(517,1)}
       380:{4,7}:{(321,1),(426,1)}
       381:{2,4,6,7}:{(322,1),(323,1),(336,1),(433,1),(436,1),(444,1),(512,1)}
       382:{2,5,6}:{(323,1),(324,1),(337,1),(434,1)}
       383:{2,3}:{(325,1),(437,1)}
       384:{1,3,4}:{(325,1),(326,1),(327,1),(437,1),(438,1)}
       385:{2,3,5}:{(326,1),(328,1),(438,1),(439,1),(445,1),(497,1)}
       386:{1,4,5}:{(327,1),(328,1),(330,1),(438,1),(440,1)}
       387:{2,4,6}:{(328,1),(329,1),(332,1),(439,1),(440,1),(441,1),(513,1)}
       388:{1,3,4,7}:{(329,1),(334,1),(346,1),(423,1),(441,1),(450,1),(502,1),(514,1),(515,1),(537,1)}
       389:{1,5,6}:{(330,1),(332,1),(440,1),(442,1),(443,1)}
       390:{1,5,7}:{(330,1),(331,1),(333,1),(443,1)}
       391:{2,5,7}:{(332,1),(334,1),(441,1),(442,1),(444,1)}
       392:{2,6}:{(333,1),(335,1),(443,1)}
       393:{1,3,6,7}:{(334,1),(335,1),(336,1),(356,1),(433,1),(444,1)}
       394:{1,5,6,7}:{(336,1),(337,1),(359,1),(436,1),(520,1),(542,1)}
       395:{3,4}:{(338,1),(445,1)}
       396:{2,4,5}:{(338,1),(340,1),(350,1),(445,1),(447,1)}
       397:{2,4,7}:{(338,1),(339,1),(341,1),(446,1),(449,1)}
       398:{2,3,6}:{(339,1),(342,1),(449,1),(458,1),(516,1)}
       399:{1,4,6}:{(340,1),(343,1),(352,1),(447,1),(450,1),(544,1)}
       400:{1,4,5,7}:{(340,1),(341,1),(344,1),(353,1),(448,1),(450,1),(451,1),(452,1),(520,1)}
       401:{1,4,6}:{(341,1),(342,1),(345,1),(449,1),(452,1)}
       402:{2,4,7}:{(343,1),(346,1),(354,1),(450,1)}
       403:{2,4,6}:{(344,1),(347,1),(355,1),(451,1),(454,1)}
       404:{2,5}:{(345,1),(348,1),(452,1)}
       405:{3,4,6,7}:{(346,1),(347,1),(356,1),(453,1),(455,1),(460,1)}
       406:{3,5,6}:{(347,1),(348,1),(454,1),(455,1),(456,1)}
       407:{4,5}:{(348,1),(349,1)}
       408:{2,5,6}:{(350,1),(352,1),(447,1),(457,1),(458,1),(513,1)}
       409:{2,5,7}:{(350,1),(351,1),(353,1),(458,1)}
       410:{1,3,5,7}:{(352,1),(354,1),(442,1),(450,1),(457,1),(459,1),(514,1),(515,1),(520,1),(543,1)}
       411:{1,3,6}:{(353,1),(355,1),(443,1),(451,1),(458,1),(516,1)}
       412:{2,3,6,7}:{(354,1),(355,1),(356,1),(444,1),(453,1),(459,1)}
       413:{3,5,6,7}:{(356,1),(357,1),(359,1),(455,1),(460,1),(550,1)}
       414:{4,6}:{(357,1),(358,1)}
       415:{2,4}:{(360,1),(361,1),(461,1)}
       416:{2,3,5,7}:{(360,1),(362,1),(372,1),(463,1),(464,1),(475,1),(522,1),(526,1)}
       417:{1,4,5}:{(361,1),(364,1),(373,1),(462,1),(465,1),(547,1)}
       418:{1,4,7}:{(361,1),(362,1),(365,1),(463,1),(467,1)}
       419:{1,3,6}:{(362,1),(363,1),(366,1),(464,1),(467,1)}
       420:{2,4,6}:{(364,1),(367,1),(375,1),(465,1),(468,1)}
       421:{2,4,5,7}:{(364,1),(365,1),(368,1),(376,1),(466,1),(468,1),(469,1),(470,1),(529,1)}
       422:{2,4,6}:{(365,1),(366,1),(369,1),(467,1),(470,1)}
       423:{3,4,7}:{(367,1),(377,1),(468,1),(549,1)}
       424:{3,4,6}:{(368,1),(378,1),(469,1),(472,1),(480,1)}
       425:{3,5}:{(369,1),(470,1),(473,1)}
       426:{4,6}:{(370,1),(380,1),(473,1)}
       427:{2,5}:{(371,1),(373,1)}
       428:{2,4,7}:{(371,1),(372,1),(374,1),(475,1),(532,1)}
       429:{1,3,5,6}:{(373,1),(375,1),(389,1),(465,1),(474,1),(476,1),(477,1),(482,1),(521,1),(528,1),(546,1)}
       430:{1,3,5,7}:{(373,1),(374,1),(376,1),(390,1),(466,1),(475,1),(477,1),(522,1)}
       431:{2,3,5,7}:{(375,1),(377,1),(391,1),(468,1),(476,1),(478,1),(483,1),(529,1)}
       432:{2,3,6}:{(376,1),(378,1),(392,1),(469,1),(477,1)}
       433:{3,6,7}:{(377,1),(378,1),(381,1)}
       434:{3,5,6}:{(378,1),(379,1),(382,1),(480,1)}
       435:{4,5,7}:{(379,1),(380,1),(473,1),(480,1),(535,1),(549,1)}
       436:{2,5,6,7}:{(381,1),(382,1),(394,1),(479,1),(529,1),(536,1)}
       437:{2,4}:{(383,1),(384,1),(481,1)}
       438:{1,3,5}:{(384,1),(385,1),(386,1),(481,1),(482,1)}
       439:{2,3,6}:{(385,1),(387,1),(482,1),(483,1),(486,1),(521,1)}
       440:{1,4,6}:{(386,1),(387,1),(389,1),(482,1),(484,1)}
       441:{2,4,7}:{(387,1),(388,1),(391,1),(483,1),(484,1),(532,1)}
       442:{1,5,7}:{(389,1),(391,1),(484,1),(485,1)}
       443:{1,6}:{(390,1),(392,1)}
       444:{2,6,7}:{(391,1),(392,1),(393,1),(485,1)}
       445:{3,5}:{(395,1),(396,1),(486,1)}
       446:{3,4,7}:{(395,1),(397,1),(487,1),(488,1),(549,1)}
       447:{2,4,6}:{(396,1),(399,1),(408,1),(486,1),(489,1)}
       448:{2,4,5,7}:{(396,1),(397,1),(400,1),(409,1),(487,1),(489,1),(490,1),(491,1),(535,1),(536,1),(549,1)}
       449:{2,4,6}:{(397,1),(398,1),(401,1),(488,1),(491,1)}
       450:{1,4,7}:{(399,1),(402,1),(410,1),(489,1),(549,1)}
       451:{1,4,6}:{(400,1),(403,1),(411,1),(490,1),(493,1)}
       452:{1,5}:{(401,1),(404,1),(491,1)}
       453:{2,4,6,7}:{(402,1),(403,1),(405,1),(412,1),(492,1),(494,1)}
       454:{2,5,6}:{(403,1),(404,1),(406,1),(493,1),(494,1)}
       455:{3,5,7}:{(405,1),(406,1),(494,1),(495,1)}
       456:{4,5,6}:{(406,1),(407,1),(414,1),(495,1)}
       457:{2,5,7}:{(408,1),(410,1),(489,1),(496,1),(532,1)}
       458:{2,6}:{(409,1),(411,1)}
       459:{1,3,6,7}:{(410,1),(411,1),(412,1),(485,1),(492,1),(496,1),(533,1)}
       460:{4,6,7}:{(413,1),(414,1),(495,1),(552,1)}
       461:{3,4}:{(415,1),(497,1)}
       462:{2,4,5}:{(415,1),(417,1),(427,1),(497,1),(499,1)}
       463:{2,4,7}:{(415,1),(416,1),(418,1),(498,1),(501,1)}
       464:{2,3,6}:{(416,1),(419,1),(501,1),(510,1),(538,1)}
       465:{1,4,6}:{(417,1),(420,1),(429,1),(499,1),(502,1),(551,1)}
       466:{1,4,5,7}:{(417,1),(418,1),(421,1),(430,1),(500,1),(502,1),(503,1),(504,1),(542,1)}
       467:{1,4,6}:{(418,1),(419,1),(422,1),(501,1),(504,1)}
       468:{2,4,7}:{(420,1),(423,1),(431,1),(502,1)}
       469:{2,4,6}:{(421,1),(424,1),(432,1),(503,1),(506,1)}
       470:{2,5}:{(422,1),(425,1),(504,1)}
       471:{3,4,6,7}:{(423,1),(424,1),(433,1),(505,1),(507,1),(512,1)}
       472:{3,5,6}:{(424,1),(425,1),(506,1),(507,1),(508,1)}
       473:{4,5}:{(425,1),(426,1)}
       474:{2,5,6}:{(427,1),(429,1),(499,1),(509,1),(510,1),(513,1)}
       475:{2,5,7}:{(427,1),(428,1),(430,1),(510,1)}
       476:{1,3,5,7}:{(429,1),(431,1),(442,1),(502,1),(509,1),(511,1),(514,1),(537,1),(542,1),(550,1)}
       477:{1,3,6}:{(430,1),(432,1),(443,1),(503,1),(510,1),(538,1)}
       478:{2,3,6,7}:{(431,1),(432,1),(433,1),(444,1),(505,1),(511,1)}
       479:{3,5,6,7}:{(433,1),(434,1),(436,1),(507,1),(512,1),(543,1)}
       480:{4,6}:{(434,1),(435,1)}
       481:{2,5}:{(437,1),(438,1),(513,1)}
       482:{1,3,6}:{(438,1),(439,1),(440,1),(513,1),(514,1)}
       483:{2,3,7}:{(439,1),(441,1),(514,1),(515,1),(537,1)}
       484:{1,4,7}:{(440,1),(441,1),(442,1),(514,1)}
       485:{1,6,7}:{(442,1),(443,1),(444,1)}
       486:{3,6}:{(445,1),(447,1),(515,1)}
       487:{3,5,7}:{(445,1),(446,1),(448,1),(515,1),(516,1),(517,1)}
       488:{3,4,6}:{(446,1),(449,1),(516,1),(517,1),(544,1)}
       489:{2,4,7}:{(447,1),(450,1),(457,1),(515,1)}
       490:{2,4,6}:{(448,1),(451,1),(458,1),(516,1),(519,1),(544,1)}
       491:{2,5}:{(449,1),(452,1),(517,1)}
       492:{1,4,6,7}:{(450,1),(451,1),(453,1),(459,1),(518,1),(520,1)}
       493:{1,5,6}:{(451,1),(452,1),(454,1),(519,1),(520,1)}
       494:{2,5,7}:{(453,1),(454,1),(455,1),(520,1)}
       495:{4,5,7}:{(455,1),(456,1),(460,1)}
       496:{2,6,7}:{(457,1),(458,1),(459,1)}
       497:{3,5}:{(461,1),(462,1),(521,1)}
       498:{3,4,7}:{(461,1),(463,1),(522,1),(523,1),(552,1)}
       499:{2,4,6}:{(462,1),(465,1),(474,1),(521,1),(524,1)}
       500:{2,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(522,1),(524,1),(525,1),(526,1),(547,1),(548,1),(552,1)}
       501:{2,4,6}:{(463,1),(464,1),(467,1),(523,1),(526,1)}
       502:{1,4,7}:{(465,1),(468,1),(476,1),(524,1),(552,1)}
       503:{1,4,6}:{(466,1),(469,1),(477,1),(525,1),(528,1)}
       504:{1,5}:{(467,1),(470,1),(526,1)}
       505:{2,4,6,7}:{(468,1),(469,1),(471,1),(478,1),(527,1),(529,1)}
       506:{2,5,6}:{(469,1),(470,1),(472,1),(528,1),(529,1)}
       507:{3,5,7}:{(471,1),(472,1),(529,1),(530,1)}
       508:{4,5,6}:{(472,1),(473,1),(480,1),(530,1)}
       509:{2,5,7}:{(474,1),(476,1),(524,1),(531,1),(532,1)}
       510:{2,6}:{(475,1),(477,1)}
       511:{1,3,6,7}:{(476,1),(477,1),(478,1),(485,1),(527,1),(531,1),(545,1)}
       512:{4,6,7}:{(479,1),(480,1),(530,1),(549,1)}
       513:{2,6}:{(481,1),(482,1),(532,1)}
       514:{1,3,7}:{(482,1),(483,1),(484,1),(532,1)}
       515:{3,7}:{(486,1),(489,1)}
       516:{3,6}:{(487,1),(490,1)}
       517:{3,5}:{(488,1),(491,1),(535,1)}
       518:{2,4,6,7}:{(489,1),(490,1),(492,1),(496,1),(533,1),(536,1),(549,1)}
       519:{2,5,6}:{(490,1),(491,1),(493,1),(534,1),(536,1)}
       520:{1,5,7}:{(492,1),(493,1),(494,1),(536,1)}
       521:{3,6}:{(497,1),(499,1),(537,1)}
       522:{3,5,7}:{(497,1),(498,1),(500,1),(537,1),(538,1),(539,1)}
       523:{3,4,6}:{(498,1),(501,1),(538,1),(539,1),(551,1)}
       524:{2,4,7}:{(499,1),(502,1),(509,1),(537,1)}
       525:{2,4,6}:{(500,1),(503,1),(510,1),(538,1),(541,1),(551,1)}
       526:{2,5}:{(501,1),(504,1),(539,1)}
       527:{1,4,6,7}:{(502,1),(503,1),(505,1),(511,1),(540,1),(542,1)}
       528:{1,5,6}:{(503,1),(504,1),(506,1),(541,1),(542,1)}
       529:{2,5,7}:{(505,1),(506,1),(507,1),(542,1)}
       530:{4,5,7}:{(507,1),(508,1),(512,1)}
       531:{2,6,7}:{(509,1),(510,1),(511,1)}
       532:{2,7}:{(513,1),(514,1)}
       533:{3,6,7}:{(515,1),(516,1),(518,1),(543,1)}
       534:{3,5,6}:{(516,1),(517,1),(519,1),(543,1),(544,1)}
       535:{4,5}:{(517,1),(544,1)}
       536:{2,5,7}:{(518,1),(519,1),(520,1),(543,1)}
       537:{3,7}:{(521,1),(524,1)}
       538:{3,6}:{(522,1),(525,1)}
       539:{3,5}:{(523,1),(526,1),(547,1)}
       540:{2,4,6,7}:{(524,1),(525,1),(527,1),(531,1),(545,1),(548,1),(552,1)}
       541:{2,5,6}:{(525,1),(526,1),(528,1),(546,1),(548,1)}
       542:{1,5,7}:{(527,1),(528,1),(529,1),(548,1)}
       543:{3,5,7}:{(533,1),(534,1),(536,1),(549,1)}
       544:{4,6}:{(534,1),(535,1),(549,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(550,1)}
       546:{3,5,6}:{(538,1),(539,1),(541,1),(550,1),(551,1)}
       547:{4,5}:{(539,1),(551,1)}
       548:{2,5,7}:{(540,1),(541,1),(542,1),(550,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{3,5,7}:{(545,1),(546,1),(548,1),(552,1)}
       551:{4,6}:{(546,1),(547,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 367 :   0:{2,4,5,7}:{(2,1),(4,1),(5,1),(7,1),(24,1),(29,1),(34,1),(68,1),(71,1),(72,1),(92,1),(101,1),(119,1),(132,1)}
         1:{2,4,6,7}:{(3,1),(5,1),(6,1),(7,1),(27,1),(34,1),(68,1)}
         2:{1,4,5,7}:{(0,1),(8,1),(10,1),(11,1),(13,1),(42,1),(47,1),(48,1),(74,1),(84,1),(87,1),(91,1),(109,1),(113,1)}
         3:{1,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(13,1),(45,1),(47,1),(87,1)}
         4:{3,5,7}:{(0,1),(14,1),(16,1),(50,1),(88,1),(107,1),(114,1),(127,1)}
         5:{2,4,6}:{(0,1),(11,1),(16,1),(17,1),(43,1),(53,1)}
         6:{3,6,7}:{(1,1),(16,1),(18,1),(88,1)}
         7:{2,5,7}:{(1,1),(13,1),(17,1),(18,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(20,1),(22,1),(24,1),(54,1),(59,1),(68,1),(69,1),(94,1),(95,1),(101,1),(106,1),(126,1)}
         9:{2,4,6,7}:{(3,1),(20,1),(21,1),(22,1),(27,1),(59,1),(68,1)}
        10:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(25,1),(63,1),(104,1),(123,1)}
        11:{1,4,6}:{(2,1),(5,1),(20,1),(25,1),(26,1),(64,1)}
        12:{1,3,6,7}:{(3,1),(6,1),(21,1),(25,1),(27,1),(28,1),(104,1)}
        13:{1,5,7}:{(3,1),(7,1),(22,1),(26,1)}
        14:{3,4,7}:{(4,1),(29,1),(30,1),(34,1),(122,1),(132,1)}
        15:{2,3,5,7}:{(4,1),(24,1),(29,1),(31,1),(32,1),(60,1),(71,1),(99,1)}
        16:{3,6}:{(4,1),(5,1)}
        17:{2,5,6}:{(5,1),(7,1),(26,1),(33,1),(71,1),(119,1)}
        18:{3,5,7}:{(6,1),(7,1),(33,1),(34,1)}
        19:{3,5,7}:{(8,1),(35,1),(37,1),(76,1),(88,1),(89,1),(114,1),(117,1)}
        20:{2,4,6}:{(8,1),(11,1),(37,1),(38,1),(43,1),(79,1)}
        21:{3,6,7}:{(9,1),(37,1),(39,1),(88,1)}
        22:{2,5,7}:{(9,1),(13,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(10,1),(14,1),(35,1),(40,1),(41,1),(47,1),(48,1),(74,1),(80,1),(88,1),(89,1),(107,1),(129,1)}
        24:{2,5,7}:{(10,1),(40,1),(42,1),(43,1),(83,1),(116,1),(130,1)}
        25:{1,3,6}:{(10,1),(11,1),(16,1),(37,1),(43,1)}
        26:{1,5,6}:{(11,1),(13,1),(17,1),(38,1),(91,1),(109,1)}
        27:{2,6,7}:{(12,1),(43,1),(45,1),(46,1),(116,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(18,1),(39,1),(44,1),(46,1),(47,1),(88,1)}
        29:{2,4,7}:{(14,1),(15,1),(48,1),(49,1),(112,1)}
        30:{3,4,6}:{(14,1),(16,1),(49,1),(50,1),(53,1)}
        31:{1,3,5,7}:{(15,1),(42,1),(48,1),(51,1),(52,1),(80,1),(89,1),(91,1),(111,1),(117,1)}
        32:{2,3,6}:{(15,1),(16,1),(43,1),(49,1),(52,1)}
        33:{3,5,6}:{(16,1),(17,1),(18,1),(50,1),(53,1),(127,1)}
        34:{4,7}:{(18,1),(53,1)}
        35:{3,4,7}:{(19,1),(54,1),(55,1),(59,1),(122,1),(126,1)}
        36:{2,3,5,7}:{(19,1),(24,1),(54,1),(56,1),(57,1),(60,1),(94,1),(99,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{2,5,6}:{(20,1),(22,1),(26,1),(58,1),(94,1),(106,1)}
        39:{3,5,7}:{(21,1),(22,1),(58,1),(59,1)}
        40:{2,4,7}:{(23,1),(24,1),(60,1),(61,1),(62,1),(97,1),(134,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(30,1),(55,1),(62,1),(63,1),(66,1),(70,1),(93,1),(98,1),(103,1),(105,1),(118,1),(121,1),(122,1),(126,1),(132,1),(133,1)}
        42:{1,5,7}:{(24,1),(61,1),(64,1),(100,1),(125,1),(135,1)}
        43:{2,6}:{(24,1),(25,1),(64,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(28,1),(33,1),(58,1),(63,1),(65,1),(66,1),(103,1)}
        45:{1,6,7}:{(27,1),(64,1),(67,1),(125,1)}
        46:{2,5,7}:{(27,1),(28,1),(65,1),(67,1),(68,1)}
        47:{1,4,7}:{(28,1),(34,1),(59,1),(66,1),(68,1),(125,1)}
        48:{1,4,7}:{(29,1),(31,1),(69,1),(70,1),(121,1),(126,1)}
        49:{2,4,6}:{(29,1),(30,1),(32,1),(70,1),(71,1)}
        50:{3,5}:{(30,1),(71,1),(72,1)}
        51:{2,5,7}:{(31,1),(69,1),(73,1),(97,1),(106,1),(120,1)}
        52:{1,3,6}:{(31,1),(32,1),(64,1),(70,1),(73,1),(105,1)}
        53:{4,6}:{(33,1),(34,1),(72,1),(132,1)}
        54:{2,4,7}:{(35,1),(36,1),(74,1),(75,1),(112,1)}
        55:{3,4,6}:{(35,1),(37,1),(75,1),(76,1),(79,1)}
        56:{1,3,5,7}:{(36,1),(42,1),(74,1),(77,1),(78,1),(80,1),(107,1),(109,1),(111,1),(127,1)}
        57:{2,3,6}:{(36,1),(37,1),(43,1),(75,1),(78,1)}
        58:{3,5,6}:{(37,1),(38,1),(39,1),(76,1),(79,1),(117,1)}
        59:{4,7}:{(39,1),(79,1)}
        60:{2,3,7}:{(40,1),(80,1),(81,1),(88,1),(89,1),(107,1),(116,1),(136,1)}
        61:{1,4,7}:{(40,1),(42,1),(80,1),(82,1),(137,1)}
        62:{2,4,6}:{(40,1),(41,1),(43,1),(81,1),(82,1),(83,1),(110,1),(112,1),(128,1)}
        63:{1,3,5}:{(41,1),(50,1),(76,1),(83,1),(84,1),(91,1),(109,1),(114,1),(117,1),(127,1)}
        64:{1,6}:{(42,1),(43,1)}
        65:{2,5,6}:{(43,1),(44,1),(46,1),(83,1),(85,1),(86,1)}
        66:{1,4,6}:{(44,1),(47,1),(53,1),(79,1),(84,1),(86,1),(131,1)}
        67:{1,5,7}:{(45,1),(46,1),(85,1),(87,1)}
        68:{2,4,7}:{(46,1),(47,1),(86,1),(87,1),(88,1),(116,1)}
        69:{2,4,7}:{(48,1),(51,1),(89,1),(90,1),(128,1)}
        70:{1,4,6}:{(48,1),(49,1),(52,1),(90,1),(91,1)}
        71:{2,5}:{(49,1),(50,1),(91,1)}
        72:{4,5}:{(50,1),(53,1)}
        73:{2,6}:{(51,1),(52,1)}
        74:{1,4,7}:{(54,1),(56,1),(92,1),(93,1),(121,1),(132,1)}
        75:{2,4,6}:{(54,1),(55,1),(57,1),(93,1),(94,1)}
        76:{3,5}:{(55,1),(94,1),(95,1)}
        77:{2,5,7}:{(56,1),(92,1),(96,1),(97,1),(119,1),(120,1)}
        78:{1,3,6}:{(56,1),(57,1),(64,1),(93,1),(96,1),(118,1)}
        79:{4,6}:{(58,1),(59,1),(95,1),(126,1)}
        80:{1,3,7}:{(60,1),(61,1),(97,1),(98,1),(125,1),(138,1)}
        81:{2,3,6}:{(60,1),(62,1),(98,1),(99,1),(103,1),(105,1),(118,1),(124,1),(133,1)}
        82:{1,4,6}:{(61,1),(62,1),(64,1),(98,1),(100,1),(121,1)}
        83:{2,5}:{(62,1),(63,1),(100,1)}
        84:{1,4,5}:{(63,1),(66,1),(72,1),(95,1),(101,1),(121,1),(126,1),(132,1),(135,1)}
        85:{1,5,6}:{(64,1),(65,1),(67,1),(100,1),(102,1)}
        86:{2,4,6}:{(65,1),(66,1),(68,1),(101,1),(102,1),(103,1),(124,1)}
        87:{1,4,7}:{(67,1),(68,1),(102,1),(104,1)}
        88:{3,7}:{(68,1),(103,1)}
        89:{3,7}:{(69,1),(105,1),(133,1)}
        90:{2,4,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(126,1)}
        91:{1,5}:{(70,1),(71,1),(106,1)}
        92:{2,4,7}:{(74,1),(77,1),(107,1),(108,1),(128,1)}
        93:{1,4,6}:{(74,1),(75,1),(78,1),(108,1),(109,1)}
        94:{2,5}:{(75,1),(76,1),(109,1)}
        95:{4,5}:{(76,1),(79,1)}
        96:{2,6}:{(77,1),(78,1)}
        97:{2,7}:{(80,1),(110,1),(139,1)}
        98:{1,3,6}:{(80,1),(81,1),(82,1),(110,1),(111,1),(131,1)}
        99:{2,3,5}:{(81,1),(83,1),(111,1),(112,1),(114,1),(117,1),(127,1),(130,1),(136,1)}
       100:{1,5}:{(82,1),(83,1)}
       101:{2,4,5}:{(83,1),(84,1),(86,1),(112,1),(113,1),(114,1),(128,1),(130,1)}
       102:{1,4,6}:{(85,1),(86,1),(87,1),(113,1),(115,1)}
       103:{3,6}:{(86,1),(88,1),(114,1)}
       104:{1,3,7}:{(87,1),(88,1),(115,1),(116,1)}
       105:{3,6}:{(89,1),(90,1),(117,1)}
       106:{2,5}:{(90,1),(91,1),(117,1)}
       107:{3,7}:{(92,1),(118,1),(133,1)}
       108:{2,4,6}:{(92,1),(93,1),(96,1),(118,1),(119,1),(132,1)}
       109:{1,5}:{(93,1),(94,1),(119,1)}
       110:{2,6}:{(97,1),(98,1),(120,1)}
       111:{1,3,5}:{(98,1),(99,1),(100,1),(120,1),(121,1),(133,1),(135,1),(138,1)}
       112:{2,4}:{(99,1),(121,1),(122,1),(126,1),(132,1)}
       113:{1,4,5}:{(100,1),(101,1),(102,1),(121,1),(123,1)}
       114:{3,5}:{(101,1),(103,1),(122,1),(133,1)}
       115:{1,3,6}:{(102,1),(103,1),(104,1),(123,1),(124,1)}
       116:{2,7}:{(104,1),(124,1),(125,1)}
       117:{3,5}:{(105,1),(106,1),(126,1)}
       118:{3,6}:{(107,1),(108,1),(127,1)}
       119:{2,5}:{(108,1),(109,1),(127,1)}
       120:{2,5}:{(110,1),(111,1),(128,1),(139,1)}
       121:{1,4}:{(111,1),(112,1),(128,1)}
       122:{3,4}:{(112,1),(114,1)}
       123:{1,3,5}:{(113,1),(114,1),(115,1),(129,1),(130,1)}
       124:{2,6}:{(115,1),(116,1),(130,1),(131,1)}
       125:{1,7}:{(116,1),(131,1)}
       126:{4}:{(117,1)}
       127:{3,5}:{(118,1),(119,1),(132,1)}
       128:{2,4}:{(120,1),(121,1),(133,1)}
       129:{1,3,4}:{(121,1),(122,1),(123,1),(133,1),(134,1),(138,1)}
       130:{2,5}:{(123,1),(124,1),(134,1),(135,1)}
       131:{1,6}:{(124,1),(125,1),(135,1)}
       132:{4}:{(127,1)}
       133:{3}:{(128,1)}
       134:{2,4}:{(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{1,5}:{(130,1),(131,1),(137,1)}
       136:{2,3}:{(133,1),(134,1),(138,1)}
       137:{1,4}:{(134,1),(135,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 368 :   0:{3,4,5,7}:{(1,1),(2,1),(12,1),(83,1),(92,1),(160,1),(261,1),(361,1),(367,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(25,1),(55,1),(60,1),(119,1),(213,1)}
         2:{3,4,6}:{(0,1),(6,1),(7,1),(405,1),(411,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(367,1),(375,1)}
         4:{3,4,6,7}:{(2,1),(11,1),(12,1),(42,1),(92,1),(100,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(13,1),(14,1),(44,1),(82,1),(86,1),(91,1),(169,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1)}
         7:{3,5,6}:{(2,1),(12,1),(15,1),(16,1),(261,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(110,1),(119,1),(226,1),(317,1),(325,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(27,1),(54,1),(420,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(411,1),(419,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(60,1)}
        12:{3,5,7}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(61,1),(69,1),(117,1),(129,1),(132,1),(140,1),(145,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(28,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(213,1)}
        16:{4,5,6}:{(7,1),(26,1),(314,1),(405,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(46,1),(77,1),(86,1),(91,1),(174,1),(281,1),(376,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(150,1),(163,1),(180,1),(248,1),(257,1),(267,1),(275,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(100,1),(184,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(81,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(47,1),(459,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(109,1),(180,1)}
        23:{3,5,6,7}:{(12,1),(41,1),(42,1),(100,1),(360,1),(468,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(43,1),(44,1),(91,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{4,5,7}:{(12,1),(16,1),(42,1)}
        27:{3,5,7}:{(13,1),(46,1),(47,1),(106,1),(158,1),(174,1)}
        28:{2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(107,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(48,1),(169,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(109,1),(266,1),(297,1),(366,1),(467,1),(518,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(336,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(73,1),(112,1),(124,1),(134,1),(200,1),(205,1),(232,1),(309,1),(330,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(213,1),(320,1),(329,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(113,1),(195,1),(420,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(68,1),(236,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(142,1),(226,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(116,1),(132,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(74,1),(134,1),(148,1),(232,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(315,1),(431,1)}
        42:{4,6,7}:{(23,1),(26,1),(405,1),(498,1)}
        43:{2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(129,1),(140,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1),(69,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(142,1),(346,1),(431,1),(498,1)}
        46:{3,4,7}:{(27,1),(61,1),(73,1),(140,1),(205,1)}
        47:{3,6}:{(27,1),(28,1)}
        48:{2,5,6}:{(28,1),(29,1),(69,1),(74,1),(132,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(76,1),(148,1),(220,1),(244,1),(323,1),(430,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(320,1),(348,1),(411,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(77,1),(78,1),(86,1),(149,1),(376,1),(377,1)}
        52:{2,3,7}:{(31,1),(77,1),(80,1),(174,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(80,1),(81,1),(157,1),(286,1),(359,1)}
        54:{1,3,5}:{(32,1),(33,1),(81,1),(82,1),(106,1),(158,1),(169,1),(380,1)}
        55:{2,4,5}:{(33,1),(40,1),(82,1),(83,1),(248,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(77,1),(84,1),(86,1),(87,1),(153,1),(169,1)}
        57:{1,2,6}:{(34,1),(38,1),(87,1),(246,1),(459,1)}
        58:{2,6,7}:{(35,1),(38,1),(90,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(90,1),(91,1),(102,1),(174,1),(189,1),(281,1)}
        60:{2,4,7}:{(36,1),(40,1),(91,1),(92,1)}
        61:{2,4,7}:{(37,1),(46,1),(86,1),(94,1),(157,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(87,1),(94,1)}
        63:{2,5,6}:{(38,1),(39,1),(81,1),(90,1),(96,1),(286,1)}
        64:{1,4,6}:{(39,1),(40,1),(82,1),(91,1),(96,1),(107,1)}
        65:{3,4,6}:{(40,1),(50,1),(83,1),(92,1),(518,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(98,1),(99,1),(268,1),(389,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(99,1),(100,1),(184,1),(366,1)}
        68:{3,6,7}:{(43,1),(47,1),(102,1),(174,1)}
        69:{2,5,7}:{(43,1),(44,1),(48,1),(102,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(91,1),(99,1),(103,1),(104,1),(189,1),(294,1),(389,1)}
        71:{3,5,7}:{(45,1),(50,1),(92,1),(100,1),(393,1)}
        72:{3,4,5,7}:{(46,1),(93,1),(105,1),(106,1),(186,1),(190,1),(256,1),(279,1),(358,1)}
        73:{3,4,6}:{(46,1),(47,1),(94,1),(106,1),(107,1)}
        74:{3,5,6}:{(47,1),(48,1),(102,1),(106,1),(107,1)}
        75:{2,4,5,6}:{(48,1),(49,1),(96,1),(103,1),(107,1),(108,1),(109,1),(178,1),(193,1),(278,1),(287,1),(388,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(97,1),(104,1),(108,1),(109,1),(274,1),(374,1)}
        77:{1,3,7}:{(51,1),(52,1),(110,1),(112,1)}
        78:{1,2,4,6}:{(51,1),(53,1),(57,1),(112,1),(113,1),(124,1),(196,1),(200,1),(330,1),(331,1),(402,1)}
        79:{2,3,4,7}:{(52,1),(61,1),(111,1),(114,1),(115,1),(225,1),(307,1),(325,1),(471,1)}
        80:{2,3,6}:{(52,1),(53,1),(112,1),(116,1),(134,1),(403,1)}
        81:{2,5}:{(53,1),(54,1)}
        82:{1,4,5}:{(54,1),(55,1),(64,1),(117,1),(145,1),(200,1)}
        83:{3,4,5}:{(55,1),(65,1),(301,1),(320,1),(534,1)}
        84:{2,3,5,7}:{(56,1),(110,1),(119,1),(120,1),(195,1),(197,1),(208,1),(213,1)}
        85:{1,2,6,7}:{(57,1),(58,1),(121,1),(122,1),(236,1),(298,1),(343,1),(419,1),(491,1),(492,1),(529,1)}
        86:{1,4,7}:{(56,1),(61,1),(119,1),(124,1),(200,1)}
        87:{1,3,6}:{(56,1),(57,1),(62,1),(120,1),(124,1)}
        88:{1,2,5,6}:{(57,1),(63,1),(113,1),(122,1),(125,1),(126,1),(148,1),(245,1),(299,1),(329,1),(331,1),(419,1),(423,1),(424,1),(489,1),(492,1)}
        89:{2,3,6,7}:{(58,1),(62,1),(68,1),(121,1),(127,1),(128,1),(333,1),(419,1),(529,1),(530,1),(545,1)}
        90:{2,5,7}:{(58,1),(59,1),(63,1),(129,1),(336,1)}
        91:{1,4,7}:{(59,1),(60,1),(64,1),(129,1),(140,1)}
        92:{3,4,7}:{(60,1),(65,1),(71,1),(498,1)}
        93:{2,4,5,7}:{(61,1),(72,1),(114,1),(123,1),(131,1),(132,1),(204,1),(228,1),(307,1)}
        94:{2,4,6}:{(61,1),(62,1),(73,1),(124,1),(132,1)}
        95:{2,3,5,6}:{(62,1),(63,1),(74,1),(116,1),(125,1),(128,1),(132,1),(133,1),(134,1),(222,1),(223,1),(230,1),(329,1),(333,1),(419,1),(489,1),(490,1),(527,1),(530,1),(544,1),(547,1)}
        96:{2,4,6}:{(63,1),(64,1),(117,1),(129,1),(134,1)}
        97:{1,3,4,6}:{(64,1),(65,1),(76,1),(118,1),(130,1),(134,1),(135,1),(146,1),(232,1),(244,1),(348,1)}
        98:{2,5,6,7}:{(66,1),(69,1),(136,1),(137,1),(223,1),(341,1)}
        99:{1,4,6,7}:{(66,1),(67,1),(70,1),(137,1),(138,1),(236,1),(323,1)}
       100:{3,6,7}:{(67,1),(71,1),(411,1)}
       101:{3,4,6,7}:{(68,1),(73,1),(127,1),(139,1),(140,1),(225,1),(238,1),(333,1),(545,1),(546,1),(551,1)}
       102:{3,5,7}:{(68,1),(69,1),(74,1),(140,1)}
       103:{2,4,5,7}:{(69,1),(70,1),(75,1),(129,1),(137,1),(140,1),(141,1),(142,1),(233,1),(240,1),(341,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(76,1),(130,1),(138,1),(141,1),(142,1)}
       105:{3,4,6}:{(72,1),(131,1),(144,1),(238,1),(333,1)}
       106:{3,5}:{(73,1),(132,1),(145,1)}
       107:{4,6}:{(74,1),(140,1),(145,1)}
       108:{3,5,6}:{(75,1),(134,1),(141,1),(146,1),(230,1),(333,1)}
       109:{2,5,6}:{(76,1),(135,1),(142,1),(148,1),(329,1),(419,1)}
       110:{2,3,7}:{(77,1),(149,1),(150,1),(436,1)}
       111:{1,3,4,7}:{(77,1),(79,1),(86,1),(149,1),(151,1),(152,1),(160,1),(353,1),(376,1),(436,1),(500,1)}
       112:{1,3,6}:{(77,1),(78,1),(80,1),(150,1),(153,1),(442,1)}
       113:{1,2,5}:{(78,1),(81,1),(153,1),(169,1),(247,1),(380,1)}
       114:{2,3,5,7}:{(79,1),(93,1),(151,1),(155,1),(156,1),(279,1),(375,1)}
       115:{2,3,4,6}:{(79,1),(80,1),(94,1),(152,1),(155,1),(156,1),(157,1),(179,1),(255,1),(275,1),(352,1),(437,1)}
       116:{2,3,5}:{(80,1),(81,1),(153,1),(157,1),(158,1)}
       117:{2,4,5}:{(81,1),(82,1),(96,1),(157,1),(158,1)}
       118:{1,3,4,5}:{(82,1),(83,1),(97,1),(158,1),(159,1),(192,1),(252,1),(258,1),(274,1),(296,1),(394,1)}
       119:{2,4,7}:{(84,1),(86,1),(160,1),(163,1),(248,1)}
       120:{2,3,6}:{(84,1),(87,1),(163,1),(246,1),(260,1)}
       121:{1,3,6,7}:{(85,1),(87,1),(89,1),(161,1),(165,1),(166,1),(374,1),(459,1),(515,1)}
       122:{1,2,5,7}:{(85,1),(88,1),(90,1),(166,1),(167,1),(189,1),(295,1),(349,1),(375,1),(377,1),(462,1),(513,1)}
       123:{1,4,5,7}:{(86,1),(93,1),(151,1),(162,1),(168,1),(169,1),(251,1),(272,1),(353,1)}
       124:{1,4,6}:{(86,1),(87,1),(94,1),(163,1),(169,1)}
       125:{1,3,5,6}:{(87,1),(88,1),(95,1),(153,1),(164,1),(166,1),(169,1),(170,1),(171,1),(268,1),(274,1),(276,1),(374,1),(380,1),(459,1),(463,1),(515,1),(542,1)}
       126:{1,2,4,6}:{(88,1),(96,1),(154,1),(167,1),(170,1),(171,1),(181,1),(275,1),(286,1),(297,1),(350,1),(441,1),(501,1),(508,1)}
       127:{2,4,6,7}:{(89,1),(94,1),(101,1),(165,1),(172,1),(173,1),(278,1),(541,1)}
       128:{2,3,5,7}:{(89,1),(90,1),(95,1),(102,1),(166,1),(172,1),(173,1),(174,1),(271,1),(279,1),(375,1),(513,1),(540,1),(548,1)}
       129:{2,4,7}:{(90,1),(91,1),(96,1),(174,1)}
       130:{1,3,4,7}:{(91,1),(92,1),(97,1),(104,1),(174,1),(175,1),(187,1),(281,1),(294,1),(393,1)}
       131:{2,4,6}:{(93,1),(105,1),(155,1),(168,1),(177,1)}
       132:{2,5}:{(94,1),(106,1),(169,1)}
       133:{2,4,6}:{(95,1),(107,1),(157,1),(170,1),(173,1),(178,1),(179,1),(514,1),(549,1)}
       134:{3,6}:{(96,1),(158,1),(174,1)}
       135:{2,4,6}:{(97,1),(109,1),(159,1),(175,1),(180,1),(181,1),(286,1)}
       136:{3,5,6,7}:{(98,1),(102,1),(182,1),(183,1),(185,1),(288,1)}
       137:{2,4,6,7}:{(98,1),(99,1),(103,1),(182,1),(183,1),(184,1),(278,1)}
       138:{1,3,6,7}:{(99,1),(100,1),(104,1),(183,1),(184,1),(374,1)}
       139:{3,5,7}:{(101,1),(106,1),(172,1),(185,1),(186,1),(550,1)}
       140:{4,7}:{(102,1),(107,1)}
       141:{3,5,7}:{(103,1),(108,1),(174,1),(183,1),(187,1)}
       142:{2,5,7}:{(104,1),(109,1),(175,1),(184,1),(189,1)}
       143:{3,4,6,7}:{(105,1),(176,1),(190,1),(291,1),(358,1),(382,1)}
       144:{3,5,6}:{(105,1),(106,1),(177,1),(190,1),(191,1)}
       145:{4,5}:{(106,1),(107,1)}
       146:{3,4,6}:{(107,1),(108,1),(187,1),(192,1),(193,1)}
       147:{2,3,5,6}:{(108,1),(109,1),(180,1),(188,1),(193,1),(194,1),(284,1),(383,1),(388,1)}
       148:{1,5,6}:{(109,1),(181,1),(189,1),(380,1),(459,1)}
       149:{2,4,7}:{(110,1),(111,1),(195,1),(196,1),(520,1)}
       150:{2,3,6}:{(110,1),(112,1),(196,1),(197,1),(396,1),(474,1)}
       151:{1,3,5,7}:{(111,1),(114,1),(123,1),(195,1),(198,1),(199,1),(208,1),(420,1)}
       152:{1,3,4,6}:{(111,1),(112,1),(115,1),(124,1),(196,1),(198,1),(199,1),(200,1),(209,1),(301,1),(303,1),(330,1),(396,1),(398,1),(472,1)}
       153:{1,3,5}:{(112,1),(113,1),(116,1),(197,1),(200,1)}
       154:{1,2,4,5}:{(113,1),(117,1),(126,1),(200,1),(201,1),(207,1),(220,1),(300,1),(305,1),(310,1),(329,1),(347,1),(401,1),(402,1),(424,1),(473,1),(483,1),(494,1)}
       155:{2,3,6}:{(114,1),(131,1),(198,1),(333,1),(419,1)}
       156:{2,3,5}:{(115,1),(132,1),(199,1),(204,1),(230,1),(329,1)}
       157:{2,4}:{(116,1),(200,1),(205,1)}
       158:{3,5}:{(117,1),(134,1),(205,1)}
       159:{2,4,5}:{(118,1),(135,1),(206,1),(207,1),(305,1),(310,1),(329,1)}
       160:{3,4,7}:{(119,1),(208,1),(209,1),(301,1),(407,1)}
       161:{2,3,6,7}:{(120,1),(121,1),(210,1),(211,1),(298,1),(312,1),(343,1),(411,1),(419,1),(432,1),(495,1)}
       162:{2,4,5,7}:{(119,1),(123,1),(195,1),(208,1),(212,1),(213,1),(300,1),(314,1),(318,1),(395,1),(407,1)}
       163:{2,4,6}:{(119,1),(120,1),(124,1),(209,1),(213,1)}
       164:{2,3,5,6}:{(120,1),(125,1),(197,1),(211,1),(213,1),(214,1),(222,1),(245,1),(299,1),(313,1),(315,1),(320,1),(329,1),(348,1),(396,1),(411,1),(419,1),(429,1),(495,1),(497,1),(533,1)}
       165:{1,4,6,7}:{(121,1),(124,1),(127,1),(210,1),(215,1),(216,1),(323,1),(532,1)}
       166:{1,3,5,7}:{(121,1),(122,1),(125,1),(128,1),(211,1),(215,1),(216,1),(217,1),(326,1),(420,1)}
       167:{1,2,4,7}:{(122,1),(126,1),(129,1),(216,1),(217,1),(227,1),(325,1),(336,1),(346,1),(395,1),(475,1),(520,1),(526,1)}
       168:{1,4,6}:{(123,1),(131,1),(198,1),(212,1),(219,1)}
       169:{1,5}:{(124,1),(132,1),(213,1)}
       170:{1,4,6}:{(125,1),(133,1),(200,1),(214,1),(216,1),(220,1),(494,1)}
       171:{1,3,6}:{(126,1),(134,1),(201,1),(217,1),(222,1),(348,1),(396,1),(527,1)}
       172:{2,5,7}:{(127,1),(132,1),(139,1),(215,1),(223,1),(547,1)}
       173:{2,4,7}:{(128,1),(133,1),(140,1),(216,1),(225,1),(551,1)}
       174:{3,7}:{(129,1),(134,1)}
       175:{2,4,7}:{(130,1),(135,1),(142,1),(226,1),(227,1),(336,1)}
       176:{2,4,6,7}:{(131,1),(143,1),(202,1),(218,1),(228,1),(307,1)}
       177:{2,5,6}:{(131,1),(132,1),(144,1),(219,1),(228,1)}
       178:{2,4,5}:{(132,1),(133,1),(145,1),(220,1),(230,1),(329,1),(547,1),(552,1)}
       179:{3,4,6}:{(133,1),(134,1),(205,1),(225,1),(230,1),(333,1),(527,1),(528,1)}
       180:{2,3,6}:{(134,1),(135,1),(206,1),(226,1),(232,1),(348,1)}
       181:{1,4,6}:{(135,1),(148,1),(207,1),(227,1),(232,1)}
       182:{4,6,7}:{(136,1),(140,1),(233,1),(238,1)}
       183:{3,6,7}:{(137,1),(141,1),(333,1)}
       184:{2,6,7}:{(138,1),(142,1),(236,1),(419,1)}
       185:{3,5,6}:{(139,1),(223,1),(238,1),(333,1)}
       186:{4,5,7}:{(139,1),(140,1),(145,1),(238,1),(551,1),(552,1)}
       187:{3,4,7}:{(140,1),(141,1),(146,1),(240,1)}
       188:{2,3,5,7}:{(141,1),(142,1),(147,1),(226,1),(235,1),(240,1),(241,1),(341,1)}
       189:{1,5,7}:{(142,1),(148,1),(227,1),(236,1)}
       190:{3,5,7}:{(143,1),(144,1),(228,1),(242,1)}
       191:{4,5,6}:{(144,1),(145,1),(238,1),(242,1)}
       192:{3,4,5}:{(145,1),(146,1),(230,1),(243,1),(528,1)}
       193:{2,4,6}:{(146,1),(147,1),(240,1),(243,1),(244,1)}
       194:{1,3,5,6}:{(147,1),(148,1),(232,1),(241,1),(244,1),(245,1),(338,1),(348,1),(426,1),(430,1),(497,1)}
       195:{2,5,7}:{(149,1),(151,1),(246,1),(247,1)}
       196:{2,4,6}:{(149,1),(150,1),(152,1),(246,1),(247,1),(248,1),(439,1),(501,1)}
       197:{2,3,5}:{(150,1),(153,1),(247,1),(248,1),(351,1)}
       198:{1,3,6}:{(151,1),(155,1),(168,1),(246,1),(260,1),(459,1)}
       199:{1,3,5}:{(152,1),(156,1),(169,1),(247,1),(251,1),(261,1),(351,1),(380,1)}
       200:{1,4}:{(153,1),(157,1),(248,1)}
       201:{1,3,5}:{(154,1),(158,1),(171,1),(252,1),(253,1),(351,1),(394,1),(442,1),(509,1)}
       202:{2,3,6,7}:{(155,1),(176,1),(249,1),(254,1),(382,1),(458,1)}
       203:{2,3,5,6}:{(155,1),(156,1),(177,1),(250,1),(254,1),(255,1),(283,1),(379,1),(437,1)}
       204:{2,4,5}:{(156,1),(157,1),(251,1),(255,1),(256,1)}
       205:{3,4}:{(157,1),(158,1)}
       206:{2,3,5}:{(158,1),(159,1),(180,1),(257,1),(258,1),(394,1)}
       207:{1,4,5}:{(159,1),(181,1),(258,1),(356,1),(380,1)}
       208:{3,5,7}:{(160,1),(162,1),(260,1),(261,1),(351,1),(436,1)}
       209:{3,4,6}:{(160,1),(163,1),(260,1),(261,1),(363,1)}
       210:{2,4,6,7}:{(161,1),(163,1),(165,1),(259,1),(262,1),(263,1),(366,1),(517,1)}
       211:{2,3,5,7}:{(161,1),(164,1),(166,1),(262,1),(263,1),(271,1),(295,1),(349,1),(362,1),(367,1),(375,1),(393,1),(436,1),(468,1)}
       212:{2,4,6}:{(162,1),(168,1),(246,1),(260,1),(265,1),(363,1)}
       213:{2,5}:{(163,1),(169,1),(261,1)}
       214:{2,4,6}:{(164,1),(170,1),(248,1),(263,1),(266,1),(267,1),(363,1),(466,1),(518,1)}
       215:{1,5,7}:{(165,1),(169,1),(172,1),(262,1),(268,1),(542,1)}
       216:{1,4,7}:{(166,1),(170,1),(173,1),(263,1)}
       217:{1,3,7}:{(167,1),(171,1),(174,1),(271,1),(393,1),(436,1),(540,1)}
       218:{1,4,6,7}:{(168,1),(176,1),(249,1),(264,1),(272,1),(353,1)}
       219:{1,5,6}:{(168,1),(169,1),(177,1),(265,1),(272,1)}
       220:{1,4,5}:{(169,1),(170,1),(178,1),(266,1),(274,1),(380,1),(542,1)}
       221:{1,3,4,6}:{(170,1),(171,1),(179,1),(252,1),(267,1),(270,1),(274,1),(275,1),(374,1)}
       222:{2,3,6}:{(171,1),(253,1),(271,1),(275,1),(276,1),(286,1),(501,1)}
       223:{2,5,6}:{(172,1),(185,1),(268,1),(278,1)}
       224:{2,4,5,7}:{(172,1),(173,1),(178,1),(186,1),(269,1),(278,1),(279,1),(375,1)}
       225:{3,4,7}:{(173,1),(174,1),(179,1),(279,1),(540,1)}
       226:{2,3,7}:{(174,1),(175,1),(180,1),(281,1),(393,1)}
       227:{1,4,7}:{(175,1),(181,1),(189,1),(281,1)}
       228:{2,5,7}:{(176,1),(177,1),(190,1),(272,1)}
       229:{2,4,5,6}:{(177,1),(178,1),(191,1),(255,1),(273,1),(278,1),(282,1),(283,1),(379,1),(508,1),(536,1),(549,1)}
       230:{3,5}:{(178,1),(179,1)}
       231:{2,3,4,6}:{(179,1),(180,1),(193,1),(257,1),(275,1),(280,1),(284,1),(285,1),(383,1),(457,1),(514,1),(541,1)}
       232:{1,3,6}:{(180,1),(181,1),(258,1),(281,1),(286,1)}
       233:{4,5,7}:{(182,1),(287,1),(288,1)}
       234:{3,4,6,7}:{(182,1),(183,1),(187,1),(288,1),(289,1),(292,1)}
       235:{2,3,6,7}:{(183,1),(184,1),(188,1),(289,1),(290,1),(383,1)}
       236:{1,6,7}:{(184,1),(189,1),(459,1)}
       237:{3,5,6,7}:{(185,1),(190,1),(277,1),(291,1),(382,1),(548,1)}
       238:{4,6}:{(185,1),(186,1)}
       239:{3,4,5,7}:{(186,1),(187,1),(192,1),(279,1),(288,1),(292,1),(293,1),(539,1),(550,1)}
       240:{2,4,7}:{(187,1),(188,1),(193,1),(294,1)}
       241:{1,3,5,7}:{(188,1),(189,1),(194,1),(281,1),(290,1),(294,1),(295,1),(389,1),(393,1),(468,1)}
       242:{4,5,7}:{(190,1),(191,1),(291,1)}
       243:{2,4,5}:{(192,1),(193,1),(284,1),(296,1),(514,1)}
       244:{1,4,6}:{(193,1),(194,1),(294,1),(296,1),(297,1),(518,1)}
       245:{2,5,6}:{(194,1),(286,1),(295,1),(297,1),(386,1),(464,1)}
       246:{2,6}:{(195,1),(198,1)}
       247:{2,5}:{(196,1),(199,1)}
       248:{2,4}:{(197,1),(200,1),(301,1)}
       249:{1,3,6,7}:{(198,1),(202,1),(218,1),(298,1),(302,1),(312,1),(491,1)}
       250:{1,3,5,6}:{(198,1),(199,1),(203,1),(219,1),(299,1),(302,1),(303,1),(313,1),(396,1),(423,1),(472,1)}
       251:{1,4,5}:{(199,1),(200,1),(204,1),(300,1),(303,1),(314,1)}
       252:{1,3,4}:{(200,1),(201,1),(205,1),(301,1),(305,1),(435,1),(494,1),(528,1)}
       253:{2,3,5}:{(201,1),(222,1),(305,1),(306,1),(310,1),(329,1),(403,1),(473,1),(474,1)}
       254:{2,3,5,7}:{(202,1),(203,1),(228,1),(302,1),(307,1),(337,1),(422,1),(471,1)}
       255:{2,4,6}:{(203,1),(204,1),(303,1),(307,1),(308,1)}
       256:{3,4,5}:{(204,1),(205,1),(230,1),(308,1),(552,1)}
       257:{2,3,4}:{(205,1),(206,1),(305,1),(309,1),(435,1),(474,1)}
       258:{1,3,5}:{(206,1),(207,1),(232,1),(309,1),(310,1)}
       259:{3,4,6,7}:{(209,1),(210,1),(311,1),(312,1),(317,1),(405,1),(407,1),(411,1),(432,1),(498,1),(499,1)}
       260:{3,6}:{(208,1),(212,1)}
       261:{3,5}:{(209,1),(213,1),(314,1)}
       262:{2,5,7}:{(210,1),(213,1),(215,1),(311,1),(315,1),(533,1)}
       263:{2,4,7}:{(211,1),(214,1),(216,1),(317,1),(407,1),(498,1)}
       264:{2,4,6,7}:{(212,1),(218,1),(298,1),(312,1),(318,1),(395,1),(407,1)}
       265:{2,5,6}:{(212,1),(213,1),(219,1),(313,1),(318,1)}
       266:{2,4,5}:{(213,1),(214,1),(220,1),(314,1),(320,1),(329,1),(533,1),(534,1)}
       267:{3,4,6}:{(214,1),(301,1),(317,1),(320,1),(348,1),(396,1),(411,1),(435,1)}
       268:{1,5,6}:{(215,1),(223,1),(315,1),(323,1)}
       269:{1,4,5,7}:{(215,1),(216,1),(220,1),(224,1),(316,1),(323,1),(324,1),(420,1)}
       270:{1,3,4,7}:{(216,1),(217,1),(221,1),(225,1),(317,1),(324,1),(325,1)}
       271:{2,3,7}:{(217,1),(222,1),(325,1),(326,1),(336,1),(520,1)}
       272:{1,5,7}:{(218,1),(219,1),(228,1),(318,1)}
       273:{1,4,5,6}:{(219,1),(220,1),(229,1),(303,1),(319,1),(323,1),(327,1),(328,1),(423,1),(482,1),(522,1)}
       274:{1,3,5}:{(220,1),(221,1),(230,1),(320,1),(329,1)}
       275:{2,4,6}:{(221,1),(222,1),(305,1),(325,1),(329,1),(330,1),(419,1)}
       276:{1,3,6}:{(222,1),(306,1),(326,1),(330,1),(331,1)}
       277:{2,5,6,7}:{(223,1),(228,1),(237,1),(322,1),(332,1),(543,1)}
       278:{2,4,6}:{(223,1),(224,1),(238,1),(323,1),(333,1),(419,1)}
       279:{3,5,7}:{(224,1),(225,1),(230,1),(333,1)}
       280:{2,3,4,7}:{(225,1),(226,1),(231,1),(240,1),(325,1),(334,1),(335,1),(487,1),(531,1)}
       281:{1,3,7}:{(226,1),(227,1),(232,1),(336,1)}
       282:{2,4,5,7}:{(228,1),(229,1),(242,1),(307,1),(327,1),(332,1),(337,1),(422,1),(526,1),(543,1),(551,1)}
       283:{3,5,6}:{(229,1),(230,1),(308,1),(333,1),(337,1),(527,1)}
       284:{2,3,5}:{(230,1),(231,1),(243,1),(329,1),(338,1),(547,1)}
       285:{1,3,4,6}:{(231,1),(232,1),(244,1),(309,1),(330,1),(335,1),(338,1),(339,1),(348,1),(425,1),(426,1),(435,1),(494,1),(499,1),(532,1)}
       286:{2,6}:{(232,1),(310,1),(336,1)}
       287:{4,5,6}:{(233,1),(238,1),(340,1),(552,1)}
       288:{3,5,7}:{(233,1),(234,1),(340,1),(341,1)}
       289:{2,4,6,7}:{(234,1),(235,1),(240,1),(341,1),(342,1),(344,1)}
       290:{1,3,6,7}:{(235,1),(236,1),(241,1),(342,1),(343,1),(426,1),(432,1)}
       291:{4,6,7}:{(237,1),(238,1),(242,1),(551,1)}
       292:{3,4,6}:{(238,1),(239,1),(333,1),(340,1),(344,1)}
       293:{2,4,5,7}:{(239,1),(240,1),(243,1),(334,1),(341,1),(344,1),(345,1),(531,1),(547,1)}
       294:{1,4,7}:{(240,1),(241,1),(244,1),(346,1),(498,1)}
       295:{2,5,7}:{(241,1),(245,1),(336,1),(343,1),(346,1)}
       296:{1,4,5}:{(243,1),(244,1),(338,1),(347,1),(494,1),(534,1)}
       297:{2,4,6}:{(244,1),(245,1),(346,1),(347,1),(348,1)}
       298:{2,6,7}:{(246,1),(249,1),(349,1)}
       299:{2,5,6}:{(246,1),(247,1),(250,1),(349,1),(350,1),(501,1)}
       300:{2,4,5}:{(247,1),(248,1),(251,1),(350,1),(351,1)}
       301:{3,4}:{(248,1),(351,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(254,1),(272,1),(349,1),(353,1),(362,1),(436,1),(462,1),(500,1)}
       303:{1,4,6}:{(250,1),(251,1),(255,1),(350,1),(353,1),(363,1)}
       304:{1,3,4,5}:{(251,1),(252,1),(256,1),(274,1),(351,1),(354,1),(355,1),(364,1),(438,1),(449,1),(509,1)}
       305:{2,4}:{(252,1),(253,1),(356,1)}
       306:{1,3,5}:{(253,1),(276,1),(356,1),(357,1),(380,1),(442,1)}
       307:{2,4,7}:{(254,1),(255,1),(353,1),(358,1)}
       308:{3,4,6}:{(255,1),(256,1),(283,1),(358,1),(549,1)}
       309:{1,3,4}:{(257,1),(258,1),(356,1),(359,1),(442,1)}
       310:{2,5}:{(258,1),(286,1),(359,1)}
       311:{3,5,7}:{(259,1),(261,1),(262,1),(360,1),(361,1),(519,1)}
       312:{3,6,7}:{(260,1),(264,1),(362,1),(436,1)}
       313:{3,5,6}:{(260,1),(261,1),(265,1),(362,1),(363,1)}
       314:{4,5}:{(261,1),(363,1)}
       315:{2,5,6}:{(262,1),(268,1),(360,1),(366,1)}
       316:{2,4,5,7}:{(262,1),(263,1),(266,1),(269,1),(361,1),(366,1),(367,1),(375,1)}
       317:{3,4,7}:{(263,1),(267,1),(367,1),(393,1),(436,1)}
       318:{2,5,7}:{(264,1),(265,1),(272,1),(362,1)}
       319:{2,4,5,6}:{(265,1),(266,1),(273,1),(350,1),(363,1),(366,1),(369,1),(370,1),(379,1),(443,1),(448,1),(503,1)}
       320:{3,5}:{(266,1),(267,1)}
       321:{2,3,4,6}:{(267,1),(275,1),(352,1),(368,1),(371,1),(372,1),(387,1),(437,1),(448,1),(451,1),(466,1),(517,1)}
       322:{1,5,6,7}:{(268,1),(272,1),(277,1),(365,1),(373,1),(535,1)}
       323:{1,4,6}:{(268,1),(269,1),(278,1),(366,1),(374,1),(459,1)}
       324:{1,3,5,7}:{(269,1),(270,1),(274,1),(279,1),(367,1),(374,1),(375,1)}
       325:{2,4,7}:{(270,1),(271,1),(275,1),(375,1),(376,1)}
       326:{1,3,7}:{(271,1),(276,1),(376,1),(377,1)}
       327:{1,4,5,7}:{(272,1),(273,1),(282,1),(353,1),(369,1),(373,1),(378,1),(462,1),(507,1),(535,1)}
       328:{1,3,5,6}:{(273,1),(274,1),(283,1),(354,1),(370,1),(374,1),(378,1),(379,1)}
       329:{2,5}:{(274,1),(275,1),(380,1)}
       330:{1,4,6}:{(275,1),(276,1),(356,1),(376,1),(380,1),(459,1)}
       331:{1,2,6}:{(276,1),(286,1),(357,1),(377,1),(501,1)}
       332:{2,4,6,7}:{(277,1),(278,1),(282,1),(291,1),(373,1),(382,1),(458,1)}
       333:{3,6}:{(278,1),(279,1)}
       334:{2,3,5,7}:{(279,1),(280,1),(284,1),(293,1),(375,1),(383,1),(384,1)}
       335:{1,3,4,7}:{(280,1),(281,1),(285,1),(294,1),(376,1),(384,1),(385,1),(393,1),(461,1),(470,1),(516,1)}
       336:{2,7}:{(281,1),(286,1)}
       337:{3,5,7}:{(282,1),(283,1),(358,1),(382,1),(540,1)}
       338:{1,3,5}:{(284,1),(285,1),(296,1),(380,1),(386,1),(394,1),(519,1),(542,1)}
       339:{2,4,6}:{(285,1),(286,1),(359,1),(385,1),(386,1),(387,1),(464,1),(466,1)}
       340:{3,5,6}:{(287,1),(288,1),(292,1),(388,1),(550,1)}
       341:{2,5,7}:{(288,1),(289,1),(388,1),(389,1)}
       342:{1,4,6,7}:{(289,1),(290,1),(294,1),(389,1),(390,1),(391,1)}
       343:{2,6,7}:{(290,1),(295,1),(464,1)}
       344:{2,4,6}:{(292,1),(293,1),(383,1),(388,1),(391,1)}
       345:{1,4,5,7}:{(293,1),(294,1),(296,1),(384,1),(389,1),(391,1),(392,1),(516,1),(542,1)}
       346:{2,4,7}:{(294,1),(295,1),(297,1),(393,1)}
       347:{2,4,5}:{(296,1),(297,1),(386,1),(394,1),(466,1)}
       348:{3,6}:{(297,1),(393,1),(394,1)}
       349:{2,5,7}:{(298,1),(299,1),(302,1),(395,1),(520,1)}
       350:{2,4,6}:{(299,1),(300,1),(303,1),(395,1),(396,1)}
       351:{3,5}:{(300,1),(301,1),(396,1)}
       352:{2,3,4}:{(301,1),(305,1),(397,1),(398,1),(403,1),(528,1)}
       353:{1,4,7}:{(302,1),(303,1),(307,1),(395,1),(407,1)}
       354:{1,3,4,6}:{(303,1),(304,1),(308,1),(328,1),(396,1),(399,1),(400,1),(408,1),(472,1),(482,1),(527,1)}
       355:{2,4,5}:{(304,1),(305,1),(329,1),(397,1),(400,1),(401,1),(473,1)}
       356:{1,4}:{(305,1),(306,1)}
       357:{1,2,5}:{(306,1),(310,1),(331,1),(402,1),(473,1)}
       358:{3,4,7}:{(307,1),(308,1),(337,1),(551,1)}
       359:{2,4}:{(309,1),(310,1),(403,1)}
       360:{3,5,6}:{(311,1),(315,1),(405,1),(411,1)}
       361:{4,5,7}:{(311,1),(314,1),(405,1),(407,1),(498,1),(534,1)}
       362:{3,5,7}:{(312,1),(313,1),(318,1),(407,1)}
       363:{4,6}:{(313,1),(314,1),(407,1)}
       364:{3,4,5}:{(314,1),(320,1),(408,1),(409,1),(435,1)}
       365:{2,5,6,7}:{(315,1),(318,1),(322,1),(404,1),(410,1),(521,1)}
       366:{2,4,6}:{(315,1),(316,1),(323,1),(405,1),(411,1),(419,1)}
       367:{3,5,7}:{(316,1),(317,1),(320,1),(411,1)}
       368:{2,3,4,7}:{(317,1),(321,1),(325,1),(412,1),(413,1),(428,1),(471,1),(481,1),(496,1)}
       369:{2,4,5,7}:{(318,1),(319,1),(327,1),(395,1),(407,1),(410,1),(414,1),(422,1),(476,1),(481,1),(521,1)}
       370:{3,5,6}:{(319,1),(320,1),(396,1),(408,1),(411,1),(414,1)}
       371:{2,3,5}:{(320,1),(321,1),(329,1),(409,1),(416,1),(533,1)}
       372:{1,3,4,6}:{(321,1),(330,1),(398,1),(413,1),(416,1),(417,1),(425,1),(472,1),(482,1),(485,1),(494,1),(527,1),(528,1),(532,1),(546,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(327,1),(332,1),(410,1),(418,1),(491,1)}
       374:{1,3,6}:{(323,1),(324,1),(333,1),(411,1),(419,1)}
       375:{2,5,7}:{(324,1),(325,1),(329,1),(419,1),(420,1)}
       376:{1,4,7}:{(325,1),(326,1),(330,1),(420,1)}
       377:{1,2,7}:{(326,1),(331,1),(336,1),(520,1)}
       378:{1,3,5,7}:{(327,1),(328,1),(337,1),(399,1),(414,1),(418,1),(422,1)}
       379:{2,5,6}:{(328,1),(329,1),(400,1),(419,1),(422,1),(423,1)}
       380:{1,5}:{(329,1),(330,1)}
       381:{1,2,4,6}:{(330,1),(331,1),(339,1),(402,1),(417,1),(421,1),(424,1),(425,1),(492,1),(494,1),(532,1)}
       382:{3,6,7}:{(332,1),(333,1),(337,1)}
       383:{2,3,6}:{(333,1),(334,1),(344,1),(419,1),(426,1)}
       384:{1,3,5,7}:{(334,1),(335,1),(338,1),(345,1),(420,1),(426,1),(427,1),(434,1)}
       385:{2,4,7}:{(335,1),(336,1),(339,1),(427,1),(428,1)}
       386:{2,5}:{(338,1),(339,1)}
       387:{2,3,6}:{(339,1),(348,1),(403,1),(425,1),(428,1),(429,1)}
       388:{2,5,6}:{(340,1),(341,1),(344,1),(430,1),(547,1)}
       389:{1,5,7}:{(341,1),(342,1),(430,1),(431,1)}
       390:{2,4,6,7}:{(342,1),(343,1),(346,1),(431,1),(432,1),(433,1),(498,1)}
       391:{1,4,6}:{(344,1),(345,1),(426,1),(430,1),(433,1)}
       392:{2,4,5,7}:{(345,1),(346,1),(347,1),(427,1),(431,1),(433,1),(434,1),(496,1),(498,1),(533,1),(534,1)}
       393:{3,7}:{(346,1),(348,1)}
       394:{3,5}:{(347,1),(348,1),(435,1)}
       395:{2,4,7}:{(349,1),(350,1),(353,1),(436,1)}
       396:{3,6}:{(350,1),(351,1),(436,1)}
       397:{2,3,5}:{(351,1),(352,1),(355,1),(437,1),(438,1),(509,1)}
       398:{1,3,4}:{(352,1),(356,1),(438,1),(439,1),(442,1)}
       399:{1,3,4,7}:{(353,1),(354,1),(358,1),(378,1),(436,1),(440,1),(447,1),(500,1),(507,1),(540,1)}
       400:{2,4,6}:{(354,1),(355,1),(379,1),(437,1),(440,1),(441,1),(501,1)}
       401:{1,4,5}:{(355,1),(356,1),(380,1),(438,1),(441,1)}
       402:{1,2,4}:{(356,1),(357,1),(359,1),(439,1),(442,1)}
       403:{2,3}:{(359,1),(442,1)}
       404:{3,5,6,7}:{(360,1),(362,1),(365,1),(444,1),(450,1),(502,1)}
       405:{4,6}:{(360,1),(361,1)}
       406:{3,4,5,7}:{(361,1),(364,1),(367,1),(445,1),(446,1),(447,1),(470,1),(502,1),(519,1)}
       407:{4,7}:{(362,1),(363,1)}
       408:{3,4,6}:{(363,1),(364,1),(370,1),(447,1),(448,1)}
       409:{2,4,5}:{(364,1),(371,1),(448,1),(449,1),(466,1)}
       410:{2,4,6,7}:{(365,1),(366,1),(369,1),(373,1),(444,1),(450,1),(458,1)}
       411:{3,6}:{(366,1),(367,1)}
       412:{2,3,5,7}:{(367,1),(368,1),(371,1),(375,1),(446,1),(451,1),(452,1)}
       413:{1,3,4,7}:{(368,1),(372,1),(376,1),(452,1),(453,1),(461,1),(500,1),(507,1),(516,1),(539,1),(540,1)}
       414:{3,5,7}:{(369,1),(370,1),(436,1),(447,1),(450,1)}
       415:{2,3,5,6}:{(370,1),(371,1),(379,1),(437,1),(448,1),(451,1),(454,1),(455,1),(503,1)}
       416:{1,3,5}:{(371,1),(372,1),(380,1),(449,1),(456,1),(509,1),(542,1),(550,1)}
       417:{2,4,6}:{(372,1),(439,1),(453,1),(456,1),(457,1),(501,1),(511,1),(514,1)}
       418:{1,3,6,7}:{(373,1),(374,1),(378,1),(382,1),(450,1),(458,1)}
       419:{2,6}:{(374,1),(375,1),(459,1)}
       420:{1,5,7}:{(375,1),(376,1),(380,1),(459,1)}
       421:{1,2,4,7}:{(376,1),(377,1),(381,1),(385,1),(453,1),(460,1),(461,1),(516,1)}
       422:{2,5,7}:{(378,1),(379,1),(440,1),(458,1),(462,1)}
       423:{1,5,6}:{(379,1),(380,1),(441,1),(459,1),(462,1)}
       424:{1,2,5}:{(380,1),(381,1),(386,1),(456,1),(463,1),(542,1)}
       425:{1,3,6}:{(381,1),(387,1),(442,1),(457,1),(461,1),(463,1)}
       426:{1,3,6}:{(383,1),(384,1),(391,1),(459,1),(464,1),(469,1)}
       427:{2,5,7}:{(384,1),(385,1),(386,1),(464,1)}
       428:{2,3,7}:{(385,1),(387,1),(393,1),(461,1)}
       429:{2,3,5}:{(386,1),(387,1),(394,1),(463,1),(466,1)}
       430:{1,5,6}:{(388,1),(389,1),(391,1),(467,1),(542,1)}
       431:{2,5,7}:{(389,1),(390,1),(467,1),(468,1)}
       432:{3,6,7}:{(390,1),(393,1),(468,1),(469,1)}
       433:{2,4,6}:{(391,1),(392,1),(464,1),(467,1),(469,1),(518,1)}
       434:{3,5,7}:{(392,1),(393,1),(394,1),(469,1),(470,1),(519,1)}
       435:{3,4}:{(394,1),(466,1)}
       436:{3,7}:{(395,1),(396,1)}
       437:{2,3,6}:{(396,1),(397,1),(400,1),(471,1),(472,1),(527,1)}
       438:{1,3,5}:{(397,1),(398,1),(401,1),(472,1),(473,1)}
       439:{2,4}:{(398,1),(473,1),(474,1)}
       440:{2,4,7}:{(399,1),(400,1),(422,1),(471,1),(475,1),(520,1)}
       441:{1,4,6}:{(400,1),(401,1),(423,1),(472,1),(475,1)}
       442:{1,3}:{(402,1),(403,1),(474,1)}
       443:{4,5,6}:{(405,1),(476,1),(477,1),(534,1)}
       444:{4,6,7}:{(404,1),(405,1),(407,1),(476,1)}
       445:{3,4,6}:{(405,1),(406,1),(411,1),(477,1),(479,1)}
       446:{2,4,5,7}:{(406,1),(409,1),(412,1),(479,1),(480,1),(481,1),(496,1),(521,1),(533,1)}
       447:{3,4,7}:{(407,1),(408,1),(414,1),(481,1)}
       448:{2,4,6}:{(408,1),(409,1),(415,1),(481,1),(482,1)}
       449:{1,4,5}:{(409,1),(416,1),(482,1),(483,1),(494,1),(552,1)}
       450:{3,6,7}:{(410,1),(411,1),(414,1)}
       451:{2,3,6}:{(411,1),(412,1),(419,1),(479,1),(485,1)}
       452:{1,3,5,7}:{(412,1),(413,1),(416,1),(420,1),(480,1),(485,1),(486,1),(525,1)}
       453:{2,4,7}:{(413,1),(417,1),(486,1),(487,1),(520,1)}
       454:{2,3,5,7}:{(414,1),(415,1),(422,1),(471,1),(481,1),(484,1),(488,1),(521,1)}
       455:{1,3,5,6}:{(415,1),(416,1),(423,1),(472,1),(482,1),(485,1),(488,1),(489,1),(522,1),(527,1),(544,1)}
       456:{2,5}:{(416,1),(417,1)}
       457:{2,3,6}:{(417,1),(425,1),(474,1),(487,1),(490,1),(527,1)}
       458:{2,6,7}:{(418,1),(419,1),(422,1),(491,1)}
       459:{1,6}:{(419,1),(420,1)}
       460:{1,2,5,7}:{(420,1),(421,1),(424,1),(427,1),(486,1),(492,1),(493,1)}
       461:{1,3,7}:{(421,1),(425,1),(428,1),(487,1)}
       462:{1,5,7}:{(422,1),(423,1),(475,1),(491,1)}
       463:{1,3,5}:{(424,1),(425,1),(429,1),(490,1),(494,1)}
       464:{2,6}:{(426,1),(427,1)}
       465:{2,3,5,7}:{(427,1),(428,1),(429,1),(434,1),(493,1),(495,1),(496,1),(533,1)}
       466:{2,4}:{(429,1),(435,1),(494,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(497,1),(533,1)}
       468:{3,5,7}:{(431,1),(432,1),(497,1),(498,1)}
       469:{3,6}:{(433,1),(434,1)}
       470:{3,4,7}:{(434,1),(435,1),(496,1),(498,1),(499,1)}
       471:{2,3,7}:{(436,1),(437,1),(440,1),(500,1),(540,1)}
       472:{1,3,6}:{(437,1),(438,1),(441,1),(500,1),(501,1)}
       473:{2,5}:{(438,1),(439,1),(501,1)}
       474:{2,3}:{(439,1),(442,1)}
       475:{1,4,7}:{(440,1),(441,1),(462,1),(500,1)}
       476:{4,5,7}:{(443,1),(444,1),(502,1)}
       477:{3,5,6}:{(443,1),(445,1),(502,1),(503,1),(519,1)}
       478:{3,4,6,7}:{(444,1),(445,1),(447,1),(450,1),(502,1),(504,1)}
       479:{2,4,6}:{(445,1),(446,1),(451,1),(503,1),(505,1)}
       480:{1,4,5,7}:{(446,1),(449,1),(452,1),(505,1),(506,1),(507,1),(516,1),(535,1),(542,1)}
       481:{2,4,7}:{(447,1),(448,1),(454,1),(507,1)}
       482:{1,4,6}:{(448,1),(449,1),(455,1),(507,1),(508,1),(549,1)}
       483:{2,4,5}:{(449,1),(456,1),(508,1),(509,1),(514,1)}
       484:{2,3,6,7}:{(450,1),(451,1),(454,1),(458,1),(504,1),(510,1)}
       485:{1,3,6}:{(451,1),(452,1),(459,1),(505,1),(511,1),(538,1)}
       486:{2,5,7}:{(452,1),(453,1),(456,1),(511,1)}
       487:{2,3,7}:{(453,1),(457,1),(461,1),(540,1)}
       488:{1,3,5,7}:{(454,1),(455,1),(462,1),(500,1),(507,1),(510,1),(513,1),(535,1),(540,1),(548,1)}
       489:{2,5,6}:{(455,1),(456,1),(501,1),(508,1),(511,1),(513,1)}
       490:{2,3,5}:{(456,1),(457,1),(463,1),(509,1),(514,1)}
       491:{1,6,7}:{(458,1),(459,1),(462,1)}
       492:{1,2,6}:{(459,1),(460,1),(464,1),(511,1),(515,1)}
       493:{1,3,5,7}:{(460,1),(461,1),(463,1),(465,1),(512,1),(515,1),(516,1),(542,1)}
       494:{1,4}:{(463,1),(466,1),(514,1)}
       495:{2,3,6}:{(464,1),(465,1),(469,1),(515,1),(517,1)}
       496:{2,4,7}:{(465,1),(466,1),(470,1),(516,1),(517,1)}
       497:{3,5,6}:{(467,1),(468,1),(469,1),(518,1),(519,1)}
       498:{4,7}:{(468,1),(518,1)}
       499:{3,4,6}:{(469,1),(470,1),(517,1),(518,1),(519,1)}
       500:{1,3,7}:{(471,1),(472,1),(475,1),(520,1)}
       501:{2,6}:{(472,1),(473,1),(520,1)}
       502:{3,5,7}:{(476,1),(477,1),(478,1),(521,1)}
       503:{2,5,6}:{(477,1),(479,1),(521,1),(522,1),(533,1)}
       504:{2,4,6,7}:{(478,1),(479,1),(481,1),(484,1),(521,1),(523,1)}
       505:{1,4,6}:{(479,1),(480,1),(485,1),(522,1),(524,1)}
       506:{2,4,5,7}:{(480,1),(483,1),(486,1),(524,1),(525,1),(526,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       507:{1,4,7}:{(481,1),(482,1),(488,1),(526,1),(551,1)}
       508:{2,4,6}:{(482,1),(483,1),(489,1),(526,1),(527,1)}
       509:{3,5}:{(483,1),(527,1),(528,1)}
       510:{1,3,6,7}:{(484,1),(485,1),(488,1),(491,1),(523,1),(529,1),(545,1)}
       511:{2,6}:{(485,1),(486,1)}
       512:{2,3,5,7}:{(486,1),(487,1),(490,1),(493,1),(525,1),(530,1),(531,1),(547,1)}
       513:{2,5,7}:{(488,1),(489,1),(520,1),(526,1),(529,1)}
       514:{2,4}:{(490,1),(494,1),(528,1)}
       515:{1,3,6}:{(492,1),(493,1),(495,1),(530,1),(532,1)}
       516:{1,4,7}:{(493,1),(494,1),(496,1),(531,1),(532,1)}
       517:{2,4,6}:{(495,1),(496,1),(499,1),(532,1),(533,1)}
       518:{4,6}:{(497,1),(498,1),(534,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,7}:{(500,1),(501,1)}
       521:{2,5,7}:{(502,1),(503,1),(504,1),(535,1)}
       522:{1,5,6}:{(503,1),(505,1),(535,1),(536,1),(542,1)}
       523:{1,4,6,7}:{(504,1),(505,1),(507,1),(510,1),(535,1),(537,1)}
       524:{2,4,6}:{(505,1),(506,1),(511,1),(536,1),(538,1),(549,1)}
       525:{3,5,7}:{(506,1),(509,1),(538,1),(539,1),(540,1),(550,1)}
       526:{2,4,7}:{(507,1),(508,1),(513,1),(540,1)}
       527:{3,6}:{(508,1),(509,1),(540,1)}
       528:{3,4}:{(509,1),(514,1)}
       529:{2,6,7}:{(510,1),(511,1),(513,1)}
       530:{2,3,6}:{(511,1),(512,1),(515,1),(538,1),(541,1)}
       531:{2,4,7}:{(512,1),(514,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(519,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{1,5,7}:{(521,1),(522,1),(523,1),(543,1)}
       536:{2,5,6}:{(522,1),(524,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(523,1),(524,1),(526,1),(529,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(524,1),(525,1)}
       539:{3,4,7}:{(525,1),(528,1),(531,1),(546,1),(551,1)}
       540:{3,7}:{(526,1),(527,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 369 :   0:{3,4,5}:{(2,1),(3,1),(89,1),(124,1)}
         1:{4,5,6}:{(6,1),(7,1),(135,1),(148,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(9,1)}
         3:{2,4,5}:{(0,1),(4,1),(9,1),(10,1),(73,1),(110,1)}
         4:{2,3,5}:{(3,1),(11,1),(12,1),(13,1)}
         5:{5,6,7}:{(14,1),(151,1)}
         6:{4,5,7}:{(1,1),(14,1),(15,1)}
         7:{3,5,6}:{(1,1),(2,1),(15,1),(16,1),(124,1),(145,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1)}
         9:{2,4,6}:{(2,1),(3,1),(12,1),(16,1),(17,1),(18,1)}
        10:{1,4,5}:{(3,1),(13,1),(18,1),(19,1),(59,1),(94,1)}
        11:{2,3,4}:{(4,1),(20,1),(69,1),(73,1)}
        12:{2,3,6}:{(4,1),(9,1),(21,1),(22,1)}
        13:{1,3,5}:{(4,1),(10,1),(20,1),(22,1),(23,1),(29,1)}
        14:{4,6,7}:{(5,1),(6,1),(24,1),(148,1)}
        15:{3,5,7}:{(6,1),(7,1),(8,1),(24,1),(25,1)}
        16:{2,5,6}:{(7,1),(9,1),(25,1),(26,1),(110,1),(139,1)}
        17:{2,4,7}:{(8,1),(9,1),(21,1),(25,1),(27,1)}
        18:{1,4,6}:{(9,1),(10,1),(22,1),(26,1),(27,1),(28,1)}
        19:{2,4,5}:{(10,1),(23,1),(28,1),(29,1),(47,1),(78,1),(82,1)}
        20:{1,3,4}:{(11,1),(13,1),(30,1),(40,1),(54,1),(59,1)}
        21:{2,3,7}:{(12,1),(17,1),(32,1)}
        22:{1,3,6}:{(12,1),(13,1),(18,1),(32,1),(33,1),(39,1)}
        23:{2,5}:{(13,1),(30,1),(33,1)}
        24:{3,6,7}:{(14,1),(15,1),(35,1),(145,1)}
        25:{2,5,7}:{(15,1),(16,1),(17,1),(35,1),(36,1)}
        26:{1,5,6}:{(16,1),(18,1),(36,1),(37,1),(94,1),(129,1)}
        27:{1,4,7}:{(17,1),(18,1),(32,1),(36,1),(38,1)}
        28:{2,4,6}:{(18,1),(19,1),(33,1),(37,1),(38,1),(39,1),(65,1)}
        29:{3,5}:{(19,1),(39,1),(40,1)}
        30:{2,4}:{(20,1),(23,1),(42,1)}
        31:{1,2,5}:{(23,1),(41,1),(43,1),(44,1),(104,1)}
        32:{1,3,7}:{(21,1),(22,1),(27,1),(45,1),(51,1)}
        33:{2,6}:{(22,1),(23,1),(45,1)}
        34:{2,3,5}:{(23,1),(29,1),(42,1),(44,1),(46,1),(47,1),(78,1)}
        35:{2,6,7}:{(24,1),(25,1),(48,1),(139,1)}
        36:{1,5,7}:{(25,1),(26,1),(27,1),(48,1),(49,1)}
        37:{2,5,6}:{(26,1),(28,1),(49,1),(50,1),(78,1),(115,1)}
        38:{2,4,7}:{(27,1),(28,1),(45,1),(49,1),(51,1),(81,1)}
        39:{3,6}:{(28,1),(29,1),(51,1)}
        40:{3,4}:{(29,1),(47,1)}
        41:{1,2,4}:{(30,1),(31,1),(54,1),(59,1),(86,1)}
        42:{2,3}:{(30,1),(54,1)}
        43:{1,2,6}:{(31,1),(33,1),(57,1),(58,1),(121,1)}
        44:{1,3,5}:{(31,1),(34,1),(54,1),(56,1),(58,1),(59,1),(94,1)}
        45:{2,7}:{(32,1),(33,1)}
        46:{2,3,6}:{(33,1),(34,1),(39,1),(58,1),(60,1),(61,1)}
        47:{2,4}:{(34,1),(40,1),(59,1)}
        48:{1,6,7}:{(35,1),(36,1),(63,1),(129,1)}
        49:{2,5,7}:{(36,1),(37,1),(38,1),(63,1),(64,1)}
        50:{3,5,6}:{(37,1),(39,1),(64,1),(65,1),(67,1),(102,1),(132,1)}
        51:{3,7}:{(38,1),(39,1)}
        52:{3,4,6}:{(39,1),(40,1),(61,1),(65,1),(66,1),(67,1),(102,1)}
        53:{3,4,5}:{(40,1),(62,1),(67,1),(68,1)}
        54:{1,3}:{(41,1),(42,1),(69,1)}
        55:{2,3,4}:{(42,1),(47,1),(70,1),(71,1)}
        56:{2,3,5}:{(44,1),(69,1),(72,1),(73,1),(104,1),(108,1),(110,1)}
        57:{1,2,7}:{(43,1),(45,1),(74,1),(134,1)}
        58:{1,3,6}:{(43,1),(44,1),(46,1),(72,1),(74,1),(75,1)}
        59:{1,4}:{(44,1),(47,1),(73,1)}
        60:{2,3,7}:{(45,1),(46,1),(51,1),(74,1),(77,1)}
        61:{2,4,6}:{(46,1),(47,1),(52,1),(75,1),(77,1),(78,1),(115,1)}
        62:{2,4,5}:{(47,1),(53,1),(71,1),(76,1),(78,1),(79,1)}
        63:{2,6,7}:{(48,1),(49,1),(80,1),(115,1)}
        64:{3,5,7}:{(49,1),(50,1),(51,1),(80,1),(81,1),(117,1)}
        65:{4,6}:{(50,1),(81,1),(82,1)}
        66:{3,4,7}:{(51,1),(52,1),(77,1),(81,1),(83,1)}
        67:{3,5}:{(52,1),(78,1),(82,1)}
        68:{3,4,6}:{(53,1),(79,1),(84,1),(85,1)}
        69:{2,3}:{(54,1),(86,1)}
        70:{1,3,4}:{(54,1),(55,1),(59,1),(86,1),(87,1),(89,1)}
        71:{2,3,5}:{(55,1),(62,1),(87,1),(88,1)}
        72:{2,3,6}:{(56,1),(58,1),(90,1),(91,1),(121,1),(125,1)}
        73:{2,4}:{(56,1),(59,1),(89,1)}
        74:{1,3,7}:{(57,1),(58,1),(60,1),(90,1),(93,1)}
        75:{1,4,6}:{(58,1),(59,1),(61,1),(91,1),(93,1),(94,1),(129,1)}
        76:{1,4,5}:{(59,1),(62,1),(87,1),(92,1),(94,1),(95,1)}
        77:{2,4,7}:{(60,1),(61,1),(66,1),(93,1),(96,1)}
        78:{2,5}:{(61,1),(67,1),(94,1)}
        79:{2,4,6}:{(62,1),(68,1),(88,1),(95,1),(97,1),(98,1)}
        80:{3,6,7}:{(63,1),(64,1),(99,1),(102,1)}
        81:{4,7}:{(64,1),(65,1)}
        82:{4,5}:{(65,1),(67,1)}
        83:{3,5,7}:{(66,1),(67,1),(96,1),(100,1),(102,1)}
        84:{3,5,6}:{(67,1),(68,1),(97,1),(101,1),(102,1),(103,1)}
        85:{3,4,7}:{(68,1),(98,1),(103,1)}
        86:{2,4}:{(69,1),(70,1),(104,1)}
        87:{1,3,5}:{(70,1),(71,1),(76,1),(104,1),(105,1),(108,1)}
        88:{2,3,6}:{(71,1),(79,1),(105,1),(106,1)}
        89:{3,4}:{(73,1),(108,1)}
        90:{2,3,7}:{(72,1),(74,1),(109,1),(134,1),(138,1)}
        91:{2,4,6}:{(72,1),(73,1),(75,1),(107,1),(109,1),(110,1),(139,1)}
        92:{2,4,5}:{(73,1),(76,1),(104,1),(108,1),(110,1),(111,1),(135,1)}
        93:{1,4,7}:{(74,1),(75,1),(77,1),(109,1),(112,1)}
        94:{1,5}:{(75,1),(78,1),(110,1)}
        95:{1,4,6}:{(76,1),(79,1),(105,1),(111,1),(113,1),(114,1)}
        96:{2,5,7}:{(77,1),(78,1),(83,1),(112,1),(115,1)}
        97:{2,5,6}:{(78,1),(79,1),(84,1),(113,1),(115,1),(116,1)}
        98:{2,4,7}:{(79,1),(85,1),(106,1),(114,1),(116,1)}
        99:{4,6,7}:{(80,1),(81,1),(117,1),(118,1)}
       100:{4,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       101:{4,5,6}:{(82,1),(84,1),(118,1),(119,1)}
       102:{3,6}:{(83,1),(115,1),(118,1)}
       103:{3,5,7}:{(84,1),(85,1),(116,1),(119,1),(120,1)}
       104:{2,5}:{(86,1),(87,1),(121,1)}
       105:{1,3,6}:{(87,1),(88,1),(95,1),(121,1),(122,1),(125,1)}
       106:{2,3,7}:{(88,1),(98,1),(122,1)}
       107:{3,4,6}:{(89,1),(91,1),(123,1),(124,1),(125,1),(144,1),(145,1)}
       108:{3,5}:{(89,1),(92,1),(125,1)}
       109:{2,4,7}:{(90,1),(91,1),(93,1),(123,1),(126,1)}
       110:{2,5}:{(91,1),(94,1),(124,1)}
       111:{2,4,6}:{(92,1),(95,1),(121,1),(125,1),(127,1),(128,1),(144,1)}
       112:{1,5,7}:{(93,1),(94,1),(96,1),(126,1),(129,1)}
       113:{1,5,6}:{(94,1),(95,1),(97,1),(127,1),(129,1),(130,1)}
       114:{1,4,7}:{(95,1),(98,1),(122,1),(128,1),(130,1)}
       115:{2,6}:{(96,1),(102,1),(129,1)}
       116:{2,5,7}:{(97,1),(98,1),(103,1),(130,1),(131,1)}
       117:{5,7}:{(99,1),(132,1)}
       118:{4,6}:{(100,1),(102,1),(132,1)}
       119:{4,5,7}:{(101,1),(103,1),(133,1)}
       120:{3,6,7}:{(102,1),(103,1),(131,1),(133,1)}
       121:{2,6}:{(104,1),(105,1),(134,1)}
       122:{1,3,7}:{(105,1),(106,1),(114,1),(134,1),(138,1)}
       123:{3,4,7}:{(107,1),(109,1),(136,1),(138,1),(149,1)}
       124:{3,5}:{(107,1),(110,1),(135,1)}
       125:{3,6}:{(108,1),(111,1),(138,1)}
       126:{2,5,7}:{(109,1),(110,1),(112,1),(136,1),(139,1)}
       127:{2,5,6}:{(110,1),(111,1),(113,1),(137,1),(139,1),(140,1)}
       128:{2,4,7}:{(111,1),(114,1),(134,1),(138,1),(140,1),(149,1)}
       129:{1,6}:{(112,1),(115,1),(139,1)}
       130:{1,5,7}:{(113,1),(114,1),(116,1),(140,1),(141,1)}
       131:{2,6,7}:{(115,1),(116,1),(120,1),(141,1)}
       132:{5,6}:{(117,1),(118,1)}
       133:{4,6,7}:{(118,1),(119,1),(120,1),(142,1)}
       134:{2,7}:{(121,1),(122,1)}
       135:{4,5}:{(124,1),(144,1)}
       136:{3,5,7}:{(123,1),(124,1),(126,1),(143,1),(145,1)}
       137:{3,5,6}:{(124,1),(125,1),(127,1),(144,1),(145,1),(146,1),(151,1)}
       138:{3,7}:{(125,1),(128,1)}
       139:{2,6}:{(126,1),(129,1),(145,1)}
       140:{2,5,7}:{(127,1),(128,1),(130,1),(146,1),(147,1)}
       141:{1,6,7}:{(129,1),(130,1),(131,1),(147,1)}
       142:{5,6,7}:{(132,1),(133,1)}
       143:{4,5,7}:{(135,1),(136,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(135,1),(137,1),(149,1)}
       145:{3,6}:{(136,1),(139,1),(148,1)}
       146:{3,5,7}:{(137,1),(138,1),(140,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 370 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(127,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(105,1),(127,1)}
         5:{3,4,6}:{(3,1),(4,1),(10,1),(11,1)}
         6:{4,6,7}:{(1,1),(2,1),(12,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(10,1),(12,1),(13,1)}
         8:{2,5,6}:{(3,1),(11,1),(13,1),(14,1),(114,1),(139,1)}
         9:{2,4,5}:{(4,1),(11,1),(15,1),(16,1),(88,1),(114,1)}
        10:{3,4,7}:{(5,1),(7,1),(19,1)}
        11:{2,4,6}:{(5,1),(8,1),(9,1),(18,1),(19,1),(20,1)}
        12:{3,6,7}:{(6,1),(7,1),(21,1),(145,1)}
        13:{2,5,7}:{(7,1),(8,1),(19,1),(21,1),(22,1)}
        14:{1,5,6}:{(8,1),(20,1),(22,1),(23,1),(98,1),(130,1)}
        15:{2,3,5}:{(9,1),(17,1),(18,1),(24,1)}
        16:{1,4,5}:{(9,1),(20,1),(24,1),(25,1),(72,1),(98,1)}
        17:{2,3,4}:{(15,1),(26,1),(75,1),(88,1)}
        18:{2,3,6}:{(11,1),(15,1),(27,1),(28,1)}
        19:{2,4,7}:{(10,1),(11,1),(13,1),(27,1),(29,1)}
        20:{1,4,6}:{(11,1),(14,1),(16,1),(28,1),(29,1),(30,1)}
        21:{2,6,7}:{(12,1),(13,1),(31,1),(139,1)}
        22:{1,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        23:{2,5,6}:{(14,1),(30,1),(32,1),(33,1),(82,1),(117,1)}
        24:{1,3,5}:{(15,1),(16,1),(26,1),(28,1),(34,1),(35,1)}
        25:{2,4,5}:{(16,1),(30,1),(34,1),(35,1),(56,1),(58,1),(82,1)}
        26:{1,3,4}:{(17,1),(24,1),(36,1),(46,1),(60,1),(72,1)}
        27:{2,3,7}:{(18,1),(19,1),(37,1)}
        28:{1,3,6}:{(18,1),(20,1),(24,1),(37,1),(38,1),(40,1)}
        29:{1,4,7}:{(19,1),(20,1),(22,1),(37,1),(39,1)}
        30:{2,4,6}:{(20,1),(23,1),(25,1),(38,1),(39,1),(40,1),(43,1)}
        31:{1,6,7}:{(21,1),(22,1),(41,1),(130,1)}
        32:{2,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1)}
        33:{3,5,6}:{(23,1),(40,1),(42,1),(43,1),(67,1),(101,1),(103,1)}
        34:{2,5}:{(24,1),(36,1),(38,1)}
        35:{3,5}:{(25,1),(40,1),(46,1)}
        36:{2,4}:{(26,1),(34,1),(48,1)}
        37:{1,3,7}:{(27,1),(28,1),(29,1),(50,1),(52,1)}
        38:{2,6}:{(28,1),(34,1),(50,1)}
        39:{2,4,7}:{(29,1),(30,1),(32,1),(50,1),(52,1),(55,1)}
        40:{3,6}:{(30,1),(35,1),(52,1)}
        41:{2,6,7}:{(31,1),(32,1),(54,1),(117,1)}
        42:{3,5,7}:{(32,1),(33,1),(52,1),(54,1),(55,1),(85,1)}
        43:{4,6}:{(33,1),(55,1),(56,1)}
        44:{1,2,5}:{(34,1),(47,1),(49,1),(57,1),(109,1)}
        45:{2,3,5}:{(34,1),(35,1),(48,1),(51,1),(57,1),(58,1),(82,1)}
        46:{3,4}:{(35,1),(58,1)}
        47:{1,2,4}:{(36,1),(44,1),(60,1),(72,1),(92,1)}
        48:{2,3}:{(36,1),(60,1)}
        49:{1,2,6}:{(38,1),(44,1),(62,1),(63,1),(124,1)}
        50:{2,7}:{(37,1),(38,1)}
        51:{2,3,6}:{(38,1),(40,1),(45,1),(63,1),(64,1),(65,1)}
        52:{3,7}:{(39,1),(40,1)}
        53:{3,4,6}:{(40,1),(43,1),(46,1),(65,1),(66,1),(67,1),(101,1)}
        54:{3,6,7}:{(41,1),(42,1),(68,1),(101,1)}
        55:{4,7}:{(42,1),(43,1)}
        56:{4,5}:{(43,1),(67,1)}
        57:{1,3,5}:{(44,1),(45,1),(60,1),(63,1),(71,1),(72,1),(98,1)}
        58:{2,4}:{(45,1),(46,1),(72,1)}
        59:{3,4,5}:{(46,1),(67,1),(73,1),(74,1)}
        60:{1,3}:{(47,1),(48,1),(75,1)}
        61:{2,3,4}:{(48,1),(58,1),(76,1),(77,1)}
        62:{1,2,7}:{(49,1),(50,1),(79,1),(135,1)}
        63:{1,3,6}:{(49,1),(51,1),(57,1),(78,1),(79,1),(80,1)}
        64:{2,3,7}:{(50,1),(51,1),(52,1),(79,1),(81,1)}
        65:{2,4,6}:{(51,1),(53,1),(58,1),(80,1),(81,1),(82,1),(117,1)}
        66:{3,4,7}:{(52,1),(53,1),(55,1),(81,1),(83,1)}
        67:{3,5}:{(53,1),(56,1),(82,1)}
        68:{4,6,7}:{(54,1),(55,1),(85,1),(86,1)}
        69:{4,5,7}:{(55,1),(56,1),(83,1),(85,1),(86,1)}
        70:{4,5,6}:{(56,1),(84,1),(86,1),(87,1)}
        71:{2,3,5}:{(57,1),(75,1),(78,1),(88,1),(109,1),(114,1),(121,1)}
        72:{1,4}:{(57,1),(58,1),(88,1)}
        73:{2,4,5}:{(58,1),(59,1),(77,1),(82,1),(89,1),(90,1)}
        74:{3,4,6}:{(59,1),(84,1),(90,1),(91,1)}
        75:{2,3}:{(60,1),(92,1)}
        76:{1,3,4}:{(60,1),(61,1),(72,1),(92,1),(93,1),(105,1)}
        77:{2,3,5}:{(61,1),(73,1),(93,1),(94,1)}
        78:{2,3,6}:{(63,1),(71,1),(95,1),(96,1),(124,1),(133,1)}
        79:{1,3,7}:{(62,1),(63,1),(64,1),(95,1),(97,1)}
        80:{1,4,6}:{(63,1),(65,1),(72,1),(96,1),(97,1),(98,1),(130,1)}
        81:{2,4,7}:{(64,1),(65,1),(66,1),(97,1),(99,1)}
        82:{2,5}:{(65,1),(67,1),(98,1)}
        83:{3,5,7}:{(66,1),(67,1),(69,1),(99,1),(101,1)}
        84:{3,5,6}:{(67,1),(70,1),(74,1),(100,1),(101,1),(102,1)}
        85:{5,7}:{(68,1),(103,1)}
        86:{4,6}:{(69,1),(101,1),(103,1)}
        87:{4,5,7}:{(70,1),(102,1),(104,1)}
        88:{2,4}:{(71,1),(72,1),(105,1)}
        89:{1,4,5}:{(72,1),(73,1),(93,1),(98,1),(106,1),(107,1)}
        90:{2,4,6}:{(73,1),(74,1),(94,1),(100,1),(107,1),(108,1)}
        91:{3,4,7}:{(74,1),(102,1),(108,1)}
        92:{2,4}:{(75,1),(76,1),(109,1)}
        93:{1,3,5}:{(76,1),(77,1),(89,1),(109,1),(110,1),(121,1)}
        94:{2,3,6}:{(77,1),(90,1),(110,1),(111,1)}
        95:{2,3,7}:{(78,1),(79,1),(113,1),(135,1),(142,1)}
        96:{2,4,6}:{(78,1),(80,1),(88,1),(112,1),(113,1),(114,1),(139,1)}
        97:{1,4,7}:{(79,1),(80,1),(81,1),(113,1),(115,1)}
        98:{1,5}:{(80,1),(82,1),(114,1)}
        99:{2,5,7}:{(81,1),(82,1),(83,1),(115,1),(117,1)}
       100:{2,5,6}:{(82,1),(84,1),(90,1),(116,1),(117,1),(118,1)}
       101:{3,6}:{(83,1),(86,1),(117,1)}
       102:{3,5,7}:{(84,1),(87,1),(91,1),(118,1),(119,1)}
       103:{5,6}:{(85,1),(86,1)}
       104:{4,6,7}:{(86,1),(87,1),(119,1),(120,1)}
       105:{3,4}:{(88,1),(121,1)}
       106:{2,4,5}:{(88,1),(89,1),(109,1),(114,1),(121,1),(122,1),(136,1)}
       107:{1,4,6}:{(89,1),(90,1),(110,1),(116,1),(122,1),(123,1)}
       108:{2,4,7}:{(90,1),(91,1),(111,1),(118,1),(123,1)}
       109:{2,5}:{(92,1),(93,1),(124,1)}
       110:{1,3,6}:{(93,1),(94,1),(107,1),(124,1),(125,1),(133,1)}
       111:{2,3,7}:{(94,1),(108,1),(125,1)}
       112:{3,4,6}:{(96,1),(105,1),(126,1),(127,1),(133,1),(144,1),(145,1)}
       113:{2,4,7}:{(95,1),(96,1),(97,1),(126,1),(128,1)}
       114:{2,5}:{(96,1),(98,1),(127,1)}
       115:{1,5,7}:{(97,1),(98,1),(99,1),(128,1),(130,1)}
       116:{1,5,6}:{(98,1),(100,1),(107,1),(129,1),(130,1),(131,1)}
       117:{2,6}:{(99,1),(101,1),(130,1)}
       118:{2,5,7}:{(100,1),(102,1),(108,1),(131,1),(132,1)}
       119:{3,6,7}:{(101,1),(102,1),(104,1),(132,1)}
       120:{5,6,7}:{(103,1),(104,1)}
       121:{3,5}:{(105,1),(106,1),(133,1)}
       122:{2,4,6}:{(106,1),(107,1),(124,1),(129,1),(133,1),(134,1),(144,1)}
       123:{1,4,7}:{(107,1),(108,1),(125,1),(131,1),(134,1)}
       124:{2,6}:{(109,1),(110,1),(135,1)}
       125:{1,3,7}:{(110,1),(111,1),(123,1),(135,1),(142,1)}
       126:{3,4,7}:{(112,1),(113,1),(137,1),(142,1),(149,1)}
       127:{3,5}:{(112,1),(114,1),(136,1)}
       128:{2,5,7}:{(113,1),(114,1),(115,1),(137,1),(139,1)}
       129:{2,5,6}:{(114,1),(116,1),(122,1),(138,1),(139,1),(140,1)}
       130:{1,6}:{(115,1),(117,1),(139,1)}
       131:{1,5,7}:{(116,1),(118,1),(123,1),(140,1),(141,1)}
       132:{2,6,7}:{(117,1),(118,1),(119,1),(141,1)}
       133:{3,6}:{(121,1),(122,1),(142,1)}
       134:{2,4,7}:{(122,1),(123,1),(135,1),(140,1),(142,1),(149,1)}
       135:{2,7}:{(124,1),(125,1)}
       136:{4,5}:{(127,1),(144,1)}
       137:{3,5,7}:{(126,1),(127,1),(128,1),(143,1),(145,1)}
       138:{3,5,6}:{(127,1),(129,1),(133,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(128,1),(130,1),(145,1)}
       140:{2,5,7}:{(129,1),(131,1),(134,1),(146,1),(147,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{3,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 371 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(130,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(106,1),(130,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
         8:{2,6,7}:{(4,1),(13,1),(14,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(12,1),(15,1)}
        10:{2,5,6}:{(5,1),(13,1),(15,1),(16,1),(118,1),(137,1)}
        11:{2,4,5}:{(6,1),(15,1),(17,1),(18,1),(90,1),(118,1)}
        12:{3,4,7}:{(7,1),(9,1),(20,1)}
        13:{2,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1)}
        14:{1,6,7}:{(8,1),(21,1),(22,1),(128,1)}
        15:{2,4,6}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1)}
        16:{1,5,6}:{(10,1),(21,1),(24,1),(25,1),(103,1),(128,1)}
        17:{2,3,5}:{(11,1),(19,1),(23,1),(26,1)}
        18:{1,4,5}:{(11,1),(24,1),(26,1),(27,1),(74,1),(103,1)}
        19:{2,3,4}:{(17,1),(28,1),(77,1),(90,1)}
        20:{2,4,7}:{(12,1),(13,1),(15,1),(29,1),(30,1)}
        21:{1,5,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{2,6,7}:{(14,1),(31,1),(32,1),(115,1)}
        23:{2,3,6}:{(15,1),(17,1),(29,1),(33,1)}
        24:{1,4,6}:{(15,1),(16,1),(18,1),(30,1),(33,1),(34,1)}
        25:{2,5,6}:{(16,1),(31,1),(34,1),(35,1),(87,1),(115,1)}
        26:{1,3,5}:{(17,1),(18,1),(28,1),(33,1),(36,1),(37,1)}
        27:{2,4,5}:{(18,1),(34,1),(36,1),(37,1),(58,1),(60,1),(87,1)}
        28:{1,3,4}:{(19,1),(26,1),(38,1),(48,1),(62,1),(74,1)}
        29:{2,3,7}:{(20,1),(23,1),(39,1)}
        30:{1,4,7}:{(20,1),(21,1),(24,1),(39,1),(40,1)}
        31:{2,5,7}:{(21,1),(22,1),(25,1),(40,1),(41,1)}
        32:{3,6,7}:{(22,1),(41,1),(42,1),(100,1)}
        33:{1,3,6}:{(23,1),(24,1),(26,1),(39,1),(43,1),(44,1)}
        34:{2,4,6}:{(24,1),(25,1),(27,1),(40,1),(43,1),(44,1),(45,1)}
        35:{3,5,6}:{(25,1),(41,1),(44,1),(45,1),(68,1),(71,1),(100,1)}
        36:{2,5}:{(26,1),(38,1),(43,1)}
        37:{3,5}:{(27,1),(44,1),(48,1)}
        38:{2,4}:{(28,1),(36,1),(50,1)}
        39:{1,3,7}:{(29,1),(30,1),(33,1),(51,1),(52,1)}
        40:{2,4,7}:{(30,1),(31,1),(34,1),(51,1),(52,1),(53,1)}
        41:{3,5,7}:{(31,1),(32,1),(35,1),(52,1),(53,1),(54,1)}
        42:{4,6,7}:{(32,1),(53,1),(54,1),(83,1)}
        43:{2,6}:{(33,1),(36,1),(51,1)}
        44:{3,6}:{(34,1),(37,1),(52,1)}
        45:{4,6}:{(35,1),(53,1),(58,1)}
        46:{1,2,5}:{(36,1),(49,1),(55,1),(59,1),(110,1)}
        47:{2,3,5}:{(36,1),(37,1),(50,1),(56,1),(59,1),(60,1),(87,1)}
        48:{3,4}:{(37,1),(60,1)}
        49:{1,2,4}:{(38,1),(46,1),(62,1),(74,1),(94,1)}
        50:{2,3}:{(38,1),(62,1)}
        51:{2,7}:{(39,1),(43,1)}
        52:{3,7}:{(40,1),(44,1)}
        53:{4,7}:{(41,1),(45,1)}
        54:{5,7}:{(42,1),(68,1)}
        55:{1,2,6}:{(43,1),(46,1),(64,1),(69,1),(124,1)}
        56:{2,3,6}:{(43,1),(44,1),(47,1),(65,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(48,1),(66,1),(70,1),(71,1),(100,1)}
        58:{4,5}:{(45,1),(71,1)}
        59:{1,3,5}:{(46,1),(47,1),(62,1),(69,1),(73,1),(74,1),(103,1)}
        60:{2,4}:{(47,1),(48,1),(74,1)}
        61:{3,4,5}:{(48,1),(71,1),(75,1),(76,1)}
        62:{1,3}:{(49,1),(50,1),(77,1)}
        63:{2,3,4}:{(50,1),(60,1),(78,1),(79,1)}
        64:{1,2,7}:{(51,1),(55,1),(80,1),(135,1)}
        65:{2,3,7}:{(51,1),(52,1),(56,1),(80,1),(81,1)}
        66:{3,4,7}:{(52,1),(53,1),(57,1),(81,1),(82,1)}
        67:{4,5,7}:{(53,1),(54,1),(58,1),(82,1),(83,1)}
        68:{5,6}:{(54,1),(83,1)}
        69:{1,3,6}:{(55,1),(56,1),(59,1),(80,1),(85,1),(86,1)}
        70:{2,4,6}:{(56,1),(57,1),(60,1),(81,1),(86,1),(87,1),(115,1)}
        71:{3,5}:{(57,1),(58,1),(87,1)}
        72:{4,5,6}:{(58,1),(83,1),(88,1),(89,1)}
        73:{2,3,5}:{(59,1),(77,1),(85,1),(90,1),(110,1),(118,1),(121,1)}
        74:{1,4}:{(59,1),(60,1),(90,1)}
        75:{2,4,5}:{(60,1),(61,1),(79,1),(87,1),(91,1),(92,1)}
        76:{3,4,6}:{(61,1),(88,1),(92,1),(93,1)}
        77:{2,3}:{(62,1),(94,1)}
        78:{1,3,4}:{(62,1),(63,1),(74,1),(94,1),(95,1),(106,1)}
        79:{2,3,5}:{(63,1),(75,1),(95,1),(96,1)}
        80:{1,3,7}:{(64,1),(65,1),(69,1),(97,1),(98,1)}
        81:{2,4,7}:{(65,1),(66,1),(70,1),(98,1),(99,1)}
        82:{3,5,7}:{(66,1),(67,1),(71,1),(99,1),(100,1)}
        83:{4,6}:{(67,1),(68,1),(100,1)}
        84:{5,6,7}:{(68,1),(101,1)}
        85:{2,3,6}:{(69,1),(73,1),(97,1),(102,1),(124,1),(133,1)}
        86:{1,4,6}:{(69,1),(70,1),(74,1),(98,1),(102,1),(103,1),(128,1)}
        87:{2,5}:{(70,1),(71,1),(103,1)}
        88:{3,5,6}:{(71,1),(72,1),(76,1),(100,1),(104,1),(105,1)}
        89:{4,5,7}:{(72,1),(101,1),(105,1)}
        90:{2,4}:{(73,1),(74,1),(106,1)}
        91:{1,4,5}:{(74,1),(75,1),(95,1),(103,1),(107,1),(108,1)}
        92:{2,4,6}:{(75,1),(76,1),(96,1),(104,1),(108,1),(109,1)}
        93:{3,4,7}:{(76,1),(105,1),(109,1)}
        94:{2,4}:{(77,1),(78,1),(110,1)}
        95:{1,3,5}:{(78,1),(79,1),(91,1),(110,1),(111,1),(121,1)}
        96:{2,3,6}:{(79,1),(92,1),(111,1),(112,1)}
        97:{2,3,7}:{(80,1),(85,1),(113,1),(135,1),(142,1)}
        98:{1,4,7}:{(80,1),(81,1),(86,1),(113,1),(114,1)}
        99:{2,5,7}:{(81,1),(82,1),(87,1),(114,1),(115,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{4,6,7}:{(83,1),(84,1),(89,1),(116,1)}
       102:{2,4,6}:{(85,1),(86,1),(90,1),(113,1),(117,1),(118,1),(137,1)}
       103:{1,5}:{(86,1),(87,1),(118,1)}
       104:{2,5,6}:{(87,1),(88,1),(92,1),(115,1),(119,1),(120,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(116,1),(120,1)}
       106:{3,4}:{(90,1),(121,1)}
       107:{2,4,5}:{(90,1),(91,1),(110,1),(118,1),(121,1),(122,1),(139,1)}
       108:{1,4,6}:{(91,1),(92,1),(111,1),(119,1),(122,1),(123,1)}
       109:{2,4,7}:{(92,1),(93,1),(112,1),(120,1),(123,1)}
       110:{2,5}:{(94,1),(95,1),(124,1)}
       111:{1,3,6}:{(95,1),(96,1),(108,1),(124,1),(125,1),(133,1)}
       112:{2,3,7}:{(96,1),(109,1),(125,1)}
       113:{2,4,7}:{(97,1),(98,1),(102,1),(126,1),(127,1)}
       114:{1,5,7}:{(98,1),(99,1),(103,1),(127,1),(128,1)}
       115:{2,6}:{(99,1),(100,1),(128,1)}
       116:{3,6,7}:{(100,1),(101,1),(105,1),(129,1)}
       117:{3,4,6}:{(102,1),(106,1),(126,1),(130,1),(133,1),(144,1),(146,1)}
       118:{2,5}:{(102,1),(103,1),(130,1)}
       119:{1,5,6}:{(103,1),(104,1),(108,1),(128,1),(131,1),(132,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(129,1),(132,1)}
       121:{3,5}:{(106,1),(107,1),(133,1)}
       122:{2,4,6}:{(107,1),(108,1),(124,1),(131,1),(133,1),(134,1),(146,1)}
       123:{1,4,7}:{(108,1),(109,1),(125,1),(132,1),(134,1)}
       124:{2,6}:{(110,1),(111,1),(135,1)}
       125:{1,3,7}:{(111,1),(112,1),(123,1),(135,1),(142,1)}
       126:{3,4,7}:{(113,1),(117,1),(136,1),(142,1),(150,1)}
       127:{2,5,7}:{(113,1),(114,1),(118,1),(136,1),(137,1)}
       128:{1,6}:{(114,1),(115,1),(137,1)}
       129:{2,6,7}:{(115,1),(116,1),(120,1),(138,1)}
       130:{3,5}:{(117,1),(118,1),(139,1)}
       131:{2,5,6}:{(118,1),(119,1),(122,1),(137,1),(140,1),(141,1)}
       132:{1,5,7}:{(119,1),(120,1),(123,1),(138,1),(141,1)}
       133:{3,6}:{(121,1),(122,1),(142,1)}
       134:{2,4,7}:{(122,1),(123,1),(135,1),(141,1),(142,1),(150,1)}
       135:{2,7}:{(124,1),(125,1)}
       136:{3,5,7}:{(126,1),(127,1),(130,1),(143,1),(144,1)}
       137:{2,6}:{(127,1),(128,1),(144,1)}
       138:{1,6,7}:{(128,1),(129,1),(132,1),(145,1)}
       139:{4,5}:{(130,1),(146,1)}
       140:{3,5,6}:{(130,1),(131,1),(133,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(131,1),(132,1),(134,1),(145,1),(147,1)}
       142:{3,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 372 :   0:{3,4,6,7}:{(1,1),(2,1),(11,1),(29,1),(32,1)}
         1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(18,1),(20,1)}
         2:{3,5,7}:{(0,1),(4,1),(6,1),(7,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(32,1),(56,1)}
         4:{3,5,6}:{(2,1),(10,1),(11,1),(32,1),(102,1)}
         5:{1,4,6,7}:{(1,1),(8,1),(12,1),(13,1),(28,1),(31,1)}
         6:{2,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         7:{4,5,7}:{(2,1),(11,1)}
         8:{1,3,6,7}:{(3,1),(5,1),(16,1),(17,1),(21,1),(44,1),(69,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(15,1),(17,1),(18,1),(24,1),(47,1),(64,1)}
        10:{2,5,6}:{(4,1),(6,1),(19,1),(20,1),(99,1)}
        11:{4,6}:{(4,1),(7,1),(104,1)}
        12:{2,4,6,7}:{(5,1),(16,1),(21,1),(22,1),(40,1),(43,1),(45,1)}
        13:{1,5,7}:{(5,1),(6,1),(19,1),(22,1)}
        14:{2,4,5,7}:{(6,1),(7,1),(18,1),(20,1),(23,1),(24,1),(36,1),(47,1),(90,1),(99,1),(104,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(25,1),(26,1),(32,1),(49,1),(56,1),(73,1),(74,1),(102,1)}
        16:{2,6,7}:{(8,1),(27,1),(56,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(13,1),(25,1),(27,1),(28,1),(33,1),(52,1),(59,1),(76,1)}
        18:{2,4,7}:{(9,1),(26,1),(28,1),(29,1)}
        19:{1,5,6}:{(10,1),(13,1),(30,1),(31,1),(94,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(31,1),(32,1),(56,1)}
        21:{3,6,7}:{(12,1),(33,1),(52,1),(55,1)}
        22:{2,5,7}:{(12,1),(13,1),(30,1),(33,1)}
        23:{1,4,5,7}:{(13,1),(14,1),(28,1),(31,1),(34,1),(35,1),(48,1),(59,1),(80,1),(94,1)}
        24:{3,5,7}:{(14,1),(29,1),(32,1),(49,1),(96,1),(102,1)}
        25:{1,3,5,6}:{(15,1),(17,1),(19,1),(37,1),(38,1),(42,1),(44,1),(61,1),(62,1),(69,1),(84,1),(85,1)}
        26:{2,4,6}:{(15,1),(18,1),(36,1),(38,1),(39,1),(104,1)}
        27:{2,5,7}:{(16,1),(17,1),(37,1),(40,1),(86,1)}
        28:{1,4,7}:{(17,1),(18,1),(38,1),(40,1),(45,1)}
        29:{3,4,7}:{(18,1),(24,1),(39,1),(104,1)}
        30:{2,5,6}:{(19,1),(22,1),(42,1),(43,1),(87,1)}
        31:{1,4,6}:{(19,1),(20,1),(23,1),(43,1),(44,1),(69,1)}
        32:{3,6}:{(20,1),(24,1)}
        33:{3,5,7}:{(21,1),(22,1),(42,1),(45,1)}
        34:{2,4,5,7}:{(22,1),(23,1),(40,1),(43,1),(45,1),(46,1),(47,1),(60,1),(66,1),(70,1),(87,1)}
        35:{1,3,5,7}:{(23,1),(24,1),(41,1),(44,1),(46,1),(47,1),(61,1)}
        36:{2,4,5}:{(26,1),(48,1),(49,1),(73,1),(101,1)}
        37:{2,5,6}:{(25,1),(27,1),(50,1),(56,1),(73,1),(93,1)}
        38:{1,4,6}:{(25,1),(26,1),(28,1),(48,1),(50,1),(54,1)}
        39:{3,4,6}:{(26,1),(29,1),(32,1),(49,1)}
        40:{2,4,7}:{(27,1),(28,1),(50,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(35,1),(51,1),(52,1),(53,1),(57,1),(76,1),(80,1),(96,1)}
        42:{3,5,6}:{(30,1),(33,1),(54,1),(55,1),(77,1)}
        43:{2,4,6}:{(30,1),(31,1),(34,1),(54,1),(55,1),(56,1)}
        44:{1,3,6}:{(31,1),(32,1),(35,1),(55,1),(56,1)}
        45:{4,7}:{(33,1),(54,1)}
        46:{3,5,7}:{(34,1),(52,1),(55,1),(57,1),(72,1),(77,1)}
        47:{2,5,7}:{(35,1),(53,1),(56,1),(59,1),(73,1)}
        48:{1,4,5}:{(36,1),(38,1),(60,1),(61,1),(66,1),(84,1),(97,1),(104,1)}
        49:{3,5}:{(36,1),(39,1),(103,1)}
        50:{2,4,6}:{(37,1),(38,1),(40,1),(60,1),(62,1)}
        51:{1,3,4,6}:{(38,1),(39,1),(41,1),(44,1),(61,1),(62,1),(63,1),(67,1),(82,1),(85,1),(88,1),(97,1),(100,1),(103,1),(104,1)}
        52:{3,7}:{(40,1),(62,1)}
        53:{2,4,7}:{(41,1),(47,1),(63,1),(64,1),(65,1),(86,1)}
        54:{4,6}:{(42,1),(45,1),(66,1)}
        55:{3,6}:{(43,1),(46,1)}
        56:{2,6}:{(44,1),(47,1),(69,1)}
        57:{3,4,7}:{(45,1),(46,1),(67,1),(70,1),(82,1)}
        58:{2,3,5,7}:{(46,1),(47,1),(64,1),(68,1),(70,1),(71,1),(83,1),(87,1)}
        59:{1,5,7}:{(47,1),(65,1),(69,1),(84,1)}
        60:{2,4,5}:{(48,1),(50,1),(72,1),(73,1),(91,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(73,1),(77,1),(94,1),(102,1)}
        62:{3,6}:{(50,1),(52,1),(72,1)}
        63:{2,4,6}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(91,1),(93,1),(101,1)}
        64:{2,3,7}:{(52,1),(53,1),(74,1),(76,1),(96,1)}
        65:{1,4,7}:{(53,1),(59,1),(75,1),(76,1)}
        66:{4,5}:{(54,1),(77,1)}
        67:{3,4,6}:{(54,1),(55,1),(57,1),(77,1),(78,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1)}
        69:{1,6}:{(56,1),(59,1)}
        70:{2,4,7}:{(57,1),(58,1),(78,1),(80,1),(91,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(76,1),(79,1),(80,1),(81,1),(92,1),(94,1),(96,1),(102,1)}
        72:{3,5}:{(60,1),(62,1),(82,1)}
        73:{2,5}:{(61,1),(63,1),(84,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1),(100,1),(103,1)}
        75:{1,4,6}:{(63,1),(65,1),(69,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(64,1),(65,1),(85,1),(86,1)}
        77:{3,5}:{(66,1),(67,1),(87,1)}
        78:{2,4,6}:{(67,1),(68,1),(70,1),(87,1),(88,1)}
        79:{1,3,6}:{(68,1),(69,1),(71,1),(88,1),(89,1),(100,1)}
        80:{1,4,7}:{(70,1),(71,1),(88,1),(90,1),(97,1),(104,1)}
        81:{2,5,7}:{(71,1),(86,1),(89,1),(90,1),(98,1),(99,1)}
        82:{3,4}:{(72,1),(91,1)}
        83:{2,3,5}:{(72,1),(73,1),(74,1),(91,1),(92,1),(102,1)}
        84:{1,5}:{(73,1),(75,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(92,1),(93,1)}
        86:{2,7}:{(76,1),(93,1)}
        87:{2,5}:{(77,1),(78,1),(94,1)}
        88:{1,4,6}:{(78,1),(79,1),(80,1),(94,1),(95,1)}
        89:{2,6}:{(79,1),(81,1)}
        90:{2,4,7}:{(80,1),(81,1),(95,1),(96,1),(101,1)}
        91:{2,4}:{(82,1),(83,1),(97,1),(104,1)}
        92:{1,3,5}:{(83,1),(84,1),(85,1),(97,1),(98,1),(103,1)}
        93:{2,6}:{(85,1),(86,1),(98,1)}
        94:{1,5}:{(87,1),(88,1),(99,1)}
        95:{2,4,6}:{(88,1),(89,1),(90,1),(99,1),(100,1),(104,1)}
        96:{3,7}:{(90,1),(100,1),(103,1)}
        97:{1,4}:{(91,1),(92,1),(101,1)}
        98:{2,5}:{(92,1),(93,1),(101,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{2,4}:{(97,1),(98,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{3}:{(101,1)}
       104:{4}:{(102,1)}

 373 :   0:{2,4,6,7}:{(1,1),(2,1),(3,1),(12,1),(17,1),(18,1),(39,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(23,1),(26,1),(27,1),(54,1)}
         2:{3,6,7}:{(0,1),(7,1),(31,1),(56,1)}
         3:{2,5,7}:{(0,1),(6,1),(7,1),(8,1)}
         4:{2,4,6,7}:{(1,1),(10,1),(11,1),(12,1),(34,1),(35,1),(39,1)}
         5:{1,3,6,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(73,1)}
         6:{1,5,7}:{(1,1),(3,1),(11,1),(14,1)}
         7:{3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{2,5,6}:{(3,1),(14,1),(16,1),(18,1),(81,1),(125,1)}
         9:{2,4,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1),(39,1),(43,1),(44,1),(46,1),(74,1),(81,1),(103,1),(125,1),(136,1)}
        10:{3,6,7}:{(4,1),(20,1),(51,1),(56,1)}
        11:{2,5,7}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,6,7}:{(5,1),(23,1),(24,1),(60,1),(92,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(7,1),(20,1),(24,1),(25,1),(26,1),(56,1)}
        14:{1,5,6}:{(6,1),(8,1),(21,1),(27,1),(98,1),(115,1)}
        15:{1,4,5,7}:{(6,1),(9,1),(22,1),(26,1),(27,1),(28,1),(54,1),(57,1),(61,1),(64,1),(87,1),(90,1),(98,1),(115,1)}
        16:{3,5,6}:{(7,1),(8,1),(29,1),(31,1),(62,1),(132,1)}
        17:{4,7}:{(7,1),(29,1)}
        18:{2,4,6}:{(8,1),(9,1),(27,1),(29,1),(31,1),(60,1)}
        19:{3,5,7}:{(9,1),(30,1),(31,1),(56,1),(62,1),(93,1),(117,1),(132,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1)}
        21:{2,5,6}:{(11,1),(14,1),(33,1),(35,1),(101,1),(113,1)}
        22:{2,4,5,7}:{(11,1),(15,1),(34,1),(35,1),(36,1),(39,1),(43,1),(67,1),(69,1),(74,1),(83,1),(101,1),(113,1),(131,1)}
        23:{1,6,7}:{(12,1),(37,1),(80,1),(107,1)}
        24:{2,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(14,1),(16,1),(33,1),(38,1),(40,1),(42,1),(75,1),(77,1)}
        26:{1,4,7}:{(13,1),(17,1),(34,1),(39,1),(40,1),(107,1)}
        27:{1,4,6}:{(14,1),(15,1),(18,1),(35,1),(42,1),(80,1)}
        28:{1,3,5,7}:{(15,1),(19,1),(36,1),(41,1),(42,1),(43,1),(73,1),(77,1),(105,1)}
        29:{4,6}:{(16,1),(17,1),(44,1),(136,1)}
        30:{3,4,7}:{(17,1),(19,1),(45,1),(46,1),(108,1),(136,1)}
        31:{3,6}:{(18,1),(19,1)}
        32:{2,3,5,7}:{(19,1),(43,1),(46,1),(47,1),(48,1),(76,1),(81,1),(109,1)}
        33:{3,5,6}:{(20,1),(21,1),(49,1),(51,1),(85,1),(124,1)}
        34:{4,7}:{(20,1),(49,1)}
        35:{2,4,6}:{(21,1),(22,1),(27,1),(49,1),(51,1),(60,1)}
        36:{3,5,7}:{(22,1),(50,1),(51,1),(56,1),(85,1),(93,1),(100,1),(124,1)}
        37:{1,5,7}:{(23,1),(24,1),(53,1),(54,1)}
        38:{2,5,6}:{(24,1),(25,1),(53,1),(55,1),(60,1),(96,1)}
        39:{2,4,7}:{(24,1),(26,1),(54,1),(55,1),(56,1),(92,1)}
        40:{1,4,6}:{(25,1),(26,1),(29,1),(49,1),(55,1),(57,1),(120,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(30,1),(50,1),(56,1),(58,1),(59,1),(64,1),(87,1),(95,1),(100,1),(117,1),(118,1)}
        42:{1,3,6}:{(27,1),(28,1),(31,1),(51,1),(60,1)}
        43:{2,5,7}:{(28,1),(59,1),(60,1),(61,1),(92,1),(96,1),(119,1)}
        44:{4,5}:{(29,1),(62,1)}
        45:{3,4,6}:{(29,1),(30,1),(31,1),(62,1),(63,1)}
        46:{2,4,7}:{(30,1),(32,1),(63,1),(64,1),(121,1)}
        47:{2,3,6}:{(31,1),(32,1),(60,1),(63,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(61,1),(64,1),(65,1),(66,1),(95,1),(98,1),(100,1),(122,1),(124,1)}
        49:{4,6}:{(33,1),(34,1),(67,1),(131,1)}
        50:{3,4,7}:{(34,1),(36,1),(68,1),(69,1),(108,1),(131,1)}
        51:{3,6}:{(35,1),(36,1)}
        52:{2,3,5,7}:{(36,1),(43,1),(69,1),(70,1),(71,1),(76,1),(101,1),(109,1)}
        53:{1,5,6}:{(37,1),(38,1),(72,1),(80,1),(112,1)}
        54:{1,4,7}:{(37,1),(39,1),(72,1),(73,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(72,1),(74,1),(75,1),(106,1)}
        56:{3,7}:{(39,1),(75,1)}
        57:{1,4,5}:{(40,1),(44,1),(67,1),(74,1),(77,1),(128,1),(129,1),(131,1),(136,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(68,1),(75,1),(77,1),(78,1),(82,1),(102,1),(108,1),(110,1),(114,1),(126,1),(129,1),(131,1),(136,1),(138,1)}
        59:{2,4,7}:{(41,1),(43,1),(76,1),(78,1),(79,1),(111,1),(127,1)}
        60:{2,6}:{(42,1),(43,1),(80,1)}
        61:{1,5,7}:{(43,1),(79,1),(80,1),(107,1),(112,1),(128,1)}
        62:{3,5}:{(44,1),(45,1),(81,1)}
        63:{2,4,6}:{(45,1),(46,1),(47,1),(81,1),(82,1)}
        64:{1,4,7}:{(46,1),(48,1),(82,1),(83,1),(129,1),(131,1)}
        65:{1,3,6}:{(47,1),(48,1),(80,1),(82,1),(84,1),(114,1)}
        66:{2,5,7}:{(48,1),(83,1),(84,1),(111,1),(113,1),(130,1)}
        67:{4,5}:{(49,1),(85,1)}
        68:{3,4,6}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        69:{2,4,7}:{(50,1),(52,1),(86,1),(87,1),(121,1)}
        70:{2,3,6}:{(51,1),(52,1),(60,1),(86,1),(88,1)}
        71:{1,3,5,7}:{(52,1),(61,1),(87,1),(88,1),(89,1),(95,1),(115,1),(117,1),(122,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(55,1),(90,1),(91,1)}
        73:{1,3,7}:{(54,1),(56,1),(91,1),(92,1)}
        74:{2,4,5}:{(55,1),(57,1),(90,1),(93,1),(96,1),(119,1),(121,1),(135,1)}
        75:{3,6}:{(55,1),(56,1),(93,1)}
        76:{2,3,7}:{(56,1),(59,1),(92,1),(94,1),(95,1),(100,1),(117,1),(133,1)}
        77:{1,3,5}:{(57,1),(58,1),(62,1),(85,1),(93,1),(96,1),(98,1),(115,1),(124,1),(132,1)}
        78:{2,4,6}:{(58,1),(59,1),(60,1),(94,1),(96,1),(97,1),(121,1),(123,1),(135,1)}
        79:{1,4,7}:{(59,1),(61,1),(95,1),(97,1),(134,1)}
        80:{1,6}:{(60,1),(61,1)}
        81:{2,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(63,1),(64,1),(65,1),(98,1),(99,1)}
        83:{2,4,7}:{(64,1),(66,1),(99,1),(100,1),(135,1)}
        84:{2,6}:{(65,1),(66,1)}
        85:{3,5}:{(67,1),(68,1),(101,1)}
        86:{2,4,6}:{(68,1),(69,1),(70,1),(101,1),(102,1)}
        87:{1,4,7}:{(69,1),(71,1),(102,1),(103,1),(129,1),(136,1)}
        88:{1,3,6}:{(70,1),(71,1),(80,1),(102,1),(104,1),(126,1)}
        89:{2,5,7}:{(71,1),(103,1),(104,1),(111,1),(125,1),(130,1)}
        90:{1,4,5}:{(72,1),(74,1),(105,1),(112,1),(129,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(106,1)}
        92:{2,7}:{(73,1),(106,1),(107,1)}
        93:{3,5}:{(74,1),(75,1),(108,1),(138,1)}
        94:{2,3,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(110,1),(114,1),(126,1),(138,1)}
        95:{1,3,7}:{(76,1),(79,1),(107,1),(110,1),(111,1),(137,1)}
        96:{2,5}:{(77,1),(78,1),(112,1)}
        97:{1,4,6}:{(78,1),(79,1),(80,1),(110,1),(112,1),(129,1)}
        98:{1,5}:{(81,1),(82,1),(113,1)}
        99:{2,4,6}:{(82,1),(83,1),(84,1),(113,1),(114,1),(131,1)}
       100:{3,7}:{(83,1),(114,1),(138,1)}
       101:{2,5}:{(85,1),(86,1),(115,1)}
       102:{1,4,6}:{(86,1),(87,1),(88,1),(115,1),(116,1)}
       103:{2,4,7}:{(87,1),(89,1),(116,1),(117,1),(135,1)}
       104:{2,6}:{(88,1),(89,1)}
       105:{1,3,5}:{(90,1),(91,1),(93,1),(118,1),(119,1)}
       106:{2,6}:{(91,1),(92,1),(119,1),(120,1)}
       107:{1,7}:{(92,1),(120,1)}
       108:{3,4}:{(93,1),(121,1)}
       109:{2,3,5}:{(93,1),(94,1),(96,1),(119,1),(121,1),(122,1),(124,1),(132,1),(133,1)}
       110:{1,3,6}:{(94,1),(95,1),(97,1),(120,1),(122,1),(123,1)}
       111:{2,7}:{(95,1),(123,1),(139,1)}
       112:{1,5}:{(96,1),(97,1)}
       113:{2,5}:{(98,1),(99,1),(124,1)}
       114:{3,6}:{(99,1),(100,1),(124,1)}
       115:{1,5}:{(101,1),(102,1),(125,1)}
       116:{2,4,6}:{(102,1),(103,1),(104,1),(125,1),(126,1),(136,1)}
       117:{3,7}:{(103,1),(126,1),(138,1)}
       118:{1,3,4}:{(105,1),(108,1),(127,1),(129,1),(137,1),(138,1)}
       119:{2,5}:{(105,1),(106,1),(127,1),(128,1)}
       120:{1,6}:{(106,1),(107,1),(128,1)}
       121:{2,4}:{(108,1),(109,1),(129,1),(131,1),(136,1)}
       122:{1,3,5}:{(109,1),(110,1),(112,1),(128,1),(129,1),(130,1),(137,1),(138,1)}
       123:{2,6}:{(110,1),(111,1),(130,1)}
       124:{3,5}:{(113,1),(114,1),(131,1)}
       125:{2,5}:{(115,1),(116,1),(132,1)}
       126:{3,6}:{(116,1),(117,1),(132,1)}
       127:{2,4}:{(118,1),(119,1),(133,1),(134,1),(139,1)}
       128:{1,5}:{(119,1),(120,1),(134,1)}
       129:{1,4}:{(121,1),(122,1),(135,1)}
       130:{2,5}:{(122,1),(123,1),(135,1),(139,1)}
       131:{4}:{(124,1)}
       132:{3,5}:{(125,1),(126,1),(136,1)}
       133:{2,3}:{(127,1),(137,1),(138,1)}
       134:{1,4}:{(127,1),(128,1),(137,1)}
       135:{2,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(132,1)}
       137:{1,3}:{(133,1),(134,1),(139,1)}
       138:{3}:{(135,1)}
       139:{2}:{(137,1)}

 374 :   0:{3,4,6,7}:{(1,1),(2,1),(14,1),(29,1),(35,1)}
         1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(18,1),(23,1)}
         2:{3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(35,1),(58,1)}
         4:{1,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(27,1),(33,1)}
         5:{2,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         6:{3,5,6}:{(2,1),(12,1),(14,1),(35,1),(102,1)}
         7:{4,5,7}:{(2,1),(14,1)}
         8:{1,3,6,7}:{(3,1),(4,1),(15,1),(16,1),(19,1),(46,1),(71,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(17,1),(18,1),(24,1),(47,1),(62,1)}
        10:{2,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(37,1),(43,1),(44,1)}
        11:{1,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        12:{2,5,6}:{(5,1),(6,1),(21,1),(23,1),(99,1)}
        13:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1),(23,1),(24,1),(40,1),(47,1),(89,1),(99,1),(104,1)}
        14:{4,6}:{(6,1),(7,1),(104,1)}
        15:{2,6,7}:{(8,1),(25,1),(58,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(30,1),(49,1),(59,1),(74,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(26,1),(28,1),(35,1),(53,1),(58,1),(73,1),(75,1),(102,1)}
        18:{2,4,7}:{(9,1),(27,1),(28,1),(29,1)}
        19:{3,6,7}:{(10,1),(30,1),(49,1),(56,1)}
        20:{2,5,7}:{(10,1),(11,1),(30,1),(31,1)}
        21:{1,5,6}:{(11,1),(12,1),(31,1),(33,1),(94,1)}
        22:{1,4,5,7}:{(11,1),(13,1),(27,1),(32,1),(33,1),(34,1),(50,1),(59,1),(79,1),(94,1)}
        23:{2,4,6}:{(12,1),(13,1),(14,1),(33,1),(35,1),(58,1)}
        24:{3,5,7}:{(13,1),(29,1),(35,1),(53,1),(96,1),(102,1)}
        25:{2,5,7}:{(15,1),(16,1),(36,1),(37,1),(85,1)}
        26:{1,3,5,6}:{(16,1),(17,1),(21,1),(36,1),(38,1),(42,1),(46,1),(61,1),(63,1),(71,1),(84,1),(86,1)}
        27:{1,4,7}:{(16,1),(18,1),(37,1),(38,1),(43,1)}
        28:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(41,1),(104,1)}
        29:{3,4,7}:{(18,1),(24,1),(41,1),(104,1)}
        30:{3,5,7}:{(19,1),(20,1),(42,1),(43,1)}
        31:{2,5,6}:{(20,1),(21,1),(42,1),(44,1),(87,1)}
        32:{2,4,5,7}:{(20,1),(22,1),(37,1),(43,1),(44,1),(45,1),(47,1),(60,1),(66,1),(68,1),(87,1)}
        33:{1,4,6}:{(21,1),(22,1),(23,1),(44,1),(46,1),(71,1)}
        34:{1,3,5,7}:{(22,1),(24,1),(39,1),(45,1),(46,1),(47,1),(63,1)}
        35:{3,6}:{(23,1),(24,1)}
        36:{2,5,6}:{(25,1),(26,1),(48,1),(58,1),(75,1),(93,1)}
        37:{2,4,7}:{(25,1),(27,1),(48,1),(49,1)}
        38:{1,4,6}:{(26,1),(27,1),(28,1),(48,1),(50,1),(54,1)}
        39:{1,3,4,7}:{(27,1),(29,1),(34,1),(49,1),(51,1),(52,1),(55,1),(74,1),(79,1),(96,1)}
        40:{2,4,5}:{(28,1),(50,1),(53,1),(75,1),(101,1)}
        41:{3,4,6}:{(28,1),(29,1),(35,1),(53,1)}
        42:{3,5,6}:{(30,1),(31,1),(54,1),(56,1),(77,1)}
        43:{4,7}:{(30,1),(54,1)}
        44:{2,4,6}:{(31,1),(32,1),(33,1),(54,1),(56,1),(58,1)}
        45:{3,5,7}:{(32,1),(49,1),(55,1),(56,1),(72,1),(77,1)}
        46:{1,3,6}:{(33,1),(34,1),(35,1),(56,1),(58,1)}
        47:{2,5,7}:{(34,1),(52,1),(58,1),(59,1),(75,1)}
        48:{2,4,6}:{(36,1),(37,1),(38,1),(60,1),(61,1)}
        49:{3,7}:{(37,1),(61,1)}
        50:{1,4,5}:{(38,1),(40,1),(60,1),(63,1),(66,1),(86,1),(97,1),(104,1)}
        51:{1,3,4,6}:{(38,1),(39,1),(41,1),(46,1),(61,1),(63,1),(64,1),(67,1),(82,1),(84,1),(88,1),(97,1),(100,1),(103,1),(104,1)}
        52:{2,4,7}:{(39,1),(47,1),(62,1),(64,1),(65,1),(85,1)}
        53:{3,5}:{(40,1),(41,1),(103,1)}
        54:{4,6}:{(42,1),(43,1),(66,1)}
        55:{3,4,7}:{(43,1),(45,1),(67,1),(68,1),(82,1)}
        56:{3,6}:{(44,1),(45,1)}
        57:{2,3,5,7}:{(45,1),(47,1),(62,1),(68,1),(69,1),(70,1),(83,1),(87,1)}
        58:{2,6}:{(46,1),(47,1),(71,1)}
        59:{1,5,7}:{(47,1),(65,1),(71,1),(86,1)}
        60:{2,4,5}:{(48,1),(50,1),(72,1),(75,1),(91,1)}
        61:{3,6}:{(48,1),(49,1),(72,1)}
        62:{2,3,7}:{(49,1),(52,1),(73,1),(74,1),(96,1)}
        63:{1,3,5}:{(50,1),(51,1),(53,1),(72,1),(75,1),(77,1),(94,1),(102,1)}
        64:{2,4,6}:{(51,1),(52,1),(58,1),(73,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        65:{1,4,7}:{(52,1),(59,1),(74,1),(76,1)}
        66:{4,5}:{(54,1),(77,1)}
        67:{3,4,6}:{(54,1),(55,1),(56,1),(77,1),(78,1)}
        68:{2,4,7}:{(55,1),(57,1),(78,1),(79,1),(91,1)}
        69:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1)}
        70:{1,3,5,7}:{(57,1),(59,1),(74,1),(79,1),(80,1),(81,1),(92,1),(94,1),(96,1),(102,1)}
        71:{1,6}:{(58,1),(59,1)}
        72:{3,5}:{(60,1),(61,1),(82,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(100,1),(103,1)}
        74:{1,3,7}:{(62,1),(65,1),(84,1),(85,1)}
        75:{2,5}:{(63,1),(64,1),(86,1)}
        76:{1,4,6}:{(64,1),(65,1),(71,1),(84,1),(86,1),(97,1)}
        77:{3,5}:{(66,1),(67,1),(87,1)}
        78:{2,4,6}:{(67,1),(68,1),(69,1),(87,1),(88,1)}
        79:{1,4,7}:{(68,1),(70,1),(88,1),(89,1),(97,1),(104,1)}
        80:{1,3,6}:{(69,1),(70,1),(71,1),(88,1),(90,1),(100,1)}
        81:{2,5,7}:{(70,1),(85,1),(89,1),(90,1),(98,1),(99,1)}
        82:{3,4}:{(72,1),(91,1)}
        83:{2,3,5}:{(72,1),(73,1),(75,1),(91,1),(92,1),(102,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(92,1),(93,1)}
        85:{2,7}:{(74,1),(93,1)}
        86:{1,5}:{(75,1),(76,1)}
        87:{2,5}:{(77,1),(78,1),(94,1)}
        88:{1,4,6}:{(78,1),(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,7}:{(79,1),(81,1),(95,1),(96,1),(101,1)}
        90:{2,6}:{(80,1),(81,1)}
        91:{2,4}:{(82,1),(83,1),(97,1),(104,1)}
        92:{1,3,5}:{(83,1),(84,1),(86,1),(97,1),(98,1),(103,1)}
        93:{2,6}:{(84,1),(85,1),(98,1)}
        94:{1,5}:{(87,1),(88,1),(99,1)}
        95:{2,4,6}:{(88,1),(89,1),(90,1),(99,1),(100,1),(104,1)}
        96:{3,7}:{(89,1),(100,1),(103,1)}
        97:{1,4}:{(91,1),(92,1),(101,1)}
        98:{2,5}:{(92,1),(93,1),(101,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{2,4}:{(97,1),(98,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{3}:{(101,1)}
       104:{4}:{(102,1)}

 375 :   0:{3,5,6,7}:{(1,1),(2,1),(10,1),(12,1),(201,1),(300,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(158,1),(259,1)}
         2:{4,6,7}:{(0,1),(5,1),(248,1),(351,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(8,1),(38,1),(120,1),(222,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(30,1),(310,1)}
         5:{4,5,7}:{(2,1),(11,1),(12,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(12,1),(13,1),(32,1),(35,1)}
         7:{2,5,6,7}:{(3,1),(14,1),(15,1),(58,1),(88,1),(186,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(17,1),(48,1),(270,1)}
         9:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(23,1),(47,1),(51,1),(158,1),(165,1),(248,1)}
        10:{3,6,7}:{(4,1),(19,1),(363,1)}
        11:{4,5,6}:{(5,1),(21,1),(351,1),(476,1)}
        12:{3,5,7}:{(5,1),(6,1),(21,1),(23,1)}
        13:{2,4,6,7}:{(6,1),(20,1),(23,1),(24,1),(51,1),(54,1)}
        14:{3,5,6,7}:{(7,1),(25,1),(27,1),(61,1),(84,1),(153,1)}
        15:{2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(30,1),(232,1)}
        16:{1,4,5,7}:{(8,1),(9,1),(26,1),(28,1),(29,1),(38,1),(70,1),(76,1),(120,1),(126,1)}
        17:{1,3,6,7}:{(8,1),(10,1),(27,1),(29,1),(30,1),(322,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(28,1),(31,1),(36,1),(68,1),(73,1),(198,1),(206,1),(295,1),(306,1),(310,1)}
        19:{3,5,7}:{(9,1),(10,1),(31,1),(32,1),(209,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(30,1),(33,1),(34,1),(79,1)}
        21:{3,5,6}:{(11,1),(12,1),(35,1),(36,1),(435,1)}
        22:{3,4,5,7}:{(12,1),(32,1),(35,1),(37,1),(72,1),(299,1),(309,1),(340,1),(435,1)}
        23:{2,5,7}:{(12,1),(13,1),(36,1),(38,1)}
        24:{1,4,6,7}:{(13,1),(34,1),(38,1),(39,1),(76,1),(80,1)}
        25:{4,6,7}:{(14,1),(40,1),(115,1),(194,1)}
        26:{2,4,5,7}:{(15,1),(16,1),(40,1),(42,1),(43,1),(47,1),(58,1),(88,1),(92,1),(107,1),(115,1)}
        27:{3,6,7}:{(15,1),(43,1),(282,1)}
        28:{1,4,5,6}:{(16,1),(18,1),(42,1),(45,1),(55,1),(97,1),(104,1),(155,1),(162,1),(266,1),(270,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(47,1)}
        30:{2,6,7}:{(17,1),(47,1),(48,1),(375,1)}
        31:{3,5,6}:{(18,1),(19,1),(49,1),(253,1),(358,1),(363,1)}
        32:{3,4,7}:{(19,1),(49,1),(51,1),(248,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(23,1),(47,1),(50,1),(51,1),(52,1),(98,1)}
        34:{1,3,6,7}:{(20,1),(24,1),(48,1),(52,1),(53,1),(59,1),(110,1)}
        35:{3,4,6}:{(21,1),(22,1),(54,1),(351,1),(363,1)}
        36:{2,5,6}:{(21,1),(23,1),(54,1),(55,1),(389,1)}
        37:{2,4,5,7}:{(22,1),(23,1),(51,1),(54,1),(56,1),(57,1),(102,1),(289,1),(389,1)}
        38:{1,5,7}:{(23,1),(24,1),(55,1),(58,1)}
        39:{2,4,6,7}:{(24,1),(53,1),(58,1),(59,1),(107,1),(111,1),(115,1)}
        40:{4,5,7}:{(25,1),(60,1),(61,1)}
        41:{3,4,6,7}:{(25,1),(27,1),(61,1),(62,1),(64,1),(117,1)}
        42:{2,4,5,6}:{(26,1),(28,1),(60,1),(63,1),(68,1),(81,1),(118,1),(123,1),(140,1),(148,1),(228,1),(232,1)}
        43:{3,5,7}:{(26,1),(27,1),(63,1),(64,1),(143,1)}
        44:{2,3,6,7}:{(27,1),(30,1),(62,1),(65,1),(66,1),(196,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(31,1),(63,1),(67,1),(68,1),(318,1),(322,1)}
        46:{1,3,4,7}:{(29,1),(32,1),(64,1),(67,1),(69,1),(76,1),(126,1),(133,1),(143,1),(209,1)}
        47:{2,5,7}:{(29,1),(30,1),(68,1),(69,1),(70,1)}
        48:{1,6,7}:{(30,1),(70,1),(424,1)}
        49:{3,4,6}:{(31,1),(32,1),(72,1),(73,1),(295,1)}
        50:{2,3,5,6}:{(31,1),(33,1),(36,1),(68,1),(73,1),(74,1),(79,1),(130,1),(137,1)}
        51:{2,4,7}:{(32,1),(33,1),(73,1),(76,1)}
        52:{1,3,5,7}:{(33,1),(34,1),(38,1),(70,1),(74,1),(76,1),(77,1),(84,1),(133,1),(143,1)}
        53:{2,6,7}:{(34,1),(77,1),(146,1)}
        54:{2,4,6}:{(35,1),(36,1),(37,1),(79,1),(80,1)}
        55:{1,5,6}:{(36,1),(38,1),(80,1),(81,1),(337,1)}
        56:{2,3,5,7}:{(37,1),(75,1),(79,1),(82,1),(137,1),(309,1),(321,1)}
        57:{1,4,5,7}:{(37,1),(38,1),(76,1),(80,1),(82,1),(83,1),(138,1),(239,1),(337,1)}
        58:{2,5,7}:{(38,1),(39,1),(81,1),(84,1)}
        59:{3,6,7}:{(39,1),(84,1),(143,1),(147,1)}
        60:{4,5,6}:{(40,1),(86,1),(194,1),(542,1)}
        61:{3,5,7}:{(40,1),(41,1),(86,1),(88,1)}
        62:{2,4,6,7}:{(41,1),(44,1),(88,1),(89,1),(92,1),(154,1)}
        63:{3,5,6}:{(42,1),(43,1),(90,1),(180,1),(277,1),(282,1)}
        64:{3,4,7}:{(43,1),(90,1),(92,1),(115,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(47,1),(88,1),(91,1),(92,1),(93,1),(98,1)}
        66:{1,3,6,7}:{(44,1),(48,1),(89,1),(93,1),(94,1),(159,1),(243,1)}
        67:{1,3,4,6}:{(45,1),(46,1),(49,1),(90,1),(95,1),(96,1),(104,1),(162,1),(170,1),(180,1),(253,1)}
        68:{2,5,6}:{(45,1),(47,1),(96,1),(97,1),(371,1),(375,1)}
        69:{2,4,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(173,1)}
        70:{1,5,7}:{(47,1),(48,1),(97,1),(99,1)}
        71:{1,2,6,7}:{(48,1),(53,1),(94,1),(100,1),(101,1),(187,1),(344,1),(375,1),(468,1),(475,1),(522,1)}
        72:{3,4,5}:{(49,1),(102,1),(347,1),(358,1),(469,1)}
        73:{2,4,6}:{(49,1),(50,1),(51,1),(102,1),(104,1)}
        74:{1,3,5,6}:{(50,1),(52,1),(55,1),(97,1),(104,1),(105,1),(110,1),(112,1),(170,1),(177,1),(180,1)}
        75:{2,3,4,7}:{(51,1),(56,1),(98,1),(103,1),(106,1),(257,1),(268,1),(279,1),(289,1)}
        76:{1,4,7}:{(51,1),(52,1),(104,1),(107,1),(115,1)}
        77:{2,5,7}:{(52,1),(53,1),(105,1),(107,1),(173,1)}
        78:{2,3,6,7}:{(53,1),(59,1),(101,1),(108,1),(109,1),(188,1),(282,1),(375,1),(440,1),(522,1),(545,1)}
        79:{2,3,6}:{(54,1),(56,1),(110,1),(363,1),(375,1)}
        80:{1,4,6}:{(54,1),(55,1),(57,1),(110,1),(111,1)}
        81:{2,5,6}:{(55,1),(58,1),(111,1),(112,1),(286,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(106,1),(110,1),(113,1),(114,1),(177,1),(374,1)}
        83:{2,4,5,7}:{(57,1),(58,1),(107,1),(111,1),(113,1),(114,1),(115,1),(178,1),(190,1),(192,1),(286,1)}
        84:{3,5,7}:{(58,1),(59,1),(112,1),(115,1)}
        85:{3,4,6,7}:{(59,1),(109,1),(115,1),(116,1),(184,1),(189,1),(194,1),(282,1),(509,1),(545,1),(552,1)}
        86:{3,5,6}:{(60,1),(61,1),(117,1),(118,1),(530,1)}
        87:{3,4,5,7}:{(61,1),(64,1),(117,1),(119,1),(122,1),(152,1),(231,1),(484,1),(530,1)}
        88:{2,5,7}:{(61,1),(62,1),(118,1),(120,1)}
        89:{1,4,6,7}:{(62,1),(66,1),(120,1),(121,1),(126,1),(197,1)}
        90:{3,4,6}:{(63,1),(64,1),(122,1),(123,1),(148,1)}
        91:{2,3,5,6}:{(63,1),(65,1),(68,1),(118,1),(123,1),(124,1),(130,1),(196,1),(203,1)}
        92:{2,4,7}:{(64,1),(65,1),(123,1),(126,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(70,1),(120,1),(124,1),(126,1),(127,1),(133,1),(201,1),(209,1)}
        94:{2,6,7}:{(66,1),(127,1),(293,1)}
        95:{1,3,4,5}:{(67,1),(72,1),(122,1),(129,1),(138,1),(204,1),(213,1),(224,1),(302,1),(315,1),(318,1)}
        96:{2,4,6}:{(67,1),(68,1),(69,1),(129,1),(130,1),(131,1),(215,1)}
        97:{1,5,6}:{(68,1),(70,1),(131,1),(421,1),(424,1)}
        98:{2,3,7}:{(69,1),(130,1),(133,1),(143,1),(209,1)}
        99:{1,4,7}:{(69,1),(70,1),(131,1),(133,1)}
       100:{1,2,5,7}:{(70,1),(71,1),(77,1),(127,1),(132,1),(134,1),(135,1),(218,1),(321,1),(502,1),(506,1),(538,1)}
       101:{1,3,6,7}:{(71,1),(78,1),(128,1),(135,1),(136,1),(234,1),(322,1),(395,1),(424,1)}
       102:{2,4,5}:{(72,1),(73,1),(137,1),(138,1),(426,1)}
       103:{2,3,4,6}:{(73,1),(75,1),(79,1),(130,1),(137,1),(139,1),(212,1),(305,1),(317,1),(327,1),(336,1),(426,1)}
       104:{1,4,6}:{(73,1),(74,1),(76,1),(138,1),(140,1),(148,1)}
       105:{2,5,6}:{(74,1),(77,1),(140,1),(146,1),(215,1),(223,1)}
       106:{1,3,4,7}:{(75,1),(76,1),(82,1),(133,1),(139,1),(142,1),(143,1),(151,1),(229,1),(239,1),(320,1)}
       107:{2,4,7}:{(76,1),(77,1),(140,1),(143,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(84,1),(135,1),(141,1),(143,1),(144,1),(145,1),(219,1),(231,1),(321,1),(538,1),(550,1),(551,1)}
       109:{2,4,6,7}:{(78,1),(85,1),(136,1),(144,1),(145,1),(232,1),(235,1),(480,1)}
       110:{1,3,6}:{(79,1),(80,1),(82,1),(146,1),(147,1),(424,1)}
       111:{2,4,6}:{(80,1),(81,1),(83,1),(146,1),(147,1),(148,1)}
       112:{3,5,6}:{(81,1),(84,1),(147,1),(148,1),(236,1)}
       113:{2,5,7}:{(82,1),(142,1),(146,1),(223,1)}
       114:{3,5,7}:{(83,1),(143,1),(147,1),(151,1),(224,1),(236,1)}
       115:{4,7}:{(84,1),(148,1)}
       116:{3,5,7}:{(85,1),(145,1),(152,1),(153,1),(236,1),(530,1)}
       117:{3,4,6}:{(86,1),(87,1),(154,1),(194,1),(282,1)}
       118:{2,5,6}:{(86,1),(88,1),(154,1),(155,1),(510,1)}
       119:{2,4,5,7}:{(87,1),(88,1),(92,1),(154,1),(156,1),(157,1),(160,1),(445,1),(510,1)}
       120:{1,5,7}:{(88,1),(89,1),(155,1),(158,1)}
       121:{2,4,6,7}:{(89,1),(94,1),(158,1),(159,1),(165,1),(244,1),(248,1)}
       122:{3,4,5}:{(90,1),(160,1),(190,1),(277,1),(516,1)}
       123:{2,4,6}:{(90,1),(91,1),(92,1),(160,1),(162,1)}
       124:{1,3,5,6}:{(91,1),(93,1),(97,1),(155,1),(162,1),(163,1),(170,1),(243,1),(245,1),(250,1),(253,1)}
       125:{2,3,4,7}:{(92,1),(98,1),(156,1),(161,1),(164,1),(184,1),(268,1),(360,1),(445,1)}
       126:{1,4,7}:{(92,1),(93,1),(162,1),(165,1),(248,1)}
       127:{2,5,7}:{(93,1),(94,1),(163,1),(165,1),(173,1)}
       128:{2,3,6,7}:{(94,1),(101,1),(159,1),(166,1),(167,1),(284,1),(345,1),(363,1),(375,1),(475,1),(479,1)}
       129:{2,4,5}:{(95,1),(96,1),(168,1),(169,1),(261,1),(368,1),(371,1)}
       130:{2,3,6}:{(96,1),(98,1),(168,1),(170,1),(180,1),(253,1)}
       131:{1,4,6}:{(96,1),(97,1),(99,1),(169,1),(170,1)}
       132:{1,2,5,6}:{(97,1),(100,1),(105,1),(163,1),(171,1),(172,1),(187,1),(263,1),(272,1),(344,1),(353,1),(371,1),(375,1),(466,1),(473,1),(520,1)}
       133:{1,3,7}:{(98,1),(99,1),(170,1),(173,1)}
       134:{1,2,4,7}:{(99,1),(100,1),(107,1),(165,1),(171,1),(173,1),(174,1),(175,1),(268,1),(526,1),(528,1),(547,1),(548,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(108,1),(166,1),(172,1),(174,1),(175,1),(176,1),(267,1),(374,1)}
       136:{1,4,6,7}:{(101,1),(109,1),(167,1),(175,1),(176,1),(270,1),(285,1),(441,1)}
       137:{2,3,5}:{(102,1),(103,1),(177,1),(358,1),(371,1),(389,1)}
       138:{1,4,5}:{(102,1),(104,1),(177,1),(178,1),(190,1),(378,1)}
       139:{1,3,4,6}:{(103,1),(104,1),(106,1),(110,1),(170,1),(177,1),(179,1),(180,1),(189,1),(260,1),(274,1),(275,1),(285,1),(370,1),(378,1)}
       140:{2,4,6}:{(104,1),(105,1),(107,1),(178,1),(180,1)}
       141:{2,3,5,6}:{(105,1),(108,1),(112,1),(172,1),(180,1),(181,1),(186,1),(188,1),(264,1),(273,1),(277,1),(282,1),(286,1),(371,1),(375,1),(440,1),(449,1),(510,1),(520,1),(543,1),(546,1)}
       142:{2,4,7}:{(106,1),(113,1),(173,1),(179,1),(183,1)}
       143:{3,7}:{(107,1),(180,1)}
       144:{2,4,7}:{(108,1),(115,1),(175,1),(181,1),(184,1),(552,1)}
       145:{2,5,7}:{(109,1),(116,1),(176,1),(186,1),(286,1),(510,1)}
       146:{2,6}:{(110,1),(113,1)}
       147:{3,6}:{(111,1),(114,1)}
       148:{4,6}:{(112,1),(115,1),(190,1)}
       149:{1,2,5,7}:{(113,1),(182,1),(187,1),(191,1),(272,1),(374,1),(385,1)}
       150:{2,3,5,7}:{(113,1),(114,1),(183,1),(188,1),(191,1),(192,1),(273,1),(286,1)}
       151:{3,4,7}:{(114,1),(115,1),(189,1),(192,1),(274,1)}
       152:{4,5,7}:{(115,1),(116,1),(190,1),(194,1),(542,1),(552,1)}
       153:{3,5,6}:{(116,1),(186,1),(194,1),(282,1)}
       154:{2,4,6}:{(117,1),(118,1),(119,1),(196,1),(197,1)}
       155:{1,5,6}:{(118,1),(120,1),(197,1),(198,1),(481,1)}
       156:{2,3,5,7}:{(119,1),(125,1),(196,1),(199,1),(203,1),(231,1),(321,1)}
       157:{1,4,5,7}:{(119,1),(120,1),(126,1),(197,1),(199,1),(200,1),(204,1),(400,1),(481,1)}
       158:{2,5,7}:{(120,1),(121,1),(198,1),(201,1)}
       159:{3,6,7}:{(121,1),(201,1),(209,1),(294,1)}
       160:{2,4,5}:{(122,1),(123,1),(203,1),(204,1),(488,1)}
       161:{2,3,4,6}:{(123,1),(125,1),(130,1),(196,1),(203,1),(205,1),(212,1),(227,1),(317,1),(407,1),(480,1),(488,1)}
       162:{1,4,6}:{(123,1),(124,1),(126,1),(204,1),(206,1),(295,1)}
       163:{2,5,6}:{(124,1),(127,1),(206,1),(215,1),(293,1),(301,1)}
       164:{1,3,4,7}:{(125,1),(126,1),(133,1),(199,1),(205,1),(208,1),(209,1),(298,1),(307,1),(320,1),(400,1)}
       165:{2,4,7}:{(126,1),(127,1),(206,1),(209,1)}
       166:{2,3,5,7}:{(127,1),(128,1),(135,1),(201,1),(207,1),(209,1),(210,1),(211,1),(219,1),(309,1),(321,1),(506,1),(508,1),(541,1)}
       167:{2,4,6,7}:{(128,1),(136,1),(202,1),(210,1),(211,1),(310,1),(336,1),(396,1)}
       168:{2,3,5}:{(129,1),(130,1),(212,1),(213,1),(224,1),(302,1)}
       169:{1,4,5}:{(129,1),(131,1),(213,1),(418,1),(421,1)}
       170:{1,3,6}:{(130,1),(131,1),(133,1),(213,1),(215,1)}
       171:{1,2,4,6}:{(131,1),(132,1),(134,1),(140,1),(206,1),(214,1),(215,1),(216,1),(217,1),(317,1),(500,1),(504,1),(536,1),(539,1)}
       172:{1,3,5,6}:{(132,1),(135,1),(141,1),(207,1),(216,1),(217,1),(222,1),(234,1),(316,1),(318,1),(322,1),(324,1),(337,1),(395,1),(404,1),(421,1),(424,1),(481,1)}
       173:{2,7}:{(133,1),(215,1)}
       174:{1,3,7}:{(134,1),(143,1),(209,1),(216,1),(219,1),(541,1),(551,1)}
       175:{1,4,7}:{(135,1),(144,1),(210,1),(217,1)}
       176:{1,5,7}:{(136,1),(145,1),(211,1),(222,1),(337,1),(481,1)}
       177:{1,3,5}:{(137,1),(138,1),(139,1),(223,1),(224,1),(236,1),(337,1),(421,1)}
       178:{2,4,5}:{(138,1),(140,1),(223,1),(224,1),(325,1)}
       179:{2,4,6}:{(139,1),(142,1),(146,1),(215,1),(223,1),(226,1),(312,1),(325,1)}
       180:{3,6}:{(140,1),(143,1),(224,1)}
       181:{2,4,6}:{(141,1),(144,1),(148,1),(217,1),(227,1),(228,1),(325,1),(488,1),(549,1)}
       182:{1,2,4,7}:{(142,1),(149,1),(218,1),(225,1),(229,1),(239,1),(320,1),(332,1)}
       183:{2,3,7}:{(142,1),(143,1),(226,1),(229,1)}
       184:{3,4,7}:{(143,1),(144,1),(227,1),(231,1),(551,1)}
       185:{2,4,5,7}:{(144,1),(145,1),(152,1),(221,1),(228,1),(231,1),(232,1),(321,1)}
       186:{2,5,6}:{(145,1),(153,1),(222,1),(232,1)}
       187:{1,2,6}:{(146,1),(149,1),(234,1),(424,1),(433,1)}
       188:{2,3,6}:{(146,1),(147,1),(150,1),(234,1),(235,1)}
       189:{3,4,6}:{(147,1),(148,1),(151,1),(235,1),(236,1)}
       190:{4,5}:{(148,1),(236,1)}
       191:{1,3,5,7}:{(149,1),(150,1),(229,1),(234,1),(238,1),(239,1),(324,1),(337,1)}
       192:{2,4,7}:{(150,1),(151,1),(235,1),(239,1),(325,1)}
       193:{3,4,5,7}:{(151,1),(152,1),(231,1),(236,1),(240,1),(241,1),(326,1),(339,1),(429,1)}
       194:{4,6}:{(152,1),(153,1)}
       195:{3,5,6,7}:{(153,1),(233,1),(242,1),(335,1),(339,1),(550,1)}
       196:{2,3,6}:{(154,1),(156,1),(243,1),(282,1),(375,1)}
       197:{1,4,6}:{(154,1),(155,1),(157,1),(243,1),(244,1)}
       198:{2,5,6}:{(155,1),(158,1),(244,1),(245,1),(442,1)}
       199:{1,3,5,7}:{(156,1),(157,1),(164,1),(243,1),(246,1),(247,1),(250,1),(374,1)}
       200:{2,4,5,7}:{(157,1),(158,1),(165,1),(244,1),(246,1),(247,1),(248,1),(251,1),(347,1),(349,1),(442,1)}
       201:{3,5,7}:{(158,1),(159,1),(245,1),(248,1)}
       202:{3,4,6,7}:{(159,1),(167,1),(248,1),(249,1),(257,1),(346,1),(351,1),(363,1),(388,1),(479,1),(529,1)}
       203:{2,3,5}:{(160,1),(161,1),(250,1),(277,1),(371,1),(510,1)}
       204:{1,4,5}:{(160,1),(162,1),(250,1),(251,1),(347,1),(450,1)}
       205:{1,3,4,6}:{(161,1),(162,1),(164,1),(170,1),(243,1),(250,1),(252,1),(253,1),(260,1),(346,1),(355,1),(356,1),(370,1),(441,1),(450,1)}
       206:{2,4,6}:{(162,1),(163,1),(165,1),(251,1),(253,1)}
       207:{2,3,5,6}:{(163,1),(166,1),(172,1),(245,1),(253,1),(254,1),(259,1),(264,1),(284,1),(345,1),(354,1),(358,1),(363,1),(371,1),(375,1),(377,1),(389,1),(442,1),(473,1),(477,1),(527,1)}
       208:{2,4,7}:{(164,1),(173,1),(246,1),(252,1),(256,1)}
       209:{3,7}:{(165,1),(253,1)}
       210:{2,4,7}:{(166,1),(175,1),(248,1),(254,1),(257,1),(529,1)}
       211:{2,5,7}:{(167,1),(176,1),(249,1),(259,1),(389,1),(442,1)}
       212:{2,3,4}:{(168,1),(260,1),(274,1),(355,1),(368,1),(460,1)}
       213:{1,3,5}:{(168,1),(169,1),(170,1),(260,1),(261,1)}
       214:{1,2,4,5}:{(169,1),(171,1),(178,1),(251,1),(261,1),(262,1),(266,1),(272,1),(353,1),(365,1),(368,1),(371,1),(378,1),(450,1),(463,1),(470,1),(517,1),(523,1)}
       215:{2,6}:{(170,1),(173,1),(261,1)}
       216:{1,3,6}:{(171,1),(174,1),(180,1),(253,1),(262,1),(264,1),(527,1),(546,1)}
       217:{1,4,6}:{(172,1),(175,1),(181,1),(254,1),(266,1),(378,1),(450,1)}
       218:{1,2,7}:{(173,1),(263,1),(267,1),(548,1)}
       219:{2,3,7}:{(173,1),(174,1),(264,1),(267,1),(268,1),(548,1)}
       220:{1,3,4,7}:{(174,1),(175,1),(184,1),(257,1),(265,1),(268,1),(269,1)}
       221:{1,4,5,7}:{(175,1),(176,1),(185,1),(258,1),(266,1),(269,1),(270,1),(374,1)}
       222:{1,5,6}:{(176,1),(186,1),(259,1),(270,1)}
       223:{2,5}:{(177,1),(179,1)}
       224:{3,5}:{(178,1),(180,1),(274,1)}
       225:{1,2,4,6}:{(179,1),(182,1),(187,1),(263,1),(272,1),(275,1),(285,1),(365,1),(370,1),(378,1),(381,1)}
       226:{2,3,6}:{(179,1),(180,1),(183,1),(273,1),(275,1),(366,1)}
       227:{3,4,6}:{(180,1),(181,1),(184,1),(274,1),(277,1),(282,1),(516,1),(546,1)}
       228:{2,4,5}:{(181,1),(190,1),(266,1),(277,1),(286,1),(371,1),(510,1),(542,1)}
       229:{1,3,7}:{(182,1),(183,1),(275,1),(279,1)}
       230:{2,3,4,7}:{(183,1),(184,1),(192,1),(268,1),(276,1),(280,1),(281,1),(472,1),(525,1)}
       231:{3,5,7}:{(184,1),(185,1),(277,1),(282,1)}
       232:{2,4,6}:{(185,1),(186,1),(194,1),(270,1),(282,1),(375,1)}
       233:{2,5,6,7}:{(186,1),(195,1),(271,1),(283,1),(391,1),(544,1)}
       234:{1,3,6}:{(187,1),(188,1),(191,1),(284,1),(285,1)}
       235:{2,4,6}:{(188,1),(189,1),(192,1),(285,1),(286,1)}
       236:{3,5}:{(189,1),(190,1),(286,1)}
       237:{4,5,6}:{(190,1),(194,1),(287,1),(288,1)}
       238:{2,3,5,7}:{(191,1),(279,1),(284,1),(289,1),(377,1),(385,1),(389,1),(392,1)}
       239:{1,4,7}:{(191,1),(192,1),(285,1),(289,1),(378,1)}
       240:{2,4,5,7}:{(192,1),(193,1),(281,1),(286,1),(290,1),(291,1),(379,1),(391,1),(472,1)}
       241:{3,4,6}:{(193,1),(194,1),(282,1),(287,1),(291,1)}
       242:{4,6,7}:{(194,1),(195,1),(288,1),(552,1)}
       243:{1,3,6}:{(196,1),(197,1),(199,1),(293,1),(294,1),(424,1)}
       244:{2,4,6}:{(197,1),(198,1),(200,1),(293,1),(294,1),(295,1)}
       245:{3,5,6}:{(198,1),(201,1),(294,1),(295,1),(397,1)}
       246:{2,5,7}:{(199,1),(208,1),(293,1),(301,1)}
       247:{3,5,7}:{(200,1),(209,1),(294,1),(298,1),(302,1),(397,1)}
       248:{4,7}:{(201,1),(295,1)}
       249:{3,5,7}:{(202,1),(211,1),(299,1),(300,1),(397,1),(435,1)}
       250:{1,3,5}:{(203,1),(204,1),(205,1),(301,1),(302,1),(397,1),(421,1),(481,1)}
       251:{2,4,5}:{(204,1),(206,1),(301,1),(302,1),(405,1)}
       252:{2,4,6}:{(205,1),(208,1),(215,1),(293,1),(301,1),(304,1),(312,1),(405,1)}
       253:{3,6}:{(206,1),(209,1),(302,1)}
       254:{2,4,6}:{(207,1),(210,1),(217,1),(295,1),(305,1),(306,1),(405,1),(426,1),(507,1)}
       255:{1,2,4,7}:{(208,1),(218,1),(296,1),(303,1),(307,1),(320,1),(400,1),(412,1)}
       256:{2,3,7}:{(208,1),(209,1),(304,1),(307,1)}
       257:{3,4,7}:{(209,1),(210,1),(305,1),(309,1),(541,1)}
       258:{2,4,5,7}:{(210,1),(211,1),(221,1),(299,1),(306,1),(309,1),(310,1),(321,1)}
       259:{2,5,6}:{(211,1),(222,1),(300,1),(310,1)}
       260:{1,3,4}:{(212,1),(213,1),(312,1),(416,1),(418,1)}
       261:{2,5}:{(213,1),(215,1),(312,1)}
       262:{1,3,5}:{(214,1),(216,1),(224,1),(302,1),(314,1),(315,1),(416,1),(503,1),(535,1)}
       263:{1,2,6}:{(215,1),(218,1),(313,1),(316,1),(539,1)}
       264:{2,3,6}:{(215,1),(216,1),(219,1),(314,1),(316,1),(317,1),(539,1)}
       265:{1,3,4,6}:{(216,1),(217,1),(220,1),(227,1),(305,1),(315,1),(317,1),(318,1),(322,1)}
       266:{1,4,5}:{(217,1),(228,1),(306,1),(318,1),(337,1),(421,1),(481,1)}
       267:{1,3,7}:{(218,1),(219,1),(316,1),(320,1)}
       268:{2,4,7}:{(219,1),(220,1),(317,1),(320,1),(321,1)}
       269:{1,3,5,7}:{(220,1),(221,1),(231,1),(309,1),(318,1),(321,1),(322,1)}
       270:{1,4,6}:{(221,1),(222,1),(232,1),(310,1),(322,1),(424,1)}
       271:{1,5,6,7}:{(222,1),(233,1),(311,1),(323,1),(437,1),(532,1)}
       272:{1,2,5}:{(223,1),(225,1),(324,1),(337,1),(421,1),(430,1)}
       273:{2,3,5}:{(223,1),(224,1),(226,1),(324,1),(325,1)}
       274:{3,4}:{(224,1),(325,1)}
       275:{1,3,6}:{(225,1),(226,1),(229,1),(324,1),(327,1),(416,1)}
       276:{2,3,4,6}:{(226,1),(227,1),(230,1),(235,1),(317,1),(325,1),(328,1),(329,1),(334,1),(417,1),(428,1),(499,1)}
       277:{3,5}:{(227,1),(228,1)}
       278:{2,4,5,6}:{(228,1),(232,1),(237,1),(319,1),(330,1),(331,1),(338,1),(422,1),(428,1),(531,1),(536,1),(549,1)}
       279:{2,3,7}:{(229,1),(327,1),(332,1),(541,1)}
       280:{1,3,4,7}:{(229,1),(230,1),(239,1),(320,1),(328,1),(332,1),(333,1),(340,1),(505,1),(540,1),(541,1)}
       281:{2,3,5,7}:{(230,1),(231,1),(240,1),(321,1),(329,1),(333,1),(334,1)}
       282:{3,6}:{(231,1),(232,1)}
       283:{2,4,6,7}:{(232,1),(233,1),(242,1),(323,1),(331,1),(335,1),(425,1)}
       284:{2,3,6}:{(234,1),(238,1),(336,1),(433,1),(438,1)}
       285:{1,4,6}:{(234,1),(235,1),(239,1),(336,1),(337,1)}
       286:{2,5}:{(235,1),(236,1),(337,1)}
       287:{3,5,6}:{(236,1),(237,1),(241,1),(338,1),(339,1)}
       288:{4,5,7}:{(237,1),(242,1),(339,1)}
       289:{2,4,7}:{(238,1),(239,1),(336,1),(340,1),(426,1)}
       290:{1,4,5,7}:{(239,1),(240,1),(333,1),(337,1),(341,1),(342,1),(427,1),(437,1),(505,1)}
       291:{2,4,6}:{(240,1),(241,1),(334,1),(338,1),(342,1)}
       292:{3,4,6,7}:{(241,1),(242,1),(335,1),(339,1),(343,1),(429,1)}
       293:{2,6}:{(243,1),(246,1)}
       294:{3,6}:{(244,1),(247,1)}
       295:{4,6}:{(245,1),(248,1),(347,1)}
       296:{1,2,5,7}:{(246,1),(255,1),(344,1),(348,1),(353,1),(374,1),(457,1)}
       297:{2,3,5,7}:{(246,1),(247,1),(256,1),(345,1),(348,1),(349,1),(354,1),(442,1)}
       298:{3,4,7}:{(247,1),(248,1),(346,1),(349,1),(355,1)}
       299:{4,5,7}:{(248,1),(249,1),(347,1),(351,1),(476,1),(529,1)}
       300:{3,5,6}:{(249,1),(259,1),(351,1),(363,1)}
       301:{2,5}:{(250,1),(252,1)}
       302:{3,5}:{(251,1),(253,1),(355,1)}
       303:{1,2,4,6}:{(252,1),(255,1),(263,1),(344,1),(353,1),(356,1),(365,1),(370,1),(441,1),(450,1),(453,1)}
       304:{2,3,6}:{(252,1),(253,1),(256,1),(354,1),(356,1),(366,1)}
       305:{3,4,6}:{(253,1),(254,1),(257,1),(355,1),(358,1),(363,1),(469,1),(527,1)}
       306:{2,4,5}:{(254,1),(266,1),(347,1),(358,1),(371,1),(389,1),(442,1),(476,1)}
       307:{1,3,7}:{(255,1),(256,1),(356,1),(360,1)}
       308:{2,3,4,7}:{(256,1),(257,1),(268,1),(349,1),(357,1),(361,1),(362,1),(519,1),(525,1)}
       309:{3,5,7}:{(257,1),(258,1),(358,1),(363,1)}
       310:{2,4,6}:{(258,1),(259,1),(270,1),(351,1),(363,1),(375,1)}
       311:{2,5,6,7}:{(259,1),(271,1),(352,1),(364,1),(478,1),(512,1)}
       312:{2,4}:{(260,1),(261,1),(366,1)}
       313:{1,2,5}:{(261,1),(263,1),(365,1),(367,1),(523,1)}
       314:{2,3,5}:{(261,1),(262,1),(264,1),(366,1),(367,1),(368,1),(371,1),(460,1),(523,1)}
       315:{1,3,4}:{(262,1),(274,1),(355,1),(368,1),(378,1),(450,1),(469,1),(516,1)}
       316:{1,3,6}:{(263,1),(264,1),(267,1),(367,1),(370,1)}
       317:{2,4,6}:{(264,1),(265,1),(268,1),(368,1),(370,1),(371,1),(375,1)}
       318:{1,3,5}:{(265,1),(266,1),(277,1),(358,1),(371,1)}
       319:{1,4,5,6}:{(266,1),(270,1),(278,1),(359,1),(372,1),(373,1),(390,1),(466,1),(471,1),(511,1),(518,1)}
       320:{1,4,7}:{(267,1),(268,1),(370,1),(374,1)}
       321:{2,5,7}:{(268,1),(269,1),(371,1),(374,1),(375,1)}
       322:{1,3,6}:{(269,1),(270,1),(282,1),(363,1),(375,1)}
       323:{1,4,6,7}:{(270,1),(271,1),(283,1),(364,1),(373,1),(376,1),(468,1)}
       324:{1,3,5}:{(272,1),(273,1),(275,1),(377,1),(378,1)}
       325:{2,4}:{(273,1),(274,1),(378,1)}
       326:{3,4,5}:{(274,1),(277,1),(379,1),(380,1),(542,1)}
       327:{2,3,6}:{(275,1),(279,1),(377,1),(381,1),(460,1),(527,1)}
       328:{1,3,4,6}:{(275,1),(276,1),(280,1),(285,1),(370,1),(378,1),(381,1),(382,1),(386,1),(388,1),(461,1),(469,1),(471,1),(524,1),(527,1)}
       329:{2,3,5}:{(276,1),(277,1),(286,1),(371,1),(379,1),(382,1)}
       330:{3,5,6}:{(277,1),(278,1),(282,1),(380,1),(384,1),(546,1)}
       331:{2,4,5,7}:{(278,1),(283,1),(288,1),(373,1),(384,1),(391,1),(467,1),(472,1),(544,1),(547,1),(552,1)}
       332:{2,4,7}:{(279,1),(280,1),(381,1),(385,1),(548,1)}
       333:{1,3,5,7}:{(280,1),(281,1),(290,1),(374,1),(382,1),(385,1),(386,1),(392,1)}
       334:{2,3,6}:{(281,1),(282,1),(291,1),(375,1),(386,1)}
       335:{3,6,7}:{(282,1),(283,1),(384,1)}
       336:{2,4,6}:{(284,1),(285,1),(289,1),(388,1),(389,1)}
       337:{1,5}:{(285,1),(286,1),(389,1)}
       338:{2,5,6}:{(286,1),(287,1),(291,1),(390,1),(391,1)}
       339:{3,5,7}:{(287,1),(288,1),(292,1),(391,1)}
       340:{3,4,7}:{(289,1),(388,1),(392,1),(469,1),(529,1)}
       341:{2,4,5,7}:{(289,1),(290,1),(385,1),(389,1),(392,1),(393,1),(470,1),(476,1),(478,1),(528,1),(529,1)}
       342:{1,4,6}:{(290,1),(291,1),(386,1),(390,1),(393,1)}
       343:{2,4,6,7}:{(291,1),(292,1),(387,1),(391,1),(394,1),(472,1)}
       344:{1,2,6}:{(293,1),(296,1),(395,1),(424,1),(495,1)}
       345:{2,3,6}:{(293,1),(294,1),(297,1),(395,1),(396,1)}
       346:{3,4,6}:{(294,1),(295,1),(298,1),(396,1),(397,1)}
       347:{4,5}:{(295,1),(397,1)}
       348:{1,3,5,7}:{(296,1),(297,1),(307,1),(395,1),(399,1),(400,1),(404,1),(481,1)}
       349:{2,4,7}:{(297,1),(298,1),(396,1),(400,1),(405,1)}
       350:{3,4,5,7}:{(298,1),(299,1),(309,1),(397,1),(401,1),(402,1),(406,1),(483,1),(491,1)}
       351:{4,6}:{(299,1),(300,1)}
       352:{3,5,6,7}:{(300,1),(311,1),(403,1),(415,1),(483,1),(508,1)}
       353:{1,2,5}:{(301,1),(303,1),(404,1),(421,1),(481,1),(492,1)}
       354:{2,3,5}:{(301,1),(302,1),(304,1),(404,1),(405,1)}
       355:{3,4}:{(302,1),(405,1)}
       356:{1,3,6}:{(303,1),(304,1),(307,1),(404,1),(407,1),(416,1)}
       357:{2,3,4,6}:{(304,1),(305,1),(308,1),(317,1),(396,1),(405,1),(408,1),(409,1),(414,1),(417,1),(490,1),(499,1)}
       358:{3,5}:{(305,1),(306,1)}
       359:{2,4,5,6}:{(306,1),(310,1),(319,1),(398,1),(410,1),(411,1),(422,1),(436,1),(482,1),(490,1),(504,1),(507,1)}
       360:{2,3,7}:{(307,1),(407,1),(412,1),(551,1)}
       361:{1,3,4,7}:{(307,1),(308,1),(320,1),(400,1),(408,1),(412,1),(413,1),(484,1),(537,1),(540,1),(551,1)}
       362:{2,3,5,7}:{(308,1),(309,1),(321,1),(401,1),(409,1),(413,1),(414,1)}
       363:{3,6}:{(309,1),(310,1)}
       364:{2,4,6,7}:{(310,1),(311,1),(323,1),(403,1),(411,1),(415,1),(425,1)}
       365:{1,2,4}:{(312,1),(313,1),(416,1),(418,1),(497,1)}
       366:{2,3}:{(312,1),(416,1)}
       367:{1,3,5}:{(313,1),(314,1),(316,1),(416,1),(418,1),(421,1)}
       368:{2,4}:{(314,1),(315,1),(418,1)}
       369:{1,3,4,5}:{(315,1),(318,1),(326,1),(406,1),(419,1),(420,1),(427,1),(489,1),(498,1),(503,1),(535,1)}
       370:{1,4,6}:{(316,1),(317,1),(320,1),(418,1),(421,1),(424,1)}
       371:{2,5}:{(317,1),(318,1),(421,1)}
       372:{1,3,5,6}:{(318,1),(319,1),(322,1),(330,1),(410,1),(420,1),(422,1),(423,1)}
       373:{1,4,5,7}:{(319,1),(323,1),(331,1),(411,1),(423,1),(437,1),(502,1),(505,1),(532,1),(537,1)}
       374:{1,5,7}:{(320,1),(321,1),(421,1),(424,1)}
       375:{2,6}:{(321,1),(322,1),(424,1)}
       376:{1,3,6,7}:{(322,1),(323,1),(335,1),(415,1),(423,1),(425,1)}
       377:{2,3,5}:{(324,1),(327,1),(426,1),(430,1),(503,1)}
       378:{1,4}:{(324,1),(325,1),(426,1)}
       379:{2,4,5}:{(325,1),(326,1),(329,1),(427,1),(428,1)}
       380:{3,4,6}:{(326,1),(330,1),(428,1),(429,1),(549,1)}
       381:{2,4,6}:{(327,1),(328,1),(332,1),(426,1),(430,1),(433,1),(497,1),(539,1)}
       382:{1,3,5}:{(328,1),(329,1),(337,1),(421,1),(427,1),(430,1),(435,1),(503,1)}
       383:{2,3,5,6}:{(329,1),(330,1),(334,1),(338,1),(422,1),(428,1),(431,1),(432,1),(499,1)}
       384:{3,5,7}:{(330,1),(331,1),(335,1),(429,1),(551,1)}
       385:{2,5,7}:{(332,1),(333,1),(430,1),(433,1)}
       386:{1,3,6}:{(333,1),(334,1),(342,1),(424,1),(433,1),(438,1)}
       387:{2,3,6,7}:{(334,1),(335,1),(343,1),(425,1),(432,1),(434,1)}
       388:{3,4,6}:{(336,1),(340,1),(435,1),(438,1),(507,1)}
       389:{2,5}:{(336,1),(337,1),(435,1)}
       390:{1,5,6}:{(337,1),(338,1),(342,1),(436,1),(437,1)}
       391:{2,5,7}:{(338,1),(339,1),(343,1),(437,1)}
       392:{3,5,7}:{(340,1),(341,1),(435,1),(438,1),(503,1),(541,1)}
       393:{2,4,6}:{(341,1),(342,1),(433,1),(436,1),(438,1),(507,1)}
       394:{1,4,6,7}:{(342,1),(343,1),(434,1),(437,1),(439,1),(505,1)}
       395:{1,3,6}:{(344,1),(345,1),(348,1),(440,1),(441,1)}
       396:{2,4,6}:{(345,1),(346,1),(349,1),(441,1),(442,1)}
       397:{3,5}:{(346,1),(347,1),(442,1)}
       398:{4,5,6}:{(347,1),(351,1),(443,1),(444,1)}
       399:{2,3,5,7}:{(348,1),(360,1),(440,1),(445,1),(449,1),(457,1),(510,1),(513,1)}
       400:{1,4,7}:{(348,1),(349,1),(441,1),(445,1),(450,1)}
       401:{2,4,5,7}:{(349,1),(350,1),(362,1),(442,1),(446,1),(447,1),(451,1),(512,1),(519,1)}
       402:{3,4,6}:{(350,1),(351,1),(363,1),(443,1),(447,1)}
       403:{4,6,7}:{(351,1),(352,1),(444,1),(529,1)}
       404:{1,3,5}:{(353,1),(354,1),(356,1),(449,1),(450,1)}
       405:{2,4}:{(354,1),(355,1),(450,1)}
       406:{3,4,5}:{(355,1),(358,1),(451,1),(452,1),(476,1)}
       407:{2,3,6}:{(356,1),(360,1),(449,1),(453,1),(460,1),(546,1)}
       408:{1,3,4,6}:{(356,1),(357,1),(361,1),(370,1),(441,1),(450,1),(453,1),(454,1),(458,1),(461,1),(509,1),(516,1),(518,1),(524,1),(546,1)}
       409:{2,3,5}:{(357,1),(358,1),(371,1),(442,1),(451,1),(454,1)}
       410:{3,5,6}:{(358,1),(359,1),(363,1),(452,1),(456,1),(527,1)}
       411:{2,4,5,7}:{(359,1),(364,1),(373,1),(444,1),(456,1),(467,1),(478,1),(512,1),(519,1),(528,1),(529,1)}
       412:{2,4,7}:{(360,1),(361,1),(453,1),(457,1),(548,1)}
       413:{1,3,5,7}:{(361,1),(362,1),(374,1),(446,1),(454,1),(457,1),(458,1),(513,1)}
       414:{2,3,6}:{(362,1),(363,1),(375,1),(447,1),(458,1)}
       415:{3,6,7}:{(363,1),(364,1),(456,1)}
       416:{1,3}:{(365,1),(366,1),(460,1)}
       417:{2,3,4}:{(366,1),(368,1),(461,1),(462,1),(469,1),(516,1)}
       418:{1,4}:{(367,1),(368,1)}
       419:{2,4,5}:{(368,1),(369,1),(371,1),(462,1),(463,1),(464,1),(523,1)}
       420:{1,3,4,6}:{(369,1),(372,1),(380,1),(452,1),(464,1),(465,1),(471,1),(518,1),(524,1),(527,1),(546,1)}
       421:{1,5}:{(370,1),(371,1)}
       422:{2,5,6}:{(371,1),(372,1),(375,1),(464,1),(466,1),(467,1)}
       423:{1,3,5,7}:{(372,1),(373,1),(376,1),(384,1),(456,1),(465,1),(467,1)}
       424:{1,6}:{(374,1),(375,1)}
       425:{2,6,7}:{(375,1),(376,1),(467,1),(468,1)}
       426:{2,4}:{(377,1),(378,1),(469,1)}
       427:{1,4,5}:{(378,1),(379,1),(382,1),(470,1),(471,1),(476,1)}
       428:{2,4,6}:{(379,1),(380,1),(383,1),(471,1),(472,1)}
       429:{3,4,7}:{(380,1),(384,1),(472,1),(552,1)}
       430:{2,5}:{(381,1),(382,1)}
       431:{1,3,5,6}:{(382,1),(383,1),(386,1),(390,1),(466,1),(471,1),(473,1),(474,1),(477,1),(524,1),(527,1)}
       432:{2,3,5,7}:{(383,1),(384,1),(387,1),(391,1),(467,1),(472,1),(474,1),(525,1)}
       433:{2,6}:{(385,1),(386,1)}
       434:{1,3,6,7}:{(386,1),(387,1),(394,1),(468,1),(474,1),(475,1),(479,1)}
       435:{3,5}:{(388,1),(389,1),(476,1)}
       436:{2,5,6}:{(389,1),(390,1),(393,1),(477,1),(478,1)}
       437:{1,5,7}:{(390,1),(391,1),(394,1),(478,1)}
       438:{3,6}:{(392,1),(393,1)}
       439:{2,4,6,7}:{(393,1),(394,1),(475,1),(478,1),(479,1),(528,1),(529,1)}
       440:{2,3,6}:{(395,1),(399,1),(480,1),(495,1),(533,1)}
       441:{1,4,6}:{(395,1),(396,1),(400,1),(480,1),(481,1)}
       442:{2,5}:{(396,1),(397,1),(481,1)}
       443:{3,5,6}:{(397,1),(398,1),(402,1),(482,1),(483,1)}
       444:{4,5,7}:{(398,1),(403,1),(483,1)}
       445:{2,4,7}:{(399,1),(400,1),(480,1),(484,1),(488,1)}
       446:{1,4,5,7}:{(400,1),(401,1),(413,1),(481,1),(485,1),(486,1),(489,1),(532,1),(537,1)}
       447:{2,4,6}:{(401,1),(402,1),(414,1),(482,1),(486,1)}
       448:{3,4,6,7}:{(402,1),(403,1),(415,1),(483,1),(487,1),(491,1)}
       449:{2,3,5}:{(404,1),(407,1),(488,1),(492,1),(535,1)}
       450:{1,4}:{(404,1),(405,1),(488,1)}
       451:{2,4,5}:{(405,1),(406,1),(409,1),(489,1),(490,1)}
       452:{3,4,6}:{(406,1),(410,1),(490,1),(491,1),(507,1)}
       453:{2,4,6}:{(407,1),(408,1),(412,1),(488,1),(492,1),(495,1),(497,1),(539,1)}
       454:{1,3,5}:{(408,1),(409,1),(421,1),(481,1),(489,1),(492,1),(530,1),(535,1)}
       455:{2,3,5,6}:{(409,1),(410,1),(414,1),(422,1),(482,1),(490,1),(493,1),(494,1),(499,1)}
       456:{3,5,7}:{(410,1),(411,1),(415,1),(491,1),(541,1)}
       457:{2,5,7}:{(412,1),(413,1),(492,1),(495,1)}
       458:{1,3,6}:{(413,1),(414,1),(424,1),(486,1),(495,1),(533,1)}
       459:{2,3,6,7}:{(414,1),(415,1),(425,1),(487,1),(494,1),(496,1)}
       460:{2,3}:{(416,1),(497,1)}
       461:{1,3,4}:{(416,1),(417,1),(418,1),(497,1),(498,1)}
       462:{2,3,5}:{(417,1),(419,1),(498,1),(499,1),(503,1),(535,1)}
       463:{1,4,5}:{(418,1),(419,1),(421,1),(498,1),(500,1)}
       464:{2,4,6}:{(419,1),(420,1),(422,1),(499,1),(500,1),(501,1),(539,1)}
       465:{1,3,4,7}:{(420,1),(423,1),(429,1),(491,1),(501,1),(505,1),(537,1),(540,1),(541,1),(551,1)}
       466:{1,5,6}:{(421,1),(422,1),(424,1),(500,1),(502,1)}
       467:{2,5,7}:{(422,1),(423,1),(425,1),(501,1),(502,1)}
       468:{1,6,7}:{(424,1),(425,1),(502,1)}
       469:{3,4}:{(426,1),(503,1)}
       470:{2,4,5}:{(426,1),(427,1),(430,1),(503,1),(504,1)}
       471:{1,4,6}:{(427,1),(428,1),(431,1),(504,1),(505,1),(507,1)}
       472:{2,4,7}:{(428,1),(429,1),(432,1),(505,1)}
       473:{2,5,6}:{(430,1),(431,1),(433,1),(504,1),(506,1),(539,1)}
       474:{1,3,5,7}:{(431,1),(432,1),(434,1),(437,1),(502,1),(505,1),(506,1),(508,1),(540,1),(541,1)}
       475:{2,6,7}:{(433,1),(434,1),(506,1)}
       476:{4,5}:{(435,1),(507,1)}
       477:{3,5,6}:{(435,1),(436,1),(438,1),(507,1),(508,1)}
       478:{2,5,7}:{(436,1),(437,1),(439,1),(508,1)}
       479:{3,6,7}:{(438,1),(439,1),(508,1),(541,1)}
       480:{2,4,6}:{(440,1),(441,1),(445,1),(509,1),(510,1)}
       481:{1,5}:{(441,1),(442,1),(510,1)}
       482:{2,5,6}:{(442,1),(443,1),(447,1),(511,1),(512,1)}
       483:{3,5,7}:{(443,1),(444,1),(448,1),(512,1)}
       484:{3,4,7}:{(445,1),(509,1),(513,1),(516,1),(552,1)}
       485:{2,4,5,7}:{(445,1),(446,1),(457,1),(510,1),(513,1),(514,1),(517,1),(542,1),(544,1),(547,1),(552,1)}
       486:{1,4,6}:{(446,1),(447,1),(458,1),(511,1),(514,1)}
       487:{2,4,6,7}:{(447,1),(448,1),(459,1),(512,1),(515,1),(519,1)}
       488:{2,4}:{(449,1),(450,1),(516,1)}
       489:{1,4,5}:{(450,1),(451,1),(454,1),(517,1),(518,1),(542,1)}
       490:{2,4,6}:{(451,1),(452,1),(455,1),(518,1),(519,1)}
       491:{3,4,7}:{(452,1),(456,1),(519,1),(529,1)}
       492:{2,5}:{(453,1),(454,1)}
       493:{1,3,5,6}:{(454,1),(455,1),(458,1),(466,1),(511,1),(518,1),(520,1),(521,1),(524,1),(543,1),(546,1)}
       494:{2,3,5,7}:{(455,1),(456,1),(459,1),(467,1),(512,1),(519,1),(521,1),(525,1)}
       495:{2,6}:{(457,1),(458,1)}
       496:{1,3,6,7}:{(458,1),(459,1),(468,1),(515,1),(521,1),(522,1),(545,1)}
       497:{2,4}:{(460,1),(461,1),(523,1)}
       498:{1,3,5}:{(461,1),(462,1),(463,1),(523,1),(524,1)}
       499:{2,3,6}:{(462,1),(464,1),(524,1),(525,1),(527,1),(546,1)}
       500:{1,4,6}:{(463,1),(464,1),(466,1),(524,1),(526,1)}
       501:{2,4,7}:{(464,1),(465,1),(467,1),(525,1),(526,1),(548,1)}
       502:{1,5,7}:{(466,1),(467,1),(468,1),(526,1)}
       503:{3,5}:{(469,1),(470,1),(527,1)}
       504:{2,4,6}:{(470,1),(471,1),(473,1),(527,1),(528,1)}
       505:{1,4,7}:{(471,1),(472,1),(474,1),(528,1),(529,1)}
       506:{2,5,7}:{(473,1),(474,1),(475,1),(528,1),(548,1)}
       507:{4,6}:{(476,1),(477,1),(529,1)}
       508:{3,5,7}:{(477,1),(478,1),(479,1),(529,1)}
       509:{3,4,6}:{(480,1),(484,1),(530,1),(533,1),(549,1)}
       510:{2,5}:{(480,1),(481,1),(530,1)}
       511:{1,5,6}:{(481,1),(482,1),(486,1),(531,1),(532,1)}
       512:{2,5,7}:{(482,1),(483,1),(487,1),(532,1)}
       513:{3,5,7}:{(484,1),(485,1),(530,1),(533,1),(535,1),(551,1)}
       514:{2,4,6}:{(485,1),(486,1),(495,1),(531,1),(533,1),(549,1)}
       515:{1,4,6,7}:{(486,1),(487,1),(496,1),(532,1),(534,1),(537,1)}
       516:{3,4}:{(488,1),(535,1)}
       517:{2,4,5}:{(488,1),(489,1),(492,1),(535,1),(536,1)}
       518:{1,4,6}:{(489,1),(490,1),(493,1),(536,1),(537,1),(549,1)}
       519:{2,4,7}:{(490,1),(491,1),(494,1),(537,1)}
       520:{2,5,6}:{(492,1),(493,1),(495,1),(536,1),(538,1),(539,1)}
       521:{1,3,5,7}:{(493,1),(494,1),(496,1),(502,1),(532,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       522:{2,6,7}:{(495,1),(496,1),(538,1)}
       523:{2,5}:{(497,1),(498,1),(539,1)}
       524:{1,3,6}:{(498,1),(499,1),(500,1),(539,1),(540,1)}
       525:{2,3,7}:{(499,1),(501,1),(540,1),(541,1),(551,1)}
       526:{1,4,7}:{(500,1),(501,1),(502,1),(540,1)}
       527:{3,6}:{(503,1),(504,1),(541,1)}
       528:{2,4,7}:{(504,1),(505,1),(506,1),(541,1)}
       529:{4,7}:{(507,1),(508,1)}
       530:{3,5}:{(509,1),(510,1),(542,1)}
       531:{2,5,6}:{(510,1),(511,1),(514,1),(543,1),(544,1)}
       532:{1,5,7}:{(511,1),(512,1),(515,1),(544,1)}
       533:{3,6}:{(513,1),(514,1)}
       534:{2,4,6,7}:{(514,1),(515,1),(522,1),(544,1),(545,1),(547,1),(552,1)}
       535:{3,5}:{(516,1),(517,1),(546,1)}
       536:{2,4,6}:{(517,1),(518,1),(520,1),(546,1),(547,1)}
       537:{1,4,7}:{(518,1),(519,1),(521,1),(547,1),(552,1)}
       538:{2,5,7}:{(520,1),(521,1),(522,1),(547,1),(548,1)}
       539:{2,6}:{(523,1),(524,1),(548,1)}
       540:{1,3,7}:{(524,1),(525,1),(526,1),(548,1)}
       541:{3,7}:{(527,1),(528,1)}
       542:{4,5}:{(530,1),(549,1)}
       543:{3,5,6}:{(530,1),(531,1),(533,1),(549,1),(550,1)}
       544:{2,5,7}:{(531,1),(532,1),(534,1),(550,1)}
       545:{3,6,7}:{(533,1),(534,1),(550,1),(551,1)}
       546:{3,6}:{(535,1),(536,1),(551,1)}
       547:{2,4,7}:{(536,1),(537,1),(538,1),(551,1)}
       548:{2,7}:{(539,1),(540,1)}
       549:{4,6}:{(542,1),(543,1),(552,1)}
       550:{3,5,7}:{(543,1),(544,1),(545,1),(552,1)}
       551:{3,7}:{(546,1),(547,1)}
       552:{4,7}:{(549,1),(550,1)}

 376 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{1,3,4}:{(1,1),(4,1),(5,1)}
        3:{1,2,5}:{(1,1),(5,1),(6,1)}
        4:{2,3,4}:{(2,1),(7,1),(8,1)}
        5:{1,3,5}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,2,6}:{(3,1),(10,1),(11,1)}
        7:{1,3,4}:{(4,1),(12,1),(13,1)}
        8:{2,3,5}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,4,5}:{(5,1),(14,1),(16,1)}
       10:{1,3,6}:{(5,1),(6,1),(15,1),(16,1),(17,1)}
       11:{1,2,7}:{(6,1),(17,1)}
       12:{1,2,4}:{(7,1),(18,1),(19,1)}
       13:{1,3,5}:{(7,1),(8,1),(19,1),(20,1),(21,1)}
       14:{2,4,5}:{(8,1),(9,1),(20,1),(22,1),(23,1)}
       15:{2,3,6}:{(8,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,4,6}:{(9,1),(10,1),(23,1),(25,1),(26,1)}
       17:{1,3,7}:{(10,1),(11,1),(24,1),(26,1)}
       18:{1,2,3}:{(12,1)}
       19:{1,2,5}:{(12,1),(13,1),(27,1)}
       20:{1,4,5}:{(13,1),(14,1),(28,1)}
       21:{1,3,6}:{(13,1),(15,1),(27,1),(28,1),(29,1)}
       22:{3,4,5}:{(14,1),(30,1)}
       23:{2,4,6}:{(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(32,1)}
       24:{2,3,7}:{(15,1),(17,1),(29,1),(32,1)}
       25:{1,5,6}:{(16,1),(31,1),(33,1)}
       26:{1,4,7}:{(16,1),(17,1),(32,1),(33,1)}
       27:{1,2,6}:{(19,1),(21,1),(34,1)}
       28:{1,4,6}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
       29:{1,3,7}:{(21,1),(24,1),(34,1),(36,1)}
       30:{3,4,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{2,5,6}:{(23,1),(25,1),(35,1),(37,1),(39,1)}
       32:{2,4,7}:{(23,1),(24,1),(26,1),(36,1),(38,1),(39,1)}
       33:{1,5,7}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,2,7}:{(27,1),(29,1)}
       35:{1,5,6}:{(28,1),(31,1),(41,1)}
       36:{1,4,7}:{(28,1),(29,1),(32,1),(41,1)}
       37:{3,5,6}:{(30,1),(31,1),(42,1),(43,1)}
       38:{3,4,7}:{(30,1),(32,1),(43,1)}
       39:{2,5,7}:{(31,1),(32,1),(33,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(33,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 377 :   0:{1,2,4}:{(2,1),(3,1),(4,1),(15,1)}
         1:{1,3,4}:{(2,1),(4,1),(5,1),(15,1),(39,1)}
         2:{1,3}:{(0,1),(6,1)}
         3:{1,2,5}:{(0,1),(7,1),(8,1),(10,1),(101,1)}
         4:{2,4}:{(1,1),(6,1),(9,1),(10,1)}
         5:{1,3,5}:{(1,1),(10,1),(11,1),(12,1),(31,1)}
         6:{2,3}:{(2,1),(4,1),(13,1)}
         7:{1,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(42,1),(77,1),(95,1)}
         8:{1,2,6}:{(3,1),(16,1),(17,1),(20,1)}
         9:{1,4}:{(4,1),(13,1),(18,1)}
        10:{2,5}:{(4,1),(5,1),(18,1),(20,1)}
        11:{1,4,5}:{(5,1),(15,1),(19,1),(21,1),(42,1),(77,1)}
        12:{1,3,6}:{(5,1),(20,1),(21,1),(22,1),(47,1)}
        13:{1,3}:{(6,1),(9,1),(23,1)}
        14:{2,3,5}:{(6,1),(7,1),(10,1),(24,1),(25,1),(26,1),(31,1),(57,1),(60,1),(84,1)}
        15:{1,4}:{(7,1),(25,1)}
        16:{1,3,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(90,1)}
        17:{1,2,7}:{(8,1),(28,1),(33,1)}
        18:{1,5}:{(9,1),(10,1),(30,1)}
        19:{2,4,5}:{(10,1),(11,1),(25,1),(29,1),(31,1),(32,1),(57,1),(60,1),(87,1)}
        20:{2,6}:{(10,1),(12,1),(30,1),(33,1)}
        21:{1,4,6}:{(11,1),(12,1),(32,1),(34,1),(35,1),(90,1)}
        22:{1,3,7}:{(12,1),(33,1),(35,1),(65,1)}
        23:{1,2}:{(13,1)}
        24:{1,3,5}:{(13,1),(14,1),(18,1),(36,1),(37,1),(38,1),(68,1),(71,1)}
        25:{2,4}:{(14,1),(15,1),(37,1),(39,1)}
        26:{2,3,6}:{(14,1),(16,1),(20,1),(38,1),(40,1),(41,1),(47,1),(78,1)}
        27:{1,4,6}:{(15,1),(16,1),(40,1),(42,1),(43,1),(76,1)}
        28:{1,3,7}:{(16,1),(17,1),(41,1),(43,1),(99,1)}
        29:{1,4,5}:{(18,1),(19,1),(37,1),(44,1),(45,1),(71,1)}
        30:{1,6}:{(18,1),(20,1),(46,1)}
        31:{3,5}:{(19,1),(39,1),(47,1)}
        32:{2,4,6}:{(19,1),(20,1),(21,1),(45,1),(47,1),(48,1),(49,1),(78,1),(81,1)}
        33:{2,7}:{(20,1),(22,1),(46,1)}
        34:{1,5,6}:{(21,1),(42,1),(48,1),(50,1),(76,1)}
        35:{1,4,7}:{(21,1),(22,1),(49,1),(50,1),(99,1)}
        36:{1,2,5}:{(23,1),(24,1),(51,1),(52,1),(60,1)}
        37:{1,4}:{(24,1),(25,1)}
        38:{1,3,6}:{(24,1),(26,1),(30,1),(52,1),(54,1),(55,1)}
        39:{3,4}:{(25,1),(31,1)}
        40:{2,4,6}:{(25,1),(26,1),(27,1),(54,1),(56,1),(57,1),(58,1),(89,1)}
        41:{2,3,7}:{(26,1),(28,1),(33,1),(55,1),(58,1),(65,1),(91,1)}
        42:{1,5}:{(27,1),(57,1)}
        43:{1,4,7}:{(27,1),(28,1),(58,1),(59,1)}
        44:{1,3,5}:{(29,1),(31,1),(53,1),(60,1),(61,1)}
        45:{1,4,6}:{(29,1),(30,1),(32,1),(61,1),(62,1),(63,1)}
        46:{1,7}:{(30,1),(33,1)}
        47:{3,6}:{(31,1),(32,1),(65,1)}
        48:{2,5,6}:{(32,1),(34,1),(57,1),(62,1),(64,1),(66,1),(89,1)}
        49:{2,4,7}:{(32,1),(33,1),(35,1),(63,1),(65,1),(66,1),(91,1),(93,1)}
        50:{1,5,7}:{(34,1),(35,1),(66,1),(67,1)}
        51:{1,2,4}:{(36,1),(37,1),(68,1),(70,1)}
        52:{1,2,6}:{(36,1),(38,1),(69,1),(78,1)}
        53:{1,3,4}:{(37,1),(39,1),(44,1),(68,1),(70,1)}
        54:{1,4,6}:{(37,1),(38,1),(40,1),(71,1),(72,1),(96,1)}
        55:{1,3,7}:{(38,1),(41,1),(46,1),(69,1),(72,1)}
        56:{3,4,6}:{(39,1),(40,1),(47,1),(73,1),(74,1),(81,1),(98,1)}
        57:{2,5}:{(40,1),(42,1),(71,1),(73,1)}
        58:{2,4,7}:{(40,1),(41,1),(43,1),(72,1),(74,1),(75,1)}
        59:{1,5,7}:{(42,1),(43,1),(75,1),(76,1)}
        60:{2,5}:{(44,1),(70,1),(77,1),(78,1)}
        61:{1,3,6}:{(44,1),(45,1),(47,1),(78,1),(79,1)}
        62:{1,5,6}:{(45,1),(48,1),(71,1),(80,1),(96,1)}
        63:{1,4,7}:{(45,1),(46,1),(49,1),(79,1),(80,1)}
        64:{3,5,6}:{(47,1),(48,1),(73,1),(81,1),(82,1),(98,1),(104,1)}
        65:{3,7}:{(47,1),(49,1)}
        66:{2,5,7}:{(48,1),(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{1,6,7}:{(50,1),(76,1),(83,1)}
        68:{1,3}:{(51,1),(84,1)}
        69:{1,2,7}:{(52,1),(55,1),(91,1)}
        70:{2,4}:{(53,1),(60,1),(84,1),(85,1)}
        71:{1,5}:{(54,1),(57,1)}
        72:{1,4,7}:{(54,1),(55,1),(58,1),(86,1)}
        73:{3,5}:{(56,1),(57,1),(87,1)}
        74:{3,4,7}:{(56,1),(58,1),(65,1),(88,1),(93,1)}
        75:{2,5,7}:{(57,1),(58,1),(59,1),(86,1),(88,1),(89,1)}
        76:{1,6}:{(59,1),(89,1)}
        77:{1,5}:{(60,1),(85,1),(90,1)}
        78:{2,6}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,3,7}:{(61,1),(63,1),(65,1),(91,1)}
        80:{1,5,7}:{(62,1),(63,1),(66,1),(92,1)}
        81:{4,6}:{(64,1),(87,1),(93,1)}
        82:{3,5,7}:{(64,1),(65,1),(66,1),(93,1),(94,1),(103,1)}
        83:{2,6,7}:{(66,1),(67,1),(89,1),(92,1),(94,1)}
        84:{2,3}:{(68,1),(70,1),(95,1)}
        85:{1,4}:{(70,1),(77,1),(95,1)}
        86:{1,5,7}:{(71,1),(72,1),(75,1),(96,1)}
        87:{4,5}:{(73,1),(81,1)}
        88:{3,5,7}:{(73,1),(74,1),(75,1),(97,1),(98,1)}
        89:{2,6}:{(75,1),(76,1),(96,1),(98,1)}
        90:{1,6}:{(77,1),(78,1),(99,1)}
        91:{2,7}:{(78,1),(79,1),(99,1)}
        92:{1,6,7}:{(80,1),(83,1),(96,1)}
        93:{4,7}:{(81,1),(82,1)}
        94:{3,6,7}:{(82,1),(83,1),(98,1),(100,1)}
        95:{1,3}:{(84,1),(85,1),(101,1)}
        96:{1,6}:{(86,1),(89,1)}
        97:{4,5,7}:{(87,1),(88,1),(93,1),(102,1),(103,1)}
        98:{3,6}:{(88,1),(89,1),(102,1)}
        99:{1,7}:{(90,1),(91,1)}
       100:{4,6,7}:{(93,1),(94,1),(102,1),(103,1)}
       101:{1,2}:{(95,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(100,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 378 :  0:{2,3,4}:{(1,1),(2,1),(11,1),(35,1)}
        1:{1,3,4}:{(0,1),(4,1),(5,1),(8,1),(20,1),(30,1),(47,1),(50,1)}
        2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,2,4}:{(4,1),(8,1),(9,1),(30,1)}
        4:{2,4}:{(1,1),(11,1),(12,1)}
        5:{1,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(37,1)}
        6:{2,4,5}:{(2,1),(13,1),(15,1),(16,1),(35,1),(65,1)}
        7:{2,3,6}:{(2,1),(14,1),(16,1),(17,1)}
        8:{1,3}:{(3,1),(11,1)}
        9:{1,2,5}:{(3,1),(12,1),(18,1),(19,1)}
       10:{1,2,4}:{(4,1),(20,1),(21,1),(47,1)}
       11:{2,3}:{(4,1),(8,1),(20,1)}
       12:{2,5}:{(4,1),(5,1),(24,1)}
       13:{1,4,5}:{(5,1),(6,1),(23,1),(25,1),(30,1),(47,1),(60,1),(74,1)}
       14:{1,3,6}:{(5,1),(7,1),(24,1),(25,1),(26,1),(53,1)}
       15:{3,4,5}:{(6,1),(27,1),(50,1),(76,1)}
       16:{2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(29,1)}
       17:{2,3,7}:{(7,1),(26,1),(29,1)}
       18:{1,3,5}:{(8,1),(9,1),(22,1),(30,1),(31,1),(60,1)}
       19:{1,2,6}:{(9,1),(24,1),(31,1),(32,1)}
       20:{1,3}:{(10,1),(11,1)}
       21:{1,2,5}:{(10,1),(12,1),(33,1),(34,1)}
       22:{2,3,5}:{(11,1),(12,1),(18,1),(33,1),(35,1),(36,1),(37,1),(65,1)}
       23:{2,4,5}:{(12,1),(13,1),(35,1),(37,1),(38,1),(65,1),(85,1)}
       24:{2,6}:{(12,1),(14,1),(39,1)}
       25:{1,4,6}:{(13,1),(14,1),(16,1),(38,1),(40,1),(41,1)}
       26:{1,3,7}:{(14,1),(17,1),(39,1),(41,1),(68,1)}
       27:{3,4,6}:{(15,1),(16,1),(42,1),(43,1)}
       28:{2,5,6}:{(16,1),(40,1),(42,1),(44,1),(65,1),(87,1)}
       29:{2,4,7}:{(16,1),(17,1),(41,1),(43,1),(44,1)}
       30:{1,4}:{(18,1),(35,1)}
       31:{1,3,6}:{(18,1),(19,1),(36,1),(45,1),(46,1)}
       32:{1,2,7}:{(19,1),(39,1),(46,1)}
       33:{1,3,5}:{(20,1),(21,1),(22,1),(47,1),(48,1),(74,1)}
       34:{1,2,6}:{(21,1),(24,1),(48,1),(49,1)}
       35:{2,4}:{(22,1),(30,1),(47,1),(50,1)}
       36:{2,3,6}:{(22,1),(24,1),(31,1),(48,1),(51,1),(52,1),(53,1)}
       37:{3,5}:{(23,1),(50,1),(53,1)}
       38:{2,4,6}:{(23,1),(24,1),(25,1),(53,1),(54,1),(55,1),(79,1)}
       39:{2,7}:{(24,1),(26,1)}
       40:{1,5,6}:{(25,1),(28,1),(54,1),(56,1),(60,1),(74,1),(83,1),(91,1)}
       41:{1,4,7}:{(25,1),(26,1),(29,1),(55,1),(56,1)}
       42:{3,5,6}:{(27,1),(28,1),(57,1),(58,1),(76,1),(93,1)}
       43:{3,4,7}:{(27,1),(29,1),(58,1)}
       44:{2,5,7}:{(28,1),(29,1),(56,1),(58,1),(59,1)}
       45:{1,4,6}:{(30,1),(31,1),(51,1),(60,1),(61,1),(83,1)}
       46:{1,3,7}:{(31,1),(32,1),(52,1),(61,1)}
       47:{1,4}:{(33,1),(35,1)}
       48:{1,3,6}:{(33,1),(34,1),(36,1),(62,1),(63,1)}
       49:{1,2,7}:{(34,1),(39,1),(63,1)}
       50:{3,4}:{(35,1),(37,1)}
       51:{2,4,6}:{(35,1),(36,1),(45,1),(62,1),(64,1),(65,1),(66,1),(87,1)}
       52:{2,3,7}:{(36,1),(39,1),(46,1),(63,1),(66,1),(68,1)}
       53:{3,6}:{(37,1),(38,1),(68,1)}
       54:{2,5,6}:{(38,1),(40,1),(65,1),(67,1),(69,1),(87,1)}
       55:{2,4,7}:{(38,1),(39,1),(41,1),(68,1),(69,1),(88,1)}
       56:{1,5,7}:{(40,1),(41,1),(44,1),(69,1),(70,1)}
       57:{4,5,6}:{(42,1),(71,1),(85,1),(95,1)}
       58:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1)}
       59:{2,6,7}:{(44,1),(70,1),(72,1),(87,1)}
       60:{1,5}:{(45,1),(65,1)}
       61:{1,4,7}:{(45,1),(46,1),(66,1),(73,1)}
       62:{1,4,6}:{(47,1),(48,1),(51,1),(74,1),(75,1),(91,1)}
       63:{1,3,7}:{(48,1),(49,1),(52,1),(75,1)}
       64:{3,4,6}:{(50,1),(51,1),(53,1),(76,1),(77,1),(79,1),(93,1)}
       65:{2,5}:{(51,1),(60,1),(74,1),(76,1)}
       66:{2,4,7}:{(51,1),(52,1),(61,1),(75,1),(77,1),(78,1)}
       67:{3,5,6}:{(53,1),(54,1),(76,1),(79,1),(80,1),(93,1),(97,1)}
       68:{3,7}:{(53,1),(55,1)}
       69:{2,5,7}:{(54,1),(55,1),(56,1),(80,1),(81,1)}
       70:{1,6,7}:{(56,1),(59,1),(81,1),(83,1),(91,1)}
       71:{4,5,7}:{(57,1),(58,1),(82,1)}
       72:{3,6,7}:{(58,1),(59,1),(82,1),(93,1)}
       73:{1,5,7}:{(60,1),(61,1),(78,1),(83,1)}
       74:{1,5}:{(62,1),(65,1)}
       75:{1,4,7}:{(62,1),(63,1),(66,1),(84,1)}
       76:{3,5}:{(64,1),(65,1),(85,1)}
       77:{3,4,7}:{(64,1),(66,1),(68,1),(86,1),(88,1)}
       78:{2,5,7}:{(65,1),(66,1),(73,1),(84,1),(86,1),(87,1)}
       79:{4,6}:{(67,1),(85,1),(88,1)}
       80:{3,5,7}:{(67,1),(68,1),(69,1),(88,1),(89,1),(96,1)}
       81:{2,6,7}:{(69,1),(70,1),(87,1),(89,1)}
       82:{4,6,7}:{(71,1),(72,1),(90,1),(95,1)}
       83:{1,6}:{(73,1),(87,1)}
       84:{1,5,7}:{(74,1),(75,1),(78,1),(91,1)}
       85:{4,5}:{(76,1),(79,1)}
       86:{3,5,7}:{(76,1),(77,1),(78,1),(92,1),(93,1)}
       87:{2,6}:{(78,1),(83,1),(91,1),(93,1)}
       88:{4,7}:{(79,1),(80,1)}
       89:{3,6,7}:{(80,1),(81,1),(93,1),(94,1)}
       90:{5,6,7}:{(82,1),(97,1)}
       91:{1,6}:{(84,1),(87,1)}
       92:{4,5,7}:{(85,1),(86,1),(88,1),(95,1),(96,1)}
       93:{3,6}:{(86,1),(87,1),(95,1)}
       94:{4,6,7}:{(88,1),(89,1),(95,1),(96,1)}
       95:{4,6}:{(92,1),(93,1),(97,1)}
       96:{5,7}:{(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 379 :   0:{1,2,6,7}:{(3,1),(5,1),(155,1),(221,1),(303,1),(316,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(77,1),(132,1),(155,1),(217,1),(229,1),(234,1),(316,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(24,1),(27,1),(61,1),(77,1),(129,1),(145,1),(234,1),(240,1),(318,1)}
         3:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(112,1),(277,1),(351,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(45,1),(47,1),(112,1),(183,1),(187,1),(277,1),(279,1),(351,1),(401,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(113,1),(175,1),(262,1),(274,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(49,1),(93,1),(172,1),(260,1)}
         7:{1,3,5}:{(2,1),(13,1),(15,1),(16,1),(190,1),(284,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(20,1),(21,1),(149,1),(155,1),(232,1),(303,1),(323,1),(368,1)}
         9:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(69,1),(71,1),(77,1),(138,1),(142,1),(149,1),(155,1),(217,1),(232,1),(243,1),(302,1),(323,1),(381,1),(383,1)}
        10:{1,4,6,7}:{(3,1),(20,1),(23,1),(25,1),(75,1),(380,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(25,1),(28,1),(228,1),(233,1)}
        12:{1,4,6}:{(4,1),(22,1),(24,1),(25,1),(318,1)}
        13:{1,3,4}:{(7,1),(27,1),(318,1),(322,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(78,1),(133,1),(218,1),(301,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1),(29,1),(302,1)}
        16:{2,3,5}:{(7,1),(27,1),(29,1),(30,1),(77,1),(129,1),(154,1)}
        17:{1,3,4,5}:{(13,1),(32,1),(33,1),(47,1),(88,1),(105,1),(179,1),(194,1),(270,1),(284,1)}
        18:{1,3,6,7}:{(8,1),(34,1),(36,1),(37,1),(185,1),(200,1),(288,1)}
        19:{1,3,5,6}:{(9,1),(35,1),(37,1),(38,1),(52,1),(97,1),(98,1),(100,1),(114,1),(185,1),(200,1),(202,1),(288,1),(357,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(42,1),(106,1),(356,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(37,1),(40,1),(42,1),(51,1),(107,1),(113,1),(182,1),(186,1),(262,1),(337,1),(393,1)}
        22:{2,4,6}:{(9,1),(12,1),(38,1),(41,1),(42,1),(43,1),(287,1),(402,1)}
        23:{1,5,7}:{(10,1),(40,1),(45,1),(401,1)}
        24:{1,4,5}:{(12,1),(41,1),(47,1),(187,1),(401,1)}
        25:{1,4,7}:{(11,1),(12,1),(42,1)}
        26:{1,3,4,6}:{(12,1),(13,1),(15,1),(43,1),(47,1),(48,1),(49,1),(112,1)}
        27:{2,4}:{(13,1),(16,1),(50,1)}
        28:{1,3,7}:{(14,1),(15,1),(51,1),(337,1)}
        29:{2,3,6}:{(15,1),(16,1),(49,1),(51,1),(52,1),(172,1)}
        30:{1,3,5}:{(16,1),(50,1),(52,1),(53,1),(114,1),(117,1)}
        31:{1,4,5,6}:{(24,1),(54,1),(57,1),(58,1),(75,1),(208,1),(214,1),(310,1),(319,1),(375,1)}
        32:{1,3,4,6}:{(17,1),(58,1),(59,1),(60,1),(123,1),(128,1),(214,1),(302,1)}
        33:{2,4,5}:{(17,1),(27,1),(55,1),(60,1),(61,1),(77,1),(129,1),(220,1),(307,1)}
        34:{1,2,6,7}:{(18,1),(62,1),(232,1),(245,1),(294,1),(303,1)}
        35:{1,2,5,6}:{(19,1),(62,1),(63,1),(82,1),(142,1),(157,1),(208,1),(217,1),(232,1),(245,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(64,1),(66,1),(140,1),(325,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(62,1),(64,1),(66,1),(81,1),(137,1),(156,1)}
        38:{1,4,6}:{(19,1),(22,1),(65,1),(66,1),(247,1)}
        39:{3,4,6,7}:{(20,1),(68,1),(72,1),(146,1),(149,1),(368,1),(382,1),(411,1)}
        40:{2,5,7}:{(20,1),(23,1),(64,1),(68,1),(69,1),(383,1)}
        41:{2,4,5}:{(22,1),(24,1),(65,1),(71,1),(77,1),(142,1),(383,1),(415,1)}
        42:{2,4,7}:{(21,1),(22,1),(25,1),(66,1),(72,1),(411,1)}
        43:{3,4,6}:{(22,1),(71,1),(72,1),(149,1),(302,1),(322,1)}
        44:{2,3,4}:{(27,1),(55,1),(74,1),(154,1),(220,1),(322,1)}
        45:{1,5,6}:{(23,1),(69,1),(75,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(25,1),(70,1),(75,1),(76,1),(233,1)}
        47:{1,3,5}:{(24,1),(26,1),(71,1),(77,1)}
        48:{1,3,4,7}:{(25,1),(26,1),(28,1),(72,1),(76,1),(78,1)}
        49:{2,4,6}:{(26,1),(27,1),(29,1),(77,1),(78,1),(79,1),(155,1)}
        50:{1,4}:{(27,1),(30,1)}
        51:{2,3,7}:{(28,1),(29,1),(78,1),(81,1),(218,1)}
        52:{1,3,6}:{(29,1),(30,1),(79,1),(81,1),(82,1)}
        53:{1,2,5}:{(30,1),(80,1),(82,1),(129,1)}
        54:{2,4,5,6}:{(31,1),(41,1),(83,1),(85,1),(86,1),(91,1),(106,1),(163,1),(167,1),(191,1),(260,1),(281,1),(341,1),(353,1),(397,1),(402,1)}
        55:{2,3,5}:{(33,1),(44,1),(87,1),(88,1),(284,1)}
        56:{1,5,6,7}:{(45,1),(84,1),(89,1),(335,1),(398,1)}
        57:{1,4,5,7}:{(31,1),(85,1),(89,1),(90,1),(252,1),(259,1),(335,1)}
        58:{1,3,5,6}:{(31,1),(32,1),(47,1),(86,1),(90,1),(91,1),(112,1),(270,1),(345,1)}
        59:{1,3,4,7}:{(32,1),(90,1),(92,1),(166,1),(171,1),(259,1),(337,1)}
        60:{2,4,6}:{(32,1),(33,1),(87,1),(91,1),(92,1),(93,1),(172,1)}
        61:{1,4,5}:{(33,1),(50,1),(88,1),(93,1),(114,1),(256,1),(334,1)}
        62:{1,2,5,7}:{(34,1),(35,1),(37,1),(96,1),(118,1),(186,1),(252,1),(262,1)}
        63:{1,2,4,6}:{(35,1),(38,1),(95,1),(96,1),(97,1),(102,1),(250,1),(260,1),(327,1)}
        64:{1,5,7}:{(36,1),(40,1),(98,1),(357,1)}
        65:{1,4,5}:{(38,1),(41,1),(100,1),(114,1),(357,1)}
        66:{1,4,7}:{(37,1),(38,1),(42,1)}
        67:{1,3,4,6}:{(38,1),(43,1),(97,1),(100,1),(101,1),(102,1),(180,1),(185,1)}
        68:{3,5,7}:{(39,1),(40,1),(103,1),(104,1),(403,1)}
        69:{2,5,6}:{(40,1),(45,1),(98,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(99,1),(104,1),(106,1),(107,1),(113,1),(186,1)}
        71:{3,5}:{(41,1),(43,1)}
        72:{3,4,7}:{(42,1),(43,1),(107,1),(337,1)}
        73:{2,3,4,6}:{(43,1),(44,1),(49,1),(87,1),(102,1),(108,1),(109,1),(110,1),(167,1),(195,1),(199,1),(248,1),(265,1),(271,1),(287,1),(338,1),(356,1),(387,1)}
        74:{1,3,4}:{(44,1),(50,1),(88,1),(111,1),(117,1),(190,1),(256,1)}
        75:{1,4,6}:{(45,1),(46,1),(106,1),(112,1),(277,1)}
        76:{1,3,5,7}:{(46,1),(47,1),(48,1),(107,1),(112,1),(113,1)}
        77:{2,5}:{(47,1),(49,1),(114,1)}
        78:{2,4,7}:{(48,1),(49,1),(51,1),(113,1),(115,1)}
        79:{1,4,6}:{(49,1),(50,1),(52,1),(114,1),(115,1),(200,1)}
        80:{1,2,4}:{(50,1),(53,1),(111,1),(117,1)}
        81:{1,3,7}:{(51,1),(52,1),(115,1),(118,1)}
        82:{1,2,6}:{(52,1),(53,1),(118,1),(172,1)}
        83:{1,4,5,6}:{(54,1),(65,1),(120,1),(121,1),(132,1),(140,1),(214,1),(319,1),(365,1),(410,1)}
        84:{2,5,6,7}:{(56,1),(69,1),(119,1),(122,1),(124,1),(299,1),(367,1),(414,1)}
        85:{2,4,5,7}:{(54,1),(57,1),(120,1),(124,1),(125,1),(131,1),(207,1),(211,1),(213,1),(299,1),(301,1),(367,1),(411,1)}
        86:{3,5,6}:{(54,1),(71,1),(123,1),(125,1),(149,1),(302,1),(370,1),(413,1)}
        87:{2,3,6}:{(55,1),(60,1),(127,1),(128,1),(302,1)}
        88:{1,3,5}:{(55,1),(61,1),(74,1),(128,1),(129,1)}
        89:{1,4,6,7}:{(56,1),(57,1),(75,1),(124,1),(130,1),(294,1),(375,1)}
        90:{1,3,5,7}:{(57,1),(58,1),(59,1),(125,1),(130,1),(131,1)}
        91:{2,5,6}:{(58,1),(60,1),(77,1),(131,1),(132,1),(155,1),(307,1),(373,1)}
        92:{2,4,7}:{(59,1),(60,1),(127,1),(131,1),(133,1),(218,1)}
        93:{1,4,6}:{(60,1),(61,1),(128,1),(132,1),(133,1)}
        94:{1,2,4,5}:{(61,1),(80,1),(129,1),(134,1),(135,1),(157,1),(220,1),(240,1),(247,1),(307,1),(310,1)}
        95:{1,2,4,5}:{(63,1),(65,1),(136,1),(142,1),(157,1),(226,1),(231,1),(240,1),(247,1),(314,1),(376,1)}
        96:{1,2,4,7}:{(62,1),(63,1),(66,1),(137,1),(143,1),(292,1),(301,1),(359,1)}
        97:{1,3,6}:{(63,1),(136,1),(137,1),(138,1),(302,1)}
        98:{1,5,6}:{(64,1),(69,1),(140,1)}
        99:{1,4,5,7}:{(64,1),(65,1),(66,1),(70,1),(140,1),(141,1),(156,1)}
       100:{1,3,5}:{(65,1),(67,1),(71,1),(142,1)}
       101:{1,3,4,7}:{(66,1),(67,1),(72,1),(137,1),(141,1),(143,1)}
       102:{2,4,6}:{(67,1),(138,1),(142,1),(143,1),(144,1),(226,1),(232,1)}
       103:{3,5,6}:{(68,1),(69,1),(146,1),(149,1)}
       104:{4,5,7}:{(68,1),(146,1),(411,1),(415,1)}
       105:{3,4,5}:{(71,1),(123,1),(148,1),(322,1),(370,1),(415,1)}
       106:{2,4,6}:{(69,1),(70,1),(75,1),(140,1),(146,1),(149,1),(155,1),(232,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(149,1)}
       108:{2,3,5}:{(71,1),(73,1),(77,1),(142,1),(148,1),(151,1),(307,1),(370,1),(383,1),(407,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(78,1),(127,1),(143,1),(150,1),(152,1),(213,1),(244,1),(290,1),(306,1),(324,1),(369,1),(406,1)}
       110:{1,3,4,6}:{(73,1),(74,1),(79,1),(128,1),(144,1),(151,1),(152,1),(153,1),(159,1),(214,1),(236,1),(241,1),(247,1),(291,1),(298,1),(302,1),(312,1),(318,1),(322,1),(325,1),(380,1),(382,1),(405,1)}
       111:{2,4}:{(74,1),(129,1),(154,1)}
       112:{1,3,6}:{(75,1),(76,1),(149,1),(155,1)}
       113:{2,5,7}:{(76,1),(77,1),(78,1),(155,1),(156,1)}
       114:{1,5}:{(77,1),(79,1)}
       115:{1,4,7}:{(78,1),(79,1),(81,1),(156,1)}
       116:{1,2,4,6}:{(79,1),(80,1),(82,1),(153,1),(157,1),(158,1),(159,1),(245,1),(247,1),(325,1),(358,1),(376,1),(405,1)}
       117:{1,3}:{(80,1),(154,1)}
       118:{1,2,7}:{(81,1),(82,1),(218,1)}
       119:{1,5,6,7}:{(84,1),(98,1),(161,1),(335,1),(420,1)}
       120:{1,4,5,7}:{(83,1),(85,1),(161,1),(162,1),(175,1),(259,1),(335,1)}
       121:{1,3,5,6}:{(83,1),(86,1),(100,1),(160,1),(162,1),(163,1),(185,1),(389,1),(419,1)}
       122:{3,5,6,7}:{(84,1),(103,1),(165,1),(168,1),(257,1),(393,1),(422,1)}
       123:{3,4,6}:{(86,1),(105,1),(166,1),(167,1),(402,1)}
       124:{2,4,6,7}:{(84,1),(85,1),(89,1),(106,1),(161,1),(165,1),(168,1),(174,1),(251,1),(397,1)}
       125:{3,5,7}:{(85,1),(86,1),(166,1),(168,1),(337,1)}
       126:{2,3,5,6}:{(86,1),(87,1),(91,1),(108,1),(163,1),(167,1),(169,1),(170,1),(195,1),(248,1),(281,1)}
       127:{2,3,7}:{(87,1),(92,1),(171,1),(337,1)}
       128:{1,3,6}:{(87,1),(88,1),(93,1),(171,1),(172,1)}
       129:{2,5}:{(88,1),(111,1),(172,1)}
       130:{1,3,6,7}:{(89,1),(90,1),(112,1),(168,1),(174,1),(345,1)}
       131:{2,5,7}:{(90,1),(91,1),(92,1),(174,1),(175,1)}
       132:{1,5,6}:{(91,1),(93,1),(114,1),(175,1),(200,1),(334,1),(392,1)}
       133:{1,4,7}:{(92,1),(93,1),(171,1),(175,1)}
       134:{1,2,4,6}:{(93,1),(94,1),(172,1),(176,1),(177,1),(178,1),(260,1),(265,1),(268,1)}
       135:{1,3,5}:{(94,1),(117,1),(173,1),(178,1),(179,1),(284,1)}
       136:{1,3,5}:{(95,1),(97,1),(180,1),(181,1),(284,1),(399,1)}
       137:{1,3,7}:{(96,1),(97,1),(182,1),(337,1)}
       138:{2,3,6}:{(97,1),(102,1),(181,1),(182,1),(183,1),(327,1)}
       139:{1,3,4,5}:{(100,1),(105,1),(160,1),(180,1),(184,1),(194,1),(275,1),(284,1),(350,1),(389,1)}
       140:{1,4,6}:{(98,1),(99,1),(106,1),(185,1),(200,1)}
       141:{1,3,5,7}:{(99,1),(100,1),(101,1),(107,1),(185,1),(186,1)}
       142:{2,5}:{(100,1),(102,1),(187,1)}
       143:{2,4,7}:{(101,1),(102,1),(182,1),(186,1),(188,1)}
       144:{1,4,6}:{(102,1),(183,1),(187,1),(188,1),(272,1),(277,1)}
       145:{1,2,4}:{(111,1),(164,1),(190,1),(256,1)}
       146:{4,6}:{(103,1),(104,1)}
       147:{3,4,5,7}:{(104,1),(105,1),(107,1),(166,1),(192,1),(193,1),(257,1),(355,1),(395,1),(403,1),(421,1)}
       148:{2,4,5}:{(105,1),(108,1),(167,1),(194,1),(287,1)}
       149:{3,6}:{(106,1),(107,1)}
       150:{2,3,5,7}:{(107,1),(108,1),(109,1),(113,1),(186,1),(193,1),(195,1),(196,1),(342,1),(395,1),(418,1)}
       151:{1,3,5}:{(108,1),(110,1),(114,1),(187,1),(194,1),(197,1),(284,1),(334,1),(357,1),(401,1),(403,1),(417,1)}
       152:{1,3,4,7}:{(109,1),(110,1),(115,1),(171,1),(188,1),(196,1),(198,1),(203,1),(259,1),(280,1),(289,1),(326,1),(333,1),(337,1),(352,1),(355,1),(416,1)}
       153:{2,4,6}:{(110,1),(111,1),(172,1),(197,1),(198,1),(199,1),(285,1),(287,1),(327,1),(346,1)}
       154:{2,3}:{(111,1),(117,1),(190,1)}
       155:{2,6}:{(112,1),(113,1),(200,1)}
       156:{1,5,7}:{(113,1),(114,1),(115,1),(200,1)}
       157:{1,2,5}:{(114,1),(116,1),(197,1),(202,1),(357,1),(417,1)}
       158:{1,2,4,7}:{(115,1),(116,1),(118,1),(198,1),(201,1),(203,1),(289,1),(384,1),(416,1)}
       159:{1,3,6}:{(116,1),(117,1),(199,1),(202,1),(203,1),(399,1)}
       160:{1,3,4,6}:{(121,1),(123,1),(139,1),(204,1),(205,1),(214,1),(291,1),(302,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(206,1),(221,1),(410,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(125,1),(204,1),(206,1),(207,1)}
       163:{2,5,6}:{(121,1),(142,1),(205,1),(207,1),(208,1),(232,1),(407,1),(424,1)}
       164:{1,2,5}:{(129,1),(145,1),(209,1),(210,1)}
       165:{4,6,7}:{(122,1),(146,1),(211,1),(411,1),(425,1)}
       166:{3,4,7}:{(123,1),(125,1),(213,1),(411,1)}
       167:{2,4,6}:{(123,1),(126,1),(148,1),(213,1),(214,1)}
       168:{3,6,7}:{(124,1),(125,1),(149,1),(413,1)}
       169:{2,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(207,1),(213,1),(215,1),(216,1),(290,1),(299,1)}
       170:{1,3,5,6}:{(126,1),(128,1),(132,1),(151,1),(208,1),(214,1),(216,1),(217,1),(241,1),(291,1),(302,1),(319,1),(381,1)}
       171:{1,3,7}:{(127,1),(128,1),(133,1),(218,1)}
       172:{2,6}:{(128,1),(129,1),(218,1)}
       173:{2,3,5}:{(129,1),(135,1),(154,1),(210,1),(219,1),(220,1),(307,1)}
       174:{2,6,7}:{(130,1),(131,1),(155,1),(221,1),(373,1)}
       175:{1,5,7}:{(131,1),(132,1),(133,1),(221,1)}
       176:{1,2,5,6}:{(132,1),(134,1),(157,1),(217,1),(222,1),(223,1),(245,1),(307,1),(358,1),(373,1)}
       177:{1,2,4,7}:{(133,1),(134,1),(218,1),(222,1),(224,1),(301,1),(306,1),(309,1)}
       178:{1,3,6}:{(134,1),(135,1),(219,1),(224,1),(302,1)}
       179:{1,3,4}:{(135,1),(220,1),(247,1),(322,1)}
       180:{1,3,4}:{(136,1),(226,1),(247,1),(322,1)}
       181:{2,3,5}:{(136,1),(138,1),(142,1),(226,1),(227,1),(314,1),(377,1)}
       182:{2,3,7}:{(137,1),(138,1),(143,1),(228,1),(359,1)}
       183:{1,3,6}:{(138,1),(144,1),(227,1),(228,1),(229,1)}
       184:{2,4,5}:{(139,1),(142,1),(205,1),(226,1),(230,1),(231,1),(314,1),(379,1),(407,1)}
       185:{1,3,6}:{(140,1),(141,1),(149,1),(232,1)}
       186:{2,5,7}:{(141,1),(142,1),(143,1),(232,1),(233,1)}
       187:{1,5}:{(142,1),(144,1)}
       188:{1,4,7}:{(143,1),(144,1),(228,1),(233,1)}
       189:{1,2,4,6}:{(144,1),(145,1),(153,1),(209,1),(229,1),(234,1),(235,1),(236,1),(298,1),(313,1),(316,1),(318,1),(380,1)}
       190:{1,3}:{(145,1),(154,1)}
       191:{4,5,6}:{(146,1),(211,1),(237,1),(415,1),(425,1)}
       192:{3,4,6}:{(146,1),(147,1),(149,1),(237,1),(238,1),(413,1),(425,1)}
       193:{2,4,5,7}:{(147,1),(148,1),(150,1),(213,1),(238,1),(239,1),(299,1),(324,1),(383,1)}
       194:{1,4,5}:{(148,1),(151,1),(214,1),(240,1),(247,1),(318,1),(415,1)}
       195:{2,3,6}:{(149,1),(150,1),(155,1),(232,1),(238,1),(241,1),(373,1),(413,1),(424,1)}
       196:{1,3,5,7}:{(150,1),(151,1),(152,1),(156,1),(233,1),(239,1),(241,1),(242,1),(321,1),(366,1),(423,1)}
       197:{2,5}:{(151,1),(153,1)}
       198:{2,4,7}:{(152,1),(153,1),(218,1),(242,1),(244,1),(359,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(236,1),(243,1),(244,1),(302,1),(377,1)}
       200:{1,6}:{(155,1),(156,1)}
       201:{1,2,5,7}:{(156,1),(157,1),(158,1),(242,1),(245,1),(246,1),(423,1)}
       202:{1,3,5}:{(157,1),(159,1),(243,1),(247,1)}
       203:{1,3,7}:{(158,1),(159,1),(244,1)}
       204:{1,3,4,7}:{(160,1),(162,1),(166,1),(249,1),(259,1),(326,1),(337,1)}
       205:{2,4,6}:{(160,1),(163,1),(184,1),(248,1),(249,1),(250,1),(327,1)}
       206:{1,3,6,7}:{(161,1),(162,1),(168,1),(185,1),(251,1),(419,1)}
       207:{2,5,7}:{(162,1),(163,1),(249,1),(251,1),(252,1)}
       208:{1,5,6}:{(163,1),(187,1),(250,1),(252,1),(277,1),(417,1),(426,1)}
       209:{1,2,6}:{(164,1),(172,1),(254,1),(255,1)}
       210:{1,3,5}:{(164,1),(173,1),(190,1),(255,1),(256,1),(334,1)}
       211:{4,5,7}:{(165,1),(191,1),(257,1)}
       212:{3,4,6,7}:{(165,1),(166,1),(168,1),(192,1),(257,1),(258,1)}
       213:{2,4,7}:{(166,1),(167,1),(169,1),(259,1)}
       214:{1,4,6}:{(167,1),(170,1),(194,1),(259,1),(260,1),(402,1)}
       215:{2,3,6,7}:{(168,1),(169,1),(174,1),(195,1),(251,1),(258,1),(261,1)}
       216:{1,3,5,7}:{(169,1),(170,1),(171,1),(175,1),(252,1),(259,1),(261,1),(262,1),(326,1),(335,1),(337,1),(393,1)}
       217:{2,5,6}:{(170,1),(172,1),(197,1),(260,1),(262,1),(285,1),(327,1)}
       218:{2,7}:{(171,1),(172,1)}
       219:{2,3,6}:{(172,1),(173,1),(178,1),(255,1),(264,1),(265,1)}
       220:{2,4}:{(173,1),(179,1),(256,1)}
       221:{1,6,7}:{(174,1),(175,1),(200,1),(392,1)}
       222:{1,2,5,7}:{(175,1),(176,1),(177,1),(262,1),(266,1),(267,1),(342,1),(384,1)}
       223:{1,3,5,6}:{(176,1),(178,1),(202,1),(263,1),(267,1),(268,1),(270,1),(288,1),(345,1),(357,1),(385,1),(398,1),(417,1),(426,1)}
       224:{1,3,7}:{(177,1),(178,1),(264,1),(337,1)}
       225:{1,3,4,6}:{(178,1),(179,1),(265,1),(268,1),(269,1),(270,1),(338,1),(345,1)}
       226:{2,4}:{(180,1),(181,1),(272,1)}
       227:{1,3,5}:{(181,1),(183,1),(187,1),(272,1),(273,1),(347,1)}
       228:{1,3,7}:{(182,1),(183,1),(188,1),(274,1)}
       229:{1,2,6}:{(183,1),(273,1),(274,1),(327,1)}
       230:{2,3,5}:{(184,1),(248,1),(271,1),(275,1),(284,1)}
       231:{1,4,5}:{(184,1),(187,1),(250,1),(272,1),(275,1),(400,1),(417,1)}
       232:{2,6}:{(185,1),(186,1),(277,1)}
       233:{1,5,7}:{(186,1),(187,1),(188,1),(277,1)}
       234:{1,2,5}:{(187,1),(189,1),(197,1),(279,1),(334,1),(401,1)}
       235:{1,2,4,7}:{(188,1),(189,1),(198,1),(254,1),(274,1),(278,1),(280,1),(333,1),(352,1)}
       236:{1,3,6}:{(189,1),(190,1),(199,1),(279,1),(280,1),(347,1)}
       237:{3,5,6}:{(191,1),(192,1),(257,1),(281,1),(403,1)}
       238:{2,4,6}:{(192,1),(193,1),(195,1),(281,1),(282,1)}
       239:{1,4,5,7}:{(193,1),(194,1),(196,1),(259,1),(282,1),(283,1),(289,1),(335,1),(352,1),(357,1),(401,1)}
       240:{2,4,5}:{(194,1),(197,1),(260,1),(284,1),(287,1)}
       241:{1,3,6}:{(195,1),(196,1),(200,1),(277,1),(282,1),(285,1),(354,1),(392,1),(426,1)}
       242:{2,5,7}:{(196,1),(197,1),(198,1),(285,1)}
       243:{2,3,5}:{(197,1),(199,1),(202,1),(279,1),(284,1),(287,1)}
       244:{2,3,7}:{(198,1),(199,1),(203,1),(280,1),(337,1)}
       245:{1,2,6}:{(200,1),(201,1),(285,1),(288,1),(426,1)}
       246:{1,3,5,7}:{(201,1),(202,1),(203,1),(286,1),(288,1),(289,1),(357,1)}
       247:{1,4}:{(202,1),(287,1)}
       248:{2,3,6}:{(205,1),(230,1),(290,1),(291,1),(302,1)}
       249:{2,4,7}:{(204,1),(205,1),(207,1),(290,1),(292,1),(359,1)}
       250:{1,4,6}:{(205,1),(208,1),(231,1),(291,1),(292,1)}
       251:{2,6,7}:{(206,1),(207,1),(232,1),(294,1),(424,1)}
       252:{1,5,7}:{(207,1),(208,1),(292,1),(294,1)}
       253:{1,2,5,6}:{(208,1),(209,1),(217,1),(234,1),(293,1),(295,1),(296,1),(316,1),(407,1),(424,1)}
       254:{1,2,7}:{(209,1),(218,1),(297,1)}
       255:{1,3,6}:{(209,1),(210,1),(219,1),(297,1),(298,1)}
       256:{1,4}:{(210,1),(220,1)}
       257:{3,5,7}:{(211,1),(212,1),(237,1),(299,1)}
       258:{2,4,6,7}:{(212,1),(213,1),(215,1),(238,1),(299,1),(300,1)}
       259:{1,4,7}:{(213,1),(214,1),(216,1),(301,1),(411,1)}
       260:{2,4,6}:{(214,1),(217,1),(240,1),(301,1),(302,1)}
       261:{1,3,6,7}:{(215,1),(216,1),(221,1),(241,1),(294,1),(300,1),(303,1),(368,1)}
       262:{2,5,7}:{(216,1),(217,1),(218,1),(301,1),(303,1),(359,1)}
       263:{2,3,5,6}:{(217,1),(219,1),(223,1),(243,1),(296,1),(302,1),(304,1),(305,1),(307,1),(323,1),(360,1),(370,1),(373,1),(381,1),(383,1),(407,1),(413,1),(414,1),(424,1)}
       264:{2,3,7}:{(218,1),(219,1),(224,1),(297,1),(306,1)}
       265:{2,4,6}:{(219,1),(220,1),(225,1),(298,1),(306,1),(307,1),(373,1)}
       266:{1,2,6,7}:{(221,1),(222,1),(245,1),(303,1),(308,1),(373,1)}
       267:{1,3,5,7}:{(222,1),(223,1),(224,1),(304,1),(308,1),(309,1),(374,1),(404,1),(423,1)}
       268:{1,4,6}:{(223,1),(247,1),(305,1),(309,1),(310,1)}
       269:{1,3,4,7}:{(224,1),(225,1),(306,1),(309,1),(311,1),(369,1)}
       270:{1,3,5}:{(225,1),(307,1),(310,1),(370,1)}
       271:{2,3,4}:{(226,1),(230,1),(312,1),(322,1),(377,1),(379,1)}
       272:{1,4}:{(226,1),(227,1)}
       273:{1,2,5}:{(227,1),(229,1),(313,1),(314,1)}
       274:{1,2,7}:{(228,1),(229,1),(359,1)}
       275:{1,3,5}:{(230,1),(231,1),(291,1),(312,1),(314,1)}
       276:{1,2,4,5}:{(231,1),(234,1),(240,1),(293,1),(313,1),(314,1),(315,1),(318,1),(365,1),(379,1),(407,1)}
       277:{1,6}:{(232,1),(233,1)}
       278:{1,2,5,7}:{(233,1),(234,1),(235,1),(242,1),(316,1),(317,1),(366,1)}
       279:{1,3,5}:{(234,1),(236,1),(243,1),(318,1)}
       280:{1,3,7}:{(235,1),(236,1),(244,1)}
       281:{2,5,6}:{(237,1),(238,1),(299,1),(319,1),(383,1)}
       282:{1,4,6}:{(238,1),(239,1),(241,1),(319,1),(320,1)}
       283:{2,4,5,7}:{(239,1),(240,1),(242,1),(301,1),(320,1),(321,1),(324,1),(367,1),(383,1),(411,1),(415,1)}
       284:{3,5}:{(240,1),(302,1),(322,1)}
       285:{2,6}:{(241,1),(242,1)}
       286:{2,3,5,7}:{(242,1),(243,1),(244,1),(246,1),(317,1),(321,1),(323,1),(324,1),(383,1)}
       287:{2,4}:{(243,1),(247,1),(318,1),(322,1)}
       288:{1,3,6}:{(245,1),(246,1),(323,1),(325,1)}
       289:{1,4,7}:{(246,1),(247,1),(324,1),(325,1)}
       290:{2,3,7}:{(248,1),(249,1),(326,1),(337,1)}
       291:{1,3,6}:{(248,1),(250,1),(275,1),(326,1),(327,1)}
       292:{1,4,7}:{(249,1),(250,1),(252,1),(326,1)}
       293:{1,2,4,6}:{(250,1),(253,1),(260,1),(276,1),(327,1),(328,1),(329,1),(332,1),(387,1)}
       294:{1,6,7}:{(251,1),(252,1),(277,1),(426,1)}
       295:{1,2,5,7}:{(252,1),(253,1),(254,1),(262,1),(328,1),(330,1),(331,1),(418,1)}
       296:{1,3,5,6}:{(253,1),(255,1),(263,1),(279,1),(329,1),(331,1),(332,1),(334,1),(351,1),(389,1),(392,1),(401,1),(419,1),(420,1)}
       297:{1,3,7}:{(254,1),(255,1),(264,1),(333,1)}
       298:{1,4,6}:{(255,1),(256,1),(265,1),(333,1),(334,1),(392,1)}
       299:{2,5,7}:{(257,1),(258,1),(281,1),(335,1)}
       300:{1,4,6,7}:{(258,1),(259,1),(261,1),(282,1),(335,1),(336,1)}
       301:{2,4,7}:{(259,1),(260,1),(262,1),(337,1)}
       302:{3,6}:{(260,1),(284,1),(337,1)}
       303:{2,6,7}:{(261,1),(262,1),(285,1)}
       304:{2,3,5,7}:{(262,1),(263,1),(264,1),(267,1),(331,1),(337,1),(339,1),(340,1),(342,1),(386,1),(393,1),(395,1),(396,1),(418,1)}
       305:{2,4,6}:{(263,1),(268,1),(287,1),(332,1),(338,1),(340,1),(341,1),(402,1)}
       306:{2,4,7}:{(264,1),(265,1),(269,1),(333,1),(342,1)}
       307:{2,5}:{(265,1),(270,1),(334,1)}
       308:{1,3,6,7}:{(266,1),(267,1),(288,1),(339,1),(343,1),(345,1),(426,1)}
       309:{1,4,7}:{(267,1),(268,1),(340,1)}
       310:{1,4,5}:{(268,1),(270,1),(341,1),(357,1),(417,1)}
       311:{1,3,5,7}:{(269,1),(270,1),(342,1),(344,1),(345,1),(395,1)}
       312:{1,3,4}:{(271,1),(272,1),(275,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(272,1),(273,1),(346,1),(347,1)}
       314:{2,5}:{(275,1),(327,1),(346,1)}
       315:{1,3,5}:{(276,1),(284,1),(329,1),(347,1),(349,1),(350,1)}
       316:{1,2,6}:{(277,1),(278,1),(285,1),(351,1),(392,1)}
       317:{1,3,5,7}:{(278,1),(279,1),(280,1),(286,1),(351,1),(352,1),(401,1)}
       318:{1,4}:{(279,1),(287,1)}
       319:{1,5,6}:{(281,1),(282,1),(335,1),(353,1),(357,1),(401,1)}
       320:{2,4,6}:{(282,1),(283,1),(285,1),(353,1),(354,1),(402,1)}
       321:{3,5,7}:{(283,1),(284,1),(337,1),(354,1),(355,1),(403,1)}
       322:{3,4}:{(284,1),(287,1)}
       323:{2,3,6}:{(285,1),(286,1),(288,1),(351,1),(354,1),(356,1)}
       324:{2,4,7}:{(286,1),(287,1),(289,1),(352,1),(355,1),(356,1)}
       325:{1,4,6}:{(288,1),(289,1),(356,1),(357,1)}
       326:{1,3,7}:{(290,1),(291,1),(292,1),(359,1)}
       327:{2,6}:{(291,1),(314,1),(359,1)}
       328:{1,2,4,7}:{(292,1),(293,1),(295,1),(301,1),(359,1),(361,1),(364,1),(406,1)}
       329:{1,3,6}:{(293,1),(302,1),(315,1),(360,1),(361,1)}
       330:{1,2,6,7}:{(294,1),(295,1),(303,1),(316,1),(363,1),(424,1)}
       331:{1,3,5,7}:{(295,1),(296,1),(297,1),(304,1),(361,1),(363,1),(364,1),(366,1),(409,1)}
       332:{1,4,6}:{(296,1),(305,1),(318,1),(364,1),(365,1)}
       333:{1,4,7}:{(297,1),(298,1),(306,1),(366,1)}
       334:{1,5}:{(298,1),(307,1)}
       335:{1,5,7}:{(299,1),(300,1),(319,1),(367,1)}
       336:{2,4,6,7}:{(300,1),(301,1),(303,1),(320,1),(367,1),(368,1),(411,1)}
       337:{3,7}:{(301,1),(302,1)}
       338:{3,4,6}:{(302,1),(305,1),(322,1),(369,1),(370,1),(413,1)}
       339:{2,3,6,7}:{(303,1),(304,1),(308,1),(323,1),(363,1),(368,1),(371,1),(373,1),(413,1),(424,1)}
       340:{2,4,7}:{(304,1),(305,1),(309,1),(364,1),(369,1),(411,1)}
       341:{2,4,5}:{(305,1),(307,1),(310,1),(365,1),(370,1),(383,1),(407,1),(415,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,6,7}:{(308,1),(309,1),(325,1),(371,1),(374,1),(375,1)}
       344:{1,4,5,7}:{(309,1),(310,1),(311,1),(372,1),(374,1),(375,1),(423,1)}
       345:{1,3,6}:{(311,1),(373,1),(375,1),(413,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(360,1),(377,1),(378,1),(379,1),(407,1)}
       350:{1,3,4}:{(315,1),(318,1),(322,1),(379,1)}
       351:{1,3,6}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,4,7}:{(317,1),(318,1),(324,1),(380,1)}
       353:{2,5,6}:{(319,1),(320,1),(367,1),(381,1),(383,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(382,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(382,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(327,1),(348,1),(384,1),(385,1)}
       359:{2,7}:{(326,1),(327,1)}
       360:{2,3,6}:{(327,1),(329,1),(349,1),(385,1),(386,1),(387,1)}
       361:{1,3,7}:{(328,1),(329,1),(337,1),(386,1)}
       362:{1,3,4,6}:{(329,1),(332,1),(338,1),(350,1),(387,1),(388,1),(389,1),(419,1)}
       363:{1,3,6,7}:{(330,1),(331,1),(339,1),(351,1),(390,1),(392,1),(419,1)}
       364:{1,4,7}:{(331,1),(332,1),(340,1)}
       365:{1,4,5}:{(332,1),(334,1),(341,1),(389,1),(401,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{2,5,7}:{(335,1),(336,1),(353,1),(393,1)}
       368:{3,6,7}:{(336,1),(337,1),(354,1),(393,1)}
       369:{3,4,7}:{(337,1),(338,1),(340,1),(395,1)}
       370:{3,5}:{(338,1),(341,1)}
       371:{2,4,6,7}:{(339,1),(340,1),(343,1),(356,1),(390,1),(394,1),(396,1),(397,1)}
       372:{2,4,5,7}:{(340,1),(341,1),(342,1),(344,1),(391,1),(395,1),(396,1),(397,1),(418,1),(421,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,5,7}:{(343,1),(357,1),(396,1),(398,1)}
       375:{1,4,6}:{(344,1),(345,1),(397,1),(398,1),(426,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(385,1),(399,1),(400,1),(417,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,5,6}:{(353,1),(354,1),(393,1),(402,1),(403,1)}
       382:{3,4,6}:{(354,1),(355,1),(356,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(403,1)}
       384:{1,2,7}:{(358,1),(359,1),(404,1)}
       385:{1,3,6}:{(358,1),(360,1),(378,1),(404,1),(405,1)}
       386:{2,3,7}:{(359,1),(360,1),(361,1),(404,1),(406,1)}
       387:{2,4,6}:{(360,1),(362,1),(379,1),(405,1),(406,1),(407,1),(424,1)}
       388:{1,3,4,7}:{(361,1),(362,1),(364,1),(369,1),(406,1),(408,1)}
       389:{1,3,5}:{(362,1),(365,1),(370,1),(407,1)}
       390:{1,4,6,7}:{(363,1),(364,1),(371,1),(380,1),(409,1),(410,1)}
       391:{1,4,5,7}:{(364,1),(365,1),(366,1),(372,1),(408,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(381,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(371,1),(382,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(372,1),(413,1)}
       396:{2,5,7}:{(371,1),(374,1),(383,1),(409,1),(412,1),(414,1)}
       397:{2,4,6}:{(372,1),(373,1),(375,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{4,6}:{(381,1),(411,1),(415,1)}
       403:{3,5}:{(382,1),(383,1),(415,1)}
       404:{1,3,7}:{(384,1),(385,1),(386,1),(416,1)}
       405:{1,4,6}:{(385,1),(387,1),(400,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(386,1),(387,1),(388,1),(416,1),(418,1)}
       407:{2,5}:{(387,1),(389,1),(417,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(391,1),(395,1),(418,1),(419,1)}
       409:{1,5,7}:{(390,1),(396,1),(401,1),(420,1)}
       410:{1,4,6}:{(391,1),(392,1),(397,1),(419,1),(420,1)}
       411:{4,7}:{(393,1),(402,1)}
       412:{3,5,7}:{(394,1),(396,1),(403,1),(421,1),(422,1)}
       413:{3,6}:{(395,1),(397,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(422,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 380 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(31,1),(40,1),(41,1),(44,1),(74,1),(85,1),(93,1),(157,1),(159,1),(211,1),(223,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(120,1),(129,1),(191,1),(194,1),(242,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(53,1),(107,1),(127,1),(181,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(223,1),(225,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(78,1),(139,1),(211,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(74,1),(86,1),(158,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(83,1),(90,1),(144,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(51,1),(62,1),(115,1),(124,1),(125,1),(129,1),(177,1),(178,1),(188,1),(194,1),(242,1),(250,1),(288,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(242,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(113,1),(176,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(107,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(191,1),(200,1),(203,1),(256,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(40,1),(74,1),(79,1),(89,1),(141,1),(142,1),(159,1),(211,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(75,1),(91,1),(145,1),(146,1),(162,1),(215,1),(274,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(100,1),(141,1),(142,1),(168,1),(225,1),(268,1),(269,1),(297,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(139,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(74,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(144,1),(158,1),(162,1),(166,1),(169,1),(215,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(129,1),(194,1),(197,1),(242,1),(288,1),(307,1)}
        30:{1,3,4,6,7}:{(17,1),(50,1),(51,1),(104,1),(111,1),(177,1),(178,1),(184,1),(242,1)}
        31:{1,4,5,7}:{(16,1),(20,1),(48,1),(53,1),(65,1),(113,1),(124,1),(172,1),(177,1),(237,1)}
        32:{2,4,6}:{(16,1),(17,1),(49,1),(53,1),(54,1),(107,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(51,1),(54,1),(55,1),(119,1),(188,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(48,1),(56,1),(57,1),(63,1),(120,1),(172,1),(177,1),(202,1),(242,1),(289,1),(308,1)}
        35:{2,3,4,6}:{(18,1),(21,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(179,1),(193,1),(245,1),(246,1),(254,1),(285,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(56,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(176,1),(197,1),(201,1),(242,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(107,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(193,1)}
        48:{1,3,5,7}:{(29,1),(31,1),(34,1),(74,1),(75,1),(88,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(32,1),(75,1),(162,1),(215,1),(228,1),(302,1),(312,1)}
        50:{2,4,6,7}:{(30,1),(32,1),(73,1),(78,1),(79,1),(139,1),(141,1),(211,1)}
        51:{1,3,5,7}:{(30,1),(33,1),(79,1),(80,1),(152,1)}
        52:{1,2,4,5,7}:{(31,1),(38,1),(74,1),(81,1),(82,1),(95,1),(142,1),(150,1),(159,1),(164,1),(211,1),(213,1),(219,1),(221,1),(267,1),(313,1)}
        53:{1,4,6}:{(31,1),(32,1),(75,1),(83,1)}
        54:{2,5,6}:{(32,1),(33,1),(40,1),(79,1),(83,1),(213,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(80,1),(84,1),(91,1),(145,1),(221,1),(222,1),(274,1)}
        56:{2,4,7}:{(34,1),(74,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(39,1),(75,1),(87,1),(88,1),(94,1),(145,1),(156,1),(164,1),(170,1),(206,1),(215,1),(223,1),(225,1),(272,1),(277,1),(300,1)}
        58:{2,3,5}:{(35,1),(40,1),(88,1),(89,1),(97,1),(166,1),(213,1),(271,1),(299,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(86,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(87,1),(94,1),(95,1),(164,1),(300,1),(301,1),(304,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(139,1),(228,1),(273,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(144,1),(166,1),(222,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(215,1),(225,1)}
        73:{2,3,6,7}:{(49,1),(50,1),(104,1),(105,1),(184,1),(242,1),(248,1)}
        74:{2,5,7}:{(48,1),(56,1),(107,1),(123,1)}
        75:{1,3,6}:{(48,1),(49,1),(53,1),(107,1),(256,1),(314,1)}
        76:{2,3,5,6}:{(49,1),(54,1),(58,1),(105,1),(108,1),(109,1),(119,1),(190,1),(246,1)}
        77:{1,3,5,6,7}:{(51,1),(59,1),(110,1),(111,1),(184,1),(249,1)}
        78:{1,4,6,7}:{(50,1),(53,1),(104,1),(113,1),(177,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1),(113,1)}
        80:{1,4,5,7}:{(51,1),(55,1),(111,1),(114,1),(177,1),(251,1)}
        81:{1,3,5,7}:{(52,1),(63,1),(106,1),(115,1),(116,1),(130,1),(188,1),(194,1),(242,1),(288,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(107,1),(116,1),(117,1),(179,1),(181,1),(189,1),(287,1),(314,1)}
        83:{1,5,6}:{(53,1),(54,1),(65,1),(113,1),(237,1)}
        84:{2,4,5,6}:{(54,1),(55,1),(66,1),(109,1),(114,1),(118,1),(119,1),(127,1),(181,1),(190,1),(244,1),(287,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(172,1),(202,1),(259,1)}
        86:{2,3,7}:{(56,1),(63,1),(120,1),(122,1),(242,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(65,1),(123,1),(124,1),(194,1),(200,1),(237,1),(310,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(122,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(123,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(176,1),(197,1),(251,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(242,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(181,1),(247,1),(290,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(74,1),(85,1),(137,1),(138,1),(157,1),(229,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(78,1),(139,1),(140,1),(273,1)}
       105:{2,3,5,7}:{(73,1),(76,1),(79,1),(140,1),(141,1),(152,1),(220,1),(269,1)}
       106:{2,3,5,7}:{(74,1),(81,1),(86,1),(137,1),(142,1),(143,1),(158,1),(213,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(83,1),(88,1),(140,1),(144,1),(145,1),(215,1),(222,1),(272,1)}
       109:{2,4,6}:{(76,1),(89,1),(141,1),(145,1),(146,1)}
       110:{2,5,6,7}:{(77,1),(79,1),(90,1),(147,1),(148,1),(266,1)}
       111:{1,4,6,7}:{(77,1),(80,1),(91,1),(148,1),(273,1),(274,1)}
       112:{1,2,4,6,7}:{(78,1),(82,1),(139,1),(149,1),(150,1),(209,1),(211,1),(219,1)}
       113:{1,5,7}:{(78,1),(79,1),(83,1)}
       114:{2,4,5,7}:{(79,1),(80,1),(84,1),(141,1),(148,1),(151,1),(152,1),(211,1),(220,1)}
       115:{1,3,4,7}:{(81,1),(142,1),(153,1),(164,1),(219,1),(225,1),(268,1)}
       116:{1,3,6}:{(81,1),(82,1),(143,1),(215,1),(302,1)}
       117:{1,2,5,6}:{(82,1),(83,1),(95,1),(144,1),(150,1),(154,1),(213,1),(266,1),(301,1)}
       118:{1,4,5,6}:{(83,1),(84,1),(96,1),(145,1),(151,1),(155,1),(161,1),(263,1),(295,1)}
       119:{3,5,6}:{(84,1),(97,1),(146,1),(152,1),(162,1),(215,1),(271,1),(302,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(206,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(94,1),(156,1),(158,1),(215,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(145,1),(159,1),(164,1),(223,1)}
       125:{3,4,5}:{(89,1),(97,1),(146,1),(225,1),(271,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(158,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(159,1),(164,1),(165,1),(166,1),(227,1),(230,1),(278,1),(304,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(211,1),(270,1),(303,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(215,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(106,1),(120,1),(172,1),(173,1),(191,1),(237,1)}
       138:{1,2,6}:{(103,1),(107,1),(173,1),(256,1)}
       139:{2,6,7}:{(104,1),(107,1),(176,1)}
       140:{1,3,5,7}:{(104,1),(105,1),(108,1),(113,1),(176,1),(177,1),(242,1),(251,1),(289,1)}
       141:{2,4,7}:{(105,1),(109,1),(177,1),(178,1)}
       142:{2,4,7}:{(106,1),(115,1),(172,1),(179,1),(193,1)}
       143:{2,3,6}:{(106,1),(107,1),(116,1),(173,1),(179,1)}
       144:{2,5,6}:{(107,1),(108,1),(123,1),(176,1),(181,1),(290,1)}
       145:{1,4,6}:{(108,1),(109,1),(124,1),(177,1),(181,1)}
       146:{3,4,6}:{(109,1),(119,1),(125,1),(178,1)}
       147:{1,5,6,7}:{(110,1),(113,1),(126,1),(183,1),(280,1)}
       148:{2,4,6,7}:{(110,1),(111,1),(114,1),(127,1),(183,1),(184,1),(248,1),(287,1)}
       149:{1,3,6,7}:{(112,1),(116,1),(175,1),(186,1),(242,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(117,1),(176,1),(186,1),(240,1),(309,1)}
       151:{1,4,5,7}:{(113,1),(114,1),(118,1),(177,1),(183,1),(187,1)}
       152:{3,5,7}:{(114,1),(119,1),(178,1),(184,1),(242,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(179,1),(188,1),(189,1),(245,1)}
       154:{1,3,5,6}:{(116,1),(117,1),(130,1),(180,1),(186,1),(188,1),(189,1),(286,1),(310,1),(314,1)}
       155:{1,3,5,6}:{(118,1),(119,1),(132,1),(182,1),(187,1),(190,1),(196,1),(284,1),(306,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(237,1)}
       158:{2,3,5}:{(122,1),(123,1),(130,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(181,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(132,1),(182,1),(194,1),(195,1),(198,1),(252,1),(255,1),(284,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(193,1)}
       165:{1,3,5}:{(131,1),(135,1),(194,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(242,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(290,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(139,1),(204,1),(205,1),(273,1),(312,1)}
       172:{1,4,7}:{(137,1),(142,1),(206,1),(223,1)}
       173:{1,3,6}:{(137,1),(138,1),(143,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(144,1),(157,1),(205,1),(207,1),(208,1),(222,1),(299,1),(312,1)}
       175:{2,3,6,7}:{(139,1),(143,1),(149,1),(204,1),(209,1),(210,1),(302,1),(312,1)}
       176:{2,5,7}:{(139,1),(140,1),(144,1),(211,1),(303,1)}
       177:{1,4,7}:{(140,1),(141,1),(145,1),(211,1)}
       178:{3,4,7}:{(141,1),(146,1),(152,1)}
       179:{2,4,6}:{(142,1),(143,1),(153,1),(206,1),(213,1)}
       180:{2,3,5,6}:{(143,1),(144,1),(154,1),(158,1),(207,1),(210,1),(213,1),(214,1),(215,1),(265,1),(266,1),(271,1),(299,1),(302,1),(312,1)}
       181:{2,4,6}:{(144,1),(145,1),(159,1),(211,1),(215,1)}
       182:{1,3,4,6}:{(145,1),(146,1),(155,1),(160,1),(212,1),(215,1),(216,1),(272,1)}
       183:{1,4,6,7}:{(147,1),(148,1),(151,1),(161,1),(217,1),(295,1)}
       184:{3,6,7}:{(148,1),(152,1),(162,1),(302,1)}
       185:{1,3,4,6,7}:{(149,1),(153,1),(209,1),(218,1),(219,1),(268,1),(274,1),(302,1)}
       186:{1,3,5,7}:{(149,1),(150,1),(154,1),(210,1),(219,1),(298,1),(313,1)}
       187:{1,3,5,7}:{(151,1),(152,1),(155,1),(212,1),(217,1),(220,1)}
       188:{1,3,5}:{(153,1),(213,1),(221,1),(271,1)}
       189:{1,4,6}:{(154,1),(164,1),(214,1),(219,1),(221,1)}
       190:{2,5,6}:{(155,1),(166,1),(216,1),(220,1),(222,1),(228,1),(299,1),(312,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(263,1),(275,1),(278,1),(279,1),(299,1)}
       193:{2,4}:{(158,1),(164,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(215,1),(225,1)}
       195:{2,4,5}:{(160,1),(166,1),(216,1),(226,1),(227,1),(230,1),(275,1),(278,1),(299,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(225,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(278,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(175,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(176,1),(235,1),(236,1),(251,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(179,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(180,1),(191,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(181,1),(192,1),(236,1),(238,1),(239,1),(247,1),(285,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(179,1),(185,1),(234,1),(240,1),(241,1),(287,1)}
       210:{2,3,5,7}:{(175,1),(176,1),(180,1),(186,1),(235,1),(240,1),(241,1),(242,1),(283,1),(288,1),(307,1)}
       211:{2,4,7}:{(176,1),(177,1),(181,1),(242,1)}
       212:{1,3,4,7}:{(177,1),(178,1),(182,1),(187,1),(242,1),(243,1),(289,1)}
       213:{2,5}:{(179,1),(188,1),(237,1)}
       214:{2,4,6}:{(180,1),(189,1),(193,1),(238,1),(241,1),(244,1),(245,1)}
       215:{3,6}:{(181,1),(194,1),(242,1)}
       216:{2,4,6}:{(182,1),(190,1),(195,1),(243,1),(246,1),(247,1),(290,1)}
       217:{1,3,6,7}:{(183,1),(184,1),(187,1),(196,1),(248,1),(306,1)}
       218:{1,3,5,7}:{(185,1),(188,1),(240,1),(249,1),(250,1),(288,1)}
       219:{1,4,7}:{(186,1),(189,1),(241,1)}
       220:{2,5,7}:{(187,1),(190,1),(243,1),(248,1),(251,1)}
       221:{1,4,5}:{(188,1),(189,1),(244,1),(310,1)}
       222:{1,5,6}:{(190,1),(200,1),(247,1),(251,1),(256,1),(310,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(246,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(257,1),(291,1),(310,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(209,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(210,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(211,1),(261,1),(262,1),(270,1),(297,1),(303,1)}
       237:{1,5}:{(206,1),(213,1)}
       238:{1,4,6}:{(207,1),(214,1),(223,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(215,1),(224,1),(262,1),(265,1)}
       240:{2,5,7}:{(209,1),(213,1),(218,1),(260,1),(266,1)}
       241:{2,4,7}:{(210,1),(214,1),(219,1),(261,1),(268,1)}
       242:{3,7}:{(211,1),(215,1)}
       243:{2,4,7}:{(212,1),(216,1),(220,1),(269,1),(270,1),(303,1)}
       244:{2,4,5}:{(213,1),(214,1),(221,1),(263,1),(271,1),(299,1)}
       245:{3,4,6}:{(214,1),(215,1),(225,1),(268,1),(271,1),(302,1)}
       246:{2,3,6}:{(215,1),(216,1),(226,1),(269,1),(272,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(270,1),(272,1)}
       248:{2,6,7}:{(217,1),(220,1),(228,1),(273,1),(312,1)}
       249:{1,3,5,6}:{(218,1),(266,1),(274,1),(302,1)}
       250:{1,4,5,7}:{(218,1),(219,1),(221,1),(267,1),(274,1),(313,1)}
       251:{1,5,7}:{(220,1),(222,1),(270,1),(273,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(299,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(230,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(272,1),(277,1),(278,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(278,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(237,1),(240,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(241,1)}
       262:{1,3,7}:{(236,1),(239,1),(242,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(244,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(245,1),(252,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(253,1),(283,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(249,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(244,1),(250,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       269:{2,3,7}:{(242,1),(243,1),(246,1),(289,1)}
       270:{1,4,7}:{(243,1),(247,1),(251,1),(289,1)}
       271:{3,5}:{(244,1),(245,1)}
       272:{1,3,6}:{(246,1),(247,1),(255,1),(289,1),(290,1)}
       273:{1,6,7}:{(248,1),(251,1),(256,1),(314,1)}
       274:{1,4,6}:{(249,1),(250,1),(287,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(257,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(267,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(268,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(303,1)}
       284:{1,3,5}:{(263,1),(264,1),(271,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(275,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(276,1),(298,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(274,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(271,1),(302,1)}
       289:{1,3,7}:{(269,1),(270,1),(272,1),(303,1)}
       290:{2,6}:{(272,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(288,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(291,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(309,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(303,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 381 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 382 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(19,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(20,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(36,1),(39,1),(44,1),(47,1),(72,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(72,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(109,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(18,1),(19,1),(20,1),(27,1),(55,1)}
        10:{1,3,5}:{(4,1),(19,1),(22,1),(53,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(20,1),(23,1),(29,1),(56,1),(64,1),(93,1),(175,1)}
        12:{1,3,6}:{(5,1),(18,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(19,1),(25,1),(27,1),(53,1),(90,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(20,1),(26,1),(93,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(128,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(55,1)}
        18:{1,4,6}:{(9,1),(12,1),(31,1),(32,1),(42,1),(71,1)}
        19:{2,5}:{(9,1),(10,1),(31,1)}
        20:{2,4,7}:{(9,1),(11,1),(14,1),(32,1),(35,1),(180,1)}
        21:{1,3,5,6}:{(10,1),(33,1),(36,1),(37,1),(39,1),(72,1),(78,1),(115,1)}
        22:{1,4,5}:{(10,1),(15,1),(34,1),(36,1),(109,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(35,1),(38,1),(39,1),(75,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(31,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(32,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(35,1),(43,1),(45,1),(46,1),(75,1),(86,1),(110,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(143,1)}
        31:{1,5}:{(18,1),(19,1)}
        32:{1,4,7}:{(18,1),(20,1),(26,1),(50,1),(185,1)}
        33:{2,5,6}:{(19,1),(21,1),(48,1),(51,1),(52,1),(55,1)}
        34:{2,4,5}:{(19,1),(22,1),(27,1),(49,1),(51,1),(53,1),(90,1)}
        35:{2,5,7}:{(19,1),(20,1),(23,1),(50,1),(55,1),(176,1),(182,1)}
        36:{1,4,6}:{(21,1),(22,1),(51,1),(56,1),(124,1),(132,1)}
        37:{1,3,5,7}:{(21,1),(52,1),(56,1),(57,1),(93,1),(97,1),(131,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(54,1),(56,1),(58,1),(66,1),(97,1),(128,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(55,1),(58,1),(95,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(90,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(50,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(53,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(55,1),(63,1),(65,1),(95,1),(129,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(33,1),(67,1),(68,1),(71,1)}
        49:{1,4,5}:{(31,1),(34,1),(42,1),(67,1),(69,1)}
        50:{1,5,7}:{(31,1),(32,1),(35,1),(71,1),(181,1),(186,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(67,1),(72,1),(73,1),(106,1)}
        52:{2,5,7}:{(33,1),(37,1),(68,1),(73,1),(74,1)}
        53:{3,5}:{(34,1),(44,1),(72,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(38,1),(45,1),(70,1),(73,1),(75,1),(76,1),(86,1),(110,1),(114,1),(123,1),(146,1),(152,1),(164,1)}
        55:{2,6}:{(35,1),(39,1),(71,1)}
        56:{1,4,7}:{(36,1),(37,1),(73,1),(140,1),(146,1)}
        57:{1,3,6,7}:{(37,1),(39,1),(74,1),(77,1),(113,1),(177,1)}
        58:{1,4,6}:{(38,1),(39,1),(76,1),(78,1),(143,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(110,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(69,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(71,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(75,1),(85,1),(146,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(51,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(52,1),(88,1),(89,1)}
        69:{1,3,5}:{(49,1),(53,1),(61,1),(87,1),(90,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(54,1),(62,1),(88,1),(91,1),(92,1),(104,1),(127,1),(139,1),(155,1)}
        71:{1,6}:{(50,1),(55,1)}
        72:{3,6}:{(51,1),(53,1),(93,1)}
        73:{2,4,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(125,1)}
        74:{2,6,7}:{(52,1),(55,1),(57,1),(89,1),(182,1)}
        75:{3,5,7}:{(53,1),(54,1),(64,1),(93,1),(95,1),(105,1),(162,1),(172,1)}
        76:{2,4,6}:{(54,1),(55,1),(58,1),(92,1),(95,1),(96,1),(129,1),(132,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(58,1),(94,1),(97,1),(153,1),(171,1)}
        78:{1,5,6}:{(58,1),(66,1),(96,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(129,1)}
        82:{2,4}:{(61,1),(90,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(91,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(95,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(72,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(73,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(74,1),(186,1)}
        90:{2,5}:{(69,1),(82,1),(106,1),(109,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(75,1),(83,1),(107,1),(110,1),(111,1),(122,1)}
        92:{1,4,6}:{(70,1),(71,1),(76,1),(111,1),(112,1)}
        93:{3,7}:{(72,1),(73,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(77,1),(108,1),(113,1),(114,1),(141,1),(146,1),(164,1)}
        95:{3,6}:{(75,1),(76,1)}
        96:{2,5,6}:{(76,1),(78,1),(86,1),(112,1),(114,1),(115,1)}
        97:{1,5,7}:{(77,1),(78,1),(114,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(109,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(110,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(111,1),(118,1),(121,1),(122,1),(145,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(90,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(93,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(92,1),(94,1),(126,1),(127,1),(155,1)}
       109:{1,5}:{(90,1),(101,1),(124,1)}
       110:{2,5,7}:{(90,1),(91,1),(102,1),(125,1),(128,1),(129,1),(138,1)}
       111:{1,3,6}:{(91,1),(92,1),(95,1),(129,1)}
       112:{1,5,6}:{(92,1),(96,1),(104,1),(127,1)}
       113:{3,6,7}:{(93,1),(94,1),(95,1),(131,1),(172,1)}
       114:{2,5,7}:{(94,1),(96,1),(97,1),(127,1),(131,1)}
       115:{3,5,6}:{(95,1),(96,1),(105,1),(131,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(128,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(129,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(109,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(111,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(112,1),(114,1)}
       128:{1,5,7}:{(109,1),(110,1),(120,1),(140,1),(143,1),(151,1)}
       129:{2,6}:{(110,1),(111,1),(143,1)}
       130:{1,3,5,6}:{(111,1),(112,1),(115,1),(122,1),(142,1),(144,1),(145,1),(166,1)}
       131:{3,5,7}:{(113,1),(114,1),(115,1),(146,1)}
       132:{4,6}:{(115,1),(123,1),(146,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(143,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(145,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(129,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(130,1),(131,1),(154,1),(155,1),(172,1)}
       143:{1,6}:{(128,1),(129,1)}
       144:{2,5,6}:{(129,1),(130,1),(138,1),(154,1),(156,1),(157,1)}
       145:{1,4,6}:{(130,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       146:{4,7}:{(131,1),(132,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(143,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(144,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(145,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(143,1),(144,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(144,1),(145,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 383 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(10,1),(16,1),(174,1)}
         1:{1,3,7}:{(0,1),(5,1),(7,1),(166,1),(179,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(8,1),(9,1),(20,1),(142,1),(167,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(21,1),(31,1),(32,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(16,1),(47,1),(84,1),(124,1),(175,1)}
         5:{2,3,7}:{(1,1),(10,1),(13,1),(15,1),(124,1),(154,1),(184,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1),(114,1),(125,1),(157,1)}
         7:{1,3,6}:{(1,1),(3,1),(15,1),(18,1),(155,1)}
         8:{1,2,6}:{(2,1),(17,1),(36,1)}
         9:{1,2,5}:{(3,1),(18,1),(37,1),(50,1),(159,1)}
        10:{2,4,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(20,1),(22,1),(23,1),(24,1),(54,1),(170,1),(177,1)}
        12:{1,3,4,6}:{(4,1),(7,1),(21,1),(23,1),(24,1),(31,1),(32,1),(62,1),(69,1),(71,1),(104,1)}
        13:{1,3,7}:{(5,1),(19,1),(25,1),(27,1),(187,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(26,1),(28,1),(29,1),(30,1),(54,1),(70,1),(93,1),(105,1),(144,1)}
        15:{2,3,6}:{(5,1),(7,1),(21,1),(27,1),(30,1),(104,1),(139,1)}
        16:{1,4,7}:{(6,1),(28,1),(31,1),(32,1),(168,1)}
        17:{1,3,6}:{(6,1),(8,1),(29,1),(31,1),(133,1)}
        18:{1,3,5}:{(7,1),(9,1),(30,1),(32,1),(140,1),(146,1)}
        19:{1,4,7}:{(10,1),(13,1),(33,1),(34,1),(185,1)}
        20:{2,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(176,1),(182,1)}
        21:{2,4,6}:{(10,1),(12,1),(15,1),(34,1),(36,1),(37,1),(49,1)}
        22:{1,4,5,7}:{(11,1),(16,1),(35,1),(38,1),(41,1),(50,1),(83,1),(84,1),(114,1),(160,1),(171,1)}
        23:{1,3,6}:{(11,1),(36,1),(38,1),(77,1)}
        24:{1,3,5}:{(12,1),(37,1),(41,1),(50,1),(82,1),(92,1)}
        25:{1,2,7}:{(13,1),(43,1),(154,1),(188,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(33,1),(42,1),(44,1),(45,1),(46,1),(85,1),(90,1),(127,1)}
        27:{1,3,6}:{(13,1),(15,1),(34,1),(43,1),(46,1)}
        28:{2,4,7}:{(14,1),(16,1),(44,1),(47,1),(48,1),(49,1),(158,1)}
        29:{2,3,6}:{(14,1),(17,1),(36,1),(45,1),(48,1),(77,1),(115,1)}
        30:{2,3,5}:{(15,1),(18,1),(37,1),(46,1),(49,1),(82,1),(121,1),(128,1)}
        31:{1,4,6}:{(16,1),(17,1),(48,1),(50,1)}
        32:{1,4}:{(18,1),(49,1)}
        33:{1,5,7}:{(19,1),(20,1),(52,1),(53,1),(181,1),(186,1)}
        34:{1,4,6}:{(19,1),(21,1),(27,1),(52,1),(53,1),(68,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(28,1),(51,1),(54,1),(55,1),(58,1),(70,1),(93,1),(102,1),(103,1),(113,1),(141,1),(148,1),(164,1)}
        36:{2,6}:{(20,1),(23,1),(52,1)}
        37:{2,5}:{(21,1),(24,1),(53,1)}
        38:{1,4,6}:{(22,1),(23,1),(55,1),(60,1),(133,1)}
        39:{1,3,6,7}:{(23,1),(56,1),(59,1),(61,1),(100,1),(177,1)}
        40:{1,3,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1),(62,1),(101,1),(104,1)}
        41:{1,4,5}:{(24,1),(32,1),(58,1),(62,1),(113,1),(140,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(63,1),(64,1),(65,1),(93,1),(107,1)}
        43:{1,2,6}:{(25,1),(27,1),(65,1),(139,1)}
        44:{1,4,7}:{(26,1),(28,1),(67,1),(68,1),(145,1)}
        45:{1,3,6}:{(26,1),(29,1),(52,1),(64,1),(67,1)}
        46:{1,3,5}:{(27,1),(30,1),(53,1),(65,1),(68,1),(108,1)}
        47:{3,4,7}:{(28,1),(54,1),(69,1),(71,1),(141,1),(169,1)}
        48:{2,4,6}:{(28,1),(29,1),(31,1),(67,1),(69,1),(70,1)}
        49:{2,4}:{(30,1),(32,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(76,1),(90,1),(118,1),(119,1),(131,1),(153,1)}
        52:{1,6}:{(33,1),(36,1)}
        53:{1,5}:{(34,1),(37,1)}
        54:{3,5,7}:{(35,1),(47,1),(77,1),(82,1),(92,1),(124,1),(161,1),(173,1)}
        55:{2,4,6}:{(35,1),(36,1),(38,1),(73,1),(77,1),(79,1),(115,1),(123,1)}
        56:{2,6,7}:{(36,1),(39,1),(74,1),(80,1),(182,1)}
        57:{2,5,6}:{(36,1),(37,1),(40,1),(75,1),(80,1),(81,1)}
        58:{2,4,5}:{(37,1),(41,1),(49,1),(76,1),(81,1),(82,1),(121,1)}
        59:{1,4,6,7}:{(38,1),(39,1),(78,1),(83,1),(84,1),(149,1),(171,1)}
        60:{1,5,6}:{(38,1),(50,1),(79,1),(83,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(80,1),(83,1),(84,1),(122,1),(124,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(84,1),(123,1),(155,1)}
        63:{1,2,4,7}:{(42,1),(44,1),(85,1),(86,1),(87,1),(88,1)}
        64:{1,2,6}:{(42,1),(45,1),(115,1)}
        65:{1,2,5}:{(43,1),(46,1),(87,1),(121,1)}
        66:{1,3,4,7}:{(44,1),(47,1),(72,1),(85,1),(88,1),(89,1),(91,1),(153,1),(173,1)}
        67:{1,4,6}:{(44,1),(45,1),(48,1),(90,1)}
        68:{1,4}:{(46,1),(49,1)}
        69:{3,4,6}:{(47,1),(48,1),(77,1),(92,1),(123,1)}
        70:{2,5}:{(48,1),(50,1),(90,1),(92,1)}
        71:{3,4}:{(49,1),(82,1)}
        72:{1,3,5,7}:{(51,1),(54,1),(66,1),(93,1),(94,1),(99,1),(111,1),(138,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1),(94,1),(96,1)}
        74:{1,6,7}:{(52,1),(56,1),(97,1),(186,1)}
        75:{1,5,6}:{(52,1),(53,1),(57,1),(97,1),(98,1)}
        76:{1,4,5}:{(53,1),(58,1),(68,1),(98,1),(99,1)}
        77:{3,6}:{(54,1),(55,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(59,1),(95,1),(100,1),(102,1),(103,1),(134,1),(141,1),(164,1)}
        79:{2,5,6}:{(55,1),(60,1),(70,1),(96,1),(101,1),(102,1)}
        80:{2,5,7}:{(56,1),(57,1),(61,1),(97,1),(103,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(103,1),(104,1),(139,1)}
        82:{3,5}:{(58,1),(71,1),(104,1)}
        83:{1,5,7}:{(59,1),(60,1),(102,1)}
        84:{1,4,7}:{(61,1),(62,1),(103,1),(141,1),(166,1)}
        85:{1,3,7}:{(63,1),(105,1),(106,1),(108,1),(186,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(67,1),(106,1),(107,1),(110,1),(145,1)}
        87:{1,2,4}:{(65,1),(68,1),(108,1),(112,1)}
        88:{2,4,7}:{(66,1),(93,1),(105,1),(109,1),(110,1),(112,1)}
        89:{1,3,4,6}:{(66,1),(67,1),(69,1),(94,1),(106,1),(110,1),(111,1),(137,1),(145,1),(165,1),(169,1)}
        90:{1,5}:{(67,1),(70,1)}
        91:{1,3,4}:{(68,1),(71,1),(99,1),(108,1),(112,1)}
        92:{3,5}:{(69,1),(70,1),(113,1)}
        93:{2,5,7}:{(72,1),(88,1),(114,1),(115,1),(121,1),(130,1),(154,1)}
        94:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
        95:{1,4,6,7}:{(73,1),(74,1),(78,1),(116,1),(118,1),(119,1),(153,1)}
        96:{1,5,6}:{(73,1),(79,1),(90,1),(118,1)}
        97:{1,5,7}:{(74,1),(75,1),(80,1),(119,1)}
        98:{1,4,6}:{(75,1),(76,1),(81,1),(119,1),(120,1)}
        99:{1,3,5}:{(76,1),(82,1),(91,1),(120,1),(121,1)}
       100:{3,6,7}:{(77,1),(78,1),(122,1),(124,1),(173,1)}
       101:{3,5,6}:{(77,1),(79,1),(92,1),(122,1),(123,1)}
       102:{2,5,7}:{(78,1),(79,1),(83,1),(118,1),(122,1)}
       103:{2,4,7}:{(80,1),(81,1),(84,1),(119,1),(124,1),(154,1)}
       104:{3,6}:{(81,1),(82,1),(124,1)}
       105:{2,3,7}:{(85,1),(88,1),(125,1),(126,1),(128,1),(173,1),(182,1)}
       106:{1,3,6}:{(85,1),(86,1),(126,1),(127,1),(183,1)}
       107:{1,2,5}:{(86,1),(90,1),(127,1),(130,1),(188,1)}
       108:{1,3}:{(87,1),(128,1)}
       109:{1,4,7}:{(88,1),(114,1),(125,1),(129,1),(132,1)}
       110:{2,4,6}:{(88,1),(89,1),(115,1),(126,1),(129,1),(130,1),(158,1)}
       111:{1,3,5}:{(89,1),(90,1),(92,1),(130,1),(131,1),(161,1)}
       112:{2,4}:{(91,1),(121,1),(128,1),(132,1)}
       113:{4,5}:{(92,1),(123,1)}
       114:{1,5,7}:{(93,1),(109,1),(133,1),(140,1),(147,1),(166,1)}
       115:{2,6}:{(93,1),(94,1),(133,1)}
       116:{1,3,6,7}:{(94,1),(95,1),(100,1),(134,1),(136,1),(138,1)}
       117:{1,3,5,6}:{(94,1),(96,1),(101,1),(111,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,5,7}:{(95,1),(96,1),(102,1)}
       119:{1,4,7}:{(97,1),(98,1),(103,1),(138,1)}
       120:{1,3,6}:{(98,1),(99,1),(104,1),(138,1),(139,1)}
       121:{2,5}:{(99,1),(112,1),(139,1),(140,1)}
       122:{3,5,7}:{(100,1),(101,1),(102,1),(141,1)}
       123:{4,6}:{(101,1),(113,1),(141,1)}
       124:{3,7}:{(103,1),(104,1)}
       125:{1,3,7}:{(105,1),(109,1),(142,1),(143,1),(146,1)}
       126:{2,3,6}:{(105,1),(106,1),(110,1),(143,1),(144,1),(165,1),(178,1)}
       127:{1,3,5}:{(106,1),(107,1),(144,1),(145,1),(181,1),(187,1)}
       128:{2,3}:{(108,1),(112,1),(146,1)}
       129:{1,4,6}:{(109,1),(110,1),(133,1),(143,1),(147,1),(168,1)}
       130:{2,5}:{(110,1),(111,1),(147,1)}
       131:{1,4,5}:{(111,1),(113,1),(137,1),(145,1),(148,1),(181,1)}
       132:{1,4}:{(112,1),(140,1),(146,1)}
       133:{1,6}:{(114,1),(115,1)}
       134:{2,6,7}:{(115,1),(116,1),(149,1),(151,1),(154,1)}
       135:{2,5,6}:{(115,1),(117,1),(130,1),(150,1),(151,1),(152,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(151,1),(153,1),(173,1)}
       137:{1,4,6}:{(117,1),(123,1),(131,1),(152,1),(153,1),(183,1)}
       138:{1,3,7}:{(119,1),(120,1),(124,1),(154,1)}
       139:{2,6}:{(120,1),(121,1),(154,1),(155,1)}
       140:{1,5}:{(121,1),(132,1),(155,1)}
       141:{4,7}:{(122,1),(123,1)}
       142:{1,2,7}:{(125,1),(156,1),(159,1),(182,1)}
       143:{1,3,6}:{(125,1),(126,1),(129,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(130,1),(157,1),(158,1),(161,1),(176,1),(184,1)}
       145:{1,4}:{(127,1),(158,1)}
       146:{1,3}:{(128,1),(132,1),(159,1)}
       147:{1,5}:{(129,1),(130,1)}
       148:{2,4,5}:{(130,1),(131,1),(152,1),(158,1),(160,1),(161,1),(176,1)}
       149:{1,6,7}:{(133,1),(134,1),(162,1),(166,1)}
       150:{1,5,6}:{(133,1),(135,1),(147,1),(162,1),(163,1)}
       151:{2,5,7}:{(134,1),(135,1),(136,1),(162,1),(164,1)}
       152:{2,4,6}:{(135,1),(137,1),(148,1),(163,1),(164,1),(165,1),(178,1)}
       153:{1,4,7}:{(136,1),(137,1),(141,1),(164,1),(186,1)}
       154:{2,7}:{(138,1),(139,1),(166,1)}
       155:{1,6}:{(139,1),(140,1),(166,1)}
       156:{1,2,6}:{(142,1),(143,1),(167,1),(178,1)}
       157:{1,3,5}:{(143,1),(144,1),(147,1),(167,1),(168,1),(179,1)}
       158:{2,4}:{(144,1),(145,1),(168,1),(169,1)}
       159:{1,2}:{(146,1)}
       160:{1,4,5}:{(147,1),(148,1),(163,1),(168,1),(170,1)}
       161:{3,5}:{(148,1),(165,1),(169,1)}
       162:{1,5,7}:{(149,1),(150,1),(151,1),(171,1)}
       163:{1,4,6}:{(150,1),(152,1),(160,1),(171,1),(172,1)}
       164:{2,4,7}:{(151,1),(152,1),(153,1),(171,1),(173,1),(182,1)}
       165:{3,6}:{(152,1),(161,1),(173,1)}
       166:{1,7}:{(154,1),(155,1)}
       167:{1,2,5}:{(156,1),(157,1),(174,1),(176,1)}
       168:{1,4}:{(157,1),(158,1)}
       169:{3,4}:{(158,1),(161,1)}
       170:{1,3,5}:{(160,1),(161,1),(172,1),(175,1),(176,1)}
       171:{1,4,7}:{(162,1),(163,1),(164,1),(177,1)}
       172:{1,3,6}:{(163,1),(165,1),(170,1),(177,1),(178,1)}
       173:{3,7}:{(164,1),(165,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(172,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 384 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(27,1)}
        1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,4}:{(0,1),(5,1),(31,1),(36,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(53,1)}
        4:{1,5}:{(1,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(11,1),(23,1)}
        6:{2,6}:{(1,1),(3,1),(10,1),(13,1),(54,1)}
        7:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(30,1),(39,1),(50,1)}
        8:{1,3,7}:{(3,1),(13,1),(15,1),(28,1)}
        9:{1,4}:{(4,1),(5,1),(16,1)}
       10:{1,6}:{(4,1),(6,1),(18,1),(55,1)}
       11:{3}:{(5,1)}
       12:{2,4,6}:{(5,1),(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(32,1),(36,1),(38,1),(48,1),(49,1)}
       13:{2,7}:{(6,1),(8,1),(18,1)}
       14:{1,5}:{(7,1),(20,1)}
       15:{1,4,7}:{(7,1),(8,1),(21,1),(22,1),(47,1)}
       16:{1,3}:{(9,1),(11,1),(23,1)}
       17:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(26,1),(42,1),(43,1)}
       18:{1,7}:{(10,1),(13,1)}
       19:{3,6}:{(11,1),(12,1),(27,1),(28,1),(51,1)}
       20:{2,5}:{(12,1),(14,1),(25,1),(27,1),(52,1)}
       21:{2,4,7}:{(12,1),(13,1),(15,1),(26,1),(28,1),(29,1),(41,1),(44,1)}
       22:{1,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       23:{2}:{(16,1),(31,1)}
       24:{1,3,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1)}
       25:{1,5}:{(17,1),(20,1)}
       26:{1,4,7}:{(17,1),(18,1),(21,1),(34,1),(35,1)}
       27:{3,5}:{(19,1),(20,1),(36,1)}
       28:{3,7}:{(19,1),(21,1)}
       29:{2,5,7}:{(20,1),(21,1),(22,1),(35,1),(37,1),(38,1)}
       30:{1,6}:{(22,1),(38,1)}
       31:{1}:{(23,1)}
       32:{2,6}:{(23,1),(24,1),(39,1),(40,1),(41,1)}
       33:{1,3,5}:{(24,1),(25,1),(27,1),(40,1),(42,1),(51,1)}
       34:{1,3,7}:{(24,1),(26,1),(28,1),(41,1)}
       35:{1,5,7}:{(25,1),(26,1),(29,1),(43,1)}
       36:{4}:{(27,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(44,1),(45,1),(52,1)}
       38:{2,6}:{(29,1),(30,1),(43,1),(45,1)}
       39:{1,6}:{(31,1),(32,1),(46,1),(47,1)}
       40:{2,5}:{(32,1),(33,1),(46,1),(48,1)}
       41:{2,7}:{(32,1),(34,1),(47,1)}
       42:{1,4}:{(33,1),(36,1),(48,1),(55,1)}
       43:{1,6}:{(35,1),(38,1)}
       44:{4,7}:{(36,1),(37,1),(49,1)}
       45:{3,6}:{(37,1),(38,1),(49,1)}
       46:{1,5}:{(39,1),(40,1),(50,1)}
       47:{1,7}:{(39,1),(41,1)}
       48:{2,4}:{(40,1),(42,1),(50,1),(51,1),(54,1)}
       49:{4,6}:{(44,1),(45,1),(52,1)}
       50:{1,4}:{(46,1),(48,1),(53,1)}
       51:{3}:{(48,1)}
       52:{5}:{(49,1)}
       53:{1,3}:{(50,1),(51,1),(54,1)}
       54:{2}:{(53,1),(55,1)}
       55:{1}:{(54,1)}

 385 :   0:{1,2,4}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,3}:{(0,1),(4,1)}
         2:{1,2,5}:{(0,1),(6,1),(7,1),(20,1),(77,1)}
         3:{1,2}:{(8,1)}
         4:{2,3}:{(1,1),(8,1),(10,1)}
         5:{1,3,4}:{(1,1),(10,1),(12,1),(13,1),(34,1)}
         6:{1,3,5}:{(1,1),(2,1),(11,1),(13,1),(14,1),(39,1),(62,1),(85,1)}
         7:{1,2,6}:{(2,1),(14,1),(15,1),(33,1)}
         8:{1,3}:{(3,1),(4,1),(16,1)}
         9:{1,2,5}:{(3,1),(17,1),(18,1),(19,1),(71,1)}
        10:{2,4}:{(4,1),(5,1),(16,1),(20,1)}
        11:{2,3,5}:{(4,1),(6,1),(17,1),(20,1),(21,1),(22,1),(46,1),(47,1),(51,1),(71,1)}
        12:{1,3,5}:{(5,1),(20,1),(23,1),(24,1),(47,1)}
        13:{1,4}:{(6,1),(21,1)}
        14:{1,3,6}:{(6,1),(7,1),(22,1),(25,1),(26,1),(95,1)}
        15:{1,2,7}:{(7,1),(26,1),(49,1)}
        16:{1,4}:{(8,1),(10,1),(27,1)}
        17:{1,3,5}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(30,1),(60,1)}
        18:{1,2,4}:{(9,1),(28,1),(30,1),(59,1)}
        19:{1,2,6}:{(9,1),(29,1),(31,1),(86,1)}
        20:{2,5}:{(10,1),(12,1),(27,1),(33,1)}
        21:{2,4}:{(11,1),(13,1),(28,1),(34,1)}
        22:{2,3,6}:{(11,1),(14,1),(29,1),(33,1),(35,1),(36,1),(63,1),(86,1)}
        23:{1,4,5}:{(12,1),(13,1),(32,1),(37,1),(39,1),(85,1)}
        24:{1,3,6}:{(12,1),(33,1),(37,1),(38,1),(63,1)}
        25:{1,4,6}:{(13,1),(14,1),(35,1),(39,1),(40,1),(70,1)}
        26:{1,3,7}:{(14,1),(15,1),(36,1),(40,1),(101,1)}
        27:{1,5}:{(16,1),(20,1),(42,1)}
        28:{1,4}:{(17,1),(21,1)}
        29:{1,3,6}:{(17,1),(19,1),(22,1),(42,1),(44,1),(45,1)}
        30:{1,3}:{(18,1),(46,1)}
        31:{1,2,7}:{(19,1),(45,1),(96,1)}
        32:{2,4,5}:{(20,1),(21,1),(23,1),(41,1),(47,1),(48,1),(51,1),(71,1),(81,1)}
        33:{2,6}:{(20,1),(24,1),(42,1),(49,1)}
        34:{3,4}:{(21,1),(47,1)}
        35:{2,4,6}:{(21,1),(22,1),(25,1),(44,1),(50,1),(51,1),(52,1),(83,1)}
        36:{2,3,7}:{(22,1),(26,1),(45,1),(49,1),(52,1),(79,1),(96,1)}
        37:{1,4,6}:{(23,1),(24,1),(48,1),(53,1),(54,1),(95,1)}
        38:{1,3,7}:{(24,1),(49,1),(54,1),(79,1)}
        39:{1,5}:{(25,1),(51,1)}
        40:{1,4,7}:{(25,1),(26,1),(52,1),(55,1)}
        41:{1,4,5}:{(27,1),(28,1),(32,1),(56,1),(57,1),(60,1)}
        42:{1,6}:{(27,1),(33,1),(58,1)}
        43:{1,3,4}:{(28,1),(30,1),(34,1),(56,1),(59,1)}
        44:{1,4,6}:{(28,1),(29,1),(35,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(29,1),(31,1),(36,1),(58,1),(61,1)}
        46:{2,3}:{(30,1),(59,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(63,1)}
        48:{2,4,6}:{(32,1),(33,1),(37,1),(57,1),(63,1),(64,1),(65,1),(86,1),(90,1)}
        49:{2,7}:{(33,1),(38,1),(58,1)}
        50:{3,4,6}:{(34,1),(35,1),(63,1),(66,1),(67,1),(90,1),(94,1)}
        51:{2,5}:{(35,1),(39,1),(60,1),(66,1)}
        52:{2,4,7}:{(35,1),(36,1),(40,1),(61,1),(67,1),(68,1)}
        53:{1,5,6}:{(37,1),(39,1),(64,1),(69,1),(70,1)}
        54:{1,4,7}:{(37,1),(38,1),(65,1),(69,1),(101,1)}
        55:{1,5,7}:{(39,1),(40,1),(68,1),(70,1)}
        56:{1,3,5}:{(41,1),(43,1),(47,1),(71,1),(72,1)}
        57:{1,4,6}:{(41,1),(42,1),(48,1),(72,1),(73,1),(74,1)}
        58:{1,7}:{(42,1),(49,1)}
        59:{2,4}:{(43,1),(46,1),(71,1),(75,1)}
        60:{1,5}:{(44,1),(51,1)}
        61:{1,4,7}:{(44,1),(45,1),(52,1),(76,1)}
        62:{1,3}:{(46,1),(75,1),(77,1)}
        63:{3,6}:{(47,1),(48,1),(79,1)}
        64:{2,5,6}:{(48,1),(51,1),(53,1),(73,1),(78,1),(80,1),(83,1)}
        65:{2,4,7}:{(48,1),(49,1),(54,1),(74,1),(79,1),(80,1),(96,1),(98,1)}
        66:{3,5}:{(50,1),(51,1),(81,1)}
        67:{3,4,7}:{(50,1),(52,1),(79,1),(82,1),(98,1)}
        68:{2,5,7}:{(51,1),(52,1),(55,1),(76,1),(82,1),(83,1)}
        69:{1,5,7}:{(53,1),(54,1),(80,1),(84,1)}
        70:{1,6}:{(55,1),(83,1)}
        71:{2,5}:{(56,1),(59,1),(85,1),(86,1)}
        72:{1,3,6}:{(56,1),(57,1),(63,1),(86,1),(87,1)}
        73:{1,5,6}:{(57,1),(60,1),(64,1),(88,1),(89,1)}
        74:{1,4,7}:{(57,1),(58,1),(65,1),(87,1),(88,1)}
        75:{1,4}:{(59,1),(62,1),(85,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,2}:{(62,1)}
        78:{3,5,6}:{(63,1),(64,1),(66,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(63,1),(65,1)}
        80:{2,5,7}:{(64,1),(65,1),(69,1),(88,1),(91,1),(92,1)}
        81:{4,5}:{(66,1),(90,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(93,1),(94,1)}
        83:{2,6}:{(68,1),(70,1),(89,1),(94,1)}
        84:{1,6,7}:{(69,1),(70,1),(92,1)}
        85:{1,5}:{(71,1),(75,1),(95,1)}
        86:{2,6}:{(71,1),(72,1),(95,1),(96,1)}
        87:{1,3,7}:{(72,1),(74,1),(79,1),(96,1)}
        88:{1,5,7}:{(73,1),(74,1),(80,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(84,1),(97,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(92,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 386 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 387 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 388 :   0:{1,6,7}:{(4,1),(7,1),(94,1)}
         1:{1,5,6}:{(5,1),(7,1),(8,1),(83,1),(94,1)}
         2:{1,4,5}:{(6,1),(8,1),(9,1),(56,1),(62,1),(83,1)}
         3:{1,3,4}:{(9,1),(10,1),(30,1),(34,1),(62,1),(86,1)}
         4:{2,6,7}:{(0,1),(11,1),(14,1),(16,1),(89,1),(98,1)}
         5:{2,5,6}:{(1,1),(12,1),(15,1),(16,1),(17,1),(73,1),(89,1),(91,1),(98,1)}
         6:{2,4,5}:{(2,1),(13,1),(17,1),(18,1),(22,1),(41,1),(43,1),(46,1),(73,1),(76,1),(91,1),(100,1)}
         7:{1,5,7}:{(0,1),(1,1),(16,1),(20,1)}
         8:{1,4,6}:{(1,1),(2,1),(17,1),(20,1),(21,1),(70,1)}
         9:{1,3,5}:{(2,1),(3,1),(18,1),(21,1),(22,1)}
        10:{2,4}:{(3,1),(19,1),(22,1),(23,1),(50,1)}
        11:{1,6,7}:{(4,1),(24,1),(94,1)}
        12:{1,5,6}:{(5,1),(24,1),(25,1),(83,1),(94,1)}
        13:{1,4,5}:{(6,1),(25,1),(26,1),(37,1),(62,1),(83,1)}
        14:{3,6,7}:{(4,1),(27,1),(28,1),(81,1),(101,1)}
        15:{3,5,6}:{(5,1),(28,1),(29,1),(32,1),(57,1),(59,1),(81,1),(96,1),(101,1),(104,1)}
        16:{2,5,7}:{(4,1),(5,1),(7,1),(24,1),(28,1),(31,1)}
        17:{2,4,6}:{(5,1),(6,1),(8,1),(25,1),(29,1),(31,1),(32,1),(36,1),(55,1)}
        18:{3,5}:{(6,1),(30,1),(32,1),(86,1)}
        19:{2,3}:{(10,1),(34,1),(86,1)}
        20:{1,4,7}:{(7,1),(8,1),(31,1),(35,1),(80,1)}
        21:{1,3,6}:{(8,1),(9,1),(32,1),(35,1),(36,1)}
        22:{2,5}:{(9,1),(10,1),(36,1),(37,1)}
        23:{1,4}:{(10,1),(34,1),(37,1)}
        24:{1,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,4,6}:{(12,1),(13,1),(17,1),(39,1),(40,1),(52,1)}
        26:{1,3,5}:{(13,1),(18,1),(38,1),(40,1),(41,1)}
        27:{4,6,7}:{(14,1),(42,1),(44,1),(71,1),(103,1)}
        28:{3,5,7}:{(14,1),(15,1),(16,1),(42,1),(44,1),(47,1)}
        29:{4,6}:{(15,1),(43,1),(44,1),(100,1)}
        30:{3,4}:{(18,1),(46,1),(100,1)}
        31:{2,4,7}:{(16,1),(17,1),(20,1),(39,1),(44,1),(47,1),(51,1),(69,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{2,3,5}:{(18,1),(19,1),(22,1),(41,1),(46,1),(48,1),(49,1),(67,1),(73,1)}
        34:{1,3}:{(19,1),(23,1),(50,1)}
        35:{1,3,7}:{(20,1),(21,1),(47,1),(51,1)}
        36:{2,6}:{(21,1),(22,1),(51,1),(52,1)}
        37:{1,5}:{(22,1),(23,1),(52,1)}
        38:{1,3,4}:{(26,1),(30,1),(53,1),(62,1),(79,1),(86,1)}
        39:{1,4,7}:{(24,1),(25,1),(31,1),(54,1),(66,1)}
        40:{1,3,6}:{(25,1),(26,1),(32,1),(54,1),(55,1)}
        41:{2,5}:{(26,1),(53,1),(55,1),(56,1)}
        42:{5,7}:{(27,1),(57,1),(104,1)}
        43:{4,5}:{(29,1),(59,1),(104,1)}
        44:{4,7}:{(28,1),(29,1)}
        45:{3,4,6}:{(29,1),(30,1),(32,1),(59,1),(60,1),(61,1),(81,1)}
        46:{2,4}:{(30,1),(33,1),(62,1)}
        47:{3,7}:{(31,1),(32,1)}
        48:{2,3,6}:{(32,1),(33,1),(36,1),(55,1),(61,1),(63,1),(64,1)}
        49:{1,3,5}:{(33,1),(34,1),(37,1),(56,1),(62,1),(64,1),(65,1),(79,1),(83,1),(86,1),(96,1)}
        50:{2}:{(34,1)}
        51:{2,7}:{(35,1),(36,1),(66,1)}
        52:{1,6}:{(36,1),(37,1),(66,1)}
        53:{2,4}:{(38,1),(41,1),(67,1),(68,1),(88,1)}
        54:{1,3,7}:{(39,1),(40,1),(47,1),(69,1)}
        55:{2,6}:{(40,1),(41,1),(69,1),(70,1)}
        56:{1,5}:{(41,1),(68,1),(70,1)}
        57:{5,6}:{(42,1),(71,1)}
        58:{4,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1)}
        59:{3,5}:{(43,1),(45,1),(73,1)}
        60:{3,4,7}:{(44,1),(45,1),(47,1),(72,1),(74,1)}
        61:{2,4,6}:{(45,1),(46,1),(48,1),(73,1),(74,1),(75,1),(89,1)}
        62:{1,4}:{(46,1),(49,1),(76,1),(100,1)}
        63:{2,3,7}:{(47,1),(48,1),(51,1),(69,1),(74,1),(77,1)}
        64:{1,3,6}:{(48,1),(49,1),(52,1),(70,1),(75,1),(77,1),(78,1),(93,1)}
        65:{2,5}:{(49,1),(50,1),(76,1),(78,1),(88,1)}
        66:{1,7}:{(51,1),(52,1)}
        67:{2,3}:{(53,1),(79,1),(86,1)}
        68:{1,4}:{(53,1),(56,1),(79,1)}
        69:{2,7}:{(54,1),(55,1),(80,1)}
        70:{1,6}:{(55,1),(56,1),(80,1)}
        71:{4,6}:{(57,1),(58,1),(81,1)}
        72:{3,5,7}:{(58,1),(59,1),(60,1),(81,1),(82,1)}
        73:{2,5}:{(59,1),(61,1),(83,1)}
        74:{2,4,7}:{(60,1),(61,1),(63,1),(82,1),(84,1)}
        75:{1,4,6}:{(61,1),(62,1),(64,1),(83,1),(84,1),(85,1),(94,1)}
        76:{2,4}:{(62,1),(65,1),(86,1)}
        77:{1,3,7}:{(63,1),(64,1),(66,1),(80,1),(84,1),(87,1),(97,1)}
        78:{2,6}:{(64,1),(65,1),(87,1)}
        79:{1,3}:{(67,1),(68,1),(88,1)}
        80:{1,7}:{(69,1),(70,1)}
        81:{3,6}:{(71,1),(72,1),(89,1)}
        82:{2,5,7}:{(72,1),(73,1),(74,1),(89,1),(90,1)}
        83:{1,5}:{(73,1),(75,1),(91,1)}
        84:{1,4,7}:{(74,1),(75,1),(77,1),(90,1),(92,1)}
        85:{2,4,6}:{(75,1),(76,1),(78,1),(91,1),(92,1),(93,1),(98,1),(100,1),(103,1)}
        86:{3}:{(76,1)}
        87:{2,7}:{(77,1),(78,1)}
        88:{2}:{(79,1)}
        89:{2,6}:{(81,1),(82,1),(94,1)}
        90:{1,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1)}
        91:{2,5}:{(83,1),(85,1),(96,1),(104,1)}
        92:{2,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1),(102,1)}
        93:{3,6}:{(85,1),(86,1),(96,1),(97,1)}
        94:{1,6}:{(89,1),(90,1),(98,1)}
        95:{2,5,7}:{(90,1),(91,1),(92,1),(98,1),(99,1)}
        96:{3,5}:{(91,1),(93,1),(100,1)}
        97:{3,7}:{(92,1),(93,1)}
        98:{2,6}:{(94,1),(95,1),(101,1)}
        99:{3,5,7}:{(95,1),(96,1),(97,1),(101,1),(102,1),(104,1)}
       100:{4}:{(96,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{4,7}:{(99,1),(100,1),(103,1)}
       103:{4,6}:{(101,1),(102,1),(104,1)}
       104:{5}:{(103,1)}

 389 :   0:{1,4,5,7}:{(2,1),(3,1),(4,1),(28,1),(34,1),(61,1),(64,1),(76,1),(116,1),(142,1),(144,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(20,1),(25,1),(64,1),(76,1),(114,1),(120,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(43,1),(56,1),(90,1),(92,1),(93,1),(94,1),(100,1),(127,1),(129,1),(133,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(8,1),(12,1),(13,1),(17,1),(155,1),(156,1)}
         4:{1,4,6}:{(0,1),(9,1),(13,1),(14,1),(87,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(15,1),(16,1),(47,1),(168,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(41,1),(48,1),(54,1),(91,1),(97,1),(98,1),(102,1),(132,1),(134,1),(158,1)}
         7:{1,4,5,7}:{(2,1),(18,1),(19,1),(29,1),(60,1),(64,1),(79,1),(108,1),(111,1),(116,1),(119,1)}
         8:{3,5,7}:{(2,1),(20,1),(23,1),(66,1),(80,1),(114,1),(120,1),(143,1),(145,1),(147,1)}
         9:{2,4,6}:{(2,1),(4,1),(19,1),(23,1),(24,1),(30,1),(62,1),(70,1)}
        10:{2,3,7}:{(5,1),(25,1),(26,1),(114,1),(120,1),(150,1),(171,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(27,1),(28,1),(76,1),(109,1),(144,1)}
        12:{2,5,7}:{(3,1),(5,1),(29,1),(30,1),(33,1),(163,1),(164,1)}
        13:{1,3,6}:{(3,1),(4,1),(23,1),(30,1)}
        14:{1,5,6}:{(4,1),(24,1),(28,1),(116,1)}
        15:{1,4,7}:{(5,1),(25,1),(29,1),(32,1),(172,1)}
        16:{2,4,6}:{(5,1),(6,1),(26,1),(30,1),(32,1),(33,1),(71,1),(73,1),(117,1)}
        17:{1,3,5}:{(6,1),(33,1),(34,1),(66,1),(80,1),(116,1),(147,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(35,1),(37,1),(38,1),(84,1),(103,1),(136,1)}
        19:{1,4,6}:{(7,1),(9,1),(38,1),(39,1),(52,1)}
        20:{3,4,7}:{(8,1),(40,1),(41,1),(94,1),(98,1),(154,1),(158,1)}
        21:{2,4,6,7}:{(9,1),(11,1),(36,1),(42,1),(43,1),(50,1),(85,1),(94,1),(100,1),(129,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(12,1),(37,1),(40,1),(44,1),(45,1),(49,1),(81,1),(92,1),(125,1)}
        23:{3,6}:{(8,1),(9,1)}
        24:{2,5,6}:{(9,1),(14,1),(39,1),(43,1),(46,1),(92,1),(133,1)}
        25:{1,3,7}:{(10,1),(15,1),(47,1),(48,1),(160,1),(173,1)}
        26:{2,3,6}:{(10,1),(16,1),(48,1),(49,1),(102,1),(132,1),(134,1),(137,1)}
        27:{1,3,6,7}:{(11,1),(13,1),(42,1),(50,1),(51,1),(156,1)}
        28:{1,5,7}:{(11,1),(14,1),(43,1)}
        29:{1,5,7}:{(12,1),(15,1),(52,1),(55,1),(169,1),(170,1)}
        30:{2,6}:{(12,1),(13,1),(52,1)}
        31:{1,3,5,6}:{(13,1),(14,1),(17,1),(46,1),(51,1),(53,1),(54,1),(102,1)}
        32:{1,4,6}:{(15,1),(16,1),(48,1),(52,1),(55,1),(97,1)}
        33:{2,5}:{(16,1),(17,1),(55,1)}
        34:{1,4,5}:{(17,1),(54,1),(56,1),(93,1),(97,1),(138,1),(158,1)}
        35:{1,3,4,7}:{(18,1),(20,1),(57,1),(58,1),(64,1),(104,1),(111,1),(114,1),(118,1),(145,1)}
        36:{1,4,6,7}:{(19,1),(21,1),(59,1),(60,1),(74,1),(111,1),(119,1)}
        37:{2,5,7}:{(18,1),(57,1),(61,1),(62,1),(107,1),(122,1),(150,1)}
        38:{1,3,6}:{(18,1),(19,1),(23,1),(62,1)}
        39:{1,5,6}:{(19,1),(24,1),(60,1),(116,1)}
        40:{2,4,7}:{(20,1),(22,1),(64,1),(65,1),(73,1),(141,1)}
        41:{3,4,6}:{(20,1),(23,1),(65,1),(66,1),(70,1)}
        42:{3,6,7}:{(21,1),(23,1),(67,1),(120,1),(145,1)}
        43:{2,5,7}:{(21,1),(24,1),(28,1),(60,1),(67,1)}
        44:{1,3,5,7}:{(22,1),(25,1),(29,1),(61,1),(64,1),(68,1),(69,1),(72,1),(104,1),(114,1),(116,1),(140,1),(147,1)}
        45:{2,3,6}:{(22,1),(23,1),(30,1),(62,1),(65,1),(69,1)}
        46:{3,5,6}:{(23,1),(24,1),(66,1),(67,1),(70,1),(147,1)}
        47:{2,7}:{(25,1),(71,1),(174,1)}
        48:{1,3,6}:{(25,1),(26,1),(32,1),(71,1),(72,1),(151,1)}
        49:{2,3,5}:{(26,1),(33,1),(72,1),(73,1),(80,1),(122,1),(147,1),(148,1)}
        50:{2,6,7}:{(27,1),(30,1),(74,1),(75,1),(164,1)}
        51:{1,3,5,7}:{(27,1),(28,1),(31,1),(67,1),(75,1),(76,1),(120,1)}
        52:{1,6}:{(29,1),(30,1)}
        53:{2,5,6}:{(30,1),(31,1),(33,1),(75,1),(77,1),(78,1)}
        54:{1,4,6}:{(31,1),(34,1),(70,1),(76,1),(78,1),(151,1)}
        55:{1,5}:{(32,1),(33,1)}
        56:{2,4,5}:{(33,1),(34,1),(73,1),(78,1),(79,1),(80,1),(117,1),(122,1)}
        57:{2,4,7}:{(35,1),(37,1),(81,1),(82,1),(83,1),(123,1),(135,1)}
        58:{1,3,4,6}:{(35,1),(38,1),(41,1),(83,1),(84,1),(89,1),(91,1),(124,1),(131,1),(132,1),(153,1),(154,1),(158,1),(167,1)}
        59:{1,3,6,7}:{(36,1),(38,1),(42,1),(85,1),(86,1),(136,1)}
        60:{1,5,7}:{(36,1),(39,1),(43,1)}
        61:{1,5,7}:{(37,1),(82,1),(87,1),(126,1),(138,1),(160,1)}
        62:{2,6}:{(37,1),(38,1),(87,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(46,1),(84,1),(86,1),(88,1),(89,1),(131,1)}
        64:{1,4,7}:{(40,1),(44,1),(90,1),(91,1),(97,1),(153,1),(158,1)}
        65:{2,4,6}:{(40,1),(41,1),(45,1),(91,1),(92,1)}
        66:{3,5}:{(41,1),(92,1),(93,1)}
        67:{3,5,7}:{(42,1),(43,1),(46,1),(94,1)}
        68:{2,5,7}:{(44,1),(47,1),(90,1),(95,1),(96,1),(123,1),(133,1),(152,1)}
        69:{1,3,6}:{(44,1),(45,1),(52,1),(87,1),(91,1),(95,1),(132,1)}
        70:{4,6}:{(46,1),(93,1),(94,1),(158,1)}
        71:{2,6}:{(47,1),(48,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(55,1),(96,1),(97,1),(134,1),(138,1),(159,1)}
        73:{2,4}:{(49,1),(97,1),(98,1),(158,1)}
        74:{1,6,7}:{(50,1),(52,1),(99,1),(170,1)}
        75:{2,5,7}:{(50,1),(51,1),(53,1),(99,1),(100,1)}
        76:{1,4,7}:{(51,1),(54,1),(94,1),(100,1),(160,1)}
        77:{1,5,6}:{(52,1),(53,1),(55,1),(99,1),(101,1)}
        78:{2,4,6}:{(53,1),(54,1),(56,1),(100,1),(101,1),(102,1),(137,1)}
        79:{1,4,5}:{(55,1),(56,1),(97,1),(101,1),(103,1)}
        80:{3,5}:{(56,1),(98,1),(102,1),(134,1)}
        81:{2,3,7}:{(57,1),(104,1),(105,1),(114,1),(145,1),(148,1),(164,1)}
        82:{1,4,7}:{(57,1),(61,1),(104,1),(106,1),(149,1)}
        83:{2,4,6}:{(57,1),(58,1),(62,1),(105,1),(106,1),(107,1),(139,1),(141,1),(161,1)}
        84:{1,3,5}:{(58,1),(66,1),(107,1),(108,1),(116,1),(143,1),(147,1)}
        85:{2,6,7}:{(59,1),(62,1),(109,1),(110,1),(150,1)}
        86:{1,3,5,7}:{(59,1),(60,1),(63,1),(67,1),(110,1),(111,1),(145,1)}
        87:{1,6}:{(61,1),(62,1)}
        88:{2,5,6}:{(62,1),(63,1),(107,1),(110,1),(112,1),(113,1)}
        89:{1,4,6}:{(63,1),(70,1),(108,1),(111,1),(113,1),(165,1)}
        90:{2,4,7}:{(64,1),(68,1),(114,1),(115,1),(117,1),(161,1)}
        91:{1,4,6}:{(64,1),(65,1),(69,1),(115,1),(116,1)}
        92:{2,5}:{(65,1),(66,1),(116,1)}
        93:{4,5}:{(66,1),(70,1)}
        94:{4,7}:{(67,1),(70,1)}
        95:{2,6}:{(68,1),(69,1)}
        96:{2,5}:{(71,1),(72,1),(117,1),(166,1)}
        97:{1,4}:{(72,1),(73,1),(117,1)}
        98:{3,4}:{(73,1),(80,1)}
        99:{1,5,7}:{(74,1),(75,1),(77,1),(119,1)}
       100:{2,4,7}:{(75,1),(76,1),(78,1),(119,1),(120,1),(150,1)}
       101:{1,4,6}:{(77,1),(78,1),(79,1),(119,1),(121,1)}
       102:{3,6}:{(78,1),(80,1),(120,1)}
       103:{1,3,5}:{(79,1),(80,1),(118,1),(121,1),(122,1)}
       104:{1,3,7}:{(81,1),(82,1),(123,1),(124,1),(159,1),(170,1)}
       105:{2,3,6}:{(81,1),(83,1),(124,1),(125,1),(131,1),(132,1),(157,1),(167,1)}
       106:{1,4,6}:{(82,1),(83,1),(87,1),(124,1),(126,1),(153,1)}
       107:{2,5}:{(83,1),(84,1),(126,1)}
       108:{1,4,5}:{(84,1),(89,1),(93,1),(127,1),(153,1),(158,1),(169,1)}
       109:{1,6,7}:{(85,1),(87,1),(128,1),(160,1)}
       110:{2,5,7}:{(85,1),(86,1),(88,1),(128,1),(129,1)}
       111:{1,4,7}:{(86,1),(89,1),(94,1),(129,1),(170,1)}
       112:{1,5,6}:{(87,1),(88,1),(126,1),(128,1),(130,1)}
       113:{2,4,6}:{(88,1),(89,1),(127,1),(129,1),(130,1),(131,1),(157,1)}
       114:{3,7}:{(90,1),(132,1),(134,1),(167,1)}
       115:{2,4,6}:{(90,1),(91,1),(95,1),(132,1),(133,1),(158,1)}
       116:{1,5}:{(91,1),(92,1),(133,1)}
       117:{2,4}:{(96,1),(97,1),(134,1)}
       118:{1,3,4}:{(97,1),(98,1),(103,1),(134,1),(135,1),(159,1)}
       119:{1,4,7}:{(99,1),(100,1),(101,1),(136,1)}
       120:{3,7}:{(100,1),(102,1)}
       121:{1,3,6}:{(101,1),(102,1),(103,1),(136,1),(137,1)}
       122:{2,5}:{(103,1),(135,1),(137,1),(138,1)}
       123:{2,7}:{(104,1),(139,1),(166,1)}
       124:{1,3,6}:{(104,1),(105,1),(106,1),(139,1),(140,1),(165,1)}
       125:{2,3,5}:{(105,1),(107,1),(140,1),(141,1),(143,1),(147,1),(163,1),(171,1)}
       126:{1,5}:{(106,1),(107,1)}
       127:{2,4,5}:{(107,1),(108,1),(113,1),(141,1),(142,1),(143,1),(161,1),(163,1)}
       128:{1,5,7}:{(109,1),(110,1),(112,1),(144,1)}
       129:{2,4,7}:{(110,1),(111,1),(113,1),(144,1),(145,1),(164,1)}
       130:{1,4,6}:{(112,1),(113,1),(142,1),(144,1),(146,1)}
       131:{3,6}:{(113,1),(143,1),(145,1)}
       132:{3,6}:{(114,1),(115,1),(147,1)}
       133:{2,5}:{(115,1),(116,1),(147,1)}
       134:{3}:{(117,1)}
       135:{2,4}:{(118,1),(122,1),(148,1),(149,1),(166,1)}
       136:{1,3,7}:{(119,1),(120,1),(121,1),(150,1)}
       137:{2,6}:{(121,1),(122,1),(150,1),(151,1)}
       138:{1,5}:{(122,1),(149,1),(151,1)}
       139:{2,6}:{(123,1),(124,1),(152,1)}
       140:{1,3,5}:{(124,1),(125,1),(126,1),(152,1),(153,1),(167,1),(169,1),(173,1)}
       141:{2,4}:{(125,1),(153,1),(154,1),(158,1)}
       142:{1,4,5}:{(126,1),(127,1),(130,1),(153,1),(155,1)}
       143:{3,5}:{(127,1),(131,1),(154,1),(167,1)}
       144:{1,4,7}:{(128,1),(129,1),(130,1),(156,1)}
       145:{3,7}:{(129,1),(131,1)}
       146:{1,3,6}:{(130,1),(131,1),(155,1),(156,1),(157,1)}
       147:{3,5}:{(132,1),(133,1),(158,1)}
       148:{2,3}:{(134,1),(135,1),(159,1)}
       149:{1,4}:{(135,1),(138,1),(159,1)}
       150:{2,7}:{(136,1),(137,1),(160,1)}
       151:{1,6}:{(137,1),(138,1),(160,1)}
       152:{2,5}:{(139,1),(140,1),(161,1),(174,1)}
       153:{1,4}:{(140,1),(141,1),(161,1)}
       154:{3,4}:{(141,1),(143,1)}
       155:{1,3,5}:{(142,1),(143,1),(146,1),(162,1),(163,1)}
       156:{1,3,7}:{(144,1),(145,1),(146,1),(164,1)}
       157:{2,6}:{(146,1),(163,1),(164,1),(165,1)}
       158:{4}:{(147,1)}
       159:{1,3}:{(148,1),(149,1),(166,1)}
       160:{1,7}:{(150,1),(151,1)}
       161:{2,4}:{(152,1),(153,1),(167,1)}
       162:{1,3,4}:{(153,1),(154,1),(155,1),(167,1),(168,1),(173,1)}
       163:{2,5}:{(155,1),(157,1),(168,1),(169,1)}
       164:{2,7}:{(156,1),(157,1),(170,1)}
       165:{1,6}:{(157,1),(169,1),(170,1)}
       166:{2}:{(159,1)}
       167:{3}:{(161,1)}
       168:{2,4}:{(162,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(163,1),(165,1),(172,1)}
       170:{1,7}:{(164,1),(165,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 390 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 391 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 392 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 393 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 394 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(21,1),(42,1),(113,1),(138,1),(150,1),(211,1),(221,1),(225,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(27,1),(39,1),(79,1),(90,1),(101,1),(177,1),(194,1),(205,1),(206,1),(287,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(268,1),(281,1),(284,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(30,1),(73,1),(163,1),(195,1),(271,1),(288,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(21,1),(50,1),(70,1),(129,1),(138,1)}
         5:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(62,1),(66,1),(257,1),(264,1)}
         6:{1,3,5}:{(1,1),(2,1),(15,1),(17,1),(64,1),(236,1),(265,1),(345,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(16,1),(18,1),(46,1),(56,1),(124,1),(139,1),(151,1),(258,1),(350,1)}
         8:{2,4,5}:{(2,1),(12,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(18,1),(20,1),(21,1),(328,1),(346,1)}
        10:{1,2,4,6}:{(5,1),(22,1),(23,1),(24,1),(71,1),(79,1),(82,1),(177,1),(287,1),(290,1),(297,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(28,1),(39,1),(90,1),(108,1),(183,1),(194,1),(209,1)}
        12:{2,4,6}:{(4,1),(8,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(86,1),(97,1),(184,1),(195,1)}
        14:{2,3,6}:{(5,1),(22,1),(33,1),(34,1),(90,1),(322,1)}
        15:{2,5}:{(5,1),(6,1)}
        16:{2,4,7}:{(5,1),(7,1),(34,1),(36,1),(317,1)}
        17:{1,4,5}:{(6,1),(8,1),(27,1),(35,1),(79,1),(323,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(36,1),(38,1),(39,1),(105,1),(403,1)}
        19:{3,4,5}:{(8,1),(29,1),(162,1),(268,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(30,1),(38,1),(40,1),(41,1),(97,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(39,1),(41,1),(385,1),(404,1)}
        22:{1,3,6}:{(10,1),(14,1),(42,1),(45,1),(46,1),(355,1)}
        23:{1,2,5}:{(10,1),(15,1),(45,1),(111,1),(236,1),(345,1)}
        24:{1,2,4,7}:{(10,1),(16,1),(46,1),(48,1),(112,1),(124,1),(350,1),(351,1)}
        25:{2,4,5,6}:{(12,1),(49,1),(50,1),(51,1),(70,1),(129,1),(156,1),(210,1),(329,1),(359,1),(512,1),(541,1)}
        26:{2,5,6}:{(11,1),(15,1),(53,1),(54,1),(66,1),(257,1)}
        27:{1,4,6}:{(11,1),(12,1),(17,1),(53,1),(56,1),(266,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(54,1),(56,1),(57,1),(139,1),(143,1),(245,1),(258,1),(259,1)}
        29:{3,4,6}:{(12,1),(19,1),(50,1),(58,1),(541,1)}
        30:{2,4,7}:{(12,1),(13,1),(56,1),(58,1)}
        31:{2,3,6,7}:{(13,1),(21,1),(57,1),(59,1),(132,1),(246,1)}
        32:{2,3,4,6}:{(14,1),(44,1),(60,1),(61,1),(62,1),(135,1),(145,1),(149,1),(152,1),(219,1),(225,1),(334,1)}
        33:{2,3,5}:{(14,1),(15,1),(45,1),(62,1),(64,1)}
        34:{2,3,7}:{(14,1),(16,1),(46,1),(139,1)}
        35:{2,4,5}:{(15,1),(17,1),(53,1),(62,1),(64,1)}
        36:{2,5,7}:{(15,1),(16,1),(18,1),(66,1)}
        37:{1,3,4,5}:{(17,1),(19,1),(55,1),(64,1),(67,1),(123,1),(153,1),(223,1),(238,1),(356,1),(451,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(65,1),(68,1),(124,1),(143,1),(236,1)}
        39:{1,3,6}:{(18,1),(21,1),(66,1),(68,1),(154,1),(449,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(58,1),(69,1),(144,1),(220,1),(328,1),(341,1),(440,1)}
        41:{2,4,6}:{(20,1),(21,1),(68,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(273,1),(396,1)}
        43:{1,2,5,6}:{(23,1),(26,1),(74,1),(75,1),(76,1),(82,1),(159,1),(183,1),(284,1),(290,1),(303,1),(398,1),(402,1),(404,1),(470,1),(484,1)}
        44:{1,3,4,6}:{(22,1),(32,1),(71,1),(77,1),(78,1),(79,1),(162,1),(171,1),(175,1),(177,1),(273,1),(279,1),(280,1),(287,1),(390,1)}
        45:{1,3,5}:{(22,1),(23,1),(33,1),(72,1),(79,1)}
        46:{1,3,7}:{(22,1),(24,1),(34,1),(73,1)}
        47:{1,2,4,5}:{(23,1),(35,1),(75,1),(79,1),(81,1),(107,1),(160,1),(165,1),(176,1),(208,1),(284,1),(295,1),(297,1),(394,1),(402,1),(408,1),(466,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(36,1),(80,1),(82,1),(161,1),(403,1)}
        49:{1,4,5,6}:{(25,1),(27,1),(83,1),(84,1),(85,1),(108,1),(165,1),(183,1),(286,1),(300,1),(488,1)}
        50:{3,5,6}:{(25,1),(29,1),(86,1),(268,1),(385,1),(412,1)}
        51:{2,4,5,7}:{(25,1),(30,1),(85,1),(86,1),(87,1),(97,1),(184,1),(199,1),(413,1),(490,1),(530,1)}
        52:{2,3,5,6}:{(26,1),(33,1),(74,1),(88,1),(89,1),(90,1),(103,1),(169,1),(189,1),(207,1),(209,1),(284,1),(312,1),(313,1),(404,1),(470,1),(474,1),(515,1),(526,1),(545,1),(546,1)}
        53:{2,4,6}:{(26,1),(27,1),(35,1),(90,1),(91,1)}
        54:{2,5,7}:{(26,1),(28,1),(91,1),(92,1),(317,1)}
        55:{1,3,4,6}:{(27,1),(29,1),(37,1),(84,1),(90,1),(93,1),(94,1),(179,1),(194,1),(300,1),(412,1)}
        56:{1,4,7}:{(27,1),(28,1),(30,1),(91,1),(318,1)}
        57:{1,3,6,7}:{(28,1),(31,1),(39,1),(92,1),(95,1),(196,1),(307,1)}
        58:{3,4,7}:{(29,1),(30,1),(86,1),(530,1)}
        59:{2,4,6,7}:{(30,1),(31,1),(41,1),(95,1),(96,1),(97,1)}
        60:{2,3,5}:{(32,1),(77,1),(99,1),(189,1),(207,1),(284,1)}
        61:{2,3,4,7}:{(32,1),(34,1),(78,1),(100,1),(102,1),(192,1),(201,1),(288,1),(391,1)}
        62:{2,4}:{(33,1),(79,1),(101,1)}
        63:{2,3,5,7}:{(33,1),(34,1),(36,1),(80,1),(102,1),(103,1),(105,1),(207,1)}
        64:{3,5}:{(35,1),(90,1),(101,1)}
        65:{2,4,5,7}:{(35,1),(36,1),(38,1),(91,1),(102,1),(105,1),(106,1),(197,1),(207,1),(318,1),(323,1)}
        66:{2,6}:{(36,1),(39,1)}
        67:{2,4,5}:{(37,1),(93,1),(104,1),(107,1),(176,1),(208,1),(284,1)}
        68:{1,4,6}:{(38,1),(39,1),(41,1),(106,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(385,1),(477,1)}
        70:{2,5,6}:{(41,1),(97,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(44,1),(111,1),(112,1),(113,1),(218,1),(340,1),(441,1)}
        72:{2,3,5}:{(42,1),(45,1),(111,1),(113,1),(216,1)}
        73:{2,3,7}:{(42,1),(46,1),(112,1),(335,1)}
        74:{1,3,5,6}:{(43,1),(45,1),(52,1),(110,1),(115,1),(116,1),(117,1),(125,1),(223,1),(228,1),(236,1),(345,1),(347,1),(348,1),(447,1),(449,1),(509,1),(539,1)}
        75:{1,2,4,6}:{(43,1),(47,1),(53,1),(115,1),(117,1),(118,1),(141,1),(214,1),(225,1),(257,1),(352,1),(359,1),(441,1),(493,1)}
        76:{1,2,5,7}:{(43,1),(54,1),(116,1),(118,1),(119,1),(215,1),(245,1),(346,1),(351,1),(363,1),(445,1),(502,1)}
        77:{1,3,5}:{(44,1),(60,1),(111,1),(121,1),(216,1),(236,1),(341,1),(345,1)}
        78:{1,3,4,7}:{(44,1),(46,1),(61,1),(112,1),(122,1),(124,1),(220,1),(231,1),(335,1),(350,1),(442,1)}
        79:{1,4}:{(45,1),(62,1),(113,1)}
        80:{1,3,5,7}:{(45,1),(46,1),(48,1),(63,1),(114,1),(124,1),(125,1),(236,1)}
        81:{1,3,5}:{(47,1),(64,1),(117,1),(123,1),(126,1),(216,1),(355,1),(451,1),(497,1)}
        82:{1,2,6}:{(48,1),(66,1),(125,1),(218,1),(449,1)}
        83:{2,4,5,6}:{(49,1),(53,1),(127,1),(128,1),(129,1),(134,1),(155,1),(239,1),(252,1),(266,1),(454,1),(455,1)}
        84:{1,3,5,6}:{(49,1),(50,1),(55,1),(127,1),(129,1),(130,1),(223,1),(347,1)}
        85:{1,4,5,7}:{(49,1),(51,1),(56,1),(128,1),(130,1),(131,1),(143,1),(245,1),(360,1),(458,1)}
        86:{3,5,7}:{(50,1),(51,1),(58,1),(132,1),(456,1)}
        87:{2,4,6,7}:{(51,1),(131,1),(132,1),(133,1),(246,1),(247,1),(329,1)}
        88:{2,4,6}:{(52,1),(62,1),(115,1),(134,1),(135,1),(136,1),(266,1),(505,1),(550,1)}
        89:{2,3,5,7}:{(52,1),(54,1),(116,1),(136,1),(137,1),(139,1),(229,1),(251,1),(256,1),(259,1),(346,1),(502,1),(532,1),(548,1)}
        90:{3,6}:{(53,1),(64,1),(139,1)}
        91:{2,4,7}:{(53,1),(54,1),(56,1),(139,1)}
        92:{2,6,7}:{(54,1),(57,1),(66,1)}
        93:{2,4,6}:{(55,1),(67,1),(129,1),(138,1),(141,1),(142,1),(257,1)}
        94:{1,3,4,7}:{(55,1),(56,1),(58,1),(130,1),(139,1),(142,1),(240,1),(258,1),(360,1),(456,1)}
        95:{1,4,6,7}:{(56,1),(57,1),(59,1),(68,1),(140,1),(143,1)}
        96:{3,4,6,7}:{(58,1),(59,1),(69,1),(132,1),(144,1),(247,1)}
        97:{2,5,7}:{(59,1),(70,1),(143,1),(144,1)}
        98:{2,3,5,6}:{(60,1),(120,1),(145,1),(146,1),(149,1),(248,1),(263,1),(334,1),(342,1)}
        99:{2,4,5}:{(60,1),(62,1),(121,1),(145,1),(147,1)}
       100:{2,3,5,7}:{(60,1),(61,1),(122,1),(148,1),(149,1),(251,1),(346,1)}
       101:{3,4}:{(62,1),(64,1)}
       102:{2,4,7}:{(62,1),(63,1),(124,1),(151,1),(152,1)}
       103:{2,3,6}:{(63,1),(66,1),(125,1),(152,1),(154,1)}
       104:{2,3,5}:{(64,1),(67,1),(138,1),(150,1),(153,1),(451,1)}
       105:{3,5,7}:{(64,1),(65,1),(139,1),(151,1),(154,1),(265,1)}
       106:{2,4,6}:{(65,1),(66,1),(68,1),(154,1),(155,1),(266,1)}
       107:{1,4,5}:{(67,1),(141,1),(153,1),(235,1),(345,1)}
       108:{1,5,6}:{(68,1),(70,1),(143,1),(155,1),(236,1)}
       109:{3,5,6}:{(69,1),(70,1),(144,1),(156,1),(341,1)}
       110:{2,3,5,6}:{(72,1),(74,1),(157,1),(158,1),(159,1),(164,1),(169,1),(268,1),(273,1),(281,1),(284,1),(303,1),(385,1),(386,1),(395,1),(404,1),(412,1),(419,1),(492,1),(529,1),(531,1)}
       111:{2,5}:{(71,1),(77,1)}
       112:{2,4,7}:{(71,1),(73,1),(78,1),(161,1),(479,1)}
       113:{2,4}:{(72,1),(79,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(80,1),(161,1),(163,1),(164,1),(277,1),(281,1)}
       115:{1,4,6}:{(74,1),(79,1),(88,1),(157,1),(165,1),(167,1),(482,1)}
       116:{1,3,5,7}:{(74,1),(76,1),(89,1),(158,1),(167,1),(168,1),(170,1),(289,1),(291,1),(403,1)}
       117:{1,3,6}:{(75,1),(81,1),(90,1),(169,1),(170,1),(273,1),(412,1),(515,1)}
       118:{1,2,4,7}:{(75,1),(76,1),(91,1),(167,1),(170,1),(198,1),(274,1),(288,1),(317,1),(407,1),(413,1),(479,1),(516,1)}
       119:{1,2,6,7}:{(76,1),(82,1),(92,1),(168,1),(275,1),(307,1),(404,1),(417,1),(481,1),(484,1),(524,1)}
       120:{1,3,5,6}:{(77,1),(98,1),(159,1),(171,1),(172,1),(175,1),(273,1),(296,1),(390,1),(395,1),(398,1)}
       121:{1,4,5}:{(77,1),(79,1),(99,1),(160,1),(171,1),(397,1)}
       122:{1,3,5,7}:{(77,1),(78,1),(100,1),(161,1),(174,1),(175,1),(277,1),(403,1)}
       123:{1,3,4}:{(79,1),(81,1),(101,1),(162,1),(176,1),(482,1),(485,1),(520,1)}
       124:{1,4,7}:{(79,1),(80,1),(102,1),(163,1),(177,1)}
       125:{1,3,6}:{(80,1),(82,1),(103,1),(164,1),(177,1)}
       126:{2,3,5}:{(81,1),(169,1),(176,1),(178,1),(208,1),(284,1),(322,1),(394,1),(396,1)}
       127:{3,5,6}:{(83,1),(90,1),(179,1),(181,1),(189,1),(312,1)}
       128:{2,4,5,7}:{(83,1),(85,1),(91,1),(181,1),(182,1),(184,1),(197,1),(301,1),(318,1),(415,1),(416,1)}
       129:{2,5,6}:{(84,1),(93,1),(183,1),(184,1),(284,1),(404,1)}
       130:{1,3,5,7}:{(84,1),(85,1),(86,1),(94,1),(181,1),(184,1),(185,1)}
       131:{1,4,6,7}:{(85,1),(87,1),(182,1),(185,1),(186,1),(286,1),(307,1)}
       132:{3,6,7}:{(86,1),(87,1),(385,1)}
       133:{2,5,6,7}:{(87,1),(97,1),(186,1),(187,1),(386,1),(490,1)}
       134:{2,4,5}:{(88,1),(165,1),(189,1),(207,1),(284,1),(323,1),(546,1),(552,1)}
       135:{3,4,6}:{(88,1),(90,1),(101,1),(189,1),(192,1),(312,1),(515,1),(520,1)}
       136:{2,4,7}:{(88,1),(89,1),(167,1),(192,1),(318,1),(551,1)}
       137:{2,3,6,7}:{(89,1),(92,1),(103,1),(168,1),(193,1),(196,1),(312,1),(404,1),(524,1),(526,1),(542,1)}
       138:{2,3,6}:{(90,1),(93,1),(104,1),(194,1),(195,1),(412,1)}
       139:{3,7}:{(90,1),(91,1)}
       140:{2,4,6,7}:{(91,1),(92,1),(95,1),(106,1),(196,1),(197,1),(318,1)}
       141:{1,4,6}:{(93,1),(107,1),(183,1),(194,1),(198,1)}
       142:{2,4,7}:{(93,1),(94,1),(184,1),(195,1),(198,1),(317,1)}
       143:{1,5,7}:{(95,1),(97,1),(108,1),(197,1)}
       144:{3,5,7}:{(96,1),(97,1),(109,1),(199,1)}
       145:{2,4,6}:{(98,1),(99,1),(171,1),(200,1),(201,1)}
       146:{2,3,5,7}:{(98,1),(172,1),(201,1),(202,1),(308,1),(320,1),(391,1),(399,1)}
       147:{3,4,5}:{(99,1),(101,1),(189,1),(200,1),(552,1)}
       148:{2,4,5,7}:{(99,1),(100,1),(102,1),(174,1),(201,1),(203,1),(204,1),(207,1),(320,1)}
       149:{2,3,6}:{(100,1),(175,1),(204,1),(312,1),(404,1)}
       150:{2,3,4}:{(101,1),(104,1),(176,1),(205,1),(396,1),(485,1)}
       151:{3,4,7}:{(101,1),(102,1),(105,1),(206,1),(318,1)}
       152:{2,4,6}:{(102,1),(103,1),(177,1),(206,1),(207,1)}
       153:{1,3,5}:{(104,1),(107,1),(194,1),(205,1),(208,1)}
       154:{3,6}:{(105,1),(106,1)}
       155:{2,5,6}:{(106,1),(108,1),(197,1),(207,1),(209,1)}
       156:{4,5,6}:{(109,1),(199,1),(397,1),(477,1)}
       157:{2,4,6}:{(110,1),(113,1),(115,1),(210,1),(211,1),(212,1),(444,1),(460,1),(541,1)}
       158:{2,3,5,7}:{(110,1),(116,1),(212,1),(213,1),(215,1),(229,1),(328,1),(333,1),(335,1),(346,1),(363,1),(443,1),(456,1),(513,1)}
       159:{2,5,6}:{(111,1),(120,1),(214,1),(215,1),(218,1),(441,1)}
       160:{2,4,5}:{(111,1),(113,1),(121,1),(214,1),(216,1)}
       161:{2,5,7}:{(111,1),(112,1),(122,1),(218,1)}
       162:{3,4}:{(113,1),(216,1)}
       163:{2,4,7}:{(113,1),(114,1),(124,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(125,1),(218,1),(221,1),(338,1)}
       165:{1,4,5}:{(115,1),(134,1),(210,1),(223,1),(236,1),(345,1),(539,1)}
       166:{1,3,4,6}:{(115,1),(117,1),(123,1),(135,1),(211,1),(223,1),(225,1),(226,1),(347,1)}
       167:{1,4,7}:{(115,1),(116,1),(136,1),(212,1)}
       168:{1,3,6,7}:{(116,1),(119,1),(125,1),(137,1),(213,1),(227,1),(347,1),(449,1),(509,1)}
       169:{2,3,6}:{(117,1),(126,1),(225,1),(228,1),(229,1),(257,1),(441,1)}
       170:{1,3,7}:{(117,1),(118,1),(139,1),(229,1),(335,1),(456,1),(532,1)}
       171:{1,4,6}:{(120,1),(121,1),(145,1),(214,1),(231,1),(444,1)}
       172:{1,3,5,7}:{(120,1),(146,1),(215,1),(231,1),(232,1),(335,1),(354,1),(442,1),(443,1),(445,1)}
       173:{1,3,4,5}:{(121,1),(123,1),(147,1),(216,1),(223,1),(230,1),(233,1),(324,1),(337,1),(427,1),(497,1)}
       174:{1,4,5,7}:{(121,1),(122,1),(124,1),(148,1),(217,1),(231,1),(234,1),(236,1),(354,1)}
       175:{1,3,6}:{(122,1),(149,1),(218,1),(234,1),(338,1),(449,1)}
       176:{2,4}:{(123,1),(126,1),(235,1)}
       177:{1,4,6}:{(124,1),(125,1),(152,1),(221,1),(236,1)}
       178:{1,3,5}:{(126,1),(228,1),(235,1),(237,1),(345,1),(355,1)}
       179:{3,4,6}:{(127,1),(238,1),(239,1),(240,1),(266,1)}
       180:{2,3,5,6}:{(127,1),(129,1),(138,1),(239,1),(241,1),(242,1),(250,1),(370,1),(454,1)}
       181:{3,5,7}:{(127,1),(128,1),(139,1),(240,1),(243,1)}
       182:{2,4,6,7}:{(128,1),(131,1),(243,1),(244,1),(246,1),(252,1),(365,1)}
       183:{1,5,6}:{(129,1),(141,1),(245,1),(345,1),(449,1)}
       184:{2,5,7}:{(129,1),(130,1),(142,1),(245,1),(246,1)}
       185:{1,3,6,7}:{(130,1),(131,1),(132,1),(243,1),(246,1),(347,1)}
       186:{1,5,6,7}:{(131,1),(133,1),(143,1),(244,1),(348,1),(458,1)}
       187:{3,5,6,7}:{(132,1),(133,1),(144,1),(247,1),(437,1),(513,1)}
       188:{2,4,5,6}:{(134,1),(145,1),(222,1),(248,1),(249,1),(252,1),(263,1),(342,1),(376,1),(493,1),(537,1),(550,1)}
       189:{3,5}:{(134,1),(135,1)}
       190:{2,4,5,7}:{(134,1),(136,1),(224,1),(251,1),(252,1),(256,1),(346,1),(374,1)}
       191:{2,3,4,6}:{(135,1),(138,1),(150,1),(225,1),(239,1),(250,1),(253,1),(254,1),(370,1),(438,1),(505,1),(538,1)}
       192:{3,4,7}:{(135,1),(136,1),(139,1),(251,1),(532,1)}
       193:{2,4,6,7}:{(136,1),(137,1),(152,1),(227,1),(252,1),(255,1),(256,1),(538,1)}
       194:{1,3,6}:{(138,1),(141,1),(153,1),(257,1),(258,1)}
       195:{2,3,7}:{(138,1),(139,1),(142,1),(258,1),(456,1)}
       196:{3,6,7}:{(139,1),(140,1),(154,1),(259,1)}
       197:{2,5,7}:{(140,1),(143,1),(155,1),(259,1)}
       198:{1,4,7}:{(141,1),(142,1),(245,1),(258,1)}
       199:{4,5,7}:{(144,1),(156,1),(247,1)}
       200:{3,4,6}:{(145,1),(147,1),(248,1),(260,1),(550,1)}
       201:{2,4,7}:{(145,1),(146,1),(231,1),(260,1)}
       202:{2,3,6,7}:{(146,1),(149,1),(232,1),(261,1),(366,1),(446,1)}
       203:{3,4,5,7}:{(147,1),(148,1),(151,1),(251,1),(260,1),(262,1),(265,1),(374,1),(375,1)}
       204:{2,4,6}:{(148,1),(149,1),(234,1),(262,1),(263,1)}
       205:{1,3,4}:{(150,1),(153,1),(235,1),(264,1),(355,1)}
       206:{3,4,6}:{(151,1),(152,1),(154,1),(265,1),(266,1)}
       207:{2,5}:{(152,1),(236,1),(265,1)}
       208:{2,5}:{(153,1),(257,1),(264,1)}
       209:{3,5,6}:{(154,1),(155,1),(259,1),(265,1),(266,1)}
       210:{2,4,5}:{(157,1),(165,1),(268,1),(281,1),(284,1),(397,1),(531,1),(547,1)}
       211:{3,4,6}:{(157,1),(162,1),(268,1),(271,1),(273,1),(385,1),(412,1),(485,1)}
       212:{2,4,7}:{(157,1),(158,1),(167,1),(271,1),(480,1),(530,1)}
       213:{2,3,6,7}:{(158,1),(164,1),(168,1),(272,1),(275,1),(385,1),(392,1),(404,1),(417,1),(489,1),(492,1)}
       214:{2,4,6}:{(159,1),(160,1),(171,1),(273,1),(274,1)}
       215:{2,5,7}:{(159,1),(172,1),(274,1),(275,1),(479,1)}
       216:{3,5}:{(160,1),(162,1),(273,1)}
       217:{2,4,5,7}:{(160,1),(161,1),(163,1),(174,1),(274,1),(277,1),(278,1),(281,1),(393,1),(397,1),(480,1)}
       218:{2,6}:{(161,1),(175,1)}
       219:{2,3,4}:{(162,1),(176,1),(276,1),(279,1),(322,1),(520,1)}
       220:{3,4,7}:{(162,1),(163,1),(277,1),(280,1),(480,1)}
       221:{2,4,6}:{(163,1),(164,1),(177,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(171,1),(188,1),(267,1),(282,1),(283,1),(286,1),(296,1),(398,1),(463,1),(523,1)}
       223:{1,3,5}:{(165,1),(166,1),(189,1),(268,1),(284,1)}
       224:{1,4,5,7}:{(165,1),(167,1),(190,1),(269,1),(285,1),(286,1),(289,1),(403,1)}
       225:{2,4,6}:{(166,1),(169,1),(176,1),(284,1),(287,1),(288,1),(404,1)}
       226:{1,3,4,7}:{(166,1),(167,1),(170,1),(192,1),(271,1),(285,1),(288,1)}
       227:{1,4,6,7}:{(167,1),(168,1),(177,1),(193,1),(272,1),(286,1),(289,1),(527,1)}
       228:{1,3,6}:{(169,1),(178,1),(287,1),(290,1),(291,1)}
       229:{2,3,7}:{(169,1),(170,1),(288,1),(291,1),(317,1),(479,1)}
       230:{1,3,4,6}:{(171,1),(173,1),(200,1),(273,1),(282,1),(292,1),(293,1),(377,1),(390,1),(463,1),(515,1)}
       231:{1,4,7}:{(171,1),(172,1),(201,1),(274,1),(480,1)}
       232:{1,3,6,7}:{(172,1),(175,1),(202,1),(275,1),(294,1),(392,1),(481,1)}
       233:{2,4,5}:{(173,1),(176,1),(276,1),(284,1),(292,1),(295,1),(394,1)}
       234:{1,4,6}:{(174,1),(175,1),(204,1),(278,1),(296,1)}
       235:{1,4}:{(176,1),(178,1)}
       236:{1,5}:{(177,1),(207,1),(281,1)}
       237:{1,2,5}:{(178,1),(208,1),(290,1),(297,1),(394,1)}
       238:{3,4,5}:{(179,1),(189,1),(298,1),(323,1),(520,1)}
       239:{2,4,6}:{(179,1),(180,1),(298,1),(300,1),(301,1)}
       240:{3,4,7}:{(179,1),(181,1),(301,1),(318,1)}
       241:{1,3,5,6}:{(180,1),(183,1),(194,1),(300,1),(303,1),(304,1),(310,1),(412,1),(421,1),(488,1),(529,1)}
       242:{2,3,5,7}:{(180,1),(181,1),(184,1),(195,1),(301,1),(304,1),(305,1),(415,1)}
       243:{3,6,7}:{(181,1),(182,1),(312,1)}
       244:{2,5,6,7}:{(182,1),(186,1),(197,1),(306,1),(313,1),(415,1)}
       245:{1,5,7}:{(183,1),(184,1),(198,1),(307,1)}
       246:{2,6,7}:{(184,1),(185,1),(307,1),(404,1)}
       247:{4,6,7}:{(187,1),(199,1),(477,1),(530,1)}
       248:{3,5,6}:{(188,1),(189,1),(200,1),(308,1),(312,1),(515,1)}
       249:{2,4,5,7}:{(188,1),(201,1),(283,1),(308,1),(309,1),(320,1),(399,1),(424,1),(516,1),(543,1),(551,1)}
       250:{2,3,5}:{(189,1),(191,1),(284,1),(298,1),(310,1),(546,1)}
       251:{3,5,7}:{(189,1),(190,1),(192,1),(312,1)}
       252:{2,4,6}:{(190,1),(286,1),(312,1),(313,1),(404,1),(422,1)}
       253:{1,3,4,6}:{(191,1),(194,1),(205,1),(287,1),(300,1),(310,1),(314,1),(315,1),(405,1),(412,1),(421,1),(482,1),(485,1),(527,1),(528,1)}
       254:{2,3,4,7}:{(191,1),(192,1),(195,1),(288,1),(301,1),(311,1),(315,1),(478,1),(525,1)}
       255:{3,4,6,7}:{(192,1),(193,1),(196,1),(206,1),(312,1),(316,1),(318,1),(422,1),(542,1),(544,1),(551,1)}
       256:{2,5,7}:{(193,1),(207,1),(289,1),(313,1),(316,1),(546,1)}
       257:{2,6}:{(194,1),(208,1),(317,1)}
       258:{1,3,7}:{(194,1),(195,1),(198,1),(317,1)}
       259:{3,5,7}:{(196,1),(197,1),(209,1),(318,1)}
       260:{3,4,7}:{(200,1),(201,1),(308,1),(551,1)}
       261:{2,4,6,7}:{(201,1),(202,1),(204,1),(294,1),(319,1),(320,1)}
       262:{3,4,6}:{(203,1),(204,1),(312,1),(321,1),(422,1)}
       263:{2,5,6}:{(204,1),(207,1),(296,1),(320,1),(321,1)}
       264:{2,4}:{(205,1),(208,1),(322,1)}
       265:{3,5}:{(206,1),(207,1),(323,1)}
       266:{4,6}:{(209,1),(318,1),(323,1)}
       267:{2,4,5,6}:{(210,1),(214,1),(222,1),(325,1),(326,1),(329,1),(339,1),(342,1),(425,1),(444,1),(500,1),(501,1)}
       268:{3,5}:{(210,1),(211,1)}
       269:{2,4,5,7}:{(210,1),(212,1),(224,1),(328,1),(329,1),(333,1),(346,1),(440,1)}
       270:{2,3,4,6}:{(211,1),(219,1),(225,1),(327,1),(330,1),(331,1),(334,1),(372,1),(425,1),(436,1),(460,1),(514,1)}
       271:{3,4,7}:{(211,1),(212,1),(328,1),(335,1),(456,1)}
       272:{2,4,6,7}:{(212,1),(213,1),(221,1),(227,1),(329,1),(332,1),(333,1),(514,1)}
       273:{3,6}:{(214,1),(216,1),(335,1)}
       274:{2,4,7}:{(214,1),(215,1),(231,1),(335,1)}
       275:{2,6,7}:{(215,1),(218,1),(232,1)}
       276:{2,3,5}:{(216,1),(219,1),(233,1),(334,1),(337,1),(497,1)}
       277:{3,5,7}:{(216,1),(217,1),(220,1),(335,1),(338,1),(341,1)}
       278:{2,4,6}:{(217,1),(218,1),(234,1),(338,1),(339,1),(444,1)}
       279:{1,3,4}:{(219,1),(235,1),(337,1),(340,1),(355,1)}
       280:{3,4,6}:{(220,1),(221,1),(338,1),(341,1),(444,1)}
       281:{2,5}:{(221,1),(236,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(230,1),(248,1),(325,1),(342,1),(343,1),(347,1)}
       283:{1,4,5,7}:{(222,1),(231,1),(249,1),(326,1),(343,1),(344,1),(354,1),(445,1),(494,1),(534,1)}
       284:{2,5}:{(223,1),(225,1),(345,1)}
       285:{1,3,5,7}:{(223,1),(224,1),(226,1),(251,1),(328,1),(346,1),(347,1)}
       286:{1,4,6}:{(224,1),(252,1),(329,1),(347,1),(348,1),(449,1)}
       287:{1,4,6}:{(225,1),(228,1),(235,1),(345,1),(350,1),(449,1)}
       288:{2,4,7}:{(225,1),(226,1),(229,1),(346,1),(350,1)}
       289:{1,5,7}:{(227,1),(236,1),(256,1),(333,1),(348,1),(539,1)}
       290:{1,2,6}:{(228,1),(237,1),(257,1),(351,1),(441,1)}
       291:{1,3,7}:{(228,1),(229,1),(350,1),(351,1)}
       292:{2,4,6}:{(230,1),(233,1),(334,1),(342,1),(352,1),(353,1),(441,1)}
       293:{1,3,4,7}:{(230,1),(231,1),(260,1),(335,1),(343,1),(353,1),(426,1),(442,1),(494,1),(532,1)}
       294:{1,4,6,7}:{(231,1),(232,1),(234,1),(261,1),(336,1),(354,1)}
       295:{1,4,5}:{(233,1),(235,1),(337,1),(345,1),(352,1)}
       296:{1,5,6}:{(234,1),(236,1),(263,1),(339,1),(354,1)}
       297:{1,2,4}:{(235,1),(237,1),(264,1),(340,1),(355,1)}
       298:{2,4,5}:{(238,1),(239,1),(250,1),(356,1),(505,1)}
       299:{3,4,5,7}:{(238,1),(240,1),(251,1),(357,1),(358,1),(362,1),(374,1),(535,1),(549,1)}
       300:{1,4,6}:{(239,1),(241,1),(356,1),(359,1),(360,1),(541,1)}
       301:{2,4,7}:{(239,1),(240,1),(242,1),(360,1)}
       302:{3,4,6,7}:{(240,1),(243,1),(358,1),(361,1),(362,1),(365,1)}
       303:{2,5,6}:{(241,1),(257,1),(359,1),(363,1),(368,1),(462,1)}
       304:{1,3,5,7}:{(241,1),(242,1),(245,1),(258,1),(360,1),(363,1),(364,1),(456,1),(458,1),(513,1)}
       305:{2,3,6,7}:{(242,1),(243,1),(246,1),(361,1),(364,1),(370,1)}
       306:{3,5,6,7}:{(243,1),(244,1),(259,1),(362,1),(365,1),(371,1)}
       307:{1,6,7}:{(245,1),(246,1),(449,1)}
       308:{3,5,7}:{(248,1),(249,1),(260,1),(366,1),(532,1)}
       309:{2,4,6,7}:{(249,1),(252,1),(344,1),(366,1),(367,1),(446,1),(459,1)}
       310:{1,3,5}:{(250,1),(253,1),(345,1),(356,1),(368,1),(451,1),(539,1),(540,1)}
       311:{2,3,5,7}:{(250,1),(251,1),(254,1),(346,1),(357,1),(369,1),(370,1)}
       312:{3,6}:{(251,1),(252,1)}
       313:{2,5,6}:{(252,1),(256,1),(348,1),(371,1)}
       314:{2,4,6}:{(253,1),(257,1),(264,1),(368,1),(372,1),(373,1),(460,1),(462,1)}
       315:{1,3,4,7}:{(253,1),(254,1),(258,1),(350,1),(360,1),(369,1),(373,1),(450,1),(456,1),(508,1),(510,1)}
       316:{3,5,7}:{(255,1),(256,1),(265,1),(371,1),(374,1),(549,1)}
       317:{2,7}:{(257,1),(258,1)}
       318:{4,7}:{(259,1),(266,1)}
       319:{3,4,6,7}:{(260,1),(261,1),(262,1),(366,1),(375,1),(459,1)}
       320:{2,5,7}:{(261,1),(263,1),(354,1),(375,1)}
       321:{3,5,6}:{(262,1),(263,1),(265,1),(375,1),(376,1)}
       322:{2,3}:{(264,1),(355,1)}
       323:{4,5}:{(265,1),(266,1)}
       324:{3,4,5}:{(268,1),(377,1),(378,1),(397,1),(485,1)}
       325:{3,5,6}:{(267,1),(268,1),(273,1),(377,1),(381,1),(385,1)}
       326:{2,4,5,7}:{(267,1),(274,1),(283,1),(381,1),(382,1),(393,1),(399,1),(464,1),(480,1),(518,1),(519,1)}
       327:{2,3,5}:{(268,1),(270,1),(284,1),(378,1),(383,1),(531,1)}
       328:{3,5,7}:{(268,1),(269,1),(271,1),(385,1)}
       329:{2,4,6}:{(269,1),(286,1),(385,1),(386,1),(404,1),(477,1)}
       330:{1,3,4,6}:{(270,1),(279,1),(287,1),(383,1),(387,1),(388,1),(390,1),(405,1),(463,1),(476,1),(482,1),(515,1),(520,1),(527,1),(544,1)}
       331:{2,3,4,7}:{(270,1),(271,1),(288,1),(384,1),(388,1),(391,1),(423,1),(464,1),(491,1)}
       332:{3,4,6,7}:{(271,1),(272,1),(280,1),(385,1),(389,1),(392,1),(477,1),(480,1),(489,1),(528,1),(530,1)}
       333:{2,5,7}:{(272,1),(281,1),(289,1),(386,1),(389,1),(531,1)}
       334:{2,3,6}:{(273,1),(276,1),(292,1),(390,1),(391,1),(515,1)}
       335:{3,7}:{(273,1),(274,1)}
       336:{2,4,6,7}:{(274,1),(275,1),(278,1),(294,1),(392,1),(393,1),(480,1)}
       337:{1,3,5}:{(276,1),(279,1),(295,1),(390,1),(394,1)}
       338:{3,6}:{(277,1),(278,1)}
       339:{2,5,6}:{(278,1),(281,1),(296,1),(393,1),(395,1)}
       340:{2,4}:{(279,1),(394,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(292,1),(398,1),(399,1),(404,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(293,1),(308,1),(381,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(286,1),(309,1),(382,1),(400,1),(401,1),(481,1)}
       345:{1,5}:{(284,1),(287,1)}
       346:{2,5,7}:{(284,1),(285,1),(288,1),(403,1),(404,1)}
       347:{1,3,6}:{(285,1),(286,1),(312,1),(385,1),(404,1)}
       348:{1,5,6}:{(286,1),(289,1),(313,1),(386,1)}
       349:{1,2,4,6}:{(287,1),(290,1),(297,1),(314,1),(387,1),(402,1),(405,1),(406,1),(482,1),(484,1),(527,1)}
       350:{1,4,7}:{(287,1),(288,1),(291,1),(403,1)}
       351:{1,2,7}:{(290,1),(291,1),(317,1),(479,1)}
       352:{1,4,6}:{(292,1),(295,1),(390,1),(398,1),(407,1)}
       353:{2,4,7}:{(292,1),(293,1),(391,1),(399,1),(407,1),(479,1)}
       354:{1,5,7}:{(294,1),(296,1),(320,1),(393,1)}
       355:{1,3}:{(297,1),(322,1),(396,1)}
       356:{1,4,5}:{(298,1),(300,1),(310,1),(408,1),(482,1),(547,1)}
       357:{2,4,5,7}:{(298,1),(299,1),(301,1),(311,1),(409,1),(410,1),(415,1),(525,1),(546,1)}
       358:{3,4,6}:{(299,1),(312,1),(410,1),(411,1),(422,1)}
       359:{2,4,6}:{(300,1),(303,1),(408,1),(412,1),(413,1)}
       360:{1,4,7}:{(300,1),(301,1),(304,1),(413,1),(530,1)}
       361:{2,4,6,7}:{(301,1),(302,1),(305,1),(410,1),(414,1),(415,1)}
       362:{3,5,7}:{(302,1),(411,1),(415,1),(416,1)}
       363:{2,5,7}:{(303,1),(304,1),(317,1),(413,1),(417,1)}
       364:{1,3,6,7}:{(304,1),(305,1),(307,1),(414,1),(417,1),(421,1),(489,1)}
       365:{4,6,7}:{(306,1),(318,1),(416,1),(422,1)}
       366:{3,6,7}:{(308,1),(309,1),(312,1)}
       367:{2,5,6,7}:{(309,1),(313,1),(320,1),(401,1),(418,1),(543,1)}
       368:{2,5}:{(310,1),(314,1)}
       369:{1,3,5,7}:{(310,1),(311,1),(315,1),(403,1),(409,1),(420,1),(421,1),(486,1)}
       370:{2,3,6}:{(311,1),(312,1),(404,1),(410,1),(421,1)}
       371:{3,5,6}:{(312,1),(313,1),(316,1),(422,1)}
       372:{2,3,6}:{(314,1),(322,1),(405,1),(412,1),(419,1),(423,1)}
       373:{2,4,7}:{(314,1),(315,1),(317,1),(420,1),(423,1)}
       374:{4,5,7}:{(316,1),(318,1),(323,1),(422,1),(551,1),(552,1)}
       375:{3,5,7}:{(319,1),(320,1),(321,1),(424,1)}
       376:{4,5,6}:{(321,1),(323,1),(422,1),(424,1)}
       377:{3,4,6}:{(324,1),(325,1),(425,1),(426,1),(444,1)}
       378:{2,4,5}:{(324,1),(327,1),(425,1),(427,1),(460,1)}
       379:{3,4,5,7}:{(324,1),(328,1),(426,1),(428,1),(429,1),(440,1),(496,1),(510,1),(540,1)}
       380:{2,3,5,6}:{(325,1),(327,1),(334,1),(342,1),(425,1),(430,1),(431,1),(436,1),(500,1)}
       381:{3,5,7}:{(325,1),(326,1),(335,1),(426,1),(432,1)}
       382:{2,4,6,7}:{(326,1),(329,1),(344,1),(432,1),(433,1),(446,1),(504,1)}
       383:{1,3,5}:{(327,1),(330,1),(345,1),(427,1),(434,1),(497,1),(539,1),(549,1)}
       384:{2,3,5,7}:{(327,1),(328,1),(331,1),(346,1),(428,1),(435,1),(436,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(333,1),(348,1),(437,1)}
       387:{2,4,6}:{(330,1),(340,1),(434,1),(438,1),(439,1),(441,1),(505,1),(507,1)}
       388:{1,3,4,7}:{(330,1),(331,1),(350,1),(435,1),(439,1),(442,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       389:{3,5,7}:{(332,1),(333,1),(341,1),(437,1),(440,1),(540,1)}
       390:{1,3,6}:{(334,1),(337,1),(352,1),(441,1),(442,1)}
       391:{2,3,7}:{(334,1),(335,1),(353,1),(442,1),(532,1)}
       392:{3,6,7}:{(335,1),(336,1),(338,1),(443,1)}
       393:{2,5,7}:{(336,1),(339,1),(354,1),(443,1)}
       394:{2,5}:{(337,1),(340,1),(441,1)}
       395:{3,5,6}:{(338,1),(339,1),(341,1),(443,1),(444,1)}
       396:{2,3}:{(340,1),(355,1)}
       397:{4,5}:{(341,1),(444,1)}
       398:{1,5,6}:{(342,1),(345,1),(352,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(353,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(347,1),(366,1),(432,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(348,1),(354,1),(367,1),(433,1),(534,1)}
       402:{1,2,5}:{(345,1),(349,1),(368,1),(434,1),(447,1),(539,1)}
       403:{1,5,7}:{(345,1),(346,1),(350,1),(449,1)}
       404:{2,6}:{(346,1),(347,1),(449,1)}
       405:{1,3,6}:{(349,1),(355,1),(372,1),(438,1),(447,1),(450,1)}
       406:{1,2,4,7}:{(349,1),(350,1),(351,1),(373,1),(439,1),(448,1),(450,1),(508,1)}
       407:{1,4,7}:{(352,1),(353,1),(442,1),(445,1)}
       408:{2,4,5}:{(356,1),(359,1),(368,1),(451,1),(460,1)}
       409:{1,4,5,7}:{(356,1),(357,1),(360,1),(369,1),(452,1),(453,1),(458,1),(508,1),(539,1)}
       410:{2,4,6}:{(357,1),(358,1),(370,1),(453,1),(454,1)}
       411:{3,5,6}:{(358,1),(362,1),(454,1),(455,1),(549,1)}
       412:{3,6}:{(359,1),(451,1),(456,1)}
       413:{2,4,7}:{(359,1),(360,1),(363,1),(456,1)}
       414:{1,4,6,7}:{(360,1),(361,1),(364,1),(453,1),(457,1),(458,1)}
       415:{2,5,7}:{(361,1),(362,1),(454,1),(458,1)}
       416:{4,5,7}:{(362,1),(365,1),(455,1)}
       417:{2,6,7}:{(363,1),(364,1),(462,1)}
       418:{3,5,6,7}:{(366,1),(367,1),(371,1),(375,1),(459,1),(548,1)}
       419:{2,3,5}:{(368,1),(372,1),(447,1),(451,1),(460,1)}
       420:{2,5,7}:{(368,1),(369,1),(373,1),(462,1)}
       421:{1,3,6}:{(369,1),(370,1),(449,1),(453,1),(462,1),(511,1)}
       422:{4,6}:{(371,1),(374,1)}
       423:{2,3,7}:{(372,1),(373,1),(450,1),(456,1)}
       424:{4,5,7}:{(375,1),(376,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(380,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(381,1),(464,1),(480,1)}
       427:{1,4,5}:{(378,1),(383,1),(463,1),(466,1),(482,1),(552,1)}
       428:{2,4,5,7}:{(378,1),(379,1),(384,1),(464,1),(467,1),(468,1),(491,1),(518,1),(531,1)}
       429:{3,4,6}:{(379,1),(385,1),(468,1),(469,1),(477,1)}
       430:{1,3,5,6}:{(380,1),(383,1),(390,1),(398,1),(463,1),(470,1),(471,1),(476,1),(515,1),(523,1),(545,1)}
       431:{2,3,5,7}:{(380,1),(381,1),(391,1),(399,1),(464,1),(471,1),(472,1),(518,1)}
       432:{3,6,7}:{(381,1),(382,1),(385,1)}
       433:{2,5,6,7}:{(382,1),(386,1),(393,1),(401,1),(473,1),(518,1)}
       434:{2,5}:{(383,1),(387,1)}
       435:{1,3,5,7}:{(383,1),(384,1),(388,1),(403,1),(467,1),(475,1),(476,1),(521,1)}
       436:{2,3,6}:{(384,1),(385,1),(404,1),(468,1),(476,1)}
       437:{3,5,6}:{(385,1),(386,1),(389,1),(477,1)}
       438:{2,3,6}:{(387,1),(396,1),(405,1),(474,1),(478,1),(515,1)}
       439:{2,4,7}:{(387,1),(388,1),(475,1),(478,1),(479,1)}
       440:{4,5,7}:{(389,1),(397,1),(477,1),(480,1),(530,1),(547,1)}
       441:{2,6}:{(390,1),(394,1),(479,1)}
       442:{1,3,7}:{(390,1),(391,1),(407,1),(479,1)}
       443:{3,5,7}:{(392,1),(393,1),(395,1),(480,1)}
       444:{4,6}:{(395,1),(397,1),(480,1)}
       445:{1,5,7}:{(398,1),(399,1),(407,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(404,1),(481,1)}
       447:{1,3,5}:{(402,1),(405,1),(419,1),(474,1),(482,1)}
       448:{1,2,5,7}:{(402,1),(403,1),(406,1),(420,1),(475,1),(483,1),(484,1)}
       449:{1,6}:{(403,1),(404,1)}
       450:{1,3,7}:{(405,1),(406,1),(423,1),(478,1)}
       451:{3,5}:{(408,1),(412,1),(485,1)}
       452:{2,4,5,7}:{(408,1),(409,1),(413,1),(420,1),(486,1),(487,1),(490,1),(491,1),(530,1),(531,1),(547,1)}
       453:{1,4,6}:{(409,1),(410,1),(421,1),(487,1),(488,1)}
       454:{2,5,6}:{(410,1),(411,1),(415,1),(488,1),(546,1)}
       455:{4,5,6}:{(411,1),(416,1),(422,1),(552,1)}
       456:{3,7}:{(412,1),(413,1)}
       457:{2,4,6,7}:{(413,1),(414,1),(417,1),(487,1),(489,1),(490,1),(530,1)}
       458:{1,5,7}:{(414,1),(415,1),(488,1),(490,1)}
       459:{4,6,7}:{(418,1),(422,1),(424,1),(551,1)}
       460:{2,4}:{(419,1),(482,1),(485,1)}
       461:{2,3,5,7}:{(419,1),(420,1),(423,1),(483,1),(486,1),(491,1),(492,1),(531,1)}
       462:{2,6}:{(420,1),(421,1)}
       463:{1,4,6}:{(425,1),(427,1),(430,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(431,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(432,1),(495,1),(496,1),(504,1)}
       466:{2,4,5}:{(427,1),(434,1),(493,1),(497,1),(505,1)}
       467:{1,4,5,7}:{(427,1),(428,1),(435,1),(494,1),(498,1),(499,1),(508,1),(534,1),(539,1)}
       468:{2,4,6}:{(428,1),(429,1),(436,1),(499,1),(500,1)}
       469:{3,5,6}:{(429,1),(496,1),(500,1),(501,1),(540,1)}
       470:{2,5,6}:{(430,1),(434,1),(441,1),(493,1),(502,1),(507,1)}
       471:{1,3,5,7}:{(430,1),(431,1),(442,1),(445,1),(494,1),(502,1),(503,1),(532,1),(534,1),(548,1)}
       472:{2,3,6,7}:{(431,1),(432,1),(436,1),(446,1),(495,1),(503,1)}
       473:{3,5,6,7}:{(432,1),(433,1),(437,1),(443,1),(496,1),(504,1)}
       474:{2,3,5}:{(434,1),(438,1),(447,1),(497,1),(505,1)}
       475:{2,5,7}:{(434,1),(435,1),(439,1),(507,1)}
       476:{1,3,6}:{(435,1),(436,1),(449,1),(499,1),(507,1),(536,1)}
       477:{4,6}:{(437,1),(440,1)}
       478:{2,3,7}:{(438,1),(439,1),(450,1),(532,1)}
       479:{2,7}:{(441,1),(442,1)}
       480:{4,7}:{(443,1),(444,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(460,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(461,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(462,1),(507,1),(509,1)}
       485:{3,4}:{(451,1),(460,1)}
       486:{3,5,7}:{(451,1),(452,1),(456,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(452,1),(453,1),(462,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(453,1),(454,1),(458,1),(512,1),(539,1)}
       489:{3,6,7}:{(456,1),(457,1),(511,1),(513,1)}
       490:{2,5,7}:{(457,1),(458,1),(512,1),(513,1)}
       491:{2,4,7}:{(460,1),(461,1),(508,1),(510,1),(514,1)}
       492:{2,3,6}:{(461,1),(462,1),(509,1),(511,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(470,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(471,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(472,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(469,1),(518,1),(519,1)}
       497:{3,5}:{(466,1),(515,1),(520,1)}
       498:{2,4,5,7}:{(466,1),(467,1),(475,1),(516,1),(521,1),(522,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       499:{1,4,6}:{(467,1),(468,1),(476,1),(522,1),(523,1)}
       500:{2,5,6}:{(468,1),(469,1),(518,1),(523,1),(531,1)}
       501:{4,5,6}:{(469,1),(477,1),(519,1),(547,1)}
       502:{2,5,7}:{(470,1),(471,1),(479,1),(516,1),(524,1)}
       503:{1,3,6,7}:{(471,1),(472,1),(476,1),(481,1),(517,1),(524,1),(542,1)}
       504:{4,6,7}:{(473,1),(477,1),(480,1),(519,1)}
       505:{2,4}:{(474,1),(482,1),(520,1)}
       506:{2,3,5,7}:{(474,1),(475,1),(478,1),(483,1),(521,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(475,1),(476,1)}
       508:{1,4,7}:{(482,1),(483,1),(491,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(492,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(491,1),(528,1),(530,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(490,1),(529,1),(531,1)}
       513:{3,5,7}:{(489,1),(490,1),(529,1),(530,1)}
       514:{2,4,6}:{(491,1),(492,1),(527,1),(528,1),(531,1)}
       515:{3,6}:{(493,1),(497,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(499,1),(503,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(500,1),(534,1)}
       519:{4,5,7}:{(496,1),(501,1),(504,1)}
       520:{3,4}:{(497,1),(505,1)}
       521:{3,5,7}:{(497,1),(498,1),(532,1),(535,1),(536,1),(549,1)}
       522:{2,4,6}:{(498,1),(499,1),(507,1),(536,1),(537,1),(550,1)}
       523:{1,5,6}:{(499,1),(500,1),(534,1),(537,1),(539,1)}
       524:{2,6,7}:{(502,1),(503,1),(507,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(514,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(514,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       530:{4,7}:{(513,1),(541,1)}
       531:{2,5}:{(514,1),(539,1),(540,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(522,1),(524,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(523,1),(543,1)}
       535:{3,4,7}:{(520,1),(521,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{2,5,6}:{(522,1),(523,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{3,5}:{(528,1),(531,1),(547,1)}
       541:{4,6}:{(529,1),(530,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 395 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(65,1),(107,1),(239,1),(307,1),(319,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(32,1),(44,1),(101,1),(148,1),(248,1),(352,1),(358,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(358,1),(370,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(75,1),(83,1),(99,1),(186,1),(294,1),(372,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(150,1),(155,1),(187,1),(193,1),(254,1),(265,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(24,1),(55,1),(65,1),(107,1),(199,1)}
         6:{3,4,6}:{(1,1),(14,1),(16,1),(398,1),(404,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(17,1),(18,1),(23,1),(51,1),(417,1)}
         8:{2,3,6}:{(2,1),(14,1),(18,1),(404,1),(416,1)}
         9:{2,4,7}:{(3,1),(17,1),(21,1),(22,1),(347,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(18,1),(22,1),(23,1),(49,1),(64,1),(113,1),(120,1),(123,1),(139,1),(145,1),(240,1),(244,1),(320,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(199,1),(306,1),(318,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(75,1),(372,1),(374,1)}
        13:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(43,1),(75,1),(87,1),(99,1),(158,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(29,1),(31,1)}
        15:{3,4,6,7}:{(6,1),(30,1),(32,1),(92,1),(101,1),(179,1)}
        16:{3,5,6}:{(6,1),(31,1),(32,1),(33,1),(248,1)}
        17:{2,5,7}:{(7,1),(9,1),(35,1),(42,1)}
        18:{1,3,6}:{(7,1),(8,1),(29,1),(35,1),(84,1),(454,1)}
        19:{2,3,6,7}:{(8,1),(30,1),(36,1),(38,1),(179,1),(284,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(31,1),(37,1),(38,1),(39,1),(91,1),(178,1),(187,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(186,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(158,1),(170,1),(371,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(17,1),(46,1),(47,1),(50,1),(109,1),(417,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(113,1),(120,1),(320,1),(322,1),(326,1)}
        28:{2,4,5,7}:{(13,1),(17,1),(51,1),(52,1),(59,1),(70,1),(126,1),(135,1),(138,1),(222,1),(224,1)}
        29:{1,4,6}:{(13,1),(14,1),(18,1),(52,1),(54,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(55,1),(65,1)}
        31:{2,5,6}:{(14,1),(16,1),(54,1),(55,1),(199,1)}
        32:{3,5,7}:{(15,1),(16,1),(55,1),(58,1)}
        33:{4,5,6}:{(16,1),(58,1),(301,1),(398,1)}
        34:{2,3,5,7}:{(17,1),(21,1),(46,1),(51,1),(59,1),(60,1),(69,1),(135,1)}
        35:{2,6}:{(17,1),(18,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(53,1),(61,1),(63,1),(124,1),(339,1)}
        37:{1,3,5,6}:{(18,1),(20,1),(23,1),(54,1),(62,1),(63,1),(64,1),(125,1),(139,1),(231,1),(240,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(55,1),(63,1),(65,1),(132,1),(230,1),(239,1)}
        39:{2,4,6}:{(20,1),(24,1),(64,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(59,1),(67,1),(68,1),(237,1),(242,1),(319,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(139,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(64,1),(70,1),(120,1),(222,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(306,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(34,1),(72,1),(75,1),(76,1),(81,1),(158,1)}
        47:{1,2,6}:{(25,1),(35,1),(76,1),(153,1),(454,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(75,1),(79,1),(80,1),(148,1),(268,1),(362,1),(372,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(158,1),(371,1)}
        51:{3,5,7}:{(28,1),(83,1),(84,1),(105,1),(170,1),(186,1)}
        52:{2,4,6}:{(28,1),(29,1),(35,1),(84,1),(86,1),(172,1)}
        53:{1,4,6,7}:{(29,1),(30,1),(36,1),(85,1),(87,1),(99,1)}
        54:{1,5,6}:{(29,1),(31,1),(86,1),(87,1),(158,1)}
        55:{2,5,7}:{(30,1),(31,1),(32,1),(87,1)}
        56:{2,4,5,6}:{(31,1),(33,1),(39,1),(88,1),(90,1),(91,1),(178,1),(252,1),(357,1),(386,1),(511,1),(540,1)}
        57:{3,5,6,7}:{(32,1),(89,1),(92,1),(179,1),(351,1),(514,1)}
        58:{4,5,7}:{(32,1),(33,1),(92,1)}
        59:{2,4,7}:{(34,1),(75,1),(83,1),(94,1),(104,1)}
        60:{2,3,6}:{(34,1),(35,1),(76,1),(84,1),(94,1)}
        61:{2,6,7}:{(35,1),(36,1),(97,1)}
        62:{2,5,6}:{(35,1),(37,1),(42,1),(97,1),(98,1),(295,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(87,1),(97,1),(99,1),(171,1),(186,1),(285,1),(294,1)}
        64:{1,4,6}:{(37,1),(39,1),(43,1),(98,1),(99,1),(172,1)}
        65:{2,4,7}:{(38,1),(39,1),(99,1),(101,1)}
        66:{3,4,6}:{(39,1),(44,1),(91,1),(101,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(93,1),(102,1),(103,1),(290,1),(370,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(94,1),(102,1),(103,1),(104,1),(185,1),(191,1),(258,1),(265,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(98,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(100,1),(105,1),(106,1),(166,1),(194,1),(263,1),(277,1),(382,1),(461,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(199,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,4,7}:{(46,1),(59,1),(107,1),(113,1),(120,1)}
        76:{1,3,6}:{(46,1),(47,1),(60,1),(108,1),(113,1)}
        77:{1,2,6,7}:{(47,1),(61,1),(114,1),(116,1),(202,1),(339,1),(416,1),(430,1),(484,1),(485,1),(524,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(62,1),(115,1),(116,1),(117,1),(203,1),(231,1),(318,1),(322,1),(338,1),(415,1),(416,1),(418,1),(478,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(112,1),(118,1),(119,1),(195,1),(417,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(113,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(320,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(209,1),(217,1),(245,1),(318,1),(325,1),(326,1),(411,1),(418,1),(425,1),(475,1),(487,1)}
        83:{3,4,7}:{(51,1),(59,1),(123,1),(145,1),(224,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,4,6,7}:{(52,1),(53,1),(61,1),(124,1),(126,1),(138,1),(224,1)}
        86:{2,5,6}:{(52,1),(54,1),(125,1),(126,1),(135,1)}
        87:{1,5,7}:{(53,1),(54,1),(55,1),(126,1)}
        88:{1,4,5,6}:{(54,1),(56,1),(64,1),(127,1),(129,1),(130,1),(209,1),(231,1),(316,1),(335,1),(488,1)}
        89:{2,5,6,7}:{(55,1),(57,1),(128,1),(131,1),(304,1),(492,1)}
        90:{2,4,5,7}:{(55,1),(56,1),(58,1),(65,1),(129,1),(131,1),(132,1),(230,1),(428,1),(492,1),(530,1)}
        91:{3,5,6}:{(56,1),(66,1),(132,1),(306,1),(404,1),(429,1)}
        92:{4,6,7}:{(57,1),(58,1),(398,1),(530,1)}
        93:{2,4,5,7}:{(59,1),(67,1),(112,1),(122,1),(133,1),(135,1),(144,1),(232,1),(242,1)}
        94:{2,4,6}:{(59,1),(60,1),(113,1),(123,1),(135,1)}
        95:{2,3,6,7}:{(60,1),(61,1),(114,1),(124,1),(134,1),(136,1),(342,1),(416,1),(524,1),(525,1),(543,1)}
        96:{2,3,5,6}:{(60,1),(62,1),(69,1),(115,1),(125,1),(135,1),(136,1),(137,1),(139,1),(213,1),(234,1),(236,1),(318,1),(342,1),(416,1),(478,1),(481,1),(519,1),(525,1),(544,1),(546,1)}
        97:{2,5,7}:{(61,1),(62,1),(63,1),(138,1),(347,1)}
        98:{2,4,6}:{(62,1),(64,1),(70,1),(138,1),(139,1)}
        99:{1,4,7}:{(63,1),(64,1),(65,1),(138,1),(224,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(71,1),(130,1),(139,1),(140,1),(141,1),(225,1),(240,1),(335,1),(429,1)}
       101:{3,4,7}:{(65,1),(66,1),(132,1),(530,1)}
       102:{2,3,6}:{(67,1),(118,1),(133,1),(342,1),(416,1)}
       103:{2,3,5}:{(68,1),(119,1),(135,1),(144,1),(236,1),(318,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(139,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(318,1)}
       107:{2,4,7}:{(72,1),(75,1),(148,1),(150,1),(155,1)}
       108:{2,3,6}:{(72,1),(76,1),(150,1),(153,1),(246,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,4,5,7}:{(75,1),(79,1),(93,1),(149,1),(156,1),(158,1),(165,1),(259,1),(268,1)}
       113:{1,4,6}:{(75,1),(76,1),(94,1),(150,1),(158,1)}
       114:{1,3,6,7}:{(76,1),(77,1),(95,1),(151,1),(157,1),(159,1),(369,1),(454,1),(509,1)}
       115:{1,3,5,6}:{(76,1),(78,1),(81,1),(96,1),(152,1),(158,1),(159,1),(160,1),(162,1),(261,1),(263,1),(267,1),(369,1),(371,1),(454,1),(456,1),(509,1),(539,1)}
       116:{1,2,5,7}:{(77,1),(78,1),(97,1),(159,1),(161,1),(255,1),(285,1),(370,1),(374,1),(388,1),(453,1),(505,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(98,1),(160,1),(161,1),(162,1),(189,1),(256,1),(265,1),(295,1),(376,1),(386,1),(451,1),(499,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(156,1),(246,1),(454,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(158,1),(165,1),(248,1),(257,1),(371,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(461,1),(503,1)}
       122:{3,4,5,7}:{(83,1),(93,1),(168,1),(170,1),(192,1),(273,1),(276,1),(290,1),(296,1)}
       123:{3,4,6}:{(83,1),(84,1),(94,1),(170,1),(172,1)}
       124:{3,6,7}:{(84,1),(85,1),(171,1),(186,1)}
       125:{3,5,6}:{(84,1),(86,1),(170,1),(171,1),(172,1)}
       126:{2,5,7}:{(85,1),(86,1),(87,1),(171,1)}
       127:{2,4,5,6}:{(86,1),(88,1),(98,1),(172,1),(174,1),(175,1),(178,1),(183,1),(280,1),(289,1),(379,1),(458,1)}
       128:{1,5,6,7}:{(87,1),(89,1),(173,1),(176,1),(261,1),(462,1)}
       129:{1,4,5,7}:{(87,1),(88,1),(90,1),(99,1),(174,1),(176,1),(177,1),(285,1),(385,1),(462,1)}
       130:{1,3,5,6}:{(88,1),(91,1),(100,1),(175,1),(177,1),(178,1),(263,1),(369,1)}
       131:{2,4,6,7}:{(89,1),(90,1),(92,1),(176,1),(179,1),(284,1),(357,1)}
       132:{3,5,7}:{(90,1),(91,1),(101,1),(179,1),(464,1)}
       133:{2,4,6}:{(93,1),(102,1),(156,1),(168,1),(181,1)}
       134:{2,4,6,7}:{(94,1),(95,1),(157,1),(169,1),(182,1),(184,1),(289,1),(538,1)}
       135:{2,5}:{(94,1),(158,1),(170,1)}
       136:{2,3,5,7}:{(95,1),(96,1),(97,1),(159,1),(171,1),(182,1),(184,1),(186,1),(266,1),(290,1),(370,1),(505,1),(534,1),(548,1)}
       137:{2,4,6}:{(96,1),(104,1),(160,1),(172,1),(183,1),(184,1),(185,1),(508,1),(549,1)}
       138:{2,4,7}:{(97,1),(98,1),(99,1),(186,1)}
       139:{3,6}:{(98,1),(105,1),(186,1)}
       140:{1,3,4,7}:{(99,1),(100,1),(101,1),(177,1),(186,1),(188,1),(279,1),(294,1),(385,1),(464,1)}
       141:{2,4,6}:{(100,1),(106,1),(178,1),(187,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(180,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(181,1),(190,1),(191,1),(288,1),(363,1),(368,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(187,1),(193,1),(194,1),(461,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(371,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(396,1)}
       149:{2,4,5,7}:{(107,1),(109,1),(112,1),(195,1),(197,1),(199,1),(204,1),(301,1),(302,1),(309,1),(396,1)}
       150:{2,4,6}:{(107,1),(108,1),(113,1),(196,1),(199,1)}
       151:{2,3,6,7}:{(108,1),(114,1),(198,1),(200,1),(202,1),(298,1),(404,1),(416,1),(430,1),(493,1),(494,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(115,1),(199,1),(200,1),(201,1),(203,1),(213,1),(299,1),(304,1),(306,1),(310,1),(318,1),(338,1),(404,1),(416,1),(429,1),(433,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6}:{(112,1),(118,1),(133,1),(197,1),(207,1)}
       157:{1,4,6,7}:{(113,1),(114,1),(134,1),(198,1),(208,1),(210,1),(316,1),(527,1)}
       158:{1,5}:{(113,1),(135,1),(199,1)}
       159:{1,3,5,7}:{(114,1),(115,1),(116,1),(136,1),(200,1),(208,1),(210,1),(212,1),(321,1),(417,1)}
       160:{1,4,6}:{(115,1),(120,1),(137,1),(201,1),(209,1),(210,1),(487,1)}
       161:{1,2,4,7}:{(116,1),(117,1),(138,1),(210,1),(212,1),(241,1),(309,1),(319,1),(347,1),(421,1),(428,1),(483,1),(518,1)}
       162:{1,3,6}:{(117,1),(121,1),(139,1),(212,1),(213,1),(310,1),(429,1),(519,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(206,1),(214,1),(298,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(207,1),(214,1),(215,1),(299,1),(310,1),(410,1),(415,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(491,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(318,1),(348,1),(411,1),(412,1)}
       168:{3,4,6}:{(122,1),(133,1),(220,1),(329,1),(342,1)}
       169:{3,4,6,7}:{(123,1),(124,1),(134,1),(221,1),(224,1),(237,1),(329,1),(342,1),(543,1),(545,1),(551,1)}
       170:{3,5}:{(123,1),(135,1),(222,1)}
       171:{3,5,7}:{(124,1),(125,1),(126,1),(224,1)}
       172:{4,6}:{(125,1),(222,1),(224,1)}
       173:{2,5,6,7}:{(126,1),(128,1),(223,1),(226,1),(234,1),(426,1)}
       174:{2,4,5,7}:{(126,1),(127,1),(129,1),(138,1),(224,1),(226,1),(227,1),(230,1),(332,1),(334,1),(426,1)}
       175:{3,5,6}:{(127,1),(139,1),(225,1),(227,1),(236,1),(342,1)}
       176:{1,4,6,7}:{(128,1),(129,1),(131,1),(226,1),(229,1),(316,1),(339,1)}
       177:{1,3,5,7}:{(129,1),(130,1),(132,1),(140,1),(227,1),(229,1),(230,1)}
       178:{2,5,6}:{(130,1),(141,1),(230,1),(231,1),(318,1),(416,1)}
       179:{3,6,7}:{(131,1),(132,1),(404,1)}
       180:{2,4,6,7}:{(133,1),(142,1),(206,1),(219,1),(232,1),(242,1)}
       181:{2,5,6}:{(133,1),(135,1),(207,1),(220,1),(232,1)}
       182:{2,5,7}:{(134,1),(135,1),(208,1),(221,1),(234,1),(546,1)}
       183:{2,4,5}:{(135,1),(137,1),(209,1),(222,1),(236,1),(318,1),(546,1),(552,1)}
       184:{2,4,7}:{(136,1),(137,1),(210,1),(224,1),(237,1),(551,1)}
       185:{3,4,6}:{(137,1),(139,1),(145,1),(236,1),(237,1),(342,1),(519,1),(523,1)}
       186:{3,7}:{(138,1),(139,1)}
       187:{2,3,6}:{(139,1),(141,1),(146,1),(239,1),(240,1),(429,1)}
       188:{2,4,7}:{(140,1),(141,1),(230,1),(239,1),(241,1),(347,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(240,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(232,1),(242,1),(341,1),(409,1),(414,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(236,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(491,1)}
       194:{1,3,5}:{(146,1),(147,1),(240,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(149,1),(246,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(150,1),(246,1),(248,1),(350,1)}
       197:{2,4,6}:{(149,1),(153,1),(156,1),(246,1),(250,1),(350,1)}
       198:{2,4,6,7}:{(150,1),(151,1),(157,1),(247,1),(251,1),(253,1),(357,1),(515,1)}
       199:{2,5}:{(150,1),(158,1),(248,1)}
       200:{2,3,5,7}:{(151,1),(152,1),(159,1),(251,1),(253,1),(255,1),(266,1),(349,1),(358,1),(362,1),(370,1),(388,1),(464,1),(514,1)}
       201:{2,4,6}:{(152,1),(155,1),(160,1),(252,1),(253,1),(254,1),(350,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,4,6,7}:{(156,1),(163,1),(180,1),(249,1),(259,1),(268,1)}
       207:{1,5,6}:{(156,1),(158,1),(181,1),(250,1),(259,1)}
       208:{1,5,7}:{(157,1),(158,1),(182,1),(251,1),(261,1),(539,1)}
       209:{1,4,5}:{(158,1),(160,1),(183,1),(252,1),(263,1),(371,1),(539,1)}
       210:{1,4,7}:{(159,1),(160,1),(184,1),(253,1)}
       211:{1,3,4,6}:{(160,1),(162,1),(166,1),(185,1),(254,1),(263,1),(264,1),(265,1),(369,1)}
       212:{1,3,7}:{(161,1),(162,1),(186,1),(266,1),(362,1),(464,1),(534,1)}
       213:{2,3,6}:{(162,1),(167,1),(265,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(259,1),(268,1),(349,1),(362,1),(450,1),(453,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(350,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(263,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(371,1),(377,1)}
       219:{3,4,6,7}:{(168,1),(180,1),(273,1),(296,1),(378,1),(389,1)}
       220:{3,5,6}:{(168,1),(170,1),(181,1),(273,1),(274,1)}
       221:{3,5,7}:{(169,1),(170,1),(182,1),(275,1),(276,1),(550,1)}
       222:{4,5}:{(170,1),(172,1)}
       223:{3,5,6,7}:{(171,1),(173,1),(275,1),(278,1),(281,1),(383,1)}
       224:{4,7}:{(171,1),(172,1)}
       225:{3,4,6}:{(172,1),(175,1),(277,1),(279,1),(280,1)}
       226:{2,4,6,7}:{(173,1),(174,1),(176,1),(278,1),(281,1),(284,1),(289,1)}
       227:{3,5,7}:{(174,1),(175,1),(186,1),(279,1),(281,1)}
       228:{2,3,5,6}:{(175,1),(178,1),(187,1),(280,1),(282,1),(283,1),(291,1),(390,1),(458,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(179,1),(281,1),(284,1),(369,1)}
       230:{2,5,7}:{(177,1),(178,1),(188,1),(284,1),(285,1)}
       231:{1,5,6}:{(178,1),(189,1),(285,1),(371,1),(454,1)}
       232:{2,5,7}:{(180,1),(181,1),(259,1),(273,1)}
       233:{2,4,5,6}:{(181,1),(183,1),(191,1),(260,1),(274,1),(287,1),(288,1),(289,1),(368,1),(499,1),(535,1),(549,1)}
       234:{2,5,6}:{(182,1),(261,1),(275,1),(289,1)}
       235:{2,4,5,7}:{(182,1),(183,1),(184,1),(262,1),(276,1),(289,1),(290,1),(370,1)}
       236:{3,5}:{(183,1),(185,1)}
       237:{3,4,7}:{(184,1),(185,1),(186,1),(290,1),(534,1)}
       238:{2,3,4,6}:{(185,1),(187,1),(193,1),(265,1),(280,1),(291,1),(292,1),(293,1),(390,1),(449,1),(508,1),(538,1)}
       239:{2,3,7}:{(186,1),(187,1),(188,1),(294,1),(464,1)}
       240:{1,3,6}:{(187,1),(189,1),(194,1),(294,1),(295,1)}
       241:{1,4,7}:{(188,1),(189,1),(285,1),(294,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(288,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,6}:{(195,1),(197,1)}
       247:{3,4,6,7}:{(196,1),(198,1),(298,1),(300,1),(307,1),(396,1),(398,1),(404,1),(493,1),(529,1),(530,1)}
       248:{3,5}:{(196,1),(199,1),(301,1)}
       249:{2,4,6,7}:{(197,1),(202,1),(206,1),(298,1),(302,1),(309,1),(396,1)}
       250:{2,5,6}:{(197,1),(199,1),(207,1),(299,1),(302,1)}
       251:{2,5,7}:{(198,1),(199,1),(208,1),(300,1),(304,1),(531,1)}
       252:{2,4,5}:{(199,1),(201,1),(209,1),(301,1),(306,1),(318,1),(531,1),(547,1)}
       253:{2,4,7}:{(200,1),(201,1),(210,1),(307,1),(396,1),(530,1)}
       254:{3,4,6}:{(201,1),(205,1),(306,1),(307,1),(310,1),(404,1),(429,1),(491,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,7}:{(206,1),(207,1),(232,1),(302,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(215,1),(233,1),(303,1),(314,1),(315,1),(316,1),(415,1),(471,1),(520,1)}
       261:{1,5,6}:{(208,1),(234,1),(304,1),(316,1)}
       262:{1,4,5,7}:{(208,1),(209,1),(210,1),(235,1),(305,1),(316,1),(317,1),(417,1)}
       263:{1,3,5}:{(209,1),(211,1),(236,1),(306,1),(318,1)}
       264:{1,3,4,7}:{(210,1),(211,1),(212,1),(237,1),(307,1),(317,1),(319,1)}
       265:{2,4,6}:{(211,1),(213,1),(217,1),(318,1),(319,1),(320,1),(416,1)}
       266:{2,3,7}:{(212,1),(213,1),(319,1),(321,1),(347,1),(483,1)}
       267:{1,3,6}:{(213,1),(218,1),(320,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(396,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(315,1),(323,1),(324,1),(397,1),(410,1),(471,1),(519,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(318,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{3,5,7}:{(219,1),(220,1),(232,1),(328,1)}
       274:{4,5,6}:{(220,1),(222,1),(328,1),(329,1)}
       275:{3,5,6}:{(221,1),(234,1),(329,1),(342,1)}
       276:{4,5,7}:{(221,1),(222,1),(224,1),(329,1),(551,1),(552,1)}
       277:{3,4,5}:{(222,1),(225,1),(236,1),(331,1),(523,1)}
       278:{4,6,7}:{(223,1),(224,1),(329,1),(332,1)}
       279:{3,4,7}:{(224,1),(225,1),(227,1),(334,1)}
       280:{2,4,6}:{(225,1),(228,1),(331,1),(334,1),(335,1)}
       281:{3,6,7}:{(226,1),(227,1),(342,1)}
       282:{2,3,5,7}:{(227,1),(228,1),(230,1),(239,1),(334,1),(336,1),(337,1),(426,1)}
       283:{1,3,5,6}:{(228,1),(231,1),(240,1),(335,1),(337,1),(338,1),(344,1),(429,1),(431,1),(488,1),(528,1)}
       284:{2,6,7}:{(229,1),(230,1),(339,1),(416,1)}
       285:{1,5,7}:{(230,1),(231,1),(241,1),(339,1)}
       286:{2,5,6,7}:{(232,1),(234,1),(313,1),(327,1),(340,1),(542,1)}
       287:{2,4,5,7}:{(232,1),(233,1),(242,1),(314,1),(328,1),(340,1),(341,1),(414,1),(518,1),(542,1),(551,1)}
       288:{3,5,6}:{(233,1),(236,1),(243,1),(341,1),(342,1),(519,1)}
       289:{2,4,6}:{(234,1),(235,1),(316,1),(329,1),(342,1),(416,1)}
       290:{3,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5}:{(236,1),(238,1),(318,1),(331,1),(344,1),(546,1)}
       292:{2,3,4,7}:{(237,1),(238,1),(239,1),(319,1),(334,1),(343,1),(345,1),(482,1),(526,1)}
       293:{1,3,4,6}:{(238,1),(240,1),(244,1),(320,1),(335,1),(344,1),(345,1),(346,1),(420,1),(429,1),(431,1),(487,1),(491,1),(527,1),(529,1)}
       294:{1,3,7}:{(239,1),(240,1),(241,1),(347,1)}
       295:{2,6}:{(240,1),(245,1),(347,1)}
       296:{3,4,7}:{(242,1),(243,1),(341,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(249,1),(349,1),(362,1)}
       299:{3,5,6}:{(246,1),(248,1),(250,1),(349,1),(350,1)}
       300:{3,5,7}:{(247,1),(248,1),(251,1),(351,1),(352,1),(541,1)}
       301:{4,5}:{(248,1),(350,1)}
       302:{2,5,7}:{(249,1),(250,1),(259,1),(349,1)}
       303:{2,4,5,6}:{(250,1),(252,1),(256,1),(260,1),(350,1),(355,1),(356,1),(357,1),(368,1),(437,1),(438,1),(500,1)}
       304:{2,5,6}:{(251,1),(261,1),(351,1),(357,1)}
       305:{2,4,5,7}:{(251,1),(252,1),(253,1),(262,1),(352,1),(357,1),(358,1),(370,1)}
       306:{3,5}:{(252,1),(254,1)}
       307:{3,4,7}:{(253,1),(254,1),(358,1),(362,1),(464,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(265,1),(359,1),(360,1),(361,1),(363,1),(394,1),(437,1),(445,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(261,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(268,1),(287,1),(355,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(263,1),(269,1),(288,1),(356,1),(367,1),(368,1),(369,1)}
       316:{1,4,6}:{(261,1),(262,1),(289,1),(357,1),(369,1),(454,1)}
       317:{1,3,5,7}:{(262,1),(263,1),(264,1),(290,1),(358,1),(369,1),(370,1)}
       318:{2,5}:{(263,1),(265,1),(371,1)}
       319:{2,4,7}:{(264,1),(265,1),(266,1),(370,1),(372,1)}
       320:{1,4,6}:{(265,1),(267,1),(271,1),(371,1),(372,1),(454,1)}
       321:{1,3,7}:{(266,1),(267,1),(372,1),(374,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(374,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(367,1),(375,1),(436,1),(450,1),(498,1),(534,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(368,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(371,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(286,1),(378,1),(389,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{4,6}:{(275,1),(276,1)}
       330:{3,4,5,7}:{(276,1),(277,1),(279,1),(290,1),(380,1),(381,1),(383,1),(537,1),(550,1)}
       331:{2,4,5}:{(277,1),(280,1),(291,1),(382,1),(508,1)}
       332:{4,5,7}:{(278,1),(379,1),(383,1)}
       333:{3,4,6,7}:{(278,1),(279,1),(281,1),(380,1),(383,1),(384,1)}
       334:{2,4,7}:{(279,1),(280,1),(282,1),(385,1)}
       335:{1,4,6}:{(280,1),(283,1),(382,1),(385,1),(386,1),(540,1)}
       336:{2,3,6,7}:{(281,1),(282,1),(284,1),(384,1),(387,1),(390,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(385,1),(387,1),(388,1),(462,1),(464,1),(514,1)}
       338:{2,5,6}:{(283,1),(295,1),(386,1),(388,1),(392,1),(465,1)}
       339:{1,6,7}:{(284,1),(285,1),(454,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(289,1),(366,1),(378,1),(389,1),(452,1)}
       341:{3,5,7}:{(287,1),(288,1),(296,1),(389,1),(534,1)}
       342:{3,6}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(370,1),(381,1),(390,1),(391,1)}
       344:{1,3,5}:{(291,1),(293,1),(371,1),(382,1),(392,1),(461,1),(539,1),(541,1)}
       345:{1,3,4,7}:{(292,1),(293,1),(294,1),(372,1),(385,1),(391,1),(393,1),(457,1),(464,1),(510,1),(513,1)}
       346:{2,4,6}:{(293,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,7}:{(298,1),(299,1),(302,1),(396,1)}
       350:{4,6}:{(299,1),(301,1),(396,1)}
       351:{3,5,6}:{(300,1),(304,1),(398,1),(404,1)}
       352:{4,5,7}:{(300,1),(301,1),(396,1),(398,1),(530,1),(547,1)}
       353:{3,4,5}:{(301,1),(306,1),(397,1),(400,1),(491,1)}
       354:{2,5,6,7}:{(302,1),(304,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,5,7}:{(302,1),(303,1),(309,1),(314,1),(396,1),(401,1),(402,1),(414,1),(468,1),(470,1),(516,1)}
       356:{3,5,6}:{(303,1),(306,1),(310,1),(397,1),(402,1),(404,1)}
       357:{2,4,6}:{(304,1),(305,1),(316,1),(398,1),(404,1),(416,1)}
       358:{3,5,7}:{(305,1),(306,1),(307,1),(404,1)}
       359:{2,3,5}:{(306,1),(308,1),(318,1),(400,1),(406,1),(531,1)}
       360:{2,3,4,7}:{(307,1),(308,1),(319,1),(405,1),(407,1),(409,1),(434,1),(470,1),(495,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(320,1),(406,1),(407,1),(408,1),(410,1),(420,1),(471,1),(479,1),(487,1),(519,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(519,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(316,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(323,1),(341,1),(402,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(318,1),(324,1),(414,1),(415,1),(416,1)}
       369:{1,3,6}:{(316,1),(317,1),(342,1),(404,1),(416,1)}
       370:{2,5,7}:{(317,1),(318,1),(319,1),(416,1),(417,1)}
       371:{1,5}:{(318,1),(320,1)}
       372:{1,4,7}:{(319,1),(320,1),(321,1),(417,1)}
       373:{1,2,4,6}:{(320,1),(322,1),(326,1),(346,1),(408,1),(418,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       374:{1,2,7}:{(321,1),(322,1),(347,1),(483,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(414,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(415,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,6,7}:{(327,1),(328,1),(329,1),(551,1)}
       379:{4,5,6}:{(329,1),(332,1),(422,1),(552,1)}
       380:{3,4,6}:{(329,1),(330,1),(342,1),(422,1),(423,1)}
       381:{2,4,5,7}:{(330,1),(331,1),(334,1),(343,1),(423,1),(424,1),(426,1),(526,1),(546,1)}
       382:{1,4,5}:{(331,1),(335,1),(344,1),(425,1),(487,1),(547,1)}
       383:{3,5,7}:{(332,1),(333,1),(422,1),(426,1)}
       384:{2,4,6,7}:{(333,1),(334,1),(336,1),(423,1),(426,1),(427,1)}
       385:{1,4,7}:{(334,1),(335,1),(337,1),(428,1),(530,1)}
       386:{2,4,6}:{(335,1),(338,1),(425,1),(428,1),(429,1)}
       387:{1,3,6,7}:{(336,1),(337,1),(339,1),(427,1),(430,1),(431,1),(493,1)}
       388:{2,5,7}:{(337,1),(338,1),(347,1),(428,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(342,1)}
       390:{2,3,6}:{(342,1),(343,1),(416,1),(423,1),(431,1)}
       391:{1,3,5,7}:{(343,1),(344,1),(345,1),(417,1),(424,1),(431,1),(432,1),(490,1)}
       392:{2,5}:{(344,1),(346,1)}
       393:{2,4,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       394:{2,3,6}:{(346,1),(348,1),(420,1),(429,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(435,1),(442,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(356,1),(436,1),(437,1)}
       398:{4,6}:{(351,1),(352,1)}
       399:{3,4,5,7}:{(352,1),(353,1),(358,1),(436,1),(439,1),(440,1),(496,1),(513,1),(541,1)}
       400:{2,4,5}:{(353,1),(359,1),(437,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(357,1),(366,1),(435,1),(442,1),(452,1)}
       402:{3,5,7}:{(355,1),(356,1),(362,1),(436,1),(442,1)}
       403:{2,3,5,6}:{(356,1),(359,1),(363,1),(368,1),(437,1),(443,1),(444,1),(445,1),(500,1)}
       404:{3,6}:{(357,1),(358,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(360,1),(370,1),(440,1),(445,1),(446,1)}
       406:{1,3,5}:{(359,1),(361,1),(371,1),(441,1),(447,1),(503,1),(539,1),(550,1)}
       407:{1,3,4,7}:{(360,1),(361,1),(372,1),(446,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       408:{2,4,6}:{(361,1),(365,1),(447,1),(448,1),(449,1),(451,1),(506,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(534,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(369,1),(389,1),(442,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(375,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(371,1),(376,1),(453,1),(454,1)}
       416:{2,6}:{(369,1),(370,1),(454,1)}
       417:{1,5,7}:{(370,1),(371,1),(372,1),(454,1)}
       418:{1,2,5}:{(371,1),(373,1),(392,1),(447,1),(456,1),(539,1)}
       419:{1,2,4,7}:{(372,1),(373,1),(374,1),(393,1),(448,1),(455,1),(457,1),(510,1)}
       420:{1,3,6}:{(373,1),(377,1),(394,1),(449,1),(456,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(453,1)}
       422:{3,5,6}:{(379,1),(380,1),(383,1),(458,1),(550,1)}
       423:{2,4,6}:{(380,1),(381,1),(390,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(381,1),(382,1),(385,1),(391,1),(459,1),(460,1),(462,1),(510,1),(539,1)}
       425:{2,4,5}:{(382,1),(386,1),(392,1),(461,1),(467,1)}
       426:{2,5,7}:{(383,1),(384,1),(458,1),(462,1)}
       427:{1,4,6,7}:{(384,1),(385,1),(387,1),(459,1),(462,1),(463,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(464,1)}
       429:{3,6}:{(386,1),(461,1),(464,1)}
       430:{2,6,7}:{(387,1),(388,1),(465,1)}
       431:{1,3,6}:{(390,1),(391,1),(454,1),(459,1),(465,1),(512,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,5}:{(392,1),(394,1),(456,1),(461,1),(467,1)}
       434:{2,3,7}:{(393,1),(394,1),(457,1),(464,1)}
       435:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(402,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(403,1),(470,1),(471,1)}
       438:{4,5,6}:{(398,1),(468,1),(472,1),(547,1)}
       439:{3,4,6}:{(398,1),(399,1),(404,1),(472,1),(473,1)}
       440:{2,4,5,7}:{(399,1),(400,1),(405,1),(470,1),(473,1),(474,1),(495,1),(516,1),(531,1)}
       441:{1,4,5}:{(400,1),(406,1),(471,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(404,1)}
       443:{2,3,5,7}:{(402,1),(403,1),(409,1),(414,1),(470,1),(476,1),(477,1),(516,1)}
       444:{1,3,5,6}:{(403,1),(406,1),(410,1),(415,1),(471,1),(477,1),(478,1),(479,1),(519,1),(520,1),(544,1)}
       445:{2,3,6}:{(404,1),(405,1),(416,1),(473,1),(479,1)}
       446:{1,3,5,7}:{(405,1),(406,1),(407,1),(417,1),(474,1),(479,1),(480,1),(522,1)}
       447:{2,5}:{(406,1),(408,1)}
       448:{2,4,7}:{(407,1),(408,1),(480,1),(482,1),(483,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(481,1),(482,1),(519,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(416,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(421,1),(484,1)}
       454:{1,6}:{(416,1),(417,1)}
       455:{1,2,5,7}:{(417,1),(418,1),(419,1),(432,1),(480,1),(485,1),(486,1)}
       456:{1,3,5}:{(418,1),(420,1),(433,1),(481,1),(487,1)}
       457:{1,3,7}:{(419,1),(420,1),(434,1),(482,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(431,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(428,1),(432,1),(489,1),(490,1),(492,1),(495,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(429,1),(491,1)}
       462:{1,5,7}:{(426,1),(427,1),(488,1),(492,1)}
       463:{2,4,6,7}:{(427,1),(428,1),(430,1),(489,1),(492,1),(493,1),(530,1)}
       464:{3,7}:{(428,1),(429,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(490,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(433,1),(487,1),(491,1)}
       468:{4,5,7}:{(435,1),(438,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(439,1),(442,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(443,1),(498,1)}
       471:{1,4,6}:{(437,1),(441,1),(444,1),(498,1),(499,1),(549,1)}
       472:{3,5,6}:{(438,1),(439,1),(496,1),(500,1),(541,1)}
       473:{2,4,6}:{(439,1),(440,1),(445,1),(500,1),(501,1)}
       474:{1,4,5,7}:{(440,1),(441,1),(446,1),(498,1),(501,1),(502,1),(510,1),(532,1),(539,1)}
       475:{2,4,5}:{(441,1),(447,1),(499,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(445,1),(452,1),(497,1),(504,1)}
       477:{1,3,5,7}:{(443,1),(444,1),(450,1),(453,1),(498,1),(504,1),(505,1),(532,1),(534,1),(548,1)}
       478:{2,5,6}:{(444,1),(447,1),(451,1),(499,1),(505,1),(506,1)}
       479:{1,3,6}:{(445,1),(446,1),(454,1),(501,1),(506,1),(536,1)}
       480:{2,5,7}:{(446,1),(447,1),(448,1),(506,1)}
       481:{2,3,5}:{(447,1),(449,1),(456,1),(503,1),(508,1)}
       482:{2,3,7}:{(448,1),(449,1),(457,1),(534,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(465,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(466,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(462,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(465,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(464,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(467,1)}
       492:{2,5,7}:{(462,1),(463,1),(511,1),(514,1)}
       493:{3,6,7}:{(463,1),(464,1),(512,1),(514,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(512,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(513,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(472,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(473,1),(476,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(477,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(475,1),(478,1),(518,1),(519,1)}
       500:{2,5,6}:{(472,1),(473,1),(516,1),(520,1),(531,1)}
       501:{1,4,6}:{(473,1),(474,1),(479,1),(520,1),(521,1)}
       502:{2,4,5,7}:{(474,1),(475,1),(480,1),(518,1),(521,1),(522,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       503:{3,5}:{(475,1),(519,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(479,1),(484,1),(517,1),(524,1),(543,1)}
       505:{2,5,7}:{(477,1),(478,1),(483,1),(518,1),(524,1)}
       506:{2,6}:{(479,1),(480,1)}
       507:{2,3,5,7}:{(480,1),(481,1),(482,1),(486,1),(522,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(481,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(492,1),(528,1),(531,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(495,1),(529,1),(530,1)}
       514:{3,5,7}:{(492,1),(493,1),(528,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(529,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(500,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(501,1),(504,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(505,1),(534,1)}
       519:{3,6}:{(499,1),(503,1),(534,1)}
       520:{1,5,6}:{(500,1),(501,1),(532,1),(535,1),(539,1)}
       521:{2,4,6}:{(501,1),(502,1),(506,1),(535,1),(536,1),(549,1)}
       522:{3,5,7}:{(502,1),(503,1),(534,1),(536,1),(537,1),(550,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(506,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(515,1),(540,1),(541,1)}
       530:{4,7}:{(514,1),(540,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(520,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(521,1),(524,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(520,1),(521,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{3,4,7}:{(522,1),(523,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(530,1),(547,1)}
       541:{3,5}:{(529,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 396 :   0:{2,3,4}:{(2,1),(3,1),(32,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(115,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(21,1),(51,1),(58,1)}
         4:{4,5,6}:{(11,1),(12,1),(129,1),(148,1)}
         5:{3,4,6}:{(1,1),(11,1),(13,1),(14,1)}
         6:{2,4,5}:{(1,1),(2,1),(13,1),(15,1),(64,1),(100,1)}
         7:{2,3,6}:{(2,1),(13,1),(16,1),(17,1)}
         8:{1,3,5}:{(2,1),(3,1),(15,1),(16,1),(18,1),(42,1)}
         9:{2,4}:{(3,1),(18,1),(19,1)}
        10:{1,2,4}:{(9,1),(20,1),(21,1),(48,1),(51,1)}
        11:{3,5,6}:{(4,1),(5,1),(22,1),(23,1),(115,1),(143,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(7,1),(22,1),(25,1),(26,1)}
        14:{3,4,7}:{(5,1),(23,1),(26,1)}
        15:{1,4,5}:{(6,1),(8,1),(25,1),(27,1),(51,1),(85,1)}
        16:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(56,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{2,5}:{(8,1),(9,1),(28,1)}
        19:{2,3}:{(9,1),(21,1)}
        20:{1,2,5}:{(10,1),(18,1),(33,1),(34,1),(65,1)}
        21:{1,3}:{(10,1),(19,1),(32,1)}
        22:{2,5,6}:{(11,1),(13,1),(36,1),(37,1),(100,1),(134,1)}
        23:{3,5,7}:{(11,1),(12,1),(14,1),(37,1),(38,1)}
        24:{4,6,7}:{(12,1),(38,1),(39,1),(148,1)}
        25:{1,4,6}:{(13,1),(15,1),(16,1),(36,1),(40,1),(41,1)}
        26:{2,4,7}:{(13,1),(14,1),(17,1),(37,1),(41,1)}
        27:{2,4,5}:{(15,1),(18,1),(40,1),(42,1),(45,1),(76,1),(107,1)}
        28:{2,6}:{(16,1),(18,1),(44,1)}
        29:{1,3,7}:{(16,1),(17,1),(41,1),(44,1),(74,1)}
        30:{2,3,5}:{(18,1),(19,1),(34,1),(42,1),(43,1),(45,1),(76,1)}
        31:{2,3,4}:{(19,1),(35,1),(45,1),(46,1)}
        32:{2,3}:{(21,1),(48,1)}
        33:{1,2,6}:{(20,1),(28,1),(49,1),(50,1),(84,1)}
        34:{1,3,5}:{(20,1),(21,1),(30,1),(47,1),(49,1),(51,1),(85,1)}
        35:{1,3,4}:{(21,1),(31,1),(48,1),(51,1),(52,1),(80,1)}
        36:{1,5,6}:{(22,1),(25,1),(53,1),(54,1),(85,1),(122,1)}
        37:{2,5,7}:{(22,1),(23,1),(26,1),(54,1),(55,1)}
        38:{3,6,7}:{(23,1),(24,1),(55,1),(143,1)}
        39:{5,6,7}:{(24,1),(152,1)}
        40:{2,4,6}:{(25,1),(27,1),(28,1),(53,1),(56,1),(57,1),(89,1)}
        41:{1,4,7}:{(25,1),(26,1),(29,1),(54,1),(57,1)}
        42:{3,5}:{(27,1),(56,1),(58,1)}
        43:{2,3,6}:{(28,1),(30,1),(49,1),(56,1),(59,1),(60,1)}
        44:{2,7}:{(28,1),(29,1)}
        45:{2,4}:{(30,1),(51,1),(58,1)}
        46:{2,3,5}:{(31,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(32,1),(34,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{2,4}:{(32,1),(35,1),(65,1)}
        49:{1,3,6}:{(33,1),(34,1),(43,1),(63,1),(66,1),(67,1)}
        50:{1,2,7}:{(33,1),(44,1),(67,1),(103,1)}
        51:{1,4}:{(34,1),(45,1),(64,1)}
        52:{1,3,5}:{(35,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,5,6}:{(36,1),(40,1),(70,1),(71,1),(76,1),(114,1)}
        54:{1,5,7}:{(36,1),(37,1),(41,1),(71,1),(72,1)}
        55:{2,6,7}:{(37,1),(38,1),(72,1),(134,1)}
        56:{3,6}:{(40,1),(42,1),(74,1)}
        57:{2,4,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(108,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,4,6}:{(43,1),(45,1),(66,1),(73,1),(76,1),(77,1),(114,1)}
        60:{2,3,7}:{(43,1),(44,1),(67,1),(74,1),(77,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(76,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(49,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,4,6}:{(49,1),(51,1),(59,1),(81,1),(85,1),(86,1),(122,1)}
        67:{1,3,7}:{(49,1),(50,1),(60,1),(82,1),(86,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(85,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{3,5,6}:{(53,1),(56,1),(89,1),(90,1),(92,1),(127,1),(146,1)}
        71:{2,5,7}:{(53,1),(54,1),(57,1),(90,1),(91,1)}
        72:{1,6,7}:{(54,1),(55,1),(91,1),(122,1)}
        73:{3,4,6}:{(56,1),(58,1),(59,1),(89,1),(92,1),(93,1),(127,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{3,4,5}:{(58,1),(61,1),(92,1),(94,1)}
        76:{2,5}:{(59,1),(85,1),(92,1)}
        77:{2,4,7}:{(59,1),(60,1),(86,1),(93,1),(96,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(95,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,4,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(101,1),(134,1)}
        82:{2,3,7}:{(63,1),(67,1),(101,1),(103,1),(132,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(100,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,5}:{(66,1),(76,1),(100,1)}
        86:{1,4,7}:{(66,1),(67,1),(77,1),(101,1),(105,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(104,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{4,6}:{(70,1),(107,1),(108,1)}
        90:{3,5,7}:{(70,1),(71,1),(74,1),(108,1),(109,1),(138,1)}
        91:{2,6,7}:{(71,1),(72,1),(109,1),(114,1)}
        92:{3,5}:{(73,1),(76,1),(107,1)}
        93:{3,4,7}:{(73,1),(74,1),(77,1),(108,1),(111,1)}
        94:{3,4,6}:{(75,1),(78,1),(110,1),(112,1)}
        95:{2,5,6}:{(76,1),(78,1),(104,1),(110,1),(113,1),(114,1)}
        96:{2,5,7}:{(76,1),(77,1),(105,1),(111,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(113,1)}
        98:{3,4,6}:{(80,1),(81,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,5}:{(81,1),(85,1),(115,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(116,1),(119,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(118,1),(120,1),(140,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(87,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,5,7}:{(85,1),(86,1),(96,1),(119,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(121,1)}
       107:{4,5}:{(89,1),(92,1)}
       108:{4,7}:{(89,1),(90,1)}
       109:{3,6,7}:{(90,1),(91,1),(125,1),(127,1)}
       110:{3,5,6}:{(92,1),(94,1),(95,1),(123,1),(126,1),(127,1)}
       111:{3,5,7}:{(92,1),(93,1),(96,1),(124,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(126,1)}
       113:{2,5,7}:{(95,1),(97,1),(121,1),(126,1),(128,1)}
       114:{2,6}:{(96,1),(122,1),(127,1)}
       115:{3,5}:{(98,1),(100,1),(129,1)}
       116:{3,4,7}:{(98,1),(101,1),(131,1),(132,1),(147,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,6}:{(100,1),(102,1),(104,1),(130,1),(133,1),(134,1)}
       119:{2,5,7}:{(100,1),(101,1),(105,1),(131,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1),(147,1)}
       121:{1,5,7}:{(104,1),(106,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(105,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(110,1),(136,1),(137,1)}
       124:{4,5,7}:{(107,1),(108,1),(111,1),(137,1),(138,1)}
       125:{4,6,7}:{(108,1),(109,1),(137,1),(138,1)}
       126:{3,5,7}:{(110,1),(112,1),(113,1),(136,1),(139,1)}
       127:{3,6}:{(111,1),(114,1),(137,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(115,1),(140,1)}
       130:{3,5,6}:{(115,1),(117,1),(118,1),(140,1),(142,1),(143,1),(152,1)}
       131:{3,5,7}:{(115,1),(116,1),(119,1),(141,1),(143,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,5,7}:{(118,1),(120,1),(121,1),(142,1),(144,1)}
       134:{2,6}:{(119,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(126,1),(145,1)}
       137:{4,6}:{(124,1),(127,1),(146,1)}
       138:{5,7}:{(125,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(145,1)}
       140:{4,6}:{(129,1),(130,1),(147,1)}
       141:{4,5,7}:{(129,1),(131,1),(147,1),(148,1),(153,1)}
       142:{3,5,7}:{(130,1),(132,1),(133,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(131,1),(134,1),(148,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(139,1),(150,1)}
       146:{5,6}:{(137,1),(138,1)}
       147:{4,7}:{(140,1),(142,1)}
       148:{4,6}:{(141,1),(143,1),(152,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(151,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(148,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 397 :   0:{3,4,5,7}:{(1,1),(2,1),(17,1),(62,1),(106,1),(173,1),(274,1),(372,1),(378,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(30,1),(38,1),(71,1),(130,1),(225,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(414,1),(420,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(71,1),(84,1),(130,1),(243,1),(331,1),(339,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(378,1),(386,1)}
         5:{1,4,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(61,1),(94,1),(104,1),(180,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(16,1)}
         7:{3,4,6,7}:{(2,1),(15,1),(17,1),(55,1),(106,1),(118,1)}
         8:{3,5,6}:{(2,1),(16,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(46,1),(56,1),(94,1),(104,1),(191,1),(298,1),(388,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(175,1),(192,1),(210,1),(219,1),(280,1),(287,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(9,1),(22,1),(23,1),(26,1),(37,1),(429,1)}
        12:{2,3,6}:{(4,1),(6,1),(23,1),(420,1),(428,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(26,1),(27,1),(65,1),(77,1),(91,1),(140,1),(143,1),(150,1),(152,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(27,1),(29,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(28,1),(30,1),(71,1)}
        16:{2,5,6}:{(6,1),(8,1),(29,1),(30,1),(225,1)}
        17:{3,5,7}:{(7,1),(8,1),(30,1),(33,1)}
        18:{4,5,6}:{(8,1),(33,1),(325,1),(414,1)}
        19:{2,4,7}:{(9,1),(22,1),(35,1),(36,1),(350,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(23,1),(36,1),(37,1),(70,1),(74,1),(86,1),(133,1),(144,1),(165,1),(170,1),(244,1),(270,1),(340,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(225,1),(330,1),(338,1)}
        22:{2,5,7}:{(11,1),(19,1),(41,1),(60,1)}
        23:{1,3,6}:{(11,1),(12,1),(14,1),(41,1),(47,1),(465,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(42,1),(44,1),(118,1),(206,1)}
        25:{2,3,5,6}:{(12,1),(16,1),(21,1),(43,1),(44,1),(45,1),(54,1),(117,1),(192,1)}
        26:{3,5,7}:{(13,1),(46,1),(47,1),(109,1),(128,1),(191,1)}
        27:{2,4,6}:{(13,1),(14,1),(41,1),(47,1),(49,1),(111,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(42,1),(48,1),(50,1),(104,1)}
        29:{1,5,6}:{(14,1),(16,1),(49,1),(50,1),(180,1)}
        30:{2,5,7}:{(15,1),(16,1),(17,1),(50,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(45,1),(51,1),(53,1),(54,1),(117,1),(278,1),(308,1),(377,1),(472,1),(519,1)}
        32:{3,5,6,7}:{(17,1),(52,1),(55,1),(118,1),(371,1),(475,1)}
        33:{4,5,7}:{(17,1),(18,1),(55,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(94,1),(119,1),(388,1),(390,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(191,1)}
        36:{2,4,6}:{(19,1),(20,1),(41,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(109,1),(128,1),(180,1),(387,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(22,1),(34,1),(63,1),(64,1),(87,1),(160,1),(429,1)}
        40:{2,3,5,7}:{(22,1),(26,1),(35,1),(63,1),(65,1),(66,1),(90,1),(140,1)}
        41:{2,6}:{(22,1),(23,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(28,1),(67,1),(69,1),(75,1),(258,1)}
        43:{1,3,5,6}:{(23,1),(25,1),(29,1),(37,1),(68,1),(69,1),(70,1),(76,1),(144,1),(159,1),(244,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(30,1),(69,1),(71,1),(83,1),(158,1),(243,1)}
        45:{2,4,6}:{(25,1),(38,1),(70,1),(71,1),(72,1)}
        46:{3,4,7}:{(26,1),(65,1),(74,1),(152,1),(170,1)}
        47:{3,6}:{(26,1),(27,1)}
        48:{2,4,6,7}:{(27,1),(28,1),(67,1),(75,1),(77,1),(143,1),(152,1)}
        49:{2,5,6}:{(27,1),(29,1),(76,1),(77,1),(140,1)}
        50:{1,5,7}:{(28,1),(29,1),(30,1),(77,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(70,1),(78,1),(80,1),(81,1),(159,1),(231,1),(254,1),(336,1),(437,1)}
        52:{2,5,6,7}:{(30,1),(32,1),(79,1),(82,1),(328,1),(441,1)}
        53:{2,4,5,7}:{(30,1),(31,1),(33,1),(71,1),(80,1),(82,1),(83,1),(158,1),(357,1),(441,1),(501,1)}
        54:{3,5,6}:{(31,1),(72,1),(83,1),(330,1),(358,1),(420,1)}
        55:{4,6,7}:{(32,1),(33,1),(414,1),(501,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(133,1),(161,1),(165,1),(340,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(65,1),(85,1),(88,1),(89,1),(241,1),(268,1),(339,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(144,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(70,1),(91,1),(150,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(330,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(56,1),(93,1),(94,1),(95,1),(123,1),(180,1)}
        64:{1,2,6}:{(39,1),(41,1),(95,1),(208,1),(465,1)}
        65:{2,4,7}:{(40,1),(46,1),(94,1),(99,1),(127,1)}
        66:{2,3,6}:{(40,1),(41,1),(47,1),(95,1),(99,1)}
        67:{2,6,7}:{(41,1),(42,1),(102,1)}
        68:{2,5,6}:{(41,1),(43,1),(60,1),(102,1),(103,1),(299,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(102,1),(104,1),(110,1),(191,1),(207,1),(298,1)}
        70:{1,4,6}:{(43,1),(45,1),(61,1),(103,1),(104,1),(111,1)}
        71:{2,4,7}:{(44,1),(45,1),(104,1),(106,1)}
        72:{3,4,6}:{(45,1),(54,1),(62,1),(106,1),(519,1)}
        73:{3,4,5,7}:{(46,1),(98,1),(107,1),(109,1),(195,1),(198,1),(218,1),(294,1),(320,1)}
        74:{3,4,6}:{(46,1),(47,1),(99,1),(109,1),(111,1)}
        75:{3,6,7}:{(47,1),(48,1),(110,1),(191,1)}
        76:{3,5,6}:{(47,1),(49,1),(109,1),(110,1),(111,1)}
        77:{2,5,7}:{(48,1),(49,1),(50,1),(110,1)}
        78:{2,4,5,6}:{(49,1),(51,1),(103,1),(111,1),(113,1),(114,1),(117,1),(188,1),(202,1),(293,1),(301,1),(397,1)}
        79:{1,5,6,7}:{(50,1),(52,1),(112,1),(115,1),(283,1),(401,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(104,1),(113,1),(115,1),(116,1),(207,1),(307,1),(401,1)}
        81:{1,3,5,6}:{(51,1),(54,1),(105,1),(114,1),(116,1),(117,1),(285,1),(385,1)}
        82:{2,4,6,7}:{(52,1),(53,1),(55,1),(115,1),(118,1),(206,1),(377,1)}
        83:{3,5,7}:{(53,1),(54,1),(106,1),(118,1),(403,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(94,1),(119,1),(121,1),(122,1),(173,1),(315,1),(388,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(180,1),(209,1),(387,1)}
        88:{2,3,5,7}:{(58,1),(98,1),(121,1),(125,1),(126,1),(294,1),(386,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(99,1),(122,1),(125,1),(126,1),(127,1),(190,1),(217,1),(287,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(103,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(105,1),(128,1),(129,1),(199,1),(214,1),(220,1),(285,1),(304,1),(400,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(225,1)}
        94:{1,4,7}:{(63,1),(65,1),(130,1),(133,1),(165,1)}
        95:{1,3,6}:{(63,1),(64,1),(66,1),(131,1),(133,1)}
        96:{1,2,6,7}:{(64,1),(67,1),(134,1),(136,1),(258,1),(259,1),(359,1),(428,1),(493,1),(494,1),(529,1)}
        97:{1,2,5,6}:{(64,1),(68,1),(87,1),(135,1),(136,1),(137,1),(159,1),(257,1),(260,1),(338,1),(342,1),(427,1),(428,1),(430,1),(488,1),(494,1)}
        98:{2,4,5,7}:{(65,1),(73,1),(88,1),(132,1),(138,1),(140,1),(169,1),(236,1),(268,1)}
        99:{2,4,6}:{(65,1),(66,1),(74,1),(133,1),(140,1)}
       100:{2,3,6,7}:{(66,1),(67,1),(75,1),(134,1),(139,1),(141,1),(345,1),(428,1),(529,1),(530,1),(544,1)}
       101:{2,3,5,6}:{(66,1),(68,1),(76,1),(90,1),(135,1),(140,1),(141,1),(142,1),(144,1),(235,1),(238,1),(240,1),(338,1),(345,1),(428,1),(488,1),(491,1),(524,1),(530,1),(545,1),(547,1)}
       102:{2,5,7}:{(67,1),(68,1),(69,1),(143,1),(350,1)}
       103:{2,4,6}:{(68,1),(70,1),(91,1),(143,1),(144,1)}
       104:{1,4,7}:{(69,1),(70,1),(71,1),(143,1),(152,1)}
       105:{1,3,4,6}:{(70,1),(72,1),(81,1),(92,1),(144,1),(145,1),(146,1),(153,1),(244,1),(254,1),(358,1)}
       106:{3,4,7}:{(71,1),(72,1),(83,1),(501,1)}
       107:{3,4,6}:{(73,1),(138,1),(148,1),(248,1),(345,1)}
       108:{3,4,6,7}:{(74,1),(75,1),(139,1),(149,1),(152,1),(241,1),(248,1),(345,1),(544,1),(546,1),(551,1)}
       109:{3,5}:{(74,1),(140,1),(150,1)}
       110:{3,5,7}:{(75,1),(76,1),(77,1),(152,1)}
       111:{4,6}:{(76,1),(150,1),(152,1)}
       112:{2,5,6,7}:{(77,1),(79,1),(151,1),(154,1),(238,1),(355,1)}
       113:{2,4,5,7}:{(77,1),(78,1),(80,1),(143,1),(152,1),(154,1),(155,1),(158,1),(251,1),(253,1),(355,1)}
       114:{3,5,6}:{(78,1),(144,1),(153,1),(155,1),(240,1),(345,1)}
       115:{1,4,6,7}:{(79,1),(80,1),(82,1),(154,1),(157,1),(258,1),(336,1)}
       116:{1,3,5,7}:{(80,1),(81,1),(83,1),(145,1),(155,1),(157,1),(158,1)}
       117:{2,5,6}:{(81,1),(146,1),(158,1),(159,1),(338,1),(428,1)}
       118:{3,6,7}:{(82,1),(83,1),(420,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(132,1),(160,1),(163,1),(164,1),(221,1),(429,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(133,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(340,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(231,1),(261,1),(266,1),(271,1),(338,1),(354,1),(366,1),(367,1),(430,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(138,1),(163,1),(345,1),(428,1)}
       126:{2,3,5}:{(89,1),(140,1),(164,1),(169,1),(240,1),(338,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(144,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(338,1)}
       130:{2,4,7}:{(93,1),(94,1),(173,1),(175,1),(210,1)}
       131:{2,3,6}:{(93,1),(95,1),(175,1),(208,1),(272,1)}
       132:{1,4,5,7}:{(94,1),(98,1),(121,1),(174,1),(178,1),(180,1),(213,1),(281,1),(315,1)}
       133:{1,4,6}:{(94,1),(95,1),(99,1),(175,1),(180,1)}
       134:{1,3,6,7}:{(95,1),(96,1),(100,1),(176,1),(179,1),(181,1),(385,1),(465,1),(516,1)}
       135:{1,3,5,6}:{(95,1),(97,1),(101,1),(123,1),(177,1),(180,1),(181,1),(182,1),(184,1),(283,1),(285,1),(289,1),(385,1),(387,1),(465,1),(467,1),(516,1),(542,1)}
       136:{1,2,5,7}:{(96,1),(97,1),(102,1),(181,1),(183,1),(207,1),(310,1),(311,1),(386,1),(390,1),(464,1),(512,1)}
       137:{1,2,4,6}:{(97,1),(103,1),(124,1),(182,1),(183,1),(184,1),(194,1),(287,1),(299,1),(308,1),(312,1),(409,1),(477,1),(506,1)}
       138:{2,4,6}:{(98,1),(107,1),(125,1),(178,1),(186,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(108,1),(179,1),(187,1),(189,1),(293,1),(541,1)}
       140:{2,5}:{(99,1),(109,1),(180,1)}
       141:{2,3,5,7}:{(100,1),(101,1),(102,1),(110,1),(181,1),(187,1),(189,1),(191,1),(288,1),(294,1),(386,1),(512,1),(537,1),(548,1)}
       142:{2,4,6}:{(101,1),(111,1),(127,1),(182,1),(188,1),(189,1),(190,1),(515,1),(549,1)}
       143:{2,4,7}:{(102,1),(103,1),(104,1),(191,1)}
       144:{3,6}:{(103,1),(128,1),(191,1)}
       145:{1,3,4,7}:{(104,1),(105,1),(106,1),(116,1),(191,1),(193,1),(201,1),(298,1),(307,1),(403,1)}
       146:{2,4,6}:{(105,1),(117,1),(129,1),(192,1),(193,1),(194,1),(299,1)}
       147:{3,4,6,7}:{(107,1),(185,1),(195,1),(300,1),(320,1),(391,1)}
       148:{3,5,6}:{(107,1),(109,1),(186,1),(195,1),(196,1)}
       149:{3,5,7}:{(108,1),(109,1),(187,1),(197,1),(198,1),(550,1)}
       150:{4,5}:{(109,1),(111,1)}
       151:{3,5,6,7}:{(110,1),(112,1),(197,1),(200,1),(203,1),(305,1)}
       152:{4,7}:{(110,1),(111,1)}
       153:{3,4,6}:{(111,1),(114,1),(199,1),(201,1),(202,1)}
       154:{2,4,6,7}:{(112,1),(113,1),(115,1),(200,1),(203,1),(206,1),(293,1)}
       155:{3,5,7}:{(113,1),(114,1),(191,1),(201,1),(203,1)}
       156:{2,3,5,6}:{(114,1),(117,1),(192,1),(202,1),(204,1),(205,1),(295,1),(392,1),(397,1)}
       157:{1,3,6,7}:{(115,1),(116,1),(118,1),(203,1),(206,1),(385,1)}
       158:{2,5,7}:{(116,1),(117,1),(193,1),(206,1),(207,1)}
       159:{1,5,6}:{(117,1),(194,1),(207,1),(387,1),(465,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(178,1),(208,1),(272,1),(465,1)}
       164:{1,3,5}:{(122,1),(126,1),(180,1),(209,1),(213,1),(274,1),(313,1),(387,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(400,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(185,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(186,1),(212,1),(216,1),(217,1),(292,1),(384,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(192,1),(219,1),(220,1),(400,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(387,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(412,1)}
       174:{2,4,5,7}:{(130,1),(132,1),(160,1),(221,1),(223,1),(225,1),(261,1),(325,1),(326,1),(360,1),(412,1)}
       175:{2,4,6}:{(130,1),(131,1),(133,1),(222,1),(225,1)}
       176:{2,3,6,7}:{(131,1),(134,1),(224,1),(226,1),(259,1),(322,1),(359,1),(420,1),(428,1),(442,1),(497,1)}
       177:{2,3,5,6}:{(131,1),(135,1),(162,1),(225,1),(226,1),(227,1),(235,1),(257,1),(260,1),(323,1),(328,1),(330,1),(338,1),(358,1),(361,1),(420,1),(428,1),(435,1),(497,1),(499,1),(533,1)}
       178:{1,4,6}:{(132,1),(138,1),(163,1),(223,1),(229,1)}
       179:{1,4,6,7}:{(133,1),(134,1),(139,1),(224,1),(230,1),(232,1),(336,1),(532,1)}
       180:{1,5}:{(133,1),(140,1),(225,1)}
       181:{1,3,5,7}:{(134,1),(135,1),(136,1),(141,1),(226,1),(230,1),(232,1),(234,1),(341,1),(429,1)}
       182:{1,4,6}:{(135,1),(142,1),(165,1),(227,1),(231,1),(232,1),(496,1)}
       183:{1,2,4,7}:{(136,1),(137,1),(143,1),(232,1),(234,1),(245,1),(339,1),(350,1),(357,1),(360,1),(447,1),(502,1),(523,1)}
       184:{1,3,6}:{(137,1),(144,1),(166,1),(234,1),(235,1),(358,1),(361,1),(524,1)}
       185:{2,4,6,7}:{(138,1),(147,1),(167,1),(228,1),(236,1),(268,1)}
       186:{2,5,6}:{(138,1),(140,1),(148,1),(229,1),(236,1)}
       187:{2,5,7}:{(139,1),(140,1),(149,1),(230,1),(238,1),(547,1)}
       188:{2,4,5}:{(140,1),(142,1),(150,1),(231,1),(240,1),(338,1),(547,1),(552,1)}
       189:{2,4,7}:{(141,1),(142,1),(152,1),(232,1),(241,1),(551,1)}
       190:{3,4,6}:{(142,1),(144,1),(170,1),(240,1),(241,1),(345,1),(524,1),(528,1)}
       191:{3,7}:{(143,1),(144,1)}
       192:{2,3,6}:{(144,1),(146,1),(171,1),(243,1),(244,1),(358,1)}
       193:{2,4,7}:{(145,1),(146,1),(158,1),(243,1),(245,1),(350,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(244,1),(245,1)}
       195:{3,5,7}:{(147,1),(148,1),(236,1),(247,1)}
       196:{4,5,6}:{(148,1),(150,1),(247,1),(248,1)}
       197:{3,5,6}:{(149,1),(238,1),(248,1),(345,1)}
       198:{4,5,7}:{(149,1),(150,1),(152,1),(248,1),(551,1),(552,1)}
       199:{3,4,5}:{(150,1),(153,1),(240,1),(250,1),(528,1)}
       200:{4,6,7}:{(151,1),(152,1),(248,1),(251,1)}
       201:{3,4,7}:{(152,1),(153,1),(155,1),(253,1)}
       202:{2,4,6}:{(153,1),(156,1),(250,1),(253,1),(254,1)}
       203:{3,6,7}:{(154,1),(155,1),(345,1)}
       204:{2,3,5,7}:{(155,1),(156,1),(158,1),(243,1),(253,1),(255,1),(256,1),(355,1)}
       205:{1,3,5,6}:{(156,1),(159,1),(244,1),(254,1),(256,1),(257,1),(347,1),(358,1),(433,1),(437,1),(499,1)}
       206:{2,6,7}:{(157,1),(158,1),(258,1),(428,1)}
       207:{1,5,7}:{(158,1),(159,1),(245,1),(258,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(228,1),(259,1),(263,1),(322,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(229,1),(260,1),(263,1),(264,1),(323,1),(361,1),(427,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(440,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(338,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(236,1),(263,1),(268,1),(344,1),(426,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(240,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(440,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(244,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(174,1),(272,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(175,1),(272,1),(274,1),(370,1)}
       223:{2,4,6}:{(174,1),(178,1),(208,1),(272,1),(276,1),(370,1)}
       224:{2,4,6,7}:{(175,1),(176,1),(179,1),(273,1),(277,1),(279,1),(377,1),(518,1)}
       225:{2,5}:{(175,1),(180,1),(274,1)}
       226:{2,3,5,7}:{(176,1),(177,1),(181,1),(277,1),(279,1),(288,1),(310,1),(311,1),(369,1),(378,1),(386,1),(403,1),(404,1),(475,1)}
       227:{2,4,6}:{(177,1),(182,1),(210,1),(278,1),(279,1),(280,1),(370,1),(471,1),(519,1)}
       228:{1,4,6,7}:{(178,1),(185,1),(211,1),(275,1),(281,1),(315,1)}
       229:{1,5,6}:{(178,1),(180,1),(186,1),(276,1),(281,1)}
       230:{1,5,7}:{(179,1),(180,1),(187,1),(277,1),(283,1),(542,1)}
       231:{1,4,5}:{(180,1),(182,1),(188,1),(278,1),(285,1),(387,1),(542,1)}
       232:{1,4,7}:{(181,1),(182,1),(189,1),(279,1)}
       233:{1,3,4,6}:{(182,1),(184,1),(190,1),(214,1),(280,1),(285,1),(286,1),(287,1),(385,1)}
       234:{1,3,7}:{(183,1),(184,1),(191,1),(288,1),(403,1),(404,1),(537,1)}
       235:{2,3,6}:{(184,1),(215,1),(287,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,7}:{(185,1),(186,1),(195,1),(281,1)}
       237:{2,4,5,6}:{(186,1),(188,1),(196,1),(217,1),(282,1),(291,1),(292,1),(293,1),(384,1),(506,1),(538,1),(549,1)}
       238:{2,5,6}:{(187,1),(197,1),(283,1),(293,1)}
       239:{2,4,5,7}:{(187,1),(188,1),(189,1),(198,1),(284,1),(293,1),(294,1),(386,1)}
       240:{3,5}:{(188,1),(190,1)}
       241:{3,4,7}:{(189,1),(190,1),(191,1),(294,1),(537,1)}
       242:{2,3,4,6}:{(190,1),(192,1),(202,1),(219,1),(287,1),(295,1),(296,1),(297,1),(392,1),(462,1),(515,1),(541,1)}
       243:{2,3,7}:{(191,1),(192,1),(193,1),(298,1),(403,1)}
       244:{1,3,6}:{(192,1),(194,1),(220,1),(298,1),(299,1)}
       245:{1,4,7}:{(193,1),(194,1),(207,1),(298,1)}
       246:{3,5,6,7}:{(195,1),(197,1),(290,1),(300,1),(391,1),(548,1)}
       247:{4,5,7}:{(195,1),(196,1),(300,1)}
       248:{4,6}:{(197,1),(198,1)}
       249:{3,4,5,7}:{(198,1),(199,1),(201,1),(294,1),(302,1),(303,1),(305,1),(540,1),(550,1)}
       250:{2,4,5}:{(199,1),(202,1),(295,1),(304,1),(515,1)}
       251:{4,5,7}:{(200,1),(301,1),(305,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(203,1),(302,1),(305,1),(306,1)}
       253:{2,4,7}:{(201,1),(202,1),(204,1),(307,1)}
       254:{1,4,6}:{(202,1),(205,1),(304,1),(307,1),(308,1),(519,1)}
       255:{2,3,6,7}:{(203,1),(204,1),(206,1),(306,1),(309,1),(392,1)}
       256:{1,3,5,7}:{(204,1),(205,1),(207,1),(298,1),(307,1),(309,1),(310,1),(401,1),(403,1),(475,1)}
       257:{2,5,6}:{(205,1),(299,1),(308,1),(310,1),(394,1),(469,1)}
       258:{1,6,7}:{(206,1),(207,1),(465,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(281,1),(311,1),(315,1),(369,1),(404,1),(464,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(370,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(285,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(387,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(292,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,6}:{(221,1),(223,1)}
       273:{3,4,6,7}:{(222,1),(224,1),(322,1),(324,1),(331,1),(412,1),(414,1),(420,1),(442,1),(500,1),(501,1)}
       274:{3,5}:{(222,1),(225,1),(325,1)}
       275:{2,4,6,7}:{(223,1),(228,1),(259,1),(322,1),(326,1),(360,1),(412,1)}
       276:{2,5,6}:{(223,1),(225,1),(229,1),(323,1),(326,1)}
       277:{2,5,7}:{(224,1),(225,1),(230,1),(324,1),(328,1),(533,1)}
       278:{2,4,5}:{(225,1),(227,1),(231,1),(325,1),(330,1),(338,1),(533,1),(534,1)}
       279:{2,4,7}:{(226,1),(227,1),(232,1),(331,1),(412,1),(501,1)}
       280:{3,4,6}:{(227,1),(262,1),(330,1),(331,1),(358,1),(361,1),(420,1),(440,1)}
       281:{1,5,7}:{(228,1),(229,1),(236,1),(326,1)}
       282:{1,4,5,6}:{(229,1),(231,1),(237,1),(264,1),(327,1),(334,1),(335,1),(336,1),(427,1),(481,1),(525,1)}
       283:{1,5,6}:{(230,1),(238,1),(328,1),(336,1)}
       284:{1,4,5,7}:{(230,1),(231,1),(232,1),(239,1),(329,1),(336,1),(337,1),(429,1)}
       285:{1,3,5}:{(231,1),(233,1),(240,1),(330,1),(338,1)}
       286:{1,3,4,7}:{(232,1),(233,1),(234,1),(241,1),(331,1),(337,1),(339,1)}
       287:{2,4,6}:{(233,1),(235,1),(266,1),(338,1),(339,1),(340,1),(428,1)}
       288:{2,3,7}:{(234,1),(235,1),(339,1),(341,1),(350,1),(502,1)}
       289:{1,3,6}:{(235,1),(267,1),(340,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(238,1),(246,1),(333,1),(343,1),(543,1)}
       291:{2,4,5,7}:{(236,1),(237,1),(247,1),(268,1),(334,1),(343,1),(344,1),(426,1),(523,1),(543,1),(551,1)}
       292:{3,5,6}:{(237,1),(240,1),(269,1),(344,1),(345,1),(524,1)}
       293:{2,4,6}:{(238,1),(239,1),(248,1),(336,1),(345,1),(428,1)}
       294:{3,5,7}:{(239,1),(240,1),(241,1),(345,1)}
       295:{2,3,5}:{(240,1),(242,1),(250,1),(338,1),(347,1),(547,1)}
       296:{2,3,4,7}:{(241,1),(242,1),(243,1),(253,1),(339,1),(346,1),(348,1),(492,1),(531,1)}
       297:{1,3,4,6}:{(242,1),(244,1),(254,1),(270,1),(340,1),(347,1),(348,1),(349,1),(358,1),(432,1),(433,1),(440,1),(496,1),(500,1),(532,1)}
       298:{1,3,7}:{(243,1),(244,1),(245,1),(350,1)}
       299:{2,6}:{(244,1),(271,1),(350,1)}
       300:{4,6,7}:{(246,1),(247,1),(248,1),(551,1)}
       301:{4,5,6}:{(248,1),(251,1),(351,1),(552,1)}
       302:{3,4,6}:{(248,1),(249,1),(345,1),(351,1),(352,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(346,1),(352,1),(353,1),(355,1),(531,1),(547,1)}
       304:{1,4,5}:{(250,1),(254,1),(347,1),(354,1),(496,1),(534,1)}
       305:{3,5,7}:{(251,1),(252,1),(351,1),(355,1)}
       306:{2,4,6,7}:{(252,1),(253,1),(255,1),(352,1),(355,1),(356,1)}
       307:{1,4,7}:{(253,1),(254,1),(256,1),(357,1),(501,1)}
       308:{2,4,6}:{(254,1),(257,1),(354,1),(357,1),(358,1)}
       309:{1,3,6,7}:{(255,1),(256,1),(258,1),(356,1),(359,1),(433,1),(442,1)}
       310:{2,5,7}:{(256,1),(257,1),(350,1),(357,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(412,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(335,1),(361,1),(364,1),(365,1),(413,1),(444,1),(481,1),(524,1)}
       317:{2,4,5}:{(265,1),(266,1),(338,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(344,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,6,7}:{(272,1),(275,1),(369,1),(404,1)}
       323:{3,5,6}:{(272,1),(274,1),(276,1),(369,1),(370,1)}
       324:{3,5,7}:{(273,1),(274,1),(277,1),(371,1),(372,1),(520,1)}
       325:{4,5}:{(274,1),(370,1)}
       326:{2,5,7}:{(275,1),(276,1),(281,1),(369,1)}
       327:{2,4,5,6}:{(276,1),(278,1),(282,1),(312,1),(370,1),(375,1),(376,1),(377,1),(384,1),(450,1),(451,1),(507,1)}
       328:{2,5,6}:{(277,1),(283,1),(371,1),(377,1)}
       329:{2,4,5,7}:{(277,1),(278,1),(279,1),(284,1),(372,1),(377,1),(378,1),(386,1)}
       330:{3,5}:{(278,1),(280,1)}
       331:{3,4,7}:{(279,1),(280,1),(378,1),(403,1),(404,1)}
       332:{2,3,4,6}:{(280,1),(287,1),(314,1),(379,1),(380,1),(381,1),(396,1),(405,1),(450,1),(458,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(283,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,5,7}:{(281,1),(282,1),(291,1),(315,1),(375,1),(382,1),(383,1),(464,1),(505,1),(535,1)}
       335:{1,3,5,6}:{(282,1),(285,1),(292,1),(316,1),(376,1),(383,1),(384,1),(385,1)}
       336:{1,4,6}:{(283,1),(284,1),(293,1),(377,1),(385,1),(465,1)}
       337:{1,3,5,7}:{(284,1),(285,1),(286,1),(294,1),(378,1),(385,1),(386,1)}
       338:{2,5}:{(285,1),(287,1),(387,1)}
       339:{2,4,7}:{(286,1),(287,1),(288,1),(386,1),(388,1)}
       340:{1,4,6}:{(287,1),(289,1),(318,1),(387,1),(388,1),(465,1)}
       341:{1,3,7}:{(288,1),(289,1),(388,1),(390,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(390,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(293,1),(300,1),(382,1),(391,1),(463,1)}
       344:{3,5,7}:{(291,1),(292,1),(320,1),(391,1),(537,1)}
       345:{3,6}:{(293,1),(294,1)}
       346:{2,3,5,7}:{(294,1),(295,1),(296,1),(303,1),(386,1),(392,1),(393,1)}
       347:{1,3,5}:{(295,1),(297,1),(304,1),(387,1),(394,1),(400,1),(520,1),(542,1)}
       348:{1,3,4,7}:{(296,1),(297,1),(298,1),(307,1),(388,1),(393,1),(395,1),(403,1),(468,1),(474,1),(517,1)}
       349:{2,4,6}:{(297,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       350:{2,7}:{(298,1),(299,1)}
       351:{3,5,6}:{(301,1),(302,1),(305,1),(397,1),(550,1)}
       352:{2,4,6}:{(302,1),(303,1),(392,1),(397,1),(398,1)}
       353:{1,4,5,7}:{(303,1),(304,1),(307,1),(393,1),(398,1),(399,1),(401,1),(517,1),(542,1)}
       354:{2,4,5}:{(304,1),(308,1),(394,1),(400,1),(471,1)}
       355:{2,5,7}:{(305,1),(306,1),(397,1),(401,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(309,1),(398,1),(401,1),(402,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(403,1)}
       358:{3,6}:{(308,1),(400,1),(403,1)}
       359:{2,6,7}:{(309,1),(310,1),(469,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(383,1),(404,1),(408,1),(449,1),(476,1),(505,1),(537,1)}
       365:{2,4,6}:{(316,1),(317,1),(384,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(387,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,7}:{(322,1),(323,1),(326,1),(412,1)}
       370:{4,6}:{(323,1),(325,1),(412,1)}
       371:{3,5,6}:{(324,1),(328,1),(414,1),(420,1)}
       372:{4,5,7}:{(324,1),(325,1),(412,1),(414,1),(501,1),(534,1)}
       373:{3,4,5}:{(325,1),(330,1),(413,1),(416,1),(440,1)}
       374:{2,5,6,7}:{(326,1),(328,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,5,7}:{(326,1),(327,1),(334,1),(360,1),(412,1),(417,1),(418,1),(426,1),(478,1),(480,1),(521,1)}
       376:{3,5,6}:{(327,1),(330,1),(361,1),(413,1),(418,1),(420,1)}
       377:{2,4,6}:{(328,1),(329,1),(336,1),(414,1),(420,1),(428,1)}
       378:{3,5,7}:{(329,1),(330,1),(331,1),(420,1)}
       379:{2,3,5}:{(330,1),(332,1),(338,1),(416,1),(422,1),(533,1)}
       380:{2,3,4,7}:{(331,1),(332,1),(339,1),(421,1),(423,1),(436,1),(443,1),(480,1),(498,1)}
       381:{1,3,4,6}:{(332,1),(340,1),(363,1),(422,1),(423,1),(424,1),(432,1),(444,1),(481,1),(489,1),(496,1),(524,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(336,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,5,7}:{(334,1),(335,1),(344,1),(364,1),(418,1),(425,1),(426,1)}
       384:{2,5,6}:{(335,1),(338,1),(365,1),(426,1),(427,1),(428,1)}
       385:{1,3,6}:{(336,1),(337,1),(345,1),(420,1),(428,1)}
       386:{2,5,7}:{(337,1),(338,1),(339,1),(428,1),(429,1)}
       387:{1,5}:{(338,1),(340,1)}
       388:{1,4,7}:{(339,1),(340,1),(341,1),(429,1)}
       389:{1,2,4,6}:{(340,1),(342,1),(349,1),(367,1),(424,1),(430,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       390:{1,2,7}:{(341,1),(342,1),(350,1),(502,1)}
       391:{3,6,7}:{(343,1),(344,1),(345,1)}
       392:{2,3,6}:{(345,1),(346,1),(352,1),(428,1),(433,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(429,1),(433,1),(434,1),(439,1)}
       394:{2,5}:{(347,1),(349,1)}
       395:{2,4,7}:{(348,1),(349,1),(350,1),(434,1),(436,1)}
       396:{2,3,6}:{(349,1),(358,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,4,6}:{(352,1),(353,1),(433,1),(437,1),(438,1)}
       399:{2,4,5,7}:{(353,1),(354,1),(357,1),(434,1),(438,1),(439,1),(441,1),(498,1),(501,1),(533,1),(534,1)}
       400:{3,5}:{(354,1),(358,1),(440,1)}
       401:{1,5,7}:{(355,1),(356,1),(437,1),(441,1)}
       402:{2,4,6,7}:{(356,1),(357,1),(359,1),(438,1),(441,1),(442,1),(501,1)}
       403:{3,7}:{(357,1),(358,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(524,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(426,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(427,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(448,1),(455,1),(503,1)}
       412:{4,7}:{(369,1),(370,1)}
       413:{3,4,6}:{(370,1),(373,1),(376,1),(449,1),(450,1)}
       414:{4,6}:{(371,1),(372,1)}
       415:{3,4,5,7}:{(372,1),(373,1),(378,1),(449,1),(452,1),(453,1),(474,1),(503,1),(520,1)}
       416:{2,4,5}:{(373,1),(379,1),(450,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(377,1),(382,1),(448,1),(455,1),(463,1)}
       418:{3,5,7}:{(375,1),(376,1),(404,1),(449,1),(455,1)}
       419:{2,3,5,6}:{(376,1),(379,1),(384,1),(405,1),(450,1),(456,1),(457,1),(458,1),(507,1)}
       420:{3,6}:{(377,1),(378,1)}
       421:{2,3,5,7}:{(378,1),(379,1),(380,1),(386,1),(453,1),(458,1),(459,1)}
       422:{1,3,5}:{(379,1),(381,1),(387,1),(454,1),(460,1),(510,1),(542,1),(550,1)}
       423:{1,3,4,7}:{(380,1),(381,1),(388,1),(459,1),(461,1),(468,1),(476,1),(505,1),(517,1),(537,1),(540,1)}
       424:{2,4,6}:{(381,1),(407,1),(460,1),(461,1),(462,1),(477,1),(513,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(385,1),(391,1),(455,1),(463,1)}
       426:{2,5,7}:{(383,1),(384,1),(408,1),(463,1),(464,1)}
       427:{1,5,6}:{(384,1),(387,1),(409,1),(464,1),(465,1)}
       428:{2,6}:{(385,1),(386,1),(465,1)}
       429:{1,5,7}:{(386,1),(387,1),(388,1),(465,1)}
       430:{1,2,5}:{(387,1),(389,1),(394,1),(460,1),(467,1),(542,1)}
       431:{1,2,4,7}:{(388,1),(389,1),(390,1),(395,1),(461,1),(466,1),(468,1),(517,1)}
       432:{1,3,6}:{(389,1),(396,1),(410,1),(462,1),(467,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(398,1),(465,1),(469,1),(473,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,5}:{(394,1),(396,1),(400,1),(467,1),(471,1)}
       436:{2,3,7}:{(395,1),(396,1),(403,1),(468,1)}
       437:{1,5,6}:{(397,1),(398,1),(401,1),(472,1),(542,1)}
       438:{2,4,6}:{(398,1),(399,1),(469,1),(472,1),(473,1),(519,1)}
       439:{3,5,7}:{(399,1),(400,1),(403,1),(473,1),(474,1),(520,1)}
       440:{3,4}:{(400,1),(471,1)}
       441:{2,5,7}:{(401,1),(402,1),(472,1),(475,1)}
       442:{3,6,7}:{(402,1),(403,1),(473,1),(475,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(537,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(464,1),(476,1)}
       448:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       449:{3,4,7}:{(412,1),(413,1),(418,1),(480,1)}
       450:{2,4,6}:{(413,1),(416,1),(419,1),(480,1),(481,1)}
       451:{4,5,6}:{(414,1),(478,1),(482,1),(534,1)}
       452:{3,4,6}:{(414,1),(415,1),(420,1),(482,1),(483,1)}
       453:{2,4,5,7}:{(415,1),(416,1),(421,1),(480,1),(483,1),(484,1),(498,1),(521,1),(533,1)}
       454:{1,4,5}:{(416,1),(422,1),(481,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(420,1)}
       456:{2,3,5,7}:{(418,1),(419,1),(426,1),(443,1),(480,1),(486,1),(487,1),(521,1)}
       457:{1,3,5,6}:{(419,1),(422,1),(427,1),(444,1),(481,1),(487,1),(488,1),(489,1),(524,1),(525,1),(545,1)}
       458:{2,3,6}:{(420,1),(421,1),(428,1),(483,1),(489,1)}
       459:{1,3,5,7}:{(421,1),(422,1),(423,1),(429,1),(484,1),(489,1),(490,1),(527,1)}
       460:{2,5}:{(422,1),(424,1)}
       461:{2,4,7}:{(423,1),(424,1),(490,1),(492,1),(502,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(491,1),(492,1),(524,1)}
       463:{2,6,7}:{(425,1),(426,1),(428,1),(493,1)}
       464:{1,5,7}:{(426,1),(427,1),(447,1),(493,1)}
       465:{1,6}:{(428,1),(429,1)}
       466:{1,2,5,7}:{(429,1),(430,1),(431,1),(434,1),(490,1),(494,1),(495,1)}
       467:{1,3,5}:{(430,1),(432,1),(435,1),(491,1),(496,1)}
       468:{1,3,7}:{(431,1),(432,1),(436,1),(492,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(439,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(435,1),(440,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(441,1),(499,1),(533,1)}
       473:{3,6}:{(438,1),(439,1)}
       474:{3,4,7}:{(439,1),(440,1),(498,1),(500,1),(501,1)}
       475:{3,5,7}:{(441,1),(442,1),(499,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(451,1),(503,1)}
       479:{3,4,6,7}:{(448,1),(449,1),(452,1),(455,1),(503,1),(504,1)}
       480:{2,4,7}:{(449,1),(450,1),(456,1),(505,1)}
       481:{1,4,6}:{(450,1),(454,1),(457,1),(505,1),(506,1),(549,1)}
       482:{3,5,6}:{(451,1),(452,1),(503,1),(507,1),(520,1)}
       483:{2,4,6}:{(452,1),(453,1),(458,1),(507,1),(508,1)}
       484:{1,4,5,7}:{(453,1),(454,1),(459,1),(505,1),(508,1),(509,1),(517,1),(535,1),(542,1)}
       485:{2,4,5}:{(454,1),(460,1),(506,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(458,1),(463,1),(504,1),(511,1)}
       487:{1,3,5,7}:{(456,1),(457,1),(464,1),(476,1),(505,1),(511,1),(512,1),(535,1),(537,1),(548,1)}
       488:{2,5,6}:{(457,1),(460,1),(477,1),(506,1),(512,1),(513,1)}
       489:{1,3,6}:{(458,1),(459,1),(465,1),(508,1),(513,1),(539,1)}
       490:{2,5,7}:{(459,1),(460,1),(461,1),(513,1)}
       491:{2,3,5}:{(460,1),(462,1),(467,1),(510,1),(515,1)}
       492:{2,3,7}:{(461,1),(462,1),(468,1),(537,1)}
       493:{1,6,7}:{(463,1),(464,1),(465,1)}
       494:{1,2,6}:{(465,1),(466,1),(469,1),(513,1),(516,1)}
       495:{1,3,5,7}:{(466,1),(467,1),(468,1),(470,1),(514,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(467,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(473,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(474,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(475,1),(519,1),(520,1)}
       500:{3,4,6}:{(473,1),(474,1),(518,1),(519,1),(520,1)}
       501:{4,7}:{(475,1),(519,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(482,1),(521,1)}
       504:{2,4,6,7}:{(479,1),(480,1),(483,1),(486,1),(521,1),(522,1)}
       505:{1,4,7}:{(480,1),(481,1),(487,1),(523,1),(551,1)}
       506:{2,4,6}:{(481,1),(485,1),(488,1),(523,1),(524,1)}
       507:{2,5,6}:{(482,1),(483,1),(521,1),(525,1),(533,1)}
       508:{1,4,6}:{(483,1),(484,1),(489,1),(525,1),(526,1)}
       509:{2,4,5,7}:{(484,1),(485,1),(490,1),(523,1),(526,1),(527,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       510:{3,5}:{(485,1),(524,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(489,1),(493,1),(522,1),(529,1),(544,1)}
       512:{2,5,7}:{(487,1),(488,1),(502,1),(523,1),(529,1)}
       513:{2,6}:{(489,1),(490,1)}
       514:{2,3,5,7}:{(490,1),(491,1),(492,1),(495,1),(527,1),(530,1),(531,1),(547,1)}
       515:{2,4}:{(491,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(500,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(501,1),(534,1)}
       520:{3,5}:{(500,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(507,1),(535,1)}
       522:{1,4,6,7}:{(504,1),(505,1),(508,1),(511,1),(535,1),(536,1)}
       523:{2,4,7}:{(505,1),(506,1),(512,1),(537,1)}
       524:{3,6}:{(506,1),(510,1),(537,1)}
       525:{1,5,6}:{(507,1),(508,1),(535,1),(538,1),(542,1)}
       526:{2,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1),(549,1)}
       527:{3,5,7}:{(509,1),(510,1),(537,1),(539,1),(540,1),(550,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(513,1)}
       530:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       531:{2,4,7}:{(514,1),(515,1),(517,1),(540,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(525,1),(543,1)}
       536:{2,4,6,7}:{(522,1),(523,1),(526,1),(529,1),(543,1),(544,1),(551,1)}
       537:{3,7}:{(523,1),(524,1)}
       538:{2,5,6}:{(525,1),(526,1),(543,1),(545,1),(547,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{3,4,7}:{(527,1),(528,1),(531,1),(546,1),(551,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(538,1),(548,1)}
       544:{3,6,7}:{(536,1),(537,1),(539,1),(548,1)}
       545:{3,5,6}:{(538,1),(539,1),(548,1),(549,1),(550,1)}
       546:{3,4,6}:{(539,1),(540,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(545,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 398 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(124,1)}
         1:{4,5,6}:{(6,1),(7,1),(135,1),(149,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(9,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(76,1),(111,1)}
         4:{2,3,4}:{(5,1),(11,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(12,1),(13,1)}
         6:{3,5,6}:{(1,1),(2,1),(14,1),(15,1),(124,1),(146,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{2,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1),(18,1)}
         9:{3,4,7}:{(2,1),(15,1),(18,1)}
        10:{1,4,5}:{(3,1),(13,1),(17,1),(19,1),(62,1),(96,1)}
        11:{1,3,4}:{(4,1),(13,1),(20,1),(42,1),(43,1),(62,1)}
        12:{2,3,6}:{(5,1),(8,1),(21,1),(22,1)}
        13:{1,3,5}:{(5,1),(10,1),(11,1),(21,1),(23,1),(30,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(111,1),(140,1)}
        15:{3,5,7}:{(6,1),(7,1),(9,1),(25,1),(26,1)}
        16:{4,6,7}:{(7,1),(26,1),(27,1),(149,1)}
        17:{1,4,6}:{(8,1),(10,1),(21,1),(24,1),(28,1),(29,1)}
        18:{2,4,7}:{(8,1),(9,1),(22,1),(25,1),(29,1)}
        19:{2,4,5}:{(10,1),(23,1),(28,1),(30,1),(49,1),(80,1),(83,1)}
        20:{2,4}:{(11,1),(23,1),(32,1)}
        21:{1,3,6}:{(12,1),(13,1),(17,1),(34,1),(35,1),(40,1)}
        22:{2,3,7}:{(12,1),(18,1),(35,1)}
        23:{2,5}:{(13,1),(20,1),(34,1)}
        24:{1,5,6}:{(14,1),(17,1),(37,1),(38,1),(96,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1)}
        26:{3,6,7}:{(15,1),(16,1),(39,1),(146,1)}
        27:{5,6,7}:{(16,1),(152,1)}
        28:{2,4,6}:{(17,1),(19,1),(34,1),(37,1),(40,1),(41,1),(66,1)}
        29:{1,4,7}:{(17,1),(18,1),(35,1),(38,1),(41,1)}
        30:{3,5}:{(19,1),(40,1),(42,1)}
        31:{1,2,4}:{(20,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(20,1),(43,1)}
        33:{1,2,5}:{(23,1),(31,1),(45,1),(46,1),(89,1)}
        34:{2,6}:{(21,1),(23,1),(48,1)}
        35:{1,3,7}:{(21,1),(22,1),(29,1),(48,1),(54,1)}
        36:{2,3,5}:{(23,1),(30,1),(32,1),(46,1),(47,1),(49,1),(80,1)}
        37:{2,5,6}:{(24,1),(28,1),(50,1),(51,1),(80,1),(118,1)}
        38:{1,5,7}:{(24,1),(25,1),(29,1),(51,1),(52,1)}
        39:{2,6,7}:{(25,1),(26,1),(52,1),(140,1)}
        40:{3,6}:{(28,1),(30,1),(54,1)}
        41:{2,4,7}:{(28,1),(29,1),(48,1),(51,1),(54,1),(84,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(34,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(60,1),(62,1),(96,1)}
        47:{2,3,6}:{(34,1),(36,1),(40,1),(60,1),(63,1),(64,1)}
        48:{2,7}:{(34,1),(35,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{3,5,6}:{(37,1),(40,1),(66,1),(67,1),(69,1),(106,1),(134,1)}
        51:{2,5,7}:{(37,1),(38,1),(41,1),(67,1),(68,1)}
        52:{1,6,7}:{(38,1),(39,1),(68,1),(131,1)}
        53:{3,4,6}:{(40,1),(42,1),(63,1),(66,1),(69,1),(70,1),(106,1)}
        54:{3,7}:{(40,1),(41,1)}
        55:{3,4,5}:{(42,1),(65,1),(69,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(111,1)}
        60:{1,3,6}:{(45,1),(46,1),(47,1),(75,1),(77,1),(78,1)}
        61:{1,2,7}:{(45,1),(48,1),(78,1),(123,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,4,6}:{(47,1),(49,1),(53,1),(77,1),(80,1),(81,1),(118,1)}
        64:{2,3,7}:{(47,1),(48,1),(54,1),(78,1),(81,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(80,1),(82,1)}
        66:{4,6}:{(50,1),(83,1),(84,1)}
        67:{3,5,7}:{(50,1),(51,1),(54,1),(84,1),(85,1),(121,1)}
        68:{2,6,7}:{(51,1),(52,1),(85,1),(118,1)}
        69:{3,5}:{(53,1),(80,1),(83,1)}
        70:{3,4,7}:{(53,1),(54,1),(81,1),(84,1),(87,1)}
        71:{3,4,6}:{(55,1),(82,1),(86,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(60,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,4,6}:{(60,1),(62,1),(63,1),(93,1),(96,1),(97,1),(131,1)}
        78:{1,3,7}:{(60,1),(61,1),(64,1),(94,1),(97,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(96,1),(98,1)}
        80:{2,5}:{(63,1),(69,1),(96,1)}
        81:{2,4,7}:{(63,1),(64,1),(70,1),(97,1),(100,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(99,1),(101,1)}
        83:{4,5}:{(66,1),(69,1)}
        84:{4,7}:{(66,1),(67,1)}
        85:{3,6,7}:{(67,1),(68,1),(104,1),(106,1)}
        86:{3,5,6}:{(69,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        87:{3,5,7}:{(69,1),(70,1),(100,1),(103,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(105,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,4,6}:{(75,1),(76,1),(77,1),(109,1),(111,1),(112,1),(140,1)}
        94:{2,3,7}:{(75,1),(78,1),(112,1),(123,1),(138,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(111,1),(113,1),(135,1)}
        96:{1,5}:{(77,1),(80,1),(111,1)}
        97:{1,4,7}:{(77,1),(78,1),(81,1),(112,1),(115,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(114,1),(116,1)}
        99:{2,5,6}:{(80,1),(82,1),(86,1),(114,1),(117,1),(118,1)}
       100:{2,5,7}:{(80,1),(81,1),(87,1),(115,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(117,1)}
       102:{4,5,6}:{(83,1),(86,1),(119,1),(120,1)}
       103:{4,5,7}:{(83,1),(84,1),(87,1),(120,1),(121,1)}
       104:{4,6,7}:{(84,1),(85,1),(120,1),(121,1)}
       105:{3,5,7}:{(86,1),(88,1),(117,1),(119,1),(122,1)}
       106:{3,6}:{(87,1),(118,1),(120,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(93,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,5}:{(93,1),(96,1),(124,1)}
       112:{2,4,7}:{(93,1),(94,1),(97,1),(125,1),(128,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(127,1),(129,1),(143,1)}
       114:{1,5,6}:{(96,1),(98,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,5,7}:{(96,1),(97,1),(100,1),(128,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(130,1)}
       117:{2,5,7}:{(99,1),(101,1),(105,1),(130,1),(132,1)}
       118:{2,6}:{(100,1),(106,1),(131,1)}
       119:{4,5,7}:{(102,1),(105,1),(133,1)}
       120:{4,6}:{(103,1),(106,1),(134,1)}
       121:{5,7}:{(104,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(133,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,5}:{(109,1),(111,1),(135,1)}
       125:{3,4,7}:{(109,1),(112,1),(137,1),(138,1),(148,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,6}:{(111,1),(113,1),(114,1),(136,1),(139,1),(140,1)}
       128:{2,5,7}:{(111,1),(112,1),(115,1),(137,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(139,1),(148,1)}
       130:{1,5,7}:{(114,1),(116,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(115,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(122,1),(142,1)}
       134:{5,6}:{(120,1),(121,1)}
       135:{4,5}:{(124,1),(143,1)}
       136:{3,5,6}:{(124,1),(126,1),(127,1),(143,1),(145,1),(146,1),(152,1)}
       137:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(146,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,5,7}:{(127,1),(129,1),(130,1),(145,1),(147,1)}
       140:{2,6}:{(128,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(136,1),(148,1)}
       144:{4,5,7}:{(135,1),(137,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(136,1),(138,1),(139,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(137,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 399 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(127,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(108,1),(127,1)}
         4:{3,4,6}:{(1,1),(3,1),(10,1),(11,1)}
         5:{2,5,6}:{(1,1),(10,1),(12,1),(13,1),(115,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         7:{4,6,7}:{(2,1),(14,1),(15,1),(149,1)}
         8:{2,4,5}:{(3,1),(10,1),(16,1),(17,1),(91,1),(115,1)}
         9:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(8,1),(19,1),(20,1),(21,1)}
        11:{3,4,7}:{(4,1),(6,1),(21,1)}
        12:{1,5,6}:{(5,1),(20,1),(22,1),(23,1),(100,1),(132,1)}
        13:{2,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{3,6,7}:{(6,1),(7,1),(24,1),(146,1)}
        15:{5,6,7}:{(7,1),(152,1)}
        16:{2,3,5}:{(8,1),(9,1),(19,1),(25,1)}
        17:{1,4,5}:{(8,1),(20,1),(25,1),(26,1),(75,1),(100,1)}
        18:{1,3,4}:{(9,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(10,1),(16,1),(28,1),(29,1)}
        20:{1,4,6}:{(10,1),(12,1),(17,1),(28,1),(30,1),(31,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(29,1),(31,1)}
        22:{2,5,6}:{(12,1),(30,1),(32,1),(33,1),(84,1),(120,1)}
        23:{1,5,7}:{(12,1),(13,1),(31,1),(33,1),(34,1)}
        24:{2,6,7}:{(13,1),(14,1),(34,1),(140,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(28,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(30,1),(35,1),(36,1),(56,1),(60,1),(84,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{1,3,6}:{(19,1),(20,1),(25,1),(39,1),(40,1),(41,1)}
        29:{2,3,7}:{(19,1),(21,1),(40,1)}
        30:{2,4,6}:{(20,1),(22,1),(26,1),(39,1),(41,1),(42,1),(43,1)}
        31:{1,4,7}:{(20,1),(21,1),(23,1),(40,1),(42,1)}
        32:{3,5,6}:{(22,1),(41,1),(43,1),(44,1),(69,1),(105,1),(107,1)}
        33:{2,5,7}:{(22,1),(23,1),(42,1),(44,1),(45,1)}
        34:{1,6,7}:{(23,1),(24,1),(45,1),(132,1)}
        35:{2,5}:{(25,1),(27,1),(39,1)}
        36:{3,5}:{(26,1),(41,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{2,6}:{(28,1),(35,1),(53,1)}
        40:{1,3,7}:{(28,1),(29,1),(31,1),(53,1),(55,1)}
        41:{3,6}:{(30,1),(36,1),(55,1)}
        42:{2,4,7}:{(30,1),(31,1),(33,1),(53,1),(55,1),(57,1)}
        43:{4,6}:{(32,1),(56,1),(57,1)}
        44:{3,5,7}:{(32,1),(33,1),(55,1),(57,1),(58,1),(90,1)}
        45:{2,6,7}:{(33,1),(34,1),(58,1),(120,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(52,1),(59,1),(60,1),(84,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(39,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,3,6}:{(39,1),(41,1),(47,1),(65,1),(67,1),(68,1)}
        53:{2,7}:{(39,1),(40,1)}
        54:{3,4,6}:{(41,1),(43,1),(48,1),(67,1),(69,1),(70,1),(105,1)}
        55:{3,7}:{(41,1),(42,1)}
        56:{4,5}:{(43,1),(69,1)}
        57:{4,7}:{(43,1),(44,1)}
        58:{3,6,7}:{(44,1),(45,1),(73,1),(105,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(65,1),(74,1),(75,1),(100,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(69,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,3,6}:{(51,1),(52,1),(59,1),(81,1),(82,1),(83,1)}
        66:{1,2,7}:{(51,1),(53,1),(83,1),(126,1)}
        67:{2,4,6}:{(52,1),(54,1),(60,1),(82,1),(84,1),(85,1),(120,1)}
        68:{2,3,7}:{(52,1),(53,1),(55,1),(83,1),(85,1)}
        69:{3,5}:{(54,1),(56,1),(84,1)}
        70:{3,4,7}:{(54,1),(55,1),(57,1),(85,1),(87,1)}
        71:{4,5,6}:{(56,1),(86,1),(88,1),(89,1)}
        72:{4,5,7}:{(56,1),(57,1),(87,1),(89,1),(90,1)}
        73:{4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(115,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(84,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(86,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(65,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,4,6}:{(65,1),(67,1),(75,1),(98,1),(100,1),(101,1),(132,1)}
        83:{1,3,7}:{(65,1),(66,1),(68,1),(99,1),(101,1)}
        84:{2,5}:{(67,1),(69,1),(100,1)}
        85:{2,4,7}:{(67,1),(68,1),(70,1),(101,1),(103,1)}
        86:{3,5,6}:{(69,1),(71,1),(77,1),(102,1),(104,1),(105,1)}
        87:{3,5,7}:{(69,1),(70,1),(72,1),(103,1),(105,1)}
        88:{4,5,7}:{(71,1),(104,1),(106,1)}
        89:{4,6}:{(72,1),(105,1),(107,1)}
        90:{5,7}:{(73,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(100,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(102,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(104,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,4,6}:{(81,1),(82,1),(91,1),(114,1),(115,1),(116,1),(140,1)}
        99:{2,3,7}:{(81,1),(83,1),(116,1),(126,1),(142,1)}
       100:{1,5}:{(82,1),(84,1),(115,1)}
       101:{1,4,7}:{(82,1),(83,1),(85,1),(116,1),(118,1)}
       102:{2,5,6}:{(84,1),(86,1),(93,1),(117,1),(119,1),(120,1)}
       103:{2,5,7}:{(84,1),(85,1),(87,1),(118,1),(120,1)}
       104:{3,5,7}:{(86,1),(88,1),(94,1),(119,1),(121,1)}
       105:{3,6}:{(87,1),(89,1),(120,1)}
       106:{4,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       107:{5,6}:{(89,1),(90,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(115,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(117,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(119,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(98,1),(108,1),(127,1),(128,1),(134,1),(143,1),(146,1)}
       115:{2,5}:{(98,1),(100,1),(127,1)}
       116:{2,4,7}:{(98,1),(99,1),(101,1),(128,1),(130,1)}
       117:{1,5,6}:{(100,1),(102,1),(110,1),(129,1),(131,1),(132,1)}
       118:{1,5,7}:{(100,1),(101,1),(103,1),(130,1),(132,1)}
       119:{2,5,7}:{(102,1),(104,1),(111,1),(131,1),(133,1)}
       120:{2,6}:{(103,1),(105,1),(132,1)}
       121:{3,6,7}:{(104,1),(105,1),(106,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(129,1),(134,1),(135,1),(143,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(131,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,5}:{(114,1),(115,1),(136,1)}
       128:{3,4,7}:{(114,1),(116,1),(138,1),(142,1),(148,1)}
       129:{2,5,6}:{(115,1),(117,1),(124,1),(137,1),(139,1),(140,1)}
       130:{2,5,7}:{(115,1),(116,1),(118,1),(138,1),(140,1)}
       131:{1,5,7}:{(117,1),(119,1),(125,1),(139,1),(141,1)}
       132:{1,6}:{(118,1),(120,1),(140,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(139,1),(142,1),(148,1)}
       136:{4,5}:{(127,1),(143,1)}
       137:{3,5,6}:{(127,1),(129,1),(134,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       139:{2,5,7}:{(129,1),(131,1),(135,1),(145,1),(147,1)}
       140:{2,6}:{(130,1),(132,1),(146,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 400 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 401 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 402 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 403 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(36,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(55,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(56,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(36,1),(46,1),(69,1),(83,1),(103,1),(104,1),(126,1),(137,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(75,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(69,1),(113,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(29,1),(49,1),(55,1),(64,1),(87,1),(88,1),(99,1),(115,1),(119,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(116,1),(117,1),(132,1)}
        12:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(56,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(21,1),(25,1),(27,1),(28,1),(51,1),(59,1),(87,1),(88,1),(116,1),(117,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,6,7}:{(12,1),(31,1),(32,1),(33,1),(67,1),(69,1),(103,1)}
        20:{2,4,5,7}:{(10,1),(13,1),(34,1),(35,1),(36,1),(42,1),(66,1),(70,1),(81,1),(83,1),(101,1),(103,1),(106,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(15,1),(34,1),(36,1),(37,1),(45,1),(114,1),(124,1)}
        22:{1,4,6}:{(10,1),(12,1),(35,1),(37,1),(38,1),(75,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(33,1),(38,1),(39,1),(126,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(36,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(37,1),(41,1),(44,1),(45,1),(71,1),(77,1),(79,1),(81,1),(105,1),(110,1),(112,1),(113,1),(125,1),(128,1),(137,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{1,4,6,7}:{(19,1),(22,1),(47,1),(48,1),(49,1),(85,1),(87,1),(115,1)}
        32:{3,6,7}:{(19,1),(23,1),(50,1),(116,1)}
        33:{2,5,7}:{(19,1),(24,1),(49,1),(50,1)}
        34:{3,5,7}:{(20,1),(25,1),(51,1),(53,1),(61,1),(90,1),(100,1),(116,1)}
        35:{2,4,6}:{(20,1),(22,1),(53,1),(54,1),(56,1),(93,1)}
        36:{2,5,7}:{(21,1),(27,1),(55,1),(56,1),(63,1),(123,1),(131,1)}
        37:{1,3,6}:{(21,1),(22,1),(23,1),(53,1),(56,1)}
        38:{1,5,6}:{(22,1),(24,1),(29,1),(49,1),(54,1),(119,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(50,1),(58,1),(132,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(116,1),(117,1),(131,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(55,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(90,1),(100,1),(119,1),(132,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{2,4,6,7}:{(31,1),(35,1),(65,1),(66,1),(67,1),(101,1),(103,1)}
        48:{1,3,6,7}:{(31,1),(32,1),(37,1),(65,1),(67,1),(68,1),(124,1)}
        49:{1,5,7}:{(31,1),(33,1),(38,1),(66,1)}
        50:{3,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{3,4,7}:{(34,1),(70,1),(71,1),(81,1),(101,1),(113,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(40,1),(70,1),(72,1),(73,1),(80,1),(106,1)}
        53:{3,6}:{(34,1),(35,1)}
        54:{2,5,6}:{(35,1),(38,1),(42,1),(66,1),(74,1),(106,1)}
        55:{1,5,7}:{(36,1),(43,1),(75,1),(82,1),(130,1),(136,1)}
        56:{2,6}:{(36,1),(37,1),(75,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(39,1),(45,1),(68,1),(74,1),(76,1),(77,1),(110,1)}
        58:{4,6}:{(39,1),(46,1),(69,1),(137,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(136,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(125,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(75,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(77,1),(81,1),(83,1),(107,1),(112,1),(130,1),(137,1)}
        65:{3,6,7}:{(47,1),(53,1),(84,1),(116,1)}
        66:{2,5,7}:{(47,1),(49,1),(54,1),(84,1)}
        67:{2,6,7}:{(48,1),(56,1),(85,1),(86,1),(131,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(50,1),(57,1),(84,1),(86,1),(87,1),(116,1)}
        69:{4,7}:{(50,1),(58,1)}
        70:{2,4,7}:{(51,1),(52,1),(88,1),(89,1),(98,1)}
        71:{3,4,6}:{(51,1),(53,1),(89,1),(90,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(55,1),(59,1),(88,1),(91,1),(92,1),(97,1),(117,1),(119,1),(132,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(89,1),(92,1)}
        74:{3,5,6}:{(53,1),(54,1),(61,1),(84,1),(90,1),(93,1)}
        75:{1,6}:{(55,1),(56,1)}
        76:{2,5,6}:{(56,1),(57,1),(63,1),(86,1),(94,1),(95,1)}
        77:{1,4,6}:{(57,1),(58,1),(64,1),(87,1),(93,1),(95,1),(133,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(132,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{3,5,7}:{(65,1),(66,1),(74,1),(101,1)}
        85:{1,6,7}:{(67,1),(75,1),(102,1),(136,1)}
        86:{2,5,7}:{(67,1),(68,1),(76,1),(102,1),(103,1)}
        87:{1,4,7}:{(68,1),(69,1),(77,1),(101,1),(103,1),(136,1)}
        88:{1,4,7}:{(70,1),(72,1),(104,1),(105,1),(112,1),(137,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(105,1),(106,1)}
        90:{3,5}:{(71,1),(106,1),(107,1)}
        91:{2,5,7}:{(72,1),(78,1),(104,1),(108,1),(111,1),(126,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(108,1),(125,1)}
        93:{4,6}:{(74,1),(81,1),(101,1),(107,1)}
        94:{1,5,6}:{(75,1),(76,1),(82,1),(102,1),(109,1)}
        95:{2,4,6}:{(76,1),(77,1),(83,1),(103,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(137,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{4,7}:{(84,1),(93,1)}
       102:{1,5,7}:{(85,1),(86,1),(94,1),(115,1)}
       103:{2,4,7}:{(86,1),(87,1),(95,1),(115,1),(116,1),(131,1)}
       104:{2,4,7}:{(88,1),(91,1),(117,1),(118,1),(121,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(118,1),(119,1)}
       106:{2,5}:{(89,1),(90,1),(119,1)}
       107:{4,5}:{(90,1),(93,1)}
       108:{2,6}:{(91,1),(92,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(115,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(116,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{1,4,7}:{(102,1),(103,1),(109,1),(124,1)}
       116:{3,7}:{(103,1),(110,1)}
       117:{3,7}:{(104,1),(125,1),(128,1)}
       118:{2,4,6}:{(104,1),(105,1),(108,1),(125,1),(126,1),(137,1)}
       119:{1,5}:{(105,1),(106,1),(126,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(124,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{1,3,7}:{(115,1),(116,1),(120,1),(131,1)}
       125:{3,6}:{(117,1),(118,1),(132,1)}
       126:{2,5}:{(118,1),(119,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(131,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{2,7}:{(124,1),(127,1),(136,1)}
       132:{3,5}:{(125,1),(126,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(136,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{1,7}:{(131,1),(133,1)}
       137:{4}:{(132,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 404 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(30,1),(39,1),(41,1),(47,1),(73,1),(85,1),(95,1),(157,1),(159,1),(213,1),(223,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(120,1),(132,1),(191,1),(194,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(51,1),(105,1),(131,1),(179,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(223,1),(225,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(73,1),(86,1),(158,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(214,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(79,1),(141,1),(213,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(80,1),(94,1),(142,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(54,1),(66,1),(110,1),(124,1),(125,1),(132,1),(180,1),(182,1),(184,1),(194,1),(244,1),(249,1),(288,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(105,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(244,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(191,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(114,1),(178,1),(259,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(39,1),(73,1),(81,1),(89,1),(139,1),(145,1),(159,1),(210,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(31,1),(33,1),(74,1),(97,1),(144,1),(146,1),(166,1),(214,1),(273,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(102,1),(139,1),(145,1),(169,1),(225,1),(269,1),(270,1),(298,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(73,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(141,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(142,1),(158,1),(165,1),(166,1),(168,1),(214,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(132,1),(194,1),(199,1),(244,1),(288,1),(307,1)}
        30:{1,4,5,7}:{(16,1),(19,1),(48,1),(51,1),(62,1),(114,1),(124,1),(171,1),(180,1),(235,1)}
        31:{2,4,6}:{(16,1),(17,1),(49,1),(51,1),(53,1),(105,1)}
        32:{1,3,4,6,7}:{(17,1),(52,1),(54,1),(106,1),(119,1),(180,1),(182,1),(190,1),(244,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(53,1),(54,1),(55,1),(118,1),(184,1)}
        34:{1,3,4,7}:{(18,1),(19,1),(48,1),(56,1),(57,1),(59,1),(120,1),(171,1),(180,1),(203,1),(244,1),(289,1),(309,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(175,1),(193,1),(243,1),(245,1),(254,1),(284,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(56,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(105,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(178,1),(199,1),(201,1),(244,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(193,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(34,1),(73,1),(74,1),(88,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(31,1),(74,1),(166,1),(214,1),(230,1),(302,1),(312,1)}
        50:{1,2,4,5,7}:{(30,1),(36,1),(73,1),(77,1),(78,1),(91,1),(139,1),(150,1),(159,1),(161,1),(210,1),(213,1),(218,1),(219,1),(267,1),(313,1)}
        51:{1,4,6}:{(30,1),(31,1),(74,1),(80,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(75,1),(79,1),(81,1),(141,1),(145,1),(213,1)}
        53:{2,5,6}:{(31,1),(33,1),(39,1),(80,1),(81,1),(210,1)}
        54:{1,3,5,7}:{(32,1),(33,1),(81,1),(84,1),(155,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(82,1),(84,1),(97,1),(144,1),(218,1),(222,1),(273,1)}
        56:{2,4,7}:{(34,1),(73,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(37,1),(74,1),(87,1),(88,1),(90,1),(144,1),(156,1),(161,1),(170,1),(204,1),(214,1),(223,1),(225,1),(271,1),(277,1),(299,1)}
        58:{2,3,5}:{(35,1),(39,1),(88,1),(89,1),(96,1),(165,1),(210,1),(268,1),(297,1)}
        59:{1,3,7}:{(36,1),(86,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(87,1),(90,1),(91,1),(161,1),(299,1),(301,1),(304,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(141,1),(230,1),(274,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(142,1),(165,1),(222,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(214,1),(225,1)}
        73:{2,5,7}:{(48,1),(56,1),(105,1),(123,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(105,1),(258,1),(314,1)}
        75:{2,3,6,7}:{(49,1),(52,1),(106,1),(108,1),(190,1),(244,1),(250,1)}
        76:{2,3,5,6}:{(49,1),(53,1),(58,1),(107,1),(108,1),(109,1),(118,1),(189,1),(245,1)}
        77:{1,3,5,7}:{(50,1),(59,1),(104,1),(110,1),(111,1),(126,1),(184,1),(194,1),(244,1),(288,1)}
        78:{1,2,4,6}:{(50,1),(51,1),(105,1),(111,1),(113,1),(175,1),(179,1),(186,1),(287,1),(314,1)}
        79:{1,4,6,7}:{(51,1),(52,1),(106,1),(114,1),(180,1)}
        80:{1,5,6}:{(51,1),(53,1),(62,1),(114,1),(235,1)}
        81:{2,5,7}:{(52,1),(53,1),(54,1),(114,1)}
        82:{2,4,5,6}:{(53,1),(55,1),(64,1),(109,1),(115,1),(117,1),(118,1),(131,1),(179,1),(189,1),(241,1),(287,1)}
        83:{1,3,5,6,7}:{(54,1),(65,1),(116,1),(119,1),(190,1),(248,1)}
        84:{1,4,5,7}:{(54,1),(55,1),(117,1),(119,1),(180,1),(251,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(171,1),(203,1),(259,1)}
        86:{2,3,7}:{(56,1),(59,1),(120,1),(122,1),(244,1)}
        87:{2,4,6}:{(56,1),(57,1),(105,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(62,1),(123,1),(124,1),(194,1),(200,1),(235,1),(308,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{1,3,6}:{(59,1),(60,1),(122,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(123,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(178,1),(199,1),(251,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(179,1),(247,1),(290,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(244,1)}
       103:{1,2,5,7}:{(73,1),(85,1),(137,1),(138,1),(157,1),(231,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(86,1),(137,1),(139,1),(140,1),(158,1),(210,1)}
       105:{2,6}:{(73,1),(74,1)}
       106:{1,3,6,7}:{(74,1),(75,1),(79,1),(141,1),(143,1),(274,1)}
       107:{1,3,5,6}:{(74,1),(76,1),(80,1),(88,1),(142,1),(143,1),(144,1),(214,1),(222,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(76,1),(81,1),(143,1),(145,1),(155,1),(221,1),(270,1)}
       109:{2,4,6}:{(76,1),(89,1),(144,1),(145,1),(146,1)}
       110:{1,3,4,7}:{(77,1),(139,1),(147,1),(161,1),(219,1),(225,1),(269,1)}
       111:{1,3,6}:{(77,1),(78,1),(140,1),(214,1),(302,1)}
       112:{1,2,4,6,7}:{(78,1),(79,1),(141,1),(148,1),(150,1),(209,1),(213,1),(219,1)}
       113:{1,2,5,6}:{(78,1),(80,1),(91,1),(142,1),(149,1),(150,1),(210,1),(266,1),(301,1)}
       114:{1,5,7}:{(79,1),(80,1),(81,1)}
       115:{1,4,5,6}:{(80,1),(82,1),(93,1),(144,1),(152,1),(153,1),(163,1),(261,1),(295,1)}
       116:{2,5,6,7}:{(81,1),(83,1),(94,1),(151,1),(154,1),(266,1)}
       117:{2,4,5,7}:{(81,1),(82,1),(84,1),(145,1),(152,1),(154,1),(155,1),(213,1),(221,1)}
       118:{3,5,6}:{(82,1),(96,1),(146,1),(155,1),(166,1),(214,1),(268,1),(302,1)}
       119:{1,4,6,7}:{(83,1),(84,1),(97,1),(154,1),(273,1),(274,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(204,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(90,1),(156,1),(158,1),(214,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(144,1),(159,1),(161,1),(223,1)}
       125:{3,4,5}:{(89,1),(96,1),(146,1),(225,1),(268,1)}
       126:{1,3,5}:{(90,1),(91,1),(158,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(159,1),(161,1),(162,1),(165,1),(227,1),(228,1),(278,1),(304,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(213,1),(272,1),(303,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(214,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(120,1),(171,1),(172,1),(191,1),(235,1)}
       138:{1,2,6}:{(103,1),(105,1),(172,1),(258,1)}
       139:{2,4,7}:{(104,1),(110,1),(171,1),(175,1),(193,1)}
       140:{2,3,6}:{(104,1),(105,1),(111,1),(172,1),(175,1)}
       141:{2,6,7}:{(105,1),(106,1),(178,1)}
       142:{2,5,6}:{(105,1),(107,1),(123,1),(178,1),(179,1),(290,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(108,1),(114,1),(178,1),(180,1),(244,1),(251,1),(289,1)}
       144:{1,4,6}:{(107,1),(109,1),(124,1),(179,1),(180,1)}
       145:{2,4,7}:{(108,1),(109,1),(180,1),(182,1)}
       146:{3,4,6}:{(109,1),(118,1),(125,1),(182,1)}
       147:{1,3,4,6}:{(110,1),(111,1),(175,1),(184,1),(186,1),(243,1)}
       148:{1,3,6,7}:{(111,1),(112,1),(176,1),(185,1),(244,1),(314,1)}
       149:{1,3,5,6}:{(111,1),(113,1),(126,1),(177,1),(184,1),(185,1),(186,1),(286,1),(308,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(114,1),(178,1),(185,1),(240,1),(310,1)}
       151:{1,5,6,7}:{(114,1),(116,1),(128,1),(187,1),(280,1)}
       152:{1,4,5,7}:{(114,1),(115,1),(117,1),(180,1),(187,1),(188,1)}
       153:{1,3,5,6}:{(115,1),(118,1),(130,1),(181,1),(188,1),(189,1),(198,1),(282,1),(306,1)}
       154:{2,4,6,7}:{(116,1),(117,1),(119,1),(131,1),(187,1),(190,1),(250,1),(287,1)}
       155:{3,5,7}:{(117,1),(118,1),(182,1),(190,1),(244,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(235,1)}
       158:{2,3,5}:{(122,1),(123,1),(126,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(179,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(130,1),(181,1),(194,1),(195,1),(196,1),(252,1),(255,1),(282,1)}
       161:{1,4}:{(126,1),(193,1)}
       162:{1,3,5}:{(127,1),(134,1),(194,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(244,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(290,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(139,1),(204,1),(223,1)}
       172:{1,3,6}:{(137,1),(138,1),(140,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(141,1),(205,1),(207,1),(274,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(142,1),(157,1),(206,1),(207,1),(208,1),(222,1),(297,1),(312,1)}
       175:{2,4,6}:{(139,1),(140,1),(147,1),(204,1),(210,1)}
       176:{2,3,6,7}:{(140,1),(141,1),(148,1),(205,1),(209,1),(211,1),(302,1),(312,1)}
       177:{2,3,5,6}:{(140,1),(142,1),(149,1),(158,1),(206,1),(210,1),(211,1),(212,1),(214,1),(265,1),(266,1),(268,1),(297,1),(302,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(143,1),(213,1),(303,1)}
       179:{2,4,6}:{(142,1),(144,1),(159,1),(213,1),(214,1)}
       180:{1,4,7}:{(143,1),(144,1),(145,1),(213,1)}
       181:{1,3,4,6}:{(144,1),(146,1),(153,1),(160,1),(214,1),(215,1),(216,1),(271,1)}
       182:{3,4,7}:{(145,1),(146,1),(155,1)}
       183:{1,3,4,6,7}:{(147,1),(148,1),(209,1),(217,1),(219,1),(269,1),(273,1),(302,1)}
       184:{1,3,5}:{(147,1),(210,1),(218,1),(268,1)}
       185:{1,3,5,7}:{(148,1),(149,1),(150,1),(211,1),(219,1),(300,1),(313,1)}
       186:{1,4,6}:{(149,1),(161,1),(212,1),(218,1),(219,1)}
       187:{1,4,6,7}:{(151,1),(152,1),(154,1),(163,1),(220,1),(295,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(155,1),(215,1),(220,1),(221,1)}
       189:{2,5,6}:{(153,1),(165,1),(216,1),(221,1),(222,1),(230,1),(297,1),(312,1)}
       190:{3,6,7}:{(154,1),(155,1),(166,1),(302,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(261,1),(275,1),(278,1),(279,1),(297,1)}
       193:{2,4}:{(158,1),(161,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(214,1),(225,1)}
       195:{2,4,5}:{(160,1),(165,1),(216,1),(226,1),(227,1),(228,1),(275,1),(278,1),(297,1)}
       196:{1,3,4}:{(161,1),(162,1),(225,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(278,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(175,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(176,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(177,1),(191,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(178,1),(236,1),(238,1),(251,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(179,1),(192,1),(237,1),(238,1),(239,1),(247,1),(284,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(176,1),(183,1),(234,1),(240,1),(242,1),(287,1)}
       210:{2,5}:{(175,1),(184,1),(235,1)}
       211:{2,3,5,7}:{(176,1),(177,1),(178,1),(185,1),(236,1),(240,1),(242,1),(244,1),(285,1),(288,1),(307,1)}
       212:{2,4,6}:{(177,1),(186,1),(193,1),(237,1),(241,1),(242,1),(243,1)}
       213:{2,4,7}:{(178,1),(179,1),(180,1),(244,1)}
       214:{3,6}:{(179,1),(194,1),(244,1)}
       215:{1,3,4,7}:{(180,1),(181,1),(182,1),(188,1),(244,1),(246,1),(289,1)}
       216:{2,4,6}:{(181,1),(189,1),(195,1),(245,1),(246,1),(247,1),(290,1)}
       217:{1,3,5,7}:{(183,1),(184,1),(240,1),(248,1),(249,1),(288,1)}
       218:{1,4,5}:{(184,1),(186,1),(241,1),(308,1)}
       219:{1,4,7}:{(185,1),(186,1),(242,1)}
       220:{1,3,6,7}:{(187,1),(188,1),(190,1),(198,1),(250,1),(306,1)}
       221:{2,5,7}:{(188,1),(189,1),(246,1),(250,1),(251,1)}
       222:{1,5,6}:{(189,1),(200,1),(247,1),(251,1),(258,1),(308,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(245,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(256,1),(291,1),(308,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(209,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(210,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(211,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(212,1),(223,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(213,1),(262,1),(264,1),(272,1),(298,1),(303,1)}
       239:{1,3,6}:{(208,1),(214,1),(224,1),(264,1),(265,1)}
       240:{2,5,7}:{(209,1),(210,1),(217,1),(260,1),(266,1)}
       241:{2,4,5}:{(210,1),(212,1),(218,1),(261,1),(268,1),(297,1)}
       242:{2,4,7}:{(211,1),(212,1),(219,1),(262,1),(269,1)}
       243:{3,4,6}:{(212,1),(214,1),(225,1),(268,1),(269,1),(302,1)}
       244:{3,7}:{(213,1),(214,1)}
       245:{2,3,6}:{(214,1),(216,1),(226,1),(270,1),(271,1)}
       246:{2,4,7}:{(215,1),(216,1),(221,1),(270,1),(272,1),(303,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(271,1),(272,1)}
       248:{1,3,5,6}:{(217,1),(266,1),(273,1),(302,1)}
       249:{1,4,5,7}:{(217,1),(218,1),(219,1),(267,1),(273,1),(313,1)}
       250:{2,6,7}:{(220,1),(221,1),(230,1),(274,1),(312,1)}
       251:{1,5,7}:{(221,1),(222,1),(272,1),(274,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(297,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(228,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(271,1),(277,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(278,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(235,1),(240,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(241,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(242,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(243,1),(252,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(244,1),(285,1)}
       265:{2,3,6}:{(239,1),(253,1),(284,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(248,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(242,1),(249,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,5}:{(241,1),(243,1)}
       269:{3,4,7}:{(242,1),(243,1),(244,1),(288,1)}
       270:{2,3,7}:{(244,1),(245,1),(246,1),(289,1)}
       271:{1,3,6}:{(245,1),(247,1),(255,1),(289,1),(290,1)}
       272:{1,4,7}:{(246,1),(247,1),(251,1),(289,1)}
       273:{1,4,6}:{(248,1),(249,1),(287,1),(314,1)}
       274:{1,6,7}:{(250,1),(251,1),(258,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(308,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(256,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(267,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(268,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(269,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(275,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(303,1)}
       286:{1,3,6}:{(265,1),(276,1),(299,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(273,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(269,1),(302,1)}
       289:{1,3,7}:{(270,1),(271,1),(272,1),(303,1)}
       290:{2,6}:{(271,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(288,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(291,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(310,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(303,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 405 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(65,1),(120,1),(150,1),(210,1),(224,1),(228,1),(318,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(18,1),(22,1),(52,1),(65,1),(119,1),(137,1),(228,1),(233,1),(316,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(37,1),(105,1),(106,1),(175,1),(178,1),(275,1),(277,1),(352,1),(401,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1),(39,1),(82,1),(164,1),(254,1)}
         4:{1,2,5,7}:{(0,1),(8,1),(11,1),(12,1),(104,1),(168,1),(259,1),(272,1)}
         5:{1,3,5}:{(1,1),(9,1),(10,1),(13,1),(184,1),(279,1)}
         6:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(23,1),(59,1),(65,1),(128,1),(131,1),(142,1),(143,1),(150,1),(210,1),(230,1),(237,1),(298,1),(324,1),(382,1),(383,1)}
         7:{1,4,6}:{(2,1),(16,1),(18,1),(20,1),(316,1)}
         8:{1,3,5,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(24,1),(70,1),(225,1),(229,1)}
         9:{1,3,4}:{(5,1),(22,1),(316,1),(319,1)}
        10:{1,3,6}:{(3,1),(5,1),(23,1),(24,1),(298,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(24,1),(69,1),(125,1),(215,1),(299,1)}
        12:{1,2,6,7}:{(4,1),(21,1),(150,1),(219,1),(305,1),(318,1)}
        13:{2,3,5}:{(5,1),(22,1),(23,1),(25,1),(65,1),(119,1),(147,1)}
        14:{1,3,4,5}:{(9,1),(27,1),(28,1),(37,1),(78,1),(94,1),(172,1),(185,1),(267,1),(279,1)}
        15:{1,3,5,6}:{(6,1),(29,1),(30,1),(31,1),(43,1),(86,1),(89,1),(103,1),(180,1),(181,1),(195,1),(197,1),(288,1),(357,1)}
        16:{2,4,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(34,1),(284,1),(403,1)}
        17:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1),(44,1),(96,1),(101,1),(104,1),(176,1),(179,1),(259,1),(336,1),(395,1)}
        18:{1,4,5}:{(7,1),(32,1),(37,1),(178,1),(401,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(10,1),(33,1),(37,1),(39,1),(40,1),(105,1)}
        20:{1,4,7}:{(7,1),(8,1),(34,1)}
        21:{1,3,6,7}:{(8,1),(12,1),(35,1),(41,1),(105,1),(277,1),(352,1)}
        22:{2,4}:{(9,1),(13,1),(42,1)}
        23:{2,3,6}:{(10,1),(13,1),(39,1),(43,1),(44,1),(164,1)}
        24:{1,3,7}:{(10,1),(11,1),(44,1),(336,1)}
        25:{1,3,5}:{(13,1),(42,1),(43,1),(45,1),(103,1),(109,1)}
        26:{1,4,5,6}:{(18,1),(46,1),(48,1),(49,1),(67,1),(201,1),(207,1),(308,1),(322,1),(374,1)}
        27:{1,3,4,6}:{(14,1),(48,1),(50,1),(51,1),(113,1),(117,1),(207,1),(298,1)}
        28:{2,4,5}:{(14,1),(22,1),(47,1),(50,1),(52,1),(65,1),(119,1),(216,1),(306,1)}
        29:{1,2,5,6}:{(15,1),(53,1),(54,1),(72,1),(131,1),(148,1),(201,1),(210,1),(230,1),(244,1)}
        30:{1,4,6}:{(15,1),(16,1),(55,1),(57,1),(242,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(54,1),(57,1),(58,1),(73,1),(129,1),(136,1),(149,1)}
        32:{2,4,5}:{(16,1),(18,1),(55,1),(59,1),(65,1),(131,1),(383,1),(415,1)}
        33:{3,4,6}:{(16,1),(59,1),(62,1),(142,1),(298,1),(319,1)}
        34:{2,4,7}:{(16,1),(17,1),(20,1),(57,1),(62,1),(413,1)}
        35:{2,3,6,7}:{(17,1),(21,1),(58,1),(63,1),(142,1),(150,1),(230,1),(305,1),(324,1),(369,1)}
        36:{2,3,4}:{(22,1),(47,1),(64,1),(147,1),(216,1),(319,1)}
        37:{1,3,5}:{(18,1),(19,1),(59,1),(65,1)}
        38:{1,4,5,7}:{(18,1),(20,1),(60,1),(66,1),(67,1),(70,1),(229,1)}
        39:{2,4,6}:{(19,1),(22,1),(23,1),(65,1),(68,1),(69,1),(150,1)}
        40:{1,3,4,7}:{(19,1),(20,1),(24,1),(62,1),(66,1),(69,1)}
        41:{1,4,6,7}:{(20,1),(21,1),(63,1),(67,1),(70,1),(380,1)}
        42:{1,4}:{(22,1),(25,1)}
        43:{1,3,6}:{(23,1),(25,1),(68,1),(72,1),(73,1)}
        44:{2,3,7}:{(23,1),(24,1),(69,1),(73,1),(215,1)}
        45:{1,2,5}:{(25,1),(71,1),(72,1),(119,1)}
        46:{2,4,5,6}:{(26,1),(32,1),(74,1),(75,1),(76,1),(79,1),(97,1),(154,1),(158,1),(254,1),(282,1),(283,1),(339,1),(355,1),(396,1),(403,1)}
        47:{2,3,5}:{(28,1),(36,1),(77,1),(78,1),(279,1)}
        48:{1,3,5,6}:{(26,1),(27,1),(37,1),(75,1),(79,1),(80,1),(105,1),(267,1),(345,1)}
        49:{1,4,5,7}:{(26,1),(76,1),(80,1),(81,1),(249,1),(255,1),(338,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(79,1),(82,1),(83,1),(164,1)}
        51:{1,3,4,7}:{(27,1),(80,1),(83,1),(159,1),(165,1),(255,1),(336,1)}
        52:{1,4,5}:{(28,1),(42,1),(78,1),(82,1),(103,1),(253,1),(333,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(85,1),(86,1),(87,1),(91,1),(246,1),(254,1),(326,1)}
        54:{1,2,5,7}:{(29,1),(31,1),(87,1),(88,1),(110,1),(179,1),(249,1),(259,1)}
        55:{1,4,5}:{(30,1),(32,1),(89,1),(103,1),(357,1)}
        56:{1,3,4,6}:{(30,1),(33,1),(86,1),(89,1),(91,1),(92,1),(173,1),(180,1)}
        57:{1,4,7}:{(30,1),(31,1),(34,1)}
        58:{1,3,6,7}:{(31,1),(35,1),(88,1),(93,1),(180,1),(197,1),(288,1)}
        59:{3,5}:{(32,1),(33,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(38,1),(90,1),(96,1),(97,1),(101,1),(104,1),(179,1),(194,1)}
        61:{2,3,4,6}:{(33,1),(36,1),(39,1),(77,1),(91,1),(95,1),(98,1),(99,1),(158,1),(190,1),(192,1),(245,1),(262,1),(269,1),(284,1),(335,1),(356,1),(386,1)}
        62:{3,4,7}:{(33,1),(34,1),(96,1),(336,1)}
        63:{2,4,6,7}:{(34,1),(35,1),(41,1),(93,1),(97,1),(100,1),(101,1),(356,1)}
        64:{1,3,4}:{(36,1),(42,1),(78,1),(102,1),(109,1),(184,1),(253,1)}
        65:{2,5}:{(37,1),(39,1),(103,1)}
        66:{1,3,5,7}:{(37,1),(38,1),(40,1),(96,1),(104,1),(105,1)}
        67:{1,4,6}:{(38,1),(97,1),(105,1),(106,1),(277,1)}
        68:{1,4,6}:{(39,1),(42,1),(43,1),(103,1),(108,1),(197,1)}
        69:{2,4,7}:{(39,1),(40,1),(44,1),(104,1),(108,1)}
        70:{1,5,7}:{(41,1),(101,1),(106,1),(401,1)}
        71:{1,2,4}:{(42,1),(45,1),(102,1),(109,1)}
        72:{1,2,6}:{(43,1),(45,1),(110,1),(164,1)}
        73:{1,3,7}:{(43,1),(44,1),(108,1),(110,1)}
        74:{1,4,5,6}:{(46,1),(55,1),(111,1),(112,1),(120,1),(133,1),(207,1),(322,1),(363,1),(409,1)}
        75:{3,5,6}:{(46,1),(59,1),(113,1),(115,1),(142,1),(298,1),(367,1),(411,1)}
        76:{2,4,5,7}:{(46,1),(49,1),(112,1),(115,1),(116,1),(121,1),(202,1),(208,1),(299,1),(301,1),(302,1),(370,1),(413,1)}
        77:{2,3,6}:{(47,1),(50,1),(117,1),(118,1),(298,1)}
        78:{1,3,5}:{(47,1),(52,1),(64,1),(117,1),(119,1)}
        79:{2,5,6}:{(48,1),(50,1),(65,1),(120,1),(121,1),(150,1),(306,1),(373,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(51,1),(115,1),(121,1),(122,1)}
        81:{1,4,6,7}:{(49,1),(67,1),(116,1),(122,1),(123,1),(295,1),(374,1)}
        82:{1,4,6}:{(50,1),(52,1),(117,1),(120,1),(125,1)}
        83:{2,4,7}:{(50,1),(51,1),(118,1),(121,1),(125,1),(215,1)}
        84:{1,2,4,5}:{(52,1),(71,1),(119,1),(124,1),(126,1),(148,1),(216,1),(233,1),(242,1),(306,1),(308,1)}
        85:{1,2,4,5}:{(53,1),(55,1),(127,1),(131,1),(148,1),(222,1),(227,1),(233,1),(242,1),(314,1),(376,1)}
        86:{1,3,6}:{(53,1),(127,1),(128,1),(129,1),(298,1)}
        87:{1,2,4,7}:{(53,1),(54,1),(57,1),(129,1),(135,1),(292,1),(299,1),(360,1)}
        88:{1,2,6,7}:{(54,1),(58,1),(230,1),(244,1),(295,1),(305,1)}
        89:{1,3,5}:{(55,1),(56,1),(59,1),(131,1)}
        90:{1,4,5,7}:{(55,1),(57,1),(60,1),(132,1),(133,1),(136,1),(149,1)}
        91:{2,4,6}:{(56,1),(128,1),(131,1),(134,1),(135,1),(222,1),(230,1)}
        92:{1,3,4,7}:{(56,1),(57,1),(62,1),(129,1),(132,1),(135,1)}
        93:{1,4,6,7}:{(57,1),(58,1),(63,1),(133,1),(136,1),(325,1)}
        94:{3,4,5}:{(59,1),(113,1),(138,1),(319,1),(367,1),(415,1)}
        95:{2,3,5}:{(59,1),(61,1),(65,1),(131,1),(138,1),(140,1),(306,1),(367,1),(383,1),(406,1)}
        96:{3,5,7}:{(59,1),(60,1),(62,1),(142,1)}
        97:{2,4,6}:{(60,1),(67,1),(133,1),(142,1),(143,1),(150,1),(230,1),(240,1)}
        98:{1,3,4,6}:{(61,1),(64,1),(68,1),(117,1),(134,1),(140,1),(144,1),(145,1),(151,1),(207,1),(231,1),(239,1),(242,1),(289,1),(296,1),(298,1),(312,1),(316,1),(319,1),(325,1),(380,1),(381,1),(404,1)}
        99:{2,3,4,7}:{(61,1),(62,1),(69,1),(118,1),(135,1),(141,1),(145,1),(208,1),(241,1),(290,1),(307,1),(323,1),(368,1),(407,1)}
       100:{3,4,6,7}:{(62,1),(63,1),(142,1),(146,1),(240,1),(369,1),(381,1),(413,1)}
       101:{2,5,7}:{(63,1),(70,1),(136,1),(143,1),(146,1),(383,1)}
       102:{2,4}:{(64,1),(119,1),(147,1)}
       103:{1,5}:{(65,1),(68,1)}
       104:{2,5,7}:{(65,1),(66,1),(69,1),(149,1),(150,1)}
       105:{1,3,6}:{(66,1),(67,1),(142,1),(150,1)}
       106:{1,5,6}:{(67,1),(70,1),(143,1)}
       107:{1,2,4,6}:{(68,1),(71,1),(72,1),(144,1),(148,1),(151,1),(152,1),(242,1),(244,1),(325,1),(358,1),(376,1),(404,1)}
       108:{1,4,7}:{(68,1),(69,1),(73,1),(149,1)}
       109:{1,3}:{(71,1),(147,1)}
       110:{1,2,7}:{(72,1),(73,1),(215,1)}
       111:{1,3,5,6}:{(74,1),(75,1),(89,1),(153,1),(154,1),(155,1),(180,1),(388,1),(419,1)}
       112:{1,4,5,7}:{(74,1),(76,1),(155,1),(156,1),(168,1),(255,1),(338,1)}
       113:{3,4,6}:{(75,1),(94,1),(158,1),(159,1),(403,1)}
       114:{2,3,5,6}:{(75,1),(77,1),(79,1),(95,1),(154,1),(158,1),(160,1),(161,1),(190,1),(245,1),(282,1)}
       115:{3,5,7}:{(75,1),(76,1),(159,1),(162,1),(336,1)}
       116:{2,4,6,7}:{(76,1),(81,1),(97,1),(156,1),(162,1),(163,1),(169,1),(250,1),(261,1),(396,1)}
       117:{1,3,6}:{(77,1),(78,1),(82,1),(164,1),(165,1)}
       118:{2,3,7}:{(77,1),(83,1),(165,1),(336,1)}
       119:{2,5}:{(78,1),(102,1),(164,1)}
       120:{1,5,6}:{(79,1),(82,1),(103,1),(168,1),(197,1),(333,1),(392,1)}
       121:{2,5,7}:{(79,1),(80,1),(83,1),(168,1),(169,1)}
       122:{1,3,6,7}:{(80,1),(81,1),(105,1),(162,1),(169,1),(345,1)}
       123:{1,5,6,7}:{(81,1),(106,1),(163,1),(338,1),(398,1)}
       124:{1,2,4,6}:{(82,1),(84,1),(164,1),(167,1),(170,1),(171,1),(254,1),(262,1),(264,1)}
       125:{1,4,7}:{(82,1),(83,1),(165,1),(168,1)}
       126:{1,3,5}:{(84,1),(109,1),(166,1),(170,1),(172,1),(279,1)}
       127:{1,3,5}:{(85,1),(86,1),(173,1),(174,1),(279,1),(399,1)}
       128:{2,3,6}:{(86,1),(91,1),(174,1),(175,1),(176,1),(326,1)}
       129:{1,3,7}:{(86,1),(87,1),(176,1),(336,1)}
       130:{1,3,4,5}:{(89,1),(94,1),(153,1),(173,1),(177,1),(185,1),(273,1),(279,1),(350,1),(388,1)}
       131:{2,5}:{(89,1),(91,1),(178,1)}
       132:{1,3,5,7}:{(89,1),(90,1),(92,1),(96,1),(179,1),(180,1)}
       133:{1,4,6}:{(90,1),(97,1),(180,1),(181,1),(197,1)}
       134:{1,4,6}:{(91,1),(175,1),(178,1),(183,1),(270,1),(277,1)}
       135:{2,4,7}:{(91,1),(92,1),(176,1),(179,1),(183,1)}
       136:{1,5,7}:{(93,1),(101,1),(181,1),(357,1)}
       137:{1,2,4}:{(102,1),(157,1),(184,1),(253,1)}
       138:{2,4,5}:{(94,1),(95,1),(158,1),(185,1),(284,1)}
       139:{3,4,5,7}:{(94,1),(96,1),(159,1),(186,1),(187,1),(194,1),(257,1),(353,1),(393,1),(402,1),(422,1)}
       140:{1,3,5}:{(95,1),(98,1),(103,1),(178,1),(185,1),(188,1),(279,1),(333,1),(357,1),(401,1),(402,1),(416,1)}
       141:{2,3,5,7}:{(95,1),(96,1),(99,1),(104,1),(179,1),(186,1),(189,1),(190,1),(342,1),(393,1),(418,1)}
       142:{3,6}:{(96,1),(97,1)}
       143:{2,5,6}:{(97,1),(101,1),(106,1),(181,1),(191,1)}
       144:{2,4,6}:{(98,1),(102,1),(164,1),(188,1),(192,1),(193,1),(284,1),(286,1),(326,1),(346,1)}
       145:{1,3,4,7}:{(98,1),(99,1),(108,1),(165,1),(183,1),(189,1),(193,1),(198,1),(255,1),(278,1),(287,1),(327,1),(334,1),(336,1),(351,1),(353,1),(417,1)}
       146:{3,5,7}:{(100,1),(101,1),(191,1),(194,1),(402,1)}
       147:{2,3}:{(102,1),(109,1),(184,1)}
       148:{1,2,5}:{(103,1),(107,1),(188,1),(195,1),(357,1),(416,1)}
       149:{1,5,7}:{(103,1),(104,1),(108,1),(197,1)}
       150:{2,6}:{(104,1),(105,1),(197,1)}
       151:{1,3,6}:{(107,1),(109,1),(192,1),(195,1),(198,1),(399,1)}
       152:{1,2,4,7}:{(107,1),(108,1),(110,1),(193,1),(196,1),(198,1),(287,1),(385,1),(417,1)}
       153:{1,3,4,6}:{(111,1),(113,1),(130,1),(199,1),(200,1),(207,1),(289,1),(298,1)}
       154:{2,5,6}:{(111,1),(131,1),(199,1),(201,1),(202,1),(230,1),(406,1),(424,1)}
       155:{1,3,5,7}:{(111,1),(112,1),(115,1),(200,1),(202,1),(203,1)}
       156:{1,4,6,7}:{(112,1),(116,1),(133,1),(203,1),(204,1),(219,1),(409,1)}
       157:{1,2,5}:{(119,1),(137,1),(205,1),(206,1)}
       158:{2,4,6}:{(113,1),(114,1),(138,1),(207,1),(208,1)}
       159:{3,4,7}:{(113,1),(115,1),(208,1),(413,1)}
       160:{1,3,5,6}:{(114,1),(117,1),(120,1),(140,1),(201,1),(207,1),(210,1),(211,1),(239,1),(289,1),(298,1),(322,1),(382,1)}
       161:{2,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(202,1),(208,1),(211,1),(212,1),(290,1),(301,1)}
       162:{3,6,7}:{(115,1),(116,1),(142,1),(411,1)}
       163:{2,5,6,7}:{(116,1),(123,1),(143,1),(204,1),(213,1),(301,1),(370,1),(414,1)}
       164:{2,6}:{(117,1),(119,1),(215,1)}
       165:{1,3,7}:{(117,1),(118,1),(125,1),(215,1)}
       166:{2,3,5}:{(119,1),(126,1),(147,1),(206,1),(214,1),(216,1),(306,1)}
       167:{1,2,5,6}:{(120,1),(124,1),(148,1),(210,1),(217,1),(218,1),(244,1),(306,1),(358,1),(373,1)}
       168:{1,5,7}:{(120,1),(121,1),(125,1),(219,1)}
       169:{2,6,7}:{(121,1),(122,1),(150,1),(219,1),(373,1)}
       170:{1,3,6}:{(124,1),(126,1),(214,1),(221,1),(298,1)}
       171:{1,2,4,7}:{(124,1),(125,1),(215,1),(218,1),(221,1),(299,1),(307,1),(309,1)}
       172:{1,3,4}:{(126,1),(216,1),(242,1),(319,1)}
       173:{1,3,4}:{(127,1),(222,1),(242,1),(319,1)}
       174:{2,3,5}:{(127,1),(128,1),(131,1),(222,1),(223,1),(314,1),(377,1)}
       175:{1,3,6}:{(128,1),(134,1),(223,1),(224,1),(225,1)}
       176:{2,3,7}:{(128,1),(129,1),(135,1),(225,1),(360,1)}
       177:{2,4,5}:{(130,1),(131,1),(199,1),(222,1),(226,1),(227,1),(314,1),(379,1),(406,1)}
       178:{1,5}:{(131,1),(134,1)}
       179:{2,5,7}:{(131,1),(132,1),(135,1),(229,1),(230,1)}
       180:{1,3,6}:{(132,1),(133,1),(142,1),(230,1)}
       181:{1,5,6}:{(133,1),(136,1),(143,1)}
       182:{1,2,4,6}:{(134,1),(137,1),(144,1),(205,1),(224,1),(228,1),(231,1),(232,1),(296,1),(313,1),(316,1),(318,1),(380,1)}
       183:{1,4,7}:{(134,1),(135,1),(225,1),(229,1)}
       184:{1,3}:{(137,1),(147,1)}
       185:{1,4,5}:{(138,1),(140,1),(207,1),(233,1),(242,1),(316,1),(415,1)}
       186:{2,4,5,7}:{(138,1),(139,1),(141,1),(208,1),(234,1),(235,1),(301,1),(323,1),(383,1)}
       187:{3,4,6}:{(139,1),(142,1),(235,1),(236,1),(240,1),(411,1),(425,1)}
       188:{2,5}:{(140,1),(144,1)}
       189:{1,3,5,7}:{(140,1),(141,1),(145,1),(149,1),(229,1),(234,1),(238,1),(239,1),(320,1),(366,1),(423,1)}
       190:{2,3,6}:{(141,1),(142,1),(150,1),(230,1),(235,1),(239,1),(373,1),(411,1),(424,1)}
       191:{3,5,6}:{(142,1),(143,1),(146,1),(240,1)}
       192:{2,3,6}:{(144,1),(147,1),(151,1),(231,1),(237,1),(241,1),(298,1),(377,1)}
       193:{2,4,7}:{(144,1),(145,1),(215,1),(238,1),(241,1),(360,1)}
       194:{4,5,7}:{(146,1),(240,1),(413,1),(415,1)}
       195:{1,3,5}:{(148,1),(151,1),(237,1),(242,1)}
       196:{1,2,5,7}:{(148,1),(149,1),(152,1),(238,1),(243,1),(244,1),(423,1)}
       197:{1,6}:{(149,1),(150,1)}
       198:{1,3,7}:{(151,1),(152,1),(241,1)}
       199:{2,4,6}:{(153,1),(154,1),(177,1),(245,1),(246,1),(247,1),(326,1)}
       200:{1,3,4,7}:{(153,1),(155,1),(159,1),(247,1),(255,1),(327,1),(336,1)}
       201:{1,5,6}:{(154,1),(178,1),(246,1),(249,1),(277,1),(416,1),(426,1)}
       202:{2,5,7}:{(154,1),(155,1),(247,1),(249,1),(250,1)}
       203:{1,3,6,7}:{(155,1),(156,1),(162,1),(180,1),(250,1),(419,1)}
       204:{1,5,6,7}:{(156,1),(163,1),(181,1),(338,1),(420,1)}
       205:{1,2,6}:{(157,1),(164,1),(251,1),(252,1)}
       206:{1,3,5}:{(157,1),(166,1),(184,1),(251,1),(253,1),(333,1)}
       207:{1,4,6}:{(158,1),(160,1),(185,1),(254,1),(255,1),(403,1)}
       208:{2,4,7}:{(158,1),(159,1),(161,1),(255,1)}
       209:{3,4,6,7}:{(159,1),(162,1),(187,1),(256,1),(257,1),(261,1)}
       210:{2,5,6}:{(160,1),(164,1),(188,1),(254,1),(259,1),(286,1),(326,1)}
       211:{1,3,5,7}:{(160,1),(161,1),(165,1),(168,1),(249,1),(255,1),(259,1),(260,1),(327,1),(336,1),(338,1),(395,1)}
       212:{2,3,6,7}:{(161,1),(162,1),(169,1),(190,1),(250,1),(256,1),(260,1)}
       213:{3,5,6,7}:{(162,1),(163,1),(191,1),(257,1),(261,1),(395,1),(421,1)}
       214:{2,3,6}:{(164,1),(166,1),(170,1),(251,1),(262,1),(263,1)}
       215:{2,7}:{(164,1),(165,1)}
       216:{2,4}:{(166,1),(172,1),(253,1)}
       217:{1,3,5,6}:{(167,1),(170,1),(195,1),(258,1),(264,1),(265,1),(267,1),(288,1),(345,1),(357,1),(384,1),(398,1),(416,1),(426,1)}
       218:{1,2,5,7}:{(167,1),(168,1),(171,1),(259,1),(265,1),(266,1),(342,1),(385,1)}
       219:{1,6,7}:{(168,1),(169,1),(197,1),(392,1)}
       220:{1,3,4,6}:{(170,1),(172,1),(262,1),(264,1),(267,1),(268,1),(335,1),(345,1)}
       221:{1,3,7}:{(170,1),(171,1),(263,1),(336,1)}
       222:{2,4}:{(173,1),(174,1),(270,1)}
       223:{1,3,5}:{(174,1),(175,1),(178,1),(270,1),(271,1),(347,1)}
       224:{1,2,6}:{(175,1),(271,1),(272,1),(326,1)}
       225:{1,3,7}:{(175,1),(176,1),(183,1),(272,1)}
       226:{2,3,5}:{(177,1),(245,1),(269,1),(273,1),(279,1)}
       227:{1,4,5}:{(177,1),(178,1),(246,1),(270,1),(273,1),(400,1),(416,1)}
       228:{1,2,5}:{(178,1),(182,1),(188,1),(275,1),(333,1),(401,1)}
       229:{1,5,7}:{(178,1),(179,1),(183,1),(277,1)}
       230:{2,6}:{(179,1),(180,1),(277,1)}
       231:{1,3,6}:{(182,1),(184,1),(192,1),(275,1),(278,1),(347,1)}
       232:{1,2,4,7}:{(182,1),(183,1),(193,1),(252,1),(272,1),(276,1),(278,1),(334,1),(351,1)}
       233:{2,4,5}:{(185,1),(188,1),(254,1),(279,1),(284,1)}
       234:{1,4,5,7}:{(185,1),(186,1),(189,1),(255,1),(280,1),(281,1),(287,1),(338,1),(351,1),(357,1),(401,1)}
       235:{2,4,6}:{(186,1),(187,1),(190,1),(281,1),(282,1)}
       236:{3,5,6}:{(187,1),(257,1),(282,1),(283,1),(402,1)}
       237:{2,3,5}:{(188,1),(192,1),(195,1),(275,1),(279,1),(284,1)}
       238:{2,5,7}:{(188,1),(189,1),(193,1),(286,1)}
       239:{1,3,6}:{(189,1),(190,1),(197,1),(277,1),(281,1),(286,1),(354,1),(392,1),(426,1)}
       240:{4,6}:{(191,1),(194,1)}
       241:{2,3,7}:{(192,1),(193,1),(198,1),(278,1),(336,1)}
       242:{1,4}:{(195,1),(284,1)}
       243:{1,3,5,7}:{(195,1),(196,1),(198,1),(285,1),(287,1),(288,1),(357,1)}
       244:{1,2,6}:{(196,1),(197,1),(286,1),(288,1),(426,1)}
       245:{2,3,6}:{(199,1),(226,1),(289,1),(290,1),(298,1)}
       246:{1,4,6}:{(199,1),(201,1),(227,1),(289,1),(292,1)}
       247:{2,4,7}:{(199,1),(200,1),(202,1),(290,1),(292,1),(360,1)}
       248:{1,2,5,6}:{(201,1),(205,1),(210,1),(228,1),(291,1),(293,1),(294,1),(318,1),(406,1),(424,1)}
       249:{1,5,7}:{(201,1),(202,1),(292,1),(295,1)}
       250:{2,6,7}:{(202,1),(203,1),(230,1),(295,1),(424,1)}
       251:{1,3,6}:{(205,1),(206,1),(214,1),(296,1),(297,1)}
       252:{1,2,7}:{(205,1),(215,1),(297,1)}
       253:{1,4}:{(206,1),(216,1)}
       254:{2,4,6}:{(207,1),(210,1),(233,1),(298,1),(299,1)}
       255:{1,4,7}:{(207,1),(208,1),(211,1),(299,1),(413,1)}
       256:{2,4,6,7}:{(208,1),(209,1),(212,1),(235,1),(300,1),(301,1)}
       257:{3,5,7}:{(209,1),(236,1),(301,1),(302,1)}
       258:{2,3,5,6}:{(210,1),(214,1),(217,1),(237,1),(293,1),(298,1),(303,1),(304,1),(306,1),(324,1),(359,1),(367,1),(373,1),(382,1),(383,1),(406,1),(411,1),(414,1),(424,1)}
       259:{2,5,7}:{(210,1),(211,1),(215,1),(299,1),(305,1),(360,1)}
       260:{1,3,6,7}:{(211,1),(212,1),(219,1),(239,1),(295,1),(300,1),(305,1),(369,1)}
       261:{4,6,7}:{(213,1),(240,1),(302,1),(413,1),(425,1)}
       262:{2,4,6}:{(214,1),(216,1),(220,1),(296,1),(306,1),(307,1),(373,1)}
       263:{2,3,7}:{(214,1),(215,1),(221,1),(297,1),(307,1)}
       264:{1,4,6}:{(217,1),(242,1),(303,1),(308,1),(309,1)}
       265:{1,3,5,7}:{(217,1),(218,1),(221,1),(304,1),(309,1),(310,1),(375,1),(405,1),(423,1)}
       266:{1,2,6,7}:{(218,1),(219,1),(244,1),(305,1),(310,1),(373,1)}
       267:{1,3,5}:{(220,1),(306,1),(308,1),(367,1)}
       268:{1,3,4,7}:{(220,1),(221,1),(307,1),(309,1),(311,1),(368,1)}
       269:{2,3,4}:{(222,1),(226,1),(312,1),(319,1),(377,1),(379,1)}
       270:{1,4}:{(222,1),(223,1)}
       271:{1,2,5}:{(223,1),(224,1),(313,1),(314,1)}
       272:{1,2,7}:{(224,1),(225,1),(360,1)}
       273:{1,3,5}:{(226,1),(227,1),(289,1),(312,1),(314,1)}
       274:{1,2,4,5}:{(227,1),(228,1),(233,1),(291,1),(313,1),(314,1),(315,1),(316,1),(363,1),(379,1),(406,1)}
       275:{1,3,5}:{(228,1),(231,1),(237,1),(316,1)}
       276:{1,2,5,7}:{(228,1),(229,1),(232,1),(238,1),(317,1),(318,1),(366,1)}
       277:{1,6}:{(229,1),(230,1)}
       278:{1,3,7}:{(231,1),(232,1),(241,1)}
       279:{3,5}:{(233,1),(298,1),(319,1)}
       280:{2,4,5,7}:{(233,1),(234,1),(238,1),(299,1),(320,1),(321,1),(323,1),(370,1),(383,1),(413,1),(415,1)}
       281:{1,4,6}:{(234,1),(235,1),(239,1),(321,1),(322,1)}
       282:{2,5,6}:{(235,1),(236,1),(301,1),(322,1),(383,1)}
       283:{4,5,6}:{(236,1),(240,1),(302,1),(415,1),(425,1)}
       284:{2,4}:{(237,1),(242,1),(316,1),(319,1)}
       285:{2,3,5,7}:{(237,1),(238,1),(241,1),(243,1),(317,1),(320,1),(323,1),(324,1),(383,1)}
       286:{2,6}:{(238,1),(239,1)}
       287:{1,4,7}:{(242,1),(243,1),(323,1),(325,1)}
       288:{1,3,6}:{(243,1),(244,1),(324,1),(325,1)}
       289:{1,3,6}:{(245,1),(246,1),(273,1),(326,1),(327,1)}
       290:{2,3,7}:{(245,1),(247,1),(327,1),(336,1)}
       291:{1,2,4,6}:{(246,1),(248,1),(254,1),(274,1),(326,1),(328,1),(329,1),(330,1),(386,1)}
       292:{1,4,7}:{(246,1),(247,1),(249,1),(327,1)}
       293:{1,3,5,6}:{(248,1),(251,1),(258,1),(275,1),(328,1),(330,1),(331,1),(333,1),(352,1),(388,1),(392,1),(401,1),(419,1),(420,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(259,1),(329,1),(331,1),(332,1),(418,1)}
       295:{1,6,7}:{(249,1),(250,1),(277,1),(426,1)}
       296:{1,4,6}:{(251,1),(253,1),(262,1),(333,1),(334,1),(392,1)}
       297:{1,3,7}:{(251,1),(252,1),(263,1),(334,1)}
       298:{3,6}:{(254,1),(279,1),(336,1)}
       299:{2,4,7}:{(254,1),(255,1),(259,1),(336,1)}
       300:{1,4,6,7}:{(255,1),(256,1),(260,1),(281,1),(337,1),(338,1)}
       301:{2,5,7}:{(256,1),(257,1),(282,1),(338,1)}
       302:{4,5,7}:{(257,1),(261,1),(283,1)}
       303:{2,4,6}:{(258,1),(264,1),(284,1),(330,1),(335,1),(339,1),(340,1),(403,1)}
       304:{2,3,5,7}:{(258,1),(259,1),(263,1),(265,1),(331,1),(336,1),(340,1),(341,1),(342,1),(387,1),(393,1),(395,1),(397,1),(418,1)}
       305:{2,6,7}:{(259,1),(260,1),(286,1)}
       306:{2,5}:{(262,1),(267,1),(333,1)}
       307:{2,4,7}:{(262,1),(263,1),(268,1),(334,1),(342,1)}
       308:{1,4,5}:{(264,1),(267,1),(339,1),(357,1),(416,1)}
       309:{1,4,7}:{(264,1),(265,1),(340,1)}
       310:{1,3,6,7}:{(265,1),(266,1),(288,1),(341,1),(344,1),(345,1),(426,1)}
       311:{1,3,5,7}:{(267,1),(268,1),(342,1),(343,1),(345,1),(393,1)}
       312:{1,3,4}:{(269,1),(270,1),(273,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(270,1),(271,1),(346,1),(347,1)}
       314:{2,5}:{(273,1),(326,1),(346,1)}
       315:{1,3,5}:{(274,1),(279,1),(328,1),(347,1),(349,1),(350,1)}
       316:{1,4}:{(275,1),(284,1)}
       317:{1,3,5,7}:{(275,1),(276,1),(278,1),(285,1),(351,1),(352,1),(401,1)}
       318:{1,2,6}:{(276,1),(277,1),(286,1),(352,1),(392,1)}
       319:{3,4}:{(279,1),(284,1)}
       320:{3,5,7}:{(279,1),(280,1),(336,1),(353,1),(354,1),(402,1)}
       321:{2,4,6}:{(280,1),(281,1),(286,1),(354,1),(355,1),(403,1)}
       322:{1,5,6}:{(281,1),(282,1),(338,1),(355,1),(357,1),(401,1)}
       323:{2,4,7}:{(284,1),(285,1),(287,1),(351,1),(353,1),(356,1)}
       324:{2,3,6}:{(285,1),(286,1),(288,1),(352,1),(354,1),(356,1)}
       325:{1,4,6}:{(287,1),(288,1),(356,1),(357,1)}
       326:{2,6}:{(289,1),(314,1),(360,1)}
       327:{1,3,7}:{(289,1),(290,1),(292,1),(360,1)}
       328:{1,3,6}:{(291,1),(298,1),(315,1),(359,1),(362,1)}
       329:{1,2,4,7}:{(291,1),(292,1),(294,1),(299,1),(360,1),(362,1),(364,1),(407,1)}
       330:{1,4,6}:{(293,1),(303,1),(316,1),(363,1),(364,1)}
       331:{1,3,5,7}:{(293,1),(294,1),(297,1),(304,1),(362,1),(364,1),(365,1),(366,1),(410,1)}
       332:{1,2,6,7}:{(294,1),(295,1),(305,1),(318,1),(365,1),(424,1)}
       333:{1,5}:{(296,1),(306,1)}
       334:{1,4,7}:{(296,1),(297,1),(307,1),(366,1)}
       335:{3,4,6}:{(298,1),(303,1),(319,1),(367,1),(368,1),(411,1)}
       336:{3,7}:{(298,1),(299,1)}
       337:{2,4,6,7}:{(299,1),(300,1),(305,1),(321,1),(369,1),(370,1),(413,1)}
       338:{1,5,7}:{(300,1),(301,1),(322,1),(370,1)}
       339:{2,4,5}:{(303,1),(306,1),(308,1),(363,1),(367,1),(383,1),(406,1),(415,1)}
       340:{2,4,7}:{(303,1),(304,1),(309,1),(364,1),(368,1),(413,1)}
       341:{2,3,6,7}:{(304,1),(305,1),(310,1),(324,1),(365,1),(369,1),(372,1),(373,1),(411,1),(424,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,5,7}:{(308,1),(309,1),(311,1),(371,1),(374,1),(375,1),(423,1)}
       344:{1,4,6,7}:{(309,1),(310,1),(325,1),(372,1),(374,1),(375,1)}
       345:{1,3,6}:{(311,1),(373,1),(374,1),(411,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(359,1),(377,1),(378,1),(379,1),(406,1)}
       350:{1,3,4}:{(315,1),(316,1),(319,1),(379,1)}
       351:{1,4,7}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,3,6}:{(317,1),(318,1),(324,1),(380,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(381,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(370,1),(382,1),(383,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(381,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(326,1),(348,1),(384,1),(385,1)}
       359:{2,3,6}:{(326,1),(328,1),(349,1),(384,1),(386,1),(387,1)}
       360:{2,7}:{(326,1),(327,1)}
       361:{1,3,4,6}:{(328,1),(330,1),(335,1),(350,1),(386,1),(388,1),(389,1),(419,1)}
       362:{1,3,7}:{(328,1),(329,1),(336,1),(387,1)}
       363:{1,4,5}:{(330,1),(333,1),(339,1),(388,1),(401,1)}
       364:{1,4,7}:{(330,1),(331,1),(340,1)}
       365:{1,3,6,7}:{(331,1),(332,1),(341,1),(352,1),(391,1),(392,1),(419,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{3,5}:{(335,1),(339,1)}
       368:{3,4,7}:{(335,1),(336,1),(340,1),(393,1)}
       369:{3,6,7}:{(336,1),(337,1),(354,1),(395,1)}
       370:{2,5,7}:{(337,1),(338,1),(355,1),(395,1)}
       371:{2,4,5,7}:{(339,1),(340,1),(342,1),(343,1),(390,1),(393,1),(396,1),(397,1),(418,1),(422,1)}
       372:{2,4,6,7}:{(340,1),(341,1),(344,1),(356,1),(391,1),(394,1),(396,1),(397,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,4,6}:{(343,1),(345,1),(396,1),(398,1),(426,1)}
       375:{1,5,7}:{(344,1),(357,1),(397,1),(398,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(384,1),(399,1),(400,1),(416,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,4,6}:{(353,1),(354,1),(356,1),(402,1),(403,1)}
       382:{3,5,6}:{(354,1),(355,1),(395,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(402,1)}
       384:{1,3,6}:{(358,1),(359,1),(378,1),(404,1),(405,1)}
       385:{1,2,7}:{(358,1),(360,1),(405,1)}
       386:{2,4,6}:{(359,1),(361,1),(379,1),(404,1),(406,1),(407,1),(424,1)}
       387:{2,3,7}:{(359,1),(360,1),(362,1),(405,1),(407,1)}
       388:{1,3,5}:{(361,1),(363,1),(367,1),(406,1)}
       389:{1,3,4,7}:{(361,1),(362,1),(364,1),(368,1),(407,1),(408,1)}
       390:{1,4,5,7}:{(363,1),(364,1),(366,1),(371,1),(408,1),(409,1),(410,1)}
       391:{1,4,6,7}:{(364,1),(365,1),(372,1),(380,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(371,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(372,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(382,1),(413,1)}
       396:{2,4,6}:{(371,1),(373,1),(374,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       397:{2,5,7}:{(372,1),(375,1),(383,1),(410,1),(412,1),(414,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{3,5}:{(381,1),(383,1),(415,1)}
       403:{4,6}:{(382,1),(413,1),(415,1)}
       404:{1,4,6}:{(384,1),(386,1),(400,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(384,1),(385,1),(387,1),(417,1)}
       406:{2,5}:{(386,1),(388,1),(416,1)}
       407:{2,4,7}:{(386,1),(387,1),(389,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(390,1),(393,1),(418,1),(419,1)}
       409:{1,4,6}:{(390,1),(392,1),(396,1),(419,1),(420,1)}
       410:{1,5,7}:{(391,1),(397,1),(401,1),(420,1)}
       411:{3,6}:{(393,1),(396,1)}
       412:{3,5,7}:{(394,1),(397,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(395,1),(403,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(421,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 406 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(128,1),(184,1),(237,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(149,1),(260,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(158,1),(166,1),(212,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(70,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(70,1),(119,1),(184,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(120,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(29,1),(85,1),(129,1),(186,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(30,1),(39,1),(41,1),(76,1),(85,1),(120,1),(126,1),(138,1),(198,1),(200,1),(237,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(47,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(48,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(91,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(48,1),(92,1),(105,1),(212,1),(260,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(149,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(47,1),(61,1),(101,1),(149,1),(156,1),(214,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(48,1),(60,1),(170,1),(226,1),(227,1),(260,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(36,1),(66,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(28,1),(29,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(29,1),(32,1),(70,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(30,1),(32,1),(39,1),(120,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(119,1),(177,1),(184,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(28,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(29,1),(35,1),(37,1),(42,1),(70,1),(82,1),(85,1),(119,1),(133,1),(136,1),(186,1),(201,1),(240,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(70,1),(240,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(126,1),(142,1),(201,1)}
        28:{1,5,7}:{(16,1),(17,1),(44,1),(113,1)}
        29:{2,5,6}:{(17,1),(18,1),(44,1),(47,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(23,1),(45,1),(47,1),(48,1),(57,1),(92,1)}
        31:{1,3,5,6,7}:{(18,1),(46,1),(49,1),(94,1),(98,1),(266,1)}
        32:{1,4,6}:{(18,1),(19,1),(47,1),(149,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(48,1),(51,1),(52,1),(60,1),(97,1),(98,1),(109,1),(151,1),(162,1),(171,1),(211,1),(220,1),(227,1),(260,1),(265,1),(297,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(92,1),(204,1),(212,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(44,1),(53,1),(55,1),(63,1),(91,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(48,1),(58,1),(260,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(156,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{1,5,6}:{(28,1),(29,1),(66,1)}
        45:{1,4,5,7}:{(28,1),(30,1),(36,1),(66,1),(67,1),(79,1)}
        46:{2,5,6,7}:{(29,1),(31,1),(65,1),(68,1),(127,1),(282,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(66,1),(70,1),(119,1)}
        48:{3,5,7}:{(30,1),(38,1),(70,1),(82,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(68,1),(72,1),(177,1),(284,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(69,1),(72,1),(74,1),(179,1),(185,1),(245,1),(284,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(70,1),(74,1),(75,1),(123,1),(125,1),(185,1),(240,1),(284,1),(307,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(85,1),(126,1),(127,1),(139,1),(182,1),(188,1),(200,1),(237,1),(242,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(119,1),(136,1),(143,1),(179,1),(186,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(237,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(67,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(70,1),(82,1),(240,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(71,1),(81,1),(83,1),(84,1),(142,1),(182,1),(188,1),(229,1),(251,1),(280,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(126,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(158,1),(293,1)}
        66:{1,4,6}:{(44,1),(45,1),(47,1),(91,1)}
        67:{1,3,5,7}:{(45,1),(48,1),(56,1),(91,1),(92,1),(106,1)}
        68:{2,4,6,7}:{(46,1),(47,1),(49,1),(89,1),(93,1),(94,1),(146,1),(298,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(57,1),(90,1),(93,1),(95,1),(100,1),(148,1),(154,1),(214,1),(264,1),(298,1)}
        70:{3,6}:{(47,1),(48,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(59,1),(92,1),(96,1),(97,1),(110,1),(227,1),(260,1),(297,1),(309,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(93,1),(98,1),(204,1),(211,1)}
        73:{1,3,4,6,7}:{(49,1),(51,1),(94,1),(98,1),(99,1),(151,1),(153,1),(211,1),(260,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(95,1),(98,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(96,1),(100,1),(101,1),(156,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(97,1),(101,1),(113,1),(158,1),(171,1),(210,1),(211,1),(259,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(207,1),(214,1),(256,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(260,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(91,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(92,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(96,1),(107,1),(110,1),(111,1),(154,1),(173,1),(206,1),(216,1),(221,1),(228,1),(263,1),(295,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(97,1),(108,1),(111,1),(112,1),(115,1),(170,1),(210,1),(211,1),(252,1),(260,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(156,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(68,1),(116,1),(117,1),(304,1)}
        90:{1,4,5,6}:{(66,1),(69,1),(79,1),(116,1),(118,1),(129,1),(185,1),(279,1),(304,1)}
        91:{1,3,6}:{(66,1),(67,1),(70,1),(119,1)}
        92:{2,5,7}:{(67,1),(81,1),(119,1),(120,1),(136,1)}
        93:{2,4,5,7}:{(68,1),(69,1),(72,1),(116,1),(121,1),(127,1),(176,1),(182,1),(237,1)}
        94:{3,6,7}:{(68,1),(70,1),(121,1),(307,1)}
        95:{3,5,6}:{(69,1),(70,1),(82,1),(121,1),(123,1),(240,1),(283,1),(307,1)}
        96:{2,3,6}:{(70,1),(71,1),(75,1),(119,1),(125,1),(240,1),(307,1),(313,1)}
        97:{1,3,5,7}:{(71,1),(76,1),(84,1),(120,1),(125,1),(126,1),(140,1),(312,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(121,1),(127,1)}
        99:{2,4,6,7}:{(73,1),(75,1),(122,1),(127,1),(128,1),(182,1),(184,1),(237,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(127,1),(129,1),(242,1)}
       101:{1,4,6}:{(75,1),(76,1),(125,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(126,1),(130,1),(131,1),(143,1),(188,1),(189,1),(200,1),(202,1),(237,1),(242,1),(243,1),(245,1),(281,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(240,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(119,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(120,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(123,1),(139,1),(251,1),(283,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(242,1),(283,1),(306,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(125,1),(137,1),(140,1),(141,1),(144,1),(185,1),(199,1),(202,1),(233,1),(236,1),(240,1),(246,1),(250,1),(251,1),(305,1)}
       112:{2,4,7}:{(84,1),(126,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(276,1),(285,1),(305,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(93,1),(145,1),(158,1),(211,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(94,1),(145,1),(146,1),(310,1)}
       118:{1,3,5,6}:{(90,1),(91,1),(95,1),(106,1),(145,1),(147,1),(148,1),(296,1),(310,1)}
       119:{2,6}:{(91,1),(92,1),(149,1)}
       120:{1,5,7}:{(92,1),(108,1),(149,1),(168,1)}
       121:{3,5,7}:{(93,1),(94,1),(95,1),(151,1),(260,1)}
       122:{2,3,6,7}:{(94,1),(96,1),(99,1),(146,1),(152,1),(153,1),(260,1)}
       123:{3,4,6}:{(95,1),(109,1),(151,1),(154,1)}
       124:{2,3,5,6}:{(95,1),(96,1),(100,1),(110,1),(148,1),(152,1),(154,1),(155,1),(206,1)}
       125:{1,3,6}:{(96,1),(97,1),(101,1),(149,1),(156,1),(314,1)}
       126:{2,5,7}:{(97,1),(112,1),(156,1),(172,1)}
       127:{2,5,7}:{(98,1),(99,1),(100,1),(158,1)}
       128:{1,4,6,7}:{(99,1),(101,1),(153,1),(158,1),(211,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(158,1),(259,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(156,1),(160,1),(161,1),(214,1),(216,1),(219,1),(298,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(157,1),(161,1),(162,1),(174,1),(220,1),(227,1),(260,1),(297,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(256,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(147,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(296,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(149,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(150,1),(166,1),(169,1),(170,1),(210,1)}
       139:{2,4,5}:{(109,1),(110,1),(154,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(259,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(156,1),(172,1),(173,1),(228,1),(256,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(260,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(121,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(119,1),(176,1),(177,1),(313,1)}
       147:{1,3,4,6}:{(118,1),(123,1),(135,1),(175,1),(178,1),(185,1),(233,1),(240,1)}
       148:{2,5,6}:{(118,1),(119,1),(136,1),(176,1),(178,1),(179,1),(306,1),(313,1)}
       149:{1,6}:{(119,1),(120,1)}
       150:{1,2,5,7}:{(120,1),(126,1),(138,1),(180,1),(181,1),(198,1)}
       151:{3,4,7}:{(121,1),(123,1),(182,1)}
       152:{2,3,5,7}:{(121,1),(122,1),(124,1),(127,1),(176,1),(182,1),(183,1),(229,1)}
       153:{1,3,6,7}:{(122,1),(125,1),(128,1),(177,1),(183,1),(184,1)}
       154:{2,4,6}:{(123,1),(124,1),(139,1),(182,1),(185,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(129,1),(140,1),(179,1),(183,1),(185,1),(186,1),(233,1),(240,1)}
       156:{2,6}:{(125,1),(126,1)}
       157:{2,3,5,7}:{(126,1),(131,1),(142,1),(181,1),(187,1),(188,1),(201,1),(242,1)}
       158:{1,5,7}:{(127,1),(128,1),(129,1)}
       159:{1,2,4,6,7}:{(128,1),(130,1),(184,1),(189,1),(190,1),(237,1),(239,1),(243,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(186,1),(189,1),(191,1),(242,1),(276,1),(282,1)}
       161:{1,3,6}:{(130,1),(131,1),(187,1),(240,1),(307,1)}
       162:{1,3,4,7}:{(131,1),(188,1),(192,1),(202,1),(243,1),(251,1),(280,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(178,1),(193,1),(196,1),(197,1),(248,1),(288,1),(306,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(180,1),(195,1),(198,1),(199,1),(236,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(185,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(240,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(151,1),(203,1),(211,1),(252,1),(260,1)}
       176:{2,5,7}:{(145,1),(146,1),(148,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(149,1),(204,1),(314,1)}
       178:{2,4,6}:{(147,1),(148,1),(167,1),(203,1),(206,1),(207,1),(256,1)}
       179:{1,5,6}:{(148,1),(149,1),(168,1),(204,1),(207,1),(311,1),(314,1)}
       180:{1,2,6}:{(149,1),(150,1),(156,1),(209,1)}
       181:{1,3,5,7}:{(150,1),(157,1),(170,1),(209,1),(210,1),(226,1),(259,1)}
       182:{2,4,7}:{(151,1),(152,1),(154,1),(211,1)}
       183:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(204,1),(211,1),(212,1),(252,1),(260,1)}
       184:{2,6,7}:{(153,1),(156,1),(212,1)}
       185:{1,4,6}:{(154,1),(155,1),(171,1),(211,1),(214,1)}
       186:{2,5,6}:{(155,1),(156,1),(172,1),(212,1),(214,1),(256,1)}
       187:{2,3,6}:{(156,1),(157,1),(161,1),(209,1),(216,1)}
       188:{2,4,7}:{(157,1),(162,1),(210,1),(216,1),(228,1)}
       189:{1,2,5,7}:{(158,1),(159,1),(160,1),(212,1),(217,1),(262,1),(289,1)}
       190:{1,3,6,7}:{(159,1),(161,1),(213,1),(217,1),(260,1),(314,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(215,1),(217,1),(219,1),(220,1),(294,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(216,1),(219,1),(220,1),(263,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(256,1)}
       196:{2,3,5}:{(167,1),(206,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(207,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(259,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(214,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(178,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(179,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(184,1),(231,1),(232,1),(313,1)}
       206:{2,3,6}:{(178,1),(196,1),(229,1),(233,1),(240,1)}
       207:{1,4,6}:{(178,1),(179,1),(197,1),(230,1),(233,1)}
       208:{1,2,5,6}:{(179,1),(180,1),(186,1),(198,1),(231,1),(234,1),(235,1),(306,1),(313,1)}
       209:{1,3,6}:{(180,1),(181,1),(187,1),(236,1)}
       210:{1,4,7}:{(181,1),(188,1),(236,1),(250,1)}
       211:{1,4,7}:{(182,1),(183,1),(185,1),(237,1)}
       212:{2,5,7}:{(183,1),(184,1),(186,1),(237,1),(272,1)}
       213:{2,3,6,7}:{(184,1),(187,1),(190,1),(232,1),(238,1),(239,1),(307,1),(313,1)}
       214:{2,4,6}:{(185,1),(186,1),(200,1),(237,1),(240,1)}
       215:{2,3,5,6}:{(186,1),(187,1),(191,1),(201,1),(235,1),(238,1),(240,1),(241,1),(242,1),(277,1),(282,1),(283,1),(306,1),(307,1),(313,1)}
       216:{2,4,6}:{(187,1),(188,1),(192,1),(236,1),(242,1)}
       217:{1,3,5,7}:{(189,1),(190,1),(191,1),(238,1),(243,1),(301,1),(312,1)}
       218:{1,3,4,6,7}:{(190,1),(192,1),(239,1),(243,1),(244,1),(280,1),(284,1),(307,1)}
       219:{1,4,6}:{(191,1),(202,1),(241,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(242,1),(245,1),(283,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(233,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(234,1),(247,1),(248,1),(249,1),(250,1),(279,1),(288,1),(306,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(240,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(206,1),(252,1),(260,1)}
       230:{1,4,7}:{(203,1),(204,1),(207,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(208,1),(212,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(209,1),(213,1),(254,1),(255,1),(310,1)}
       233:{1,3,6}:{(206,1),(207,1),(224,1),(252,1),(256,1)}
       234:{1,2,4,6}:{(207,1),(208,1),(214,1),(225,1),(253,1),(256,1),(257,1),(258,1),(295,1)}
       235:{1,3,5,6}:{(208,1),(209,1),(215,1),(226,1),(254,1),(257,1),(258,1),(259,1),(293,1),(296,1),(310,1)}
       236:{1,4,6}:{(209,1),(210,1),(216,1),(259,1)}
       237:{2,4,7}:{(211,1),(212,1),(214,1),(260,1)}
       238:{2,3,5,7}:{(212,1),(213,1),(215,1),(217,1),(254,1),(260,1),(261,1),(262,1),(290,1),(297,1),(309,1)}
       239:{2,4,6,7}:{(213,1),(216,1),(218,1),(255,1),(261,1),(262,1),(298,1)}
       240:{3,6}:{(214,1),(227,1),(260,1)}
       241:{2,4,6}:{(215,1),(219,1),(228,1),(258,1),(261,1),(263,1),(264,1)}
       242:{2,5}:{(216,1),(220,1),(259,1)}
       243:{1,4,7}:{(217,1),(219,1),(261,1)}
       244:{1,3,5,7}:{(218,1),(220,1),(262,1),(265,1),(266,1),(297,1)}
       245:{1,4,5}:{(219,1),(220,1),(264,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(256,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(257,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(233,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(234,1),(237,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(235,1),(238,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(236,1),(239,1),(274,1),(275,1),(304,1)}
       256:{2,6}:{(233,1),(248,1),(272,1)}
       257:{1,3,6}:{(234,1),(240,1),(249,1),(273,1),(277,1)}
       258:{1,4,6}:{(235,1),(241,1),(250,1),(274,1),(279,1)}
       259:{1,5}:{(236,1),(242,1)}
       260:{3,7}:{(237,1),(240,1)}
       261:{2,4,7}:{(238,1),(241,1),(243,1),(274,1),(280,1)}
       262:{2,5,7}:{(239,1),(242,1),(244,1),(275,1),(282,1)}
       263:{3,4,6}:{(240,1),(241,1),(251,1),(280,1),(283,1),(307,1)}
       264:{2,4,5}:{(241,1),(242,1),(245,1),(279,1),(283,1),(306,1)}
       265:{1,4,5,7}:{(243,1),(244,1),(245,1),(281,1),(284,1),(312,1)}
       266:{1,3,5,6}:{(244,1),(282,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(276,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(277,1),(286,1),(287,1),(288,1),(306,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(256,1)}
       273:{1,3,7}:{(253,1),(257,1),(260,1),(290,1)}
       274:{1,4,7}:{(254,1),(258,1),(261,1)}
       275:{1,5,7}:{(255,1),(259,1),(262,1),(293,1)}
       276:{1,2,6}:{(256,1),(269,1),(289,1),(294,1)}
       277:{2,3,6}:{(256,1),(257,1),(270,1),(290,1),(294,1),(295,1)}
       278:{1,3,4,6}:{(257,1),(258,1),(263,1),(271,1),(291,1),(295,1),(296,1),(310,1)}
       279:{1,4,5}:{(258,1),(259,1),(264,1),(296,1)}
       280:{3,4,7}:{(260,1),(261,1),(263,1),(297,1)}
       281:{2,4,5,7}:{(261,1),(262,1),(264,1),(265,1),(292,1),(297,1),(298,1),(309,1)}
       282:{2,5,6}:{(262,1),(266,1),(293,1),(298,1)}
       283:{3,5}:{(263,1),(264,1)}
       284:{1,4,6}:{(265,1),(266,1),(298,1),(314,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(294,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(276,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(277,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(278,1),(280,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(279,1),(281,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(282,1),(304,1)}
       294:{1,3,6}:{(276,1),(277,1),(287,1),(301,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(288,1),(302,1),(305,1),(306,1),(313,1)}
       296:{1,3,5}:{(278,1),(279,1),(283,1),(306,1)}
       297:{3,5,7}:{(280,1),(281,1),(283,1),(307,1)}
       298:{2,4,6}:{(281,1),(282,1),(284,1),(304,1),(307,1),(313,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(294,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(295,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(296,1),(297,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(298,1),(310,1)}
       305:{1,4,6}:{(294,1),(295,1),(300,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(295,1),(296,1),(311,1)}
       307:{3,6}:{(297,1),(298,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 407 :   0:{1,2,6,7}:{(2,1),(4,1),(146,1),(229,1),(289,1),(298,1)}
         1:{1,2,5,6}:{(3,1),(4,1),(5,1),(71,1),(125,1),(143,1),(146,1),(205,1),(216,1),(289,1)}
         2:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(104,1),(247,1),(328,1)}
         3:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(42,1),(44,1),(87,1),(104,1),(160,1),(247,1),(249,1),(328,1),(388,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(105,1),(166,1),(186,1),(258,1)}
         5:{1,2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(46,1),(184,1),(256,1),(268,1)}
         6:{1,2,6,7}:{(16,1),(18,1),(203,1),(234,1),(284,1),(298,1)}
         7:{1,2,5,6}:{(17,1),(18,1),(19,1),(77,1),(119,1),(148,1),(200,1),(203,1),(216,1),(234,1)}
         8:{2,3,6,7}:{(2,1),(16,1),(20,1),(21,1),(134,1),(146,1),(203,1),(298,1),(305,1),(364,1)}
         9:{2,3,5,6}:{(3,1),(17,1),(21,1),(22,1),(29,1),(57,1),(60,1),(62,1),(71,1),(119,1),(134,1),(146,1),(203,1),(216,1),(223,1),(297,1),(305,1),(369,1),(371,1)}
        10:{1,4,6,7}:{(2,1),(20,1),(23,1),(25,1),(69,1),(362,1)}
        11:{1,3,5,7}:{(2,1),(3,1),(4,1),(21,1),(23,1),(25,1),(28,1),(124,1),(204,1)}
        12:{1,4,6}:{(3,1),(22,1),(24,1),(25,1),(291,1)}
        13:{1,2,4,5}:{(5,1),(24,1),(27,1),(71,1),(74,1),(145,1),(205,1),(220,1),(232,1),(237,1),(291,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(25,1),(28,1),(72,1),(227,1),(296,1),(308,1)}
        15:{1,3,6}:{(5,1),(27,1),(28,1),(29,1),(297,1)}
        16:{1,3,6,7}:{(6,1),(8,1),(30,1),(31,1),(158,1),(190,1),(277,1)}
        17:{1,3,5,6}:{(7,1),(9,1),(31,1),(32,1),(35,1),(50,1),(79,1),(81,1),(106,1),(158,1),(190,1),(192,1),(277,1),(351,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(31,1),(34,1),(112,1),(159,1),(243,1),(258,1)}
        19:{1,2,4,6}:{(7,1),(32,1),(33,1),(34,1),(35,1),(83,1),(241,1),(256,1),(319,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(30,1),(36,1),(37,1),(39,1),(94,1),(341,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(31,1),(37,1),(39,1),(49,1),(86,1),(95,1),(105,1),(159,1),(258,1),(333,1),(389,1)}
        22:{2,4,6}:{(9,1),(12,1),(32,1),(38,1),(39,1),(40,1),(266,1),(394,1)}
        23:{1,5,7}:{(10,1),(37,1),(42,1),(388,1)}
        24:{1,4,5}:{(12,1),(38,1),(44,1),(160,1),(388,1)}
        25:{1,4,7}:{(11,1),(12,1),(39,1)}
        26:{1,3,4,6}:{(12,1),(15,1),(40,1),(44,1),(45,1),(46,1),(47,1),(104,1)}
        27:{1,3,5}:{(13,1),(15,1),(47,1),(48,1),(263,1),(279,1)}
        28:{1,3,7}:{(14,1),(15,1),(49,1),(333,1)}
        29:{2,3,6}:{(15,1),(46,1),(48,1),(49,1),(50,1),(268,1)}
        30:{1,4,6,7}:{(16,1),(20,1),(51,1),(53,1),(117,1),(317,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(18,1),(21,1),(51,1),(53,1),(56,1),(76,1),(147,1)}
        32:{1,4,6}:{(17,1),(22,1),(52,1),(53,1),(236,1)}
        33:{1,2,4,5}:{(19,1),(52,1),(55,1),(119,1),(122,1),(148,1),(202,1),(220,1),(236,1),(287,1),(292,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(53,1),(56,1),(120,1),(282,1),(296,1),(353,1)}
        35:{1,3,6}:{(19,1),(55,1),(56,1),(57,1),(297,1)}
        36:{3,4,6,7}:{(20,1),(59,1),(63,1),(131,1),(134,1),(364,1),(370,1),(408,1)}
        37:{2,5,7}:{(20,1),(23,1),(51,1),(59,1),(60,1),(371,1)}
        38:{2,4,5}:{(22,1),(24,1),(52,1),(62,1),(71,1),(119,1),(371,1),(412,1)}
        39:{2,4,7}:{(21,1),(22,1),(25,1),(53,1),(63,1),(408,1)}
        40:{3,4,6}:{(22,1),(62,1),(63,1),(134,1),(297,1),(304,1)}
        41:{1,4,5,6}:{(24,1),(58,1),(66,1),(67,1),(69,1),(200,1),(213,1),(301,1),(314,1),(378,1)}
        42:{1,5,6}:{(23,1),(60,1),(69,1)}
        43:{1,4,5,7}:{(23,1),(24,1),(25,1),(61,1),(69,1),(70,1),(204,1)}
        44:{1,3,5}:{(24,1),(26,1),(62,1),(71,1)}
        45:{1,3,4,7}:{(25,1),(26,1),(28,1),(63,1),(70,1),(72,1)}
        46:{2,4,6}:{(26,1),(29,1),(71,1),(72,1),(73,1),(74,1),(146,1)}
        47:{1,3,4}:{(27,1),(74,1),(291,1),(304,1)}
        48:{2,3,5}:{(27,1),(29,1),(71,1),(74,1),(75,1),(232,1),(238,1)}
        49:{2,3,7}:{(28,1),(29,1),(72,1),(76,1),(308,1)}
        50:{1,3,6}:{(29,1),(73,1),(75,1),(76,1),(77,1)}
        51:{1,5,7}:{(30,1),(37,1),(79,1),(351,1)}
        52:{1,4,5}:{(32,1),(38,1),(81,1),(106,1),(351,1)}
        53:{1,4,7}:{(31,1),(32,1),(39,1)}
        54:{1,3,4,6}:{(32,1),(35,1),(40,1),(81,1),(82,1),(83,1),(84,1),(158,1)}
        55:{1,3,5}:{(33,1),(35,1),(84,1),(85,1),(263,1),(330,1)}
        56:{1,3,7}:{(34,1),(35,1),(86,1),(333,1)}
        57:{2,3,6}:{(35,1),(83,1),(85,1),(86,1),(87,1),(319,1)}
        58:{2,4,5,6}:{(38,1),(41,1),(78,1),(89,1),(90,1),(94,1),(102,1),(156,1),(169,1),(173,1),(256,1),(260,1),(337,1),(338,1),(393,1),(394,1)}
        59:{3,5,7}:{(36,1),(37,1),(91,1),(92,1),(395,1)}
        60:{2,5,6}:{(37,1),(42,1),(79,1),(91,1),(94,1)}
        61:{2,4,5,7}:{(37,1),(38,1),(39,1),(43,1),(80,1),(92,1),(94,1),(95,1),(105,1),(159,1)}
        62:{3,5}:{(38,1),(40,1)}
        63:{3,4,7}:{(39,1),(40,1),(95,1),(333,1)}
        64:{2,3,4,6}:{(40,1),(46,1),(83,1),(96,1),(97,1),(98,1),(109,1),(163,1),(169,1),(177,1),(181,1),(182,1),(239,1),(266,1),(334,1),(341,1),(345,1),(382,1)}
        65:{1,5,6,7}:{(42,1),(88,1),(100,1),(331,1),(400,1)}
        66:{1,4,5,7}:{(41,1),(89,1),(100,1),(101,1),(243,1),(255,1),(331,1)}
        67:{1,3,5,6}:{(41,1),(44,1),(90,1),(99,1),(101,1),(102,1),(104,1),(347,1),(399,1)}
        68:{1,3,4,5}:{(44,1),(47,1),(93,1),(99,1),(103,1),(176,1),(188,1),(263,1),(276,1),(347,1)}
        69:{1,4,6}:{(42,1),(43,1),(94,1),(104,1),(247,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(45,1),(95,1),(104,1),(105,1)}
        71:{2,5}:{(44,1),(46,1),(106,1)}
        72:{2,4,7}:{(45,1),(46,1),(49,1),(105,1),(107,1)}
        73:{1,4,6}:{(46,1),(50,1),(106,1),(107,1),(110,1),(190,1)}
        74:{2,4}:{(47,1),(48,1),(110,1)}
        75:{1,3,5}:{(48,1),(50,1),(106,1),(110,1),(111,1),(195,1)}
        76:{1,3,7}:{(49,1),(50,1),(107,1),(112,1)}
        77:{1,2,6}:{(50,1),(111,1),(112,1),(268,1)}
        78:{1,4,5,6}:{(52,1),(58,1),(114,1),(115,1),(117,1),(143,1),(213,1),(301,1),(359,1),(407,1)}
        79:{1,5,6}:{(51,1),(60,1),(117,1)}
        80:{1,4,5,7}:{(51,1),(52,1),(53,1),(61,1),(117,1),(118,1),(147,1)}
        81:{1,3,5}:{(52,1),(54,1),(62,1),(119,1)}
        82:{1,3,4,7}:{(53,1),(54,1),(56,1),(63,1),(118,1),(120,1)}
        83:{2,4,6}:{(54,1),(57,1),(119,1),(120,1),(121,1),(122,1),(203,1)}
        84:{1,3,4}:{(55,1),(122,1),(236,1),(304,1)}
        85:{2,3,5}:{(55,1),(57,1),(119,1),(122,1),(123,1),(287,1),(293,1)}
        86:{2,3,7}:{(56,1),(57,1),(120,1),(124,1),(353,1)}
        87:{1,3,6}:{(57,1),(121,1),(123,1),(124,1),(125,1)}
        88:{2,5,6,7}:{(60,1),(65,1),(113,1),(126,1),(128,1),(294,1),(363,1),(411,1)}
        89:{2,4,5,7}:{(58,1),(66,1),(114,1),(128,1),(129,1),(142,1),(199,1),(210,1),(212,1),(294,1),(296,1),(363,1),(408,1)}
        90:{3,5,6}:{(58,1),(62,1),(127,1),(129,1),(134,1),(297,1),(366,1),(410,1)}
        91:{3,5,6}:{(59,1),(60,1),(131,1),(134,1)}
        92:{4,5,7}:{(59,1),(131,1),(408,1),(412,1)}
        93:{3,4,5}:{(62,1),(127,1),(133,1),(304,1),(366,1),(412,1)}
        94:{2,4,6}:{(60,1),(61,1),(69,1),(117,1),(131,1),(134,1),(146,1),(203,1)}
        95:{3,5,7}:{(61,1),(62,1),(63,1),(134,1)}
        96:{2,3,5}:{(62,1),(64,1),(71,1),(119,1),(133,1),(136,1),(366,1),(371,1),(375,1),(404,1)}
        97:{2,3,4,7}:{(63,1),(64,1),(72,1),(120,1),(135,1),(137,1),(212,1),(224,1),(225,1),(280,1),(306,1),(365,1),(374,1),(403,1)}
        98:{1,3,4,6}:{(64,1),(73,1),(121,1),(136,1),(137,1),(138,1),(150,1),(151,1),(207,1),(208,1),(213,1),(221,1),(226,1),(236,1),(281,1),(291,1),(297,1),(304,1),(317,1),(362,1),(370,1),(373,1),(402,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(127,1),(139,1),(140,1),(213,1),(226,1),(297,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(69,1),(128,1),(141,1),(284,1),(378,1)}
       101:{1,3,5,7}:{(66,1),(67,1),(129,1),(139,1),(141,1),(142,1)}
       102:{2,5,6}:{(67,1),(71,1),(140,1),(142,1),(143,1),(146,1),(375,1),(414,1)}
       103:{2,4,5}:{(68,1),(71,1),(74,1),(140,1),(144,1),(145,1),(232,1),(316,1),(375,1)}
       104:{1,3,6}:{(69,1),(70,1),(134,1),(146,1)}
       105:{2,5,7}:{(70,1),(71,1),(72,1),(146,1),(147,1)}
       106:{1,5}:{(71,1),(73,1)}
       107:{1,4,7}:{(72,1),(73,1),(76,1),(147,1)}
       108:{1,2,4,6}:{(73,1),(77,1),(138,1),(148,1),(149,1),(150,1),(152,1),(234,1),(236,1),(292,1),(317,1),(352,1),(402,1)}
       109:{2,3,4}:{(74,1),(144,1),(151,1),(238,1),(304,1),(316,1)}
       110:{1,4}:{(74,1),(75,1)}
       111:{1,2,5}:{(75,1),(77,1),(152,1),(232,1)}
       112:{1,2,7}:{(76,1),(77,1),(308,1)}
       113:{1,5,6,7}:{(79,1),(88,1),(154,1),(331,1),(419,1)}
       114:{1,4,5,7}:{(78,1),(89,1),(154,1),(155,1),(186,1),(255,1),(331,1)}
       115:{1,3,5,6}:{(78,1),(81,1),(90,1),(153,1),(155,1),(156,1),(158,1),(384,1),(418,1)}
       116:{1,3,4,5}:{(81,1),(84,1),(93,1),(153,1),(157,1),(176,1),(245,1),(263,1),(327,1),(384,1)}
       117:{1,4,6}:{(79,1),(80,1),(94,1),(158,1),(190,1)}
       118:{1,3,5,7}:{(80,1),(81,1),(82,1),(95,1),(158,1),(159,1)}
       119:{2,5}:{(81,1),(83,1),(160,1)}
       120:{2,4,7}:{(82,1),(83,1),(86,1),(159,1),(161,1)}
       121:{1,4,6}:{(83,1),(87,1),(160,1),(161,1),(164,1),(247,1)}
       122:{2,4}:{(84,1),(85,1),(164,1)}
       123:{1,3,5}:{(85,1),(87,1),(160,1),(164,1),(165,1),(252,1)}
       124:{1,3,7}:{(86,1),(87,1),(161,1),(166,1)}
       125:{1,2,6}:{(87,1),(165,1),(166,1),(319,1)}
       126:{3,5,6,7}:{(88,1),(91,1),(167,1),(170,1),(253,1),(389,1),(421,1)}
       127:{3,4,6}:{(90,1),(93,1),(168,1),(169,1),(394,1)}
       128:{2,4,6,7}:{(88,1),(89,1),(94,1),(100,1),(154,1),(167,1),(170,1),(185,1),(242,1),(393,1)}
       129:{3,5,7}:{(89,1),(90,1),(168,1),(170,1),(333,1)}
       130:{2,3,5,6}:{(90,1),(96,1),(102,1),(156,1),(169,1),(171,1),(172,1),(177,1),(182,1),(239,1),(260,1)}
       131:{4,6}:{(91,1),(92,1)}
       132:{3,4,5,7}:{(92,1),(93,1),(95,1),(168,1),(174,1),(175,1),(253,1),(340,1),(391,1),(395,1),(420,1)}
       133:{2,4,5}:{(93,1),(96,1),(169,1),(176,1),(266,1)}
       134:{3,6}:{(94,1),(95,1)}
       135:{2,3,5,7}:{(95,1),(96,1),(97,1),(105,1),(159,1),(175,1),(177,1),(178,1),(391,1),(398,1),(417,1)}
       136:{1,3,5}:{(96,1),(98,1),(106,1),(160,1),(176,1),(179,1),(263,1),(351,1),(388,1),(395,1),(397,1),(416,1)}
       137:{1,3,4,7}:{(97,1),(98,1),(107,1),(161,1),(178,1),(180,1),(193,1),(250,1),(255,1),(267,1),(278,1),(318,1),(329,1),(333,1),(340,1),(396,1),(415,1)}
       138:{2,4,6}:{(98,1),(179,1),(180,1),(181,1),(194,1),(251,1),(264,1),(266,1),(268,1),(319,1)}
       139:{1,3,4,7}:{(99,1),(101,1),(168,1),(183,1),(255,1),(267,1),(333,1)}
       140:{2,4,6}:{(99,1),(102,1),(103,1),(182,1),(183,1),(184,1),(268,1)}
       141:{1,3,6,7}:{(100,1),(101,1),(104,1),(170,1),(185,1),(399,1)}
       142:{2,5,7}:{(101,1),(102,1),(183,1),(185,1),(186,1)}
       143:{1,5,6}:{(102,1),(106,1),(184,1),(186,1),(190,1),(397,1),(422,1)}
       144:{2,3,5}:{(103,1),(109,1),(182,1),(188,1),(263,1)}
       145:{1,4,5}:{(103,1),(106,1),(110,1),(184,1),(188,1),(350,1),(397,1)}
       146:{2,6}:{(104,1),(105,1),(190,1)}
       147:{1,5,7}:{(105,1),(106,1),(107,1),(190,1)}
       148:{1,2,5}:{(106,1),(108,1),(179,1),(192,1),(351,1),(416,1)}
       149:{1,2,4,7}:{(107,1),(108,1),(112,1),(180,1),(191,1),(193,1),(278,1),(379,1),(415,1)}
       150:{1,3,6}:{(108,1),(181,1),(192,1),(193,1),(195,1),(330,1)}
       151:{1,3,4}:{(109,1),(110,1),(188,1),(194,1),(195,1),(279,1),(350,1)}
       152:{1,2,4}:{(110,1),(111,1),(194,1),(195,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(127,1),(196,1),(197,1),(213,1),(281,1),(297,1)}
       154:{1,4,6,7}:{(113,1),(114,1),(117,1),(128,1),(198,1),(229,1),(407,1)}
       155:{1,3,5,7}:{(114,1),(115,1),(129,1),(196,1),(198,1),(199,1)}
       156:{2,5,6}:{(115,1),(119,1),(197,1),(199,1),(200,1),(203,1),(404,1),(424,1)}
       157:{2,4,5}:{(116,1),(119,1),(122,1),(197,1),(201,1),(202,1),(287,1),(361,1),(404,1)}
       158:{1,3,6}:{(117,1),(118,1),(134,1),(203,1)}
       159:{2,5,7}:{(118,1),(119,1),(120,1),(203,1),(204,1)}
       160:{1,5}:{(119,1),(121,1)}
       161:{1,4,7}:{(120,1),(121,1),(124,1),(204,1)}
       162:{1,2,4,6}:{(121,1),(125,1),(138,1),(205,1),(206,1),(207,1),(209,1),(237,1),(289,1),(291,1),(307,1),(362,1),(373,1)}
       163:{2,3,4}:{(122,1),(201,1),(208,1),(293,1),(304,1),(361,1)}
       164:{1,4}:{(122,1),(123,1)}
       165:{1,2,5}:{(123,1),(125,1),(209,1),(287,1)}
       166:{1,2,7}:{(124,1),(125,1),(353,1)}
       167:{4,6,7}:{(126,1),(131,1),(210,1),(408,1),(425,1)}
       168:{3,4,7}:{(127,1),(129,1),(212,1),(408,1)}
       169:{2,4,6}:{(127,1),(130,1),(133,1),(212,1),(213,1)}
       170:{3,6,7}:{(128,1),(129,1),(134,1),(410,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(142,1),(199,1),(212,1),(214,1),(215,1),(225,1),(280,1),(294,1)}
       172:{1,3,5,6}:{(130,1),(136,1),(143,1),(200,1),(213,1),(215,1),(216,1),(221,1),(226,1),(281,1),(297,1),(301,1),(369,1)}
       173:{4,5,6}:{(131,1),(210,1),(217,1),(412,1),(425,1)}
       174:{3,4,6}:{(131,1),(132,1),(134,1),(217,1),(218,1),(410,1),(425,1)}
       175:{2,4,5,7}:{(132,1),(133,1),(135,1),(212,1),(218,1),(219,1),(294,1),(306,1),(371,1)}
       176:{1,4,5}:{(133,1),(136,1),(213,1),(220,1),(236,1),(291,1),(412,1)}
       177:{2,3,6}:{(134,1),(135,1),(146,1),(203,1),(218,1),(221,1),(410,1),(414,1),(424,1)}
       178:{1,3,5,7}:{(135,1),(136,1),(137,1),(147,1),(204,1),(219,1),(221,1),(222,1),(303,1),(413,1),(423,1)}
       179:{2,5}:{(136,1),(138,1)}
       180:{2,4,7}:{(137,1),(138,1),(222,1),(224,1),(308,1),(353,1)}
       181:{2,3,6}:{(138,1),(150,1),(207,1),(223,1),(224,1),(238,1),(293,1),(297,1)}
       182:{2,3,6}:{(140,1),(144,1),(225,1),(226,1),(297,1)}
       183:{2,4,7}:{(139,1),(140,1),(142,1),(225,1),(227,1),(308,1)}
       184:{1,4,6}:{(140,1),(143,1),(145,1),(226,1),(227,1)}
       185:{2,6,7}:{(141,1),(142,1),(146,1),(229,1),(414,1)}
       186:{1,5,7}:{(142,1),(143,1),(227,1),(229,1)}
       187:{1,2,5,6}:{(143,1),(148,1),(216,1),(228,1),(230,1),(231,1),(234,1),(352,1),(375,1),(414,1)}
       188:{1,3,5}:{(144,1),(145,1),(151,1),(226,1),(232,1)}
       189:{1,2,4,5}:{(145,1),(148,1),(152,1),(220,1),(228,1),(232,1),(233,1),(236,1),(314,1),(316,1),(375,1)}
       190:{1,6}:{(146,1),(147,1)}
       191:{1,2,5,7}:{(147,1),(148,1),(149,1),(222,1),(234,1),(235,1),(423,1)}
       192:{1,3,5}:{(148,1),(150,1),(223,1),(236,1)}
       193:{1,3,7}:{(149,1),(150,1),(224,1)}
       194:{2,4}:{(151,1),(232,1),(238,1)}
       195:{1,3}:{(152,1),(238,1)}
       196:{1,3,4,7}:{(153,1),(155,1),(168,1),(240,1),(255,1),(318,1),(333,1)}
       197:{2,4,6}:{(153,1),(156,1),(157,1),(239,1),(240,1),(241,1),(319,1)}
       198:{1,3,6,7}:{(154,1),(155,1),(158,1),(170,1),(242,1),(418,1)}
       199:{2,5,7}:{(155,1),(156,1),(240,1),(242,1),(243,1)}
       200:{1,5,6}:{(156,1),(160,1),(241,1),(243,1),(247,1),(416,1),(426,1)}
       201:{2,3,5}:{(157,1),(163,1),(239,1),(245,1),(263,1)}
       202:{1,4,5}:{(157,1),(160,1),(164,1),(241,1),(245,1),(387,1),(416,1)}
       203:{2,6}:{(158,1),(159,1),(247,1)}
       204:{1,5,7}:{(159,1),(160,1),(161,1),(247,1)}
       205:{1,2,5}:{(160,1),(162,1),(179,1),(249,1),(388,1),(397,1)}
       206:{1,2,4,7}:{(161,1),(162,1),(166,1),(180,1),(248,1),(250,1),(329,1),(342,1),(396,1)}
       207:{1,3,6}:{(162,1),(181,1),(249,1),(250,1),(252,1),(279,1)}
       208:{1,3,4}:{(163,1),(164,1),(245,1),(251,1),(252,1),(330,1),(387,1)}
       209:{1,2,4}:{(164,1),(165,1),(251,1),(252,1)}
       210:{4,5,7}:{(167,1),(173,1),(253,1)}
       211:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(253,1),(254,1)}
       212:{2,4,7}:{(168,1),(169,1),(171,1),(255,1)}
       213:{1,4,6}:{(169,1),(172,1),(176,1),(255,1),(256,1),(394,1)}
       214:{2,3,6,7}:{(170,1),(171,1),(177,1),(185,1),(242,1),(254,1),(257,1)}
       215:{1,3,5,7}:{(171,1),(172,1),(186,1),(243,1),(255,1),(257,1),(258,1),(267,1),(318,1),(331,1),(333,1),(389,1)}
       216:{2,5,6}:{(172,1),(179,1),(256,1),(258,1),(264,1),(268,1),(319,1)}
       217:{3,5,6}:{(173,1),(174,1),(253,1),(260,1),(395,1)}
       218:{2,4,6}:{(174,1),(175,1),(177,1),(260,1),(261,1)}
       219:{1,4,5,7}:{(175,1),(176,1),(178,1),(255,1),(261,1),(262,1),(278,1),(329,1),(331,1),(351,1),(388,1)}
       220:{2,4,5}:{(176,1),(179,1),(256,1),(263,1),(266,1)}
       221:{1,3,6}:{(177,1),(178,1),(190,1),(247,1),(261,1),(264,1),(339,1),(422,1),(426,1)}
       222:{2,5,7}:{(178,1),(179,1),(180,1),(264,1)}
       223:{2,3,5}:{(179,1),(181,1),(192,1),(249,1),(263,1),(266,1)}
       224:{2,3,7}:{(180,1),(181,1),(193,1),(250,1),(333,1)}
       225:{2,3,7}:{(182,1),(183,1),(267,1),(333,1)}
       226:{1,3,6}:{(182,1),(184,1),(188,1),(267,1),(268,1)}
       227:{1,4,7}:{(183,1),(184,1),(186,1),(267,1)}
       228:{1,2,4,6}:{(184,1),(187,1),(189,1),(256,1),(268,1),(269,1),(270,1),(273,1),(345,1)}
       229:{1,6,7}:{(185,1),(186,1),(190,1),(422,1)}
       230:{1,2,5,7}:{(186,1),(187,1),(258,1),(269,1),(271,1),(272,1),(379,1),(398,1)}
       231:{1,3,5,6}:{(187,1),(192,1),(259,1),(270,1),(272,1),(273,1),(277,1),(347,1),(351,1),(380,1),(399,1),(400,1),(416,1),(426,1)}
       232:{2,5}:{(188,1),(194,1),(268,1)}
       233:{1,3,5}:{(189,1),(195,1),(263,1),(270,1),(275,1),(276,1)}
       234:{1,2,6}:{(190,1),(191,1),(264,1),(277,1),(426,1)}
       235:{1,3,5,7}:{(191,1),(192,1),(193,1),(265,1),(277,1),(278,1),(351,1)}
       236:{1,4}:{(192,1),(266,1)}
       237:{1,2,4}:{(194,1),(274,1),(279,1),(350,1)}
       238:{2,3}:{(194,1),(195,1),(279,1)}
       239:{2,3,6}:{(197,1),(201,1),(280,1),(281,1),(297,1)}
       240:{2,4,7}:{(196,1),(197,1),(199,1),(280,1),(282,1),(353,1)}
       241:{1,4,6}:{(197,1),(200,1),(202,1),(281,1),(282,1)}
       242:{2,6,7}:{(198,1),(199,1),(203,1),(284,1),(424,1)}
       243:{1,5,7}:{(199,1),(200,1),(282,1),(284,1)}
       244:{1,2,5,6}:{(200,1),(205,1),(216,1),(283,1),(285,1),(286,1),(289,1),(307,1),(404,1),(424,1)}
       245:{1,3,5}:{(201,1),(202,1),(208,1),(281,1),(287,1)}
       246:{1,2,4,5}:{(202,1),(205,1),(209,1),(220,1),(283,1),(287,1),(288,1),(291,1),(359,1),(361,1),(404,1)}
       247:{1,6}:{(203,1),(204,1)}
       248:{1,2,5,7}:{(204,1),(205,1),(206,1),(222,1),(289,1),(290,1),(413,1)}
       249:{1,3,5}:{(205,1),(207,1),(223,1),(291,1)}
       250:{1,3,7}:{(206,1),(207,1),(224,1)}
       251:{2,4}:{(208,1),(287,1),(293,1)}
       252:{1,3}:{(209,1),(293,1)}
       253:{3,5,7}:{(210,1),(211,1),(217,1),(294,1)}
       254:{2,4,6,7}:{(211,1),(212,1),(214,1),(218,1),(294,1),(295,1)}
       255:{1,4,7}:{(212,1),(213,1),(215,1),(296,1),(408,1)}
       256:{2,4,6}:{(213,1),(216,1),(220,1),(296,1),(297,1)}
       257:{1,3,6,7}:{(214,1),(215,1),(221,1),(229,1),(284,1),(295,1),(298,1),(364,1)}
       258:{2,5,7}:{(215,1),(216,1),(296,1),(298,1),(308,1),(353,1)}
       259:{2,3,5,6}:{(216,1),(223,1),(231,1),(286,1),(297,1),(299,1),(300,1),(305,1),(309,1),(354,1),(366,1),(369,1),(371,1),(375,1),(404,1),(410,1),(411,1),(414,1),(424,1)}
       260:{2,5,6}:{(217,1),(218,1),(294,1),(301,1),(371,1)}
       261:{1,4,6}:{(218,1),(219,1),(221,1),(301,1),(302,1)}
       262:{2,4,5,7}:{(219,1),(220,1),(222,1),(296,1),(302,1),(303,1),(306,1),(363,1),(371,1),(408,1),(412,1)}
       263:{3,5}:{(220,1),(297,1),(304,1)}
       264:{2,6}:{(221,1),(222,1)}
       265:{2,3,5,7}:{(222,1),(223,1),(224,1),(235,1),(290,1),(303,1),(305,1),(306,1),(371,1)}
       266:{2,4}:{(223,1),(236,1),(291,1),(304,1)}
       267:{1,3,7}:{(225,1),(226,1),(227,1),(308,1)}
       268:{2,6}:{(226,1),(232,1),(308,1)}
       269:{1,2,4,7}:{(227,1),(228,1),(230,1),(296,1),(308,1),(310,1),(313,1),(374,1)}
       270:{1,3,6}:{(228,1),(233,1),(297,1),(309,1),(310,1)}
       271:{1,2,6,7}:{(229,1),(230,1),(234,1),(298,1),(312,1),(414,1)}
       272:{1,3,5,7}:{(230,1),(231,1),(299,1),(310,1),(312,1),(313,1),(377,1),(401,1),(423,1)}
       273:{1,4,6}:{(231,1),(236,1),(300,1),(313,1),(314,1)}
       274:{1,2,5}:{(232,1),(237,1),(307,1),(315,1)}
       275:{2,3,5}:{(232,1),(233,1),(238,1),(309,1),(315,1),(316,1),(375,1)}
       276:{1,3,4}:{(233,1),(236,1),(304,1),(316,1)}
       277:{1,3,6}:{(234,1),(235,1),(305,1),(317,1)}
       278:{1,4,7}:{(235,1),(236,1),(306,1),(317,1)}
       279:{1,3}:{(237,1),(238,1)}
       280:{2,3,7}:{(239,1),(240,1),(318,1),(333,1)}
       281:{1,3,6}:{(239,1),(241,1),(245,1),(318,1),(319,1)}
       282:{1,4,7}:{(240,1),(241,1),(243,1),(318,1)}
       283:{1,2,4,6}:{(241,1),(244,1),(246,1),(256,1),(319,1),(320,1),(321,1),(324,1),(382,1)}
       284:{1,6,7}:{(242,1),(243,1),(247,1),(426,1)}
       285:{1,2,5,7}:{(243,1),(244,1),(258,1),(320,1),(322,1),(323,1),(342,1),(417,1)}
       286:{1,3,5,6}:{(244,1),(249,1),(259,1),(321,1),(323,1),(324,1),(328,1),(343,1),(384,1),(388,1),(397,1),(418,1),(419,1),(422,1)}
       287:{2,5}:{(245,1),(251,1),(319,1)}
       288:{1,3,5}:{(246,1),(252,1),(263,1),(321,1),(326,1),(327,1)}
       289:{1,2,6}:{(247,1),(248,1),(264,1),(328,1),(422,1)}
       290:{1,3,5,7}:{(248,1),(249,1),(250,1),(265,1),(328,1),(329,1),(388,1)}
       291:{1,4}:{(249,1),(266,1)}
       292:{1,2,4}:{(251,1),(325,1),(330,1),(387,1)}
       293:{2,3}:{(251,1),(252,1),(330,1)}
       294:{2,5,7}:{(253,1),(254,1),(260,1),(331,1)}
       295:{1,4,6,7}:{(254,1),(255,1),(257,1),(261,1),(331,1),(332,1)}
       296:{2,4,7}:{(255,1),(256,1),(258,1),(333,1)}
       297:{3,6}:{(256,1),(263,1),(333,1)}
       298:{2,6,7}:{(257,1),(258,1),(264,1)}
       299:{2,3,5,7}:{(258,1),(259,1),(272,1),(323,1),(333,1),(335,1),(336,1),(344,1),(381,1),(389,1),(391,1),(392,1),(398,1),(417,1)}
       300:{2,4,6}:{(259,1),(266,1),(273,1),(324,1),(334,1),(336,1),(337,1),(394,1)}
       301:{1,5,6}:{(260,1),(261,1),(331,1),(338,1),(351,1),(388,1)}
       302:{2,4,6}:{(261,1),(262,1),(264,1),(338,1),(339,1),(394,1)}
       303:{3,5,7}:{(262,1),(263,1),(333,1),(339,1),(340,1),(395,1)}
       304:{3,4}:{(263,1),(266,1)}
       305:{2,3,6}:{(264,1),(265,1),(277,1),(328,1),(339,1),(341,1)}
       306:{2,4,7}:{(265,1),(266,1),(278,1),(329,1),(340,1),(341,1)}
       307:{1,2,6}:{(268,1),(274,1),(342,1),(343,1)}
       308:{2,7}:{(267,1),(268,1)}
       309:{2,3,6}:{(268,1),(270,1),(275,1),(343,1),(344,1),(345,1)}
       310:{1,3,7}:{(269,1),(270,1),(333,1),(344,1)}
       311:{1,3,4,6}:{(270,1),(273,1),(276,1),(334,1),(345,1),(346,1),(347,1),(399,1)}
       312:{1,3,6,7}:{(271,1),(272,1),(277,1),(335,1),(348,1),(399,1),(426,1)}
       313:{1,4,7}:{(272,1),(273,1),(336,1)}
       314:{1,4,5}:{(273,1),(337,1),(347,1),(351,1),(416,1)}
       315:{1,3,5}:{(274,1),(275,1),(279,1),(343,1),(350,1),(397,1)}
       316:{2,4}:{(275,1),(276,1),(350,1)}
       317:{1,4,6}:{(277,1),(278,1),(341,1),(351,1)}
       318:{1,3,7}:{(280,1),(281,1),(282,1),(353,1)}
       319:{2,6}:{(281,1),(287,1),(353,1)}
       320:{1,2,4,7}:{(282,1),(283,1),(285,1),(296,1),(353,1),(355,1),(358,1),(403,1)}
       321:{1,3,6}:{(283,1),(288,1),(297,1),(354,1),(355,1)}
       322:{1,2,6,7}:{(284,1),(285,1),(289,1),(298,1),(357,1),(424,1)}
       323:{1,3,5,7}:{(285,1),(286,1),(299,1),(355,1),(357,1),(358,1),(372,1),(406,1),(413,1)}
       324:{1,4,6}:{(286,1),(291,1),(300,1),(358,1),(359,1)}
       325:{1,2,5}:{(287,1),(292,1),(352,1),(360,1)}
       326:{2,3,5}:{(287,1),(288,1),(293,1),(354,1),(360,1),(361,1),(404,1)}
       327:{1,3,4}:{(288,1),(291,1),(304,1),(361,1)}
       328:{1,3,6}:{(289,1),(290,1),(305,1),(362,1)}
       329:{1,4,7}:{(290,1),(291,1),(306,1),(362,1)}
       330:{1,3}:{(292,1),(293,1)}
       331:{1,5,7}:{(294,1),(295,1),(301,1),(363,1)}
       332:{2,4,6,7}:{(295,1),(296,1),(298,1),(302,1),(363,1),(364,1),(408,1)}
       333:{3,7}:{(296,1),(297,1)}
       334:{3,4,6}:{(297,1),(300,1),(304,1),(365,1),(366,1),(410,1)}
       335:{2,3,6,7}:{(298,1),(299,1),(305,1),(312,1),(357,1),(364,1),(367,1),(410,1),(414,1),(424,1)}
       336:{2,4,7}:{(299,1),(300,1),(313,1),(358,1),(365,1),(408,1)}
       337:{2,4,5}:{(300,1),(314,1),(359,1),(366,1),(371,1),(375,1),(404,1),(412,1)}
       338:{2,5,6}:{(301,1),(302,1),(363,1),(369,1),(371,1)}
       339:{3,6}:{(302,1),(303,1)}
       340:{3,4,7}:{(303,1),(304,1),(306,1),(370,1),(408,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(370,1),(371,1)}
       342:{1,2,7}:{(307,1),(308,1),(372,1)}
       343:{1,3,6}:{(307,1),(309,1),(315,1),(372,1),(373,1)}
       344:{2,3,7}:{(308,1),(309,1),(310,1),(372,1),(374,1)}
       345:{2,4,6}:{(309,1),(311,1),(316,1),(373,1),(374,1),(375,1),(414,1)}
       346:{1,3,4,7}:{(310,1),(311,1),(313,1),(365,1),(374,1),(376,1)}
       347:{1,3,5}:{(311,1),(314,1),(366,1),(375,1)}
       348:{1,4,6,7}:{(312,1),(313,1),(317,1),(367,1),(377,1),(378,1)}
       349:{1,4,5,7}:{(313,1),(314,1),(368,1),(376,1),(377,1),(378,1),(423,1)}
       350:{1,4}:{(315,1),(316,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(319,1),(325,1),(379,1),(380,1)}
       353:{2,7}:{(318,1),(319,1)}
       354:{2,3,6}:{(319,1),(321,1),(326,1),(380,1),(381,1),(382,1)}
       355:{1,3,7}:{(320,1),(321,1),(333,1),(381,1)}
       356:{1,3,4,6}:{(321,1),(324,1),(327,1),(334,1),(382,1),(383,1),(384,1),(418,1)}
       357:{1,3,6,7}:{(322,1),(323,1),(328,1),(335,1),(385,1),(418,1),(422,1)}
       358:{1,4,7}:{(323,1),(324,1),(336,1)}
       359:{1,4,5}:{(324,1),(337,1),(384,1),(388,1),(397,1)}
       360:{1,3,5}:{(325,1),(326,1),(330,1),(380,1),(387,1),(416,1)}
       361:{2,4}:{(326,1),(327,1),(387,1)}
       362:{1,4,6}:{(328,1),(329,1),(341,1),(388,1)}
       363:{2,5,7}:{(331,1),(332,1),(338,1),(389,1)}
       364:{3,6,7}:{(332,1),(333,1),(339,1),(389,1)}
       365:{3,4,7}:{(333,1),(334,1),(336,1),(391,1)}
       366:{3,5}:{(334,1),(337,1)}
       367:{2,4,6,7}:{(335,1),(336,1),(341,1),(348,1),(385,1),(390,1),(392,1),(393,1)}
       368:{2,4,5,7}:{(336,1),(337,1),(349,1),(386,1),(391,1),(392,1),(393,1),(398,1),(417,1),(420,1)}
       369:{3,5,6}:{(338,1),(339,1),(389,1),(394,1),(395,1)}
       370:{3,4,6}:{(339,1),(340,1),(341,1),(394,1),(395,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(395,1)}
       372:{1,3,7}:{(342,1),(343,1),(344,1),(396,1)}
       373:{1,4,6}:{(343,1),(345,1),(350,1),(396,1),(397,1),(422,1)}
       374:{2,4,7}:{(344,1),(345,1),(346,1),(396,1),(398,1)}
       375:{2,5}:{(345,1),(347,1),(397,1)}
       376:{1,3,5,7}:{(346,1),(347,1),(349,1),(391,1),(398,1),(399,1)}
       377:{1,5,7}:{(348,1),(351,1),(392,1),(400,1)}
       378:{1,4,6}:{(349,1),(393,1),(399,1),(400,1),(426,1)}
       379:{1,2,7}:{(352,1),(353,1),(401,1)}
       380:{1,3,6}:{(352,1),(354,1),(360,1),(401,1),(402,1)}
       381:{2,3,7}:{(353,1),(354,1),(355,1),(401,1),(403,1)}
       382:{2,4,6}:{(354,1),(356,1),(361,1),(402,1),(403,1),(404,1),(424,1)}
       383:{1,3,4,7}:{(355,1),(356,1),(358,1),(365,1),(403,1),(405,1)}
       384:{1,3,5}:{(356,1),(359,1),(366,1),(404,1)}
       385:{1,4,6,7}:{(357,1),(358,1),(362,1),(367,1),(406,1),(407,1)}
       386:{1,4,5,7}:{(358,1),(359,1),(368,1),(405,1),(406,1),(407,1),(413,1)}
       387:{1,4}:{(360,1),(361,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(369,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(367,1),(370,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(368,1),(410,1)}
       392:{2,5,7}:{(367,1),(371,1),(377,1),(406,1),(409,1),(411,1)}
       393:{2,4,6}:{(368,1),(378,1),(407,1),(410,1),(411,1),(414,1),(424,1),(425,1)}
       394:{4,6}:{(369,1),(408,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(412,1)}
       396:{1,4,7}:{(372,1),(373,1),(374,1),(413,1)}
       397:{1,5}:{(373,1),(375,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(378,1),(410,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(411,1)}
       401:{1,3,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{1,4,6}:{(380,1),(382,1),(387,1),(415,1),(416,1),(426,1)}
       403:{2,4,7}:{(381,1),(382,1),(383,1),(415,1),(417,1)}
       404:{2,5}:{(382,1),(384,1),(416,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(386,1),(391,1),(417,1),(418,1)}
       406:{1,5,7}:{(385,1),(388,1),(392,1),(419,1)}
       407:{1,4,6}:{(386,1),(393,1),(418,1),(419,1),(422,1)}
       408:{4,7}:{(389,1),(394,1)}
       409:{3,5,7}:{(390,1),(392,1),(395,1),(420,1),(421,1)}
       410:{3,6}:{(391,1),(393,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(421,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,4,7}:{(401,1),(402,1),(403,1),(423,1)}
       416:{1,5}:{(402,1),(404,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(407,1),(410,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{4,5,7}:{(408,1),(409,1),(412,1),(425,1)}
       421:{3,5,6}:{(409,1),(410,1),(411,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 408 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 409 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 410 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 411 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(33,1),(39,1),(41,1),(78,1),(79,1),(162,1),(175,1),(262,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(115,1),(227,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(57,1),(118,1),(218,1)}
         3:{1,3,4}:{(1,1),(9,1),(262,1),(278,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(79,1),(83,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(270,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(91,1),(104,1),(162,1),(166,1),(265,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(92,1),(167,1),(271,1)}
         8:{1,3,4,5}:{(3,1),(17,1),(18,1),(21,1),(50,1),(126,1),(128,1),(131,1),(227,1),(234,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(118,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(211,1),(248,1),(253,1),(313,1),(343,1),(384,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(321,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(136,1),(219,1),(344,1)}
        16:{2,3,4}:{(9,1),(30,1),(31,1),(83,1),(164,1),(278,1)}
        17:{2,4,5}:{(8,1),(9,1),(30,1),(33,1),(34,1),(39,1),(79,1),(164,1),(266,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(36,1),(80,1),(168,1),(170,1),(270,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(79,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(166,1),(173,1),(196,1),(199,1),(200,1),(201,1),(270,1),(280,1),(300,1),(368,1),(370,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(167,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(262,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(188,1),(265,1),(272,1)}
        30:{2,3,5}:{(16,1),(17,1),(50,1),(51,1),(227,1)}
        31:{1,3,4}:{(16,1),(19,1),(50,1),(52,1),(62,1),(115,1),(207,1)}
        32:{2,3,4,6}:{(16,1),(20,1),(51,1),(53,1),(54,1),(55,1),(74,1),(121,1),(123,1),(130,1),(154,1),(215,1),(225,1),(317,1),(320,1),(327,1),(329,1),(378,1)}
        33:{1,4,5}:{(17,1),(19,1),(50,1),(57,1),(64,1),(207,1),(304,1)}
        34:{2,4,6}:{(17,1),(18,1),(51,1),(57,1),(58,1),(59,1),(118,1)}
        35:{1,3,5,6}:{(18,1),(21,1),(58,1),(60,1),(61,1),(69,1),(137,1),(234,1),(335,1)}
        36:{1,3,4,7}:{(18,1),(59,1),(61,1),(120,1),(221,1),(223,1),(321,1)}
        37:{1,2,4}:{(19,1),(23,1),(52,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(384,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(118,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(225,1),(395,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(219,1),(249,1),(254,1),(321,1),(392,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(313,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(33,1),(79,1),(80,1)}
        51:{2,3,6}:{(30,1),(34,1),(80,1),(82,1),(270,1)}
        52:{2,4}:{(31,1),(79,1),(83,1)}
        53:{1,3,4,6}:{(31,1),(32,1),(38,1),(80,1),(84,1),(85,1),(86,1),(97,1),(161,1),(168,1),(179,1),(192,1),(203,1),(257,1),(262,1),(270,1),(278,1),(297,1),(353,1),(360,1),(366,1),(367,1),(401,1)}
        54:{2,3,5}:{(32,1),(39,1),(85,1),(87,1),(102,1),(196,1),(266,1),(355,1),(368,1),(398,1)}
        55:{2,3,4,7}:{(32,1),(40,1),(82,1),(86,1),(88,1),(111,1),(171,1),(174,1),(204,1),(267,1),(279,1),(358,1),(361,1),(402,1)}
        56:{1,2,4,5}:{(33,1),(37,1),(79,1),(89,1),(90,1),(98,1),(164,1),(175,1),(192,1),(266,1),(287,1)}
        57:{1,4,6}:{(33,1),(34,1),(80,1),(91,1),(92,1)}
        58:{2,5,6}:{(34,1),(35,1),(39,1),(91,1),(94,1),(104,1),(266,1),(357,1)}
        59:{2,4,7}:{(34,1),(36,1),(82,1),(92,1),(94,1),(167,1)}
        60:{1,4,5,6}:{(35,1),(41,1),(93,1),(95,1),(105,1),(168,1),(285,1),(287,1),(291,1),(371,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(94,1),(95,1),(96,1),(189,1)}
        62:{1,3}:{(37,1),(83,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(84,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(406,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(368,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(166,1),(195,1),(196,1),(291,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(167,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(270,1),(278,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(411,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(272,1),(280,1),(300,1),(362,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(353,1)}
        78:{1,2,4}:{(52,1),(114,1),(115,1),(207,1)}
        79:{2,5}:{(50,1),(52,1),(118,1)}
        80:{1,3,6}:{(50,1),(51,1),(57,1),(118,1),(120,1)}
        81:{2,3,5,6}:{(51,1),(54,1),(58,1),(119,1),(121,1),(122,1),(130,1),(137,1),(233,1),(239,1),(320,1)}
        82:{2,3,7}:{(51,1),(59,1),(120,1),(321,1)}
        83:{2,3}:{(52,1),(62,1),(115,1)}
        84:{2,4,6}:{(52,1),(53,1),(118,1),(123,1),(124,1),(125,1),(225,1),(229,1),(390,1),(393,1)}
        85:{1,3,5}:{(53,1),(54,1),(64,1),(124,1),(126,1),(227,1),(248,1),(304,1),(341,1),(384,1),(394,1),(414,1)}
        86:{1,3,4,7}:{(53,1),(55,1),(65,1),(120,1),(125,1),(127,1),(142,1),(212,1),(221,1),(245,1),(255,1),(305,1),(312,1),(321,1),(328,1),(391,1),(418,1)}
        87:{2,4,5}:{(54,1),(121,1),(126,1),(128,1),(225,1)}
        88:{2,3,5,7}:{(54,1),(55,1),(67,1),(127,1),(129,1),(130,1),(148,1),(249,1),(316,1),(386,1),(415,1)}
        89:{1,3,5}:{(56,1),(62,1),(117,1),(131,1),(132,1),(227,1)}
        90:{1,2,4,6}:{(56,1),(57,1),(118,1),(132,1),(133,1),(134,1),(215,1),(218,1),(236,1)}
        91:{1,5,6}:{(57,1),(58,1),(64,1),(136,1),(147,1),(304,1),(377,1)}
        92:{1,4,7}:{(57,1),(59,1),(120,1),(136,1)}
        93:{2,4,5,6}:{(58,1),(60,1),(66,1),(121,1),(135,1),(137,1),(138,1),(149,1),(218,1),(233,1),(239,1),(315,1),(332,1),(333,1),(387,1),(395,1)}
        94:{2,5,7}:{(58,1),(59,1),(61,1),(136,1),(139,1)}
        95:{1,4,5,7}:{(60,1),(61,1),(138,1),(140,1),(221,1),(325,1),(337,1)}
        96:{1,3,6,7}:{(61,1),(69,1),(139,1),(140,1),(242,1),(335,1)}
        97:{1,3,6}:{(62,1),(63,1),(123,1),(141,1),(142,1),(420,1)}
        98:{1,2,5}:{(63,1),(64,1),(124,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(125,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(218,1),(323,1),(390,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(219,1),(249,1),(337,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(321,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(329,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(384,1)}
       114:{1,2,5}:{(78,1),(79,1),(159,1),(160,1)}
       115:{1,3}:{(78,1),(83,1)}
       116:{1,2,4,6}:{(78,1),(84,1),(160,1),(161,1),(162,1),(163,1),(203,1),(257,1),(262,1),(265,1),(302,1),(353,1),(374,1)}
       117:{2,3,5}:{(79,1),(83,1),(89,1),(159,1),(164,1),(165,1),(266,1)}
       118:{2,6}:{(79,1),(80,1),(167,1)}
       119:{1,3,5,6}:{(80,1),(81,1),(85,1),(91,1),(166,1),(168,1),(169,1),(179,1),(270,1),(285,1),(291,1),(360,1),(370,1)}
       120:{1,3,7}:{(80,1),(82,1),(92,1),(167,1)}
       121:{2,4,6}:{(81,1),(87,1),(168,1),(170,1),(171,1)}
       122:{2,3,5,7}:{(81,1),(82,1),(94,1),(169,1),(171,1),(172,1),(189,1),(277,1),(292,1),(361,1)}
       123:{2,3,6}:{(83,1),(84,1),(97,1),(161,1),(173,1),(174,1),(270,1),(412,1)}
       124:{2,5}:{(84,1),(85,1)}
       125:{2,4,7}:{(84,1),(86,1),(167,1),(174,1),(176,1),(410,1)}
       126:{1,4,5}:{(85,1),(87,1),(168,1),(175,1),(192,1),(262,1),(413,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(88,1),(101,1),(176,1),(178,1),(179,1),(282,1),(299,1),(346,1),(423,1)}
       128:{3,4,5}:{(87,1),(102,1),(170,1),(278,1),(355,1),(413,1)}
       129:{2,4,5,7}:{(87,1),(88,1),(171,1),(178,1),(180,1),(181,1),(277,1),(279,1),(368,1)}
       130:{2,3,6}:{(88,1),(104,1),(179,1),(181,1),(199,1),(300,1),(357,1),(407,1),(424,1)}
       131:{1,3,4}:{(89,1),(164,1),(192,1),(278,1)}
       132:{1,3,6}:{(89,1),(90,1),(165,1),(184,1),(270,1)}
       133:{1,2,5,6}:{(90,1),(91,1),(98,1),(166,1),(183,1),(185,1),(195,1),(266,1),(357,1),(404,1)}
       134:{1,2,4,7}:{(90,1),(92,1),(167,1),(184,1),(185,1),(267,1),(271,1),(289,1)}
       135:{1,4,5,6}:{(91,1),(93,1),(100,1),(168,1),(186,1),(187,1),(198,1),(285,1),(345,1),(400,1)}
       136:{1,5,7}:{(91,1),(92,1),(94,1),(188,1)}
       137:{3,5,6}:{(93,1),(102,1),(170,1),(189,1),(199,1),(270,1),(355,1),(407,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(95,1),(171,1),(187,1),(189,1),(190,1),(271,1),(277,1),(292,1),(363,1),(365,1),(411,1)}
       139:{2,6,7}:{(94,1),(96,1),(104,1),(188,1),(357,1)}
       140:{1,4,6,7}:{(95,1),(96,1),(105,1),(190,1),(191,1),(371,1),(373,1)}
       141:{1,3,5}:{(97,1),(98,1),(173,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(174,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(175,1),(192,1),(194,1),(196,1),(284,1),(296,1),(369,1),(406,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(176,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(270,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(271,1),(364,1),(410,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(272,1),(300,1),(373,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(362,1),(367,1),(411,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(368,1)}
       159:{1,3,5}:{(114,1),(115,1),(117,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(118,1),(208,1),(210,1)}
       161:{1,3,6}:{(115,1),(116,1),(123,1),(211,1),(212,1),(397,1)}
       162:{1,2,5}:{(116,1),(124,1),(211,1),(248,1),(304,1),(384,1)}
       163:{1,2,4,7}:{(116,1),(125,1),(210,1),(212,1),(214,1),(255,1),(305,1),(312,1),(344,1)}
       164:{2,4}:{(117,1),(131,1),(207,1)}
       165:{2,3,6}:{(117,1),(118,1),(132,1),(208,1),(215,1),(217,1)}
       166:{2,5,6}:{(118,1),(119,1),(124,1),(218,1),(219,1),(229,1),(390,1)}
       167:{2,7}:{(118,1),(120,1)}
       168:{1,4,6}:{(119,1),(121,1),(126,1),(218,1),(221,1),(395,1)}
       169:{1,3,5,7}:{(119,1),(120,1),(122,1),(136,1),(219,1),(221,1),(222,1),(321,1),(325,1),(337,1),(391,1),(392,1)}
       170:{3,4,6}:{(121,1),(128,1),(137,1),(223,1),(395,1)}
       171:{2,4,7}:{(121,1),(122,1),(221,1),(223,1)}
       172:{2,3,6,7}:{(122,1),(130,1),(139,1),(222,1),(224,1),(242,1),(338,1)}
       173:{2,3,5}:{(123,1),(124,1),(141,1),(211,1),(225,1),(227,1)}
       174:{2,3,7}:{(123,1),(125,1),(142,1),(212,1),(321,1)}
       175:{2,4,5}:{(124,1),(126,1),(218,1),(225,1),(227,1)}
       176:{2,5,7}:{(124,1),(125,1),(127,1),(229,1)}
       177:{1,3,4,5}:{(126,1),(128,1),(145,1),(220,1),(227,1),(230,1),(244,1),(311,1),(330,1),(375,1)}
       178:{1,4,5,7}:{(126,1),(127,1),(129,1),(221,1),(228,1),(231,1),(245,1),(312,1),(325,1),(341,1),(384,1)}
       179:{1,3,6}:{(127,1),(130,1),(147,1),(229,1),(231,1),(331,1),(343,1),(377,1),(426,1)}
       180:{3,4,5,7}:{(128,1),(129,1),(148,1),(223,1),(232,1),(256,1),(326,1),(328,1),(386,1),(394,1),(422,1)}
       181:{2,4,6}:{(129,1),(130,1),(231,1),(232,1),(233,1)}
       182:{1,3,4,6}:{(131,1),(132,1),(215,1),(234,1),(235,1),(236,1),(317,1),(335,1)}
       183:{1,3,5,6}:{(132,1),(133,1),(141,1),(216,1),(234,1),(236,1),(237,1),(246,1),(335,1),(341,1),(381,1),(396,1),(414,1),(426,1)}
       184:{1,3,7}:{(132,1),(134,1),(217,1),(321,1)}
       185:{1,2,5,7}:{(133,1),(134,1),(136,1),(219,1),(237,1),(238,1),(316,1),(419,1)}
       186:{1,3,5,6}:{(135,1),(137,1),(145,1),(220,1),(239,1),(240,1),(250,1),(375,1),(416,1)}
       187:{1,4,5,7}:{(135,1),(136,1),(138,1),(221,1),(240,1),(241,1),(325,1)}
       188:{1,6,7}:{(136,1),(139,1),(147,1),(377,1)}
       189:{3,5,7}:{(137,1),(138,1),(223,1),(242,1),(321,1)}
       190:{2,4,6,7}:{(138,1),(139,1),(140,1),(149,1),(241,1),(242,1),(243,1),(338,1),(339,1),(387,1)}
       191:{1,5,6,7}:{(140,1),(150,1),(243,1),(325,1),(396,1)}
       192:{1,4}:{(141,1),(225,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(226,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(227,1),(244,1),(247,1),(420,1)}
       195:{1,2,6}:{(144,1),(147,1),(229,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(390,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(321,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(394,1)}
       207:{1,4}:{(159,1),(164,1)}
       208:{1,3,6}:{(159,1),(160,1),(165,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(162,1),(166,1),(258,1),(260,1),(261,1),(265,1),(291,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(167,1),(259,1)}
       211:{1,3,5}:{(161,1),(162,1),(173,1),(262,1)}
       212:{1,3,7}:{(161,1),(163,1),(174,1)}
       213:{1,2,4,5}:{(162,1),(175,1),(260,1),(262,1),(264,1),(284,1),(345,1),(352,1),(369,1),(374,1),(398,1)}
       214:{1,2,5,7}:{(162,1),(163,1),(176,1),(263,1),(265,1),(299,1),(346,1)}
       215:{2,4,6}:{(164,1),(165,1),(182,1),(257,1),(266,1),(267,1),(357,1)}
       216:{2,3,5,6}:{(165,1),(166,1),(173,1),(183,1),(258,1),(266,1),(268,1),(269,1),(270,1),(280,1),(350,1),(355,1),(357,1),(368,1),(370,1),(398,1),(407,1),(408,1),(424,1)}
       217:{2,3,7}:{(165,1),(167,1),(184,1),(259,1),(267,1)}
       218:{2,4,6}:{(166,1),(168,1),(175,1),(270,1),(271,1)}
       219:{2,5,7}:{(166,1),(167,1),(169,1),(271,1),(272,1),(410,1)}
       220:{1,3,4,6}:{(168,1),(170,1),(177,1),(186,1),(270,1),(273,1),(274,1),(360,1)}
       221:{1,4,7}:{(168,1),(169,1),(171,1),(271,1),(411,1)}
       222:{1,3,6,7}:{(169,1),(172,1),(179,1),(188,1),(272,1),(275,1),(362,1),(373,1)}
       223:{3,4,7}:{(170,1),(171,1),(189,1),(411,1)}
       224:{2,4,6,7}:{(171,1),(172,1),(181,1),(275,1),(276,1),(277,1)}
       225:{2,4}:{(173,1),(192,1),(262,1),(278,1)}
       226:{2,3,5,7}:{(173,1),(174,1),(176,1),(193,1),(263,1),(279,1),(280,1),(282,1),(368,1)}
       227:{3,5}:{(175,1),(270,1),(278,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(178,1),(271,1),(279,1),(282,1),(283,1),(363,1),(368,1),(411,1),(413,1)}
       229:{2,6}:{(176,1),(179,1)}
       230:{2,4,5}:{(177,1),(196,1),(273,1),(281,1),(284,1),(296,1),(352,1),(369,1),(398,1)}
       231:{1,4,6}:{(178,1),(179,1),(181,1),(283,1),(285,1)}
       232:{3,4,6}:{(180,1),(181,1),(199,1),(286,1),(301,1),(407,1),(425,1)}
       233:{2,5,6}:{(181,1),(277,1),(285,1),(286,1),(368,1)}
       234:{1,3,5}:{(182,1),(266,1),(287,1),(355,1)}
       235:{1,3,4,7}:{(182,1),(184,1),(267,1),(288,1),(289,1),(358,1)}
       236:{1,4,6}:{(183,1),(192,1),(268,1),(287,1),(289,1)}
       237:{1,3,5,7}:{(183,1),(184,1),(185,1),(269,1),(289,1),(290,1),(372,1),(405,1),(423,1)}
       238:{1,2,6,7}:{(185,1),(188,1),(195,1),(272,1),(290,1),(357,1)}
       239:{2,5,6}:{(186,1),(196,1),(273,1),(291,1),(292,1),(300,1),(398,1),(424,1)}
       240:{1,3,5,7}:{(186,1),(187,1),(189,1),(274,1),(292,1),(293,1)}
       241:{1,4,6,7}:{(187,1),(188,1),(190,1),(198,1),(293,1),(294,1),(400,1)}
       242:{3,6,7}:{(189,1),(190,1),(199,1),(407,1)}
       243:{2,5,6,7}:{(190,1),(191,1),(200,1),(277,1),(294,1),(295,1),(363,1),(408,1)}
       244:{1,3,4}:{(192,1),(194,1),(278,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(279,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(280,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(369,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(410,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(411,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(215,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(211,1),(216,1),(304,1),(306,1),(307,1),(308,1),(313,1),(375,1),(377,1),(384,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(217,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(213,1),(218,1),(306,1),(308,1),(309,1),(323,1),(378,1),(390,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(219,1),(307,1),(309,1),(310,1),(337,1),(415,1)}
       262:{1,4}:{(211,1),(225,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(214,1),(226,1),(312,1),(313,1),(384,1)}
       264:{1,3,5}:{(213,1),(227,1),(308,1),(311,1),(314,1),(397,1)}
       265:{1,2,6}:{(214,1),(229,1),(313,1),(343,1),(377,1)}
       266:{2,5}:{(215,1),(234,1),(304,1)}
       267:{2,4,7}:{(215,1),(217,1),(235,1),(305,1),(316,1)}
       268:{2,4,6}:{(216,1),(225,1),(236,1),(306,1),(315,1),(317,1),(318,1),(395,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(219,1),(237,1),(307,1),(316,1),(318,1),(319,1),(321,1),(382,1),(386,1),(389,1),(392,1),(415,1)}
       270:{3,6}:{(218,1),(227,1),(321,1)}
       271:{2,4,7}:{(218,1),(219,1),(221,1),(321,1)}
       272:{2,6,7}:{(219,1),(222,1),(229,1)}
       273:{2,4,6}:{(220,1),(230,1),(239,1),(320,1),(323,1),(324,1),(390,1)}
       274:{1,3,4,7}:{(220,1),(221,1),(223,1),(240,1),(321,1),(324,1),(391,1)}
       275:{1,4,6,7}:{(221,1),(222,1),(224,1),(231,1),(322,1),(325,1)}
       276:{3,4,6,7}:{(223,1),(224,1),(232,1),(242,1),(326,1),(339,1)}
       277:{2,5,7}:{(224,1),(233,1),(325,1),(326,1)}
       278:{3,4}:{(225,1),(227,1)}
       279:{2,4,7}:{(225,1),(226,1),(245,1),(312,1),(328,1),(329,1)}
       280:{2,3,6}:{(226,1),(229,1),(246,1),(313,1),(329,1),(331,1)}
       281:{2,3,5}:{(227,1),(230,1),(320,1),(327,1),(330,1)}
       282:{3,5,7}:{(227,1),(228,1),(321,1),(328,1),(331,1),(394,1)}
       283:{2,4,6}:{(228,1),(229,1),(231,1),(331,1),(332,1),(395,1)}
       284:{1,4,5}:{(230,1),(248,1),(323,1),(330,1),(340,1),(383,1),(414,1)}
       285:{1,5,6}:{(231,1),(233,1),(325,1),(332,1),(341,1),(384,1)}
       286:{3,5,6}:{(232,1),(233,1),(326,1),(333,1),(394,1)}
       287:{1,4,5}:{(234,1),(236,1),(315,1),(341,1),(414,1)}
       288:{1,3,5,7}:{(234,1),(235,1),(316,1),(334,1),(335,1),(386,1)}
       289:{1,4,7}:{(236,1),(237,1),(318,1)}
       290:{1,3,6,7}:{(237,1),(238,1),(246,1),(319,1),(335,1),(336,1),(426,1)}
       291:{1,5,6}:{(239,1),(248,1),(323,1),(337,1),(343,1),(414,1),(426,1)}
       292:{2,5,7}:{(239,1),(240,1),(324,1),(337,1),(338,1)}
       293:{1,3,6,7}:{(240,1),(241,1),(242,1),(250,1),(338,1),(416,1)}
       294:{1,5,6,7}:{(241,1),(243,1),(251,1),(325,1),(417,1)}
       295:{3,5,6,7}:{(242,1),(243,1),(252,1),(326,1),(339,1),(392,1),(421,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(329,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(390,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(266,1)}
       305:{1,4,7}:{(257,1),(259,1),(267,1),(346,1)}
       306:{1,4,6}:{(258,1),(262,1),(268,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(269,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(264,1),(270,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(271,1),(348,1),(351,1),(364,1),(402,1),(410,1)}
       310:{1,2,6,7}:{(261,1),(265,1),(272,1),(349,1),(373,1),(424,1)}
       311:{1,3,4}:{(262,1),(264,1),(278,1),(352,1)}
       312:{1,4,7}:{(262,1),(263,1),(279,1),(353,1)}
       313:{1,3,6}:{(263,1),(265,1),(280,1),(353,1)}
       314:{2,3,5}:{(264,1),(350,1),(352,1),(354,1),(369,1),(398,1),(412,1)}
       315:{2,4,5}:{(266,1),(268,1),(287,1),(345,1),(355,1),(368,1),(398,1),(413,1)}
       316:{2,5,7}:{(266,1),(267,1),(288,1),(346,1),(357,1)}
       317:{3,4,6}:{(268,1),(270,1),(278,1),(355,1),(358,1),(407,1)}
       318:{2,4,7}:{(268,1),(269,1),(289,1),(348,1),(358,1),(411,1)}
       319:{2,3,6,7}:{(269,1),(272,1),(280,1),(290,1),(349,1),(357,1),(359,1),(362,1),(407,1),(424,1)}
       320:{2,3,6}:{(270,1),(273,1),(281,1),(360,1),(361,1)}
       321:{3,7}:{(270,1),(271,1)}
       322:{2,4,6,7}:{(271,1),(272,1),(275,1),(283,1),(362,1),(363,1),(411,1)}
       323:{1,4,6}:{(273,1),(284,1),(291,1),(360,1),(364,1)}
       324:{2,4,7}:{(273,1),(274,1),(292,1),(361,1),(364,1),(410,1)}
       325:{1,5,7}:{(275,1),(277,1),(285,1),(363,1)}
       326:{3,5,7}:{(276,1),(277,1),(286,1),(365,1)}
       327:{2,3,4}:{(278,1),(281,1),(296,1),(352,1),(366,1),(412,1)}
       328:{3,4,7}:{(278,1),(279,1),(282,1),(367,1),(411,1)}
       329:{2,4,6}:{(279,1),(280,1),(297,1),(353,1),(367,1),(368,1)}
       330:{1,3,5}:{(281,1),(284,1),(360,1),(366,1),(369,1)}
       331:{3,6}:{(282,1),(283,1)}
       332:{2,5,6}:{(283,1),(285,1),(363,1),(368,1),(370,1)}
       333:{4,5,6}:{(286,1),(301,1),(365,1),(413,1),(425,1)}
       334:{1,4,5,7}:{(287,1),(288,1),(289,1),(356,1),(371,1),(372,1),(423,1)}
       335:{1,3,6}:{(288,1),(357,1),(371,1),(407,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(297,1),(359,1),(371,1),(372,1)}
       337:{1,5,7}:{(291,1),(292,1),(364,1),(373,1)}
       338:{2,6,7}:{(292,1),(293,1),(300,1),(373,1),(424,1)}
       339:{4,6,7}:{(295,1),(301,1),(365,1),(411,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(368,1)}
       342:{1,2,5}:{(298,1),(302,1),(369,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(410,1)}
       345:{1,4,5}:{(304,1),(306,1),(315,1),(375,1),(384,1)}
       346:{1,5,7}:{(304,1),(305,1),(316,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(311,1),(317,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(318,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(313,1),(319,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(314,1),(378,1),(381,1),(382,1),(390,1)}
       351:{1,3,7}:{(308,1),(309,1),(321,1),(382,1)}
       352:{2,4}:{(311,1),(314,1),(383,1)}
       353:{1,4,6}:{(312,1),(313,1),(329,1),(384,1)}
       354:{1,3,5}:{(314,1),(381,1),(383,1),(385,1),(414,1),(420,1)}
       355:{3,5}:{(315,1),(317,1)}
       356:{2,4,5,7}:{(315,1),(316,1),(318,1),(334,1),(376,1),(386,1),(387,1),(389,1),(415,1),(422,1)}
       357:{2,6}:{(316,1),(335,1),(377,1)}
       358:{3,4,7}:{(317,1),(318,1),(321,1),(386,1)}
       359:{2,4,6,7}:{(318,1),(319,1),(329,1),(336,1),(380,1),(387,1),(388,1),(389,1)}
       360:{1,3,6}:{(320,1),(323,1),(330,1),(390,1),(391,1)}
       361:{2,3,7}:{(320,1),(321,1),(324,1),(391,1)}
       362:{3,6,7}:{(321,1),(322,1),(331,1),(392,1)}
       363:{2,5,7}:{(322,1),(325,1),(332,1),(392,1)}
       364:{1,4,7}:{(323,1),(324,1),(337,1),(391,1)}
       365:{4,5,7}:{(326,1),(333,1),(339,1)}
       366:{1,3,4}:{(327,1),(330,1),(340,1),(383,1),(393,1),(397,1),(420,1)}
       367:{3,4,6}:{(328,1),(329,1),(331,1),(394,1),(395,1)}
       368:{2,5}:{(329,1),(341,1),(384,1),(394,1)}
       369:{2,5}:{(330,1),(390,1),(393,1)}
       370:{3,5,6}:{(331,1),(332,1),(392,1),(394,1),(395,1)}
       371:{1,4,6}:{(334,1),(335,1),(387,1),(396,1),(426,1)}
       372:{1,5,7}:{(336,1),(341,1),(389,1),(396,1)}
       373:{1,6,7}:{(337,1),(338,1),(343,1),(426,1)}
       374:{1,2,4}:{(340,1),(342,1),(393,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(355,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(356,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(357,1)}
       378:{2,4,6}:{(347,1),(350,1),(352,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(358,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(353,1),(359,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(354,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(410,1)}
       383:{1,4}:{(352,1),(354,1)}
       384:{1,5}:{(353,1),(368,1)}
       385:{1,2,5}:{(354,1),(369,1),(404,1),(406,1)}
       386:{3,5,7}:{(355,1),(356,1),(358,1),(407,1)}
       387:{2,4,6}:{(356,1),(357,1),(371,1),(400,1),(407,1),(408,1),(424,1),(425,1)}
       388:{3,4,6,7}:{(358,1),(359,1),(362,1),(367,1),(407,1),(409,1),(411,1),(425,1)}
       389:{2,5,7}:{(359,1),(368,1),(372,1),(403,1),(408,1),(409,1)}
       390:{2,6}:{(360,1),(369,1),(410,1)}
       391:{1,3,7}:{(360,1),(361,1),(364,1),(410,1)}
       392:{3,5,7}:{(362,1),(363,1),(370,1),(411,1)}
       393:{2,4}:{(366,1),(369,1),(412,1)}
       394:{3,5}:{(367,1),(368,1),(413,1)}
       395:{4,6}:{(370,1),(411,1),(413,1)}
       396:{1,5,6}:{(371,1),(372,1),(408,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(386,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(387,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(383,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(384,1),(389,1),(417,1)}
       404:{1,2,6}:{(381,1),(385,1),(390,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{1,2,4}:{(383,1),(385,1),(393,1),(420,1)}
       407:{3,6}:{(386,1),(387,1)}
       408:{2,5,6}:{(387,1),(389,1),(396,1),(417,1),(421,1)}
       409:{3,5,7}:{(388,1),(389,1),(394,1),(421,1),(422,1)}
       410:{2,7}:{(390,1),(391,1)}
       411:{4,7}:{(392,1),(395,1)}
       412:{2,3}:{(393,1),(397,1),(420,1)}
       413:{4,5}:{(394,1),(395,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(407,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(408,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(410,1)}
       420:{1,3}:{(406,1),(412,1)}
       421:{3,5,6}:{(407,1),(408,1),(409,1),(425,1)}
       422:{4,5,7}:{(409,1),(411,1),(413,1),(425,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 412 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 413 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 414 :   0:{1,4,5,6}:{(1,1),(3,1),(4,1),(55,1),(62,1),(141,1),(201,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(6,1),(8,1),(9,1),(13,1),(33,1),(37,1),(84,1),(93,1),(158,1),(171,1),(249,1),(263,1),(346,1)}
         2:{1,5,6,7}:{(7,1),(11,1),(165,1),(274,1)}
         3:{1,4,5,7}:{(0,1),(8,1),(11,1),(12,1),(81,1),(92,1),(165,1)}
         4:{1,3,5,6}:{(0,1),(9,1),(10,1),(12,1),(13,1),(179,1),(272,1)}
         5:{1,3,4,5}:{(10,1),(14,1),(34,1),(48,1),(87,1),(107,1),(161,1),(179,1)}
         6:{1,4,5,6}:{(1,1),(16,1),(17,1),(27,1),(62,1),(196,1),(201,1),(290,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(18,1),(20,1),(125,1),(209,1),(313,1)}
         8:{2,4,5,7}:{(1,1),(3,1),(16,1),(20,1),(21,1),(26,1),(54,1),(59,1),(61,1),(125,1),(127,1),(209,1),(309,1)}
         9:{3,5,6}:{(1,1),(19,1),(21,1),(128,1),(212,1),(311,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(19,1),(23,1),(24,1),(62,1),(68,1),(128,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(20,1),(25,1),(114,1),(226,1)}
        12:{1,3,5,7}:{(3,1),(4,1),(21,1),(23,1),(25,1),(26,1)}
        13:{2,5,6}:{(4,1),(24,1),(26,1),(27,1),(222,1),(320,1)}
        14:{2,4,5}:{(5,1),(24,1),(28,1),(29,1),(74,1),(143,1),(222,1)}
        15:{1,5,6,7}:{(7,1),(31,1),(165,1),(336,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(46,1),(92,1),(165,1)}
        17:{1,3,5,6}:{(6,1),(9,1),(30,1),(32,1),(33,1),(240,1),(334,1)}
        18:{3,5,6,7}:{(7,1),(35,1),(38,1),(90,1),(258,1),(357,1)}
        19:{3,4,6}:{(9,1),(34,1),(36,1),(37,1),(346,1)}
        20:{2,4,6,7}:{(7,1),(8,1),(11,1),(31,1),(35,1),(38,1),(45,1),(80,1),(263,1)}
        21:{3,5,7}:{(8,1),(9,1),(36,1),(38,1),(167,1)}
        22:{2,3,5,6}:{(9,1),(13,1),(33,1),(37,1),(39,1),(40,1),(42,1),(77,1),(83,1),(155,1),(158,1)}
        23:{1,3,4,7}:{(10,1),(12,1),(36,1),(43,1),(92,1),(98,1),(167,1)}
        24:{2,4,6}:{(10,1),(13,1),(14,1),(42,1),(43,1),(44,1),(99,1)}
        25:{1,3,6,7}:{(11,1),(12,1),(38,1),(45,1),(272,1)}
        26:{2,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1)}
        27:{1,5,6}:{(13,1),(44,1),(46,1),(269,1),(362,1)}
        28:{2,3,5}:{(14,1),(41,1),(42,1),(48,1),(161,1)}
        29:{1,4,5}:{(14,1),(44,1),(48,1),(183,1),(269,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(50,1),(51,1),(52,1),(62,1),(111,1),(128,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(20,1),(53,1),(71,1),(290,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(21,1),(51,1),(53,1),(54,1)}
        33:{2,5,6}:{(17,1),(52,1),(54,1),(55,1),(286,1),(373,1)}
        34:{3,4,5}:{(19,1),(57,1),(212,1),(377,1),(387,1)}
        35:{4,6,7}:{(18,1),(59,1),(309,1),(395,1)}
        36:{3,4,7}:{(19,1),(21,1),(61,1),(309,1)}
        37:{2,4,6}:{(19,1),(22,1),(57,1),(61,1),(62,1)}
        38:{3,6,7}:{(20,1),(21,1),(311,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(26,1),(54,1),(61,1),(63,1),(64,1),(67,1),(110,1),(125,1)}
        40:{1,3,5,6}:{(22,1),(27,1),(55,1),(62,1),(64,1),(65,1),(68,1),(111,1),(118,1),(128,1),(198,1),(201,1),(299,1)}
        41:{2,3,4}:{(28,1),(66,1),(143,1),(204,1),(216,1)}
        42:{2,3,6}:{(24,1),(28,1),(67,1),(68,1),(128,1)}
        43:{2,4,7}:{(23,1),(24,1),(26,1),(67,1),(69,1),(135,1)}
        44:{1,4,6}:{(24,1),(27,1),(29,1),(68,1),(69,1)}
        45:{2,6,7}:{(25,1),(26,1),(71,1),(320,1)}
        46:{1,5,7}:{(26,1),(27,1),(69,1),(71,1)}
        47:{1,2,5,6}:{(27,1),(65,1),(70,1),(72,1),(73,1),(189,1),(197,1),(222,1),(293,1),(319,1),(320,1),(391,1)}
        48:{1,3,5}:{(28,1),(29,1),(66,1),(68,1),(74,1)}
        49:{1,2,4,5}:{(29,1),(70,1),(74,1),(75,1),(122,1),(132,1),(141,1),(143,1),(197,1),(222,1),(228,1),(295,1),(315,1),(380,1)}
        50:{1,3,4,5}:{(30,1),(34,1),(76,1),(87,1),(146,1),(161,1),(234,1),(240,1)}
        51:{1,3,4,7}:{(30,1),(32,1),(36,1),(78,1),(92,1),(148,1),(167,1)}
        52:{2,4,6}:{(30,1),(33,1),(76,1),(77,1),(78,1),(79,1),(149,1)}
        53:{1,3,6,7}:{(31,1),(32,1),(38,1),(80,1),(334,1)}
        54:{2,5,7}:{(32,1),(33,1),(78,1),(80,1),(81,1)}
        55:{1,5,6}:{(33,1),(79,1),(81,1),(331,1),(404,1)}
        56:{3,4,5,7}:{(34,1),(36,1),(85,1),(86,1),(90,1),(260,1),(356,1),(407,1),(441,1)}
        57:{2,4,5}:{(34,1),(37,1),(83,1),(87,1),(339,1)}
        58:{2,3,4,6}:{(37,1),(41,1),(42,1),(77,1),(83,1),(88,1),(89,1),(145,1),(155,1),(168,1),(177,1),(238,1),(253,1),(339,1),(409,1)}
        59:{4,5,7}:{(35,1),(84,1),(90,1)}
        60:{3,4,6,7}:{(35,1),(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{2,4,7}:{(36,1),(37,1),(39,1),(92,1)}
        62:{1,4,6}:{(37,1),(40,1),(87,1),(92,1),(93,1),(346,1)}
        63:{2,3,6,7}:{(38,1),(39,1),(45,1),(80,1),(91,1),(94,1),(155,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(46,1),(81,1),(92,1),(94,1),(95,1),(98,1),(148,1),(165,1),(167,1),(258,1)}
        65:{2,5,6}:{(40,1),(93,1),(95,1),(99,1),(149,1),(157,1),(246,1)}
        66:{1,3,4}:{(41,1),(48,1),(97,1),(172,1),(183,1)}
        67:{2,3,7}:{(42,1),(43,1),(98,1),(167,1)}
        68:{1,3,6}:{(42,1),(44,1),(48,1),(98,1),(99,1)}
        69:{1,4,7}:{(43,1),(44,1),(46,1),(98,1)}
        70:{1,2,4,6}:{(44,1),(47,1),(49,1),(93,1),(99,1),(100,1),(101,1),(104,1),(177,1),(276,1),(360,1),(411,1)}
        71:{1,6,7}:{(45,1),(46,1),(362,1)}
        72:{1,2,5,7}:{(46,1),(47,1),(95,1),(100,1),(102,1),(103,1),(235,1),(270,1),(363,1),(420,1)}
        73:{1,3,5,6}:{(47,1),(96,1),(101,1),(103,1),(104,1),(179,1),(236,1),(245,1),(272,1),(274,1),(331,1),(340,1),(404,1),(412,1)}
        74:{2,5}:{(48,1),(97,1),(99,1)}
        75:{1,3,5}:{(49,1),(101,1),(106,1),(107,1),(161,1),(172,1),(408,1)}
        76:{2,4,5}:{(50,1),(52,1),(108,1),(109,1),(187,1),(281,1),(286,1)}
        77:{2,3,6}:{(52,1),(108,1),(110,1),(111,1),(128,1)}
        78:{2,4,7}:{(51,1),(52,1),(54,1),(110,1),(112,1),(190,1)}
        79:{1,4,6}:{(52,1),(55,1),(109,1),(111,1),(112,1)}
        80:{2,6,7}:{(53,1),(54,1),(114,1),(373,1)}
        81:{1,5,7}:{(54,1),(55,1),(112,1),(114,1)}
        82:{1,2,5,6}:{(55,1),(65,1),(113,1),(115,1),(116,1),(134,1),(197,1),(286,1),(293,1),(372,1),(373,1),(391,1)}
        83:{2,3,5}:{(57,1),(58,1),(118,1),(212,1),(222,1),(286,1),(431,1)}
        84:{4,5,6}:{(59,1),(119,1),(395,1),(448,1)}
        85:{3,4,6}:{(56,1),(119,1),(120,1),(311,1),(395,1)}
        86:{2,4,5,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(121,1),(125,1),(379,1),(431,1)}
        87:{1,4,5}:{(57,1),(62,1),(118,1),(122,1),(295,1),(387,1)}
        88:{2,3,4,7}:{(58,1),(61,1),(67,1),(110,1),(117,1),(123,1),(211,1),(221,1),(285,1),(303,1),(379,1)}
        89:{1,3,4,6}:{(58,1),(62,1),(66,1),(68,1),(111,1),(118,1),(123,1),(124,1),(128,1),(186,1),(198,1),(204,1),(206,1),(220,1),(284,1),(295,1),(300,1),(381,1)}
        90:{3,5,7}:{(59,1),(60,1),(119,1),(125,1)}
        91:{2,4,6,7}:{(60,1),(61,1),(63,1),(120,1),(125,1),(126,1)}
        92:{1,4,7}:{(61,1),(62,1),(64,1),(127,1),(309,1)}
        93:{2,4,6}:{(62,1),(65,1),(122,1),(127,1),(128,1)}
        94:{1,3,6,7}:{(63,1),(64,1),(71,1),(114,1),(126,1),(129,1),(198,1),(210,1)}
        95:{2,5,7}:{(64,1),(65,1),(127,1),(129,1),(135,1),(190,1)}
        96:{2,3,5,6}:{(65,1),(73,1),(116,1),(128,1),(130,1),(131,1),(136,1),(191,1),(200,1),(212,1),(222,1),(286,1),(292,1),(296,1),(299,1),(311,1),(313,1),(320,1),(373,1),(378,1),(384,1),(391,1),(430,1),(431,1),(449,1)}
        97:{2,4}:{(66,1),(74,1),(133,1)}
        98:{1,3,7}:{(67,1),(68,1),(69,1),(135,1)}
        99:{2,6}:{(68,1),(74,1),(135,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(72,1),(127,1),(135,1),(137,1),(140,1),(221,1),(324,1),(397,1),(433,1)}
       101:{1,3,6}:{(70,1),(75,1),(128,1),(136,1),(137,1),(430,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(129,1),(139,1),(293,1),(320,1),(398,1),(438,1)}
       103:{1,3,5,7}:{(72,1),(73,1),(130,1),(137,1),(139,1),(140,1),(225,1),(283,1),(371,1)}
       104:{1,4,6}:{(73,1),(131,1),(140,1),(141,1),(295,1)}
       105:{1,2,5}:{(74,1),(132,1),(134,1),(142,1),(315,1)}
       106:{2,3,5}:{(74,1),(75,1),(133,1),(136,1),(142,1),(143,1),(216,1),(222,1),(315,1)}
       107:{1,3,4}:{(75,1),(143,1),(204,1),(295,1),(377,1)}
       108:{2,3,5}:{(76,1),(77,1),(145,1),(146,1),(161,1)}
       109:{1,4,5}:{(76,1),(79,1),(146,1),(327,1),(331,1)}
       110:{2,3,7}:{(77,1),(78,1),(148,1),(167,1)}
       111:{1,3,6}:{(77,1),(79,1),(146,1),(148,1),(149,1)}
       112:{1,4,7}:{(78,1),(79,1),(81,1),(148,1)}
       113:{1,2,4,6}:{(79,1),(82,1),(93,1),(147,1),(149,1),(150,1),(151,1),(154,1),(238,1),(402,1),(411,1),(439,1)}
       114:{1,6,7}:{(80,1),(81,1),(404,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(95,1),(150,1),(152,1),(153,1),(174,1),(332,1),(405,1),(420,1)}
       116:{1,3,5,6}:{(82,1),(96,1),(151,1),(153,1),(154,1),(175,1),(240,1),(245,1),(269,1),(334,1),(336,1),(340,1),(362,1),(412,1)}
       117:{2,3,5,7}:{(83,1),(86,1),(88,1),(155,1),(156,1),(260,1),(270,1),(332,1)}
       118:{1,3,5}:{(83,1),(87,1),(89,1),(157,1),(161,1),(269,1),(331,1),(347,1),(412,1)}
       119:{3,5,6}:{(84,1),(85,1),(90,1),(158,1),(441,1)}
       120:{2,4,6}:{(85,1),(86,1),(155,1),(158,1),(159,1)}
       121:{1,4,5,7}:{(86,1),(87,1),(92,1),(156,1),(159,1),(160,1),(165,1),(341,1),(412,1)}
       122:{2,4,5}:{(87,1),(93,1),(157,1),(161,1),(248,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(92,1),(98,1),(148,1),(156,1),(163,1),(167,1),(251,1),(254,1),(268,1),(330,1),(341,1)}
       124:{2,4,6}:{(89,1),(97,1),(99,1),(149,1),(157,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       125:{2,5,7}:{(90,1),(91,1),(158,1),(165,1)}
       126:{1,4,6,7}:{(91,1),(92,1),(94,1),(159,1),(165,1),(166,1)}
       127:{2,4,7}:{(92,1),(93,1),(95,1),(167,1)}
       128:{3,6}:{(93,1),(161,1),(167,1)}
       129:{2,6,7}:{(94,1),(95,1),(246,1)}
       130:{2,3,5,7}:{(95,1),(96,1),(103,1),(153,1),(167,1),(169,1),(170,1),(176,1),(237,1),(258,1),(260,1),(262,1),(270,1),(332,1),(420,1),(443,1),(453,1)}
       131:{2,4,6}:{(96,1),(104,1),(154,1),(168,1),(170,1),(171,1),(248,1),(339,1),(346,1),(452,1)}
       132:{1,2,4}:{(97,1),(105,1),(172,1),(183,1),(265,1)}
       133:{2,3}:{(97,1),(172,1)}
       134:{1,2,6}:{(99,1),(105,1),(174,1),(175,1),(360,1)}
       135:{2,7}:{(98,1),(99,1)}
       136:{2,3,6}:{(99,1),(101,1),(106,1),(175,1),(176,1),(177,1),(360,1)}
       137:{1,3,7}:{(100,1),(101,1),(167,1),(176,1),(443,1)}
       138:{1,3,4,6}:{(101,1),(104,1),(107,1),(168,1),(177,1),(178,1),(179,1),(272,1)}
       139:{1,3,6,7}:{(102,1),(103,1),(169,1),(180,1),(272,1),(340,1),(404,1)}
       140:{1,4,7}:{(103,1),(104,1),(170,1)}
       141:{1,4,5}:{(104,1),(171,1),(179,1),(331,1),(412,1)}
       142:{1,3,5}:{(105,1),(106,1),(172,1),(175,1),(183,1),(269,1)}
       143:{2,4}:{(106,1),(107,1),(183,1)}
       144:{1,3,4,5}:{(107,1),(179,1),(184,1),(185,1),(252,1),(266,1),(342,1),(408,1)}
       145:{2,3,4}:{(108,1),(186,1),(204,1),(281,1),(365,1)}
       146:{1,3,5}:{(108,1),(109,1),(111,1),(186,1),(187,1)}
       147:{1,2,4,5}:{(109,1),(113,1),(122,1),(187,1),(188,1),(196,1),(197,1),(278,1),(281,1),(286,1),(295,1),(368,1),(380,1),(423,1)}
       148:{1,3,7}:{(110,1),(111,1),(112,1),(190,1)}
       149:{2,6}:{(111,1),(187,1),(190,1)}
       150:{1,2,4,7}:{(112,1),(113,1),(115,1),(127,1),(190,1),(192,1),(195,1),(285,1),(426,1),(433,1),(447,1)}
       151:{1,3,6}:{(113,1),(128,1),(188,1),(191,1),(192,1),(430,1)}
       152:{1,2,6,7}:{(114,1),(115,1),(129,1),(194,1),(293,1),(373,1),(427,1),(438,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(130,1),(192,1),(194,1),(195,1),(219,1),(289,1),(318,1)}
       154:{1,4,6}:{(116,1),(131,1),(195,1),(196,1),(295,1)}
       155:{2,3,6}:{(117,1),(120,1),(198,1),(311,1),(320,1),(373,1)}
       156:{1,3,5,7}:{(117,1),(118,1),(121,1),(123,1),(198,1),(199,1),(203,1),(318,1),(371,1)}
       157:{2,5}:{(118,1),(124,1)}
       158:{2,5,6}:{(119,1),(120,1),(125,1),(201,1),(431,1)}
       159:{1,4,6}:{(120,1),(121,1),(198,1),(201,1),(202,1)}
       160:{2,4,5,7}:{(121,1),(122,1),(127,1),(199,1),(202,1),(203,1),(209,1),(297,1),(309,1),(384,1),(387,1)}
       161:{3,5}:{(122,1),(128,1),(204,1)}
       162:{1,2,4,6}:{(124,1),(132,1),(134,1),(189,1),(197,1),(205,1),(206,1),(220,1),(278,1),(284,1),(293,1),(295,1),(304,1),(381,1)}
       163:{2,4,7}:{(123,1),(124,1),(135,1),(190,1),(199,1),(207,1)}
       164:{2,3,6}:{(124,1),(128,1),(133,1),(200,1),(206,1),(207,1),(279,1)}
       165:{1,5,7}:{(125,1),(126,1),(201,1),(209,1)}
       166:{2,4,6,7}:{(126,1),(127,1),(129,1),(202,1),(209,1),(210,1),(309,1)}
       167:{3,7}:{(127,1),(128,1)}
       168:{3,4,6}:{(128,1),(131,1),(204,1),(211,1),(212,1),(311,1),(377,1),(430,1)}
       169:{2,3,6,7}:{(129,1),(130,1),(139,1),(194,1),(210,1),(213,1),(296,1),(311,1),(320,1),(373,1),(378,1),(438,1),(450,1)}
       170:{2,4,7}:{(130,1),(131,1),(140,1),(195,1),(211,1),(309,1),(454,1)}
       171:{2,4,5}:{(131,1),(141,1),(196,1),(212,1),(222,1),(286,1),(384,1),(387,1),(431,1),(448,1)}
       172:{1,3}:{(132,1),(133,1),(216,1)}
       173:{2,3,4}:{(133,1),(143,1),(217,1),(218,1),(377,1)}
       174:{1,2,7}:{(134,1),(135,1),(219,1),(397,1)}
       175:{1,3,6}:{(134,1),(136,1),(142,1),(219,1),(220,1)}
       176:{2,3,7}:{(135,1),(136,1),(137,1),(219,1),(221,1),(397,1)}
       177:{2,4,6}:{(136,1),(138,1),(143,1),(220,1),(221,1),(222,1),(320,1)}
       178:{1,3,4,7}:{(137,1),(138,1),(140,1),(211,1),(221,1),(223,1)}
       179:{1,3,5}:{(138,1),(141,1),(212,1),(222,1)}
       180:{1,4,6,7}:{(139,1),(140,1),(213,1),(225,1),(226,1),(381,1)}
       181:{1,4,5,7}:{(140,1),(141,1),(214,1),(223,1),(225,1),(226,1),(371,1)}
       182:{1,4,5,6}:{(141,1),(215,1),(224,1),(226,1),(227,1),(372,1),(383,1),(434,1)}
       183:{1,4}:{(142,1),(143,1)}
       184:{2,4,5}:{(143,1),(144,1),(218,1),(222,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(144,1),(224,1),(229,1),(230,1),(302,1),(316,1),(383,1),(430,1)}
       186:{1,3,4}:{(145,1),(146,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(146,1),(149,1),(231,1)}
       188:{1,3,5}:{(147,1),(151,1),(161,1),(233,1),(234,1),(325,1),(408,1)}
       189:{1,2,6}:{(149,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,7}:{(148,1),(149,1)}
       191:{2,3,6}:{(149,1),(151,1),(233,1),(236,1),(237,1),(238,1),(439,1)}
       192:{1,3,7}:{(150,1),(151,1),(167,1),(237,1),(443,1)}
       193:{1,3,4,6}:{(151,1),(154,1),(168,1),(234,1),(238,1),(239,1),(240,1),(334,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(169,1),(241,1),(334,1),(340,1),(362,1)}
       195:{1,4,7}:{(153,1),(154,1),(170,1)}
       196:{1,4,5}:{(154,1),(171,1),(240,1),(269,1),(412,1)}
       197:{1,2,5}:{(157,1),(162,1),(245,1),(269,1),(331,1),(351,1),(412,1)}
       198:{1,3,6}:{(155,1),(156,1),(159,1),(246,1),(250,1),(362,1),(404,1)}
       199:{2,5,7}:{(156,1),(157,1),(163,1),(246,1)}
       200:{2,3,5}:{(157,1),(161,1),(164,1),(245,1),(248,1)}
       201:{1,5,6}:{(158,1),(159,1),(165,1),(249,1),(412,1)}
       202:{2,4,6}:{(159,1),(160,1),(246,1),(249,1),(250,1),(346,1)}
       203:{3,5,7}:{(160,1),(161,1),(167,1),(250,1),(251,1),(347,1)}
       204:{3,4}:{(161,1),(248,1)}
       205:{1,2,4,7}:{(162,1),(163,1),(174,1),(235,1),(244,1),(254,1),(268,1),(330,1),(341,1),(350,1)}
       206:{1,3,6}:{(162,1),(164,1),(172,1),(245,1),(253,1),(254,1),(325,1)}
       207:{2,3,7}:{(163,1),(164,1),(167,1),(254,1)}
       208:{2,3,4,6}:{(164,1),(168,1),(173,1),(177,1),(238,1),(248,1),(255,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(354,1),(401,1)}
       209:{2,5,7}:{(165,1),(166,1),(249,1),(258,1)}
       210:{3,6,7}:{(166,1),(167,1),(250,1),(258,1)}
       211:{3,4,7}:{(167,1),(168,1),(170,1),(260,1),(443,1)}
       212:{3,5}:{(168,1),(171,1)}
       213:{2,4,6,7}:{(169,1),(170,1),(180,1),(241,1),(259,1),(262,1),(263,1),(343,1),(409,1)}
       214:{2,4,5,7}:{(170,1),(171,1),(181,1),(242,1),(260,1),(262,1),(263,1),(270,1),(332,1),(356,1)}
       215:{2,4,5,6}:{(171,1),(182,1),(243,1),(261,1),(263,1),(264,1),(271,1),(333,1),(345,1),(411,1),(415,1),(417,1),(444,1),(452,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(408,1)}
       219:{1,3,7}:{(174,1),(175,1),(176,1),(268,1)}
       220:{1,4,6}:{(175,1),(177,1),(183,1),(268,1),(269,1),(362,1)}
       221:{2,4,7}:{(176,1),(177,1),(178,1),(268,1),(270,1)}
       222:{2,5}:{(177,1),(179,1),(269,1)}
       223:{1,3,5,7}:{(178,1),(179,1),(181,1),(260,1),(270,1),(272,1)}
       224:{1,3,5,6}:{(179,1),(182,1),(185,1),(261,1),(271,1),(272,1),(273,1)}
       225:{1,5,7}:{(180,1),(262,1),(274,1),(412,1)}
       226:{1,4,6}:{(181,1),(263,1),(272,1),(274,1),(404,1)}
       227:{1,4,5,7}:{(182,1),(264,1),(273,1),(275,1),(405,1),(414,1),(446,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(269,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(271,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(273,1),(277,1),(349,1),(361,1),(414,1),(443,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(191,1),(279,1),(280,1),(281,1),(286,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(204,1),(281,1),(295,1),(377,1)}
       235:{1,2,7}:{(189,1),(190,1),(283,1),(447,1)}
       236:{1,3,6}:{(189,1),(191,1),(280,1),(283,1),(284,1)}
       237:{2,3,7}:{(190,1),(191,1),(192,1),(283,1),(285,1),(447,1)}
       238:{2,4,6}:{(191,1),(193,1),(281,1),(284,1),(285,1),(286,1),(373,1)}
       239:{1,3,4,7}:{(192,1),(193,1),(195,1),(211,1),(285,1),(287,1)}
       240:{1,3,5}:{(193,1),(196,1),(212,1),(286,1)}
       241:{1,4,6,7}:{(194,1),(195,1),(213,1),(289,1),(290,1),(381,1)}
       242:{1,4,5,7}:{(195,1),(196,1),(214,1),(287,1),(289,1),(290,1),(318,1)}
       243:{1,4,5,6}:{(196,1),(215,1),(288,1),(290,1),(291,1),(319,1),(383,1),(434,1)}
       244:{1,2,5,7}:{(197,1),(199,1),(205,1),(293,1),(294,1),(318,1),(371,1),(390,1)}
       245:{1,3,5}:{(197,1),(200,1),(206,1),(292,1),(295,1)}
       246:{2,6}:{(198,1),(199,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(203,1),(207,1),(294,1),(296,1),(297,1),(384,1)}
       248:{2,4}:{(200,1),(204,1),(295,1)}
       249:{2,5,6}:{(201,1),(202,1),(209,1),(299,1),(384,1)}
       250:{3,6}:{(202,1),(203,1)}
       251:{3,4,7}:{(203,1),(204,1),(297,1),(300,1),(309,1)}
       252:{3,4,5}:{(204,1),(212,1),(298,1),(302,1),(448,1)}
       253:{2,3,6}:{(206,1),(216,1),(292,1),(303,1),(304,1),(365,1),(430,1)}
       254:{1,3,7}:{(205,1),(206,1),(207,1),(303,1)}
       255:{1,3,4,6}:{(206,1),(208,1),(217,1),(220,1),(284,1),(295,1),(304,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(392,1),(424,1),(428,1),(430,1)}
       256:{2,3,4,7}:{(207,1),(208,1),(211,1),(221,1),(285,1),(297,1),(305,1),(307,1),(317,1),(386,1),(425,1)}
       257:{2,3,5}:{(208,1),(212,1),(222,1),(286,1),(298,1),(306,1),(384,1)}
       258:{3,5,7}:{(209,1),(210,1),(299,1),(309,1)}
       259:{3,4,6,7}:{(210,1),(211,1),(213,1),(300,1),(309,1),(310,1),(311,1),(395,1),(428,1),(450,1),(454,1)}
       260:{3,5,7}:{(211,1),(212,1),(214,1),(311,1)}
       261:{3,5,6}:{(212,1),(215,1),(302,1),(311,1),(312,1),(430,1)}
       262:{2,5,7}:{(213,1),(225,1),(289,1),(310,1),(313,1),(384,1),(431,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(311,1),(313,1),(320,1),(373,1),(395,1)}
       264:{2,4,5,7}:{(215,1),(227,1),(291,1),(312,1),(314,1),(321,1),(374,1),(386,1),(433,1),(436,1),(437,1),(451,1),(454,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(430,1)}
       268:{1,4,7}:{(219,1),(220,1),(221,1),(318,1)}
       269:{1,5}:{(220,1),(222,1)}
       270:{2,5,7}:{(221,1),(222,1),(223,1),(318,1),(320,1)}
       271:{2,5,6}:{(222,1),(224,1),(229,1),(319,1),(320,1),(321,1)}
       272:{1,3,6}:{(223,1),(226,1),(311,1),(320,1)}
       273:{1,3,5,7}:{(224,1),(227,1),(230,1),(312,1),(321,1),(322,1)}
       274:{1,5,6}:{(225,1),(226,1),(313,1)}
       275:{1,4,6,7}:{(226,1),(227,1),(314,1),(322,1),(323,1),(427,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(319,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(321,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(236,1),(325,1),(327,1),(331,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(240,1),(252,1),(328,1),(329,1),(342,1),(400,1),(408,1)}
       283:{1,3,7}:{(235,1),(236,1),(237,1),(330,1)}
       284:{1,4,6}:{(236,1),(238,1),(327,1),(330,1),(331,1),(404,1)}
       285:{2,4,7}:{(237,1),(238,1),(239,1),(330,1),(332,1)}
       286:{2,5}:{(238,1),(240,1),(331,1)}
       287:{1,3,5,7}:{(239,1),(240,1),(242,1),(260,1),(332,1),(334,1)}
       288:{1,3,5,6}:{(240,1),(243,1),(261,1),(329,1),(333,1),(334,1),(335,1)}
       289:{1,5,7}:{(241,1),(262,1),(336,1),(412,1)}
       290:{1,4,6}:{(242,1),(263,1),(334,1),(336,1),(362,1)}
       291:{1,4,5,7}:{(243,1),(264,1),(335,1),(337,1),(363,1),(414,1),(446,1)}
       292:{2,3,5}:{(245,1),(253,1),(339,1),(351,1),(408,1)}
       293:{1,2,6}:{(244,1),(246,1),(340,1),(362,1),(404,1),(419,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(254,1),(338,1),(340,1),(341,1),(412,1)}
       295:{1,4}:{(245,1),(248,1),(339,1)}
       296:{2,3,6}:{(246,1),(247,1),(250,1),(340,1),(343,1)}
       297:{2,4,7}:{(247,1),(248,1),(251,1),(341,1),(343,1)}
       298:{2,4,5}:{(248,1),(252,1),(257,1),(342,1),(345,1)}
       299:{3,5,6}:{(249,1),(250,1),(258,1),(346,1),(347,1)}
       300:{3,4,6}:{(250,1),(251,1),(343,1),(346,1),(347,1)}
       301:{3,4,5,7}:{(251,1),(252,1),(260,1),(344,1),(347,1),(348,1),(349,1),(356,1),(418,1)}
       302:{3,4,6}:{(252,1),(261,1),(345,1),(349,1),(452,1)}
       303:{2,3,7}:{(253,1),(254,1),(350,1),(443,1)}
       304:{2,4,6}:{(253,1),(255,1),(265,1),(339,1),(350,1),(351,1),(360,1),(399,1),(419,1),(439,1)}
       305:{1,3,4,7}:{(254,1),(255,1),(256,1),(268,1),(330,1),(341,1),(350,1),(352,1),(361,1),(407,1),(414,1),(440,1),(443,1)}
       306:{1,3,5}:{(255,1),(257,1),(269,1),(331,1),(342,1),(351,1),(408,1),(412,1),(441,1)}
       307:{2,3,5,7}:{(256,1),(257,1),(260,1),(270,1),(332,1),(344,1),(352,1),(354,1)}
       308:{2,3,5,6}:{(257,1),(261,1),(267,1),(271,1),(333,1),(345,1),(353,1),(354,1),(355,1),(401,1),(415,1)}
       309:{4,7}:{(258,1),(346,1)}
       310:{3,5,7}:{(259,1),(262,1),(347,1),(356,1),(357,1),(441,1)}
       311:{3,6}:{(260,1),(263,1)}
       312:{3,5,7}:{(261,1),(264,1),(349,1),(358,1),(443,1)}
       313:{2,5,6}:{(262,1),(263,1),(274,1),(336,1),(357,1)}
       314:{2,4,6,7}:{(263,1),(264,1),(275,1),(337,1),(358,1),(359,1),(364,1),(406,1),(422,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(443,1)}
       318:{1,5,7}:{(268,1),(269,1),(270,1),(362,1)}
       319:{1,5,6}:{(269,1),(271,1),(276,1),(362,1),(363,1)}
       320:{2,6}:{(270,1),(272,1),(362,1)}
       321:{2,5,7}:{(271,1),(273,1),(277,1),(363,1),(364,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(275,1),(358,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(363,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(286,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(288,1),(302,1),(369,1),(370,1),(383,1),(424,1),(430,1)}
       330:{1,4,7}:{(283,1),(284,1),(285,1),(371,1)}
       331:{1,5}:{(284,1),(286,1)}
       332:{2,5,7}:{(285,1),(286,1),(287,1),(371,1),(373,1)}
       333:{2,5,6}:{(286,1),(288,1),(369,1),(372,1),(373,1),(374,1)}
       334:{1,3,6}:{(287,1),(290,1),(311,1),(373,1)}
       335:{1,3,5,7}:{(288,1),(291,1),(312,1),(370,1),(374,1),(375,1)}
       336:{1,5,6}:{(289,1),(290,1),(313,1)}
       337:{1,4,6,7}:{(290,1),(291,1),(314,1),(375,1),(376,1),(398,1)}
       338:{2,3,5,7}:{(292,1),(294,1),(303,1),(378,1),(379,1),(390,1),(429,1),(431,1)}
       339:{2,4}:{(292,1),(295,1),(377,1)}
       340:{1,3,6}:{(293,1),(294,1),(296,1),(378,1),(381,1)}
       341:{1,4,7}:{(294,1),(295,1),(297,1),(379,1),(381,1)}
       342:{1,4,5}:{(295,1),(298,1),(306,1),(380,1),(383,1),(448,1)}
       343:{2,4,6}:{(296,1),(297,1),(300,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(297,1),(298,1),(301,1),(307,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(298,1),(302,1),(308,1),(383,1),(386,1)}
       346:{4,6}:{(299,1),(309,1),(387,1)}
       347:{3,5}:{(300,1),(384,1),(387,1)}
       348:{3,4,6}:{(301,1),(311,1),(385,1),(388,1),(395,1)}
       349:{3,4,7}:{(302,1),(312,1),(386,1),(454,1)}
       350:{2,4,7}:{(303,1),(304,1),(305,1),(390,1),(397,1),(447,1)}
       351:{2,5}:{(304,1),(306,1)}
       352:{1,3,5,7}:{(305,1),(306,1),(307,1),(318,1),(371,1),(382,1),(390,1),(392,1),(429,1)}
       353:{1,3,5,6}:{(306,1),(308,1),(316,1),(319,1),(372,1),(383,1),(391,1),(392,1),(393,1),(424,1),(430,1),(434,1),(449,1)}
       354:{2,3,6}:{(307,1),(311,1),(320,1),(373,1),(385,1),(392,1)}
       355:{2,3,5,7}:{(308,1),(312,1),(317,1),(321,1),(374,1),(386,1),(393,1),(394,1),(425,1),(436,1)}
       356:{4,5,7}:{(309,1),(310,1),(387,1),(395,1),(448,1),(454,1)}
       357:{3,5,6}:{(310,1),(311,1),(313,1),(395,1)}
       358:{3,6,7}:{(311,1),(312,1),(314,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(396,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,6}:{(318,1),(320,1)}
       363:{1,5,7}:{(319,1),(321,1),(324,1),(398,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(408,1)}
       368:{1,4,5}:{(327,1),(328,1),(331,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(333,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(335,1),(349,1),(403,1),(414,1),(440,1),(443,1)}
       371:{1,5,7}:{(330,1),(331,1),(332,1),(404,1)}
       372:{1,5,6}:{(331,1),(333,1),(402,1),(404,1),(405,1)}
       373:{2,6}:{(332,1),(334,1),(404,1)}
       374:{2,5,7}:{(333,1),(335,1),(403,1),(405,1),(406,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(337,1),(358,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(339,1),(408,1)}
       378:{2,3,6}:{(338,1),(340,1),(409,1),(419,1),(442,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(407,1),(409,1)}
       380:{2,4,5}:{(339,1),(342,1),(351,1),(408,1),(411,1)}
       381:{1,4,6}:{(340,1),(341,1),(343,1),(409,1),(412,1)}
       382:{1,4,5,7}:{(341,1),(342,1),(344,1),(352,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(342,1),(345,1),(353,1),(411,1),(414,1),(452,1)}
       384:{2,5}:{(343,1),(347,1),(412,1)}
       385:{2,4,6}:{(344,1),(348,1),(354,1),(413,1),(415,1)}
       386:{2,4,7}:{(345,1),(349,1),(355,1),(414,1)}
       387:{4,5}:{(346,1),(347,1)}
       388:{3,5,6}:{(347,1),(348,1),(415,1),(417,1),(418,1)}
       389:{3,4,6,7}:{(348,1),(349,1),(358,1),(416,1),(418,1),(422,1)}
       390:{2,5,7}:{(350,1),(351,1),(352,1),(419,1)}
       391:{2,5,6}:{(351,1),(353,1),(360,1),(411,1),(419,1),(420,1),(439,1)}
       392:{1,3,6}:{(352,1),(354,1),(362,1),(404,1),(413,1),(419,1),(442,1)}
       393:{1,3,5,7}:{(353,1),(355,1),(361,1),(363,1),(405,1),(414,1),(420,1),(421,1),(440,1),(443,1),(446,1),(453,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(358,1),(364,1),(406,1),(416,1),(421,1)}
       395:{4,6}:{(356,1),(357,1)}
       396:{3,5,6,7}:{(357,1),(358,1),(359,1),(418,1),(422,1),(453,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(430,1)}
       402:{1,4,6}:{(368,1),(369,1),(372,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(374,1),(425,1),(426,1),(447,1)}
       404:{1,6}:{(371,1),(373,1)}
       405:{1,5,7}:{(372,1),(374,1),(426,1),(427,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,4,7}:{(377,1),(379,1),(428,1),(429,1),(454,1)}
       408:{3,5}:{(377,1),(380,1),(430,1)}
       409:{2,4,6}:{(378,1),(379,1),(381,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(379,1),(380,1),(382,1),(390,1),(429,1),(431,1),(432,1),(433,1),(448,1),(451,1),(454,1)}
       411:{2,4,6}:{(380,1),(383,1),(391,1),(430,1),(433,1)}
       412:{1,5}:{(381,1),(384,1),(431,1)}
       413:{1,4,6}:{(382,1),(385,1),(392,1),(432,1),(434,1)}
       414:{1,4,7}:{(383,1),(386,1),(393,1),(433,1),(454,1)}
       415:{2,5,6}:{(384,1),(385,1),(388,1),(434,1),(436,1)}
       416:{2,4,6,7}:{(385,1),(386,1),(389,1),(394,1),(435,1),(436,1)}
       417:{4,5,6}:{(387,1),(388,1),(395,1),(437,1)}
       418:{3,5,7}:{(388,1),(389,1),(436,1),(437,1)}
       419:{2,6}:{(390,1),(392,1)}
       420:{2,5,7}:{(391,1),(393,1),(397,1),(433,1),(438,1),(447,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(435,1),(438,1),(450,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(443,1)}
       426:{1,4,7}:{(402,1),(403,1),(405,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,4,6}:{(407,1),(409,1),(441,1),(442,1),(452,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,6}:{(408,1),(411,1),(443,1)}
       431:{2,5}:{(409,1),(412,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(419,1),(442,1),(444,1),(452,1)}
       433:{2,4,7}:{(411,1),(414,1),(420,1),(443,1)}
       434:{1,5,6}:{(412,1),(413,1),(415,1),(444,1),(446,1)}
       435:{1,4,6,7}:{(413,1),(414,1),(416,1),(421,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(418,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,5}:{(428,1),(431,1),(448,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,7}:{(430,1),(433,1)}
       444:{2,5,6}:{(431,1),(432,1),(434,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(432,1),(433,1),(435,1),(438,1),(450,1),(451,1),(454,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 415 :   0:{1,5,6,7}:{(1,1),(2,1),(98,1),(190,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(133,1),(223,1)}
         2:{1,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(64,1),(234,1)}
         3:{1,4,5,6}:{(7,1),(8,1),(10,1),(66,1),(76,1),(130,1),(153,1),(234,1)}
         4:{1,5,6,7}:{(1,1),(12,1),(98,1),(251,1)}
         5:{3,5,6,7}:{(1,1),(14,1),(16,1),(44,1),(172,1),(263,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(19,1),(40,1),(270,1)}
         7:{2,4,5,6}:{(3,1),(13,1),(15,1),(17,1),(21,1),(42,1),(43,1),(50,1),(96,1),(107,1),(169,1),(183,1),(258,1),(270,1)}
         8:{1,4,5,7}:{(2,1),(3,1),(15,1),(18,1),(90,1),(98,1),(103,1)}
         9:{1,3,6,7}:{(2,1),(16,1),(18,1),(19,1),(282,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(18,1),(20,1),(21,1),(193,1),(282,1)}
        11:{1,3,4,5}:{(20,1),(22,1),(46,1),(59,1),(101,1),(119,1),(175,1),(193,1)}
        12:{1,4,6,7}:{(4,1),(6,1),(23,1),(24,1),(34,1),(297,1)}
        13:{1,4,5,6}:{(7,1),(23,1),(25,1),(36,1),(76,1),(130,1),(208,1),(297,1)}
        14:{4,6,7}:{(5,1),(26,1),(214,1),(310,1)}
        15:{2,4,5,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(28,1),(33,1),(63,1),(69,1),(72,1),(133,1),(138,1),(214,1)}
        16:{3,6,7}:{(6,1),(28,1),(319,1)}
        17:{3,5,6}:{(7,1),(28,1),(30,1),(142,1),(226,1),(319,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(32,1),(33,1)}
        19:{2,6,7}:{(9,1),(33,1),(34,1),(329,1)}
        20:{1,3,4,6}:{(10,1),(11,1),(30,1),(32,1),(35,1),(76,1),(83,1),(142,1)}
        21:{2,5,6}:{(10,1),(33,1),(35,1),(36,1),(237,1),(329,1)}
        22:{2,4,5}:{(11,1),(35,1),(37,1),(38,1),(86,1),(155,1),(237,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(15,1),(39,1),(54,1),(98,1),(103,1)}
        24:{1,3,6,7}:{(12,1),(16,1),(39,1),(40,1),(341,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(39,1),(41,1),(42,1),(254,1),(341,1)}
        26:{4,5,7}:{(14,1),(43,1),(44,1)}
        27:{3,4,6,7}:{(14,1),(16,1),(44,1),(45,1),(47,1),(95,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(47,1),(177,1)}
        29:{2,3,6,7}:{(16,1),(19,1),(40,1),(45,1),(48,1),(49,1),(167,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(50,1),(258,1)}
        31:{2,3,5,6}:{(17,1),(21,1),(42,1),(48,1),(50,1),(51,1),(56,1),(92,1),(96,1),(100,1),(167,1)}
        32:{1,3,4,7}:{(18,1),(20,1),(47,1),(53,1),(103,1),(110,1),(177,1)}
        33:{2,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1)}
        34:{1,6,7}:{(19,1),(54,1),(368,1)}
        35:{2,4,6}:{(20,1),(21,1),(22,1),(53,1),(56,1),(57,1),(114,1)}
        36:{1,5,6}:{(21,1),(54,1),(57,1),(284,1),(368,1)}
        37:{2,3,5}:{(22,1),(52,1),(56,1),(59,1),(175,1)}
        38:{1,4,5}:{(22,1),(57,1),(59,1),(195,1),(284,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(25,1),(28,1),(62,1),(63,1)}
        40:{2,6,7}:{(24,1),(63,1),(64,1),(378,1)}
        41:{1,3,4,6}:{(25,1),(30,1),(61,1),(62,1),(65,1),(76,1),(126,1),(142,1)}
        42:{2,5,6}:{(25,1),(63,1),(65,1),(66,1),(300,1),(378,1)}
        43:{4,5,6}:{(26,1),(67,1),(310,1),(448,1)}
        44:{3,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(69,1),(70,1),(72,1),(129,1)}
        46:{3,4,5}:{(30,1),(71,1),(226,1),(306,1),(391,1)}
        47:{3,4,7}:{(28,1),(30,1),(72,1),(214,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(31,1),(33,1),(63,1),(69,1),(72,1),(73,1),(79,1),(122,1)}
        49:{1,3,6,7}:{(29,1),(34,1),(64,1),(70,1),(73,1),(74,1),(134,1),(209,1)}
        50:{2,4,6}:{(30,1),(31,1),(71,1),(72,1),(76,1)}
        51:{1,3,5,6}:{(31,1),(36,1),(66,1),(73,1),(76,1),(77,1),(83,1),(126,1),(130,1),(135,1),(142,1),(209,1),(211,1)}
        52:{2,3,4}:{(37,1),(78,1),(155,1),(218,1),(228,1)}
        53:{2,4,7}:{(32,1),(33,1),(35,1),(79,1),(80,1),(146,1)}
        54:{1,5,7}:{(33,1),(34,1),(36,1),(80,1)}
        55:{1,2,6,7}:{(34,1),(74,1),(81,1),(82,1),(303,1),(329,1),(401,1),(438,1)}
        56:{2,3,6}:{(35,1),(37,1),(79,1),(83,1),(142,1)}
        57:{1,4,6}:{(35,1),(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,5,6}:{(36,1),(77,1),(81,1),(84,1),(85,1),(205,1),(216,1),(237,1),(303,1),(329,1),(331,1),(398,1)}
        59:{1,3,5}:{(37,1),(38,1),(78,1),(83,1),(86,1)}
        60:{1,2,4,5}:{(38,1),(84,1),(86,1),(87,1),(136,1),(144,1),(153,1),(155,1),(216,1),(237,1),(240,1),(313,1),(325,1),(392,1)}
        61:{1,3,4,5}:{(41,1),(46,1),(88,1),(101,1),(158,1),(175,1),(246,1),(254,1)}
        62:{1,3,4,7}:{(39,1),(41,1),(47,1),(89,1),(103,1),(160,1),(177,1)}
        63:{2,5,7}:{(39,1),(40,1),(42,1),(89,1),(90,1)}
        64:{1,6,7}:{(40,1),(90,1),(407,1)}
        65:{2,4,6}:{(41,1),(42,1),(88,1),(89,1),(92,1),(93,1),(164,1)}
        66:{1,5,6}:{(42,1),(90,1),(93,1),(343,1),(407,1)}
        67:{3,5,6}:{(43,1),(44,1),(95,1),(96,1),(441,1)}
        68:{3,4,5,7}:{(44,1),(46,1),(47,1),(95,1),(97,1),(262,1),(269,1),(414,1),(441,1)}
        69:{2,5,7}:{(44,1),(45,1),(96,1),(98,1)}
        70:{1,4,6,7}:{(45,1),(49,1),(98,1),(99,1),(103,1),(168,1)}
        71:{2,4,5}:{(46,1),(50,1),(100,1),(101,1),(355,1)}
        72:{2,4,7}:{(47,1),(48,1),(50,1),(103,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(51,1),(54,1),(90,1),(98,1),(103,1),(104,1),(110,1),(160,1),(172,1),(177,1)}
        74:{2,6,7}:{(49,1),(104,1),(256,1)}
        75:{2,3,4,6}:{(50,1),(52,1),(56,1),(92,1),(100,1),(102,1),(106,1),(157,1),(167,1),(182,1),(192,1),(253,1),(272,1),(355,1),(410,1)}
        76:{1,4,6}:{(50,1),(51,1),(101,1),(103,1),(107,1),(258,1)}
        77:{2,5,6}:{(51,1),(104,1),(107,1),(114,1),(164,1),(174,1),(256,1)}
        78:{1,3,4}:{(52,1),(59,1),(109,1),(184,1),(195,1)}
        79:{2,3,7}:{(53,1),(56,1),(110,1),(177,1)}
        80:{1,4,7}:{(53,1),(54,1),(57,1),(110,1)}
        81:{1,2,5,7}:{(54,1),(55,1),(58,1),(104,1),(111,1),(112,1),(247,1),(281,1),(370,1),(423,1)}
        82:{1,3,6,7}:{(55,1),(105,1),(112,1),(113,1),(282,1),(346,1),(407,1)}
        83:{1,3,6}:{(56,1),(57,1),(59,1),(110,1),(114,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(60,1),(107,1),(111,1),(114,1),(115,1),(116,1),(192,1),(287,1),(366,1),(419,1)}
        85:{1,3,5,6}:{(58,1),(108,1),(112,1),(115,1),(116,1),(190,1),(193,1),(252,1),(264,1),(282,1),(343,1),(346,1),(407,1),(411,1)}
        86:{2,5}:{(59,1),(109,1),(114,1)}
        87:{1,3,5}:{(60,1),(115,1),(118,1),(119,1),(175,1),(184,1),(418,1)}
        88:{2,4,5}:{(61,1),(65,1),(120,1),(121,1),(199,1),(292,1),(300,1)}
        89:{2,4,7}:{(62,1),(63,1),(65,1),(122,1),(123,1),(201,1)}
        90:{1,5,7}:{(63,1),(64,1),(66,1),(123,1)}
        91:{1,2,6,7}:{(64,1),(74,1),(124,1),(125,1),(303,1),(378,1),(428,1),(438,1)}
        92:{2,3,6}:{(65,1),(120,1),(122,1),(126,1),(142,1)}
        93:{1,4,6}:{(65,1),(66,1),(121,1),(123,1),(126,1)}
        94:{1,2,5,6}:{(66,1),(77,1),(124,1),(127,1),(128,1),(150,1),(216,1),(300,1),(303,1),(378,1),(380,1),(398,1)}
        95:{3,4,6}:{(67,1),(68,1),(129,1),(310,1),(319,1)}
        96:{2,5,6}:{(67,1),(69,1),(129,1),(130,1),(430,1)}
        97:{2,4,5,7}:{(68,1),(69,1),(71,1),(72,1),(129,1),(131,1),(132,1),(387,1),(430,1)}
        98:{1,5,7}:{(69,1),(70,1),(130,1),(133,1)}
        99:{2,4,6,7}:{(70,1),(74,1),(133,1),(134,1),(138,1),(210,1),(214,1)}
       100:{2,3,5}:{(71,1),(75,1),(135,1),(226,1),(237,1),(300,1),(430,1)}
       101:{1,4,5}:{(71,1),(76,1),(135,1),(136,1),(306,1),(313,1)}
       102:{2,3,4,7}:{(72,1),(75,1),(79,1),(122,1),(131,1),(137,1),(221,1),(232,1),(295,1),(316,1),(387,1)}
       103:{1,4,7}:{(72,1),(73,1),(76,1),(138,1),(214,1)}
       104:{2,5,7}:{(73,1),(74,1),(77,1),(138,1),(146,1),(201,1)}
       105:{2,3,6,7}:{(74,1),(82,1),(125,1),(134,1),(139,1),(140,1),(304,1),(319,1),(329,1),(378,1),(382,1),(438,1),(451,1)}
       106:{1,3,4,6}:{(75,1),(76,1),(78,1),(83,1),(126,1),(135,1),(137,1),(141,1),(142,1),(198,1),(209,1),(218,1),(224,1),(236,1),(299,1),(305,1),(313,1),(383,1)}
       107:{2,4,6}:{(76,1),(77,1),(136,1),(138,1),(142,1)}
       108:{2,3,5,6}:{(77,1),(85,1),(128,1),(139,1),(142,1),(143,1),(151,1),(206,1),(211,1),(217,1),(223,1),(226,1),(237,1),(300,1),(304,1),(312,1),(319,1),(329,1),(378,1),(382,1),(384,1),(398,1),(430,1),(436,1),(449,1)}
       109:{2,4}:{(78,1),(86,1),(145,1)}
       110:{1,3,7}:{(79,1),(80,1),(83,1),(146,1)}
       111:{1,2,4,7}:{(80,1),(81,1),(84,1),(138,1),(146,1),(147,1),(148,1),(232,1),(333,1),(400,1),(437,1)}
       112:{1,3,5,7}:{(81,1),(82,1),(85,1),(139,1),(147,1),(148,1),(149,1),(294,1),(377,1)}
       113:{1,4,6,7}:{(82,1),(140,1),(148,1),(149,1),(234,1),(383,1)}
       114:{2,6}:{(83,1),(86,1),(146,1)}
       115:{1,3,6}:{(84,1),(87,1),(142,1),(147,1),(151,1),(436,1)}
       116:{1,4,6}:{(85,1),(143,1),(148,1),(153,1),(313,1)}
       117:{1,2,5}:{(86,1),(144,1),(150,1),(154,1),(325,1)}
       118:{2,3,5}:{(86,1),(87,1),(145,1),(151,1),(154,1),(155,1),(228,1),(237,1),(325,1)}
       119:{1,3,4}:{(87,1),(155,1),(218,1),(313,1),(391,1)}
       120:{2,3,5}:{(88,1),(92,1),(157,1),(158,1),(175,1)}
       121:{1,4,5}:{(88,1),(93,1),(158,1),(336,1),(343,1)}
       122:{2,3,7}:{(89,1),(92,1),(160,1),(177,1)}
       123:{1,4,7}:{(89,1),(90,1),(93,1),(160,1)}
       124:{1,2,5,7}:{(90,1),(91,1),(94,1),(104,1),(161,1),(162,1),(186,1),(340,1),(409,1),(423,1)}
       125:{1,3,6,7}:{(91,1),(105,1),(162,1),(163,1),(341,1),(346,1),(368,1)}
       126:{1,3,6}:{(92,1),(93,1),(158,1),(160,1),(164,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(107,1),(159,1),(161,1),(164,1),(165,1),(166,1),(253,1),(405,1),(419,1),(439,1)}
       128:{1,3,5,6}:{(94,1),(108,1),(162,1),(165,1),(166,1),(191,1),(251,1),(254,1),(264,1),(284,1),(341,1),(346,1),(368,1),(411,1)}
       129:{2,4,6}:{(95,1),(96,1),(97,1),(167,1),(168,1)}
       130:{1,5,6}:{(96,1),(98,1),(168,1),(169,1),(411,1)}
       131:{2,3,5,7}:{(97,1),(100,1),(102,1),(167,1),(170,1),(269,1),(281,1),(340,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(101,1),(103,1),(168,1),(170,1),(171,1),(351,1),(411,1)}
       133:{2,5,7}:{(98,1),(99,1),(169,1),(172,1)}
       134:{3,6,7}:{(99,1),(172,1),(177,1),(257,1)}
       135:{1,3,5}:{(100,1),(101,1),(106,1),(174,1),(175,1),(284,1),(343,1),(348,1),(411,1)}
       136:{2,4,5}:{(101,1),(107,1),(174,1),(175,1),(265,1)}
       137:{1,3,4,7}:{(102,1),(103,1),(106,1),(110,1),(160,1),(170,1),(176,1),(177,1),(261,1),(267,1),(280,1),(339,1),(351,1)}
       138:{2,4,7}:{(103,1),(104,1),(107,1),(177,1)}
       139:{2,3,5,7}:{(104,1),(105,1),(108,1),(112,1),(162,1),(172,1),(177,1),(178,1),(179,1),(187,1),(248,1),(269,1),(281,1),(340,1),(423,1),(446,1),(453,1)}
       140:{2,4,6,7}:{(105,1),(113,1),(163,1),(173,1),(178,1),(179,1),(270,1),(347,1),(410,1)}
       141:{2,4,6}:{(106,1),(109,1),(114,1),(164,1),(174,1),(176,1),(181,1),(243,1),(256,1),(265,1)}
       142:{3,6}:{(107,1),(175,1),(177,1)}
       143:{2,4,6}:{(108,1),(116,1),(166,1),(178,1),(182,1),(183,1),(258,1),(265,1),(355,1),(452,1)}
       144:{1,2,4}:{(109,1),(117,1),(184,1),(195,1),(277,1)}
       145:{2,3}:{(109,1),(184,1)}
       146:{2,7}:{(110,1),(114,1)}
       147:{1,3,7}:{(111,1),(115,1),(177,1),(187,1),(446,1)}
       148:{1,4,7}:{(112,1),(116,1),(178,1)}
       149:{1,5,7}:{(113,1),(179,1),(190,1),(411,1)}
       150:{1,2,6}:{(114,1),(117,1),(186,1),(191,1),(366,1)}
       151:{2,3,6}:{(114,1),(115,1),(118,1),(187,1),(191,1),(192,1),(366,1)}
       152:{1,3,4,6}:{(115,1),(116,1),(119,1),(182,1),(188,1),(192,1),(193,1),(282,1)}
       153:{1,4,5}:{(116,1),(183,1),(193,1),(343,1),(411,1)}
       154:{1,3,5}:{(117,1),(118,1),(184,1),(191,1),(195,1),(284,1)}
       155:{2,4}:{(118,1),(119,1),(195,1)}
       156:{1,3,4,5}:{(119,1),(193,1),(196,1),(197,1),(266,1),(278,1),(356,1),(418,1)}
       157:{2,3,4}:{(120,1),(198,1),(218,1),(292,1),(371,1)}
       158:{1,3,5}:{(120,1),(121,1),(126,1),(198,1),(199,1)}
       159:{1,2,4,5}:{(121,1),(127,1),(136,1),(199,1),(200,1),(208,1),(216,1),(289,1),(292,1),(300,1),(313,1),(374,1),(392,1),(424,1)}
       160:{1,3,7}:{(122,1),(123,1),(126,1),(201,1)}
       161:{1,2,4,7}:{(123,1),(124,1),(127,1),(138,1),(201,1),(202,1),(203,1),(295,1),(427,1),(437,1),(447,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(128,1),(139,1),(202,1),(203,1),(204,1),(231,1),(328,1)}
       163:{1,4,6,7}:{(125,1),(140,1),(203,1),(204,1),(297,1),(383,1)}
       164:{2,6}:{(126,1),(199,1),(201,1)}
       165:{1,3,6}:{(127,1),(142,1),(200,1),(202,1),(206,1),(436,1)}
       166:{1,4,6}:{(128,1),(143,1),(203,1),(208,1),(313,1)}
       167:{2,3,6}:{(129,1),(131,1),(209,1),(319,1),(329,1),(378,1)}
       168:{1,4,6}:{(129,1),(130,1),(132,1),(209,1),(210,1)}
       169:{2,5,6}:{(130,1),(133,1),(210,1),(211,1),(384,1)}
       170:{1,3,5,7}:{(131,1),(132,1),(135,1),(137,1),(209,1),(212,1),(213,1),(328,1),(377,1)}
       171:{2,4,5,7}:{(132,1),(133,1),(136,1),(138,1),(210,1),(212,1),(213,1),(214,1),(306,1),(308,1),(384,1)}
       172:{3,5,7}:{(133,1),(134,1),(211,1),(214,1)}
       173:{3,4,6,7}:{(134,1),(140,1),(214,1),(215,1),(221,1),(305,1),(310,1),(319,1),(429,1),(451,1),(454,1)}
       174:{2,5}:{(135,1),(141,1)}
       175:{3,5}:{(136,1),(142,1),(218,1)}
       176:{2,4,7}:{(137,1),(141,1),(146,1),(201,1),(212,1),(220,1)}
       177:{3,7}:{(138,1),(142,1)}
       178:{2,4,7}:{(139,1),(143,1),(148,1),(203,1),(214,1),(221,1),(454,1)}
       179:{2,5,7}:{(140,1),(149,1),(204,1),(215,1),(223,1),(384,1),(430,1)}
       180:{1,2,4,6}:{(141,1),(144,1),(150,1),(205,1),(216,1),(219,1),(224,1),(236,1),(289,1),(299,1),(303,1),(313,1),(321,1),(383,1)}
       181:{2,3,6}:{(141,1),(142,1),(145,1),(217,1),(220,1),(224,1),(290,1)}
       182:{3,4,6}:{(142,1),(143,1),(218,1),(221,1),(226,1),(319,1),(391,1),(436,1)}
       183:{2,4,5}:{(143,1),(153,1),(208,1),(226,1),(237,1),(300,1),(306,1),(384,1),(430,1),(448,1)}
       184:{1,3}:{(144,1),(145,1),(228,1)}
       185:{2,3,4}:{(145,1),(155,1),(229,1),(230,1),(391,1)}
       186:{1,2,7}:{(146,1),(150,1),(231,1),(400,1)}
       187:{2,3,7}:{(146,1),(147,1),(151,1),(231,1),(232,1),(400,1)}
       188:{1,3,4,7}:{(147,1),(148,1),(152,1),(221,1),(232,1),(233,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(153,1),(222,1),(233,1),(234,1),(377,1)}
       190:{1,5,6}:{(149,1),(223,1),(234,1)}
       191:{1,3,6}:{(150,1),(151,1),(154,1),(231,1),(236,1)}
       192:{2,4,6}:{(151,1),(152,1),(155,1),(232,1),(236,1),(237,1),(329,1)}
       193:{1,3,5}:{(152,1),(153,1),(226,1),(237,1)}
       194:{1,4,5,6}:{(153,1),(227,1),(234,1),(238,1),(239,1),(380,1),(393,1),(431,1)}
       195:{1,4}:{(154,1),(155,1)}
       196:{2,4,5}:{(155,1),(156,1),(230,1),(237,1),(240,1),(241,1),(325,1)}
       197:{1,3,4,6}:{(156,1),(238,1),(241,1),(242,1),(315,1),(326,1),(393,1),(436,1)}
       198:{1,3,4}:{(157,1),(158,1),(243,1),(334,1),(336,1)}
       199:{2,5}:{(158,1),(164,1),(243,1)}
       200:{1,3,5}:{(159,1),(165,1),(175,1),(245,1),(246,1),(334,1),(418,1)}
       201:{2,7}:{(160,1),(164,1)}
       202:{1,3,7}:{(161,1),(165,1),(177,1),(248,1),(446,1)}
       203:{1,4,7}:{(162,1),(166,1),(178,1)}
       204:{1,5,7}:{(163,1),(179,1),(251,1),(411,1)}
       205:{1,2,6}:{(164,1),(244,1),(247,1),(252,1),(439,1)}
       206:{2,3,6}:{(164,1),(165,1),(245,1),(248,1),(252,1),(253,1),(439,1)}
       207:{1,3,4,6}:{(165,1),(166,1),(182,1),(246,1),(249,1),(253,1),(254,1),(341,1)}
       208:{1,4,5}:{(166,1),(183,1),(254,1),(284,1),(411,1)}
       209:{1,3,6}:{(167,1),(168,1),(170,1),(256,1),(257,1),(368,1),(407,1)}
       210:{2,4,6}:{(168,1),(169,1),(171,1),(256,1),(257,1),(258,1)}
       211:{3,5,6}:{(169,1),(172,1),(257,1),(258,1),(348,1)}
       212:{2,5,7}:{(170,1),(174,1),(176,1),(256,1)}
       213:{3,5,7}:{(171,1),(175,1),(177,1),(257,1),(261,1),(348,1)}
       214:{4,7}:{(172,1),(258,1)}
       215:{3,5,7}:{(173,1),(179,1),(262,1),(263,1),(348,1),(441,1)}
       216:{1,2,5}:{(174,1),(180,1),(264,1),(284,1),(343,1),(363,1),(411,1)}
       217:{2,3,5}:{(174,1),(175,1),(181,1),(264,1),(265,1)}
       218:{3,4}:{(175,1),(265,1)}
       219:{1,2,4,7}:{(176,1),(180,1),(186,1),(247,1),(259,1),(267,1),(280,1),(339,1),(351,1),(359,1)}
       220:{2,3,7}:{(176,1),(177,1),(181,1),(267,1)}
       221:{3,4,7}:{(177,1),(178,1),(182,1),(269,1),(446,1)}
       222:{2,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(250,1),(262,1),(269,1),(270,1),(281,1),(340,1)}
       223:{2,5,6}:{(179,1),(190,1),(251,1),(263,1),(270,1)}
       224:{1,3,6}:{(180,1),(181,1),(184,1),(264,1),(267,1),(272,1),(334,1)}
       225:{2,3,4,6}:{(181,1),(182,1),(185,1),(192,1),(253,1),(265,1),(268,1),(273,1),(274,1),(279,1),(335,1),(347,1),(357,1),(361,1),(404,1)}
       226:{3,5}:{(182,1),(183,1)}
       227:{2,4,5,6}:{(183,1),(194,1),(255,1),(270,1),(275,1),(276,1),(285,1),(344,1),(349,1),(357,1),(412,1),(419,1),(442,1),(452,1)}
       228:{2,3}:{(184,1),(277,1)}
       229:{1,3,4}:{(184,1),(185,1),(195,1),(277,1),(278,1)}
       230:{2,3,5}:{(185,1),(196,1),(278,1),(279,1),(418,1)}
       231:{1,3,7}:{(186,1),(187,1),(191,1),(280,1)}
       232:{2,4,7}:{(187,1),(188,1),(192,1),(280,1),(281,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(193,1),(269,1),(281,1),(282,1)}
       234:{1,4,6}:{(189,1),(190,1),(270,1),(282,1),(407,1)}
       235:{1,5,6,7}:{(190,1),(271,1),(283,1),(443,1)}
       236:{1,4,6}:{(191,1),(192,1),(195,1),(280,1),(284,1),(368,1)}
       237:{2,5}:{(192,1),(193,1),(284,1)}
       238:{1,3,5,6}:{(193,1),(194,1),(197,1),(275,1),(282,1),(285,1),(286,1)}
       239:{1,4,5,7}:{(194,1),(276,1),(283,1),(286,1),(409,1),(420,1),(443,1)}
       240:{1,4,5}:{(195,1),(196,1),(278,1),(284,1),(287,1)}
       241:{2,4,6}:{(196,1),(197,1),(279,1),(285,1),(287,1),(288,1),(366,1)}
       242:{1,3,4,7}:{(197,1),(286,1),(288,1),(358,1),(367,1),(420,1),(446,1)}
       243:{2,4}:{(198,1),(199,1),(290,1)}
       244:{1,2,5}:{(199,1),(205,1),(289,1),(291,1),(424,1)}
       245:{2,3,5}:{(199,1),(200,1),(206,1),(290,1),(291,1),(292,1),(300,1),(371,1),(424,1)}
       246:{1,3,4}:{(200,1),(218,1),(292,1),(313,1),(391,1)}
       247:{1,2,7}:{(201,1),(205,1),(294,1),(447,1)}
       248:{2,3,7}:{(201,1),(202,1),(206,1),(294,1),(295,1),(447,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(207,1),(221,1),(295,1),(296,1)}
       250:{1,4,5,7}:{(203,1),(204,1),(208,1),(222,1),(296,1),(297,1),(328,1)}
       251:{1,5,6}:{(204,1),(223,1),(297,1)}
       252:{1,3,6}:{(205,1),(206,1),(291,1),(294,1),(299,1)}
       253:{2,4,6}:{(206,1),(207,1),(292,1),(295,1),(299,1),(300,1),(378,1)}
       254:{1,3,5}:{(207,1),(208,1),(226,1),(300,1)}
       255:{1,4,5,6}:{(208,1),(227,1),(297,1),(301,1),(302,1),(331,1),(393,1),(431,1)}
       256:{2,6}:{(209,1),(212,1)}
       257:{3,6}:{(210,1),(213,1)}
       258:{4,6}:{(211,1),(214,1),(306,1)}
       259:{1,2,5,7}:{(212,1),(216,1),(219,1),(303,1),(307,1),(328,1),(377,1),(395,1)}
       260:{2,3,5,7}:{(212,1),(213,1),(217,1),(220,1),(304,1),(307,1),(308,1),(384,1)}
       261:{3,4,7}:{(213,1),(214,1),(218,1),(305,1),(308,1)}
       262:{4,5,7}:{(214,1),(215,1),(306,1),(310,1),(448,1),(454,1)}
       263:{3,5,6}:{(215,1),(223,1),(310,1),(319,1)}
       264:{1,3,5}:{(216,1),(217,1),(224,1),(312,1),(313,1)}
       265:{2,4}:{(217,1),(218,1),(313,1)}
       266:{3,4,5}:{(218,1),(226,1),(314,1),(315,1),(448,1)}
       267:{1,3,7}:{(219,1),(220,1),(224,1),(316,1)}
       268:{2,3,4,7}:{(220,1),(221,1),(225,1),(232,1),(295,1),(308,1),(317,1),(318,1),(327,1),(394,1),(426,1)}
       269:{3,5,7}:{(221,1),(222,1),(226,1),(319,1)}
       270:{2,4,6}:{(222,1),(223,1),(234,1),(297,1),(310,1),(319,1),(329,1),(378,1)}
       271:{2,5,6,7}:{(223,1),(235,1),(298,1),(311,1),(320,1),(432,1),(450,1)}
       272:{2,3,6}:{(224,1),(228,1),(312,1),(316,1),(321,1),(371,1),(436,1)}
       273:{1,3,4,6}:{(224,1),(225,1),(229,1),(236,1),(299,1),(313,1),(317,1),(321,1),(322,1),(326,1),(372,1),(383,1),(391,1),(393,1),(396,1),(425,1),(429,1),(436,1)}
       274:{2,3,5}:{(225,1),(226,1),(237,1),(300,1),(314,1),(322,1),(384,1)}
       275:{3,5,6}:{(226,1),(227,1),(315,1),(319,1),(324,1),(436,1)}
       276:{2,4,5,7}:{(227,1),(239,1),(302,1),(320,1),(324,1),(332,1),(381,1),(386,1),(394,1),(432,1),(437,1),(450,1),(454,1)}
       277:{2,4}:{(228,1),(229,1),(325,1)}
       278:{1,3,5}:{(229,1),(230,1),(240,1),(325,1),(326,1)}
       279:{2,3,6}:{(230,1),(241,1),(326,1),(327,1),(436,1)}
       280:{1,4,7}:{(231,1),(232,1),(236,1),(328,1)}
       281:{2,5,7}:{(232,1),(233,1),(237,1),(328,1),(329,1)}
       282:{1,3,6}:{(233,1),(234,1),(319,1),(329,1)}
       283:{1,4,6,7}:{(234,1),(235,1),(239,1),(320,1),(330,1),(428,1)}
       284:{1,5}:{(236,1),(237,1)}
       285:{2,5,6}:{(237,1),(238,1),(241,1),(329,1),(331,1),(332,1)}
       286:{1,3,5,7}:{(238,1),(239,1),(242,1),(324,1),(330,1),(332,1)}
       287:{1,4,6}:{(240,1),(241,1),(326,1),(331,1),(333,1)}
       288:{2,4,7}:{(241,1),(242,1),(327,1),(332,1),(333,1),(400,1)}
       289:{1,2,4}:{(243,1),(244,1),(334,1),(336,1),(402,1)}
       290:{2,3}:{(243,1),(334,1)}
       291:{1,3,5}:{(244,1),(245,1),(252,1),(334,1),(336,1),(343,1)}
       292:{2,4}:{(245,1),(246,1),(336,1)}
       293:{1,3,4,5}:{(246,1),(254,1),(266,1),(337,1),(338,1),(356,1),(403,1),(418,1)}
       294:{1,3,7}:{(247,1),(248,1),(252,1),(339,1)}
       295:{2,4,7}:{(248,1),(249,1),(253,1),(339,1),(340,1)}
       296:{1,3,5,7}:{(249,1),(250,1),(254,1),(269,1),(340,1),(341,1)}
       297:{1,4,6}:{(250,1),(251,1),(270,1),(341,1),(368,1)}
       298:{1,5,6,7}:{(251,1),(271,1),(342,1),(443,1)}
       299:{1,4,6}:{(252,1),(253,1),(336,1),(339,1),(343,1),(407,1)}
       300:{2,5}:{(253,1),(254,1),(343,1)}
       301:{1,3,5,6}:{(254,1),(255,1),(275,1),(338,1),(341,1),(344,1),(345,1)}
       302:{1,4,5,7}:{(255,1),(276,1),(342,1),(345,1),(370,1),(420,1),(443,1)}
       303:{1,2,6}:{(256,1),(259,1),(346,1),(368,1),(407,1),(421,1)}
       304:{2,3,6}:{(256,1),(257,1),(260,1),(346,1),(347,1)}
       305:{3,4,6}:{(257,1),(258,1),(261,1),(347,1),(348,1)}
       306:{4,5}:{(258,1),(348,1)}
       307:{1,3,5,7}:{(259,1),(260,1),(264,1),(267,1),(346,1),(350,1),(351,1),(411,1)}
       308:{2,4,7}:{(260,1),(261,1),(265,1),(347,1),(351,1)}
       309:{3,4,5,7}:{(261,1),(262,1),(266,1),(269,1),(348,1),(352,1),(353,1),(358,1),(413,1)}
       310:{4,6}:{(262,1),(263,1)}
       311:{3,5,6,7}:{(263,1),(271,1),(354,1),(362,1),(413,1),(453,1)}
       312:{2,3,5}:{(264,1),(272,1),(355,1),(363,1),(418,1)}
       313:{1,4}:{(264,1),(265,1),(355,1)}
       314:{2,4,5}:{(265,1),(266,1),(274,1),(356,1),(357,1)}
       315:{3,4,6}:{(266,1),(275,1),(357,1),(358,1),(452,1)}
       316:{2,3,7}:{(267,1),(272,1),(359,1),(446,1)}
       317:{1,3,4,7}:{(267,1),(268,1),(273,1),(280,1),(339,1),(351,1),(359,1),(360,1),(367,1),(414,1),(420,1),(440,1),(446,1)}
       318:{2,3,5,7}:{(268,1),(269,1),(274,1),(281,1),(340,1),(352,1),(360,1),(361,1)}
       319:{3,6}:{(269,1),(270,1)}
       320:{2,4,6,7}:{(270,1),(271,1),(276,1),(283,1),(342,1),(354,1),(362,1),(369,1),(408,1)}
       321:{2,4,6}:{(272,1),(273,1),(277,1),(355,1),(359,1),(363,1),(366,1),(402,1),(421,1),(439,1)}
       322:{1,3,5}:{(273,1),(274,1),(284,1),(343,1),(356,1),(363,1),(411,1),(418,1),(441,1)}
       323:{2,3,5,6}:{(274,1),(275,1),(279,1),(285,1),(344,1),(357,1),(361,1),(364,1),(365,1),(404,1),(412,1)}
       324:{3,5,7}:{(275,1),(276,1),(358,1),(362,1),(446,1)}
       325:{2,5}:{(277,1),(278,1),(366,1)}
       326:{1,3,6}:{(278,1),(279,1),(287,1),(366,1),(367,1)}
       327:{2,3,7}:{(279,1),(288,1),(367,1),(446,1)}
       328:{1,5,7}:{(280,1),(281,1),(284,1),(368,1)}
       329:{2,6}:{(281,1),(282,1),(368,1)}
       330:{1,3,6,7}:{(282,1),(283,1),(286,1),(362,1),(369,1)}
       331:{1,5,6}:{(284,1),(285,1),(287,1),(368,1),(370,1)}
       332:{2,5,7}:{(285,1),(286,1),(288,1),(369,1),(370,1)}
       333:{1,4,7}:{(287,1),(288,1),(367,1),(370,1)}
       334:{1,3}:{(289,1),(290,1),(371,1)}
       335:{2,3,4}:{(290,1),(292,1),(372,1),(373,1),(391,1)}
       336:{1,4}:{(291,1),(292,1)}
       337:{2,4,5}:{(292,1),(293,1),(300,1),(373,1),(374,1),(375,1),(424,1)}
       338:{1,3,4,6}:{(293,1),(301,1),(315,1),(375,1),(376,1),(393,1),(425,1),(436,1)}
       339:{1,4,7}:{(294,1),(295,1),(299,1),(377,1)}
       340:{2,5,7}:{(295,1),(296,1),(300,1),(377,1),(378,1)}
       341:{1,3,6}:{(296,1),(297,1),(319,1),(378,1)}
       342:{1,4,6,7}:{(297,1),(298,1),(302,1),(320,1),(379,1),(401,1)}
       343:{1,5}:{(299,1),(300,1)}
       344:{2,5,6}:{(300,1),(301,1),(375,1),(378,1),(380,1),(381,1)}
       345:{1,3,5,7}:{(301,1),(302,1),(324,1),(376,1),(379,1),(381,1)}
       346:{1,3,6}:{(303,1),(304,1),(307,1),(382,1),(383,1)}
       347:{2,4,6}:{(304,1),(305,1),(308,1),(383,1),(384,1)}
       348:{3,5}:{(305,1),(306,1),(384,1)}
       349:{4,5,6}:{(306,1),(310,1),(385,1),(386,1)}
       350:{2,3,5,7}:{(307,1),(312,1),(316,1),(382,1),(387,1),(395,1),(430,1),(433,1)}
       351:{1,4,7}:{(307,1),(308,1),(313,1),(383,1),(387,1)}
       352:{2,4,5,7}:{(308,1),(309,1),(314,1),(318,1),(384,1),(388,1),(389,1),(394,1),(432,1)}
       353:{3,4,6}:{(309,1),(310,1),(319,1),(385,1),(389,1)}
       354:{4,6,7}:{(310,1),(311,1),(386,1),(454,1)}
       355:{2,4}:{(312,1),(313,1),(391,1)}
       356:{1,4,5}:{(313,1),(314,1),(322,1),(392,1),(393,1),(448,1)}
       357:{2,4,6}:{(314,1),(315,1),(323,1),(393,1),(394,1)}
       358:{3,4,7}:{(315,1),(324,1),(394,1),(454,1)}
       359:{2,4,7}:{(316,1),(317,1),(321,1),(395,1),(400,1),(447,1)}
       360:{1,3,5,7}:{(317,1),(318,1),(322,1),(328,1),(377,1),(388,1),(395,1),(396,1),(433,1)}
       361:{2,3,6}:{(318,1),(319,1),(329,1),(378,1),(389,1),(396,1)}
       362:{3,6,7}:{(319,1),(320,1),(324,1)}
       363:{2,5}:{(321,1),(322,1)}
       364:{1,3,5,6}:{(322,1),(323,1),(326,1),(331,1),(380,1),(393,1),(396,1),(398,1),(399,1),(425,1),(431,1),(436,1),(449,1)}
       365:{2,3,5,7}:{(323,1),(324,1),(327,1),(332,1),(381,1),(394,1),(397,1),(399,1),(426,1),(432,1)}
       366:{2,6}:{(325,1),(326,1),(400,1)}
       367:{1,3,7}:{(326,1),(327,1),(333,1),(400,1)}
       368:{1,6}:{(328,1),(329,1)}
       369:{2,6,7}:{(329,1),(330,1),(332,1),(401,1)}
       370:{1,5,7}:{(331,1),(332,1),(333,1),(401,1)}
       371:{2,3}:{(334,1),(402,1)}
       372:{1,3,4}:{(334,1),(335,1),(336,1),(402,1),(403,1)}
       373:{2,3,5}:{(335,1),(337,1),(403,1),(404,1),(418,1)}
       374:{1,4,5}:{(336,1),(337,1),(343,1),(403,1),(405,1)}
       375:{2,4,6}:{(337,1),(338,1),(344,1),(404,1),(405,1),(406,1),(439,1)}
       376:{1,3,4,7}:{(338,1),(345,1),(358,1),(406,1),(420,1),(440,1),(446,1)}
       377:{1,5,7}:{(339,1),(340,1),(343,1),(407,1)}
       378:{2,6}:{(340,1),(341,1),(407,1)}
       379:{1,3,6,7}:{(341,1),(342,1),(345,1),(362,1),(408,1)}
       380:{1,5,6}:{(343,1),(344,1),(405,1),(407,1),(409,1)}
       381:{2,5,7}:{(344,1),(345,1),(406,1),(408,1),(409,1)}
       382:{2,3,6}:{(346,1),(350,1),(410,1),(421,1),(444,1)}
       383:{1,4,6}:{(346,1),(347,1),(351,1),(410,1),(411,1)}
       384:{2,5}:{(347,1),(348,1),(411,1)}
       385:{3,5,6}:{(348,1),(349,1),(353,1),(412,1),(413,1)}
       386:{4,5,7}:{(349,1),(354,1),(413,1)}
       387:{2,4,7}:{(350,1),(351,1),(355,1),(410,1),(414,1)}
       388:{1,4,5,7}:{(351,1),(352,1),(356,1),(360,1),(411,1),(415,1),(416,1),(420,1),(443,1)}
       389:{2,4,6}:{(352,1),(353,1),(361,1),(412,1),(416,1)}
       390:{3,4,6,7}:{(353,1),(354,1),(358,1),(362,1),(413,1),(417,1)}
       391:{3,4}:{(355,1),(418,1)}
       392:{2,4,5}:{(355,1),(356,1),(363,1),(418,1),(419,1)}
       393:{1,4,6}:{(356,1),(357,1),(364,1),(419,1),(420,1),(452,1)}
       394:{2,4,7}:{(357,1),(358,1),(365,1),(420,1)}
       395:{2,5,7}:{(359,1),(360,1),(363,1),(421,1)}
       396:{1,3,6}:{(360,1),(361,1),(368,1),(407,1),(416,1),(421,1),(444,1)}
       397:{2,3,6,7}:{(361,1),(362,1),(365,1),(369,1),(408,1),(417,1),(422,1)}
       398:{2,5,6}:{(363,1),(364,1),(366,1),(419,1),(421,1),(423,1),(439,1)}
       399:{1,3,5,7}:{(364,1),(365,1),(367,1),(370,1),(409,1),(420,1),(422,1),(423,1),(440,1),(443,1),(446,1),(453,1)}
       400:{2,7}:{(366,1),(367,1)}
       401:{1,6,7}:{(368,1),(369,1),(370,1)}
       402:{2,4}:{(371,1),(372,1),(424,1)}
       403:{1,3,5}:{(372,1),(373,1),(374,1),(424,1),(425,1)}
       404:{2,3,6}:{(373,1),(375,1),(425,1),(426,1),(436,1)}
       405:{1,4,6}:{(374,1),(375,1),(380,1),(425,1),(427,1)}
       406:{2,4,7}:{(375,1),(376,1),(381,1),(426,1),(427,1),(447,1)}
       407:{1,6}:{(377,1),(378,1)}
       408:{2,6,7}:{(378,1),(379,1),(381,1),(428,1)}
       409:{1,5,7}:{(380,1),(381,1),(427,1),(428,1)}
       410:{2,4,6}:{(382,1),(383,1),(387,1),(429,1),(430,1)}
       411:{1,5}:{(383,1),(384,1),(430,1)}
       412:{2,5,6}:{(384,1),(385,1),(389,1),(431,1),(432,1)}
       413:{3,5,7}:{(385,1),(386,1),(390,1),(432,1)}
       414:{3,4,7}:{(387,1),(391,1),(429,1),(433,1),(454,1)}
       415:{2,4,5,7}:{(387,1),(388,1),(392,1),(395,1),(430,1),(433,1),(434,1),(437,1),(448,1),(450,1),(454,1)}
       416:{1,4,6}:{(388,1),(389,1),(396,1),(431,1),(434,1)}
       417:{2,4,6,7}:{(389,1),(390,1),(394,1),(397,1),(432,1),(435,1)}
       418:{3,5}:{(391,1),(392,1),(436,1)}
       419:{2,4,6}:{(392,1),(393,1),(398,1),(436,1),(437,1)}
       420:{1,4,7}:{(393,1),(394,1),(399,1),(437,1),(454,1)}
       421:{2,6}:{(395,1),(396,1)}
       422:{1,3,6,7}:{(396,1),(397,1),(399,1),(401,1),(428,1),(435,1),(438,1),(451,1)}
       423:{2,5,7}:{(398,1),(399,1),(400,1),(437,1),(438,1),(447,1)}
       424:{2,5}:{(402,1),(403,1),(439,1)}
       425:{1,3,6}:{(403,1),(404,1),(405,1),(439,1),(440,1)}
       426:{2,3,7}:{(404,1),(406,1),(440,1),(446,1)}
       427:{1,4,7}:{(405,1),(406,1),(409,1),(440,1)}
       428:{1,6,7}:{(407,1),(408,1),(409,1)}
       429:{3,4,6}:{(410,1),(414,1),(441,1),(444,1),(452,1)}
       430:{2,5}:{(410,1),(411,1),(441,1)}
       431:{1,5,6}:{(411,1),(412,1),(416,1),(442,1),(443,1)}
       432:{2,5,7}:{(412,1),(413,1),(417,1),(443,1)}
       433:{3,5,7}:{(414,1),(415,1),(418,1),(441,1),(444,1),(446,1)}
       434:{2,4,6}:{(415,1),(416,1),(421,1),(442,1),(444,1),(452,1)}
       435:{1,4,6,7}:{(416,1),(417,1),(420,1),(422,1),(443,1),(445,1)}
       436:{3,6}:{(418,1),(419,1),(446,1)}
       437:{2,4,7}:{(419,1),(420,1),(423,1),(446,1)}
       438:{2,6,7}:{(421,1),(422,1),(423,1)}
       439:{2,6}:{(424,1),(425,1),(447,1)}
       440:{1,3,7}:{(425,1),(426,1),(427,1),(447,1)}
       441:{3,5}:{(429,1),(430,1),(448,1)}
       442:{2,5,6}:{(430,1),(431,1),(434,1),(449,1),(450,1)}
       443:{1,5,7}:{(431,1),(432,1),(435,1),(450,1)}
       444:{3,6}:{(433,1),(434,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(438,1),(450,1),(451,1),(454,1)}
       446:{3,7}:{(436,1),(437,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,5,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{3,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 416 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 417 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 418 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 419 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(14,1),(37,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(50,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        13:{1,2,7}:{(5,1),(24,1),(53,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(30,1),(31,1),(60,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(12,1),(28,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,6}:{(12,1),(14,1),(33,1),(37,1),(38,1),(71,1)}
        24:{1,3,7}:{(12,1),(13,1),(34,1),(38,1),(101,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(37,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        29:{1,2,7}:{(17,1),(45,1),(96,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,4,6}:{(20,1),(21,1),(23,1),(44,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,3,7}:{(20,1),(24,1),(45,1),(51,1),(53,1),(81,1),(96,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(50,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,5}:{(23,1),(50,1)}
        38:{1,4,7}:{(23,1),(24,1),(51,1),(55,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(54,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,4,6}:{(28,1),(30,1),(33,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(28,1),(29,1),(34,1),(61,1),(63,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(60,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(33,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,5}:{(33,1),(37,1),(60,1),(64,1)}
        51:{2,4,7}:{(33,1),(34,1),(38,1),(61,1),(65,1),(68,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(67,1),(69,1),(86,1),(90,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(39,1),(67,1),(70,1),(71,1)}
        55:{1,5,7}:{(37,1),(38,1),(68,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(70,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,5}:{(44,1),(50,1)}
        61:{1,4,7}:{(44,1),(45,1),(51,1),(76,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(75,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,5}:{(48,1),(50,1),(78,1)}
        65:{3,4,7}:{(48,1),(51,1),(80,1),(81,1),(98,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,6}:{(50,1),(52,1),(54,1),(75,1),(79,1),(82,1),(83,1)}
        68:{2,5,7}:{(50,1),(51,1),(55,1),(76,1),(80,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        70:{1,5,7}:{(54,1),(56,1),(82,1),(84,1)}
        71:{1,6}:{(55,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(62,1),(67,1),(88,1),(89,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(88,1)}
        78:{4,5}:{(64,1),(90,1)}
        79:{3,5,6}:{(64,1),(66,1),(67,1),(90,1),(92,1),(93,1),(103,1)}
        80:{3,5,7}:{(64,1),(65,1),(68,1),(91,1),(93,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,5,7}:{(67,1),(69,1),(70,1),(88,1),(92,1),(94,1)}
        83:{2,6}:{(68,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,5,7}:{(75,1),(77,1),(82,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(79,1),(98,1)}
        91:{4,5,7}:{(78,1),(80,1),(98,1),(99,1),(104,1)}
        92:{3,5,7}:{(79,1),(81,1),(82,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(80,1),(83,1),(99,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(92,1)}
        99:{4,6}:{(91,1),(93,1),(103,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 420 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 421 :   0:{1,2,5,6}:{(1,1),(2,1),(3,1),(60,1),(116,1),(133,1),(141,1),(199,1),(209,1),(290,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(35,1),(78,1),(97,1),(98,1),(151,1),(244,1),(246,1),(329,1),(388,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(37,1),(178,1),(250,1),(266,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(96,1),(160,1),(181,1),(255,1)}
         4:{1,2,5,6}:{(12,1),(13,1),(14,1),(68,1),(108,1),(139,1),(193,1),(201,1),(209,1),(233,1)}
         5:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(22,1),(49,1),(52,1),(60,1),(108,1),(126,1),(127,1),(141,1),(201,1),(209,1),(217,1),(293,1),(306,1),(370,1),(371,1)}
         6:{1,4,6}:{(1,1),(15,1),(17,1),(19,1),(288,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(16,1),(19,1),(20,1),(23,1),(65,1),(117,1),(200,1)}
         8:{1,2,4,5}:{(2,1),(17,1),(21,1),(60,1),(66,1),(138,1),(199,1),(213,1),(229,1),(234,1),(288,1)}
         9:{1,3,6}:{(2,1),(21,1),(22,1),(23,1),(293,1)}
        10:{1,2,4,7}:{(2,1),(3,1),(19,1),(23,1),(64,1),(225,1),(294,1),(309,1)}
        11:{1,2,6,7}:{(3,1),(20,1),(141,1),(228,1),(290,1),(300,1)}
        12:{1,3,5,6}:{(4,1),(5,1),(24,1),(25,1),(27,1),(42,1),(71,1),(95,1),(153,1),(154,1),(185,1),(187,1),(277,1),(351,1)}
        13:{1,2,4,6}:{(4,1),(24,1),(26,1),(27,1),(28,1),(73,1),(237,1),(250,1),(318,1)}
        14:{1,2,5,7}:{(4,1),(25,1),(28,1),(29,1),(104,1),(152,1),(240,1),(255,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(30,1),(31,1),(32,1),(263,1),(395,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(25,1),(32,1),(33,1),(43,1),(79,1),(84,1),(89,1),(96,1),(152,1),(255,1),(332,1),(391,1)}
        17:{1,4,5}:{(6,1),(30,1),(35,1),(151,1),(388,1)}
        18:{1,3,4,6}:{(6,1),(9,1),(31,1),(35,1),(37,1),(38,1),(40,1),(97,1)}
        19:{1,4,7}:{(6,1),(7,1),(32,1)}
        20:{1,3,6,7}:{(7,1),(11,1),(33,1),(39,1),(97,1),(246,1),(329,1)}
        21:{1,3,5}:{(8,1),(9,1),(40,1),(41,1),(258,1),(278,1)}
        22:{2,3,6}:{(9,1),(37,1),(41,1),(42,1),(43,1),(266,1)}
        23:{1,3,7}:{(9,1),(10,1),(43,1),(332,1)}
        24:{1,4,6}:{(12,1),(15,1),(44,1),(46,1),(231,1)}
        25:{1,3,5,7}:{(12,1),(14,1),(16,1),(46,1),(47,1),(50,1),(69,1),(113,1),(140,1)}
        26:{1,2,4,5}:{(13,1),(44,1),(48,1),(108,1),(114,1),(139,1),(198,1),(213,1),(231,1),(286,1),(291,1)}
        27:{1,3,6}:{(13,1),(48,1),(49,1),(50,1),(293,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(50,1),(112,1),(282,1),(294,1),(354,1)}
        29:{1,2,6,7}:{(14,1),(47,1),(201,1),(233,1),(285,1),(300,1)}
        30:{2,4,5}:{(15,1),(17,1),(44,1),(52,1),(60,1),(108,1),(371,1),(412,1)}
        31:{3,4,6}:{(15,1),(52,1),(55,1),(126,1),(293,1),(301,1)}
        32:{2,4,7}:{(15,1),(16,1),(19,1),(46,1),(55,1),(410,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(47,1),(56,1),(126,1),(141,1),(201,1),(300,1),(306,1),(365,1)}
        34:{1,4,5,6}:{(17,1),(51,1),(57,1),(58,1),(62,1),(193,1),(206,1),(304,1),(312,1),(377,1)}
        35:{1,3,5}:{(17,1),(18,1),(52,1),(60,1)}
        36:{1,4,5,7}:{(17,1),(19,1),(53,1),(61,1),(62,1),(65,1),(200,1)}
        37:{2,4,6}:{(18,1),(22,1),(60,1),(63,1),(64,1),(66,1),(141,1)}
        38:{1,3,4,7}:{(18,1),(19,1),(23,1),(55,1),(61,1),(64,1)}
        39:{1,4,6,7}:{(19,1),(20,1),(56,1),(62,1),(65,1),(362,1)}
        40:{1,3,4}:{(21,1),(66,1),(288,1),(301,1)}
        41:{2,3,5}:{(21,1),(22,1),(60,1),(66,1),(67,1),(229,1),(235,1)}
        42:{1,3,6}:{(22,1),(63,1),(67,1),(68,1),(69,1)}
        43:{2,3,7}:{(22,1),(23,1),(64,1),(69,1),(309,1)}
        44:{1,4,5}:{(24,1),(30,1),(71,1),(95,1),(351,1)}
        45:{1,3,4,6}:{(24,1),(27,1),(31,1),(71,1),(73,1),(74,1),(76,1),(153,1)}
        46:{1,4,7}:{(24,1),(25,1),(32,1)}
        47:{1,3,6,7}:{(25,1),(29,1),(33,1),(75,1),(153,1),(187,1),(277,1)}
        48:{1,3,5}:{(26,1),(27,1),(76,1),(77,1),(258,1),(330,1)}
        49:{2,3,6}:{(27,1),(73,1),(77,1),(78,1),(79,1),(318,1)}
        50:{1,3,7}:{(27,1),(28,1),(79,1),(332,1)}
        51:{2,4,5,6}:{(30,1),(34,1),(70,1),(80,1),(81,1),(85,1),(91,1),(147,1),(161,1),(250,1),(261,1),(262,1),(335,1),(340,1),(392,1),(395,1)}
        52:{3,5}:{(30,1),(31,1)}
        53:{2,4,5,7}:{(30,1),(32,1),(36,1),(72,1),(84,1),(85,1),(89,1),(96,1),(152,1),(176,1)}
        54:{2,3,4,6}:{(31,1),(37,1),(73,1),(83,1),(86,1),(87,1),(101,1),(157,1),(161,1),(172,1),(174,1),(177,1),(236,1),(263,1),(331,1),(341,1),(344,1),(381,1)}
        55:{3,4,7}:{(31,1),(32,1),(84,1),(332,1)}
        56:{2,4,6,7}:{(32,1),(33,1),(39,1),(75,1),(85,1),(88,1),(89,1),(341,1)}
        57:{1,3,5,6}:{(34,1),(35,1),(80,1),(90,1),(91,1),(92,1),(97,1),(346,1),(399,1)}
        58:{1,4,5,7}:{(34,1),(81,1),(92,1),(93,1),(240,1),(251,1),(334,1)}
        59:{1,3,4,5}:{(35,1),(40,1),(82,1),(90,1),(94,1),(167,1),(183,1),(258,1),(275,1),(346,1)}
        60:{2,5}:{(35,1),(37,1),(95,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(38,1),(84,1),(96,1),(97,1)}
        62:{1,4,6}:{(36,1),(85,1),(97,1),(98,1),(246,1)}
        63:{1,4,6}:{(37,1),(42,1),(95,1),(100,1),(102,1),(187,1)}
        64:{2,4,7}:{(37,1),(38,1),(43,1),(96,1),(100,1)}
        65:{1,5,7}:{(39,1),(89,1),(98,1),(388,1)}
        66:{2,4}:{(40,1),(41,1),(102,1)}
        67:{1,3,5}:{(41,1),(42,1),(95,1),(102,1),(103,1),(190,1)}
        68:{1,2,6}:{(42,1),(103,1),(104,1),(266,1)}
        69:{1,3,7}:{(42,1),(43,1),(100,1),(104,1)}
        70:{1,4,5,6}:{(44,1),(51,1),(105,1),(106,1),(110,1),(133,1),(206,1),(304,1),(357,1),(406,1)}
        71:{1,3,5}:{(44,1),(45,1),(52,1),(108,1)}
        72:{1,4,5,7}:{(44,1),(46,1),(53,1),(109,1),(110,1),(113,1),(140,1)}
        73:{2,4,6}:{(45,1),(49,1),(108,1),(111,1),(112,1),(114,1),(201,1)}
        74:{1,3,4,7}:{(45,1),(46,1),(50,1),(55,1),(109,1),(112,1)}
        75:{1,4,6,7}:{(46,1),(47,1),(56,1),(110,1),(113,1),(317,1)}
        76:{1,3,4}:{(48,1),(114,1),(231,1),(301,1)}
        77:{2,3,5}:{(48,1),(49,1),(108,1),(114,1),(115,1),(286,1),(292,1)}
        78:{1,3,6}:{(49,1),(111,1),(115,1),(116,1),(117,1)}
        79:{2,3,7}:{(49,1),(50,1),(112,1),(117,1),(354,1)}
        80:{3,5,6}:{(51,1),(52,1),(118,1),(120,1),(126,1),(293,1),(363,1),(408,1)}
        81:{2,4,5,7}:{(51,1),(58,1),(106,1),(120,1),(121,1),(134,1),(194,1),(207,1),(294,1),(296,1),(297,1),(366,1),(410,1)}
        82:{3,4,5}:{(52,1),(118,1),(122,1),(301,1),(363,1),(412,1)}
        83:{2,3,5}:{(52,1),(54,1),(60,1),(108,1),(122,1),(124,1),(363,1),(371,1),(374,1),(403,1)}
        84:{3,5,7}:{(52,1),(53,1),(55,1),(126,1)}
        85:{2,4,6}:{(53,1),(62,1),(110,1),(126,1),(127,1),(141,1),(201,1),(220,1)}
        86:{1,3,4,6}:{(54,1),(63,1),(111,1),(124,1),(128,1),(129,1),(142,1),(144,1),(202,1),(204,1),(206,1),(219,1),(222,1),(231,1),(279,1),(288,1),(293,1),(301,1),(317,1),(362,1),(369,1),(372,1),(401,1)}
        87:{2,3,4,7}:{(54,1),(55,1),(64,1),(112,1),(125,1),(129,1),(207,1),(221,1),(223,1),(280,1),(305,1),(364,1),(375,1),(404,1)}
        88:{3,4,6,7}:{(55,1),(56,1),(126,1),(130,1),(220,1),(365,1),(369,1),(410,1)}
        89:{2,5,7}:{(56,1),(65,1),(113,1),(127,1),(130,1),(371,1)}
        90:{1,3,4,6}:{(57,1),(59,1),(118,1),(131,1),(132,1),(206,1),(222,1),(293,1)}
        91:{2,5,6}:{(57,1),(60,1),(131,1),(133,1),(134,1),(141,1),(374,1),(414,1)}
        92:{1,3,5,7}:{(57,1),(58,1),(120,1),(132,1),(134,1),(135,1)}
        93:{1,4,6,7}:{(58,1),(62,1),(121,1),(135,1),(136,1),(285,1),(377,1)}
        94:{2,4,5}:{(59,1),(60,1),(66,1),(131,1),(137,1),(138,1),(229,1),(316,1),(374,1)}
        95:{1,5}:{(60,1),(63,1)}
        96:{2,5,7}:{(60,1),(61,1),(64,1),(140,1),(141,1)}
        97:{1,3,6}:{(61,1),(62,1),(126,1),(141,1)}
        98:{1,5,6}:{(62,1),(65,1),(127,1)}
        99:{1,2,4,6}:{(63,1),(68,1),(128,1),(139,1),(142,1),(143,1),(145,1),(231,1),(233,1),(291,1),(317,1),(352,1),(401,1)}
       100:{1,4,7}:{(63,1),(64,1),(69,1),(140,1)}
       101:{2,3,4}:{(66,1),(137,1),(144,1),(235,1),(301,1),(316,1)}
       102:{1,4}:{(66,1),(67,1)}
       103:{1,2,5}:{(67,1),(68,1),(145,1),(229,1)}
       104:{1,2,7}:{(68,1),(69,1),(309,1)}
       105:{1,3,5,6}:{(70,1),(71,1),(80,1),(146,1),(147,1),(148,1),(153,1),(383,1),(418,1)}
       106:{1,4,5,7}:{(70,1),(81,1),(148,1),(149,1),(181,1),(251,1),(334,1)}
       107:{1,3,4,5}:{(71,1),(76,1),(82,1),(146,1),(150,1),(167,1),(242,1),(258,1),(327,1),(383,1)}
       108:{2,5}:{(71,1),(73,1),(151,1)}
       109:{1,3,5,7}:{(71,1),(72,1),(74,1),(84,1),(152,1),(153,1)}
       110:{1,4,6}:{(72,1),(85,1),(153,1),(154,1),(187,1)}
       111:{1,4,6}:{(73,1),(78,1),(151,1),(156,1),(158,1),(246,1)}
       112:{2,4,7}:{(73,1),(74,1),(79,1),(152,1),(156,1)}
       113:{1,5,7}:{(75,1),(89,1),(154,1),(351,1)}
       114:{2,4}:{(76,1),(77,1),(158,1)}
       115:{1,3,5}:{(77,1),(78,1),(151,1),(158,1),(159,1),(249,1)}
       116:{1,2,6}:{(78,1),(159,1),(160,1),(318,1)}
       117:{1,3,7}:{(78,1),(79,1),(156,1),(160,1)}
       118:{3,4,6}:{(80,1),(82,1),(161,1),(162,1),(395,1)}
       119:{2,3,5,6}:{(80,1),(83,1),(91,1),(147,1),(161,1),(163,1),(164,1),(172,1),(177,1),(236,1),(261,1)}
       120:{3,5,7}:{(80,1),(81,1),(162,1),(165,1),(332,1)}
       121:{2,4,6,7}:{(81,1),(85,1),(93,1),(149,1),(165,1),(166,1),(182,1),(241,1),(257,1),(392,1)}
       122:{2,4,5}:{(82,1),(83,1),(161,1),(167,1),(263,1)}
       123:{3,4,5,7}:{(82,1),(84,1),(162,1),(168,1),(169,1),(176,1),(253,1),(338,1),(389,1),(394,1),(421,1)}
       124:{1,3,5}:{(83,1),(86,1),(95,1),(151,1),(167,1),(170,1),(258,1),(351,1),(388,1),(394,1),(396,1),(415,1)}
       125:{2,3,5,7}:{(83,1),(84,1),(87,1),(96,1),(152,1),(168,1),(171,1),(172,1),(389,1),(398,1),(417,1)}
       126:{3,6}:{(84,1),(85,1)}
       127:{2,5,6}:{(85,1),(89,1),(98,1),(154,1),(173,1)}
       128:{2,4,6}:{(86,1),(170,1),(174,1),(175,1),(189,1),(248,1),(263,1),(265,1),(266,1),(318,1)}
       129:{1,3,4,7}:{(86,1),(87,1),(100,1),(156,1),(171,1),(175,1),(188,1),(247,1),(251,1),(267,1),(276,1),(319,1),(328,1),(332,1),(338,1),(397,1),(416,1)}
       130:{3,5,7}:{(88,1),(89,1),(173,1),(176,1),(394,1)}
       131:{2,4,6}:{(90,1),(91,1),(94,1),(177,1),(178,1),(179,1),(266,1)}
       132:{1,3,4,7}:{(90,1),(92,1),(162,1),(179,1),(251,1),(267,1),(332,1)}
       133:{1,5,6}:{(91,1),(95,1),(178,1),(181,1),(187,1),(396,1),(422,1)}
       134:{2,5,7}:{(91,1),(92,1),(179,1),(181,1),(182,1)}
       135:{1,3,6,7}:{(92,1),(93,1),(97,1),(165,1),(182,1),(399,1)}
       136:{1,5,6,7}:{(93,1),(98,1),(166,1),(334,1),(400,1)}
       137:{2,3,5}:{(94,1),(101,1),(177,1),(183,1),(258,1)}
       138:{1,4,5}:{(94,1),(95,1),(102,1),(178,1),(183,1),(350,1),(396,1)}
       139:{1,2,5}:{(95,1),(99,1),(170,1),(185,1),(351,1),(415,1)}
       140:{1,5,7}:{(95,1),(96,1),(100,1),(187,1)}
       141:{2,6}:{(96,1),(97,1),(187,1)}
       142:{1,3,6}:{(99,1),(174,1),(185,1),(188,1),(190,1),(330,1)}
       143:{1,2,4,7}:{(99,1),(100,1),(104,1),(175,1),(186,1),(188,1),(276,1),(380,1),(416,1)}
       144:{1,3,4}:{(101,1),(102,1),(183,1),(189,1),(190,1),(278,1),(350,1)}
       145:{1,2,4}:{(102,1),(103,1),(189,1),(190,1)}
       146:{1,3,4,6}:{(105,1),(107,1),(118,1),(191,1),(192,1),(206,1),(279,1),(293,1)}
       147:{2,5,6}:{(105,1),(108,1),(191,1),(193,1),(194,1),(201,1),(403,1),(424,1)}
       148:{1,3,5,7}:{(105,1),(106,1),(120,1),(192,1),(194,1),(195,1)}
       149:{1,4,6,7}:{(106,1),(110,1),(121,1),(195,1),(196,1),(228,1),(406,1)}
       150:{2,4,5}:{(107,1),(108,1),(114,1),(191,1),(197,1),(198,1),(286,1),(361,1),(403,1)}
       151:{1,5}:{(108,1),(111,1)}
       152:{2,5,7}:{(108,1),(109,1),(112,1),(200,1),(201,1)}
       153:{1,3,6}:{(109,1),(110,1),(126,1),(201,1)}
       154:{1,5,6}:{(110,1),(113,1),(127,1)}
       155:{1,2,4,6}:{(111,1),(116,1),(128,1),(199,1),(202,1),(203,1),(205,1),(234,1),(288,1),(290,1),(307,1),(362,1),(372,1)}
       156:{1,4,7}:{(111,1),(112,1),(117,1),(200,1)}
       157:{2,3,4}:{(114,1),(197,1),(204,1),(292,1),(301,1),(361,1)}
       158:{1,4}:{(114,1),(115,1)}
       159:{1,2,5}:{(115,1),(116,1),(205,1),(286,1)}
       160:{1,2,7}:{(116,1),(117,1),(354,1)}
       161:{2,4,6}:{(118,1),(119,1),(122,1),(206,1),(207,1)}
       162:{3,4,7}:{(118,1),(120,1),(207,1),(410,1)}
       163:{1,3,5,6}:{(119,1),(124,1),(133,1),(193,1),(206,1),(209,1),(210,1),(219,1),(222,1),(279,1),(293,1),(304,1),(370,1)}
       164:{2,3,5,7}:{(119,1),(120,1),(134,1),(194,1),(207,1),(210,1),(211,1),(223,1),(280,1),(296,1)}
       165:{3,6,7}:{(120,1),(121,1),(126,1),(408,1)}
       166:{2,5,6,7}:{(121,1),(127,1),(136,1),(196,1),(212,1),(296,1),(366,1),(411,1)}
       167:{1,4,5}:{(122,1),(124,1),(206,1),(213,1),(231,1),(288,1),(412,1)}
       168:{2,4,5,7}:{(122,1),(123,1),(125,1),(207,1),(214,1),(215,1),(296,1),(305,1),(371,1)}
       169:{3,4,6}:{(123,1),(126,1),(215,1),(216,1),(220,1),(408,1),(425,1)}
       170:{2,5}:{(124,1),(128,1)}
       171:{1,3,5,7}:{(124,1),(125,1),(129,1),(140,1),(200,1),(214,1),(218,1),(219,1),(302,1),(413,1),(423,1)}
       172:{2,3,6}:{(125,1),(126,1),(141,1),(201,1),(215,1),(219,1),(408,1),(414,1),(424,1)}
       173:{3,5,6}:{(126,1),(127,1),(130,1),(220,1)}
       174:{2,3,6}:{(128,1),(142,1),(202,1),(217,1),(221,1),(235,1),(292,1),(293,1)}
       175:{2,4,7}:{(128,1),(129,1),(218,1),(221,1),(309,1),(354,1)}
       176:{4,5,7}:{(130,1),(220,1),(410,1),(412,1)}
       177:{2,3,6}:{(131,1),(137,1),(222,1),(223,1),(293,1)}
       178:{1,4,6}:{(131,1),(133,1),(138,1),(222,1),(225,1)}
       179:{2,4,7}:{(131,1),(132,1),(134,1),(223,1),(225,1),(309,1)}
       180:{1,2,5,6}:{(133,1),(139,1),(209,1),(224,1),(226,1),(227,1),(233,1),(352,1),(374,1),(414,1)}
       181:{1,5,7}:{(133,1),(134,1),(225,1),(228,1)}
       182:{2,6,7}:{(134,1),(135,1),(141,1),(228,1),(414,1)}
       183:{1,3,5}:{(137,1),(138,1),(144,1),(222,1),(229,1)}
       184:{1,2,4,5}:{(138,1),(139,1),(145,1),(213,1),(224,1),(229,1),(230,1),(231,1),(312,1),(316,1),(374,1)}
       185:{1,3,5}:{(139,1),(142,1),(217,1),(231,1)}
       186:{1,2,5,7}:{(139,1),(140,1),(143,1),(218,1),(232,1),(233,1),(423,1)}
       187:{1,6}:{(140,1),(141,1)}
       188:{1,3,7}:{(142,1),(143,1),(221,1)}
       189:{2,4}:{(144,1),(229,1),(235,1)}
       190:{1,3}:{(145,1),(235,1)}
       191:{2,4,6}:{(146,1),(147,1),(150,1),(236,1),(237,1),(238,1),(318,1)}
       192:{1,3,4,7}:{(146,1),(148,1),(162,1),(238,1),(251,1),(319,1),(332,1)}
       193:{1,5,6}:{(147,1),(151,1),(237,1),(240,1),(246,1),(415,1),(426,1)}
       194:{2,5,7}:{(147,1),(148,1),(238,1),(240,1),(241,1)}
       195:{1,3,6,7}:{(148,1),(149,1),(153,1),(165,1),(241,1),(418,1)}
       196:{1,5,6,7}:{(149,1),(154,1),(166,1),(334,1),(419,1)}
       197:{2,3,5}:{(150,1),(157,1),(236,1),(242,1),(258,1)}
       198:{1,4,5}:{(150,1),(151,1),(158,1),(237,1),(242,1),(387,1),(415,1)}
       199:{1,2,5}:{(151,1),(155,1),(170,1),(244,1),(388,1),(396,1)}
       200:{1,5,7}:{(151,1),(152,1),(156,1),(246,1)}
       201:{2,6}:{(152,1),(153,1),(246,1)}
       202:{1,3,6}:{(155,1),(174,1),(244,1),(247,1),(249,1),(278,1)}
       203:{1,2,4,7}:{(155,1),(156,1),(160,1),(175,1),(245,1),(247,1),(328,1),(343,1),(397,1)}
       204:{1,3,4}:{(157,1),(158,1),(242,1),(248,1),(249,1),(330,1),(387,1)}
       205:{1,2,4}:{(158,1),(159,1),(248,1),(249,1)}
       206:{1,4,6}:{(161,1),(163,1),(167,1),(250,1),(251,1),(395,1)}
       207:{2,4,7}:{(161,1),(162,1),(164,1),(251,1)}
       208:{3,4,6,7}:{(162,1),(165,1),(169,1),(252,1),(253,1),(257,1)}
       209:{2,5,6}:{(163,1),(170,1),(250,1),(255,1),(265,1),(266,1),(318,1)}
       210:{1,3,5,7}:{(163,1),(164,1),(181,1),(240,1),(251,1),(255,1),(256,1),(267,1),(319,1),(332,1),(334,1),(391,1)}
       211:{2,3,6,7}:{(164,1),(165,1),(172,1),(182,1),(241,1),(252,1),(256,1)}
       212:{3,5,6,7}:{(165,1),(166,1),(173,1),(253,1),(257,1),(391,1),(420,1)}
       213:{2,4,5}:{(167,1),(170,1),(250,1),(258,1),(263,1)}
       214:{1,4,5,7}:{(167,1),(168,1),(171,1),(251,1),(259,1),(260,1),(276,1),(328,1),(334,1),(351,1),(388,1)}
       215:{2,4,6}:{(168,1),(169,1),(172,1),(260,1),(261,1)}
       216:{3,5,6}:{(169,1),(253,1),(261,1),(262,1),(394,1)}
       217:{2,3,5}:{(170,1),(174,1),(185,1),(244,1),(258,1),(263,1)}
       218:{2,5,7}:{(170,1),(171,1),(175,1),(265,1)}
       219:{1,3,6}:{(171,1),(172,1),(187,1),(246,1),(260,1),(265,1),(339,1),(422,1),(426,1)}
       220:{4,6}:{(173,1),(176,1)}
       221:{2,3,7}:{(174,1),(175,1),(188,1),(247,1),(332,1)}
       222:{1,3,6}:{(177,1),(178,1),(183,1),(266,1),(267,1)}
       223:{2,3,7}:{(177,1),(179,1),(267,1),(332,1)}
       224:{1,2,4,6}:{(178,1),(180,1),(184,1),(250,1),(266,1),(268,1),(269,1),(270,1),(344,1)}
       225:{1,4,7}:{(178,1),(179,1),(181,1),(267,1)}
       226:{1,3,5,6}:{(180,1),(185,1),(254,1),(268,1),(270,1),(271,1),(277,1),(346,1),(351,1),(379,1),(399,1),(400,1),(415,1),(426,1)}
       227:{1,2,5,7}:{(180,1),(181,1),(255,1),(269,1),(271,1),(272,1),(380,1),(398,1)}
       228:{1,6,7}:{(181,1),(182,1),(187,1),(422,1)}
       229:{2,5}:{(183,1),(189,1),(266,1)}
       230:{1,3,5}:{(184,1),(190,1),(258,1),(268,1),(274,1),(275,1)}
       231:{1,4}:{(185,1),(263,1)}
       232:{1,3,5,7}:{(185,1),(186,1),(188,1),(264,1),(276,1),(277,1),(351,1)}
       233:{1,2,6}:{(186,1),(187,1),(265,1),(277,1),(426,1)}
       234:{1,2,4}:{(189,1),(273,1),(278,1),(350,1)}
       235:{2,3}:{(189,1),(190,1),(278,1)}
       236:{2,3,6}:{(191,1),(197,1),(279,1),(280,1),(293,1)}
       237:{1,4,6}:{(191,1),(193,1),(198,1),(279,1),(282,1)}
       238:{2,4,7}:{(191,1),(192,1),(194,1),(280,1),(282,1),(354,1)}
       239:{1,2,5,6}:{(193,1),(199,1),(209,1),(281,1),(283,1),(284,1),(290,1),(307,1),(403,1),(424,1)}
       240:{1,5,7}:{(193,1),(194,1),(282,1),(285,1)}
       241:{2,6,7}:{(194,1),(195,1),(201,1),(285,1),(424,1)}
       242:{1,3,5}:{(197,1),(198,1),(204,1),(279,1),(286,1)}
       243:{1,2,4,5}:{(198,1),(199,1),(205,1),(213,1),(281,1),(286,1),(287,1),(288,1),(357,1),(361,1),(403,1)}
       244:{1,3,5}:{(199,1),(202,1),(217,1),(288,1)}
       245:{1,2,5,7}:{(199,1),(200,1),(203,1),(218,1),(289,1),(290,1),(413,1)}
       246:{1,6}:{(200,1),(201,1)}
       247:{1,3,7}:{(202,1),(203,1),(221,1)}
       248:{2,4}:{(204,1),(286,1),(292,1)}
       249:{1,3}:{(205,1),(292,1)}
       250:{2,4,6}:{(206,1),(209,1),(213,1),(293,1),(294,1)}
       251:{1,4,7}:{(206,1),(207,1),(210,1),(294,1),(410,1)}
       252:{2,4,6,7}:{(207,1),(208,1),(211,1),(215,1),(295,1),(296,1)}
       253:{3,5,7}:{(208,1),(216,1),(296,1),(297,1)}
       254:{2,3,5,6}:{(209,1),(217,1),(226,1),(283,1),(293,1),(298,1),(299,1),(306,1),(308,1),(353,1),(363,1),(370,1),(371,1),(374,1),(403,1),(408,1),(411,1),(414,1),(424,1)}
       255:{2,5,7}:{(209,1),(210,1),(294,1),(300,1),(309,1),(354,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(219,1),(228,1),(285,1),(295,1),(300,1),(365,1)}
       257:{4,6,7}:{(212,1),(220,1),(297,1),(410,1),(425,1)}
       258:{3,5}:{(213,1),(293,1),(301,1)}
       259:{2,4,5,7}:{(213,1),(214,1),(218,1),(294,1),(302,1),(303,1),(305,1),(366,1),(371,1),(410,1),(412,1)}
       260:{1,4,6}:{(214,1),(215,1),(219,1),(303,1),(304,1)}
       261:{2,5,6}:{(215,1),(216,1),(296,1),(304,1),(371,1)}
       262:{4,5,6}:{(216,1),(220,1),(297,1),(412,1),(425,1)}
       263:{2,4}:{(217,1),(231,1),(288,1),(301,1)}
       264:{2,3,5,7}:{(217,1),(218,1),(221,1),(232,1),(289,1),(302,1),(305,1),(306,1),(371,1)}
       265:{2,6}:{(218,1),(219,1)}
       266:{2,6}:{(222,1),(229,1),(309,1)}
       267:{1,3,7}:{(222,1),(223,1),(225,1),(309,1)}
       268:{1,3,6}:{(224,1),(230,1),(293,1),(308,1),(311,1)}
       269:{1,2,4,7}:{(224,1),(225,1),(227,1),(294,1),(309,1),(311,1),(313,1),(375,1)}
       270:{1,4,6}:{(226,1),(231,1),(298,1),(312,1),(313,1)}
       271:{1,3,5,7}:{(226,1),(227,1),(299,1),(311,1),(313,1),(314,1),(378,1),(402,1),(423,1)}
       272:{1,2,6,7}:{(227,1),(228,1),(233,1),(300,1),(314,1),(414,1)}
       273:{1,2,5}:{(229,1),(234,1),(307,1),(315,1)}
       274:{2,3,5}:{(229,1),(230,1),(235,1),(308,1),(315,1),(316,1),(374,1)}
       275:{1,3,4}:{(230,1),(231,1),(301,1),(316,1)}
       276:{1,4,7}:{(231,1),(232,1),(305,1),(317,1)}
       277:{1,3,6}:{(232,1),(233,1),(306,1),(317,1)}
       278:{1,3}:{(234,1),(235,1)}
       279:{1,3,6}:{(236,1),(237,1),(242,1),(318,1),(319,1)}
       280:{2,3,7}:{(236,1),(238,1),(319,1),(332,1)}
       281:{1,2,4,6}:{(237,1),(239,1),(243,1),(250,1),(318,1),(320,1),(321,1),(322,1),(381,1)}
       282:{1,4,7}:{(237,1),(238,1),(240,1),(319,1)}
       283:{1,3,5,6}:{(239,1),(244,1),(254,1),(320,1),(322,1),(323,1),(329,1),(342,1),(383,1),(388,1),(396,1),(418,1),(419,1),(422,1)}
       284:{1,2,5,7}:{(239,1),(240,1),(255,1),(321,1),(323,1),(324,1),(343,1),(417,1)}
       285:{1,6,7}:{(240,1),(241,1),(246,1),(426,1)}
       286:{2,5}:{(242,1),(248,1),(318,1)}
       287:{1,3,5}:{(243,1),(249,1),(258,1),(320,1),(326,1),(327,1)}
       288:{1,4}:{(244,1),(263,1)}
       289:{1,3,5,7}:{(244,1),(245,1),(247,1),(264,1),(328,1),(329,1),(388,1)}
       290:{1,2,6}:{(245,1),(246,1),(265,1),(329,1),(422,1)}
       291:{1,2,4}:{(248,1),(325,1),(330,1),(387,1)}
       292:{2,3}:{(248,1),(249,1),(330,1)}
       293:{3,6}:{(250,1),(258,1),(332,1)}
       294:{2,4,7}:{(250,1),(251,1),(255,1),(332,1)}
       295:{1,4,6,7}:{(251,1),(252,1),(256,1),(260,1),(333,1),(334,1)}
       296:{2,5,7}:{(252,1),(253,1),(261,1),(334,1)}
       297:{4,5,7}:{(253,1),(257,1),(262,1)}
       298:{2,4,6}:{(254,1),(263,1),(270,1),(322,1),(331,1),(335,1),(336,1),(395,1)}
       299:{2,3,5,7}:{(254,1),(255,1),(271,1),(323,1),(332,1),(336,1),(337,1),(345,1),(382,1),(389,1),(391,1),(393,1),(398,1),(417,1)}
       300:{2,6,7}:{(255,1),(256,1),(265,1)}
       301:{3,4}:{(258,1),(263,1)}
       302:{3,5,7}:{(258,1),(259,1),(332,1),(338,1),(339,1),(394,1)}
       303:{2,4,6}:{(259,1),(260,1),(265,1),(339,1),(340,1),(395,1)}
       304:{1,5,6}:{(260,1),(261,1),(334,1),(340,1),(351,1),(388,1)}
       305:{2,4,7}:{(263,1),(264,1),(276,1),(328,1),(338,1),(341,1)}
       306:{2,3,6}:{(264,1),(265,1),(277,1),(329,1),(339,1),(341,1)}
       307:{1,2,6}:{(266,1),(273,1),(342,1),(343,1)}
       308:{2,3,6}:{(266,1),(268,1),(274,1),(342,1),(344,1),(345,1)}
       309:{2,7}:{(266,1),(267,1)}
       310:{1,3,4,6}:{(268,1),(270,1),(275,1),(331,1),(344,1),(346,1),(347,1),(399,1)}
       311:{1,3,7}:{(268,1),(269,1),(332,1),(345,1)}
       312:{1,4,5}:{(270,1),(335,1),(346,1),(351,1),(415,1)}
       313:{1,4,7}:{(270,1),(271,1),(336,1)}
       314:{1,3,6,7}:{(271,1),(272,1),(277,1),(337,1),(349,1),(399,1),(426,1)}
       315:{1,3,5}:{(273,1),(274,1),(278,1),(342,1),(350,1),(396,1)}
       316:{2,4}:{(274,1),(275,1),(350,1)}
       317:{1,4,6}:{(276,1),(277,1),(341,1),(351,1)}
       318:{2,6}:{(279,1),(286,1),(354,1)}
       319:{1,3,7}:{(279,1),(280,1),(282,1),(354,1)}
       320:{1,3,6}:{(281,1),(287,1),(293,1),(353,1),(356,1)}
       321:{1,2,4,7}:{(281,1),(282,1),(284,1),(294,1),(354,1),(356,1),(358,1),(404,1)}
       322:{1,4,6}:{(283,1),(288,1),(298,1),(357,1),(358,1)}
       323:{1,3,5,7}:{(283,1),(284,1),(299,1),(356,1),(358,1),(359,1),(373,1),(407,1),(413,1)}
       324:{1,2,6,7}:{(284,1),(285,1),(290,1),(300,1),(359,1),(424,1)}
       325:{1,2,5}:{(286,1),(291,1),(352,1),(360,1)}
       326:{2,3,5}:{(286,1),(287,1),(292,1),(353,1),(360,1),(361,1),(403,1)}
       327:{1,3,4}:{(287,1),(288,1),(301,1),(361,1)}
       328:{1,4,7}:{(288,1),(289,1),(305,1),(362,1)}
       329:{1,3,6}:{(289,1),(290,1),(306,1),(362,1)}
       330:{1,3}:{(291,1),(292,1)}
       331:{3,4,6}:{(293,1),(298,1),(301,1),(363,1),(364,1),(408,1)}
       332:{3,7}:{(293,1),(294,1)}
       333:{2,4,6,7}:{(294,1),(295,1),(300,1),(303,1),(365,1),(366,1),(410,1)}
       334:{1,5,7}:{(295,1),(296,1),(304,1),(366,1)}
       335:{2,4,5}:{(298,1),(312,1),(357,1),(363,1),(371,1),(374,1),(403,1),(412,1)}
       336:{2,4,7}:{(298,1),(299,1),(313,1),(358,1),(364,1),(410,1)}
       337:{2,3,6,7}:{(299,1),(300,1),(306,1),(314,1),(359,1),(365,1),(368,1),(408,1),(414,1),(424,1)}
       338:{3,4,7}:{(301,1),(302,1),(305,1),(369,1),(410,1)}
       339:{3,6}:{(302,1),(303,1)}
       340:{2,5,6}:{(303,1),(304,1),(366,1),(370,1),(371,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(369,1),(371,1)}
       342:{1,3,6}:{(307,1),(308,1),(315,1),(372,1),(373,1)}
       343:{1,2,7}:{(307,1),(309,1),(373,1)}
       344:{2,4,6}:{(308,1),(310,1),(316,1),(372,1),(374,1),(375,1),(414,1)}
       345:{2,3,7}:{(308,1),(309,1),(311,1),(373,1),(375,1)}
       346:{1,3,5}:{(310,1),(312,1),(363,1),(374,1)}
       347:{1,3,4,7}:{(310,1),(311,1),(313,1),(364,1),(375,1),(376,1)}
       348:{1,4,5,7}:{(312,1),(313,1),(367,1),(376,1),(377,1),(378,1),(423,1)}
       349:{1,4,6,7}:{(313,1),(314,1),(317,1),(368,1),(377,1),(378,1)}
       350:{1,4}:{(315,1),(316,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(318,1),(325,1),(379,1),(380,1)}
       353:{2,3,6}:{(318,1),(320,1),(326,1),(379,1),(381,1),(382,1)}
       354:{2,7}:{(318,1),(319,1)}
       355:{1,3,4,6}:{(320,1),(322,1),(327,1),(331,1),(381,1),(383,1),(384,1),(418,1)}
       356:{1,3,7}:{(320,1),(321,1),(332,1),(382,1)}
       357:{1,4,5}:{(322,1),(335,1),(383,1),(388,1),(396,1)}
       358:{1,4,7}:{(322,1),(323,1),(336,1)}
       359:{1,3,6,7}:{(323,1),(324,1),(329,1),(337,1),(386,1),(418,1),(422,1)}
       360:{1,3,5}:{(325,1),(326,1),(330,1),(379,1),(387,1),(415,1)}
       361:{2,4}:{(326,1),(327,1),(387,1)}
       362:{1,4,6}:{(328,1),(329,1),(341,1),(388,1)}
       363:{3,5}:{(331,1),(335,1)}
       364:{3,4,7}:{(331,1),(332,1),(336,1),(389,1)}
       365:{3,6,7}:{(332,1),(333,1),(339,1),(391,1)}
       366:{2,5,7}:{(333,1),(334,1),(340,1),(391,1)}
       367:{2,4,5,7}:{(335,1),(336,1),(348,1),(385,1),(389,1),(392,1),(393,1),(398,1),(417,1),(421,1)}
       368:{2,4,6,7}:{(336,1),(337,1),(341,1),(349,1),(386,1),(390,1),(392,1),(393,1)}
       369:{3,4,6}:{(338,1),(339,1),(341,1),(394,1),(395,1)}
       370:{3,5,6}:{(339,1),(340,1),(391,1),(394,1),(395,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(394,1)}
       372:{1,4,6}:{(342,1),(344,1),(350,1),(396,1),(397,1),(422,1)}
       373:{1,3,7}:{(342,1),(343,1),(345,1),(397,1)}
       374:{2,5}:{(344,1),(346,1),(396,1)}
       375:{2,4,7}:{(344,1),(345,1),(347,1),(397,1),(398,1)}
       376:{1,3,5,7}:{(346,1),(347,1),(348,1),(389,1),(398,1),(399,1)}
       377:{1,4,6}:{(348,1),(392,1),(399,1),(400,1),(426,1)}
       378:{1,5,7}:{(349,1),(351,1),(393,1),(400,1)}
       379:{1,3,6}:{(352,1),(353,1),(360,1),(401,1),(402,1)}
       380:{1,2,7}:{(352,1),(354,1),(402,1)}
       381:{2,4,6}:{(353,1),(355,1),(361,1),(401,1),(403,1),(404,1),(424,1)}
       382:{2,3,7}:{(353,1),(354,1),(356,1),(402,1),(404,1)}
       383:{1,3,5}:{(355,1),(357,1),(363,1),(403,1)}
       384:{1,3,4,7}:{(355,1),(356,1),(358,1),(364,1),(404,1),(405,1)}
       385:{1,4,5,7}:{(357,1),(358,1),(367,1),(405,1),(406,1),(407,1),(413,1)}
       386:{1,4,6,7}:{(358,1),(359,1),(362,1),(368,1),(406,1),(407,1)}
       387:{1,4}:{(360,1),(361,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(367,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(368,1),(369,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(370,1),(410,1)}
       392:{2,4,6}:{(367,1),(377,1),(406,1),(408,1),(411,1),(414,1),(424,1),(425,1)}
       393:{2,5,7}:{(368,1),(371,1),(378,1),(407,1),(409,1),(411,1)}
       394:{3,5}:{(369,1),(371,1),(412,1)}
       395:{4,6}:{(370,1),(410,1),(412,1)}
       396:{1,5}:{(372,1),(374,1)}
       397:{1,4,7}:{(372,1),(373,1),(375,1),(413,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(377,1),(408,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(411,1)}
       401:{1,4,6}:{(379,1),(381,1),(387,1),(415,1),(416,1),(426,1)}
       402:{1,3,7}:{(379,1),(380,1),(382,1),(416,1)}
       403:{2,5}:{(381,1),(383,1),(415,1)}
       404:{2,4,7}:{(381,1),(382,1),(384,1),(416,1),(417,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(385,1),(389,1),(417,1),(418,1)}
       406:{1,4,6}:{(385,1),(392,1),(418,1),(419,1),(422,1)}
       407:{1,5,7}:{(386,1),(388,1),(393,1),(419,1)}
       408:{3,6}:{(389,1),(392,1)}
       409:{3,5,7}:{(390,1),(393,1),(394,1),(420,1),(421,1)}
       410:{4,7}:{(391,1),(395,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,5}:{(401,1),(403,1)}
       416:{1,4,7}:{(401,1),(402,1),(404,1),(423,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(406,1),(408,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{3,5,6}:{(408,1),(409,1),(411,1),(425,1)}
       421:{4,5,7}:{(409,1),(410,1),(412,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 422 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(20,1),(47,1),(87,1),(134,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(35,1),(62,1),(107,1),(114,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(9,1),(30,1),(152,1)}
         3:{1,2,6}:{(0,1),(7,1),(72,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(41,1),(53,1),(81,1),(102,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(18,1),(39,1),(42,1),(45,1),(47,1),(55,1),(81,1),(89,1)}
         6:{1,4,7}:{(1,1),(13,1),(17,1),(56,1),(135,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(129,1)}
         8:{1,3,7}:{(2,1),(18,1),(19,1),(165,1),(184,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(51,1),(56,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(33,1),(61,1),(64,1),(71,1),(78,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(59,1),(125,1)}
        12:{1,2,6}:{(4,1),(22,1),(108,1)}
        13:{2,4,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(7,1),(22,1),(27,1),(66,1),(72,1),(108,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(28,1),(29,1),(32,1),(70,1),(76,1),(107,1),(120,1),(150,1),(171,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(26,1),(28,1),(30,1),(31,1),(120,1),(153,1),(155,1)}
        17:{1,4,6}:{(6,1),(7,1),(27,1),(32,1)}
        18:{2,3,7}:{(8,1),(30,1),(33,1),(34,1),(155,1),(175,1),(177,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(178,1)}
        20:{1,2,5}:{(9,1),(32,1),(35,1),(75,1),(179,1)}
        21:{1,4,7}:{(10,1),(13,1),(38,1),(90,1),(103,1)}
        22:{1,3,6}:{(10,1),(12,1),(14,1),(38,1),(97,1)}
        23:{1,3,7}:{(11,1),(39,1),(40,1),(143,1),(188,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(85,1),(90,1)}
        25:{2,4,5,7}:{(13,1),(15,1),(36,1),(42,1),(43,1),(45,1),(47,1),(81,1),(92,1),(94,1),(101,1),(133,1),(137,1),(139,1),(161,1)}
        26:{3,4,7}:{(13,1),(42,1),(44,1),(104,1),(136,1),(137,1)}
        27:{2,4,6}:{(13,1),(14,1),(17,1),(38,1),(44,1),(45,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1),(52,1),(164,1),(180,1)}
        29:{1,4,6}:{(15,1),(43,1),(48,1),(49,1),(129,1)}
        30:{2,4,7}:{(16,1),(18,1),(47,1),(50,1),(51,1),(166,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(19,1),(44,1),(48,1),(51,1),(52,1),(56,1),(99,1),(104,1),(141,1)}
        32:{1,5}:{(17,1),(45,1)}
        33:{1,3,7}:{(18,1),(50,1),(53,1),(54,1),(183,1)}
        34:{2,3,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(141,1),(168,1)}
        35:{1,3,5}:{(19,1),(20,1),(55,1),(56,1),(169,1),(170,1)}
        36:{1,4,5,7}:{(21,1),(25,1),(57,1),(58,1),(61,1),(71,1),(106,1),(112,1),(123,1),(147,1),(154,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(26,1),(57,1),(59,1),(60,1),(126,1),(147,1),(172,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(61,1)}
        39:{2,3,7}:{(23,1),(59,1),(62,1),(63,1),(158,1),(172,1),(185,1)}
        40:{1,3,6}:{(23,1),(24,1),(63,1),(64,1),(186,1)}
        41:{1,2,5}:{(24,1),(61,1),(64,1),(111,1),(187,1)}
        42:{3,5,7}:{(25,1),(26,1),(66,1),(68,1),(124,1),(151,1),(155,1),(172,1)}
        43:{2,4,6}:{(25,1),(29,1),(58,1),(66,1),(67,1),(72,1),(108,1),(117,1)}
        44:{3,4,6}:{(26,1),(27,1),(66,1),(68,1),(117,1)}
        45:{2,5}:{(27,1),(32,1),(61,1),(68,1)}
        46:{1,4,6,7}:{(29,1),(65,1),(69,1),(70,1),(120,1),(145,1),(171,1)}
        47:{2,5,7}:{(28,1),(30,1),(71,1),(72,1),(75,1),(174,1),(185,1)}
        48:{1,3,6}:{(28,1),(29,1),(66,1),(72,1)}
        49:{1,5,6}:{(29,1),(32,1),(67,1),(70,1)}
        50:{1,4,7}:{(30,1),(33,1),(71,1),(74,1),(176,1)}
        51:{2,4,6}:{(30,1),(31,1),(34,1),(72,1),(74,1),(75,1),(79,1)}
        52:{1,3,5}:{(31,1),(32,1),(68,1),(75,1),(76,1),(124,1)}
        53:{1,2,7}:{(33,1),(77,1),(177,1),(187,1)}
        54:{1,3,6}:{(33,1),(34,1),(74,1),(77,1),(78,1)}
        55:{2,3,5}:{(34,1),(35,1),(75,1),(78,1),(79,1),(124,1),(157,1),(158,1)}
        56:{1,4}:{(35,1),(79,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(42,1),(81,1),(82,1),(86,1),(142,1),(167,1)}
        58:{1,4,6}:{(36,1),(43,1),(82,1),(83,1),(97,1)}
        59:{2,4,7}:{(37,1),(39,1),(81,1),(84,1),(85,1),(144,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(40,1),(44,1),(82,1),(85,1),(86,1),(90,1),(131,1),(136,1),(163,1)}
        61:{1,5}:{(38,1),(45,1)}
        62:{1,3,7}:{(39,1),(84,1),(87,1),(88,1),(170,1)}
        63:{2,3,6}:{(39,1),(40,1),(85,1),(88,1),(89,1),(163,1),(181,1)}
        64:{1,3,5}:{(40,1),(41,1),(89,1),(90,1),(182,1),(183,1)}
        65:{2,4,6,7}:{(43,1),(46,1),(80,1),(91,1),(92,1),(95,1),(127,1),(137,1),(139,1),(161,1)}
        66:{3,6}:{(42,1),(43,1)}
        67:{2,5,6}:{(43,1),(45,1),(49,1),(83,1),(92,1),(93,1)}
        68:{3,5}:{(44,1),(45,1),(94,1)}
        69:{1,3,6,7}:{(46,1),(48,1),(91,1),(95,1),(96,1),(180,1)}
        70:{1,5,7}:{(46,1),(49,1),(92,1)}
        71:{1,5,7}:{(47,1),(50,1),(97,1),(100,1),(182,1),(188,1)}
        72:{2,6}:{(47,1),(48,1),(97,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(52,1),(93,1),(96,1),(98,1),(99,1),(141,1)}
        74:{1,4,6}:{(50,1),(51,1),(54,1),(97,1),(100,1),(103,1)}
        75:{2,5}:{(51,1),(52,1),(100,1)}
        76:{1,4,5}:{(52,1),(56,1),(94,1),(99,1),(101,1),(169,1)}
        77:{1,2,6}:{(53,1),(54,1),(102,1),(168,1)}
        78:{1,3,5}:{(54,1),(55,1),(100,1),(102,1),(103,1),(143,1)}
        79:{2,4}:{(55,1),(56,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(58,1),(65,1),(105,1),(106,1),(118,1),(147,1),(154,1)}
        81:{2,5,7}:{(57,1),(59,1),(107,1),(108,1),(111,1),(157,1),(177,1)}
        82:{1,3,6}:{(57,1),(58,1),(66,1),(108,1)}
        83:{1,5,6}:{(58,1),(61,1),(67,1),(106,1)}
        84:{1,4,7}:{(59,1),(62,1),(107,1),(110,1),(159,1)}
        85:{2,4,6}:{(59,1),(60,1),(63,1),(108,1),(110,1),(111,1),(115,1)}
        86:{1,3,5}:{(60,1),(61,1),(68,1),(111,1),(112,1),(151,1)}
        87:{1,2,7}:{(62,1),(113,1),(179,1),(185,1)}
        88:{1,3,6}:{(62,1),(63,1),(110,1),(113,1),(114,1)}
        89:{2,3,5}:{(63,1),(64,1),(111,1),(114,1),(115,1),(151,1),(174,1),(175,1)}
        90:{1,4}:{(64,1),(115,1)}
        91:{3,6,7}:{(65,1),(66,1),(116,1),(155,1),(172,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1),(106,1),(116,1)}
        93:{3,5,6}:{(66,1),(67,1),(68,1),(116,1),(117,1)}
        94:{4,5}:{(68,1),(117,1)}
        95:{2,6,7}:{(69,1),(72,1),(118,1),(119,1),(185,1)}
        96:{1,3,5,7}:{(69,1),(70,1),(73,1),(116,1),(119,1),(120,1),(155,1)}
        97:{1,6}:{(71,1),(72,1)}
        98:{2,5,6}:{(72,1),(73,1),(75,1),(119,1),(121,1),(122,1)}
        99:{1,4,6}:{(73,1),(76,1),(117,1),(120,1),(122,1),(178,1)}
       100:{1,5}:{(74,1),(75,1)}
       101:{2,4,5}:{(75,1),(76,1),(79,1),(122,1),(123,1),(124,1),(157,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1),(157,1)}
       103:{1,4}:{(78,1),(79,1)}
       104:{3,4}:{(79,1),(124,1)}
       105:{1,3,6,7}:{(80,1),(82,1),(91,1),(127,1),(128,1),(167,1)}
       106:{1,5,7}:{(80,1),(83,1),(92,1)}
       107:{1,5,7}:{(81,1),(84,1),(129,1),(132,1),(169,1),(184,1)}
       108:{2,6}:{(81,1),(82,1),(129,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(86,1),(93,1),(128,1),(130,1),(131,1),(163,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(129,1),(132,1),(135,1)}
       111:{2,5}:{(85,1),(86,1),(132,1)}
       112:{1,4,5}:{(86,1),(90,1),(94,1),(131,1),(133,1),(182,1)}
       113:{1,2,6}:{(87,1),(88,1),(134,1),(181,1)}
       114:{1,3,5}:{(88,1),(89,1),(132,1),(134,1),(135,1),(165,1)}
       115:{2,4}:{(89,1),(90,1),(135,1),(136,1)}
       116:{3,5,7}:{(91,1),(92,1),(93,1),(137,1)}
       117:{4,6}:{(93,1),(94,1),(137,1)}
       118:{1,6,7}:{(95,1),(97,1),(138,1),(188,1)}
       119:{2,5,7}:{(95,1),(96,1),(98,1),(138,1),(139,1)}
       120:{1,4,7}:{(96,1),(99,1),(137,1),(139,1),(184,1)}
       121:{1,5,6}:{(97,1),(98,1),(100,1),(138,1),(140,1)}
       122:{2,4,6}:{(98,1),(99,1),(101,1),(139,1),(140,1),(141,1),(168,1)}
       123:{1,4,5}:{(100,1),(101,1),(103,1),(140,1),(142,1)}
       124:{3,5}:{(101,1),(104,1),(141,1)}
       125:{1,2,4}:{(102,1),(103,1),(143,1),(144,1)}
       126:{1,3,4}:{(103,1),(104,1),(142,1),(143,1),(144,1)}
       127:{2,6,7}:{(105,1),(108,1),(145,1),(146,1),(177,1)}
       128:{1,3,5,7}:{(105,1),(106,1),(109,1),(116,1),(146,1),(147,1),(172,1)}
       129:{1,6}:{(107,1),(108,1)}
       130:{2,5,6}:{(108,1),(109,1),(111,1),(146,1),(148,1),(149,1)}
       131:{1,4,6}:{(109,1),(112,1),(117,1),(147,1),(149,1),(186,1)}
       132:{1,5}:{(110,1),(111,1)}
       133:{2,4,5}:{(111,1),(112,1),(115,1),(149,1),(150,1),(151,1),(174,1)}
       134:{1,2,5}:{(113,1),(114,1),(152,1),(174,1)}
       135:{1,4}:{(114,1),(115,1)}
       136:{3,4}:{(115,1),(151,1)}
       137:{4,7}:{(116,1),(117,1)}
       138:{1,5,7}:{(118,1),(119,1),(121,1),(154,1)}
       139:{2,4,7}:{(119,1),(120,1),(122,1),(154,1),(155,1),(177,1)}
       140:{1,4,6}:{(121,1),(122,1),(123,1),(154,1),(156,1)}
       141:{3,6}:{(122,1),(124,1),(155,1)}
       142:{1,3,5}:{(123,1),(124,1),(126,1),(156,1),(157,1)}
       143:{1,3}:{(125,1),(158,1)}
       144:{2,4}:{(126,1),(157,1),(158,1),(159,1)}
       145:{1,6,7}:{(127,1),(129,1),(160,1),(184,1)}
       146:{2,5,7}:{(127,1),(128,1),(130,1),(160,1),(161,1)}
       147:{1,4,7}:{(128,1),(131,1),(137,1),(161,1),(188,1)}
       148:{1,5,6}:{(129,1),(130,1),(132,1),(160,1),(162,1)}
       149:{2,4,6}:{(130,1),(131,1),(133,1),(161,1),(162,1),(163,1),(181,1)}
       150:{1,4,5}:{(132,1),(133,1),(135,1),(162,1),(164,1)}
       151:{3,5}:{(133,1),(136,1),(163,1)}
       152:{1,2,4}:{(134,1),(135,1),(165,1),(166,1)}
       153:{1,3,4}:{(135,1),(136,1),(164,1),(165,1),(166,1)}
       154:{1,4,7}:{(138,1),(139,1),(140,1),(167,1)}
       155:{3,7}:{(139,1),(141,1)}
       156:{1,3,6}:{(140,1),(141,1),(142,1),(167,1),(168,1)}
       157:{2,5}:{(142,1),(144,1),(168,1),(169,1)}
       158:{2,3}:{(143,1),(144,1),(170,1)}
       159:{1,4}:{(144,1),(169,1),(170,1)}
       160:{1,5,7}:{(145,1),(146,1),(148,1),(171,1)}
       161:{2,4,7}:{(146,1),(147,1),(149,1),(171,1),(172,1),(185,1)}
       162:{1,4,6}:{(148,1),(149,1),(150,1),(171,1),(173,1)}
       163:{3,6}:{(149,1),(151,1),(172,1)}
       164:{1,3,5}:{(150,1),(151,1),(153,1),(173,1),(174,1)}
       165:{1,3}:{(152,1),(175,1)}
       166:{2,4}:{(153,1),(174,1),(175,1),(176,1)}
       167:{1,3,7}:{(154,1),(155,1),(156,1),(177,1)}
       168:{2,6}:{(156,1),(157,1),(177,1),(178,1)}
       169:{1,5}:{(157,1),(159,1),(178,1)}
       170:{1,3}:{(158,1),(159,1),(179,1)}
       171:{1,4,7}:{(160,1),(161,1),(162,1),(180,1)}
       172:{3,7}:{(161,1),(163,1)}
       173:{1,3,6}:{(162,1),(163,1),(164,1),(180,1),(181,1)}
       174:{2,5}:{(164,1),(166,1),(181,1),(182,1)}
       175:{2,3}:{(165,1),(166,1),(183,1)}
       176:{1,4}:{(166,1),(182,1),(183,1)}
       177:{2,7}:{(167,1),(168,1),(184,1)}
       178:{1,6}:{(168,1),(169,1),(184,1)}
       179:{1,2}:{(170,1)}
       180:{1,3,7}:{(171,1),(172,1),(173,1),(185,1)}
       181:{2,6}:{(173,1),(174,1),(185,1),(186,1)}
       182:{1,5}:{(174,1),(176,1),(186,1)}
       183:{1,3}:{(175,1),(176,1),(187,1)}
       184:{1,7}:{(177,1),(178,1)}
       185:{2,7}:{(180,1),(181,1),(188,1)}
       186:{1,6}:{(181,1),(182,1),(188,1)}
       187:{1,2}:{(183,1)}
       188:{1,7}:{(185,1),(186,1)}

 423 :   0:{1,2,6,7}:{(1,1),(2,1),(100,1),(175,1),(232,1),(247,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(190,1),(273,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(70,1),(119,1),(215,1),(286,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(149,1),(178,1),(229,1),(247,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(92,1),(100,1),(149,1),(247,1),(250,1),(319,1)}
         5:{1,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(44,1),(312,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(17,1),(86,1),(150,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(100,1),(103,1),(157,1),(177,1),(232,1),(236,1),(249,1)}
         8:{1,2,4,7}:{(2,1),(15,1),(16,1),(17,1),(48,1),(255,1),(322,1),(329,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(111,1),(137,1),(220,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(77,1),(112,1),(268,1),(286,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(25,1),(62,1),(290,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(25,1),(32,1),(58,1),(63,1),(70,1),(112,1),(286,1),(351,1),(355,1)}
        13:{1,5,7}:{(5,1),(23,1),(26,1),(346,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(24,1),(26,1),(28,1),(31,1),(69,1),(71,1),(118,1),(190,1),(193,1),(273,1),(277,1),(346,1)}
        15:{1,4,7}:{(6,1),(25,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(72,1),(218,1),(288,1),(297,1)}
        17:{1,3,7}:{(8,1),(31,1),(32,1),(355,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(33,1),(35,1),(79,1),(261,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(35,1),(37,1),(51,1),(101,1)}
        20:{1,2,5,6}:{(10,1),(34,1),(36,1),(108,1),(149,1),(152,1),(178,1),(182,1),(231,1),(249,1)}
        21:{1,2,4,7}:{(10,1),(35,1),(36,1),(37,1),(83,1),(306,1),(322,1),(369,1)}
        22:{3,4,6,7}:{(11,1),(38,1),(42,1),(88,1),(92,1),(319,1),(321,1),(379,1)}
        23:{2,5,7}:{(11,1),(13,1),(33,1),(38,1),(39,1),(327,1)}
        24:{2,3,5,6}:{(12,1),(14,1),(34,1),(39,1),(41,1),(50,1),(85,1),(92,1),(94,1),(100,1),(103,1),(149,1),(152,1),(249,1),(250,1),(253,1),(320,1),(325,1),(327,1)}
        25:{2,4,7}:{(12,1),(15,1),(35,1),(41,1),(42,1),(379,1)}
        26:{1,5,6}:{(13,1),(39,1),(44,1)}
        27:{1,4,5,7}:{(13,1),(15,1),(40,1),(44,1),(45,1),(46,1),(150,1)}
        28:{1,4,6}:{(14,1),(15,1),(41,1),(46,1),(315,1)}
        29:{1,3,4,7}:{(15,1),(17,1),(42,1),(45,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(16,1),(46,1),(49,1),(103,1),(106,1),(181,1),(236,1),(252,1),(262,1),(265,1),(315,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(50,1),(325,1)}
        32:{2,3,7}:{(17,1),(48,1),(50,1),(51,1),(329,1)}
        33:{1,5,7}:{(18,1),(23,1),(52,1),(300,1)}
        34:{1,3,5,6}:{(19,1),(20,1),(24,1),(52,1),(54,1),(57,1),(76,1),(111,1),(113,1),(137,1),(140,1),(220,1),(224,1),(300,1)}
        35:{1,4,7}:{(19,1),(25,1),(54,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(54,1),(56,1),(57,1),(114,1),(271,1),(288,1),(343,1)}
        37:{1,3,7}:{(21,1),(57,1),(58,1),(355,1)}
        38:{3,5,7}:{(22,1),(23,1),(59,1),(60,1),(354,1)}
        39:{2,5,6}:{(23,1),(26,1),(52,1),(59,1),(62,1)}
        40:{2,4,5,7}:{(23,1),(25,1),(27,1),(53,1),(60,1),(62,1),(63,1),(64,1),(70,1),(112,1)}
        41:{2,4,6}:{(24,1),(25,1),(28,1),(54,1),(64,1),(65,1),(292,1),(353,1)}
        42:{3,4,7}:{(25,1),(63,1),(65,1),(355,1)}
        43:{1,5,6,7}:{(26,1),(61,1),(67,1),(280,1),(364,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(69,1),(190,1)}
        45:{1,3,5,7}:{(27,1),(29,1),(63,1),(69,1),(70,1),(71,1)}
        46:{1,4,5}:{(28,1),(64,1),(71,1),(193,1),(346,1)}
        47:{1,3,4,6}:{(28,1),(29,1),(31,1),(65,1),(69,1),(71,1),(72,1),(74,1)}
        48:{2,4,7}:{(29,1),(32,1),(70,1),(72,1),(73,1)}
        49:{1,3,5}:{(30,1),(31,1),(74,1),(75,1),(291,1),(304,1)}
        50:{2,3,6}:{(31,1),(32,1),(72,1),(75,1),(76,1),(297,1)}
        51:{1,3,7}:{(32,1),(73,1),(76,1),(77,1)}
        52:{1,5,6}:{(33,1),(39,1),(79,1)}
        53:{1,4,5,7}:{(33,1),(35,1),(40,1),(79,1),(80,1),(81,1),(101,1)}
        54:{1,4,6}:{(34,1),(35,1),(41,1),(81,1),(264,1)}
        55:{1,3,4,7}:{(35,1),(37,1),(42,1),(80,1),(82,1),(83,1)}
        56:{1,2,4,5}:{(36,1),(81,1),(84,1),(152,1),(155,1),(182,1),(235,1),(252,1),(264,1),(313,1),(316,1)}
        57:{1,3,6}:{(36,1),(37,1),(84,1),(85,1),(325,1)}
        58:{2,3,7}:{(37,1),(83,1),(85,1),(86,1),(369,1)}
        59:{3,5,6}:{(38,1),(39,1),(88,1),(92,1)}
        60:{4,5,7}:{(38,1),(88,1),(379,1),(381,1)}
        61:{2,5,6,7}:{(39,1),(43,1),(78,1),(87,1),(90,1),(240,1),(318,1),(384,1)}
        62:{2,4,6}:{(39,1),(40,1),(44,1),(79,1),(88,1),(92,1),(100,1),(149,1)}
        63:{3,5,7}:{(40,1),(42,1),(92,1),(94,1)}
        64:{2,4,5}:{(41,1),(46,1),(81,1),(94,1),(103,1),(152,1),(327,1),(381,1)}
        65:{3,4,6}:{(41,1),(42,1),(92,1),(94,1),(325,1),(328,1)}
        66:{2,3,4,7}:{(42,1),(48,1),(83,1),(93,1),(95,1),(96,1),(172,1),(245,1),(251,1),(254,1),(305,1),(382,1),(387,1),(410,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(90,1),(97,1),(98,1),(229,1),(389,1)}
        68:{1,4,5,6}:{(44,1),(46,1),(91,1),(97,1),(99,1),(231,1),(242,1),(248,1),(336,1),(389,1)}
        69:{1,3,6}:{(44,1),(45,1),(92,1),(100,1)}
        70:{2,5,7}:{(45,1),(48,1),(100,1),(101,1),(103,1)}
        71:{1,3,5}:{(46,1),(47,1),(94,1),(103,1)}
        72:{2,4,6}:{(47,1),(48,1),(50,1),(100,1),(103,1),(104,1),(106,1)}
        73:{1,4,7}:{(48,1),(51,1),(101,1),(104,1)}
        74:{1,3,4}:{(49,1),(106,1),(315,1),(328,1)}
        75:{2,3,5}:{(49,1),(50,1),(103,1),(106,1),(107,1),(262,1),(266,1)}
        76:{1,3,6}:{(50,1),(51,1),(104,1),(107,1),(108,1)}
        77:{1,2,7}:{(51,1),(108,1),(329,1)}
        78:{1,5,6,7}:{(52,1),(61,1),(109,1),(280,1),(396,1)}
        79:{1,4,6}:{(52,1),(53,1),(62,1),(111,1),(137,1)}
        80:{1,3,5,7}:{(53,1),(55,1),(63,1),(111,1),(112,1),(113,1)}
        81:{1,4,5}:{(54,1),(64,1),(113,1),(140,1),(300,1)}
        82:{1,3,4,6}:{(54,1),(55,1),(57,1),(65,1),(111,1),(113,1),(114,1),(116,1)}
        83:{2,4,7}:{(55,1),(58,1),(112,1),(114,1),(115,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(117,1),(291,1),(350,1)}
        85:{2,3,6}:{(57,1),(58,1),(114,1),(117,1),(118,1),(343,1)}
        86:{1,3,7}:{(58,1),(115,1),(118,1),(119,1)}
        87:{3,5,6,7}:{(59,1),(61,1),(120,1),(125,1),(199,1),(351,1),(402,1)}
        88:{4,6}:{(59,1),(60,1)}
        89:{3,4,5,7}:{(60,1),(63,1),(122,1),(123,1),(129,1),(199,1),(204,1),(284,1),(354,1),(401,1),(403,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(67,1),(109,1),(120,1),(124,1),(125,1),(134,1),(187,1),(404,1)}
        91:{2,4,5,6}:{(62,1),(64,1),(68,1),(110,1),(121,1),(124,1),(126,1),(136,1),(189,1),(201,1),(207,1),(282,1),(288,1),(353,1),(359,1),(404,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{2,3,5,7}:{(63,1),(66,1),(70,1),(112,1),(123,1),(127,1),(128,1),(130,1),(403,1),(406,1),(420,1)}
        94:{3,5}:{(64,1),(65,1)}
        95:{2,3,4,6}:{(65,1),(66,1),(72,1),(114,1),(127,1),(130,1),(131,1),(143,1),(196,1),(207,1),(213,1),(217,1),(270,1),(290,1),(292,1),(358,1),(366,1),(398,1)}
        96:{1,3,4,7}:{(66,1),(73,1),(115,1),(128,1),(131,1),(132,1),(142,1),(195,1),(221,1),(274,1),(284,1),(285,1),(293,1),(339,1),(355,1),(405,1),(419,1)}
        97:{1,4,5,7}:{(67,1),(68,1),(124,1),(133,1),(268,1),(280,1),(285,1)}
        98:{1,3,6,7}:{(67,1),(69,1),(125,1),(133,1),(134,1),(407,1)}
        99:{1,3,5,6}:{(68,1),(69,1),(71,1),(126,1),(133,1),(135,1),(136,1),(367,1),(407,1)}
       100:{2,6}:{(69,1),(70,1),(137,1)}
       101:{1,5,7}:{(70,1),(73,1),(137,1),(140,1)}
       102:{1,3,4,5}:{(71,1),(74,1),(129,1),(135,1),(139,1),(211,1),(222,1),(291,1),(303,1),(367,1)}
       103:{2,5}:{(71,1),(72,1),(140,1)}
       104:{1,4,6}:{(72,1),(73,1),(76,1),(137,1),(140,1),(144,1)}
       105:{1,2,4,7}:{(73,1),(77,1),(132,1),(138,1),(141,1),(142,1),(221,1),(392,1),(419,1)}
       106:{2,4}:{(74,1),(75,1),(144,1)}
       107:{1,3,5}:{(75,1),(76,1),(140,1),(144,1),(145,1),(226,1)}
       108:{1,2,6}:{(76,1),(77,1),(145,1),(297,1)}
       109:{1,4,6,7}:{(78,1),(79,1),(90,1),(146,1),(147,1),(175,1),(412,1)}
       110:{1,4,5,6}:{(79,1),(81,1),(91,1),(146,1),(148,1),(177,1),(242,1),(248,1),(376,1),(412,1)}
       111:{1,3,6}:{(79,1),(80,1),(92,1),(149,1)}
       112:{2,5,7}:{(80,1),(83,1),(149,1),(150,1),(152,1)}
       113:{1,3,5}:{(81,1),(82,1),(94,1),(152,1)}
       114:{2,4,6}:{(82,1),(83,1),(85,1),(149,1),(152,1),(153,1),(155,1)}
       115:{1,4,7}:{(83,1),(86,1),(150,1),(153,1)}
       116:{1,3,4}:{(84,1),(155,1),(264,1),(328,1)}
       117:{2,3,5}:{(84,1),(85,1),(152,1),(155,1),(156,1),(313,1),(317,1)}
       118:{1,3,6}:{(85,1),(86,1),(153,1),(156,1),(157,1)}
       119:{1,2,7}:{(86,1),(157,1),(369,1)}
       120:{4,6,7}:{(87,1),(88,1),(158,1),(379,1),(415,1)}
       121:{4,5,6}:{(88,1),(158,1),(160,1),(381,1),(415,1)}
       122:{3,4,6}:{(88,1),(89,1),(92,1),(160,1),(161,1),(415,1),(416,1)}
       123:{2,4,5,7}:{(89,1),(93,1),(161,1),(162,1),(169,1),(240,1),(245,1),(251,1),(327,1)}
       124:{2,4,5,7}:{(90,1),(91,1),(97,1),(146,1),(158,1),(163,1),(174,1),(228,1),(240,1),(245,1),(318,1),(322,1),(379,1)}
       125:{3,6,7}:{(90,1),(92,1),(163,1),(416,1)}
       126:{3,5,6}:{(91,1),(92,1),(94,1),(163,1),(165,1),(325,1),(385,1),(416,1)}
       127:{2,3,6}:{(92,1),(93,1),(100,1),(149,1),(161,1),(167,1),(416,1),(418,1),(425,1)}
       128:{1,3,5,7}:{(93,1),(96,1),(101,1),(150,1),(162,1),(167,1),(168,1),(170,1),(244,1),(417,1),(424,1)}
       129:{3,4,5}:{(94,1),(165,1),(169,1),(328,1),(381,1),(385,1)}
       130:{2,3,5}:{(94,1),(95,1),(103,1),(152,1),(169,1),(170,1),(327,1),(385,1),(391,1),(414,1)}
       131:{1,3,4,6}:{(95,1),(96,1),(104,1),(153,1),(167,1),(170,1),(171,1),(183,1),(184,1),(237,1),(238,1),(248,1),(258,1),(261,1),(264,1),(309,1),(312,1),(315,1),(321,1),(325,1),(328,1),(390,1),(413,1)}
       132:{2,4,7}:{(96,1),(168,1),(171,1),(172,1),(329,1),(369,1)}
       133:{1,3,5,7}:{(97,1),(98,1),(99,1),(163,1),(173,1),(174,1)}
       134:{2,6,7}:{(98,1),(100,1),(174,1),(175,1),(418,1)}
       135:{1,3,4,6}:{(99,1),(102,1),(165,1),(173,1),(176,1),(248,1),(258,1),(325,1)}
       136:{2,5,6}:{(99,1),(100,1),(103,1),(174,1),(176,1),(177,1),(391,1),(418,1)}
       137:{1,6}:{(100,1),(101,1)}
       138:{1,2,5,7}:{(101,1),(105,1),(168,1),(178,1),(179,1),(182,1),(424,1)}
       139:{2,4,5}:{(102,1),(103,1),(106,1),(176,1),(180,1),(181,1),(262,1),(338,1),(391,1)}
       140:{1,5}:{(103,1),(104,1)}
       141:{1,2,4,6}:{(104,1),(105,1),(108,1),(171,1),(178,1),(182,1),(183,1),(185,1),(261,1),(264,1),(316,1),(373,1),(413,1)}
       142:{1,3,7}:{(105,1),(172,1),(183,1)}
       143:{2,3,4}:{(106,1),(180,1),(184,1),(266,1),(328,1),(338,1)}
       144:{1,4}:{(106,1),(107,1)}
       145:{1,2,5}:{(107,1),(108,1),(185,1),(262,1)}
       146:{1,4,5,7}:{(109,1),(110,1),(124,1),(186,1),(215,1),(280,1),(285,1)}
       147:{1,3,6,7}:{(109,1),(111,1),(125,1),(186,1),(187,1),(421,1)}
       148:{1,3,5,6}:{(110,1),(111,1),(113,1),(126,1),(186,1),(188,1),(189,1),(399,1),(421,1)}
       149:{2,6}:{(111,1),(112,1),(190,1)}
       150:{1,5,7}:{(112,1),(115,1),(190,1),(193,1)}
       151:{1,3,4,5}:{(113,1),(116,1),(129,1),(188,1),(192,1),(211,1),(275,1),(291,1),(349,1),(399,1)}
       152:{2,5}:{(113,1),(114,1),(193,1)}
       153:{1,4,6}:{(114,1),(115,1),(118,1),(190,1),(193,1),(197,1)}
       154:{1,2,4,7}:{(115,1),(119,1),(132,1),(191,1),(194,1),(195,1),(274,1),(360,1),(405,1)}
       155:{2,4}:{(116,1),(117,1),(197,1)}
       156:{1,3,5}:{(117,1),(118,1),(193,1),(197,1),(198,1),(279,1)}
       157:{1,2,6}:{(118,1),(119,1),(198,1),(343,1)}
       158:{4,5,7}:{(120,1),(121,1),(199,1)}
       159:{3,4,6,7}:{(120,1),(122,1),(125,1),(199,1),(200,1),(204,1)}
       160:{3,5,6}:{(121,1),(122,1),(199,1),(201,1),(354,1)}
       161:{2,4,6}:{(122,1),(123,1),(127,1),(201,1),(202,1)}
       162:{1,4,5,7}:{(123,1),(128,1),(202,1),(203,1),(211,1),(221,1),(274,1),(280,1),(285,1),(300,1),(346,1)}
       163:{3,5,7}:{(124,1),(125,1),(126,1),(204,1),(355,1)}
       164:{2,3,6,7}:{(125,1),(127,1),(134,1),(187,1),(200,1),(205,1),(206,1)}
       165:{3,4,6}:{(126,1),(129,1),(204,1),(207,1),(353,1)}
       166:{2,3,5,6}:{(126,1),(127,1),(130,1),(136,1),(189,1),(201,1),(205,1),(207,1),(208,1),(217,1),(270,1)}
       167:{1,3,6}:{(127,1),(128,1),(137,1),(190,1),(202,1),(209,1),(283,1),(423,1),(426,1)}
       168:{2,5,7}:{(128,1),(132,1),(209,1),(212,1)}
       169:{2,4,5}:{(129,1),(130,1),(207,1),(211,1),(292,1)}
       170:{1,3,5}:{(130,1),(131,1),(140,1),(193,1),(211,1),(212,1),(291,1),(300,1),(346,1),(354,1),(408,1),(422,1)}
       171:{2,4,6}:{(131,1),(132,1),(209,1),(212,1),(213,1),(225,1),(278,1),(292,1),(297,1),(343,1)}
       172:{2,3,7}:{(132,1),(142,1),(195,1),(213,1),(355,1)}
       173:{1,3,4,7}:{(133,1),(135,1),(204,1),(214,1),(285,1),(293,1),(355,1)}
       174:{2,5,7}:{(133,1),(134,1),(136,1),(214,1),(215,1)}
       175:{1,6,7}:{(134,1),(137,1),(215,1),(423,1)}
       176:{2,4,6}:{(135,1),(136,1),(139,1),(214,1),(217,1),(218,1),(297,1)}
       177:{1,5,6}:{(136,1),(137,1),(140,1),(215,1),(218,1),(408,1),(423,1)}
       178:{1,2,6}:{(137,1),(138,1),(209,1),(220,1),(426,1)}
       179:{1,3,5,7}:{(138,1),(142,1),(210,1),(220,1),(221,1),(224,1),(300,1)}
       180:{2,3,5}:{(139,1),(143,1),(217,1),(222,1),(291,1)}
       181:{1,4,5}:{(139,1),(140,1),(144,1),(218,1),(222,1),(368,1),(408,1)}
       182:{1,2,5}:{(140,1),(141,1),(212,1),(224,1),(300,1),(422,1)}
       183:{1,3,6}:{(141,1),(142,1),(213,1),(224,1),(226,1),(350,1)}
       184:{1,3,4}:{(143,1),(144,1),(222,1),(225,1),(226,1),(304,1),(368,1)}
       185:{1,2,4}:{(144,1),(145,1),(225,1),(226,1)}
       186:{1,3,5,7}:{(146,1),(147,1),(148,1),(163,1),(227,1),(228,1)}
       187:{2,6,7}:{(147,1),(149,1),(228,1),(229,1),(425,1)}
       188:{1,3,4,6}:{(148,1),(151,1),(165,1),(227,1),(230,1),(248,1),(309,1),(325,1)}
       189:{2,5,6}:{(148,1),(149,1),(152,1),(228,1),(230,1),(231,1),(414,1),(425,1)}
       190:{1,6}:{(149,1),(150,1)}
       191:{1,2,5,7}:{(150,1),(154,1),(168,1),(232,1),(233,1),(236,1),(417,1)}
       192:{2,4,5}:{(151,1),(152,1),(155,1),(230,1),(234,1),(235,1),(313,1),(378,1),(414,1)}
       193:{1,5}:{(152,1),(153,1)}
       194:{1,2,4,6}:{(153,1),(154,1),(157,1),(171,1),(232,1),(236,1),(237,1),(239,1),(265,1),(312,1),(315,1),(333,1),(390,1)}
       195:{1,3,7}:{(154,1),(172,1),(237,1)}
       196:{2,3,4}:{(155,1),(234,1),(238,1),(317,1),(328,1),(378,1)}
       197:{1,4}:{(155,1),(156,1)}
       198:{1,2,5}:{(156,1),(157,1),(239,1),(313,1)}
       199:{3,5,7}:{(158,1),(159,1),(160,1),(240,1)}
       200:{2,4,6,7}:{(159,1),(161,1),(164,1),(240,1),(241,1),(245,1)}
       201:{2,5,6}:{(160,1),(161,1),(240,1),(242,1),(327,1)}
       202:{1,4,6}:{(161,1),(162,1),(167,1),(242,1),(243,1)}
       203:{2,4,5,7}:{(162,1),(168,1),(243,1),(244,1),(251,1),(252,1),(318,1),(322,1),(327,1),(379,1),(381,1)}
       204:{3,4,7}:{(163,1),(165,1),(245,1),(379,1)}
       205:{2,3,5,7}:{(163,1),(164,1),(166,1),(174,1),(228,1),(240,1),(245,1),(246,1),(254,1),(305,1)}
       206:{1,3,6,7}:{(164,1),(167,1),(175,1),(229,1),(241,1),(246,1),(247,1),(319,1)}
       207:{2,4,6}:{(165,1),(166,1),(169,1),(245,1),(248,1)}
       208:{1,3,5,6}:{(166,1),(167,1),(170,1),(177,1),(231,1),(242,1),(246,1),(248,1),(249,1),(258,1),(309,1),(320,1),(325,1)}
       209:{2,6}:{(167,1),(168,1)}
       210:{2,3,5,7}:{(168,1),(172,1),(179,1),(233,1),(244,1),(250,1),(251,1),(253,1),(327,1)}
       211:{1,4,5}:{(169,1),(170,1),(248,1),(252,1),(264,1),(315,1),(381,1)}
       212:{2,5}:{(170,1),(171,1)}
       213:{2,3,6}:{(171,1),(172,1),(183,1),(237,1),(253,1),(266,1),(317,1),(325,1)}
       214:{2,4,7}:{(173,1),(174,1),(176,1),(254,1),(255,1),(329,1)}
       215:{1,5,7}:{(174,1),(175,1),(177,1),(255,1)}
       216:{1,2,6,7}:{(175,1),(178,1),(247,1),(256,1),(257,1),(418,1)}
       217:{2,3,6}:{(176,1),(180,1),(254,1),(258,1),(325,1)}
       218:{1,4,6}:{(176,1),(177,1),(181,1),(255,1),(258,1)}
       219:{1,2,5,6}:{(177,1),(178,1),(182,1),(249,1),(256,1),(259,1),(260,1),(373,1),(391,1),(418,1)}
       220:{1,3,6}:{(178,1),(179,1),(250,1),(261,1)}
       221:{1,4,7}:{(179,1),(251,1),(261,1),(264,1)}
       222:{1,3,5}:{(180,1),(181,1),(184,1),(258,1),(262,1)}
       223:{1,2,4,5}:{(181,1),(182,1),(185,1),(252,1),(259,1),(262,1),(263,1),(264,1),(336,1),(338,1),(391,1)}
       224:{1,3,5}:{(182,1),(183,1),(253,1),(264,1)}
       225:{2,4}:{(184,1),(262,1),(266,1)}
       226:{1,3}:{(185,1),(266,1)}
       227:{1,3,4,7}:{(186,1),(188,1),(204,1),(267,1),(285,1),(339,1),(355,1)}
       228:{2,5,7}:{(186,1),(187,1),(189,1),(267,1),(268,1)}
       229:{1,6,7}:{(187,1),(190,1),(268,1),(426,1)}
       230:{2,4,6}:{(188,1),(189,1),(192,1),(267,1),(270,1),(271,1),(343,1)}
       231:{1,5,6}:{(189,1),(190,1),(193,1),(268,1),(271,1),(422,1),(426,1)}
       232:{1,2,6}:{(190,1),(191,1),(209,1),(273,1),(423,1)}
       233:{1,3,5,7}:{(191,1),(195,1),(210,1),(273,1),(274,1),(277,1),(346,1)}
       234:{2,3,5}:{(192,1),(196,1),(270,1),(275,1),(291,1)}
       235:{1,4,5}:{(192,1),(193,1),(197,1),(271,1),(275,1),(400,1),(422,1)}
       236:{1,2,5}:{(193,1),(194,1),(212,1),(277,1),(346,1),(408,1)}
       237:{1,3,6}:{(194,1),(195,1),(213,1),(277,1),(279,1),(304,1)}
       238:{1,3,4}:{(196,1),(197,1),(275,1),(278,1),(279,1),(350,1),(400,1)}
       239:{1,2,4}:{(197,1),(198,1),(278,1),(279,1)}
       240:{2,5,7}:{(199,1),(200,1),(201,1),(280,1)}
       241:{1,4,6,7}:{(200,1),(202,1),(206,1),(280,1),(281,1),(285,1)}
       242:{1,5,6}:{(201,1),(202,1),(280,1),(282,1),(300,1),(346,1)}
       243:{2,4,6}:{(202,1),(203,1),(209,1),(282,1),(283,1),(353,1)}
       244:{3,5,7}:{(203,1),(283,1),(284,1),(291,1),(354,1),(355,1)}
       245:{2,4,7}:{(204,1),(205,1),(207,1),(285,1)}
       246:{1,3,5,7}:{(205,1),(206,1),(208,1),(215,1),(268,1),(280,1),(285,1),(286,1),(293,1),(339,1),(351,1),(355,1)}
       247:{2,6,7}:{(206,1),(209,1),(286,1)}
       248:{1,4,6}:{(207,1),(208,1),(211,1),(285,1),(288,1),(353,1)}
       249:{2,5,6}:{(208,1),(209,1),(212,1),(286,1),(288,1),(297,1),(343,1)}
       250:{2,3,6}:{(209,1),(210,1),(220,1),(273,1),(283,1),(290,1)}
       251:{2,4,7}:{(210,1),(221,1),(274,1),(284,1),(290,1),(292,1)}
       252:{2,4,5}:{(211,1),(212,1),(288,1),(291,1),(292,1)}
       253:{2,3,5}:{(212,1),(213,1),(224,1),(277,1),(291,1),(292,1)}
       254:{2,3,7}:{(214,1),(217,1),(293,1),(355,1)}
       255:{1,4,7}:{(214,1),(215,1),(218,1),(293,1)}
       256:{1,2,5,7}:{(215,1),(216,1),(219,1),(286,1),(294,1),(295,1),(392,1),(406,1)}
       257:{1,3,6,7}:{(216,1),(220,1),(287,1),(295,1),(296,1),(407,1),(426,1)}
       258:{1,3,6}:{(217,1),(218,1),(222,1),(293,1),(297,1)}
       259:{1,2,4,6}:{(218,1),(219,1),(223,1),(288,1),(294,1),(297,1),(298,1),(299,1),(366,1)}
       260:{1,3,5,6}:{(219,1),(220,1),(224,1),(289,1),(295,1),(298,1),(299,1),(300,1),(364,1),(367,1),(397,1),(407,1),(422,1),(426,1)}
       261:{1,4,6}:{(220,1),(221,1),(290,1),(300,1)}
       262:{2,5}:{(222,1),(225,1),(297,1)}
       263:{1,3,5}:{(223,1),(226,1),(291,1),(298,1),(302,1),(303,1)}
       264:{1,4}:{(224,1),(292,1)}
       265:{1,2,4}:{(225,1),(301,1),(304,1),(368,1)}
       266:{2,3}:{(225,1),(226,1),(304,1)}
       267:{2,4,7}:{(227,1),(228,1),(230,1),(305,1),(306,1),(369,1)}
       268:{1,5,7}:{(228,1),(229,1),(231,1),(306,1)}
       269:{1,2,6,7}:{(229,1),(232,1),(247,1),(307,1),(308,1),(425,1)}
       270:{2,3,6}:{(230,1),(234,1),(305,1),(309,1),(325,1)}
       271:{1,4,6}:{(230,1),(231,1),(235,1),(306,1),(309,1)}
       272:{1,2,5,6}:{(231,1),(232,1),(236,1),(249,1),(307,1),(310,1),(311,1),(333,1),(414,1),(425,1)}
       273:{1,3,6}:{(232,1),(233,1),(250,1),(312,1)}
       274:{1,4,7}:{(233,1),(251,1),(312,1),(315,1)}
       275:{1,3,5}:{(234,1),(235,1),(238,1),(309,1),(313,1)}
       276:{1,2,4,5}:{(235,1),(236,1),(239,1),(252,1),(310,1),(313,1),(314,1),(315,1),(376,1),(378,1),(414,1)}
       277:{1,3,5}:{(236,1),(237,1),(253,1),(315,1)}
       278:{2,4}:{(238,1),(313,1),(317,1)}
       279:{1,3}:{(239,1),(317,1)}
       280:{1,5,7}:{(240,1),(241,1),(242,1),(318,1)}
       281:{2,4,6,7}:{(241,1),(243,1),(247,1),(318,1),(319,1),(322,1),(379,1)}
       282:{2,5,6}:{(242,1),(243,1),(318,1),(320,1),(327,1)}
       283:{3,6}:{(243,1),(244,1)}
       284:{3,4,7}:{(244,1),(251,1),(321,1),(328,1),(379,1)}
       285:{1,4,7}:{(245,1),(246,1),(248,1),(322,1),(379,1)}
       286:{2,5,7}:{(246,1),(247,1),(249,1),(322,1),(329,1),(369,1)}
       287:{2,3,6,7}:{(247,1),(250,1),(257,1),(308,1),(319,1),(323,1),(324,1),(416,1),(418,1),(425,1)}
       288:{2,4,6}:{(248,1),(249,1),(252,1),(322,1),(325,1)}
       289:{2,3,5,6}:{(249,1),(250,1),(253,1),(260,1),(311,1),(320,1),(323,1),(325,1),(326,1),(327,1),(334,1),(374,1),(384,1),(385,1),(391,1),(414,1),(416,1),(418,1),(425,1)}
       290:{2,4,6}:{(250,1),(251,1),(261,1),(312,1),(321,1),(327,1)}
       291:{3,5}:{(252,1),(325,1),(328,1)}
       292:{2,4}:{(253,1),(264,1),(315,1),(328,1)}
       293:{1,3,7}:{(254,1),(255,1),(258,1),(329,1)}
       294:{1,2,4,7}:{(255,1),(256,1),(259,1),(322,1),(329,1),(330,1),(331,1),(387,1)}
       295:{1,3,5,7}:{(256,1),(257,1),(260,1),(323,1),(330,1),(331,1),(332,1),(409,1),(424,1)}
       296:{1,4,6,7}:{(257,1),(261,1),(324,1),(331,1),(332,1),(389,1)}
       297:{2,6}:{(258,1),(262,1),(329,1)}
       298:{1,3,6}:{(259,1),(263,1),(325,1),(330,1),(334,1)}
       299:{1,4,6}:{(260,1),(264,1),(326,1),(331,1),(336,1)}
       300:{1,5}:{(261,1),(327,1)}
       301:{1,2,5}:{(262,1),(265,1),(333,1),(337,1)}
       302:{2,3,5}:{(262,1),(263,1),(266,1),(334,1),(337,1),(338,1),(391,1)}
       303:{1,3,4}:{(263,1),(264,1),(328,1),(338,1)}
       304:{1,3}:{(265,1),(266,1)}
       305:{2,3,7}:{(267,1),(270,1),(339,1),(355,1)}
       306:{1,4,7}:{(267,1),(268,1),(271,1),(339,1)}
       307:{1,2,5,7}:{(268,1),(269,1),(272,1),(286,1),(340,1),(341,1),(360,1),(420,1)}
       308:{1,3,6,7}:{(269,1),(273,1),(287,1),(341,1),(342,1),(421,1),(423,1)}
       309:{1,3,6}:{(270,1),(271,1),(275,1),(339,1),(343,1)}
       310:{1,2,4,6}:{(271,1),(272,1),(276,1),(288,1),(340,1),(343,1),(344,1),(345,1),(398,1)}
       311:{1,3,5,6}:{(272,1),(273,1),(277,1),(289,1),(341,1),(344,1),(345,1),(346,1),(365,1),(396,1),(399,1),(408,1),(421,1),(423,1)}
       312:{1,4,6}:{(273,1),(274,1),(290,1),(346,1)}
       313:{2,5}:{(275,1),(278,1),(343,1)}
       314:{1,3,5}:{(276,1),(279,1),(291,1),(344,1),(348,1),(349,1)}
       315:{1,4}:{(277,1),(292,1)}
       316:{1,2,4}:{(278,1),(347,1),(350,1),(400,1)}
       317:{2,3}:{(278,1),(279,1),(350,1)}
       318:{2,5,7}:{(280,1),(281,1),(282,1),(351,1)}
       319:{3,6,7}:{(281,1),(283,1),(351,1),(355,1)}
       320:{3,5,6}:{(282,1),(283,1),(351,1),(353,1),(354,1)}
       321:{3,4,6}:{(283,1),(284,1),(290,1),(353,1),(354,1)}
       322:{2,4,7}:{(285,1),(286,1),(288,1),(355,1)}
       323:{2,3,5,7}:{(286,1),(287,1),(289,1),(295,1),(341,1),(351,1),(355,1),(356,1),(357,1),(361,1),(393,1),(403,1),(406,1),(420,1)}
       324:{2,4,6,7}:{(287,1),(290,1),(296,1),(342,1),(352,1),(356,1),(357,1),(404,1)}
       325:{3,6}:{(288,1),(291,1),(355,1)}
       326:{2,4,6}:{(289,1),(292,1),(299,1),(345,1),(353,1),(356,1),(358,1),(359,1)}
       327:{2,5}:{(290,1),(300,1),(346,1),(354,1)}
       328:{3,4}:{(291,1),(292,1)}
       329:{2,7}:{(293,1),(297,1)}
       330:{1,3,7}:{(294,1),(298,1),(355,1),(361,1)}
       331:{1,4,7}:{(295,1),(299,1),(356,1)}
       332:{1,5,7}:{(296,1),(300,1),(357,1),(364,1)}
       333:{1,2,6}:{(297,1),(301,1),(360,1),(365,1)}
       334:{2,3,6}:{(297,1),(298,1),(302,1),(361,1),(365,1),(366,1)}
       335:{1,3,4,6}:{(298,1),(299,1),(303,1),(358,1),(362,1),(366,1),(367,1),(407,1)}
       336:{1,4,5}:{(299,1),(300,1),(359,1),(367,1),(422,1)}
       337:{1,3,5}:{(301,1),(302,1),(304,1),(365,1),(368,1),(408,1)}
       338:{2,4}:{(302,1),(303,1),(368,1)}
       339:{1,3,7}:{(305,1),(306,1),(309,1),(369,1)}
       340:{1,2,4,7}:{(306,1),(307,1),(310,1),(322,1),(369,1),(370,1),(371,1),(410,1)}
       341:{1,3,5,7}:{(307,1),(308,1),(311,1),(323,1),(370,1),(371,1),(372,1),(386,1),(417,1)}
       342:{1,4,6,7}:{(308,1),(312,1),(324,1),(371,1),(372,1),(412,1)}
       343:{2,6}:{(309,1),(313,1),(369,1)}
       344:{1,3,6}:{(310,1),(314,1),(325,1),(370,1),(374,1)}
       345:{1,4,6}:{(311,1),(315,1),(326,1),(371,1),(376,1)}
       346:{1,5}:{(312,1),(327,1)}
       347:{1,2,5}:{(313,1),(316,1),(373,1),(377,1)}
       348:{2,3,5}:{(313,1),(314,1),(317,1),(374,1),(377,1),(378,1),(414,1)}
       349:{1,3,4}:{(314,1),(315,1),(328,1),(378,1)}
       350:{1,3}:{(316,1),(317,1)}
       351:{3,5,7}:{(318,1),(319,1),(320,1),(379,1)}
       352:{3,4,6,7}:{(319,1),(321,1),(324,1),(379,1),(380,1),(382,1),(415,1),(416,1)}
       353:{4,6}:{(320,1),(379,1),(381,1)}
       354:{3,5}:{(321,1),(327,1),(381,1)}
       355:{3,7}:{(322,1),(325,1)}
       356:{2,4,7}:{(323,1),(326,1),(331,1),(371,1),(379,1),(382,1)}
       357:{2,5,7}:{(324,1),(327,1),(332,1),(372,1),(380,1),(384,1)}
       358:{3,4,6}:{(325,1),(326,1),(328,1),(382,1),(385,1),(416,1)}
       359:{2,4,5}:{(326,1),(327,1),(336,1),(376,1),(381,1),(385,1),(391,1),(414,1)}
       360:{1,2,7}:{(329,1),(333,1),(386,1)}
       361:{2,3,7}:{(329,1),(330,1),(334,1),(386,1),(387,1)}
       362:{1,3,4,7}:{(330,1),(331,1),(335,1),(382,1),(387,1),(388,1)}
       363:{1,4,5,7}:{(331,1),(332,1),(336,1),(383,1),(388,1),(389,1),(424,1)}
       364:{1,5,6}:{(332,1),(384,1),(389,1)}
       365:{1,3,6}:{(333,1),(334,1),(337,1),(386,1),(390,1)}
       366:{2,4,6}:{(334,1),(335,1),(338,1),(387,1),(390,1),(391,1),(418,1)}
       367:{1,3,5}:{(335,1),(336,1),(385,1),(391,1)}
       368:{1,4}:{(337,1),(338,1)}
       369:{2,7}:{(339,1),(343,1)}
       370:{1,3,7}:{(340,1),(344,1),(355,1),(393,1)}
       371:{1,4,7}:{(341,1),(345,1),(356,1)}
       372:{1,5,7}:{(342,1),(346,1),(357,1),(396,1)}
       373:{1,2,6}:{(343,1),(347,1),(392,1),(397,1)}
       374:{2,3,6}:{(343,1),(344,1),(348,1),(393,1),(397,1),(398,1)}
       375:{1,3,4,6}:{(344,1),(345,1),(349,1),(358,1),(394,1),(398,1),(399,1),(421,1)}
       376:{1,4,5}:{(345,1),(346,1),(359,1),(399,1),(408,1)}
       377:{1,3,5}:{(347,1),(348,1),(350,1),(397,1),(400,1),(422,1)}
       378:{2,4}:{(348,1),(349,1),(400,1)}
       379:{4,7}:{(351,1),(353,1)}
       380:{3,5,7}:{(352,1),(354,1),(357,1),(401,1),(402,1)}
       381:{4,5}:{(353,1),(354,1)}
       382:{3,4,7}:{(355,1),(356,1),(358,1),(403,1)}
       383:{2,4,5,7}:{(356,1),(357,1),(359,1),(363,1),(395,1),(401,1),(403,1),(404,1),(406,1),(420,1)}
       384:{2,5,6}:{(357,1),(364,1),(396,1),(402,1),(404,1)}
       385:{3,5}:{(358,1),(359,1)}
       386:{1,3,7}:{(360,1),(361,1),(365,1),(405,1)}
       387:{2,4,7}:{(361,1),(362,1),(366,1),(405,1),(406,1)}
       388:{1,3,5,7}:{(362,1),(363,1),(367,1),(403,1),(406,1),(407,1)}
       389:{1,4,6}:{(363,1),(364,1),(404,1),(407,1),(426,1)}
       390:{1,4,6}:{(365,1),(366,1),(368,1),(405,1),(408,1),(423,1)}
       391:{2,5}:{(366,1),(367,1),(408,1)}
       392:{1,2,7}:{(369,1),(373,1),(409,1)}
       393:{2,3,7}:{(369,1),(370,1),(374,1),(409,1),(410,1)}
       394:{1,3,4,7}:{(370,1),(371,1),(375,1),(382,1),(410,1),(411,1)}
       395:{1,4,5,7}:{(371,1),(372,1),(376,1),(383,1),(411,1),(412,1),(417,1)}
       396:{1,5,6}:{(372,1),(384,1),(412,1)}
       397:{1,3,6}:{(373,1),(374,1),(377,1),(409,1),(413,1)}
       398:{2,4,6}:{(374,1),(375,1),(378,1),(410,1),(413,1),(414,1),(425,1)}
       399:{1,3,5}:{(375,1),(376,1),(385,1),(414,1)}
       400:{1,4}:{(377,1),(378,1)}
       401:{4,5,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{3,5,6}:{(380,1),(384,1),(415,1),(416,1)}
       403:{3,5,7}:{(382,1),(383,1),(385,1),(416,1)}
       404:{2,4,6}:{(383,1),(384,1),(389,1),(412,1),(415,1),(416,1),(418,1),(425,1)}
       405:{1,4,7}:{(386,1),(387,1),(390,1),(417,1)}
       406:{2,5,7}:{(387,1),(388,1),(391,1),(417,1),(418,1)}
       407:{1,3,6}:{(388,1),(389,1),(416,1),(418,1)}
       408:{1,5}:{(390,1),(391,1)}
       409:{1,3,7}:{(392,1),(393,1),(397,1),(419,1)}
       410:{2,4,7}:{(393,1),(394,1),(398,1),(419,1),(420,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(399,1),(403,1),(420,1),(421,1)}
       412:{1,4,6}:{(395,1),(396,1),(404,1),(421,1),(423,1)}
       413:{1,4,6}:{(397,1),(398,1),(400,1),(419,1),(422,1),(426,1)}
       414:{2,5}:{(398,1),(399,1),(422,1)}
       415:{4,6}:{(401,1),(402,1)}
       416:{3,6}:{(403,1),(404,1)}
       417:{1,5,7}:{(405,1),(406,1),(408,1),(423,1)}
       418:{2,6}:{(406,1),(407,1),(423,1)}
       419:{1,4,7}:{(409,1),(410,1),(413,1),(424,1)}
       420:{2,5,7}:{(410,1),(411,1),(414,1),(424,1),(425,1)}
       421:{1,3,6}:{(411,1),(412,1),(416,1),(425,1)}
       422:{1,5}:{(413,1),(414,1)}
       423:{1,6}:{(417,1),(418,1)}
       424:{1,5,7}:{(419,1),(420,1),(422,1),(426,1)}
       425:{2,6}:{(420,1),(421,1),(426,1)}
       426:{1,6}:{(424,1),(425,1)}

 424 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 425 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 426 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(19,1),(38,1),(52,1),(86,1)}
         1:{1,2,4,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(8,1),(9,1),(35,1),(37,1),(60,1),(109,1),(111,1)}
         3:{1,2,6}:{(0,1),(9,1),(77,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(15,1),(42,1),(51,1),(87,1)}
         5:{2,3,5,7}:{(2,1),(11,1),(13,1),(14,1),(16,1),(39,1),(45,1),(48,1),(52,1),(54,1),(87,1),(89,1)}
         6:{1,3,7}:{(1,1),(16,1),(18,1),(134,1),(185,1)}
         7:{1,2,4,6}:{(1,1),(3,1),(18,1),(19,1),(21,1),(53,1),(57,1)}
         8:{1,4,7}:{(2,1),(13,1),(21,1),(57,1),(133,1)}
         9:{1,3,6}:{(2,1),(3,1),(14,1),(21,1),(131,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(62,1),(76,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(29,1),(66,1),(68,1),(73,1),(75,1)}
        12:{1,2,6}:{(4,1),(25,1),(113,1)}
        13:{2,4,7}:{(5,1),(8,1),(24,1),(26,1),(28,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(9,1),(25,1),(28,1),(69,1),(77,1),(113,1)}
        15:{1,2,7}:{(29,1),(30,1),(178,1),(180,1)}
        16:{2,3,7}:{(6,1),(29,1),(31,1),(32,1),(153,1),(163,1),(180,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(26,1),(31,1),(33,1),(34,1),(130,1),(152,1),(163,1)}
        18:{1,3,6}:{(6,1),(7,1),(32,1),(35,1),(181,1)}
        19:{1,2,5}:{(7,1),(35,1),(37,1),(78,1),(162,1)}
        20:{1,4,5,7}:{(8,1),(27,1),(33,1),(36,1),(37,1),(82,1),(83,1),(109,1),(130,1),(151,1),(174,1)}
        21:{1,4,6}:{(8,1),(9,1),(28,1),(37,1)}
        22:{1,3,7}:{(10,1),(39,1),(41,1),(102,1),(188,1)}
        23:{1,2,4,6}:{(10,1),(12,1),(41,1),(42,1),(44,1),(88,1),(92,1)}
        24:{1,4,7}:{(11,1),(13,1),(44,1),(92,1),(101,1)}
        25:{1,3,6}:{(11,1),(12,1),(14,1),(44,1),(99,1)}
        26:{3,4,7}:{(13,1),(45,1),(46,1),(106,1),(138,1),(141,1)}
        27:{2,4,5,7}:{(13,1),(20,1),(43,1),(45,1),(47,1),(48,1),(52,1),(87,1),(97,1),(98,1),(105,1),(137,1),(141,1),(147,1),(169,1)}
        28:{2,4,6}:{(13,1),(14,1),(21,1),(44,1),(46,1),(48,1)}
        29:{1,3,7}:{(15,1),(16,1),(49,1),(50,1),(168,1)}
        30:{1,2,6}:{(15,1),(50,1),(51,1),(172,1)}
        31:{2,4,7}:{(16,1),(17,1),(49,1),(52,1),(53,1),(167,1)}
        32:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(148,1),(172,1)}
        33:{1,3,5,7}:{(17,1),(20,1),(45,1),(52,1),(55,1),(56,1),(166,1),(182,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(21,1),(46,1),(53,1),(55,1),(56,1),(57,1),(106,1),(108,1),(148,1)}
        35:{1,3,5}:{(18,1),(19,1),(54,1),(57,1),(146,1),(173,1)}
        36:{1,4,6}:{(20,1),(47,1),(55,1),(59,1),(131,1)}
        37:{1,5}:{(21,1),(48,1)}
        38:{1,2,7}:{(60,1),(61,1),(162,1),(186,1)}
        39:{2,3,7}:{(22,1),(60,1),(62,1),(63,1),(126,1),(179,1),(186,1)}
        40:{1,3,4,7}:{(22,1),(24,1),(26,1),(62,1),(64,1),(65,1),(125,1),(157,1),(179,1)}
        41:{1,3,6}:{(22,1),(23,1),(63,1),(66,1),(187,1)}
        42:{1,2,5}:{(23,1),(66,1),(68,1),(114,1),(178,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(64,1),(67,1),(68,1),(73,1),(118,1),(119,1),(124,1),(157,1),(158,1)}
        44:{1,4,6}:{(24,1),(25,1),(28,1),(68,1)}
        45:{3,5,7}:{(26,1),(27,1),(69,1),(70,1),(129,1),(156,1),(163,1),(179,1)}
        46:{3,4,6}:{(26,1),(28,1),(69,1),(70,1),(121,1)}
        47:{2,4,6}:{(27,1),(36,1),(67,1),(69,1),(72,1),(77,1),(113,1),(121,1)}
        48:{2,5}:{(28,1),(37,1),(68,1),(70,1)}
        49:{1,4,7}:{(29,1),(31,1),(73,1),(74,1),(177,1)}
        50:{1,3,6}:{(29,1),(30,1),(32,1),(74,1),(75,1)}
        51:{1,2,5}:{(30,1),(75,1),(76,1),(160,1)}
        52:{2,5,7}:{(31,1),(33,1),(73,1),(77,1),(78,1),(176,1),(186,1)}
        53:{2,4,6}:{(31,1),(32,1),(34,1),(74,1),(77,1),(78,1),(79,1)}
        54:{2,3,5}:{(32,1),(35,1),(75,1),(78,1),(79,1),(126,1),(129,1),(160,1)}
        55:{1,3,6}:{(33,1),(36,1),(69,1),(77,1)}
        56:{1,3,5}:{(34,1),(37,1),(70,1),(78,1),(82,1),(129,1)}
        57:{1,4}:{(35,1),(79,1)}
        58:{1,4,6,7}:{(36,1),(71,1),(80,1),(83,1),(130,1),(149,1),(174,1)}
        59:{1,5,6}:{(36,1),(37,1),(72,1),(83,1)}
        60:{1,3,7}:{(38,1),(39,1),(84,1),(85,1),(146,1)}
        61:{1,2,6}:{(38,1),(85,1),(86,1),(183,1)}
        62:{2,4,7}:{(39,1),(40,1),(84,1),(87,1),(88,1),(145,1)}
        63:{2,3,6}:{(39,1),(41,1),(85,1),(88,1),(89,1),(170,1),(183,1)}
        64:{1,3,5,7}:{(40,1),(43,1),(45,1),(87,1),(90,1),(91,1),(144,1),(171,1)}
        65:{1,3,4,6}:{(40,1),(41,1),(44,1),(46,1),(88,1),(90,1),(91,1),(92,1),(138,1),(140,1),(170,1)}
        66:{1,3,5}:{(41,1),(42,1),(89,1),(92,1),(168,1),(184,1)}
        67:{1,4,6}:{(43,1),(47,1),(90,1),(94,1),(99,1)}
        68:{1,5}:{(44,1),(48,1)}
        69:{3,6}:{(45,1),(47,1)}
        70:{3,5}:{(46,1),(48,1),(97,1)}
        71:{2,4,6,7}:{(47,1),(58,1),(93,1),(95,1),(98,1),(103,1),(135,1),(141,1),(147,1),(169,1)}
        72:{2,5,6}:{(47,1),(48,1),(59,1),(94,1),(96,1),(98,1)}
        73:{1,5,7}:{(49,1),(52,1),(99,1),(100,1),(184,1),(188,1)}
        74:{1,4,6}:{(49,1),(50,1),(53,1),(99,1),(100,1),(101,1)}
        75:{1,3,5}:{(50,1),(51,1),(54,1),(100,1),(101,1),(102,1)}
        76:{1,2,4}:{(51,1),(101,1),(102,1),(145,1)}
        77:{2,6}:{(52,1),(55,1),(99,1)}
        78:{2,5}:{(53,1),(56,1),(100,1)}
        79:{2,4}:{(54,1),(57,1),(101,1),(106,1)}
        80:{1,3,6,7}:{(55,1),(58,1),(95,1),(103,1),(107,1),(182,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(59,1),(96,1),(104,1),(107,1),(108,1),(148,1)}
        82:{1,4,5}:{(56,1),(57,1),(97,1),(105,1),(108,1),(173,1)}
        83:{1,5,7}:{(58,1),(59,1),(98,1)}
        84:{1,4,7}:{(60,1),(62,1),(109,1),(110,1),(161,1)}
        85:{1,3,6}:{(60,1),(61,1),(63,1),(110,1),(111,1)}
        86:{1,2,5}:{(61,1),(111,1),(112,1),(176,1)}
        87:{2,5,7}:{(62,1),(64,1),(109,1),(113,1),(114,1),(160,1),(180,1)}
        88:{2,4,6}:{(62,1),(63,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,5}:{(63,1),(66,1),(111,1),(114,1),(115,1),(153,1),(156,1),(176,1)}
        90:{1,3,6}:{(64,1),(67,1),(69,1),(113,1)}
        91:{1,3,5}:{(65,1),(68,1),(70,1),(114,1),(118,1),(156,1)}
        92:{1,4}:{(66,1),(115,1)}
        93:{1,4,6,7}:{(67,1),(71,1),(116,1),(119,1),(122,1),(157,1),(158,1)}
        94:{1,5,6}:{(67,1),(68,1),(72,1),(119,1)}
        95:{3,6,7}:{(69,1),(71,1),(120,1),(163,1),(179,1)}
        96:{3,5,6}:{(69,1),(70,1),(72,1),(120,1),(121,1)}
        97:{4,5}:{(70,1),(121,1)}
        98:{2,5,7}:{(71,1),(72,1),(83,1),(119,1),(120,1)}
        99:{1,6}:{(73,1),(77,1)}
       100:{1,5}:{(74,1),(78,1)}
       101:{1,4}:{(75,1),(79,1)}
       102:{1,3}:{(76,1),(126,1)}
       103:{2,6,7}:{(77,1),(80,1),(122,1),(127,1),(186,1)}
       104:{2,5,6}:{(77,1),(78,1),(81,1),(123,1),(127,1),(128,1)}
       105:{2,4,5}:{(78,1),(79,1),(82,1),(124,1),(128,1),(129,1),(160,1)}
       106:{3,4}:{(79,1),(129,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(83,1),(120,1),(127,1),(130,1),(163,1)}
       108:{1,4,6}:{(81,1),(82,1),(121,1),(128,1),(130,1),(181,1)}
       109:{1,5,7}:{(84,1),(87,1),(131,1),(132,1),(173,1),(185,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(131,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(86,1),(89,1),(132,1),(133,1),(134,1)}
       112:{1,2,4}:{(86,1),(133,1),(134,1),(167,1)}
       113:{2,6}:{(87,1),(90,1),(131,1)}
       114:{2,5}:{(88,1),(91,1),(132,1)}
       115:{2,4}:{(89,1),(92,1),(133,1),(138,1)}
       116:{1,3,6,7}:{(90,1),(93,1),(95,1),(135,1),(139,1),(171,1)}
       117:{1,3,5,6}:{(90,1),(91,1),(94,1),(96,1),(136,1),(139,1),(140,1),(170,1)}
       118:{1,4,5}:{(91,1),(92,1),(97,1),(137,1),(140,1),(184,1)}
       119:{1,5,7}:{(93,1),(94,1),(98,1)}
       120:{3,5,7}:{(95,1),(96,1),(98,1),(141,1)}
       121:{4,6}:{(96,1),(97,1),(141,1)}
       122:{1,6,7}:{(99,1),(103,1),(142,1),(188,1)}
       123:{1,5,6}:{(99,1),(100,1),(104,1),(142,1),(143,1)}
       124:{1,4,5}:{(100,1),(101,1),(105,1),(143,1),(144,1)}
       125:{1,3,4}:{(101,1),(102,1),(106,1),(144,1),(145,1)}
       126:{2,3}:{(102,1),(145,1),(146,1)}
       127:{2,5,7}:{(103,1),(104,1),(107,1),(142,1),(147,1)}
       128:{2,4,6}:{(104,1),(105,1),(108,1),(143,1),(147,1),(148,1),(172,1)}
       129:{3,5}:{(105,1),(106,1),(148,1)}
       130:{1,4,7}:{(107,1),(108,1),(141,1),(147,1),(185,1)}
       131:{1,6}:{(109,1),(113,1)}
       132:{1,5}:{(110,1),(114,1)}
       133:{1,4}:{(111,1),(115,1)}
       134:{1,3}:{(112,1),(153,1)}
       135:{2,6,7}:{(113,1),(116,1),(149,1),(154,1),(180,1)}
       136:{2,5,6}:{(113,1),(114,1),(117,1),(150,1),(154,1),(155,1)}
       137:{2,4,5}:{(114,1),(115,1),(118,1),(151,1),(155,1),(156,1),(176,1)}
       138:{3,4}:{(115,1),(156,1)}
       139:{1,3,5,7}:{(116,1),(117,1),(119,1),(120,1),(154,1),(157,1),(179,1)}
       140:{1,4,6}:{(117,1),(118,1),(121,1),(155,1),(157,1),(187,1)}
       141:{4,7}:{(120,1),(121,1)}
       142:{1,5,7}:{(122,1),(123,1),(127,1),(158,1)}
       143:{1,4,6}:{(123,1),(124,1),(128,1),(158,1),(159,1)}
       144:{1,3,5}:{(124,1),(125,1),(129,1),(159,1),(160,1)}
       145:{2,4}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,3}:{(126,1),(161,1),(162,1)}
       147:{2,4,7}:{(127,1),(128,1),(130,1),(158,1),(163,1),(180,1)}
       148:{3,6}:{(128,1),(129,1),(163,1)}
       149:{1,6,7}:{(131,1),(135,1),(164,1),(185,1)}
       150:{1,5,6}:{(131,1),(132,1),(136,1),(164,1),(165,1)}
       151:{1,4,5}:{(132,1),(133,1),(137,1),(165,1),(166,1)}
       152:{1,3,4}:{(133,1),(134,1),(138,1),(166,1),(167,1)}
       153:{2,3}:{(134,1),(167,1),(168,1)}
       154:{2,5,7}:{(135,1),(136,1),(139,1),(164,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(140,1),(165,1),(169,1),(170,1),(183,1)}
       156:{3,5}:{(137,1),(138,1),(170,1)}
       157:{1,4,7}:{(139,1),(140,1),(141,1),(169,1),(188,1)}
       158:{1,4,7}:{(142,1),(143,1),(147,1),(171,1)}
       159:{1,3,6}:{(143,1),(144,1),(148,1),(171,1),(172,1)}
       160:{2,5}:{(144,1),(145,1),(172,1),(173,1)}
       161:{1,4}:{(145,1),(146,1),(173,1)}
       162:{1,2}:{(146,1)}
       163:{3,7}:{(147,1),(148,1)}
       164:{1,5,7}:{(149,1),(150,1),(154,1),(174,1)}
       165:{1,4,6}:{(150,1),(151,1),(155,1),(174,1),(175,1)}
       166:{1,3,5}:{(151,1),(152,1),(156,1),(175,1),(176,1)}
       167:{2,4}:{(152,1),(153,1),(176,1),(177,1)}
       168:{1,3}:{(153,1),(177,1),(178,1)}
       169:{2,4,7}:{(154,1),(155,1),(157,1),(174,1),(179,1),(186,1)}
       170:{3,6}:{(155,1),(156,1),(179,1)}
       171:{1,3,7}:{(158,1),(159,1),(163,1),(180,1)}
       172:{2,6}:{(159,1),(160,1),(180,1),(181,1)}
       173:{1,5}:{(160,1),(161,1),(181,1)}
       174:{1,4,7}:{(164,1),(165,1),(169,1),(182,1)}
       175:{1,3,6}:{(165,1),(166,1),(170,1),(182,1),(183,1)}
       176:{2,5}:{(166,1),(167,1),(183,1),(184,1)}
       177:{1,4}:{(167,1),(168,1),(184,1)}
       178:{1,2}:{(168,1)}
       179:{3,7}:{(169,1),(170,1)}
       180:{2,7}:{(171,1),(172,1),(185,1)}
       181:{1,6}:{(172,1),(173,1),(185,1)}
       182:{1,3,7}:{(174,1),(175,1),(179,1),(186,1)}
       183:{2,6}:{(175,1),(176,1),(186,1),(187,1)}
       184:{1,5}:{(176,1),(177,1),(187,1)}
       185:{1,7}:{(180,1),(181,1)}
       186:{2,7}:{(182,1),(183,1),(188,1)}
       187:{1,6}:{(183,1),(184,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 427 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(35,1),(47,1)}
         1:{1,2,4}:{(0,1),(6,1),(9,1),(30,1)}
         2:{1,2,6}:{(0,1),(7,1),(8,1),(65,1)}
         3:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(9,1),(32,1),(52,1),(84,1)}
         4:{1,2,5}:{(10,1),(11,1),(12,1),(15,1),(70,1)}
         5:{2,3,5}:{(3,1),(12,1),(13,1),(14,1),(16,1),(36,1),(42,1),(43,1),(47,1),(70,1)}
         6:{1,3}:{(1,1),(16,1)}
         7:{1,3,6}:{(2,1),(3,1),(13,1),(18,1),(19,1),(95,1)}
         8:{1,2,7}:{(2,1),(19,1),(82,1)}
         9:{1,4}:{(3,1),(14,1)}
        10:{1,2,4}:{(4,1),(21,1),(24,1),(53,1)}
        11:{1,2,6}:{(4,1),(22,1),(23,1),(85,1)}
        12:{1,3,5}:{(4,1),(5,1),(21,1),(22,1),(24,1),(29,1),(55,1),(64,1)}
        13:{2,3,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(60,1),(65,1),(85,1)}
        14:{2,4}:{(5,1),(9,1),(24,1),(25,1)}
        15:{1,2}:{(29,1)}
        16:{2,3}:{(6,1),(29,1),(30,1)}
        17:{1,3,4}:{(6,1),(9,1),(25,1),(30,1),(31,1)}
        18:{1,4,6}:{(7,1),(9,1),(26,1),(32,1),(33,1),(68,1)}
        19:{1,3,7}:{(7,1),(8,1),(27,1),(33,1),(101,1)}
        20:{1,4,5}:{(9,1),(28,1),(31,1),(32,1),(34,1),(84,1)}
        21:{1,3}:{(10,1),(36,1)}
        22:{1,3,6}:{(11,1),(12,1),(13,1),(38,1),(39,1),(81,1)}
        23:{1,2,7}:{(11,1),(39,1),(96,1)}
        24:{1,4}:{(12,1),(14,1)}
        25:{3,4}:{(14,1),(42,1)}
        26:{2,4,6}:{(13,1),(14,1),(18,1),(38,1),(41,1),(43,1),(44,1),(80,1)}
        27:{2,3,7}:{(13,1),(19,1),(39,1),(44,1),(78,1),(82,1),(96,1)}
        28:{2,4,5}:{(14,1),(20,1),(40,1),(42,1),(43,1),(45,1),(47,1),(70,1),(75,1)}
        29:{1,3}:{(15,1),(16,1),(46,1)}
        30:{2,4}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,3,5}:{(17,1),(20,1),(42,1),(47,1),(48,1)}
        32:{1,5}:{(18,1),(43,1)}
        33:{1,4,7}:{(18,1),(19,1),(44,1),(50,1)}
        34:{1,4,6}:{(20,1),(45,1),(48,1),(49,1),(51,1),(95,1)}
        35:{1,2}:{(52,1)}
        36:{2,3}:{(21,1),(52,1),(53,1)}
        37:{1,3,4}:{(21,1),(24,1),(25,1),(53,1),(54,1)}
        38:{1,4,6}:{(22,1),(24,1),(26,1),(55,1),(56,1),(88,1)}
        39:{1,3,7}:{(22,1),(23,1),(27,1),(56,1),(94,1)}
        40:{1,4,5}:{(24,1),(28,1),(54,1),(55,1),(57,1),(64,1)}
        41:{3,4,6}:{(25,1),(26,1),(58,1),(59,1),(60,1),(89,1),(92,1)}
        42:{3,5}:{(25,1),(28,1),(60,1)}
        43:{2,5}:{(26,1),(32,1),(55,1),(58,1)}
        44:{2,4,7}:{(26,1),(27,1),(33,1),(56,1),(59,1),(62,1)}
        45:{2,4,6}:{(28,1),(34,1),(57,1),(60,1),(61,1),(63,1),(65,1),(85,1),(89,1)}
        46:{1,4}:{(29,1),(30,1),(64,1)}
        47:{2,5}:{(30,1),(31,1),(64,1),(65,1)}
        48:{1,3,6}:{(31,1),(34,1),(60,1),(65,1),(66,1)}
        49:{1,5,6}:{(32,1),(34,1),(61,1),(67,1),(68,1)}
        50:{1,5,7}:{(32,1),(33,1),(62,1),(68,1)}
        51:{1,4,7}:{(34,1),(63,1),(66,1),(67,1),(101,1)}
        52:{1,3}:{(35,1),(36,1),(69,1)}
        53:{2,4}:{(36,1),(37,1),(69,1),(70,1)}
        54:{1,3,5}:{(37,1),(40,1),(42,1),(70,1),(71,1)}
        55:{1,5}:{(38,1),(43,1)}
        56:{1,4,7}:{(38,1),(39,1),(44,1),(73,1)}
        57:{1,4,6}:{(40,1),(45,1),(71,1),(72,1),(74,1),(81,1)}
        58:{3,5}:{(41,1),(43,1),(75,1)}
        59:{3,4,7}:{(41,1),(44,1),(77,1),(78,1),(98,1)}
        60:{3,6}:{(42,1),(45,1),(78,1)}
        61:{2,5,6}:{(43,1),(45,1),(49,1),(72,1),(76,1),(79,1),(80,1)}
        62:{2,5,7}:{(43,1),(44,1),(50,1),(73,1),(77,1),(80,1)}
        63:{2,4,7}:{(45,1),(51,1),(74,1),(78,1),(79,1),(82,1),(96,1),(98,1)}
        64:{1,5}:{(46,1),(47,1),(81,1)}
        65:{2,6}:{(47,1),(48,1),(81,1),(82,1)}
        66:{1,3,7}:{(48,1),(51,1),(78,1),(82,1)}
        67:{1,5,7}:{(49,1),(51,1),(79,1),(83,1)}
        68:{1,6}:{(50,1),(80,1)}
        69:{1,4}:{(52,1),(53,1),(84,1)}
        70:{2,5}:{(53,1),(54,1),(84,1),(85,1)}
        71:{1,3,6}:{(54,1),(57,1),(60,1),(85,1),(86,1)}
        72:{1,5,6}:{(55,1),(57,1),(61,1),(87,1),(88,1)}
        73:{1,5,7}:{(55,1),(56,1),(62,1),(88,1)}
        74:{1,4,7}:{(57,1),(63,1),(86,1),(87,1),(94,1)}
        75:{4,5}:{(58,1),(89,1)}
        76:{3,5,6}:{(58,1),(60,1),(61,1),(89,1),(91,1),(92,1),(103,1)}
        77:{3,5,7}:{(58,1),(59,1),(62,1),(90,1),(92,1)}
        78:{3,7}:{(60,1),(63,1)}
        79:{2,5,7}:{(61,1),(63,1),(67,1),(87,1),(91,1),(93,1)}
        80:{2,6}:{(62,1),(68,1),(88,1),(92,1)}
        81:{1,6}:{(64,1),(65,1),(94,1)}
        82:{2,7}:{(65,1),(66,1),(94,1)}
        83:{1,6,7}:{(67,1),(68,1),(93,1)}
        84:{1,5}:{(69,1),(70,1),(95,1)}
        85:{2,6}:{(70,1),(71,1),(95,1),(96,1)}
        86:{1,3,7}:{(71,1),(74,1),(78,1),(96,1)}
        87:{1,5,7}:{(72,1),(74,1),(79,1),(97,1)}
        88:{1,6}:{(73,1),(80,1)}
        89:{4,6}:{(75,1),(76,1),(98,1)}
        90:{4,5,7}:{(75,1),(77,1),(98,1),(99,1),(104,1)}
        91:{3,5,7}:{(76,1),(78,1),(79,1),(98,1),(100,1),(104,1)}
        92:{3,6}:{(77,1),(80,1),(99,1)}
        93:{2,6,7}:{(79,1),(80,1),(83,1),(97,1),(100,1)}
        94:{1,7}:{(81,1),(82,1)}
        95:{1,6}:{(84,1),(85,1),(101,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6,7}:{(87,1),(88,1),(93,1)}
        98:{4,7}:{(89,1),(91,1)}
        99:{4,6}:{(90,1),(92,1),(103,1)}
       100:{3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 428 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(82,1)}
         1:{1,2,5}:{(0,1),(6,1),(7,1),(50,1),(64,1)}
         2:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(101,1)}
         3:{1,2,7}:{(0,1),(9,1),(94,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(96,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(78,1),(82,1),(96,1)}
         6:{1,2,4}:{(1,1),(16,1),(17,1),(45,1)}
         7:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(17,1),(18,1),(68,1),(95,1)}
         8:{1,4,6}:{(2,1),(14,1),(17,1),(18,1),(19,1),(49,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(19,1),(104,1)}
        10:{1,2,5}:{(4,1),(20,1),(21,1),(28,1),(85,1)}
        11:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1),(93,1)}
        12:{1,2,7}:{(4,1),(23,1),(102,1)}
        13:{2,3,5}:{(5,1),(7,1),(21,1),(25,1),(26,1),(29,1),(51,1),(59,1),(64,1),(85,1)}
        14:{2,4,6}:{(5,1),(8,1),(22,1),(24,1),(25,1),(26,1),(27,1),(62,1)}
        15:{2,3,7}:{(5,1),(9,1),(23,1),(27,1),(92,1),(94,1),(102,1)}
        16:{1,3}:{(6,1),(29,1)}
        17:{1,4}:{(7,1),(25,1)}
        18:{1,5}:{(8,1),(26,1)}
        19:{1,4,7}:{(8,1),(9,1),(27,1),(33,1)}
        20:{1,2,4}:{(10,1),(34,1),(35,1),(69,1)}
        21:{1,3,5}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(44,1),(81,1)}
        22:{1,4,6}:{(11,1),(14,1),(35,1),(36,1),(37,1),(73,1)}
        23:{1,3,7}:{(11,1),(12,1),(15,1),(37,1),(100,1)}
        24:{3,4,6}:{(14,1),(38,1),(39,1),(40,1),(74,1),(77,1),(78,1)}
        25:{2,4}:{(13,1),(17,1),(35,1),(40,1)}
        26:{2,5}:{(14,1),(18,1),(36,1),(38,1)}
        27:{2,4,7}:{(14,1),(15,1),(19,1),(37,1),(39,1),(43,1)}
        28:{1,2}:{(44,1)}
        29:{2,3}:{(16,1),(44,1),(45,1)}
        30:{1,3,4}:{(16,1),(17,1),(40,1),(45,1),(46,1)}
        31:{1,4,5}:{(17,1),(18,1),(41,1),(46,1),(47,1),(95,1)}
        32:{1,5,6}:{(18,1),(42,1),(47,1),(48,1),(49,1)}
        33:{1,5,7}:{(18,1),(19,1),(43,1),(49,1)}
        34:{1,3}:{(20,1),(51,1)}
        35:{1,4}:{(21,1),(25,1)}
        36:{1,5}:{(22,1),(26,1)}
        37:{1,4,7}:{(22,1),(23,1),(27,1),(55,1)}
        38:{3,5}:{(24,1),(26,1),(56,1)}
        39:{3,4,7}:{(24,1),(27,1),(58,1),(89,1),(92,1)}
        40:{3,4}:{(25,1),(59,1)}
        41:{2,4,5}:{(25,1),(26,1),(31,1),(53,1),(56,1),(59,1),(60,1),(64,1),(85,1)}
        42:{2,5,6}:{(26,1),(32,1),(54,1),(57,1),(60,1),(61,1),(62,1)}
        43:{2,5,7}:{(26,1),(27,1),(33,1),(55,1),(58,1),(62,1)}
        44:{1,3}:{(28,1),(29,1),(63,1)}
        45:{2,4}:{(29,1),(30,1),(63,1),(64,1)}
        46:{1,3,5}:{(30,1),(31,1),(59,1),(64,1),(65,1)}
        47:{1,4,6}:{(31,1),(32,1),(60,1),(65,1),(66,1),(101,1)}
        48:{1,5,7}:{(32,1),(61,1),(66,1),(67,1)}
        49:{1,6}:{(33,1),(62,1)}
        50:{1,2}:{(68,1)}
        51:{2,3}:{(34,1),(68,1),(69,1)}
        52:{1,3,4}:{(34,1),(35,1),(40,1),(69,1),(70,1)}
        53:{1,4,5}:{(35,1),(36,1),(41,1),(70,1),(71,1),(81,1)}
        54:{1,5,6}:{(36,1),(42,1),(71,1),(72,1),(73,1)}
        55:{1,5,7}:{(36,1),(37,1),(43,1),(73,1)}
        56:{4,5}:{(38,1),(74,1)}
        57:{3,5,6}:{(38,1),(42,1),(74,1),(76,1),(77,1),(78,1),(99,1)}
        58:{3,5,7}:{(38,1),(39,1),(43,1),(75,1),(77,1)}
        59:{3,5}:{(40,1),(41,1),(78,1)}
        60:{2,4,6}:{(41,1),(42,1),(47,1),(71,1),(74,1),(78,1),(79,1),(82,1),(96,1)}
        61:{2,5,7}:{(42,1),(48,1),(72,1),(76,1),(79,1),(80,1)}
        62:{2,6}:{(43,1),(49,1),(73,1),(77,1)}
        63:{1,4}:{(44,1),(45,1),(81,1)}
        64:{2,5}:{(45,1),(46,1),(81,1),(82,1)}
        65:{1,3,6}:{(46,1),(47,1),(78,1),(82,1),(83,1)}
        66:{1,4,7}:{(47,1),(48,1),(79,1),(83,1),(104,1)}
        67:{1,6,7}:{(48,1),(49,1),(80,1)}
        68:{1,3}:{(50,1),(51,1),(84,1)}
        69:{2,4}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,5}:{(52,1),(53,1),(59,1),(85,1),(86,1)}
        71:{1,4,6}:{(53,1),(54,1),(60,1),(86,1),(87,1),(93,1)}
        72:{1,5,7}:{(54,1),(61,1),(87,1),(88,1)}
        73:{1,6}:{(55,1),(62,1)}
        74:{4,6}:{(56,1),(57,1),(89,1)}
        75:{4,5,7}:{(56,1),(58,1),(89,1),(90,1),(103,1)}
        76:{3,5,7}:{(57,1),(61,1),(89,1),(91,1),(92,1),(103,1)}
        77:{3,6}:{(58,1),(62,1),(90,1)}
        78:{3,6}:{(59,1),(60,1),(92,1)}
        79:{2,4,7}:{(60,1),(61,1),(66,1),(87,1),(89,1),(92,1),(94,1),(102,1)}
        80:{2,6,7}:{(61,1),(62,1),(67,1),(88,1),(91,1)}
        81:{1,5}:{(63,1),(64,1),(93,1)}
        82:{2,6}:{(64,1),(65,1),(93,1),(94,1)}
        83:{1,3,7}:{(65,1),(66,1),(92,1),(94,1)}
        84:{1,4}:{(68,1),(69,1),(95,1)}
        85:{2,5}:{(69,1),(70,1),(95,1),(96,1)}
        86:{1,3,6}:{(70,1),(71,1),(78,1),(96,1),(97,1)}
        87:{1,4,7}:{(71,1),(72,1),(79,1),(97,1),(100,1)}
        88:{1,6,7}:{(72,1),(73,1),(80,1)}
        89:{4,7}:{(74,1),(76,1)}
        90:{4,6}:{(75,1),(77,1),(99,1)}
        91:{3,6,7}:{(76,1),(77,1),(80,1),(98,1)}
        92:{3,7}:{(78,1),(79,1)}
        93:{1,6}:{(81,1),(82,1),(100,1)}
        94:{2,7}:{(82,1),(83,1),(100,1)}
        95:{1,5}:{(84,1),(85,1),(101,1)}
        96:{2,6}:{(85,1),(86,1),(101,1),(102,1)}
        97:{1,3,7}:{(86,1),(87,1),(92,1),(102,1)}
        98:{4,6,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{5,6}:{(90,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{1,6}:{(95,1),(96,1),(104,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

 429 :   0:{1,2,7}:{(1,1),(2,1),(96,1)}
         1:{1,3,7}:{(0,1),(4,1),(5,1),(6,1),(104,1)}
         2:{1,2,6}:{(0,1),(6,1),(7,1),(86,1)}
         3:{1,2,7}:{(8,1),(9,1),(102,1)}
         4:{2,3,7}:{(1,1),(8,1),(10,1),(11,1),(95,1),(96,1),(102,1)}
         5:{1,4,7}:{(1,1),(10,1),(12,1),(13,1)}
         6:{1,3,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(103,1)}
         7:{1,2,5}:{(2,1),(14,1),(15,1),(71,1),(92,1)}
         8:{1,3,7}:{(3,1),(4,1),(16,1),(17,1),(101,1)}
         9:{1,2,6}:{(3,1),(17,1),(18,1),(99,1)}
        10:{2,4,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(21,1)}
        11:{2,3,6}:{(4,1),(6,1),(17,1),(21,1),(22,1),(84,1),(86,1),(99,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(24,1)}
        13:{1,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(24,1),(25,1),(26,1),(78,1),(100,1)}
        15:{1,2,4}:{(7,1),(25,1),(26,1),(55,1)}
        16:{1,4,7}:{(8,1),(10,1),(27,1),(28,1)}
        17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(97,1)}
        18:{1,2,5}:{(9,1),(29,1),(30,1),(73,1),(90,1)}
        19:{3,4,7}:{(10,1),(31,1),(32,1),(94,1),(95,1)}
        20:{2,5,7}:{(10,1),(12,1),(27,1),(31,1),(33,1),(34,1)}
        21:{2,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1),(33,1),(34,1),(35,1)}
        22:{2,3,5}:{(11,1),(14,1),(29,1),(34,1),(35,1),(40,1),(61,1),(68,1),(71,1),(90,1)}
        23:{1,6}:{(12,1),(33,1)}
        24:{1,5}:{(13,1),(34,1)}
        25:{1,4}:{(14,1),(35,1)}
        26:{1,3}:{(15,1),(40,1)}
        27:{1,5,7}:{(16,1),(20,1),(41,1),(42,1)}
        28:{1,4,6}:{(16,1),(17,1),(21,1),(41,1),(42,1),(43,1)}
        29:{1,3,5}:{(17,1),(18,1),(22,1),(42,1),(43,1),(44,1),(56,1),(87,1)}
        30:{1,2,4}:{(18,1),(43,1),(44,1),(77,1)}
        31:{3,5,7}:{(19,1),(20,1),(45,1),(46,1),(47,1)}
        32:{3,4,6}:{(19,1),(21,1),(46,1),(47,1),(51,1),(82,1),(84,1)}
        33:{2,6}:{(20,1),(23,1),(41,1),(46,1)}
        34:{2,5}:{(21,1),(24,1),(42,1),(47,1)}
        35:{2,4}:{(22,1),(25,1),(43,1),(51,1)}
        36:{1,6,7}:{(23,1),(48,1),(52,1)}
        37:{1,5,6}:{(23,1),(24,1),(49,1),(52,1),(53,1)}
        38:{1,4,5}:{(24,1),(25,1),(50,1),(53,1),(54,1),(100,1)}
        39:{1,3,4}:{(25,1),(26,1),(51,1),(54,1),(55,1)}
        40:{2,3}:{(26,1),(55,1),(56,1)}
        41:{1,6}:{(27,1),(33,1)}
        42:{1,5}:{(28,1),(34,1)}
        43:{1,4}:{(29,1),(35,1)}
        44:{1,3}:{(30,1),(61,1)}
        45:{4,5,7}:{(31,1),(62,1),(65,1),(93,1),(94,1)}
        46:{3,6}:{(31,1),(33,1),(62,1)}
        47:{3,5}:{(32,1),(34,1),(65,1)}
        48:{2,6,7}:{(33,1),(36,1),(57,1),(63,1),(66,1)}
        49:{2,5,6}:{(33,1),(34,1),(37,1),(58,1),(64,1),(66,1),(67,1)}
        50:{2,4,5}:{(34,1),(35,1),(38,1),(59,1),(65,1),(67,1),(68,1),(71,1),(90,1)}
        51:{3,4}:{(35,1),(68,1)}
        52:{1,5,7}:{(36,1),(37,1),(66,1),(69,1)}
        53:{1,4,6}:{(37,1),(38,1),(67,1),(69,1),(70,1),(103,1)}
        54:{1,3,5}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        55:{2,4}:{(39,1),(40,1),(71,1),(72,1)}
        56:{1,3}:{(40,1),(72,1),(73,1)}
        57:{1,6,7}:{(41,1),(48,1),(74,1)}
        58:{1,5,6}:{(41,1),(42,1),(49,1),(74,1),(75,1)}
        59:{1,4,5}:{(42,1),(43,1),(50,1),(75,1),(76,1),(87,1)}
        60:{1,3,4}:{(43,1),(44,1),(51,1),(76,1),(77,1)}
        61:{2,3}:{(44,1),(77,1),(78,1)}
        62:{4,6}:{(45,1),(46,1),(80,1)}
        63:{3,6,7}:{(46,1),(48,1),(79,1),(81,1)}
        64:{3,5,6}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1),(84,1)}
        65:{4,5}:{(47,1),(82,1)}
        66:{2,5,7}:{(48,1),(49,1),(52,1),(74,1),(81,1),(83,1)}
        67:{2,4,6}:{(49,1),(50,1),(53,1),(75,1),(82,1),(83,1),(84,1),(86,1),(99,1)}
        68:{3,5}:{(50,1),(51,1),(84,1)}
        69:{1,4,7}:{(52,1),(53,1),(83,1),(85,1),(104,1)}
        70:{1,3,6}:{(53,1),(54,1),(84,1),(85,1),(86,1)}
        71:{2,5}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,4}:{(55,1),(56,1),(87,1)}
        73:{1,2}:{(56,1)}
        74:{1,5,7}:{(57,1),(58,1),(66,1),(88,1)}
        75:{1,4,6}:{(58,1),(59,1),(67,1),(88,1),(89,1),(97,1)}
        76:{1,3,5}:{(59,1),(60,1),(68,1),(89,1),(90,1)}
        77:{2,4}:{(60,1),(61,1),(90,1),(91,1)}
        78:{1,3}:{(61,1),(91,1),(92,1)}
        79:{4,6,7}:{(62,1),(63,1),(93,1),(94,1)}
        80:{5,6}:{(62,1),(93,1)}
        81:{3,5,7}:{(63,1),(64,1),(66,1),(93,1),(94,1),(95,1)}
        82:{4,6}:{(64,1),(65,1),(94,1)}
        83:{2,4,7}:{(66,1),(67,1),(69,1),(88,1),(94,1),(95,1),(96,1),(102,1)}
        84:{3,6}:{(67,1),(68,1),(95,1)}
        85:{1,3,7}:{(69,1),(70,1),(95,1),(96,1)}
        86:{2,6}:{(70,1),(71,1),(96,1),(97,1)}
        87:{1,5}:{(71,1),(72,1),(97,1)}
        88:{1,4,7}:{(74,1),(75,1),(83,1),(98,1),(101,1)}
        89:{1,3,6}:{(75,1),(76,1),(84,1),(98,1),(99,1)}
        90:{2,5}:{(76,1),(77,1),(99,1),(100,1)}
        91:{1,4}:{(77,1),(78,1),(100,1)}
        92:{1,2}:{(78,1)}
        93:{5,7}:{(79,1),(80,1)}
        94:{4,7}:{(81,1),(82,1)}
        95:{3,7}:{(83,1),(84,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6}:{(86,1),(87,1),(101,1)}
        98:{1,3,7}:{(88,1),(89,1),(95,1),(102,1)}
        99:{2,6}:{(89,1),(90,1),(102,1),(103,1)}
       100:{1,5}:{(90,1),(91,1),(103,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{2,7}:{(98,1),(99,1),(104,1)}
       103:{1,6}:{(99,1),(100,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 430 :  0:{1,2}:{(1,1)}
        1:{1,3}:{(0,1),(3,1),(4,1)}
        2:{1,2}:{(5,1)}
        3:{2,3}:{(1,1),(5,1),(6,1)}
        4:{1,4}:{(1,1),(6,1),(7,1)}
        5:{1,3}:{(2,1),(3,1),(8,1)}
        6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
        7:{1,5}:{(4,1),(10,1),(11,1)}
        8:{1,4}:{(5,1),(6,1),(12,1)}
        9:{3,4}:{(6,1),(13,1)}
       10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
       11:{1,6}:{(7,1),(14,1),(15,1)}
       12:{1,5}:{(8,1),(10,1),(16,1)}
       13:{3,5}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,6}:{(10,1),(11,1),(16,1),(18,1),(19,1)}
       15:{1,7}:{(11,1),(19,1)}
       16:{1,6}:{(12,1),(14,1),(20,1)}
       17:{4,5}:{(13,1),(21,1)}
       18:{3,6}:{(13,1),(14,1),(21,1),(22,1)}
       19:{2,7}:{(14,1),(15,1),(20,1),(22,1)}
       20:{1,7}:{(16,1),(19,1)}
       21:{4,6}:{(17,1),(18,1),(23,1),(24,1)}
       22:{3,7}:{(18,1),(19,1),(24,1)}
       23:{5,6}:{(21,1),(25,1)}
       24:{4,7}:{(21,1),(22,1),(25,1)}
       25:{5,7}:{(23,1),(24,1),(26,1)}
       26:{6,7}:{(25,1)}

 431 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(22,1),(41,1),(43,1),(51,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(26,1),(35,1),(58,1)}
         2:{1,3,5}:{(0,1),(6,1),(9,1),(33,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(10,1),(25,1),(36,1),(61,1),(63,1),(71,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(51,1),(76,1),(84,1),(113,1)}
         5:{1,4,6}:{(1,1),(11,1),(14,1),(15,1),(41,1),(50,1)}
         6:{2,5}:{(1,1),(2,1),(14,1)}
         7:{2,4,7}:{(1,1),(3,1),(13,1),(15,1),(18,1),(40,1),(168,1)}
         8:{1,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(22,1),(51,1),(57,1),(93,1)}
         9:{1,4,5}:{(2,1),(17,1),(19,1),(41,1),(87,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(54,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(6,1),(24,1),(26,1),(33,1),(68,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(7,1),(25,1),(71,1),(95,1),(103,1),(171,1)}
        14:{1,5}:{(5,1),(6,1)}
        15:{1,4,7}:{(5,1),(7,1),(25,1),(30,1),(172,1)}
        16:{2,5,6}:{(6,1),(8,1),(28,1),(31,1),(32,1),(35,1)}
        17:{2,4,5}:{(6,1),(9,1),(26,1),(29,1),(31,1),(33,1),(58,1),(68,1)}
        18:{2,5,7}:{(6,1),(7,1),(10,1),(30,1),(35,1),(164,1),(165,1)}
        19:{1,4,6}:{(8,1),(9,1),(31,1),(36,1),(102,1),(110,1)}
        20:{1,3,5,7}:{(8,1),(32,1),(36,1),(37,1),(71,1),(75,1),(109,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(34,1),(36,1),(38,1),(61,1),(75,1),(100,1),(106,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(35,1),(38,1),(73,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(14,1),(39,1),(41,1),(76,1),(87,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(15,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(18,1),(42,1),(44,1),(45,1),(54,1),(83,1),(88,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(16,1),(46,1),(47,1),(50,1)}
        29:{1,4,5}:{(14,1),(17,1),(41,1),(46,1),(48,1)}
        30:{1,5,7}:{(14,1),(15,1),(18,1),(50,1),(169,1),(170,1)}
        31:{2,4,6}:{(16,1),(17,1),(19,1),(46,1),(51,1),(52,1),(84,1)}
        32:{2,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1)}
        33:{3,5}:{(17,1),(43,1),(51,1),(76,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(21,1),(44,1),(49,1),(52,1),(54,1),(55,1),(77,1),(83,1),(88,1),(92,1),(114,1),(118,1),(125,1),(141,1),(143,1),(145,1)}
        35:{2,6}:{(18,1),(22,1),(50,1)}
        36:{1,4,7}:{(19,1),(20,1),(52,1),(119,1),(125,1)}
        37:{1,3,6,7}:{(20,1),(22,1),(53,1),(56,1),(91,1),(160,1)}
        38:{1,4,6}:{(21,1),(22,1),(55,1),(57,1),(122,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(30,1),(59,1),(61,1),(62,1),(95,1),(100,1),(106,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(33,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(35,1),(62,1),(64,1),(73,1),(107,1)}
        46:{1,4,6}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(32,1),(66,1),(67,1)}
        48:{1,3,5}:{(29,1),(33,1),(60,1),(65,1),(68,1)}
        49:{1,4,5,7}:{(29,1),(30,1),(34,1),(61,1),(66,1),(69,1),(70,1),(100,1),(105,1),(132,1),(135,1)}
        50:{1,6}:{(30,1),(35,1)}
        51:{3,6}:{(31,1),(33,1),(71,1)}
        52:{2,4,7}:{(31,1),(32,1),(36,1),(66,1),(71,1),(103,1)}
        53:{2,6,7}:{(32,1),(35,1),(37,1),(67,1),(165,1)}
        54:{3,5,7}:{(33,1),(34,1),(63,1),(71,1),(73,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        55:{2,4,6}:{(34,1),(35,1),(38,1),(70,1),(73,1),(74,1),(107,1),(110,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(133,1),(153,1)}
        57:{1,5,6}:{(38,1),(74,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(48,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(50,1),(78,1),(81,1),(113,1),(122,1)}
        63:{3,4,7}:{(43,1),(44,1),(54,1),(82,1),(125,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(51,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(52,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(53,1),(170,1)}
        68:{2,5}:{(48,1),(79,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(48,1),(49,1),(54,1),(80,1),(85,1),(88,1),(89,1),(117,1)}
        70:{1,4,6}:{(49,1),(50,1),(55,1),(89,1),(90,1)}
        71:{3,7}:{(51,1),(52,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(55,1),(56,1),(86,1),(91,1),(92,1),(120,1),(125,1),(145,1)}
        73:{3,6}:{(54,1),(55,1)}
        74:{2,5,6}:{(55,1),(57,1),(83,1),(90,1),(92,1),(93,1),(114,1)}
        75:{1,5,7}:{(56,1),(57,1),(92,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(68,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(69,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(73,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(68,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(71,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(70,1),(72,1),(104,1),(105,1),(135,1)}
        87:{1,5}:{(68,1),(97,1),(102,1)}
        88:{2,5,7}:{(68,1),(69,1),(98,1),(103,1),(106,1),(107,1),(131,1)}
        89:{1,3,6}:{(69,1),(70,1),(73,1),(107,1)}
        90:{1,5,6}:{(70,1),(74,1),(100,1),(105,1)}
        91:{3,6,7}:{(71,1),(72,1),(73,1),(109,1),(154,1)}
        92:{2,5,7}:{(72,1),(74,1),(75,1),(105,1),(109,1)}
        93:{3,5,6}:{(73,1),(74,1),(101,1),(109,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(87,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(88,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(113,1),(116,1),(117,1),(124,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(87,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(89,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(90,1),(92,1)}
       106:{1,5,7}:{(87,1),(88,1),(115,1),(119,1),(122,1),(142,1)}
       107:{2,6}:{(88,1),(89,1),(122,1)}
       108:{1,3,5,6}:{(89,1),(90,1),(93,1),(117,1),(121,1),(123,1),(124,1),(147,1)}
       109:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       110:{4,6}:{(93,1),(118,1),(125,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(106,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(107,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(107,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(108,1),(109,1),(134,1),(135,1),(154,1)}
       122:{1,6}:{(106,1),(107,1)}
       123:{2,5,6}:{(107,1),(108,1),(131,1),(134,1),(136,1),(137,1)}
       124:{1,4,6}:{(108,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       125:{4,7}:{(109,1),(110,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(122,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(124,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(122,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(123,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(124,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(122,1),(123,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(123,1),(124,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 432 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(11,1),(43,1),(46,1),(61,1),(83,1),(101,1),(163,1)}
         1:{2,4,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1),(168,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(32,1),(159,1),(160,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(25,1),(40,1),(66,1),(67,1),(68,1),(70,1),(82,1),(103,1),(105,1),(138,1)}
         4:{2,3,7}:{(1,1),(11,1),(13,1),(83,1),(101,1),(133,1),(171,1)}
         5:{1,4,7}:{(1,1),(11,1),(14,1),(15,1),(172,1)}
         6:{2,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(164,1),(165,1)}
         7:{2,4,6}:{(1,1),(3,1),(13,1),(15,1),(17,1),(18,1),(42,1),(48,1),(85,1)}
         8:{1,4,5,7}:{(2,1),(16,1),(19,1),(22,1),(43,1),(60,1),(61,1),(88,1),(91,1),(151,1),(153,1)}
         9:{1,3,6}:{(2,1),(17,1),(19,1),(54,1)}
        10:{1,3,5}:{(3,1),(18,1),(22,1),(59,1),(88,1),(90,1),(122,1)}
        11:{1,3,7}:{(4,1),(5,1),(23,1),(25,1),(146,1),(173,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(32,1),(69,1),(71,1),(102,1),(137,1)}
        13:{2,3,6}:{(4,1),(7,1),(25,1),(28,1),(82,1),(103,1),(105,1),(117,1)}
        14:{1,5,7}:{(5,1),(6,1),(30,1),(31,1),(169,1),(170,1)}
        15:{1,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(67,1)}
        16:{2,4,5,7}:{(6,1),(8,1),(26,1),(29,1),(32,1),(33,1),(36,1),(62,1),(69,1),(71,1),(80,1),(81,1),(104,1),(110,1),(119,1),(138,1),(141,1),(144,1)}
        17:{2,6}:{(6,1),(9,1),(30,1)}
        18:{2,5}:{(7,1),(10,1),(31,1)}
        19:{1,4,6}:{(8,1),(9,1),(33,1),(38,1),(111,1)}
        20:{1,3,6,7}:{(9,1),(34,1),(37,1),(39,1),(78,1),(160,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(35,1),(38,1),(39,1),(40,1),(79,1),(82,1)}
        22:{1,4,5}:{(10,1),(36,1),(40,1),(67,1),(110,1),(118,1),(138,1)}
        23:{2,7}:{(11,1),(42,1),(174,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(41,1),(43,1),(44,1),(45,1),(83,1),(88,1),(91,1),(120,1),(122,1),(148,1)}
        25:{1,3,6}:{(11,1),(13,1),(15,1),(42,1),(45,1),(134,1)}
        26:{2,4,7}:{(12,1),(43,1),(46,1),(47,1),(48,1),(149,1)}
        27:{2,3,6}:{(12,1),(17,1),(44,1),(47,1),(54,1),(92,1)}
        28:{2,3,5}:{(13,1),(18,1),(45,1),(48,1),(59,1),(98,1),(122,1),(123,1)}
        29:{1,4,5,7}:{(14,1),(16,1),(43,1),(49,1),(50,1),(53,1),(88,1),(95,1),(96,1),(126,1),(132,1)}
        30:{1,6}:{(14,1),(17,1)}
        31:{1,5}:{(15,1),(18,1)}
        32:{3,5,7}:{(16,1),(46,1),(54,1),(59,1),(83,1),(90,1),(101,1),(122,1),(152,1),(155,1)}
        33:{2,4,6}:{(16,1),(17,1),(19,1),(50,1),(54,1),(56,1),(92,1),(100,1)}
        34:{2,6,7}:{(17,1),(20,1),(51,1),(57,1),(165,1)}
        35:{2,5,6}:{(17,1),(18,1),(21,1),(52,1),(57,1),(58,1)}
        36:{2,4,5}:{(18,1),(22,1),(48,1),(53,1),(58,1),(59,1),(85,1),(98,1)}
        37:{1,4,6,7}:{(19,1),(20,1),(55,1),(60,1),(61,1),(128,1),(153,1)}
        38:{1,5,6}:{(19,1),(56,1),(60,1),(88,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(57,1),(60,1),(61,1),(99,1),(101,1)}
        40:{1,4,6}:{(21,1),(22,1),(58,1),(61,1),(100,1),(134,1)}
        41:{2,5,7}:{(23,1),(24,1),(62,1),(63,1),(64,1),(104,1),(135,1),(156,1)}
        42:{2,6}:{(23,1),(25,1),(64,1)}
        43:{1,4,7}:{(24,1),(26,1),(62,1),(66,1),(67,1),(138,1),(157,1)}
        44:{1,3,6}:{(24,1),(27,1),(30,1),(63,1),(66,1),(103,1),(111,1)}
        45:{1,3,5}:{(25,1),(28,1),(31,1),(64,1),(67,1),(105,1),(118,1),(139,1)}
        46:{3,4,7}:{(26,1),(32,1),(68,1),(70,1),(119,1),(138,1),(158,1)}
        47:{2,4,6}:{(26,1),(27,1),(66,1),(68,1),(69,1)}
        48:{2,4}:{(28,1),(67,1),(70,1),(138,1)}
        49:{1,3,5,7}:{(29,1),(32,1),(65,1),(71,1),(72,1),(77,1),(108,1),(116,1)}
        50:{1,4,6}:{(29,1),(30,1),(33,1),(72,1),(74,1)}
        51:{1,6,7}:{(30,1),(34,1),(75,1),(170,1)}
        52:{1,5,6}:{(30,1),(31,1),(35,1),(75,1),(76,1)}
        53:{1,4,5}:{(31,1),(36,1),(67,1),(76,1),(77,1)}
        54:{3,6}:{(32,1),(33,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(78,1),(80,1),(81,1),(112,1),(119,1),(144,1)}
        56:{2,5,6}:{(33,1),(38,1),(69,1),(74,1),(79,1),(80,1),(104,1)}
        57:{2,5,7}:{(34,1),(35,1),(39,1),(75,1),(81,1)}
        58:{2,4,6}:{(35,1),(36,1),(40,1),(76,1),(81,1),(82,1),(117,1)}
        59:{3,5}:{(36,1),(70,1),(82,1),(105,1)}
        60:{1,5,7}:{(37,1),(38,1),(80,1)}
        61:{1,4,7}:{(39,1),(40,1),(81,1),(119,1),(146,1)}
        62:{2,4,7}:{(41,1),(43,1),(83,1),(84,1),(85,1),(162,1)}
        63:{2,6}:{(41,1),(44,1)}
        64:{2,5}:{(42,1),(45,1),(85,1),(150,1)}
        65:{1,3,4,7}:{(43,1),(46,1),(49,1),(83,1),(86,1),(87,1),(89,1),(120,1),(132,1),(155,1)}
        66:{1,4,6}:{(43,1),(44,1),(47,1),(84,1),(88,1)}
        67:{1,4}:{(45,1),(48,1),(85,1)}
        68:{3,4,6}:{(46,1),(47,1),(54,1),(90,1),(100,1)}
        69:{2,5}:{(47,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(59,1)}
        71:{2,5,7}:{(49,1),(86,1),(91,1),(92,1),(98,1),(125,1),(133,1)}
        72:{1,3,6}:{(49,1),(50,1),(54,1),(92,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(55,1),(93,1),(95,1),(96,1),(132,1)}
        74:{1,5,6}:{(50,1),(56,1),(88,1),(95,1)}
        75:{1,5,7}:{(51,1),(52,1),(57,1),(96,1)}
        76:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        77:{1,3,5}:{(53,1),(59,1),(89,1),(97,1),(98,1)}
        78:{3,6,7}:{(54,1),(55,1),(99,1),(101,1),(155,1)}
        79:{3,5,6}:{(54,1),(56,1),(90,1),(99,1),(100,1),(122,1)}
        80:{2,5,7}:{(55,1),(56,1),(60,1),(95,1),(99,1)}
        81:{2,4,7}:{(57,1),(58,1),(61,1),(96,1),(101,1),(133,1)}
        82:{3,6}:{(58,1),(59,1),(101,1)}
        83:{3,7}:{(62,1),(103,1),(105,1),(167,1)}
        84:{2,4,6}:{(62,1),(63,1),(66,1),(103,1),(104,1),(138,1)}
        85:{2,4}:{(64,1),(67,1),(105,1)}
        86:{2,4,7}:{(65,1),(71,1),(102,1),(106,1),(107,1),(109,1),(135,1)}
        87:{1,3,4,6}:{(65,1),(66,1),(68,1),(72,1),(103,1),(107,1),(108,1),(115,1),(136,1),(138,1),(145,1),(157,1),(158,1),(167,1)}
        88:{1,5}:{(66,1),(69,1),(104,1)}
        89:{1,3,4}:{(67,1),(70,1),(77,1),(105,1),(109,1),(139,1)}
        90:{3,5}:{(68,1),(69,1),(110,1)}
        91:{1,5,7}:{(71,1),(106,1),(111,1),(118,1),(140,1),(146,1)}
        92:{2,6}:{(71,1),(72,1),(111,1)}
        93:{1,3,6,7}:{(72,1),(73,1),(78,1),(112,1),(114,1),(116,1)}
        94:{1,3,5,6}:{(72,1),(74,1),(79,1),(108,1),(113,1),(114,1),(115,1),(145,1)}
        95:{1,5,7}:{(73,1),(74,1),(80,1)}
        96:{1,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        97:{1,3,6}:{(76,1),(77,1),(82,1),(116,1),(117,1)}
        98:{2,5}:{(77,1),(109,1),(117,1),(118,1)}
        99:{3,5,7}:{(78,1),(79,1),(80,1),(119,1)}
       100:{4,6}:{(79,1),(110,1),(119,1),(138,1)}
       101:{3,7}:{(81,1),(82,1)}
       102:{2,3,7}:{(83,1),(86,1),(120,1),(121,1),(123,1),(155,1),(165,1)}
       103:{3,6}:{(83,1),(84,1),(122,1)}
       104:{2,5}:{(84,1),(88,1),(122,1)}
       105:{3}:{(85,1)}
       106:{1,4,7}:{(86,1),(91,1),(120,1),(124,1),(127,1)}
       107:{2,4,6}:{(86,1),(87,1),(92,1),(121,1),(124,1),(125,1),(147,1),(149,1),(162,1)}
       108:{1,3,5}:{(87,1),(88,1),(90,1),(122,1),(125,1),(126,1),(152,1)}
       109:{2,4}:{(89,1),(98,1),(123,1),(127,1),(150,1)}
       110:{4,5}:{(90,1),(100,1)}
       111:{1,6}:{(91,1),(92,1)}
       112:{2,6,7}:{(92,1),(93,1),(128,1),(130,1),(133,1)}
       113:{2,5,6}:{(92,1),(94,1),(125,1),(129,1),(130,1),(131,1)}
       114:{1,3,5,7}:{(93,1),(94,1),(95,1),(99,1),(130,1),(132,1),(155,1)}
       115:{1,4,6}:{(94,1),(100,1),(126,1),(131,1),(132,1),(166,1)}
       116:{1,3,7}:{(96,1),(97,1),(101,1),(133,1)}
       117:{2,6}:{(97,1),(98,1),(133,1),(134,1)}
       118:{1,5}:{(98,1),(127,1),(134,1)}
       119:{4,7}:{(99,1),(100,1)}
       120:{1,3,7}:{(102,1),(106,1),(135,1),(136,1),(139,1),(170,1)}
       121:{2,3,6}:{(102,1),(103,1),(107,1),(136,1),(137,1),(145,1),(161,1),(167,1)}
       122:{3,5}:{(103,1),(104,1),(138,1)}
       123:{2,3}:{(105,1),(109,1),(139,1)}
       124:{1,4,6}:{(106,1),(107,1),(111,1),(136,1),(140,1),(157,1)}
       125:{2,5}:{(107,1),(108,1),(140,1)}
       126:{1,4,5}:{(108,1),(110,1),(115,1),(138,1),(141,1),(157,1),(169,1)}
       127:{1,4}:{(109,1),(118,1),(139,1)}
       128:{1,6,7}:{(111,1),(112,1),(142,1),(146,1)}
       129:{1,5,6}:{(111,1),(113,1),(140,1),(142,1),(143,1)}
       130:{2,5,7}:{(112,1),(113,1),(114,1),(142,1),(144,1)}
       131:{2,4,6}:{(113,1),(115,1),(141,1),(143,1),(144,1),(145,1),(161,1)}
       132:{1,4,7}:{(114,1),(115,1),(119,1),(144,1),(170,1)}
       133:{2,7}:{(116,1),(117,1),(146,1)}
       134:{1,6}:{(117,1),(118,1),(146,1)}
       135:{2,7}:{(120,1),(147,1),(150,1)}
       136:{1,3,6}:{(120,1),(121,1),(124,1),(147,1),(148,1),(166,1)}
       137:{2,3,5}:{(121,1),(122,1),(125,1),(148,1),(149,1),(152,1),(164,1),(171,1)}
       138:{4}:{(122,1)}
       139:{1,3}:{(123,1),(127,1),(150,1)}
       140:{1,5}:{(124,1),(125,1)}
       141:{2,4,5}:{(125,1),(126,1),(131,1),(149,1),(151,1),(152,1),(162,1),(164,1)}
       142:{1,5,7}:{(128,1),(129,1),(130,1),(153,1)}
       143:{1,4,6}:{(129,1),(131,1),(151,1),(153,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(132,1),(153,1),(155,1),(165,1)}
       145:{3,6}:{(131,1),(152,1),(155,1)}
       146:{1,7}:{(133,1),(134,1)}
       147:{2,6}:{(135,1),(136,1),(156,1)}
       148:{1,3,5}:{(136,1),(137,1),(140,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       149:{2,4}:{(137,1),(138,1),(157,1),(158,1)}
       150:{2}:{(139,1)}
       151:{1,4,5}:{(140,1),(141,1),(143,1),(157,1),(159,1)}
       152:{3,5}:{(141,1),(145,1),(158,1),(167,1)}
       153:{1,4,7}:{(142,1),(143,1),(144,1),(160,1)}
       154:{1,3,6}:{(143,1),(145,1),(159,1),(160,1),(161,1)}
       155:{3,7}:{(144,1),(145,1)}
       156:{2,5}:{(147,1),(148,1),(162,1),(174,1)}
       157:{1,4}:{(148,1),(149,1),(162,1)}
       158:{3,4}:{(149,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(154,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(154,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 433 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(17,1),(21,1),(42,1),(113,1),(136,1),(141,1),(216,1),(221,1),(230,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(31,1),(35,1),(77,1),(88,1),(92,1),(175,1),(190,1),(191,1),(197,1),(292,1)}
         2:{2,3,5}:{(0,1),(5,1),(8,1),(274,1),(281,1),(289,1)}
         3:{2,3,4,7}:{(0,1),(6,1),(9,1),(38,1),(73,1),(163,1),(198,1),(277,1),(293,1)}
         4:{2,4,6}:{(1,1),(11,1),(12,1),(13,1),(52,1),(58,1),(252,1),(260,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(15,1),(56,1),(234,1),(253,1),(348,1)}
         6:{1,3,4,7}:{(1,1),(3,1),(13,1),(16,1),(45,1),(61,1),(121,1),(137,1),(142,1),(261,1),(353,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(21,1),(65,1),(70,1),(141,1),(147,1)}
         8:{2,4,5}:{(2,1),(15,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(334,1),(349,1)}
        10:{1,2,4,6}:{(4,1),(22,1),(23,1),(24,1),(71,1),(77,1),(82,1),(175,1),(292,1),(295,1),(296,1)}
        11:{2,3,6}:{(4,1),(22,1),(26,1),(27,1),(92,1),(312,1)}
        12:{2,5}:{(4,1),(5,1)}
        13:{2,4,7}:{(4,1),(6,1),(27,1),(30,1),(321,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(28,1),(31,1),(32,1),(35,1),(92,1),(104,1),(197,1),(202,1),(203,1)}
        15:{1,4,5}:{(5,1),(8,1),(29,1),(31,1),(77,1),(313,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(9,1),(30,1),(34,1),(35,1),(96,1),(404,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(37,1),(38,1)}
        18:{2,3,5,7}:{(7,1),(32,1),(38,1),(39,1),(105,1),(108,1),(198,1),(204,1)}
        19:{3,4,5}:{(8,1),(37,1),(162,1),(274,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(34,1),(38,1),(40,1),(41,1),(108,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(35,1),(41,1),(391,1),(405,1)}
        22:{1,3,6}:{(10,1),(11,1),(42,1),(44,1),(45,1),(354,1)}
        23:{1,2,5}:{(10,1),(12,1),(44,1),(110,1),(234,1),(348,1)}
        24:{1,2,4,7}:{(10,1),(13,1),(45,1),(48,1),(111,1),(121,1),(353,1),(355,1)}
        25:{2,3,4,6}:{(11,1),(43,1),(49,1),(50,1),(52,1),(127,1),(131,1),(133,1),(138,1),(219,1),(230,1),(326,1)}
        26:{2,3,5}:{(11,1),(12,1),(44,1),(52,1),(56,1)}
        27:{2,3,7}:{(11,1),(13,1),(45,1),(142,1)}
        28:{2,5,6}:{(12,1),(14,1),(54,1),(55,1),(58,1),(260,1)}
        29:{2,4,5}:{(12,1),(15,1),(52,1),(54,1),(56,1)}
        30:{2,5,7}:{(12,1),(13,1),(16,1),(58,1)}
        31:{1,4,6}:{(14,1),(15,1),(17,1),(54,1),(61,1),(263,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(55,1),(61,1),(62,1),(142,1),(152,1),(261,1),(262,1),(264,1)}
        33:{1,3,4,5}:{(15,1),(19,1),(56,1),(60,1),(63,1),(120,1),(144,1),(228,1),(244,1),(360,1),(452,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(20,1),(57,1),(61,1),(64,1),(121,1),(152,1),(234,1)}
        35:{1,3,6}:{(16,1),(21,1),(58,1),(64,1),(145,1),(449,1)}
        36:{2,4,5,6}:{(17,1),(59,1),(65,1),(66,1),(70,1),(147,1),(156,1),(215,1),(335,1),(370,1),(512,1),(541,1)}
        37:{3,4,6}:{(17,1),(19,1),(65,1),(67,1),(541,1)}
        38:{2,4,7}:{(17,1),(18,1),(61,1),(67,1)}
        39:{2,3,6,7}:{(18,1),(21,1),(62,1),(68,1),(153,1),(265,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(67,1),(69,1),(155,1),(220,1),(334,1),(341,1),(444,1)}
        41:{2,4,6}:{(20,1),(21,1),(64,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(268,1),(396,1)}
        43:{1,3,4,6}:{(22,1),(25,1),(71,1),(74,1),(75,1),(77,1),(162,1),(165,1),(169,1),(175,1),(268,1),(279,1),(280,1),(292,1),(381,1)}
        44:{1,3,5}:{(22,1),(23,1),(26,1),(72,1),(77,1)}
        45:{1,3,7}:{(22,1),(24,1),(27,1),(73,1)}
        46:{1,2,5,6}:{(23,1),(28,1),(76,1),(79,1),(80,1),(82,1),(157,1),(203,1),(289,1),(296,1),(317,1),(398,1),(403,1),(405,1),(466,1),(484,1)}
        47:{1,2,4,5}:{(23,1),(29,1),(77,1),(79,1),(81,1),(103,1),(158,1),(170,1),(174,1),(201,1),(287,1),(289,1),(295,1),(385,1),(403,1),(410,1),(472,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(30,1),(78,1),(82,1),(159,1),(404,1)}
        49:{2,3,5}:{(25,1),(74,1),(84,1),(185,1),(192,1),(289,1)}
        50:{2,3,4,7}:{(25,1),(27,1),(75,1),(85,1),(89,1),(181,1),(188,1),(293,1),(382,1)}
        51:{2,3,5,6}:{(26,1),(28,1),(76,1),(86,1),(87,1),(90,1),(92,1),(176,1),(185,1),(192,1),(202,1),(289,1),(307,1),(308,1),(405,1),(466,1),(476,1),(515,1),(526,1),(545,1),(546,1)}
        52:{2,4}:{(26,1),(77,1),(88,1)}
        53:{2,3,5,7}:{(26,1),(27,1),(30,1),(78,1),(89,1),(90,1),(96,1),(192,1)}
        54:{2,4,6}:{(28,1),(29,1),(31,1),(92,1),(93,1)}
        55:{2,5,7}:{(28,1),(32,1),(93,1),(94,1),(321,1)}
        56:{3,5}:{(29,1),(88,1),(92,1)}
        57:{2,4,5,7}:{(29,1),(30,1),(34,1),(89,1),(93,1),(96,1),(97,1),(192,1),(200,1),(313,1),(322,1)}
        58:{2,6}:{(30,1),(35,1)}
        59:{1,4,5,6}:{(31,1),(36,1),(91,1),(98,1),(99,1),(104,1),(170,1),(203,1),(291,1),(314,1),(488,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(37,1),(92,1),(98,1),(100,1),(101,1),(193,1),(197,1),(314,1),(419,1)}
        61:{1,4,7}:{(31,1),(32,1),(38,1),(93,1),(322,1)}
        62:{1,3,6,7}:{(32,1),(35,1),(39,1),(94,1),(102,1),(199,1),(323,1)}
        63:{2,4,5}:{(33,1),(95,1),(100,1),(103,1),(174,1),(201,1),(289,1)}
        64:{1,4,6}:{(34,1),(35,1),(41,1),(97,1),(104,1)}
        65:{3,5,6}:{(36,1),(37,1),(105,1),(274,1),(391,1),(419,1)}
        66:{2,4,5,7}:{(36,1),(38,1),(99,1),(105,1),(106,1),(108,1),(204,1),(209,1),(420,1),(492,1),(531,1)}
        67:{3,4,7}:{(37,1),(38,1),(105,1),(531,1)}
        68:{2,4,6,7}:{(38,1),(39,1),(41,1),(102,1),(107,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(391,1),(479,1)}
        70:{2,5,6}:{(41,1),(104,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(43,1),(110,1),(111,1),(113,1),(214,1),(340,1),(431,1)}
        72:{2,3,5}:{(42,1),(44,1),(110,1),(113,1),(212,1)}
        73:{2,3,7}:{(42,1),(45,1),(111,1),(327,1)}
        74:{1,3,5}:{(43,1),(49,1),(110,1),(116,1),(212,1),(234,1),(341,1),(348,1)}
        75:{1,3,4,7}:{(43,1),(45,1),(50,1),(111,1),(117,1),(121,1),(220,1),(224,1),(327,1),(353,1),(432,1)}
        76:{1,3,5,6}:{(44,1),(46,1),(51,1),(112,1),(118,1),(119,1),(122,1),(123,1),(228,1),(234,1),(235,1),(348,1),(350,1),(351,1),(447,1),(449,1),(509,1),(539,1)}
        77:{1,4}:{(44,1),(52,1),(113,1)}
        78:{1,3,5,7}:{(44,1),(45,1),(48,1),(53,1),(114,1),(121,1),(122,1),(234,1)}
        79:{1,2,4,6}:{(46,1),(47,1),(54,1),(118,1),(123,1),(124,1),(150,1),(210,1),(230,1),(260,1),(345,1),(370,1),(431,1),(493,1)}
        80:{1,2,5,7}:{(46,1),(55,1),(119,1),(124,1),(125,1),(211,1),(264,1),(349,1),(355,1),(374,1),(445,1),(497,1)}
        81:{1,3,5}:{(47,1),(56,1),(120,1),(123,1),(126,1),(212,1),(354,1),(452,1),(500,1)}
        82:{1,2,6}:{(48,1),(58,1),(122,1),(214,1),(449,1)}
        83:{2,3,5,6}:{(49,1),(115,1),(127,1),(128,1),(131,1),(238,1),(243,1),(326,1),(342,1)}
        84:{2,4,5}:{(49,1),(52,1),(116,1),(127,1),(129,1)}
        85:{2,3,5,7}:{(49,1),(50,1),(117,1),(130,1),(131,1),(246,1),(349,1)}
        86:{2,4,6}:{(51,1),(52,1),(118,1),(132,1),(133,1),(134,1),(263,1),(505,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(55,1),(119,1),(134,1),(135,1),(142,1),(236,1),(246,1),(251,1),(262,1),(349,1),(497,1),(532,1),(548,1)}
        88:{3,4}:{(52,1),(56,1)}
        89:{2,4,7}:{(52,1),(53,1),(121,1),(137,1),(138,1)}
        90:{2,3,6}:{(53,1),(58,1),(122,1),(138,1),(145,1)}
        91:{2,4,5,6}:{(54,1),(59,1),(132,1),(139,1),(140,1),(146,1),(147,1),(247,1),(254,1),(263,1),(455,1),(456,1)}
        92:{3,6}:{(54,1),(56,1),(142,1)}
        93:{2,4,7}:{(54,1),(55,1),(61,1),(142,1)}
        94:{2,6,7}:{(55,1),(58,1),(62,1)}
        95:{2,3,5}:{(56,1),(63,1),(136,1),(141,1),(144,1),(452,1)}
        96:{3,5,7}:{(56,1),(57,1),(137,1),(142,1),(145,1),(253,1)}
        97:{2,4,6}:{(57,1),(58,1),(64,1),(145,1),(146,1),(263,1)}
        98:{1,3,5,6}:{(59,1),(60,1),(65,1),(139,1),(147,1),(148,1),(228,1),(350,1)}
        99:{1,4,5,7}:{(59,1),(61,1),(66,1),(140,1),(148,1),(149,1),(152,1),(264,1),(371,1),(462,1)}
       100:{2,4,6}:{(60,1),(63,1),(141,1),(147,1),(150,1),(151,1),(260,1)}
       101:{1,3,4,7}:{(60,1),(61,1),(67,1),(142,1),(148,1),(151,1),(255,1),(261,1),(371,1),(460,1)}
       102:{1,4,6,7}:{(61,1),(62,1),(64,1),(68,1),(143,1),(152,1)}
       103:{1,4,5}:{(63,1),(144,1),(150,1),(233,1),(348,1)}
       104:{1,5,6}:{(64,1),(70,1),(146,1),(152,1),(234,1)}
       105:{3,5,7}:{(65,1),(66,1),(67,1),(153,1),(460,1)}
       106:{2,4,6,7}:{(66,1),(149,1),(153,1),(154,1),(265,1),(266,1),(335,1)}
       107:{3,4,6,7}:{(67,1),(68,1),(69,1),(153,1),(155,1),(266,1)}
       108:{2,5,7}:{(68,1),(70,1),(152,1),(155,1)}
       109:{3,5,6}:{(69,1),(70,1),(155,1),(156,1),(341,1)}
       110:{2,5}:{(71,1),(74,1)}
       111:{2,4,7}:{(71,1),(73,1),(75,1),(159,1),(470,1)}
       112:{2,3,5,6}:{(72,1),(76,1),(157,1),(160,1),(161,1),(164,1),(176,1),(268,1),(274,1),(281,1),(289,1),(317,1),(386,1),(391,1),(392,1),(405,1),(414,1),(419,1),(490,1),(529,1),(530,1)}
       113:{2,4}:{(72,1),(77,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(78,1),(159,1),(163,1),(164,1),(272,1),(281,1)}
       115:{1,3,5,6}:{(74,1),(83,1),(157,1),(165,1),(166,1),(169,1),(268,1),(288,1),(381,1),(386,1),(398,1)}
       116:{1,4,5}:{(74,1),(77,1),(84,1),(158,1),(165,1),(397,1)}
       117:{1,3,5,7}:{(74,1),(75,1),(85,1),(159,1),(168,1),(169,1),(272,1),(404,1)}
       118:{1,4,6}:{(76,1),(77,1),(86,1),(160,1),(170,1),(172,1),(482,1)}
       119:{1,3,5,7}:{(76,1),(80,1),(87,1),(161,1),(172,1),(173,1),(177,1),(294,1),(297,1),(404,1)}
       120:{1,3,4}:{(77,1),(81,1),(88,1),(162,1),(174,1),(482,1),(485,1),(521,1)}
       121:{1,4,7}:{(77,1),(78,1),(89,1),(163,1),(175,1)}
       122:{1,3,6}:{(78,1),(82,1),(90,1),(164,1),(175,1)}
       123:{1,3,6}:{(79,1),(81,1),(92,1),(176,1),(177,1),(268,1),(419,1),(515,1)}
       124:{1,2,4,7}:{(79,1),(80,1),(93,1),(172,1),(177,1),(207,1),(269,1),(293,1),(321,1),(402,1),(420,1),(470,1),(516,1)}
       125:{1,2,6,7}:{(80,1),(82,1),(94,1),(173,1),(270,1),(323,1),(405,1),(424,1),(481,1),(484,1),(520,1)}
       126:{2,3,5}:{(81,1),(174,1),(176,1),(178,1),(201,1),(289,1),(312,1),(385,1),(396,1)}
       127:{2,4,6}:{(83,1),(84,1),(165,1),(180,1),(181,1)}
       128:{2,3,5,7}:{(83,1),(166,1),(181,1),(182,1),(298,1),(301,1),(382,1),(399,1)}
       129:{3,4,5}:{(84,1),(88,1),(180,1),(185,1),(552,1)}
       130:{2,4,5,7}:{(84,1),(85,1),(89,1),(168,1),(181,1),(183,1),(184,1),(192,1),(301,1)}
       131:{2,3,6}:{(85,1),(169,1),(184,1),(307,1),(405,1)}
       132:{2,4,5}:{(86,1),(170,1),(185,1),(192,1),(289,1),(313,1),(546,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(92,1),(185,1),(188,1),(307,1),(515,1),(521,1)}
       134:{2,4,7}:{(86,1),(87,1),(172,1),(188,1),(322,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(94,1),(173,1),(189,1),(199,1),(307,1),(405,1),(520,1),(526,1),(542,1)}
       136:{2,3,4}:{(88,1),(95,1),(174,1),(190,1),(396,1),(485,1)}
       137:{3,4,7}:{(88,1),(89,1),(96,1),(191,1),(322,1)}
       138:{2,4,6}:{(89,1),(90,1),(175,1),(191,1),(192,1)}
       139:{3,5,6}:{(91,1),(92,1),(185,1),(193,1),(195,1),(307,1)}
       140:{2,4,5,7}:{(91,1),(93,1),(99,1),(195,1),(196,1),(200,1),(204,1),(315,1),(322,1),(422,1),(423,1)}
       141:{2,3,6}:{(92,1),(95,1),(100,1),(197,1),(198,1),(419,1)}
       142:{3,7}:{(92,1),(93,1)}
       143:{2,4,6,7}:{(93,1),(94,1),(97,1),(102,1),(199,1),(200,1),(322,1)}
       144:{1,3,5}:{(95,1),(103,1),(190,1),(197,1),(201,1)}
       145:{3,6}:{(96,1),(97,1)}
       146:{2,5,6}:{(97,1),(104,1),(192,1),(200,1),(202,1)}
       147:{2,5,6}:{(98,1),(100,1),(203,1),(204,1),(289,1),(405,1)}
       148:{1,3,5,7}:{(98,1),(99,1),(101,1),(105,1),(195,1),(204,1),(205,1)}
       149:{1,4,6,7}:{(99,1),(106,1),(196,1),(205,1),(206,1),(291,1),(323,1)}
       150:{1,4,6}:{(100,1),(103,1),(197,1),(203,1),(207,1)}
       151:{2,4,7}:{(100,1),(101,1),(198,1),(204,1),(207,1),(321,1)}
       152:{1,5,7}:{(102,1),(104,1),(108,1),(200,1)}
       153:{3,6,7}:{(105,1),(106,1),(391,1)}
       154:{2,5,6,7}:{(106,1),(108,1),(206,1),(208,1),(392,1),(492,1)}
       155:{3,5,7}:{(107,1),(108,1),(109,1),(209,1)}
       156:{4,5,6}:{(109,1),(209,1),(397,1),(479,1)}
       157:{2,5,6}:{(110,1),(115,1),(210,1),(211,1),(214,1),(431,1)}
       158:{2,4,5}:{(110,1),(113,1),(116,1),(210,1),(212,1)}
       159:{2,5,7}:{(110,1),(111,1),(117,1),(214,1)}
       160:{2,4,6}:{(112,1),(113,1),(118,1),(215,1),(216,1),(217,1),(434,1),(457,1),(541,1)}
       161:{2,3,5,7}:{(112,1),(119,1),(211,1),(217,1),(218,1),(236,1),(327,1),(334,1),(339,1),(349,1),(374,1),(433,1),(460,1),(514,1)}
       162:{3,4}:{(113,1),(212,1)}
       163:{2,4,7}:{(113,1),(114,1),(121,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(122,1),(214,1),(221,1),(330,1)}
       165:{1,4,6}:{(115,1),(116,1),(127,1),(210,1),(224,1),(434,1)}
       166:{1,3,5,7}:{(115,1),(128,1),(211,1),(224,1),(225,1),(327,1),(347,1),(432,1),(433,1),(445,1)}
       167:{1,3,4,5}:{(116,1),(120,1),(129,1),(212,1),(223,1),(226,1),(228,1),(329,1),(332,1),(435,1),(500,1)}
       168:{1,4,5,7}:{(116,1),(117,1),(121,1),(130,1),(213,1),(224,1),(227,1),(234,1),(347,1)}
       169:{1,3,6}:{(117,1),(131,1),(214,1),(227,1),(330,1),(449,1)}
       170:{1,4,5}:{(118,1),(132,1),(215,1),(228,1),(234,1),(348,1),(539,1)}
       171:{1,3,4,6}:{(118,1),(120,1),(123,1),(133,1),(216,1),(228,1),(230,1),(231,1),(350,1)}
       172:{1,4,7}:{(118,1),(119,1),(134,1),(217,1)}
       173:{1,3,6,7}:{(119,1),(122,1),(125,1),(135,1),(218,1),(232,1),(350,1),(449,1),(509,1)}
       174:{2,4}:{(120,1),(126,1),(233,1)}
       175:{1,4,6}:{(121,1),(122,1),(138,1),(221,1),(234,1)}
       176:{2,3,6}:{(123,1),(126,1),(230,1),(235,1),(236,1),(260,1),(431,1)}
       177:{1,3,7}:{(123,1),(124,1),(142,1),(236,1),(327,1),(460,1),(532,1)}
       178:{1,3,5}:{(126,1),(233,1),(235,1),(237,1),(348,1),(354,1)}
       179:{2,4,5,6}:{(127,1),(132,1),(222,1),(238,1),(239,1),(243,1),(247,1),(342,1),(359,1),(493,1),(537,1),(550,1)}
       180:{3,4,6}:{(127,1),(129,1),(238,1),(240,1),(550,1)}
       181:{2,4,7}:{(127,1),(128,1),(224,1),(240,1)}
       182:{2,3,6,7}:{(128,1),(131,1),(225,1),(241,1),(356,1),(446,1)}
       183:{3,4,5,7}:{(129,1),(130,1),(137,1),(240,1),(242,1),(246,1),(253,1),(358,1),(369,1)}
       184:{2,4,6}:{(130,1),(131,1),(227,1),(242,1),(243,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(229,1),(246,1),(247,1),(251,1),(349,1),(369,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(141,1),(230,1),(245,1),(248,1),(249,1),(254,1),(365,1),(442,1),(505,1),(538,1)}
       188:{3,4,7}:{(133,1),(134,1),(142,1),(246,1),(532,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(138,1),(232,1),(247,1),(250,1),(251,1),(538,1)}
       190:{1,3,4}:{(136,1),(144,1),(233,1),(252,1),(354,1)}
       191:{3,4,6}:{(137,1),(138,1),(145,1),(253,1),(263,1)}
       192:{2,5}:{(138,1),(234,1),(253,1)}
       193:{3,4,6}:{(139,1),(244,1),(254,1),(255,1),(263,1)}
       194:{2,3,5,6}:{(139,1),(141,1),(147,1),(245,1),(254,1),(256,1),(257,1),(365,1),(455,1)}
       195:{3,5,7}:{(139,1),(140,1),(142,1),(255,1),(258,1)}
       196:{2,4,6,7}:{(140,1),(149,1),(247,1),(258,1),(259,1),(265,1),(376,1)}
       197:{1,3,6}:{(141,1),(144,1),(150,1),(260,1),(261,1)}
       198:{2,3,7}:{(141,1),(142,1),(151,1),(261,1),(460,1)}
       199:{3,6,7}:{(142,1),(143,1),(145,1),(262,1)}
       200:{2,5,7}:{(143,1),(146,1),(152,1),(262,1)}
       201:{2,5}:{(144,1),(252,1),(260,1)}
       202:{3,5,6}:{(145,1),(146,1),(253,1),(262,1),(263,1)}
       203:{1,5,6}:{(147,1),(150,1),(264,1),(348,1),(449,1)}
       204:{2,5,7}:{(147,1),(148,1),(151,1),(264,1),(265,1)}
       205:{1,3,6,7}:{(148,1),(149,1),(153,1),(258,1),(265,1),(350,1)}
       206:{1,5,6,7}:{(149,1),(152,1),(154,1),(259,1),(351,1),(462,1)}
       207:{1,4,7}:{(150,1),(151,1),(261,1),(264,1)}
       208:{3,5,6,7}:{(153,1),(154,1),(155,1),(266,1),(441,1),(514,1)}
       209:{4,5,7}:{(155,1),(156,1),(266,1)}
       210:{2,4,6}:{(157,1),(158,1),(165,1),(268,1),(269,1)}
       211:{2,5,7}:{(157,1),(166,1),(269,1),(270,1),(470,1)}
       212:{3,5}:{(158,1),(162,1),(268,1)}
       213:{2,4,5,7}:{(158,1),(159,1),(163,1),(168,1),(269,1),(272,1),(273,1),(281,1),(384,1),(397,1),(471,1)}
       214:{2,6}:{(159,1),(169,1)}
       215:{2,4,5}:{(160,1),(170,1),(274,1),(281,1),(289,1),(397,1),(530,1),(547,1)}
       216:{3,4,6}:{(160,1),(162,1),(268,1),(274,1),(277,1),(391,1),(419,1),(485,1)}
       217:{2,4,7}:{(160,1),(161,1),(172,1),(277,1),(471,1),(531,1)}
       218:{2,3,6,7}:{(161,1),(164,1),(173,1),(270,1),(278,1),(383,1),(391,1),(405,1),(424,1),(490,1),(491,1)}
       219:{2,3,4}:{(162,1),(174,1),(271,1),(279,1),(312,1),(521,1)}
       220:{3,4,7}:{(162,1),(163,1),(272,1),(280,1),(471,1)}
       221:{2,4,6}:{(163,1),(164,1),(175,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(170,1),(179,1),(267,1),(282,1),(283,1),(288,1),(291,1),(398,1),(463,1),(524,1)}
       223:{1,3,4,6}:{(165,1),(167,1),(180,1),(268,1),(282,1),(284,1),(285,1),(377,1),(381,1),(463,1),(515,1)}
       224:{1,4,7}:{(165,1),(166,1),(181,1),(269,1),(471,1)}
       225:{1,3,6,7}:{(166,1),(169,1),(182,1),(270,1),(286,1),(383,1),(481,1)}
       226:{2,4,5}:{(167,1),(174,1),(271,1),(284,1),(287,1),(289,1),(385,1)}
       227:{1,4,6}:{(168,1),(169,1),(184,1),(273,1),(288,1)}
       228:{1,3,5}:{(170,1),(171,1),(185,1),(274,1),(289,1)}
       229:{1,4,5,7}:{(170,1),(172,1),(186,1),(275,1),(290,1),(291,1),(294,1),(404,1)}
       230:{2,4,6}:{(171,1),(174,1),(176,1),(289,1),(292,1),(293,1),(405,1)}
       231:{1,3,4,7}:{(171,1),(172,1),(177,1),(188,1),(277,1),(290,1),(293,1)}
       232:{1,4,6,7}:{(172,1),(173,1),(175,1),(189,1),(278,1),(291,1),(294,1),(527,1)}
       233:{1,4}:{(174,1),(178,1)}
       234:{1,5}:{(175,1),(192,1),(281,1)}
       235:{1,3,6}:{(176,1),(178,1),(292,1),(296,1),(297,1)}
       236:{2,3,7}:{(176,1),(177,1),(293,1),(297,1),(321,1),(470,1)}
       237:{1,2,5}:{(178,1),(201,1),(295,1),(296,1),(385,1)}
       238:{3,5,6}:{(179,1),(180,1),(185,1),(298,1),(307,1),(515,1)}
       239:{2,4,5,7}:{(179,1),(181,1),(283,1),(298,1),(299,1),(301,1),(399,1),(409,1),(516,1),(543,1),(551,1)}
       240:{3,4,7}:{(180,1),(181,1),(298,1),(551,1)}
       241:{2,4,6,7}:{(181,1),(182,1),(184,1),(286,1),(300,1),(301,1)}
       242:{3,4,6}:{(183,1),(184,1),(302,1),(307,1),(417,1)}
       243:{2,5,6}:{(184,1),(192,1),(288,1),(301,1),(302,1)}
       244:{3,4,5}:{(185,1),(193,1),(303,1),(313,1),(521,1)}
       245:{2,3,5}:{(185,1),(187,1),(289,1),(303,1),(305,1),(546,1)}
       246:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       247:{2,4,6}:{(186,1),(291,1),(307,1),(308,1),(405,1),(417,1)}
       248:{1,3,4,6}:{(187,1),(190,1),(197,1),(292,1),(305,1),(309,1),(310,1),(314,1),(406,1),(416,1),(419,1),(482,1),(485,1),(527,1),(528,1)}
       249:{2,3,4,7}:{(187,1),(188,1),(198,1),(293,1),(306,1),(310,1),(315,1),(480,1),(525,1)}
       250:{3,4,6,7}:{(188,1),(189,1),(191,1),(199,1),(307,1),(311,1),(322,1),(417,1),(542,1),(544,1),(551,1)}
       251:{2,5,7}:{(189,1),(192,1),(294,1),(308,1),(311,1),(546,1)}
       252:{2,4}:{(190,1),(201,1),(312,1)}
       253:{3,5}:{(191,1),(192,1),(313,1)}
       254:{2,4,6}:{(193,1),(194,1),(303,1),(314,1),(315,1)}
       255:{3,4,7}:{(193,1),(195,1),(315,1),(322,1)}
       256:{1,3,5,6}:{(194,1),(197,1),(203,1),(305,1),(314,1),(317,1),(318,1),(416,1),(419,1),(488,1),(529,1)}
       257:{2,3,5,7}:{(194,1),(195,1),(198,1),(204,1),(315,1),(318,1),(319,1),(422,1)}
       258:{3,6,7}:{(195,1),(196,1),(307,1)}
       259:{2,5,6,7}:{(196,1),(200,1),(206,1),(308,1),(320,1),(422,1)}
       260:{2,6}:{(197,1),(201,1),(321,1)}
       261:{1,3,7}:{(197,1),(198,1),(207,1),(321,1)}
       262:{3,5,7}:{(199,1),(200,1),(202,1),(322,1)}
       263:{4,6}:{(202,1),(313,1),(322,1)}
       264:{1,5,7}:{(203,1),(204,1),(207,1),(323,1)}
       265:{2,6,7}:{(204,1),(205,1),(323,1),(405,1)}
       266:{4,6,7}:{(208,1),(209,1),(479,1),(531,1)}
       267:{2,4,5,6}:{(210,1),(215,1),(222,1),(324,1),(325,1),(331,1),(335,1),(342,1),(425,1),(434,1),(503,1),(504,1)}
       268:{3,6}:{(210,1),(212,1),(327,1)}
       269:{2,4,7}:{(210,1),(211,1),(224,1),(327,1)}
       270:{2,6,7}:{(211,1),(214,1),(225,1)}
       271:{2,3,5}:{(212,1),(219,1),(226,1),(326,1),(329,1),(500,1)}
       272:{3,5,7}:{(212,1),(213,1),(220,1),(327,1),(330,1),(341,1)}
       273:{2,4,6}:{(213,1),(214,1),(227,1),(330,1),(331,1),(434,1)}
       274:{3,5}:{(215,1),(216,1)}
       275:{2,4,5,7}:{(215,1),(217,1),(229,1),(334,1),(335,1),(339,1),(349,1),(444,1)}
       276:{2,3,4,6}:{(216,1),(219,1),(230,1),(326,1),(333,1),(336,1),(337,1),(367,1),(425,1),(440,1),(457,1),(513,1)}
       277:{3,4,7}:{(216,1),(217,1),(327,1),(334,1),(460,1)}
       278:{2,4,6,7}:{(217,1),(218,1),(221,1),(232,1),(335,1),(338,1),(339,1),(513,1)}
       279:{1,3,4}:{(219,1),(233,1),(329,1),(340,1),(354,1)}
       280:{3,4,6}:{(220,1),(221,1),(330,1),(341,1),(434,1)}
       281:{2,5}:{(221,1),(234,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(228,1),(238,1),(324,1),(342,1),(343,1),(350,1)}
       283:{1,4,5,7}:{(222,1),(224,1),(239,1),(325,1),(343,1),(344,1),(347,1),(445,1),(494,1),(534,1)}
       284:{2,4,6}:{(223,1),(226,1),(326,1),(342,1),(345,1),(346,1),(431,1)}
       285:{1,3,4,7}:{(223,1),(224,1),(240,1),(327,1),(343,1),(346,1),(426,1),(432,1),(494,1),(532,1)}
       286:{1,4,6,7}:{(224,1),(225,1),(227,1),(241,1),(328,1),(347,1)}
       287:{1,4,5}:{(226,1),(233,1),(329,1),(345,1),(348,1)}
       288:{1,5,6}:{(227,1),(234,1),(243,1),(331,1),(347,1)}
       289:{2,5}:{(228,1),(230,1),(348,1)}
       290:{1,3,5,7}:{(228,1),(229,1),(231,1),(246,1),(334,1),(349,1),(350,1)}
       291:{1,4,6}:{(229,1),(247,1),(335,1),(350,1),(351,1),(449,1)}
       292:{1,4,6}:{(230,1),(233,1),(235,1),(348,1),(353,1),(449,1)}
       293:{2,4,7}:{(230,1),(231,1),(236,1),(349,1),(353,1)}
       294:{1,5,7}:{(232,1),(234,1),(251,1),(339,1),(351,1),(539,1)}
       295:{1,2,4}:{(233,1),(237,1),(252,1),(340,1),(354,1)}
       296:{1,2,6}:{(235,1),(237,1),(260,1),(355,1),(431,1)}
       297:{1,3,7}:{(235,1),(236,1),(353,1),(355,1)}
       298:{3,5,7}:{(238,1),(239,1),(240,1),(356,1),(532,1)}
       299:{2,4,6,7}:{(239,1),(247,1),(344,1),(356,1),(357,1),(446,1),(451,1)}
       300:{3,4,6,7}:{(240,1),(241,1),(242,1),(356,1),(358,1),(451,1)}
       301:{2,5,7}:{(241,1),(243,1),(347,1),(358,1)}
       302:{3,5,6}:{(242,1),(243,1),(253,1),(358,1),(359,1)}
       303:{2,4,5}:{(244,1),(245,1),(254,1),(360,1),(505,1)}
       304:{3,4,5,7}:{(244,1),(246,1),(255,1),(361,1),(362,1),(369,1),(373,1),(535,1),(549,1)}
       305:{1,3,5}:{(245,1),(248,1),(348,1),(360,1),(363,1),(452,1),(539,1),(540,1)}
       306:{2,3,5,7}:{(245,1),(246,1),(249,1),(349,1),(361,1),(364,1),(365,1)}
       307:{3,6}:{(246,1),(247,1)}
       308:{2,5,6}:{(247,1),(251,1),(351,1),(366,1)}
       309:{2,4,6}:{(248,1),(252,1),(260,1),(363,1),(367,1),(368,1),(457,1),(459,1)}
       310:{1,3,4,7}:{(248,1),(249,1),(261,1),(353,1),(364,1),(368,1),(371,1),(450,1),(460,1),(508,1),(510,1)}
       311:{3,5,7}:{(250,1),(251,1),(253,1),(366,1),(369,1),(549,1)}
       312:{2,3}:{(252,1),(354,1)}
       313:{4,5}:{(253,1),(263,1)}
       314:{1,4,6}:{(254,1),(256,1),(360,1),(370,1),(371,1),(541,1)}
       315:{2,4,7}:{(254,1),(255,1),(257,1),(371,1)}
       316:{3,4,6,7}:{(255,1),(258,1),(362,1),(372,1),(373,1),(376,1)}
       317:{2,5,6}:{(256,1),(260,1),(363,1),(370,1),(374,1),(459,1)}
       318:{1,3,5,7}:{(256,1),(257,1),(261,1),(264,1),(371,1),(374,1),(375,1),(460,1),(462,1),(514,1)}
       319:{2,3,6,7}:{(257,1),(258,1),(265,1),(365,1),(372,1),(375,1)}
       320:{3,5,6,7}:{(258,1),(259,1),(262,1),(366,1),(373,1),(376,1)}
       321:{2,7}:{(260,1),(261,1)}
       322:{4,7}:{(262,1),(263,1)}
       323:{1,6,7}:{(264,1),(265,1),(449,1)}
       324:{3,5,6}:{(267,1),(268,1),(274,1),(377,1),(379,1),(391,1)}
       325:{2,4,5,7}:{(267,1),(269,1),(283,1),(379,1),(380,1),(384,1),(399,1),(464,1),(471,1),(518,1),(519,1)}
       326:{2,3,6}:{(268,1),(271,1),(284,1),(381,1),(382,1),(515,1)}
       327:{3,7}:{(268,1),(269,1)}
       328:{2,4,6,7}:{(269,1),(270,1),(273,1),(286,1),(383,1),(384,1),(471,1)}
       329:{1,3,5}:{(271,1),(279,1),(287,1),(381,1),(385,1)}
       330:{3,6}:{(272,1),(273,1)}
       331:{2,5,6}:{(273,1),(281,1),(288,1),(384,1),(386,1)}
       332:{3,4,5}:{(274,1),(377,1),(387,1),(397,1),(485,1)}
       333:{2,3,5}:{(274,1),(276,1),(289,1),(387,1),(389,1),(530,1)}
       334:{3,5,7}:{(274,1),(275,1),(277,1),(391,1)}
       335:{2,4,6}:{(275,1),(291,1),(391,1),(392,1),(405,1),(479,1)}
       336:{1,3,4,6}:{(276,1),(279,1),(292,1),(381,1),(389,1),(393,1),(394,1),(406,1),(463,1),(478,1),(482,1),(515,1),(521,1),(527,1),(544,1)}
       337:{2,3,4,7}:{(276,1),(277,1),(293,1),(382,1),(390,1),(394,1),(418,1),(464,1),(489,1)}
       338:{3,4,6,7}:{(277,1),(278,1),(280,1),(383,1),(391,1),(395,1),(471,1),(479,1),(491,1),(528,1),(531,1)}
       339:{2,5,7}:{(278,1),(281,1),(294,1),(392,1),(395,1),(530,1)}
       340:{2,4}:{(279,1),(385,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(289,1),(398,1),(399,1),(405,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(285,1),(298,1),(379,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(291,1),(299,1),(380,1),(400,1),(401,1),(481,1)}
       345:{1,4,6}:{(284,1),(287,1),(381,1),(398,1),(402,1)}
       346:{2,4,7}:{(284,1),(285,1),(382,1),(399,1),(402,1),(470,1)}
       347:{1,5,7}:{(286,1),(288,1),(301,1),(384,1)}
       348:{1,5}:{(289,1),(292,1)}
       349:{2,5,7}:{(289,1),(290,1),(293,1),(404,1),(405,1)}
       350:{1,3,6}:{(290,1),(291,1),(307,1),(391,1),(405,1)}
       351:{1,5,6}:{(291,1),(294,1),(308,1),(392,1)}
       352:{1,2,4,6}:{(292,1),(295,1),(296,1),(309,1),(393,1),(403,1),(406,1),(407,1),(482,1),(484,1),(527,1)}
       353:{1,4,7}:{(292,1),(293,1),(297,1),(404,1)}
       354:{1,3}:{(295,1),(312,1),(396,1)}
       355:{1,2,7}:{(296,1),(297,1),(321,1),(470,1)}
       356:{3,6,7}:{(298,1),(299,1),(307,1)}
       357:{2,5,6,7}:{(299,1),(301,1),(308,1),(401,1),(408,1),(543,1)}
       358:{3,5,7}:{(300,1),(301,1),(302,1),(409,1)}
       359:{4,5,6}:{(302,1),(313,1),(409,1),(417,1)}
       360:{1,4,5}:{(303,1),(305,1),(314,1),(410,1),(482,1),(547,1)}
       361:{2,4,5,7}:{(303,1),(304,1),(306,1),(315,1),(411,1),(412,1),(422,1),(525,1),(546,1)}
       362:{3,4,6}:{(304,1),(307,1),(412,1),(413,1),(417,1)}
       363:{2,5}:{(305,1),(309,1)}
       364:{1,3,5,7}:{(305,1),(306,1),(310,1),(404,1),(411,1),(415,1),(416,1),(486,1)}
       365:{2,3,6}:{(306,1),(307,1),(405,1),(412,1),(416,1)}
       366:{3,5,6}:{(307,1),(308,1),(311,1),(417,1)}
       367:{2,3,6}:{(309,1),(312,1),(406,1),(414,1),(418,1),(419,1)}
       368:{2,4,7}:{(309,1),(310,1),(321,1),(415,1),(418,1)}
       369:{4,5,7}:{(311,1),(313,1),(322,1),(417,1),(551,1),(552,1)}
       370:{2,4,6}:{(314,1),(317,1),(410,1),(419,1),(420,1)}
       371:{1,4,7}:{(314,1),(315,1),(318,1),(420,1),(531,1)}
       372:{2,4,6,7}:{(315,1),(316,1),(319,1),(412,1),(421,1),(422,1)}
       373:{3,5,7}:{(316,1),(413,1),(422,1),(423,1)}
       374:{2,5,7}:{(317,1),(318,1),(321,1),(420,1),(424,1)}
       375:{1,3,6,7}:{(318,1),(319,1),(323,1),(416,1),(421,1),(424,1),(491,1)}
       376:{4,6,7}:{(320,1),(322,1),(417,1),(423,1)}
       377:{3,4,6}:{(324,1),(332,1),(425,1),(426,1),(434,1)}
       378:{2,3,5,6}:{(324,1),(326,1),(333,1),(342,1),(425,1),(427,1),(428,1),(440,1),(503,1)}
       379:{3,5,7}:{(324,1),(325,1),(327,1),(426,1),(429,1)}
       380:{2,4,6,7}:{(325,1),(335,1),(344,1),(429,1),(430,1),(446,1),(499,1)}
       381:{1,3,6}:{(326,1),(329,1),(345,1),(431,1),(432,1)}
       382:{2,3,7}:{(326,1),(327,1),(346,1),(432,1),(532,1)}
       383:{3,6,7}:{(327,1),(328,1),(330,1),(433,1)}
       384:{2,5,7}:{(328,1),(331,1),(347,1),(433,1)}
       385:{2,5}:{(329,1),(340,1),(431,1)}
       386:{3,5,6}:{(330,1),(331,1),(341,1),(433,1),(434,1)}
       387:{2,4,5}:{(332,1),(333,1),(425,1),(435,1),(457,1)}
       388:{3,4,5,7}:{(332,1),(334,1),(426,1),(436,1),(437,1),(444,1),(496,1),(510,1),(540,1)}
       389:{1,3,5}:{(333,1),(336,1),(348,1),(435,1),(438,1),(500,1),(539,1),(549,1)}
       390:{2,3,5,7}:{(333,1),(334,1),(337,1),(349,1),(436,1),(439,1),(440,1)}
       391:{3,6}:{(334,1),(335,1)}
       392:{2,5,6}:{(335,1),(339,1),(351,1),(441,1)}
       393:{2,4,6}:{(336,1),(340,1),(431,1),(438,1),(442,1),(443,1),(505,1),(507,1)}
       394:{1,3,4,7}:{(336,1),(337,1),(353,1),(432,1),(439,1),(443,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       395:{3,5,7}:{(338,1),(339,1),(341,1),(441,1),(444,1),(540,1)}
       396:{2,3}:{(340,1),(354,1)}
       397:{4,5}:{(341,1),(434,1)}
       398:{1,5,6}:{(342,1),(345,1),(348,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(346,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(350,1),(356,1),(429,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(347,1),(351,1),(357,1),(430,1),(534,1)}
       402:{1,4,7}:{(345,1),(346,1),(432,1),(445,1)}
       403:{1,2,5}:{(348,1),(352,1),(363,1),(438,1),(447,1),(539,1)}
       404:{1,5,7}:{(348,1),(349,1),(353,1),(449,1)}
       405:{2,6}:{(349,1),(350,1),(449,1)}
       406:{1,3,6}:{(352,1),(354,1),(367,1),(442,1),(447,1),(450,1)}
       407:{1,2,4,7}:{(352,1),(353,1),(355,1),(368,1),(443,1),(448,1),(450,1),(508,1)}
       408:{3,5,6,7}:{(356,1),(357,1),(358,1),(366,1),(451,1),(548,1)}
       409:{4,5,7}:{(358,1),(359,1),(451,1)}
       410:{2,4,5}:{(360,1),(363,1),(370,1),(452,1),(457,1)}
       411:{1,4,5,7}:{(360,1),(361,1),(364,1),(371,1),(453,1),(454,1),(462,1),(508,1),(539,1)}
       412:{2,4,6}:{(361,1),(362,1),(365,1),(454,1),(455,1)}
       413:{3,5,6}:{(362,1),(373,1),(455,1),(456,1),(549,1)}
       414:{2,3,5}:{(363,1),(367,1),(447,1),(452,1),(457,1)}
       415:{2,5,7}:{(363,1),(364,1),(368,1),(459,1)}
       416:{1,3,6}:{(364,1),(365,1),(449,1),(454,1),(459,1),(511,1)}
       417:{4,6}:{(366,1),(369,1)}
       418:{2,3,7}:{(367,1),(368,1),(450,1),(460,1)}
       419:{3,6}:{(370,1),(452,1),(460,1)}
       420:{2,4,7}:{(370,1),(371,1),(374,1),(460,1)}
       421:{1,4,6,7}:{(371,1),(372,1),(375,1),(454,1),(461,1),(462,1)}
       422:{2,5,7}:{(372,1),(373,1),(455,1),(462,1)}
       423:{4,5,7}:{(373,1),(376,1),(456,1)}
       424:{2,6,7}:{(374,1),(375,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(387,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(379,1),(464,1),(471,1)}
       427:{1,3,5,6}:{(378,1),(381,1),(389,1),(398,1),(463,1),(466,1),(467,1),(478,1),(515,1),(524,1),(545,1)}
       428:{2,3,5,7}:{(378,1),(379,1),(382,1),(399,1),(464,1),(467,1),(468,1),(518,1)}
       429:{3,6,7}:{(379,1),(380,1),(391,1)}
       430:{2,5,6,7}:{(380,1),(384,1),(392,1),(401,1),(469,1),(518,1)}
       431:{2,6}:{(381,1),(385,1),(470,1)}
       432:{1,3,7}:{(381,1),(382,1),(402,1),(470,1)}
       433:{3,5,7}:{(383,1),(384,1),(386,1),(471,1)}
       434:{4,6}:{(386,1),(397,1),(471,1)}
       435:{1,4,5}:{(387,1),(389,1),(463,1),(472,1),(482,1),(552,1)}
       436:{2,4,5,7}:{(387,1),(388,1),(390,1),(464,1),(473,1),(474,1),(489,1),(518,1),(530,1)}
       437:{3,4,6}:{(388,1),(391,1),(474,1),(475,1),(479,1)}
       438:{2,5}:{(389,1),(393,1)}
       439:{1,3,5,7}:{(389,1),(390,1),(394,1),(404,1),(473,1),(477,1),(478,1),(522,1)}
       440:{2,3,6}:{(390,1),(391,1),(405,1),(474,1),(478,1)}
       441:{3,5,6}:{(391,1),(392,1),(395,1),(479,1)}
       442:{2,3,6}:{(393,1),(396,1),(406,1),(476,1),(480,1),(515,1)}
       443:{2,4,7}:{(393,1),(394,1),(470,1),(477,1),(480,1)}
       444:{4,5,7}:{(395,1),(397,1),(471,1),(479,1),(531,1),(547,1)}
       445:{1,5,7}:{(398,1),(399,1),(402,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(405,1),(481,1)}
       447:{1,3,5}:{(403,1),(406,1),(414,1),(476,1),(482,1)}
       448:{1,2,5,7}:{(403,1),(404,1),(407,1),(415,1),(477,1),(483,1),(484,1)}
       449:{1,6}:{(404,1),(405,1)}
       450:{1,3,7}:{(406,1),(407,1),(418,1),(480,1)}
       451:{4,6,7}:{(408,1),(409,1),(417,1),(551,1)}
       452:{3,5}:{(410,1),(419,1),(485,1)}
       453:{2,4,5,7}:{(410,1),(411,1),(415,1),(420,1),(486,1),(487,1),(489,1),(492,1),(530,1),(531,1),(547,1)}
       454:{1,4,6}:{(411,1),(412,1),(416,1),(487,1),(488,1)}
       455:{2,5,6}:{(412,1),(413,1),(422,1),(488,1),(546,1)}
       456:{4,5,6}:{(413,1),(417,1),(423,1),(552,1)}
       457:{2,4}:{(414,1),(482,1),(485,1)}
       458:{2,3,5,7}:{(414,1),(415,1),(418,1),(483,1),(486,1),(489,1),(490,1),(530,1)}
       459:{2,6}:{(415,1),(416,1)}
       460:{3,7}:{(419,1),(420,1)}
       461:{2,4,6,7}:{(420,1),(421,1),(424,1),(487,1),(491,1),(492,1),(531,1)}
       462:{1,5,7}:{(421,1),(422,1),(488,1),(492,1)}
       463:{1,4,6}:{(425,1),(427,1),(435,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(428,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(437,1),(495,1),(496,1),(499,1)}
       466:{2,5,6}:{(427,1),(431,1),(438,1),(493,1),(497,1),(507,1)}
       467:{1,3,5,7}:{(427,1),(428,1),(432,1),(445,1),(494,1),(497,1),(498,1),(532,1),(534,1),(548,1)}
       468:{2,3,6,7}:{(428,1),(429,1),(440,1),(446,1),(495,1),(498,1)}
       469:{3,5,6,7}:{(429,1),(430,1),(433,1),(441,1),(496,1),(499,1)}
       470:{2,7}:{(431,1),(432,1)}
       471:{4,7}:{(433,1),(434,1)}
       472:{2,4,5}:{(435,1),(438,1),(493,1),(500,1),(505,1)}
       473:{1,4,5,7}:{(435,1),(436,1),(439,1),(494,1),(501,1),(502,1),(508,1),(534,1),(539,1)}
       474:{2,4,6}:{(436,1),(437,1),(440,1),(502,1),(503,1)}
       475:{3,5,6}:{(437,1),(496,1),(503,1),(504,1),(540,1)}
       476:{2,3,5}:{(438,1),(442,1),(447,1),(500,1),(505,1)}
       477:{2,5,7}:{(438,1),(439,1),(443,1),(507,1)}
       478:{1,3,6}:{(439,1),(440,1),(449,1),(502,1),(507,1),(536,1)}
       479:{4,6}:{(441,1),(444,1)}
       480:{2,3,7}:{(442,1),(443,1),(450,1),(532,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(457,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(458,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(459,1),(507,1),(509,1)}
       485:{3,4}:{(452,1),(457,1)}
       486:{3,5,7}:{(452,1),(453,1),(460,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(453,1),(454,1),(459,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(454,1),(455,1),(462,1),(512,1),(539,1)}
       489:{2,4,7}:{(457,1),(458,1),(508,1),(510,1),(513,1)}
       490:{2,3,6}:{(458,1),(459,1),(509,1),(511,1),(513,1)}
       491:{3,6,7}:{(460,1),(461,1),(511,1),(514,1)}
       492:{2,5,7}:{(461,1),(462,1),(512,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(472,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(467,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(474,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(475,1),(518,1),(519,1)}
       497:{2,5,7}:{(466,1),(467,1),(470,1),(516,1),(520,1)}
       498:{1,3,6,7}:{(467,1),(468,1),(478,1),(481,1),(517,1),(520,1),(542,1)}
       499:{4,6,7}:{(469,1),(471,1),(479,1),(519,1)}
       500:{3,5}:{(472,1),(515,1),(521,1)}
       501:{2,4,5,7}:{(472,1),(473,1),(477,1),(516,1),(522,1),(523,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       502:{1,4,6}:{(473,1),(474,1),(478,1),(523,1),(524,1)}
       503:{2,5,6}:{(474,1),(475,1),(518,1),(524,1),(530,1)}
       504:{4,5,6}:{(475,1),(479,1),(519,1),(547,1)}
       505:{2,4}:{(476,1),(482,1),(521,1)}
       506:{2,3,5,7}:{(476,1),(477,1),(480,1),(483,1),(522,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(477,1),(478,1)}
       508:{1,4,7}:{(482,1),(483,1),(489,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(490,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(489,1),(528,1),(531,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(492,1),(529,1),(530,1)}
       513:{2,4,6}:{(489,1),(490,1),(527,1),(528,1),(530,1)}
       514:{3,5,7}:{(491,1),(492,1),(529,1),(531,1)}
       515:{3,6}:{(493,1),(500,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(497,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(498,1),(502,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(503,1),(534,1)}
       519:{4,5,7}:{(496,1),(499,1),(504,1)}
       520:{2,6,7}:{(497,1),(498,1),(507,1)}
       521:{3,4}:{(500,1),(505,1)}
       522:{3,5,7}:{(500,1),(501,1),(532,1),(535,1),(536,1),(549,1)}
       523:{2,4,6}:{(501,1),(502,1),(507,1),(536,1),(537,1),(550,1)}
       524:{1,5,6}:{(502,1),(503,1),(534,1),(537,1),(539,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(513,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(513,1),(539,1),(540,1)}
       531:{4,7}:{(514,1),(541,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(520,1),(523,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(524,1),(543,1)}
       535:{3,4,7}:{(521,1),(522,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{2,5,6}:{(523,1),(524,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{3,5}:{(528,1),(530,1),(547,1)}
       541:{4,6}:{(529,1),(531,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 434 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(41,1),(66,1),(106,1),(239,1),(310,1),(322,1)}
         1:{1,3,4,7}:{(0,1),(4,1),(5,1),(6,1),(22,1),(73,1),(82,1),(95,1),(185,1),(294,1),(374,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(361,1),(372,1)}
         3:{2,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(39,1),(70,1),(151,1),(154,1),(179,1),(186,1),(257,1),(268,1)}
         4:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(347,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(52,1),(418,1)}
         6:{1,3,4,6}:{(1,1),(3,1),(13,1),(15,1),(16,1),(44,1),(60,1),(112,1),(115,1),(124,1),(129,1),(135,1),(232,1),(240,1),(323,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(17,1),(18,1),(21,1),(64,1),(66,1),(106,1),(202,1)}
         8:{2,3,6}:{(2,1),(15,1),(18,1),(407,1),(417,1)}
         9:{2,3,5}:{(3,1),(16,1),(21,1),(202,1),(309,1),(321,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(68,1),(73,1),(374,1),(377,1)}
        11:{2,3,7}:{(4,1),(22,1),(27,1),(185,1)}
        12:{2,5,7}:{(4,1),(5,1),(29,1),(30,1)}
        13:{2,4,6}:{(4,1),(6,1),(27,1),(29,1),(30,1),(86,1),(287,1),(295,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(28,1),(31,1),(34,1),(73,1),(93,1),(95,1),(160,1)}
        15:{1,3,6}:{(5,1),(8,1),(29,1),(31,1),(87,1),(454,1)}
        16:{1,3,5}:{(6,1),(9,1),(30,1),(34,1),(92,1),(160,1),(174,1),(373,1)}
        17:{3,4,5,7}:{(7,1),(35,1),(40,1),(98,1),(103,1),(150,1),(253,1),(358,1),(361,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(35,1),(37,1)}
        19:{2,3,6,7}:{(8,1),(32,1),(36,1),(38,1),(194,1),(296,1)}
        20:{2,3,5,6}:{(8,1),(9,1),(33,1),(37,1),(38,1),(39,1),(102,1),(186,1),(190,1)}
        21:{2,4,5}:{(9,1),(34,1),(39,1),(40,1),(154,1)}
        22:{1,3,7}:{(10,1),(11,1),(41,1),(44,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(43,1),(45,1),(46,1),(104,1),(418,1)}
        24:{1,2,4,6}:{(10,1),(13,1),(44,1),(45,1),(46,1),(105,1),(112,1),(115,1),(323,1),(324,1),(326,1)}
        25:{2,3,4,7}:{(11,1),(42,1),(47,1),(48,1),(49,1),(223,1),(230,1),(322,1),(401,1)}
        26:{2,3,5,7}:{(11,1),(12,1),(43,1),(49,1),(50,1),(51,1),(52,1),(126,1)}
        27:{2,3,6}:{(11,1),(13,1),(44,1),(51,1),(135,1),(339,1)}
        28:{2,4,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(56,1),(126,1),(132,1),(134,1),(226,1),(234,1)}
        29:{2,6}:{(12,1),(15,1)}
        30:{2,5}:{(13,1),(16,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(53,1),(58,1)}
        32:{1,3,6,7}:{(15,1),(19,1),(54,1),(57,1),(59,1),(130,1),(348,1)}
        33:{1,3,5,6}:{(15,1),(16,1),(20,1),(55,1),(58,1),(59,1),(60,1),(131,1),(135,1),(240,1),(244,1)}
        34:{1,4,5}:{(16,1),(21,1),(56,1),(60,1),(115,1),(226,1)}
        35:{3,4,6}:{(17,1),(18,1),(63,1),(404,1),(407,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(57,1),(62,1),(64,1),(66,1)}
        37:{2,5,6}:{(18,1),(58,1),(63,1),(64,1),(202,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(59,1),(64,1),(66,1),(146,1),(239,1),(243,1)}
        39:{2,4,6}:{(20,1),(21,1),(60,1),(66,1),(67,1)}
        40:{3,4,5}:{(21,1),(67,1),(205,1),(309,1),(547,1)}
        41:{2,3,7}:{(22,1),(68,1),(70,1),(354,1)}
        42:{1,3,4,7}:{(22,1),(25,1),(68,1),(71,1),(72,1),(73,1),(150,1),(261,1),(354,1),(374,1),(441,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(26,1),(69,1),(73,1),(74,1),(75,1),(160,1)}
        44:{1,3,6}:{(22,1),(24,1),(27,1),(70,1),(75,1),(376,1)}
        45:{1,2,6}:{(23,1),(29,1),(74,1),(148,1),(454,1)}
        46:{1,2,5}:{(24,1),(30,1),(75,1),(149,1),(160,1),(373,1)}
        47:{2,3,5,7}:{(25,1),(71,1),(79,1),(80,1),(81,1),(283,1),(372,1)}
        48:{2,3,4,6}:{(25,1),(27,1),(72,1),(80,1),(81,1),(83,1),(86,1),(171,1),(178,1),(258,1),(268,1),(355,1)}
        49:{2,4,7}:{(26,1),(73,1),(82,1),(83,1),(86,1)}
        50:{2,3,6}:{(26,1),(29,1),(74,1),(83,1),(87,1)}
        51:{2,3,5}:{(27,1),(30,1),(75,1),(86,1),(92,1)}
        52:{3,5,7}:{(28,1),(82,1),(87,1),(92,1),(174,1),(185,1)}
        53:{2,4,6}:{(28,1),(29,1),(31,1),(87,1),(89,1),(181,1)}
        54:{2,6,7}:{(29,1),(32,1),(90,1)}
        55:{2,5,6}:{(29,1),(30,1),(33,1),(90,1),(91,1),(295,1)}
        56:{2,4,5}:{(30,1),(34,1),(86,1),(91,1),(92,1)}
        57:{1,4,6,7}:{(31,1),(32,1),(36,1),(88,1),(93,1),(95,1)}
        58:{1,5,6}:{(31,1),(37,1),(89,1),(93,1),(160,1)}
        59:{1,3,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(95,1),(180,1),(185,1),(294,1),(297,1)}
        60:{1,4,6}:{(33,1),(34,1),(39,1),(91,1),(95,1),(181,1)}
        61:{1,3,4,5}:{(34,1),(40,1),(92,1),(96,1),(97,1),(163,1),(187,1),(266,1),(281,1),(383,1),(461,1)}
        62:{3,4,6,7}:{(35,1),(36,1),(98,1),(103,1),(193,1),(194,1)}
        63:{3,5,6}:{(35,1),(37,1),(98,1),(99,1),(253,1)}
        64:{2,5,7}:{(36,1),(37,1),(93,1),(98,1)}
        65:{2,4,5,6}:{(37,1),(39,1),(94,1),(99,1),(101,1),(102,1),(190,1),(255,1),(360,1),(392,1),(511,1),(540,1)}
        66:{2,4,7}:{(38,1),(39,1),(95,1),(103,1)}
        67:{3,4,6}:{(39,1),(40,1),(102,1),(103,1),(540,1)}
        68:{2,4,7}:{(41,1),(42,1),(104,1),(105,1),(475,1)}
        69:{2,3,5,7}:{(41,1),(43,1),(104,1),(106,1),(107,1),(108,1),(195,1),(202,1)}
        70:{2,3,6}:{(41,1),(44,1),(105,1),(108,1),(303,1),(412,1)}
        71:{1,3,5,7}:{(42,1),(47,1),(104,1),(109,1),(110,1),(111,1),(195,1),(418,1)}
        72:{1,3,4,6}:{(42,1),(44,1),(48,1),(105,1),(110,1),(111,1),(112,1),(115,1),(200,1),(205,1),(209,1),(303,1),(312,1),(323,1),(402,1)}
        73:{1,4,7}:{(43,1),(49,1),(106,1),(112,1),(115,1)}
        74:{1,3,6}:{(43,1),(45,1),(50,1),(107,1),(112,1)}
        75:{1,3,5}:{(44,1),(46,1),(51,1),(108,1),(115,1)}
        76:{1,2,6,7}:{(45,1),(54,1),(113,1),(116,1),(197,1),(348,1),(417,1),(434,1),(484,1),(485,1),(520,1)}
        77:{1,2,5,6}:{(45,1),(46,1),(55,1),(114,1),(116,1),(117,1),(198,1),(244,1),(321,1),(326,1),(346,1),(415,1),(417,1),(419,1),(474,1),(485,1)}
        78:{1,2,4,5}:{(46,1),(56,1),(115,1),(117,1),(118,1),(142,1),(199,1),(212,1),(215,1),(241,1),(318,1),(321,1),(324,1),(403,1),(419,1),(425,1),(479,1),(487,1)}
        79:{2,4,5,7}:{(47,1),(49,1),(109,1),(119,1),(120,1),(123,1),(126,1),(221,1),(223,1)}
        80:{2,3,6}:{(47,1),(110,1),(120,1),(334,1),(417,1)}
        81:{2,3,5}:{(48,1),(111,1),(123,1),(126,1),(229,1),(321,1)}
        82:{3,4,7}:{(49,1),(52,1),(124,1),(129,1),(234,1)}
        83:{2,4,6}:{(49,1),(50,1),(112,1),(124,1),(126,1)}
        84:{2,3,6,7}:{(50,1),(54,1),(113,1),(125,1),(127,1),(130,1),(334,1),(417,1),(520,1),(525,1),(543,1)}
        85:{2,3,5,6}:{(50,1),(51,1),(55,1),(114,1),(126,1),(127,1),(128,1),(131,1),(135,1),(217,1),(227,1),(229,1),(321,1),(334,1),(417,1),(474,1),(482,1),(519,1),(525,1),(544,1),(546,1)}
        86:{2,4}:{(51,1),(115,1),(129,1)}
        87:{3,6}:{(52,1),(53,1)}
        88:{2,4,6,7}:{(53,1),(54,1),(57,1),(130,1),(132,1),(134,1),(234,1)}
        89:{2,5,6}:{(53,1),(58,1),(126,1),(131,1),(132,1)}
        90:{2,5,7}:{(54,1),(55,1),(59,1),(134,1),(347,1)}
        91:{2,4,6}:{(55,1),(56,1),(60,1),(134,1),(135,1)}
        92:{3,5}:{(56,1),(129,1),(135,1)}
        93:{1,5,7}:{(57,1),(58,1),(64,1),(132,1)}
        94:{1,4,5,6}:{(58,1),(60,1),(65,1),(133,1),(138,1),(139,1),(212,1),(244,1),(319,1),(343,1),(488,1)}
        95:{1,4,7}:{(59,1),(60,1),(66,1),(134,1),(234,1)}
        96:{1,3,4,6}:{(60,1),(61,1),(67,1),(135,1),(139,1),(140,1),(141,1),(235,1),(240,1),(343,1),(433,1)}
        97:{2,4,5}:{(61,1),(136,1),(141,1),(142,1),(215,1),(241,1),(321,1)}
        98:{3,5,7}:{(62,1),(63,1),(64,1),(144,1)}
        99:{4,5,6}:{(63,1),(144,1),(306,1),(404,1)}
       100:{2,5,6,7}:{(64,1),(137,1),(143,1),(145,1),(307,1),(494,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(66,1),(138,1),(144,1),(145,1),(146,1),(243,1),(432,1),(494,1),(531,1)}
       102:{3,5,6}:{(65,1),(67,1),(146,1),(309,1),(407,1),(433,1)}
       103:{3,4,7}:{(66,1),(67,1),(146,1),(531,1)}
       104:{2,5,7}:{(68,1),(71,1),(148,1),(149,1)}
       105:{2,4,6}:{(68,1),(70,1),(72,1),(148,1),(149,1),(154,1),(365,1),(442,1)}
       106:{2,4,7}:{(69,1),(73,1),(150,1),(151,1),(154,1)}
       107:{2,3,6}:{(69,1),(74,1),(148,1),(151,1),(246,1)}
       108:{2,3,5}:{(70,1),(75,1),(149,1),(154,1),(251,1)}
       109:{1,4,5,7}:{(71,1),(73,1),(79,1),(147,1),(155,1),(158,1),(160,1),(259,1),(261,1)}
       110:{1,3,6}:{(71,1),(80,1),(148,1),(155,1),(246,1),(454,1)}
       111:{1,3,5}:{(72,1),(81,1),(149,1),(158,1),(160,1),(251,1),(253,1),(373,1)}
       112:{1,4,6}:{(73,1),(74,1),(83,1),(151,1),(160,1)}
       113:{1,3,6,7}:{(74,1),(76,1),(84,1),(152,1),(159,1),(161,1),(371,1),(454,1),(509,1)}
       114:{1,3,5,6}:{(74,1),(75,1),(77,1),(85,1),(153,1),(160,1),(161,1),(162,1),(165,1),(264,1),(266,1),(271,1),(371,1),(373,1),(454,1),(456,1),(509,1),(539,1)}
       115:{1,4}:{(75,1),(86,1),(154,1)}
       116:{1,2,5,7}:{(76,1),(77,1),(90,1),(161,1),(164,1),(249,1),(297,1),(372,1),(377,1),(394,1),(453,1),(501,1)}
       117:{1,2,4,6}:{(77,1),(78,1),(91,1),(162,1),(164,1),(165,1),(192,1),(250,1),(268,1),(295,1),(370,1),(392,1),(442,1),(499,1)}
       118:{1,3,5}:{(78,1),(92,1),(163,1),(165,1),(166,1),(251,1),(376,1),(461,1),(505,1)}
       119:{3,4,5,7}:{(79,1),(82,1),(167,1),(172,1),(174,1),(273,1),(278,1),(280,1),(283,1)}
       120:{2,4,6}:{(79,1),(80,1),(155,1),(167,1),(169,1)}
       121:{2,3,6,7}:{(80,1),(156,1),(168,1),(170,1),(379,1),(452,1)}
       122:{2,3,5,6}:{(80,1),(81,1),(157,1),(169,1),(170,1),(171,1),(277,1),(355,1),(368,1)}
       123:{2,4,5}:{(81,1),(86,1),(158,1),(171,1),(172,1)}
       124:{3,4,6}:{(82,1),(83,1),(87,1),(174,1),(181,1)}
       125:{2,4,6,7}:{(83,1),(84,1),(159,1),(173,1),(175,1),(177,1),(282,1),(538,1)}
       126:{2,5}:{(83,1),(160,1),(174,1)}
       127:{2,3,5,7}:{(84,1),(85,1),(90,1),(161,1),(175,1),(177,1),(180,1),(185,1),(270,1),(283,1),(372,1),(501,1),(534,1),(548,1)}
       128:{2,4,6}:{(85,1),(86,1),(162,1),(176,1),(177,1),(178,1),(181,1),(508,1),(549,1)}
       129:{3,4}:{(86,1),(92,1)}
       130:{3,6,7}:{(87,1),(88,1),(180,1),(185,1)}
       131:{3,5,6}:{(87,1),(89,1),(174,1),(180,1),(181,1)}
       132:{2,5,7}:{(88,1),(89,1),(93,1),(180,1)}
       133:{2,4,5,6}:{(89,1),(91,1),(94,1),(176,1),(181,1),(183,1),(184,1),(190,1),(282,1),(290,1),(380,1),(458,1)}
       134:{2,4,7}:{(90,1),(91,1),(95,1),(185,1)}
       135:{3,6}:{(91,1),(92,1),(185,1)}
       136:{2,3,5}:{(92,1),(97,1),(179,1),(186,1),(187,1),(461,1)}
       137:{1,5,6,7}:{(93,1),(100,1),(182,1),(188,1),(264,1),(465,1)}
       138:{1,4,5,7}:{(93,1),(94,1),(95,1),(101,1),(183,1),(188,1),(189,1),(297,1),(391,1),(465,1)}
       139:{1,3,5,6}:{(94,1),(96,1),(102,1),(184,1),(189,1),(190,1),(266,1),(371,1)}
       140:{1,3,4,7}:{(95,1),(96,1),(103,1),(185,1),(189,1),(191,1),(289,1),(294,1),(391,1),(467,1)}
       141:{2,4,6}:{(96,1),(97,1),(186,1),(190,1),(191,1),(192,1),(295,1)}
       142:{1,4,5}:{(97,1),(187,1),(192,1),(269,1),(373,1)}
       143:{3,5,6,7}:{(98,1),(100,1),(193,1),(194,1),(357,1),(515,1)}
       144:{4,5,7}:{(98,1),(99,1),(193,1)}
       145:{2,4,6,7}:{(100,1),(101,1),(188,1),(193,1),(194,1),(296,1),(360,1)}
       146:{3,5,7}:{(101,1),(102,1),(103,1),(194,1),(467,1)}
       147:{2,4,5,7}:{(104,1),(106,1),(109,1),(195,1),(196,1),(199,1),(202,1),(300,1),(302,1),(306,1),(396,1)}
       148:{2,6}:{(104,1),(110,1)}
       149:{2,5}:{(105,1),(111,1)}
       150:{3,4,7}:{(106,1),(195,1),(200,1),(205,1),(396,1)}
       151:{2,4,6}:{(106,1),(107,1),(112,1),(200,1),(202,1)}
       152:{2,3,6,7}:{(107,1),(113,1),(197,1),(201,1),(203,1),(298,1),(407,1),(417,1),(434,1),(492,1),(495,1)}
       153:{2,3,5,6}:{(107,1),(108,1),(114,1),(198,1),(202,1),(203,1),(204,1),(217,1),(299,1),(303,1),(307,1),(309,1),(321,1),(346,1),(407,1),(417,1),(428,1),(433,1),(492,1),(528,1),(530,1)}
       154:{2,4}:{(108,1),(115,1),(205,1)}
       155:{1,4,6}:{(109,1),(110,1),(120,1),(196,1),(207,1)}
       156:{1,3,6,7}:{(110,1),(121,1),(197,1),(206,1),(208,1),(298,1),(484,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(122,1),(198,1),(207,1),(208,1),(209,1),(299,1),(303,1),(402,1),(415,1)}
       158:{1,4,5}:{(111,1),(115,1),(123,1),(199,1),(209,1),(306,1)}
       159:{1,4,6,7}:{(112,1),(113,1),(125,1),(201,1),(211,1),(213,1),(319,1),(527,1)}
       160:{1,5}:{(112,1),(126,1),(202,1)}
       161:{1,3,5,7}:{(113,1),(114,1),(116,1),(127,1),(203,1),(211,1),(213,1),(216,1),(325,1),(418,1)}
       162:{1,4,6}:{(114,1),(115,1),(128,1),(204,1),(212,1),(213,1),(487,1)}
       163:{1,3,4}:{(115,1),(118,1),(129,1),(205,1),(215,1),(487,1),(491,1),(524,1)}
       164:{1,2,4,7}:{(116,1),(117,1),(134,1),(213,1),(216,1),(245,1),(302,1),(322,1),(347,1),(416,1),(432,1),(475,1),(518,1)}
       165:{1,3,6}:{(117,1),(118,1),(135,1),(216,1),(217,1),(303,1),(433,1),(519,1)}
       166:{2,3,5}:{(118,1),(215,1),(217,1),(218,1),(241,1),(321,1),(339,1),(403,1),(412,1)}
       167:{3,4,6}:{(119,1),(120,1),(220,1),(331,1),(334,1)}
       168:{2,4,6,7}:{(120,1),(121,1),(206,1),(219,1),(221,1),(223,1)}
       169:{2,5,6}:{(120,1),(126,1),(207,1),(220,1),(221,1)}
       170:{2,3,5,7}:{(121,1),(122,1),(208,1),(221,1),(223,1),(330,1),(401,1),(414,1)}
       171:{2,4,6}:{(122,1),(123,1),(209,1),(223,1),(224,1)}
       172:{3,4,5}:{(123,1),(129,1),(224,1),(229,1),(552,1)}
       173:{3,4,6,7}:{(124,1),(125,1),(130,1),(225,1),(230,1),(234,1),(331,1),(334,1),(543,1),(545,1),(551,1)}
       174:{3,5}:{(124,1),(126,1),(226,1)}
       175:{2,5,7}:{(125,1),(126,1),(211,1),(225,1),(227,1),(546,1)}
       176:{2,4,5}:{(126,1),(128,1),(212,1),(226,1),(229,1),(321,1),(546,1),(552,1)}
       177:{2,4,7}:{(127,1),(128,1),(213,1),(230,1),(234,1),(551,1)}
       178:{3,4,6}:{(128,1),(129,1),(135,1),(229,1),(230,1),(334,1),(519,1),(524,1)}
       179:{2,3,4}:{(129,1),(136,1),(215,1),(232,1),(412,1),(491,1)}
       180:{3,5,7}:{(130,1),(131,1),(132,1),(234,1)}
       181:{4,6}:{(131,1),(226,1),(234,1)}
       182:{2,5,6,7}:{(132,1),(137,1),(227,1),(233,1),(236,1),(430,1)}
       183:{2,4,5,7}:{(132,1),(133,1),(134,1),(138,1),(234,1),(236,1),(237,1),(243,1),(340,1),(342,1),(430,1)}
       184:{3,5,6}:{(133,1),(135,1),(229,1),(235,1),(237,1),(334,1)}
       185:{3,7}:{(134,1),(135,1)}
       186:{2,3,6}:{(135,1),(136,1),(141,1),(239,1),(240,1),(433,1)}
       187:{1,3,5}:{(136,1),(142,1),(232,1),(240,1),(241,1)}
       188:{1,4,6,7}:{(137,1),(138,1),(145,1),(236,1),(242,1),(319,1),(348,1)}
       189:{1,3,5,7}:{(138,1),(139,1),(140,1),(146,1),(237,1),(242,1),(243,1)}
       190:{2,5,6}:{(139,1),(141,1),(243,1),(244,1),(321,1),(417,1)}
       191:{2,4,7}:{(140,1),(141,1),(239,1),(243,1),(245,1),(347,1)}
       192:{1,4,6}:{(141,1),(142,1),(240,1),(244,1),(245,1)}
       193:{4,6,7}:{(143,1),(144,1),(404,1),(531,1)}
       194:{3,6,7}:{(145,1),(146,1),(407,1)}
       195:{3,5,7}:{(147,1),(150,1),(246,1),(251,1),(253,1),(354,1)}
       196:{2,4,6}:{(147,1),(148,1),(155,1),(246,1),(248,1),(350,1)}
       197:{2,6,7}:{(148,1),(156,1),(249,1)}
       198:{2,5,6}:{(148,1),(149,1),(157,1),(249,1),(250,1),(442,1)}
       199:{2,4,5}:{(149,1),(154,1),(158,1),(250,1),(251,1)}
       200:{3,4,6}:{(150,1),(151,1),(246,1),(253,1),(350,1)}
       201:{2,4,6,7}:{(151,1),(152,1),(159,1),(252,1),(254,1),(256,1),(360,1),(514,1)}
       202:{2,5}:{(151,1),(160,1),(253,1)}
       203:{2,3,5,7}:{(152,1),(153,1),(161,1),(249,1),(254,1),(256,1),(270,1),(349,1),(354,1),(361,1),(372,1),(394,1),(467,1),(515,1)}
       204:{2,4,6}:{(153,1),(154,1),(162,1),(255,1),(256,1),(257,1),(350,1),(464,1),(540,1)}
       205:{3,4}:{(154,1),(251,1)}
       206:{1,4,6,7}:{(155,1),(156,1),(168,1),(247,1),(259,1),(261,1)}
       207:{1,5,6}:{(155,1),(160,1),(169,1),(248,1),(259,1)}
       208:{1,3,5,7}:{(156,1),(157,1),(170,1),(249,1),(259,1),(261,1),(349,1),(354,1),(441,1),(453,1)}
       209:{1,4,6}:{(157,1),(158,1),(171,1),(250,1),(261,1),(350,1)}
       210:{1,3,4,5}:{(158,1),(163,1),(172,1),(251,1),(262,1),(263,1),(266,1),(356,1),(359,1),(446,1),(505,1)}
       211:{1,5,7}:{(159,1),(160,1),(175,1),(254,1),(264,1),(539,1)}
       212:{1,4,5}:{(160,1),(162,1),(176,1),(255,1),(266,1),(373,1),(539,1)}
       213:{1,4,7}:{(161,1),(162,1),(177,1),(256,1)}
       214:{1,3,4,6}:{(162,1),(163,1),(165,1),(178,1),(257,1),(266,1),(267,1),(268,1),(371,1)}
       215:{2,4}:{(163,1),(166,1),(269,1)}
       216:{1,3,7}:{(164,1),(165,1),(185,1),(270,1),(354,1),(467,1),(534,1)}
       217:{2,3,6}:{(165,1),(166,1),(268,1),(270,1),(271,1),(295,1),(442,1)}
       218:{1,3,5}:{(166,1),(269,1),(271,1),(272,1),(373,1),(376,1)}
       219:{3,4,6,7}:{(167,1),(168,1),(273,1),(278,1),(378,1),(379,1)}
       220:{3,5,6}:{(167,1),(169,1),(174,1),(273,1),(274,1)}
       221:{2,5,7}:{(168,1),(169,1),(259,1),(273,1)}
       222:{2,4,5,6}:{(169,1),(171,1),(176,1),(260,1),(274,1),(276,1),(277,1),(282,1),(368,1),(499,1),(535,1),(549,1)}
       223:{2,4,7}:{(170,1),(171,1),(261,1),(278,1)}
       224:{3,4,6}:{(171,1),(172,1),(277,1),(278,1),(549,1)}
       225:{3,5,7}:{(173,1),(174,1),(175,1),(279,1),(280,1),(550,1)}
       226:{4,5}:{(174,1),(181,1)}
       227:{2,5,6}:{(175,1),(264,1),(279,1),(282,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(177,1),(265,1),(280,1),(282,1),(283,1),(372,1)}
       229:{3,5}:{(176,1),(178,1)}
       230:{3,4,7}:{(177,1),(178,1),(185,1),(283,1),(534,1)}
       231:{2,3,4,6}:{(178,1),(179,1),(186,1),(268,1),(284,1),(285,1),(286,1),(290,1),(384,1),(451,1),(508,1),(538,1)}
       232:{1,3,4}:{(179,1),(187,1),(269,1),(287,1),(376,1)}
       233:{3,5,6,7}:{(180,1),(182,1),(279,1),(288,1),(291,1),(389,1)}
       234:{4,7}:{(180,1),(181,1)}
       235:{3,4,6}:{(181,1),(184,1),(281,1),(289,1),(290,1)}
       236:{2,4,6,7}:{(182,1),(183,1),(188,1),(282,1),(288,1),(291,1),(296,1)}
       237:{3,5,7}:{(183,1),(184,1),(185,1),(289,1),(291,1)}
       238:{2,3,5,6}:{(184,1),(186,1),(190,1),(284,1),(290,1),(292,1),(293,1),(384,1),(458,1)}
       239:{2,3,7}:{(185,1),(186,1),(191,1),(294,1),(467,1)}
       240:{1,3,6}:{(186,1),(187,1),(192,1),(294,1),(295,1)}
       241:{2,5}:{(187,1),(287,1),(295,1)}
       242:{1,3,6,7}:{(188,1),(189,1),(194,1),(291,1),(296,1),(371,1)}
       243:{2,5,7}:{(189,1),(190,1),(191,1),(296,1),(297,1)}
       244:{1,5,6}:{(190,1),(192,1),(297,1),(373,1),(454,1)}
       245:{1,4,7}:{(191,1),(192,1),(294,1),(297,1)}
       246:{3,6}:{(195,1),(196,1)}
       247:{2,4,6,7}:{(196,1),(197,1),(206,1),(298,1),(300,1),(302,1),(396,1)}
       248:{2,5,6}:{(196,1),(202,1),(207,1),(299,1),(300,1)}
       249:{2,5,7}:{(197,1),(198,1),(208,1),(302,1),(475,1)}
       250:{2,4,6}:{(198,1),(199,1),(209,1),(302,1),(303,1)}
       251:{3,5}:{(199,1),(205,1),(303,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(298,1),(305,1),(310,1),(396,1),(404,1),(407,1),(495,1),(529,1),(531,1)}
       253:{3,5}:{(200,1),(202,1),(306,1)}
       254:{2,5,7}:{(201,1),(202,1),(211,1),(305,1),(307,1),(530,1)}
       255:{2,4,5}:{(202,1),(204,1),(212,1),(306,1),(309,1),(321,1),(530,1),(547,1)}
       256:{2,4,7}:{(203,1),(204,1),(213,1),(310,1),(396,1),(531,1)}
       257:{3,4,6}:{(204,1),(205,1),(303,1),(309,1),(310,1),(407,1),(433,1),(491,1)}
       258:{2,3,4}:{(205,1),(215,1),(304,1),(312,1),(339,1),(524,1)}
       259:{1,5,7}:{(206,1),(207,1),(221,1),(300,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(212,1),(222,1),(301,1),(314,1),(315,1),(319,1),(415,1),(471,1),(521,1)}
       261:{1,4,7}:{(208,1),(209,1),(223,1),(302,1),(396,1)}
       262:{1,3,4,6}:{(209,1),(210,1),(224,1),(303,1),(315,1),(316,1),(317,1),(397,1),(402,1),(471,1),(519,1)}
       263:{2,4,5}:{(210,1),(215,1),(304,1),(317,1),(318,1),(321,1),(403,1)}
       264:{1,5,6}:{(211,1),(227,1),(307,1),(319,1)}
       265:{1,4,5,7}:{(211,1),(212,1),(213,1),(228,1),(308,1),(319,1),(320,1),(418,1)}
       266:{1,3,5}:{(212,1),(214,1),(229,1),(309,1),(321,1)}
       267:{1,3,4,7}:{(213,1),(214,1),(216,1),(230,1),(310,1),(320,1),(322,1)}
       268:{2,4,6}:{(214,1),(215,1),(217,1),(321,1),(322,1),(323,1),(417,1)}
       269:{1,4}:{(215,1),(218,1)}
       270:{2,3,7}:{(216,1),(217,1),(322,1),(325,1),(347,1),(475,1)}
       271:{1,3,6}:{(217,1),(218,1),(323,1),(325,1),(326,1)}
       272:{1,2,5}:{(218,1),(241,1),(324,1),(326,1),(403,1)}
       273:{3,5,7}:{(219,1),(220,1),(221,1),(328,1)}
       274:{4,5,6}:{(220,1),(226,1),(328,1),(331,1)}
       275:{2,5,6,7}:{(221,1),(227,1),(313,1),(327,1),(329,1),(542,1)}
       276:{2,4,5,7}:{(221,1),(222,1),(223,1),(314,1),(328,1),(329,1),(330,1),(414,1),(518,1),(542,1),(551,1)}
       277:{3,5,6}:{(222,1),(224,1),(229,1),(330,1),(334,1),(519,1)}
       278:{3,4,7}:{(223,1),(224,1),(330,1),(551,1)}
       279:{3,5,6}:{(225,1),(227,1),(331,1),(334,1)}
       280:{4,5,7}:{(225,1),(226,1),(234,1),(331,1),(551,1),(552,1)}
       281:{3,4,5}:{(226,1),(229,1),(235,1),(333,1),(524,1)}
       282:{2,4,6}:{(227,1),(228,1),(319,1),(331,1),(334,1),(417,1)}
       283:{3,5,7}:{(228,1),(229,1),(230,1),(334,1)}
       284:{2,3,5}:{(229,1),(231,1),(321,1),(333,1),(336,1),(546,1)}
       285:{2,3,4,7}:{(230,1),(231,1),(239,1),(322,1),(335,1),(337,1),(342,1),(483,1),(526,1)}
       286:{1,3,4,6}:{(231,1),(232,1),(240,1),(323,1),(336,1),(337,1),(338,1),(343,1),(421,1),(426,1),(433,1),(487,1),(491,1),(527,1),(529,1)}
       287:{2,4}:{(232,1),(241,1),(339,1)}
       288:{4,6,7}:{(233,1),(234,1),(331,1),(340,1)}
       289:{3,4,7}:{(234,1),(235,1),(237,1),(342,1)}
       290:{2,4,6}:{(235,1),(238,1),(333,1),(342,1),(343,1)}
       291:{3,6,7}:{(236,1),(237,1),(334,1)}
       292:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(342,1),(344,1),(345,1),(430,1)}
       293:{1,3,5,6}:{(238,1),(240,1),(244,1),(336,1),(343,1),(345,1),(346,1),(426,1),(433,1),(488,1),(528,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,6}:{(240,1),(241,1),(347,1)}
       296:{2,6,7}:{(242,1),(243,1),(348,1),(417,1)}
       297:{1,5,7}:{(243,1),(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(247,1),(349,1),(354,1)}
       299:{3,5,6}:{(246,1),(248,1),(253,1),(349,1),(350,1)}
       300:{2,5,7}:{(247,1),(248,1),(259,1),(349,1)}
       301:{2,4,5,6}:{(248,1),(250,1),(255,1),(260,1),(350,1),(352,1),(353,1),(360,1),(368,1),(437,1),(443,1),(502,1)}
       302:{2,4,7}:{(249,1),(250,1),(261,1),(354,1)}
       303:{3,6}:{(250,1),(251,1),(354,1)}
       304:{2,3,5}:{(251,1),(258,1),(263,1),(355,1),(356,1),(505,1)}
       305:{3,5,7}:{(252,1),(253,1),(254,1),(357,1),(358,1),(541,1)}
       306:{4,5}:{(253,1),(350,1)}
       307:{2,5,6}:{(254,1),(264,1),(357,1),(360,1)}
       308:{2,4,5,7}:{(254,1),(255,1),(256,1),(265,1),(358,1),(360,1),(361,1),(372,1)}
       309:{3,5}:{(255,1),(257,1)}
       310:{3,4,7}:{(256,1),(257,1),(354,1),(361,1),(467,1)}
       311:{2,3,4,6}:{(257,1),(258,1),(268,1),(355,1),(362,1),(363,1),(364,1),(388,1),(437,1),(447,1),(464,1),(514,1)}
       312:{1,3,4}:{(258,1),(269,1),(356,1),(365,1),(376,1)}
       313:{1,5,6,7}:{(259,1),(264,1),(275,1),(351,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(261,1),(276,1),(352,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(262,1),(266,1),(277,1),(353,1),(367,1),(368,1),(371,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(278,1),(354,1),(367,1),(369,1),(436,1),(441,1),(498,1),(534,1)}
       317:{2,4,6}:{(262,1),(263,1),(355,1),(368,1),(369,1),(370,1),(442,1)}
       318:{1,4,5}:{(263,1),(269,1),(356,1),(370,1),(373,1)}
       319:{1,4,6}:{(264,1),(265,1),(282,1),(360,1),(371,1),(454,1)}
       320:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(361,1),(371,1),(372,1)}
       321:{2,5}:{(266,1),(268,1),(373,1)}
       322:{2,4,7}:{(267,1),(268,1),(270,1),(372,1),(374,1)}
       323:{1,4,6}:{(268,1),(269,1),(271,1),(373,1),(374,1),(454,1)}
       324:{1,2,4}:{(269,1),(272,1),(287,1),(365,1),(376,1)}
       325:{1,3,7}:{(270,1),(271,1),(374,1),(377,1)}
       326:{1,2,6}:{(271,1),(272,1),(295,1),(377,1),(442,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(279,1),(378,1),(379,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(282,1),(366,1),(378,1),(379,1),(452,1)}
       330:{3,5,7}:{(276,1),(277,1),(278,1),(379,1),(534,1)}
       331:{4,6}:{(279,1),(280,1)}
       332:{3,4,5,7}:{(280,1),(281,1),(283,1),(289,1),(381,1),(382,1),(389,1),(537,1),(550,1)}
       333:{2,4,5}:{(281,1),(284,1),(290,1),(383,1),(508,1)}
       334:{3,6}:{(282,1),(283,1)}
       335:{2,3,5,7}:{(283,1),(284,1),(285,1),(372,1),(382,1),(384,1),(385,1)}
       336:{1,3,5}:{(284,1),(286,1),(373,1),(383,1),(386,1),(461,1),(539,1),(541,1)}
       337:{1,3,4,7}:{(285,1),(286,1),(294,1),(374,1),(385,1),(387,1),(391,1),(457,1),(467,1),(510,1),(513,1)}
       338:{2,4,6}:{(286,1),(287,1),(295,1),(386,1),(387,1),(388,1),(462,1),(464,1)}
       339:{2,3}:{(287,1),(376,1)}
       340:{4,5,7}:{(288,1),(380,1),(389,1)}
       341:{3,4,6,7}:{(288,1),(289,1),(291,1),(381,1),(389,1),(390,1)}
       342:{2,4,7}:{(289,1),(290,1),(292,1),(391,1)}
       343:{1,4,6}:{(290,1),(293,1),(383,1),(391,1),(392,1),(540,1)}
       344:{2,3,6,7}:{(291,1),(292,1),(296,1),(384,1),(390,1),(393,1)}
       345:{1,3,5,7}:{(292,1),(293,1),(294,1),(297,1),(391,1),(393,1),(394,1),(465,1),(467,1),(515,1)}
       346:{2,5,6}:{(293,1),(295,1),(386,1),(392,1),(394,1),(462,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{1,6,7}:{(296,1),(297,1),(454,1)}
       349:{3,5,7}:{(298,1),(299,1),(300,1),(396,1)}
       350:{4,6}:{(299,1),(306,1),(396,1)}
       351:{2,5,6,7}:{(300,1),(307,1),(313,1),(395,1),(398,1),(516,1)}
       352:{2,4,5,7}:{(300,1),(301,1),(302,1),(314,1),(396,1),(398,1),(399,1),(414,1),(468,1),(470,1),(516,1)}
       353:{3,5,6}:{(301,1),(303,1),(309,1),(397,1),(399,1),(407,1)}
       354:{3,7}:{(302,1),(303,1)}
       355:{2,3,6}:{(303,1),(304,1),(317,1),(401,1),(402,1),(519,1)}
       356:{1,3,5}:{(304,1),(312,1),(318,1),(402,1),(403,1)}
       357:{3,5,6}:{(305,1),(307,1),(404,1),(407,1)}
       358:{4,5,7}:{(305,1),(306,1),(396,1),(404,1),(531,1),(547,1)}
       359:{3,4,5}:{(306,1),(309,1),(397,1),(406,1),(491,1)}
       360:{2,4,6}:{(307,1),(308,1),(319,1),(404,1),(407,1),(417,1)}
       361:{3,5,7}:{(308,1),(309,1),(310,1),(407,1)}
       362:{2,3,5}:{(309,1),(311,1),(321,1),(406,1),(409,1),(530,1)}
       363:{2,3,4,7}:{(310,1),(311,1),(322,1),(401,1),(408,1),(410,1),(429,1),(470,1),(493,1)}
       364:{1,3,4,6}:{(311,1),(312,1),(323,1),(402,1),(409,1),(410,1),(411,1),(421,1),(471,1),(480,1),(487,1),(519,1),(524,1),(527,1),(545,1)}
       365:{2,4}:{(312,1),(403,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(319,1),(329,1),(398,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(316,1),(330,1),(399,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(317,1),(321,1),(414,1),(415,1),(417,1)}
       369:{2,4,7}:{(316,1),(317,1),(401,1),(414,1),(416,1),(475,1)}
       370:{1,4,6}:{(317,1),(318,1),(402,1),(415,1),(416,1)}
       371:{1,3,6}:{(319,1),(320,1),(334,1),(407,1),(417,1)}
       372:{2,5,7}:{(320,1),(321,1),(322,1),(417,1),(418,1)}
       373:{1,5}:{(321,1),(323,1)}
       374:{1,4,7}:{(322,1),(323,1),(325,1),(418,1)}
       375:{1,2,4,6}:{(323,1),(324,1),(326,1),(338,1),(411,1),(419,1),(420,1),(421,1),(485,1),(487,1),(527,1)}
       376:{1,3}:{(324,1),(339,1),(412,1)}
       377:{1,2,7}:{(325,1),(326,1),(347,1),(475,1)}
       378:{4,6,7}:{(327,1),(328,1),(331,1),(551,1)}
       379:{3,6,7}:{(329,1),(330,1),(334,1)}
       380:{4,5,6}:{(331,1),(340,1),(422,1),(552,1)}
       381:{3,4,6}:{(331,1),(332,1),(334,1),(422,1),(423,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(335,1),(342,1),(423,1),(424,1),(430,1),(526,1),(546,1)}
       383:{1,4,5}:{(333,1),(336,1),(343,1),(425,1),(487,1),(547,1)}
       384:{2,3,6}:{(334,1),(335,1),(417,1),(423,1),(426,1)}
       385:{1,3,5,7}:{(335,1),(336,1),(337,1),(418,1),(424,1),(426,1),(427,1),(490,1)}
       386:{2,5}:{(336,1),(338,1)}
       387:{2,4,7}:{(337,1),(338,1),(347,1),(427,1),(429,1)}
       388:{2,3,6}:{(338,1),(339,1),(421,1),(428,1),(429,1),(433,1)}
       389:{3,5,7}:{(340,1),(341,1),(422,1),(430,1)}
       390:{2,4,6,7}:{(341,1),(342,1),(344,1),(423,1),(430,1),(431,1)}
       391:{1,4,7}:{(342,1),(343,1),(345,1),(432,1),(531,1)}
       392:{2,4,6}:{(343,1),(346,1),(425,1),(432,1),(433,1)}
       393:{1,3,6,7}:{(344,1),(345,1),(348,1),(426,1),(431,1),(434,1),(495,1)}
       394:{2,5,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(357,1),(435,1),(438,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(359,1),(436,1),(437,1)}
       398:{2,4,6,7}:{(351,1),(352,1),(360,1),(366,1),(435,1),(438,1),(452,1)}
       399:{3,5,7}:{(352,1),(353,1),(354,1),(436,1),(438,1)}
       400:{2,3,5,6}:{(353,1),(355,1),(362,1),(368,1),(437,1),(439,1),(440,1),(447,1),(502,1)}
       401:{2,3,7}:{(354,1),(355,1),(369,1),(441,1),(534,1)}
       402:{1,3,6}:{(355,1),(356,1),(370,1),(441,1),(442,1)}
       403:{2,5}:{(356,1),(365,1),(442,1)}
       404:{4,6}:{(357,1),(358,1)}
       405:{3,4,5,7}:{(358,1),(359,1),(361,1),(436,1),(444,1),(445,1),(496,1),(513,1),(541,1)}
       406:{2,4,5}:{(359,1),(362,1),(437,1),(446,1),(464,1)}
       407:{3,6}:{(360,1),(361,1)}
       408:{2,3,5,7}:{(361,1),(362,1),(363,1),(372,1),(445,1),(447,1),(448,1)}
       409:{1,3,5}:{(362,1),(364,1),(373,1),(446,1),(449,1),(505,1),(539,1),(550,1)}
       410:{1,3,4,7}:{(363,1),(364,1),(374,1),(441,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       411:{2,4,6}:{(364,1),(365,1),(442,1),(449,1),(450,1),(451,1),(506,1),(508,1)}
       412:{2,3}:{(365,1),(376,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(379,1),(438,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(369,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(370,1),(373,1),(453,1),(454,1)}
       416:{1,4,7}:{(369,1),(370,1),(441,1),(453,1)}
       417:{2,6}:{(371,1),(372,1),(454,1)}
       418:{1,5,7}:{(372,1),(373,1),(374,1),(454,1)}
       419:{1,2,5}:{(373,1),(375,1),(386,1),(449,1),(456,1),(539,1)}
       420:{1,2,4,7}:{(374,1),(375,1),(377,1),(387,1),(450,1),(455,1),(457,1),(510,1)}
       421:{1,3,6}:{(375,1),(376,1),(388,1),(451,1),(456,1),(457,1)}
       422:{3,5,6}:{(380,1),(381,1),(389,1),(458,1),(550,1)}
       423:{2,4,6}:{(381,1),(382,1),(384,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(382,1),(383,1),(385,1),(391,1),(459,1),(460,1),(465,1),(510,1),(539,1)}
       425:{2,4,5}:{(383,1),(386,1),(392,1),(461,1),(464,1)}
       426:{1,3,6}:{(384,1),(385,1),(454,1),(459,1),(462,1),(512,1)}
       427:{2,5,7}:{(385,1),(386,1),(387,1),(462,1)}
       428:{2,3,5}:{(386,1),(388,1),(456,1),(461,1),(464,1)}
       429:{2,3,7}:{(387,1),(388,1),(457,1),(467,1)}
       430:{2,5,7}:{(389,1),(390,1),(458,1),(465,1)}
       431:{1,4,6,7}:{(390,1),(391,1),(393,1),(459,1),(465,1),(466,1)}
       432:{2,4,7}:{(391,1),(392,1),(394,1),(467,1)}
       433:{3,6}:{(392,1),(461,1),(467,1)}
       434:{2,6,7}:{(393,1),(394,1),(462,1)}
       435:{4,6,7}:{(395,1),(396,1),(404,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(399,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(406,1),(470,1),(471,1)}
       438:{3,6,7}:{(398,1),(399,1),(407,1)}
       439:{2,3,5,7}:{(399,1),(400,1),(401,1),(414,1),(470,1),(472,1),(473,1),(516,1)}
       440:{1,3,5,6}:{(400,1),(402,1),(409,1),(415,1),(471,1),(473,1),(474,1),(480,1),(519,1),(521,1),(544,1)}
       441:{1,3,7}:{(401,1),(402,1),(416,1),(475,1)}
       442:{2,6}:{(402,1),(403,1),(475,1)}
       443:{4,5,6}:{(404,1),(468,1),(476,1),(547,1)}
       444:{3,4,6}:{(404,1),(405,1),(407,1),(476,1),(477,1)}
       445:{2,4,5,7}:{(405,1),(406,1),(408,1),(470,1),(477,1),(478,1),(493,1),(516,1),(530,1)}
       446:{1,4,5}:{(406,1),(409,1),(471,1),(479,1),(487,1),(552,1)}
       447:{2,3,6}:{(407,1),(408,1),(417,1),(477,1),(480,1)}
       448:{1,3,5,7}:{(408,1),(409,1),(410,1),(418,1),(478,1),(480,1),(481,1),(523,1)}
       449:{2,5}:{(409,1),(411,1)}
       450:{2,4,7}:{(410,1),(411,1),(475,1),(481,1),(483,1)}
       451:{2,3,6}:{(411,1),(412,1),(421,1),(482,1),(483,1),(519,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(416,1),(484,1)}
       454:{1,6}:{(417,1),(418,1)}
       455:{1,2,5,7}:{(418,1),(419,1),(420,1),(427,1),(481,1),(485,1),(486,1)}
       456:{1,3,5}:{(419,1),(421,1),(428,1),(482,1),(487,1)}
       457:{1,3,7}:{(420,1),(421,1),(429,1),(483,1)}
       458:{2,5,6}:{(422,1),(423,1),(430,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(426,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(427,1),(432,1),(489,1),(490,1),(493,1),(494,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(433,1),(491,1)}
       462:{2,6}:{(426,1),(427,1)}
       463:{2,3,5,7}:{(427,1),(428,1),(429,1),(486,1),(490,1),(492,1),(493,1),(530,1)}
       464:{2,4}:{(428,1),(487,1),(491,1)}
       465:{1,5,7}:{(430,1),(431,1),(488,1),(494,1)}
       466:{2,4,6,7}:{(431,1),(432,1),(434,1),(489,1),(494,1),(495,1),(531,1)}
       467:{3,7}:{(432,1),(433,1)}
       468:{4,5,7}:{(435,1),(443,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(438,1),(444,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(439,1),(498,1)}
       471:{1,4,6}:{(437,1),(440,1),(446,1),(498,1),(499,1),(549,1)}
       472:{2,3,6,7}:{(438,1),(439,1),(447,1),(452,1),(497,1),(500,1)}
       473:{1,3,5,7}:{(439,1),(440,1),(441,1),(453,1),(498,1),(500,1),(501,1),(532,1),(534,1),(548,1)}
       474:{2,5,6}:{(440,1),(442,1),(449,1),(499,1),(501,1),(506,1)}
       475:{2,7}:{(441,1),(442,1)}
       476:{3,5,6}:{(443,1),(444,1),(496,1),(502,1),(541,1)}
       477:{2,4,6}:{(444,1),(445,1),(447,1),(502,1),(503,1)}
       478:{1,4,5,7}:{(445,1),(446,1),(448,1),(498,1),(503,1),(504,1),(510,1),(532,1),(539,1)}
       479:{2,4,5}:{(446,1),(449,1),(499,1),(505,1),(508,1)}
       480:{1,3,6}:{(447,1),(448,1),(454,1),(503,1),(506,1),(536,1)}
       481:{2,5,7}:{(448,1),(449,1),(450,1),(506,1)}
       482:{2,3,5}:{(449,1),(451,1),(456,1),(505,1),(508,1)}
       483:{2,3,7}:{(450,1),(451,1),(457,1),(534,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(462,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(463,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(464,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(465,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(462,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(467,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(464,1)}
       492:{2,3,6}:{(462,1),(463,1),(509,1),(512,1),(514,1)}
       493:{2,4,7}:{(463,1),(464,1),(510,1),(513,1),(514,1)}
       494:{2,5,7}:{(465,1),(466,1),(511,1),(515,1)}
       495:{3,6,7}:{(466,1),(467,1),(512,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(476,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(472,1),(477,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(473,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(474,1),(479,1),(518,1),(519,1)}
       500:{1,3,6,7}:{(472,1),(473,1),(480,1),(484,1),(517,1),(520,1),(543,1)}
       501:{2,5,7}:{(473,1),(474,1),(475,1),(518,1),(520,1)}
       502:{2,5,6}:{(476,1),(477,1),(516,1),(521,1),(530,1)}
       503:{1,4,6}:{(477,1),(478,1),(480,1),(521,1),(522,1)}
       504:{2,4,5,7}:{(478,1),(479,1),(481,1),(518,1),(522,1),(523,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       505:{3,5}:{(479,1),(519,1),(524,1)}
       506:{2,6}:{(480,1),(481,1)}
       507:{2,3,5,7}:{(481,1),(482,1),(483,1),(486,1),(523,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(482,1),(487,1),(524,1)}
       509:{1,3,6}:{(485,1),(486,1),(492,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(493,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(494,1),(528,1),(530,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(493,1),(529,1),(531,1)}
       514:{2,4,6}:{(492,1),(493,1),(527,1),(529,1),(530,1)}
       515:{3,5,7}:{(494,1),(495,1),(528,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(500,1),(503,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(501,1),(534,1)}
       519:{3,6}:{(499,1),(505,1),(534,1)}
       520:{2,6,7}:{(500,1),(501,1),(506,1)}
       521:{1,5,6}:{(502,1),(503,1),(532,1),(535,1),(539,1)}
       522:{2,4,6}:{(503,1),(504,1),(506,1),(535,1),(536,1),(549,1)}
       523:{3,5,7}:{(504,1),(505,1),(534,1),(536,1),(537,1),(550,1)}
       524:{3,4}:{(505,1),(508,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(514,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(515,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(514,1),(540,1),(541,1)}
       530:{2,5}:{(514,1),(539,1),(541,1)}
       531:{4,7}:{(515,1),(540,1)}
       532:{1,5,7}:{(516,1),(517,1),(521,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(520,1),(522,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(521,1),(522,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(522,1),(523,1)}
       537:{3,4,7}:{(523,1),(524,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(530,1),(546,1)}
       540:{4,6}:{(528,1),(531,1),(547,1)}
       541:{3,5}:{(529,1),(530,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 435 :   0:{2,3,4}:{(2,1),(3,1),(30,1),(62,1)}
         1:{3,4,5}:{(4,1),(5,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1)}
         3:{1,3,4}:{(0,1),(6,1),(8,1),(19,1),(47,1),(51,1)}
         4:{2,4,5}:{(1,1),(2,1),(10,1),(11,1),(62,1),(101,1)}
         5:{3,4,6}:{(1,1),(11,1),(12,1),(13,1)}
         6:{1,3,5}:{(2,1),(3,1),(10,1),(14,1),(15,1),(34,1)}
         7:{2,3,6}:{(2,1),(11,1),(15,1),(16,1)}
         8:{2,4}:{(3,1),(14,1),(17,1)}
         9:{1,2,4}:{(8,1),(18,1),(19,1),(46,1),(47,1)}
        10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(47,1),(86,1)}
        11:{2,4,6}:{(4,1),(5,1),(7,1),(21,1),(22,1),(23,1)}
        12:{3,5,6}:{(5,1),(22,1),(24,1),(25,1),(116,1),(143,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1)}
        14:{2,5}:{(6,1),(8,1),(27,1)}
        15:{1,3,6}:{(6,1),(7,1),(21,1),(27,1),(28,1),(52,1)}
        16:{2,3,7}:{(7,1),(23,1),(28,1)}
        17:{2,3}:{(8,1),(19,1)}
        18:{1,2,5}:{(9,1),(14,1),(31,1),(32,1),(64,1)}
        19:{1,3}:{(9,1),(17,1),(30,1)}
        20:{2,4,5}:{(10,1),(14,1),(34,1),(35,1),(41,1),(77,1),(109,1)}
        21:{1,4,6}:{(10,1),(11,1),(15,1),(35,1),(36,1),(37,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1),(101,1),(134,1)}
        23:{2,4,7}:{(11,1),(13,1),(16,1),(37,1),(38,1)}
        24:{4,5,6}:{(12,1),(39,1),(131,1),(149,1)}
        25:{3,5,7}:{(12,1),(13,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(17,1),(31,1),(34,1),(41,1),(42,1),(77,1)}
        27:{2,6}:{(14,1),(15,1),(43,1)}
        28:{1,3,7}:{(15,1),(16,1),(37,1),(43,1),(72,1)}
        29:{2,3,4}:{(17,1),(33,1),(41,1),(44,1)}
        30:{2,3}:{(19,1),(46,1)}
        31:{1,3,5}:{(18,1),(19,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        32:{1,2,6}:{(18,1),(27,1),(48,1),(49,1),(84,1)}
        33:{1,3,4}:{(19,1),(29,1),(46,1),(47,1),(50,1),(80,1)}
        34:{3,5}:{(20,1),(51,1),(52,1)}
        35:{2,4,6}:{(20,1),(21,1),(27,1),(52,1),(53,1),(54,1),(92,1)}
        36:{1,5,6}:{(21,1),(22,1),(53,1),(55,1),(86,1),(122,1)}
        37:{1,4,7}:{(21,1),(23,1),(28,1),(54,1),(55,1)}
        38:{2,5,7}:{(22,1),(23,1),(25,1),(55,1),(56,1)}
        39:{4,5,7}:{(24,1),(25,1),(57,1)}
        40:{3,6,7}:{(25,1),(56,1),(57,1),(143,1)}
        41:{2,4}:{(26,1),(47,1),(51,1)}
        42:{2,3,6}:{(26,1),(27,1),(48,1),(52,1),(59,1),(60,1)}
        43:{2,7}:{(27,1),(28,1)}
        44:{2,3,5}:{(29,1),(50,1),(58,1),(61,1)}
        45:{2,3,5}:{(30,1),(31,1),(62,1),(63,1),(64,1),(98,1),(101,1)}
        46:{2,4}:{(30,1),(33,1),(64,1)}
        47:{1,4}:{(31,1),(41,1),(62,1)}
        48:{1,3,6}:{(31,1),(32,1),(42,1),(63,1),(66,1),(67,1)}
        49:{1,2,7}:{(32,1),(43,1),(67,1),(103,1)}
        50:{1,3,5}:{(33,1),(44,1),(64,1),(65,1),(68,1),(98,1)}
        51:{3,4}:{(34,1),(41,1)}
        52:{3,6}:{(34,1),(35,1),(72,1)}
        53:{2,5,6}:{(35,1),(36,1),(71,1),(73,1),(77,1),(114,1)}
        54:{2,4,7}:{(35,1),(37,1),(43,1),(72,1),(73,1),(111,1)}
        55:{1,5,7}:{(36,1),(37,1),(38,1),(73,1),(74,1)}
        56:{2,6,7}:{(38,1),(40,1),(74,1),(134,1)}
        57:{4,6,7}:{(39,1),(40,1),(75,1),(149,1)}
        58:{2,4,5}:{(41,1),(44,1),(65,1),(69,1),(76,1),(77,1)}
        59:{2,4,6}:{(41,1),(42,1),(66,1),(70,1),(77,1),(78,1),(114,1)}
        60:{2,3,7}:{(42,1),(43,1),(67,1),(72,1),(78,1)}
        61:{2,3,6}:{(44,1),(68,1),(76,1),(79,1)}
        62:{2,4}:{(45,1),(47,1),(80,1)}
        63:{2,3,6}:{(45,1),(48,1),(82,1),(83,1),(84,1),(115,1)}
        64:{2,5}:{(46,1),(50,1),(84,1)}
        65:{1,4,5}:{(47,1),(50,1),(58,1),(81,1),(85,1),(86,1)}
        66:{1,4,6}:{(47,1),(48,1),(59,1),(82,1),(86,1),(87,1),(122,1)}
        67:{1,3,7}:{(48,1),(49,1),(60,1),(83,1),(87,1)}
        68:{1,3,6}:{(50,1),(61,1),(84,1),(85,1),(88,1),(115,1)}
        69:{3,4,5}:{(51,1),(58,1),(89,1),(90,1)}
        70:{3,4,6}:{(51,1),(52,1),(59,1),(90,1),(91,1),(92,1),(126,1)}
        71:{3,5,6}:{(52,1),(53,1),(90,1),(92,1),(93,1),(126,1),(146,1)}
        72:{3,7}:{(52,1),(54,1)}
        73:{2,5,7}:{(53,1),(54,1),(55,1),(93,1),(94,1)}
        74:{1,6,7}:{(55,1),(56,1),(94,1),(122,1)}
        75:{5,6,7}:{(57,1),(152,1)}
        76:{2,4,6}:{(58,1),(61,1),(85,1),(89,1),(95,1),(96,1)}
        77:{2,5}:{(59,1),(86,1),(90,1)}
        78:{2,4,7}:{(59,1),(60,1),(87,1),(91,1),(97,1)}
        79:{2,3,7}:{(61,1),(88,1),(96,1)}
        80:{3,4}:{(62,1),(98,1)}
        81:{2,4,5}:{(62,1),(64,1),(65,1),(98,1),(100,1),(101,1),(131,1)}
        82:{2,4,6}:{(62,1),(63,1),(66,1),(99,1),(101,1),(102,1),(134,1)}
        83:{2,3,7}:{(63,1),(67,1),(102,1),(103,1),(130,1)}
        84:{2,6}:{(64,1),(68,1),(103,1)}
        85:{1,4,6}:{(65,1),(68,1),(76,1),(100,1),(104,1),(105,1)}
        86:{1,5}:{(66,1),(77,1),(101,1)}
        87:{1,4,7}:{(66,1),(67,1),(78,1),(102,1),(106,1)}
        88:{1,3,7}:{(68,1),(79,1),(103,1),(105,1),(130,1)}
        89:{3,4,6}:{(69,1),(76,1),(107,1),(108,1)}
        90:{3,5}:{(70,1),(77,1),(109,1)}
        91:{3,4,7}:{(70,1),(72,1),(78,1),(110,1),(111,1)}
        92:{4,6}:{(71,1),(109,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(111,1),(112,1),(139,1)}
        94:{2,6,7}:{(73,1),(74,1),(112,1),(114,1)}
        95:{2,5,6}:{(76,1),(77,1),(104,1),(107,1),(113,1),(114,1)}
        96:{2,4,7}:{(76,1),(79,1),(105,1),(108,1),(113,1)}
        97:{2,5,7}:{(77,1),(78,1),(106,1),(110,1),(114,1)}
        98:{3,5}:{(80,1),(81,1),(115,1)}
        99:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
       100:{2,4,6}:{(81,1),(84,1),(85,1),(115,1),(118,1),(119,1),(140,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(87,1),(117,1),(120,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(86,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,4,7}:{(85,1),(88,1),(96,1),(119,1),(121,1)}
       106:{1,5,7}:{(86,1),(87,1),(97,1),(120,1),(122,1)}
       107:{3,5,6}:{(89,1),(90,1),(95,1),(123,1),(124,1),(126,1)}
       108:{3,4,7}:{(89,1),(96,1),(124,1)}
       109:{4,5}:{(90,1),(92,1)}
       110:{3,5,7}:{(90,1),(91,1),(97,1),(125,1),(126,1)}
       111:{4,7}:{(92,1),(93,1)}
       112:{3,6,7}:{(93,1),(94,1),(126,1),(127,1)}
       113:{2,5,7}:{(95,1),(96,1),(121,1),(124,1),(128,1)}
       114:{2,6}:{(97,1),(122,1),(126,1)}
       115:{3,6}:{(98,1),(100,1),(130,1)}
       116:{3,5}:{(99,1),(101,1),(131,1)}
       117:{3,4,7}:{(99,1),(102,1),(130,1),(132,1),(147,1)}
       118:{2,5,6}:{(100,1),(101,1),(104,1),(129,1),(133,1),(134,1)}
       119:{2,4,7}:{(100,1),(103,1),(105,1),(130,1),(133,1),(147,1)}
       120:{2,5,7}:{(101,1),(102,1),(106,1),(132,1),(134,1)}
       121:{1,5,7}:{(104,1),(105,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(106,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(109,1),(136,1),(138,1)}
       124:{3,5,7}:{(107,1),(108,1),(113,1),(136,1),(137,1)}
       125:{4,5,7}:{(109,1),(110,1),(111,1),(138,1),(139,1)}
       126:{3,6}:{(110,1),(114,1),(138,1)}
       127:{4,6,7}:{(111,1),(112,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(137,1)}
       129:{3,5,6}:{(115,1),(116,1),(118,1),(140,1),(141,1),(143,1),(152,1)}
       130:{3,7}:{(115,1),(119,1)}
       131:{4,5}:{(116,1),(140,1)}
       132:{3,5,7}:{(116,1),(117,1),(120,1),(142,1),(143,1)}
       133:{2,5,7}:{(118,1),(119,1),(121,1),(141,1),(144,1)}
       134:{2,6}:{(120,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(124,1),(145,1)}
       137:{3,6,7}:{(124,1),(126,1),(128,1),(145,1)}
       138:{4,6}:{(125,1),(126,1),(146,1)}
       139:{5,7}:{(127,1),(146,1)}
       140:{4,6}:{(129,1),(131,1),(147,1)}
       141:{3,5,7}:{(129,1),(130,1),(133,1),(147,1),(148,1),(153,1)}
       142:{4,5,7}:{(131,1),(132,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(132,1),(134,1),(149,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(148,1)}
       145:{4,6,7}:{(136,1),(137,1),(138,1),(150,1)}
       146:{5,6}:{(138,1),(139,1)}
       147:{4,7}:{(140,1),(141,1)}
       148:{3,6,7}:{(141,1),(143,1),(144,1),(151,1)}
       149:{4,6}:{(142,1),(143,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 436 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 437 :   0:{3,4,5}:{(1,1),(2,1),(92,1),(125,1)}
         1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(75,1),(112,1)}
         2:{3,4,6}:{(0,1),(6,1),(7,1),(8,1)}
         3:{2,3,4}:{(4,1),(9,1),(56,1),(75,1)}
         4:{2,3,5}:{(1,1),(3,1),(10,1),(11,1)}
         5:{1,4,5}:{(1,1),(10,1),(12,1),(13,1),(60,1),(97,1)}
         6:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1)}
         7:{3,5,6}:{(2,1),(14,1),(16,1),(17,1),(125,1),(146,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1)}
         9:{1,3,4}:{(3,1),(10,1),(18,1),(35,1),(42,1),(60,1)}
        10:{1,3,5}:{(4,1),(5,1),(9,1),(19,1),(20,1),(22,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1),(23,1),(46,1),(81,1),(85,1)}
        13:{1,4,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(7,1),(24,1),(26,1),(112,1),(140,1)}
        15:{2,4,7}:{(6,1),(8,1),(21,1),(25,1),(26,1)}
        16:{4,5,6}:{(7,1),(27,1),(137,1),(150,1)}
        17:{3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1)}
        18:{2,4}:{(9,1),(19,1),(30,1)}
        19:{2,5}:{(10,1),(18,1),(33,1)}
        20:{1,3,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(36,1)}
        21:{2,3,7}:{(11,1),(15,1),(34,1)}
        22:{3,5}:{(12,1),(35,1),(36,1)}
        23:{2,4,6}:{(12,1),(13,1),(33,1),(36,1),(37,1),(38,1),(69,1)}
        24:{1,5,6}:{(13,1),(14,1),(37,1),(39,1),(97,1),(131,1)}
        25:{1,4,7}:{(13,1),(15,1),(34,1),(38,1),(39,1)}
        26:{2,5,7}:{(14,1),(15,1),(17,1),(39,1),(40,1)}
        27:{4,5,7}:{(16,1),(17,1),(41,1)}
        28:{3,6,7}:{(17,1),(40,1),(41,1),(146,1)}
        29:{1,2,4}:{(18,1),(31,1),(42,1),(60,1),(72,1)}
        30:{2,3}:{(18,1),(42,1)}
        31:{1,2,5}:{(19,1),(29,1),(44,1),(45,1),(89,1)}
        32:{2,3,5}:{(19,1),(22,1),(30,1),(44,1),(46,1),(47,1),(81,1)}
        33:{2,6}:{(19,1),(20,1),(48,1)}
        34:{1,3,7}:{(20,1),(21,1),(25,1),(48,1),(52,1)}
        35:{3,4}:{(22,1),(46,1)}
        36:{3,6}:{(22,1),(23,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1),(81,1),(118,1)}
        38:{2,4,7}:{(23,1),(25,1),(48,1),(52,1),(53,1),(87,1)}
        39:{1,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        40:{2,6,7}:{(26,1),(28,1),(54,1),(140,1)}
        41:{4,6,7}:{(27,1),(28,1),(55,1),(150,1)}
        42:{1,3}:{(29,1),(30,1),(56,1)}
        43:{2,3,4}:{(30,1),(46,1),(57,1),(58,1)}
        44:{1,3,5}:{(31,1),(32,1),(42,1),(59,1),(60,1),(61,1),(97,1)}
        45:{1,2,6}:{(31,1),(33,1),(61,1),(62,1),(107,1)}
        46:{2,4}:{(32,1),(35,1),(60,1)}
        47:{2,3,6}:{(32,1),(33,1),(36,1),(61,1),(64,1),(65,1)}
        48:{2,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1),(66,1),(67,1)}
        50:{3,4,6}:{(35,1),(36,1),(64,1),(67,1),(68,1),(69,1),(105,1)}
        51:{3,5,6}:{(36,1),(37,1),(67,1),(69,1),(70,1),(105,1),(134,1)}
        52:{3,7}:{(36,1),(38,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(70,1),(71,1)}
        54:{1,6,7}:{(39,1),(40,1),(71,1),(131,1)}
        55:{5,6,7}:{(41,1),(152,1)}
        56:{2,3}:{(42,1),(72,1)}
        57:{1,3,4}:{(42,1),(43,1),(60,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(43,1),(63,1),(73,1),(74,1)}
        59:{2,3,5}:{(44,1),(56,1),(75,1),(76,1),(89,1),(109,1),(112,1)}
        60:{1,4}:{(44,1),(46,1),(75,1)}
        61:{1,3,6}:{(44,1),(45,1),(47,1),(76,1),(78,1),(79,1)}
        62:{1,2,7}:{(45,1),(48,1),(79,1),(123,1)}
        63:{2,4,5}:{(46,1),(49,1),(58,1),(77,1),(80,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(78,1),(81,1),(82,1),(118,1)}
        65:{2,3,7}:{(47,1),(48,1),(52,1),(79,1),(82,1)}
        66:{3,4,6}:{(49,1),(80,1),(83,1),(84,1)}
        67:{3,5}:{(50,1),(81,1),(85,1)}
        68:{3,4,7}:{(50,1),(52,1),(82,1),(86,1),(87,1)}
        69:{4,6}:{(51,1),(85,1),(87,1)}
        70:{3,5,7}:{(51,1),(52,1),(53,1),(87,1),(88,1),(122,1)}
        71:{2,6,7}:{(53,1),(54,1),(88,1),(118,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(77,1),(89,1),(90,1),(109,1)}
        74:{2,3,6}:{(58,1),(80,1),(90,1),(91,1)}
        75:{2,4}:{(59,1),(60,1),(92,1)}
        76:{2,3,6}:{(59,1),(61,1),(94,1),(95,1),(107,1),(124,1)}
        77:{1,4,5}:{(60,1),(63,1),(73,1),(93,1),(96,1),(97,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(94,1),(97,1),(98,1),(131,1)}
        79:{1,3,7}:{(61,1),(62,1),(65,1),(95,1),(98,1)}
        80:{2,4,6}:{(63,1),(66,1),(74,1),(96,1),(99,1),(100,1)}
        81:{2,5}:{(64,1),(67,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(98,1),(101,1)}
        83:{3,5,6}:{(66,1),(67,1),(99,1),(102,1),(103,1),(105,1)}
        84:{3,4,7}:{(66,1),(100,1),(103,1)}
        85:{4,5}:{(67,1),(69,1)}
        86:{3,5,7}:{(67,1),(68,1),(101,1),(104,1),(105,1)}
        87:{4,7}:{(69,1),(70,1)}
        88:{3,6,7}:{(70,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(96,1),(107,1),(108,1),(124,1)}
        91:{2,3,7}:{(74,1),(100,1),(108,1)}
        92:{3,4}:{(75,1),(109,1)}
        93:{2,4,5}:{(75,1),(77,1),(89,1),(109,1),(111,1),(112,1),(137,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(110,1),(112,1),(113,1),(140,1)}
        95:{2,3,7}:{(76,1),(79,1),(113,1),(123,1),(136,1)}
        96:{1,4,6}:{(77,1),(80,1),(90,1),(111,1),(114,1),(115,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,7}:{(78,1),(79,1),(82,1),(113,1),(116,1)}
        99:{2,5,6}:{(80,1),(81,1),(83,1),(114,1),(117,1),(118,1)}
       100:{2,4,7}:{(80,1),(84,1),(91,1),(115,1),(117,1)}
       101:{2,5,7}:{(81,1),(82,1),(86,1),(116,1),(118,1)}
       102:{4,5,6}:{(83,1),(85,1),(119,1),(121,1)}
       103:{3,5,7}:{(83,1),(84,1),(117,1),(119,1),(120,1)}
       104:{4,5,7}:{(85,1),(86,1),(87,1),(121,1),(122,1)}
       105:{3,6}:{(86,1),(118,1),(121,1)}
       106:{4,6,7}:{(87,1),(88,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(115,1),(123,1),(136,1)}
       109:{3,5}:{(92,1),(93,1),(124,1)}
       110:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       111:{2,4,6}:{(93,1),(96,1),(107,1),(124,1),(127,1),(128,1),(143,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,7}:{(94,1),(95,1),(98,1),(126,1),(129,1)}
       114:{1,5,6}:{(96,1),(97,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,4,7}:{(96,1),(100,1),(108,1),(128,1),(130,1)}
       116:{1,5,7}:{(97,1),(98,1),(101,1),(129,1),(131,1)}
       117:{2,5,7}:{(99,1),(100,1),(103,1),(130,1),(132,1)}
       118:{2,6}:{(101,1),(105,1),(131,1)}
       119:{4,5,7}:{(102,1),(103,1),(133,1)}
       120:{3,6,7}:{(103,1),(105,1),(132,1),(133,1)}
       121:{4,6}:{(104,1),(105,1),(134,1)}
       122:{5,7}:{(106,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,6}:{(109,1),(111,1),(136,1)}
       125:{3,5}:{(110,1),(112,1),(137,1)}
       126:{3,4,7}:{(110,1),(113,1),(136,1),(138,1),(148,1)}
       127:{2,5,6}:{(111,1),(112,1),(114,1),(135,1),(139,1),(140,1)}
       128:{2,4,7}:{(111,1),(115,1),(123,1),(136,1),(139,1),(148,1)}
       129:{2,5,7}:{(112,1),(113,1),(116,1),(138,1),(140,1)}
       130:{1,5,7}:{(114,1),(115,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(116,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(120,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(121,1),(142,1)}
       134:{5,6}:{(121,1),(122,1)}
       135:{3,5,6}:{(124,1),(125,1),(127,1),(143,1),(144,1),(146,1),(152,1)}
       136:{3,7}:{(124,1),(128,1)}
       137:{4,5}:{(125,1),(143,1)}
       138:{3,5,7}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       139:{2,5,7}:{(127,1),(128,1),(130,1),(144,1),(147,1)}
       140:{2,6}:{(129,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(137,1),(148,1)}
       144:{3,5,7}:{(135,1),(136,1),(139,1),(148,1),(149,1),(153,1)}
       145:{4,5,7}:{(137,1),(138,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(150,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(149,1)}
       148:{4,7}:{(143,1),(144,1)}
       149:{3,6,7}:{(144,1),(146,1),(147,1),(151,1)}
       150:{4,6}:{(145,1),(146,1),(152,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 438 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 439 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 440 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 441 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 442 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(34,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(54,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(55,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(34,1),(38,1),(46,1),(77,1),(83,1),(101,1),(108,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(74,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(53,1),(54,1),(64,1),(84,1),(93,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(115,1),(119,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(23,1),(24,1),(55,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(93,1),(115,1),(119,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(34,1),(42,1),(65,1),(68,1),(81,1),(83,1),(103,1),(104,1),(105,1),(108,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(34,1),(35,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(35,1),(36,1),(74,1)}
        22:{2,4,6,7}:{(12,1),(33,1),(37,1),(38,1),(72,1),(77,1),(108,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(34,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(35,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(50,1),(61,1),(86,1),(100,1),(119,1)}
        32:{2,4,6}:{(19,1),(21,1),(50,1),(51,1),(55,1),(90,1)}
        33:{1,4,6,7}:{(21,1),(22,1),(48,1),(52,1),(53,1),(91,1),(93,1),(118,1)}
        34:{2,5,7}:{(20,1),(27,1),(54,1),(55,1),(63,1),(123,1),(132,1)}
        35:{1,3,6}:{(20,1),(21,1),(23,1),(50,1),(55,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(53,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(119,1)}
        38:{2,5,7}:{(22,1),(24,1),(53,1),(57,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(119,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(54,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(55,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(105,1),(113,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(67,1),(68,1),(72,1),(105,1),(108,1)}
        49:{2,3,5,7}:{(31,1),(34,1),(40,1),(65,1),(69,1),(70,1),(80,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(68,1),(71,1),(103,1)}
        52:{1,3,6,7}:{(33,1),(35,1),(37,1),(67,1),(72,1),(73,1),(126,1)}
        53:{1,5,7}:{(33,1),(36,1),(38,1),(68,1)}
        54:{1,5,7}:{(34,1),(43,1),(74,1),(82,1),(130,1),(137,1)}
        55:{2,6}:{(34,1),(35,1),(74,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(39,1),(45,1),(71,1),(73,1),(75,1),(76,1),(110,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(39,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(74,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(119,1)}
        68:{2,5,7}:{(48,1),(51,1),(53,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(54,1),(59,1),(84,1),(88,1),(89,1),(97,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(55,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(61,1),(86,1),(87,1),(90,1)}
        72:{2,6,7}:{(52,1),(55,1),(91,1),(92,1),(132,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(56,1),(57,1),(87,1),(92,1),(93,1),(119,1)}
        74:{1,6}:{(54,1),(55,1)}
        75:{2,5,6}:{(55,1),(56,1),(63,1),(92,1),(94,1),(95,1)}
        76:{1,4,6}:{(56,1),(58,1),(64,1),(90,1),(93,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(78,1),(101,1),(106,1),(111,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(74,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(81,1),(104,1),(105,1)}
        91:{1,6,7}:{(72,1),(74,1),(107,1),(137,1)}
        92:{2,5,7}:{(72,1),(73,1),(75,1),(107,1),(108,1)}
        93:{1,4,7}:{(73,1),(76,1),(77,1),(105,1),(108,1),(137,1)}
        94:{1,5,6}:{(74,1),(75,1),(82,1),(107,1),(109,1)}
        95:{2,4,6}:{(75,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{1,5,7}:{(91,1),(92,1),(94,1),(118,1)}
       108:{2,4,7}:{(92,1),(93,1),(95,1),(118,1),(119,1),(132,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(118,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(119,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{3,7}:{(108,1),(110,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(126,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 443 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(31,1),(39,1),(41,1),(78,1),(90,1),(181,1),(185,1),(283,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(131,1),(237,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(53,1),(116,1),(214,1)}
         3:{1,3,4}:{(1,1),(9,1),(283,1),(287,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(78,1),(91,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(266,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(84,1),(104,1),(163,1),(181,1),(286,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(85,1),(164,1),(267,1)}
         8:{1,3,4,5}:{(3,1),(16,1),(17,1),(21,1),(50,1),(121,1),(136,1),(138,1),(221,1),(237,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(116,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(231,1),(248,1),(253,1),(331,1),(343,1),(392,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(317,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(126,1),(215,1),(344,1)}
        16:{2,4,5}:{(8,1),(9,1),(30,1),(31,1),(32,1),(39,1),(78,1),(161,1),(262,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(79,1),(165,1),(167,1),(266,1)}
        18:{2,3,4}:{(9,1),(30,1),(35,1),(91,1),(161,1),(287,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(78,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(163,1),(183,1),(196,1),(199,1),(200,1),(201,1),(266,1),(289,1),(300,1),(371,1),(373,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(164,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(283,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(176,1),(268,1),(286,1)}
        30:{2,3,5}:{(16,1),(18,1),(50,1),(51,1),(237,1)}
        31:{1,4,5}:{(16,1),(19,1),(50,1),(53,1),(64,1),(207,1),(304,1)}
        32:{2,4,6}:{(16,1),(17,1),(51,1),(53,1),(54,1),(55,1),(116,1)}
        33:{1,3,5,6}:{(17,1),(21,1),(54,1),(56,1),(57,1),(69,1),(127,1),(221,1),(324,1)}
        34:{1,3,4,7}:{(17,1),(55,1),(57,1),(118,1),(217,1),(219,1),(317,1)}
        35:{1,3,4}:{(18,1),(19,1),(50,1),(58,1),(62,1),(131,1),(207,1)}
        36:{2,3,4,6}:{(18,1),(20,1),(51,1),(59,1),(60,1),(61,1),(74,1),(119,1),(133,1),(140,1),(154,1),(211,1),(235,1),(313,1),(316,1),(333,1),(335,1),(378,1)}
        37:{1,2,4}:{(19,1),(23,1),(58,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(392,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(116,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(235,1),(396,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(215,1),(249,1),(254,1),(317,1),(389,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(331,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(35,1),(78,1),(79,1)}
        51:{2,3,6}:{(30,1),(32,1),(79,1),(81,1),(266,1)}
        52:{1,2,4,5}:{(31,1),(37,1),(78,1),(82,1),(83,1),(98,1),(161,1),(185,1),(192,1),(262,1),(274,1)}
        53:{1,4,6}:{(31,1),(32,1),(79,1),(84,1),(85,1)}
        54:{2,5,6}:{(32,1),(33,1),(39,1),(84,1),(87,1),(104,1),(262,1),(354,1)}
        55:{2,4,7}:{(32,1),(34,1),(81,1),(85,1),(87,1),(164,1)}
        56:{1,4,5,6}:{(33,1),(41,1),(86,1),(88,1),(105,1),(165,1),(274,1),(278,1),(294,1),(363,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(87,1),(88,1),(89,1),(177,1)}
        58:{2,4}:{(35,1),(78,1),(91,1)}
        59:{1,3,4,6}:{(35,1),(36,1),(38,1),(79,1),(92,1),(93,1),(94,1),(97,1),(165,1),(180,1),(189,1),(192,1),(203,1),(257,1),(266,1),(283,1),(287,1),(297,1),(357,1),(367,1),(369,1),(370,1),(401,1)}
        60:{2,3,5}:{(36,1),(39,1),(93,1),(95,1),(102,1),(196,1),(262,1),(352,1),(371,1),(398,1)}
        61:{2,3,4,7}:{(36,1),(40,1),(81,1),(94,1),(96,1),(111,1),(168,1),(184,1),(204,1),(263,1),(288,1),(355,1),(358,1),(402,1)}
        62:{1,3}:{(37,1),(91,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(92,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(411,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(371,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(163,1),(195,1),(196,1),(278,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(164,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(266,1),(287,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(410,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(268,1),(289,1),(300,1),(359,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(367,1)}
        78:{2,5}:{(50,1),(58,1),(116,1)}
        79:{1,3,6}:{(50,1),(51,1),(53,1),(116,1),(118,1)}
        80:{2,3,5,6}:{(51,1),(54,1),(60,1),(117,1),(119,1),(120,1),(127,1),(140,1),(226,1),(243,1),(316,1)}
        81:{2,3,7}:{(51,1),(55,1),(118,1),(317,1)}
        82:{1,3,5}:{(52,1),(62,1),(115,1),(121,1),(122,1),(237,1)}
        83:{1,2,4,6}:{(52,1),(53,1),(116,1),(122,1),(123,1),(124,1),(211,1),(214,1),(223,1)}
        84:{1,5,6}:{(53,1),(54,1),(64,1),(126,1),(147,1),(304,1),(377,1)}
        85:{1,4,7}:{(53,1),(55,1),(118,1),(126,1)}
        86:{2,4,5,6}:{(54,1),(56,1),(66,1),(119,1),(125,1),(127,1),(128,1),(149,1),(214,1),(226,1),(243,1),(311,1),(338,1),(339,1),(384,1),(396,1)}
        87:{2,5,7}:{(54,1),(55,1),(57,1),(126,1),(129,1)}
        88:{1,4,5,7}:{(56,1),(57,1),(128,1),(130,1),(217,1),(321,1),(326,1)}
        89:{1,3,6,7}:{(57,1),(69,1),(129,1),(130,1),(229,1),(324,1)}
        90:{1,2,4}:{(58,1),(114,1),(131,1),(207,1)}
        91:{2,3}:{(58,1),(62,1),(131,1)}
        92:{2,4,6}:{(58,1),(59,1),(116,1),(133,1),(134,1),(135,1),(235,1),(239,1),(387,1),(394,1)}
        93:{1,3,5}:{(59,1),(60,1),(64,1),(134,1),(136,1),(237,1),(248,1),(304,1),(341,1),(392,1),(395,1),(414,1)}
        94:{1,3,4,7}:{(59,1),(61,1),(65,1),(118,1),(135,1),(137,1),(142,1),(217,1),(232,1),(245,1),(255,1),(305,1),(317,1),(330,1),(334,1),(388,1),(418,1)}
        95:{2,4,5}:{(60,1),(119,1),(136,1),(138,1),(235,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(67,1),(137,1),(139,1),(140,1),(148,1),(249,1),(312,1),(383,1),(415,1)}
        97:{1,3,6}:{(62,1),(63,1),(133,1),(141,1),(142,1),(422,1)}
        98:{1,2,5}:{(63,1),(64,1),(134,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(135,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(214,1),(319,1),(387,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(215,1),(249,1),(326,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(317,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(335,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(392,1)}
       114:{1,2,5}:{(78,1),(90,1),(159,1),(160,1)}
       115:{2,3,5}:{(78,1),(82,1),(91,1),(159,1),(161,1),(162,1),(262,1)}
       116:{2,6}:{(78,1),(79,1),(164,1)}
       117:{1,3,5,6}:{(79,1),(80,1),(84,1),(93,1),(163,1),(165,1),(166,1),(189,1),(266,1),(278,1),(294,1),(357,1),(373,1)}
       118:{1,3,7}:{(79,1),(81,1),(85,1),(164,1)}
       119:{2,4,6}:{(80,1),(95,1),(165,1),(167,1),(168,1)}
       120:{2,3,5,7}:{(80,1),(81,1),(87,1),(166,1),(168,1),(169,1),(177,1),(273,1),(279,1),(358,1)}
       121:{1,3,4}:{(82,1),(161,1),(192,1),(287,1)}
       122:{1,3,6}:{(82,1),(83,1),(162,1),(172,1),(266,1)}
       123:{1,2,5,6}:{(83,1),(84,1),(98,1),(163,1),(171,1),(173,1),(195,1),(262,1),(354,1),(404,1)}
       124:{1,2,4,7}:{(83,1),(85,1),(164,1),(172,1),(173,1),(263,1),(267,1),(276,1)}
       125:{1,4,5,6}:{(84,1),(86,1),(100,1),(165,1),(174,1),(175,1),(198,1),(294,1),(345,1),(400,1)}
       126:{1,5,7}:{(84,1),(85,1),(87,1),(176,1)}
       127:{3,5,6}:{(86,1),(102,1),(167,1),(177,1),(199,1),(266,1),(352,1),(406,1)}
       128:{2,4,5,7}:{(86,1),(87,1),(88,1),(168,1),(175,1),(177,1),(178,1),(267,1),(273,1),(279,1),(360,1),(362,1),(410,1)}
       129:{2,6,7}:{(87,1),(89,1),(104,1),(176,1),(354,1)}
       130:{1,4,6,7}:{(88,1),(89,1),(105,1),(178,1),(179,1),(363,1),(365,1)}
       131:{1,3}:{(90,1),(91,1)}
       132:{1,2,4,6}:{(90,1),(92,1),(160,1),(180,1),(181,1),(182,1),(203,1),(257,1),(283,1),(286,1),(302,1),(367,1),(374,1)}
       133:{2,3,6}:{(91,1),(92,1),(97,1),(180,1),(183,1),(184,1),(266,1),(412,1)}
       134:{2,5}:{(92,1),(93,1)}
       135:{2,4,7}:{(92,1),(94,1),(164,1),(184,1),(186,1),(409,1)}
       136:{1,4,5}:{(93,1),(95,1),(165,1),(185,1),(192,1),(283,1),(413,1)}
       137:{1,3,5,7}:{(93,1),(94,1),(96,1),(101,1),(186,1),(188,1),(189,1),(291,1),(299,1),(346,1),(423,1)}
       138:{3,4,5}:{(95,1),(102,1),(167,1),(287,1),(352,1),(413,1)}
       139:{2,4,5,7}:{(95,1),(96,1),(168,1),(188,1),(190,1),(191,1),(273,1),(288,1),(371,1)}
       140:{2,3,6}:{(96,1),(104,1),(189,1),(191,1),(199,1),(300,1),(354,1),(406,1),(424,1)}
       141:{1,3,5}:{(97,1),(98,1),(183,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(184,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(185,1),(192,1),(194,1),(196,1),(293,1),(296,1),(372,1),(411,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(186,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(266,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(267,1),(361,1),(409,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(268,1),(300,1),(365,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(359,1),(370,1),(410,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(371,1)}
       159:{1,3,5}:{(114,1),(115,1),(131,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(116,1),(208,1),(210,1)}
       161:{2,4}:{(115,1),(121,1),(207,1)}
       162:{2,3,6}:{(115,1),(116,1),(122,1),(208,1),(211,1),(213,1)}
       163:{2,5,6}:{(116,1),(117,1),(134,1),(214,1),(215,1),(239,1),(387,1)}
       164:{2,7}:{(116,1),(118,1)}
       165:{1,4,6}:{(117,1),(119,1),(136,1),(214,1),(217,1),(396,1)}
       166:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(215,1),(217,1),(218,1),(317,1),(321,1),(326,1),(388,1),(389,1)}
       167:{3,4,6}:{(119,1),(127,1),(138,1),(219,1),(396,1)}
       168:{2,4,7}:{(119,1),(120,1),(217,1),(219,1)}
       169:{2,3,6,7}:{(120,1),(129,1),(140,1),(218,1),(220,1),(229,1),(327,1)}
       170:{1,3,4,6}:{(121,1),(122,1),(211,1),(221,1),(222,1),(223,1),(313,1),(324,1)}
       171:{1,3,5,6}:{(122,1),(123,1),(141,1),(212,1),(221,1),(223,1),(224,1),(246,1),(324,1),(341,1),(381,1),(390,1),(414,1),(426,1)}
       172:{1,3,7}:{(122,1),(124,1),(213,1),(317,1)}
       173:{1,2,5,7}:{(123,1),(124,1),(126,1),(215,1),(224,1),(225,1),(312,1),(419,1)}
       174:{1,3,5,6}:{(125,1),(127,1),(145,1),(216,1),(226,1),(227,1),(250,1),(375,1),(416,1)}
       175:{1,4,5,7}:{(125,1),(126,1),(128,1),(217,1),(227,1),(228,1),(321,1)}
       176:{1,6,7}:{(126,1),(129,1),(147,1),(377,1)}
       177:{3,5,7}:{(127,1),(128,1),(219,1),(229,1),(317,1)}
       178:{2,4,6,7}:{(128,1),(129,1),(130,1),(149,1),(228,1),(229,1),(230,1),(327,1),(328,1),(384,1)}
       179:{1,5,6,7}:{(130,1),(150,1),(230,1),(321,1),(390,1)}
       180:{1,3,6}:{(131,1),(132,1),(133,1),(231,1),(232,1),(397,1)}
       181:{1,2,5}:{(132,1),(134,1),(231,1),(248,1),(304,1),(392,1)}
       182:{1,2,4,7}:{(132,1),(135,1),(210,1),(232,1),(234,1),(255,1),(305,1),(330,1),(344,1)}
       183:{2,3,5}:{(133,1),(134,1),(141,1),(231,1),(235,1),(237,1)}
       184:{2,3,7}:{(133,1),(135,1),(142,1),(232,1),(317,1)}
       185:{2,4,5}:{(134,1),(136,1),(214,1),(235,1),(237,1)}
       186:{2,5,7}:{(134,1),(135,1),(137,1),(239,1)}
       187:{1,3,4,5}:{(136,1),(138,1),(145,1),(216,1),(237,1),(240,1),(244,1),(329,1),(336,1),(375,1)}
       188:{1,4,5,7}:{(136,1),(137,1),(139,1),(217,1),(238,1),(241,1),(245,1),(321,1),(330,1),(341,1),(392,1)}
       189:{1,3,6}:{(137,1),(140,1),(147,1),(239,1),(241,1),(337,1),(343,1),(377,1),(426,1)}
       190:{3,4,5,7}:{(138,1),(139,1),(148,1),(219,1),(242,1),(256,1),(322,1),(334,1),(383,1),(395,1),(421,1)}
       191:{2,4,6}:{(139,1),(140,1),(241,1),(242,1),(243,1)}
       192:{1,4}:{(141,1),(235,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(236,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(237,1),(244,1),(247,1),(422,1)}
       195:{1,2,6}:{(144,1),(147,1),(239,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(387,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(317,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(395,1)}
       207:{1,4}:{(159,1),(161,1)}
       208:{1,3,6}:{(159,1),(160,1),(162,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(163,1),(181,1),(258,1),(260,1),(261,1),(278,1),(286,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(164,1),(259,1)}
       211:{2,4,6}:{(161,1),(162,1),(170,1),(257,1),(262,1),(263,1),(354,1)}
       212:{2,3,5,6}:{(162,1),(163,1),(171,1),(183,1),(258,1),(262,1),(264,1),(265,1),(266,1),(289,1),(350,1),(352,1),(354,1),(371,1),(373,1),(398,1),(406,1),(407,1),(424,1)}
       213:{2,3,7}:{(162,1),(164,1),(172,1),(259,1),(263,1)}
       214:{2,4,6}:{(163,1),(165,1),(185,1),(266,1),(267,1)}
       215:{2,5,7}:{(163,1),(164,1),(166,1),(267,1),(268,1),(409,1)}
       216:{1,3,4,6}:{(165,1),(167,1),(174,1),(187,1),(266,1),(269,1),(270,1),(357,1)}
       217:{1,4,7}:{(165,1),(166,1),(168,1),(267,1),(410,1)}
       218:{1,3,6,7}:{(166,1),(169,1),(176,1),(189,1),(268,1),(271,1),(359,1),(365,1)}
       219:{3,4,7}:{(167,1),(168,1),(177,1),(410,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(191,1),(271,1),(272,1),(273,1)}
       221:{1,3,5}:{(170,1),(262,1),(274,1),(352,1)}
       222:{1,3,4,7}:{(170,1),(172,1),(263,1),(275,1),(276,1),(355,1)}
       223:{1,4,6}:{(171,1),(192,1),(264,1),(274,1),(276,1)}
       224:{1,3,5,7}:{(171,1),(172,1),(173,1),(265,1),(276,1),(277,1),(364,1),(405,1),(423,1)}
       225:{1,2,6,7}:{(173,1),(176,1),(195,1),(268,1),(277,1),(354,1)}
       226:{2,5,6}:{(174,1),(196,1),(269,1),(278,1),(279,1),(300,1),(398,1),(424,1)}
       227:{1,3,5,7}:{(174,1),(175,1),(177,1),(270,1),(279,1),(280,1)}
       228:{1,4,6,7}:{(175,1),(176,1),(178,1),(198,1),(280,1),(281,1),(400,1)}
       229:{3,6,7}:{(177,1),(178,1),(199,1),(406,1)}
       230:{2,5,6,7}:{(178,1),(179,1),(200,1),(273,1),(281,1),(282,1),(360,1),(407,1)}
       231:{1,3,5}:{(180,1),(181,1),(183,1),(283,1)}
       232:{1,3,7}:{(180,1),(182,1),(184,1)}
       233:{1,2,4,5}:{(181,1),(185,1),(260,1),(283,1),(285,1),(293,1),(345,1),(366,1),(372,1),(374,1),(398,1)}
       234:{1,2,5,7}:{(181,1),(182,1),(186,1),(284,1),(286,1),(299,1),(346,1)}
       235:{2,4}:{(183,1),(192,1),(283,1),(287,1)}
       236:{2,3,5,7}:{(183,1),(184,1),(186,1),(193,1),(284,1),(288,1),(289,1),(291,1),(371,1)}
       237:{3,5}:{(185,1),(266,1),(287,1)}
       238:{2,4,5,7}:{(185,1),(186,1),(188,1),(267,1),(288,1),(291,1),(292,1),(360,1),(371,1),(410,1),(413,1)}
       239:{2,6}:{(186,1),(189,1)}
       240:{2,4,5}:{(187,1),(196,1),(269,1),(290,1),(293,1),(296,1),(366,1),(372,1),(398,1)}
       241:{1,4,6}:{(188,1),(189,1),(191,1),(292,1),(294,1)}
       242:{3,4,6}:{(190,1),(191,1),(199,1),(295,1),(301,1),(406,1),(425,1)}
       243:{2,5,6}:{(191,1),(273,1),(294,1),(295,1),(371,1)}
       244:{1,3,4}:{(192,1),(194,1),(287,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(288,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(289,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(372,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(409,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(410,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(211,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(212,1),(231,1),(304,1),(306,1),(307,1),(308,1),(331,1),(375,1),(377,1),(392,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(213,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(214,1),(233,1),(306,1),(308,1),(309,1),(319,1),(378,1),(387,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(215,1),(307,1),(309,1),(310,1),(326,1),(415,1)}
       262:{2,5}:{(211,1),(221,1),(304,1)}
       263:{2,4,7}:{(211,1),(213,1),(222,1),(305,1),(312,1)}
       264:{2,4,6}:{(212,1),(223,1),(235,1),(306,1),(311,1),(313,1),(314,1),(396,1)}
       265:{2,3,5,7}:{(212,1),(213,1),(215,1),(224,1),(307,1),(312,1),(314,1),(315,1),(317,1),(382,1),(383,1),(386,1),(389,1),(415,1)}
       266:{3,6}:{(214,1),(237,1),(317,1)}
       267:{2,4,7}:{(214,1),(215,1),(217,1),(317,1)}
       268:{2,6,7}:{(215,1),(218,1),(239,1)}
       269:{2,4,6}:{(216,1),(226,1),(240,1),(316,1),(319,1),(320,1),(387,1)}
       270:{1,3,4,7}:{(216,1),(217,1),(219,1),(227,1),(317,1),(320,1),(388,1)}
       271:{1,4,6,7}:{(217,1),(218,1),(220,1),(241,1),(318,1),(321,1)}
       272:{3,4,6,7}:{(219,1),(220,1),(229,1),(242,1),(322,1),(328,1)}
       273:{2,5,7}:{(220,1),(243,1),(321,1),(322,1)}
       274:{1,4,5}:{(221,1),(223,1),(311,1),(341,1),(414,1)}
       275:{1,3,5,7}:{(221,1),(222,1),(312,1),(323,1),(324,1),(383,1)}
       276:{1,4,7}:{(223,1),(224,1),(314,1)}
       277:{1,3,6,7}:{(224,1),(225,1),(246,1),(315,1),(324,1),(325,1),(426,1)}
       278:{1,5,6}:{(226,1),(248,1),(319,1),(326,1),(343,1),(414,1),(426,1)}
       279:{2,5,7}:{(226,1),(227,1),(320,1),(326,1),(327,1)}
       280:{1,3,6,7}:{(227,1),(228,1),(229,1),(250,1),(327,1),(416,1)}
       281:{1,5,6,7}:{(228,1),(230,1),(251,1),(321,1),(417,1)}
       282:{3,5,6,7}:{(229,1),(230,1),(252,1),(322,1),(328,1),(389,1),(420,1)}
       283:{1,4}:{(231,1),(235,1)}
       284:{1,3,5,7}:{(231,1),(232,1),(234,1),(236,1),(330,1),(331,1),(392,1)}
       285:{1,3,5}:{(233,1),(237,1),(308,1),(329,1),(332,1),(397,1)}
       286:{1,2,6}:{(234,1),(239,1),(331,1),(343,1),(377,1)}
       287:{3,4}:{(235,1),(237,1)}
       288:{2,4,7}:{(235,1),(236,1),(245,1),(330,1),(334,1),(335,1)}
       289:{2,3,6}:{(236,1),(239,1),(246,1),(331,1),(335,1),(337,1)}
       290:{2,3,5}:{(237,1),(240,1),(316,1),(333,1),(336,1)}
       291:{3,5,7}:{(237,1),(238,1),(317,1),(334,1),(337,1),(395,1)}
       292:{2,4,6}:{(238,1),(239,1),(241,1),(337,1),(338,1),(396,1)}
       293:{1,4,5}:{(240,1),(248,1),(319,1),(336,1),(340,1),(391,1),(414,1)}
       294:{1,5,6}:{(241,1),(243,1),(321,1),(338,1),(341,1),(392,1)}
       295:{3,5,6}:{(242,1),(243,1),(322,1),(339,1),(395,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(335,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(387,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(262,1)}
       305:{1,4,7}:{(257,1),(259,1),(263,1),(346,1)}
       306:{1,4,6}:{(258,1),(264,1),(283,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(265,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(266,1),(285,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(267,1),(348,1),(351,1),(361,1),(402,1),(409,1)}
       310:{1,2,6,7}:{(261,1),(268,1),(286,1),(349,1),(365,1),(424,1)}
       311:{2,4,5}:{(262,1),(264,1),(274,1),(345,1),(352,1),(371,1),(398,1),(413,1)}
       312:{2,5,7}:{(262,1),(263,1),(275,1),(346,1),(354,1)}
       313:{3,4,6}:{(264,1),(266,1),(287,1),(352,1),(355,1),(406,1)}
       314:{2,4,7}:{(264,1),(265,1),(276,1),(348,1),(355,1),(410,1)}
       315:{2,3,6,7}:{(265,1),(268,1),(277,1),(289,1),(349,1),(354,1),(356,1),(359,1),(406,1),(424,1)}
       316:{2,3,6}:{(266,1),(269,1),(290,1),(357,1),(358,1)}
       317:{3,7}:{(266,1),(267,1)}
       318:{2,4,6,7}:{(267,1),(268,1),(271,1),(292,1),(359,1),(360,1),(410,1)}
       319:{1,4,6}:{(269,1),(278,1),(293,1),(357,1),(361,1)}
       320:{2,4,7}:{(269,1),(270,1),(279,1),(358,1),(361,1),(409,1)}
       321:{1,5,7}:{(271,1),(273,1),(294,1),(360,1)}
       322:{3,5,7}:{(272,1),(273,1),(295,1),(362,1)}
       323:{1,4,5,7}:{(274,1),(275,1),(276,1),(353,1),(363,1),(364,1),(423,1)}
       324:{1,3,6}:{(275,1),(354,1),(363,1),(406,1)}
       325:{1,4,6,7}:{(276,1),(277,1),(297,1),(356,1),(363,1),(364,1)}
       326:{1,5,7}:{(278,1),(279,1),(361,1),(365,1)}
       327:{2,6,7}:{(279,1),(280,1),(300,1),(365,1),(424,1)}
       328:{4,6,7}:{(282,1),(301,1),(362,1),(410,1),(425,1)}
       329:{1,3,4}:{(283,1),(285,1),(287,1),(366,1)}
       330:{1,4,7}:{(283,1),(284,1),(288,1),(367,1)}
       331:{1,3,6}:{(284,1),(286,1),(289,1),(367,1)}
       332:{2,3,5}:{(285,1),(350,1),(366,1),(368,1),(372,1),(398,1),(412,1)}
       333:{2,3,4}:{(287,1),(290,1),(296,1),(366,1),(369,1),(412,1)}
       334:{3,4,7}:{(287,1),(288,1),(291,1),(370,1),(410,1)}
       335:{2,4,6}:{(288,1),(289,1),(297,1),(367,1),(370,1),(371,1)}
       336:{1,3,5}:{(290,1),(293,1),(357,1),(369,1),(372,1)}
       337:{3,6}:{(291,1),(292,1)}
       338:{2,5,6}:{(292,1),(294,1),(360,1),(371,1),(373,1)}
       339:{4,5,6}:{(295,1),(301,1),(362,1),(413,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(371,1)}
       342:{1,2,5}:{(298,1),(302,1),(372,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(409,1)}
       345:{1,4,5}:{(304,1),(306,1),(311,1),(375,1),(392,1)}
       346:{1,5,7}:{(304,1),(305,1),(312,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(313,1),(329,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(314,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(315,1),(331,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(332,1),(378,1),(381,1),(382,1),(387,1)}
       351:{1,3,7}:{(308,1),(309,1),(317,1),(382,1)}
       352:{3,5}:{(311,1),(313,1)}
       353:{2,4,5,7}:{(311,1),(312,1),(314,1),(323,1),(376,1),(383,1),(384,1),(386,1),(415,1),(421,1)}
       354:{2,6}:{(312,1),(324,1),(377,1)}
       355:{3,4,7}:{(313,1),(314,1),(317,1),(383,1)}
       356:{2,4,6,7}:{(314,1),(315,1),(325,1),(335,1),(380,1),(384,1),(385,1),(386,1)}
       357:{1,3,6}:{(316,1),(319,1),(336,1),(387,1),(388,1)}
       358:{2,3,7}:{(316,1),(317,1),(320,1),(388,1)}
       359:{3,6,7}:{(317,1),(318,1),(337,1),(389,1)}
       360:{2,5,7}:{(318,1),(321,1),(338,1),(389,1)}
       361:{1,4,7}:{(319,1),(320,1),(326,1),(388,1)}
       362:{4,5,7}:{(322,1),(328,1),(339,1)}
       363:{1,4,6}:{(323,1),(324,1),(384,1),(390,1),(426,1)}
       364:{1,5,7}:{(325,1),(341,1),(386,1),(390,1)}
       365:{1,6,7}:{(326,1),(327,1),(343,1),(426,1)}
       366:{2,4}:{(329,1),(332,1),(391,1)}
       367:{1,4,6}:{(330,1),(331,1),(335,1),(392,1)}
       368:{1,3,5}:{(332,1),(381,1),(391,1),(393,1),(414,1),(422,1)}
       369:{1,3,4}:{(333,1),(336,1),(340,1),(391,1),(394,1),(397,1),(422,1)}
       370:{3,4,6}:{(334,1),(335,1),(337,1),(395,1),(396,1)}
       371:{2,5}:{(335,1),(341,1),(392,1),(395,1)}
       372:{2,5}:{(336,1),(387,1),(394,1)}
       373:{3,5,6}:{(337,1),(338,1),(389,1),(395,1),(396,1)}
       374:{1,2,4}:{(340,1),(342,1),(394,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(352,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(353,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(354,1)}
       378:{2,4,6}:{(347,1),(350,1),(366,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(355,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(356,1),(367,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(368,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(409,1)}
       383:{3,5,7}:{(352,1),(353,1),(355,1),(406,1)}
       384:{2,4,6}:{(353,1),(354,1),(363,1),(400,1),(406,1),(407,1),(424,1),(425,1)}
       385:{3,4,6,7}:{(355,1),(356,1),(359,1),(370,1),(406,1),(408,1),(410,1),(425,1)}
       386:{2,5,7}:{(356,1),(364,1),(371,1),(403,1),(407,1),(408,1)}
       387:{2,6}:{(357,1),(372,1),(409,1)}
       388:{1,3,7}:{(357,1),(358,1),(361,1),(409,1)}
       389:{3,5,7}:{(359,1),(360,1),(373,1),(410,1)}
       390:{1,5,6}:{(363,1),(364,1),(407,1)}
       391:{1,4}:{(366,1),(368,1)}
       392:{1,5}:{(367,1),(371,1)}
       393:{1,2,5}:{(368,1),(372,1),(404,1),(411,1)}
       394:{2,4}:{(369,1),(372,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(413,1)}
       396:{4,6}:{(373,1),(410,1),(413,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(383,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(384,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(391,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(386,1),(392,1),(417,1)}
       404:{1,2,6}:{(381,1),(387,1),(393,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{3,6}:{(383,1),(384,1)}
       407:{2,5,6}:{(384,1),(386,1),(390,1),(417,1),(420,1)}
       408:{3,5,7}:{(385,1),(386,1),(395,1),(420,1),(421,1)}
       409:{2,7}:{(387,1),(388,1)}
       410:{4,7}:{(389,1),(396,1)}
       411:{1,2,4}:{(391,1),(393,1),(394,1),(422,1)}
       412:{2,3}:{(394,1),(397,1),(422,1)}
       413:{4,5}:{(395,1),(396,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(406,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(407,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(409,1)}
       420:{3,5,6}:{(406,1),(407,1),(408,1),(425,1)}
       421:{4,5,7}:{(408,1),(410,1),(413,1),(425,1)}
       422:{1,3}:{(411,1),(412,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 444 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 445 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(66,1),(74,1),(145,1),(151,1),(153,1),(161,1),(223,1),(247,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(25,1),(28,1),(66,1),(84,1),(85,1),(153,1),(223,1),(231,1),(304,1),(317,1),(373,1),(374,1)}
         2:{1,3,5,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(11,1),(38,1),(45,1),(104,1),(106,1),(107,1),(198,1),(200,1),(291,1),(358,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(40,1),(191,1),(204,1),(264,1),(280,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(105,1),(113,1),(194,1),(209,1),(269,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(277,1),(393,1)}
         6:{2,3,5,7}:{(1,1),(9,1),(16,1),(17,1),(46,1),(51,1),(56,1),(105,1),(269,1),(339,1),(389,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(25,1),(58,1),(66,1),(138,1),(139,1),(153,1),(161,1),(169,1),(250,1),(263,1),(336,1),(337,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(20,1),(22,1),(245,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(6,1),(19,1),(22,1),(23,1),(26,1),(71,1),(75,1),(152,1)}
        10:{1,2,4,5}:{(3,1),(20,1),(24,1),(66,1),(72,1),(150,1),(151,1),(165,1),(227,1),(243,1),(245,1),(248,1)}
        11:{1,3,6}:{(3,1),(24,1),(25,1),(26,1),(250,1),(304,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(22,1),(26,1),(70,1),(239,1),(251,1),(305,1),(320,1)}
        13:{1,2,6,7}:{(4,1),(23,1),(153,1),(242,1),(247,1),(257,1),(311,1)}
        14:{2,4,5}:{(5,1),(20,1),(28,1),(66,1),(374,1),(405,1)}
        15:{3,4,6}:{(5,1),(28,1),(31,1),(84,1),(304,1),(312,1)}
        16:{2,4,7}:{(5,1),(6,1),(22,1),(31,1),(403,1)}
        17:{2,3,6,7}:{(6,1),(23,1),(32,1),(84,1),(153,1),(311,1),(317,1),(368,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(35,1),(217,1),(365,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(35,1),(36,1),(46,1),(93,1),(98,1),(105,1),(209,1),(294,1),(361,1)}
        20:{1,4,5}:{(8,1),(14,1),(33,1),(38,1),(104,1),(358,1)}
        21:{1,3,4,6}:{(8,1),(11,1),(15,1),(34,1),(38,1),(40,1),(41,1),(43,1),(106,1)}
        22:{1,4,7}:{(8,1),(9,1),(16,1),(35,1)}
        23:{1,3,6,7}:{(9,1),(13,1),(17,1),(36,1),(42,1),(106,1),(200,1),(291,1)}
        24:{1,3,5}:{(10,1),(11,1),(43,1),(44,1),(212,1),(272,1),(292,1)}
        25:{2,3,6}:{(11,1),(40,1),(44,1),(45,1),(46,1),(280,1)}
        26:{1,3,7}:{(11,1),(12,1),(46,1),(294,1),(339,1)}
        27:{2,4,5,6}:{(14,1),(37,1),(47,1),(48,1),(52,1),(100,1),(114,1),(215,1),(216,1),(264,1),(342,1),(347,1),(390,1),(393,1)}
        28:{3,5}:{(14,1),(15,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(39,1),(51,1),(52,1),(56,1),(105,1),(129,1)}
        30:{2,3,4,6}:{(15,1),(40,1),(50,1),(53,1),(54,1),(110,1),(114,1),(125,1),(187,1),(190,1),(277,1),(338,1),(348,1),(351,1)}
        31:{3,4,7}:{(15,1),(16,1),(51,1),(339,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(42,1),(52,1),(55,1),(56,1),(348,1)}
        33:{2,4,5}:{(18,1),(20,1),(58,1),(66,1),(337,1),(386,1)}
        34:{3,4,6}:{(18,1),(58,1),(61,1),(138,1),(250,1),(258,1)}
        35:{2,4,7}:{(18,1),(19,1),(22,1),(61,1),(384,1)}
        36:{2,3,6,7}:{(19,1),(23,1),(62,1),(138,1),(153,1),(257,1),(263,1),(331,1)}
        37:{1,4,5,6}:{(20,1),(27,1),(57,1),(63,1),(64,1),(68,1),(145,1),(158,1),(220,1),(261,1),(315,1),(323,1),(380,1)}
        38:{1,3,5}:{(20,1),(21,1),(28,1),(58,1),(66,1)}
        39:{1,4,5,7}:{(20,1),(22,1),(29,1),(59,1),(67,1),(68,1),(71,1),(152,1)}
        40:{2,4,6}:{(21,1),(25,1),(66,1),(69,1),(70,1),(72,1),(153,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(26,1),(31,1),(61,1),(67,1),(70,1)}
        42:{1,4,6,7}:{(22,1),(23,1),(32,1),(62,1),(68,1),(71,1),(328,1)}
        43:{1,3,4}:{(24,1),(72,1),(245,1),(258,1),(312,1)}
        44:{2,3,5}:{(24,1),(25,1),(66,1),(72,1),(73,1),(243,1),(249,1)}
        45:{1,3,6}:{(25,1),(69,1),(73,1),(74,1),(75,1)}
        46:{2,3,7}:{(25,1),(26,1),(70,1),(75,1),(320,1)}
        47:{3,5,6}:{(27,1),(28,1),(76,1),(78,1),(84,1),(304,1),(366,1),(401,1)}
        48:{2,4,5,7}:{(27,1),(64,1),(78,1),(79,1),(146,1),(159,1),(253,1),(254,1),(305,1),(369,1),(403,1)}
        49:{3,4,5}:{(28,1),(76,1),(80,1),(312,1),(366,1),(405,1)}
        50:{2,3,5}:{(28,1),(30,1),(66,1),(80,1),(82,1),(366,1),(374,1),(377,1)}
        51:{3,5,7}:{(28,1),(29,1),(31,1),(84,1)}
        52:{2,4,6}:{(29,1),(68,1),(84,1),(85,1),(153,1),(172,1)}
        53:{1,3,4,6}:{(30,1),(69,1),(82,1),(86,1),(87,1),(154,1),(156,1),(158,1),(171,1),(236,1),(245,1),(250,1),(258,1),(328,1),(335,1),(375,1)}
        54:{2,3,4,7}:{(30,1),(31,1),(70,1),(83,1),(87,1),(159,1),(235,1),(237,1),(316,1),(367,1),(378,1)}
        55:{3,4,6,7}:{(31,1),(32,1),(84,1),(88,1),(172,1),(368,1),(372,1),(403,1)}
        56:{2,5,7}:{(32,1),(71,1),(85,1),(88,1),(374,1)}
        57:{2,4,5,6}:{(33,1),(37,1),(89,1),(90,1),(94,1),(100,1),(174,1),(204,1),(275,1),(276,1),(297,1),(302,1),(362,1),(365,1)}
        58:{3,5}:{(33,1),(34,1)}
        59:{2,4,5,7}:{(33,1),(35,1),(39,1),(93,1),(94,1),(98,1),(105,1),(189,1)}
        60:{2,3,4,6}:{(34,1),(40,1),(92,1),(95,1),(96,1),(110,1),(127,1),(174,1),(185,1),(190,1),(217,1),(293,1),(303,1),(351,1)}
        61:{3,4,7}:{(34,1),(35,1),(93,1),(294,1)}
        62:{2,4,6,7}:{(35,1),(36,1),(42,1),(94,1),(97,1),(98,1),(303,1)}
        63:{1,3,5,6}:{(37,1),(38,1),(47,1),(89,1),(99,1),(100,1),(101,1),(106,1),(353,1),(397,1)}
        64:{1,4,5,7}:{(37,1),(48,1),(90,1),(101,1),(102,1),(194,1),(205,1),(265,1),(296,1),(341,1)}
        65:{1,3,4,5}:{(38,1),(43,1),(49,1),(91,1),(99,1),(103,1),(120,1),(180,1),(196,1),(212,1),(272,1),(289,1),(353,1)}
        66:{2,5}:{(38,1),(40,1),(104,1)}
        67:{1,3,5,7}:{(38,1),(39,1),(41,1),(51,1),(93,1),(105,1),(106,1)}
        68:{1,4,6}:{(39,1),(52,1),(94,1),(106,1),(107,1),(200,1)}
        69:{1,4,6}:{(40,1),(45,1),(104,1),(109,1),(111,1),(200,1)}
        70:{2,4,7}:{(40,1),(41,1),(46,1),(105,1),(109,1)}
        71:{1,5,7}:{(42,1),(56,1),(98,1),(107,1),(358,1)}
        72:{2,4}:{(43,1),(44,1),(111,1)}
        73:{1,3,5}:{(44,1),(45,1),(104,1),(111,1),(112,1),(203,1)}
        74:{1,2,6}:{(45,1),(112,1),(113,1),(280,1)}
        75:{1,3,7}:{(45,1),(46,1),(109,1),(113,1)}
        76:{3,4,6}:{(47,1),(49,1),(114,1),(115,1),(393,1)}
        77:{2,3,5,6}:{(47,1),(50,1),(100,1),(114,1),(116,1),(117,1),(125,1),(190,1),(215,1)}
        78:{3,5,7}:{(47,1),(48,1),(115,1),(118,1),(339,1)}
        79:{2,4,6,7}:{(48,1),(52,1),(102,1),(118,1),(119,1),(195,1),(211,1),(390,1)}
        80:{2,4,5}:{(49,1),(50,1),(114,1),(120,1),(277,1)}
        81:{3,4,5,7}:{(49,1),(51,1),(115,1),(121,1),(122,1),(129,1),(207,1),(345,1),(387,1),(392,1),(410,1)}
        82:{1,3,5}:{(50,1),(53,1),(104,1),(120,1),(123,1),(212,1),(358,1),(364,1),(394,1)}
        83:{2,3,5,7}:{(50,1),(51,1),(54,1),(105,1),(121,1),(124,1),(125,1),(387,1),(396,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,5,6}:{(52,1),(56,1),(107,1),(126,1)}
        86:{2,4,6}:{(53,1),(123,1),(127,1),(128,1),(202,1),(217,1),(219,1),(280,1)}
        87:{1,3,4,7}:{(53,1),(54,1),(109,1),(124,1),(128,1),(201,1),(205,1),(281,1),(290,1),(294,1),(300,1),(395,1)}
        88:{3,5,7}:{(55,1),(56,1),(126,1),(129,1),(392,1)}
        89:{3,5,6}:{(57,1),(58,1),(130,1),(132,1),(138,1),(250,1),(329,1),(382,1)}
        90:{2,4,5,7}:{(57,1),(64,1),(132,1),(133,1),(146,1),(221,1),(251,1),(307,1),(308,1),(332,1),(384,1)}
        91:{3,4,5}:{(58,1),(130,1),(134,1),(258,1),(329,1),(386,1)}
        92:{2,3,5}:{(58,1),(60,1),(66,1),(134,1),(136,1),(329,1),(337,1),(377,1)}
        93:{3,5,7}:{(58,1),(59,1),(61,1),(138,1)}
        94:{2,4,6}:{(59,1),(68,1),(138,1),(139,1),(153,1),(234,1)}
        95:{1,3,4,6}:{(60,1),(69,1),(136,1),(140,1),(141,1),(154,1),(156,1),(220,1),(233,1),(236,1),(245,1),(304,1),(312,1),(328,1),(372,1),(375,1)}
        96:{2,3,4,7}:{(60,1),(61,1),(70,1),(137,1),(141,1),(173,1),(221,1),(237,1),(262,1),(330,1),(378,1)}
        97:{3,4,6,7}:{(61,1),(62,1),(138,1),(142,1),(234,1),(331,1),(335,1),(384,1)}
        98:{2,5,7}:{(62,1),(71,1),(139,1),(142,1),(337,1)}
        99:{1,3,4,6}:{(63,1),(65,1),(76,1),(130,1),(143,1),(144,1),(158,1),(220,1),(236,1),(250,1),(304,1)}
       100:{2,5,6}:{(63,1),(66,1),(143,1),(145,1),(146,1),(153,1),(377,1),(407,1)}
       101:{1,3,5,7}:{(63,1),(64,1),(78,1),(132,1),(144,1),(146,1),(147,1)}
       102:{1,4,6,7}:{(64,1),(68,1),(79,1),(133,1),(147,1),(148,1),(242,1),(380,1)}
       103:{2,4,5}:{(65,1),(66,1),(72,1),(143,1),(149,1),(150,1),(243,1),(327,1),(377,1)}
       104:{1,5}:{(66,1),(69,1)}
       105:{2,5,7}:{(66,1),(67,1),(70,1),(152,1),(153,1)}
       106:{1,3,6}:{(67,1),(68,1),(84,1),(138,1),(153,1)}
       107:{1,5,6}:{(68,1),(71,1),(85,1),(139,1)}
       108:{1,2,4,6}:{(69,1),(74,1),(86,1),(140,1),(151,1),(154,1),(155,1),(157,1),(245,1),(247,1),(248,1),(318,1),(328,1),(375,1)}
       109:{1,4,7}:{(69,1),(70,1),(75,1),(152,1)}
       110:{2,3,4}:{(72,1),(149,1),(156,1),(249,1),(258,1),(312,1),(327,1)}
       111:{1,4}:{(72,1),(73,1)}
       112:{1,2,5}:{(73,1),(74,1),(157,1),(243,1)}
       113:{1,2,7}:{(74,1),(75,1),(320,1)}
       114:{2,4,6}:{(76,1),(77,1),(80,1),(158,1),(159,1)}
       115:{3,4,7}:{(76,1),(78,1),(159,1),(403,1)}
       116:{1,3,5,6}:{(77,1),(82,1),(145,1),(158,1),(161,1),(162,1),(171,1),(236,1),(250,1),(261,1),(336,1)}
       117:{2,3,5,7}:{(77,1),(78,1),(146,1),(159,1),(162,1),(163,1),(237,1),(253,1)}
       118:{3,6,7}:{(78,1),(79,1),(84,1),(401,1)}
       119:{2,5,6,7}:{(79,1),(85,1),(148,1),(164,1),(253,1),(369,1),(404,1)}
       120:{1,4,5}:{(80,1),(82,1),(158,1),(165,1),(245,1),(386,1)}
       121:{2,4,5,7}:{(80,1),(81,1),(83,1),(159,1),(166,1),(167,1),(253,1),(316,1),(374,1)}
       122:{3,4,6}:{(81,1),(84,1),(167,1),(168,1),(172,1),(401,1),(412,1)}
       123:{2,5}:{(82,1),(86,1)}
       124:{1,3,5,7}:{(82,1),(83,1),(87,1),(152,1),(166,1),(170,1),(171,1),(259,1),(406,1)}
       125:{2,3,6}:{(83,1),(84,1),(153,1),(167,1),(171,1),(401,1),(407,1)}
       126:{3,5,6}:{(84,1),(85,1),(88,1),(172,1)}
       127:{2,3,6}:{(86,1),(154,1),(169,1),(173,1),(249,1),(250,1)}
       128:{2,4,7}:{(86,1),(87,1),(170,1),(173,1),(320,1)}
       129:{4,5,7}:{(88,1),(172,1),(403,1),(405,1)}
       130:{3,4,6}:{(89,1),(91,1),(174,1),(175,1),(365,1)}
       131:{2,3,5,6}:{(89,1),(92,1),(100,1),(174,1),(176,1),(177,1),(185,1),(190,1),(275,1)}
       132:{3,5,7}:{(89,1),(90,1),(175,1),(178,1),(294,1)}
       133:{2,4,6,7}:{(90,1),(94,1),(102,1),(178,1),(179,1),(195,1),(271,1),(362,1)}
       134:{2,4,5}:{(91,1),(92,1),(174,1),(180,1),(217,1)}
       135:{3,4,5,7}:{(91,1),(93,1),(175,1),(181,1),(182,1),(189,1),(267,1),(300,1),(359,1),(364,1),(400,1)}
       136:{1,3,5}:{(92,1),(95,1),(104,1),(180,1),(183,1),(272,1),(358,1),(392,1),(394,1)}
       137:{2,3,5,7}:{(92,1),(93,1),(96,1),(105,1),(181,1),(184,1),(185,1),(359,1),(396,1)}
       138:{3,6}:{(93,1),(94,1)}
       139:{2,5,6}:{(94,1),(98,1),(107,1),(186,1)}
       140:{2,4,6}:{(95,1),(183,1),(187,1),(188,1),(202,1),(277,1),(279,1),(280,1)}
       141:{1,3,4,7}:{(95,1),(96,1),(109,1),(184,1),(188,1),(201,1),(265,1),(281,1),(290,1),(339,1),(345,1),(395,1)}
       142:{3,5,7}:{(97,1),(98,1),(186,1),(189,1),(364,1)}
       143:{2,4,6}:{(99,1),(100,1),(103,1),(190,1),(191,1),(192,1),(280,1)}
       144:{1,3,4,7}:{(99,1),(101,1),(115,1),(175,1),(192,1),(205,1),(265,1),(281,1),(294,1),(339,1)}
       145:{1,5,6}:{(100,1),(104,1),(191,1),(194,1),(200,1),(394,1),(411,1)}
       146:{2,5,7}:{(100,1),(101,1),(192,1),(194,1),(195,1)}
       147:{1,3,6,7}:{(101,1),(102,1),(106,1),(118,1),(178,1),(195,1),(397,1)}
       148:{1,5,6,7}:{(102,1),(107,1),(119,1),(179,1),(296,1),(341,1),(398,1)}
       149:{2,3,5}:{(103,1),(110,1),(190,1),(196,1),(212,1),(272,1)}
       150:{1,4,5}:{(103,1),(104,1),(111,1),(191,1),(196,1),(357,1),(394,1)}
       151:{1,2,5}:{(104,1),(108,1),(123,1),(183,1),(198,1),(358,1),(394,1)}
       152:{1,5,7}:{(104,1),(105,1),(109,1),(200,1)}
       153:{2,6}:{(105,1),(106,1),(200,1)}
       154:{1,3,6}:{(108,1),(127,1),(187,1),(198,1),(201,1),(203,1),(292,1)}
       155:{1,2,4,7}:{(108,1),(109,1),(113,1),(128,1),(188,1),(199,1),(201,1),(290,1),(350,1),(395,1)}
       156:{1,3,4}:{(110,1),(111,1),(196,1),(202,1),(203,1),(292,1),(357,1)}
       157:{1,2,4}:{(111,1),(112,1),(202,1),(203,1)}
       158:{1,4,6}:{(114,1),(116,1),(120,1),(204,1),(205,1),(365,1)}
       159:{2,4,7}:{(114,1),(115,1),(117,1),(205,1)}
       160:{3,4,6,7}:{(115,1),(118,1),(122,1),(206,1),(207,1),(211,1)}
       161:{2,5,6}:{(116,1),(123,1),(204,1),(209,1),(219,1),(280,1)}
       162:{1,3,5,7}:{(116,1),(117,1),(194,1),(205,1),(209,1),(210,1),(281,1),(294,1),(296,1),(361,1)}
       163:{2,3,6,7}:{(117,1),(118,1),(125,1),(195,1),(206,1),(210,1)}
       164:{3,5,6,7}:{(118,1),(119,1),(126,1),(207,1),(211,1),(389,1),(409,1)}
       165:{2,4,5}:{(120,1),(123,1),(204,1),(212,1),(217,1)}
       166:{1,4,5,7}:{(120,1),(121,1),(124,1),(205,1),(213,1),(214,1),(290,1),(296,1),(358,1)}
       167:{2,4,6}:{(121,1),(122,1),(125,1),(214,1),(215,1)}
       168:{3,5,6}:{(122,1),(207,1),(215,1),(216,1),(392,1)}
       169:{2,3,5}:{(123,1),(127,1),(198,1),(212,1),(217,1)}
       170:{2,5,7}:{(123,1),(124,1),(128,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(200,1),(214,1),(219,1),(301,1),(411,1)}
       172:{4,6}:{(126,1),(129,1)}
       173:{2,3,7}:{(127,1),(128,1),(201,1),(294,1)}
       174:{2,4,6}:{(130,1),(131,1),(134,1),(220,1),(221,1)}
       175:{3,4,7}:{(130,1),(132,1),(221,1),(384,1)}
       176:{1,3,5,6}:{(131,1),(136,1),(145,1),(220,1),(223,1),(224,1),(233,1),(236,1),(304,1),(315,1),(373,1)}
       177:{2,3,5,7}:{(131,1),(132,1),(146,1),(221,1),(224,1),(225,1),(237,1),(307,1)}
       178:{3,6,7}:{(132,1),(133,1),(138,1),(382,1)}
       179:{2,5,6,7}:{(133,1),(139,1),(148,1),(226,1),(307,1),(332,1),(385,1)}
       180:{1,4,5}:{(134,1),(136,1),(220,1),(227,1),(245,1),(405,1)}
       181:{2,4,5,7}:{(134,1),(135,1),(137,1),(221,1),(228,1),(229,1),(262,1),(307,1),(337,1)}
       182:{3,4,6}:{(135,1),(138,1),(229,1),(230,1),(234,1),(382,1),(408,1)}
       183:{2,5}:{(136,1),(140,1)}
       184:{1,3,5,7}:{(136,1),(137,1),(141,1),(152,1),(228,1),(232,1),(233,1),(313,1),(406,1)}
       185:{2,3,6}:{(137,1),(138,1),(153,1),(229,1),(233,1),(382,1),(407,1)}
       186:{3,5,6}:{(138,1),(139,1),(142,1),(234,1)}
       187:{2,3,6}:{(140,1),(154,1),(231,1),(235,1),(249,1),(304,1)}
       188:{2,4,7}:{(140,1),(141,1),(232,1),(235,1),(320,1)}
       189:{4,5,7}:{(142,1),(234,1),(384,1),(386,1)}
       190:{2,3,6}:{(143,1),(149,1),(236,1),(237,1),(250,1),(304,1)}
       191:{1,4,6}:{(143,1),(145,1),(150,1),(236,1),(239,1)}
       192:{2,4,7}:{(143,1),(144,1),(146,1),(237,1),(239,1),(320,1)}
       193:{1,2,5,6}:{(145,1),(151,1),(161,1),(223,1),(238,1),(240,1),(241,1),(247,1),(318,1),(377,1),(407,1)}
       194:{1,5,7}:{(145,1),(146,1),(239,1),(242,1)}
       195:{2,6,7}:{(146,1),(147,1),(153,1),(242,1),(407,1)}
       196:{1,3,5}:{(149,1),(150,1),(156,1),(236,1),(243,1)}
       197:{1,2,4,5}:{(150,1),(151,1),(157,1),(165,1),(227,1),(238,1),(243,1),(244,1),(245,1),(323,1),(327,1),(377,1)}
       198:{1,3,5}:{(151,1),(154,1),(169,1),(231,1),(245,1)}
       199:{1,2,5,7}:{(151,1),(152,1),(155,1),(170,1),(232,1),(246,1),(247,1),(406,1)}
       200:{1,6}:{(152,1),(153,1)}
       201:{1,3,7}:{(154,1),(155,1),(173,1),(235,1)}
       202:{2,4}:{(156,1),(243,1),(249,1)}
       203:{1,3}:{(157,1),(249,1)}
       204:{2,4,6}:{(158,1),(161,1),(165,1),(250,1),(251,1)}
       205:{1,4,7}:{(158,1),(159,1),(162,1),(251,1),(384,1)}
       206:{2,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(252,1),(253,1)}
       207:{3,5,7}:{(160,1),(168,1),(253,1),(254,1)}
       208:{2,3,5,6}:{(161,1),(169,1),(240,1),(250,1),(255,1),(256,1),(263,1),(319,1),(329,1),(336,1),(337,1),(377,1),(382,1),(385,1),(407,1)}
       209:{2,5,7}:{(161,1),(162,1),(251,1),(257,1),(320,1)}
       210:{1,3,6,7}:{(162,1),(163,1),(171,1),(242,1),(252,1),(257,1),(331,1)}
       211:{4,6,7}:{(164,1),(172,1),(254,1),(403,1),(412,1)}
       212:{3,5}:{(165,1),(250,1),(258,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(170,1),(251,1),(259,1),(260,1),(262,1),(332,1),(337,1),(384,1),(386,1)}
       214:{1,4,6}:{(166,1),(167,1),(171,1),(260,1),(261,1)}
       215:{2,5,6}:{(167,1),(168,1),(253,1),(261,1),(374,1)}
       216:{4,5,6}:{(168,1),(172,1),(254,1),(405,1),(412,1)}
       217:{2,4}:{(169,1),(245,1),(258,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(173,1),(246,1),(259,1),(262,1),(263,1),(337,1)}
       219:{2,6}:{(170,1),(171,1)}
       220:{1,4,6}:{(174,1),(176,1),(180,1),(264,1),(265,1),(393,1)}
       221:{2,4,7}:{(174,1),(175,1),(177,1),(265,1)}
       222:{3,4,6,7}:{(175,1),(178,1),(182,1),(266,1),(267,1),(271,1)}
       223:{2,5,6}:{(176,1),(183,1),(264,1),(269,1),(279,1),(280,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(194,1),(265,1),(269,1),(270,1),(281,1),(339,1),(341,1),(389,1)}
       225:{2,3,6,7}:{(177,1),(178,1),(185,1),(195,1),(266,1),(270,1)}
       226:{3,5,6,7}:{(178,1),(179,1),(186,1),(267,1),(271,1),(361,1),(399,1)}
       227:{2,4,5}:{(180,1),(183,1),(264,1),(272,1),(277,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(184,1),(265,1),(273,1),(274,1),(290,1),(341,1),(358,1)}
       229:{2,4,6}:{(181,1),(182,1),(185,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(267,1),(275,1),(276,1),(364,1)}
       231:{2,3,5}:{(183,1),(187,1),(198,1),(272,1),(277,1)}
       232:{2,5,7}:{(183,1),(184,1),(188,1),(279,1)}
       233:{1,3,6}:{(184,1),(185,1),(200,1),(274,1),(279,1),(346,1),(411,1)}
       234:{4,6}:{(186,1),(189,1)}
       235:{2,3,7}:{(187,1),(188,1),(201,1),(339,1)}
       236:{1,3,6}:{(190,1),(191,1),(196,1),(280,1),(281,1)}
       237:{2,3,7}:{(190,1),(192,1),(281,1),(294,1),(339,1)}
       238:{1,2,4,6}:{(191,1),(193,1),(197,1),(204,1),(264,1),(280,1),(282,1),(283,1),(284,1),(351,1)}
       239:{1,4,7}:{(191,1),(192,1),(194,1),(281,1)}
       240:{1,3,5,6}:{(193,1),(198,1),(208,1),(268,1),(282,1),(284,1),(285,1),(291,1),(349,1),(353,1),(358,1),(394,1),(397,1),(398,1),(411,1)}
       241:{1,2,5,7}:{(193,1),(194,1),(209,1),(269,1),(283,1),(285,1),(286,1),(350,1),(396,1)}
       242:{1,6,7}:{(194,1),(195,1),(200,1),(411,1)}
       243:{2,5}:{(196,1),(202,1),(280,1)}
       244:{1,3,5}:{(197,1),(203,1),(212,1),(272,1),(282,1),(288,1),(289,1)}
       245:{1,4}:{(198,1),(217,1),(277,1)}
       246:{1,3,5,7}:{(198,1),(199,1),(201,1),(218,1),(278,1),(290,1),(291,1),(358,1)}
       247:{1,2,6}:{(199,1),(200,1),(219,1),(279,1),(291,1),(411,1)}
       248:{1,2,4}:{(202,1),(287,1),(292,1),(357,1)}
       249:{2,3}:{(202,1),(203,1),(292,1)}
       250:{3,6}:{(204,1),(212,1),(294,1)}
       251:{2,4,7}:{(204,1),(205,1),(209,1),(294,1)}
       252:{1,4,6,7}:{(205,1),(206,1),(210,1),(214,1),(295,1),(296,1)}
       253:{2,5,7}:{(206,1),(207,1),(215,1),(296,1)}
       254:{4,5,7}:{(207,1),(211,1),(216,1)}
       255:{2,4,6}:{(208,1),(217,1),(284,1),(293,1),(297,1),(298,1),(365,1)}
       256:{2,3,5,7}:{(208,1),(209,1),(285,1),(294,1),(298,1),(299,1),(352,1),(359,1),(361,1),(363,1),(396,1)}
       257:{2,6,7}:{(209,1),(210,1),(219,1)}
       258:{3,4}:{(212,1),(217,1)}
       259:{3,5,7}:{(212,1),(213,1),(294,1),(300,1),(301,1),(364,1)}
       260:{2,4,6}:{(213,1),(214,1),(219,1),(301,1),(302,1),(365,1)}
       261:{1,5,6}:{(214,1),(215,1),(296,1),(302,1),(358,1)}
       262:{2,4,7}:{(217,1),(218,1),(290,1),(300,1),(303,1)}
       263:{2,3,6}:{(218,1),(219,1),(291,1),(301,1),(303,1)}
       264:{2,4,6}:{(220,1),(223,1),(227,1),(304,1),(305,1)}
       265:{1,4,7}:{(220,1),(221,1),(224,1),(305,1),(403,1)}
       266:{2,4,6,7}:{(221,1),(222,1),(225,1),(229,1),(306,1),(307,1)}
       267:{3,5,7}:{(222,1),(230,1),(307,1),(308,1)}
       268:{2,3,5,6}:{(223,1),(231,1),(240,1),(304,1),(309,1),(310,1),(317,1),(319,1),(366,1),(373,1),(374,1),(377,1),(401,1),(404,1),(407,1)}
       269:{2,5,7}:{(223,1),(224,1),(305,1),(311,1),(320,1)}
       270:{1,3,6,7}:{(224,1),(225,1),(233,1),(242,1),(306,1),(311,1),(368,1)}
       271:{4,6,7}:{(226,1),(234,1),(308,1),(384,1),(408,1)}
       272:{3,5}:{(227,1),(304,1),(312,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(232,1),(305,1),(313,1),(314,1),(316,1),(369,1),(374,1),(403,1),(405,1)}
       274:{1,4,6}:{(228,1),(229,1),(233,1),(314,1),(315,1)}
       275:{2,5,6}:{(229,1),(230,1),(307,1),(315,1),(337,1)}
       276:{4,5,6}:{(230,1),(234,1),(308,1),(386,1),(408,1)}
       277:{2,4}:{(231,1),(245,1),(312,1)}
       278:{2,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(313,1),(316,1),(317,1),(374,1)}
       279:{2,6}:{(232,1),(233,1)}
       280:{2,6}:{(236,1),(243,1),(320,1)}
       281:{1,3,7}:{(236,1),(237,1),(239,1),(320,1)}
       282:{1,3,6}:{(238,1),(244,1),(250,1),(304,1),(319,1),(322,1)}
       283:{1,2,4,7}:{(238,1),(239,1),(241,1),(251,1),(305,1),(320,1),(322,1),(324,1),(378,1)}
       284:{1,4,6}:{(240,1),(245,1),(255,1),(309,1),(323,1),(324,1)}
       285:{1,3,5,7}:{(240,1),(241,1),(256,1),(310,1),(322,1),(324,1),(325,1),(376,1),(381,1),(406,1)}
       286:{1,2,6,7}:{(241,1),(242,1),(247,1),(257,1),(311,1),(325,1),(407,1)}
       287:{1,2,5}:{(243,1),(248,1),(318,1),(326,1)}
       288:{2,3,5}:{(243,1),(244,1),(249,1),(319,1),(326,1),(327,1),(377,1)}
       289:{1,3,4}:{(244,1),(245,1),(258,1),(312,1),(327,1)}
       290:{1,4,7}:{(245,1),(246,1),(262,1),(316,1),(328,1)}
       291:{1,3,6}:{(246,1),(247,1),(263,1),(317,1),(328,1)}
       292:{1,3}:{(248,1),(249,1)}
       293:{3,4,6}:{(250,1),(255,1),(258,1),(329,1),(330,1),(382,1)}
       294:{3,7}:{(250,1),(251,1)}
       295:{2,4,6,7}:{(251,1),(252,1),(257,1),(260,1),(331,1),(332,1),(384,1)}
       296:{1,5,7}:{(252,1),(253,1),(261,1),(332,1)}
       297:{2,4,5}:{(255,1),(323,1),(329,1),(337,1),(377,1),(386,1)}
       298:{2,4,7}:{(255,1),(256,1),(324,1),(330,1),(384,1)}
       299:{2,3,6,7}:{(256,1),(257,1),(263,1),(325,1),(331,1),(334,1),(382,1),(407,1)}
       300:{3,4,7}:{(258,1),(259,1),(262,1),(335,1),(384,1)}
       301:{3,6}:{(259,1),(260,1)}
       302:{2,5,6}:{(260,1),(261,1),(332,1),(336,1),(337,1)}
       303:{2,4,6}:{(262,1),(263,1),(328,1),(335,1),(337,1)}
       304:{3,6}:{(264,1),(272,1),(339,1)}
       305:{2,4,7}:{(264,1),(265,1),(269,1),(339,1)}
       306:{1,4,6,7}:{(265,1),(266,1),(270,1),(274,1),(340,1),(341,1)}
       307:{2,5,7}:{(266,1),(267,1),(275,1),(341,1)}
       308:{4,5,7}:{(267,1),(271,1),(276,1)}
       309:{2,4,6}:{(268,1),(277,1),(284,1),(338,1),(342,1),(343,1),(393,1)}
       310:{2,3,5,7}:{(268,1),(269,1),(285,1),(339,1),(343,1),(344,1),(352,1),(387,1),(389,1),(391,1),(396,1)}
       311:{2,6,7}:{(269,1),(270,1),(279,1)}
       312:{3,4}:{(272,1),(277,1)}
       313:{3,5,7}:{(272,1),(273,1),(339,1),(345,1),(346,1),(392,1)}
       314:{2,4,6}:{(273,1),(274,1),(279,1),(346,1),(347,1),(393,1)}
       315:{1,5,6}:{(274,1),(275,1),(341,1),(347,1),(358,1)}
       316:{2,4,7}:{(277,1),(278,1),(290,1),(345,1),(348,1)}
       317:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       318:{1,2,6}:{(280,1),(287,1),(349,1),(350,1)}
       319:{2,3,6}:{(280,1),(282,1),(288,1),(349,1),(351,1),(352,1)}
       320:{2,7}:{(280,1),(281,1)}
       321:{1,3,4,6}:{(282,1),(284,1),(289,1),(293,1),(338,1),(351,1),(353,1),(354,1),(397,1)}
       322:{1,3,7}:{(282,1),(283,1),(294,1),(339,1),(352,1)}
       323:{1,4,5}:{(284,1),(297,1),(342,1),(353,1),(358,1),(394,1)}
       324:{1,4,7}:{(284,1),(285,1),(298,1),(343,1)}
       325:{1,3,6,7}:{(285,1),(286,1),(291,1),(299,1),(344,1),(356,1),(397,1),(411,1)}
       326:{1,3,5}:{(287,1),(288,1),(292,1),(349,1),(357,1),(394,1)}
       327:{2,4}:{(288,1),(289,1),(357,1)}
       328:{1,4,6}:{(290,1),(291,1),(303,1),(348,1),(358,1)}
       329:{3,5}:{(293,1),(297,1)}
       330:{3,4,7}:{(293,1),(294,1),(298,1),(359,1)}
       331:{3,6,7}:{(294,1),(295,1),(301,1),(361,1)}
       332:{2,5,7}:{(295,1),(296,1),(302,1),(361,1)}
       333:{2,4,5,7}:{(297,1),(298,1),(355,1),(359,1),(362,1),(363,1),(396,1),(400,1)}
       334:{2,4,6,7}:{(298,1),(299,1),(303,1),(356,1),(360,1),(362,1),(363,1)}
       335:{3,4,6}:{(300,1),(301,1),(303,1),(364,1),(365,1)}
       336:{3,5,6}:{(301,1),(302,1),(361,1),(364,1),(365,1)}
       337:{2,5}:{(303,1),(358,1),(364,1)}
       338:{3,4,6}:{(304,1),(309,1),(312,1),(366,1),(367,1),(401,1)}
       339:{3,7}:{(304,1),(305,1)}
       340:{2,4,6,7}:{(305,1),(306,1),(311,1),(314,1),(368,1),(369,1),(403,1)}
       341:{1,5,7}:{(306,1),(307,1),(315,1),(369,1)}
       342:{2,4,5}:{(309,1),(323,1),(366,1),(374,1),(377,1),(405,1)}
       343:{2,4,7}:{(309,1),(310,1),(324,1),(367,1),(403,1)}
       344:{2,3,6,7}:{(310,1),(311,1),(317,1),(325,1),(368,1),(371,1),(401,1),(407,1)}
       345:{3,4,7}:{(312,1),(313,1),(316,1),(372,1),(403,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{2,5,6}:{(314,1),(315,1),(369,1),(373,1),(374,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(372,1),(374,1)}
       349:{1,3,6}:{(318,1),(319,1),(326,1),(375,1),(376,1)}
       350:{1,2,7}:{(318,1),(320,1),(376,1)}
       351:{2,4,6}:{(319,1),(321,1),(327,1),(375,1),(377,1),(378,1),(407,1)}
       352:{2,3,7}:{(319,1),(320,1),(322,1),(376,1),(378,1)}
       353:{1,3,5}:{(321,1),(323,1),(329,1),(366,1),(377,1)}
       354:{1,3,4,7}:{(321,1),(322,1),(324,1),(330,1),(367,1),(378,1),(379,1)}
       355:{1,4,5,7}:{(323,1),(324,1),(333,1),(370,1),(379,1),(380,1),(381,1),(406,1)}
       356:{1,4,6,7}:{(324,1),(325,1),(328,1),(334,1),(371,1),(380,1),(381,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(333,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(334,1),(335,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(336,1),(384,1)}
       362:{2,4,6}:{(333,1),(380,1),(382,1),(385,1),(407,1),(408,1)}
       363:{2,5,7}:{(334,1),(337,1),(381,1),(383,1),(385,1)}
       364:{3,5}:{(335,1),(337,1),(386,1)}
       365:{4,6}:{(336,1),(384,1),(386,1)}
       366:{3,5}:{(338,1),(342,1)}
       367:{3,4,7}:{(338,1),(339,1),(343,1),(387,1)}
       368:{3,6,7}:{(339,1),(340,1),(346,1),(389,1)}
       369:{2,5,7}:{(340,1),(341,1),(347,1),(389,1)}
       370:{2,4,5,7}:{(342,1),(343,1),(355,1),(387,1),(390,1),(391,1),(396,1),(410,1)}
       371:{2,4,6,7}:{(343,1),(344,1),(348,1),(356,1),(388,1),(390,1),(391,1)}
       372:{3,4,6}:{(345,1),(346,1),(348,1),(392,1),(393,1)}
       373:{3,5,6}:{(346,1),(347,1),(389,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(392,1)}
       375:{1,4,6}:{(349,1),(351,1),(357,1),(394,1),(395,1),(411,1)}
       376:{1,3,7}:{(349,1),(350,1),(352,1),(395,1)}
       377:{2,5}:{(351,1),(353,1),(394,1)}
       378:{2,4,7}:{(351,1),(352,1),(354,1),(395,1),(396,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(355,1),(359,1),(387,1),(396,1),(397,1)}
       380:{1,4,6}:{(355,1),(362,1),(390,1),(397,1),(398,1),(411,1)}
       381:{1,5,7}:{(356,1),(358,1),(363,1),(391,1),(398,1)}
       382:{3,6}:{(359,1),(362,1)}
       383:{3,5,7}:{(360,1),(363,1),(364,1),(399,1),(400,1)}
       384:{4,7}:{(361,1),(365,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(399,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(370,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(371,1),(372,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(373,1),(403,1)}
       390:{2,4,6}:{(370,1),(380,1),(401,1),(404,1),(407,1),(412,1)}
       391:{2,5,7}:{(371,1),(374,1),(381,1),(402,1),(404,1)}
       392:{3,5}:{(372,1),(374,1),(405,1)}
       393:{4,6}:{(373,1),(403,1),(405,1)}
       394:{1,5}:{(375,1),(377,1)}
       395:{1,4,7}:{(375,1),(376,1),(378,1),(406,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(380,1),(382,1),(401,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{3,5,6}:{(382,1),(383,1),(385,1),(408,1)}
       400:{4,5,7}:{(383,1),(384,1),(386,1),(408,1)}
       401:{3,6}:{(387,1),(390,1)}
       402:{3,5,7}:{(388,1),(391,1),(392,1),(409,1),(410,1)}
       403:{4,7}:{(389,1),(393,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(409,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{3,5,6}:{(401,1),(402,1),(404,1),(412,1)}
       410:{4,5,7}:{(402,1),(403,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 446 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 447 :   0:{1,2,6,7}:{(2,1),(3,1),(115,1),(197,1),(200,1),(215,1),(270,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(65,1),(115,1),(270,1),(273,1),(336,1)}
         2:{1,3,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(80,1),(156,1),(243,1)}
         3:{1,2,5,7}:{(0,1),(8,1),(9,1),(10,1),(81,1),(88,1),(238,1),(256,1),(307,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(14,1),(41,1),(311,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(12,1),(13,1),(14,1),(37,1),(42,1),(81,1),(307,1),(363,1),(367,1)}
         6:{2,3,6,7}:{(2,1),(15,1),(16,1),(107,1),(115,1),(215,1),(218,1),(291,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(19,1),(52,1),(284,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(5,1),(16,1),(17,1),(18,1),(19,1),(21,1),(59,1),(116,1)}
         9:{1,2,5,6}:{(3,1),(18,1),(20,1),(115,1),(118,1),(123,1),(199,1),(200,1),(204,1),(217,1),(272,1)}
        10:{1,2,4,7}:{(3,1),(19,1),(20,1),(21,1),(56,1),(278,1),(294,1),(339,1),(346,1)}
        11:{3,4,6,7}:{(4,1),(22,1),(26,1),(61,1),(65,1),(336,1),(338,1),(385,1)}
        12:{2,5,7}:{(4,1),(17,1),(22,1),(23,1),(344,1)}
        13:{2,3,5,6}:{(5,1),(18,1),(23,1),(25,1),(58,1),(65,1),(67,1),(115,1),(118,1),(272,1),(273,1),(276,1),(337,1),(342,1),(344,1)}
        14:{2,4,7}:{(5,1),(19,1),(25,1),(26,1),(385,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(30,1),(73,1),(260,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(28,1),(29,1),(30,1),(37,1),(74,1),(81,1),(256,1),(326,1),(330,1)}
        17:{1,5,7}:{(7,1),(12,1),(28,1),(31,1),(321,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(13,1),(29,1),(31,1),(33,1),(36,1),(80,1),(82,1),(87,1),(156,1),(159,1),(243,1),(247,1),(321,1)}
        19:{1,4,7}:{(8,1),(14,1),(30,1),(33,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(35,1),(36,1),(83,1),(241,1),(258,1),(309,1),(318,1)}
        21:{1,3,7}:{(10,1),(36,1),(37,1),(330,1),(367,1)}
        22:{3,5,7}:{(11,1),(12,1),(38,1),(39,1),(366,1)}
        23:{2,5,6}:{(12,1),(31,1),(38,1),(41,1)}
        24:{2,4,5,7}:{(12,1),(14,1),(32,1),(39,1),(41,1),(42,1),(43,1),(81,1)}
        25:{2,4,6}:{(13,1),(14,1),(33,1),(43,1),(44,1),(313,1),(365,1)}
        26:{3,4,7}:{(14,1),(42,1),(44,1),(367,1)}
        27:{3,4,6,7}:{(15,1),(46,1),(50,1),(103,1),(107,1),(291,1),(293,1),(356,1)}
        28:{2,5,7}:{(15,1),(17,1),(46,1),(47,1),(299,1)}
        29:{2,3,5,6}:{(16,1),(18,1),(47,1),(49,1),(58,1),(107,1),(109,1),(115,1),(118,1),(217,1),(218,1),(221,1),(292,1),(297,1),(299,1)}
        30:{2,4,7}:{(16,1),(19,1),(49,1),(50,1),(356,1)}
        31:{1,5,6}:{(17,1),(23,1),(47,1),(52,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(24,1),(48,1),(52,1),(53,1),(54,1),(116,1)}
        33:{1,4,6}:{(18,1),(19,1),(25,1),(49,1),(54,1),(287,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(26,1),(50,1),(53,1),(55,1),(56,1)}
        35:{1,2,4,5}:{(20,1),(54,1),(57,1),(118,1),(121,1),(203,1),(204,1),(220,1),(275,1),(285,1),(287,1),(288,1)}
        36:{1,3,6}:{(20,1),(21,1),(57,1),(58,1),(297,1),(342,1)}
        37:{2,3,7}:{(21,1),(56,1),(58,1),(59,1),(346,1)}
        38:{3,5,6}:{(22,1),(23,1),(61,1),(65,1)}
        39:{4,5,7}:{(22,1),(61,1),(385,1),(387,1)}
        40:{2,5,6,7}:{(23,1),(51,1),(60,1),(63,1),(208,1),(335,1),(390,1)}
        41:{2,4,6}:{(23,1),(24,1),(52,1),(61,1),(65,1),(115,1)}
        42:{3,5,7}:{(24,1),(26,1),(65,1),(67,1)}
        43:{2,4,5}:{(25,1),(54,1),(67,1),(118,1),(344,1),(387,1)}
        44:{3,4,6}:{(25,1),(26,1),(65,1),(67,1),(342,1),(345,1)}
        45:{2,3,4,7}:{(26,1),(56,1),(66,1),(68,1),(69,1),(194,1),(213,1),(274,1),(277,1),(388,1),(393,1)}
        46:{3,5,7}:{(27,1),(28,1),(70,1),(71,1),(329,1)}
        47:{2,5,6}:{(28,1),(31,1),(70,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(30,1),(32,1),(71,1),(73,1),(74,1),(75,1),(81,1)}
        49:{2,4,6}:{(29,1),(30,1),(33,1),(75,1),(76,1),(262,1),(328,1)}
        50:{3,4,7}:{(30,1),(74,1),(76,1),(330,1)}
        51:{1,5,6,7}:{(31,1),(40,1),(72,1),(78,1),(250,1),(301,1),(376,1)}
        52:{1,4,6}:{(31,1),(32,1),(41,1),(73,1),(80,1),(156,1)}
        53:{1,3,5,7}:{(32,1),(34,1),(42,1),(74,1),(80,1),(81,1),(82,1)}
        54:{1,4,5}:{(33,1),(43,1),(75,1),(82,1),(159,1),(321,1)}
        55:{1,3,4,6}:{(33,1),(34,1),(36,1),(44,1),(76,1),(80,1),(82,1),(83,1),(85,1)}
        56:{2,4,7}:{(34,1),(37,1),(81,1),(83,1),(84,1)}
        57:{1,3,5}:{(35,1),(36,1),(85,1),(86,1),(261,1),(312,1),(325,1)}
        58:{2,3,6}:{(36,1),(37,1),(83,1),(86,1),(87,1),(318,1)}
        59:{1,3,7}:{(37,1),(84,1),(87,1),(88,1)}
        60:{3,5,6,7}:{(38,1),(40,1),(89,1),(94,1),(165,1),(363,1),(401,1)}
        61:{4,6}:{(38,1),(39,1)}
        62:{3,4,5,7}:{(39,1),(42,1),(91,1),(92,1),(98,1),(165,1),(170,1),(305,1),(366,1),(400,1),(402,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(78,1),(89,1),(93,1),(94,1),(153,1),(403,1)}
        64:{2,4,5,6}:{(41,1),(43,1),(79,1),(90,1),(93,1),(95,1),(155,1),(167,1),(173,1),(303,1),(309,1),(365,1),(371,1),(403,1)}
        65:{3,6}:{(41,1),(42,1)}
        66:{2,3,5,7}:{(42,1),(45,1),(81,1),(92,1),(96,1),(97,1),(99,1),(402,1),(405,1)}
        67:{3,5}:{(43,1),(44,1)}
        68:{2,3,4,6}:{(44,1),(45,1),(83,1),(96,1),(99,1),(100,1),(162,1),(173,1),(236,1),(240,1),(311,1),(313,1),(370,1),(378,1)}
        69:{1,3,4,7}:{(45,1),(84,1),(97,1),(100,1),(101,1),(161,1),(244,1),(254,1),(255,1),(314,1),(330,1),(404,1)}
        70:{3,5,6}:{(46,1),(47,1),(103,1),(107,1)}
        71:{4,5,7}:{(46,1),(103,1),(356,1),(358,1)}
        72:{2,5,6,7}:{(47,1),(51,1),(102,1),(105,1),(263,1),(290,1),(361,1)}
        73:{2,4,6}:{(47,1),(48,1),(52,1),(103,1),(107,1),(115,1)}
        74:{3,5,7}:{(48,1),(50,1),(107,1),(109,1)}
        75:{2,4,5}:{(49,1),(54,1),(109,1),(118,1),(299,1),(358,1)}
        76:{3,4,6}:{(49,1),(50,1),(107,1),(109,1),(297,1),(300,1)}
        77:{2,3,4,7}:{(50,1),(56,1),(108,1),(110,1),(111,1),(138,1),(219,1),(268,1),(277,1),(359,1),(393,1)}
        78:{1,4,6,7}:{(51,1),(52,1),(63,1),(105,1),(112,1),(113,1),(197,1),(395,1)}
        79:{1,4,5,6}:{(52,1),(54,1),(64,1),(106,1),(112,1),(114,1),(199,1),(210,1),(216,1),(265,1),(271,1),(353,1),(395,1)}
        80:{1,3,6}:{(52,1),(53,1),(65,1),(107,1),(115,1)}
        81:{2,5,7}:{(53,1),(56,1),(115,1),(116,1),(118,1)}
        82:{1,3,5}:{(54,1),(55,1),(67,1),(109,1),(118,1)}
        83:{2,4,6}:{(55,1),(56,1),(58,1),(115,1),(118,1),(119,1),(121,1)}
        84:{1,4,7}:{(56,1),(59,1),(116,1),(119,1)}
        85:{1,3,4}:{(57,1),(121,1),(287,1),(300,1),(345,1)}
        86:{2,3,5}:{(57,1),(58,1),(118,1),(121,1),(122,1),(285,1),(289,1)}
        87:{1,3,6}:{(58,1),(59,1),(119,1),(122,1),(123,1)}
        88:{1,2,7}:{(59,1),(123,1),(346,1)}
        89:{4,6,7}:{(60,1),(61,1),(124,1),(385,1),(408,1)}
        90:{4,5,6}:{(61,1),(124,1),(126,1),(387,1),(408,1)}
        91:{3,4,6}:{(61,1),(62,1),(65,1),(126,1),(127,1),(408,1),(409,1)}
        92:{2,4,5,7}:{(62,1),(66,1),(127,1),(128,1),(135,1),(208,1),(213,1),(274,1),(344,1)}
        93:{2,4,5,7}:{(63,1),(64,1),(112,1),(124,1),(129,1),(196,1),(208,1),(213,1),(335,1),(339,1),(385,1)}
        94:{3,6,7}:{(63,1),(65,1),(129,1),(409,1)}
        95:{3,5,6}:{(64,1),(65,1),(67,1),(129,1),(131,1),(342,1),(391,1),(409,1)}
        96:{2,3,6}:{(65,1),(66,1),(115,1),(127,1),(133,1),(409,1),(411,1)}
        97:{1,3,5,7}:{(66,1),(69,1),(116,1),(128,1),(133,1),(134,1),(136,1),(212,1),(410,1)}
        98:{3,4,5}:{(67,1),(131,1),(135,1),(345,1),(387,1),(391,1)}
        99:{2,3,5}:{(67,1),(68,1),(118,1),(135,1),(136,1),(344,1),(391,1),(397,1)}
       100:{1,3,4,6}:{(68,1),(69,1),(119,1),(133,1),(136,1),(137,1),(205,1),(206,1),(216,1),(281,1),(284,1),(287,1),(293,1),(297,1),(300,1),(396,1)}
       101:{2,4,7}:{(69,1),(134,1),(137,1),(138,1),(346,1)}
       102:{3,5,6,7}:{(70,1),(72,1),(139,1),(144,1),(222,1),(326,1),(382,1)}
       103:{4,6}:{(70,1),(71,1)}
       104:{3,4,5,7}:{(71,1),(74,1),(141,1),(142,1),(148,1),(222,1),(227,1),(254,1),(329,1),(381,1),(383,1)}
       105:{2,4,6,7}:{(72,1),(73,1),(78,1),(139,1),(143,1),(144,1),(153,1),(384,1)}
       106:{2,4,5,6}:{(73,1),(75,1),(79,1),(140,1),(143,1),(145,1),(155,1),(224,1),(230,1),(252,1),(258,1),(328,1),(334,1),(384,1)}
       107:{3,6}:{(73,1),(74,1)}
       108:{2,3,5,7}:{(74,1),(77,1),(81,1),(142,1),(146,1),(147,1),(149,1),(383,1),(405,1)}
       109:{3,5}:{(75,1),(76,1)}
       110:{2,3,4,6}:{(76,1),(77,1),(83,1),(146,1),(149,1),(150,1),(162,1),(179,1),(230,1),(240,1),(260,1),(262,1),(333,1),(378,1)}
       111:{1,3,4,7}:{(77,1),(84,1),(147,1),(150,1),(151,1),(161,1),(244,1),(305,1),(306,1),(314,1),(367,1),(404,1)}
       112:{1,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(152,1),(238,1),(250,1),(255,1),(301,1),(306,1)}
       113:{1,3,6,7}:{(78,1),(80,1),(94,1),(144,1),(152,1),(153,1),(406,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(82,1),(95,1),(145,1),(152,1),(154,1),(155,1),(379,1),(406,1)}
       115:{2,6}:{(80,1),(81,1),(156,1)}
       116:{1,5,7}:{(81,1),(84,1),(156,1),(159,1)}
       117:{1,3,4,5}:{(82,1),(85,1),(98,1),(148,1),(154,1),(158,1),(177,1),(234,1),(245,1),(261,1),(312,1),(324,1),(379,1)}
       118:{2,5}:{(82,1),(83,1),(159,1)}
       119:{1,4,6}:{(83,1),(84,1),(87,1),(156,1),(159,1),(163,1)}
       120:{1,2,4,7}:{(84,1),(88,1),(101,1),(151,1),(157,1),(160,1),(161,1),(244,1),(372,1),(404,1)}
       121:{2,4}:{(85,1),(86,1),(163,1)}
       122:{1,3,5}:{(86,1),(87,1),(159,1),(163,1),(164,1),(249,1)}
       123:{1,2,6}:{(87,1),(88,1),(164,1),(318,1)}
       124:{4,5,7}:{(89,1),(90,1),(165,1)}
       125:{3,4,6,7}:{(89,1),(91,1),(94,1),(165,1),(166,1),(170,1)}
       126:{3,5,6}:{(90,1),(91,1),(165,1),(167,1),(366,1)}
       127:{2,4,6}:{(91,1),(92,1),(96,1),(167,1),(168,1)}
       128:{1,4,5,7}:{(92,1),(97,1),(168,1),(169,1),(177,1),(244,1),(250,1),(255,1),(321,1)}
       129:{3,5,7}:{(93,1),(94,1),(95,1),(170,1),(367,1)}
       130:{2,3,6,7}:{(94,1),(96,1),(153,1),(166,1),(171,1),(172,1)}
       131:{3,4,6}:{(95,1),(98,1),(170,1),(173,1),(365,1)}
       132:{2,3,5,6}:{(95,1),(96,1),(99,1),(155,1),(167,1),(171,1),(173,1),(174,1),(240,1)}
       133:{1,3,6}:{(96,1),(97,1),(156,1),(168,1),(175,1),(253,1),(412,1)}
       134:{2,5,7}:{(97,1),(101,1),(175,1),(178,1)}
       135:{2,4,5}:{(98,1),(99,1),(173,1),(177,1),(313,1)}
       136:{1,3,5}:{(99,1),(100,1),(159,1),(177,1),(178,1),(261,1),(321,1),(329,1),(407,1)}
       137:{2,4,6}:{(100,1),(101,1),(175,1),(178,1),(179,1),(248,1),(262,1),(318,1)}
       138:{2,3,7}:{(101,1),(161,1),(179,1),(330,1)}
       139:{4,6,7}:{(102,1),(103,1),(180,1),(356,1),(398,1)}
       140:{4,5,6}:{(103,1),(180,1),(182,1),(358,1),(398,1)}
       141:{3,4,6}:{(103,1),(104,1),(107,1),(182,1),(183,1),(398,1),(399,1)}
       142:{2,4,5,7}:{(104,1),(108,1),(183,1),(184,1),(191,1),(219,1),(263,1),(268,1),(299,1)}
       143:{2,4,5,7}:{(105,1),(106,1),(112,1),(180,1),(185,1),(196,1),(263,1),(268,1),(290,1),(294,1),(356,1)}
       144:{3,6,7}:{(105,1),(107,1),(185,1),(399,1)}
       145:{3,5,6}:{(106,1),(107,1),(109,1),(185,1),(187,1),(297,1),(362,1),(399,1)}
       146:{2,3,6}:{(107,1),(108,1),(115,1),(183,1),(189,1),(399,1),(411,1)}
       147:{1,3,5,7}:{(108,1),(111,1),(116,1),(184,1),(189,1),(190,1),(192,1),(267,1),(410,1)}
       148:{3,4,5}:{(109,1),(187,1),(191,1),(300,1),(358,1),(362,1)}
       149:{2,3,5}:{(109,1),(110,1),(118,1),(191,1),(192,1),(299,1),(362,1),(397,1)}
       150:{1,3,4,6}:{(110,1),(111,1),(119,1),(189,1),(192,1),(193,1),(205,1),(206,1),(271,1),(281,1),(284,1),(287,1),(338,1),(342,1),(345,1),(396,1)}
       151:{2,4,7}:{(111,1),(190,1),(193,1),(194,1),(346,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(114,1),(129,1),(185,1),(195,1),(196,1)}
       153:{2,6,7}:{(113,1),(115,1),(196,1),(197,1),(411,1)}
       154:{1,3,4,6}:{(114,1),(117,1),(131,1),(187,1),(195,1),(198,1),(216,1),(271,1),(281,1),(297,1),(342,1)}
       155:{2,5,6}:{(114,1),(115,1),(118,1),(196,1),(198,1),(199,1),(397,1),(411,1)}
       156:{1,6}:{(115,1),(116,1)}
       157:{1,2,5,7}:{(116,1),(120,1),(134,1),(190,1),(200,1),(201,1),(204,1),(410,1)}
       158:{2,4,5}:{(117,1),(118,1),(121,1),(198,1),(202,1),(203,1),(285,1),(355,1),(397,1)}
       159:{1,5}:{(118,1),(119,1)}
       160:{1,2,4,6}:{(119,1),(120,1),(123,1),(137,1),(193,1),(200,1),(204,1),(205,1),(207,1),(284,1),(287,1),(288,1),(350,1),(396,1)}
       161:{1,3,7}:{(120,1),(138,1),(194,1),(205,1)}
       162:{2,3,4}:{(121,1),(202,1),(206,1),(289,1),(300,1),(345,1),(355,1)}
       163:{1,4}:{(121,1),(122,1)}
       164:{1,2,5}:{(122,1),(123,1),(207,1),(285,1)}
       165:{3,5,7}:{(124,1),(125,1),(126,1),(208,1)}
       166:{2,4,6,7}:{(125,1),(127,1),(130,1),(208,1),(209,1),(213,1)}
       167:{2,5,6}:{(126,1),(127,1),(208,1),(210,1),(344,1)}
       168:{1,4,6}:{(127,1),(128,1),(133,1),(210,1),(211,1)}
       169:{2,4,5,7}:{(128,1),(134,1),(211,1),(212,1),(219,1),(220,1),(290,1),(294,1),(299,1),(356,1),(358,1)}
       170:{3,4,7}:{(129,1),(131,1),(213,1),(385,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(132,1),(196,1),(208,1),(213,1),(214,1),(277,1)}
       172:{1,3,6,7}:{(130,1),(133,1),(197,1),(209,1),(214,1),(215,1),(291,1)}
       173:{2,4,6}:{(131,1),(132,1),(135,1),(213,1),(216,1)}
       174:{1,3,5,6}:{(132,1),(133,1),(136,1),(199,1),(210,1),(214,1),(216,1),(217,1),(281,1),(292,1),(297,1)}
       175:{2,6}:{(133,1),(134,1)}
       176:{2,3,5,7}:{(134,1),(138,1),(201,1),(212,1),(218,1),(219,1),(221,1),(299,1)}
       177:{1,4,5}:{(135,1),(136,1),(216,1),(220,1),(287,1),(358,1)}
       178:{2,5}:{(136,1),(137,1)}
       179:{2,3,6}:{(137,1),(138,1),(205,1),(221,1),(289,1),(297,1)}
       180:{4,5,7}:{(139,1),(140,1),(222,1)}
       181:{3,4,6,7}:{(139,1),(141,1),(144,1),(222,1),(223,1),(227,1)}
       182:{3,5,6}:{(140,1),(141,1),(222,1),(224,1),(329,1)}
       183:{2,4,6}:{(141,1),(142,1),(146,1),(224,1),(225,1)}
       184:{1,4,5,7}:{(142,1),(147,1),(225,1),(226,1),(234,1),(244,1),(301,1),(306,1),(321,1)}
       185:{3,5,7}:{(143,1),(144,1),(145,1),(227,1),(330,1)}
       186:{2,3,6,7}:{(144,1),(146,1),(153,1),(223,1),(228,1),(229,1)}
       187:{3,4,6}:{(145,1),(148,1),(227,1),(230,1),(328,1)}
       188:{2,3,5,6}:{(145,1),(146,1),(149,1),(155,1),(224,1),(228,1),(230,1),(231,1),(240,1)}
       189:{1,3,6}:{(146,1),(147,1),(156,1),(225,1),(232,1),(304,1),(412,1)}
       190:{2,5,7}:{(147,1),(151,1),(232,1),(235,1)}
       191:{2,4,5}:{(148,1),(149,1),(230,1),(234,1),(262,1)}
       192:{1,3,5}:{(149,1),(150,1),(159,1),(234,1),(235,1),(312,1),(321,1),(366,1),(407,1)}
       193:{2,4,6}:{(150,1),(151,1),(232,1),(235,1),(236,1),(248,1),(313,1),(318,1)}
       194:{2,3,7}:{(151,1),(161,1),(236,1),(367,1)}
       195:{1,3,4,7}:{(152,1),(154,1),(170,1),(227,1),(237,1),(255,1),(306,1),(314,1),(330,1),(367,1)}
       196:{2,5,7}:{(152,1),(153,1),(155,1),(237,1),(238,1)}
       197:{1,6,7}:{(153,1),(156,1),(238,1),(412,1)}
       198:{2,4,6}:{(154,1),(155,1),(158,1),(237,1),(240,1),(241,1),(318,1)}
       199:{1,5,6}:{(155,1),(156,1),(159,1),(238,1),(241,1),(407,1),(412,1)}
       200:{1,2,6}:{(156,1),(157,1),(175,1),(232,1),(243,1),(412,1)}
       201:{1,3,5,7}:{(157,1),(161,1),(176,1),(233,1),(243,1),(244,1),(247,1),(321,1)}
       202:{2,3,5}:{(158,1),(162,1),(240,1),(245,1),(261,1),(312,1)}
       203:{1,4,5}:{(158,1),(159,1),(163,1),(241,1),(245,1),(380,1),(407,1)}
       204:{1,2,5}:{(159,1),(160,1),(178,1),(235,1),(247,1),(321,1),(407,1)}
       205:{1,3,6}:{(160,1),(161,1),(179,1),(236,1),(247,1),(249,1),(325,1)}
       206:{1,3,4}:{(162,1),(163,1),(245,1),(248,1),(249,1),(325,1),(380,1)}
       207:{1,2,4}:{(163,1),(164,1),(248,1),(249,1)}
       208:{2,5,7}:{(165,1),(166,1),(167,1),(250,1)}
       209:{1,4,6,7}:{(166,1),(168,1),(172,1),(250,1),(251,1),(255,1)}
       210:{1,5,6}:{(167,1),(168,1),(250,1),(252,1),(321,1)}
       211:{2,4,6}:{(168,1),(169,1),(175,1),(252,1),(253,1),(328,1)}
       212:{3,5,7}:{(169,1),(253,1),(254,1),(261,1),(329,1),(330,1)}
       213:{2,4,7}:{(170,1),(171,1),(173,1),(255,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(174,1),(238,1),(250,1),(255,1),(256,1),(314,1),(326,1),(330,1)}
       215:{2,6,7}:{(172,1),(175,1),(256,1)}
       216:{1,4,6}:{(173,1),(174,1),(177,1),(255,1),(258,1),(328,1)}
       217:{2,5,6}:{(174,1),(175,1),(178,1),(256,1),(258,1),(318,1)}
       218:{2,3,6}:{(175,1),(176,1),(243,1),(253,1),(260,1)}
       219:{2,4,7}:{(176,1),(244,1),(254,1),(260,1),(262,1)}
       220:{2,4,5}:{(177,1),(178,1),(258,1),(261,1),(262,1)}
       221:{2,3,5}:{(178,1),(179,1),(247,1),(261,1),(262,1)}
       222:{3,5,7}:{(180,1),(181,1),(182,1),(263,1)}
       223:{2,4,6,7}:{(181,1),(183,1),(186,1),(263,1),(264,1),(268,1)}
       224:{2,5,6}:{(182,1),(183,1),(263,1),(265,1),(299,1)}
       225:{1,4,6}:{(183,1),(184,1),(189,1),(265,1),(266,1)}
       226:{2,4,5,7}:{(184,1),(190,1),(266,1),(267,1),(274,1),(275,1),(335,1),(339,1),(344,1),(385,1),(387,1)}
       227:{3,4,7}:{(185,1),(187,1),(268,1),(356,1)}
       228:{2,3,5,7}:{(185,1),(186,1),(188,1),(196,1),(263,1),(268,1),(269,1),(277,1)}
       229:{1,3,6,7}:{(186,1),(189,1),(197,1),(264,1),(269,1),(270,1),(336,1)}
       230:{2,4,6}:{(187,1),(188,1),(191,1),(268,1),(271,1)}
       231:{1,3,5,6}:{(188,1),(189,1),(192,1),(199,1),(265,1),(269,1),(271,1),(272,1),(281,1),(337,1),(342,1)}
       232:{2,6}:{(189,1),(190,1)}
       233:{2,3,5,7}:{(190,1),(194,1),(201,1),(267,1),(273,1),(274,1),(276,1),(344,1)}
       234:{1,4,5}:{(191,1),(192,1),(271,1),(275,1),(287,1),(387,1)}
       235:{2,5}:{(192,1),(193,1)}
       236:{2,3,6}:{(193,1),(194,1),(205,1),(276,1),(289,1),(342,1)}
       237:{2,4,7}:{(195,1),(196,1),(198,1),(277,1),(278,1),(346,1)}
       238:{1,5,7}:{(196,1),(197,1),(199,1),(278,1)}
       239:{1,2,6,7}:{(197,1),(200,1),(215,1),(270,1),(279,1),(280,1),(411,1)}
       240:{2,3,6}:{(198,1),(202,1),(277,1),(281,1),(297,1),(342,1)}
       241:{1,4,6}:{(198,1),(199,1),(203,1),(278,1),(281,1)}
       242:{1,2,5,6}:{(199,1),(200,1),(204,1),(217,1),(272,1),(279,1),(282,1),(283,1),(350,1),(397,1),(411,1)}
       243:{1,3,6}:{(200,1),(201,1),(218,1),(273,1),(284,1)}
       244:{1,4,7}:{(201,1),(219,1),(274,1),(284,1),(287,1)}
       245:{1,3,5}:{(202,1),(203,1),(206,1),(281,1),(285,1)}
       246:{1,2,4,5}:{(203,1),(204,1),(207,1),(220,1),(275,1),(282,1),(285,1),(286,1),(287,1),(353,1),(355,1),(397,1)}
       247:{1,3,5}:{(204,1),(205,1),(221,1),(276,1),(287,1)}
       248:{2,4}:{(206,1),(285,1),(289,1)}
       249:{1,3}:{(207,1),(289,1)}
       250:{1,5,7}:{(208,1),(209,1),(210,1),(290,1)}
       251:{2,4,6,7}:{(209,1),(211,1),(215,1),(290,1),(291,1),(294,1),(356,1)}
       252:{2,5,6}:{(210,1),(211,1),(290,1),(292,1),(299,1)}
       253:{3,6}:{(211,1),(212,1)}
       254:{3,4,7}:{(212,1),(219,1),(293,1),(300,1),(356,1)}
       255:{1,4,7}:{(213,1),(214,1),(216,1),(294,1),(356,1)}
       256:{2,5,7}:{(214,1),(215,1),(217,1),(294,1),(346,1)}
       257:{2,3,6,7}:{(215,1),(218,1),(280,1),(291,1),(295,1),(296,1),(399,1),(411,1)}
       258:{2,4,6}:{(216,1),(217,1),(220,1),(294,1),(297,1)}
       259:{2,3,5,6}:{(217,1),(218,1),(221,1),(283,1),(292,1),(295,1),(297,1),(298,1),(299,1),(351,1),(361,1),(362,1),(397,1),(399,1),(411,1)}
       260:{2,4,6}:{(218,1),(219,1),(284,1),(293,1),(299,1)}
       261:{3,5}:{(220,1),(297,1),(300,1)}
       262:{2,4}:{(221,1),(287,1),(300,1)}
       263:{2,5,7}:{(222,1),(223,1),(224,1),(301,1)}
       264:{1,4,6,7}:{(223,1),(225,1),(229,1),(301,1),(302,1),(306,1)}
       265:{1,5,6}:{(224,1),(225,1),(301,1),(303,1),(321,1)}
       266:{2,4,6}:{(225,1),(226,1),(232,1),(303,1),(304,1),(365,1)}
       267:{3,5,7}:{(226,1),(304,1),(305,1),(312,1),(366,1),(367,1)}
       268:{2,4,7}:{(227,1),(228,1),(230,1),(306,1)}
       269:{1,3,5,7}:{(228,1),(229,1),(231,1),(238,1),(301,1),(306,1),(307,1),(314,1),(363,1),(367,1)}
       270:{2,6,7}:{(229,1),(232,1),(307,1)}
       271:{1,4,6}:{(230,1),(231,1),(234,1),(306,1),(309,1),(365,1)}
       272:{2,5,6}:{(231,1),(232,1),(235,1),(307,1),(309,1),(318,1)}
       273:{2,3,6}:{(232,1),(233,1),(243,1),(304,1),(311,1)}
       274:{2,4,7}:{(233,1),(244,1),(305,1),(311,1),(313,1)}
       275:{2,4,5}:{(234,1),(235,1),(309,1),(312,1),(313,1)}
       276:{2,3,5}:{(235,1),(236,1),(247,1),(312,1),(313,1)}
       277:{2,3,7}:{(237,1),(240,1),(314,1),(330,1),(367,1)}
       278:{1,4,7}:{(237,1),(238,1),(241,1),(314,1)}
       279:{1,2,5,7}:{(238,1),(239,1),(242,1),(256,1),(307,1),(315,1),(316,1),(372,1),(405,1)}
       280:{1,3,6,7}:{(239,1),(243,1),(257,1),(308,1),(316,1),(317,1),(406,1),(412,1)}
       281:{1,3,6}:{(240,1),(241,1),(245,1),(314,1),(318,1)}
       282:{1,2,4,6}:{(241,1),(242,1),(246,1),(258,1),(309,1),(315,1),(318,1),(319,1),(320,1),(378,1)}
       283:{1,3,5,6}:{(242,1),(243,1),(247,1),(259,1),(310,1),(316,1),(319,1),(320,1),(321,1),(376,1),(377,1),(379,1),(406,1),(407,1),(412,1)}
       284:{1,4,6}:{(243,1),(244,1),(260,1),(311,1),(321,1)}
       285:{2,5}:{(245,1),(248,1),(318,1)}
       286:{1,3,5}:{(246,1),(249,1),(261,1),(312,1),(319,1),(323,1),(324,1)}
       287:{1,4}:{(247,1),(262,1),(313,1)}
       288:{1,2,4}:{(248,1),(322,1),(325,1),(380,1)}
       289:{2,3}:{(248,1),(249,1),(325,1)}
       290:{2,5,7}:{(250,1),(251,1),(252,1),(326,1)}
       291:{3,6,7}:{(251,1),(253,1),(326,1),(330,1)}
       292:{3,5,6}:{(252,1),(253,1),(326,1),(328,1),(329,1)}
       293:{3,4,6}:{(253,1),(254,1),(260,1),(328,1),(329,1)}
       294:{2,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       295:{2,3,5,7}:{(256,1),(257,1),(259,1),(316,1),(326,1),(330,1),(331,1),(332,1),(373,1),(383,1),(405,1)}
       296:{2,4,6,7}:{(257,1),(260,1),(317,1),(327,1),(331,1),(332,1),(384,1)}
       297:{3,6}:{(258,1),(261,1),(330,1)}
       298:{2,4,6}:{(259,1),(262,1),(320,1),(328,1),(331,1),(333,1),(334,1)}
       299:{2,5}:{(260,1),(321,1),(329,1)}
       300:{3,4}:{(261,1),(262,1)}
       301:{1,5,7}:{(263,1),(264,1),(265,1),(335,1)}
       302:{2,4,6,7}:{(264,1),(266,1),(270,1),(335,1),(336,1),(339,1),(385,1)}
       303:{2,5,6}:{(265,1),(266,1),(335,1),(337,1),(344,1)}
       304:{3,6}:{(266,1),(267,1)}
       305:{3,4,7}:{(267,1),(274,1),(338,1),(345,1),(385,1)}
       306:{1,4,7}:{(268,1),(269,1),(271,1),(339,1),(385,1)}
       307:{2,5,7}:{(269,1),(270,1),(272,1),(339,1),(346,1)}
       308:{2,3,6,7}:{(270,1),(273,1),(280,1),(336,1),(340,1),(341,1),(409,1),(411,1)}
       309:{2,4,6}:{(271,1),(272,1),(275,1),(339,1),(342,1)}
       310:{2,3,5,6}:{(272,1),(273,1),(276,1),(283,1),(337,1),(340,1),(342,1),(343,1),(344,1),(351,1),(390,1),(391,1),(397,1),(409,1),(411,1)}
       311:{2,4,6}:{(273,1),(274,1),(284,1),(338,1),(344,1)}
       312:{3,5}:{(275,1),(342,1),(345,1)}
       313:{2,4}:{(276,1),(287,1),(345,1)}
       314:{1,3,7}:{(277,1),(278,1),(281,1),(346,1)}
       315:{1,2,4,7}:{(278,1),(279,1),(282,1),(294,1),(339,1),(346,1),(347,1),(348,1),(393,1)}
       316:{1,3,5,7}:{(279,1),(280,1),(283,1),(295,1),(340,1),(347,1),(348,1),(349,1),(392,1),(410,1)}
       317:{1,4,6,7}:{(280,1),(284,1),(296,1),(341,1),(348,1),(349,1),(395,1)}
       318:{2,6}:{(281,1),(285,1),(346,1)}
       319:{1,3,6}:{(282,1),(286,1),(297,1),(342,1),(347,1),(351,1)}
       320:{1,4,6}:{(283,1),(287,1),(298,1),(343,1),(348,1),(353,1)}
       321:{1,5}:{(284,1),(299,1),(344,1)}
       322:{1,2,5}:{(285,1),(288,1),(350,1),(354,1)}
       323:{2,3,5}:{(285,1),(286,1),(289,1),(351,1),(354,1),(355,1),(397,1)}
       324:{1,3,4}:{(286,1),(287,1),(300,1),(345,1),(355,1)}
       325:{1,3}:{(288,1),(289,1)}
       326:{3,5,7}:{(290,1),(291,1),(292,1),(356,1)}
       327:{3,4,6,7}:{(291,1),(293,1),(296,1),(356,1),(357,1),(359,1),(398,1),(399,1)}
       328:{4,6}:{(292,1),(356,1),(358,1)}
       329:{3,5}:{(293,1),(299,1),(358,1)}
       330:{3,7}:{(294,1),(297,1)}
       331:{2,4,7}:{(295,1),(298,1),(348,1),(356,1),(359,1)}
       332:{2,5,7}:{(296,1),(299,1),(349,1),(357,1),(361,1)}
       333:{3,4,6}:{(297,1),(298,1),(300,1),(359,1),(362,1),(399,1)}
       334:{2,4,5}:{(298,1),(299,1),(353,1),(358,1),(362,1),(397,1)}
       335:{2,5,7}:{(301,1),(302,1),(303,1),(363,1)}
       336:{3,6,7}:{(302,1),(304,1),(363,1),(367,1)}
       337:{3,5,6}:{(303,1),(304,1),(363,1),(365,1),(366,1)}
       338:{3,4,6}:{(304,1),(305,1),(311,1),(365,1),(366,1)}
       339:{2,4,7}:{(306,1),(307,1),(309,1),(367,1)}
       340:{2,3,5,7}:{(307,1),(308,1),(310,1),(316,1),(363,1),(367,1),(368,1),(369,1),(373,1),(402,1),(405,1)}
       341:{2,4,6,7}:{(308,1),(311,1),(317,1),(364,1),(368,1),(369,1),(403,1)}
       342:{3,6}:{(309,1),(312,1),(367,1)}
       343:{2,4,6}:{(310,1),(313,1),(320,1),(365,1),(368,1),(370,1),(371,1)}
       344:{2,5}:{(311,1),(321,1),(366,1)}
       345:{3,4}:{(312,1),(313,1)}
       346:{2,7}:{(314,1),(318,1)}
       347:{1,3,7}:{(315,1),(319,1),(330,1),(367,1),(373,1)}
       348:{1,4,7}:{(316,1),(320,1),(331,1),(368,1)}
       349:{1,5,7}:{(317,1),(321,1),(332,1),(369,1),(376,1)}
       350:{1,2,6}:{(318,1),(322,1),(372,1),(377,1)}
       351:{2,3,6}:{(318,1),(319,1),(323,1),(373,1),(377,1),(378,1)}
       352:{1,3,4,6}:{(319,1),(320,1),(324,1),(333,1),(370,1),(374,1),(378,1),(379,1),(406,1)}
       353:{1,4,5}:{(320,1),(321,1),(334,1),(371,1),(379,1),(407,1)}
       354:{1,3,5}:{(322,1),(323,1),(325,1),(377,1),(380,1),(407,1)}
       355:{2,4}:{(323,1),(324,1),(380,1)}
       356:{4,7}:{(326,1),(328,1)}
       357:{3,5,7}:{(327,1),(329,1),(332,1),(381,1),(382,1)}
       358:{4,5}:{(328,1),(329,1)}
       359:{3,4,7}:{(330,1),(331,1),(333,1),(383,1)}
       360:{2,4,5,7}:{(331,1),(332,1),(334,1),(375,1),(381,1),(383,1),(384,1),(405,1)}
       361:{2,5,6}:{(332,1),(376,1),(382,1),(384,1)}
       362:{3,5}:{(333,1),(334,1)}
       363:{3,5,7}:{(335,1),(336,1),(337,1),(385,1)}
       364:{3,4,6,7}:{(336,1),(338,1),(341,1),(385,1),(386,1),(388,1),(408,1),(409,1)}
       365:{4,6}:{(337,1),(385,1),(387,1)}
       366:{3,5}:{(338,1),(344,1),(387,1)}
       367:{3,7}:{(339,1),(342,1)}
       368:{2,4,7}:{(340,1),(343,1),(348,1),(385,1),(388,1)}
       369:{2,5,7}:{(341,1),(344,1),(349,1),(386,1),(390,1)}
       370:{3,4,6}:{(342,1),(343,1),(345,1),(388,1),(391,1),(409,1)}
       371:{2,4,5}:{(343,1),(344,1),(353,1),(387,1),(391,1),(397,1)}
       372:{1,2,7}:{(346,1),(350,1),(392,1)}
       373:{2,3,7}:{(346,1),(347,1),(351,1),(392,1),(393,1)}
       374:{1,3,4,7}:{(347,1),(348,1),(352,1),(359,1),(388,1),(393,1),(394,1)}
       375:{1,4,5,7}:{(348,1),(349,1),(353,1),(360,1),(389,1),(394,1),(395,1),(410,1)}
       376:{1,5,6}:{(349,1),(361,1),(390,1),(395,1)}
       377:{1,3,6}:{(350,1),(351,1),(354,1),(392,1),(396,1)}
       378:{2,4,6}:{(351,1),(352,1),(355,1),(393,1),(396,1),(397,1),(411,1)}
       379:{1,3,5}:{(352,1),(353,1),(362,1),(391,1),(397,1)}
       380:{1,4}:{(354,1),(355,1)}
       381:{4,5,7}:{(356,1),(357,1),(358,1),(398,1)}
       382:{3,5,6}:{(357,1),(361,1),(398,1),(399,1)}
       383:{3,5,7}:{(359,1),(360,1),(362,1),(399,1)}
       384:{2,4,6}:{(360,1),(361,1),(395,1),(398,1),(399,1),(411,1)}
       385:{4,7}:{(363,1),(365,1)}
       386:{3,5,7}:{(364,1),(366,1),(369,1),(400,1),(401,1)}
       387:{4,5}:{(365,1),(366,1)}
       388:{3,4,7}:{(367,1),(368,1),(370,1),(402,1)}
       389:{2,4,5,7}:{(368,1),(369,1),(371,1),(375,1),(400,1),(402,1),(403,1),(405,1)}
       390:{2,5,6}:{(369,1),(376,1),(401,1),(403,1)}
       391:{3,5}:{(370,1),(371,1)}
       392:{1,3,7}:{(372,1),(373,1),(377,1),(404,1)}
       393:{2,4,7}:{(373,1),(374,1),(378,1),(404,1),(405,1)}
       394:{1,3,5,7}:{(374,1),(375,1),(379,1),(383,1),(402,1),(405,1),(406,1)}
       395:{1,4,6}:{(375,1),(376,1),(384,1),(403,1),(406,1),(412,1)}
       396:{1,4,6}:{(377,1),(378,1),(380,1),(404,1),(407,1),(412,1)}
       397:{2,5}:{(378,1),(379,1),(407,1)}
       398:{4,6}:{(381,1),(382,1)}
       399:{3,6}:{(383,1),(384,1)}
       400:{4,5,7}:{(385,1),(386,1),(387,1),(408,1)}
       401:{3,5,6}:{(386,1),(390,1),(408,1),(409,1)}
       402:{3,5,7}:{(388,1),(389,1),(391,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(395,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(392,1),(393,1),(396,1),(410,1)}
       405:{2,5,7}:{(393,1),(394,1),(397,1),(410,1),(411,1)}
       406:{1,3,6}:{(394,1),(395,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(396,1),(397,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 448 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 449 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 450 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(14,1),(19,1),(165,1)}
         1:{1,3,7}:{(0,1),(5,1),(8,1),(171,1),(173,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(28,1),(112,1),(152,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(36,1),(37,1)}
         4:{1,2,7}:{(11,1),(13,1),(161,1),(187,1)}
         5:{2,3,7}:{(1,1),(11,1),(14,1),(16,1),(141,1),(161,1),(179,1)}
         6:{1,3,4,7}:{(1,1),(14,1),(17,1),(18,1),(19,1),(49,1),(100,1),(141,1),(166,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(15,1),(19,1),(20,1),(21,1),(56,1),(88,1),(123,1),(136,1)}
         8:{1,3,6}:{(1,1),(3,1),(16,1),(21,1),(162,1)}
         9:{1,2,6}:{(2,1),(20,1),(47,1)}
        10:{1,2,5}:{(3,1),(21,1),(48,1),(56,1),(138,1)}
        11:{1,3,7}:{(4,1),(5,1),(22,1),(24,1),(184,1)}
        12:{1,2,5,7}:{(4,1),(23,1),(25,1),(26,1),(27,1),(65,1),(101,1)}
        13:{1,2,6}:{(4,1),(24,1),(27,1),(148,1)}
        14:{2,4,7}:{(5,1),(6,1),(22,1),(28,1),(29,1),(174,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(31,1),(32,1),(63,1),(67,1),(73,1),(101,1),(114,1)}
        16:{2,3,6}:{(5,1),(8,1),(24,1),(29,1),(32,1),(121,1),(148,1)}
        17:{1,3,5,7}:{(6,1),(28,1),(33,1),(34,1),(35,1),(67,1),(172,1),(181,1)}
        18:{1,3,4,6}:{(6,1),(8,1),(29,1),(34,1),(35,1),(36,1),(37,1),(72,1),(74,1),(78,1),(121,1)}
        19:{1,4,7}:{(7,1),(30,1),(36,1),(37,1),(153,1)}
        20:{1,3,6}:{(7,1),(9,1),(31,1),(36,1),(142,1)}
        21:{1,3,5}:{(8,1),(10,1),(32,1),(37,1),(116,1),(149,1)}
        22:{1,4,7}:{(11,1),(14,1),(38,1),(39,1),(180,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(15,1),(38,1),(40,1),(41,1),(42,1),(43,1),(86,1),(90,1)}
        24:{1,3,6}:{(11,1),(13,1),(16,1),(39,1),(42,1)}
        25:{1,2,4,7}:{(12,1),(40,1),(43,1),(44,1),(45,1),(84,1)}
        26:{1,2,6}:{(12,1),(41,1),(124,1)}
        27:{1,2,5}:{(13,1),(42,1),(45,1),(130,1)}
        28:{2,5,7}:{(14,1),(17,1),(38,1),(47,1),(48,1),(178,1),(185,1)}
        29:{2,4,6}:{(14,1),(16,1),(18,1),(39,1),(47,1),(48,1),(51,1)}
        30:{2,4,7}:{(15,1),(19,1),(40,1),(49,1),(50,1),(51,1),(137,1)}
        31:{2,3,6}:{(15,1),(20,1),(41,1),(47,1),(50,1),(92,1),(124,1)}
        32:{2,3,5}:{(16,1),(21,1),(42,1),(48,1),(51,1),(91,1),(97,1),(130,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(46,1),(52,1),(55,1),(56,1),(99,1),(100,1),(123,1),(163,1),(175,1)}
        34:{1,3,6}:{(17,1),(47,1),(52,1),(92,1)}
        35:{1,3,5}:{(18,1),(48,1),(55,1),(56,1),(97,1),(98,1)}
        36:{1,4,6}:{(19,1),(20,1),(50,1),(56,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,5,7}:{(22,1),(28,1),(58,1),(59,1),(183,1),(188,1)}
        39:{1,4,6}:{(22,1),(24,1),(29,1),(58,1),(59,1),(62,1)}
        40:{1,4,7}:{(23,1),(30,1),(61,1),(62,1),(115,1)}
        41:{1,3,6}:{(23,1),(26,1),(31,1),(58,1),(61,1)}
        42:{1,3,5}:{(24,1),(27,1),(32,1),(59,1),(62,1),(66,1)}
        43:{1,3,7}:{(25,1),(63,1),(64,1),(66,1),(188,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(61,1),(64,1),(65,1),(109,1),(115,1)}
        45:{1,2,4}:{(27,1),(62,1),(66,1),(111,1)}
        46:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(67,1),(68,1),(71,1),(73,1),(101,1),(119,1),(120,1),(122,1),(151,1),(155,1),(169,1)}
        47:{2,6}:{(28,1),(34,1),(58,1)}
        48:{2,5}:{(29,1),(35,1),(59,1)}
        49:{3,4,7}:{(30,1),(67,1),(72,1),(74,1),(154,1),(155,1)}
        50:{2,4,6}:{(30,1),(31,1),(36,1),(61,1),(72,1),(73,1)}
        51:{2,4}:{(32,1),(37,1),(62,1),(74,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(76,1),(142,1)}
        53:{1,3,6,7}:{(34,1),(69,1),(75,1),(77,1),(117,1),(181,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(70,1),(76,1),(77,1),(78,1),(118,1),(121,1)}
        55:{1,4,5}:{(35,1),(37,1),(71,1),(78,1),(122,1),(149,1)}
        56:{1,5}:{(36,1),(73,1)}
        57:{1,4,5,7}:{(38,1),(40,1),(46,1),(79,1),(80,1),(83,1),(86,1),(127,1),(128,1),(133,1),(160,1)}
        58:{1,6}:{(38,1),(47,1)}
        59:{1,5}:{(39,1),(48,1)}
        60:{1,3,4,7}:{(40,1),(43,1),(49,1),(79,1),(84,1),(85,1),(87,1),(160,1),(177,1)}
        61:{1,4,6}:{(40,1),(41,1),(50,1),(86,1)}
        62:{1,4}:{(42,1),(51,1)}
        63:{2,3,7}:{(43,1),(84,1),(88,1),(89,1),(91,1),(177,1),(185,1)}
        64:{1,3,6}:{(43,1),(44,1),(89,1),(90,1),(186,1)}
        65:{1,2,5}:{(44,1),(86,1),(90,1),(132,1),(187,1)}
        66:{1,3}:{(45,1),(91,1)}
        67:{3,5,7}:{(46,1),(49,1),(92,1),(97,1),(98,1),(141,1),(164,1),(177,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(92,1),(94,1),(124,1),(140,1)}
        69:{2,6,7}:{(47,1),(53,1),(81,1),(95,1),(185,1)}
        70:{2,5,6}:{(47,1),(48,1),(54,1),(82,1),(95,1),(96,1)}
        71:{2,4,5}:{(48,1),(51,1),(55,1),(83,1),(96,1),(97,1),(130,1)}
        72:{3,4,6}:{(49,1),(50,1),(92,1),(98,1),(140,1)}
        73:{2,5}:{(50,1),(56,1),(86,1),(98,1)}
        74:{3,4}:{(51,1),(97,1)}
        75:{1,4,6,7}:{(52,1),(53,1),(93,1),(99,1),(100,1),(156,1),(175,1)}
        76:{1,5,6}:{(52,1),(56,1),(94,1),(99,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(95,1),(99,1),(100,1),(139,1),(141,1)}
        78:{1,4,6}:{(54,1),(55,1),(96,1),(100,1),(140,1),(162,1)}
        79:{1,3,5,7}:{(57,1),(60,1),(67,1),(101,1),(102,1),(107,1),(110,1),(147,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(102,1),(104,1)}
        81:{1,6,7}:{(58,1),(69,1),(105,1),(188,1)}
        82:{1,5,6}:{(58,1),(59,1),(70,1),(105,1),(106,1)}
        83:{1,4,5}:{(59,1),(62,1),(71,1),(106,1),(107,1)}
        84:{2,4,7}:{(60,1),(63,1),(101,1),(108,1),(109,1),(111,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(64,1),(72,1),(102,1),(109,1),(110,1),(115,1),(146,1),(154,1),(170,1)}
        86:{1,5}:{(61,1),(73,1)}
        87:{1,3,4}:{(62,1),(66,1),(74,1),(107,1),(111,1)}
        88:{1,3,7}:{(63,1),(108,1),(112,1),(113,1),(116,1)}
        89:{2,3,6}:{(63,1),(64,1),(109,1),(113,1),(114,1),(170,1),(182,1)}
        90:{1,3,5}:{(64,1),(65,1),(114,1),(115,1),(183,1),(184,1)}
        91:{2,3}:{(66,1),(111,1),(116,1)}
        92:{3,6}:{(67,1),(68,1)}
        93:{2,4,6,7}:{(68,1),(69,1),(75,1),(103,1),(117,1),(119,1),(120,1),(143,1),(155,1),(169,1)}
        94:{2,5,6}:{(68,1),(73,1),(76,1),(104,1),(118,1),(119,1)}
        95:{2,5,7}:{(69,1),(70,1),(77,1),(105,1),(120,1)}
        96:{2,4,6}:{(70,1),(71,1),(78,1),(106,1),(120,1),(121,1),(148,1)}
        97:{3,5}:{(71,1),(74,1),(121,1)}
        98:{3,5}:{(72,1),(73,1),(122,1)}
        99:{1,5,7}:{(75,1),(76,1),(119,1)}
       100:{1,4,7}:{(77,1),(78,1),(120,1),(155,1),(171,1)}
       101:{2,5,7}:{(79,1),(84,1),(123,1),(124,1),(130,1),(132,1),(161,1)}
       102:{1,3,6}:{(79,1),(80,1),(92,1),(124,1)}
       103:{1,4,6,7}:{(80,1),(81,1),(93,1),(125,1),(127,1),(128,1),(160,1)}
       104:{1,5,6}:{(80,1),(86,1),(94,1),(127,1)}
       105:{1,5,7}:{(81,1),(82,1),(95,1),(128,1)}
       106:{1,4,6}:{(82,1),(83,1),(96,1),(128,1),(129,1)}
       107:{1,3,5}:{(83,1),(87,1),(97,1),(129,1),(130,1)}
       108:{1,4,7}:{(84,1),(88,1),(123,1),(131,1),(134,1)}
       109:{2,4,6}:{(84,1),(85,1),(89,1),(124,1),(131,1),(132,1),(137,1)}
       110:{1,3,5}:{(85,1),(86,1),(98,1),(132,1),(133,1),(164,1)}
       111:{2,4}:{(87,1),(91,1),(130,1),(134,1)}
       112:{1,2,7}:{(88,1),(135,1),(138,1),(185,1)}
       113:{1,3,6}:{(88,1),(89,1),(131,1),(135,1),(136,1)}
       114:{2,3,5}:{(89,1),(90,1),(132,1),(136,1),(137,1),(164,1),(178,1),(179,1)}
       115:{1,4}:{(90,1),(137,1)}
       116:{1,3}:{(91,1),(134,1),(138,1)}
       117:{3,6,7}:{(92,1),(93,1),(139,1),(141,1),(177,1)}
       118:{3,5,6}:{(92,1),(94,1),(98,1),(139,1),(140,1)}
       119:{2,5,7}:{(93,1),(94,1),(99,1),(127,1),(139,1)}
       120:{2,4,7}:{(95,1),(96,1),(100,1),(128,1),(141,1),(161,1)}
       121:{3,6}:{(96,1),(97,1),(141,1)}
       122:{4,5}:{(98,1),(140,1)}
       123:{1,5,7}:{(101,1),(108,1),(142,1),(149,1),(150,1),(171,1)}
       124:{2,6}:{(101,1),(102,1),(142,1)}
       125:{1,3,6,7}:{(102,1),(103,1),(117,1),(143,1),(145,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(104,1),(110,1),(118,1),(144,1),(145,1),(146,1),(170,1)}
       127:{1,5,7}:{(103,1),(104,1),(119,1)}
       128:{1,4,7}:{(105,1),(106,1),(120,1),(147,1)}
       129:{1,3,6}:{(106,1),(107,1),(121,1),(147,1),(148,1)}
       130:{2,5}:{(107,1),(111,1),(148,1),(149,1)}
       131:{1,4,6}:{(108,1),(109,1),(113,1),(142,1),(150,1),(153,1)}
       132:{2,5}:{(109,1),(110,1),(150,1)}
       133:{1,4,5}:{(110,1),(115,1),(122,1),(146,1),(151,1),(183,1)}
       134:{1,4}:{(111,1),(116,1),(149,1)}
       135:{1,2,6}:{(112,1),(113,1),(152,1),(182,1)}
       136:{1,3,5}:{(113,1),(114,1),(150,1),(152,1),(153,1),(173,1)}
       137:{2,4}:{(114,1),(115,1),(153,1),(154,1)}
       138:{1,2}:{(116,1)}
       139:{3,5,7}:{(117,1),(118,1),(119,1),(155,1)}
       140:{4,6}:{(118,1),(122,1),(155,1)}
       141:{3,7}:{(120,1),(121,1)}
       142:{1,6}:{(123,1),(124,1)}
       143:{2,6,7}:{(124,1),(125,1),(156,1),(158,1),(161,1)}
       144:{2,5,6}:{(124,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(127,1),(139,1),(158,1),(160,1),(177,1)}
       146:{1,4,6}:{(126,1),(133,1),(140,1),(159,1),(160,1),(186,1)}
       147:{1,3,7}:{(128,1),(129,1),(141,1),(161,1)}
       148:{2,6}:{(129,1),(130,1),(161,1),(162,1)}
       149:{1,5}:{(130,1),(134,1),(162,1)}
       150:{1,5}:{(131,1),(132,1)}
       151:{2,4,5}:{(132,1),(133,1),(137,1),(159,1),(163,1),(164,1),(178,1)}
       152:{1,2,5}:{(135,1),(136,1),(165,1),(178,1)}
       153:{1,4}:{(136,1),(137,1)}
       154:{3,4}:{(137,1),(164,1)}
       155:{4,7}:{(139,1),(140,1)}
       156:{1,6,7}:{(142,1),(143,1),(167,1),(171,1)}
       157:{1,5,6}:{(142,1),(144,1),(150,1),(167,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(145,1),(167,1),(169,1)}
       159:{2,4,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1),(182,1)}
       160:{1,4,7}:{(145,1),(146,1),(155,1),(169,1),(188,1)}
       161:{2,7}:{(147,1),(148,1),(171,1)}
       162:{1,6}:{(148,1),(149,1),(171,1)}
       163:{1,4,5}:{(150,1),(151,1),(153,1),(168,1),(172,1)}
       164:{3,5}:{(151,1),(154,1),(170,1)}
       165:{1,2,4}:{(152,1),(153,1),(173,1),(174,1)}
       166:{1,3,4}:{(153,1),(154,1),(172,1),(173,1),(174,1)}
       167:{1,5,7}:{(156,1),(157,1),(158,1),(175,1)}
       168:{1,4,6}:{(157,1),(159,1),(163,1),(175,1),(176,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1),(175,1),(177,1),(185,1)}
       170:{3,6}:{(159,1),(164,1),(177,1)}
       171:{1,7}:{(161,1),(162,1)}
       172:{1,3,5}:{(163,1),(164,1),(166,1),(176,1),(178,1)}
       173:{1,3}:{(165,1),(179,1)}
       174:{2,4}:{(166,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(167,1),(168,1),(169,1),(181,1)}
       176:{1,3,6}:{(168,1),(170,1),(172,1),(181,1),(182,1)}
       177:{3,7}:{(169,1),(170,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(176,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 451 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 452 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 453 :   0:{1,4,5,6}:{(1,1),(2,1),(3,1),(50,1),(57,1),(138,1),(204,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(28,1),(32,1),(87,1),(160,1),(161,1),(169,1),(252,1),(263,1),(349,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(178,1),(273,1)}
         3:{1,4,5,7}:{(0,1),(7,1),(10,1),(11,1),(79,1),(88,1),(168,1)}
         4:{1,3,4,5}:{(8,1),(12,1),(31,1),(45,1),(82,1),(105,1),(157,1),(178,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(14,1),(21,1),(57,1),(194,1),(204,1),(290,1)}
         6:{3,5,6}:{(1,1),(15,1),(17,1),(123,1),(209,1),(310,1)}
         7:{2,4,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(22,1),(51,1),(58,1),(124,1),(126,1),(127,1),(212,1),(312,1)}
         8:{1,3,4,6}:{(2,1),(4,1),(15,1),(19,1),(20,1),(57,1),(65,1),(123,1)}
         9:{2,5,6}:{(2,1),(19,1),(21,1),(22,1),(221,1),(321,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1),(23,1)}
        11:{1,4,6,7}:{(3,1),(18,1),(23,1),(24,1),(114,1),(226,1)}
        12:{2,4,5}:{(4,1),(19,1),(25,1),(26,1),(72,1),(142,1),(221,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(27,1),(28,1),(29,1),(239,1),(335,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(29,1),(30,1),(43,1),(88,1),(168,1)}
        15:{3,4,6}:{(6,1),(31,1),(32,1),(33,1),(349,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(28,1),(32,1),(34,1),(35,1),(39,1),(75,1),(81,1),(156,1),(160,1)}
        17:{3,5,7}:{(6,1),(7,1),(33,1),(36,1),(166,1)}
        18:{2,4,6,7}:{(7,1),(11,1),(30,1),(36,1),(37,1),(44,1),(80,1),(94,1),(263,1)}
        19:{2,4,6}:{(8,1),(9,1),(12,1),(39,1),(40,1),(41,1),(96,1)}
        20:{1,3,4,7}:{(8,1),(10,1),(33,1),(41,1),(88,1),(97,1),(166,1)}
        21:{1,5,6}:{(9,1),(40,1),(43,1),(268,1),(363,1)}
        22:{2,5,7}:{(9,1),(10,1),(41,1),(43,1),(44,1)}
        23:{1,3,6,7}:{(10,1),(11,1),(36,1),(44,1),(273,1)}
        24:{1,5,6,7}:{(11,1),(37,1),(168,1),(275,1)}
        25:{2,3,5}:{(12,1),(38,1),(39,1),(45,1),(157,1)}
        26:{1,4,5}:{(12,1),(40,1),(45,1),(183,1),(268,1)}
        27:{1,3,4,6}:{(13,1),(15,1),(47,1),(48,1),(49,1),(57,1),(108,1),(123,1)}
        28:{2,5,6}:{(13,1),(48,1),(50,1),(51,1),(285,1),(374,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(17,1),(49,1),(51,1),(52,1)}
        30:{1,4,6,7}:{(14,1),(18,1),(52,1),(53,1),(71,1),(290,1)}
        31:{3,4,5}:{(15,1),(54,1),(209,1),(377,1),(389,1)}
        32:{2,4,6}:{(15,1),(16,1),(54,1),(57,1),(58,1)}
        33:{3,4,7}:{(15,1),(17,1),(58,1),(312,1)}
        34:{1,3,5,6}:{(16,1),(21,1),(50,1),(57,1),(60,1),(61,1),(65,1),(108,1),(115,1),(123,1),(200,1),(204,1),(302,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(22,1),(51,1),(58,1),(61,1),(62,1),(66,1),(109,1),(126,1)}
        36:{3,6,7}:{(17,1),(18,1),(310,1)}
        37:{2,5,6,7}:{(18,1),(24,1),(53,1),(63,1),(126,1),(212,1),(314,1)}
        38:{2,3,4}:{(25,1),(64,1),(142,1),(201,1),(216,1)}
        39:{2,3,6}:{(19,1),(25,1),(65,1),(66,1),(123,1)}
        40:{1,4,6}:{(19,1),(21,1),(26,1),(65,1),(68,1)}
        41:{2,4,7}:{(19,1),(20,1),(22,1),(66,1),(68,1),(135,1)}
        42:{1,2,5,6}:{(21,1),(60,1),(67,1),(69,1),(70,1),(189,1),(197,1),(221,1),(295,1),(318,1),(321,1),(390,1)}
        43:{1,5,7}:{(21,1),(22,1),(68,1),(71,1)}
        44:{2,6,7}:{(22,1),(23,1),(71,1),(321,1)}
        45:{1,3,5}:{(25,1),(26,1),(64,1),(65,1),(72,1)}
        46:{1,2,4,5}:{(26,1),(67,1),(72,1),(73,1),(117,1),(131,1),(138,1),(142,1),(197,1),(221,1),(228,1),(293,1),(315,1),(378,1)}
        47:{1,3,4,5}:{(27,1),(31,1),(74,1),(82,1),(145,1),(157,1),(234,1),(239,1)}
        48:{2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(77,1),(147,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(33,1),(77,1),(88,1),(148,1),(166,1)}
        50:{1,5,6}:{(28,1),(76,1),(79,1),(330,1),(405,1)}
        51:{2,5,7}:{(28,1),(29,1),(77,1),(79,1),(80,1)}
        52:{1,3,6,7}:{(29,1),(30,1),(36,1),(80,1),(335,1)}
        53:{1,5,6,7}:{(30,1),(37,1),(168,1),(337,1)}
        54:{2,4,5}:{(31,1),(32,1),(81,1),(82,1),(338,1)}
        55:{3,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(90,1),(259,1),(358,1),(408,1),(443,1)}
        56:{2,3,4,6}:{(32,1),(38,1),(39,1),(75,1),(81,1),(85,1),(86,1),(144,1),(156,1),(165,1),(176,1),(237,1),(253,1),(338,1),(411,1)}
        57:{1,4,6}:{(32,1),(34,1),(82,1),(87,1),(88,1),(349,1)}
        58:{2,4,7}:{(32,1),(33,1),(35,1),(88,1)}
        59:{3,4,6,7}:{(33,1),(36,1),(84,1),(89,1),(90,1),(94,1)}
        60:{2,5,6}:{(34,1),(87,1),(92,1),(96,1),(147,1),(154,1),(248,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(43,1),(79,1),(88,1),(92,1),(93,1),(97,1),(148,1),(166,1),(168,1),(261,1)}
        62:{2,3,6,7}:{(35,1),(36,1),(44,1),(80,1),(89,1),(93,1),(156,1)}
        63:{3,5,6,7}:{(36,1),(37,1),(90,1),(94,1),(261,1),(357,1)}
        64:{1,3,4}:{(38,1),(45,1),(95,1),(172,1),(183,1)}
        65:{1,3,6}:{(39,1),(40,1),(45,1),(96,1),(97,1)}
        66:{2,3,7}:{(39,1),(41,1),(97,1),(166,1)}
        67:{1,2,4,6}:{(40,1),(42,1),(46,1),(87,1),(96,1),(98,1),(99,1),(100,1),(176,1),(276,1),(360,1),(409,1)}
        68:{1,4,7}:{(40,1),(41,1),(43,1),(97,1)}
        69:{1,3,5,6}:{(42,1),(91,1),(98,1),(100,1),(101,1),(178,1),(235,1),(244,1),(273,1),(275,1),(330,1),(342,1),(405,1),(414,1)}
        70:{1,2,5,7}:{(42,1),(43,1),(92,1),(99,1),(101,1),(102,1),(236,1),(271,1),(362,1),(419,1)}
        71:{1,6,7}:{(43,1),(44,1),(363,1)}
        72:{2,5}:{(45,1),(95,1),(96,1)}
        73:{1,3,5}:{(46,1),(98,1),(104,1),(105,1),(157,1),(172,1),(407,1)}
        74:{2,4,5}:{(47,1),(48,1),(106,1),(107,1),(187,1),(281,1),(285,1)}
        75:{2,3,6}:{(48,1),(106,1),(108,1),(109,1),(123,1)}
        76:{1,4,6}:{(48,1),(50,1),(107,1),(108,1),(111,1)}
        77:{2,4,7}:{(48,1),(49,1),(51,1),(109,1),(111,1),(191,1)}
        78:{1,2,5,6}:{(50,1),(60,1),(110,1),(112,1),(113,1),(133,1),(197,1),(285,1),(295,1),(371,1),(374,1),(390,1)}
        79:{1,5,7}:{(50,1),(51,1),(111,1),(114,1)}
        80:{2,6,7}:{(51,1),(52,1),(114,1),(374,1)}
        81:{2,3,5}:{(54,1),(56,1),(115,1),(209,1),(221,1),(285,1),(433,1)}
        82:{1,4,5}:{(54,1),(57,1),(115,1),(117,1),(293,1),(389,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(58,1),(116,1),(118,1),(119,1),(126,1),(379,1),(433,1)}
        84:{3,4,6}:{(55,1),(119,1),(120,1),(310,1),(396,1)}
        85:{1,3,4,6}:{(56,1),(57,1),(64,1),(65,1),(108,1),(115,1),(121,1),(122,1),(123,1),(186,1),(200,1),(201,1),(205,1),(219,1),(283,1),(293,1),(301,1),(383,1)}
        86:{2,3,4,7}:{(56,1),(58,1),(66,1),(109,1),(116,1),(122,1),(210,1),(222,1),(286,1),(304,1),(379,1)}
        87:{2,4,6}:{(57,1),(60,1),(117,1),(123,1),(124,1)}
        88:{1,4,7}:{(57,1),(58,1),(61,1),(124,1),(312,1)}
        89:{2,4,6,7}:{(58,1),(59,1),(62,1),(119,1),(125,1),(126,1)}
        90:{3,5,7}:{(59,1),(120,1),(126,1),(127,1)}
        91:{2,3,5,6}:{(60,1),(69,1),(112,1),(123,1),(128,1),(129,1),(134,1),(190,1),(198,1),(209,1),(221,1),(285,1),(292,1),(298,1),(302,1),(310,1),(314,1),(321,1),(374,1),(380,1),(386,1),(390,1),(428,1),(433,1),(449,1)}
        92:{2,5,7}:{(60,1),(61,1),(124,1),(130,1),(135,1),(191,1)}
        93:{1,3,6,7}:{(61,1),(62,1),(71,1),(114,1),(125,1),(130,1),(200,1),(211,1)}
        94:{4,6,7}:{(63,1),(127,1),(312,1),(396,1)}
        95:{2,4}:{(64,1),(72,1),(132,1)}
        96:{2,6}:{(65,1),(72,1),(135,1)}
        97:{1,3,7}:{(65,1),(66,1),(68,1),(135,1)}
        98:{1,3,6}:{(67,1),(73,1),(123,1),(134,1),(137,1),(428,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(70,1),(124,1),(135,1),(137,1),(139,1),(222,1),(324,1),(397,1),(431,1)}
       100:{1,4,6}:{(69,1),(128,1),(138,1),(139,1),(293,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(129,1),(137,1),(139,1),(140,1),(227,1),(284,1),(372,1)}
       102:{1,2,6,7}:{(70,1),(71,1),(130,1),(140,1),(295,1),(321,1),(398,1),(438,1)}
       103:{1,2,5}:{(72,1),(131,1),(133,1),(141,1),(315,1)}
       104:{2,3,5}:{(72,1),(73,1),(132,1),(134,1),(141,1),(142,1),(216,1),(221,1),(315,1)}
       105:{1,3,4}:{(73,1),(142,1),(201,1),(293,1),(377,1)}
       106:{2,3,5}:{(74,1),(75,1),(144,1),(145,1),(157,1)}
       107:{1,4,5}:{(74,1),(76,1),(145,1),(327,1),(330,1)}
       108:{1,3,6}:{(75,1),(76,1),(145,1),(147,1),(148,1)}
       109:{2,3,7}:{(75,1),(77,1),(148,1),(166,1)}
       110:{1,2,4,6}:{(76,1),(78,1),(87,1),(146,1),(147,1),(149,1),(150,1),(151,1),(237,1),(402,1),(409,1),(439,1)}
       111:{1,4,7}:{(76,1),(77,1),(79,1),(148,1)}
       112:{1,3,5,6}:{(78,1),(91,1),(149,1),(151,1),(152,1),(174,1),(239,1),(244,1),(268,1),(335,1),(337,1),(342,1),(363,1),(414,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(92,1),(150,1),(152,1),(153,1),(175,1),(333,1),(404,1),(419,1)}
       114:{1,6,7}:{(79,1),(80,1),(405,1)}
       115:{1,3,5}:{(81,1),(82,1),(85,1),(154,1),(157,1),(268,1),(330,1),(348,1),(414,1)}
       116:{2,3,5,7}:{(81,1),(83,1),(86,1),(155,1),(156,1),(259,1),(271,1),(333,1)}
       117:{2,4,5}:{(82,1),(87,1),(154,1),(157,1),(246,1)}
       118:{1,4,5,7}:{(82,1),(83,1),(88,1),(155,1),(158,1),(159,1),(168,1),(341,1),(414,1)}
       119:{2,4,6}:{(83,1),(84,1),(156,1),(159,1),(160,1)}
       120:{3,5,6}:{(84,1),(90,1),(160,1),(161,1),(443,1)}
       121:{2,4,6}:{(85,1),(95,1),(96,1),(147,1),(154,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       122:{1,3,4,7}:{(85,1),(86,1),(88,1),(97,1),(148,1),(155,1),(164,1),(166,1),(250,1),(255,1),(269,1),(331,1),(341,1)}
       123:{3,6}:{(87,1),(157,1),(166,1)}
       124:{2,4,7}:{(87,1),(88,1),(92,1),(166,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(93,1),(159,1),(167,1),(168,1)}
       126:{2,5,7}:{(89,1),(90,1),(160,1),(168,1)}
       127:{4,5,7}:{(90,1),(94,1),(161,1)}
       128:{2,4,6}:{(91,1),(100,1),(151,1),(165,1),(169,1),(170,1),(246,1),(338,1),(349,1),(453,1)}
       129:{2,3,5,7}:{(91,1),(92,1),(101,1),(152,1),(166,1),(170,1),(171,1),(177,1),(238,1),(259,1),(261,1),(264,1),(271,1),(333,1),(419,1),(441,1),(452,1)}
       130:{2,6,7}:{(92,1),(93,1),(248,1)}
       131:{1,2,4}:{(95,1),(103,1),(172,1),(183,1),(265,1)}
       132:{2,3}:{(95,1),(172,1)}
       133:{1,2,6}:{(96,1),(103,1),(174,1),(175,1),(360,1)}
       134:{2,3,6}:{(96,1),(98,1),(104,1),(174,1),(176,1),(177,1),(360,1)}
       135:{2,7}:{(96,1),(97,1)}
       136:{1,3,4,6}:{(98,1),(100,1),(105,1),(165,1),(176,1),(178,1),(179,1),(273,1)}
       137:{1,3,7}:{(98,1),(99,1),(166,1),(177,1),(441,1)}
       138:{1,4,5}:{(100,1),(169,1),(178,1),(330,1),(414,1)}
       139:{1,4,7}:{(100,1),(101,1),(170,1)}
       140:{1,3,6,7}:{(101,1),(102,1),(171,1),(182,1),(273,1),(342,1),(405,1)}
       141:{1,3,5}:{(103,1),(104,1),(172,1),(174,1),(183,1),(268,1)}
       142:{2,4}:{(104,1),(105,1),(183,1)}
       143:{1,3,4,5}:{(105,1),(178,1),(184,1),(185,1),(249,1),(266,1),(340,1),(407,1)}
       144:{2,3,4}:{(106,1),(186,1),(201,1),(281,1),(365,1)}
       145:{1,3,5}:{(106,1),(107,1),(108,1),(186,1),(187,1)}
       146:{1,2,4,5}:{(107,1),(110,1),(117,1),(187,1),(188,1),(194,1),(197,1),(278,1),(281,1),(285,1),(293,1),(368,1),(378,1),(423,1)}
       147:{2,6}:{(108,1),(187,1),(191,1)}
       148:{1,3,7}:{(108,1),(109,1),(111,1),(191,1)}
       149:{1,3,6}:{(110,1),(123,1),(188,1),(190,1),(193,1),(428,1)}
       150:{1,2,4,7}:{(110,1),(111,1),(113,1),(124,1),(191,1),(193,1),(195,1),(286,1),(426,1),(431,1),(447,1)}
       151:{1,4,6}:{(112,1),(128,1),(194,1),(195,1),(293,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(129,1),(193,1),(195,1),(196,1),(220,1),(291,1),(319,1)}
       153:{1,2,6,7}:{(113,1),(114,1),(130,1),(196,1),(295,1),(374,1),(427,1),(438,1)}
       154:{2,5}:{(115,1),(121,1)}
       155:{1,3,5,7}:{(115,1),(116,1),(118,1),(122,1),(199,1),(200,1),(202,1),(319,1),(372,1)}
       156:{2,3,6}:{(116,1),(119,1),(200,1),(310,1),(321,1),(374,1)}
       157:{3,5}:{(117,1),(123,1),(201,1)}
       158:{2,4,5,7}:{(117,1),(118,1),(124,1),(199,1),(202,1),(203,1),(212,1),(297,1),(312,1),(386,1),(389,1)}
       159:{1,4,6}:{(118,1),(119,1),(200,1),(203,1),(204,1)}
       160:{2,5,6}:{(119,1),(120,1),(126,1),(204,1),(433,1)}
       161:{4,5,6}:{(120,1),(127,1),(396,1),(450,1)}
       162:{1,2,4,6}:{(121,1),(131,1),(133,1),(189,1),(197,1),(205,1),(206,1),(219,1),(278,1),(283,1),(293,1),(295,1),(303,1),(383,1)}
       163:{2,3,6}:{(121,1),(123,1),(132,1),(198,1),(205,1),(208,1),(279,1)}
       164:{2,4,7}:{(121,1),(122,1),(135,1),(191,1),(199,1),(208,1)}
       165:{3,4,6}:{(123,1),(128,1),(201,1),(209,1),(210,1),(310,1),(377,1),(428,1)}
       166:{3,7}:{(123,1),(124,1)}
       167:{2,4,6,7}:{(124,1),(125,1),(130,1),(203,1),(211,1),(212,1),(312,1)}
       168:{1,5,7}:{(125,1),(126,1),(204,1),(212,1)}
       169:{2,4,5}:{(128,1),(138,1),(194,1),(209,1),(221,1),(285,1),(386,1),(389,1),(433,1),(450,1)}
       170:{2,4,7}:{(128,1),(129,1),(139,1),(195,1),(210,1),(312,1),(454,1)}
       171:{2,3,6,7}:{(129,1),(130,1),(140,1),(196,1),(211,1),(215,1),(298,1),(310,1),(321,1),(374,1),(380,1),(438,1),(448,1)}
       172:{1,3}:{(131,1),(132,1),(216,1)}
       173:{2,3,4}:{(132,1),(142,1),(217,1),(218,1),(377,1)}
       174:{1,3,6}:{(133,1),(134,1),(141,1),(219,1),(220,1)}
       175:{1,2,7}:{(133,1),(135,1),(220,1),(397,1)}
       176:{2,4,6}:{(134,1),(136,1),(142,1),(219,1),(221,1),(222,1),(321,1)}
       177:{2,3,7}:{(134,1),(135,1),(137,1),(220,1),(222,1),(397,1)}
       178:{1,3,5}:{(136,1),(138,1),(209,1),(221,1)}
       179:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(222,1),(224,1)}
       180:{1,4,5,6}:{(138,1),(213,1),(223,1),(225,1),(226,1),(371,1),(381,1),(435,1)}
       181:{1,4,5,7}:{(138,1),(139,1),(214,1),(224,1),(226,1),(227,1),(372,1)}
       182:{1,4,6,7}:{(139,1),(140,1),(215,1),(226,1),(227,1),(383,1)}
       183:{1,4}:{(141,1),(142,1)}
       184:{2,4,5}:{(142,1),(143,1),(218,1),(221,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(143,1),(223,1),(229,1),(230,1),(299,1),(316,1),(381,1),(428,1)}
       186:{1,3,4}:{(144,1),(145,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(145,1),(147,1),(231,1)}
       188:{1,3,5}:{(146,1),(149,1),(157,1),(233,1),(234,1),(325,1),(407,1)}
       189:{1,2,6}:{(147,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,3,6}:{(147,1),(149,1),(233,1),(235,1),(237,1),(238,1),(439,1)}
       191:{2,7}:{(147,1),(148,1)}
       192:{1,3,4,6}:{(149,1),(151,1),(165,1),(234,1),(237,1),(239,1),(240,1),(335,1)}
       193:{1,3,7}:{(149,1),(150,1),(166,1),(238,1),(441,1)}
       194:{1,4,5}:{(151,1),(169,1),(239,1),(268,1),(414,1)}
       195:{1,4,7}:{(151,1),(152,1),(170,1)}
       196:{1,3,6,7}:{(152,1),(153,1),(171,1),(243,1),(335,1),(342,1),(363,1)}
       197:{1,2,5}:{(154,1),(162,1),(244,1),(268,1),(330,1),(350,1),(414,1)}
       198:{2,3,5}:{(154,1),(157,1),(163,1),(244,1),(246,1)}
       199:{2,5,7}:{(154,1),(155,1),(164,1),(248,1)}
       200:{1,3,6}:{(155,1),(156,1),(159,1),(248,1),(251,1),(363,1),(405,1)}
       201:{3,4}:{(157,1),(246,1)}
       202:{3,5,7}:{(157,1),(158,1),(166,1),(250,1),(251,1),(348,1)}
       203:{2,4,6}:{(158,1),(159,1),(248,1),(251,1),(252,1),(349,1)}
       204:{1,5,6}:{(159,1),(160,1),(168,1),(252,1),(414,1)}
       205:{1,3,6}:{(162,1),(163,1),(172,1),(244,1),(253,1),(255,1),(325,1)}
       206:{1,2,4,7}:{(162,1),(164,1),(175,1),(236,1),(245,1),(255,1),(269,1),(331,1),(341,1),(351,1)}
       207:{2,3,4,6}:{(163,1),(165,1),(173,1),(176,1),(237,1),(246,1),(254,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(355,1),(401,1)}
       208:{2,3,7}:{(163,1),(164,1),(166,1),(255,1)}
       209:{3,5}:{(165,1),(169,1)}
       210:{3,4,7}:{(165,1),(166,1),(170,1),(259,1),(441,1)}
       211:{3,6,7}:{(166,1),(167,1),(251,1),(261,1)}
       212:{2,5,7}:{(167,1),(168,1),(252,1),(261,1)}
       213:{2,4,5,6}:{(169,1),(180,1),(241,1),(258,1),(262,1),(263,1),(270,1),(332,1),(343,1),(409,1),(416,1),(418,1),(445,1),(453,1)}
       214:{2,4,5,7}:{(169,1),(170,1),(181,1),(242,1),(259,1),(263,1),(264,1),(271,1),(333,1),(358,1)}
       215:{2,4,6,7}:{(170,1),(171,1),(182,1),(243,1),(260,1),(263,1),(264,1),(345,1),(411,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(407,1)}
       219:{1,4,6}:{(174,1),(176,1),(183,1),(268,1),(269,1),(363,1)}
       220:{1,3,7}:{(174,1),(175,1),(177,1),(269,1)}
       221:{2,5}:{(176,1),(178,1),(268,1)}
       222:{2,4,7}:{(176,1),(177,1),(179,1),(269,1),(271,1)}
       223:{1,3,5,6}:{(178,1),(180,1),(185,1),(258,1),(270,1),(272,1),(273,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(181,1),(259,1),(271,1),(273,1)}
       225:{1,4,5,7}:{(180,1),(262,1),(272,1),(274,1),(404,1),(412,1),(446,1)}
       226:{1,4,6}:{(181,1),(263,1),(273,1),(275,1),(405,1)}
       227:{1,5,7}:{(182,1),(264,1),(275,1),(414,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(268,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(270,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(272,1),(277,1),(346,1),(361,1),(412,1),(441,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(190,1),(279,1),(280,1),(281,1),(285,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(201,1),(281,1),(293,1),(377,1)}
       235:{1,3,6}:{(189,1),(190,1),(280,1),(283,1),(284,1)}
       236:{1,2,7}:{(189,1),(191,1),(284,1),(447,1)}
       237:{2,4,6}:{(190,1),(192,1),(281,1),(283,1),(285,1),(286,1),(374,1)}
       238:{2,3,7}:{(190,1),(191,1),(193,1),(284,1),(286,1),(447,1)}
       239:{1,3,5}:{(192,1),(194,1),(209,1),(285,1)}
       240:{1,3,4,7}:{(192,1),(193,1),(195,1),(210,1),(286,1),(288,1)}
       241:{1,4,5,6}:{(194,1),(213,1),(287,1),(289,1),(290,1),(318,1),(381,1),(435,1)}
       242:{1,4,5,7}:{(194,1),(195,1),(214,1),(288,1),(290,1),(291,1),(319,1)}
       243:{1,4,6,7}:{(195,1),(196,1),(215,1),(290,1),(291,1),(383,1)}
       244:{1,3,5}:{(197,1),(198,1),(205,1),(292,1),(293,1)}
       245:{1,2,5,7}:{(197,1),(199,1),(206,1),(294,1),(295,1),(319,1),(372,1),(391,1)}
       246:{2,4}:{(198,1),(201,1),(293,1)}
       247:{2,3,5,7}:{(198,1),(199,1),(202,1),(208,1),(294,1),(297,1),(298,1),(386,1)}
       248:{2,6}:{(199,1),(200,1)}
       249:{3,4,5}:{(201,1),(209,1),(296,1),(299,1),(450,1)}
       250:{3,4,7}:{(201,1),(202,1),(297,1),(301,1),(312,1)}
       251:{3,6}:{(202,1),(203,1)}
       252:{2,5,6}:{(203,1),(204,1),(212,1),(302,1),(386,1)}
       253:{2,3,6}:{(205,1),(216,1),(292,1),(303,1),(304,1),(365,1),(428,1)}
       254:{1,3,4,6}:{(205,1),(207,1),(217,1),(219,1),(283,1),(293,1),(303,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(393,1),(424,1),(428,1),(430,1)}
       255:{1,3,7}:{(205,1),(206,1),(208,1),(304,1)}
       256:{2,3,5}:{(207,1),(209,1),(221,1),(285,1),(296,1),(305,1),(386,1)}
       257:{2,3,4,7}:{(207,1),(208,1),(210,1),(222,1),(286,1),(297,1),(306,1),(308,1),(317,1),(384,1),(425,1)}
       258:{3,5,6}:{(209,1),(213,1),(299,1),(309,1),(310,1),(428,1)}
       259:{3,5,7}:{(209,1),(210,1),(214,1),(310,1)}
       260:{3,4,6,7}:{(210,1),(211,1),(215,1),(301,1),(310,1),(311,1),(312,1),(396,1),(430,1),(448,1),(454,1)}
       261:{3,5,7}:{(211,1),(212,1),(302,1),(312,1)}
       262:{2,4,5,7}:{(213,1),(225,1),(289,1),(309,1),(313,1),(320,1),(373,1),(384,1),(431,1),(436,1),(437,1),(451,1),(454,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(310,1),(314,1),(321,1),(374,1),(396,1)}
       264:{2,5,7}:{(215,1),(227,1),(291,1),(311,1),(314,1),(386,1),(433,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(428,1)}
       268:{1,5}:{(219,1),(221,1)}
       269:{1,4,7}:{(219,1),(220,1),(222,1),(319,1)}
       270:{2,5,6}:{(221,1),(223,1),(229,1),(318,1),(320,1),(321,1)}
       271:{2,5,7}:{(221,1),(222,1),(224,1),(319,1),(321,1)}
       272:{1,3,5,7}:{(223,1),(225,1),(230,1),(309,1),(320,1),(322,1)}
       273:{1,3,6}:{(224,1),(226,1),(310,1),(321,1)}
       274:{1,4,6,7}:{(225,1),(226,1),(313,1),(322,1),(323,1),(427,1)}
       275:{1,5,6}:{(226,1),(227,1),(314,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(318,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(320,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(235,1),(325,1),(327,1),(330,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(239,1),(249,1),(328,1),(329,1),(340,1),(400,1),(407,1)}
       283:{1,4,6}:{(235,1),(237,1),(327,1),(330,1),(331,1),(405,1)}
       284:{1,3,7}:{(235,1),(236,1),(238,1),(331,1)}
       285:{2,5}:{(237,1),(239,1),(330,1)}
       286:{2,4,7}:{(237,1),(238,1),(240,1),(331,1),(333,1)}
       287:{1,3,5,6}:{(239,1),(241,1),(258,1),(329,1),(332,1),(334,1),(335,1)}
       288:{1,3,5,7}:{(239,1),(240,1),(242,1),(259,1),(333,1),(335,1)}
       289:{1,4,5,7}:{(241,1),(262,1),(334,1),(336,1),(362,1),(412,1),(446,1)}
       290:{1,4,6}:{(242,1),(263,1),(335,1),(337,1),(363,1)}
       291:{1,5,7}:{(243,1),(264,1),(337,1),(414,1)}
       292:{2,3,5}:{(244,1),(253,1),(338,1),(350,1),(407,1)}
       293:{1,4}:{(244,1),(246,1),(338,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(255,1),(339,1),(341,1),(342,1),(414,1)}
       295:{1,2,6}:{(245,1),(248,1),(342,1),(363,1),(405,1),(420,1)}
       296:{2,4,5}:{(246,1),(249,1),(256,1),(340,1),(343,1)}
       297:{2,4,7}:{(246,1),(247,1),(250,1),(341,1),(345,1)}
       298:{2,3,6}:{(247,1),(248,1),(251,1),(342,1),(345,1)}
       299:{3,4,6}:{(249,1),(258,1),(343,1),(346,1),(453,1)}
       300:{3,4,5,7}:{(249,1),(250,1),(259,1),(344,1),(346,1),(347,1),(348,1),(358,1),(417,1)}
       301:{3,4,6}:{(250,1),(251,1),(345,1),(348,1),(349,1)}
       302:{3,5,6}:{(251,1),(252,1),(261,1),(348,1),(349,1)}
       303:{2,4,6}:{(253,1),(254,1),(265,1),(338,1),(350,1),(351,1),(360,1),(399,1),(420,1),(439,1)}
       304:{2,3,7}:{(253,1),(255,1),(351,1),(441,1)}
       305:{1,3,5}:{(254,1),(256,1),(268,1),(330,1),(340,1),(350,1),(407,1),(414,1),(443,1)}
       306:{1,3,4,7}:{(254,1),(255,1),(257,1),(269,1),(331,1),(341,1),(351,1),(353,1),(361,1),(408,1),(412,1),(440,1),(441,1)}
       307:{2,3,5,6}:{(256,1),(258,1),(267,1),(270,1),(332,1),(343,1),(352,1),(354,1),(355,1),(401,1),(416,1)}
       308:{2,3,5,7}:{(256,1),(257,1),(259,1),(271,1),(333,1),(344,1),(353,1),(355,1)}
       309:{3,5,7}:{(258,1),(262,1),(346,1),(356,1),(441,1)}
       310:{3,6}:{(259,1),(263,1)}
       311:{3,5,7}:{(260,1),(264,1),(348,1),(357,1),(358,1),(443,1)}
       312:{4,7}:{(261,1),(349,1)}
       313:{2,4,6,7}:{(262,1),(263,1),(274,1),(336,1),(356,1),(359,1),(364,1),(406,1),(422,1)}
       314:{2,5,6}:{(263,1),(264,1),(275,1),(337,1),(357,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(441,1)}
       318:{1,5,6}:{(268,1),(270,1),(276,1),(362,1),(363,1)}
       319:{1,5,7}:{(268,1),(269,1),(271,1),(363,1)}
       320:{2,5,7}:{(270,1),(272,1),(277,1),(362,1),(364,1)}
       321:{2,6}:{(271,1),(273,1),(363,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(274,1),(356,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(362,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(285,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(287,1),(299,1),(369,1),(370,1),(381,1),(424,1),(428,1)}
       330:{1,5}:{(283,1),(285,1)}
       331:{1,4,7}:{(283,1),(284,1),(286,1),(372,1)}
       332:{2,5,6}:{(285,1),(287,1),(369,1),(371,1),(373,1),(374,1)}
       333:{2,5,7}:{(285,1),(286,1),(288,1),(372,1),(374,1)}
       334:{1,3,5,7}:{(287,1),(289,1),(309,1),(370,1),(373,1),(375,1)}
       335:{1,3,6}:{(288,1),(290,1),(310,1),(374,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(313,1),(375,1),(376,1),(398,1)}
       337:{1,5,6}:{(290,1),(291,1),(314,1)}
       338:{2,4}:{(292,1),(293,1),(377,1)}
       339:{2,3,5,7}:{(292,1),(294,1),(304,1),(379,1),(380,1),(391,1),(429,1),(433,1)}
       340:{1,4,5}:{(293,1),(296,1),(305,1),(378,1),(381,1),(450,1)}
       341:{1,4,7}:{(293,1),(294,1),(297,1),(379,1),(383,1)}
       342:{1,3,6}:{(294,1),(295,1),(298,1),(380,1),(383,1)}
       343:{2,4,6}:{(296,1),(299,1),(307,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(296,1),(297,1),(300,1),(308,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(297,1),(298,1),(301,1),(383,1),(386,1)}
       346:{3,4,7}:{(299,1),(309,1),(384,1),(454,1)}
       347:{3,4,6}:{(300,1),(310,1),(385,1),(388,1),(396,1)}
       348:{3,5}:{(301,1),(386,1),(389,1)}
       349:{4,6}:{(302,1),(312,1),(389,1)}
       350:{2,5}:{(303,1),(305,1)}
       351:{2,4,7}:{(303,1),(304,1),(306,1),(391,1),(397,1),(447,1)}
       352:{1,3,5,6}:{(305,1),(307,1),(316,1),(318,1),(371,1),(381,1),(390,1),(392,1),(393,1),(424,1),(428,1),(435,1),(449,1)}
       353:{1,3,5,7}:{(305,1),(306,1),(308,1),(319,1),(372,1),(382,1),(391,1),(393,1),(429,1)}
       354:{2,3,5,7}:{(307,1),(309,1),(317,1),(320,1),(373,1),(384,1),(392,1),(394,1),(425,1),(436,1)}
       355:{2,3,6}:{(308,1),(310,1),(321,1),(374,1),(385,1),(393,1)}
       356:{3,6,7}:{(309,1),(310,1),(313,1)}
       357:{3,5,6}:{(310,1),(311,1),(314,1),(396,1)}
       358:{4,5,7}:{(311,1),(312,1),(389,1),(396,1),(450,1),(454,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(395,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,5,7}:{(318,1),(320,1),(324,1),(398,1)}
       363:{1,6}:{(319,1),(321,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(407,1)}
       368:{1,4,5}:{(327,1),(328,1),(330,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(332,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(334,1),(346,1),(403,1),(412,1),(440,1),(441,1)}
       371:{1,5,6}:{(330,1),(332,1),(402,1),(404,1),(405,1)}
       372:{1,5,7}:{(330,1),(331,1),(333,1),(405,1)}
       373:{2,5,7}:{(332,1),(334,1),(403,1),(404,1),(406,1)}
       374:{2,6}:{(333,1),(335,1),(405,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(336,1),(356,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(338,1),(407,1)}
       378:{2,4,5}:{(338,1),(340,1),(350,1),(407,1),(409,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(408,1),(411,1)}
       380:{2,3,6}:{(339,1),(342,1),(411,1),(420,1),(442,1)}
       381:{1,4,6}:{(340,1),(343,1),(352,1),(409,1),(412,1),(453,1)}
       382:{1,4,5,7}:{(340,1),(341,1),(344,1),(353,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(341,1),(342,1),(345,1),(411,1),(414,1)}
       384:{2,4,7}:{(343,1),(346,1),(354,1),(412,1)}
       385:{2,4,6}:{(344,1),(347,1),(355,1),(413,1),(416,1)}
       386:{2,5}:{(345,1),(348,1),(414,1)}
       387:{3,4,6,7}:{(346,1),(347,1),(356,1),(415,1),(417,1),(422,1)}
       388:{3,5,6}:{(347,1),(348,1),(416,1),(417,1),(418,1)}
       389:{4,5}:{(348,1),(349,1)}
       390:{2,5,6}:{(350,1),(352,1),(360,1),(409,1),(419,1),(420,1),(439,1)}
       391:{2,5,7}:{(350,1),(351,1),(353,1),(420,1)}
       392:{1,3,5,7}:{(352,1),(354,1),(361,1),(362,1),(404,1),(412,1),(419,1),(421,1),(440,1),(441,1),(446,1),(452,1)}
       393:{1,3,6}:{(353,1),(355,1),(363,1),(405,1),(413,1),(420,1),(442,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(356,1),(364,1),(406,1),(415,1),(421,1)}
       395:{3,5,6,7}:{(356,1),(357,1),(359,1),(417,1),(422,1),(452,1)}
       396:{4,6}:{(357,1),(358,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(428,1)}
       402:{1,4,6}:{(368,1),(369,1),(371,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(373,1),(425,1),(426,1),(447,1)}
       404:{1,5,7}:{(371,1),(373,1),(426,1),(427,1)}
       405:{1,6}:{(372,1),(374,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,5}:{(377,1),(378,1),(428,1)}
       408:{3,4,7}:{(377,1),(379,1),(429,1),(430,1),(454,1)}
       409:{2,4,6}:{(378,1),(381,1),(390,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(378,1),(379,1),(382,1),(391,1),(429,1),(431,1),(432,1),(433,1),(450,1),(451,1),(454,1)}
       411:{2,4,6}:{(379,1),(380,1),(383,1),(430,1),(433,1)}
       412:{1,4,7}:{(381,1),(384,1),(392,1),(431,1),(454,1)}
       413:{1,4,6}:{(382,1),(385,1),(393,1),(432,1),(435,1)}
       414:{1,5}:{(383,1),(386,1),(433,1)}
       415:{2,4,6,7}:{(384,1),(385,1),(387,1),(394,1),(434,1),(436,1)}
       416:{2,5,6}:{(385,1),(386,1),(388,1),(435,1),(436,1)}
       417:{3,5,7}:{(387,1),(388,1),(436,1),(437,1)}
       418:{4,5,6}:{(388,1),(389,1),(396,1),(437,1)}
       419:{2,5,7}:{(390,1),(392,1),(397,1),(431,1),(438,1),(447,1)}
       420:{2,6}:{(391,1),(393,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(434,1),(438,1),(448,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(441,1)}
       426:{1,4,7}:{(402,1),(403,1),(404,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,6}:{(407,1),(409,1),(441,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,4,6}:{(408,1),(411,1),(442,1),(443,1),(453,1)}
       431:{2,4,7}:{(409,1),(412,1),(419,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(420,1),(442,1),(445,1),(453,1)}
       433:{2,5}:{(411,1),(414,1),(443,1)}
       434:{1,4,6,7}:{(412,1),(413,1),(415,1),(421,1),(444,1),(446,1)}
       435:{1,5,6}:{(413,1),(414,1),(416,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(417,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,7}:{(428,1),(431,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,5}:{(430,1),(433,1),(450,1)}
       444:{2,4,6,7}:{(431,1),(432,1),(434,1),(438,1),(448,1),(451,1),(454,1)}
       445:{2,5,6}:{(432,1),(433,1),(435,1),(449,1),(451,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{3,6,7}:{(441,1),(442,1),(444,1),(452,1)}
       449:{3,5,6}:{(442,1),(443,1),(445,1),(452,1),(453,1)}
       450:{4,5}:{(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(452,1)}
       452:{3,5,7}:{(448,1),(449,1),(451,1),(454,1)}
       453:{4,6}:{(449,1),(450,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 454 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1),(38,1),(57,1),(85,1)}
         6:{1,2,6}:{(1,1),(13,1),(14,1),(36,1)}
         7:{1,3,4}:{(2,1),(11,1),(12,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(5,1),(17,1),(20,1),(21,1),(22,1),(42,1),(48,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,4}:{(5,1),(20,1)}
        13:{1,3,6}:{(5,1),(6,1),(21,1),(24,1),(25,1),(95,1)}
        14:{1,2,7}:{(6,1),(25,1),(53,1)}
        15:{1,3,5}:{(7,1),(22,1),(23,1),(26,1),(48,1)}
        16:{1,2,4}:{(8,1),(27,1),(28,1),(58,1)}
        17:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(29,1),(31,1),(61,1)}
        18:{1,2,6}:{(8,1),(29,1),(30,1),(86,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,4}:{(10,1),(12,1),(28,1),(32,1)}
        21:{2,3,6}:{(10,1),(13,1),(29,1),(34,1),(35,1),(36,1),(64,1),(86,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,5}:{(12,1),(15,1),(33,1),(37,1),(38,1),(85,1)}
        24:{1,4,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(71,1)}
        25:{1,3,7}:{(13,1),(14,1),(35,1),(39,1),(101,1)}
        26:{1,3,6}:{(15,1),(36,1),(37,1),(40,1),(64,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,4}:{(17,1),(20,1)}
        29:{1,3,6}:{(17,1),(18,1),(21,1),(45,1),(46,1),(47,1)}
        30:{1,2,7}:{(18,1),(46,1),(96,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(20,1),(48,1)}
        33:{2,4,5}:{(20,1),(22,1),(23,1),(44,1),(48,1),(50,1),(51,1),(73,1),(80,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(51,1),(52,1),(83,1)}
        35:{2,3,7}:{(21,1),(25,1),(46,1),(52,1),(53,1),(79,1),(96,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,6}:{(23,1),(26,1),(50,1),(54,1),(55,1),(95,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,7}:{(24,1),(25,1),(52,1),(56,1)}
        40:{1,3,7}:{(26,1),(53,1),(55,1),(79,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(59,1)}
        44:{1,4,5}:{(28,1),(31,1),(33,1),(59,1),(60,1),(61,1)}
        45:{1,4,6}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        46:{1,3,7}:{(29,1),(30,1),(35,1),(62,1),(63,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,5}:{(32,1),(33,1),(64,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        50:{2,4,6}:{(33,1),(36,1),(37,1),(60,1),(64,1),(67,1),(68,1),(86,1),(90,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,7}:{(34,1),(35,1),(39,1),(62,1),(66,1),(69,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(38,1),(67,1),(70,1),(71,1)}
        55:{1,4,7}:{(37,1),(40,1),(68,1),(70,1),(101,1)}
        56:{1,5,7}:{(38,1),(39,1),(69,1),(71,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(44,1),(48,1),(73,1),(74,1)}
        60:{1,4,6}:{(44,1),(47,1),(50,1),(74,1),(75,1),(76,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,7}:{(45,1),(46,1),(52,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,6}:{(48,1),(50,1),(79,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{3,4,7}:{(49,1),(52,1),(79,1),(81,1),(98,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(75,1),(78,1),(82,1),(83,1)}
        68:{2,4,7}:{(50,1),(53,1),(55,1),(76,1),(79,1),(82,1),(96,1),(98,1)}
        69:{2,5,7}:{(51,1),(52,1),(56,1),(77,1),(81,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(82,1),(84,1)}
        71:{1,6}:{(56,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(60,1),(64,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(61,1),(67,1),(88,1),(89,1)}
        76:{1,4,7}:{(60,1),(63,1),(68,1),(87,1),(88,1)}
        77:{1,5,7}:{(61,1),(62,1),(69,1),(89,1)}
        78:{3,5,6}:{(64,1),(65,1),(67,1),(90,1),(91,1),(93,1),(103,1)}
        79:{3,7}:{(64,1),(68,1)}
        80:{4,5}:{(65,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(69,1),(92,1),(93,1)}
        82:{2,5,7}:{(67,1),(68,1),(70,1),(88,1),(91,1),(94,1)}
        83:{2,6}:{(69,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(76,1),(79,1),(96,1)}
        88:{1,5,7}:{(75,1),(76,1),(82,1),(97,1)}
        89:{1,6}:{(77,1),(83,1)}
        90:{4,6}:{(78,1),(80,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(104,1)}
        92:{4,5,7}:{(80,1),(81,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(83,1),(100,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(99,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(93,1),(94,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 455 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 456 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 457 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(46,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(46,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(65,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(66,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(38,1),(66,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(46,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(82,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(46,1),(59,1),(60,1),(88,1),(92,1),(107,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(61,1),(66,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(65,1),(69,1),(72,1),(99,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(99,1),(103,1),(114,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(114,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(38,1),(41,1),(101,1),(114,1)}
        24:{2,4,6}:{(12,1),(31,1),(38,1),(40,1),(66,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(46,1),(80,1),(81,1),(88,1),(104,1),(107,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(46,1),(47,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(47,1),(49,1),(82,1)}
        32:{2,4,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(47,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{3,6}:{(23,1),(24,1)}
        39:{2,4,6,7}:{(24,1),(48,1),(57,1),(59,1),(83,1),(92,1),(107,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(61,1),(64,1),(101,1),(114,1)}
        43:{2,4,6}:{(27,1),(31,1),(61,1),(63,1),(66,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(61,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{2,5,7}:{(30,1),(32,1),(65,1),(66,1),(71,1),(115,1),(122,1)}
        47:{1,3,6}:{(30,1),(31,1),(38,1),(61,1),(66,1)}
        48:{1,4,6,7}:{(31,1),(39,1),(62,1),(67,1),(69,1),(95,1),(99,1),(112,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(69,1)}
        50:{1,4,7}:{(32,1),(35,1),(65,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(66,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(114,1)}
        58:{3,5,6}:{(38,1),(40,1),(41,1),(76,1),(77,1)}
        59:{2,5,7}:{(39,1),(40,1),(69,1),(76,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{3,6}:{(42,1),(43,1)}
        62:{2,4,6,7}:{(43,1),(48,1),(78,1),(80,1),(83,1),(104,1),(107,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,5,7}:{(46,1),(50,1),(82,1),(87,1),(120,1),(125,1)}
        66:{2,6}:{(46,1),(47,1),(82,1)}
        67:{1,3,6,7}:{(47,1),(48,1),(57,1),(78,1),(83,1),(85,1),(118,1)}
        68:{1,3,5,6}:{(47,1),(49,1),(52,1),(58,1),(79,1),(84,1),(85,1),(86,1),(108,1)}
        69:{1,5,7}:{(48,1),(49,1),(59,1),(80,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(82,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(58,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(114,1)}
        79:{3,5,6}:{(61,1),(63,1),(64,1),(93,1),(94,1)}
        80:{2,5,7}:{(62,1),(63,1),(69,1),(93,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{1,6}:{(65,1),(66,1)}
        83:{2,6,7}:{(66,1),(67,1),(95,1),(97,1),(122,1)}
        84:{2,5,6}:{(66,1),(68,1),(71,1),(96,1),(97,1),(98,1)}
        85:{1,3,5,7}:{(67,1),(68,1),(69,1),(76,1),(93,1),(97,1),(99,1),(114,1)}
        86:{1,4,6}:{(68,1),(72,1),(77,1),(94,1),(98,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(98,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(79,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(83,1),(105,1),(125,1)}
        96:{1,5,6}:{(82,1),(84,1),(87,1),(105,1),(106,1)}
        97:{2,5,7}:{(83,1),(84,1),(85,1),(105,1),(107,1)}
        98:{2,4,6}:{(84,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
        99:{1,4,7}:{(85,1),(86,1),(92,1),(104,1),(107,1),(125,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(106,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(97,1),(112,1)}
       106:{1,4,6}:{(96,1),(98,1),(100,1),(112,1),(113,1)}
       107:{2,4,7}:{(97,1),(98,1),(99,1),(112,1),(114,1),(122,1)}
       108:{3,6}:{(98,1),(101,1),(114,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(113,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{1,3,6}:{(106,1),(108,1),(109,1),(118,1),(119,1)}
       114:{3,7}:{(107,1),(108,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(113,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 458 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(3,1),(5,1),(6,1),(19,1),(24,1),(27,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(9,1),(34,1)}
         3:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(33,1),(37,1),(68,1)}
         4:{1,2,6}:{(0,1),(10,1),(11,1),(69,1)}
         5:{2,4}:{(1,1),(9,1),(12,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(15,1),(39,1),(69,1)}
         7:{2,3,5}:{(3,1),(16,1),(17,1),(19,1),(45,1),(48,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,4}:{(3,1),(5,1),(16,1)}
        10:{1,3,6}:{(3,1),(4,1),(6,1),(17,1),(22,1),(23,1),(84,1)}
        11:{1,2,7}:{(4,1),(23,1),(85,1)}
        12:{3,4}:{(5,1),(24,1)}
        13:{2,4,5}:{(5,1),(21,1),(24,1),(26,1),(27,1),(51,1),(58,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(25,1),(27,1),(28,1),(61,1)}
        15:{2,3,7}:{(6,1),(23,1),(28,1),(57,1),(85,1)}
        16:{2,4}:{(7,1),(9,1),(29,1)}
        17:{2,3,6}:{(7,1),(10,1),(31,1),(32,1),(62,1),(69,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(9,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,4,5}:{(9,1),(13,1),(30,1),(35,1),(36,1),(37,1),(68,1)}
        22:{1,4,6}:{(9,1),(10,1),(14,1),(31,1),(37,1),(38,1),(72,1)}
        23:{1,3,7}:{(10,1),(11,1),(15,1),(32,1),(38,1),(95,1)}
        24:{3,5}:{(12,1),(13,1),(39,1)}
        25:{3,4,6}:{(12,1),(14,1),(39,1),(40,1),(41,1),(73,1),(76,1)}
        26:{2,4,6}:{(13,1),(36,1),(39,1),(42,1),(43,1),(69,1),(73,1)}
        27:{2,5}:{(14,1),(37,1),(40,1)}
        28:{2,4,7}:{(14,1),(15,1),(38,1),(41,1),(44,1)}
        29:{3,4}:{(16,1),(45,1)}
        30:{2,4,5}:{(16,1),(21,1),(45,1),(47,1),(48,1),(51,1),(80,1)}
        31:{2,4,6}:{(16,1),(17,1),(22,1),(46,1),(48,1),(49,1),(83,1)}
        32:{2,3,7}:{(17,1),(23,1),(49,1),(79,1),(85,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(21,1),(24,1),(45,1),(51,1),(52,1)}
        36:{1,4,6}:{(21,1),(26,1),(47,1),(52,1),(53,1),(54,1),(84,1)}
        37:{1,5}:{(22,1),(27,1),(48,1)}
        38:{1,4,7}:{(22,1),(23,1),(28,1),(49,1),(55,1)}
        39:{3,6}:{(24,1),(26,1),(57,1)}
        40:{3,5}:{(25,1),(27,1),(58,1)}
        41:{3,4,7}:{(25,1),(28,1),(57,1),(59,1),(87,1)}
        42:{2,5,6}:{(26,1),(27,1),(53,1),(56,1),(60,1),(61,1)}
        43:{2,4,7}:{(26,1),(54,1),(57,1),(60,1),(85,1),(87,1)}
        44:{2,5,7}:{(27,1),(28,1),(55,1),(59,1),(61,1)}
        45:{3,5}:{(29,1),(30,1),(62,1)}
        46:{3,4,6}:{(29,1),(31,1),(62,1),(63,1),(64,1),(90,1),(93,1)}
        47:{2,4,6}:{(30,1),(36,1),(62,1),(65,1),(66,1),(69,1),(90,1)}
        48:{2,5}:{(31,1),(37,1),(63,1)}
        49:{2,4,7}:{(31,1),(32,1),(38,1),(64,1),(67,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(36,1),(39,1),(62,1),(69,1),(70,1)}
        53:{1,5,6}:{(36,1),(37,1),(42,1),(65,1),(71,1),(72,1)}
        54:{1,4,7}:{(36,1),(43,1),(66,1),(70,1),(71,1),(95,1)}
        55:{1,5,7}:{(37,1),(38,1),(44,1),(67,1),(72,1)}
        56:{3,5,6}:{(39,1),(40,1),(42,1),(73,1),(74,1),(76,1),(97,1)}
        57:{3,7}:{(39,1),(43,1)}
        58:{4,5}:{(40,1),(73,1)}
        59:{3,5,7}:{(40,1),(41,1),(44,1),(75,1),(76,1)}
        60:{2,5,7}:{(42,1),(43,1),(71,1),(74,1),(77,1)}
        61:{2,6}:{(44,1),(72,1),(76,1)}
        62:{3,6}:{(45,1),(47,1),(79,1)}
        63:{3,5}:{(46,1),(48,1),(80,1)}
        64:{3,4,7}:{(46,1),(49,1),(79,1),(81,1),(98,1)}
        65:{2,5,6}:{(47,1),(48,1),(53,1),(78,1),(82,1),(83,1)}
        66:{2,4,7}:{(47,1),(54,1),(79,1),(82,1),(85,1),(98,1)}
        67:{2,5,7}:{(48,1),(49,1),(55,1),(81,1),(83,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(54,1),(57,1),(79,1),(85,1)}
        71:{1,5,7}:{(53,1),(54,1),(60,1),(82,1),(86,1)}
        72:{1,6}:{(55,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(58,1),(87,1)}
        74:{3,5,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(101,1)}
        75:{4,5,7}:{(58,1),(59,1),(87,1),(89,1),(101,1)}
        76:{3,6}:{(59,1),(61,1),(89,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(88,1)}
        78:{3,5,6}:{(62,1),(63,1),(65,1),(90,1),(91,1),(93,1),(103,1)}
        79:{3,7}:{(62,1),(66,1)}
        80:{4,5}:{(63,1),(90,1)}
        81:{3,5,7}:{(63,1),(64,1),(67,1),(92,1),(93,1)}
        82:{2,5,7}:{(65,1),(66,1),(71,1),(91,1),(94,1)}
        83:{2,6}:{(67,1),(72,1),(93,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,7}:{(73,1),(74,1)}
        88:{3,6,7}:{(74,1),(76,1),(77,1),(96,1)}
        89:{4,6}:{(75,1),(76,1),(97,1)}
        90:{4,6}:{(78,1),(80,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(104,1)}
        92:{4,5,7}:{(80,1),(81,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(83,1),(100,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(99,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(89,1),(101,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(93,1),(94,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 459 :   0:{1,2,6}:{(2,1),(3,1),(4,1),(89,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(62,1),(89,1)}
         2:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(11,1),(98,1)}
         3:{1,2,5}:{(0,1),(10,1),(12,1),(75,1),(77,1)}
         4:{1,2,7}:{(0,1),(11,1),(99,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(16,1),(45,1)}
         6:{2,3,5}:{(1,1),(10,1),(14,1),(16,1),(38,1),(44,1),(75,1)}
         7:{2,3,7}:{(1,1),(11,1),(15,1),(81,1),(99,1)}
         8:{2,3,6}:{(2,1),(17,1),(18,1),(19,1),(86,1),(89,1)}
         9:{1,4,6}:{(2,1),(5,1),(17,1),(20,1),(21,1),(22,1),(55,1)}
        10:{1,3,5}:{(2,1),(3,1),(6,1),(18,1),(20,1),(22,1),(23,1),(57,1),(91,1)}
        11:{1,3,7}:{(2,1),(4,1),(7,1),(19,1),(21,1),(103,1)}
        12:{1,2,4}:{(3,1),(22,1),(23,1),(56,1)}
        13:{3,4,6}:{(5,1),(24,1),(25,1),(29,1),(58,1),(61,1),(62,1)}
        14:{2,5}:{(5,1),(20,1),(24,1)}
        15:{2,4,7}:{(5,1),(7,1),(21,1),(25,1),(28,1)}
        16:{2,4}:{(6,1),(22,1),(29,1)}
        17:{2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(71,1)}
        18:{2,3,5}:{(8,1),(10,1),(31,1),(33,1),(38,1),(70,1),(75,1)}
        19:{2,3,7}:{(8,1),(11,1),(32,1),(97,1),(99,1)}
        20:{1,5}:{(9,1),(14,1),(31,1)}
        21:{1,4,7}:{(9,1),(11,1),(15,1),(32,1),(36,1)}
        22:{1,4}:{(10,1),(16,1),(33,1)}
        23:{1,3}:{(12,1),(38,1)}
        24:{3,5}:{(13,1),(14,1),(40,1)}
        25:{3,4,7}:{(13,1),(15,1),(41,1),(78,1),(81,1)}
        26:{2,5,6}:{(14,1),(34,1),(39,1),(42,1),(43,1),(45,1)}
        27:{2,4,5}:{(14,1),(16,1),(35,1),(40,1),(42,1),(44,1),(75,1)}
        28:{2,5,7}:{(14,1),(15,1),(36,1),(41,1),(45,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(51,1),(82,1),(85,1),(86,1)}
        31:{2,5}:{(17,1),(20,1),(46,1)}
        32:{2,4,7}:{(17,1),(19,1),(21,1),(47,1),(50,1)}
        33:{2,4}:{(18,1),(22,1),(51,1)}
        34:{1,5,6}:{(20,1),(26,1),(48,1),(52,1),(53,1),(55,1)}
        35:{1,4,5}:{(20,1),(22,1),(27,1),(49,1),(52,1),(54,1),(91,1)}
        36:{1,5,7}:{(20,1),(21,1),(28,1),(50,1),(55,1)}
        37:{1,3,4}:{(22,1),(23,1),(29,1),(51,1),(54,1),(56,1)}
        38:{2,3}:{(23,1),(56,1),(57,1)}
        39:{3,5,6}:{(24,1),(26,1),(58,1),(59,1),(61,1),(62,1),(93,1)}
        40:{4,5}:{(24,1),(58,1)}
        41:{3,5,7}:{(24,1),(25,1),(28,1),(60,1),(61,1)}
        42:{2,4,6}:{(26,1),(27,1),(52,1),(58,1),(62,1),(63,1),(89,1)}
        43:{2,5,7}:{(26,1),(53,1),(59,1),(63,1),(64,1)}
        44:{3,5}:{(27,1),(29,1),(62,1)}
        45:{2,6}:{(28,1),(55,1),(61,1)}
        46:{3,5}:{(30,1),(31,1),(66,1)}
        47:{3,4,7}:{(30,1),(32,1),(67,1),(94,1),(97,1)}
        48:{2,5,6}:{(31,1),(34,1),(65,1),(68,1),(69,1),(71,1)}
        49:{2,4,5}:{(31,1),(33,1),(35,1),(66,1),(68,1),(70,1),(75,1)}
        50:{2,5,7}:{(31,1),(32,1),(36,1),(67,1),(71,1)}
        51:{3,4}:{(33,1),(70,1)}
        52:{1,4,6}:{(34,1),(35,1),(42,1),(68,1),(72,1),(73,1),(98,1)}
        53:{1,5,7}:{(34,1),(43,1),(69,1),(73,1),(74,1)}
        54:{1,3,5}:{(35,1),(37,1),(44,1),(70,1),(72,1),(75,1)}
        55:{1,6}:{(36,1),(45,1),(71,1)}
        56:{2,4}:{(37,1),(38,1),(75,1),(76,1)}
        57:{1,3}:{(38,1),(76,1),(77,1)}
        58:{4,6}:{(39,1),(40,1),(78,1)}
        59:{3,5,7}:{(39,1),(43,1),(78,1),(79,1),(81,1),(100,1)}
        60:{4,5,7}:{(40,1),(41,1),(78,1),(80,1),(100,1)}
        61:{3,6}:{(41,1),(45,1),(80,1)}
        62:{3,6}:{(42,1),(44,1),(81,1)}
        63:{2,4,7}:{(42,1),(43,1),(73,1),(78,1),(81,1),(99,1)}
        64:{2,6,7}:{(43,1),(45,1),(74,1),(79,1)}
        65:{3,5,6}:{(46,1),(48,1),(82,1),(83,1),(85,1),(86,1),(102,1)}
        66:{4,5}:{(46,1),(82,1)}
        67:{3,5,7}:{(46,1),(47,1),(50,1),(84,1),(85,1)}
        68:{2,4,6}:{(48,1),(49,1),(52,1),(82,1),(86,1),(87,1),(89,1)}
        69:{2,5,7}:{(48,1),(53,1),(83,1),(87,1),(88,1)}
        70:{3,5}:{(49,1),(51,1),(86,1)}
        71:{2,6}:{(50,1),(55,1),(85,1)}
        72:{1,3,6}:{(52,1),(54,1),(62,1),(86,1),(89,1),(90,1)}
        73:{1,4,7}:{(52,1),(53,1),(63,1),(87,1),(90,1),(103,1)}
        74:{1,6,7}:{(53,1),(55,1),(64,1),(88,1)}
        75:{2,5}:{(54,1),(56,1),(89,1),(91,1)}
        76:{1,4}:{(56,1),(57,1),(91,1)}
        77:{1,2}:{(57,1)}
        78:{4,7}:{(58,1),(59,1)}
        79:{3,6,7}:{(59,1),(61,1),(64,1),(92,1)}
        80:{4,6}:{(60,1),(61,1),(93,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{4,6}:{(65,1),(66,1),(94,1)}
        83:{3,5,7}:{(65,1),(69,1),(94,1),(95,1),(97,1),(104,1)}
        84:{4,5,7}:{(66,1),(67,1),(94,1),(96,1),(104,1)}
        85:{3,6}:{(67,1),(71,1),(96,1)}
        86:{3,6}:{(68,1),(70,1),(97,1)}
        87:{2,4,7}:{(68,1),(69,1),(73,1),(94,1),(97,1),(99,1)}
        88:{2,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        89:{2,6}:{(72,1),(75,1),(98,1),(99,1)}
        90:{1,3,7}:{(72,1),(73,1),(81,1),(97,1),(99,1)}
        91:{1,5}:{(75,1),(76,1),(98,1)}
        92:{4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        93:{5,6}:{(80,1),(100,1)}
        94:{4,7}:{(82,1),(83,1)}
        95:{3,6,7}:{(83,1),(85,1),(88,1),(101,1)}
        96:{4,6}:{(84,1),(85,1),(102,1)}
        97:{3,7}:{(86,1),(87,1)}
        98:{1,6}:{(89,1),(91,1),(103,1)}
        99:{2,7}:{(89,1),(90,1),(103,1)}
       100:{5,7}:{(92,1),(93,1)}
       101:{4,6,7}:{(94,1),(95,1),(96,1),(104,1)}
       102:{5,6}:{(96,1),(104,1)}
       103:{1,7}:{(98,1),(99,1)}
       104:{5,7}:{(101,1),(102,1)}

 460 :   0:{1,2,7}:{(2,1),(3,1),(102,1)}
         1:{2,3,7}:{(2,1),(4,1),(5,1),(89,1),(102,1)}
         2:{1,3,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(104,1)}
         3:{1,2,6}:{(0,1),(8,1),(9,1),(97,1)}
         4:{2,4,7}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
         5:{2,3,6}:{(1,1),(8,1),(12,1),(13,1),(74,1),(97,1)}
         6:{2,3,7}:{(2,1),(14,1),(15,1),(101,1),(102,1)}
         7:{1,4,7}:{(2,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,6}:{(2,1),(3,1),(5,1),(15,1),(17,1),(18,1),(103,1)}
         9:{1,2,5}:{(3,1),(18,1),(19,1),(84,1),(86,1)}
        10:{3,4,7}:{(4,1),(20,1),(21,1),(88,1),(89,1)}
        11:{2,5,7}:{(4,1),(16,1),(20,1),(22,1),(23,1)}
        12:{2,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(24,1)}
        13:{2,3,5}:{(5,1),(18,1),(23,1),(24,1),(49,1),(56,1),(84,1)}
        14:{2,4,7}:{(6,1),(7,1),(25,1),(26,1),(27,1)}
        15:{2,3,6}:{(6,1),(8,1),(27,1),(28,1),(95,1),(97,1)}
        16:{1,5,7}:{(7,1),(11,1),(26,1),(29,1),(30,1)}
        17:{1,4,6}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(9,1),(13,1),(28,1),(30,1),(31,1),(32,1),(68,1),(98,1)}
        19:{1,2,4}:{(9,1),(31,1),(32,1),(67,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        21:{3,4,6}:{(10,1),(12,1),(34,1),(35,1),(39,1),(72,1),(74,1)}
        22:{2,6}:{(11,1),(29,1),(34,1)}
        23:{2,5}:{(12,1),(30,1),(35,1)}
        24:{2,4}:{(13,1),(31,1),(39,1)}
        25:{3,4,7}:{(14,1),(40,1),(41,1),(100,1),(101,1)}
        26:{2,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(17,1),(41,1),(42,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(18,1),(43,1),(44,1),(49,1),(81,1),(84,1)}
        29:{1,6}:{(16,1),(22,1),(42,1)}
        30:{1,5}:{(17,1),(23,1),(43,1)}
        31:{1,4}:{(18,1),(24,1),(44,1)}
        32:{1,3}:{(19,1),(49,1)}
        33:{4,5,7}:{(20,1),(50,1),(53,1),(87,1),(88,1)}
        34:{3,6}:{(20,1),(22,1),(50,1)}
        35:{3,5}:{(21,1),(23,1),(53,1)}
        36:{2,6,7}:{(22,1),(45,1),(51,1),(54,1)}
        37:{2,5,6}:{(22,1),(23,1),(46,1),(52,1),(54,1),(55,1)}
        38:{2,4,5}:{(23,1),(24,1),(47,1),(53,1),(55,1),(56,1),(84,1)}
        39:{3,4}:{(24,1),(56,1)}
        40:{3,5,7}:{(25,1),(26,1),(57,1),(58,1),(59,1)}
        41:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(63,1),(93,1),(95,1)}
        42:{2,6}:{(26,1),(29,1),(58,1)}
        43:{2,5}:{(27,1),(30,1),(59,1)}
        44:{2,4}:{(28,1),(31,1),(63,1)}
        45:{1,6,7}:{(29,1),(36,1),(60,1),(64,1)}
        46:{1,5,6}:{(29,1),(30,1),(37,1),(61,1),(64,1),(65,1)}
        47:{1,4,5}:{(30,1),(31,1),(38,1),(62,1),(65,1),(66,1),(98,1)}
        48:{1,3,4}:{(31,1),(32,1),(39,1),(63,1),(66,1),(67,1)}
        49:{2,3}:{(32,1),(67,1),(68,1)}
        50:{4,6}:{(33,1),(34,1),(70,1)}
        51:{3,6,7}:{(34,1),(36,1),(69,1),(71,1)}
        52:{3,5,6}:{(34,1),(35,1),(37,1),(70,1),(71,1),(72,1),(74,1)}
        53:{4,5}:{(35,1),(72,1)}
        54:{2,5,7}:{(36,1),(37,1),(64,1),(71,1),(73,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(72,1),(73,1),(74,1),(97,1)}
        56:{3,5}:{(38,1),(39,1),(74,1)}
        57:{4,5,7}:{(40,1),(75,1),(78,1),(99,1),(100,1)}
        58:{3,6}:{(40,1),(42,1),(75,1)}
        59:{3,5}:{(41,1),(43,1),(78,1)}
        60:{2,6,7}:{(42,1),(45,1),(76,1),(79,1)}
        61:{2,5,6}:{(42,1),(43,1),(46,1),(77,1),(79,1),(80,1)}
        62:{2,4,5}:{(43,1),(44,1),(47,1),(78,1),(80,1),(81,1),(84,1)}
        63:{3,4}:{(44,1),(81,1)}
        64:{1,5,7}:{(45,1),(46,1),(54,1),(79,1),(82,1)}
        65:{1,4,6}:{(46,1),(47,1),(55,1),(80,1),(82,1),(83,1),(103,1)}
        66:{1,3,5}:{(47,1),(48,1),(56,1),(81,1),(83,1),(84,1)}
        67:{2,4}:{(48,1),(49,1),(84,1),(85,1)}
        68:{1,3}:{(49,1),(85,1),(86,1)}
        69:{4,6,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{5,6}:{(50,1),(87,1)}
        71:{3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        72:{4,6}:{(52,1),(53,1),(88,1)}
        73:{2,4,7}:{(54,1),(55,1),(82,1),(88,1),(89,1),(102,1)}
        74:{3,6}:{(55,1),(56,1),(89,1)}
        75:{4,6}:{(57,1),(58,1),(91,1)}
        76:{3,6,7}:{(58,1),(60,1),(90,1),(92,1)}
        77:{3,5,6}:{(58,1),(59,1),(61,1),(91,1),(92,1),(93,1),(95,1)}
        78:{4,5}:{(59,1),(93,1)}
        79:{2,5,7}:{(60,1),(61,1),(64,1),(92,1),(94,1)}
        80:{2,4,6}:{(61,1),(62,1),(65,1),(93,1),(94,1),(95,1),(97,1)}
        81:{3,5}:{(62,1),(63,1),(95,1)}
        82:{1,4,7}:{(64,1),(65,1),(73,1),(94,1),(96,1),(104,1)}
        83:{1,3,6}:{(65,1),(66,1),(74,1),(95,1),(96,1),(97,1)}
        84:{2,5}:{(66,1),(67,1),(97,1),(98,1)}
        85:{1,4}:{(67,1),(68,1),(98,1)}
        86:{1,2}:{(68,1)}
        87:{5,7}:{(69,1),(70,1)}
        88:{4,7}:{(71,1),(72,1)}
        89:{3,7}:{(73,1),(74,1)}
        90:{4,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{5,6}:{(75,1),(99,1)}
        92:{3,5,7}:{(76,1),(77,1),(79,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(77,1),(78,1),(100,1)}
        94:{2,4,7}:{(79,1),(80,1),(82,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(80,1),(81,1),(101,1)}
        96:{1,3,7}:{(82,1),(83,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(83,1),(84,1),(102,1),(103,1)}
        98:{1,5}:{(84,1),(85,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 461 :  0:{1,2}:{(2,1)}
        1:{2,3}:{(2,1),(3,1)}
        2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
        3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
        4:{2,3}:{(2,1),(8,1)}
        5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
        6:{3,4}:{(3,1),(10,1)}
        7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
        8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
       10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
       11:{2,6}:{(7,1),(14,1),(16,1),(17,1)}
       12:{3,4}:{(8,1),(18,1)}
       13:{2,5}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,6}:{(9,1),(11,1),(19,1),(20,1)}
       15:{4,5}:{(10,1),(21,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(20,1),(22,1)}
       18:{3,5}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,7}:{(14,1),(17,1),(25,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,7}:{(16,1),(17,1),(27,1)}
       23:{4,5}:{(18,1),(28,1)}
       24:{3,6}:{(18,1),(19,1),(28,1),(29,1)}
       25:{2,7}:{(19,1),(20,1),(29,1)}
       26:{5,6}:{(21,1),(30,1)}
       27:{4,7}:{(21,1),(22,1),(30,1)}
       28:{4,6}:{(23,1),(24,1),(31,1),(32,1)}
       29:{3,7}:{(24,1),(25,1),(32,1)}
       30:{5,7}:{(26,1),(27,1),(33,1)}
       31:{5,6}:{(28,1),(34,1)}
       32:{4,7}:{(28,1),(29,1),(34,1)}
       33:{6,7}:{(30,1)}
       34:{5,7}:{(31,1),(32,1),(35,1)}
       35:{6,7}:{(34,1)}

 462 :   0:{2,3,4}:{(1,1),(2,1),(32,1),(72,1)}
         1:{1,3,4}:{(0,1),(4,1),(5,1),(22,1),(59,1),(62,1)}
         2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,3,4}:{(8,1),(9,1),(11,1),(41,1)}
         4:{2,4}:{(1,1),(11,1),(12,1)}
         5:{1,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(43,1)}
         6:{2,4,5}:{(2,1),(13,1),(15,1),(16,1),(72,1),(113,1)}
         7:{2,3,6}:{(2,1),(14,1),(16,1),(17,1)}
         8:{1,3,4}:{(3,1),(18,1),(19,1),(22,1),(59,1),(93,1)}
         9:{2,3,5}:{(3,1),(19,1),(20,1),(21,1)}
        10:{1,2,4}:{(4,1),(18,1),(22,1),(23,1),(59,1)}
        11:{2,3}:{(4,1),(22,1)}
        12:{2,5}:{(4,1),(5,1),(26,1)}
        13:{1,4,5}:{(5,1),(6,1),(25,1),(27,1),(59,1),(103,1)}
        14:{1,3,6}:{(5,1),(7,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,4,5}:{(6,1),(29,1),(93,1),(128,1)}
        16:{2,4,6}:{(6,1),(7,1),(27,1),(29,1),(30,1),(31,1)}
        17:{2,3,7}:{(7,1),(28,1),(31,1)}
        18:{2,4}:{(8,1),(32,1),(33,1)}
        19:{1,3,5}:{(8,1),(9,1),(33,1),(34,1),(35,1),(74,1)}
        20:{2,4,5}:{(9,1),(34,1),(36,1),(37,1),(41,1),(85,1)}
        21:{2,3,6}:{(9,1),(35,1),(37,1),(38,1)}
        22:{1,3}:{(10,1),(11,1),(32,1)}
        23:{1,2,5}:{(10,1),(12,1),(33,1),(39,1),(40,1)}
        24:{2,3,5}:{(11,1),(12,1),(39,1),(41,1),(42,1),(43,1),(85,1)}
        25:{2,4,5}:{(12,1),(13,1),(41,1),(43,1),(44,1),(85,1),(122,1)}
        26:{2,6}:{(12,1),(14,1),(45,1)}
        27:{1,4,6}:{(13,1),(14,1),(16,1),(44,1),(46,1),(47,1)}
        28:{1,3,7}:{(14,1),(17,1),(45,1),(47,1),(88,1)}
        29:{3,4,6}:{(15,1),(16,1),(48,1),(49,1)}
        30:{2,5,6}:{(16,1),(46,1),(48,1),(50,1),(113,1),(141,1)}
        31:{2,4,7}:{(16,1),(17,1),(47,1),(49,1),(50,1)}
        32:{2,3}:{(18,1),(22,1)}
        33:{2,5}:{(18,1),(19,1),(53,1)}
        34:{1,4,5}:{(19,1),(20,1),(52,1),(54,1),(59,1),(103,1)}
        35:{1,3,6}:{(19,1),(21,1),(53,1),(54,1),(55,1),(96,1)}
        36:{3,4,5}:{(20,1),(56,1),(62,1),(105,1)}
        37:{2,4,6}:{(20,1),(21,1),(54,1),(56,1),(57,1),(58,1)}
        38:{2,3,7}:{(21,1),(55,1),(58,1)}
        39:{1,3,5}:{(22,1),(23,1),(24,1),(51,1),(59,1),(60,1),(103,1)}
        40:{1,2,6}:{(23,1),(26,1),(53,1),(60,1),(61,1)}
        41:{2,4}:{(24,1),(59,1),(62,1)}
        42:{2,3,6}:{(24,1),(26,1),(60,1),(63,1),(64,1),(65,1)}
        43:{3,5}:{(25,1),(62,1),(65,1)}
        44:{2,4,6}:{(25,1),(26,1),(27,1),(65,1),(66,1),(67,1),(108,1)}
        45:{2,7}:{(26,1),(28,1)}
        46:{1,5,6}:{(27,1),(30,1),(66,1),(68,1),(103,1),(135,1)}
        47:{1,4,7}:{(27,1),(28,1),(31,1),(67,1),(68,1)}
        48:{3,5,6}:{(29,1),(30,1),(69,1),(70,1),(128,1),(148,1)}
        49:{3,4,7}:{(29,1),(31,1),(70,1)}
        50:{2,5,7}:{(30,1),(31,1),(68,1),(70,1),(71,1)}
        51:{2,3,5}:{(32,1),(33,1),(39,1),(72,1),(73,1),(74,1),(113,1)}
        52:{2,4,5}:{(33,1),(34,1),(72,1),(74,1),(75,1),(113,1),(139,1)}
        53:{2,6}:{(33,1),(35,1),(76,1)}
        54:{1,4,6}:{(34,1),(35,1),(37,1),(75,1),(77,1),(78,1)}
        55:{1,3,7}:{(35,1),(38,1),(76,1),(78,1),(116,1)}
        56:{3,4,6}:{(36,1),(37,1),(79,1),(80,1)}
        57:{2,5,6}:{(37,1),(77,1),(79,1),(81,1),(85,1),(124,1)}
        58:{2,4,7}:{(37,1),(38,1),(78,1),(80,1),(81,1)}
        59:{1,4}:{(39,1),(41,1),(72,1)}
        60:{1,3,6}:{(39,1),(40,1),(42,1),(73,1),(82,1),(83,1)}
        61:{1,2,7}:{(40,1),(45,1),(76,1),(83,1)}
        62:{3,4}:{(41,1),(43,1)}
        63:{2,4,6}:{(41,1),(42,1),(82,1),(84,1),(85,1),(86,1),(124,1)}
        64:{2,3,7}:{(42,1),(45,1),(83,1),(86,1),(88,1)}
        65:{3,6}:{(43,1),(44,1),(88,1)}
        66:{2,5,6}:{(44,1),(46,1),(85,1),(87,1),(89,1),(124,1)}
        67:{2,4,7}:{(44,1),(45,1),(47,1),(88,1),(89,1),(125,1)}
        68:{1,5,7}:{(46,1),(47,1),(50,1),(89,1),(90,1)}
        69:{4,5,6}:{(48,1),(91,1),(139,1),(151,1)}
        70:{3,5,7}:{(48,1),(49,1),(50,1),(91,1),(92,1)}
        71:{2,6,7}:{(50,1),(90,1),(92,1),(141,1)}
        72:{2,4}:{(51,1),(59,1),(93,1)}
        73:{2,3,6}:{(51,1),(53,1),(60,1),(94,1),(95,1),(96,1)}
        74:{3,5}:{(52,1),(93,1),(96,1)}
        75:{2,4,6}:{(52,1),(53,1),(54,1),(96,1),(97,1),(98,1),(131,1)}
        76:{2,7}:{(53,1),(55,1)}
        77:{1,5,6}:{(54,1),(57,1),(97,1),(99,1),(103,1),(135,1)}
        78:{1,4,7}:{(54,1),(55,1),(58,1),(98,1),(99,1)}
        79:{3,5,6}:{(56,1),(57,1),(100,1),(101,1),(105,1),(137,1)}
        80:{3,4,7}:{(56,1),(58,1),(101,1)}
        81:{2,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1)}
        82:{1,4,6}:{(59,1),(60,1),(63,1),(94,1),(103,1),(104,1),(135,1)}
        83:{1,3,7}:{(60,1),(61,1),(64,1),(95,1),(104,1)}
        84:{3,4,6}:{(62,1),(63,1),(65,1),(105,1),(106,1),(108,1),(137,1)}
        85:{2,5}:{(63,1),(103,1),(105,1)}
        86:{2,4,7}:{(63,1),(64,1),(104,1),(106,1),(107,1)}
        87:{3,5,6}:{(65,1),(66,1),(105,1),(108,1),(109,1),(137,1),(150,1)}
        88:{3,7}:{(65,1),(67,1)}
        89:{2,5,7}:{(66,1),(67,1),(68,1),(109,1),(110,1)}
        90:{1,6,7}:{(68,1),(71,1),(110,1),(135,1)}
        91:{4,5,7}:{(69,1),(70,1),(111,1)}
        92:{3,6,7}:{(70,1),(71,1),(111,1),(148,1)}
        93:{3,4}:{(72,1),(74,1)}
        94:{2,4,6}:{(72,1),(73,1),(82,1),(112,1),(113,1),(114,1),(141,1)}
        95:{2,3,7}:{(73,1),(76,1),(83,1),(114,1),(116,1)}
        96:{3,6}:{(74,1),(75,1),(116,1)}
        97:{2,5,6}:{(75,1),(77,1),(113,1),(115,1),(117,1),(141,1)}
        98:{2,4,7}:{(75,1),(76,1),(78,1),(116,1),(117,1),(142,1)}
        99:{1,5,7}:{(77,1),(78,1),(81,1),(117,1),(118,1)}
       100:{4,5,6}:{(79,1),(119,1),(122,1),(145,1)}
       101:{3,5,7}:{(79,1),(80,1),(81,1),(119,1),(120,1)}
       102:{2,6,7}:{(81,1),(118,1),(120,1),(124,1)}
       103:{1,5}:{(82,1),(85,1),(113,1)}
       104:{1,4,7}:{(82,1),(83,1),(86,1),(114,1),(121,1)}
       105:{3,5}:{(84,1),(85,1),(122,1)}
       106:{3,4,7}:{(84,1),(86,1),(88,1),(123,1),(125,1)}
       107:{2,5,7}:{(85,1),(86,1),(121,1),(123,1),(124,1)}
       108:{4,6}:{(87,1),(122,1),(125,1)}
       109:{3,5,7}:{(87,1),(88,1),(89,1),(125,1),(126,1),(146,1)}
       110:{2,6,7}:{(89,1),(90,1),(124,1),(126,1)}
       111:{4,6,7}:{(91,1),(92,1),(127,1),(151,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(128,1),(129,1),(131,1),(148,1)}
       113:{2,5}:{(94,1),(103,1),(128,1)}
       114:{2,4,7}:{(94,1),(95,1),(104,1),(129,1),(130,1)}
       115:{3,5,6}:{(96,1),(97,1),(128,1),(131,1),(132,1),(148,1),(153,1)}
       116:{3,7}:{(96,1),(98,1)}
       117:{2,5,7}:{(97,1),(98,1),(99,1),(132,1),(133,1)}
       118:{1,6,7}:{(99,1),(102,1),(133,1),(135,1)}
       119:{4,5,7}:{(100,1),(101,1),(134,1)}
       120:{3,6,7}:{(101,1),(102,1),(134,1),(137,1)}
       121:{1,5,7}:{(103,1),(104,1),(107,1),(130,1),(135,1)}
       122:{4,5}:{(105,1),(108,1)}
       123:{3,5,7}:{(105,1),(106,1),(107,1),(136,1),(137,1)}
       124:{2,6}:{(107,1),(135,1),(137,1)}
       125:{4,7}:{(108,1),(109,1)}
       126:{3,6,7}:{(109,1),(110,1),(137,1),(138,1)}
       127:{5,6,7}:{(111,1),(153,1)}
       128:{3,5}:{(112,1),(113,1),(139,1)}
       129:{3,4,7}:{(112,1),(114,1),(116,1),(140,1),(142,1)}
       130:{2,5,7}:{(113,1),(114,1),(121,1),(140,1),(141,1)}
       131:{4,6}:{(115,1),(139,1),(142,1)}
       132:{3,5,7}:{(115,1),(116,1),(117,1),(142,1),(143,1),(152,1)}
       133:{2,6,7}:{(117,1),(118,1),(141,1),(143,1)}
       134:{4,6,7}:{(119,1),(120,1),(144,1),(145,1)}
       135:{1,6}:{(121,1),(124,1),(141,1)}
       136:{4,5,7}:{(122,1),(123,1),(125,1),(145,1),(146,1)}
       137:{3,6}:{(123,1),(124,1),(145,1)}
       138:{4,6,7}:{(125,1),(126,1),(145,1),(146,1)}
       139:{4,5}:{(128,1),(131,1)}
       140:{3,5,7}:{(128,1),(129,1),(130,1),(147,1),(148,1)}
       141:{2,6}:{(130,1),(135,1),(148,1)}
       142:{4,7}:{(131,1),(132,1)}
       143:{3,6,7}:{(132,1),(133,1),(148,1),(149,1)}
       144:{5,6,7}:{(134,1),(150,1)}
       145:{4,6}:{(136,1),(137,1),(150,1)}
       146:{5,7}:{(138,1),(150,1)}
       147:{4,5,7}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{3,6}:{(140,1),(141,1),(151,1)}
       149:{4,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(148,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 463 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 464 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 465 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(43,1),(68,1),(80,1),(84,1),(87,1),(121,1),(128,1),(226,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(22,1),(49,1),(55,1),(58,1),(98,1),(107,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(65,1),(114,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(8,1),(9,1),(34,1),(36,1),(128,1),(138,1),(144,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(37,1),(127,1),(145,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(13,1),(44,1),(84,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(115,1),(159,1),(160,1),(161,1),(169,1),(205,1),(211,1),(229,1),(241,1)}
         8:{2,3,6,7}:{(3,1),(15,1),(18,1),(58,1),(100,1),(166,1),(229,1)}
         9:{2,5,7}:{(3,1),(4,1),(19,1),(158,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(19,1),(22,1),(58,1),(112,1),(116,1)}
        11:{1,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(49,1),(97,1)}
        12:{2,3,5,6,7}:{(5,1),(21,1),(24,1),(65,1),(109,1),(114,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(65,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(8,1),(27,1),(29,1),(73,1),(130,1),(187,1),(226,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(9,1),(29,1),(30,1),(66,1),(145,1),(185,1),(192,1),(222,1),(237,1)}
        17:{2,3,4,6,7}:{(8,1),(28,1),(32,1),(34,1),(76,1),(79,1),(122,1),(128,1),(133,1),(175,1),(182,1),(244,1)}
        18:{2,3,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(37,1),(237,1),(244,1)}
        19:{2,5,6}:{(9,1),(10,1),(36,1),(144,1)}
        20:{2,4,5,7}:{(9,1),(11,1),(34,1),(36,1),(37,1),(78,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(35,1),(38,1),(82,1),(86,1),(141,1),(145,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(36,1)}
        23:{1,3,4,5,7}:{(11,1),(14,1),(37,1),(40,1),(41,1),(72,1),(85,1),(86,1),(127,1),(135,1),(139,1),(188,1),(191,1),(224,1),(226,1)}
        24:{2,4,6,7}:{(12,1),(13,1),(38,1),(42,1),(43,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(42,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(169,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(17,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(19,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(20,1),(49,1),(50,1),(51,1),(64,1),(91,1),(97,1),(99,1),(113,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        32:{2,3,5,7}:{(17,1),(47,1),(52,1),(53,1),(105,1),(158,1),(162,1),(204,1)}
        33:{2,3,5,6}:{(18,1),(19,1),(48,1),(54,1),(58,1),(100,1),(105,1),(158,1),(231,1),(233,1),(242,1)}
        34:{2,4,7}:{(18,1),(49,1),(54,1),(55,1)}
        35:{2,5,6,7}:{(19,1),(21,1),(56,1),(114,1),(169,1)}
        36:{2,4,6}:{(19,1),(20,1),(22,1),(58,1)}
        37:{3,5,7}:{(20,1),(55,1),(58,1),(105,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(60,1)}
        39:{1,4,5,6}:{(22,1),(25,1),(57,1),(60,1),(62,1),(97,1),(116,1),(170,1)}
        40:{1,3,4,6}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(110,1),(112,1),(170,1),(212,1)}
        41:{2,4,5,7}:{(23,1),(59,1),(63,1),(64,1),(99,1),(113,1),(114,1),(158,1),(163,1),(167,1),(209,1),(211,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(60,1),(65,1),(114,1),(211,1)}
        43:{3,4,6,7}:{(24,1),(26,1),(65,1)}
        44:{3,5,6}:{(25,1),(26,1),(65,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(192,1),(226,1)}
        47:{1,3,5,7}:{(28,1),(32,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(34,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(36,1),(71,1),(73,1),(89,1),(118,1),(128,1),(144,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(37,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(226,1),(239,1),(244,1)}
        52:{2,3,5,6}:{(32,1),(69,1),(76,1),(134,1),(175,1),(183,1)}
        53:{2,4,5,7}:{(32,1),(34,1),(70,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(34,1),(71,1),(78,1),(79,1),(240,1)}
        55:{3,4,7}:{(34,1),(37,1),(79,1),(244,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(38,1),(81,1),(82,1)}
        57:{2,4,5,6}:{(36,1),(39,1),(78,1),(81,1),(83,1),(88,1),(142,1)}
        58:{3,6}:{(36,1),(37,1)}
        59:{2,3,5,7}:{(37,1),(41,1),(80,1),(84,1),(85,1),(136,1),(224,1),(226,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(42,1),(81,1),(86,1),(145,1),(191,1)}
        61:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(82,1),(86,1),(87,1),(139,1),(141,1),(191,1),(226,1)}
        62:{1,3,5,6}:{(39,1),(40,1),(44,1),(83,1),(86,1),(88,1),(127,1)}
        63:{2,4,6}:{(40,1),(41,1),(84,1),(88,1),(89,1),(144,1)}
        64:{1,4,5,7}:{(41,1),(85,1),(89,1),(129,1),(145,1),(185,1),(188,1),(191,1)}
        65:{3,5,7}:{(42,1),(43,1),(44,1),(226,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(210,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(52,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(53,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(54,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(55,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(58,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(113,1),(158,1),(166,1),(199,1),(203,1),(210,1),(233,1)}
        75:{2,3,5,6,7}:{(52,1),(94,1),(102,1),(162,1),(195,1),(204,1)}
        76:{2,4,6}:{(52,1),(53,1),(95,1),(104,1)}
        77:{3,4,5,7}:{(53,1),(55,1),(104,1),(105,1),(162,1)}
        78:{2,4,5}:{(54,1),(97,1),(105,1),(158,1)}
        79:{3,4,6}:{(54,1),(55,1),(58,1),(105,1),(242,1),(243,1)}
        80:{2,3,4,7}:{(55,1),(59,1),(99,1),(106,1),(107,1),(167,1),(203,1),(235,1)}
        81:{2,4,5,7}:{(56,1),(57,1),(60,1),(108,1),(114,1),(167,1)}
        82:{3,6,7}:{(56,1),(58,1),(108,1)}
        83:{3,5,6}:{(57,1),(58,1),(105,1),(108,1),(110,1)}
        84:{2,3,6}:{(58,1),(59,1),(63,1),(112,1),(212,1)}
        85:{1,3,5,7}:{(59,1),(64,1),(107,1),(112,1),(113,1),(164,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(108,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(63,1),(109,1),(114,1),(115,1),(167,1),(169,1),(211,1)}
        88:{2,5,6}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        89:{1,4,6}:{(63,1),(64,1),(112,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(225,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(226,1)}
        94:{1,3,5,6,7}:{(69,1),(75,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(76,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(77,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(78,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(79,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(225,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(144,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{2,4,6,7}:{(75,1),(76,1),(123,1),(132,1),(133,1)}
       103:{2,4,5,6}:{(76,1),(78,1),(124,1),(132,1),(134,1),(183,1),(238,1)}
       104:{3,4,6}:{(76,1),(77,1),(134,1)}
       105:{3,5}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(84,1),(128,1),(136,1),(137,1),(142,1),(221,1),(240,1)}
       107:{1,3,4,7}:{(80,1),(85,1),(129,1),(137,1),(138,1),(187,1),(191,1),(226,1)}
       108:{3,5,7}:{(81,1),(82,1),(83,1),(139,1)}
       109:{2,3,6,7}:{(82,1),(84,1),(87,1),(140,1),(141,1),(226,1)}
       110:{3,4,6}:{(83,1),(135,1),(139,1),(142,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(88,1),(136,1),(140,1),(142,1),(143,1)}
       112:{1,3,6}:{(84,1),(85,1),(89,1),(144,1)}
       113:{2,5,7}:{(85,1),(138,1),(144,1),(189,1)}
       114:{2,5,7}:{(86,1),(87,1),(88,1),(145,1)}
       115:{1,4,6,7}:{(87,1),(89,1),(141,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(145,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(166,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(102,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(103,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(104,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(105,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(113,1),(160,1),(161,1),(199,1),(207,1)}
       132:{2,4,5,7}:{(102,1),(103,1),(153,1),(162,1),(204,1),(241,1)}
       133:{3,4,6,7}:{(102,1),(104,1),(162,1)}
       134:{3,5,6}:{(103,1),(104,1),(105,1),(162,1),(242,1)}
       135:{3,4,5}:{(105,1),(110,1),(163,1),(243,1)}
       136:{2,3,5}:{(105,1),(106,1),(158,1),(163,1),(164,1)}
       137:{1,3,4,6}:{(106,1),(107,1),(112,1),(159,1),(164,1),(165,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       138:{2,4,7}:{(107,1),(113,1),(165,1),(166,1)}
       139:{3,4,7}:{(108,1),(110,1),(167,1)}
       140:{2,3,5,7}:{(108,1),(109,1),(111,1),(114,1),(167,1),(168,1)}
       141:{1,3,6,7}:{(109,1),(112,1),(115,1),(168,1),(169,1)}
       142:{2,4,6}:{(110,1),(111,1),(163,1),(167,1),(170,1)}
       143:{1,3,5,6}:{(111,1),(112,1),(116,1),(164,1),(168,1),(170,1),(171,1),(212,1)}
       144:{2,6}:{(112,1),(113,1)}
       145:{1,5,7}:{(114,1),(115,1),(116,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(190,1),(216,1),(225,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(132,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(133,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(134,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(138,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(144,1),(218,1)}
       162:{3,5,7}:{(132,1),(133,1),(134,1),(244,1)}
       163:{2,4,5}:{(135,1),(136,1),(142,1),(188,1),(240,1)}
       164:{1,3,5}:{(136,1),(137,1),(185,1),(188,1),(189,1),(224,1)}
       165:{2,4,6}:{(137,1),(138,1),(144,1),(189,1),(190,1),(225,1)}
       166:{2,3,7}:{(138,1),(187,1),(190,1),(226,1)}
       167:{2,4,7}:{(139,1),(140,1),(142,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(143,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,6,7}:{(141,1),(144,1),(192,1)}
       170:{1,4,6}:{(142,1),(143,1),(188,1),(191,1),(193,1)}
       171:{2,5,6}:{(143,1),(144,1),(189,1),(192,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(162,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(165,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(166,1),(203,1),(208,1)}
       188:{1,4,5}:{(163,1),(164,1),(170,1),(209,1),(234,1)}
       189:{2,5}:{(164,1),(165,1)}
       190:{2,3,6}:{(165,1),(166,1),(208,1),(210,1),(212,1)}
       191:{1,4,7}:{(167,1),(168,1),(170,1),(211,1)}
       192:{2,5,7}:{(168,1),(169,1),(171,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(211,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(225,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(189,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(190,1),(221,1),(223,1)}
       209:{2,4,5}:{(188,1),(189,1),(193,1),(224,1),(225,1)}
       210:{2,3,5}:{(189,1),(190,1),(223,1),(224,1),(225,1)}
       211:{2,4,7}:{(191,1),(192,1),(193,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,5}:{(209,1),(212,1),(235,1)}
       225:{2,4}:{(210,1),(234,1),(235,1)}
       226:{3,7}:{(211,1),(212,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(225,1),(240,1)}
       235:{3,4}:{(224,1),(225,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 466 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(31,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(42,1),(83,1),(84,1),(85,1),(175,1),(276,1),(289,1),(294,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(60,1),(118,1),(154,1),(239,1),(328,1),(357,1)}
         3:{3,5,6}:{(0,1),(13,1),(15,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(15,1),(16,1),(52,1),(61,1),(146,1),(147,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(13,1),(17,1),(228,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(348,1),(352,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(58,1),(60,1),(73,1),(125,1),(129,1),(138,1),(143,1),(151,1),(247,1),(259,1),(350,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(61,1),(128,1),(130,1),(230,1),(334,1),(353,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(97,1),(198,1),(204,1),(271,1),(272,1),(313,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(296,1),(408,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(89,1),(98,1),(167,1),(197,1),(279,1)}
        12:{1,3,4,5}:{(5,1),(25,1),(29,1),(37,1),(76,1),(91,1),(105,1),(161,1),(188,1),(268,1),(296,1)}
        13:{3,4,6}:{(3,1),(5,1),(31,1),(32,1),(471,1)}
        14:{2,3,5,6}:{(3,1),(6,1),(26,1),(31,1),(33,1),(34,1),(42,1),(85,1),(108,1)}
        15:{3,5,7}:{(3,1),(4,1),(32,1),(35,1),(277,1)}
        16:{2,4,6,7}:{(4,1),(28,1),(35,1),(36,1),(90,1),(104,1),(393,1)}
        17:{2,4,5}:{(5,1),(6,1),(31,1),(37,1),(175,1)}
        18:{3,4,5,7}:{(5,1),(32,1),(38,1),(39,1),(100,1),(286,1),(389,1),(400,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(306,1),(317,1),(403,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(406,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(179,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(96,1),(98,1),(180,1),(190,1),(195,1),(202,1),(404,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(143,1),(250,1),(365,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(144,1),(221,1),(222,1),(253,1),(367,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(13,1),(45,1),(49,1),(50,1),(60,1),(118,1),(129,1),(143,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(352,1),(453,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(15,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(16,1),(48,1),(53,1),(54,1),(135,1),(357,1)}
        29:{2,4,5}:{(12,1),(49,1),(55,1),(56,1),(136,1),(243,1),(352,1)}
        30:{1,2,4,6}:{(21,1),(57,1),(58,1),(59,1),(127,1),(138,1),(140,1),(226,1),(234,1),(247,1),(350,1)}
        31:{2,4,6}:{(13,1),(14,1),(17,1),(60,1),(61,1)}
        32:{3,4,7}:{(13,1),(15,1),(61,1),(440,1)}
        33:{1,3,5,6}:{(14,1),(19,1),(51,1),(60,1),(63,1),(64,1),(73,1),(129,1),(143,1),(154,1),(260,1)}
        34:{2,3,5,7}:{(14,1),(15,1),(52,1),(61,1),(64,1),(65,1),(130,1),(146,1)}
        35:{3,6,7}:{(15,1),(16,1),(438,1)}
        36:{2,5,6,7}:{(16,1),(54,1),(66,1),(146,1),(336,1),(442,1)}
        37:{1,4,5}:{(17,1),(19,1),(60,1),(67,1),(138,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(61,1),(68,1),(69,1),(146,1),(230,1),(348,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(451,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(453,1)}
        43:{2,3,6}:{(21,1),(58,1),(71,1),(75,1),(143,1),(227,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(236,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(85,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(195,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(90,1),(173,1),(313,1)}
        49:{2,4,6}:{(25,1),(26,1),(29,1),(85,1),(86,1),(87,1),(179,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(32,1),(78,1),(87,1),(98,1),(167,1),(180,1),(195,1),(277,1)}
        51:{1,5,6}:{(26,1),(86,1),(89,1),(403,1),(487,1)}
        52:{2,5,7}:{(26,1),(27,1),(87,1),(89,1),(90,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(35,1),(81,1),(90,1),(408,1)}
        54:{1,5,6,7}:{(28,1),(36,1),(82,1),(197,1),(279,1),(410,1)}
        55:{2,3,5}:{(29,1),(83,1),(85,1),(91,1),(105,1),(268,1)}
        56:{1,4,5}:{(29,1),(86,1),(91,1),(301,1),(403,1)}
        57:{1,2,5}:{(30,1),(40,1),(93,1),(177,1),(306,1),(403,1)}
        58:{1,3,6}:{(30,1),(43,1),(84,1),(93,1),(96,1),(283,1)}
        59:{1,2,4,7}:{(30,1),(44,1),(94,1),(96,1),(178,1),(190,1),(293,1),(404,1)}
        60:{1,4,6}:{(31,1),(33,1),(37,1),(97,1),(98,1),(318,1)}
        61:{2,4,7}:{(31,1),(32,1),(34,1),(98,1)}
        62:{3,4,6,7}:{(32,1),(35,1),(39,1),(99,1),(100,1),(104,1)}
        63:{2,5,6}:{(33,1),(40,1),(97,1),(102,1),(112,1),(179,1)}
        64:{1,3,5,7}:{(33,1),(34,1),(89,1),(98,1),(102,1),(103,1),(180,1),(195,1),(197,1),(311,1)}
        65:{2,3,6,7}:{(34,1),(35,1),(42,1),(90,1),(99,1),(103,1)}
        66:{3,5,6,7}:{(35,1),(36,1),(100,1),(104,1),(391,1),(479,1)}
        67:{2,4,5}:{(37,1),(40,1),(97,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(98,1),(106,1),(107,1),(190,1),(197,1),(306,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(100,1),(108,1),(109,1),(400,1)}
        71:{2,3,5}:{(40,1),(43,1),(93,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(487,1)}
        74:{2,3,4,6}:{(43,1),(95,1),(110,1),(113,1),(114,1),(194,1),(205,1),(207,1),(209,1),(284,1),(294,1),(397,1)}
        75:{2,3,7}:{(43,1),(44,1),(96,1),(195,1)}
        76:{3,4,5}:{(45,1),(115,1),(250,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(367,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(129,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(130,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(365,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(253,1),(369,1)}
        83:{2,3,4}:{(55,1),(125,1),(151,1),(243,1),(325,1),(340,1)}
        84:{2,3,6}:{(58,1),(126,1),(127,1),(128,1),(340,1),(343,1)}
        85:{2,3,6}:{(49,1),(55,1),(129,1),(130,1),(143,1),(218,1)}
        86:{1,4,6}:{(49,1),(51,1),(56,1),(129,1),(132,1)}
        87:{2,4,7}:{(49,1),(50,1),(52,1),(130,1),(132,1),(236,1)}
        88:{1,2,5,6}:{(51,1),(57,1),(63,1),(121,1),(131,1),(133,1),(134,1),(140,1),(232,1),(234,1),(321,1),(352,1),(423,1),(450,1),(453,1),(503,1)}
        89:{1,5,7}:{(51,1),(52,1),(132,1),(135,1)}
        90:{2,6,7}:{(52,1),(53,1),(135,1),(453,1)}
        91:{1,3,5}:{(55,1),(56,1),(125,1),(129,1),(136,1)}
        92:{1,2,4,5}:{(56,1),(57,1),(67,1),(131,1),(136,1),(137,1),(138,1),(212,1),(226,1),(229,1),(239,1),(243,1),(321,1),(352,1),(359,1),(421,1),(443,1),(491,1)}
        93:{1,3,5}:{(57,1),(58,1),(71,1),(126,1),(138,1)}
        94:{1,2,5,7}:{(57,1),(59,1),(72,1),(139,1),(140,1),(233,1),(451,1)}
        95:{1,3,4,6}:{(58,1),(74,1),(127,1),(138,1),(141,1),(142,1),(228,1),(245,1),(247,1),(249,1),(341,1),(343,1),(345,1),(350,1),(444,1)}
        96:{1,3,7}:{(58,1),(59,1),(75,1),(128,1)}
        97:{2,4,6}:{(60,1),(63,1),(67,1),(143,1),(144,1)}
        98:{1,4,7}:{(60,1),(61,1),(64,1),(144,1),(367,1)}
        99:{2,4,6,7}:{(61,1),(62,1),(65,1),(69,1),(145,1),(146,1)}
       100:{3,5,7}:{(62,1),(70,1),(146,1),(147,1)}
       101:{2,3,5,6}:{(63,1),(71,1),(133,1),(143,1),(148,1),(149,1),(157,1),(235,1),(250,1),(260,1),(263,1),(352,1),(365,1),(369,1),(420,1),(453,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
       102:{2,5,7}:{(63,1),(64,1),(144,1),(150,1),(236,1)}
       103:{1,3,6,7}:{(64,1),(65,1),(73,1),(135,1),(145,1),(150,1),(252,1)}
       104:{4,6,7}:{(66,1),(147,1),(440,1),(509,1)}
       105:{3,5}:{(67,1),(143,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(144,1),(152,1),(153,1),(156,1),(253,1),(263,1),(367,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(146,1),(154,1),(348,1)}
       109:{4,5,6}:{(70,1),(147,1),(448,1),(509,1)}
       110:{2,4}:{(71,1),(138,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(139,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(141,1),(155,1),(250,1),(263,1),(352,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(142,1),(156,1),(159,1),(251,1),(261,1),(353,1),(445,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(309,1),(416,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(85,1),(160,1),(164,1),(165,1),(194,1),(267,1),(294,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(179,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(89,1),(167,1),(171,1),(172,1),(180,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(90,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(311,1),(415,1)}
       125:{1,3,4}:{(83,1),(91,1),(174,1),(283,1),(301,1)}
       126:{2,3,5}:{(84,1),(93,1),(175,1),(177,1),(285,1)}
       127:{2,4,6}:{(84,1),(95,1),(175,1),(177,1),(178,1),(291,1),(395,1),(482,1)}
       128:{2,3,7}:{(84,1),(96,1),(178,1),(398,1)}
       129:{1,3,6}:{(85,1),(86,1),(91,1),(179,1),(180,1)}
       130:{2,3,7}:{(85,1),(87,1),(180,1),(195,1),(277,1)}
       131:{1,2,4,6}:{(86,1),(88,1),(92,1),(97,1),(166,1),(179,1),(181,1),(182,1),(183,1),(287,1),(294,1),(411,1),(482,1),(515,1)}
       132:{1,4,7}:{(86,1),(87,1),(89,1),(180,1)}
       133:{1,3,5,6}:{(88,1),(93,1),(101,1),(170,1),(181,1),(183,1),(184,1),(191,1),(292,1),(296,1),(306,1),(374,1),(403,1),(408,1),(410,1),(464,1),(487,1),(520,1)}
       134:{1,2,5,7}:{(88,1),(89,1),(102,1),(171,1),(182,1),(184,1),(185,1),(290,1),(293,1),(406,1),(486,1),(525,1)}
       135:{1,6,7}:{(89,1),(90,1),(487,1)}
       136:{2,5}:{(91,1),(174,1),(179,1)}
       137:{1,3,5}:{(92,1),(105,1),(181,1),(187,1),(188,1),(268,1),(283,1),(285,1),(513,1)}
       138:{1,4}:{(93,1),(110,1),(175,1)}
       139:{1,3,5,7}:{(93,1),(94,1),(96,1),(111,1),(176,1),(190,1),(191,1),(306,1)}
       140:{1,2,6}:{(94,1),(112,1),(191,1),(291,1),(487,1)}
       141:{1,3,5}:{(95,1),(113,1),(177,1),(189,1),(285,1),(306,1),(400,1),(403,1)}
       142:{1,3,4,7}:{(95,1),(96,1),(114,1),(178,1),(190,1),(193,1),(286,1),(304,1),(398,1),(404,1),(483,1)}
       143:{3,6}:{(97,1),(105,1),(195,1)}
       144:{2,4,7}:{(97,1),(98,1),(102,1),(195,1)}
       145:{1,4,6,7}:{(98,1),(99,1),(103,1),(107,1),(196,1),(197,1)}
       146:{2,5,7}:{(99,1),(100,1),(108,1),(197,1)}
       147:{4,5,7}:{(100,1),(104,1),(109,1)}
       148:{2,4,6}:{(101,1),(110,1),(183,1),(194,1),(198,1),(199,1),(318,1),(460,1),(551,1)}
       149:{2,3,5,7}:{(101,1),(102,1),(184,1),(195,1),(199,1),(200,1),(295,1),(309,1),(311,1),(314,1),(406,1),(525,1),(540,1),(550,1)}
       150:{2,6,7}:{(102,1),(103,1),(112,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(195,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(197,1),(204,1),(306,1)}
       155:{2,4,5}:{(110,1),(113,1),(189,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(190,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(191,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(192,1),(205,1),(208,1),(209,1),(308,1),(320,1),(397,1),(405,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(193,1),(206,1),(209,1),(309,1),(406,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(250,1),(352,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(365,1),(458,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(129,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(350,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(130,1),(211,1),(217,1),(251,1),(353,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(126,1),(133,1),(218,1),(223,1),(224,1),(231,1),(232,1),(235,1),(322,1),(333,1),(343,1),(348,1),(352,1),(426,1),(430,1),(438,1),(442,1),(447,1),(453,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(236,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(135,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(367,1),(458,1)}
       174:{2,4}:{(125,1),(136,1),(227,1)}
       175:{2,4}:{(126,1),(138,1),(228,1)}
       176:{2,3,5,7}:{(126,1),(128,1),(139,1),(230,1),(231,1),(233,1),(344,1),(348,1)}
       177:{2,5}:{(127,1),(141,1)}
       178:{2,4,7}:{(127,1),(128,1),(142,1),(233,1),(510,1)}
       179:{2,6}:{(129,1),(136,1),(236,1)}
       180:{1,3,7}:{(129,1),(130,1),(132,1),(236,1)}
       181:{1,3,6}:{(131,1),(137,1),(143,1),(218,1),(235,1),(238,1),(343,1),(529,1)}
       182:{1,2,4,7}:{(131,1),(132,1),(134,1),(144,1),(219,1),(236,1),(238,1),(240,1),(346,1),(353,1),(456,1),(510,1),(532,1)}
       183:{1,4,6}:{(133,1),(138,1),(148,1),(223,1),(239,1),(240,1),(421,1)}
       184:{1,3,5,7}:{(133,1),(134,1),(149,1),(224,1),(238,1),(240,1),(241,1),(351,1),(358,1),(451,1)}
       185:{1,2,6,7}:{(134,1),(135,1),(140,1),(150,1),(225,1),(241,1),(349,1),(423,1),(453,1),(512,1),(539,1)}
       186:{1,2,5}:{(136,1),(226,1),(234,1),(242,1),(443,1)}
       187:{2,3,5}:{(136,1),(137,1),(227,1),(235,1),(242,1),(243,1),(340,1),(352,1),(443,1)}
       188:{1,3,4}:{(137,1),(138,1),(151,1),(228,1),(243,1),(325,1),(421,1),(490,1)}
       189:{1,4,5}:{(138,1),(141,1),(155,1),(229,1),(245,1),(448,1)}
       190:{1,4,7}:{(138,1),(139,1),(156,1),(230,1),(247,1)}
       191:{1,3,6}:{(139,1),(140,1),(157,1),(231,1),(247,1)}
       192:{1,3,5,6}:{(141,1),(158,1),(232,1),(245,1),(248,1),(249,1),(343,1),(363,1),(444,1),(447,1),(450,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(159,1),(233,1),(246,1),(249,1),(344,1),(451,1)}
       194:{3,4,6}:{(143,1),(148,1),(151,1),(250,1),(251,1),(365,1),(490,1),(529,1)}
       195:{3,7}:{(143,1),(144,1)}
       196:{2,4,6,7}:{(144,1),(145,1),(150,1),(153,1),(252,1),(253,1),(367,1)}
       197:{1,5,7}:{(145,1),(146,1),(154,1),(253,1)}
       198:{2,4,5}:{(148,1),(239,1),(250,1),(263,1),(352,1),(372,1),(534,1),(548,1)}
       199:{2,4,7}:{(148,1),(149,1),(240,1),(251,1),(367,1),(552,1)}
       200:{2,3,6,7}:{(149,1),(150,1),(157,1),(241,1),(252,1),(256,1),(365,1),(453,1),(493,1),(539,1),(546,1)}
       201:{3,4,5}:{(151,1),(155,1),(250,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(367,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(253,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(245,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(246,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(247,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(248,1),(261,1),(264,1),(364,1),(373,1),(445,1),(452,1)}
       209:{2,3,6}:{(159,1),(249,1),(262,1),(365,1),(453,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(403,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(309,1),(406,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(179,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(180,1),(266,1),(275,1),(277,1),(380,1),(385,1),(404,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(175,1),(183,1),(276,1),(280,1),(281,1),(376,1),(471,1),(485,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(184,1),(277,1),(281,1),(282,1),(290,1),(295,1),(389,1),(391,1),(394,1),(398,1),(406,1),(484,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,4}:{(174,1),(186,1),(283,1),(301,1),(395,1)}
       227:{2,3}:{(174,1),(283,1)}
       228:{3,4}:{(175,1),(285,1)}
       229:{2,4,5}:{(175,1),(177,1),(189,1),(285,1),(287,1)}
       230:{2,4,7}:{(175,1),(176,1),(190,1),(286,1),(289,1)}
       231:{2,3,6}:{(176,1),(191,1),(289,1),(291,1),(399,1)}
       232:{2,5,6}:{(177,1),(192,1),(287,1),(290,1),(291,1),(482,1)}
       233:{2,5,7}:{(177,1),(178,1),(193,1),(291,1)}
       234:{1,2,6}:{(179,1),(186,1),(292,1),(293,1),(482,1)}
       235:{2,3,6}:{(179,1),(181,1),(187,1),(292,1),(294,1),(295,1),(482,1)}
       236:{2,7}:{(179,1),(180,1)}
       237:{1,3,4,6}:{(181,1),(183,1),(188,1),(194,1),(276,1),(294,1),(296,1),(297,1),(408,1)}
       238:{1,3,7}:{(181,1),(182,1),(195,1),(277,1),(295,1),(398,1),(540,1)}
       239:{1,4,5}:{(183,1),(198,1),(280,1),(296,1),(306,1),(403,1),(520,1)}
       240:{1,4,7}:{(183,1),(184,1),(199,1),(281,1)}
       241:{1,3,6,7}:{(184,1),(185,1),(191,1),(200,1),(282,1),(300,1),(408,1),(464,1),(487,1)}
       242:{1,3,5}:{(186,1),(187,1),(283,1),(292,1),(301,1),(403,1)}
       243:{2,4}:{(187,1),(188,1),(301,1)}
       244:{1,3,4,5}:{(188,1),(189,1),(201,1),(285,1),(296,1),(302,1),(303,1),(379,1),(396,1),(462,1),(513,1)}
       245:{1,4,6}:{(189,1),(192,1),(205,1),(287,1),(304,1),(485,1)}
       246:{1,4,5,7}:{(189,1),(190,1),(193,1),(206,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       247:{1,4,6}:{(190,1),(191,1),(207,1),(289,1),(306,1)}
       248:{1,3,5,7}:{(192,1),(208,1),(290,1),(304,1),(307,1),(398,1),(413,1),(483,1),(484,1),(486,1)}
       249:{1,3,6}:{(193,1),(209,1),(291,1),(305,1),(399,1),(487,1)}
       250:{3,5}:{(194,1),(198,1)}
       251:{3,4,7}:{(194,1),(195,1),(199,1),(309,1),(540,1)}
       252:{3,6,7}:{(195,1),(196,1),(203,1),(311,1)}
       253:{2,5,7}:{(196,1),(197,1),(204,1),(311,1)}
       254:{2,4,5,6}:{(198,1),(205,1),(298,1),(308,1),(312,1),(313,1),(320,1),(405,1),(419,1),(515,1),(544,1),(551,1)}
       255:{2,4,5,7}:{(198,1),(199,1),(299,1),(309,1),(313,1),(314,1),(406,1),(416,1)}
       256:{2,4,6,7}:{(199,1),(200,1),(207,1),(300,1),(310,1),(313,1),(314,1),(517,1)}
       257:{3,4,6}:{(201,1),(205,1),(308,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(309,1),(315,1),(316,1),(317,1),(416,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(311,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(304,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(305,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(306,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(307,1),(319,1),(414,1),(488,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(451,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(365,1),(453,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(458,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(234,1),(321,1),(329,1),(330,1),(350,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(227,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(236,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(228,1),(325,1),(333,1),(334,1),(343,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(239,1),(333,1),(348,1),(352,1),(448,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(240,1),(334,1),(440,1),(511,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(231,1),(241,1),(335,1),(339,1),(349,1),(426,1),(438,1),(446,1),(453,1)}
       283:{1,3}:{(226,1),(227,1),(340,1)}
       284:{2,3,4}:{(227,1),(228,1),(243,1),(341,1),(342,1),(490,1)}
       285:{3,5}:{(228,1),(229,1),(343,1)}
       286:{3,4,7}:{(228,1),(230,1),(344,1),(345,1),(511,1)}
       287:{2,4,6}:{(229,1),(232,1),(245,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(229,1),(230,1),(233,1),(246,1),(344,1),(346,1),(347,1),(348,1),(448,1),(449,1),(511,1)}
       289:{2,4,6}:{(230,1),(231,1),(247,1),(345,1),(348,1)}
       290:{2,5,7}:{(232,1),(248,1),(346,1),(349,1),(510,1)}
       291:{2,6}:{(233,1),(249,1)}
       292:{1,3,6}:{(234,1),(235,1),(242,1),(350,1),(351,1)}
       293:{1,2,7}:{(234,1),(236,1),(351,1),(510,1)}
       294:{2,4,6}:{(235,1),(237,1),(243,1),(350,1),(352,1),(353,1),(453,1)}
       295:{2,3,7}:{(235,1),(236,1),(238,1),(351,1),(353,1),(510,1)}
       296:{1,3,5}:{(237,1),(239,1),(250,1),(333,1),(352,1)}
       297:{1,3,4,7}:{(237,1),(238,1),(240,1),(251,1),(334,1),(353,1),(355,1)}
       298:{1,4,5,6}:{(239,1),(245,1),(254,1),(337,1),(354,1),(356,1),(357,1),(363,1),(450,1),(494,1),(536,1)}
       299:{1,4,5,7}:{(239,1),(240,1),(255,1),(338,1),(355,1),(357,1),(358,1),(451,1)}
       300:{1,4,6,7}:{(240,1),(241,1),(247,1),(256,1),(339,1),(357,1),(358,1),(496,1)}
       301:{1,4}:{(242,1),(243,1)}
       302:{2,4,5}:{(243,1),(244,1),(342,1),(352,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(244,1),(245,1),(257,1),(343,1),(354,1),(360,1),(361,1),(427,1),(444,1),(494,1),(529,1)}
       304:{1,4,7}:{(245,1),(248,1),(261,1),(346,1),(511,1)}
       305:{1,4,6}:{(246,1),(249,1),(262,1),(347,1),(363,1)}
       306:{1,5}:{(247,1),(263,1),(348,1)}
       307:{1,3,6,7}:{(248,1),(249,1),(264,1),(349,1),(362,1),(446,1),(512,1)}
       308:{3,5,6}:{(250,1),(254,1),(257,1),(364,1),(365,1),(529,1)}
       309:{3,5,7}:{(250,1),(251,1),(255,1),(365,1)}
       310:{3,4,6,7}:{(251,1),(252,1),(256,1),(259,1),(365,1),(366,1),(367,1),(458,1),(531,1),(546,1),(552,1)}
       311:{3,5,7}:{(252,1),(253,1),(260,1),(367,1)}
       312:{2,4,5,7}:{(254,1),(261,1),(356,1),(364,1),(368,1),(373,1),(452,1),(459,1),(532,1),(549,1),(552,1)}
       313:{2,4,6}:{(255,1),(357,1),(365,1),(369,1),(453,1),(458,1)}
       314:{2,5,7}:{(256,1),(263,1),(358,1),(366,1),(369,1),(534,1)}
       315:{3,4,7}:{(257,1),(261,1),(364,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(365,1),(371,1),(458,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(367,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(362,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(363,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(403,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(487,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(283,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(293,1),(375,1),(385,1),(404,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(284,1),(294,1),(376,1),(384,1),(386,1),(387,1),(397,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(398,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(287,1),(298,1),(388,1),(392,1),(393,1),(402,1),(405,1),(465,1),(485,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(299,1),(389,1),(393,1),(394,1),(406,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(289,1),(300,1),(390,1),(393,1),(394,1),(467,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(285,1),(302,1),(396,1),(397,1),(513,1)}
       343:{3,6}:{(285,1),(287,1),(398,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,4,6}:{(286,1),(289,1),(399,1),(400,1),(485,1)}
       346:{2,4,7}:{(287,1),(290,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(291,1),(305,1),(399,1),(402,1),(485,1)}
       348:{2,5}:{(289,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,4,6}:{(292,1),(294,1),(301,1),(403,1),(404,1),(487,1)}
       351:{1,3,7}:{(292,1),(293,1),(295,1),(404,1)}
       352:{2,5}:{(294,1),(296,1),(403,1)}
       353:{2,4,7}:{(294,1),(295,1),(297,1),(404,1),(406,1)}
       354:{1,3,5,6}:{(296,1),(298,1),(303,1),(308,1),(388,1),(405,1),(407,1),(408,1)}
       355:{1,3,5,7}:{(296,1),(297,1),(299,1),(309,1),(389,1),(406,1),(408,1)}
       356:{1,4,5,7}:{(298,1),(304,1),(312,1),(392,1),(407,1),(409,1),(413,1),(486,1),(518,1),(545,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(408,1),(410,1),(487,1)}
       358:{1,5,7}:{(300,1),(306,1),(314,1),(394,1),(410,1),(520,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(403,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(405,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(304,1),(315,1),(398,1),(407,1),(412,1),(468,1),(483,1),(518,1),(540,1)}
       362:{1,4,6,7}:{(304,1),(305,1),(307,1),(319,1),(401,1),(413,1)}
       363:{1,5,6}:{(305,1),(306,1),(320,1),(402,1),(413,1)}
       364:{3,5,7}:{(308,1),(312,1),(315,1),(414,1),(540,1)}
       365:{3,6}:{(309,1),(313,1)}
       366:{3,5,7}:{(310,1),(314,1),(317,1),(415,1),(416,1),(542,1)}
       367:{4,7}:{(311,1),(318,1)}
       368:{2,4,6,7}:{(312,1),(313,1),(409,1),(414,1),(417,1),(488,1),(489,1)}
       369:{2,5,6}:{(313,1),(314,1),(410,1),(415,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(414,1),(418,1),(489,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(451,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(448,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(340,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(341,1),(350,1),(421,1),(431,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(352,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(353,1),(425,1),(434,1),(436,1),(445,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(343,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(345,1),(429,1),(438,1),(439,1),(440,1),(446,1),(509,1),(511,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(356,1),(437,1),(441,1),(449,1),(452,1),(497,1),(511,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(357,1),(438,1),(442,1),(453,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(358,1),(439,1),(442,1),(499,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(343,1),(360,1),(444,1),(445,1),(529,1)}
       398:{3,7}:{(343,1),(346,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,5}:{(345,1),(348,1),(448,1)}
       401:{2,4,6,7}:{(346,1),(347,1),(349,1),(362,1),(446,1),(449,1),(511,1)}
       402:{2,5,6}:{(347,1),(348,1),(363,1),(447,1),(449,1)}
       403:{1,5}:{(350,1),(352,1)}
       404:{1,4,7}:{(350,1),(351,1),(353,1),(451,1)}
       405:{2,5,6}:{(352,1),(354,1),(360,1),(450,1),(452,1),(453,1)}
       406:{2,5,7}:{(352,1),(353,1),(355,1),(451,1),(453,1)}
       407:{1,3,5,7}:{(354,1),(356,1),(361,1),(364,1),(437,1),(452,1),(454,1)}
       408:{1,3,6}:{(355,1),(357,1),(365,1),(438,1),(453,1)}
       409:{1,4,6,7}:{(356,1),(357,1),(368,1),(441,1),(454,1),(455,1),(512,1)}
       410:{1,5,6}:{(357,1),(358,1),(369,1),(442,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(450,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(452,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{3,6,7}:{(364,1),(365,1),(368,1)}
       415:{3,5,6}:{(365,1),(366,1),(369,1),(458,1)}
       416:{4,5,7}:{(366,1),(367,1),(372,1),(458,1),(548,1),(552,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(457,1),(549,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(458,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(487,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(485,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(395,1),(460,1),(472,1),(473,1),(482,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(403,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(404,1),(463,1),(473,1),(475,1),(483,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(405,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(406,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(398,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(400,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(409,1),(478,1),(481,1),(488,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(410,1),(479,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(398,1),(412,1),(483,1),(540,1)}
       446:{3,6,7}:{(398,1),(399,1),(401,1),(484,1)}
       447:{3,5,6}:{(399,1),(400,1),(402,1),(484,1),(485,1)}
       448:{4,5}:{(400,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(484,1)}
       450:{1,5,6}:{(403,1),(405,1),(411,1),(486,1),(487,1)}
       451:{1,5,7}:{(403,1),(404,1),(406,1),(487,1)}
       452:{2,5,7}:{(405,1),(407,1),(412,1),(486,1),(488,1)}
       453:{2,6}:{(406,1),(408,1),(487,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(409,1),(414,1),(478,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(486,1)}
       457:{3,5,6,7}:{(414,1),(415,1),(417,1),(418,1),(489,1),(550,1)}
       458:{4,6}:{(415,1),(416,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(511,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(510,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(444,1),(450,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(451,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(452,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(453,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(448,1),(502,1),(509,1),(511,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(508,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{3,5,7}:{(446,1),(447,1),(449,1),(511,1)}
       485:{4,6}:{(447,1),(448,1),(511,1)}
       486:{1,5,7}:{(450,1),(452,1),(456,1),(512,1)}
       487:{1,6}:{(451,1),(453,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(482,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(483,1),(486,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(487,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(488,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(484,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(510,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 467 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 468 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(61,1),(107,1),(235,1),(304,1),(316,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(29,1),(44,1),(96,1),(148,1),(248,1),(350,1),(356,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(356,1),(368,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(76,1),(88,1),(95,1),(182,1),(290,1),(369,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(151,1),(155,1),(188,1),(193,1),(254,1),(266,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(24,1),(53,1),(61,1),(107,1),(200,1)}
         6:{3,4,6}:{(1,1),(15,1),(16,1),(396,1),(402,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(23,1),(55,1),(415,1)}
         8:{2,3,6}:{(2,1),(15,1),(19,1),(402,1),(414,1)}
         9:{2,4,7}:{(3,1),(18,1),(21,1),(22,1),(344,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(19,1),(22,1),(23,1),(49,1),(65,1),(115,1),(120,1),(129,1),(140,1),(145,1),(241,1),(244,1),(321,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(200,1),(307,1),(320,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(76,1),(369,1),(370,1)}
        13:{3,4,6,7}:{(6,1),(28,1),(29,1),(84,1),(96,1),(170,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(30,1),(31,1),(43,1),(76,1),(86,1),(95,1),(160,1)}
        15:{2,4,6}:{(5,1),(6,1),(8,1),(31,1),(32,1)}
        16:{3,5,6}:{(6,1),(29,1),(32,1),(33,1),(248,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(34,1),(35,1),(170,1),(275,1)}
        18:{2,5,7}:{(7,1),(9,1),(37,1),(42,1)}
        19:{1,3,6}:{(7,1),(8,1),(31,1),(37,1),(89,1),(453,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(32,1),(35,1),(38,1),(39,1),(92,1),(179,1),(188,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(182,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(160,1),(176,1),(373,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(18,1),(46,1),(47,1),(50,1),(109,1),(415,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(115,1),(120,1),(321,1),(322,1),(326,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(17,1),(52,1),(53,1),(61,1)}
        29:{3,5,7}:{(13,1),(16,1),(53,1),(54,1)}
        30:{2,4,5,7}:{(14,1),(18,1),(55,1),(56,1),(62,1),(70,1),(125,1),(135,1),(138,1),(223,1),(228,1)}
        31:{1,4,6}:{(14,1),(15,1),(19,1),(56,1),(57,1)}
        32:{2,5,6}:{(15,1),(16,1),(53,1),(57,1),(200,1)}
        33:{4,5,6}:{(16,1),(54,1),(301,1),(396,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(52,1),(59,1),(60,1),(124,1),(330,1)}
        35:{2,3,5,7}:{(17,1),(20,1),(53,1),(60,1),(61,1),(127,1),(225,1),(235,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(46,1),(55,1),(62,1),(63,1),(69,1),(138,1)}
        37:{2,6}:{(18,1),(19,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(23,1),(57,1),(60,1),(64,1),(65,1),(130,1),(140,1),(231,1),(241,1)}
        39:{2,4,6}:{(20,1),(24,1),(61,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(62,1),(67,1),(68,1),(234,1),(242,1),(316,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(140,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(65,1),(70,1),(120,1),(228,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(307,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(36,1),(72,1),(76,1),(77,1),(81,1),(160,1)}
        47:{1,2,6}:{(25,1),(37,1),(77,1),(153,1),(453,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(76,1),(79,1),(80,1),(148,1),(268,1),(362,1),(369,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(160,1),(373,1)}
        51:{3,5,6,7}:{(29,1),(83,1),(84,1),(170,1),(349,1),(512,1)}
        52:{1,4,6,7}:{(28,1),(31,1),(34,1),(85,1),(86,1),(95,1)}
        53:{2,5,7}:{(28,1),(29,1),(32,1),(86,1)}
        54:{4,5,7}:{(29,1),(33,1),(84,1)}
        55:{3,5,7}:{(30,1),(88,1),(89,1),(105,1),(176,1),(182,1)}
        56:{2,4,6}:{(30,1),(31,1),(37,1),(89,1),(90,1),(177,1)}
        57:{1,5,6}:{(31,1),(32,1),(86,1),(90,1),(160,1)}
        58:{2,4,5,6}:{(32,1),(33,1),(39,1),(87,1),(91,1),(92,1),(179,1),(253,1),(355,1),(388,1),(511,1),(540,1)}
        59:{2,6,7}:{(34,1),(37,1),(94,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(38,1),(86,1),(94,1),(95,1),(172,1),(182,1),(280,1),(290,1)}
        61:{2,4,7}:{(35,1),(39,1),(95,1),(96,1)}
        62:{2,4,7}:{(36,1),(76,1),(88,1),(98,1),(104,1)}
        63:{2,3,6}:{(36,1),(37,1),(77,1),(89,1),(98,1)}
        64:{2,5,6}:{(37,1),(38,1),(42,1),(94,1),(100,1),(295,1)}
        65:{1,4,6}:{(38,1),(39,1),(43,1),(95,1),(100,1),(177,1)}
        66:{3,4,6}:{(39,1),(44,1),(92,1),(96,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(97,1),(102,1),(103,1),(288,1),(368,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(98,1),(102,1),(103,1),(104,1),(187,1),(191,1),(258,1),(266,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(100,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(101,1),(105,1),(106,1),(166,1),(194,1),(265,1),(283,1),(387,1),(464,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(200,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,2,6,7}:{(47,1),(59,1),(112,1),(113,1),(202,1),(330,1),(414,1),(425,1),(484,1),(485,1),(524,1)}
        76:{1,4,7}:{(46,1),(62,1),(107,1),(115,1),(120,1)}
        77:{1,3,6}:{(46,1),(47,1),(63,1),(108,1),(115,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(64,1),(113,1),(116,1),(117,1),(203,1),(231,1),(320,1),(322,1),(339,1),(414,1),(418,1),(419,1),(481,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(114,1),(118,1),(119,1),(195,1),(415,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(115,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(321,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(211,1),(217,1),(245,1),(320,1),(325,1),(326,1),(411,1),(419,1),(429,1),(475,1),(487,1)}
        83:{2,5,6,7}:{(51,1),(53,1),(122,1),(123,1),(302,1),(489,1)}
        84:{4,6,7}:{(51,1),(54,1),(396,1),(529,1)}
        85:{2,4,6,7}:{(52,1),(56,1),(59,1),(124,1),(125,1),(135,1),(223,1)}
        86:{1,5,7}:{(52,1),(53,1),(57,1),(125,1)}
        87:{2,4,5,7}:{(53,1),(54,1),(58,1),(61,1),(123,1),(126,1),(127,1),(225,1),(428,1),(489,1),(529,1)}
        88:{3,4,7}:{(55,1),(62,1),(129,1),(145,1),(223,1)}
        89:{3,6}:{(55,1),(56,1)}
        90:{2,5,6}:{(56,1),(57,1),(125,1),(130,1),(138,1)}
        91:{1,4,5,6}:{(57,1),(58,1),(65,1),(126,1),(131,1),(132,1),(211,1),(231,1),(314,1),(338,1),(488,1)}
        92:{3,5,6}:{(58,1),(66,1),(127,1),(307,1),(402,1),(430,1)}
        93:{2,3,6,7}:{(59,1),(63,1),(112,1),(124,1),(133,1),(134,1),(341,1),(414,1),(524,1),(525,1),(544,1)}
        94:{2,5,7}:{(59,1),(60,1),(64,1),(135,1),(344,1)}
        95:{1,4,7}:{(60,1),(61,1),(65,1),(135,1),(223,1)}
        96:{3,4,7}:{(61,1),(66,1),(127,1),(529,1)}
        97:{2,4,5,7}:{(62,1),(67,1),(114,1),(128,1),(137,1),(138,1),(144,1),(237,1),(242,1)}
        98:{2,4,6}:{(62,1),(63,1),(115,1),(129,1),(138,1)}
        99:{2,3,5,6}:{(63,1),(64,1),(69,1),(116,1),(130,1),(134,1),(138,1),(139,1),(140,1),(213,1),(232,1),(239,1),(320,1),(341,1),(414,1),(481,1),(482,1),(522,1),(525,1),(543,1),(546,1)}
       100:{2,4,6}:{(64,1),(65,1),(70,1),(135,1),(140,1)}
       101:{1,3,4,6}:{(65,1),(66,1),(71,1),(132,1),(136,1),(140,1),(141,1),(229,1),(241,1),(338,1),(430,1)}
       102:{2,3,6}:{(67,1),(118,1),(137,1),(341,1),(414,1)}
       103:{2,3,5}:{(68,1),(119,1),(138,1),(144,1),(239,1),(320,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(140,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(320,1)}
       107:{2,4,7}:{(72,1),(76,1),(148,1),(151,1),(155,1)}
       108:{2,3,6}:{(72,1),(77,1),(151,1),(153,1),(247,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,3,6,7}:{(75,1),(77,1),(93,1),(149,1),(156,1),(157,1),(367,1),(453,1),(509,1)}
       113:{1,2,5,7}:{(75,1),(78,1),(94,1),(157,1),(158,1),(255,1),(280,1),(368,1),(370,1),(386,1),(456,1),(507,1)}
       114:{1,4,5,7}:{(76,1),(79,1),(97,1),(150,1),(159,1),(160,1),(165,1),(263,1),(268,1)}
       115:{1,4,6}:{(76,1),(77,1),(98,1),(151,1),(160,1)}
       116:{1,3,5,6}:{(77,1),(78,1),(81,1),(99,1),(152,1),(157,1),(160,1),(161,1),(162,1),(259,1),(265,1),(267,1),(367,1),(373,1),(453,1),(457,1),(509,1),(539,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(100,1),(158,1),(161,1),(162,1),(189,1),(256,1),(266,1),(295,1),(376,1),(388,1),(451,1),(502,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(159,1),(247,1),(453,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(160,1),(165,1),(248,1),(257,1),(373,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(464,1),(503,1)}
       122:{1,5,6,7}:{(83,1),(86,1),(168,1),(169,1),(259,1),(459,1)}
       123:{2,4,6,7}:{(83,1),(84,1),(87,1),(169,1),(170,1),(275,1),(355,1)}
       124:{3,6,7}:{(85,1),(89,1),(172,1),(182,1)}
       125:{2,5,7}:{(85,1),(86,1),(90,1),(172,1)}
       126:{1,4,5,7}:{(86,1),(87,1),(91,1),(95,1),(169,1),(173,1),(174,1),(280,1),(385,1),(459,1)}
       127:{3,5,7}:{(87,1),(92,1),(96,1),(170,1),(463,1)}
       128:{3,4,5,7}:{(88,1),(97,1),(175,1),(176,1),(192,1),(277,1),(281,1),(288,1),(296,1)}
       129:{3,4,6}:{(88,1),(89,1),(98,1),(176,1),(177,1)}
       130:{3,5,6}:{(89,1),(90,1),(172,1),(176,1),(177,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(100,1),(173,1),(177,1),(178,1),(179,1),(186,1),(284,1),(287,1),(378,1),(458,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(101,1),(174,1),(178,1),(179,1),(265,1),(367,1)}
       133:{2,4,6,7}:{(93,1),(98,1),(156,1),(171,1),(180,1),(181,1),(287,1),(538,1)}
       134:{2,3,5,7}:{(93,1),(94,1),(99,1),(157,1),(172,1),(180,1),(181,1),(182,1),(262,1),(288,1),(368,1),(507,1),(537,1),(548,1)}
       135:{2,4,7}:{(94,1),(95,1),(100,1),(182,1)}
       136:{1,3,4,7}:{(95,1),(96,1),(101,1),(174,1),(182,1),(183,1),(278,1),(290,1),(385,1),(463,1)}
       137:{2,4,6}:{(97,1),(102,1),(159,1),(175,1),(185,1)}
       138:{2,5}:{(98,1),(160,1),(176,1)}
       139:{2,4,6}:{(99,1),(104,1),(161,1),(177,1),(181,1),(186,1),(187,1),(508,1),(549,1)}
       140:{3,6}:{(100,1),(105,1),(182,1)}
       141:{2,4,6}:{(101,1),(106,1),(179,1),(183,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(184,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(185,1),(190,1),(191,1),(292,1),(363,1),(372,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(188,1),(193,1),(194,1),(464,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(373,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(398,1)}
       149:{2,3,6,7}:{(108,1),(112,1),(197,1),(198,1),(202,1),(299,1),(402,1),(414,1),(425,1),(490,1),(494,1)}
       150:{2,4,5,7}:{(107,1),(109,1),(114,1),(195,1),(199,1),(200,1),(204,1),(301,1),(305,1),(309,1),(398,1)}
       151:{2,4,6}:{(107,1),(108,1),(115,1),(196,1),(200,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(116,1),(198,1),(200,1),(201,1),(203,1),(213,1),(300,1),(302,1),(307,1),(310,1),(320,1),(339,1),(402,1),(414,1),(430,1),(434,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6,7}:{(112,1),(115,1),(133,1),(197,1),(206,1),(207,1),(314,1),(527,1)}
       157:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(198,1),(206,1),(207,1),(208,1),(317,1),(415,1)}
       158:{1,2,4,7}:{(113,1),(117,1),(135,1),(207,1),(208,1),(236,1),(309,1),(316,1),(344,1),(421,1),(428,1),(483,1),(521,1)}
       159:{1,4,6}:{(114,1),(118,1),(137,1),(199,1),(210,1)}
       160:{1,5}:{(115,1),(138,1),(200,1)}
       161:{1,4,6}:{(116,1),(120,1),(139,1),(201,1),(207,1),(211,1),(487,1)}
       162:{1,3,6}:{(117,1),(121,1),(140,1),(208,1),(213,1),(310,1),(430,1),(522,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(209,1),(214,1),(299,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(210,1),(214,1),(215,1),(300,1),(310,1),(410,1),(418,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(493,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(320,1),(348,1),(411,1),(412,1)}
       168:{2,5,6,7}:{(122,1),(125,1),(219,1),(220,1),(232,1),(423,1)}
       169:{1,4,6,7}:{(122,1),(123,1),(126,1),(220,1),(221,1),(314,1),(330,1)}
       170:{3,6,7}:{(123,1),(127,1),(402,1)}
       171:{3,4,6,7}:{(124,1),(129,1),(133,1),(222,1),(223,1),(234,1),(332,1),(341,1),(544,1),(545,1),(551,1)}
       172:{3,5,7}:{(124,1),(125,1),(130,1),(223,1)}
       173:{2,4,5,7}:{(125,1),(126,1),(131,1),(135,1),(220,1),(223,1),(224,1),(225,1),(327,1),(334,1),(423,1)}
       174:{1,3,5,7}:{(126,1),(127,1),(132,1),(136,1),(221,1),(224,1),(225,1)}
       175:{3,4,6}:{(128,1),(137,1),(227,1),(332,1),(341,1)}
       176:{3,5}:{(129,1),(138,1),(228,1)}
       177:{4,6}:{(130,1),(223,1),(228,1)}
       178:{3,5,6}:{(131,1),(140,1),(224,1),(229,1),(239,1),(341,1)}
       179:{2,5,6}:{(132,1),(141,1),(225,1),(231,1),(320,1),(414,1)}
       180:{2,5,7}:{(133,1),(138,1),(206,1),(222,1),(232,1),(546,1)}
       181:{2,4,7}:{(134,1),(139,1),(207,1),(223,1),(234,1),(551,1)}
       182:{3,7}:{(135,1),(140,1)}
       183:{2,4,7}:{(136,1),(141,1),(225,1),(235,1),(236,1),(344,1)}
       184:{2,4,6,7}:{(137,1),(142,1),(209,1),(226,1),(237,1),(242,1)}
       185:{2,5,6}:{(137,1),(138,1),(210,1),(227,1),(237,1)}
       186:{2,4,5}:{(138,1),(139,1),(211,1),(228,1),(239,1),(320,1),(546,1),(552,1)}
       187:{3,4,6}:{(139,1),(140,1),(145,1),(234,1),(239,1),(341,1),(522,1),(523,1)}
       188:{2,3,6}:{(140,1),(141,1),(146,1),(235,1),(241,1),(430,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(236,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(237,1),(242,1),(345,1),(409,1),(417,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(239,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(493,1)}
       194:{1,3,5}:{(146,1),(147,1),(241,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(150,1),(247,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(151,1),(247,1),(248,1),(352,1)}
       197:{2,4,6,7}:{(149,1),(151,1),(156,1),(246,1),(249,1),(250,1),(355,1),(515,1)}
       198:{2,3,5,7}:{(149,1),(152,1),(157,1),(249,1),(250,1),(255,1),(262,1),(351,1),(356,1),(362,1),(368,1),(386,1),(463,1),(512,1)}
       199:{2,4,6}:{(150,1),(153,1),(159,1),(247,1),(252,1),(352,1)}
       200:{2,5}:{(151,1),(160,1),(248,1)}
       201:{2,4,6}:{(152,1),(155,1),(161,1),(250,1),(253,1),(254,1),(352,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,5,7}:{(156,1),(160,1),(180,1),(249,1),(259,1),(539,1)}
       207:{1,4,7}:{(157,1),(161,1),(181,1),(250,1)}
       208:{1,3,7}:{(158,1),(162,1),(182,1),(262,1),(362,1),(463,1),(537,1)}
       209:{1,4,6,7}:{(159,1),(163,1),(184,1),(251,1),(263,1),(268,1)}
       210:{1,5,6}:{(159,1),(160,1),(185,1),(252,1),(263,1)}
       211:{1,4,5}:{(160,1),(161,1),(186,1),(253,1),(265,1),(373,1),(539,1)}
       212:{1,3,4,6}:{(161,1),(162,1),(166,1),(187,1),(254,1),(261,1),(265,1),(266,1),(367,1)}
       213:{2,3,6}:{(162,1),(167,1),(262,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(263,1),(268,1),(351,1),(362,1),(450,1),(456,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(352,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(265,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(373,1),(377,1)}
       219:{3,5,6,7}:{(168,1),(172,1),(273,1),(274,1),(276,1),(379,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(173,1),(273,1),(274,1),(275,1),(287,1)}
       221:{1,3,6,7}:{(169,1),(170,1),(174,1),(274,1),(275,1),(367,1)}
       222:{3,5,7}:{(171,1),(176,1),(180,1),(276,1),(277,1),(550,1)}
       223:{4,7}:{(172,1),(177,1)}
       224:{3,5,7}:{(173,1),(178,1),(182,1),(274,1),(278,1)}
       225:{2,5,7}:{(174,1),(179,1),(183,1),(275,1),(280,1)}
       226:{3,4,6,7}:{(175,1),(184,1),(281,1),(296,1),(382,1),(389,1)}
       227:{3,5,6}:{(175,1),(176,1),(185,1),(281,1),(282,1)}
       228:{4,5}:{(176,1),(177,1)}
       229:{3,4,6}:{(177,1),(178,1),(278,1),(283,1),(284,1)}
       230:{2,3,5,6}:{(178,1),(179,1),(188,1),(279,1),(284,1),(285,1),(293,1),(390,1),(458,1)}
       231:{1,5,6}:{(179,1),(189,1),(280,1),(373,1),(453,1)}
       232:{2,5,6}:{(180,1),(259,1),(276,1),(287,1)}
       233:{2,4,5,7}:{(180,1),(181,1),(186,1),(260,1),(277,1),(287,1),(288,1),(368,1)}
       234:{3,4,7}:{(181,1),(182,1),(187,1),(288,1),(537,1)}
       235:{2,3,7}:{(182,1),(183,1),(188,1),(290,1),(463,1)}
       236:{1,4,7}:{(183,1),(189,1),(280,1),(290,1)}
       237:{2,5,7}:{(184,1),(185,1),(263,1),(281,1)}
       238:{2,4,5,6}:{(185,1),(186,1),(191,1),(264,1),(282,1),(287,1),(291,1),(292,1),(372,1),(502,1),(533,1),(549,1)}
       239:{3,5}:{(186,1),(187,1)}
       240:{2,3,4,6}:{(187,1),(188,1),(193,1),(266,1),(284,1),(289,1),(293,1),(294,1),(390,1),(449,1),(508,1),(538,1)}
       241:{1,3,6}:{(188,1),(189,1),(194,1),(290,1),(295,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(292,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,4,6,7}:{(196,1),(197,1),(298,1),(299,1),(304,1),(396,1),(398,1),(402,1),(490,1),(529,1),(530,1)}
       247:{3,6}:{(195,1),(199,1)}
       248:{3,5}:{(196,1),(200,1),(301,1)}
       249:{2,5,7}:{(197,1),(200,1),(206,1),(298,1),(302,1),(531,1)}
       250:{2,4,7}:{(198,1),(201,1),(207,1),(304,1),(398,1),(529,1)}
       251:{2,4,6,7}:{(199,1),(202,1),(209,1),(299,1),(305,1),(309,1),(398,1)}
       252:{2,5,6}:{(199,1),(200,1),(210,1),(300,1),(305,1)}
       253:{2,4,5}:{(200,1),(201,1),(211,1),(301,1),(307,1),(320,1),(531,1),(547,1)}
       254:{3,4,6}:{(201,1),(205,1),(304,1),(307,1),(310,1),(402,1),(430,1),(493,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,6}:{(206,1),(232,1),(302,1),(314,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(211,1),(233,1),(303,1),(314,1),(315,1),(415,1)}
       261:{1,3,4,7}:{(207,1),(208,1),(212,1),(234,1),(304,1),(315,1),(316,1)}
       262:{2,3,7}:{(208,1),(213,1),(316,1),(317,1),(344,1),(483,1)}
       263:{1,5,7}:{(209,1),(210,1),(237,1),(305,1)}
       264:{1,4,5,6}:{(210,1),(211,1),(215,1),(238,1),(306,1),(314,1),(318,1),(319,1),(418,1),(474,1),(517,1)}
       265:{1,3,5}:{(211,1),(212,1),(239,1),(307,1),(320,1)}
       266:{2,4,6}:{(212,1),(213,1),(217,1),(316,1),(320,1),(321,1),(414,1)}
       267:{1,3,6}:{(213,1),(218,1),(317,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(398,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(319,1),(323,1),(324,1),(399,1),(410,1),(474,1),(522,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(320,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{4,6,7}:{(219,1),(223,1),(327,1),(332,1)}
       274:{3,6,7}:{(220,1),(224,1),(341,1)}
       275:{2,6,7}:{(221,1),(225,1),(330,1),(414,1)}
       276:{3,5,6}:{(222,1),(232,1),(332,1),(341,1)}
       277:{4,5,7}:{(222,1),(223,1),(228,1),(332,1),(551,1),(552,1)}
       278:{3,4,7}:{(223,1),(224,1),(229,1),(334,1)}
       279:{2,3,5,7}:{(224,1),(225,1),(230,1),(235,1),(329,1),(334,1),(335,1),(423,1)}
       280:{1,5,7}:{(225,1),(231,1),(236,1),(330,1)}
       281:{3,5,7}:{(226,1),(227,1),(237,1),(336,1)}
       282:{4,5,6}:{(227,1),(228,1),(332,1),(336,1)}
       283:{3,4,5}:{(228,1),(229,1),(239,1),(337,1),(523,1)}
       284:{2,4,6}:{(229,1),(230,1),(334,1),(337,1),(338,1)}
       285:{1,3,5,6}:{(230,1),(231,1),(241,1),(335,1),(338,1),(339,1),(346,1),(430,1),(431,1),(488,1),(528,1)}
       286:{2,5,6,7}:{(232,1),(237,1),(313,1),(331,1),(340,1),(542,1)}
       287:{2,4,6}:{(232,1),(233,1),(314,1),(332,1),(341,1),(414,1)}
       288:{3,5,7}:{(233,1),(234,1),(239,1),(341,1)}
       289:{2,3,4,7}:{(234,1),(235,1),(240,1),(316,1),(334,1),(342,1),(343,1),(479,1),(526,1)}
       290:{1,3,7}:{(235,1),(236,1),(241,1),(344,1)}
       291:{2,4,5,7}:{(237,1),(238,1),(242,1),(318,1),(336,1),(340,1),(345,1),(417,1),(521,1),(542,1),(551,1)}
       292:{3,5,6}:{(238,1),(239,1),(243,1),(341,1),(345,1),(522,1)}
       293:{2,3,5}:{(239,1),(240,1),(320,1),(337,1),(346,1),(546,1)}
       294:{1,3,4,6}:{(240,1),(241,1),(244,1),(321,1),(338,1),(343,1),(346,1),(347,1),(420,1),(430,1),(431,1),(487,1),(493,1),(527,1),(530,1)}
       295:{2,6}:{(241,1),(245,1),(344,1)}
       296:{3,4,7}:{(242,1),(243,1),(345,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,5,7}:{(246,1),(248,1),(249,1),(349,1),(350,1),(541,1)}
       299:{3,6,7}:{(247,1),(251,1),(351,1),(362,1)}
       300:{3,5,6}:{(247,1),(248,1),(252,1),(351,1),(352,1)}
       301:{4,5}:{(248,1),(352,1)}
       302:{2,5,6}:{(249,1),(259,1),(349,1),(355,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(260,1),(350,1),(355,1),(356,1),(368,1)}
       304:{3,4,7}:{(250,1),(254,1),(356,1),(362,1),(463,1)}
       305:{2,5,7}:{(251,1),(252,1),(263,1),(351,1)}
       306:{2,4,5,6}:{(252,1),(253,1),(256,1),(264,1),(352,1),(355,1),(358,1),(359,1),(372,1),(435,1),(440,1),(497,1)}
       307:{3,5}:{(253,1),(254,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(266,1),(357,1),(360,1),(361,1),(363,1),(394,1),(440,1),(443,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(263,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,6}:{(259,1),(260,1),(287,1),(355,1),(367,1),(453,1)}
       315:{1,3,5,7}:{(260,1),(261,1),(265,1),(288,1),(356,1),(367,1),(368,1)}
       316:{2,4,7}:{(261,1),(262,1),(266,1),(368,1),(369,1)}
       317:{1,3,7}:{(262,1),(267,1),(369,1),(370,1)}
       318:{1,4,5,7}:{(263,1),(264,1),(268,1),(291,1),(358,1),(366,1),(371,1),(456,1),(501,1),(532,1)}
       319:{1,3,5,6}:{(264,1),(265,1),(269,1),(292,1),(359,1),(367,1),(371,1),(372,1)}
       320:{2,5}:{(265,1),(266,1),(373,1)}
       321:{1,4,6}:{(266,1),(267,1),(271,1),(369,1),(373,1),(453,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(370,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(371,1),(375,1),(439,1),(450,1),(501,1),(537,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(372,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(373,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{4,5,7}:{(273,1),(378,1),(379,1)}
       328:{3,4,6,7}:{(273,1),(274,1),(278,1),(379,1),(380,1),(383,1)}
       329:{2,3,6,7}:{(274,1),(275,1),(279,1),(380,1),(381,1),(390,1)}
       330:{1,6,7}:{(275,1),(280,1),(453,1)}
       331:{3,5,6,7}:{(276,1),(281,1),(286,1),(382,1),(389,1),(548,1)}
       332:{4,6}:{(276,1),(277,1)}
       333:{3,4,5,7}:{(277,1),(278,1),(283,1),(288,1),(379,1),(383,1),(384,1),(536,1),(550,1)}
       334:{2,4,7}:{(278,1),(279,1),(284,1),(385,1)}
       335:{1,3,5,7}:{(279,1),(280,1),(285,1),(290,1),(381,1),(385,1),(386,1),(459,1),(463,1),(512,1)}
       336:{4,5,7}:{(281,1),(282,1),(382,1)}
       337:{2,4,5}:{(283,1),(284,1),(293,1),(387,1),(508,1)}
       338:{1,4,6}:{(284,1),(285,1),(385,1),(387,1),(388,1),(540,1)}
       339:{2,5,6}:{(285,1),(295,1),(386,1),(388,1),(393,1),(465,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(291,1),(366,1),(382,1),(389,1),(452,1)}
       341:{3,6}:{(287,1),(288,1)}
       342:{2,3,5,7}:{(288,1),(289,1),(293,1),(368,1),(384,1),(390,1),(391,1)}
       343:{1,3,4,7}:{(289,1),(290,1),(294,1),(369,1),(385,1),(391,1),(392,1),(455,1),(463,1),(510,1),(514,1)}
       344:{2,7}:{(290,1),(295,1)}
       345:{3,5,7}:{(291,1),(292,1),(296,1),(389,1),(537,1)}
       346:{1,3,5}:{(293,1),(294,1),(373,1),(387,1),(393,1),(464,1),(539,1),(541,1)}
       347:{2,4,6}:{(294,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,6}:{(298,1),(302,1),(396,1),(402,1)}
       350:{4,5,7}:{(298,1),(301,1),(396,1),(398,1),(529,1),(547,1)}
       351:{3,5,7}:{(299,1),(300,1),(305,1),(398,1)}
       352:{4,6}:{(300,1),(301,1),(398,1)}
       353:{3,4,5}:{(301,1),(307,1),(399,1),(400,1),(493,1)}
       354:{2,5,6,7}:{(302,1),(305,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,6}:{(302,1),(303,1),(314,1),(396,1),(402,1),(414,1)}
       356:{3,5,7}:{(303,1),(304,1),(307,1),(402,1)}
       357:{2,3,4,7}:{(304,1),(308,1),(316,1),(403,1),(404,1),(409,1),(433,1),(473,1),(495,1)}
       358:{2,4,5,7}:{(305,1),(306,1),(309,1),(318,1),(398,1),(401,1),(405,1),(417,1),(468,1),(473,1),(516,1)}
       359:{3,5,6}:{(306,1),(307,1),(310,1),(399,1),(402,1),(405,1)}
       360:{2,3,5}:{(307,1),(308,1),(320,1),(400,1),(407,1),(531,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(321,1),(404,1),(407,1),(408,1),(410,1),(420,1),(474,1),(477,1),(487,1),(522,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(522,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(318,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,6}:{(314,1),(315,1),(341,1),(402,1),(414,1)}
       368:{2,5,7}:{(315,1),(316,1),(320,1),(414,1),(415,1)}
       369:{1,4,7}:{(316,1),(317,1),(321,1),(415,1)}
       370:{1,2,7}:{(317,1),(322,1),(344,1),(483,1)}
       371:{1,3,5,7}:{(318,1),(319,1),(323,1),(345,1),(405,1),(413,1),(417,1)}
       372:{2,5,6}:{(319,1),(320,1),(324,1),(414,1),(417,1),(418,1)}
       373:{1,5}:{(320,1),(321,1)}
       374:{1,2,4,6}:{(321,1),(322,1),(326,1),(347,1),(408,1),(416,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(417,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(418,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,5,6}:{(327,1),(332,1),(422,1),(552,1)}
       379:{3,5,7}:{(327,1),(328,1),(422,1),(423,1)}
       380:{2,4,6,7}:{(328,1),(329,1),(334,1),(423,1),(424,1),(426,1)}
       381:{1,3,6,7}:{(329,1),(330,1),(335,1),(424,1),(425,1),(431,1),(490,1)}
       382:{4,6,7}:{(331,1),(332,1),(336,1),(551,1)}
       383:{3,4,6}:{(332,1),(333,1),(341,1),(422,1),(426,1)}
       384:{2,4,5,7}:{(333,1),(334,1),(337,1),(342,1),(423,1),(426,1),(427,1),(526,1),(546,1)}
       385:{1,4,7}:{(334,1),(335,1),(338,1),(428,1),(529,1)}
       386:{2,5,7}:{(335,1),(339,1),(344,1),(425,1),(428,1)}
       387:{1,4,5}:{(337,1),(338,1),(346,1),(429,1),(487,1),(547,1)}
       388:{2,4,6}:{(338,1),(339,1),(428,1),(429,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(345,1)}
       390:{2,3,6}:{(341,1),(342,1),(414,1),(426,1),(431,1)}
       391:{1,3,5,7}:{(342,1),(343,1),(346,1),(415,1),(427,1),(431,1),(432,1),(492,1)}
       392:{2,4,7}:{(343,1),(344,1),(347,1),(432,1),(433,1)}
       393:{2,5}:{(346,1),(347,1)}
       394:{2,3,6}:{(347,1),(348,1),(420,1),(430,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(436,1),(442,1),(496,1)}
       396:{4,6}:{(349,1),(350,1)}
       397:{3,4,5,7}:{(350,1),(353,1),(356,1),(437,1),(438,1),(439,1),(496,1),(514,1),(541,1)}
       398:{4,7}:{(351,1),(352,1)}
       399:{3,4,6}:{(352,1),(353,1),(359,1),(439,1),(440,1)}
       400:{2,4,5}:{(353,1),(360,1),(440,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(358,1),(366,1),(436,1),(442,1),(452,1)}
       402:{3,6}:{(355,1),(356,1)}
       403:{2,3,5,7}:{(356,1),(357,1),(360,1),(368,1),(438,1),(443,1),(444,1)}
       404:{1,3,4,7}:{(357,1),(361,1),(369,1),(444,1),(445,1),(450,1),(455,1),(501,1),(510,1),(536,1),(537,1)}
       405:{3,5,7}:{(358,1),(359,1),(362,1),(439,1),(442,1)}
       406:{2,3,5,6}:{(359,1),(360,1),(363,1),(372,1),(440,1),(443,1),(446,1),(447,1),(497,1)}
       407:{1,3,5}:{(360,1),(361,1),(373,1),(441,1),(448,1),(503,1),(539,1),(550,1)}
       408:{2,4,6}:{(361,1),(365,1),(445,1),(448,1),(449,1),(451,1),(505,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(537,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(389,1),(442,1),(452,1)}
       414:{2,6}:{(367,1),(368,1),(453,1)}
       415:{1,5,7}:{(368,1),(369,1),(373,1),(453,1)}
       416:{1,2,4,7}:{(369,1),(370,1),(374,1),(392,1),(445,1),(454,1),(455,1),(510,1)}
       417:{2,5,7}:{(371,1),(372,1),(375,1),(452,1),(456,1)}
       418:{1,5,6}:{(372,1),(373,1),(376,1),(453,1),(456,1)}
       419:{1,2,5}:{(373,1),(374,1),(393,1),(448,1),(457,1),(539,1)}
       420:{1,3,6}:{(374,1),(377,1),(394,1),(449,1),(455,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(456,1)}
       422:{3,5,6}:{(378,1),(379,1),(383,1),(458,1),(550,1)}
       423:{2,5,7}:{(379,1),(380,1),(458,1),(459,1)}
       424:{1,4,6,7}:{(380,1),(381,1),(385,1),(459,1),(460,1),(461,1)}
       425:{2,6,7}:{(381,1),(386,1),(465,1)}
       426:{2,4,6}:{(383,1),(384,1),(390,1),(458,1),(461,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(387,1),(391,1),(459,1),(461,1),(462,1),(510,1),(539,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(463,1)}
       429:{2,4,5}:{(387,1),(388,1),(393,1),(464,1),(467,1)}
       430:{3,6}:{(388,1),(463,1),(464,1)}
       431:{1,3,6}:{(390,1),(391,1),(453,1),(461,1),(465,1),(513,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,7}:{(392,1),(394,1),(455,1),(463,1)}
       434:{2,3,5}:{(393,1),(394,1),(457,1),(464,1),(467,1)}
       435:{4,5,6}:{(396,1),(468,1),(469,1),(547,1)}
       436:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       437:{3,4,6}:{(396,1),(397,1),(402,1),(469,1),(471,1)}
       438:{2,4,5,7}:{(397,1),(400,1),(403,1),(471,1),(472,1),(473,1),(495,1),(516,1),(531,1)}
       439:{3,4,7}:{(398,1),(399,1),(405,1),(473,1)}
       440:{2,4,6}:{(399,1),(400,1),(406,1),(473,1),(474,1)}
       441:{1,4,5}:{(400,1),(407,1),(474,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(405,1)}
       443:{2,3,6}:{(402,1),(403,1),(414,1),(471,1),(477,1)}
       444:{1,3,5,7}:{(403,1),(404,1),(407,1),(415,1),(472,1),(477,1),(478,1),(520,1)}
       445:{2,4,7}:{(404,1),(408,1),(478,1),(479,1),(483,1)}
       446:{2,3,5,7}:{(405,1),(406,1),(409,1),(417,1),(473,1),(476,1),(480,1),(516,1)}
       447:{1,3,5,6}:{(406,1),(407,1),(410,1),(418,1),(474,1),(477,1),(480,1),(481,1),(517,1),(522,1),(543,1)}
       448:{2,5}:{(407,1),(408,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(479,1),(482,1),(522,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,6}:{(414,1),(415,1)}
       454:{1,2,5,7}:{(415,1),(416,1),(419,1),(432,1),(478,1),(485,1),(486,1)}
       455:{1,3,7}:{(416,1),(420,1),(433,1),(479,1)}
       456:{1,5,7}:{(417,1),(418,1),(421,1),(484,1)}
       457:{1,3,5}:{(419,1),(420,1),(434,1),(482,1),(487,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,5,7}:{(423,1),(424,1),(488,1),(489,1)}
       460:{2,4,6,7}:{(424,1),(425,1),(428,1),(489,1),(490,1),(491,1),(529,1)}
       461:{1,4,6}:{(426,1),(427,1),(431,1),(488,1),(491,1)}
       462:{2,4,5,7}:{(427,1),(428,1),(429,1),(432,1),(489,1),(491,1),(492,1),(495,1),(529,1),(531,1),(547,1)}
       463:{3,7}:{(428,1),(430,1)}
       464:{3,5}:{(429,1),(430,1),(493,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(492,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(434,1),(487,1),(493,1)}
       468:{4,5,7}:{(435,1),(436,1),(496,1)}
       469:{3,5,6}:{(435,1),(437,1),(496,1),(497,1),(541,1)}
       470:{3,4,6,7}:{(436,1),(437,1),(439,1),(442,1),(496,1),(498,1)}
       471:{2,4,6}:{(437,1),(438,1),(443,1),(497,1),(499,1)}
       472:{1,4,5,7}:{(438,1),(441,1),(444,1),(499,1),(500,1),(501,1),(510,1),(532,1),(539,1)}
       473:{2,4,7}:{(439,1),(440,1),(446,1),(501,1)}
       474:{1,4,6}:{(440,1),(441,1),(447,1),(501,1),(502,1),(549,1)}
       475:{2,4,5}:{(441,1),(448,1),(502,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(446,1),(452,1),(498,1),(504,1)}
       477:{1,3,6}:{(443,1),(444,1),(453,1),(499,1),(505,1),(535,1)}
       478:{2,5,7}:{(444,1),(445,1),(448,1),(505,1)}
       479:{2,3,7}:{(445,1),(449,1),(455,1),(537,1)}
       480:{1,3,5,7}:{(446,1),(447,1),(450,1),(456,1),(501,1),(504,1),(507,1),(532,1),(537,1),(548,1)}
       481:{2,5,6}:{(447,1),(448,1),(451,1),(502,1),(505,1),(507,1)}
       482:{2,3,5}:{(448,1),(449,1),(457,1),(503,1),(508,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(456,1)}
       485:{1,2,6}:{(453,1),(454,1),(465,1),(505,1),(509,1)}
       486:{1,3,5,7}:{(454,1),(455,1),(457,1),(466,1),(506,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(457,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(461,1),(511,1),(539,1)}
       489:{2,5,7}:{(459,1),(460,1),(511,1),(512,1)}
       490:{3,6,7}:{(460,1),(463,1),(512,1),(513,1)}
       491:{2,4,6}:{(461,1),(462,1),(465,1),(511,1),(513,1),(540,1)}
       492:{3,5,7}:{(462,1),(463,1),(464,1),(513,1),(514,1),(541,1)}
       493:{3,4}:{(464,1),(467,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(513,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(514,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(470,1),(516,1)}
       497:{2,5,6}:{(469,1),(471,1),(516,1),(517,1),(531,1)}
       498:{2,4,6,7}:{(470,1),(471,1),(473,1),(476,1),(516,1),(518,1)}
       499:{1,4,6}:{(471,1),(472,1),(477,1),(517,1),(519,1)}
       500:{2,4,5,7}:{(472,1),(475,1),(478,1),(519,1),(520,1),(521,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       501:{1,4,7}:{(473,1),(474,1),(480,1),(521,1),(551,1)}
       502:{2,4,6}:{(474,1),(475,1),(481,1),(521,1),(522,1)}
       503:{3,5}:{(475,1),(522,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(518,1),(524,1),(544,1)}
       505:{2,6}:{(477,1),(478,1)}
       506:{2,3,5,7}:{(478,1),(479,1),(482,1),(486,1),(520,1),(525,1),(526,1),(546,1)}
       507:{2,5,7}:{(480,1),(481,1),(483,1),(521,1),(524,1)}
       508:{2,4}:{(482,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(491,1),(528,1),(531,1)}
       512:{3,5,7}:{(489,1),(490,1),(528,1),(529,1)}
       513:{3,6}:{(491,1),(492,1)}
       514:{3,4,7}:{(492,1),(493,1),(495,1),(529,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(530,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(498,1),(532,1)}
       517:{1,5,6}:{(497,1),(499,1),(532,1),(533,1),(539,1)}
       518:{1,4,6,7}:{(498,1),(499,1),(501,1),(504,1),(532,1),(534,1)}
       519:{2,4,6}:{(499,1),(500,1),(505,1),(533,1),(535,1),(549,1)}
       520:{3,5,7}:{(500,1),(503,1),(535,1),(536,1),(537,1),(550,1)}
       521:{2,4,7}:{(501,1),(502,1),(507,1),(537,1)}
       522:{3,6}:{(502,1),(503,1),(537,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(507,1)}
       525:{2,3,6}:{(505,1),(506,1),(509,1),(535,1),(538,1)}
       526:{2,4,7}:{(506,1),(508,1),(510,1),(536,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       529:{4,7}:{(512,1),(540,1)}
       530:{3,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(518,1),(542,1)}
       533:{2,5,6}:{(517,1),(519,1),(542,1),(543,1),(546,1)}
       534:{2,4,6,7}:{(518,1),(519,1),(521,1),(524,1),(542,1),(544,1),(551,1)}
       535:{3,6}:{(519,1),(520,1)}
       536:{3,4,7}:{(520,1),(523,1),(526,1),(545,1),(551,1)}
       537:{3,7}:{(521,1),(522,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(529,1),(547,1)}
       541:{3,5}:{(530,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(534,1),(548,1)}
       543:{3,5,6}:{(533,1),(535,1),(548,1),(549,1),(550,1)}
       544:{3,6,7}:{(534,1),(535,1),(537,1),(548,1)}
       545:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(543,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 469 :   0:{2,3,4}:{(2,1),(3,1),(33,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(22,1),(51,1),(58,1)}
         4:{4,5,6}:{(12,1),(13,1),(129,1),(147,1)}
         5:{3,4,6}:{(1,1),(13,1),(14,1),(15,1)}
         6:{2,4,5}:{(1,1),(2,1),(15,1),(16,1),(64,1),(101,1)}
         7:{2,3,6}:{(2,1),(15,1),(17,1),(18,1)}
         8:{1,3,5}:{(2,1),(3,1),(16,1),(18,1),(19,1),(42,1)}
         9:{2,4}:{(3,1),(19,1),(20,1)}
        10:{1,2,4}:{(9,1),(21,1),(22,1),(48,1),(51,1)}
        11:{5,6,7}:{(23,1),(151,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(116,1),(142,1)}
        14:{3,4,7}:{(5,1),(24,1),(26,1)}
        15:{2,4,6}:{(5,1),(6,1),(7,1),(25,1),(26,1),(27,1)}
        16:{1,4,5}:{(6,1),(8,1),(27,1),(28,1),(51,1),(86,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{1,3,6}:{(7,1),(8,1),(27,1),(29,1),(30,1),(57,1)}
        19:{2,5}:{(8,1),(9,1),(30,1)}
        20:{2,3}:{(9,1),(22,1)}
        21:{1,2,5}:{(10,1),(19,1),(34,1),(35,1),(65,1)}
        22:{1,3}:{(10,1),(20,1),(33,1)}
        23:{4,6,7}:{(11,1),(12,1),(37,1),(147,1)}
        24:{3,5,7}:{(12,1),(13,1),(14,1),(37,1),(38,1)}
        25:{2,5,6}:{(13,1),(15,1),(38,1),(39,1),(101,1),(133,1)}
        26:{2,4,7}:{(14,1),(15,1),(17,1),(38,1),(40,1)}
        27:{1,4,6}:{(15,1),(16,1),(18,1),(39,1),(40,1),(41,1)}
        28:{2,4,5}:{(16,1),(19,1),(41,1),(42,1),(45,1),(77,1),(109,1)}
        29:{1,3,7}:{(17,1),(18,1),(40,1),(43,1),(73,1)}
        30:{2,6}:{(18,1),(19,1),(43,1)}
        31:{2,3,5}:{(19,1),(20,1),(35,1),(42,1),(44,1),(45,1),(77,1)}
        32:{2,3,4}:{(20,1),(36,1),(45,1),(46,1)}
        33:{2,3}:{(22,1),(48,1)}
        34:{1,2,6}:{(21,1),(30,1),(49,1),(50,1),(84,1)}
        35:{1,3,5}:{(21,1),(22,1),(31,1),(47,1),(50,1),(51,1),(86,1)}
        36:{1,3,4}:{(22,1),(32,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,6,7}:{(23,1),(24,1),(53,1),(142,1)}
        38:{2,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        39:{1,5,6}:{(25,1),(27,1),(54,1),(55,1),(86,1),(121,1)}
        40:{1,4,7}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{2,4,6}:{(27,1),(28,1),(30,1),(55,1),(56,1),(57,1),(91,1)}
        42:{3,5}:{(28,1),(57,1),(58,1)}
        43:{2,7}:{(29,1),(30,1)}
        44:{2,3,6}:{(30,1),(31,1),(50,1),(57,1),(59,1),(60,1)}
        45:{2,4}:{(31,1),(51,1),(58,1)}
        46:{2,3,5}:{(32,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(33,1),(35,1),(63,1),(64,1),(65,1),(99,1),(101,1)}
        48:{2,4}:{(33,1),(36,1),(65,1)}
        49:{1,2,7}:{(34,1),(43,1),(66,1),(103,1)}
        50:{1,3,6}:{(34,1),(35,1),(44,1),(63,1),(66,1),(67,1)}
        51:{1,4}:{(35,1),(45,1),(64,1)}
        52:{1,3,5}:{(36,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,6,7}:{(37,1),(38,1),(70,1),(133,1)}
        54:{1,5,7}:{(38,1),(39,1),(40,1),(70,1),(71,1)}
        55:{2,5,6}:{(39,1),(41,1),(71,1),(72,1),(77,1),(113,1)}
        56:{2,4,7}:{(40,1),(41,1),(43,1),(71,1),(73,1),(108,1)}
        57:{3,6}:{(41,1),(42,1),(73,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,3,7}:{(43,1),(44,1),(66,1),(73,1),(76,1)}
        60:{2,4,6}:{(44,1),(45,1),(67,1),(74,1),(76,1),(77,1),(113,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(77,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(50,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,3,7}:{(49,1),(50,1),(59,1),(81,1),(85,1)}
        67:{1,4,6}:{(50,1),(51,1),(60,1),(82,1),(85,1),(86,1),(121,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(86,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{1,6,7}:{(53,1),(54,1),(89,1),(121,1)}
        71:{2,5,7}:{(54,1),(55,1),(56,1),(89,1),(90,1)}
        72:{3,5,6}:{(55,1),(57,1),(90,1),(91,1),(93,1),(126,1),(145,1)}
        73:{3,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(57,1),(58,1),(60,1),(91,1),(92,1),(93,1),(126,1)}
        75:{3,4,5}:{(58,1),(61,1),(93,1),(94,1)}
        76:{2,4,7}:{(59,1),(60,1),(85,1),(92,1),(95,1)}
        77:{2,5}:{(60,1),(86,1),(93,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(96,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,3,7}:{(63,1),(66,1),(100,1),(103,1),(132,1)}
        82:{2,4,6}:{(63,1),(64,1),(67,1),(98,1),(100,1),(101,1),(133,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(101,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,4,7}:{(66,1),(67,1),(76,1),(100,1),(104,1)}
        86:{1,5}:{(67,1),(77,1),(101,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(105,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{2,6,7}:{(70,1),(71,1),(107,1),(113,1)}
        90:{3,5,7}:{(71,1),(72,1),(73,1),(107,1),(108,1),(136,1)}
        91:{4,6}:{(72,1),(108,1),(109,1)}
        92:{3,4,7}:{(73,1),(74,1),(76,1),(108,1),(110,1)}
        93:{3,5}:{(74,1),(77,1),(109,1)}
        94:{3,4,6}:{(75,1),(78,1),(111,1),(112,1)}
        95:{2,5,7}:{(76,1),(77,1),(104,1),(110,1),(113,1)}
        96:{2,5,6}:{(77,1),(78,1),(105,1),(111,1),(113,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(114,1)}
        98:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(141,1),(142,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,4,7}:{(81,1),(82,1),(85,1),(115,1),(118,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(119,1),(120,1),(141,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,7}:{(85,1),(86,1),(95,1),(118,1),(121,1)}
       105:{1,5,6}:{(86,1),(87,1),(96,1),(119,1),(121,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(122,1)}
       107:{3,6,7}:{(89,1),(90,1),(123,1),(126,1)}
       108:{4,7}:{(90,1),(91,1)}
       109:{4,5}:{(91,1),(93,1)}
       110:{3,5,7}:{(92,1),(93,1),(95,1),(124,1),(126,1)}
       111:{3,5,6}:{(93,1),(94,1),(96,1),(125,1),(126,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(127,1)}
       113:{2,6}:{(95,1),(121,1),(126,1)}
       114:{2,5,7}:{(96,1),(97,1),(122,1),(127,1),(128,1)}
       115:{3,4,7}:{(98,1),(100,1),(130,1),(132,1),(148,1)}
       116:{3,5}:{(98,1),(101,1),(129,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,7}:{(100,1),(101,1),(104,1),(130,1),(133,1)}
       119:{2,5,6}:{(101,1),(102,1),(105,1),(131,1),(133,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(134,1),(148,1)}
       121:{1,6}:{(104,1),(113,1),(133,1)}
       122:{1,5,7}:{(105,1),(106,1),(114,1),(134,1),(135,1)}
       123:{4,6,7}:{(107,1),(108,1),(136,1),(137,1)}
       124:{4,5,7}:{(108,1),(109,1),(110,1),(136,1),(137,1)}
       125:{4,5,6}:{(109,1),(111,1),(137,1),(138,1)}
       126:{3,6}:{(110,1),(113,1),(137,1)}
       127:{3,5,7}:{(111,1),(112,1),(114,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(116,1),(141,1)}
       130:{3,5,7}:{(115,1),(116,1),(118,1),(140,1),(142,1)}
       131:{3,5,6}:{(116,1),(117,1),(119,1),(141,1),(142,1),(143,1),(151,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,6}:{(118,1),(121,1),(142,1)}
       134:{2,5,7}:{(119,1),(120,1),(122,1),(143,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{5,7}:{(123,1),(145,1)}
       137:{4,6}:{(124,1),(126,1),(145,1)}
       138:{4,5,7}:{(125,1),(127,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(146,1)}
       140:{4,5,7}:{(129,1),(130,1),(147,1),(148,1),(153,1)}
       141:{4,6}:{(129,1),(131,1),(148,1)}
       142:{3,6}:{(130,1),(133,1),(147,1)}
       143:{3,5,7}:{(131,1),(132,1),(134,1),(148,1),(149,1),(153,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{5,6}:{(136,1),(137,1)}
       146:{4,6,7}:{(137,1),(138,1),(139,1),(150,1)}
       147:{4,6}:{(140,1),(142,1),(151,1)}
       148:{4,7}:{(141,1),(143,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{5,6}:{(147,1),(153,1)}
       152:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 470 :   0:{3,4,5,7}:{(1,1),(2,1),(14,1),(62,1),(101,1),(173,1),(274,1),(370,1),(376,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(6,1),(7,1),(28,1),(38,1),(67,1),(130,1),(226,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(412,1),(418,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(67,1),(84,1),(130,1),(239,1),(328,1),(336,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(376,1),(384,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1),(47,1),(101,1),(109,1)}
         6:{1,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(49,1),(61,1),(95,1),(100,1),(182,1)}
         7:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1)}
         8:{3,5,6}:{(2,1),(14,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(51,1),(56,1),(95,1),(100,1),(187,1),(294,1),(385,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(176,1),(193,1),(210,1),(219,1),(280,1),(288,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(9,1),(23,1),(24,1),(30,1),(37,1),(427,1)}
        12:{2,3,6}:{(4,1),(7,1),(24,1),(418,1),(426,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(22,1),(27,1),(28,1),(67,1)}
        14:{3,5,7}:{(5,1),(8,1),(28,1),(29,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(30,1),(31,1),(68,1),(76,1),(91,1),(140,1),(143,1),(151,1),(156,1)}
        16:{1,4,6}:{(6,1),(7,1),(24,1),(31,1),(32,1)}
        17:{2,5,6}:{(7,1),(8,1),(28,1),(32,1),(226,1)}
        18:{4,5,6}:{(8,1),(29,1),(325,1),(412,1)}
        19:{2,4,7}:{(9,1),(23,1),(35,1),(36,1),(347,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(24,1),(36,1),(37,1),(71,1),(80,1),(86,1),(135,1),(145,1),(165,1),(170,1),(245,1),(270,1),(341,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(226,1),(331,1),(340,1)}
        22:{2,3,6,7}:{(12,1),(13,1),(40,1),(41,1),(109,1),(197,1)}
        23:{2,5,7}:{(11,1),(19,1),(43,1),(60,1)}
        24:{1,3,6}:{(11,1),(12,1),(16,1),(43,1),(52,1),(464,1)}
        25:{2,3,5,6}:{(12,1),(17,1),(21,1),(41,1),(44,1),(45,1),(55,1),(118,1),(193,1)}
        26:{3,5,6,7}:{(14,1),(46,1),(47,1),(109,1),(369,1),(473,1)}
        27:{1,4,6,7}:{(13,1),(16,1),(40,1),(48,1),(49,1),(100,1)}
        28:{2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        29:{4,5,7}:{(14,1),(18,1),(47,1)}
        30:{3,5,7}:{(15,1),(51,1),(52,1),(115,1),(128,1),(187,1)}
        31:{2,4,6}:{(15,1),(16,1),(43,1),(52,1),(53,1),(116,1)}
        32:{1,5,6}:{(16,1),(17,1),(49,1),(53,1),(182,1)}
        33:{2,4,5,6}:{(17,1),(18,1),(45,1),(50,1),(54,1),(55,1),(118,1),(279,1),(310,1),(375,1),(472,1),(519,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(95,1),(119,1),(385,1),(386,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(187,1)}
        36:{2,4,6}:{(19,1),(20,1),(43,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(115,1),(128,1),(182,1),(389,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(23,1),(34,1),(63,1),(64,1),(87,1),(160,1),(427,1)}
        40:{1,3,6,7}:{(22,1),(24,1),(27,1),(65,1),(66,1),(75,1),(249,1)}
        41:{2,3,5,7}:{(22,1),(25,1),(28,1),(66,1),(67,1),(78,1),(153,1),(239,1)}
        42:{2,3,5,7}:{(23,1),(30,1),(35,1),(63,1),(68,1),(69,1),(90,1),(143,1)}
        43:{2,6}:{(23,1),(24,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(32,1),(37,1),(66,1),(70,1),(71,1),(81,1),(145,1),(159,1),(245,1)}
        45:{2,4,6}:{(25,1),(38,1),(67,1),(71,1),(72,1)}
        46:{2,5,6,7}:{(26,1),(28,1),(73,1),(74,1),(326,1),(438,1)}
        47:{4,6,7}:{(26,1),(29,1),(412,1),(500,1)}
        48:{2,4,6,7}:{(27,1),(31,1),(65,1),(75,1),(76,1),(140,1),(151,1)}
        49:{1,5,7}:{(27,1),(28,1),(32,1),(76,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(33,1),(67,1),(74,1),(77,1),(78,1),(153,1),(357,1),(438,1),(500,1)}
        51:{3,4,7}:{(30,1),(68,1),(80,1),(151,1),(170,1)}
        52:{3,6}:{(30,1),(31,1)}
        53:{2,5,6}:{(31,1),(32,1),(76,1),(81,1),(143,1)}
        54:{1,4,5,6}:{(32,1),(33,1),(71,1),(77,1),(82,1),(83,1),(159,1),(233,1),(257,1),(334,1),(437,1)}
        55:{3,5,6}:{(33,1),(72,1),(78,1),(331,1),(359,1),(418,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(135,1),(161,1),(165,1),(341,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(68,1),(85,1),(88,1),(89,1),(238,1),(268,1),(336,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(145,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(71,1),(91,1),(156,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(331,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(42,1),(56,1),(93,1),(95,1),(96,1),(123,1),(182,1)}
        64:{1,2,6}:{(39,1),(43,1),(96,1),(208,1),(464,1)}
        65:{2,6,7}:{(40,1),(43,1),(99,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(44,1),(49,1),(99,1),(100,1),(111,1),(187,1),(202,1),(294,1)}
        67:{2,4,7}:{(41,1),(45,1),(100,1),(101,1)}
        68:{2,4,7}:{(42,1),(51,1),(95,1),(103,1),(127,1)}
        69:{2,3,6}:{(42,1),(43,1),(52,1),(96,1),(103,1)}
        70:{2,5,6}:{(43,1),(44,1),(60,1),(99,1),(105,1),(299,1)}
        71:{1,4,6}:{(44,1),(45,1),(61,1),(100,1),(105,1),(116,1)}
        72:{3,4,6}:{(45,1),(55,1),(62,1),(101,1),(519,1)}
        73:{1,5,6,7}:{(46,1),(49,1),(107,1),(108,1),(281,1),(398,1)}
        74:{2,4,6,7}:{(46,1),(47,1),(50,1),(108,1),(109,1),(197,1),(375,1)}
        75:{3,6,7}:{(48,1),(52,1),(111,1),(187,1)}
        76:{2,5,7}:{(48,1),(49,1),(53,1),(111,1)}
        77:{1,4,5,7}:{(49,1),(50,1),(54,1),(100,1),(108,1),(112,1),(113,1),(202,1),(307,1),(398,1)}
        78:{3,5,7}:{(50,1),(55,1),(101,1),(109,1),(402,1)}
        79:{3,4,5,7}:{(51,1),(102,1),(114,1),(115,1),(199,1),(203,1),(218,1),(292,1),(320,1)}
        80:{3,4,6}:{(51,1),(52,1),(103,1),(115,1),(116,1)}
        81:{3,5,6}:{(52,1),(53,1),(111,1),(115,1),(116,1)}
        82:{2,4,5,6}:{(53,1),(54,1),(105,1),(112,1),(116,1),(117,1),(118,1),(191,1),(206,1),(291,1),(300,1),(397,1)}
        83:{1,3,5,6}:{(54,1),(55,1),(106,1),(113,1),(117,1),(118,1),(287,1),(383,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(95,1),(119,1),(121,1),(122,1),(173,1),(315,1),(385,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(182,1),(209,1),(389,1)}
        88:{2,3,5,7}:{(58,1),(102,1),(121,1),(125,1),(126,1),(292,1),(384,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(103,1),(122,1),(125,1),(126,1),(127,1),(192,1),(217,1),(288,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(105,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(106,1),(128,1),(129,1),(205,1),(214,1),(220,1),(287,1),(309,1),(403,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(226,1)}
        94:{1,2,6,7}:{(64,1),(65,1),(132,1),(133,1),(249,1),(259,1),(354,1),(426,1),(493,1),(494,1),(529,1)}
        95:{1,4,7}:{(63,1),(68,1),(130,1),(135,1),(165,1)}
        96:{1,3,6}:{(63,1),(64,1),(69,1),(131,1),(135,1)}
        97:{1,2,5,6}:{(64,1),(70,1),(87,1),(133,1),(136,1),(137,1),(159,1),(258,1),(260,1),(340,1),(342,1),(426,1),(430,1),(431,1),(491,1),(494,1)}
        98:{2,3,6,7}:{(65,1),(69,1),(75,1),(132,1),(138,1),(139,1),(344,1),(426,1),(529,1),(530,1),(545,1)}
        99:{2,5,7}:{(65,1),(66,1),(70,1),(140,1),(347,1)}
       100:{1,4,7}:{(66,1),(67,1),(71,1),(140,1),(151,1)}
       101:{3,4,7}:{(67,1),(72,1),(78,1),(500,1)}
       102:{2,4,5,7}:{(68,1),(79,1),(88,1),(134,1),(142,1),(143,1),(169,1),(241,1),(268,1)}
       103:{2,4,6}:{(68,1),(69,1),(80,1),(135,1),(143,1)}
       104:{2,3,5,6}:{(69,1),(70,1),(81,1),(90,1),(136,1),(139,1),(143,1),(144,1),(145,1),(235,1),(236,1),(243,1),(340,1),(344,1),(426,1),(491,1),(492,1),(527,1),(530,1),(544,1),(547,1)}
       105:{2,4,6}:{(70,1),(71,1),(91,1),(140,1),(145,1)}
       106:{1,3,4,6}:{(71,1),(72,1),(83,1),(92,1),(141,1),(145,1),(146,1),(157,1),(245,1),(257,1),(359,1)}
       107:{2,5,6,7}:{(73,1),(76,1),(147,1),(148,1),(236,1),(352,1)}
       108:{1,4,6,7}:{(73,1),(74,1),(77,1),(148,1),(149,1),(249,1),(334,1)}
       109:{3,6,7}:{(74,1),(78,1),(418,1)}
       110:{3,4,6,7}:{(75,1),(80,1),(138,1),(150,1),(151,1),(238,1),(251,1),(344,1),(545,1),(546,1),(551,1)}
       111:{3,5,7}:{(75,1),(76,1),(81,1),(151,1)}
       112:{2,4,5,7}:{(76,1),(77,1),(82,1),(140,1),(148,1),(151,1),(152,1),(153,1),(246,1),(253,1),(352,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(83,1),(141,1),(149,1),(152,1),(153,1)}
       114:{3,4,6}:{(79,1),(142,1),(155,1),(251,1),(344,1)}
       115:{3,5}:{(80,1),(143,1),(156,1)}
       116:{4,6}:{(81,1),(151,1),(156,1)}
       117:{3,5,6}:{(82,1),(145,1),(152,1),(157,1),(243,1),(344,1)}
       118:{2,5,6}:{(83,1),(146,1),(153,1),(159,1),(340,1),(426,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(134,1),(160,1),(163,1),(164,1),(221,1),(427,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(135,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(341,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(233,1),(261,1),(266,1),(271,1),(340,1),(358,1),(366,1),(367,1),(431,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(142,1),(163,1),(344,1),(426,1)}
       126:{2,3,5}:{(89,1),(143,1),(164,1),(169,1),(243,1),(340,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(145,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(340,1)}
       130:{2,4,7}:{(93,1),(95,1),(173,1),(176,1),(210,1)}
       131:{2,3,6}:{(93,1),(96,1),(176,1),(208,1),(273,1)}
       132:{1,3,6,7}:{(94,1),(96,1),(98,1),(174,1),(178,1),(179,1),(383,1),(464,1),(516,1)}
       133:{1,2,5,7}:{(94,1),(97,1),(99,1),(179,1),(180,1),(202,1),(308,1),(311,1),(384,1),(386,1),(467,1),(514,1)}
       134:{1,4,5,7}:{(95,1),(102,1),(121,1),(175,1),(181,1),(182,1),(213,1),(285,1),(315,1)}
       135:{1,4,6}:{(95,1),(96,1),(103,1),(176,1),(182,1)}
       136:{1,3,5,6}:{(96,1),(97,1),(104,1),(123,1),(177,1),(179,1),(182,1),(183,1),(184,1),(281,1),(287,1),(289,1),(383,1),(389,1),(464,1),(468,1),(516,1),(542,1)}
       137:{1,2,4,6}:{(97,1),(105,1),(124,1),(180,1),(183,1),(184,1),(194,1),(288,1),(299,1),(310,1),(312,1),(409,1),(477,1),(509,1)}
       138:{2,4,6,7}:{(98,1),(103,1),(110,1),(178,1),(185,1),(186,1),(291,1),(541,1)}
       139:{2,3,5,7}:{(98,1),(99,1),(104,1),(111,1),(179,1),(185,1),(186,1),(187,1),(284,1),(292,1),(384,1),(514,1),(540,1),(548,1)}
       140:{2,4,7}:{(99,1),(100,1),(105,1),(187,1)}
       141:{1,3,4,7}:{(100,1),(101,1),(106,1),(113,1),(187,1),(188,1),(200,1),(294,1),(307,1),(402,1)}
       142:{2,4,6}:{(102,1),(114,1),(125,1),(181,1),(190,1)}
       143:{2,5}:{(103,1),(115,1),(182,1)}
       144:{2,4,6}:{(104,1),(116,1),(127,1),(183,1),(186,1),(191,1),(192,1),(515,1),(549,1)}
       145:{3,6}:{(105,1),(128,1),(187,1)}
       146:{2,4,6}:{(106,1),(118,1),(129,1),(188,1),(193,1),(194,1),(299,1)}
       147:{3,5,6,7}:{(107,1),(111,1),(195,1),(196,1),(198,1),(301,1)}
       148:{2,4,6,7}:{(107,1),(108,1),(112,1),(195,1),(196,1),(197,1),(291,1)}
       149:{1,3,6,7}:{(108,1),(109,1),(113,1),(196,1),(197,1),(383,1)}
       150:{3,5,7}:{(110,1),(115,1),(185,1),(198,1),(199,1),(550,1)}
       151:{4,7}:{(111,1),(116,1)}
       152:{3,5,7}:{(112,1),(117,1),(187,1),(196,1),(200,1)}
       153:{2,5,7}:{(113,1),(118,1),(188,1),(197,1),(202,1)}
       154:{3,4,6,7}:{(114,1),(189,1),(203,1),(304,1),(320,1),(391,1)}
       155:{3,5,6}:{(114,1),(115,1),(190,1),(203,1),(204,1)}
       156:{4,5}:{(115,1),(116,1)}
       157:{3,4,6}:{(116,1),(117,1),(200,1),(205,1),(206,1)}
       158:{2,3,5,6}:{(117,1),(118,1),(193,1),(201,1),(206,1),(207,1),(297,1),(392,1),(397,1)}
       159:{1,5,6}:{(118,1),(194,1),(202,1),(389,1),(464,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(181,1),(208,1),(273,1),(464,1)}
       164:{1,3,5}:{(122,1),(126,1),(182,1),(209,1),(213,1),(274,1),(313,1),(389,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(403,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(189,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(190,1),(212,1),(216,1),(217,1),(296,1),(388,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(193,1),(219,1),(220,1),(403,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(389,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(414,1)}
       174:{2,3,6,7}:{(131,1),(132,1),(223,1),(224,1),(259,1),(323,1),(354,1),(418,1),(426,1),(439,1),(497,1)}
       175:{2,4,5,7}:{(130,1),(134,1),(160,1),(221,1),(225,1),(226,1),(261,1),(325,1),(329,1),(360,1),(414,1)}
       176:{2,4,6}:{(130,1),(131,1),(135,1),(222,1),(226,1)}
       177:{2,3,5,6}:{(131,1),(136,1),(162,1),(224,1),(226,1),(227,1),(235,1),(258,1),(260,1),(324,1),(326,1),(331,1),(340,1),(359,1),(361,1),(418,1),(426,1),(436,1),(497,1),(499,1),(533,1)}
       178:{1,4,6,7}:{(132,1),(135,1),(138,1),(223,1),(228,1),(229,1),(334,1),(532,1)}
       179:{1,3,5,7}:{(132,1),(133,1),(136,1),(139,1),(224,1),(228,1),(229,1),(230,1),(337,1),(427,1)}
       180:{1,2,4,7}:{(133,1),(137,1),(140,1),(229,1),(230,1),(240,1),(336,1),(347,1),(357,1),(360,1),(447,1),(502,1),(526,1)}
       181:{1,4,6}:{(134,1),(142,1),(163,1),(225,1),(232,1)}
       182:{1,5}:{(135,1),(143,1),(226,1)}
       183:{1,4,6}:{(136,1),(144,1),(165,1),(227,1),(229,1),(233,1),(496,1)}
       184:{1,3,6}:{(137,1),(145,1),(166,1),(230,1),(235,1),(359,1),(361,1),(527,1)}
       185:{2,5,7}:{(138,1),(143,1),(150,1),(228,1),(236,1),(547,1)}
       186:{2,4,7}:{(139,1),(144,1),(151,1),(229,1),(238,1),(551,1)}
       187:{3,7}:{(140,1),(145,1)}
       188:{2,4,7}:{(141,1),(146,1),(153,1),(239,1),(240,1),(347,1)}
       189:{2,4,6,7}:{(142,1),(154,1),(167,1),(231,1),(241,1),(268,1)}
       190:{2,5,6}:{(142,1),(143,1),(155,1),(232,1),(241,1)}
       191:{2,4,5}:{(143,1),(144,1),(156,1),(233,1),(243,1),(340,1),(547,1),(552,1)}
       192:{3,4,6}:{(144,1),(145,1),(170,1),(238,1),(243,1),(344,1),(527,1),(528,1)}
       193:{2,3,6}:{(145,1),(146,1),(171,1),(239,1),(245,1),(359,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(240,1),(245,1)}
       195:{4,6,7}:{(147,1),(151,1),(246,1),(251,1)}
       196:{3,6,7}:{(148,1),(152,1),(344,1)}
       197:{2,6,7}:{(149,1),(153,1),(249,1),(426,1)}
       198:{3,5,6}:{(150,1),(236,1),(251,1),(344,1)}
       199:{4,5,7}:{(150,1),(151,1),(156,1),(251,1),(551,1),(552,1)}
       200:{3,4,7}:{(151,1),(152,1),(157,1),(253,1)}
       201:{2,3,5,7}:{(152,1),(153,1),(158,1),(239,1),(248,1),(253,1),(254,1),(352,1)}
       202:{1,5,7}:{(153,1),(159,1),(240,1),(249,1)}
       203:{3,5,7}:{(154,1),(155,1),(241,1),(255,1)}
       204:{4,5,6}:{(155,1),(156,1),(251,1),(255,1)}
       205:{3,4,5}:{(156,1),(157,1),(243,1),(256,1),(528,1)}
       206:{2,4,6}:{(157,1),(158,1),(253,1),(256,1),(257,1)}
       207:{1,3,5,6}:{(158,1),(159,1),(245,1),(254,1),(257,1),(258,1),(349,1),(359,1),(433,1),(437,1),(499,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(231,1),(259,1),(263,1),(323,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(232,1),(260,1),(263,1),(264,1),(324,1),(361,1),(430,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(442,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(340,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(241,1),(263,1),(268,1),(348,1),(429,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(243,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(442,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(245,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(175,1),(273,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(176,1),(273,1),(274,1),(372,1)}
       223:{2,4,6,7}:{(174,1),(176,1),(178,1),(272,1),(275,1),(276,1),(375,1),(518,1)}
       224:{2,3,5,7}:{(174,1),(177,1),(179,1),(275,1),(276,1),(284,1),(308,1),(311,1),(371,1),(376,1),(384,1),(402,1),(404,1),(473,1)}
       225:{2,4,6}:{(175,1),(181,1),(208,1),(273,1),(278,1),(372,1)}
       226:{2,5}:{(176,1),(182,1),(274,1)}
       227:{2,4,6}:{(177,1),(183,1),(210,1),(276,1),(279,1),(280,1),(372,1),(471,1),(519,1)}
       228:{1,5,7}:{(178,1),(182,1),(185,1),(275,1),(281,1),(542,1)}
       229:{1,4,7}:{(179,1),(183,1),(186,1),(276,1)}
       230:{1,3,7}:{(180,1),(184,1),(187,1),(284,1),(402,1),(404,1),(540,1)}
       231:{1,4,6,7}:{(181,1),(189,1),(211,1),(277,1),(285,1),(315,1)}
       232:{1,5,6}:{(181,1),(182,1),(190,1),(278,1),(285,1)}
       233:{1,4,5}:{(182,1),(183,1),(191,1),(279,1),(287,1),(389,1),(542,1)}
       234:{1,3,4,6}:{(183,1),(184,1),(192,1),(214,1),(280,1),(283,1),(287,1),(288,1),(383,1)}
       235:{2,3,6}:{(184,1),(215,1),(284,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,6}:{(185,1),(198,1),(281,1),(291,1)}
       237:{2,4,5,7}:{(185,1),(186,1),(191,1),(199,1),(282,1),(291,1),(292,1),(384,1)}
       238:{3,4,7}:{(186,1),(187,1),(192,1),(292,1),(540,1)}
       239:{2,3,7}:{(187,1),(188,1),(193,1),(294,1),(402,1)}
       240:{1,4,7}:{(188,1),(194,1),(202,1),(294,1)}
       241:{2,5,7}:{(189,1),(190,1),(203,1),(285,1)}
       242:{2,4,5,6}:{(190,1),(191,1),(204,1),(217,1),(286,1),(291,1),(295,1),(296,1),(388,1),(509,1),(536,1),(549,1)}
       243:{3,5}:{(191,1),(192,1)}
       244:{2,3,4,6}:{(192,1),(193,1),(206,1),(219,1),(288,1),(293,1),(297,1),(298,1),(392,1),(462,1),(515,1),(541,1)}
       245:{1,3,6}:{(193,1),(194,1),(220,1),(294,1),(299,1)}
       246:{4,5,7}:{(195,1),(300,1),(301,1)}
       247:{3,4,6,7}:{(195,1),(196,1),(200,1),(301,1),(302,1),(305,1)}
       248:{2,3,6,7}:{(196,1),(197,1),(201,1),(302,1),(303,1),(392,1)}
       249:{1,6,7}:{(197,1),(202,1),(464,1)}
       250:{3,5,6,7}:{(198,1),(203,1),(290,1),(304,1),(391,1),(548,1)}
       251:{4,6}:{(198,1),(199,1)}
       252:{3,4,5,7}:{(199,1),(200,1),(205,1),(292,1),(301,1),(305,1),(306,1),(539,1),(550,1)}
       253:{2,4,7}:{(200,1),(201,1),(206,1),(307,1)}
       254:{1,3,5,7}:{(201,1),(202,1),(207,1),(294,1),(303,1),(307,1),(308,1),(398,1),(402,1),(473,1)}
       255:{4,5,7}:{(203,1),(204,1),(304,1)}
       256:{2,4,5}:{(205,1),(206,1),(297,1),(309,1),(515,1)}
       257:{1,4,6}:{(206,1),(207,1),(307,1),(309,1),(310,1),(519,1)}
       258:{2,5,6}:{(207,1),(299,1),(308,1),(310,1),(395,1),(469,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(285,1),(311,1),(315,1),(371,1),(404,1),(467,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(372,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(287,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(389,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(296,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,4,6,7}:{(222,1),(223,1),(322,1),(323,1),(328,1),(412,1),(414,1),(418,1),(439,1),(500,1),(501,1)}
       273:{3,6}:{(221,1),(225,1)}
       274:{3,5}:{(222,1),(226,1),(325,1)}
       275:{2,5,7}:{(223,1),(226,1),(228,1),(322,1),(326,1),(533,1)}
       276:{2,4,7}:{(224,1),(227,1),(229,1),(328,1),(414,1),(500,1)}
       277:{2,4,6,7}:{(225,1),(231,1),(259,1),(323,1),(329,1),(360,1),(414,1)}
       278:{2,5,6}:{(225,1),(226,1),(232,1),(324,1),(329,1)}
       279:{2,4,5}:{(226,1),(227,1),(233,1),(325,1),(331,1),(340,1),(533,1),(534,1)}
       280:{3,4,6}:{(227,1),(262,1),(328,1),(331,1),(359,1),(361,1),(418,1),(442,1)}
       281:{1,5,6}:{(228,1),(236,1),(326,1),(334,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(233,1),(237,1),(327,1),(334,1),(335,1),(427,1)}
       283:{1,3,4,7}:{(229,1),(230,1),(234,1),(238,1),(328,1),(335,1),(336,1)}
       284:{2,3,7}:{(230,1),(235,1),(336,1),(337,1),(347,1),(502,1)}
       285:{1,5,7}:{(231,1),(232,1),(241,1),(329,1)}
       286:{1,4,5,6}:{(232,1),(233,1),(242,1),(264,1),(330,1),(334,1),(338,1),(339,1),(430,1),(484,1),(522,1)}
       287:{1,3,5}:{(233,1),(234,1),(243,1),(331,1),(340,1)}
       288:{2,4,6}:{(234,1),(235,1),(266,1),(336,1),(340,1),(341,1),(426,1)}
       289:{1,3,6}:{(235,1),(267,1),(337,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(241,1),(250,1),(333,1),(343,1),(543,1)}
       291:{2,4,6}:{(236,1),(237,1),(251,1),(334,1),(344,1),(426,1)}
       292:{3,5,7}:{(237,1),(238,1),(243,1),(344,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(244,1),(253,1),(336,1),(345,1),(346,1),(489,1),(531,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,4,5,7}:{(241,1),(242,1),(255,1),(268,1),(338,1),(343,1),(348,1),(429,1),(526,1),(543,1),(551,1)}
       296:{3,5,6}:{(242,1),(243,1),(269,1),(344,1),(348,1),(527,1)}
       297:{2,3,5}:{(243,1),(244,1),(256,1),(340,1),(349,1),(547,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(257,1),(270,1),(341,1),(346,1),(349,1),(350,1),(359,1),(432,1),(433,1),(442,1),(496,1),(501,1),(532,1)}
       299:{2,6}:{(245,1),(271,1),(347,1)}
       300:{4,5,6}:{(246,1),(251,1),(351,1),(552,1)}
       301:{3,5,7}:{(246,1),(247,1),(351,1),(352,1)}
       302:{2,4,6,7}:{(247,1),(248,1),(253,1),(352,1),(353,1),(355,1)}
       303:{1,3,6,7}:{(248,1),(249,1),(254,1),(353,1),(354,1),(433,1),(439,1)}
       304:{4,6,7}:{(250,1),(251,1),(255,1),(551,1)}
       305:{3,4,6}:{(251,1),(252,1),(344,1),(351,1),(355,1)}
       306:{2,4,5,7}:{(252,1),(253,1),(256,1),(345,1),(352,1),(355,1),(356,1),(531,1),(547,1)}
       307:{1,4,7}:{(253,1),(254,1),(257,1),(357,1),(500,1)}
       308:{2,5,7}:{(254,1),(258,1),(347,1),(354,1),(357,1)}
       309:{1,4,5}:{(256,1),(257,1),(349,1),(358,1),(496,1),(534,1)}
       310:{2,4,6}:{(257,1),(258,1),(357,1),(358,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(414,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(339,1),(361,1),(364,1),(365,1),(415,1),(444,1),(484,1),(527,1)}
       317:{2,4,5}:{(265,1),(266,1),(340,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(348,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,5,7}:{(272,1),(274,1),(275,1),(369,1),(370,1),(520,1)}
       323:{3,6,7}:{(273,1),(277,1),(371,1),(404,1)}
       324:{3,5,6}:{(273,1),(274,1),(278,1),(371,1),(372,1)}
       325:{4,5}:{(274,1),(372,1)}
       326:{2,5,6}:{(275,1),(281,1),(369,1),(375,1)}
       327:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(370,1),(375,1),(376,1),(384,1)}
       328:{3,4,7}:{(276,1),(280,1),(376,1),(402,1),(404,1)}
       329:{2,5,7}:{(277,1),(278,1),(285,1),(371,1)}
       330:{2,4,5,6}:{(278,1),(279,1),(286,1),(312,1),(372,1),(375,1),(378,1),(379,1),(388,1),(448,1),(453,1),(504,1)}
       331:{3,5}:{(279,1),(280,1)}
       332:{2,3,4,6}:{(280,1),(288,1),(314,1),(377,1),(380,1),(381,1),(396,1),(405,1),(453,1),(456,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(285,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,6}:{(281,1),(282,1),(291,1),(375,1),(383,1),(464,1)}
       335:{1,3,5,7}:{(282,1),(283,1),(287,1),(292,1),(376,1),(383,1),(384,1)}
       336:{2,4,7}:{(283,1),(284,1),(288,1),(384,1),(385,1)}
       337:{1,3,7}:{(284,1),(289,1),(385,1),(386,1)}
       338:{1,4,5,7}:{(285,1),(286,1),(295,1),(315,1),(378,1),(382,1),(387,1),(467,1),(508,1),(535,1)}
       339:{1,3,5,6}:{(286,1),(287,1),(296,1),(316,1),(379,1),(383,1),(387,1),(388,1)}
       340:{2,5}:{(287,1),(288,1),(389,1)}
       341:{1,4,6}:{(288,1),(289,1),(318,1),(385,1),(389,1),(464,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(386,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(295,1),(304,1),(382,1),(391,1),(463,1)}
       344:{3,6}:{(291,1),(292,1)}
       345:{2,3,5,7}:{(292,1),(293,1),(297,1),(306,1),(384,1),(392,1),(393,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(307,1),(385,1),(393,1),(394,1),(402,1),(466,1),(475,1),(517,1)}
       347:{2,7}:{(294,1),(299,1)}
       348:{3,5,7}:{(295,1),(296,1),(320,1),(391,1),(540,1)}
       349:{1,3,5}:{(297,1),(298,1),(309,1),(389,1),(395,1),(403,1),(520,1),(542,1)}
       350:{2,4,6}:{(298,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       351:{3,5,6}:{(300,1),(301,1),(305,1),(397,1),(550,1)}
       352:{2,5,7}:{(301,1),(302,1),(397,1),(398,1)}
       353:{1,4,6,7}:{(302,1),(303,1),(307,1),(398,1),(399,1),(400,1)}
       354:{2,6,7}:{(303,1),(308,1),(469,1)}
       355:{2,4,6}:{(305,1),(306,1),(392,1),(397,1),(400,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(309,1),(393,1),(398,1),(400,1),(401,1),(517,1),(542,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(402,1)}
       358:{2,4,5}:{(309,1),(310,1),(395,1),(403,1),(471,1)}
       359:{3,6}:{(310,1),(402,1),(403,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(387,1),(404,1),(408,1),(452,1),(476,1),(508,1),(540,1)}
       365:{2,4,6}:{(316,1),(317,1),(388,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(389,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,6}:{(322,1),(326,1),(412,1),(418,1)}
       370:{4,5,7}:{(322,1),(325,1),(412,1),(414,1),(500,1),(534,1)}
       371:{3,5,7}:{(323,1),(324,1),(329,1),(414,1)}
       372:{4,6}:{(324,1),(325,1),(414,1)}
       373:{3,4,5}:{(325,1),(331,1),(415,1),(416,1),(442,1)}
       374:{2,5,6,7}:{(326,1),(329,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,6}:{(326,1),(327,1),(334,1),(412,1),(418,1),(426,1)}
       376:{3,5,7}:{(327,1),(328,1),(331,1),(418,1)}
       377:{2,3,4,7}:{(328,1),(332,1),(336,1),(419,1),(420,1),(435,1),(443,1),(483,1),(498,1)}
       378:{2,4,5,7}:{(329,1),(330,1),(338,1),(360,1),(414,1),(417,1),(421,1),(429,1),(478,1),(483,1),(521,1)}
       379:{3,5,6}:{(330,1),(331,1),(361,1),(415,1),(418,1),(421,1)}
       380:{2,3,5}:{(331,1),(332,1),(340,1),(416,1),(423,1),(533,1)}
       381:{1,3,4,6}:{(332,1),(341,1),(363,1),(420,1),(423,1),(424,1),(432,1),(444,1),(484,1),(487,1),(496,1),(527,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(338,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,6}:{(334,1),(335,1),(344,1),(418,1),(426,1)}
       384:{2,5,7}:{(335,1),(336,1),(340,1),(426,1),(427,1)}
       385:{1,4,7}:{(336,1),(337,1),(341,1),(427,1)}
       386:{1,2,7}:{(337,1),(342,1),(347,1),(502,1)}
       387:{1,3,5,7}:{(338,1),(339,1),(348,1),(364,1),(421,1),(425,1),(429,1)}
       388:{2,5,6}:{(339,1),(340,1),(365,1),(426,1),(429,1),(430,1)}
       389:{1,5}:{(340,1),(341,1)}
       390:{1,2,4,6}:{(341,1),(342,1),(350,1),(367,1),(424,1),(428,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       391:{3,6,7}:{(343,1),(344,1),(348,1)}
       392:{2,3,6}:{(344,1),(345,1),(355,1),(426,1),(433,1)}
       393:{1,3,5,7}:{(345,1),(346,1),(349,1),(356,1),(427,1),(433,1),(434,1),(441,1)}
       394:{2,4,7}:{(346,1),(347,1),(350,1),(434,1),(435,1)}
       395:{2,5}:{(349,1),(350,1)}
       396:{2,3,6}:{(350,1),(359,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,5,7}:{(352,1),(353,1),(437,1),(438,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(357,1),(438,1),(439,1),(440,1),(500,1)}
       400:{1,4,6}:{(355,1),(356,1),(433,1),(437,1),(440,1)}
       401:{2,4,5,7}:{(356,1),(357,1),(358,1),(434,1),(438,1),(440,1),(441,1),(498,1),(500,1),(533,1),(534,1)}
       402:{3,7}:{(357,1),(359,1)}
       403:{3,5}:{(358,1),(359,1),(442,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(527,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(429,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(430,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(449,1),(455,1),(503,1)}
       412:{4,6}:{(369,1),(370,1)}
       413:{3,4,5,7}:{(370,1),(373,1),(376,1),(450,1),(451,1),(452,1),(475,1),(503,1),(520,1)}
       414:{4,7}:{(371,1),(372,1)}
       415:{3,4,6}:{(372,1),(373,1),(379,1),(452,1),(453,1)}
       416:{2,4,5}:{(373,1),(380,1),(453,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(378,1),(382,1),(449,1),(455,1),(463,1)}
       418:{3,6}:{(375,1),(376,1)}
       419:{2,3,5,7}:{(376,1),(377,1),(380,1),(384,1),(451,1),(456,1),(457,1)}
       420:{1,3,4,7}:{(377,1),(381,1),(385,1),(457,1),(458,1),(466,1),(476,1),(508,1),(517,1),(539,1),(540,1)}
       421:{3,5,7}:{(378,1),(379,1),(404,1),(452,1),(455,1)}
       422:{2,3,5,6}:{(379,1),(380,1),(388,1),(405,1),(453,1),(456,1),(459,1),(460,1),(504,1)}
       423:{1,3,5}:{(380,1),(381,1),(389,1),(454,1),(461,1),(510,1),(542,1),(550,1)}
       424:{2,4,6}:{(381,1),(407,1),(458,1),(461,1),(462,1),(477,1),(512,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(387,1),(391,1),(455,1),(463,1)}
       426:{2,6}:{(383,1),(384,1),(464,1)}
       427:{1,5,7}:{(384,1),(385,1),(389,1),(464,1)}
       428:{1,2,4,7}:{(385,1),(386,1),(390,1),(394,1),(458,1),(465,1),(466,1),(517,1)}
       429:{2,5,7}:{(387,1),(388,1),(408,1),(463,1),(467,1)}
       430:{1,5,6}:{(388,1),(389,1),(409,1),(464,1),(467,1)}
       431:{1,2,5}:{(389,1),(390,1),(395,1),(461,1),(468,1),(542,1)}
       432:{1,3,6}:{(390,1),(396,1),(410,1),(462,1),(466,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(400,1),(464,1),(469,1),(474,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,7}:{(394,1),(396,1),(402,1),(466,1)}
       436:{2,3,5}:{(395,1),(396,1),(403,1),(468,1),(471,1)}
       437:{1,5,6}:{(397,1),(398,1),(400,1),(472,1),(542,1)}
       438:{2,5,7}:{(398,1),(399,1),(472,1),(473,1)}
       439:{3,6,7}:{(399,1),(402,1),(473,1),(474,1)}
       440:{2,4,6}:{(400,1),(401,1),(469,1),(472,1),(474,1),(519,1)}
       441:{3,5,7}:{(401,1),(402,1),(403,1),(474,1),(475,1),(520,1)}
       442:{3,4}:{(403,1),(471,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(540,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(467,1),(476,1)}
       448:{4,5,6}:{(412,1),(478,1),(479,1),(534,1)}
       449:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       450:{3,4,6}:{(412,1),(413,1),(418,1),(479,1),(481,1)}
       451:{2,4,5,7}:{(413,1),(416,1),(419,1),(481,1),(482,1),(483,1),(498,1),(521,1),(533,1)}
       452:{3,4,7}:{(414,1),(415,1),(421,1),(483,1)}
       453:{2,4,6}:{(415,1),(416,1),(422,1),(483,1),(484,1)}
       454:{1,4,5}:{(416,1),(423,1),(484,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(421,1)}
       456:{2,3,6}:{(418,1),(419,1),(426,1),(481,1),(487,1)}
       457:{1,3,5,7}:{(419,1),(420,1),(423,1),(427,1),(482,1),(487,1),(488,1),(525,1)}
       458:{2,4,7}:{(420,1),(424,1),(488,1),(489,1),(502,1)}
       459:{2,3,5,7}:{(421,1),(422,1),(429,1),(443,1),(483,1),(486,1),(490,1),(521,1)}
       460:{1,3,5,6}:{(422,1),(423,1),(430,1),(444,1),(484,1),(487,1),(490,1),(491,1),(522,1),(527,1),(544,1)}
       461:{2,5}:{(423,1),(424,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(489,1),(492,1),(527,1)}
       463:{2,6,7}:{(425,1),(426,1),(429,1),(493,1)}
       464:{1,6}:{(426,1),(427,1)}
       465:{1,2,5,7}:{(427,1),(428,1),(431,1),(434,1),(488,1),(494,1),(495,1)}
       466:{1,3,7}:{(428,1),(432,1),(435,1),(489,1)}
       467:{1,5,7}:{(429,1),(430,1),(447,1),(493,1)}
       468:{1,3,5}:{(431,1),(432,1),(436,1),(492,1),(496,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(441,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(436,1),(442,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(440,1),(499,1),(533,1)}
       473:{3,5,7}:{(438,1),(439,1),(499,1),(500,1)}
       474:{3,6}:{(440,1),(441,1)}
       475:{3,4,7}:{(441,1),(442,1),(498,1),(500,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(449,1),(503,1)}
       479:{3,5,6}:{(448,1),(450,1),(503,1),(504,1),(520,1)}
       480:{3,4,6,7}:{(449,1),(450,1),(452,1),(455,1),(503,1),(505,1)}
       481:{2,4,6}:{(450,1),(451,1),(456,1),(504,1),(506,1)}
       482:{1,4,5,7}:{(451,1),(454,1),(457,1),(506,1),(507,1),(508,1),(517,1),(535,1),(542,1)}
       483:{2,4,7}:{(452,1),(453,1),(459,1),(508,1)}
       484:{1,4,6}:{(453,1),(454,1),(460,1),(508,1),(509,1),(549,1)}
       485:{2,4,5}:{(454,1),(461,1),(509,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(459,1),(463,1),(505,1),(511,1)}
       487:{1,3,6}:{(456,1),(457,1),(464,1),(506,1),(512,1),(538,1)}
       488:{2,5,7}:{(457,1),(458,1),(461,1),(512,1)}
       489:{2,3,7}:{(458,1),(462,1),(466,1),(540,1)}
       490:{1,3,5,7}:{(459,1),(460,1),(467,1),(476,1),(508,1),(511,1),(514,1),(535,1),(540,1),(548,1)}
       491:{2,5,6}:{(460,1),(461,1),(477,1),(509,1),(512,1),(514,1)}
       492:{2,3,5}:{(461,1),(462,1),(468,1),(510,1),(515,1)}
       493:{1,6,7}:{(463,1),(464,1),(467,1)}
       494:{1,2,6}:{(464,1),(465,1),(469,1),(512,1),(516,1)}
       495:{1,3,5,7}:{(465,1),(466,1),(468,1),(470,1),(513,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(468,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(474,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(475,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(474,1),(519,1),(520,1)}
       500:{4,7}:{(473,1),(519,1)}
       501:{3,4,6}:{(474,1),(475,1),(518,1),(519,1),(520,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,5,6}:{(479,1),(481,1),(521,1),(522,1),(533,1)}
       505:{2,4,6,7}:{(480,1),(481,1),(483,1),(486,1),(521,1),(523,1)}
       506:{1,4,6}:{(481,1),(482,1),(487,1),(522,1),(524,1)}
       507:{2,4,5,7}:{(482,1),(485,1),(488,1),(524,1),(525,1),(526,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       508:{1,4,7}:{(483,1),(484,1),(490,1),(526,1),(551,1)}
       509:{2,4,6}:{(484,1),(485,1),(491,1),(526,1),(527,1)}
       510:{3,5}:{(485,1),(527,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(490,1),(493,1),(523,1),(529,1),(545,1)}
       512:{2,6}:{(487,1),(488,1)}
       513:{2,3,5,7}:{(488,1),(489,1),(492,1),(495,1),(525,1),(530,1),(531,1),(547,1)}
       514:{2,5,7}:{(490,1),(491,1),(502,1),(526,1),(529,1)}
       515:{2,4}:{(492,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(501,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(500,1),(534,1)}
       520:{3,5}:{(501,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(505,1),(535,1)}
       522:{1,5,6}:{(504,1),(506,1),(535,1),(536,1),(542,1)}
       523:{1,4,6,7}:{(505,1),(506,1),(508,1),(511,1),(535,1),(537,1)}
       524:{2,4,6}:{(506,1),(507,1),(512,1),(536,1),(538,1),(549,1)}
       525:{3,5,7}:{(507,1),(510,1),(538,1),(539,1),(540,1),(550,1)}
       526:{2,4,7}:{(508,1),(509,1),(514,1),(540,1)}
       527:{3,6}:{(509,1),(510,1),(540,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(514,1)}
       530:{2,3,6}:{(512,1),(513,1),(516,1),(538,1),(541,1)}
       531:{2,4,7}:{(513,1),(515,1),(517,1),(539,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(523,1),(543,1)}
       536:{2,5,6}:{(522,1),(524,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(523,1),(524,1),(526,1),(529,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(524,1),(525,1)}
       539:{3,4,7}:{(525,1),(528,1),(531,1),(546,1),(551,1)}
       540:{3,7}:{(526,1),(527,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 471 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(125,1)}
         1:{4,5,6}:{(7,1),(8,1),(135,1),(148,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(76,1),(112,1)}
         4:{2,3,4}:{(5,1),(12,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(13,1),(14,1)}
         6:{5,6,7}:{(15,1),(151,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{3,5,6}:{(1,1),(2,1),(16,1),(17,1),(125,1),(145,1)}
         9:{3,4,7}:{(2,1),(16,1),(18,1)}
        10:{2,4,6}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1)}
        11:{1,4,5}:{(3,1),(14,1),(19,1),(20,1),(62,1),(97,1)}
        12:{1,3,4}:{(4,1),(14,1),(21,1),(42,1),(43,1),(62,1)}
        13:{2,3,6}:{(5,1),(10,1),(22,1),(23,1)}
        14:{1,3,5}:{(5,1),(11,1),(12,1),(23,1),(24,1),(30,1)}
        15:{4,6,7}:{(6,1),(7,1),(25,1),(148,1)}
        16:{3,5,7}:{(7,1),(8,1),(9,1),(25,1),(26,1)}
        17:{2,5,6}:{(8,1),(10,1),(26,1),(27,1),(112,1),(139,1)}
        18:{2,4,7}:{(9,1),(10,1),(22,1),(26,1),(28,1)}
        19:{1,4,6}:{(10,1),(11,1),(23,1),(27,1),(28,1),(29,1)}
        20:{2,4,5}:{(11,1),(24,1),(29,1),(30,1),(49,1),(81,1),(85,1)}
        21:{2,4}:{(12,1),(24,1),(32,1)}
        22:{2,3,7}:{(13,1),(18,1),(34,1)}
        23:{1,3,6}:{(13,1),(14,1),(19,1),(34,1),(35,1),(41,1)}
        24:{2,5}:{(14,1),(21,1),(35,1)}
        25:{3,6,7}:{(15,1),(16,1),(37,1),(145,1)}
        26:{2,5,7}:{(16,1),(17,1),(18,1),(37,1),(38,1)}
        27:{1,5,6}:{(17,1),(19,1),(38,1),(39,1),(97,1),(130,1)}
        28:{1,4,7}:{(18,1),(19,1),(34,1),(38,1),(40,1)}
        29:{2,4,6}:{(19,1),(20,1),(35,1),(39,1),(40,1),(41,1),(68,1)}
        30:{3,5}:{(20,1),(41,1),(42,1)}
        31:{1,2,4}:{(21,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(21,1),(43,1)}
        33:{1,2,5}:{(24,1),(31,1),(45,1),(46,1),(89,1)}
        34:{1,3,7}:{(22,1),(23,1),(28,1),(47,1),(53,1)}
        35:{2,6}:{(23,1),(24,1),(47,1)}
        36:{2,3,5}:{(24,1),(30,1),(32,1),(46,1),(48,1),(49,1),(81,1)}
        37:{2,6,7}:{(25,1),(26,1),(50,1),(139,1)}
        38:{1,5,7}:{(26,1),(27,1),(28,1),(50,1),(51,1)}
        39:{2,5,6}:{(27,1),(29,1),(51,1),(52,1),(81,1),(117,1)}
        40:{2,4,7}:{(28,1),(29,1),(47,1),(51,1),(53,1),(84,1)}
        41:{3,6}:{(29,1),(30,1),(53,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(35,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(61,1),(62,1),(97,1)}
        47:{2,7}:{(34,1),(35,1)}
        48:{2,3,6}:{(35,1),(36,1),(41,1),(61,1),(63,1),(64,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{1,6,7}:{(37,1),(38,1),(66,1),(130,1)}
        51:{2,5,7}:{(38,1),(39,1),(40,1),(66,1),(67,1)}
        52:{3,5,6}:{(39,1),(41,1),(67,1),(68,1),(70,1),(105,1),(133,1)}
        53:{3,7}:{(40,1),(41,1)}
        54:{3,4,6}:{(41,1),(42,1),(64,1),(68,1),(69,1),(70,1),(105,1)}
        55:{3,4,5}:{(42,1),(65,1),(70,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(112,1)}
        60:{1,2,7}:{(45,1),(47,1),(77,1),(123,1)}
        61:{1,3,6}:{(45,1),(46,1),(48,1),(75,1),(77,1),(78,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,3,7}:{(47,1),(48,1),(53,1),(77,1),(80,1)}
        64:{2,4,6}:{(48,1),(49,1),(54,1),(78,1),(80,1),(81,1),(117,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(81,1),(82,1)}
        66:{2,6,7}:{(50,1),(51,1),(83,1),(117,1)}
        67:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(119,1)}
        68:{4,6}:{(52,1),(84,1),(85,1)}
        69:{3,4,7}:{(53,1),(54,1),(80,1),(84,1),(86,1)}
        70:{3,5}:{(54,1),(81,1),(85,1)}
        71:{3,4,6}:{(55,1),(82,1),(87,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(61,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,3,7}:{(60,1),(61,1),(63,1),(93,1),(96,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(94,1),(96,1),(97,1),(130,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(97,1),(98,1)}
        80:{2,4,7}:{(63,1),(64,1),(69,1),(96,1),(99,1)}
        81:{2,5}:{(64,1),(70,1),(97,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(100,1),(101,1)}
        83:{3,6,7}:{(66,1),(67,1),(102,1),(105,1)}
        84:{4,7}:{(67,1),(68,1)}
        85:{4,5}:{(68,1),(70,1)}
        86:{3,5,7}:{(69,1),(70,1),(99,1),(103,1),(105,1)}
        87:{3,5,6}:{(70,1),(71,1),(100,1),(104,1),(105,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,3,7}:{(75,1),(77,1),(111,1),(123,1),(138,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(109,1),(111,1),(112,1),(139,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(112,1),(113,1),(135,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(114,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(115,1),(116,1)}
        99:{2,5,7}:{(80,1),(81,1),(86,1),(114,1),(117,1)}
       100:{2,5,6}:{(81,1),(82,1),(87,1),(115,1),(117,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(118,1)}
       102:{4,6,7}:{(83,1),(84,1),(119,1),(120,1)}
       103:{4,5,7}:{(84,1),(85,1),(86,1),(119,1),(120,1)}
       104:{4,5,6}:{(85,1),(87,1),(120,1),(121,1)}
       105:{3,6}:{(86,1),(117,1),(120,1)}
       106:{3,5,7}:{(87,1),(88,1),(118,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(144,1),(145,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(124,1),(127,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(128,1),(129,1),(144,1)}
       114:{1,5,7}:{(96,1),(97,1),(99,1),(127,1),(130,1)}
       115:{1,5,6}:{(97,1),(98,1),(100,1),(128,1),(130,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(131,1)}
       117:{2,6}:{(99,1),(105,1),(130,1)}
       118:{2,5,7}:{(100,1),(101,1),(106,1),(131,1),(132,1)}
       119:{5,7}:{(102,1),(133,1)}
       120:{4,6}:{(103,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(106,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,4,7}:{(109,1),(111,1),(136,1),(138,1),(149,1)}
       125:{3,5}:{(109,1),(112,1),(135,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,7}:{(111,1),(112,1),(114,1),(136,1),(139,1)}
       128:{2,5,6}:{(112,1),(113,1),(115,1),(137,1),(139,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(140,1),(149,1)}
       130:{1,6}:{(114,1),(117,1),(139,1)}
       131:{1,5,7}:{(115,1),(116,1),(118,1),(140,1),(141,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{5,6}:{(119,1),(120,1)}
       134:{4,6,7}:{(120,1),(121,1),(122,1),(142,1)}
       135:{4,5}:{(125,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(127,1),(143,1),(145,1)}
       137:{3,5,6}:{(125,1),(126,1),(128,1),(144,1),(145,1),(146,1),(151,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,6}:{(127,1),(130,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(131,1),(146,1),(147,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(135,1),(136,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(135,1),(137,1),(149,1)}
       145:{3,6}:{(136,1),(139,1),(148,1)}
       146:{3,5,7}:{(137,1),(138,1),(140,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 472 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(128,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(108,1),(128,1)}
         5:{3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
         6:{4,6,7}:{(1,1),(2,1),(13,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
         8:{2,5,6}:{(3,1),(12,1),(14,1),(15,1),(116,1),(139,1)}
         9:{2,4,5}:{(4,1),(12,1),(16,1),(17,1),(91,1),(116,1)}
        10:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        11:{3,4,7}:{(5,1),(7,1),(20,1)}
        12:{2,4,6}:{(5,1),(8,1),(9,1),(19,1),(20,1),(21,1)}
        13:{3,6,7}:{(6,1),(7,1),(22,1),(145,1)}
        14:{2,5,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{1,5,6}:{(8,1),(21,1),(23,1),(24,1),(101,1),(131,1)}
        16:{2,3,5}:{(9,1),(10,1),(19,1),(25,1)}
        17:{1,4,5}:{(9,1),(21,1),(25,1),(26,1),(75,1),(101,1)}
        18:{1,3,4}:{(10,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(12,1),(16,1),(28,1),(29,1)}
        20:{2,4,7}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
        21:{1,4,6}:{(12,1),(15,1),(17,1),(29,1),(30,1),(31,1)}
        22:{2,6,7}:{(13,1),(14,1),(32,1),(139,1)}
        23:{1,5,7}:{(14,1),(15,1),(30,1),(32,1),(33,1)}
        24:{2,5,6}:{(15,1),(31,1),(33,1),(34,1),(85,1),(119,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(29,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(31,1),(35,1),(36,1),(58,1),(60,1),(85,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{2,3,7}:{(19,1),(20,1),(39,1)}
        29:{1,3,6}:{(19,1),(21,1),(25,1),(39,1),(40,1),(42,1)}
        30:{1,4,7}:{(20,1),(21,1),(23,1),(39,1),(41,1)}
        31:{2,4,6}:{(21,1),(24,1),(26,1),(40,1),(41,1),(42,1),(45,1)}
        32:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        33:{2,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,5,6}:{(24,1),(42,1),(44,1),(45,1),(70,1),(104,1),(106,1)}
        35:{2,5}:{(25,1),(27,1),(40,1)}
        36:{3,5}:{(26,1),(42,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{1,3,7}:{(28,1),(29,1),(30,1),(52,1),(54,1)}
        40:{2,6}:{(29,1),(35,1),(52,1)}
        41:{2,4,7}:{(30,1),(31,1),(33,1),(52,1),(54,1),(57,1)}
        42:{3,6}:{(31,1),(36,1),(54,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(119,1)}
        44:{3,5,7}:{(33,1),(34,1),(54,1),(56,1),(57,1),(88,1)}
        45:{4,6}:{(34,1),(57,1),(58,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(53,1),(59,1),(60,1),(85,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(40,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,7}:{(39,1),(40,1)}
        53:{2,3,6}:{(40,1),(42,1),(47,1),(66,1),(67,1),(68,1)}
        54:{3,7}:{(41,1),(42,1)}
        55:{3,4,6}:{(42,1),(45,1),(48,1),(68,1),(69,1),(70,1),(104,1)}
        56:{3,6,7}:{(43,1),(44,1),(71,1),(104,1)}
        57:{4,7}:{(44,1),(45,1)}
        58:{4,5}:{(45,1),(70,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(66,1),(74,1),(75,1),(101,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(70,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,2,7}:{(51,1),(52,1),(82,1),(126,1)}
        66:{1,3,6}:{(51,1),(53,1),(59,1),(81,1),(82,1),(83,1)}
        67:{2,3,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        68:{2,4,6}:{(53,1),(55,1),(60,1),(83,1),(84,1),(85,1),(119,1)}
        69:{3,4,7}:{(54,1),(55,1),(57,1),(84,1),(86,1)}
        70:{3,5}:{(55,1),(58,1),(85,1)}
        71:{4,6,7}:{(56,1),(57,1),(88,1),(89,1)}
        72:{4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        73:{4,5,6}:{(58,1),(87,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(116,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(85,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(87,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(66,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,3,7}:{(65,1),(66,1),(67,1),(98,1),(100,1)}
        83:{1,4,6}:{(66,1),(68,1),(75,1),(99,1),(100,1),(101,1),(131,1)}
        84:{2,4,7}:{(67,1),(68,1),(69,1),(100,1),(102,1)}
        85:{2,5}:{(68,1),(70,1),(101,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(102,1),(104,1)}
        87:{3,5,6}:{(70,1),(73,1),(77,1),(103,1),(104,1),(105,1)}
        88:{5,7}:{(71,1),(106,1)}
        89:{4,6}:{(72,1),(104,1),(106,1)}
        90:{4,5,7}:{(73,1),(105,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(101,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(103,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(105,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,3,7}:{(81,1),(82,1),(115,1),(126,1),(142,1)}
        99:{2,4,6}:{(81,1),(83,1),(91,1),(114,1),(115,1),(116,1),(139,1)}
       100:{1,4,7}:{(82,1),(83,1),(84,1),(115,1),(117,1)}
       101:{1,5}:{(83,1),(85,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(86,1),(117,1),(119,1)}
       103:{2,5,6}:{(85,1),(87,1),(93,1),(118,1),(119,1),(120,1)}
       104:{3,6}:{(86,1),(89,1),(119,1)}
       105:{3,5,7}:{(87,1),(90,1),(94,1),(120,1),(121,1)}
       106:{5,6}:{(88,1),(89,1)}
       107:{4,6,7}:{(89,1),(90,1),(121,1),(122,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(116,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(118,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(120,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(99,1),(108,1),(127,1),(128,1),(134,1),(144,1),(145,1)}
       115:{2,4,7}:{(98,1),(99,1),(100,1),(127,1),(129,1)}
       116:{2,5}:{(99,1),(101,1),(128,1)}
       117:{1,5,7}:{(100,1),(101,1),(102,1),(129,1),(131,1)}
       118:{1,5,6}:{(101,1),(103,1),(110,1),(130,1),(131,1),(132,1)}
       119:{2,6}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(105,1),(111,1),(132,1),(133,1)}
       121:{3,6,7}:{(104,1),(105,1),(107,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(130,1),(134,1),(135,1),(144,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(132,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,4,7}:{(114,1),(115,1),(137,1),(142,1),(149,1)}
       128:{3,5}:{(114,1),(116,1),(136,1)}
       129:{2,5,7}:{(115,1),(116,1),(117,1),(137,1),(139,1)}
       130:{2,5,6}:{(116,1),(118,1),(124,1),(138,1),(139,1),(140,1)}
       131:{1,6}:{(117,1),(119,1),(139,1)}
       132:{1,5,7}:{(118,1),(120,1),(125,1),(140,1),(141,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(149,1)}
       136:{4,5}:{(128,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(129,1),(143,1),(145,1)}
       138:{3,5,6}:{(128,1),(130,1),(134,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(129,1),(131,1),(145,1)}
       140:{2,5,7}:{(130,1),(132,1),(135,1),(146,1),(147,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 473 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 474 :   0:{3,4,6,7}:{(2,1),(3,1),(15,1),(23,1),(38,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(38,1),(62,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(13,1),(25,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(7,1),(11,1),(12,1),(26,1),(50,1),(74,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(13,1),(29,1),(53,1),(58,1)}
         6:{3,5,6}:{(3,1),(14,1),(15,1),(38,1),(103,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(37,1)}
         8:{2,5,7}:{(2,1),(3,1),(14,1),(17,1)}
         9:{4,5,7}:{(3,1),(15,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(20,1),(38,1),(43,1),(62,1),(67,1),(68,1),(103,1)}
        11:{2,6,7}:{(4,1),(21,1),(62,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(17,1),(19,1),(21,1),(22,1),(39,1),(46,1),(65,1),(70,1)}
        13:{2,4,7}:{(5,1),(20,1),(22,1),(23,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(100,1)}
        15:{4,6}:{(6,1),(9,1),(104,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(26,1),(27,1),(34,1),(49,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(13,1),(25,1),(28,1),(29,1),(30,1),(53,1),(93,1),(100,1),(104,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(24,1),(31,1),(32,1),(48,1),(50,1),(55,1),(56,1),(74,1),(79,1),(80,1)}
        20:{2,4,6}:{(10,1),(13,1),(30,1),(32,1),(33,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(31,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
        23:{3,4,7}:{(13,1),(29,1),(33,1),(104,1)}
        24:{1,5,6}:{(14,1),(17,1),(36,1),(37,1),(96,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1),(62,1)}
        26:{3,6,7}:{(16,1),(39,1),(46,1),(61,1)}
        27:{2,5,7}:{(16,1),(17,1),(36,1),(39,1)}
        28:{1,4,5,7}:{(17,1),(18,1),(22,1),(37,1),(40,1),(41,1),(42,1),(65,1),(85,1),(96,1)}
        29:{3,5,7}:{(18,1),(23,1),(38,1),(43,1),(98,1),(103,1)}
        30:{2,4,5}:{(20,1),(42,1),(43,1),(67,1),(99,1)}
        31:{2,5,6}:{(19,1),(21,1),(44,1),(62,1),(67,1),(89,1)}
        32:{1,4,6}:{(19,1),(20,1),(22,1),(42,1),(44,1),(60,1)}
        33:{3,4,6}:{(20,1),(23,1),(38,1),(43,1)}
        34:{2,4,7}:{(21,1),(22,1),(44,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(41,1),(45,1),(46,1),(47,1),(63,1),(70,1),(85,1),(98,1)}
        36:{2,5,6}:{(24,1),(27,1),(48,1),(49,1),(90,1)}
        37:{1,4,6}:{(24,1),(25,1),(28,1),(49,1),(50,1),(74,1)}
        38:{3,6}:{(25,1),(29,1)}
        39:{3,5,7}:{(26,1),(27,1),(48,1),(51,1)}
        40:{2,4,5,7}:{(27,1),(28,1),(34,1),(49,1),(51,1),(52,1),(53,1),(54,1),(71,1),(75,1),(90,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(35,1),(50,1),(52,1),(53,1),(55,1)}
        42:{1,4,5}:{(30,1),(32,1),(54,1),(55,1),(71,1),(79,1),(94,1),(104,1)}
        43:{3,5}:{(30,1),(33,1),(102,1)}
        44:{2,4,6}:{(31,1),(32,1),(34,1),(54,1),(56,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(50,1),(55,1),(56,1),(57,1),(72,1),(77,1),(80,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{3,7}:{(34,1),(56,1)}
        47:{2,4,7}:{(35,1),(53,1),(57,1),(58,1),(59,1),(81,1)}
        48:{3,5,6}:{(36,1),(39,1),(60,1),(61,1),(82,1)}
        49:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(61,1),(62,1)}
        50:{1,3,6}:{(37,1),(38,1),(41,1),(61,1),(62,1)}
        51:{4,7}:{(39,1),(60,1)}
        52:{3,5,7}:{(40,1),(46,1),(61,1),(63,1),(66,1),(82,1)}
        53:{2,5,7}:{(41,1),(47,1),(62,1),(65,1),(67,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(67,1),(87,1)}
        55:{1,3,5}:{(42,1),(43,1),(45,1),(66,1),(67,1),(82,1),(96,1),(103,1)}
        56:{3,6}:{(44,1),(46,1),(66,1)}
        57:{2,4,6}:{(45,1),(47,1),(62,1),(67,1),(68,1),(69,1),(87,1),(89,1),(99,1)}
        58:{2,3,7}:{(46,1),(47,1),(68,1),(70,1),(98,1)}
        59:{1,4,7}:{(47,1),(65,1),(69,1),(70,1)}
        60:{4,6}:{(48,1),(51,1),(71,1)}
        61:{3,6}:{(49,1),(52,1)}
        62:{2,6}:{(50,1),(53,1),(74,1)}
        63:{3,4,7}:{(51,1),(52,1),(72,1),(75,1),(77,1)}
        64:{2,3,5,7}:{(52,1),(53,1),(58,1),(73,1),(75,1),(76,1),(78,1),(90,1)}
        65:{1,5,7}:{(53,1),(59,1),(74,1),(79,1)}
        66:{3,5}:{(54,1),(56,1),(77,1)}
        67:{2,5}:{(55,1),(57,1),(79,1)}
        68:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1),(101,1),(102,1)}
        69:{1,4,6}:{(57,1),(59,1),(74,1),(79,1),(80,1),(94,1)}
        70:{1,3,7}:{(58,1),(59,1),(80,1),(81,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(63,1),(82,1),(83,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1)}
        74:{1,6}:{(62,1),(65,1)}
        75:{2,4,7}:{(63,1),(64,1),(83,1),(85,1),(87,1)}
        76:{1,3,5,7}:{(64,1),(65,1),(70,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(87,1),(88,1),(103,1)}
        79:{1,5}:{(67,1),(69,1)}
        80:{1,3,6}:{(68,1),(69,1),(70,1),(88,1),(89,1)}
        81:{2,7}:{(70,1),(89,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(75,1),(90,1),(91,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(91,1),(92,1),(101,1)}
        85:{1,4,7}:{(75,1),(76,1),(91,1),(93,1),(94,1),(104,1)}
        86:{2,5,7}:{(76,1),(81,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(80,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(80,1),(81,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,6}:{(84,1),(86,1)}
        93:{2,4,7}:{(85,1),(86,1),(97,1),(98,1),(99,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(93,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 475 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(14,1),(22,1),(41,1),(47,1),(49,1),(81,1),(86,1),(87,1),(117,1),(143,1)}
         1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(28,1),(31,1),(37,1),(64,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(105,1),(106,1),(132,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(26,1),(30,1),(61,1),(67,1),(69,1),(100,1),(164,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(22,1),(41,1),(57,1),(93,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(16,1),(41,1),(76,1),(81,1),(117,1)}
         6:{1,4,6}:{(1,1),(14,1),(17,1),(18,1),(47,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(16,1),(18,1),(20,1),(46,1),(169,1)}
         9:{1,4,5}:{(2,1),(12,1),(19,1),(47,1),(89,1),(122,1),(143,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(156,1),(160,1)}
        11:{2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(37,1)}
        12:{1,4,6}:{(4,1),(9,1),(24,1),(26,1),(94,1),(110,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(61,1),(63,1),(98,1)}
        14:{1,3,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(94,1)}
        15:{2,3,5}:{(5,1),(7,1),(29,1),(31,1),(35,1),(71,1),(99,1),(132,1)}
        16:{2,3,7}:{(5,1),(8,1),(30,1),(61,1),(95,1),(100,1),(171,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(30,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(24,1),(31,1),(33,1),(35,1),(64,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(162,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(26,1),(36,1),(38,1),(63,1),(67,1),(105,1),(107,1),(148,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{1,5,6}:{(11,1),(17,1),(39,1),(40,1),(54,1)}
        24:{2,4,6}:{(11,1),(12,1),(19,1),(39,1),(41,1),(42,1),(76,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(42,1),(43,1)}
        26:{1,4,7}:{(12,1),(13,1),(42,1),(111,1),(114,1)}
        27:{1,3,6,7}:{(13,1),(22,1),(43,1),(44,1),(79,1),(156,1)}
        28:{2,6}:{(14,1),(45,1),(46,1)}
        29:{1,3,5}:{(14,1),(15,1),(17,1),(45,1),(47,1),(81,1),(89,1),(115,1)}
        30:{1,3,7}:{(14,1),(16,1),(18,1),(46,1),(111,1),(173,1)}
        31:{2,4}:{(15,1),(47,1),(49,1),(143,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(20,1),(48,1),(50,1),(51,1),(55,1),(88,1),(90,1),(116,1),(142,1)}
        33:{1,4,5}:{(17,1),(19,1),(39,1),(47,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(167,1),(170,1)}
        35:{3,5}:{(19,1),(41,1),(49,1),(81,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(50,1),(53,1),(55,1),(56,1),(80,1),(82,1),(88,1),(90,1),(114,1),(118,1),(122,1),(139,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{1,4,6}:{(23,1),(24,1),(33,1),(58,1),(59,1)}
        40:{1,5,7}:{(23,1),(25,1),(59,1),(60,1)}
        41:{3,6}:{(24,1),(35,1),(61,1)}
        42:{2,4,7}:{(24,1),(25,1),(26,1),(59,1),(61,1),(95,1)}
        43:{2,6,7}:{(25,1),(27,1),(37,1),(60,1),(162,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(38,1),(62,1),(63,1),(126,1),(148,1)}
        45:{2,5}:{(28,1),(29,1),(64,1),(129,1)}
        46:{2,7}:{(28,1),(30,1),(174,1)}
        47:{1,4}:{(29,1),(31,1),(64,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(34,1),(65,1),(67,1),(68,1),(100,1),(105,1),(107,1),(130,1),(132,1),(151,1)}
        49:{3,4}:{(31,1),(35,1)}
        50:{2,4,7}:{(31,1),(32,1),(67,1),(69,1),(70,1),(152,1)}
        51:{2,3,6}:{(32,1),(37,1),(68,1),(70,1),(74,1),(108,1)}
        52:{1,3,5}:{(33,1),(35,1),(58,1),(66,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(59,1),(67,1),(72,1),(73,1),(97,1),(105,1),(128,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(61,1),(69,1),(74,1),(100,1),(106,1),(132,1),(149,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(63,1),(75,1),(105,1)}
        58:{1,3,6}:{(39,1),(41,1),(52,1),(76,1),(77,1)}
        59:{1,4,7}:{(39,1),(40,1),(42,1),(77,1)}
        60:{1,6,7}:{(40,1),(43,1),(54,1),(167,1)}
        61:{3,7}:{(41,1),(42,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(44,1),(56,1),(78,1),(79,1),(80,1),(112,1),(114,1),(139,1)}
        63:{1,5,7}:{(44,1),(57,1),(80,1)}
        64:{2,4}:{(45,1),(47,1),(81,1)}
        65:{2,5,7}:{(45,1),(46,1),(48,1),(82,1),(83,1),(118,1),(140,1),(157,1)}
        66:{1,3,4}:{(47,1),(49,1),(52,1),(81,1),(84,1),(115,1)}
        67:{1,4,7}:{(47,1),(48,1),(50,1),(82,1),(86,1),(143,1),(158,1)}
        68:{1,3,6}:{(48,1),(51,1),(54,1),(83,1),(86,1),(117,1),(123,1)}
        69:{3,4,7}:{(49,1),(50,1),(55,1),(87,1),(114,1),(143,1),(159,1)}
        70:{2,4,6}:{(50,1),(51,1),(86,1),(87,1),(88,1)}
        71:{2,5}:{(52,1),(76,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(77,1),(85,1),(90,1),(91,1),(121,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(80,1),(88,1),(92,1),(93,1),(118,1)}
        76:{2,6}:{(58,1),(71,1),(94,1),(95,1)}
        77:{1,3,7}:{(58,1),(59,1),(61,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(62,1),(73,1),(96,1),(97,1),(128,1)}
        79:{3,6,7}:{(61,1),(62,1),(74,1),(98,1),(149,1)}
        80:{2,5,7}:{(62,1),(63,1),(75,1),(97,1),(98,1)}
        81:{3}:{(64,1)}
        82:{2,4,7}:{(64,1),(65,1),(67,1),(100,1),(101,1),(163,1)}
        83:{2,6}:{(65,1),(68,1)}
        84:{2,4}:{(66,1),(71,1),(99,1),(102,1),(129,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(69,1),(72,1),(100,1),(103,1),(104,1),(128,1),(130,1),(149,1)}
        86:{1,4,6}:{(67,1),(68,1),(70,1),(101,1),(105,1)}
        87:{3,4,6}:{(69,1),(70,1),(74,1),(106,1),(110,1)}
        88:{2,5}:{(70,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(94,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(95,1),(103,1),(107,1),(108,1),(134,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(97,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(98,1),(106,1),(110,1),(132,1)}
        94:{1,6}:{(76,1),(89,1),(111,1)}
        95:{2,7}:{(76,1),(77,1),(111,1)}
        96:{1,3,6,7}:{(77,1),(78,1),(79,1),(91,1),(112,1),(113,1)}
        97:{1,5,7}:{(78,1),(80,1),(92,1)}
        98:{3,5,7}:{(79,1),(80,1),(93,1),(114,1)}
        99:{2,3}:{(81,1),(84,1),(115,1)}
       100:{3,7}:{(81,1),(82,1),(117,1),(168,1)}
       101:{2,4,6}:{(82,1),(83,1),(86,1),(117,1),(118,1),(143,1)}
       102:{1,4}:{(84,1),(89,1),(115,1)}
       103:{2,4,7}:{(84,1),(85,1),(90,1),(116,1),(119,1),(120,1),(140,1)}
       104:{1,3,4,6}:{(85,1),(86,1),(87,1),(91,1),(117,1),(120,1),(121,1),(125,1),(141,1),(143,1),(147,1),(158,1),(159,1),(168,1)}
       105:{1,5}:{(86,1),(88,1),(118,1)}
       106:{3,5}:{(87,1),(88,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(111,1),(119,1),(123,1),(144,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(113,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(114,1),(122,1),(143,1)}
       111:{1,7}:{(94,1),(95,1)}
       112:{2,6,7}:{(95,1),(96,1),(108,1),(126,1),(127,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(98,1),(109,1),(127,1),(128,1),(149,1)}
       114:{4,7}:{(98,1),(110,1)}
       115:{1,3}:{(99,1),(102,1),(129,1)}
       116:{2,3,7}:{(99,1),(100,1),(103,1),(130,1),(131,1),(149,1),(162,1)}
       117:{3,6}:{(100,1),(101,1),(132,1)}
       118:{2,5}:{(101,1),(105,1),(132,1)}
       119:{1,4,7}:{(102,1),(103,1),(107,1),(130,1),(133,1)}
       120:{2,4,6}:{(103,1),(104,1),(108,1),(131,1),(133,1),(134,1),(150,1),(152,1),(163,1)}
       121:{1,3,5}:{(104,1),(105,1),(106,1),(132,1),(134,1),(135,1),(154,1)}
       122:{4,5}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(127,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(128,1),(135,1),(137,1),(166,1)}
       126:{1,6,7}:{(111,1),(112,1),(123,1),(138,1)}
       127:{2,5,7}:{(112,1),(113,1),(124,1),(138,1),(139,1)}
       128:{1,4,7}:{(113,1),(114,1),(125,1),(139,1),(167,1)}
       129:{2}:{(115,1)}
       130:{1,3,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(167,1)}
       131:{2,3,6}:{(116,1),(117,1),(120,1),(141,1),(142,1),(147,1),(161,1),(168,1)}
       132:{3,5}:{(117,1),(118,1),(143,1)}
       133:{1,4,6}:{(119,1),(120,1),(123,1),(141,1),(144,1),(158,1)}
       134:{2,5}:{(120,1),(121,1),(144,1)}
       135:{1,4,5}:{(121,1),(122,1),(125,1),(143,1),(145,1),(158,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(138,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(139,1),(145,1),(146,1),(147,1),(161,1)}
       138:{1,5,7}:{(126,1),(127,1),(136,1),(148,1)}
       139:{2,4,7}:{(127,1),(128,1),(137,1),(148,1),(149,1),(162,1)}
       140:{2,7}:{(129,1),(130,1),(150,1)}
       141:{1,3,6}:{(130,1),(131,1),(133,1),(150,1),(151,1),(166,1)}
       142:{2,3,5}:{(131,1),(132,1),(134,1),(151,1),(152,1),(154,1),(165,1),(171,1)}
       143:{4}:{(132,1)}
       144:{1,5}:{(133,1),(134,1)}
       145:{2,4,5}:{(134,1),(135,1),(137,1),(152,1),(153,1),(154,1),(163,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(148,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(149,1),(154,1)}
       148:{1,4,7}:{(138,1),(139,1),(146,1),(156,1)}
       149:{3,7}:{(139,1),(147,1)}
       150:{2,6}:{(140,1),(141,1),(157,1)}
       151:{1,3,5}:{(141,1),(142,1),(144,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       152:{2,4}:{(142,1),(143,1),(158,1),(159,1)}
       153:{1,4,5}:{(144,1),(145,1),(146,1),(158,1),(160,1)}
       154:{3,5}:{(145,1),(147,1),(159,1),(168,1)}
       155:{1,3,6}:{(146,1),(147,1),(156,1),(160,1),(161,1)}
       156:{1,3,7}:{(148,1),(149,1),(155,1),(162,1)}
       157:{2,5}:{(150,1),(151,1),(163,1),(174,1)}
       158:{1,4}:{(151,1),(152,1),(163,1)}
       159:{3,4}:{(152,1),(154,1)}
       160:{1,3,5}:{(153,1),(154,1),(155,1),(164,1),(165,1)}
       161:{2,6}:{(155,1),(162,1),(165,1),(166,1)}
       162:{2,7}:{(156,1),(161,1),(167,1)}
       163:{2,4}:{(157,1),(158,1),(168,1)}
       164:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       165:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       166:{1,6}:{(161,1),(167,1),(170,1)}
       167:{1,7}:{(162,1),(166,1)}
       168:{3}:{(163,1)}
       169:{2,4}:{(164,1),(165,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(165,1),(166,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 476 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(25,1),(66,1),(136,1),(155,1),(169,1),(231,1),(237,1),(271,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(37,1),(47,1),(88,1),(110,1),(117,1),(190,1),(218,1),(225,1),(226,1),(298,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(288,1),(295,1),(332,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(30,1),(107,1),(191,1),(210,1),(291,1),(299,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(15,1),(25,1),(61,1),(82,1),(136,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(16,1),(61,1),(82,1),(175,1),(230,1),(257,1),(349,1),(467,1),(519,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(74,1),(78,1),(251,1),(284,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(76,1),(278,1),(285,1),(357,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(55,1),(69,1),(137,1),(161,1),(170,1),(252,1),(362,1)}
         9:{2,4,5}:{(2,1),(12,1),(21,1),(23,1),(155,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(348,1),(358,1)}
        11:{1,3,5,6}:{(4,1),(7,1),(26,1),(27,1),(28,1),(47,1),(88,1),(100,1),(124,1),(190,1),(229,1)}
        12:{2,4,6}:{(4,1),(9,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(35,1),(95,1),(101,1),(191,1)}
        14:{1,4,5,6}:{(5,1),(27,1),(32,1),(33,1),(34,1),(100,1),(124,1),(178,1),(198,1),(297,1),(426,1)}
        15:{3,5,6}:{(5,1),(29,1),(35,1),(288,1),(318,1),(403,1)}
        16:{2,4,5,7}:{(5,1),(30,1),(34,1),(35,1),(36,1),(95,1),(101,1),(195,1),(319,1),(428,1),(497,1)}
        17:{1,2,4,6}:{(6,1),(37,1),(38,1),(39,1),(105,1),(110,1),(113,1),(218,1),(298,1),(301,1),(338,1)}
        18:{2,3,6}:{(6,1),(37,1),(41,1),(42,1),(88,1),(342,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(312,1)}
        21:{1,4,5}:{(7,1),(9,1),(27,1),(43,1),(110,1),(343,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(121,1),(413,1)}
        23:{3,4,5}:{(9,1),(29,1),(209,1),(288,1),(534,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(30,1),(46,1),(48,1),(49,1),(95,1),(210,1),(332,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(403,1),(414,1)}
        26:{2,5,6}:{(11,1),(19,1),(52,1),(53,1),(78,1),(251,1)}
        27:{1,4,6}:{(11,1),(12,1),(21,1),(52,1),(55,1),(286,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(53,1),(55,1),(56,1),(137,1),(141,1),(150,1),(252,1),(253,1)}
        29:{3,4,6}:{(12,1),(15,1),(23,1),(57,1),(519,1)}
        30:{2,4,7}:{(12,1),(13,1),(55,1),(57,1)}
        31:{2,3,6,7}:{(13,1),(25,1),(56,1),(58,1),(64,1),(151,1)}
        32:{2,4,5,6}:{(14,1),(52,1),(59,1),(60,1),(61,1),(132,1),(144,1),(174,1),(246,1),(286,1),(376,1),(377,1)}
        33:{1,3,5,6}:{(14,1),(15,1),(54,1),(59,1),(61,1),(62,1),(235,1),(359,1)}
        34:{1,4,5,7}:{(14,1),(16,1),(55,1),(60,1),(62,1),(63,1),(141,1),(150,1),(258,1),(380,1)}
        35:{3,5,7}:{(15,1),(16,1),(57,1),(64,1),(378,1)}
        36:{2,4,6,7}:{(16,1),(63,1),(64,1),(65,1),(151,1),(152,1),(349,1)}
        37:{1,3,6}:{(17,1),(18,1),(66,1),(68,1),(69,1),(392,1)}
        38:{1,2,5}:{(17,1),(19,1),(68,1),(153,1),(278,1),(357,1)}
        39:{1,2,4,7}:{(17,1),(20,1),(69,1),(71,1),(154,1),(161,1),(362,1),(363,1)}
        40:{2,3,4,6}:{(18,1),(67,1),(72,1),(73,1),(74,1),(133,1),(164,1),(168,1),(171,1),(237,1),(269,1),(381,1)}
        41:{2,3,5}:{(18,1),(19,1),(68,1),(74,1),(76,1)}
        42:{2,3,7}:{(18,1),(20,1),(69,1),(137,1)}
        43:{2,4,5}:{(19,1),(21,1),(52,1),(74,1),(76,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(78,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(54,1),(76,1),(79,1),(143,1),(160,1),(172,1),(235,1),(254,1),(373,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(55,1),(77,1),(80,1),(141,1),(161,1),(278,1)}
        47:{1,3,6}:{(22,1),(25,1),(78,1),(80,1),(173,1),(459,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(57,1),(81,1),(142,1),(270,1),(348,1),(388,1),(454,1)}
        49:{2,4,6}:{(24,1),(25,1),(80,1),(81,1),(82,1)}
        50:{1,2,5,6}:{(26,1),(38,1),(83,1),(84,1),(85,1),(100,1),(113,1),(201,1),(206,1),(295,1),(301,1),(408,1),(412,1),(414,1),(480,1),(492,1)}
        51:{2,3,5,6}:{(26,1),(41,1),(83,1),(86,1),(87,1),(88,1),(119,1),(182,1),(185,1),(227,1),(229,1),(295,1),(307,1),(308,1),(414,1),(480,1),(484,1),(520,1),(531,1),(546,1),(547,1)}
        52:{2,4,6}:{(26,1),(27,1),(43,1),(88,1),(89,1)}
        53:{2,5,7}:{(26,1),(28,1),(89,1),(90,1),(312,1)}
        54:{1,3,4,6}:{(27,1),(29,1),(33,1),(45,1),(88,1),(91,1),(92,1),(96,1),(190,1),(198,1),(318,1)}
        55:{1,4,7}:{(27,1),(28,1),(30,1),(89,1),(313,1)}
        56:{1,3,6,7}:{(28,1),(31,1),(47,1),(90,1),(93,1),(192,1),(205,1)}
        57:{3,4,7}:{(29,1),(30,1),(35,1),(497,1)}
        58:{2,4,6,7}:{(30,1),(31,1),(49,1),(93,1),(94,1),(95,1)}
        59:{3,5,6}:{(32,1),(88,1),(96,1),(98,1),(185,1),(307,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(89,1),(98,1),(99,1),(101,1),(193,1),(199,1),(313,1),(321,1),(322,1)}
        61:{2,5,6}:{(33,1),(91,1),(100,1),(101,1),(295,1),(414,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(35,1),(92,1),(98,1),(101,1),(102,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(99,1),(102,1),(103,1),(205,1),(297,1)}
        64:{3,6,7}:{(35,1),(36,1),(403,1)}
        65:{2,5,6,7}:{(36,1),(95,1),(103,1),(104,1),(404,1),(428,1)}
        66:{2,3,6}:{(37,1),(105,1),(106,1),(107,1),(324,1),(435,1)}
        67:{1,3,4,6}:{(37,1),(40,1),(105,1),(108,1),(109,1),(110,1),(209,1),(212,1),(216,1),(218,1),(298,1),(324,1),(330,1),(331,1),(429,1)}
        68:{1,3,5}:{(37,1),(38,1),(41,1),(106,1),(110,1)}
        69:{1,3,7}:{(37,1),(39,1),(42,1),(107,1)}
        70:{1,2,4,5}:{(38,1),(43,1),(84,1),(110,1),(112,1),(123,1),(178,1),(207,1),(217,1),(228,1),(295,1),(314,1),(336,1),(338,1),(412,1),(433,1),(476,1),(490,1)}
        71:{1,2,5,7}:{(38,1),(39,1),(44,1),(111,1),(113,1),(208,1),(413,1)}
        72:{2,3,5}:{(40,1),(108,1),(115,1),(185,1),(227,1),(295,1)}
        73:{2,3,4,7}:{(40,1),(42,1),(109,1),(116,1),(118,1),(188,1),(221,1),(299,1),(430,1)}
        74:{2,4}:{(41,1),(110,1),(117,1)}
        75:{2,3,5,7}:{(41,1),(42,1),(44,1),(111,1),(118,1),(119,1),(121,1),(227,1)}
        76:{3,5}:{(43,1),(88,1),(117,1)}
        77:{2,4,5,7}:{(43,1),(44,1),(46,1),(89,1),(118,1),(121,1),(122,1),(193,1),(227,1),(313,1),(343,1)}
        78:{2,6}:{(44,1),(47,1)}
        79:{2,4,5}:{(45,1),(91,1),(120,1),(123,1),(217,1),(228,1),(295,1)}
        80:{1,4,6}:{(46,1),(47,1),(49,1),(122,1),(124,1)}
        81:{3,4,6}:{(48,1),(49,1),(125,1),(403,1),(487,1)}
        82:{2,5,6}:{(49,1),(95,1),(124,1),(125,1),(332,1)}
        83:{1,3,5,6}:{(50,1),(51,1),(68,1),(126,1),(127,1),(128,1),(129,1),(162,1),(235,1),(240,1),(278,1),(357,1),(359,1),(360,1),(457,1),(459,1),(516,1),(542,1)}
        84:{1,2,4,6}:{(50,1),(52,1),(70,1),(127,1),(129,1),(130,1),(139,1),(237,1),(251,1),(257,1),(264,1),(389,1),(469,1),(500,1)}
        85:{1,2,5,7}:{(50,1),(53,1),(128,1),(130,1),(131,1),(150,1),(261,1),(265,1),(358,1),(363,1),(455,1),(509,1)}
        86:{2,4,6}:{(51,1),(74,1),(127,1),(132,1),(133,1),(134,1),(286,1),(512,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(53,1),(128,1),(134,1),(135,1),(137,1),(241,1),(245,1),(250,1),(253,1),(358,1),(509,1),(535,1),(548,1)}
        88:{3,6}:{(52,1),(76,1),(137,1)}
        89:{2,4,7}:{(52,1),(53,1),(55,1),(137,1)}
        90:{2,6,7}:{(53,1),(56,1),(78,1)}
        91:{2,4,6}:{(54,1),(61,1),(79,1),(136,1),(139,1),(140,1),(251,1)}
        92:{1,3,4,7}:{(54,1),(55,1),(57,1),(62,1),(137,1),(140,1),(145,1),(252,1),(258,1),(378,1)}
        93:{1,4,6,7}:{(55,1),(56,1),(58,1),(80,1),(138,1),(141,1)}
        94:{3,4,6,7}:{(57,1),(58,1),(64,1),(81,1),(142,1),(152,1)}
        95:{2,5,7}:{(58,1),(82,1),(141,1),(142,1)}
        96:{3,4,6}:{(59,1),(143,1),(144,1),(145,1),(286,1)}
        97:{2,3,5,6}:{(59,1),(61,1),(136,1),(144,1),(146,1),(147,1),(244,1),(368,1),(376,1)}
        98:{3,5,7}:{(59,1),(60,1),(137,1),(145,1),(148,1)}
        99:{2,4,6,7}:{(60,1),(63,1),(148,1),(149,1),(151,1),(246,1),(263,1)}
       100:{1,5,6}:{(61,1),(139,1),(150,1),(357,1),(459,1)}
       101:{2,5,7}:{(61,1),(62,1),(140,1),(150,1),(151,1)}
       102:{1,3,6,7}:{(62,1),(63,1),(64,1),(148,1),(151,1),(359,1)}
       103:{1,5,6,7}:{(63,1),(65,1),(141,1),(149,1),(360,1),(380,1)}
       104:{3,5,6,7}:{(64,1),(65,1),(142,1),(152,1),(451,1),(468,1)}
       105:{2,4,6}:{(66,1),(67,1),(153,1),(154,1),(155,1),(268,1),(387,1),(469,1)}
       106:{2,3,5}:{(66,1),(68,1),(153,1),(155,1),(266,1)}
       107:{2,3,7}:{(66,1),(69,1),(154,1),(382,1)}
       108:{1,3,5}:{(67,1),(72,1),(153,1),(158,1),(266,1),(278,1),(357,1),(388,1)}
       109:{1,3,4,7}:{(67,1),(69,1),(73,1),(154,1),(159,1),(161,1),(270,1),(273,1),(362,1),(382,1),(470,1)}
       110:{1,4}:{(68,1),(74,1),(155,1)}
       111:{1,3,5,7}:{(68,1),(69,1),(71,1),(75,1),(156,1),(161,1),(162,1),(278,1)}
       112:{1,3,5}:{(70,1),(76,1),(129,1),(160,1),(163,1),(266,1),(373,1),(392,1),(504,1)}
       113:{1,2,6}:{(71,1),(78,1),(162,1),(268,1),(459,1)}
       114:{2,3,5,6}:{(72,1),(157,1),(164,1),(165,1),(168,1),(242,1),(283,1),(354,1),(381,1)}
       115:{2,4,5}:{(72,1),(74,1),(158,1),(164,1),(166,1)}
       116:{2,3,5,7}:{(72,1),(73,1),(159,1),(167,1),(168,1),(245,1),(358,1)}
       117:{3,4}:{(74,1),(76,1)}
       118:{2,4,7}:{(74,1),(75,1),(161,1),(170,1),(171,1)}
       119:{2,3,6}:{(75,1),(78,1),(162,1),(171,1),(173,1)}
       120:{2,3,5}:{(76,1),(79,1),(136,1),(169,1),(172,1),(373,1)}
       121:{3,5,7}:{(76,1),(77,1),(137,1),(170,1),(173,1),(285,1)}
       122:{2,4,6}:{(77,1),(78,1),(80,1),(173,1),(174,1),(286,1)}
       123:{1,4,5}:{(79,1),(139,1),(172,1),(277,1),(357,1)}
       124:{1,5,6}:{(80,1),(82,1),(141,1),(174,1),(278,1)}
       125:{3,5,6}:{(81,1),(82,1),(142,1),(175,1),(388,1)}
       126:{2,3,5,6}:{(83,1),(106,1),(176,1),(177,1),(182,1),(201,1),(206,1),(211,1),(288,1),(295,1),(318,1),(324,1),(332,1),(403,1),(404,1),(414,1),(418,1),(434,1),(494,1),(496,1),(533,1)}
       127:{1,4,6}:{(83,1),(86,1),(110,1),(176,1),(178,1),(180,1),(490,1)}
       128:{1,3,5,7}:{(83,1),(85,1),(87,1),(177,1),(180,1),(181,1),(183,1),(300,1),(302,1),(413,1)}
       129:{1,3,6}:{(84,1),(88,1),(112,1),(182,1),(183,1),(318,1),(324,1),(520,1)}
       130:{1,2,4,7}:{(84,1),(85,1),(89,1),(180,1),(183,1),(194,1),(299,1),(312,1),(319,1),(325,1),(437,1),(498,1),(521,1)}
       131:{1,2,6,7}:{(85,1),(90,1),(113,1),(181,1),(205,1),(323,1),(326,1),(414,1),(489,1),(492,1),(529,1)}
       132:{2,4,5}:{(86,1),(178,1),(185,1),(227,1),(295,1),(343,1),(547,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(117,1),(185,1),(188,1),(307,1),(520,1),(525,1)}
       134:{2,4,7}:{(86,1),(87,1),(180,1),(188,1),(313,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(119,1),(181,1),(189,1),(192,1),(307,1),(414,1),(529,1),(531,1),(543,1)}
       136:{2,3,6}:{(88,1),(91,1),(120,1),(190,1),(191,1),(318,1)}
       137:{3,7}:{(88,1),(89,1)}
       138:{2,4,6,7}:{(89,1),(90,1),(93,1),(122,1),(192,1),(193,1),(313,1)}
       139:{1,4,6}:{(91,1),(100,1),(123,1),(190,1),(194,1)}
       140:{2,4,7}:{(91,1),(92,1),(101,1),(191,1),(194,1),(312,1)}
       141:{1,5,7}:{(93,1),(95,1),(124,1),(193,1)}
       142:{3,5,7}:{(94,1),(95,1),(125,1),(195,1)}
       143:{3,4,5}:{(96,1),(185,1),(196,1),(343,1),(525,1)}
       144:{2,4,6}:{(96,1),(97,1),(196,1),(198,1),(199,1)}
       145:{3,4,7}:{(96,1),(98,1),(199,1),(313,1)}
       146:{1,3,5,6}:{(97,1),(100,1),(190,1),(198,1),(201,1),(202,1),(305,1),(318,1),(420,1),(426,1),(496,1)}
       147:{2,3,5,7}:{(97,1),(98,1),(101,1),(191,1),(199,1),(202,1),(203,1),(321,1)}
       148:{3,6,7}:{(98,1),(99,1),(307,1)}
       149:{2,5,6,7}:{(99,1),(103,1),(193,1),(204,1),(308,1),(321,1)}
       150:{1,5,7}:{(100,1),(101,1),(194,1),(205,1)}
       151:{2,6,7}:{(101,1),(102,1),(205,1),(414,1)}
       152:{4,6,7}:{(104,1),(195,1),(487,1),(497,1)}
       153:{2,5}:{(105,1),(108,1)}
       154:{2,4,7}:{(105,1),(107,1),(109,1),(208,1),(498,1)}
       155:{2,4}:{(106,1),(110,1),(209,1)}
       156:{2,3,5,7}:{(106,1),(107,1),(111,1),(208,1),(210,1),(211,1),(328,1),(332,1)}
       157:{1,3,5,6}:{(108,1),(114,1),(206,1),(212,1),(213,1),(216,1),(324,1),(337,1),(408,1),(429,1),(434,1)}
       158:{1,4,5}:{(108,1),(110,1),(115,1),(207,1),(212,1),(436,1)}
       159:{1,3,5,7}:{(108,1),(109,1),(116,1),(208,1),(215,1),(216,1),(328,1),(413,1)}
       160:{1,3,4}:{(110,1),(112,1),(117,1),(209,1),(217,1),(423,1),(490,1),(525,1)}
       161:{1,4,7}:{(110,1),(111,1),(118,1),(210,1),(218,1)}
       162:{1,3,6}:{(111,1),(113,1),(119,1),(211,1),(218,1)}
       163:{2,3,5}:{(112,1),(182,1),(217,1),(219,1),(228,1),(295,1),(342,1),(433,1),(435,1)}
       164:{2,4,6}:{(114,1),(115,1),(212,1),(220,1),(221,1)}
       165:{2,3,5,7}:{(114,1),(213,1),(221,1),(222,1),(303,1),(340,1),(409,1),(430,1)}
       166:{3,4,5}:{(115,1),(117,1),(185,1),(220,1),(552,1)}
       167:{2,4,5,7}:{(115,1),(116,1),(118,1),(215,1),(221,1),(223,1),(224,1),(227,1),(340,1)}
       168:{2,3,6}:{(116,1),(216,1),(224,1),(307,1),(414,1)}
       169:{2,3,4}:{(117,1),(120,1),(217,1),(225,1),(423,1),(435,1)}
       170:{3,4,7}:{(117,1),(118,1),(121,1),(226,1),(313,1)}
       171:{2,4,6}:{(118,1),(119,1),(218,1),(226,1),(227,1)}
       172:{1,3,5}:{(120,1),(123,1),(190,1),(225,1),(228,1)}
       173:{3,6}:{(121,1),(122,1)}
       174:{2,5,6}:{(122,1),(124,1),(193,1),(227,1),(229,1)}
       175:{4,5,6}:{(125,1),(195,1),(436,1),(487,1)}
       176:{2,4,6}:{(126,1),(127,1),(155,1),(230,1),(231,1),(232,1),(462,1),(472,1),(519,1)}
       177:{2,3,5,7}:{(126,1),(128,1),(232,1),(233,1),(241,1),(261,1),(265,1),(348,1),(353,1),(358,1),(378,1),(382,1),(468,1),(471,1)}
       178:{1,4,5}:{(127,1),(132,1),(230,1),(235,1),(278,1),(357,1),(542,1)}
       179:{1,3,4,6}:{(127,1),(129,1),(133,1),(160,1),(231,1),(235,1),(237,1),(238,1),(359,1)}
       180:{1,4,7}:{(127,1),(128,1),(134,1),(232,1)}
       181:{1,3,6,7}:{(128,1),(131,1),(135,1),(162,1),(233,1),(239,1),(359,1),(459,1),(516,1)}
       182:{2,3,6}:{(129,1),(163,1),(237,1),(240,1),(241,1),(251,1),(469,1)}
       183:{1,3,7}:{(129,1),(130,1),(137,1),(241,1),(378,1),(382,1),(535,1)}
       184:{2,4,5,6}:{(132,1),(164,1),(234,1),(242,1),(243,1),(246,1),(283,1),(354,1),(394,1),(500,1),(540,1),(550,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(236,1),(245,1),(246,1),(250,1),(358,1),(372,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(144,1),(169,1),(237,1),(244,1),(247,1),(248,1),(368,1),(452,1),(512,1),(541,1)}
       188:{3,4,7}:{(133,1),(134,1),(137,1),(245,1),(535,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(171,1),(239,1),(246,1),(249,1),(250,1),(541,1)}
       190:{1,3,6}:{(136,1),(139,1),(172,1),(251,1),(252,1)}
       191:{2,3,7}:{(136,1),(137,1),(140,1),(252,1),(378,1)}
       192:{3,6,7}:{(137,1),(138,1),(173,1),(253,1)}
       193:{2,5,7}:{(138,1),(141,1),(174,1),(253,1)}
       194:{1,4,7}:{(139,1),(140,1),(150,1),(252,1)}
       195:{4,5,7}:{(142,1),(152,1),(175,1)}
       196:{2,4,5}:{(143,1),(144,1),(244,1),(254,1),(512,1)}
       197:{3,4,5,7}:{(143,1),(145,1),(245,1),(255,1),(256,1),(260,1),(372,1),(538,1),(549,1)}
       198:{1,4,6}:{(144,1),(146,1),(254,1),(257,1),(258,1),(519,1)}
       199:{2,4,7}:{(144,1),(145,1),(147,1),(258,1)}
       200:{3,4,6,7}:{(145,1),(148,1),(256,1),(259,1),(260,1),(263,1)}
       201:{2,5,6}:{(146,1),(251,1),(257,1),(261,1),(366,1),(464,1)}
       202:{1,3,5,7}:{(146,1),(147,1),(150,1),(252,1),(258,1),(261,1),(262,1),(378,1),(380,1),(468,1)}
       203:{2,3,6,7}:{(147,1),(148,1),(151,1),(259,1),(262,1),(368,1)}
       204:{3,5,6,7}:{(148,1),(149,1),(253,1),(260,1),(263,1),(369,1)}
       205:{1,6,7}:{(150,1),(151,1),(459,1)}
       206:{2,5,6}:{(153,1),(157,1),(264,1),(265,1),(268,1),(469,1)}
       207:{2,4,5}:{(153,1),(155,1),(158,1),(264,1),(266,1)}
       208:{2,5,7}:{(153,1),(154,1),(159,1),(268,1)}
       209:{3,4}:{(155,1),(266,1)}
       210:{2,4,7}:{(155,1),(156,1),(161,1),(270,1),(271,1)}
       211:{2,3,6}:{(156,1),(162,1),(268,1),(271,1),(385,1)}
       212:{1,4,6}:{(157,1),(158,1),(164,1),(264,1),(273,1),(472,1)}
       213:{1,3,5,7}:{(157,1),(165,1),(265,1),(273,1),(274,1),(382,1),(391,1),(455,1),(470,1),(471,1)}
       214:{1,3,4,5}:{(158,1),(160,1),(166,1),(235,1),(266,1),(272,1),(275,1),(344,1),(384,1),(441,1),(504,1)}
       215:{1,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(267,1),(273,1),(276,1),(278,1),(391,1)}
       216:{1,3,6}:{(159,1),(168,1),(268,1),(276,1),(385,1),(459,1)}
       217:{2,4}:{(160,1),(163,1),(277,1)}
       218:{1,4,6}:{(161,1),(162,1),(171,1),(271,1),(278,1)}
       219:{1,3,5}:{(163,1),(240,1),(277,1),(279,1),(357,1),(392,1)}
       220:{3,4,6}:{(164,1),(166,1),(242,1),(280,1),(550,1)}
       221:{2,4,7}:{(164,1),(165,1),(273,1),(280,1)}
       222:{2,3,6,7}:{(165,1),(168,1),(274,1),(281,1),(364,1),(456,1)}
       223:{3,4,5,7}:{(166,1),(167,1),(170,1),(245,1),(280,1),(282,1),(285,1),(372,1),(393,1)}
       224:{2,4,6}:{(167,1),(168,1),(276,1),(282,1),(283,1)}
       225:{1,3,4}:{(169,1),(172,1),(277,1),(284,1),(392,1)}
       226:{3,4,6}:{(170,1),(171,1),(173,1),(285,1),(286,1)}
       227:{2,5}:{(171,1),(278,1),(285,1)}
       228:{2,5}:{(172,1),(251,1),(284,1)}
       229:{3,5,6}:{(173,1),(174,1),(253,1),(285,1),(286,1)}
       230:{2,4,5}:{(176,1),(178,1),(288,1),(295,1),(332,1),(436,1),(533,1),(534,1)}
       231:{3,4,6}:{(176,1),(209,1),(288,1),(291,1),(318,1),(324,1),(403,1),(423,1)}
       232:{2,4,7}:{(176,1),(177,1),(180,1),(291,1),(497,1),(499,1)}
       233:{2,3,6,7}:{(177,1),(181,1),(211,1),(292,1),(323,1),(326,1),(403,1),(414,1),(427,1),(431,1),(494,1)}
       234:{1,4,5,6}:{(178,1),(184,1),(212,1),(287,1),(293,1),(294,1),(297,1),(337,1),(408,1),(473,1),(528,1)}
       235:{1,3,5}:{(178,1),(179,1),(185,1),(288,1),(295,1)}
       236:{1,4,5,7}:{(178,1),(180,1),(186,1),(289,1),(296,1),(297,1),(300,1),(413,1)}
       237:{2,4,6}:{(179,1),(182,1),(217,1),(295,1),(298,1),(299,1),(414,1)}
       238:{1,3,4,7}:{(179,1),(180,1),(183,1),(188,1),(291,1),(296,1),(299,1)}
       239:{1,4,6,7}:{(180,1),(181,1),(189,1),(218,1),(292,1),(297,1),(300,1),(532,1)}
       240:{1,3,6}:{(182,1),(219,1),(298,1),(301,1),(302,1)}
       241:{2,3,7}:{(182,1),(183,1),(299,1),(302,1),(312,1),(498,1)}
       242:{3,5,6}:{(184,1),(185,1),(220,1),(303,1),(307,1),(520,1)}
       243:{2,4,5,7}:{(184,1),(221,1),(294,1),(303,1),(304,1),(340,1),(409,1),(438,1),(521,1),(544,1),(551,1)}
       244:{2,3,5}:{(185,1),(187,1),(196,1),(295,1),(305,1),(547,1)}
       245:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       246:{2,4,6}:{(186,1),(297,1),(307,1),(308,1),(414,1),(421,1)}
       247:{1,3,4,6}:{(187,1),(190,1),(198,1),(225,1),(298,1),(305,1),(309,1),(310,1),(318,1),(415,1),(420,1),(423,1),(490,1),(495,1),(532,1)}
       248:{2,3,4,7}:{(187,1),(188,1),(191,1),(199,1),(299,1),(306,1),(310,1),(488,1),(530,1)}
       249:{3,4,6,7}:{(188,1),(189,1),(192,1),(226,1),(307,1),(311,1),(313,1),(421,1),(543,1),(545,1),(551,1)}
       250:{2,5,7}:{(189,1),(227,1),(300,1),(308,1),(311,1),(547,1)}
       251:{2,6}:{(190,1),(228,1),(312,1)}
       252:{1,3,7}:{(190,1),(191,1),(194,1),(312,1)}
       253:{3,5,7}:{(192,1),(193,1),(229,1),(313,1)}
       254:{1,4,5}:{(196,1),(198,1),(305,1),(314,1),(490,1),(534,1)}
       255:{2,4,5,7}:{(196,1),(197,1),(199,1),(306,1),(315,1),(316,1),(321,1),(530,1),(547,1)}
       256:{3,4,6}:{(197,1),(307,1),(316,1),(317,1),(421,1)}
       257:{2,4,6}:{(198,1),(201,1),(314,1),(318,1),(319,1)}
       258:{1,4,7}:{(198,1),(199,1),(202,1),(319,1),(497,1)}
       259:{2,4,6,7}:{(199,1),(200,1),(203,1),(316,1),(320,1),(321,1)}
       260:{3,5,7}:{(200,1),(317,1),(321,1),(322,1)}
       261:{2,5,7}:{(201,1),(202,1),(312,1),(319,1),(323,1)}
       262:{1,3,6,7}:{(202,1),(203,1),(205,1),(320,1),(323,1),(420,1),(427,1)}
       263:{4,6,7}:{(204,1),(313,1),(322,1),(421,1)}
       264:{2,4,6}:{(206,1),(207,1),(212,1),(324,1),(325,1)}
       265:{2,5,7}:{(206,1),(213,1),(325,1),(326,1),(498,1)}
       266:{3,5}:{(207,1),(209,1),(324,1)}
       267:{2,4,5,7}:{(207,1),(208,1),(210,1),(215,1),(325,1),(328,1),(329,1),(332,1),(432,1),(436,1),(499,1)}
       268:{2,6}:{(208,1),(216,1)}
       269:{2,3,4}:{(209,1),(217,1),(327,1),(330,1),(342,1),(525,1)}
       270:{3,4,7}:{(209,1),(210,1),(328,1),(331,1),(499,1)}
       271:{2,4,6}:{(210,1),(211,1),(218,1),(331,1),(332,1)}
       272:{1,3,4,6}:{(212,1),(214,1),(220,1),(293,1),(324,1),(333,1),(334,1),(395,1),(429,1),(473,1),(520,1)}
       273:{1,4,7}:{(212,1),(213,1),(221,1),(325,1),(499,1)}
       274:{1,3,6,7}:{(213,1),(216,1),(222,1),(326,1),(335,1),(431,1),(489,1)}
       275:{2,4,5}:{(214,1),(217,1),(295,1),(327,1),(333,1),(336,1),(433,1)}
       276:{1,4,6}:{(215,1),(216,1),(224,1),(329,1),(337,1)}
       277:{1,4}:{(217,1),(219,1)}
       278:{1,5}:{(218,1),(227,1),(332,1)}
       279:{1,2,5}:{(219,1),(228,1),(301,1),(338,1),(433,1)}
       280:{3,4,7}:{(220,1),(221,1),(303,1),(551,1)}
       281:{2,4,6,7}:{(221,1),(222,1),(224,1),(335,1),(339,1),(340,1)}
       282:{3,4,6}:{(223,1),(224,1),(307,1),(341,1),(421,1)}
       283:{2,5,6}:{(224,1),(227,1),(337,1),(340,1),(341,1)}
       284:{2,4}:{(225,1),(228,1),(342,1)}
       285:{3,5}:{(226,1),(227,1),(343,1)}
       286:{4,6}:{(229,1),(313,1),(343,1)}
       287:{2,4,5,6}:{(230,1),(234,1),(264,1),(345,1),(346,1),(349,1),(354,1),(386,1),(439,1),(472,1),(507,1),(508,1)}
       288:{3,5}:{(230,1),(231,1)}
       289:{2,4,5,7}:{(230,1),(232,1),(236,1),(348,1),(349,1),(353,1),(358,1),(454,1)}
       290:{2,3,4,6}:{(231,1),(237,1),(269,1),(347,1),(350,1),(351,1),(370,1),(381,1),(439,1),(450,1),(462,1),(517,1)}
       291:{3,4,7}:{(231,1),(232,1),(348,1),(378,1),(382,1)}
       292:{2,4,6,7}:{(232,1),(233,1),(239,1),(271,1),(349,1),(352,1),(353,1),(517,1)}
       293:{1,3,5,6}:{(234,1),(235,1),(242,1),(272,1),(345,1),(354,1),(355,1),(359,1)}
       294:{1,4,5,7}:{(234,1),(243,1),(273,1),(346,1),(355,1),(356,1),(391,1),(455,1),(501,1),(537,1)}
       295:{2,5}:{(235,1),(237,1),(357,1)}
       296:{1,3,5,7}:{(235,1),(236,1),(238,1),(245,1),(348,1),(358,1),(359,1)}
       297:{1,4,6}:{(236,1),(246,1),(349,1),(359,1),(360,1),(459,1)}
       298:{1,4,6}:{(237,1),(240,1),(277,1),(357,1),(362,1),(459,1)}
       299:{2,4,7}:{(237,1),(238,1),(241,1),(358,1),(362,1)}
       300:{1,5,7}:{(239,1),(250,1),(278,1),(353,1),(360,1),(542,1)}
       301:{1,2,6}:{(240,1),(251,1),(279,1),(363,1),(469,1)}
       302:{1,3,7}:{(240,1),(241,1),(362,1),(363,1)}
       303:{3,5,7}:{(242,1),(243,1),(280,1),(364,1),(535,1)}
       304:{2,4,6,7}:{(243,1),(246,1),(356,1),(364,1),(365,1),(456,1),(461,1)}
       305:{1,3,5}:{(244,1),(247,1),(254,1),(357,1),(366,1),(373,1),(518,1),(542,1)}
       306:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(358,1),(367,1),(368,1)}
       307:{3,6}:{(245,1),(246,1)}
       308:{2,5,6}:{(246,1),(250,1),(360,1),(369,1)}
       309:{2,4,6}:{(247,1),(251,1),(284,1),(366,1),(370,1),(371,1),(462,1),(464,1)}
       310:{1,3,4,7}:{(247,1),(248,1),(252,1),(258,1),(362,1),(367,1),(371,1),(378,1),(460,1),(465,1),(515,1)}
       311:{3,5,7}:{(249,1),(250,1),(285,1),(369,1),(372,1),(549,1)}
       312:{2,7}:{(251,1),(252,1)}
       313:{4,7}:{(253,1),(286,1)}
       314:{2,4,5}:{(254,1),(257,1),(366,1),(373,1),(462,1)}
       315:{1,4,5,7}:{(254,1),(255,1),(258,1),(367,1),(374,1),(375,1),(380,1),(515,1),(542,1)}
       316:{2,4,6}:{(255,1),(256,1),(368,1),(375,1),(376,1)}
       317:{3,5,6}:{(256,1),(260,1),(376,1),(377,1),(549,1)}
       318:{3,6}:{(257,1),(373,1),(378,1)}
       319:{2,4,7}:{(257,1),(258,1),(261,1),(378,1)}
       320:{1,4,6,7}:{(258,1),(259,1),(262,1),(375,1),(379,1),(380,1)}
       321:{2,5,7}:{(259,1),(260,1),(376,1),(380,1)}
       322:{4,5,7}:{(260,1),(263,1),(377,1)}
       323:{2,6,7}:{(261,1),(262,1),(464,1)}
       324:{3,6}:{(264,1),(266,1),(382,1)}
       325:{2,4,7}:{(264,1),(265,1),(273,1),(382,1)}
       326:{2,6,7}:{(265,1),(268,1),(274,1)}
       327:{2,3,5}:{(266,1),(269,1),(275,1),(381,1),(384,1),(504,1)}
       328:{3,5,7}:{(266,1),(267,1),(270,1),(382,1),(385,1),(388,1)}
       329:{2,4,6}:{(267,1),(268,1),(276,1),(385,1),(386,1),(472,1)}
       330:{1,3,4}:{(269,1),(277,1),(384,1),(387,1),(392,1)}
       331:{3,4,6}:{(270,1),(271,1),(385,1),(388,1),(472,1)}
       332:{2,5}:{(271,1),(278,1),(388,1)}
       333:{2,4,6}:{(272,1),(275,1),(354,1),(381,1),(389,1),(390,1),(469,1)}
       334:{1,3,4,7}:{(272,1),(273,1),(280,1),(355,1),(382,1),(390,1),(440,1),(470,1),(501,1),(535,1)}
       335:{1,4,6,7}:{(273,1),(274,1),(276,1),(281,1),(383,1),(391,1)}
       336:{1,4,5}:{(275,1),(277,1),(357,1),(384,1),(389,1)}
       337:{1,5,6}:{(276,1),(278,1),(283,1),(386,1),(391,1)}
       338:{1,2,4}:{(277,1),(279,1),(284,1),(387,1),(392,1)}
       339:{3,4,6,7}:{(280,1),(281,1),(282,1),(364,1),(393,1),(461,1)}
       340:{2,5,7}:{(281,1),(283,1),(391,1),(393,1)}
       341:{3,5,6}:{(282,1),(283,1),(285,1),(393,1),(394,1)}
       342:{2,3}:{(284,1),(392,1)}
       343:{4,5}:{(285,1),(286,1)}
       344:{3,4,5}:{(288,1),(395,1),(396,1),(423,1),(436,1)}
       345:{3,5,6}:{(287,1),(288,1),(324,1),(395,1),(399,1),(403,1)}
       346:{2,4,5,7}:{(287,1),(294,1),(325,1),(399,1),(400,1),(409,1),(432,1),(474,1),(499,1),(523,1),(524,1)}
       347:{2,3,5}:{(288,1),(290,1),(295,1),(396,1),(401,1),(533,1)}
       348:{3,5,7}:{(288,1),(289,1),(291,1),(403,1)}
       349:{2,4,6}:{(289,1),(297,1),(403,1),(404,1),(414,1),(487,1)}
       350:{1,3,4,6}:{(290,1),(298,1),(330,1),(401,1),(405,1),(406,1),(415,1),(429,1),(473,1),(486,1),(490,1),(520,1),(525,1),(532,1),(545,1)}
       351:{2,3,4,7}:{(290,1),(291,1),(299,1),(402,1),(406,1),(422,1),(430,1),(474,1),(493,1)}
       352:{3,4,6,7}:{(291,1),(292,1),(331,1),(403,1),(407,1),(427,1),(431,1),(487,1),(495,1),(497,1),(499,1)}
       353:{2,5,7}:{(292,1),(300,1),(332,1),(404,1),(407,1),(533,1)}
       354:{2,5,6}:{(293,1),(295,1),(333,1),(408,1),(409,1),(414,1)}
       355:{1,3,5,7}:{(293,1),(294,1),(303,1),(334,1),(399,1),(409,1),(410,1)}
       356:{1,4,6,7}:{(294,1),(297,1),(304,1),(400,1),(410,1),(411,1),(489,1)}
       357:{1,5}:{(295,1),(298,1)}
       358:{2,5,7}:{(295,1),(296,1),(299,1),(413,1),(414,1)}
       359:{1,3,6}:{(296,1),(297,1),(307,1),(403,1),(414,1)}
       360:{1,5,6}:{(297,1),(300,1),(308,1),(404,1)}
       361:{1,2,4,6}:{(298,1),(301,1),(309,1),(338,1),(405,1),(412,1),(415,1),(416,1),(490,1),(492,1),(532,1)}
       362:{1,4,7}:{(298,1),(299,1),(302,1),(413,1)}
       363:{1,2,7}:{(301,1),(302,1),(312,1),(498,1)}
       364:{3,6,7}:{(303,1),(304,1),(307,1)}
       365:{2,5,6,7}:{(304,1),(308,1),(340,1),(411,1),(417,1),(544,1)}
       366:{2,5}:{(305,1),(309,1)}
       367:{1,3,5,7}:{(305,1),(306,1),(310,1),(315,1),(413,1),(419,1),(420,1),(424,1)}
       368:{2,3,6}:{(306,1),(307,1),(316,1),(414,1),(420,1)}
       369:{3,5,6}:{(307,1),(308,1),(311,1),(421,1)}
       370:{2,3,6}:{(309,1),(318,1),(342,1),(415,1),(418,1),(422,1)}
       371:{2,4,7}:{(309,1),(310,1),(312,1),(419,1),(422,1)}
       372:{4,5,7}:{(311,1),(313,1),(343,1),(421,1),(551,1),(552,1)}
       373:{3,5}:{(314,1),(318,1),(423,1)}
       374:{2,4,5,7}:{(314,1),(315,1),(319,1),(419,1),(424,1),(425,1),(428,1),(493,1),(497,1),(533,1),(534,1)}
       375:{1,4,6}:{(315,1),(316,1),(420,1),(425,1),(426,1)}
       376:{2,5,6}:{(316,1),(317,1),(321,1),(426,1),(547,1)}
       377:{4,5,6}:{(317,1),(322,1),(421,1),(552,1)}
       378:{3,7}:{(318,1),(319,1)}
       379:{2,4,6,7}:{(319,1),(320,1),(323,1),(425,1),(427,1),(428,1),(497,1)}
       380:{1,5,7}:{(320,1),(321,1),(426,1),(428,1)}
       381:{2,3,6}:{(324,1),(327,1),(333,1),(429,1),(430,1),(520,1)}
       382:{3,7}:{(324,1),(325,1)}
       383:{2,4,6,7}:{(325,1),(326,1),(329,1),(335,1),(431,1),(432,1),(499,1)}
       384:{1,3,5}:{(327,1),(330,1),(336,1),(429,1),(433,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(332,1),(337,1),(432,1),(434,1)}
       387:{2,4}:{(330,1),(433,1),(435,1)}
       388:{3,5}:{(331,1),(332,1),(436,1)}
       389:{1,4,6}:{(333,1),(336,1),(408,1),(429,1),(437,1)}
       390:{2,4,7}:{(333,1),(334,1),(409,1),(430,1),(437,1),(498,1)}
       391:{1,5,7}:{(335,1),(337,1),(340,1),(432,1)}
       392:{1,3}:{(338,1),(342,1),(435,1)}
       393:{3,5,7}:{(339,1),(340,1),(341,1),(438,1)}
       394:{4,5,6}:{(341,1),(343,1),(421,1),(438,1)}
       395:{3,4,6}:{(344,1),(345,1),(439,1),(440,1),(472,1)}
       396:{2,4,5}:{(344,1),(347,1),(439,1),(441,1),(462,1)}
       397:{3,4,5,7}:{(344,1),(348,1),(440,1),(442,1),(443,1),(454,1),(465,1),(503,1),(518,1)}
       398:{2,3,5,6}:{(345,1),(347,1),(354,1),(381,1),(439,1),(444,1),(445,1),(450,1),(507,1)}
       399:{3,5,7}:{(345,1),(346,1),(382,1),(440,1),(446,1)}
       400:{2,4,6,7}:{(346,1),(349,1),(356,1),(446,1),(447,1),(456,1),(511,1)}
       401:{1,3,5}:{(347,1),(350,1),(357,1),(441,1),(448,1),(504,1),(542,1),(549,1)}
       402:{2,3,5,7}:{(347,1),(348,1),(351,1),(358,1),(442,1),(449,1),(450,1)}
       403:{3,6}:{(348,1),(349,1)}
       404:{2,5,6}:{(349,1),(353,1),(360,1),(451,1)}
       405:{2,4,6}:{(350,1),(387,1),(448,1),(452,1),(453,1),(469,1),(512,1),(514,1)}
       406:{1,3,4,7}:{(350,1),(351,1),(362,1),(449,1),(453,1),(460,1),(470,1),(501,1),(515,1),(535,1),(538,1)}
       407:{3,5,7}:{(352,1),(353,1),(388,1),(451,1),(454,1),(518,1)}
       408:{1,5,6}:{(354,1),(357,1),(389,1),(455,1),(459,1)}
       409:{2,5,7}:{(354,1),(355,1),(390,1),(455,1),(456,1)}
       410:{1,3,6,7}:{(355,1),(356,1),(359,1),(364,1),(446,1),(456,1)}
       411:{1,5,6,7}:{(356,1),(360,1),(365,1),(391,1),(447,1),(537,1)}
       412:{1,2,5}:{(357,1),(361,1),(366,1),(448,1),(457,1),(542,1)}
       413:{1,5,7}:{(357,1),(358,1),(362,1),(459,1)}
       414:{2,6}:{(358,1),(359,1),(459,1)}
       415:{1,3,6}:{(361,1),(370,1),(392,1),(452,1),(457,1),(460,1)}
       416:{1,2,4,7}:{(361,1),(362,1),(363,1),(371,1),(453,1),(458,1),(460,1),(515,1)}
       417:{3,5,6,7}:{(364,1),(365,1),(369,1),(393,1),(461,1),(548,1)}
       418:{2,3,5}:{(366,1),(370,1),(373,1),(457,1),(462,1)}
       419:{2,5,7}:{(366,1),(367,1),(371,1),(464,1)}
       420:{1,3,6}:{(367,1),(368,1),(375,1),(459,1),(464,1),(466,1)}
       421:{4,6}:{(369,1),(372,1)}
       422:{2,3,7}:{(370,1),(371,1),(378,1),(460,1)}
       423:{3,4}:{(373,1),(462,1)}
       424:{3,5,7}:{(373,1),(374,1),(378,1),(465,1),(466,1),(518,1)}
       425:{2,4,6}:{(374,1),(375,1),(464,1),(466,1),(467,1),(519,1)}
       426:{1,5,6}:{(375,1),(376,1),(380,1),(467,1),(542,1)}
       427:{3,6,7}:{(378,1),(379,1),(466,1),(468,1)}
       428:{2,5,7}:{(379,1),(380,1),(467,1),(468,1)}
       429:{1,3,6}:{(381,1),(384,1),(389,1),(469,1),(470,1)}
       430:{2,3,7}:{(381,1),(382,1),(390,1),(470,1),(535,1)}
       431:{3,6,7}:{(382,1),(383,1),(385,1),(471,1)}
       432:{2,5,7}:{(383,1),(386,1),(391,1),(471,1)}
       433:{2,5}:{(384,1),(387,1),(469,1)}
       434:{3,5,6}:{(385,1),(386,1),(388,1),(471,1),(472,1)}
       435:{2,3}:{(387,1),(392,1)}
       436:{4,5}:{(388,1),(472,1)}
       437:{1,4,7}:{(389,1),(390,1),(455,1),(470,1)}
       438:{4,5,7}:{(393,1),(394,1),(461,1)}
       439:{2,4,6}:{(395,1),(396,1),(398,1),(473,1),(474,1)}
       440:{3,4,7}:{(395,1),(399,1),(474,1),(499,1)}
       441:{1,4,5}:{(396,1),(401,1),(473,1),(476,1),(490,1),(552,1)}
       442:{2,4,5,7}:{(396,1),(397,1),(402,1),(474,1),(477,1),(478,1),(493,1),(523,1),(533,1)}
       443:{3,4,6}:{(397,1),(403,1),(478,1),(479,1),(487,1)}
       444:{1,3,5,6}:{(398,1),(401,1),(408,1),(429,1),(473,1),(480,1),(481,1),(486,1),(520,1),(528,1),(546,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(409,1),(430,1),(474,1),(481,1),(482,1),(523,1)}
       446:{3,6,7}:{(399,1),(400,1),(403,1)}
       447:{2,5,6,7}:{(400,1),(404,1),(411,1),(432,1),(483,1),(523,1)}
       448:{2,5}:{(401,1),(405,1)}
       449:{1,3,5,7}:{(401,1),(402,1),(406,1),(413,1),(477,1),(485,1),(486,1),(526,1)}
       450:{2,3,6}:{(402,1),(403,1),(414,1),(478,1),(486,1)}
       451:{3,5,6}:{(403,1),(404,1),(407,1),(487,1)}
       452:{2,3,6}:{(405,1),(415,1),(435,1),(484,1),(488,1),(520,1)}
       453:{2,4,7}:{(405,1),(406,1),(485,1),(488,1),(498,1)}
       454:{4,5,7}:{(407,1),(436,1),(487,1),(497,1),(499,1),(534,1)}
       455:{1,5,7}:{(408,1),(409,1),(437,1),(489,1)}
       456:{2,6,7}:{(409,1),(410,1),(414,1),(489,1)}
       457:{1,3,5}:{(412,1),(415,1),(418,1),(484,1),(490,1)}
       458:{1,2,5,7}:{(412,1),(413,1),(416,1),(419,1),(485,1),(491,1),(492,1)}
       459:{1,6}:{(413,1),(414,1)}
       460:{1,3,7}:{(415,1),(416,1),(422,1),(488,1)}
       461:{4,6,7}:{(417,1),(421,1),(438,1),(551,1)}
       462:{2,4}:{(418,1),(423,1),(490,1)}
       463:{2,3,5,7}:{(418,1),(419,1),(422,1),(424,1),(491,1),(493,1),(494,1),(533,1)}
       464:{2,6}:{(419,1),(420,1)}
       465:{3,4,7}:{(423,1),(424,1),(493,1),(495,1),(497,1)}
       466:{3,6}:{(424,1),(425,1)}
       467:{2,5,6}:{(425,1),(426,1),(428,1),(496,1),(533,1)}
       468:{3,5,7}:{(427,1),(428,1),(496,1),(497,1)}
       469:{2,6}:{(429,1),(433,1),(498,1)}
       470:{1,3,7}:{(429,1),(430,1),(437,1),(498,1)}
       471:{3,5,7}:{(431,1),(432,1),(434,1),(499,1)}
       472:{4,6}:{(434,1),(436,1),(499,1)}
       473:{1,4,6}:{(439,1),(441,1),(444,1),(500,1),(501,1),(550,1)}
       474:{2,4,7}:{(439,1),(440,1),(445,1),(501,1)}
       475:{3,4,6,7}:{(440,1),(443,1),(446,1),(502,1),(503,1),(511,1)}
       476:{2,4,5}:{(441,1),(448,1),(500,1),(504,1),(512,1)}
       477:{1,4,5,7}:{(441,1),(442,1),(449,1),(501,1),(505,1),(506,1),(515,1),(537,1),(542,1)}
       478:{2,4,6}:{(442,1),(443,1),(450,1),(506,1),(507,1)}
       479:{3,5,6}:{(443,1),(503,1),(507,1),(508,1),(518,1)}
       480:{2,5,6}:{(444,1),(448,1),(469,1),(500,1),(509,1),(514,1)}
       481:{1,3,5,7}:{(444,1),(445,1),(455,1),(470,1),(501,1),(509,1),(510,1),(535,1),(537,1),(548,1)}
       482:{2,3,6,7}:{(445,1),(446,1),(450,1),(456,1),(502,1),(510,1)}
       483:{3,5,6,7}:{(446,1),(447,1),(451,1),(471,1),(503,1),(511,1)}
       484:{2,3,5}:{(448,1),(452,1),(457,1),(504,1),(512,1)}
       485:{2,5,7}:{(448,1),(449,1),(453,1),(514,1)}
       486:{1,3,6}:{(449,1),(450,1),(459,1),(506,1),(514,1),(539,1)}
       487:{4,6}:{(451,1),(454,1)}
       488:{2,3,7}:{(452,1),(453,1),(460,1),(535,1)}
       489:{1,6,7}:{(455,1),(456,1),(459,1)}
       490:{1,4}:{(457,1),(462,1),(512,1)}
       491:{1,3,5,7}:{(457,1),(458,1),(460,1),(463,1),(513,1),(515,1),(516,1),(542,1)}
       492:{1,2,6}:{(458,1),(459,1),(464,1),(514,1),(516,1)}
       493:{2,4,7}:{(462,1),(463,1),(465,1),(515,1),(517,1)}
       494:{2,3,6}:{(463,1),(464,1),(466,1),(516,1),(517,1)}
       495:{3,4,6}:{(465,1),(466,1),(517,1),(518,1),(519,1)}
       496:{3,5,6}:{(466,1),(467,1),(468,1),(518,1),(519,1)}
       497:{4,7}:{(468,1),(519,1)}
       498:{2,7}:{(469,1),(470,1)}
       499:{4,7}:{(471,1),(472,1)}
       500:{2,4,6}:{(473,1),(476,1),(480,1),(520,1),(521,1)}
       501:{1,4,7}:{(473,1),(474,1),(481,1),(521,1),(551,1)}
       502:{2,4,6,7}:{(474,1),(475,1),(478,1),(482,1),(522,1),(523,1)}
       503:{3,5,7}:{(475,1),(479,1),(523,1),(524,1)}
       504:{3,5}:{(476,1),(520,1),(525,1)}
       505:{2,4,5,7}:{(476,1),(477,1),(485,1),(521,1),(526,1),(527,1),(530,1),(544,1),(547,1),(551,1),(552,1)}
       506:{1,4,6}:{(477,1),(478,1),(486,1),(527,1),(528,1)}
       507:{2,5,6}:{(478,1),(479,1),(523,1),(528,1),(533,1)}
       508:{4,5,6}:{(479,1),(487,1),(524,1),(534,1)}
       509:{2,5,7}:{(480,1),(481,1),(498,1),(521,1),(529,1)}
       510:{1,3,6,7}:{(481,1),(482,1),(486,1),(489,1),(522,1),(529,1),(543,1)}
       511:{4,6,7}:{(483,1),(487,1),(499,1),(524,1)}
       512:{2,4}:{(484,1),(490,1),(525,1)}
       513:{2,3,5,7}:{(484,1),(485,1),(488,1),(491,1),(526,1),(530,1),(531,1),(547,1)}
       514:{2,6}:{(485,1),(486,1)}
       515:{1,4,7}:{(490,1),(491,1),(493,1),(530,1),(532,1)}
       516:{1,3,6}:{(491,1),(492,1),(494,1),(531,1),(532,1)}
       517:{2,4,6}:{(493,1),(494,1),(495,1),(532,1),(533,1)}
       518:{3,5}:{(495,1),(533,1),(534,1)}
       519:{4,6}:{(496,1),(497,1),(534,1)}
       520:{3,6}:{(500,1),(504,1),(535,1)}
       521:{2,4,7}:{(500,1),(501,1),(509,1),(535,1)}
       522:{1,4,6,7}:{(501,1),(502,1),(506,1),(510,1),(536,1),(537,1)}
       523:{2,5,7}:{(502,1),(503,1),(507,1),(537,1)}
       524:{4,5,7}:{(503,1),(508,1),(511,1)}
       525:{3,4}:{(504,1),(512,1)}
       526:{3,5,7}:{(504,1),(505,1),(535,1),(538,1),(539,1),(549,1)}
       527:{2,4,6}:{(505,1),(506,1),(514,1),(539,1),(540,1),(550,1)}
       528:{1,5,6}:{(506,1),(507,1),(537,1),(540,1),(542,1)}
       529:{2,6,7}:{(509,1),(510,1),(514,1)}
       530:{2,4,7}:{(512,1),(513,1),(515,1),(538,1),(541,1)}
       531:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(518,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{3,7}:{(520,1),(521,1)}
       536:{2,4,6,7}:{(521,1),(522,1),(527,1),(529,1),(543,1),(544,1),(551,1)}
       537:{1,5,7}:{(522,1),(523,1),(528,1),(544,1)}
       538:{3,4,7}:{(525,1),(526,1),(530,1),(545,1),(551,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{2,5,6}:{(527,1),(528,1),(544,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{3,6,7}:{(535,1),(536,1),(539,1),(548,1)}
       544:{2,5,7}:{(536,1),(537,1),(540,1),(548,1)}
       545:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       546:{3,5,6}:{(539,1),(540,1),(548,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(549,1)}
       548:{3,5,7}:{(543,1),(544,1),(546,1),(551,1)}
       549:{3,5}:{(545,1),(547,1),(552,1)}
       550:{4,6}:{(546,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 477 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 478 :   0:{4,5,7}:{(3,1),(4,1),(23,1),(27,1),(50,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(50,1),(77,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(77,1),(101,1)}
         3:{3,5,7}:{(0,1),(1,1),(9,1),(10,1),(15,1)}
         4:{4,6}:{(0,1),(10,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(9,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(10,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(113,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{2,5,7}:{(3,1),(5,1),(19,1),(20,1),(26,1)}
        10:{3,6}:{(3,1),(4,1),(20,1)}
        11:{4,6,7}:{(4,1),(21,1),(23,1),(50,1),(145,1)}
        12:{5,6}:{(4,1),(23,1)}
        13:{1,4,7}:{(5,1),(7,1),(19,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(20,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{1,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1)}
        20:{2,6}:{(9,1),(10,1),(32,1)}
        21:{3,6,7}:{(10,1),(11,1),(33,1),(35,1),(143,1)}
        22:{3,5,6}:{(10,1),(12,1),(15,1),(34,1),(35,1),(36,1),(64,1),(138,1),(143,1),(146,1)}
        23:{5,7}:{(11,1),(12,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(31,1),(37,1),(38,1),(57,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(32,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,5,7}:{(19,1),(24,1),(44,1),(45,1),(52,1)}
        32:{1,6}:{(19,1),(20,1),(45,1)}
        33:{2,6,7}:{(20,1),(21,1),(46,1),(48,1),(140,1)}
        34:{2,5,6}:{(20,1),(22,1),(26,1),(47,1),(48,1),(49,1),(133,1),(140,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(48,1),(50,1),(77,1)}
        36:{4,6}:{(22,1),(27,1),(50,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(45,1),(51,1),(52,1),(55,1),(70,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(49,1),(53,1),(54,1),(80,1),(123,1),(133,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{3,5,7}:{(31,1),(37,1),(57,1),(58,1),(65,1),(84,1)}
        45:{2,6}:{(31,1),(32,1),(58,1)}
        46:{1,6,7}:{(32,1),(33,1),(59,1),(61,1),(136,1)}
        47:{1,5,6}:{(32,1),(34,1),(39,1),(60,1),(61,1),(62,1),(126,1),(136,1)}
        48:{2,5,7}:{(33,1),(34,1),(35,1),(61,1),(63,1)}
        49:{2,4,6}:{(34,1),(36,1),(40,1),(62,1),(63,1),(64,1),(90,1)}
        50:{4,7}:{(35,1),(36,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(84,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(62,1),(66,1),(67,1),(93,1),(114,1),(126,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{4,7}:{(44,1),(70,1),(78,1)}
        58:{3,6}:{(44,1),(45,1),(70,1)}
        59:{2,6,7}:{(45,1),(46,1),(71,1),(73,1),(131,1)}
        60:{2,5,6}:{(45,1),(47,1),(52,1),(72,1),(73,1),(74,1),(118,1),(131,1)}
        61:{1,5,7}:{(46,1),(47,1),(48,1),(73,1),(75,1)}
        62:{1,4,6}:{(47,1),(49,1),(53,1),(74,1),(75,1),(76,1),(102,1)}
        63:{2,4,7}:{(48,1),(49,1),(50,1),(75,1),(77,1),(101,1)}
        64:{3,6}:{(49,1),(54,1),(77,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(74,1),(78,1),(79,1),(80,1),(96,1),(103,1),(118,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(76,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(59,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(60,1),(65,1),(84,1),(85,1),(86,1),(88,1),(106,1),(108,1),(124,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(85,1),(87,1)}
        74:{2,4,6}:{(60,1),(62,1),(66,1),(86,1),(87,1),(88,1),(90,1)}
        75:{1,4,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(113,1)}
        76:{1,3,6}:{(62,1),(64,1),(67,1),(88,1),(89,1),(90,1)}
        77:{3,7}:{(63,1),(64,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(88,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(73,1),(95,1),(97,1),(99,1)}
        86:{4,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,4,7}:{(73,1),(74,1),(75,1),(97,1),(99,1),(101,1)}
        88:{3,6}:{(74,1),(79,1),(99,1)}
        89:{1,3,7}:{(75,1),(76,1),(77,1),(99,1),(101,1)}
        90:{2,6}:{(76,1),(80,1),(101,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(100,1),(103,1),(104,1),(118,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(88,1),(91,1),(108,1),(109,1),(110,1),(124,1)}
        99:{3,7}:{(87,1),(88,1)}
       100:{2,3,6}:{(88,1),(90,1),(92,1),(110,1),(111,1),(112,1)}
       101:{2,7}:{(89,1),(90,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(113,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(112,1),(114,1),(115,1),(126,1),(130,1),(138,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(99,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(100,1),(103,1),(118,1),(119,1),(120,1),(131,1)}
       111:{2,3,7}:{(99,1),(100,1),(101,1),(119,1),(121,1)}
       112:{1,3,6}:{(100,1),(102,1),(104,1),(120,1),(121,1),(122,1),(135,1)}
       113:{1,7}:{(101,1),(102,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(112,1),(114,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(111,1),(112,1),(113,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(112,1),(115,1),(129,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 479 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 480 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(19,1),(27,1),(31,1),(50,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(50,1),(83,1)}
         2:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(17,1),(43,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(35,1),(69,1)}
         5:{1,3,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(97,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(17,1),(42,1),(75,1),(76,1)}
         7:{2,3,7}:{(1,1),(11,1),(16,1),(69,1),(98,1)}
         8:{3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(50,1),(60,1),(136,1),(144,1),(146,1)}
         9:{1,4,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(30,1),(59,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(7,1),(23,1),(25,1)}
        12:{4,5}:{(3,1),(19,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(54,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(23,1),(29,1),(55,1),(110,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,5,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(43,1),(131,1),(142,1)}
        19:{4,6}:{(8,1),(12,1),(35,1),(140,1)}
        20:{3,5,7}:{(8,1),(34,1),(35,1),(36,1),(69,1),(70,1)}
        21:{2,4,6}:{(9,1),(14,1),(37,1),(38,1),(39,1),(45,1),(71,1),(74,1),(100,1)}
        22:{1,5}:{(9,1),(10,1),(38,1)}
        23:{1,4,7}:{(9,1),(11,1),(16,1),(39,1),(41,1)}
        24:{2,4,5}:{(10,1),(12,1),(17,1),(33,1),(40,1),(42,1),(75,1),(122,1),(131,1),(140,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(41,1),(43,1)}
        26:{4,5,7}:{(12,1),(13,1),(35,1),(44,1),(70,1)}
        27:{3,6}:{(13,1),(43,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(71,1)}
        31:{3,4}:{(17,1),(42,1),(140,1)}
        32:{1,5,6}:{(18,1),(22,1),(47,1),(48,1),(49,1),(59,1),(123,1),(138,1)}
        33:{2,4,6}:{(18,1),(19,1),(24,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,5,7}:{(18,1),(20,1),(49,1),(51,1),(52,1)}
        35:{4,7}:{(19,1),(20,1)}
        36:{3,6,7}:{(20,1),(27,1),(52,1),(53,1),(144,1)}
        37:{3,6}:{(21,1),(54,1),(55,1),(61,1)}
        38:{2,5}:{(21,1),(22,1),(54,1),(112,1)}
        39:{2,4,7}:{(21,1),(23,1),(29,1),(55,1),(57,1),(86,1)}
        40:{1,4,5}:{(22,1),(24,1),(30,1),(48,1),(56,1),(58,1),(89,1),(111,1),(123,1)}
        41:{1,5,7}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        42:{3,5}:{(24,1),(31,1),(50,1),(130,1)}
        43:{2,6}:{(25,1),(27,1),(59,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(58,1),(61,1),(62,1),(85,1),(90,1),(111,1),(130,1)}
        47:{2,5,6}:{(32,1),(38,1),(63,1),(64,1),(65,1),(74,1),(114,1),(133,1)}
        48:{1,4,6}:{(32,1),(33,1),(40,1),(64,1),(66,1),(67,1),(97,1)}
        49:{1,5,7}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{3,6}:{(33,1),(42,1),(69,1)}
        51:{2,4,7}:{(33,1),(34,1),(35,1),(67,1),(69,1),(98,1)}
        52:{2,6,7}:{(34,1),(36,1),(43,1),(68,1),(142,1)}
        53:{4,6,7}:{(35,1),(36,1),(44,1),(70,1),(145,1)}
        54:{3,5}:{(37,1),(38,1),(71,1)}
        55:{3,7}:{(37,1),(39,1)}
        56:{2,4,5}:{(38,1),(40,1),(45,1),(64,1),(71,1),(73,1),(75,1),(91,1),(99,1),(114,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1),(74,1)}
        58:{1,3,5}:{(40,1),(42,1),(46,1),(66,1),(73,1),(75,1)}
        59:{1,6}:{(41,1),(43,1),(74,1)}
        60:{5,6}:{(44,1),(70,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(75,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(54,1),(78,1),(79,1),(80,1),(87,1),(103,1),(112,1),(125,1),(126,1)}
        64:{2,4,6}:{(47,1),(48,1),(56,1),(78,1),(80,1),(81,1),(83,1)}
        65:{2,5,7}:{(47,1),(49,1),(79,1),(81,1),(82,1)}
        66:{1,3,6}:{(48,1),(50,1),(58,1),(80,1),(83,1),(84,1)}
        67:{1,4,7}:{(48,1),(49,1),(51,1),(81,1),(84,1),(110,1)}
        68:{1,6,7}:{(49,1),(52,1),(59,1),(82,1),(138,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{5,7}:{(53,1),(60,1),(146,1)}
        71:{4}:{(54,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(86,1),(87,1),(112,1)}
        73:{3,5}:{(56,1),(61,1),(80,1),(85,1)}
        74:{2,6}:{(57,1),(59,1),(87,1)}
        75:{2,5}:{(58,1),(62,1),(83,1),(89,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(130,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(71,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(65,1),(93,1),(94,1),(96,1),(119,1)}
        80:{3,6}:{(64,1),(73,1),(96,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(93,1),(96,1),(98,1)}
        82:{2,6,7}:{(65,1),(68,1),(74,1),(94,1),(133,1)}
        83:{2,6}:{(66,1),(75,1),(97,1),(98,1)}
        84:{1,3,7}:{(66,1),(67,1),(69,1),(96,1),(98,1)}
        85:{3,4}:{(71,1),(73,1),(99,1)}
        86:{4,7}:{(71,1),(72,1),(100,1)}
        87:{3,6}:{(72,1),(74,1),(100,1)}
        88:{2,3,5}:{(73,1),(75,1),(76,1),(95,1),(99,1),(101,1),(114,1)}
        89:{1,5}:{(75,1),(77,1),(97,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(112,1)}
        92:{3,4,6}:{(78,1),(80,1),(85,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(87,1),(107,1),(125,1)}
        95:{2,3,6}:{(80,1),(83,1),(88,1),(105,1),(108,1),(109,1)}
        96:{3,7}:{(80,1),(81,1)}
        97:{1,6}:{(83,1),(89,1),(110,1)}
        98:{2,7}:{(83,1),(84,1),(110,1)}
        99:{2,4}:{(85,1),(88,1),(111,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{1,3,5}:{(88,1),(89,1),(90,1),(108,1),(111,1),(113,1),(123,1),(130,1),(136,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(99,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(96,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(100,1),(116,1),(119,1)}
       108:{1,3,6}:{(95,1),(97,1),(101,1),(117,1),(120,1),(121,1),(134,1)}
       109:{2,3,7}:{(95,1),(96,1),(98,1),(118,1),(121,1)}
       110:{1,7}:{(97,1),(98,1)}
       111:{1,4}:{(99,1),(101,1),(122,1),(140,1)}
       112:{5}:{(100,1)}
       113:{2,5}:{(101,1),(102,1),(120,1),(122,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(111,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(109,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(112,1),(126,1)}
       120:{2,6}:{(108,1),(113,1),(129,1)}
       121:{1,3,7}:{(108,1),(109,1),(110,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(111,1),(113,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 481 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(33,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(52,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(53,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(39,1),(46,1),(77,1),(83,1),(101,1),(109,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(72,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(52,1),(56,1),(64,1),(84,1),(95,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(22,1),(30,1),(100,1),(115,1),(120,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(22,1),(24,1),(53,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(95,1),(115,1),(120,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(22,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(33,1),(42,1),(65,1),(71,1),(81,1),(83,1),(103,1),(104,1),(106,1),(109,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(33,1),(34,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(34,1),(36,1),(72,1)}
        22:{3,6}:{(11,1),(12,1)}
        23:{2,4,6,7}:{(12,1),(35,1),(37,1),(39,1),(73,1),(77,1),(109,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(33,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(34,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(49,1),(61,1),(86,1),(100,1),(120,1)}
        32:{2,4,6}:{(19,1),(21,1),(49,1),(51,1),(53,1),(90,1)}
        33:{2,5,7}:{(20,1),(27,1),(52,1),(53,1),(63,1),(123,1),(132,1)}
        34:{1,3,6}:{(20,1),(21,1),(22,1),(49,1),(53,1)}
        35:{1,4,6,7}:{(21,1),(23,1),(50,1),(54,1),(56,1),(91,1),(95,1),(118,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(56,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(120,1)}
        38:{3,5,6}:{(22,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        39:{2,5,7}:{(23,1),(24,1),(56,1),(57,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(120,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(52,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(53,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(106,1),(113,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(40,1),(65,1),(67,1),(68,1),(80,1),(103,1)}
        49:{3,6}:{(31,1),(32,1)}
        50:{2,4,6,7}:{(32,1),(35,1),(69,1),(71,1),(73,1),(106,1),(109,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(70,1),(71,1),(103,1)}
        52:{1,5,7}:{(33,1),(43,1),(72,1),(82,1),(130,1),(137,1)}
        53:{2,6}:{(33,1),(34,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(37,1),(69,1),(73,1),(75,1),(126,1)}
        55:{1,3,5,6}:{(34,1),(36,1),(38,1),(45,1),(70,1),(74,1),(75,1),(76,1),(110,1)}
        56:{1,5,7}:{(35,1),(36,1),(39,1),(71,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(38,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(72,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(48,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(49,1),(85,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(59,1),(84,1),(87,1),(88,1),(97,1),(115,1),(117,1),(131,1)}
        68:{2,3,6}:{(48,1),(49,1),(53,1),(85,1),(88,1)}
        69:{3,6,7}:{(49,1),(50,1),(89,1),(120,1)}
        70:{3,5,6}:{(49,1),(51,1),(61,1),(86,1),(89,1),(90,1)}
        71:{2,5,7}:{(50,1),(51,1),(56,1),(89,1)}
        72:{1,6}:{(52,1),(53,1)}
        73:{2,6,7}:{(53,1),(54,1),(91,1),(93,1),(132,1)}
        74:{2,5,6}:{(53,1),(55,1),(63,1),(92,1),(93,1),(94,1)}
        75:{1,3,5,7}:{(54,1),(55,1),(56,1),(57,1),(89,1),(93,1),(95,1),(120,1)}
        76:{1,4,6}:{(55,1),(58,1),(64,1),(90,1),(94,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(94,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(67,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(68,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{2,5,7}:{(67,1),(78,1),(101,1),(105,1),(111,1),(125,1)}
        88:{1,3,6}:{(67,1),(68,1),(72,1),(102,1),(105,1),(124,1)}
        89:{3,5,7}:{(69,1),(70,1),(71,1),(106,1)}
        90:{4,6}:{(70,1),(81,1),(104,1),(106,1)}
        91:{1,6,7}:{(72,1),(73,1),(107,1),(137,1)}
        92:{1,5,6}:{(72,1),(74,1),(82,1),(107,1),(108,1)}
        93:{2,5,7}:{(73,1),(74,1),(75,1),(107,1),(109,1)}
        94:{2,4,6}:{(74,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        95:{1,4,7}:{(75,1),(76,1),(77,1),(106,1),(109,1),(137,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(108,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(87,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(88,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{2,6}:{(87,1),(88,1)}
       106:{4,7}:{(89,1),(90,1)}
       107:{1,5,7}:{(91,1),(92,1),(93,1),(118,1)}
       108:{1,4,6}:{(92,1),(94,1),(99,1),(118,1),(119,1)}
       109:{2,4,7}:{(93,1),(94,1),(95,1),(118,1),(120,1),(132,1)}
       110:{3,6}:{(94,1),(100,1),(120,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(119,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(105,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{1,3,6}:{(108,1),(110,1),(114,1),(126,1),(127,1)}
       120:{3,7}:{(109,1),(110,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(119,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 482 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(49,1),(55,1)}
         1:{2,3,5}:{(2,1),(5,1),(6,1),(22,1),(23,1),(26,1),(49,1)}
         2:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1),(37,1),(68,1)}
         3:{1,2,4}:{(0,1),(8,1),(10,1),(34,1)}
         4:{1,2,6}:{(0,1),(9,1),(11,1),(69,1)}
         5:{2,4}:{(1,1),(8,1),(13,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(15,1),(38,1),(69,1)}
         7:{2,3,5}:{(2,1),(16,1),(17,1),(22,1),(44,1),(47,1),(49,1)}
         8:{1,4}:{(2,1),(5,1),(16,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(17,1),(20,1),(21,1),(84,1)}
        10:{1,3}:{(3,1),(22,1)}
        11:{1,2,7}:{(4,1),(21,1),(85,1)}
        12:{2,4,5}:{(5,1),(18,1),(23,1),(24,1),(26,1),(49,1),(59,1)}
        13:{3,4}:{(5,1),(23,1)}
        14:{2,4,6}:{(5,1),(6,1),(20,1),(25,1),(26,1),(27,1),(61,1)}
        15:{2,3,7}:{(6,1),(21,1),(27,1),(57,1),(85,1)}
        16:{2,4}:{(7,1),(8,1),(29,1)}
        17:{2,3,6}:{(7,1),(9,1),(30,1),(31,1),(62,1),(69,1)}
        18:{1,4,5}:{(8,1),(12,1),(28,1),(32,1),(33,1),(35,1),(68,1)}
        19:{1,3,4}:{(8,1),(10,1),(13,1),(29,1),(32,1),(34,1)}
        20:{1,4,6}:{(8,1),(9,1),(14,1),(30,1),(35,1),(36,1),(72,1)}
        21:{1,3,7}:{(9,1),(11,1),(15,1),(31,1),(36,1),(95,1)}
        22:{2,3}:{(10,1),(34,1),(37,1)}
        23:{3,5}:{(12,1),(13,1),(38,1)}
        24:{2,4,6}:{(12,1),(33,1),(38,1),(39,1),(40,1),(69,1),(73,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(42,1),(73,1),(77,1)}
        26:{2,5}:{(14,1),(35,1),(41,1)}
        27:{2,4,7}:{(14,1),(15,1),(36,1),(42,1),(43,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1),(45,1),(47,1),(49,1),(81,1)}
        29:{3,4}:{(16,1),(44,1)}
        30:{2,4,6}:{(16,1),(17,1),(20,1),(46,1),(47,1),(48,1),(83,1)}
        31:{2,3,7}:{(17,1),(21,1),(48,1),(79,1),(85,1)}
        32:{1,3,5}:{(18,1),(19,1),(23,1),(44,1),(49,1),(50,1)}
        33:{1,4,6}:{(18,1),(24,1),(45,1),(50,1),(51,1),(52,1),(84,1)}
        34:{2,4}:{(19,1),(22,1),(49,1),(53,1)}
        35:{1,5}:{(20,1),(26,1),(47,1)}
        36:{1,4,7}:{(20,1),(21,1),(27,1),(48,1),(54,1)}
        37:{1,3}:{(22,1),(53,1),(55,1)}
        38:{3,6}:{(23,1),(24,1),(57,1)}
        39:{2,5,6}:{(24,1),(26,1),(51,1),(56,1),(58,1),(61,1)}
        40:{2,4,7}:{(24,1),(52,1),(57,1),(58,1),(85,1),(87,1)}
        41:{3,5}:{(25,1),(26,1),(59,1)}
        42:{3,4,7}:{(25,1),(27,1),(57,1),(60,1),(87,1)}
        43:{2,5,7}:{(26,1),(27,1),(54,1),(60,1),(61,1)}
        44:{3,5}:{(28,1),(29,1),(62,1)}
        45:{2,4,6}:{(28,1),(33,1),(62,1),(63,1),(64,1),(69,1),(90,1)}
        46:{3,4,6}:{(29,1),(30,1),(62,1),(65,1),(66,1),(90,1),(94,1)}
        47:{2,5}:{(30,1),(35,1),(65,1)}
        48:{2,4,7}:{(30,1),(31,1),(36,1),(66,1),(67,1)}
        49:{2,5}:{(32,1),(34,1),(68,1),(69,1)}
        50:{1,3,6}:{(32,1),(33,1),(38,1),(62,1),(69,1),(70,1)}
        51:{1,5,6}:{(33,1),(35,1),(39,1),(63,1),(71,1),(72,1)}
        52:{1,4,7}:{(33,1),(40,1),(64,1),(70,1),(71,1),(95,1)}
        53:{1,4}:{(34,1),(37,1),(68,1)}
        54:{1,5,7}:{(35,1),(36,1),(43,1),(67,1),(72,1)}
        55:{1,2}:{(37,1)}
        56:{3,5,6}:{(38,1),(39,1),(41,1),(73,1),(74,1),(77,1),(97,1)}
        57:{3,7}:{(38,1),(40,1)}
        58:{2,5,7}:{(39,1),(40,1),(71,1),(74,1),(75,1)}
        59:{4,5}:{(41,1),(73,1)}
        60:{3,5,7}:{(41,1),(42,1),(43,1),(76,1),(77,1)}
        61:{2,6}:{(43,1),(72,1),(77,1)}
        62:{3,6}:{(44,1),(45,1),(79,1)}
        63:{2,5,6}:{(45,1),(47,1),(51,1),(78,1),(80,1),(83,1)}
        64:{2,4,7}:{(45,1),(52,1),(79,1),(80,1),(85,1),(98,1)}
        65:{3,5}:{(46,1),(47,1),(81,1)}
        66:{3,4,7}:{(46,1),(48,1),(79,1),(82,1),(98,1)}
        67:{2,5,7}:{(47,1),(48,1),(54,1),(82,1),(83,1)}
        68:{1,5}:{(49,1),(53,1),(84,1)}
        69:{2,6}:{(49,1),(50,1),(84,1),(85,1)}
        70:{1,3,7}:{(50,1),(52,1),(57,1),(79,1),(85,1)}
        71:{1,5,7}:{(51,1),(52,1),(58,1),(80,1),(86,1)}
        72:{1,6}:{(54,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(59,1),(87,1)}
        74:{3,5,7}:{(56,1),(57,1),(58,1),(87,1),(88,1),(101,1)}
        75:{2,6,7}:{(58,1),(61,1),(86,1),(88,1)}
        76:{4,5,7}:{(59,1),(60,1),(87,1),(89,1),(101,1)}
        77:{3,6}:{(60,1),(61,1),(89,1)}
        78:{3,5,6}:{(62,1),(63,1),(65,1),(90,1),(91,1),(94,1),(103,1)}
        79:{3,7}:{(62,1),(64,1)}
        80:{2,5,7}:{(63,1),(64,1),(71,1),(91,1),(92,1)}
        81:{4,5}:{(65,1),(90,1)}
        82:{3,5,7}:{(65,1),(66,1),(67,1),(93,1),(94,1)}
        83:{2,6}:{(67,1),(72,1),(94,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(75,1),(92,1)}
        87:{4,7}:{(73,1),(74,1)}
        88:{3,6,7}:{(74,1),(75,1),(77,1),(96,1)}
        89:{4,6}:{(76,1),(77,1),(97,1)}
        90:{4,6}:{(78,1),(81,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(80,1),(98,1),(99,1),(104,1)}
        92:{2,6,7}:{(80,1),(83,1),(86,1),(99,1)}
        93:{4,5,7}:{(81,1),(82,1),(98,1),(100,1),(104,1)}
        94:{3,6}:{(82,1),(83,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(89,1),(101,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(92,1),(94,1),(102,1)}
       100:{4,6}:{(93,1),(94,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 483 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(92,1)}
         1:{2,3,6}:{(3,1),(6,1),(7,1),(8,1),(65,1),(92,1)}
         2:{3,4,6}:{(6,1),(9,1),(10,1),(32,1),(33,1),(36,1),(65,1)}
         3:{1,3,6}:{(0,1),(1,1),(11,1),(12,1),(13,1),(14,1),(99,1)}
         4:{1,2,5}:{(0,1),(13,1),(15,1),(80,1),(82,1)}
         5:{1,2,7}:{(0,1),(14,1),(100,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1),(18,1),(49,1)}
         7:{2,3,5}:{(1,1),(13,1),(16,1),(18,1),(45,1),(48,1),(80,1)}
         8:{2,3,7}:{(1,1),(14,1),(17,1),(83,1),(100,1)}
         9:{3,5}:{(2,1),(16,1),(20,1)}
        10:{3,4,7}:{(2,1),(17,1),(21,1),(50,1),(83,1)}
        11:{2,3,6}:{(3,1),(22,1),(23,1),(24,1),(89,1),(92,1)}
        12:{1,4,6}:{(3,1),(6,1),(22,1),(25,1),(26,1),(27,1),(62,1)}
        13:{1,3,5}:{(3,1),(4,1),(7,1),(23,1),(25,1),(27,1),(28,1),(64,1),(94,1)}
        14:{1,3,7}:{(3,1),(5,1),(8,1),(24,1),(26,1),(103,1)}
        15:{1,2,4}:{(4,1),(27,1),(28,1),(63,1)}
        16:{2,5}:{(6,1),(9,1),(25,1)}
        17:{2,4,7}:{(6,1),(8,1),(10,1),(26,1),(31,1)}
        18:{2,4}:{(7,1),(27,1),(32,1)}
        19:{3,5,6}:{(9,1),(29,1),(33,1),(34,1),(36,1),(65,1),(69,1)}
        20:{4,5}:{(9,1),(33,1)}
        21:{3,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1)}
        22:{2,4,6}:{(11,1),(12,1),(37,1),(38,1),(39,1),(40,1),(76,1)}
        23:{2,3,5}:{(11,1),(13,1),(38,1),(40,1),(45,1),(75,1),(80,1)}
        24:{2,3,7}:{(11,1),(14,1),(39,1),(98,1),(100,1)}
        25:{1,5}:{(12,1),(16,1),(38,1)}
        26:{1,4,7}:{(12,1),(14,1),(17,1),(39,1),(43,1)}
        27:{1,4}:{(13,1),(18,1),(40,1)}
        28:{1,3}:{(15,1),(45,1)}
        29:{2,5,6}:{(16,1),(19,1),(41,1),(46,1),(47,1),(49,1)}
        30:{2,4,5}:{(16,1),(18,1),(20,1),(42,1),(46,1),(48,1),(80,1)}
        31:{2,5,7}:{(16,1),(17,1),(21,1),(43,1),(49,1)}
        32:{3,4}:{(18,1),(48,1)}
        33:{4,6}:{(19,1),(20,1),(50,1)}
        34:{3,5,7}:{(19,1),(47,1),(50,1),(51,1),(83,1),(84,1)}
        35:{4,5,7}:{(20,1),(21,1),(50,1),(52,1),(84,1)}
        36:{3,6}:{(21,1),(49,1),(52,1)}
        37:{3,4,6}:{(22,1),(53,1),(54,1),(58,1),(85,1),(88,1),(89,1)}
        38:{2,5}:{(22,1),(25,1),(53,1)}
        39:{2,4,7}:{(22,1),(24,1),(26,1),(54,1),(57,1)}
        40:{2,4}:{(23,1),(27,1),(58,1)}
        41:{1,5,6}:{(25,1),(29,1),(55,1),(59,1),(60,1),(62,1)}
        42:{1,4,5}:{(25,1),(27,1),(30,1),(56,1),(59,1),(61,1),(94,1)}
        43:{1,5,7}:{(25,1),(26,1),(31,1),(57,1),(62,1)}
        44:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(61,1),(63,1)}
        45:{2,3}:{(28,1),(63,1),(64,1)}
        46:{2,4,6}:{(29,1),(30,1),(33,1),(59,1),(65,1),(66,1),(92,1)}
        47:{2,5,7}:{(29,1),(34,1),(60,1),(66,1),(67,1)}
        48:{3,5}:{(30,1),(32,1),(65,1)}
        49:{2,6}:{(31,1),(36,1),(62,1)}
        50:{4,7}:{(33,1),(34,1)}
        51:{3,6,7}:{(34,1),(36,1),(67,1),(68,1)}
        52:{4,6}:{(35,1),(36,1),(69,1)}
        53:{3,5}:{(37,1),(38,1),(71,1)}
        54:{3,4,7}:{(37,1),(39,1),(72,1),(95,1),(98,1)}
        55:{2,5,6}:{(38,1),(41,1),(70,1),(73,1),(74,1),(76,1)}
        56:{2,4,5}:{(38,1),(40,1),(42,1),(71,1),(73,1),(75,1),(80,1)}
        57:{2,5,7}:{(38,1),(39,1),(43,1),(72,1),(76,1)}
        58:{3,4}:{(40,1),(75,1)}
        59:{1,4,6}:{(41,1),(42,1),(46,1),(73,1),(77,1),(78,1),(99,1)}
        60:{1,5,7}:{(41,1),(47,1),(74,1),(78,1),(79,1)}
        61:{1,3,5}:{(42,1),(44,1),(48,1),(75,1),(77,1),(80,1)}
        62:{1,6}:{(43,1),(49,1),(76,1)}
        63:{2,4}:{(44,1),(45,1),(80,1),(81,1)}
        64:{1,3}:{(45,1),(81,1),(82,1)}
        65:{3,6}:{(46,1),(48,1),(83,1)}
        66:{2,4,7}:{(46,1),(47,1),(50,1),(78,1),(83,1),(100,1)}
        67:{2,6,7}:{(47,1),(49,1),(51,1),(79,1)}
        68:{4,6,7}:{(50,1),(51,1),(52,1),(84,1)}
        69:{5,6}:{(52,1),(84,1)}
        70:{3,5,6}:{(53,1),(55,1),(85,1),(86,1),(88,1),(89,1),(102,1)}
        71:{4,5}:{(53,1),(85,1)}
        72:{3,5,7}:{(53,1),(54,1),(57,1),(87,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(85,1),(89,1),(90,1),(92,1)}
        74:{2,5,7}:{(55,1),(60,1),(86,1),(90,1),(91,1)}
        75:{3,5}:{(56,1),(58,1),(89,1)}
        76:{2,6}:{(57,1),(62,1),(88,1)}
        77:{1,3,6}:{(59,1),(61,1),(65,1),(89,1),(92,1),(93,1)}
        78:{1,4,7}:{(59,1),(60,1),(66,1),(90,1),(93,1),(103,1)}
        79:{1,6,7}:{(60,1),(62,1),(67,1),(91,1)}
        80:{2,5}:{(61,1),(63,1),(92,1),(94,1)}
        81:{1,4}:{(63,1),(64,1),(94,1)}
        82:{1,2}:{(64,1)}
        83:{3,7}:{(65,1),(66,1)}
        84:{5,7}:{(68,1),(69,1)}
        85:{4,6}:{(70,1),(71,1),(95,1)}
        86:{3,5,7}:{(70,1),(74,1),(95,1),(96,1),(98,1),(104,1)}
        87:{4,5,7}:{(71,1),(72,1),(95,1),(97,1),(104,1)}
        88:{3,6}:{(72,1),(76,1),(97,1)}
        89:{3,6}:{(73,1),(75,1),(98,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(95,1),(98,1),(100,1)}
        91:{2,6,7}:{(74,1),(76,1),(79,1),(96,1)}
        92:{2,6}:{(77,1),(80,1),(99,1),(100,1)}
        93:{1,3,7}:{(77,1),(78,1),(83,1),(98,1),(100,1)}
        94:{1,5}:{(80,1),(81,1),(99,1)}
        95:{4,7}:{(85,1),(86,1)}
        96:{3,6,7}:{(86,1),(88,1),(91,1),(101,1)}
        97:{4,6}:{(87,1),(88,1),(102,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(94,1),(103,1)}
       100:{2,7}:{(92,1),(93,1),(103,1)}
       101:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       102:{5,6}:{(97,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 484 :   0:{1,2,7}:{(3,1),(4,1),(102,1)}
         1:{2,3,7}:{(3,1),(5,1),(6,1),(89,1),(102,1)}
         2:{3,4,7}:{(5,1),(7,1),(8,1),(62,1),(89,1)}
         3:{1,3,7}:{(0,1),(1,1),(9,1),(10,1),(11,1),(104,1)}
         4:{1,2,6}:{(0,1),(11,1),(12,1),(97,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(15,1),(76,1),(97,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(18,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(18,1),(43,1),(47,1),(76,1)}
         9:{2,3,7}:{(3,1),(19,1),(20,1),(101,1),(102,1)}
        10:{1,4,7}:{(3,1),(5,1),(19,1),(21,1),(22,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(20,1),(22,1),(23,1),(103,1)}
        12:{1,2,5}:{(4,1),(23,1),(24,1),(86,1),(88,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(25,1),(26,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(27,1)}
        15:{2,3,5}:{(6,1),(23,1),(26,1),(27,1),(57,1),(60,1),(86,1)}
        16:{4,5,7}:{(7,1),(28,1),(31,1),(61,1),(62,1)}
        17:{3,6}:{(7,1),(25,1),(28,1)}
        18:{3,5}:{(8,1),(26,1),(31,1)}
        19:{2,4,7}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        20:{2,3,6}:{(9,1),(11,1),(34,1),(35,1),(95,1),(97,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(36,1),(37,1)}
        22:{1,4,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(37,1),(38,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(35,1),(37,1),(38,1),(39,1),(74,1),(98,1)}
        24:{1,2,4}:{(12,1),(38,1),(39,1),(73,1)}
        25:{2,6}:{(13,1),(17,1),(36,1)}
        26:{2,5}:{(14,1),(18,1),(37,1)}
        27:{2,4}:{(15,1),(38,1),(43,1)}
        28:{4,6}:{(16,1),(17,1),(45,1)}
        29:{3,6,7}:{(17,1),(40,1),(44,1),(46,1)}
        30:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(46,1),(47,1),(76,1)}
        31:{4,5}:{(18,1),(47,1)}
        32:{3,4,7}:{(19,1),(48,1),(49,1),(100,1),(101,1)}
        33:{2,5,7}:{(19,1),(21,1),(48,1),(50,1),(51,1)}
        34:{2,4,6}:{(19,1),(20,1),(22,1),(49,1),(50,1),(51,1),(52,1)}
        35:{2,3,5}:{(20,1),(23,1),(51,1),(52,1),(57,1),(83,1),(86,1)}
        36:{1,6}:{(21,1),(25,1),(50,1)}
        37:{1,5}:{(22,1),(26,1),(51,1)}
        38:{1,4}:{(23,1),(27,1),(52,1)}
        39:{1,3}:{(24,1),(57,1)}
        40:{2,6,7}:{(25,1),(29,1),(53,1),(58,1)}
        41:{2,5,6}:{(25,1),(26,1),(30,1),(54,1),(58,1),(59,1)}
        42:{2,4,5}:{(26,1),(27,1),(31,1),(55,1),(59,1),(60,1),(86,1)}
        43:{3,4}:{(27,1),(60,1)}
        44:{4,6,7}:{(28,1),(29,1),(61,1),(62,1)}
        45:{5,6}:{(28,1),(61,1)}
        46:{3,5,7}:{(29,1),(30,1),(58,1),(61,1),(62,1),(89,1)}
        47:{4,6}:{(30,1),(31,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(63,1),(64,1),(65,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        50:{2,6}:{(33,1),(36,1),(64,1)}
        51:{2,5}:{(34,1),(37,1),(65,1)}
        52:{2,4}:{(35,1),(38,1),(69,1)}
        53:{1,6,7}:{(36,1),(40,1),(66,1),(70,1)}
        54:{1,5,6}:{(36,1),(37,1),(41,1),(67,1),(70,1),(71,1)}
        55:{1,4,5}:{(37,1),(38,1),(42,1),(68,1),(71,1),(72,1),(98,1)}
        56:{1,3,4}:{(38,1),(39,1),(43,1),(69,1),(72,1),(73,1)}
        57:{2,3}:{(39,1),(73,1),(74,1)}
        58:{2,5,7}:{(40,1),(41,1),(46,1),(70,1),(75,1)}
        59:{2,4,6}:{(41,1),(42,1),(47,1),(71,1),(75,1),(76,1),(97,1)}
        60:{3,5}:{(42,1),(43,1),(76,1)}
        61:{5,7}:{(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{4,5,7}:{(48,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(48,1),(50,1),(77,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{2,6,7}:{(50,1),(53,1),(78,1),(81,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(51,1),(52,1),(55,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(52,1),(83,1)}
        70:{1,5,7}:{(53,1),(54,1),(58,1),(81,1),(84,1)}
        71:{1,4,6}:{(54,1),(55,1),(59,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(55,1),(56,1),(60,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(56,1),(57,1),(86,1),(87,1)}
        74:{1,3}:{(57,1),(87,1),(88,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(59,1),(60,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 485 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 486 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 487 :  0:{1,2}:{(3,1)}
        1:{2,3}:{(3,1),(4,1)}
        2:{3,4}:{(4,1),(5,1)}
        3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
        4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
        6:{2,3}:{(3,1),(11,1)}
        7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
        8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
        9:{4,5}:{(5,1),(14,1)}
       10:{3,6}:{(5,1),(13,1),(14,1),(15,1)}
       11:{2,4}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{2,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,6}:{(9,1),(10,1),(20,1),(21,1)}
       15:{3,7}:{(10,1),(19,1),(21,1)}
       16:{3,4}:{(11,1),(22,1)}
       17:{2,5}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{5,6}:{(14,1),(25,1)}
       21:{4,7}:{(14,1),(15,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(26,1),(27,1)}
       23:{2,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,7}:{(18,1),(19,1),(28,1)}
       25:{5,7}:{(20,1),(21,1),(29,1)}
       26:{4,5}:{(22,1),(30,1)}
       27:{3,6}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,7}:{(23,1),(24,1),(31,1)}
       29:{6,7}:{(25,1)}
       30:{4,6}:{(26,1),(27,1),(32,1),(33,1)}
       31:{3,7}:{(27,1),(28,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 488 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 489 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 490 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 491 :   0:{2,4,5,6}:{(1,1),(3,1),(4,1),(20,1),(24,1),(64,1),(121,1),(138,1),(213,1),(309,1),(323,1),(423,1)}
         1:{1,4,5,6}:{(0,1),(5,1),(7,1),(8,1),(38,1),(45,1),(83,1),(177,1),(182,1),(252,1),(279,1)}
         2:{2,5,6,7}:{(6,1),(9,1),(11,1),(104,1),(260,1),(381,1)}
         3:{2,4,5,7}:{(0,1),(7,1),(11,1),(12,1),(37,1),(42,1),(44,1),(104,1),(162,1),(260,1),(377,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(163,1),(263,1),(379,1)}
         5:{2,4,5,6}:{(1,1),(15,1),(16,1),(20,1),(52,1),(73,1),(112,1),(151,1),(200,1),(232,1),(246,1),(346,1)}
         6:{1,5,6,7}:{(2,1),(14,1),(18,1),(145,1),(207,1),(336,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(15,1),(18,1),(19,1),(61,1),(72,1),(120,1),(145,1),(207,1)}
         8:{1,3,5,6}:{(1,1),(4,1),(16,1),(17,1),(19,1),(20,1),(223,1),(334,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(25,1),(70,1),(318,1),(434,1)}
        10:{3,4,6}:{(4,1),(21,1),(23,1),(24,1),(423,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(18,1),(22,1),(25,1),(60,1),(323,1)}
        12:{3,5,7}:{(3,1),(4,1),(23,1),(25,1),(209,1)}
        13:{2,3,5,6}:{(4,1),(20,1),(24,1),(26,1),(27,1),(57,1),(63,1),(135,1),(138,1)}
        14:{2,5,6,7}:{(6,1),(28,1),(30,1),(160,1),(190,1),(302,1)}
        15:{2,4,5,7}:{(5,1),(7,1),(30,1),(31,1),(37,1),(80,1),(82,1),(106,1),(160,1),(190,1),(298,1)}
        16:{3,5,6}:{(5,1),(29,1),(31,1),(107,1),(193,1),(300,1)}
        17:{1,3,4,6}:{(8,1),(10,1),(29,1),(33,1),(34,1),(35,1),(45,1),(83,1),(90,1),(107,1),(163,1)}
        18:{1,4,6,7}:{(6,1),(7,1),(11,1),(30,1),(36,1),(93,1),(279,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(12,1),(31,1),(34,1),(36,1),(37,1)}
        20:{2,5,6}:{(8,1),(35,1),(37,1),(38,1),(275,1),(391,1)}
        21:{3,4,5}:{(10,1),(40,1),(263,1),(395,1),(471,1)}
        22:{4,6,7}:{(9,1),(42,1),(377,1),(479,1)}
        23:{3,4,7}:{(10,1),(12,1),(44,1),(377,1)}
        24:{2,4,6}:{(10,1),(13,1),(40,1),(44,1),(45,1)}
        25:{3,6,7}:{(11,1),(12,1),(379,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(37,1),(44,1),(46,1),(47,1),(89,1),(104,1)}
        27:{1,3,5,6}:{(13,1),(38,1),(45,1),(47,1),(48,1),(90,1),(97,1),(107,1),(179,1),(182,1),(288,1)}
        28:{3,5,6,7}:{(14,1),(50,1),(53,1),(118,1),(241,1),(357,1)}
        29:{3,4,6}:{(16,1),(49,1),(51,1),(52,1),(346,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(18,1),(50,1),(53,1),(60,1),(246,1)}
        31:{3,5,7}:{(15,1),(16,1),(51,1),(53,1),(147,1)}
        32:{2,3,5,6}:{(16,1),(20,1),(52,1),(54,1),(55,1),(57,1),(111,1),(197,1),(200,1)}
        33:{1,3,4,5}:{(17,1),(21,1),(49,1),(56,1),(67,1),(115,1),(126,1),(141,1),(203,1),(217,1),(223,1)}
        34:{1,3,4,7}:{(17,1),(19,1),(23,1),(51,1),(58,1),(72,1),(120,1),(128,1),(147,1),(209,1)}
        35:{2,4,6}:{(17,1),(20,1),(56,1),(57,1),(58,1),(59,1),(129,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(25,1),(53,1),(60,1),(334,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(60,1),(61,1)}
        38:{1,5,6}:{(20,1),(59,1),(61,1),(331,1),(442,1)}
        39:{3,4,5,7}:{(21,1),(23,1),(65,1),(66,1),(70,1),(320,1),(433,1),(445,1),(515,1)}
        40:{2,4,5}:{(21,1),(24,1),(63,1),(67,1),(339,1)}
        41:{2,3,4,6}:{(24,1),(57,1),(63,1),(68,1),(69,1),(125,1),(135,1),(210,1),(221,1),(236,1),(339,1),(447,1)}
        42:{4,5,7}:{(22,1),(64,1),(70,1)}
        43:{3,4,6,7}:{(22,1),(23,1),(25,1),(65,1),(70,1),(71,1)}
        44:{2,4,7}:{(23,1),(24,1),(26,1),(72,1)}
        45:{1,4,6}:{(24,1),(27,1),(67,1),(72,1),(73,1),(346,1)}
        46:{2,3,6,7}:{(25,1),(26,1),(60,1),(71,1),(74,1),(135,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(61,1),(72,1),(74,1),(75,1),(128,1),(145,1),(147,1),(241,1)}
        48:{2,5,6}:{(27,1),(73,1),(75,1),(129,1),(137,1),(229,1)}
        49:{3,4,5}:{(29,1),(78,1),(193,1),(405,1),(461,1)}
        50:{4,6,7}:{(28,1),(80,1),(298,1),(413,1)}
        51:{3,4,7}:{(29,1),(31,1),(82,1),(298,1)}
        52:{2,4,6}:{(29,1),(32,1),(78,1),(82,1),(83,1)}
        53:{3,6,7}:{(30,1),(31,1),(300,1)}
        54:{2,3,5,7}:{(31,1),(32,1),(37,1),(82,1),(84,1),(85,1),(89,1),(160,1)}
        55:{1,3,5,6}:{(32,1),(38,1),(83,1),(85,1),(86,1),(90,1),(153,1),(163,1),(249,1),(252,1),(367,1)}
        56:{2,4,5}:{(33,1),(35,1),(87,1),(88,1),(168,1),(270,1),(275,1)}
        57:{2,3,6}:{(35,1),(87,1),(89,1),(90,1),(107,1),(163,1)}
        58:{2,4,7}:{(34,1),(35,1),(37,1),(89,1),(91,1),(171,1)}
        59:{1,4,6}:{(35,1),(38,1),(88,1),(90,1),(91,1)}
        60:{2,6,7}:{(36,1),(37,1),(93,1),(391,1)}
        61:{1,5,7}:{(37,1),(38,1),(91,1),(93,1)}
        62:{1,2,5,6}:{(38,1),(48,1),(86,1),(92,1),(94,1),(95,1),(170,1),(178,1),(248,1),(275,1),(282,1),(361,1),(390,1),(391,1),(409,1),(475,1)}
        63:{2,3,5}:{(40,1),(41,1),(97,1),(263,1),(275,1),(489,1)}
        64:{4,5,6}:{(42,1),(98,1),(479,1),(533,1)}
        65:{3,4,6}:{(39,1),(98,1),(99,1),(379,1),(479,1)}
        66:{2,4,5,7}:{(39,1),(40,1),(44,1),(96,1),(99,1),(100,1),(104,1),(397,1),(489,1)}
        67:{1,4,5}:{(40,1),(45,1),(97,1),(101,1),(284,1),(405,1)}
        68:{2,3,4,7}:{(41,1),(44,1),(89,1),(96,1),(102,1),(262,1),(274,1),(292,1),(397,1)}
        69:{1,3,4,6}:{(41,1),(45,1),(90,1),(97,1),(102,1),(103,1),(107,1),(167,1),(179,1),(185,1),(187,1),(273,1),(284,1),(289,1),(399,1)}
        70:{3,5,7}:{(42,1),(43,1),(98,1),(104,1)}
        71:{2,4,6,7}:{(43,1),(44,1),(46,1),(99,1),(104,1),(105,1)}
        72:{1,4,7}:{(44,1),(45,1),(47,1),(106,1),(298,1)}
        73:{2,4,6}:{(45,1),(48,1),(101,1),(106,1),(107,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(93,1),(105,1),(108,1),(179,1),(191,1)}
        75:{2,5,7}:{(47,1),(48,1),(106,1),(108,1),(171,1)}
        76:{2,3,5,6}:{(48,1),(95,1),(107,1),(109,1),(110,1),(172,1),(181,1),(193,1),(275,1),(285,1),(288,1),(300,1),(302,1),(360,1),(391,1),(402,1),(462,1),(475,1),(523,1),(524,1),(546,1)}
        77:{3,4,5,7}:{(49,1),(51,1),(113,1),(114,1),(118,1),(243,1),(356,1),(497,1),(537,1)}
        78:{2,4,5}:{(49,1),(52,1),(111,1),(115,1),(416,1)}
        79:{2,3,4,6}:{(52,1),(57,1),(111,1),(116,1),(117,1),(125,1),(148,1),(197,1),(221,1),(313,1),(416,1),(499,1)}
        80:{4,5,7}:{(50,1),(112,1),(118,1)}
        81:{3,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(118,1),(119,1)}
        82:{2,4,7}:{(51,1),(52,1),(54,1),(120,1)}
        83:{1,4,6}:{(52,1),(55,1),(115,1),(120,1),(121,1),(423,1)}
        84:{2,3,6,7}:{(53,1),(54,1),(60,1),(119,1),(122,1),(197,1)}
        85:{1,3,5,7}:{(54,1),(55,1),(61,1),(120,1),(122,1),(123,1),(128,1),(207,1),(209,1),(318,1)}
        86:{2,5,6}:{(55,1),(121,1),(123,1),(129,1),(199,1),(306,1)}
        87:{2,3,5}:{(56,1),(57,1),(125,1),(126,1),(141,1),(203,1)}
        88:{1,4,5}:{(56,1),(59,1),(126,1),(327,1),(331,1)}
        89:{2,3,7}:{(57,1),(58,1),(128,1),(147,1),(209,1)}
        90:{1,3,6}:{(57,1),(59,1),(126,1),(128,1),(129,1)}
        91:{1,4,7}:{(58,1),(59,1),(61,1),(128,1)}
        92:{1,2,4,6}:{(59,1),(62,1),(73,1),(121,1),(127,1),(129,1),(130,1),(131,1),(134,1),(221,1),(440,1),(449,1),(501,1),(513,1)}
        93:{1,6,7}:{(60,1),(61,1),(442,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(75,1),(123,1),(130,1),(132,1),(133,1),(218,1),(332,1),(443,1),(458,1),(510,1)}
        95:{1,3,5,6}:{(62,1),(76,1),(124,1),(131,1),(133,1),(134,1),(219,1),(223,1),(228,1),(305,1),(331,1),(334,1),(336,1),(340,1),(417,1),(442,1),(450,1),(502,1)}
        96:{2,3,5,7}:{(63,1),(66,1),(68,1),(135,1),(136,1),(320,1),(332,1)}
        97:{1,3,5}:{(63,1),(67,1),(69,1),(137,1),(141,1),(331,1),(347,1),(450,1)}
        98:{3,5,6}:{(64,1),(65,1),(70,1),(138,1),(515,1)}
        99:{2,4,6}:{(65,1),(66,1),(135,1),(138,1),(139,1)}
       100:{1,4,5,7}:{(66,1),(67,1),(72,1),(136,1),(139,1),(140,1),(145,1),(341,1),(450,1)}
       101:{2,4,5}:{(67,1),(73,1),(137,1),(141,1),(231,1)}
       102:{1,3,4,7}:{(68,1),(69,1),(72,1),(128,1),(136,1),(143,1),(147,1),(234,1),(237,1),(330,1),(341,1)}
       103:{2,4,6}:{(69,1),(129,1),(137,1),(143,1),(144,1),(214,1),(229,1),(231,1)}
       104:{2,5,7}:{(70,1),(71,1),(138,1),(145,1)}
       105:{1,4,6,7}:{(71,1),(72,1),(74,1),(139,1),(145,1),(146,1)}
       106:{2,4,7}:{(72,1),(73,1),(75,1),(147,1)}
       107:{3,6}:{(73,1),(141,1),(147,1)}
       108:{2,6,7}:{(74,1),(75,1),(229,1)}
       109:{2,3,5,7}:{(75,1),(76,1),(133,1),(147,1),(149,1),(150,1),(220,1),(241,1),(243,1),(245,1),(332,1),(510,1),(539,1),(551,1)}
       110:{2,4,6}:{(76,1),(134,1),(148,1),(150,1),(151,1),(231,1),(346,1),(416,1),(550,1)}
       111:{2,3,5}:{(78,1),(79,1),(153,1),(193,1),(275,1),(524,1)}
       112:{4,5,6}:{(80,1),(154,1),(413,1),(545,1)}
       113:{3,4,6}:{(77,1),(154,1),(155,1),(300,1),(413,1)}
       114:{2,4,5,7}:{(77,1),(78,1),(82,1),(152,1),(155,1),(156,1),(160,1),(463,1),(524,1)}
       115:{1,4,5}:{(78,1),(83,1),(153,1),(157,1),(363,1),(471,1)}
       116:{2,3,4,7}:{(79,1),(82,1),(89,1),(152,1),(158,1),(192,1),(274,1),(371,1),(463,1)}
       117:{1,3,4,6}:{(79,1),(83,1),(90,1),(153,1),(158,1),(159,1),(163,1),(167,1),(249,1),(255,1),(257,1),(273,1),(363,1),(368,1),(465,1)}
       118:{3,5,7}:{(80,1),(81,1),(154,1),(160,1)}
       119:{2,4,6,7}:{(81,1),(82,1),(84,1),(155,1),(160,1),(161,1)}
       120:{1,4,7}:{(82,1),(83,1),(85,1),(162,1),(377,1)}
       121:{2,4,6}:{(83,1),(86,1),(157,1),(162,1),(163,1)}
       122:{1,3,6,7}:{(84,1),(85,1),(93,1),(161,1),(164,1),(249,1),(261,1)}
       123:{2,5,7}:{(85,1),(86,1),(162,1),(164,1),(171,1)}
       124:{2,3,5,6}:{(86,1),(95,1),(163,1),(165,1),(166,1),(172,1),(251,1),(263,1),(275,1),(281,1),(364,1),(367,1),(379,1),(381,1),(391,1),(396,1),(409,1),(468,1),(488,1),(489,1),(534,1)}
       125:{2,3,4}:{(87,1),(167,1),(185,1),(255,1),(270,1),(383,1)}
       126:{1,3,5}:{(87,1),(88,1),(90,1),(167,1),(168,1)}
       127:{1,2,4,5}:{(88,1),(92,1),(101,1),(157,1),(168,1),(169,1),(177,1),(178,1),(248,1),(267,1),(270,1),(275,1),(284,1),(363,1),(386,1),(398,1),(464,1),(481,1)}
       128:{1,3,7}:{(89,1),(90,1),(91,1),(171,1)}
       129:{2,6}:{(90,1),(168,1),(171,1)}
       130:{1,2,4,7}:{(91,1),(92,1),(94,1),(106,1),(162,1),(171,1),(173,1),(176,1),(274,1),(484,1),(491,1),(526,1),(532,1)}
       131:{1,3,6}:{(92,1),(107,1),(163,1),(169,1),(172,1),(173,1),(488,1),(523,1)}
       132:{1,2,6,7}:{(93,1),(94,1),(108,1),(164,1),(175,1),(282,1),(361,1),(391,1),(485,1),(496,1),(531,1)}
       133:{1,3,5,7}:{(94,1),(95,1),(109,1),(165,1),(173,1),(175,1),(176,1),(272,1),(278,1),(389,1)}
       134:{1,4,6}:{(95,1),(110,1),(166,1),(176,1),(177,1),(284,1),(363,1)}
       135:{2,3,6}:{(96,1),(99,1),(179,1),(379,1),(391,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(100,1),(102,1),(179,1),(180,1),(184,1),(389,1)}
       137:{2,5}:{(97,1),(103,1)}
       138:{2,5,6}:{(98,1),(99,1),(104,1),(182,1),(489,1)}
       139:{1,4,6}:{(99,1),(100,1),(179,1),(182,1),(183,1)}
       140:{2,4,5,7}:{(100,1),(101,1),(106,1),(180,1),(183,1),(184,1),(190,1),(286,1),(298,1),(402,1),(405,1)}
       141:{3,5}:{(101,1),(107,1),(185,1)}
       142:{1,2,4,6}:{(103,1),(170,1),(178,1),(186,1),(187,1),(267,1),(273,1),(282,1),(284,1),(293,1),(399,1)}
       143:{2,4,7}:{(102,1),(103,1),(171,1),(180,1),(188,1)}
       144:{2,3,6}:{(103,1),(107,1),(181,1),(187,1),(188,1),(268,1)}
       145:{1,5,7}:{(104,1),(105,1),(182,1),(190,1)}
       146:{2,4,6,7}:{(105,1),(106,1),(108,1),(183,1),(190,1),(191,1),(298,1)}
       147:{3,7}:{(106,1),(107,1)}
       148:{3,4,6}:{(107,1),(110,1),(185,1),(192,1),(193,1),(300,1),(461,1),(523,1)}
       149:{2,3,6,7}:{(108,1),(109,1),(175,1),(191,1),(194,1),(285,1),(300,1),(391,1),(462,1),(531,1),(547,1)}
       150:{2,4,7}:{(109,1),(110,1),(176,1),(192,1),(298,1),(552,1)}
       151:{2,4,5}:{(110,1),(177,1),(193,1),(275,1),(402,1),(405,1),(524,1),(545,1)}
       152:{2,3,5,7}:{(111,1),(114,1),(116,1),(197,1),(198,1),(243,1),(332,1)}
       153:{1,3,5}:{(111,1),(115,1),(117,1),(199,1),(203,1),(331,1),(424,1),(502,1)}
       154:{3,5,6}:{(112,1),(113,1),(118,1),(200,1),(537,1)}
       155:{2,4,6}:{(113,1),(114,1),(197,1),(200,1),(201,1)}
       156:{1,4,5,7}:{(114,1),(115,1),(120,1),(198,1),(201,1),(202,1),(207,1),(418,1),(502,1)}
       157:{2,4,5}:{(115,1),(121,1),(199,1),(203,1),(308,1)}
       158:{1,3,4,7}:{(116,1),(117,1),(120,1),(128,1),(198,1),(205,1),(209,1),(311,1),(314,1),(330,1),(418,1)}
       159:{2,4,6}:{(117,1),(129,1),(199,1),(205,1),(206,1),(214,1),(306,1),(308,1)}
       160:{2,5,7}:{(118,1),(119,1),(200,1),(207,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(122,1),(201,1),(207,1),(208,1)}
       162:{2,4,7}:{(120,1),(121,1),(123,1),(209,1)}
       163:{3,6}:{(121,1),(203,1),(209,1)}
       164:{2,6,7}:{(122,1),(123,1),(306,1)}
       165:{2,3,5,7}:{(123,1),(124,1),(133,1),(209,1),(211,1),(212,1),(220,1),(318,1),(320,1),(322,1),(332,1),(458,1),(517,1),(544,1)}
       166:{2,4,6}:{(124,1),(134,1),(210,1),(212,1),(213,1),(308,1),(339,1),(423,1),(543,1)}
       167:{1,3,4}:{(125,1),(126,1),(214,1),(325,1),(327,1)}
       168:{2,5}:{(126,1),(129,1),(214,1)}
       169:{1,3,5}:{(127,1),(131,1),(141,1),(203,1),(216,1),(217,1),(325,1),(446,1),(498,1)}
       170:{1,2,6}:{(129,1),(215,1),(218,1),(219,1),(513,1)}
       171:{2,7}:{(128,1),(129,1)}
       172:{2,3,6}:{(129,1),(131,1),(216,1),(219,1),(220,1),(221,1),(513,1)}
       173:{1,3,7}:{(130,1),(131,1),(147,1),(209,1),(220,1),(517,1),(539,1)}
       174:{1,3,4,6}:{(131,1),(134,1),(148,1),(210,1),(217,1),(221,1),(222,1),(223,1),(334,1)}
       175:{1,3,6,7}:{(132,1),(133,1),(149,1),(211,1),(224,1),(334,1),(340,1),(417,1),(442,1)}
       176:{1,4,7}:{(133,1),(134,1),(150,1),(212,1)}
       177:{1,4,5}:{(134,1),(151,1),(213,1),(223,1),(331,1),(450,1),(502,1)}
       178:{1,2,5}:{(137,1),(142,1),(228,1),(331,1),(351,1),(450,1)}
       179:{1,3,6}:{(135,1),(136,1),(139,1),(229,1),(233,1),(442,1)}
       180:{2,5,7}:{(136,1),(137,1),(143,1),(229,1)}
       181:{2,3,5}:{(137,1),(141,1),(144,1),(228,1),(231,1)}
       182:{1,5,6}:{(138,1),(139,1),(145,1),(232,1),(450,1)}
       183:{2,4,6}:{(139,1),(140,1),(229,1),(232,1),(233,1),(346,1)}
       184:{3,5,7}:{(140,1),(141,1),(147,1),(233,1),(234,1),(347,1)}
       185:{3,4}:{(141,1),(231,1)}
       186:{1,2,4,7}:{(142,1),(143,1),(218,1),(227,1),(237,1),(330,1),(341,1),(350,1)}
       187:{1,3,6}:{(142,1),(144,1),(228,1),(236,1),(237,1),(325,1)}
       188:{2,3,7}:{(143,1),(144,1),(147,1),(237,1)}
       189:{2,3,4,6}:{(144,1),(148,1),(221,1),(231,1),(238,1),(239,1),(240,1),(326,1),(343,1),(345,1),(354,1),(439,1)}
       190:{2,5,7}:{(145,1),(146,1),(232,1),(241,1)}
       191:{3,6,7}:{(146,1),(147,1),(233,1),(241,1)}
       192:{3,4,7}:{(147,1),(148,1),(150,1),(243,1),(539,1)}
       193:{3,5}:{(148,1),(151,1)}
       194:{2,4,6,7}:{(149,1),(150,1),(224,1),(242,1),(245,1),(246,1),(343,1),(499,1)}
       195:{2,4,5,7}:{(150,1),(151,1),(225,1),(243,1),(245,1),(246,1),(332,1),(356,1)}
       196:{2,4,5,6}:{(151,1),(226,1),(244,1),(246,1),(247,1),(333,1),(345,1),(453,1),(455,1),(501,1),(540,1),(550,1)}
       197:{2,3,6}:{(152,1),(155,1),(249,1),(300,1),(391,1)}
       198:{1,3,5,7}:{(152,1),(153,1),(156,1),(158,1),(249,1),(250,1),(254,1),(389,1)}
       199:{2,5}:{(153,1),(159,1)}
       200:{2,5,6}:{(154,1),(155,1),(160,1),(252,1),(524,1)}
       201:{1,4,6}:{(155,1),(156,1),(249,1),(252,1),(253,1)}
       202:{2,4,5,7}:{(156,1),(157,1),(162,1),(250,1),(253,1),(254,1),(260,1),(365,1),(377,1),(468,1),(471,1)}
       203:{3,5}:{(157,1),(163,1),(255,1)}
       204:{1,2,4,6}:{(159,1),(170,1),(248,1),(256,1),(257,1),(267,1),(273,1),(361,1),(363,1),(372,1),(465,1)}
       205:{2,4,7}:{(158,1),(159,1),(171,1),(250,1),(258,1)}
       206:{2,3,6}:{(159,1),(163,1),(251,1),(257,1),(258,1),(268,1)}
       207:{1,5,7}:{(160,1),(161,1),(252,1),(260,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(164,1),(253,1),(260,1),(261,1),(377,1)}
       209:{3,7}:{(162,1),(163,1)}
       210:{3,4,6}:{(163,1),(166,1),(255,1),(262,1),(263,1),(379,1),(395,1),(488,1)}
       211:{2,3,6,7}:{(164,1),(165,1),(175,1),(261,1),(264,1),(364,1),(379,1),(391,1),(396,1),(496,1),(535,1)}
       212:{2,4,7}:{(165,1),(166,1),(176,1),(262,1),(377,1),(549,1)}
       213:{2,4,5}:{(166,1),(177,1),(263,1),(275,1),(468,1),(471,1),(489,1),(533,1)}
       214:{2,4}:{(167,1),(168,1),(268,1)}
       215:{1,2,5}:{(168,1),(170,1),(267,1),(269,1),(481,1)}
       216:{2,3,5}:{(168,1),(169,1),(172,1),(268,1),(269,1),(270,1),(275,1),(383,1),(481,1)}
       217:{1,3,4}:{(169,1),(185,1),(255,1),(270,1),(284,1),(363,1),(395,1),(461,1)}
       218:{1,2,7}:{(170,1),(171,1),(272,1),(532,1)}
       219:{1,3,6}:{(170,1),(172,1),(269,1),(272,1),(273,1)}
       220:{2,3,7}:{(171,1),(172,1),(173,1),(272,1),(274,1),(532,1)}
       221:{2,4,6}:{(172,1),(174,1),(270,1),(273,1),(274,1),(275,1),(391,1)}
       222:{1,3,4,7}:{(173,1),(174,1),(176,1),(192,1),(262,1),(274,1),(276,1)}
       223:{1,3,5}:{(174,1),(177,1),(193,1),(263,1),(275,1)}
       224:{1,4,6,7}:{(175,1),(176,1),(194,1),(264,1),(278,1),(279,1),(399,1),(465,1)}
       225:{1,4,5,7}:{(176,1),(177,1),(195,1),(265,1),(276,1),(278,1),(279,1),(389,1)}
       226:{1,4,5,6}:{(177,1),(196,1),(266,1),(277,1),(279,1),(280,1),(390,1),(401,1),(467,1),(492,1),(527,1)}
       227:{1,2,5,7}:{(178,1),(180,1),(186,1),(282,1),(283,1),(389,1),(408,1)}
       228:{1,3,5}:{(178,1),(181,1),(187,1),(281,1),(284,1)}
       229:{2,6}:{(179,1),(180,1)}
       230:{2,3,5,7}:{(180,1),(181,1),(184,1),(188,1),(283,1),(285,1),(286,1),(402,1)}
       231:{2,4}:{(181,1),(185,1),(284,1)}
       232:{2,5,6}:{(182,1),(183,1),(190,1),(288,1),(402,1)}
       233:{3,6}:{(183,1),(184,1)}
       234:{3,4,7}:{(184,1),(185,1),(286,1),(289,1),(298,1)}
       235:{3,4,5}:{(185,1),(193,1),(287,1),(291,1),(545,1)}
       236:{2,3,6}:{(187,1),(281,1),(292,1),(293,1),(383,1),(488,1)}
       237:{1,3,7}:{(186,1),(187,1),(188,1),(292,1)}
       238:{1,3,4,6}:{(187,1),(189,1),(273,1),(284,1),(293,1),(294,1),(295,1),(384,1),(395,1),(399,1),(401,1),(410,1),(482,1),(486,1),(488,1)}
       239:{2,3,4,7}:{(188,1),(189,1),(192,1),(274,1),(286,1),(294,1),(296,1),(404,1),(483,1)}
       240:{2,3,5}:{(189,1),(193,1),(275,1),(287,1),(295,1),(402,1)}
       241:{3,5,7}:{(190,1),(191,1),(288,1),(298,1)}
       242:{3,4,6,7}:{(191,1),(192,1),(194,1),(289,1),(298,1),(299,1),(300,1),(413,1),(521,1),(547,1),(552,1)}
       243:{3,5,7}:{(192,1),(193,1),(195,1),(300,1)}
       244:{3,5,6}:{(193,1),(196,1),(291,1),(300,1),(301,1),(523,1)}
       245:{2,5,7}:{(194,1),(278,1),(299,1),(302,1),(402,1),(524,1)}
       246:{2,4,6}:{(195,1),(279,1),(300,1),(302,1),(391,1),(413,1)}
       247:{2,4,5,7}:{(196,1),(280,1),(301,1),(303,1),(392,1),(404,1),(494,1),(495,1),(526,1),(548,1),(552,1)}
       248:{1,2,5}:{(199,1),(204,1),(305,1),(331,1),(428,1),(502,1)}
       249:{1,3,6}:{(197,1),(198,1),(201,1),(306,1),(310,1),(442,1)}
       250:{2,5,7}:{(198,1),(199,1),(205,1),(306,1)}
       251:{2,3,5}:{(199,1),(203,1),(206,1),(305,1),(308,1)}
       252:{1,5,6}:{(200,1),(201,1),(207,1),(309,1),(502,1)}
       253:{2,4,6}:{(201,1),(202,1),(306,1),(309,1),(310,1),(423,1)}
       254:{3,5,7}:{(202,1),(203,1),(209,1),(310,1),(311,1),(424,1)}
       255:{3,4}:{(203,1),(308,1)}
       256:{1,2,4,7}:{(204,1),(205,1),(218,1),(304,1),(314,1),(330,1),(418,1),(427,1)}
       257:{1,3,6}:{(204,1),(206,1),(305,1),(313,1),(314,1),(325,1)}
       258:{2,3,7}:{(205,1),(206,1),(209,1),(314,1)}
       259:{2,3,4,6}:{(206,1),(210,1),(221,1),(308,1),(315,1),(316,1),(317,1),(326,1),(420,1),(422,1),(431,1),(439,1)}
       260:{2,5,7}:{(207,1),(208,1),(309,1),(318,1)}
       261:{3,6,7}:{(208,1),(209,1),(310,1),(318,1)}
       262:{3,4,7}:{(209,1),(210,1),(212,1),(320,1),(517,1)}
       263:{3,5}:{(210,1),(213,1)}
       264:{2,4,6,7}:{(211,1),(212,1),(224,1),(319,1),(322,1),(323,1),(420,1),(447,1)}
       265:{2,4,5,7}:{(212,1),(213,1),(225,1),(320,1),(322,1),(323,1),(332,1),(433,1)}
       266:{2,4,5,6}:{(213,1),(226,1),(321,1),(323,1),(324,1),(333,1),(422,1),(449,1),(505,1),(507,1),(518,1),(543,1)}
       267:{1,2,4}:{(214,1),(215,1),(325,1),(327,1),(437,1)}
       268:{2,3}:{(214,1),(325,1)}
       269:{1,3,5}:{(215,1),(216,1),(219,1),(325,1),(327,1),(331,1)}
       270:{2,4}:{(216,1),(217,1),(327,1)}
       271:{1,3,4,5}:{(217,1),(223,1),(235,1),(312,1),(328,1),(329,1),(342,1),(419,1),(438,1),(446,1),(498,1)}
       272:{1,3,7}:{(218,1),(219,1),(220,1),(330,1)}
       273:{1,4,6}:{(219,1),(221,1),(327,1),(330,1),(331,1),(442,1)}
       274:{2,4,7}:{(220,1),(221,1),(222,1),(330,1),(332,1)}
       275:{2,5}:{(221,1),(223,1),(331,1)}
       276:{1,3,5,7}:{(222,1),(223,1),(225,1),(243,1),(320,1),(332,1),(334,1)}
       277:{1,3,5,6}:{(223,1),(226,1),(244,1),(321,1),(329,1),(333,1),(334,1),(335,1)}
       278:{1,5,7}:{(224,1),(245,1),(322,1),(336,1),(450,1),(502,1)}
       279:{1,4,6}:{(225,1),(246,1),(323,1),(334,1),(336,1),(442,1)}
       280:{1,4,5,7}:{(226,1),(247,1),(324,1),(335,1),(337,1),(443,1),(452,1),(504,1),(520,1),(542,1)}
       281:{2,3,5}:{(228,1),(236,1),(339,1),(351,1),(446,1)}
       282:{1,2,6}:{(227,1),(229,1),(340,1),(442,1),(457,1)}
       283:{1,3,5,7}:{(227,1),(228,1),(230,1),(237,1),(338,1),(340,1),(341,1),(450,1)}
       284:{1,4}:{(228,1),(231,1),(339,1)}
       285:{2,3,6}:{(229,1),(230,1),(233,1),(340,1),(343,1)}
       286:{2,4,7}:{(230,1),(231,1),(234,1),(341,1),(343,1)}
       287:{2,4,5}:{(231,1),(235,1),(240,1),(342,1),(345,1)}
       288:{3,5,6}:{(232,1),(233,1),(241,1),(346,1),(347,1)}
       289:{3,4,6}:{(233,1),(234,1),(343,1),(346,1),(347,1)}
       290:{3,4,5,7}:{(234,1),(235,1),(243,1),(344,1),(347,1),(348,1),(349,1),(356,1),(456,1)}
       291:{3,4,6}:{(235,1),(244,1),(345,1),(349,1),(550,1)}
       292:{2,3,7}:{(236,1),(237,1),(350,1),(517,1)}
       293:{2,4,6}:{(236,1),(238,1),(339,1),(350,1),(351,1),(437,1),(457,1),(513,1)}
       294:{1,3,4,7}:{(237,1),(238,1),(239,1),(330,1),(341,1),(350,1),(352,1),(445,1),(452,1),(514,1),(517,1)}
       295:{1,3,5}:{(238,1),(240,1),(331,1),(342,1),(351,1),(446,1),(450,1),(515,1)}
       296:{2,3,5,7}:{(239,1),(240,1),(243,1),(332,1),(344,1),(352,1),(354,1)}
       297:{2,3,5,6}:{(240,1),(244,1),(333,1),(345,1),(353,1),(354,1),(355,1),(439,1),(453,1)}
       298:{4,7}:{(241,1),(346,1)}
       299:{3,5,7}:{(242,1),(245,1),(347,1),(356,1),(357,1),(537,1)}
       300:{3,6}:{(243,1),(246,1)}
       301:{3,5,7}:{(244,1),(247,1),(349,1),(358,1),(539,1)}
       302:{2,5,6}:{(245,1),(246,1),(336,1),(357,1)}
       303:{2,4,6,7}:{(246,1),(247,1),(337,1),(358,1),(359,1),(444,1),(460,1)}
       304:{1,2,5,7}:{(248,1),(250,1),(256,1),(361,1),(362,1),(389,1),(474,1)}
       305:{1,3,5}:{(248,1),(251,1),(257,1),(360,1),(363,1)}
       306:{2,6}:{(249,1),(250,1)}
       307:{2,3,5,7}:{(250,1),(251,1),(254,1),(258,1),(362,1),(364,1),(365,1),(468,1)}
       308:{2,4}:{(251,1),(255,1),(363,1)}
       309:{2,5,6}:{(252,1),(253,1),(260,1),(367,1),(468,1)}
       310:{3,6}:{(253,1),(254,1)}
       311:{3,4,7}:{(254,1),(255,1),(365,1),(368,1),(377,1)}
       312:{3,4,5}:{(255,1),(263,1),(366,1),(370,1),(533,1)}
       313:{2,3,6}:{(257,1),(360,1),(371,1),(372,1),(383,1),(523,1)}
       314:{1,3,7}:{(256,1),(257,1),(258,1),(371,1)}
       315:{1,3,4,6}:{(257,1),(259,1),(273,1),(363,1),(372,1),(373,1),(374,1),(384,1),(461,1),(465,1),(467,1),(476,1),(482,1),(521,1),(523,1)}
       316:{2,3,4,7}:{(258,1),(259,1),(262,1),(274,1),(365,1),(373,1),(375,1),(470,1),(483,1)}
       317:{2,3,5}:{(259,1),(263,1),(275,1),(366,1),(374,1),(468,1)}
       318:{3,5,7}:{(260,1),(261,1),(367,1),(377,1)}
       319:{3,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(377,1),(378,1),(379,1),(479,1),(486,1),(535,1),(549,1)}
       320:{3,5,7}:{(262,1),(263,1),(265,1),(379,1)}
       321:{3,5,6}:{(263,1),(266,1),(370,1),(379,1),(380,1),(488,1)}
       322:{2,5,7}:{(264,1),(278,1),(378,1),(381,1),(468,1),(489,1)}
       323:{2,4,6}:{(265,1),(279,1),(379,1),(381,1),(391,1),(479,1)}
       324:{2,4,5,7}:{(266,1),(280,1),(380,1),(382,1),(392,1),(470,1),(491,1),(529,1),(530,1),(536,1),(549,1)}
       325:{1,3}:{(267,1),(268,1),(383,1)}
       326:{2,3,4}:{(268,1),(270,1),(384,1),(385,1),(395,1),(461,1)}
       327:{1,4}:{(269,1),(270,1)}
       328:{2,4,5}:{(270,1),(271,1),(275,1),(385,1),(386,1),(387,1),(481,1)}
       329:{1,3,4,6}:{(271,1),(277,1),(291,1),(370,1),(387,1),(388,1),(401,1),(467,1),(482,1),(488,1),(523,1)}
       330:{1,4,7}:{(272,1),(273,1),(274,1),(389,1)}
       331:{1,5}:{(273,1),(275,1)}
       332:{2,5,7}:{(274,1),(275,1),(276,1),(389,1),(391,1)}
       333:{2,5,6}:{(275,1),(277,1),(387,1),(390,1),(391,1),(392,1)}
       334:{1,3,6}:{(276,1),(279,1),(300,1),(379,1),(391,1)}
       335:{1,3,5,7}:{(277,1),(280,1),(301,1),(380,1),(388,1),(392,1),(393,1)}
       336:{1,5,6}:{(278,1),(279,1),(302,1),(381,1)}
       337:{1,4,6,7}:{(279,1),(280,1),(303,1),(382,1),(393,1),(394,1),(485,1)}
       338:{2,3,5,7}:{(281,1),(283,1),(292,1),(396,1),(397,1),(408,1),(487,1),(489,1)}
       339:{2,4}:{(281,1),(284,1),(395,1)}
       340:{1,3,6}:{(282,1),(283,1),(285,1),(396,1),(399,1)}
       341:{1,4,7}:{(283,1),(284,1),(286,1),(397,1),(399,1)}
       342:{1,4,5}:{(284,1),(287,1),(295,1),(398,1),(401,1),(533,1)}
       343:{2,4,6}:{(285,1),(286,1),(289,1),(399,1),(402,1)}
       344:{2,4,5,7}:{(286,1),(287,1),(290,1),(296,1),(400,1),(402,1),(403,1),(404,1),(494,1)}
       345:{2,4,6}:{(287,1),(291,1),(297,1),(401,1),(404,1)}
       346:{4,6}:{(288,1),(298,1),(405,1)}
       347:{3,5}:{(289,1),(402,1),(405,1)}
       348:{3,4,6}:{(290,1),(300,1),(403,1),(406,1),(413,1)}
       349:{3,4,7}:{(291,1),(301,1),(404,1),(552,1)}
       350:{2,4,7}:{(292,1),(293,1),(294,1),(408,1),(532,1)}
       351:{2,5}:{(293,1),(295,1)}
       352:{1,3,5,7}:{(294,1),(295,1),(296,1),(389,1),(400,1),(408,1),(410,1),(487,1)}
       353:{1,3,5,6}:{(295,1),(297,1),(390,1),(401,1),(409,1),(410,1),(411,1),(482,1),(488,1),(492,1),(534,1)}
       354:{2,3,6}:{(296,1),(300,1),(391,1),(403,1),(410,1)}
       355:{2,3,5,7}:{(297,1),(301,1),(392,1),(404,1),(411,1),(412,1),(483,1),(494,1)}
       356:{4,5,7}:{(298,1),(299,1),(405,1),(413,1),(545,1),(552,1)}
       357:{3,5,6}:{(299,1),(300,1),(302,1),(413,1)}
       358:{3,6,7}:{(300,1),(301,1),(303,1)}
       359:{2,5,6,7}:{(302,1),(303,1),(394,1),(414,1),(494,1),(548,1)}
       360:{2,3,5}:{(305,1),(313,1),(416,1),(428,1),(498,1)}
       361:{1,2,6}:{(304,1),(306,1),(417,1),(442,1),(509,1)}
       362:{1,3,5,7}:{(304,1),(305,1),(307,1),(314,1),(415,1),(417,1),(418,1),(502,1)}
       363:{1,4}:{(305,1),(308,1),(416,1)}
       364:{2,3,6}:{(306,1),(307,1),(310,1),(417,1),(420,1)}
       365:{2,4,7}:{(307,1),(308,1),(311,1),(418,1),(420,1)}
       366:{2,4,5}:{(308,1),(312,1),(317,1),(419,1),(422,1)}
       367:{3,5,6}:{(309,1),(310,1),(318,1),(423,1),(424,1)}
       368:{3,4,6}:{(310,1),(311,1),(420,1),(423,1),(424,1)}
       369:{3,4,5,7}:{(311,1),(312,1),(320,1),(421,1),(424,1),(425,1),(426,1),(433,1),(508,1)}
       370:{3,4,6}:{(312,1),(321,1),(422,1),(426,1),(543,1)}
       371:{2,3,7}:{(313,1),(314,1),(427,1),(539,1)}
       372:{2,4,6}:{(313,1),(315,1),(416,1),(427,1),(428,1),(437,1),(509,1),(513,1)}
       373:{1,3,4,7}:{(314,1),(315,1),(316,1),(330,1),(418,1),(427,1),(429,1),(497,1),(504,1),(514,1),(539,1)}
       374:{1,3,5}:{(315,1),(317,1),(331,1),(419,1),(428,1),(498,1),(502,1),(537,1)}
       375:{2,3,5,7}:{(316,1),(317,1),(320,1),(332,1),(421,1),(429,1),(431,1)}
       376:{2,3,5,6}:{(317,1),(321,1),(333,1),(422,1),(430,1),(431,1),(432,1),(439,1),(505,1)}
       377:{4,7}:{(318,1),(423,1)}
       378:{3,5,7}:{(319,1),(322,1),(424,1),(433,1),(434,1),(515,1)}
       379:{3,6}:{(320,1),(323,1)}
       380:{3,5,7}:{(321,1),(324,1),(426,1),(435,1),(517,1)}
       381:{2,5,6}:{(322,1),(323,1),(336,1),(434,1)}
       382:{2,4,6,7}:{(323,1),(324,1),(337,1),(435,1),(436,1),(444,1),(512,1)}
       383:{2,3}:{(325,1),(437,1)}
       384:{1,3,4}:{(325,1),(326,1),(327,1),(437,1),(438,1)}
       385:{2,3,5}:{(326,1),(328,1),(438,1),(439,1),(446,1),(498,1)}
       386:{1,4,5}:{(327,1),(328,1),(331,1),(438,1),(440,1)}
       387:{2,4,6}:{(328,1),(329,1),(333,1),(439,1),(440,1),(441,1),(513,1)}
       388:{1,3,4,7}:{(329,1),(335,1),(349,1),(426,1),(441,1),(452,1),(504,1),(514,1),(517,1),(539,1)}
       389:{1,5,7}:{(330,1),(331,1),(332,1),(442,1)}
       390:{1,5,6}:{(331,1),(333,1),(440,1),(442,1),(443,1)}
       391:{2,6}:{(332,1),(334,1),(442,1)}
       392:{2,5,7}:{(333,1),(335,1),(441,1),(443,1),(444,1)}
       393:{1,3,6,7}:{(334,1),(335,1),(337,1),(358,1),(435,1),(444,1)}
       394:{1,5,6,7}:{(336,1),(337,1),(359,1),(436,1),(520,1),(542,1)}
       395:{3,4}:{(339,1),(446,1)}
       396:{2,3,6}:{(338,1),(340,1),(447,1),(457,1),(516,1)}
       397:{2,4,7}:{(338,1),(339,1),(341,1),(445,1),(447,1)}
       398:{2,4,5}:{(339,1),(342,1),(351,1),(446,1),(449,1)}
       399:{1,4,6}:{(340,1),(341,1),(343,1),(447,1),(450,1)}
       400:{1,4,5,7}:{(341,1),(342,1),(344,1),(352,1),(448,1),(450,1),(451,1),(452,1),(520,1)}
       401:{1,4,6}:{(342,1),(345,1),(353,1),(449,1),(452,1),(543,1)}
       402:{2,5}:{(343,1),(347,1),(450,1)}
       403:{2,4,6}:{(344,1),(348,1),(354,1),(451,1),(453,1)}
       404:{2,4,7}:{(345,1),(349,1),(355,1),(452,1)}
       405:{4,5}:{(346,1),(347,1)}
       406:{3,5,6}:{(347,1),(348,1),(453,1),(455,1),(456,1)}
       407:{3,4,6,7}:{(348,1),(349,1),(358,1),(454,1),(456,1),(460,1)}
       408:{2,5,7}:{(350,1),(351,1),(352,1),(457,1)}
       409:{2,5,6}:{(351,1),(353,1),(449,1),(457,1),(458,1),(513,1)}
       410:{1,3,6}:{(352,1),(354,1),(442,1),(451,1),(457,1),(516,1)}
       411:{1,3,5,7}:{(353,1),(355,1),(443,1),(452,1),(458,1),(459,1),(514,1),(517,1),(520,1),(544,1)}
       412:{2,3,6,7}:{(354,1),(355,1),(358,1),(444,1),(454,1),(459,1)}
       413:{4,6}:{(356,1),(357,1)}
       414:{3,5,6,7}:{(357,1),(358,1),(359,1),(456,1),(460,1),(551,1)}
       415:{2,3,5,7}:{(360,1),(362,1),(371,1),(462,1),(463,1),(474,1),(522,1),(524,1)}
       416:{2,4}:{(360,1),(363,1),(461,1)}
       417:{1,3,6}:{(361,1),(362,1),(364,1),(462,1),(465,1)}
       418:{1,4,7}:{(362,1),(363,1),(365,1),(463,1),(465,1)}
       419:{1,4,5}:{(363,1),(366,1),(374,1),(464,1),(467,1),(545,1)}
       420:{2,4,6}:{(364,1),(365,1),(368,1),(465,1),(468,1)}
       421:{2,4,5,7}:{(365,1),(366,1),(369,1),(375,1),(466,1),(468,1),(469,1),(470,1),(529,1)}
       422:{2,4,6}:{(366,1),(370,1),(376,1),(467,1),(470,1)}
       423:{4,6}:{(367,1),(377,1),(471,1)}
       424:{3,5}:{(368,1),(468,1),(471,1)}
       425:{3,4,6}:{(369,1),(379,1),(469,1),(472,1),(479,1)}
       426:{3,4,7}:{(370,1),(380,1),(470,1),(549,1)}
       427:{2,4,7}:{(371,1),(372,1),(373,1),(474,1),(532,1)}
       428:{2,5}:{(372,1),(374,1)}
       429:{1,3,5,7}:{(373,1),(374,1),(375,1),(389,1),(466,1),(474,1),(476,1),(522,1)}
       430:{1,3,5,6}:{(374,1),(376,1),(390,1),(467,1),(475,1),(476,1),(477,1),(482,1),(523,1),(527,1),(546,1)}
       431:{2,3,6}:{(375,1),(379,1),(391,1),(469,1),(476,1)}
       432:{2,3,5,7}:{(376,1),(380,1),(392,1),(470,1),(477,1),(478,1),(483,1),(529,1)}
       433:{4,5,7}:{(377,1),(378,1),(471,1),(479,1),(533,1),(549,1)}
       434:{3,5,6}:{(378,1),(379,1),(381,1),(479,1)}
       435:{3,6,7}:{(379,1),(380,1),(382,1)}
       436:{2,5,6,7}:{(381,1),(382,1),(394,1),(480,1),(529,1),(536,1)}
       437:{2,4}:{(383,1),(384,1),(481,1)}
       438:{1,3,5}:{(384,1),(385,1),(386,1),(481,1),(482,1)}
       439:{2,3,6}:{(385,1),(387,1),(482,1),(483,1),(488,1),(523,1)}
       440:{1,4,6}:{(386,1),(387,1),(390,1),(482,1),(484,1)}
       441:{2,4,7}:{(387,1),(388,1),(392,1),(483,1),(484,1),(532,1)}
       442:{1,6}:{(389,1),(391,1)}
       443:{1,5,7}:{(390,1),(392,1),(484,1),(485,1)}
       444:{2,6,7}:{(391,1),(392,1),(393,1),(485,1)}
       445:{3,4,7}:{(395,1),(397,1),(486,1),(487,1),(549,1)}
       446:{3,5}:{(395,1),(398,1),(488,1)}
       447:{2,4,6}:{(396,1),(397,1),(399,1),(486,1),(489,1)}
       448:{2,4,5,7}:{(397,1),(398,1),(400,1),(408,1),(487,1),(489,1),(490,1),(491,1),(533,1),(536,1),(549,1)}
       449:{2,4,6}:{(398,1),(401,1),(409,1),(488,1),(491,1)}
       450:{1,5}:{(399,1),(402,1),(489,1)}
       451:{1,4,6}:{(400,1),(403,1),(410,1),(490,1),(492,1)}
       452:{1,4,7}:{(401,1),(404,1),(411,1),(491,1),(549,1)}
       453:{2,5,6}:{(402,1),(403,1),(406,1),(492,1),(494,1)}
       454:{2,4,6,7}:{(403,1),(404,1),(407,1),(412,1),(493,1),(494,1)}
       455:{4,5,6}:{(405,1),(406,1),(413,1),(495,1)}
       456:{3,5,7}:{(406,1),(407,1),(494,1),(495,1)}
       457:{2,6}:{(408,1),(410,1)}
       458:{2,5,7}:{(409,1),(411,1),(491,1),(496,1),(532,1)}
       459:{1,3,6,7}:{(410,1),(411,1),(412,1),(485,1),(493,1),(496,1),(535,1)}
       460:{4,6,7}:{(413,1),(414,1),(495,1),(552,1)}
       461:{3,4}:{(416,1),(498,1)}
       462:{2,3,6}:{(415,1),(417,1),(499,1),(509,1),(538,1)}
       463:{2,4,7}:{(415,1),(416,1),(418,1),(497,1),(499,1)}
       464:{2,4,5}:{(416,1),(419,1),(428,1),(498,1),(501,1)}
       465:{1,4,6}:{(417,1),(418,1),(420,1),(499,1),(502,1)}
       466:{1,4,5,7}:{(418,1),(419,1),(421,1),(429,1),(500,1),(502,1),(503,1),(504,1),(542,1)}
       467:{1,4,6}:{(419,1),(422,1),(430,1),(501,1),(504,1),(550,1)}
       468:{2,5}:{(420,1),(424,1),(502,1)}
       469:{2,4,6}:{(421,1),(425,1),(431,1),(503,1),(505,1)}
       470:{2,4,7}:{(422,1),(426,1),(432,1),(504,1)}
       471:{4,5}:{(423,1),(424,1)}
       472:{3,5,6}:{(424,1),(425,1),(505,1),(507,1),(508,1)}
       473:{3,4,6,7}:{(425,1),(426,1),(435,1),(506,1),(508,1),(512,1)}
       474:{2,5,7}:{(427,1),(428,1),(429,1),(509,1)}
       475:{2,5,6}:{(428,1),(430,1),(501,1),(509,1),(510,1),(513,1)}
       476:{1,3,6}:{(429,1),(431,1),(442,1),(503,1),(509,1),(538,1)}
       477:{1,3,5,7}:{(430,1),(432,1),(443,1),(504,1),(510,1),(511,1),(514,1),(539,1),(542,1),(551,1)}
       478:{2,3,6,7}:{(431,1),(432,1),(435,1),(444,1),(506,1),(511,1)}
       479:{4,6}:{(433,1),(434,1)}
       480:{3,5,6,7}:{(434,1),(435,1),(436,1),(508,1),(512,1),(544,1)}
       481:{2,5}:{(437,1),(438,1),(513,1)}
       482:{1,3,6}:{(438,1),(439,1),(440,1),(513,1),(514,1)}
       483:{2,3,7}:{(439,1),(441,1),(514,1),(517,1),(539,1)}
       484:{1,4,7}:{(440,1),(441,1),(443,1),(514,1)}
       485:{1,6,7}:{(442,1),(443,1),(444,1)}
       486:{3,4,6}:{(445,1),(447,1),(515,1),(516,1),(543,1)}
       487:{3,5,7}:{(445,1),(446,1),(448,1),(515,1),(516,1),(517,1)}
       488:{3,6}:{(446,1),(449,1),(517,1)}
       489:{2,5}:{(447,1),(450,1),(515,1)}
       490:{2,4,6}:{(448,1),(451,1),(457,1),(516,1),(518,1),(543,1)}
       491:{2,4,7}:{(449,1),(452,1),(458,1),(517,1)}
       492:{1,5,6}:{(450,1),(451,1),(453,1),(518,1),(520,1)}
       493:{1,4,6,7}:{(451,1),(452,1),(454,1),(459,1),(519,1),(520,1)}
       494:{2,5,7}:{(453,1),(454,1),(456,1),(520,1)}
       495:{4,5,7}:{(455,1),(456,1),(460,1)}
       496:{2,6,7}:{(457,1),(458,1),(459,1)}
       497:{3,4,7}:{(461,1),(463,1),(521,1),(522,1),(552,1)}
       498:{3,5}:{(461,1),(464,1),(523,1)}
       499:{2,4,6}:{(462,1),(463,1),(465,1),(521,1),(524,1)}
       500:{2,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(522,1),(524,1),(525,1),(526,1),(545,1),(548,1),(552,1)}
       501:{2,4,6}:{(464,1),(467,1),(475,1),(523,1),(526,1)}
       502:{1,5}:{(465,1),(468,1),(524,1)}
       503:{1,4,6}:{(466,1),(469,1),(476,1),(525,1),(527,1)}
       504:{1,4,7}:{(467,1),(470,1),(477,1),(526,1),(552,1)}
       505:{2,5,6}:{(468,1),(469,1),(472,1),(527,1),(529,1)}
       506:{2,4,6,7}:{(469,1),(470,1),(473,1),(478,1),(528,1),(529,1)}
       507:{4,5,6}:{(471,1),(472,1),(479,1),(530,1)}
       508:{3,5,7}:{(472,1),(473,1),(529,1),(530,1)}
       509:{2,6}:{(474,1),(476,1)}
       510:{2,5,7}:{(475,1),(477,1),(526,1),(531,1),(532,1)}
       511:{1,3,6,7}:{(476,1),(477,1),(478,1),(485,1),(528,1),(531,1),(547,1)}
       512:{4,6,7}:{(479,1),(480,1),(530,1),(549,1)}
       513:{2,6}:{(481,1),(482,1),(532,1)}
       514:{1,3,7}:{(482,1),(483,1),(484,1),(532,1)}
       515:{3,5}:{(486,1),(489,1),(533,1)}
       516:{3,6}:{(487,1),(490,1)}
       517:{3,7}:{(488,1),(491,1)}
       518:{2,5,6}:{(489,1),(490,1),(492,1),(534,1),(536,1)}
       519:{2,4,6,7}:{(490,1),(491,1),(493,1),(496,1),(535,1),(536,1),(549,1)}
       520:{1,5,7}:{(492,1),(493,1),(494,1),(536,1)}
       521:{3,4,6}:{(497,1),(499,1),(537,1),(538,1),(550,1)}
       522:{3,5,7}:{(497,1),(498,1),(500,1),(537,1),(538,1),(539,1)}
       523:{3,6}:{(498,1),(501,1),(539,1)}
       524:{2,5}:{(499,1),(502,1),(537,1)}
       525:{2,4,6}:{(500,1),(503,1),(509,1),(538,1),(540,1),(550,1)}
       526:{2,4,7}:{(501,1),(504,1),(510,1),(539,1)}
       527:{1,5,6}:{(502,1),(503,1),(505,1),(540,1),(542,1)}
       528:{1,4,6,7}:{(503,1),(504,1),(506,1),(511,1),(541,1),(542,1)}
       529:{2,5,7}:{(505,1),(506,1),(508,1),(542,1)}
       530:{4,5,7}:{(507,1),(508,1),(512,1)}
       531:{2,6,7}:{(509,1),(510,1),(511,1)}
       532:{2,7}:{(513,1),(514,1)}
       533:{4,5}:{(515,1),(543,1)}
       534:{3,5,6}:{(515,1),(516,1),(518,1),(543,1),(544,1)}
       535:{3,6,7}:{(516,1),(517,1),(519,1),(544,1)}
       536:{2,5,7}:{(518,1),(519,1),(520,1),(544,1)}
       537:{3,5}:{(521,1),(524,1),(545,1)}
       538:{3,6}:{(522,1),(525,1)}
       539:{3,7}:{(523,1),(526,1)}
       540:{2,5,6}:{(524,1),(525,1),(527,1),(546,1),(548,1)}
       541:{2,4,6,7}:{(525,1),(526,1),(528,1),(531,1),(547,1),(548,1),(552,1)}
       542:{1,5,7}:{(527,1),(528,1),(529,1),(548,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5,7}:{(534,1),(535,1),(536,1),(549,1)}
       545:{4,5}:{(537,1),(550,1)}
       546:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{3,6,7}:{(538,1),(539,1),(541,1),(551,1)}
       548:{2,5,7}:{(540,1),(541,1),(542,1),(551,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 492 :   0:{2,5,6,7}:{(1,1),(2,1),(3,1),(55,1),(174,1),(280,1)}
         1:{1,5,6,7}:{(0,1),(5,1),(6,1),(83,1),(132,1),(240,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(10,1),(33,1),(220,1),(328,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(29,1),(335,1)}
         4:{2,4,5,6}:{(7,1),(9,1),(11,1),(31,1),(32,1),(39,1),(81,1),(141,1),(217,1),(231,1),(323,1),(335,1)}
         5:{2,5,6,7}:{(1,1),(12,1),(13,1),(96,1),(118,1),(210,1)}
         6:{1,4,6,7}:{(1,1),(3,1),(13,1),(15,1),(16,1),(50,1),(293,1)}
         7:{1,4,5,6}:{(4,1),(14,1),(15,1),(17,1),(52,1),(62,1),(103,1),(115,1),(171,1),(195,1),(293,1)}
         8:{4,6,7}:{(2,1),(18,1),(271,1),(381,1)}
         9:{2,4,5,7}:{(3,1),(4,1),(15,1),(18,1),(20,1),(49,1),(55,1),(58,1),(174,1),(179,1),(271,1)}
        10:{3,6,7}:{(3,1),(20,1),(390,1)}
        11:{3,5,6}:{(4,1),(20,1),(22,1),(183,1),(283,1),(390,1)}
        12:{3,5,6,7}:{(5,1),(24,1),(26,1),(65,1),(158,1),(252,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(25,1),(26,1),(29,1),(259,1)}
        14:{2,4,5,6}:{(7,1),(25,1),(27,1),(31,1),(64,1),(71,1),(92,1),(130,1),(155,1),(169,1),(247,1),(259,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(9,1),(25,1),(28,1),(75,1),(83,1),(88,1),(132,1),(137,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(26,1),(28,1),(29,1),(349,1)}
        17:{1,3,5,6}:{(7,1),(11,1),(27,1),(28,1),(30,1),(31,1),(243,1),(349,1)}
        18:{4,5,7}:{(8,1),(32,1),(33,1)}
        19:{3,4,6,7}:{(8,1),(10,1),(33,1),(34,1),(36,1),(80,1)}
        20:{3,5,7}:{(9,1),(10,1),(11,1),(36,1),(225,1)}
        21:{2,3,6,7}:{(10,1),(29,1),(34,1),(37,1),(38,1),(153,1)}
        22:{3,4,6}:{(11,1),(35,1),(36,1),(39,1),(323,1)}
        23:{2,3,5,6}:{(11,1),(31,1),(37,1),(39,1),(40,1),(77,1),(81,1),(85,1),(153,1)}
        24:{4,6,7}:{(12,1),(41,1),(201,1),(306,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(15,1),(41,1),(43,1),(49,1),(96,1),(99,1),(118,1),(123,1),(201,1)}
        26:{3,6,7}:{(13,1),(43,1),(315,1)}
        27:{3,5,6}:{(14,1),(43,1),(45,1),(127,1),(213,1),(315,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(17,1),(20,1),(43,1),(48,1),(49,1)}
        29:{2,6,7}:{(16,1),(49,1),(50,1),(403,1)}
        30:{1,3,4,6}:{(17,1),(22,1),(45,1),(47,1),(48,1),(51,1),(62,1),(103,1),(111,1),(127,1),(183,1)}
        31:{2,5,6}:{(17,1),(49,1),(51,1),(52,1),(296,1),(403,1)}
        32:{4,5,6}:{(18,1),(53,1),(381,1),(533,1)}
        33:{3,5,7}:{(18,1),(19,1),(53,1),(55,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(55,1),(56,1),(58,1),(114,1)}
        35:{3,4,5}:{(22,1),(57,1),(283,1),(377,1),(416,1)}
        36:{3,4,7}:{(20,1),(22,1),(58,1),(271,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(23,1),(49,1),(55,1),(58,1),(59,1),(107,1)}
        38:{1,3,6,7}:{(21,1),(50,1),(56,1),(59,1),(60,1),(119,1),(196,1)}
        39:{2,4,6}:{(22,1),(23,1),(57,1),(58,1),(62,1)}
        40:{1,3,5,6}:{(23,1),(52,1),(59,1),(62,1),(63,1),(111,1),(115,1),(120,1),(127,1),(196,1),(198,1)}
        41:{4,5,7}:{(24,1),(64,1),(65,1)}
        42:{3,4,6,7}:{(24,1),(26,1),(65,1),(66,1),(68,1),(129,1)}
        43:{3,5,7}:{(25,1),(26,1),(27,1),(68,1),(163,1)}
        44:{2,3,6,7}:{(26,1),(29,1),(66,1),(69,1),(70,1),(215,1)}
        45:{3,4,6}:{(27,1),(67,1),(68,1),(71,1),(247,1)}
        46:{2,3,5,6}:{(27,1),(31,1),(69,1),(71,1),(72,1),(77,1),(130,1),(134,1),(215,1)}
        47:{1,3,4,5}:{(30,1),(35,1),(67,1),(73,1),(86,1),(135,1),(144,1),(161,1),(223,1),(235,1),(243,1)}
        48:{1,3,4,7}:{(28,1),(30,1),(36,1),(68,1),(74,1),(88,1),(137,1),(146,1),(163,1),(225,1)}
        49:{2,5,7}:{(28,1),(29,1),(31,1),(74,1),(75,1)}
        50:{1,6,7}:{(29,1),(75,1),(450,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(74,1),(77,1),(78,1),(150,1)}
        52:{1,5,6}:{(31,1),(75,1),(78,1),(351,1),(450,1)}
        53:{3,5,6}:{(32,1),(33,1),(80,1),(81,1),(516,1)}
        54:{3,4,5,7}:{(33,1),(35,1),(36,1),(80,1),(82,1),(327,1),(334,1),(457,1),(516,1)}
        55:{2,5,7}:{(33,1),(34,1),(81,1),(83,1)}
        56:{1,4,6,7}:{(34,1),(38,1),(83,1),(84,1),(88,1),(154,1)}
        57:{2,4,5}:{(35,1),(39,1),(85,1),(86,1),(363,1)}
        58:{2,4,7}:{(36,1),(37,1),(39,1),(88,1)}
        59:{1,3,5,7}:{(37,1),(38,1),(40,1),(75,1),(83,1),(88,1),(89,1),(146,1),(158,1),(163,1)}
        60:{2,6,7}:{(38,1),(89,1),(245,1)}
        61:{2,3,4,6}:{(39,1),(77,1),(85,1),(87,1),(91,1),(143,1),(153,1),(230,1),(242,1),(261,1),(363,1),(453,1)}
        62:{1,4,6}:{(39,1),(40,1),(86,1),(88,1),(92,1),(247,1)}
        63:{2,5,6}:{(40,1),(89,1),(92,1),(150,1),(160,1),(245,1)}
        64:{4,5,6}:{(41,1),(94,1),(306,1),(545,1)}
        65:{3,5,7}:{(41,1),(42,1),(94,1),(96,1)}
        66:{2,4,6,7}:{(42,1),(44,1),(96,1),(97,1),(99,1),(170,1)}
        67:{3,4,5}:{(45,1),(98,1),(213,1),(302,1),(476,1)}
        68:{3,4,7}:{(43,1),(45,1),(99,1),(201,1)}
        69:{2,3,5,7}:{(43,1),(44,1),(46,1),(49,1),(96,1),(99,1),(100,1),(107,1)}
        70:{1,3,6,7}:{(44,1),(50,1),(97,1),(100,1),(101,1),(175,1),(266,1)}
        71:{2,4,6}:{(45,1),(46,1),(98,1),(99,1),(103,1)}
        72:{1,3,5,6}:{(46,1),(52,1),(100,1),(103,1),(104,1),(111,1),(171,1),(176,1),(183,1),(266,1),(268,1)}
        73:{2,4,5}:{(47,1),(51,1),(105,1),(106,1),(186,1),(288,1),(296,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(107,1),(108,1),(188,1)}
        75:{1,5,7}:{(49,1),(50,1),(52,1),(108,1)}
        76:{1,2,6,7}:{(50,1),(60,1),(101,1),(109,1),(110,1),(299,1),(374,1),(403,1),(489,1),(499,1),(531,1)}
        77:{2,3,6}:{(51,1),(105,1),(107,1),(111,1),(127,1),(183,1)}
        78:{1,4,6}:{(51,1),(52,1),(106,1),(108,1),(111,1)}
        79:{1,2,5,6}:{(52,1),(63,1),(104,1),(109,1),(112,1),(113,1),(192,1),(203,1),(273,1),(296,1),(299,1),(374,1),(403,1),(405,1),(423,1),(483,1)}
        80:{3,4,6}:{(53,1),(54,1),(114,1),(381,1),(390,1)}
        81:{2,5,6}:{(53,1),(55,1),(114,1),(115,1),(491,1)}
        82:{2,4,5,7}:{(54,1),(55,1),(57,1),(58,1),(114,1),(116,1),(117,1),(412,1),(491,1)}
        83:{1,5,7}:{(55,1),(56,1),(115,1),(118,1)}
        84:{2,4,6,7}:{(56,1),(60,1),(118,1),(119,1),(123,1),(197,1),(201,1)}
        85:{2,3,5}:{(57,1),(61,1),(120,1),(283,1),(296,1),(491,1)}
        86:{1,4,5}:{(57,1),(62,1),(120,1),(121,1),(302,1),(309,1)}
        87:{2,3,4,7}:{(58,1),(61,1),(107,1),(116,1),(122,1),(278,1),(291,1),(312,1),(412,1)}
        88:{1,4,7}:{(58,1),(59,1),(62,1),(123,1),(201,1)}
        89:{2,5,7}:{(59,1),(60,1),(63,1),(123,1),(188,1)}
        90:{2,3,6,7}:{(60,1),(110,1),(119,1),(124,1),(125,1),(300,1),(315,1),(403,1),(467,1),(531,1),(548,1)}
        91:{1,3,4,6}:{(61,1),(62,1),(111,1),(120,1),(122,1),(126,1),(127,1),(185,1),(196,1),(205,1),(211,1),(295,1),(301,1),(309,1),(408,1)}
        92:{2,4,6}:{(62,1),(63,1),(121,1),(123,1),(127,1)}
        93:{2,3,5,6}:{(63,1),(113,1),(124,1),(127,1),(128,1),(193,1),(198,1),(204,1),(210,1),(213,1),(296,1),(300,1),(315,1),(383,1),(403,1),(409,1),(467,1),(483,1),(523,1),(529,1),(546,1)}
        94:{3,5,6}:{(64,1),(65,1),(129,1),(130,1),(537,1)}
        95:{3,4,5,7}:{(65,1),(67,1),(68,1),(129,1),(131,1),(251,1),(258,1),(504,1),(537,1)}
        96:{2,5,7}:{(65,1),(66,1),(130,1),(132,1)}
        97:{1,4,6,7}:{(66,1),(70,1),(132,1),(133,1),(137,1),(216,1)}
        98:{2,4,5}:{(67,1),(71,1),(134,1),(135,1),(434,1)}
        99:{2,4,7}:{(68,1),(69,1),(71,1),(137,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(132,1),(137,1),(138,1),(146,1),(220,1),(225,1)}
       101:{2,6,7}:{(70,1),(138,1),(321,1)}
       102:{2,3,4,6}:{(71,1),(77,1),(134,1),(136,1),(140,1),(143,1),(168,1),(215,1),(242,1),(337,1),(434,1),(500,1)}
       103:{1,4,6}:{(71,1),(72,1),(135,1),(137,1),(141,1),(323,1)}
       104:{2,5,6}:{(72,1),(138,1),(141,1),(150,1),(222,1),(321,1)}
       105:{2,3,5}:{(73,1),(77,1),(143,1),(144,1),(161,1),(223,1)}
       106:{1,4,5}:{(73,1),(78,1),(144,1),(344,1),(351,1)}
       107:{2,3,7}:{(74,1),(77,1),(146,1),(163,1),(225,1)}
       108:{1,4,7}:{(74,1),(75,1),(78,1),(146,1)}
       109:{1,2,5,7}:{(75,1),(76,1),(79,1),(89,1),(138,1),(147,1),(148,1),(236,1),(348,1),(452,1),(466,1),(513,1)}
       110:{1,3,6,7}:{(76,1),(90,1),(139,1),(148,1),(149,1),(349,1),(354,1),(425,1),(450,1)}
       111:{1,3,6}:{(77,1),(78,1),(144,1),(146,1),(150,1)}
       112:{1,2,4,6}:{(78,1),(79,1),(92,1),(141,1),(145,1),(147,1),(150,1),(151,1),(152,1),(242,1),(448,1),(462,1),(509,1),(514,1)}
       113:{1,3,5,6}:{(79,1),(93,1),(142,1),(148,1),(151,1),(152,1),(240,1),(241,1),(243,1),(253,1),(329,1),(349,1),(351,1),(354,1),(425,1),(450,1),(454,1),(501,1)}
       114:{2,4,6}:{(80,1),(81,1),(82,1),(153,1),(154,1)}
       115:{1,5,6}:{(81,1),(83,1),(154,1),(155,1),(454,1)}
       116:{2,3,5,7}:{(82,1),(85,1),(87,1),(153,1),(156,1),(334,1),(348,1)}
       117:{1,4,5,7}:{(82,1),(83,1),(86,1),(88,1),(154,1),(156,1),(157,1),(359,1),(454,1)}
       118:{2,5,7}:{(83,1),(84,1),(155,1),(158,1)}
       119:{3,6,7}:{(84,1),(158,1),(163,1),(246,1)}
       120:{1,3,5}:{(85,1),(86,1),(91,1),(160,1),(161,1),(351,1),(356,1),(454,1)}
       121:{2,4,5}:{(86,1),(92,1),(160,1),(161,1),(254,1)}
       122:{1,3,4,7}:{(87,1),(88,1),(91,1),(146,1),(156,1),(162,1),(163,1),(250,1),(256,1),(347,1),(359,1)}
       123:{2,4,7}:{(88,1),(89,1),(92,1),(163,1)}
       124:{2,3,5,7}:{(89,1),(90,1),(93,1),(148,1),(158,1),(163,1),(164,1),(165,1),(237,1),(258,1),(348,1),(513,1),(542,1),(551,1)}
       125:{2,4,6,7}:{(90,1),(149,1),(159,1),(164,1),(165,1),(259,1),(355,1),(500,1)}
       126:{2,4,6}:{(91,1),(150,1),(160,1),(162,1),(167,1),(232,1),(245,1),(254,1)}
       127:{3,6}:{(92,1),(161,1),(163,1)}
       128:{2,4,6}:{(93,1),(152,1),(164,1),(168,1),(169,1),(247,1),(254,1),(434,1),(550,1)}
       129:{3,4,6}:{(94,1),(95,1),(170,1),(306,1),(315,1)}
       130:{2,5,6}:{(94,1),(96,1),(170,1),(171,1),(523,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(98,1),(99,1),(170,1),(172,1),(173,1),(472,1),(523,1)}
       132:{1,5,7}:{(96,1),(97,1),(171,1),(174,1)}
       133:{2,4,6,7}:{(97,1),(101,1),(174,1),(175,1),(179,1),(267,1),(271,1)}
       134:{2,3,5}:{(98,1),(102,1),(176,1),(213,1),(296,1),(523,1)}
       135:{1,4,5}:{(98,1),(103,1),(176,1),(177,1),(377,1),(384,1)}
       136:{2,3,4,7}:{(99,1),(102,1),(107,1),(172,1),(178,1),(208,1),(291,1),(387,1),(472,1)}
       137:{1,4,7}:{(99,1),(100,1),(103,1),(179,1),(271,1)}
       138:{2,5,7}:{(100,1),(101,1),(104,1),(179,1),(188,1)}
       139:{2,3,6,7}:{(101,1),(110,1),(175,1),(180,1),(181,1),(375,1),(390,1),(403,1),(407,1),(499,1),(536,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(111,1),(176,1),(178,1),(182,1),(183,1),(185,1),(266,1),(275,1),(281,1),(295,1),(376,1),(384,1),(468,1)}
       141:{2,4,6}:{(103,1),(104,1),(177,1),(179,1),(183,1)}
       142:{2,3,5,6}:{(104,1),(113,1),(180,1),(183,1),(184,1),(193,1),(268,1),(274,1),(280,1),(283,1),(296,1),(308,1),(375,1),(390,1),(403,1),(407,1),(423,1),(469,1),(491,1),(497,1),(534,1)}
       143:{2,3,4}:{(105,1),(185,1),(205,1),(275,1),(288,1),(396,1)}
       144:{1,3,5}:{(105,1),(106,1),(111,1),(185,1),(186,1)}
       145:{1,2,4,5}:{(106,1),(112,1),(121,1),(177,1),(186,1),(187,1),(195,1),(203,1),(273,1),(285,1),(288,1),(296,1),(309,1),(384,1),(399,1),(417,1),(477,1),(485,1)}
       146:{1,3,7}:{(107,1),(108,1),(111,1),(188,1)}
       147:{1,2,4,7}:{(108,1),(109,1),(112,1),(123,1),(179,1),(188,1),(189,1),(190,1),(291,1),(488,1),(498,1),(530,1),(532,1)}
       148:{1,3,5,7}:{(109,1),(110,1),(113,1),(124,1),(180,1),(189,1),(190,1),(191,1),(290,1),(402,1)}
       149:{1,4,6,7}:{(110,1),(125,1),(181,1),(190,1),(191,1),(293,1),(408,1),(468,1)}
       150:{2,6}:{(111,1),(186,1),(188,1)}
       151:{1,3,6}:{(112,1),(127,1),(183,1),(187,1),(189,1),(193,1),(497,1),(529,1)}
       152:{1,4,6}:{(113,1),(128,1),(184,1),(190,1),(195,1),(309,1),(384,1)}
       153:{2,3,6}:{(114,1),(116,1),(196,1),(390,1),(403,1)}
       154:{1,4,6}:{(114,1),(115,1),(117,1),(196,1),(197,1)}
       155:{2,5,6}:{(115,1),(118,1),(197,1),(198,1),(409,1)}
       156:{1,3,5,7}:{(116,1),(117,1),(120,1),(122,1),(196,1),(199,1),(200,1),(402,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(121,1),(123,1),(197,1),(199,1),(200,1),(201,1),(302,1),(304,1),(409,1)}
       158:{3,5,7}:{(118,1),(119,1),(198,1),(201,1)}
       159:{3,4,6,7}:{(119,1),(125,1),(201,1),(202,1),(208,1),(301,1),(306,1),(315,1),(522,1),(548,1),(552,1)}
       160:{2,5}:{(120,1),(126,1)}
       161:{3,5}:{(121,1),(127,1),(205,1)}
       162:{2,4,7}:{(122,1),(126,1),(188,1),(199,1),(207,1)}
       163:{3,7}:{(123,1),(127,1)}
       164:{2,4,7}:{(124,1),(128,1),(190,1),(201,1),(208,1),(552,1)}
       165:{2,5,7}:{(125,1),(191,1),(202,1),(210,1),(409,1),(523,1)}
       166:{1,2,4,6}:{(126,1),(192,1),(203,1),(206,1),(211,1),(285,1),(295,1),(299,1),(309,1),(317,1),(408,1)}
       167:{2,3,6}:{(126,1),(127,1),(204,1),(207,1),(211,1),(286,1)}
       168:{3,4,6}:{(127,1),(128,1),(205,1),(208,1),(213,1),(315,1),(476,1),(529,1)}
       169:{2,4,5}:{(128,1),(195,1),(213,1),(296,1),(302,1),(409,1),(523,1),(545,1)}
       170:{2,4,6}:{(129,1),(130,1),(131,1),(215,1),(216,1)}
       171:{1,5,6}:{(130,1),(132,1),(216,1),(217,1),(501,1)}
       172:{2,3,5,7}:{(131,1),(134,1),(136,1),(215,1),(218,1),(258,1),(348,1)}
       173:{1,4,5,7}:{(131,1),(132,1),(135,1),(137,1),(216,1),(218,1),(219,1),(430,1),(501,1)}
       174:{2,5,7}:{(132,1),(133,1),(217,1),(220,1)}
       175:{3,6,7}:{(133,1),(220,1),(225,1),(322,1)}
       176:{1,3,5}:{(134,1),(135,1),(140,1),(222,1),(223,1),(351,1),(427,1),(501,1)}
       177:{2,4,5}:{(135,1),(141,1),(222,1),(223,1),(330,1)}
       178:{1,3,4,7}:{(136,1),(137,1),(140,1),(146,1),(218,1),(224,1),(225,1),(326,1),(332,1),(347,1),(430,1)}
       179:{2,4,7}:{(137,1),(138,1),(141,1),(225,1)}
       180:{2,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(220,1),(225,1),(226,1),(227,1),(237,1),(334,1),(348,1),(466,1),(521,1),(544,1)}
       181:{2,4,6,7}:{(139,1),(149,1),(221,1),(226,1),(227,1),(335,1),(426,1),(453,1)}
       182:{2,4,6}:{(140,1),(150,1),(222,1),(224,1),(229,1),(232,1),(321,1),(330,1)}
       183:{3,6}:{(141,1),(223,1),(225,1)}
       184:{2,4,6}:{(142,1),(152,1),(226,1),(230,1),(231,1),(323,1),(330,1),(363,1),(543,1)}
       185:{1,3,4}:{(143,1),(144,1),(232,1),(342,1),(344,1)}
       186:{2,5}:{(144,1),(150,1),(232,1)}
       187:{1,3,5}:{(145,1),(151,1),(161,1),(223,1),(234,1),(235,1),(342,1),(461,1),(508,1)}
       188:{2,7}:{(146,1),(150,1)}
       189:{1,3,7}:{(147,1),(151,1),(163,1),(225,1),(237,1),(521,1),(542,1)}
       190:{1,4,7}:{(148,1),(152,1),(164,1),(226,1)}
       191:{1,5,7}:{(149,1),(165,1),(227,1),(240,1),(454,1),(501,1)}
       192:{1,2,6}:{(150,1),(233,1),(236,1),(241,1),(514,1)}
       193:{2,3,6}:{(150,1),(151,1),(234,1),(237,1),(241,1),(242,1),(514,1)}
       194:{1,3,4,6}:{(151,1),(152,1),(168,1),(230,1),(235,1),(238,1),(242,1),(243,1),(349,1)}
       195:{1,4,5}:{(152,1),(169,1),(231,1),(243,1),(351,1),(454,1),(501,1)}
       196:{1,3,6}:{(153,1),(154,1),(156,1),(245,1),(246,1),(450,1)}
       197:{2,4,6}:{(154,1),(155,1),(157,1),(245,1),(246,1),(247,1)}
       198:{3,5,6}:{(155,1),(158,1),(246,1),(247,1),(356,1)}
       199:{2,5,7}:{(156,1),(160,1),(162,1),(245,1)}
       200:{3,5,7}:{(157,1),(161,1),(163,1),(246,1),(250,1),(356,1)}
       201:{4,7}:{(158,1),(247,1)}
       202:{3,5,7}:{(159,1),(165,1),(251,1),(252,1),(356,1),(537,1)}
       203:{1,2,5}:{(160,1),(166,1),(253,1),(351,1),(371,1),(454,1)}
       204:{2,3,5}:{(160,1),(161,1),(167,1),(253,1),(254,1)}
       205:{3,4}:{(161,1),(254,1)}
       206:{1,2,4,7}:{(162,1),(166,1),(236,1),(248,1),(256,1),(347,1),(359,1),(367,1)}
       207:{2,3,7}:{(162,1),(163,1),(167,1),(256,1)}
       208:{3,4,7}:{(163,1),(164,1),(168,1),(258,1),(542,1)}
       209:{2,4,5,7}:{(164,1),(165,1),(169,1),(239,1),(251,1),(258,1),(259,1),(348,1)}
       210:{2,5,6}:{(165,1),(240,1),(252,1),(259,1)}
       211:{1,3,6}:{(166,1),(167,1),(253,1),(256,1),(261,1),(342,1)}
       212:{2,3,4,6}:{(167,1),(168,1),(242,1),(254,1),(257,1),(262,1),(263,1),(343,1),(355,1),(365,1),(369,1),(447,1)}
       213:{3,5}:{(168,1),(169,1)}
       214:{2,4,5,6}:{(169,1),(244,1),(259,1),(264,1),(265,1),(352,1),(357,1),(365,1),(455,1),(509,1),(538,1),(550,1)}
       215:{2,3,6}:{(170,1),(172,1),(266,1),(315,1),(403,1)}
       216:{1,4,6}:{(170,1),(171,1),(173,1),(266,1),(267,1)}
       217:{2,5,6}:{(171,1),(174,1),(267,1),(268,1),(469,1)}
       218:{1,3,5,7}:{(172,1),(173,1),(176,1),(178,1),(266,1),(269,1),(270,1),(402,1)}
       219:{2,4,5,7}:{(173,1),(174,1),(177,1),(179,1),(267,1),(269,1),(270,1),(271,1),(377,1),(379,1),(469,1)}
       220:{3,5,7}:{(174,1),(175,1),(268,1),(271,1)}
       221:{3,4,6,7}:{(175,1),(181,1),(271,1),(272,1),(278,1),(376,1),(381,1),(390,1),(490,1),(536,1),(549,1)}
       222:{2,5}:{(176,1),(182,1)}
       223:{3,5}:{(177,1),(183,1),(275,1)}
       224:{2,4,7}:{(178,1),(182,1),(188,1),(269,1),(277,1)}
       225:{3,7}:{(179,1),(183,1)}
       226:{2,4,7}:{(180,1),(184,1),(190,1),(271,1),(278,1),(549,1)}
       227:{2,5,7}:{(181,1),(191,1),(272,1),(280,1),(469,1),(491,1)}
       228:{1,2,4,6}:{(182,1),(192,1),(273,1),(276,1),(281,1),(285,1),(295,1),(374,1),(384,1),(392,1),(468,1)}
       229:{2,3,6}:{(182,1),(183,1),(274,1),(277,1),(281,1),(286,1)}
       230:{3,4,6}:{(183,1),(184,1),(275,1),(278,1),(283,1),(390,1),(416,1),(497,1)}
       231:{2,4,5}:{(184,1),(195,1),(283,1),(296,1),(377,1),(469,1),(491,1),(533,1)}
       232:{2,4}:{(185,1),(186,1),(286,1)}
       233:{1,2,5}:{(186,1),(192,1),(285,1),(287,1),(485,1)}
       234:{2,3,5}:{(186,1),(187,1),(193,1),(286,1),(287,1),(288,1),(296,1),(396,1),(485,1)}
       235:{1,3,4}:{(187,1),(205,1),(275,1),(288,1),(309,1),(384,1),(416,1),(476,1)}
       236:{1,2,7}:{(188,1),(192,1),(290,1),(532,1)}
       237:{2,3,7}:{(188,1),(189,1),(193,1),(290,1),(291,1),(532,1)}
       238:{1,3,4,7}:{(189,1),(190,1),(194,1),(208,1),(278,1),(291,1),(292,1)}
       239:{1,4,5,7}:{(190,1),(191,1),(195,1),(209,1),(279,1),(292,1),(293,1),(402,1)}
       240:{1,5,6}:{(191,1),(210,1),(280,1),(293,1)}
       241:{1,3,6}:{(192,1),(193,1),(287,1),(290,1),(295,1)}
       242:{2,4,6}:{(193,1),(194,1),(288,1),(291,1),(295,1),(296,1),(403,1)}
       243:{1,3,5}:{(194,1),(195,1),(213,1),(283,1),(296,1)}
       244:{1,4,5,6}:{(195,1),(214,1),(284,1),(293,1),(297,1),(298,1),(405,1),(418,1),(478,1),(492,1),(524,1)}
       245:{2,6}:{(196,1),(199,1)}
       246:{3,6}:{(197,1),(200,1)}
       247:{4,6}:{(198,1),(201,1),(302,1)}
       248:{1,2,5,7}:{(199,1),(203,1),(206,1),(299,1),(303,1),(402,1),(420,1)}
       249:{2,3,5,7}:{(199,1),(200,1),(204,1),(207,1),(300,1),(303,1),(304,1),(409,1)}
       250:{3,4,7}:{(200,1),(201,1),(205,1),(301,1),(304,1)}
       251:{4,5,7}:{(201,1),(202,1),(302,1),(306,1),(545,1),(552,1)}
       252:{3,5,6}:{(202,1),(210,1),(306,1),(315,1)}
       253:{1,3,5}:{(203,1),(204,1),(211,1),(308,1),(309,1)}
       254:{2,4}:{(204,1),(205,1),(309,1)}
       255:{3,4,5}:{(205,1),(213,1),(310,1),(311,1),(545,1)}
       256:{1,3,7}:{(206,1),(207,1),(211,1),(312,1)}
       257:{2,3,4,7}:{(207,1),(208,1),(212,1),(291,1),(304,1),(313,1),(314,1),(419,1),(487,1)}
       258:{3,5,7}:{(208,1),(209,1),(213,1),(315,1)}
       259:{2,4,6}:{(209,1),(210,1),(293,1),(306,1),(315,1),(403,1)}
       260:{2,5,6,7}:{(210,1),(294,1),(307,1),(316,1),(493,1),(547,1)}
       261:{2,3,6}:{(211,1),(308,1),(312,1),(317,1),(396,1),(497,1)}
       262:{1,3,4,6}:{(211,1),(212,1),(295,1),(309,1),(313,1),(317,1),(318,1),(397,1),(408,1),(416,1),(418,1),(421,1),(486,1),(490,1),(497,1)}
       263:{2,3,5}:{(212,1),(213,1),(296,1),(310,1),(318,1),(409,1)}
       264:{3,5,6}:{(213,1),(214,1),(311,1),(315,1),(320,1),(529,1)}
       265:{2,4,5,7}:{(214,1),(298,1),(316,1),(320,1),(406,1),(411,1),(419,1),(493,1),(530,1),(547,1),(552,1)}
       266:{1,3,6}:{(215,1),(216,1),(218,1),(321,1),(322,1),(450,1)}
       267:{2,4,6}:{(216,1),(217,1),(219,1),(321,1),(322,1),(323,1)}
       268:{3,5,6}:{(217,1),(220,1),(322,1),(323,1),(427,1)}
       269:{2,5,7}:{(218,1),(222,1),(224,1),(321,1)}
       270:{3,5,7}:{(219,1),(223,1),(225,1),(322,1),(326,1),(427,1)}
       271:{4,7}:{(220,1),(323,1)}
       272:{3,5,7}:{(221,1),(227,1),(327,1),(328,1),(427,1),(516,1)}
       273:{1,2,5}:{(222,1),(228,1),(329,1),(351,1),(442,1),(501,1)}
       274:{2,3,5}:{(222,1),(223,1),(229,1),(329,1),(330,1)}
       275:{3,4}:{(223,1),(330,1)}
       276:{1,2,4,7}:{(224,1),(228,1),(236,1),(324,1),(332,1),(347,1),(430,1),(438,1)}
       277:{2,3,7}:{(224,1),(225,1),(229,1),(332,1)}
       278:{3,4,7}:{(225,1),(226,1),(230,1),(334,1),(521,1)}
       279:{2,4,5,7}:{(226,1),(227,1),(231,1),(239,1),(327,1),(334,1),(335,1),(348,1)}
       280:{2,5,6}:{(227,1),(240,1),(328,1),(335,1)}
       281:{1,3,6}:{(228,1),(229,1),(329,1),(332,1),(337,1),(342,1)}
       282:{2,3,4,6}:{(229,1),(230,1),(242,1),(330,1),(333,1),(338,1),(339,1),(343,1),(426,1),(436,1),(440,1),(447,1)}
       283:{3,5}:{(230,1),(231,1)}
       284:{2,4,5,6}:{(231,1),(244,1),(335,1),(340,1),(341,1),(352,1),(428,1),(436,1),(462,1),(502,1),(517,1),(543,1)}
       285:{1,2,4}:{(232,1),(233,1),(342,1),(344,1),(445,1)}
       286:{2,3}:{(232,1),(342,1)}
       287:{1,3,5}:{(233,1),(234,1),(241,1),(342,1),(344,1),(351,1)}
       288:{2,4}:{(234,1),(235,1),(344,1)}
       289:{1,3,4,5}:{(235,1),(243,1),(255,1),(331,1),(345,1),(346,1),(364,1),(435,1),(446,1),(461,1),(508,1)}
       290:{1,3,7}:{(236,1),(237,1),(241,1),(347,1)}
       291:{2,4,7}:{(237,1),(238,1),(242,1),(347,1),(348,1)}
       292:{1,3,5,7}:{(238,1),(239,1),(243,1),(258,1),(334,1),(348,1),(349,1)}
       293:{1,4,6}:{(239,1),(240,1),(259,1),(335,1),(349,1),(450,1)}
       294:{1,5,6,7}:{(240,1),(260,1),(336,1),(350,1),(518,1),(539,1)}
       295:{1,4,6}:{(241,1),(242,1),(344,1),(347,1),(351,1),(450,1)}
       296:{2,5}:{(242,1),(243,1),(351,1)}
       297:{1,3,5,6}:{(243,1),(244,1),(264,1),(340,1),(346,1),(349,1),(352,1),(353,1)}
       298:{1,4,5,7}:{(244,1),(265,1),(341,1),(350,1),(353,1),(452,1),(463,1),(510,1),(518,1),(539,1)}
       299:{1,2,6}:{(245,1),(248,1),(354,1),(450,1),(464,1)}
       300:{2,3,6}:{(245,1),(246,1),(249,1),(354,1),(355,1)}
       301:{3,4,6}:{(246,1),(247,1),(250,1),(355,1),(356,1)}
       302:{4,5}:{(247,1),(356,1)}
       303:{1,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(354,1),(358,1),(359,1),(454,1)}
       304:{2,4,7}:{(249,1),(250,1),(254,1),(355,1),(359,1)}
       305:{3,4,5,7}:{(250,1),(251,1),(255,1),(258,1),(356,1),(360,1),(361,1),(366,1),(456,1)}
       306:{4,6}:{(251,1),(252,1)}
       307:{3,5,6,7}:{(252,1),(260,1),(362,1),(370,1),(456,1),(551,1)}
       308:{2,3,5}:{(253,1),(261,1),(363,1),(371,1),(461,1)}
       309:{1,4}:{(253,1),(254,1),(363,1)}
       310:{2,4,5}:{(254,1),(255,1),(263,1),(364,1),(365,1)}
       311:{3,4,6}:{(255,1),(264,1),(365,1),(366,1),(550,1)}
       312:{2,3,7}:{(256,1),(261,1),(367,1),(521,1)}
       313:{1,3,4,7}:{(256,1),(257,1),(262,1),(347,1),(359,1),(367,1),(368,1),(457,1),(463,1),(515,1),(521,1)}
       314:{2,3,5,7}:{(257,1),(258,1),(263,1),(348,1),(360,1),(368,1),(369,1)}
       315:{3,6}:{(258,1),(259,1)}
       316:{2,4,6,7}:{(259,1),(260,1),(265,1),(350,1),(362,1),(370,1),(451,1)}
       317:{2,4,6}:{(261,1),(262,1),(363,1),(367,1),(371,1),(445,1),(464,1),(514,1)}
       318:{1,3,5}:{(262,1),(263,1),(351,1),(364,1),(371,1),(454,1),(461,1),(516,1)}
       319:{2,3,5,6}:{(263,1),(264,1),(352,1),(365,1),(369,1),(372,1),(373,1),(447,1),(455,1)}
       320:{3,5,7}:{(264,1),(265,1),(366,1),(370,1),(542,1)}
       321:{2,6}:{(266,1),(269,1)}
       322:{3,6}:{(267,1),(270,1)}
       323:{4,6}:{(268,1),(271,1),(377,1)}
       324:{1,2,5,7}:{(269,1),(273,1),(276,1),(374,1),(378,1),(402,1),(480,1)}
       325:{2,3,5,7}:{(269,1),(270,1),(274,1),(277,1),(375,1),(378,1),(379,1),(469,1)}
       326:{3,4,7}:{(270,1),(271,1),(275,1),(376,1),(379,1)}
       327:{4,5,7}:{(271,1),(272,1),(377,1),(381,1),(533,1),(549,1)}
       328:{3,5,6}:{(272,1),(280,1),(381,1),(390,1)}
       329:{1,3,5}:{(273,1),(274,1),(281,1),(383,1),(384,1)}
       330:{2,4}:{(274,1),(275,1),(384,1)}
       331:{3,4,5}:{(275,1),(283,1),(385,1),(386,1),(533,1)}
       332:{1,3,7}:{(276,1),(277,1),(281,1),(387,1)}
       333:{2,3,4,7}:{(277,1),(278,1),(282,1),(291,1),(379,1),(388,1),(389,1),(479,1),(487,1)}
       334:{3,5,7}:{(278,1),(279,1),(283,1),(390,1)}
       335:{2,4,6}:{(279,1),(280,1),(293,1),(381,1),(390,1),(403,1)}
       336:{2,5,6,7}:{(280,1),(294,1),(382,1),(391,1),(525,1),(535,1)}
       337:{2,3,6}:{(281,1),(383,1),(387,1),(392,1),(396,1),(529,1)}
       338:{1,3,4,6}:{(281,1),(282,1),(295,1),(384,1),(388,1),(392,1),(393,1),(397,1),(468,1),(476,1),(478,1),(481,1),(486,1),(522,1),(529,1)}
       339:{2,3,5}:{(282,1),(283,1),(296,1),(385,1),(393,1),(469,1)}
       340:{3,5,6}:{(283,1),(284,1),(386,1),(390,1),(395,1),(497,1)}
       341:{2,4,5,7}:{(284,1),(298,1),(391,1),(395,1),(406,1),(471,1),(479,1),(498,1),(525,1),(535,1),(549,1)}
       342:{1,3}:{(285,1),(286,1),(396,1)}
       343:{2,3,4}:{(286,1),(288,1),(397,1),(398,1),(416,1),(476,1)}
       344:{1,4}:{(287,1),(288,1)}
       345:{2,4,5}:{(288,1),(289,1),(296,1),(398,1),(399,1),(400,1),(485,1)}
       346:{1,3,4,6}:{(289,1),(297,1),(311,1),(386,1),(400,1),(401,1),(418,1),(478,1),(486,1),(497,1),(529,1)}
       347:{1,4,7}:{(290,1),(291,1),(295,1),(402,1)}
       348:{2,5,7}:{(291,1),(292,1),(296,1),(402,1),(403,1)}
       349:{1,3,6}:{(292,1),(293,1),(315,1),(390,1),(403,1)}
       350:{1,4,6,7}:{(293,1),(294,1),(298,1),(316,1),(391,1),(404,1),(489,1)}
       351:{1,5}:{(295,1),(296,1)}
       352:{2,5,6}:{(296,1),(297,1),(400,1),(403,1),(405,1),(406,1)}
       353:{1,3,5,7}:{(297,1),(298,1),(320,1),(395,1),(401,1),(404,1),(406,1)}
       354:{1,3,6}:{(299,1),(300,1),(303,1),(407,1),(408,1)}
       355:{2,4,6}:{(300,1),(301,1),(304,1),(408,1),(409,1)}
       356:{3,5}:{(301,1),(302,1),(409,1)}
       357:{4,5,6}:{(302,1),(306,1),(410,1),(411,1)}
       358:{2,3,5,7}:{(303,1),(308,1),(312,1),(407,1),(412,1),(420,1),(491,1),(494,1)}
       359:{1,4,7}:{(303,1),(304,1),(309,1),(408,1),(412,1)}
       360:{2,4,5,7}:{(304,1),(305,1),(310,1),(314,1),(409,1),(413,1),(414,1),(419,1),(493,1)}
       361:{3,4,6}:{(305,1),(306,1),(315,1),(410,1),(414,1)}
       362:{4,6,7}:{(306,1),(307,1),(411,1),(552,1)}
       363:{2,4}:{(308,1),(309,1),(416,1)}
       364:{1,4,5}:{(309,1),(310,1),(318,1),(417,1),(418,1),(533,1)}
       365:{2,4,6}:{(310,1),(311,1),(319,1),(418,1),(419,1)}
       366:{3,4,7}:{(311,1),(320,1),(419,1),(552,1)}
       367:{2,4,7}:{(312,1),(313,1),(317,1),(420,1),(532,1)}
       368:{1,3,5,7}:{(313,1),(314,1),(318,1),(402,1),(413,1),(420,1),(421,1),(494,1)}
       369:{2,3,6}:{(314,1),(315,1),(403,1),(414,1),(421,1)}
       370:{3,6,7}:{(315,1),(316,1),(320,1)}
       371:{2,5}:{(317,1),(318,1)}
       372:{1,3,5,6}:{(318,1),(319,1),(405,1),(418,1),(421,1),(423,1),(424,1),(486,1),(492,1),(497,1),(534,1)}
       373:{2,3,5,7}:{(319,1),(320,1),(406,1),(419,1),(422,1),(424,1),(487,1),(493,1)}
       374:{1,2,6}:{(321,1),(324,1),(425,1),(450,1),(511,1)}
       375:{2,3,6}:{(321,1),(322,1),(325,1),(425,1),(426,1)}
       376:{3,4,6}:{(322,1),(323,1),(326,1),(426,1),(427,1)}
       377:{4,5}:{(323,1),(427,1)}
       378:{1,3,5,7}:{(324,1),(325,1),(329,1),(332,1),(425,1),(429,1),(430,1),(501,1)}
       379:{2,4,7}:{(325,1),(326,1),(330,1),(426,1),(430,1)}
       380:{3,4,5,7}:{(326,1),(327,1),(331,1),(334,1),(427,1),(431,1),(432,1),(437,1),(503,1)}
       381:{4,6}:{(327,1),(328,1)}
       382:{3,5,6,7}:{(328,1),(336,1),(433,1),(441,1),(503,1),(544,1)}
       383:{2,3,5}:{(329,1),(337,1),(434,1),(442,1),(508,1)}
       384:{1,4}:{(329,1),(330,1),(434,1)}
       385:{2,4,5}:{(330,1),(331,1),(339,1),(435,1),(436,1)}
       386:{3,4,6}:{(331,1),(340,1),(436,1),(437,1),(543,1)}
       387:{2,3,7}:{(332,1),(337,1),(438,1),(542,1)}
       388:{1,3,4,7}:{(332,1),(333,1),(338,1),(347,1),(430,1),(438,1),(439,1),(504,1),(510,1),(515,1),(542,1)}
       389:{2,3,5,7}:{(333,1),(334,1),(339,1),(348,1),(431,1),(439,1),(440,1)}
       390:{3,6}:{(334,1),(335,1)}
       391:{2,4,6,7}:{(335,1),(336,1),(341,1),(350,1),(433,1),(441,1),(451,1)}
       392:{2,4,6}:{(337,1),(338,1),(434,1),(438,1),(442,1),(445,1),(511,1),(514,1)}
       393:{1,3,5}:{(338,1),(339,1),(351,1),(435,1),(442,1),(501,1),(508,1),(537,1)}
       394:{2,3,5,6}:{(339,1),(340,1),(352,1),(436,1),(440,1),(443,1),(444,1),(447,1),(502,1)}
       395:{3,5,7}:{(340,1),(341,1),(437,1),(441,1),(521,1)}
       396:{2,3}:{(342,1),(445,1)}
       397:{1,3,4}:{(342,1),(343,1),(344,1),(445,1),(446,1)}
       398:{2,3,5}:{(343,1),(345,1),(446,1),(447,1),(461,1),(508,1)}
       399:{1,4,5}:{(344,1),(345,1),(351,1),(446,1),(448,1)}
       400:{2,4,6}:{(345,1),(346,1),(352,1),(447,1),(448,1),(449,1),(514,1)}
       401:{1,3,4,7}:{(346,1),(353,1),(366,1),(437,1),(449,1),(463,1),(510,1),(515,1),(521,1),(542,1)}
       402:{1,5,7}:{(347,1),(348,1),(351,1),(450,1)}
       403:{2,6}:{(348,1),(349,1),(450,1)}
       404:{1,3,6,7}:{(349,1),(350,1),(353,1),(370,1),(441,1),(451,1)}
       405:{1,5,6}:{(351,1),(352,1),(448,1),(450,1),(452,1)}
       406:{2,5,7}:{(352,1),(353,1),(449,1),(451,1),(452,1)}
       407:{2,3,6}:{(354,1),(358,1),(453,1),(464,1),(519,1)}
       408:{1,4,6}:{(354,1),(355,1),(359,1),(453,1),(454,1)}
       409:{2,5}:{(355,1),(356,1),(454,1)}
       410:{3,5,6}:{(356,1),(357,1),(361,1),(455,1),(456,1)}
       411:{4,5,7}:{(357,1),(362,1),(456,1)}
       412:{2,4,7}:{(358,1),(359,1),(363,1),(453,1),(457,1)}
       413:{1,4,5,7}:{(359,1),(360,1),(364,1),(368,1),(454,1),(458,1),(459,1),(463,1),(518,1)}
       414:{2,4,6}:{(360,1),(361,1),(369,1),(455,1),(459,1)}
       415:{3,4,6,7}:{(361,1),(362,1),(366,1),(370,1),(456,1),(460,1)}
       416:{3,4}:{(363,1),(461,1)}
       417:{2,4,5}:{(363,1),(364,1),(371,1),(461,1),(462,1)}
       418:{1,4,6}:{(364,1),(365,1),(372,1),(462,1),(463,1),(543,1)}
       419:{2,4,7}:{(365,1),(366,1),(373,1),(463,1)}
       420:{2,5,7}:{(367,1),(368,1),(371,1),(464,1)}
       421:{1,3,6}:{(368,1),(369,1),(450,1),(459,1),(464,1),(519,1)}
       422:{2,3,6,7}:{(369,1),(370,1),(373,1),(451,1),(460,1),(465,1)}
       423:{2,5,6}:{(371,1),(372,1),(462,1),(464,1),(466,1),(514,1)}
       424:{1,3,5,7}:{(372,1),(373,1),(452,1),(463,1),(465,1),(466,1),(515,1),(518,1),(521,1),(544,1)}
       425:{1,3,6}:{(374,1),(375,1),(378,1),(467,1),(468,1)}
       426:{2,4,6}:{(375,1),(376,1),(379,1),(468,1),(469,1)}
       427:{3,5}:{(376,1),(377,1),(469,1)}
       428:{4,5,6}:{(377,1),(381,1),(470,1),(471,1)}
       429:{2,3,5,7}:{(378,1),(383,1),(387,1),(467,1),(472,1),(480,1),(523,1),(526,1)}
       430:{1,4,7}:{(378,1),(379,1),(384,1),(468,1),(472,1)}
       431:{2,4,5,7}:{(379,1),(380,1),(385,1),(389,1),(469,1),(473,1),(474,1),(479,1),(525,1)}
       432:{3,4,6}:{(380,1),(381,1),(390,1),(470,1),(474,1)}
       433:{4,6,7}:{(381,1),(382,1),(471,1),(549,1)}
       434:{2,4}:{(383,1),(384,1),(476,1)}
       435:{1,4,5}:{(384,1),(385,1),(393,1),(477,1),(478,1),(545,1)}
       436:{2,4,6}:{(385,1),(386,1),(394,1),(478,1),(479,1)}
       437:{3,4,7}:{(386,1),(395,1),(479,1),(549,1)}
       438:{2,4,7}:{(387,1),(388,1),(392,1),(480,1),(532,1)}
       439:{1,3,5,7}:{(388,1),(389,1),(393,1),(402,1),(473,1),(480,1),(481,1),(526,1)}
       440:{2,3,6}:{(389,1),(390,1),(403,1),(474,1),(481,1)}
       441:{3,6,7}:{(390,1),(391,1),(395,1)}
       442:{2,5}:{(392,1),(393,1)}
       443:{1,3,5,6}:{(393,1),(394,1),(405,1),(478,1),(481,1),(483,1),(484,1),(486,1),(524,1),(529,1),(546,1)}
       444:{2,3,5,7}:{(394,1),(395,1),(406,1),(479,1),(482,1),(484,1),(487,1),(525,1)}
       445:{2,4}:{(396,1),(397,1),(485,1)}
       446:{1,3,5}:{(397,1),(398,1),(399,1),(485,1),(486,1)}
       447:{2,3,6}:{(398,1),(400,1),(486,1),(487,1),(497,1),(529,1)}
       448:{1,4,6}:{(399,1),(400,1),(405,1),(486,1),(488,1)}
       449:{2,4,7}:{(400,1),(401,1),(406,1),(487,1),(488,1),(532,1)}
       450:{1,6}:{(402,1),(403,1)}
       451:{2,6,7}:{(403,1),(404,1),(406,1),(489,1)}
       452:{1,5,7}:{(405,1),(406,1),(488,1),(489,1)}
       453:{2,4,6}:{(407,1),(408,1),(412,1),(490,1),(491,1)}
       454:{1,5}:{(408,1),(409,1),(491,1)}
       455:{2,5,6}:{(409,1),(410,1),(414,1),(492,1),(493,1)}
       456:{3,5,7}:{(410,1),(411,1),(415,1),(493,1)}
       457:{3,4,7}:{(412,1),(416,1),(490,1),(494,1),(549,1)}
       458:{2,4,5,7}:{(412,1),(413,1),(417,1),(420,1),(491,1),(494,1),(495,1),(498,1),(533,1),(535,1),(549,1)}
       459:{1,4,6}:{(413,1),(414,1),(421,1),(492,1),(495,1)}
       460:{2,4,6,7}:{(414,1),(415,1),(419,1),(422,1),(493,1),(496,1)}
       461:{3,5}:{(416,1),(417,1),(497,1)}
       462:{2,4,6}:{(417,1),(418,1),(423,1),(497,1),(498,1)}
       463:{1,4,7}:{(418,1),(419,1),(424,1),(498,1),(549,1)}
       464:{2,6}:{(420,1),(421,1)}
       465:{1,3,6,7}:{(421,1),(422,1),(424,1),(489,1),(496,1),(499,1),(536,1)}
       466:{2,5,7}:{(423,1),(424,1),(498,1),(499,1),(532,1)}
       467:{2,3,6}:{(425,1),(429,1),(500,1),(511,1),(540,1)}
       468:{1,4,6}:{(425,1),(426,1),(430,1),(500,1),(501,1)}
       469:{2,5}:{(426,1),(427,1),(501,1)}
       470:{3,5,6}:{(427,1),(428,1),(432,1),(502,1),(503,1)}
       471:{4,5,7}:{(428,1),(433,1),(503,1)}
       472:{2,4,7}:{(429,1),(430,1),(434,1),(500,1),(504,1)}
       473:{1,4,5,7}:{(430,1),(431,1),(435,1),(439,1),(501,1),(505,1),(506,1),(510,1),(539,1)}
       474:{2,4,6}:{(431,1),(432,1),(440,1),(502,1),(506,1)}
       475:{3,4,6,7}:{(432,1),(433,1),(437,1),(441,1),(503,1),(507,1)}
       476:{3,4}:{(434,1),(508,1)}
       477:{2,4,5}:{(434,1),(435,1),(442,1),(508,1),(509,1)}
       478:{1,4,6}:{(435,1),(436,1),(443,1),(509,1),(510,1),(550,1)}
       479:{2,4,7}:{(436,1),(437,1),(444,1),(510,1)}
       480:{2,5,7}:{(438,1),(439,1),(442,1),(511,1)}
       481:{1,3,6}:{(439,1),(440,1),(450,1),(506,1),(511,1),(540,1)}
       482:{2,3,6,7}:{(440,1),(441,1),(444,1),(451,1),(507,1),(512,1)}
       483:{2,5,6}:{(442,1),(443,1),(509,1),(511,1),(513,1),(514,1)}
       484:{1,3,5,7}:{(443,1),(444,1),(452,1),(510,1),(512,1),(513,1),(515,1),(539,1),(542,1),(551,1)}
       485:{2,5}:{(445,1),(446,1),(514,1)}
       486:{1,3,6}:{(446,1),(447,1),(448,1),(514,1),(515,1)}
       487:{2,3,7}:{(447,1),(449,1),(515,1),(521,1),(542,1)}
       488:{1,4,7}:{(448,1),(449,1),(452,1),(515,1)}
       489:{1,6,7}:{(450,1),(451,1),(452,1)}
       490:{3,4,6}:{(453,1),(457,1),(516,1),(519,1),(543,1)}
       491:{2,5}:{(453,1),(454,1),(516,1)}
       492:{1,5,6}:{(454,1),(455,1),(459,1),(517,1),(518,1)}
       493:{2,5,7}:{(455,1),(456,1),(460,1),(518,1)}
       494:{3,5,7}:{(457,1),(458,1),(461,1),(516,1),(519,1),(521,1)}
       495:{2,4,6}:{(458,1),(459,1),(464,1),(517,1),(519,1),(543,1)}
       496:{1,4,6,7}:{(459,1),(460,1),(463,1),(465,1),(518,1),(520,1)}
       497:{3,6}:{(461,1),(462,1),(521,1)}
       498:{2,4,7}:{(462,1),(463,1),(466,1),(521,1)}
       499:{2,6,7}:{(464,1),(465,1),(466,1)}
       500:{2,4,6}:{(467,1),(468,1),(472,1),(522,1),(523,1)}
       501:{1,5}:{(468,1),(469,1),(523,1)}
       502:{2,5,6}:{(469,1),(470,1),(474,1),(524,1),(525,1)}
       503:{3,5,7}:{(470,1),(471,1),(475,1),(525,1)}
       504:{3,4,7}:{(472,1),(476,1),(522,1),(526,1),(552,1)}
       505:{2,4,5,7}:{(472,1),(473,1),(477,1),(480,1),(523,1),(526,1),(527,1),(530,1),(545,1),(547,1),(552,1)}
       506:{1,4,6}:{(473,1),(474,1),(481,1),(524,1),(527,1)}
       507:{2,4,6,7}:{(474,1),(475,1),(479,1),(482,1),(525,1),(528,1)}
       508:{3,5}:{(476,1),(477,1),(529,1)}
       509:{2,4,6}:{(477,1),(478,1),(483,1),(529,1),(530,1)}
       510:{1,4,7}:{(478,1),(479,1),(484,1),(530,1),(552,1)}
       511:{2,6}:{(480,1),(481,1)}
       512:{1,3,6,7}:{(481,1),(482,1),(484,1),(489,1),(528,1),(531,1),(548,1)}
       513:{2,5,7}:{(483,1),(484,1),(530,1),(531,1),(532,1)}
       514:{2,6}:{(485,1),(486,1),(532,1)}
       515:{1,3,7}:{(486,1),(487,1),(488,1),(532,1)}
       516:{3,5}:{(490,1),(491,1),(533,1)}
       517:{2,5,6}:{(491,1),(492,1),(495,1),(534,1),(535,1)}
       518:{1,5,7}:{(492,1),(493,1),(496,1),(535,1)}
       519:{3,6}:{(494,1),(495,1)}
       520:{2,4,6,7}:{(495,1),(496,1),(498,1),(499,1),(535,1),(536,1),(549,1)}
       521:{3,7}:{(497,1),(498,1)}
       522:{3,4,6}:{(500,1),(504,1),(537,1),(540,1),(550,1)}
       523:{2,5}:{(500,1),(501,1),(537,1)}
       524:{1,5,6}:{(501,1),(502,1),(506,1),(538,1),(539,1)}
       525:{2,5,7}:{(502,1),(503,1),(507,1),(539,1)}
       526:{3,5,7}:{(504,1),(505,1),(508,1),(537,1),(540,1),(542,1)}
       527:{2,4,6}:{(505,1),(506,1),(511,1),(538,1),(540,1),(550,1)}
       528:{1,4,6,7}:{(506,1),(507,1),(510,1),(512,1),(539,1),(541,1)}
       529:{3,6}:{(508,1),(509,1),(542,1)}
       530:{2,4,7}:{(509,1),(510,1),(513,1),(542,1)}
       531:{2,6,7}:{(511,1),(512,1),(513,1)}
       532:{2,7}:{(514,1),(515,1)}
       533:{4,5}:{(516,1),(543,1)}
       534:{3,5,6}:{(516,1),(517,1),(519,1),(543,1),(544,1)}
       535:{2,5,7}:{(517,1),(518,1),(520,1),(544,1)}
       536:{3,6,7}:{(519,1),(520,1),(521,1),(544,1)}
       537:{3,5}:{(522,1),(523,1),(545,1)}
       538:{2,5,6}:{(523,1),(524,1),(527,1),(546,1),(547,1)}
       539:{1,5,7}:{(524,1),(525,1),(528,1),(547,1)}
       540:{3,6}:{(526,1),(527,1)}
       541:{2,4,6,7}:{(527,1),(528,1),(530,1),(531,1),(547,1),(548,1),(552,1)}
       542:{3,7}:{(529,1),(530,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5,7}:{(534,1),(535,1),(536,1),(549,1)}
       545:{4,5}:{(537,1),(550,1)}
       546:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,5,7}:{(538,1),(539,1),(541,1),(551,1)}
       548:{3,6,7}:{(540,1),(541,1),(542,1),(551,1)}
       549:{4,7}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 493 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(6,1),(24,1),(30,1),(52,1),(92,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(24,1),(27,1),(30,1),(58,1),(63,1),(95,1),(98,1),(99,1),(123,1),(135,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(34,1),(38,1),(48,1),(72,1),(74,1),(107,1)}
         3:{2,4,7}:{(0,1),(9,1),(11,1),(12,1),(108,1)}
         4:{2,3,6}:{(0,1),(10,1),(12,1),(17,1),(49,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(15,1),(16,1),(38,1),(42,1),(48,1),(77,1),(81,1),(82,1),(109,1),(111,1),(115,1)}
         6:{3,5,7}:{(1,1),(11,1),(17,1),(39,1),(110,1),(112,1),(113,1),(129,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(18,1),(49,1),(51,1)}
         8:{2,5,7}:{(2,1),(19,1),(20,1),(54,1),(90,1),(117,1)}
         9:{1,4,7}:{(2,1),(3,1),(19,1),(22,1),(93,1),(118,1)}
        10:{1,3,6}:{(2,1),(4,1),(20,1),(22,1),(53,1),(69,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(63,1),(119,1),(135,1)}
        12:{2,4,6}:{(3,1),(4,1),(22,1),(23,1),(24,1)}
        13:{2,4,6,7}:{(7,1),(25,1),(26,1),(27,1),(61,1),(63,1),(98,1)}
        14:{2,4,5,7}:{(5,1),(19,1),(28,1),(29,1),(30,1),(54,1),(60,1),(64,1),(93,1),(95,1),(96,1),(98,1),(101,1),(102,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(21,1),(28,1),(30,1),(31,1),(57,1),(120,1),(121,1)}
        16:{1,4,6}:{(5,1),(7,1),(29,1),(31,1),(32,1),(69,1)}
        17:{3,6}:{(6,1),(7,1)}
        18:{2,5,6}:{(7,1),(24,1),(27,1),(32,1),(33,1),(123,1)}
        19:{2,4,7}:{(8,1),(9,1),(34,1),(35,1),(125,1)}
        20:{2,6}:{(8,1),(10,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(72,1),(81,1),(82,1),(112,1),(113,1),(126,1)}
        22:{1,4,6}:{(9,1),(10,1),(12,1),(35,1),(38,1)}
        23:{3,4,6}:{(11,1),(12,1),(17,1),(39,1),(51,1)}
        24:{2,5}:{(12,1),(38,1),(39,1)}
        25:{1,4,6,7}:{(13,1),(16,1),(40,1),(41,1),(42,1),(79,1),(81,1),(111,1)}
        26:{3,6,7}:{(13,1),(17,1),(43,1),(112,1)}
        27:{2,5,7}:{(13,1),(18,1),(42,1),(43,1)}
        28:{3,5,7}:{(14,1),(34,1),(44,1),(46,1),(74,1),(84,1),(110,1),(112,1)}
        29:{2,4,6}:{(14,1),(16,1),(46,1),(47,1),(49,1),(87,1)}
        30:{2,5,7}:{(15,1),(36,1),(48,1),(49,1),(76,1),(127,1),(128,1)}
        31:{1,3,6}:{(15,1),(16,1),(17,1),(46,1),(49,1)}
        32:{1,5,6}:{(16,1),(18,1),(38,1),(42,1),(47,1),(115,1)}
        33:{3,5,6}:{(17,1),(18,1),(39,1),(43,1),(51,1),(129,1)}
        34:{3,7}:{(19,1),(53,1),(131,1)}
        35:{2,4,6}:{(19,1),(20,1),(22,1),(53,1),(54,1),(93,1)}
        36:{2,4,7}:{(21,1),(30,1),(52,1),(55,1),(56,1),(90,1),(132,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(23,1),(31,1),(53,1),(56,1),(57,1),(65,1),(71,1),(91,1),(93,1),(100,1),(105,1),(118,1),(119,1),(122,1),(131,1),(135,1)}
        38:{1,5}:{(22,1),(24,1),(54,1)}
        39:{3,5}:{(23,1),(24,1),(58,1)}
        40:{2,4,6,7}:{(25,1),(29,1),(59,1),(60,1),(61,1),(96,1),(98,1)}
        41:{1,3,6,7}:{(25,1),(26,1),(31,1),(59,1),(61,1),(62,1),(121,1)}
        42:{1,5,7}:{(25,1),(27,1),(32,1),(60,1)}
        43:{3,5,7}:{(26,1),(27,1),(33,1),(63,1)}
        44:{3,4,7}:{(28,1),(64,1),(65,1),(93,1),(96,1),(119,1)}
        45:{2,3,5,7}:{(28,1),(30,1),(52,1),(64,1),(66,1),(67,1),(92,1),(101,1)}
        46:{3,6}:{(28,1),(29,1)}
        47:{2,5,6}:{(29,1),(32,1),(54,1),(60,1),(68,1),(101,1)}
        48:{1,5,7}:{(30,1),(55,1),(69,1),(94,1),(133,1),(134,1)}
        49:{2,6}:{(30,1),(31,1),(69,1)}
        50:{1,3,5,6}:{(31,1),(32,1),(33,1),(57,1),(62,1),(68,1),(70,1),(71,1),(105,1)}
        51:{4,6}:{(33,1),(58,1),(63,1),(135,1)}
        52:{2,3,7}:{(34,1),(36,1),(72,1),(73,1),(112,1),(113,1),(128,1),(136,1)}
        53:{3,6}:{(34,1),(35,1),(74,1)}
        54:{2,5}:{(35,1),(38,1),(74,1)}
        55:{1,4,7}:{(36,1),(48,1),(72,1),(75,1),(137,1)}
        56:{2,4,6}:{(36,1),(37,1),(49,1),(73,1),(75,1),(76,1),(106,1),(108,1),(125,1)}
        57:{1,3,5}:{(37,1),(38,1),(39,1),(74,1),(76,1),(77,1),(84,1),(110,1),(115,1),(129,1)}
        58:{4,5}:{(39,1),(51,1)}
        59:{3,6,7}:{(40,1),(46,1),(78,1),(112,1)}
        60:{2,5,7}:{(40,1),(42,1),(47,1),(78,1)}
        61:{2,6,7}:{(41,1),(49,1),(79,1),(80,1),(128,1)}
        62:{1,3,5,7}:{(41,1),(42,1),(43,1),(50,1),(78,1),(80,1),(81,1),(112,1)}
        63:{4,7}:{(43,1),(51,1)}
        64:{2,4,7}:{(44,1),(45,1),(82,1),(83,1),(108,1)}
        65:{3,4,6}:{(44,1),(46,1),(83,1),(84,1),(87,1)}
        66:{1,3,5,7}:{(45,1),(48,1),(72,1),(82,1),(85,1),(86,1),(107,1),(113,1),(115,1),(129,1)}
        67:{2,3,6}:{(45,1),(46,1),(49,1),(83,1),(86,1)}
        68:{3,5,6}:{(46,1),(47,1),(74,1),(78,1),(84,1),(87,1)}
        69:{1,6}:{(48,1),(49,1)}
        70:{2,5,6}:{(49,1),(50,1),(76,1),(80,1),(88,1),(89,1)}
        71:{1,4,6}:{(50,1),(51,1),(77,1),(81,1),(87,1),(89,1),(130,1)}
        72:{1,3,7}:{(52,1),(55,1),(90,1),(91,1),(134,1),(138,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(91,1),(92,1),(105,1),(122,1),(124,1),(131,1)}
        74:{3,5}:{(53,1),(54,1),(93,1)}
        75:{1,4,6}:{(55,1),(56,1),(69,1),(91,1),(94,1),(118,1)}
        76:{2,5}:{(56,1),(57,1),(94,1)}
        77:{1,4,5}:{(57,1),(58,1),(71,1),(93,1),(95,1),(102,1),(118,1),(133,1),(135,1)}
        78:{3,5,7}:{(59,1),(60,1),(68,1),(96,1)}
        79:{1,6,7}:{(61,1),(69,1),(97,1),(134,1)}
        80:{2,5,7}:{(61,1),(62,1),(70,1),(97,1),(98,1)}
        81:{1,4,7}:{(62,1),(63,1),(71,1),(96,1),(98,1),(134,1)}
        82:{1,4,7}:{(64,1),(66,1),(99,1),(100,1),(118,1),(135,1)}
        83:{2,4,6}:{(64,1),(65,1),(67,1),(100,1),(101,1)}
        84:{3,5}:{(65,1),(101,1),(102,1)}
        85:{2,5,7}:{(66,1),(90,1),(99,1),(103,1),(117,1),(123,1)}
        86:{1,3,6}:{(66,1),(67,1),(69,1),(100,1),(103,1),(122,1)}
        87:{4,6}:{(68,1),(93,1),(96,1),(102,1)}
        88:{1,5,6}:{(69,1),(70,1),(94,1),(97,1),(104,1)}
        89:{2,4,6}:{(70,1),(71,1),(95,1),(98,1),(104,1),(105,1),(124,1)}
        90:{2,7}:{(72,1),(106,1),(139,1)}
        91:{1,3,6}:{(72,1),(73,1),(75,1),(106,1),(107,1),(130,1)}
        92:{2,3,5}:{(73,1),(74,1),(76,1),(107,1),(108,1),(110,1),(127,1),(129,1),(136,1)}
        93:{4}:{(74,1)}
        94:{1,5}:{(75,1),(76,1)}
        95:{2,4,5}:{(76,1),(77,1),(89,1),(108,1),(109,1),(110,1),(125,1),(127,1)}
        96:{4,7}:{(78,1),(87,1)}
        97:{1,5,7}:{(79,1),(80,1),(88,1),(111,1)}
        98:{2,4,7}:{(80,1),(81,1),(89,1),(111,1),(112,1),(128,1)}
        99:{2,4,7}:{(82,1),(85,1),(113,1),(114,1),(125,1)}
       100:{1,4,6}:{(82,1),(83,1),(86,1),(114,1),(115,1)}
       101:{2,5}:{(83,1),(84,1),(115,1)}
       102:{4,5}:{(84,1),(87,1)}
       103:{2,6}:{(85,1),(86,1)}
       104:{1,4,6}:{(88,1),(89,1),(109,1),(111,1),(116,1)}
       105:{3,6}:{(89,1),(110,1),(112,1)}
       106:{2,6}:{(90,1),(91,1),(117,1)}
       107:{1,3,5}:{(91,1),(92,1),(94,1),(117,1),(118,1),(131,1),(133,1),(138,1)}
       108:{2,4}:{(92,1),(93,1),(118,1),(119,1),(135,1)}
       109:{1,4,5}:{(94,1),(95,1),(104,1),(118,1),(120,1)}
       110:{3,5}:{(95,1),(105,1),(119,1),(131,1)}
       111:{1,4,7}:{(97,1),(98,1),(104,1),(121,1)}
       112:{3,7}:{(98,1),(105,1)}
       113:{3,7}:{(99,1),(122,1),(131,1)}
       114:{2,4,6}:{(99,1),(100,1),(103,1),(122,1),(123,1),(135,1)}
       115:{1,5}:{(100,1),(101,1),(123,1)}
       116:{1,3,6}:{(104,1),(105,1),(120,1),(121,1),(124,1)}
       117:{2,5}:{(106,1),(107,1),(125,1),(139,1)}
       118:{1,4}:{(107,1),(108,1),(125,1)}
       119:{3,4}:{(108,1),(110,1)}
       120:{1,3,5}:{(109,1),(110,1),(116,1),(126,1),(127,1)}
       121:{1,3,7}:{(111,1),(112,1),(116,1),(128,1)}
       122:{3,6}:{(113,1),(114,1),(129,1)}
       123:{2,5}:{(114,1),(115,1),(129,1)}
       124:{2,6}:{(116,1),(127,1),(128,1),(130,1)}
       125:{2,4}:{(117,1),(118,1),(131,1)}
       126:{1,3,4}:{(118,1),(119,1),(120,1),(131,1),(132,1),(138,1)}
       127:{2,5}:{(120,1),(124,1),(132,1),(133,1)}
       128:{2,7}:{(121,1),(124,1),(134,1)}
       129:{3,5}:{(122,1),(123,1),(135,1)}
       130:{1,6}:{(124,1),(133,1),(134,1)}
       131:{3}:{(125,1)}
       132:{2,4}:{(126,1),(127,1),(136,1),(137,1),(139,1)}
       133:{1,5}:{(127,1),(130,1),(137,1)}
       134:{1,7}:{(128,1),(130,1)}
       135:{4}:{(129,1)}
       136:{2,3}:{(131,1),(132,1),(138,1)}
       137:{1,4}:{(132,1),(133,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 494 :   0:{2,4,5,6}:{(1,1),(2,1),(3,1),(19,1),(22,1),(133,1),(134,1),(146,1),(256,1),(363,1),(374,1),(462,1)}
         1:{1,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(41,1),(45,1),(100,1),(182,1),(209,1),(306,1),(325,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(196,1),(311,1),(425,1)}
         3:{2,4,5,7}:{(0,1),(7,1),(10,1),(11,1),(42,1),(46,1),(117,1),(118,1),(197,1),(314,1),(427,1)}
         4:{2,3,4,6}:{(13,1),(14,1),(15,1),(22,1),(59,1),(69,1),(122,1),(123,1),(220,1),(252,1),(261,1),(339,1)}
         5:{2,4,5,6}:{(1,1),(16,1),(17,1),(19,1),(63,1),(75,1),(165,1),(235,1),(247,1),(248,1),(273,1),(352,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(16,1),(18,1),(19,1),(20,1),(263,1),(381,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(17,1),(20,1),(21,1),(73,1),(76,1),(147,1),(164,1),(255,1)}
         8:{3,4,6}:{(2,1),(12,1),(22,1),(23,1),(462,1)}
         9:{2,3,5,6}:{(2,1),(13,1),(19,1),(22,1),(24,1),(25,1),(59,1),(69,1),(133,1)}
        10:{3,5,7}:{(2,1),(3,1),(23,1),(26,1),(253,1)}
        11:{2,4,6,7}:{(3,1),(21,1),(26,1),(27,1),(74,1),(82,1),(374,1)}
        12:{3,4,5}:{(8,1),(29,1),(277,1),(311,1),(498,1)}
        13:{2,3,5}:{(4,1),(29,1),(31,1),(311,1),(320,1),(396,1)}
        14:{1,3,4,6}:{(4,1),(31,1),(33,1),(34,1),(45,1),(86,1),(94,1),(107,1),(114,1),(168,1),(174,1),(179,1),(288,1),(293,1),(318,1)}
        15:{2,3,4,7}:{(4,1),(32,1),(34,1),(46,1),(108,1),(171,1),(279,1),(312,1),(321,1)}
        16:{3,5,6}:{(5,1),(35,1),(37,1),(114,1),(212,1),(328,1)}
        17:{2,4,5,7}:{(5,1),(7,1),(37,1),(38,1),(42,1),(101,1),(115,1),(199,1),(200,1),(215,1),(330,1)}
        18:{1,3,4,6}:{(6,1),(8,1),(28,1),(35,1),(39,1),(40,1),(45,1),(100,1),(107,1),(114,1),(196,1)}
        19:{2,5,6}:{(6,1),(39,1),(41,1),(42,1),(320,1),(433,1)}
        20:{1,3,5,7}:{(6,1),(7,1),(10,1),(37,1),(40,1),(42,1),(43,1)}
        21:{1,4,6,7}:{(7,1),(11,1),(38,1),(43,1),(44,1),(113,1),(325,1)}
        22:{2,4,6}:{(8,1),(9,1),(29,1),(45,1),(46,1)}
        23:{3,4,7}:{(8,1),(10,1),(46,1),(427,1)}
        24:{1,3,5,6}:{(9,1),(31,1),(41,1),(45,1),(48,1),(49,1),(94,1),(107,1),(114,1),(182,1),(294,1)}
        25:{2,3,5,7}:{(9,1),(10,1),(42,1),(46,1),(49,1),(50,1),(108,1),(117,1)}
        26:{3,6,7}:{(10,1),(11,1),(425,1)}
        27:{2,5,6,7}:{(11,1),(44,1),(51,1),(117,1),(314,1),(429,1)}
        28:{1,3,4,5}:{(12,1),(18,1),(52,1),(54,1),(62,1),(124,1),(130,1),(141,1),(226,1),(244,1),(263,1)}
        29:{2,4,5}:{(12,1),(13,1),(22,1),(54,1),(220,1)}
        30:{3,4,5,7}:{(12,1),(23,1),(55,1),(56,1),(78,1),(336,1),(370,1),(443,1),(471,1)}
        31:{1,3,5}:{(13,1),(14,1),(54,1),(57,1),(130,1),(347,1),(351,1),(376,1)}
        32:{2,3,5,7}:{(13,1),(15,1),(55,1),(58,1),(59,1),(370,1),(379,1)}
        33:{2,4,6}:{(14,1),(57,1),(60,1),(61,1),(135,1),(137,1),(154,1),(219,1)}
        34:{1,3,4,7}:{(14,1),(15,1),(58,1),(61,1),(76,1),(129,1),(155,1),(162,1),(228,1),(233,1),(377,1)}
        35:{3,4,6}:{(16,1),(62,1),(63,1),(64,1),(352,1)}
        36:{2,3,5,6}:{(16,1),(19,1),(63,1),(65,1),(66,1),(69,1),(140,1),(243,1),(247,1)}
        37:{3,5,7}:{(16,1),(17,1),(64,1),(67,1),(162,1)}
        38:{2,4,6,7}:{(17,1),(21,1),(67,1),(68,1),(74,1),(153,1),(273,1)}
        39:{2,4,6}:{(18,1),(19,1),(52,1),(69,1),(70,1),(71,1),(154,1)}
        40:{1,3,4,7}:{(18,1),(20,1),(23,1),(64,1),(71,1),(76,1),(147,1),(155,1),(162,1),(253,1)}
        41:{1,5,6}:{(19,1),(70,1),(73,1),(376,1),(474,1)}
        42:{2,5,7}:{(19,1),(20,1),(71,1),(73,1),(74,1)}
        43:{1,3,6,7}:{(20,1),(21,1),(26,1),(67,1),(74,1),(381,1)}
        44:{1,5,6,7}:{(21,1),(27,1),(68,1),(164,1),(255,1),(383,1)}
        45:{1,4,6}:{(22,1),(24,1),(54,1),(75,1),(76,1),(352,1)}
        46:{2,4,7}:{(22,1),(23,1),(25,1),(76,1)}
        47:{3,4,6,7}:{(23,1),(26,1),(56,1),(77,1),(78,1),(82,1)}
        48:{2,5,6}:{(24,1),(57,1),(75,1),(80,1),(137,1),(154,1)}
        49:{1,3,5,7}:{(24,1),(25,1),(73,1),(76,1),(80,1),(81,1),(155,1),(162,1),(164,1),(271,1)}
        50:{2,3,6,7}:{(25,1),(26,1),(59,1),(74,1),(77,1),(81,1)}
        51:{3,5,6,7}:{(26,1),(27,1),(78,1),(82,1),(372,1),(470,1)}
        52:{2,4,5}:{(28,1),(39,1),(83,1),(84,1),(172,1),(284,1),(320,1)}
        53:{1,2,4,6}:{(33,1),(85,1),(86,1),(87,1),(170,1),(174,1),(176,1),(204,1),(275,1),(288,1),(318,1)}
        54:{1,4,5}:{(29,1),(31,1),(45,1),(88,1),(174,1),(405,1)}
        55:{2,4,5,7}:{(29,1),(30,1),(32,1),(46,1),(89,1),(90,1),(117,1),(279,1),(396,1)}
        56:{3,4,6}:{(30,1),(90,1),(91,1),(425,1),(505,1)}
        57:{2,5}:{(31,1),(33,1)}
        58:{1,3,5,7}:{(31,1),(32,1),(34,1),(89,1),(93,1),(94,1),(180,1),(431,1)}
        59:{2,3,6}:{(32,1),(90,1),(94,1),(425,1),(433,1)}
        60:{2,3,6}:{(33,1),(86,1),(92,1),(96,1),(114,1),(276,1)}
        61:{2,4,7}:{(33,1),(34,1),(93,1),(96,1),(206,1)}
        62:{3,4,5}:{(35,1),(97,1),(212,1),(405,1),(486,1)}
        63:{2,4,6}:{(35,1),(36,1),(97,1),(100,1),(101,1)}
        64:{3,4,7}:{(35,1),(37,1),(101,1),(330,1)}
        65:{1,3,5,6}:{(36,1),(41,1),(100,1),(103,1),(104,1),(107,1),(188,1),(196,1),(302,1),(306,1),(417,1)}
        66:{2,3,5,7}:{(36,1),(37,1),(42,1),(101,1),(104,1),(105,1),(108,1),(199,1)}
        67:{3,6,7}:{(37,1),(38,1),(328,1)}
        68:{2,5,6,7}:{(38,1),(44,1),(106,1),(199,1),(215,1),(332,1)}
        69:{2,3,6}:{(39,1),(83,1),(107,1),(108,1),(114,1),(196,1)}
        70:{1,4,6}:{(39,1),(41,1),(84,1),(107,1),(110,1)}
        71:{2,4,7}:{(39,1),(40,1),(42,1),(108,1),(110,1),(206,1)}
        72:{1,2,5,6}:{(41,1),(48,1),(85,1),(103,1),(109,1),(111,1),(112,1),(176,1),(204,1),(281,1),(299,1),(320,1),(410,1),(430,1),(433,1),(499,1)}
        73:{1,5,7}:{(41,1),(42,1),(110,1),(113,1)}
        74:{2,6,7}:{(42,1),(43,1),(113,1),(433,1)}
        75:{2,4,6}:{(45,1),(48,1),(88,1),(114,1),(115,1)}
        76:{1,4,7}:{(45,1),(46,1),(49,1),(115,1),(330,1)}
        77:{2,4,6,7}:{(46,1),(47,1),(50,1),(90,1),(116,1),(117,1)}
        78:{3,5,7}:{(47,1),(91,1),(117,1),(118,1)}
        79:{2,3,5,6}:{(48,1),(92,1),(111,1),(114,1),(119,1),(120,1),(185,1),(205,1),(212,1),(294,1),(297,1),(320,1),(328,1),(332,1),(407,1),(433,1),(489,1),(499,1),(529,1),(534,1),(547,1)}
        80:{2,5,7}:{(48,1),(49,1),(115,1),(121,1),(206,1)}
        81:{1,3,6,7}:{(49,1),(50,1),(94,1),(113,1),(116,1),(121,1),(214,1)}
        82:{4,6,7}:{(51,1),(118,1),(427,1),(505,1)}
        83:{2,3,5}:{(52,1),(69,1),(122,1),(124,1),(130,1),(244,1)}
        84:{1,4,5}:{(52,1),(70,1),(124,1),(342,1),(376,1)}
        85:{1,2,5}:{(53,1),(57,1),(126,1),(222,1),(347,1),(376,1)}
        86:{1,3,6}:{(53,1),(60,1),(123,1),(126,1),(129,1),(333,1)}
        87:{1,2,4,7}:{(53,1),(61,1),(127,1),(129,1),(223,1),(228,1),(260,1),(377,1)}
        88:{2,4,5}:{(54,1),(57,1),(75,1),(130,1),(135,1)}
        89:{1,4,5,7}:{(54,1),(55,1),(58,1),(76,1),(131,1),(132,1),(164,1),(228,1),(347,1)}
        90:{2,4,6}:{(55,1),(56,1),(59,1),(132,1),(133,1)}
        91:{3,5,6}:{(56,1),(78,1),(133,1),(134,1),(443,1)}
        92:{2,3,5}:{(57,1),(60,1),(126,1),(130,1),(135,1)}
        93:{2,5,7}:{(57,1),(58,1),(61,1),(137,1)}
        94:{1,3,6}:{(58,1),(59,1),(132,1),(137,1),(234,1),(474,1)}
        95:{2,3,4,6}:{(60,1),(128,1),(135,1),(138,1),(139,1),(161,1),(236,1),(238,1),(240,1),(261,1),(334,1),(440,1)}
        96:{2,3,7}:{(60,1),(61,1),(129,1),(162,1)}
        97:{2,4,5}:{(62,1),(63,1),(140,1),(141,1),(451,1)}
        98:{3,4,5,7}:{(62,1),(64,1),(142,1),(143,1),(149,1),(269,1),(386,1),(512,1),(542,1)}
        99:{2,3,4,6}:{(63,1),(69,1),(122,1),(140,1),(144,1),(145,1),(161,1),(243,1),(261,1),(364,1),(451,1),(515,1)}
       100:{1,4,6}:{(63,1),(65,1),(141,1),(146,1),(147,1),(462,1)}
       101:{2,4,7}:{(63,1),(64,1),(66,1),(147,1)}
       102:{3,4,6,7}:{(64,1),(67,1),(143,1),(148,1),(149,1),(153,1)}
       103:{2,5,6}:{(65,1),(146,1),(151,1),(154,1),(241,1),(359,1)}
       104:{1,3,5,7}:{(65,1),(66,1),(73,1),(147,1),(151,1),(152,1),(155,1),(253,1),(255,1),(372,1)}
       105:{2,3,6,7}:{(66,1),(67,1),(74,1),(148,1),(152,1),(243,1)}
       106:{3,5,6,7}:{(67,1),(68,1),(149,1),(153,1),(271,1),(385,1)}
       107:{1,3,6}:{(69,1),(70,1),(124,1),(154,1),(155,1)}
       108:{2,3,7}:{(69,1),(71,1),(155,1),(162,1),(253,1)}
       109:{1,2,4,6}:{(70,1),(72,1),(75,1),(125,1),(146,1),(154,1),(156,1),(157,1),(158,1),(261,1),(337,1),(446,1),(507,1),(513,1)}
       110:{1,4,7}:{(70,1),(71,1),(73,1),(155,1)}
       111:{1,3,5,6}:{(72,1),(79,1),(126,1),(150,1),(156,1),(158,1),(159,1),(229,1),(259,1),(263,1),(347,1),(355,1),(376,1),(381,1),(383,1),(455,1),(474,1),(518,1)}
       112:{1,2,5,7}:{(72,1),(73,1),(80,1),(151,1),(157,1),(159,1),(160,1),(260,1),(340,1),(379,1),(473,1),(523,1)}
       113:{1,6,7}:{(73,1),(74,1),(474,1)}
       114:{3,6}:{(75,1),(130,1),(162,1)}
       115:{2,4,7}:{(75,1),(76,1),(80,1),(162,1)}
       116:{1,4,6,7}:{(76,1),(77,1),(81,1),(132,1),(163,1),(164,1)}
       117:{2,5,7}:{(77,1),(78,1),(133,1),(164,1)}
       118:{4,5,7}:{(78,1),(82,1),(134,1)}
       119:{2,4,6}:{(79,1),(135,1),(158,1),(161,1),(165,1),(166,1),(352,1),(451,1),(551,1)}
       120:{2,3,5,7}:{(79,1),(80,1),(159,1),(162,1),(166,1),(167,1),(262,1),(269,1),(271,1),(274,1),(379,1),(523,1),(540,1),(550,1)}
       121:{2,6,7}:{(80,1),(81,1),(137,1)}
       122:{2,3,4}:{(83,1),(168,1),(179,1),(284,1),(303,1),(388,1)}
       123:{2,3,6}:{(86,1),(169,1),(170,1),(171,1),(388,1),(391,1)}
       124:{1,3,5}:{(83,1),(84,1),(107,1),(168,1),(172,1)}
       125:{1,2,4,5}:{(84,1),(85,1),(88,1),(109,1),(172,1),(173,1),(174,1),(190,1),(209,1),(275,1),(278,1),(284,1),(299,1),(320,1),(398,1),(408,1),(477,1),(487,1)}
       126:{1,3,5}:{(85,1),(86,1),(92,1),(169,1),(174,1)}
       127:{1,2,5,7}:{(85,1),(87,1),(93,1),(175,1),(176,1),(282,1),(431,1)}
       128:{1,3,4,6}:{(86,1),(95,1),(170,1),(174,1),(177,1),(178,1),(277,1),(286,1),(288,1),(290,1),(318,1),(389,1),(391,1),(393,1),(478,1)}
       129:{1,3,7}:{(86,1),(87,1),(96,1),(171,1)}
       130:{3,5}:{(88,1),(114,1),(179,1)}
       131:{2,4,5,7}:{(88,1),(89,1),(93,1),(115,1),(180,1),(181,1),(184,1),(215,1),(297,1),(330,1),(405,1)}
       132:{1,4,6}:{(89,1),(90,1),(94,1),(181,1),(182,1)}
       133:{2,5,6}:{(90,1),(91,1),(117,1),(182,1),(396,1)}
       134:{4,5,6}:{(91,1),(118,1),(482,1),(505,1)}
       135:{2,4}:{(92,1),(174,1),(179,1)}
       136:{2,3,5,7}:{(92,1),(93,1),(96,1),(175,1),(180,1),(184,1),(185,1),(297,1)}
       137:{2,6}:{(93,1),(94,1)}
       138:{2,3,5}:{(95,1),(177,1),(183,1),(212,1),(297,1),(320,1)}
       139:{2,3,4,7}:{(95,1),(96,1),(178,1),(184,1),(187,1),(213,1),(295,1),(321,1),(479,1)}
       140:{2,3,5}:{(97,1),(99,1),(188,1),(212,1),(320,1),(534,1)}
       141:{1,4,5}:{(97,1),(100,1),(188,1),(190,1),(408,1),(498,1)}
       142:{2,4,5,7}:{(97,1),(98,1),(101,1),(189,1),(191,1),(192,1),(199,1),(488,1),(534,1)}
       143:{3,4,6}:{(98,1),(192,1),(193,1),(328,1),(437,1)}
       144:{1,3,4,6}:{(99,1),(100,1),(107,1),(168,1),(188,1),(194,1),(195,1),(196,1),(302,1),(303,1),(307,1),(318,1),(408,1),(416,1),(492,1)}
       145:{2,3,4,7}:{(99,1),(101,1),(108,1),(189,1),(195,1),(213,1),(321,1),(419,1),(488,1)}
       146:{2,4,6}:{(100,1),(103,1),(190,1),(196,1),(197,1)}
       147:{1,4,7}:{(100,1),(101,1),(104,1),(197,1),(427,1)}
       148:{2,4,6,7}:{(101,1),(102,1),(105,1),(192,1),(198,1),(199,1)}
       149:{3,5,7}:{(102,1),(193,1),(199,1),(200,1)}
       150:{2,3,5,6}:{(103,1),(111,1),(169,1),(196,1),(201,1),(202,1),(205,1),(280,1),(281,1),(300,1),(311,1),(320,1),(391,1),(396,1),(413,1),(417,1),(425,1),(429,1),(433,1),(481,1),(495,1)}
       151:{2,5,7}:{(103,1),(104,1),(197,1),(203,1),(206,1)}
       152:{1,3,6,7}:{(104,1),(105,1),(113,1),(198,1),(203,1),(302,1),(313,1)}
       153:{4,6,7}:{(106,1),(200,1),(330,1),(437,1)}
       154:{2,6}:{(107,1),(172,1),(206,1)}
       155:{1,3,7}:{(107,1),(108,1),(110,1),(206,1)}
       156:{1,3,6}:{(109,1),(114,1),(173,1),(196,1),(205,1),(208,1),(391,1),(529,1)}
       157:{1,2,4,7}:{(109,1),(110,1),(112,1),(115,1),(197,1),(206,1),(208,1),(210,1),(321,1),(394,1),(484,1),(527,1),(532,1)}
       158:{1,4,6}:{(111,1),(119,1),(174,1),(201,1),(209,1),(210,1),(408,1)}
       159:{1,3,5,7}:{(111,1),(112,1),(120,1),(202,1),(208,1),(210,1),(211,1),(319,1),(326,1),(431,1)}
       160:{1,2,6,7}:{(112,1),(113,1),(121,1),(176,1),(203,1),(211,1),(397,1),(410,1),(433,1),(506,1),(539,1)}
       161:{3,4,6}:{(114,1),(119,1),(179,1),(212,1),(213,1),(328,1),(486,1),(529,1)}
       162:{3,7}:{(114,1),(115,1)}
       163:{2,4,6,7}:{(115,1),(116,1),(121,1),(181,1),(214,1),(215,1),(330,1)}
       164:{1,5,7}:{(116,1),(117,1),(182,1),(215,1)}
       165:{2,4,5}:{(119,1),(209,1),(212,1),(297,1),(320,1),(405,1),(534,1),(548,1)}
       166:{2,4,7}:{(119,1),(120,1),(210,1),(213,1),(330,1),(552,1)}
       167:{2,3,6,7}:{(120,1),(121,1),(185,1),(211,1),(214,1),(218,1),(328,1),(433,1),(489,1),(539,1),(546,1)}
       168:{1,3,4}:{(122,1),(124,1),(219,1),(333,1),(342,1)}
       169:{2,3,5}:{(123,1),(126,1),(220,1),(222,1),(335,1)}
       170:{2,4,6}:{(123,1),(128,1),(220,1),(222,1),(223,1),(341,1),(438,1),(507,1)}
       171:{2,3,7}:{(123,1),(129,1),(223,1),(441,1)}
       172:{2,5}:{(124,1),(154,1),(219,1)}
       173:{1,3,5}:{(125,1),(130,1),(156,1),(225,1),(226,1),(244,1),(333,1),(335,1),(511,1)}
       174:{1,4}:{(126,1),(135,1),(220,1)}
       175:{1,3,5,7}:{(126,1),(127,1),(129,1),(136,1),(221,1),(228,1),(229,1),(347,1)}
       176:{1,2,6}:{(127,1),(137,1),(229,1),(341,1),(474,1)}
       177:{1,3,5}:{(128,1),(138,1),(222,1),(227,1),(335,1),(347,1),(376,1),(443,1)}
       178:{1,3,4,7}:{(128,1),(129,1),(139,1),(223,1),(228,1),(231,1),(336,1),(345,1),(377,1),(441,1),(508,1)}
       179:{3,4}:{(130,1),(135,1)}
       180:{3,5,7}:{(130,1),(131,1),(162,1),(233,1),(234,1),(351,1)}
       181:{2,4,6}:{(131,1),(132,1),(137,1),(234,1),(235,1),(352,1)}
       182:{1,5,6}:{(132,1),(133,1),(164,1),(235,1),(347,1)}
       183:{2,4,5}:{(135,1),(138,1),(227,1),(232,1),(236,1)}
       184:{2,4,7}:{(135,1),(136,1),(228,1),(233,1),(238,1)}
       185:{2,3,6}:{(136,1),(137,1),(229,1),(234,1),(238,1)}
       186:{2,3,5,6}:{(138,1),(230,1),(236,1),(239,1),(240,1),(268,1),(354,1),(378,1),(440,1)}
       187:{2,3,5,7}:{(138,1),(139,1),(231,1),(237,1),(240,1),(269,1),(379,1)}
       188:{1,3,5}:{(140,1),(141,1),(144,1),(241,1),(244,1),(376,1),(461,1),(518,1)}
       189:{2,3,5,7}:{(140,1),(142,1),(145,1),(242,1),(243,1),(269,1),(379,1)}
       190:{2,4,5}:{(141,1),(146,1),(241,1),(244,1),(357,1)}
       191:{1,4,5,7}:{(141,1),(142,1),(147,1),(242,1),(245,1),(246,1),(255,1),(454,1),(518,1)}
       192:{2,4,6}:{(142,1),(143,1),(243,1),(246,1),(247,1)}
       193:{3,5,6}:{(143,1),(149,1),(247,1),(248,1),(542,1)}
       194:{2,4,6}:{(144,1),(154,1),(219,1),(241,1),(250,1),(251,1),(357,1),(359,1)}
       195:{1,3,4,7}:{(144,1),(145,1),(147,1),(155,1),(242,1),(251,1),(253,1),(361,1),(366,1),(377,1),(454,1)}
       196:{3,6}:{(146,1),(244,1),(253,1)}
       197:{2,4,7}:{(146,1),(147,1),(151,1),(253,1)}
       198:{1,4,6,7}:{(147,1),(148,1),(152,1),(246,1),(254,1),(255,1)}
       199:{2,5,7}:{(148,1),(149,1),(247,1),(255,1)}
       200:{4,5,7}:{(149,1),(153,1),(248,1)}
       201:{2,4,6}:{(150,1),(158,1),(220,1),(252,1),(256,1),(257,1),(357,1),(462,1),(510,1)}
       202:{2,3,5,7}:{(150,1),(151,1),(159,1),(253,1),(257,1),(258,1),(262,1),(340,1),(370,1),(372,1),(375,1),(379,1),(441,1),(509,1)}
       203:{2,6,7}:{(151,1),(152,1),(359,1)}
       204:{1,2,6}:{(154,1),(224,1),(259,1),(260,1),(507,1)}
       205:{2,3,6}:{(154,1),(156,1),(225,1),(259,1),(261,1),(262,1),(507,1)}
       206:{2,7}:{(154,1),(155,1)}
       207:{1,3,4,6}:{(156,1),(158,1),(161,1),(226,1),(252,1),(261,1),(263,1),(264,1),(381,1)}
       208:{1,3,7}:{(156,1),(157,1),(162,1),(253,1),(262,1),(441,1),(540,1)}
       209:{1,4,5}:{(158,1),(165,1),(256,1),(263,1),(347,1),(376,1),(518,1)}
       210:{1,4,7}:{(158,1),(159,1),(166,1),(257,1)}
       211:{1,3,6,7}:{(159,1),(160,1),(167,1),(229,1),(258,1),(267,1),(381,1),(455,1),(474,1)}
       212:{3,5}:{(161,1),(165,1)}
       213:{3,4,7}:{(161,1),(162,1),(166,1),(269,1),(540,1)}
       214:{3,6,7}:{(162,1),(163,1),(234,1),(271,1)}
       215:{2,5,7}:{(163,1),(164,1),(235,1),(271,1)}
       216:{2,4,5,6}:{(165,1),(236,1),(265,1),(268,1),(272,1),(273,1),(354,1),(378,1),(450,1),(513,1),(544,1),(551,1)}
       217:{2,4,5,7}:{(165,1),(166,1),(266,1),(269,1),(273,1),(274,1),(379,1),(386,1)}
       218:{2,4,6,7}:{(166,1),(167,1),(238,1),(267,1),(270,1),(273,1),(274,1),(515,1)}
       219:{2,4}:{(168,1),(172,1),(276,1)}
       220:{2,4}:{(169,1),(174,1),(277,1)}
       221:{2,3,5,7}:{(169,1),(171,1),(175,1),(279,1),(280,1),(282,1),(392,1),(396,1)}
       222:{2,5}:{(170,1),(177,1)}
       223:{2,4,7}:{(170,1),(171,1),(178,1),(282,1),(527,1)}
       224:{1,2,5}:{(172,1),(204,1),(275,1),(283,1),(477,1)}
       225:{2,3,5}:{(172,1),(173,1),(205,1),(276,1),(283,1),(284,1),(320,1),(388,1),(477,1)}
       226:{1,3,4}:{(173,1),(174,1),(179,1),(277,1),(284,1),(303,1),(408,1),(486,1)}
       227:{1,4,5}:{(174,1),(177,1),(183,1),(278,1),(286,1),(482,1)}
       228:{1,4,7}:{(174,1),(175,1),(184,1),(279,1),(288,1)}
       229:{1,3,6}:{(175,1),(176,1),(185,1),(280,1),(288,1)}
       230:{1,3,5,6}:{(177,1),(186,1),(281,1),(286,1),(289,1),(290,1),(391,1),(402,1),(430,1),(478,1),(481,1)}
       231:{1,3,5,7}:{(177,1),(178,1),(187,1),(282,1),(287,1),(290,1),(392,1),(431,1)}
       232:{3,4,5}:{(179,1),(183,1),(212,1),(291,1),(548,1)}
       233:{3,4,7}:{(179,1),(180,1),(184,1),(293,1),(330,1)}
       234:{3,6}:{(180,1),(181,1)}
       235:{2,5,6}:{(181,1),(182,1),(215,1),(294,1),(297,1)}
       236:{2,4,6}:{(183,1),(186,1),(286,1),(291,1),(295,1)}
       237:{2,4,5,7}:{(183,1),(184,1),(187,1),(287,1),(292,1),(295,1),(296,1),(297,1),(406,1)}
       238:{2,4,6}:{(184,1),(185,1),(288,1),(293,1),(297,1)}
       239:{2,3,5,7}:{(186,1),(289,1),(295,1),(298,1),(327,1),(406,1),(432,1),(479,1)}
       240:{2,3,6}:{(187,1),(290,1),(296,1),(328,1),(433,1)}
       241:{2,5}:{(188,1),(194,1)}
       242:{1,3,5,7}:{(188,1),(189,1),(191,1),(195,1),(301,1),(302,1),(304,1),(431,1)}
       243:{2,3,6}:{(189,1),(192,1),(302,1),(328,1),(433,1)}
       244:{3,5}:{(190,1),(196,1),(303,1)}
       245:{2,4,5,7}:{(190,1),(191,1),(197,1),(301,1),(304,1),(305,1),(314,1),(412,1),(427,1),(495,1),(498,1)}
       246:{1,4,6}:{(191,1),(192,1),(302,1),(305,1),(306,1)}
       247:{2,5,6}:{(192,1),(193,1),(199,1),(306,1),(534,1)}
       248:{4,5,6}:{(193,1),(200,1),(437,1),(548,1)}
       249:{1,2,4,6}:{(194,1),(204,1),(275,1),(299,1),(307,1),(308,1),(318,1),(408,1),(410,1),(418,1),(492,1)}
       250:{2,3,6}:{(194,1),(196,1),(276,1),(300,1),(307,1),(310,1)}
       251:{2,4,7}:{(194,1),(195,1),(206,1),(301,1),(310,1)}
       252:{3,4,6}:{(196,1),(201,1),(277,1),(303,1),(311,1),(312,1),(391,1),(425,1)}
       253:{3,7}:{(196,1),(197,1)}
       254:{2,4,6,7}:{(197,1),(198,1),(203,1),(305,1),(313,1),(314,1),(427,1)}
       255:{1,5,7}:{(198,1),(199,1),(306,1),(314,1)}
       256:{2,4,5}:{(201,1),(209,1),(311,1),(320,1),(396,1),(482,1),(495,1),(498,1)}
       257:{2,4,7}:{(201,1),(202,1),(210,1),(312,1),(427,1),(528,1)}
       258:{2,3,6,7}:{(202,1),(203,1),(211,1),(280,1),(313,1),(317,1),(397,1),(413,1),(425,1),(433,1),(480,1)}
       259:{1,3,6}:{(204,1),(205,1),(283,1),(318,1),(319,1)}
       260:{1,2,7}:{(204,1),(206,1),(319,1),(527,1)}
       261:{2,4,6}:{(205,1),(207,1),(284,1),(318,1),(320,1),(321,1),(433,1)}
       262:{2,3,7}:{(205,1),(206,1),(208,1),(319,1),(321,1),(527,1)}
       263:{1,3,5}:{(207,1),(209,1),(212,1),(311,1),(320,1)}
       264:{1,3,4,7}:{(207,1),(208,1),(210,1),(213,1),(312,1),(321,1),(323,1)}
       265:{1,4,5,6}:{(209,1),(216,1),(286,1),(315,1),(322,1),(324,1),(325,1),(402,1),(430,1),(490,1),(536,1)}
       266:{1,4,5,7}:{(209,1),(210,1),(217,1),(316,1),(323,1),(325,1),(326,1),(431,1)}
       267:{1,4,6,7}:{(210,1),(211,1),(218,1),(288,1),(317,1),(325,1),(326,1),(492,1)}
       268:{3,5,6}:{(212,1),(216,1),(291,1),(327,1),(328,1),(529,1)}
       269:{3,5,7}:{(212,1),(213,1),(217,1),(328,1)}
       270:{3,4,6,7}:{(213,1),(214,1),(218,1),(293,1),(328,1),(329,1),(330,1),(437,1),(531,1),(546,1),(552,1)}
       271:{3,5,7}:{(214,1),(215,1),(294,1),(330,1)}
       272:{2,4,5,7}:{(216,1),(295,1),(324,1),(327,1),(331,1),(406,1),(432,1),(485,1),(532,1),(549,1),(552,1)}
       273:{2,4,6}:{(217,1),(325,1),(328,1),(332,1),(433,1),(437,1)}
       274:{2,5,7}:{(218,1),(297,1),(326,1),(329,1),(332,1),(534,1)}
       275:{1,2,4}:{(219,1),(224,1),(333,1),(342,1),(438,1)}
       276:{2,3}:{(219,1),(333,1)}
       277:{3,4}:{(220,1),(335,1)}
       278:{2,4,5}:{(220,1),(222,1),(227,1),(335,1),(337,1)}
       279:{2,4,7}:{(220,1),(221,1),(228,1),(336,1),(339,1)}
       280:{2,3,6}:{(221,1),(229,1),(339,1),(341,1),(442,1)}
       281:{2,5,6}:{(222,1),(230,1),(337,1),(340,1),(341,1),(507,1)}
       282:{2,5,7}:{(222,1),(223,1),(231,1),(341,1)}
       283:{1,3,5}:{(224,1),(225,1),(259,1),(333,1),(342,1),(376,1)}
       284:{2,4}:{(225,1),(226,1),(342,1)}
       285:{1,3,4,5}:{(226,1),(227,1),(232,1),(263,1),(335,1),(343,1),(344,1),(360,1),(439,1),(453,1),(511,1)}
       286:{1,4,6}:{(227,1),(230,1),(236,1),(337,1),(345,1),(510,1)}
       287:{1,4,5,7}:{(227,1),(228,1),(231,1),(237,1),(338,1),(345,1),(346,1),(347,1),(448,1)}
       288:{1,4,6}:{(228,1),(229,1),(238,1),(339,1),(347,1)}
       289:{1,3,5,7}:{(230,1),(239,1),(340,1),(345,1),(348,1),(441,1),(448,1),(473,1),(508,1),(509,1)}
       290:{1,3,6}:{(231,1),(240,1),(341,1),(346,1),(442,1),(474,1)}
       291:{3,4,6}:{(232,1),(236,1),(268,1),(349,1),(551,1)}
       292:{3,4,5,7}:{(232,1),(233,1),(237,1),(269,1),(349,1),(350,1),(351,1),(386,1),(449,1)}
       293:{3,4,6}:{(233,1),(234,1),(238,1),(351,1),(352,1)}
       294:{3,5,6}:{(234,1),(235,1),(271,1),(351,1),(352,1)}
       295:{2,4,7}:{(236,1),(239,1),(345,1),(349,1)}
       296:{2,4,6}:{(237,1),(240,1),(346,1),(350,1),(354,1)}
       297:{2,5}:{(238,1),(347,1),(351,1)}
       298:{2,3,6,7}:{(239,1),(240,1),(348,1),(353,1),(384,1),(475,1)}
       299:{1,2,5}:{(241,1),(249,1),(355,1),(376,1),(463,1),(518,1)}
       300:{2,3,5}:{(241,1),(244,1),(250,1),(355,1),(357,1)}
       301:{2,5,7}:{(241,1),(242,1),(251,1),(359,1)}
       302:{1,3,6}:{(242,1),(243,1),(246,1),(359,1),(362,1),(474,1)}
       303:{3,4}:{(244,1),(357,1)}
       304:{3,5,7}:{(244,1),(245,1),(253,1),(361,1),(362,1),(461,1)}
       305:{2,4,6}:{(245,1),(246,1),(359,1),(362,1),(363,1),(462,1)}
       306:{1,5,6}:{(246,1),(247,1),(255,1),(363,1),(518,1)}
       307:{1,3,6}:{(249,1),(250,1),(333,1),(355,1),(364,1),(366,1)}
       308:{1,2,4,7}:{(249,1),(251,1),(260,1),(356,1),(366,1),(377,1),(454,1),(464,1)}
       309:{2,3,4,6}:{(250,1),(252,1),(261,1),(334,1),(357,1),(365,1),(367,1),(368,1),(440,1),(456,1),(458,1),(468,1)}
       310:{2,3,7}:{(250,1),(251,1),(253,1),(366,1)}
       311:{3,5}:{(252,1),(256,1)}
       312:{3,4,7}:{(252,1),(253,1),(257,1),(370,1),(441,1)}
       313:{3,6,7}:{(253,1),(254,1),(362,1),(372,1)}
       314:{2,5,7}:{(254,1),(255,1),(363,1),(372,1)}
       315:{2,4,5,6}:{(256,1),(265,1),(337,1),(369,1),(373,1),(374,1),(378,1),(445,1),(456,1),(510,1),(520,1),(522,1)}
       316:{2,4,5,7}:{(256,1),(257,1),(266,1),(370,1),(374,1),(375,1),(379,1),(471,1)}
       317:{2,4,6,7}:{(257,1),(258,1),(267,1),(339,1),(371,1),(374,1),(375,1),(458,1)}
       318:{1,4,6}:{(259,1),(261,1),(342,1),(376,1),(377,1),(474,1)}
       319:{1,3,7}:{(259,1),(260,1),(262,1),(377,1)}
       320:{2,5}:{(261,1),(263,1),(376,1)}
       321:{2,4,7}:{(261,1),(262,1),(264,1),(377,1),(379,1)}
       322:{1,3,5,6}:{(263,1),(265,1),(268,1),(344,1),(369,1),(378,1),(380,1),(381,1)}
       323:{1,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(370,1),(379,1),(381,1)}
       324:{1,4,5,7}:{(265,1),(272,1),(345,1),(373,1),(380,1),(382,1),(448,1),(473,1),(516,1),(545,1)}
       325:{1,4,6}:{(266,1),(273,1),(374,1),(381,1),(383,1),(474,1)}
       326:{1,5,7}:{(267,1),(274,1),(347,1),(375,1),(383,1),(518,1)}
       327:{3,5,7}:{(268,1),(272,1),(349,1),(384,1),(540,1)}
       328:{3,6}:{(269,1),(273,1)}
       329:{3,5,7}:{(270,1),(274,1),(351,1),(385,1),(386,1),(542,1)}
       330:{4,7}:{(271,1),(352,1)}
       331:{2,4,6,7}:{(272,1),(273,1),(382,1),(384,1),(387,1),(475,1),(476,1)}
       332:{2,5,6}:{(273,1),(274,1),(383,1),(385,1)}
       333:{1,3}:{(275,1),(276,1),(388,1)}
       334:{2,3,4}:{(276,1),(277,1),(284,1),(389,1),(390,1),(486,1)}
       335:{3,5}:{(277,1),(278,1),(391,1)}
       336:{3,4,7}:{(277,1),(279,1),(392,1),(393,1),(528,1)}
       337:{2,4,6}:{(278,1),(281,1),(286,1),(391,1),(394,1)}
       338:{2,4,5,7}:{(278,1),(279,1),(282,1),(287,1),(392,1),(394,1),(395,1),(396,1),(482,1),(483,1),(528,1)}
       339:{2,4,6}:{(279,1),(280,1),(288,1),(393,1),(396,1)}
       340:{2,5,7}:{(281,1),(289,1),(394,1),(397,1),(527,1)}
       341:{2,6}:{(282,1),(290,1)}
       342:{1,4}:{(283,1),(284,1)}
       343:{2,4,5}:{(284,1),(285,1),(320,1),(390,1),(398,1),(399,1),(477,1)}
       344:{1,3,4,6}:{(285,1),(286,1),(291,1),(322,1),(391,1),(399,1),(400,1),(414,1),(478,1),(490,1),(529,1)}
       345:{1,4,7}:{(286,1),(289,1),(295,1),(394,1),(528,1)}
       346:{1,4,6}:{(287,1),(290,1),(296,1),(395,1),(402,1)}
       347:{1,5}:{(288,1),(297,1),(396,1)}
       348:{1,3,6,7}:{(289,1),(290,1),(298,1),(397,1),(401,1),(480,1),(506,1)}
       349:{3,4,7}:{(291,1),(295,1),(327,1),(552,1)}
       350:{3,4,6}:{(292,1),(296,1),(328,1),(404,1),(437,1)}
       351:{3,5}:{(293,1),(297,1),(405,1)}
       352:{4,6}:{(294,1),(330,1),(405,1)}
       353:{2,4,6,7}:{(295,1),(296,1),(298,1),(401,1),(403,1),(406,1)}
       354:{2,5,6}:{(296,1),(297,1),(402,1),(404,1),(406,1)}
       355:{1,3,5}:{(299,1),(300,1),(307,1),(407,1),(408,1)}
       356:{1,2,5,7}:{(299,1),(301,1),(308,1),(409,1),(410,1),(431,1),(500,1)}
       357:{2,4}:{(300,1),(303,1),(408,1)}
       358:{2,3,5,7}:{(300,1),(301,1),(304,1),(310,1),(409,1),(412,1),(413,1),(495,1)}
       359:{2,6}:{(301,1),(302,1)}
       360:{3,4,5}:{(303,1),(311,1),(411,1),(414,1),(482,1)}
       361:{3,4,7}:{(303,1),(304,1),(412,1),(416,1),(427,1)}
       362:{3,6}:{(304,1),(305,1)}
       363:{2,5,6}:{(305,1),(306,1),(314,1),(417,1),(495,1)}
       364:{2,3,6}:{(307,1),(388,1),(407,1),(418,1),(419,1),(529,1)}
       365:{1,3,4,6}:{(307,1),(309,1),(318,1),(389,1),(408,1),(418,1),(420,1),(421,1),(478,1),(486,1),(490,1),(492,1),(502,1),(529,1),(531,1)}
       366:{1,3,7}:{(307,1),(308,1),(310,1),(419,1)}
       367:{2,3,5}:{(309,1),(311,1),(320,1),(411,1),(420,1),(495,1)}
       368:{2,3,4,7}:{(309,1),(310,1),(312,1),(321,1),(412,1),(421,1),(423,1),(479,1),(493,1)}
       369:{3,5,6}:{(311,1),(315,1),(391,1),(414,1),(424,1),(425,1)}
       370:{3,5,7}:{(311,1),(312,1),(316,1),(425,1)}
       371:{3,4,6,7}:{(312,1),(313,1),(317,1),(393,1),(416,1),(425,1),(426,1),(427,1),(480,1),(505,1),(528,1)}
       372:{3,5,7}:{(313,1),(314,1),(417,1),(427,1)}
       373:{2,4,5,7}:{(315,1),(324,1),(394,1),(424,1),(428,1),(432,1),(483,1),(493,1),(528,1),(537,1),(538,1)}
       374:{2,4,6}:{(316,1),(325,1),(425,1),(429,1),(433,1),(505,1)}
       375:{2,5,7}:{(317,1),(326,1),(396,1),(426,1),(429,1),(495,1)}
       376:{1,5}:{(318,1),(320,1)}
       377:{1,4,7}:{(318,1),(319,1),(321,1),(431,1)}
       378:{2,5,6}:{(320,1),(322,1),(399,1),(430,1),(432,1),(433,1)}
       379:{2,5,7}:{(320,1),(321,1),(323,1),(431,1),(433,1)}
       380:{1,3,5,7}:{(322,1),(324,1),(327,1),(400,1),(424,1),(432,1),(434,1)}
       381:{1,3,6}:{(323,1),(325,1),(328,1),(425,1),(433,1)}
       382:{1,4,6,7}:{(324,1),(325,1),(331,1),(428,1),(434,1),(435,1),(506,1)}
       383:{1,5,6}:{(325,1),(326,1),(332,1),(429,1)}
       384:{3,6,7}:{(327,1),(328,1),(331,1)}
       385:{3,5,6}:{(328,1),(329,1),(332,1),(437,1)}
       386:{4,5,7}:{(329,1),(330,1),(405,1),(437,1),(548,1),(552,1)}
       387:{2,5,6,7}:{(331,1),(332,1),(406,1),(435,1),(436,1),(549,1)}
       388:{2,3}:{(333,1),(438,1)}
       389:{1,3,4}:{(333,1),(334,1),(342,1),(438,1),(439,1)}
       390:{2,3,5}:{(334,1),(335,1),(343,1),(439,1),(440,1),(511,1)}
       391:{3,6}:{(335,1),(337,1),(441,1)}
       392:{3,5,7}:{(335,1),(336,1),(338,1),(441,1),(442,1),(443,1)}
       393:{3,4,6}:{(336,1),(339,1),(442,1),(443,1),(510,1)}
       394:{2,4,7}:{(337,1),(340,1),(345,1),(441,1)}
       395:{2,4,6}:{(338,1),(341,1),(346,1),(442,1),(445,1),(510,1)}
       396:{2,5}:{(339,1),(347,1),(443,1)}
       397:{2,6,7}:{(340,1),(341,1),(348,1)}
       398:{1,4,5}:{(342,1),(343,1),(376,1),(439,1),(446,1)}
       399:{2,4,6}:{(343,1),(344,1),(378,1),(440,1),(446,1),(447,1),(507,1)}
       400:{1,3,4,7}:{(344,1),(345,1),(349,1),(380,1),(441,1),(447,1),(459,1),(508,1),(516,1),(540,1)}
       401:{1,4,6,7}:{(345,1),(346,1),(348,1),(353,1),(444,1),(448,1)}
       402:{1,5,6}:{(346,1),(347,1),(354,1),(445,1),(448,1)}
       403:{3,4,6,7}:{(349,1),(350,1),(353,1),(384,1),(449,1),(476,1)}
       404:{3,5,6}:{(350,1),(351,1),(354,1),(449,1),(450,1)}
       405:{4,5}:{(351,1),(352,1)}
       406:{2,5,7}:{(353,1),(354,1),(448,1),(449,1)}
       407:{2,3,5}:{(355,1),(364,1),(451,1),(463,1),(511,1)}
       408:{1,4}:{(355,1),(357,1),(451,1)}
       409:{1,3,5,7}:{(355,1),(356,1),(358,1),(366,1),(452,1),(454,1),(455,1),(518,1)}
       410:{1,2,6}:{(356,1),(359,1),(455,1),(474,1),(524,1)}
       411:{2,4,5}:{(357,1),(360,1),(367,1),(453,1),(456,1)}
       412:{2,4,7}:{(357,1),(358,1),(361,1),(454,1),(458,1)}
       413:{2,3,6}:{(358,1),(359,1),(362,1),(455,1),(458,1)}
       414:{3,4,6}:{(360,1),(369,1),(456,1),(459,1),(510,1)}
       415:{3,4,5,7}:{(360,1),(361,1),(370,1),(457,1),(459,1),(460,1),(461,1),(471,1),(521,1)}
       416:{3,4,6}:{(361,1),(362,1),(458,1),(461,1),(462,1)}
       417:{3,5,6}:{(362,1),(363,1),(372,1),(461,1),(462,1)}
       418:{2,4,6}:{(364,1),(365,1),(438,1),(451,1),(463,1),(464,1),(507,1),(524,1)}
       419:{2,3,7}:{(364,1),(366,1),(464,1),(540,1)}
       420:{1,3,5}:{(365,1),(367,1),(376,1),(453,1),(463,1),(511,1),(518,1),(542,1)}
       421:{1,3,4,7}:{(365,1),(366,1),(368,1),(377,1),(454,1),(464,1),(466,1),(508,1),(512,1),(516,1),(540,1)}
       422:{2,3,5,6}:{(367,1),(369,1),(378,1),(440,1),(456,1),(465,1),(467,1),(468,1),(520,1)}
       423:{2,3,5,7}:{(367,1),(368,1),(370,1),(379,1),(457,1),(466,1),(468,1)}
       424:{3,5,7}:{(369,1),(373,1),(441,1),(459,1),(469,1)}
       425:{3,6}:{(370,1),(374,1)}
       426:{3,5,7}:{(371,1),(375,1),(443,1),(461,1),(470,1),(471,1)}
       427:{4,7}:{(372,1),(462,1)}
       428:{2,4,6,7}:{(373,1),(374,1),(382,1),(469,1),(472,1),(475,1),(526,1)}
       429:{2,5,6}:{(374,1),(375,1),(383,1),(470,1)}
       430:{1,5,6}:{(376,1),(378,1),(446,1),(473,1),(474,1)}
       431:{1,5,7}:{(376,1),(377,1),(379,1),(474,1)}
       432:{2,5,7}:{(378,1),(380,1),(447,1),(473,1),(475,1)}
       433:{2,6}:{(379,1),(381,1),(474,1)}
       434:{1,3,6,7}:{(380,1),(381,1),(382,1),(384,1),(469,1),(475,1)}
       435:{1,5,6,7}:{(382,1),(383,1),(387,1),(448,1),(472,1),(545,1)}
       436:{3,5,6,7}:{(384,1),(385,1),(387,1),(449,1),(476,1),(550,1)}
       437:{4,6}:{(385,1),(386,1)}
       438:{2,4}:{(388,1),(389,1),(477,1)}
       439:{1,3,5}:{(389,1),(390,1),(398,1),(477,1),(478,1)}
       440:{2,3,6}:{(390,1),(391,1),(399,1),(478,1),(479,1),(529,1)}
       441:{3,7}:{(391,1),(394,1)}
       442:{3,6}:{(392,1),(395,1)}
       443:{3,5}:{(393,1),(396,1),(482,1)}
       444:{2,4,6,7}:{(394,1),(395,1),(397,1),(401,1),(480,1),(483,1),(528,1)}
       445:{2,5,6}:{(395,1),(396,1),(402,1),(481,1),(483,1)}
       446:{1,4,6}:{(398,1),(399,1),(430,1),(478,1),(484,1)}
       447:{2,4,7}:{(399,1),(400,1),(432,1),(479,1),(484,1),(527,1)}
       448:{1,5,7}:{(401,1),(402,1),(406,1),(483,1)}
       449:{3,5,7}:{(403,1),(404,1),(406,1),(485,1)}
       450:{4,5,6}:{(404,1),(405,1),(437,1),(485,1)}
       451:{2,4}:{(407,1),(408,1),(486,1)}
       452:{2,3,5,7}:{(407,1),(409,1),(419,1),(488,1),(489,1),(500,1),(530,1),(534,1)}
       453:{1,4,5}:{(408,1),(411,1),(420,1),(487,1),(490,1),(548,1)}
       454:{1,4,7}:{(408,1),(409,1),(412,1),(488,1),(492,1)}
       455:{1,3,6}:{(409,1),(410,1),(413,1),(489,1),(492,1)}
       456:{2,4,6}:{(411,1),(414,1),(422,1),(490,1),(493,1)}
       457:{2,4,5,7}:{(411,1),(412,1),(415,1),(423,1),(491,1),(493,1),(494,1),(495,1),(537,1)}
       458:{2,4,6}:{(412,1),(413,1),(416,1),(492,1),(495,1)}
       459:{3,4,7}:{(414,1),(424,1),(493,1),(528,1)}
       460:{3,4,6}:{(415,1),(425,1),(494,1),(497,1),(505,1)}
       461:{3,5}:{(416,1),(495,1),(498,1)}
       462:{4,6}:{(417,1),(427,1),(498,1)}
       463:{2,5}:{(418,1),(420,1)}
       464:{2,4,7}:{(418,1),(419,1),(421,1),(500,1),(527,1)}
       465:{1,3,5,6}:{(420,1),(422,1),(430,1),(478,1),(490,1),(499,1),(501,1),(502,1),(529,1),(536,1),(547,1)}
       466:{1,3,5,7}:{(420,1),(421,1),(423,1),(431,1),(491,1),(500,1),(502,1),(530,1)}
       467:{2,3,5,7}:{(422,1),(424,1),(432,1),(479,1),(493,1),(501,1),(503,1),(537,1)}
       468:{2,3,6}:{(423,1),(425,1),(433,1),(494,1),(502,1)}
       469:{3,6,7}:{(424,1),(425,1),(428,1)}
       470:{3,5,6}:{(425,1),(426,1),(429,1),(505,1)}
       471:{4,5,7}:{(426,1),(427,1),(482,1),(498,1),(505,1),(528,1)}
       472:{2,5,6,7}:{(428,1),(429,1),(435,1),(483,1),(504,1),(537,1)}
       473:{1,5,7}:{(430,1),(432,1),(484,1),(506,1)}
       474:{1,6}:{(431,1),(433,1)}
       475:{2,6,7}:{(432,1),(433,1),(434,1),(506,1)}
       476:{4,6,7}:{(436,1),(437,1),(485,1),(552,1)}
       477:{2,5}:{(438,1),(439,1),(507,1)}
       478:{1,3,6}:{(439,1),(440,1),(446,1),(507,1),(508,1)}
       479:{2,3,7}:{(440,1),(441,1),(447,1),(508,1),(540,1)}
       480:{3,6,7}:{(441,1),(442,1),(444,1),(509,1)}
       481:{3,5,6}:{(442,1),(443,1),(445,1),(509,1),(510,1)}
       482:{4,5}:{(443,1),(510,1)}
       483:{2,5,7}:{(444,1),(445,1),(448,1),(509,1)}
       484:{1,4,7}:{(446,1),(447,1),(473,1),(508,1)}
       485:{4,5,7}:{(449,1),(450,1),(476,1)}
       486:{3,4}:{(451,1),(511,1)}
       487:{2,4,5}:{(451,1),(453,1),(463,1),(511,1),(513,1)}
       488:{2,4,7}:{(451,1),(452,1),(454,1),(512,1),(515,1)}
       489:{2,3,6}:{(452,1),(455,1),(515,1),(524,1),(541,1)}
       490:{1,4,6}:{(453,1),(456,1),(465,1),(513,1),(516,1),(551,1)}
       491:{1,4,5,7}:{(453,1),(454,1),(457,1),(466,1),(514,1),(516,1),(517,1),(518,1),(545,1)}
       492:{1,4,6}:{(454,1),(455,1),(458,1),(515,1),(518,1)}
       493:{2,4,7}:{(456,1),(459,1),(467,1),(516,1)}
       494:{2,4,6}:{(457,1),(460,1),(468,1),(517,1),(520,1)}
       495:{2,5}:{(458,1),(461,1),(518,1)}
       496:{3,4,6,7}:{(459,1),(460,1),(469,1),(519,1),(521,1),(526,1)}
       497:{3,5,6}:{(460,1),(461,1),(520,1),(521,1),(522,1)}
       498:{4,5}:{(461,1),(462,1)}
       499:{2,5,6}:{(463,1),(465,1),(507,1),(513,1),(523,1),(524,1)}
       500:{2,5,7}:{(463,1),(464,1),(466,1),(524,1)}
       501:{1,3,5,7}:{(465,1),(467,1),(473,1),(508,1),(516,1),(523,1),(525,1),(540,1),(545,1),(550,1)}
       502:{1,3,6}:{(466,1),(468,1),(474,1),(517,1),(524,1),(541,1)}
       503:{2,3,6,7}:{(467,1),(468,1),(469,1),(475,1),(519,1),(525,1)}
       504:{3,5,6,7}:{(469,1),(470,1),(472,1),(509,1),(521,1),(526,1)}
       505:{4,6}:{(470,1),(471,1)}
       506:{1,6,7}:{(473,1),(474,1),(475,1)}
       507:{2,6}:{(477,1),(478,1),(527,1)}
       508:{1,3,7}:{(478,1),(479,1),(484,1),(527,1)}
       509:{3,5,7}:{(480,1),(481,1),(483,1),(528,1)}
       510:{4,6}:{(481,1),(482,1),(528,1)}
       511:{3,5}:{(486,1),(487,1),(529,1)}
       512:{3,4,7}:{(486,1),(488,1),(530,1),(531,1),(552,1)}
       513:{2,4,6}:{(487,1),(490,1),(499,1),(529,1),(532,1)}
       514:{2,4,5,7}:{(487,1),(488,1),(491,1),(500,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       515:{2,4,6}:{(488,1),(489,1),(492,1),(531,1),(534,1)}
       516:{1,4,7}:{(490,1),(493,1),(501,1),(532,1),(552,1)}
       517:{1,4,6}:{(491,1),(494,1),(502,1),(533,1),(536,1)}
       518:{1,5}:{(492,1),(495,1),(534,1)}
       519:{2,4,6,7}:{(493,1),(494,1),(496,1),(503,1),(535,1),(537,1)}
       520:{2,5,6}:{(494,1),(495,1),(497,1),(536,1),(537,1)}
       521:{3,5,7}:{(496,1),(497,1),(537,1),(538,1)}
       522:{4,5,6}:{(497,1),(498,1),(505,1),(538,1)}
       523:{2,5,7}:{(499,1),(501,1),(527,1),(532,1),(539,1)}
       524:{2,6}:{(500,1),(502,1)}
       525:{1,3,6,7}:{(501,1),(502,1),(503,1),(506,1),(535,1),(539,1),(546,1)}
       526:{4,6,7}:{(504,1),(505,1),(528,1),(538,1)}
       527:{2,7}:{(507,1),(508,1)}
       528:{4,7}:{(509,1),(510,1)}
       529:{3,6}:{(511,1),(513,1),(540,1)}
       530:{3,5,7}:{(511,1),(512,1),(514,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(512,1),(515,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(513,1),(516,1),(523,1),(540,1)}
       533:{2,4,6}:{(514,1),(517,1),(524,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(515,1),(518,1),(542,1)}
       535:{1,4,6,7}:{(516,1),(517,1),(519,1),(525,1),(543,1),(545,1)}
       536:{1,5,6}:{(517,1),(518,1),(520,1),(544,1),(545,1)}
       537:{2,5,7}:{(519,1),(520,1),(521,1),(545,1)}
       538:{4,5,7}:{(521,1),(522,1),(526,1)}
       539:{2,6,7}:{(523,1),(524,1),(525,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 495 :   0:{3,5,6,7}:{(2,1),(3,1),(21,1),(25,1),(304,1),(401,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(25,1),(49,1),(62,1),(205,1),(308,1),(400,1),(409,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(44,1),(252,1),(366,1)}
         3:{4,6,7}:{(0,1),(11,1),(354,1),(440,1)}
         4:{4,5,6}:{(11,1),(13,1),(359,1),(440,1)}
         5:{3,4,6}:{(1,1),(13,1),(14,1),(440,1),(450,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(44,1),(76,1),(93,1),(164,1),(265,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(18,1),(69,1),(201,1),(324,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(18,1),(20,1),(21,1),(58,1),(410,1)}
         9:{2,4,5,6}:{(4,1),(19,1),(20,1),(22,1),(27,1),(60,1),(65,1),(211,1),(301,1),(317,1),(396,1),(410,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(23,1),(24,1),(50,1),(409,1),(418,1)}
        11:{4,5,7}:{(3,1),(4,1),(25,1)}
        12:{3,4,6,7}:{(3,1),(5,1),(21,1),(25,1),(26,1),(62,1)}
        13:{3,5,6}:{(4,1),(5,1),(25,1),(27,1),(308,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(27,1),(28,1)}
        15:{1,4,5,7}:{(6,1),(24,1),(28,1),(29,1),(69,1),(108,1),(129,1),(130,1),(222,1)}
        16:{2,3,4,7}:{(10,1),(30,1),(31,1),(93,1),(142,1),(164,1),(165,1),(364,1),(373,1)}
        17:{2,5,6,7}:{(7,1),(32,1),(33,1),(100,1),(154,1),(279,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(33,1),(35,1),(36,1),(88,1),(375,1)}
        19:{1,4,5,6}:{(9,1),(34,1),(35,1),(37,1),(46,1),(90,1),(96,1),(161,1),(249,1),(274,1),(375,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(11,1),(35,1),(38,1),(44,1),(87,1),(93,1),(252,1),(259,1),(354,1)}
        21:{3,6,7}:{(8,1),(38,1),(450,1)}
        22:{3,5,6}:{(9,1),(38,1),(40,1),(263,1),(369,1),(450,1)}
        23:{2,3,6}:{(10,1),(14,1),(42,1),(450,1),(457,1)}
        24:{1,3,5,7}:{(10,1),(15,1),(31,1),(42,1),(43,1),(48,1),(77,1),(456,1)}
        25:{3,5,7}:{(11,1),(12,1),(13,1),(44,1)}
        26:{2,4,6,7}:{(12,1),(14,1),(39,1),(44,1),(45,1),(93,1)}
        27:{2,5,6}:{(13,1),(14,1),(44,1),(46,1),(265,1)}
        28:{1,4,6}:{(14,1),(15,1),(42,1),(46,1),(47,1)}
        29:{2,4,5,7}:{(15,1),(43,1),(47,1),(48,1),(99,1),(100,1),(148,1),(174,1),(179,1),(181,1),(183,1)}
        30:{2,3,4,6}:{(16,1),(23,1),(50,1),(51,1),(65,1),(125,1),(186,1),(187,1),(213,1),(287,1),(316,1),(326,1)}
        31:{1,3,4,7}:{(16,1),(24,1),(51,1),(52,1),(73,1),(107,1),(129,1),(130,1),(215,1),(224,1),(417,1)}
        32:{3,5,6,7}:{(17,1),(53,1),(55,1),(113,1),(137,1),(232,1)}
        33:{2,4,6,7}:{(17,1),(18,1),(53,1),(54,1),(55,1),(58,1),(331,1)}
        34:{2,4,5,6}:{(19,1),(54,1),(56,1),(60,1),(71,1),(112,1),(119,1),(133,1),(139,1),(199,1),(228,1),(331,1)}
        35:{1,4,5,7}:{(18,1),(19,1),(20,1),(54,1),(57,1),(69,1),(123,1),(130,1),(201,1),(207,1)}
        36:{1,3,6,7}:{(18,1),(21,1),(55,1),(57,1),(58,1),(419,1)}
        37:{1,3,5,6}:{(19,1),(22,1),(56,1),(57,1),(59,1),(60,1),(327,1),(419,1)}
        38:{3,5,7}:{(20,1),(21,1),(22,1),(62,1),(311,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(26,1),(58,1),(63,1),(64,1)}
        40:{3,4,6}:{(22,1),(49,1),(62,1),(65,1),(396,1)}
        41:{2,3,5,6}:{(22,1),(23,1),(27,1),(50,1),(60,1),(63,1),(65,1),(66,1),(125,1)}
        42:{1,3,6}:{(23,1),(24,1),(28,1),(67,1),(72,1),(487,1)}
        43:{2,5,7}:{(24,1),(52,1),(67,1),(109,1)}
        44:{2,5,7}:{(25,1),(26,1),(27,1),(69,1)}
        45:{1,4,6,7}:{(26,1),(28,1),(64,1),(69,1),(70,1),(130,1)}
        46:{1,5,6}:{(27,1),(28,1),(69,1),(71,1),(222,1)}
        47:{2,4,6}:{(28,1),(29,1),(67,1),(71,1),(72,1),(139,1)}
        48:{3,5,7}:{(29,1),(72,1),(73,1),(140,1),(194,1),(224,1)}
        49:{3,4,5}:{(40,1),(76,1),(338,1),(369,1),(436,1)}
        50:{2,3,5}:{(30,1),(76,1),(77,1),(265,1),(369,1),(378,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(42,1),(77,1),(78,1),(96,1),(103,1),(146,1),(169,1),(172,1),(177,1),(235,1),(241,1),(244,1),(377,1)}
        52:{2,4,7}:{(31,1),(43,1),(78,1),(79,1),(267,1)}
        53:{4,6,7}:{(32,1),(80,1),(181,1),(283,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(82,1),(87,1),(100,1),(154,1),(157,1),(174,1),(181,1)}
        55:{3,6,7}:{(33,1),(82,1),(381,1)}
        56:{3,5,6}:{(34,1),(82,1),(84,1),(177,1),(280,1),(381,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(37,1),(38,1),(82,1),(86,1),(87,1)}
        58:{2,6,7}:{(36,1),(87,1),(88,1),(457,1)}
        59:{1,3,4,6}:{(37,1),(40,1),(74,1),(84,1),(86,1),(89,1),(96,1),(161,1),(169,1),(177,1),(263,1)}
        60:{2,5,6}:{(37,1),(87,1),(89,1),(90,1),(378,1),(457,1)}
        61:{1,2,5,7}:{(43,1),(75,1),(91,1),(92,1),(145,1),(238,1),(456,1)}
        62:{3,4,7}:{(38,1),(40,1),(93,1),(354,1)}
        63:{2,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(87,1),(93,1),(94,1),(165,1)}
        64:{1,3,6,7}:{(39,1),(42,1),(45,1),(88,1),(94,1),(95,1),(101,1)}
        65:{2,4,6}:{(40,1),(41,1),(76,1),(93,1),(96,1)}
        66:{1,3,5,6}:{(41,1),(42,1),(46,1),(77,1),(90,1),(94,1),(96,1),(97,1),(102,1),(169,1),(177,1)}
        67:{2,6}:{(42,1),(43,1)}
        68:{2,3,5,7}:{(43,1),(48,1),(79,1),(92,1),(98,1),(99,1),(149,1),(179,1)}
        69:{1,5,7}:{(44,1),(45,1),(46,1),(100,1)}
        70:{2,4,6,7}:{(45,1),(47,1),(95,1),(100,1),(101,1),(174,1),(181,1)}
        71:{2,5,6}:{(46,1),(47,1),(100,1),(102,1),(179,1)}
        72:{3,6}:{(47,1),(48,1)}
        73:{3,4,7}:{(48,1),(99,1),(103,1),(181,1),(244,1)}
        74:{1,3,4,5}:{(49,1),(59,1),(105,1),(108,1),(115,1),(189,1),(194,1),(204,1),(292,1),(307,1),(327,1)}
        75:{1,2,4,7}:{(52,1),(61,1),(106,1),(107,1),(129,1),(188,1),(320,1),(417,1)}
        76:{2,4,5}:{(49,1),(50,1),(65,1),(108,1),(287,1)}
        77:{1,3,5}:{(50,1),(51,1),(108,1),(109,1),(140,1),(194,1),(222,1),(421,1)}
        78:{2,4,6}:{(51,1),(52,1),(67,1),(109,1),(110,1),(195,1),(219,1),(286,1)}
        79:{2,3,7}:{(52,1),(107,1),(110,1),(224,1)}
        80:{4,5,7}:{(53,1),(112,1),(113,1)}
        81:{3,4,6,7}:{(53,1),(55,1),(113,1),(114,1),(116,1),(198,1)}
        82:{3,5,7}:{(54,1),(55,1),(56,1),(116,1),(224,1)}
        83:{2,3,6,7}:{(55,1),(58,1),(114,1),(117,1),(118,1),(299,1)}
        84:{3,4,6}:{(56,1),(115,1),(116,1),(119,1),(139,1)}
        85:{2,3,5,6}:{(56,1),(60,1),(117,1),(119,1),(120,1),(125,1),(199,1),(203,1),(299,1)}
        86:{1,3,4,7}:{(57,1),(59,1),(62,1),(116,1),(122,1),(130,1),(207,1),(215,1),(224,1),(311,1)}
        87:{2,5,7}:{(57,1),(58,1),(60,1),(122,1),(123,1)}
        88:{1,6,7}:{(58,1),(123,1),(487,1)}
        89:{2,4,6}:{(59,1),(60,1),(105,1),(122,1),(125,1),(126,1),(219,1)}
        90:{1,5,6}:{(60,1),(123,1),(126,1),(421,1),(487,1)}
        91:{1,2,6}:{(61,1),(67,1),(128,1),(289,1),(487,1)}
        92:{1,3,5,7}:{(61,1),(68,1),(107,1),(121,1),(128,1),(129,1),(191,1),(222,1)}
        93:{2,4,7}:{(62,1),(63,1),(65,1),(130,1)}
        94:{1,3,5,7}:{(63,1),(64,1),(66,1),(69,1),(123,1),(130,1),(131,1),(137,1),(215,1),(224,1)}
        95:{2,6,7}:{(64,1),(67,1),(131,1)}
        96:{1,4,6}:{(65,1),(66,1),(108,1),(130,1),(133,1),(139,1)}
        97:{2,5,6}:{(66,1),(67,1),(109,1),(131,1),(133,1),(219,1)}
        98:{2,3,6}:{(67,1),(68,1),(72,1),(128,1),(135,1)}
        99:{2,4,7}:{(68,1),(73,1),(129,1),(135,1),(195,1)}
       100:{2,5,7}:{(69,1),(70,1),(71,1),(137,1)}
       101:{3,6,7}:{(70,1),(72,1),(137,1),(224,1)}
       102:{3,5,6}:{(71,1),(72,1),(137,1),(139,1),(140,1)}
       103:{3,4,6}:{(72,1),(73,1),(135,1),(139,1),(140,1)}
       104:{3,4,5,7}:{(73,1),(136,1),(140,1),(141,1),(231,1),(234,1),(296,1),(330,1),(393,1)}
       105:{2,4,5}:{(74,1),(89,1),(143,1),(144,1),(239,1),(343,1),(378,1)}
       106:{1,2,4,6}:{(75,1),(78,1),(91,1),(145,1),(146,1),(172,1),(237,1),(241,1),(271,1),(336,1),(377,1)}
       107:{1,3,7}:{(75,1),(79,1),(142,1),(146,1)}
       108:{1,4,5}:{(76,1),(77,1),(96,1),(148,1),(183,1),(241,1)}
       109:{2,5}:{(77,1),(78,1)}
       110:{2,3,6}:{(78,1),(79,1),(146,1),(149,1),(177,1),(337,1)}
       111:{2,3,4,7}:{(79,1),(99,1),(147,1),(150,1),(151,1),(277,1),(348,1),(373,1),(492,1)}
       112:{4,5,6}:{(80,1),(152,1),(283,1),(546,1)}
       113:{3,5,7}:{(80,1),(81,1),(152,1),(154,1)}
       114:{2,4,6,7}:{(81,1),(83,1),(154,1),(155,1),(157,1),(248,1)}
       115:{3,4,5}:{(84,1),(156,1),(183,1),(280,1),(503,1)}
       116:{3,4,7}:{(82,1),(84,1),(157,1),(181,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(154,1),(157,1),(158,1),(165,1)}
       118:{1,3,6,7}:{(83,1),(88,1),(155,1),(158,1),(159,1),(253,1),(349,1)}
       119:{2,4,6}:{(84,1),(85,1),(156,1),(157,1),(161,1)}
       120:{1,3,5,6}:{(85,1),(90,1),(158,1),(161,1),(162,1),(169,1),(249,1),(254,1),(263,1),(349,1),(351,1)}
       121:{2,3,5,7}:{(92,1),(142,1),(163,1),(164,1),(236,1),(238,1),(257,1),(265,1)}
       122:{2,4,7}:{(86,1),(87,1),(89,1),(165,1),(166,1),(267,1)}
       123:{1,5,7}:{(87,1),(88,1),(90,1),(166,1)}
       124:{1,2,6,7}:{(88,1),(91,1),(95,1),(159,1),(167,1),(168,1),(341,1),(433,1),(457,1),(512,1),(539,1)}
       125:{2,3,6}:{(89,1),(143,1),(165,1),(169,1),(177,1),(263,1)}
       126:{1,4,6}:{(89,1),(90,1),(144,1),(166,1),(169,1)}
       127:{1,2,5,6}:{(90,1),(91,1),(97,1),(145,1),(162,1),(167,1),(170,1),(171,1),(271,1),(340,1),(356,1),(378,1),(433,1),(457,1),(459,1),(510,1)}
       128:{1,3,6}:{(91,1),(92,1),(98,1),(163,1),(172,1)}
       129:{1,4,7}:{(92,1),(99,1),(164,1),(172,1),(241,1)}
       130:{1,4,7}:{(93,1),(94,1),(96,1),(174,1),(181,1)}
       131:{2,5,7}:{(94,1),(95,1),(97,1),(174,1),(267,1)}
       132:{2,3,6,7}:{(95,1),(98,1),(101,1),(168,1),(175,1),(176,1),(381,1),(457,1),(494,1),(539,1),(549,1)}
       133:{2,4,6}:{(96,1),(97,1),(148,1),(174,1),(177,1)}
       134:{2,3,5,6}:{(97,1),(98,1),(102,1),(149,1),(171,1),(175,1),(177,1),(178,1),(179,1),(272,1),(279,1),(280,1),(378,1),(381,1),(442,1),(457,1),(494,1),(510,1),(531,1),(537,1),(547,1)}
       135:{2,4,6}:{(98,1),(99,1),(103,1),(172,1),(179,1)}
       136:{2,4,5,7}:{(99,1),(104,1),(151,1),(173,1),(179,1),(180,1),(245,1),(282,1),(348,1)}
       137:{3,5,7}:{(100,1),(101,1),(102,1),(181,1)}
       138:{3,4,6,7}:{(101,1),(103,1),(176,1),(181,1),(182,1),(277,1),(283,1),(381,1),(530,1),(549,1),(552,1)}
       139:{4,6}:{(102,1),(181,1),(183,1)}
       140:{3,5}:{(103,1),(179,1),(183,1)}
       141:{3,4,6}:{(104,1),(180,1),(184,1),(283,1),(381,1)}
       142:{2,3,7}:{(107,1),(187,1),(188,1),(464,1)}
       143:{2,3,5}:{(105,1),(125,1),(186,1),(189,1),(194,1),(307,1)}
       144:{1,4,5}:{(105,1),(126,1),(189,1),(389,1),(421,1)}
       145:{1,2,5}:{(106,1),(109,1),(191,1),(222,1),(288,1),(421,1)}
       146:{1,3,6}:{(106,1),(107,1),(110,1),(187,1),(191,1),(384,1)}
       147:{1,3,4,7}:{(107,1),(111,1),(129,1),(188,1),(192,1),(193,1),(205,1),(392,1),(417,1),(464,1),(514,1)}
       148:{2,4,5}:{(108,1),(109,1),(133,1),(194,1),(195,1)}
       149:{2,3,5}:{(109,1),(110,1),(191,1),(194,1),(195,1)}
       150:{2,3,4,6}:{(110,1),(111,1),(135,1),(192,1),(195,1),(196,1),(197,1),(227,1),(297,1),(326,1),(385,1),(463,1)}
       151:{2,3,5,7}:{(111,1),(136,1),(193,1),(196,1),(197,1),(330,1),(418,1)}
       152:{3,5,6}:{(112,1),(113,1),(198,1),(199,1),(540,1)}
       153:{3,4,5,7}:{(113,1),(115,1),(116,1),(198,1),(200,1),(231,1),(330,1),(519,1),(540,1)}
       154:{2,5,7}:{(113,1),(114,1),(199,1),(201,1)}
       155:{1,4,6,7}:{(114,1),(118,1),(201,1),(202,1),(207,1),(300,1)}
       156:{2,4,5}:{(115,1),(119,1),(203,1),(204,1),(476,1)}
       157:{2,4,7}:{(116,1),(117,1),(119,1),(207,1)}
       158:{1,3,5,7}:{(117,1),(118,1),(120,1),(123,1),(201,1),(207,1),(208,1),(215,1),(304,1),(311,1)}
       159:{2,6,7}:{(118,1),(208,1),(394,1)}
       160:{2,3,4,6}:{(119,1),(125,1),(186,1),(203,1),(206,1),(210,1),(227,1),(299,1),(326,1),(412,1),(476,1),(515,1)}
       161:{1,4,6}:{(119,1),(120,1),(204,1),(207,1),(211,1),(396,1)}
       162:{2,5,6}:{(120,1),(208,1),(211,1),(219,1),(306,1),(394,1)}
       163:{2,3,6}:{(121,1),(128,1),(213,1),(289,1),(309,1)}
       164:{2,4,7}:{(121,1),(129,1),(205,1),(213,1),(287,1)}
       165:{2,3,7}:{(122,1),(125,1),(215,1),(224,1),(311,1)}
       166:{1,4,7}:{(122,1),(123,1),(126,1),(215,1)}
       167:{1,2,5,7}:{(123,1),(124,1),(127,1),(131,1),(208,1),(216,1),(217,1),(320,1),(388,1),(418,1),(489,1),(528,1)}
       168:{1,3,6,7}:{(124,1),(128,1),(132,1),(209,1),(217,1),(218,1),(419,1),(467,1),(487,1)}
       169:{1,3,6}:{(125,1),(126,1),(189,1),(215,1),(219,1)}
       170:{1,2,4,6}:{(126,1),(127,1),(133,1),(190,1),(211,1),(216,1),(219,1),(220,1),(221,1),(326,1),(387,1),(465,1),(513,1),(524,1)}
       171:{1,3,5,6}:{(127,1),(128,1),(134,1),(191,1),(212,1),(217,1),(220,1),(221,1),(222,1),(324,1),(325,1),(327,1),(402,1),(419,1),(421,1),(467,1),(487,1),(516,1)}
       172:{1,4,6}:{(128,1),(129,1),(135,1),(213,1),(222,1)}
       173:{1,4,5,7}:{(129,1),(136,1),(193,1),(214,1),(222,1),(223,1),(293,1),(329,1),(392,1)}
       174:{2,4,7}:{(130,1),(131,1),(133,1),(224,1)}
       175:{2,3,5,7}:{(131,1),(132,1),(134,1),(137,1),(217,1),(224,1),(225,1),(226,1),(321,1),(330,1),(418,1),(528,1),(545,1),(551,1)}
       176:{2,4,6,7}:{(132,1),(135,1),(138,1),(218,1),(225,1),(226,1),(331,1),(515,1)}
       177:{3,6}:{(133,1),(194,1),(224,1)}
       178:{2,4,6}:{(134,1),(139,1),(195,1),(221,1),(225,1),(227,1),(228,1),(476,1),(550,1)}
       179:{2,5}:{(135,1),(140,1),(222,1)}
       180:{2,4,6}:{(136,1),(141,1),(197,1),(223,1),(229,1)}
       181:{4,7}:{(137,1),(139,1)}
       182:{3,5,7}:{(138,1),(140,1),(226,1),(231,1),(232,1),(540,1)}
       183:{4,5}:{(139,1),(140,1)}
       184:{3,5,6}:{(140,1),(141,1),(229,1),(233,1),(234,1)}
       185:{3,4,6,7}:{(141,1),(230,1),(234,1),(335,1),(393,1),(424,1)}
       186:{2,3,4}:{(143,1),(235,1),(244,1),(343,1),(358,1),(425,1)}
       187:{2,3,6}:{(142,1),(146,1),(236,1),(237,1),(425,1),(428,1)}
       188:{2,4,7}:{(142,1),(147,1),(237,1),(238,1),(529,1)}
       189:{1,3,5}:{(143,1),(144,1),(169,1),(235,1),(239,1)}
       190:{1,2,4,5}:{(144,1),(145,1),(148,1),(170,1),(239,1),(240,1),(241,1),(255,1),(274,1),(336,1),(339,1),(343,1),(356,1),(378,1),(430,1),(443,1),(490,1),(504,1)}
       191:{1,3,5}:{(145,1),(146,1),(149,1),(236,1),(241,1)}
       192:{1,3,4,6}:{(146,1),(147,1),(150,1),(172,1),(237,1),(241,1),(242,1),(243,1),(256,1),(338,1),(345,1),(377,1),(426,1),(428,1),(491,1)}
       193:{1,3,5,7}:{(147,1),(151,1),(173,1),(238,1),(242,1),(243,1),(257,1),(456,1)}
       194:{3,5}:{(148,1),(177,1),(244,1)}
       195:{2,4}:{(149,1),(241,1),(244,1)}
       196:{2,3,5}:{(150,1),(179,1),(242,1),(245,1),(280,1),(378,1)}
       197:{2,3,6}:{(151,1),(180,1),(243,1),(381,1),(457,1)}
       198:{3,4,6}:{(152,1),(153,1),(248,1),(283,1),(381,1)}
       199:{2,5,6}:{(152,1),(154,1),(248,1),(249,1),(531,1)}
       200:{2,4,5,7}:{(153,1),(154,1),(156,1),(157,1),(248,1),(250,1),(251,1),(499,1),(531,1)}
       201:{1,5,7}:{(154,1),(155,1),(249,1),(252,1)}
       202:{2,4,6,7}:{(155,1),(159,1),(252,1),(253,1),(259,1),(350,1),(354,1)}
       203:{2,3,5}:{(156,1),(160,1),(254,1),(280,1),(378,1),(531,1)}
       204:{1,4,5}:{(156,1),(161,1),(254,1),(255,1),(436,1),(443,1)}
       205:{3,4,7}:{(164,1),(256,1),(257,1),(338,1),(446,1)}
       206:{2,3,4,7}:{(157,1),(160,1),(165,1),(250,1),(258,1),(277,1),(373,1),(447,1),(499,1)}
       207:{1,4,7}:{(157,1),(158,1),(161,1),(259,1),(354,1)}
       208:{2,5,7}:{(158,1),(159,1),(162,1),(259,1),(267,1)}
       209:{2,3,6,7}:{(159,1),(163,1),(168,1),(253,1),(260,1),(261,1),(341,1),(361,1),(434,1),(450,1),(457,1)}
       210:{1,3,4,6}:{(160,1),(161,1),(169,1),(235,1),(254,1),(258,1),(262,1),(263,1),(349,1),(358,1),(367,1),(377,1),(435,1),(443,1),(495,1)}
       211:{2,4,6}:{(161,1),(162,1),(255,1),(259,1),(263,1)}
       212:{2,3,5,6}:{(162,1),(163,1),(171,1),(236,1),(260,1),(263,1),(264,1),(265,1),(272,1),(340,1),(351,1),(357,1),(360,1),(366,1),(369,1),(378,1),(428,1),(434,1),(450,1),(457,1),(496,1)}
       213:{2,4,6}:{(163,1),(164,1),(172,1),(256,1),(265,1)}
       214:{2,4,5,7}:{(164,1),(173,1),(238,1),(257,1),(265,1),(266,1),(339,1),(359,1),(371,1),(429,1),(446,1)}
       215:{1,3,7}:{(165,1),(166,1),(169,1),(267,1)}
       216:{1,2,4,7}:{(166,1),(167,1),(170,1),(174,1),(259,1),(267,1),(268,1),(269,1),(373,1),(429,1),(493,1),(529,1),(538,1)}
       217:{1,3,5,7}:{(167,1),(168,1),(171,1),(175,1),(260,1),(268,1),(269,1),(270,1),(372,1),(456,1)}
       218:{1,4,6,7}:{(168,1),(172,1),(176,1),(261,1),(269,1),(270,1),(375,1),(495,1)}
       219:{2,6}:{(169,1),(239,1),(267,1)}
       220:{1,3,6}:{(170,1),(177,1),(240,1),(263,1),(268,1),(272,1),(428,1),(537,1)}
       221:{1,4,6}:{(171,1),(178,1),(241,1),(264,1),(269,1),(274,1),(443,1)}
       222:{1,5}:{(172,1),(179,1),(265,1)}
       223:{1,4,6}:{(173,1),(180,1),(243,1),(266,1),(275,1)}
       224:{3,7}:{(174,1),(177,1)}
       225:{2,4,7}:{(175,1),(178,1),(181,1),(269,1),(277,1),(552,1)}
       226:{2,5,7}:{(176,1),(179,1),(182,1),(270,1),(279,1),(531,1)}
       227:{3,4,6}:{(177,1),(178,1),(244,1),(277,1),(280,1),(381,1),(503,1),(537,1)}
       228:{2,4,5}:{(178,1),(179,1),(183,1),(274,1),(280,1),(378,1),(531,1),(546,1)}
       229:{2,5,6}:{(179,1),(180,1),(184,1),(275,1),(282,1)}
       230:{2,4,6,7}:{(180,1),(185,1),(247,1),(276,1),(282,1),(348,1)}
       231:{4,5,7}:{(181,1),(182,1),(183,1),(283,1),(546,1),(552,1)}
       232:{3,5,6}:{(182,1),(279,1),(283,1),(381,1)}
       233:{4,5,6}:{(183,1),(184,1),(283,1),(285,1)}
       234:{3,5,7}:{(184,1),(185,1),(282,1),(285,1)}
       235:{1,3,4}:{(186,1),(189,1),(286,1),(384,1),(389,1)}
       236:{2,3,5}:{(187,1),(191,1),(287,1),(288,1),(386,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(287,1),(288,1),(289,1),(461,1),(513,1)}
       238:{2,5,7}:{(188,1),(193,1),(288,1),(289,1)}
       239:{2,5}:{(189,1),(219,1),(286,1)}
       240:{1,3,5}:{(190,1),(194,1),(220,1),(291,1),(292,1),(307,1),(384,1),(386,1),(523,1)}
       241:{1,4}:{(191,1),(195,1),(287,1)}
       242:{1,3,5}:{(192,1),(196,1),(222,1),(288,1),(293,1),(308,1),(386,1),(421,1)}
       243:{1,3,6}:{(193,1),(197,1),(223,1),(289,1),(309,1),(487,1)}
       244:{3,4}:{(194,1),(195,1)}
       245:{2,4,5}:{(195,1),(196,1),(293,1),(296,1),(297,1)}
       246:{2,3,5,6}:{(196,1),(197,1),(229,1),(294,1),(297,1),(298,1),(333,1),(422,1),(463,1)}
       247:{2,3,6,7}:{(197,1),(230,1),(295,1),(298,1),(424,1),(488,1)}
       248:{2,4,6}:{(198,1),(199,1),(200,1),(299,1),(300,1)}
       249:{1,5,6}:{(199,1),(201,1),(300,1),(301,1),(516,1)}
       250:{2,3,5,7}:{(200,1),(203,1),(206,1),(299,1),(302,1),(330,1),(418,1)}
       251:{1,4,5,7}:{(200,1),(201,1),(204,1),(207,1),(300,1),(302,1),(303,1),(472,1),(516,1)}
       252:{2,5,7}:{(201,1),(202,1),(301,1),(304,1)}
       253:{3,6,7}:{(202,1),(304,1),(311,1),(395,1)}
       254:{1,3,5}:{(203,1),(204,1),(210,1),(306,1),(307,1),(421,1),(469,1),(516,1)}
       255:{2,4,5}:{(204,1),(211,1),(306,1),(307,1),(403,1)}
       256:{3,4,6}:{(205,1),(213,1),(308,1),(309,1),(405,1)}
       257:{3,5,7}:{(205,1),(214,1),(308,1),(309,1),(386,1),(464,1)}
       258:{1,3,4,7}:{(206,1),(207,1),(210,1),(215,1),(302,1),(310,1),(311,1),(399,1),(407,1),(417,1),(472,1)}
       259:{2,4,7}:{(207,1),(208,1),(211,1),(311,1)}
       260:{2,3,5,7}:{(208,1),(209,1),(212,1),(217,1),(304,1),(311,1),(312,1),(313,1),(321,1),(388,1),(406,1),(409,1),(418,1),(464,1)}
       261:{2,4,6,7}:{(209,1),(213,1),(218,1),(305,1),(312,1),(313,1),(410,1),(468,1)}
       262:{2,4,6}:{(210,1),(219,1),(286,1),(306,1),(310,1),(315,1),(394,1),(403,1)}
       263:{3,6}:{(211,1),(307,1),(311,1)}
       264:{2,4,6}:{(212,1),(221,1),(287,1),(312,1),(316,1),(317,1),(396,1),(403,1),(405,1)}
       265:{2,5}:{(213,1),(222,1),(308,1)}
       266:{2,4,6}:{(214,1),(223,1),(289,1),(309,1),(318,1),(405,1)}
       267:{2,7}:{(215,1),(219,1)}
       268:{1,3,7}:{(216,1),(220,1),(224,1),(311,1),(321,1),(464,1),(545,1)}
       269:{1,4,7}:{(217,1),(221,1),(225,1),(312,1)}
       270:{1,5,7}:{(218,1),(222,1),(226,1),(313,1),(324,1),(516,1)}
       271:{1,2,6}:{(219,1),(290,1),(320,1),(325,1),(513,1)}
       272:{2,3,6}:{(219,1),(220,1),(291,1),(321,1),(325,1),(326,1),(513,1)}
       273:{1,3,4,6}:{(220,1),(221,1),(227,1),(292,1),(316,1),(322,1),(326,1),(327,1),(419,1)}
       274:{1,4,5}:{(221,1),(222,1),(228,1),(317,1),(327,1),(421,1),(516,1)}
       275:{1,5,6}:{(222,1),(223,1),(229,1),(318,1),(329,1)}
       276:{1,4,6,7}:{(223,1),(230,1),(295,1),(319,1),(329,1),(392,1)}
       277:{3,4,7}:{(224,1),(225,1),(227,1),(330,1),(545,1)}
       278:{2,4,5,7}:{(225,1),(226,1),(228,1),(231,1),(323,1),(330,1),(331,1),(418,1)}
       279:{2,5,6}:{(226,1),(232,1),(324,1),(331,1)}
       280:{3,5}:{(227,1),(228,1)}
       281:{2,4,5,6}:{(228,1),(229,1),(233,1),(297,1),(328,1),(331,1),(333,1),(334,1),(422,1),(524,1),(541,1),(550,1)}
       282:{2,5,7}:{(229,1),(230,1),(234,1),(329,1)}
       283:{4,6}:{(231,1),(232,1)}
       284:{3,5,6,7}:{(232,1),(234,1),(332,1),(335,1),(424,1),(551,1)}
       285:{4,5,7}:{(233,1),(234,1),(335,1)}
       286:{2,4}:{(235,1),(239,1),(337,1)}
       287:{2,4}:{(236,1),(241,1),(338,1)}
       288:{2,5}:{(237,1),(242,1)}
       289:{2,6}:{(238,1),(243,1)}
       290:{1,2,5}:{(239,1),(271,1),(336,1),(342,1),(490,1)}
       291:{2,3,5}:{(239,1),(240,1),(272,1),(337,1),(342,1),(343,1),(378,1),(425,1),(490,1)}
       292:{1,3,4}:{(240,1),(241,1),(244,1),(338,1),(343,1),(358,1),(443,1),(503,1)}
       293:{1,4,5}:{(241,1),(242,1),(245,1),(339,1),(345,1),(359,1)}
       294:{1,3,5,6}:{(242,1),(243,1),(246,1),(275,1),(340,1),(345,1),(346,1),(360,1),(428,1),(459,1),(491,1)}
       295:{1,3,6,7}:{(243,1),(247,1),(276,1),(341,1),(346,1),(361,1),(512,1)}
       296:{3,4,5}:{(244,1),(245,1),(280,1),(347,1),(546,1)}
       297:{2,4,6}:{(245,1),(246,1),(345,1),(347,1),(348,1)}
       298:{2,3,5,7}:{(246,1),(247,1),(282,1),(346,1),(348,1),(383,1),(460,1),(492,1)}
       299:{2,3,6}:{(248,1),(250,1),(349,1),(381,1),(457,1)}
       300:{1,4,6}:{(248,1),(249,1),(251,1),(349,1),(350,1)}
       301:{2,5,6}:{(249,1),(252,1),(350,1),(351,1),(496,1)}
       302:{1,3,5,7}:{(250,1),(251,1),(254,1),(258,1),(349,1),(352,1),(353,1),(456,1)}
       303:{2,4,5,7}:{(251,1),(252,1),(255,1),(259,1),(350,1),(352,1),(353,1),(354,1),(436,1),(438,1),(496,1)}
       304:{3,5,7}:{(252,1),(253,1),(351,1),(354,1)}
       305:{3,4,6,7}:{(253,1),(256,1),(261,1),(354,1),(355,1),(361,1),(364,1),(435,1),(440,1),(446,1),(450,1)}
       306:{2,5}:{(254,1),(262,1)}
       307:{3,5}:{(255,1),(263,1),(358,1)}
       308:{3,5}:{(256,1),(265,1),(359,1)}
       309:{3,6}:{(257,1),(266,1)}
       310:{2,4,7}:{(258,1),(262,1),(267,1),(352,1),(363,1)}
       311:{3,7}:{(259,1),(263,1)}
       312:{2,4,7}:{(260,1),(264,1),(269,1),(354,1),(364,1),(446,1)}
       313:{2,5,7}:{(261,1),(265,1),(270,1),(355,1),(366,1),(496,1)}
       314:{1,2,4,6}:{(262,1),(271,1),(336,1),(356,1),(362,1),(367,1),(377,1),(433,1),(443,1),(452,1),(495,1)}
       315:{2,3,6}:{(262,1),(263,1),(337,1),(357,1),(363,1),(367,1)}
       316:{3,4,6}:{(263,1),(264,1),(338,1),(358,1),(364,1),(369,1),(428,1),(450,1)}
       317:{2,4,5}:{(264,1),(265,1),(274,1),(359,1),(369,1),(378,1),(436,1),(496,1)}
       318:{2,5,6}:{(265,1),(266,1),(275,1),(360,1),(371,1)}
       319:{2,4,6,7}:{(266,1),(276,1),(341,1),(361,1),(371,1),(429,1),(446,1)}
       320:{1,2,7}:{(267,1),(271,1),(372,1),(529,1)}
       321:{2,3,7}:{(267,1),(268,1),(272,1),(372,1),(373,1),(529,1)}
       322:{1,3,4,7}:{(268,1),(269,1),(273,1),(277,1),(364,1),(373,1),(374,1)}
       323:{1,4,5,7}:{(269,1),(270,1),(274,1),(278,1),(365,1),(374,1),(375,1),(456,1)}
       324:{1,5,6}:{(270,1),(279,1),(366,1),(375,1)}
       325:{1,3,6}:{(271,1),(272,1),(342,1),(372,1),(377,1)}
       326:{2,4,6}:{(272,1),(273,1),(343,1),(373,1),(377,1),(378,1),(457,1)}
       327:{1,3,5}:{(273,1),(274,1),(280,1),(369,1),(378,1)}
       328:{1,4,5,6}:{(274,1),(275,1),(281,1),(345,1),(370,1),(375,1),(379,1),(380,1),(459,1),(505,1),(532,1)}
       329:{1,5,7}:{(275,1),(276,1),(282,1),(371,1)}
       330:{3,5,7}:{(277,1),(278,1),(280,1),(381,1)}
       331:{2,4,6}:{(278,1),(279,1),(283,1),(375,1),(381,1),(457,1)}
       332:{2,5,6,7}:{(279,1),(282,1),(284,1),(376,1),(382,1),(548,1)}
       333:{3,5,6}:{(280,1),(281,1),(347,1),(381,1),(383,1),(537,1)}
       334:{2,4,5,7}:{(281,1),(282,1),(285,1),(348,1),(380,1),(382,1),(383,1),(460,1),(538,1),(548,1),(552,1)}
       335:{4,6,7}:{(283,1),(284,1),(285,1),(552,1)}
       336:{1,2,4}:{(286,1),(290,1),(384,1),(389,1),(461,1)}
       337:{2,3}:{(286,1),(384,1)}
       338:{3,4}:{(287,1),(386,1)}
       339:{2,4,5}:{(287,1),(288,1),(293,1),(386,1),(387,1)}
       340:{2,5,6}:{(288,1),(289,1),(294,1),(387,1),(388,1),(513,1)}
       341:{2,6,7}:{(289,1),(295,1),(388,1)}
       342:{1,3,5}:{(290,1),(291,1),(325,1),(384,1),(389,1),(421,1)}
       343:{2,4}:{(291,1),(292,1),(389,1)}
       344:{1,3,4,5}:{(292,1),(293,1),(296,1),(327,1),(386,1),(390,1),(391,1),(404,1),(462,1),(477,1),(523,1)}
       345:{1,4,6}:{(293,1),(294,1),(297,1),(387,1),(392,1),(405,1)}
       346:{1,3,5,7}:{(294,1),(295,1),(298,1),(329,1),(388,1),(392,1),(406,1),(464,1),(489,1),(514,1)}
       347:{3,4,6}:{(296,1),(297,1),(333,1),(393,1),(550,1)}
       348:{2,4,7}:{(297,1),(298,1),(392,1),(393,1)}
       349:{1,3,6}:{(299,1),(300,1),(302,1),(394,1),(395,1),(487,1)}
       350:{2,4,6}:{(300,1),(301,1),(303,1),(394,1),(395,1),(396,1)}
       351:{3,5,6}:{(301,1),(304,1),(395,1),(396,1),(469,1)}
       352:{2,5,7}:{(302,1),(306,1),(310,1),(394,1)}
       353:{3,5,7}:{(303,1),(307,1),(311,1),(395,1),(399,1),(469,1)}
       354:{4,7}:{(304,1),(396,1)}
       355:{3,5,7}:{(305,1),(308,1),(313,1),(400,1),(401,1),(469,1)}
       356:{1,2,5}:{(306,1),(314,1),(402,1),(421,1),(484,1),(516,1)}
       357:{2,3,5}:{(306,1),(307,1),(315,1),(402,1),(403,1)}
       358:{3,4}:{(307,1),(403,1)}
       359:{4,5}:{(308,1),(405,1)}
       360:{3,5,6}:{(308,1),(309,1),(318,1),(405,1),(406,1)}
       361:{3,6,7}:{(309,1),(319,1),(406,1),(464,1)}
       362:{1,2,4,7}:{(310,1),(314,1),(320,1),(397,1),(407,1),(417,1),(472,1),(480,1)}
       363:{2,3,7}:{(310,1),(311,1),(315,1),(407,1)}
       364:{3,4,7}:{(311,1),(312,1),(316,1),(409,1),(464,1)}
       365:{2,4,5,7}:{(312,1),(313,1),(317,1),(323,1),(400,1),(409,1),(410,1),(418,1)}
       366:{2,5,6}:{(313,1),(324,1),(401,1),(410,1)}
       367:{1,3,6}:{(314,1),(315,1),(384,1),(402,1),(407,1),(412,1)}
       368:{2,3,4,6}:{(315,1),(316,1),(326,1),(385,1),(403,1),(408,1),(413,1),(414,1),(463,1),(468,1),(478,1),(482,1)}
       369:{3,5}:{(316,1),(317,1)}
       370:{2,4,5,6}:{(317,1),(318,1),(328,1),(387,1),(405,1),(410,1),(415,1),(416,1),(422,1),(470,1),(478,1),(517,1)}
       371:{2,5,7}:{(318,1),(319,1),(329,1),(406,1)}
       372:{1,3,7}:{(320,1),(321,1),(325,1),(417,1)}
       373:{2,4,7}:{(321,1),(322,1),(326,1),(417,1),(418,1)}
       374:{1,3,5,7}:{(322,1),(323,1),(327,1),(330,1),(409,1),(418,1),(419,1)}
       375:{1,4,6}:{(323,1),(324,1),(331,1),(410,1),(419,1),(487,1)}
       376:{1,5,6,7}:{(324,1),(329,1),(332,1),(411,1),(420,1),(542,1)}
       377:{1,4,6}:{(325,1),(326,1),(389,1),(417,1),(421,1),(487,1)}
       378:{2,5}:{(326,1),(327,1),(421,1)}
       379:{1,3,5,6}:{(327,1),(328,1),(333,1),(391,1),(415,1),(419,1),(422,1),(423,1)}
       380:{1,4,5,7}:{(328,1),(329,1),(334,1),(392,1),(416,1),(420,1),(423,1),(489,1),(525,1),(542,1)}
       381:{3,6}:{(330,1),(331,1)}
       382:{2,4,6,7}:{(331,1),(332,1),(334,1),(335,1),(420,1),(424,1),(488,1)}
       383:{3,5,7}:{(333,1),(334,1),(393,1),(424,1),(545,1)}
       384:{1,3}:{(336,1),(337,1),(425,1)}
       385:{2,3,4}:{(337,1),(338,1),(343,1),(426,1),(427,1),(503,1)}
       386:{3,5}:{(338,1),(339,1),(428,1)}
       387:{2,4,6}:{(339,1),(340,1),(345,1),(428,1),(429,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(429,1),(529,1)}
       389:{1,4}:{(342,1),(343,1)}
       390:{2,4,5}:{(343,1),(344,1),(378,1),(427,1),(430,1),(431,1),(490,1)}
       391:{1,3,4,6}:{(344,1),(345,1),(347,1),(379,1),(428,1),(431,1),(432,1),(445,1),(491,1),(505,1),(537,1)}
       392:{1,4,7}:{(345,1),(346,1),(348,1),(429,1),(446,1)}
       393:{3,4,7}:{(347,1),(348,1),(383,1),(552,1)}
       394:{2,6}:{(349,1),(352,1)}
       395:{3,6}:{(350,1),(353,1)}
       396:{4,6}:{(351,1),(354,1),(436,1)}
       397:{1,2,5,7}:{(352,1),(356,1),(362,1),(433,1),(437,1),(456,1),(507,1)}
       398:{2,3,5,7}:{(352,1),(353,1),(357,1),(363,1),(434,1),(437,1),(438,1),(496,1)}
       399:{3,4,7}:{(353,1),(354,1),(358,1),(435,1),(438,1)}
       400:{4,5,7}:{(354,1),(355,1),(359,1),(436,1),(440,1),(446,1)}
       401:{3,5,6}:{(355,1),(366,1),(440,1),(450,1)}
       402:{1,3,5}:{(356,1),(357,1),(367,1),(442,1),(443,1)}
       403:{2,4}:{(357,1),(358,1),(443,1)}
       404:{3,4,5}:{(358,1),(359,1),(369,1),(444,1),(445,1)}
       405:{4,6}:{(359,1),(360,1),(446,1)}
       406:{3,5,7}:{(360,1),(361,1),(371,1),(446,1)}
       407:{1,3,7}:{(362,1),(363,1),(367,1),(447,1)}
       408:{2,3,4,7}:{(363,1),(364,1),(368,1),(373,1),(438,1),(448,1),(449,1),(492,1),(506,1)}
       409:{3,5,7}:{(364,1),(365,1),(369,1),(450,1)}
       410:{2,4,6}:{(365,1),(366,1),(375,1),(440,1),(450,1),(457,1)}
       411:{2,5,6,7}:{(366,1),(371,1),(376,1),(441,1),(451,1),(533,1)}
       412:{2,3,6}:{(367,1),(425,1),(442,1),(447,1),(452,1),(537,1)}
       413:{1,3,4,6}:{(367,1),(368,1),(377,1),(426,1),(443,1),(448,1),(452,1),(453,1),(491,1),(495,1),(503,1),(505,1),(508,1),(530,1),(537,1)}
       414:{2,3,5}:{(368,1),(369,1),(378,1),(444,1),(453,1),(496,1)}
       415:{3,5,6}:{(369,1),(370,1),(428,1),(445,1),(450,1),(455,1)}
       416:{2,4,5,7}:{(370,1),(371,1),(380,1),(429,1),(446,1),(451,1),(455,1),(460,1),(498,1),(506,1),(533,1)}
       417:{1,4,7}:{(372,1),(373,1),(377,1),(456,1)}
       418:{2,5,7}:{(373,1),(374,1),(378,1),(456,1),(457,1)}
       419:{1,3,6}:{(374,1),(375,1),(381,1),(450,1),(457,1)}
       420:{1,4,6,7}:{(375,1),(376,1),(380,1),(382,1),(451,1),(458,1),(512,1)}
       421:{1,5}:{(377,1),(378,1)}
       422:{2,5,6}:{(378,1),(379,1),(431,1),(457,1),(459,1),(460,1)}
       423:{1,3,5,7}:{(379,1),(380,1),(383,1),(432,1),(455,1),(458,1),(460,1)}
       424:{3,6,7}:{(381,1),(382,1),(383,1)}
       425:{2,3}:{(384,1),(461,1)}
       426:{1,3,4}:{(384,1),(385,1),(389,1),(461,1),(462,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(462,1),(463,1),(523,1)}
       428:{3,6}:{(386,1),(387,1),(464,1)}
       429:{2,4,7}:{(387,1),(388,1),(392,1),(464,1)}
       430:{1,4,5}:{(389,1),(390,1),(421,1),(462,1),(465,1)}
       431:{2,4,6}:{(390,1),(391,1),(422,1),(463,1),(465,1),(466,1),(513,1)}
       432:{1,3,4,7}:{(391,1),(392,1),(393,1),(423,1),(464,1),(466,1),(479,1),(514,1),(525,1),(545,1)}
       433:{1,2,6}:{(394,1),(397,1),(467,1),(487,1),(526,1)}
       434:{2,3,6}:{(394,1),(395,1),(398,1),(467,1),(468,1)}
       435:{3,4,6}:{(395,1),(396,1),(399,1),(468,1),(469,1)}
       436:{4,5}:{(396,1),(469,1)}
       437:{1,3,5,7}:{(397,1),(398,1),(402,1),(407,1),(467,1),(471,1),(472,1),(516,1)}
       438:{2,4,7}:{(398,1),(399,1),(403,1),(468,1),(472,1)}
       439:{3,4,5,7}:{(399,1),(400,1),(404,1),(409,1),(469,1),(473,1),(474,1),(479,1),(518,1)}
       440:{4,6}:{(400,1),(401,1)}
       441:{3,5,6,7}:{(401,1),(406,1),(411,1),(475,1),(483,1),(518,1)}
       442:{2,3,5}:{(402,1),(412,1),(476,1),(484,1),(523,1)}
       443:{1,4}:{(402,1),(403,1),(476,1)}
       444:{2,4,5}:{(403,1),(404,1),(414,1),(477,1),(478,1)}
       445:{3,4,6}:{(404,1),(405,1),(415,1),(478,1),(479,1)}
       446:{4,7}:{(405,1),(406,1)}
       447:{2,3,7}:{(407,1),(412,1),(480,1),(545,1)}
       448:{1,3,4,7}:{(407,1),(408,1),(413,1),(417,1),(472,1),(480,1),(481,1),(514,1),(519,1),(525,1),(545,1)}
       449:{2,3,5,7}:{(408,1),(409,1),(414,1),(418,1),(473,1),(481,1),(482,1)}
       450:{3,6}:{(409,1),(410,1)}
       451:{2,4,6,7}:{(410,1),(411,1),(416,1),(420,1),(475,1),(483,1),(488,1)}
       452:{2,4,6}:{(412,1),(413,1),(461,1),(476,1),(480,1),(484,1),(513,1),(526,1)}
       453:{1,3,5}:{(413,1),(414,1),(421,1),(477,1),(484,1),(516,1),(523,1),(540,1)}
       454:{2,3,5,6}:{(414,1),(415,1),(422,1),(463,1),(478,1),(482,1),(485,1),(486,1),(517,1)}
       455:{3,5,7}:{(415,1),(416,1),(464,1),(479,1),(483,1)}
       456:{1,5,7}:{(417,1),(418,1),(421,1),(487,1)}
       457:{2,6}:{(418,1),(419,1),(487,1)}
       458:{1,3,6,7}:{(419,1),(420,1),(423,1),(424,1),(483,1),(488,1)}
       459:{1,5,6}:{(421,1),(422,1),(465,1),(487,1),(489,1)}
       460:{2,5,7}:{(422,1),(423,1),(466,1),(488,1),(489,1)}
       461:{2,4}:{(425,1),(426,1),(490,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(490,1),(491,1)}
       463:{2,3,6}:{(427,1),(428,1),(431,1),(491,1),(492,1),(537,1)}
       464:{3,7}:{(428,1),(429,1)}
       465:{1,4,6}:{(430,1),(431,1),(459,1),(491,1),(493,1)}
       466:{2,4,7}:{(431,1),(432,1),(460,1),(492,1),(493,1),(529,1)}
       467:{1,3,6}:{(433,1),(434,1),(437,1),(494,1),(495,1)}
       468:{2,4,6}:{(434,1),(435,1),(438,1),(495,1),(496,1)}
       469:{3,5}:{(435,1),(436,1),(496,1)}
       470:{4,5,6}:{(436,1),(440,1),(497,1),(498,1)}
       471:{2,3,5,7}:{(437,1),(442,1),(447,1),(494,1),(499,1),(507,1),(531,1),(534,1)}
       472:{1,4,7}:{(437,1),(438,1),(443,1),(495,1),(499,1)}
       473:{2,4,5,7}:{(438,1),(439,1),(444,1),(449,1),(496,1),(500,1),(501,1),(506,1),(533,1)}
       474:{3,4,6}:{(439,1),(440,1),(450,1),(497,1),(501,1)}
       475:{4,6,7}:{(440,1),(441,1),(446,1),(498,1)}
       476:{2,4}:{(442,1),(443,1),(503,1)}
       477:{1,4,5}:{(443,1),(444,1),(453,1),(504,1),(505,1),(546,1)}
       478:{2,4,6}:{(444,1),(445,1),(454,1),(505,1),(506,1)}
       479:{3,4,7}:{(445,1),(446,1),(455,1),(506,1)}
       480:{2,4,7}:{(447,1),(448,1),(452,1),(507,1),(529,1)}
       481:{1,3,5,7}:{(448,1),(449,1),(453,1),(456,1),(500,1),(507,1),(508,1),(534,1)}
       482:{2,3,6}:{(449,1),(450,1),(457,1),(501,1),(508,1)}
       483:{3,6,7}:{(450,1),(451,1),(455,1)}
       484:{2,5}:{(452,1),(453,1)}
       485:{1,3,5,6}:{(453,1),(454,1),(459,1),(491,1),(505,1),(508,1),(510,1),(511,1),(532,1),(537,1),(547,1)}
       486:{2,3,5,7}:{(454,1),(455,1),(460,1),(492,1),(506,1),(509,1),(511,1),(533,1)}
       487:{1,6}:{(456,1),(457,1)}
       488:{2,6,7}:{(457,1),(458,1),(460,1),(512,1)}
       489:{1,5,7}:{(459,1),(460,1),(493,1),(512,1)}
       490:{2,5}:{(461,1),(462,1),(513,1)}
       491:{1,3,6}:{(462,1),(463,1),(465,1),(513,1),(514,1)}
       492:{2,3,7}:{(463,1),(464,1),(466,1),(514,1),(545,1)}
       493:{1,4,7}:{(465,1),(466,1),(489,1),(514,1)}
       494:{2,3,6}:{(467,1),(471,1),(515,1),(526,1),(543,1)}
       495:{1,4,6}:{(467,1),(468,1),(472,1),(515,1),(516,1)}
       496:{2,5}:{(468,1),(469,1),(516,1)}
       497:{3,5,6}:{(469,1),(470,1),(474,1),(517,1),(518,1)}
       498:{4,5,7}:{(470,1),(475,1),(518,1)}
       499:{2,4,7}:{(471,1),(472,1),(476,1),(515,1),(519,1)}
       500:{1,4,5,7}:{(472,1),(473,1),(477,1),(481,1),(516,1),(520,1),(521,1),(525,1),(542,1)}
       501:{2,4,6}:{(473,1),(474,1),(482,1),(517,1),(521,1)}
       502:{3,4,6,7}:{(474,1),(475,1),(479,1),(483,1),(518,1),(522,1)}
       503:{3,4}:{(476,1),(523,1)}
       504:{2,4,5}:{(476,1),(477,1),(484,1),(523,1),(524,1)}
       505:{1,4,6}:{(477,1),(478,1),(485,1),(524,1),(525,1),(550,1)}
       506:{2,4,7}:{(478,1),(479,1),(486,1),(525,1)}
       507:{2,5,7}:{(480,1),(481,1),(484,1),(526,1)}
       508:{1,3,6}:{(481,1),(482,1),(487,1),(521,1),(526,1),(543,1)}
       509:{2,3,6,7}:{(482,1),(483,1),(486,1),(488,1),(522,1),(527,1)}
       510:{2,5,6}:{(484,1),(485,1),(513,1),(524,1),(526,1),(528,1)}
       511:{1,3,5,7}:{(485,1),(486,1),(489,1),(514,1),(525,1),(527,1),(528,1),(542,1),(545,1),(551,1)}
       512:{1,6,7}:{(487,1),(488,1),(489,1)}
       513:{2,6}:{(490,1),(491,1),(529,1)}
       514:{1,3,7}:{(491,1),(492,1),(493,1),(529,1)}
       515:{2,4,6}:{(494,1),(495,1),(499,1),(530,1),(531,1)}
       516:{1,5}:{(495,1),(496,1),(531,1)}
       517:{2,5,6}:{(496,1),(497,1),(501,1),(532,1),(533,1)}
       518:{3,5,7}:{(497,1),(498,1),(502,1),(533,1)}
       519:{3,4,7}:{(499,1),(503,1),(530,1),(534,1),(552,1)}
       520:{2,4,5,7}:{(499,1),(500,1),(504,1),(507,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       521:{1,4,6}:{(500,1),(501,1),(508,1),(532,1),(535,1)}
       522:{2,4,6,7}:{(501,1),(502,1),(506,1),(509,1),(533,1),(536,1)}
       523:{3,5}:{(503,1),(504,1),(537,1)}
       524:{2,4,6}:{(504,1),(505,1),(510,1),(537,1),(538,1)}
       525:{1,4,7}:{(505,1),(506,1),(511,1),(538,1),(552,1)}
       526:{2,6}:{(507,1),(508,1)}
       527:{1,3,6,7}:{(508,1),(509,1),(511,1),(512,1),(536,1),(539,1),(549,1)}
       528:{2,5,7}:{(510,1),(511,1),(529,1),(538,1),(539,1)}
       529:{2,7}:{(513,1),(514,1)}
       530:{3,4,6}:{(515,1),(519,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(515,1),(516,1),(540,1)}
       532:{1,5,6}:{(516,1),(517,1),(521,1),(541,1),(542,1)}
       533:{2,5,7}:{(517,1),(518,1),(522,1),(542,1)}
       534:{3,5,7}:{(519,1),(520,1),(523,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(520,1),(521,1),(526,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(521,1),(522,1),(525,1),(527,1),(542,1),(544,1)}
       537:{3,6}:{(523,1),(524,1),(545,1)}
       538:{2,4,7}:{(524,1),(525,1),(528,1),(545,1)}
       539:{2,6,7}:{(526,1),(527,1),(528,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 496 :   0:{3,4,5,7}:{(1,1),(2,1),(11,1),(89,1),(94,1),(184,1),(288,1),(367,1),(370,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(60,1),(63,1),(139,1),(238,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(410,1),(413,1)}
         3:{3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(45,1),(94,1)}
         4:{3,5,6,7}:{(11,1),(12,1),(13,1),(45,1),(366,1),(385,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(370,1),(374,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(16,1),(17,1),(41,1),(88,1),(93,1),(103,1),(189,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1)}
         8:{3,5,6}:{(2,1),(11,1),(18,1),(19,1),(288,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(63,1),(116,1),(139,1),(224,1),(321,1),(325,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(63,1)}
        11:{3,5,7}:{(3,1),(8,1),(24,1),(25,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(319,1),(336,1)}
        13:{4,6,7}:{(4,1),(25,1),(410,1),(426,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(31,1),(59,1),(418,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(413,1),(417,1)}
        16:{2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(65,1),(73,1),(123,1),(129,1),(132,1),(146,1),(152,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(32,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(238,1)}
        19:{4,5,6}:{(8,1),(25,1),(340,1),(410,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(51,1),(83,1),(93,1),(103,1),(173,1),(278,1),(375,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(50,1),(157,1),(186,1),(196,1),(256,1),(265,1),(292,1),(296,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(45,1),(101,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(40,1),(41,1),(93,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{4,5,7}:{(11,1),(13,1),(19,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(44,1),(270,1),(285,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(44,1),(45,1),(101,1),(369,1)}
        28:{2,5,7}:{(14,1),(35,1),(48,1),(87,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(48,1),(52,1),(456,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(49,1),(50,1),(55,1),(115,1),(196,1)}
        31:{3,5,7}:{(16,1),(51,1),(52,1),(112,1),(165,1),(173,1)}
        32:{2,4,6}:{(16,1),(17,1),(48,1),(52,1),(53,1),(113,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(53,1),(189,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(50,1),(54,1),(55,1),(115,1),(291,1),(304,1),(369,1),(384,1),(463,1)}
        35:{2,4,7}:{(20,1),(28,1),(57,1),(58,1),(331,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(58,1),(59,1),(76,1),(79,1),(118,1),(142,1),(148,1),(208,1),(213,1),(249,1),(316,1),(348,1)}
        37:{2,3,5}:{(21,1),(59,1),(60,1),(238,1),(343,1),(347,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(61,1),(62,1),(64,1),(138,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(62,1),(63,1),(67,1),(134,1),(224,1)}
        40:{2,4,6,7}:{(23,1),(32,1),(61,1),(64,1),(65,1),(129,1),(132,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1),(65,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(63,1),(66,1),(67,1),(134,1),(334,1),(336,1),(426,1)}
        43:{2,5,6,7}:{(26,1),(65,1),(68,1),(69,1),(221,1),(232,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(66,1),(69,1),(70,1),(138,1),(323,1)}
        45:{3,6,7}:{(27,1),(67,1),(413,1)}
        46:{1,2,5,7}:{(28,1),(56,1),(71,1),(72,1),(119,1),(203,1),(418,1)}
        47:{2,3,5,7}:{(28,1),(31,1),(57,1),(71,1),(73,1),(74,1),(122,1),(146,1)}
        48:{2,6}:{(28,1),(29,1)}
        49:{1,3,5,6}:{(29,1),(30,1),(33,1),(59,1),(62,1),(75,1),(76,1),(80,1),(148,1),(155,1),(249,1)}
        50:{2,4,6}:{(30,1),(60,1),(63,1),(76,1),(77,1)}
        51:{3,4,7}:{(31,1),(73,1),(79,1),(132,1),(213,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{2,5,6}:{(32,1),(33,1),(65,1),(80,1),(146,1)}
        54:{1,4,5,6}:{(33,1),(34,1),(66,1),(76,1),(81,1),(82,1),(155,1),(242,1),(252,1),(323,1),(335,1)}
        55:{3,5,6}:{(34,1),(67,1),(77,1),(343,1),(354,1),(413,1)}
        56:{1,2,4,7}:{(35,1),(46,1),(83,1),(84,1),(103,1),(156,1),(375,1),(376,1)}
        57:{2,3,7}:{(35,1),(83,1),(86,1),(173,1)}
        58:{2,4,6}:{(35,1),(36,1),(48,1),(86,1),(87,1),(164,1),(302,1),(365,1)}
        59:{1,3,5}:{(36,1),(37,1),(87,1),(88,1),(112,1),(165,1),(189,1),(395,1)}
        60:{2,4,5}:{(37,1),(50,1),(88,1),(89,1),(256,1)}
        61:{2,6,7}:{(38,1),(48,1),(92,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(41,1),(49,1),(92,1),(93,1),(96,1),(173,1),(179,1),(278,1)}
        63:{2,4,7}:{(39,1),(50,1),(93,1),(94,1)}
        64:{3,6,7}:{(40,1),(52,1),(96,1),(173,1)}
        65:{2,5,7}:{(40,1),(41,1),(53,1),(96,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(44,1),(54,1),(93,1),(97,1),(98,1),(179,1),(282,1),(285,1)}
        67:{3,5,7}:{(42,1),(45,1),(55,1),(94,1),(383,1)}
        68:{3,5,6,7}:{(43,1),(96,1),(99,1),(100,1),(175,1),(181,1)}
        69:{2,4,6,7}:{(43,1),(44,1),(97,1),(99,1),(100,1),(101,1),(275,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(98,1),(100,1),(101,1),(373,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(83,1),(102,1),(103,1),(104,1),(160,1),(189,1)}
        72:{1,2,6}:{(46,1),(48,1),(104,1),(254,1),(456,1)}
        73:{2,4,7}:{(47,1),(51,1),(103,1),(107,1),(164,1)}
        74:{2,3,6}:{(47,1),(48,1),(52,1),(104,1),(107,1)}
        75:{2,5,6}:{(48,1),(49,1),(87,1),(92,1),(109,1),(302,1)}
        76:{1,4,6}:{(49,1),(50,1),(88,1),(93,1),(109,1),(113,1)}
        77:{3,4,6}:{(50,1),(55,1),(89,1),(94,1),(463,1)}
        78:{3,4,5,7}:{(51,1),(106,1),(111,1),(112,1),(176,1),(198,1),(264,1),(276,1),(364,1)}
        79:{3,4,6}:{(51,1),(52,1),(107,1),(112,1),(113,1)}
        80:{3,5,6}:{(52,1),(53,1),(96,1),(112,1),(113,1)}
        81:{2,4,5,6}:{(53,1),(54,1),(97,1),(109,1),(113,1),(114,1),(115,1),(180,1),(194,1),(201,1),(275,1),(284,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(98,1),(110,1),(114,1),(115,1),(295,1),(373,1)}
        83:{1,3,7}:{(56,1),(57,1),(116,1),(118,1)}
        84:{1,2,4,6}:{(56,1),(58,1),(72,1),(118,1),(119,1),(142,1),(204,1),(208,1),(348,1),(349,1),(407,1)}
        85:{2,3,4,7}:{(57,1),(73,1),(117,1),(120,1),(121,1),(223,1),(314,1),(325,1),(474,1)}
        86:{2,3,6}:{(57,1),(58,1),(118,1),(122,1),(148,1),(408,1)}
        87:{2,5}:{(58,1),(59,1)}
        88:{1,4,5}:{(59,1),(60,1),(76,1),(123,1),(152,1),(208,1)}
        89:{3,4,5}:{(60,1),(77,1),(308,1),(343,1),(494,1)}
        90:{1,2,6,7}:{(61,1),(72,1),(125,1),(126,1),(138,1),(234,1),(305,1),(417,1),(488,1),(489,1),(527,1)}
        91:{2,3,6,7}:{(61,1),(64,1),(74,1),(125,1),(127,1),(128,1),(328,1),(417,1),(527,1),(528,1),(545,1)}
        92:{2,5,7}:{(61,1),(62,1),(75,1),(129,1),(331,1)}
        93:{1,4,7}:{(62,1),(63,1),(76,1),(129,1),(132,1)}
        94:{3,4,7}:{(63,1),(67,1),(77,1),(426,1)}
        95:{3,4,6,7}:{(64,1),(79,1),(127,1),(131,1),(132,1),(223,1),(227,1),(328,1),(545,1),(546,1),(551,1)}
        96:{3,5,7}:{(64,1),(65,1),(80,1),(132,1)}
        97:{2,4,5,7}:{(65,1),(66,1),(69,1),(81,1),(129,1),(132,1),(133,1),(134,1),(135,1),(229,1),(232,1)}
        98:{1,3,5,7}:{(66,1),(67,1),(70,1),(82,1),(130,1),(133,1),(134,1)}
        99:{4,6,7}:{(68,1),(132,1),(135,1),(227,1)}
       100:{3,6,7}:{(69,1),(133,1),(328,1)}
       101:{2,6,7}:{(70,1),(134,1),(138,1),(417,1)}
       102:{2,3,5,7}:{(71,1),(116,1),(139,1),(140,1),(203,1),(205,1),(235,1),(238,1)}
       103:{1,4,7}:{(71,1),(73,1),(139,1),(142,1),(208,1)}
       104:{1,3,6}:{(71,1),(72,1),(74,1),(140,1),(142,1)}
       105:{1,2,5,6}:{(72,1),(75,1),(119,1),(126,1),(143,1),(144,1),(155,1),(253,1),(306,1),(347,1),(349,1),(417,1),(435,1),(436,1),(489,1),(499,1)}
       106:{2,4,5,7}:{(73,1),(78,1),(120,1),(141,1),(145,1),(146,1),(212,1),(245,1),(314,1)}
       107:{2,4,6}:{(73,1),(74,1),(79,1),(142,1),(146,1)}
       108:{2,3,5,6}:{(74,1),(75,1),(80,1),(122,1),(128,1),(143,1),(146,1),(147,1),(148,1),(221,1),(244,1),(247,1),(328,1),(347,1),(417,1),(499,1),(500,1),(528,1),(533,1),(544,1),(547,1)}
       109:{2,4,6}:{(75,1),(76,1),(123,1),(129,1),(148,1)}
       110:{1,3,4,6}:{(76,1),(77,1),(82,1),(124,1),(130,1),(148,1),(149,1),(153,1),(249,1),(252,1),(354,1)}
       111:{3,4,6}:{(78,1),(145,1),(151,1),(227,1),(328,1)}
       112:{3,5}:{(79,1),(146,1),(152,1)}
       113:{4,6}:{(80,1),(132,1),(152,1)}
       114:{3,5,6}:{(81,1),(133,1),(148,1),(153,1),(247,1),(328,1)}
       115:{2,5,6}:{(82,1),(134,1),(149,1),(155,1),(347,1),(417,1)}
       116:{2,3,7}:{(83,1),(156,1),(157,1),(440,1)}
       117:{1,3,4,7}:{(83,1),(85,1),(103,1),(156,1),(158,1),(159,1),(184,1),(359,1),(375,1),(440,1),(502,1)}
       118:{1,3,6}:{(83,1),(84,1),(86,1),(157,1),(160,1),(446,1)}
       119:{1,2,5}:{(84,1),(87,1),(160,1),(189,1),(255,1),(395,1)}
       120:{2,3,5,7}:{(85,1),(106,1),(158,1),(162,1),(163,1),(276,1),(374,1)}
       121:{2,3,4,6}:{(85,1),(86,1),(107,1),(159,1),(162,1),(163,1),(164,1),(195,1),(263,1),(296,1),(358,1),(441,1)}
       122:{2,3,5}:{(86,1),(87,1),(160,1),(164,1),(165,1)}
       123:{2,4,5}:{(87,1),(88,1),(109,1),(164,1),(165,1)}
       124:{1,3,4,5}:{(88,1),(89,1),(110,1),(165,1),(166,1),(200,1),(260,1),(266,1),(295,1),(303,1),(399,1)}
       125:{1,3,6,7}:{(90,1),(91,1),(104,1),(167,1),(168,1),(169,1),(373,1),(456,1),(512,1)}
       126:{1,2,5,7}:{(90,1),(92,1),(105,1),(169,1),(170,1),(179,1),(283,1),(355,1),(374,1),(376,1),(471,1),(519,1)}
       127:{2,4,6,7}:{(91,1),(95,1),(107,1),(168,1),(171,1),(172,1),(275,1),(540,1)}
       128:{2,3,5,7}:{(91,1),(92,1),(96,1),(108,1),(169,1),(171,1),(172,1),(173,1),(273,1),(276,1),(374,1),(519,1),(542,1),(548,1)}
       129:{2,4,7}:{(92,1),(93,1),(109,1),(173,1)}
       130:{1,3,4,7}:{(93,1),(94,1),(98,1),(110,1),(173,1),(174,1),(177,1),(278,1),(282,1),(383,1)}
       131:{3,5,7}:{(95,1),(112,1),(171,1),(175,1),(176,1),(550,1)}
       132:{4,7}:{(96,1),(113,1)}
       133:{3,5,7}:{(97,1),(100,1),(114,1),(173,1),(177,1)}
       134:{2,5,7}:{(98,1),(101,1),(115,1),(174,1),(179,1)}
       135:{4,5,7}:{(99,1),(180,1),(181,1)}
       136:{3,4,6,7}:{(99,1),(100,1),(177,1),(181,1),(182,1),(280,1)}
       137:{2,3,6,7}:{(100,1),(101,1),(178,1),(182,1),(183,1),(378,1)}
       138:{1,6,7}:{(101,1),(179,1),(456,1)}
       139:{2,4,7}:{(102,1),(103,1),(184,1),(186,1),(256,1)}
       140:{2,3,6}:{(102,1),(104,1),(186,1),(254,1),(287,1)}
       141:{1,4,5,7}:{(103,1),(106,1),(158,1),(185,1),(188,1),(189,1),(259,1),(293,1),(359,1)}
       142:{1,4,6}:{(103,1),(104,1),(107,1),(186,1),(189,1)}
       143:{1,3,5,6}:{(104,1),(105,1),(108,1),(160,1),(169,1),(187,1),(189,1),(190,1),(191,1),(270,1),(295,1),(297,1),(373,1),(395,1),(456,1),(472,1),(512,1),(541,1)}
       144:{1,2,4,6}:{(105,1),(109,1),(161,1),(170,1),(190,1),(191,1),(197,1),(296,1),(302,1),(304,1),(356,1),(445,1),(503,1),(517,1)}
       145:{2,4,6}:{(106,1),(111,1),(162,1),(188,1),(193,1)}
       146:{2,5}:{(107,1),(112,1),(189,1)}
       147:{2,4,6}:{(108,1),(113,1),(164,1),(172,1),(190,1),(194,1),(195,1),(520,1),(549,1)}
       148:{3,6}:{(109,1),(165,1),(173,1)}
       149:{2,4,6}:{(110,1),(115,1),(166,1),(174,1),(196,1),(197,1),(302,1)}
       150:{3,4,6,7}:{(111,1),(192,1),(198,1),(279,1),(364,1),(377,1)}
       151:{3,5,6}:{(111,1),(112,1),(193,1),(198,1),(199,1)}
       152:{4,5}:{(112,1),(113,1)}
       153:{3,4,6}:{(113,1),(114,1),(177,1),(200,1),(201,1)}
       154:{2,3,5,6}:{(114,1),(115,1),(178,1),(196,1),(201,1),(202,1),(284,1),(300,1),(378,1)}
       155:{1,5,6}:{(115,1),(179,1),(197,1),(395,1),(456,1)}
       156:{2,4,7}:{(116,1),(117,1),(203,1),(204,1),(521,1)}
       157:{2,3,6}:{(116,1),(118,1),(204,1),(205,1),(401,1),(477,1)}
       158:{1,3,5,7}:{(117,1),(120,1),(141,1),(203,1),(206,1),(207,1),(235,1),(418,1)}
       159:{1,3,4,6}:{(117,1),(118,1),(121,1),(142,1),(204,1),(206,1),(207,1),(208,1),(236,1),(308,1),(310,1),(348,1),(401,1),(403,1),(475,1)}
       160:{1,3,5}:{(118,1),(119,1),(122,1),(205,1),(208,1)}
       161:{1,2,4,5}:{(119,1),(123,1),(144,1),(208,1),(209,1),(215,1),(242,1),(307,1),(312,1),(317,1),(347,1),(353,1),(406,1),(407,1),(436,1),(476,1),(497,1),(501,1)}
       162:{2,3,6}:{(120,1),(145,1),(206,1),(328,1),(417,1)}
       163:{2,3,5}:{(121,1),(146,1),(207,1),(212,1),(247,1),(347,1)}
       164:{2,4}:{(122,1),(208,1),(213,1)}
       165:{3,5}:{(123,1),(148,1),(213,1)}
       166:{2,4,5}:{(124,1),(149,1),(214,1),(215,1),(312,1),(317,1),(347,1)}
       167:{2,3,6,7}:{(125,1),(140,1),(216,1),(217,1),(234,1),(305,1),(337,1),(338,1),(413,1),(417,1),(491,1)}
       168:{1,4,6,7}:{(125,1),(127,1),(142,1),(216,1),(218,1),(219,1),(323,1),(530,1)}
       169:{1,3,5,7}:{(125,1),(126,1),(128,1),(143,1),(217,1),(218,1),(219,1),(220,1),(326,1),(418,1)}
       170:{1,2,4,7}:{(126,1),(129,1),(144,1),(219,1),(220,1),(225,1),(325,1),(331,1),(334,1),(400,1),(478,1),(521,1),(532,1)}
       171:{2,5,7}:{(127,1),(131,1),(146,1),(218,1),(221,1),(547,1)}
       172:{2,4,7}:{(128,1),(132,1),(147,1),(219,1),(223,1),(551,1)}
       173:{3,7}:{(129,1),(148,1)}
       174:{2,4,7}:{(130,1),(134,1),(149,1),(224,1),(225,1),(331,1)}
       175:{3,5,6}:{(131,1),(221,1),(227,1),(328,1)}
       176:{4,5,7}:{(131,1),(132,1),(152,1),(227,1),(551,1),(552,1)}
       177:{3,4,7}:{(132,1),(133,1),(153,1),(229,1)}
       178:{2,3,5,7}:{(133,1),(134,1),(137,1),(154,1),(224,1),(229,1),(230,1),(232,1)}
       179:{1,5,7}:{(134,1),(138,1),(155,1),(225,1)}
       180:{4,5,6}:{(135,1),(227,1),(231,1),(552,1)}
       181:{3,5,7}:{(135,1),(136,1),(231,1),(232,1)}
       182:{2,4,6,7}:{(136,1),(137,1),(229,1),(232,1),(233,1),(332,1)}
       183:{1,3,6,7}:{(137,1),(138,1),(230,1),(233,1),(234,1),(337,1),(420,1)}
       184:{3,4,7}:{(139,1),(235,1),(236,1),(308,1),(427,1)}
       185:{2,4,5,7}:{(139,1),(141,1),(203,1),(235,1),(237,1),(238,1),(307,1),(340,1),(341,1),(400,1),(427,1)}
       186:{2,4,6}:{(139,1),(140,1),(142,1),(236,1),(238,1)}
       187:{2,3,5,6}:{(140,1),(143,1),(205,1),(217,1),(238,1),(239,1),(244,1),(253,1),(306,1),(319,1),(339,1),(343,1),(347,1),(354,1),(401,1),(413,1),(417,1),(425,1),(438,1),(491,1),(531,1)}
       188:{1,4,6}:{(141,1),(145,1),(206,1),(237,1),(241,1)}
       189:{1,5}:{(142,1),(146,1),(238,1)}
       190:{1,4,6}:{(143,1),(147,1),(208,1),(219,1),(239,1),(242,1),(501,1)}
       191:{1,3,6}:{(144,1),(148,1),(209,1),(220,1),(244,1),(354,1),(401,1),(533,1)}
       192:{2,4,6,7}:{(145,1),(150,1),(210,1),(240,1),(245,1),(314,1)}
       193:{2,5,6}:{(145,1),(146,1),(151,1),(241,1),(245,1)}
       194:{2,4,5}:{(146,1),(147,1),(152,1),(242,1),(247,1),(347,1),(547,1),(552,1)}
       195:{3,4,6}:{(147,1),(148,1),(213,1),(223,1),(247,1),(328,1),(533,1),(534,1)}
       196:{2,3,6}:{(148,1),(149,1),(214,1),(224,1),(249,1),(354,1)}
       197:{1,4,6}:{(149,1),(155,1),(215,1),(225,1),(249,1)}
       198:{3,5,7}:{(150,1),(151,1),(245,1),(250,1)}
       199:{4,5,6}:{(151,1),(152,1),(227,1),(250,1)}
       200:{3,4,5}:{(152,1),(153,1),(247,1),(251,1),(534,1)}
       201:{2,4,6}:{(153,1),(154,1),(229,1),(251,1),(252,1)}
       202:{1,3,5,6}:{(154,1),(155,1),(230,1),(249,1),(252,1),(253,1),(335,1),(351,1),(354,1),(420,1),(425,1)}
       203:{2,5,7}:{(156,1),(158,1),(254,1),(255,1)}
       204:{2,4,6}:{(156,1),(157,1),(159,1),(254,1),(255,1),(256,1),(443,1),(503,1)}
       205:{2,3,5}:{(157,1),(160,1),(255,1),(256,1),(357,1)}
       206:{1,3,6}:{(158,1),(162,1),(188,1),(254,1),(287,1),(456,1)}
       207:{1,3,5}:{(159,1),(163,1),(189,1),(255,1),(259,1),(288,1),(357,1),(395,1)}
       208:{1,4}:{(160,1),(164,1),(256,1)}
       209:{1,3,5}:{(161,1),(165,1),(191,1),(260,1),(261,1),(357,1),(399,1),(446,1),(518,1)}
       210:{2,3,6,7}:{(162,1),(192,1),(257,1),(262,1),(377,1),(455,1)}
       211:{2,3,5,6}:{(162,1),(163,1),(193,1),(258,1),(262,1),(263,1),(299,1),(394,1),(441,1)}
       212:{2,4,5}:{(163,1),(164,1),(259,1),(263,1),(264,1)}
       213:{3,4}:{(164,1),(165,1)}
       214:{2,3,5}:{(165,1),(166,1),(196,1),(265,1),(266,1),(399,1)}
       215:{1,4,5}:{(166,1),(197,1),(266,1),(362,1),(395,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(186,1),(267,1),(268,1),(269,1),(369,1),(514,1)}
       217:{2,3,5,7}:{(167,1),(169,1),(187,1),(268,1),(269,1),(273,1),(283,1),(355,1),(370,1),(374,1),(383,1),(385,1),(386,1),(440,1)}
       218:{1,5,7}:{(168,1),(171,1),(189,1),(268,1),(270,1),(541,1)}
       219:{1,4,7}:{(169,1),(172,1),(190,1),(269,1)}
       220:{1,3,7}:{(170,1),(173,1),(191,1),(273,1),(383,1),(440,1),(542,1)}
       221:{2,5,6}:{(171,1),(175,1),(270,1),(275,1)}
       222:{2,4,5,7}:{(171,1),(172,1),(176,1),(194,1),(271,1),(275,1),(276,1),(374,1)}
       223:{3,4,7}:{(172,1),(173,1),(195,1),(276,1),(542,1)}
       224:{2,3,7}:{(173,1),(174,1),(196,1),(278,1),(383,1)}
       225:{1,4,7}:{(174,1),(179,1),(197,1),(278,1)}
       226:{3,5,6,7}:{(175,1),(198,1),(274,1),(279,1),(377,1),(548,1)}
       227:{4,6}:{(175,1),(176,1)}
       228:{3,4,5,7}:{(176,1),(177,1),(181,1),(200,1),(276,1),(280,1),(281,1),(539,1),(550,1)}
       229:{2,4,7}:{(177,1),(178,1),(201,1),(282,1)}
       230:{1,3,5,7}:{(178,1),(179,1),(183,1),(202,1),(278,1),(282,1),(283,1),(285,1),(383,1),(385,1)}
       231:{3,5,6}:{(180,1),(181,1),(280,1),(284,1),(550,1)}
       232:{2,5,7}:{(181,1),(182,1),(284,1),(285,1)}
       233:{1,4,6,7}:{(182,1),(183,1),(282,1),(285,1),(286,1),(381,1)}
       234:{2,6,7}:{(183,1),(283,1),(459,1)}
       235:{3,5,7}:{(184,1),(185,1),(287,1),(288,1),(357,1),(440,1)}
       236:{3,4,6}:{(184,1),(186,1),(287,1),(288,1),(387,1)}
       237:{2,4,6}:{(185,1),(188,1),(254,1),(287,1),(290,1),(387,1)}
       238:{2,5}:{(186,1),(189,1),(288,1)}
       239:{2,4,6}:{(187,1),(190,1),(256,1),(269,1),(291,1),(292,1),(387,1),(463,1),(473,1)}
       240:{1,4,6,7}:{(188,1),(192,1),(257,1),(289,1),(293,1),(359,1)}
       241:{1,5,6}:{(188,1),(189,1),(193,1),(290,1),(293,1)}
       242:{1,4,5}:{(189,1),(190,1),(194,1),(291,1),(295,1),(395,1),(541,1)}
       243:{1,3,4,6}:{(190,1),(191,1),(195,1),(260,1),(272,1),(292,1),(295,1),(296,1),(373,1)}
       244:{2,3,6}:{(191,1),(261,1),(273,1),(296,1),(297,1),(302,1),(503,1)}
       245:{2,5,7}:{(192,1),(193,1),(198,1),(293,1)}
       246:{2,4,5,6}:{(193,1),(194,1),(199,1),(263,1),(275,1),(294,1),(298,1),(299,1),(394,1),(517,1),(536,1),(549,1)}
       247:{3,5}:{(194,1),(195,1)}
       248:{2,3,4,6}:{(195,1),(196,1),(201,1),(265,1),(277,1),(296,1),(300,1),(301,1),(378,1),(470,1),(520,1),(540,1)}
       249:{1,3,6}:{(196,1),(197,1),(266,1),(278,1),(302,1)}
       250:{4,5,7}:{(198,1),(199,1),(279,1)}
       251:{2,4,5}:{(200,1),(201,1),(300,1),(303,1),(520,1)}
       252:{1,4,6}:{(201,1),(202,1),(282,1),(303,1),(304,1),(463,1)}
       253:{2,5,6}:{(202,1),(283,1),(302,1),(304,1),(397,1),(459,1)}
       254:{2,6}:{(203,1),(206,1)}
       255:{2,5}:{(204,1),(207,1)}
       256:{2,4}:{(205,1),(208,1),(308,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(240,1),(305,1),(309,1),(338,1),(488,1)}
       258:{1,3,5,6}:{(206,1),(207,1),(211,1),(241,1),(306,1),(309,1),(310,1),(339,1),(401,1),(435,1),(475,1)}
       259:{1,4,5}:{(207,1),(208,1),(212,1),(307,1),(310,1),(340,1)}
       260:{1,3,4}:{(208,1),(209,1),(213,1),(308,1),(312,1),(439,1),(501,1),(534,1)}
       261:{2,3,5}:{(209,1),(244,1),(312,1),(313,1),(317,1),(347,1),(408,1),(476,1),(477,1)}
       262:{2,3,5,7}:{(210,1),(211,1),(245,1),(309,1),(314,1),(350,1),(434,1),(474,1)}
       263:{2,4,6}:{(211,1),(212,1),(310,1),(314,1),(315,1)}
       264:{3,4,5}:{(212,1),(213,1),(247,1),(315,1),(552,1)}
       265:{2,3,4}:{(213,1),(214,1),(312,1),(316,1),(439,1),(477,1)}
       266:{1,3,5}:{(214,1),(215,1),(249,1),(316,1),(317,1)}
       267:{3,4,6,7}:{(216,1),(236,1),(318,1),(321,1),(337,1),(338,1),(410,1),(413,1),(426,1),(427,1),(493,1)}
       268:{2,5,7}:{(216,1),(218,1),(238,1),(318,1),(319,1),(531,1)}
       269:{2,4,7}:{(217,1),(219,1),(239,1),(321,1),(426,1),(427,1)}
       270:{1,5,6}:{(218,1),(221,1),(319,1),(323,1)}
       271:{1,4,5,7}:{(218,1),(219,1),(222,1),(242,1),(320,1),(323,1),(324,1),(418,1)}
       272:{1,3,4,7}:{(219,1),(220,1),(223,1),(243,1),(321,1),(324,1),(325,1)}
       273:{2,3,7}:{(220,1),(244,1),(325,1),(326,1),(331,1),(521,1)}
       274:{2,5,6,7}:{(221,1),(226,1),(245,1),(322,1),(327,1),(543,1)}
       275:{2,4,6}:{(221,1),(222,1),(227,1),(323,1),(328,1),(417,1)}
       276:{3,5,7}:{(222,1),(223,1),(247,1),(328,1)}
       277:{2,3,4,7}:{(223,1),(224,1),(229,1),(248,1),(325,1),(329,1),(330,1),(487,1),(529,1)}
       278:{1,3,7}:{(224,1),(225,1),(249,1),(331,1)}
       279:{4,6,7}:{(226,1),(227,1),(250,1),(551,1)}
       280:{3,4,6}:{(227,1),(228,1),(231,1),(328,1),(332,1)}
       281:{2,4,5,7}:{(228,1),(229,1),(232,1),(251,1),(329,1),(332,1),(333,1),(529,1),(547,1)}
       282:{1,4,7}:{(229,1),(230,1),(252,1),(334,1),(426,1)}
       283:{2,5,7}:{(230,1),(234,1),(253,1),(331,1),(334,1)}
       284:{2,5,6}:{(231,1),(232,1),(332,1),(335,1),(547,1)}
       285:{1,5,7}:{(232,1),(233,1),(335,1),(336,1)}
       286:{2,4,6,7}:{(233,1),(234,1),(334,1),(336,1),(337,1),(423,1),(426,1)}
       287:{3,6}:{(235,1),(237,1)}
       288:{3,5}:{(236,1),(238,1),(340,1)}
       289:{2,4,6,7}:{(237,1),(240,1),(305,1),(338,1),(341,1),(400,1),(427,1)}
       290:{2,5,6}:{(237,1),(238,1),(241,1),(339,1),(341,1)}
       291:{2,4,5}:{(238,1),(239,1),(242,1),(340,1),(343,1),(347,1),(494,1),(531,1)}
       292:{3,4,6}:{(239,1),(308,1),(321,1),(343,1),(354,1),(401,1),(413,1),(439,1)}
       293:{1,5,7}:{(240,1),(241,1),(245,1),(341,1)}
       294:{1,4,5,6}:{(241,1),(242,1),(246,1),(310,1),(323,1),(342,1),(345,1),(346,1),(435,1),(496,1),(523,1)}
       295:{1,3,5}:{(242,1),(243,1),(247,1),(343,1),(347,1)}
       296:{2,4,6}:{(243,1),(244,1),(312,1),(325,1),(347,1),(348,1),(417,1)}
       297:{1,3,6}:{(244,1),(313,1),(326,1),(348,1),(349,1)}
       298:{2,4,5,7}:{(245,1),(246,1),(250,1),(314,1),(327,1),(345,1),(350,1),(434,1),(532,1),(543,1),(551,1)}
       299:{3,5,6}:{(246,1),(247,1),(315,1),(328,1),(350,1),(533,1)}
       300:{2,3,5}:{(247,1),(248,1),(251,1),(347,1),(351,1),(547,1)}
       301:{1,3,4,6}:{(248,1),(249,1),(252,1),(316,1),(330,1),(348,1),(351,1),(352,1),(354,1),(420,1),(437,1),(439,1),(493,1),(501,1),(530,1)}
       302:{2,6}:{(249,1),(317,1),(331,1)}
       303:{1,4,5}:{(251,1),(252,1),(351,1),(353,1),(494,1),(501,1)}
       304:{2,4,6}:{(252,1),(253,1),(334,1),(353,1),(354,1)}
       305:{2,6,7}:{(254,1),(257,1),(355,1)}
       306:{2,5,6}:{(254,1),(255,1),(258,1),(355,1),(356,1),(503,1)}
       307:{2,4,5}:{(255,1),(256,1),(259,1),(356,1),(357,1)}
       308:{3,4}:{(256,1),(357,1)}
       309:{1,3,5,7}:{(257,1),(258,1),(262,1),(293,1),(355,1),(359,1),(386,1),(440,1),(471,1),(502,1)}
       310:{1,4,6}:{(258,1),(259,1),(263,1),(356,1),(359,1),(387,1)}
       311:{1,3,4,5}:{(259,1),(260,1),(264,1),(295,1),(357,1),(360,1),(361,1),(388,1),(442,1),(466,1),(518,1)}
       312:{2,4}:{(260,1),(261,1),(362,1)}
       313:{1,3,5}:{(261,1),(297,1),(362,1),(363,1),(395,1),(446,1)}
       314:{2,4,7}:{(262,1),(263,1),(359,1),(364,1)}
       315:{3,4,6}:{(263,1),(264,1),(299,1),(364,1),(549,1)}
       316:{1,3,4}:{(265,1),(266,1),(362,1),(365,1),(446,1)}
       317:{2,5}:{(266,1),(302,1),(365,1)}
       318:{3,5,7}:{(267,1),(268,1),(288,1),(366,1),(367,1),(515,1)}
       319:{2,5,6}:{(268,1),(270,1),(366,1),(369,1)}
       320:{2,4,5,7}:{(268,1),(269,1),(271,1),(291,1),(367,1),(369,1),(370,1),(374,1)}
       321:{3,4,7}:{(269,1),(292,1),(370,1),(383,1),(440,1)}
       322:{1,5,6,7}:{(270,1),(274,1),(293,1),(368,1),(372,1),(535,1)}
       323:{1,4,6}:{(270,1),(271,1),(275,1),(369,1),(373,1),(456,1)}
       324:{1,3,5,7}:{(271,1),(272,1),(276,1),(295,1),(370,1),(373,1),(374,1)}
       325:{2,4,7}:{(272,1),(273,1),(296,1),(374,1),(375,1)}
       326:{1,3,7}:{(273,1),(297,1),(375,1),(376,1)}
       327:{2,4,6,7}:{(274,1),(275,1),(279,1),(298,1),(372,1),(377,1),(455,1)}
       328:{3,6}:{(275,1),(276,1)}
       329:{2,3,5,7}:{(276,1),(277,1),(281,1),(300,1),(374,1),(378,1),(379,1)}
       330:{1,3,4,7}:{(277,1),(278,1),(282,1),(301,1),(375,1),(379,1),(380,1),(383,1),(458,1),(462,1),(513,1)}
       331:{2,7}:{(278,1),(302,1)}
       332:{2,4,6}:{(280,1),(281,1),(284,1),(378,1),(381,1)}
       333:{1,4,5,7}:{(281,1),(282,1),(285,1),(303,1),(379,1),(381,1),(382,1),(513,1),(541,1)}
       334:{2,4,7}:{(282,1),(283,1),(304,1),(383,1)}
       335:{1,5,6}:{(284,1),(285,1),(381,1),(384,1),(541,1)}
       336:{2,5,7}:{(285,1),(286,1),(384,1),(385,1)}
       337:{3,6,7}:{(286,1),(383,1),(385,1),(461,1)}
       338:{3,6,7}:{(287,1),(289,1),(386,1),(440,1)}
       339:{3,5,6}:{(287,1),(288,1),(290,1),(386,1),(387,1)}
       340:{4,5}:{(288,1),(387,1)}
       341:{2,5,7}:{(289,1),(290,1),(293,1),(386,1)}
       342:{2,4,5,6}:{(290,1),(291,1),(294,1),(356,1),(369,1),(387,1),(389,1),(390,1),(394,1),(447,1),(465,1),(505,1)}
       343:{3,5}:{(291,1),(292,1)}
       344:{2,3,4,6}:{(292,1),(296,1),(358,1),(371,1),(391,1),(392,1),(398,1),(441,1),(452,1),(465,1),(473,1),(514,1)}
       345:{1,4,5,7}:{(293,1),(294,1),(298,1),(359,1),(372,1),(389,1),(393,1),(471,1),(516,1),(535,1)}
       346:{1,3,5,6}:{(294,1),(295,1),(299,1),(360,1),(373,1),(390,1),(393,1),(394,1)}
       347:{2,5}:{(295,1),(296,1),(395,1)}
       348:{1,4,6}:{(296,1),(297,1),(362,1),(375,1),(395,1),(456,1)}
       349:{1,2,6}:{(297,1),(302,1),(363,1),(376,1),(503,1)}
       350:{3,5,7}:{(298,1),(299,1),(364,1),(377,1),(542,1)}
       351:{1,3,5}:{(300,1),(301,1),(303,1),(395,1),(397,1),(399,1),(515,1),(541,1)}
       352:{2,4,6}:{(301,1),(302,1),(365,1),(380,1),(397,1),(398,1),(459,1),(473,1)}
       353:{2,4,5}:{(303,1),(304,1),(397,1),(399,1),(473,1)}
       354:{3,6}:{(304,1),(383,1),(399,1)}
       355:{2,5,7}:{(305,1),(306,1),(309,1),(400,1),(521,1)}
       356:{2,4,6}:{(306,1),(307,1),(310,1),(400,1),(401,1)}
       357:{3,5}:{(307,1),(308,1),(401,1)}
       358:{2,3,4}:{(308,1),(312,1),(402,1),(403,1),(408,1),(534,1)}
       359:{1,4,7}:{(309,1),(310,1),(314,1),(400,1),(427,1)}
       360:{1,3,4,6}:{(310,1),(311,1),(315,1),(346,1),(401,1),(404,1),(405,1),(428,1),(475,1),(496,1),(533,1)}
       361:{2,4,5}:{(311,1),(312,1),(347,1),(402,1),(405,1),(406,1),(476,1)}
       362:{1,4}:{(312,1),(313,1)}
       363:{1,2,5}:{(313,1),(317,1),(349,1),(407,1),(476,1)}
       364:{3,4,7}:{(314,1),(315,1),(350,1),(551,1)}
       365:{2,4}:{(316,1),(317,1),(408,1)}
       366:{3,5,6}:{(318,1),(319,1),(410,1),(413,1)}
       367:{4,5,7}:{(318,1),(340,1),(410,1),(426,1),(427,1),(494,1)}
       368:{2,5,6,7}:{(319,1),(322,1),(341,1),(409,1),(412,1),(522,1)}
       369:{2,4,6}:{(319,1),(320,1),(323,1),(410,1),(413,1),(417,1)}
       370:{3,5,7}:{(320,1),(321,1),(343,1),(413,1)}
       371:{2,3,4,7}:{(321,1),(325,1),(344,1),(414,1),(415,1),(422,1),(474,1),(492,1),(495,1)}
       372:{1,4,6,7}:{(322,1),(323,1),(327,1),(345,1),(412,1),(416,1),(488,1)}
       373:{1,3,6}:{(323,1),(324,1),(328,1),(413,1),(417,1)}
       374:{2,5,7}:{(324,1),(325,1),(347,1),(417,1),(418,1)}
       375:{1,4,7}:{(325,1),(326,1),(348,1),(418,1)}
       376:{1,2,7}:{(326,1),(331,1),(349,1),(521,1)}
       377:{3,6,7}:{(327,1),(328,1),(350,1)}
       378:{2,3,6}:{(328,1),(329,1),(332,1),(417,1),(420,1)}
       379:{1,3,5,7}:{(329,1),(330,1),(333,1),(351,1),(418,1),(420,1),(421,1),(424,1)}
       380:{2,4,7}:{(330,1),(331,1),(352,1),(421,1),(422,1)}
       381:{1,4,6}:{(332,1),(333,1),(335,1),(420,1),(423,1)}
       382:{2,4,5,7}:{(333,1),(334,1),(336,1),(353,1),(421,1),(423,1),(424,1),(426,1),(492,1),(494,1),(531,1)}
       383:{3,7}:{(334,1),(354,1)}
       384:{2,5,6}:{(335,1),(336,1),(423,1),(425,1),(531,1)}
       385:{3,5,7}:{(336,1),(337,1),(425,1),(426,1)}
       386:{3,5,7}:{(338,1),(339,1),(341,1),(427,1)}
       387:{4,6}:{(339,1),(340,1),(427,1)}
       388:{3,4,5}:{(340,1),(343,1),(428,1),(429,1),(439,1)}
       389:{2,4,5,7}:{(341,1),(342,1),(345,1),(400,1),(412,1),(427,1),(430,1),(434,1),(479,1),(495,1),(522,1)}
       390:{3,5,6}:{(342,1),(343,1),(401,1),(413,1),(428,1),(430,1)}
       391:{2,3,5}:{(343,1),(344,1),(347,1),(429,1),(432,1),(531,1)}
       392:{1,3,4,6}:{(344,1),(348,1),(403,1),(415,1),(432,1),(433,1),(437,1),(475,1),(485,1),(496,1),(501,1),(530,1),(533,1),(534,1),(546,1)}
       393:{1,3,5,7}:{(345,1),(346,1),(350,1),(404,1),(416,1),(430,1),(434,1)}
       394:{2,5,6}:{(346,1),(347,1),(405,1),(417,1),(434,1),(435,1)}
       395:{1,5}:{(347,1),(348,1)}
       396:{1,2,4,6}:{(348,1),(349,1),(352,1),(407,1),(419,1),(433,1),(436,1),(437,1),(489,1),(501,1),(530,1)}
       397:{2,5}:{(351,1),(352,1)}
       398:{2,3,6}:{(352,1),(354,1),(408,1),(422,1),(437,1),(438,1)}
       399:{3,5}:{(353,1),(354,1),(439,1)}
       400:{2,4,7}:{(355,1),(356,1),(359,1),(440,1)}
       401:{3,6}:{(356,1),(357,1),(440,1)}
       402:{2,3,5}:{(357,1),(358,1),(361,1),(441,1),(442,1),(518,1)}
       403:{1,3,4}:{(358,1),(362,1),(442,1),(443,1),(446,1)}
       404:{1,3,4,7}:{(359,1),(360,1),(364,1),(393,1),(440,1),(444,1),(464,1),(502,1),(516,1),(542,1)}
       405:{2,4,6}:{(360,1),(361,1),(394,1),(441,1),(444,1),(445,1),(503,1)}
       406:{1,4,5}:{(361,1),(362,1),(395,1),(442,1),(445,1)}
       407:{1,2,4}:{(362,1),(363,1),(365,1),(443,1),(446,1)}
       408:{2,3}:{(365,1),(446,1)}
       409:{3,5,6,7}:{(366,1),(368,1),(386,1),(448,1),(451,1),(504,1)}
       410:{4,6}:{(366,1),(367,1)}
       411:{3,4,5,7}:{(367,1),(370,1),(388,1),(449,1),(450,1),(462,1),(464,1),(504,1),(515,1)}
       412:{2,4,6,7}:{(368,1),(369,1),(372,1),(389,1),(448,1),(451,1),(455,1)}
       413:{3,6}:{(369,1),(370,1)}
       414:{2,3,5,7}:{(370,1),(371,1),(374,1),(391,1),(450,1),(452,1),(453,1)}
       415:{1,3,4,7}:{(371,1),(375,1),(392,1),(453,1),(454,1),(458,1),(502,1),(513,1),(516,1),(539,1),(542,1)}
       416:{1,3,6,7}:{(372,1),(373,1),(377,1),(393,1),(451,1),(455,1)}
       417:{2,6}:{(373,1),(374,1),(456,1)}
       418:{1,5,7}:{(374,1),(375,1),(395,1),(456,1)}
       419:{1,2,4,7}:{(375,1),(376,1),(380,1),(396,1),(454,1),(457,1),(458,1),(513,1)}
       420:{1,3,6}:{(378,1),(379,1),(381,1),(456,1),(459,1),(461,1)}
       421:{2,5,7}:{(379,1),(380,1),(397,1),(459,1)}
       422:{2,3,7}:{(380,1),(383,1),(398,1),(458,1)}
       423:{2,4,6}:{(381,1),(382,1),(384,1),(459,1),(461,1),(463,1)}
       424:{3,5,7}:{(382,1),(383,1),(399,1),(461,1),(462,1),(515,1)}
       425:{3,5,6}:{(384,1),(385,1),(461,1),(463,1),(515,1)}
       426:{4,7}:{(385,1),(463,1)}
       427:{4,7}:{(386,1),(387,1)}
       428:{3,4,6}:{(387,1),(388,1),(390,1),(464,1),(465,1)}
       429:{2,4,5}:{(388,1),(391,1),(465,1),(466,1),(473,1)}
       430:{3,5,7}:{(389,1),(390,1),(440,1),(451,1),(464,1)}
       431:{2,3,5,6}:{(390,1),(391,1),(394,1),(441,1),(452,1),(465,1),(467,1),(468,1),(505,1)}
       432:{1,3,5}:{(391,1),(392,1),(395,1),(466,1),(469,1),(518,1),(541,1),(550,1)}
       433:{2,4,6}:{(392,1),(443,1),(454,1),(469,1),(470,1),(503,1),(510,1),(520,1)}
       434:{2,5,7}:{(393,1),(394,1),(444,1),(455,1),(471,1)}
       435:{1,5,6}:{(394,1),(395,1),(445,1),(456,1),(471,1)}
       436:{1,2,5}:{(395,1),(396,1),(397,1),(469,1),(472,1),(541,1)}
       437:{1,3,6}:{(396,1),(398,1),(446,1),(458,1),(470,1),(472,1)}
       438:{2,3,5}:{(397,1),(398,1),(399,1),(472,1),(473,1)}
       439:{3,4}:{(399,1),(473,1)}
       440:{3,7}:{(400,1),(401,1)}
       441:{2,3,6}:{(401,1),(402,1),(405,1),(474,1),(475,1),(533,1)}
       442:{1,3,5}:{(402,1),(403,1),(406,1),(475,1),(476,1)}
       443:{2,4}:{(403,1),(476,1),(477,1)}
       444:{2,4,7}:{(404,1),(405,1),(434,1),(474,1),(478,1),(521,1)}
       445:{1,4,6}:{(405,1),(406,1),(435,1),(475,1),(478,1)}
       446:{1,3}:{(407,1),(408,1),(477,1)}
       447:{4,5,6}:{(410,1),(479,1),(480,1),(494,1)}
       448:{4,6,7}:{(409,1),(410,1),(427,1),(479,1)}
       449:{3,4,6}:{(410,1),(411,1),(413,1),(480,1),(482,1)}
       450:{2,4,5,7}:{(411,1),(414,1),(429,1),(482,1),(483,1),(492,1),(495,1),(522,1),(531,1)}
       451:{3,6,7}:{(412,1),(413,1),(430,1)}
       452:{2,3,6}:{(413,1),(414,1),(417,1),(482,1),(485,1)}
       453:{1,3,5,7}:{(414,1),(415,1),(418,1),(432,1),(483,1),(485,1),(486,1),(526,1)}
       454:{2,4,7}:{(415,1),(433,1),(486,1),(487,1),(521,1)}
       455:{2,6,7}:{(416,1),(417,1),(434,1),(488,1)}
       456:{1,6}:{(417,1),(418,1)}
       457:{1,2,5,7}:{(418,1),(419,1),(421,1),(436,1),(486,1),(489,1),(490,1)}
       458:{1,3,7}:{(419,1),(422,1),(437,1),(487,1)}
       459:{2,6}:{(420,1),(421,1)}
       460:{2,3,5,7}:{(421,1),(422,1),(424,1),(438,1),(490,1),(491,1),(492,1),(531,1)}
       461:{3,6}:{(423,1),(424,1)}
       462:{3,4,7}:{(424,1),(426,1),(439,1),(492,1),(493,1)}
       463:{4,6}:{(425,1),(426,1),(494,1)}
       464:{3,4,7}:{(427,1),(428,1),(430,1),(495,1)}
       465:{2,4,6}:{(428,1),(429,1),(431,1),(495,1),(496,1)}
       466:{1,4,5}:{(429,1),(432,1),(496,1),(497,1),(501,1),(552,1)}
       467:{2,3,5,7}:{(430,1),(431,1),(434,1),(474,1),(484,1),(495,1),(498,1),(522,1)}
       468:{1,3,5,6}:{(431,1),(432,1),(435,1),(475,1),(485,1),(496,1),(498,1),(499,1),(523,1),(533,1),(544,1)}
       469:{2,5}:{(432,1),(433,1)}
       470:{2,3,6}:{(433,1),(437,1),(477,1),(487,1),(500,1),(533,1)}
       471:{1,5,7}:{(434,1),(435,1),(478,1),(488,1)}
       472:{1,3,5}:{(436,1),(437,1),(438,1),(500,1),(501,1)}
       473:{2,4}:{(438,1),(439,1),(501,1)}
       474:{2,3,7}:{(440,1),(441,1),(444,1),(502,1),(542,1)}
       475:{1,3,6}:{(441,1),(442,1),(445,1),(502,1),(503,1)}
       476:{2,5}:{(442,1),(443,1),(503,1)}
       477:{2,3}:{(443,1),(446,1)}
       478:{1,4,7}:{(444,1),(445,1),(471,1),(502,1)}
       479:{4,5,7}:{(447,1),(448,1),(504,1)}
       480:{3,5,6}:{(447,1),(449,1),(504,1),(505,1),(515,1)}
       481:{3,4,6,7}:{(448,1),(449,1),(451,1),(464,1),(504,1),(506,1)}
       482:{2,4,6}:{(449,1),(450,1),(452,1),(505,1),(507,1)}
       483:{1,4,5,7}:{(450,1),(453,1),(466,1),(507,1),(508,1),(513,1),(516,1),(535,1),(541,1)}
       484:{2,3,6,7}:{(451,1),(452,1),(455,1),(467,1),(506,1),(509,1)}
       485:{1,3,6}:{(452,1),(453,1),(456,1),(507,1),(510,1),(538,1)}
       486:{2,5,7}:{(453,1),(454,1),(469,1),(510,1)}
       487:{2,3,7}:{(454,1),(458,1),(470,1),(542,1)}
       488:{1,6,7}:{(455,1),(456,1),(471,1)}
       489:{1,2,6}:{(456,1),(457,1),(459,1),(510,1),(512,1)}
       490:{1,3,5,7}:{(457,1),(458,1),(460,1),(472,1),(511,1),(512,1),(513,1),(541,1)}
       491:{2,3,6}:{(459,1),(460,1),(461,1),(512,1),(514,1)}
       492:{2,4,7}:{(460,1),(462,1),(473,1),(513,1),(514,1)}
       493:{3,4,6}:{(461,1),(462,1),(463,1),(514,1),(515,1)}
       494:{4,5}:{(463,1),(515,1)}
       495:{2,4,7}:{(464,1),(465,1),(467,1),(516,1)}
       496:{1,4,6}:{(465,1),(466,1),(468,1),(516,1),(517,1),(549,1)}
       497:{2,4,5}:{(466,1),(469,1),(517,1),(518,1),(520,1)}
       498:{1,3,5,7}:{(467,1),(468,1),(471,1),(502,1),(509,1),(516,1),(519,1),(535,1),(542,1),(548,1)}
       499:{2,5,6}:{(468,1),(469,1),(503,1),(510,1),(517,1),(519,1)}
       500:{2,3,5}:{(469,1),(470,1),(472,1),(518,1),(520,1)}
       501:{1,4}:{(472,1),(473,1),(520,1)}
       502:{1,3,7}:{(474,1),(475,1),(478,1),(521,1)}
       503:{2,6}:{(475,1),(476,1),(521,1)}
       504:{3,5,7}:{(479,1),(480,1),(481,1),(522,1)}
       505:{2,5,6}:{(480,1),(482,1),(522,1),(523,1),(531,1)}
       506:{2,4,6,7}:{(481,1),(482,1),(484,1),(495,1),(522,1),(524,1)}
       507:{1,4,6}:{(482,1),(483,1),(485,1),(523,1),(525,1)}
       508:{2,4,5,7}:{(483,1),(486,1),(497,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       509:{1,3,6,7}:{(484,1),(485,1),(488,1),(498,1),(524,1),(527,1),(545,1)}
       510:{2,6}:{(485,1),(486,1)}
       511:{2,3,5,7}:{(486,1),(487,1),(490,1),(500,1),(526,1),(528,1),(529,1),(547,1)}
       512:{1,3,6}:{(489,1),(490,1),(491,1),(528,1),(530,1)}
       513:{1,4,7}:{(490,1),(492,1),(501,1),(529,1),(530,1)}
       514:{2,4,6}:{(491,1),(492,1),(493,1),(530,1),(531,1)}
       515:{3,5}:{(493,1),(494,1),(531,1)}
       516:{1,4,7}:{(495,1),(496,1),(498,1),(532,1),(551,1)}
       517:{2,4,6}:{(496,1),(497,1),(499,1),(532,1),(533,1)}
       518:{3,5}:{(497,1),(533,1),(534,1)}
       519:{2,5,7}:{(498,1),(499,1),(521,1),(527,1),(532,1)}
       520:{2,4}:{(500,1),(501,1),(534,1)}
       521:{2,7}:{(502,1),(503,1)}
       522:{2,5,7}:{(504,1),(505,1),(506,1),(535,1)}
       523:{1,5,6}:{(505,1),(507,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(506,1),(507,1),(509,1),(516,1),(535,1),(537,1)}
       525:{2,4,6}:{(507,1),(508,1),(510,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(508,1),(518,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(509,1),(510,1),(519,1)}
       528:{2,3,6}:{(510,1),(511,1),(512,1),(538,1),(540,1)}
       529:{2,4,7}:{(511,1),(513,1),(520,1),(539,1),(540,1)}
       530:{1,4,6}:{(512,1),(513,1),(514,1),(540,1),(541,1)}
       531:{2,5}:{(514,1),(515,1),(541,1)}
       532:{2,4,7}:{(516,1),(517,1),(519,1),(542,1)}
       533:{3,6}:{(517,1),(518,1),(542,1)}
       534:{3,4}:{(518,1),(520,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 497 :  0:{4,5}:{(3,1),(4,1)}
        1:{3,4}:{(3,1),(5,1)}
        2:{2,3}:{(5,1),(6,1)}
        3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
        4:{4,6}:{(0,1),(8,1),(9,1),(10,1)}
        5:{2,4}:{(1,1),(2,1),(7,1),(11,1)}
        6:{1,3}:{(2,1),(11,1),(12,1),(22,1)}
        7:{2,5}:{(3,1),(5,1),(13,1),(14,1)}
        8:{3,6}:{(3,1),(4,1),(14,1),(15,1)}
        9:{5,6}:{(4,1),(16,1)}
       10:{4,7}:{(4,1),(15,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(13,1),(17,1)}
       12:{2}:{(6,1)}
       13:{1,5}:{(7,1),(11,1),(18,1),(19,1)}
       14:{2,6}:{(7,1),(8,1),(19,1),(20,1)}
       15:{3,7}:{(8,1),(10,1),(20,1)}
       16:{5,7}:{(9,1),(10,1),(21,1)}
       17:{2,4}:{(11,1),(12,1),(18,1),(22,1),(26,1)}
       18:{2,5}:{(13,1),(17,1),(23,1),(24,1)}
       19:{1,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,7}:{(14,1),(15,1),(25,1)}
       21:{6,7}:{(16,1)}
       22:{3}:{(17,1)}
       23:{3,5}:{(18,1),(22,1),(26,1),(27,1),(31,1)}
       24:{2,6}:{(18,1),(19,1),(27,1),(28,1)}
       25:{1,7}:{(19,1),(20,1),(28,1)}
       26:{4}:{(23,1)}
       27:{3,6}:{(23,1),(24,1),(29,1),(30,1)}
       28:{2,7}:{(24,1),(25,1),(30,1)}
       29:{4,6}:{(26,1),(27,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(27,1),(28,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 498 :   0:{2,4,5,7}:{(2,1),(4,1),(5,1),(7,1),(24,1),(29,1),(34,1),(68,1),(71,1),(72,1),(92,1),(101,1),(119,1),(132,1)}
         1:{2,4,6,7}:{(3,1),(5,1),(6,1),(7,1),(27,1),(34,1),(68,1)}
         2:{1,4,5,7}:{(0,1),(8,1),(10,1),(11,1),(13,1),(42,1),(47,1),(48,1),(74,1),(84,1),(87,1),(91,1),(109,1),(113,1)}
         3:{1,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(13,1),(45,1),(47,1),(87,1)}
         4:{3,5,7}:{(0,1),(14,1),(16,1),(50,1),(88,1),(107,1),(114,1),(127,1)}
         5:{2,4,6}:{(0,1),(11,1),(16,1),(17,1),(43,1),(53,1)}
         6:{3,6,7}:{(1,1),(16,1),(18,1),(88,1)}
         7:{2,5,7}:{(1,1),(13,1),(17,1),(18,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(20,1),(22,1),(24,1),(54,1),(59,1),(68,1),(69,1),(94,1),(95,1),(101,1),(106,1),(126,1)}
         9:{2,4,6,7}:{(3,1),(20,1),(21,1),(22,1),(27,1),(59,1),(68,1)}
        10:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(25,1),(63,1),(104,1),(123,1)}
        11:{1,4,6}:{(2,1),(5,1),(20,1),(25,1),(26,1),(64,1)}
        12:{1,3,6,7}:{(3,1),(6,1),(21,1),(25,1),(27,1),(28,1),(104,1)}
        13:{1,5,7}:{(3,1),(7,1),(22,1),(26,1)}
        14:{3,4,7}:{(4,1),(29,1),(30,1),(34,1),(122,1),(132,1)}
        15:{2,3,5,7}:{(4,1),(24,1),(29,1),(31,1),(32,1),(60,1),(71,1),(99,1)}
        16:{3,6}:{(4,1),(5,1)}
        17:{2,5,6}:{(5,1),(7,1),(26,1),(33,1),(71,1),(119,1)}
        18:{3,5,7}:{(6,1),(7,1),(33,1),(34,1)}
        19:{3,5,7}:{(8,1),(35,1),(37,1),(76,1),(88,1),(89,1),(114,1),(117,1)}
        20:{2,4,6}:{(8,1),(11,1),(37,1),(38,1),(43,1),(79,1)}
        21:{3,6,7}:{(9,1),(37,1),(39,1),(88,1)}
        22:{2,5,7}:{(9,1),(13,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(10,1),(14,1),(35,1),(40,1),(41,1),(47,1),(48,1),(74,1),(80,1),(88,1),(89,1),(107,1),(129,1)}
        24:{2,5,7}:{(10,1),(40,1),(42,1),(43,1),(83,1),(116,1),(130,1)}
        25:{1,3,6}:{(10,1),(11,1),(16,1),(37,1),(43,1)}
        26:{1,5,6}:{(11,1),(13,1),(17,1),(38,1),(91,1),(109,1)}
        27:{2,6,7}:{(12,1),(43,1),(45,1),(46,1),(116,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(18,1),(39,1),(44,1),(46,1),(47,1),(88,1)}
        29:{2,4,7}:{(14,1),(15,1),(48,1),(49,1),(112,1)}
        30:{3,4,6}:{(14,1),(16,1),(49,1),(50,1),(53,1)}
        31:{1,3,5,7}:{(15,1),(42,1),(48,1),(51,1),(52,1),(80,1),(89,1),(91,1),(111,1),(117,1)}
        32:{2,3,6}:{(15,1),(16,1),(43,1),(49,1),(52,1)}
        33:{3,5,6}:{(16,1),(17,1),(18,1),(50,1),(53,1),(127,1)}
        34:{4,7}:{(18,1),(53,1)}
        35:{3,4,7}:{(19,1),(54,1),(55,1),(59,1),(122,1),(126,1)}
        36:{2,3,5,7}:{(19,1),(24,1),(54,1),(56,1),(57,1),(60,1),(94,1),(99,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{2,5,6}:{(20,1),(22,1),(26,1),(58,1),(94,1),(106,1)}
        39:{3,5,7}:{(21,1),(22,1),(58,1),(59,1)}
        40:{2,4,7}:{(23,1),(24,1),(60,1),(61,1),(62,1),(97,1),(134,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(30,1),(55,1),(62,1),(63,1),(66,1),(70,1),(93,1),(98,1),(103,1),(105,1),(118,1),(121,1),(122,1),(126,1),(132,1),(133,1)}
        42:{1,5,7}:{(24,1),(61,1),(64,1),(100,1),(125,1),(135,1)}
        43:{2,6}:{(24,1),(25,1),(64,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(28,1),(33,1),(58,1),(63,1),(65,1),(66,1),(103,1)}
        45:{1,6,7}:{(27,1),(64,1),(67,1),(125,1)}
        46:{2,5,7}:{(27,1),(28,1),(65,1),(67,1),(68,1)}
        47:{1,4,7}:{(28,1),(34,1),(59,1),(66,1),(68,1),(125,1)}
        48:{1,4,7}:{(29,1),(31,1),(69,1),(70,1),(121,1),(126,1)}
        49:{2,4,6}:{(29,1),(30,1),(32,1),(70,1),(71,1)}
        50:{3,5}:{(30,1),(71,1),(72,1)}
        51:{2,5,7}:{(31,1),(69,1),(73,1),(97,1),(106,1),(120,1)}
        52:{1,3,6}:{(31,1),(32,1),(64,1),(70,1),(73,1),(105,1)}
        53:{4,6}:{(33,1),(34,1),(72,1),(132,1)}
        54:{2,4,7}:{(35,1),(36,1),(74,1),(75,1),(112,1)}
        55:{3,4,6}:{(35,1),(37,1),(75,1),(76,1),(79,1)}
        56:{1,3,5,7}:{(36,1),(42,1),(74,1),(77,1),(78,1),(80,1),(107,1),(109,1),(111,1),(127,1)}
        57:{2,3,6}:{(36,1),(37,1),(43,1),(75,1),(78,1)}
        58:{3,5,6}:{(37,1),(38,1),(39,1),(76,1),(79,1),(117,1)}
        59:{4,7}:{(39,1),(79,1)}
        60:{2,3,7}:{(40,1),(80,1),(81,1),(88,1),(89,1),(107,1),(116,1),(136,1)}
        61:{1,4,7}:{(40,1),(42,1),(80,1),(82,1),(137,1)}
        62:{2,4,6}:{(40,1),(41,1),(43,1),(81,1),(82,1),(83,1),(110,1),(112,1),(128,1)}
        63:{1,3,5}:{(41,1),(50,1),(76,1),(83,1),(84,1),(91,1),(109,1),(114,1),(117,1),(127,1)}
        64:{1,6}:{(42,1),(43,1)}
        65:{2,5,6}:{(43,1),(44,1),(46,1),(83,1),(85,1),(86,1)}
        66:{1,4,6}:{(44,1),(47,1),(53,1),(79,1),(84,1),(86,1),(131,1)}
        67:{1,5,7}:{(45,1),(46,1),(85,1),(87,1)}
        68:{2,4,7}:{(46,1),(47,1),(86,1),(87,1),(88,1),(116,1)}
        69:{2,4,7}:{(48,1),(51,1),(89,1),(90,1),(128,1)}
        70:{1,4,6}:{(48,1),(49,1),(52,1),(90,1),(91,1)}
        71:{2,5}:{(49,1),(50,1),(91,1)}
        72:{4,5}:{(50,1),(53,1)}
        73:{2,6}:{(51,1),(52,1)}
        74:{1,4,7}:{(54,1),(56,1),(92,1),(93,1),(121,1),(132,1)}
        75:{2,4,6}:{(54,1),(55,1),(57,1),(93,1),(94,1)}
        76:{3,5}:{(55,1),(94,1),(95,1)}
        77:{2,5,7}:{(56,1),(92,1),(96,1),(97,1),(119,1),(120,1)}
        78:{1,3,6}:{(56,1),(57,1),(64,1),(93,1),(96,1),(118,1)}
        79:{4,6}:{(58,1),(59,1),(95,1),(126,1)}
        80:{1,3,7}:{(60,1),(61,1),(97,1),(98,1),(125,1),(138,1)}
        81:{2,3,6}:{(60,1),(62,1),(98,1),(99,1),(103,1),(105,1),(118,1),(124,1),(133,1)}
        82:{1,4,6}:{(61,1),(62,1),(64,1),(98,1),(100,1),(121,1)}
        83:{2,5}:{(62,1),(63,1),(100,1)}
        84:{1,4,5}:{(63,1),(66,1),(72,1),(95,1),(101,1),(121,1),(126,1),(132,1),(135,1)}
        85:{1,5,6}:{(64,1),(65,1),(67,1),(100,1),(102,1)}
        86:{2,4,6}:{(65,1),(66,1),(68,1),(101,1),(102,1),(103,1),(124,1)}
        87:{1,4,7}:{(67,1),(68,1),(102,1),(104,1)}
        88:{3,7}:{(68,1),(103,1)}
        89:{3,7}:{(69,1),(105,1),(133,1)}
        90:{2,4,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(126,1)}
        91:{1,5}:{(70,1),(71,1),(106,1)}
        92:{2,4,7}:{(74,1),(77,1),(107,1),(108,1),(128,1)}
        93:{1,4,6}:{(74,1),(75,1),(78,1),(108,1),(109,1)}
        94:{2,5}:{(75,1),(76,1),(109,1)}
        95:{4,5}:{(76,1),(79,1)}
        96:{2,6}:{(77,1),(78,1)}
        97:{2,7}:{(80,1),(110,1),(139,1)}
        98:{1,3,6}:{(80,1),(81,1),(82,1),(110,1),(111,1),(131,1)}
        99:{2,3,5}:{(81,1),(83,1),(111,1),(112,1),(114,1),(117,1),(127,1),(130,1),(136,1)}
       100:{1,5}:{(82,1),(83,1)}
       101:{2,4,5}:{(83,1),(84,1),(86,1),(112,1),(113,1),(114,1),(128,1),(130,1)}
       102:{1,4,6}:{(85,1),(86,1),(87,1),(113,1),(115,1)}
       103:{3,6}:{(86,1),(88,1),(114,1)}
       104:{1,3,7}:{(87,1),(88,1),(115,1),(116,1)}
       105:{3,6}:{(89,1),(90,1),(117,1)}
       106:{2,5}:{(90,1),(91,1),(117,1)}
       107:{3,7}:{(92,1),(118,1),(133,1)}
       108:{2,4,6}:{(92,1),(93,1),(96,1),(118,1),(119,1),(132,1)}
       109:{1,5}:{(93,1),(94,1),(119,1)}
       110:{2,6}:{(97,1),(98,1),(120,1)}
       111:{1,3,5}:{(98,1),(99,1),(100,1),(120,1),(121,1),(133,1),(135,1),(138,1)}
       112:{2,4}:{(99,1),(121,1),(122,1),(126,1),(132,1)}
       113:{1,4,5}:{(100,1),(101,1),(102,1),(121,1),(123,1)}
       114:{3,5}:{(101,1),(103,1),(122,1),(133,1)}
       115:{1,3,6}:{(102,1),(103,1),(104,1),(123,1),(124,1)}
       116:{2,7}:{(104,1),(124,1),(125,1)}
       117:{3,5}:{(105,1),(106,1),(126,1)}
       118:{3,6}:{(107,1),(108,1),(127,1)}
       119:{2,5}:{(108,1),(109,1),(127,1)}
       120:{2,5}:{(110,1),(111,1),(128,1),(139,1)}
       121:{1,4}:{(111,1),(112,1),(128,1)}
       122:{3,4}:{(112,1),(114,1)}
       123:{1,3,5}:{(113,1),(114,1),(115,1),(129,1),(130,1)}
       124:{2,6}:{(115,1),(116,1),(130,1),(131,1)}
       125:{1,7}:{(116,1),(131,1)}
       126:{4}:{(117,1)}
       127:{3,5}:{(118,1),(119,1),(132,1)}
       128:{2,4}:{(120,1),(121,1),(133,1)}
       129:{1,3,4}:{(121,1),(122,1),(123,1),(133,1),(134,1),(138,1)}
       130:{2,5}:{(123,1),(124,1),(134,1),(135,1)}
       131:{1,6}:{(124,1),(125,1),(135,1)}
       132:{4}:{(127,1)}
       133:{3}:{(128,1)}
       134:{2,4}:{(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{1,5}:{(130,1),(131,1),(137,1)}
       136:{2,3}:{(133,1),(134,1),(138,1)}
       137:{1,4}:{(134,1),(135,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 499 :   0:{3,4,6,7}:{(1,1),(2,1),(11,1),(29,1),(32,1)}
         1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(18,1),(20,1)}
         2:{3,5,7}:{(0,1),(4,1),(6,1),(7,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(9,1),(32,1),(56,1)}
         4:{3,5,6}:{(2,1),(10,1),(11,1),(32,1),(102,1)}
         5:{1,4,6,7}:{(1,1),(8,1),(12,1),(13,1),(28,1),(31,1)}
         6:{2,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         7:{4,5,7}:{(2,1),(11,1)}
         8:{1,3,6,7}:{(3,1),(5,1),(16,1),(17,1),(21,1),(44,1),(69,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(15,1),(17,1),(18,1),(24,1),(47,1),(64,1)}
        10:{2,5,6}:{(4,1),(6,1),(19,1),(20,1),(99,1)}
        11:{4,6}:{(4,1),(7,1),(104,1)}
        12:{2,4,6,7}:{(5,1),(16,1),(21,1),(22,1),(40,1),(43,1),(45,1)}
        13:{1,5,7}:{(5,1),(6,1),(19,1),(22,1)}
        14:{2,4,5,7}:{(6,1),(7,1),(18,1),(20,1),(23,1),(24,1),(36,1),(47,1),(90,1),(99,1),(104,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(25,1),(26,1),(32,1),(49,1),(56,1),(73,1),(74,1),(102,1)}
        16:{2,6,7}:{(8,1),(27,1),(56,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(13,1),(25,1),(27,1),(28,1),(33,1),(52,1),(59,1),(76,1)}
        18:{2,4,7}:{(9,1),(26,1),(28,1),(29,1)}
        19:{1,5,6}:{(10,1),(13,1),(30,1),(31,1),(94,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(31,1),(32,1),(56,1)}
        21:{3,6,7}:{(12,1),(33,1),(52,1),(55,1)}
        22:{2,5,7}:{(12,1),(13,1),(30,1),(33,1)}
        23:{1,4,5,7}:{(13,1),(14,1),(28,1),(31,1),(34,1),(35,1),(48,1),(59,1),(80,1),(94,1)}
        24:{3,5,7}:{(14,1),(29,1),(32,1),(49,1),(96,1),(102,1)}
        25:{1,3,5,6}:{(15,1),(17,1),(19,1),(37,1),(38,1),(42,1),(44,1),(61,1),(62,1),(69,1),(84,1),(85,1)}
        26:{2,4,6}:{(15,1),(18,1),(36,1),(38,1),(39,1),(104,1)}
        27:{2,5,7}:{(16,1),(17,1),(37,1),(40,1),(86,1)}
        28:{1,4,7}:{(17,1),(18,1),(38,1),(40,1),(45,1)}
        29:{3,4,7}:{(18,1),(24,1),(39,1),(104,1)}
        30:{2,5,6}:{(19,1),(22,1),(42,1),(43,1),(87,1)}
        31:{1,4,6}:{(19,1),(20,1),(23,1),(43,1),(44,1),(69,1)}
        32:{3,6}:{(20,1),(24,1)}
        33:{3,5,7}:{(21,1),(22,1),(42,1),(45,1)}
        34:{2,4,5,7}:{(22,1),(23,1),(40,1),(43,1),(45,1),(46,1),(47,1),(60,1),(66,1),(70,1),(87,1)}
        35:{1,3,5,7}:{(23,1),(24,1),(41,1),(44,1),(46,1),(47,1),(61,1)}
        36:{2,4,5}:{(26,1),(48,1),(49,1),(73,1),(101,1)}
        37:{2,5,6}:{(25,1),(27,1),(50,1),(56,1),(73,1),(93,1)}
        38:{1,4,6}:{(25,1),(26,1),(28,1),(48,1),(50,1),(54,1)}
        39:{3,4,6}:{(26,1),(29,1),(32,1),(49,1)}
        40:{2,4,7}:{(27,1),(28,1),(50,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(35,1),(51,1),(52,1),(53,1),(57,1),(76,1),(80,1),(96,1)}
        42:{3,5,6}:{(30,1),(33,1),(54,1),(55,1),(77,1)}
        43:{2,4,6}:{(30,1),(31,1),(34,1),(54,1),(55,1),(56,1)}
        44:{1,3,6}:{(31,1),(32,1),(35,1),(55,1),(56,1)}
        45:{4,7}:{(33,1),(54,1)}
        46:{3,5,7}:{(34,1),(52,1),(55,1),(57,1),(72,1),(77,1)}
        47:{2,5,7}:{(35,1),(53,1),(56,1),(59,1),(73,1)}
        48:{1,4,5}:{(36,1),(38,1),(60,1),(61,1),(66,1),(84,1),(97,1),(104,1)}
        49:{3,5}:{(36,1),(39,1),(103,1)}
        50:{2,4,6}:{(37,1),(38,1),(40,1),(60,1),(62,1)}
        51:{1,3,4,6}:{(38,1),(39,1),(41,1),(44,1),(61,1),(62,1),(63,1),(67,1),(82,1),(85,1),(88,1),(97,1),(100,1),(103,1),(104,1)}
        52:{3,7}:{(40,1),(62,1)}
        53:{2,4,7}:{(41,1),(47,1),(63,1),(64,1),(65,1),(86,1)}
        54:{4,6}:{(42,1),(45,1),(66,1)}
        55:{3,6}:{(43,1),(46,1)}
        56:{2,6}:{(44,1),(47,1),(69,1)}
        57:{3,4,7}:{(45,1),(46,1),(67,1),(70,1),(82,1)}
        58:{2,3,5,7}:{(46,1),(47,1),(64,1),(68,1),(70,1),(71,1),(83,1),(87,1)}
        59:{1,5,7}:{(47,1),(65,1),(69,1),(84,1)}
        60:{2,4,5}:{(48,1),(50,1),(72,1),(73,1),(91,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(73,1),(77,1),(94,1),(102,1)}
        62:{3,6}:{(50,1),(52,1),(72,1)}
        63:{2,4,6}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(91,1),(93,1),(101,1)}
        64:{2,3,7}:{(52,1),(53,1),(74,1),(76,1),(96,1)}
        65:{1,4,7}:{(53,1),(59,1),(75,1),(76,1)}
        66:{4,5}:{(54,1),(77,1)}
        67:{3,4,6}:{(54,1),(55,1),(57,1),(77,1),(78,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1)}
        69:{1,6}:{(56,1),(59,1)}
        70:{2,4,7}:{(57,1),(58,1),(78,1),(80,1),(91,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(76,1),(79,1),(80,1),(81,1),(92,1),(94,1),(96,1),(102,1)}
        72:{3,5}:{(60,1),(62,1),(82,1)}
        73:{2,5}:{(61,1),(63,1),(84,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1),(100,1),(103,1)}
        75:{1,4,6}:{(63,1),(65,1),(69,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(64,1),(65,1),(85,1),(86,1)}
        77:{3,5}:{(66,1),(67,1),(87,1)}
        78:{2,4,6}:{(67,1),(68,1),(70,1),(87,1),(88,1)}
        79:{1,3,6}:{(68,1),(69,1),(71,1),(88,1),(89,1),(100,1)}
        80:{1,4,7}:{(70,1),(71,1),(88,1),(90,1),(97,1),(104,1)}
        81:{2,5,7}:{(71,1),(86,1),(89,1),(90,1),(98,1),(99,1)}
        82:{3,4}:{(72,1),(91,1)}
        83:{2,3,5}:{(72,1),(73,1),(74,1),(91,1),(92,1),(102,1)}
        84:{1,5}:{(73,1),(75,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(92,1),(93,1)}
        86:{2,7}:{(76,1),(93,1)}
        87:{2,5}:{(77,1),(78,1),(94,1)}
        88:{1,4,6}:{(78,1),(79,1),(80,1),(94,1),(95,1)}
        89:{2,6}:{(79,1),(81,1)}
        90:{2,4,7}:{(80,1),(81,1),(95,1),(96,1),(101,1)}
        91:{2,4}:{(82,1),(83,1),(97,1),(104,1)}
        92:{1,3,5}:{(83,1),(84,1),(85,1),(97,1),(98,1),(103,1)}
        93:{2,6}:{(85,1),(86,1),(98,1)}
        94:{1,5}:{(87,1),(88,1),(99,1)}
        95:{2,4,6}:{(88,1),(89,1),(90,1),(99,1),(100,1),(104,1)}
        96:{3,7}:{(90,1),(100,1),(103,1)}
        97:{1,4}:{(91,1),(92,1),(101,1)}
        98:{2,5}:{(92,1),(93,1),(101,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{2,4}:{(97,1),(98,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{3}:{(101,1)}
       104:{4}:{(102,1)}

 500 :   0:{3,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(259,1),(362,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(28,1),(208,1),(317,1)}
         2:{4,6,7}:{(0,1),(6,1),(311,1),(409,1)}
         3:{3,4,5,7}:{(9,1),(10,1),(15,1),(43,1),(71,1),(237,1),(340,1),(361,1),(365,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(12,1),(46,1),(161,1),(269,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(42,1),(366,1)}
         6:{4,5,7}:{(2,1),(8,1),(15,1)}
         7:{3,4,6,7}:{(2,1),(9,1),(14,1),(15,1),(16,1),(43,1)}
         8:{4,5,6}:{(6,1),(19,1),(389,1),(409,1)}
         9:{3,4,6}:{(3,1),(19,1),(20,1),(409,1),(414,1)}
        10:{2,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(28,1),(66,1),(102,1),(191,1),(294,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(69,1),(121,1),(220,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(23,1),(24,1),(25,1),(65,1),(321,1)}
        13:{2,4,5,7}:{(5,1),(6,1),(17,1),(24,1),(26,1),(28,1),(64,1),(66,1),(208,1),(211,1),(311,1)}
        14:{3,6,7}:{(5,1),(26,1),(414,1)}
        15:{3,5,7}:{(6,1),(7,1),(19,1),(28,1)}
        16:{2,4,6,7}:{(7,1),(20,1),(27,1),(28,1),(29,1),(66,1)}
        17:{2,4,5,6}:{(8,1),(13,1),(31,1),(32,1),(35,1),(77,1),(79,1),(239,1),(256,1),(345,1),(357,1),(366,1)}
        18:{2,3,5,7}:{(10,1),(30,1),(33,1),(34,1),(72,1),(365,1),(369,1)}
        19:{3,5,6}:{(8,1),(9,1),(15,1),(35,1),(340,1)}
        20:{2,4,6}:{(9,1),(10,1),(33,1),(35,1),(36,1)}
        21:{1,4,5,7}:{(10,1),(34,1),(36,1),(37,1),(46,1),(95,1),(138,1),(150,1),(246,1)}
        22:{3,5,6,7}:{(11,1),(38,1),(40,1),(87,1),(98,1),(175,1)}
        23:{2,4,6,7}:{(11,1),(12,1),(38,1),(39,1),(40,1),(42,1),(271,1)}
        24:{1,4,5,7}:{(12,1),(13,1),(31,1),(39,1),(41,1),(46,1),(93,1),(95,1),(161,1),(164,1)}
        25:{1,3,6,7}:{(12,1),(14,1),(40,1),(41,1),(42,1),(370,1)}
        26:{3,5,7}:{(13,1),(14,1),(32,1),(43,1),(262,1)}
        27:{2,3,6,7}:{(14,1),(16,1),(33,1),(42,1),(44,1),(45,1)}
        28:{2,5,7}:{(15,1),(16,1),(35,1),(46,1)}
        29:{1,4,6,7}:{(16,1),(36,1),(45,1),(46,1),(47,1),(95,1)}
        30:{2,3,4,7}:{(18,1),(48,1),(49,1),(66,1),(126,1),(176,1),(191,1),(315,1),(319,1)}
        31:{1,4,5,6}:{(17,1),(24,1),(50,1),(51,1),(56,1),(109,1),(112,1),(188,1),(205,1),(299,1),(321,1)}
        32:{3,5,6}:{(17,1),(26,1),(52,1),(292,1),(394,1),(414,1)}
        33:{2,3,6}:{(18,1),(20,1),(54,1),(414,1),(417,1)}
        34:{1,3,5,7}:{(18,1),(21,1),(49,1),(54,1),(55,1),(58,1),(103,1),(416,1)}
        35:{2,5,6}:{(19,1),(20,1),(28,1),(56,1),(294,1)}
        36:{1,4,6}:{(20,1),(21,1),(54,1),(56,1),(57,1)}
        37:{2,4,5,7}:{(21,1),(55,1),(57,1),(58,1),(69,1),(115,1),(130,1),(133,1),(182,1),(199,1),(201,1)}
        38:{4,6,7}:{(22,1),(59,1),(133,1),(221,1)}
        39:{2,4,5,7}:{(23,1),(24,1),(50,1),(59,1),(61,1),(64,1),(69,1),(121,1),(123,1),(130,1),(133,1)}
        40:{3,6,7}:{(23,1),(61,1),(323,1)}
        41:{1,3,5,7}:{(24,1),(25,1),(26,1),(51,1),(61,1),(63,1),(64,1)}
        42:{2,6,7}:{(25,1),(64,1),(65,1),(417,1)}
        43:{3,4,7}:{(26,1),(52,1),(66,1),(311,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(28,1),(53,1),(64,1),(66,1),(67,1),(126,1)}
        45:{1,3,6,7}:{(27,1),(29,1),(54,1),(65,1),(67,1),(68,1),(70,1)}
        46:{1,5,7}:{(28,1),(29,1),(56,1),(69,1)}
        47:{2,4,6,7}:{(29,1),(57,1),(68,1),(69,1),(70,1),(130,1),(133,1)}
        48:{2,3,4,6}:{(30,1),(33,1),(72,1),(73,1),(79,1),(146,1),(223,1),(224,1),(241,1),(326,1),(344,1),(349,1)}
        49:{1,3,4,7}:{(30,1),(34,1),(73,1),(74,1),(85,1),(95,1),(137,1),(150,1),(167,1),(171,1),(368,1)}
        50:{2,4,5,6}:{(31,1),(39,1),(75,1),(77,1),(83,1),(86,1),(143,1),(151,1),(155,1),(159,1),(249,1),(271,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(41,1),(75,1),(76,1),(77,1),(350,1),(370,1)}
        52:{3,4,6}:{(32,1),(43,1),(71,1),(79,1),(357,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(35,1),(44,1),(72,1),(77,1),(79,1),(80,1),(146,1)}
        54:{1,3,6}:{(33,1),(34,1),(36,1),(81,1),(84,1),(455,1)}
        55:{2,5,7}:{(34,1),(74,1),(81,1),(139,1)}
        56:{1,5,6}:{(35,1),(36,1),(46,1),(83,1),(246,1)}
        57:{2,4,6}:{(36,1),(37,1),(81,1),(83,1),(84,1),(155,1)}
        58:{3,5,7}:{(37,1),(84,1),(85,1),(156,1),(171,1),(231,1)}
        59:{4,5,7}:{(38,1),(86,1),(87,1)}
        60:{3,4,6,7}:{(38,1),(40,1),(87,1),(88,1),(89,1),(158,1)}
        61:{3,5,7}:{(39,1),(40,1),(75,1),(89,1),(171,1)}
        62:{2,3,6,7}:{(40,1),(42,1),(88,1),(90,1),(91,1),(254,1)}
        63:{1,3,4,7}:{(41,1),(43,1),(76,1),(89,1),(92,1),(95,1),(164,1),(167,1),(171,1),(262,1)}
        64:{2,5,7}:{(41,1),(42,1),(77,1),(92,1),(93,1)}
        65:{1,6,7}:{(42,1),(93,1),(455,1)}
        66:{2,4,7}:{(43,1),(44,1),(79,1),(95,1)}
        67:{1,3,5,7}:{(44,1),(45,1),(46,1),(80,1),(93,1),(95,1),(96,1),(98,1),(167,1),(171,1)}
        68:{2,6,7}:{(45,1),(81,1),(96,1)}
        69:{2,5,7}:{(46,1),(47,1),(83,1),(98,1)}
        70:{3,6,7}:{(47,1),(84,1),(98,1),(171,1)}
        71:{3,4,5}:{(52,1),(102,1),(375,1),(394,1),(405,1)}
        72:{2,3,5}:{(48,1),(102,1),(103,1),(294,1),(394,1),(398,1)}
        73:{1,3,4,6}:{(48,1),(49,1),(54,1),(103,1),(104,1),(112,1),(117,1),(180,1),(192,1),(195,1),(197,1),(274,1),(280,1),(283,1),(397,1)}
        74:{2,4,7}:{(49,1),(55,1),(104,1),(105,1),(214,1)}
        75:{3,5,6}:{(50,1),(61,1),(106,1),(197,1),(302,1),(323,1)}
        76:{1,3,4,6}:{(51,1),(52,1),(63,1),(100,1),(106,1),(108,1),(112,1),(188,1),(192,1),(197,1),(292,1)}
        77:{2,5,6}:{(51,1),(64,1),(108,1),(109,1),(398,1),(417,1)}
        78:{1,2,5,7}:{(55,1),(101,1),(110,1),(111,1),(179,1),(277,1),(416,1)}
        79:{2,4,6}:{(52,1),(53,1),(66,1),(102,1),(112,1)}
        80:{1,3,5,6}:{(53,1),(54,1),(56,1),(67,1),(103,1),(109,1),(112,1),(113,1),(116,1),(192,1),(197,1)}
        81:{2,6}:{(54,1),(55,1)}
        82:{2,3,5,7}:{(55,1),(58,1),(105,1),(111,1),(114,1),(115,1),(183,1),(199,1)}
        83:{2,5,6}:{(56,1),(57,1),(69,1),(116,1),(199,1)}
        84:{3,6}:{(57,1),(58,1)}
        85:{3,4,7}:{(58,1),(115,1),(117,1),(133,1),(283,1)}
        86:{4,5,6}:{(59,1),(119,1),(221,1),(545,1)}
        87:{3,5,7}:{(59,1),(60,1),(119,1),(121,1)}
        88:{2,4,6,7}:{(60,1),(62,1),(121,1),(122,1),(123,1),(204,1)}
        89:{3,4,7}:{(61,1),(106,1),(123,1),(133,1)}
        90:{2,3,5,7}:{(61,1),(62,1),(64,1),(107,1),(121,1),(123,1),(124,1),(126,1)}
        91:{1,3,6,7}:{(62,1),(65,1),(122,1),(124,1),(125,1),(209,1),(306,1)}
        92:{2,4,7}:{(63,1),(64,1),(108,1),(126,1),(127,1),(214,1)}
        93:{1,5,7}:{(64,1),(65,1),(109,1),(127,1)}
        94:{1,2,6,7}:{(65,1),(68,1),(110,1),(125,1),(128,1),(129,1),(378,1),(402,1),(417,1),(488,1),(530,1)}
        95:{1,4,7}:{(66,1),(67,1),(112,1),(130,1),(133,1)}
        96:{2,5,7}:{(67,1),(68,1),(113,1),(130,1),(214,1)}
        97:{2,3,6,7}:{(68,1),(70,1),(114,1),(129,1),(131,1),(132,1),(323,1),(417,1),(476,1),(530,1),(548,1)}
        98:{3,5,7}:{(69,1),(70,1),(116,1),(133,1)}
        99:{3,4,6,7}:{(70,1),(117,1),(132,1),(133,1),(134,1),(218,1),(221,1),(323,1),(523,1),(548,1),(552,1)}
       100:{1,3,4,5}:{(71,1),(76,1),(135,1),(138,1),(142,1),(226,1),(231,1),(236,1),(331,1),(339,1),(350,1)}
       101:{1,2,4,7}:{(74,1),(78,1),(136,1),(137,1),(150,1),(225,1),(265,1),(368,1)}
       102:{2,4,5}:{(71,1),(72,1),(79,1),(138,1),(326,1)}
       103:{1,3,5}:{(72,1),(73,1),(138,1),(139,1),(156,1),(231,1),(246,1),(439,1)}
       104:{2,4,6}:{(73,1),(74,1),(81,1),(139,1),(140,1),(232,1),(243,1),(325,1)}
       105:{2,3,7}:{(74,1),(137,1),(140,1),(171,1)}
       106:{3,4,6}:{(75,1),(89,1),(142,1),(143,1),(155,1)}
       107:{2,3,5,6}:{(75,1),(77,1),(90,1),(143,1),(144,1),(146,1),(159,1),(235,1),(254,1)}
       108:{2,4,6}:{(76,1),(77,1),(92,1),(135,1),(146,1),(147,1),(243,1)}
       109:{1,5,6}:{(77,1),(93,1),(147,1),(439,1),(455,1)}
       110:{1,2,6}:{(78,1),(81,1),(149,1),(328,1),(455,1)}
       111:{1,3,5,7}:{(78,1),(82,1),(137,1),(145,1),(149,1),(150,1),(228,1),(246,1)}
       112:{1,4,6}:{(79,1),(80,1),(95,1),(138,1),(151,1),(155,1)}
       113:{2,5,6}:{(80,1),(81,1),(96,1),(139,1),(151,1),(243,1)}
       114:{2,3,6}:{(81,1),(82,1),(84,1),(149,1),(153,1)}
       115:{2,4,7}:{(82,1),(85,1),(150,1),(153,1),(232,1)}
       116:{3,5,6}:{(83,1),(84,1),(98,1),(155,1),(156,1)}
       117:{3,4,6}:{(84,1),(85,1),(153,1),(155,1),(156,1)}
       118:{3,4,5,7}:{(85,1),(154,1),(156,1),(157,1),(174,1),(253,1),(270,1),(335,1),(428,1)}
       119:{3,5,6}:{(86,1),(87,1),(158,1),(159,1),(537,1)}
       120:{3,4,5,7}:{(87,1),(89,1),(142,1),(158,1),(160,1),(174,1),(270,1),(507,1),(537,1)}
       121:{2,5,7}:{(87,1),(88,1),(159,1),(161,1)}
       122:{1,4,6,7}:{(88,1),(91,1),(161,1),(162,1),(164,1),(255,1)}
       123:{2,4,7}:{(89,1),(90,1),(143,1),(164,1)}
       124:{1,3,5,7}:{(90,1),(91,1),(93,1),(144,1),(161,1),(164,1),(165,1),(167,1),(259,1),(262,1)}
       125:{2,6,7}:{(91,1),(165,1),(355,1)}
       126:{2,3,7}:{(92,1),(146,1),(167,1),(171,1),(262,1)}
       127:{1,4,7}:{(92,1),(93,1),(147,1),(167,1)}
       128:{1,2,5,7}:{(93,1),(94,1),(96,1),(148,1),(165,1),(168,1),(169,1),(265,1),(369,1),(423,1),(502,1),(536,1)}
       129:{1,3,6,7}:{(94,1),(97,1),(149,1),(166,1),(169,1),(170,1),(370,1),(442,1),(455,1)}
       130:{2,4,7}:{(95,1),(96,1),(151,1),(171,1)}
       131:{2,3,5,7}:{(96,1),(97,1),(98,1),(152,1),(169,1),(171,1),(172,1),(173,1),(266,1),(270,1),(369,1),(536,1),(549,1),(551,1)}
       132:{2,4,6,7}:{(97,1),(99,1),(153,1),(170,1),(172,1),(173,1),(271,1),(503,1)}
       133:{4,7}:{(98,1),(155,1)}
       134:{3,5,7}:{(99,1),(156,1),(173,1),(174,1),(175,1),(537,1)}
       135:{2,4,5}:{(100,1),(108,1),(177,1),(178,1),(278,1),(380,1),(398,1)}
       136:{1,2,4,6}:{(101,1),(104,1),(110,1),(179,1),(180,1),(195,1),(276,1),(280,1),(296,1),(373,1),(397,1)}
       137:{1,3,7}:{(101,1),(105,1),(176,1),(180,1)}
       138:{1,4,5}:{(102,1),(103,1),(112,1),(182,1),(201,1),(280,1)}
       139:{2,5}:{(103,1),(104,1)}
       140:{2,3,6}:{(104,1),(105,1),(180,1),(183,1),(197,1),(374,1)}
       141:{2,3,4,7}:{(105,1),(115,1),(181,1),(184,1),(185,1),(218,1),(319,1),(385,1),(515,1)}
       142:{3,4,5}:{(106,1),(186,1),(201,1),(302,1),(517,1)}
       143:{2,4,6}:{(106,1),(107,1),(123,1),(186,1),(188,1)}
       144:{1,3,5,6}:{(107,1),(109,1),(124,1),(188,1),(189,1),(192,1),(205,1),(287,1),(292,1),(306,1),(308,1)}
       145:{2,3,5,7}:{(111,1),(176,1),(190,1),(191,1),(275,1),(277,1),(290,1),(294,1)}
       146:{2,3,6}:{(108,1),(126,1),(177,1),(192,1),(197,1),(292,1)}
       147:{1,4,6}:{(108,1),(109,1),(127,1),(178,1),(192,1)}
       148:{1,2,5,6}:{(109,1),(110,1),(113,1),(128,1),(179,1),(189,1),(193,1),(194,1),(296,1),(377,1),(386,1),(398,1),(402,1),(417,1),(474,1),(521,1)}
       149:{1,3,6}:{(110,1),(111,1),(114,1),(190,1),(195,1)}
       150:{1,4,7}:{(111,1),(115,1),(191,1),(195,1),(280,1)}
       151:{2,4,6}:{(112,1),(113,1),(130,1),(182,1),(197,1)}
       152:{2,3,5,6}:{(113,1),(114,1),(116,1),(131,1),(183,1),(194,1),(197,1),(198,1),(199,1),(220,1),(297,1),(302,1),(323,1),(398,1),(417,1),(465,1),(476,1),(521,1),(524,1),(543,1),(546,1)}
       153:{2,4,6}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{2,4,5,7}:{(115,1),(118,1),(185,1),(196,1),(199,1),(200,1),(284,1),(304,1),(385,1)}
       155:{4,6}:{(116,1),(133,1),(201,1)}
       156:{3,5}:{(117,1),(199,1),(201,1)}
       157:{3,4,6}:{(118,1),(200,1),(202,1),(221,1),(323,1)}
       158:{3,4,6}:{(119,1),(120,1),(204,1),(221,1),(323,1)}
       159:{2,5,6}:{(119,1),(121,1),(204,1),(205,1),(524,1)}
       160:{2,4,5,7}:{(120,1),(121,1),(123,1),(186,1),(204,1),(206,1),(207,1),(481,1),(524,1)}
       161:{1,5,7}:{(121,1),(122,1),(205,1),(208,1)}
       162:{2,4,6,7}:{(122,1),(125,1),(208,1),(209,1),(211,1),(307,1),(311,1)}
       163:{2,3,4,7}:{(123,1),(126,1),(187,1),(206,1),(210,1),(218,1),(319,1),(411,1),(481,1)}
       164:{1,4,7}:{(123,1),(124,1),(188,1),(211,1),(311,1)}
       165:{2,5,7}:{(124,1),(125,1),(189,1),(211,1),(214,1)}
       166:{2,3,6,7}:{(125,1),(129,1),(190,1),(209,1),(212,1),(213,1),(378,1),(391,1),(403,1),(414,1),(417,1)}
       167:{1,3,7}:{(126,1),(127,1),(192,1),(214,1)}
       168:{1,2,4,7}:{(127,1),(128,1),(130,1),(193,1),(211,1),(214,1),(215,1),(216,1),(319,1),(461,1),(516,1),(542,1),(544,1)}
       169:{1,3,5,7}:{(128,1),(129,1),(131,1),(194,1),(212,1),(215,1),(216,1),(217,1),(318,1),(416,1)}
       170:{1,4,6,7}:{(129,1),(132,1),(195,1),(213,1),(216,1),(217,1),(321,1),(477,1)}
       171:{3,7}:{(130,1),(197,1)}
       172:{2,4,7}:{(131,1),(133,1),(198,1),(216,1),(218,1),(552,1)}
       173:{2,5,7}:{(132,1),(134,1),(199,1),(217,1),(220,1),(524,1)}
       174:{4,5,7}:{(133,1),(134,1),(201,1),(221,1),(545,1),(552,1)}
       175:{3,5,6}:{(134,1),(220,1),(221,1),(323,1)}
       176:{2,3,7}:{(137,1),(224,1),(225,1),(492,1)}
       177:{2,3,5}:{(135,1),(146,1),(223,1),(226,1),(231,1),(339,1)}
       178:{1,4,5}:{(135,1),(147,1),(226,1),(424,1),(439,1)}
       179:{1,2,5}:{(136,1),(139,1),(228,1),(246,1),(327,1),(439,1)}
       180:{1,3,6}:{(136,1),(137,1),(140,1),(224,1),(228,1),(419,1)}
       181:{1,3,4,7}:{(137,1),(141,1),(150,1),(225,1),(229,1),(230,1),(237,1),(368,1),(427,1),(492,1),(532,1)}
       182:{2,4,5}:{(138,1),(139,1),(151,1),(231,1),(232,1)}
       183:{2,3,5}:{(139,1),(140,1),(228,1),(231,1),(232,1)}
       184:{2,3,4,6}:{(140,1),(141,1),(153,1),(229,1),(232,1),(233,1),(234,1),(248,1),(336,1),(349,1),(420,1),(491,1)}
       185:{2,3,5,7}:{(141,1),(154,1),(230,1),(233,1),(234,1),(270,1),(369,1)}
       186:{2,4,5}:{(142,1),(143,1),(235,1),(236,1),(495,1)}
       187:{2,3,4,6}:{(143,1),(146,1),(163,1),(223,1),(235,1),(238,1),(248,1),(254,1),(349,1),(434,1),(495,1),(503,1)}
       188:{1,4,6}:{(143,1),(144,1),(164,1),(236,1),(239,1),(357,1)}
       189:{2,5,6}:{(144,1),(165,1),(239,1),(243,1),(338,1),(355,1)}
       190:{2,3,6}:{(145,1),(149,1),(241,1),(328,1),(341,1)}
       191:{2,4,7}:{(145,1),(150,1),(237,1),(241,1),(326,1)}
       192:{1,3,6}:{(146,1),(147,1),(167,1),(226,1),(243,1)}
       193:{1,2,4,6}:{(147,1),(148,1),(151,1),(168,1),(227,1),(239,1),(243,1),(244,1),(245,1),(349,1),(422,1),(493,1),(531,1),(534,1)}
       194:{1,3,5,6}:{(148,1),(149,1),(152,1),(169,1),(228,1),(240,1),(244,1),(245,1),(246,1),(269,1),(348,1),(350,1),(370,1),(429,1),(439,1),(442,1),(455,1),(504,1)}
       195:{1,4,6}:{(149,1),(150,1),(153,1),(241,1),(246,1)}
       196:{1,4,5,7}:{(150,1),(154,1),(230,1),(242,1),(246,1),(247,1),(332,1),(352,1),(427,1)}
       197:{3,6}:{(151,1),(171,1),(231,1)}
       198:{2,4,6}:{(152,1),(155,1),(172,1),(232,1),(245,1),(248,1),(249,1),(495,1),(550,1)}
       199:{2,5}:{(153,1),(156,1),(246,1)}
       200:{2,4,6}:{(154,1),(157,1),(234,1),(247,1),(250,1)}
       201:{4,5}:{(155,1),(156,1)}
       202:{3,5,6}:{(156,1),(157,1),(250,1),(252,1),(253,1)}
       203:{3,4,6,7}:{(157,1),(251,1),(253,1),(273,1),(372,1),(428,1)}
       204:{2,4,6}:{(158,1),(159,1),(160,1),(254,1),(255,1)}
       205:{1,5,6}:{(159,1),(161,1),(255,1),(256,1),(504,1)}
       206:{2,3,5,7}:{(160,1),(163,1),(235,1),(254,1),(257,1),(270,1),(369,1)}
       207:{1,4,5,7}:{(160,1),(161,1),(164,1),(236,1),(255,1),(257,1),(258,1),(447,1),(504,1)}
       208:{2,5,7}:{(161,1),(162,1),(256,1),(259,1)}
       209:{3,6,7}:{(162,1),(259,1),(262,1),(356,1)}
       210:{1,3,4,7}:{(163,1),(164,1),(167,1),(238,1),(257,1),(261,1),(262,1),(360,1),(363,1),(368,1),(447,1)}
       211:{2,4,7}:{(164,1),(165,1),(239,1),(262,1)}
       212:{2,3,5,7}:{(165,1),(166,1),(169,1),(240,1),(259,1),(262,1),(263,1),(264,1),(266,1),(365,1),(369,1),(423,1),(433,1),(492,1)}
       213:{2,4,6,7}:{(166,1),(170,1),(241,1),(260,1),(263,1),(264,1),(366,1),(443,1)}
       214:{2,7}:{(167,1),(243,1)}
       215:{1,3,7}:{(168,1),(171,1),(244,1),(262,1),(266,1),(492,1),(549,1)}
       216:{1,4,7}:{(169,1),(172,1),(245,1),(263,1)}
       217:{1,5,7}:{(170,1),(173,1),(246,1),(264,1),(269,1),(504,1)}
       218:{3,4,7}:{(171,1),(172,1),(248,1),(270,1),(549,1)}
       219:{2,4,5,7}:{(172,1),(173,1),(174,1),(249,1),(268,1),(270,1),(271,1),(369,1)}
       220:{2,5,6}:{(173,1),(175,1),(269,1),(271,1)}
       221:{4,6}:{(174,1),(175,1)}
       222:{3,5,6,7}:{(175,1),(253,1),(272,1),(273,1),(372,1),(551,1)}
       223:{2,3,4}:{(177,1),(274,1),(283,1),(380,1),(388,1),(457,1)}
       224:{2,3,6}:{(176,1),(180,1),(275,1),(276,1),(457,1),(460,1)}
       225:{2,4,7}:{(176,1),(181,1),(276,1),(277,1),(542,1)}
       226:{1,3,5}:{(177,1),(178,1),(192,1),(274,1),(278,1)}
       227:{1,2,4,5}:{(178,1),(179,1),(182,1),(193,1),(278,1),(279,1),(280,1),(288,1),(299,1),(373,1),(376,1),(380,1),(386,1),(398,1),(462,1),(466,1),(513,1),(518,1)}
       228:{1,3,5}:{(179,1),(180,1),(183,1),(275,1),(280,1)}
       229:{1,3,4,6}:{(180,1),(181,1),(184,1),(195,1),(276,1),(280,1),(281,1),(282,1),(289,1),(375,1),(382,1),(397,1),(458,1),(460,1),(514,1)}
       230:{1,3,5,7}:{(181,1),(185,1),(196,1),(277,1),(281,1),(282,1),(290,1),(416,1)}
       231:{3,5}:{(182,1),(197,1),(283,1)}
       232:{2,4}:{(183,1),(280,1),(283,1)}
       233:{2,3,5}:{(184,1),(199,1),(281,1),(284,1),(302,1),(398,1)}
       234:{2,3,6}:{(185,1),(200,1),(282,1),(323,1),(417,1)}
       235:{2,3,5}:{(186,1),(187,1),(287,1),(302,1),(398,1),(524,1)}
       236:{1,4,5}:{(186,1),(188,1),(287,1),(288,1),(405,1),(466,1)}
       237:{3,4,7}:{(191,1),(289,1),(290,1),(375,1),(469,1)}
       238:{1,3,4,6}:{(187,1),(188,1),(192,1),(210,1),(274,1),(287,1),(291,1),(292,1),(306,1),(388,1),(392,1),(397,1),(404,1),(466,1),(477,1)}
       239:{2,4,6}:{(188,1),(189,1),(211,1),(288,1),(292,1)}
       240:{2,3,5,6}:{(189,1),(190,1),(194,1),(212,1),(275,1),(292,1),(293,1),(294,1),(297,1),(308,1),(317,1),(377,1),(387,1),(390,1),(394,1),(398,1),(403,1),(414,1),(417,1),(460,1),(478,1)}
       241:{2,4,6}:{(190,1),(191,1),(195,1),(289,1),(294,1)}
       242:{2,4,5,7}:{(191,1),(196,1),(277,1),(290,1),(294,1),(295,1),(376,1),(389,1),(396,1),(461,1),(469,1)}
       243:{2,6}:{(192,1),(214,1),(278,1)}
       244:{1,3,6}:{(193,1),(197,1),(215,1),(279,1),(292,1),(297,1),(460,1),(543,1)}
       245:{1,4,6}:{(194,1),(198,1),(216,1),(280,1),(293,1),(299,1),(466,1)}
       246:{1,5}:{(195,1),(199,1),(294,1)}
       247:{1,4,6}:{(196,1),(200,1),(282,1),(295,1),(300,1)}
       248:{3,4,6}:{(197,1),(198,1),(218,1),(283,1),(302,1),(323,1),(517,1),(543,1)}
       249:{2,4,5}:{(198,1),(199,1),(201,1),(299,1),(302,1),(398,1),(524,1),(545,1)}
       250:{2,5,6}:{(199,1),(200,1),(202,1),(300,1),(304,1)}
       251:{2,4,6,7}:{(200,1),(203,1),(286,1),(301,1),(304,1),(385,1)}
       252:{4,5,6}:{(201,1),(202,1),(221,1),(305,1)}
       253:{3,5,7}:{(202,1),(203,1),(304,1),(305,1)}
       254:{2,3,6}:{(204,1),(206,1),(306,1),(323,1),(417,1)}
       255:{1,4,6}:{(204,1),(205,1),(207,1),(306,1),(307,1)}
       256:{2,5,6}:{(205,1),(208,1),(307,1),(308,1),(478,1)}
       257:{1,3,5,7}:{(206,1),(207,1),(210,1),(287,1),(306,1),(309,1),(310,1),(416,1)}
       258:{2,4,5,7}:{(207,1),(208,1),(211,1),(288,1),(307,1),(309,1),(310,1),(311,1),(405,1),(407,1),(478,1)}
       259:{3,5,7}:{(208,1),(209,1),(308,1),(311,1)}
       260:{3,4,6,7}:{(209,1),(213,1),(289,1),(311,1),(312,1),(315,1),(391,1),(404,1),(409,1),(414,1),(469,1)}
       261:{2,4,7}:{(210,1),(214,1),(291,1),(309,1),(314,1)}
       262:{3,7}:{(211,1),(292,1)}
       263:{2,4,7}:{(212,1),(216,1),(293,1),(311,1),(315,1),(469,1)}
       264:{2,5,7}:{(213,1),(217,1),(294,1),(312,1),(317,1),(478,1)}
       265:{1,2,7}:{(214,1),(296,1),(318,1),(542,1)}
       266:{2,3,7}:{(214,1),(215,1),(297,1),(318,1),(319,1),(542,1)}
       267:{1,3,4,7}:{(215,1),(216,1),(218,1),(298,1),(315,1),(319,1),(320,1)}
       268:{1,4,5,7}:{(216,1),(217,1),(219,1),(299,1),(316,1),(320,1),(321,1),(416,1)}
       269:{1,5,6}:{(217,1),(220,1),(317,1),(321,1)}
       270:{3,5,7}:{(218,1),(219,1),(302,1),(323,1)}
       271:{2,4,6}:{(219,1),(220,1),(221,1),(321,1),(323,1),(417,1)}
       272:{2,5,6,7}:{(220,1),(222,1),(304,1),(322,1),(324,1),(547,1)}
       273:{4,6,7}:{(221,1),(222,1),(305,1),(552,1)}
       274:{1,3,4}:{(223,1),(226,1),(325,1),(419,1),(424,1)}
       275:{2,3,5}:{(224,1),(228,1),(326,1),(327,1),(421,1)}
       276:{2,4,6}:{(224,1),(225,1),(229,1),(326,1),(327,1),(328,1),(489,1),(531,1)}
       277:{2,5,7}:{(225,1),(230,1),(327,1),(328,1)}
       278:{2,5}:{(226,1),(243,1),(325,1)}
       279:{1,3,5}:{(227,1),(231,1),(244,1),(330,1),(331,1),(339,1),(419,1),(421,1),(533,1)}
       280:{1,4}:{(228,1),(232,1),(326,1)}
       281:{1,3,5}:{(229,1),(233,1),(246,1),(327,1),(332,1),(340,1),(421,1),(439,1)}
       282:{1,3,6}:{(230,1),(234,1),(247,1),(328,1),(341,1),(455,1)}
       283:{3,4}:{(231,1),(232,1)}
       284:{2,4,5}:{(232,1),(233,1),(332,1),(335,1),(336,1)}
       285:{2,3,5,6}:{(233,1),(234,1),(250,1),(333,1),(336,1),(337,1),(353,1),(440,1),(491,1)}
       286:{2,3,6,7}:{(234,1),(251,1),(334,1),(337,1),(372,1),(456,1)}
       287:{1,3,5}:{(235,1),(236,1),(238,1),(338,1),(339,1),(439,1),(444,1),(504,1)}
       288:{2,4,5}:{(236,1),(239,1),(338,1),(339,1),(430,1)}
       289:{3,4,6}:{(237,1),(241,1),(340,1),(341,1),(432,1)}
       290:{3,5,7}:{(237,1),(242,1),(340,1),(341,1),(421,1),(492,1)}
       291:{2,4,6}:{(238,1),(243,1),(261,1),(325,1),(338,1),(343,1),(355,1),(430,1)}
       292:{3,6}:{(239,1),(262,1),(339,1)}
       293:{2,4,6}:{(240,1),(245,1),(263,1),(326,1),(344,1),(345,1),(357,1),(430,1),(432,1)}
       294:{2,5}:{(241,1),(246,1),(340,1)}
       295:{2,4,6}:{(242,1),(247,1),(328,1),(341,1),(346,1),(432,1)}
       296:{1,2,6}:{(243,1),(265,1),(329,1),(348,1),(531,1)}
       297:{2,3,6}:{(243,1),(244,1),(266,1),(330,1),(348,1),(349,1),(531,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(248,1),(267,1),(331,1),(344,1),(349,1),(350,1),(370,1)}
       299:{1,4,5}:{(245,1),(246,1),(249,1),(345,1),(350,1),(439,1),(504,1)}
       300:{1,5,6}:{(246,1),(247,1),(250,1),(346,1),(352,1)}
       301:{1,4,6,7}:{(247,1),(251,1),(334,1),(347,1),(352,1),(427,1)}
       302:{3,5}:{(248,1),(249,1)}
       303:{2,4,5,6}:{(249,1),(250,1),(252,1),(271,1),(336,1),(351,1),(353,1),(354,1),(440,1),(534,1),(538,1),(550,1)}
       304:{2,5,7}:{(250,1),(251,1),(253,1),(352,1)}
       305:{4,5,7}:{(252,1),(253,1),(273,1)}
       306:{1,3,6}:{(254,1),(255,1),(257,1),(355,1),(356,1),(455,1)}
       307:{2,4,6}:{(255,1),(256,1),(258,1),(355,1),(356,1),(357,1)}
       308:{3,5,6}:{(256,1),(259,1),(356,1),(357,1),(444,1)}
       309:{2,5,7}:{(257,1),(261,1),(338,1),(355,1)}
       310:{3,5,7}:{(258,1),(262,1),(339,1),(356,1),(360,1),(444,1)}
       311:{4,7}:{(259,1),(357,1)}
       312:{3,5,7}:{(260,1),(264,1),(340,1),(361,1),(362,1),(444,1)}
       313:{1,2,4,7}:{(261,1),(265,1),(342,1),(358,1),(363,1),(368,1),(447,1),(451,1)}
       314:{2,3,7}:{(261,1),(262,1),(343,1),(363,1)}
       315:{3,4,7}:{(262,1),(263,1),(344,1),(365,1),(492,1)}
       316:{2,4,5,7}:{(263,1),(264,1),(268,1),(345,1),(361,1),(365,1),(366,1),(369,1)}
       317:{2,5,6}:{(264,1),(269,1),(362,1),(366,1)}
       318:{1,3,7}:{(265,1),(266,1),(348,1),(368,1)}
       319:{2,4,7}:{(266,1),(267,1),(349,1),(368,1),(369,1)}
       320:{1,3,5,7}:{(267,1),(268,1),(270,1),(350,1),(365,1),(369,1),(370,1)}
       321:{1,4,6}:{(268,1),(269,1),(271,1),(366,1),(370,1),(455,1)}
       322:{1,5,6,7}:{(269,1),(272,1),(352,1),(367,1),(371,1),(539,1)}
       323:{3,6}:{(270,1),(271,1)}
       324:{2,4,6,7}:{(271,1),(272,1),(273,1),(354,1),(371,1),(372,1),(456,1)}
       325:{2,4}:{(274,1),(278,1),(374,1)}
       326:{2,4}:{(275,1),(280,1),(375,1)}
       327:{2,5}:{(276,1),(281,1)}
       328:{2,6}:{(277,1),(282,1)}
       329:{1,2,5}:{(278,1),(296,1),(373,1),(379,1),(513,1)}
       330:{2,3,5}:{(278,1),(279,1),(297,1),(374,1),(379,1),(380,1),(398,1),(457,1),(513,1)}
       331:{1,3,4}:{(279,1),(280,1),(283,1),(375,1),(380,1),(388,1),(466,1),(517,1)}
       332:{1,4,5}:{(280,1),(281,1),(284,1),(376,1),(382,1),(389,1)}
       333:{1,3,5,6}:{(281,1),(282,1),(285,1),(300,1),(377,1),(382,1),(383,1),(390,1),(460,1),(474,1),(514,1)}
       334:{1,3,6,7}:{(282,1),(286,1),(301,1),(378,1),(383,1),(391,1),(488,1)}
       335:{3,4,5}:{(283,1),(284,1),(302,1),(384,1),(545,1)}
       336:{2,4,6}:{(284,1),(285,1),(382,1),(384,1),(385,1)}
       337:{2,3,5,7}:{(285,1),(286,1),(304,1),(383,1),(385,1),(401,1),(475,1),(515,1)}
       338:{2,5}:{(287,1),(291,1)}
       339:{3,5}:{(288,1),(292,1),(388,1)}
       340:{3,5}:{(289,1),(294,1),(389,1)}
       341:{3,6}:{(290,1),(295,1)}
       342:{1,2,4,6}:{(291,1),(296,1),(313,1),(373,1),(386,1),(392,1),(397,1),(402,1),(466,1),(470,1),(477,1)}
       343:{2,3,6}:{(291,1),(292,1),(314,1),(374,1),(387,1),(392,1)}
       344:{3,4,6}:{(292,1),(293,1),(315,1),(375,1),(388,1),(394,1),(414,1),(460,1)}
       345:{2,4,5}:{(293,1),(294,1),(299,1),(389,1),(394,1),(398,1),(405,1),(478,1)}
       346:{2,5,6}:{(294,1),(295,1),(300,1),(390,1),(396,1)}
       347:{2,4,6,7}:{(295,1),(301,1),(378,1),(391,1),(396,1),(461,1),(469,1)}
       348:{1,3,6}:{(296,1),(297,1),(318,1),(379,1),(397,1)}
       349:{2,4,6}:{(297,1),(298,1),(319,1),(380,1),(397,1),(398,1),(417,1)}
       350:{1,3,5}:{(298,1),(299,1),(302,1),(394,1),(398,1)}
       351:{1,4,5,6}:{(299,1),(300,1),(303,1),(321,1),(382,1),(395,1),(399,1),(400,1),(474,1),(519,1),(525,1)}
       352:{1,5,7}:{(300,1),(301,1),(304,1),(396,1)}
       353:{3,5,6}:{(302,1),(303,1),(323,1),(384,1),(401,1),(543,1)}
       354:{2,4,5,7}:{(303,1),(304,1),(305,1),(324,1),(385,1),(400,1),(401,1),(475,1),(544,1),(547,1),(552,1)}
       355:{2,6}:{(306,1),(309,1)}
       356:{3,6}:{(307,1),(310,1)}
       357:{4,6}:{(308,1),(311,1),(405,1)}
       358:{1,2,5,7}:{(309,1),(313,1),(386,1),(402,1),(406,1),(416,1),(485,1)}
       359:{2,3,5,7}:{(309,1),(310,1),(314,1),(387,1),(403,1),(406,1),(407,1),(478,1)}
       360:{3,4,7}:{(310,1),(311,1),(388,1),(404,1),(407,1)}
       361:{4,5,7}:{(311,1),(312,1),(389,1),(405,1),(409,1),(469,1)}
       362:{3,5,6}:{(312,1),(317,1),(409,1),(414,1)}
       363:{1,3,7}:{(313,1),(314,1),(392,1),(411,1)}
       364:{2,3,4,7}:{(314,1),(315,1),(319,1),(393,1),(407,1),(412,1),(413,1),(515,1),(520,1)}
       365:{3,5,7}:{(315,1),(316,1),(394,1),(414,1)}
       366:{2,4,6}:{(316,1),(317,1),(321,1),(409,1),(414,1),(417,1)}
       367:{2,5,6,7}:{(317,1),(322,1),(396,1),(410,1),(415,1),(526,1)}
       368:{1,4,7}:{(318,1),(319,1),(397,1),(416,1)}
       369:{2,5,7}:{(319,1),(320,1),(398,1),(416,1),(417,1)}
       370:{1,3,6}:{(320,1),(321,1),(323,1),(414,1),(417,1)}
       371:{1,4,6,7}:{(321,1),(322,1),(324,1),(400,1),(415,1),(418,1),(488,1)}
       372:{3,6,7}:{(323,1),(324,1),(401,1)}
       373:{1,2,4}:{(325,1),(329,1),(419,1),(424,1),(489,1)}
       374:{2,3}:{(325,1),(419,1)}
       375:{3,4}:{(326,1),(421,1)}
       376:{2,4,5}:{(326,1),(327,1),(332,1),(421,1),(422,1)}
       377:{2,5,6}:{(327,1),(328,1),(333,1),(422,1),(423,1),(531,1)}
       378:{2,6,7}:{(328,1),(334,1),(423,1)}
       379:{1,3,5}:{(329,1),(330,1),(348,1),(419,1),(424,1),(439,1)}
       380:{2,4}:{(330,1),(331,1),(424,1)}
       381:{1,3,4,5}:{(331,1),(332,1),(335,1),(350,1),(421,1),(425,1),(426,1),(431,1),(490,1),(496,1),(533,1)}
       382:{1,4,6}:{(332,1),(333,1),(336,1),(422,1),(427,1),(432,1)}
       383:{1,3,5,7}:{(333,1),(334,1),(337,1),(352,1),(423,1),(427,1),(433,1),(492,1),(502,1),(532,1)}
       384:{3,4,6}:{(335,1),(336,1),(353,1),(428,1),(550,1)}
       385:{2,4,7}:{(336,1),(337,1),(427,1),(428,1)}
       386:{1,2,5}:{(338,1),(342,1),(429,1),(439,1),(499,1),(504,1)}
       387:{2,3,5}:{(338,1),(339,1),(343,1),(429,1),(430,1)}
       388:{3,4}:{(339,1),(430,1)}
       389:{4,5}:{(340,1),(432,1)}
       390:{3,5,6}:{(340,1),(341,1),(346,1),(432,1),(433,1)}
       391:{3,6,7}:{(341,1),(347,1),(433,1),(492,1)}
       392:{1,3,6}:{(342,1),(343,1),(363,1),(419,1),(429,1),(434,1)}
       393:{2,3,4,6}:{(343,1),(344,1),(349,1),(364,1),(420,1),(430,1),(435,1),(436,1),(443,1),(453,1),(491,1),(497,1)}
       394:{3,5}:{(344,1),(345,1)}
       395:{2,4,5,6}:{(345,1),(346,1),(351,1),(366,1),(422,1),(432,1),(437,1),(438,1),(440,1),(445,1),(497,1),(505,1)}
       396:{2,5,7}:{(346,1),(347,1),(352,1),(433,1)}
       397:{1,4,6}:{(348,1),(349,1),(368,1),(424,1),(439,1),(455,1)}
       398:{2,5}:{(349,1),(350,1),(439,1)}
       399:{1,3,5,6}:{(350,1),(351,1),(353,1),(370,1),(426,1),(437,1),(440,1),(441,1)}
       400:{1,4,5,7}:{(351,1),(352,1),(354,1),(371,1),(427,1),(438,1),(441,1),(502,1),(535,1),(539,1)}
       401:{3,5,7}:{(353,1),(354,1),(372,1),(428,1),(549,1)}
       402:{1,2,6}:{(355,1),(358,1),(442,1),(455,1),(511,1)}
       403:{2,3,6}:{(355,1),(356,1),(359,1),(442,1),(443,1)}
       404:{3,4,6}:{(356,1),(357,1),(360,1),(443,1),(444,1)}
       405:{4,5}:{(357,1),(444,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(363,1),(429,1),(442,1),(446,1),(447,1),(504,1)}
       407:{2,4,7}:{(359,1),(360,1),(430,1),(443,1),(447,1)}
       408:{3,4,5,7}:{(360,1),(361,1),(365,1),(431,1),(444,1),(448,1),(449,1),(498,1),(506,1)}
       409:{4,6}:{(361,1),(362,1)}
       410:{3,5,6,7}:{(362,1),(367,1),(433,1),(450,1),(454,1),(506,1)}
       411:{2,3,7}:{(363,1),(434,1),(451,1),(549,1)}
       412:{1,3,4,7}:{(363,1),(364,1),(368,1),(435,1),(447,1),(451,1),(452,1),(507,1),(532,1),(535,1),(549,1)}
       413:{2,3,5,7}:{(364,1),(365,1),(369,1),(436,1),(448,1),(452,1),(453,1)}
       414:{3,6}:{(365,1),(366,1)}
       415:{2,4,6,7}:{(366,1),(367,1),(371,1),(438,1),(450,1),(454,1),(456,1)}
       416:{1,5,7}:{(368,1),(369,1),(439,1),(455,1)}
       417:{2,6}:{(369,1),(370,1),(455,1)}
       418:{1,3,6,7}:{(370,1),(371,1),(372,1),(441,1),(454,1),(456,1)}
       419:{1,3}:{(373,1),(374,1),(457,1)}
       420:{2,3,4}:{(374,1),(375,1),(380,1),(458,1),(459,1),(517,1)}
       421:{3,5}:{(375,1),(376,1),(460,1)}
       422:{2,4,6}:{(376,1),(377,1),(382,1),(460,1),(461,1)}
       423:{2,5,7}:{(377,1),(378,1),(383,1),(461,1),(542,1)}
       424:{1,4}:{(379,1),(380,1)}
       425:{2,4,5}:{(380,1),(381,1),(398,1),(459,1),(462,1),(463,1),(513,1)}
       426:{1,3,4,6}:{(381,1),(382,1),(384,1),(399,1),(460,1),(463,1),(464,1),(468,1),(514,1),(519,1),(543,1)}
       427:{1,4,7}:{(382,1),(383,1),(385,1),(461,1),(469,1)}
       428:{3,4,7}:{(384,1),(385,1),(401,1),(552,1)}
       429:{1,3,5}:{(386,1),(387,1),(392,1),(465,1),(466,1)}
       430:{2,4}:{(387,1),(388,1),(466,1)}
       431:{3,4,5}:{(388,1),(389,1),(394,1),(467,1),(468,1)}
       432:{4,6}:{(389,1),(390,1),(469,1)}
       433:{3,5,7}:{(390,1),(391,1),(396,1),(469,1)}
       434:{2,3,6}:{(392,1),(411,1),(457,1),(465,1),(470,1),(543,1)}
       435:{1,3,4,6}:{(392,1),(393,1),(397,1),(412,1),(458,1),(466,1),(470,1),(471,1),(477,1),(486,1),(514,1),(517,1),(519,1),(523,1),(543,1)}
       436:{2,3,5}:{(393,1),(394,1),(398,1),(467,1),(471,1),(478,1)}
       437:{3,5,6}:{(394,1),(395,1),(414,1),(460,1),(468,1),(473,1)}
       438:{2,4,5,7}:{(395,1),(396,1),(400,1),(415,1),(461,1),(469,1),(473,1),(475,1),(480,1),(520,1),(526,1)}
       439:{1,5}:{(397,1),(398,1)}
       440:{2,5,6}:{(398,1),(399,1),(417,1),(463,1),(474,1),(475,1)}
       441:{1,3,5,7}:{(399,1),(400,1),(401,1),(418,1),(464,1),(473,1),(475,1)}
       442:{1,3,6}:{(402,1),(403,1),(406,1),(476,1),(477,1)}
       443:{2,4,6}:{(403,1),(404,1),(407,1),(477,1),(478,1)}
       444:{3,5}:{(404,1),(405,1),(478,1)}
       445:{4,5,6}:{(405,1),(409,1),(479,1),(480,1)}
       446:{2,3,5,7}:{(406,1),(411,1),(465,1),(476,1),(481,1),(485,1),(524,1),(527,1)}
       447:{1,4,7}:{(406,1),(407,1),(466,1),(477,1),(481,1)}
       448:{2,4,5,7}:{(407,1),(408,1),(413,1),(467,1),(478,1),(482,1),(483,1),(520,1),(526,1)}
       449:{3,4,6}:{(408,1),(409,1),(414,1),(479,1),(483,1)}
       450:{4,6,7}:{(409,1),(410,1),(469,1),(480,1)}
       451:{2,4,7}:{(411,1),(412,1),(470,1),(485,1),(542,1)}
       452:{1,3,5,7}:{(412,1),(413,1),(416,1),(471,1),(482,1),(485,1),(486,1),(527,1)}
       453:{2,3,6}:{(413,1),(414,1),(417,1),(483,1),(486,1)}
       454:{3,6,7}:{(414,1),(415,1),(473,1)}
       455:{1,6}:{(416,1),(417,1)}
       456:{2,6,7}:{(417,1),(418,1),(475,1),(488,1)}
       457:{2,3}:{(419,1),(489,1)}
       458:{1,3,4}:{(419,1),(420,1),(424,1),(489,1),(490,1)}
       459:{2,3,5}:{(420,1),(421,1),(425,1),(490,1),(491,1),(533,1)}
       460:{3,6}:{(421,1),(422,1),(492,1)}
       461:{2,4,7}:{(422,1),(423,1),(427,1),(492,1)}
       462:{1,4,5}:{(424,1),(425,1),(439,1),(490,1),(493,1)}
       463:{2,4,6}:{(425,1),(426,1),(440,1),(491,1),(493,1),(494,1),(531,1)}
       464:{1,3,4,7}:{(426,1),(427,1),(428,1),(441,1),(492,1),(494,1),(498,1),(532,1),(535,1),(549,1)}
       465:{2,3,5}:{(429,1),(434,1),(495,1),(499,1),(533,1)}
       466:{1,4}:{(429,1),(430,1),(495,1)}
       467:{2,4,5}:{(430,1),(431,1),(436,1),(496,1),(497,1)}
       468:{3,4,6}:{(431,1),(432,1),(437,1),(497,1),(498,1)}
       469:{4,7}:{(432,1),(433,1)}
       470:{2,4,6}:{(434,1),(435,1),(451,1),(489,1),(495,1),(499,1),(511,1),(531,1)}
       471:{1,3,5}:{(435,1),(436,1),(439,1),(496,1),(499,1),(504,1),(533,1),(537,1)}
       472:{2,3,5,6}:{(436,1),(437,1),(440,1),(453,1),(491,1),(497,1),(500,1),(501,1),(505,1)}
       473:{3,5,7}:{(437,1),(438,1),(454,1),(492,1),(498,1)}
       474:{1,5,6}:{(439,1),(440,1),(455,1),(493,1),(502,1)}
       475:{2,5,7}:{(440,1),(441,1),(456,1),(494,1),(502,1)}
       476:{2,3,6}:{(442,1),(446,1),(503,1),(511,1),(540,1)}
       477:{1,4,6}:{(442,1),(443,1),(447,1),(503,1),(504,1)}
       478:{2,5}:{(443,1),(444,1),(504,1)}
       479:{3,5,6}:{(444,1),(445,1),(449,1),(505,1),(506,1)}
       480:{4,5,7}:{(445,1),(450,1),(506,1)}
       481:{2,4,7}:{(446,1),(447,1),(495,1),(503,1),(507,1)}
       482:{1,4,5,7}:{(447,1),(448,1),(452,1),(496,1),(504,1),(508,1),(509,1),(535,1),(539,1)}
       483:{2,4,6}:{(448,1),(449,1),(453,1),(505,1),(509,1)}
       484:{3,4,6,7}:{(449,1),(450,1),(454,1),(498,1),(506,1),(510,1)}
       485:{2,5,7}:{(451,1),(452,1),(499,1),(511,1)}
       486:{1,3,6}:{(452,1),(453,1),(455,1),(509,1),(511,1),(540,1)}
       487:{2,3,6,7}:{(453,1),(454,1),(456,1),(501,1),(510,1),(512,1)}
       488:{1,6,7}:{(455,1),(456,1),(502,1)}
       489:{2,4}:{(457,1),(458,1),(513,1)}
       490:{1,3,5}:{(458,1),(459,1),(462,1),(513,1),(514,1)}
       491:{2,3,6}:{(459,1),(460,1),(463,1),(514,1),(515,1),(543,1)}
       492:{3,7}:{(460,1),(461,1)}
       493:{1,4,6}:{(462,1),(463,1),(474,1),(514,1),(516,1)}
       494:{2,4,7}:{(463,1),(464,1),(475,1),(515,1),(516,1),(542,1)}
       495:{2,4}:{(465,1),(466,1),(517,1)}
       496:{1,4,5}:{(466,1),(467,1),(471,1),(518,1),(519,1),(545,1)}
       497:{2,4,6}:{(467,1),(468,1),(472,1),(519,1),(520,1)}
       498:{3,4,7}:{(468,1),(469,1),(473,1),(520,1)}
       499:{2,5}:{(470,1),(471,1)}
       500:{1,3,5,6}:{(471,1),(472,1),(474,1),(486,1),(514,1),(519,1),(521,1),(522,1),(525,1),(543,1),(546,1)}
       501:{2,3,5,7}:{(472,1),(473,1),(475,1),(487,1),(515,1),(520,1),(522,1),(526,1)}
       502:{1,5,7}:{(474,1),(475,1),(488,1),(516,1)}
       503:{2,4,6}:{(476,1),(477,1),(481,1),(523,1),(524,1)}
       504:{1,5}:{(477,1),(478,1),(524,1)}
       505:{2,5,6}:{(478,1),(479,1),(483,1),(525,1),(526,1)}
       506:{3,5,7}:{(479,1),(480,1),(484,1),(526,1)}
       507:{3,4,7}:{(481,1),(517,1),(523,1),(527,1),(552,1)}
       508:{2,4,5,7}:{(481,1),(482,1),(485,1),(518,1),(524,1),(527,1),(528,1),(544,1),(545,1),(547,1),(552,1)}
       509:{1,4,6}:{(482,1),(483,1),(486,1),(525,1),(528,1)}
       510:{2,4,6,7}:{(483,1),(484,1),(487,1),(520,1),(526,1),(529,1)}
       511:{2,6}:{(485,1),(486,1)}
       512:{1,3,6,7}:{(486,1),(487,1),(488,1),(522,1),(529,1),(530,1),(548,1)}
       513:{2,5}:{(489,1),(490,1),(531,1)}
       514:{1,3,6}:{(490,1),(491,1),(493,1),(531,1),(532,1)}
       515:{2,3,7}:{(491,1),(492,1),(494,1),(532,1),(549,1)}
       516:{1,4,7}:{(493,1),(494,1),(502,1),(532,1)}
       517:{3,4}:{(495,1),(533,1)}
       518:{2,4,5}:{(495,1),(496,1),(499,1),(533,1),(534,1)}
       519:{1,4,6}:{(496,1),(497,1),(500,1),(534,1),(535,1),(550,1)}
       520:{2,4,7}:{(497,1),(498,1),(501,1),(535,1)}
       521:{2,5,6}:{(499,1),(500,1),(511,1),(531,1),(534,1),(536,1)}
       522:{1,3,5,7}:{(500,1),(501,1),(502,1),(512,1),(532,1),(535,1),(536,1),(539,1),(549,1),(551,1)}
       523:{3,4,6}:{(503,1),(507,1),(537,1),(540,1),(550,1)}
       524:{2,5}:{(503,1),(504,1),(537,1)}
       525:{1,5,6}:{(504,1),(505,1),(509,1),(538,1),(539,1)}
       526:{2,5,7}:{(505,1),(506,1),(510,1),(539,1)}
       527:{3,5,7}:{(507,1),(508,1),(533,1),(537,1),(540,1),(549,1)}
       528:{2,4,6}:{(508,1),(509,1),(511,1),(538,1),(540,1),(550,1)}
       529:{1,4,6,7}:{(509,1),(510,1),(512,1),(535,1),(539,1),(541,1)}
       530:{2,6,7}:{(511,1),(512,1),(536,1)}
       531:{2,6}:{(513,1),(514,1),(542,1)}
       532:{1,3,7}:{(514,1),(515,1),(516,1),(542,1)}
       533:{3,5}:{(517,1),(518,1),(543,1)}
       534:{2,4,6}:{(518,1),(519,1),(521,1),(543,1),(544,1)}
       535:{1,4,7}:{(519,1),(520,1),(522,1),(544,1),(552,1)}
       536:{2,5,7}:{(521,1),(522,1),(530,1),(542,1),(544,1)}
       537:{3,5}:{(523,1),(524,1),(545,1)}
       538:{2,5,6}:{(524,1),(525,1),(528,1),(546,1),(547,1)}
       539:{1,5,7}:{(525,1),(526,1),(529,1),(547,1)}
       540:{3,6}:{(527,1),(528,1)}
       541:{2,4,6,7}:{(528,1),(529,1),(530,1),(544,1),(547,1),(548,1),(552,1)}
       542:{2,7}:{(531,1),(532,1)}
       543:{3,6}:{(533,1),(534,1),(549,1)}
       544:{2,4,7}:{(534,1),(535,1),(536,1),(549,1)}
       545:{4,5}:{(537,1),(550,1)}
       546:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,5,7}:{(538,1),(539,1),(541,1),(551,1)}
       548:{3,6,7}:{(540,1),(541,1),(549,1),(551,1)}
       549:{3,7}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 501 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(15,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(23,1),(34,1)}
         4:{1,3,4}:{(1,1),(7,1),(9,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(36,1),(169,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(28,1)}
         7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(38,1),(45,1)}
         9:{2,3,4}:{(4,1),(14,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(45,1),(55,1),(160,1),(164,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(21,1),(22,1),(173,1)}
        13:{1,3,4,5}:{(7,1),(23,1),(24,1),(34,1),(73,1)}
        14:{2,3,5}:{(7,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1),(28,1)}
        16:{1,2,5,6}:{(8,1),(11,1),(27,1),(29,1),(36,1),(57,1),(169,1)}
        17:{1,2,4,7}:{(8,1),(28,1),(29,1),(58,1),(66,1)}
        18:{1,3,4}:{(9,1),(25,1),(30,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(33,1),(64,1),(75,1),(146,1),(152,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(12,1),(28,1),(33,1),(35,1),(66,1),(170,1)}
        22:{1,2,5,7}:{(11,1),(12,1),(35,1),(36,1)}
        23:{2,4,5}:{(13,1),(14,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(40,1),(45,1),(87,1)}
        25:{1,3,5}:{(14,1),(18,1),(37,1),(41,1),(42,1)}
        26:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(44,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(20,1),(43,1),(45,1),(46,1),(55,1),(100,1),(155,1),(160,1)}
        28:{1,3,7}:{(15,1),(17,1),(44,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(46,1),(47,1),(80,1),(173,1)}
        30:{1,2,4}:{(18,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1),(51,1),(85,1),(97,1),(128,1),(136,1)}
        32:{2,3,5}:{(19,1),(20,1),(50,1),(52,1)}
        33:{2,3,4,7}:{(19,1),(21,1),(44,1),(51,1),(53,1),(88,1),(161,1)}
        34:{1,4,5}:{(20,1),(45,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(54,1),(55,1)}
        36:{1,2,6}:{(22,1),(55,1)}
        37:{1,4,5}:{(23,1),(25,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(24,1),(57,1),(59,1),(60,1),(103,1)}
        40:{1,3,4,7}:{(24,1),(28,1),(58,1),(60,1),(66,1),(112,1)}
        41:{1,2,5}:{(25,1),(30,1),(61,1)}
        42:{1,3,6}:{(25,1),(26,1),(56,1),(61,1),(63,1)}
        43:{2,3,5,6}:{(26,1),(27,1),(32,1),(57,1),(62,1),(64,1),(65,1),(75,1),(103,1),(121,1),(141,1),(146,1)}
        44:{2,3,7}:{(26,1),(28,1),(58,1),(63,1)}
        45:{1,4,6}:{(27,1),(34,1),(64,1),(66,1)}
        46:{1,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(66,1),(67,1),(114,1),(166,1),(170,1)}
        47:{1,2,6,7}:{(29,1),(36,1),(67,1),(105,1)}
        48:{1,2,3}:{(30,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(61,1),(68,1),(69,1),(70,1),(115,1),(117,1)}
        50:{1,3,5}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(63,1),(70,1),(72,1),(110,1),(147,1)}
        52:{2,4,5}:{(32,1),(34,1),(64,1),(71,1),(73,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(75,1)}
        54:{1,4,5,7}:{(34,1),(35,1),(66,1),(74,1),(76,1),(114,1)}
        55:{1,3,6}:{(35,1),(36,1),(75,1),(76,1)}
        56:{1,4,6}:{(37,1),(38,1),(42,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(80,1)}
        58:{2,4,7}:{(38,1),(40,1),(44,1),(78,1),(80,1)}
        59:{1,4,5,6}:{(39,1),(45,1),(79,1),(81,1),(100,1),(155,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(80,1),(81,1),(82,1),(125,1)}
        61:{1,2,6}:{(41,1),(42,1),(84,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(50,1),(77,1),(83,1),(85,1),(86,1),(97,1),(128,1),(139,1)}
        63:{1,3,7}:{(42,1),(44,1),(78,1),(84,1)}
        64:{2,4,6}:{(43,1),(45,1),(52,1),(85,1),(87,1),(88,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(125,1),(135,1),(156,1),(161,1)}
        66:{1,4,7}:{(45,1),(46,1),(88,1)}
        67:{1,3,6,7}:{(46,1),(47,1),(55,1),(89,1),(90,1),(172,1)}
        68:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(128,1)}
        69:{1,2,5}:{(49,1),(50,1)}
        70:{1,2,4,7}:{(49,1),(51,1),(84,1),(92,1),(94,1)}
        71:{1,4,5}:{(50,1),(52,1),(85,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(97,1)}
        73:{3,4,5}:{(52,1),(87,1)}
        74:{2,4,5,7}:{(52,1),(53,1),(54,1),(88,1),(96,1),(98,1),(99,1),(135,1)}
        75:{2,3,6}:{(53,1),(55,1),(97,1),(99,1)}
        76:{1,4,6}:{(54,1),(55,1),(99,1),(100,1)}
        77:{1,5,6}:{(56,1),(57,1),(102,1)}
        78:{1,4,7}:{(56,1),(58,1),(63,1),(102,1)}
        79:{2,4,5,6}:{(57,1),(59,1),(64,1),(101,1),(103,1),(104,1),(121,1),(141,1),(154,1)}
        80:{2,5,7}:{(57,1),(58,1),(60,1),(102,1),(105,1)}
        81:{1,4,5,7}:{(59,1),(60,1),(66,1),(104,1),(106,1),(114,1),(166,1)}
        82:{1,3,6,7}:{(60,1),(105,1),(106,1),(144,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(69,1),(107,1),(108,1),(117,1),(141,1)}
        84:{1,2,7}:{(61,1),(63,1)}
        85:{1,4,6}:{(62,1),(64,1),(71,1),(110,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(65,1),(102,1),(108,1),(110,1),(111,1),(147,1),(150,1)}
        87:{3,4,6}:{(64,1),(73,1),(103,1),(112,1)}
        88:{2,4,7}:{(64,1),(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,6,7}:{(65,1),(67,1),(75,1),(105,1),(111,1),(113,1),(144,1),(167,1)}
        90:{1,4,6,7}:{(66,1),(67,1),(76,1),(113,1),(114,1)}
        91:{1,2,3,5}:{(68,1),(69,1),(115,1),(116,1)}
        92:{1,2,3,7}:{(68,1),(70,1),(147,1)}
        93:{1,2,4,5}:{(69,1),(71,1),(107,1),(115,1),(116,1),(118,1)}
        94:{1,2,5,7}:{(69,1),(70,1),(72,1),(117,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(109,1),(116,1),(118,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(110,1),(119,1),(150,1)}
        97:{1,3,6}:{(72,1),(75,1),(117,1),(119,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(112,1),(120,1),(151,1)}
        99:{2,4,6}:{(74,1),(75,1),(76,1),(119,1),(120,1),(121,1)}
       100:{1,5,6}:{(76,1),(114,1),(121,1)}
       101:{1,4,5,6}:{(77,1),(79,1),(85,1),(122,1),(123,1),(139,1)}
       102:{1,5,7}:{(77,1),(78,1),(80,1),(124,1)}
       103:{3,5,6}:{(79,1),(87,1),(125,1)}
       104:{2,4,5,7}:{(79,1),(80,1),(81,1),(88,1),(123,1),(125,1),(126,1),(135,1),(156,1),(163,1)}
       105:{2,6,7}:{(80,1),(82,1),(124,1)}
       106:{1,4,6,7}:{(81,1),(82,1),(126,1),(127,1),(172,1)}
       107:{1,2,4,6}:{(83,1),(85,1),(93,1),(128,1),(129,1),(131,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(129,1),(130,1),(156,1)}
       109:{1,3,4,6}:{(85,1),(87,1),(95,1),(122,1),(128,1),(131,1),(132,1)}
       110:{1,4,7}:{(85,1),(86,1),(88,1)}
       111:{1,3,6,7}:{(86,1),(89,1),(97,1),(124,1),(130,1),(133,1)}
       112:{3,4,7}:{(87,1),(88,1),(125,1)}
       113:{2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(133,1),(134,1),(135,1)}
       114:{1,5,7}:{(90,1),(100,1),(135,1)}
       115:{1,2,4}:{(91,1),(136,1)}
       116:{1,3,5}:{(93,1),(128,1),(136,1),(137,1)}
       117:{1,2,6}:{(94,1),(97,1)}
       118:{2,4,5}:{(95,1),(131,1),(137,1),(138,1)}
       119:{1,4,6}:{(96,1),(97,1),(99,1),(139,1)}
       120:{3,4,6}:{(98,1),(99,1),(140,1)}
       121:{2,5,6}:{(99,1),(100,1),(135,1),(139,1),(140,1)}
       122:{1,3,5,6}:{(101,1),(103,1),(109,1),(141,1),(142,1)}
       123:{1,4,5,7}:{(101,1),(102,1),(104,1),(110,1),(142,1),(143,1),(150,1)}
       124:{1,6,7}:{(102,1),(105,1)}
       125:{3,5,7}:{(103,1),(104,1),(112,1),(144,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(144,1),(145,1),(167,1),(168,1)}
       127:{1,5,6,7}:{(106,1),(114,1),(145,1)}
       128:{1,3,6}:{(107,1),(116,1),(146,1),(147,1)}
       129:{1,2,4,7}:{(107,1),(108,1),(110,1),(147,1),(149,1)}
       130:{1,2,6,7}:{(108,1),(111,1),(117,1),(167,1)}
       131:{2,4,6}:{(109,1),(118,1),(141,1),(146,1),(148,1),(149,1)}
       132:{1,3,4,7}:{(109,1),(110,1),(112,1),(142,1),(147,1),(149,1)}
       133:{1,4,6,7}:{(110,1),(111,1),(113,1),(119,1),(150,1)}
       134:{3,4,6,7}:{(112,1),(113,1),(120,1),(144,1),(151,1),(168,1)}
       135:{2,5,7}:{(113,1),(114,1),(121,1),(150,1),(151,1)}
       136:{1,3,4}:{(115,1),(116,1),(152,1)}
       137:{2,3,5}:{(116,1),(118,1),(146,1),(152,1),(153,1)}
       138:{1,4,5}:{(118,1),(148,1),(153,1)}
       139:{1,5,6}:{(119,1),(121,1),(150,1)}
       140:{3,5,6}:{(120,1),(121,1),(151,1),(154,1)}
       141:{2,5,6}:{(122,1),(131,1),(155,1),(156,1)}
       142:{1,3,5,7}:{(122,1),(123,1),(125,1),(132,1),(156,1),(157,1)}
       143:{1,4,6,7}:{(123,1),(124,1),(126,1),(157,1),(158,1)}
       144:{3,6,7}:{(125,1),(126,1)}
       145:{2,5,6,7}:{(126,1),(127,1),(135,1),(158,1),(159,1)}
       146:{2,3,6}:{(128,1),(131,1),(137,1),(160,1),(161,1)}
       147:{1,3,7}:{(128,1),(129,1),(161,1)}
       148:{1,4,6}:{(131,1),(138,1),(155,1),(160,1),(162,1)}
       149:{2,4,7}:{(131,1),(132,1),(156,1),(161,1),(162,1)}
       150:{1,5,7}:{(133,1),(135,1),(139,1)}
       151:{3,5,7}:{(134,1),(135,1),(140,1),(163,1)}
       152:{2,3,4}:{(136,1),(137,1),(164,1)}
       153:{1,3,5}:{(137,1),(138,1),(160,1),(164,1),(165,1)}
       154:{4,5,6}:{(140,1),(163,1)}
       155:{1,5,6}:{(141,1),(148,1),(166,1)}
       156:{2,5,7}:{(141,1),(142,1),(149,1),(166,1),(167,1)}
       157:{1,3,6,7}:{(142,1),(143,1),(144,1),(167,1)}
       158:{1,5,6,7}:{(143,1),(145,1),(150,1)}
       159:{3,5,6,7}:{(144,1),(145,1),(151,1),(168,1)}
       160:{1,3,6}:{(146,1),(148,1),(153,1),(169,1),(170,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(170,1)}
       162:{1,4,7}:{(148,1),(149,1),(166,1),(170,1)}
       163:{4,5,7}:{(151,1),(154,1),(168,1)}
       164:{1,3,4}:{(152,1),(153,1),(171,1)}
       165:{1,2,5}:{(153,1),(169,1),(171,1)}
       166:{1,5,7}:{(155,1),(156,1),(162,1),(172,1)}
       167:{2,6,7}:{(156,1),(157,1),(172,1)}
       168:{4,6,7}:{(159,1),(163,1)}
       169:{1,2,6}:{(160,1),(165,1),(173,1)}
       170:{1,3,7}:{(160,1),(161,1),(162,1),(173,1)}
       171:{1,2,4}:{(164,1),(165,1),(174,1)}
       172:{1,6,7}:{(166,1),(167,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,2,3}:{(171,1)}

 502 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(37,1),(172,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(24,1),(166,1),(167,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(23,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(60,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(14,1),(32,1),(36,1),(37,1),(154,1),(155,1)}
         5:{1,2,5}:{(1,1),(9,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(10,1),(13,1),(173,1)}
         7:{1,2,4}:{(2,1),(14,1)}
         8:{2,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(25,1),(48,1),(52,1),(59,1),(138,1),(139,1)}
         9:{1,3,5}:{(4,1),(5,1),(16,1),(19,1)}
        10:{1,3,4,7}:{(4,1),(6,1),(17,1),(20,1),(55,1),(60,1),(168,1)}
        11:{1,2,5,6}:{(5,1),(18,1),(21,1),(22,1),(24,1),(107,1),(167,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(19,1),(21,1),(23,1),(57,1)}
        13:{1,2,5,7}:{(5,1),(6,1),(20,1),(24,1)}
        14:{1,3,4}:{(7,1),(23,1),(25,1)}
        15:{1,3,4,6}:{(8,1),(26,1),(27,1),(28,1),(41,1),(68,1),(72,1),(86,1),(115,1),(116,1)}
        16:{2,3,5}:{(8,1),(9,1),(27,1),(30,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(28,1),(31,1),(75,1),(87,1),(156,1)}
        18:{1,3,5,6}:{(9,1),(11,1),(29,1),(32,1),(33,1),(36,1),(37,1),(85,1),(155,1),(158,1)}
        19:{1,4,5}:{(9,1),(30,1),(32,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(31,1),(35,1),(36,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(37,1),(38,1),(81,1)}
        22:{1,2,5,7}:{(11,1),(33,1),(38,1),(39,1),(133,1),(173,1)}
        23:{1,3,5}:{(12,1),(14,1),(37,1),(40,1)}
        24:{1,2,6}:{(13,1),(36,1)}
        25:{2,3,4}:{(14,1),(40,1),(41,1)}
        26:{1,2,4,6}:{(15,1),(42,1),(43,1),(44,1),(62,1),(90,1),(94,1),(113,1)}
        27:{1,3,5}:{(15,1),(16,1),(43,1),(46,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(44,1),(47,1),(97,1),(114,1),(140,1)}
        29:{2,3,5,6}:{(16,1),(18,1),(45,1),(48,1),(49,1),(52,1),(59,1),(101,1),(106,1),(107,1),(139,1),(142,1)}
        30:{2,4,5}:{(16,1),(19,1),(46,1),(48,1),(50,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(20,1),(47,1),(51,1),(52,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(55,1)}
        33:{1,3,5,7}:{(18,1),(22,1),(49,1),(55,1),(56,1),(60,1),(112,1),(168,1),(169,1)}
        34:{1,3,4,5}:{(19,1),(23,1),(50,1),(54,1),(57,1)}
        35:{1,4,5,7}:{(19,1),(20,1),(51,1),(55,1),(58,1),(112,1)}
        36:{1,3,6}:{(20,1),(24,1),(52,1),(58,1)}
        37:{1,3,6}:{(21,1),(23,1),(59,1),(60,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(55,1),(60,1),(111,1)}
        39:{1,2,6,7}:{(22,1),(24,1),(56,1),(153,1)}
        40:{2,3,5}:{(23,1),(25,1),(57,1),(59,1),(61,1)}
        41:{1,3,4}:{(25,1),(61,1),(62,1)}
        42:{1,2,3,6}:{(26,1),(63,1),(64,1),(89,1),(116,1)}
        43:{1,2,5}:{(26,1),(27,1)}
        44:{1,2,4,7}:{(26,1),(28,1),(64,1),(67,1),(137,1)}
        45:{1,3,5,6}:{(27,1),(29,1),(65,1),(68,1),(69,1),(72,1),(86,1),(116,1),(126,1),(132,1)}
        46:{1,4,5}:{(27,1),(30,1),(68,1)}
        47:{1,3,5,7}:{(27,1),(28,1),(31,1),(67,1),(71,1),(72,1)}
        48:{2,4,6}:{(29,1),(30,1),(32,1),(68,1),(74,1),(75,1)}
        49:{2,3,5,7}:{(29,1),(33,1),(69,1),(75,1),(76,1),(87,1),(127,1),(130,1),(133,1),(156,1),(159,1)}
        50:{3,4,5}:{(30,1),(74,1)}
        51:{2,4,5,7}:{(30,1),(31,1),(35,1),(71,1),(75,1),(77,1),(78,1),(130,1)}
        52:{2,3,6}:{(31,1),(36,1),(72,1),(78,1)}
        53:{1,4,5,6}:{(32,1),(73,1),(79,1),(80,1),(85,1),(158,1)}
        54:{1,3,4,6}:{(32,1),(34,1),(37,1),(74,1),(79,1),(81,1),(82,1)}
        55:{1,4,7}:{(32,1),(33,1),(75,1)}
        56:{1,3,6,7}:{(33,1),(36,1),(39,1),(76,1),(83,1),(174,1)}
        57:{2,4,5}:{(34,1),(40,1),(81,1),(84,1)}
        58:{1,4,6}:{(35,1),(36,1),(78,1),(85,1)}
        59:{2,3,6}:{(37,1),(40,1),(81,1),(86,1),(87,1)}
        60:{1,3,7}:{(37,1),(38,1),(87,1)}
        61:{1,3,5}:{(40,1),(41,1),(84,1),(86,1),(88,1)}
        62:{1,2,4}:{(41,1),(88,1),(89,1)}
        63:{1,2,3,5}:{(42,1),(43,1),(90,1),(93,1)}
        64:{1,2,3,7}:{(42,1),(44,1),(140,1)}
        65:{1,2,5,6}:{(43,1),(45,1),(91,1),(92,1),(94,1),(113,1),(142,1)}
        66:{1,2,4,5}:{(43,1),(46,1),(90,1),(91,1),(93,1),(99,1)}
        67:{1,2,5,7}:{(43,1),(44,1),(47,1),(94,1)}
        68:{1,4,6}:{(45,1),(46,1),(48,1),(97,1)}
        69:{1,3,5,7}:{(45,1),(49,1),(92,1),(97,1),(98,1),(114,1),(140,1),(147,1),(152,1)}
        70:{1,3,4,5}:{(46,1),(50,1),(93,1),(96,1),(99,1)}
        71:{1,4,5,7}:{(46,1),(47,1),(51,1),(97,1),(100,1),(147,1)}
        72:{1,3,6}:{(47,1),(52,1),(94,1),(100,1)}
        73:{2,4,5,6}:{(48,1),(53,1),(95,1),(101,1),(102,1),(106,1),(107,1),(142,1),(151,1)}
        74:{3,4,6}:{(48,1),(50,1),(101,1),(103,1)}
        75:{2,4,7}:{(48,1),(49,1),(55,1),(97,1),(103,1)}
        76:{2,3,6,7}:{(49,1),(52,1),(56,1),(98,1),(104,1),(148,1),(153,1),(170,1)}
        77:{3,4,5,7}:{(50,1),(51,1),(103,1),(105,1),(150,1)}
        78:{2,4,6}:{(51,1),(52,1),(58,1),(100,1),(105,1),(106,1)}
        79:{1,3,5,6}:{(53,1),(54,1),(101,1),(107,1),(108,1)}
        80:{1,4,5,7}:{(53,1),(55,1),(102,1),(108,1),(109,1),(112,1),(169,1)}
        81:{2,4,6}:{(54,1),(57,1),(59,1),(107,1),(110,1),(111,1)}
        82:{1,3,4,7}:{(54,1),(55,1),(60,1),(103,1),(108,1),(111,1)}
        83:{1,4,6,7}:{(55,1),(56,1),(58,1),(104,1),(112,1)}
        84:{1,4,5}:{(57,1),(61,1),(110,1)}
        85:{1,5,6}:{(58,1),(106,1),(112,1)}
        86:{1,3,6}:{(59,1),(61,1),(110,1),(113,1),(114,1)}
        87:{2,3,7}:{(59,1),(60,1),(111,1),(114,1)}
        88:{1,2,5}:{(61,1),(62,1),(113,1)}
        89:{1,2,3}:{(62,1)}
        90:{1,2,4}:{(63,1),(115,1)}
        91:{1,2,4,6}:{(65,1),(66,1),(68,1),(116,1),(117,1),(122,1)}
        92:{1,2,5,7}:{(65,1),(69,1),(117,1),(118,1),(137,1),(159,1)}
        93:{1,3,5}:{(66,1),(115,1),(116,1),(119,1)}
        94:{1,2,6}:{(67,1),(72,1)}
        95:{1,4,5,6}:{(68,1),(73,1),(120,1),(121,1),(126,1),(132,1)}
        96:{1,3,4,6}:{(68,1),(70,1),(74,1),(116,1),(120,1),(122,1),(123,1)}
        97:{1,4,7}:{(68,1),(69,1),(75,1)}
        98:{1,3,6,7}:{(69,1),(72,1),(76,1),(118,1),(124,1),(165,1)}
        99:{2,4,5}:{(70,1),(119,1),(122,1),(125,1)}
       100:{1,4,6}:{(71,1),(72,1),(78,1),(126,1)}
       101:{3,5,6}:{(73,1),(74,1),(127,1)}
       102:{2,4,5,7}:{(73,1),(75,1),(80,1),(121,1),(127,1),(128,1),(130,1),(133,1),(159,1),(164,1)}
       103:{3,4,7}:{(74,1),(75,1),(127,1)}
       104:{2,4,6,7}:{(75,1),(76,1),(78,1),(83,1),(124,1),(129,1),(130,1)}
       105:{3,4,6}:{(77,1),(78,1),(131,1)}
       106:{2,5,6}:{(78,1),(85,1),(126,1),(130,1),(131,1)}
       107:{2,5,6}:{(79,1),(81,1),(132,1),(133,1)}
       108:{1,3,5,7}:{(79,1),(80,1),(82,1),(127,1),(133,1),(134,1)}
       109:{1,4,6,7}:{(80,1),(128,1),(134,1),(135,1),(174,1)}
       110:{1,4,6}:{(81,1),(84,1),(86,1),(132,1),(136,1)}
       111:{2,4,7}:{(81,1),(82,1),(87,1),(133,1),(136,1)}
       112:{1,5,7}:{(83,1),(85,1),(130,1)}
       113:{1,2,6}:{(86,1),(88,1),(137,1)}
       114:{1,3,7}:{(86,1),(87,1),(136,1),(137,1)}
       115:{1,3,4}:{(90,1),(93,1),(138,1)}
       116:{1,3,6}:{(91,1),(93,1),(139,1),(140,1)}
       117:{1,2,4,7}:{(91,1),(92,1),(97,1),(140,1),(146,1)}
       118:{1,2,6,7}:{(92,1),(94,1),(98,1),(170,1)}
       119:{2,3,5}:{(93,1),(99,1),(138,1),(139,1),(141,1)}
       120:{1,3,5,6}:{(95,1),(96,1),(101,1),(142,1),(143,1)}
       121:{1,4,5,7}:{(95,1),(97,1),(102,1),(143,1),(144,1),(147,1),(152,1)}
       122:{2,4,6}:{(96,1),(99,1),(139,1),(142,1),(145,1),(146,1)}
       123:{1,3,4,7}:{(96,1),(97,1),(103,1),(140,1),(143,1),(146,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(100,1),(104,1),(147,1)}
       125:{1,4,5}:{(99,1),(141,1),(145,1)}
       126:{1,5,6}:{(100,1),(106,1),(147,1)}
       127:{3,5,7}:{(101,1),(102,1),(103,1),(148,1)}
       128:{2,4,6,7}:{(102,1),(109,1),(144,1),(148,1),(149,1),(153,1),(170,1),(171,1)}
       129:{3,4,6,7}:{(103,1),(104,1),(105,1),(148,1),(150,1),(171,1)}
       130:{2,5,7}:{(104,1),(106,1),(112,1),(147,1),(150,1)}
       131:{3,5,6}:{(105,1),(106,1),(150,1),(151,1)}
       132:{1,5,6}:{(107,1),(110,1),(152,1)}
       133:{2,5,7}:{(107,1),(108,1),(111,1),(152,1),(153,1)}
       134:{1,3,6,7}:{(108,1),(109,1),(148,1),(153,1)}
       135:{1,5,6,7}:{(109,1),(112,1),(149,1)}
       136:{1,4,7}:{(110,1),(111,1),(114,1),(152,1)}
       137:{1,2,7}:{(113,1),(114,1)}
       138:{2,3,4}:{(115,1),(119,1),(154,1)}
       139:{2,3,6}:{(116,1),(119,1),(122,1),(155,1),(156,1)}
       140:{1,3,7}:{(116,1),(117,1),(156,1)}
       141:{1,3,5}:{(119,1),(125,1),(154,1),(155,1),(157,1)}
       142:{2,5,6}:{(120,1),(122,1),(158,1),(159,1)}
       143:{1,3,5,7}:{(120,1),(121,1),(123,1),(127,1),(159,1),(160,1)}
       144:{1,4,6,7}:{(121,1),(128,1),(160,1),(161,1),(165,1)}
       145:{1,4,6}:{(122,1),(125,1),(155,1),(158,1),(162,1)}
       146:{2,4,7}:{(122,1),(123,1),(156,1),(159,1),(162,1)}
       147:{1,5,7}:{(124,1),(126,1),(130,1)}
       148:{3,6,7}:{(127,1),(128,1)}
       149:{2,5,6,7}:{(128,1),(130,1),(135,1),(161,1),(163,1)}
       150:{3,5,7}:{(129,1),(130,1),(131,1),(164,1)}
       151:{4,5,6}:{(131,1),(164,1)}
       152:{1,5,7}:{(132,1),(133,1),(136,1),(165,1)}
       153:{2,6,7}:{(133,1),(134,1),(165,1)}
       154:{1,3,4}:{(138,1),(141,1),(166,1)}
       155:{1,3,6}:{(139,1),(141,1),(145,1),(167,1),(168,1)}
       156:{2,3,7}:{(139,1),(140,1),(146,1),(168,1)}
       157:{1,2,5}:{(141,1),(166,1),(167,1)}
       158:{1,5,6}:{(142,1),(145,1),(169,1)}
       159:{2,5,7}:{(142,1),(143,1),(146,1),(169,1),(170,1)}
       160:{1,3,6,7}:{(143,1),(144,1),(148,1),(170,1)}
       161:{1,5,6,7}:{(144,1),(147,1),(149,1)}
       162:{1,4,7}:{(145,1),(146,1),(168,1),(169,1)}
       163:{3,5,6,7}:{(148,1),(149,1),(150,1),(171,1)}
       164:{4,5,7}:{(150,1),(151,1),(171,1)}
       165:{1,6,7}:{(152,1),(153,1)}
       166:{1,2,4}:{(154,1),(157,1),(172,1)}
       167:{1,2,6}:{(155,1),(157,1),(173,1)}
       168:{1,3,7}:{(155,1),(156,1),(162,1),(173,1)}
       169:{1,5,7}:{(158,1),(159,1),(162,1),(174,1)}
       170:{2,6,7}:{(159,1),(160,1),(174,1)}
       171:{4,6,7}:{(163,1),(164,1)}
       172:{1,2,3}:{(166,1)}
       173:{1,2,7}:{(167,1),(168,1)}
       174:{1,6,7}:{(169,1),(170,1)}

 503 :   0:{1,2,3,7}:{(1,1),(2,1),(75,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1),(173,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(54,1),(172,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(72,1),(75,1),(168,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(167,1),(169,1)}
         6:{1,2,3,5}:{(2,1),(11,1),(12,1),(35,1)}
         7:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(92,1),(100,1),(159,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(15,1),(17,1),(18,1),(22,1),(51,1),(54,1),(158,1),(160,1)}
        10:{1,2,6}:{(4,1),(17,1)}
        11:{1,2,5}:{(5,1),(18,1)}
        12:{1,2,4}:{(6,1),(22,1)}
        13:{1,3,4,7}:{(7,1),(23,1),(24,1),(25,1),(110,1),(124,1),(146,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(28,1)}
        15:{2,3,4,6}:{(7,1),(9,1),(25,1),(27,1),(28,1),(36,1),(68,1),(76,1),(145,1),(147,1)}
        16:{1,4,5,7}:{(8,1),(26,1),(29,1),(32,1),(70,1),(72,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1),(29,1)}
        18:{1,3,5}:{(9,1),(11,1),(28,1),(32,1)}
        19:{1,2,6,7}:{(10,1),(30,1),(33,1),(156,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(31,1),(33,1),(34,1),(121,1),(169,1)}
        21:{1,2,4,5}:{(11,1),(12,1),(32,1),(34,1),(35,1),(74,1)}
        22:{1,3,4}:{(12,1),(35,1),(36,1)}
        23:{1,2,4,7}:{(13,1),(37,1),(38,1),(39,1),(144,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(38,1),(40,1),(41,1),(42,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(39,1),(41,1),(42,1),(56,1),(86,1),(101,1),(126,1),(128,1)}
        26:{2,4,5,7}:{(14,1),(16,1),(40,1),(43,1),(44,1),(47,1),(90,1),(92,1)}
        27:{2,3,6}:{(14,1),(17,1),(41,1),(44,1)}
        28:{2,3,5}:{(15,1),(18,1),(42,1),(47,1)}
        29:{1,4,6}:{(16,1),(17,1),(44,1),(49,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(45,1),(48,1),(50,1),(174,1)}
        31:{1,3,5,6}:{(17,1),(18,1),(20,1),(46,1),(49,1),(50,1),(51,1),(54,1),(160,1),(164,1)}
        32:{1,4,5}:{(18,1),(47,1),(51,1)}
        33:{1,2,5,7}:{(19,1),(20,1),(50,1),(53,1),(141,1),(173,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1),(54,1),(98,1)}
        35:{1,3,5}:{(21,1),(22,1),(54,1),(55,1)}
        36:{2,3,4}:{(22,1),(55,1),(56,1)}
        37:{1,2,3,7}:{(23,1),(57,1),(146,1)}
        38:{1,2,5,7}:{(23,1),(24,1),(58,1),(59,1)}
        39:{1,2,4,6}:{(23,1),(25,1),(57,1),(58,1),(59,1),(78,1),(104,1),(125,1)}
        40:{1,4,5,7}:{(24,1),(26,1),(60,1),(63,1),(108,1),(110,1)}
        41:{1,3,6}:{(24,1),(27,1),(58,1),(60,1)}
        42:{1,3,5}:{(25,1),(28,1),(59,1),(63,1)}
        43:{3,4,5,7}:{(26,1),(64,1),(69,1),(113,1),(118,1)}
        44:{2,4,6}:{(26,1),(27,1),(29,1),(60,1),(64,1),(66,1)}
        45:{2,3,6,7}:{(27,1),(30,1),(61,1),(65,1),(67,1),(155,1),(156,1),(170,1)}
        46:{2,3,5,6}:{(27,1),(28,1),(31,1),(62,1),(66,1),(67,1),(68,1),(76,1),(117,1),(121,1),(147,1),(151,1)}
        47:{2,4,5}:{(28,1),(32,1),(63,1),(68,1),(69,1)}
        48:{1,4,6,7}:{(29,1),(30,1),(65,1),(70,1),(72,1)}
        49:{1,5,6}:{(29,1),(66,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(33,1),(67,1),(70,1),(72,1),(75,1),(168,1),(171,1)}
        51:{1,4,6}:{(31,1),(32,1),(68,1),(72,1)}
        52:{1,3,4,5}:{(32,1),(35,1),(69,1),(73,1),(74,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(72,1),(75,1),(122,1)}
        54:{1,3,6}:{(34,1),(35,1),(75,1),(76,1)}
        55:{2,3,5}:{(35,1),(36,1),(74,1),(76,1),(77,1)}
        56:{1,3,4}:{(36,1),(77,1),(78,1)}
        57:{1,2,3,6}:{(37,1),(39,1),(79,1),(103,1),(128,1)}
        58:{1,2,6}:{(38,1),(41,1)}
        59:{1,2,5}:{(39,1),(42,1)}
        60:{1,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{1,3,6,7}:{(41,1),(45,1),(80,1),(83,1),(85,1),(166,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(46,1),(81,1),(84,1),(85,1),(86,1),(101,1),(128,1),(142,1)}
        63:{1,4,5}:{(42,1),(47,1),(86,1)}
        64:{3,4,6}:{(43,1),(44,1),(89,1)}
        65:{2,4,6,7}:{(44,1),(45,1),(48,1),(83,1),(88,1),(90,1),(92,1)}
        66:{2,5,6}:{(44,1),(49,1),(84,1),(89,1),(90,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(50,1),(85,1),(90,1),(92,1),(100,1),(139,1),(141,1),(159,1),(163,1)}
        68:{2,4,6}:{(46,1),(47,1),(51,1),(86,1),(92,1),(93,1)}
        69:{3,4,5}:{(47,1),(93,1)}
        70:{1,5,7}:{(48,1),(49,1),(90,1)}
        71:{1,4,5,6}:{(49,1),(51,1),(91,1),(95,1),(96,1),(164,1)}
        72:{1,4,7}:{(50,1),(51,1),(92,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(93,1),(96,1),(97,1),(98,1)}
        74:{2,4,5}:{(52,1),(55,1),(98,1),(99,1)}
        75:{1,3,7}:{(53,1),(54,1),(100,1)}
        76:{2,3,6}:{(54,1),(55,1),(98,1),(100,1),(101,1)}
        77:{1,3,5}:{(55,1),(56,1),(99,1),(101,1),(102,1)}
        78:{1,2,4}:{(56,1),(102,1),(103,1)}
        79:{1,2,3,5}:{(57,1),(59,1),(104,1),(107,1)}
        80:{1,2,6,7}:{(58,1),(61,1),(105,1),(170,1)}
        81:{1,2,5,6}:{(58,1),(59,1),(62,1),(105,1),(106,1),(125,1),(151,1)}
        82:{1,2,4,5}:{(59,1),(63,1),(104,1),(106,1),(107,1),(112,1)}
        83:{1,4,6,7}:{(60,1),(61,1),(65,1),(108,1),(110,1)}
        84:{1,5,6}:{(60,1),(66,1),(108,1)}
        85:{1,3,5,7}:{(61,1),(62,1),(67,1),(105,1),(108,1),(110,1),(124,1),(146,1),(157,1)}
        86:{1,4,6}:{(62,1),(63,1),(68,1),(110,1)}
        87:{1,3,4,5}:{(63,1),(69,1),(107,1),(111,1),(112,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(113,1),(118,1),(154,1),(155,1)}
        89:{3,5,6}:{(64,1),(66,1),(113,1),(114,1)}
        90:{2,5,7}:{(65,1),(66,1),(70,1),(108,1),(113,1)}
        91:{2,4,5,6}:{(66,1),(68,1),(71,1),(109,1),(114,1),(116,1),(117,1),(121,1),(151,1)}
        92:{2,4,7}:{(67,1),(68,1),(72,1),(110,1),(118,1)}
        93:{3,4,6}:{(68,1),(69,1),(117,1),(118,1)}
        94:{1,5,6,7}:{(70,1),(115,1),(119,1)}
        95:{1,4,5,7}:{(70,1),(71,1),(72,1),(116,1),(119,1),(120,1),(171,1)}
        96:{1,3,5,6}:{(71,1),(73,1),(117,1),(120,1),(121,1)}
        97:{1,3,4,7}:{(72,1),(73,1),(75,1),(118,1),(120,1),(122,1)}
        98:{2,4,6}:{(73,1),(74,1),(76,1),(121,1),(122,1),(123,1)}
        99:{1,4,5}:{(74,1),(77,1),(123,1)}
       100:{2,3,7}:{(75,1),(76,1),(122,1),(124,1)}
       101:{1,3,6}:{(76,1),(77,1),(123,1),(124,1),(125,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1)}
       103:{1,2,3}:{(78,1)}
       104:{1,2,4}:{(79,1),(126,1)}
       105:{1,2,5,7}:{(80,1),(81,1),(85,1),(127,1),(144,1),(163,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(86,1),(127,1),(128,1),(134,1)}
       107:{1,3,5}:{(82,1),(126,1),(128,1),(129,1)}
       108:{1,5,7}:{(83,1),(84,1),(90,1)}
       109:{1,4,5,6}:{(84,1),(86,1),(91,1),(131,1),(132,1),(142,1)}
       110:{1,4,7}:{(85,1),(86,1),(92,1)}
       111:{1,3,4,6}:{(86,1),(87,1),(93,1),(128,1),(132,1),(133,1),(134,1)}
       112:{2,4,5}:{(87,1),(129,1),(134,1),(135,1)}
       113:{3,5,7}:{(88,1),(89,1),(90,1),(137,1)}
       114:{4,5,6}:{(89,1),(137,1)}
       115:{2,5,6,7}:{(90,1),(94,1),(130,1),(136,1),(138,1)}
       116:{2,4,5,7}:{(90,1),(91,1),(92,1),(95,1),(131,1),(137,1),(138,1),(139,1),(141,1),(163,1)}
       117:{3,5,6}:{(91,1),(93,1),(139,1)}
       118:{3,4,7}:{(92,1),(93,1),(139,1)}
       119:{1,4,6,7}:{(94,1),(95,1),(138,1),(140,1),(174,1)}
       120:{1,3,5,7}:{(95,1),(96,1),(97,1),(139,1),(140,1),(141,1)}
       121:{2,5,6}:{(96,1),(98,1),(141,1),(142,1)}
       122:{2,4,7}:{(97,1),(98,1),(100,1),(141,1),(143,1)}
       123:{1,4,6}:{(98,1),(99,1),(101,1),(142,1),(143,1)}
       124:{1,3,7}:{(100,1),(101,1),(143,1),(144,1)}
       125:{1,2,6}:{(101,1),(102,1),(144,1)}
       126:{1,3,4}:{(104,1),(107,1),(145,1)}
       127:{1,2,4,7}:{(105,1),(106,1),(110,1),(146,1),(152,1)}
       128:{1,3,6}:{(106,1),(107,1),(146,1),(147,1)}
       129:{2,3,5}:{(107,1),(112,1),(145,1),(147,1),(148,1)}
       130:{1,5,6,7}:{(108,1),(115,1),(149,1)}
       131:{1,4,5,7}:{(108,1),(109,1),(110,1),(116,1),(149,1),(150,1),(157,1)}
       132:{1,3,5,6}:{(109,1),(111,1),(117,1),(150,1),(151,1)}
       133:{1,3,4,7}:{(110,1),(111,1),(118,1),(146,1),(150,1),(152,1)}
       134:{2,4,6}:{(111,1),(112,1),(147,1),(151,1),(152,1),(153,1)}
       135:{1,4,5}:{(112,1),(148,1),(153,1)}
       136:{3,5,6,7}:{(113,1),(115,1),(154,1),(155,1)}
       137:{4,5,7}:{(113,1),(114,1),(154,1)}
       138:{2,4,6,7}:{(115,1),(116,1),(119,1),(149,1),(154,1),(155,1),(156,1),(170,1)}
       139:{3,5,7}:{(116,1),(117,1),(118,1),(155,1)}
       140:{1,3,6,7}:{(119,1),(120,1),(155,1),(156,1)}
       141:{2,5,7}:{(120,1),(121,1),(122,1),(156,1),(157,1)}
       142:{1,5,6}:{(121,1),(123,1),(157,1)}
       143:{1,4,7}:{(122,1),(123,1),(124,1),(157,1)}
       144:{1,2,7}:{(124,1),(125,1)}
       145:{2,3,4}:{(126,1),(129,1),(158,1)}
       146:{1,3,7}:{(127,1),(128,1),(159,1)}
       147:{2,3,6}:{(128,1),(129,1),(134,1),(159,1),(160,1)}
       148:{1,3,5}:{(129,1),(135,1),(158,1),(160,1),(161,1)}
       149:{1,4,6,7}:{(130,1),(131,1),(138,1),(162,1),(166,1)}
       150:{1,3,5,7}:{(131,1),(132,1),(133,1),(139,1),(162,1),(163,1)}
       151:{2,5,6}:{(132,1),(134,1),(163,1),(164,1)}
       152:{2,4,7}:{(133,1),(134,1),(159,1),(163,1),(165,1)}
       153:{1,4,6}:{(134,1),(135,1),(160,1),(164,1),(165,1)}
       154:{4,6,7}:{(136,1),(137,1)}
       155:{3,6,7}:{(138,1),(139,1)}
       156:{2,6,7}:{(140,1),(141,1),(166,1)}
       157:{1,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{1,3,4}:{(145,1),(148,1),(167,1)}
       159:{2,3,7}:{(146,1),(147,1),(152,1),(168,1)}
       160:{1,3,6}:{(147,1),(148,1),(153,1),(168,1),(169,1)}
       161:{1,2,5}:{(148,1),(167,1),(169,1)}
       162:{1,3,6,7}:{(149,1),(150,1),(155,1),(170,1)}
       163:{2,5,7}:{(150,1),(151,1),(152,1),(170,1),(171,1)}
       164:{1,5,6}:{(151,1),(153,1),(171,1)}
       165:{1,4,7}:{(152,1),(153,1),(168,1),(171,1)}
       166:{1,6,7}:{(156,1),(157,1)}
       167:{1,2,4}:{(158,1),(161,1),(172,1)}
       168:{1,3,7}:{(159,1),(160,1),(165,1),(173,1)}
       169:{1,2,6}:{(160,1),(161,1),(173,1)}
       170:{2,6,7}:{(162,1),(163,1),(174,1)}
       171:{1,5,7}:{(163,1),(164,1),(165,1),(174,1)}
       172:{1,2,3}:{(167,1)}
       173:{1,2,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(170,1),(171,1)}

 504 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(21,1),(23,1),(58,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(21,1),(29,1),(32,1),(55,1),(58,1),(64,1),(96,1)}
         2:{1,3,6}:{(0,1),(8,1),(9,1),(10,1),(116,1)}
         3:{1,2,5}:{(0,1),(9,1),(13,1),(78,1),(140,1)}
         4:{1,2,4,7}:{(0,1),(10,1),(11,1),(14,1),(38,1),(176,1)}
         5:{2,4,6}:{(1,1),(8,1),(12,1),(13,1),(14,1),(36,1),(47,1)}
         6:{1,3,5}:{(1,1),(13,1),(16,1),(45,1),(78,1),(115,1)}
         7:{1,3,4,7}:{(1,1),(10,1),(14,1),(17,1),(38,1),(48,1),(76,1),(85,1),(177,1)}
         8:{2,3,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(64,1),(98,1)}
         9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(101,1),(125,1)}
        10:{1,3,7}:{(2,1),(4,1),(20,1),(133,1),(181,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(22,1),(23,1),(28,1),(152,1),(170,1)}
        12:{1,4,6}:{(5,1),(18,1),(24,1),(25,1),(53,1),(63,1)}
        13:{2,5}:{(5,1),(6,1),(24,1)}
        14:{2,4,7}:{(5,1),(7,1),(20,1),(25,1),(28,1),(182,1)}
        15:{1,3,5,6}:{(6,1),(26,1),(29,1),(30,1),(32,1),(64,1),(70,1),(107,1)}
        16:{1,4,5}:{(6,1),(21,1),(27,1),(29,1),(101,1),(132,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(67,1),(173,1),(174,1)}
        18:{1,3,6}:{(8,1),(12,1),(33,1),(34,1),(35,1)}
        19:{2,3,5}:{(8,1),(9,1),(13,1),(34,1),(36,1),(45,1),(82,1),(108,1)}
        20:{2,3,7}:{(8,1),(10,1),(14,1),(35,1),(85,1),(117,1),(185,1)}
        21:{1,4}:{(9,1),(36,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(11,1),(37,1),(38,1),(39,1),(78,1),(120,1),(141,1),(163,1)}
        23:{1,2,6}:{(11,1),(39,1),(47,1)}
        24:{1,5}:{(12,1),(13,1)}
        25:{1,4,7}:{(12,1),(14,1),(35,1),(42,1),(186,1)}
        26:{2,5,6}:{(13,1),(15,1),(40,1),(43,1),(44,1),(47,1)}
        27:{2,4,5}:{(13,1),(16,1),(36,1),(41,1),(43,1),(45,1),(82,1)}
        28:{2,5,7}:{(13,1),(14,1),(17,1),(42,1),(47,1),(178,1),(179,1)}
        29:{1,4,6}:{(15,1),(16,1),(43,1),(48,1),(116,1),(124,1)}
        30:{1,3,5,7}:{(15,1),(44,1),(48,1),(49,1),(85,1),(89,1),(123,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(38,1),(46,1),(48,1),(50,1),(78,1),(89,1),(120,1),(165,1),(167,1)}
        32:{1,3,6}:{(17,1),(47,1),(50,1),(87,1)}
        33:{1,2,6}:{(18,1),(51,1),(52,1),(98,1)}
        34:{1,3,5}:{(18,1),(19,1),(24,1),(51,1),(53,1),(90,1)}
        35:{1,3,7}:{(18,1),(20,1),(25,1),(52,1),(187,1)}
        36:{2,4}:{(19,1),(21,1),(53,1),(55,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(22,1),(28,1),(54,1),(56,1),(57,1),(67,1),(97,1),(102,1),(126,1),(154,1)}
        38:{1,4,7}:{(21,1),(22,1),(56,1),(58,1),(171,1)}
        39:{1,3,6}:{(22,1),(23,1),(57,1),(58,1),(136,1)}
        40:{1,5,6}:{(24,1),(26,1),(59,1),(60,1),(63,1)}
        41:{1,4,5}:{(24,1),(27,1),(53,1),(59,1),(61,1)}
        42:{1,5,7}:{(24,1),(25,1),(28,1),(63,1),(183,1),(184,1)}
        43:{2,4,6}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(98,1)}
        44:{2,5,7}:{(26,1),(30,1),(60,1),(65,1),(66,1)}
        45:{3,5}:{(27,1),(55,1),(64,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(31,1),(56,1),(62,1),(65,1),(67,1),(68,1),(97,1),(102,1),(106,1),(132,1),(139,1),(157,1),(159,1)}
        47:{2,6}:{(28,1),(32,1),(63,1)}
        48:{1,4,7}:{(29,1),(30,1),(65,1),(133,1),(139,1)}
        49:{1,3,6,7}:{(30,1),(32,1),(66,1),(69,1),(105,1),(174,1)}
        50:{1,4,6}:{(31,1),(32,1),(68,1),(70,1),(136,1)}
        51:{1,2,5}:{(33,1),(34,1),(71,1),(82,1)}
        52:{1,2,7}:{(33,1),(35,1),(117,1),(188,1)}
        53:{1,4}:{(34,1),(36,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(37,1),(42,1),(72,1),(74,1),(75,1),(109,1),(114,1),(143,1)}
        55:{3,4}:{(36,1),(45,1)}
        56:{2,4,7}:{(36,1),(37,1),(38,1),(74,1),(76,1),(77,1),(164,1)}
        57:{2,3,6}:{(37,1),(39,1),(47,1),(75,1),(77,1),(87,1),(121,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1)}
        59:{1,4,6}:{(40,1),(41,1),(43,1),(79,1),(80,1)}
        60:{1,5,7}:{(40,1),(44,1),(80,1),(81,1)}
        61:{1,3,5}:{(41,1),(45,1),(73,1),(79,1),(82,1)}
        62:{1,4,5,7}:{(41,1),(42,1),(46,1),(74,1),(80,1),(83,1),(84,1),(114,1),(119,1),(146,1),(149,1)}
        63:{1,6}:{(42,1),(47,1)}
        64:{3,6}:{(43,1),(45,1),(85,1)}
        65:{2,4,7}:{(43,1),(44,1),(48,1),(80,1),(85,1),(117,1)}
        66:{2,6,7}:{(44,1),(47,1),(49,1),(81,1),(179,1)}
        67:{3,5,7}:{(45,1),(46,1),(76,1),(85,1),(87,1),(115,1),(166,1),(168,1)}
        68:{2,4,6}:{(46,1),(47,1),(50,1),(84,1),(87,1),(88,1),(121,1),(124,1)}
        69:{1,4,6,7}:{(48,1),(49,1),(50,1),(86,1),(89,1),(147,1),(167,1)}
        70:{1,5,6}:{(50,1),(78,1),(88,1),(89,1)}
        71:{1,2,4}:{(51,1),(53,1),(90,1),(93,1)}
        72:{1,2,5,7}:{(51,1),(52,1),(54,1),(91,1),(92,1),(102,1),(128,1)}
        73:{1,3,4}:{(53,1),(55,1),(61,1),(90,1),(93,1)}
        74:{1,4,7}:{(53,1),(54,1),(56,1),(95,1),(155,1)}
        75:{1,3,6}:{(54,1),(57,1),(63,1),(92,1),(95,1)}
        76:{3,4,7}:{(55,1),(56,1),(67,1),(96,1),(139,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1)}
        78:{1,5}:{(58,1),(97,1)}
        79:{1,3,6}:{(59,1),(61,1),(64,1),(98,1),(99,1)}
        80:{1,4,7}:{(59,1),(60,1),(65,1),(99,1)}
        81:{1,6,7}:{(60,1),(63,1),(66,1),(184,1)}
        82:{2,5}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,5,7}:{(61,1),(62,1),(67,1),(94,1),(99,1),(102,1),(103,1),(131,1)}
        84:{1,4,6}:{(62,1),(63,1),(68,1),(103,1),(104,1)}
        85:{3,7}:{(64,1),(65,1)}
        86:{2,4,6,7}:{(65,1),(66,1),(68,1),(69,1),(100,1),(105,1),(106,1),(134,1),(139,1),(159,1)}
        87:{3,6}:{(67,1),(68,1)}
        88:{2,5,6}:{(68,1),(70,1),(97,1),(104,1),(106,1),(107,1)}
        89:{1,5,7}:{(69,1),(70,1),(106,1)}
        90:{1,3}:{(71,1),(108,1)}
        91:{1,2,4,7}:{(71,1),(72,1),(74,1),(109,1),(110,1),(112,1)}
        92:{1,2,6}:{(72,1),(75,1),(121,1)}
        93:{2,4}:{(73,1),(82,1),(108,1),(111,1)}
        94:{1,3,4,7}:{(73,1),(74,1),(76,1),(83,1),(109,1),(112,1),(113,1),(149,1),(168,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(114,1)}
        96:{3,4,6}:{(76,1),(77,1),(87,1),(115,1),(124,1)}
        97:{2,5}:{(77,1),(78,1),(114,1),(115,1)}
        98:{2,6}:{(79,1),(82,1),(116,1),(117,1)}
        99:{1,3,7}:{(79,1),(80,1),(85,1),(117,1)}
       100:{1,4,6,7}:{(80,1),(81,1),(84,1),(86,1),(118,1),(119,1),(149,1)}
       101:{1,5}:{(82,1),(111,1),(116,1)}
       102:{2,5,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1),(145,1)}
       103:{1,3,6}:{(83,1),(84,1),(87,1),(121,1)}
       104:{1,5,6}:{(84,1),(88,1),(114,1),(119,1)}
       105:{3,6,7}:{(85,1),(86,1),(87,1),(123,1),(168,1)}
       106:{2,5,7}:{(86,1),(88,1),(89,1),(119,1),(123,1)}
       107:{3,5,6}:{(87,1),(88,1),(115,1),(123,1),(124,1)}
       108:{2,3}:{(90,1),(93,1),(125,1)}
       109:{1,3,7}:{(90,1),(91,1),(126,1),(127,1),(184,1)}
       110:{1,2,4,6}:{(91,1),(92,1),(95,1),(127,1),(128,1),(130,1),(155,1)}
       111:{1,4}:{(93,1),(101,1),(125,1)}
       112:{2,4,7}:{(93,1),(94,1),(102,1),(126,1),(129,1),(130,1)}
       113:{1,3,4,6}:{(94,1),(95,1),(96,1),(103,1),(127,1),(130,1),(131,1),(138,1),(155,1),(161,1),(172,1)}
       114:{1,5}:{(95,1),(97,1)}
       115:{3,5}:{(96,1),(97,1),(132,1)}
       116:{1,6}:{(98,1),(101,1),(133,1)}
       117:{2,7}:{(98,1),(99,1),(133,1)}
       118:{1,3,6,7}:{(99,1),(100,1),(103,1),(105,1),(134,1),(135,1)}
       119:{1,5,7}:{(100,1),(104,1),(106,1)}
       120:{1,5,7}:{(101,1),(102,1),(129,1),(133,1),(136,1),(156,1)}
       121:{2,6}:{(102,1),(103,1),(136,1)}
       122:{1,3,5,6}:{(103,1),(104,1),(107,1),(131,1),(135,1),(137,1),(138,1),(161,1)}
       123:{3,5,7}:{(105,1),(106,1),(107,1),(139,1)}
       124:{4,6}:{(107,1),(132,1),(139,1)}
       125:{1,3}:{(108,1),(111,1),(140,1)}
       126:{2,3,7}:{(108,1),(109,1),(112,1),(141,1),(142,1),(168,1),(179,1)}
       127:{1,3,6}:{(109,1),(110,1),(142,1),(143,1),(180,1)}
       128:{1,2,5}:{(110,1),(114,1),(143,1),(145,1),(188,1)}
       129:{1,4,7}:{(111,1),(112,1),(120,1),(141,1),(144,1)}
       130:{2,4,6}:{(112,1),(113,1),(121,1),(142,1),(144,1),(145,1),(164,1)}
       131:{1,3,5}:{(113,1),(114,1),(115,1),(145,1),(146,1),(166,1)}
       132:{4,5}:{(115,1),(124,1)}
       133:{1,7}:{(116,1),(117,1)}
       134:{2,6,7}:{(117,1),(118,1),(121,1),(147,1),(148,1)}
       135:{1,3,5,7}:{(118,1),(119,1),(122,1),(123,1),(148,1),(149,1),(168,1)}
       136:{1,6}:{(120,1),(121,1)}
       137:{2,5,6}:{(121,1),(122,1),(145,1),(148,1),(150,1),(151,1)}
       138:{1,4,6}:{(122,1),(124,1),(146,1),(149,1),(151,1),(180,1)}
       139:{4,7}:{(123,1),(124,1)}
       140:{1,2}:{(125,1)}
       141:{1,3,7}:{(125,1),(126,1),(129,1),(152,1),(153,1)}
       142:{2,3,6}:{(126,1),(127,1),(130,1),(153,1),(154,1),(161,1),(175,1)}
       143:{1,3,5}:{(127,1),(128,1),(154,1),(155,1),(183,1),(187,1)}
       144:{1,4,6}:{(129,1),(130,1),(136,1),(153,1),(156,1),(171,1)}
       145:{2,5}:{(130,1),(131,1),(156,1)}
       146:{1,4,5}:{(131,1),(132,1),(138,1),(155,1),(157,1),(183,1)}
       147:{1,6,7}:{(133,1),(134,1),(136,1),(158,1)}
       148:{2,5,7}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{1,4,7}:{(135,1),(138,1),(139,1),(159,1),(184,1)}
       150:{1,5,6}:{(136,1),(137,1),(156,1),(158,1),(160,1)}
       151:{2,4,6}:{(137,1),(138,1),(157,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,2,7}:{(140,1),(141,1),(162,1),(179,1)}
       153:{1,3,6}:{(141,1),(142,1),(144,1),(162,1),(163,1)}
       154:{2,3,5}:{(142,1),(143,1),(145,1),(163,1),(164,1),(166,1),(178,1),(185,1)}
       155:{1,4}:{(143,1),(164,1)}
       156:{1,5}:{(144,1),(145,1)}
       157:{2,4,5}:{(145,1),(146,1),(151,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,5,7}:{(147,1),(148,1),(150,1),(167,1)}
       159:{2,4,7}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(165,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(166,1),(168,1)}
       162:{1,2,6}:{(152,1),(153,1),(170,1),(175,1)}
       163:{1,3,5}:{(153,1),(154,1),(156,1),(170,1),(171,1),(181,1)}
       164:{2,4}:{(154,1),(155,1),(171,1),(172,1)}
       165:{1,4,5}:{(156,1),(157,1),(160,1),(171,1),(173,1)}
       166:{3,5}:{(157,1),(161,1),(172,1)}
       167:{1,4,7}:{(158,1),(159,1),(160,1),(174,1)}
       168:{3,7}:{(159,1),(161,1)}
       169:{1,3,6}:{(160,1),(161,1),(173,1),(174,1),(175,1)}
       170:{1,2,5}:{(162,1),(163,1),(176,1),(178,1)}
       171:{1,4}:{(163,1),(164,1)}
       172:{3,4}:{(164,1),(166,1)}
       173:{1,3,5}:{(165,1),(166,1),(169,1),(177,1),(178,1)}
       174:{1,3,7}:{(167,1),(168,1),(169,1),(179,1)}
       175:{2,6}:{(169,1),(178,1),(179,1),(180,1)}
       176:{1,2,4}:{(170,1),(171,1),(181,1),(182,1)}
       177:{1,3,4}:{(171,1),(172,1),(173,1),(181,1),(182,1)}
       178:{2,5}:{(173,1),(175,1),(182,1),(183,1)}
       179:{2,7}:{(174,1),(175,1),(184,1)}
       180:{1,6}:{(175,1),(183,1),(184,1)}
       181:{1,3}:{(176,1),(185,1)}
       182:{2,4}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,7}:{(179,1),(180,1)}
       185:{2,3}:{(181,1),(182,1),(187,1)}
       186:{1,4}:{(182,1),(183,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

 505 :   0:{1,2,4,7}:{(2,1),(3,1),(4,1),(5,1),(22,1),(176,1)}
         1:{1,3,4,7}:{(2,1),(5,1),(6,1),(7,1),(22,1),(59,1),(75,1),(115,1),(177,1)}
         2:{1,3,7}:{(0,1),(8,1),(10,1),(160,1),(181,1)}
         3:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(14,1),(149,1),(170,1)}
         4:{1,2,4,6}:{(0,1),(10,1),(11,1),(12,1),(15,1),(40,1),(41,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(15,1),(182,1)}
         6:{1,3,5,7}:{(1,1),(14,1),(16,1),(17,1),(18,1),(45,1),(173,1),(174,1)}
         7:{1,3,4,6}:{(1,1),(10,1),(15,1),(17,1),(18,1),(40,1),(41,1),(53,1),(82,1),(84,1),(96,1)}
         8:{2,3,7}:{(2,1),(5,1),(19,1),(21,1),(115,1),(147,1),(185,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(20,1),(22,1),(23,1),(24,1),(62,1),(105,1),(134,1),(162,1)}
        10:{1,3,6}:{(2,1),(4,1),(21,1),(24,1),(148,1)}
        11:{1,2,6}:{(3,1),(23,1),(28,1)}
        12:{1,2,5}:{(4,1),(24,1),(29,1),(62,1),(164,1)}
        13:{1,4,7}:{(5,1),(19,1),(25,1),(26,1),(186,1)}
        14:{2,5,7}:{(5,1),(6,1),(25,1),(28,1),(29,1),(178,1),(179,1)}
        15:{2,4,6}:{(5,1),(7,1),(21,1),(26,1),(28,1),(29,1),(61,1)}
        16:{1,4,5,7}:{(6,1),(22,1),(27,1),(30,1),(33,1),(62,1),(74,1),(75,1),(105,1),(165,1),(167,1)}
        17:{1,3,6}:{(6,1),(28,1),(30,1),(68,1)}
        18:{1,3,5}:{(7,1),(29,1),(33,1),(62,1),(73,1),(104,1)}
        19:{1,3,7}:{(8,1),(13,1),(34,1),(36,1),(187,1)}
        20:{2,3,5,7}:{(8,1),(9,1),(14,1),(35,1),(37,1),(38,1),(39,1),(45,1),(83,1),(85,1),(116,1),(151,1)}
        21:{2,3,6}:{(8,1),(10,1),(15,1),(36,1),(39,1),(96,1),(131,1)}
        22:{1,4,7}:{(9,1),(37,1),(40,1),(41,1),(171,1)}
        23:{1,3,6}:{(9,1),(11,1),(38,1),(40,1),(125,1)}
        24:{1,3,5}:{(10,1),(12,1),(39,1),(41,1),(132,1),(153,1)}
        25:{1,5,7}:{(13,1),(14,1),(43,1),(44,1),(183,1),(184,1)}
        26:{1,4,6}:{(13,1),(15,1),(36,1),(43,1),(44,1),(81,1)}
        27:{2,4,5,7}:{(14,1),(16,1),(37,1),(42,1),(45,1),(46,1),(49,1),(83,1),(85,1),(94,1),(95,1),(124,1),(133,1),(155,1),(158,1)}
        28:{2,6}:{(14,1),(17,1),(43,1)}
        29:{2,5}:{(15,1),(18,1),(44,1)}
        30:{1,4,6}:{(16,1),(17,1),(46,1),(51,1),(125,1)}
        31:{1,3,6,7}:{(17,1),(47,1),(50,1),(52,1),(92,1),(174,1)}
        32:{1,3,5,6}:{(17,1),(18,1),(48,1),(51,1),(52,1),(53,1),(93,1),(96,1)}
        33:{1,4,5}:{(18,1),(41,1),(49,1),(53,1),(124,1),(132,1)}
        34:{1,2,7}:{(19,1),(55,1),(147,1),(188,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(25,1),(54,1),(56,1),(57,1),(58,1),(97,1),(102,1),(136,1)}
        36:{1,3,6}:{(19,1),(21,1),(26,1),(55,1),(58,1)}
        37:{2,4,7}:{(20,1),(22,1),(56,1),(59,1),(60,1),(61,1),(163,1)}
        38:{2,3,6}:{(20,1),(23,1),(28,1),(57,1),(60,1),(68,1),(106,1)}
        39:{2,3,5}:{(21,1),(24,1),(29,1),(58,1),(61,1),(73,1),(112,1),(137,1)}
        40:{1,4,6}:{(22,1),(23,1),(60,1),(62,1)}
        41:{1,4}:{(24,1),(61,1)}
        42:{1,4,5,7}:{(25,1),(27,1),(56,1),(63,1),(64,1),(67,1),(102,1),(109,1),(110,1),(140,1),(146,1)}
        43:{1,6}:{(25,1),(28,1)}
        44:{1,5}:{(26,1),(29,1)}
        45:{3,5,7}:{(27,1),(59,1),(68,1),(73,1),(104,1),(115,1),(166,1),(169,1)}
        46:{2,4,6}:{(27,1),(28,1),(30,1),(64,1),(68,1),(70,1),(106,1),(114,1)}
        47:{2,6,7}:{(28,1),(31,1),(65,1),(71,1),(179,1)}
        48:{2,5,6}:{(28,1),(29,1),(32,1),(66,1),(71,1),(72,1)}
        49:{2,4,5}:{(29,1),(33,1),(61,1),(67,1),(72,1),(73,1),(112,1)}
        50:{1,4,6,7}:{(30,1),(31,1),(69,1),(74,1),(75,1),(142,1),(167,1)}
        51:{1,5,6}:{(30,1),(62,1),(70,1),(74,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(71,1),(74,1),(75,1),(113,1),(115,1)}
        53:{1,4,6}:{(32,1),(33,1),(72,1),(75,1),(114,1),(148,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(76,1),(77,1),(78,1),(85,1),(118,1)}
        55:{1,2,6}:{(34,1),(36,1),(78,1),(131,1)}
        56:{1,4,7}:{(35,1),(37,1),(80,1),(81,1),(152,1)}
        57:{1,3,6}:{(35,1),(38,1),(43,1),(77,1),(80,1)}
        58:{1,3,5}:{(36,1),(39,1),(44,1),(78,1),(81,1),(119,1)}
        59:{3,4,7}:{(37,1),(45,1),(82,1),(84,1),(133,1),(172,1)}
        60:{2,4,6}:{(37,1),(38,1),(40,1),(80,1),(82,1),(83,1)}
        61:{2,4}:{(39,1),(41,1),(81,1),(84,1)}
        62:{1,5}:{(40,1),(83,1)}
        63:{1,3,5,7}:{(42,1),(45,1),(79,1),(85,1),(86,1),(91,1),(122,1),(130,1)}
        64:{1,4,6}:{(42,1),(43,1),(46,1),(86,1),(88,1)}
        65:{1,6,7}:{(43,1),(47,1),(89,1),(184,1)}
        66:{1,5,6}:{(43,1),(44,1),(48,1),(89,1),(90,1)}
        67:{1,4,5}:{(44,1),(49,1),(81,1),(90,1),(91,1)}
        68:{3,6}:{(45,1),(46,1)}
        69:{2,4,6,7}:{(46,1),(47,1),(50,1),(87,1),(92,1),(94,1),(95,1),(126,1),(133,1),(158,1)}
        70:{2,5,6}:{(46,1),(51,1),(83,1),(88,1),(93,1),(94,1)}
        71:{2,5,7}:{(47,1),(48,1),(52,1),(89,1),(95,1)}
        72:{2,4,6}:{(48,1),(49,1),(53,1),(90,1),(95,1),(96,1),(131,1)}
        73:{3,5}:{(49,1),(84,1),(96,1)}
        74:{1,5,7}:{(50,1),(51,1),(94,1)}
        75:{1,4,7}:{(52,1),(53,1),(95,1),(133,1),(160,1)}
        76:{1,2,4,7}:{(54,1),(56,1),(97,1),(98,1),(99,1),(100,1)}
        77:{1,2,6}:{(54,1),(57,1),(106,1)}
        78:{1,2,5}:{(55,1),(58,1),(99,1),(112,1)}
        79:{1,3,4,7}:{(56,1),(59,1),(63,1),(97,1),(100,1),(101,1),(103,1),(146,1),(169,1)}
        80:{1,4,6}:{(56,1),(57,1),(60,1),(102,1)}
        81:{1,4}:{(58,1),(61,1)}
        82:{3,4,6}:{(59,1),(60,1),(68,1),(104,1),(114,1)}
        83:{2,5}:{(60,1),(62,1),(102,1),(104,1)}
        84:{3,4}:{(61,1),(73,1)}
        85:{2,5,7}:{(63,1),(100,1),(105,1),(106,1),(112,1),(139,1),(147,1)}
        86:{1,3,6}:{(63,1),(64,1),(68,1),(106,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(69,1),(107,1),(109,1),(110,1),(146,1)}
        88:{1,5,6}:{(64,1),(70,1),(102,1),(109,1)}
        89:{1,5,7}:{(65,1),(66,1),(71,1),(110,1)}
        90:{1,4,6}:{(66,1),(67,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(67,1),(73,1),(103,1),(111,1),(112,1)}
        92:{3,6,7}:{(68,1),(69,1),(113,1),(115,1),(169,1)}
        93:{3,5,6}:{(68,1),(70,1),(104,1),(113,1),(114,1)}
        94:{2,5,7}:{(69,1),(70,1),(74,1),(109,1),(113,1)}
        95:{2,4,7}:{(71,1),(72,1),(75,1),(110,1),(115,1),(147,1)}
        96:{3,6}:{(72,1),(73,1),(115,1)}
        97:{1,3,7}:{(76,1),(116,1),(117,1),(119,1),(184,1)}
        98:{1,2,4,6}:{(76,1),(77,1),(80,1),(117,1),(118,1),(121,1),(152,1)}
        99:{1,2,4}:{(78,1),(81,1),(119,1),(123,1)}
       100:{2,4,7}:{(79,1),(85,1),(116,1),(120,1),(121,1),(123,1)}
       101:{1,3,4,6}:{(79,1),(80,1),(82,1),(86,1),(117,1),(121,1),(122,1),(129,1),(152,1),(159,1),(172,1)}
       102:{1,5}:{(80,1),(83,1)}
       103:{1,3,4}:{(81,1),(84,1),(91,1),(119,1),(123,1)}
       104:{3,5}:{(82,1),(83,1),(124,1)}
       105:{1,5,7}:{(85,1),(120,1),(125,1),(132,1),(154,1),(160,1)}
       106:{2,6}:{(85,1),(86,1),(125,1)}
       107:{1,3,6,7}:{(86,1),(87,1),(92,1),(126,1),(128,1),(130,1)}
       108:{1,3,5,6}:{(86,1),(88,1),(93,1),(122,1),(127,1),(128,1),(129,1),(159,1)}
       109:{1,5,7}:{(87,1),(88,1),(94,1)}
       110:{1,4,7}:{(89,1),(90,1),(95,1),(130,1)}
       111:{1,3,6}:{(90,1),(91,1),(96,1),(130,1),(131,1)}
       112:{2,5}:{(91,1),(123,1),(131,1),(132,1)}
       113:{3,5,7}:{(92,1),(93,1),(94,1),(133,1)}
       114:{4,6}:{(93,1),(124,1),(133,1)}
       115:{3,7}:{(95,1),(96,1)}
       116:{2,3,7}:{(97,1),(100,1),(134,1),(135,1),(137,1),(169,1),(179,1)}
       117:{1,3,6}:{(97,1),(98,1),(135,1),(136,1),(180,1)}
       118:{1,2,5}:{(98,1),(102,1),(136,1),(139,1),(188,1)}
       119:{1,3}:{(99,1),(137,1)}
       120:{1,4,7}:{(100,1),(105,1),(134,1),(138,1),(141,1)}
       121:{2,4,6}:{(100,1),(101,1),(106,1),(135,1),(138,1),(139,1),(163,1)}
       122:{1,3,5}:{(101,1),(102,1),(104,1),(139,1),(140,1),(166,1)}
       123:{2,4}:{(103,1),(112,1),(137,1),(141,1)}
       124:{4,5}:{(104,1),(114,1)}
       125:{1,6}:{(105,1),(106,1)}
       126:{2,6,7}:{(106,1),(107,1),(142,1),(144,1),(147,1)}
       127:{2,5,6}:{(106,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       128:{1,3,5,7}:{(107,1),(108,1),(109,1),(113,1),(144,1),(146,1),(169,1)}
       129:{1,4,6}:{(108,1),(114,1),(140,1),(145,1),(146,1),(180,1)}
       130:{1,3,7}:{(110,1),(111,1),(115,1),(147,1)}
       131:{2,6}:{(111,1),(112,1),(147,1),(148,1)}
       132:{1,5}:{(112,1),(141,1),(148,1)}
       133:{4,7}:{(113,1),(114,1)}
       134:{1,3,7}:{(116,1),(120,1),(149,1),(150,1),(153,1)}
       135:{2,3,6}:{(116,1),(117,1),(121,1),(150,1),(151,1),(159,1),(175,1)}
       136:{1,3,5}:{(117,1),(118,1),(151,1),(152,1),(183,1),(187,1)}
       137:{2,3}:{(119,1),(123,1),(153,1)}
       138:{1,4,6}:{(120,1),(121,1),(125,1),(150,1),(154,1),(171,1)}
       139:{2,5}:{(121,1),(122,1),(154,1)}
       140:{1,4,5}:{(122,1),(124,1),(129,1),(152,1),(155,1),(183,1)}
       141:{1,4}:{(123,1),(132,1),(153,1)}
       142:{1,6,7}:{(125,1),(126,1),(156,1),(160,1)}
       143:{1,5,6}:{(125,1),(127,1),(154,1),(156,1),(157,1)}
       144:{2,5,7}:{(126,1),(127,1),(128,1),(156,1),(158,1)}
       145:{2,4,6}:{(127,1),(129,1),(155,1),(157,1),(158,1),(159,1),(175,1)}
       146:{1,4,7}:{(128,1),(129,1),(133,1),(158,1),(184,1)}
       147:{2,7}:{(130,1),(131,1),(160,1)}
       148:{1,6}:{(131,1),(132,1),(160,1)}
       149:{1,2,7}:{(134,1),(161,1),(164,1),(179,1)}
       150:{1,3,6}:{(134,1),(135,1),(138,1),(161,1),(162,1)}
       151:{2,3,5}:{(135,1),(136,1),(139,1),(162,1),(163,1),(166,1),(178,1),(185,1)}
       152:{1,4}:{(136,1),(163,1)}
       153:{1,3}:{(137,1),(141,1),(164,1)}
       154:{1,5}:{(138,1),(139,1)}
       155:{2,4,5}:{(139,1),(140,1),(145,1),(163,1),(165,1),(166,1),(178,1)}
       156:{1,5,7}:{(142,1),(143,1),(144,1),(167,1)}
       157:{1,4,6}:{(143,1),(145,1),(165,1),(167,1),(168,1)}
       158:{2,4,7}:{(144,1),(145,1),(146,1),(167,1),(169,1),(179,1)}
       159:{3,6}:{(145,1),(166,1),(169,1)}
       160:{1,7}:{(147,1),(148,1)}
       161:{1,2,6}:{(149,1),(150,1),(170,1),(175,1)}
       162:{1,3,5}:{(150,1),(151,1),(154,1),(170,1),(171,1),(181,1)}
       163:{2,4}:{(151,1),(152,1),(171,1),(172,1)}
       164:{1,2}:{(153,1)}
       165:{1,4,5}:{(154,1),(155,1),(157,1),(171,1),(173,1)}
       166:{3,5}:{(155,1),(159,1),(172,1)}
       167:{1,4,7}:{(156,1),(157,1),(158,1),(174,1)}
       168:{1,3,6}:{(157,1),(159,1),(173,1),(174,1),(175,1)}
       169:{3,7}:{(158,1),(159,1)}
       170:{1,2,5}:{(161,1),(162,1),(176,1),(178,1)}
       171:{1,4}:{(162,1),(163,1)}
       172:{3,4}:{(163,1),(166,1)}
       173:{1,3,5}:{(165,1),(166,1),(168,1),(177,1),(178,1)}
       174:{1,3,7}:{(167,1),(168,1),(169,1),(179,1)}
       175:{2,6}:{(168,1),(178,1),(179,1),(180,1)}
       176:{1,2,4}:{(170,1),(171,1),(181,1),(182,1)}
       177:{1,3,4}:{(171,1),(172,1),(173,1),(181,1),(182,1)}
       178:{2,5}:{(173,1),(175,1),(182,1),(183,1)}
       179:{2,7}:{(174,1),(175,1),(184,1)}
       180:{1,6}:{(175,1),(183,1),(184,1)}
       181:{1,3}:{(176,1),(185,1)}
       182:{2,4}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,7}:{(179,1),(180,1)}
       185:{2,3}:{(181,1),(182,1),(187,1)}
       186:{1,4}:{(182,1),(183,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

 506 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(21,1),(25,1),(63,1),(141,1),(144,1),(146,1),(149,1),(167,1),(220,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(11,1),(31,1),(39,1),(43,1),(51,1),(92,1),(100,1),(104,1),(127,1),(180,1),(189,1),(190,1),(196,1),(212,1),(262,1)}
         2:{2,3,5}:{(0,1),(6,1),(9,1),(184,1),(191,1),(209,1),(259,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(10,1),(35,1),(46,1),(101,1),(187,1),(197,1),(213,1),(263,1)}
         4:{1,2,4,6}:{(5,1),(11,1),(12,1),(13,1),(51,1),(56,1),(127,1),(262,1),(265,1),(266,1)}
         5:{2,4,6}:{(1,1),(15,1),(16,1),(17,1),(63,1),(69,1),(236,1),(244,1)}
         6:{1,3,5}:{(1,1),(2,1),(16,1),(19,1),(67,1),(171,1),(224,1),(237,1),(251,1),(294,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(17,1),(20,1),(27,1),(58,1),(72,1),(85,1),(134,1),(145,1),(150,1),(245,1),(256,1),(299,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(21,1),(22,1),(25,1),(76,1),(81,1),(149,1),(155,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1),(23,1),(63,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(20,1),(24,1),(25,1),(230,1),(252,1),(295,1)}
        11:{1,3,6}:{(4,1),(15,1),(26,1),(27,1),(300,1)}
        12:{1,2,5}:{(4,1),(16,1),(26,1),(171,1),(294,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(27,1),(30,1),(85,1),(299,1),(301,1)}
        14:{1,2,4,6}:{(5,1),(31,1),(32,1),(33,1),(92,1),(97,1),(180,1),(212,1),(215,1),(216,1)}
        15:{2,3,6}:{(5,1),(11,1),(31,1),(34,1),(35,1),(104,1),(277,1)}
        16:{2,5}:{(5,1),(6,1)}
        17:{2,4,7}:{(5,1),(7,1),(35,1),(38,1),(286,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(36,1),(39,1),(40,1),(43,1),(104,1),(116,1),(196,1),(201,1),(202,1)}
        19:{1,4,5}:{(6,1),(9,1),(37,1),(39,1),(51,1),(92,1),(278,1)}
        20:{1,3,5,7}:{(6,1),(7,1),(10,1),(38,1),(42,1),(43,1),(108,1),(290,1),(324,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(45,1),(46,1)}
        22:{2,3,5,7}:{(8,1),(40,1),(46,1),(47,1),(117,1),(120,1),(197,1),(203,1)}
        23:{3,4,5}:{(9,1),(45,1),(100,1),(184,1),(391,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(42,1),(46,1),(48,1),(49,1),(101,1),(120,1),(191,1)}
        25:{2,3,6}:{(10,1),(43,1),(49,1),(272,1),(291,1),(325,1)}
        26:{1,3,5}:{(11,1),(12,1),(34,1),(51,1)}
        27:{1,3,7}:{(11,1),(13,1),(35,1)}
        28:{1,2,5,6}:{(12,1),(36,1),(50,1),(53,1),(54,1),(56,1),(202,1),(209,1),(266,1),(282,1),(291,1),(323,1),(365,1)}
        29:{1,2,4,5}:{(12,1),(37,1),(51,1),(53,1),(55,1),(115,1),(122,1),(126,1),(200,1),(209,1),(265,1),(323,1),(328,1),(363,1)}
        30:{1,2,5,7}:{(12,1),(13,1),(38,1),(52,1),(56,1),(324,1)}
        31:{1,3,6}:{(14,1),(15,1),(57,1),(58,1),(257,1)}
        32:{1,2,5}:{(14,1),(16,1),(57,1),(224,1),(251,1)}
        33:{1,2,4,7}:{(14,1),(17,1),(58,1),(61,1),(134,1),(256,1),(258,1)}
        34:{2,3,5}:{(15,1),(16,1),(26,1),(57,1),(63,1),(67,1)}
        35:{2,3,7}:{(15,1),(17,1),(27,1),(58,1),(150,1)}
        36:{2,5,6}:{(16,1),(18,1),(65,1),(66,1),(69,1),(244,1)}
        37:{2,4,5}:{(16,1),(19,1),(63,1),(65,1),(67,1)}
        38:{2,5,7}:{(16,1),(17,1),(20,1),(69,1)}
        39:{1,4,6}:{(18,1),(19,1),(21,1),(65,1),(72,1),(247,1)}
        40:{1,3,5,7}:{(18,1),(22,1),(66,1),(72,1),(73,1),(150,1),(160,1),(245,1),(246,1),(248,1)}
        41:{1,3,4,5}:{(19,1),(23,1),(67,1),(71,1),(74,1),(84,1),(133,1),(152,1),(165,1),(218,1),(228,1),(302,1),(350,1)}
        42:{1,4,5,7}:{(19,1),(20,1),(24,1),(68,1),(72,1),(75,1),(85,1),(134,1),(160,1),(171,1),(224,1)}
        43:{1,3,6}:{(20,1),(25,1),(69,1),(75,1),(153,1),(321,1),(348,1)}
        44:{2,4,5,6}:{(21,1),(70,1),(76,1),(77,1),(81,1),(140,1),(155,1),(164,1),(231,1),(312,1),(379,1),(390,1)}
        45:{3,4,6}:{(21,1),(23,1),(76,1),(78,1),(390,1)}
        46:{2,4,7}:{(21,1),(22,1),(72,1),(78,1)}
        47:{2,3,6,7}:{(22,1),(25,1),(73,1),(79,1),(161,1),(249,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(78,1),(80,1),(145,1),(163,1),(230,1),(237,1),(311,1)}
        49:{2,4,6}:{(24,1),(25,1),(75,1),(80,1),(81,1)}
        50:{1,3,5,6}:{(26,1),(28,1),(62,1),(82,1),(83,1),(86,1),(87,1),(165,1),(171,1),(225,1),(253,1),(254,1),(294,1),(346,1),(348,1),(376,1),(388,1)}
        51:{1,4}:{(26,1),(63,1)}
        52:{1,3,5,7}:{(26,1),(27,1),(30,1),(64,1),(85,1),(86,1),(171,1)}
        53:{1,2,4,6}:{(28,1),(29,1),(65,1),(82,1),(87,1),(88,1),(158,1),(167,1),(244,1),(312,1)}
        54:{1,2,5,7}:{(28,1),(66,1),(83,1),(88,1),(89,1),(248,1),(252,1),(301,1),(316,1)}
        55:{1,3,5}:{(29,1),(67,1),(84,1),(87,1),(90,1),(300,1),(350,1)}
        56:{1,2,6}:{(30,1),(69,1),(86,1),(348,1)}
        57:{1,3,5}:{(31,1),(32,1),(34,1),(92,1)}
        58:{1,3,7}:{(31,1),(33,1),(35,1)}
        59:{1,2,5,6}:{(32,1),(36,1),(91,1),(94,1),(95,1),(97,1),(202,1),(216,1),(259,1),(282,1),(289,1),(325,1),(345,1)}
        60:{1,2,4,5}:{(32,1),(37,1),(92,1),(94,1),(96,1),(115,1),(175,1),(179,1),(200,1),(215,1),(259,1),(289,1),(328,1),(343,1)}
        61:{1,2,5,7}:{(32,1),(33,1),(38,1),(93,1),(97,1),(290,1)}
        62:{2,3,5,6}:{(34,1),(36,1),(50,1),(91,1),(98,1),(99,1),(102,1),(104,1),(128,1),(181,1),(184,1),(191,1),(201,1),(209,1),(259,1),(272,1),(273,1),(282,1),(291,1),(325,1),(332,1),(337,1),(371,1),(385,1),(386,1)}
        63:{2,4}:{(34,1),(51,1),(92,1),(100,1)}
        64:{2,3,5,7}:{(34,1),(35,1),(38,1),(52,1),(93,1),(101,1),(102,1),(108,1),(191,1)}
        65:{2,4,6}:{(36,1),(37,1),(39,1),(104,1),(105,1)}
        66:{2,5,7}:{(36,1),(40,1),(105,1),(106,1),(286,1)}
        67:{3,5}:{(37,1),(100,1),(104,1)}
        68:{2,4,5,7}:{(37,1),(38,1),(42,1),(101,1),(105,1),(108,1),(109,1),(191,1),(199,1),(278,1),(287,1)}
        69:{2,6}:{(38,1),(43,1)}
        70:{1,4,5,6}:{(39,1),(44,1),(103,1),(110,1),(111,1),(116,1),(122,1),(175,1),(202,1),(211,1),(261,1),(279,1),(369,1)}
        71:{1,3,4,6}:{(39,1),(41,1),(45,1),(104,1),(110,1),(112,1),(113,1),(192,1),(196,1),(279,1),(337,1)}
        72:{1,4,7}:{(39,1),(40,1),(46,1),(105,1),(287,1)}
        73:{1,3,6,7}:{(40,1),(43,1),(47,1),(106,1),(114,1),(198,1),(288,1)}
        74:{2,4,5}:{(41,1),(107,1),(112,1),(115,1),(126,1),(179,1),(200,1),(209,1),(259,1)}
        75:{1,4,6}:{(42,1),(43,1),(49,1),(109,1),(116,1)}
        76:{3,5,6}:{(44,1),(45,1),(117,1),(184,1),(272,1),(337,1)}
        77:{2,4,5,7}:{(44,1),(46,1),(111,1),(117,1),(118,1),(120,1),(203,1),(208,1),(338,1),(373,1),(387,1)}
        78:{3,4,7}:{(45,1),(46,1),(117,1),(387,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(49,1),(114,1),(119,1),(120,1)}
        80:{3,4,6}:{(48,1),(49,1),(121,1),(272,1),(335,1)}
        81:{2,5,6}:{(49,1),(116,1),(120,1),(121,1),(191,1)}
        82:{1,4,6}:{(50,1),(51,1),(98,1),(122,1),(124,1),(363,1)}
        83:{1,3,5,7}:{(50,1),(54,1),(99,1),(124,1),(125,1),(129,1),(214,1),(267,1),(324,1)}
        84:{1,3,4}:{(51,1),(55,1),(100,1),(126,1),(363,1),(366,1)}
        85:{1,4,7}:{(51,1),(52,1),(101,1),(127,1)}
        86:{1,3,6}:{(52,1),(56,1),(102,1),(127,1)}
        87:{1,3,6}:{(53,1),(55,1),(104,1),(128,1),(129,1),(337,1)}
        88:{1,2,4,7}:{(53,1),(54,1),(105,1),(124,1),(129,1),(206,1),(213,1),(286,1),(338,1)}
        89:{1,2,6,7}:{(54,1),(56,1),(106,1),(125,1),(288,1),(291,1),(342,1),(365,1)}
        90:{2,3,5}:{(55,1),(126,1),(128,1),(130,1),(200,1),(209,1),(277,1)}
        91:{1,3,5,6}:{(57,1),(59,1),(62,1),(131,1),(132,1),(135,1),(136,1),(172,1),(218,1),(224,1),(251,1),(296,1),(297,1),(319,1),(321,1),(362,1),(382,1)}
        92:{1,4}:{(57,1),(63,1)}
        93:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(134,1),(135,1),(224,1)}
        94:{1,2,4,6}:{(59,1),(60,1),(65,1),(131,1),(136,1),(137,1),(158,1),(220,1),(244,1),(312,1)}
        95:{1,2,5,7}:{(59,1),(66,1),(132,1),(137,1),(138,1),(248,1),(258,1),(295,1),(316,1)}
        96:{1,3,5}:{(60,1),(67,1),(133,1),(136,1),(139,1),(257,1),(350,1)}
        97:{1,2,6}:{(61,1),(69,1),(135,1),(321,1)}
        98:{2,4,6}:{(62,1),(63,1),(82,1),(131,1),(140,1),(141,1),(142,1),(247,1),(355,1),(390,1)}
        99:{2,3,5,7}:{(62,1),(66,1),(83,1),(132,1),(142,1),(143,1),(150,1),(173,1),(226,1),(230,1),(235,1),(246,1),(252,1),(295,1),(316,1),(358,1),(381,1)}
       100:{3,4}:{(63,1),(67,1)}
       101:{2,4,7}:{(63,1),(64,1),(85,1),(134,1),(145,1),(146,1)}
       102:{2,3,6}:{(64,1),(69,1),(86,1),(135,1),(146,1),(153,1)}
       103:{2,4,5,6}:{(65,1),(70,1),(140,1),(147,1),(148,1),(154,1),(155,1),(231,1),(238,1),(247,1),(353,1),(354,1)}
       104:{3,6}:{(65,1),(67,1),(150,1)}
       105:{2,4,7}:{(65,1),(66,1),(72,1),(150,1)}
       106:{2,6,7}:{(66,1),(69,1),(73,1)}
       107:{2,3,5}:{(67,1),(74,1),(144,1),(149,1),(152,1),(350,1)}
       108:{3,5,7}:{(67,1),(68,1),(145,1),(150,1),(153,1),(237,1)}
       109:{2,4,6}:{(68,1),(69,1),(75,1),(153,1),(154,1),(247,1)}
       110:{1,3,5,6}:{(70,1),(71,1),(76,1),(147,1),(155,1),(156,1),(165,1),(218,1),(253,1),(296,1)}
       111:{1,4,5,7}:{(70,1),(72,1),(77,1),(148,1),(156,1),(157,1),(160,1),(248,1),(313,1),(360,1)}
       112:{2,4,6}:{(71,1),(74,1),(149,1),(155,1),(158,1),(159,1),(244,1)}
       113:{1,3,4,7}:{(71,1),(72,1),(78,1),(150,1),(156,1),(159,1),(239,1),(245,1),(313,1),(358,1)}
       114:{1,4,6,7}:{(72,1),(73,1),(75,1),(79,1),(151,1),(160,1)}
       115:{1,4,5}:{(74,1),(152,1),(158,1),(170,1),(223,1),(251,1),(294,1)}
       116:{1,5,6}:{(75,1),(81,1),(154,1),(160,1),(171,1),(224,1)}
       117:{3,5,7}:{(76,1),(77,1),(78,1),(161,1),(358,1)}
       118:{2,4,6,7}:{(77,1),(157,1),(161,1),(162,1),(231,1),(249,1),(250,1)}
       119:{3,4,6,7}:{(78,1),(79,1),(80,1),(161,1),(163,1),(250,1)}
       120:{2,5,7}:{(79,1),(81,1),(160,1),(163,1)}
       121:{3,5,6}:{(80,1),(81,1),(163,1),(164,1),(237,1)}
       122:{1,4,5}:{(82,1),(140,1),(165,1),(171,1),(294,1),(388,1)}
       123:{1,3,4,6}:{(82,1),(84,1),(87,1),(141,1),(165,1),(167,1),(168,1),(253,1)}
       124:{1,4,7}:{(82,1),(83,1),(142,1)}
       125:{1,3,6,7}:{(83,1),(86,1),(89,1),(143,1),(169,1),(253,1),(348,1),(376,1)}
       126:{2,4}:{(84,1),(90,1),(170,1)}
       127:{1,4,6}:{(85,1),(86,1),(146,1),(171,1)}
       128:{2,3,6}:{(87,1),(90,1),(167,1),(172,1),(173,1),(244,1)}
       129:{1,3,7}:{(87,1),(88,1),(150,1),(173,1),(358,1)}
       130:{1,3,5}:{(90,1),(170,1),(172,1),(174,1),(251,1),(257,1)}
       131:{1,4,6}:{(91,1),(92,1),(98,1),(175,1),(177,1),(343,1)}
       132:{1,3,5,7}:{(91,1),(95,1),(99,1),(177,1),(178,1),(182,1),(217,1),(264,1),(290,1)}
       133:{1,3,4}:{(92,1),(96,1),(100,1),(179,1),(343,1),(366,1)}
       134:{1,4,7}:{(92,1),(93,1),(101,1),(180,1)}
       135:{1,3,6}:{(93,1),(97,1),(102,1),(180,1)}
       136:{1,3,6}:{(94,1),(96,1),(104,1),(181,1),(182,1),(337,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(105,1),(177,1),(182,1),(206,1),(263,1),(286,1),(338,1)}
       138:{1,2,6,7}:{(95,1),(97,1),(106,1),(178,1),(288,1),(325,1),(342,1),(345,1)}
       139:{2,3,5}:{(96,1),(179,1),(181,1),(183,1),(200,1),(259,1),(277,1)}
       140:{2,4,5}:{(98,1),(122,1),(175,1),(184,1),(191,1),(209,1),(259,1),(278,1),(386,1),(391,1)}
       141:{3,4,6}:{(98,1),(100,1),(104,1),(184,1),(187,1),(272,1),(337,1),(366,1)}
       142:{2,4,7}:{(98,1),(99,1),(124,1),(177,1),(187,1),(287,1),(387,1)}
       143:{2,3,6,7}:{(99,1),(102,1),(106,1),(125,1),(178,1),(188,1),(198,1),(272,1),(291,1),(325,1),(342,1),(371,1),(372,1)}
       144:{2,3,4}:{(100,1),(107,1),(126,1),(179,1),(189,1),(277,1),(366,1)}
       145:{3,4,7}:{(100,1),(101,1),(108,1),(190,1),(287,1)}
       146:{2,4,6}:{(101,1),(102,1),(127,1),(180,1),(190,1),(191,1)}
       147:{3,5,6}:{(103,1),(104,1),(184,1),(192,1),(194,1),(272,1)}
       148:{2,4,5,7}:{(103,1),(105,1),(111,1),(194,1),(195,1),(199,1),(203,1),(280,1),(287,1),(340,1),(341,1)}
       149:{2,3,6}:{(104,1),(107,1),(112,1),(196,1),(197,1),(337,1)}
       150:{3,7}:{(104,1),(105,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(198,1),(199,1),(287,1)}
       152:{1,3,5}:{(107,1),(115,1),(189,1),(196,1),(200,1)}
       153:{3,6}:{(108,1),(109,1)}
       154:{2,5,6}:{(109,1),(116,1),(191,1),(199,1),(201,1)}
       155:{2,5,6}:{(110,1),(112,1),(202,1),(203,1),(209,1),(259,1),(291,1),(325,1)}
       156:{1,3,5,7}:{(110,1),(111,1),(113,1),(117,1),(194,1),(203,1),(204,1)}
       157:{1,4,6,7}:{(111,1),(118,1),(195,1),(204,1),(205,1),(211,1),(261,1),(288,1)}
       158:{1,4,6}:{(112,1),(115,1),(196,1),(202,1),(206,1)}
       159:{2,4,7}:{(112,1),(113,1),(197,1),(203,1),(206,1),(286,1)}
       160:{1,5,7}:{(114,1),(116,1),(120,1),(199,1)}
       161:{3,6,7}:{(117,1),(118,1),(272,1)}
       162:{2,5,6,7}:{(118,1),(120,1),(205,1),(207,1),(273,1),(373,1)}
       163:{3,5,7}:{(119,1),(120,1),(121,1),(208,1)}
       164:{4,5,6}:{(121,1),(208,1),(278,1),(335,1)}
       165:{1,3,5}:{(122,1),(123,1),(184,1),(209,1)}
       166:{1,4,5,7}:{(122,1),(124,1),(185,1),(210,1),(211,1),(214,1),(324,1)}
       167:{2,4,6}:{(123,1),(126,1),(128,1),(209,1),(212,1),(213,1),(291,1)}
       168:{1,3,4,7}:{(123,1),(124,1),(129,1),(187,1),(210,1),(213,1)}
       169:{1,4,6,7}:{(124,1),(125,1),(127,1),(188,1),(211,1),(214,1),(383,1)}
       170:{1,4}:{(126,1),(130,1)}
       171:{1,5}:{(127,1),(191,1)}
       172:{1,3,6}:{(128,1),(130,1),(212,1),(216,1),(217,1)}
       173:{2,3,7}:{(128,1),(129,1),(213,1),(217,1),(286,1)}
       174:{1,2,5}:{(130,1),(200,1),(215,1),(216,1)}
       175:{1,4,5}:{(131,1),(140,1),(218,1),(224,1),(251,1),(382,1)}
       176:{1,3,4,6}:{(131,1),(133,1),(136,1),(141,1),(218,1),(220,1),(221,1),(296,1)}
       177:{1,4,7}:{(131,1),(132,1),(142,1)}
       178:{1,3,6,7}:{(132,1),(135,1),(138,1),(143,1),(222,1),(296,1),(321,1),(362,1)}
       179:{2,4}:{(133,1),(139,1),(223,1)}
       180:{1,4,6}:{(134,1),(135,1),(146,1),(224,1)}
       181:{2,3,6}:{(136,1),(139,1),(220,1),(225,1),(226,1),(244,1)}
       182:{1,3,7}:{(136,1),(137,1),(150,1),(226,1),(358,1)}
       183:{1,3,5}:{(139,1),(223,1),(225,1),(227,1),(294,1),(300,1)}
       184:{3,5}:{(140,1),(141,1)}
       185:{2,4,5,7}:{(140,1),(142,1),(166,1),(219,1),(230,1),(231,1),(235,1),(252,1),(295,1),(311,1)}
       186:{2,3,4,6}:{(141,1),(144,1),(149,1),(167,1),(220,1),(229,1),(232,1),(233,1),(238,1),(307,1),(309,1),(355,1),(380,1)}
       187:{3,4,7}:{(141,1),(142,1),(150,1),(230,1),(358,1)}
       188:{2,4,6,7}:{(142,1),(143,1),(146,1),(169,1),(222,1),(231,1),(234,1),(235,1),(380,1)}
       189:{1,3,4}:{(144,1),(152,1),(170,1),(223,1),(236,1),(257,1),(300,1)}
       190:{3,4,6}:{(145,1),(146,1),(153,1),(237,1),(247,1)}
       191:{2,5}:{(146,1),(171,1),(224,1),(237,1)}
       192:{3,4,6}:{(147,1),(228,1),(238,1),(239,1),(247,1)}
       193:{2,3,5,6}:{(147,1),(149,1),(155,1),(229,1),(238,1),(240,1),(241,1),(307,1),(353,1)}
       194:{3,5,7}:{(147,1),(148,1),(150,1),(239,1),(242,1)}
       195:{2,4,6,7}:{(148,1),(157,1),(231,1),(242,1),(243,1),(249,1),(318,1)}
       196:{1,3,6}:{(149,1),(152,1),(158,1),(244,1),(245,1)}
       197:{2,3,7}:{(149,1),(150,1),(159,1),(245,1),(358,1)}
       198:{3,6,7}:{(150,1),(151,1),(153,1),(246,1)}
       199:{2,5,7}:{(151,1),(154,1),(160,1),(246,1)}
       200:{2,5}:{(152,1),(236,1),(244,1)}
       201:{3,5,6}:{(153,1),(154,1),(237,1),(246,1),(247,1)}
       202:{1,5,6}:{(155,1),(158,1),(248,1),(251,1),(294,1),(321,1),(348,1)}
       203:{2,5,7}:{(155,1),(156,1),(159,1),(248,1),(249,1)}
       204:{1,3,6,7}:{(156,1),(157,1),(161,1),(242,1),(249,1),(253,1),(296,1)}
       205:{1,5,6,7}:{(157,1),(160,1),(162,1),(243,1),(254,1),(297,1),(360,1)}
       206:{1,4,7}:{(158,1),(159,1),(245,1),(248,1)}
       207:{3,5,6,7}:{(161,1),(162,1),(163,1),(250,1),(308,1),(381,1)}
       208:{4,5,7}:{(163,1),(164,1),(250,1)}
       209:{2,5}:{(165,1),(167,1),(251,1)}
       210:{1,3,5,7}:{(165,1),(166,1),(168,1),(230,1),(252,1),(253,1)}
       211:{1,4,6}:{(166,1),(231,1),(253,1),(254,1),(348,1)}
       212:{1,4,6}:{(167,1),(170,1),(172,1),(251,1),(256,1),(321,1)}
       213:{2,4,7}:{(167,1),(168,1),(173,1),(252,1),(256,1)}
       214:{1,5,7}:{(169,1),(171,1),(235,1),(254,1),(388,1)}
       215:{1,2,4}:{(170,1),(174,1),(236,1),(257,1)}
       216:{1,2,6}:{(172,1),(174,1),(244,1),(258,1)}
       217:{1,3,7}:{(172,1),(173,1),(256,1),(258,1)}
       218:{1,3,5}:{(175,1),(176,1),(184,1),(259,1)}
       219:{1,4,5,7}:{(175,1),(177,1),(185,1),(260,1),(261,1),(264,1),(290,1)}
       220:{2,4,6}:{(176,1),(179,1),(181,1),(259,1),(262,1),(263,1),(325,1)}
       221:{1,3,4,7}:{(176,1),(177,1),(182,1),(187,1),(260,1),(263,1)}
       222:{1,4,6,7}:{(177,1),(178,1),(180,1),(188,1),(261,1),(264,1),(374,1)}
       223:{1,4}:{(179,1),(183,1)}
       224:{1,5}:{(180,1),(191,1)}
       225:{1,3,6}:{(181,1),(183,1),(262,1),(266,1),(267,1)}
       226:{2,3,7}:{(181,1),(182,1),(263,1),(267,1),(286,1)}
       227:{1,2,5}:{(183,1),(200,1),(265,1),(266,1)}
       228:{3,4,5}:{(184,1),(192,1),(268,1),(278,1),(366,1)}
       229:{2,3,5}:{(184,1),(186,1),(209,1),(259,1),(268,1),(270,1),(386,1)}
       230:{3,5,7}:{(184,1),(185,1),(187,1),(272,1)}
       231:{2,4,6}:{(185,1),(211,1),(261,1),(272,1),(273,1),(291,1),(325,1),(335,1)}
       232:{1,3,4,6}:{(186,1),(189,1),(196,1),(212,1),(262,1),(270,1),(274,1),(275,1),(279,1),(292,1),(326,1),(334,1),(337,1),(343,1),(363,1),(366,1),(374,1),(383,1),(384,1)}
       233:{2,3,4,7}:{(186,1),(187,1),(197,1),(213,1),(263,1),(271,1),(275,1),(280,1),(336,1),(370,1)}
       234:{3,4,6,7}:{(187,1),(188,1),(190,1),(198,1),(272,1),(276,1),(287,1),(335,1),(372,1),(384,1),(387,1)}
       235:{2,5,7}:{(188,1),(191,1),(214,1),(264,1),(273,1),(276,1),(386,1)}
       236:{2,4}:{(189,1),(200,1),(277,1)}
       237:{3,5}:{(190,1),(191,1),(278,1)}
       238:{2,4,6}:{(192,1),(193,1),(268,1),(279,1),(280,1)}
       239:{3,4,7}:{(192,1),(194,1),(280,1),(287,1)}
       240:{1,3,5,6}:{(193,1),(196,1),(202,1),(270,1),(279,1),(282,1),(283,1),(334,1),(337,1),(369,1),(385,1)}
       241:{2,3,5,7}:{(193,1),(194,1),(197,1),(203,1),(280,1),(283,1),(284,1),(340,1)}
       242:{3,6,7}:{(194,1),(195,1),(272,1)}
       243:{2,5,6,7}:{(195,1),(199,1),(205,1),(273,1),(285,1),(340,1)}
       244:{2,6}:{(196,1),(200,1),(286,1)}
       245:{1,3,7}:{(196,1),(197,1),(206,1),(286,1)}
       246:{3,5,7}:{(198,1),(199,1),(201,1),(287,1)}
       247:{4,6}:{(201,1),(278,1),(287,1)}
       248:{1,5,7}:{(202,1),(203,1),(206,1),(288,1)}
       249:{2,6,7}:{(203,1),(204,1),(288,1),(291,1),(325,1)}
       250:{4,6,7}:{(207,1),(208,1),(335,1),(387,1)}
       251:{1,5}:{(209,1),(212,1)}
       252:{2,5,7}:{(209,1),(210,1),(213,1),(290,1),(291,1)}
       253:{1,3,6}:{(210,1),(211,1),(272,1),(291,1)}
       254:{1,5,6}:{(211,1),(214,1),(273,1)}
       255:{1,2,4,6}:{(212,1),(215,1),(216,1),(274,1),(289,1),(292,1),(293,1),(343,1),(345,1),(374,1)}
       256:{1,4,7}:{(212,1),(213,1),(217,1),(290,1)}
       257:{1,3}:{(215,1),(277,1)}
       258:{1,2,7}:{(216,1),(217,1),(286,1)}
       259:{2,5}:{(218,1),(220,1),(294,1)}
       260:{1,3,5,7}:{(218,1),(219,1),(221,1),(230,1),(295,1),(296,1)}
       261:{1,4,6}:{(219,1),(231,1),(296,1),(297,1),(321,1)}
       262:{1,4,6}:{(220,1),(223,1),(225,1),(294,1),(299,1),(348,1)}
       263:{2,4,7}:{(220,1),(221,1),(226,1),(295,1),(299,1)}
       264:{1,5,7}:{(222,1),(224,1),(235,1),(297,1),(382,1)}
       265:{1,2,4}:{(223,1),(227,1),(236,1),(300,1)}
       266:{1,2,6}:{(225,1),(227,1),(244,1),(301,1)}
       267:{1,3,7}:{(225,1),(226,1),(299,1),(301,1)}
       268:{2,4,5}:{(228,1),(229,1),(238,1),(302,1),(355,1)}
       269:{3,4,5,7}:{(228,1),(230,1),(239,1),(303,1),(304,1),(311,1),(315,1),(377,1),(389,1)}
       270:{1,3,5}:{(229,1),(232,1),(251,1),(294,1),(302,1),(305,1),(350,1),(382,1),(388,1),(389,1)}
       271:{2,3,5,7}:{(229,1),(230,1),(233,1),(252,1),(295,1),(303,1),(306,1),(307,1)}
       272:{3,6}:{(230,1),(231,1)}
       273:{2,5,6}:{(231,1),(235,1),(254,1),(297,1),(308,1)}
       274:{2,4,6}:{(232,1),(236,1),(244,1),(305,1),(309,1),(310,1),(355,1),(357,1)}
       275:{1,3,4,7}:{(232,1),(233,1),(245,1),(256,1),(299,1),(306,1),(310,1),(313,1),(322,1),(349,1),(358,1),(361,1),(375,1),(377,1)}
       276:{3,5,7}:{(234,1),(235,1),(237,1),(308,1),(311,1),(389,1)}
       277:{2,3}:{(236,1),(257,1),(300,1)}
       278:{4,5}:{(237,1),(247,1)}
       279:{1,4,6}:{(238,1),(240,1),(302,1),(312,1),(313,1),(390,1)}
       280:{2,4,7}:{(238,1),(239,1),(241,1),(313,1)}
       281:{3,4,6,7}:{(239,1),(242,1),(304,1),(314,1),(315,1),(318,1)}
       282:{2,5,6}:{(240,1),(244,1),(305,1),(312,1),(316,1),(357,1)}
       283:{1,3,5,7}:{(240,1),(241,1),(245,1),(248,1),(313,1),(316,1),(317,1),(358,1),(360,1),(381,1)}
       284:{2,3,6,7}:{(241,1),(242,1),(249,1),(307,1),(314,1),(317,1)}
       285:{3,5,6,7}:{(242,1),(243,1),(246,1),(308,1),(315,1),(318,1)}
       286:{2,7}:{(244,1),(245,1)}
       287:{4,7}:{(246,1),(247,1)}
       288:{1,6,7}:{(248,1),(249,1),(321,1),(348,1)}
       289:{1,2,5}:{(251,1),(255,1),(305,1),(319,1),(382,1)}
       290:{1,5,7}:{(251,1),(252,1),(256,1),(321,1)}
       291:{2,6}:{(252,1),(253,1),(321,1)}
       292:{1,3,6}:{(255,1),(257,1),(309,1),(319,1),(322,1)}
       293:{1,2,4,7}:{(255,1),(256,1),(258,1),(310,1),(320,1),(322,1),(361,1)}
       294:{1,5}:{(259,1),(262,1)}
       295:{2,5,7}:{(259,1),(260,1),(263,1),(324,1),(325,1)}
       296:{1,3,6}:{(260,1),(261,1),(272,1),(325,1)}
       297:{1,5,6}:{(261,1),(264,1),(273,1)}
       298:{1,2,4,6}:{(262,1),(265,1),(266,1),(274,1),(323,1),(326,1),(327,1),(363,1),(365,1),(383,1)}
       299:{1,4,7}:{(262,1),(263,1),(267,1),(324,1)}
       300:{1,3}:{(265,1),(277,1)}
       301:{1,2,7}:{(266,1),(267,1),(286,1)}
       302:{1,4,5}:{(268,1),(270,1),(279,1),(328,1),(343,1),(363,1),(391,1)}
       303:{2,4,5,7}:{(268,1),(269,1),(271,1),(280,1),(329,1),(330,1),(340,1),(370,1),(386,1)}
       304:{3,4,6}:{(269,1),(272,1),(330,1),(331,1),(335,1)}
       305:{2,5}:{(270,1),(274,1)}
       306:{1,3,5,7}:{(270,1),(271,1),(275,1),(290,1),(324,1),(329,1),(333,1),(334,1),(367,1)}
       307:{2,3,6}:{(271,1),(272,1),(291,1),(325,1),(330,1),(334,1)}
       308:{3,5,6}:{(272,1),(273,1),(276,1),(335,1)}
       309:{2,3,6}:{(274,1),(277,1),(292,1),(326,1),(332,1),(336,1),(337,1)}
       310:{2,4,7}:{(274,1),(275,1),(286,1),(333,1),(336,1)}
       311:{4,5,7}:{(276,1),(278,1),(287,1),(335,1),(387,1),(391,1)}
       312:{2,4,6}:{(279,1),(282,1),(328,1),(337,1),(338,1)}
       313:{1,4,7}:{(279,1),(280,1),(283,1),(338,1),(387,1)}
       314:{2,4,6,7}:{(280,1),(281,1),(284,1),(330,1),(339,1),(340,1)}
       315:{3,5,7}:{(281,1),(331,1),(340,1),(341,1)}
       316:{2,5,7}:{(282,1),(283,1),(286,1),(338,1),(342,1)}
       317:{1,3,6,7}:{(283,1),(284,1),(288,1),(334,1),(339,1),(342,1),(372,1)}
       318:{4,6,7}:{(285,1),(287,1),(335,1),(341,1)}
       319:{1,3,5}:{(289,1),(292,1),(332,1),(343,1)}
       320:{1,2,5,7}:{(289,1),(290,1),(293,1),(333,1),(344,1),(345,1)}
       321:{1,6}:{(290,1),(291,1)}
       322:{1,3,7}:{(292,1),(293,1),(336,1)}
       323:{1,2,5}:{(294,1),(298,1),(305,1),(346,1),(388,1)}
       324:{1,5,7}:{(294,1),(295,1),(299,1),(348,1)}
       325:{2,6}:{(295,1),(296,1),(348,1)}
       326:{1,3,6}:{(298,1),(300,1),(309,1),(346,1),(349,1)}
       327:{1,2,4,7}:{(298,1),(299,1),(301,1),(310,1),(347,1),(349,1),(375,1)}
       328:{2,4,5}:{(302,1),(305,1),(312,1),(350,1),(355,1)}
       329:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(351,1),(352,1),(360,1),(361,1),(375,1),(382,1),(388,1)}
       330:{2,4,6}:{(303,1),(304,1),(307,1),(352,1),(353,1)}
       331:{3,5,6}:{(304,1),(315,1),(353,1),(354,1),(389,1)}
       332:{2,3,5}:{(305,1),(309,1),(319,1),(346,1),(350,1),(355,1)}
       333:{2,5,7}:{(305,1),(306,1),(310,1),(357,1)}
       334:{1,3,6}:{(306,1),(307,1),(321,1),(348,1),(352,1),(357,1),(378,1)}
       335:{4,6}:{(308,1),(311,1)}
       336:{2,3,7}:{(309,1),(310,1),(322,1),(349,1),(358,1)}
       337:{3,6}:{(312,1),(350,1),(358,1)}
       338:{2,4,7}:{(312,1),(313,1),(316,1),(358,1)}
       339:{1,4,6,7}:{(313,1),(314,1),(317,1),(352,1),(359,1),(360,1)}
       340:{2,5,7}:{(314,1),(315,1),(353,1),(360,1)}
       341:{4,5,7}:{(315,1),(318,1),(354,1)}
       342:{2,6,7}:{(316,1),(317,1),(357,1)}
       343:{1,4}:{(319,1),(355,1)}
       344:{1,3,5,7}:{(319,1),(320,1),(322,1),(356,1),(361,1),(362,1),(382,1)}
       345:{1,2,6}:{(320,1),(321,1),(357,1),(362,1)}
       346:{1,3,5}:{(323,1),(326,1),(332,1),(363,1)}
       347:{1,2,5,7}:{(323,1),(324,1),(327,1),(333,1),(364,1),(365,1)}
       348:{1,6}:{(324,1),(325,1)}
       349:{1,3,7}:{(326,1),(327,1),(336,1)}
       350:{3,5}:{(328,1),(337,1),(366,1)}
       351:{2,4,5,7}:{(328,1),(329,1),(333,1),(338,1),(367,1),(368,1),(370,1),(373,1),(386,1),(387,1),(391,1)}
       352:{1,4,6}:{(329,1),(330,1),(334,1),(368,1),(369,1)}
       353:{2,5,6}:{(330,1),(331,1),(340,1),(369,1),(386,1)}
       354:{4,5,6}:{(331,1),(335,1),(341,1),(391,1)}
       355:{2,4}:{(332,1),(343,1),(363,1),(366,1)}
       356:{2,3,5,7}:{(332,1),(333,1),(336,1),(344,1),(364,1),(367,1),(370,1),(371,1),(386,1)}
       357:{2,6}:{(333,1),(334,1)}
       358:{3,7}:{(337,1),(338,1)}
       359:{2,4,6,7}:{(338,1),(339,1),(342,1),(368,1),(372,1),(373,1),(387,1)}
       360:{1,5,7}:{(339,1),(340,1),(369,1),(373,1)}
       361:{1,4,7}:{(343,1),(344,1),(370,1),(374,1)}
       362:{1,3,6}:{(344,1),(345,1),(371,1),(374,1)}
       363:{1,4}:{(346,1),(355,1)}
       364:{1,3,5,7}:{(346,1),(347,1),(349,1),(356,1),(375,1),(376,1),(388,1)}
       365:{1,2,6}:{(347,1),(348,1),(357,1),(376,1)}
       366:{3,4}:{(350,1),(355,1)}
       367:{3,5,7}:{(350,1),(351,1),(358,1),(377,1),(378,1),(389,1)}
       368:{2,4,6}:{(351,1),(352,1),(357,1),(378,1),(379,1),(390,1)}
       369:{1,5,6}:{(352,1),(353,1),(360,1),(379,1),(382,1),(388,1)}
       370:{2,4,7}:{(355,1),(356,1),(361,1),(375,1),(377,1),(380,1)}
       371:{2,3,6}:{(356,1),(357,1),(362,1),(376,1),(378,1),(380,1)}
       372:{3,6,7}:{(358,1),(359,1),(378,1),(381,1)}
       373:{2,5,7}:{(359,1),(360,1),(379,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(380,1),(382,1)}
       375:{1,4,7}:{(363,1),(364,1),(370,1),(383,1)}
       376:{1,3,6}:{(364,1),(365,1),(371,1),(383,1)}
       377:{3,4,7}:{(366,1),(367,1),(370,1),(384,1),(387,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{2,5,6}:{(368,1),(369,1),(373,1),(385,1),(386,1)}
       380:{2,4,6}:{(370,1),(371,1),(374,1),(383,1),(384,1),(386,1)}
       381:{3,5,7}:{(372,1),(373,1),(385,1),(387,1)}
       382:{1,5}:{(374,1),(386,1)}
       383:{1,4,6}:{(375,1),(376,1),(380,1),(388,1)}
       384:{3,4,6}:{(377,1),(378,1),(380,1),(389,1),(390,1)}
       385:{3,5,6}:{(378,1),(379,1),(381,1),(389,1),(390,1)}
       386:{2,5}:{(380,1),(382,1),(388,1),(389,1)}
       387:{4,7}:{(381,1),(390,1)}
       388:{1,5}:{(383,1),(386,1)}
       389:{3,5}:{(384,1),(386,1),(391,1)}
       390:{4,6}:{(385,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 507 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(15,1),(58,1),(75,1),(210,1),(219,1),(229,1),(272,1)}
         1:{1,3,4,7}:{(0,1),(5,1),(6,1),(7,1),(11,1),(30,1),(48,1),(84,1),(90,1),(103,1),(178,1),(258,1),(265,1),(303,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(247,1),(263,1),(301,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(34,1),(46,1),(91,1),(94,1),(171,1),(172,1),(179,1),(192,1),(238,1)}
         4:{1,2,4,7}:{(5,1),(11,1),(12,1),(13,1),(48,1),(303,1),(306,1)}
         5:{2,4,7}:{(1,1),(15,1),(16,1),(17,1),(293,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(16,1),(18,1),(19,1),(20,1),(61,1),(296,1),(327,1)}
         7:{1,3,4,6}:{(1,1),(3,1),(17,1),(19,1),(20,1),(27,1),(55,1),(69,1),(77,1),(80,1),(120,1),(123,1),(127,1),(132,1),(138,1),(212,1),(220,1),(230,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(21,1),(22,1),(25,1),(58,1),(73,1),(75,1),(129,1)}
         9:{2,3,6}:{(2,1),(19,1),(22,1),(280,1),(295,1),(326,1)}
        10:{2,3,5}:{(3,1),(20,1),(25,1),(129,1),(209,1),(228,1),(271,1)}
        11:{1,3,7}:{(4,1),(15,1),(27,1)}
        12:{1,2,5,7}:{(4,1),(16,1),(26,1),(28,1),(29,1),(327,1)}
        13:{1,2,4,6}:{(4,1),(17,1),(27,1),(28,1),(29,1),(77,1),(80,1),(273,1),(274,1),(276,1)}
        14:{1,2,4,7}:{(5,1),(30,1),(31,1),(32,1),(84,1),(265,1),(268,1)}
        15:{2,3,7}:{(5,1),(11,1),(30,1),(34,1),(178,1)}
        16:{2,5,7}:{(5,1),(6,1),(36,1),(37,1)}
        17:{2,4,6}:{(5,1),(7,1),(34,1),(36,1),(37,1),(94,1),(251,1),(259,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(35,1),(38,1),(41,1),(48,1),(84,1),(101,1),(103,1),(113,1),(159,1)}
        19:{1,3,6}:{(6,1),(9,1),(36,1),(38,1),(95,1),(322,1),(347,1)}
        20:{1,3,5}:{(7,1),(10,1),(37,1),(41,1),(100,1),(113,1),(159,1),(167,1),(264,1),(302,1)}
        21:{3,4,5,7}:{(8,1),(42,1),(47,1),(90,1),(106,1),(111,1),(167,1),(244,1),(247,1)}
        22:{2,4,6}:{(8,1),(9,1),(38,1),(42,1),(44,1)}
        23:{2,3,6,7}:{(9,1),(39,1),(43,1),(45,1),(187,1),(260,1)}
        24:{2,3,5,6}:{(9,1),(10,1),(40,1),(44,1),(45,1),(46,1),(110,1),(179,1),(183,1)}
        25:{2,4,5}:{(10,1),(41,1),(46,1),(47,1),(94,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(33,1),(48,1),(49,1),(50,1),(113,1)}
        27:{1,3,6}:{(11,1),(13,1),(34,1),(50,1),(305,1)}
        28:{1,2,6}:{(12,1),(36,1),(49,1),(347,1)}
        29:{1,2,5}:{(13,1),(37,1),(50,1),(113,1),(302,1)}
        30:{1,3,7}:{(14,1),(15,1),(55,1)}
        31:{1,2,5,7}:{(14,1),(16,1),(54,1),(56,1),(57,1),(296,1)}
        32:{1,2,4,6}:{(14,1),(17,1),(55,1),(56,1),(57,1),(120,1),(123,1),(230,1),(231,1),(233,1)}
        33:{2,3,5,7}:{(15,1),(16,1),(26,1),(54,1),(58,1),(59,1),(60,1),(61,1),(129,1)}
        34:{2,3,6}:{(15,1),(17,1),(27,1),(55,1),(60,1),(138,1),(285,1)}
        35:{2,4,5,7}:{(16,1),(18,1),(58,1),(61,1),(62,1),(65,1),(129,1),(135,1),(137,1),(206,1),(214,1)}
        36:{2,6}:{(16,1),(19,1)}
        37:{2,5}:{(17,1),(20,1)}
        38:{1,4,6}:{(18,1),(19,1),(22,1),(62,1),(67,1)}
        39:{1,3,6,7}:{(19,1),(23,1),(63,1),(66,1),(68,1),(133,1),(294,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(24,1),(64,1),(67,1),(68,1),(69,1),(134,1),(138,1),(220,1),(224,1)}
        41:{1,4,5}:{(20,1),(25,1),(65,1),(69,1),(80,1),(123,1),(206,1)}
        42:{3,4,6}:{(21,1),(22,1),(72,1),(277,1),(280,1)}
        43:{2,4,6,7}:{(22,1),(23,1),(66,1),(71,1),(73,1),(75,1)}
        44:{2,5,6}:{(22,1),(67,1),(72,1),(73,1),(129,1)}
        45:{2,3,5,7}:{(23,1),(24,1),(68,1),(73,1),(75,1),(149,1),(219,1),(223,1)}
        46:{2,4,6}:{(24,1),(25,1),(69,1),(75,1),(76,1)}
        47:{3,4,5}:{(25,1),(76,1),(132,1),(209,1),(391,1)}
        48:{1,4,7}:{(26,1),(58,1),(77,1),(80,1)}
        49:{1,3,6}:{(26,1),(28,1),(59,1),(77,1)}
        50:{1,3,5}:{(27,1),(29,1),(60,1),(80,1)}
        51:{1,2,6,7}:{(28,1),(63,1),(78,1),(81,1),(294,1),(295,1),(343,1),(363,1)}
        52:{1,2,5,6}:{(28,1),(29,1),(64,1),(79,1),(81,1),(82,1),(224,1),(228,1),(276,1),(292,1),(295,1),(328,1),(363,1)}
        53:{1,2,4,5}:{(29,1),(65,1),(80,1),(82,1),(83,1),(145,1),(151,1),(154,1),(221,1),(228,1),(274,1),(328,1),(334,1),(365,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(84,1),(85,1),(86,1),(159,1)}
        55:{1,3,6}:{(30,1),(32,1),(34,1),(86,1),(267,1)}
        56:{1,2,6}:{(31,1),(36,1),(85,1),(322,1)}
        57:{1,2,5}:{(32,1),(37,1),(86,1),(159,1),(264,1)}
        58:{2,4,7}:{(33,1),(48,1),(84,1),(90,1),(91,1),(94,1)}
        59:{2,3,6}:{(33,1),(36,1),(49,1),(85,1),(91,1),(95,1)}
        60:{2,3,5}:{(34,1),(37,1),(50,1),(86,1),(94,1),(100,1)}
        61:{3,5,7}:{(35,1),(90,1),(95,1),(100,1),(167,1),(178,1)}
        62:{2,4,6}:{(35,1),(36,1),(38,1),(95,1),(97,1),(174,1)}
        63:{2,6,7}:{(36,1),(39,1),(98,1)}
        64:{2,5,6}:{(36,1),(37,1),(40,1),(98,1),(99,1),(259,1)}
        65:{2,4,5}:{(37,1),(41,1),(94,1),(99,1),(100,1)}
        66:{1,4,6,7}:{(38,1),(39,1),(43,1),(96,1),(101,1),(103,1)}
        67:{1,5,6}:{(38,1),(44,1),(97,1),(101,1),(113,1),(159,1)}
        68:{1,3,5,7}:{(39,1),(40,1),(45,1),(98,1),(101,1),(103,1),(173,1),(178,1),(258,1),(261,1)}
        69:{1,4,6}:{(40,1),(41,1),(46,1),(99,1),(103,1),(174,1)}
        70:{1,3,4,5}:{(41,1),(47,1),(100,1),(104,1),(105,1),(116,1),(162,1),(180,1),(190,1),(236,1),(245,1),(310,1),(354,1)}
        71:{3,4,6,7}:{(42,1),(43,1),(106,1),(111,1),(186,1),(187,1)}
        72:{3,5,6}:{(42,1),(44,1),(106,1),(107,1),(167,1)}
        73:{2,5,7}:{(43,1),(44,1),(101,1),(106,1)}
        74:{2,4,5,6}:{(44,1),(46,1),(102,1),(107,1),(109,1),(110,1),(169,1),(183,1),(246,1),(319,1),(377,1),(389,1)}
        75:{2,4,7}:{(45,1),(46,1),(103,1),(111,1)}
        76:{3,4,6}:{(46,1),(47,1),(110,1),(111,1),(389,1)}
        77:{1,4,6}:{(48,1),(49,1),(91,1),(113,1)}
        78:{1,3,6,7}:{(49,1),(51,1),(92,1),(112,1),(114,1),(262,1),(347,1),(375,1)}
        79:{1,3,5,6}:{(49,1),(50,1),(52,1),(93,1),(113,1),(114,1),(115,1),(118,1),(188,1),(190,1),(241,1),(262,1),(302,1),(347,1),(349,1),(375,1),(388,1)}
        80:{1,4}:{(50,1),(94,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(98,1),(114,1),(117,1),(261,1),(263,1),(306,1),(321,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(99,1),(115,1),(117,1),(118,1),(185,1),(192,1),(259,1),(319,1)}
        83:{1,3,5}:{(53,1),(100,1),(116,1),(118,1),(119,1),(305,1),(354,1)}
        84:{1,4,7}:{(54,1),(58,1),(120,1),(123,1)}
        85:{1,3,6}:{(54,1),(56,1),(59,1),(120,1)}
        86:{1,3,5}:{(55,1),(57,1),(60,1),(123,1)}
        87:{1,2,6,7}:{(56,1),(63,1),(121,1),(124,1),(294,1),(326,1),(343,1),(344,1)}
        88:{1,2,5,6}:{(56,1),(57,1),(64,1),(122,1),(124,1),(125,1),(224,1),(233,1),(271,1),(292,1),(297,1),(326,1),(344,1)}
        89:{1,2,4,5}:{(57,1),(65,1),(123,1),(125,1),(126,1),(145,1),(198,1),(201,1),(221,1),(231,1),(271,1),(297,1),(334,1),(346,1)}
        90:{3,4,7}:{(58,1),(61,1),(127,1),(132,1),(214,1)}
        91:{2,4,6}:{(58,1),(59,1),(77,1),(120,1),(127,1),(129,1)}
        92:{2,3,6,7}:{(59,1),(63,1),(78,1),(121,1),(128,1),(130,1),(133,1),(280,1),(295,1),(326,1),(343,1),(370,1),(373,1)}
        93:{2,3,5,6}:{(59,1),(60,1),(64,1),(79,1),(122,1),(129,1),(130,1),(131,1),(134,1),(138,1),(156,1),(203,1),(207,1),(209,1),(228,1),(271,1),(280,1),(292,1),(295,1),(326,1),(337,1),(342,1),(370,1),(384,1),(386,1)}
        94:{2,4}:{(60,1),(80,1),(123,1),(132,1)}
        95:{3,6}:{(61,1),(62,1)}
        96:{2,4,6,7}:{(62,1),(63,1),(66,1),(133,1),(135,1),(137,1),(214,1)}
        97:{2,5,6}:{(62,1),(67,1),(129,1),(134,1),(135,1)}
        98:{2,5,7}:{(63,1),(64,1),(68,1),(137,1),(293,1)}
        99:{2,4,6}:{(64,1),(65,1),(69,1),(137,1),(138,1)}
       100:{3,5}:{(65,1),(132,1),(138,1)}
       101:{1,5,7}:{(66,1),(67,1),(73,1),(135,1)}
       102:{1,4,5,6}:{(67,1),(69,1),(74,1),(136,1),(141,1),(142,1),(151,1),(198,1),(224,1),(226,1),(269,1),(289,1),(366,1)}
       103:{1,4,7}:{(68,1),(69,1),(75,1),(137,1),(214,1)}
       104:{1,3,4,6}:{(69,1),(70,1),(76,1),(138,1),(142,1),(143,1),(144,1),(215,1),(220,1),(289,1),(342,1)}
       105:{2,4,5}:{(70,1),(139,1),(144,1),(145,1),(154,1),(201,1),(221,1),(228,1),(271,1)}
       106:{3,5,7}:{(71,1),(72,1),(73,1),(147,1)}
       107:{4,5,6}:{(72,1),(147,1),(206,1),(277,1)}
       108:{2,5,6,7}:{(73,1),(140,1),(146,1),(148,1),(207,1),(372,1)}
       109:{2,4,5,7}:{(73,1),(74,1),(75,1),(141,1),(147,1),(148,1),(149,1),(223,1),(341,1),(372,1),(387,1)}
       110:{3,5,6}:{(74,1),(76,1),(149,1),(209,1),(280,1),(342,1)}
       111:{3,4,7}:{(75,1),(76,1),(149,1),(387,1)}
       112:{1,4,6,7}:{(77,1),(78,1),(128,1),(150,1),(152,1),(226,1),(383,1)}
       113:{1,5}:{(77,1),(129,1)}
       114:{1,3,5,7}:{(78,1),(79,1),(81,1),(130,1),(150,1),(152,1),(155,1),(275,1),(327,1)}
       115:{1,4,6}:{(79,1),(80,1),(131,1),(151,1),(152,1),(365,1)}
       116:{1,3,4}:{(80,1),(83,1),(132,1),(154,1),(365,1),(369,1)}
       117:{1,2,4,7}:{(81,1),(82,1),(137,1),(152,1),(155,1),(225,1),(229,1),(293,1),(341,1)}
       118:{1,3,6}:{(82,1),(83,1),(138,1),(155,1),(156,1),(342,1)}
       119:{2,3,5}:{(83,1),(154,1),(156,1),(157,1),(221,1),(228,1),(285,1)}
       120:{1,4,6}:{(84,1),(85,1),(91,1),(159,1)}
       121:{1,3,6,7}:{(85,1),(87,1),(92,1),(158,1),(160,1),(300,1),(322,1),(361,1)}
       122:{1,3,5,6}:{(85,1),(86,1),(88,1),(93,1),(159,1),(160,1),(161,1),(164,1),(195,1),(234,1),(236,1),(264,1),(300,1),(322,1),(324,1),(361,1),(382,1)}
       123:{1,4}:{(86,1),(94,1)}
       124:{1,2,5,7}:{(87,1),(88,1),(98,1),(160,1),(163,1),(261,1),(268,1),(301,1),(321,1)}
       125:{1,2,4,6}:{(88,1),(89,1),(99,1),(161,1),(163,1),(164,1),(185,1),(238,1),(259,1),(319,1)}
       126:{1,3,5}:{(89,1),(100,1),(162,1),(164,1),(165,1),(267,1),(354,1)}
       127:{3,4,6}:{(90,1),(91,1),(95,1),(167,1),(174,1)}
       128:{2,4,6,7}:{(91,1),(92,1),(112,1),(158,1),(166,1),(168,1),(170,1),(246,1),(380,1)}
       129:{2,5}:{(91,1),(113,1),(159,1),(167,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(98,1),(114,1),(160,1),(168,1),(170,1),(173,1),(178,1),(194,1),(240,1),(247,1),(263,1),(301,1),(321,1),(360,1),(381,1)}
       131:{2,4,6}:{(93,1),(94,1),(115,1),(161,1),(169,1),(170,1),(171,1),(174,1),(357,1),(389,1)}
       132:{3,4}:{(94,1),(100,1)}
       133:{3,6,7}:{(95,1),(96,1),(173,1),(178,1)}
       134:{3,5,6}:{(95,1),(97,1),(167,1),(173,1),(174,1)}
       135:{2,5,7}:{(96,1),(97,1),(101,1),(173,1)}
       136:{2,4,5,6}:{(97,1),(99,1),(102,1),(169,1),(174,1),(176,1),(177,1),(183,1),(246,1),(254,1),(307,1),(351,1)}
       137:{2,4,7}:{(98,1),(99,1),(103,1),(178,1)}
       138:{3,6}:{(99,1),(100,1),(178,1)}
       139:{2,3,5}:{(100,1),(105,1),(172,1),(179,1),(180,1),(354,1)}
       140:{1,5,6,7}:{(101,1),(108,1),(175,1),(181,1),(188,1),(234,1),(358,1)}
       141:{1,4,5,7}:{(101,1),(102,1),(103,1),(109,1),(176,1),(181,1),(182,1),(261,1),(318,1),(358,1)}
       142:{1,3,5,6}:{(102,1),(104,1),(110,1),(177,1),(182,1),(183,1),(190,1),(236,1),(262,1),(300,1)}
       143:{1,3,4,7}:{(103,1),(104,1),(111,1),(178,1),(182,1),(184,1),(253,1),(258,1),(318,1),(360,1)}
       144:{2,4,6}:{(104,1),(105,1),(179,1),(183,1),(184,1),(185,1),(259,1)}
       145:{1,4,5}:{(105,1),(180,1),(185,1),(193,1),(239,1),(264,1),(302,1)}
       146:{3,5,6,7}:{(106,1),(108,1),(186,1),(187,1),(243,1),(381,1)}
       147:{4,5,7}:{(106,1),(107,1),(186,1)}
       148:{2,4,6,7}:{(108,1),(109,1),(181,1),(186,1),(187,1),(246,1),(260,1)}
       149:{3,5,7}:{(109,1),(110,1),(111,1),(187,1),(360,1)}
       150:{1,5,7}:{(112,1),(113,1),(168,1),(188,1),(388,1)}
       151:{1,4,5}:{(113,1),(115,1),(169,1),(190,1),(302,1),(388,1)}
       152:{1,4,7}:{(114,1),(115,1),(170,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(118,1),(171,1),(190,1),(191,1),(192,1),(262,1)}
       154:{2,4}:{(116,1),(119,1),(193,1)}
       155:{1,3,7}:{(117,1),(118,1),(178,1),(194,1),(360,1)}
       156:{2,3,6}:{(118,1),(119,1),(192,1),(194,1),(195,1),(259,1)}
       157:{1,3,5}:{(119,1),(193,1),(195,1),(196,1),(264,1),(267,1)}
       158:{1,4,6,7}:{(120,1),(121,1),(128,1),(197,1),(199,1),(269,1),(374,1)}
       159:{1,5}:{(120,1),(129,1)}
       160:{1,3,5,7}:{(121,1),(122,1),(124,1),(130,1),(197,1),(199,1),(202,1),(232,1),(296,1)}
       161:{1,4,6}:{(122,1),(123,1),(131,1),(198,1),(199,1),(346,1)}
       162:{1,3,4}:{(123,1),(126,1),(132,1),(201,1),(346,1),(369,1)}
       163:{1,2,4,7}:{(124,1),(125,1),(137,1),(199,1),(202,1),(225,1),(272,1),(293,1),(341,1)}
       164:{1,3,6}:{(125,1),(126,1),(138,1),(202,1),(203,1),(342,1)}
       165:{2,3,5}:{(126,1),(201,1),(203,1),(204,1),(221,1),(271,1),(285,1)}
       166:{3,4,6,7}:{(127,1),(128,1),(133,1),(205,1),(210,1),(214,1),(277,1),(280,1),(373,1),(385,1),(387,1)}
       167:{3,5}:{(127,1),(129,1),(206,1)}
       168:{2,5,7}:{(128,1),(129,1),(150,1),(197,1),(205,1),(207,1),(386,1)}
       169:{2,4,5}:{(129,1),(131,1),(151,1),(198,1),(206,1),(209,1),(228,1),(271,1),(386,1),(391,1)}
       170:{2,4,7}:{(130,1),(131,1),(152,1),(199,1),(210,1),(214,1),(387,1)}
       171:{3,4,6}:{(131,1),(132,1),(138,1),(209,1),(210,1),(280,1),(342,1),(369,1)}
       172:{2,3,4}:{(132,1),(139,1),(154,1),(201,1),(212,1),(285,1),(369,1)}
       173:{3,5,7}:{(133,1),(134,1),(135,1),(214,1)}
       174:{4,6}:{(134,1),(206,1),(214,1)}
       175:{2,5,6,7}:{(135,1),(140,1),(207,1),(213,1),(216,1),(339,1)}
       176:{2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(214,1),(216,1),(217,1),(223,1),(286,1),(288,1),(339,1)}
       177:{3,5,6}:{(136,1),(138,1),(209,1),(215,1),(217,1),(280,1)}
       178:{3,7}:{(137,1),(138,1)}
       179:{2,3,6}:{(138,1),(139,1),(144,1),(219,1),(220,1),(342,1)}
       180:{1,3,5}:{(139,1),(145,1),(212,1),(220,1),(221,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(148,1),(216,1),(222,1),(226,1),(269,1),(294,1)}
       182:{1,3,5,7}:{(141,1),(142,1),(143,1),(149,1),(217,1),(222,1),(223,1)}
       183:{2,5,6}:{(142,1),(144,1),(223,1),(224,1),(228,1),(271,1),(295,1),(326,1)}
       184:{2,4,7}:{(143,1),(144,1),(219,1),(223,1),(225,1),(293,1)}
       185:{1,4,6}:{(144,1),(145,1),(220,1),(224,1),(225,1)}
       186:{4,6,7}:{(146,1),(147,1),(277,1),(387,1)}
       187:{3,6,7}:{(148,1),(149,1),(280,1)}
       188:{1,5,6}:{(150,1),(207,1),(226,1)}
       189:{1,4,5,7}:{(150,1),(151,1),(152,1),(208,1),(226,1),(227,1),(327,1)}
       190:{1,3,5}:{(151,1),(153,1),(209,1),(228,1)}
       191:{1,3,4,7}:{(152,1),(153,1),(155,1),(210,1),(227,1),(229,1)}
       192:{2,4,6}:{(153,1),(154,1),(156,1),(228,1),(229,1),(230,1),(295,1)}
       193:{1,4}:{(154,1),(157,1)}
       194:{2,3,7}:{(155,1),(156,1),(229,1),(232,1),(293,1)}
       195:{1,3,6}:{(156,1),(157,1),(230,1),(232,1),(233,1)}
       196:{1,2,5}:{(157,1),(221,1),(231,1),(233,1)}
       197:{1,5,7}:{(158,1),(159,1),(168,1),(234,1),(382,1)}
       198:{1,4,5}:{(159,1),(161,1),(169,1),(236,1),(264,1),(382,1)}
       199:{1,4,7}:{(160,1),(161,1),(170,1)}
       200:{1,3,4,6}:{(161,1),(162,1),(164,1),(171,1),(236,1),(237,1),(238,1),(300,1)}
       201:{2,4}:{(162,1),(165,1),(239,1)}
       202:{1,3,7}:{(163,1),(164,1),(178,1),(240,1),(360,1)}
       203:{2,3,6}:{(164,1),(165,1),(238,1),(240,1),(241,1),(259,1)}
       204:{1,3,5}:{(165,1),(239,1),(241,1),(242,1),(302,1),(305,1)}
       205:{3,5,7}:{(166,1),(167,1),(168,1),(243,1),(244,1),(390,1)}
       206:{4,5}:{(167,1),(174,1)}
       207:{2,5,6}:{(168,1),(188,1),(234,1),(243,1),(246,1)}
       208:{2,4,5,7}:{(168,1),(169,1),(170,1),(189,1),(235,1),(244,1),(246,1),(247,1),(263,1),(301,1)}
       209:{3,5}:{(169,1),(171,1)}
       210:{3,4,7}:{(170,1),(171,1),(178,1),(247,1),(360,1)}
       211:{2,3,4,6}:{(171,1),(172,1),(179,1),(192,1),(238,1),(248,1),(249,1),(250,1),(254,1),(311,1),(315,1),(357,1),(380,1)}
       212:{1,3,4}:{(172,1),(180,1),(193,1),(239,1),(251,1),(267,1),(305,1)}
       213:{3,5,6,7}:{(173,1),(175,1),(243,1),(252,1),(255,1),(316,1)}
       214:{4,7}:{(173,1),(174,1)}
       215:{3,4,6}:{(174,1),(177,1),(245,1),(253,1),(254,1)}
       216:{2,4,6,7}:{(175,1),(176,1),(181,1),(246,1),(252,1),(255,1),(260,1)}
       217:{3,5,7}:{(176,1),(177,1),(178,1),(253,1),(255,1)}
       218:{2,3,5,6}:{(177,1),(179,1),(183,1),(248,1),(254,1),(256,1),(257,1),(311,1),(351,1)}
       219:{2,3,7}:{(178,1),(179,1),(184,1),(258,1),(360,1)}
       220:{1,3,6}:{(179,1),(180,1),(185,1),(258,1),(259,1)}
       221:{2,5}:{(180,1),(251,1),(259,1)}
       222:{1,3,6,7}:{(181,1),(182,1),(187,1),(255,1),(260,1),(262,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(184,1),(260,1),(261,1)}
       224:{1,5,6}:{(183,1),(185,1),(261,1),(264,1),(302,1),(322,1),(347,1)}
       225:{1,4,7}:{(184,1),(185,1),(258,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(246,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(191,1),(247,1),(262,1),(263,1)}
       228:{2,5}:{(190,1),(192,1),(264,1)}
       229:{2,4,7}:{(191,1),(192,1),(194,1),(263,1),(265,1)}
       230:{1,4,6}:{(192,1),(193,1),(195,1),(264,1),(265,1),(322,1)}
       231:{1,2,4}:{(193,1),(196,1),(251,1),(267,1)}
       232:{1,3,7}:{(194,1),(195,1),(265,1),(268,1)}
       233:{1,2,6}:{(195,1),(196,1),(259,1),(268,1)}
       234:{1,5,6}:{(197,1),(207,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(208,1),(269,1),(270,1),(296,1)}
       236:{1,3,5}:{(198,1),(200,1),(209,1),(271,1)}
       237:{1,3,4,7}:{(199,1),(200,1),(202,1),(210,1),(270,1),(272,1)}
       238:{2,4,6}:{(200,1),(201,1),(203,1),(271,1),(272,1),(273,1),(326,1)}
       239:{1,4}:{(201,1),(204,1)}
       240:{2,3,7}:{(202,1),(203,1),(272,1),(275,1),(293,1)}
       241:{1,3,6}:{(203,1),(204,1),(273,1),(275,1),(276,1)}
       242:{1,2,5}:{(204,1),(221,1),(274,1),(276,1)}
       243:{3,5,6}:{(205,1),(207,1),(277,1),(280,1)}
       244:{4,5,7}:{(205,1),(206,1),(214,1),(277,1),(387,1),(391,1)}
       245:{3,4,5}:{(206,1),(209,1),(215,1),(279,1),(369,1)}
       246:{2,4,6}:{(207,1),(208,1),(226,1),(269,1),(277,1),(280,1),(295,1),(326,1)}
       247:{3,5,7}:{(208,1),(209,1),(210,1),(280,1)}
       248:{2,3,5}:{(209,1),(211,1),(228,1),(271,1),(279,1),(282,1),(386,1)}
       249:{2,3,4,7}:{(210,1),(211,1),(219,1),(229,1),(272,1),(281,1),(283,1),(288,1),(338,1),(371,1)}
       250:{1,3,4,6}:{(211,1),(212,1),(220,1),(230,1),(273,1),(282,1),(283,1),(284,1),(289,1),(299,1),(330,1),(335,1),(342,1),(346,1),(365,1),(369,1),(374,1),(383,1),(385,1)}
       251:{2,4}:{(212,1),(221,1),(285,1)}
       252:{4,6,7}:{(213,1),(214,1),(277,1),(286,1)}
       253:{3,4,7}:{(214,1),(215,1),(217,1),(288,1)}
       254:{2,4,6}:{(215,1),(218,1),(279,1),(288,1),(289,1)}
       255:{3,6,7}:{(216,1),(217,1),(280,1)}
       256:{2,3,5,7}:{(217,1),(218,1),(219,1),(223,1),(288,1),(290,1),(291,1),(339,1)}
       257:{1,3,5,6}:{(218,1),(220,1),(224,1),(282,1),(289,1),(291,1),(292,1),(335,1),(342,1),(366,1),(384,1)}
       258:{1,3,7}:{(219,1),(220,1),(225,1),(293,1)}
       259:{2,6}:{(220,1),(221,1),(293,1)}
       260:{2,6,7}:{(222,1),(223,1),(294,1),(295,1),(326,1)}
       261:{1,5,7}:{(223,1),(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(280,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(229,1),(295,1),(296,1)}
       264:{1,5}:{(228,1),(230,1)}
       265:{1,4,7}:{(229,1),(230,1),(232,1),(296,1)}
       266:{1,2,4,6}:{(230,1),(231,1),(233,1),(284,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       267:{1,3}:{(231,1),(285,1)}
       268:{1,2,7}:{(232,1),(233,1),(293,1)}
       269:{1,4,6}:{(234,1),(235,1),(246,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(237,1),(247,1),(300,1),(301,1)}
       271:{2,5}:{(236,1),(238,1),(302,1)}
       272:{2,4,7}:{(237,1),(238,1),(240,1),(301,1),(303,1)}
       273:{1,4,6}:{(238,1),(239,1),(241,1),(302,1),(303,1),(347,1)}
       274:{1,2,4}:{(239,1),(242,1),(251,1),(305,1)}
       275:{1,3,7}:{(240,1),(241,1),(303,1),(306,1)}
       276:{1,2,6}:{(241,1),(242,1),(259,1),(306,1)}
       277:{4,6}:{(243,1),(244,1)}
       278:{3,4,5,7}:{(244,1),(245,1),(247,1),(253,1),(308,1),(309,1),(316,1),(379,1),(390,1)}
       279:{2,4,5}:{(245,1),(248,1),(254,1),(310,1),(357,1)}
       280:{3,6}:{(246,1),(247,1)}
       281:{2,3,5,7}:{(247,1),(248,1),(249,1),(263,1),(301,1),(309,1),(311,1),(312,1)}
       282:{1,3,5}:{(248,1),(250,1),(264,1),(302,1),(310,1),(313,1),(354,1),(382,1),(388,1),(390,1)}
       283:{1,3,4,7}:{(249,1),(250,1),(258,1),(265,1),(303,1),(312,1),(314,1),(318,1),(325,1),(350,1),(360,1),(362,1),(376,1),(379,1)}
       284:{2,4,6}:{(250,1),(251,1),(259,1),(313,1),(314,1),(315,1),(355,1),(357,1)}
       285:{2,3}:{(251,1),(267,1),(305,1)}
       286:{4,5,7}:{(252,1),(307,1),(316,1)}
       287:{3,4,6,7}:{(252,1),(253,1),(255,1),(308,1),(316,1),(317,1)}
       288:{2,4,7}:{(253,1),(254,1),(256,1),(318,1)}
       289:{1,4,6}:{(254,1),(257,1),(310,1),(318,1),(319,1),(389,1)}
       290:{2,3,6,7}:{(255,1),(256,1),(260,1),(311,1),(317,1),(320,1)}
       291:{1,3,5,7}:{(256,1),(257,1),(258,1),(261,1),(318,1),(320,1),(321,1),(358,1),(360,1),(381,1)}
       292:{2,5,6}:{(257,1),(259,1),(313,1),(319,1),(321,1),(355,1)}
       293:{2,7}:{(258,1),(259,1)}
       294:{1,6,7}:{(260,1),(261,1),(322,1),(347,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(265,1),(322,1)}
       297:{1,2,5}:{(264,1),(266,1),(313,1),(324,1),(382,1)}
       298:{1,2,4,7}:{(265,1),(266,1),(268,1),(314,1),(323,1),(325,1),(362,1)}
       299:{1,3,6}:{(266,1),(267,1),(315,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(280,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(272,1),(326,1),(327,1)}
       302:{1,5}:{(271,1),(273,1)}
       303:{1,4,7}:{(272,1),(273,1),(275,1),(327,1)}
       304:{1,2,4,6}:{(273,1),(274,1),(276,1),(284,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       305:{1,3}:{(274,1),(285,1)}
       306:{1,2,7}:{(275,1),(276,1),(293,1)}
       307:{4,5,6}:{(277,1),(286,1),(331,1),(391,1)}
       308:{3,4,6}:{(277,1),(278,1),(280,1),(331,1),(332,1)}
       309:{2,4,5,7}:{(278,1),(279,1),(281,1),(288,1),(332,1),(333,1),(339,1),(371,1),(386,1)}
       310:{1,4,5}:{(279,1),(282,1),(289,1),(334,1),(346,1),(365,1),(391,1)}
       311:{2,3,6}:{(280,1),(281,1),(295,1),(326,1),(332,1),(335,1)}
       312:{1,3,5,7}:{(281,1),(282,1),(283,1),(296,1),(327,1),(333,1),(335,1),(336,1),(368,1)}
       313:{2,5}:{(282,1),(284,1)}
       314:{2,4,7}:{(283,1),(284,1),(293,1),(336,1),(338,1)}
       315:{2,3,6}:{(284,1),(285,1),(299,1),(330,1),(337,1),(338,1),(342,1)}
       316:{3,5,7}:{(286,1),(287,1),(331,1),(339,1)}
       317:{2,4,6,7}:{(287,1),(288,1),(290,1),(332,1),(339,1),(340,1)}
       318:{1,4,7}:{(288,1),(289,1),(291,1),(341,1),(387,1)}
       319:{2,4,6}:{(289,1),(292,1),(334,1),(341,1),(342,1)}
       320:{1,3,6,7}:{(290,1),(291,1),(294,1),(335,1),(340,1),(343,1),(373,1)}
       321:{2,5,7}:{(291,1),(292,1),(293,1),(341,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(336,1),(344,1),(345,1)}
       324:{1,3,5}:{(297,1),(299,1),(337,1),(346,1)}
       325:{1,3,7}:{(298,1),(299,1),(338,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(303,1),(347,1)}
       328:{1,2,5}:{(302,1),(304,1),(313,1),(349,1),(388,1)}
       329:{1,2,4,7}:{(303,1),(304,1),(306,1),(314,1),(348,1),(350,1),(376,1)}
       330:{1,3,6}:{(304,1),(305,1),(315,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(316,1),(351,1),(390,1)}
       332:{2,4,6}:{(308,1),(309,1),(311,1),(351,1),(352,1)}
       333:{1,4,5,7}:{(309,1),(310,1),(312,1),(318,1),(352,1),(353,1),(358,1),(362,1),(376,1),(382,1),(388,1)}
       334:{2,4,5}:{(310,1),(313,1),(319,1),(354,1),(357,1)}
       335:{1,3,6}:{(311,1),(312,1),(322,1),(347,1),(352,1),(355,1),(378,1)}
       336:{2,5,7}:{(312,1),(313,1),(314,1),(355,1)}
       337:{2,3,5}:{(313,1),(315,1),(324,1),(349,1),(354,1),(357,1)}
       338:{2,3,7}:{(314,1),(315,1),(325,1),(350,1),(360,1)}
       339:{2,5,7}:{(316,1),(317,1),(351,1),(358,1)}
       340:{1,4,6,7}:{(317,1),(318,1),(320,1),(352,1),(358,1),(359,1)}
       341:{2,4,7}:{(318,1),(319,1),(321,1),(360,1)}
       342:{3,6}:{(319,1),(354,1),(360,1)}
       343:{2,6,7}:{(320,1),(321,1),(355,1)}
       344:{1,2,6}:{(322,1),(323,1),(355,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(356,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(324,1),(357,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(336,1),(363,1),(364,1)}
       349:{1,3,5}:{(328,1),(330,1),(337,1),(365,1)}
       350:{1,3,7}:{(329,1),(330,1),(338,1)}
       351:{2,5,6}:{(331,1),(332,1),(339,1),(366,1),(386,1)}
       352:{1,4,6}:{(332,1),(333,1),(335,1),(366,1),(367,1)}
       353:{2,4,5,7}:{(333,1),(334,1),(336,1),(341,1),(367,1),(368,1),(371,1),(372,1),(386,1),(387,1),(391,1)}
       354:{3,5}:{(334,1),(342,1),(369,1)}
       355:{2,6}:{(335,1),(336,1)}
       356:{2,3,5,7}:{(336,1),(337,1),(338,1),(345,1),(364,1),(368,1),(370,1),(371,1),(386,1)}
       357:{2,4}:{(337,1),(346,1),(365,1),(369,1)}
       358:{1,5,7}:{(339,1),(340,1),(366,1),(372,1)}
       359:{2,4,6,7}:{(340,1),(341,1),(343,1),(367,1),(372,1),(373,1),(387,1)}
       360:{3,7}:{(341,1),(342,1)}
       361:{1,3,6}:{(344,1),(345,1),(370,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(371,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(355,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(356,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(349,1),(357,1)}
       366:{1,5,6}:{(351,1),(352,1),(358,1),(377,1),(382,1),(388,1)}
       367:{2,4,6}:{(352,1),(353,1),(355,1),(377,1),(378,1),(389,1)}
       368:{3,5,7}:{(353,1),(354,1),(360,1),(378,1),(379,1),(390,1)}
       369:{3,4}:{(354,1),(357,1)}
       370:{2,3,6}:{(355,1),(356,1),(361,1),(375,1),(378,1),(380,1)}
       371:{2,4,7}:{(356,1),(357,1),(362,1),(376,1),(379,1),(380,1)}
       372:{2,5,7}:{(358,1),(359,1),(377,1),(381,1)}
       373:{3,6,7}:{(359,1),(360,1),(378,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(380,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(370,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(371,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(372,1),(384,1),(386,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{3,4,7}:{(368,1),(369,1),(371,1),(385,1),(387,1)}
       380:{2,4,6}:{(370,1),(371,1),(374,1),(383,1),(385,1),(386,1)}
       381:{3,5,7}:{(372,1),(373,1),(384,1),(387,1)}
       382:{1,5}:{(374,1),(386,1)}
       383:{1,4,6}:{(375,1),(376,1),(380,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(381,1),(389,1),(390,1)}
       385:{3,4,6}:{(378,1),(379,1),(380,1),(389,1),(390,1)}
       386:{2,5}:{(380,1),(382,1),(388,1),(390,1)}
       387:{4,7}:{(381,1),(389,1)}
       388:{1,5}:{(383,1),(386,1)}
       389:{4,6}:{(384,1),(387,1),(391,1)}
       390:{3,5}:{(385,1),(386,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 508 :  0:{2,3,4}:{(2,1),(3,1),(20,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(54,1),(78,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
        3:{1,3,4}:{(0,1),(7,1),(9,1),(11,1),(24,1),(34,1),(51,1),(54,1)}
        4:{1,2,4}:{(9,1),(10,1),(11,1),(34,1)}
        5:{2,4,5}:{(1,1),(2,1),(13,1),(14,1),(46,1),(73,1)}
        6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1)}
        7:{1,3,5}:{(2,1),(3,1),(13,1),(17,1),(18,1),(39,1)}
        8:{2,3,6}:{(2,1),(14,1),(18,1),(19,1)}
        9:{2,4}:{(3,1),(17,1),(20,1)}
       10:{1,2,5}:{(4,1),(17,1),(21,1),(22,1)}
       11:{1,3}:{(4,1),(20,1)}
       12:{1,2,4}:{(9,1),(23,1),(24,1),(51,1)}
       13:{1,4,5}:{(5,1),(7,1),(25,1),(26,1),(34,1),(51,1),(63,1),(76,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(26,1),(27,1),(28,1)}
       15:{3,5,6}:{(6,1),(27,1),(29,1),(30,1),(78,1),(93,1)}
       16:{3,4,7}:{(6,1),(28,1),(30,1)}
       17:{2,5}:{(7,1),(9,1),(32,1)}
       18:{1,3,6}:{(7,1),(8,1),(26,1),(32,1),(33,1),(55,1)}
       19:{2,3,7}:{(8,1),(28,1),(33,1)}
       20:{2,3}:{(9,1),(11,1),(24,1)}
       21:{1,3,5}:{(10,1),(11,1),(31,1),(34,1),(35,1),(63,1)}
       22:{1,2,6}:{(10,1),(32,1),(35,1),(36,1)}
       23:{1,2,5}:{(12,1),(17,1),(37,1),(38,1)}
       24:{1,3}:{(12,1),(20,1)}
       25:{2,4,5}:{(13,1),(17,1),(39,1),(40,1),(46,1),(73,1),(86,1)}
       26:{1,4,6}:{(13,1),(14,1),(18,1),(40,1),(41,1),(42,1)}
       27:{2,5,6}:{(14,1),(15,1),(41,1),(43,1),(73,1),(90,1)}
       28:{2,4,7}:{(14,1),(16,1),(19,1),(42,1),(43,1)}
       29:{4,5,6}:{(15,1),(44,1),(86,1),(95,1)}
       30:{3,5,7}:{(15,1),(16,1),(43,1),(44,1),(45,1)}
       31:{2,3,5}:{(17,1),(20,1),(21,1),(37,1),(39,1),(46,1),(47,1),(73,1)}
       32:{2,6}:{(17,1),(18,1),(48,1)}
       33:{1,3,7}:{(18,1),(19,1),(42,1),(48,1),(69,1)}
       34:{1,4}:{(21,1),(46,1)}
       35:{1,3,6}:{(21,1),(22,1),(47,1),(49,1),(50,1)}
       36:{1,2,7}:{(22,1),(48,1),(50,1)}
       37:{1,3,5}:{(23,1),(24,1),(31,1),(51,1),(52,1),(76,1)}
       38:{1,2,6}:{(23,1),(32,1),(52,1),(53,1)}
       39:{3,5}:{(25,1),(54,1),(55,1)}
       40:{2,4,6}:{(25,1),(26,1),(32,1),(55,1),(56,1),(57,1),(80,1)}
       41:{1,5,6}:{(26,1),(27,1),(56,1),(58,1),(63,1),(76,1),(84,1),(91,1)}
       42:{1,4,7}:{(26,1),(28,1),(33,1),(57,1),(58,1)}
       43:{2,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1)}
       44:{4,5,7}:{(29,1),(30,1),(60,1)}
       45:{3,6,7}:{(30,1),(59,1),(60,1),(93,1)}
       46:{2,4}:{(31,1),(34,1),(51,1),(54,1)}
       47:{2,3,6}:{(31,1),(32,1),(35,1),(52,1),(55,1),(61,1),(62,1)}
       48:{2,7}:{(32,1),(33,1)}
       49:{1,4,6}:{(34,1),(35,1),(61,1),(63,1),(64,1),(84,1)}
       50:{1,3,7}:{(35,1),(36,1),(62,1),(64,1)}
       51:{1,4}:{(37,1),(46,1)}
       52:{1,3,6}:{(37,1),(38,1),(47,1),(65,1),(66,1)}
       53:{1,2,7}:{(38,1),(48,1),(66,1)}
       54:{3,4}:{(39,1),(46,1)}
       55:{3,6}:{(39,1),(40,1),(69,1)}
       56:{2,5,6}:{(40,1),(41,1),(68,1),(70,1),(73,1),(90,1)}
       57:{2,4,7}:{(40,1),(42,1),(48,1),(69,1),(70,1),(88,1)}
       58:{1,5,7}:{(41,1),(42,1),(43,1),(70,1),(71,1)}
       59:{2,6,7}:{(43,1),(45,1),(71,1),(90,1)}
       60:{4,6,7}:{(44,1),(45,1),(72,1),(95,1)}
       61:{2,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(73,1),(74,1),(90,1)}
       62:{2,3,7}:{(47,1),(48,1),(50,1),(66,1),(69,1),(74,1)}
       63:{1,5}:{(49,1),(73,1)}
       64:{1,4,7}:{(49,1),(50,1),(74,1),(75,1)}
       65:{1,4,6}:{(51,1),(52,1),(61,1),(76,1),(77,1),(91,1)}
       66:{1,3,7}:{(52,1),(53,1),(62,1),(77,1)}
       67:{3,4,6}:{(54,1),(55,1),(61,1),(78,1),(79,1),(80,1),(93,1)}
       68:{3,5,6}:{(55,1),(56,1),(78,1),(80,1),(81,1),(93,1),(97,1)}
       69:{3,7}:{(55,1),(57,1)}
       70:{2,5,7}:{(56,1),(57,1),(58,1),(81,1),(82,1)}
       71:{1,6,7}:{(58,1),(59,1),(82,1),(84,1),(91,1)}
       72:{5,6,7}:{(60,1),(97,1)}
       73:{2,5}:{(61,1),(63,1),(76,1),(78,1)}
       74:{2,4,7}:{(61,1),(62,1),(64,1),(77,1),(79,1),(83,1)}
       75:{1,5,7}:{(63,1),(64,1),(83,1),(84,1)}
       76:{1,5}:{(65,1),(73,1)}
       77:{1,4,7}:{(65,1),(66,1),(74,1),(85,1)}
       78:{3,5}:{(67,1),(73,1),(86,1)}
       79:{3,4,7}:{(67,1),(69,1),(74,1),(87,1),(88,1)}
       80:{4,6}:{(68,1),(86,1),(88,1)}
       81:{3,5,7}:{(68,1),(69,1),(70,1),(88,1),(89,1),(96,1)}
       82:{2,6,7}:{(70,1),(71,1),(89,1),(90,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(87,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(80,1)}
       87:{3,5,7}:{(78,1),(79,1),(83,1),(92,1),(93,1)}
       88:{4,7}:{(80,1),(81,1)}
       89:{3,6,7}:{(81,1),(82,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(93,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(88,1),(95,1),(96,1)}
       93:{3,6}:{(87,1),(90,1),(95,1)}
       94:{4,6,7}:{(88,1),(89,1),(95,1),(96,1)}
       95:{4,6}:{(92,1),(93,1),(97,1)}
       96:{5,7}:{(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 509 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{1,3,4}:{(1,1),(4,1),(5,1)}
        3:{1,2,5}:{(1,1),(5,1),(6,1)}
        4:{2,3,4}:{(2,1),(8,1),(9,1)}
        5:{1,3,5}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,6}:{(3,1),(11,1),(12,1)}
        7:{1,2,3}:{(13,1)}
        8:{1,3,4}:{(4,1),(13,1),(14,1)}
        9:{2,3,5}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,4,5}:{(5,1),(15,1),(17,1)}
       11:{1,3,6}:{(5,1),(6,1),(16,1),(17,1),(18,1)}
       12:{1,2,7}:{(6,1),(18,1)}
       13:{1,2,4}:{(7,1),(8,1),(19,1)}
       14:{1,3,5}:{(8,1),(9,1),(19,1),(20,1),(21,1)}
       15:{2,4,5}:{(9,1),(10,1),(20,1),(22,1),(23,1)}
       16:{2,3,6}:{(9,1),(11,1),(21,1),(23,1),(24,1)}
       17:{1,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,3,7}:{(11,1),(12,1),(24,1),(26,1)}
       19:{1,2,5}:{(13,1),(14,1),(27,1)}
       20:{1,4,5}:{(14,1),(15,1),(28,1)}
       21:{1,3,6}:{(14,1),(16,1),(27,1),(28,1),(29,1)}
       22:{3,4,5}:{(15,1),(30,1)}
       23:{2,4,6}:{(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
       24:{2,3,7}:{(16,1),(18,1),(29,1),(32,1)}
       25:{1,5,6}:{(17,1),(31,1),(33,1)}
       26:{1,4,7}:{(17,1),(18,1),(32,1),(33,1)}
       27:{1,2,6}:{(19,1),(21,1),(34,1)}
       28:{1,4,6}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
       29:{1,3,7}:{(21,1),(24,1),(34,1),(36,1)}
       30:{3,4,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{2,5,6}:{(23,1),(25,1),(35,1),(37,1),(39,1)}
       32:{2,4,7}:{(23,1),(24,1),(26,1),(36,1),(38,1),(39,1)}
       33:{1,5,7}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,2,7}:{(27,1),(29,1)}
       35:{1,5,6}:{(28,1),(31,1),(41,1)}
       36:{1,4,7}:{(28,1),(29,1),(32,1),(41,1)}
       37:{3,5,6}:{(30,1),(31,1),(42,1),(43,1)}
       38:{3,4,7}:{(30,1),(32,1),(43,1)}
       39:{2,5,7}:{(31,1),(32,1),(33,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(33,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 510 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

 511 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 512 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(73,1),(114,1),(119,1),(122,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(19,1),(87,1),(91,1),(94,1),(148,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(99,1),(149,1),(153,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(13,1),(29,1),(33,1),(62,1),(65,1),(68,1),(122,1),(124,1),(176,1)}
         4:{1,4,6,7}:{(1,1),(8,1),(9,1),(121,1),(175,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(33,1),(37,1),(75,1),(119,1),(123,1),(128,1),(135,1),(175,1)}
         6:{1,3,6,7}:{(2,1),(12,1),(13,1),(125,1),(176,1)}
         7:{1,3,5,6,7}:{(3,1),(14,1),(15,1),(24,1),(41,1),(43,1),(52,1),(94,1),(103,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(17,1),(93,1),(149,1),(152,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(18,1),(19,1),(91,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(17,1),(19,1),(20,1),(22,1),(49,1)}
        11:{1,2,4,5,6}:{(5,1),(18,1),(21,1),(50,1),(55,1),(99,1),(105,1),(145,1),(149,1),(153,1),(159,1),(161,1),(197,1),(202,1),(234,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(151,1),(163,1)}
        13:{2,3,6,7}:{(6,1),(20,1),(23,1),(24,1),(98,1),(153,1)}
        14:{1,2,5,6,7}:{(7,1),(25,1),(39,1),(65,1),(76,1),(116,1),(122,1)}
        15:{1,4,6,7}:{(7,1),(8,1),(26,1),(121,1),(130,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(26,1),(28,1),(29,1),(33,1),(65,1)}
        17:{3,4,6,7}:{(8,1),(29,1),(67,1),(176,1),(178,1)}
        18:{1,4,5,6}:{(9,1),(28,1),(31,1),(116,1),(121,1),(182,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(29,1),(31,1),(33,1)}
        20:{2,4,6,7}:{(10,1),(13,1),(33,1),(34,1),(37,1),(72,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(35,1),(36,1),(125,1),(131,1),(176,1),(188,1),(221,1)}
        22:{1,3,4,7}:{(12,1),(35,1),(37,1),(175,1),(178,1)}
        23:{2,3,5,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(38,1),(128,1),(136,1)}
        24:{1,3,6,7}:{(13,1),(34,1),(38,1),(39,1),(125,1)}
        25:{1,2,4,6,7}:{(14,1),(15,1),(40,1),(41,1),(44,1),(144,1),(149,1),(195,1)}
        26:{1,4,5,7}:{(15,1),(16,1),(42,1),(43,1),(52,1)}
        27:{1,3,4,6,7}:{(15,1),(17,1),(41,1),(43,1),(44,1),(85,1),(88,1)}
        28:{2,4,5,6}:{(16,1),(18,1),(42,1),(45,1),(50,1),(89,1),(93,1),(149,1),(202,1)}
        29:{3,5,7}:{(16,1),(17,1),(45,1)}
        30:{2,3,4,6,7}:{(17,1),(20,1),(44,1),(47,1),(48,1),(57,1),(93,1),(97,1),(98,1),(140,1),(143,1),(152,1),(201,1),(204,1),(231,1)}
        31:{1,3,5,6}:{(18,1),(19,1),(45,1),(49,1),(50,1),(205,1)}
        32:{1,3,4,5,7}:{(19,1),(22,1),(46,1),(49,1),(51,1),(54,1),(95,1),(101,1),(151,1),(158,1),(205,1)}
        33:{2,5,7}:{(19,1),(20,1),(50,1),(52,1)}
        34:{1,4,6,7}:{(20,1),(24,1),(52,1),(58,1),(99,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(54,1),(55,1),(197,1),(201,1)}
        36:{2,3,5,6}:{(21,1),(23,1),(50,1),(55,1),(56,1),(98,1),(104,1),(153,1),(159,1),(162,1)}
        37:{2,4,7}:{(22,1),(23,1),(55,1),(58,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(52,1),(56,1),(58,1),(59,1),(109,1)}
        39:{1,2,6,7}:{(24,1),(59,1),(153,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(60,1),(61,1),(65,1),(76,1),(112,1),(118,1),(123,1),(130,1),(173,1),(213,1)}
        41:{1,3,6,7}:{(25,1),(61,1),(62,1),(170,1),(176,1)}
        42:{1,4,5,6}:{(26,1),(28,1),(63,1),(73,1),(121,1),(218,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(63,1),(65,1)}
        44:{2,4,6,7}:{(27,1),(62,1),(65,1),(66,1),(112,1),(115,1)}
        45:{3,5,6}:{(28,1),(29,1),(67,1),(176,1),(221,1)}
        46:{3,4,5,7}:{(29,1),(67,1),(69,1),(178,1),(221,1)}
        47:{2,3,5,7}:{(29,1),(30,1),(33,1),(65,1),(68,1),(69,1),(70,1),(221,1),(223,1),(240,1)}
        48:{1,3,4,6,7}:{(30,1),(34,1),(66,1),(70,1),(71,1),(77,1),(82,1),(120,1),(121,1),(125,1),(130,1),(168,1),(170,1),(175,1),(176,1),(178,1),(181,1),(217,1),(222,1),(239,1)}
        49:{1,3,4,6}:{(31,1),(32,1),(67,1),(72,1),(121,1),(125,1),(176,1)}
        50:{2,5,6}:{(31,1),(33,1),(72,1),(73,1),(223,1)}
        51:{2,4,5,7}:{(32,1),(33,1),(37,1),(72,1),(74,1),(75,1),(78,1),(128,1),(184,1),(223,1)}
        52:{1,5,7}:{(33,1),(34,1),(73,1)}
        53:{1,2,4,6,7}:{(34,1),(39,1),(71,1),(76,1),(77,1),(83,1),(126,1),(130,1),(213,1),(215,1),(239,1)}
        54:{1,3,4,5}:{(35,1),(78,1),(131,1),(187,1),(218,1),(221,1)}
        55:{2,4,6}:{(35,1),(36,1),(37,1),(78,1),(80,1)}
        56:{1,3,5,6}:{(36,1),(38,1),(73,1),(80,1),(81,1),(125,1),(131,1),(134,1)}
        57:{2,3,4,7}:{(37,1),(74,1),(79,1),(82,1),(136,1),(178,1),(184,1)}
        58:{1,4,7}:{(37,1),(38,1),(80,1)}
        59:{1,2,5,7}:{(38,1),(39,1),(81,1),(83,1),(128,1)}
        60:{1,2,4,5,6}:{(40,1),(42,1),(84,1),(89,1),(100,1),(138,1),(144,1),(149,1),(155,1),(190,1),(195,1),(202,1),(225,1),(227,1),(243,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(84,1),(85,1),(86,1),(151,1),(229,1)}
        62:{2,3,6,7}:{(41,1),(44,1),(86,1),(87,1),(143,1),(195,1)}
        63:{1,3,5,6}:{(42,1),(43,1),(45,1),(88,1),(89,1),(232,1)}
        64:{1,3,4,5,7}:{(43,1),(46,1),(85,1),(88,1),(90,1),(95,1),(137,1),(146,1),(151,1),(200,1),(232,1)}
        65:{2,5,7}:{(43,1),(44,1),(89,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(87,1),(91,1),(141,1),(144,1)}
        67:{3,4,6}:{(45,1),(46,1),(93,1)}
        68:{2,3,5,6}:{(45,1),(47,1),(50,1),(89,1),(93,1),(94,1),(98,1),(143,1)}
        69:{2,4,5,7}:{(46,1),(47,1),(93,1),(95,1),(152,1),(202,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(52,1),(91,1),(94,1),(95,1),(96,1),(151,1),(205,1),(232,1),(234,1),(243,1)}
        71:{2,4,6,7}:{(48,1),(96,1),(97,1),(108,1),(149,1),(152,1),(153,1),(193,1),(195,1),(204,1),(231,1)}
        72:{2,4,6}:{(49,1),(50,1),(51,1),(98,1),(99,1),(153,1)}
        73:{1,5,6}:{(50,1),(52,1),(99,1),(234,1)}
        74:{2,3,5,7}:{(51,1),(57,1),(98,1),(101,1),(104,1),(151,1)}
        75:{1,4,5,7}:{(51,1),(52,1),(58,1),(99,1),(101,1),(105,1),(206,1),(234,1)}
        76:{1,2,5,7}:{(52,1),(53,1),(96,1),(100,1),(103,1),(243,1)}
        77:{1,3,6,7}:{(53,1),(97,1),(103,1),(109,1),(154,1),(229,1),(230,1)}
        78:{2,4,5}:{(54,1),(55,1),(104,1),(105,1),(159,1),(208,1)}
        79:{2,3,4,6}:{(55,1),(57,1),(98,1),(104,1),(106,1),(162,1),(201,1),(204,1),(208,1)}
        80:{1,4,6}:{(55,1),(56,1),(58,1),(105,1)}
        81:{1,2,5,6}:{(56,1),(59,1),(107,1),(153,1),(159,1)}
        82:{1,3,4,7}:{(57,1),(58,1),(101,1),(106,1),(108,1),(109,1),(163,1),(206,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(107,1),(108,1),(109,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(110,1),(111,1),(170,1),(176,1),(209,1),(221,1),(238,1)}
        85:{1,3,4,7}:{(61,1),(110,1),(112,1),(130,1),(178,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(112,1),(113,1),(173,1),(214,1)}
        87:{1,3,6,7}:{(62,1),(66,1),(113,1),(114,1),(170,1)}
        88:{1,3,4,6}:{(63,1),(64,1),(67,1),(115,1),(121,1),(170,1),(176,1)}
        89:{2,5,6}:{(63,1),(65,1),(115,1),(116,1),(240,1)}
        90:{2,4,5,7}:{(64,1),(65,1),(112,1),(115,1),(117,1),(118,1),(164,1),(173,1),(220,1),(240,1)}
        91:{1,5,7}:{(65,1),(66,1),(116,1)}
        92:{1,2,4,6,7}:{(66,1),(71,1),(114,1),(119,1),(120,1),(135,1),(169,1),(171,1),(175,1),(179,1),(222,1)}
        93:{2,4,6}:{(67,1),(68,1),(69,1),(121,1)}
        94:{1,3,5,6}:{(68,1),(70,1),(73,1),(116,1),(121,1),(122,1),(125,1),(170,1),(176,1)}
        95:{1,4,5,7}:{(69,1),(70,1),(121,1),(123,1),(130,1),(175,1),(182,1),(218,1)}
        96:{2,5,7}:{(70,1),(71,1),(122,1),(223,1),(240,1)}
        97:{2,3,6,7}:{(71,1),(77,1),(120,1),(124,1),(136,1),(176,1),(180,1),(214,1),(216,1)}
        98:{2,3,6}:{(72,1),(74,1),(125,1),(176,1)}
        99:{1,4,6}:{(72,1),(73,1),(75,1),(125,1)}
       100:{1,2,5,6}:{(73,1),(76,1),(122,1),(126,1),(127,1),(215,1),(223,1)}
       101:{1,3,5,7}:{(74,1),(75,1),(82,1),(125,1),(128,1),(131,1)}
       102:{1,2,4,5,7}:{(75,1),(76,1),(83,1),(123,1),(126,1),(128,1),(129,1),(130,1),(132,1),(182,1),(184,1),(223,1)}
       103:{1,3,5,7}:{(76,1),(77,1),(124,1),(127,1),(130,1)}
       104:{2,3,5}:{(78,1),(79,1),(131,1),(221,1),(223,1)}
       105:{1,4,5}:{(78,1),(80,1),(131,1),(224,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(82,1),(125,1),(131,1),(133,1),(134,1),(187,1),(188,1),(222,1),(224,1)}
       107:{1,2,4,6}:{(80,1),(81,1),(83,1),(132,1),(133,1),(134,1)}
       108:{2,4,7}:{(82,1),(128,1),(133,1),(136,1)}
       109:{1,3,7}:{(83,1),(134,1),(136,1)}
       110:{1,3,4,6}:{(84,1),(85,1),(137,1),(138,1),(155,1),(201,1)}
       111:{2,3,5,6}:{(84,1),(86,1),(89,1),(138,1),(139,1),(143,1),(189,1),(195,1),(225,1),(228,1)}
       112:{2,4,7}:{(85,1),(86,1),(138,1),(141,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(91,1),(139,1),(141,1),(142,1),(194,1)}
       114:{1,2,6,7}:{(87,1),(142,1),(195,1)}
       115:{2,4,6}:{(88,1),(89,1),(90,1),(143,1),(144,1),(195,1)}
       116:{1,5,6}:{(89,1),(91,1),(144,1),(243,1)}
       117:{2,3,5,7}:{(90,1),(140,1),(143,1),(146,1),(151,1),(189,1)}
       118:{1,4,5,7}:{(90,1),(91,1),(141,1),(144,1),(146,1),(190,1),(233,1),(243,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(96,1),(145,1),(148,1),(234,1)}
       120:{1,3,6,7}:{(92,1),(97,1),(148,1),(163,1),(194,1),(196,1),(203,1)}
       121:{1,4,6}:{(93,1),(94,1),(95,1),(149,1)}
       122:{2,5,6}:{(94,1),(96,1),(149,1),(153,1),(195,1)}
       123:{2,4,5,7}:{(95,1),(96,1),(149,1),(151,1),(152,1),(202,1)}
       124:{2,3,5,7}:{(96,1),(97,1),(103,1),(148,1),(150,1),(151,1),(152,1)}
       125:{1,3,6}:{(98,1),(99,1),(101,1),(153,1)}
       126:{1,2,4,6}:{(99,1),(100,1),(102,1),(149,1),(153,1),(154,1),(155,1),(204,1)}
       127:{1,3,5,6}:{(100,1),(103,1),(150,1),(154,1),(155,1),(205,1),(230,1),(243,1)}
       128:{2,5,7}:{(101,1),(108,1),(153,1),(159,1)}
       129:{1,3,5,7}:{(102,1),(109,1),(151,1),(154,1),(157,1),(158,1),(160,1),(205,1)}
       130:{1,4,7}:{(103,1),(152,1),(155,1)}
       131:{1,3,5}:{(104,1),(105,1),(106,1),(159,1),(234,1)}
       132:{1,2,4,5}:{(105,1),(107,1),(159,1),(160,1),(208,1)}
       133:{2,4,6}:{(106,1),(108,1),(153,1),(159,1),(162,1),(208,1)}
       134:{1,3,6}:{(107,1),(109,1),(160,1),(162,1)}
       135:{1,2,4,7}:{(108,1),(156,1),(161,1),(163,1),(206,1)}
       136:{2,3,7}:{(108,1),(109,1),(162,1),(163,1)}
       137:{1,3,4,5}:{(110,1),(164,1),(182,1),(209,1),(221,1),(237,1)}
       138:{2,4,6}:{(110,1),(111,1),(112,1),(164,1),(166,1)}
       139:{1,3,5,6}:{(111,1),(113,1),(116,1),(166,1),(167,1),(170,1),(209,1),(212,1)}
       140:{2,3,4,7}:{(112,1),(117,1),(165,1),(168,1),(178,1),(214,1),(220,1)}
       141:{1,4,7}:{(112,1),(113,1),(166,1)}
       142:{1,2,5,7}:{(113,1),(114,1),(167,1),(169,1),(173,1)}
       143:{2,3,6}:{(115,1),(117,1),(170,1),(176,1)}
       144:{1,4,6}:{(115,1),(116,1),(118,1),(170,1)}
       145:{1,2,5,6}:{(116,1),(119,1),(122,1),(171,1),(172,1),(179,1),(240,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(168,1),(170,1),(173,1),(209,1)}
       147:{1,2,4,5,7}:{(118,1),(119,1),(123,1),(169,1),(171,1),(173,1),(174,1),(175,1),(210,1),(218,1),(220,1),(240,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(124,1),(172,1),(175,1)}
       149:{2,4,6}:{(121,1),(122,1),(123,1),(176,1)}
       150:{2,3,5,6}:{(122,1),(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(216,1),(221,1),(223,1),(240,1)}
       151:{3,5,7}:{(123,1),(176,1),(178,1),(221,1)}
       152:{2,4,7}:{(124,1),(130,1),(175,1),(177,1),(178,1)}
       153:{2,6}:{(125,1),(128,1)}
       154:{1,3,6}:{(126,1),(129,1),(176,1),(180,1)}
       155:{1,4,6}:{(127,1),(130,1),(177,1),(182,1)}
       156:{1,2,5,7}:{(128,1),(135,1),(179,1),(183,1),(185,1)}
       157:{2,3,5,7}:{(128,1),(129,1),(136,1),(180,1),(183,1),(184,1),(186,1),(223,1)}
       158:{1,3,4,7}:{(129,1),(130,1),(178,1),(181,1),(184,1),(187,1)}
       159:{2,5}:{(131,1),(133,1)}
       160:{1,3,5}:{(132,1),(134,1),(186,1),(187,1)}
       161:{1,2,4,6}:{(133,1),(135,1),(179,1),(185,1),(188,1),(222,1),(224,1)}
       162:{2,3,6}:{(133,1),(134,1),(136,1),(186,1),(188,1)}
       163:{1,3,7}:{(135,1),(136,1),(188,1)}
       164:{2,4,5}:{(137,1),(138,1),(189,1),(190,1),(225,1),(242,1)}
       165:{2,3,4,6}:{(138,1),(140,1),(143,1),(189,1),(191,1),(201,1),(228,1),(231,1),(242,1)}
       166:{1,4,6}:{(138,1),(139,1),(141,1),(190,1)}
       167:{1,2,5,6}:{(139,1),(142,1),(192,1),(195,1),(225,1)}
       168:{1,3,4,7}:{(140,1),(141,1),(146,1),(191,1),(193,1),(194,1),(229,1),(233,1)}
       169:{1,2,4,7}:{(141,1),(142,1),(192,1),(193,1),(194,1)}
       170:{1,3,6}:{(143,1),(144,1),(146,1),(195,1)}
       171:{1,2,4,6}:{(144,1),(145,1),(147,1),(149,1),(195,1),(196,1),(197,1),(231,1)}
       172:{1,3,5,6}:{(145,1),(148,1),(150,1),(196,1),(197,1),(203,1),(232,1),(234,1)}
       173:{2,5,7}:{(146,1),(193,1),(195,1),(225,1)}
       174:{1,3,5,7}:{(147,1),(151,1),(194,1),(196,1),(199,1),(200,1),(226,1),(232,1)}
       175:{1,4,7}:{(148,1),(152,1),(197,1)}
       176:{3,6}:{(149,1),(151,1)}
       177:{2,4,6}:{(150,1),(152,1),(155,1),(197,1),(201,1),(202,1)}
       178:{3,4,7}:{(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(153,1),(156,1),(203,1)}
       180:{2,3,6}:{(153,1),(154,1),(157,1),(203,1),(204,1)}
       181:{1,3,4,6}:{(154,1),(155,1),(158,1),(201,1),(204,1),(205,1)}
       182:{1,4,5}:{(155,1),(202,1),(205,1),(243,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(163,1),(203,1),(206,1),(207,1),(234,1)}
       184:{2,4,7}:{(157,1),(158,1),(204,1),(206,1),(208,1)}
       185:{1,2,5}:{(159,1),(161,1),(207,1),(234,1)}
       186:{2,3,5}:{(159,1),(160,1),(162,1),(207,1),(208,1)}
       187:{1,3,4}:{(160,1),(208,1)}
       188:{1,3,6}:{(161,1),(162,1),(163,1),(207,1)}
       189:{2,3,5}:{(164,1),(165,1),(209,1),(221,1),(240,1)}
       190:{1,4,5}:{(164,1),(166,1),(209,1),(244,1)}
       191:{1,3,4,6}:{(165,1),(166,1),(168,1),(170,1),(209,1),(211,1),(212,1),(237,1),(238,1),(239,1),(244,1)}
       192:{1,2,4,6}:{(166,1),(167,1),(169,1),(210,1),(211,1),(212,1)}
       193:{2,4,7}:{(168,1),(173,1),(211,1),(214,1)}
       194:{1,3,7}:{(169,1),(212,1),(214,1)}
       195:{2,6}:{(170,1),(173,1)}
       196:{1,3,6}:{(171,1),(174,1),(176,1),(216,1)}
       197:{1,4,6}:{(172,1),(175,1),(177,1),(218,1)}
       198:{1,2,5,7}:{(173,1),(213,1),(215,1),(219,1),(235,1)}
       199:{2,3,5,7}:{(173,1),(174,1),(214,1),(216,1),(219,1),(220,1),(236,1),(240,1)}
       200:{1,3,4,7}:{(174,1),(175,1),(178,1),(217,1),(220,1),(237,1)}
       201:{3,4,6}:{(176,1),(177,1),(178,1),(221,1)}
       202:{2,4,5}:{(177,1),(182,1),(218,1),(221,1),(223,1),(240,1)}
       203:{1,3,6}:{(179,1),(180,1),(183,1),(222,1)}
       204:{2,4,6}:{(180,1),(181,1),(184,1),(222,1),(223,1)}
       205:{1,3,5}:{(181,1),(182,1),(221,1),(223,1)}
       206:{1,4,7}:{(183,1),(184,1),(222,1),(224,1)}
       207:{1,3,5}:{(185,1),(186,1),(188,1),(224,1)}
       208:{2,4}:{(186,1),(187,1),(224,1)}
       209:{1,3,5}:{(189,1),(190,1),(191,1),(225,1),(243,1)}
       210:{1,2,4,5}:{(190,1),(192,1),(225,1),(226,1),(242,1)}
       211:{2,4,6}:{(191,1),(193,1),(195,1),(225,1),(228,1),(242,1)}
       212:{1,3,6}:{(192,1),(194,1),(226,1),(228,1)}
       213:{1,2,4,7}:{(193,1),(198,1),(227,1),(229,1),(233,1)}
       214:{2,3,7}:{(193,1),(194,1),(228,1),(229,1)}
       215:{1,2,6}:{(195,1),(198,1),(230,1)}
       216:{2,3,6}:{(195,1),(196,1),(199,1),(230,1),(231,1)}
       217:{1,3,4,6}:{(196,1),(197,1),(200,1),(201,1),(231,1),(232,1)}
       218:{1,4,5}:{(197,1),(202,1),(232,1),(234,1)}
       219:{1,3,5,7}:{(198,1),(199,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       220:{2,4,7}:{(199,1),(200,1),(231,1),(233,1),(242,1)}
       221:{3,5}:{(201,1),(202,1)}
       222:{1,4,6}:{(203,1),(204,1),(206,1),(234,1)}
       223:{2,5}:{(204,1),(205,1),(234,1)}
       224:{1,4}:{(207,1),(208,1)}
       225:{2,5}:{(209,1),(211,1)}
       226:{1,3,5}:{(210,1),(212,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(211,1),(213,1),(215,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(211,1),(212,1),(214,1),(236,1),(238,1)}
       229:{1,3,7}:{(213,1),(214,1),(238,1)}
       230:{1,3,6}:{(215,1),(216,1),(219,1),(239,1)}
       231:{2,4,6}:{(216,1),(217,1),(220,1),(239,1),(240,1)}
       232:{1,3,5}:{(217,1),(218,1),(221,1),(240,1)}
       233:{1,4,7}:{(219,1),(220,1),(239,1),(244,1)}
       234:{1,5}:{(222,1),(223,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

 513 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(31,1),(39,1),(41,1),(78,1),(90,1),(181,1),(185,1),(283,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(131,1),(237,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(53,1),(116,1),(214,1)}
         3:{1,3,4}:{(1,1),(9,1),(283,1),(287,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(78,1),(91,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(266,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(84,1),(104,1),(163,1),(181,1),(286,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(85,1),(164,1),(267,1)}
         8:{1,3,4,5}:{(3,1),(16,1),(17,1),(21,1),(50,1),(121,1),(136,1),(138,1),(221,1),(237,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(116,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(231,1),(248,1),(253,1),(331,1),(343,1),(392,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(317,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(126,1),(215,1),(344,1)}
        16:{2,4,5}:{(8,1),(9,1),(30,1),(31,1),(32,1),(39,1),(78,1),(161,1),(262,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(79,1),(165,1),(167,1),(266,1)}
        18:{2,3,4}:{(9,1),(30,1),(35,1),(91,1),(161,1),(287,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(78,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(163,1),(183,1),(196,1),(199,1),(200,1),(201,1),(266,1),(289,1),(300,1),(371,1),(373,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(164,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(283,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(176,1),(268,1),(286,1)}
        30:{2,3,5}:{(16,1),(18,1),(50,1),(51,1),(237,1)}
        31:{1,4,5}:{(16,1),(19,1),(50,1),(53,1),(64,1),(207,1),(304,1)}
        32:{2,4,6}:{(16,1),(17,1),(51,1),(53,1),(54,1),(55,1),(116,1)}
        33:{1,3,5,6}:{(17,1),(21,1),(54,1),(56,1),(57,1),(69,1),(127,1),(221,1),(324,1)}
        34:{1,3,4,7}:{(17,1),(55,1),(57,1),(118,1),(217,1),(219,1),(317,1)}
        35:{1,3,4}:{(18,1),(19,1),(50,1),(58,1),(62,1),(131,1),(207,1)}
        36:{2,3,4,6}:{(18,1),(20,1),(51,1),(59,1),(60,1),(61,1),(74,1),(119,1),(133,1),(140,1),(154,1),(211,1),(235,1),(313,1),(316,1),(333,1),(335,1),(378,1)}
        37:{1,2,4}:{(19,1),(23,1),(58,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(392,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(116,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(235,1),(396,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(215,1),(249,1),(254,1),(317,1),(389,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(331,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(35,1),(78,1),(79,1)}
        51:{2,3,6}:{(30,1),(32,1),(79,1),(81,1),(266,1)}
        52:{1,2,4,5}:{(31,1),(37,1),(78,1),(82,1),(83,1),(98,1),(161,1),(185,1),(192,1),(262,1),(274,1)}
        53:{1,4,6}:{(31,1),(32,1),(79,1),(84,1),(85,1)}
        54:{2,5,6}:{(32,1),(33,1),(39,1),(84,1),(87,1),(104,1),(262,1),(354,1)}
        55:{2,4,7}:{(32,1),(34,1),(81,1),(85,1),(87,1),(164,1)}
        56:{1,4,5,6}:{(33,1),(41,1),(86,1),(88,1),(105,1),(165,1),(274,1),(278,1),(294,1),(363,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(87,1),(88,1),(89,1),(177,1)}
        58:{2,4}:{(35,1),(78,1),(91,1)}
        59:{1,3,4,6}:{(35,1),(36,1),(38,1),(79,1),(92,1),(93,1),(94,1),(97,1),(165,1),(180,1),(189,1),(192,1),(203,1),(257,1),(266,1),(283,1),(287,1),(297,1),(357,1),(367,1),(369,1),(370,1),(401,1)}
        60:{2,3,5}:{(36,1),(39,1),(93,1),(95,1),(102,1),(196,1),(262,1),(352,1),(371,1),(398,1)}
        61:{2,3,4,7}:{(36,1),(40,1),(81,1),(94,1),(96,1),(111,1),(168,1),(184,1),(204,1),(263,1),(288,1),(355,1),(358,1),(402,1)}
        62:{1,3}:{(37,1),(91,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(92,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(411,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(371,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(163,1),(195,1),(196,1),(278,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(164,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(266,1),(287,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(410,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(268,1),(289,1),(300,1),(359,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(367,1)}
        78:{2,5}:{(50,1),(58,1),(116,1)}
        79:{1,3,6}:{(50,1),(51,1),(53,1),(116,1),(118,1)}
        80:{2,3,5,6}:{(51,1),(54,1),(60,1),(117,1),(119,1),(120,1),(127,1),(140,1),(226,1),(243,1),(316,1)}
        81:{2,3,7}:{(51,1),(55,1),(118,1),(317,1)}
        82:{1,3,5}:{(52,1),(62,1),(115,1),(121,1),(122,1),(237,1)}
        83:{1,2,4,6}:{(52,1),(53,1),(116,1),(122,1),(123,1),(124,1),(211,1),(214,1),(223,1)}
        84:{1,5,6}:{(53,1),(54,1),(64,1),(126,1),(147,1),(304,1),(377,1)}
        85:{1,4,7}:{(53,1),(55,1),(118,1),(126,1)}
        86:{2,4,5,6}:{(54,1),(56,1),(66,1),(119,1),(125,1),(127,1),(128,1),(149,1),(214,1),(226,1),(243,1),(311,1),(338,1),(339,1),(384,1),(396,1)}
        87:{2,5,7}:{(54,1),(55,1),(57,1),(126,1),(129,1)}
        88:{1,4,5,7}:{(56,1),(57,1),(128,1),(130,1),(217,1),(321,1),(326,1)}
        89:{1,3,6,7}:{(57,1),(69,1),(129,1),(130,1),(229,1),(324,1)}
        90:{1,2,4}:{(58,1),(114,1),(131,1),(207,1)}
        91:{2,3}:{(58,1),(62,1),(131,1)}
        92:{2,4,6}:{(58,1),(59,1),(116,1),(133,1),(134,1),(135,1),(235,1),(239,1),(387,1),(394,1)}
        93:{1,3,5}:{(59,1),(60,1),(64,1),(134,1),(136,1),(237,1),(248,1),(304,1),(341,1),(392,1),(395,1),(414,1)}
        94:{1,3,4,7}:{(59,1),(61,1),(65,1),(118,1),(135,1),(137,1),(142,1),(217,1),(232,1),(245,1),(255,1),(305,1),(317,1),(330,1),(334,1),(388,1),(418,1)}
        95:{2,4,5}:{(60,1),(119,1),(136,1),(138,1),(235,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(67,1),(137,1),(139,1),(140,1),(148,1),(249,1),(312,1),(383,1),(415,1)}
        97:{1,3,6}:{(62,1),(63,1),(133,1),(141,1),(142,1),(422,1)}
        98:{1,2,5}:{(63,1),(64,1),(134,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(135,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(214,1),(319,1),(387,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(215,1),(249,1),(326,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(317,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(335,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(392,1)}
       114:{1,2,5}:{(78,1),(90,1),(159,1),(160,1)}
       115:{2,3,5}:{(78,1),(82,1),(91,1),(159,1),(161,1),(162,1),(262,1)}
       116:{2,6}:{(78,1),(79,1),(164,1)}
       117:{1,3,5,6}:{(79,1),(80,1),(84,1),(93,1),(163,1),(165,1),(166,1),(189,1),(266,1),(278,1),(294,1),(357,1),(373,1)}
       118:{1,3,7}:{(79,1),(81,1),(85,1),(164,1)}
       119:{2,4,6}:{(80,1),(95,1),(165,1),(167,1),(168,1)}
       120:{2,3,5,7}:{(80,1),(81,1),(87,1),(166,1),(168,1),(169,1),(177,1),(273,1),(279,1),(358,1)}
       121:{1,3,4}:{(82,1),(161,1),(192,1),(287,1)}
       122:{1,3,6}:{(82,1),(83,1),(162,1),(172,1),(266,1)}
       123:{1,2,5,6}:{(83,1),(84,1),(98,1),(163,1),(171,1),(173,1),(195,1),(262,1),(354,1),(404,1)}
       124:{1,2,4,7}:{(83,1),(85,1),(164,1),(172,1),(173,1),(263,1),(267,1),(276,1)}
       125:{1,4,5,6}:{(84,1),(86,1),(100,1),(165,1),(174,1),(175,1),(198,1),(294,1),(345,1),(400,1)}
       126:{1,5,7}:{(84,1),(85,1),(87,1),(176,1)}
       127:{3,5,6}:{(86,1),(102,1),(167,1),(177,1),(199,1),(266,1),(352,1),(406,1)}
       128:{2,4,5,7}:{(86,1),(87,1),(88,1),(168,1),(175,1),(177,1),(178,1),(267,1),(273,1),(279,1),(360,1),(362,1),(410,1)}
       129:{2,6,7}:{(87,1),(89,1),(104,1),(176,1),(354,1)}
       130:{1,4,6,7}:{(88,1),(89,1),(105,1),(178,1),(179,1),(363,1),(365,1)}
       131:{1,3}:{(90,1),(91,1)}
       132:{1,2,4,6}:{(90,1),(92,1),(160,1),(180,1),(181,1),(182,1),(203,1),(257,1),(283,1),(286,1),(302,1),(367,1),(374,1)}
       133:{2,3,6}:{(91,1),(92,1),(97,1),(180,1),(183,1),(184,1),(266,1),(412,1)}
       134:{2,5}:{(92,1),(93,1)}
       135:{2,4,7}:{(92,1),(94,1),(164,1),(184,1),(186,1),(409,1)}
       136:{1,4,5}:{(93,1),(95,1),(165,1),(185,1),(192,1),(283,1),(413,1)}
       137:{1,3,5,7}:{(93,1),(94,1),(96,1),(101,1),(186,1),(188,1),(189,1),(291,1),(299,1),(346,1),(423,1)}
       138:{3,4,5}:{(95,1),(102,1),(167,1),(287,1),(352,1),(413,1)}
       139:{2,4,5,7}:{(95,1),(96,1),(168,1),(188,1),(190,1),(191,1),(273,1),(288,1),(371,1)}
       140:{2,3,6}:{(96,1),(104,1),(189,1),(191,1),(199,1),(300,1),(354,1),(406,1),(424,1)}
       141:{1,3,5}:{(97,1),(98,1),(183,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(184,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(185,1),(192,1),(194,1),(196,1),(293,1),(296,1),(372,1),(411,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(186,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(266,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(267,1),(361,1),(409,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(268,1),(300,1),(365,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(359,1),(370,1),(410,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(371,1)}
       159:{1,3,5}:{(114,1),(115,1),(131,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(116,1),(208,1),(210,1)}
       161:{2,4}:{(115,1),(121,1),(207,1)}
       162:{2,3,6}:{(115,1),(116,1),(122,1),(208,1),(211,1),(213,1)}
       163:{2,5,6}:{(116,1),(117,1),(134,1),(214,1),(215,1),(239,1),(387,1)}
       164:{2,7}:{(116,1),(118,1)}
       165:{1,4,6}:{(117,1),(119,1),(136,1),(214,1),(217,1),(396,1)}
       166:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(215,1),(217,1),(218,1),(317,1),(321,1),(326,1),(388,1),(389,1)}
       167:{3,4,6}:{(119,1),(127,1),(138,1),(219,1),(396,1)}
       168:{2,4,7}:{(119,1),(120,1),(217,1),(219,1)}
       169:{2,3,6,7}:{(120,1),(129,1),(140,1),(218,1),(220,1),(229,1),(327,1)}
       170:{1,3,4,6}:{(121,1),(122,1),(211,1),(221,1),(222,1),(223,1),(313,1),(324,1)}
       171:{1,3,5,6}:{(122,1),(123,1),(141,1),(212,1),(221,1),(223,1),(224,1),(246,1),(324,1),(341,1),(381,1),(390,1),(414,1),(426,1)}
       172:{1,3,7}:{(122,1),(124,1),(213,1),(317,1)}
       173:{1,2,5,7}:{(123,1),(124,1),(126,1),(215,1),(224,1),(225,1),(312,1),(419,1)}
       174:{1,3,5,6}:{(125,1),(127,1),(145,1),(216,1),(226,1),(227,1),(250,1),(375,1),(416,1)}
       175:{1,4,5,7}:{(125,1),(126,1),(128,1),(217,1),(227,1),(228,1),(321,1)}
       176:{1,6,7}:{(126,1),(129,1),(147,1),(377,1)}
       177:{3,5,7}:{(127,1),(128,1),(219,1),(229,1),(317,1)}
       178:{2,4,6,7}:{(128,1),(129,1),(130,1),(149,1),(228,1),(229,1),(230,1),(327,1),(328,1),(384,1)}
       179:{1,5,6,7}:{(130,1),(150,1),(230,1),(321,1),(390,1)}
       180:{1,3,6}:{(131,1),(132,1),(133,1),(231,1),(232,1),(397,1)}
       181:{1,2,5}:{(132,1),(134,1),(231,1),(248,1),(304,1),(392,1)}
       182:{1,2,4,7}:{(132,1),(135,1),(210,1),(232,1),(234,1),(255,1),(305,1),(330,1),(344,1)}
       183:{2,3,5}:{(133,1),(134,1),(141,1),(231,1),(235,1),(237,1)}
       184:{2,3,7}:{(133,1),(135,1),(142,1),(232,1),(317,1)}
       185:{2,4,5}:{(134,1),(136,1),(214,1),(235,1),(237,1)}
       186:{2,5,7}:{(134,1),(135,1),(137,1),(239,1)}
       187:{1,3,4,5}:{(136,1),(138,1),(145,1),(216,1),(237,1),(240,1),(244,1),(329,1),(336,1),(375,1)}
       188:{1,4,5,7}:{(136,1),(137,1),(139,1),(217,1),(238,1),(241,1),(245,1),(321,1),(330,1),(341,1),(392,1)}
       189:{1,3,6}:{(137,1),(140,1),(147,1),(239,1),(241,1),(337,1),(343,1),(377,1),(426,1)}
       190:{3,4,5,7}:{(138,1),(139,1),(148,1),(219,1),(242,1),(256,1),(322,1),(334,1),(383,1),(395,1),(421,1)}
       191:{2,4,6}:{(139,1),(140,1),(241,1),(242,1),(243,1)}
       192:{1,4}:{(141,1),(235,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(236,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(237,1),(244,1),(247,1),(422,1)}
       195:{1,2,6}:{(144,1),(147,1),(239,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(387,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(317,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(395,1)}
       207:{1,4}:{(159,1),(161,1)}
       208:{1,3,6}:{(159,1),(160,1),(162,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(163,1),(181,1),(258,1),(260,1),(261,1),(278,1),(286,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(164,1),(259,1)}
       211:{2,4,6}:{(161,1),(162,1),(170,1),(257,1),(262,1),(263,1),(354,1)}
       212:{2,3,5,6}:{(162,1),(163,1),(171,1),(183,1),(258,1),(262,1),(264,1),(265,1),(266,1),(289,1),(350,1),(352,1),(354,1),(371,1),(373,1),(398,1),(406,1),(407,1),(424,1)}
       213:{2,3,7}:{(162,1),(164,1),(172,1),(259,1),(263,1)}
       214:{2,4,6}:{(163,1),(165,1),(185,1),(266,1),(267,1)}
       215:{2,5,7}:{(163,1),(164,1),(166,1),(267,1),(268,1),(409,1)}
       216:{1,3,4,6}:{(165,1),(167,1),(174,1),(187,1),(266,1),(269,1),(270,1),(357,1)}
       217:{1,4,7}:{(165,1),(166,1),(168,1),(267,1),(410,1)}
       218:{1,3,6,7}:{(166,1),(169,1),(176,1),(189,1),(268,1),(271,1),(359,1),(365,1)}
       219:{3,4,7}:{(167,1),(168,1),(177,1),(410,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(191,1),(271,1),(272,1),(273,1)}
       221:{1,3,5}:{(170,1),(262,1),(274,1),(352,1)}
       222:{1,3,4,7}:{(170,1),(172,1),(263,1),(275,1),(276,1),(355,1)}
       223:{1,4,6}:{(171,1),(192,1),(264,1),(274,1),(276,1)}
       224:{1,3,5,7}:{(171,1),(172,1),(173,1),(265,1),(276,1),(277,1),(364,1),(405,1),(423,1)}
       225:{1,2,6,7}:{(173,1),(176,1),(195,1),(268,1),(277,1),(354,1)}
       226:{2,5,6}:{(174,1),(196,1),(269,1),(278,1),(279,1),(300,1),(398,1),(424,1)}
       227:{1,3,5,7}:{(174,1),(175,1),(177,1),(270,1),(279,1),(280,1)}
       228:{1,4,6,7}:{(175,1),(176,1),(178,1),(198,1),(280,1),(281,1),(400,1)}
       229:{3,6,7}:{(177,1),(178,1),(199,1),(406,1)}
       230:{2,5,6,7}:{(178,1),(179,1),(200,1),(273,1),(281,1),(282,1),(360,1),(407,1)}
       231:{1,3,5}:{(180,1),(181,1),(183,1),(283,1)}
       232:{1,3,7}:{(180,1),(182,1),(184,1)}
       233:{1,2,4,5}:{(181,1),(185,1),(260,1),(283,1),(285,1),(293,1),(345,1),(366,1),(372,1),(374,1),(398,1)}
       234:{1,2,5,7}:{(181,1),(182,1),(186,1),(284,1),(286,1),(299,1),(346,1)}
       235:{2,4}:{(183,1),(192,1),(283,1),(287,1)}
       236:{2,3,5,7}:{(183,1),(184,1),(186,1),(193,1),(284,1),(288,1),(289,1),(291,1),(371,1)}
       237:{3,5}:{(185,1),(266,1),(287,1)}
       238:{2,4,5,7}:{(185,1),(186,1),(188,1),(267,1),(288,1),(291,1),(292,1),(360,1),(371,1),(410,1),(413,1)}
       239:{2,6}:{(186,1),(189,1)}
       240:{2,4,5}:{(187,1),(196,1),(269,1),(290,1),(293,1),(296,1),(366,1),(372,1),(398,1)}
       241:{1,4,6}:{(188,1),(189,1),(191,1),(292,1),(294,1)}
       242:{3,4,6}:{(190,1),(191,1),(199,1),(295,1),(301,1),(406,1),(425,1)}
       243:{2,5,6}:{(191,1),(273,1),(294,1),(295,1),(371,1)}
       244:{1,3,4}:{(192,1),(194,1),(287,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(288,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(289,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(372,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(409,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(410,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(211,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(212,1),(231,1),(304,1),(306,1),(307,1),(308,1),(331,1),(375,1),(377,1),(392,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(213,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(214,1),(233,1),(306,1),(308,1),(309,1),(319,1),(378,1),(387,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(215,1),(307,1),(309,1),(310,1),(326,1),(415,1)}
       262:{2,5}:{(211,1),(221,1),(304,1)}
       263:{2,4,7}:{(211,1),(213,1),(222,1),(305,1),(312,1)}
       264:{2,4,6}:{(212,1),(223,1),(235,1),(306,1),(311,1),(313,1),(314,1),(396,1)}
       265:{2,3,5,7}:{(212,1),(213,1),(215,1),(224,1),(307,1),(312,1),(314,1),(315,1),(317,1),(382,1),(383,1),(386,1),(389,1),(415,1)}
       266:{3,6}:{(214,1),(237,1),(317,1)}
       267:{2,4,7}:{(214,1),(215,1),(217,1),(317,1)}
       268:{2,6,7}:{(215,1),(218,1),(239,1)}
       269:{2,4,6}:{(216,1),(226,1),(240,1),(316,1),(319,1),(320,1),(387,1)}
       270:{1,3,4,7}:{(216,1),(217,1),(219,1),(227,1),(317,1),(320,1),(388,1)}
       271:{1,4,6,7}:{(217,1),(218,1),(220,1),(241,1),(318,1),(321,1)}
       272:{3,4,6,7}:{(219,1),(220,1),(229,1),(242,1),(322,1),(328,1)}
       273:{2,5,7}:{(220,1),(243,1),(321,1),(322,1)}
       274:{1,4,5}:{(221,1),(223,1),(311,1),(341,1),(414,1)}
       275:{1,3,5,7}:{(221,1),(222,1),(312,1),(323,1),(324,1),(383,1)}
       276:{1,4,7}:{(223,1),(224,1),(314,1)}
       277:{1,3,6,7}:{(224,1),(225,1),(246,1),(315,1),(324,1),(325,1),(426,1)}
       278:{1,5,6}:{(226,1),(248,1),(319,1),(326,1),(343,1),(414,1),(426,1)}
       279:{2,5,7}:{(226,1),(227,1),(320,1),(326,1),(327,1)}
       280:{1,3,6,7}:{(227,1),(228,1),(229,1),(250,1),(327,1),(416,1)}
       281:{1,5,6,7}:{(228,1),(230,1),(251,1),(321,1),(417,1)}
       282:{3,5,6,7}:{(229,1),(230,1),(252,1),(322,1),(328,1),(389,1),(420,1)}
       283:{1,4}:{(231,1),(235,1)}
       284:{1,3,5,7}:{(231,1),(232,1),(234,1),(236,1),(330,1),(331,1),(392,1)}
       285:{1,3,5}:{(233,1),(237,1),(308,1),(329,1),(332,1),(397,1)}
       286:{1,2,6}:{(234,1),(239,1),(331,1),(343,1),(377,1)}
       287:{3,4}:{(235,1),(237,1)}
       288:{2,4,7}:{(235,1),(236,1),(245,1),(330,1),(334,1),(335,1)}
       289:{2,3,6}:{(236,1),(239,1),(246,1),(331,1),(335,1),(337,1)}
       290:{2,3,5}:{(237,1),(240,1),(316,1),(333,1),(336,1)}
       291:{3,5,7}:{(237,1),(238,1),(317,1),(334,1),(337,1),(395,1)}
       292:{2,4,6}:{(238,1),(239,1),(241,1),(337,1),(338,1),(396,1)}
       293:{1,4,5}:{(240,1),(248,1),(319,1),(336,1),(340,1),(391,1),(414,1)}
       294:{1,5,6}:{(241,1),(243,1),(321,1),(338,1),(341,1),(392,1)}
       295:{3,5,6}:{(242,1),(243,1),(322,1),(339,1),(395,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(335,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(387,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(262,1)}
       305:{1,4,7}:{(257,1),(259,1),(263,1),(346,1)}
       306:{1,4,6}:{(258,1),(264,1),(283,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(265,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(266,1),(285,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(267,1),(348,1),(351,1),(361,1),(402,1),(409,1)}
       310:{1,2,6,7}:{(261,1),(268,1),(286,1),(349,1),(365,1),(424,1)}
       311:{2,4,5}:{(262,1),(264,1),(274,1),(345,1),(352,1),(371,1),(398,1),(413,1)}
       312:{2,5,7}:{(262,1),(263,1),(275,1),(346,1),(354,1)}
       313:{3,4,6}:{(264,1),(266,1),(287,1),(352,1),(355,1),(406,1)}
       314:{2,4,7}:{(264,1),(265,1),(276,1),(348,1),(355,1),(410,1)}
       315:{2,3,6,7}:{(265,1),(268,1),(277,1),(289,1),(349,1),(354,1),(356,1),(359,1),(406,1),(424,1)}
       316:{2,3,6}:{(266,1),(269,1),(290,1),(357,1),(358,1)}
       317:{3,7}:{(266,1),(267,1)}
       318:{2,4,6,7}:{(267,1),(268,1),(271,1),(292,1),(359,1),(360,1),(410,1)}
       319:{1,4,6}:{(269,1),(278,1),(293,1),(357,1),(361,1)}
       320:{2,4,7}:{(269,1),(270,1),(279,1),(358,1),(361,1),(409,1)}
       321:{1,5,7}:{(271,1),(273,1),(294,1),(360,1)}
       322:{3,5,7}:{(272,1),(273,1),(295,1),(362,1)}
       323:{1,4,5,7}:{(274,1),(275,1),(276,1),(353,1),(363,1),(364,1),(423,1)}
       324:{1,3,6}:{(275,1),(354,1),(363,1),(406,1)}
       325:{1,4,6,7}:{(276,1),(277,1),(297,1),(356,1),(363,1),(364,1)}
       326:{1,5,7}:{(278,1),(279,1),(361,1),(365,1)}
       327:{2,6,7}:{(279,1),(280,1),(300,1),(365,1),(424,1)}
       328:{4,6,7}:{(282,1),(301,1),(362,1),(410,1),(425,1)}
       329:{1,3,4}:{(283,1),(285,1),(287,1),(366,1)}
       330:{1,4,7}:{(283,1),(284,1),(288,1),(367,1)}
       331:{1,3,6}:{(284,1),(286,1),(289,1),(367,1)}
       332:{2,3,5}:{(285,1),(350,1),(366,1),(368,1),(372,1),(398,1),(412,1)}
       333:{2,3,4}:{(287,1),(290,1),(296,1),(366,1),(369,1),(412,1)}
       334:{3,4,7}:{(287,1),(288,1),(291,1),(370,1),(410,1)}
       335:{2,4,6}:{(288,1),(289,1),(297,1),(367,1),(370,1),(371,1)}
       336:{1,3,5}:{(290,1),(293,1),(357,1),(369,1),(372,1)}
       337:{3,6}:{(291,1),(292,1)}
       338:{2,5,6}:{(292,1),(294,1),(360,1),(371,1),(373,1)}
       339:{4,5,6}:{(295,1),(301,1),(362,1),(413,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(371,1)}
       342:{1,2,5}:{(298,1),(302,1),(372,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(409,1)}
       345:{1,4,5}:{(304,1),(306,1),(311,1),(375,1),(392,1)}
       346:{1,5,7}:{(304,1),(305,1),(312,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(313,1),(329,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(314,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(315,1),(331,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(332,1),(378,1),(381,1),(382,1),(387,1)}
       351:{1,3,7}:{(308,1),(309,1),(317,1),(382,1)}
       352:{3,5}:{(311,1),(313,1)}
       353:{2,4,5,7}:{(311,1),(312,1),(314,1),(323,1),(376,1),(383,1),(384,1),(386,1),(415,1),(421,1)}
       354:{2,6}:{(312,1),(324,1),(377,1)}
       355:{3,4,7}:{(313,1),(314,1),(317,1),(383,1)}
       356:{2,4,6,7}:{(314,1),(315,1),(325,1),(335,1),(380,1),(384,1),(385,1),(386,1)}
       357:{1,3,6}:{(316,1),(319,1),(336,1),(387,1),(388,1)}
       358:{2,3,7}:{(316,1),(317,1),(320,1),(388,1)}
       359:{3,6,7}:{(317,1),(318,1),(337,1),(389,1)}
       360:{2,5,7}:{(318,1),(321,1),(338,1),(389,1)}
       361:{1,4,7}:{(319,1),(320,1),(326,1),(388,1)}
       362:{4,5,7}:{(322,1),(328,1),(339,1)}
       363:{1,4,6}:{(323,1),(324,1),(384,1),(390,1),(426,1)}
       364:{1,5,7}:{(325,1),(341,1),(386,1),(390,1)}
       365:{1,6,7}:{(326,1),(327,1),(343,1),(426,1)}
       366:{2,4}:{(329,1),(332,1),(391,1)}
       367:{1,4,6}:{(330,1),(331,1),(335,1),(392,1)}
       368:{1,3,5}:{(332,1),(381,1),(391,1),(393,1),(414,1),(422,1)}
       369:{1,3,4}:{(333,1),(336,1),(340,1),(391,1),(394,1),(397,1),(422,1)}
       370:{3,4,6}:{(334,1),(335,1),(337,1),(395,1),(396,1)}
       371:{2,5}:{(335,1),(341,1),(392,1),(395,1)}
       372:{2,5}:{(336,1),(387,1),(394,1)}
       373:{3,5,6}:{(337,1),(338,1),(389,1),(395,1),(396,1)}
       374:{1,2,4}:{(340,1),(342,1),(394,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(352,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(353,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(354,1)}
       378:{2,4,6}:{(347,1),(350,1),(366,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(355,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(356,1),(367,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(368,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(409,1)}
       383:{3,5,7}:{(352,1),(353,1),(355,1),(406,1)}
       384:{2,4,6}:{(353,1),(354,1),(363,1),(400,1),(406,1),(407,1),(424,1),(425,1)}
       385:{3,4,6,7}:{(355,1),(356,1),(359,1),(370,1),(406,1),(408,1),(410,1),(425,1)}
       386:{2,5,7}:{(356,1),(364,1),(371,1),(403,1),(407,1),(408,1)}
       387:{2,6}:{(357,1),(372,1),(409,1)}
       388:{1,3,7}:{(357,1),(358,1),(361,1),(409,1)}
       389:{3,5,7}:{(359,1),(360,1),(373,1),(410,1)}
       390:{1,5,6}:{(363,1),(364,1),(407,1)}
       391:{1,4}:{(366,1),(368,1)}
       392:{1,5}:{(367,1),(371,1)}
       393:{1,2,5}:{(368,1),(372,1),(404,1),(411,1)}
       394:{2,4}:{(369,1),(372,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(413,1)}
       396:{4,6}:{(373,1),(410,1),(413,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(383,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(384,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(391,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(386,1),(392,1),(417,1)}
       404:{1,2,6}:{(381,1),(387,1),(393,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{3,6}:{(383,1),(384,1)}
       407:{2,5,6}:{(384,1),(386,1),(390,1),(417,1),(420,1)}
       408:{3,5,7}:{(385,1),(386,1),(395,1),(420,1),(421,1)}
       409:{2,7}:{(387,1),(388,1)}
       410:{4,7}:{(389,1),(396,1)}
       411:{1,2,4}:{(391,1),(393,1),(394,1),(422,1)}
       412:{2,3}:{(394,1),(397,1),(422,1)}
       413:{4,5}:{(395,1),(396,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(406,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(407,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(409,1)}
       420:{3,5,6}:{(406,1),(407,1),(408,1),(425,1)}
       421:{4,5,7}:{(408,1),(410,1),(413,1),(425,1)}
       422:{1,3}:{(411,1),(412,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 514 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 515 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 516 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 517 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(14,1),(19,1),(165,1)}
         1:{1,3,7}:{(0,1),(5,1),(8,1),(171,1),(173,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(28,1),(112,1),(152,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(36,1),(37,1)}
         4:{1,2,7}:{(11,1),(13,1),(161,1),(187,1)}
         5:{2,3,7}:{(1,1),(11,1),(14,1),(16,1),(141,1),(161,1),(179,1)}
         6:{1,3,4,7}:{(1,1),(14,1),(17,1),(18,1),(19,1),(49,1),(100,1),(141,1),(166,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(15,1),(19,1),(20,1),(21,1),(56,1),(88,1),(123,1),(136,1)}
         8:{1,3,6}:{(1,1),(3,1),(16,1),(21,1),(162,1)}
         9:{1,2,6}:{(2,1),(20,1),(47,1)}
        10:{1,2,5}:{(3,1),(21,1),(48,1),(56,1),(138,1)}
        11:{1,3,7}:{(4,1),(5,1),(22,1),(24,1),(184,1)}
        12:{1,2,5,7}:{(4,1),(23,1),(25,1),(26,1),(27,1),(65,1),(101,1)}
        13:{1,2,6}:{(4,1),(24,1),(27,1),(148,1)}
        14:{2,4,7}:{(5,1),(6,1),(22,1),(28,1),(29,1),(174,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(31,1),(32,1),(63,1),(67,1),(73,1),(101,1),(114,1)}
        16:{2,3,6}:{(5,1),(8,1),(24,1),(29,1),(32,1),(121,1),(148,1)}
        17:{1,3,5,7}:{(6,1),(28,1),(33,1),(34,1),(35,1),(67,1),(172,1),(181,1)}
        18:{1,3,4,6}:{(6,1),(8,1),(29,1),(34,1),(35,1),(36,1),(37,1),(72,1),(74,1),(78,1),(121,1)}
        19:{1,4,7}:{(7,1),(30,1),(36,1),(37,1),(153,1)}
        20:{1,3,6}:{(7,1),(9,1),(31,1),(36,1),(142,1)}
        21:{1,3,5}:{(8,1),(10,1),(32,1),(37,1),(116,1),(149,1)}
        22:{1,4,7}:{(11,1),(14,1),(38,1),(39,1),(180,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(15,1),(38,1),(40,1),(41,1),(42,1),(43,1),(86,1),(90,1)}
        24:{1,3,6}:{(11,1),(13,1),(16,1),(39,1),(42,1)}
        25:{1,2,4,7}:{(12,1),(40,1),(43,1),(44,1),(45,1),(84,1)}
        26:{1,2,6}:{(12,1),(41,1),(124,1)}
        27:{1,2,5}:{(13,1),(42,1),(45,1),(130,1)}
        28:{2,5,7}:{(14,1),(17,1),(38,1),(47,1),(48,1),(178,1),(185,1)}
        29:{2,4,6}:{(14,1),(16,1),(18,1),(39,1),(47,1),(48,1),(51,1)}
        30:{2,4,7}:{(15,1),(19,1),(40,1),(49,1),(50,1),(51,1),(137,1)}
        31:{2,3,6}:{(15,1),(20,1),(41,1),(47,1),(50,1),(92,1),(124,1)}
        32:{2,3,5}:{(16,1),(21,1),(42,1),(48,1),(51,1),(91,1),(97,1),(130,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(46,1),(52,1),(55,1),(56,1),(99,1),(100,1),(123,1),(163,1),(175,1)}
        34:{1,3,6}:{(17,1),(47,1),(52,1),(92,1)}
        35:{1,3,5}:{(18,1),(48,1),(55,1),(56,1),(97,1),(98,1)}
        36:{1,4,6}:{(19,1),(20,1),(50,1),(56,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,5,7}:{(22,1),(28,1),(58,1),(59,1),(183,1),(188,1)}
        39:{1,4,6}:{(22,1),(24,1),(29,1),(58,1),(59,1),(62,1)}
        40:{1,4,7}:{(23,1),(30,1),(61,1),(62,1),(115,1)}
        41:{1,3,6}:{(23,1),(26,1),(31,1),(58,1),(61,1)}
        42:{1,3,5}:{(24,1),(27,1),(32,1),(59,1),(62,1),(66,1)}
        43:{1,3,7}:{(25,1),(63,1),(64,1),(66,1),(188,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(61,1),(64,1),(65,1),(109,1),(115,1)}
        45:{1,2,4}:{(27,1),(62,1),(66,1),(111,1)}
        46:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(67,1),(68,1),(71,1),(73,1),(101,1),(119,1),(120,1),(122,1),(151,1),(155,1),(169,1)}
        47:{2,6}:{(28,1),(34,1),(58,1)}
        48:{2,5}:{(29,1),(35,1),(59,1)}
        49:{3,4,7}:{(30,1),(67,1),(72,1),(74,1),(154,1),(155,1)}
        50:{2,4,6}:{(30,1),(31,1),(36,1),(61,1),(72,1),(73,1)}
        51:{2,4}:{(32,1),(37,1),(62,1),(74,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(76,1),(142,1)}
        53:{1,3,6,7}:{(34,1),(69,1),(75,1),(77,1),(117,1),(181,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(70,1),(76,1),(77,1),(78,1),(118,1),(121,1)}
        55:{1,4,5}:{(35,1),(37,1),(71,1),(78,1),(122,1),(149,1)}
        56:{1,5}:{(36,1),(73,1)}
        57:{1,4,5,7}:{(38,1),(40,1),(46,1),(79,1),(80,1),(83,1),(86,1),(127,1),(128,1),(133,1),(160,1)}
        58:{1,6}:{(38,1),(47,1)}
        59:{1,5}:{(39,1),(48,1)}
        60:{1,3,4,7}:{(40,1),(43,1),(49,1),(79,1),(84,1),(85,1),(87,1),(160,1),(177,1)}
        61:{1,4,6}:{(40,1),(41,1),(50,1),(86,1)}
        62:{1,4}:{(42,1),(51,1)}
        63:{2,3,7}:{(43,1),(84,1),(88,1),(89,1),(91,1),(177,1),(185,1)}
        64:{1,3,6}:{(43,1),(44,1),(89,1),(90,1),(186,1)}
        65:{1,2,5}:{(44,1),(86,1),(90,1),(132,1),(187,1)}
        66:{1,3}:{(45,1),(91,1)}
        67:{3,5,7}:{(46,1),(49,1),(92,1),(97,1),(98,1),(141,1),(164,1),(177,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(92,1),(94,1),(124,1),(140,1)}
        69:{2,6,7}:{(47,1),(53,1),(81,1),(95,1),(185,1)}
        70:{2,5,6}:{(47,1),(48,1),(54,1),(82,1),(95,1),(96,1)}
        71:{2,4,5}:{(48,1),(51,1),(55,1),(83,1),(96,1),(97,1),(130,1)}
        72:{3,4,6}:{(49,1),(50,1),(92,1),(98,1),(140,1)}
        73:{2,5}:{(50,1),(56,1),(86,1),(98,1)}
        74:{3,4}:{(51,1),(97,1)}
        75:{1,4,6,7}:{(52,1),(53,1),(93,1),(99,1),(100,1),(156,1),(175,1)}
        76:{1,5,6}:{(52,1),(56,1),(94,1),(99,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(95,1),(99,1),(100,1),(139,1),(141,1)}
        78:{1,4,6}:{(54,1),(55,1),(96,1),(100,1),(140,1),(162,1)}
        79:{1,3,5,7}:{(57,1),(60,1),(67,1),(101,1),(102,1),(107,1),(110,1),(147,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(102,1),(104,1)}
        81:{1,6,7}:{(58,1),(69,1),(105,1),(188,1)}
        82:{1,5,6}:{(58,1),(59,1),(70,1),(105,1),(106,1)}
        83:{1,4,5}:{(59,1),(62,1),(71,1),(106,1),(107,1)}
        84:{2,4,7}:{(60,1),(63,1),(101,1),(108,1),(109,1),(111,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(64,1),(72,1),(102,1),(109,1),(110,1),(115,1),(146,1),(154,1),(170,1)}
        86:{1,5}:{(61,1),(73,1)}
        87:{1,3,4}:{(62,1),(66,1),(74,1),(107,1),(111,1)}
        88:{1,3,7}:{(63,1),(108,1),(112,1),(113,1),(116,1)}
        89:{2,3,6}:{(63,1),(64,1),(109,1),(113,1),(114,1),(170,1),(182,1)}
        90:{1,3,5}:{(64,1),(65,1),(114,1),(115,1),(183,1),(184,1)}
        91:{2,3}:{(66,1),(111,1),(116,1)}
        92:{3,6}:{(67,1),(68,1)}
        93:{2,4,6,7}:{(68,1),(69,1),(75,1),(103,1),(117,1),(119,1),(120,1),(143,1),(155,1),(169,1)}
        94:{2,5,6}:{(68,1),(73,1),(76,1),(104,1),(118,1),(119,1)}
        95:{2,5,7}:{(69,1),(70,1),(77,1),(105,1),(120,1)}
        96:{2,4,6}:{(70,1),(71,1),(78,1),(106,1),(120,1),(121,1),(148,1)}
        97:{3,5}:{(71,1),(74,1),(121,1)}
        98:{3,5}:{(72,1),(73,1),(122,1)}
        99:{1,5,7}:{(75,1),(76,1),(119,1)}
       100:{1,4,7}:{(77,1),(78,1),(120,1),(155,1),(171,1)}
       101:{2,5,7}:{(79,1),(84,1),(123,1),(124,1),(130,1),(132,1),(161,1)}
       102:{1,3,6}:{(79,1),(80,1),(92,1),(124,1)}
       103:{1,4,6,7}:{(80,1),(81,1),(93,1),(125,1),(127,1),(128,1),(160,1)}
       104:{1,5,6}:{(80,1),(86,1),(94,1),(127,1)}
       105:{1,5,7}:{(81,1),(82,1),(95,1),(128,1)}
       106:{1,4,6}:{(82,1),(83,1),(96,1),(128,1),(129,1)}
       107:{1,3,5}:{(83,1),(87,1),(97,1),(129,1),(130,1)}
       108:{1,4,7}:{(84,1),(88,1),(123,1),(131,1),(134,1)}
       109:{2,4,6}:{(84,1),(85,1),(89,1),(124,1),(131,1),(132,1),(137,1)}
       110:{1,3,5}:{(85,1),(86,1),(98,1),(132,1),(133,1),(164,1)}
       111:{2,4}:{(87,1),(91,1),(130,1),(134,1)}
       112:{1,2,7}:{(88,1),(135,1),(138,1),(185,1)}
       113:{1,3,6}:{(88,1),(89,1),(131,1),(135,1),(136,1)}
       114:{2,3,5}:{(89,1),(90,1),(132,1),(136,1),(137,1),(164,1),(178,1),(179,1)}
       115:{1,4}:{(90,1),(137,1)}
       116:{1,3}:{(91,1),(134,1),(138,1)}
       117:{3,6,7}:{(92,1),(93,1),(139,1),(141,1),(177,1)}
       118:{3,5,6}:{(92,1),(94,1),(98,1),(139,1),(140,1)}
       119:{2,5,7}:{(93,1),(94,1),(99,1),(127,1),(139,1)}
       120:{2,4,7}:{(95,1),(96,1),(100,1),(128,1),(141,1),(161,1)}
       121:{3,6}:{(96,1),(97,1),(141,1)}
       122:{4,5}:{(98,1),(140,1)}
       123:{1,5,7}:{(101,1),(108,1),(142,1),(149,1),(150,1),(171,1)}
       124:{2,6}:{(101,1),(102,1),(142,1)}
       125:{1,3,6,7}:{(102,1),(103,1),(117,1),(143,1),(145,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(104,1),(110,1),(118,1),(144,1),(145,1),(146,1),(170,1)}
       127:{1,5,7}:{(103,1),(104,1),(119,1)}
       128:{1,4,7}:{(105,1),(106,1),(120,1),(147,1)}
       129:{1,3,6}:{(106,1),(107,1),(121,1),(147,1),(148,1)}
       130:{2,5}:{(107,1),(111,1),(148,1),(149,1)}
       131:{1,4,6}:{(108,1),(109,1),(113,1),(142,1),(150,1),(153,1)}
       132:{2,5}:{(109,1),(110,1),(150,1)}
       133:{1,4,5}:{(110,1),(115,1),(122,1),(146,1),(151,1),(183,1)}
       134:{1,4}:{(111,1),(116,1),(149,1)}
       135:{1,2,6}:{(112,1),(113,1),(152,1),(182,1)}
       136:{1,3,5}:{(113,1),(114,1),(150,1),(152,1),(153,1),(173,1)}
       137:{2,4}:{(114,1),(115,1),(153,1),(154,1)}
       138:{1,2}:{(116,1)}
       139:{3,5,7}:{(117,1),(118,1),(119,1),(155,1)}
       140:{4,6}:{(118,1),(122,1),(155,1)}
       141:{3,7}:{(120,1),(121,1)}
       142:{1,6}:{(123,1),(124,1)}
       143:{2,6,7}:{(124,1),(125,1),(156,1),(158,1),(161,1)}
       144:{2,5,6}:{(124,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(127,1),(139,1),(158,1),(160,1),(177,1)}
       146:{1,4,6}:{(126,1),(133,1),(140,1),(159,1),(160,1),(186,1)}
       147:{1,3,7}:{(128,1),(129,1),(141,1),(161,1)}
       148:{2,6}:{(129,1),(130,1),(161,1),(162,1)}
       149:{1,5}:{(130,1),(134,1),(162,1)}
       150:{1,5}:{(131,1),(132,1)}
       151:{2,4,5}:{(132,1),(133,1),(137,1),(159,1),(163,1),(164,1),(178,1)}
       152:{1,2,5}:{(135,1),(136,1),(165,1),(178,1)}
       153:{1,4}:{(136,1),(137,1)}
       154:{3,4}:{(137,1),(164,1)}
       155:{4,7}:{(139,1),(140,1)}
       156:{1,6,7}:{(142,1),(143,1),(167,1),(171,1)}
       157:{1,5,6}:{(142,1),(144,1),(150,1),(167,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(145,1),(167,1),(169,1)}
       159:{2,4,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1),(182,1)}
       160:{1,4,7}:{(145,1),(146,1),(155,1),(169,1),(188,1)}
       161:{2,7}:{(147,1),(148,1),(171,1)}
       162:{1,6}:{(148,1),(149,1),(171,1)}
       163:{1,4,5}:{(150,1),(151,1),(153,1),(168,1),(172,1)}
       164:{3,5}:{(151,1),(154,1),(170,1)}
       165:{1,2,4}:{(152,1),(153,1),(173,1),(174,1)}
       166:{1,3,4}:{(153,1),(154,1),(172,1),(173,1),(174,1)}
       167:{1,5,7}:{(156,1),(157,1),(158,1),(175,1)}
       168:{1,4,6}:{(157,1),(159,1),(163,1),(175,1),(176,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1),(175,1),(177,1),(185,1)}
       170:{3,6}:{(159,1),(164,1),(177,1)}
       171:{1,7}:{(161,1),(162,1)}
       172:{1,3,5}:{(163,1),(164,1),(166,1),(176,1),(178,1)}
       173:{1,3}:{(165,1),(179,1)}
       174:{2,4}:{(166,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(167,1),(168,1),(169,1),(181,1)}
       176:{1,3,6}:{(168,1),(170,1),(172,1),(181,1),(182,1)}
       177:{3,7}:{(169,1),(170,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(176,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 518 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 519 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 520 :   0:{1,4,5,6}:{(1,1),(2,1),(3,1),(50,1),(57,1),(138,1),(204,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(28,1),(32,1),(87,1),(160,1),(161,1),(169,1),(252,1),(263,1),(349,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(8,1),(9,1),(10,1),(178,1),(273,1)}
         3:{1,4,5,7}:{(0,1),(7,1),(10,1),(11,1),(79,1),(88,1),(168,1)}
         4:{1,3,4,5}:{(8,1),(12,1),(31,1),(45,1),(82,1),(105,1),(157,1),(178,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(14,1),(21,1),(57,1),(194,1),(204,1),(290,1)}
         6:{3,5,6}:{(1,1),(15,1),(17,1),(123,1),(209,1),(310,1)}
         7:{2,4,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(22,1),(51,1),(58,1),(124,1),(126,1),(127,1),(212,1),(312,1)}
         8:{1,3,4,6}:{(2,1),(4,1),(15,1),(19,1),(20,1),(57,1),(65,1),(123,1)}
         9:{2,5,6}:{(2,1),(19,1),(21,1),(22,1),(221,1),(321,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1),(23,1)}
        11:{1,4,6,7}:{(3,1),(18,1),(23,1),(24,1),(114,1),(226,1)}
        12:{2,4,5}:{(4,1),(19,1),(25,1),(26,1),(72,1),(142,1),(221,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(27,1),(28,1),(29,1),(239,1),(335,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(29,1),(30,1),(43,1),(88,1),(168,1)}
        15:{3,4,6}:{(6,1),(31,1),(32,1),(33,1),(349,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(28,1),(32,1),(34,1),(35,1),(39,1),(75,1),(81,1),(156,1),(160,1)}
        17:{3,5,7}:{(6,1),(7,1),(33,1),(36,1),(166,1)}
        18:{2,4,6,7}:{(7,1),(11,1),(30,1),(36,1),(37,1),(44,1),(80,1),(94,1),(263,1)}
        19:{2,4,6}:{(8,1),(9,1),(12,1),(39,1),(40,1),(41,1),(96,1)}
        20:{1,3,4,7}:{(8,1),(10,1),(33,1),(41,1),(88,1),(97,1),(166,1)}
        21:{1,5,6}:{(9,1),(40,1),(43,1),(268,1),(363,1)}
        22:{2,5,7}:{(9,1),(10,1),(41,1),(43,1),(44,1)}
        23:{1,3,6,7}:{(10,1),(11,1),(36,1),(44,1),(273,1)}
        24:{1,5,6,7}:{(11,1),(37,1),(168,1),(275,1)}
        25:{2,3,5}:{(12,1),(38,1),(39,1),(45,1),(157,1)}
        26:{1,4,5}:{(12,1),(40,1),(45,1),(183,1),(268,1)}
        27:{1,3,4,6}:{(13,1),(15,1),(47,1),(48,1),(49,1),(57,1),(108,1),(123,1)}
        28:{2,5,6}:{(13,1),(48,1),(50,1),(51,1),(285,1),(374,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(17,1),(49,1),(51,1),(52,1)}
        30:{1,4,6,7}:{(14,1),(18,1),(52,1),(53,1),(71,1),(290,1)}
        31:{3,4,5}:{(15,1),(54,1),(209,1),(377,1),(389,1)}
        32:{2,4,6}:{(15,1),(16,1),(54,1),(57,1),(58,1)}
        33:{3,4,7}:{(15,1),(17,1),(58,1),(312,1)}
        34:{1,3,5,6}:{(16,1),(21,1),(50,1),(57,1),(60,1),(61,1),(65,1),(108,1),(115,1),(123,1),(200,1),(204,1),(302,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(22,1),(51,1),(58,1),(61,1),(62,1),(66,1),(109,1),(126,1)}
        36:{3,6,7}:{(17,1),(18,1),(310,1)}
        37:{2,5,6,7}:{(18,1),(24,1),(53,1),(63,1),(126,1),(212,1),(314,1)}
        38:{2,3,4}:{(25,1),(64,1),(142,1),(201,1),(216,1)}
        39:{2,3,6}:{(19,1),(25,1),(65,1),(66,1),(123,1)}
        40:{1,4,6}:{(19,1),(21,1),(26,1),(65,1),(68,1)}
        41:{2,4,7}:{(19,1),(20,1),(22,1),(66,1),(68,1),(135,1)}
        42:{1,2,5,6}:{(21,1),(60,1),(67,1),(69,1),(70,1),(189,1),(197,1),(221,1),(295,1),(318,1),(321,1),(390,1)}
        43:{1,5,7}:{(21,1),(22,1),(68,1),(71,1)}
        44:{2,6,7}:{(22,1),(23,1),(71,1),(321,1)}
        45:{1,3,5}:{(25,1),(26,1),(64,1),(65,1),(72,1)}
        46:{1,2,4,5}:{(26,1),(67,1),(72,1),(73,1),(117,1),(131,1),(138,1),(142,1),(197,1),(221,1),(228,1),(293,1),(315,1),(378,1)}
        47:{1,3,4,5}:{(27,1),(31,1),(74,1),(82,1),(145,1),(157,1),(234,1),(239,1)}
        48:{2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(77,1),(147,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(33,1),(77,1),(88,1),(148,1),(166,1)}
        50:{1,5,6}:{(28,1),(76,1),(79,1),(330,1),(405,1)}
        51:{2,5,7}:{(28,1),(29,1),(77,1),(79,1),(80,1)}
        52:{1,3,6,7}:{(29,1),(30,1),(36,1),(80,1),(335,1)}
        53:{1,5,6,7}:{(30,1),(37,1),(168,1),(337,1)}
        54:{2,4,5}:{(31,1),(32,1),(81,1),(82,1),(338,1)}
        55:{3,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(90,1),(259,1),(358,1),(408,1),(443,1)}
        56:{2,3,4,6}:{(32,1),(38,1),(39,1),(75,1),(81,1),(85,1),(86,1),(144,1),(156,1),(165,1),(176,1),(237,1),(253,1),(338,1),(411,1)}
        57:{1,4,6}:{(32,1),(34,1),(82,1),(87,1),(88,1),(349,1)}
        58:{2,4,7}:{(32,1),(33,1),(35,1),(88,1)}
        59:{3,4,6,7}:{(33,1),(36,1),(84,1),(89,1),(90,1),(94,1)}
        60:{2,5,6}:{(34,1),(87,1),(92,1),(96,1),(147,1),(154,1),(248,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(43,1),(79,1),(88,1),(92,1),(93,1),(97,1),(148,1),(166,1),(168,1),(261,1)}
        62:{2,3,6,7}:{(35,1),(36,1),(44,1),(80,1),(89,1),(93,1),(156,1)}
        63:{3,5,6,7}:{(36,1),(37,1),(90,1),(94,1),(261,1),(357,1)}
        64:{1,3,4}:{(38,1),(45,1),(95,1),(172,1),(183,1)}
        65:{1,3,6}:{(39,1),(40,1),(45,1),(96,1),(97,1)}
        66:{2,3,7}:{(39,1),(41,1),(97,1),(166,1)}
        67:{1,2,4,6}:{(40,1),(42,1),(46,1),(87,1),(96,1),(98,1),(99,1),(100,1),(176,1),(276,1),(360,1),(409,1)}
        68:{1,4,7}:{(40,1),(41,1),(43,1),(97,1)}
        69:{1,3,5,6}:{(42,1),(91,1),(98,1),(100,1),(101,1),(178,1),(235,1),(244,1),(273,1),(275,1),(330,1),(342,1),(405,1),(414,1)}
        70:{1,2,5,7}:{(42,1),(43,1),(92,1),(99,1),(101,1),(102,1),(236,1),(271,1),(362,1),(419,1)}
        71:{1,6,7}:{(43,1),(44,1),(363,1)}
        72:{2,5}:{(45,1),(95,1),(96,1)}
        73:{1,3,5}:{(46,1),(98,1),(104,1),(105,1),(157,1),(172,1),(407,1)}
        74:{2,4,5}:{(47,1),(48,1),(106,1),(107,1),(187,1),(281,1),(285,1)}
        75:{2,3,6}:{(48,1),(106,1),(108,1),(109,1),(123,1)}
        76:{1,4,6}:{(48,1),(50,1),(107,1),(108,1),(111,1)}
        77:{2,4,7}:{(48,1),(49,1),(51,1),(109,1),(111,1),(191,1)}
        78:{1,2,5,6}:{(50,1),(60,1),(110,1),(112,1),(113,1),(133,1),(197,1),(285,1),(295,1),(371,1),(374,1),(390,1)}
        79:{1,5,7}:{(50,1),(51,1),(111,1),(114,1)}
        80:{2,6,7}:{(51,1),(52,1),(114,1),(374,1)}
        81:{2,3,5}:{(54,1),(56,1),(115,1),(209,1),(221,1),(285,1),(433,1)}
        82:{1,4,5}:{(54,1),(57,1),(115,1),(117,1),(293,1),(389,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(58,1),(116,1),(118,1),(119,1),(126,1),(379,1),(433,1)}
        84:{3,4,6}:{(55,1),(119,1),(120,1),(310,1),(396,1)}
        85:{1,3,4,6}:{(56,1),(57,1),(64,1),(65,1),(108,1),(115,1),(121,1),(122,1),(123,1),(186,1),(200,1),(201,1),(205,1),(219,1),(283,1),(293,1),(301,1),(383,1)}
        86:{2,3,4,7}:{(56,1),(58,1),(66,1),(109,1),(116,1),(122,1),(210,1),(222,1),(286,1),(304,1),(379,1)}
        87:{2,4,6}:{(57,1),(60,1),(117,1),(123,1),(124,1)}
        88:{1,4,7}:{(57,1),(58,1),(61,1),(124,1),(312,1)}
        89:{2,4,6,7}:{(58,1),(59,1),(62,1),(119,1),(125,1),(126,1)}
        90:{3,5,7}:{(59,1),(120,1),(126,1),(127,1)}
        91:{2,3,5,6}:{(60,1),(69,1),(112,1),(123,1),(128,1),(129,1),(134,1),(190,1),(198,1),(209,1),(221,1),(285,1),(292,1),(298,1),(302,1),(310,1),(314,1),(321,1),(374,1),(380,1),(386,1),(390,1),(428,1),(433,1),(449,1)}
        92:{2,5,7}:{(60,1),(61,1),(124,1),(130,1),(135,1),(191,1)}
        93:{1,3,6,7}:{(61,1),(62,1),(71,1),(114,1),(125,1),(130,1),(200,1),(211,1)}
        94:{4,6,7}:{(63,1),(127,1),(312,1),(396,1)}
        95:{2,4}:{(64,1),(72,1),(132,1)}
        96:{2,6}:{(65,1),(72,1),(135,1)}
        97:{1,3,7}:{(65,1),(66,1),(68,1),(135,1)}
        98:{1,3,6}:{(67,1),(73,1),(123,1),(134,1),(137,1),(428,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(70,1),(124,1),(135,1),(137,1),(139,1),(222,1),(324,1),(397,1),(431,1)}
       100:{1,4,6}:{(69,1),(128,1),(138,1),(139,1),(293,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(129,1),(137,1),(139,1),(140,1),(227,1),(284,1),(372,1)}
       102:{1,2,6,7}:{(70,1),(71,1),(130,1),(140,1),(295,1),(321,1),(398,1),(438,1)}
       103:{1,2,5}:{(72,1),(131,1),(133,1),(141,1),(315,1)}
       104:{2,3,5}:{(72,1),(73,1),(132,1),(134,1),(141,1),(142,1),(216,1),(221,1),(315,1)}
       105:{1,3,4}:{(73,1),(142,1),(201,1),(293,1),(377,1)}
       106:{2,3,5}:{(74,1),(75,1),(144,1),(145,1),(157,1)}
       107:{1,4,5}:{(74,1),(76,1),(145,1),(327,1),(330,1)}
       108:{1,3,6}:{(75,1),(76,1),(145,1),(147,1),(148,1)}
       109:{2,3,7}:{(75,1),(77,1),(148,1),(166,1)}
       110:{1,2,4,6}:{(76,1),(78,1),(87,1),(146,1),(147,1),(149,1),(150,1),(151,1),(237,1),(402,1),(409,1),(439,1)}
       111:{1,4,7}:{(76,1),(77,1),(79,1),(148,1)}
       112:{1,3,5,6}:{(78,1),(91,1),(149,1),(151,1),(152,1),(174,1),(239,1),(244,1),(268,1),(335,1),(337,1),(342,1),(363,1),(414,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(92,1),(150,1),(152,1),(153,1),(175,1),(333,1),(404,1),(419,1)}
       114:{1,6,7}:{(79,1),(80,1),(405,1)}
       115:{1,3,5}:{(81,1),(82,1),(85,1),(154,1),(157,1),(268,1),(330,1),(348,1),(414,1)}
       116:{2,3,5,7}:{(81,1),(83,1),(86,1),(155,1),(156,1),(259,1),(271,1),(333,1)}
       117:{2,4,5}:{(82,1),(87,1),(154,1),(157,1),(246,1)}
       118:{1,4,5,7}:{(82,1),(83,1),(88,1),(155,1),(158,1),(159,1),(168,1),(341,1),(414,1)}
       119:{2,4,6}:{(83,1),(84,1),(156,1),(159,1),(160,1)}
       120:{3,5,6}:{(84,1),(90,1),(160,1),(161,1),(443,1)}
       121:{2,4,6}:{(85,1),(95,1),(96,1),(147,1),(154,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       122:{1,3,4,7}:{(85,1),(86,1),(88,1),(97,1),(148,1),(155,1),(164,1),(166,1),(250,1),(255,1),(269,1),(331,1),(341,1)}
       123:{3,6}:{(87,1),(157,1),(166,1)}
       124:{2,4,7}:{(87,1),(88,1),(92,1),(166,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(93,1),(159,1),(167,1),(168,1)}
       126:{2,5,7}:{(89,1),(90,1),(160,1),(168,1)}
       127:{4,5,7}:{(90,1),(94,1),(161,1)}
       128:{2,4,6}:{(91,1),(100,1),(151,1),(165,1),(169,1),(170,1),(246,1),(338,1),(349,1),(453,1)}
       129:{2,3,5,7}:{(91,1),(92,1),(101,1),(152,1),(166,1),(170,1),(171,1),(177,1),(238,1),(259,1),(261,1),(264,1),(271,1),(333,1),(419,1),(441,1),(452,1)}
       130:{2,6,7}:{(92,1),(93,1),(248,1)}
       131:{1,2,4}:{(95,1),(103,1),(172,1),(183,1),(265,1)}
       132:{2,3}:{(95,1),(172,1)}
       133:{1,2,6}:{(96,1),(103,1),(174,1),(175,1),(360,1)}
       134:{2,3,6}:{(96,1),(98,1),(104,1),(174,1),(176,1),(177,1),(360,1)}
       135:{2,7}:{(96,1),(97,1)}
       136:{1,3,4,6}:{(98,1),(100,1),(105,1),(165,1),(176,1),(178,1),(179,1),(273,1)}
       137:{1,3,7}:{(98,1),(99,1),(166,1),(177,1),(441,1)}
       138:{1,4,5}:{(100,1),(169,1),(178,1),(330,1),(414,1)}
       139:{1,4,7}:{(100,1),(101,1),(170,1)}
       140:{1,3,6,7}:{(101,1),(102,1),(171,1),(182,1),(273,1),(342,1),(405,1)}
       141:{1,3,5}:{(103,1),(104,1),(172,1),(174,1),(183,1),(268,1)}
       142:{2,4}:{(104,1),(105,1),(183,1)}
       143:{1,3,4,5}:{(105,1),(178,1),(184,1),(185,1),(249,1),(266,1),(340,1),(407,1)}
       144:{2,3,4}:{(106,1),(186,1),(201,1),(281,1),(365,1)}
       145:{1,3,5}:{(106,1),(107,1),(108,1),(186,1),(187,1)}
       146:{1,2,4,5}:{(107,1),(110,1),(117,1),(187,1),(188,1),(194,1),(197,1),(278,1),(281,1),(285,1),(293,1),(368,1),(378,1),(423,1)}
       147:{2,6}:{(108,1),(187,1),(191,1)}
       148:{1,3,7}:{(108,1),(109,1),(111,1),(191,1)}
       149:{1,3,6}:{(110,1),(123,1),(188,1),(190,1),(193,1),(428,1)}
       150:{1,2,4,7}:{(110,1),(111,1),(113,1),(124,1),(191,1),(193,1),(195,1),(286,1),(426,1),(431,1),(447,1)}
       151:{1,4,6}:{(112,1),(128,1),(194,1),(195,1),(293,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(129,1),(193,1),(195,1),(196,1),(220,1),(291,1),(319,1)}
       153:{1,2,6,7}:{(113,1),(114,1),(130,1),(196,1),(295,1),(374,1),(427,1),(438,1)}
       154:{2,5}:{(115,1),(121,1)}
       155:{1,3,5,7}:{(115,1),(116,1),(118,1),(122,1),(199,1),(200,1),(202,1),(319,1),(372,1)}
       156:{2,3,6}:{(116,1),(119,1),(200,1),(310,1),(321,1),(374,1)}
       157:{3,5}:{(117,1),(123,1),(201,1)}
       158:{2,4,5,7}:{(117,1),(118,1),(124,1),(199,1),(202,1),(203,1),(212,1),(297,1),(312,1),(386,1),(389,1)}
       159:{1,4,6}:{(118,1),(119,1),(200,1),(203,1),(204,1)}
       160:{2,5,6}:{(119,1),(120,1),(126,1),(204,1),(433,1)}
       161:{4,5,6}:{(120,1),(127,1),(396,1),(450,1)}
       162:{1,2,4,6}:{(121,1),(131,1),(133,1),(189,1),(197,1),(205,1),(206,1),(219,1),(278,1),(283,1),(293,1),(295,1),(303,1),(383,1)}
       163:{2,3,6}:{(121,1),(123,1),(132,1),(198,1),(205,1),(208,1),(279,1)}
       164:{2,4,7}:{(121,1),(122,1),(135,1),(191,1),(199,1),(208,1)}
       165:{3,4,6}:{(123,1),(128,1),(201,1),(209,1),(210,1),(310,1),(377,1),(428,1)}
       166:{3,7}:{(123,1),(124,1)}
       167:{2,4,6,7}:{(124,1),(125,1),(130,1),(203,1),(211,1),(212,1),(312,1)}
       168:{1,5,7}:{(125,1),(126,1),(204,1),(212,1)}
       169:{2,4,5}:{(128,1),(138,1),(194,1),(209,1),(221,1),(285,1),(386,1),(389,1),(433,1),(450,1)}
       170:{2,4,7}:{(128,1),(129,1),(139,1),(195,1),(210,1),(312,1),(454,1)}
       171:{2,3,6,7}:{(129,1),(130,1),(140,1),(196,1),(211,1),(215,1),(298,1),(310,1),(321,1),(374,1),(380,1),(438,1),(448,1)}
       172:{1,3}:{(131,1),(132,1),(216,1)}
       173:{2,3,4}:{(132,1),(142,1),(217,1),(218,1),(377,1)}
       174:{1,3,6}:{(133,1),(134,1),(141,1),(219,1),(220,1)}
       175:{1,2,7}:{(133,1),(135,1),(220,1),(397,1)}
       176:{2,4,6}:{(134,1),(136,1),(142,1),(219,1),(221,1),(222,1),(321,1)}
       177:{2,3,7}:{(134,1),(135,1),(137,1),(220,1),(222,1),(397,1)}
       178:{1,3,5}:{(136,1),(138,1),(209,1),(221,1)}
       179:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(222,1),(224,1)}
       180:{1,4,5,6}:{(138,1),(213,1),(223,1),(225,1),(226,1),(371,1),(381,1),(435,1)}
       181:{1,4,5,7}:{(138,1),(139,1),(214,1),(224,1),(226,1),(227,1),(372,1)}
       182:{1,4,6,7}:{(139,1),(140,1),(215,1),(226,1),(227,1),(383,1)}
       183:{1,4}:{(141,1),(142,1)}
       184:{2,4,5}:{(142,1),(143,1),(218,1),(221,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(143,1),(223,1),(229,1),(230,1),(299,1),(316,1),(381,1),(428,1)}
       186:{1,3,4}:{(144,1),(145,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(145,1),(147,1),(231,1)}
       188:{1,3,5}:{(146,1),(149,1),(157,1),(233,1),(234,1),(325,1),(407,1)}
       189:{1,2,6}:{(147,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,3,6}:{(147,1),(149,1),(233,1),(235,1),(237,1),(238,1),(439,1)}
       191:{2,7}:{(147,1),(148,1)}
       192:{1,3,4,6}:{(149,1),(151,1),(165,1),(234,1),(237,1),(239,1),(240,1),(335,1)}
       193:{1,3,7}:{(149,1),(150,1),(166,1),(238,1),(441,1)}
       194:{1,4,5}:{(151,1),(169,1),(239,1),(268,1),(414,1)}
       195:{1,4,7}:{(151,1),(152,1),(170,1)}
       196:{1,3,6,7}:{(152,1),(153,1),(171,1),(243,1),(335,1),(342,1),(363,1)}
       197:{1,2,5}:{(154,1),(162,1),(244,1),(268,1),(330,1),(350,1),(414,1)}
       198:{2,3,5}:{(154,1),(157,1),(163,1),(244,1),(246,1)}
       199:{2,5,7}:{(154,1),(155,1),(164,1),(248,1)}
       200:{1,3,6}:{(155,1),(156,1),(159,1),(248,1),(251,1),(363,1),(405,1)}
       201:{3,4}:{(157,1),(246,1)}
       202:{3,5,7}:{(157,1),(158,1),(166,1),(250,1),(251,1),(348,1)}
       203:{2,4,6}:{(158,1),(159,1),(248,1),(251,1),(252,1),(349,1)}
       204:{1,5,6}:{(159,1),(160,1),(168,1),(252,1),(414,1)}
       205:{1,3,6}:{(162,1),(163,1),(172,1),(244,1),(253,1),(255,1),(325,1)}
       206:{1,2,4,7}:{(162,1),(164,1),(175,1),(236,1),(245,1),(255,1),(269,1),(331,1),(341,1),(351,1)}
       207:{2,3,4,6}:{(163,1),(165,1),(173,1),(176,1),(237,1),(246,1),(254,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(355,1),(401,1)}
       208:{2,3,7}:{(163,1),(164,1),(166,1),(255,1)}
       209:{3,5}:{(165,1),(169,1)}
       210:{3,4,7}:{(165,1),(166,1),(170,1),(259,1),(441,1)}
       211:{3,6,7}:{(166,1),(167,1),(251,1),(261,1)}
       212:{2,5,7}:{(167,1),(168,1),(252,1),(261,1)}
       213:{2,4,5,6}:{(169,1),(180,1),(241,1),(258,1),(262,1),(263,1),(270,1),(332,1),(343,1),(409,1),(416,1),(418,1),(445,1),(453,1)}
       214:{2,4,5,7}:{(169,1),(170,1),(181,1),(242,1),(259,1),(263,1),(264,1),(271,1),(333,1),(358,1)}
       215:{2,4,6,7}:{(170,1),(171,1),(182,1),(243,1),(260,1),(263,1),(264,1),(345,1),(411,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(407,1)}
       219:{1,4,6}:{(174,1),(176,1),(183,1),(268,1),(269,1),(363,1)}
       220:{1,3,7}:{(174,1),(175,1),(177,1),(269,1)}
       221:{2,5}:{(176,1),(178,1),(268,1)}
       222:{2,4,7}:{(176,1),(177,1),(179,1),(269,1),(271,1)}
       223:{1,3,5,6}:{(178,1),(180,1),(185,1),(258,1),(270,1),(272,1),(273,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(181,1),(259,1),(271,1),(273,1)}
       225:{1,4,5,7}:{(180,1),(262,1),(272,1),(274,1),(404,1),(412,1),(446,1)}
       226:{1,4,6}:{(181,1),(263,1),(273,1),(275,1),(405,1)}
       227:{1,5,7}:{(182,1),(264,1),(275,1),(414,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(268,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(270,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(272,1),(277,1),(346,1),(361,1),(412,1),(441,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(190,1),(279,1),(280,1),(281,1),(285,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(201,1),(281,1),(293,1),(377,1)}
       235:{1,3,6}:{(189,1),(190,1),(280,1),(283,1),(284,1)}
       236:{1,2,7}:{(189,1),(191,1),(284,1),(447,1)}
       237:{2,4,6}:{(190,1),(192,1),(281,1),(283,1),(285,1),(286,1),(374,1)}
       238:{2,3,7}:{(190,1),(191,1),(193,1),(284,1),(286,1),(447,1)}
       239:{1,3,5}:{(192,1),(194,1),(209,1),(285,1)}
       240:{1,3,4,7}:{(192,1),(193,1),(195,1),(210,1),(286,1),(288,1)}
       241:{1,4,5,6}:{(194,1),(213,1),(287,1),(289,1),(290,1),(318,1),(381,1),(435,1)}
       242:{1,4,5,7}:{(194,1),(195,1),(214,1),(288,1),(290,1),(291,1),(319,1)}
       243:{1,4,6,7}:{(195,1),(196,1),(215,1),(290,1),(291,1),(383,1)}
       244:{1,3,5}:{(197,1),(198,1),(205,1),(292,1),(293,1)}
       245:{1,2,5,7}:{(197,1),(199,1),(206,1),(294,1),(295,1),(319,1),(372,1),(391,1)}
       246:{2,4}:{(198,1),(201,1),(293,1)}
       247:{2,3,5,7}:{(198,1),(199,1),(202,1),(208,1),(294,1),(297,1),(298,1),(386,1)}
       248:{2,6}:{(199,1),(200,1)}
       249:{3,4,5}:{(201,1),(209,1),(296,1),(299,1),(450,1)}
       250:{3,4,7}:{(201,1),(202,1),(297,1),(301,1),(312,1)}
       251:{3,6}:{(202,1),(203,1)}
       252:{2,5,6}:{(203,1),(204,1),(212,1),(302,1),(386,1)}
       253:{2,3,6}:{(205,1),(216,1),(292,1),(303,1),(304,1),(365,1),(428,1)}
       254:{1,3,4,6}:{(205,1),(207,1),(217,1),(219,1),(283,1),(293,1),(303,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(393,1),(424,1),(428,1),(430,1)}
       255:{1,3,7}:{(205,1),(206,1),(208,1),(304,1)}
       256:{2,3,5}:{(207,1),(209,1),(221,1),(285,1),(296,1),(305,1),(386,1)}
       257:{2,3,4,7}:{(207,1),(208,1),(210,1),(222,1),(286,1),(297,1),(306,1),(308,1),(317,1),(384,1),(425,1)}
       258:{3,5,6}:{(209,1),(213,1),(299,1),(309,1),(310,1),(428,1)}
       259:{3,5,7}:{(209,1),(210,1),(214,1),(310,1)}
       260:{3,4,6,7}:{(210,1),(211,1),(215,1),(301,1),(310,1),(311,1),(312,1),(396,1),(430,1),(448,1),(454,1)}
       261:{3,5,7}:{(211,1),(212,1),(302,1),(312,1)}
       262:{2,4,5,7}:{(213,1),(225,1),(289,1),(309,1),(313,1),(320,1),(373,1),(384,1),(431,1),(436,1),(437,1),(451,1),(454,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(310,1),(314,1),(321,1),(374,1),(396,1)}
       264:{2,5,7}:{(215,1),(227,1),(291,1),(311,1),(314,1),(386,1),(433,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(428,1)}
       268:{1,5}:{(219,1),(221,1)}
       269:{1,4,7}:{(219,1),(220,1),(222,1),(319,1)}
       270:{2,5,6}:{(221,1),(223,1),(229,1),(318,1),(320,1),(321,1)}
       271:{2,5,7}:{(221,1),(222,1),(224,1),(319,1),(321,1)}
       272:{1,3,5,7}:{(223,1),(225,1),(230,1),(309,1),(320,1),(322,1)}
       273:{1,3,6}:{(224,1),(226,1),(310,1),(321,1)}
       274:{1,4,6,7}:{(225,1),(226,1),(313,1),(322,1),(323,1),(427,1)}
       275:{1,5,6}:{(226,1),(227,1),(314,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(318,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(320,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(235,1),(325,1),(327,1),(330,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(239,1),(249,1),(328,1),(329,1),(340,1),(400,1),(407,1)}
       283:{1,4,6}:{(235,1),(237,1),(327,1),(330,1),(331,1),(405,1)}
       284:{1,3,7}:{(235,1),(236,1),(238,1),(331,1)}
       285:{2,5}:{(237,1),(239,1),(330,1)}
       286:{2,4,7}:{(237,1),(238,1),(240,1),(331,1),(333,1)}
       287:{1,3,5,6}:{(239,1),(241,1),(258,1),(329,1),(332,1),(334,1),(335,1)}
       288:{1,3,5,7}:{(239,1),(240,1),(242,1),(259,1),(333,1),(335,1)}
       289:{1,4,5,7}:{(241,1),(262,1),(334,1),(336,1),(362,1),(412,1),(446,1)}
       290:{1,4,6}:{(242,1),(263,1),(335,1),(337,1),(363,1)}
       291:{1,5,7}:{(243,1),(264,1),(337,1),(414,1)}
       292:{2,3,5}:{(244,1),(253,1),(338,1),(350,1),(407,1)}
       293:{1,4}:{(244,1),(246,1),(338,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(255,1),(339,1),(341,1),(342,1),(414,1)}
       295:{1,2,6}:{(245,1),(248,1),(342,1),(363,1),(405,1),(420,1)}
       296:{2,4,5}:{(246,1),(249,1),(256,1),(340,1),(343,1)}
       297:{2,4,7}:{(246,1),(247,1),(250,1),(341,1),(345,1)}
       298:{2,3,6}:{(247,1),(248,1),(251,1),(342,1),(345,1)}
       299:{3,4,6}:{(249,1),(258,1),(343,1),(346,1),(453,1)}
       300:{3,4,5,7}:{(249,1),(250,1),(259,1),(344,1),(346,1),(347,1),(348,1),(358,1),(417,1)}
       301:{3,4,6}:{(250,1),(251,1),(345,1),(348,1),(349,1)}
       302:{3,5,6}:{(251,1),(252,1),(261,1),(348,1),(349,1)}
       303:{2,4,6}:{(253,1),(254,1),(265,1),(338,1),(350,1),(351,1),(360,1),(399,1),(420,1),(439,1)}
       304:{2,3,7}:{(253,1),(255,1),(351,1),(441,1)}
       305:{1,3,5}:{(254,1),(256,1),(268,1),(330,1),(340,1),(350,1),(407,1),(414,1),(443,1)}
       306:{1,3,4,7}:{(254,1),(255,1),(257,1),(269,1),(331,1),(341,1),(351,1),(353,1),(361,1),(408,1),(412,1),(440,1),(441,1)}
       307:{2,3,5,6}:{(256,1),(258,1),(267,1),(270,1),(332,1),(343,1),(352,1),(354,1),(355,1),(401,1),(416,1)}
       308:{2,3,5,7}:{(256,1),(257,1),(259,1),(271,1),(333,1),(344,1),(353,1),(355,1)}
       309:{3,5,7}:{(258,1),(262,1),(346,1),(356,1),(441,1)}
       310:{3,6}:{(259,1),(263,1)}
       311:{3,5,7}:{(260,1),(264,1),(348,1),(357,1),(358,1),(443,1)}
       312:{4,7}:{(261,1),(349,1)}
       313:{2,4,6,7}:{(262,1),(263,1),(274,1),(336,1),(356,1),(359,1),(364,1),(406,1),(422,1)}
       314:{2,5,6}:{(263,1),(264,1),(275,1),(337,1),(357,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(441,1)}
       318:{1,5,6}:{(268,1),(270,1),(276,1),(362,1),(363,1)}
       319:{1,5,7}:{(268,1),(269,1),(271,1),(363,1)}
       320:{2,5,7}:{(270,1),(272,1),(277,1),(362,1),(364,1)}
       321:{2,6}:{(271,1),(273,1),(363,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(274,1),(356,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(362,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(285,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(287,1),(299,1),(369,1),(370,1),(381,1),(424,1),(428,1)}
       330:{1,5}:{(283,1),(285,1)}
       331:{1,4,7}:{(283,1),(284,1),(286,1),(372,1)}
       332:{2,5,6}:{(285,1),(287,1),(369,1),(371,1),(373,1),(374,1)}
       333:{2,5,7}:{(285,1),(286,1),(288,1),(372,1),(374,1)}
       334:{1,3,5,7}:{(287,1),(289,1),(309,1),(370,1),(373,1),(375,1)}
       335:{1,3,6}:{(288,1),(290,1),(310,1),(374,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(313,1),(375,1),(376,1),(398,1)}
       337:{1,5,6}:{(290,1),(291,1),(314,1)}
       338:{2,4}:{(292,1),(293,1),(377,1)}
       339:{2,3,5,7}:{(292,1),(294,1),(304,1),(379,1),(380,1),(391,1),(429,1),(433,1)}
       340:{1,4,5}:{(293,1),(296,1),(305,1),(378,1),(381,1),(450,1)}
       341:{1,4,7}:{(293,1),(294,1),(297,1),(379,1),(383,1)}
       342:{1,3,6}:{(294,1),(295,1),(298,1),(380,1),(383,1)}
       343:{2,4,6}:{(296,1),(299,1),(307,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(296,1),(297,1),(300,1),(308,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(297,1),(298,1),(301,1),(383,1),(386,1)}
       346:{3,4,7}:{(299,1),(309,1),(384,1),(454,1)}
       347:{3,4,6}:{(300,1),(310,1),(385,1),(388,1),(396,1)}
       348:{3,5}:{(301,1),(386,1),(389,1)}
       349:{4,6}:{(302,1),(312,1),(389,1)}
       350:{2,5}:{(303,1),(305,1)}
       351:{2,4,7}:{(303,1),(304,1),(306,1),(391,1),(397,1),(447,1)}
       352:{1,3,5,6}:{(305,1),(307,1),(316,1),(318,1),(371,1),(381,1),(390,1),(392,1),(393,1),(424,1),(428,1),(435,1),(449,1)}
       353:{1,3,5,7}:{(305,1),(306,1),(308,1),(319,1),(372,1),(382,1),(391,1),(393,1),(429,1)}
       354:{2,3,5,7}:{(307,1),(309,1),(317,1),(320,1),(373,1),(384,1),(392,1),(394,1),(425,1),(436,1)}
       355:{2,3,6}:{(308,1),(310,1),(321,1),(374,1),(385,1),(393,1)}
       356:{3,6,7}:{(309,1),(310,1),(313,1)}
       357:{3,5,6}:{(310,1),(311,1),(314,1),(396,1)}
       358:{4,5,7}:{(311,1),(312,1),(389,1),(396,1),(450,1),(454,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(395,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,5,7}:{(318,1),(320,1),(324,1),(398,1)}
       363:{1,6}:{(319,1),(321,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(407,1)}
       368:{1,4,5}:{(327,1),(328,1),(330,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(332,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(334,1),(346,1),(403,1),(412,1),(440,1),(441,1)}
       371:{1,5,6}:{(330,1),(332,1),(402,1),(404,1),(405,1)}
       372:{1,5,7}:{(330,1),(331,1),(333,1),(405,1)}
       373:{2,5,7}:{(332,1),(334,1),(403,1),(404,1),(406,1)}
       374:{2,6}:{(333,1),(335,1),(405,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(336,1),(356,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(338,1),(407,1)}
       378:{2,4,5}:{(338,1),(340,1),(350,1),(407,1),(409,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(408,1),(411,1)}
       380:{2,3,6}:{(339,1),(342,1),(411,1),(420,1),(442,1)}
       381:{1,4,6}:{(340,1),(343,1),(352,1),(409,1),(412,1),(453,1)}
       382:{1,4,5,7}:{(340,1),(341,1),(344,1),(353,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(341,1),(342,1),(345,1),(411,1),(414,1)}
       384:{2,4,7}:{(343,1),(346,1),(354,1),(412,1)}
       385:{2,4,6}:{(344,1),(347,1),(355,1),(413,1),(416,1)}
       386:{2,5}:{(345,1),(348,1),(414,1)}
       387:{3,4,6,7}:{(346,1),(347,1),(356,1),(415,1),(417,1),(422,1)}
       388:{3,5,6}:{(347,1),(348,1),(416,1),(417,1),(418,1)}
       389:{4,5}:{(348,1),(349,1)}
       390:{2,5,6}:{(350,1),(352,1),(360,1),(409,1),(419,1),(420,1),(439,1)}
       391:{2,5,7}:{(350,1),(351,1),(353,1),(420,1)}
       392:{1,3,5,7}:{(352,1),(354,1),(361,1),(362,1),(404,1),(412,1),(419,1),(421,1),(440,1),(441,1),(446,1),(452,1)}
       393:{1,3,6}:{(353,1),(355,1),(363,1),(405,1),(413,1),(420,1),(442,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(356,1),(364,1),(406,1),(415,1),(421,1)}
       395:{3,5,6,7}:{(356,1),(357,1),(359,1),(417,1),(422,1),(452,1)}
       396:{4,6}:{(357,1),(358,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(428,1)}
       402:{1,4,6}:{(368,1),(369,1),(371,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(373,1),(425,1),(426,1),(447,1)}
       404:{1,5,7}:{(371,1),(373,1),(426,1),(427,1)}
       405:{1,6}:{(372,1),(374,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,5}:{(377,1),(378,1),(428,1)}
       408:{3,4,7}:{(377,1),(379,1),(429,1),(430,1),(454,1)}
       409:{2,4,6}:{(378,1),(381,1),(390,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(378,1),(379,1),(382,1),(391,1),(429,1),(431,1),(432,1),(433,1),(450,1),(451,1),(454,1)}
       411:{2,4,6}:{(379,1),(380,1),(383,1),(430,1),(433,1)}
       412:{1,4,7}:{(381,1),(384,1),(392,1),(431,1),(454,1)}
       413:{1,4,6}:{(382,1),(385,1),(393,1),(432,1),(435,1)}
       414:{1,5}:{(383,1),(386,1),(433,1)}
       415:{2,4,6,7}:{(384,1),(385,1),(387,1),(394,1),(434,1),(436,1)}
       416:{2,5,6}:{(385,1),(386,1),(388,1),(435,1),(436,1)}
       417:{3,5,7}:{(387,1),(388,1),(436,1),(437,1)}
       418:{4,5,6}:{(388,1),(389,1),(396,1),(437,1)}
       419:{2,5,7}:{(390,1),(392,1),(397,1),(431,1),(438,1),(447,1)}
       420:{2,6}:{(391,1),(393,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(434,1),(438,1),(448,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(441,1)}
       426:{1,4,7}:{(402,1),(403,1),(404,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,6}:{(407,1),(409,1),(441,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,4,6}:{(408,1),(411,1),(442,1),(443,1),(453,1)}
       431:{2,4,7}:{(409,1),(412,1),(419,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(420,1),(442,1),(445,1),(453,1)}
       433:{2,5}:{(411,1),(414,1),(443,1)}
       434:{1,4,6,7}:{(412,1),(413,1),(415,1),(421,1),(444,1),(446,1)}
       435:{1,5,6}:{(413,1),(414,1),(416,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(417,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,7}:{(428,1),(431,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,5}:{(430,1),(433,1),(450,1)}
       444:{2,4,6,7}:{(431,1),(432,1),(434,1),(438,1),(448,1),(451,1),(454,1)}
       445:{2,5,6}:{(432,1),(433,1),(435,1),(449,1),(451,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{3,6,7}:{(441,1),(442,1),(444,1),(452,1)}
       449:{3,5,6}:{(442,1),(443,1),(445,1),(452,1),(453,1)}
       450:{4,5}:{(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(452,1)}
       452:{3,5,7}:{(448,1),(449,1),(451,1),(454,1)}
       453:{4,6}:{(449,1),(450,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 521 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1),(38,1),(57,1),(85,1)}
         6:{1,2,6}:{(1,1),(13,1),(14,1),(36,1)}
         7:{1,3,4}:{(2,1),(11,1),(12,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(5,1),(17,1),(20,1),(21,1),(22,1),(42,1),(48,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,4}:{(5,1),(20,1)}
        13:{1,3,6}:{(5,1),(6,1),(21,1),(24,1),(25,1),(95,1)}
        14:{1,2,7}:{(6,1),(25,1),(53,1)}
        15:{1,3,5}:{(7,1),(22,1),(23,1),(26,1),(48,1)}
        16:{1,2,4}:{(8,1),(27,1),(28,1),(58,1)}
        17:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(29,1),(31,1),(61,1)}
        18:{1,2,6}:{(8,1),(29,1),(30,1),(86,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,4}:{(10,1),(12,1),(28,1),(32,1)}
        21:{2,3,6}:{(10,1),(13,1),(29,1),(34,1),(35,1),(36,1),(64,1),(86,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,5}:{(12,1),(15,1),(33,1),(37,1),(38,1),(85,1)}
        24:{1,4,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(71,1)}
        25:{1,3,7}:{(13,1),(14,1),(35,1),(39,1),(101,1)}
        26:{1,3,6}:{(15,1),(36,1),(37,1),(40,1),(64,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,4}:{(17,1),(20,1)}
        29:{1,3,6}:{(17,1),(18,1),(21,1),(45,1),(46,1),(47,1)}
        30:{1,2,7}:{(18,1),(46,1),(96,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(20,1),(48,1)}
        33:{2,4,5}:{(20,1),(22,1),(23,1),(44,1),(48,1),(50,1),(51,1),(73,1),(80,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(51,1),(52,1),(83,1)}
        35:{2,3,7}:{(21,1),(25,1),(46,1),(52,1),(53,1),(79,1),(96,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,6}:{(23,1),(26,1),(50,1),(54,1),(55,1),(95,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,7}:{(24,1),(25,1),(52,1),(56,1)}
        40:{1,3,7}:{(26,1),(53,1),(55,1),(79,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(59,1)}
        44:{1,4,5}:{(28,1),(31,1),(33,1),(59,1),(60,1),(61,1)}
        45:{1,4,6}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        46:{1,3,7}:{(29,1),(30,1),(35,1),(62,1),(63,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,5}:{(32,1),(33,1),(64,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        50:{2,4,6}:{(33,1),(36,1),(37,1),(60,1),(64,1),(67,1),(68,1),(86,1),(90,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,7}:{(34,1),(35,1),(39,1),(62,1),(66,1),(69,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(38,1),(67,1),(70,1),(71,1)}
        55:{1,4,7}:{(37,1),(40,1),(68,1),(70,1),(101,1)}
        56:{1,5,7}:{(38,1),(39,1),(69,1),(71,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(44,1),(48,1),(73,1),(74,1)}
        60:{1,4,6}:{(44,1),(47,1),(50,1),(74,1),(75,1),(76,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,7}:{(45,1),(46,1),(52,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,6}:{(48,1),(50,1),(79,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{3,4,7}:{(49,1),(52,1),(79,1),(81,1),(98,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(75,1),(78,1),(82,1),(83,1)}
        68:{2,4,7}:{(50,1),(53,1),(55,1),(76,1),(79,1),(82,1),(96,1),(98,1)}
        69:{2,5,7}:{(51,1),(52,1),(56,1),(77,1),(81,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(82,1),(84,1)}
        71:{1,6}:{(56,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(60,1),(64,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(61,1),(67,1),(88,1),(89,1)}
        76:{1,4,7}:{(60,1),(63,1),(68,1),(87,1),(88,1)}
        77:{1,5,7}:{(61,1),(62,1),(69,1),(89,1)}
        78:{3,5,6}:{(64,1),(65,1),(67,1),(90,1),(91,1),(93,1),(103,1)}
        79:{3,7}:{(64,1),(68,1)}
        80:{4,5}:{(65,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(69,1),(92,1),(93,1)}
        82:{2,5,7}:{(67,1),(68,1),(70,1),(88,1),(91,1),(94,1)}
        83:{2,6}:{(69,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(76,1),(79,1),(96,1)}
        88:{1,5,7}:{(75,1),(76,1),(82,1),(97,1)}
        89:{1,6}:{(77,1),(83,1)}
        90:{4,6}:{(78,1),(80,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(104,1)}
        92:{4,5,7}:{(80,1),(81,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(83,1),(100,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(99,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(93,1),(94,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 522 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 523 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 524 :  0:{2,3,4}:{(1,1),(2,1),(11,1),(35,1)}
        1:{1,3,4}:{(0,1),(4,1),(5,1),(8,1),(20,1),(30,1),(47,1),(50,1)}
        2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,2,4}:{(4,1),(8,1),(9,1),(30,1)}
        4:{2,4}:{(1,1),(11,1),(12,1)}
        5:{1,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(37,1)}
        6:{2,4,5}:{(2,1),(13,1),(15,1),(16,1),(35,1),(65,1)}
        7:{2,3,6}:{(2,1),(14,1),(16,1),(17,1)}
        8:{1,3}:{(3,1),(11,1)}
        9:{1,2,5}:{(3,1),(12,1),(18,1),(19,1)}
       10:{1,2,4}:{(4,1),(20,1),(21,1),(47,1)}
       11:{2,3}:{(4,1),(8,1),(20,1)}
       12:{2,5}:{(4,1),(5,1),(24,1)}
       13:{1,4,5}:{(5,1),(6,1),(23,1),(25,1),(30,1),(47,1),(60,1),(74,1)}
       14:{1,3,6}:{(5,1),(7,1),(24,1),(25,1),(26,1),(53,1)}
       15:{3,4,5}:{(6,1),(27,1),(50,1),(76,1)}
       16:{2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(29,1)}
       17:{2,3,7}:{(7,1),(26,1),(29,1)}
       18:{1,3,5}:{(8,1),(9,1),(22,1),(30,1),(31,1),(60,1)}
       19:{1,2,6}:{(9,1),(24,1),(31,1),(32,1)}
       20:{1,3}:{(10,1),(11,1)}
       21:{1,2,5}:{(10,1),(12,1),(33,1),(34,1)}
       22:{2,3,5}:{(11,1),(12,1),(18,1),(33,1),(35,1),(36,1),(37,1),(65,1)}
       23:{2,4,5}:{(12,1),(13,1),(35,1),(37,1),(38,1),(65,1),(85,1)}
       24:{2,6}:{(12,1),(14,1),(39,1)}
       25:{1,4,6}:{(13,1),(14,1),(16,1),(38,1),(40,1),(41,1)}
       26:{1,3,7}:{(14,1),(17,1),(39,1),(41,1),(68,1)}
       27:{3,4,6}:{(15,1),(16,1),(42,1),(43,1)}
       28:{2,5,6}:{(16,1),(40,1),(42,1),(44,1),(65,1),(87,1)}
       29:{2,4,7}:{(16,1),(17,1),(41,1),(43,1),(44,1)}
       30:{1,4}:{(18,1),(35,1)}
       31:{1,3,6}:{(18,1),(19,1),(36,1),(45,1),(46,1)}
       32:{1,2,7}:{(19,1),(39,1),(46,1)}
       33:{1,3,5}:{(20,1),(21,1),(22,1),(47,1),(48,1),(74,1)}
       34:{1,2,6}:{(21,1),(24,1),(48,1),(49,1)}
       35:{2,4}:{(22,1),(30,1),(47,1),(50,1)}
       36:{2,3,6}:{(22,1),(24,1),(31,1),(48,1),(51,1),(52,1),(53,1)}
       37:{3,5}:{(23,1),(50,1),(53,1)}
       38:{2,4,6}:{(23,1),(24,1),(25,1),(53,1),(54,1),(55,1),(79,1)}
       39:{2,7}:{(24,1),(26,1)}
       40:{1,5,6}:{(25,1),(28,1),(54,1),(56,1),(60,1),(74,1),(83,1),(91,1)}
       41:{1,4,7}:{(25,1),(26,1),(29,1),(55,1),(56,1)}
       42:{3,5,6}:{(27,1),(28,1),(57,1),(58,1),(76,1),(93,1)}
       43:{3,4,7}:{(27,1),(29,1),(58,1)}
       44:{2,5,7}:{(28,1),(29,1),(56,1),(58,1),(59,1)}
       45:{1,4,6}:{(30,1),(31,1),(51,1),(60,1),(61,1),(83,1)}
       46:{1,3,7}:{(31,1),(32,1),(52,1),(61,1)}
       47:{1,4}:{(33,1),(35,1)}
       48:{1,3,6}:{(33,1),(34,1),(36,1),(62,1),(63,1)}
       49:{1,2,7}:{(34,1),(39,1),(63,1)}
       50:{3,4}:{(35,1),(37,1)}
       51:{2,4,6}:{(35,1),(36,1),(45,1),(62,1),(64,1),(65,1),(66,1),(87,1)}
       52:{2,3,7}:{(36,1),(39,1),(46,1),(63,1),(66,1),(68,1)}
       53:{3,6}:{(37,1),(38,1),(68,1)}
       54:{2,5,6}:{(38,1),(40,1),(65,1),(67,1),(69,1),(87,1)}
       55:{2,4,7}:{(38,1),(39,1),(41,1),(68,1),(69,1),(88,1)}
       56:{1,5,7}:{(40,1),(41,1),(44,1),(69,1),(70,1)}
       57:{4,5,6}:{(42,1),(71,1),(85,1),(95,1)}
       58:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1)}
       59:{2,6,7}:{(44,1),(70,1),(72,1),(87,1)}
       60:{1,5}:{(45,1),(65,1)}
       61:{1,4,7}:{(45,1),(46,1),(66,1),(73,1)}
       62:{1,4,6}:{(47,1),(48,1),(51,1),(74,1),(75,1),(91,1)}
       63:{1,3,7}:{(48,1),(49,1),(52,1),(75,1)}
       64:{3,4,6}:{(50,1),(51,1),(53,1),(76,1),(77,1),(79,1),(93,1)}
       65:{2,5}:{(51,1),(60,1),(74,1),(76,1)}
       66:{2,4,7}:{(51,1),(52,1),(61,1),(75,1),(77,1),(78,1)}
       67:{3,5,6}:{(53,1),(54,1),(76,1),(79,1),(80,1),(93,1),(97,1)}
       68:{3,7}:{(53,1),(55,1)}
       69:{2,5,7}:{(54,1),(55,1),(56,1),(80,1),(81,1)}
       70:{1,6,7}:{(56,1),(59,1),(81,1),(83,1),(91,1)}
       71:{4,5,7}:{(57,1),(58,1),(82,1)}
       72:{3,6,7}:{(58,1),(59,1),(82,1),(93,1)}
       73:{1,5,7}:{(60,1),(61,1),(78,1),(83,1)}
       74:{1,5}:{(62,1),(65,1)}
       75:{1,4,7}:{(62,1),(63,1),(66,1),(84,1)}
       76:{3,5}:{(64,1),(65,1),(85,1)}
       77:{3,4,7}:{(64,1),(66,1),(68,1),(86,1),(88,1)}
       78:{2,5,7}:{(65,1),(66,1),(73,1),(84,1),(86,1),(87,1)}
       79:{4,6}:{(67,1),(85,1),(88,1)}
       80:{3,5,7}:{(67,1),(68,1),(69,1),(88,1),(89,1),(96,1)}
       81:{2,6,7}:{(69,1),(70,1),(87,1),(89,1)}
       82:{4,6,7}:{(71,1),(72,1),(90,1),(95,1)}
       83:{1,6}:{(73,1),(87,1)}
       84:{1,5,7}:{(74,1),(75,1),(78,1),(91,1)}
       85:{4,5}:{(76,1),(79,1)}
       86:{3,5,7}:{(76,1),(77,1),(78,1),(92,1),(93,1)}
       87:{2,6}:{(78,1),(83,1),(91,1),(93,1)}
       88:{4,7}:{(79,1),(80,1)}
       89:{3,6,7}:{(80,1),(81,1),(93,1),(94,1)}
       90:{5,6,7}:{(82,1),(97,1)}
       91:{1,6}:{(84,1),(87,1)}
       92:{4,5,7}:{(85,1),(86,1),(88,1),(95,1),(96,1)}
       93:{3,6}:{(86,1),(87,1),(95,1)}
       94:{4,6,7}:{(88,1),(89,1),(95,1),(96,1)}
       95:{4,6}:{(92,1),(93,1),(97,1)}
       96:{5,7}:{(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 525 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 526 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 527 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(43,1),(68,1),(80,1),(84,1),(87,1),(121,1),(128,1),(226,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(22,1),(49,1),(55,1),(58,1),(98,1),(107,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(65,1),(114,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(8,1),(9,1),(34,1),(36,1),(128,1),(138,1),(144,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(37,1),(127,1),(145,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(13,1),(44,1),(84,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(115,1),(159,1),(160,1),(161,1),(169,1),(205,1),(211,1),(229,1),(241,1)}
         8:{2,3,6,7}:{(3,1),(15,1),(18,1),(58,1),(100,1),(166,1),(229,1)}
         9:{2,5,7}:{(3,1),(4,1),(19,1),(158,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(19,1),(22,1),(58,1),(112,1),(116,1)}
        11:{1,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(49,1),(97,1)}
        12:{2,3,5,6,7}:{(5,1),(21,1),(24,1),(65,1),(109,1),(114,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(65,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(8,1),(27,1),(29,1),(73,1),(130,1),(187,1),(226,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(9,1),(29,1),(30,1),(66,1),(145,1),(185,1),(192,1),(222,1),(237,1)}
        17:{2,3,4,6,7}:{(8,1),(28,1),(32,1),(34,1),(76,1),(79,1),(122,1),(128,1),(133,1),(175,1),(182,1),(244,1)}
        18:{2,3,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(37,1),(237,1),(244,1)}
        19:{2,5,6}:{(9,1),(10,1),(36,1),(144,1)}
        20:{2,4,5,7}:{(9,1),(11,1),(34,1),(36,1),(37,1),(78,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(35,1),(38,1),(82,1),(86,1),(141,1),(145,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(36,1)}
        23:{1,3,4,5,7}:{(11,1),(14,1),(37,1),(40,1),(41,1),(72,1),(85,1),(86,1),(127,1),(135,1),(139,1),(188,1),(191,1),(224,1),(226,1)}
        24:{2,4,6,7}:{(12,1),(13,1),(38,1),(42,1),(43,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(42,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(169,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(17,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(19,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(20,1),(49,1),(50,1),(51,1),(64,1),(91,1),(97,1),(99,1),(113,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        32:{2,3,5,7}:{(17,1),(47,1),(52,1),(53,1),(105,1),(158,1),(162,1),(204,1)}
        33:{2,3,5,6}:{(18,1),(19,1),(48,1),(54,1),(58,1),(100,1),(105,1),(158,1),(231,1),(233,1),(242,1)}
        34:{2,4,7}:{(18,1),(49,1),(54,1),(55,1)}
        35:{2,5,6,7}:{(19,1),(21,1),(56,1),(114,1),(169,1)}
        36:{2,4,6}:{(19,1),(20,1),(22,1),(58,1)}
        37:{3,5,7}:{(20,1),(55,1),(58,1),(105,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(60,1)}
        39:{1,4,5,6}:{(22,1),(25,1),(57,1),(60,1),(62,1),(97,1),(116,1),(170,1)}
        40:{1,3,4,6}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(110,1),(112,1),(170,1),(212,1)}
        41:{2,4,5,7}:{(23,1),(59,1),(63,1),(64,1),(99,1),(113,1),(114,1),(158,1),(163,1),(167,1),(209,1),(211,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(60,1),(65,1),(114,1),(211,1)}
        43:{3,4,6,7}:{(24,1),(26,1),(65,1)}
        44:{3,5,6}:{(25,1),(26,1),(65,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(192,1),(226,1)}
        47:{1,3,5,7}:{(28,1),(32,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(34,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(36,1),(71,1),(73,1),(89,1),(118,1),(128,1),(144,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(37,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(226,1),(239,1),(244,1)}
        52:{2,3,5,6}:{(32,1),(69,1),(76,1),(134,1),(175,1),(183,1)}
        53:{2,4,5,7}:{(32,1),(34,1),(70,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(34,1),(71,1),(78,1),(79,1),(240,1)}
        55:{3,4,7}:{(34,1),(37,1),(79,1),(244,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(38,1),(81,1),(82,1)}
        57:{2,4,5,6}:{(36,1),(39,1),(78,1),(81,1),(83,1),(88,1),(142,1)}
        58:{3,6}:{(36,1),(37,1)}
        59:{2,3,5,7}:{(37,1),(41,1),(80,1),(84,1),(85,1),(136,1),(224,1),(226,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(42,1),(81,1),(86,1),(145,1),(191,1)}
        61:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(82,1),(86,1),(87,1),(139,1),(141,1),(191,1),(226,1)}
        62:{1,3,5,6}:{(39,1),(40,1),(44,1),(83,1),(86,1),(88,1),(127,1)}
        63:{2,4,6}:{(40,1),(41,1),(84,1),(88,1),(89,1),(144,1)}
        64:{1,4,5,7}:{(41,1),(85,1),(89,1),(129,1),(145,1),(185,1),(188,1),(191,1)}
        65:{3,5,7}:{(42,1),(43,1),(44,1),(226,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(210,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(52,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(53,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(54,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(55,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(58,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(113,1),(158,1),(166,1),(199,1),(203,1),(210,1),(233,1)}
        75:{2,3,5,6,7}:{(52,1),(94,1),(102,1),(162,1),(195,1),(204,1)}
        76:{2,4,6}:{(52,1),(53,1),(95,1),(104,1)}
        77:{3,4,5,7}:{(53,1),(55,1),(104,1),(105,1),(162,1)}
        78:{2,4,5}:{(54,1),(97,1),(105,1),(158,1)}
        79:{3,4,6}:{(54,1),(55,1),(58,1),(105,1),(242,1),(243,1)}
        80:{2,3,4,7}:{(55,1),(59,1),(99,1),(106,1),(107,1),(167,1),(203,1),(235,1)}
        81:{2,4,5,7}:{(56,1),(57,1),(60,1),(108,1),(114,1),(167,1)}
        82:{3,6,7}:{(56,1),(58,1),(108,1)}
        83:{3,5,6}:{(57,1),(58,1),(105,1),(108,1),(110,1)}
        84:{2,3,6}:{(58,1),(59,1),(63,1),(112,1),(212,1)}
        85:{1,3,5,7}:{(59,1),(64,1),(107,1),(112,1),(113,1),(164,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(108,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(63,1),(109,1),(114,1),(115,1),(167,1),(169,1),(211,1)}
        88:{2,5,6}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        89:{1,4,6}:{(63,1),(64,1),(112,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(225,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(226,1)}
        94:{1,3,5,6,7}:{(69,1),(75,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(76,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(77,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(78,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(79,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(225,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(144,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{2,4,6,7}:{(75,1),(76,1),(123,1),(132,1),(133,1)}
       103:{2,4,5,6}:{(76,1),(78,1),(124,1),(132,1),(134,1),(183,1),(238,1)}
       104:{3,4,6}:{(76,1),(77,1),(134,1)}
       105:{3,5}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(84,1),(128,1),(136,1),(137,1),(142,1),(221,1),(240,1)}
       107:{1,3,4,7}:{(80,1),(85,1),(129,1),(137,1),(138,1),(187,1),(191,1),(226,1)}
       108:{3,5,7}:{(81,1),(82,1),(83,1),(139,1)}
       109:{2,3,6,7}:{(82,1),(84,1),(87,1),(140,1),(141,1),(226,1)}
       110:{3,4,6}:{(83,1),(135,1),(139,1),(142,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(88,1),(136,1),(140,1),(142,1),(143,1)}
       112:{1,3,6}:{(84,1),(85,1),(89,1),(144,1)}
       113:{2,5,7}:{(85,1),(138,1),(144,1),(189,1)}
       114:{2,5,7}:{(86,1),(87,1),(88,1),(145,1)}
       115:{1,4,6,7}:{(87,1),(89,1),(141,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(145,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(166,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(102,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(103,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(104,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(105,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(113,1),(160,1),(161,1),(199,1),(207,1)}
       132:{2,4,5,7}:{(102,1),(103,1),(153,1),(162,1),(204,1),(241,1)}
       133:{3,4,6,7}:{(102,1),(104,1),(162,1)}
       134:{3,5,6}:{(103,1),(104,1),(105,1),(162,1),(242,1)}
       135:{3,4,5}:{(105,1),(110,1),(163,1),(243,1)}
       136:{2,3,5}:{(105,1),(106,1),(158,1),(163,1),(164,1)}
       137:{1,3,4,6}:{(106,1),(107,1),(112,1),(159,1),(164,1),(165,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       138:{2,4,7}:{(107,1),(113,1),(165,1),(166,1)}
       139:{3,4,7}:{(108,1),(110,1),(167,1)}
       140:{2,3,5,7}:{(108,1),(109,1),(111,1),(114,1),(167,1),(168,1)}
       141:{1,3,6,7}:{(109,1),(112,1),(115,1),(168,1),(169,1)}
       142:{2,4,6}:{(110,1),(111,1),(163,1),(167,1),(170,1)}
       143:{1,3,5,6}:{(111,1),(112,1),(116,1),(164,1),(168,1),(170,1),(171,1),(212,1)}
       144:{2,6}:{(112,1),(113,1)}
       145:{1,5,7}:{(114,1),(115,1),(116,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(190,1),(216,1),(225,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(132,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(133,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(134,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(138,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(144,1),(218,1)}
       162:{3,5,7}:{(132,1),(133,1),(134,1),(244,1)}
       163:{2,4,5}:{(135,1),(136,1),(142,1),(188,1),(240,1)}
       164:{1,3,5}:{(136,1),(137,1),(185,1),(188,1),(189,1),(224,1)}
       165:{2,4,6}:{(137,1),(138,1),(144,1),(189,1),(190,1),(225,1)}
       166:{2,3,7}:{(138,1),(187,1),(190,1),(226,1)}
       167:{2,4,7}:{(139,1),(140,1),(142,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(143,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,6,7}:{(141,1),(144,1),(192,1)}
       170:{1,4,6}:{(142,1),(143,1),(188,1),(191,1),(193,1)}
       171:{2,5,6}:{(143,1),(144,1),(189,1),(192,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(162,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(165,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(166,1),(203,1),(208,1)}
       188:{1,4,5}:{(163,1),(164,1),(170,1),(209,1),(234,1)}
       189:{2,5}:{(164,1),(165,1)}
       190:{2,3,6}:{(165,1),(166,1),(208,1),(210,1),(212,1)}
       191:{1,4,7}:{(167,1),(168,1),(170,1),(211,1)}
       192:{2,5,7}:{(168,1),(169,1),(171,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(211,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(225,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(189,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(190,1),(221,1),(223,1)}
       209:{2,4,5}:{(188,1),(189,1),(193,1),(224,1),(225,1)}
       210:{2,3,5}:{(189,1),(190,1),(223,1),(224,1),(225,1)}
       211:{2,4,7}:{(191,1),(192,1),(193,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,5}:{(209,1),(212,1),(235,1)}
       225:{2,4}:{(210,1),(234,1),(235,1)}
       226:{3,7}:{(211,1),(212,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(225,1),(240,1)}
       235:{3,4}:{(224,1),(225,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 528 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(31,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(42,1),(83,1),(84,1),(85,1),(175,1),(276,1),(289,1),(294,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(60,1),(118,1),(154,1),(239,1),(328,1),(357,1)}
         3:{3,5,6}:{(0,1),(13,1),(15,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(15,1),(16,1),(52,1),(61,1),(146,1),(147,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(13,1),(17,1),(228,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(348,1),(352,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(58,1),(60,1),(73,1),(125,1),(129,1),(138,1),(143,1),(151,1),(247,1),(259,1),(350,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(61,1),(128,1),(130,1),(230,1),(334,1),(353,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(97,1),(198,1),(204,1),(271,1),(272,1),(313,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(296,1),(408,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(89,1),(98,1),(167,1),(197,1),(279,1)}
        12:{1,3,4,5}:{(5,1),(25,1),(29,1),(37,1),(76,1),(91,1),(105,1),(161,1),(188,1),(268,1),(296,1)}
        13:{3,4,6}:{(3,1),(5,1),(31,1),(32,1),(471,1)}
        14:{2,3,5,6}:{(3,1),(6,1),(26,1),(31,1),(33,1),(34,1),(42,1),(85,1),(108,1)}
        15:{3,5,7}:{(3,1),(4,1),(32,1),(35,1),(277,1)}
        16:{2,4,6,7}:{(4,1),(28,1),(35,1),(36,1),(90,1),(104,1),(393,1)}
        17:{2,4,5}:{(5,1),(6,1),(31,1),(37,1),(175,1)}
        18:{3,4,5,7}:{(5,1),(32,1),(38,1),(39,1),(100,1),(286,1),(389,1),(400,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(306,1),(317,1),(403,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(406,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(179,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(96,1),(98,1),(180,1),(190,1),(195,1),(202,1),(404,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(143,1),(250,1),(365,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(144,1),(221,1),(222,1),(253,1),(367,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(13,1),(45,1),(49,1),(50,1),(60,1),(118,1),(129,1),(143,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(352,1),(453,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(15,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(16,1),(48,1),(53,1),(54,1),(135,1),(357,1)}
        29:{2,4,5}:{(12,1),(49,1),(55,1),(56,1),(136,1),(243,1),(352,1)}
        30:{1,2,4,6}:{(21,1),(57,1),(58,1),(59,1),(127,1),(138,1),(140,1),(226,1),(234,1),(247,1),(350,1)}
        31:{2,4,6}:{(13,1),(14,1),(17,1),(60,1),(61,1)}
        32:{3,4,7}:{(13,1),(15,1),(61,1),(440,1)}
        33:{1,3,5,6}:{(14,1),(19,1),(51,1),(60,1),(63,1),(64,1),(73,1),(129,1),(143,1),(154,1),(260,1)}
        34:{2,3,5,7}:{(14,1),(15,1),(52,1),(61,1),(64,1),(65,1),(130,1),(146,1)}
        35:{3,6,7}:{(15,1),(16,1),(438,1)}
        36:{2,5,6,7}:{(16,1),(54,1),(66,1),(146,1),(336,1),(442,1)}
        37:{1,4,5}:{(17,1),(19,1),(60,1),(67,1),(138,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(61,1),(68,1),(69,1),(146,1),(230,1),(348,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(451,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(453,1)}
        43:{2,3,6}:{(21,1),(58,1),(71,1),(75,1),(143,1),(227,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(236,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(85,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(195,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(90,1),(173,1),(313,1)}
        49:{2,4,6}:{(25,1),(26,1),(29,1),(85,1),(86,1),(87,1),(179,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(32,1),(78,1),(87,1),(98,1),(167,1),(180,1),(195,1),(277,1)}
        51:{1,5,6}:{(26,1),(86,1),(89,1),(403,1),(487,1)}
        52:{2,5,7}:{(26,1),(27,1),(87,1),(89,1),(90,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(35,1),(81,1),(90,1),(408,1)}
        54:{1,5,6,7}:{(28,1),(36,1),(82,1),(197,1),(279,1),(410,1)}
        55:{2,3,5}:{(29,1),(83,1),(85,1),(91,1),(105,1),(268,1)}
        56:{1,4,5}:{(29,1),(86,1),(91,1),(301,1),(403,1)}
        57:{1,2,5}:{(30,1),(40,1),(93,1),(177,1),(306,1),(403,1)}
        58:{1,3,6}:{(30,1),(43,1),(84,1),(93,1),(96,1),(283,1)}
        59:{1,2,4,7}:{(30,1),(44,1),(94,1),(96,1),(178,1),(190,1),(293,1),(404,1)}
        60:{1,4,6}:{(31,1),(33,1),(37,1),(97,1),(98,1),(318,1)}
        61:{2,4,7}:{(31,1),(32,1),(34,1),(98,1)}
        62:{3,4,6,7}:{(32,1),(35,1),(39,1),(99,1),(100,1),(104,1)}
        63:{2,5,6}:{(33,1),(40,1),(97,1),(102,1),(112,1),(179,1)}
        64:{1,3,5,7}:{(33,1),(34,1),(89,1),(98,1),(102,1),(103,1),(180,1),(195,1),(197,1),(311,1)}
        65:{2,3,6,7}:{(34,1),(35,1),(42,1),(90,1),(99,1),(103,1)}
        66:{3,5,6,7}:{(35,1),(36,1),(100,1),(104,1),(391,1),(479,1)}
        67:{2,4,5}:{(37,1),(40,1),(97,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(98,1),(106,1),(107,1),(190,1),(197,1),(306,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(100,1),(108,1),(109,1),(400,1)}
        71:{2,3,5}:{(40,1),(43,1),(93,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(487,1)}
        74:{2,3,4,6}:{(43,1),(95,1),(110,1),(113,1),(114,1),(194,1),(205,1),(207,1),(209,1),(284,1),(294,1),(397,1)}
        75:{2,3,7}:{(43,1),(44,1),(96,1),(195,1)}
        76:{3,4,5}:{(45,1),(115,1),(250,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(367,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(129,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(130,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(365,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(253,1),(369,1)}
        83:{2,3,4}:{(55,1),(125,1),(151,1),(243,1),(325,1),(340,1)}
        84:{2,3,6}:{(58,1),(126,1),(127,1),(128,1),(340,1),(343,1)}
        85:{2,3,6}:{(49,1),(55,1),(129,1),(130,1),(143,1),(218,1)}
        86:{1,4,6}:{(49,1),(51,1),(56,1),(129,1),(132,1)}
        87:{2,4,7}:{(49,1),(50,1),(52,1),(130,1),(132,1),(236,1)}
        88:{1,2,5,6}:{(51,1),(57,1),(63,1),(121,1),(131,1),(133,1),(134,1),(140,1),(232,1),(234,1),(321,1),(352,1),(423,1),(450,1),(453,1),(503,1)}
        89:{1,5,7}:{(51,1),(52,1),(132,1),(135,1)}
        90:{2,6,7}:{(52,1),(53,1),(135,1),(453,1)}
        91:{1,3,5}:{(55,1),(56,1),(125,1),(129,1),(136,1)}
        92:{1,2,4,5}:{(56,1),(57,1),(67,1),(131,1),(136,1),(137,1),(138,1),(212,1),(226,1),(229,1),(239,1),(243,1),(321,1),(352,1),(359,1),(421,1),(443,1),(491,1)}
        93:{1,3,5}:{(57,1),(58,1),(71,1),(126,1),(138,1)}
        94:{1,2,5,7}:{(57,1),(59,1),(72,1),(139,1),(140,1),(233,1),(451,1)}
        95:{1,3,4,6}:{(58,1),(74,1),(127,1),(138,1),(141,1),(142,1),(228,1),(245,1),(247,1),(249,1),(341,1),(343,1),(345,1),(350,1),(444,1)}
        96:{1,3,7}:{(58,1),(59,1),(75,1),(128,1)}
        97:{2,4,6}:{(60,1),(63,1),(67,1),(143,1),(144,1)}
        98:{1,4,7}:{(60,1),(61,1),(64,1),(144,1),(367,1)}
        99:{2,4,6,7}:{(61,1),(62,1),(65,1),(69,1),(145,1),(146,1)}
       100:{3,5,7}:{(62,1),(70,1),(146,1),(147,1)}
       101:{2,3,5,6}:{(63,1),(71,1),(133,1),(143,1),(148,1),(149,1),(157,1),(235,1),(250,1),(260,1),(263,1),(352,1),(365,1),(369,1),(420,1),(453,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
       102:{2,5,7}:{(63,1),(64,1),(144,1),(150,1),(236,1)}
       103:{1,3,6,7}:{(64,1),(65,1),(73,1),(135,1),(145,1),(150,1),(252,1)}
       104:{4,6,7}:{(66,1),(147,1),(440,1),(509,1)}
       105:{3,5}:{(67,1),(143,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(144,1),(152,1),(153,1),(156,1),(253,1),(263,1),(367,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(146,1),(154,1),(348,1)}
       109:{4,5,6}:{(70,1),(147,1),(448,1),(509,1)}
       110:{2,4}:{(71,1),(138,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(139,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(141,1),(155,1),(250,1),(263,1),(352,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(142,1),(156,1),(159,1),(251,1),(261,1),(353,1),(445,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(309,1),(416,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(85,1),(160,1),(164,1),(165,1),(194,1),(267,1),(294,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(179,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(89,1),(167,1),(171,1),(172,1),(180,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(90,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(311,1),(415,1)}
       125:{1,3,4}:{(83,1),(91,1),(174,1),(283,1),(301,1)}
       126:{2,3,5}:{(84,1),(93,1),(175,1),(177,1),(285,1)}
       127:{2,4,6}:{(84,1),(95,1),(175,1),(177,1),(178,1),(291,1),(395,1),(482,1)}
       128:{2,3,7}:{(84,1),(96,1),(178,1),(398,1)}
       129:{1,3,6}:{(85,1),(86,1),(91,1),(179,1),(180,1)}
       130:{2,3,7}:{(85,1),(87,1),(180,1),(195,1),(277,1)}
       131:{1,2,4,6}:{(86,1),(88,1),(92,1),(97,1),(166,1),(179,1),(181,1),(182,1),(183,1),(287,1),(294,1),(411,1),(482,1),(515,1)}
       132:{1,4,7}:{(86,1),(87,1),(89,1),(180,1)}
       133:{1,3,5,6}:{(88,1),(93,1),(101,1),(170,1),(181,1),(183,1),(184,1),(191,1),(292,1),(296,1),(306,1),(374,1),(403,1),(408,1),(410,1),(464,1),(487,1),(520,1)}
       134:{1,2,5,7}:{(88,1),(89,1),(102,1),(171,1),(182,1),(184,1),(185,1),(290,1),(293,1),(406,1),(486,1),(525,1)}
       135:{1,6,7}:{(89,1),(90,1),(487,1)}
       136:{2,5}:{(91,1),(174,1),(179,1)}
       137:{1,3,5}:{(92,1),(105,1),(181,1),(187,1),(188,1),(268,1),(283,1),(285,1),(513,1)}
       138:{1,4}:{(93,1),(110,1),(175,1)}
       139:{1,3,5,7}:{(93,1),(94,1),(96,1),(111,1),(176,1),(190,1),(191,1),(306,1)}
       140:{1,2,6}:{(94,1),(112,1),(191,1),(291,1),(487,1)}
       141:{1,3,5}:{(95,1),(113,1),(177,1),(189,1),(285,1),(306,1),(400,1),(403,1)}
       142:{1,3,4,7}:{(95,1),(96,1),(114,1),(178,1),(190,1),(193,1),(286,1),(304,1),(398,1),(404,1),(483,1)}
       143:{3,6}:{(97,1),(105,1),(195,1)}
       144:{2,4,7}:{(97,1),(98,1),(102,1),(195,1)}
       145:{1,4,6,7}:{(98,1),(99,1),(103,1),(107,1),(196,1),(197,1)}
       146:{2,5,7}:{(99,1),(100,1),(108,1),(197,1)}
       147:{4,5,7}:{(100,1),(104,1),(109,1)}
       148:{2,4,6}:{(101,1),(110,1),(183,1),(194,1),(198,1),(199,1),(318,1),(460,1),(551,1)}
       149:{2,3,5,7}:{(101,1),(102,1),(184,1),(195,1),(199,1),(200,1),(295,1),(309,1),(311,1),(314,1),(406,1),(525,1),(540,1),(550,1)}
       150:{2,6,7}:{(102,1),(103,1),(112,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(195,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(197,1),(204,1),(306,1)}
       155:{2,4,5}:{(110,1),(113,1),(189,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(190,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(191,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(192,1),(205,1),(208,1),(209,1),(308,1),(320,1),(397,1),(405,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(193,1),(206,1),(209,1),(309,1),(406,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(250,1),(352,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(365,1),(458,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(129,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(350,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(130,1),(211,1),(217,1),(251,1),(353,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(126,1),(133,1),(218,1),(223,1),(224,1),(231,1),(232,1),(235,1),(322,1),(333,1),(343,1),(348,1),(352,1),(426,1),(430,1),(438,1),(442,1),(447,1),(453,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(236,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(135,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(367,1),(458,1)}
       174:{2,4}:{(125,1),(136,1),(227,1)}
       175:{2,4}:{(126,1),(138,1),(228,1)}
       176:{2,3,5,7}:{(126,1),(128,1),(139,1),(230,1),(231,1),(233,1),(344,1),(348,1)}
       177:{2,5}:{(127,1),(141,1)}
       178:{2,4,7}:{(127,1),(128,1),(142,1),(233,1),(510,1)}
       179:{2,6}:{(129,1),(136,1),(236,1)}
       180:{1,3,7}:{(129,1),(130,1),(132,1),(236,1)}
       181:{1,3,6}:{(131,1),(137,1),(143,1),(218,1),(235,1),(238,1),(343,1),(529,1)}
       182:{1,2,4,7}:{(131,1),(132,1),(134,1),(144,1),(219,1),(236,1),(238,1),(240,1),(346,1),(353,1),(456,1),(510,1),(532,1)}
       183:{1,4,6}:{(133,1),(138,1),(148,1),(223,1),(239,1),(240,1),(421,1)}
       184:{1,3,5,7}:{(133,1),(134,1),(149,1),(224,1),(238,1),(240,1),(241,1),(351,1),(358,1),(451,1)}
       185:{1,2,6,7}:{(134,1),(135,1),(140,1),(150,1),(225,1),(241,1),(349,1),(423,1),(453,1),(512,1),(539,1)}
       186:{1,2,5}:{(136,1),(226,1),(234,1),(242,1),(443,1)}
       187:{2,3,5}:{(136,1),(137,1),(227,1),(235,1),(242,1),(243,1),(340,1),(352,1),(443,1)}
       188:{1,3,4}:{(137,1),(138,1),(151,1),(228,1),(243,1),(325,1),(421,1),(490,1)}
       189:{1,4,5}:{(138,1),(141,1),(155,1),(229,1),(245,1),(448,1)}
       190:{1,4,7}:{(138,1),(139,1),(156,1),(230,1),(247,1)}
       191:{1,3,6}:{(139,1),(140,1),(157,1),(231,1),(247,1)}
       192:{1,3,5,6}:{(141,1),(158,1),(232,1),(245,1),(248,1),(249,1),(343,1),(363,1),(444,1),(447,1),(450,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(159,1),(233,1),(246,1),(249,1),(344,1),(451,1)}
       194:{3,4,6}:{(143,1),(148,1),(151,1),(250,1),(251,1),(365,1),(490,1),(529,1)}
       195:{3,7}:{(143,1),(144,1)}
       196:{2,4,6,7}:{(144,1),(145,1),(150,1),(153,1),(252,1),(253,1),(367,1)}
       197:{1,5,7}:{(145,1),(146,1),(154,1),(253,1)}
       198:{2,4,5}:{(148,1),(239,1),(250,1),(263,1),(352,1),(372,1),(534,1),(548,1)}
       199:{2,4,7}:{(148,1),(149,1),(240,1),(251,1),(367,1),(552,1)}
       200:{2,3,6,7}:{(149,1),(150,1),(157,1),(241,1),(252,1),(256,1),(365,1),(453,1),(493,1),(539,1),(546,1)}
       201:{3,4,5}:{(151,1),(155,1),(250,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(367,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(253,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(245,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(246,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(247,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(248,1),(261,1),(264,1),(364,1),(373,1),(445,1),(452,1)}
       209:{2,3,6}:{(159,1),(249,1),(262,1),(365,1),(453,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(403,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(309,1),(406,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(179,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(180,1),(266,1),(275,1),(277,1),(380,1),(385,1),(404,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(175,1),(183,1),(276,1),(280,1),(281,1),(376,1),(471,1),(485,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(184,1),(277,1),(281,1),(282,1),(290,1),(295,1),(389,1),(391,1),(394,1),(398,1),(406,1),(484,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,4}:{(174,1),(186,1),(283,1),(301,1),(395,1)}
       227:{2,3}:{(174,1),(283,1)}
       228:{3,4}:{(175,1),(285,1)}
       229:{2,4,5}:{(175,1),(177,1),(189,1),(285,1),(287,1)}
       230:{2,4,7}:{(175,1),(176,1),(190,1),(286,1),(289,1)}
       231:{2,3,6}:{(176,1),(191,1),(289,1),(291,1),(399,1)}
       232:{2,5,6}:{(177,1),(192,1),(287,1),(290,1),(291,1),(482,1)}
       233:{2,5,7}:{(177,1),(178,1),(193,1),(291,1)}
       234:{1,2,6}:{(179,1),(186,1),(292,1),(293,1),(482,1)}
       235:{2,3,6}:{(179,1),(181,1),(187,1),(292,1),(294,1),(295,1),(482,1)}
       236:{2,7}:{(179,1),(180,1)}
       237:{1,3,4,6}:{(181,1),(183,1),(188,1),(194,1),(276,1),(294,1),(296,1),(297,1),(408,1)}
       238:{1,3,7}:{(181,1),(182,1),(195,1),(277,1),(295,1),(398,1),(540,1)}
       239:{1,4,5}:{(183,1),(198,1),(280,1),(296,1),(306,1),(403,1),(520,1)}
       240:{1,4,7}:{(183,1),(184,1),(199,1),(281,1)}
       241:{1,3,6,7}:{(184,1),(185,1),(191,1),(200,1),(282,1),(300,1),(408,1),(464,1),(487,1)}
       242:{1,3,5}:{(186,1),(187,1),(283,1),(292,1),(301,1),(403,1)}
       243:{2,4}:{(187,1),(188,1),(301,1)}
       244:{1,3,4,5}:{(188,1),(189,1),(201,1),(285,1),(296,1),(302,1),(303,1),(379,1),(396,1),(462,1),(513,1)}
       245:{1,4,6}:{(189,1),(192,1),(205,1),(287,1),(304,1),(485,1)}
       246:{1,4,5,7}:{(189,1),(190,1),(193,1),(206,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       247:{1,4,6}:{(190,1),(191,1),(207,1),(289,1),(306,1)}
       248:{1,3,5,7}:{(192,1),(208,1),(290,1),(304,1),(307,1),(398,1),(413,1),(483,1),(484,1),(486,1)}
       249:{1,3,6}:{(193,1),(209,1),(291,1),(305,1),(399,1),(487,1)}
       250:{3,5}:{(194,1),(198,1)}
       251:{3,4,7}:{(194,1),(195,1),(199,1),(309,1),(540,1)}
       252:{3,6,7}:{(195,1),(196,1),(203,1),(311,1)}
       253:{2,5,7}:{(196,1),(197,1),(204,1),(311,1)}
       254:{2,4,5,6}:{(198,1),(205,1),(298,1),(308,1),(312,1),(313,1),(320,1),(405,1),(419,1),(515,1),(544,1),(551,1)}
       255:{2,4,5,7}:{(198,1),(199,1),(299,1),(309,1),(313,1),(314,1),(406,1),(416,1)}
       256:{2,4,6,7}:{(199,1),(200,1),(207,1),(300,1),(310,1),(313,1),(314,1),(517,1)}
       257:{3,4,6}:{(201,1),(205,1),(308,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(309,1),(315,1),(316,1),(317,1),(416,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(311,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(304,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(305,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(306,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(307,1),(319,1),(414,1),(488,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(451,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(365,1),(453,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(458,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(234,1),(321,1),(329,1),(330,1),(350,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(227,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(236,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(228,1),(325,1),(333,1),(334,1),(343,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(239,1),(333,1),(348,1),(352,1),(448,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(240,1),(334,1),(440,1),(511,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(231,1),(241,1),(335,1),(339,1),(349,1),(426,1),(438,1),(446,1),(453,1)}
       283:{1,3}:{(226,1),(227,1),(340,1)}
       284:{2,3,4}:{(227,1),(228,1),(243,1),(341,1),(342,1),(490,1)}
       285:{3,5}:{(228,1),(229,1),(343,1)}
       286:{3,4,7}:{(228,1),(230,1),(344,1),(345,1),(511,1)}
       287:{2,4,6}:{(229,1),(232,1),(245,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(229,1),(230,1),(233,1),(246,1),(344,1),(346,1),(347,1),(348,1),(448,1),(449,1),(511,1)}
       289:{2,4,6}:{(230,1),(231,1),(247,1),(345,1),(348,1)}
       290:{2,5,7}:{(232,1),(248,1),(346,1),(349,1),(510,1)}
       291:{2,6}:{(233,1),(249,1)}
       292:{1,3,6}:{(234,1),(235,1),(242,1),(350,1),(351,1)}
       293:{1,2,7}:{(234,1),(236,1),(351,1),(510,1)}
       294:{2,4,6}:{(235,1),(237,1),(243,1),(350,1),(352,1),(353,1),(453,1)}
       295:{2,3,7}:{(235,1),(236,1),(238,1),(351,1),(353,1),(510,1)}
       296:{1,3,5}:{(237,1),(239,1),(250,1),(333,1),(352,1)}
       297:{1,3,4,7}:{(237,1),(238,1),(240,1),(251,1),(334,1),(353,1),(355,1)}
       298:{1,4,5,6}:{(239,1),(245,1),(254,1),(337,1),(354,1),(356,1),(357,1),(363,1),(450,1),(494,1),(536,1)}
       299:{1,4,5,7}:{(239,1),(240,1),(255,1),(338,1),(355,1),(357,1),(358,1),(451,1)}
       300:{1,4,6,7}:{(240,1),(241,1),(247,1),(256,1),(339,1),(357,1),(358,1),(496,1)}
       301:{1,4}:{(242,1),(243,1)}
       302:{2,4,5}:{(243,1),(244,1),(342,1),(352,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(244,1),(245,1),(257,1),(343,1),(354,1),(360,1),(361,1),(427,1),(444,1),(494,1),(529,1)}
       304:{1,4,7}:{(245,1),(248,1),(261,1),(346,1),(511,1)}
       305:{1,4,6}:{(246,1),(249,1),(262,1),(347,1),(363,1)}
       306:{1,5}:{(247,1),(263,1),(348,1)}
       307:{1,3,6,7}:{(248,1),(249,1),(264,1),(349,1),(362,1),(446,1),(512,1)}
       308:{3,5,6}:{(250,1),(254,1),(257,1),(364,1),(365,1),(529,1)}
       309:{3,5,7}:{(250,1),(251,1),(255,1),(365,1)}
       310:{3,4,6,7}:{(251,1),(252,1),(256,1),(259,1),(365,1),(366,1),(367,1),(458,1),(531,1),(546,1),(552,1)}
       311:{3,5,7}:{(252,1),(253,1),(260,1),(367,1)}
       312:{2,4,5,7}:{(254,1),(261,1),(356,1),(364,1),(368,1),(373,1),(452,1),(459,1),(532,1),(549,1),(552,1)}
       313:{2,4,6}:{(255,1),(357,1),(365,1),(369,1),(453,1),(458,1)}
       314:{2,5,7}:{(256,1),(263,1),(358,1),(366,1),(369,1),(534,1)}
       315:{3,4,7}:{(257,1),(261,1),(364,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(365,1),(371,1),(458,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(367,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(362,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(363,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(403,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(487,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(283,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(293,1),(375,1),(385,1),(404,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(284,1),(294,1),(376,1),(384,1),(386,1),(387,1),(397,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(398,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(287,1),(298,1),(388,1),(392,1),(393,1),(402,1),(405,1),(465,1),(485,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(299,1),(389,1),(393,1),(394,1),(406,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(289,1),(300,1),(390,1),(393,1),(394,1),(467,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(285,1),(302,1),(396,1),(397,1),(513,1)}
       343:{3,6}:{(285,1),(287,1),(398,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,4,6}:{(286,1),(289,1),(399,1),(400,1),(485,1)}
       346:{2,4,7}:{(287,1),(290,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(291,1),(305,1),(399,1),(402,1),(485,1)}
       348:{2,5}:{(289,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,4,6}:{(292,1),(294,1),(301,1),(403,1),(404,1),(487,1)}
       351:{1,3,7}:{(292,1),(293,1),(295,1),(404,1)}
       352:{2,5}:{(294,1),(296,1),(403,1)}
       353:{2,4,7}:{(294,1),(295,1),(297,1),(404,1),(406,1)}
       354:{1,3,5,6}:{(296,1),(298,1),(303,1),(308,1),(388,1),(405,1),(407,1),(408,1)}
       355:{1,3,5,7}:{(296,1),(297,1),(299,1),(309,1),(389,1),(406,1),(408,1)}
       356:{1,4,5,7}:{(298,1),(304,1),(312,1),(392,1),(407,1),(409,1),(413,1),(486,1),(518,1),(545,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(408,1),(410,1),(487,1)}
       358:{1,5,7}:{(300,1),(306,1),(314,1),(394,1),(410,1),(520,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(403,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(405,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(304,1),(315,1),(398,1),(407,1),(412,1),(468,1),(483,1),(518,1),(540,1)}
       362:{1,4,6,7}:{(304,1),(305,1),(307,1),(319,1),(401,1),(413,1)}
       363:{1,5,6}:{(305,1),(306,1),(320,1),(402,1),(413,1)}
       364:{3,5,7}:{(308,1),(312,1),(315,1),(414,1),(540,1)}
       365:{3,6}:{(309,1),(313,1)}
       366:{3,5,7}:{(310,1),(314,1),(317,1),(415,1),(416,1),(542,1)}
       367:{4,7}:{(311,1),(318,1)}
       368:{2,4,6,7}:{(312,1),(313,1),(409,1),(414,1),(417,1),(488,1),(489,1)}
       369:{2,5,6}:{(313,1),(314,1),(410,1),(415,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(414,1),(418,1),(489,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(451,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(448,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(340,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(341,1),(350,1),(421,1),(431,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(352,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(353,1),(425,1),(434,1),(436,1),(445,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(343,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(345,1),(429,1),(438,1),(439,1),(440,1),(446,1),(509,1),(511,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(356,1),(437,1),(441,1),(449,1),(452,1),(497,1),(511,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(357,1),(438,1),(442,1),(453,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(358,1),(439,1),(442,1),(499,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(343,1),(360,1),(444,1),(445,1),(529,1)}
       398:{3,7}:{(343,1),(346,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,5}:{(345,1),(348,1),(448,1)}
       401:{2,4,6,7}:{(346,1),(347,1),(349,1),(362,1),(446,1),(449,1),(511,1)}
       402:{2,5,6}:{(347,1),(348,1),(363,1),(447,1),(449,1)}
       403:{1,5}:{(350,1),(352,1)}
       404:{1,4,7}:{(350,1),(351,1),(353,1),(451,1)}
       405:{2,5,6}:{(352,1),(354,1),(360,1),(450,1),(452,1),(453,1)}
       406:{2,5,7}:{(352,1),(353,1),(355,1),(451,1),(453,1)}
       407:{1,3,5,7}:{(354,1),(356,1),(361,1),(364,1),(437,1),(452,1),(454,1)}
       408:{1,3,6}:{(355,1),(357,1),(365,1),(438,1),(453,1)}
       409:{1,4,6,7}:{(356,1),(357,1),(368,1),(441,1),(454,1),(455,1),(512,1)}
       410:{1,5,6}:{(357,1),(358,1),(369,1),(442,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(450,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(452,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{3,6,7}:{(364,1),(365,1),(368,1)}
       415:{3,5,6}:{(365,1),(366,1),(369,1),(458,1)}
       416:{4,5,7}:{(366,1),(367,1),(372,1),(458,1),(548,1),(552,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(457,1),(549,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(458,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(487,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(485,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(395,1),(460,1),(472,1),(473,1),(482,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(403,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(404,1),(463,1),(473,1),(475,1),(483,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(405,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(406,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(398,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(400,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(409,1),(478,1),(481,1),(488,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(410,1),(479,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(398,1),(412,1),(483,1),(540,1)}
       446:{3,6,7}:{(398,1),(399,1),(401,1),(484,1)}
       447:{3,5,6}:{(399,1),(400,1),(402,1),(484,1),(485,1)}
       448:{4,5}:{(400,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(484,1)}
       450:{1,5,6}:{(403,1),(405,1),(411,1),(486,1),(487,1)}
       451:{1,5,7}:{(403,1),(404,1),(406,1),(487,1)}
       452:{2,5,7}:{(405,1),(407,1),(412,1),(486,1),(488,1)}
       453:{2,6}:{(406,1),(408,1),(487,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(409,1),(414,1),(478,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(486,1)}
       457:{3,5,6,7}:{(414,1),(415,1),(417,1),(418,1),(489,1),(550,1)}
       458:{4,6}:{(415,1),(416,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(511,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(510,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(444,1),(450,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(451,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(452,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(453,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(448,1),(502,1),(509,1),(511,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(508,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{3,5,7}:{(446,1),(447,1),(449,1),(511,1)}
       485:{4,6}:{(447,1),(448,1),(511,1)}
       486:{1,5,7}:{(450,1),(452,1),(456,1),(512,1)}
       487:{1,6}:{(451,1),(453,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(482,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(483,1),(486,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(487,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(488,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(484,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(510,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 529 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 530 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(61,1),(107,1),(235,1),(304,1),(316,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(29,1),(44,1),(96,1),(148,1),(248,1),(350,1),(356,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(356,1),(368,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(76,1),(88,1),(95,1),(182,1),(290,1),(369,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(151,1),(155,1),(188,1),(193,1),(254,1),(266,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(24,1),(53,1),(61,1),(107,1),(200,1)}
         6:{3,4,6}:{(1,1),(15,1),(16,1),(396,1),(402,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(23,1),(55,1),(415,1)}
         8:{2,3,6}:{(2,1),(15,1),(19,1),(402,1),(414,1)}
         9:{2,4,7}:{(3,1),(18,1),(21,1),(22,1),(344,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(19,1),(22,1),(23,1),(49,1),(65,1),(115,1),(120,1),(129,1),(140,1),(145,1),(241,1),(244,1),(321,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(200,1),(307,1),(320,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(76,1),(369,1),(370,1)}
        13:{3,4,6,7}:{(6,1),(28,1),(29,1),(84,1),(96,1),(170,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(30,1),(31,1),(43,1),(76,1),(86,1),(95,1),(160,1)}
        15:{2,4,6}:{(5,1),(6,1),(8,1),(31,1),(32,1)}
        16:{3,5,6}:{(6,1),(29,1),(32,1),(33,1),(248,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(34,1),(35,1),(170,1),(275,1)}
        18:{2,5,7}:{(7,1),(9,1),(37,1),(42,1)}
        19:{1,3,6}:{(7,1),(8,1),(31,1),(37,1),(89,1),(453,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(32,1),(35,1),(38,1),(39,1),(92,1),(179,1),(188,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(182,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(160,1),(176,1),(373,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(18,1),(46,1),(47,1),(50,1),(109,1),(415,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(115,1),(120,1),(321,1),(322,1),(326,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(17,1),(52,1),(53,1),(61,1)}
        29:{3,5,7}:{(13,1),(16,1),(53,1),(54,1)}
        30:{2,4,5,7}:{(14,1),(18,1),(55,1),(56,1),(62,1),(70,1),(125,1),(135,1),(138,1),(223,1),(228,1)}
        31:{1,4,6}:{(14,1),(15,1),(19,1),(56,1),(57,1)}
        32:{2,5,6}:{(15,1),(16,1),(53,1),(57,1),(200,1)}
        33:{4,5,6}:{(16,1),(54,1),(301,1),(396,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(52,1),(59,1),(60,1),(124,1),(330,1)}
        35:{2,3,5,7}:{(17,1),(20,1),(53,1),(60,1),(61,1),(127,1),(225,1),(235,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(46,1),(55,1),(62,1),(63,1),(69,1),(138,1)}
        37:{2,6}:{(18,1),(19,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(23,1),(57,1),(60,1),(64,1),(65,1),(130,1),(140,1),(231,1),(241,1)}
        39:{2,4,6}:{(20,1),(24,1),(61,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(62,1),(67,1),(68,1),(234,1),(242,1),(316,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(140,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(65,1),(70,1),(120,1),(228,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(307,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(36,1),(72,1),(76,1),(77,1),(81,1),(160,1)}
        47:{1,2,6}:{(25,1),(37,1),(77,1),(153,1),(453,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(76,1),(79,1),(80,1),(148,1),(268,1),(362,1),(369,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(160,1),(373,1)}
        51:{3,5,6,7}:{(29,1),(83,1),(84,1),(170,1),(349,1),(512,1)}
        52:{1,4,6,7}:{(28,1),(31,1),(34,1),(85,1),(86,1),(95,1)}
        53:{2,5,7}:{(28,1),(29,1),(32,1),(86,1)}
        54:{4,5,7}:{(29,1),(33,1),(84,1)}
        55:{3,5,7}:{(30,1),(88,1),(89,1),(105,1),(176,1),(182,1)}
        56:{2,4,6}:{(30,1),(31,1),(37,1),(89,1),(90,1),(177,1)}
        57:{1,5,6}:{(31,1),(32,1),(86,1),(90,1),(160,1)}
        58:{2,4,5,6}:{(32,1),(33,1),(39,1),(87,1),(91,1),(92,1),(179,1),(253,1),(355,1),(388,1),(511,1),(540,1)}
        59:{2,6,7}:{(34,1),(37,1),(94,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(38,1),(86,1),(94,1),(95,1),(172,1),(182,1),(280,1),(290,1)}
        61:{2,4,7}:{(35,1),(39,1),(95,1),(96,1)}
        62:{2,4,7}:{(36,1),(76,1),(88,1),(98,1),(104,1)}
        63:{2,3,6}:{(36,1),(37,1),(77,1),(89,1),(98,1)}
        64:{2,5,6}:{(37,1),(38,1),(42,1),(94,1),(100,1),(295,1)}
        65:{1,4,6}:{(38,1),(39,1),(43,1),(95,1),(100,1),(177,1)}
        66:{3,4,6}:{(39,1),(44,1),(92,1),(96,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(97,1),(102,1),(103,1),(288,1),(368,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(98,1),(102,1),(103,1),(104,1),(187,1),(191,1),(258,1),(266,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(100,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(101,1),(105,1),(106,1),(166,1),(194,1),(265,1),(283,1),(387,1),(464,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(200,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,2,6,7}:{(47,1),(59,1),(112,1),(113,1),(202,1),(330,1),(414,1),(425,1),(484,1),(485,1),(524,1)}
        76:{1,4,7}:{(46,1),(62,1),(107,1),(115,1),(120,1)}
        77:{1,3,6}:{(46,1),(47,1),(63,1),(108,1),(115,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(64,1),(113,1),(116,1),(117,1),(203,1),(231,1),(320,1),(322,1),(339,1),(414,1),(418,1),(419,1),(481,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(114,1),(118,1),(119,1),(195,1),(415,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(115,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(321,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(211,1),(217,1),(245,1),(320,1),(325,1),(326,1),(411,1),(419,1),(429,1),(475,1),(487,1)}
        83:{2,5,6,7}:{(51,1),(53,1),(122,1),(123,1),(302,1),(489,1)}
        84:{4,6,7}:{(51,1),(54,1),(396,1),(529,1)}
        85:{2,4,6,7}:{(52,1),(56,1),(59,1),(124,1),(125,1),(135,1),(223,1)}
        86:{1,5,7}:{(52,1),(53,1),(57,1),(125,1)}
        87:{2,4,5,7}:{(53,1),(54,1),(58,1),(61,1),(123,1),(126,1),(127,1),(225,1),(428,1),(489,1),(529,1)}
        88:{3,4,7}:{(55,1),(62,1),(129,1),(145,1),(223,1)}
        89:{3,6}:{(55,1),(56,1)}
        90:{2,5,6}:{(56,1),(57,1),(125,1),(130,1),(138,1)}
        91:{1,4,5,6}:{(57,1),(58,1),(65,1),(126,1),(131,1),(132,1),(211,1),(231,1),(314,1),(338,1),(488,1)}
        92:{3,5,6}:{(58,1),(66,1),(127,1),(307,1),(402,1),(430,1)}
        93:{2,3,6,7}:{(59,1),(63,1),(112,1),(124,1),(133,1),(134,1),(341,1),(414,1),(524,1),(525,1),(544,1)}
        94:{2,5,7}:{(59,1),(60,1),(64,1),(135,1),(344,1)}
        95:{1,4,7}:{(60,1),(61,1),(65,1),(135,1),(223,1)}
        96:{3,4,7}:{(61,1),(66,1),(127,1),(529,1)}
        97:{2,4,5,7}:{(62,1),(67,1),(114,1),(128,1),(137,1),(138,1),(144,1),(237,1),(242,1)}
        98:{2,4,6}:{(62,1),(63,1),(115,1),(129,1),(138,1)}
        99:{2,3,5,6}:{(63,1),(64,1),(69,1),(116,1),(130,1),(134,1),(138,1),(139,1),(140,1),(213,1),(232,1),(239,1),(320,1),(341,1),(414,1),(481,1),(482,1),(522,1),(525,1),(543,1),(546,1)}
       100:{2,4,6}:{(64,1),(65,1),(70,1),(135,1),(140,1)}
       101:{1,3,4,6}:{(65,1),(66,1),(71,1),(132,1),(136,1),(140,1),(141,1),(229,1),(241,1),(338,1),(430,1)}
       102:{2,3,6}:{(67,1),(118,1),(137,1),(341,1),(414,1)}
       103:{2,3,5}:{(68,1),(119,1),(138,1),(144,1),(239,1),(320,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(140,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(320,1)}
       107:{2,4,7}:{(72,1),(76,1),(148,1),(151,1),(155,1)}
       108:{2,3,6}:{(72,1),(77,1),(151,1),(153,1),(247,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,3,6,7}:{(75,1),(77,1),(93,1),(149,1),(156,1),(157,1),(367,1),(453,1),(509,1)}
       113:{1,2,5,7}:{(75,1),(78,1),(94,1),(157,1),(158,1),(255,1),(280,1),(368,1),(370,1),(386,1),(456,1),(507,1)}
       114:{1,4,5,7}:{(76,1),(79,1),(97,1),(150,1),(159,1),(160,1),(165,1),(263,1),(268,1)}
       115:{1,4,6}:{(76,1),(77,1),(98,1),(151,1),(160,1)}
       116:{1,3,5,6}:{(77,1),(78,1),(81,1),(99,1),(152,1),(157,1),(160,1),(161,1),(162,1),(259,1),(265,1),(267,1),(367,1),(373,1),(453,1),(457,1),(509,1),(539,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(100,1),(158,1),(161,1),(162,1),(189,1),(256,1),(266,1),(295,1),(376,1),(388,1),(451,1),(502,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(159,1),(247,1),(453,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(160,1),(165,1),(248,1),(257,1),(373,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(464,1),(503,1)}
       122:{1,5,6,7}:{(83,1),(86,1),(168,1),(169,1),(259,1),(459,1)}
       123:{2,4,6,7}:{(83,1),(84,1),(87,1),(169,1),(170,1),(275,1),(355,1)}
       124:{3,6,7}:{(85,1),(89,1),(172,1),(182,1)}
       125:{2,5,7}:{(85,1),(86,1),(90,1),(172,1)}
       126:{1,4,5,7}:{(86,1),(87,1),(91,1),(95,1),(169,1),(173,1),(174,1),(280,1),(385,1),(459,1)}
       127:{3,5,7}:{(87,1),(92,1),(96,1),(170,1),(463,1)}
       128:{3,4,5,7}:{(88,1),(97,1),(175,1),(176,1),(192,1),(277,1),(281,1),(288,1),(296,1)}
       129:{3,4,6}:{(88,1),(89,1),(98,1),(176,1),(177,1)}
       130:{3,5,6}:{(89,1),(90,1),(172,1),(176,1),(177,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(100,1),(173,1),(177,1),(178,1),(179,1),(186,1),(284,1),(287,1),(378,1),(458,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(101,1),(174,1),(178,1),(179,1),(265,1),(367,1)}
       133:{2,4,6,7}:{(93,1),(98,1),(156,1),(171,1),(180,1),(181,1),(287,1),(538,1)}
       134:{2,3,5,7}:{(93,1),(94,1),(99,1),(157,1),(172,1),(180,1),(181,1),(182,1),(262,1),(288,1),(368,1),(507,1),(537,1),(548,1)}
       135:{2,4,7}:{(94,1),(95,1),(100,1),(182,1)}
       136:{1,3,4,7}:{(95,1),(96,1),(101,1),(174,1),(182,1),(183,1),(278,1),(290,1),(385,1),(463,1)}
       137:{2,4,6}:{(97,1),(102,1),(159,1),(175,1),(185,1)}
       138:{2,5}:{(98,1),(160,1),(176,1)}
       139:{2,4,6}:{(99,1),(104,1),(161,1),(177,1),(181,1),(186,1),(187,1),(508,1),(549,1)}
       140:{3,6}:{(100,1),(105,1),(182,1)}
       141:{2,4,6}:{(101,1),(106,1),(179,1),(183,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(184,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(185,1),(190,1),(191,1),(292,1),(363,1),(372,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(188,1),(193,1),(194,1),(464,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(373,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(398,1)}
       149:{2,3,6,7}:{(108,1),(112,1),(197,1),(198,1),(202,1),(299,1),(402,1),(414,1),(425,1),(490,1),(494,1)}
       150:{2,4,5,7}:{(107,1),(109,1),(114,1),(195,1),(199,1),(200,1),(204,1),(301,1),(305,1),(309,1),(398,1)}
       151:{2,4,6}:{(107,1),(108,1),(115,1),(196,1),(200,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(116,1),(198,1),(200,1),(201,1),(203,1),(213,1),(300,1),(302,1),(307,1),(310,1),(320,1),(339,1),(402,1),(414,1),(430,1),(434,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6,7}:{(112,1),(115,1),(133,1),(197,1),(206,1),(207,1),(314,1),(527,1)}
       157:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(198,1),(206,1),(207,1),(208,1),(317,1),(415,1)}
       158:{1,2,4,7}:{(113,1),(117,1),(135,1),(207,1),(208,1),(236,1),(309,1),(316,1),(344,1),(421,1),(428,1),(483,1),(521,1)}
       159:{1,4,6}:{(114,1),(118,1),(137,1),(199,1),(210,1)}
       160:{1,5}:{(115,1),(138,1),(200,1)}
       161:{1,4,6}:{(116,1),(120,1),(139,1),(201,1),(207,1),(211,1),(487,1)}
       162:{1,3,6}:{(117,1),(121,1),(140,1),(208,1),(213,1),(310,1),(430,1),(522,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(209,1),(214,1),(299,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(210,1),(214,1),(215,1),(300,1),(310,1),(410,1),(418,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(493,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(320,1),(348,1),(411,1),(412,1)}
       168:{2,5,6,7}:{(122,1),(125,1),(219,1),(220,1),(232,1),(423,1)}
       169:{1,4,6,7}:{(122,1),(123,1),(126,1),(220,1),(221,1),(314,1),(330,1)}
       170:{3,6,7}:{(123,1),(127,1),(402,1)}
       171:{3,4,6,7}:{(124,1),(129,1),(133,1),(222,1),(223,1),(234,1),(332,1),(341,1),(544,1),(545,1),(551,1)}
       172:{3,5,7}:{(124,1),(125,1),(130,1),(223,1)}
       173:{2,4,5,7}:{(125,1),(126,1),(131,1),(135,1),(220,1),(223,1),(224,1),(225,1),(327,1),(334,1),(423,1)}
       174:{1,3,5,7}:{(126,1),(127,1),(132,1),(136,1),(221,1),(224,1),(225,1)}
       175:{3,4,6}:{(128,1),(137,1),(227,1),(332,1),(341,1)}
       176:{3,5}:{(129,1),(138,1),(228,1)}
       177:{4,6}:{(130,1),(223,1),(228,1)}
       178:{3,5,6}:{(131,1),(140,1),(224,1),(229,1),(239,1),(341,1)}
       179:{2,5,6}:{(132,1),(141,1),(225,1),(231,1),(320,1),(414,1)}
       180:{2,5,7}:{(133,1),(138,1),(206,1),(222,1),(232,1),(546,1)}
       181:{2,4,7}:{(134,1),(139,1),(207,1),(223,1),(234,1),(551,1)}
       182:{3,7}:{(135,1),(140,1)}
       183:{2,4,7}:{(136,1),(141,1),(225,1),(235,1),(236,1),(344,1)}
       184:{2,4,6,7}:{(137,1),(142,1),(209,1),(226,1),(237,1),(242,1)}
       185:{2,5,6}:{(137,1),(138,1),(210,1),(227,1),(237,1)}
       186:{2,4,5}:{(138,1),(139,1),(211,1),(228,1),(239,1),(320,1),(546,1),(552,1)}
       187:{3,4,6}:{(139,1),(140,1),(145,1),(234,1),(239,1),(341,1),(522,1),(523,1)}
       188:{2,3,6}:{(140,1),(141,1),(146,1),(235,1),(241,1),(430,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(236,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(237,1),(242,1),(345,1),(409,1),(417,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(239,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(493,1)}
       194:{1,3,5}:{(146,1),(147,1),(241,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(150,1),(247,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(151,1),(247,1),(248,1),(352,1)}
       197:{2,4,6,7}:{(149,1),(151,1),(156,1),(246,1),(249,1),(250,1),(355,1),(515,1)}
       198:{2,3,5,7}:{(149,1),(152,1),(157,1),(249,1),(250,1),(255,1),(262,1),(351,1),(356,1),(362,1),(368,1),(386,1),(463,1),(512,1)}
       199:{2,4,6}:{(150,1),(153,1),(159,1),(247,1),(252,1),(352,1)}
       200:{2,5}:{(151,1),(160,1),(248,1)}
       201:{2,4,6}:{(152,1),(155,1),(161,1),(250,1),(253,1),(254,1),(352,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,5,7}:{(156,1),(160,1),(180,1),(249,1),(259,1),(539,1)}
       207:{1,4,7}:{(157,1),(161,1),(181,1),(250,1)}
       208:{1,3,7}:{(158,1),(162,1),(182,1),(262,1),(362,1),(463,1),(537,1)}
       209:{1,4,6,7}:{(159,1),(163,1),(184,1),(251,1),(263,1),(268,1)}
       210:{1,5,6}:{(159,1),(160,1),(185,1),(252,1),(263,1)}
       211:{1,4,5}:{(160,1),(161,1),(186,1),(253,1),(265,1),(373,1),(539,1)}
       212:{1,3,4,6}:{(161,1),(162,1),(166,1),(187,1),(254,1),(261,1),(265,1),(266,1),(367,1)}
       213:{2,3,6}:{(162,1),(167,1),(262,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(263,1),(268,1),(351,1),(362,1),(450,1),(456,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(352,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(265,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(373,1),(377,1)}
       219:{3,5,6,7}:{(168,1),(172,1),(273,1),(274,1),(276,1),(379,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(173,1),(273,1),(274,1),(275,1),(287,1)}
       221:{1,3,6,7}:{(169,1),(170,1),(174,1),(274,1),(275,1),(367,1)}
       222:{3,5,7}:{(171,1),(176,1),(180,1),(276,1),(277,1),(550,1)}
       223:{4,7}:{(172,1),(177,1)}
       224:{3,5,7}:{(173,1),(178,1),(182,1),(274,1),(278,1)}
       225:{2,5,7}:{(174,1),(179,1),(183,1),(275,1),(280,1)}
       226:{3,4,6,7}:{(175,1),(184,1),(281,1),(296,1),(382,1),(389,1)}
       227:{3,5,6}:{(175,1),(176,1),(185,1),(281,1),(282,1)}
       228:{4,5}:{(176,1),(177,1)}
       229:{3,4,6}:{(177,1),(178,1),(278,1),(283,1),(284,1)}
       230:{2,3,5,6}:{(178,1),(179,1),(188,1),(279,1),(284,1),(285,1),(293,1),(390,1),(458,1)}
       231:{1,5,6}:{(179,1),(189,1),(280,1),(373,1),(453,1)}
       232:{2,5,6}:{(180,1),(259,1),(276,1),(287,1)}
       233:{2,4,5,7}:{(180,1),(181,1),(186,1),(260,1),(277,1),(287,1),(288,1),(368,1)}
       234:{3,4,7}:{(181,1),(182,1),(187,1),(288,1),(537,1)}
       235:{2,3,7}:{(182,1),(183,1),(188,1),(290,1),(463,1)}
       236:{1,4,7}:{(183,1),(189,1),(280,1),(290,1)}
       237:{2,5,7}:{(184,1),(185,1),(263,1),(281,1)}
       238:{2,4,5,6}:{(185,1),(186,1),(191,1),(264,1),(282,1),(287,1),(291,1),(292,1),(372,1),(502,1),(533,1),(549,1)}
       239:{3,5}:{(186,1),(187,1)}
       240:{2,3,4,6}:{(187,1),(188,1),(193,1),(266,1),(284,1),(289,1),(293,1),(294,1),(390,1),(449,1),(508,1),(538,1)}
       241:{1,3,6}:{(188,1),(189,1),(194,1),(290,1),(295,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(292,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,4,6,7}:{(196,1),(197,1),(298,1),(299,1),(304,1),(396,1),(398,1),(402,1),(490,1),(529,1),(530,1)}
       247:{3,6}:{(195,1),(199,1)}
       248:{3,5}:{(196,1),(200,1),(301,1)}
       249:{2,5,7}:{(197,1),(200,1),(206,1),(298,1),(302,1),(531,1)}
       250:{2,4,7}:{(198,1),(201,1),(207,1),(304,1),(398,1),(529,1)}
       251:{2,4,6,7}:{(199,1),(202,1),(209,1),(299,1),(305,1),(309,1),(398,1)}
       252:{2,5,6}:{(199,1),(200,1),(210,1),(300,1),(305,1)}
       253:{2,4,5}:{(200,1),(201,1),(211,1),(301,1),(307,1),(320,1),(531,1),(547,1)}
       254:{3,4,6}:{(201,1),(205,1),(304,1),(307,1),(310,1),(402,1),(430,1),(493,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,6}:{(206,1),(232,1),(302,1),(314,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(211,1),(233,1),(303,1),(314,1),(315,1),(415,1)}
       261:{1,3,4,7}:{(207,1),(208,1),(212,1),(234,1),(304,1),(315,1),(316,1)}
       262:{2,3,7}:{(208,1),(213,1),(316,1),(317,1),(344,1),(483,1)}
       263:{1,5,7}:{(209,1),(210,1),(237,1),(305,1)}
       264:{1,4,5,6}:{(210,1),(211,1),(215,1),(238,1),(306,1),(314,1),(318,1),(319,1),(418,1),(474,1),(517,1)}
       265:{1,3,5}:{(211,1),(212,1),(239,1),(307,1),(320,1)}
       266:{2,4,6}:{(212,1),(213,1),(217,1),(316,1),(320,1),(321,1),(414,1)}
       267:{1,3,6}:{(213,1),(218,1),(317,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(398,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(319,1),(323,1),(324,1),(399,1),(410,1),(474,1),(522,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(320,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{4,6,7}:{(219,1),(223,1),(327,1),(332,1)}
       274:{3,6,7}:{(220,1),(224,1),(341,1)}
       275:{2,6,7}:{(221,1),(225,1),(330,1),(414,1)}
       276:{3,5,6}:{(222,1),(232,1),(332,1),(341,1)}
       277:{4,5,7}:{(222,1),(223,1),(228,1),(332,1),(551,1),(552,1)}
       278:{3,4,7}:{(223,1),(224,1),(229,1),(334,1)}
       279:{2,3,5,7}:{(224,1),(225,1),(230,1),(235,1),(329,1),(334,1),(335,1),(423,1)}
       280:{1,5,7}:{(225,1),(231,1),(236,1),(330,1)}
       281:{3,5,7}:{(226,1),(227,1),(237,1),(336,1)}
       282:{4,5,6}:{(227,1),(228,1),(332,1),(336,1)}
       283:{3,4,5}:{(228,1),(229,1),(239,1),(337,1),(523,1)}
       284:{2,4,6}:{(229,1),(230,1),(334,1),(337,1),(338,1)}
       285:{1,3,5,6}:{(230,1),(231,1),(241,1),(335,1),(338,1),(339,1),(346,1),(430,1),(431,1),(488,1),(528,1)}
       286:{2,5,6,7}:{(232,1),(237,1),(313,1),(331,1),(340,1),(542,1)}
       287:{2,4,6}:{(232,1),(233,1),(314,1),(332,1),(341,1),(414,1)}
       288:{3,5,7}:{(233,1),(234,1),(239,1),(341,1)}
       289:{2,3,4,7}:{(234,1),(235,1),(240,1),(316,1),(334,1),(342,1),(343,1),(479,1),(526,1)}
       290:{1,3,7}:{(235,1),(236,1),(241,1),(344,1)}
       291:{2,4,5,7}:{(237,1),(238,1),(242,1),(318,1),(336,1),(340,1),(345,1),(417,1),(521,1),(542,1),(551,1)}
       292:{3,5,6}:{(238,1),(239,1),(243,1),(341,1),(345,1),(522,1)}
       293:{2,3,5}:{(239,1),(240,1),(320,1),(337,1),(346,1),(546,1)}
       294:{1,3,4,6}:{(240,1),(241,1),(244,1),(321,1),(338,1),(343,1),(346,1),(347,1),(420,1),(430,1),(431,1),(487,1),(493,1),(527,1),(530,1)}
       295:{2,6}:{(241,1),(245,1),(344,1)}
       296:{3,4,7}:{(242,1),(243,1),(345,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,5,7}:{(246,1),(248,1),(249,1),(349,1),(350,1),(541,1)}
       299:{3,6,7}:{(247,1),(251,1),(351,1),(362,1)}
       300:{3,5,6}:{(247,1),(248,1),(252,1),(351,1),(352,1)}
       301:{4,5}:{(248,1),(352,1)}
       302:{2,5,6}:{(249,1),(259,1),(349,1),(355,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(260,1),(350,1),(355,1),(356,1),(368,1)}
       304:{3,4,7}:{(250,1),(254,1),(356,1),(362,1),(463,1)}
       305:{2,5,7}:{(251,1),(252,1),(263,1),(351,1)}
       306:{2,4,5,6}:{(252,1),(253,1),(256,1),(264,1),(352,1),(355,1),(358,1),(359,1),(372,1),(435,1),(440,1),(497,1)}
       307:{3,5}:{(253,1),(254,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(266,1),(357,1),(360,1),(361,1),(363,1),(394,1),(440,1),(443,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(263,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,6}:{(259,1),(260,1),(287,1),(355,1),(367,1),(453,1)}
       315:{1,3,5,7}:{(260,1),(261,1),(265,1),(288,1),(356,1),(367,1),(368,1)}
       316:{2,4,7}:{(261,1),(262,1),(266,1),(368,1),(369,1)}
       317:{1,3,7}:{(262,1),(267,1),(369,1),(370,1)}
       318:{1,4,5,7}:{(263,1),(264,1),(268,1),(291,1),(358,1),(366,1),(371,1),(456,1),(501,1),(532,1)}
       319:{1,3,5,6}:{(264,1),(265,1),(269,1),(292,1),(359,1),(367,1),(371,1),(372,1)}
       320:{2,5}:{(265,1),(266,1),(373,1)}
       321:{1,4,6}:{(266,1),(267,1),(271,1),(369,1),(373,1),(453,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(370,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(371,1),(375,1),(439,1),(450,1),(501,1),(537,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(372,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(373,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{4,5,7}:{(273,1),(378,1),(379,1)}
       328:{3,4,6,7}:{(273,1),(274,1),(278,1),(379,1),(380,1),(383,1)}
       329:{2,3,6,7}:{(274,1),(275,1),(279,1),(380,1),(381,1),(390,1)}
       330:{1,6,7}:{(275,1),(280,1),(453,1)}
       331:{3,5,6,7}:{(276,1),(281,1),(286,1),(382,1),(389,1),(548,1)}
       332:{4,6}:{(276,1),(277,1)}
       333:{3,4,5,7}:{(277,1),(278,1),(283,1),(288,1),(379,1),(383,1),(384,1),(536,1),(550,1)}
       334:{2,4,7}:{(278,1),(279,1),(284,1),(385,1)}
       335:{1,3,5,7}:{(279,1),(280,1),(285,1),(290,1),(381,1),(385,1),(386,1),(459,1),(463,1),(512,1)}
       336:{4,5,7}:{(281,1),(282,1),(382,1)}
       337:{2,4,5}:{(283,1),(284,1),(293,1),(387,1),(508,1)}
       338:{1,4,6}:{(284,1),(285,1),(385,1),(387,1),(388,1),(540,1)}
       339:{2,5,6}:{(285,1),(295,1),(386,1),(388,1),(393,1),(465,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(291,1),(366,1),(382,1),(389,1),(452,1)}
       341:{3,6}:{(287,1),(288,1)}
       342:{2,3,5,7}:{(288,1),(289,1),(293,1),(368,1),(384,1),(390,1),(391,1)}
       343:{1,3,4,7}:{(289,1),(290,1),(294,1),(369,1),(385,1),(391,1),(392,1),(455,1),(463,1),(510,1),(514,1)}
       344:{2,7}:{(290,1),(295,1)}
       345:{3,5,7}:{(291,1),(292,1),(296,1),(389,1),(537,1)}
       346:{1,3,5}:{(293,1),(294,1),(373,1),(387,1),(393,1),(464,1),(539,1),(541,1)}
       347:{2,4,6}:{(294,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,6}:{(298,1),(302,1),(396,1),(402,1)}
       350:{4,5,7}:{(298,1),(301,1),(396,1),(398,1),(529,1),(547,1)}
       351:{3,5,7}:{(299,1),(300,1),(305,1),(398,1)}
       352:{4,6}:{(300,1),(301,1),(398,1)}
       353:{3,4,5}:{(301,1),(307,1),(399,1),(400,1),(493,1)}
       354:{2,5,6,7}:{(302,1),(305,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,6}:{(302,1),(303,1),(314,1),(396,1),(402,1),(414,1)}
       356:{3,5,7}:{(303,1),(304,1),(307,1),(402,1)}
       357:{2,3,4,7}:{(304,1),(308,1),(316,1),(403,1),(404,1),(409,1),(433,1),(473,1),(495,1)}
       358:{2,4,5,7}:{(305,1),(306,1),(309,1),(318,1),(398,1),(401,1),(405,1),(417,1),(468,1),(473,1),(516,1)}
       359:{3,5,6}:{(306,1),(307,1),(310,1),(399,1),(402,1),(405,1)}
       360:{2,3,5}:{(307,1),(308,1),(320,1),(400,1),(407,1),(531,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(321,1),(404,1),(407,1),(408,1),(410,1),(420,1),(474,1),(477,1),(487,1),(522,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(522,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(318,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,6}:{(314,1),(315,1),(341,1),(402,1),(414,1)}
       368:{2,5,7}:{(315,1),(316,1),(320,1),(414,1),(415,1)}
       369:{1,4,7}:{(316,1),(317,1),(321,1),(415,1)}
       370:{1,2,7}:{(317,1),(322,1),(344,1),(483,1)}
       371:{1,3,5,7}:{(318,1),(319,1),(323,1),(345,1),(405,1),(413,1),(417,1)}
       372:{2,5,6}:{(319,1),(320,1),(324,1),(414,1),(417,1),(418,1)}
       373:{1,5}:{(320,1),(321,1)}
       374:{1,2,4,6}:{(321,1),(322,1),(326,1),(347,1),(408,1),(416,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(417,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(418,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,5,6}:{(327,1),(332,1),(422,1),(552,1)}
       379:{3,5,7}:{(327,1),(328,1),(422,1),(423,1)}
       380:{2,4,6,7}:{(328,1),(329,1),(334,1),(423,1),(424,1),(426,1)}
       381:{1,3,6,7}:{(329,1),(330,1),(335,1),(424,1),(425,1),(431,1),(490,1)}
       382:{4,6,7}:{(331,1),(332,1),(336,1),(551,1)}
       383:{3,4,6}:{(332,1),(333,1),(341,1),(422,1),(426,1)}
       384:{2,4,5,7}:{(333,1),(334,1),(337,1),(342,1),(423,1),(426,1),(427,1),(526,1),(546,1)}
       385:{1,4,7}:{(334,1),(335,1),(338,1),(428,1),(529,1)}
       386:{2,5,7}:{(335,1),(339,1),(344,1),(425,1),(428,1)}
       387:{1,4,5}:{(337,1),(338,1),(346,1),(429,1),(487,1),(547,1)}
       388:{2,4,6}:{(338,1),(339,1),(428,1),(429,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(345,1)}
       390:{2,3,6}:{(341,1),(342,1),(414,1),(426,1),(431,1)}
       391:{1,3,5,7}:{(342,1),(343,1),(346,1),(415,1),(427,1),(431,1),(432,1),(492,1)}
       392:{2,4,7}:{(343,1),(344,1),(347,1),(432,1),(433,1)}
       393:{2,5}:{(346,1),(347,1)}
       394:{2,3,6}:{(347,1),(348,1),(420,1),(430,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(436,1),(442,1),(496,1)}
       396:{4,6}:{(349,1),(350,1)}
       397:{3,4,5,7}:{(350,1),(353,1),(356,1),(437,1),(438,1),(439,1),(496,1),(514,1),(541,1)}
       398:{4,7}:{(351,1),(352,1)}
       399:{3,4,6}:{(352,1),(353,1),(359,1),(439,1),(440,1)}
       400:{2,4,5}:{(353,1),(360,1),(440,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(358,1),(366,1),(436,1),(442,1),(452,1)}
       402:{3,6}:{(355,1),(356,1)}
       403:{2,3,5,7}:{(356,1),(357,1),(360,1),(368,1),(438,1),(443,1),(444,1)}
       404:{1,3,4,7}:{(357,1),(361,1),(369,1),(444,1),(445,1),(450,1),(455,1),(501,1),(510,1),(536,1),(537,1)}
       405:{3,5,7}:{(358,1),(359,1),(362,1),(439,1),(442,1)}
       406:{2,3,5,6}:{(359,1),(360,1),(363,1),(372,1),(440,1),(443,1),(446,1),(447,1),(497,1)}
       407:{1,3,5}:{(360,1),(361,1),(373,1),(441,1),(448,1),(503,1),(539,1),(550,1)}
       408:{2,4,6}:{(361,1),(365,1),(445,1),(448,1),(449,1),(451,1),(505,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(537,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(389,1),(442,1),(452,1)}
       414:{2,6}:{(367,1),(368,1),(453,1)}
       415:{1,5,7}:{(368,1),(369,1),(373,1),(453,1)}
       416:{1,2,4,7}:{(369,1),(370,1),(374,1),(392,1),(445,1),(454,1),(455,1),(510,1)}
       417:{2,5,7}:{(371,1),(372,1),(375,1),(452,1),(456,1)}
       418:{1,5,6}:{(372,1),(373,1),(376,1),(453,1),(456,1)}
       419:{1,2,5}:{(373,1),(374,1),(393,1),(448,1),(457,1),(539,1)}
       420:{1,3,6}:{(374,1),(377,1),(394,1),(449,1),(455,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(456,1)}
       422:{3,5,6}:{(378,1),(379,1),(383,1),(458,1),(550,1)}
       423:{2,5,7}:{(379,1),(380,1),(458,1),(459,1)}
       424:{1,4,6,7}:{(380,1),(381,1),(385,1),(459,1),(460,1),(461,1)}
       425:{2,6,7}:{(381,1),(386,1),(465,1)}
       426:{2,4,6}:{(383,1),(384,1),(390,1),(458,1),(461,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(387,1),(391,1),(459,1),(461,1),(462,1),(510,1),(539,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(463,1)}
       429:{2,4,5}:{(387,1),(388,1),(393,1),(464,1),(467,1)}
       430:{3,6}:{(388,1),(463,1),(464,1)}
       431:{1,3,6}:{(390,1),(391,1),(453,1),(461,1),(465,1),(513,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,7}:{(392,1),(394,1),(455,1),(463,1)}
       434:{2,3,5}:{(393,1),(394,1),(457,1),(464,1),(467,1)}
       435:{4,5,6}:{(396,1),(468,1),(469,1),(547,1)}
       436:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       437:{3,4,6}:{(396,1),(397,1),(402,1),(469,1),(471,1)}
       438:{2,4,5,7}:{(397,1),(400,1),(403,1),(471,1),(472,1),(473,1),(495,1),(516,1),(531,1)}
       439:{3,4,7}:{(398,1),(399,1),(405,1),(473,1)}
       440:{2,4,6}:{(399,1),(400,1),(406,1),(473,1),(474,1)}
       441:{1,4,5}:{(400,1),(407,1),(474,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(405,1)}
       443:{2,3,6}:{(402,1),(403,1),(414,1),(471,1),(477,1)}
       444:{1,3,5,7}:{(403,1),(404,1),(407,1),(415,1),(472,1),(477,1),(478,1),(520,1)}
       445:{2,4,7}:{(404,1),(408,1),(478,1),(479,1),(483,1)}
       446:{2,3,5,7}:{(405,1),(406,1),(409,1),(417,1),(473,1),(476,1),(480,1),(516,1)}
       447:{1,3,5,6}:{(406,1),(407,1),(410,1),(418,1),(474,1),(477,1),(480,1),(481,1),(517,1),(522,1),(543,1)}
       448:{2,5}:{(407,1),(408,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(479,1),(482,1),(522,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,6}:{(414,1),(415,1)}
       454:{1,2,5,7}:{(415,1),(416,1),(419,1),(432,1),(478,1),(485,1),(486,1)}
       455:{1,3,7}:{(416,1),(420,1),(433,1),(479,1)}
       456:{1,5,7}:{(417,1),(418,1),(421,1),(484,1)}
       457:{1,3,5}:{(419,1),(420,1),(434,1),(482,1),(487,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,5,7}:{(423,1),(424,1),(488,1),(489,1)}
       460:{2,4,6,7}:{(424,1),(425,1),(428,1),(489,1),(490,1),(491,1),(529,1)}
       461:{1,4,6}:{(426,1),(427,1),(431,1),(488,1),(491,1)}
       462:{2,4,5,7}:{(427,1),(428,1),(429,1),(432,1),(489,1),(491,1),(492,1),(495,1),(529,1),(531,1),(547,1)}
       463:{3,7}:{(428,1),(430,1)}
       464:{3,5}:{(429,1),(430,1),(493,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(492,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(434,1),(487,1),(493,1)}
       468:{4,5,7}:{(435,1),(436,1),(496,1)}
       469:{3,5,6}:{(435,1),(437,1),(496,1),(497,1),(541,1)}
       470:{3,4,6,7}:{(436,1),(437,1),(439,1),(442,1),(496,1),(498,1)}
       471:{2,4,6}:{(437,1),(438,1),(443,1),(497,1),(499,1)}
       472:{1,4,5,7}:{(438,1),(441,1),(444,1),(499,1),(500,1),(501,1),(510,1),(532,1),(539,1)}
       473:{2,4,7}:{(439,1),(440,1),(446,1),(501,1)}
       474:{1,4,6}:{(440,1),(441,1),(447,1),(501,1),(502,1),(549,1)}
       475:{2,4,5}:{(441,1),(448,1),(502,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(446,1),(452,1),(498,1),(504,1)}
       477:{1,3,6}:{(443,1),(444,1),(453,1),(499,1),(505,1),(535,1)}
       478:{2,5,7}:{(444,1),(445,1),(448,1),(505,1)}
       479:{2,3,7}:{(445,1),(449,1),(455,1),(537,1)}
       480:{1,3,5,7}:{(446,1),(447,1),(450,1),(456,1),(501,1),(504,1),(507,1),(532,1),(537,1),(548,1)}
       481:{2,5,6}:{(447,1),(448,1),(451,1),(502,1),(505,1),(507,1)}
       482:{2,3,5}:{(448,1),(449,1),(457,1),(503,1),(508,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(456,1)}
       485:{1,2,6}:{(453,1),(454,1),(465,1),(505,1),(509,1)}
       486:{1,3,5,7}:{(454,1),(455,1),(457,1),(466,1),(506,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(457,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(461,1),(511,1),(539,1)}
       489:{2,5,7}:{(459,1),(460,1),(511,1),(512,1)}
       490:{3,6,7}:{(460,1),(463,1),(512,1),(513,1)}
       491:{2,4,6}:{(461,1),(462,1),(465,1),(511,1),(513,1),(540,1)}
       492:{3,5,7}:{(462,1),(463,1),(464,1),(513,1),(514,1),(541,1)}
       493:{3,4}:{(464,1),(467,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(513,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(514,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(470,1),(516,1)}
       497:{2,5,6}:{(469,1),(471,1),(516,1),(517,1),(531,1)}
       498:{2,4,6,7}:{(470,1),(471,1),(473,1),(476,1),(516,1),(518,1)}
       499:{1,4,6}:{(471,1),(472,1),(477,1),(517,1),(519,1)}
       500:{2,4,5,7}:{(472,1),(475,1),(478,1),(519,1),(520,1),(521,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       501:{1,4,7}:{(473,1),(474,1),(480,1),(521,1),(551,1)}
       502:{2,4,6}:{(474,1),(475,1),(481,1),(521,1),(522,1)}
       503:{3,5}:{(475,1),(522,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(518,1),(524,1),(544,1)}
       505:{2,6}:{(477,1),(478,1)}
       506:{2,3,5,7}:{(478,1),(479,1),(482,1),(486,1),(520,1),(525,1),(526,1),(546,1)}
       507:{2,5,7}:{(480,1),(481,1),(483,1),(521,1),(524,1)}
       508:{2,4}:{(482,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(491,1),(528,1),(531,1)}
       512:{3,5,7}:{(489,1),(490,1),(528,1),(529,1)}
       513:{3,6}:{(491,1),(492,1)}
       514:{3,4,7}:{(492,1),(493,1),(495,1),(529,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(530,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(498,1),(532,1)}
       517:{1,5,6}:{(497,1),(499,1),(532,1),(533,1),(539,1)}
       518:{1,4,6,7}:{(498,1),(499,1),(501,1),(504,1),(532,1),(534,1)}
       519:{2,4,6}:{(499,1),(500,1),(505,1),(533,1),(535,1),(549,1)}
       520:{3,5,7}:{(500,1),(503,1),(535,1),(536,1),(537,1),(550,1)}
       521:{2,4,7}:{(501,1),(502,1),(507,1),(537,1)}
       522:{3,6}:{(502,1),(503,1),(537,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(507,1)}
       525:{2,3,6}:{(505,1),(506,1),(509,1),(535,1),(538,1)}
       526:{2,4,7}:{(506,1),(508,1),(510,1),(536,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       529:{4,7}:{(512,1),(540,1)}
       530:{3,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(518,1),(542,1)}
       533:{2,5,6}:{(517,1),(519,1),(542,1),(543,1),(546,1)}
       534:{2,4,6,7}:{(518,1),(519,1),(521,1),(524,1),(542,1),(544,1),(551,1)}
       535:{3,6}:{(519,1),(520,1)}
       536:{3,4,7}:{(520,1),(523,1),(526,1),(545,1),(551,1)}
       537:{3,7}:{(521,1),(522,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(529,1),(547,1)}
       541:{3,5}:{(530,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(534,1),(548,1)}
       543:{3,5,6}:{(533,1),(535,1),(548,1),(549,1),(550,1)}
       544:{3,6,7}:{(534,1),(535,1),(537,1),(548,1)}
       545:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(543,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 531 :   0:{2,3,4}:{(2,1),(3,1),(33,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(22,1),(51,1),(58,1)}
         4:{4,5,6}:{(12,1),(13,1),(129,1),(147,1)}
         5:{3,4,6}:{(1,1),(13,1),(14,1),(15,1)}
         6:{2,4,5}:{(1,1),(2,1),(15,1),(16,1),(64,1),(101,1)}
         7:{2,3,6}:{(2,1),(15,1),(17,1),(18,1)}
         8:{1,3,5}:{(2,1),(3,1),(16,1),(18,1),(19,1),(42,1)}
         9:{2,4}:{(3,1),(19,1),(20,1)}
        10:{1,2,4}:{(9,1),(21,1),(22,1),(48,1),(51,1)}
        11:{5,6,7}:{(23,1),(151,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(116,1),(142,1)}
        14:{3,4,7}:{(5,1),(24,1),(26,1)}
        15:{2,4,6}:{(5,1),(6,1),(7,1),(25,1),(26,1),(27,1)}
        16:{1,4,5}:{(6,1),(8,1),(27,1),(28,1),(51,1),(86,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{1,3,6}:{(7,1),(8,1),(27,1),(29,1),(30,1),(57,1)}
        19:{2,5}:{(8,1),(9,1),(30,1)}
        20:{2,3}:{(9,1),(22,1)}
        21:{1,2,5}:{(10,1),(19,1),(34,1),(35,1),(65,1)}
        22:{1,3}:{(10,1),(20,1),(33,1)}
        23:{4,6,7}:{(11,1),(12,1),(37,1),(147,1)}
        24:{3,5,7}:{(12,1),(13,1),(14,1),(37,1),(38,1)}
        25:{2,5,6}:{(13,1),(15,1),(38,1),(39,1),(101,1),(133,1)}
        26:{2,4,7}:{(14,1),(15,1),(17,1),(38,1),(40,1)}
        27:{1,4,6}:{(15,1),(16,1),(18,1),(39,1),(40,1),(41,1)}
        28:{2,4,5}:{(16,1),(19,1),(41,1),(42,1),(45,1),(77,1),(109,1)}
        29:{1,3,7}:{(17,1),(18,1),(40,1),(43,1),(73,1)}
        30:{2,6}:{(18,1),(19,1),(43,1)}
        31:{2,3,5}:{(19,1),(20,1),(35,1),(42,1),(44,1),(45,1),(77,1)}
        32:{2,3,4}:{(20,1),(36,1),(45,1),(46,1)}
        33:{2,3}:{(22,1),(48,1)}
        34:{1,2,6}:{(21,1),(30,1),(49,1),(50,1),(84,1)}
        35:{1,3,5}:{(21,1),(22,1),(31,1),(47,1),(50,1),(51,1),(86,1)}
        36:{1,3,4}:{(22,1),(32,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,6,7}:{(23,1),(24,1),(53,1),(142,1)}
        38:{2,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        39:{1,5,6}:{(25,1),(27,1),(54,1),(55,1),(86,1),(121,1)}
        40:{1,4,7}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{2,4,6}:{(27,1),(28,1),(30,1),(55,1),(56,1),(57,1),(91,1)}
        42:{3,5}:{(28,1),(57,1),(58,1)}
        43:{2,7}:{(29,1),(30,1)}
        44:{2,3,6}:{(30,1),(31,1),(50,1),(57,1),(59,1),(60,1)}
        45:{2,4}:{(31,1),(51,1),(58,1)}
        46:{2,3,5}:{(32,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(33,1),(35,1),(63,1),(64,1),(65,1),(99,1),(101,1)}
        48:{2,4}:{(33,1),(36,1),(65,1)}
        49:{1,2,7}:{(34,1),(43,1),(66,1),(103,1)}
        50:{1,3,6}:{(34,1),(35,1),(44,1),(63,1),(66,1),(67,1)}
        51:{1,4}:{(35,1),(45,1),(64,1)}
        52:{1,3,5}:{(36,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,6,7}:{(37,1),(38,1),(70,1),(133,1)}
        54:{1,5,7}:{(38,1),(39,1),(40,1),(70,1),(71,1)}
        55:{2,5,6}:{(39,1),(41,1),(71,1),(72,1),(77,1),(113,1)}
        56:{2,4,7}:{(40,1),(41,1),(43,1),(71,1),(73,1),(108,1)}
        57:{3,6}:{(41,1),(42,1),(73,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,3,7}:{(43,1),(44,1),(66,1),(73,1),(76,1)}
        60:{2,4,6}:{(44,1),(45,1),(67,1),(74,1),(76,1),(77,1),(113,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(77,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(50,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,3,7}:{(49,1),(50,1),(59,1),(81,1),(85,1)}
        67:{1,4,6}:{(50,1),(51,1),(60,1),(82,1),(85,1),(86,1),(121,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(86,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{1,6,7}:{(53,1),(54,1),(89,1),(121,1)}
        71:{2,5,7}:{(54,1),(55,1),(56,1),(89,1),(90,1)}
        72:{3,5,6}:{(55,1),(57,1),(90,1),(91,1),(93,1),(126,1),(145,1)}
        73:{3,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(57,1),(58,1),(60,1),(91,1),(92,1),(93,1),(126,1)}
        75:{3,4,5}:{(58,1),(61,1),(93,1),(94,1)}
        76:{2,4,7}:{(59,1),(60,1),(85,1),(92,1),(95,1)}
        77:{2,5}:{(60,1),(86,1),(93,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(96,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,3,7}:{(63,1),(66,1),(100,1),(103,1),(132,1)}
        82:{2,4,6}:{(63,1),(64,1),(67,1),(98,1),(100,1),(101,1),(133,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(101,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,4,7}:{(66,1),(67,1),(76,1),(100,1),(104,1)}
        86:{1,5}:{(67,1),(77,1),(101,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(105,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{2,6,7}:{(70,1),(71,1),(107,1),(113,1)}
        90:{3,5,7}:{(71,1),(72,1),(73,1),(107,1),(108,1),(136,1)}
        91:{4,6}:{(72,1),(108,1),(109,1)}
        92:{3,4,7}:{(73,1),(74,1),(76,1),(108,1),(110,1)}
        93:{3,5}:{(74,1),(77,1),(109,1)}
        94:{3,4,6}:{(75,1),(78,1),(111,1),(112,1)}
        95:{2,5,7}:{(76,1),(77,1),(104,1),(110,1),(113,1)}
        96:{2,5,6}:{(77,1),(78,1),(105,1),(111,1),(113,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(114,1)}
        98:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(141,1),(142,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,4,7}:{(81,1),(82,1),(85,1),(115,1),(118,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(119,1),(120,1),(141,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,7}:{(85,1),(86,1),(95,1),(118,1),(121,1)}
       105:{1,5,6}:{(86,1),(87,1),(96,1),(119,1),(121,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(122,1)}
       107:{3,6,7}:{(89,1),(90,1),(123,1),(126,1)}
       108:{4,7}:{(90,1),(91,1)}
       109:{4,5}:{(91,1),(93,1)}
       110:{3,5,7}:{(92,1),(93,1),(95,1),(124,1),(126,1)}
       111:{3,5,6}:{(93,1),(94,1),(96,1),(125,1),(126,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(127,1)}
       113:{2,6}:{(95,1),(121,1),(126,1)}
       114:{2,5,7}:{(96,1),(97,1),(122,1),(127,1),(128,1)}
       115:{3,4,7}:{(98,1),(100,1),(130,1),(132,1),(148,1)}
       116:{3,5}:{(98,1),(101,1),(129,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,7}:{(100,1),(101,1),(104,1),(130,1),(133,1)}
       119:{2,5,6}:{(101,1),(102,1),(105,1),(131,1),(133,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(134,1),(148,1)}
       121:{1,6}:{(104,1),(113,1),(133,1)}
       122:{1,5,7}:{(105,1),(106,1),(114,1),(134,1),(135,1)}
       123:{4,6,7}:{(107,1),(108,1),(136,1),(137,1)}
       124:{4,5,7}:{(108,1),(109,1),(110,1),(136,1),(137,1)}
       125:{4,5,6}:{(109,1),(111,1),(137,1),(138,1)}
       126:{3,6}:{(110,1),(113,1),(137,1)}
       127:{3,5,7}:{(111,1),(112,1),(114,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(116,1),(141,1)}
       130:{3,5,7}:{(115,1),(116,1),(118,1),(140,1),(142,1)}
       131:{3,5,6}:{(116,1),(117,1),(119,1),(141,1),(142,1),(143,1),(151,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,6}:{(118,1),(121,1),(142,1)}
       134:{2,5,7}:{(119,1),(120,1),(122,1),(143,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{5,7}:{(123,1),(145,1)}
       137:{4,6}:{(124,1),(126,1),(145,1)}
       138:{4,5,7}:{(125,1),(127,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(146,1)}
       140:{4,5,7}:{(129,1),(130,1),(147,1),(148,1),(153,1)}
       141:{4,6}:{(129,1),(131,1),(148,1)}
       142:{3,6}:{(130,1),(133,1),(147,1)}
       143:{3,5,7}:{(131,1),(132,1),(134,1),(148,1),(149,1),(153,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{5,6}:{(136,1),(137,1)}
       146:{4,6,7}:{(137,1),(138,1),(139,1),(150,1)}
       147:{4,6}:{(140,1),(142,1),(151,1)}
       148:{4,7}:{(141,1),(143,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{5,6}:{(147,1),(153,1)}
       152:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 532 :   0:{3,4,5,7}:{(1,1),(2,1),(14,1),(62,1),(101,1),(173,1),(274,1),(370,1),(376,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(6,1),(7,1),(28,1),(38,1),(67,1),(130,1),(226,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(412,1),(418,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(67,1),(84,1),(130,1),(239,1),(328,1),(336,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(376,1),(384,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1),(47,1),(101,1),(109,1)}
         6:{1,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(49,1),(61,1),(95,1),(100,1),(182,1)}
         7:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1)}
         8:{3,5,6}:{(2,1),(14,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(51,1),(56,1),(95,1),(100,1),(187,1),(294,1),(385,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(176,1),(193,1),(210,1),(219,1),(280,1),(288,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(9,1),(23,1),(24,1),(30,1),(37,1),(427,1)}
        12:{2,3,6}:{(4,1),(7,1),(24,1),(418,1),(426,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(22,1),(27,1),(28,1),(67,1)}
        14:{3,5,7}:{(5,1),(8,1),(28,1),(29,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(30,1),(31,1),(68,1),(76,1),(91,1),(140,1),(143,1),(151,1),(156,1)}
        16:{1,4,6}:{(6,1),(7,1),(24,1),(31,1),(32,1)}
        17:{2,5,6}:{(7,1),(8,1),(28,1),(32,1),(226,1)}
        18:{4,5,6}:{(8,1),(29,1),(325,1),(412,1)}
        19:{2,4,7}:{(9,1),(23,1),(35,1),(36,1),(347,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(24,1),(36,1),(37,1),(71,1),(80,1),(86,1),(135,1),(145,1),(165,1),(170,1),(245,1),(270,1),(341,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(226,1),(331,1),(340,1)}
        22:{2,3,6,7}:{(12,1),(13,1),(40,1),(41,1),(109,1),(197,1)}
        23:{2,5,7}:{(11,1),(19,1),(43,1),(60,1)}
        24:{1,3,6}:{(11,1),(12,1),(16,1),(43,1),(52,1),(464,1)}
        25:{2,3,5,6}:{(12,1),(17,1),(21,1),(41,1),(44,1),(45,1),(55,1),(118,1),(193,1)}
        26:{3,5,6,7}:{(14,1),(46,1),(47,1),(109,1),(369,1),(473,1)}
        27:{1,4,6,7}:{(13,1),(16,1),(40,1),(48,1),(49,1),(100,1)}
        28:{2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        29:{4,5,7}:{(14,1),(18,1),(47,1)}
        30:{3,5,7}:{(15,1),(51,1),(52,1),(115,1),(128,1),(187,1)}
        31:{2,4,6}:{(15,1),(16,1),(43,1),(52,1),(53,1),(116,1)}
        32:{1,5,6}:{(16,1),(17,1),(49,1),(53,1),(182,1)}
        33:{2,4,5,6}:{(17,1),(18,1),(45,1),(50,1),(54,1),(55,1),(118,1),(279,1),(310,1),(375,1),(472,1),(519,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(95,1),(119,1),(385,1),(386,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(187,1)}
        36:{2,4,6}:{(19,1),(20,1),(43,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(115,1),(128,1),(182,1),(389,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(23,1),(34,1),(63,1),(64,1),(87,1),(160,1),(427,1)}
        40:{1,3,6,7}:{(22,1),(24,1),(27,1),(65,1),(66,1),(75,1),(249,1)}
        41:{2,3,5,7}:{(22,1),(25,1),(28,1),(66,1),(67,1),(78,1),(153,1),(239,1)}
        42:{2,3,5,7}:{(23,1),(30,1),(35,1),(63,1),(68,1),(69,1),(90,1),(143,1)}
        43:{2,6}:{(23,1),(24,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(32,1),(37,1),(66,1),(70,1),(71,1),(81,1),(145,1),(159,1),(245,1)}
        45:{2,4,6}:{(25,1),(38,1),(67,1),(71,1),(72,1)}
        46:{2,5,6,7}:{(26,1),(28,1),(73,1),(74,1),(326,1),(438,1)}
        47:{4,6,7}:{(26,1),(29,1),(412,1),(500,1)}
        48:{2,4,6,7}:{(27,1),(31,1),(65,1),(75,1),(76,1),(140,1),(151,1)}
        49:{1,5,7}:{(27,1),(28,1),(32,1),(76,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(33,1),(67,1),(74,1),(77,1),(78,1),(153,1),(357,1),(438,1),(500,1)}
        51:{3,4,7}:{(30,1),(68,1),(80,1),(151,1),(170,1)}
        52:{3,6}:{(30,1),(31,1)}
        53:{2,5,6}:{(31,1),(32,1),(76,1),(81,1),(143,1)}
        54:{1,4,5,6}:{(32,1),(33,1),(71,1),(77,1),(82,1),(83,1),(159,1),(233,1),(257,1),(334,1),(437,1)}
        55:{3,5,6}:{(33,1),(72,1),(78,1),(331,1),(359,1),(418,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(135,1),(161,1),(165,1),(341,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(68,1),(85,1),(88,1),(89,1),(238,1),(268,1),(336,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(145,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(71,1),(91,1),(156,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(331,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(42,1),(56,1),(93,1),(95,1),(96,1),(123,1),(182,1)}
        64:{1,2,6}:{(39,1),(43,1),(96,1),(208,1),(464,1)}
        65:{2,6,7}:{(40,1),(43,1),(99,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(44,1),(49,1),(99,1),(100,1),(111,1),(187,1),(202,1),(294,1)}
        67:{2,4,7}:{(41,1),(45,1),(100,1),(101,1)}
        68:{2,4,7}:{(42,1),(51,1),(95,1),(103,1),(127,1)}
        69:{2,3,6}:{(42,1),(43,1),(52,1),(96,1),(103,1)}
        70:{2,5,6}:{(43,1),(44,1),(60,1),(99,1),(105,1),(299,1)}
        71:{1,4,6}:{(44,1),(45,1),(61,1),(100,1),(105,1),(116,1)}
        72:{3,4,6}:{(45,1),(55,1),(62,1),(101,1),(519,1)}
        73:{1,5,6,7}:{(46,1),(49,1),(107,1),(108,1),(281,1),(398,1)}
        74:{2,4,6,7}:{(46,1),(47,1),(50,1),(108,1),(109,1),(197,1),(375,1)}
        75:{3,6,7}:{(48,1),(52,1),(111,1),(187,1)}
        76:{2,5,7}:{(48,1),(49,1),(53,1),(111,1)}
        77:{1,4,5,7}:{(49,1),(50,1),(54,1),(100,1),(108,1),(112,1),(113,1),(202,1),(307,1),(398,1)}
        78:{3,5,7}:{(50,1),(55,1),(101,1),(109,1),(402,1)}
        79:{3,4,5,7}:{(51,1),(102,1),(114,1),(115,1),(199,1),(203,1),(218,1),(292,1),(320,1)}
        80:{3,4,6}:{(51,1),(52,1),(103,1),(115,1),(116,1)}
        81:{3,5,6}:{(52,1),(53,1),(111,1),(115,1),(116,1)}
        82:{2,4,5,6}:{(53,1),(54,1),(105,1),(112,1),(116,1),(117,1),(118,1),(191,1),(206,1),(291,1),(300,1),(397,1)}
        83:{1,3,5,6}:{(54,1),(55,1),(106,1),(113,1),(117,1),(118,1),(287,1),(383,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(95,1),(119,1),(121,1),(122,1),(173,1),(315,1),(385,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(182,1),(209,1),(389,1)}
        88:{2,3,5,7}:{(58,1),(102,1),(121,1),(125,1),(126,1),(292,1),(384,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(103,1),(122,1),(125,1),(126,1),(127,1),(192,1),(217,1),(288,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(105,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(106,1),(128,1),(129,1),(205,1),(214,1),(220,1),(287,1),(309,1),(403,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(226,1)}
        94:{1,2,6,7}:{(64,1),(65,1),(132,1),(133,1),(249,1),(259,1),(354,1),(426,1),(493,1),(494,1),(529,1)}
        95:{1,4,7}:{(63,1),(68,1),(130,1),(135,1),(165,1)}
        96:{1,3,6}:{(63,1),(64,1),(69,1),(131,1),(135,1)}
        97:{1,2,5,6}:{(64,1),(70,1),(87,1),(133,1),(136,1),(137,1),(159,1),(258,1),(260,1),(340,1),(342,1),(426,1),(430,1),(431,1),(491,1),(494,1)}
        98:{2,3,6,7}:{(65,1),(69,1),(75,1),(132,1),(138,1),(139,1),(344,1),(426,1),(529,1),(530,1),(545,1)}
        99:{2,5,7}:{(65,1),(66,1),(70,1),(140,1),(347,1)}
       100:{1,4,7}:{(66,1),(67,1),(71,1),(140,1),(151,1)}
       101:{3,4,7}:{(67,1),(72,1),(78,1),(500,1)}
       102:{2,4,5,7}:{(68,1),(79,1),(88,1),(134,1),(142,1),(143,1),(169,1),(241,1),(268,1)}
       103:{2,4,6}:{(68,1),(69,1),(80,1),(135,1),(143,1)}
       104:{2,3,5,6}:{(69,1),(70,1),(81,1),(90,1),(136,1),(139,1),(143,1),(144,1),(145,1),(235,1),(236,1),(243,1),(340,1),(344,1),(426,1),(491,1),(492,1),(527,1),(530,1),(544,1),(547,1)}
       105:{2,4,6}:{(70,1),(71,1),(91,1),(140,1),(145,1)}
       106:{1,3,4,6}:{(71,1),(72,1),(83,1),(92,1),(141,1),(145,1),(146,1),(157,1),(245,1),(257,1),(359,1)}
       107:{2,5,6,7}:{(73,1),(76,1),(147,1),(148,1),(236,1),(352,1)}
       108:{1,4,6,7}:{(73,1),(74,1),(77,1),(148,1),(149,1),(249,1),(334,1)}
       109:{3,6,7}:{(74,1),(78,1),(418,1)}
       110:{3,4,6,7}:{(75,1),(80,1),(138,1),(150,1),(151,1),(238,1),(251,1),(344,1),(545,1),(546,1),(551,1)}
       111:{3,5,7}:{(75,1),(76,1),(81,1),(151,1)}
       112:{2,4,5,7}:{(76,1),(77,1),(82,1),(140,1),(148,1),(151,1),(152,1),(153,1),(246,1),(253,1),(352,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(83,1),(141,1),(149,1),(152,1),(153,1)}
       114:{3,4,6}:{(79,1),(142,1),(155,1),(251,1),(344,1)}
       115:{3,5}:{(80,1),(143,1),(156,1)}
       116:{4,6}:{(81,1),(151,1),(156,1)}
       117:{3,5,6}:{(82,1),(145,1),(152,1),(157,1),(243,1),(344,1)}
       118:{2,5,6}:{(83,1),(146,1),(153,1),(159,1),(340,1),(426,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(134,1),(160,1),(163,1),(164,1),(221,1),(427,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(135,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(341,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(233,1),(261,1),(266,1),(271,1),(340,1),(358,1),(366,1),(367,1),(431,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(142,1),(163,1),(344,1),(426,1)}
       126:{2,3,5}:{(89,1),(143,1),(164,1),(169,1),(243,1),(340,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(145,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(340,1)}
       130:{2,4,7}:{(93,1),(95,1),(173,1),(176,1),(210,1)}
       131:{2,3,6}:{(93,1),(96,1),(176,1),(208,1),(273,1)}
       132:{1,3,6,7}:{(94,1),(96,1),(98,1),(174,1),(178,1),(179,1),(383,1),(464,1),(516,1)}
       133:{1,2,5,7}:{(94,1),(97,1),(99,1),(179,1),(180,1),(202,1),(308,1),(311,1),(384,1),(386,1),(467,1),(514,1)}
       134:{1,4,5,7}:{(95,1),(102,1),(121,1),(175,1),(181,1),(182,1),(213,1),(285,1),(315,1)}
       135:{1,4,6}:{(95,1),(96,1),(103,1),(176,1),(182,1)}
       136:{1,3,5,6}:{(96,1),(97,1),(104,1),(123,1),(177,1),(179,1),(182,1),(183,1),(184,1),(281,1),(287,1),(289,1),(383,1),(389,1),(464,1),(468,1),(516,1),(542,1)}
       137:{1,2,4,6}:{(97,1),(105,1),(124,1),(180,1),(183,1),(184,1),(194,1),(288,1),(299,1),(310,1),(312,1),(409,1),(477,1),(509,1)}
       138:{2,4,6,7}:{(98,1),(103,1),(110,1),(178,1),(185,1),(186,1),(291,1),(541,1)}
       139:{2,3,5,7}:{(98,1),(99,1),(104,1),(111,1),(179,1),(185,1),(186,1),(187,1),(284,1),(292,1),(384,1),(514,1),(540,1),(548,1)}
       140:{2,4,7}:{(99,1),(100,1),(105,1),(187,1)}
       141:{1,3,4,7}:{(100,1),(101,1),(106,1),(113,1),(187,1),(188,1),(200,1),(294,1),(307,1),(402,1)}
       142:{2,4,6}:{(102,1),(114,1),(125,1),(181,1),(190,1)}
       143:{2,5}:{(103,1),(115,1),(182,1)}
       144:{2,4,6}:{(104,1),(116,1),(127,1),(183,1),(186,1),(191,1),(192,1),(515,1),(549,1)}
       145:{3,6}:{(105,1),(128,1),(187,1)}
       146:{2,4,6}:{(106,1),(118,1),(129,1),(188,1),(193,1),(194,1),(299,1)}
       147:{3,5,6,7}:{(107,1),(111,1),(195,1),(196,1),(198,1),(301,1)}
       148:{2,4,6,7}:{(107,1),(108,1),(112,1),(195,1),(196,1),(197,1),(291,1)}
       149:{1,3,6,7}:{(108,1),(109,1),(113,1),(196,1),(197,1),(383,1)}
       150:{3,5,7}:{(110,1),(115,1),(185,1),(198,1),(199,1),(550,1)}
       151:{4,7}:{(111,1),(116,1)}
       152:{3,5,7}:{(112,1),(117,1),(187,1),(196,1),(200,1)}
       153:{2,5,7}:{(113,1),(118,1),(188,1),(197,1),(202,1)}
       154:{3,4,6,7}:{(114,1),(189,1),(203,1),(304,1),(320,1),(391,1)}
       155:{3,5,6}:{(114,1),(115,1),(190,1),(203,1),(204,1)}
       156:{4,5}:{(115,1),(116,1)}
       157:{3,4,6}:{(116,1),(117,1),(200,1),(205,1),(206,1)}
       158:{2,3,5,6}:{(117,1),(118,1),(193,1),(201,1),(206,1),(207,1),(297,1),(392,1),(397,1)}
       159:{1,5,6}:{(118,1),(194,1),(202,1),(389,1),(464,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(181,1),(208,1),(273,1),(464,1)}
       164:{1,3,5}:{(122,1),(126,1),(182,1),(209,1),(213,1),(274,1),(313,1),(389,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(403,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(189,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(190,1),(212,1),(216,1),(217,1),(296,1),(388,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(193,1),(219,1),(220,1),(403,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(389,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(414,1)}
       174:{2,3,6,7}:{(131,1),(132,1),(223,1),(224,1),(259,1),(323,1),(354,1),(418,1),(426,1),(439,1),(497,1)}
       175:{2,4,5,7}:{(130,1),(134,1),(160,1),(221,1),(225,1),(226,1),(261,1),(325,1),(329,1),(360,1),(414,1)}
       176:{2,4,6}:{(130,1),(131,1),(135,1),(222,1),(226,1)}
       177:{2,3,5,6}:{(131,1),(136,1),(162,1),(224,1),(226,1),(227,1),(235,1),(258,1),(260,1),(324,1),(326,1),(331,1),(340,1),(359,1),(361,1),(418,1),(426,1),(436,1),(497,1),(499,1),(533,1)}
       178:{1,4,6,7}:{(132,1),(135,1),(138,1),(223,1),(228,1),(229,1),(334,1),(532,1)}
       179:{1,3,5,7}:{(132,1),(133,1),(136,1),(139,1),(224,1),(228,1),(229,1),(230,1),(337,1),(427,1)}
       180:{1,2,4,7}:{(133,1),(137,1),(140,1),(229,1),(230,1),(240,1),(336,1),(347,1),(357,1),(360,1),(447,1),(502,1),(526,1)}
       181:{1,4,6}:{(134,1),(142,1),(163,1),(225,1),(232,1)}
       182:{1,5}:{(135,1),(143,1),(226,1)}
       183:{1,4,6}:{(136,1),(144,1),(165,1),(227,1),(229,1),(233,1),(496,1)}
       184:{1,3,6}:{(137,1),(145,1),(166,1),(230,1),(235,1),(359,1),(361,1),(527,1)}
       185:{2,5,7}:{(138,1),(143,1),(150,1),(228,1),(236,1),(547,1)}
       186:{2,4,7}:{(139,1),(144,1),(151,1),(229,1),(238,1),(551,1)}
       187:{3,7}:{(140,1),(145,1)}
       188:{2,4,7}:{(141,1),(146,1),(153,1),(239,1),(240,1),(347,1)}
       189:{2,4,6,7}:{(142,1),(154,1),(167,1),(231,1),(241,1),(268,1)}
       190:{2,5,6}:{(142,1),(143,1),(155,1),(232,1),(241,1)}
       191:{2,4,5}:{(143,1),(144,1),(156,1),(233,1),(243,1),(340,1),(547,1),(552,1)}
       192:{3,4,6}:{(144,1),(145,1),(170,1),(238,1),(243,1),(344,1),(527,1),(528,1)}
       193:{2,3,6}:{(145,1),(146,1),(171,1),(239,1),(245,1),(359,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(240,1),(245,1)}
       195:{4,6,7}:{(147,1),(151,1),(246,1),(251,1)}
       196:{3,6,7}:{(148,1),(152,1),(344,1)}
       197:{2,6,7}:{(149,1),(153,1),(249,1),(426,1)}
       198:{3,5,6}:{(150,1),(236,1),(251,1),(344,1)}
       199:{4,5,7}:{(150,1),(151,1),(156,1),(251,1),(551,1),(552,1)}
       200:{3,4,7}:{(151,1),(152,1),(157,1),(253,1)}
       201:{2,3,5,7}:{(152,1),(153,1),(158,1),(239,1),(248,1),(253,1),(254,1),(352,1)}
       202:{1,5,7}:{(153,1),(159,1),(240,1),(249,1)}
       203:{3,5,7}:{(154,1),(155,1),(241,1),(255,1)}
       204:{4,5,6}:{(155,1),(156,1),(251,1),(255,1)}
       205:{3,4,5}:{(156,1),(157,1),(243,1),(256,1),(528,1)}
       206:{2,4,6}:{(157,1),(158,1),(253,1),(256,1),(257,1)}
       207:{1,3,5,6}:{(158,1),(159,1),(245,1),(254,1),(257,1),(258,1),(349,1),(359,1),(433,1),(437,1),(499,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(231,1),(259,1),(263,1),(323,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(232,1),(260,1),(263,1),(264,1),(324,1),(361,1),(430,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(442,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(340,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(241,1),(263,1),(268,1),(348,1),(429,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(243,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(442,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(245,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(175,1),(273,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(176,1),(273,1),(274,1),(372,1)}
       223:{2,4,6,7}:{(174,1),(176,1),(178,1),(272,1),(275,1),(276,1),(375,1),(518,1)}
       224:{2,3,5,7}:{(174,1),(177,1),(179,1),(275,1),(276,1),(284,1),(308,1),(311,1),(371,1),(376,1),(384,1),(402,1),(404,1),(473,1)}
       225:{2,4,6}:{(175,1),(181,1),(208,1),(273,1),(278,1),(372,1)}
       226:{2,5}:{(176,1),(182,1),(274,1)}
       227:{2,4,6}:{(177,1),(183,1),(210,1),(276,1),(279,1),(280,1),(372,1),(471,1),(519,1)}
       228:{1,5,7}:{(178,1),(182,1),(185,1),(275,1),(281,1),(542,1)}
       229:{1,4,7}:{(179,1),(183,1),(186,1),(276,1)}
       230:{1,3,7}:{(180,1),(184,1),(187,1),(284,1),(402,1),(404,1),(540,1)}
       231:{1,4,6,7}:{(181,1),(189,1),(211,1),(277,1),(285,1),(315,1)}
       232:{1,5,6}:{(181,1),(182,1),(190,1),(278,1),(285,1)}
       233:{1,4,5}:{(182,1),(183,1),(191,1),(279,1),(287,1),(389,1),(542,1)}
       234:{1,3,4,6}:{(183,1),(184,1),(192,1),(214,1),(280,1),(283,1),(287,1),(288,1),(383,1)}
       235:{2,3,6}:{(184,1),(215,1),(284,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,6}:{(185,1),(198,1),(281,1),(291,1)}
       237:{2,4,5,7}:{(185,1),(186,1),(191,1),(199,1),(282,1),(291,1),(292,1),(384,1)}
       238:{3,4,7}:{(186,1),(187,1),(192,1),(292,1),(540,1)}
       239:{2,3,7}:{(187,1),(188,1),(193,1),(294,1),(402,1)}
       240:{1,4,7}:{(188,1),(194,1),(202,1),(294,1)}
       241:{2,5,7}:{(189,1),(190,1),(203,1),(285,1)}
       242:{2,4,5,6}:{(190,1),(191,1),(204,1),(217,1),(286,1),(291,1),(295,1),(296,1),(388,1),(509,1),(536,1),(549,1)}
       243:{3,5}:{(191,1),(192,1)}
       244:{2,3,4,6}:{(192,1),(193,1),(206,1),(219,1),(288,1),(293,1),(297,1),(298,1),(392,1),(462,1),(515,1),(541,1)}
       245:{1,3,6}:{(193,1),(194,1),(220,1),(294,1),(299,1)}
       246:{4,5,7}:{(195,1),(300,1),(301,1)}
       247:{3,4,6,7}:{(195,1),(196,1),(200,1),(301,1),(302,1),(305,1)}
       248:{2,3,6,7}:{(196,1),(197,1),(201,1),(302,1),(303,1),(392,1)}
       249:{1,6,7}:{(197,1),(202,1),(464,1)}
       250:{3,5,6,7}:{(198,1),(203,1),(290,1),(304,1),(391,1),(548,1)}
       251:{4,6}:{(198,1),(199,1)}
       252:{3,4,5,7}:{(199,1),(200,1),(205,1),(292,1),(301,1),(305,1),(306,1),(539,1),(550,1)}
       253:{2,4,7}:{(200,1),(201,1),(206,1),(307,1)}
       254:{1,3,5,7}:{(201,1),(202,1),(207,1),(294,1),(303,1),(307,1),(308,1),(398,1),(402,1),(473,1)}
       255:{4,5,7}:{(203,1),(204,1),(304,1)}
       256:{2,4,5}:{(205,1),(206,1),(297,1),(309,1),(515,1)}
       257:{1,4,6}:{(206,1),(207,1),(307,1),(309,1),(310,1),(519,1)}
       258:{2,5,6}:{(207,1),(299,1),(308,1),(310,1),(395,1),(469,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(285,1),(311,1),(315,1),(371,1),(404,1),(467,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(372,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(287,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(389,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(296,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,4,6,7}:{(222,1),(223,1),(322,1),(323,1),(328,1),(412,1),(414,1),(418,1),(439,1),(500,1),(501,1)}
       273:{3,6}:{(221,1),(225,1)}
       274:{3,5}:{(222,1),(226,1),(325,1)}
       275:{2,5,7}:{(223,1),(226,1),(228,1),(322,1),(326,1),(533,1)}
       276:{2,4,7}:{(224,1),(227,1),(229,1),(328,1),(414,1),(500,1)}
       277:{2,4,6,7}:{(225,1),(231,1),(259,1),(323,1),(329,1),(360,1),(414,1)}
       278:{2,5,6}:{(225,1),(226,1),(232,1),(324,1),(329,1)}
       279:{2,4,5}:{(226,1),(227,1),(233,1),(325,1),(331,1),(340,1),(533,1),(534,1)}
       280:{3,4,6}:{(227,1),(262,1),(328,1),(331,1),(359,1),(361,1),(418,1),(442,1)}
       281:{1,5,6}:{(228,1),(236,1),(326,1),(334,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(233,1),(237,1),(327,1),(334,1),(335,1),(427,1)}
       283:{1,3,4,7}:{(229,1),(230,1),(234,1),(238,1),(328,1),(335,1),(336,1)}
       284:{2,3,7}:{(230,1),(235,1),(336,1),(337,1),(347,1),(502,1)}
       285:{1,5,7}:{(231,1),(232,1),(241,1),(329,1)}
       286:{1,4,5,6}:{(232,1),(233,1),(242,1),(264,1),(330,1),(334,1),(338,1),(339,1),(430,1),(484,1),(522,1)}
       287:{1,3,5}:{(233,1),(234,1),(243,1),(331,1),(340,1)}
       288:{2,4,6}:{(234,1),(235,1),(266,1),(336,1),(340,1),(341,1),(426,1)}
       289:{1,3,6}:{(235,1),(267,1),(337,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(241,1),(250,1),(333,1),(343,1),(543,1)}
       291:{2,4,6}:{(236,1),(237,1),(251,1),(334,1),(344,1),(426,1)}
       292:{3,5,7}:{(237,1),(238,1),(243,1),(344,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(244,1),(253,1),(336,1),(345,1),(346,1),(489,1),(531,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,4,5,7}:{(241,1),(242,1),(255,1),(268,1),(338,1),(343,1),(348,1),(429,1),(526,1),(543,1),(551,1)}
       296:{3,5,6}:{(242,1),(243,1),(269,1),(344,1),(348,1),(527,1)}
       297:{2,3,5}:{(243,1),(244,1),(256,1),(340,1),(349,1),(547,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(257,1),(270,1),(341,1),(346,1),(349,1),(350,1),(359,1),(432,1),(433,1),(442,1),(496,1),(501,1),(532,1)}
       299:{2,6}:{(245,1),(271,1),(347,1)}
       300:{4,5,6}:{(246,1),(251,1),(351,1),(552,1)}
       301:{3,5,7}:{(246,1),(247,1),(351,1),(352,1)}
       302:{2,4,6,7}:{(247,1),(248,1),(253,1),(352,1),(353,1),(355,1)}
       303:{1,3,6,7}:{(248,1),(249,1),(254,1),(353,1),(354,1),(433,1),(439,1)}
       304:{4,6,7}:{(250,1),(251,1),(255,1),(551,1)}
       305:{3,4,6}:{(251,1),(252,1),(344,1),(351,1),(355,1)}
       306:{2,4,5,7}:{(252,1),(253,1),(256,1),(345,1),(352,1),(355,1),(356,1),(531,1),(547,1)}
       307:{1,4,7}:{(253,1),(254,1),(257,1),(357,1),(500,1)}
       308:{2,5,7}:{(254,1),(258,1),(347,1),(354,1),(357,1)}
       309:{1,4,5}:{(256,1),(257,1),(349,1),(358,1),(496,1),(534,1)}
       310:{2,4,6}:{(257,1),(258,1),(357,1),(358,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(414,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(339,1),(361,1),(364,1),(365,1),(415,1),(444,1),(484,1),(527,1)}
       317:{2,4,5}:{(265,1),(266,1),(340,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(348,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,5,7}:{(272,1),(274,1),(275,1),(369,1),(370,1),(520,1)}
       323:{3,6,7}:{(273,1),(277,1),(371,1),(404,1)}
       324:{3,5,6}:{(273,1),(274,1),(278,1),(371,1),(372,1)}
       325:{4,5}:{(274,1),(372,1)}
       326:{2,5,6}:{(275,1),(281,1),(369,1),(375,1)}
       327:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(370,1),(375,1),(376,1),(384,1)}
       328:{3,4,7}:{(276,1),(280,1),(376,1),(402,1),(404,1)}
       329:{2,5,7}:{(277,1),(278,1),(285,1),(371,1)}
       330:{2,4,5,6}:{(278,1),(279,1),(286,1),(312,1),(372,1),(375,1),(378,1),(379,1),(388,1),(448,1),(453,1),(504,1)}
       331:{3,5}:{(279,1),(280,1)}
       332:{2,3,4,6}:{(280,1),(288,1),(314,1),(377,1),(380,1),(381,1),(396,1),(405,1),(453,1),(456,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(285,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,6}:{(281,1),(282,1),(291,1),(375,1),(383,1),(464,1)}
       335:{1,3,5,7}:{(282,1),(283,1),(287,1),(292,1),(376,1),(383,1),(384,1)}
       336:{2,4,7}:{(283,1),(284,1),(288,1),(384,1),(385,1)}
       337:{1,3,7}:{(284,1),(289,1),(385,1),(386,1)}
       338:{1,4,5,7}:{(285,1),(286,1),(295,1),(315,1),(378,1),(382,1),(387,1),(467,1),(508,1),(535,1)}
       339:{1,3,5,6}:{(286,1),(287,1),(296,1),(316,1),(379,1),(383,1),(387,1),(388,1)}
       340:{2,5}:{(287,1),(288,1),(389,1)}
       341:{1,4,6}:{(288,1),(289,1),(318,1),(385,1),(389,1),(464,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(386,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(295,1),(304,1),(382,1),(391,1),(463,1)}
       344:{3,6}:{(291,1),(292,1)}
       345:{2,3,5,7}:{(292,1),(293,1),(297,1),(306,1),(384,1),(392,1),(393,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(307,1),(385,1),(393,1),(394,1),(402,1),(466,1),(475,1),(517,1)}
       347:{2,7}:{(294,1),(299,1)}
       348:{3,5,7}:{(295,1),(296,1),(320,1),(391,1),(540,1)}
       349:{1,3,5}:{(297,1),(298,1),(309,1),(389,1),(395,1),(403,1),(520,1),(542,1)}
       350:{2,4,6}:{(298,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       351:{3,5,6}:{(300,1),(301,1),(305,1),(397,1),(550,1)}
       352:{2,5,7}:{(301,1),(302,1),(397,1),(398,1)}
       353:{1,4,6,7}:{(302,1),(303,1),(307,1),(398,1),(399,1),(400,1)}
       354:{2,6,7}:{(303,1),(308,1),(469,1)}
       355:{2,4,6}:{(305,1),(306,1),(392,1),(397,1),(400,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(309,1),(393,1),(398,1),(400,1),(401,1),(517,1),(542,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(402,1)}
       358:{2,4,5}:{(309,1),(310,1),(395,1),(403,1),(471,1)}
       359:{3,6}:{(310,1),(402,1),(403,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(387,1),(404,1),(408,1),(452,1),(476,1),(508,1),(540,1)}
       365:{2,4,6}:{(316,1),(317,1),(388,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(389,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,6}:{(322,1),(326,1),(412,1),(418,1)}
       370:{4,5,7}:{(322,1),(325,1),(412,1),(414,1),(500,1),(534,1)}
       371:{3,5,7}:{(323,1),(324,1),(329,1),(414,1)}
       372:{4,6}:{(324,1),(325,1),(414,1)}
       373:{3,4,5}:{(325,1),(331,1),(415,1),(416,1),(442,1)}
       374:{2,5,6,7}:{(326,1),(329,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,6}:{(326,1),(327,1),(334,1),(412,1),(418,1),(426,1)}
       376:{3,5,7}:{(327,1),(328,1),(331,1),(418,1)}
       377:{2,3,4,7}:{(328,1),(332,1),(336,1),(419,1),(420,1),(435,1),(443,1),(483,1),(498,1)}
       378:{2,4,5,7}:{(329,1),(330,1),(338,1),(360,1),(414,1),(417,1),(421,1),(429,1),(478,1),(483,1),(521,1)}
       379:{3,5,6}:{(330,1),(331,1),(361,1),(415,1),(418,1),(421,1)}
       380:{2,3,5}:{(331,1),(332,1),(340,1),(416,1),(423,1),(533,1)}
       381:{1,3,4,6}:{(332,1),(341,1),(363,1),(420,1),(423,1),(424,1),(432,1),(444,1),(484,1),(487,1),(496,1),(527,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(338,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,6}:{(334,1),(335,1),(344,1),(418,1),(426,1)}
       384:{2,5,7}:{(335,1),(336,1),(340,1),(426,1),(427,1)}
       385:{1,4,7}:{(336,1),(337,1),(341,1),(427,1)}
       386:{1,2,7}:{(337,1),(342,1),(347,1),(502,1)}
       387:{1,3,5,7}:{(338,1),(339,1),(348,1),(364,1),(421,1),(425,1),(429,1)}
       388:{2,5,6}:{(339,1),(340,1),(365,1),(426,1),(429,1),(430,1)}
       389:{1,5}:{(340,1),(341,1)}
       390:{1,2,4,6}:{(341,1),(342,1),(350,1),(367,1),(424,1),(428,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       391:{3,6,7}:{(343,1),(344,1),(348,1)}
       392:{2,3,6}:{(344,1),(345,1),(355,1),(426,1),(433,1)}
       393:{1,3,5,7}:{(345,1),(346,1),(349,1),(356,1),(427,1),(433,1),(434,1),(441,1)}
       394:{2,4,7}:{(346,1),(347,1),(350,1),(434,1),(435,1)}
       395:{2,5}:{(349,1),(350,1)}
       396:{2,3,6}:{(350,1),(359,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,5,7}:{(352,1),(353,1),(437,1),(438,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(357,1),(438,1),(439,1),(440,1),(500,1)}
       400:{1,4,6}:{(355,1),(356,1),(433,1),(437,1),(440,1)}
       401:{2,4,5,7}:{(356,1),(357,1),(358,1),(434,1),(438,1),(440,1),(441,1),(498,1),(500,1),(533,1),(534,1)}
       402:{3,7}:{(357,1),(359,1)}
       403:{3,5}:{(358,1),(359,1),(442,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(527,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(429,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(430,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(449,1),(455,1),(503,1)}
       412:{4,6}:{(369,1),(370,1)}
       413:{3,4,5,7}:{(370,1),(373,1),(376,1),(450,1),(451,1),(452,1),(475,1),(503,1),(520,1)}
       414:{4,7}:{(371,1),(372,1)}
       415:{3,4,6}:{(372,1),(373,1),(379,1),(452,1),(453,1)}
       416:{2,4,5}:{(373,1),(380,1),(453,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(378,1),(382,1),(449,1),(455,1),(463,1)}
       418:{3,6}:{(375,1),(376,1)}
       419:{2,3,5,7}:{(376,1),(377,1),(380,1),(384,1),(451,1),(456,1),(457,1)}
       420:{1,3,4,7}:{(377,1),(381,1),(385,1),(457,1),(458,1),(466,1),(476,1),(508,1),(517,1),(539,1),(540,1)}
       421:{3,5,7}:{(378,1),(379,1),(404,1),(452,1),(455,1)}
       422:{2,3,5,6}:{(379,1),(380,1),(388,1),(405,1),(453,1),(456,1),(459,1),(460,1),(504,1)}
       423:{1,3,5}:{(380,1),(381,1),(389,1),(454,1),(461,1),(510,1),(542,1),(550,1)}
       424:{2,4,6}:{(381,1),(407,1),(458,1),(461,1),(462,1),(477,1),(512,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(387,1),(391,1),(455,1),(463,1)}
       426:{2,6}:{(383,1),(384,1),(464,1)}
       427:{1,5,7}:{(384,1),(385,1),(389,1),(464,1)}
       428:{1,2,4,7}:{(385,1),(386,1),(390,1),(394,1),(458,1),(465,1),(466,1),(517,1)}
       429:{2,5,7}:{(387,1),(388,1),(408,1),(463,1),(467,1)}
       430:{1,5,6}:{(388,1),(389,1),(409,1),(464,1),(467,1)}
       431:{1,2,5}:{(389,1),(390,1),(395,1),(461,1),(468,1),(542,1)}
       432:{1,3,6}:{(390,1),(396,1),(410,1),(462,1),(466,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(400,1),(464,1),(469,1),(474,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,7}:{(394,1),(396,1),(402,1),(466,1)}
       436:{2,3,5}:{(395,1),(396,1),(403,1),(468,1),(471,1)}
       437:{1,5,6}:{(397,1),(398,1),(400,1),(472,1),(542,1)}
       438:{2,5,7}:{(398,1),(399,1),(472,1),(473,1)}
       439:{3,6,7}:{(399,1),(402,1),(473,1),(474,1)}
       440:{2,4,6}:{(400,1),(401,1),(469,1),(472,1),(474,1),(519,1)}
       441:{3,5,7}:{(401,1),(402,1),(403,1),(474,1),(475,1),(520,1)}
       442:{3,4}:{(403,1),(471,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(540,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(467,1),(476,1)}
       448:{4,5,6}:{(412,1),(478,1),(479,1),(534,1)}
       449:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       450:{3,4,6}:{(412,1),(413,1),(418,1),(479,1),(481,1)}
       451:{2,4,5,7}:{(413,1),(416,1),(419,1),(481,1),(482,1),(483,1),(498,1),(521,1),(533,1)}
       452:{3,4,7}:{(414,1),(415,1),(421,1),(483,1)}
       453:{2,4,6}:{(415,1),(416,1),(422,1),(483,1),(484,1)}
       454:{1,4,5}:{(416,1),(423,1),(484,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(421,1)}
       456:{2,3,6}:{(418,1),(419,1),(426,1),(481,1),(487,1)}
       457:{1,3,5,7}:{(419,1),(420,1),(423,1),(427,1),(482,1),(487,1),(488,1),(525,1)}
       458:{2,4,7}:{(420,1),(424,1),(488,1),(489,1),(502,1)}
       459:{2,3,5,7}:{(421,1),(422,1),(429,1),(443,1),(483,1),(486,1),(490,1),(521,1)}
       460:{1,3,5,6}:{(422,1),(423,1),(430,1),(444,1),(484,1),(487,1),(490,1),(491,1),(522,1),(527,1),(544,1)}
       461:{2,5}:{(423,1),(424,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(489,1),(492,1),(527,1)}
       463:{2,6,7}:{(425,1),(426,1),(429,1),(493,1)}
       464:{1,6}:{(426,1),(427,1)}
       465:{1,2,5,7}:{(427,1),(428,1),(431,1),(434,1),(488,1),(494,1),(495,1)}
       466:{1,3,7}:{(428,1),(432,1),(435,1),(489,1)}
       467:{1,5,7}:{(429,1),(430,1),(447,1),(493,1)}
       468:{1,3,5}:{(431,1),(432,1),(436,1),(492,1),(496,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(441,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(436,1),(442,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(440,1),(499,1),(533,1)}
       473:{3,5,7}:{(438,1),(439,1),(499,1),(500,1)}
       474:{3,6}:{(440,1),(441,1)}
       475:{3,4,7}:{(441,1),(442,1),(498,1),(500,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(449,1),(503,1)}
       479:{3,5,6}:{(448,1),(450,1),(503,1),(504,1),(520,1)}
       480:{3,4,6,7}:{(449,1),(450,1),(452,1),(455,1),(503,1),(505,1)}
       481:{2,4,6}:{(450,1),(451,1),(456,1),(504,1),(506,1)}
       482:{1,4,5,7}:{(451,1),(454,1),(457,1),(506,1),(507,1),(508,1),(517,1),(535,1),(542,1)}
       483:{2,4,7}:{(452,1),(453,1),(459,1),(508,1)}
       484:{1,4,6}:{(453,1),(454,1),(460,1),(508,1),(509,1),(549,1)}
       485:{2,4,5}:{(454,1),(461,1),(509,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(459,1),(463,1),(505,1),(511,1)}
       487:{1,3,6}:{(456,1),(457,1),(464,1),(506,1),(512,1),(538,1)}
       488:{2,5,7}:{(457,1),(458,1),(461,1),(512,1)}
       489:{2,3,7}:{(458,1),(462,1),(466,1),(540,1)}
       490:{1,3,5,7}:{(459,1),(460,1),(467,1),(476,1),(508,1),(511,1),(514,1),(535,1),(540,1),(548,1)}
       491:{2,5,6}:{(460,1),(461,1),(477,1),(509,1),(512,1),(514,1)}
       492:{2,3,5}:{(461,1),(462,1),(468,1),(510,1),(515,1)}
       493:{1,6,7}:{(463,1),(464,1),(467,1)}
       494:{1,2,6}:{(464,1),(465,1),(469,1),(512,1),(516,1)}
       495:{1,3,5,7}:{(465,1),(466,1),(468,1),(470,1),(513,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(468,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(474,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(475,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(474,1),(519,1),(520,1)}
       500:{4,7}:{(473,1),(519,1)}
       501:{3,4,6}:{(474,1),(475,1),(518,1),(519,1),(520,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,5,6}:{(479,1),(481,1),(521,1),(522,1),(533,1)}
       505:{2,4,6,7}:{(480,1),(481,1),(483,1),(486,1),(521,1),(523,1)}
       506:{1,4,6}:{(481,1),(482,1),(487,1),(522,1),(524,1)}
       507:{2,4,5,7}:{(482,1),(485,1),(488,1),(524,1),(525,1),(526,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       508:{1,4,7}:{(483,1),(484,1),(490,1),(526,1),(551,1)}
       509:{2,4,6}:{(484,1),(485,1),(491,1),(526,1),(527,1)}
       510:{3,5}:{(485,1),(527,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(490,1),(493,1),(523,1),(529,1),(545,1)}
       512:{2,6}:{(487,1),(488,1)}
       513:{2,3,5,7}:{(488,1),(489,1),(492,1),(495,1),(525,1),(530,1),(531,1),(547,1)}
       514:{2,5,7}:{(490,1),(491,1),(502,1),(526,1),(529,1)}
       515:{2,4}:{(492,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(501,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(500,1),(534,1)}
       520:{3,5}:{(501,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(505,1),(535,1)}
       522:{1,5,6}:{(504,1),(506,1),(535,1),(536,1),(542,1)}
       523:{1,4,6,7}:{(505,1),(506,1),(508,1),(511,1),(535,1),(537,1)}
       524:{2,4,6}:{(506,1),(507,1),(512,1),(536,1),(538,1),(549,1)}
       525:{3,5,7}:{(507,1),(510,1),(538,1),(539,1),(540,1),(550,1)}
       526:{2,4,7}:{(508,1),(509,1),(514,1),(540,1)}
       527:{3,6}:{(509,1),(510,1),(540,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(514,1)}
       530:{2,3,6}:{(512,1),(513,1),(516,1),(538,1),(541,1)}
       531:{2,4,7}:{(513,1),(515,1),(517,1),(539,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(523,1),(543,1)}
       536:{2,5,6}:{(522,1),(524,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(523,1),(524,1),(526,1),(529,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(524,1),(525,1)}
       539:{3,4,7}:{(525,1),(528,1),(531,1),(546,1),(551,1)}
       540:{3,7}:{(526,1),(527,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 533 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(125,1)}
         1:{4,5,6}:{(7,1),(8,1),(135,1),(148,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(76,1),(112,1)}
         4:{2,3,4}:{(5,1),(12,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(13,1),(14,1)}
         6:{5,6,7}:{(15,1),(151,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{3,5,6}:{(1,1),(2,1),(16,1),(17,1),(125,1),(145,1)}
         9:{3,4,7}:{(2,1),(16,1),(18,1)}
        10:{2,4,6}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1)}
        11:{1,4,5}:{(3,1),(14,1),(19,1),(20,1),(62,1),(97,1)}
        12:{1,3,4}:{(4,1),(14,1),(21,1),(42,1),(43,1),(62,1)}
        13:{2,3,6}:{(5,1),(10,1),(22,1),(23,1)}
        14:{1,3,5}:{(5,1),(11,1),(12,1),(23,1),(24,1),(30,1)}
        15:{4,6,7}:{(6,1),(7,1),(25,1),(148,1)}
        16:{3,5,7}:{(7,1),(8,1),(9,1),(25,1),(26,1)}
        17:{2,5,6}:{(8,1),(10,1),(26,1),(27,1),(112,1),(139,1)}
        18:{2,4,7}:{(9,1),(10,1),(22,1),(26,1),(28,1)}
        19:{1,4,6}:{(10,1),(11,1),(23,1),(27,1),(28,1),(29,1)}
        20:{2,4,5}:{(11,1),(24,1),(29,1),(30,1),(49,1),(81,1),(85,1)}
        21:{2,4}:{(12,1),(24,1),(32,1)}
        22:{2,3,7}:{(13,1),(18,1),(34,1)}
        23:{1,3,6}:{(13,1),(14,1),(19,1),(34,1),(35,1),(41,1)}
        24:{2,5}:{(14,1),(21,1),(35,1)}
        25:{3,6,7}:{(15,1),(16,1),(37,1),(145,1)}
        26:{2,5,7}:{(16,1),(17,1),(18,1),(37,1),(38,1)}
        27:{1,5,6}:{(17,1),(19,1),(38,1),(39,1),(97,1),(130,1)}
        28:{1,4,7}:{(18,1),(19,1),(34,1),(38,1),(40,1)}
        29:{2,4,6}:{(19,1),(20,1),(35,1),(39,1),(40,1),(41,1),(68,1)}
        30:{3,5}:{(20,1),(41,1),(42,1)}
        31:{1,2,4}:{(21,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(21,1),(43,1)}
        33:{1,2,5}:{(24,1),(31,1),(45,1),(46,1),(89,1)}
        34:{1,3,7}:{(22,1),(23,1),(28,1),(47,1),(53,1)}
        35:{2,6}:{(23,1),(24,1),(47,1)}
        36:{2,3,5}:{(24,1),(30,1),(32,1),(46,1),(48,1),(49,1),(81,1)}
        37:{2,6,7}:{(25,1),(26,1),(50,1),(139,1)}
        38:{1,5,7}:{(26,1),(27,1),(28,1),(50,1),(51,1)}
        39:{2,5,6}:{(27,1),(29,1),(51,1),(52,1),(81,1),(117,1)}
        40:{2,4,7}:{(28,1),(29,1),(47,1),(51,1),(53,1),(84,1)}
        41:{3,6}:{(29,1),(30,1),(53,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(35,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(61,1),(62,1),(97,1)}
        47:{2,7}:{(34,1),(35,1)}
        48:{2,3,6}:{(35,1),(36,1),(41,1),(61,1),(63,1),(64,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{1,6,7}:{(37,1),(38,1),(66,1),(130,1)}
        51:{2,5,7}:{(38,1),(39,1),(40,1),(66,1),(67,1)}
        52:{3,5,6}:{(39,1),(41,1),(67,1),(68,1),(70,1),(105,1),(133,1)}
        53:{3,7}:{(40,1),(41,1)}
        54:{3,4,6}:{(41,1),(42,1),(64,1),(68,1),(69,1),(70,1),(105,1)}
        55:{3,4,5}:{(42,1),(65,1),(70,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(112,1)}
        60:{1,2,7}:{(45,1),(47,1),(77,1),(123,1)}
        61:{1,3,6}:{(45,1),(46,1),(48,1),(75,1),(77,1),(78,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,3,7}:{(47,1),(48,1),(53,1),(77,1),(80,1)}
        64:{2,4,6}:{(48,1),(49,1),(54,1),(78,1),(80,1),(81,1),(117,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(81,1),(82,1)}
        66:{2,6,7}:{(50,1),(51,1),(83,1),(117,1)}
        67:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(119,1)}
        68:{4,6}:{(52,1),(84,1),(85,1)}
        69:{3,4,7}:{(53,1),(54,1),(80,1),(84,1),(86,1)}
        70:{3,5}:{(54,1),(81,1),(85,1)}
        71:{3,4,6}:{(55,1),(82,1),(87,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(61,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,3,7}:{(60,1),(61,1),(63,1),(93,1),(96,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(94,1),(96,1),(97,1),(130,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(97,1),(98,1)}
        80:{2,4,7}:{(63,1),(64,1),(69,1),(96,1),(99,1)}
        81:{2,5}:{(64,1),(70,1),(97,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(100,1),(101,1)}
        83:{3,6,7}:{(66,1),(67,1),(102,1),(105,1)}
        84:{4,7}:{(67,1),(68,1)}
        85:{4,5}:{(68,1),(70,1)}
        86:{3,5,7}:{(69,1),(70,1),(99,1),(103,1),(105,1)}
        87:{3,5,6}:{(70,1),(71,1),(100,1),(104,1),(105,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,3,7}:{(75,1),(77,1),(111,1),(123,1),(138,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(109,1),(111,1),(112,1),(139,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(112,1),(113,1),(135,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(114,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(115,1),(116,1)}
        99:{2,5,7}:{(80,1),(81,1),(86,1),(114,1),(117,1)}
       100:{2,5,6}:{(81,1),(82,1),(87,1),(115,1),(117,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(118,1)}
       102:{4,6,7}:{(83,1),(84,1),(119,1),(120,1)}
       103:{4,5,7}:{(84,1),(85,1),(86,1),(119,1),(120,1)}
       104:{4,5,6}:{(85,1),(87,1),(120,1),(121,1)}
       105:{3,6}:{(86,1),(117,1),(120,1)}
       106:{3,5,7}:{(87,1),(88,1),(118,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(144,1),(145,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(124,1),(127,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(128,1),(129,1),(144,1)}
       114:{1,5,7}:{(96,1),(97,1),(99,1),(127,1),(130,1)}
       115:{1,5,6}:{(97,1),(98,1),(100,1),(128,1),(130,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(131,1)}
       117:{2,6}:{(99,1),(105,1),(130,1)}
       118:{2,5,7}:{(100,1),(101,1),(106,1),(131,1),(132,1)}
       119:{5,7}:{(102,1),(133,1)}
       120:{4,6}:{(103,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(106,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,4,7}:{(109,1),(111,1),(136,1),(138,1),(149,1)}
       125:{3,5}:{(109,1),(112,1),(135,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,7}:{(111,1),(112,1),(114,1),(136,1),(139,1)}
       128:{2,5,6}:{(112,1),(113,1),(115,1),(137,1),(139,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(140,1),(149,1)}
       130:{1,6}:{(114,1),(117,1),(139,1)}
       131:{1,5,7}:{(115,1),(116,1),(118,1),(140,1),(141,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{5,6}:{(119,1),(120,1)}
       134:{4,6,7}:{(120,1),(121,1),(122,1),(142,1)}
       135:{4,5}:{(125,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(127,1),(143,1),(145,1)}
       137:{3,5,6}:{(125,1),(126,1),(128,1),(144,1),(145,1),(146,1),(151,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,6}:{(127,1),(130,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(131,1),(146,1),(147,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(135,1),(136,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(135,1),(137,1),(149,1)}
       145:{3,6}:{(136,1),(139,1),(148,1)}
       146:{3,5,7}:{(137,1),(138,1),(140,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 534 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(128,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(108,1),(128,1)}
         5:{3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
         6:{4,6,7}:{(1,1),(2,1),(13,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
         8:{2,5,6}:{(3,1),(12,1),(14,1),(15,1),(116,1),(139,1)}
         9:{2,4,5}:{(4,1),(12,1),(16,1),(17,1),(91,1),(116,1)}
        10:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        11:{3,4,7}:{(5,1),(7,1),(20,1)}
        12:{2,4,6}:{(5,1),(8,1),(9,1),(19,1),(20,1),(21,1)}
        13:{3,6,7}:{(6,1),(7,1),(22,1),(145,1)}
        14:{2,5,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{1,5,6}:{(8,1),(21,1),(23,1),(24,1),(101,1),(131,1)}
        16:{2,3,5}:{(9,1),(10,1),(19,1),(25,1)}
        17:{1,4,5}:{(9,1),(21,1),(25,1),(26,1),(75,1),(101,1)}
        18:{1,3,4}:{(10,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(12,1),(16,1),(28,1),(29,1)}
        20:{2,4,7}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
        21:{1,4,6}:{(12,1),(15,1),(17,1),(29,1),(30,1),(31,1)}
        22:{2,6,7}:{(13,1),(14,1),(32,1),(139,1)}
        23:{1,5,7}:{(14,1),(15,1),(30,1),(32,1),(33,1)}
        24:{2,5,6}:{(15,1),(31,1),(33,1),(34,1),(85,1),(119,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(29,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(31,1),(35,1),(36,1),(58,1),(60,1),(85,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{2,3,7}:{(19,1),(20,1),(39,1)}
        29:{1,3,6}:{(19,1),(21,1),(25,1),(39,1),(40,1),(42,1)}
        30:{1,4,7}:{(20,1),(21,1),(23,1),(39,1),(41,1)}
        31:{2,4,6}:{(21,1),(24,1),(26,1),(40,1),(41,1),(42,1),(45,1)}
        32:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        33:{2,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,5,6}:{(24,1),(42,1),(44,1),(45,1),(70,1),(104,1),(106,1)}
        35:{2,5}:{(25,1),(27,1),(40,1)}
        36:{3,5}:{(26,1),(42,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{1,3,7}:{(28,1),(29,1),(30,1),(52,1),(54,1)}
        40:{2,6}:{(29,1),(35,1),(52,1)}
        41:{2,4,7}:{(30,1),(31,1),(33,1),(52,1),(54,1),(57,1)}
        42:{3,6}:{(31,1),(36,1),(54,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(119,1)}
        44:{3,5,7}:{(33,1),(34,1),(54,1),(56,1),(57,1),(88,1)}
        45:{4,6}:{(34,1),(57,1),(58,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(53,1),(59,1),(60,1),(85,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(40,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,7}:{(39,1),(40,1)}
        53:{2,3,6}:{(40,1),(42,1),(47,1),(66,1),(67,1),(68,1)}
        54:{3,7}:{(41,1),(42,1)}
        55:{3,4,6}:{(42,1),(45,1),(48,1),(68,1),(69,1),(70,1),(104,1)}
        56:{3,6,7}:{(43,1),(44,1),(71,1),(104,1)}
        57:{4,7}:{(44,1),(45,1)}
        58:{4,5}:{(45,1),(70,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(66,1),(74,1),(75,1),(101,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(70,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,2,7}:{(51,1),(52,1),(82,1),(126,1)}
        66:{1,3,6}:{(51,1),(53,1),(59,1),(81,1),(82,1),(83,1)}
        67:{2,3,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        68:{2,4,6}:{(53,1),(55,1),(60,1),(83,1),(84,1),(85,1),(119,1)}
        69:{3,4,7}:{(54,1),(55,1),(57,1),(84,1),(86,1)}
        70:{3,5}:{(55,1),(58,1),(85,1)}
        71:{4,6,7}:{(56,1),(57,1),(88,1),(89,1)}
        72:{4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        73:{4,5,6}:{(58,1),(87,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(116,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(85,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(87,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(66,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,3,7}:{(65,1),(66,1),(67,1),(98,1),(100,1)}
        83:{1,4,6}:{(66,1),(68,1),(75,1),(99,1),(100,1),(101,1),(131,1)}
        84:{2,4,7}:{(67,1),(68,1),(69,1),(100,1),(102,1)}
        85:{2,5}:{(68,1),(70,1),(101,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(102,1),(104,1)}
        87:{3,5,6}:{(70,1),(73,1),(77,1),(103,1),(104,1),(105,1)}
        88:{5,7}:{(71,1),(106,1)}
        89:{4,6}:{(72,1),(104,1),(106,1)}
        90:{4,5,7}:{(73,1),(105,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(101,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(103,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(105,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,3,7}:{(81,1),(82,1),(115,1),(126,1),(142,1)}
        99:{2,4,6}:{(81,1),(83,1),(91,1),(114,1),(115,1),(116,1),(139,1)}
       100:{1,4,7}:{(82,1),(83,1),(84,1),(115,1),(117,1)}
       101:{1,5}:{(83,1),(85,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(86,1),(117,1),(119,1)}
       103:{2,5,6}:{(85,1),(87,1),(93,1),(118,1),(119,1),(120,1)}
       104:{3,6}:{(86,1),(89,1),(119,1)}
       105:{3,5,7}:{(87,1),(90,1),(94,1),(120,1),(121,1)}
       106:{5,6}:{(88,1),(89,1)}
       107:{4,6,7}:{(89,1),(90,1),(121,1),(122,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(116,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(118,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(120,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(99,1),(108,1),(127,1),(128,1),(134,1),(144,1),(145,1)}
       115:{2,4,7}:{(98,1),(99,1),(100,1),(127,1),(129,1)}
       116:{2,5}:{(99,1),(101,1),(128,1)}
       117:{1,5,7}:{(100,1),(101,1),(102,1),(129,1),(131,1)}
       118:{1,5,6}:{(101,1),(103,1),(110,1),(130,1),(131,1),(132,1)}
       119:{2,6}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(105,1),(111,1),(132,1),(133,1)}
       121:{3,6,7}:{(104,1),(105,1),(107,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(130,1),(134,1),(135,1),(144,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(132,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,4,7}:{(114,1),(115,1),(137,1),(142,1),(149,1)}
       128:{3,5}:{(114,1),(116,1),(136,1)}
       129:{2,5,7}:{(115,1),(116,1),(117,1),(137,1),(139,1)}
       130:{2,5,6}:{(116,1),(118,1),(124,1),(138,1),(139,1),(140,1)}
       131:{1,6}:{(117,1),(119,1),(139,1)}
       132:{1,5,7}:{(118,1),(120,1),(125,1),(140,1),(141,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(149,1)}
       136:{4,5}:{(128,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(129,1),(143,1),(145,1)}
       138:{3,5,6}:{(128,1),(130,1),(134,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(129,1),(131,1),(145,1)}
       140:{2,5,7}:{(130,1),(132,1),(135,1),(146,1),(147,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 535 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 536 :   0:{3,4,6,7}:{(2,1),(3,1),(15,1),(23,1),(38,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(38,1),(62,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(13,1),(25,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(7,1),(11,1),(12,1),(26,1),(50,1),(74,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(13,1),(29,1),(53,1),(58,1)}
         6:{3,5,6}:{(3,1),(14,1),(15,1),(38,1),(103,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(37,1)}
         8:{2,5,7}:{(2,1),(3,1),(14,1),(17,1)}
         9:{4,5,7}:{(3,1),(15,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(20,1),(38,1),(43,1),(62,1),(67,1),(68,1),(103,1)}
        11:{2,6,7}:{(4,1),(21,1),(62,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(17,1),(19,1),(21,1),(22,1),(39,1),(46,1),(65,1),(70,1)}
        13:{2,4,7}:{(5,1),(20,1),(22,1),(23,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(100,1)}
        15:{4,6}:{(6,1),(9,1),(104,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(26,1),(27,1),(34,1),(49,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(13,1),(25,1),(28,1),(29,1),(30,1),(53,1),(93,1),(100,1),(104,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(24,1),(31,1),(32,1),(48,1),(50,1),(55,1),(56,1),(74,1),(79,1),(80,1)}
        20:{2,4,6}:{(10,1),(13,1),(30,1),(32,1),(33,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(31,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
        23:{3,4,7}:{(13,1),(29,1),(33,1),(104,1)}
        24:{1,5,6}:{(14,1),(17,1),(36,1),(37,1),(96,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1),(62,1)}
        26:{3,6,7}:{(16,1),(39,1),(46,1),(61,1)}
        27:{2,5,7}:{(16,1),(17,1),(36,1),(39,1)}
        28:{1,4,5,7}:{(17,1),(18,1),(22,1),(37,1),(40,1),(41,1),(42,1),(65,1),(85,1),(96,1)}
        29:{3,5,7}:{(18,1),(23,1),(38,1),(43,1),(98,1),(103,1)}
        30:{2,4,5}:{(20,1),(42,1),(43,1),(67,1),(99,1)}
        31:{2,5,6}:{(19,1),(21,1),(44,1),(62,1),(67,1),(89,1)}
        32:{1,4,6}:{(19,1),(20,1),(22,1),(42,1),(44,1),(60,1)}
        33:{3,4,6}:{(20,1),(23,1),(38,1),(43,1)}
        34:{2,4,7}:{(21,1),(22,1),(44,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(41,1),(45,1),(46,1),(47,1),(63,1),(70,1),(85,1),(98,1)}
        36:{2,5,6}:{(24,1),(27,1),(48,1),(49,1),(90,1)}
        37:{1,4,6}:{(24,1),(25,1),(28,1),(49,1),(50,1),(74,1)}
        38:{3,6}:{(25,1),(29,1)}
        39:{3,5,7}:{(26,1),(27,1),(48,1),(51,1)}
        40:{2,4,5,7}:{(27,1),(28,1),(34,1),(49,1),(51,1),(52,1),(53,1),(54,1),(71,1),(75,1),(90,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(35,1),(50,1),(52,1),(53,1),(55,1)}
        42:{1,4,5}:{(30,1),(32,1),(54,1),(55,1),(71,1),(79,1),(94,1),(104,1)}
        43:{3,5}:{(30,1),(33,1),(102,1)}
        44:{2,4,6}:{(31,1),(32,1),(34,1),(54,1),(56,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(50,1),(55,1),(56,1),(57,1),(72,1),(77,1),(80,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{3,7}:{(34,1),(56,1)}
        47:{2,4,7}:{(35,1),(53,1),(57,1),(58,1),(59,1),(81,1)}
        48:{3,5,6}:{(36,1),(39,1),(60,1),(61,1),(82,1)}
        49:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(61,1),(62,1)}
        50:{1,3,6}:{(37,1),(38,1),(41,1),(61,1),(62,1)}
        51:{4,7}:{(39,1),(60,1)}
        52:{3,5,7}:{(40,1),(46,1),(61,1),(63,1),(66,1),(82,1)}
        53:{2,5,7}:{(41,1),(47,1),(62,1),(65,1),(67,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(67,1),(87,1)}
        55:{1,3,5}:{(42,1),(43,1),(45,1),(66,1),(67,1),(82,1),(96,1),(103,1)}
        56:{3,6}:{(44,1),(46,1),(66,1)}
        57:{2,4,6}:{(45,1),(47,1),(62,1),(67,1),(68,1),(69,1),(87,1),(89,1),(99,1)}
        58:{2,3,7}:{(46,1),(47,1),(68,1),(70,1),(98,1)}
        59:{1,4,7}:{(47,1),(65,1),(69,1),(70,1)}
        60:{4,6}:{(48,1),(51,1),(71,1)}
        61:{3,6}:{(49,1),(52,1)}
        62:{2,6}:{(50,1),(53,1),(74,1)}
        63:{3,4,7}:{(51,1),(52,1),(72,1),(75,1),(77,1)}
        64:{2,3,5,7}:{(52,1),(53,1),(58,1),(73,1),(75,1),(76,1),(78,1),(90,1)}
        65:{1,5,7}:{(53,1),(59,1),(74,1),(79,1)}
        66:{3,5}:{(54,1),(56,1),(77,1)}
        67:{2,5}:{(55,1),(57,1),(79,1)}
        68:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1),(101,1),(102,1)}
        69:{1,4,6}:{(57,1),(59,1),(74,1),(79,1),(80,1),(94,1)}
        70:{1,3,7}:{(58,1),(59,1),(80,1),(81,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(63,1),(82,1),(83,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1)}
        74:{1,6}:{(62,1),(65,1)}
        75:{2,4,7}:{(63,1),(64,1),(83,1),(85,1),(87,1)}
        76:{1,3,5,7}:{(64,1),(65,1),(70,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(87,1),(88,1),(103,1)}
        79:{1,5}:{(67,1),(69,1)}
        80:{1,3,6}:{(68,1),(69,1),(70,1),(88,1),(89,1)}
        81:{2,7}:{(70,1),(89,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(75,1),(90,1),(91,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(91,1),(92,1),(101,1)}
        85:{1,4,7}:{(75,1),(76,1),(91,1),(93,1),(94,1),(104,1)}
        86:{2,5,7}:{(76,1),(81,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(80,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(80,1),(81,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,6}:{(84,1),(86,1)}
        93:{2,4,7}:{(85,1),(86,1),(97,1),(98,1),(99,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(93,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 537 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(14,1),(22,1),(41,1),(47,1),(49,1),(81,1),(86,1),(87,1),(117,1),(143,1)}
         1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(28,1),(31,1),(37,1),(64,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(105,1),(106,1),(132,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(26,1),(30,1),(61,1),(67,1),(69,1),(100,1),(164,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(22,1),(41,1),(57,1),(93,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(16,1),(41,1),(76,1),(81,1),(117,1)}
         6:{1,4,6}:{(1,1),(14,1),(17,1),(18,1),(47,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(16,1),(18,1),(20,1),(46,1),(169,1)}
         9:{1,4,5}:{(2,1),(12,1),(19,1),(47,1),(89,1),(122,1),(143,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(156,1),(160,1)}
        11:{2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(37,1)}
        12:{1,4,6}:{(4,1),(9,1),(24,1),(26,1),(94,1),(110,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(61,1),(63,1),(98,1)}
        14:{1,3,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(94,1)}
        15:{2,3,5}:{(5,1),(7,1),(29,1),(31,1),(35,1),(71,1),(99,1),(132,1)}
        16:{2,3,7}:{(5,1),(8,1),(30,1),(61,1),(95,1),(100,1),(171,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(30,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(24,1),(31,1),(33,1),(35,1),(64,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(162,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(26,1),(36,1),(38,1),(63,1),(67,1),(105,1),(107,1),(148,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{1,5,6}:{(11,1),(17,1),(39,1),(40,1),(54,1)}
        24:{2,4,6}:{(11,1),(12,1),(19,1),(39,1),(41,1),(42,1),(76,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(42,1),(43,1)}
        26:{1,4,7}:{(12,1),(13,1),(42,1),(111,1),(114,1)}
        27:{1,3,6,7}:{(13,1),(22,1),(43,1),(44,1),(79,1),(156,1)}
        28:{2,6}:{(14,1),(45,1),(46,1)}
        29:{1,3,5}:{(14,1),(15,1),(17,1),(45,1),(47,1),(81,1),(89,1),(115,1)}
        30:{1,3,7}:{(14,1),(16,1),(18,1),(46,1),(111,1),(173,1)}
        31:{2,4}:{(15,1),(47,1),(49,1),(143,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(20,1),(48,1),(50,1),(51,1),(55,1),(88,1),(90,1),(116,1),(142,1)}
        33:{1,4,5}:{(17,1),(19,1),(39,1),(47,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(167,1),(170,1)}
        35:{3,5}:{(19,1),(41,1),(49,1),(81,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(50,1),(53,1),(55,1),(56,1),(80,1),(82,1),(88,1),(90,1),(114,1),(118,1),(122,1),(139,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{1,4,6}:{(23,1),(24,1),(33,1),(58,1),(59,1)}
        40:{1,5,7}:{(23,1),(25,1),(59,1),(60,1)}
        41:{3,6}:{(24,1),(35,1),(61,1)}
        42:{2,4,7}:{(24,1),(25,1),(26,1),(59,1),(61,1),(95,1)}
        43:{2,6,7}:{(25,1),(27,1),(37,1),(60,1),(162,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(38,1),(62,1),(63,1),(126,1),(148,1)}
        45:{2,5}:{(28,1),(29,1),(64,1),(129,1)}
        46:{2,7}:{(28,1),(30,1),(174,1)}
        47:{1,4}:{(29,1),(31,1),(64,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(34,1),(65,1),(67,1),(68,1),(100,1),(105,1),(107,1),(130,1),(132,1),(151,1)}
        49:{3,4}:{(31,1),(35,1)}
        50:{2,4,7}:{(31,1),(32,1),(67,1),(69,1),(70,1),(152,1)}
        51:{2,3,6}:{(32,1),(37,1),(68,1),(70,1),(74,1),(108,1)}
        52:{1,3,5}:{(33,1),(35,1),(58,1),(66,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(59,1),(67,1),(72,1),(73,1),(97,1),(105,1),(128,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(61,1),(69,1),(74,1),(100,1),(106,1),(132,1),(149,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(63,1),(75,1),(105,1)}
        58:{1,3,6}:{(39,1),(41,1),(52,1),(76,1),(77,1)}
        59:{1,4,7}:{(39,1),(40,1),(42,1),(77,1)}
        60:{1,6,7}:{(40,1),(43,1),(54,1),(167,1)}
        61:{3,7}:{(41,1),(42,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(44,1),(56,1),(78,1),(79,1),(80,1),(112,1),(114,1),(139,1)}
        63:{1,5,7}:{(44,1),(57,1),(80,1)}
        64:{2,4}:{(45,1),(47,1),(81,1)}
        65:{2,5,7}:{(45,1),(46,1),(48,1),(82,1),(83,1),(118,1),(140,1),(157,1)}
        66:{1,3,4}:{(47,1),(49,1),(52,1),(81,1),(84,1),(115,1)}
        67:{1,4,7}:{(47,1),(48,1),(50,1),(82,1),(86,1),(143,1),(158,1)}
        68:{1,3,6}:{(48,1),(51,1),(54,1),(83,1),(86,1),(117,1),(123,1)}
        69:{3,4,7}:{(49,1),(50,1),(55,1),(87,1),(114,1),(143,1),(159,1)}
        70:{2,4,6}:{(50,1),(51,1),(86,1),(87,1),(88,1)}
        71:{2,5}:{(52,1),(76,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(77,1),(85,1),(90,1),(91,1),(121,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(80,1),(88,1),(92,1),(93,1),(118,1)}
        76:{2,6}:{(58,1),(71,1),(94,1),(95,1)}
        77:{1,3,7}:{(58,1),(59,1),(61,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(62,1),(73,1),(96,1),(97,1),(128,1)}
        79:{3,6,7}:{(61,1),(62,1),(74,1),(98,1),(149,1)}
        80:{2,5,7}:{(62,1),(63,1),(75,1),(97,1),(98,1)}
        81:{3}:{(64,1)}
        82:{2,4,7}:{(64,1),(65,1),(67,1),(100,1),(101,1),(163,1)}
        83:{2,6}:{(65,1),(68,1)}
        84:{2,4}:{(66,1),(71,1),(99,1),(102,1),(129,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(69,1),(72,1),(100,1),(103,1),(104,1),(128,1),(130,1),(149,1)}
        86:{1,4,6}:{(67,1),(68,1),(70,1),(101,1),(105,1)}
        87:{3,4,6}:{(69,1),(70,1),(74,1),(106,1),(110,1)}
        88:{2,5}:{(70,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(94,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(95,1),(103,1),(107,1),(108,1),(134,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(97,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(98,1),(106,1),(110,1),(132,1)}
        94:{1,6}:{(76,1),(89,1),(111,1)}
        95:{2,7}:{(76,1),(77,1),(111,1)}
        96:{1,3,6,7}:{(77,1),(78,1),(79,1),(91,1),(112,1),(113,1)}
        97:{1,5,7}:{(78,1),(80,1),(92,1)}
        98:{3,5,7}:{(79,1),(80,1),(93,1),(114,1)}
        99:{2,3}:{(81,1),(84,1),(115,1)}
       100:{3,7}:{(81,1),(82,1),(117,1),(168,1)}
       101:{2,4,6}:{(82,1),(83,1),(86,1),(117,1),(118,1),(143,1)}
       102:{1,4}:{(84,1),(89,1),(115,1)}
       103:{2,4,7}:{(84,1),(85,1),(90,1),(116,1),(119,1),(120,1),(140,1)}
       104:{1,3,4,6}:{(85,1),(86,1),(87,1),(91,1),(117,1),(120,1),(121,1),(125,1),(141,1),(143,1),(147,1),(158,1),(159,1),(168,1)}
       105:{1,5}:{(86,1),(88,1),(118,1)}
       106:{3,5}:{(87,1),(88,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(111,1),(119,1),(123,1),(144,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(113,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(114,1),(122,1),(143,1)}
       111:{1,7}:{(94,1),(95,1)}
       112:{2,6,7}:{(95,1),(96,1),(108,1),(126,1),(127,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(98,1),(109,1),(127,1),(128,1),(149,1)}
       114:{4,7}:{(98,1),(110,1)}
       115:{1,3}:{(99,1),(102,1),(129,1)}
       116:{2,3,7}:{(99,1),(100,1),(103,1),(130,1),(131,1),(149,1),(162,1)}
       117:{3,6}:{(100,1),(101,1),(132,1)}
       118:{2,5}:{(101,1),(105,1),(132,1)}
       119:{1,4,7}:{(102,1),(103,1),(107,1),(130,1),(133,1)}
       120:{2,4,6}:{(103,1),(104,1),(108,1),(131,1),(133,1),(134,1),(150,1),(152,1),(163,1)}
       121:{1,3,5}:{(104,1),(105,1),(106,1),(132,1),(134,1),(135,1),(154,1)}
       122:{4,5}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(127,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(128,1),(135,1),(137,1),(166,1)}
       126:{1,6,7}:{(111,1),(112,1),(123,1),(138,1)}
       127:{2,5,7}:{(112,1),(113,1),(124,1),(138,1),(139,1)}
       128:{1,4,7}:{(113,1),(114,1),(125,1),(139,1),(167,1)}
       129:{2}:{(115,1)}
       130:{1,3,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(167,1)}
       131:{2,3,6}:{(116,1),(117,1),(120,1),(141,1),(142,1),(147,1),(161,1),(168,1)}
       132:{3,5}:{(117,1),(118,1),(143,1)}
       133:{1,4,6}:{(119,1),(120,1),(123,1),(141,1),(144,1),(158,1)}
       134:{2,5}:{(120,1),(121,1),(144,1)}
       135:{1,4,5}:{(121,1),(122,1),(125,1),(143,1),(145,1),(158,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(138,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(139,1),(145,1),(146,1),(147,1),(161,1)}
       138:{1,5,7}:{(126,1),(127,1),(136,1),(148,1)}
       139:{2,4,7}:{(127,1),(128,1),(137,1),(148,1),(149,1),(162,1)}
       140:{2,7}:{(129,1),(130,1),(150,1)}
       141:{1,3,6}:{(130,1),(131,1),(133,1),(150,1),(151,1),(166,1)}
       142:{2,3,5}:{(131,1),(132,1),(134,1),(151,1),(152,1),(154,1),(165,1),(171,1)}
       143:{4}:{(132,1)}
       144:{1,5}:{(133,1),(134,1)}
       145:{2,4,5}:{(134,1),(135,1),(137,1),(152,1),(153,1),(154,1),(163,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(148,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(149,1),(154,1)}
       148:{1,4,7}:{(138,1),(139,1),(146,1),(156,1)}
       149:{3,7}:{(139,1),(147,1)}
       150:{2,6}:{(140,1),(141,1),(157,1)}
       151:{1,3,5}:{(141,1),(142,1),(144,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       152:{2,4}:{(142,1),(143,1),(158,1),(159,1)}
       153:{1,4,5}:{(144,1),(145,1),(146,1),(158,1),(160,1)}
       154:{3,5}:{(145,1),(147,1),(159,1),(168,1)}
       155:{1,3,6}:{(146,1),(147,1),(156,1),(160,1),(161,1)}
       156:{1,3,7}:{(148,1),(149,1),(155,1),(162,1)}
       157:{2,5}:{(150,1),(151,1),(163,1),(174,1)}
       158:{1,4}:{(151,1),(152,1),(163,1)}
       159:{3,4}:{(152,1),(154,1)}
       160:{1,3,5}:{(153,1),(154,1),(155,1),(164,1),(165,1)}
       161:{2,6}:{(155,1),(162,1),(165,1),(166,1)}
       162:{2,7}:{(156,1),(161,1),(167,1)}
       163:{2,4}:{(157,1),(158,1),(168,1)}
       164:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       165:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       166:{1,6}:{(161,1),(167,1),(170,1)}
       167:{1,7}:{(162,1),(166,1)}
       168:{3}:{(163,1)}
       169:{2,4}:{(164,1),(165,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(165,1),(166,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 538 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(25,1),(66,1),(136,1),(155,1),(169,1),(231,1),(237,1),(271,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(37,1),(47,1),(88,1),(110,1),(117,1),(190,1),(218,1),(225,1),(226,1),(298,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(288,1),(295,1),(332,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(30,1),(107,1),(191,1),(210,1),(291,1),(299,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(15,1),(25,1),(61,1),(82,1),(136,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(16,1),(61,1),(82,1),(175,1),(230,1),(257,1),(349,1),(467,1),(519,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(74,1),(78,1),(251,1),(284,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(76,1),(278,1),(285,1),(357,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(55,1),(69,1),(137,1),(161,1),(170,1),(252,1),(362,1)}
         9:{2,4,5}:{(2,1),(12,1),(21,1),(23,1),(155,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(348,1),(358,1)}
        11:{1,3,5,6}:{(4,1),(7,1),(26,1),(27,1),(28,1),(47,1),(88,1),(100,1),(124,1),(190,1),(229,1)}
        12:{2,4,6}:{(4,1),(9,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(35,1),(95,1),(101,1),(191,1)}
        14:{1,4,5,6}:{(5,1),(27,1),(32,1),(33,1),(34,1),(100,1),(124,1),(178,1),(198,1),(297,1),(426,1)}
        15:{3,5,6}:{(5,1),(29,1),(35,1),(288,1),(318,1),(403,1)}
        16:{2,4,5,7}:{(5,1),(30,1),(34,1),(35,1),(36,1),(95,1),(101,1),(195,1),(319,1),(428,1),(497,1)}
        17:{1,2,4,6}:{(6,1),(37,1),(38,1),(39,1),(105,1),(110,1),(113,1),(218,1),(298,1),(301,1),(338,1)}
        18:{2,3,6}:{(6,1),(37,1),(41,1),(42,1),(88,1),(342,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(312,1)}
        21:{1,4,5}:{(7,1),(9,1),(27,1),(43,1),(110,1),(343,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(121,1),(413,1)}
        23:{3,4,5}:{(9,1),(29,1),(209,1),(288,1),(534,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(30,1),(46,1),(48,1),(49,1),(95,1),(210,1),(332,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(403,1),(414,1)}
        26:{2,5,6}:{(11,1),(19,1),(52,1),(53,1),(78,1),(251,1)}
        27:{1,4,6}:{(11,1),(12,1),(21,1),(52,1),(55,1),(286,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(53,1),(55,1),(56,1),(137,1),(141,1),(150,1),(252,1),(253,1)}
        29:{3,4,6}:{(12,1),(15,1),(23,1),(57,1),(519,1)}
        30:{2,4,7}:{(12,1),(13,1),(55,1),(57,1)}
        31:{2,3,6,7}:{(13,1),(25,1),(56,1),(58,1),(64,1),(151,1)}
        32:{2,4,5,6}:{(14,1),(52,1),(59,1),(60,1),(61,1),(132,1),(144,1),(174,1),(246,1),(286,1),(376,1),(377,1)}
        33:{1,3,5,6}:{(14,1),(15,1),(54,1),(59,1),(61,1),(62,1),(235,1),(359,1)}
        34:{1,4,5,7}:{(14,1),(16,1),(55,1),(60,1),(62,1),(63,1),(141,1),(150,1),(258,1),(380,1)}
        35:{3,5,7}:{(15,1),(16,1),(57,1),(64,1),(378,1)}
        36:{2,4,6,7}:{(16,1),(63,1),(64,1),(65,1),(151,1),(152,1),(349,1)}
        37:{1,3,6}:{(17,1),(18,1),(66,1),(68,1),(69,1),(392,1)}
        38:{1,2,5}:{(17,1),(19,1),(68,1),(153,1),(278,1),(357,1)}
        39:{1,2,4,7}:{(17,1),(20,1),(69,1),(71,1),(154,1),(161,1),(362,1),(363,1)}
        40:{2,3,4,6}:{(18,1),(67,1),(72,1),(73,1),(74,1),(133,1),(164,1),(168,1),(171,1),(237,1),(269,1),(381,1)}
        41:{2,3,5}:{(18,1),(19,1),(68,1),(74,1),(76,1)}
        42:{2,3,7}:{(18,1),(20,1),(69,1),(137,1)}
        43:{2,4,5}:{(19,1),(21,1),(52,1),(74,1),(76,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(78,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(54,1),(76,1),(79,1),(143,1),(160,1),(172,1),(235,1),(254,1),(373,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(55,1),(77,1),(80,1),(141,1),(161,1),(278,1)}
        47:{1,3,6}:{(22,1),(25,1),(78,1),(80,1),(173,1),(459,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(57,1),(81,1),(142,1),(270,1),(348,1),(388,1),(454,1)}
        49:{2,4,6}:{(24,1),(25,1),(80,1),(81,1),(82,1)}
        50:{1,2,5,6}:{(26,1),(38,1),(83,1),(84,1),(85,1),(100,1),(113,1),(201,1),(206,1),(295,1),(301,1),(408,1),(412,1),(414,1),(480,1),(492,1)}
        51:{2,3,5,6}:{(26,1),(41,1),(83,1),(86,1),(87,1),(88,1),(119,1),(182,1),(185,1),(227,1),(229,1),(295,1),(307,1),(308,1),(414,1),(480,1),(484,1),(520,1),(531,1),(546,1),(547,1)}
        52:{2,4,6}:{(26,1),(27,1),(43,1),(88,1),(89,1)}
        53:{2,5,7}:{(26,1),(28,1),(89,1),(90,1),(312,1)}
        54:{1,3,4,6}:{(27,1),(29,1),(33,1),(45,1),(88,1),(91,1),(92,1),(96,1),(190,1),(198,1),(318,1)}
        55:{1,4,7}:{(27,1),(28,1),(30,1),(89,1),(313,1)}
        56:{1,3,6,7}:{(28,1),(31,1),(47,1),(90,1),(93,1),(192,1),(205,1)}
        57:{3,4,7}:{(29,1),(30,1),(35,1),(497,1)}
        58:{2,4,6,7}:{(30,1),(31,1),(49,1),(93,1),(94,1),(95,1)}
        59:{3,5,6}:{(32,1),(88,1),(96,1),(98,1),(185,1),(307,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(89,1),(98,1),(99,1),(101,1),(193,1),(199,1),(313,1),(321,1),(322,1)}
        61:{2,5,6}:{(33,1),(91,1),(100,1),(101,1),(295,1),(414,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(35,1),(92,1),(98,1),(101,1),(102,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(99,1),(102,1),(103,1),(205,1),(297,1)}
        64:{3,6,7}:{(35,1),(36,1),(403,1)}
        65:{2,5,6,7}:{(36,1),(95,1),(103,1),(104,1),(404,1),(428,1)}
        66:{2,3,6}:{(37,1),(105,1),(106,1),(107,1),(324,1),(435,1)}
        67:{1,3,4,6}:{(37,1),(40,1),(105,1),(108,1),(109,1),(110,1),(209,1),(212,1),(216,1),(218,1),(298,1),(324,1),(330,1),(331,1),(429,1)}
        68:{1,3,5}:{(37,1),(38,1),(41,1),(106,1),(110,1)}
        69:{1,3,7}:{(37,1),(39,1),(42,1),(107,1)}
        70:{1,2,4,5}:{(38,1),(43,1),(84,1),(110,1),(112,1),(123,1),(178,1),(207,1),(217,1),(228,1),(295,1),(314,1),(336,1),(338,1),(412,1),(433,1),(476,1),(490,1)}
        71:{1,2,5,7}:{(38,1),(39,1),(44,1),(111,1),(113,1),(208,1),(413,1)}
        72:{2,3,5}:{(40,1),(108,1),(115,1),(185,1),(227,1),(295,1)}
        73:{2,3,4,7}:{(40,1),(42,1),(109,1),(116,1),(118,1),(188,1),(221,1),(299,1),(430,1)}
        74:{2,4}:{(41,1),(110,1),(117,1)}
        75:{2,3,5,7}:{(41,1),(42,1),(44,1),(111,1),(118,1),(119,1),(121,1),(227,1)}
        76:{3,5}:{(43,1),(88,1),(117,1)}
        77:{2,4,5,7}:{(43,1),(44,1),(46,1),(89,1),(118,1),(121,1),(122,1),(193,1),(227,1),(313,1),(343,1)}
        78:{2,6}:{(44,1),(47,1)}
        79:{2,4,5}:{(45,1),(91,1),(120,1),(123,1),(217,1),(228,1),(295,1)}
        80:{1,4,6}:{(46,1),(47,1),(49,1),(122,1),(124,1)}
        81:{3,4,6}:{(48,1),(49,1),(125,1),(403,1),(487,1)}
        82:{2,5,6}:{(49,1),(95,1),(124,1),(125,1),(332,1)}
        83:{1,3,5,6}:{(50,1),(51,1),(68,1),(126,1),(127,1),(128,1),(129,1),(162,1),(235,1),(240,1),(278,1),(357,1),(359,1),(360,1),(457,1),(459,1),(516,1),(542,1)}
        84:{1,2,4,6}:{(50,1),(52,1),(70,1),(127,1),(129,1),(130,1),(139,1),(237,1),(251,1),(257,1),(264,1),(389,1),(469,1),(500,1)}
        85:{1,2,5,7}:{(50,1),(53,1),(128,1),(130,1),(131,1),(150,1),(261,1),(265,1),(358,1),(363,1),(455,1),(509,1)}
        86:{2,4,6}:{(51,1),(74,1),(127,1),(132,1),(133,1),(134,1),(286,1),(512,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(53,1),(128,1),(134,1),(135,1),(137,1),(241,1),(245,1),(250,1),(253,1),(358,1),(509,1),(535,1),(548,1)}
        88:{3,6}:{(52,1),(76,1),(137,1)}
        89:{2,4,7}:{(52,1),(53,1),(55,1),(137,1)}
        90:{2,6,7}:{(53,1),(56,1),(78,1)}
        91:{2,4,6}:{(54,1),(61,1),(79,1),(136,1),(139,1),(140,1),(251,1)}
        92:{1,3,4,7}:{(54,1),(55,1),(57,1),(62,1),(137,1),(140,1),(145,1),(252,1),(258,1),(378,1)}
        93:{1,4,6,7}:{(55,1),(56,1),(58,1),(80,1),(138,1),(141,1)}
        94:{3,4,6,7}:{(57,1),(58,1),(64,1),(81,1),(142,1),(152,1)}
        95:{2,5,7}:{(58,1),(82,1),(141,1),(142,1)}
        96:{3,4,6}:{(59,1),(143,1),(144,1),(145,1),(286,1)}
        97:{2,3,5,6}:{(59,1),(61,1),(136,1),(144,1),(146,1),(147,1),(244,1),(368,1),(376,1)}
        98:{3,5,7}:{(59,1),(60,1),(137,1),(145,1),(148,1)}
        99:{2,4,6,7}:{(60,1),(63,1),(148,1),(149,1),(151,1),(246,1),(263,1)}
       100:{1,5,6}:{(61,1),(139,1),(150,1),(357,1),(459,1)}
       101:{2,5,7}:{(61,1),(62,1),(140,1),(150,1),(151,1)}
       102:{1,3,6,7}:{(62,1),(63,1),(64,1),(148,1),(151,1),(359,1)}
       103:{1,5,6,7}:{(63,1),(65,1),(141,1),(149,1),(360,1),(380,1)}
       104:{3,5,6,7}:{(64,1),(65,1),(142,1),(152,1),(451,1),(468,1)}
       105:{2,4,6}:{(66,1),(67,1),(153,1),(154,1),(155,1),(268,1),(387,1),(469,1)}
       106:{2,3,5}:{(66,1),(68,1),(153,1),(155,1),(266,1)}
       107:{2,3,7}:{(66,1),(69,1),(154,1),(382,1)}
       108:{1,3,5}:{(67,1),(72,1),(153,1),(158,1),(266,1),(278,1),(357,1),(388,1)}
       109:{1,3,4,7}:{(67,1),(69,1),(73,1),(154,1),(159,1),(161,1),(270,1),(273,1),(362,1),(382,1),(470,1)}
       110:{1,4}:{(68,1),(74,1),(155,1)}
       111:{1,3,5,7}:{(68,1),(69,1),(71,1),(75,1),(156,1),(161,1),(162,1),(278,1)}
       112:{1,3,5}:{(70,1),(76,1),(129,1),(160,1),(163,1),(266,1),(373,1),(392,1),(504,1)}
       113:{1,2,6}:{(71,1),(78,1),(162,1),(268,1),(459,1)}
       114:{2,3,5,6}:{(72,1),(157,1),(164,1),(165,1),(168,1),(242,1),(283,1),(354,1),(381,1)}
       115:{2,4,5}:{(72,1),(74,1),(158,1),(164,1),(166,1)}
       116:{2,3,5,7}:{(72,1),(73,1),(159,1),(167,1),(168,1),(245,1),(358,1)}
       117:{3,4}:{(74,1),(76,1)}
       118:{2,4,7}:{(74,1),(75,1),(161,1),(170,1),(171,1)}
       119:{2,3,6}:{(75,1),(78,1),(162,1),(171,1),(173,1)}
       120:{2,3,5}:{(76,1),(79,1),(136,1),(169,1),(172,1),(373,1)}
       121:{3,5,7}:{(76,1),(77,1),(137,1),(170,1),(173,1),(285,1)}
       122:{2,4,6}:{(77,1),(78,1),(80,1),(173,1),(174,1),(286,1)}
       123:{1,4,5}:{(79,1),(139,1),(172,1),(277,1),(357,1)}
       124:{1,5,6}:{(80,1),(82,1),(141,1),(174,1),(278,1)}
       125:{3,5,6}:{(81,1),(82,1),(142,1),(175,1),(388,1)}
       126:{2,3,5,6}:{(83,1),(106,1),(176,1),(177,1),(182,1),(201,1),(206,1),(211,1),(288,1),(295,1),(318,1),(324,1),(332,1),(403,1),(404,1),(414,1),(418,1),(434,1),(494,1),(496,1),(533,1)}
       127:{1,4,6}:{(83,1),(86,1),(110,1),(176,1),(178,1),(180,1),(490,1)}
       128:{1,3,5,7}:{(83,1),(85,1),(87,1),(177,1),(180,1),(181,1),(183,1),(300,1),(302,1),(413,1)}
       129:{1,3,6}:{(84,1),(88,1),(112,1),(182,1),(183,1),(318,1),(324,1),(520,1)}
       130:{1,2,4,7}:{(84,1),(85,1),(89,1),(180,1),(183,1),(194,1),(299,1),(312,1),(319,1),(325,1),(437,1),(498,1),(521,1)}
       131:{1,2,6,7}:{(85,1),(90,1),(113,1),(181,1),(205,1),(323,1),(326,1),(414,1),(489,1),(492,1),(529,1)}
       132:{2,4,5}:{(86,1),(178,1),(185,1),(227,1),(295,1),(343,1),(547,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(117,1),(185,1),(188,1),(307,1),(520,1),(525,1)}
       134:{2,4,7}:{(86,1),(87,1),(180,1),(188,1),(313,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(119,1),(181,1),(189,1),(192,1),(307,1),(414,1),(529,1),(531,1),(543,1)}
       136:{2,3,6}:{(88,1),(91,1),(120,1),(190,1),(191,1),(318,1)}
       137:{3,7}:{(88,1),(89,1)}
       138:{2,4,6,7}:{(89,1),(90,1),(93,1),(122,1),(192,1),(193,1),(313,1)}
       139:{1,4,6}:{(91,1),(100,1),(123,1),(190,1),(194,1)}
       140:{2,4,7}:{(91,1),(92,1),(101,1),(191,1),(194,1),(312,1)}
       141:{1,5,7}:{(93,1),(95,1),(124,1),(193,1)}
       142:{3,5,7}:{(94,1),(95,1),(125,1),(195,1)}
       143:{3,4,5}:{(96,1),(185,1),(196,1),(343,1),(525,1)}
       144:{2,4,6}:{(96,1),(97,1),(196,1),(198,1),(199,1)}
       145:{3,4,7}:{(96,1),(98,1),(199,1),(313,1)}
       146:{1,3,5,6}:{(97,1),(100,1),(190,1),(198,1),(201,1),(202,1),(305,1),(318,1),(420,1),(426,1),(496,1)}
       147:{2,3,5,7}:{(97,1),(98,1),(101,1),(191,1),(199,1),(202,1),(203,1),(321,1)}
       148:{3,6,7}:{(98,1),(99,1),(307,1)}
       149:{2,5,6,7}:{(99,1),(103,1),(193,1),(204,1),(308,1),(321,1)}
       150:{1,5,7}:{(100,1),(101,1),(194,1),(205,1)}
       151:{2,6,7}:{(101,1),(102,1),(205,1),(414,1)}
       152:{4,6,7}:{(104,1),(195,1),(487,1),(497,1)}
       153:{2,5}:{(105,1),(108,1)}
       154:{2,4,7}:{(105,1),(107,1),(109,1),(208,1),(498,1)}
       155:{2,4}:{(106,1),(110,1),(209,1)}
       156:{2,3,5,7}:{(106,1),(107,1),(111,1),(208,1),(210,1),(211,1),(328,1),(332,1)}
       157:{1,3,5,6}:{(108,1),(114,1),(206,1),(212,1),(213,1),(216,1),(324,1),(337,1),(408,1),(429,1),(434,1)}
       158:{1,4,5}:{(108,1),(110,1),(115,1),(207,1),(212,1),(436,1)}
       159:{1,3,5,7}:{(108,1),(109,1),(116,1),(208,1),(215,1),(216,1),(328,1),(413,1)}
       160:{1,3,4}:{(110,1),(112,1),(117,1),(209,1),(217,1),(423,1),(490,1),(525,1)}
       161:{1,4,7}:{(110,1),(111,1),(118,1),(210,1),(218,1)}
       162:{1,3,6}:{(111,1),(113,1),(119,1),(211,1),(218,1)}
       163:{2,3,5}:{(112,1),(182,1),(217,1),(219,1),(228,1),(295,1),(342,1),(433,1),(435,1)}
       164:{2,4,6}:{(114,1),(115,1),(212,1),(220,1),(221,1)}
       165:{2,3,5,7}:{(114,1),(213,1),(221,1),(222,1),(303,1),(340,1),(409,1),(430,1)}
       166:{3,4,5}:{(115,1),(117,1),(185,1),(220,1),(552,1)}
       167:{2,4,5,7}:{(115,1),(116,1),(118,1),(215,1),(221,1),(223,1),(224,1),(227,1),(340,1)}
       168:{2,3,6}:{(116,1),(216,1),(224,1),(307,1),(414,1)}
       169:{2,3,4}:{(117,1),(120,1),(217,1),(225,1),(423,1),(435,1)}
       170:{3,4,7}:{(117,1),(118,1),(121,1),(226,1),(313,1)}
       171:{2,4,6}:{(118,1),(119,1),(218,1),(226,1),(227,1)}
       172:{1,3,5}:{(120,1),(123,1),(190,1),(225,1),(228,1)}
       173:{3,6}:{(121,1),(122,1)}
       174:{2,5,6}:{(122,1),(124,1),(193,1),(227,1),(229,1)}
       175:{4,5,6}:{(125,1),(195,1),(436,1),(487,1)}
       176:{2,4,6}:{(126,1),(127,1),(155,1),(230,1),(231,1),(232,1),(462,1),(472,1),(519,1)}
       177:{2,3,5,7}:{(126,1),(128,1),(232,1),(233,1),(241,1),(261,1),(265,1),(348,1),(353,1),(358,1),(378,1),(382,1),(468,1),(471,1)}
       178:{1,4,5}:{(127,1),(132,1),(230,1),(235,1),(278,1),(357,1),(542,1)}
       179:{1,3,4,6}:{(127,1),(129,1),(133,1),(160,1),(231,1),(235,1),(237,1),(238,1),(359,1)}
       180:{1,4,7}:{(127,1),(128,1),(134,1),(232,1)}
       181:{1,3,6,7}:{(128,1),(131,1),(135,1),(162,1),(233,1),(239,1),(359,1),(459,1),(516,1)}
       182:{2,3,6}:{(129,1),(163,1),(237,1),(240,1),(241,1),(251,1),(469,1)}
       183:{1,3,7}:{(129,1),(130,1),(137,1),(241,1),(378,1),(382,1),(535,1)}
       184:{2,4,5,6}:{(132,1),(164,1),(234,1),(242,1),(243,1),(246,1),(283,1),(354,1),(394,1),(500,1),(540,1),(550,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(236,1),(245,1),(246,1),(250,1),(358,1),(372,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(144,1),(169,1),(237,1),(244,1),(247,1),(248,1),(368,1),(452,1),(512,1),(541,1)}
       188:{3,4,7}:{(133,1),(134,1),(137,1),(245,1),(535,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(171,1),(239,1),(246,1),(249,1),(250,1),(541,1)}
       190:{1,3,6}:{(136,1),(139,1),(172,1),(251,1),(252,1)}
       191:{2,3,7}:{(136,1),(137,1),(140,1),(252,1),(378,1)}
       192:{3,6,7}:{(137,1),(138,1),(173,1),(253,1)}
       193:{2,5,7}:{(138,1),(141,1),(174,1),(253,1)}
       194:{1,4,7}:{(139,1),(140,1),(150,1),(252,1)}
       195:{4,5,7}:{(142,1),(152,1),(175,1)}
       196:{2,4,5}:{(143,1),(144,1),(244,1),(254,1),(512,1)}
       197:{3,4,5,7}:{(143,1),(145,1),(245,1),(255,1),(256,1),(260,1),(372,1),(538,1),(549,1)}
       198:{1,4,6}:{(144,1),(146,1),(254,1),(257,1),(258,1),(519,1)}
       199:{2,4,7}:{(144,1),(145,1),(147,1),(258,1)}
       200:{3,4,6,7}:{(145,1),(148,1),(256,1),(259,1),(260,1),(263,1)}
       201:{2,5,6}:{(146,1),(251,1),(257,1),(261,1),(366,1),(464,1)}
       202:{1,3,5,7}:{(146,1),(147,1),(150,1),(252,1),(258,1),(261,1),(262,1),(378,1),(380,1),(468,1)}
       203:{2,3,6,7}:{(147,1),(148,1),(151,1),(259,1),(262,1),(368,1)}
       204:{3,5,6,7}:{(148,1),(149,1),(253,1),(260,1),(263,1),(369,1)}
       205:{1,6,7}:{(150,1),(151,1),(459,1)}
       206:{2,5,6}:{(153,1),(157,1),(264,1),(265,1),(268,1),(469,1)}
       207:{2,4,5}:{(153,1),(155,1),(158,1),(264,1),(266,1)}
       208:{2,5,7}:{(153,1),(154,1),(159,1),(268,1)}
       209:{3,4}:{(155,1),(266,1)}
       210:{2,4,7}:{(155,1),(156,1),(161,1),(270,1),(271,1)}
       211:{2,3,6}:{(156,1),(162,1),(268,1),(271,1),(385,1)}
       212:{1,4,6}:{(157,1),(158,1),(164,1),(264,1),(273,1),(472,1)}
       213:{1,3,5,7}:{(157,1),(165,1),(265,1),(273,1),(274,1),(382,1),(391,1),(455,1),(470,1),(471,1)}
       214:{1,3,4,5}:{(158,1),(160,1),(166,1),(235,1),(266,1),(272,1),(275,1),(344,1),(384,1),(441,1),(504,1)}
       215:{1,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(267,1),(273,1),(276,1),(278,1),(391,1)}
       216:{1,3,6}:{(159,1),(168,1),(268,1),(276,1),(385,1),(459,1)}
       217:{2,4}:{(160,1),(163,1),(277,1)}
       218:{1,4,6}:{(161,1),(162,1),(171,1),(271,1),(278,1)}
       219:{1,3,5}:{(163,1),(240,1),(277,1),(279,1),(357,1),(392,1)}
       220:{3,4,6}:{(164,1),(166,1),(242,1),(280,1),(550,1)}
       221:{2,4,7}:{(164,1),(165,1),(273,1),(280,1)}
       222:{2,3,6,7}:{(165,1),(168,1),(274,1),(281,1),(364,1),(456,1)}
       223:{3,4,5,7}:{(166,1),(167,1),(170,1),(245,1),(280,1),(282,1),(285,1),(372,1),(393,1)}
       224:{2,4,6}:{(167,1),(168,1),(276,1),(282,1),(283,1)}
       225:{1,3,4}:{(169,1),(172,1),(277,1),(284,1),(392,1)}
       226:{3,4,6}:{(170,1),(171,1),(173,1),(285,1),(286,1)}
       227:{2,5}:{(171,1),(278,1),(285,1)}
       228:{2,5}:{(172,1),(251,1),(284,1)}
       229:{3,5,6}:{(173,1),(174,1),(253,1),(285,1),(286,1)}
       230:{2,4,5}:{(176,1),(178,1),(288,1),(295,1),(332,1),(436,1),(533,1),(534,1)}
       231:{3,4,6}:{(176,1),(209,1),(288,1),(291,1),(318,1),(324,1),(403,1),(423,1)}
       232:{2,4,7}:{(176,1),(177,1),(180,1),(291,1),(497,1),(499,1)}
       233:{2,3,6,7}:{(177,1),(181,1),(211,1),(292,1),(323,1),(326,1),(403,1),(414,1),(427,1),(431,1),(494,1)}
       234:{1,4,5,6}:{(178,1),(184,1),(212,1),(287,1),(293,1),(294,1),(297,1),(337,1),(408,1),(473,1),(528,1)}
       235:{1,3,5}:{(178,1),(179,1),(185,1),(288,1),(295,1)}
       236:{1,4,5,7}:{(178,1),(180,1),(186,1),(289,1),(296,1),(297,1),(300,1),(413,1)}
       237:{2,4,6}:{(179,1),(182,1),(217,1),(295,1),(298,1),(299,1),(414,1)}
       238:{1,3,4,7}:{(179,1),(180,1),(183,1),(188,1),(291,1),(296,1),(299,1)}
       239:{1,4,6,7}:{(180,1),(181,1),(189,1),(218,1),(292,1),(297,1),(300,1),(532,1)}
       240:{1,3,6}:{(182,1),(219,1),(298,1),(301,1),(302,1)}
       241:{2,3,7}:{(182,1),(183,1),(299,1),(302,1),(312,1),(498,1)}
       242:{3,5,6}:{(184,1),(185,1),(220,1),(303,1),(307,1),(520,1)}
       243:{2,4,5,7}:{(184,1),(221,1),(294,1),(303,1),(304,1),(340,1),(409,1),(438,1),(521,1),(544,1),(551,1)}
       244:{2,3,5}:{(185,1),(187,1),(196,1),(295,1),(305,1),(547,1)}
       245:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       246:{2,4,6}:{(186,1),(297,1),(307,1),(308,1),(414,1),(421,1)}
       247:{1,3,4,6}:{(187,1),(190,1),(198,1),(225,1),(298,1),(305,1),(309,1),(310,1),(318,1),(415,1),(420,1),(423,1),(490,1),(495,1),(532,1)}
       248:{2,3,4,7}:{(187,1),(188,1),(191,1),(199,1),(299,1),(306,1),(310,1),(488,1),(530,1)}
       249:{3,4,6,7}:{(188,1),(189,1),(192,1),(226,1),(307,1),(311,1),(313,1),(421,1),(543,1),(545,1),(551,1)}
       250:{2,5,7}:{(189,1),(227,1),(300,1),(308,1),(311,1),(547,1)}
       251:{2,6}:{(190,1),(228,1),(312,1)}
       252:{1,3,7}:{(190,1),(191,1),(194,1),(312,1)}
       253:{3,5,7}:{(192,1),(193,1),(229,1),(313,1)}
       254:{1,4,5}:{(196,1),(198,1),(305,1),(314,1),(490,1),(534,1)}
       255:{2,4,5,7}:{(196,1),(197,1),(199,1),(306,1),(315,1),(316,1),(321,1),(530,1),(547,1)}
       256:{3,4,6}:{(197,1),(307,1),(316,1),(317,1),(421,1)}
       257:{2,4,6}:{(198,1),(201,1),(314,1),(318,1),(319,1)}
       258:{1,4,7}:{(198,1),(199,1),(202,1),(319,1),(497,1)}
       259:{2,4,6,7}:{(199,1),(200,1),(203,1),(316,1),(320,1),(321,1)}
       260:{3,5,7}:{(200,1),(317,1),(321,1),(322,1)}
       261:{2,5,7}:{(201,1),(202,1),(312,1),(319,1),(323,1)}
       262:{1,3,6,7}:{(202,1),(203,1),(205,1),(320,1),(323,1),(420,1),(427,1)}
       263:{4,6,7}:{(204,1),(313,1),(322,1),(421,1)}
       264:{2,4,6}:{(206,1),(207,1),(212,1),(324,1),(325,1)}
       265:{2,5,7}:{(206,1),(213,1),(325,1),(326,1),(498,1)}
       266:{3,5}:{(207,1),(209,1),(324,1)}
       267:{2,4,5,7}:{(207,1),(208,1),(210,1),(215,1),(325,1),(328,1),(329,1),(332,1),(432,1),(436,1),(499,1)}
       268:{2,6}:{(208,1),(216,1)}
       269:{2,3,4}:{(209,1),(217,1),(327,1),(330,1),(342,1),(525,1)}
       270:{3,4,7}:{(209,1),(210,1),(328,1),(331,1),(499,1)}
       271:{2,4,6}:{(210,1),(211,1),(218,1),(331,1),(332,1)}
       272:{1,3,4,6}:{(212,1),(214,1),(220,1),(293,1),(324,1),(333,1),(334,1),(395,1),(429,1),(473,1),(520,1)}
       273:{1,4,7}:{(212,1),(213,1),(221,1),(325,1),(499,1)}
       274:{1,3,6,7}:{(213,1),(216,1),(222,1),(326,1),(335,1),(431,1),(489,1)}
       275:{2,4,5}:{(214,1),(217,1),(295,1),(327,1),(333,1),(336,1),(433,1)}
       276:{1,4,6}:{(215,1),(216,1),(224,1),(329,1),(337,1)}
       277:{1,4}:{(217,1),(219,1)}
       278:{1,5}:{(218,1),(227,1),(332,1)}
       279:{1,2,5}:{(219,1),(228,1),(301,1),(338,1),(433,1)}
       280:{3,4,7}:{(220,1),(221,1),(303,1),(551,1)}
       281:{2,4,6,7}:{(221,1),(222,1),(224,1),(335,1),(339,1),(340,1)}
       282:{3,4,6}:{(223,1),(224,1),(307,1),(341,1),(421,1)}
       283:{2,5,6}:{(224,1),(227,1),(337,1),(340,1),(341,1)}
       284:{2,4}:{(225,1),(228,1),(342,1)}
       285:{3,5}:{(226,1),(227,1),(343,1)}
       286:{4,6}:{(229,1),(313,1),(343,1)}
       287:{2,4,5,6}:{(230,1),(234,1),(264,1),(345,1),(346,1),(349,1),(354,1),(386,1),(439,1),(472,1),(507,1),(508,1)}
       288:{3,5}:{(230,1),(231,1)}
       289:{2,4,5,7}:{(230,1),(232,1),(236,1),(348,1),(349,1),(353,1),(358,1),(454,1)}
       290:{2,3,4,6}:{(231,1),(237,1),(269,1),(347,1),(350,1),(351,1),(370,1),(381,1),(439,1),(450,1),(462,1),(517,1)}
       291:{3,4,7}:{(231,1),(232,1),(348,1),(378,1),(382,1)}
       292:{2,4,6,7}:{(232,1),(233,1),(239,1),(271,1),(349,1),(352,1),(353,1),(517,1)}
       293:{1,3,5,6}:{(234,1),(235,1),(242,1),(272,1),(345,1),(354,1),(355,1),(359,1)}
       294:{1,4,5,7}:{(234,1),(243,1),(273,1),(346,1),(355,1),(356,1),(391,1),(455,1),(501,1),(537,1)}
       295:{2,5}:{(235,1),(237,1),(357,1)}
       296:{1,3,5,7}:{(235,1),(236,1),(238,1),(245,1),(348,1),(358,1),(359,1)}
       297:{1,4,6}:{(236,1),(246,1),(349,1),(359,1),(360,1),(459,1)}
       298:{1,4,6}:{(237,1),(240,1),(277,1),(357,1),(362,1),(459,1)}
       299:{2,4,7}:{(237,1),(238,1),(241,1),(358,1),(362,1)}
       300:{1,5,7}:{(239,1),(250,1),(278,1),(353,1),(360,1),(542,1)}
       301:{1,2,6}:{(240,1),(251,1),(279,1),(363,1),(469,1)}
       302:{1,3,7}:{(240,1),(241,1),(362,1),(363,1)}
       303:{3,5,7}:{(242,1),(243,1),(280,1),(364,1),(535,1)}
       304:{2,4,6,7}:{(243,1),(246,1),(356,1),(364,1),(365,1),(456,1),(461,1)}
       305:{1,3,5}:{(244,1),(247,1),(254,1),(357,1),(366,1),(373,1),(518,1),(542,1)}
       306:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(358,1),(367,1),(368,1)}
       307:{3,6}:{(245,1),(246,1)}
       308:{2,5,6}:{(246,1),(250,1),(360,1),(369,1)}
       309:{2,4,6}:{(247,1),(251,1),(284,1),(366,1),(370,1),(371,1),(462,1),(464,1)}
       310:{1,3,4,7}:{(247,1),(248,1),(252,1),(258,1),(362,1),(367,1),(371,1),(378,1),(460,1),(465,1),(515,1)}
       311:{3,5,7}:{(249,1),(250,1),(285,1),(369,1),(372,1),(549,1)}
       312:{2,7}:{(251,1),(252,1)}
       313:{4,7}:{(253,1),(286,1)}
       314:{2,4,5}:{(254,1),(257,1),(366,1),(373,1),(462,1)}
       315:{1,4,5,7}:{(254,1),(255,1),(258,1),(367,1),(374,1),(375,1),(380,1),(515,1),(542,1)}
       316:{2,4,6}:{(255,1),(256,1),(368,1),(375,1),(376,1)}
       317:{3,5,6}:{(256,1),(260,1),(376,1),(377,1),(549,1)}
       318:{3,6}:{(257,1),(373,1),(378,1)}
       319:{2,4,7}:{(257,1),(258,1),(261,1),(378,1)}
       320:{1,4,6,7}:{(258,1),(259,1),(262,1),(375,1),(379,1),(380,1)}
       321:{2,5,7}:{(259,1),(260,1),(376,1),(380,1)}
       322:{4,5,7}:{(260,1),(263,1),(377,1)}
       323:{2,6,7}:{(261,1),(262,1),(464,1)}
       324:{3,6}:{(264,1),(266,1),(382,1)}
       325:{2,4,7}:{(264,1),(265,1),(273,1),(382,1)}
       326:{2,6,7}:{(265,1),(268,1),(274,1)}
       327:{2,3,5}:{(266,1),(269,1),(275,1),(381,1),(384,1),(504,1)}
       328:{3,5,7}:{(266,1),(267,1),(270,1),(382,1),(385,1),(388,1)}
       329:{2,4,6}:{(267,1),(268,1),(276,1),(385,1),(386,1),(472,1)}
       330:{1,3,4}:{(269,1),(277,1),(384,1),(387,1),(392,1)}
       331:{3,4,6}:{(270,1),(271,1),(385,1),(388,1),(472,1)}
       332:{2,5}:{(271,1),(278,1),(388,1)}
       333:{2,4,6}:{(272,1),(275,1),(354,1),(381,1),(389,1),(390,1),(469,1)}
       334:{1,3,4,7}:{(272,1),(273,1),(280,1),(355,1),(382,1),(390,1),(440,1),(470,1),(501,1),(535,1)}
       335:{1,4,6,7}:{(273,1),(274,1),(276,1),(281,1),(383,1),(391,1)}
       336:{1,4,5}:{(275,1),(277,1),(357,1),(384,1),(389,1)}
       337:{1,5,6}:{(276,1),(278,1),(283,1),(386,1),(391,1)}
       338:{1,2,4}:{(277,1),(279,1),(284,1),(387,1),(392,1)}
       339:{3,4,6,7}:{(280,1),(281,1),(282,1),(364,1),(393,1),(461,1)}
       340:{2,5,7}:{(281,1),(283,1),(391,1),(393,1)}
       341:{3,5,6}:{(282,1),(283,1),(285,1),(393,1),(394,1)}
       342:{2,3}:{(284,1),(392,1)}
       343:{4,5}:{(285,1),(286,1)}
       344:{3,4,5}:{(288,1),(395,1),(396,1),(423,1),(436,1)}
       345:{3,5,6}:{(287,1),(288,1),(324,1),(395,1),(399,1),(403,1)}
       346:{2,4,5,7}:{(287,1),(294,1),(325,1),(399,1),(400,1),(409,1),(432,1),(474,1),(499,1),(523,1),(524,1)}
       347:{2,3,5}:{(288,1),(290,1),(295,1),(396,1),(401,1),(533,1)}
       348:{3,5,7}:{(288,1),(289,1),(291,1),(403,1)}
       349:{2,4,6}:{(289,1),(297,1),(403,1),(404,1),(414,1),(487,1)}
       350:{1,3,4,6}:{(290,1),(298,1),(330,1),(401,1),(405,1),(406,1),(415,1),(429,1),(473,1),(486,1),(490,1),(520,1),(525,1),(532,1),(545,1)}
       351:{2,3,4,7}:{(290,1),(291,1),(299,1),(402,1),(406,1),(422,1),(430,1),(474,1),(493,1)}
       352:{3,4,6,7}:{(291,1),(292,1),(331,1),(403,1),(407,1),(427,1),(431,1),(487,1),(495,1),(497,1),(499,1)}
       353:{2,5,7}:{(292,1),(300,1),(332,1),(404,1),(407,1),(533,1)}
       354:{2,5,6}:{(293,1),(295,1),(333,1),(408,1),(409,1),(414,1)}
       355:{1,3,5,7}:{(293,1),(294,1),(303,1),(334,1),(399,1),(409,1),(410,1)}
       356:{1,4,6,7}:{(294,1),(297,1),(304,1),(400,1),(410,1),(411,1),(489,1)}
       357:{1,5}:{(295,1),(298,1)}
       358:{2,5,7}:{(295,1),(296,1),(299,1),(413,1),(414,1)}
       359:{1,3,6}:{(296,1),(297,1),(307,1),(403,1),(414,1)}
       360:{1,5,6}:{(297,1),(300,1),(308,1),(404,1)}
       361:{1,2,4,6}:{(298,1),(301,1),(309,1),(338,1),(405,1),(412,1),(415,1),(416,1),(490,1),(492,1),(532,1)}
       362:{1,4,7}:{(298,1),(299,1),(302,1),(413,1)}
       363:{1,2,7}:{(301,1),(302,1),(312,1),(498,1)}
       364:{3,6,7}:{(303,1),(304,1),(307,1)}
       365:{2,5,6,7}:{(304,1),(308,1),(340,1),(411,1),(417,1),(544,1)}
       366:{2,5}:{(305,1),(309,1)}
       367:{1,3,5,7}:{(305,1),(306,1),(310,1),(315,1),(413,1),(419,1),(420,1),(424,1)}
       368:{2,3,6}:{(306,1),(307,1),(316,1),(414,1),(420,1)}
       369:{3,5,6}:{(307,1),(308,1),(311,1),(421,1)}
       370:{2,3,6}:{(309,1),(318,1),(342,1),(415,1),(418,1),(422,1)}
       371:{2,4,7}:{(309,1),(310,1),(312,1),(419,1),(422,1)}
       372:{4,5,7}:{(311,1),(313,1),(343,1),(421,1),(551,1),(552,1)}
       373:{3,5}:{(314,1),(318,1),(423,1)}
       374:{2,4,5,7}:{(314,1),(315,1),(319,1),(419,1),(424,1),(425,1),(428,1),(493,1),(497,1),(533,1),(534,1)}
       375:{1,4,6}:{(315,1),(316,1),(420,1),(425,1),(426,1)}
       376:{2,5,6}:{(316,1),(317,1),(321,1),(426,1),(547,1)}
       377:{4,5,6}:{(317,1),(322,1),(421,1),(552,1)}
       378:{3,7}:{(318,1),(319,1)}
       379:{2,4,6,7}:{(319,1),(320,1),(323,1),(425,1),(427,1),(428,1),(497,1)}
       380:{1,5,7}:{(320,1),(321,1),(426,1),(428,1)}
       381:{2,3,6}:{(324,1),(327,1),(333,1),(429,1),(430,1),(520,1)}
       382:{3,7}:{(324,1),(325,1)}
       383:{2,4,6,7}:{(325,1),(326,1),(329,1),(335,1),(431,1),(432,1),(499,1)}
       384:{1,3,5}:{(327,1),(330,1),(336,1),(429,1),(433,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(332,1),(337,1),(432,1),(434,1)}
       387:{2,4}:{(330,1),(433,1),(435,1)}
       388:{3,5}:{(331,1),(332,1),(436,1)}
       389:{1,4,6}:{(333,1),(336,1),(408,1),(429,1),(437,1)}
       390:{2,4,7}:{(333,1),(334,1),(409,1),(430,1),(437,1),(498,1)}
       391:{1,5,7}:{(335,1),(337,1),(340,1),(432,1)}
       392:{1,3}:{(338,1),(342,1),(435,1)}
       393:{3,5,7}:{(339,1),(340,1),(341,1),(438,1)}
       394:{4,5,6}:{(341,1),(343,1),(421,1),(438,1)}
       395:{3,4,6}:{(344,1),(345,1),(439,1),(440,1),(472,1)}
       396:{2,4,5}:{(344,1),(347,1),(439,1),(441,1),(462,1)}
       397:{3,4,5,7}:{(344,1),(348,1),(440,1),(442,1),(443,1),(454,1),(465,1),(503,1),(518,1)}
       398:{2,3,5,6}:{(345,1),(347,1),(354,1),(381,1),(439,1),(444,1),(445,1),(450,1),(507,1)}
       399:{3,5,7}:{(345,1),(346,1),(382,1),(440,1),(446,1)}
       400:{2,4,6,7}:{(346,1),(349,1),(356,1),(446,1),(447,1),(456,1),(511,1)}
       401:{1,3,5}:{(347,1),(350,1),(357,1),(441,1),(448,1),(504,1),(542,1),(549,1)}
       402:{2,3,5,7}:{(347,1),(348,1),(351,1),(358,1),(442,1),(449,1),(450,1)}
       403:{3,6}:{(348,1),(349,1)}
       404:{2,5,6}:{(349,1),(353,1),(360,1),(451,1)}
       405:{2,4,6}:{(350,1),(387,1),(448,1),(452,1),(453,1),(469,1),(512,1),(514,1)}
       406:{1,3,4,7}:{(350,1),(351,1),(362,1),(449,1),(453,1),(460,1),(470,1),(501,1),(515,1),(535,1),(538,1)}
       407:{3,5,7}:{(352,1),(353,1),(388,1),(451,1),(454,1),(518,1)}
       408:{1,5,6}:{(354,1),(357,1),(389,1),(455,1),(459,1)}
       409:{2,5,7}:{(354,1),(355,1),(390,1),(455,1),(456,1)}
       410:{1,3,6,7}:{(355,1),(356,1),(359,1),(364,1),(446,1),(456,1)}
       411:{1,5,6,7}:{(356,1),(360,1),(365,1),(391,1),(447,1),(537,1)}
       412:{1,2,5}:{(357,1),(361,1),(366,1),(448,1),(457,1),(542,1)}
       413:{1,5,7}:{(357,1),(358,1),(362,1),(459,1)}
       414:{2,6}:{(358,1),(359,1),(459,1)}
       415:{1,3,6}:{(361,1),(370,1),(392,1),(452,1),(457,1),(460,1)}
       416:{1,2,4,7}:{(361,1),(362,1),(363,1),(371,1),(453,1),(458,1),(460,1),(515,1)}
       417:{3,5,6,7}:{(364,1),(365,1),(369,1),(393,1),(461,1),(548,1)}
       418:{2,3,5}:{(366,1),(370,1),(373,1),(457,1),(462,1)}
       419:{2,5,7}:{(366,1),(367,1),(371,1),(464,1)}
       420:{1,3,6}:{(367,1),(368,1),(375,1),(459,1),(464,1),(466,1)}
       421:{4,6}:{(369,1),(372,1)}
       422:{2,3,7}:{(370,1),(371,1),(378,1),(460,1)}
       423:{3,4}:{(373,1),(462,1)}
       424:{3,5,7}:{(373,1),(374,1),(378,1),(465,1),(466,1),(518,1)}
       425:{2,4,6}:{(374,1),(375,1),(464,1),(466,1),(467,1),(519,1)}
       426:{1,5,6}:{(375,1),(376,1),(380,1),(467,1),(542,1)}
       427:{3,6,7}:{(378,1),(379,1),(466,1),(468,1)}
       428:{2,5,7}:{(379,1),(380,1),(467,1),(468,1)}
       429:{1,3,6}:{(381,1),(384,1),(389,1),(469,1),(470,1)}
       430:{2,3,7}:{(381,1),(382,1),(390,1),(470,1),(535,1)}
       431:{3,6,7}:{(382,1),(383,1),(385,1),(471,1)}
       432:{2,5,7}:{(383,1),(386,1),(391,1),(471,1)}
       433:{2,5}:{(384,1),(387,1),(469,1)}
       434:{3,5,6}:{(385,1),(386,1),(388,1),(471,1),(472,1)}
       435:{2,3}:{(387,1),(392,1)}
       436:{4,5}:{(388,1),(472,1)}
       437:{1,4,7}:{(389,1),(390,1),(455,1),(470,1)}
       438:{4,5,7}:{(393,1),(394,1),(461,1)}
       439:{2,4,6}:{(395,1),(396,1),(398,1),(473,1),(474,1)}
       440:{3,4,7}:{(395,1),(399,1),(474,1),(499,1)}
       441:{1,4,5}:{(396,1),(401,1),(473,1),(476,1),(490,1),(552,1)}
       442:{2,4,5,7}:{(396,1),(397,1),(402,1),(474,1),(477,1),(478,1),(493,1),(523,1),(533,1)}
       443:{3,4,6}:{(397,1),(403,1),(478,1),(479,1),(487,1)}
       444:{1,3,5,6}:{(398,1),(401,1),(408,1),(429,1),(473,1),(480,1),(481,1),(486,1),(520,1),(528,1),(546,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(409,1),(430,1),(474,1),(481,1),(482,1),(523,1)}
       446:{3,6,7}:{(399,1),(400,1),(403,1)}
       447:{2,5,6,7}:{(400,1),(404,1),(411,1),(432,1),(483,1),(523,1)}
       448:{2,5}:{(401,1),(405,1)}
       449:{1,3,5,7}:{(401,1),(402,1),(406,1),(413,1),(477,1),(485,1),(486,1),(526,1)}
       450:{2,3,6}:{(402,1),(403,1),(414,1),(478,1),(486,1)}
       451:{3,5,6}:{(403,1),(404,1),(407,1),(487,1)}
       452:{2,3,6}:{(405,1),(415,1),(435,1),(484,1),(488,1),(520,1)}
       453:{2,4,7}:{(405,1),(406,1),(485,1),(488,1),(498,1)}
       454:{4,5,7}:{(407,1),(436,1),(487,1),(497,1),(499,1),(534,1)}
       455:{1,5,7}:{(408,1),(409,1),(437,1),(489,1)}
       456:{2,6,7}:{(409,1),(410,1),(414,1),(489,1)}
       457:{1,3,5}:{(412,1),(415,1),(418,1),(484,1),(490,1)}
       458:{1,2,5,7}:{(412,1),(413,1),(416,1),(419,1),(485,1),(491,1),(492,1)}
       459:{1,6}:{(413,1),(414,1)}
       460:{1,3,7}:{(415,1),(416,1),(422,1),(488,1)}
       461:{4,6,7}:{(417,1),(421,1),(438,1),(551,1)}
       462:{2,4}:{(418,1),(423,1),(490,1)}
       463:{2,3,5,7}:{(418,1),(419,1),(422,1),(424,1),(491,1),(493,1),(494,1),(533,1)}
       464:{2,6}:{(419,1),(420,1)}
       465:{3,4,7}:{(423,1),(424,1),(493,1),(495,1),(497,1)}
       466:{3,6}:{(424,1),(425,1)}
       467:{2,5,6}:{(425,1),(426,1),(428,1),(496,1),(533,1)}
       468:{3,5,7}:{(427,1),(428,1),(496,1),(497,1)}
       469:{2,6}:{(429,1),(433,1),(498,1)}
       470:{1,3,7}:{(429,1),(430,1),(437,1),(498,1)}
       471:{3,5,7}:{(431,1),(432,1),(434,1),(499,1)}
       472:{4,6}:{(434,1),(436,1),(499,1)}
       473:{1,4,6}:{(439,1),(441,1),(444,1),(500,1),(501,1),(550,1)}
       474:{2,4,7}:{(439,1),(440,1),(445,1),(501,1)}
       475:{3,4,6,7}:{(440,1),(443,1),(446,1),(502,1),(503,1),(511,1)}
       476:{2,4,5}:{(441,1),(448,1),(500,1),(504,1),(512,1)}
       477:{1,4,5,7}:{(441,1),(442,1),(449,1),(501,1),(505,1),(506,1),(515,1),(537,1),(542,1)}
       478:{2,4,6}:{(442,1),(443,1),(450,1),(506,1),(507,1)}
       479:{3,5,6}:{(443,1),(503,1),(507,1),(508,1),(518,1)}
       480:{2,5,6}:{(444,1),(448,1),(469,1),(500,1),(509,1),(514,1)}
       481:{1,3,5,7}:{(444,1),(445,1),(455,1),(470,1),(501,1),(509,1),(510,1),(535,1),(537,1),(548,1)}
       482:{2,3,6,7}:{(445,1),(446,1),(450,1),(456,1),(502,1),(510,1)}
       483:{3,5,6,7}:{(446,1),(447,1),(451,1),(471,1),(503,1),(511,1)}
       484:{2,3,5}:{(448,1),(452,1),(457,1),(504,1),(512,1)}
       485:{2,5,7}:{(448,1),(449,1),(453,1),(514,1)}
       486:{1,3,6}:{(449,1),(450,1),(459,1),(506,1),(514,1),(539,1)}
       487:{4,6}:{(451,1),(454,1)}
       488:{2,3,7}:{(452,1),(453,1),(460,1),(535,1)}
       489:{1,6,7}:{(455,1),(456,1),(459,1)}
       490:{1,4}:{(457,1),(462,1),(512,1)}
       491:{1,3,5,7}:{(457,1),(458,1),(460,1),(463,1),(513,1),(515,1),(516,1),(542,1)}
       492:{1,2,6}:{(458,1),(459,1),(464,1),(514,1),(516,1)}
       493:{2,4,7}:{(462,1),(463,1),(465,1),(515,1),(517,1)}
       494:{2,3,6}:{(463,1),(464,1),(466,1),(516,1),(517,1)}
       495:{3,4,6}:{(465,1),(466,1),(517,1),(518,1),(519,1)}
       496:{3,5,6}:{(466,1),(467,1),(468,1),(518,1),(519,1)}
       497:{4,7}:{(468,1),(519,1)}
       498:{2,7}:{(469,1),(470,1)}
       499:{4,7}:{(471,1),(472,1)}
       500:{2,4,6}:{(473,1),(476,1),(480,1),(520,1),(521,1)}
       501:{1,4,7}:{(473,1),(474,1),(481,1),(521,1),(551,1)}
       502:{2,4,6,7}:{(474,1),(475,1),(478,1),(482,1),(522,1),(523,1)}
       503:{3,5,7}:{(475,1),(479,1),(523,1),(524,1)}
       504:{3,5}:{(476,1),(520,1),(525,1)}
       505:{2,4,5,7}:{(476,1),(477,1),(485,1),(521,1),(526,1),(527,1),(530,1),(544,1),(547,1),(551,1),(552,1)}
       506:{1,4,6}:{(477,1),(478,1),(486,1),(527,1),(528,1)}
       507:{2,5,6}:{(478,1),(479,1),(523,1),(528,1),(533,1)}
       508:{4,5,6}:{(479,1),(487,1),(524,1),(534,1)}
       509:{2,5,7}:{(480,1),(481,1),(498,1),(521,1),(529,1)}
       510:{1,3,6,7}:{(481,1),(482,1),(486,1),(489,1),(522,1),(529,1),(543,1)}
       511:{4,6,7}:{(483,1),(487,1),(499,1),(524,1)}
       512:{2,4}:{(484,1),(490,1),(525,1)}
       513:{2,3,5,7}:{(484,1),(485,1),(488,1),(491,1),(526,1),(530,1),(531,1),(547,1)}
       514:{2,6}:{(485,1),(486,1)}
       515:{1,4,7}:{(490,1),(491,1),(493,1),(530,1),(532,1)}
       516:{1,3,6}:{(491,1),(492,1),(494,1),(531,1),(532,1)}
       517:{2,4,6}:{(493,1),(494,1),(495,1),(532,1),(533,1)}
       518:{3,5}:{(495,1),(533,1),(534,1)}
       519:{4,6}:{(496,1),(497,1),(534,1)}
       520:{3,6}:{(500,1),(504,1),(535,1)}
       521:{2,4,7}:{(500,1),(501,1),(509,1),(535,1)}
       522:{1,4,6,7}:{(501,1),(502,1),(506,1),(510,1),(536,1),(537,1)}
       523:{2,5,7}:{(502,1),(503,1),(507,1),(537,1)}
       524:{4,5,7}:{(503,1),(508,1),(511,1)}
       525:{3,4}:{(504,1),(512,1)}
       526:{3,5,7}:{(504,1),(505,1),(535,1),(538,1),(539,1),(549,1)}
       527:{2,4,6}:{(505,1),(506,1),(514,1),(539,1),(540,1),(550,1)}
       528:{1,5,6}:{(506,1),(507,1),(537,1),(540,1),(542,1)}
       529:{2,6,7}:{(509,1),(510,1),(514,1)}
       530:{2,4,7}:{(512,1),(513,1),(515,1),(538,1),(541,1)}
       531:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(518,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{3,7}:{(520,1),(521,1)}
       536:{2,4,6,7}:{(521,1),(522,1),(527,1),(529,1),(543,1),(544,1),(551,1)}
       537:{1,5,7}:{(522,1),(523,1),(528,1),(544,1)}
       538:{3,4,7}:{(525,1),(526,1),(530,1),(545,1),(551,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{2,5,6}:{(527,1),(528,1),(544,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{3,6,7}:{(535,1),(536,1),(539,1),(548,1)}
       544:{2,5,7}:{(536,1),(537,1),(540,1),(548,1)}
       545:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       546:{3,5,6}:{(539,1),(540,1),(548,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(549,1)}
       548:{3,5,7}:{(543,1),(544,1),(546,1),(551,1)}
       549:{3,5}:{(545,1),(547,1),(552,1)}
       550:{4,6}:{(546,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 539 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 540 :   0:{1,2,6,7}:{(3,1),(5,1),(155,1),(221,1),(303,1),(316,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(77,1),(132,1),(155,1),(217,1),(229,1),(234,1),(316,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(24,1),(27,1),(61,1),(77,1),(129,1),(145,1),(234,1),(240,1),(318,1)}
         3:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(112,1),(277,1),(351,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(45,1),(47,1),(112,1),(183,1),(187,1),(277,1),(279,1),(351,1),(401,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(113,1),(175,1),(262,1),(274,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(49,1),(93,1),(172,1),(260,1)}
         7:{1,3,5}:{(2,1),(13,1),(15,1),(16,1),(190,1),(284,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(20,1),(21,1),(149,1),(155,1),(232,1),(303,1),(323,1),(368,1)}
         9:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(69,1),(71,1),(77,1),(138,1),(142,1),(149,1),(155,1),(217,1),(232,1),(243,1),(302,1),(323,1),(381,1),(383,1)}
        10:{1,4,6,7}:{(3,1),(20,1),(23,1),(25,1),(75,1),(380,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(25,1),(28,1),(228,1),(233,1)}
        12:{1,4,6}:{(4,1),(22,1),(24,1),(25,1),(318,1)}
        13:{1,3,4}:{(7,1),(27,1),(318,1),(322,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(78,1),(133,1),(218,1),(301,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1),(29,1),(302,1)}
        16:{2,3,5}:{(7,1),(27,1),(29,1),(30,1),(77,1),(129,1),(154,1)}
        17:{1,3,4,5}:{(13,1),(32,1),(33,1),(47,1),(88,1),(105,1),(179,1),(194,1),(270,1),(284,1)}
        18:{1,3,6,7}:{(8,1),(34,1),(36,1),(37,1),(185,1),(200,1),(288,1)}
        19:{1,3,5,6}:{(9,1),(35,1),(37,1),(38,1),(52,1),(97,1),(98,1),(100,1),(114,1),(185,1),(200,1),(202,1),(288,1),(357,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(42,1),(106,1),(356,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(37,1),(40,1),(42,1),(51,1),(107,1),(113,1),(182,1),(186,1),(262,1),(337,1),(393,1)}
        22:{2,4,6}:{(9,1),(12,1),(38,1),(41,1),(42,1),(43,1),(287,1),(402,1)}
        23:{1,5,7}:{(10,1),(40,1),(45,1),(401,1)}
        24:{1,4,5}:{(12,1),(41,1),(47,1),(187,1),(401,1)}
        25:{1,4,7}:{(11,1),(12,1),(42,1)}
        26:{1,3,4,6}:{(12,1),(13,1),(15,1),(43,1),(47,1),(48,1),(49,1),(112,1)}
        27:{2,4}:{(13,1),(16,1),(50,1)}
        28:{1,3,7}:{(14,1),(15,1),(51,1),(337,1)}
        29:{2,3,6}:{(15,1),(16,1),(49,1),(51,1),(52,1),(172,1)}
        30:{1,3,5}:{(16,1),(50,1),(52,1),(53,1),(114,1),(117,1)}
        31:{1,4,5,6}:{(24,1),(54,1),(57,1),(58,1),(75,1),(208,1),(214,1),(310,1),(319,1),(375,1)}
        32:{1,3,4,6}:{(17,1),(58,1),(59,1),(60,1),(123,1),(128,1),(214,1),(302,1)}
        33:{2,4,5}:{(17,1),(27,1),(55,1),(60,1),(61,1),(77,1),(129,1),(220,1),(307,1)}
        34:{1,2,6,7}:{(18,1),(62,1),(232,1),(245,1),(294,1),(303,1)}
        35:{1,2,5,6}:{(19,1),(62,1),(63,1),(82,1),(142,1),(157,1),(208,1),(217,1),(232,1),(245,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(64,1),(66,1),(140,1),(325,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(62,1),(64,1),(66,1),(81,1),(137,1),(156,1)}
        38:{1,4,6}:{(19,1),(22,1),(65,1),(66,1),(247,1)}
        39:{3,4,6,7}:{(20,1),(68,1),(72,1),(146,1),(149,1),(368,1),(382,1),(411,1)}
        40:{2,5,7}:{(20,1),(23,1),(64,1),(68,1),(69,1),(383,1)}
        41:{2,4,5}:{(22,1),(24,1),(65,1),(71,1),(77,1),(142,1),(383,1),(415,1)}
        42:{2,4,7}:{(21,1),(22,1),(25,1),(66,1),(72,1),(411,1)}
        43:{3,4,6}:{(22,1),(71,1),(72,1),(149,1),(302,1),(322,1)}
        44:{2,3,4}:{(27,1),(55,1),(74,1),(154,1),(220,1),(322,1)}
        45:{1,5,6}:{(23,1),(69,1),(75,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(25,1),(70,1),(75,1),(76,1),(233,1)}
        47:{1,3,5}:{(24,1),(26,1),(71,1),(77,1)}
        48:{1,3,4,7}:{(25,1),(26,1),(28,1),(72,1),(76,1),(78,1)}
        49:{2,4,6}:{(26,1),(27,1),(29,1),(77,1),(78,1),(79,1),(155,1)}
        50:{1,4}:{(27,1),(30,1)}
        51:{2,3,7}:{(28,1),(29,1),(78,1),(81,1),(218,1)}
        52:{1,3,6}:{(29,1),(30,1),(79,1),(81,1),(82,1)}
        53:{1,2,5}:{(30,1),(80,1),(82,1),(129,1)}
        54:{2,4,5,6}:{(31,1),(41,1),(83,1),(85,1),(86,1),(91,1),(106,1),(163,1),(167,1),(191,1),(260,1),(281,1),(341,1),(353,1),(397,1),(402,1)}
        55:{2,3,5}:{(33,1),(44,1),(87,1),(88,1),(284,1)}
        56:{1,5,6,7}:{(45,1),(84,1),(89,1),(335,1),(398,1)}
        57:{1,4,5,7}:{(31,1),(85,1),(89,1),(90,1),(252,1),(259,1),(335,1)}
        58:{1,3,5,6}:{(31,1),(32,1),(47,1),(86,1),(90,1),(91,1),(112,1),(270,1),(345,1)}
        59:{1,3,4,7}:{(32,1),(90,1),(92,1),(166,1),(171,1),(259,1),(337,1)}
        60:{2,4,6}:{(32,1),(33,1),(87,1),(91,1),(92,1),(93,1),(172,1)}
        61:{1,4,5}:{(33,1),(50,1),(88,1),(93,1),(114,1),(256,1),(334,1)}
        62:{1,2,5,7}:{(34,1),(35,1),(37,1),(96,1),(118,1),(186,1),(252,1),(262,1)}
        63:{1,2,4,6}:{(35,1),(38,1),(95,1),(96,1),(97,1),(102,1),(250,1),(260,1),(327,1)}
        64:{1,5,7}:{(36,1),(40,1),(98,1),(357,1)}
        65:{1,4,5}:{(38,1),(41,1),(100,1),(114,1),(357,1)}
        66:{1,4,7}:{(37,1),(38,1),(42,1)}
        67:{1,3,4,6}:{(38,1),(43,1),(97,1),(100,1),(101,1),(102,1),(180,1),(185,1)}
        68:{3,5,7}:{(39,1),(40,1),(103,1),(104,1),(403,1)}
        69:{2,5,6}:{(40,1),(45,1),(98,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(99,1),(104,1),(106,1),(107,1),(113,1),(186,1)}
        71:{3,5}:{(41,1),(43,1)}
        72:{3,4,7}:{(42,1),(43,1),(107,1),(337,1)}
        73:{2,3,4,6}:{(43,1),(44,1),(49,1),(87,1),(102,1),(108,1),(109,1),(110,1),(167,1),(195,1),(199,1),(248,1),(265,1),(271,1),(287,1),(338,1),(356,1),(387,1)}
        74:{1,3,4}:{(44,1),(50,1),(88,1),(111,1),(117,1),(190,1),(256,1)}
        75:{1,4,6}:{(45,1),(46,1),(106,1),(112,1),(277,1)}
        76:{1,3,5,7}:{(46,1),(47,1),(48,1),(107,1),(112,1),(113,1)}
        77:{2,5}:{(47,1),(49,1),(114,1)}
        78:{2,4,7}:{(48,1),(49,1),(51,1),(113,1),(115,1)}
        79:{1,4,6}:{(49,1),(50,1),(52,1),(114,1),(115,1),(200,1)}
        80:{1,2,4}:{(50,1),(53,1),(111,1),(117,1)}
        81:{1,3,7}:{(51,1),(52,1),(115,1),(118,1)}
        82:{1,2,6}:{(52,1),(53,1),(118,1),(172,1)}
        83:{1,4,5,6}:{(54,1),(65,1),(120,1),(121,1),(132,1),(140,1),(214,1),(319,1),(365,1),(410,1)}
        84:{2,5,6,7}:{(56,1),(69,1),(119,1),(122,1),(124,1),(299,1),(367,1),(414,1)}
        85:{2,4,5,7}:{(54,1),(57,1),(120,1),(124,1),(125,1),(131,1),(207,1),(211,1),(213,1),(299,1),(301,1),(367,1),(411,1)}
        86:{3,5,6}:{(54,1),(71,1),(123,1),(125,1),(149,1),(302,1),(370,1),(413,1)}
        87:{2,3,6}:{(55,1),(60,1),(127,1),(128,1),(302,1)}
        88:{1,3,5}:{(55,1),(61,1),(74,1),(128,1),(129,1)}
        89:{1,4,6,7}:{(56,1),(57,1),(75,1),(124,1),(130,1),(294,1),(375,1)}
        90:{1,3,5,7}:{(57,1),(58,1),(59,1),(125,1),(130,1),(131,1)}
        91:{2,5,6}:{(58,1),(60,1),(77,1),(131,1),(132,1),(155,1),(307,1),(373,1)}
        92:{2,4,7}:{(59,1),(60,1),(127,1),(131,1),(133,1),(218,1)}
        93:{1,4,6}:{(60,1),(61,1),(128,1),(132,1),(133,1)}
        94:{1,2,4,5}:{(61,1),(80,1),(129,1),(134,1),(135,1),(157,1),(220,1),(240,1),(247,1),(307,1),(310,1)}
        95:{1,2,4,5}:{(63,1),(65,1),(136,1),(142,1),(157,1),(226,1),(231,1),(240,1),(247,1),(314,1),(376,1)}
        96:{1,2,4,7}:{(62,1),(63,1),(66,1),(137,1),(143,1),(292,1),(301,1),(359,1)}
        97:{1,3,6}:{(63,1),(136,1),(137,1),(138,1),(302,1)}
        98:{1,5,6}:{(64,1),(69,1),(140,1)}
        99:{1,4,5,7}:{(64,1),(65,1),(66,1),(70,1),(140,1),(141,1),(156,1)}
       100:{1,3,5}:{(65,1),(67,1),(71,1),(142,1)}
       101:{1,3,4,7}:{(66,1),(67,1),(72,1),(137,1),(141,1),(143,1)}
       102:{2,4,6}:{(67,1),(138,1),(142,1),(143,1),(144,1),(226,1),(232,1)}
       103:{3,5,6}:{(68,1),(69,1),(146,1),(149,1)}
       104:{4,5,7}:{(68,1),(146,1),(411,1),(415,1)}
       105:{3,4,5}:{(71,1),(123,1),(148,1),(322,1),(370,1),(415,1)}
       106:{2,4,6}:{(69,1),(70,1),(75,1),(140,1),(146,1),(149,1),(155,1),(232,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(149,1)}
       108:{2,3,5}:{(71,1),(73,1),(77,1),(142,1),(148,1),(151,1),(307,1),(370,1),(383,1),(407,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(78,1),(127,1),(143,1),(150,1),(152,1),(213,1),(244,1),(290,1),(306,1),(324,1),(369,1),(406,1)}
       110:{1,3,4,6}:{(73,1),(74,1),(79,1),(128,1),(144,1),(151,1),(152,1),(153,1),(159,1),(214,1),(236,1),(241,1),(247,1),(291,1),(298,1),(302,1),(312,1),(318,1),(322,1),(325,1),(380,1),(382,1),(405,1)}
       111:{2,4}:{(74,1),(129,1),(154,1)}
       112:{1,3,6}:{(75,1),(76,1),(149,1),(155,1)}
       113:{2,5,7}:{(76,1),(77,1),(78,1),(155,1),(156,1)}
       114:{1,5}:{(77,1),(79,1)}
       115:{1,4,7}:{(78,1),(79,1),(81,1),(156,1)}
       116:{1,2,4,6}:{(79,1),(80,1),(82,1),(153,1),(157,1),(158,1),(159,1),(245,1),(247,1),(325,1),(358,1),(376,1),(405,1)}
       117:{1,3}:{(80,1),(154,1)}
       118:{1,2,7}:{(81,1),(82,1),(218,1)}
       119:{1,5,6,7}:{(84,1),(98,1),(161,1),(335,1),(420,1)}
       120:{1,4,5,7}:{(83,1),(85,1),(161,1),(162,1),(175,1),(259,1),(335,1)}
       121:{1,3,5,6}:{(83,1),(86,1),(100,1),(160,1),(162,1),(163,1),(185,1),(389,1),(419,1)}
       122:{3,5,6,7}:{(84,1),(103,1),(165,1),(168,1),(257,1),(393,1),(422,1)}
       123:{3,4,6}:{(86,1),(105,1),(166,1),(167,1),(402,1)}
       124:{2,4,6,7}:{(84,1),(85,1),(89,1),(106,1),(161,1),(165,1),(168,1),(174,1),(251,1),(397,1)}
       125:{3,5,7}:{(85,1),(86,1),(166,1),(168,1),(337,1)}
       126:{2,3,5,6}:{(86,1),(87,1),(91,1),(108,1),(163,1),(167,1),(169,1),(170,1),(195,1),(248,1),(281,1)}
       127:{2,3,7}:{(87,1),(92,1),(171,1),(337,1)}
       128:{1,3,6}:{(87,1),(88,1),(93,1),(171,1),(172,1)}
       129:{2,5}:{(88,1),(111,1),(172,1)}
       130:{1,3,6,7}:{(89,1),(90,1),(112,1),(168,1),(174,1),(345,1)}
       131:{2,5,7}:{(90,1),(91,1),(92,1),(174,1),(175,1)}
       132:{1,5,6}:{(91,1),(93,1),(114,1),(175,1),(200,1),(334,1),(392,1)}
       133:{1,4,7}:{(92,1),(93,1),(171,1),(175,1)}
       134:{1,2,4,6}:{(93,1),(94,1),(172,1),(176,1),(177,1),(178,1),(260,1),(265,1),(268,1)}
       135:{1,3,5}:{(94,1),(117,1),(173,1),(178,1),(179,1),(284,1)}
       136:{1,3,5}:{(95,1),(97,1),(180,1),(181,1),(284,1),(399,1)}
       137:{1,3,7}:{(96,1),(97,1),(182,1),(337,1)}
       138:{2,3,6}:{(97,1),(102,1),(181,1),(182,1),(183,1),(327,1)}
       139:{1,3,4,5}:{(100,1),(105,1),(160,1),(180,1),(184,1),(194,1),(275,1),(284,1),(350,1),(389,1)}
       140:{1,4,6}:{(98,1),(99,1),(106,1),(185,1),(200,1)}
       141:{1,3,5,7}:{(99,1),(100,1),(101,1),(107,1),(185,1),(186,1)}
       142:{2,5}:{(100,1),(102,1),(187,1)}
       143:{2,4,7}:{(101,1),(102,1),(182,1),(186,1),(188,1)}
       144:{1,4,6}:{(102,1),(183,1),(187,1),(188,1),(272,1),(277,1)}
       145:{1,2,4}:{(111,1),(164,1),(190,1),(256,1)}
       146:{4,6}:{(103,1),(104,1)}
       147:{3,4,5,7}:{(104,1),(105,1),(107,1),(166,1),(192,1),(193,1),(257,1),(355,1),(395,1),(403,1),(421,1)}
       148:{2,4,5}:{(105,1),(108,1),(167,1),(194,1),(287,1)}
       149:{3,6}:{(106,1),(107,1)}
       150:{2,3,5,7}:{(107,1),(108,1),(109,1),(113,1),(186,1),(193,1),(195,1),(196,1),(342,1),(395,1),(418,1)}
       151:{1,3,5}:{(108,1),(110,1),(114,1),(187,1),(194,1),(197,1),(284,1),(334,1),(357,1),(401,1),(403,1),(417,1)}
       152:{1,3,4,7}:{(109,1),(110,1),(115,1),(171,1),(188,1),(196,1),(198,1),(203,1),(259,1),(280,1),(289,1),(326,1),(333,1),(337,1),(352,1),(355,1),(416,1)}
       153:{2,4,6}:{(110,1),(111,1),(172,1),(197,1),(198,1),(199,1),(285,1),(287,1),(327,1),(346,1)}
       154:{2,3}:{(111,1),(117,1),(190,1)}
       155:{2,6}:{(112,1),(113,1),(200,1)}
       156:{1,5,7}:{(113,1),(114,1),(115,1),(200,1)}
       157:{1,2,5}:{(114,1),(116,1),(197,1),(202,1),(357,1),(417,1)}
       158:{1,2,4,7}:{(115,1),(116,1),(118,1),(198,1),(201,1),(203,1),(289,1),(384,1),(416,1)}
       159:{1,3,6}:{(116,1),(117,1),(199,1),(202,1),(203,1),(399,1)}
       160:{1,3,4,6}:{(121,1),(123,1),(139,1),(204,1),(205,1),(214,1),(291,1),(302,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(206,1),(221,1),(410,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(125,1),(204,1),(206,1),(207,1)}
       163:{2,5,6}:{(121,1),(142,1),(205,1),(207,1),(208,1),(232,1),(407,1),(424,1)}
       164:{1,2,5}:{(129,1),(145,1),(209,1),(210,1)}
       165:{4,6,7}:{(122,1),(146,1),(211,1),(411,1),(425,1)}
       166:{3,4,7}:{(123,1),(125,1),(213,1),(411,1)}
       167:{2,4,6}:{(123,1),(126,1),(148,1),(213,1),(214,1)}
       168:{3,6,7}:{(124,1),(125,1),(149,1),(413,1)}
       169:{2,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(207,1),(213,1),(215,1),(216,1),(290,1),(299,1)}
       170:{1,3,5,6}:{(126,1),(128,1),(132,1),(151,1),(208,1),(214,1),(216,1),(217,1),(241,1),(291,1),(302,1),(319,1),(381,1)}
       171:{1,3,7}:{(127,1),(128,1),(133,1),(218,1)}
       172:{2,6}:{(128,1),(129,1),(218,1)}
       173:{2,3,5}:{(129,1),(135,1),(154,1),(210,1),(219,1),(220,1),(307,1)}
       174:{2,6,7}:{(130,1),(131,1),(155,1),(221,1),(373,1)}
       175:{1,5,7}:{(131,1),(132,1),(133,1),(221,1)}
       176:{1,2,5,6}:{(132,1),(134,1),(157,1),(217,1),(222,1),(223,1),(245,1),(307,1),(358,1),(373,1)}
       177:{1,2,4,7}:{(133,1),(134,1),(218,1),(222,1),(224,1),(301,1),(306,1),(309,1)}
       178:{1,3,6}:{(134,1),(135,1),(219,1),(224,1),(302,1)}
       179:{1,3,4}:{(135,1),(220,1),(247,1),(322,1)}
       180:{1,3,4}:{(136,1),(226,1),(247,1),(322,1)}
       181:{2,3,5}:{(136,1),(138,1),(142,1),(226,1),(227,1),(314,1),(377,1)}
       182:{2,3,7}:{(137,1),(138,1),(143,1),(228,1),(359,1)}
       183:{1,3,6}:{(138,1),(144,1),(227,1),(228,1),(229,1)}
       184:{2,4,5}:{(139,1),(142,1),(205,1),(226,1),(230,1),(231,1),(314,1),(379,1),(407,1)}
       185:{1,3,6}:{(140,1),(141,1),(149,1),(232,1)}
       186:{2,5,7}:{(141,1),(142,1),(143,1),(232,1),(233,1)}
       187:{1,5}:{(142,1),(144,1)}
       188:{1,4,7}:{(143,1),(144,1),(228,1),(233,1)}
       189:{1,2,4,6}:{(144,1),(145,1),(153,1),(209,1),(229,1),(234,1),(235,1),(236,1),(298,1),(313,1),(316,1),(318,1),(380,1)}
       190:{1,3}:{(145,1),(154,1)}
       191:{4,5,6}:{(146,1),(211,1),(237,1),(415,1),(425,1)}
       192:{3,4,6}:{(146,1),(147,1),(149,1),(237,1),(238,1),(413,1),(425,1)}
       193:{2,4,5,7}:{(147,1),(148,1),(150,1),(213,1),(238,1),(239,1),(299,1),(324,1),(383,1)}
       194:{1,4,5}:{(148,1),(151,1),(214,1),(240,1),(247,1),(318,1),(415,1)}
       195:{2,3,6}:{(149,1),(150,1),(155,1),(232,1),(238,1),(241,1),(373,1),(413,1),(424,1)}
       196:{1,3,5,7}:{(150,1),(151,1),(152,1),(156,1),(233,1),(239,1),(241,1),(242,1),(321,1),(366,1),(423,1)}
       197:{2,5}:{(151,1),(153,1)}
       198:{2,4,7}:{(152,1),(153,1),(218,1),(242,1),(244,1),(359,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(236,1),(243,1),(244,1),(302,1),(377,1)}
       200:{1,6}:{(155,1),(156,1)}
       201:{1,2,5,7}:{(156,1),(157,1),(158,1),(242,1),(245,1),(246,1),(423,1)}
       202:{1,3,5}:{(157,1),(159,1),(243,1),(247,1)}
       203:{1,3,7}:{(158,1),(159,1),(244,1)}
       204:{1,3,4,7}:{(160,1),(162,1),(166,1),(249,1),(259,1),(326,1),(337,1)}
       205:{2,4,6}:{(160,1),(163,1),(184,1),(248,1),(249,1),(250,1),(327,1)}
       206:{1,3,6,7}:{(161,1),(162,1),(168,1),(185,1),(251,1),(419,1)}
       207:{2,5,7}:{(162,1),(163,1),(249,1),(251,1),(252,1)}
       208:{1,5,6}:{(163,1),(187,1),(250,1),(252,1),(277,1),(417,1),(426,1)}
       209:{1,2,6}:{(164,1),(172,1),(254,1),(255,1)}
       210:{1,3,5}:{(164,1),(173,1),(190,1),(255,1),(256,1),(334,1)}
       211:{4,5,7}:{(165,1),(191,1),(257,1)}
       212:{3,4,6,7}:{(165,1),(166,1),(168,1),(192,1),(257,1),(258,1)}
       213:{2,4,7}:{(166,1),(167,1),(169,1),(259,1)}
       214:{1,4,6}:{(167,1),(170,1),(194,1),(259,1),(260,1),(402,1)}
       215:{2,3,6,7}:{(168,1),(169,1),(174,1),(195,1),(251,1),(258,1),(261,1)}
       216:{1,3,5,7}:{(169,1),(170,1),(171,1),(175,1),(252,1),(259,1),(261,1),(262,1),(326,1),(335,1),(337,1),(393,1)}
       217:{2,5,6}:{(170,1),(172,1),(197,1),(260,1),(262,1),(285,1),(327,1)}
       218:{2,7}:{(171,1),(172,1)}
       219:{2,3,6}:{(172,1),(173,1),(178,1),(255,1),(264,1),(265,1)}
       220:{2,4}:{(173,1),(179,1),(256,1)}
       221:{1,6,7}:{(174,1),(175,1),(200,1),(392,1)}
       222:{1,2,5,7}:{(175,1),(176,1),(177,1),(262,1),(266,1),(267,1),(342,1),(384,1)}
       223:{1,3,5,6}:{(176,1),(178,1),(202,1),(263,1),(267,1),(268,1),(270,1),(288,1),(345,1),(357,1),(385,1),(398,1),(417,1),(426,1)}
       224:{1,3,7}:{(177,1),(178,1),(264,1),(337,1)}
       225:{1,3,4,6}:{(178,1),(179,1),(265,1),(268,1),(269,1),(270,1),(338,1),(345,1)}
       226:{2,4}:{(180,1),(181,1),(272,1)}
       227:{1,3,5}:{(181,1),(183,1),(187,1),(272,1),(273,1),(347,1)}
       228:{1,3,7}:{(182,1),(183,1),(188,1),(274,1)}
       229:{1,2,6}:{(183,1),(273,1),(274,1),(327,1)}
       230:{2,3,5}:{(184,1),(248,1),(271,1),(275,1),(284,1)}
       231:{1,4,5}:{(184,1),(187,1),(250,1),(272,1),(275,1),(400,1),(417,1)}
       232:{2,6}:{(185,1),(186,1),(277,1)}
       233:{1,5,7}:{(186,1),(187,1),(188,1),(277,1)}
       234:{1,2,5}:{(187,1),(189,1),(197,1),(279,1),(334,1),(401,1)}
       235:{1,2,4,7}:{(188,1),(189,1),(198,1),(254,1),(274,1),(278,1),(280,1),(333,1),(352,1)}
       236:{1,3,6}:{(189,1),(190,1),(199,1),(279,1),(280,1),(347,1)}
       237:{3,5,6}:{(191,1),(192,1),(257,1),(281,1),(403,1)}
       238:{2,4,6}:{(192,1),(193,1),(195,1),(281,1),(282,1)}
       239:{1,4,5,7}:{(193,1),(194,1),(196,1),(259,1),(282,1),(283,1),(289,1),(335,1),(352,1),(357,1),(401,1)}
       240:{2,4,5}:{(194,1),(197,1),(260,1),(284,1),(287,1)}
       241:{1,3,6}:{(195,1),(196,1),(200,1),(277,1),(282,1),(285,1),(354,1),(392,1),(426,1)}
       242:{2,5,7}:{(196,1),(197,1),(198,1),(285,1)}
       243:{2,3,5}:{(197,1),(199,1),(202,1),(279,1),(284,1),(287,1)}
       244:{2,3,7}:{(198,1),(199,1),(203,1),(280,1),(337,1)}
       245:{1,2,6}:{(200,1),(201,1),(285,1),(288,1),(426,1)}
       246:{1,3,5,7}:{(201,1),(202,1),(203,1),(286,1),(288,1),(289,1),(357,1)}
       247:{1,4}:{(202,1),(287,1)}
       248:{2,3,6}:{(205,1),(230,1),(290,1),(291,1),(302,1)}
       249:{2,4,7}:{(204,1),(205,1),(207,1),(290,1),(292,1),(359,1)}
       250:{1,4,6}:{(205,1),(208,1),(231,1),(291,1),(292,1)}
       251:{2,6,7}:{(206,1),(207,1),(232,1),(294,1),(424,1)}
       252:{1,5,7}:{(207,1),(208,1),(292,1),(294,1)}
       253:{1,2,5,6}:{(208,1),(209,1),(217,1),(234,1),(293,1),(295,1),(296,1),(316,1),(407,1),(424,1)}
       254:{1,2,7}:{(209,1),(218,1),(297,1)}
       255:{1,3,6}:{(209,1),(210,1),(219,1),(297,1),(298,1)}
       256:{1,4}:{(210,1),(220,1)}
       257:{3,5,7}:{(211,1),(212,1),(237,1),(299,1)}
       258:{2,4,6,7}:{(212,1),(213,1),(215,1),(238,1),(299,1),(300,1)}
       259:{1,4,7}:{(213,1),(214,1),(216,1),(301,1),(411,1)}
       260:{2,4,6}:{(214,1),(217,1),(240,1),(301,1),(302,1)}
       261:{1,3,6,7}:{(215,1),(216,1),(221,1),(241,1),(294,1),(300,1),(303,1),(368,1)}
       262:{2,5,7}:{(216,1),(217,1),(218,1),(301,1),(303,1),(359,1)}
       263:{2,3,5,6}:{(217,1),(219,1),(223,1),(243,1),(296,1),(302,1),(304,1),(305,1),(307,1),(323,1),(360,1),(370,1),(373,1),(381,1),(383,1),(407,1),(413,1),(414,1),(424,1)}
       264:{2,3,7}:{(218,1),(219,1),(224,1),(297,1),(306,1)}
       265:{2,4,6}:{(219,1),(220,1),(225,1),(298,1),(306,1),(307,1),(373,1)}
       266:{1,2,6,7}:{(221,1),(222,1),(245,1),(303,1),(308,1),(373,1)}
       267:{1,3,5,7}:{(222,1),(223,1),(224,1),(304,1),(308,1),(309,1),(374,1),(404,1),(423,1)}
       268:{1,4,6}:{(223,1),(247,1),(305,1),(309,1),(310,1)}
       269:{1,3,4,7}:{(224,1),(225,1),(306,1),(309,1),(311,1),(369,1)}
       270:{1,3,5}:{(225,1),(307,1),(310,1),(370,1)}
       271:{2,3,4}:{(226,1),(230,1),(312,1),(322,1),(377,1),(379,1)}
       272:{1,4}:{(226,1),(227,1)}
       273:{1,2,5}:{(227,1),(229,1),(313,1),(314,1)}
       274:{1,2,7}:{(228,1),(229,1),(359,1)}
       275:{1,3,5}:{(230,1),(231,1),(291,1),(312,1),(314,1)}
       276:{1,2,4,5}:{(231,1),(234,1),(240,1),(293,1),(313,1),(314,1),(315,1),(318,1),(365,1),(379,1),(407,1)}
       277:{1,6}:{(232,1),(233,1)}
       278:{1,2,5,7}:{(233,1),(234,1),(235,1),(242,1),(316,1),(317,1),(366,1)}
       279:{1,3,5}:{(234,1),(236,1),(243,1),(318,1)}
       280:{1,3,7}:{(235,1),(236,1),(244,1)}
       281:{2,5,6}:{(237,1),(238,1),(299,1),(319,1),(383,1)}
       282:{1,4,6}:{(238,1),(239,1),(241,1),(319,1),(320,1)}
       283:{2,4,5,7}:{(239,1),(240,1),(242,1),(301,1),(320,1),(321,1),(324,1),(367,1),(383,1),(411,1),(415,1)}
       284:{3,5}:{(240,1),(302,1),(322,1)}
       285:{2,6}:{(241,1),(242,1)}
       286:{2,3,5,7}:{(242,1),(243,1),(244,1),(246,1),(317,1),(321,1),(323,1),(324,1),(383,1)}
       287:{2,4}:{(243,1),(247,1),(318,1),(322,1)}
       288:{1,3,6}:{(245,1),(246,1),(323,1),(325,1)}
       289:{1,4,7}:{(246,1),(247,1),(324,1),(325,1)}
       290:{2,3,7}:{(248,1),(249,1),(326,1),(337,1)}
       291:{1,3,6}:{(248,1),(250,1),(275,1),(326,1),(327,1)}
       292:{1,4,7}:{(249,1),(250,1),(252,1),(326,1)}
       293:{1,2,4,6}:{(250,1),(253,1),(260,1),(276,1),(327,1),(328,1),(329,1),(332,1),(387,1)}
       294:{1,6,7}:{(251,1),(252,1),(277,1),(426,1)}
       295:{1,2,5,7}:{(252,1),(253,1),(254,1),(262,1),(328,1),(330,1),(331,1),(418,1)}
       296:{1,3,5,6}:{(253,1),(255,1),(263,1),(279,1),(329,1),(331,1),(332,1),(334,1),(351,1),(389,1),(392,1),(401,1),(419,1),(420,1)}
       297:{1,3,7}:{(254,1),(255,1),(264,1),(333,1)}
       298:{1,4,6}:{(255,1),(256,1),(265,1),(333,1),(334,1),(392,1)}
       299:{2,5,7}:{(257,1),(258,1),(281,1),(335,1)}
       300:{1,4,6,7}:{(258,1),(259,1),(261,1),(282,1),(335,1),(336,1)}
       301:{2,4,7}:{(259,1),(260,1),(262,1),(337,1)}
       302:{3,6}:{(260,1),(284,1),(337,1)}
       303:{2,6,7}:{(261,1),(262,1),(285,1)}
       304:{2,3,5,7}:{(262,1),(263,1),(264,1),(267,1),(331,1),(337,1),(339,1),(340,1),(342,1),(386,1),(393,1),(395,1),(396,1),(418,1)}
       305:{2,4,6}:{(263,1),(268,1),(287,1),(332,1),(338,1),(340,1),(341,1),(402,1)}
       306:{2,4,7}:{(264,1),(265,1),(269,1),(333,1),(342,1)}
       307:{2,5}:{(265,1),(270,1),(334,1)}
       308:{1,3,6,7}:{(266,1),(267,1),(288,1),(339,1),(343,1),(345,1),(426,1)}
       309:{1,4,7}:{(267,1),(268,1),(340,1)}
       310:{1,4,5}:{(268,1),(270,1),(341,1),(357,1),(417,1)}
       311:{1,3,5,7}:{(269,1),(270,1),(342,1),(344,1),(345,1),(395,1)}
       312:{1,3,4}:{(271,1),(272,1),(275,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(272,1),(273,1),(346,1),(347,1)}
       314:{2,5}:{(275,1),(327,1),(346,1)}
       315:{1,3,5}:{(276,1),(284,1),(329,1),(347,1),(349,1),(350,1)}
       316:{1,2,6}:{(277,1),(278,1),(285,1),(351,1),(392,1)}
       317:{1,3,5,7}:{(278,1),(279,1),(280,1),(286,1),(351,1),(352,1),(401,1)}
       318:{1,4}:{(279,1),(287,1)}
       319:{1,5,6}:{(281,1),(282,1),(335,1),(353,1),(357,1),(401,1)}
       320:{2,4,6}:{(282,1),(283,1),(285,1),(353,1),(354,1),(402,1)}
       321:{3,5,7}:{(283,1),(284,1),(337,1),(354,1),(355,1),(403,1)}
       322:{3,4}:{(284,1),(287,1)}
       323:{2,3,6}:{(285,1),(286,1),(288,1),(351,1),(354,1),(356,1)}
       324:{2,4,7}:{(286,1),(287,1),(289,1),(352,1),(355,1),(356,1)}
       325:{1,4,6}:{(288,1),(289,1),(356,1),(357,1)}
       326:{1,3,7}:{(290,1),(291,1),(292,1),(359,1)}
       327:{2,6}:{(291,1),(314,1),(359,1)}
       328:{1,2,4,7}:{(292,1),(293,1),(295,1),(301,1),(359,1),(361,1),(364,1),(406,1)}
       329:{1,3,6}:{(293,1),(302,1),(315,1),(360,1),(361,1)}
       330:{1,2,6,7}:{(294,1),(295,1),(303,1),(316,1),(363,1),(424,1)}
       331:{1,3,5,7}:{(295,1),(296,1),(297,1),(304,1),(361,1),(363,1),(364,1),(366,1),(409,1)}
       332:{1,4,6}:{(296,1),(305,1),(318,1),(364,1),(365,1)}
       333:{1,4,7}:{(297,1),(298,1),(306,1),(366,1)}
       334:{1,5}:{(298,1),(307,1)}
       335:{1,5,7}:{(299,1),(300,1),(319,1),(367,1)}
       336:{2,4,6,7}:{(300,1),(301,1),(303,1),(320,1),(367,1),(368,1),(411,1)}
       337:{3,7}:{(301,1),(302,1)}
       338:{3,4,6}:{(302,1),(305,1),(322,1),(369,1),(370,1),(413,1)}
       339:{2,3,6,7}:{(303,1),(304,1),(308,1),(323,1),(363,1),(368,1),(371,1),(373,1),(413,1),(424,1)}
       340:{2,4,7}:{(304,1),(305,1),(309,1),(364,1),(369,1),(411,1)}
       341:{2,4,5}:{(305,1),(307,1),(310,1),(365,1),(370,1),(383,1),(407,1),(415,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,6,7}:{(308,1),(309,1),(325,1),(371,1),(374,1),(375,1)}
       344:{1,4,5,7}:{(309,1),(310,1),(311,1),(372,1),(374,1),(375,1),(423,1)}
       345:{1,3,6}:{(311,1),(373,1),(375,1),(413,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(360,1),(377,1),(378,1),(379,1),(407,1)}
       350:{1,3,4}:{(315,1),(318,1),(322,1),(379,1)}
       351:{1,3,6}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,4,7}:{(317,1),(318,1),(324,1),(380,1)}
       353:{2,5,6}:{(319,1),(320,1),(367,1),(381,1),(383,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(382,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(382,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(327,1),(348,1),(384,1),(385,1)}
       359:{2,7}:{(326,1),(327,1)}
       360:{2,3,6}:{(327,1),(329,1),(349,1),(385,1),(386,1),(387,1)}
       361:{1,3,7}:{(328,1),(329,1),(337,1),(386,1)}
       362:{1,3,4,6}:{(329,1),(332,1),(338,1),(350,1),(387,1),(388,1),(389,1),(419,1)}
       363:{1,3,6,7}:{(330,1),(331,1),(339,1),(351,1),(390,1),(392,1),(419,1)}
       364:{1,4,7}:{(331,1),(332,1),(340,1)}
       365:{1,4,5}:{(332,1),(334,1),(341,1),(389,1),(401,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{2,5,7}:{(335,1),(336,1),(353,1),(393,1)}
       368:{3,6,7}:{(336,1),(337,1),(354,1),(393,1)}
       369:{3,4,7}:{(337,1),(338,1),(340,1),(395,1)}
       370:{3,5}:{(338,1),(341,1)}
       371:{2,4,6,7}:{(339,1),(340,1),(343,1),(356,1),(390,1),(394,1),(396,1),(397,1)}
       372:{2,4,5,7}:{(340,1),(341,1),(342,1),(344,1),(391,1),(395,1),(396,1),(397,1),(418,1),(421,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,5,7}:{(343,1),(357,1),(396,1),(398,1)}
       375:{1,4,6}:{(344,1),(345,1),(397,1),(398,1),(426,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(385,1),(399,1),(400,1),(417,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,5,6}:{(353,1),(354,1),(393,1),(402,1),(403,1)}
       382:{3,4,6}:{(354,1),(355,1),(356,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(403,1)}
       384:{1,2,7}:{(358,1),(359,1),(404,1)}
       385:{1,3,6}:{(358,1),(360,1),(378,1),(404,1),(405,1)}
       386:{2,3,7}:{(359,1),(360,1),(361,1),(404,1),(406,1)}
       387:{2,4,6}:{(360,1),(362,1),(379,1),(405,1),(406,1),(407,1),(424,1)}
       388:{1,3,4,7}:{(361,1),(362,1),(364,1),(369,1),(406,1),(408,1)}
       389:{1,3,5}:{(362,1),(365,1),(370,1),(407,1)}
       390:{1,4,6,7}:{(363,1),(364,1),(371,1),(380,1),(409,1),(410,1)}
       391:{1,4,5,7}:{(364,1),(365,1),(366,1),(372,1),(408,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(381,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(371,1),(382,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(372,1),(413,1)}
       396:{2,5,7}:{(371,1),(374,1),(383,1),(409,1),(412,1),(414,1)}
       397:{2,4,6}:{(372,1),(373,1),(375,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{4,6}:{(381,1),(411,1),(415,1)}
       403:{3,5}:{(382,1),(383,1),(415,1)}
       404:{1,3,7}:{(384,1),(385,1),(386,1),(416,1)}
       405:{1,4,6}:{(385,1),(387,1),(400,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(386,1),(387,1),(388,1),(416,1),(418,1)}
       407:{2,5}:{(387,1),(389,1),(417,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(391,1),(395,1),(418,1),(419,1)}
       409:{1,5,7}:{(390,1),(396,1),(401,1),(420,1)}
       410:{1,4,6}:{(391,1),(392,1),(397,1),(419,1),(420,1)}
       411:{4,7}:{(393,1),(402,1)}
       412:{3,5,7}:{(394,1),(396,1),(403,1),(421,1),(422,1)}
       413:{3,6}:{(395,1),(397,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(422,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 541 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(31,1),(40,1),(41,1),(44,1),(74,1),(85,1),(93,1),(157,1),(159,1),(211,1),(223,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(120,1),(129,1),(191,1),(194,1),(242,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(53,1),(107,1),(127,1),(181,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(223,1),(225,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(78,1),(139,1),(211,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(74,1),(86,1),(158,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(83,1),(90,1),(144,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(51,1),(62,1),(115,1),(124,1),(125,1),(129,1),(177,1),(178,1),(188,1),(194,1),(242,1),(250,1),(288,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(242,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(113,1),(176,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(107,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(191,1),(200,1),(203,1),(256,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(40,1),(74,1),(79,1),(89,1),(141,1),(142,1),(159,1),(211,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(75,1),(91,1),(145,1),(146,1),(162,1),(215,1),(274,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(100,1),(141,1),(142,1),(168,1),(225,1),(268,1),(269,1),(297,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(139,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(74,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(144,1),(158,1),(162,1),(166,1),(169,1),(215,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(129,1),(194,1),(197,1),(242,1),(288,1),(307,1)}
        30:{1,3,4,6,7}:{(17,1),(50,1),(51,1),(104,1),(111,1),(177,1),(178,1),(184,1),(242,1)}
        31:{1,4,5,7}:{(16,1),(20,1),(48,1),(53,1),(65,1),(113,1),(124,1),(172,1),(177,1),(237,1)}
        32:{2,4,6}:{(16,1),(17,1),(49,1),(53,1),(54,1),(107,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(51,1),(54,1),(55,1),(119,1),(188,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(48,1),(56,1),(57,1),(63,1),(120,1),(172,1),(177,1),(202,1),(242,1),(289,1),(308,1)}
        35:{2,3,4,6}:{(18,1),(21,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(179,1),(193,1),(245,1),(246,1),(254,1),(285,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(56,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(176,1),(197,1),(201,1),(242,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(107,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(193,1)}
        48:{1,3,5,7}:{(29,1),(31,1),(34,1),(74,1),(75,1),(88,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(32,1),(75,1),(162,1),(215,1),(228,1),(302,1),(312,1)}
        50:{2,4,6,7}:{(30,1),(32,1),(73,1),(78,1),(79,1),(139,1),(141,1),(211,1)}
        51:{1,3,5,7}:{(30,1),(33,1),(79,1),(80,1),(152,1)}
        52:{1,2,4,5,7}:{(31,1),(38,1),(74,1),(81,1),(82,1),(95,1),(142,1),(150,1),(159,1),(164,1),(211,1),(213,1),(219,1),(221,1),(267,1),(313,1)}
        53:{1,4,6}:{(31,1),(32,1),(75,1),(83,1)}
        54:{2,5,6}:{(32,1),(33,1),(40,1),(79,1),(83,1),(213,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(80,1),(84,1),(91,1),(145,1),(221,1),(222,1),(274,1)}
        56:{2,4,7}:{(34,1),(74,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(39,1),(75,1),(87,1),(88,1),(94,1),(145,1),(156,1),(164,1),(170,1),(206,1),(215,1),(223,1),(225,1),(272,1),(277,1),(300,1)}
        58:{2,3,5}:{(35,1),(40,1),(88,1),(89,1),(97,1),(166,1),(213,1),(271,1),(299,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(86,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(87,1),(94,1),(95,1),(164,1),(300,1),(301,1),(304,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(139,1),(228,1),(273,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(144,1),(166,1),(222,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(215,1),(225,1)}
        73:{2,3,6,7}:{(49,1),(50,1),(104,1),(105,1),(184,1),(242,1),(248,1)}
        74:{2,5,7}:{(48,1),(56,1),(107,1),(123,1)}
        75:{1,3,6}:{(48,1),(49,1),(53,1),(107,1),(256,1),(314,1)}
        76:{2,3,5,6}:{(49,1),(54,1),(58,1),(105,1),(108,1),(109,1),(119,1),(190,1),(246,1)}
        77:{1,3,5,6,7}:{(51,1),(59,1),(110,1),(111,1),(184,1),(249,1)}
        78:{1,4,6,7}:{(50,1),(53,1),(104,1),(113,1),(177,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1),(113,1)}
        80:{1,4,5,7}:{(51,1),(55,1),(111,1),(114,1),(177,1),(251,1)}
        81:{1,3,5,7}:{(52,1),(63,1),(106,1),(115,1),(116,1),(130,1),(188,1),(194,1),(242,1),(288,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(107,1),(116,1),(117,1),(179,1),(181,1),(189,1),(287,1),(314,1)}
        83:{1,5,6}:{(53,1),(54,1),(65,1),(113,1),(237,1)}
        84:{2,4,5,6}:{(54,1),(55,1),(66,1),(109,1),(114,1),(118,1),(119,1),(127,1),(181,1),(190,1),(244,1),(287,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(172,1),(202,1),(259,1)}
        86:{2,3,7}:{(56,1),(63,1),(120,1),(122,1),(242,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(65,1),(123,1),(124,1),(194,1),(200,1),(237,1),(310,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(122,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(123,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(176,1),(197,1),(251,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(242,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(181,1),(247,1),(290,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(74,1),(85,1),(137,1),(138,1),(157,1),(229,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(78,1),(139,1),(140,1),(273,1)}
       105:{2,3,5,7}:{(73,1),(76,1),(79,1),(140,1),(141,1),(152,1),(220,1),(269,1)}
       106:{2,3,5,7}:{(74,1),(81,1),(86,1),(137,1),(142,1),(143,1),(158,1),(213,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(83,1),(88,1),(140,1),(144,1),(145,1),(215,1),(222,1),(272,1)}
       109:{2,4,6}:{(76,1),(89,1),(141,1),(145,1),(146,1)}
       110:{2,5,6,7}:{(77,1),(79,1),(90,1),(147,1),(148,1),(266,1)}
       111:{1,4,6,7}:{(77,1),(80,1),(91,1),(148,1),(273,1),(274,1)}
       112:{1,2,4,6,7}:{(78,1),(82,1),(139,1),(149,1),(150,1),(209,1),(211,1),(219,1)}
       113:{1,5,7}:{(78,1),(79,1),(83,1)}
       114:{2,4,5,7}:{(79,1),(80,1),(84,1),(141,1),(148,1),(151,1),(152,1),(211,1),(220,1)}
       115:{1,3,4,7}:{(81,1),(142,1),(153,1),(164,1),(219,1),(225,1),(268,1)}
       116:{1,3,6}:{(81,1),(82,1),(143,1),(215,1),(302,1)}
       117:{1,2,5,6}:{(82,1),(83,1),(95,1),(144,1),(150,1),(154,1),(213,1),(266,1),(301,1)}
       118:{1,4,5,6}:{(83,1),(84,1),(96,1),(145,1),(151,1),(155,1),(161,1),(263,1),(295,1)}
       119:{3,5,6}:{(84,1),(97,1),(146,1),(152,1),(162,1),(215,1),(271,1),(302,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(206,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(94,1),(156,1),(158,1),(215,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(145,1),(159,1),(164,1),(223,1)}
       125:{3,4,5}:{(89,1),(97,1),(146,1),(225,1),(271,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(158,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(159,1),(164,1),(165,1),(166,1),(227,1),(230,1),(278,1),(304,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(211,1),(270,1),(303,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(215,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(106,1),(120,1),(172,1),(173,1),(191,1),(237,1)}
       138:{1,2,6}:{(103,1),(107,1),(173,1),(256,1)}
       139:{2,6,7}:{(104,1),(107,1),(176,1)}
       140:{1,3,5,7}:{(104,1),(105,1),(108,1),(113,1),(176,1),(177,1),(242,1),(251,1),(289,1)}
       141:{2,4,7}:{(105,1),(109,1),(177,1),(178,1)}
       142:{2,4,7}:{(106,1),(115,1),(172,1),(179,1),(193,1)}
       143:{2,3,6}:{(106,1),(107,1),(116,1),(173,1),(179,1)}
       144:{2,5,6}:{(107,1),(108,1),(123,1),(176,1),(181,1),(290,1)}
       145:{1,4,6}:{(108,1),(109,1),(124,1),(177,1),(181,1)}
       146:{3,4,6}:{(109,1),(119,1),(125,1),(178,1)}
       147:{1,5,6,7}:{(110,1),(113,1),(126,1),(183,1),(280,1)}
       148:{2,4,6,7}:{(110,1),(111,1),(114,1),(127,1),(183,1),(184,1),(248,1),(287,1)}
       149:{1,3,6,7}:{(112,1),(116,1),(175,1),(186,1),(242,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(117,1),(176,1),(186,1),(240,1),(309,1)}
       151:{1,4,5,7}:{(113,1),(114,1),(118,1),(177,1),(183,1),(187,1)}
       152:{3,5,7}:{(114,1),(119,1),(178,1),(184,1),(242,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(179,1),(188,1),(189,1),(245,1)}
       154:{1,3,5,6}:{(116,1),(117,1),(130,1),(180,1),(186,1),(188,1),(189,1),(286,1),(310,1),(314,1)}
       155:{1,3,5,6}:{(118,1),(119,1),(132,1),(182,1),(187,1),(190,1),(196,1),(284,1),(306,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(237,1)}
       158:{2,3,5}:{(122,1),(123,1),(130,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(181,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(132,1),(182,1),(194,1),(195,1),(198,1),(252,1),(255,1),(284,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(193,1)}
       165:{1,3,5}:{(131,1),(135,1),(194,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(242,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(290,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(139,1),(204,1),(205,1),(273,1),(312,1)}
       172:{1,4,7}:{(137,1),(142,1),(206,1),(223,1)}
       173:{1,3,6}:{(137,1),(138,1),(143,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(144,1),(157,1),(205,1),(207,1),(208,1),(222,1),(299,1),(312,1)}
       175:{2,3,6,7}:{(139,1),(143,1),(149,1),(204,1),(209,1),(210,1),(302,1),(312,1)}
       176:{2,5,7}:{(139,1),(140,1),(144,1),(211,1),(303,1)}
       177:{1,4,7}:{(140,1),(141,1),(145,1),(211,1)}
       178:{3,4,7}:{(141,1),(146,1),(152,1)}
       179:{2,4,6}:{(142,1),(143,1),(153,1),(206,1),(213,1)}
       180:{2,3,5,6}:{(143,1),(144,1),(154,1),(158,1),(207,1),(210,1),(213,1),(214,1),(215,1),(265,1),(266,1),(271,1),(299,1),(302,1),(312,1)}
       181:{2,4,6}:{(144,1),(145,1),(159,1),(211,1),(215,1)}
       182:{1,3,4,6}:{(145,1),(146,1),(155,1),(160,1),(212,1),(215,1),(216,1),(272,1)}
       183:{1,4,6,7}:{(147,1),(148,1),(151,1),(161,1),(217,1),(295,1)}
       184:{3,6,7}:{(148,1),(152,1),(162,1),(302,1)}
       185:{1,3,4,6,7}:{(149,1),(153,1),(209,1),(218,1),(219,1),(268,1),(274,1),(302,1)}
       186:{1,3,5,7}:{(149,1),(150,1),(154,1),(210,1),(219,1),(298,1),(313,1)}
       187:{1,3,5,7}:{(151,1),(152,1),(155,1),(212,1),(217,1),(220,1)}
       188:{1,3,5}:{(153,1),(213,1),(221,1),(271,1)}
       189:{1,4,6}:{(154,1),(164,1),(214,1),(219,1),(221,1)}
       190:{2,5,6}:{(155,1),(166,1),(216,1),(220,1),(222,1),(228,1),(299,1),(312,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(263,1),(275,1),(278,1),(279,1),(299,1)}
       193:{2,4}:{(158,1),(164,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(215,1),(225,1)}
       195:{2,4,5}:{(160,1),(166,1),(216,1),(226,1),(227,1),(230,1),(275,1),(278,1),(299,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(225,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(278,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(175,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(176,1),(235,1),(236,1),(251,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(179,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(180,1),(191,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(181,1),(192,1),(236,1),(238,1),(239,1),(247,1),(285,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(179,1),(185,1),(234,1),(240,1),(241,1),(287,1)}
       210:{2,3,5,7}:{(175,1),(176,1),(180,1),(186,1),(235,1),(240,1),(241,1),(242,1),(283,1),(288,1),(307,1)}
       211:{2,4,7}:{(176,1),(177,1),(181,1),(242,1)}
       212:{1,3,4,7}:{(177,1),(178,1),(182,1),(187,1),(242,1),(243,1),(289,1)}
       213:{2,5}:{(179,1),(188,1),(237,1)}
       214:{2,4,6}:{(180,1),(189,1),(193,1),(238,1),(241,1),(244,1),(245,1)}
       215:{3,6}:{(181,1),(194,1),(242,1)}
       216:{2,4,6}:{(182,1),(190,1),(195,1),(243,1),(246,1),(247,1),(290,1)}
       217:{1,3,6,7}:{(183,1),(184,1),(187,1),(196,1),(248,1),(306,1)}
       218:{1,3,5,7}:{(185,1),(188,1),(240,1),(249,1),(250,1),(288,1)}
       219:{1,4,7}:{(186,1),(189,1),(241,1)}
       220:{2,5,7}:{(187,1),(190,1),(243,1),(248,1),(251,1)}
       221:{1,4,5}:{(188,1),(189,1),(244,1),(310,1)}
       222:{1,5,6}:{(190,1),(200,1),(247,1),(251,1),(256,1),(310,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(246,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(257,1),(291,1),(310,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(209,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(210,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(211,1),(261,1),(262,1),(270,1),(297,1),(303,1)}
       237:{1,5}:{(206,1),(213,1)}
       238:{1,4,6}:{(207,1),(214,1),(223,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(215,1),(224,1),(262,1),(265,1)}
       240:{2,5,7}:{(209,1),(213,1),(218,1),(260,1),(266,1)}
       241:{2,4,7}:{(210,1),(214,1),(219,1),(261,1),(268,1)}
       242:{3,7}:{(211,1),(215,1)}
       243:{2,4,7}:{(212,1),(216,1),(220,1),(269,1),(270,1),(303,1)}
       244:{2,4,5}:{(213,1),(214,1),(221,1),(263,1),(271,1),(299,1)}
       245:{3,4,6}:{(214,1),(215,1),(225,1),(268,1),(271,1),(302,1)}
       246:{2,3,6}:{(215,1),(216,1),(226,1),(269,1),(272,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(270,1),(272,1)}
       248:{2,6,7}:{(217,1),(220,1),(228,1),(273,1),(312,1)}
       249:{1,3,5,6}:{(218,1),(266,1),(274,1),(302,1)}
       250:{1,4,5,7}:{(218,1),(219,1),(221,1),(267,1),(274,1),(313,1)}
       251:{1,5,7}:{(220,1),(222,1),(270,1),(273,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(299,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(230,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(272,1),(277,1),(278,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(278,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(237,1),(240,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(241,1)}
       262:{1,3,7}:{(236,1),(239,1),(242,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(244,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(245,1),(252,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(253,1),(283,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(249,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(244,1),(250,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       269:{2,3,7}:{(242,1),(243,1),(246,1),(289,1)}
       270:{1,4,7}:{(243,1),(247,1),(251,1),(289,1)}
       271:{3,5}:{(244,1),(245,1)}
       272:{1,3,6}:{(246,1),(247,1),(255,1),(289,1),(290,1)}
       273:{1,6,7}:{(248,1),(251,1),(256,1),(314,1)}
       274:{1,4,6}:{(249,1),(250,1),(287,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(257,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(267,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(268,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(303,1)}
       284:{1,3,5}:{(263,1),(264,1),(271,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(275,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(276,1),(298,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(274,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(271,1),(302,1)}
       289:{1,3,7}:{(269,1),(270,1),(272,1),(303,1)}
       290:{2,6}:{(272,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(288,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(291,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(309,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(303,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 542 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 543 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 544 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 545 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 546 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 547 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 548 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(32,1),(39,1),(41,1),(47,1),(73,1),(74,1),(95,1),(140,1),(150,1),(209,1),(215,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(104,1),(132,1),(175,1),(186,1),(246,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(54,1),(107,1),(131,1),(181,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(209,1),(219,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(74,1),(78,1),(149,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(216,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(84,1),(143,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(85,1),(94,1),(140,1),(144,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(57,1),(66,1),(114,1),(115,1),(116,1),(132,1),(182,1),(184,1),(186,1),(189,1),(246,1),(253,1),(290,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(107,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(246,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(175,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(120,1),(180,1),(259,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(102,1),(141,1),(147,1),(169,1),(219,1),(271,1),(272,1),(298,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(39,1),(74,1),(81,1),(86,1),(141,1),(147,1),(150,1),(212,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(33,1),(35,1),(75,1),(97,1),(146,1),(148,1),(166,1),(216,1),(277,1),(303,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(74,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(143,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(144,1),(149,1),(165,1),(166,1),(168,1),(216,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(132,1),(186,1),(199,1),(246,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(19,1),(48,1),(50,1),(51,1),(59,1),(104,1),(171,1),(182,1),(203,1),(246,1),(291,1),(309,1)}
        31:{2,3,4,6}:{(16,1),(20,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(177,1),(185,1),(245,1),(247,1),(250,1),(284,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(48,1),(54,1),(62,1),(114,1),(120,1),(171,1),(182,1),(235,1)}
        33:{2,4,6}:{(17,1),(18,1),(49,1),(54,1),(56,1),(107,1)}
        34:{1,3,4,6,7}:{(18,1),(55,1),(57,1),(108,1),(125,1),(182,1),(184,1),(195,1),(246,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(56,1),(57,1),(58,1),(124,1),(189,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(50,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(107,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(180,1),(199,1),(201,1),(246,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(185,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(74,1),(75,1),(80,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(33,1),(75,1),(166,1),(216,1),(230,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(74,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(37,1),(75,1),(79,1),(80,1),(90,1),(139,1),(146,1),(161,1),(170,1),(204,1),(209,1),(216,1),(219,1),(273,1),(275,1),(299,1)}
        52:{2,3,5}:{(31,1),(39,1),(80,1),(81,1),(96,1),(165,1),(212,1),(270,1),(297,1)}
        53:{1,2,4,5,7}:{(32,1),(36,1),(74,1),(82,1),(83,1),(91,1),(141,1),(150,1),(155,1),(161,1),(212,1),(215,1),(223,1),(224,1),(269,1),(313,1)}
        54:{1,4,6}:{(32,1),(33,1),(75,1),(85,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(76,1),(84,1),(86,1),(143,1),(147,1),(215,1)}
        56:{2,5,6}:{(33,1),(35,1),(39,1),(85,1),(86,1),(212,1)}
        57:{1,3,5,7}:{(34,1),(35,1),(86,1),(89,1),(160,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(87,1),(89,1),(97,1),(146,1),(223,1),(227,1),(277,1)}
        59:{1,3,7}:{(36,1),(78,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(79,1),(90,1),(91,1),(161,1),(299,1),(301,1),(302,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(143,1),(230,1),(278,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(144,1),(165,1),(227,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(216,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(171,1),(203,1),(259,1)}
        74:{2,5,7}:{(48,1),(50,1),(107,1),(113,1)}
        75:{1,3,6}:{(48,1),(49,1),(54,1),(107,1),(258,1),(314,1)}
        76:{2,3,6,7}:{(49,1),(55,1),(108,1),(110,1),(195,1),(246,1),(254,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(56,1),(109,1),(110,1),(111,1),(124,1),(194,1),(247,1)}
        78:{2,3,7}:{(50,1),(59,1),(104,1),(112,1),(246,1)}
        79:{2,4,6}:{(50,1),(51,1),(107,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(62,1),(113,1),(114,1),(186,1),(200,1),(235,1),(308,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,7}:{(53,1),(59,1),(106,1),(116,1),(117,1),(126,1),(186,1),(189,1),(246,1),(290,1)}
        83:{1,2,4,6}:{(53,1),(54,1),(107,1),(117,1),(119,1),(177,1),(181,1),(191,1),(289,1),(314,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(108,1),(120,1),(182,1)}
        85:{1,5,6}:{(54,1),(56,1),(62,1),(120,1),(235,1)}
        86:{2,5,7}:{(55,1),(56,1),(57,1),(120,1)}
        87:{2,4,5,6}:{(56,1),(58,1),(64,1),(111,1),(121,1),(123,1),(124,1),(131,1),(181,1),(194,1),(243,1),(289,1)}
        88:{1,3,5,6,7}:{(57,1),(65,1),(122,1),(125,1),(195,1),(252,1)}
        89:{1,4,5,7}:{(57,1),(58,1),(123,1),(125,1),(182,1),(255,1)}
        90:{1,3,6}:{(59,1),(60,1),(112,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(113,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(180,1),(199,1),(255,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(181,1),(249,1),(292,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(246,1)}
       103:{1,2,5,7}:{(73,1),(74,1),(137,1),(138,1),(140,1),(231,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(204,1),(209,1),(233,1),(279,1)}
       106:{2,3,5,7}:{(74,1),(78,1),(82,1),(137,1),(141,1),(142,1),(149,1),(212,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,6,7}:{(75,1),(76,1),(84,1),(143,1),(145,1),(278,1)}
       109:{1,3,5,6}:{(75,1),(77,1),(80,1),(85,1),(144,1),(145,1),(146,1),(216,1),(227,1),(273,1)}
       110:{2,3,5,7}:{(76,1),(77,1),(86,1),(145,1),(147,1),(160,1),(226,1),(272,1)}
       111:{2,4,6}:{(77,1),(81,1),(146,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(90,1),(139,1),(149,1),(216,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(146,1),(150,1),(161,1),(209,1)}
       115:{3,4,5}:{(81,1),(96,1),(148,1),(219,1),(270,1)}
       116:{1,3,4,7}:{(82,1),(141,1),(152,1),(161,1),(219,1),(224,1),(271,1)}
       117:{1,3,6}:{(82,1),(83,1),(142,1),(216,1),(303,1)}
       118:{1,2,4,6,7}:{(83,1),(84,1),(143,1),(153,1),(155,1),(211,1),(215,1),(224,1)}
       119:{1,2,5,6}:{(83,1),(85,1),(91,1),(144,1),(154,1),(155,1),(212,1),(268,1),(301,1)}
       120:{1,5,7}:{(84,1),(85,1),(86,1)}
       121:{1,4,5,6}:{(85,1),(87,1),(93,1),(146,1),(157,1),(158,1),(163,1),(261,1),(295,1)}
       122:{2,5,6,7}:{(86,1),(88,1),(94,1),(156,1),(159,1),(268,1)}
       123:{2,4,5,7}:{(86,1),(87,1),(89,1),(147,1),(157,1),(159,1),(160,1),(215,1),(226,1)}
       124:{3,5,6}:{(87,1),(96,1),(148,1),(160,1),(166,1),(216,1),(270,1),(303,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(97,1),(159,1),(277,1),(278,1)}
       126:{1,3,5}:{(90,1),(91,1),(149,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(150,1),(161,1),(162,1),(165,1),(221,1),(228,1),(276,1),(302,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(215,1),(274,1),(304,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(216,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(106,1),(171,1),(172,1),(175,1),(235,1)}
       138:{1,2,6}:{(103,1),(107,1),(172,1),(258,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(235,1)}
       141:{2,4,7}:{(106,1),(116,1),(171,1),(177,1),(185,1)}
       142:{2,3,6}:{(106,1),(107,1),(117,1),(172,1),(177,1)}
       143:{2,6,7}:{(107,1),(108,1),(180,1)}
       144:{2,5,6}:{(107,1),(109,1),(113,1),(180,1),(181,1),(292,1)}
       145:{1,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(180,1),(182,1),(246,1),(255,1),(291,1)}
       146:{1,4,6}:{(109,1),(111,1),(114,1),(181,1),(182,1)}
       147:{2,4,7}:{(110,1),(111,1),(182,1),(184,1)}
       148:{3,4,6}:{(111,1),(115,1),(124,1),(184,1)}
       149:{2,3,5}:{(112,1),(113,1),(126,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(181,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(130,1),(183,1),(186,1),(187,1),(196,1),(240,1),(251,1),(282,1)}
       152:{1,3,4,6}:{(116,1),(117,1),(177,1),(189,1),(191,1),(245,1)}
       153:{1,3,6,7}:{(117,1),(118,1),(178,1),(190,1),(246,1),(314,1)}
       154:{1,3,5,6}:{(117,1),(119,1),(126,1),(179,1),(189,1),(190,1),(191,1),(286,1),(308,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(120,1),(180,1),(190,1),(242,1),(310,1)}
       156:{1,5,6,7}:{(120,1),(122,1),(128,1),(192,1),(280,1)}
       157:{1,4,5,7}:{(120,1),(121,1),(123,1),(182,1),(192,1),(193,1)}
       158:{1,3,5,6}:{(121,1),(124,1),(130,1),(183,1),(193,1),(194,1),(198,1),(282,1),(306,1)}
       159:{2,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(192,1),(195,1),(254,1),(289,1)}
       160:{3,5,7}:{(123,1),(124,1),(184,1),(195,1),(246,1)}
       161:{1,4}:{(126,1),(185,1)}
       162:{1,3,5}:{(127,1),(134,1),(186,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(246,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(292,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(141,1),(204,1),(209,1)}
       172:{1,3,6}:{(137,1),(138,1),(142,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(143,1),(205,1),(207,1),(278,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(144,1),(206,1),(207,1),(208,1),(227,1),(297,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(261,1),(266,1),(276,1),(279,1),(297,1)}
       177:{2,4,6}:{(141,1),(142,1),(152,1),(204,1),(212,1)}
       178:{2,3,6,7}:{(142,1),(143,1),(153,1),(205,1),(211,1),(213,1),(303,1),(312,1)}
       179:{2,3,5,6}:{(142,1),(144,1),(149,1),(154,1),(206,1),(212,1),(213,1),(214,1),(216,1),(265,1),(268,1),(270,1),(297,1),(303,1),(312,1)}
       180:{2,5,7}:{(143,1),(144,1),(145,1),(215,1),(304,1)}
       181:{2,4,6}:{(144,1),(146,1),(150,1),(215,1),(216,1)}
       182:{1,4,7}:{(145,1),(146,1),(147,1),(215,1)}
       183:{1,3,4,6}:{(146,1),(148,1),(151,1),(158,1),(216,1),(217,1),(218,1),(273,1)}
       184:{3,4,7}:{(147,1),(148,1),(160,1)}
       185:{2,4}:{(149,1),(161,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(216,1),(219,1)}
       187:{2,4,5}:{(151,1),(165,1),(218,1),(220,1),(221,1),(228,1),(266,1),(276,1),(297,1)}
       188:{1,3,4,6,7}:{(152,1),(153,1),(211,1),(222,1),(224,1),(271,1),(277,1),(303,1)}
       189:{1,3,5}:{(152,1),(212,1),(223,1),(270,1)}
       190:{1,3,5,7}:{(153,1),(154,1),(155,1),(213,1),(224,1),(300,1),(313,1)}
       191:{1,4,6}:{(154,1),(161,1),(214,1),(223,1),(224,1)}
       192:{1,4,6,7}:{(156,1),(157,1),(159,1),(163,1),(225,1),(295,1)}
       193:{1,3,5,7}:{(157,1),(158,1),(160,1),(217,1),(225,1),(226,1)}
       194:{2,5,6}:{(158,1),(165,1),(218,1),(226,1),(227,1),(230,1),(297,1),(312,1)}
       195:{3,6,7}:{(159,1),(160,1),(166,1),(303,1)}
       196:{1,3,4}:{(161,1),(162,1),(219,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(276,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(177,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(178,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(175,1),(179,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(180,1),(236,1),(238,1),(255,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(181,1),(237,1),(238,1),(239,1),(249,1),(284,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(178,1),(188,1),(234,1),(242,1),(244,1),(289,1)}
       212:{2,5}:{(177,1),(189,1),(235,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(180,1),(190,1),(236,1),(242,1),(244,1),(246,1),(285,1),(290,1),(307,1)}
       214:{2,4,6}:{(179,1),(185,1),(191,1),(237,1),(243,1),(244,1),(245,1)}
       215:{2,4,7}:{(180,1),(181,1),(182,1),(246,1)}
       216:{3,6}:{(181,1),(186,1),(246,1)}
       217:{1,3,4,7}:{(182,1),(183,1),(184,1),(193,1),(246,1),(248,1),(291,1)}
       218:{2,4,6}:{(183,1),(187,1),(194,1),(247,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(247,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(256,1),(287,1),(308,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(242,1),(252,1),(253,1),(290,1)}
       223:{1,4,5}:{(189,1),(191,1),(243,1),(308,1)}
       224:{1,4,7}:{(190,1),(191,1),(244,1)}
       225:{1,3,6,7}:{(192,1),(193,1),(195,1),(198,1),(254,1),(306,1)}
       226:{2,5,7}:{(193,1),(194,1),(248,1),(254,1),(255,1)}
       227:{1,5,6}:{(194,1),(200,1),(249,1),(255,1),(258,1),(308,1),(314,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(211,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(212,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(213,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(209,1),(214,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(215,1),(262,1),(264,1),(274,1),(298,1),(304,1)}
       239:{1,3,6}:{(208,1),(210,1),(216,1),(264,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(297,1),(305,1)}
       242:{2,5,7}:{(211,1),(212,1),(222,1),(260,1),(268,1)}
       243:{2,4,5}:{(212,1),(214,1),(223,1),(261,1),(270,1),(297,1)}
       244:{2,4,7}:{(213,1),(214,1),(224,1),(262,1),(271,1)}
       245:{3,4,6}:{(214,1),(216,1),(219,1),(270,1),(271,1),(303,1)}
       246:{3,7}:{(215,1),(216,1)}
       247:{2,3,6}:{(216,1),(218,1),(220,1),(272,1),(273,1)}
       248:{2,4,7}:{(217,1),(218,1),(226,1),(272,1),(274,1),(304,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(273,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(228,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(273,1),(275,1),(276,1)}
       252:{1,3,5,6}:{(222,1),(268,1),(277,1),(303,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(224,1),(269,1),(277,1),(313,1)}
       254:{2,6,7}:{(225,1),(226,1),(230,1),(278,1),(312,1)}
       255:{1,5,7}:{(226,1),(227,1),(274,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(276,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(235,1),(242,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(243,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(244,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(240,1),(245,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(246,1),(285,1)}
       265:{2,3,6}:{(239,1),(241,1),(284,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(308,1),(311,1)}
       268:{2,5,6}:{(242,1),(252,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(244,1),(253,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,5}:{(243,1),(245,1)}
       271:{3,4,7}:{(244,1),(245,1),(246,1),(290,1)}
       272:{2,3,7}:{(246,1),(247,1),(248,1),(291,1)}
       273:{1,3,6}:{(247,1),(249,1),(251,1),(291,1),(292,1)}
       274:{1,4,7}:{(248,1),(249,1),(255,1),(291,1)}
       275:{1,3,4}:{(250,1),(251,1),(256,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,4,6}:{(252,1),(253,1),(289,1),(314,1)}
       278:{1,6,7}:{(254,1),(255,1),(258,1),(314,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(269,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(270,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(271,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(266,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(304,1)}
       286:{1,3,6}:{(265,1),(267,1),(299,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(277,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(271,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(274,1),(304,1)}
       292:{2,6}:{(273,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(290,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(310,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(304,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 549 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(72,1),(130,1),(149,1),(158,1),(217,1),(227,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(21,1),(25,1),(71,1),(72,1),(127,1),(138,1),(217,1),(234,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(11,1),(43,1),(89,1),(112,1),(113,1),(167,1),(262,1),(264,1),(343,1),(395,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(11,1),(12,1),(45,1),(107,1),(184,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(111,1),(177,1),(198,1),(273,1)}
         5:{1,3,5}:{(1,1),(10,1),(11,1),(14,1),(173,1),(278,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(79,1),(121,1),(156,1),(209,1),(219,1),(227,1),(250,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(26,1),(57,1),(61,1),(72,1),(121,1),(143,1),(144,1),(158,1),(219,1),(227,1),(238,1),(309,1),(324,1),(381,1),(382,1)}
         8:{1,4,6}:{(2,1),(18,1),(21,1),(23,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(27,1),(77,1),(131,1),(218,1)}
        10:{1,3,4}:{(5,1),(25,1),(304,1),(319,1)}
        11:{1,3,6}:{(3,1),(5,1),(26,1),(27,1),(309,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(27,1),(76,1),(154,1),(232,1),(310,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(158,1),(245,1),(306,1),(316,1)}
        14:{2,3,5}:{(5,1),(25,1),(26,1),(28,1),(72,1),(138,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(29,1),(30,1),(32,1),(49,1),(82,1),(110,1),(169,1),(170,1),(203,1),(205,1),(292,1),(360,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(31,1),(32,1),(33,1),(84,1),(252,1),(268,1),(330,1)}
        17:{1,2,5,7}:{(6,1),(30,1),(33,1),(34,1),(117,1),(168,1),(255,1),(273,1)}
        18:{2,4,6}:{(7,1),(8,1),(29,1),(35,1),(36,1),(37,1),(283,1),(402,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(30,1),(37,1),(38,1),(50,1),(90,1),(97,1),(102,1),(111,1),(168,1),(273,1),(346,1),(398,1)}
        20:{1,3,4,5}:{(10,1),(41,1),(42,1),(43,1),(94,1),(95,1),(187,1),(202,1),(278,1),(289,1)}
        21:{1,4,5}:{(8,1),(35,1),(43,1),(167,1),(395,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(11,1),(36,1),(43,1),(45,1),(46,1),(112,1)}
        23:{1,4,7}:{(8,1),(9,1),(37,1)}
        24:{1,3,6,7}:{(9,1),(13,1),(38,1),(47,1),(112,1),(264,1),(343,1)}
        25:{2,4}:{(10,1),(14,1),(48,1)}
        26:{2,3,6}:{(11,1),(14,1),(45,1),(49,1),(50,1),(184,1)}
        27:{1,3,7}:{(11,1),(12,1),(50,1),(346,1)}
        28:{1,3,5}:{(14,1),(48,1),(49,1),(51,1),(110,1),(116,1)}
        29:{1,4,6}:{(15,1),(18,1),(52,1),(54,1),(248,1)}
        30:{1,3,5,7}:{(15,1),(17,1),(19,1),(54,1),(55,1),(58,1),(80,1),(126,1),(157,1)}
        31:{1,2,4,5}:{(16,1),(52,1),(56,1),(121,1),(128,1),(156,1),(216,1),(234,1),(248,1),(302,1),(307,1)}
        32:{1,3,6}:{(16,1),(56,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(54,1),(58,1),(125,1),(296,1),(310,1),(363,1)}
        34:{1,2,6,7}:{(17,1),(55,1),(219,1),(250,1),(299,1),(316,1)}
        35:{2,4,5}:{(18,1),(21,1),(52,1),(61,1),(72,1),(121,1),(382,1),(415,1)}
        36:{3,4,6}:{(18,1),(61,1),(64,1),(143,1),(309,1),(319,1)}
        37:{2,4,7}:{(18,1),(19,1),(23,1),(54,1),(64,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(24,1),(55,1),(65,1),(143,1),(158,1),(219,1),(316,1),(324,1),(375,1)}
        39:{2,3,4}:{(25,1),(60,1),(66,1),(148,1),(233,1),(319,1)}
        40:{1,4,5,6}:{(21,1),(59,1),(67,1),(68,1),(74,1),(209,1),(224,1),(322,1),(325,1),(383,1)}
        41:{1,3,4,6}:{(20,1),(67,1),(69,1),(70,1),(132,1),(136,1),(224,1),(309,1)}
        42:{2,4,5}:{(20,1),(25,1),(60,1),(69,1),(71,1),(72,1),(138,1),(233,1),(317,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(72,1)}
        44:{1,4,5,7}:{(21,1),(23,1),(62,1),(73,1),(74,1),(77,1),(218,1)}
        45:{2,4,6}:{(22,1),(25,1),(26,1),(72,1),(75,1),(76,1),(158,1)}
        46:{1,3,4,7}:{(22,1),(23,1),(27,1),(64,1),(73,1),(76,1)}
        47:{1,4,6,7}:{(23,1),(24,1),(65,1),(74,1),(77,1),(372,1)}
        48:{1,4}:{(25,1),(28,1)}
        49:{1,3,6}:{(26,1),(28,1),(75,1),(79,1),(80,1)}
        50:{2,3,7}:{(26,1),(27,1),(76,1),(80,1),(232,1)}
        51:{1,2,5}:{(28,1),(78,1),(79,1),(138,1)}
        52:{1,4,5}:{(29,1),(35,1),(82,1),(110,1),(360,1)}
        53:{1,3,4,6}:{(29,1),(32,1),(36,1),(82,1),(84,1),(85,1),(87,1),(169,1)}
        54:{1,4,7}:{(29,1),(30,1),(37,1)}
        55:{1,3,6,7}:{(30,1),(34,1),(38,1),(86,1),(169,1),(205,1),(292,1)}
        56:{1,3,5}:{(31,1),(32,1),(87,1),(88,1),(278,1),(344,1)}
        57:{2,3,6}:{(32,1),(84,1),(88,1),(89,1),(90,1),(330,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(81,1),(91,1),(92,1),(98,1),(104,1),(162,1),(178,1),(268,1),(281,1),(282,1),(349,1),(355,1),(399,1),(402,1)}
        60:{2,3,5}:{(39,1),(42,1),(93,1),(94,1),(278,1)}
        61:{3,5}:{(35,1),(36,1)}
        62:{2,4,5,7}:{(35,1),(37,1),(44,1),(83,1),(97,1),(98,1),(102,1),(111,1),(168,1),(196,1)}
        63:{2,3,4,6}:{(36,1),(39,1),(45,1),(84,1),(93,1),(96,1),(99,1),(100,1),(174,1),(178,1),(192,1),(194,1),(251,1),(276,1),(283,1),(345,1),(356,1),(387,1)}
        64:{3,4,7}:{(36,1),(37,1),(97,1),(346,1)}
        65:{2,4,6,7}:{(37,1),(38,1),(47,1),(86,1),(98,1),(101,1),(102,1),(356,1)}
        66:{1,3,4}:{(39,1),(48,1),(94,1),(103,1),(116,1),(173,1),(259,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(43,1),(91,1),(104,1),(105,1),(112,1),(289,1),(359,1)}
        68:{1,4,5,7}:{(40,1),(92,1),(105,1),(106,1),(255,1),(269,1),(348,1)}
        69:{2,4,6}:{(41,1),(42,1),(93,1),(104,1),(107,1),(108,1),(184,1)}
        70:{1,3,4,7}:{(41,1),(105,1),(108,1),(179,1),(185,1),(269,1),(346,1)}
        71:{1,4,5}:{(42,1),(48,1),(94,1),(107,1),(110,1),(259,1),(337,1)}
        72:{2,5}:{(43,1),(45,1),(110,1)}
        73:{1,3,5,7}:{(43,1),(44,1),(46,1),(97,1),(111,1),(112,1)}
        74:{1,4,6}:{(44,1),(98,1),(112,1),(113,1),(264,1)}
        75:{1,4,6}:{(45,1),(48,1),(49,1),(110,1),(115,1),(205,1)}
        76:{2,4,7}:{(45,1),(46,1),(50,1),(111,1),(115,1)}
        77:{1,5,7}:{(47,1),(102,1),(113,1),(395,1)}
        78:{1,2,4}:{(48,1),(51,1),(103,1),(116,1)}
        79:{1,2,6}:{(49,1),(51,1),(117,1),(184,1)}
        80:{1,3,7}:{(49,1),(50,1),(115,1),(117,1)}
        81:{1,4,5,6}:{(52,1),(59,1),(118,1),(119,1),(123,1),(149,1),(224,1),(322,1),(366,1),(409,1)}
        82:{1,3,5}:{(52,1),(53,1),(61,1),(121,1)}
        83:{1,4,5,7}:{(52,1),(54,1),(62,1),(122,1),(123,1),(126,1),(157,1)}
        84:{2,4,6}:{(53,1),(57,1),(121,1),(124,1),(125,1),(128,1),(219,1)}
        85:{1,3,4,7}:{(53,1),(54,1),(58,1),(64,1),(122,1),(125,1)}
        86:{1,4,6,7}:{(54,1),(55,1),(65,1),(123,1),(126,1),(329,1)}
        87:{1,3,4}:{(56,1),(128,1),(248,1),(319,1)}
        88:{2,3,5}:{(56,1),(57,1),(121,1),(128,1),(129,1),(302,1),(308,1)}
        89:{1,3,6}:{(57,1),(124,1),(129,1),(130,1),(131,1)}
        90:{2,3,7}:{(57,1),(58,1),(125,1),(131,1),(363,1)}
        91:{3,5,6}:{(59,1),(61,1),(132,1),(134,1),(143,1),(309,1),(373,1),(411,1)}
        92:{2,4,5,7}:{(59,1),(68,1),(119,1),(134,1),(135,1),(150,1),(210,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        93:{2,3,6}:{(60,1),(69,1),(136,1),(137,1),(309,1)}
        94:{1,3,5}:{(60,1),(66,1),(71,1),(136,1),(138,1)}
        95:{3,4,5}:{(61,1),(132,1),(139,1),(319,1),(373,1),(415,1)}
        96:{2,3,5}:{(61,1),(63,1),(72,1),(121,1),(139,1),(141,1),(317,1),(373,1),(382,1),(406,1)}
        97:{3,5,7}:{(61,1),(62,1),(64,1),(143,1)}
        98:{2,4,6}:{(62,1),(74,1),(123,1),(143,1),(144,1),(158,1),(219,1),(241,1)}
        99:{1,3,4,6}:{(63,1),(66,1),(75,1),(124,1),(136,1),(141,1),(145,1),(146,1),(159,1),(220,1),(222,1),(224,1),(240,1),(248,1),(293,1),(300,1),(304,1),(309,1),(319,1),(329,1),(372,1),(380,1),(404,1)}
       100:{2,3,4,7}:{(63,1),(64,1),(76,1),(125,1),(137,1),(142,1),(146,1),(225,1),(242,1),(294,1),(318,1),(323,1),(374,1),(407,1)}
       101:{3,4,6,7}:{(64,1),(65,1),(143,1),(147,1),(241,1),(375,1),(380,1),(413,1)}
       102:{2,5,7}:{(65,1),(77,1),(126,1),(144,1),(147,1),(382,1)}
       103:{2,4}:{(66,1),(138,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(72,1),(149,1),(150,1),(158,1),(317,1),(379,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(70,1),(134,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(74,1),(135,1),(151,1),(152,1),(299,1),(383,1)}
       107:{1,4,6}:{(69,1),(71,1),(136,1),(149,1),(154,1)}
       108:{2,4,7}:{(69,1),(70,1),(137,1),(150,1),(154,1),(232,1)}
       109:{1,2,4,5}:{(71,1),(78,1),(138,1),(153,1),(155,1),(156,1),(233,1),(234,1),(248,1),(317,1),(325,1)}
       110:{1,5}:{(72,1),(75,1)}
       111:{2,5,7}:{(72,1),(73,1),(76,1),(157,1),(158,1)}
       112:{1,3,6}:{(73,1),(74,1),(143,1),(158,1)}
       113:{1,5,6}:{(74,1),(77,1),(144,1)}
       114:{1,2,4,6}:{(75,1),(78,1),(79,1),(145,1),(156,1),(159,1),(160,1),(248,1),(250,1),(307,1),(329,1),(361,1),(404,1)}
       115:{1,4,7}:{(75,1),(76,1),(80,1),(157,1)}
       116:{1,3}:{(78,1),(148,1)}
       117:{1,2,7}:{(79,1),(80,1),(232,1)}
       118:{1,3,5,6}:{(81,1),(82,1),(91,1),(161,1),(162,1),(163,1),(169,1),(389,1),(419,1)}
       119:{1,4,5,7}:{(81,1),(92,1),(163,1),(164,1),(198,1),(269,1),(348,1)}
       120:{1,3,4,5}:{(82,1),(87,1),(95,1),(161,1),(166,1),(187,1),(260,1),(278,1),(341,1),(389,1)}
       121:{2,5}:{(82,1),(84,1),(167,1)}
       122:{1,3,5,7}:{(82,1),(83,1),(85,1),(97,1),(168,1),(169,1)}
       123:{1,4,6}:{(83,1),(98,1),(169,1),(170,1),(205,1)}
       124:{1,4,6}:{(84,1),(89,1),(167,1),(172,1),(175,1),(264,1)}
       125:{2,4,7}:{(84,1),(85,1),(90,1),(168,1),(172,1)}
       126:{1,5,7}:{(86,1),(102,1),(170,1),(360,1)}
       127:{1,2,4}:{(103,1),(165,1),(173,1),(259,1)}
       128:{2,4}:{(87,1),(88,1),(175,1)}
       129:{1,3,5}:{(88,1),(89,1),(167,1),(175,1),(176,1),(267,1)}
       130:{1,2,6}:{(89,1),(176,1),(177,1),(330,1)}
       131:{1,3,7}:{(89,1),(90,1),(172,1),(177,1)}
       132:{3,4,6}:{(91,1),(95,1),(178,1),(179,1),(402,1)}
       133:{2,3,5,6}:{(91,1),(93,1),(96,1),(104,1),(162,1),(178,1),(180,1),(181,1),(192,1),(251,1),(281,1)}
       134:{3,5,7}:{(91,1),(92,1),(179,1),(182,1),(346,1)}
       135:{2,4,6,7}:{(92,1),(98,1),(106,1),(164,1),(182,1),(183,1),(199,1),(256,1),(275,1),(399,1)}
       136:{1,3,6}:{(93,1),(94,1),(107,1),(184,1),(185,1)}
       137:{2,3,7}:{(93,1),(108,1),(185,1),(346,1)}
       138:{2,5}:{(94,1),(103,1),(184,1)}
       139:{2,4,5}:{(95,1),(96,1),(178,1),(187,1),(283,1)}
       140:{3,4,5,7}:{(95,1),(97,1),(179,1),(188,1),(189,1),(196,1),(271,1),(353,1),(396,1),(401,1),(422,1)}
       141:{1,3,5}:{(96,1),(99,1),(110,1),(167,1),(187,1),(190,1),(278,1),(337,1),(360,1),(395,1),(401,1),(416,1)}
       142:{2,3,5,7}:{(96,1),(97,1),(100,1),(111,1),(168,1),(188,1),(191,1),(192,1),(352,1),(396,1),(418,1)}
       143:{3,6}:{(97,1),(98,1)}
       144:{2,5,6}:{(98,1),(102,1),(113,1),(170,1),(193,1)}
       145:{2,4,6}:{(99,1),(103,1),(184,1),(190,1),(194,1),(195,1),(266,1),(283,1),(285,1),(330,1)}
       146:{1,3,4,7}:{(99,1),(100,1),(115,1),(172,1),(185,1),(191,1),(195,1),(206,1),(265,1),(269,1),(291,1),(331,1),(338,1),(342,1),(346,1),(353,1),(417,1)}
       147:{3,5,7}:{(101,1),(102,1),(193,1),(196,1),(401,1)}
       148:{2,3}:{(103,1),(116,1),(173,1)}
       149:{1,5,6}:{(104,1),(107,1),(110,1),(198,1),(205,1),(337,1),(393,1)}
       150:{2,5,7}:{(104,1),(105,1),(108,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(112,1),(182,1),(199,1),(359,1)}
       152:{1,5,6,7}:{(106,1),(113,1),(183,1),(348,1),(403,1)}
       153:{1,2,4,6}:{(107,1),(109,1),(184,1),(197,1),(200,1),(201,1),(268,1),(276,1),(286,1)}
       154:{1,4,7}:{(107,1),(108,1),(185,1),(198,1)}
       155:{1,3,5}:{(109,1),(116,1),(186,1),(200,1),(202,1),(278,1)}
       156:{1,2,5}:{(110,1),(114,1),(190,1),(203,1),(360,1),(416,1)}
       157:{1,5,7}:{(110,1),(111,1),(115,1),(205,1)}
       158:{2,6}:{(111,1),(112,1),(205,1)}
       159:{1,3,6}:{(114,1),(116,1),(194,1),(203,1),(206,1),(344,1)}
       160:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(204,1),(206,1),(291,1),(386,1),(417,1)}
       161:{1,3,4,6}:{(118,1),(120,1),(132,1),(207,1),(208,1),(224,1),(293,1),(309,1)}
       162:{2,5,6}:{(118,1),(121,1),(207,1),(209,1),(210,1),(219,1),(406,1),(424,1)}
       163:{1,3,5,7}:{(118,1),(119,1),(134,1),(208,1),(210,1),(211,1)}
       164:{1,4,6,7}:{(119,1),(123,1),(135,1),(211,1),(212,1),(245,1),(409,1)}
       165:{1,2,5}:{(127,1),(138,1),(213,1),(214,1)}
       166:{2,4,5}:{(120,1),(121,1),(128,1),(207,1),(215,1),(216,1),(302,1),(371,1),(406,1)}
       167:{1,5}:{(121,1),(124,1)}
       168:{2,5,7}:{(121,1),(122,1),(125,1),(218,1),(219,1)}
       169:{1,3,6}:{(122,1),(123,1),(143,1),(219,1)}
       170:{1,5,6}:{(123,1),(126,1),(144,1)}
       171:{1,2,4,6}:{(124,1),(127,1),(130,1),(145,1),(213,1),(217,1),(220,1),(221,1),(223,1),(300,1),(304,1),(306,1),(372,1)}
       172:{1,4,7}:{(124,1),(125,1),(131,1),(218,1)}
       173:{1,3}:{(127,1),(148,1)}
       174:{2,3,4}:{(128,1),(215,1),(222,1),(308,1),(319,1),(371,1)}
       175:{1,4}:{(128,1),(129,1)}
       176:{1,2,5}:{(129,1),(130,1),(223,1),(302,1)}
       177:{1,2,7}:{(130,1),(131,1),(363,1)}
       178:{2,4,6}:{(132,1),(133,1),(139,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(134,1),(225,1),(413,1)}
       180:{1,3,5,6}:{(133,1),(136,1),(141,1),(149,1),(209,1),(224,1),(227,1),(228,1),(240,1),(293,1),(309,1),(322,1),(381,1)}
       181:{2,3,5,7}:{(133,1),(134,1),(137,1),(150,1),(210,1),(225,1),(228,1),(229,1),(294,1),(312,1)}
       182:{3,6,7}:{(134,1),(135,1),(143,1),(411,1)}
       183:{2,5,6,7}:{(135,1),(144,1),(152,1),(212,1),(230,1),(312,1),(376,1),(414,1)}
       184:{2,6}:{(136,1),(138,1),(232,1)}
       185:{1,3,7}:{(136,1),(137,1),(154,1),(232,1)}
       186:{2,3,5}:{(138,1),(148,1),(155,1),(214,1),(231,1),(233,1),(317,1)}
       187:{1,4,5}:{(139,1),(141,1),(224,1),(234,1),(248,1),(304,1),(415,1)}
       188:{2,4,5,7}:{(139,1),(140,1),(142,1),(225,1),(235,1),(236,1),(312,1),(323,1),(382,1)}
       189:{3,4,6}:{(140,1),(143,1),(236,1),(237,1),(241,1),(411,1),(425,1)}
       190:{2,5}:{(141,1),(145,1)}
       191:{1,3,5,7}:{(141,1),(142,1),(146,1),(157,1),(218,1),(235,1),(239,1),(240,1),(320,1),(369,1),(423,1)}
       192:{2,3,6}:{(142,1),(143,1),(158,1),(219,1),(236,1),(240,1),(379,1),(411,1),(424,1)}
       193:{3,5,6}:{(143,1),(144,1),(147,1),(241,1)}
       194:{2,3,6}:{(145,1),(148,1),(159,1),(220,1),(238,1),(242,1),(308,1),(309,1)}
       195:{2,4,7}:{(145,1),(146,1),(232,1),(239,1),(242,1),(363,1)}
       196:{4,5,7}:{(147,1),(241,1),(413,1),(415,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(156,1),(227,1),(243,1),(244,1),(250,1),(317,1),(361,1),(379,1)}
       198:{1,5,7}:{(149,1),(150,1),(154,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(158,1),(245,1),(379,1)}
       200:{1,3,6}:{(153,1),(155,1),(231,1),(247,1),(309,1)}
       201:{1,2,4,7}:{(153,1),(154,1),(232,1),(244,1),(247,1),(310,1),(318,1),(326,1)}
       202:{1,3,4}:{(155,1),(233,1),(248,1),(319,1)}
       203:{1,3,5}:{(156,1),(159,1),(238,1),(248,1)}
       204:{1,2,5,7}:{(156,1),(157,1),(160,1),(239,1),(249,1),(250,1),(423,1)}
       205:{1,6}:{(157,1),(158,1)}
       206:{1,3,7}:{(159,1),(160,1),(242,1)}
       207:{2,4,6}:{(161,1),(162,1),(166,1),(251,1),(252,1),(253,1),(330,1)}
       208:{1,3,4,7}:{(161,1),(163,1),(179,1),(253,1),(269,1),(331,1),(346,1)}
       209:{1,5,6}:{(162,1),(167,1),(252,1),(255,1),(264,1),(416,1),(426,1)}
       210:{2,5,7}:{(162,1),(163,1),(253,1),(255,1),(256,1)}
       211:{1,3,6,7}:{(163,1),(164,1),(169,1),(182,1),(256,1),(419,1)}
       212:{1,5,6,7}:{(164,1),(170,1),(183,1),(348,1),(420,1)}
       213:{1,2,6}:{(165,1),(184,1),(257,1),(258,1)}
       214:{1,3,5}:{(165,1),(173,1),(186,1),(257,1),(259,1),(337,1)}
       215:{2,3,5}:{(166,1),(174,1),(251,1),(260,1),(278,1)}
       216:{1,4,5}:{(166,1),(167,1),(175,1),(252,1),(260,1),(394,1),(416,1)}
       217:{1,2,5}:{(167,1),(171,1),(190,1),(262,1),(337,1),(395,1)}
       218:{1,5,7}:{(167,1),(168,1),(172,1),(264,1)}
       219:{2,6}:{(168,1),(169,1),(264,1)}
       220:{1,3,6}:{(171,1),(173,1),(194,1),(262,1),(265,1),(267,1)}
       221:{1,2,4,7}:{(171,1),(172,1),(177,1),(195,1),(258,1),(263,1),(265,1),(338,1),(342,1)}
       222:{1,3,4}:{(174,1),(175,1),(260,1),(266,1),(267,1),(344,1),(394,1)}
       223:{1,2,4}:{(175,1),(176,1),(266,1),(267,1)}
       224:{1,4,6}:{(178,1),(180,1),(187,1),(268,1),(269,1),(402,1)}
       225:{2,4,7}:{(178,1),(179,1),(181,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(189,1),(270,1),(271,1),(275,1)}
       227:{2,5,6}:{(180,1),(184,1),(190,1),(268,1),(273,1),(285,1),(330,1)}
       228:{1,3,5,7}:{(180,1),(181,1),(185,1),(198,1),(255,1),(269,1),(273,1),(274,1),(331,1),(346,1),(348,1),(398,1)}
       229:{2,3,6,7}:{(181,1),(182,1),(192,1),(199,1),(256,1),(270,1),(274,1)}
       230:{3,5,6,7}:{(182,1),(183,1),(193,1),(271,1),(275,1),(398,1),(421,1)}
       231:{2,3,6}:{(184,1),(186,1),(200,1),(257,1),(276,1),(277,1)}
       232:{2,7}:{(184,1),(185,1)}
       233:{2,4}:{(186,1),(202,1),(259,1)}
       234:{2,4,5}:{(187,1),(190,1),(268,1),(278,1),(283,1)}
       235:{1,4,5,7}:{(187,1),(188,1),(191,1),(269,1),(279,1),(280,1),(291,1),(342,1),(348,1),(360,1),(395,1)}
       236:{2,4,6}:{(188,1),(189,1),(192,1),(280,1),(281,1)}
       237:{3,5,6}:{(189,1),(271,1),(281,1),(282,1),(401,1)}
       238:{2,3,5}:{(190,1),(194,1),(203,1),(262,1),(278,1),(283,1)}
       239:{2,5,7}:{(190,1),(191,1),(195,1),(285,1)}
       240:{1,3,6}:{(191,1),(192,1),(205,1),(264,1),(280,1),(285,1),(354,1),(393,1),(426,1)}
       241:{4,6}:{(193,1),(196,1)}
       242:{2,3,7}:{(194,1),(195,1),(206,1),(265,1),(346,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(203,1),(272,1),(286,1),(287,1),(289,1),(292,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(201,1),(273,1),(287,1),(288,1),(352,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(205,1),(393,1)}
       246:{1,3,4,6}:{(200,1),(202,1),(276,1),(286,1),(289,1),(290,1),(345,1),(359,1)}
       247:{1,3,7}:{(200,1),(201,1),(277,1),(346,1)}
       248:{1,4}:{(203,1),(283,1)}
       249:{1,3,5,7}:{(203,1),(204,1),(206,1),(284,1),(291,1),(292,1),(360,1)}
       250:{1,2,6}:{(204,1),(205,1),(285,1),(292,1),(426,1)}
       251:{2,3,6}:{(207,1),(215,1),(293,1),(294,1),(309,1)}
       252:{1,4,6}:{(207,1),(209,1),(216,1),(293,1),(296,1)}
       253:{2,4,7}:{(207,1),(208,1),(210,1),(294,1),(296,1),(363,1)}
       254:{1,2,5,6}:{(209,1),(213,1),(217,1),(227,1),(295,1),(297,1),(298,1),(306,1),(406,1),(424,1)}
       255:{1,5,7}:{(209,1),(210,1),(296,1),(299,1)}
       256:{2,6,7}:{(210,1),(211,1),(219,1),(299,1),(424,1)}
       257:{1,3,6}:{(213,1),(214,1),(231,1),(300,1),(301,1)}
       258:{1,2,7}:{(213,1),(232,1),(301,1)}
       259:{1,4}:{(214,1),(233,1)}
       260:{1,3,5}:{(215,1),(216,1),(222,1),(293,1),(302,1)}
       261:{1,2,4,5}:{(216,1),(217,1),(223,1),(234,1),(295,1),(302,1),(303,1),(304,1),(366,1),(371,1),(406,1)}
       262:{1,3,5}:{(217,1),(220,1),(238,1),(304,1)}
       263:{1,2,5,7}:{(217,1),(218,1),(221,1),(239,1),(305,1),(306,1),(369,1)}
       264:{1,6}:{(218,1),(219,1)}
       265:{1,3,7}:{(220,1),(221,1),(242,1)}
       266:{2,4}:{(222,1),(302,1),(308,1)}
       267:{1,3}:{(223,1),(308,1)}
       268:{2,4,6}:{(224,1),(227,1),(234,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(228,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(236,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(237,1),(312,1),(313,1)}
       272:{2,3,5,6}:{(227,1),(231,1),(238,1),(243,1),(297,1),(309,1),(314,1),(315,1),(317,1),(324,1),(362,1),(373,1),(379,1),(381,1),(382,1),(406,1),(411,1),(414,1),(424,1)}
       273:{2,5,7}:{(227,1),(228,1),(232,1),(310,1),(316,1),(363,1)}
       274:{1,3,6,7}:{(228,1),(229,1),(240,1),(245,1),(299,1),(311,1),(316,1),(375,1)}
       275:{4,6,7}:{(230,1),(241,1),(313,1),(413,1),(425,1)}
       276:{2,4,6}:{(231,1),(233,1),(246,1),(300,1),(317,1),(318,1),(379,1)}
       277:{2,3,7}:{(231,1),(232,1),(247,1),(301,1),(318,1)}
       278:{3,5}:{(234,1),(309,1),(319,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(239,1),(310,1),(320,1),(321,1),(323,1),(376,1),(382,1),(413,1),(415,1)}
       280:{1,4,6}:{(235,1),(236,1),(240,1),(321,1),(322,1)}
       281:{2,5,6}:{(236,1),(237,1),(312,1),(322,1),(382,1)}
       282:{4,5,6}:{(237,1),(241,1),(313,1),(415,1),(425,1)}
       283:{2,4}:{(238,1),(248,1),(304,1),(319,1)}
       284:{2,3,5,7}:{(238,1),(239,1),(242,1),(249,1),(305,1),(320,1),(323,1),(324,1),(382,1)}
       285:{2,6}:{(239,1),(240,1)}
       286:{1,4,6}:{(243,1),(248,1),(314,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(247,1),(315,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(250,1),(316,1),(327,1),(379,1)}
       289:{1,3,5}:{(246,1),(317,1),(325,1),(373,1)}
       290:{1,3,4,7}:{(246,1),(247,1),(318,1),(326,1),(328,1),(374,1)}
       291:{1,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       292:{1,3,6}:{(249,1),(250,1),(324,1),(329,1)}
       293:{1,3,6}:{(251,1),(252,1),(260,1),(330,1),(331,1)}
       294:{2,3,7}:{(251,1),(253,1),(331,1),(346,1)}
       295:{1,2,4,6}:{(252,1),(254,1),(261,1),(268,1),(330,1),(332,1),(333,1),(334,1),(387,1)}
       296:{1,4,7}:{(252,1),(253,1),(255,1),(331,1)}
       297:{1,3,5,6}:{(254,1),(257,1),(262,1),(272,1),(332,1),(334,1),(335,1),(337,1),(343,1),(389,1),(393,1),(395,1),(419,1),(420,1)}
       298:{1,2,5,7}:{(254,1),(255,1),(258,1),(273,1),(333,1),(335,1),(336,1),(418,1)}
       299:{1,6,7}:{(255,1),(256,1),(264,1),(426,1)}
       300:{1,4,6}:{(257,1),(259,1),(276,1),(337,1),(338,1),(393,1)}
       301:{1,3,7}:{(257,1),(258,1),(277,1),(338,1)}
       302:{2,5}:{(260,1),(266,1),(330,1)}
       303:{1,3,5}:{(261,1),(267,1),(278,1),(332,1),(340,1),(341,1)}
       304:{1,4}:{(262,1),(283,1)}
       305:{1,3,5,7}:{(262,1),(263,1),(265,1),(284,1),(342,1),(343,1),(395,1)}
       306:{1,2,6}:{(263,1),(264,1),(285,1),(343,1),(393,1)}
       307:{1,2,4}:{(266,1),(339,1),(344,1),(394,1)}
       308:{2,3}:{(266,1),(267,1),(344,1)}
       309:{3,6}:{(268,1),(278,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(273,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(280,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(281,1),(348,1)}
       313:{4,5,7}:{(271,1),(275,1),(282,1)}
       314:{2,4,6}:{(272,1),(283,1),(286,1),(334,1),(345,1),(349,1),(350,1),(402,1)}
       315:{2,3,5,7}:{(272,1),(273,1),(277,1),(287,1),(335,1),(346,1),(350,1),(351,1),(352,1),(388,1),(396,1),(398,1),(400,1),(418,1)}
       316:{2,6,7}:{(273,1),(274,1),(285,1)}
       317:{2,5}:{(276,1),(289,1),(337,1)}
       318:{2,4,7}:{(276,1),(277,1),(290,1),(338,1),(352,1)}
       319:{3,4}:{(278,1),(283,1)}
       320:{3,5,7}:{(278,1),(279,1),(346,1),(353,1),(354,1),(401,1)}
       321:{2,4,6}:{(279,1),(280,1),(285,1),(354,1),(355,1),(402,1)}
       322:{1,5,6}:{(280,1),(281,1),(348,1),(355,1),(360,1),(395,1)}
       323:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(353,1),(356,1)}
       324:{2,3,6}:{(284,1),(285,1),(292,1),(343,1),(354,1),(356,1)}
       325:{1,4,5}:{(286,1),(289,1),(349,1),(360,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(350,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(292,1),(351,1),(358,1),(359,1),(426,1)}
       328:{1,3,5,7}:{(289,1),(290,1),(352,1),(357,1),(359,1),(396,1)}
       329:{1,4,6}:{(291,1),(292,1),(356,1),(360,1)}
       330:{2,6}:{(293,1),(302,1),(363,1)}
       331:{1,3,7}:{(293,1),(294,1),(296,1),(363,1)}
       332:{1,3,6}:{(295,1),(303,1),(309,1),(362,1),(365,1)}
       333:{1,2,4,7}:{(295,1),(296,1),(298,1),(310,1),(363,1),(365,1),(367,1),(407,1)}
       334:{1,4,6}:{(297,1),(304,1),(314,1),(366,1),(367,1)}
       335:{1,3,5,7}:{(297,1),(298,1),(301,1),(315,1),(365,1),(367,1),(368,1),(369,1),(410,1)}
       336:{1,2,6,7}:{(298,1),(299,1),(306,1),(316,1),(368,1),(424,1)}
       337:{1,5}:{(300,1),(317,1)}
       338:{1,4,7}:{(300,1),(301,1),(318,1),(369,1)}
       339:{1,2,5}:{(302,1),(307,1),(361,1),(370,1)}
       340:{2,3,5}:{(302,1),(303,1),(308,1),(362,1),(370,1),(371,1),(406,1)}
       341:{1,3,4}:{(303,1),(304,1),(319,1),(371,1)}
       342:{1,4,7}:{(304,1),(305,1),(323,1),(372,1)}
       343:{1,3,6}:{(305,1),(306,1),(324,1),(372,1)}
       344:{1,3}:{(307,1),(308,1)}
       345:{3,4,6}:{(309,1),(314,1),(319,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(321,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(322,1),(376,1)}
       349:{2,4,5}:{(314,1),(317,1),(325,1),(366,1),(373,1),(382,1),(406,1),(415,1)}
       350:{2,4,7}:{(314,1),(315,1),(326,1),(367,1),(374,1),(413,1)}
       351:{2,3,6,7}:{(315,1),(316,1),(324,1),(327,1),(368,1),(375,1),(378,1),(379,1),(411,1),(424,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(380,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(376,1),(381,1),(382,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(380,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(328,1),(377,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(329,1),(378,1),(383,1),(384,1)}
       359:{1,3,6}:{(328,1),(379,1),(383,1),(411,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(330,1),(339,1),(385,1),(386,1)}
       362:{2,3,6}:{(330,1),(332,1),(340,1),(385,1),(387,1),(388,1)}
       363:{2,7}:{(330,1),(331,1)}
       364:{1,3,4,6}:{(332,1),(334,1),(341,1),(345,1),(387,1),(389,1),(390,1),(419,1)}
       365:{1,3,7}:{(332,1),(333,1),(346,1),(388,1)}
       366:{1,4,5}:{(334,1),(337,1),(349,1),(389,1),(395,1)}
       367:{1,4,7}:{(334,1),(335,1),(350,1)}
       368:{1,3,6,7}:{(335,1),(336,1),(343,1),(351,1),(392,1),(393,1),(419,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(385,1),(394,1),(416,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(349,1)}
       374:{3,4,7}:{(345,1),(346,1),(350,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(354,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(355,1),(398,1)}
       377:{2,4,5,7}:{(349,1),(350,1),(352,1),(357,1),(391,1),(396,1),(399,1),(400,1),(418,1),(422,1)}
       378:{2,4,6,7}:{(350,1),(351,1),(356,1),(358,1),(392,1),(397,1),(399,1),(400,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,4,6}:{(353,1),(354,1),(356,1),(401,1),(402,1)}
       381:{3,5,6}:{(354,1),(355,1),(398,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(401,1)}
       383:{1,4,6}:{(357,1),(359,1),(399,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(360,1),(400,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(370,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(363,1),(405,1)}
       387:{2,4,6}:{(362,1),(364,1),(371,1),(404,1),(406,1),(407,1),(424,1)}
       388:{2,3,7}:{(362,1),(363,1),(365,1),(405,1),(407,1)}
       389:{1,3,5}:{(364,1),(366,1),(373,1),(406,1)}
       390:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(407,1),(408,1)}
       391:{1,4,5,7}:{(366,1),(367,1),(369,1),(377,1),(408,1),(409,1),(410,1)}
       392:{1,4,6,7}:{(367,1),(368,1),(372,1),(378,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(381,1),(413,1)}
       399:{2,4,6}:{(377,1),(379,1),(383,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       400:{2,5,7}:{(378,1),(382,1),(384,1),(410,1),(412,1),(414,1)}
       401:{3,5}:{(380,1),(382,1),(415,1)}
       402:{4,6}:{(381,1),(413,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,4,6}:{(385,1),(387,1),(394,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(388,1),(417,1)}
       406:{2,5}:{(387,1),(389,1),(416,1)}
       407:{2,4,7}:{(387,1),(388,1),(390,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(391,1),(393,1),(399,1),(419,1),(420,1)}
       410:{1,5,7}:{(392,1),(395,1),(400,1),(420,1)}
       411:{3,6}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(402,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 550 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 551 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 552 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 553 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 554 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 555 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,2,7}:{(5,1),(23,1),(53,1)}
        13:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(29,1),(30,1),(31,1),(61,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(13,1),(29,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,3,7}:{(12,1),(13,1),(33,1),(37,1),(101,1)}
        24:{1,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1),(70,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(38,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,2,7}:{(17,1),(44,1),(96,1)}
        29:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,3,7}:{(20,1),(23,1),(44,1),(50,1),(53,1),(81,1),(96,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(48,1),(50,1),(51,1),(82,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(51,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,7}:{(23,1),(24,1),(50,1),(54,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(55,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,3,7}:{(28,1),(29,1),(33,1),(60,1),(63,1)}
        45:{1,4,6}:{(29,1),(30,1),(34,1),(60,1),(61,1),(88,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(61,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(91,1),(92,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,4,7}:{(33,1),(34,1),(37,1),(60,1),(64,1),(67,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(68,1),(69,1),(86,1),(91,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,7}:{(37,1),(38,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(71,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,4,7}:{(44,1),(45,1),(50,1),(75,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(76,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,4,7}:{(48,1),(50,1),(79,1),(81,1),(99,1)}
        65:{3,5}:{(48,1),(51,1),(78,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,7}:{(50,1),(51,1),(54,1),(75,1),(79,1),(82,1)}
        68:{2,5,6}:{(51,1),(52,1),(55,1),(76,1),(80,1),(82,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(83,1),(96,1),(99,1)}
        70:{1,6}:{(54,1),(82,1)}
        71:{1,5,7}:{(55,1),(56,1),(83,1),(84,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,7}:{(60,1),(61,1),(67,1),(88,1)}
        76:{1,5,6}:{(61,1),(62,1),(68,1),(88,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(89,1)}
        78:{4,5}:{(65,1),(91,1)}
        79:{3,5,7}:{(64,1),(65,1),(67,1),(90,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(68,1),(91,1),(92,1),(93,1),(102,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,6}:{(67,1),(70,1),(88,1),(92,1)}
        83:{2,5,7}:{(68,1),(69,1),(71,1),(89,1),(93,1),(94,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,6}:{(75,1),(82,1)}
        89:{1,5,7}:{(76,1),(77,1),(83,1),(97,1)}
        90:{4,5,7}:{(78,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,6}:{(78,1),(80,1),(99,1)}
        92:{3,6}:{(79,1),(82,1),(98,1)}
        93:{3,5,7}:{(80,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,6}:{(90,1),(92,1),(102,1)}
        99:{4,7}:{(91,1),(93,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 556 :   0:{1,2,6,7}:{(2,1),(4,1),(146,1),(229,1),(289,1),(298,1)}
         1:{1,2,5,6}:{(3,1),(4,1),(5,1),(71,1),(125,1),(143,1),(146,1),(205,1),(216,1),(289,1)}
         2:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(104,1),(247,1),(328,1)}
         3:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(42,1),(44,1),(87,1),(104,1),(160,1),(247,1),(249,1),(328,1),(388,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(105,1),(166,1),(186,1),(258,1)}
         5:{1,2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(46,1),(184,1),(256,1),(268,1)}
         6:{1,2,6,7}:{(16,1),(18,1),(203,1),(234,1),(284,1),(298,1)}
         7:{1,2,5,6}:{(17,1),(18,1),(19,1),(77,1),(119,1),(148,1),(200,1),(203,1),(216,1),(234,1)}
         8:{2,3,6,7}:{(2,1),(16,1),(20,1),(21,1),(134,1),(146,1),(203,1),(298,1),(305,1),(364,1)}
         9:{2,3,5,6}:{(3,1),(17,1),(21,1),(22,1),(29,1),(57,1),(60,1),(62,1),(71,1),(119,1),(134,1),(146,1),(203,1),(216,1),(223,1),(297,1),(305,1),(369,1),(371,1)}
        10:{1,4,6,7}:{(2,1),(20,1),(23,1),(25,1),(69,1),(362,1)}
        11:{1,3,5,7}:{(2,1),(3,1),(4,1),(21,1),(23,1),(25,1),(28,1),(124,1),(204,1)}
        12:{1,4,6}:{(3,1),(22,1),(24,1),(25,1),(291,1)}
        13:{1,2,4,5}:{(5,1),(24,1),(27,1),(71,1),(74,1),(145,1),(205,1),(220,1),(232,1),(237,1),(291,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(25,1),(28,1),(72,1),(227,1),(296,1),(308,1)}
        15:{1,3,6}:{(5,1),(27,1),(28,1),(29,1),(297,1)}
        16:{1,3,6,7}:{(6,1),(8,1),(30,1),(31,1),(158,1),(190,1),(277,1)}
        17:{1,3,5,6}:{(7,1),(9,1),(31,1),(32,1),(35,1),(50,1),(79,1),(81,1),(106,1),(158,1),(190,1),(192,1),(277,1),(351,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(31,1),(34,1),(112,1),(159,1),(243,1),(258,1)}
        19:{1,2,4,6}:{(7,1),(32,1),(33,1),(34,1),(35,1),(83,1),(241,1),(256,1),(319,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(30,1),(36,1),(37,1),(39,1),(94,1),(341,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(31,1),(37,1),(39,1),(49,1),(86,1),(95,1),(105,1),(159,1),(258,1),(333,1),(389,1)}
        22:{2,4,6}:{(9,1),(12,1),(32,1),(38,1),(39,1),(40,1),(266,1),(394,1)}
        23:{1,5,7}:{(10,1),(37,1),(42,1),(388,1)}
        24:{1,4,5}:{(12,1),(38,1),(44,1),(160,1),(388,1)}
        25:{1,4,7}:{(11,1),(12,1),(39,1)}
        26:{1,3,4,6}:{(12,1),(15,1),(40,1),(44,1),(45,1),(46,1),(47,1),(104,1)}
        27:{1,3,5}:{(13,1),(15,1),(47,1),(48,1),(263,1),(279,1)}
        28:{1,3,7}:{(14,1),(15,1),(49,1),(333,1)}
        29:{2,3,6}:{(15,1),(46,1),(48,1),(49,1),(50,1),(268,1)}
        30:{1,4,6,7}:{(16,1),(20,1),(51,1),(53,1),(117,1),(317,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(18,1),(21,1),(51,1),(53,1),(56,1),(76,1),(147,1)}
        32:{1,4,6}:{(17,1),(22,1),(52,1),(53,1),(236,1)}
        33:{1,2,4,5}:{(19,1),(52,1),(55,1),(119,1),(122,1),(148,1),(202,1),(220,1),(236,1),(287,1),(292,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(53,1),(56,1),(120,1),(282,1),(296,1),(353,1)}
        35:{1,3,6}:{(19,1),(55,1),(56,1),(57,1),(297,1)}
        36:{3,4,6,7}:{(20,1),(59,1),(63,1),(131,1),(134,1),(364,1),(370,1),(408,1)}
        37:{2,5,7}:{(20,1),(23,1),(51,1),(59,1),(60,1),(371,1)}
        38:{2,4,5}:{(22,1),(24,1),(52,1),(62,1),(71,1),(119,1),(371,1),(412,1)}
        39:{2,4,7}:{(21,1),(22,1),(25,1),(53,1),(63,1),(408,1)}
        40:{3,4,6}:{(22,1),(62,1),(63,1),(134,1),(297,1),(304,1)}
        41:{1,4,5,6}:{(24,1),(58,1),(66,1),(67,1),(69,1),(200,1),(213,1),(301,1),(314,1),(378,1)}
        42:{1,5,6}:{(23,1),(60,1),(69,1)}
        43:{1,4,5,7}:{(23,1),(24,1),(25,1),(61,1),(69,1),(70,1),(204,1)}
        44:{1,3,5}:{(24,1),(26,1),(62,1),(71,1)}
        45:{1,3,4,7}:{(25,1),(26,1),(28,1),(63,1),(70,1),(72,1)}
        46:{2,4,6}:{(26,1),(29,1),(71,1),(72,1),(73,1),(74,1),(146,1)}
        47:{1,3,4}:{(27,1),(74,1),(291,1),(304,1)}
        48:{2,3,5}:{(27,1),(29,1),(71,1),(74,1),(75,1),(232,1),(238,1)}
        49:{2,3,7}:{(28,1),(29,1),(72,1),(76,1),(308,1)}
        50:{1,3,6}:{(29,1),(73,1),(75,1),(76,1),(77,1)}
        51:{1,5,7}:{(30,1),(37,1),(79,1),(351,1)}
        52:{1,4,5}:{(32,1),(38,1),(81,1),(106,1),(351,1)}
        53:{1,4,7}:{(31,1),(32,1),(39,1)}
        54:{1,3,4,6}:{(32,1),(35,1),(40,1),(81,1),(82,1),(83,1),(84,1),(158,1)}
        55:{1,3,5}:{(33,1),(35,1),(84,1),(85,1),(263,1),(330,1)}
        56:{1,3,7}:{(34,1),(35,1),(86,1),(333,1)}
        57:{2,3,6}:{(35,1),(83,1),(85,1),(86,1),(87,1),(319,1)}
        58:{2,4,5,6}:{(38,1),(41,1),(78,1),(89,1),(90,1),(94,1),(102,1),(156,1),(169,1),(173,1),(256,1),(260,1),(337,1),(338,1),(393,1),(394,1)}
        59:{3,5,7}:{(36,1),(37,1),(91,1),(92,1),(395,1)}
        60:{2,5,6}:{(37,1),(42,1),(79,1),(91,1),(94,1)}
        61:{2,4,5,7}:{(37,1),(38,1),(39,1),(43,1),(80,1),(92,1),(94,1),(95,1),(105,1),(159,1)}
        62:{3,5}:{(38,1),(40,1)}
        63:{3,4,7}:{(39,1),(40,1),(95,1),(333,1)}
        64:{2,3,4,6}:{(40,1),(46,1),(83,1),(96,1),(97,1),(98,1),(109,1),(163,1),(169,1),(177,1),(181,1),(182,1),(239,1),(266,1),(334,1),(341,1),(345,1),(382,1)}
        65:{1,5,6,7}:{(42,1),(88,1),(100,1),(331,1),(400,1)}
        66:{1,4,5,7}:{(41,1),(89,1),(100,1),(101,1),(243,1),(255,1),(331,1)}
        67:{1,3,5,6}:{(41,1),(44,1),(90,1),(99,1),(101,1),(102,1),(104,1),(347,1),(399,1)}
        68:{1,3,4,5}:{(44,1),(47,1),(93,1),(99,1),(103,1),(176,1),(188,1),(263,1),(276,1),(347,1)}
        69:{1,4,6}:{(42,1),(43,1),(94,1),(104,1),(247,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(45,1),(95,1),(104,1),(105,1)}
        71:{2,5}:{(44,1),(46,1),(106,1)}
        72:{2,4,7}:{(45,1),(46,1),(49,1),(105,1),(107,1)}
        73:{1,4,6}:{(46,1),(50,1),(106,1),(107,1),(110,1),(190,1)}
        74:{2,4}:{(47,1),(48,1),(110,1)}
        75:{1,3,5}:{(48,1),(50,1),(106,1),(110,1),(111,1),(195,1)}
        76:{1,3,7}:{(49,1),(50,1),(107,1),(112,1)}
        77:{1,2,6}:{(50,1),(111,1),(112,1),(268,1)}
        78:{1,4,5,6}:{(52,1),(58,1),(114,1),(115,1),(117,1),(143,1),(213,1),(301,1),(359,1),(407,1)}
        79:{1,5,6}:{(51,1),(60,1),(117,1)}
        80:{1,4,5,7}:{(51,1),(52,1),(53,1),(61,1),(117,1),(118,1),(147,1)}
        81:{1,3,5}:{(52,1),(54,1),(62,1),(119,1)}
        82:{1,3,4,7}:{(53,1),(54,1),(56,1),(63,1),(118,1),(120,1)}
        83:{2,4,6}:{(54,1),(57,1),(119,1),(120,1),(121,1),(122,1),(203,1)}
        84:{1,3,4}:{(55,1),(122,1),(236,1),(304,1)}
        85:{2,3,5}:{(55,1),(57,1),(119,1),(122,1),(123,1),(287,1),(293,1)}
        86:{2,3,7}:{(56,1),(57,1),(120,1),(124,1),(353,1)}
        87:{1,3,6}:{(57,1),(121,1),(123,1),(124,1),(125,1)}
        88:{2,5,6,7}:{(60,1),(65,1),(113,1),(126,1),(128,1),(294,1),(363,1),(411,1)}
        89:{2,4,5,7}:{(58,1),(66,1),(114,1),(128,1),(129,1),(142,1),(199,1),(210,1),(212,1),(294,1),(296,1),(363,1),(408,1)}
        90:{3,5,6}:{(58,1),(62,1),(127,1),(129,1),(134,1),(297,1),(366,1),(410,1)}
        91:{3,5,6}:{(59,1),(60,1),(131,1),(134,1)}
        92:{4,5,7}:{(59,1),(131,1),(408,1),(412,1)}
        93:{3,4,5}:{(62,1),(127,1),(133,1),(304,1),(366,1),(412,1)}
        94:{2,4,6}:{(60,1),(61,1),(69,1),(117,1),(131,1),(134,1),(146,1),(203,1)}
        95:{3,5,7}:{(61,1),(62,1),(63,1),(134,1)}
        96:{2,3,5}:{(62,1),(64,1),(71,1),(119,1),(133,1),(136,1),(366,1),(371,1),(375,1),(404,1)}
        97:{2,3,4,7}:{(63,1),(64,1),(72,1),(120,1),(135,1),(137,1),(212,1),(224,1),(225,1),(280,1),(306,1),(365,1),(374,1),(403,1)}
        98:{1,3,4,6}:{(64,1),(73,1),(121,1),(136,1),(137,1),(138,1),(150,1),(151,1),(207,1),(208,1),(213,1),(221,1),(226,1),(236,1),(281,1),(291,1),(297,1),(304,1),(317,1),(362,1),(370,1),(373,1),(402,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(127,1),(139,1),(140,1),(213,1),(226,1),(297,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(69,1),(128,1),(141,1),(284,1),(378,1)}
       101:{1,3,5,7}:{(66,1),(67,1),(129,1),(139,1),(141,1),(142,1)}
       102:{2,5,6}:{(67,1),(71,1),(140,1),(142,1),(143,1),(146,1),(375,1),(414,1)}
       103:{2,4,5}:{(68,1),(71,1),(74,1),(140,1),(144,1),(145,1),(232,1),(316,1),(375,1)}
       104:{1,3,6}:{(69,1),(70,1),(134,1),(146,1)}
       105:{2,5,7}:{(70,1),(71,1),(72,1),(146,1),(147,1)}
       106:{1,5}:{(71,1),(73,1)}
       107:{1,4,7}:{(72,1),(73,1),(76,1),(147,1)}
       108:{1,2,4,6}:{(73,1),(77,1),(138,1),(148,1),(149,1),(150,1),(152,1),(234,1),(236,1),(292,1),(317,1),(352,1),(402,1)}
       109:{2,3,4}:{(74,1),(144,1),(151,1),(238,1),(304,1),(316,1)}
       110:{1,4}:{(74,1),(75,1)}
       111:{1,2,5}:{(75,1),(77,1),(152,1),(232,1)}
       112:{1,2,7}:{(76,1),(77,1),(308,1)}
       113:{1,5,6,7}:{(79,1),(88,1),(154,1),(331,1),(419,1)}
       114:{1,4,5,7}:{(78,1),(89,1),(154,1),(155,1),(186,1),(255,1),(331,1)}
       115:{1,3,5,6}:{(78,1),(81,1),(90,1),(153,1),(155,1),(156,1),(158,1),(384,1),(418,1)}
       116:{1,3,4,5}:{(81,1),(84,1),(93,1),(153,1),(157,1),(176,1),(245,1),(263,1),(327,1),(384,1)}
       117:{1,4,6}:{(79,1),(80,1),(94,1),(158,1),(190,1)}
       118:{1,3,5,7}:{(80,1),(81,1),(82,1),(95,1),(158,1),(159,1)}
       119:{2,5}:{(81,1),(83,1),(160,1)}
       120:{2,4,7}:{(82,1),(83,1),(86,1),(159,1),(161,1)}
       121:{1,4,6}:{(83,1),(87,1),(160,1),(161,1),(164,1),(247,1)}
       122:{2,4}:{(84,1),(85,1),(164,1)}
       123:{1,3,5}:{(85,1),(87,1),(160,1),(164,1),(165,1),(252,1)}
       124:{1,3,7}:{(86,1),(87,1),(161,1),(166,1)}
       125:{1,2,6}:{(87,1),(165,1),(166,1),(319,1)}
       126:{3,5,6,7}:{(88,1),(91,1),(167,1),(170,1),(253,1),(389,1),(421,1)}
       127:{3,4,6}:{(90,1),(93,1),(168,1),(169,1),(394,1)}
       128:{2,4,6,7}:{(88,1),(89,1),(94,1),(100,1),(154,1),(167,1),(170,1),(185,1),(242,1),(393,1)}
       129:{3,5,7}:{(89,1),(90,1),(168,1),(170,1),(333,1)}
       130:{2,3,5,6}:{(90,1),(96,1),(102,1),(156,1),(169,1),(171,1),(172,1),(177,1),(182,1),(239,1),(260,1)}
       131:{4,6}:{(91,1),(92,1)}
       132:{3,4,5,7}:{(92,1),(93,1),(95,1),(168,1),(174,1),(175,1),(253,1),(340,1),(391,1),(395,1),(420,1)}
       133:{2,4,5}:{(93,1),(96,1),(169,1),(176,1),(266,1)}
       134:{3,6}:{(94,1),(95,1)}
       135:{2,3,5,7}:{(95,1),(96,1),(97,1),(105,1),(159,1),(175,1),(177,1),(178,1),(391,1),(398,1),(417,1)}
       136:{1,3,5}:{(96,1),(98,1),(106,1),(160,1),(176,1),(179,1),(263,1),(351,1),(388,1),(395,1),(397,1),(416,1)}
       137:{1,3,4,7}:{(97,1),(98,1),(107,1),(161,1),(178,1),(180,1),(193,1),(250,1),(255,1),(267,1),(278,1),(318,1),(329,1),(333,1),(340,1),(396,1),(415,1)}
       138:{2,4,6}:{(98,1),(179,1),(180,1),(181,1),(194,1),(251,1),(264,1),(266,1),(268,1),(319,1)}
       139:{1,3,4,7}:{(99,1),(101,1),(168,1),(183,1),(255,1),(267,1),(333,1)}
       140:{2,4,6}:{(99,1),(102,1),(103,1),(182,1),(183,1),(184,1),(268,1)}
       141:{1,3,6,7}:{(100,1),(101,1),(104,1),(170,1),(185,1),(399,1)}
       142:{2,5,7}:{(101,1),(102,1),(183,1),(185,1),(186,1)}
       143:{1,5,6}:{(102,1),(106,1),(184,1),(186,1),(190,1),(397,1),(422,1)}
       144:{2,3,5}:{(103,1),(109,1),(182,1),(188,1),(263,1)}
       145:{1,4,5}:{(103,1),(106,1),(110,1),(184,1),(188,1),(350,1),(397,1)}
       146:{2,6}:{(104,1),(105,1),(190,1)}
       147:{1,5,7}:{(105,1),(106,1),(107,1),(190,1)}
       148:{1,2,5}:{(106,1),(108,1),(179,1),(192,1),(351,1),(416,1)}
       149:{1,2,4,7}:{(107,1),(108,1),(112,1),(180,1),(191,1),(193,1),(278,1),(379,1),(415,1)}
       150:{1,3,6}:{(108,1),(181,1),(192,1),(193,1),(195,1),(330,1)}
       151:{1,3,4}:{(109,1),(110,1),(188,1),(194,1),(195,1),(279,1),(350,1)}
       152:{1,2,4}:{(110,1),(111,1),(194,1),(195,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(127,1),(196,1),(197,1),(213,1),(281,1),(297,1)}
       154:{1,4,6,7}:{(113,1),(114,1),(117,1),(128,1),(198,1),(229,1),(407,1)}
       155:{1,3,5,7}:{(114,1),(115,1),(129,1),(196,1),(198,1),(199,1)}
       156:{2,5,6}:{(115,1),(119,1),(197,1),(199,1),(200,1),(203,1),(404,1),(424,1)}
       157:{2,4,5}:{(116,1),(119,1),(122,1),(197,1),(201,1),(202,1),(287,1),(361,1),(404,1)}
       158:{1,3,6}:{(117,1),(118,1),(134,1),(203,1)}
       159:{2,5,7}:{(118,1),(119,1),(120,1),(203,1),(204,1)}
       160:{1,5}:{(119,1),(121,1)}
       161:{1,4,7}:{(120,1),(121,1),(124,1),(204,1)}
       162:{1,2,4,6}:{(121,1),(125,1),(138,1),(205,1),(206,1),(207,1),(209,1),(237,1),(289,1),(291,1),(307,1),(362,1),(373,1)}
       163:{2,3,4}:{(122,1),(201,1),(208,1),(293,1),(304,1),(361,1)}
       164:{1,4}:{(122,1),(123,1)}
       165:{1,2,5}:{(123,1),(125,1),(209,1),(287,1)}
       166:{1,2,7}:{(124,1),(125,1),(353,1)}
       167:{4,6,7}:{(126,1),(131,1),(210,1),(408,1),(425,1)}
       168:{3,4,7}:{(127,1),(129,1),(212,1),(408,1)}
       169:{2,4,6}:{(127,1),(130,1),(133,1),(212,1),(213,1)}
       170:{3,6,7}:{(128,1),(129,1),(134,1),(410,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(142,1),(199,1),(212,1),(214,1),(215,1),(225,1),(280,1),(294,1)}
       172:{1,3,5,6}:{(130,1),(136,1),(143,1),(200,1),(213,1),(215,1),(216,1),(221,1),(226,1),(281,1),(297,1),(301,1),(369,1)}
       173:{4,5,6}:{(131,1),(210,1),(217,1),(412,1),(425,1)}
       174:{3,4,6}:{(131,1),(132,1),(134,1),(217,1),(218,1),(410,1),(425,1)}
       175:{2,4,5,7}:{(132,1),(133,1),(135,1),(212,1),(218,1),(219,1),(294,1),(306,1),(371,1)}
       176:{1,4,5}:{(133,1),(136,1),(213,1),(220,1),(236,1),(291,1),(412,1)}
       177:{2,3,6}:{(134,1),(135,1),(146,1),(203,1),(218,1),(221,1),(410,1),(414,1),(424,1)}
       178:{1,3,5,7}:{(135,1),(136,1),(137,1),(147,1),(204,1),(219,1),(221,1),(222,1),(303,1),(413,1),(423,1)}
       179:{2,5}:{(136,1),(138,1)}
       180:{2,4,7}:{(137,1),(138,1),(222,1),(224,1),(308,1),(353,1)}
       181:{2,3,6}:{(138,1),(150,1),(207,1),(223,1),(224,1),(238,1),(293,1),(297,1)}
       182:{2,3,6}:{(140,1),(144,1),(225,1),(226,1),(297,1)}
       183:{2,4,7}:{(139,1),(140,1),(142,1),(225,1),(227,1),(308,1)}
       184:{1,4,6}:{(140,1),(143,1),(145,1),(226,1),(227,1)}
       185:{2,6,7}:{(141,1),(142,1),(146,1),(229,1),(414,1)}
       186:{1,5,7}:{(142,1),(143,1),(227,1),(229,1)}
       187:{1,2,5,6}:{(143,1),(148,1),(216,1),(228,1),(230,1),(231,1),(234,1),(352,1),(375,1),(414,1)}
       188:{1,3,5}:{(144,1),(145,1),(151,1),(226,1),(232,1)}
       189:{1,2,4,5}:{(145,1),(148,1),(152,1),(220,1),(228,1),(232,1),(233,1),(236,1),(314,1),(316,1),(375,1)}
       190:{1,6}:{(146,1),(147,1)}
       191:{1,2,5,7}:{(147,1),(148,1),(149,1),(222,1),(234,1),(235,1),(423,1)}
       192:{1,3,5}:{(148,1),(150,1),(223,1),(236,1)}
       193:{1,3,7}:{(149,1),(150,1),(224,1)}
       194:{2,4}:{(151,1),(232,1),(238,1)}
       195:{1,3}:{(152,1),(238,1)}
       196:{1,3,4,7}:{(153,1),(155,1),(168,1),(240,1),(255,1),(318,1),(333,1)}
       197:{2,4,6}:{(153,1),(156,1),(157,1),(239,1),(240,1),(241,1),(319,1)}
       198:{1,3,6,7}:{(154,1),(155,1),(158,1),(170,1),(242,1),(418,1)}
       199:{2,5,7}:{(155,1),(156,1),(240,1),(242,1),(243,1)}
       200:{1,5,6}:{(156,1),(160,1),(241,1),(243,1),(247,1),(416,1),(426,1)}
       201:{2,3,5}:{(157,1),(163,1),(239,1),(245,1),(263,1)}
       202:{1,4,5}:{(157,1),(160,1),(164,1),(241,1),(245,1),(387,1),(416,1)}
       203:{2,6}:{(158,1),(159,1),(247,1)}
       204:{1,5,7}:{(159,1),(160,1),(161,1),(247,1)}
       205:{1,2,5}:{(160,1),(162,1),(179,1),(249,1),(388,1),(397,1)}
       206:{1,2,4,7}:{(161,1),(162,1),(166,1),(180,1),(248,1),(250,1),(329,1),(342,1),(396,1)}
       207:{1,3,6}:{(162,1),(181,1),(249,1),(250,1),(252,1),(279,1)}
       208:{1,3,4}:{(163,1),(164,1),(245,1),(251,1),(252,1),(330,1),(387,1)}
       209:{1,2,4}:{(164,1),(165,1),(251,1),(252,1)}
       210:{4,5,7}:{(167,1),(173,1),(253,1)}
       211:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(253,1),(254,1)}
       212:{2,4,7}:{(168,1),(169,1),(171,1),(255,1)}
       213:{1,4,6}:{(169,1),(172,1),(176,1),(255,1),(256,1),(394,1)}
       214:{2,3,6,7}:{(170,1),(171,1),(177,1),(185,1),(242,1),(254,1),(257,1)}
       215:{1,3,5,7}:{(171,1),(172,1),(186,1),(243,1),(255,1),(257,1),(258,1),(267,1),(318,1),(331,1),(333,1),(389,1)}
       216:{2,5,6}:{(172,1),(179,1),(256,1),(258,1),(264,1),(268,1),(319,1)}
       217:{3,5,6}:{(173,1),(174,1),(253,1),(260,1),(395,1)}
       218:{2,4,6}:{(174,1),(175,1),(177,1),(260,1),(261,1)}
       219:{1,4,5,7}:{(175,1),(176,1),(178,1),(255,1),(261,1),(262,1),(278,1),(329,1),(331,1),(351,1),(388,1)}
       220:{2,4,5}:{(176,1),(179,1),(256,1),(263,1),(266,1)}
       221:{1,3,6}:{(177,1),(178,1),(190,1),(247,1),(261,1),(264,1),(339,1),(422,1),(426,1)}
       222:{2,5,7}:{(178,1),(179,1),(180,1),(264,1)}
       223:{2,3,5}:{(179,1),(181,1),(192,1),(249,1),(263,1),(266,1)}
       224:{2,3,7}:{(180,1),(181,1),(193,1),(250,1),(333,1)}
       225:{2,3,7}:{(182,1),(183,1),(267,1),(333,1)}
       226:{1,3,6}:{(182,1),(184,1),(188,1),(267,1),(268,1)}
       227:{1,4,7}:{(183,1),(184,1),(186,1),(267,1)}
       228:{1,2,4,6}:{(184,1),(187,1),(189,1),(256,1),(268,1),(269,1),(270,1),(273,1),(345,1)}
       229:{1,6,7}:{(185,1),(186,1),(190,1),(422,1)}
       230:{1,2,5,7}:{(186,1),(187,1),(258,1),(269,1),(271,1),(272,1),(379,1),(398,1)}
       231:{1,3,5,6}:{(187,1),(192,1),(259,1),(270,1),(272,1),(273,1),(277,1),(347,1),(351,1),(380,1),(399,1),(400,1),(416,1),(426,1)}
       232:{2,5}:{(188,1),(194,1),(268,1)}
       233:{1,3,5}:{(189,1),(195,1),(263,1),(270,1),(275,1),(276,1)}
       234:{1,2,6}:{(190,1),(191,1),(264,1),(277,1),(426,1)}
       235:{1,3,5,7}:{(191,1),(192,1),(193,1),(265,1),(277,1),(278,1),(351,1)}
       236:{1,4}:{(192,1),(266,1)}
       237:{1,2,4}:{(194,1),(274,1),(279,1),(350,1)}
       238:{2,3}:{(194,1),(195,1),(279,1)}
       239:{2,3,6}:{(197,1),(201,1),(280,1),(281,1),(297,1)}
       240:{2,4,7}:{(196,1),(197,1),(199,1),(280,1),(282,1),(353,1)}
       241:{1,4,6}:{(197,1),(200,1),(202,1),(281,1),(282,1)}
       242:{2,6,7}:{(198,1),(199,1),(203,1),(284,1),(424,1)}
       243:{1,5,7}:{(199,1),(200,1),(282,1),(284,1)}
       244:{1,2,5,6}:{(200,1),(205,1),(216,1),(283,1),(285,1),(286,1),(289,1),(307,1),(404,1),(424,1)}
       245:{1,3,5}:{(201,1),(202,1),(208,1),(281,1),(287,1)}
       246:{1,2,4,5}:{(202,1),(205,1),(209,1),(220,1),(283,1),(287,1),(288,1),(291,1),(359,1),(361,1),(404,1)}
       247:{1,6}:{(203,1),(204,1)}
       248:{1,2,5,7}:{(204,1),(205,1),(206,1),(222,1),(289,1),(290,1),(413,1)}
       249:{1,3,5}:{(205,1),(207,1),(223,1),(291,1)}
       250:{1,3,7}:{(206,1),(207,1),(224,1)}
       251:{2,4}:{(208,1),(287,1),(293,1)}
       252:{1,3}:{(209,1),(293,1)}
       253:{3,5,7}:{(210,1),(211,1),(217,1),(294,1)}
       254:{2,4,6,7}:{(211,1),(212,1),(214,1),(218,1),(294,1),(295,1)}
       255:{1,4,7}:{(212,1),(213,1),(215,1),(296,1),(408,1)}
       256:{2,4,6}:{(213,1),(216,1),(220,1),(296,1),(297,1)}
       257:{1,3,6,7}:{(214,1),(215,1),(221,1),(229,1),(284,1),(295,1),(298,1),(364,1)}
       258:{2,5,7}:{(215,1),(216,1),(296,1),(298,1),(308,1),(353,1)}
       259:{2,3,5,6}:{(216,1),(223,1),(231,1),(286,1),(297,1),(299,1),(300,1),(305,1),(309,1),(354,1),(366,1),(369,1),(371,1),(375,1),(404,1),(410,1),(411,1),(414,1),(424,1)}
       260:{2,5,6}:{(217,1),(218,1),(294,1),(301,1),(371,1)}
       261:{1,4,6}:{(218,1),(219,1),(221,1),(301,1),(302,1)}
       262:{2,4,5,7}:{(219,1),(220,1),(222,1),(296,1),(302,1),(303,1),(306,1),(363,1),(371,1),(408,1),(412,1)}
       263:{3,5}:{(220,1),(297,1),(304,1)}
       264:{2,6}:{(221,1),(222,1)}
       265:{2,3,5,7}:{(222,1),(223,1),(224,1),(235,1),(290,1),(303,1),(305,1),(306,1),(371,1)}
       266:{2,4}:{(223,1),(236,1),(291,1),(304,1)}
       267:{1,3,7}:{(225,1),(226,1),(227,1),(308,1)}
       268:{2,6}:{(226,1),(232,1),(308,1)}
       269:{1,2,4,7}:{(227,1),(228,1),(230,1),(296,1),(308,1),(310,1),(313,1),(374,1)}
       270:{1,3,6}:{(228,1),(233,1),(297,1),(309,1),(310,1)}
       271:{1,2,6,7}:{(229,1),(230,1),(234,1),(298,1),(312,1),(414,1)}
       272:{1,3,5,7}:{(230,1),(231,1),(299,1),(310,1),(312,1),(313,1),(377,1),(401,1),(423,1)}
       273:{1,4,6}:{(231,1),(236,1),(300,1),(313,1),(314,1)}
       274:{1,2,5}:{(232,1),(237,1),(307,1),(315,1)}
       275:{2,3,5}:{(232,1),(233,1),(238,1),(309,1),(315,1),(316,1),(375,1)}
       276:{1,3,4}:{(233,1),(236,1),(304,1),(316,1)}
       277:{1,3,6}:{(234,1),(235,1),(305,1),(317,1)}
       278:{1,4,7}:{(235,1),(236,1),(306,1),(317,1)}
       279:{1,3}:{(237,1),(238,1)}
       280:{2,3,7}:{(239,1),(240,1),(318,1),(333,1)}
       281:{1,3,6}:{(239,1),(241,1),(245,1),(318,1),(319,1)}
       282:{1,4,7}:{(240,1),(241,1),(243,1),(318,1)}
       283:{1,2,4,6}:{(241,1),(244,1),(246,1),(256,1),(319,1),(320,1),(321,1),(324,1),(382,1)}
       284:{1,6,7}:{(242,1),(243,1),(247,1),(426,1)}
       285:{1,2,5,7}:{(243,1),(244,1),(258,1),(320,1),(322,1),(323,1),(342,1),(417,1)}
       286:{1,3,5,6}:{(244,1),(249,1),(259,1),(321,1),(323,1),(324,1),(328,1),(343,1),(384,1),(388,1),(397,1),(418,1),(419,1),(422,1)}
       287:{2,5}:{(245,1),(251,1),(319,1)}
       288:{1,3,5}:{(246,1),(252,1),(263,1),(321,1),(326,1),(327,1)}
       289:{1,2,6}:{(247,1),(248,1),(264,1),(328,1),(422,1)}
       290:{1,3,5,7}:{(248,1),(249,1),(250,1),(265,1),(328,1),(329,1),(388,1)}
       291:{1,4}:{(249,1),(266,1)}
       292:{1,2,4}:{(251,1),(325,1),(330,1),(387,1)}
       293:{2,3}:{(251,1),(252,1),(330,1)}
       294:{2,5,7}:{(253,1),(254,1),(260,1),(331,1)}
       295:{1,4,6,7}:{(254,1),(255,1),(257,1),(261,1),(331,1),(332,1)}
       296:{2,4,7}:{(255,1),(256,1),(258,1),(333,1)}
       297:{3,6}:{(256,1),(263,1),(333,1)}
       298:{2,6,7}:{(257,1),(258,1),(264,1)}
       299:{2,3,5,7}:{(258,1),(259,1),(272,1),(323,1),(333,1),(335,1),(336,1),(344,1),(381,1),(389,1),(391,1),(392,1),(398,1),(417,1)}
       300:{2,4,6}:{(259,1),(266,1),(273,1),(324,1),(334,1),(336,1),(337,1),(394,1)}
       301:{1,5,6}:{(260,1),(261,1),(331,1),(338,1),(351,1),(388,1)}
       302:{2,4,6}:{(261,1),(262,1),(264,1),(338,1),(339,1),(394,1)}
       303:{3,5,7}:{(262,1),(263,1),(333,1),(339,1),(340,1),(395,1)}
       304:{3,4}:{(263,1),(266,1)}
       305:{2,3,6}:{(264,1),(265,1),(277,1),(328,1),(339,1),(341,1)}
       306:{2,4,7}:{(265,1),(266,1),(278,1),(329,1),(340,1),(341,1)}
       307:{1,2,6}:{(268,1),(274,1),(342,1),(343,1)}
       308:{2,7}:{(267,1),(268,1)}
       309:{2,3,6}:{(268,1),(270,1),(275,1),(343,1),(344,1),(345,1)}
       310:{1,3,7}:{(269,1),(270,1),(333,1),(344,1)}
       311:{1,3,4,6}:{(270,1),(273,1),(276,1),(334,1),(345,1),(346,1),(347,1),(399,1)}
       312:{1,3,6,7}:{(271,1),(272,1),(277,1),(335,1),(348,1),(399,1),(426,1)}
       313:{1,4,7}:{(272,1),(273,1),(336,1)}
       314:{1,4,5}:{(273,1),(337,1),(347,1),(351,1),(416,1)}
       315:{1,3,5}:{(274,1),(275,1),(279,1),(343,1),(350,1),(397,1)}
       316:{2,4}:{(275,1),(276,1),(350,1)}
       317:{1,4,6}:{(277,1),(278,1),(341,1),(351,1)}
       318:{1,3,7}:{(280,1),(281,1),(282,1),(353,1)}
       319:{2,6}:{(281,1),(287,1),(353,1)}
       320:{1,2,4,7}:{(282,1),(283,1),(285,1),(296,1),(353,1),(355,1),(358,1),(403,1)}
       321:{1,3,6}:{(283,1),(288,1),(297,1),(354,1),(355,1)}
       322:{1,2,6,7}:{(284,1),(285,1),(289,1),(298,1),(357,1),(424,1)}
       323:{1,3,5,7}:{(285,1),(286,1),(299,1),(355,1),(357,1),(358,1),(372,1),(406,1),(413,1)}
       324:{1,4,6}:{(286,1),(291,1),(300,1),(358,1),(359,1)}
       325:{1,2,5}:{(287,1),(292,1),(352,1),(360,1)}
       326:{2,3,5}:{(287,1),(288,1),(293,1),(354,1),(360,1),(361,1),(404,1)}
       327:{1,3,4}:{(288,1),(291,1),(304,1),(361,1)}
       328:{1,3,6}:{(289,1),(290,1),(305,1),(362,1)}
       329:{1,4,7}:{(290,1),(291,1),(306,1),(362,1)}
       330:{1,3}:{(292,1),(293,1)}
       331:{1,5,7}:{(294,1),(295,1),(301,1),(363,1)}
       332:{2,4,6,7}:{(295,1),(296,1),(298,1),(302,1),(363,1),(364,1),(408,1)}
       333:{3,7}:{(296,1),(297,1)}
       334:{3,4,6}:{(297,1),(300,1),(304,1),(365,1),(366,1),(410,1)}
       335:{2,3,6,7}:{(298,1),(299,1),(305,1),(312,1),(357,1),(364,1),(367,1),(410,1),(414,1),(424,1)}
       336:{2,4,7}:{(299,1),(300,1),(313,1),(358,1),(365,1),(408,1)}
       337:{2,4,5}:{(300,1),(314,1),(359,1),(366,1),(371,1),(375,1),(404,1),(412,1)}
       338:{2,5,6}:{(301,1),(302,1),(363,1),(369,1),(371,1)}
       339:{3,6}:{(302,1),(303,1)}
       340:{3,4,7}:{(303,1),(304,1),(306,1),(370,1),(408,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(370,1),(371,1)}
       342:{1,2,7}:{(307,1),(308,1),(372,1)}
       343:{1,3,6}:{(307,1),(309,1),(315,1),(372,1),(373,1)}
       344:{2,3,7}:{(308,1),(309,1),(310,1),(372,1),(374,1)}
       345:{2,4,6}:{(309,1),(311,1),(316,1),(373,1),(374,1),(375,1),(414,1)}
       346:{1,3,4,7}:{(310,1),(311,1),(313,1),(365,1),(374,1),(376,1)}
       347:{1,3,5}:{(311,1),(314,1),(366,1),(375,1)}
       348:{1,4,6,7}:{(312,1),(313,1),(317,1),(367,1),(377,1),(378,1)}
       349:{1,4,5,7}:{(313,1),(314,1),(368,1),(376,1),(377,1),(378,1),(423,1)}
       350:{1,4}:{(315,1),(316,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(319,1),(325,1),(379,1),(380,1)}
       353:{2,7}:{(318,1),(319,1)}
       354:{2,3,6}:{(319,1),(321,1),(326,1),(380,1),(381,1),(382,1)}
       355:{1,3,7}:{(320,1),(321,1),(333,1),(381,1)}
       356:{1,3,4,6}:{(321,1),(324,1),(327,1),(334,1),(382,1),(383,1),(384,1),(418,1)}
       357:{1,3,6,7}:{(322,1),(323,1),(328,1),(335,1),(385,1),(418,1),(422,1)}
       358:{1,4,7}:{(323,1),(324,1),(336,1)}
       359:{1,4,5}:{(324,1),(337,1),(384,1),(388,1),(397,1)}
       360:{1,3,5}:{(325,1),(326,1),(330,1),(380,1),(387,1),(416,1)}
       361:{2,4}:{(326,1),(327,1),(387,1)}
       362:{1,4,6}:{(328,1),(329,1),(341,1),(388,1)}
       363:{2,5,7}:{(331,1),(332,1),(338,1),(389,1)}
       364:{3,6,7}:{(332,1),(333,1),(339,1),(389,1)}
       365:{3,4,7}:{(333,1),(334,1),(336,1),(391,1)}
       366:{3,5}:{(334,1),(337,1)}
       367:{2,4,6,7}:{(335,1),(336,1),(341,1),(348,1),(385,1),(390,1),(392,1),(393,1)}
       368:{2,4,5,7}:{(336,1),(337,1),(349,1),(386,1),(391,1),(392,1),(393,1),(398,1),(417,1),(420,1)}
       369:{3,5,6}:{(338,1),(339,1),(389,1),(394,1),(395,1)}
       370:{3,4,6}:{(339,1),(340,1),(341,1),(394,1),(395,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(395,1)}
       372:{1,3,7}:{(342,1),(343,1),(344,1),(396,1)}
       373:{1,4,6}:{(343,1),(345,1),(350,1),(396,1),(397,1),(422,1)}
       374:{2,4,7}:{(344,1),(345,1),(346,1),(396,1),(398,1)}
       375:{2,5}:{(345,1),(347,1),(397,1)}
       376:{1,3,5,7}:{(346,1),(347,1),(349,1),(391,1),(398,1),(399,1)}
       377:{1,5,7}:{(348,1),(351,1),(392,1),(400,1)}
       378:{1,4,6}:{(349,1),(393,1),(399,1),(400,1),(426,1)}
       379:{1,2,7}:{(352,1),(353,1),(401,1)}
       380:{1,3,6}:{(352,1),(354,1),(360,1),(401,1),(402,1)}
       381:{2,3,7}:{(353,1),(354,1),(355,1),(401,1),(403,1)}
       382:{2,4,6}:{(354,1),(356,1),(361,1),(402,1),(403,1),(404,1),(424,1)}
       383:{1,3,4,7}:{(355,1),(356,1),(358,1),(365,1),(403,1),(405,1)}
       384:{1,3,5}:{(356,1),(359,1),(366,1),(404,1)}
       385:{1,4,6,7}:{(357,1),(358,1),(362,1),(367,1),(406,1),(407,1)}
       386:{1,4,5,7}:{(358,1),(359,1),(368,1),(405,1),(406,1),(407,1),(413,1)}
       387:{1,4}:{(360,1),(361,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(369,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(367,1),(370,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(368,1),(410,1)}
       392:{2,5,7}:{(367,1),(371,1),(377,1),(406,1),(409,1),(411,1)}
       393:{2,4,6}:{(368,1),(378,1),(407,1),(410,1),(411,1),(414,1),(424,1),(425,1)}
       394:{4,6}:{(369,1),(408,1),(412,1)}
       395:{3,5}:{(370,1),(371,1),(412,1)}
       396:{1,4,7}:{(372,1),(373,1),(374,1),(413,1)}
       397:{1,5}:{(373,1),(375,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(378,1),(410,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(411,1)}
       401:{1,3,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{1,4,6}:{(380,1),(382,1),(387,1),(415,1),(416,1),(426,1)}
       403:{2,4,7}:{(381,1),(382,1),(383,1),(415,1),(417,1)}
       404:{2,5}:{(382,1),(384,1),(416,1)}
       405:{1,3,5,7}:{(383,1),(384,1),(386,1),(391,1),(417,1),(418,1)}
       406:{1,5,7}:{(385,1),(388,1),(392,1),(419,1)}
       407:{1,4,6}:{(386,1),(393,1),(418,1),(419,1),(422,1)}
       408:{4,7}:{(389,1),(394,1)}
       409:{3,5,7}:{(390,1),(392,1),(395,1),(420,1),(421,1)}
       410:{3,6}:{(391,1),(393,1)}
       411:{2,5,6}:{(392,1),(393,1),(400,1),(419,1),(421,1)}
       412:{4,5}:{(394,1),(395,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,4,7}:{(401,1),(402,1),(403,1),(423,1)}
       416:{1,5}:{(402,1),(404,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(407,1),(410,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(411,1)}
       420:{4,5,7}:{(408,1),(409,1),(412,1),(425,1)}
       421:{3,5,6}:{(409,1),(410,1),(411,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 557 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 558 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 559 :   0:{1,2,5,6}:{(1,1),(2,1),(3,1),(62,1),(116,1),(137,1),(143,1),(201,1),(213,1),(292,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(37,1),(78,1),(100,1),(101,1),(154,1),(246,1),(248,1),(330,1),(388,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(9,1),(10,1),(39,1),(180,1),(250,1),(268,1)}
         3:{1,2,5,7}:{(0,1),(8,1),(10,1),(11,1),(99,1),(160,1),(185,1),(260,1)}
         4:{1,2,5,6}:{(12,1),(13,1),(14,1),(68,1),(110,1),(141,1),(197,1),(203,1),(213,1),(235,1)}
         5:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(22,1),(49,1),(52,1),(62,1),(110,1),(126,1),(127,1),(143,1),(203,1),(213,1),(217,1),(293,1),(306,1),(368,1),(371,1)}
         6:{1,2,4,5}:{(2,1),(17,1),(18,1),(58,1),(62,1),(135,1),(201,1),(209,1),(222,1),(225,1),(290,1)}
         7:{1,4,6}:{(1,1),(15,1),(18,1),(20,1),(290,1)}
         8:{1,3,5,7}:{(1,1),(3,1),(16,1),(20,1),(21,1),(23,1),(67,1),(117,1),(202,1)}
         9:{1,3,6}:{(2,1),(17,1),(22,1),(23,1),(293,1)}
        10:{1,2,4,7}:{(2,1),(3,1),(20,1),(23,1),(66,1),(228,1),(294,1),(310,1)}
        11:{1,2,6,7}:{(3,1),(21,1),(143,1),(232,1),(292,1),(304,1)}
        12:{1,3,5,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(42,1),(73,1),(98,1),(156,1),(157,1),(187,1),(189,1),(278,1),(351,1)}
        13:{1,2,4,6}:{(4,1),(24,1),(25,1),(27,1),(28,1),(75,1),(239,1),(250,1),(320,1)}
        14:{1,2,5,7}:{(4,1),(26,1),(28,1),(29,1),(104,1),(155,1),(244,1),(260,1)}
        15:{2,4,6}:{(5,1),(7,1),(25,1),(30,1),(31,1),(32,1),(263,1),(393,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(26,1),(32,1),(33,1),(43,1),(79,1),(84,1),(89,1),(99,1),(155,1),(260,1),(332,1),(391,1)}
        17:{1,3,5}:{(6,1),(9,1),(34,1),(35,1),(254,1),(267,1)}
        18:{1,4,5}:{(7,1),(30,1),(37,1),(154,1),(388,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(31,1),(34,1),(37,1),(39,1),(40,1),(100,1)}
        20:{1,4,7}:{(7,1),(8,1),(32,1)}
        21:{1,3,6,7}:{(8,1),(11,1),(33,1),(41,1),(100,1),(248,1),(330,1)}
        22:{2,3,6}:{(9,1),(35,1),(39,1),(42,1),(43,1),(268,1)}
        23:{1,3,7}:{(9,1),(10,1),(43,1),(332,1)}
        24:{1,2,4,5}:{(13,1),(44,1),(45,1),(106,1),(110,1),(141,1),(195,1),(209,1),(233,1),(279,1),(282,1)}
        25:{1,4,6}:{(12,1),(15,1),(45,1),(47,1),(233,1)}
        26:{1,3,5,7}:{(12,1),(14,1),(16,1),(47,1),(48,1),(50,1),(69,1),(115,1),(142,1)}
        27:{1,3,6}:{(13,1),(44,1),(49,1),(50,1),(293,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(47,1),(50,1),(114,1),(285,1),(294,1),(355,1)}
        29:{1,2,6,7}:{(14,1),(48,1),(203,1),(235,1),(289,1),(304,1)}
        30:{2,4,5}:{(15,1),(18,1),(45,1),(52,1),(62,1),(110,1),(371,1),(411,1)}
        31:{3,4,6}:{(15,1),(52,1),(55,1),(126,1),(293,1),(298,1)}
        32:{2,4,7}:{(15,1),(16,1),(20,1),(47,1),(55,1),(410,1)}
        33:{2,3,6,7}:{(16,1),(21,1),(48,1),(56,1),(126,1),(143,1),(203,1),(304,1),(306,1),(365,1)}
        34:{1,3,4}:{(17,1),(58,1),(290,1),(298,1)}
        35:{2,3,5}:{(17,1),(22,1),(58,1),(59,1),(62,1),(225,1),(226,1)}
        36:{1,4,5,6}:{(18,1),(51,1),(60,1),(61,1),(64,1),(197,1),(206,1),(301,1),(314,1),(377,1)}
        37:{1,3,5}:{(18,1),(19,1),(52,1),(62,1)}
        38:{1,4,5,7}:{(18,1),(20,1),(53,1),(63,1),(64,1),(67,1),(202,1)}
        39:{2,4,6}:{(19,1),(22,1),(58,1),(62,1),(65,1),(66,1),(143,1)}
        40:{1,3,4,7}:{(19,1),(20,1),(23,1),(55,1),(63,1),(66,1)}
        41:{1,4,6,7}:{(20,1),(21,1),(56,1),(64,1),(67,1),(362,1)}
        42:{1,3,6}:{(22,1),(59,1),(65,1),(68,1),(69,1)}
        43:{2,3,7}:{(22,1),(23,1),(66,1),(69,1),(310,1)}
        44:{1,3,5}:{(24,1),(27,1),(70,1),(71,1),(254,1),(319,1)}
        45:{1,4,5}:{(25,1),(30,1),(73,1),(98,1),(351,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(31,1),(70,1),(73,1),(75,1),(76,1),(156,1)}
        47:{1,4,7}:{(25,1),(26,1),(32,1)}
        48:{1,3,6,7}:{(26,1),(29,1),(33,1),(77,1),(156,1),(189,1),(278,1)}
        49:{2,3,6}:{(27,1),(71,1),(75,1),(78,1),(79,1),(320,1)}
        50:{1,3,7}:{(27,1),(28,1),(79,1),(332,1)}
        51:{2,4,5,6}:{(30,1),(36,1),(72,1),(81,1),(82,1),(85,1),(95,1),(151,1),(161,1),(250,1),(257,1),(258,1),(337,1),(338,1),(393,1),(394,1)}
        52:{3,5}:{(30,1),(31,1)}
        53:{2,4,5,7}:{(30,1),(32,1),(38,1),(74,1),(84,1),(85,1),(89,1),(99,1),(155,1),(176,1)}
        54:{2,3,4,6}:{(31,1),(39,1),(75,1),(83,1),(86,1),(87,1),(90,1),(146,1),(161,1),(172,1),(174,1),(177,1),(236,1),(263,1),(331,1),(341,1),(345,1),(382,1)}
        55:{3,4,7}:{(31,1),(32,1),(84,1),(332,1)}
        56:{2,4,6,7}:{(32,1),(33,1),(41,1),(77,1),(85,1),(88,1),(89,1),(341,1)}
        57:{1,3,4,5}:{(34,1),(37,1),(80,1),(91,1),(92,1),(163,1),(178,1),(254,1),(273,1),(347,1)}
        58:{2,4}:{(34,1),(35,1),(93,1)}
        59:{1,3,5}:{(35,1),(42,1),(93,1),(94,1),(98,1),(183,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(81,1),(91,1),(95,1),(96,1),(100,1),(347,1),(399,1)}
        61:{1,4,5,7}:{(36,1),(82,1),(96,1),(97,1),(244,1),(251,1),(334,1)}
        62:{2,5}:{(37,1),(39,1),(98,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(40,1),(84,1),(99,1),(100,1)}
        64:{1,4,6}:{(38,1),(85,1),(100,1),(101,1),(248,1)}
        65:{1,4,6}:{(39,1),(42,1),(93,1),(98,1),(103,1),(189,1)}
        66:{2,4,7}:{(39,1),(40,1),(43,1),(99,1),(103,1)}
        67:{1,5,7}:{(41,1),(89,1),(101,1),(388,1)}
        68:{1,2,6}:{(42,1),(94,1),(104,1),(268,1)}
        69:{1,3,7}:{(42,1),(43,1),(103,1),(104,1)}
        70:{1,3,4}:{(44,1),(106,1),(233,1),(298,1)}
        71:{2,3,5}:{(44,1),(49,1),(106,1),(107,1),(110,1),(282,1),(283,1)}
        72:{1,4,5,6}:{(45,1),(51,1),(108,1),(109,1),(112,1),(137,1),(206,1),(301,1),(359,1),(406,1)}
        73:{1,3,5}:{(45,1),(46,1),(52,1),(110,1)}
        74:{1,4,5,7}:{(45,1),(47,1),(53,1),(111,1),(112,1),(115,1),(142,1)}
        75:{2,4,6}:{(46,1),(49,1),(106,1),(110,1),(113,1),(114,1),(203,1)}
        76:{1,3,4,7}:{(46,1),(47,1),(50,1),(55,1),(111,1),(114,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(56,1),(112,1),(115,1),(317,1)}
        78:{1,3,6}:{(49,1),(107,1),(113,1),(116,1),(117,1)}
        79:{2,3,7}:{(49,1),(50,1),(114,1),(117,1),(355,1)}
        80:{3,4,5}:{(52,1),(118,1),(119,1),(298,1),(363,1),(411,1)}
        81:{3,5,6}:{(51,1),(52,1),(118,1),(122,1),(126,1),(293,1),(363,1),(408,1)}
        82:{2,4,5,7}:{(51,1),(61,1),(109,1),(122,1),(123,1),(138,1),(198,1),(207,1),(294,1),(296,1),(297,1),(366,1),(410,1)}
        83:{2,3,5}:{(52,1),(54,1),(62,1),(110,1),(119,1),(124,1),(363,1),(371,1),(374,1),(403,1)}
        84:{3,5,7}:{(52,1),(53,1),(55,1),(126,1)}
        85:{2,4,6}:{(53,1),(64,1),(112,1),(126,1),(127,1),(143,1),(203,1),(220,1)}
        86:{1,3,4,6}:{(54,1),(65,1),(113,1),(124,1),(128,1),(129,1),(132,1),(144,1),(192,1),(204,1),(206,1),(219,1),(223,1),(233,1),(280,1),(290,1),(293,1),(298,1),(317,1),(362,1),(367,1),(372,1),(401,1)}
        87:{2,3,4,7}:{(54,1),(55,1),(66,1),(114,1),(125,1),(129,1),(207,1),(221,1),(224,1),(281,1),(305,1),(364,1),(375,1),(404,1)}
        88:{3,4,6,7}:{(55,1),(56,1),(126,1),(130,1),(220,1),(365,1),(367,1),(410,1)}
        89:{2,5,7}:{(56,1),(67,1),(115,1),(127,1),(130,1),(371,1)}
        90:{2,3,4}:{(58,1),(131,1),(132,1),(226,1),(298,1),(311,1)}
        91:{1,3,4,6}:{(57,1),(60,1),(118,1),(133,1),(134,1),(206,1),(223,1),(293,1)}
        92:{2,4,5}:{(57,1),(58,1),(62,1),(131,1),(133,1),(135,1),(225,1),(311,1),(374,1)}
        93:{1,4}:{(58,1),(59,1)}
        94:{1,2,5}:{(59,1),(68,1),(136,1),(225,1)}
        95:{2,5,6}:{(60,1),(62,1),(133,1),(137,1),(138,1),(143,1),(374,1),(414,1)}
        96:{1,3,5,7}:{(60,1),(61,1),(122,1),(134,1),(138,1),(139,1)}
        97:{1,4,6,7}:{(61,1),(64,1),(123,1),(139,1),(140,1),(289,1),(377,1)}
        98:{1,5}:{(62,1),(65,1)}
        99:{2,5,7}:{(62,1),(63,1),(66,1),(142,1),(143,1)}
       100:{1,3,6}:{(63,1),(64,1),(126,1),(143,1)}
       101:{1,5,6}:{(64,1),(67,1),(127,1)}
       102:{1,2,4,6}:{(65,1),(68,1),(128,1),(136,1),(141,1),(144,1),(145,1),(233,1),(235,1),(279,1),(317,1),(352,1),(401,1)}
       103:{1,4,7}:{(65,1),(66,1),(69,1),(142,1)}
       104:{1,2,7}:{(68,1),(69,1),(310,1)}
       105:{1,3,4,5}:{(70,1),(73,1),(80,1),(147,1),(148,1),(163,1),(237,1),(254,1),(325,1),(384,1)}
       106:{2,4}:{(70,1),(71,1),(149,1)}
       107:{1,3,5}:{(71,1),(78,1),(149,1),(150,1),(154,1),(242,1)}
       108:{1,3,5,6}:{(72,1),(73,1),(81,1),(147,1),(151,1),(152,1),(156,1),(384,1),(418,1)}
       109:{1,4,5,7}:{(72,1),(82,1),(152,1),(153,1),(185,1),(251,1),(334,1)}
       110:{2,5}:{(73,1),(75,1),(154,1)}
       111:{1,3,5,7}:{(73,1),(74,1),(76,1),(84,1),(155,1),(156,1)}
       112:{1,4,6}:{(74,1),(85,1),(156,1),(157,1),(189,1)}
       113:{1,4,6}:{(75,1),(78,1),(149,1),(154,1),(159,1),(248,1)}
       114:{2,4,7}:{(75,1),(76,1),(79,1),(155,1),(159,1)}
       115:{1,5,7}:{(77,1),(89,1),(157,1),(351,1)}
       116:{1,2,6}:{(78,1),(150,1),(160,1),(320,1)}
       117:{1,3,7}:{(78,1),(79,1),(159,1),(160,1)}
       118:{3,4,6}:{(80,1),(81,1),(161,1),(162,1),(393,1)}
       119:{2,4,5}:{(80,1),(83,1),(161,1),(163,1),(263,1)}
       120:{3,4,5,7}:{(80,1),(84,1),(162,1),(164,1),(165,1),(176,1),(253,1),(335,1),(389,1),(392,1),(421,1)}
       121:{2,3,5,6}:{(81,1),(83,1),(95,1),(151,1),(161,1),(166,1),(167,1),(172,1),(177,1),(236,1),(257,1)}
       122:{3,5,7}:{(81,1),(82,1),(162,1),(168,1),(332,1)}
       123:{2,4,6,7}:{(82,1),(85,1),(97,1),(153,1),(168,1),(169,1),(186,1),(245,1),(262,1),(394,1)}
       124:{1,3,5}:{(83,1),(86,1),(98,1),(154,1),(163,1),(170,1),(254,1),(351,1),(388,1),(392,1),(396,1),(415,1)}
       125:{2,3,5,7}:{(83,1),(84,1),(87,1),(99,1),(155,1),(164,1),(171,1),(172,1),(389,1),(398,1),(417,1)}
       126:{3,6}:{(84,1),(85,1)}
       127:{2,5,6}:{(85,1),(89,1),(101,1),(157,1),(173,1)}
       128:{2,4,6}:{(86,1),(170,1),(174,1),(175,1),(179,1),(238,1),(263,1),(265,1),(268,1),(320,1)}
       129:{1,3,4,7}:{(86,1),(87,1),(103,1),(159,1),(171,1),(175,1),(190,1),(249,1),(251,1),(269,1),(277,1),(321,1),(329,1),(332,1),(335,1),(397,1),(416,1)}
       130:{3,5,7}:{(88,1),(89,1),(173,1),(176,1),(392,1)}
       131:{2,3,5}:{(90,1),(92,1),(177,1),(178,1),(254,1)}
       132:{1,3,4}:{(90,1),(93,1),(178,1),(179,1),(183,1),(267,1),(344,1)}
       133:{2,4,6}:{(91,1),(92,1),(95,1),(177,1),(180,1),(181,1),(268,1)}
       134:{1,3,4,7}:{(91,1),(96,1),(162,1),(181,1),(251,1),(269,1),(332,1)}
       135:{1,4,5}:{(92,1),(93,1),(98,1),(178,1),(180,1),(344,1),(396,1)}
       136:{1,2,4}:{(93,1),(94,1),(179,1),(183,1)}
       137:{1,5,6}:{(95,1),(98,1),(180,1),(185,1),(189,1),(396,1),(422,1)}
       138:{2,5,7}:{(95,1),(96,1),(181,1),(185,1),(186,1)}
       139:{1,3,6,7}:{(96,1),(97,1),(100,1),(168,1),(186,1),(399,1)}
       140:{1,5,6,7}:{(97,1),(101,1),(169,1),(334,1),(400,1)}
       141:{1,2,5}:{(98,1),(102,1),(170,1),(187,1),(351,1),(415,1)}
       142:{1,5,7}:{(98,1),(99,1),(103,1),(189,1)}
       143:{2,6}:{(99,1),(100,1),(189,1)}
       144:{1,3,6}:{(102,1),(174,1),(183,1),(187,1),(190,1),(319,1)}
       145:{1,2,4,7}:{(102,1),(103,1),(104,1),(175,1),(188,1),(190,1),(277,1),(380,1),(416,1)}
       146:{2,3,4}:{(106,1),(191,1),(192,1),(283,1),(298,1),(356,1)}
       147:{1,3,4,6}:{(105,1),(108,1),(118,1),(193,1),(194,1),(206,1),(280,1),(293,1)}
       148:{2,4,5}:{(105,1),(106,1),(110,1),(191,1),(193,1),(195,1),(282,1),(356,1),(403,1)}
       149:{1,4}:{(106,1),(107,1)}
       150:{1,2,5}:{(107,1),(116,1),(196,1),(282,1)}
       151:{2,5,6}:{(108,1),(110,1),(193,1),(197,1),(198,1),(203,1),(403,1),(424,1)}
       152:{1,3,5,7}:{(108,1),(109,1),(122,1),(194,1),(198,1),(199,1)}
       153:{1,4,6,7}:{(109,1),(112,1),(123,1),(199,1),(200,1),(232,1),(406,1)}
       154:{1,5}:{(110,1),(113,1)}
       155:{2,5,7}:{(110,1),(111,1),(114,1),(202,1),(203,1)}
       156:{1,3,6}:{(111,1),(112,1),(126,1),(203,1)}
       157:{1,5,6}:{(112,1),(115,1),(127,1)}
       158:{1,2,4,6}:{(113,1),(116,1),(128,1),(196,1),(201,1),(204,1),(205,1),(222,1),(290,1),(292,1),(307,1),(362,1),(372,1)}
       159:{1,4,7}:{(113,1),(114,1),(117,1),(202,1)}
       160:{1,2,7}:{(116,1),(117,1),(355,1)}
       161:{2,4,6}:{(118,1),(119,1),(121,1),(206,1),(207,1)}
       162:{3,4,7}:{(118,1),(122,1),(207,1),(410,1)}
       163:{1,4,5}:{(119,1),(124,1),(206,1),(209,1),(233,1),(290,1),(411,1)}
       164:{2,4,5,7}:{(119,1),(120,1),(125,1),(207,1),(210,1),(211,1),(296,1),(305,1),(371,1)}
       165:{3,4,6}:{(120,1),(126,1),(211,1),(212,1),(220,1),(408,1),(425,1)}
       166:{1,3,5,6}:{(121,1),(124,1),(137,1),(197,1),(206,1),(213,1),(214,1),(219,1),(223,1),(280,1),(293,1),(301,1),(368,1)}
       167:{2,3,5,7}:{(121,1),(122,1),(138,1),(198,1),(207,1),(214,1),(215,1),(224,1),(281,1),(296,1)}
       168:{3,6,7}:{(122,1),(123,1),(126,1),(408,1)}
       169:{2,5,6,7}:{(123,1),(127,1),(140,1),(200,1),(216,1),(296,1),(366,1),(412,1)}
       170:{2,5}:{(124,1),(128,1)}
       171:{1,3,5,7}:{(124,1),(125,1),(129,1),(142,1),(202,1),(210,1),(218,1),(219,1),(299,1),(413,1),(423,1)}
       172:{2,3,6}:{(125,1),(126,1),(143,1),(203,1),(211,1),(219,1),(408,1),(414,1),(424,1)}
       173:{3,5,6}:{(126,1),(127,1),(130,1),(220,1)}
       174:{2,3,6}:{(128,1),(144,1),(204,1),(217,1),(221,1),(226,1),(283,1),(293,1)}
       175:{2,4,7}:{(128,1),(129,1),(218,1),(221,1),(310,1),(355,1)}
       176:{4,5,7}:{(130,1),(220,1),(410,1),(411,1)}
       177:{2,3,6}:{(131,1),(133,1),(223,1),(224,1),(293,1)}
       178:{1,3,5}:{(131,1),(132,1),(135,1),(223,1),(225,1)}
       179:{2,4}:{(132,1),(225,1),(226,1)}
       180:{1,4,6}:{(133,1),(135,1),(137,1),(223,1),(228,1)}
       181:{2,4,7}:{(133,1),(134,1),(138,1),(224,1),(228,1),(310,1)}
       182:{1,2,4,5}:{(135,1),(136,1),(141,1),(209,1),(225,1),(227,1),(229,1),(233,1),(311,1),(314,1),(374,1)}
       183:{1,3}:{(136,1),(226,1)}
       184:{1,2,5,6}:{(137,1),(141,1),(213,1),(227,1),(230,1),(231,1),(235,1),(352,1),(374,1),(414,1)}
       185:{1,5,7}:{(137,1),(138,1),(228,1),(232,1)}
       186:{2,6,7}:{(138,1),(139,1),(143,1),(232,1),(414,1)}
       187:{1,3,5}:{(141,1),(144,1),(217,1),(233,1)}
       188:{1,2,5,7}:{(141,1),(142,1),(145,1),(218,1),(234,1),(235,1),(423,1)}
       189:{1,6}:{(142,1),(143,1)}
       190:{1,3,7}:{(144,1),(145,1),(221,1)}
       191:{2,3,5}:{(146,1),(148,1),(236,1),(237,1),(254,1)}
       192:{1,3,4}:{(146,1),(149,1),(237,1),(238,1),(242,1),(319,1),(381,1)}
       193:{2,4,6}:{(147,1),(148,1),(151,1),(236,1),(239,1),(240,1),(320,1)}
       194:{1,3,4,7}:{(147,1),(152,1),(162,1),(240,1),(251,1),(321,1),(332,1)}
       195:{1,4,5}:{(148,1),(149,1),(154,1),(237,1),(239,1),(381,1),(415,1)}
       196:{1,2,4}:{(149,1),(150,1),(238,1),(242,1)}
       197:{1,5,6}:{(151,1),(154,1),(239,1),(244,1),(248,1),(415,1),(426,1)}
       198:{2,5,7}:{(151,1),(152,1),(240,1),(244,1),(245,1)}
       199:{1,3,6,7}:{(152,1),(153,1),(156,1),(168,1),(245,1),(418,1)}
       200:{1,5,6,7}:{(153,1),(157,1),(169,1),(334,1),(419,1)}
       201:{1,2,5}:{(154,1),(158,1),(170,1),(246,1),(388,1),(396,1)}
       202:{1,5,7}:{(154,1),(155,1),(159,1),(248,1)}
       203:{2,6}:{(155,1),(156,1),(248,1)}
       204:{1,3,6}:{(158,1),(174,1),(242,1),(246,1),(249,1),(267,1)}
       205:{1,2,4,7}:{(158,1),(159,1),(160,1),(175,1),(247,1),(249,1),(329,1),(343,1),(397,1)}
       206:{1,4,6}:{(161,1),(163,1),(166,1),(250,1),(251,1),(393,1)}
       207:{2,4,7}:{(161,1),(162,1),(167,1),(251,1)}
       208:{3,4,6,7}:{(162,1),(165,1),(168,1),(252,1),(253,1),(262,1)}
       209:{2,4,5}:{(163,1),(170,1),(250,1),(254,1),(263,1)}
       210:{1,4,5,7}:{(163,1),(164,1),(171,1),(251,1),(255,1),(256,1),(277,1),(329,1),(334,1),(351,1),(388,1)}
       211:{2,4,6}:{(164,1),(165,1),(172,1),(256,1),(257,1)}
       212:{3,5,6}:{(165,1),(253,1),(257,1),(258,1),(392,1)}
       213:{2,5,6}:{(166,1),(170,1),(250,1),(260,1),(265,1),(268,1),(320,1)}
       214:{1,3,5,7}:{(166,1),(167,1),(185,1),(244,1),(251,1),(260,1),(261,1),(269,1),(321,1),(332,1),(334,1),(391,1)}
       215:{2,3,6,7}:{(167,1),(168,1),(172,1),(186,1),(245,1),(252,1),(261,1)}
       216:{3,5,6,7}:{(168,1),(169,1),(173,1),(253,1),(262,1),(391,1),(420,1)}
       217:{2,3,5}:{(170,1),(174,1),(187,1),(246,1),(254,1),(263,1)}
       218:{2,5,7}:{(170,1),(171,1),(175,1),(265,1)}
       219:{1,3,6}:{(171,1),(172,1),(189,1),(248,1),(256,1),(265,1),(336,1),(422,1),(426,1)}
       220:{4,6}:{(173,1),(176,1)}
       221:{2,3,7}:{(174,1),(175,1),(190,1),(249,1),(332,1)}
       222:{1,2,4}:{(179,1),(266,1),(267,1),(344,1)}
       223:{1,3,6}:{(177,1),(178,1),(180,1),(268,1),(269,1)}
       224:{2,3,7}:{(177,1),(181,1),(269,1),(332,1)}
       225:{2,5}:{(178,1),(179,1),(268,1)}
       226:{2,3}:{(179,1),(183,1),(267,1)}
       227:{1,2,4,6}:{(180,1),(182,1),(184,1),(250,1),(268,1),(271,1),(272,1),(274,1),(345,1)}
       228:{1,4,7}:{(180,1),(181,1),(185,1),(269,1)}
       229:{1,3,5}:{(182,1),(183,1),(254,1),(270,1),(271,1),(273,1)}
       230:{1,3,5,6}:{(184,1),(187,1),(259,1),(271,1),(274,1),(275,1),(278,1),(347,1),(351,1),(379,1),(399,1),(400,1),(415,1),(426,1)}
       231:{1,2,5,7}:{(184,1),(185,1),(260,1),(272,1),(275,1),(276,1),(380,1),(398,1)}
       232:{1,6,7}:{(185,1),(186,1),(189,1),(422,1)}
       233:{1,4}:{(187,1),(263,1)}
       234:{1,3,5,7}:{(187,1),(188,1),(190,1),(264,1),(277,1),(278,1),(351,1)}
       235:{1,2,6}:{(188,1),(189,1),(265,1),(278,1),(426,1)}
       236:{2,3,6}:{(191,1),(193,1),(280,1),(281,1),(293,1)}
       237:{1,3,5}:{(191,1),(192,1),(195,1),(280,1),(282,1)}
       238:{2,4}:{(192,1),(282,1),(283,1)}
       239:{1,4,6}:{(193,1),(195,1),(197,1),(280,1),(285,1)}
       240:{2,4,7}:{(193,1),(194,1),(198,1),(281,1),(285,1),(355,1)}
       241:{1,2,4,5}:{(195,1),(196,1),(201,1),(209,1),(282,1),(284,1),(286,1),(290,1),(356,1),(359,1),(403,1)}
       242:{1,3}:{(196,1),(283,1)}
       243:{1,2,5,6}:{(197,1),(201,1),(213,1),(284,1),(287,1),(288,1),(292,1),(307,1),(403,1),(424,1)}
       244:{1,5,7}:{(197,1),(198,1),(285,1),(289,1)}
       245:{2,6,7}:{(198,1),(199,1),(203,1),(289,1),(424,1)}
       246:{1,3,5}:{(201,1),(204,1),(217,1),(290,1)}
       247:{1,2,5,7}:{(201,1),(202,1),(205,1),(218,1),(291,1),(292,1),(413,1)}
       248:{1,6}:{(202,1),(203,1)}
       249:{1,3,7}:{(204,1),(205,1),(221,1)}
       250:{2,4,6}:{(206,1),(209,1),(213,1),(293,1),(294,1)}
       251:{1,4,7}:{(206,1),(207,1),(214,1),(294,1),(410,1)}
       252:{2,4,6,7}:{(207,1),(208,1),(211,1),(215,1),(295,1),(296,1)}
       253:{3,5,7}:{(208,1),(212,1),(296,1),(297,1)}
       254:{3,5}:{(209,1),(293,1),(298,1)}
       255:{2,4,5,7}:{(209,1),(210,1),(218,1),(294,1),(299,1),(300,1),(305,1),(366,1),(371,1),(410,1),(411,1)}
       256:{1,4,6}:{(210,1),(211,1),(219,1),(300,1),(301,1)}
       257:{2,5,6}:{(211,1),(212,1),(296,1),(301,1),(371,1)}
       258:{4,5,6}:{(212,1),(220,1),(297,1),(411,1),(425,1)}
       259:{2,3,5,6}:{(213,1),(217,1),(230,1),(287,1),(293,1),(302,1),(303,1),(306,1),(309,1),(354,1),(363,1),(368,1),(371,1),(374,1),(403,1),(408,1),(412,1),(414,1),(424,1)}
       260:{2,5,7}:{(213,1),(214,1),(294,1),(304,1),(310,1),(355,1)}
       261:{1,3,6,7}:{(214,1),(215,1),(219,1),(232,1),(289,1),(295,1),(304,1),(365,1)}
       262:{4,6,7}:{(216,1),(220,1),(297,1),(410,1),(425,1)}
       263:{2,4}:{(217,1),(233,1),(290,1),(298,1)}
       264:{2,3,5,7}:{(217,1),(218,1),(221,1),(234,1),(291,1),(299,1),(305,1),(306,1),(371,1)}
       265:{2,6}:{(218,1),(219,1)}
       266:{1,2,5}:{(222,1),(225,1),(307,1),(308,1)}
       267:{1,3}:{(222,1),(226,1)}
       268:{2,6}:{(223,1),(225,1),(310,1)}
       269:{1,3,7}:{(223,1),(224,1),(228,1),(310,1)}
       270:{2,3,5}:{(225,1),(226,1),(229,1),(308,1),(309,1),(311,1),(374,1)}
       271:{1,3,6}:{(227,1),(229,1),(293,1),(309,1),(313,1)}
       272:{1,2,4,7}:{(227,1),(228,1),(231,1),(294,1),(310,1),(313,1),(315,1),(375,1)}
       273:{1,3,4}:{(229,1),(233,1),(298,1),(311,1)}
       274:{1,4,6}:{(230,1),(233,1),(302,1),(314,1),(315,1)}
       275:{1,3,5,7}:{(230,1),(231,1),(303,1),(313,1),(315,1),(316,1),(378,1),(402,1),(423,1)}
       276:{1,2,6,7}:{(231,1),(232,1),(235,1),(304,1),(316,1),(414,1)}
       277:{1,4,7}:{(233,1),(234,1),(305,1),(317,1)}
       278:{1,3,6}:{(234,1),(235,1),(306,1),(317,1)}
       279:{1,2,4}:{(238,1),(318,1),(319,1),(381,1)}
       280:{1,3,6}:{(236,1),(237,1),(239,1),(320,1),(321,1)}
       281:{2,3,7}:{(236,1),(240,1),(321,1),(332,1)}
       282:{2,5}:{(237,1),(238,1),(320,1)}
       283:{2,3}:{(238,1),(242,1),(319,1)}
       284:{1,2,4,6}:{(239,1),(241,1),(243,1),(250,1),(320,1),(323,1),(324,1),(326,1),(382,1)}
       285:{1,4,7}:{(239,1),(240,1),(244,1),(321,1)}
       286:{1,3,5}:{(241,1),(242,1),(254,1),(322,1),(323,1),(325,1)}
       287:{1,3,5,6}:{(243,1),(246,1),(259,1),(323,1),(326,1),(327,1),(330,1),(342,1),(384,1),(388,1),(396,1),(418,1),(419,1),(422,1)}
       288:{1,2,5,7}:{(243,1),(244,1),(260,1),(324,1),(327,1),(328,1),(343,1),(417,1)}
       289:{1,6,7}:{(244,1),(245,1),(248,1),(426,1)}
       290:{1,4}:{(246,1),(263,1)}
       291:{1,3,5,7}:{(246,1),(247,1),(249,1),(264,1),(329,1),(330,1),(388,1)}
       292:{1,2,6}:{(247,1),(248,1),(265,1),(330,1),(422,1)}
       293:{3,6}:{(250,1),(254,1),(332,1)}
       294:{2,4,7}:{(250,1),(251,1),(260,1),(332,1)}
       295:{1,4,6,7}:{(251,1),(252,1),(256,1),(261,1),(333,1),(334,1)}
       296:{2,5,7}:{(252,1),(253,1),(257,1),(334,1)}
       297:{4,5,7}:{(253,1),(258,1),(262,1)}
       298:{3,4}:{(254,1),(263,1)}
       299:{3,5,7}:{(254,1),(255,1),(332,1),(335,1),(336,1),(392,1)}
       300:{2,4,6}:{(255,1),(256,1),(265,1),(336,1),(337,1),(393,1)}
       301:{1,5,6}:{(256,1),(257,1),(334,1),(337,1),(351,1),(388,1)}
       302:{2,4,6}:{(259,1),(263,1),(274,1),(326,1),(331,1),(338,1),(339,1),(393,1)}
       303:{2,3,5,7}:{(259,1),(260,1),(275,1),(327,1),(332,1),(339,1),(340,1),(346,1),(383,1),(389,1),(391,1),(395,1),(398,1),(417,1)}
       304:{2,6,7}:{(260,1),(261,1),(265,1)}
       305:{2,4,7}:{(263,1),(264,1),(277,1),(329,1),(335,1),(341,1)}
       306:{2,3,6}:{(264,1),(265,1),(278,1),(330,1),(336,1),(341,1)}
       307:{1,2,6}:{(266,1),(268,1),(342,1),(343,1)}
       308:{1,3,5}:{(266,1),(267,1),(270,1),(342,1),(344,1),(396,1)}
       309:{2,3,6}:{(268,1),(270,1),(271,1),(342,1),(345,1),(346,1)}
       310:{2,7}:{(268,1),(269,1)}
       311:{2,4}:{(270,1),(273,1),(344,1)}
       312:{1,3,4,6}:{(271,1),(273,1),(274,1),(331,1),(345,1),(347,1),(348,1),(399,1)}
       313:{1,3,7}:{(271,1),(272,1),(332,1),(346,1)}
       314:{1,4,5}:{(274,1),(338,1),(347,1),(351,1),(415,1)}
       315:{1,4,7}:{(274,1),(275,1),(339,1)}
       316:{1,3,6,7}:{(275,1),(276,1),(278,1),(340,1),(350,1),(399,1),(426,1)}
       317:{1,4,6}:{(277,1),(278,1),(341,1),(351,1)}
       318:{1,2,5}:{(279,1),(282,1),(352,1),(353,1)}
       319:{1,3}:{(279,1),(283,1)}
       320:{2,6}:{(280,1),(282,1),(355,1)}
       321:{1,3,7}:{(280,1),(281,1),(285,1),(355,1)}
       322:{2,3,5}:{(282,1),(283,1),(286,1),(353,1),(354,1),(356,1),(403,1)}
       323:{1,3,6}:{(284,1),(286,1),(293,1),(354,1),(358,1)}
       324:{1,2,4,7}:{(284,1),(285,1),(288,1),(294,1),(355,1),(358,1),(360,1),(404,1)}
       325:{1,3,4}:{(286,1),(290,1),(298,1),(356,1)}
       326:{1,4,6}:{(287,1),(290,1),(302,1),(359,1),(360,1)}
       327:{1,3,5,7}:{(287,1),(288,1),(303,1),(358,1),(360,1),(361,1),(373,1),(407,1),(413,1)}
       328:{1,2,6,7}:{(288,1),(289,1),(292,1),(304,1),(361,1),(424,1)}
       329:{1,4,7}:{(290,1),(291,1),(305,1),(362,1)}
       330:{1,3,6}:{(291,1),(292,1),(306,1),(362,1)}
       331:{3,4,6}:{(293,1),(298,1),(302,1),(363,1),(364,1),(408,1)}
       332:{3,7}:{(293,1),(294,1)}
       333:{2,4,6,7}:{(294,1),(295,1),(300,1),(304,1),(365,1),(366,1),(410,1)}
       334:{1,5,7}:{(295,1),(296,1),(301,1),(366,1)}
       335:{3,4,7}:{(298,1),(299,1),(305,1),(367,1),(410,1)}
       336:{3,6}:{(299,1),(300,1)}
       337:{2,5,6}:{(300,1),(301,1),(366,1),(368,1),(371,1)}
       338:{2,4,5}:{(302,1),(314,1),(359,1),(363,1),(371,1),(374,1),(403,1),(411,1)}
       339:{2,4,7}:{(302,1),(303,1),(315,1),(360,1),(364,1),(410,1)}
       340:{2,3,6,7}:{(303,1),(304,1),(306,1),(316,1),(361,1),(365,1),(370,1),(408,1),(414,1),(424,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(367,1),(371,1)}
       342:{1,3,6}:{(307,1),(308,1),(309,1),(372,1),(373,1)}
       343:{1,2,7}:{(307,1),(310,1),(373,1)}
       344:{1,4}:{(308,1),(311,1)}
       345:{2,4,6}:{(309,1),(311,1),(312,1),(372,1),(374,1),(375,1),(414,1)}
       346:{2,3,7}:{(309,1),(310,1),(313,1),(373,1),(375,1)}
       347:{1,3,5}:{(312,1),(314,1),(363,1),(374,1)}
       348:{1,3,4,7}:{(312,1),(313,1),(315,1),(364,1),(375,1),(376,1)}
       349:{1,4,5,7}:{(314,1),(315,1),(369,1),(376,1),(377,1),(378,1),(423,1)}
       350:{1,4,6,7}:{(315,1),(316,1),(317,1),(370,1),(377,1),(378,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(318,1),(320,1),(379,1),(380,1)}
       353:{1,3,5}:{(318,1),(319,1),(322,1),(379,1),(381,1),(415,1)}
       354:{2,3,6}:{(320,1),(322,1),(323,1),(379,1),(382,1),(383,1)}
       355:{2,7}:{(320,1),(321,1)}
       356:{2,4}:{(322,1),(325,1),(381,1)}
       357:{1,3,4,6}:{(323,1),(325,1),(326,1),(331,1),(382,1),(384,1),(385,1),(418,1)}
       358:{1,3,7}:{(323,1),(324,1),(332,1),(383,1)}
       359:{1,4,5}:{(326,1),(338,1),(384,1),(388,1),(396,1)}
       360:{1,4,7}:{(326,1),(327,1),(339,1)}
       361:{1,3,6,7}:{(327,1),(328,1),(330,1),(340,1),(387,1),(418,1),(422,1)}
       362:{1,4,6}:{(329,1),(330,1),(341,1),(388,1)}
       363:{3,5}:{(331,1),(338,1)}
       364:{3,4,7}:{(331,1),(332,1),(339,1),(389,1)}
       365:{3,6,7}:{(332,1),(333,1),(336,1),(391,1)}
       366:{2,5,7}:{(333,1),(334,1),(337,1),(391,1)}
       367:{3,4,6}:{(335,1),(336,1),(341,1),(392,1),(393,1)}
       368:{3,5,6}:{(336,1),(337,1),(391,1),(392,1),(393,1)}
       369:{2,4,5,7}:{(338,1),(339,1),(349,1),(386,1),(389,1),(394,1),(395,1),(398,1),(417,1),(421,1)}
       370:{2,4,6,7}:{(339,1),(340,1),(341,1),(350,1),(387,1),(390,1),(394,1),(395,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(392,1)}
       372:{1,4,6}:{(342,1),(344,1),(345,1),(396,1),(397,1),(422,1)}
       373:{1,3,7}:{(342,1),(343,1),(346,1),(397,1)}
       374:{2,5}:{(345,1),(347,1),(396,1)}
       375:{2,4,7}:{(345,1),(346,1),(348,1),(397,1),(398,1)}
       376:{1,3,5,7}:{(347,1),(348,1),(349,1),(389,1),(398,1),(399,1)}
       377:{1,4,6}:{(349,1),(394,1),(399,1),(400,1),(426,1)}
       378:{1,5,7}:{(350,1),(351,1),(395,1),(400,1)}
       379:{1,3,6}:{(352,1),(353,1),(354,1),(401,1),(402,1)}
       380:{1,2,7}:{(352,1),(355,1),(402,1)}
       381:{1,4}:{(353,1),(356,1)}
       382:{2,4,6}:{(354,1),(356,1),(357,1),(401,1),(403,1),(404,1),(424,1)}
       383:{2,3,7}:{(354,1),(355,1),(358,1),(402,1),(404,1)}
       384:{1,3,5}:{(357,1),(359,1),(363,1),(403,1)}
       385:{1,3,4,7}:{(357,1),(358,1),(360,1),(364,1),(404,1),(405,1)}
       386:{1,4,5,7}:{(359,1),(360,1),(369,1),(405,1),(406,1),(407,1),(413,1)}
       387:{1,4,6,7}:{(360,1),(361,1),(362,1),(370,1),(406,1),(407,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(369,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(367,1),(370,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(368,1),(410,1)}
       392:{3,5}:{(367,1),(371,1),(411,1)}
       393:{4,6}:{(368,1),(410,1),(411,1)}
       394:{2,4,6}:{(369,1),(377,1),(406,1),(408,1),(412,1),(414,1),(424,1),(425,1)}
       395:{2,5,7}:{(370,1),(371,1),(378,1),(407,1),(409,1),(412,1)}
       396:{1,5}:{(372,1),(374,1)}
       397:{1,4,7}:{(372,1),(373,1),(375,1),(413,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(377,1),(408,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(412,1)}
       401:{1,4,6}:{(379,1),(381,1),(382,1),(415,1),(416,1),(426,1)}
       402:{1,3,7}:{(379,1),(380,1),(383,1),(416,1)}
       403:{2,5}:{(382,1),(384,1),(415,1)}
       404:{2,4,7}:{(382,1),(383,1),(385,1),(416,1),(417,1)}
       405:{1,3,5,7}:{(384,1),(385,1),(386,1),(389,1),(417,1),(418,1)}
       406:{1,4,6}:{(386,1),(394,1),(418,1),(419,1),(422,1)}
       407:{1,5,7}:{(387,1),(388,1),(395,1),(419,1)}
       408:{3,6}:{(389,1),(394,1)}
       409:{3,5,7}:{(390,1),(392,1),(395,1),(420,1),(421,1)}
       410:{4,7}:{(391,1),(393,1)}
       411:{4,5}:{(392,1),(393,1)}
       412:{2,5,6}:{(394,1),(395,1),(400,1),(419,1),(420,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,5}:{(401,1),(403,1)}
       416:{1,4,7}:{(401,1),(402,1),(404,1),(423,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(406,1),(408,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(412,1)}
       420:{3,5,6}:{(408,1),(409,1),(412,1),(425,1)}
       421:{4,5,7}:{(409,1),(410,1),(411,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 560 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 561 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(19,1),(38,1),(52,1),(86,1)}
         1:{1,2,4,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(8,1),(9,1),(35,1),(37,1),(60,1),(109,1),(111,1)}
         3:{1,2,6}:{(0,1),(9,1),(77,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(15,1),(42,1),(51,1),(87,1)}
         5:{2,3,5,7}:{(2,1),(11,1),(13,1),(14,1),(16,1),(39,1),(45,1),(48,1),(52,1),(54,1),(87,1),(89,1)}
         6:{1,3,7}:{(1,1),(16,1),(18,1),(134,1),(185,1)}
         7:{1,2,4,6}:{(1,1),(3,1),(18,1),(19,1),(21,1),(53,1),(57,1)}
         8:{1,4,7}:{(2,1),(13,1),(21,1),(57,1),(133,1)}
         9:{1,3,6}:{(2,1),(3,1),(14,1),(21,1),(131,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(62,1),(76,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(29,1),(66,1),(68,1),(73,1),(75,1)}
        12:{1,2,6}:{(4,1),(25,1),(113,1)}
        13:{2,4,7}:{(5,1),(8,1),(24,1),(26,1),(28,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(9,1),(25,1),(28,1),(69,1),(77,1),(113,1)}
        15:{1,2,7}:{(29,1),(30,1),(178,1),(180,1)}
        16:{2,3,7}:{(6,1),(29,1),(31,1),(32,1),(153,1),(163,1),(180,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(26,1),(31,1),(33,1),(34,1),(130,1),(152,1),(163,1)}
        18:{1,3,6}:{(6,1),(7,1),(32,1),(35,1),(181,1)}
        19:{1,2,5}:{(7,1),(35,1),(37,1),(78,1),(162,1)}
        20:{1,4,5,7}:{(8,1),(27,1),(33,1),(36,1),(37,1),(82,1),(83,1),(109,1),(130,1),(151,1),(174,1)}
        21:{1,4,6}:{(8,1),(9,1),(28,1),(37,1)}
        22:{1,3,7}:{(10,1),(39,1),(41,1),(102,1),(188,1)}
        23:{1,2,4,6}:{(10,1),(12,1),(41,1),(42,1),(44,1),(88,1),(92,1)}
        24:{1,4,7}:{(11,1),(13,1),(44,1),(92,1),(101,1)}
        25:{1,3,6}:{(11,1),(12,1),(14,1),(44,1),(99,1)}
        26:{3,4,7}:{(13,1),(45,1),(46,1),(106,1),(138,1),(141,1)}
        27:{2,4,5,7}:{(13,1),(20,1),(43,1),(45,1),(47,1),(48,1),(52,1),(87,1),(97,1),(98,1),(105,1),(137,1),(141,1),(147,1),(169,1)}
        28:{2,4,6}:{(13,1),(14,1),(21,1),(44,1),(46,1),(48,1)}
        29:{1,3,7}:{(15,1),(16,1),(49,1),(50,1),(168,1)}
        30:{1,2,6}:{(15,1),(50,1),(51,1),(172,1)}
        31:{2,4,7}:{(16,1),(17,1),(49,1),(52,1),(53,1),(167,1)}
        32:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(148,1),(172,1)}
        33:{1,3,5,7}:{(17,1),(20,1),(45,1),(52,1),(55,1),(56,1),(166,1),(182,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(21,1),(46,1),(53,1),(55,1),(56,1),(57,1),(106,1),(108,1),(148,1)}
        35:{1,3,5}:{(18,1),(19,1),(54,1),(57,1),(146,1),(173,1)}
        36:{1,4,6}:{(20,1),(47,1),(55,1),(59,1),(131,1)}
        37:{1,5}:{(21,1),(48,1)}
        38:{1,2,7}:{(60,1),(61,1),(162,1),(186,1)}
        39:{2,3,7}:{(22,1),(60,1),(62,1),(63,1),(126,1),(179,1),(186,1)}
        40:{1,3,4,7}:{(22,1),(24,1),(26,1),(62,1),(64,1),(65,1),(125,1),(157,1),(179,1)}
        41:{1,3,6}:{(22,1),(23,1),(63,1),(66,1),(187,1)}
        42:{1,2,5}:{(23,1),(66,1),(68,1),(114,1),(178,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(64,1),(67,1),(68,1),(73,1),(118,1),(119,1),(124,1),(157,1),(158,1)}
        44:{1,4,6}:{(24,1),(25,1),(28,1),(68,1)}
        45:{3,5,7}:{(26,1),(27,1),(69,1),(70,1),(129,1),(156,1),(163,1),(179,1)}
        46:{3,4,6}:{(26,1),(28,1),(69,1),(70,1),(121,1)}
        47:{2,4,6}:{(27,1),(36,1),(67,1),(69,1),(72,1),(77,1),(113,1),(121,1)}
        48:{2,5}:{(28,1),(37,1),(68,1),(70,1)}
        49:{1,4,7}:{(29,1),(31,1),(73,1),(74,1),(177,1)}
        50:{1,3,6}:{(29,1),(30,1),(32,1),(74,1),(75,1)}
        51:{1,2,5}:{(30,1),(75,1),(76,1),(160,1)}
        52:{2,5,7}:{(31,1),(33,1),(73,1),(77,1),(78,1),(176,1),(186,1)}
        53:{2,4,6}:{(31,1),(32,1),(34,1),(74,1),(77,1),(78,1),(79,1)}
        54:{2,3,5}:{(32,1),(35,1),(75,1),(78,1),(79,1),(126,1),(129,1),(160,1)}
        55:{1,3,6}:{(33,1),(36,1),(69,1),(77,1)}
        56:{1,3,5}:{(34,1),(37,1),(70,1),(78,1),(82,1),(129,1)}
        57:{1,4}:{(35,1),(79,1)}
        58:{1,4,6,7}:{(36,1),(71,1),(80,1),(83,1),(130,1),(149,1),(174,1)}
        59:{1,5,6}:{(36,1),(37,1),(72,1),(83,1)}
        60:{1,3,7}:{(38,1),(39,1),(84,1),(85,1),(146,1)}
        61:{1,2,6}:{(38,1),(85,1),(86,1),(183,1)}
        62:{2,4,7}:{(39,1),(40,1),(84,1),(87,1),(88,1),(145,1)}
        63:{2,3,6}:{(39,1),(41,1),(85,1),(88,1),(89,1),(170,1),(183,1)}
        64:{1,3,5,7}:{(40,1),(43,1),(45,1),(87,1),(90,1),(91,1),(144,1),(171,1)}
        65:{1,3,4,6}:{(40,1),(41,1),(44,1),(46,1),(88,1),(90,1),(91,1),(92,1),(138,1),(140,1),(170,1)}
        66:{1,3,5}:{(41,1),(42,1),(89,1),(92,1),(168,1),(184,1)}
        67:{1,4,6}:{(43,1),(47,1),(90,1),(94,1),(99,1)}
        68:{1,5}:{(44,1),(48,1)}
        69:{3,6}:{(45,1),(47,1)}
        70:{3,5}:{(46,1),(48,1),(97,1)}
        71:{2,4,6,7}:{(47,1),(58,1),(93,1),(95,1),(98,1),(103,1),(135,1),(141,1),(147,1),(169,1)}
        72:{2,5,6}:{(47,1),(48,1),(59,1),(94,1),(96,1),(98,1)}
        73:{1,5,7}:{(49,1),(52,1),(99,1),(100,1),(184,1),(188,1)}
        74:{1,4,6}:{(49,1),(50,1),(53,1),(99,1),(100,1),(101,1)}
        75:{1,3,5}:{(50,1),(51,1),(54,1),(100,1),(101,1),(102,1)}
        76:{1,2,4}:{(51,1),(101,1),(102,1),(145,1)}
        77:{2,6}:{(52,1),(55,1),(99,1)}
        78:{2,5}:{(53,1),(56,1),(100,1)}
        79:{2,4}:{(54,1),(57,1),(101,1),(106,1)}
        80:{1,3,6,7}:{(55,1),(58,1),(95,1),(103,1),(107,1),(182,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(59,1),(96,1),(104,1),(107,1),(108,1),(148,1)}
        82:{1,4,5}:{(56,1),(57,1),(97,1),(105,1),(108,1),(173,1)}
        83:{1,5,7}:{(58,1),(59,1),(98,1)}
        84:{1,4,7}:{(60,1),(62,1),(109,1),(110,1),(161,1)}
        85:{1,3,6}:{(60,1),(61,1),(63,1),(110,1),(111,1)}
        86:{1,2,5}:{(61,1),(111,1),(112,1),(176,1)}
        87:{2,5,7}:{(62,1),(64,1),(109,1),(113,1),(114,1),(160,1),(180,1)}
        88:{2,4,6}:{(62,1),(63,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,5}:{(63,1),(66,1),(111,1),(114,1),(115,1),(153,1),(156,1),(176,1)}
        90:{1,3,6}:{(64,1),(67,1),(69,1),(113,1)}
        91:{1,3,5}:{(65,1),(68,1),(70,1),(114,1),(118,1),(156,1)}
        92:{1,4}:{(66,1),(115,1)}
        93:{1,4,6,7}:{(67,1),(71,1),(116,1),(119,1),(122,1),(157,1),(158,1)}
        94:{1,5,6}:{(67,1),(68,1),(72,1),(119,1)}
        95:{3,6,7}:{(69,1),(71,1),(120,1),(163,1),(179,1)}
        96:{3,5,6}:{(69,1),(70,1),(72,1),(120,1),(121,1)}
        97:{4,5}:{(70,1),(121,1)}
        98:{2,5,7}:{(71,1),(72,1),(83,1),(119,1),(120,1)}
        99:{1,6}:{(73,1),(77,1)}
       100:{1,5}:{(74,1),(78,1)}
       101:{1,4}:{(75,1),(79,1)}
       102:{1,3}:{(76,1),(126,1)}
       103:{2,6,7}:{(77,1),(80,1),(122,1),(127,1),(186,1)}
       104:{2,5,6}:{(77,1),(78,1),(81,1),(123,1),(127,1),(128,1)}
       105:{2,4,5}:{(78,1),(79,1),(82,1),(124,1),(128,1),(129,1),(160,1)}
       106:{3,4}:{(79,1),(129,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(83,1),(120,1),(127,1),(130,1),(163,1)}
       108:{1,4,6}:{(81,1),(82,1),(121,1),(128,1),(130,1),(181,1)}
       109:{1,5,7}:{(84,1),(87,1),(131,1),(132,1),(173,1),(185,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(131,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(86,1),(89,1),(132,1),(133,1),(134,1)}
       112:{1,2,4}:{(86,1),(133,1),(134,1),(167,1)}
       113:{2,6}:{(87,1),(90,1),(131,1)}
       114:{2,5}:{(88,1),(91,1),(132,1)}
       115:{2,4}:{(89,1),(92,1),(133,1),(138,1)}
       116:{1,3,6,7}:{(90,1),(93,1),(95,1),(135,1),(139,1),(171,1)}
       117:{1,3,5,6}:{(90,1),(91,1),(94,1),(96,1),(136,1),(139,1),(140,1),(170,1)}
       118:{1,4,5}:{(91,1),(92,1),(97,1),(137,1),(140,1),(184,1)}
       119:{1,5,7}:{(93,1),(94,1),(98,1)}
       120:{3,5,7}:{(95,1),(96,1),(98,1),(141,1)}
       121:{4,6}:{(96,1),(97,1),(141,1)}
       122:{1,6,7}:{(99,1),(103,1),(142,1),(188,1)}
       123:{1,5,6}:{(99,1),(100,1),(104,1),(142,1),(143,1)}
       124:{1,4,5}:{(100,1),(101,1),(105,1),(143,1),(144,1)}
       125:{1,3,4}:{(101,1),(102,1),(106,1),(144,1),(145,1)}
       126:{2,3}:{(102,1),(145,1),(146,1)}
       127:{2,5,7}:{(103,1),(104,1),(107,1),(142,1),(147,1)}
       128:{2,4,6}:{(104,1),(105,1),(108,1),(143,1),(147,1),(148,1),(172,1)}
       129:{3,5}:{(105,1),(106,1),(148,1)}
       130:{1,4,7}:{(107,1),(108,1),(141,1),(147,1),(185,1)}
       131:{1,6}:{(109,1),(113,1)}
       132:{1,5}:{(110,1),(114,1)}
       133:{1,4}:{(111,1),(115,1)}
       134:{1,3}:{(112,1),(153,1)}
       135:{2,6,7}:{(113,1),(116,1),(149,1),(154,1),(180,1)}
       136:{2,5,6}:{(113,1),(114,1),(117,1),(150,1),(154,1),(155,1)}
       137:{2,4,5}:{(114,1),(115,1),(118,1),(151,1),(155,1),(156,1),(176,1)}
       138:{3,4}:{(115,1),(156,1)}
       139:{1,3,5,7}:{(116,1),(117,1),(119,1),(120,1),(154,1),(157,1),(179,1)}
       140:{1,4,6}:{(117,1),(118,1),(121,1),(155,1),(157,1),(187,1)}
       141:{4,7}:{(120,1),(121,1)}
       142:{1,5,7}:{(122,1),(123,1),(127,1),(158,1)}
       143:{1,4,6}:{(123,1),(124,1),(128,1),(158,1),(159,1)}
       144:{1,3,5}:{(124,1),(125,1),(129,1),(159,1),(160,1)}
       145:{2,4}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,3}:{(126,1),(161,1),(162,1)}
       147:{2,4,7}:{(127,1),(128,1),(130,1),(158,1),(163,1),(180,1)}
       148:{3,6}:{(128,1),(129,1),(163,1)}
       149:{1,6,7}:{(131,1),(135,1),(164,1),(185,1)}
       150:{1,5,6}:{(131,1),(132,1),(136,1),(164,1),(165,1)}
       151:{1,4,5}:{(132,1),(133,1),(137,1),(165,1),(166,1)}
       152:{1,3,4}:{(133,1),(134,1),(138,1),(166,1),(167,1)}
       153:{2,3}:{(134,1),(167,1),(168,1)}
       154:{2,5,7}:{(135,1),(136,1),(139,1),(164,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(140,1),(165,1),(169,1),(170,1),(183,1)}
       156:{3,5}:{(137,1),(138,1),(170,1)}
       157:{1,4,7}:{(139,1),(140,1),(141,1),(169,1),(188,1)}
       158:{1,4,7}:{(142,1),(143,1),(147,1),(171,1)}
       159:{1,3,6}:{(143,1),(144,1),(148,1),(171,1),(172,1)}
       160:{2,5}:{(144,1),(145,1),(172,1),(173,1)}
       161:{1,4}:{(145,1),(146,1),(173,1)}
       162:{1,2}:{(146,1)}
       163:{3,7}:{(147,1),(148,1)}
       164:{1,5,7}:{(149,1),(150,1),(154,1),(174,1)}
       165:{1,4,6}:{(150,1),(151,1),(155,1),(174,1),(175,1)}
       166:{1,3,5}:{(151,1),(152,1),(156,1),(175,1),(176,1)}
       167:{2,4}:{(152,1),(153,1),(176,1),(177,1)}
       168:{1,3}:{(153,1),(177,1),(178,1)}
       169:{2,4,7}:{(154,1),(155,1),(157,1),(174,1),(179,1),(186,1)}
       170:{3,6}:{(155,1),(156,1),(179,1)}
       171:{1,3,7}:{(158,1),(159,1),(163,1),(180,1)}
       172:{2,6}:{(159,1),(160,1),(180,1),(181,1)}
       173:{1,5}:{(160,1),(161,1),(181,1)}
       174:{1,4,7}:{(164,1),(165,1),(169,1),(182,1)}
       175:{1,3,6}:{(165,1),(166,1),(170,1),(182,1),(183,1)}
       176:{2,5}:{(166,1),(167,1),(183,1),(184,1)}
       177:{1,4}:{(167,1),(168,1),(184,1)}
       178:{1,2}:{(168,1)}
       179:{3,7}:{(169,1),(170,1)}
       180:{2,7}:{(171,1),(172,1),(185,1)}
       181:{1,6}:{(172,1),(173,1),(185,1)}
       182:{1,3,7}:{(174,1),(175,1),(179,1),(186,1)}
       183:{2,6}:{(175,1),(176,1),(186,1),(187,1)}
       184:{1,5}:{(176,1),(177,1),(187,1)}
       185:{1,7}:{(180,1),(181,1)}
       186:{2,7}:{(182,1),(183,1),(188,1)}
       187:{1,6}:{(183,1),(184,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 562 :   0:{1,2,5}:{(1,1),(2,1),(3,1),(35,1),(47,1)}
         1:{1,2,4}:{(0,1),(6,1),(9,1),(30,1)}
         2:{1,2,6}:{(0,1),(7,1),(8,1),(65,1)}
         3:{1,3,5}:{(0,1),(5,1),(6,1),(8,1),(9,1),(33,1),(52,1),(84,1)}
         4:{1,2,5}:{(10,1),(11,1),(12,1),(15,1),(70,1)}
         5:{2,3,5}:{(3,1),(12,1),(13,1),(14,1),(16,1),(36,1),(42,1),(44,1),(47,1),(70,1)}
         6:{1,3}:{(1,1),(16,1)}
         7:{1,2,7}:{(2,1),(18,1),(82,1)}
         8:{1,3,6}:{(2,1),(3,1),(13,1),(18,1),(19,1),(95,1)}
         9:{1,4}:{(3,1),(14,1)}
        10:{1,2,4}:{(4,1),(21,1),(24,1),(53,1)}
        11:{1,2,6}:{(4,1),(22,1),(23,1),(85,1)}
        12:{1,3,5}:{(4,1),(5,1),(21,1),(23,1),(24,1),(29,1),(56,1),(64,1)}
        13:{2,3,6}:{(5,1),(8,1),(23,1),(26,1),(27,1),(60,1),(65,1),(85,1)}
        14:{2,4}:{(5,1),(9,1),(24,1),(25,1)}
        15:{1,2}:{(29,1)}
        16:{2,3}:{(6,1),(29,1),(30,1)}
        17:{1,3,4}:{(6,1),(9,1),(25,1),(30,1),(31,1)}
        18:{1,3,7}:{(7,1),(8,1),(26,1),(32,1),(101,1)}
        19:{1,4,6}:{(8,1),(9,1),(27,1),(32,1),(33,1),(67,1)}
        20:{1,4,5}:{(9,1),(28,1),(31,1),(33,1),(34,1),(84,1)}
        21:{1,3}:{(10,1),(36,1)}
        22:{1,2,7}:{(11,1),(38,1),(96,1)}
        23:{1,3,6}:{(11,1),(12,1),(13,1),(38,1),(39,1),(81,1)}
        24:{1,4}:{(12,1),(14,1)}
        25:{3,4}:{(14,1),(42,1)}
        26:{2,3,7}:{(13,1),(18,1),(38,1),(43,1),(78,1),(82,1),(96,1)}
        27:{2,4,6}:{(13,1),(14,1),(19,1),(39,1),(41,1),(43,1),(44,1),(79,1)}
        28:{2,4,5}:{(14,1),(20,1),(40,1),(42,1),(44,1),(45,1),(47,1),(70,1),(75,1)}
        29:{1,3}:{(15,1),(16,1),(46,1)}
        30:{2,4}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,3,5}:{(17,1),(20,1),(42,1),(47,1),(48,1)}
        32:{1,4,7}:{(18,1),(19,1),(43,1),(49,1)}
        33:{1,5}:{(19,1),(44,1)}
        34:{1,4,6}:{(20,1),(45,1),(48,1),(50,1),(51,1),(95,1)}
        35:{1,2}:{(52,1)}
        36:{2,3}:{(21,1),(52,1),(53,1)}
        37:{1,3,4}:{(21,1),(24,1),(25,1),(53,1),(54,1)}
        38:{1,3,7}:{(22,1),(23,1),(26,1),(55,1),(94,1)}
        39:{1,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(87,1)}
        40:{1,4,5}:{(24,1),(28,1),(54,1),(56,1),(57,1),(64,1)}
        41:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(60,1),(90,1),(91,1)}
        42:{3,5}:{(25,1),(28,1),(60,1)}
        43:{2,4,7}:{(26,1),(27,1),(32,1),(55,1),(58,1),(61,1)}
        44:{2,5}:{(27,1),(33,1),(56,1),(59,1)}
        45:{2,4,6}:{(28,1),(34,1),(57,1),(60,1),(62,1),(63,1),(65,1),(85,1),(90,1)}
        46:{1,4}:{(29,1),(30,1),(64,1)}
        47:{2,5}:{(30,1),(31,1),(64,1),(65,1)}
        48:{1,3,6}:{(31,1),(34,1),(60,1),(65,1),(66,1)}
        49:{1,5,7}:{(32,1),(33,1),(61,1),(67,1)}
        50:{1,5,6}:{(33,1),(34,1),(62,1),(67,1),(68,1)}
        51:{1,4,7}:{(34,1),(63,1),(66,1),(68,1),(101,1)}
        52:{1,3}:{(35,1),(36,1),(69,1)}
        53:{2,4}:{(36,1),(37,1),(69,1),(70,1)}
        54:{1,3,5}:{(37,1),(40,1),(42,1),(70,1),(71,1)}
        55:{1,4,7}:{(38,1),(39,1),(43,1),(72,1)}
        56:{1,5}:{(39,1),(44,1)}
        57:{1,4,6}:{(40,1),(45,1),(71,1),(73,1),(74,1),(81,1)}
        58:{3,4,7}:{(41,1),(43,1),(76,1),(78,1),(99,1)}
        59:{3,5}:{(41,1),(44,1),(75,1)}
        60:{3,6}:{(42,1),(45,1),(78,1)}
        61:{2,5,7}:{(43,1),(44,1),(49,1),(72,1),(76,1),(79,1)}
        62:{2,5,6}:{(44,1),(45,1),(50,1),(73,1),(77,1),(79,1),(80,1)}
        63:{2,4,7}:{(45,1),(51,1),(74,1),(78,1),(80,1),(82,1),(96,1),(99,1)}
        64:{1,5}:{(46,1),(47,1),(81,1)}
        65:{2,6}:{(47,1),(48,1),(81,1),(82,1)}
        66:{1,3,7}:{(48,1),(51,1),(78,1),(82,1)}
        67:{1,6}:{(49,1),(79,1)}
        68:{1,5,7}:{(50,1),(51,1),(80,1),(83,1)}
        69:{1,4}:{(52,1),(53,1),(84,1)}
        70:{2,5}:{(53,1),(54,1),(84,1),(85,1)}
        71:{1,3,6}:{(54,1),(57,1),(60,1),(85,1),(86,1)}
        72:{1,5,7}:{(55,1),(56,1),(61,1),(87,1)}
        73:{1,5,6}:{(56,1),(57,1),(62,1),(87,1),(88,1)}
        74:{1,4,7}:{(57,1),(63,1),(86,1),(88,1),(94,1)}
        75:{4,5}:{(59,1),(90,1)}
        76:{3,5,7}:{(58,1),(59,1),(61,1),(89,1),(91,1)}
        77:{3,5,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(92,1),(102,1)}
        78:{3,7}:{(60,1),(63,1)}
        79:{2,6}:{(61,1),(67,1),(87,1),(91,1)}
        80:{2,5,7}:{(62,1),(63,1),(68,1),(88,1),(92,1),(93,1)}
        81:{1,6}:{(64,1),(65,1),(94,1)}
        82:{2,7}:{(65,1),(66,1),(94,1)}
        83:{1,6,7}:{(67,1),(68,1),(93,1)}
        84:{1,5}:{(69,1),(70,1),(95,1)}
        85:{2,6}:{(70,1),(71,1),(95,1),(96,1)}
        86:{1,3,7}:{(71,1),(74,1),(78,1),(96,1)}
        87:{1,6}:{(72,1),(79,1)}
        88:{1,5,7}:{(73,1),(74,1),(80,1),(97,1)}
        89:{4,5,7}:{(75,1),(76,1),(98,1),(99,1),(104,1)}
        90:{4,6}:{(75,1),(77,1),(99,1)}
        91:{3,6}:{(76,1),(79,1),(98,1)}
        92:{3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1),(104,1)}
        93:{2,6,7}:{(79,1),(80,1),(83,1),(97,1),(100,1)}
        94:{1,7}:{(81,1),(82,1)}
        95:{1,6}:{(84,1),(85,1),(101,1)}
        96:{2,7}:{(85,1),(86,1),(101,1)}
        97:{1,6,7}:{(87,1),(88,1),(93,1)}
        98:{4,6}:{(89,1),(91,1),(102,1)}
        99:{4,7}:{(90,1),(92,1)}
       100:{3,6,7}:{(91,1),(92,1),(93,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 563 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(20,1),(47,1),(87,1),(134,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(35,1),(62,1),(107,1),(114,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(9,1),(30,1),(152,1)}
         3:{1,2,6}:{(0,1),(7,1),(72,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(41,1),(53,1),(81,1),(102,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(18,1),(39,1),(42,1),(45,1),(47,1),(55,1),(81,1),(89,1)}
         6:{1,4,7}:{(1,1),(13,1),(17,1),(56,1),(135,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(17,1),(129,1)}
         8:{1,3,7}:{(2,1),(18,1),(19,1),(165,1),(184,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(20,1),(51,1),(56,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(21,1),(22,1),(23,1),(33,1),(61,1),(64,1),(71,1),(78,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(59,1),(125,1)}
        12:{1,2,6}:{(4,1),(22,1),(108,1)}
        13:{2,4,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(7,1),(22,1),(27,1),(66,1),(72,1),(108,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(28,1),(29,1),(32,1),(70,1),(76,1),(107,1),(120,1),(150,1),(171,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(26,1),(28,1),(30,1),(31,1),(120,1),(153,1),(155,1)}
        17:{1,4,6}:{(6,1),(7,1),(27,1),(32,1)}
        18:{2,3,7}:{(8,1),(30,1),(33,1),(34,1),(155,1),(175,1),(177,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(178,1)}
        20:{1,2,5}:{(9,1),(32,1),(35,1),(75,1),(179,1)}
        21:{1,4,7}:{(10,1),(13,1),(38,1),(90,1),(103,1)}
        22:{1,3,6}:{(10,1),(12,1),(14,1),(38,1),(97,1)}
        23:{1,3,7}:{(11,1),(39,1),(40,1),(143,1),(188,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(85,1),(90,1)}
        25:{2,4,5,7}:{(13,1),(15,1),(36,1),(42,1),(43,1),(45,1),(47,1),(81,1),(92,1),(94,1),(101,1),(133,1),(137,1),(139,1),(161,1)}
        26:{3,4,7}:{(13,1),(42,1),(44,1),(104,1),(136,1),(137,1)}
        27:{2,4,6}:{(13,1),(14,1),(17,1),(38,1),(44,1),(45,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1),(52,1),(164,1),(180,1)}
        29:{1,4,6}:{(15,1),(43,1),(48,1),(49,1),(129,1)}
        30:{2,4,7}:{(16,1),(18,1),(47,1),(50,1),(51,1),(166,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(19,1),(44,1),(48,1),(51,1),(52,1),(56,1),(99,1),(104,1),(141,1)}
        32:{1,5}:{(17,1),(45,1)}
        33:{1,3,7}:{(18,1),(50,1),(53,1),(54,1),(183,1)}
        34:{2,3,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(141,1),(168,1)}
        35:{1,3,5}:{(19,1),(20,1),(55,1),(56,1),(169,1),(170,1)}
        36:{1,4,5,7}:{(21,1),(25,1),(57,1),(58,1),(61,1),(71,1),(106,1),(112,1),(123,1),(147,1),(154,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(26,1),(57,1),(59,1),(60,1),(126,1),(147,1),(172,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(61,1)}
        39:{2,3,7}:{(23,1),(59,1),(62,1),(63,1),(158,1),(172,1),(185,1)}
        40:{1,3,6}:{(23,1),(24,1),(63,1),(64,1),(186,1)}
        41:{1,2,5}:{(24,1),(61,1),(64,1),(111,1),(187,1)}
        42:{3,5,7}:{(25,1),(26,1),(66,1),(68,1),(124,1),(151,1),(155,1),(172,1)}
        43:{2,4,6}:{(25,1),(29,1),(58,1),(66,1),(67,1),(72,1),(108,1),(117,1)}
        44:{3,4,6}:{(26,1),(27,1),(66,1),(68,1),(117,1)}
        45:{2,5}:{(27,1),(32,1),(61,1),(68,1)}
        46:{1,4,6,7}:{(29,1),(65,1),(69,1),(70,1),(120,1),(145,1),(171,1)}
        47:{2,5,7}:{(28,1),(30,1),(71,1),(72,1),(75,1),(174,1),(185,1)}
        48:{1,3,6}:{(28,1),(29,1),(66,1),(72,1)}
        49:{1,5,6}:{(29,1),(32,1),(67,1),(70,1)}
        50:{1,4,7}:{(30,1),(33,1),(71,1),(74,1),(176,1)}
        51:{2,4,6}:{(30,1),(31,1),(34,1),(72,1),(74,1),(75,1),(79,1)}
        52:{1,3,5}:{(31,1),(32,1),(68,1),(75,1),(76,1),(124,1)}
        53:{1,2,7}:{(33,1),(77,1),(177,1),(187,1)}
        54:{1,3,6}:{(33,1),(34,1),(74,1),(77,1),(78,1)}
        55:{2,3,5}:{(34,1),(35,1),(75,1),(78,1),(79,1),(124,1),(157,1),(158,1)}
        56:{1,4}:{(35,1),(79,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(42,1),(81,1),(82,1),(86,1),(142,1),(167,1)}
        58:{1,4,6}:{(36,1),(43,1),(82,1),(83,1),(97,1)}
        59:{2,4,7}:{(37,1),(39,1),(81,1),(84,1),(85,1),(144,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(40,1),(44,1),(82,1),(85,1),(86,1),(90,1),(131,1),(136,1),(163,1)}
        61:{1,5}:{(38,1),(45,1)}
        62:{1,3,7}:{(39,1),(84,1),(87,1),(88,1),(170,1)}
        63:{2,3,6}:{(39,1),(40,1),(85,1),(88,1),(89,1),(163,1),(181,1)}
        64:{1,3,5}:{(40,1),(41,1),(89,1),(90,1),(182,1),(183,1)}
        65:{2,4,6,7}:{(43,1),(46,1),(80,1),(91,1),(92,1),(95,1),(127,1),(137,1),(139,1),(161,1)}
        66:{3,6}:{(42,1),(43,1)}
        67:{2,5,6}:{(43,1),(45,1),(49,1),(83,1),(92,1),(93,1)}
        68:{3,5}:{(44,1),(45,1),(94,1)}
        69:{1,3,6,7}:{(46,1),(48,1),(91,1),(95,1),(96,1),(180,1)}
        70:{1,5,7}:{(46,1),(49,1),(92,1)}
        71:{1,5,7}:{(47,1),(50,1),(97,1),(100,1),(182,1),(188,1)}
        72:{2,6}:{(47,1),(48,1),(97,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(52,1),(93,1),(96,1),(98,1),(99,1),(141,1)}
        74:{1,4,6}:{(50,1),(51,1),(54,1),(97,1),(100,1),(103,1)}
        75:{2,5}:{(51,1),(52,1),(100,1)}
        76:{1,4,5}:{(52,1),(56,1),(94,1),(99,1),(101,1),(169,1)}
        77:{1,2,6}:{(53,1),(54,1),(102,1),(168,1)}
        78:{1,3,5}:{(54,1),(55,1),(100,1),(102,1),(103,1),(143,1)}
        79:{2,4}:{(55,1),(56,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(58,1),(65,1),(105,1),(106,1),(118,1),(147,1),(154,1)}
        81:{2,5,7}:{(57,1),(59,1),(107,1),(108,1),(111,1),(157,1),(177,1)}
        82:{1,3,6}:{(57,1),(58,1),(66,1),(108,1)}
        83:{1,5,6}:{(58,1),(61,1),(67,1),(106,1)}
        84:{1,4,7}:{(59,1),(62,1),(107,1),(110,1),(159,1)}
        85:{2,4,6}:{(59,1),(60,1),(63,1),(108,1),(110,1),(111,1),(115,1)}
        86:{1,3,5}:{(60,1),(61,1),(68,1),(111,1),(112,1),(151,1)}
        87:{1,2,7}:{(62,1),(113,1),(179,1),(185,1)}
        88:{1,3,6}:{(62,1),(63,1),(110,1),(113,1),(114,1)}
        89:{2,3,5}:{(63,1),(64,1),(111,1),(114,1),(115,1),(151,1),(174,1),(175,1)}
        90:{1,4}:{(64,1),(115,1)}
        91:{3,6,7}:{(65,1),(66,1),(116,1),(155,1),(172,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1),(106,1),(116,1)}
        93:{3,5,6}:{(66,1),(67,1),(68,1),(116,1),(117,1)}
        94:{4,5}:{(68,1),(117,1)}
        95:{2,6,7}:{(69,1),(72,1),(118,1),(119,1),(185,1)}
        96:{1,3,5,7}:{(69,1),(70,1),(73,1),(116,1),(119,1),(120,1),(155,1)}
        97:{1,6}:{(71,1),(72,1)}
        98:{2,5,6}:{(72,1),(73,1),(75,1),(119,1),(121,1),(122,1)}
        99:{1,4,6}:{(73,1),(76,1),(117,1),(120,1),(122,1),(178,1)}
       100:{1,5}:{(74,1),(75,1)}
       101:{2,4,5}:{(75,1),(76,1),(79,1),(122,1),(123,1),(124,1),(157,1)}
       102:{1,2,5}:{(77,1),(78,1),(125,1),(157,1)}
       103:{1,4}:{(78,1),(79,1)}
       104:{3,4}:{(79,1),(124,1)}
       105:{1,3,6,7}:{(80,1),(82,1),(91,1),(127,1),(128,1),(167,1)}
       106:{1,5,7}:{(80,1),(83,1),(92,1)}
       107:{1,5,7}:{(81,1),(84,1),(129,1),(132,1),(169,1),(184,1)}
       108:{2,6}:{(81,1),(82,1),(129,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(86,1),(93,1),(128,1),(130,1),(131,1),(163,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(129,1),(132,1),(135,1)}
       111:{2,5}:{(85,1),(86,1),(132,1)}
       112:{1,4,5}:{(86,1),(90,1),(94,1),(131,1),(133,1),(182,1)}
       113:{1,2,6}:{(87,1),(88,1),(134,1),(181,1)}
       114:{1,3,5}:{(88,1),(89,1),(132,1),(134,1),(135,1),(165,1)}
       115:{2,4}:{(89,1),(90,1),(135,1),(136,1)}
       116:{3,5,7}:{(91,1),(92,1),(93,1),(137,1)}
       117:{4,6}:{(93,1),(94,1),(137,1)}
       118:{1,6,7}:{(95,1),(97,1),(138,1),(188,1)}
       119:{2,5,7}:{(95,1),(96,1),(98,1),(138,1),(139,1)}
       120:{1,4,7}:{(96,1),(99,1),(137,1),(139,1),(184,1)}
       121:{1,5,6}:{(97,1),(98,1),(100,1),(138,1),(140,1)}
       122:{2,4,6}:{(98,1),(99,1),(101,1),(139,1),(140,1),(141,1),(168,1)}
       123:{1,4,5}:{(100,1),(101,1),(103,1),(140,1),(142,1)}
       124:{3,5}:{(101,1),(104,1),(141,1)}
       125:{1,2,4}:{(102,1),(103,1),(143,1),(144,1)}
       126:{1,3,4}:{(103,1),(104,1),(142,1),(143,1),(144,1)}
       127:{2,6,7}:{(105,1),(108,1),(145,1),(146,1),(177,1)}
       128:{1,3,5,7}:{(105,1),(106,1),(109,1),(116,1),(146,1),(147,1),(172,1)}
       129:{1,6}:{(107,1),(108,1)}
       130:{2,5,6}:{(108,1),(109,1),(111,1),(146,1),(148,1),(149,1)}
       131:{1,4,6}:{(109,1),(112,1),(117,1),(147,1),(149,1),(186,1)}
       132:{1,5}:{(110,1),(111,1)}
       133:{2,4,5}:{(111,1),(112,1),(115,1),(149,1),(150,1),(151,1),(174,1)}
       134:{1,2,5}:{(113,1),(114,1),(152,1),(174,1)}
       135:{1,4}:{(114,1),(115,1)}
       136:{3,4}:{(115,1),(151,1)}
       137:{4,7}:{(116,1),(117,1)}
       138:{1,5,7}:{(118,1),(119,1),(121,1),(154,1)}
       139:{2,4,7}:{(119,1),(120,1),(122,1),(154,1),(155,1),(177,1)}
       140:{1,4,6}:{(121,1),(122,1),(123,1),(154,1),(156,1)}
       141:{3,6}:{(122,1),(124,1),(155,1)}
       142:{1,3,5}:{(123,1),(124,1),(126,1),(156,1),(157,1)}
       143:{1,3}:{(125,1),(158,1)}
       144:{2,4}:{(126,1),(157,1),(158,1),(159,1)}
       145:{1,6,7}:{(127,1),(129,1),(160,1),(184,1)}
       146:{2,5,7}:{(127,1),(128,1),(130,1),(160,1),(161,1)}
       147:{1,4,7}:{(128,1),(131,1),(137,1),(161,1),(188,1)}
       148:{1,5,6}:{(129,1),(130,1),(132,1),(160,1),(162,1)}
       149:{2,4,6}:{(130,1),(131,1),(133,1),(161,1),(162,1),(163,1),(181,1)}
       150:{1,4,5}:{(132,1),(133,1),(135,1),(162,1),(164,1)}
       151:{3,5}:{(133,1),(136,1),(163,1)}
       152:{1,2,4}:{(134,1),(135,1),(165,1),(166,1)}
       153:{1,3,4}:{(135,1),(136,1),(164,1),(165,1),(166,1)}
       154:{1,4,7}:{(138,1),(139,1),(140,1),(167,1)}
       155:{3,7}:{(139,1),(141,1)}
       156:{1,3,6}:{(140,1),(141,1),(142,1),(167,1),(168,1)}
       157:{2,5}:{(142,1),(144,1),(168,1),(169,1)}
       158:{2,3}:{(143,1),(144,1),(170,1)}
       159:{1,4}:{(144,1),(169,1),(170,1)}
       160:{1,5,7}:{(145,1),(146,1),(148,1),(171,1)}
       161:{2,4,7}:{(146,1),(147,1),(149,1),(171,1),(172,1),(185,1)}
       162:{1,4,6}:{(148,1),(149,1),(150,1),(171,1),(173,1)}
       163:{3,6}:{(149,1),(151,1),(172,1)}
       164:{1,3,5}:{(150,1),(151,1),(153,1),(173,1),(174,1)}
       165:{1,3}:{(152,1),(175,1)}
       166:{2,4}:{(153,1),(174,1),(175,1),(176,1)}
       167:{1,3,7}:{(154,1),(155,1),(156,1),(177,1)}
       168:{2,6}:{(156,1),(157,1),(177,1),(178,1)}
       169:{1,5}:{(157,1),(159,1),(178,1)}
       170:{1,3}:{(158,1),(159,1),(179,1)}
       171:{1,4,7}:{(160,1),(161,1),(162,1),(180,1)}
       172:{3,7}:{(161,1),(163,1)}
       173:{1,3,6}:{(162,1),(163,1),(164,1),(180,1),(181,1)}
       174:{2,5}:{(164,1),(166,1),(181,1),(182,1)}
       175:{2,3}:{(165,1),(166,1),(183,1)}
       176:{1,4}:{(166,1),(182,1),(183,1)}
       177:{2,7}:{(167,1),(168,1),(184,1)}
       178:{1,6}:{(168,1),(169,1),(184,1)}
       179:{1,2}:{(170,1)}
       180:{1,3,7}:{(171,1),(172,1),(173,1),(185,1)}
       181:{2,6}:{(173,1),(174,1),(185,1),(186,1)}
       182:{1,5}:{(174,1),(176,1),(186,1)}
       183:{1,3}:{(175,1),(176,1),(187,1)}
       184:{1,7}:{(177,1),(178,1)}
       185:{2,7}:{(180,1),(181,1),(188,1)}
       186:{1,6}:{(181,1),(182,1),(188,1)}
       187:{1,2}:{(183,1)}
       188:{1,7}:{(185,1),(186,1)}

 564 :   0:{1,2,6,7}:{(1,1),(2,1),(100,1),(175,1),(232,1),(247,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(190,1),(273,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(70,1),(119,1),(215,1),(286,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(149,1),(178,1),(229,1),(247,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(92,1),(100,1),(149,1),(247,1),(250,1),(319,1)}
         5:{1,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(44,1),(312,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(17,1),(86,1),(150,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(100,1),(103,1),(157,1),(177,1),(232,1),(236,1),(249,1)}
         8:{1,2,4,7}:{(2,1),(15,1),(16,1),(17,1),(48,1),(255,1),(322,1),(329,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(111,1),(137,1),(220,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(77,1),(112,1),(268,1),(286,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(25,1),(62,1),(290,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(25,1),(32,1),(58,1),(63,1),(70,1),(112,1),(286,1),(351,1),(355,1)}
        13:{1,5,7}:{(5,1),(23,1),(26,1),(346,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(24,1),(26,1),(28,1),(31,1),(69,1),(71,1),(118,1),(190,1),(193,1),(273,1),(277,1),(346,1)}
        15:{1,4,7}:{(6,1),(25,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(72,1),(218,1),(288,1),(297,1)}
        17:{1,3,7}:{(8,1),(31,1),(32,1),(355,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(33,1),(35,1),(79,1),(261,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(35,1),(37,1),(51,1),(101,1)}
        20:{1,2,5,6}:{(10,1),(34,1),(36,1),(108,1),(149,1),(152,1),(178,1),(182,1),(231,1),(249,1)}
        21:{1,2,4,7}:{(10,1),(35,1),(36,1),(37,1),(83,1),(306,1),(322,1),(369,1)}
        22:{3,4,6,7}:{(11,1),(38,1),(42,1),(88,1),(92,1),(319,1),(321,1),(379,1)}
        23:{2,5,7}:{(11,1),(13,1),(33,1),(38,1),(39,1),(327,1)}
        24:{2,3,5,6}:{(12,1),(14,1),(34,1),(39,1),(41,1),(50,1),(85,1),(92,1),(94,1),(100,1),(103,1),(149,1),(152,1),(249,1),(250,1),(253,1),(320,1),(325,1),(327,1)}
        25:{2,4,7}:{(12,1),(15,1),(35,1),(41,1),(42,1),(379,1)}
        26:{1,5,6}:{(13,1),(39,1),(44,1)}
        27:{1,4,5,7}:{(13,1),(15,1),(40,1),(44,1),(45,1),(46,1),(150,1)}
        28:{1,4,6}:{(14,1),(15,1),(41,1),(46,1),(315,1)}
        29:{1,3,4,7}:{(15,1),(17,1),(42,1),(45,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(16,1),(46,1),(49,1),(103,1),(106,1),(181,1),(236,1),(252,1),(262,1),(265,1),(315,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(50,1),(325,1)}
        32:{2,3,7}:{(17,1),(48,1),(50,1),(51,1),(329,1)}
        33:{1,5,7}:{(18,1),(23,1),(52,1),(300,1)}
        34:{1,3,5,6}:{(19,1),(20,1),(24,1),(52,1),(54,1),(57,1),(76,1),(111,1),(113,1),(137,1),(140,1),(220,1),(224,1),(300,1)}
        35:{1,4,7}:{(19,1),(25,1),(54,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(54,1),(56,1),(57,1),(114,1),(271,1),(288,1),(343,1)}
        37:{1,3,7}:{(21,1),(57,1),(58,1),(355,1)}
        38:{3,5,7}:{(22,1),(23,1),(59,1),(60,1),(354,1)}
        39:{2,5,6}:{(23,1),(26,1),(52,1),(59,1),(62,1)}
        40:{2,4,5,7}:{(23,1),(25,1),(27,1),(53,1),(60,1),(62,1),(63,1),(64,1),(70,1),(112,1)}
        41:{2,4,6}:{(24,1),(25,1),(28,1),(54,1),(64,1),(65,1),(292,1),(353,1)}
        42:{3,4,7}:{(25,1),(63,1),(65,1),(355,1)}
        43:{1,5,6,7}:{(26,1),(61,1),(67,1),(280,1),(364,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(69,1),(190,1)}
        45:{1,3,5,7}:{(27,1),(29,1),(63,1),(69,1),(70,1),(71,1)}
        46:{1,4,5}:{(28,1),(64,1),(71,1),(193,1),(346,1)}
        47:{1,3,4,6}:{(28,1),(29,1),(31,1),(65,1),(69,1),(71,1),(72,1),(74,1)}
        48:{2,4,7}:{(29,1),(32,1),(70,1),(72,1),(73,1)}
        49:{1,3,5}:{(30,1),(31,1),(74,1),(75,1),(291,1),(304,1)}
        50:{2,3,6}:{(31,1),(32,1),(72,1),(75,1),(76,1),(297,1)}
        51:{1,3,7}:{(32,1),(73,1),(76,1),(77,1)}
        52:{1,5,6}:{(33,1),(39,1),(79,1)}
        53:{1,4,5,7}:{(33,1),(35,1),(40,1),(79,1),(80,1),(81,1),(101,1)}
        54:{1,4,6}:{(34,1),(35,1),(41,1),(81,1),(264,1)}
        55:{1,3,4,7}:{(35,1),(37,1),(42,1),(80,1),(82,1),(83,1)}
        56:{1,2,4,5}:{(36,1),(81,1),(84,1),(152,1),(155,1),(182,1),(235,1),(252,1),(264,1),(313,1),(316,1)}
        57:{1,3,6}:{(36,1),(37,1),(84,1),(85,1),(325,1)}
        58:{2,3,7}:{(37,1),(83,1),(85,1),(86,1),(369,1)}
        59:{3,5,6}:{(38,1),(39,1),(88,1),(92,1)}
        60:{4,5,7}:{(38,1),(88,1),(379,1),(381,1)}
        61:{2,5,6,7}:{(39,1),(43,1),(78,1),(87,1),(90,1),(240,1),(318,1),(384,1)}
        62:{2,4,6}:{(39,1),(40,1),(44,1),(79,1),(88,1),(92,1),(100,1),(149,1)}
        63:{3,5,7}:{(40,1),(42,1),(92,1),(94,1)}
        64:{2,4,5}:{(41,1),(46,1),(81,1),(94,1),(103,1),(152,1),(327,1),(381,1)}
        65:{3,4,6}:{(41,1),(42,1),(92,1),(94,1),(325,1),(328,1)}
        66:{2,3,4,7}:{(42,1),(48,1),(83,1),(93,1),(95,1),(96,1),(172,1),(245,1),(251,1),(254,1),(305,1),(382,1),(387,1),(410,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(90,1),(97,1),(98,1),(229,1),(389,1)}
        68:{1,4,5,6}:{(44,1),(46,1),(91,1),(97,1),(99,1),(231,1),(242,1),(248,1),(336,1),(389,1)}
        69:{1,3,6}:{(44,1),(45,1),(92,1),(100,1)}
        70:{2,5,7}:{(45,1),(48,1),(100,1),(101,1),(103,1)}
        71:{1,3,5}:{(46,1),(47,1),(94,1),(103,1)}
        72:{2,4,6}:{(47,1),(48,1),(50,1),(100,1),(103,1),(104,1),(106,1)}
        73:{1,4,7}:{(48,1),(51,1),(101,1),(104,1)}
        74:{1,3,4}:{(49,1),(106,1),(315,1),(328,1)}
        75:{2,3,5}:{(49,1),(50,1),(103,1),(106,1),(107,1),(262,1),(266,1)}
        76:{1,3,6}:{(50,1),(51,1),(104,1),(107,1),(108,1)}
        77:{1,2,7}:{(51,1),(108,1),(329,1)}
        78:{1,5,6,7}:{(52,1),(61,1),(109,1),(280,1),(396,1)}
        79:{1,4,6}:{(52,1),(53,1),(62,1),(111,1),(137,1)}
        80:{1,3,5,7}:{(53,1),(55,1),(63,1),(111,1),(112,1),(113,1)}
        81:{1,4,5}:{(54,1),(64,1),(113,1),(140,1),(300,1)}
        82:{1,3,4,6}:{(54,1),(55,1),(57,1),(65,1),(111,1),(113,1),(114,1),(116,1)}
        83:{2,4,7}:{(55,1),(58,1),(112,1),(114,1),(115,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(117,1),(291,1),(350,1)}
        85:{2,3,6}:{(57,1),(58,1),(114,1),(117,1),(118,1),(343,1)}
        86:{1,3,7}:{(58,1),(115,1),(118,1),(119,1)}
        87:{3,5,6,7}:{(59,1),(61,1),(120,1),(125,1),(199,1),(351,1),(402,1)}
        88:{4,6}:{(59,1),(60,1)}
        89:{3,4,5,7}:{(60,1),(63,1),(122,1),(123,1),(129,1),(199,1),(204,1),(284,1),(354,1),(401,1),(403,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(67,1),(109,1),(120,1),(124,1),(125,1),(134,1),(187,1),(404,1)}
        91:{2,4,5,6}:{(62,1),(64,1),(68,1),(110,1),(121,1),(124,1),(126,1),(136,1),(189,1),(201,1),(207,1),(282,1),(288,1),(353,1),(359,1),(404,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{2,3,5,7}:{(63,1),(66,1),(70,1),(112,1),(123,1),(127,1),(128,1),(130,1),(403,1),(406,1),(420,1)}
        94:{3,5}:{(64,1),(65,1)}
        95:{2,3,4,6}:{(65,1),(66,1),(72,1),(114,1),(127,1),(130,1),(131,1),(143,1),(196,1),(207,1),(213,1),(217,1),(270,1),(290,1),(292,1),(358,1),(366,1),(398,1)}
        96:{1,3,4,7}:{(66,1),(73,1),(115,1),(128,1),(131,1),(132,1),(142,1),(195,1),(221,1),(274,1),(284,1),(285,1),(293,1),(339,1),(355,1),(405,1),(419,1)}
        97:{1,4,5,7}:{(67,1),(68,1),(124,1),(133,1),(268,1),(280,1),(285,1)}
        98:{1,3,6,7}:{(67,1),(69,1),(125,1),(133,1),(134,1),(407,1)}
        99:{1,3,5,6}:{(68,1),(69,1),(71,1),(126,1),(133,1),(135,1),(136,1),(367,1),(407,1)}
       100:{2,6}:{(69,1),(70,1),(137,1)}
       101:{1,5,7}:{(70,1),(73,1),(137,1),(140,1)}
       102:{1,3,4,5}:{(71,1),(74,1),(129,1),(135,1),(139,1),(211,1),(222,1),(291,1),(303,1),(367,1)}
       103:{2,5}:{(71,1),(72,1),(140,1)}
       104:{1,4,6}:{(72,1),(73,1),(76,1),(137,1),(140,1),(144,1)}
       105:{1,2,4,7}:{(73,1),(77,1),(132,1),(138,1),(141,1),(142,1),(221,1),(392,1),(419,1)}
       106:{2,4}:{(74,1),(75,1),(144,1)}
       107:{1,3,5}:{(75,1),(76,1),(140,1),(144,1),(145,1),(226,1)}
       108:{1,2,6}:{(76,1),(77,1),(145,1),(297,1)}
       109:{1,4,6,7}:{(78,1),(79,1),(90,1),(146,1),(147,1),(175,1),(412,1)}
       110:{1,4,5,6}:{(79,1),(81,1),(91,1),(146,1),(148,1),(177,1),(242,1),(248,1),(376,1),(412,1)}
       111:{1,3,6}:{(79,1),(80,1),(92,1),(149,1)}
       112:{2,5,7}:{(80,1),(83,1),(149,1),(150,1),(152,1)}
       113:{1,3,5}:{(81,1),(82,1),(94,1),(152,1)}
       114:{2,4,6}:{(82,1),(83,1),(85,1),(149,1),(152,1),(153,1),(155,1)}
       115:{1,4,7}:{(83,1),(86,1),(150,1),(153,1)}
       116:{1,3,4}:{(84,1),(155,1),(264,1),(328,1)}
       117:{2,3,5}:{(84,1),(85,1),(152,1),(155,1),(156,1),(313,1),(317,1)}
       118:{1,3,6}:{(85,1),(86,1),(153,1),(156,1),(157,1)}
       119:{1,2,7}:{(86,1),(157,1),(369,1)}
       120:{4,6,7}:{(87,1),(88,1),(158,1),(379,1),(415,1)}
       121:{4,5,6}:{(88,1),(158,1),(160,1),(381,1),(415,1)}
       122:{3,4,6}:{(88,1),(89,1),(92,1),(160,1),(161,1),(415,1),(416,1)}
       123:{2,4,5,7}:{(89,1),(93,1),(161,1),(162,1),(169,1),(240,1),(245,1),(251,1),(327,1)}
       124:{2,4,5,7}:{(90,1),(91,1),(97,1),(146,1),(158,1),(163,1),(174,1),(228,1),(240,1),(245,1),(318,1),(322,1),(379,1)}
       125:{3,6,7}:{(90,1),(92,1),(163,1),(416,1)}
       126:{3,5,6}:{(91,1),(92,1),(94,1),(163,1),(165,1),(325,1),(385,1),(416,1)}
       127:{2,3,6}:{(92,1),(93,1),(100,1),(149,1),(161,1),(167,1),(416,1),(418,1),(425,1)}
       128:{1,3,5,7}:{(93,1),(96,1),(101,1),(150,1),(162,1),(167,1),(168,1),(170,1),(244,1),(417,1),(424,1)}
       129:{3,4,5}:{(94,1),(165,1),(169,1),(328,1),(381,1),(385,1)}
       130:{2,3,5}:{(94,1),(95,1),(103,1),(152,1),(169,1),(170,1),(327,1),(385,1),(391,1),(414,1)}
       131:{1,3,4,6}:{(95,1),(96,1),(104,1),(153,1),(167,1),(170,1),(171,1),(183,1),(184,1),(237,1),(238,1),(248,1),(258,1),(261,1),(264,1),(309,1),(312,1),(315,1),(321,1),(325,1),(328,1),(390,1),(413,1)}
       132:{2,4,7}:{(96,1),(168,1),(171,1),(172,1),(329,1),(369,1)}
       133:{1,3,5,7}:{(97,1),(98,1),(99,1),(163,1),(173,1),(174,1)}
       134:{2,6,7}:{(98,1),(100,1),(174,1),(175,1),(418,1)}
       135:{1,3,4,6}:{(99,1),(102,1),(165,1),(173,1),(176,1),(248,1),(258,1),(325,1)}
       136:{2,5,6}:{(99,1),(100,1),(103,1),(174,1),(176,1),(177,1),(391,1),(418,1)}
       137:{1,6}:{(100,1),(101,1)}
       138:{1,2,5,7}:{(101,1),(105,1),(168,1),(178,1),(179,1),(182,1),(424,1)}
       139:{2,4,5}:{(102,1),(103,1),(106,1),(176,1),(180,1),(181,1),(262,1),(338,1),(391,1)}
       140:{1,5}:{(103,1),(104,1)}
       141:{1,2,4,6}:{(104,1),(105,1),(108,1),(171,1),(178,1),(182,1),(183,1),(185,1),(261,1),(264,1),(316,1),(373,1),(413,1)}
       142:{1,3,7}:{(105,1),(172,1),(183,1)}
       143:{2,3,4}:{(106,1),(180,1),(184,1),(266,1),(328,1),(338,1)}
       144:{1,4}:{(106,1),(107,1)}
       145:{1,2,5}:{(107,1),(108,1),(185,1),(262,1)}
       146:{1,4,5,7}:{(109,1),(110,1),(124,1),(186,1),(215,1),(280,1),(285,1)}
       147:{1,3,6,7}:{(109,1),(111,1),(125,1),(186,1),(187,1),(421,1)}
       148:{1,3,5,6}:{(110,1),(111,1),(113,1),(126,1),(186,1),(188,1),(189,1),(399,1),(421,1)}
       149:{2,6}:{(111,1),(112,1),(190,1)}
       150:{1,5,7}:{(112,1),(115,1),(190,1),(193,1)}
       151:{1,3,4,5}:{(113,1),(116,1),(129,1),(188,1),(192,1),(211,1),(275,1),(291,1),(349,1),(399,1)}
       152:{2,5}:{(113,1),(114,1),(193,1)}
       153:{1,4,6}:{(114,1),(115,1),(118,1),(190,1),(193,1),(197,1)}
       154:{1,2,4,7}:{(115,1),(119,1),(132,1),(191,1),(194,1),(195,1),(274,1),(360,1),(405,1)}
       155:{2,4}:{(116,1),(117,1),(197,1)}
       156:{1,3,5}:{(117,1),(118,1),(193,1),(197,1),(198,1),(279,1)}
       157:{1,2,6}:{(118,1),(119,1),(198,1),(343,1)}
       158:{4,5,7}:{(120,1),(121,1),(199,1)}
       159:{3,4,6,7}:{(120,1),(122,1),(125,1),(199,1),(200,1),(204,1)}
       160:{3,5,6}:{(121,1),(122,1),(199,1),(201,1),(354,1)}
       161:{2,4,6}:{(122,1),(123,1),(127,1),(201,1),(202,1)}
       162:{1,4,5,7}:{(123,1),(128,1),(202,1),(203,1),(211,1),(221,1),(274,1),(280,1),(285,1),(300,1),(346,1)}
       163:{3,5,7}:{(124,1),(125,1),(126,1),(204,1),(355,1)}
       164:{2,3,6,7}:{(125,1),(127,1),(134,1),(187,1),(200,1),(205,1),(206,1)}
       165:{3,4,6}:{(126,1),(129,1),(204,1),(207,1),(353,1)}
       166:{2,3,5,6}:{(126,1),(127,1),(130,1),(136,1),(189,1),(201,1),(205,1),(207,1),(208,1),(217,1),(270,1)}
       167:{1,3,6}:{(127,1),(128,1),(137,1),(190,1),(202,1),(209,1),(283,1),(423,1),(426,1)}
       168:{2,5,7}:{(128,1),(132,1),(209,1),(212,1)}
       169:{2,4,5}:{(129,1),(130,1),(207,1),(211,1),(292,1)}
       170:{1,3,5}:{(130,1),(131,1),(140,1),(193,1),(211,1),(212,1),(291,1),(300,1),(346,1),(354,1),(408,1),(422,1)}
       171:{2,4,6}:{(131,1),(132,1),(209,1),(212,1),(213,1),(225,1),(278,1),(292,1),(297,1),(343,1)}
       172:{2,3,7}:{(132,1),(142,1),(195,1),(213,1),(355,1)}
       173:{1,3,4,7}:{(133,1),(135,1),(204,1),(214,1),(285,1),(293,1),(355,1)}
       174:{2,5,7}:{(133,1),(134,1),(136,1),(214,1),(215,1)}
       175:{1,6,7}:{(134,1),(137,1),(215,1),(423,1)}
       176:{2,4,6}:{(135,1),(136,1),(139,1),(214,1),(217,1),(218,1),(297,1)}
       177:{1,5,6}:{(136,1),(137,1),(140,1),(215,1),(218,1),(408,1),(423,1)}
       178:{1,2,6}:{(137,1),(138,1),(209,1),(220,1),(426,1)}
       179:{1,3,5,7}:{(138,1),(142,1),(210,1),(220,1),(221,1),(224,1),(300,1)}
       180:{2,3,5}:{(139,1),(143,1),(217,1),(222,1),(291,1)}
       181:{1,4,5}:{(139,1),(140,1),(144,1),(218,1),(222,1),(368,1),(408,1)}
       182:{1,2,5}:{(140,1),(141,1),(212,1),(224,1),(300,1),(422,1)}
       183:{1,3,6}:{(141,1),(142,1),(213,1),(224,1),(226,1),(350,1)}
       184:{1,3,4}:{(143,1),(144,1),(222,1),(225,1),(226,1),(304,1),(368,1)}
       185:{1,2,4}:{(144,1),(145,1),(225,1),(226,1)}
       186:{1,3,5,7}:{(146,1),(147,1),(148,1),(163,1),(227,1),(228,1)}
       187:{2,6,7}:{(147,1),(149,1),(228,1),(229,1),(425,1)}
       188:{1,3,4,6}:{(148,1),(151,1),(165,1),(227,1),(230,1),(248,1),(309,1),(325,1)}
       189:{2,5,6}:{(148,1),(149,1),(152,1),(228,1),(230,1),(231,1),(414,1),(425,1)}
       190:{1,6}:{(149,1),(150,1)}
       191:{1,2,5,7}:{(150,1),(154,1),(168,1),(232,1),(233,1),(236,1),(417,1)}
       192:{2,4,5}:{(151,1),(152,1),(155,1),(230,1),(234,1),(235,1),(313,1),(378,1),(414,1)}
       193:{1,5}:{(152,1),(153,1)}
       194:{1,2,4,6}:{(153,1),(154,1),(157,1),(171,1),(232,1),(236,1),(237,1),(239,1),(265,1),(312,1),(315,1),(333,1),(390,1)}
       195:{1,3,7}:{(154,1),(172,1),(237,1)}
       196:{2,3,4}:{(155,1),(234,1),(238,1),(317,1),(328,1),(378,1)}
       197:{1,4}:{(155,1),(156,1)}
       198:{1,2,5}:{(156,1),(157,1),(239,1),(313,1)}
       199:{3,5,7}:{(158,1),(159,1),(160,1),(240,1)}
       200:{2,4,6,7}:{(159,1),(161,1),(164,1),(240,1),(241,1),(245,1)}
       201:{2,5,6}:{(160,1),(161,1),(240,1),(242,1),(327,1)}
       202:{1,4,6}:{(161,1),(162,1),(167,1),(242,1),(243,1)}
       203:{2,4,5,7}:{(162,1),(168,1),(243,1),(244,1),(251,1),(252,1),(318,1),(322,1),(327,1),(379,1),(381,1)}
       204:{3,4,7}:{(163,1),(165,1),(245,1),(379,1)}
       205:{2,3,5,7}:{(163,1),(164,1),(166,1),(174,1),(228,1),(240,1),(245,1),(246,1),(254,1),(305,1)}
       206:{1,3,6,7}:{(164,1),(167,1),(175,1),(229,1),(241,1),(246,1),(247,1),(319,1)}
       207:{2,4,6}:{(165,1),(166,1),(169,1),(245,1),(248,1)}
       208:{1,3,5,6}:{(166,1),(167,1),(170,1),(177,1),(231,1),(242,1),(246,1),(248,1),(249,1),(258,1),(309,1),(320,1),(325,1)}
       209:{2,6}:{(167,1),(168,1)}
       210:{2,3,5,7}:{(168,1),(172,1),(179,1),(233,1),(244,1),(250,1),(251,1),(253,1),(327,1)}
       211:{1,4,5}:{(169,1),(170,1),(248,1),(252,1),(264,1),(315,1),(381,1)}
       212:{2,5}:{(170,1),(171,1)}
       213:{2,3,6}:{(171,1),(172,1),(183,1),(237,1),(253,1),(266,1),(317,1),(325,1)}
       214:{2,4,7}:{(173,1),(174,1),(176,1),(254,1),(255,1),(329,1)}
       215:{1,5,7}:{(174,1),(175,1),(177,1),(255,1)}
       216:{1,2,6,7}:{(175,1),(178,1),(247,1),(256,1),(257,1),(418,1)}
       217:{2,3,6}:{(176,1),(180,1),(254,1),(258,1),(325,1)}
       218:{1,4,6}:{(176,1),(177,1),(181,1),(255,1),(258,1)}
       219:{1,2,5,6}:{(177,1),(178,1),(182,1),(249,1),(256,1),(259,1),(260,1),(373,1),(391,1),(418,1)}
       220:{1,3,6}:{(178,1),(179,1),(250,1),(261,1)}
       221:{1,4,7}:{(179,1),(251,1),(261,1),(264,1)}
       222:{1,3,5}:{(180,1),(181,1),(184,1),(258,1),(262,1)}
       223:{1,2,4,5}:{(181,1),(182,1),(185,1),(252,1),(259,1),(262,1),(263,1),(264,1),(336,1),(338,1),(391,1)}
       224:{1,3,5}:{(182,1),(183,1),(253,1),(264,1)}
       225:{2,4}:{(184,1),(262,1),(266,1)}
       226:{1,3}:{(185,1),(266,1)}
       227:{1,3,4,7}:{(186,1),(188,1),(204,1),(267,1),(285,1),(339,1),(355,1)}
       228:{2,5,7}:{(186,1),(187,1),(189,1),(267,1),(268,1)}
       229:{1,6,7}:{(187,1),(190,1),(268,1),(426,1)}
       230:{2,4,6}:{(188,1),(189,1),(192,1),(267,1),(270,1),(271,1),(343,1)}
       231:{1,5,6}:{(189,1),(190,1),(193,1),(268,1),(271,1),(422,1),(426,1)}
       232:{1,2,6}:{(190,1),(191,1),(209,1),(273,1),(423,1)}
       233:{1,3,5,7}:{(191,1),(195,1),(210,1),(273,1),(274,1),(277,1),(346,1)}
       234:{2,3,5}:{(192,1),(196,1),(270,1),(275,1),(291,1)}
       235:{1,4,5}:{(192,1),(193,1),(197,1),(271,1),(275,1),(400,1),(422,1)}
       236:{1,2,5}:{(193,1),(194,1),(212,1),(277,1),(346,1),(408,1)}
       237:{1,3,6}:{(194,1),(195,1),(213,1),(277,1),(279,1),(304,1)}
       238:{1,3,4}:{(196,1),(197,1),(275,1),(278,1),(279,1),(350,1),(400,1)}
       239:{1,2,4}:{(197,1),(198,1),(278,1),(279,1)}
       240:{2,5,7}:{(199,1),(200,1),(201,1),(280,1)}
       241:{1,4,6,7}:{(200,1),(202,1),(206,1),(280,1),(281,1),(285,1)}
       242:{1,5,6}:{(201,1),(202,1),(280,1),(282,1),(300,1),(346,1)}
       243:{2,4,6}:{(202,1),(203,1),(209,1),(282,1),(283,1),(353,1)}
       244:{3,5,7}:{(203,1),(283,1),(284,1),(291,1),(354,1),(355,1)}
       245:{2,4,7}:{(204,1),(205,1),(207,1),(285,1)}
       246:{1,3,5,7}:{(205,1),(206,1),(208,1),(215,1),(268,1),(280,1),(285,1),(286,1),(293,1),(339,1),(351,1),(355,1)}
       247:{2,6,7}:{(206,1),(209,1),(286,1)}
       248:{1,4,6}:{(207,1),(208,1),(211,1),(285,1),(288,1),(353,1)}
       249:{2,5,6}:{(208,1),(209,1),(212,1),(286,1),(288,1),(297,1),(343,1)}
       250:{2,3,6}:{(209,1),(210,1),(220,1),(273,1),(283,1),(290,1)}
       251:{2,4,7}:{(210,1),(221,1),(274,1),(284,1),(290,1),(292,1)}
       252:{2,4,5}:{(211,1),(212,1),(288,1),(291,1),(292,1)}
       253:{2,3,5}:{(212,1),(213,1),(224,1),(277,1),(291,1),(292,1)}
       254:{2,3,7}:{(214,1),(217,1),(293,1),(355,1)}
       255:{1,4,7}:{(214,1),(215,1),(218,1),(293,1)}
       256:{1,2,5,7}:{(215,1),(216,1),(219,1),(286,1),(294,1),(295,1),(392,1),(406,1)}
       257:{1,3,6,7}:{(216,1),(220,1),(287,1),(295,1),(296,1),(407,1),(426,1)}
       258:{1,3,6}:{(217,1),(218,1),(222,1),(293,1),(297,1)}
       259:{1,2,4,6}:{(218,1),(219,1),(223,1),(288,1),(294,1),(297,1),(298,1),(299,1),(366,1)}
       260:{1,3,5,6}:{(219,1),(220,1),(224,1),(289,1),(295,1),(298,1),(299,1),(300,1),(364,1),(367,1),(397,1),(407,1),(422,1),(426,1)}
       261:{1,4,6}:{(220,1),(221,1),(290,1),(300,1)}
       262:{2,5}:{(222,1),(225,1),(297,1)}
       263:{1,3,5}:{(223,1),(226,1),(291,1),(298,1),(302,1),(303,1)}
       264:{1,4}:{(224,1),(292,1)}
       265:{1,2,4}:{(225,1),(301,1),(304,1),(368,1)}
       266:{2,3}:{(225,1),(226,1),(304,1)}
       267:{2,4,7}:{(227,1),(228,1),(230,1),(305,1),(306,1),(369,1)}
       268:{1,5,7}:{(228,1),(229,1),(231,1),(306,1)}
       269:{1,2,6,7}:{(229,1),(232,1),(247,1),(307,1),(308,1),(425,1)}
       270:{2,3,6}:{(230,1),(234,1),(305,1),(309,1),(325,1)}
       271:{1,4,6}:{(230,1),(231,1),(235,1),(306,1),(309,1)}
       272:{1,2,5,6}:{(231,1),(232,1),(236,1),(249,1),(307,1),(310,1),(311,1),(333,1),(414,1),(425,1)}
       273:{1,3,6}:{(232,1),(233,1),(250,1),(312,1)}
       274:{1,4,7}:{(233,1),(251,1),(312,1),(315,1)}
       275:{1,3,5}:{(234,1),(235,1),(238,1),(309,1),(313,1)}
       276:{1,2,4,5}:{(235,1),(236,1),(239,1),(252,1),(310,1),(313,1),(314,1),(315,1),(376,1),(378,1),(414,1)}
       277:{1,3,5}:{(236,1),(237,1),(253,1),(315,1)}
       278:{2,4}:{(238,1),(313,1),(317,1)}
       279:{1,3}:{(239,1),(317,1)}
       280:{1,5,7}:{(240,1),(241,1),(242,1),(318,1)}
       281:{2,4,6,7}:{(241,1),(243,1),(247,1),(318,1),(319,1),(322,1),(379,1)}
       282:{2,5,6}:{(242,1),(243,1),(318,1),(320,1),(327,1)}
       283:{3,6}:{(243,1),(244,1)}
       284:{3,4,7}:{(244,1),(251,1),(321,1),(328,1),(379,1)}
       285:{1,4,7}:{(245,1),(246,1),(248,1),(322,1),(379,1)}
       286:{2,5,7}:{(246,1),(247,1),(249,1),(322,1),(329,1),(369,1)}
       287:{2,3,6,7}:{(247,1),(250,1),(257,1),(308,1),(319,1),(323,1),(324,1),(416,1),(418,1),(425,1)}
       288:{2,4,6}:{(248,1),(249,1),(252,1),(322,1),(325,1)}
       289:{2,3,5,6}:{(249,1),(250,1),(253,1),(260,1),(311,1),(320,1),(323,1),(325,1),(326,1),(327,1),(334,1),(374,1),(384,1),(385,1),(391,1),(414,1),(416,1),(418,1),(425,1)}
       290:{2,4,6}:{(250,1),(251,1),(261,1),(312,1),(321,1),(327,1)}
       291:{3,5}:{(252,1),(325,1),(328,1)}
       292:{2,4}:{(253,1),(264,1),(315,1),(328,1)}
       293:{1,3,7}:{(254,1),(255,1),(258,1),(329,1)}
       294:{1,2,4,7}:{(255,1),(256,1),(259,1),(322,1),(329,1),(330,1),(331,1),(387,1)}
       295:{1,3,5,7}:{(256,1),(257,1),(260,1),(323,1),(330,1),(331,1),(332,1),(409,1),(424,1)}
       296:{1,4,6,7}:{(257,1),(261,1),(324,1),(331,1),(332,1),(389,1)}
       297:{2,6}:{(258,1),(262,1),(329,1)}
       298:{1,3,6}:{(259,1),(263,1),(325,1),(330,1),(334,1)}
       299:{1,4,6}:{(260,1),(264,1),(326,1),(331,1),(336,1)}
       300:{1,5}:{(261,1),(327,1)}
       301:{1,2,5}:{(262,1),(265,1),(333,1),(337,1)}
       302:{2,3,5}:{(262,1),(263,1),(266,1),(334,1),(337,1),(338,1),(391,1)}
       303:{1,3,4}:{(263,1),(264,1),(328,1),(338,1)}
       304:{1,3}:{(265,1),(266,1)}
       305:{2,3,7}:{(267,1),(270,1),(339,1),(355,1)}
       306:{1,4,7}:{(267,1),(268,1),(271,1),(339,1)}
       307:{1,2,5,7}:{(268,1),(269,1),(272,1),(286,1),(340,1),(341,1),(360,1),(420,1)}
       308:{1,3,6,7}:{(269,1),(273,1),(287,1),(341,1),(342,1),(421,1),(423,1)}
       309:{1,3,6}:{(270,1),(271,1),(275,1),(339,1),(343,1)}
       310:{1,2,4,6}:{(271,1),(272,1),(276,1),(288,1),(340,1),(343,1),(344,1),(345,1),(398,1)}
       311:{1,3,5,6}:{(272,1),(273,1),(277,1),(289,1),(341,1),(344,1),(345,1),(346,1),(365,1),(396,1),(399,1),(408,1),(421,1),(423,1)}
       312:{1,4,6}:{(273,1),(274,1),(290,1),(346,1)}
       313:{2,5}:{(275,1),(278,1),(343,1)}
       314:{1,3,5}:{(276,1),(279,1),(291,1),(344,1),(348,1),(349,1)}
       315:{1,4}:{(277,1),(292,1)}
       316:{1,2,4}:{(278,1),(347,1),(350,1),(400,1)}
       317:{2,3}:{(278,1),(279,1),(350,1)}
       318:{2,5,7}:{(280,1),(281,1),(282,1),(351,1)}
       319:{3,6,7}:{(281,1),(283,1),(351,1),(355,1)}
       320:{3,5,6}:{(282,1),(283,1),(351,1),(353,1),(354,1)}
       321:{3,4,6}:{(283,1),(284,1),(290,1),(353,1),(354,1)}
       322:{2,4,7}:{(285,1),(286,1),(288,1),(355,1)}
       323:{2,3,5,7}:{(286,1),(287,1),(289,1),(295,1),(341,1),(351,1),(355,1),(356,1),(357,1),(361,1),(393,1),(403,1),(406,1),(420,1)}
       324:{2,4,6,7}:{(287,1),(290,1),(296,1),(342,1),(352,1),(356,1),(357,1),(404,1)}
       325:{3,6}:{(288,1),(291,1),(355,1)}
       326:{2,4,6}:{(289,1),(292,1),(299,1),(345,1),(353,1),(356,1),(358,1),(359,1)}
       327:{2,5}:{(290,1),(300,1),(346,1),(354,1)}
       328:{3,4}:{(291,1),(292,1)}
       329:{2,7}:{(293,1),(297,1)}
       330:{1,3,7}:{(294,1),(298,1),(355,1),(361,1)}
       331:{1,4,7}:{(295,1),(299,1),(356,1)}
       332:{1,5,7}:{(296,1),(300,1),(357,1),(364,1)}
       333:{1,2,6}:{(297,1),(301,1),(360,1),(365,1)}
       334:{2,3,6}:{(297,1),(298,1),(302,1),(361,1),(365,1),(366,1)}
       335:{1,3,4,6}:{(298,1),(299,1),(303,1),(358,1),(362,1),(366,1),(367,1),(407,1)}
       336:{1,4,5}:{(299,1),(300,1),(359,1),(367,1),(422,1)}
       337:{1,3,5}:{(301,1),(302,1),(304,1),(365,1),(368,1),(408,1)}
       338:{2,4}:{(302,1),(303,1),(368,1)}
       339:{1,3,7}:{(305,1),(306,1),(309,1),(369,1)}
       340:{1,2,4,7}:{(306,1),(307,1),(310,1),(322,1),(369,1),(370,1),(371,1),(410,1)}
       341:{1,3,5,7}:{(307,1),(308,1),(311,1),(323,1),(370,1),(371,1),(372,1),(386,1),(417,1)}
       342:{1,4,6,7}:{(308,1),(312,1),(324,1),(371,1),(372,1),(412,1)}
       343:{2,6}:{(309,1),(313,1),(369,1)}
       344:{1,3,6}:{(310,1),(314,1),(325,1),(370,1),(374,1)}
       345:{1,4,6}:{(311,1),(315,1),(326,1),(371,1),(376,1)}
       346:{1,5}:{(312,1),(327,1)}
       347:{1,2,5}:{(313,1),(316,1),(373,1),(377,1)}
       348:{2,3,5}:{(313,1),(314,1),(317,1),(374,1),(377,1),(378,1),(414,1)}
       349:{1,3,4}:{(314,1),(315,1),(328,1),(378,1)}
       350:{1,3}:{(316,1),(317,1)}
       351:{3,5,7}:{(318,1),(319,1),(320,1),(379,1)}
       352:{3,4,6,7}:{(319,1),(321,1),(324,1),(379,1),(380,1),(382,1),(415,1),(416,1)}
       353:{4,6}:{(320,1),(379,1),(381,1)}
       354:{3,5}:{(321,1),(327,1),(381,1)}
       355:{3,7}:{(322,1),(325,1)}
       356:{2,4,7}:{(323,1),(326,1),(331,1),(371,1),(379,1),(382,1)}
       357:{2,5,7}:{(324,1),(327,1),(332,1),(372,1),(380,1),(384,1)}
       358:{3,4,6}:{(325,1),(326,1),(328,1),(382,1),(385,1),(416,1)}
       359:{2,4,5}:{(326,1),(327,1),(336,1),(376,1),(381,1),(385,1),(391,1),(414,1)}
       360:{1,2,7}:{(329,1),(333,1),(386,1)}
       361:{2,3,7}:{(329,1),(330,1),(334,1),(386,1),(387,1)}
       362:{1,3,4,7}:{(330,1),(331,1),(335,1),(382,1),(387,1),(388,1)}
       363:{1,4,5,7}:{(331,1),(332,1),(336,1),(383,1),(388,1),(389,1),(424,1)}
       364:{1,5,6}:{(332,1),(384,1),(389,1)}
       365:{1,3,6}:{(333,1),(334,1),(337,1),(386,1),(390,1)}
       366:{2,4,6}:{(334,1),(335,1),(338,1),(387,1),(390,1),(391,1),(418,1)}
       367:{1,3,5}:{(335,1),(336,1),(385,1),(391,1)}
       368:{1,4}:{(337,1),(338,1)}
       369:{2,7}:{(339,1),(343,1)}
       370:{1,3,7}:{(340,1),(344,1),(355,1),(393,1)}
       371:{1,4,7}:{(341,1),(345,1),(356,1)}
       372:{1,5,7}:{(342,1),(346,1),(357,1),(396,1)}
       373:{1,2,6}:{(343,1),(347,1),(392,1),(397,1)}
       374:{2,3,6}:{(343,1),(344,1),(348,1),(393,1),(397,1),(398,1)}
       375:{1,3,4,6}:{(344,1),(345,1),(349,1),(358,1),(394,1),(398,1),(399,1),(421,1)}
       376:{1,4,5}:{(345,1),(346,1),(359,1),(399,1),(408,1)}
       377:{1,3,5}:{(347,1),(348,1),(350,1),(397,1),(400,1),(422,1)}
       378:{2,4}:{(348,1),(349,1),(400,1)}
       379:{4,7}:{(351,1),(353,1)}
       380:{3,5,7}:{(352,1),(354,1),(357,1),(401,1),(402,1)}
       381:{4,5}:{(353,1),(354,1)}
       382:{3,4,7}:{(355,1),(356,1),(358,1),(403,1)}
       383:{2,4,5,7}:{(356,1),(357,1),(359,1),(363,1),(395,1),(401,1),(403,1),(404,1),(406,1),(420,1)}
       384:{2,5,6}:{(357,1),(364,1),(396,1),(402,1),(404,1)}
       385:{3,5}:{(358,1),(359,1)}
       386:{1,3,7}:{(360,1),(361,1),(365,1),(405,1)}
       387:{2,4,7}:{(361,1),(362,1),(366,1),(405,1),(406,1)}
       388:{1,3,5,7}:{(362,1),(363,1),(367,1),(403,1),(406,1),(407,1)}
       389:{1,4,6}:{(363,1),(364,1),(404,1),(407,1),(426,1)}
       390:{1,4,6}:{(365,1),(366,1),(368,1),(405,1),(408,1),(423,1)}
       391:{2,5}:{(366,1),(367,1),(408,1)}
       392:{1,2,7}:{(369,1),(373,1),(409,1)}
       393:{2,3,7}:{(369,1),(370,1),(374,1),(409,1),(410,1)}
       394:{1,3,4,7}:{(370,1),(371,1),(375,1),(382,1),(410,1),(411,1)}
       395:{1,4,5,7}:{(371,1),(372,1),(376,1),(383,1),(411,1),(412,1),(417,1)}
       396:{1,5,6}:{(372,1),(384,1),(412,1)}
       397:{1,3,6}:{(373,1),(374,1),(377,1),(409,1),(413,1)}
       398:{2,4,6}:{(374,1),(375,1),(378,1),(410,1),(413,1),(414,1),(425,1)}
       399:{1,3,5}:{(375,1),(376,1),(385,1),(414,1)}
       400:{1,4}:{(377,1),(378,1)}
       401:{4,5,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{3,5,6}:{(380,1),(384,1),(415,1),(416,1)}
       403:{3,5,7}:{(382,1),(383,1),(385,1),(416,1)}
       404:{2,4,6}:{(383,1),(384,1),(389,1),(412,1),(415,1),(416,1),(418,1),(425,1)}
       405:{1,4,7}:{(386,1),(387,1),(390,1),(417,1)}
       406:{2,5,7}:{(387,1),(388,1),(391,1),(417,1),(418,1)}
       407:{1,3,6}:{(388,1),(389,1),(416,1),(418,1)}
       408:{1,5}:{(390,1),(391,1)}
       409:{1,3,7}:{(392,1),(393,1),(397,1),(419,1)}
       410:{2,4,7}:{(393,1),(394,1),(398,1),(419,1),(420,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(399,1),(403,1),(420,1),(421,1)}
       412:{1,4,6}:{(395,1),(396,1),(404,1),(421,1),(423,1)}
       413:{1,4,6}:{(397,1),(398,1),(400,1),(419,1),(422,1),(426,1)}
       414:{2,5}:{(398,1),(399,1),(422,1)}
       415:{4,6}:{(401,1),(402,1)}
       416:{3,6}:{(403,1),(404,1)}
       417:{1,5,7}:{(405,1),(406,1),(408,1),(423,1)}
       418:{2,6}:{(406,1),(407,1),(423,1)}
       419:{1,4,7}:{(409,1),(410,1),(413,1),(424,1)}
       420:{2,5,7}:{(410,1),(411,1),(414,1),(424,1),(425,1)}
       421:{1,3,6}:{(411,1),(412,1),(416,1),(425,1)}
       422:{1,5}:{(413,1),(414,1)}
       423:{1,6}:{(417,1),(418,1)}
       424:{1,5,7}:{(419,1),(420,1),(422,1),(426,1)}
       425:{2,6}:{(420,1),(421,1),(426,1)}
       426:{1,6}:{(424,1),(425,1)}

 565 :   0:{1,2,6}:{(1,1),(2,1),(3,1),(82,1)}
         1:{1,2,5}:{(0,1),(6,1),(7,1),(50,1),(64,1)}
         2:{1,2,7}:{(0,1),(8,1),(94,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(101,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(96,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(78,1),(82,1),(96,1)}
         6:{1,2,4}:{(1,1),(16,1),(17,1),(45,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(16,1),(17,1),(19,1),(68,1),(95,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(18,1),(104,1)}
         9:{1,4,6}:{(3,1),(15,1),(17,1),(18,1),(19,1),(48,1)}
        10:{1,2,5}:{(4,1),(20,1),(21,1),(28,1),(85,1)}
        11:{1,2,7}:{(4,1),(22,1),(102,1)}
        12:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1),(93,1)}
        13:{2,3,5}:{(5,1),(7,1),(21,1),(25,1),(27,1),(29,1),(51,1),(59,1),(64,1),(85,1)}
        14:{2,3,7}:{(5,1),(8,1),(22,1),(26,1),(92,1),(94,1),(102,1)}
        15:{2,4,6}:{(5,1),(9,1),(23,1),(24,1),(25,1),(26,1),(27,1),(61,1)}
        16:{1,3}:{(6,1),(29,1)}
        17:{1,4}:{(7,1),(25,1)}
        18:{1,4,7}:{(8,1),(9,1),(26,1),(32,1)}
        19:{1,5}:{(9,1),(27,1)}
        20:{1,2,4}:{(10,1),(34,1),(35,1),(69,1)}
        21:{1,3,5}:{(10,1),(12,1),(13,1),(34,1),(35,1),(37,1),(44,1),(81,1)}
        22:{1,3,7}:{(11,1),(12,1),(14,1),(36,1),(100,1)}
        23:{1,4,6}:{(12,1),(15,1),(35,1),(36,1),(37,1),(72,1)}
        24:{3,4,6}:{(15,1),(38,1),(39,1),(40,1),(75,1),(76,1),(78,1)}
        25:{2,4}:{(13,1),(17,1),(35,1),(40,1)}
        26:{2,4,7}:{(14,1),(15,1),(18,1),(36,1),(38,1),(42,1)}
        27:{2,5}:{(15,1),(19,1),(37,1),(39,1)}
        28:{1,2}:{(44,1)}
        29:{2,3}:{(16,1),(44,1),(45,1)}
        30:{1,3,4}:{(16,1),(17,1),(40,1),(45,1),(46,1)}
        31:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(47,1),(95,1)}
        32:{1,5,7}:{(18,1),(19,1),(42,1),(48,1)}
        33:{1,5,6}:{(19,1),(43,1),(47,1),(48,1),(49,1)}
        34:{1,3}:{(20,1),(51,1)}
        35:{1,4}:{(21,1),(25,1)}
        36:{1,4,7}:{(22,1),(23,1),(26,1),(54,1)}
        37:{1,5}:{(23,1),(27,1)}
        38:{3,4,7}:{(24,1),(26,1),(57,1),(90,1),(92,1)}
        39:{3,5}:{(24,1),(27,1),(56,1)}
        40:{3,4}:{(25,1),(59,1)}
        41:{2,4,5}:{(25,1),(27,1),(31,1),(53,1),(56,1),(59,1),(60,1),(64,1),(85,1)}
        42:{2,5,7}:{(26,1),(27,1),(32,1),(54,1),(57,1),(61,1)}
        43:{2,5,6}:{(27,1),(33,1),(55,1),(58,1),(60,1),(61,1),(62,1)}
        44:{1,3}:{(28,1),(29,1),(63,1)}
        45:{2,4}:{(29,1),(30,1),(63,1),(64,1)}
        46:{1,3,5}:{(30,1),(31,1),(59,1),(64,1),(65,1)}
        47:{1,4,6}:{(31,1),(33,1),(60,1),(65,1),(66,1),(101,1)}
        48:{1,6}:{(32,1),(61,1)}
        49:{1,5,7}:{(33,1),(62,1),(66,1),(67,1)}
        50:{1,2}:{(68,1)}
        51:{2,3}:{(34,1),(68,1),(69,1)}
        52:{1,3,4}:{(34,1),(35,1),(40,1),(69,1),(70,1)}
        53:{1,4,5}:{(35,1),(37,1),(41,1),(70,1),(71,1),(81,1)}
        54:{1,5,7}:{(36,1),(37,1),(42,1),(72,1)}
        55:{1,5,6}:{(37,1),(43,1),(71,1),(72,1),(73,1)}
        56:{4,5}:{(39,1),(75,1)}
        57:{3,5,7}:{(38,1),(39,1),(42,1),(74,1),(76,1)}
        58:{3,5,6}:{(39,1),(43,1),(75,1),(76,1),(77,1),(78,1),(98,1)}
        59:{3,5}:{(40,1),(41,1),(78,1)}
        60:{2,4,6}:{(41,1),(43,1),(47,1),(71,1),(75,1),(78,1),(79,1),(82,1),(96,1)}
        61:{2,6}:{(42,1),(48,1),(72,1),(76,1)}
        62:{2,5,7}:{(43,1),(49,1),(73,1),(77,1),(79,1),(80,1)}
        63:{1,4}:{(44,1),(45,1),(81,1)}
        64:{2,5}:{(45,1),(46,1),(81,1),(82,1)}
        65:{1,3,6}:{(46,1),(47,1),(78,1),(82,1),(83,1)}
        66:{1,4,7}:{(47,1),(49,1),(79,1),(83,1),(104,1)}
        67:{1,6,7}:{(48,1),(49,1),(80,1)}
        68:{1,3}:{(50,1),(51,1),(84,1)}
        69:{2,4}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,5}:{(52,1),(53,1),(59,1),(85,1),(86,1)}
        71:{1,4,6}:{(53,1),(55,1),(60,1),(86,1),(87,1),(93,1)}
        72:{1,6}:{(54,1),(61,1)}
        73:{1,5,7}:{(55,1),(62,1),(87,1),(88,1)}
        74:{4,5,7}:{(56,1),(57,1),(89,1),(90,1),(103,1)}
        75:{4,6}:{(56,1),(58,1),(90,1)}
        76:{3,6}:{(57,1),(61,1),(89,1)}
        77:{3,5,7}:{(58,1),(62,1),(90,1),(91,1),(92,1),(103,1)}
        78:{3,6}:{(59,1),(60,1),(92,1)}
        79:{2,4,7}:{(60,1),(62,1),(66,1),(87,1),(90,1),(92,1),(94,1),(102,1)}
        80:{2,6,7}:{(61,1),(62,1),(67,1),(88,1),(91,1)}
        81:{1,5}:{(63,1),(64,1),(93,1)}
        82:{2,6}:{(64,1),(65,1),(93,1),(94,1)}
        83:{1,3,7}:{(65,1),(66,1),(92,1),(94,1)}
        84:{1,4}:{(68,1),(69,1),(95,1)}
        85:{2,5}:{(69,1),(70,1),(95,1),(96,1)}
        86:{1,3,6}:{(70,1),(71,1),(78,1),(96,1),(97,1)}
        87:{1,4,7}:{(71,1),(73,1),(79,1),(97,1),(100,1)}
        88:{1,6,7}:{(72,1),(73,1),(80,1)}
        89:{4,6}:{(74,1),(76,1),(98,1)}
        90:{4,7}:{(75,1),(77,1)}
        91:{3,6,7}:{(76,1),(77,1),(80,1),(99,1)}
        92:{3,7}:{(78,1),(79,1)}
        93:{1,6}:{(81,1),(82,1),(100,1)}
        94:{2,7}:{(82,1),(83,1),(100,1)}
        95:{1,5}:{(84,1),(85,1),(101,1)}
        96:{2,6}:{(85,1),(86,1),(101,1),(102,1)}
        97:{1,3,7}:{(86,1),(87,1),(92,1),(102,1)}
        98:{5,6}:{(89,1),(103,1)}
        99:{4,6,7}:{(89,1),(90,1),(91,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{1,6}:{(95,1),(96,1),(104,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

 566 :   0:{1,2,7}:{(1,1),(2,1),(97,1)}
         1:{1,2,6}:{(0,1),(5,1),(6,1),(87,1)}
         2:{1,3,7}:{(0,1),(4,1),(6,1),(7,1),(104,1)}
         3:{1,2,7}:{(8,1),(9,1),(103,1)}
         4:{2,3,7}:{(2,1),(9,1),(10,1),(11,1),(95,1),(97,1),(103,1)}
         5:{1,2,5}:{(1,1),(12,1),(13,1),(58,1),(72,1)}
         6:{1,3,6}:{(1,1),(2,1),(10,1),(13,1),(14,1),(102,1)}
         7:{1,4,7}:{(2,1),(11,1),(14,1),(15,1)}
         8:{1,2,6}:{(3,1),(16,1),(17,1),(99,1)}
         9:{1,3,7}:{(3,1),(4,1),(17,1),(18,1),(101,1)}
        10:{2,3,6}:{(4,1),(6,1),(17,1),(20,1),(21,1),(84,1),(87,1),(99,1)}
        11:{2,4,7}:{(4,1),(7,1),(18,1),(19,1),(21,1),(22,1)}
        12:{1,2,4}:{(5,1),(23,1),(24,1),(54,1)}
        13:{1,3,5}:{(5,1),(6,1),(20,1),(23,1),(24,1),(25,1),(75,1),(98,1)}
        14:{1,4,6}:{(6,1),(7,1),(21,1),(24,1),(25,1),(26,1)}
        15:{1,5,7}:{(7,1),(22,1),(25,1),(26,1)}
        16:{1,2,5}:{(8,1),(27,1),(28,1),(36,1),(90,1)}
        17:{1,3,6}:{(8,1),(9,1),(10,1),(28,1),(29,1),(96,1)}
        18:{1,4,7}:{(9,1),(11,1),(29,1),(30,1)}
        19:{3,4,7}:{(11,1),(31,1),(32,1),(94,1),(95,1)}
        20:{2,3,5}:{(10,1),(13,1),(28,1),(33,1),(34,1),(37,1),(59,1),(68,1),(72,1),(90,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(29,1),(31,1),(33,1),(34,1),(35,1)}
        22:{2,5,7}:{(11,1),(15,1),(30,1),(32,1),(34,1),(35,1)}
        23:{1,3}:{(12,1),(37,1)}
        24:{1,4}:{(13,1),(33,1)}
        25:{1,5}:{(14,1),(34,1)}
        26:{1,6}:{(15,1),(35,1)}
        27:{1,2,4}:{(16,1),(42,1),(43,1),(76,1)}
        28:{1,3,5}:{(16,1),(17,1),(20,1),(42,1),(43,1),(44,1),(53,1),(86,1)}
        29:{1,4,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1)}
        30:{1,5,7}:{(18,1),(22,1),(44,1),(45,1)}
        31:{3,4,6}:{(19,1),(21,1),(47,1),(48,1),(49,1),(82,1),(84,1)}
        32:{3,5,7}:{(19,1),(22,1),(46,1),(47,1),(48,1)}
        33:{2,4}:{(20,1),(24,1),(43,1),(49,1)}
        34:{2,5}:{(21,1),(25,1),(44,1),(47,1)}
        35:{2,6}:{(22,1),(26,1),(45,1),(48,1)}
        36:{1,2}:{(53,1)}
        37:{2,3}:{(23,1),(53,1),(54,1)}
        38:{1,3,4}:{(23,1),(24,1),(49,1),(54,1),(55,1)}
        39:{1,4,5}:{(24,1),(25,1),(50,1),(55,1),(56,1),(98,1)}
        40:{1,5,6}:{(25,1),(26,1),(51,1),(56,1),(57,1)}
        41:{1,6,7}:{(26,1),(52,1),(57,1)}
        42:{1,3}:{(27,1),(59,1)}
        43:{1,4}:{(28,1),(33,1)}
        44:{1,5}:{(29,1),(34,1)}
        45:{1,6}:{(30,1),(35,1)}
        46:{4,5,7}:{(32,1),(64,1),(65,1),(93,1),(94,1)}
        47:{3,5}:{(31,1),(34,1),(65,1)}
        48:{3,6}:{(32,1),(35,1),(64,1)}
        49:{3,4}:{(33,1),(68,1)}
        50:{2,4,5}:{(33,1),(34,1),(39,1),(61,1),(65,1),(68,1),(69,1),(72,1),(90,1)}
        51:{2,5,6}:{(34,1),(35,1),(40,1),(62,1),(66,1),(69,1),(70,1)}
        52:{2,6,7}:{(35,1),(41,1),(63,1),(67,1),(70,1)}
        53:{1,3}:{(36,1),(37,1),(71,1)}
        54:{2,4}:{(37,1),(38,1),(71,1),(72,1)}
        55:{1,3,5}:{(38,1),(39,1),(68,1),(72,1),(73,1)}
        56:{1,4,6}:{(39,1),(40,1),(69,1),(73,1),(74,1),(102,1)}
        57:{1,5,7}:{(40,1),(41,1),(70,1),(74,1)}
        58:{1,2}:{(75,1)}
        59:{2,3}:{(42,1),(75,1),(76,1)}
        60:{1,3,4}:{(42,1),(43,1),(49,1),(76,1),(77,1)}
        61:{1,4,5}:{(43,1),(44,1),(50,1),(77,1),(78,1),(86,1)}
        62:{1,5,6}:{(44,1),(45,1),(51,1),(78,1),(79,1)}
        63:{1,6,7}:{(45,1),(52,1),(79,1)}
        64:{4,6}:{(46,1),(48,1),(80,1)}
        65:{4,5}:{(47,1),(82,1)}
        66:{3,5,6}:{(47,1),(48,1),(51,1),(80,1),(82,1),(83,1),(84,1)}
        67:{3,6,7}:{(48,1),(52,1),(81,1),(83,1)}
        68:{3,5}:{(49,1),(50,1),(84,1)}
        69:{2,4,6}:{(50,1),(51,1),(56,1),(78,1),(82,1),(84,1),(85,1),(87,1),(99,1)}
        70:{2,5,7}:{(51,1),(52,1),(57,1),(79,1),(83,1),(85,1)}
        71:{1,4}:{(53,1),(54,1),(86,1)}
        72:{2,5}:{(54,1),(55,1),(86,1),(87,1)}
        73:{1,3,6}:{(55,1),(56,1),(84,1),(87,1),(88,1)}
        74:{1,4,7}:{(56,1),(57,1),(85,1),(88,1),(104,1)}
        75:{1,3}:{(58,1),(59,1),(89,1)}
        76:{2,4}:{(59,1),(60,1),(89,1),(90,1)}
        77:{1,3,5}:{(60,1),(61,1),(68,1),(90,1),(91,1)}
        78:{1,4,6}:{(61,1),(62,1),(69,1),(91,1),(92,1),(96,1)}
        79:{1,5,7}:{(62,1),(63,1),(70,1),(92,1)}
        80:{5,6}:{(64,1),(93,1)}
        81:{4,6,7}:{(64,1),(67,1),(93,1),(94,1)}
        82:{4,6}:{(65,1),(66,1),(94,1)}
        83:{3,5,7}:{(66,1),(67,1),(70,1),(93,1),(94,1),(95,1)}
        84:{3,6}:{(68,1),(69,1),(95,1)}
        85:{2,4,7}:{(69,1),(70,1),(74,1),(92,1),(94,1),(95,1),(97,1),(103,1)}
        86:{1,5}:{(71,1),(72,1),(96,1)}
        87:{2,6}:{(72,1),(73,1),(96,1),(97,1)}
        88:{1,3,7}:{(73,1),(74,1),(95,1),(97,1)}
        89:{1,4}:{(75,1),(76,1),(98,1)}
        90:{2,5}:{(76,1),(77,1),(98,1),(99,1)}
        91:{1,3,6}:{(77,1),(78,1),(84,1),(99,1),(100,1)}
        92:{1,4,7}:{(78,1),(79,1),(85,1),(100,1),(101,1)}
        93:{5,7}:{(80,1),(81,1)}
        94:{4,7}:{(82,1),(83,1)}
        95:{3,7}:{(84,1),(85,1)}
        96:{1,6}:{(86,1),(87,1),(101,1)}
        97:{2,7}:{(87,1),(88,1),(101,1)}
        98:{1,5}:{(89,1),(90,1),(102,1)}
        99:{2,6}:{(90,1),(91,1),(102,1),(103,1)}
       100:{1,3,7}:{(91,1),(92,1),(95,1),(103,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,6}:{(98,1),(99,1),(104,1)}
       103:{2,7}:{(99,1),(100,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 567 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(15,1),(22,1),(41,1),(43,1),(48,1),(76,1),(81,1),(82,1),(113,1),(141,1)}
         1:{2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(23,1),(26,1),(37,1),(58,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(100,1),(101,1),(129,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(25,1),(31,1),(61,1),(63,1),(68,1),(95,1),(163,1)}
         4:{2,3,6}:{(1,1),(11,1),(12,1),(13,1),(48,1),(76,1),(84,1),(113,1)}
         5:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(22,1),(48,1),(57,1),(93,1)}
         6:{1,4,6}:{(1,1),(11,1),(17,1),(18,1),(41,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(13,1),(18,1),(20,1),(40,1),(168,1)}
         9:{1,4,5}:{(2,1),(15,1),(19,1),(41,1),(89,1),(118,1),(141,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(159,1),(160,1)}
        11:{1,3,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(102,1)}
        12:{2,3,5}:{(4,1),(7,1),(24,1),(26,1),(35,1),(71,1),(94,1),(129,1)}
        13:{2,3,7}:{(4,1),(8,1),(25,1),(68,1),(95,1),(103,1),(171,1)}
        14:{2,5,6}:{(5,1),(7,1),(28,1),(29,1),(30,1),(37,1)}
        15:{1,4,6}:{(5,1),(9,1),(29,1),(31,1),(102,1),(110,1)}
        16:{1,3,5,7}:{(5,1),(30,1),(31,1),(32,1),(68,1),(70,1),(106,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(25,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(26,1),(29,1),(33,1),(35,1),(58,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(164,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(31,1),(36,1),(38,1),(61,1),(70,1),(100,1),(107,1),(151,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{2,6}:{(11,1),(39,1),(40,1)}
        24:{1,3,5}:{(11,1),(12,1),(17,1),(39,1),(41,1),(76,1),(89,1),(111,1)}
        25:{1,3,7}:{(11,1),(13,1),(18,1),(40,1),(119,1),(173,1)}
        26:{2,4}:{(12,1),(41,1),(43,1),(141,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(20,1),(42,1),(44,1),(45,1),(55,1),(83,1),(90,1),(112,1),(140,1)}
        28:{1,5,6}:{(14,1),(17,1),(46,1),(47,1),(54,1)}
        29:{2,4,6}:{(14,1),(15,1),(19,1),(46,1),(48,1),(49,1),(84,1)}
        30:{2,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(16,1),(49,1),(119,1),(122,1)}
        32:{1,3,6,7}:{(16,1),(22,1),(50,1),(51,1),(87,1),(160,1)}
        33:{1,4,5}:{(17,1),(19,1),(41,1),(46,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(169,1),(170,1)}
        35:{3,5}:{(19,1),(43,1),(48,1),(76,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(44,1),(49,1),(53,1),(55,1),(56,1),(77,1),(83,1),(88,1),(90,1),(114,1),(118,1),(122,1),(141,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{2,5}:{(23,1),(24,1),(58,1),(126,1)}
        40:{2,7}:{(23,1),(25,1),(174,1)}
        41:{1,4}:{(24,1),(26,1),(58,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(95,1),(100,1),(107,1),(127,1),(129,1),(149,1)}
        43:{3,4}:{(26,1),(35,1)}
        44:{2,4,7}:{(26,1),(27,1),(61,1),(63,1),(64,1),(150,1)}
        45:{2,3,6}:{(27,1),(37,1),(62,1),(64,1),(74,1),(108,1)}
        46:{1,4,6}:{(28,1),(29,1),(33,1),(65,1),(66,1)}
        47:{1,5,7}:{(28,1),(30,1),(66,1),(67,1)}
        48:{3,6}:{(29,1),(35,1),(68,1)}
        49:{2,4,7}:{(29,1),(30,1),(31,1),(66,1),(68,1),(103,1)}
        50:{2,6,7}:{(30,1),(32,1),(37,1),(67,1),(165,1)}
        51:{1,4,6,7}:{(31,1),(32,1),(38,1),(69,1),(70,1),(133,1),(153,1)}
        52:{1,3,5}:{(33,1),(35,1),(60,1),(65,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(61,1),(66,1),(72,1),(73,1),(100,1),(105,1),(132,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(63,1),(68,1),(74,1),(95,1),(101,1),(129,1),(152,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(70,1),(75,1),(100,1)}
        58:{2,4}:{(39,1),(41,1),(76,1)}
        59:{2,5,7}:{(39,1),(40,1),(42,1),(77,1),(78,1),(114,1),(138,1),(156,1)}
        60:{1,3,4}:{(41,1),(43,1),(52,1),(76,1),(79,1),(111,1)}
        61:{1,4,7}:{(41,1),(42,1),(44,1),(77,1),(81,1),(141,1),(157,1)}
        62:{1,3,6}:{(42,1),(45,1),(54,1),(78,1),(81,1),(113,1),(123,1)}
        63:{3,4,7}:{(43,1),(44,1),(55,1),(82,1),(122,1),(141,1),(158,1)}
        64:{2,4,6}:{(44,1),(45,1),(81,1),(82,1),(83,1)}
        65:{1,3,6}:{(46,1),(48,1),(52,1),(84,1),(85,1)}
        66:{1,4,7}:{(46,1),(47,1),(49,1),(85,1)}
        67:{1,6,7}:{(47,1),(50,1),(54,1),(170,1)}
        68:{3,7}:{(48,1),(49,1)}
        69:{2,4,6,7}:{(49,1),(50,1),(51,1),(56,1),(86,1),(87,1),(88,1),(120,1),(122,1),(145,1)}
        70:{1,5,7}:{(51,1),(57,1),(88,1)}
        71:{2,5}:{(52,1),(79,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(80,1),(85,1),(90,1),(91,1),(117,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(83,1),(88,1),(92,1),(93,1),(114,1)}
        76:{3}:{(58,1)}
        77:{2,4,7}:{(58,1),(59,1),(61,1),(95,1),(96,1),(162,1)}
        78:{2,6}:{(59,1),(62,1)}
        79:{2,4}:{(60,1),(71,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(63,1),(72,1),(95,1),(98,1),(99,1),(127,1),(135,1),(154,1)}
        81:{1,4,6}:{(61,1),(62,1),(64,1),(96,1),(100,1)}
        82:{3,4,6}:{(63,1),(64,1),(74,1),(101,1),(110,1)}
        83:{2,5}:{(64,1),(100,1),(101,1)}
        84:{2,6}:{(65,1),(71,1),(102,1),(103,1)}
        85:{1,3,7}:{(65,1),(66,1),(68,1),(103,1)}
        86:{1,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(104,1),(105,1),(135,1)}
        87:{3,6,7}:{(68,1),(69,1),(74,1),(106,1),(154,1)}
        88:{2,5,7}:{(69,1),(70,1),(75,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(97,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(98,1),(103,1),(107,1),(108,1),(131,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(100,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(101,1),(106,1),(110,1),(129,1)}
        94:{2,3}:{(76,1),(79,1),(111,1)}
        95:{3,7}:{(76,1),(77,1),(113,1),(167,1)}
        96:{2,4,6}:{(77,1),(78,1),(81,1),(113,1),(114,1),(141,1)}
        97:{1,4}:{(79,1),(89,1),(111,1)}
        98:{2,4,7}:{(79,1),(80,1),(90,1),(112,1),(115,1),(116,1),(138,1)}
        99:{1,3,4,6}:{(80,1),(81,1),(82,1),(91,1),(113,1),(116,1),(117,1),(125,1),(139,1),(141,1),(147,1),(157,1),(158,1),(167,1)}
       100:{1,5}:{(81,1),(83,1),(114,1)}
       101:{3,5}:{(82,1),(83,1),(118,1)}
       102:{1,6}:{(84,1),(89,1),(119,1)}
       103:{2,7}:{(84,1),(85,1),(119,1)}
       104:{1,3,6,7}:{(85,1),(86,1),(87,1),(91,1),(120,1),(121,1)}
       105:{1,5,7}:{(86,1),(88,1),(92,1)}
       106:{3,5,7}:{(87,1),(88,1),(93,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(115,1),(119,1),(123,1),(142,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(117,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(118,1),(122,1),(141,1)}
       111:{1,3}:{(94,1),(97,1),(126,1)}
       112:{2,3,7}:{(94,1),(95,1),(98,1),(127,1),(128,1),(154,1),(165,1)}
       113:{3,6}:{(95,1),(96,1),(129,1)}
       114:{2,5}:{(96,1),(100,1),(129,1)}
       115:{1,4,7}:{(97,1),(98,1),(107,1),(127,1),(130,1)}
       116:{2,4,6}:{(98,1),(99,1),(108,1),(128,1),(130,1),(131,1),(148,1),(150,1),(162,1)}
       117:{1,3,5}:{(99,1),(100,1),(101,1),(129,1),(131,1),(132,1),(152,1)}
       118:{4,5}:{(101,1),(110,1)}
       119:{1,7}:{(102,1),(103,1)}
       120:{2,6,7}:{(103,1),(104,1),(108,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(106,1),(109,1),(134,1),(135,1),(154,1)}
       122:{4,7}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(131,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(132,1),(135,1),(137,1),(166,1)}
       126:{2}:{(111,1)}
       127:{1,3,7}:{(111,1),(112,1),(115,1),(138,1),(139,1),(170,1)}
       128:{2,3,6}:{(112,1),(113,1),(116,1),(139,1),(140,1),(147,1),(161,1),(167,1)}
       129:{3,5}:{(113,1),(114,1),(141,1)}
       130:{1,4,6}:{(115,1),(116,1),(123,1),(139,1),(142,1),(157,1)}
       131:{2,5}:{(116,1),(117,1),(142,1)}
       132:{1,4,5}:{(117,1),(118,1),(125,1),(141,1),(143,1),(157,1),(169,1)}
       133:{1,6,7}:{(119,1),(120,1),(123,1),(144,1)}
       134:{2,5,7}:{(120,1),(121,1),(124,1),(144,1),(145,1)}
       135:{1,4,7}:{(121,1),(122,1),(125,1),(145,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(142,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(143,1),(145,1),(146,1),(147,1),(161,1)}
       138:{2,7}:{(126,1),(127,1),(148,1)}
       139:{1,3,6}:{(127,1),(128,1),(130,1),(148,1),(149,1),(166,1)}
       140:{2,3,5}:{(128,1),(129,1),(131,1),(149,1),(150,1),(152,1),(164,1),(171,1)}
       141:{4}:{(129,1)}
       142:{1,5}:{(130,1),(131,1)}
       143:{2,4,5}:{(131,1),(132,1),(137,1),(150,1),(151,1),(152,1),(162,1),(164,1)}
       144:{1,5,7}:{(133,1),(134,1),(136,1),(153,1)}
       145:{2,4,7}:{(134,1),(135,1),(137,1),(153,1),(154,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(151,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(152,1),(154,1)}
       148:{2,6}:{(138,1),(139,1),(156,1)}
       149:{1,3,5}:{(139,1),(140,1),(142,1),(156,1),(157,1),(167,1),(169,1),(173,1)}
       150:{2,4}:{(140,1),(141,1),(157,1),(158,1)}
       151:{1,4,5}:{(142,1),(143,1),(146,1),(157,1),(159,1)}
       152:{3,5}:{(143,1),(147,1),(158,1),(167,1)}
       153:{1,4,7}:{(144,1),(145,1),(146,1),(160,1)}
       154:{3,7}:{(145,1),(147,1)}
       155:{1,3,6}:{(146,1),(147,1),(159,1),(160,1),(161,1)}
       156:{2,5}:{(148,1),(149,1),(162,1),(174,1)}
       157:{1,4}:{(149,1),(150,1),(162,1)}
       158:{3,4}:{(150,1),(152,1)}
       159:{1,3,5}:{(151,1),(152,1),(155,1),(163,1),(164,1)}
       160:{1,3,7}:{(153,1),(154,1),(155,1),(165,1)}
       161:{2,6}:{(155,1),(164,1),(165,1),(166,1)}
       162:{2,4}:{(156,1),(157,1),(167,1)}
       163:{1,3,4}:{(157,1),(158,1),(159,1),(167,1),(168,1),(173,1)}
       164:{2,5}:{(159,1),(161,1),(168,1),(169,1)}
       165:{2,7}:{(160,1),(161,1),(170,1)}
       166:{1,6}:{(161,1),(169,1),(170,1)}
       167:{3}:{(162,1)}
       168:{2,4}:{(163,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,5}:{(164,1),(166,1),(172,1)}
       170:{1,7}:{(165,1),(166,1)}
       171:{2,3}:{(167,1),(168,1),(173,1)}
       172:{1,4}:{(168,1),(169,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 568 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(21,1),(42,1),(113,1),(138,1),(150,1),(211,1),(221,1),(225,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(27,1),(39,1),(79,1),(90,1),(101,1),(177,1),(194,1),(205,1),(206,1),(287,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(268,1),(281,1),(284,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(30,1),(73,1),(163,1),(195,1),(271,1),(288,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(21,1),(50,1),(70,1),(129,1),(138,1)}
         5:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(62,1),(66,1),(257,1),(264,1)}
         6:{1,3,5}:{(1,1),(2,1),(15,1),(17,1),(64,1),(236,1),(265,1),(345,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(16,1),(18,1),(46,1),(56,1),(124,1),(139,1),(151,1),(258,1),(350,1)}
         8:{2,4,5}:{(2,1),(12,1),(17,1),(19,1),(113,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(18,1),(20,1),(21,1),(328,1),(346,1)}
        10:{1,2,4,6}:{(5,1),(22,1),(23,1),(24,1),(71,1),(79,1),(82,1),(177,1),(287,1),(290,1),(297,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(28,1),(39,1),(90,1),(108,1),(183,1),(194,1),(209,1)}
        12:{2,4,6}:{(4,1),(8,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(86,1),(97,1),(184,1),(195,1)}
        14:{2,3,6}:{(5,1),(22,1),(33,1),(34,1),(90,1),(322,1)}
        15:{2,5}:{(5,1),(6,1)}
        16:{2,4,7}:{(5,1),(7,1),(34,1),(36,1),(317,1)}
        17:{1,4,5}:{(6,1),(8,1),(27,1),(35,1),(79,1),(323,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(36,1),(38,1),(39,1),(105,1),(403,1)}
        19:{3,4,5}:{(8,1),(29,1),(162,1),(268,1),(547,1)}
        20:{2,4,5,7}:{(8,1),(9,1),(30,1),(38,1),(40,1),(41,1),(97,1),(163,1),(281,1)}
        21:{2,3,6}:{(9,1),(39,1),(41,1),(385,1),(404,1)}
        22:{1,3,6}:{(10,1),(14,1),(42,1),(45,1),(46,1),(355,1)}
        23:{1,2,5}:{(10,1),(15,1),(45,1),(111,1),(236,1),(345,1)}
        24:{1,2,4,7}:{(10,1),(16,1),(46,1),(48,1),(112,1),(124,1),(350,1),(351,1)}
        25:{2,4,5,6}:{(12,1),(49,1),(50,1),(51,1),(70,1),(129,1),(156,1),(210,1),(329,1),(359,1),(512,1),(541,1)}
        26:{2,5,6}:{(11,1),(15,1),(53,1),(54,1),(66,1),(257,1)}
        27:{1,4,6}:{(11,1),(12,1),(17,1),(53,1),(56,1),(266,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(54,1),(56,1),(57,1),(139,1),(143,1),(245,1),(258,1),(259,1)}
        29:{3,4,6}:{(12,1),(19,1),(50,1),(58,1),(541,1)}
        30:{2,4,7}:{(12,1),(13,1),(56,1),(58,1)}
        31:{2,3,6,7}:{(13,1),(21,1),(57,1),(59,1),(132,1),(246,1)}
        32:{2,3,4,6}:{(14,1),(44,1),(60,1),(61,1),(62,1),(135,1),(145,1),(149,1),(152,1),(219,1),(225,1),(334,1)}
        33:{2,3,5}:{(14,1),(15,1),(45,1),(62,1),(64,1)}
        34:{2,3,7}:{(14,1),(16,1),(46,1),(139,1)}
        35:{2,4,5}:{(15,1),(17,1),(53,1),(62,1),(64,1)}
        36:{2,5,7}:{(15,1),(16,1),(18,1),(66,1)}
        37:{1,3,4,5}:{(17,1),(19,1),(55,1),(64,1),(67,1),(123,1),(153,1),(223,1),(238,1),(356,1),(451,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(65,1),(68,1),(124,1),(143,1),(236,1)}
        39:{1,3,6}:{(18,1),(21,1),(66,1),(68,1),(154,1),(449,1)}
        40:{3,4,5,7}:{(19,1),(20,1),(58,1),(69,1),(144,1),(220,1),(328,1),(341,1),(440,1)}
        41:{2,4,6}:{(20,1),(21,1),(68,1),(69,1),(70,1)}
        42:{2,3,6}:{(22,1),(71,1),(72,1),(73,1),(273,1),(396,1)}
        43:{1,2,5,6}:{(23,1),(26,1),(74,1),(75,1),(76,1),(82,1),(159,1),(183,1),(284,1),(290,1),(303,1),(398,1),(402,1),(404,1),(470,1),(484,1)}
        44:{1,3,4,6}:{(22,1),(32,1),(71,1),(77,1),(78,1),(79,1),(162,1),(171,1),(175,1),(177,1),(273,1),(279,1),(280,1),(287,1),(390,1)}
        45:{1,3,5}:{(22,1),(23,1),(33,1),(72,1),(79,1)}
        46:{1,3,7}:{(22,1),(24,1),(34,1),(73,1)}
        47:{1,2,4,5}:{(23,1),(35,1),(75,1),(79,1),(81,1),(107,1),(160,1),(165,1),(176,1),(208,1),(284,1),(295,1),(297,1),(394,1),(402,1),(408,1),(466,1),(482,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(36,1),(80,1),(82,1),(161,1),(403,1)}
        49:{1,4,5,6}:{(25,1),(27,1),(83,1),(84,1),(85,1),(108,1),(165,1),(183,1),(286,1),(300,1),(488,1)}
        50:{3,5,6}:{(25,1),(29,1),(86,1),(268,1),(385,1),(412,1)}
        51:{2,4,5,7}:{(25,1),(30,1),(85,1),(86,1),(87,1),(97,1),(184,1),(199,1),(413,1),(490,1),(530,1)}
        52:{2,3,5,6}:{(26,1),(33,1),(74,1),(88,1),(89,1),(90,1),(103,1),(169,1),(189,1),(207,1),(209,1),(284,1),(312,1),(313,1),(404,1),(470,1),(474,1),(515,1),(526,1),(545,1),(546,1)}
        53:{2,4,6}:{(26,1),(27,1),(35,1),(90,1),(91,1)}
        54:{2,5,7}:{(26,1),(28,1),(91,1),(92,1),(317,1)}
        55:{1,3,4,6}:{(27,1),(29,1),(37,1),(84,1),(90,1),(93,1),(94,1),(179,1),(194,1),(300,1),(412,1)}
        56:{1,4,7}:{(27,1),(28,1),(30,1),(91,1),(318,1)}
        57:{1,3,6,7}:{(28,1),(31,1),(39,1),(92,1),(95,1),(196,1),(307,1)}
        58:{3,4,7}:{(29,1),(30,1),(86,1),(530,1)}
        59:{2,4,6,7}:{(30,1),(31,1),(41,1),(95,1),(96,1),(97,1)}
        60:{2,3,5}:{(32,1),(77,1),(99,1),(189,1),(207,1),(284,1)}
        61:{2,3,4,7}:{(32,1),(34,1),(78,1),(100,1),(102,1),(192,1),(201,1),(288,1),(391,1)}
        62:{2,4}:{(33,1),(79,1),(101,1)}
        63:{2,3,5,7}:{(33,1),(34,1),(36,1),(80,1),(102,1),(103,1),(105,1),(207,1)}
        64:{3,5}:{(35,1),(90,1),(101,1)}
        65:{2,4,5,7}:{(35,1),(36,1),(38,1),(91,1),(102,1),(105,1),(106,1),(197,1),(207,1),(318,1),(323,1)}
        66:{2,6}:{(36,1),(39,1)}
        67:{2,4,5}:{(37,1),(93,1),(104,1),(107,1),(176,1),(208,1),(284,1)}
        68:{1,4,6}:{(38,1),(39,1),(41,1),(106,1),(108,1)}
        69:{3,4,6}:{(40,1),(41,1),(109,1),(385,1),(477,1)}
        70:{2,5,6}:{(41,1),(97,1),(108,1),(109,1),(281,1)}
        71:{2,4,6}:{(42,1),(44,1),(111,1),(112,1),(113,1),(218,1),(340,1),(441,1)}
        72:{2,3,5}:{(42,1),(45,1),(111,1),(113,1),(216,1)}
        73:{2,3,7}:{(42,1),(46,1),(112,1),(335,1)}
        74:{1,3,5,6}:{(43,1),(45,1),(52,1),(110,1),(115,1),(116,1),(117,1),(125,1),(223,1),(228,1),(236,1),(345,1),(347,1),(348,1),(447,1),(449,1),(509,1),(539,1)}
        75:{1,2,4,6}:{(43,1),(47,1),(53,1),(115,1),(117,1),(118,1),(141,1),(214,1),(225,1),(257,1),(352,1),(359,1),(441,1),(493,1)}
        76:{1,2,5,7}:{(43,1),(54,1),(116,1),(118,1),(119,1),(215,1),(245,1),(346,1),(351,1),(363,1),(445,1),(502,1)}
        77:{1,3,5}:{(44,1),(60,1),(111,1),(121,1),(216,1),(236,1),(341,1),(345,1)}
        78:{1,3,4,7}:{(44,1),(46,1),(61,1),(112,1),(122,1),(124,1),(220,1),(231,1),(335,1),(350,1),(442,1)}
        79:{1,4}:{(45,1),(62,1),(113,1)}
        80:{1,3,5,7}:{(45,1),(46,1),(48,1),(63,1),(114,1),(124,1),(125,1),(236,1)}
        81:{1,3,5}:{(47,1),(64,1),(117,1),(123,1),(126,1),(216,1),(355,1),(451,1),(497,1)}
        82:{1,2,6}:{(48,1),(66,1),(125,1),(218,1),(449,1)}
        83:{2,4,5,6}:{(49,1),(53,1),(127,1),(128,1),(129,1),(134,1),(155,1),(239,1),(252,1),(266,1),(454,1),(455,1)}
        84:{1,3,5,6}:{(49,1),(50,1),(55,1),(127,1),(129,1),(130,1),(223,1),(347,1)}
        85:{1,4,5,7}:{(49,1),(51,1),(56,1),(128,1),(130,1),(131,1),(143,1),(245,1),(360,1),(458,1)}
        86:{3,5,7}:{(50,1),(51,1),(58,1),(132,1),(456,1)}
        87:{2,4,6,7}:{(51,1),(131,1),(132,1),(133,1),(246,1),(247,1),(329,1)}
        88:{2,4,6}:{(52,1),(62,1),(115,1),(134,1),(135,1),(136,1),(266,1),(505,1),(550,1)}
        89:{2,3,5,7}:{(52,1),(54,1),(116,1),(136,1),(137,1),(139,1),(229,1),(251,1),(256,1),(259,1),(346,1),(502,1),(532,1),(548,1)}
        90:{3,6}:{(53,1),(64,1),(139,1)}
        91:{2,4,7}:{(53,1),(54,1),(56,1),(139,1)}
        92:{2,6,7}:{(54,1),(57,1),(66,1)}
        93:{2,4,6}:{(55,1),(67,1),(129,1),(138,1),(141,1),(142,1),(257,1)}
        94:{1,3,4,7}:{(55,1),(56,1),(58,1),(130,1),(139,1),(142,1),(240,1),(258,1),(360,1),(456,1)}
        95:{1,4,6,7}:{(56,1),(57,1),(59,1),(68,1),(140,1),(143,1)}
        96:{3,4,6,7}:{(58,1),(59,1),(69,1),(132,1),(144,1),(247,1)}
        97:{2,5,7}:{(59,1),(70,1),(143,1),(144,1)}
        98:{2,3,5,6}:{(60,1),(120,1),(145,1),(146,1),(149,1),(248,1),(263,1),(334,1),(342,1)}
        99:{2,4,5}:{(60,1),(62,1),(121,1),(145,1),(147,1)}
       100:{2,3,5,7}:{(60,1),(61,1),(122,1),(148,1),(149,1),(251,1),(346,1)}
       101:{3,4}:{(62,1),(64,1)}
       102:{2,4,7}:{(62,1),(63,1),(124,1),(151,1),(152,1)}
       103:{2,3,6}:{(63,1),(66,1),(125,1),(152,1),(154,1)}
       104:{2,3,5}:{(64,1),(67,1),(138,1),(150,1),(153,1),(451,1)}
       105:{3,5,7}:{(64,1),(65,1),(139,1),(151,1),(154,1),(265,1)}
       106:{2,4,6}:{(65,1),(66,1),(68,1),(154,1),(155,1),(266,1)}
       107:{1,4,5}:{(67,1),(141,1),(153,1),(235,1),(345,1)}
       108:{1,5,6}:{(68,1),(70,1),(143,1),(155,1),(236,1)}
       109:{3,5,6}:{(69,1),(70,1),(144,1),(156,1),(341,1)}
       110:{2,3,5,6}:{(72,1),(74,1),(157,1),(158,1),(159,1),(164,1),(169,1),(268,1),(273,1),(281,1),(284,1),(303,1),(385,1),(386,1),(395,1),(404,1),(412,1),(419,1),(492,1),(529,1),(531,1)}
       111:{2,5}:{(71,1),(77,1)}
       112:{2,4,7}:{(71,1),(73,1),(78,1),(161,1),(479,1)}
       113:{2,4}:{(72,1),(79,1),(162,1)}
       114:{2,3,5,7}:{(72,1),(73,1),(80,1),(161,1),(163,1),(164,1),(277,1),(281,1)}
       115:{1,4,6}:{(74,1),(79,1),(88,1),(157,1),(165,1),(167,1),(482,1)}
       116:{1,3,5,7}:{(74,1),(76,1),(89,1),(158,1),(167,1),(168,1),(170,1),(289,1),(291,1),(403,1)}
       117:{1,3,6}:{(75,1),(81,1),(90,1),(169,1),(170,1),(273,1),(412,1),(515,1)}
       118:{1,2,4,7}:{(75,1),(76,1),(91,1),(167,1),(170,1),(198,1),(274,1),(288,1),(317,1),(407,1),(413,1),(479,1),(516,1)}
       119:{1,2,6,7}:{(76,1),(82,1),(92,1),(168,1),(275,1),(307,1),(404,1),(417,1),(481,1),(484,1),(524,1)}
       120:{1,3,5,6}:{(77,1),(98,1),(159,1),(171,1),(172,1),(175,1),(273,1),(296,1),(390,1),(395,1),(398,1)}
       121:{1,4,5}:{(77,1),(79,1),(99,1),(160,1),(171,1),(397,1)}
       122:{1,3,5,7}:{(77,1),(78,1),(100,1),(161,1),(174,1),(175,1),(277,1),(403,1)}
       123:{1,3,4}:{(79,1),(81,1),(101,1),(162,1),(176,1),(482,1),(485,1),(520,1)}
       124:{1,4,7}:{(79,1),(80,1),(102,1),(163,1),(177,1)}
       125:{1,3,6}:{(80,1),(82,1),(103,1),(164,1),(177,1)}
       126:{2,3,5}:{(81,1),(169,1),(176,1),(178,1),(208,1),(284,1),(322,1),(394,1),(396,1)}
       127:{3,5,6}:{(83,1),(90,1),(179,1),(181,1),(189,1),(312,1)}
       128:{2,4,5,7}:{(83,1),(85,1),(91,1),(181,1),(182,1),(184,1),(197,1),(301,1),(318,1),(415,1),(416,1)}
       129:{2,5,6}:{(84,1),(93,1),(183,1),(184,1),(284,1),(404,1)}
       130:{1,3,5,7}:{(84,1),(85,1),(86,1),(94,1),(181,1),(184,1),(185,1)}
       131:{1,4,6,7}:{(85,1),(87,1),(182,1),(185,1),(186,1),(286,1),(307,1)}
       132:{3,6,7}:{(86,1),(87,1),(385,1)}
       133:{2,5,6,7}:{(87,1),(97,1),(186,1),(187,1),(386,1),(490,1)}
       134:{2,4,5}:{(88,1),(165,1),(189,1),(207,1),(284,1),(323,1),(546,1),(552,1)}
       135:{3,4,6}:{(88,1),(90,1),(101,1),(189,1),(192,1),(312,1),(515,1),(520,1)}
       136:{2,4,7}:{(88,1),(89,1),(167,1),(192,1),(318,1),(551,1)}
       137:{2,3,6,7}:{(89,1),(92,1),(103,1),(168,1),(193,1),(196,1),(312,1),(404,1),(524,1),(526,1),(542,1)}
       138:{2,3,6}:{(90,1),(93,1),(104,1),(194,1),(195,1),(412,1)}
       139:{3,7}:{(90,1),(91,1)}
       140:{2,4,6,7}:{(91,1),(92,1),(95,1),(106,1),(196,1),(197,1),(318,1)}
       141:{1,4,6}:{(93,1),(107,1),(183,1),(194,1),(198,1)}
       142:{2,4,7}:{(93,1),(94,1),(184,1),(195,1),(198,1),(317,1)}
       143:{1,5,7}:{(95,1),(97,1),(108,1),(197,1)}
       144:{3,5,7}:{(96,1),(97,1),(109,1),(199,1)}
       145:{2,4,6}:{(98,1),(99,1),(171,1),(200,1),(201,1)}
       146:{2,3,5,7}:{(98,1),(172,1),(201,1),(202,1),(308,1),(320,1),(391,1),(399,1)}
       147:{3,4,5}:{(99,1),(101,1),(189,1),(200,1),(552,1)}
       148:{2,4,5,7}:{(99,1),(100,1),(102,1),(174,1),(201,1),(203,1),(204,1),(207,1),(320,1)}
       149:{2,3,6}:{(100,1),(175,1),(204,1),(312,1),(404,1)}
       150:{2,3,4}:{(101,1),(104,1),(176,1),(205,1),(396,1),(485,1)}
       151:{3,4,7}:{(101,1),(102,1),(105,1),(206,1),(318,1)}
       152:{2,4,6}:{(102,1),(103,1),(177,1),(206,1),(207,1)}
       153:{1,3,5}:{(104,1),(107,1),(194,1),(205,1),(208,1)}
       154:{3,6}:{(105,1),(106,1)}
       155:{2,5,6}:{(106,1),(108,1),(197,1),(207,1),(209,1)}
       156:{4,5,6}:{(109,1),(199,1),(397,1),(477,1)}
       157:{2,4,6}:{(110,1),(113,1),(115,1),(210,1),(211,1),(212,1),(444,1),(460,1),(541,1)}
       158:{2,3,5,7}:{(110,1),(116,1),(212,1),(213,1),(215,1),(229,1),(328,1),(333,1),(335,1),(346,1),(363,1),(443,1),(456,1),(513,1)}
       159:{2,5,6}:{(111,1),(120,1),(214,1),(215,1),(218,1),(441,1)}
       160:{2,4,5}:{(111,1),(113,1),(121,1),(214,1),(216,1)}
       161:{2,5,7}:{(111,1),(112,1),(122,1),(218,1)}
       162:{3,4}:{(113,1),(216,1)}
       163:{2,4,7}:{(113,1),(114,1),(124,1),(220,1),(221,1)}
       164:{2,3,6}:{(114,1),(125,1),(218,1),(221,1),(338,1)}
       165:{1,4,5}:{(115,1),(134,1),(210,1),(223,1),(236,1),(345,1),(539,1)}
       166:{1,3,4,6}:{(115,1),(117,1),(123,1),(135,1),(211,1),(223,1),(225,1),(226,1),(347,1)}
       167:{1,4,7}:{(115,1),(116,1),(136,1),(212,1)}
       168:{1,3,6,7}:{(116,1),(119,1),(125,1),(137,1),(213,1),(227,1),(347,1),(449,1),(509,1)}
       169:{2,3,6}:{(117,1),(126,1),(225,1),(228,1),(229,1),(257,1),(441,1)}
       170:{1,3,7}:{(117,1),(118,1),(139,1),(229,1),(335,1),(456,1),(532,1)}
       171:{1,4,6}:{(120,1),(121,1),(145,1),(214,1),(231,1),(444,1)}
       172:{1,3,5,7}:{(120,1),(146,1),(215,1),(231,1),(232,1),(335,1),(354,1),(442,1),(443,1),(445,1)}
       173:{1,3,4,5}:{(121,1),(123,1),(147,1),(216,1),(223,1),(230,1),(233,1),(324,1),(337,1),(427,1),(497,1)}
       174:{1,4,5,7}:{(121,1),(122,1),(124,1),(148,1),(217,1),(231,1),(234,1),(236,1),(354,1)}
       175:{1,3,6}:{(122,1),(149,1),(218,1),(234,1),(338,1),(449,1)}
       176:{2,4}:{(123,1),(126,1),(235,1)}
       177:{1,4,6}:{(124,1),(125,1),(152,1),(221,1),(236,1)}
       178:{1,3,5}:{(126,1),(228,1),(235,1),(237,1),(345,1),(355,1)}
       179:{3,4,6}:{(127,1),(238,1),(239,1),(240,1),(266,1)}
       180:{2,3,5,6}:{(127,1),(129,1),(138,1),(239,1),(241,1),(242,1),(250,1),(370,1),(454,1)}
       181:{3,5,7}:{(127,1),(128,1),(139,1),(240,1),(243,1)}
       182:{2,4,6,7}:{(128,1),(131,1),(243,1),(244,1),(246,1),(252,1),(365,1)}
       183:{1,5,6}:{(129,1),(141,1),(245,1),(345,1),(449,1)}
       184:{2,5,7}:{(129,1),(130,1),(142,1),(245,1),(246,1)}
       185:{1,3,6,7}:{(130,1),(131,1),(132,1),(243,1),(246,1),(347,1)}
       186:{1,5,6,7}:{(131,1),(133,1),(143,1),(244,1),(348,1),(458,1)}
       187:{3,5,6,7}:{(132,1),(133,1),(144,1),(247,1),(437,1),(513,1)}
       188:{2,4,5,6}:{(134,1),(145,1),(222,1),(248,1),(249,1),(252,1),(263,1),(342,1),(376,1),(493,1),(537,1),(550,1)}
       189:{3,5}:{(134,1),(135,1)}
       190:{2,4,5,7}:{(134,1),(136,1),(224,1),(251,1),(252,1),(256,1),(346,1),(374,1)}
       191:{2,3,4,6}:{(135,1),(138,1),(150,1),(225,1),(239,1),(250,1),(253,1),(254,1),(370,1),(438,1),(505,1),(538,1)}
       192:{3,4,7}:{(135,1),(136,1),(139,1),(251,1),(532,1)}
       193:{2,4,6,7}:{(136,1),(137,1),(152,1),(227,1),(252,1),(255,1),(256,1),(538,1)}
       194:{1,3,6}:{(138,1),(141,1),(153,1),(257,1),(258,1)}
       195:{2,3,7}:{(138,1),(139,1),(142,1),(258,1),(456,1)}
       196:{3,6,7}:{(139,1),(140,1),(154,1),(259,1)}
       197:{2,5,7}:{(140,1),(143,1),(155,1),(259,1)}
       198:{1,4,7}:{(141,1),(142,1),(245,1),(258,1)}
       199:{4,5,7}:{(144,1),(156,1),(247,1)}
       200:{3,4,6}:{(145,1),(147,1),(248,1),(260,1),(550,1)}
       201:{2,4,7}:{(145,1),(146,1),(231,1),(260,1)}
       202:{2,3,6,7}:{(146,1),(149,1),(232,1),(261,1),(366,1),(446,1)}
       203:{3,4,5,7}:{(147,1),(148,1),(151,1),(251,1),(260,1),(262,1),(265,1),(374,1),(375,1)}
       204:{2,4,6}:{(148,1),(149,1),(234,1),(262,1),(263,1)}
       205:{1,3,4}:{(150,1),(153,1),(235,1),(264,1),(355,1)}
       206:{3,4,6}:{(151,1),(152,1),(154,1),(265,1),(266,1)}
       207:{2,5}:{(152,1),(236,1),(265,1)}
       208:{2,5}:{(153,1),(257,1),(264,1)}
       209:{3,5,6}:{(154,1),(155,1),(259,1),(265,1),(266,1)}
       210:{2,4,5}:{(157,1),(165,1),(268,1),(281,1),(284,1),(397,1),(531,1),(547,1)}
       211:{3,4,6}:{(157,1),(162,1),(268,1),(271,1),(273,1),(385,1),(412,1),(485,1)}
       212:{2,4,7}:{(157,1),(158,1),(167,1),(271,1),(480,1),(530,1)}
       213:{2,3,6,7}:{(158,1),(164,1),(168,1),(272,1),(275,1),(385,1),(392,1),(404,1),(417,1),(489,1),(492,1)}
       214:{2,4,6}:{(159,1),(160,1),(171,1),(273,1),(274,1)}
       215:{2,5,7}:{(159,1),(172,1),(274,1),(275,1),(479,1)}
       216:{3,5}:{(160,1),(162,1),(273,1)}
       217:{2,4,5,7}:{(160,1),(161,1),(163,1),(174,1),(274,1),(277,1),(278,1),(281,1),(393,1),(397,1),(480,1)}
       218:{2,6}:{(161,1),(175,1)}
       219:{2,3,4}:{(162,1),(176,1),(276,1),(279,1),(322,1),(520,1)}
       220:{3,4,7}:{(162,1),(163,1),(277,1),(280,1),(480,1)}
       221:{2,4,6}:{(163,1),(164,1),(177,1),(280,1),(281,1)}
       222:{1,4,5,6}:{(165,1),(171,1),(188,1),(267,1),(282,1),(283,1),(286,1),(296,1),(398,1),(463,1),(523,1)}
       223:{1,3,5}:{(165,1),(166,1),(189,1),(268,1),(284,1)}
       224:{1,4,5,7}:{(165,1),(167,1),(190,1),(269,1),(285,1),(286,1),(289,1),(403,1)}
       225:{2,4,6}:{(166,1),(169,1),(176,1),(284,1),(287,1),(288,1),(404,1)}
       226:{1,3,4,7}:{(166,1),(167,1),(170,1),(192,1),(271,1),(285,1),(288,1)}
       227:{1,4,6,7}:{(167,1),(168,1),(177,1),(193,1),(272,1),(286,1),(289,1),(527,1)}
       228:{1,3,6}:{(169,1),(178,1),(287,1),(290,1),(291,1)}
       229:{2,3,7}:{(169,1),(170,1),(288,1),(291,1),(317,1),(479,1)}
       230:{1,3,4,6}:{(171,1),(173,1),(200,1),(273,1),(282,1),(292,1),(293,1),(377,1),(390,1),(463,1),(515,1)}
       231:{1,4,7}:{(171,1),(172,1),(201,1),(274,1),(480,1)}
       232:{1,3,6,7}:{(172,1),(175,1),(202,1),(275,1),(294,1),(392,1),(481,1)}
       233:{2,4,5}:{(173,1),(176,1),(276,1),(284,1),(292,1),(295,1),(394,1)}
       234:{1,4,6}:{(174,1),(175,1),(204,1),(278,1),(296,1)}
       235:{1,4}:{(176,1),(178,1)}
       236:{1,5}:{(177,1),(207,1),(281,1)}
       237:{1,2,5}:{(178,1),(208,1),(290,1),(297,1),(394,1)}
       238:{3,4,5}:{(179,1),(189,1),(298,1),(323,1),(520,1)}
       239:{2,4,6}:{(179,1),(180,1),(298,1),(300,1),(301,1)}
       240:{3,4,7}:{(179,1),(181,1),(301,1),(318,1)}
       241:{1,3,5,6}:{(180,1),(183,1),(194,1),(300,1),(303,1),(304,1),(310,1),(412,1),(421,1),(488,1),(529,1)}
       242:{2,3,5,7}:{(180,1),(181,1),(184,1),(195,1),(301,1),(304,1),(305,1),(415,1)}
       243:{3,6,7}:{(181,1),(182,1),(312,1)}
       244:{2,5,6,7}:{(182,1),(186,1),(197,1),(306,1),(313,1),(415,1)}
       245:{1,5,7}:{(183,1),(184,1),(198,1),(307,1)}
       246:{2,6,7}:{(184,1),(185,1),(307,1),(404,1)}
       247:{4,6,7}:{(187,1),(199,1),(477,1),(530,1)}
       248:{3,5,6}:{(188,1),(189,1),(200,1),(308,1),(312,1),(515,1)}
       249:{2,4,5,7}:{(188,1),(201,1),(283,1),(308,1),(309,1),(320,1),(399,1),(424,1),(516,1),(543,1),(551,1)}
       250:{2,3,5}:{(189,1),(191,1),(284,1),(298,1),(310,1),(546,1)}
       251:{3,5,7}:{(189,1),(190,1),(192,1),(312,1)}
       252:{2,4,6}:{(190,1),(286,1),(312,1),(313,1),(404,1),(422,1)}
       253:{1,3,4,6}:{(191,1),(194,1),(205,1),(287,1),(300,1),(310,1),(314,1),(315,1),(405,1),(412,1),(421,1),(482,1),(485,1),(527,1),(528,1)}
       254:{2,3,4,7}:{(191,1),(192,1),(195,1),(288,1),(301,1),(311,1),(315,1),(478,1),(525,1)}
       255:{3,4,6,7}:{(192,1),(193,1),(196,1),(206,1),(312,1),(316,1),(318,1),(422,1),(542,1),(544,1),(551,1)}
       256:{2,5,7}:{(193,1),(207,1),(289,1),(313,1),(316,1),(546,1)}
       257:{2,6}:{(194,1),(208,1),(317,1)}
       258:{1,3,7}:{(194,1),(195,1),(198,1),(317,1)}
       259:{3,5,7}:{(196,1),(197,1),(209,1),(318,1)}
       260:{3,4,7}:{(200,1),(201,1),(308,1),(551,1)}
       261:{2,4,6,7}:{(201,1),(202,1),(204,1),(294,1),(319,1),(320,1)}
       262:{3,4,6}:{(203,1),(204,1),(312,1),(321,1),(422,1)}
       263:{2,5,6}:{(204,1),(207,1),(296,1),(320,1),(321,1)}
       264:{2,4}:{(205,1),(208,1),(322,1)}
       265:{3,5}:{(206,1),(207,1),(323,1)}
       266:{4,6}:{(209,1),(318,1),(323,1)}
       267:{2,4,5,6}:{(210,1),(214,1),(222,1),(325,1),(326,1),(329,1),(339,1),(342,1),(425,1),(444,1),(500,1),(501,1)}
       268:{3,5}:{(210,1),(211,1)}
       269:{2,4,5,7}:{(210,1),(212,1),(224,1),(328,1),(329,1),(333,1),(346,1),(440,1)}
       270:{2,3,4,6}:{(211,1),(219,1),(225,1),(327,1),(330,1),(331,1),(334,1),(372,1),(425,1),(436,1),(460,1),(514,1)}
       271:{3,4,7}:{(211,1),(212,1),(328,1),(335,1),(456,1)}
       272:{2,4,6,7}:{(212,1),(213,1),(221,1),(227,1),(329,1),(332,1),(333,1),(514,1)}
       273:{3,6}:{(214,1),(216,1),(335,1)}
       274:{2,4,7}:{(214,1),(215,1),(231,1),(335,1)}
       275:{2,6,7}:{(215,1),(218,1),(232,1)}
       276:{2,3,5}:{(216,1),(219,1),(233,1),(334,1),(337,1),(497,1)}
       277:{3,5,7}:{(216,1),(217,1),(220,1),(335,1),(338,1),(341,1)}
       278:{2,4,6}:{(217,1),(218,1),(234,1),(338,1),(339,1),(444,1)}
       279:{1,3,4}:{(219,1),(235,1),(337,1),(340,1),(355,1)}
       280:{3,4,6}:{(220,1),(221,1),(338,1),(341,1),(444,1)}
       281:{2,5}:{(221,1),(236,1),(341,1)}
       282:{1,3,5,6}:{(222,1),(223,1),(230,1),(248,1),(325,1),(342,1),(343,1),(347,1)}
       283:{1,4,5,7}:{(222,1),(231,1),(249,1),(326,1),(343,1),(344,1),(354,1),(445,1),(494,1),(534,1)}
       284:{2,5}:{(223,1),(225,1),(345,1)}
       285:{1,3,5,7}:{(223,1),(224,1),(226,1),(251,1),(328,1),(346,1),(347,1)}
       286:{1,4,6}:{(224,1),(252,1),(329,1),(347,1),(348,1),(449,1)}
       287:{1,4,6}:{(225,1),(228,1),(235,1),(345,1),(350,1),(449,1)}
       288:{2,4,7}:{(225,1),(226,1),(229,1),(346,1),(350,1)}
       289:{1,5,7}:{(227,1),(236,1),(256,1),(333,1),(348,1),(539,1)}
       290:{1,2,6}:{(228,1),(237,1),(257,1),(351,1),(441,1)}
       291:{1,3,7}:{(228,1),(229,1),(350,1),(351,1)}
       292:{2,4,6}:{(230,1),(233,1),(334,1),(342,1),(352,1),(353,1),(441,1)}
       293:{1,3,4,7}:{(230,1),(231,1),(260,1),(335,1),(343,1),(353,1),(426,1),(442,1),(494,1),(532,1)}
       294:{1,4,6,7}:{(231,1),(232,1),(234,1),(261,1),(336,1),(354,1)}
       295:{1,4,5}:{(233,1),(235,1),(337,1),(345,1),(352,1)}
       296:{1,5,6}:{(234,1),(236,1),(263,1),(339,1),(354,1)}
       297:{1,2,4}:{(235,1),(237,1),(264,1),(340,1),(355,1)}
       298:{2,4,5}:{(238,1),(239,1),(250,1),(356,1),(505,1)}
       299:{3,4,5,7}:{(238,1),(240,1),(251,1),(357,1),(358,1),(362,1),(374,1),(535,1),(549,1)}
       300:{1,4,6}:{(239,1),(241,1),(356,1),(359,1),(360,1),(541,1)}
       301:{2,4,7}:{(239,1),(240,1),(242,1),(360,1)}
       302:{3,4,6,7}:{(240,1),(243,1),(358,1),(361,1),(362,1),(365,1)}
       303:{2,5,6}:{(241,1),(257,1),(359,1),(363,1),(368,1),(462,1)}
       304:{1,3,5,7}:{(241,1),(242,1),(245,1),(258,1),(360,1),(363,1),(364,1),(456,1),(458,1),(513,1)}
       305:{2,3,6,7}:{(242,1),(243,1),(246,1),(361,1),(364,1),(370,1)}
       306:{3,5,6,7}:{(243,1),(244,1),(259,1),(362,1),(365,1),(371,1)}
       307:{1,6,7}:{(245,1),(246,1),(449,1)}
       308:{3,5,7}:{(248,1),(249,1),(260,1),(366,1),(532,1)}
       309:{2,4,6,7}:{(249,1),(252,1),(344,1),(366,1),(367,1),(446,1),(459,1)}
       310:{1,3,5}:{(250,1),(253,1),(345,1),(356,1),(368,1),(451,1),(539,1),(540,1)}
       311:{2,3,5,7}:{(250,1),(251,1),(254,1),(346,1),(357,1),(369,1),(370,1)}
       312:{3,6}:{(251,1),(252,1)}
       313:{2,5,6}:{(252,1),(256,1),(348,1),(371,1)}
       314:{2,4,6}:{(253,1),(257,1),(264,1),(368,1),(372,1),(373,1),(460,1),(462,1)}
       315:{1,3,4,7}:{(253,1),(254,1),(258,1),(350,1),(360,1),(369,1),(373,1),(450,1),(456,1),(508,1),(510,1)}
       316:{3,5,7}:{(255,1),(256,1),(265,1),(371,1),(374,1),(549,1)}
       317:{2,7}:{(257,1),(258,1)}
       318:{4,7}:{(259,1),(266,1)}
       319:{3,4,6,7}:{(260,1),(261,1),(262,1),(366,1),(375,1),(459,1)}
       320:{2,5,7}:{(261,1),(263,1),(354,1),(375,1)}
       321:{3,5,6}:{(262,1),(263,1),(265,1),(375,1),(376,1)}
       322:{2,3}:{(264,1),(355,1)}
       323:{4,5}:{(265,1),(266,1)}
       324:{3,4,5}:{(268,1),(377,1),(378,1),(397,1),(485,1)}
       325:{3,5,6}:{(267,1),(268,1),(273,1),(377,1),(381,1),(385,1)}
       326:{2,4,5,7}:{(267,1),(274,1),(283,1),(381,1),(382,1),(393,1),(399,1),(464,1),(480,1),(518,1),(519,1)}
       327:{2,3,5}:{(268,1),(270,1),(284,1),(378,1),(383,1),(531,1)}
       328:{3,5,7}:{(268,1),(269,1),(271,1),(385,1)}
       329:{2,4,6}:{(269,1),(286,1),(385,1),(386,1),(404,1),(477,1)}
       330:{1,3,4,6}:{(270,1),(279,1),(287,1),(383,1),(387,1),(388,1),(390,1),(405,1),(463,1),(476,1),(482,1),(515,1),(520,1),(527,1),(544,1)}
       331:{2,3,4,7}:{(270,1),(271,1),(288,1),(384,1),(388,1),(391,1),(423,1),(464,1),(491,1)}
       332:{3,4,6,7}:{(271,1),(272,1),(280,1),(385,1),(389,1),(392,1),(477,1),(480,1),(489,1),(528,1),(530,1)}
       333:{2,5,7}:{(272,1),(281,1),(289,1),(386,1),(389,1),(531,1)}
       334:{2,3,6}:{(273,1),(276,1),(292,1),(390,1),(391,1),(515,1)}
       335:{3,7}:{(273,1),(274,1)}
       336:{2,4,6,7}:{(274,1),(275,1),(278,1),(294,1),(392,1),(393,1),(480,1)}
       337:{1,3,5}:{(276,1),(279,1),(295,1),(390,1),(394,1)}
       338:{3,6}:{(277,1),(278,1)}
       339:{2,5,6}:{(278,1),(281,1),(296,1),(393,1),(395,1)}
       340:{2,4}:{(279,1),(394,1),(396,1)}
       341:{3,5}:{(280,1),(281,1),(397,1)}
       342:{2,5,6}:{(282,1),(284,1),(292,1),(398,1),(399,1),(404,1)}
       343:{1,3,5,7}:{(282,1),(283,1),(293,1),(308,1),(381,1),(399,1),(400,1)}
       344:{1,4,6,7}:{(283,1),(286,1),(309,1),(382,1),(400,1),(401,1),(481,1)}
       345:{1,5}:{(284,1),(287,1)}
       346:{2,5,7}:{(284,1),(285,1),(288,1),(403,1),(404,1)}
       347:{1,3,6}:{(285,1),(286,1),(312,1),(385,1),(404,1)}
       348:{1,5,6}:{(286,1),(289,1),(313,1),(386,1)}
       349:{1,2,4,6}:{(287,1),(290,1),(297,1),(314,1),(387,1),(402,1),(405,1),(406,1),(482,1),(484,1),(527,1)}
       350:{1,4,7}:{(287,1),(288,1),(291,1),(403,1)}
       351:{1,2,7}:{(290,1),(291,1),(317,1),(479,1)}
       352:{1,4,6}:{(292,1),(295,1),(390,1),(398,1),(407,1)}
       353:{2,4,7}:{(292,1),(293,1),(391,1),(399,1),(407,1),(479,1)}
       354:{1,5,7}:{(294,1),(296,1),(320,1),(393,1)}
       355:{1,3}:{(297,1),(322,1),(396,1)}
       356:{1,4,5}:{(298,1),(300,1),(310,1),(408,1),(482,1),(547,1)}
       357:{2,4,5,7}:{(298,1),(299,1),(301,1),(311,1),(409,1),(410,1),(415,1),(525,1),(546,1)}
       358:{3,4,6}:{(299,1),(312,1),(410,1),(411,1),(422,1)}
       359:{2,4,6}:{(300,1),(303,1),(408,1),(412,1),(413,1)}
       360:{1,4,7}:{(300,1),(301,1),(304,1),(413,1),(530,1)}
       361:{2,4,6,7}:{(301,1),(302,1),(305,1),(410,1),(414,1),(415,1)}
       362:{3,5,7}:{(302,1),(411,1),(415,1),(416,1)}
       363:{2,5,7}:{(303,1),(304,1),(317,1),(413,1),(417,1)}
       364:{1,3,6,7}:{(304,1),(305,1),(307,1),(414,1),(417,1),(421,1),(489,1)}
       365:{4,6,7}:{(306,1),(318,1),(416,1),(422,1)}
       366:{3,6,7}:{(308,1),(309,1),(312,1)}
       367:{2,5,6,7}:{(309,1),(313,1),(320,1),(401,1),(418,1),(543,1)}
       368:{2,5}:{(310,1),(314,1)}
       369:{1,3,5,7}:{(310,1),(311,1),(315,1),(403,1),(409,1),(420,1),(421,1),(486,1)}
       370:{2,3,6}:{(311,1),(312,1),(404,1),(410,1),(421,1)}
       371:{3,5,6}:{(312,1),(313,1),(316,1),(422,1)}
       372:{2,3,6}:{(314,1),(322,1),(405,1),(412,1),(419,1),(423,1)}
       373:{2,4,7}:{(314,1),(315,1),(317,1),(420,1),(423,1)}
       374:{4,5,7}:{(316,1),(318,1),(323,1),(422,1),(551,1),(552,1)}
       375:{3,5,7}:{(319,1),(320,1),(321,1),(424,1)}
       376:{4,5,6}:{(321,1),(323,1),(422,1),(424,1)}
       377:{3,4,6}:{(324,1),(325,1),(425,1),(426,1),(444,1)}
       378:{2,4,5}:{(324,1),(327,1),(425,1),(427,1),(460,1)}
       379:{3,4,5,7}:{(324,1),(328,1),(426,1),(428,1),(429,1),(440,1),(496,1),(510,1),(540,1)}
       380:{2,3,5,6}:{(325,1),(327,1),(334,1),(342,1),(425,1),(430,1),(431,1),(436,1),(500,1)}
       381:{3,5,7}:{(325,1),(326,1),(335,1),(426,1),(432,1)}
       382:{2,4,6,7}:{(326,1),(329,1),(344,1),(432,1),(433,1),(446,1),(504,1)}
       383:{1,3,5}:{(327,1),(330,1),(345,1),(427,1),(434,1),(497,1),(539,1),(549,1)}
       384:{2,3,5,7}:{(327,1),(328,1),(331,1),(346,1),(428,1),(435,1),(436,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(333,1),(348,1),(437,1)}
       387:{2,4,6}:{(330,1),(340,1),(434,1),(438,1),(439,1),(441,1),(505,1),(507,1)}
       388:{1,3,4,7}:{(330,1),(331,1),(350,1),(435,1),(439,1),(442,1),(450,1),(494,1),(508,1),(532,1),(535,1)}
       389:{3,5,7}:{(332,1),(333,1),(341,1),(437,1),(440,1),(540,1)}
       390:{1,3,6}:{(334,1),(337,1),(352,1),(441,1),(442,1)}
       391:{2,3,7}:{(334,1),(335,1),(353,1),(442,1),(532,1)}
       392:{3,6,7}:{(335,1),(336,1),(338,1),(443,1)}
       393:{2,5,7}:{(336,1),(339,1),(354,1),(443,1)}
       394:{2,5}:{(337,1),(340,1),(441,1)}
       395:{3,5,6}:{(338,1),(339,1),(341,1),(443,1),(444,1)}
       396:{2,3}:{(340,1),(355,1)}
       397:{4,5}:{(341,1),(444,1)}
       398:{1,5,6}:{(342,1),(345,1),(352,1),(445,1),(449,1)}
       399:{2,5,7}:{(342,1),(343,1),(353,1),(445,1),(446,1)}
       400:{1,3,6,7}:{(343,1),(344,1),(347,1),(366,1),(432,1),(446,1)}
       401:{1,5,6,7}:{(344,1),(348,1),(354,1),(367,1),(433,1),(534,1)}
       402:{1,2,5}:{(345,1),(349,1),(368,1),(434,1),(447,1),(539,1)}
       403:{1,5,7}:{(345,1),(346,1),(350,1),(449,1)}
       404:{2,6}:{(346,1),(347,1),(449,1)}
       405:{1,3,6}:{(349,1),(355,1),(372,1),(438,1),(447,1),(450,1)}
       406:{1,2,4,7}:{(349,1),(350,1),(351,1),(373,1),(439,1),(448,1),(450,1),(508,1)}
       407:{1,4,7}:{(352,1),(353,1),(442,1),(445,1)}
       408:{2,4,5}:{(356,1),(359,1),(368,1),(451,1),(460,1)}
       409:{1,4,5,7}:{(356,1),(357,1),(360,1),(369,1),(452,1),(453,1),(458,1),(508,1),(539,1)}
       410:{2,4,6}:{(357,1),(358,1),(370,1),(453,1),(454,1)}
       411:{3,5,6}:{(358,1),(362,1),(454,1),(455,1),(549,1)}
       412:{3,6}:{(359,1),(451,1),(456,1)}
       413:{2,4,7}:{(359,1),(360,1),(363,1),(456,1)}
       414:{1,4,6,7}:{(360,1),(361,1),(364,1),(453,1),(457,1),(458,1)}
       415:{2,5,7}:{(361,1),(362,1),(454,1),(458,1)}
       416:{4,5,7}:{(362,1),(365,1),(455,1)}
       417:{2,6,7}:{(363,1),(364,1),(462,1)}
       418:{3,5,6,7}:{(366,1),(367,1),(371,1),(375,1),(459,1),(548,1)}
       419:{2,3,5}:{(368,1),(372,1),(447,1),(451,1),(460,1)}
       420:{2,5,7}:{(368,1),(369,1),(373,1),(462,1)}
       421:{1,3,6}:{(369,1),(370,1),(449,1),(453,1),(462,1),(511,1)}
       422:{4,6}:{(371,1),(374,1)}
       423:{2,3,7}:{(372,1),(373,1),(450,1),(456,1)}
       424:{4,5,7}:{(375,1),(376,1),(459,1)}
       425:{2,4,6}:{(377,1),(378,1),(380,1),(463,1),(464,1)}
       426:{3,4,7}:{(377,1),(381,1),(464,1),(480,1)}
       427:{1,4,5}:{(378,1),(383,1),(463,1),(466,1),(482,1),(552,1)}
       428:{2,4,5,7}:{(378,1),(379,1),(384,1),(464,1),(467,1),(468,1),(491,1),(518,1),(531,1)}
       429:{3,4,6}:{(379,1),(385,1),(468,1),(469,1),(477,1)}
       430:{1,3,5,6}:{(380,1),(383,1),(390,1),(398,1),(463,1),(470,1),(471,1),(476,1),(515,1),(523,1),(545,1)}
       431:{2,3,5,7}:{(380,1),(381,1),(391,1),(399,1),(464,1),(471,1),(472,1),(518,1)}
       432:{3,6,7}:{(381,1),(382,1),(385,1)}
       433:{2,5,6,7}:{(382,1),(386,1),(393,1),(401,1),(473,1),(518,1)}
       434:{2,5}:{(383,1),(387,1)}
       435:{1,3,5,7}:{(383,1),(384,1),(388,1),(403,1),(467,1),(475,1),(476,1),(521,1)}
       436:{2,3,6}:{(384,1),(385,1),(404,1),(468,1),(476,1)}
       437:{3,5,6}:{(385,1),(386,1),(389,1),(477,1)}
       438:{2,3,6}:{(387,1),(396,1),(405,1),(474,1),(478,1),(515,1)}
       439:{2,4,7}:{(387,1),(388,1),(475,1),(478,1),(479,1)}
       440:{4,5,7}:{(389,1),(397,1),(477,1),(480,1),(530,1),(547,1)}
       441:{2,6}:{(390,1),(394,1),(479,1)}
       442:{1,3,7}:{(390,1),(391,1),(407,1),(479,1)}
       443:{3,5,7}:{(392,1),(393,1),(395,1),(480,1)}
       444:{4,6}:{(395,1),(397,1),(480,1)}
       445:{1,5,7}:{(398,1),(399,1),(407,1),(481,1)}
       446:{2,6,7}:{(399,1),(400,1),(404,1),(481,1)}
       447:{1,3,5}:{(402,1),(405,1),(419,1),(474,1),(482,1)}
       448:{1,2,5,7}:{(402,1),(403,1),(406,1),(420,1),(475,1),(483,1),(484,1)}
       449:{1,6}:{(403,1),(404,1)}
       450:{1,3,7}:{(405,1),(406,1),(423,1),(478,1)}
       451:{3,5}:{(408,1),(412,1),(485,1)}
       452:{2,4,5,7}:{(408,1),(409,1),(413,1),(420,1),(486,1),(487,1),(490,1),(491,1),(530,1),(531,1),(547,1)}
       453:{1,4,6}:{(409,1),(410,1),(421,1),(487,1),(488,1)}
       454:{2,5,6}:{(410,1),(411,1),(415,1),(488,1),(546,1)}
       455:{4,5,6}:{(411,1),(416,1),(422,1),(552,1)}
       456:{3,7}:{(412,1),(413,1)}
       457:{2,4,6,7}:{(413,1),(414,1),(417,1),(487,1),(489,1),(490,1),(530,1)}
       458:{1,5,7}:{(414,1),(415,1),(488,1),(490,1)}
       459:{4,6,7}:{(418,1),(422,1),(424,1),(551,1)}
       460:{2,4}:{(419,1),(482,1),(485,1)}
       461:{2,3,5,7}:{(419,1),(420,1),(423,1),(483,1),(486,1),(491,1),(492,1),(531,1)}
       462:{2,6}:{(420,1),(421,1)}
       463:{1,4,6}:{(425,1),(427,1),(430,1),(493,1),(494,1),(550,1)}
       464:{2,4,7}:{(425,1),(426,1),(431,1),(494,1)}
       465:{3,4,6,7}:{(426,1),(429,1),(432,1),(495,1),(496,1),(504,1)}
       466:{2,4,5}:{(427,1),(434,1),(493,1),(497,1),(505,1)}
       467:{1,4,5,7}:{(427,1),(428,1),(435,1),(494,1),(498,1),(499,1),(508,1),(534,1),(539,1)}
       468:{2,4,6}:{(428,1),(429,1),(436,1),(499,1),(500,1)}
       469:{3,5,6}:{(429,1),(496,1),(500,1),(501,1),(540,1)}
       470:{2,5,6}:{(430,1),(434,1),(441,1),(493,1),(502,1),(507,1)}
       471:{1,3,5,7}:{(430,1),(431,1),(442,1),(445,1),(494,1),(502,1),(503,1),(532,1),(534,1),(548,1)}
       472:{2,3,6,7}:{(431,1),(432,1),(436,1),(446,1),(495,1),(503,1)}
       473:{3,5,6,7}:{(432,1),(433,1),(437,1),(443,1),(496,1),(504,1)}
       474:{2,3,5}:{(434,1),(438,1),(447,1),(497,1),(505,1)}
       475:{2,5,7}:{(434,1),(435,1),(439,1),(507,1)}
       476:{1,3,6}:{(435,1),(436,1),(449,1),(499,1),(507,1),(536,1)}
       477:{4,6}:{(437,1),(440,1)}
       478:{2,3,7}:{(438,1),(439,1),(450,1),(532,1)}
       479:{2,7}:{(441,1),(442,1)}
       480:{4,7}:{(443,1),(444,1)}
       481:{1,6,7}:{(445,1),(446,1),(449,1)}
       482:{1,4}:{(447,1),(460,1),(505,1)}
       483:{1,3,5,7}:{(447,1),(448,1),(450,1),(461,1),(506,1),(508,1),(509,1),(539,1)}
       484:{1,2,6}:{(448,1),(449,1),(462,1),(507,1),(509,1)}
       485:{3,4}:{(451,1),(460,1)}
       486:{3,5,7}:{(451,1),(452,1),(456,1),(510,1),(511,1),(540,1)}
       487:{2,4,6}:{(452,1),(453,1),(462,1),(511,1),(512,1),(541,1)}
       488:{1,5,6}:{(453,1),(454,1),(458,1),(512,1),(539,1)}
       489:{3,6,7}:{(456,1),(457,1),(511,1),(513,1)}
       490:{2,5,7}:{(457,1),(458,1),(512,1),(513,1)}
       491:{2,4,7}:{(460,1),(461,1),(508,1),(510,1),(514,1)}
       492:{2,3,6}:{(461,1),(462,1),(509,1),(511,1),(514,1)}
       493:{2,4,6}:{(463,1),(466,1),(470,1),(515,1),(516,1)}
       494:{1,4,7}:{(463,1),(464,1),(471,1),(516,1),(551,1)}
       495:{2,4,6,7}:{(464,1),(465,1),(468,1),(472,1),(517,1),(518,1)}
       496:{3,5,7}:{(465,1),(469,1),(518,1),(519,1)}
       497:{3,5}:{(466,1),(515,1),(520,1)}
       498:{2,4,5,7}:{(466,1),(467,1),(475,1),(516,1),(521,1),(522,1),(525,1),(543,1),(546,1),(551,1),(552,1)}
       499:{1,4,6}:{(467,1),(468,1),(476,1),(522,1),(523,1)}
       500:{2,5,6}:{(468,1),(469,1),(518,1),(523,1),(531,1)}
       501:{4,5,6}:{(469,1),(477,1),(519,1),(547,1)}
       502:{2,5,7}:{(470,1),(471,1),(479,1),(516,1),(524,1)}
       503:{1,3,6,7}:{(471,1),(472,1),(476,1),(481,1),(517,1),(524,1),(542,1)}
       504:{4,6,7}:{(473,1),(477,1),(480,1),(519,1)}
       505:{2,4}:{(474,1),(482,1),(520,1)}
       506:{2,3,5,7}:{(474,1),(475,1),(478,1),(483,1),(521,1),(525,1),(526,1),(546,1)}
       507:{2,6}:{(475,1),(476,1)}
       508:{1,4,7}:{(482,1),(483,1),(491,1),(525,1),(527,1)}
       509:{1,3,6}:{(483,1),(484,1),(492,1),(526,1),(527,1)}
       510:{3,4,7}:{(485,1),(486,1),(491,1),(528,1),(530,1)}
       511:{3,6}:{(486,1),(487,1)}
       512:{2,5,6}:{(487,1),(488,1),(490,1),(529,1),(531,1)}
       513:{3,5,7}:{(489,1),(490,1),(529,1),(530,1)}
       514:{2,4,6}:{(491,1),(492,1),(527,1),(528,1),(531,1)}
       515:{3,6}:{(493,1),(497,1),(532,1)}
       516:{2,4,7}:{(493,1),(494,1),(502,1),(532,1)}
       517:{1,4,6,7}:{(494,1),(495,1),(499,1),(503,1),(533,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(500,1),(534,1)}
       519:{4,5,7}:{(496,1),(501,1),(504,1)}
       520:{3,4}:{(497,1),(505,1)}
       521:{3,5,7}:{(497,1),(498,1),(532,1),(535,1),(536,1),(549,1)}
       522:{2,4,6}:{(498,1),(499,1),(507,1),(536,1),(537,1),(550,1)}
       523:{1,5,6}:{(499,1),(500,1),(534,1),(537,1),(539,1)}
       524:{2,6,7}:{(502,1),(503,1),(507,1)}
       525:{2,4,7}:{(505,1),(506,1),(508,1),(535,1),(538,1)}
       526:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       527:{1,4,6}:{(508,1),(509,1),(514,1),(538,1),(539,1)}
       528:{3,4,6}:{(510,1),(511,1),(514,1),(540,1),(541,1)}
       529:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       530:{4,7}:{(513,1),(541,1)}
       531:{2,5}:{(514,1),(539,1),(540,1)}
       532:{3,7}:{(515,1),(516,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(522,1),(524,1),(542,1),(543,1),(551,1)}
       534:{1,5,7}:{(517,1),(518,1),(523,1),(543,1)}
       535:{3,4,7}:{(520,1),(521,1),(525,1),(544,1),(551,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{2,5,6}:{(522,1),(523,1),(543,1),(545,1),(546,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(544,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{3,5}:{(528,1),(531,1),(547,1)}
       541:{4,6}:{(529,1),(530,1),(547,1)}
       542:{3,6,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{2,5,7}:{(533,1),(534,1),(537,1),(548,1)}
       544:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       545:{3,5,6}:{(536,1),(537,1),(548,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(549,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(545,1),(551,1)}
       549:{3,5}:{(544,1),(546,1),(552,1)}
       550:{4,6}:{(545,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 569 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(65,1),(107,1),(239,1),(307,1),(319,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(32,1),(44,1),(101,1),(148,1),(248,1),(352,1),(358,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(358,1),(370,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(75,1),(83,1),(99,1),(186,1),(294,1),(372,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(150,1),(155,1),(187,1),(193,1),(254,1),(265,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(24,1),(55,1),(65,1),(107,1),(199,1)}
         6:{3,4,6}:{(1,1),(14,1),(16,1),(398,1),(404,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(17,1),(18,1),(23,1),(51,1),(417,1)}
         8:{2,3,6}:{(2,1),(14,1),(18,1),(404,1),(416,1)}
         9:{2,4,7}:{(3,1),(17,1),(21,1),(22,1),(347,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(18,1),(22,1),(23,1),(49,1),(64,1),(113,1),(120,1),(123,1),(139,1),(145,1),(240,1),(244,1),(320,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(199,1),(306,1),(318,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(75,1),(372,1),(374,1)}
        13:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(43,1),(75,1),(87,1),(99,1),(158,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(29,1),(31,1)}
        15:{3,4,6,7}:{(6,1),(30,1),(32,1),(92,1),(101,1),(179,1)}
        16:{3,5,6}:{(6,1),(31,1),(32,1),(33,1),(248,1)}
        17:{2,5,7}:{(7,1),(9,1),(35,1),(42,1)}
        18:{1,3,6}:{(7,1),(8,1),(29,1),(35,1),(84,1),(454,1)}
        19:{2,3,6,7}:{(8,1),(30,1),(36,1),(38,1),(179,1),(284,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(31,1),(37,1),(38,1),(39,1),(91,1),(178,1),(187,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(186,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(158,1),(170,1),(371,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(17,1),(46,1),(47,1),(50,1),(109,1),(417,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(113,1),(120,1),(320,1),(322,1),(326,1)}
        28:{2,4,5,7}:{(13,1),(17,1),(51,1),(52,1),(59,1),(70,1),(126,1),(135,1),(138,1),(222,1),(224,1)}
        29:{1,4,6}:{(13,1),(14,1),(18,1),(52,1),(54,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(55,1),(65,1)}
        31:{2,5,6}:{(14,1),(16,1),(54,1),(55,1),(199,1)}
        32:{3,5,7}:{(15,1),(16,1),(55,1),(58,1)}
        33:{4,5,6}:{(16,1),(58,1),(301,1),(398,1)}
        34:{2,3,5,7}:{(17,1),(21,1),(46,1),(51,1),(59,1),(60,1),(69,1),(135,1)}
        35:{2,6}:{(17,1),(18,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(53,1),(61,1),(63,1),(124,1),(339,1)}
        37:{1,3,5,6}:{(18,1),(20,1),(23,1),(54,1),(62,1),(63,1),(64,1),(125,1),(139,1),(231,1),(240,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(55,1),(63,1),(65,1),(132,1),(230,1),(239,1)}
        39:{2,4,6}:{(20,1),(24,1),(64,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(59,1),(67,1),(68,1),(237,1),(242,1),(319,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(139,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(64,1),(70,1),(120,1),(222,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(306,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(34,1),(72,1),(75,1),(76,1),(81,1),(158,1)}
        47:{1,2,6}:{(25,1),(35,1),(76,1),(153,1),(454,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(75,1),(79,1),(80,1),(148,1),(268,1),(362,1),(372,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(158,1),(371,1)}
        51:{3,5,7}:{(28,1),(83,1),(84,1),(105,1),(170,1),(186,1)}
        52:{2,4,6}:{(28,1),(29,1),(35,1),(84,1),(86,1),(172,1)}
        53:{1,4,6,7}:{(29,1),(30,1),(36,1),(85,1),(87,1),(99,1)}
        54:{1,5,6}:{(29,1),(31,1),(86,1),(87,1),(158,1)}
        55:{2,5,7}:{(30,1),(31,1),(32,1),(87,1)}
        56:{2,4,5,6}:{(31,1),(33,1),(39,1),(88,1),(90,1),(91,1),(178,1),(252,1),(357,1),(386,1),(511,1),(540,1)}
        57:{3,5,6,7}:{(32,1),(89,1),(92,1),(179,1),(351,1),(514,1)}
        58:{4,5,7}:{(32,1),(33,1),(92,1)}
        59:{2,4,7}:{(34,1),(75,1),(83,1),(94,1),(104,1)}
        60:{2,3,6}:{(34,1),(35,1),(76,1),(84,1),(94,1)}
        61:{2,6,7}:{(35,1),(36,1),(97,1)}
        62:{2,5,6}:{(35,1),(37,1),(42,1),(97,1),(98,1),(295,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(87,1),(97,1),(99,1),(171,1),(186,1),(285,1),(294,1)}
        64:{1,4,6}:{(37,1),(39,1),(43,1),(98,1),(99,1),(172,1)}
        65:{2,4,7}:{(38,1),(39,1),(99,1),(101,1)}
        66:{3,4,6}:{(39,1),(44,1),(91,1),(101,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(93,1),(102,1),(103,1),(290,1),(370,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(94,1),(102,1),(103,1),(104,1),(185,1),(191,1),(258,1),(265,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(98,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(100,1),(105,1),(106,1),(166,1),(194,1),(263,1),(277,1),(382,1),(461,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(199,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,4,7}:{(46,1),(59,1),(107,1),(113,1),(120,1)}
        76:{1,3,6}:{(46,1),(47,1),(60,1),(108,1),(113,1)}
        77:{1,2,6,7}:{(47,1),(61,1),(114,1),(116,1),(202,1),(339,1),(416,1),(430,1),(484,1),(485,1),(524,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(62,1),(115,1),(116,1),(117,1),(203,1),(231,1),(318,1),(322,1),(338,1),(415,1),(416,1),(418,1),(478,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(112,1),(118,1),(119,1),(195,1),(417,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(113,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(320,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(209,1),(217,1),(245,1),(318,1),(325,1),(326,1),(411,1),(418,1),(425,1),(475,1),(487,1)}
        83:{3,4,7}:{(51,1),(59,1),(123,1),(145,1),(224,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,4,6,7}:{(52,1),(53,1),(61,1),(124,1),(126,1),(138,1),(224,1)}
        86:{2,5,6}:{(52,1),(54,1),(125,1),(126,1),(135,1)}
        87:{1,5,7}:{(53,1),(54,1),(55,1),(126,1)}
        88:{1,4,5,6}:{(54,1),(56,1),(64,1),(127,1),(129,1),(130,1),(209,1),(231,1),(316,1),(335,1),(488,1)}
        89:{2,5,6,7}:{(55,1),(57,1),(128,1),(131,1),(304,1),(492,1)}
        90:{2,4,5,7}:{(55,1),(56,1),(58,1),(65,1),(129,1),(131,1),(132,1),(230,1),(428,1),(492,1),(530,1)}
        91:{3,5,6}:{(56,1),(66,1),(132,1),(306,1),(404,1),(429,1)}
        92:{4,6,7}:{(57,1),(58,1),(398,1),(530,1)}
        93:{2,4,5,7}:{(59,1),(67,1),(112,1),(122,1),(133,1),(135,1),(144,1),(232,1),(242,1)}
        94:{2,4,6}:{(59,1),(60,1),(113,1),(123,1),(135,1)}
        95:{2,3,6,7}:{(60,1),(61,1),(114,1),(124,1),(134,1),(136,1),(342,1),(416,1),(524,1),(525,1),(543,1)}
        96:{2,3,5,6}:{(60,1),(62,1),(69,1),(115,1),(125,1),(135,1),(136,1),(137,1),(139,1),(213,1),(234,1),(236,1),(318,1),(342,1),(416,1),(478,1),(481,1),(519,1),(525,1),(544,1),(546,1)}
        97:{2,5,7}:{(61,1),(62,1),(63,1),(138,1),(347,1)}
        98:{2,4,6}:{(62,1),(64,1),(70,1),(138,1),(139,1)}
        99:{1,4,7}:{(63,1),(64,1),(65,1),(138,1),(224,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(71,1),(130,1),(139,1),(140,1),(141,1),(225,1),(240,1),(335,1),(429,1)}
       101:{3,4,7}:{(65,1),(66,1),(132,1),(530,1)}
       102:{2,3,6}:{(67,1),(118,1),(133,1),(342,1),(416,1)}
       103:{2,3,5}:{(68,1),(119,1),(135,1),(144,1),(236,1),(318,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(139,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(318,1)}
       107:{2,4,7}:{(72,1),(75,1),(148,1),(150,1),(155,1)}
       108:{2,3,6}:{(72,1),(76,1),(150,1),(153,1),(246,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,4,5,7}:{(75,1),(79,1),(93,1),(149,1),(156,1),(158,1),(165,1),(259,1),(268,1)}
       113:{1,4,6}:{(75,1),(76,1),(94,1),(150,1),(158,1)}
       114:{1,3,6,7}:{(76,1),(77,1),(95,1),(151,1),(157,1),(159,1),(369,1),(454,1),(509,1)}
       115:{1,3,5,6}:{(76,1),(78,1),(81,1),(96,1),(152,1),(158,1),(159,1),(160,1),(162,1),(261,1),(263,1),(267,1),(369,1),(371,1),(454,1),(456,1),(509,1),(539,1)}
       116:{1,2,5,7}:{(77,1),(78,1),(97,1),(159,1),(161,1),(255,1),(285,1),(370,1),(374,1),(388,1),(453,1),(505,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(98,1),(160,1),(161,1),(162,1),(189,1),(256,1),(265,1),(295,1),(376,1),(386,1),(451,1),(499,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(156,1),(246,1),(454,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(158,1),(165,1),(248,1),(257,1),(371,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(461,1),(503,1)}
       122:{3,4,5,7}:{(83,1),(93,1),(168,1),(170,1),(192,1),(273,1),(276,1),(290,1),(296,1)}
       123:{3,4,6}:{(83,1),(84,1),(94,1),(170,1),(172,1)}
       124:{3,6,7}:{(84,1),(85,1),(171,1),(186,1)}
       125:{3,5,6}:{(84,1),(86,1),(170,1),(171,1),(172,1)}
       126:{2,5,7}:{(85,1),(86,1),(87,1),(171,1)}
       127:{2,4,5,6}:{(86,1),(88,1),(98,1),(172,1),(174,1),(175,1),(178,1),(183,1),(280,1),(289,1),(379,1),(458,1)}
       128:{1,5,6,7}:{(87,1),(89,1),(173,1),(176,1),(261,1),(462,1)}
       129:{1,4,5,7}:{(87,1),(88,1),(90,1),(99,1),(174,1),(176,1),(177,1),(285,1),(385,1),(462,1)}
       130:{1,3,5,6}:{(88,1),(91,1),(100,1),(175,1),(177,1),(178,1),(263,1),(369,1)}
       131:{2,4,6,7}:{(89,1),(90,1),(92,1),(176,1),(179,1),(284,1),(357,1)}
       132:{3,5,7}:{(90,1),(91,1),(101,1),(179,1),(464,1)}
       133:{2,4,6}:{(93,1),(102,1),(156,1),(168,1),(181,1)}
       134:{2,4,6,7}:{(94,1),(95,1),(157,1),(169,1),(182,1),(184,1),(289,1),(538,1)}
       135:{2,5}:{(94,1),(158,1),(170,1)}
       136:{2,3,5,7}:{(95,1),(96,1),(97,1),(159,1),(171,1),(182,1),(184,1),(186,1),(266,1),(290,1),(370,1),(505,1),(534,1),(548,1)}
       137:{2,4,6}:{(96,1),(104,1),(160,1),(172,1),(183,1),(184,1),(185,1),(508,1),(549,1)}
       138:{2,4,7}:{(97,1),(98,1),(99,1),(186,1)}
       139:{3,6}:{(98,1),(105,1),(186,1)}
       140:{1,3,4,7}:{(99,1),(100,1),(101,1),(177,1),(186,1),(188,1),(279,1),(294,1),(385,1),(464,1)}
       141:{2,4,6}:{(100,1),(106,1),(178,1),(187,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(180,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(181,1),(190,1),(191,1),(288,1),(363,1),(368,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(187,1),(193,1),(194,1),(461,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(371,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(396,1)}
       149:{2,4,5,7}:{(107,1),(109,1),(112,1),(195,1),(197,1),(199,1),(204,1),(301,1),(302,1),(309,1),(396,1)}
       150:{2,4,6}:{(107,1),(108,1),(113,1),(196,1),(199,1)}
       151:{2,3,6,7}:{(108,1),(114,1),(198,1),(200,1),(202,1),(298,1),(404,1),(416,1),(430,1),(493,1),(494,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(115,1),(199,1),(200,1),(201,1),(203,1),(213,1),(299,1),(304,1),(306,1),(310,1),(318,1),(338,1),(404,1),(416,1),(429,1),(433,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6}:{(112,1),(118,1),(133,1),(197,1),(207,1)}
       157:{1,4,6,7}:{(113,1),(114,1),(134,1),(198,1),(208,1),(210,1),(316,1),(527,1)}
       158:{1,5}:{(113,1),(135,1),(199,1)}
       159:{1,3,5,7}:{(114,1),(115,1),(116,1),(136,1),(200,1),(208,1),(210,1),(212,1),(321,1),(417,1)}
       160:{1,4,6}:{(115,1),(120,1),(137,1),(201,1),(209,1),(210,1),(487,1)}
       161:{1,2,4,7}:{(116,1),(117,1),(138,1),(210,1),(212,1),(241,1),(309,1),(319,1),(347,1),(421,1),(428,1),(483,1),(518,1)}
       162:{1,3,6}:{(117,1),(121,1),(139,1),(212,1),(213,1),(310,1),(429,1),(519,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(206,1),(214,1),(298,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(207,1),(214,1),(215,1),(299,1),(310,1),(410,1),(415,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(491,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(318,1),(348,1),(411,1),(412,1)}
       168:{3,4,6}:{(122,1),(133,1),(220,1),(329,1),(342,1)}
       169:{3,4,6,7}:{(123,1),(124,1),(134,1),(221,1),(224,1),(237,1),(329,1),(342,1),(543,1),(545,1),(551,1)}
       170:{3,5}:{(123,1),(135,1),(222,1)}
       171:{3,5,7}:{(124,1),(125,1),(126,1),(224,1)}
       172:{4,6}:{(125,1),(222,1),(224,1)}
       173:{2,5,6,7}:{(126,1),(128,1),(223,1),(226,1),(234,1),(426,1)}
       174:{2,4,5,7}:{(126,1),(127,1),(129,1),(138,1),(224,1),(226,1),(227,1),(230,1),(332,1),(334,1),(426,1)}
       175:{3,5,6}:{(127,1),(139,1),(225,1),(227,1),(236,1),(342,1)}
       176:{1,4,6,7}:{(128,1),(129,1),(131,1),(226,1),(229,1),(316,1),(339,1)}
       177:{1,3,5,7}:{(129,1),(130,1),(132,1),(140,1),(227,1),(229,1),(230,1)}
       178:{2,5,6}:{(130,1),(141,1),(230,1),(231,1),(318,1),(416,1)}
       179:{3,6,7}:{(131,1),(132,1),(404,1)}
       180:{2,4,6,7}:{(133,1),(142,1),(206,1),(219,1),(232,1),(242,1)}
       181:{2,5,6}:{(133,1),(135,1),(207,1),(220,1),(232,1)}
       182:{2,5,7}:{(134,1),(135,1),(208,1),(221,1),(234,1),(546,1)}
       183:{2,4,5}:{(135,1),(137,1),(209,1),(222,1),(236,1),(318,1),(546,1),(552,1)}
       184:{2,4,7}:{(136,1),(137,1),(210,1),(224,1),(237,1),(551,1)}
       185:{3,4,6}:{(137,1),(139,1),(145,1),(236,1),(237,1),(342,1),(519,1),(523,1)}
       186:{3,7}:{(138,1),(139,1)}
       187:{2,3,6}:{(139,1),(141,1),(146,1),(239,1),(240,1),(429,1)}
       188:{2,4,7}:{(140,1),(141,1),(230,1),(239,1),(241,1),(347,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(240,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(232,1),(242,1),(341,1),(409,1),(414,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(236,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(491,1)}
       194:{1,3,5}:{(146,1),(147,1),(240,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(149,1),(246,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(150,1),(246,1),(248,1),(350,1)}
       197:{2,4,6}:{(149,1),(153,1),(156,1),(246,1),(250,1),(350,1)}
       198:{2,4,6,7}:{(150,1),(151,1),(157,1),(247,1),(251,1),(253,1),(357,1),(515,1)}
       199:{2,5}:{(150,1),(158,1),(248,1)}
       200:{2,3,5,7}:{(151,1),(152,1),(159,1),(251,1),(253,1),(255,1),(266,1),(349,1),(358,1),(362,1),(370,1),(388,1),(464,1),(514,1)}
       201:{2,4,6}:{(152,1),(155,1),(160,1),(252,1),(253,1),(254,1),(350,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,4,6,7}:{(156,1),(163,1),(180,1),(249,1),(259,1),(268,1)}
       207:{1,5,6}:{(156,1),(158,1),(181,1),(250,1),(259,1)}
       208:{1,5,7}:{(157,1),(158,1),(182,1),(251,1),(261,1),(539,1)}
       209:{1,4,5}:{(158,1),(160,1),(183,1),(252,1),(263,1),(371,1),(539,1)}
       210:{1,4,7}:{(159,1),(160,1),(184,1),(253,1)}
       211:{1,3,4,6}:{(160,1),(162,1),(166,1),(185,1),(254,1),(263,1),(264,1),(265,1),(369,1)}
       212:{1,3,7}:{(161,1),(162,1),(186,1),(266,1),(362,1),(464,1),(534,1)}
       213:{2,3,6}:{(162,1),(167,1),(265,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(259,1),(268,1),(349,1),(362,1),(450,1),(453,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(350,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(263,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(371,1),(377,1)}
       219:{3,4,6,7}:{(168,1),(180,1),(273,1),(296,1),(378,1),(389,1)}
       220:{3,5,6}:{(168,1),(170,1),(181,1),(273,1),(274,1)}
       221:{3,5,7}:{(169,1),(170,1),(182,1),(275,1),(276,1),(550,1)}
       222:{4,5}:{(170,1),(172,1)}
       223:{3,5,6,7}:{(171,1),(173,1),(275,1),(278,1),(281,1),(383,1)}
       224:{4,7}:{(171,1),(172,1)}
       225:{3,4,6}:{(172,1),(175,1),(277,1),(279,1),(280,1)}
       226:{2,4,6,7}:{(173,1),(174,1),(176,1),(278,1),(281,1),(284,1),(289,1)}
       227:{3,5,7}:{(174,1),(175,1),(186,1),(279,1),(281,1)}
       228:{2,3,5,6}:{(175,1),(178,1),(187,1),(280,1),(282,1),(283,1),(291,1),(390,1),(458,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(179,1),(281,1),(284,1),(369,1)}
       230:{2,5,7}:{(177,1),(178,1),(188,1),(284,1),(285,1)}
       231:{1,5,6}:{(178,1),(189,1),(285,1),(371,1),(454,1)}
       232:{2,5,7}:{(180,1),(181,1),(259,1),(273,1)}
       233:{2,4,5,6}:{(181,1),(183,1),(191,1),(260,1),(274,1),(287,1),(288,1),(289,1),(368,1),(499,1),(535,1),(549,1)}
       234:{2,5,6}:{(182,1),(261,1),(275,1),(289,1)}
       235:{2,4,5,7}:{(182,1),(183,1),(184,1),(262,1),(276,1),(289,1),(290,1),(370,1)}
       236:{3,5}:{(183,1),(185,1)}
       237:{3,4,7}:{(184,1),(185,1),(186,1),(290,1),(534,1)}
       238:{2,3,4,6}:{(185,1),(187,1),(193,1),(265,1),(280,1),(291,1),(292,1),(293,1),(390,1),(449,1),(508,1),(538,1)}
       239:{2,3,7}:{(186,1),(187,1),(188,1),(294,1),(464,1)}
       240:{1,3,6}:{(187,1),(189,1),(194,1),(294,1),(295,1)}
       241:{1,4,7}:{(188,1),(189,1),(285,1),(294,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(288,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,6}:{(195,1),(197,1)}
       247:{3,4,6,7}:{(196,1),(198,1),(298,1),(300,1),(307,1),(396,1),(398,1),(404,1),(493,1),(529,1),(530,1)}
       248:{3,5}:{(196,1),(199,1),(301,1)}
       249:{2,4,6,7}:{(197,1),(202,1),(206,1),(298,1),(302,1),(309,1),(396,1)}
       250:{2,5,6}:{(197,1),(199,1),(207,1),(299,1),(302,1)}
       251:{2,5,7}:{(198,1),(199,1),(208,1),(300,1),(304,1),(531,1)}
       252:{2,4,5}:{(199,1),(201,1),(209,1),(301,1),(306,1),(318,1),(531,1),(547,1)}
       253:{2,4,7}:{(200,1),(201,1),(210,1),(307,1),(396,1),(530,1)}
       254:{3,4,6}:{(201,1),(205,1),(306,1),(307,1),(310,1),(404,1),(429,1),(491,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,7}:{(206,1),(207,1),(232,1),(302,1)}
       260:{1,4,5,6}:{(207,1),(209,1),(215,1),(233,1),(303,1),(314,1),(315,1),(316,1),(415,1),(471,1),(520,1)}
       261:{1,5,6}:{(208,1),(234,1),(304,1),(316,1)}
       262:{1,4,5,7}:{(208,1),(209,1),(210,1),(235,1),(305,1),(316,1),(317,1),(417,1)}
       263:{1,3,5}:{(209,1),(211,1),(236,1),(306,1),(318,1)}
       264:{1,3,4,7}:{(210,1),(211,1),(212,1),(237,1),(307,1),(317,1),(319,1)}
       265:{2,4,6}:{(211,1),(213,1),(217,1),(318,1),(319,1),(320,1),(416,1)}
       266:{2,3,7}:{(212,1),(213,1),(319,1),(321,1),(347,1),(483,1)}
       267:{1,3,6}:{(213,1),(218,1),(320,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(396,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(315,1),(323,1),(324,1),(397,1),(410,1),(471,1),(519,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(318,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{3,5,7}:{(219,1),(220,1),(232,1),(328,1)}
       274:{4,5,6}:{(220,1),(222,1),(328,1),(329,1)}
       275:{3,5,6}:{(221,1),(234,1),(329,1),(342,1)}
       276:{4,5,7}:{(221,1),(222,1),(224,1),(329,1),(551,1),(552,1)}
       277:{3,4,5}:{(222,1),(225,1),(236,1),(331,1),(523,1)}
       278:{4,6,7}:{(223,1),(224,1),(329,1),(332,1)}
       279:{3,4,7}:{(224,1),(225,1),(227,1),(334,1)}
       280:{2,4,6}:{(225,1),(228,1),(331,1),(334,1),(335,1)}
       281:{3,6,7}:{(226,1),(227,1),(342,1)}
       282:{2,3,5,7}:{(227,1),(228,1),(230,1),(239,1),(334,1),(336,1),(337,1),(426,1)}
       283:{1,3,5,6}:{(228,1),(231,1),(240,1),(335,1),(337,1),(338,1),(344,1),(429,1),(431,1),(488,1),(528,1)}
       284:{2,6,7}:{(229,1),(230,1),(339,1),(416,1)}
       285:{1,5,7}:{(230,1),(231,1),(241,1),(339,1)}
       286:{2,5,6,7}:{(232,1),(234,1),(313,1),(327,1),(340,1),(542,1)}
       287:{2,4,5,7}:{(232,1),(233,1),(242,1),(314,1),(328,1),(340,1),(341,1),(414,1),(518,1),(542,1),(551,1)}
       288:{3,5,6}:{(233,1),(236,1),(243,1),(341,1),(342,1),(519,1)}
       289:{2,4,6}:{(234,1),(235,1),(316,1),(329,1),(342,1),(416,1)}
       290:{3,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5}:{(236,1),(238,1),(318,1),(331,1),(344,1),(546,1)}
       292:{2,3,4,7}:{(237,1),(238,1),(239,1),(319,1),(334,1),(343,1),(345,1),(482,1),(526,1)}
       293:{1,3,4,6}:{(238,1),(240,1),(244,1),(320,1),(335,1),(344,1),(345,1),(346,1),(420,1),(429,1),(431,1),(487,1),(491,1),(527,1),(529,1)}
       294:{1,3,7}:{(239,1),(240,1),(241,1),(347,1)}
       295:{2,6}:{(240,1),(245,1),(347,1)}
       296:{3,4,7}:{(242,1),(243,1),(341,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,6,7}:{(246,1),(249,1),(349,1),(362,1)}
       299:{3,5,6}:{(246,1),(248,1),(250,1),(349,1),(350,1)}
       300:{3,5,7}:{(247,1),(248,1),(251,1),(351,1),(352,1),(541,1)}
       301:{4,5}:{(248,1),(350,1)}
       302:{2,5,7}:{(249,1),(250,1),(259,1),(349,1)}
       303:{2,4,5,6}:{(250,1),(252,1),(256,1),(260,1),(350,1),(355,1),(356,1),(357,1),(368,1),(437,1),(438,1),(500,1)}
       304:{2,5,6}:{(251,1),(261,1),(351,1),(357,1)}
       305:{2,4,5,7}:{(251,1),(252,1),(253,1),(262,1),(352,1),(357,1),(358,1),(370,1)}
       306:{3,5}:{(252,1),(254,1)}
       307:{3,4,7}:{(253,1),(254,1),(358,1),(362,1),(464,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(265,1),(359,1),(360,1),(361,1),(363,1),(394,1),(437,1),(445,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(261,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,5,7}:{(259,1),(260,1),(268,1),(287,1),(355,1),(366,1),(367,1),(453,1),(498,1),(532,1)}
       315:{1,3,5,6}:{(260,1),(263,1),(269,1),(288,1),(356,1),(367,1),(368,1),(369,1)}
       316:{1,4,6}:{(261,1),(262,1),(289,1),(357,1),(369,1),(454,1)}
       317:{1,3,5,7}:{(262,1),(263,1),(264,1),(290,1),(358,1),(369,1),(370,1)}
       318:{2,5}:{(263,1),(265,1),(371,1)}
       319:{2,4,7}:{(264,1),(265,1),(266,1),(370,1),(372,1)}
       320:{1,4,6}:{(265,1),(267,1),(271,1),(371,1),(372,1),(454,1)}
       321:{1,3,7}:{(266,1),(267,1),(372,1),(374,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(374,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(367,1),(375,1),(436,1),(450,1),(498,1),(534,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(368,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(371,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{3,5,6,7}:{(273,1),(275,1),(286,1),(378,1),(389,1),(548,1)}
       328:{4,5,7}:{(273,1),(274,1),(378,1)}
       329:{4,6}:{(275,1),(276,1)}
       330:{3,4,5,7}:{(276,1),(277,1),(279,1),(290,1),(380,1),(381,1),(383,1),(537,1),(550,1)}
       331:{2,4,5}:{(277,1),(280,1),(291,1),(382,1),(508,1)}
       332:{4,5,7}:{(278,1),(379,1),(383,1)}
       333:{3,4,6,7}:{(278,1),(279,1),(281,1),(380,1),(383,1),(384,1)}
       334:{2,4,7}:{(279,1),(280,1),(282,1),(385,1)}
       335:{1,4,6}:{(280,1),(283,1),(382,1),(385,1),(386,1),(540,1)}
       336:{2,3,6,7}:{(281,1),(282,1),(284,1),(384,1),(387,1),(390,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(385,1),(387,1),(388,1),(462,1),(464,1),(514,1)}
       338:{2,5,6}:{(283,1),(295,1),(386,1),(388,1),(392,1),(465,1)}
       339:{1,6,7}:{(284,1),(285,1),(454,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(289,1),(366,1),(378,1),(389,1),(452,1)}
       341:{3,5,7}:{(287,1),(288,1),(296,1),(389,1),(534,1)}
       342:{3,6}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(370,1),(381,1),(390,1),(391,1)}
       344:{1,3,5}:{(291,1),(293,1),(371,1),(382,1),(392,1),(461,1),(539,1),(541,1)}
       345:{1,3,4,7}:{(292,1),(293,1),(294,1),(372,1),(385,1),(391,1),(393,1),(457,1),(464,1),(510,1),(513,1)}
       346:{2,4,6}:{(293,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       347:{2,7}:{(294,1),(295,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,7}:{(298,1),(299,1),(302,1),(396,1)}
       350:{4,6}:{(299,1),(301,1),(396,1)}
       351:{3,5,6}:{(300,1),(304,1),(398,1),(404,1)}
       352:{4,5,7}:{(300,1),(301,1),(396,1),(398,1),(530,1),(547,1)}
       353:{3,4,5}:{(301,1),(306,1),(397,1),(400,1),(491,1)}
       354:{2,5,6,7}:{(302,1),(304,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,5,7}:{(302,1),(303,1),(309,1),(314,1),(396,1),(401,1),(402,1),(414,1),(468,1),(470,1),(516,1)}
       356:{3,5,6}:{(303,1),(306,1),(310,1),(397,1),(402,1),(404,1)}
       357:{2,4,6}:{(304,1),(305,1),(316,1),(398,1),(404,1),(416,1)}
       358:{3,5,7}:{(305,1),(306,1),(307,1),(404,1)}
       359:{2,3,5}:{(306,1),(308,1),(318,1),(400,1),(406,1),(531,1)}
       360:{2,3,4,7}:{(307,1),(308,1),(319,1),(405,1),(407,1),(409,1),(434,1),(470,1),(495,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(320,1),(406,1),(407,1),(408,1),(410,1),(420,1),(471,1),(479,1),(487,1),(519,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(519,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(316,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,5,7}:{(314,1),(315,1),(323,1),(341,1),(402,1),(413,1),(414,1)}
       368:{2,5,6}:{(315,1),(318,1),(324,1),(414,1),(415,1),(416,1)}
       369:{1,3,6}:{(316,1),(317,1),(342,1),(404,1),(416,1)}
       370:{2,5,7}:{(317,1),(318,1),(319,1),(416,1),(417,1)}
       371:{1,5}:{(318,1),(320,1)}
       372:{1,4,7}:{(319,1),(320,1),(321,1),(417,1)}
       373:{1,2,4,6}:{(320,1),(322,1),(326,1),(346,1),(408,1),(418,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       374:{1,2,7}:{(321,1),(322,1),(347,1),(483,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(414,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(415,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,6,7}:{(327,1),(328,1),(329,1),(551,1)}
       379:{4,5,6}:{(329,1),(332,1),(422,1),(552,1)}
       380:{3,4,6}:{(329,1),(330,1),(342,1),(422,1),(423,1)}
       381:{2,4,5,7}:{(330,1),(331,1),(334,1),(343,1),(423,1),(424,1),(426,1),(526,1),(546,1)}
       382:{1,4,5}:{(331,1),(335,1),(344,1),(425,1),(487,1),(547,1)}
       383:{3,5,7}:{(332,1),(333,1),(422,1),(426,1)}
       384:{2,4,6,7}:{(333,1),(334,1),(336,1),(423,1),(426,1),(427,1)}
       385:{1,4,7}:{(334,1),(335,1),(337,1),(428,1),(530,1)}
       386:{2,4,6}:{(335,1),(338,1),(425,1),(428,1),(429,1)}
       387:{1,3,6,7}:{(336,1),(337,1),(339,1),(427,1),(430,1),(431,1),(493,1)}
       388:{2,5,7}:{(337,1),(338,1),(347,1),(428,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(342,1)}
       390:{2,3,6}:{(342,1),(343,1),(416,1),(423,1),(431,1)}
       391:{1,3,5,7}:{(343,1),(344,1),(345,1),(417,1),(424,1),(431,1),(432,1),(490,1)}
       392:{2,5}:{(344,1),(346,1)}
       393:{2,4,7}:{(345,1),(346,1),(347,1),(432,1),(434,1)}
       394:{2,3,6}:{(346,1),(348,1),(420,1),(429,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(435,1),(442,1),(496,1)}
       396:{4,7}:{(349,1),(350,1)}
       397:{3,4,6}:{(350,1),(353,1),(356,1),(436,1),(437,1)}
       398:{4,6}:{(351,1),(352,1)}
       399:{3,4,5,7}:{(352,1),(353,1),(358,1),(436,1),(439,1),(440,1),(496,1),(513,1),(541,1)}
       400:{2,4,5}:{(353,1),(359,1),(437,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(357,1),(366,1),(435,1),(442,1),(452,1)}
       402:{3,5,7}:{(355,1),(356,1),(362,1),(436,1),(442,1)}
       403:{2,3,5,6}:{(356,1),(359,1),(363,1),(368,1),(437,1),(443,1),(444,1),(445,1),(500,1)}
       404:{3,6}:{(357,1),(358,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(360,1),(370,1),(440,1),(445,1),(446,1)}
       406:{1,3,5}:{(359,1),(361,1),(371,1),(441,1),(447,1),(503,1),(539,1),(550,1)}
       407:{1,3,4,7}:{(360,1),(361,1),(372,1),(446,1),(448,1),(450,1),(457,1),(498,1),(510,1),(534,1),(537,1)}
       408:{2,4,6}:{(361,1),(365,1),(447,1),(448,1),(449,1),(451,1),(506,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(534,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(369,1),(389,1),(442,1),(452,1)}
       414:{2,5,7}:{(367,1),(368,1),(375,1),(452,1),(453,1)}
       415:{1,5,6}:{(368,1),(371,1),(376,1),(453,1),(454,1)}
       416:{2,6}:{(369,1),(370,1),(454,1)}
       417:{1,5,7}:{(370,1),(371,1),(372,1),(454,1)}
       418:{1,2,5}:{(371,1),(373,1),(392,1),(447,1),(456,1),(539,1)}
       419:{1,2,4,7}:{(372,1),(373,1),(374,1),(393,1),(448,1),(455,1),(457,1),(510,1)}
       420:{1,3,6}:{(373,1),(377,1),(394,1),(449,1),(456,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(453,1)}
       422:{3,5,6}:{(379,1),(380,1),(383,1),(458,1),(550,1)}
       423:{2,4,6}:{(380,1),(381,1),(390,1),(458,1),(459,1)}
       424:{1,4,5,7}:{(381,1),(382,1),(385,1),(391,1),(459,1),(460,1),(462,1),(510,1),(539,1)}
       425:{2,4,5}:{(382,1),(386,1),(392,1),(461,1),(467,1)}
       426:{2,5,7}:{(383,1),(384,1),(458,1),(462,1)}
       427:{1,4,6,7}:{(384,1),(385,1),(387,1),(459,1),(462,1),(463,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(464,1)}
       429:{3,6}:{(386,1),(461,1),(464,1)}
       430:{2,6,7}:{(387,1),(388,1),(465,1)}
       431:{1,3,6}:{(390,1),(391,1),(454,1),(459,1),(465,1),(512,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,5}:{(392,1),(394,1),(456,1),(461,1),(467,1)}
       434:{2,3,7}:{(393,1),(394,1),(457,1),(464,1)}
       435:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       436:{3,4,7}:{(396,1),(397,1),(402,1),(470,1)}
       437:{2,4,6}:{(397,1),(400,1),(403,1),(470,1),(471,1)}
       438:{4,5,6}:{(398,1),(468,1),(472,1),(547,1)}
       439:{3,4,6}:{(398,1),(399,1),(404,1),(472,1),(473,1)}
       440:{2,4,5,7}:{(399,1),(400,1),(405,1),(470,1),(473,1),(474,1),(495,1),(516,1),(531,1)}
       441:{1,4,5}:{(400,1),(406,1),(471,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(404,1)}
       443:{2,3,5,7}:{(402,1),(403,1),(409,1),(414,1),(470,1),(476,1),(477,1),(516,1)}
       444:{1,3,5,6}:{(403,1),(406,1),(410,1),(415,1),(471,1),(477,1),(478,1),(479,1),(519,1),(520,1),(544,1)}
       445:{2,3,6}:{(404,1),(405,1),(416,1),(473,1),(479,1)}
       446:{1,3,5,7}:{(405,1),(406,1),(407,1),(417,1),(474,1),(479,1),(480,1),(522,1)}
       447:{2,5}:{(406,1),(408,1)}
       448:{2,4,7}:{(407,1),(408,1),(480,1),(482,1),(483,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(481,1),(482,1),(519,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(416,1),(484,1)}
       453:{1,5,7}:{(414,1),(415,1),(421,1),(484,1)}
       454:{1,6}:{(416,1),(417,1)}
       455:{1,2,5,7}:{(417,1),(418,1),(419,1),(432,1),(480,1),(485,1),(486,1)}
       456:{1,3,5}:{(418,1),(420,1),(433,1),(481,1),(487,1)}
       457:{1,3,7}:{(419,1),(420,1),(434,1),(482,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,4,6}:{(423,1),(424,1),(431,1),(488,1),(489,1)}
       460:{2,4,5,7}:{(424,1),(425,1),(428,1),(432,1),(489,1),(490,1),(492,1),(495,1),(530,1),(531,1),(547,1)}
       461:{3,5}:{(425,1),(429,1),(491,1)}
       462:{1,5,7}:{(426,1),(427,1),(488,1),(492,1)}
       463:{2,4,6,7}:{(427,1),(428,1),(430,1),(489,1),(492,1),(493,1),(530,1)}
       464:{3,7}:{(428,1),(429,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(490,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(433,1),(487,1),(491,1)}
       468:{4,5,7}:{(435,1),(438,1),(496,1)}
       469:{3,4,6,7}:{(435,1),(436,1),(439,1),(442,1),(496,1),(497,1)}
       470:{2,4,7}:{(436,1),(437,1),(443,1),(498,1)}
       471:{1,4,6}:{(437,1),(441,1),(444,1),(498,1),(499,1),(549,1)}
       472:{3,5,6}:{(438,1),(439,1),(496,1),(500,1),(541,1)}
       473:{2,4,6}:{(439,1),(440,1),(445,1),(500,1),(501,1)}
       474:{1,4,5,7}:{(440,1),(441,1),(446,1),(498,1),(501,1),(502,1),(510,1),(532,1),(539,1)}
       475:{2,4,5}:{(441,1),(447,1),(499,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(445,1),(452,1),(497,1),(504,1)}
       477:{1,3,5,7}:{(443,1),(444,1),(450,1),(453,1),(498,1),(504,1),(505,1),(532,1),(534,1),(548,1)}
       478:{2,5,6}:{(444,1),(447,1),(451,1),(499,1),(505,1),(506,1)}
       479:{1,3,6}:{(445,1),(446,1),(454,1),(501,1),(506,1),(536,1)}
       480:{2,5,7}:{(446,1),(447,1),(448,1),(506,1)}
       481:{2,3,5}:{(447,1),(449,1),(456,1),(503,1),(508,1)}
       482:{2,3,7}:{(448,1),(449,1),(457,1),(534,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(454,1)}
       485:{1,2,6}:{(454,1),(455,1),(465,1),(506,1),(509,1)}
       486:{1,3,5,7}:{(455,1),(456,1),(457,1),(466,1),(507,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(456,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(462,1),(511,1),(539,1)}
       489:{2,4,6}:{(459,1),(460,1),(465,1),(511,1),(512,1),(540,1)}
       490:{3,5,7}:{(460,1),(461,1),(464,1),(512,1),(513,1),(541,1)}
       491:{3,4}:{(461,1),(467,1)}
       492:{2,5,7}:{(462,1),(463,1),(511,1),(514,1)}
       493:{3,6,7}:{(463,1),(464,1),(512,1),(514,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(512,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(513,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(472,1),(516,1)}
       497:{2,4,6,7}:{(469,1),(470,1),(473,1),(476,1),(516,1),(517,1)}
       498:{1,4,7}:{(470,1),(471,1),(477,1),(518,1),(551,1)}
       499:{2,4,6}:{(471,1),(475,1),(478,1),(518,1),(519,1)}
       500:{2,5,6}:{(472,1),(473,1),(516,1),(520,1),(531,1)}
       501:{1,4,6}:{(473,1),(474,1),(479,1),(520,1),(521,1)}
       502:{2,4,5,7}:{(474,1),(475,1),(480,1),(518,1),(521,1),(522,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       503:{3,5}:{(475,1),(519,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(479,1),(484,1),(517,1),(524,1),(543,1)}
       505:{2,5,7}:{(477,1),(478,1),(483,1),(518,1),(524,1)}
       506:{2,6}:{(479,1),(480,1)}
       507:{2,3,5,7}:{(480,1),(481,1),(482,1),(486,1),(522,1),(525,1),(526,1),(546,1)}
       508:{2,4}:{(481,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(492,1),(528,1),(531,1)}
       512:{3,6}:{(489,1),(490,1)}
       513:{3,4,7}:{(490,1),(491,1),(495,1),(529,1),(530,1)}
       514:{3,5,7}:{(492,1),(493,1),(528,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(529,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(500,1),(532,1)}
       517:{1,4,6,7}:{(497,1),(498,1),(501,1),(504,1),(532,1),(533,1)}
       518:{2,4,7}:{(498,1),(499,1),(505,1),(534,1)}
       519:{3,6}:{(499,1),(503,1),(534,1)}
       520:{1,5,6}:{(500,1),(501,1),(532,1),(535,1),(539,1)}
       521:{2,4,6}:{(501,1),(502,1),(506,1),(535,1),(536,1),(549,1)}
       522:{3,5,7}:{(502,1),(503,1),(534,1),(536,1),(537,1),(550,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(506,1)}
       525:{2,3,6}:{(506,1),(507,1),(509,1),(536,1),(538,1)}
       526:{2,4,7}:{(507,1),(508,1),(510,1),(537,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(514,1),(540,1),(541,1)}
       529:{3,4,6}:{(512,1),(513,1),(515,1),(540,1),(541,1)}
       530:{4,7}:{(514,1),(540,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(520,1),(542,1)}
       533:{2,4,6,7}:{(517,1),(518,1),(521,1),(524,1),(542,1),(543,1),(551,1)}
       534:{3,7}:{(518,1),(519,1)}
       535:{2,5,6}:{(520,1),(521,1),(542,1),(544,1),(546,1)}
       536:{3,6}:{(521,1),(522,1)}
       537:{3,4,7}:{(522,1),(523,1),(526,1),(545,1),(551,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(530,1),(547,1)}
       541:{3,5}:{(529,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(535,1),(548,1)}
       543:{3,6,7}:{(533,1),(534,1),(536,1),(548,1)}
       544:{3,5,6}:{(535,1),(536,1),(548,1),(549,1),(550,1)}
       545:{3,4,6}:{(536,1),(537,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 570 :   0:{2,3,4}:{(2,1),(3,1),(32,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(115,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(21,1),(51,1),(58,1)}
         4:{4,5,6}:{(11,1),(12,1),(129,1),(148,1)}
         5:{3,4,6}:{(1,1),(11,1),(13,1),(14,1)}
         6:{2,4,5}:{(1,1),(2,1),(13,1),(15,1),(64,1),(100,1)}
         7:{2,3,6}:{(2,1),(13,1),(16,1),(17,1)}
         8:{1,3,5}:{(2,1),(3,1),(15,1),(16,1),(18,1),(42,1)}
         9:{2,4}:{(3,1),(18,1),(19,1)}
        10:{1,2,4}:{(9,1),(20,1),(21,1),(48,1),(51,1)}
        11:{3,5,6}:{(4,1),(5,1),(22,1),(23,1),(115,1),(143,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{2,4,6}:{(5,1),(6,1),(7,1),(22,1),(25,1),(26,1)}
        14:{3,4,7}:{(5,1),(23,1),(26,1)}
        15:{1,4,5}:{(6,1),(8,1),(25,1),(27,1),(51,1),(85,1)}
        16:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(56,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{2,5}:{(8,1),(9,1),(28,1)}
        19:{2,3}:{(9,1),(21,1)}
        20:{1,2,5}:{(10,1),(18,1),(33,1),(34,1),(65,1)}
        21:{1,3}:{(10,1),(19,1),(32,1)}
        22:{2,5,6}:{(11,1),(13,1),(36,1),(37,1),(100,1),(134,1)}
        23:{3,5,7}:{(11,1),(12,1),(14,1),(37,1),(38,1)}
        24:{4,6,7}:{(12,1),(38,1),(39,1),(148,1)}
        25:{1,4,6}:{(13,1),(15,1),(16,1),(36,1),(40,1),(41,1)}
        26:{2,4,7}:{(13,1),(14,1),(17,1),(37,1),(41,1)}
        27:{2,4,5}:{(15,1),(18,1),(40,1),(42,1),(45,1),(76,1),(107,1)}
        28:{2,6}:{(16,1),(18,1),(44,1)}
        29:{1,3,7}:{(16,1),(17,1),(41,1),(44,1),(74,1)}
        30:{2,3,5}:{(18,1),(19,1),(34,1),(42,1),(43,1),(45,1),(76,1)}
        31:{2,3,4}:{(19,1),(35,1),(45,1),(46,1)}
        32:{2,3}:{(21,1),(48,1)}
        33:{1,2,6}:{(20,1),(28,1),(49,1),(50,1),(84,1)}
        34:{1,3,5}:{(20,1),(21,1),(30,1),(47,1),(49,1),(51,1),(85,1)}
        35:{1,3,4}:{(21,1),(31,1),(48,1),(51,1),(52,1),(80,1)}
        36:{1,5,6}:{(22,1),(25,1),(53,1),(54,1),(85,1),(122,1)}
        37:{2,5,7}:{(22,1),(23,1),(26,1),(54,1),(55,1)}
        38:{3,6,7}:{(23,1),(24,1),(55,1),(143,1)}
        39:{5,6,7}:{(24,1),(152,1)}
        40:{2,4,6}:{(25,1),(27,1),(28,1),(53,1),(56,1),(57,1),(89,1)}
        41:{1,4,7}:{(25,1),(26,1),(29,1),(54,1),(57,1)}
        42:{3,5}:{(27,1),(56,1),(58,1)}
        43:{2,3,6}:{(28,1),(30,1),(49,1),(56,1),(59,1),(60,1)}
        44:{2,7}:{(28,1),(29,1)}
        45:{2,4}:{(30,1),(51,1),(58,1)}
        46:{2,3,5}:{(31,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(32,1),(34,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{2,4}:{(32,1),(35,1),(65,1)}
        49:{1,3,6}:{(33,1),(34,1),(43,1),(63,1),(66,1),(67,1)}
        50:{1,2,7}:{(33,1),(44,1),(67,1),(103,1)}
        51:{1,4}:{(34,1),(45,1),(64,1)}
        52:{1,3,5}:{(35,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,5,6}:{(36,1),(40,1),(70,1),(71,1),(76,1),(114,1)}
        54:{1,5,7}:{(36,1),(37,1),(41,1),(71,1),(72,1)}
        55:{2,6,7}:{(37,1),(38,1),(72,1),(134,1)}
        56:{3,6}:{(40,1),(42,1),(74,1)}
        57:{2,4,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(108,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,4,6}:{(43,1),(45,1),(66,1),(73,1),(76,1),(77,1),(114,1)}
        60:{2,3,7}:{(43,1),(44,1),(67,1),(74,1),(77,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(76,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(49,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,4,6}:{(49,1),(51,1),(59,1),(81,1),(85,1),(86,1),(122,1)}
        67:{1,3,7}:{(49,1),(50,1),(60,1),(82,1),(86,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(85,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{3,5,6}:{(53,1),(56,1),(89,1),(90,1),(92,1),(127,1),(146,1)}
        71:{2,5,7}:{(53,1),(54,1),(57,1),(90,1),(91,1)}
        72:{1,6,7}:{(54,1),(55,1),(91,1),(122,1)}
        73:{3,4,6}:{(56,1),(58,1),(59,1),(89,1),(92,1),(93,1),(127,1)}
        74:{3,7}:{(56,1),(57,1)}
        75:{3,4,5}:{(58,1),(61,1),(92,1),(94,1)}
        76:{2,5}:{(59,1),(85,1),(92,1)}
        77:{2,4,7}:{(59,1),(60,1),(86,1),(93,1),(96,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(95,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,4,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(101,1),(134,1)}
        82:{2,3,7}:{(63,1),(67,1),(101,1),(103,1),(132,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(100,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,5}:{(66,1),(76,1),(100,1)}
        86:{1,4,7}:{(66,1),(67,1),(77,1),(101,1),(105,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(104,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{4,6}:{(70,1),(107,1),(108,1)}
        90:{3,5,7}:{(70,1),(71,1),(74,1),(108,1),(109,1),(138,1)}
        91:{2,6,7}:{(71,1),(72,1),(109,1),(114,1)}
        92:{3,5}:{(73,1),(76,1),(107,1)}
        93:{3,4,7}:{(73,1),(74,1),(77,1),(108,1),(111,1)}
        94:{3,4,6}:{(75,1),(78,1),(110,1),(112,1)}
        95:{2,5,6}:{(76,1),(78,1),(104,1),(110,1),(113,1),(114,1)}
        96:{2,5,7}:{(76,1),(77,1),(105,1),(111,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(113,1)}
        98:{3,4,6}:{(80,1),(81,1),(115,1),(116,1),(117,1),(140,1),(143,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,5}:{(81,1),(85,1),(115,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(116,1),(119,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(118,1),(120,1),(140,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,6}:{(85,1),(87,1),(95,1),(118,1),(121,1),(122,1)}
       105:{1,5,7}:{(85,1),(86,1),(96,1),(119,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(121,1)}
       107:{4,5}:{(89,1),(92,1)}
       108:{4,7}:{(89,1),(90,1)}
       109:{3,6,7}:{(90,1),(91,1),(125,1),(127,1)}
       110:{3,5,6}:{(92,1),(94,1),(95,1),(123,1),(126,1),(127,1)}
       111:{3,5,7}:{(92,1),(93,1),(96,1),(124,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(126,1)}
       113:{2,5,7}:{(95,1),(97,1),(121,1),(126,1),(128,1)}
       114:{2,6}:{(96,1),(122,1),(127,1)}
       115:{3,5}:{(98,1),(100,1),(129,1)}
       116:{3,4,7}:{(98,1),(101,1),(131,1),(132,1),(147,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,6}:{(100,1),(102,1),(104,1),(130,1),(133,1),(134,1)}
       119:{2,5,7}:{(100,1),(101,1),(105,1),(131,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1),(147,1)}
       121:{1,5,7}:{(104,1),(106,1),(113,1),(133,1),(135,1)}
       122:{1,6}:{(105,1),(114,1),(134,1)}
       123:{4,5,6}:{(107,1),(110,1),(136,1),(137,1)}
       124:{4,5,7}:{(107,1),(108,1),(111,1),(137,1),(138,1)}
       125:{4,6,7}:{(108,1),(109,1),(137,1),(138,1)}
       126:{3,5,7}:{(110,1),(112,1),(113,1),(136,1),(139,1)}
       127:{3,6}:{(111,1),(114,1),(137,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(115,1),(140,1)}
       130:{3,5,6}:{(115,1),(117,1),(118,1),(140,1),(142,1),(143,1),(152,1)}
       131:{3,5,7}:{(115,1),(116,1),(119,1),(141,1),(143,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,5,7}:{(118,1),(120,1),(121,1),(142,1),(144,1)}
       134:{2,6}:{(119,1),(122,1),(143,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{4,5,7}:{(123,1),(126,1),(145,1)}
       137:{4,6}:{(124,1),(127,1),(146,1)}
       138:{5,7}:{(125,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(145,1)}
       140:{4,6}:{(129,1),(130,1),(147,1)}
       141:{4,5,7}:{(129,1),(131,1),(147,1),(148,1),(153,1)}
       142:{3,5,7}:{(130,1),(132,1),(133,1),(147,1),(149,1),(153,1)}
       143:{3,6}:{(131,1),(134,1),(148,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{4,6,7}:{(136,1),(137,1),(139,1),(150,1)}
       146:{5,6}:{(137,1),(138,1)}
       147:{4,7}:{(140,1),(142,1)}
       148:{4,6}:{(141,1),(143,1),(152,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(151,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{5,6}:{(148,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 571 :   0:{3,4,5,7}:{(1,1),(2,1),(17,1),(62,1),(106,1),(173,1),(274,1),(372,1),(378,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(30,1),(38,1),(71,1),(130,1),(225,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(414,1),(420,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(71,1),(84,1),(130,1),(243,1),(331,1),(339,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(378,1),(386,1)}
         5:{1,4,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(61,1),(94,1),(104,1),(180,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(16,1)}
         7:{3,4,6,7}:{(2,1),(15,1),(17,1),(55,1),(106,1),(118,1)}
         8:{3,5,6}:{(2,1),(16,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(46,1),(56,1),(94,1),(104,1),(191,1),(298,1),(388,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(175,1),(192,1),(210,1),(219,1),(280,1),(287,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(9,1),(22,1),(23,1),(26,1),(37,1),(429,1)}
        12:{2,3,6}:{(4,1),(6,1),(23,1),(420,1),(428,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(26,1),(27,1),(65,1),(77,1),(91,1),(140,1),(143,1),(150,1),(152,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(27,1),(29,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(28,1),(30,1),(71,1)}
        16:{2,5,6}:{(6,1),(8,1),(29,1),(30,1),(225,1)}
        17:{3,5,7}:{(7,1),(8,1),(30,1),(33,1)}
        18:{4,5,6}:{(8,1),(33,1),(325,1),(414,1)}
        19:{2,4,7}:{(9,1),(22,1),(35,1),(36,1),(350,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(23,1),(36,1),(37,1),(70,1),(74,1),(86,1),(133,1),(144,1),(165,1),(170,1),(244,1),(270,1),(340,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(225,1),(330,1),(338,1)}
        22:{2,5,7}:{(11,1),(19,1),(41,1),(60,1)}
        23:{1,3,6}:{(11,1),(12,1),(14,1),(41,1),(47,1),(465,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(42,1),(44,1),(118,1),(206,1)}
        25:{2,3,5,6}:{(12,1),(16,1),(21,1),(43,1),(44,1),(45,1),(54,1),(117,1),(192,1)}
        26:{3,5,7}:{(13,1),(46,1),(47,1),(109,1),(128,1),(191,1)}
        27:{2,4,6}:{(13,1),(14,1),(41,1),(47,1),(49,1),(111,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(42,1),(48,1),(50,1),(104,1)}
        29:{1,5,6}:{(14,1),(16,1),(49,1),(50,1),(180,1)}
        30:{2,5,7}:{(15,1),(16,1),(17,1),(50,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(45,1),(51,1),(53,1),(54,1),(117,1),(278,1),(308,1),(377,1),(472,1),(519,1)}
        32:{3,5,6,7}:{(17,1),(52,1),(55,1),(118,1),(371,1),(475,1)}
        33:{4,5,7}:{(17,1),(18,1),(55,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(94,1),(119,1),(388,1),(390,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(191,1)}
        36:{2,4,6}:{(19,1),(20,1),(41,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(109,1),(128,1),(180,1),(387,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(22,1),(34,1),(63,1),(64,1),(87,1),(160,1),(429,1)}
        40:{2,3,5,7}:{(22,1),(26,1),(35,1),(63,1),(65,1),(66,1),(90,1),(140,1)}
        41:{2,6}:{(22,1),(23,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(28,1),(67,1),(69,1),(75,1),(258,1)}
        43:{1,3,5,6}:{(23,1),(25,1),(29,1),(37,1),(68,1),(69,1),(70,1),(76,1),(144,1),(159,1),(244,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(30,1),(69,1),(71,1),(83,1),(158,1),(243,1)}
        45:{2,4,6}:{(25,1),(38,1),(70,1),(71,1),(72,1)}
        46:{3,4,7}:{(26,1),(65,1),(74,1),(152,1),(170,1)}
        47:{3,6}:{(26,1),(27,1)}
        48:{2,4,6,7}:{(27,1),(28,1),(67,1),(75,1),(77,1),(143,1),(152,1)}
        49:{2,5,6}:{(27,1),(29,1),(76,1),(77,1),(140,1)}
        50:{1,5,7}:{(28,1),(29,1),(30,1),(77,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(70,1),(78,1),(80,1),(81,1),(159,1),(231,1),(254,1),(336,1),(437,1)}
        52:{2,5,6,7}:{(30,1),(32,1),(79,1),(82,1),(328,1),(441,1)}
        53:{2,4,5,7}:{(30,1),(31,1),(33,1),(71,1),(80,1),(82,1),(83,1),(158,1),(357,1),(441,1),(501,1)}
        54:{3,5,6}:{(31,1),(72,1),(83,1),(330,1),(358,1),(420,1)}
        55:{4,6,7}:{(32,1),(33,1),(414,1),(501,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(133,1),(161,1),(165,1),(340,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(65,1),(85,1),(88,1),(89,1),(241,1),(268,1),(339,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(144,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(70,1),(91,1),(150,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(330,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(56,1),(93,1),(94,1),(95,1),(123,1),(180,1)}
        64:{1,2,6}:{(39,1),(41,1),(95,1),(208,1),(465,1)}
        65:{2,4,7}:{(40,1),(46,1),(94,1),(99,1),(127,1)}
        66:{2,3,6}:{(40,1),(41,1),(47,1),(95,1),(99,1)}
        67:{2,6,7}:{(41,1),(42,1),(102,1)}
        68:{2,5,6}:{(41,1),(43,1),(60,1),(102,1),(103,1),(299,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(102,1),(104,1),(110,1),(191,1),(207,1),(298,1)}
        70:{1,4,6}:{(43,1),(45,1),(61,1),(103,1),(104,1),(111,1)}
        71:{2,4,7}:{(44,1),(45,1),(104,1),(106,1)}
        72:{3,4,6}:{(45,1),(54,1),(62,1),(106,1),(519,1)}
        73:{3,4,5,7}:{(46,1),(98,1),(107,1),(109,1),(195,1),(198,1),(218,1),(294,1),(320,1)}
        74:{3,4,6}:{(46,1),(47,1),(99,1),(109,1),(111,1)}
        75:{3,6,7}:{(47,1),(48,1),(110,1),(191,1)}
        76:{3,5,6}:{(47,1),(49,1),(109,1),(110,1),(111,1)}
        77:{2,5,7}:{(48,1),(49,1),(50,1),(110,1)}
        78:{2,4,5,6}:{(49,1),(51,1),(103,1),(111,1),(113,1),(114,1),(117,1),(188,1),(202,1),(293,1),(301,1),(397,1)}
        79:{1,5,6,7}:{(50,1),(52,1),(112,1),(115,1),(283,1),(401,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(104,1),(113,1),(115,1),(116,1),(207,1),(307,1),(401,1)}
        81:{1,3,5,6}:{(51,1),(54,1),(105,1),(114,1),(116,1),(117,1),(285,1),(385,1)}
        82:{2,4,6,7}:{(52,1),(53,1),(55,1),(115,1),(118,1),(206,1),(377,1)}
        83:{3,5,7}:{(53,1),(54,1),(106,1),(118,1),(403,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(94,1),(119,1),(121,1),(122,1),(173,1),(315,1),(388,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(180,1),(209,1),(387,1)}
        88:{2,3,5,7}:{(58,1),(98,1),(121,1),(125,1),(126,1),(294,1),(386,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(99,1),(122,1),(125,1),(126,1),(127,1),(190,1),(217,1),(287,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(103,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(105,1),(128,1),(129,1),(199,1),(214,1),(220,1),(285,1),(304,1),(400,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(225,1)}
        94:{1,4,7}:{(63,1),(65,1),(130,1),(133,1),(165,1)}
        95:{1,3,6}:{(63,1),(64,1),(66,1),(131,1),(133,1)}
        96:{1,2,6,7}:{(64,1),(67,1),(134,1),(136,1),(258,1),(259,1),(359,1),(428,1),(493,1),(494,1),(529,1)}
        97:{1,2,5,6}:{(64,1),(68,1),(87,1),(135,1),(136,1),(137,1),(159,1),(257,1),(260,1),(338,1),(342,1),(427,1),(428,1),(430,1),(488,1),(494,1)}
        98:{2,4,5,7}:{(65,1),(73,1),(88,1),(132,1),(138,1),(140,1),(169,1),(236,1),(268,1)}
        99:{2,4,6}:{(65,1),(66,1),(74,1),(133,1),(140,1)}
       100:{2,3,6,7}:{(66,1),(67,1),(75,1),(134,1),(139,1),(141,1),(345,1),(428,1),(529,1),(530,1),(544,1)}
       101:{2,3,5,6}:{(66,1),(68,1),(76,1),(90,1),(135,1),(140,1),(141,1),(142,1),(144,1),(235,1),(238,1),(240,1),(338,1),(345,1),(428,1),(488,1),(491,1),(524,1),(530,1),(545,1),(547,1)}
       102:{2,5,7}:{(67,1),(68,1),(69,1),(143,1),(350,1)}
       103:{2,4,6}:{(68,1),(70,1),(91,1),(143,1),(144,1)}
       104:{1,4,7}:{(69,1),(70,1),(71,1),(143,1),(152,1)}
       105:{1,3,4,6}:{(70,1),(72,1),(81,1),(92,1),(144,1),(145,1),(146,1),(153,1),(244,1),(254,1),(358,1)}
       106:{3,4,7}:{(71,1),(72,1),(83,1),(501,1)}
       107:{3,4,6}:{(73,1),(138,1),(148,1),(248,1),(345,1)}
       108:{3,4,6,7}:{(74,1),(75,1),(139,1),(149,1),(152,1),(241,1),(248,1),(345,1),(544,1),(546,1),(551,1)}
       109:{3,5}:{(74,1),(140,1),(150,1)}
       110:{3,5,7}:{(75,1),(76,1),(77,1),(152,1)}
       111:{4,6}:{(76,1),(150,1),(152,1)}
       112:{2,5,6,7}:{(77,1),(79,1),(151,1),(154,1),(238,1),(355,1)}
       113:{2,4,5,7}:{(77,1),(78,1),(80,1),(143,1),(152,1),(154,1),(155,1),(158,1),(251,1),(253,1),(355,1)}
       114:{3,5,6}:{(78,1),(144,1),(153,1),(155,1),(240,1),(345,1)}
       115:{1,4,6,7}:{(79,1),(80,1),(82,1),(154,1),(157,1),(258,1),(336,1)}
       116:{1,3,5,7}:{(80,1),(81,1),(83,1),(145,1),(155,1),(157,1),(158,1)}
       117:{2,5,6}:{(81,1),(146,1),(158,1),(159,1),(338,1),(428,1)}
       118:{3,6,7}:{(82,1),(83,1),(420,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(132,1),(160,1),(163,1),(164,1),(221,1),(429,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(133,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(340,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(231,1),(261,1),(266,1),(271,1),(338,1),(354,1),(366,1),(367,1),(430,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(138,1),(163,1),(345,1),(428,1)}
       126:{2,3,5}:{(89,1),(140,1),(164,1),(169,1),(240,1),(338,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(144,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(338,1)}
       130:{2,4,7}:{(93,1),(94,1),(173,1),(175,1),(210,1)}
       131:{2,3,6}:{(93,1),(95,1),(175,1),(208,1),(272,1)}
       132:{1,4,5,7}:{(94,1),(98,1),(121,1),(174,1),(178,1),(180,1),(213,1),(281,1),(315,1)}
       133:{1,4,6}:{(94,1),(95,1),(99,1),(175,1),(180,1)}
       134:{1,3,6,7}:{(95,1),(96,1),(100,1),(176,1),(179,1),(181,1),(385,1),(465,1),(516,1)}
       135:{1,3,5,6}:{(95,1),(97,1),(101,1),(123,1),(177,1),(180,1),(181,1),(182,1),(184,1),(283,1),(285,1),(289,1),(385,1),(387,1),(465,1),(467,1),(516,1),(542,1)}
       136:{1,2,5,7}:{(96,1),(97,1),(102,1),(181,1),(183,1),(207,1),(310,1),(311,1),(386,1),(390,1),(464,1),(512,1)}
       137:{1,2,4,6}:{(97,1),(103,1),(124,1),(182,1),(183,1),(184,1),(194,1),(287,1),(299,1),(308,1),(312,1),(409,1),(477,1),(506,1)}
       138:{2,4,6}:{(98,1),(107,1),(125,1),(178,1),(186,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(108,1),(179,1),(187,1),(189,1),(293,1),(541,1)}
       140:{2,5}:{(99,1),(109,1),(180,1)}
       141:{2,3,5,7}:{(100,1),(101,1),(102,1),(110,1),(181,1),(187,1),(189,1),(191,1),(288,1),(294,1),(386,1),(512,1),(537,1),(548,1)}
       142:{2,4,6}:{(101,1),(111,1),(127,1),(182,1),(188,1),(189,1),(190,1),(515,1),(549,1)}
       143:{2,4,7}:{(102,1),(103,1),(104,1),(191,1)}
       144:{3,6}:{(103,1),(128,1),(191,1)}
       145:{1,3,4,7}:{(104,1),(105,1),(106,1),(116,1),(191,1),(193,1),(201,1),(298,1),(307,1),(403,1)}
       146:{2,4,6}:{(105,1),(117,1),(129,1),(192,1),(193,1),(194,1),(299,1)}
       147:{3,4,6,7}:{(107,1),(185,1),(195,1),(300,1),(320,1),(391,1)}
       148:{3,5,6}:{(107,1),(109,1),(186,1),(195,1),(196,1)}
       149:{3,5,7}:{(108,1),(109,1),(187,1),(197,1),(198,1),(550,1)}
       150:{4,5}:{(109,1),(111,1)}
       151:{3,5,6,7}:{(110,1),(112,1),(197,1),(200,1),(203,1),(305,1)}
       152:{4,7}:{(110,1),(111,1)}
       153:{3,4,6}:{(111,1),(114,1),(199,1),(201,1),(202,1)}
       154:{2,4,6,7}:{(112,1),(113,1),(115,1),(200,1),(203,1),(206,1),(293,1)}
       155:{3,5,7}:{(113,1),(114,1),(191,1),(201,1),(203,1)}
       156:{2,3,5,6}:{(114,1),(117,1),(192,1),(202,1),(204,1),(205,1),(295,1),(392,1),(397,1)}
       157:{1,3,6,7}:{(115,1),(116,1),(118,1),(203,1),(206,1),(385,1)}
       158:{2,5,7}:{(116,1),(117,1),(193,1),(206,1),(207,1)}
       159:{1,5,6}:{(117,1),(194,1),(207,1),(387,1),(465,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(178,1),(208,1),(272,1),(465,1)}
       164:{1,3,5}:{(122,1),(126,1),(180,1),(209,1),(213,1),(274,1),(313,1),(387,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(400,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(185,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(186,1),(212,1),(216,1),(217,1),(292,1),(384,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(192,1),(219,1),(220,1),(400,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(387,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(412,1)}
       174:{2,4,5,7}:{(130,1),(132,1),(160,1),(221,1),(223,1),(225,1),(261,1),(325,1),(326,1),(360,1),(412,1)}
       175:{2,4,6}:{(130,1),(131,1),(133,1),(222,1),(225,1)}
       176:{2,3,6,7}:{(131,1),(134,1),(224,1),(226,1),(259,1),(322,1),(359,1),(420,1),(428,1),(442,1),(497,1)}
       177:{2,3,5,6}:{(131,1),(135,1),(162,1),(225,1),(226,1),(227,1),(235,1),(257,1),(260,1),(323,1),(328,1),(330,1),(338,1),(358,1),(361,1),(420,1),(428,1),(435,1),(497,1),(499,1),(533,1)}
       178:{1,4,6}:{(132,1),(138,1),(163,1),(223,1),(229,1)}
       179:{1,4,6,7}:{(133,1),(134,1),(139,1),(224,1),(230,1),(232,1),(336,1),(532,1)}
       180:{1,5}:{(133,1),(140,1),(225,1)}
       181:{1,3,5,7}:{(134,1),(135,1),(136,1),(141,1),(226,1),(230,1),(232,1),(234,1),(341,1),(429,1)}
       182:{1,4,6}:{(135,1),(142,1),(165,1),(227,1),(231,1),(232,1),(496,1)}
       183:{1,2,4,7}:{(136,1),(137,1),(143,1),(232,1),(234,1),(245,1),(339,1),(350,1),(357,1),(360,1),(447,1),(502,1),(523,1)}
       184:{1,3,6}:{(137,1),(144,1),(166,1),(234,1),(235,1),(358,1),(361,1),(524,1)}
       185:{2,4,6,7}:{(138,1),(147,1),(167,1),(228,1),(236,1),(268,1)}
       186:{2,5,6}:{(138,1),(140,1),(148,1),(229,1),(236,1)}
       187:{2,5,7}:{(139,1),(140,1),(149,1),(230,1),(238,1),(547,1)}
       188:{2,4,5}:{(140,1),(142,1),(150,1),(231,1),(240,1),(338,1),(547,1),(552,1)}
       189:{2,4,7}:{(141,1),(142,1),(152,1),(232,1),(241,1),(551,1)}
       190:{3,4,6}:{(142,1),(144,1),(170,1),(240,1),(241,1),(345,1),(524,1),(528,1)}
       191:{3,7}:{(143,1),(144,1)}
       192:{2,3,6}:{(144,1),(146,1),(171,1),(243,1),(244,1),(358,1)}
       193:{2,4,7}:{(145,1),(146,1),(158,1),(243,1),(245,1),(350,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(244,1),(245,1)}
       195:{3,5,7}:{(147,1),(148,1),(236,1),(247,1)}
       196:{4,5,6}:{(148,1),(150,1),(247,1),(248,1)}
       197:{3,5,6}:{(149,1),(238,1),(248,1),(345,1)}
       198:{4,5,7}:{(149,1),(150,1),(152,1),(248,1),(551,1),(552,1)}
       199:{3,4,5}:{(150,1),(153,1),(240,1),(250,1),(528,1)}
       200:{4,6,7}:{(151,1),(152,1),(248,1),(251,1)}
       201:{3,4,7}:{(152,1),(153,1),(155,1),(253,1)}
       202:{2,4,6}:{(153,1),(156,1),(250,1),(253,1),(254,1)}
       203:{3,6,7}:{(154,1),(155,1),(345,1)}
       204:{2,3,5,7}:{(155,1),(156,1),(158,1),(243,1),(253,1),(255,1),(256,1),(355,1)}
       205:{1,3,5,6}:{(156,1),(159,1),(244,1),(254,1),(256,1),(257,1),(347,1),(358,1),(433,1),(437,1),(499,1)}
       206:{2,6,7}:{(157,1),(158,1),(258,1),(428,1)}
       207:{1,5,7}:{(158,1),(159,1),(245,1),(258,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(228,1),(259,1),(263,1),(322,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(229,1),(260,1),(263,1),(264,1),(323,1),(361,1),(427,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(440,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(338,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(236,1),(263,1),(268,1),(344,1),(426,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(240,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(440,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(244,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(174,1),(272,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(175,1),(272,1),(274,1),(370,1)}
       223:{2,4,6}:{(174,1),(178,1),(208,1),(272,1),(276,1),(370,1)}
       224:{2,4,6,7}:{(175,1),(176,1),(179,1),(273,1),(277,1),(279,1),(377,1),(518,1)}
       225:{2,5}:{(175,1),(180,1),(274,1)}
       226:{2,3,5,7}:{(176,1),(177,1),(181,1),(277,1),(279,1),(288,1),(310,1),(311,1),(369,1),(378,1),(386,1),(403,1),(404,1),(475,1)}
       227:{2,4,6}:{(177,1),(182,1),(210,1),(278,1),(279,1),(280,1),(370,1),(471,1),(519,1)}
       228:{1,4,6,7}:{(178,1),(185,1),(211,1),(275,1),(281,1),(315,1)}
       229:{1,5,6}:{(178,1),(180,1),(186,1),(276,1),(281,1)}
       230:{1,5,7}:{(179,1),(180,1),(187,1),(277,1),(283,1),(542,1)}
       231:{1,4,5}:{(180,1),(182,1),(188,1),(278,1),(285,1),(387,1),(542,1)}
       232:{1,4,7}:{(181,1),(182,1),(189,1),(279,1)}
       233:{1,3,4,6}:{(182,1),(184,1),(190,1),(214,1),(280,1),(285,1),(286,1),(287,1),(385,1)}
       234:{1,3,7}:{(183,1),(184,1),(191,1),(288,1),(403,1),(404,1),(537,1)}
       235:{2,3,6}:{(184,1),(215,1),(287,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,7}:{(185,1),(186,1),(195,1),(281,1)}
       237:{2,4,5,6}:{(186,1),(188,1),(196,1),(217,1),(282,1),(291,1),(292,1),(293,1),(384,1),(506,1),(538,1),(549,1)}
       238:{2,5,6}:{(187,1),(197,1),(283,1),(293,1)}
       239:{2,4,5,7}:{(187,1),(188,1),(189,1),(198,1),(284,1),(293,1),(294,1),(386,1)}
       240:{3,5}:{(188,1),(190,1)}
       241:{3,4,7}:{(189,1),(190,1),(191,1),(294,1),(537,1)}
       242:{2,3,4,6}:{(190,1),(192,1),(202,1),(219,1),(287,1),(295,1),(296,1),(297,1),(392,1),(462,1),(515,1),(541,1)}
       243:{2,3,7}:{(191,1),(192,1),(193,1),(298,1),(403,1)}
       244:{1,3,6}:{(192,1),(194,1),(220,1),(298,1),(299,1)}
       245:{1,4,7}:{(193,1),(194,1),(207,1),(298,1)}
       246:{3,5,6,7}:{(195,1),(197,1),(290,1),(300,1),(391,1),(548,1)}
       247:{4,5,7}:{(195,1),(196,1),(300,1)}
       248:{4,6}:{(197,1),(198,1)}
       249:{3,4,5,7}:{(198,1),(199,1),(201,1),(294,1),(302,1),(303,1),(305,1),(540,1),(550,1)}
       250:{2,4,5}:{(199,1),(202,1),(295,1),(304,1),(515,1)}
       251:{4,5,7}:{(200,1),(301,1),(305,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(203,1),(302,1),(305,1),(306,1)}
       253:{2,4,7}:{(201,1),(202,1),(204,1),(307,1)}
       254:{1,4,6}:{(202,1),(205,1),(304,1),(307,1),(308,1),(519,1)}
       255:{2,3,6,7}:{(203,1),(204,1),(206,1),(306,1),(309,1),(392,1)}
       256:{1,3,5,7}:{(204,1),(205,1),(207,1),(298,1),(307,1),(309,1),(310,1),(401,1),(403,1),(475,1)}
       257:{2,5,6}:{(205,1),(299,1),(308,1),(310,1),(394,1),(469,1)}
       258:{1,6,7}:{(206,1),(207,1),(465,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(281,1),(311,1),(315,1),(369,1),(404,1),(464,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(370,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(285,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(387,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(292,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,6}:{(221,1),(223,1)}
       273:{3,4,6,7}:{(222,1),(224,1),(322,1),(324,1),(331,1),(412,1),(414,1),(420,1),(442,1),(500,1),(501,1)}
       274:{3,5}:{(222,1),(225,1),(325,1)}
       275:{2,4,6,7}:{(223,1),(228,1),(259,1),(322,1),(326,1),(360,1),(412,1)}
       276:{2,5,6}:{(223,1),(225,1),(229,1),(323,1),(326,1)}
       277:{2,5,7}:{(224,1),(225,1),(230,1),(324,1),(328,1),(533,1)}
       278:{2,4,5}:{(225,1),(227,1),(231,1),(325,1),(330,1),(338,1),(533,1),(534,1)}
       279:{2,4,7}:{(226,1),(227,1),(232,1),(331,1),(412,1),(501,1)}
       280:{3,4,6}:{(227,1),(262,1),(330,1),(331,1),(358,1),(361,1),(420,1),(440,1)}
       281:{1,5,7}:{(228,1),(229,1),(236,1),(326,1)}
       282:{1,4,5,6}:{(229,1),(231,1),(237,1),(264,1),(327,1),(334,1),(335,1),(336,1),(427,1),(481,1),(525,1)}
       283:{1,5,6}:{(230,1),(238,1),(328,1),(336,1)}
       284:{1,4,5,7}:{(230,1),(231,1),(232,1),(239,1),(329,1),(336,1),(337,1),(429,1)}
       285:{1,3,5}:{(231,1),(233,1),(240,1),(330,1),(338,1)}
       286:{1,3,4,7}:{(232,1),(233,1),(234,1),(241,1),(331,1),(337,1),(339,1)}
       287:{2,4,6}:{(233,1),(235,1),(266,1),(338,1),(339,1),(340,1),(428,1)}
       288:{2,3,7}:{(234,1),(235,1),(339,1),(341,1),(350,1),(502,1)}
       289:{1,3,6}:{(235,1),(267,1),(340,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(238,1),(246,1),(333,1),(343,1),(543,1)}
       291:{2,4,5,7}:{(236,1),(237,1),(247,1),(268,1),(334,1),(343,1),(344,1),(426,1),(523,1),(543,1),(551,1)}
       292:{3,5,6}:{(237,1),(240,1),(269,1),(344,1),(345,1),(524,1)}
       293:{2,4,6}:{(238,1),(239,1),(248,1),(336,1),(345,1),(428,1)}
       294:{3,5,7}:{(239,1),(240,1),(241,1),(345,1)}
       295:{2,3,5}:{(240,1),(242,1),(250,1),(338,1),(347,1),(547,1)}
       296:{2,3,4,7}:{(241,1),(242,1),(243,1),(253,1),(339,1),(346,1),(348,1),(492,1),(531,1)}
       297:{1,3,4,6}:{(242,1),(244,1),(254,1),(270,1),(340,1),(347,1),(348,1),(349,1),(358,1),(432,1),(433,1),(440,1),(496,1),(500,1),(532,1)}
       298:{1,3,7}:{(243,1),(244,1),(245,1),(350,1)}
       299:{2,6}:{(244,1),(271,1),(350,1)}
       300:{4,6,7}:{(246,1),(247,1),(248,1),(551,1)}
       301:{4,5,6}:{(248,1),(251,1),(351,1),(552,1)}
       302:{3,4,6}:{(248,1),(249,1),(345,1),(351,1),(352,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(346,1),(352,1),(353,1),(355,1),(531,1),(547,1)}
       304:{1,4,5}:{(250,1),(254,1),(347,1),(354,1),(496,1),(534,1)}
       305:{3,5,7}:{(251,1),(252,1),(351,1),(355,1)}
       306:{2,4,6,7}:{(252,1),(253,1),(255,1),(352,1),(355,1),(356,1)}
       307:{1,4,7}:{(253,1),(254,1),(256,1),(357,1),(501,1)}
       308:{2,4,6}:{(254,1),(257,1),(354,1),(357,1),(358,1)}
       309:{1,3,6,7}:{(255,1),(256,1),(258,1),(356,1),(359,1),(433,1),(442,1)}
       310:{2,5,7}:{(256,1),(257,1),(350,1),(357,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(412,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(335,1),(361,1),(364,1),(365,1),(413,1),(444,1),(481,1),(524,1)}
       317:{2,4,5}:{(265,1),(266,1),(338,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(344,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,6,7}:{(272,1),(275,1),(369,1),(404,1)}
       323:{3,5,6}:{(272,1),(274,1),(276,1),(369,1),(370,1)}
       324:{3,5,7}:{(273,1),(274,1),(277,1),(371,1),(372,1),(520,1)}
       325:{4,5}:{(274,1),(370,1)}
       326:{2,5,7}:{(275,1),(276,1),(281,1),(369,1)}
       327:{2,4,5,6}:{(276,1),(278,1),(282,1),(312,1),(370,1),(375,1),(376,1),(377,1),(384,1),(450,1),(451,1),(507,1)}
       328:{2,5,6}:{(277,1),(283,1),(371,1),(377,1)}
       329:{2,4,5,7}:{(277,1),(278,1),(279,1),(284,1),(372,1),(377,1),(378,1),(386,1)}
       330:{3,5}:{(278,1),(280,1)}
       331:{3,4,7}:{(279,1),(280,1),(378,1),(403,1),(404,1)}
       332:{2,3,4,6}:{(280,1),(287,1),(314,1),(379,1),(380,1),(381,1),(396,1),(405,1),(450,1),(458,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(283,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,5,7}:{(281,1),(282,1),(291,1),(315,1),(375,1),(382,1),(383,1),(464,1),(505,1),(535,1)}
       335:{1,3,5,6}:{(282,1),(285,1),(292,1),(316,1),(376,1),(383,1),(384,1),(385,1)}
       336:{1,4,6}:{(283,1),(284,1),(293,1),(377,1),(385,1),(465,1)}
       337:{1,3,5,7}:{(284,1),(285,1),(286,1),(294,1),(378,1),(385,1),(386,1)}
       338:{2,5}:{(285,1),(287,1),(387,1)}
       339:{2,4,7}:{(286,1),(287,1),(288,1),(386,1),(388,1)}
       340:{1,4,6}:{(287,1),(289,1),(318,1),(387,1),(388,1),(465,1)}
       341:{1,3,7}:{(288,1),(289,1),(388,1),(390,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(390,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(293,1),(300,1),(382,1),(391,1),(463,1)}
       344:{3,5,7}:{(291,1),(292,1),(320,1),(391,1),(537,1)}
       345:{3,6}:{(293,1),(294,1)}
       346:{2,3,5,7}:{(294,1),(295,1),(296,1),(303,1),(386,1),(392,1),(393,1)}
       347:{1,3,5}:{(295,1),(297,1),(304,1),(387,1),(394,1),(400,1),(520,1),(542,1)}
       348:{1,3,4,7}:{(296,1),(297,1),(298,1),(307,1),(388,1),(393,1),(395,1),(403,1),(468,1),(474,1),(517,1)}
       349:{2,4,6}:{(297,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       350:{2,7}:{(298,1),(299,1)}
       351:{3,5,6}:{(301,1),(302,1),(305,1),(397,1),(550,1)}
       352:{2,4,6}:{(302,1),(303,1),(392,1),(397,1),(398,1)}
       353:{1,4,5,7}:{(303,1),(304,1),(307,1),(393,1),(398,1),(399,1),(401,1),(517,1),(542,1)}
       354:{2,4,5}:{(304,1),(308,1),(394,1),(400,1),(471,1)}
       355:{2,5,7}:{(305,1),(306,1),(397,1),(401,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(309,1),(398,1),(401,1),(402,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(403,1)}
       358:{3,6}:{(308,1),(400,1),(403,1)}
       359:{2,6,7}:{(309,1),(310,1),(469,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(383,1),(404,1),(408,1),(449,1),(476,1),(505,1),(537,1)}
       365:{2,4,6}:{(316,1),(317,1),(384,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(387,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,7}:{(322,1),(323,1),(326,1),(412,1)}
       370:{4,6}:{(323,1),(325,1),(412,1)}
       371:{3,5,6}:{(324,1),(328,1),(414,1),(420,1)}
       372:{4,5,7}:{(324,1),(325,1),(412,1),(414,1),(501,1),(534,1)}
       373:{3,4,5}:{(325,1),(330,1),(413,1),(416,1),(440,1)}
       374:{2,5,6,7}:{(326,1),(328,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,5,7}:{(326,1),(327,1),(334,1),(360,1),(412,1),(417,1),(418,1),(426,1),(478,1),(480,1),(521,1)}
       376:{3,5,6}:{(327,1),(330,1),(361,1),(413,1),(418,1),(420,1)}
       377:{2,4,6}:{(328,1),(329,1),(336,1),(414,1),(420,1),(428,1)}
       378:{3,5,7}:{(329,1),(330,1),(331,1),(420,1)}
       379:{2,3,5}:{(330,1),(332,1),(338,1),(416,1),(422,1),(533,1)}
       380:{2,3,4,7}:{(331,1),(332,1),(339,1),(421,1),(423,1),(436,1),(443,1),(480,1),(498,1)}
       381:{1,3,4,6}:{(332,1),(340,1),(363,1),(422,1),(423,1),(424,1),(432,1),(444,1),(481,1),(489,1),(496,1),(524,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(336,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,5,7}:{(334,1),(335,1),(344,1),(364,1),(418,1),(425,1),(426,1)}
       384:{2,5,6}:{(335,1),(338,1),(365,1),(426,1),(427,1),(428,1)}
       385:{1,3,6}:{(336,1),(337,1),(345,1),(420,1),(428,1)}
       386:{2,5,7}:{(337,1),(338,1),(339,1),(428,1),(429,1)}
       387:{1,5}:{(338,1),(340,1)}
       388:{1,4,7}:{(339,1),(340,1),(341,1),(429,1)}
       389:{1,2,4,6}:{(340,1),(342,1),(349,1),(367,1),(424,1),(430,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       390:{1,2,7}:{(341,1),(342,1),(350,1),(502,1)}
       391:{3,6,7}:{(343,1),(344,1),(345,1)}
       392:{2,3,6}:{(345,1),(346,1),(352,1),(428,1),(433,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(429,1),(433,1),(434,1),(439,1)}
       394:{2,5}:{(347,1),(349,1)}
       395:{2,4,7}:{(348,1),(349,1),(350,1),(434,1),(436,1)}
       396:{2,3,6}:{(349,1),(358,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,4,6}:{(352,1),(353,1),(433,1),(437,1),(438,1)}
       399:{2,4,5,7}:{(353,1),(354,1),(357,1),(434,1),(438,1),(439,1),(441,1),(498,1),(501,1),(533,1),(534,1)}
       400:{3,5}:{(354,1),(358,1),(440,1)}
       401:{1,5,7}:{(355,1),(356,1),(437,1),(441,1)}
       402:{2,4,6,7}:{(356,1),(357,1),(359,1),(438,1),(441,1),(442,1),(501,1)}
       403:{3,7}:{(357,1),(358,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(524,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(426,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(427,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(448,1),(455,1),(503,1)}
       412:{4,7}:{(369,1),(370,1)}
       413:{3,4,6}:{(370,1),(373,1),(376,1),(449,1),(450,1)}
       414:{4,6}:{(371,1),(372,1)}
       415:{3,4,5,7}:{(372,1),(373,1),(378,1),(449,1),(452,1),(453,1),(474,1),(503,1),(520,1)}
       416:{2,4,5}:{(373,1),(379,1),(450,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(377,1),(382,1),(448,1),(455,1),(463,1)}
       418:{3,5,7}:{(375,1),(376,1),(404,1),(449,1),(455,1)}
       419:{2,3,5,6}:{(376,1),(379,1),(384,1),(405,1),(450,1),(456,1),(457,1),(458,1),(507,1)}
       420:{3,6}:{(377,1),(378,1)}
       421:{2,3,5,7}:{(378,1),(379,1),(380,1),(386,1),(453,1),(458,1),(459,1)}
       422:{1,3,5}:{(379,1),(381,1),(387,1),(454,1),(460,1),(510,1),(542,1),(550,1)}
       423:{1,3,4,7}:{(380,1),(381,1),(388,1),(459,1),(461,1),(468,1),(476,1),(505,1),(517,1),(537,1),(540,1)}
       424:{2,4,6}:{(381,1),(407,1),(460,1),(461,1),(462,1),(477,1),(513,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(385,1),(391,1),(455,1),(463,1)}
       426:{2,5,7}:{(383,1),(384,1),(408,1),(463,1),(464,1)}
       427:{1,5,6}:{(384,1),(387,1),(409,1),(464,1),(465,1)}
       428:{2,6}:{(385,1),(386,1),(465,1)}
       429:{1,5,7}:{(386,1),(387,1),(388,1),(465,1)}
       430:{1,2,5}:{(387,1),(389,1),(394,1),(460,1),(467,1),(542,1)}
       431:{1,2,4,7}:{(388,1),(389,1),(390,1),(395,1),(461,1),(466,1),(468,1),(517,1)}
       432:{1,3,6}:{(389,1),(396,1),(410,1),(462,1),(467,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(398,1),(465,1),(469,1),(473,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,5}:{(394,1),(396,1),(400,1),(467,1),(471,1)}
       436:{2,3,7}:{(395,1),(396,1),(403,1),(468,1)}
       437:{1,5,6}:{(397,1),(398,1),(401,1),(472,1),(542,1)}
       438:{2,4,6}:{(398,1),(399,1),(469,1),(472,1),(473,1),(519,1)}
       439:{3,5,7}:{(399,1),(400,1),(403,1),(473,1),(474,1),(520,1)}
       440:{3,4}:{(400,1),(471,1)}
       441:{2,5,7}:{(401,1),(402,1),(472,1),(475,1)}
       442:{3,6,7}:{(402,1),(403,1),(473,1),(475,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(537,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(464,1),(476,1)}
       448:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       449:{3,4,7}:{(412,1),(413,1),(418,1),(480,1)}
       450:{2,4,6}:{(413,1),(416,1),(419,1),(480,1),(481,1)}
       451:{4,5,6}:{(414,1),(478,1),(482,1),(534,1)}
       452:{3,4,6}:{(414,1),(415,1),(420,1),(482,1),(483,1)}
       453:{2,4,5,7}:{(415,1),(416,1),(421,1),(480,1),(483,1),(484,1),(498,1),(521,1),(533,1)}
       454:{1,4,5}:{(416,1),(422,1),(481,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(420,1)}
       456:{2,3,5,7}:{(418,1),(419,1),(426,1),(443,1),(480,1),(486,1),(487,1),(521,1)}
       457:{1,3,5,6}:{(419,1),(422,1),(427,1),(444,1),(481,1),(487,1),(488,1),(489,1),(524,1),(525,1),(545,1)}
       458:{2,3,6}:{(420,1),(421,1),(428,1),(483,1),(489,1)}
       459:{1,3,5,7}:{(421,1),(422,1),(423,1),(429,1),(484,1),(489,1),(490,1),(527,1)}
       460:{2,5}:{(422,1),(424,1)}
       461:{2,4,7}:{(423,1),(424,1),(490,1),(492,1),(502,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(491,1),(492,1),(524,1)}
       463:{2,6,7}:{(425,1),(426,1),(428,1),(493,1)}
       464:{1,5,7}:{(426,1),(427,1),(447,1),(493,1)}
       465:{1,6}:{(428,1),(429,1)}
       466:{1,2,5,7}:{(429,1),(430,1),(431,1),(434,1),(490,1),(494,1),(495,1)}
       467:{1,3,5}:{(430,1),(432,1),(435,1),(491,1),(496,1)}
       468:{1,3,7}:{(431,1),(432,1),(436,1),(492,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(439,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(435,1),(440,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(441,1),(499,1),(533,1)}
       473:{3,6}:{(438,1),(439,1)}
       474:{3,4,7}:{(439,1),(440,1),(498,1),(500,1),(501,1)}
       475:{3,5,7}:{(441,1),(442,1),(499,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(451,1),(503,1)}
       479:{3,4,6,7}:{(448,1),(449,1),(452,1),(455,1),(503,1),(504,1)}
       480:{2,4,7}:{(449,1),(450,1),(456,1),(505,1)}
       481:{1,4,6}:{(450,1),(454,1),(457,1),(505,1),(506,1),(549,1)}
       482:{3,5,6}:{(451,1),(452,1),(503,1),(507,1),(520,1)}
       483:{2,4,6}:{(452,1),(453,1),(458,1),(507,1),(508,1)}
       484:{1,4,5,7}:{(453,1),(454,1),(459,1),(505,1),(508,1),(509,1),(517,1),(535,1),(542,1)}
       485:{2,4,5}:{(454,1),(460,1),(506,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(458,1),(463,1),(504,1),(511,1)}
       487:{1,3,5,7}:{(456,1),(457,1),(464,1),(476,1),(505,1),(511,1),(512,1),(535,1),(537,1),(548,1)}
       488:{2,5,6}:{(457,1),(460,1),(477,1),(506,1),(512,1),(513,1)}
       489:{1,3,6}:{(458,1),(459,1),(465,1),(508,1),(513,1),(539,1)}
       490:{2,5,7}:{(459,1),(460,1),(461,1),(513,1)}
       491:{2,3,5}:{(460,1),(462,1),(467,1),(510,1),(515,1)}
       492:{2,3,7}:{(461,1),(462,1),(468,1),(537,1)}
       493:{1,6,7}:{(463,1),(464,1),(465,1)}
       494:{1,2,6}:{(465,1),(466,1),(469,1),(513,1),(516,1)}
       495:{1,3,5,7}:{(466,1),(467,1),(468,1),(470,1),(514,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(467,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(473,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(474,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(475,1),(519,1),(520,1)}
       500:{3,4,6}:{(473,1),(474,1),(518,1),(519,1),(520,1)}
       501:{4,7}:{(475,1),(519,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(482,1),(521,1)}
       504:{2,4,6,7}:{(479,1),(480,1),(483,1),(486,1),(521,1),(522,1)}
       505:{1,4,7}:{(480,1),(481,1),(487,1),(523,1),(551,1)}
       506:{2,4,6}:{(481,1),(485,1),(488,1),(523,1),(524,1)}
       507:{2,5,6}:{(482,1),(483,1),(521,1),(525,1),(533,1)}
       508:{1,4,6}:{(483,1),(484,1),(489,1),(525,1),(526,1)}
       509:{2,4,5,7}:{(484,1),(485,1),(490,1),(523,1),(526,1),(527,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       510:{3,5}:{(485,1),(524,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(489,1),(493,1),(522,1),(529,1),(544,1)}
       512:{2,5,7}:{(487,1),(488,1),(502,1),(523,1),(529,1)}
       513:{2,6}:{(489,1),(490,1)}
       514:{2,3,5,7}:{(490,1),(491,1),(492,1),(495,1),(527,1),(530,1),(531,1),(547,1)}
       515:{2,4}:{(491,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(500,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(501,1),(534,1)}
       520:{3,5}:{(500,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(507,1),(535,1)}
       522:{1,4,6,7}:{(504,1),(505,1),(508,1),(511,1),(535,1),(536,1)}
       523:{2,4,7}:{(505,1),(506,1),(512,1),(537,1)}
       524:{3,6}:{(506,1),(510,1),(537,1)}
       525:{1,5,6}:{(507,1),(508,1),(535,1),(538,1),(542,1)}
       526:{2,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1),(549,1)}
       527:{3,5,7}:{(509,1),(510,1),(537,1),(539,1),(540,1),(550,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(513,1)}
       530:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       531:{2,4,7}:{(514,1),(515,1),(517,1),(540,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(525,1),(543,1)}
       536:{2,4,6,7}:{(522,1),(523,1),(526,1),(529,1),(543,1),(544,1),(551,1)}
       537:{3,7}:{(523,1),(524,1)}
       538:{2,5,6}:{(525,1),(526,1),(543,1),(545,1),(547,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{3,4,7}:{(527,1),(528,1),(531,1),(546,1),(551,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(538,1),(548,1)}
       544:{3,6,7}:{(536,1),(537,1),(539,1),(548,1)}
       545:{3,5,6}:{(538,1),(539,1),(548,1),(549,1),(550,1)}
       546:{3,4,6}:{(539,1),(540,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(545,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 572 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(124,1)}
         1:{4,5,6}:{(6,1),(7,1),(135,1),(149,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(9,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(76,1),(111,1)}
         4:{2,3,4}:{(5,1),(11,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(12,1),(13,1)}
         6:{3,5,6}:{(1,1),(2,1),(14,1),(15,1),(124,1),(146,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{2,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1),(18,1)}
         9:{3,4,7}:{(2,1),(15,1),(18,1)}
        10:{1,4,5}:{(3,1),(13,1),(17,1),(19,1),(62,1),(96,1)}
        11:{1,3,4}:{(4,1),(13,1),(20,1),(42,1),(43,1),(62,1)}
        12:{2,3,6}:{(5,1),(8,1),(21,1),(22,1)}
        13:{1,3,5}:{(5,1),(10,1),(11,1),(21,1),(23,1),(30,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(111,1),(140,1)}
        15:{3,5,7}:{(6,1),(7,1),(9,1),(25,1),(26,1)}
        16:{4,6,7}:{(7,1),(26,1),(27,1),(149,1)}
        17:{1,4,6}:{(8,1),(10,1),(21,1),(24,1),(28,1),(29,1)}
        18:{2,4,7}:{(8,1),(9,1),(22,1),(25,1),(29,1)}
        19:{2,4,5}:{(10,1),(23,1),(28,1),(30,1),(49,1),(80,1),(83,1)}
        20:{2,4}:{(11,1),(23,1),(32,1)}
        21:{1,3,6}:{(12,1),(13,1),(17,1),(34,1),(35,1),(40,1)}
        22:{2,3,7}:{(12,1),(18,1),(35,1)}
        23:{2,5}:{(13,1),(20,1),(34,1)}
        24:{1,5,6}:{(14,1),(17,1),(37,1),(38,1),(96,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1)}
        26:{3,6,7}:{(15,1),(16,1),(39,1),(146,1)}
        27:{5,6,7}:{(16,1),(152,1)}
        28:{2,4,6}:{(17,1),(19,1),(34,1),(37,1),(40,1),(41,1),(66,1)}
        29:{1,4,7}:{(17,1),(18,1),(35,1),(38,1),(41,1)}
        30:{3,5}:{(19,1),(40,1),(42,1)}
        31:{1,2,4}:{(20,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(20,1),(43,1)}
        33:{1,2,5}:{(23,1),(31,1),(45,1),(46,1),(89,1)}
        34:{2,6}:{(21,1),(23,1),(48,1)}
        35:{1,3,7}:{(21,1),(22,1),(29,1),(48,1),(54,1)}
        36:{2,3,5}:{(23,1),(30,1),(32,1),(46,1),(47,1),(49,1),(80,1)}
        37:{2,5,6}:{(24,1),(28,1),(50,1),(51,1),(80,1),(118,1)}
        38:{1,5,7}:{(24,1),(25,1),(29,1),(51,1),(52,1)}
        39:{2,6,7}:{(25,1),(26,1),(52,1),(140,1)}
        40:{3,6}:{(28,1),(30,1),(54,1)}
        41:{2,4,7}:{(28,1),(29,1),(48,1),(51,1),(54,1),(84,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(34,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(60,1),(62,1),(96,1)}
        47:{2,3,6}:{(34,1),(36,1),(40,1),(60,1),(63,1),(64,1)}
        48:{2,7}:{(34,1),(35,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{3,5,6}:{(37,1),(40,1),(66,1),(67,1),(69,1),(106,1),(134,1)}
        51:{2,5,7}:{(37,1),(38,1),(41,1),(67,1),(68,1)}
        52:{1,6,7}:{(38,1),(39,1),(68,1),(131,1)}
        53:{3,4,6}:{(40,1),(42,1),(63,1),(66,1),(69,1),(70,1),(106,1)}
        54:{3,7}:{(40,1),(41,1)}
        55:{3,4,5}:{(42,1),(65,1),(69,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(111,1)}
        60:{1,3,6}:{(45,1),(46,1),(47,1),(75,1),(77,1),(78,1)}
        61:{1,2,7}:{(45,1),(48,1),(78,1),(123,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,4,6}:{(47,1),(49,1),(53,1),(77,1),(80,1),(81,1),(118,1)}
        64:{2,3,7}:{(47,1),(48,1),(54,1),(78,1),(81,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(80,1),(82,1)}
        66:{4,6}:{(50,1),(83,1),(84,1)}
        67:{3,5,7}:{(50,1),(51,1),(54,1),(84,1),(85,1),(121,1)}
        68:{2,6,7}:{(51,1),(52,1),(85,1),(118,1)}
        69:{3,5}:{(53,1),(80,1),(83,1)}
        70:{3,4,7}:{(53,1),(54,1),(81,1),(84,1),(87,1)}
        71:{3,4,6}:{(55,1),(82,1),(86,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(60,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,4,6}:{(60,1),(62,1),(63,1),(93,1),(96,1),(97,1),(131,1)}
        78:{1,3,7}:{(60,1),(61,1),(64,1),(94,1),(97,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(96,1),(98,1)}
        80:{2,5}:{(63,1),(69,1),(96,1)}
        81:{2,4,7}:{(63,1),(64,1),(70,1),(97,1),(100,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(99,1),(101,1)}
        83:{4,5}:{(66,1),(69,1)}
        84:{4,7}:{(66,1),(67,1)}
        85:{3,6,7}:{(67,1),(68,1),(104,1),(106,1)}
        86:{3,5,6}:{(69,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        87:{3,5,7}:{(69,1),(70,1),(100,1),(103,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(105,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,4,6}:{(75,1),(76,1),(77,1),(109,1),(111,1),(112,1),(140,1)}
        94:{2,3,7}:{(75,1),(78,1),(112,1),(123,1),(138,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(111,1),(113,1),(135,1)}
        96:{1,5}:{(77,1),(80,1),(111,1)}
        97:{1,4,7}:{(77,1),(78,1),(81,1),(112,1),(115,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(114,1),(116,1)}
        99:{2,5,6}:{(80,1),(82,1),(86,1),(114,1),(117,1),(118,1)}
       100:{2,5,7}:{(80,1),(81,1),(87,1),(115,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(117,1)}
       102:{4,5,6}:{(83,1),(86,1),(119,1),(120,1)}
       103:{4,5,7}:{(83,1),(84,1),(87,1),(120,1),(121,1)}
       104:{4,6,7}:{(84,1),(85,1),(120,1),(121,1)}
       105:{3,5,7}:{(86,1),(88,1),(117,1),(119,1),(122,1)}
       106:{3,6}:{(87,1),(118,1),(120,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(93,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,5}:{(93,1),(96,1),(124,1)}
       112:{2,4,7}:{(93,1),(94,1),(97,1),(125,1),(128,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(127,1),(129,1),(143,1)}
       114:{1,5,6}:{(96,1),(98,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,5,7}:{(96,1),(97,1),(100,1),(128,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(130,1)}
       117:{2,5,7}:{(99,1),(101,1),(105,1),(130,1),(132,1)}
       118:{2,6}:{(100,1),(106,1),(131,1)}
       119:{4,5,7}:{(102,1),(105,1),(133,1)}
       120:{4,6}:{(103,1),(106,1),(134,1)}
       121:{5,7}:{(104,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(133,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,5}:{(109,1),(111,1),(135,1)}
       125:{3,4,7}:{(109,1),(112,1),(137,1),(138,1),(148,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,6}:{(111,1),(113,1),(114,1),(136,1),(139,1),(140,1)}
       128:{2,5,7}:{(111,1),(112,1),(115,1),(137,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(139,1),(148,1)}
       130:{1,5,7}:{(114,1),(116,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(115,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(122,1),(142,1)}
       134:{5,6}:{(120,1),(121,1)}
       135:{4,5}:{(124,1),(143,1)}
       136:{3,5,6}:{(124,1),(126,1),(127,1),(143,1),(145,1),(146,1),(152,1)}
       137:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(146,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,5,7}:{(127,1),(129,1),(130,1),(145,1),(147,1)}
       140:{2,6}:{(128,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(136,1),(148,1)}
       144:{4,5,7}:{(135,1),(137,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(136,1),(138,1),(139,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(137,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 573 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(127,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(108,1),(127,1)}
         4:{3,4,6}:{(1,1),(3,1),(10,1),(11,1)}
         5:{2,5,6}:{(1,1),(10,1),(12,1),(13,1),(115,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         7:{4,6,7}:{(2,1),(14,1),(15,1),(149,1)}
         8:{2,4,5}:{(3,1),(10,1),(16,1),(17,1),(91,1),(115,1)}
         9:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(8,1),(19,1),(20,1),(21,1)}
        11:{3,4,7}:{(4,1),(6,1),(21,1)}
        12:{1,5,6}:{(5,1),(20,1),(22,1),(23,1),(100,1),(132,1)}
        13:{2,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{3,6,7}:{(6,1),(7,1),(24,1),(146,1)}
        15:{5,6,7}:{(7,1),(152,1)}
        16:{2,3,5}:{(8,1),(9,1),(19,1),(25,1)}
        17:{1,4,5}:{(8,1),(20,1),(25,1),(26,1),(75,1),(100,1)}
        18:{1,3,4}:{(9,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(10,1),(16,1),(28,1),(29,1)}
        20:{1,4,6}:{(10,1),(12,1),(17,1),(28,1),(30,1),(31,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(29,1),(31,1)}
        22:{2,5,6}:{(12,1),(30,1),(32,1),(33,1),(84,1),(120,1)}
        23:{1,5,7}:{(12,1),(13,1),(31,1),(33,1),(34,1)}
        24:{2,6,7}:{(13,1),(14,1),(34,1),(140,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(28,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(30,1),(35,1),(36,1),(56,1),(60,1),(84,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{1,3,6}:{(19,1),(20,1),(25,1),(39,1),(40,1),(41,1)}
        29:{2,3,7}:{(19,1),(21,1),(40,1)}
        30:{2,4,6}:{(20,1),(22,1),(26,1),(39,1),(41,1),(42,1),(43,1)}
        31:{1,4,7}:{(20,1),(21,1),(23,1),(40,1),(42,1)}
        32:{3,5,6}:{(22,1),(41,1),(43,1),(44,1),(69,1),(105,1),(107,1)}
        33:{2,5,7}:{(22,1),(23,1),(42,1),(44,1),(45,1)}
        34:{1,6,7}:{(23,1),(24,1),(45,1),(132,1)}
        35:{2,5}:{(25,1),(27,1),(39,1)}
        36:{3,5}:{(26,1),(41,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{2,6}:{(28,1),(35,1),(53,1)}
        40:{1,3,7}:{(28,1),(29,1),(31,1),(53,1),(55,1)}
        41:{3,6}:{(30,1),(36,1),(55,1)}
        42:{2,4,7}:{(30,1),(31,1),(33,1),(53,1),(55,1),(57,1)}
        43:{4,6}:{(32,1),(56,1),(57,1)}
        44:{3,5,7}:{(32,1),(33,1),(55,1),(57,1),(58,1),(90,1)}
        45:{2,6,7}:{(33,1),(34,1),(58,1),(120,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(52,1),(59,1),(60,1),(84,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(39,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,3,6}:{(39,1),(41,1),(47,1),(65,1),(67,1),(68,1)}
        53:{2,7}:{(39,1),(40,1)}
        54:{3,4,6}:{(41,1),(43,1),(48,1),(67,1),(69,1),(70,1),(105,1)}
        55:{3,7}:{(41,1),(42,1)}
        56:{4,5}:{(43,1),(69,1)}
        57:{4,7}:{(43,1),(44,1)}
        58:{3,6,7}:{(44,1),(45,1),(73,1),(105,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(65,1),(74,1),(75,1),(100,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(69,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,3,6}:{(51,1),(52,1),(59,1),(81,1),(82,1),(83,1)}
        66:{1,2,7}:{(51,1),(53,1),(83,1),(126,1)}
        67:{2,4,6}:{(52,1),(54,1),(60,1),(82,1),(84,1),(85,1),(120,1)}
        68:{2,3,7}:{(52,1),(53,1),(55,1),(83,1),(85,1)}
        69:{3,5}:{(54,1),(56,1),(84,1)}
        70:{3,4,7}:{(54,1),(55,1),(57,1),(85,1),(87,1)}
        71:{4,5,6}:{(56,1),(86,1),(88,1),(89,1)}
        72:{4,5,7}:{(56,1),(57,1),(87,1),(89,1),(90,1)}
        73:{4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(115,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(84,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(86,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(65,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,4,6}:{(65,1),(67,1),(75,1),(98,1),(100,1),(101,1),(132,1)}
        83:{1,3,7}:{(65,1),(66,1),(68,1),(99,1),(101,1)}
        84:{2,5}:{(67,1),(69,1),(100,1)}
        85:{2,4,7}:{(67,1),(68,1),(70,1),(101,1),(103,1)}
        86:{3,5,6}:{(69,1),(71,1),(77,1),(102,1),(104,1),(105,1)}
        87:{3,5,7}:{(69,1),(70,1),(72,1),(103,1),(105,1)}
        88:{4,5,7}:{(71,1),(104,1),(106,1)}
        89:{4,6}:{(72,1),(105,1),(107,1)}
        90:{5,7}:{(73,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(100,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(102,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(104,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,4,6}:{(81,1),(82,1),(91,1),(114,1),(115,1),(116,1),(140,1)}
        99:{2,3,7}:{(81,1),(83,1),(116,1),(126,1),(142,1)}
       100:{1,5}:{(82,1),(84,1),(115,1)}
       101:{1,4,7}:{(82,1),(83,1),(85,1),(116,1),(118,1)}
       102:{2,5,6}:{(84,1),(86,1),(93,1),(117,1),(119,1),(120,1)}
       103:{2,5,7}:{(84,1),(85,1),(87,1),(118,1),(120,1)}
       104:{3,5,7}:{(86,1),(88,1),(94,1),(119,1),(121,1)}
       105:{3,6}:{(87,1),(89,1),(120,1)}
       106:{4,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       107:{5,6}:{(89,1),(90,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(115,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(117,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(119,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(98,1),(108,1),(127,1),(128,1),(134,1),(143,1),(146,1)}
       115:{2,5}:{(98,1),(100,1),(127,1)}
       116:{2,4,7}:{(98,1),(99,1),(101,1),(128,1),(130,1)}
       117:{1,5,6}:{(100,1),(102,1),(110,1),(129,1),(131,1),(132,1)}
       118:{1,5,7}:{(100,1),(101,1),(103,1),(130,1),(132,1)}
       119:{2,5,7}:{(102,1),(104,1),(111,1),(131,1),(133,1)}
       120:{2,6}:{(103,1),(105,1),(132,1)}
       121:{3,6,7}:{(104,1),(105,1),(106,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(129,1),(134,1),(135,1),(143,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(131,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,5}:{(114,1),(115,1),(136,1)}
       128:{3,4,7}:{(114,1),(116,1),(138,1),(142,1),(148,1)}
       129:{2,5,6}:{(115,1),(117,1),(124,1),(137,1),(139,1),(140,1)}
       130:{2,5,7}:{(115,1),(116,1),(118,1),(138,1),(140,1)}
       131:{1,5,7}:{(117,1),(119,1),(125,1),(139,1),(141,1)}
       132:{1,6}:{(118,1),(120,1),(140,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(139,1),(142,1),(148,1)}
       136:{4,5}:{(127,1),(143,1)}
       137:{3,5,6}:{(127,1),(129,1),(134,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       139:{2,5,7}:{(129,1),(131,1),(135,1),(145,1),(147,1)}
       140:{2,6}:{(130,1),(132,1),(146,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 574 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 575 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 576 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 577 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(36,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(55,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(56,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(36,1),(46,1),(69,1),(83,1),(103,1),(104,1),(126,1),(137,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(75,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(69,1),(113,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(29,1),(49,1),(55,1),(64,1),(87,1),(88,1),(99,1),(115,1),(119,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(116,1),(117,1),(132,1)}
        12:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(56,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(21,1),(25,1),(27,1),(28,1),(51,1),(59,1),(87,1),(88,1),(116,1),(117,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,6,7}:{(12,1),(31,1),(32,1),(33,1),(67,1),(69,1),(103,1)}
        20:{2,4,5,7}:{(10,1),(13,1),(34,1),(35,1),(36,1),(42,1),(66,1),(70,1),(81,1),(83,1),(101,1),(103,1),(106,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(15,1),(34,1),(36,1),(37,1),(45,1),(114,1),(124,1)}
        22:{1,4,6}:{(10,1),(12,1),(35,1),(37,1),(38,1),(75,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(33,1),(38,1),(39,1),(126,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(36,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(37,1),(41,1),(44,1),(45,1),(71,1),(77,1),(79,1),(81,1),(105,1),(110,1),(112,1),(113,1),(125,1),(128,1),(137,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{1,4,6,7}:{(19,1),(22,1),(47,1),(48,1),(49,1),(85,1),(87,1),(115,1)}
        32:{3,6,7}:{(19,1),(23,1),(50,1),(116,1)}
        33:{2,5,7}:{(19,1),(24,1),(49,1),(50,1)}
        34:{3,5,7}:{(20,1),(25,1),(51,1),(53,1),(61,1),(90,1),(100,1),(116,1)}
        35:{2,4,6}:{(20,1),(22,1),(53,1),(54,1),(56,1),(93,1)}
        36:{2,5,7}:{(21,1),(27,1),(55,1),(56,1),(63,1),(123,1),(131,1)}
        37:{1,3,6}:{(21,1),(22,1),(23,1),(53,1),(56,1)}
        38:{1,5,6}:{(22,1),(24,1),(29,1),(49,1),(54,1),(119,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(50,1),(58,1),(132,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(116,1),(117,1),(131,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(55,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(90,1),(100,1),(119,1),(132,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{2,4,6,7}:{(31,1),(35,1),(65,1),(66,1),(67,1),(101,1),(103,1)}
        48:{1,3,6,7}:{(31,1),(32,1),(37,1),(65,1),(67,1),(68,1),(124,1)}
        49:{1,5,7}:{(31,1),(33,1),(38,1),(66,1)}
        50:{3,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{3,4,7}:{(34,1),(70,1),(71,1),(81,1),(101,1),(113,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(40,1),(70,1),(72,1),(73,1),(80,1),(106,1)}
        53:{3,6}:{(34,1),(35,1)}
        54:{2,5,6}:{(35,1),(38,1),(42,1),(66,1),(74,1),(106,1)}
        55:{1,5,7}:{(36,1),(43,1),(75,1),(82,1),(130,1),(136,1)}
        56:{2,6}:{(36,1),(37,1),(75,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(39,1),(45,1),(68,1),(74,1),(76,1),(77,1),(110,1)}
        58:{4,6}:{(39,1),(46,1),(69,1),(137,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(136,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(125,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(75,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(77,1),(81,1),(83,1),(107,1),(112,1),(130,1),(137,1)}
        65:{3,6,7}:{(47,1),(53,1),(84,1),(116,1)}
        66:{2,5,7}:{(47,1),(49,1),(54,1),(84,1)}
        67:{2,6,7}:{(48,1),(56,1),(85,1),(86,1),(131,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(50,1),(57,1),(84,1),(86,1),(87,1),(116,1)}
        69:{4,7}:{(50,1),(58,1)}
        70:{2,4,7}:{(51,1),(52,1),(88,1),(89,1),(98,1)}
        71:{3,4,6}:{(51,1),(53,1),(89,1),(90,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(55,1),(59,1),(88,1),(91,1),(92,1),(97,1),(117,1),(119,1),(132,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(89,1),(92,1)}
        74:{3,5,6}:{(53,1),(54,1),(61,1),(84,1),(90,1),(93,1)}
        75:{1,6}:{(55,1),(56,1)}
        76:{2,5,6}:{(56,1),(57,1),(63,1),(86,1),(94,1),(95,1)}
        77:{1,4,6}:{(57,1),(58,1),(64,1),(87,1),(93,1),(95,1),(133,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(132,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{3,5,7}:{(65,1),(66,1),(74,1),(101,1)}
        85:{1,6,7}:{(67,1),(75,1),(102,1),(136,1)}
        86:{2,5,7}:{(67,1),(68,1),(76,1),(102,1),(103,1)}
        87:{1,4,7}:{(68,1),(69,1),(77,1),(101,1),(103,1),(136,1)}
        88:{1,4,7}:{(70,1),(72,1),(104,1),(105,1),(112,1),(137,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(105,1),(106,1)}
        90:{3,5}:{(71,1),(106,1),(107,1)}
        91:{2,5,7}:{(72,1),(78,1),(104,1),(108,1),(111,1),(126,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(108,1),(125,1)}
        93:{4,6}:{(74,1),(81,1),(101,1),(107,1)}
        94:{1,5,6}:{(75,1),(76,1),(82,1),(102,1),(109,1)}
        95:{2,4,6}:{(76,1),(77,1),(83,1),(103,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(137,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{4,7}:{(84,1),(93,1)}
       102:{1,5,7}:{(85,1),(86,1),(94,1),(115,1)}
       103:{2,4,7}:{(86,1),(87,1),(95,1),(115,1),(116,1),(131,1)}
       104:{2,4,7}:{(88,1),(91,1),(117,1),(118,1),(121,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(118,1),(119,1)}
       106:{2,5}:{(89,1),(90,1),(119,1)}
       107:{4,5}:{(90,1),(93,1)}
       108:{2,6}:{(91,1),(92,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(115,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(116,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{1,4,7}:{(102,1),(103,1),(109,1),(124,1)}
       116:{3,7}:{(103,1),(110,1)}
       117:{3,7}:{(104,1),(125,1),(128,1)}
       118:{2,4,6}:{(104,1),(105,1),(108,1),(125,1),(126,1),(137,1)}
       119:{1,5}:{(105,1),(106,1),(126,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(124,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{1,3,7}:{(115,1),(116,1),(120,1),(131,1)}
       125:{3,6}:{(117,1),(118,1),(132,1)}
       126:{2,5}:{(118,1),(119,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(131,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{2,7}:{(124,1),(127,1),(136,1)}
       132:{3,5}:{(125,1),(126,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(136,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{1,7}:{(131,1),(133,1)}
       137:{4}:{(132,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 578 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(30,1),(39,1),(41,1),(47,1),(73,1),(85,1),(95,1),(157,1),(159,1),(213,1),(223,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(120,1),(132,1),(191,1),(194,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(51,1),(105,1),(131,1),(179,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(223,1),(225,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(73,1),(86,1),(158,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(214,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(79,1),(141,1),(213,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(80,1),(94,1),(142,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(54,1),(66,1),(110,1),(124,1),(125,1),(132,1),(180,1),(182,1),(184,1),(194,1),(244,1),(249,1),(288,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(105,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(244,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(191,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(114,1),(178,1),(259,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(39,1),(73,1),(81,1),(89,1),(139,1),(145,1),(159,1),(210,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(31,1),(33,1),(74,1),(97,1),(144,1),(146,1),(166,1),(214,1),(273,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(102,1),(139,1),(145,1),(169,1),(225,1),(269,1),(270,1),(298,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(73,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(141,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(142,1),(158,1),(165,1),(166,1),(168,1),(214,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(132,1),(194,1),(199,1),(244,1),(288,1),(307,1)}
        30:{1,4,5,7}:{(16,1),(19,1),(48,1),(51,1),(62,1),(114,1),(124,1),(171,1),(180,1),(235,1)}
        31:{2,4,6}:{(16,1),(17,1),(49,1),(51,1),(53,1),(105,1)}
        32:{1,3,4,6,7}:{(17,1),(52,1),(54,1),(106,1),(119,1),(180,1),(182,1),(190,1),(244,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(53,1),(54,1),(55,1),(118,1),(184,1)}
        34:{1,3,4,7}:{(18,1),(19,1),(48,1),(56,1),(57,1),(59,1),(120,1),(171,1),(180,1),(203,1),(244,1),(289,1),(309,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(175,1),(193,1),(243,1),(245,1),(254,1),(284,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(56,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(105,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(178,1),(199,1),(201,1),(244,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(193,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(34,1),(73,1),(74,1),(88,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(31,1),(74,1),(166,1),(214,1),(230,1),(302,1),(312,1)}
        50:{1,2,4,5,7}:{(30,1),(36,1),(73,1),(77,1),(78,1),(91,1),(139,1),(150,1),(159,1),(161,1),(210,1),(213,1),(218,1),(219,1),(267,1),(313,1)}
        51:{1,4,6}:{(30,1),(31,1),(74,1),(80,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(75,1),(79,1),(81,1),(141,1),(145,1),(213,1)}
        53:{2,5,6}:{(31,1),(33,1),(39,1),(80,1),(81,1),(210,1)}
        54:{1,3,5,7}:{(32,1),(33,1),(81,1),(84,1),(155,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(82,1),(84,1),(97,1),(144,1),(218,1),(222,1),(273,1)}
        56:{2,4,7}:{(34,1),(73,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(37,1),(74,1),(87,1),(88,1),(90,1),(144,1),(156,1),(161,1),(170,1),(204,1),(214,1),(223,1),(225,1),(271,1),(277,1),(299,1)}
        58:{2,3,5}:{(35,1),(39,1),(88,1),(89,1),(96,1),(165,1),(210,1),(268,1),(297,1)}
        59:{1,3,7}:{(36,1),(86,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(87,1),(90,1),(91,1),(161,1),(299,1),(301,1),(304,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(141,1),(230,1),(274,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(142,1),(165,1),(222,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(214,1),(225,1)}
        73:{2,5,7}:{(48,1),(56,1),(105,1),(123,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(105,1),(258,1),(314,1)}
        75:{2,3,6,7}:{(49,1),(52,1),(106,1),(108,1),(190,1),(244,1),(250,1)}
        76:{2,3,5,6}:{(49,1),(53,1),(58,1),(107,1),(108,1),(109,1),(118,1),(189,1),(245,1)}
        77:{1,3,5,7}:{(50,1),(59,1),(104,1),(110,1),(111,1),(126,1),(184,1),(194,1),(244,1),(288,1)}
        78:{1,2,4,6}:{(50,1),(51,1),(105,1),(111,1),(113,1),(175,1),(179,1),(186,1),(287,1),(314,1)}
        79:{1,4,6,7}:{(51,1),(52,1),(106,1),(114,1),(180,1)}
        80:{1,5,6}:{(51,1),(53,1),(62,1),(114,1),(235,1)}
        81:{2,5,7}:{(52,1),(53,1),(54,1),(114,1)}
        82:{2,4,5,6}:{(53,1),(55,1),(64,1),(109,1),(115,1),(117,1),(118,1),(131,1),(179,1),(189,1),(241,1),(287,1)}
        83:{1,3,5,6,7}:{(54,1),(65,1),(116,1),(119,1),(190,1),(248,1)}
        84:{1,4,5,7}:{(54,1),(55,1),(117,1),(119,1),(180,1),(251,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(171,1),(203,1),(259,1)}
        86:{2,3,7}:{(56,1),(59,1),(120,1),(122,1),(244,1)}
        87:{2,4,6}:{(56,1),(57,1),(105,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(62,1),(123,1),(124,1),(194,1),(200,1),(235,1),(308,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{1,3,6}:{(59,1),(60,1),(122,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(123,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(178,1),(199,1),(251,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(179,1),(247,1),(290,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(244,1)}
       103:{1,2,5,7}:{(73,1),(85,1),(137,1),(138,1),(157,1),(231,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(86,1),(137,1),(139,1),(140,1),(158,1),(210,1)}
       105:{2,6}:{(73,1),(74,1)}
       106:{1,3,6,7}:{(74,1),(75,1),(79,1),(141,1),(143,1),(274,1)}
       107:{1,3,5,6}:{(74,1),(76,1),(80,1),(88,1),(142,1),(143,1),(144,1),(214,1),(222,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(76,1),(81,1),(143,1),(145,1),(155,1),(221,1),(270,1)}
       109:{2,4,6}:{(76,1),(89,1),(144,1),(145,1),(146,1)}
       110:{1,3,4,7}:{(77,1),(139,1),(147,1),(161,1),(219,1),(225,1),(269,1)}
       111:{1,3,6}:{(77,1),(78,1),(140,1),(214,1),(302,1)}
       112:{1,2,4,6,7}:{(78,1),(79,1),(141,1),(148,1),(150,1),(209,1),(213,1),(219,1)}
       113:{1,2,5,6}:{(78,1),(80,1),(91,1),(142,1),(149,1),(150,1),(210,1),(266,1),(301,1)}
       114:{1,5,7}:{(79,1),(80,1),(81,1)}
       115:{1,4,5,6}:{(80,1),(82,1),(93,1),(144,1),(152,1),(153,1),(163,1),(261,1),(295,1)}
       116:{2,5,6,7}:{(81,1),(83,1),(94,1),(151,1),(154,1),(266,1)}
       117:{2,4,5,7}:{(81,1),(82,1),(84,1),(145,1),(152,1),(154,1),(155,1),(213,1),(221,1)}
       118:{3,5,6}:{(82,1),(96,1),(146,1),(155,1),(166,1),(214,1),(268,1),(302,1)}
       119:{1,4,6,7}:{(83,1),(84,1),(97,1),(154,1),(273,1),(274,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(204,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(90,1),(156,1),(158,1),(214,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(144,1),(159,1),(161,1),(223,1)}
       125:{3,4,5}:{(89,1),(96,1),(146,1),(225,1),(268,1)}
       126:{1,3,5}:{(90,1),(91,1),(158,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(159,1),(161,1),(162,1),(165,1),(227,1),(228,1),(278,1),(304,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(213,1),(272,1),(303,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(214,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(120,1),(171,1),(172,1),(191,1),(235,1)}
       138:{1,2,6}:{(103,1),(105,1),(172,1),(258,1)}
       139:{2,4,7}:{(104,1),(110,1),(171,1),(175,1),(193,1)}
       140:{2,3,6}:{(104,1),(105,1),(111,1),(172,1),(175,1)}
       141:{2,6,7}:{(105,1),(106,1),(178,1)}
       142:{2,5,6}:{(105,1),(107,1),(123,1),(178,1),(179,1),(290,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(108,1),(114,1),(178,1),(180,1),(244,1),(251,1),(289,1)}
       144:{1,4,6}:{(107,1),(109,1),(124,1),(179,1),(180,1)}
       145:{2,4,7}:{(108,1),(109,1),(180,1),(182,1)}
       146:{3,4,6}:{(109,1),(118,1),(125,1),(182,1)}
       147:{1,3,4,6}:{(110,1),(111,1),(175,1),(184,1),(186,1),(243,1)}
       148:{1,3,6,7}:{(111,1),(112,1),(176,1),(185,1),(244,1),(314,1)}
       149:{1,3,5,6}:{(111,1),(113,1),(126,1),(177,1),(184,1),(185,1),(186,1),(286,1),(308,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(114,1),(178,1),(185,1),(240,1),(310,1)}
       151:{1,5,6,7}:{(114,1),(116,1),(128,1),(187,1),(280,1)}
       152:{1,4,5,7}:{(114,1),(115,1),(117,1),(180,1),(187,1),(188,1)}
       153:{1,3,5,6}:{(115,1),(118,1),(130,1),(181,1),(188,1),(189,1),(198,1),(282,1),(306,1)}
       154:{2,4,6,7}:{(116,1),(117,1),(119,1),(131,1),(187,1),(190,1),(250,1),(287,1)}
       155:{3,5,7}:{(117,1),(118,1),(182,1),(190,1),(244,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(235,1)}
       158:{2,3,5}:{(122,1),(123,1),(126,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(179,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(130,1),(181,1),(194,1),(195,1),(196,1),(252,1),(255,1),(282,1)}
       161:{1,4}:{(126,1),(193,1)}
       162:{1,3,5}:{(127,1),(134,1),(194,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(244,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(290,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(139,1),(204,1),(223,1)}
       172:{1,3,6}:{(137,1),(138,1),(140,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(141,1),(205,1),(207,1),(274,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(142,1),(157,1),(206,1),(207,1),(208,1),(222,1),(297,1),(312,1)}
       175:{2,4,6}:{(139,1),(140,1),(147,1),(204,1),(210,1)}
       176:{2,3,6,7}:{(140,1),(141,1),(148,1),(205,1),(209,1),(211,1),(302,1),(312,1)}
       177:{2,3,5,6}:{(140,1),(142,1),(149,1),(158,1),(206,1),(210,1),(211,1),(212,1),(214,1),(265,1),(266,1),(268,1),(297,1),(302,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(143,1),(213,1),(303,1)}
       179:{2,4,6}:{(142,1),(144,1),(159,1),(213,1),(214,1)}
       180:{1,4,7}:{(143,1),(144,1),(145,1),(213,1)}
       181:{1,3,4,6}:{(144,1),(146,1),(153,1),(160,1),(214,1),(215,1),(216,1),(271,1)}
       182:{3,4,7}:{(145,1),(146,1),(155,1)}
       183:{1,3,4,6,7}:{(147,1),(148,1),(209,1),(217,1),(219,1),(269,1),(273,1),(302,1)}
       184:{1,3,5}:{(147,1),(210,1),(218,1),(268,1)}
       185:{1,3,5,7}:{(148,1),(149,1),(150,1),(211,1),(219,1),(300,1),(313,1)}
       186:{1,4,6}:{(149,1),(161,1),(212,1),(218,1),(219,1)}
       187:{1,4,6,7}:{(151,1),(152,1),(154,1),(163,1),(220,1),(295,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(155,1),(215,1),(220,1),(221,1)}
       189:{2,5,6}:{(153,1),(165,1),(216,1),(221,1),(222,1),(230,1),(297,1),(312,1)}
       190:{3,6,7}:{(154,1),(155,1),(166,1),(302,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(261,1),(275,1),(278,1),(279,1),(297,1)}
       193:{2,4}:{(158,1),(161,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(214,1),(225,1)}
       195:{2,4,5}:{(160,1),(165,1),(216,1),(226,1),(227,1),(228,1),(275,1),(278,1),(297,1)}
       196:{1,3,4}:{(161,1),(162,1),(225,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(278,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(175,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(176,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(177,1),(191,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(178,1),(236,1),(238,1),(251,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(179,1),(192,1),(237,1),(238,1),(239,1),(247,1),(284,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(176,1),(183,1),(234,1),(240,1),(242,1),(287,1)}
       210:{2,5}:{(175,1),(184,1),(235,1)}
       211:{2,3,5,7}:{(176,1),(177,1),(178,1),(185,1),(236,1),(240,1),(242,1),(244,1),(285,1),(288,1),(307,1)}
       212:{2,4,6}:{(177,1),(186,1),(193,1),(237,1),(241,1),(242,1),(243,1)}
       213:{2,4,7}:{(178,1),(179,1),(180,1),(244,1)}
       214:{3,6}:{(179,1),(194,1),(244,1)}
       215:{1,3,4,7}:{(180,1),(181,1),(182,1),(188,1),(244,1),(246,1),(289,1)}
       216:{2,4,6}:{(181,1),(189,1),(195,1),(245,1),(246,1),(247,1),(290,1)}
       217:{1,3,5,7}:{(183,1),(184,1),(240,1),(248,1),(249,1),(288,1)}
       218:{1,4,5}:{(184,1),(186,1),(241,1),(308,1)}
       219:{1,4,7}:{(185,1),(186,1),(242,1)}
       220:{1,3,6,7}:{(187,1),(188,1),(190,1),(198,1),(250,1),(306,1)}
       221:{2,5,7}:{(188,1),(189,1),(246,1),(250,1),(251,1)}
       222:{1,5,6}:{(189,1),(200,1),(247,1),(251,1),(258,1),(308,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(245,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(256,1),(291,1),(308,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(209,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(210,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(211,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(212,1),(223,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(213,1),(262,1),(264,1),(272,1),(298,1),(303,1)}
       239:{1,3,6}:{(208,1),(214,1),(224,1),(264,1),(265,1)}
       240:{2,5,7}:{(209,1),(210,1),(217,1),(260,1),(266,1)}
       241:{2,4,5}:{(210,1),(212,1),(218,1),(261,1),(268,1),(297,1)}
       242:{2,4,7}:{(211,1),(212,1),(219,1),(262,1),(269,1)}
       243:{3,4,6}:{(212,1),(214,1),(225,1),(268,1),(269,1),(302,1)}
       244:{3,7}:{(213,1),(214,1)}
       245:{2,3,6}:{(214,1),(216,1),(226,1),(270,1),(271,1)}
       246:{2,4,7}:{(215,1),(216,1),(221,1),(270,1),(272,1),(303,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(271,1),(272,1)}
       248:{1,3,5,6}:{(217,1),(266,1),(273,1),(302,1)}
       249:{1,4,5,7}:{(217,1),(218,1),(219,1),(267,1),(273,1),(313,1)}
       250:{2,6,7}:{(220,1),(221,1),(230,1),(274,1),(312,1)}
       251:{1,5,7}:{(221,1),(222,1),(272,1),(274,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(297,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(228,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(271,1),(277,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(278,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(235,1),(240,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(241,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(242,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(243,1),(252,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(244,1),(285,1)}
       265:{2,3,6}:{(239,1),(253,1),(284,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(248,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(242,1),(249,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,5}:{(241,1),(243,1)}
       269:{3,4,7}:{(242,1),(243,1),(244,1),(288,1)}
       270:{2,3,7}:{(244,1),(245,1),(246,1),(289,1)}
       271:{1,3,6}:{(245,1),(247,1),(255,1),(289,1),(290,1)}
       272:{1,4,7}:{(246,1),(247,1),(251,1),(289,1)}
       273:{1,4,6}:{(248,1),(249,1),(287,1),(314,1)}
       274:{1,6,7}:{(250,1),(251,1),(258,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(308,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(256,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(267,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(268,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(269,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(275,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(303,1)}
       286:{1,3,6}:{(265,1),(276,1),(299,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(273,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(269,1),(302,1)}
       289:{1,3,7}:{(270,1),(271,1),(272,1),(303,1)}
       290:{2,6}:{(271,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(288,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(291,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(310,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(303,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 579 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(65,1),(120,1),(150,1),(210,1),(224,1),(228,1),(318,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(18,1),(22,1),(52,1),(65,1),(119,1),(137,1),(228,1),(233,1),(316,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(37,1),(105,1),(106,1),(175,1),(178,1),(275,1),(277,1),(352,1),(401,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1),(39,1),(82,1),(164,1),(254,1)}
         4:{1,2,5,7}:{(0,1),(8,1),(11,1),(12,1),(104,1),(168,1),(259,1),(272,1)}
         5:{1,3,5}:{(1,1),(9,1),(10,1),(13,1),(184,1),(279,1)}
         6:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(23,1),(59,1),(65,1),(128,1),(131,1),(142,1),(143,1),(150,1),(210,1),(230,1),(237,1),(298,1),(324,1),(382,1),(383,1)}
         7:{1,4,6}:{(2,1),(16,1),(18,1),(20,1),(316,1)}
         8:{1,3,5,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(24,1),(70,1),(225,1),(229,1)}
         9:{1,3,4}:{(5,1),(22,1),(316,1),(319,1)}
        10:{1,3,6}:{(3,1),(5,1),(23,1),(24,1),(298,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(24,1),(69,1),(125,1),(215,1),(299,1)}
        12:{1,2,6,7}:{(4,1),(21,1),(150,1),(219,1),(305,1),(318,1)}
        13:{2,3,5}:{(5,1),(22,1),(23,1),(25,1),(65,1),(119,1),(147,1)}
        14:{1,3,4,5}:{(9,1),(27,1),(28,1),(37,1),(78,1),(94,1),(172,1),(185,1),(267,1),(279,1)}
        15:{1,3,5,6}:{(6,1),(29,1),(30,1),(31,1),(43,1),(86,1),(89,1),(103,1),(180,1),(181,1),(195,1),(197,1),(288,1),(357,1)}
        16:{2,4,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(34,1),(284,1),(403,1)}
        17:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1),(44,1),(96,1),(101,1),(104,1),(176,1),(179,1),(259,1),(336,1),(395,1)}
        18:{1,4,5}:{(7,1),(32,1),(37,1),(178,1),(401,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(10,1),(33,1),(37,1),(39,1),(40,1),(105,1)}
        20:{1,4,7}:{(7,1),(8,1),(34,1)}
        21:{1,3,6,7}:{(8,1),(12,1),(35,1),(41,1),(105,1),(277,1),(352,1)}
        22:{2,4}:{(9,1),(13,1),(42,1)}
        23:{2,3,6}:{(10,1),(13,1),(39,1),(43,1),(44,1),(164,1)}
        24:{1,3,7}:{(10,1),(11,1),(44,1),(336,1)}
        25:{1,3,5}:{(13,1),(42,1),(43,1),(45,1),(103,1),(109,1)}
        26:{1,4,5,6}:{(18,1),(46,1),(48,1),(49,1),(67,1),(201,1),(207,1),(308,1),(322,1),(374,1)}
        27:{1,3,4,6}:{(14,1),(48,1),(50,1),(51,1),(113,1),(117,1),(207,1),(298,1)}
        28:{2,4,5}:{(14,1),(22,1),(47,1),(50,1),(52,1),(65,1),(119,1),(216,1),(306,1)}
        29:{1,2,5,6}:{(15,1),(53,1),(54,1),(72,1),(131,1),(148,1),(201,1),(210,1),(230,1),(244,1)}
        30:{1,4,6}:{(15,1),(16,1),(55,1),(57,1),(242,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(54,1),(57,1),(58,1),(73,1),(129,1),(136,1),(149,1)}
        32:{2,4,5}:{(16,1),(18,1),(55,1),(59,1),(65,1),(131,1),(383,1),(415,1)}
        33:{3,4,6}:{(16,1),(59,1),(62,1),(142,1),(298,1),(319,1)}
        34:{2,4,7}:{(16,1),(17,1),(20,1),(57,1),(62,1),(413,1)}
        35:{2,3,6,7}:{(17,1),(21,1),(58,1),(63,1),(142,1),(150,1),(230,1),(305,1),(324,1),(369,1)}
        36:{2,3,4}:{(22,1),(47,1),(64,1),(147,1),(216,1),(319,1)}
        37:{1,3,5}:{(18,1),(19,1),(59,1),(65,1)}
        38:{1,4,5,7}:{(18,1),(20,1),(60,1),(66,1),(67,1),(70,1),(229,1)}
        39:{2,4,6}:{(19,1),(22,1),(23,1),(65,1),(68,1),(69,1),(150,1)}
        40:{1,3,4,7}:{(19,1),(20,1),(24,1),(62,1),(66,1),(69,1)}
        41:{1,4,6,7}:{(20,1),(21,1),(63,1),(67,1),(70,1),(380,1)}
        42:{1,4}:{(22,1),(25,1)}
        43:{1,3,6}:{(23,1),(25,1),(68,1),(72,1),(73,1)}
        44:{2,3,7}:{(23,1),(24,1),(69,1),(73,1),(215,1)}
        45:{1,2,5}:{(25,1),(71,1),(72,1),(119,1)}
        46:{2,4,5,6}:{(26,1),(32,1),(74,1),(75,1),(76,1),(79,1),(97,1),(154,1),(158,1),(254,1),(282,1),(283,1),(339,1),(355,1),(396,1),(403,1)}
        47:{2,3,5}:{(28,1),(36,1),(77,1),(78,1),(279,1)}
        48:{1,3,5,6}:{(26,1),(27,1),(37,1),(75,1),(79,1),(80,1),(105,1),(267,1),(345,1)}
        49:{1,4,5,7}:{(26,1),(76,1),(80,1),(81,1),(249,1),(255,1),(338,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(79,1),(82,1),(83,1),(164,1)}
        51:{1,3,4,7}:{(27,1),(80,1),(83,1),(159,1),(165,1),(255,1),(336,1)}
        52:{1,4,5}:{(28,1),(42,1),(78,1),(82,1),(103,1),(253,1),(333,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(85,1),(86,1),(87,1),(91,1),(246,1),(254,1),(326,1)}
        54:{1,2,5,7}:{(29,1),(31,1),(87,1),(88,1),(110,1),(179,1),(249,1),(259,1)}
        55:{1,4,5}:{(30,1),(32,1),(89,1),(103,1),(357,1)}
        56:{1,3,4,6}:{(30,1),(33,1),(86,1),(89,1),(91,1),(92,1),(173,1),(180,1)}
        57:{1,4,7}:{(30,1),(31,1),(34,1)}
        58:{1,3,6,7}:{(31,1),(35,1),(88,1),(93,1),(180,1),(197,1),(288,1)}
        59:{3,5}:{(32,1),(33,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(38,1),(90,1),(96,1),(97,1),(101,1),(104,1),(179,1),(194,1)}
        61:{2,3,4,6}:{(33,1),(36,1),(39,1),(77,1),(91,1),(95,1),(98,1),(99,1),(158,1),(190,1),(192,1),(245,1),(262,1),(269,1),(284,1),(335,1),(356,1),(386,1)}
        62:{3,4,7}:{(33,1),(34,1),(96,1),(336,1)}
        63:{2,4,6,7}:{(34,1),(35,1),(41,1),(93,1),(97,1),(100,1),(101,1),(356,1)}
        64:{1,3,4}:{(36,1),(42,1),(78,1),(102,1),(109,1),(184,1),(253,1)}
        65:{2,5}:{(37,1),(39,1),(103,1)}
        66:{1,3,5,7}:{(37,1),(38,1),(40,1),(96,1),(104,1),(105,1)}
        67:{1,4,6}:{(38,1),(97,1),(105,1),(106,1),(277,1)}
        68:{1,4,6}:{(39,1),(42,1),(43,1),(103,1),(108,1),(197,1)}
        69:{2,4,7}:{(39,1),(40,1),(44,1),(104,1),(108,1)}
        70:{1,5,7}:{(41,1),(101,1),(106,1),(401,1)}
        71:{1,2,4}:{(42,1),(45,1),(102,1),(109,1)}
        72:{1,2,6}:{(43,1),(45,1),(110,1),(164,1)}
        73:{1,3,7}:{(43,1),(44,1),(108,1),(110,1)}
        74:{1,4,5,6}:{(46,1),(55,1),(111,1),(112,1),(120,1),(133,1),(207,1),(322,1),(363,1),(409,1)}
        75:{3,5,6}:{(46,1),(59,1),(113,1),(115,1),(142,1),(298,1),(367,1),(411,1)}
        76:{2,4,5,7}:{(46,1),(49,1),(112,1),(115,1),(116,1),(121,1),(202,1),(208,1),(299,1),(301,1),(302,1),(370,1),(413,1)}
        77:{2,3,6}:{(47,1),(50,1),(117,1),(118,1),(298,1)}
        78:{1,3,5}:{(47,1),(52,1),(64,1),(117,1),(119,1)}
        79:{2,5,6}:{(48,1),(50,1),(65,1),(120,1),(121,1),(150,1),(306,1),(373,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(51,1),(115,1),(121,1),(122,1)}
        81:{1,4,6,7}:{(49,1),(67,1),(116,1),(122,1),(123,1),(295,1),(374,1)}
        82:{1,4,6}:{(50,1),(52,1),(117,1),(120,1),(125,1)}
        83:{2,4,7}:{(50,1),(51,1),(118,1),(121,1),(125,1),(215,1)}
        84:{1,2,4,5}:{(52,1),(71,1),(119,1),(124,1),(126,1),(148,1),(216,1),(233,1),(242,1),(306,1),(308,1)}
        85:{1,2,4,5}:{(53,1),(55,1),(127,1),(131,1),(148,1),(222,1),(227,1),(233,1),(242,1),(314,1),(376,1)}
        86:{1,3,6}:{(53,1),(127,1),(128,1),(129,1),(298,1)}
        87:{1,2,4,7}:{(53,1),(54,1),(57,1),(129,1),(135,1),(292,1),(299,1),(360,1)}
        88:{1,2,6,7}:{(54,1),(58,1),(230,1),(244,1),(295,1),(305,1)}
        89:{1,3,5}:{(55,1),(56,1),(59,1),(131,1)}
        90:{1,4,5,7}:{(55,1),(57,1),(60,1),(132,1),(133,1),(136,1),(149,1)}
        91:{2,4,6}:{(56,1),(128,1),(131,1),(134,1),(135,1),(222,1),(230,1)}
        92:{1,3,4,7}:{(56,1),(57,1),(62,1),(129,1),(132,1),(135,1)}
        93:{1,4,6,7}:{(57,1),(58,1),(63,1),(133,1),(136,1),(325,1)}
        94:{3,4,5}:{(59,1),(113,1),(138,1),(319,1),(367,1),(415,1)}
        95:{2,3,5}:{(59,1),(61,1),(65,1),(131,1),(138,1),(140,1),(306,1),(367,1),(383,1),(406,1)}
        96:{3,5,7}:{(59,1),(60,1),(62,1),(142,1)}
        97:{2,4,6}:{(60,1),(67,1),(133,1),(142,1),(143,1),(150,1),(230,1),(240,1)}
        98:{1,3,4,6}:{(61,1),(64,1),(68,1),(117,1),(134,1),(140,1),(144,1),(145,1),(151,1),(207,1),(231,1),(239,1),(242,1),(289,1),(296,1),(298,1),(312,1),(316,1),(319,1),(325,1),(380,1),(381,1),(404,1)}
        99:{2,3,4,7}:{(61,1),(62,1),(69,1),(118,1),(135,1),(141,1),(145,1),(208,1),(241,1),(290,1),(307,1),(323,1),(368,1),(407,1)}
       100:{3,4,6,7}:{(62,1),(63,1),(142,1),(146,1),(240,1),(369,1),(381,1),(413,1)}
       101:{2,5,7}:{(63,1),(70,1),(136,1),(143,1),(146,1),(383,1)}
       102:{2,4}:{(64,1),(119,1),(147,1)}
       103:{1,5}:{(65,1),(68,1)}
       104:{2,5,7}:{(65,1),(66,1),(69,1),(149,1),(150,1)}
       105:{1,3,6}:{(66,1),(67,1),(142,1),(150,1)}
       106:{1,5,6}:{(67,1),(70,1),(143,1)}
       107:{1,2,4,6}:{(68,1),(71,1),(72,1),(144,1),(148,1),(151,1),(152,1),(242,1),(244,1),(325,1),(358,1),(376,1),(404,1)}
       108:{1,4,7}:{(68,1),(69,1),(73,1),(149,1)}
       109:{1,3}:{(71,1),(147,1)}
       110:{1,2,7}:{(72,1),(73,1),(215,1)}
       111:{1,3,5,6}:{(74,1),(75,1),(89,1),(153,1),(154,1),(155,1),(180,1),(388,1),(419,1)}
       112:{1,4,5,7}:{(74,1),(76,1),(155,1),(156,1),(168,1),(255,1),(338,1)}
       113:{3,4,6}:{(75,1),(94,1),(158,1),(159,1),(403,1)}
       114:{2,3,5,6}:{(75,1),(77,1),(79,1),(95,1),(154,1),(158,1),(160,1),(161,1),(190,1),(245,1),(282,1)}
       115:{3,5,7}:{(75,1),(76,1),(159,1),(162,1),(336,1)}
       116:{2,4,6,7}:{(76,1),(81,1),(97,1),(156,1),(162,1),(163,1),(169,1),(250,1),(261,1),(396,1)}
       117:{1,3,6}:{(77,1),(78,1),(82,1),(164,1),(165,1)}
       118:{2,3,7}:{(77,1),(83,1),(165,1),(336,1)}
       119:{2,5}:{(78,1),(102,1),(164,1)}
       120:{1,5,6}:{(79,1),(82,1),(103,1),(168,1),(197,1),(333,1),(392,1)}
       121:{2,5,7}:{(79,1),(80,1),(83,1),(168,1),(169,1)}
       122:{1,3,6,7}:{(80,1),(81,1),(105,1),(162,1),(169,1),(345,1)}
       123:{1,5,6,7}:{(81,1),(106,1),(163,1),(338,1),(398,1)}
       124:{1,2,4,6}:{(82,1),(84,1),(164,1),(167,1),(170,1),(171,1),(254,1),(262,1),(264,1)}
       125:{1,4,7}:{(82,1),(83,1),(165,1),(168,1)}
       126:{1,3,5}:{(84,1),(109,1),(166,1),(170,1),(172,1),(279,1)}
       127:{1,3,5}:{(85,1),(86,1),(173,1),(174,1),(279,1),(399,1)}
       128:{2,3,6}:{(86,1),(91,1),(174,1),(175,1),(176,1),(326,1)}
       129:{1,3,7}:{(86,1),(87,1),(176,1),(336,1)}
       130:{1,3,4,5}:{(89,1),(94,1),(153,1),(173,1),(177,1),(185,1),(273,1),(279,1),(350,1),(388,1)}
       131:{2,5}:{(89,1),(91,1),(178,1)}
       132:{1,3,5,7}:{(89,1),(90,1),(92,1),(96,1),(179,1),(180,1)}
       133:{1,4,6}:{(90,1),(97,1),(180,1),(181,1),(197,1)}
       134:{1,4,6}:{(91,1),(175,1),(178,1),(183,1),(270,1),(277,1)}
       135:{2,4,7}:{(91,1),(92,1),(176,1),(179,1),(183,1)}
       136:{1,5,7}:{(93,1),(101,1),(181,1),(357,1)}
       137:{1,2,4}:{(102,1),(157,1),(184,1),(253,1)}
       138:{2,4,5}:{(94,1),(95,1),(158,1),(185,1),(284,1)}
       139:{3,4,5,7}:{(94,1),(96,1),(159,1),(186,1),(187,1),(194,1),(257,1),(353,1),(393,1),(402,1),(422,1)}
       140:{1,3,5}:{(95,1),(98,1),(103,1),(178,1),(185,1),(188,1),(279,1),(333,1),(357,1),(401,1),(402,1),(416,1)}
       141:{2,3,5,7}:{(95,1),(96,1),(99,1),(104,1),(179,1),(186,1),(189,1),(190,1),(342,1),(393,1),(418,1)}
       142:{3,6}:{(96,1),(97,1)}
       143:{2,5,6}:{(97,1),(101,1),(106,1),(181,1),(191,1)}
       144:{2,4,6}:{(98,1),(102,1),(164,1),(188,1),(192,1),(193,1),(284,1),(286,1),(326,1),(346,1)}
       145:{1,3,4,7}:{(98,1),(99,1),(108,1),(165,1),(183,1),(189,1),(193,1),(198,1),(255,1),(278,1),(287,1),(327,1),(334,1),(336,1),(351,1),(353,1),(417,1)}
       146:{3,5,7}:{(100,1),(101,1),(191,1),(194,1),(402,1)}
       147:{2,3}:{(102,1),(109,1),(184,1)}
       148:{1,2,5}:{(103,1),(107,1),(188,1),(195,1),(357,1),(416,1)}
       149:{1,5,7}:{(103,1),(104,1),(108,1),(197,1)}
       150:{2,6}:{(104,1),(105,1),(197,1)}
       151:{1,3,6}:{(107,1),(109,1),(192,1),(195,1),(198,1),(399,1)}
       152:{1,2,4,7}:{(107,1),(108,1),(110,1),(193,1),(196,1),(198,1),(287,1),(385,1),(417,1)}
       153:{1,3,4,6}:{(111,1),(113,1),(130,1),(199,1),(200,1),(207,1),(289,1),(298,1)}
       154:{2,5,6}:{(111,1),(131,1),(199,1),(201,1),(202,1),(230,1),(406,1),(424,1)}
       155:{1,3,5,7}:{(111,1),(112,1),(115,1),(200,1),(202,1),(203,1)}
       156:{1,4,6,7}:{(112,1),(116,1),(133,1),(203,1),(204,1),(219,1),(409,1)}
       157:{1,2,5}:{(119,1),(137,1),(205,1),(206,1)}
       158:{2,4,6}:{(113,1),(114,1),(138,1),(207,1),(208,1)}
       159:{3,4,7}:{(113,1),(115,1),(208,1),(413,1)}
       160:{1,3,5,6}:{(114,1),(117,1),(120,1),(140,1),(201,1),(207,1),(210,1),(211,1),(239,1),(289,1),(298,1),(322,1),(382,1)}
       161:{2,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(202,1),(208,1),(211,1),(212,1),(290,1),(301,1)}
       162:{3,6,7}:{(115,1),(116,1),(142,1),(411,1)}
       163:{2,5,6,7}:{(116,1),(123,1),(143,1),(204,1),(213,1),(301,1),(370,1),(414,1)}
       164:{2,6}:{(117,1),(119,1),(215,1)}
       165:{1,3,7}:{(117,1),(118,1),(125,1),(215,1)}
       166:{2,3,5}:{(119,1),(126,1),(147,1),(206,1),(214,1),(216,1),(306,1)}
       167:{1,2,5,6}:{(120,1),(124,1),(148,1),(210,1),(217,1),(218,1),(244,1),(306,1),(358,1),(373,1)}
       168:{1,5,7}:{(120,1),(121,1),(125,1),(219,1)}
       169:{2,6,7}:{(121,1),(122,1),(150,1),(219,1),(373,1)}
       170:{1,3,6}:{(124,1),(126,1),(214,1),(221,1),(298,1)}
       171:{1,2,4,7}:{(124,1),(125,1),(215,1),(218,1),(221,1),(299,1),(307,1),(309,1)}
       172:{1,3,4}:{(126,1),(216,1),(242,1),(319,1)}
       173:{1,3,4}:{(127,1),(222,1),(242,1),(319,1)}
       174:{2,3,5}:{(127,1),(128,1),(131,1),(222,1),(223,1),(314,1),(377,1)}
       175:{1,3,6}:{(128,1),(134,1),(223,1),(224,1),(225,1)}
       176:{2,3,7}:{(128,1),(129,1),(135,1),(225,1),(360,1)}
       177:{2,4,5}:{(130,1),(131,1),(199,1),(222,1),(226,1),(227,1),(314,1),(379,1),(406,1)}
       178:{1,5}:{(131,1),(134,1)}
       179:{2,5,7}:{(131,1),(132,1),(135,1),(229,1),(230,1)}
       180:{1,3,6}:{(132,1),(133,1),(142,1),(230,1)}
       181:{1,5,6}:{(133,1),(136,1),(143,1)}
       182:{1,2,4,6}:{(134,1),(137,1),(144,1),(205,1),(224,1),(228,1),(231,1),(232,1),(296,1),(313,1),(316,1),(318,1),(380,1)}
       183:{1,4,7}:{(134,1),(135,1),(225,1),(229,1)}
       184:{1,3}:{(137,1),(147,1)}
       185:{1,4,5}:{(138,1),(140,1),(207,1),(233,1),(242,1),(316,1),(415,1)}
       186:{2,4,5,7}:{(138,1),(139,1),(141,1),(208,1),(234,1),(235,1),(301,1),(323,1),(383,1)}
       187:{3,4,6}:{(139,1),(142,1),(235,1),(236,1),(240,1),(411,1),(425,1)}
       188:{2,5}:{(140,1),(144,1)}
       189:{1,3,5,7}:{(140,1),(141,1),(145,1),(149,1),(229,1),(234,1),(238,1),(239,1),(320,1),(366,1),(423,1)}
       190:{2,3,6}:{(141,1),(142,1),(150,1),(230,1),(235,1),(239,1),(373,1),(411,1),(424,1)}
       191:{3,5,6}:{(142,1),(143,1),(146,1),(240,1)}
       192:{2,3,6}:{(144,1),(147,1),(151,1),(231,1),(237,1),(241,1),(298,1),(377,1)}
       193:{2,4,7}:{(144,1),(145,1),(215,1),(238,1),(241,1),(360,1)}
       194:{4,5,7}:{(146,1),(240,1),(413,1),(415,1)}
       195:{1,3,5}:{(148,1),(151,1),(237,1),(242,1)}
       196:{1,2,5,7}:{(148,1),(149,1),(152,1),(238,1),(243,1),(244,1),(423,1)}
       197:{1,6}:{(149,1),(150,1)}
       198:{1,3,7}:{(151,1),(152,1),(241,1)}
       199:{2,4,6}:{(153,1),(154,1),(177,1),(245,1),(246,1),(247,1),(326,1)}
       200:{1,3,4,7}:{(153,1),(155,1),(159,1),(247,1),(255,1),(327,1),(336,1)}
       201:{1,5,6}:{(154,1),(178,1),(246,1),(249,1),(277,1),(416,1),(426,1)}
       202:{2,5,7}:{(154,1),(155,1),(247,1),(249,1),(250,1)}
       203:{1,3,6,7}:{(155,1),(156,1),(162,1),(180,1),(250,1),(419,1)}
       204:{1,5,6,7}:{(156,1),(163,1),(181,1),(338,1),(420,1)}
       205:{1,2,6}:{(157,1),(164,1),(251,1),(252,1)}
       206:{1,3,5}:{(157,1),(166,1),(184,1),(251,1),(253,1),(333,1)}
       207:{1,4,6}:{(158,1),(160,1),(185,1),(254,1),(255,1),(403,1)}
       208:{2,4,7}:{(158,1),(159,1),(161,1),(255,1)}
       209:{3,4,6,7}:{(159,1),(162,1),(187,1),(256,1),(257,1),(261,1)}
       210:{2,5,6}:{(160,1),(164,1),(188,1),(254,1),(259,1),(286,1),(326,1)}
       211:{1,3,5,7}:{(160,1),(161,1),(165,1),(168,1),(249,1),(255,1),(259,1),(260,1),(327,1),(336,1),(338,1),(395,1)}
       212:{2,3,6,7}:{(161,1),(162,1),(169,1),(190,1),(250,1),(256,1),(260,1)}
       213:{3,5,6,7}:{(162,1),(163,1),(191,1),(257,1),(261,1),(395,1),(421,1)}
       214:{2,3,6}:{(164,1),(166,1),(170,1),(251,1),(262,1),(263,1)}
       215:{2,7}:{(164,1),(165,1)}
       216:{2,4}:{(166,1),(172,1),(253,1)}
       217:{1,3,5,6}:{(167,1),(170,1),(195,1),(258,1),(264,1),(265,1),(267,1),(288,1),(345,1),(357,1),(384,1),(398,1),(416,1),(426,1)}
       218:{1,2,5,7}:{(167,1),(168,1),(171,1),(259,1),(265,1),(266,1),(342,1),(385,1)}
       219:{1,6,7}:{(168,1),(169,1),(197,1),(392,1)}
       220:{1,3,4,6}:{(170,1),(172,1),(262,1),(264,1),(267,1),(268,1),(335,1),(345,1)}
       221:{1,3,7}:{(170,1),(171,1),(263,1),(336,1)}
       222:{2,4}:{(173,1),(174,1),(270,1)}
       223:{1,3,5}:{(174,1),(175,1),(178,1),(270,1),(271,1),(347,1)}
       224:{1,2,6}:{(175,1),(271,1),(272,1),(326,1)}
       225:{1,3,7}:{(175,1),(176,1),(183,1),(272,1)}
       226:{2,3,5}:{(177,1),(245,1),(269,1),(273,1),(279,1)}
       227:{1,4,5}:{(177,1),(178,1),(246,1),(270,1),(273,1),(400,1),(416,1)}
       228:{1,2,5}:{(178,1),(182,1),(188,1),(275,1),(333,1),(401,1)}
       229:{1,5,7}:{(178,1),(179,1),(183,1),(277,1)}
       230:{2,6}:{(179,1),(180,1),(277,1)}
       231:{1,3,6}:{(182,1),(184,1),(192,1),(275,1),(278,1),(347,1)}
       232:{1,2,4,7}:{(182,1),(183,1),(193,1),(252,1),(272,1),(276,1),(278,1),(334,1),(351,1)}
       233:{2,4,5}:{(185,1),(188,1),(254,1),(279,1),(284,1)}
       234:{1,4,5,7}:{(185,1),(186,1),(189,1),(255,1),(280,1),(281,1),(287,1),(338,1),(351,1),(357,1),(401,1)}
       235:{2,4,6}:{(186,1),(187,1),(190,1),(281,1),(282,1)}
       236:{3,5,6}:{(187,1),(257,1),(282,1),(283,1),(402,1)}
       237:{2,3,5}:{(188,1),(192,1),(195,1),(275,1),(279,1),(284,1)}
       238:{2,5,7}:{(188,1),(189,1),(193,1),(286,1)}
       239:{1,3,6}:{(189,1),(190,1),(197,1),(277,1),(281,1),(286,1),(354,1),(392,1),(426,1)}
       240:{4,6}:{(191,1),(194,1)}
       241:{2,3,7}:{(192,1),(193,1),(198,1),(278,1),(336,1)}
       242:{1,4}:{(195,1),(284,1)}
       243:{1,3,5,7}:{(195,1),(196,1),(198,1),(285,1),(287,1),(288,1),(357,1)}
       244:{1,2,6}:{(196,1),(197,1),(286,1),(288,1),(426,1)}
       245:{2,3,6}:{(199,1),(226,1),(289,1),(290,1),(298,1)}
       246:{1,4,6}:{(199,1),(201,1),(227,1),(289,1),(292,1)}
       247:{2,4,7}:{(199,1),(200,1),(202,1),(290,1),(292,1),(360,1)}
       248:{1,2,5,6}:{(201,1),(205,1),(210,1),(228,1),(291,1),(293,1),(294,1),(318,1),(406,1),(424,1)}
       249:{1,5,7}:{(201,1),(202,1),(292,1),(295,1)}
       250:{2,6,7}:{(202,1),(203,1),(230,1),(295,1),(424,1)}
       251:{1,3,6}:{(205,1),(206,1),(214,1),(296,1),(297,1)}
       252:{1,2,7}:{(205,1),(215,1),(297,1)}
       253:{1,4}:{(206,1),(216,1)}
       254:{2,4,6}:{(207,1),(210,1),(233,1),(298,1),(299,1)}
       255:{1,4,7}:{(207,1),(208,1),(211,1),(299,1),(413,1)}
       256:{2,4,6,7}:{(208,1),(209,1),(212,1),(235,1),(300,1),(301,1)}
       257:{3,5,7}:{(209,1),(236,1),(301,1),(302,1)}
       258:{2,3,5,6}:{(210,1),(214,1),(217,1),(237,1),(293,1),(298,1),(303,1),(304,1),(306,1),(324,1),(359,1),(367,1),(373,1),(382,1),(383,1),(406,1),(411,1),(414,1),(424,1)}
       259:{2,5,7}:{(210,1),(211,1),(215,1),(299,1),(305,1),(360,1)}
       260:{1,3,6,7}:{(211,1),(212,1),(219,1),(239,1),(295,1),(300,1),(305,1),(369,1)}
       261:{4,6,7}:{(213,1),(240,1),(302,1),(413,1),(425,1)}
       262:{2,4,6}:{(214,1),(216,1),(220,1),(296,1),(306,1),(307,1),(373,1)}
       263:{2,3,7}:{(214,1),(215,1),(221,1),(297,1),(307,1)}
       264:{1,4,6}:{(217,1),(242,1),(303,1),(308,1),(309,1)}
       265:{1,3,5,7}:{(217,1),(218,1),(221,1),(304,1),(309,1),(310,1),(375,1),(405,1),(423,1)}
       266:{1,2,6,7}:{(218,1),(219,1),(244,1),(305,1),(310,1),(373,1)}
       267:{1,3,5}:{(220,1),(306,1),(308,1),(367,1)}
       268:{1,3,4,7}:{(220,1),(221,1),(307,1),(309,1),(311,1),(368,1)}
       269:{2,3,4}:{(222,1),(226,1),(312,1),(319,1),(377,1),(379,1)}
       270:{1,4}:{(222,1),(223,1)}
       271:{1,2,5}:{(223,1),(224,1),(313,1),(314,1)}
       272:{1,2,7}:{(224,1),(225,1),(360,1)}
       273:{1,3,5}:{(226,1),(227,1),(289,1),(312,1),(314,1)}
       274:{1,2,4,5}:{(227,1),(228,1),(233,1),(291,1),(313,1),(314,1),(315,1),(316,1),(363,1),(379,1),(406,1)}
       275:{1,3,5}:{(228,1),(231,1),(237,1),(316,1)}
       276:{1,2,5,7}:{(228,1),(229,1),(232,1),(238,1),(317,1),(318,1),(366,1)}
       277:{1,6}:{(229,1),(230,1)}
       278:{1,3,7}:{(231,1),(232,1),(241,1)}
       279:{3,5}:{(233,1),(298,1),(319,1)}
       280:{2,4,5,7}:{(233,1),(234,1),(238,1),(299,1),(320,1),(321,1),(323,1),(370,1),(383,1),(413,1),(415,1)}
       281:{1,4,6}:{(234,1),(235,1),(239,1),(321,1),(322,1)}
       282:{2,5,6}:{(235,1),(236,1),(301,1),(322,1),(383,1)}
       283:{4,5,6}:{(236,1),(240,1),(302,1),(415,1),(425,1)}
       284:{2,4}:{(237,1),(242,1),(316,1),(319,1)}
       285:{2,3,5,7}:{(237,1),(238,1),(241,1),(243,1),(317,1),(320,1),(323,1),(324,1),(383,1)}
       286:{2,6}:{(238,1),(239,1)}
       287:{1,4,7}:{(242,1),(243,1),(323,1),(325,1)}
       288:{1,3,6}:{(243,1),(244,1),(324,1),(325,1)}
       289:{1,3,6}:{(245,1),(246,1),(273,1),(326,1),(327,1)}
       290:{2,3,7}:{(245,1),(247,1),(327,1),(336,1)}
       291:{1,2,4,6}:{(246,1),(248,1),(254,1),(274,1),(326,1),(328,1),(329,1),(330,1),(386,1)}
       292:{1,4,7}:{(246,1),(247,1),(249,1),(327,1)}
       293:{1,3,5,6}:{(248,1),(251,1),(258,1),(275,1),(328,1),(330,1),(331,1),(333,1),(352,1),(388,1),(392,1),(401,1),(419,1),(420,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(259,1),(329,1),(331,1),(332,1),(418,1)}
       295:{1,6,7}:{(249,1),(250,1),(277,1),(426,1)}
       296:{1,4,6}:{(251,1),(253,1),(262,1),(333,1),(334,1),(392,1)}
       297:{1,3,7}:{(251,1),(252,1),(263,1),(334,1)}
       298:{3,6}:{(254,1),(279,1),(336,1)}
       299:{2,4,7}:{(254,1),(255,1),(259,1),(336,1)}
       300:{1,4,6,7}:{(255,1),(256,1),(260,1),(281,1),(337,1),(338,1)}
       301:{2,5,7}:{(256,1),(257,1),(282,1),(338,1)}
       302:{4,5,7}:{(257,1),(261,1),(283,1)}
       303:{2,4,6}:{(258,1),(264,1),(284,1),(330,1),(335,1),(339,1),(340,1),(403,1)}
       304:{2,3,5,7}:{(258,1),(259,1),(263,1),(265,1),(331,1),(336,1),(340,1),(341,1),(342,1),(387,1),(393,1),(395,1),(397,1),(418,1)}
       305:{2,6,7}:{(259,1),(260,1),(286,1)}
       306:{2,5}:{(262,1),(267,1),(333,1)}
       307:{2,4,7}:{(262,1),(263,1),(268,1),(334,1),(342,1)}
       308:{1,4,5}:{(264,1),(267,1),(339,1),(357,1),(416,1)}
       309:{1,4,7}:{(264,1),(265,1),(340,1)}
       310:{1,3,6,7}:{(265,1),(266,1),(288,1),(341,1),(344,1),(345,1),(426,1)}
       311:{1,3,5,7}:{(267,1),(268,1),(342,1),(343,1),(345,1),(393,1)}
       312:{1,3,4}:{(269,1),(270,1),(273,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(270,1),(271,1),(346,1),(347,1)}
       314:{2,5}:{(273,1),(326,1),(346,1)}
       315:{1,3,5}:{(274,1),(279,1),(328,1),(347,1),(349,1),(350,1)}
       316:{1,4}:{(275,1),(284,1)}
       317:{1,3,5,7}:{(275,1),(276,1),(278,1),(285,1),(351,1),(352,1),(401,1)}
       318:{1,2,6}:{(276,1),(277,1),(286,1),(352,1),(392,1)}
       319:{3,4}:{(279,1),(284,1)}
       320:{3,5,7}:{(279,1),(280,1),(336,1),(353,1),(354,1),(402,1)}
       321:{2,4,6}:{(280,1),(281,1),(286,1),(354,1),(355,1),(403,1)}
       322:{1,5,6}:{(281,1),(282,1),(338,1),(355,1),(357,1),(401,1)}
       323:{2,4,7}:{(284,1),(285,1),(287,1),(351,1),(353,1),(356,1)}
       324:{2,3,6}:{(285,1),(286,1),(288,1),(352,1),(354,1),(356,1)}
       325:{1,4,6}:{(287,1),(288,1),(356,1),(357,1)}
       326:{2,6}:{(289,1),(314,1),(360,1)}
       327:{1,3,7}:{(289,1),(290,1),(292,1),(360,1)}
       328:{1,3,6}:{(291,1),(298,1),(315,1),(359,1),(362,1)}
       329:{1,2,4,7}:{(291,1),(292,1),(294,1),(299,1),(360,1),(362,1),(364,1),(407,1)}
       330:{1,4,6}:{(293,1),(303,1),(316,1),(363,1),(364,1)}
       331:{1,3,5,7}:{(293,1),(294,1),(297,1),(304,1),(362,1),(364,1),(365,1),(366,1),(410,1)}
       332:{1,2,6,7}:{(294,1),(295,1),(305,1),(318,1),(365,1),(424,1)}
       333:{1,5}:{(296,1),(306,1)}
       334:{1,4,7}:{(296,1),(297,1),(307,1),(366,1)}
       335:{3,4,6}:{(298,1),(303,1),(319,1),(367,1),(368,1),(411,1)}
       336:{3,7}:{(298,1),(299,1)}
       337:{2,4,6,7}:{(299,1),(300,1),(305,1),(321,1),(369,1),(370,1),(413,1)}
       338:{1,5,7}:{(300,1),(301,1),(322,1),(370,1)}
       339:{2,4,5}:{(303,1),(306,1),(308,1),(363,1),(367,1),(383,1),(406,1),(415,1)}
       340:{2,4,7}:{(303,1),(304,1),(309,1),(364,1),(368,1),(413,1)}
       341:{2,3,6,7}:{(304,1),(305,1),(310,1),(324,1),(365,1),(369,1),(372,1),(373,1),(411,1),(424,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,5,7}:{(308,1),(309,1),(311,1),(371,1),(374,1),(375,1),(423,1)}
       344:{1,4,6,7}:{(309,1),(310,1),(325,1),(372,1),(374,1),(375,1)}
       345:{1,3,6}:{(311,1),(373,1),(374,1),(411,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(359,1),(377,1),(378,1),(379,1),(406,1)}
       350:{1,3,4}:{(315,1),(316,1),(319,1),(379,1)}
       351:{1,4,7}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,3,6}:{(317,1),(318,1),(324,1),(380,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(381,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(370,1),(382,1),(383,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(381,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(326,1),(348,1),(384,1),(385,1)}
       359:{2,3,6}:{(326,1),(328,1),(349,1),(384,1),(386,1),(387,1)}
       360:{2,7}:{(326,1),(327,1)}
       361:{1,3,4,6}:{(328,1),(330,1),(335,1),(350,1),(386,1),(388,1),(389,1),(419,1)}
       362:{1,3,7}:{(328,1),(329,1),(336,1),(387,1)}
       363:{1,4,5}:{(330,1),(333,1),(339,1),(388,1),(401,1)}
       364:{1,4,7}:{(330,1),(331,1),(340,1)}
       365:{1,3,6,7}:{(331,1),(332,1),(341,1),(352,1),(391,1),(392,1),(419,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{3,5}:{(335,1),(339,1)}
       368:{3,4,7}:{(335,1),(336,1),(340,1),(393,1)}
       369:{3,6,7}:{(336,1),(337,1),(354,1),(395,1)}
       370:{2,5,7}:{(337,1),(338,1),(355,1),(395,1)}
       371:{2,4,5,7}:{(339,1),(340,1),(342,1),(343,1),(390,1),(393,1),(396,1),(397,1),(418,1),(422,1)}
       372:{2,4,6,7}:{(340,1),(341,1),(344,1),(356,1),(391,1),(394,1),(396,1),(397,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,4,6}:{(343,1),(345,1),(396,1),(398,1),(426,1)}
       375:{1,5,7}:{(344,1),(357,1),(397,1),(398,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(384,1),(399,1),(400,1),(416,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,4,6}:{(353,1),(354,1),(356,1),(402,1),(403,1)}
       382:{3,5,6}:{(354,1),(355,1),(395,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(402,1)}
       384:{1,3,6}:{(358,1),(359,1),(378,1),(404,1),(405,1)}
       385:{1,2,7}:{(358,1),(360,1),(405,1)}
       386:{2,4,6}:{(359,1),(361,1),(379,1),(404,1),(406,1),(407,1),(424,1)}
       387:{2,3,7}:{(359,1),(360,1),(362,1),(405,1),(407,1)}
       388:{1,3,5}:{(361,1),(363,1),(367,1),(406,1)}
       389:{1,3,4,7}:{(361,1),(362,1),(364,1),(368,1),(407,1),(408,1)}
       390:{1,4,5,7}:{(363,1),(364,1),(366,1),(371,1),(408,1),(409,1),(410,1)}
       391:{1,4,6,7}:{(364,1),(365,1),(372,1),(380,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(371,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(372,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(382,1),(413,1)}
       396:{2,4,6}:{(371,1),(373,1),(374,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       397:{2,5,7}:{(372,1),(375,1),(383,1),(410,1),(412,1),(414,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{3,5}:{(381,1),(383,1),(415,1)}
       403:{4,6}:{(382,1),(413,1),(415,1)}
       404:{1,4,6}:{(384,1),(386,1),(400,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(384,1),(385,1),(387,1),(417,1)}
       406:{2,5}:{(386,1),(388,1),(416,1)}
       407:{2,4,7}:{(386,1),(387,1),(389,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(390,1),(393,1),(418,1),(419,1)}
       409:{1,4,6}:{(390,1),(392,1),(396,1),(419,1),(420,1)}
       410:{1,5,7}:{(391,1),(397,1),(401,1),(420,1)}
       411:{3,6}:{(393,1),(396,1)}
       412:{3,5,7}:{(394,1),(397,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(395,1),(403,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(421,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 580 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(128,1),(184,1),(237,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(149,1),(260,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(158,1),(166,1),(212,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(70,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(70,1),(119,1),(184,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(120,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(29,1),(85,1),(129,1),(186,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(30,1),(39,1),(41,1),(76,1),(85,1),(120,1),(126,1),(138,1),(198,1),(200,1),(237,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(47,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(48,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(91,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(48,1),(92,1),(105,1),(212,1),(260,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(149,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(47,1),(61,1),(101,1),(149,1),(156,1),(214,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(48,1),(60,1),(170,1),(226,1),(227,1),(260,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(36,1),(66,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(28,1),(29,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(29,1),(32,1),(70,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(30,1),(32,1),(39,1),(120,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(119,1),(177,1),(184,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(28,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(29,1),(35,1),(37,1),(42,1),(70,1),(82,1),(85,1),(119,1),(133,1),(136,1),(186,1),(201,1),(240,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(70,1),(240,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(126,1),(142,1),(201,1)}
        28:{1,5,7}:{(16,1),(17,1),(44,1),(113,1)}
        29:{2,5,6}:{(17,1),(18,1),(44,1),(47,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(23,1),(45,1),(47,1),(48,1),(57,1),(92,1)}
        31:{1,3,5,6,7}:{(18,1),(46,1),(49,1),(94,1),(98,1),(266,1)}
        32:{1,4,6}:{(18,1),(19,1),(47,1),(149,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(48,1),(51,1),(52,1),(60,1),(97,1),(98,1),(109,1),(151,1),(162,1),(171,1),(211,1),(220,1),(227,1),(260,1),(265,1),(297,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(92,1),(204,1),(212,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(44,1),(53,1),(55,1),(63,1),(91,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(48,1),(58,1),(260,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(156,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{1,5,6}:{(28,1),(29,1),(66,1)}
        45:{1,4,5,7}:{(28,1),(30,1),(36,1),(66,1),(67,1),(79,1)}
        46:{2,5,6,7}:{(29,1),(31,1),(65,1),(68,1),(127,1),(282,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(66,1),(70,1),(119,1)}
        48:{3,5,7}:{(30,1),(38,1),(70,1),(82,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(68,1),(72,1),(177,1),(284,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(69,1),(72,1),(74,1),(179,1),(185,1),(245,1),(284,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(70,1),(74,1),(75,1),(123,1),(125,1),(185,1),(240,1),(284,1),(307,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(85,1),(126,1),(127,1),(139,1),(182,1),(188,1),(200,1),(237,1),(242,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(119,1),(136,1),(143,1),(179,1),(186,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(237,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(67,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(70,1),(82,1),(240,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(71,1),(81,1),(83,1),(84,1),(142,1),(182,1),(188,1),(229,1),(251,1),(280,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(126,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(158,1),(293,1)}
        66:{1,4,6}:{(44,1),(45,1),(47,1),(91,1)}
        67:{1,3,5,7}:{(45,1),(48,1),(56,1),(91,1),(92,1),(106,1)}
        68:{2,4,6,7}:{(46,1),(47,1),(49,1),(89,1),(93,1),(94,1),(146,1),(298,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(57,1),(90,1),(93,1),(95,1),(100,1),(148,1),(154,1),(214,1),(264,1),(298,1)}
        70:{3,6}:{(47,1),(48,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(59,1),(92,1),(96,1),(97,1),(110,1),(227,1),(260,1),(297,1),(309,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(93,1),(98,1),(204,1),(211,1)}
        73:{1,3,4,6,7}:{(49,1),(51,1),(94,1),(98,1),(99,1),(151,1),(153,1),(211,1),(260,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(95,1),(98,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(96,1),(100,1),(101,1),(156,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(97,1),(101,1),(113,1),(158,1),(171,1),(210,1),(211,1),(259,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(207,1),(214,1),(256,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(260,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(91,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(92,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(96,1),(107,1),(110,1),(111,1),(154,1),(173,1),(206,1),(216,1),(221,1),(228,1),(263,1),(295,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(97,1),(108,1),(111,1),(112,1),(115,1),(170,1),(210,1),(211,1),(252,1),(260,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(156,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(68,1),(116,1),(117,1),(304,1)}
        90:{1,4,5,6}:{(66,1),(69,1),(79,1),(116,1),(118,1),(129,1),(185,1),(279,1),(304,1)}
        91:{1,3,6}:{(66,1),(67,1),(70,1),(119,1)}
        92:{2,5,7}:{(67,1),(81,1),(119,1),(120,1),(136,1)}
        93:{2,4,5,7}:{(68,1),(69,1),(72,1),(116,1),(121,1),(127,1),(176,1),(182,1),(237,1)}
        94:{3,6,7}:{(68,1),(70,1),(121,1),(307,1)}
        95:{3,5,6}:{(69,1),(70,1),(82,1),(121,1),(123,1),(240,1),(283,1),(307,1)}
        96:{2,3,6}:{(70,1),(71,1),(75,1),(119,1),(125,1),(240,1),(307,1),(313,1)}
        97:{1,3,5,7}:{(71,1),(76,1),(84,1),(120,1),(125,1),(126,1),(140,1),(312,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(121,1),(127,1)}
        99:{2,4,6,7}:{(73,1),(75,1),(122,1),(127,1),(128,1),(182,1),(184,1),(237,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(127,1),(129,1),(242,1)}
       101:{1,4,6}:{(75,1),(76,1),(125,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(126,1),(130,1),(131,1),(143,1),(188,1),(189,1),(200,1),(202,1),(237,1),(242,1),(243,1),(245,1),(281,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(240,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(119,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(120,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(123,1),(139,1),(251,1),(283,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(242,1),(283,1),(306,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(125,1),(137,1),(140,1),(141,1),(144,1),(185,1),(199,1),(202,1),(233,1),(236,1),(240,1),(246,1),(250,1),(251,1),(305,1)}
       112:{2,4,7}:{(84,1),(126,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(276,1),(285,1),(305,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(93,1),(145,1),(158,1),(211,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(94,1),(145,1),(146,1),(310,1)}
       118:{1,3,5,6}:{(90,1),(91,1),(95,1),(106,1),(145,1),(147,1),(148,1),(296,1),(310,1)}
       119:{2,6}:{(91,1),(92,1),(149,1)}
       120:{1,5,7}:{(92,1),(108,1),(149,1),(168,1)}
       121:{3,5,7}:{(93,1),(94,1),(95,1),(151,1),(260,1)}
       122:{2,3,6,7}:{(94,1),(96,1),(99,1),(146,1),(152,1),(153,1),(260,1)}
       123:{3,4,6}:{(95,1),(109,1),(151,1),(154,1)}
       124:{2,3,5,6}:{(95,1),(96,1),(100,1),(110,1),(148,1),(152,1),(154,1),(155,1),(206,1)}
       125:{1,3,6}:{(96,1),(97,1),(101,1),(149,1),(156,1),(314,1)}
       126:{2,5,7}:{(97,1),(112,1),(156,1),(172,1)}
       127:{2,5,7}:{(98,1),(99,1),(100,1),(158,1)}
       128:{1,4,6,7}:{(99,1),(101,1),(153,1),(158,1),(211,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(158,1),(259,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(156,1),(160,1),(161,1),(214,1),(216,1),(219,1),(298,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(157,1),(161,1),(162,1),(174,1),(220,1),(227,1),(260,1),(297,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(256,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(147,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(296,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(149,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(150,1),(166,1),(169,1),(170,1),(210,1)}
       139:{2,4,5}:{(109,1),(110,1),(154,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(259,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(156,1),(172,1),(173,1),(228,1),(256,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(260,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(121,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(119,1),(176,1),(177,1),(313,1)}
       147:{1,3,4,6}:{(118,1),(123,1),(135,1),(175,1),(178,1),(185,1),(233,1),(240,1)}
       148:{2,5,6}:{(118,1),(119,1),(136,1),(176,1),(178,1),(179,1),(306,1),(313,1)}
       149:{1,6}:{(119,1),(120,1)}
       150:{1,2,5,7}:{(120,1),(126,1),(138,1),(180,1),(181,1),(198,1)}
       151:{3,4,7}:{(121,1),(123,1),(182,1)}
       152:{2,3,5,7}:{(121,1),(122,1),(124,1),(127,1),(176,1),(182,1),(183,1),(229,1)}
       153:{1,3,6,7}:{(122,1),(125,1),(128,1),(177,1),(183,1),(184,1)}
       154:{2,4,6}:{(123,1),(124,1),(139,1),(182,1),(185,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(129,1),(140,1),(179,1),(183,1),(185,1),(186,1),(233,1),(240,1)}
       156:{2,6}:{(125,1),(126,1)}
       157:{2,3,5,7}:{(126,1),(131,1),(142,1),(181,1),(187,1),(188,1),(201,1),(242,1)}
       158:{1,5,7}:{(127,1),(128,1),(129,1)}
       159:{1,2,4,6,7}:{(128,1),(130,1),(184,1),(189,1),(190,1),(237,1),(239,1),(243,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(186,1),(189,1),(191,1),(242,1),(276,1),(282,1)}
       161:{1,3,6}:{(130,1),(131,1),(187,1),(240,1),(307,1)}
       162:{1,3,4,7}:{(131,1),(188,1),(192,1),(202,1),(243,1),(251,1),(280,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(178,1),(193,1),(196,1),(197,1),(248,1),(288,1),(306,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(180,1),(195,1),(198,1),(199,1),(236,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(185,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(240,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(151,1),(203,1),(211,1),(252,1),(260,1)}
       176:{2,5,7}:{(145,1),(146,1),(148,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(149,1),(204,1),(314,1)}
       178:{2,4,6}:{(147,1),(148,1),(167,1),(203,1),(206,1),(207,1),(256,1)}
       179:{1,5,6}:{(148,1),(149,1),(168,1),(204,1),(207,1),(311,1),(314,1)}
       180:{1,2,6}:{(149,1),(150,1),(156,1),(209,1)}
       181:{1,3,5,7}:{(150,1),(157,1),(170,1),(209,1),(210,1),(226,1),(259,1)}
       182:{2,4,7}:{(151,1),(152,1),(154,1),(211,1)}
       183:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(204,1),(211,1),(212,1),(252,1),(260,1)}
       184:{2,6,7}:{(153,1),(156,1),(212,1)}
       185:{1,4,6}:{(154,1),(155,1),(171,1),(211,1),(214,1)}
       186:{2,5,6}:{(155,1),(156,1),(172,1),(212,1),(214,1),(256,1)}
       187:{2,3,6}:{(156,1),(157,1),(161,1),(209,1),(216,1)}
       188:{2,4,7}:{(157,1),(162,1),(210,1),(216,1),(228,1)}
       189:{1,2,5,7}:{(158,1),(159,1),(160,1),(212,1),(217,1),(262,1),(289,1)}
       190:{1,3,6,7}:{(159,1),(161,1),(213,1),(217,1),(260,1),(314,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(215,1),(217,1),(219,1),(220,1),(294,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(216,1),(219,1),(220,1),(263,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(256,1)}
       196:{2,3,5}:{(167,1),(206,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(207,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(259,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(214,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(178,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(179,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(184,1),(231,1),(232,1),(313,1)}
       206:{2,3,6}:{(178,1),(196,1),(229,1),(233,1),(240,1)}
       207:{1,4,6}:{(178,1),(179,1),(197,1),(230,1),(233,1)}
       208:{1,2,5,6}:{(179,1),(180,1),(186,1),(198,1),(231,1),(234,1),(235,1),(306,1),(313,1)}
       209:{1,3,6}:{(180,1),(181,1),(187,1),(236,1)}
       210:{1,4,7}:{(181,1),(188,1),(236,1),(250,1)}
       211:{1,4,7}:{(182,1),(183,1),(185,1),(237,1)}
       212:{2,5,7}:{(183,1),(184,1),(186,1),(237,1),(272,1)}
       213:{2,3,6,7}:{(184,1),(187,1),(190,1),(232,1),(238,1),(239,1),(307,1),(313,1)}
       214:{2,4,6}:{(185,1),(186,1),(200,1),(237,1),(240,1)}
       215:{2,3,5,6}:{(186,1),(187,1),(191,1),(201,1),(235,1),(238,1),(240,1),(241,1),(242,1),(277,1),(282,1),(283,1),(306,1),(307,1),(313,1)}
       216:{2,4,6}:{(187,1),(188,1),(192,1),(236,1),(242,1)}
       217:{1,3,5,7}:{(189,1),(190,1),(191,1),(238,1),(243,1),(301,1),(312,1)}
       218:{1,3,4,6,7}:{(190,1),(192,1),(239,1),(243,1),(244,1),(280,1),(284,1),(307,1)}
       219:{1,4,6}:{(191,1),(202,1),(241,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(242,1),(245,1),(283,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(233,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(234,1),(247,1),(248,1),(249,1),(250,1),(279,1),(288,1),(306,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(240,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(206,1),(252,1),(260,1)}
       230:{1,4,7}:{(203,1),(204,1),(207,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(208,1),(212,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(209,1),(213,1),(254,1),(255,1),(310,1)}
       233:{1,3,6}:{(206,1),(207,1),(224,1),(252,1),(256,1)}
       234:{1,2,4,6}:{(207,1),(208,1),(214,1),(225,1),(253,1),(256,1),(257,1),(258,1),(295,1)}
       235:{1,3,5,6}:{(208,1),(209,1),(215,1),(226,1),(254,1),(257,1),(258,1),(259,1),(293,1),(296,1),(310,1)}
       236:{1,4,6}:{(209,1),(210,1),(216,1),(259,1)}
       237:{2,4,7}:{(211,1),(212,1),(214,1),(260,1)}
       238:{2,3,5,7}:{(212,1),(213,1),(215,1),(217,1),(254,1),(260,1),(261,1),(262,1),(290,1),(297,1),(309,1)}
       239:{2,4,6,7}:{(213,1),(216,1),(218,1),(255,1),(261,1),(262,1),(298,1)}
       240:{3,6}:{(214,1),(227,1),(260,1)}
       241:{2,4,6}:{(215,1),(219,1),(228,1),(258,1),(261,1),(263,1),(264,1)}
       242:{2,5}:{(216,1),(220,1),(259,1)}
       243:{1,4,7}:{(217,1),(219,1),(261,1)}
       244:{1,3,5,7}:{(218,1),(220,1),(262,1),(265,1),(266,1),(297,1)}
       245:{1,4,5}:{(219,1),(220,1),(264,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(256,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(257,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(233,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(234,1),(237,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(235,1),(238,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(236,1),(239,1),(274,1),(275,1),(304,1)}
       256:{2,6}:{(233,1),(248,1),(272,1)}
       257:{1,3,6}:{(234,1),(240,1),(249,1),(273,1),(277,1)}
       258:{1,4,6}:{(235,1),(241,1),(250,1),(274,1),(279,1)}
       259:{1,5}:{(236,1),(242,1)}
       260:{3,7}:{(237,1),(240,1)}
       261:{2,4,7}:{(238,1),(241,1),(243,1),(274,1),(280,1)}
       262:{2,5,7}:{(239,1),(242,1),(244,1),(275,1),(282,1)}
       263:{3,4,6}:{(240,1),(241,1),(251,1),(280,1),(283,1),(307,1)}
       264:{2,4,5}:{(241,1),(242,1),(245,1),(279,1),(283,1),(306,1)}
       265:{1,4,5,7}:{(243,1),(244,1),(245,1),(281,1),(284,1),(312,1)}
       266:{1,3,5,6}:{(244,1),(282,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(276,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(277,1),(286,1),(287,1),(288,1),(306,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(256,1)}
       273:{1,3,7}:{(253,1),(257,1),(260,1),(290,1)}
       274:{1,4,7}:{(254,1),(258,1),(261,1)}
       275:{1,5,7}:{(255,1),(259,1),(262,1),(293,1)}
       276:{1,2,6}:{(256,1),(269,1),(289,1),(294,1)}
       277:{2,3,6}:{(256,1),(257,1),(270,1),(290,1),(294,1),(295,1)}
       278:{1,3,4,6}:{(257,1),(258,1),(263,1),(271,1),(291,1),(295,1),(296,1),(310,1)}
       279:{1,4,5}:{(258,1),(259,1),(264,1),(296,1)}
       280:{3,4,7}:{(260,1),(261,1),(263,1),(297,1)}
       281:{2,4,5,7}:{(261,1),(262,1),(264,1),(265,1),(292,1),(297,1),(298,1),(309,1)}
       282:{2,5,6}:{(262,1),(266,1),(293,1),(298,1)}
       283:{3,5}:{(263,1),(264,1)}
       284:{1,4,6}:{(265,1),(266,1),(298,1),(314,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(294,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(276,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(277,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(278,1),(280,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(279,1),(281,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(282,1),(304,1)}
       294:{1,3,6}:{(276,1),(277,1),(287,1),(301,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(288,1),(302,1),(305,1),(306,1),(313,1)}
       296:{1,3,5}:{(278,1),(279,1),(283,1),(306,1)}
       297:{3,5,7}:{(280,1),(281,1),(283,1),(307,1)}
       298:{2,4,6}:{(281,1),(282,1),(284,1),(304,1),(307,1),(313,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(294,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(295,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(296,1),(297,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(298,1),(310,1)}
       305:{1,4,6}:{(294,1),(295,1),(300,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(295,1),(296,1),(311,1)}
       307:{3,6}:{(297,1),(298,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 581 :   0:{1,2,6,7}:{(4,1),(6,1),(160,1),(244,1),(249,1),(258,1),(309,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(80,1),(86,1),(157,1),(160,1),(162,1),(173,1),(231,1),(249,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(95,1),(160,1),(309,1),(316,1),(367,1)}
         3:{2,3,5,6}:{(5,1),(9,1),(10,1),(33,1),(36,1),(38,1),(80,1),(95,1),(160,1),(231,1),(238,1),(308,1),(316,1),(372,1),(374,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(13,1),(14,1),(116,1),(205,1),(291,1)}
         5:{1,3,5,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(18,1),(47,1),(49,1),(55,1),(116,1),(118,1),(205,1),(207,1),(291,1),(358,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(14,1),(17,1),(117,1),(124,1),(201,1),(216,1),(272,1)}
         7:{1,2,4,6}:{(1,1),(15,1),(16,1),(17,1),(18,1),(51,1),(199,1),(214,1),(270,1),(282,1)}
         8:{2,4,6,7}:{(2,1),(13,1),(19,1),(20,1),(22,1),(62,1),(348,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(14,1),(20,1),(22,1),(54,1),(63,1),(117,1),(272,1),(340,1),(387,1)}
        10:{2,4,6}:{(3,1),(15,1),(21,1),(22,1),(23,1),(280,1),(392,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(148,1),(160,1),(258,1),(265,1),(330,1)}
        12:{2,3,5,6}:{(5,1),(25,1),(26,1),(33,1),(69,1),(71,1),(80,1),(148,1),(160,1),(173,1),(180,1),(257,1),(265,1),(335,1),(337,1)}
        13:{1,4,6,7}:{(4,1),(8,1),(24,1),(27,1),(29,1),(78,1),(328,1)}
        14:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(27,1),(29,1),(32,1),(85,1),(161,1)}
        15:{1,4,6}:{(5,1),(10,1),(26,1),(28,1),(29,1),(251,1)}
        16:{1,2,4,5}:{(7,1),(28,1),(31,1),(80,1),(83,1),(159,1),(162,1),(177,1),(235,1),(247,1),(251,1),(252,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(29,1),(32,1),(81,1),(242,1),(256,1),(307,1),(319,1)}
        18:{1,3,6}:{(7,1),(31,1),(32,1),(33,1),(257,1),(308,1)}
        19:{3,4,6,7}:{(8,1),(35,1),(39,1),(92,1),(95,1),(367,1),(373,1),(401,1)}
        20:{2,5,7}:{(8,1),(27,1),(35,1),(36,1),(374,1)}
        21:{2,4,5}:{(10,1),(28,1),(38,1),(80,1),(374,1),(405,1)}
        22:{2,4,7}:{(9,1),(10,1),(29,1),(39,1),(401,1)}
        23:{3,4,6}:{(10,1),(38,1),(39,1),(95,1),(308,1),(315,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(106,1),(304,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(14,1),(42,1),(44,1),(54,1),(107,1),(117,1),(216,1),(296,1),(359,1)}
        26:{2,4,6}:{(12,1),(15,1),(43,1),(44,1),(45,1),(224,1),(364,1)}
        27:{1,5,7}:{(13,1),(20,1),(42,1),(47,1),(358,1)}
        28:{1,4,5}:{(15,1),(21,1),(43,1),(49,1),(118,1),(358,1)}
        29:{1,4,7}:{(14,1),(15,1),(22,1),(44,1)}
        30:{1,3,4,6}:{(15,1),(18,1),(23,1),(45,1),(49,1),(50,1),(51,1),(52,1),(116,1)}
        31:{1,3,5}:{(16,1),(18,1),(52,1),(53,1),(221,1),(277,1),(293,1)}
        32:{1,3,7}:{(17,1),(18,1),(54,1),(296,1),(340,1)}
        33:{2,3,6}:{(18,1),(51,1),(53,1),(54,1),(55,1),(282,1)}
        34:{2,4,5,6}:{(21,1),(46,1),(57,1),(58,1),(62,1),(114,1),(127,1),(131,1),(218,1),(270,1),(344,1),(345,1),(391,1),(392,1)}
        35:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(393,1)}
        36:{2,5,6}:{(20,1),(47,1),(59,1),(62,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(48,1),(60,1),(62,1),(63,1),(117,1)}
        38:{3,5}:{(21,1),(23,1)}
        39:{3,4,7}:{(22,1),(23,1),(63,1),(340,1)}
        40:{2,3,4,6}:{(23,1),(51,1),(64,1),(65,1),(66,1),(121,1),(127,1),(135,1),(196,1),(197,1),(280,1),(341,1),(348,1),(352,1)}
        41:{3,4,6,7}:{(24,1),(68,1),(72,1),(145,1),(148,1),(330,1),(336,1),(382,1)}
        42:{2,5,7}:{(24,1),(27,1),(68,1),(69,1),(337,1)}
        43:{2,4,5}:{(26,1),(28,1),(71,1),(80,1),(337,1),(386,1)}
        44:{2,4,7}:{(25,1),(26,1),(29,1),(72,1),(382,1)}
        45:{3,4,6}:{(26,1),(71,1),(72,1),(148,1),(257,1),(264,1)}
        46:{1,4,5,6}:{(28,1),(34,1),(67,1),(75,1),(76,1),(78,1),(157,1),(170,1),(228,1),(261,1),(312,1),(325,1),(381,1)}
        47:{1,5,6}:{(27,1),(36,1),(69,1),(78,1)}
        48:{1,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(70,1),(78,1),(79,1),(161,1)}
        49:{1,3,5}:{(28,1),(30,1),(38,1),(71,1),(80,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(32,1),(39,1),(72,1),(79,1),(81,1)}
        51:{2,4,6}:{(30,1),(33,1),(80,1),(81,1),(82,1),(83,1),(160,1)}
        52:{1,3,4}:{(31,1),(83,1),(251,1),(264,1),(315,1)}
        53:{2,3,5}:{(31,1),(33,1),(80,1),(83,1),(84,1),(247,1),(253,1)}
        54:{2,3,7}:{(32,1),(33,1),(81,1),(85,1),(319,1)}
        55:{1,3,6}:{(33,1),(82,1),(84,1),(85,1),(86,1)}
        56:{2,5,6,7}:{(36,1),(74,1),(87,1),(89,1),(254,1),(366,1),(404,1)}
        57:{2,4,5,7}:{(34,1),(75,1),(89,1),(90,1),(156,1),(167,1),(169,1),(254,1),(307,1),(366,1),(401,1)}
        58:{3,5,6}:{(34,1),(38,1),(88,1),(90,1),(95,1),(308,1),(369,1),(403,1)}
        59:{3,5,6}:{(35,1),(36,1),(92,1),(95,1)}
        60:{4,5,7}:{(35,1),(92,1),(401,1),(405,1)}
        61:{3,4,5}:{(38,1),(88,1),(94,1),(315,1),(369,1),(405,1)}
        62:{2,4,6}:{(36,1),(37,1),(78,1),(92,1),(95,1),(160,1)}
        63:{3,5,7}:{(37,1),(38,1),(39,1),(95,1)}
        64:{2,3,5}:{(38,1),(40,1),(80,1),(94,1),(97,1),(369,1),(374,1),(378,1)}
        65:{2,3,4,7}:{(39,1),(40,1),(81,1),(96,1),(98,1),(169,1),(239,1),(240,1),(317,1),(368,1),(377,1)}
        66:{1,3,4,6}:{(40,1),(82,1),(97,1),(98,1),(99,1),(164,1),(165,1),(170,1),(178,1),(241,1),(251,1),(257,1),(264,1),(328,1),(336,1),(376,1)}
        67:{2,4,5,6}:{(43,1),(46,1),(101,1),(102,1),(106,1),(114,1),(184,1),(188,1),(214,1),(274,1),(300,1),(301,1),(363,1),(364,1)}
        68:{3,5,7}:{(41,1),(42,1),(103,1),(104,1),(365,1)}
        69:{2,5,6}:{(42,1),(47,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(104,1),(106,1),(107,1),(117,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(107,1),(296,1)}
        73:{2,3,4,6}:{(45,1),(51,1),(108,1),(109,1),(110,1),(121,1),(139,1),(184,1),(192,1),(197,1),(224,1),(297,1),(304,1),(352,1)}
        74:{1,5,6,7}:{(47,1),(56,1),(100,1),(112,1),(294,1),(338,1),(398,1)}
        75:{1,4,5,7}:{(46,1),(57,1),(101,1),(112,1),(113,1),(201,1),(213,1),(269,1),(294,1),(338,1)}
        76:{1,3,5,6}:{(46,1),(49,1),(58,1),(102,1),(111,1),(113,1),(114,1),(116,1),(354,1),(397,1)}
        77:{1,3,4,5}:{(49,1),(52,1),(61,1),(105,1),(111,1),(115,1),(134,1),(191,1),(203,1),(221,1),(277,1),(290,1),(354,1)}
        78:{1,4,6}:{(47,1),(48,1),(62,1),(106,1),(116,1),(205,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(63,1),(107,1),(116,1),(117,1)}
        80:{2,5}:{(49,1),(51,1),(118,1)}
        81:{2,4,7}:{(50,1),(51,1),(54,1),(117,1),(119,1)}
        82:{1,4,6}:{(51,1),(55,1),(118,1),(119,1),(122,1),(205,1)}
        83:{2,4}:{(52,1),(53,1),(122,1)}
        84:{1,3,5}:{(53,1),(55,1),(118,1),(122,1),(123,1),(210,1)}
        85:{1,3,7}:{(54,1),(55,1),(119,1),(124,1)}
        86:{1,2,6}:{(55,1),(123,1),(124,1),(282,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(125,1),(128,1),(211,1),(387,1),(410,1)}
        88:{3,4,6}:{(58,1),(61,1),(126,1),(127,1),(392,1)}
        89:{2,4,6,7}:{(56,1),(57,1),(62,1),(112,1),(125,1),(128,1),(200,1),(391,1)}
        90:{3,5,7}:{(57,1),(58,1),(126,1),(128,1),(340,1)}
        91:{2,3,5,6}:{(58,1),(64,1),(114,1),(127,1),(129,1),(130,1),(135,1),(197,1),(218,1)}
        92:{4,6}:{(59,1),(60,1)}
        93:{3,4,5,7}:{(60,1),(61,1),(63,1),(126,1),(132,1),(133,1),(211,1),(347,1),(389,1),(393,1),(409,1)}
        94:{2,4,5}:{(61,1),(64,1),(127,1),(134,1),(280,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,3,5,7}:{(63,1),(64,1),(65,1),(117,1),(133,1),(135,1),(136,1),(389,1),(396,1)}
        97:{1,3,5}:{(64,1),(66,1),(118,1),(134,1),(137,1),(221,1),(358,1),(365,1),(395,1)}
        98:{1,3,4,7}:{(65,1),(66,1),(119,1),(136,1),(138,1),(208,1),(213,1),(281,1),(292,1),(296,1),(303,1),(394,1)}
        99:{2,4,6}:{(66,1),(137,1),(138,1),(139,1),(209,1),(222,1),(224,1),(282,1)}
       100:{2,5,6,7}:{(69,1),(74,1),(140,1),(142,1),(305,1),(329,1),(385,1)}
       101:{2,4,5,7}:{(67,1),(75,1),(142,1),(143,1),(156,1),(225,1),(227,1),(256,1),(305,1),(329,1),(382,1)}
       102:{3,5,6}:{(67,1),(71,1),(141,1),(143,1),(148,1),(257,1),(332,1),(384,1)}
       103:{3,5,6}:{(68,1),(69,1),(145,1),(148,1)}
       104:{4,5,7}:{(68,1),(145,1),(382,1),(386,1)}
       105:{3,4,5}:{(71,1),(141,1),(147,1),(264,1),(332,1),(386,1)}
       106:{2,4,6}:{(69,1),(70,1),(78,1),(145,1),(148,1),(160,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(148,1)}
       108:{2,3,5}:{(71,1),(73,1),(80,1),(147,1),(150,1),(332,1),(337,1),(378,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(81,1),(149,1),(151,1),(181,1),(227,1),(240,1),(266,1),(331,1),(377,1)}
       110:{1,3,4,6}:{(73,1),(82,1),(150,1),(151,1),(152,1),(164,1),(165,1),(228,1),(236,1),(241,1),(251,1),(308,1),(315,1),(328,1),(373,1),(376,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(88,1),(141,1),(153,1),(154,1),(170,1),(228,1),(241,1),(257,1),(308,1)}
       112:{1,4,6,7}:{(74,1),(75,1),(78,1),(89,1),(142,1),(155,1),(244,1),(381,1)}
       113:{1,3,5,7}:{(75,1),(76,1),(90,1),(143,1),(153,1),(155,1),(156,1)}
       114:{2,5,6}:{(76,1),(80,1),(154,1),(156,1),(157,1),(160,1),(378,1),(407,1)}
       115:{2,4,5}:{(77,1),(80,1),(83,1),(154,1),(158,1),(159,1),(247,1),(327,1),(378,1)}
       116:{1,3,6}:{(78,1),(79,1),(95,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(85,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(86,1),(99,1),(152,1),(162,1),(163,1),(164,1),(166,1),(249,1),(251,1),(252,1),(318,1),(328,1),(376,1)}
       121:{2,3,4}:{(83,1),(158,1),(165,1),(253,1),(264,1),(315,1),(327,1)}
       122:{1,4}:{(83,1),(84,1)}
       123:{1,2,5}:{(84,1),(86,1),(166,1),(247,1)}
       124:{1,2,7}:{(85,1),(86,1),(319,1)}
       125:{4,6,7}:{(87,1),(92,1),(167,1),(401,1),(412,1)}
       126:{3,4,7}:{(88,1),(90,1),(169,1),(401,1)}
       127:{2,4,6}:{(88,1),(91,1),(94,1),(169,1),(170,1)}
       128:{3,6,7}:{(89,1),(90,1),(95,1),(403,1)}
       129:{2,3,5,7}:{(90,1),(91,1),(156,1),(169,1),(171,1),(172,1),(240,1),(254,1)}
       130:{1,3,5,6}:{(91,1),(97,1),(157,1),(170,1),(172,1),(173,1),(178,1),(241,1),(257,1),(261,1),(335,1)}
       131:{4,5,6}:{(92,1),(167,1),(174,1),(405,1),(412,1)}
       132:{3,4,6}:{(92,1),(93,1),(95,1),(174,1),(175,1),(403,1),(412,1)}
       133:{2,4,5,7}:{(93,1),(94,1),(96,1),(169,1),(175,1),(176,1),(254,1),(317,1),(374,1)}
       134:{1,4,5}:{(94,1),(97,1),(170,1),(177,1),(251,1),(386,1)}
       135:{2,3,6}:{(95,1),(96,1),(160,1),(175,1),(178,1),(403,1),(407,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(98,1),(161,1),(176,1),(178,1),(179,1),(263,1),(406,1)}
       137:{2,5}:{(97,1),(99,1)}
       138:{2,4,7}:{(98,1),(99,1),(179,1),(181,1),(319,1)}
       139:{2,3,6}:{(99,1),(164,1),(180,1),(181,1),(253,1),(257,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(182,1),(185,1),(267,1),(359,1),(400,1)}
       141:{3,4,6}:{(102,1),(105,1),(183,1),(184,1),(364,1)}
       142:{2,4,6,7}:{(100,1),(101,1),(106,1),(112,1),(182,1),(185,1),(200,1),(363,1)}
       143:{3,5,7}:{(101,1),(102,1),(183,1),(185,1),(296,1)}
       144:{2,3,5,6}:{(102,1),(108,1),(114,1),(184,1),(186,1),(187,1),(192,1),(197,1),(274,1)}
       145:{4,6}:{(103,1),(104,1)}
       146:{3,4,5,7}:{(104,1),(105,1),(107,1),(183,1),(189,1),(190,1),(267,1),(303,1),(361,1),(365,1),(399,1)}
       147:{2,4,5}:{(105,1),(108,1),(184,1),(191,1),(224,1)}
       148:{3,6}:{(106,1),(107,1)}
       149:{2,3,5,7}:{(107,1),(108,1),(109,1),(117,1),(190,1),(192,1),(193,1),(361,1),(396,1)}
       150:{1,3,5}:{(108,1),(110,1),(118,1),(191,1),(194,1),(277,1),(358,1),(393,1),(395,1)}
       151:{1,3,4,7}:{(109,1),(110,1),(119,1),(193,1),(195,1),(208,1),(269,1),(281,1),(292,1),(340,1),(347,1),(394,1)}
       152:{2,4,6}:{(110,1),(194,1),(195,1),(196,1),(209,1),(278,1),(280,1),(282,1)}
       153:{1,3,4,7}:{(111,1),(113,1),(126,1),(183,1),(198,1),(213,1),(269,1),(281,1),(296,1),(340,1)}
       154:{2,4,6}:{(111,1),(114,1),(115,1),(197,1),(198,1),(199,1),(282,1)}
       155:{1,3,6,7}:{(112,1),(113,1),(116,1),(128,1),(185,1),(200,1),(397,1)}
       156:{2,5,7}:{(113,1),(114,1),(198,1),(200,1),(201,1)}
       157:{1,5,6}:{(114,1),(118,1),(199,1),(201,1),(205,1),(395,1),(411,1)}
       158:{2,3,5}:{(115,1),(121,1),(197,1),(203,1),(221,1),(277,1)}
       159:{1,4,5}:{(115,1),(118,1),(122,1),(199,1),(203,1),(357,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(137,1),(194,1),(207,1),(358,1),(395,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(124,1),(138,1),(195,1),(206,1),(208,1),(292,1),(349,1),(394,1)}
       164:{1,3,6}:{(120,1),(139,1),(196,1),(207,1),(208,1),(210,1),(293,1)}
       165:{1,3,4}:{(121,1),(122,1),(203,1),(209,1),(210,1),(293,1),(357,1)}
       166:{1,2,4}:{(122,1),(123,1),(209,1),(210,1)}
       167:{4,5,7}:{(125,1),(131,1),(211,1)}
       168:{3,4,6,7}:{(125,1),(126,1),(128,1),(132,1),(211,1),(212,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(213,1)}
       170:{1,4,6}:{(127,1),(130,1),(134,1),(213,1),(214,1),(364,1)}
       171:{2,3,6,7}:{(128,1),(129,1),(135,1),(200,1),(212,1),(215,1)}
       172:{1,3,5,7}:{(129,1),(130,1),(201,1),(213,1),(215,1),(216,1),(281,1),(294,1),(296,1),(359,1)}
       173:{2,5,6}:{(130,1),(137,1),(214,1),(216,1),(222,1),(282,1)}
       174:{3,5,6}:{(131,1),(132,1),(211,1),(218,1),(393,1)}
       175:{2,4,6}:{(132,1),(133,1),(135,1),(218,1),(219,1)}
       176:{1,4,5,7}:{(133,1),(134,1),(136,1),(213,1),(219,1),(220,1),(292,1),(294,1),(358,1)}
       177:{2,4,5}:{(134,1),(137,1),(214,1),(221,1),(224,1)}
       178:{1,3,6}:{(135,1),(136,1),(205,1),(219,1),(222,1),(302,1),(411,1)}
       179:{2,5,7}:{(136,1),(137,1),(138,1),(222,1)}
       180:{2,3,5}:{(137,1),(139,1),(207,1),(221,1),(224,1)}
       181:{2,3,7}:{(138,1),(139,1),(208,1),(296,1)}
       182:{4,6,7}:{(140,1),(145,1),(225,1),(382,1),(408,1)}
       183:{3,4,7}:{(141,1),(143,1),(227,1),(382,1)}
       184:{2,4,6}:{(141,1),(144,1),(147,1),(227,1),(228,1)}
       185:{3,6,7}:{(142,1),(143,1),(148,1),(384,1)}
       186:{2,3,5,7}:{(143,1),(144,1),(156,1),(227,1),(229,1),(230,1),(240,1),(305,1)}
       187:{1,3,5,6}:{(144,1),(150,1),(157,1),(228,1),(230,1),(231,1),(236,1),(241,1),(308,1),(312,1),(372,1)}
       188:{4,5,6}:{(145,1),(225,1),(232,1),(386,1),(408,1)}
       189:{3,4,6}:{(145,1),(146,1),(148,1),(232,1),(233,1),(384,1),(408,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(149,1),(227,1),(233,1),(234,1),(266,1),(305,1),(337,1)}
       191:{1,4,5}:{(147,1),(150,1),(228,1),(235,1),(251,1),(405,1)}
       192:{2,3,6}:{(148,1),(149,1),(160,1),(233,1),(236,1),(384,1),(407,1)}
       193:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(234,1),(236,1),(237,1),(314,1),(406,1)}
       194:{2,5}:{(150,1),(152,1)}
       195:{2,4,7}:{(151,1),(152,1),(237,1),(239,1),(319,1)}
       196:{2,3,6}:{(152,1),(164,1),(238,1),(239,1),(253,1),(308,1)}
       197:{2,3,6}:{(154,1),(158,1),(240,1),(241,1),(257,1),(308,1)}
       198:{2,4,7}:{(153,1),(154,1),(156,1),(240,1),(242,1),(319,1)}
       199:{1,4,6}:{(154,1),(157,1),(159,1),(241,1),(242,1)}
       200:{2,6,7}:{(155,1),(156,1),(160,1),(244,1),(407,1)}
       201:{1,5,7}:{(156,1),(157,1),(242,1),(244,1)}
       202:{1,2,5,6}:{(157,1),(162,1),(173,1),(231,1),(243,1),(245,1),(246,1),(249,1),(318,1),(378,1),(407,1)}
       203:{1,3,5}:{(158,1),(159,1),(165,1),(241,1),(247,1)}
       204:{1,2,4,5}:{(159,1),(162,1),(166,1),(177,1),(235,1),(243,1),(247,1),(248,1),(251,1),(325,1),(327,1),(378,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(179,1),(237,1),(249,1),(250,1),(406,1)}
       207:{1,3,5}:{(162,1),(164,1),(180,1),(238,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(181,1),(239,1)}
       209:{2,4}:{(165,1),(247,1),(253,1)}
       210:{1,3}:{(166,1),(253,1)}
       211:{3,5,7}:{(167,1),(168,1),(174,1),(254,1)}
       212:{2,4,6,7}:{(168,1),(169,1),(171,1),(175,1),(254,1),(255,1)}
       213:{1,4,7}:{(169,1),(170,1),(172,1),(256,1),(382,1)}
       214:{2,4,6}:{(170,1),(173,1),(177,1),(256,1),(257,1)}
       215:{1,3,6,7}:{(171,1),(172,1),(178,1),(244,1),(255,1),(258,1),(330,1)}
       216:{2,5,7}:{(172,1),(173,1),(256,1),(258,1),(319,1)}
       217:{2,3,5,6}:{(173,1),(180,1),(246,1),(257,1),(259,1),(260,1),(265,1),(320,1),(332,1),(335,1),(337,1),(378,1),(384,1),(385,1),(407,1)}
       218:{2,5,6}:{(174,1),(175,1),(254,1),(261,1),(374,1)}
       219:{1,4,6}:{(175,1),(176,1),(178,1),(261,1),(262,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(179,1),(256,1),(262,1),(263,1),(266,1),(329,1),(337,1),(382,1),(386,1)}
       221:{3,5}:{(177,1),(257,1),(264,1)}
       222:{2,6}:{(178,1),(179,1)}
       223:{2,3,5,7}:{(179,1),(180,1),(181,1),(250,1),(263,1),(265,1),(266,1),(337,1)}
       224:{2,4}:{(180,1),(251,1),(264,1)}
       225:{4,5,7}:{(182,1),(188,1),(267,1)}
       226:{3,4,6,7}:{(182,1),(183,1),(185,1),(189,1),(267,1),(268,1)}
       227:{2,4,7}:{(183,1),(184,1),(186,1),(269,1)}
       228:{1,4,6}:{(184,1),(187,1),(191,1),(269,1),(270,1),(392,1)}
       229:{2,3,6,7}:{(185,1),(186,1),(192,1),(200,1),(268,1),(271,1)}
       230:{1,3,5,7}:{(186,1),(187,1),(201,1),(269,1),(271,1),(272,1),(281,1),(338,1),(340,1),(387,1)}
       231:{2,5,6}:{(187,1),(194,1),(270,1),(272,1),(278,1),(282,1)}
       232:{3,5,6}:{(188,1),(189,1),(267,1),(274,1),(365,1)}
       233:{2,4,6}:{(189,1),(190,1),(192,1),(274,1),(275,1)}
       234:{1,4,5,7}:{(190,1),(191,1),(193,1),(269,1),(275,1),(276,1),(292,1),(338,1),(358,1)}
       235:{2,4,5}:{(191,1),(194,1),(270,1),(277,1),(280,1)}
       236:{1,3,6}:{(192,1),(193,1),(205,1),(275,1),(278,1),(346,1),(411,1)}
       237:{2,5,7}:{(193,1),(194,1),(195,1),(278,1)}
       238:{2,3,5}:{(194,1),(196,1),(207,1),(277,1),(280,1)}
       239:{2,3,7}:{(195,1),(196,1),(208,1),(340,1)}
       240:{2,3,7}:{(197,1),(198,1),(281,1),(296,1),(340,1)}
       241:{1,3,6}:{(197,1),(199,1),(203,1),(281,1),(282,1)}
       242:{1,4,7}:{(198,1),(199,1),(201,1),(281,1)}
       243:{1,2,4,6}:{(199,1),(202,1),(204,1),(214,1),(270,1),(282,1),(283,1),(284,1),(287,1),(352,1)}
       244:{1,6,7}:{(200,1),(201,1),(205,1),(411,1)}
       245:{1,2,5,7}:{(201,1),(202,1),(216,1),(272,1),(283,1),(285,1),(286,1),(349,1),(396,1)}
       246:{1,3,5,6}:{(202,1),(207,1),(217,1),(273,1),(284,1),(286,1),(287,1),(291,1),(350,1),(354,1),(358,1),(395,1),(397,1),(398,1),(411,1)}
       247:{2,5}:{(203,1),(209,1),(282,1)}
       248:{1,3,5}:{(204,1),(210,1),(221,1),(277,1),(284,1),(289,1),(290,1)}
       249:{1,2,6}:{(205,1),(206,1),(222,1),(278,1),(291,1),(411,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(223,1),(279,1),(291,1),(292,1),(358,1)}
       251:{1,4}:{(207,1),(224,1),(280,1)}
       252:{1,2,4}:{(209,1),(288,1),(293,1),(357,1)}
       253:{2,3}:{(209,1),(210,1),(293,1)}
       254:{2,5,7}:{(211,1),(212,1),(218,1),(294,1)}
       255:{1,4,6,7}:{(212,1),(213,1),(215,1),(219,1),(294,1),(295,1)}
       256:{2,4,7}:{(213,1),(214,1),(216,1),(296,1)}
       257:{3,6}:{(214,1),(221,1),(296,1)}
       258:{2,6,7}:{(215,1),(216,1),(222,1)}
       259:{2,3,5,7}:{(216,1),(217,1),(286,1),(296,1),(298,1),(299,1),(351,1),(359,1),(361,1),(362,1),(396,1)}
       260:{2,4,6}:{(217,1),(224,1),(287,1),(297,1),(299,1),(300,1),(364,1)}
       261:{1,5,6}:{(218,1),(219,1),(294,1),(301,1),(358,1)}
       262:{2,4,6}:{(219,1),(220,1),(222,1),(301,1),(302,1),(364,1)}
       263:{3,5,7}:{(220,1),(221,1),(296,1),(302,1),(303,1),(365,1)}
       264:{3,4}:{(221,1),(224,1)}
       265:{2,3,6}:{(222,1),(223,1),(291,1),(302,1),(304,1)}
       266:{2,4,7}:{(223,1),(224,1),(292,1),(303,1),(304,1)}
       267:{3,5,7}:{(225,1),(226,1),(232,1),(305,1)}
       268:{2,4,6,7}:{(226,1),(227,1),(229,1),(233,1),(305,1),(306,1)}
       269:{1,4,7}:{(227,1),(228,1),(230,1),(307,1),(401,1)}
       270:{2,4,6}:{(228,1),(231,1),(235,1),(307,1),(308,1)}
       271:{1,3,6,7}:{(229,1),(230,1),(236,1),(244,1),(306,1),(309,1),(367,1)}
       272:{2,5,7}:{(230,1),(231,1),(307,1),(309,1),(319,1)}
       273:{2,3,5,6}:{(231,1),(238,1),(246,1),(308,1),(310,1),(311,1),(316,1),(320,1),(369,1),(372,1),(374,1),(378,1),(403,1),(404,1),(407,1)}
       274:{2,5,6}:{(232,1),(233,1),(305,1),(312,1),(337,1)}
       275:{1,4,6}:{(233,1),(234,1),(236,1),(312,1),(313,1)}
       276:{2,4,5,7}:{(234,1),(235,1),(237,1),(307,1),(313,1),(314,1),(317,1),(366,1),(374,1),(401,1),(405,1)}
       277:{3,5}:{(235,1),(308,1),(315,1)}
       278:{2,6}:{(236,1),(237,1)}
       279:{2,3,5,7}:{(237,1),(238,1),(239,1),(250,1),(314,1),(316,1),(317,1),(374,1)}
       280:{2,4}:{(238,1),(251,1),(315,1)}
       281:{1,3,7}:{(240,1),(241,1),(242,1),(319,1)}
       282:{2,6}:{(241,1),(247,1),(319,1)}
       283:{1,2,4,7}:{(242,1),(243,1),(245,1),(256,1),(307,1),(319,1),(321,1),(324,1),(377,1)}
       284:{1,3,6}:{(243,1),(248,1),(257,1),(308,1),(320,1),(321,1)}
       285:{1,2,6,7}:{(244,1),(245,1),(249,1),(258,1),(309,1),(323,1),(407,1)}
       286:{1,3,5,7}:{(245,1),(246,1),(259,1),(310,1),(321,1),(323,1),(324,1),(375,1),(380,1),(406,1)}
       287:{1,4,6}:{(246,1),(251,1),(260,1),(311,1),(324,1),(325,1)}
       288:{1,2,5}:{(247,1),(252,1),(318,1),(326,1)}
       289:{2,3,5}:{(247,1),(248,1),(253,1),(320,1),(326,1),(327,1),(378,1)}
       290:{1,3,4}:{(248,1),(251,1),(264,1),(315,1),(327,1)}
       291:{1,3,6}:{(249,1),(250,1),(265,1),(316,1),(328,1)}
       292:{1,4,7}:{(250,1),(251,1),(266,1),(317,1),(328,1)}
       293:{1,3}:{(252,1),(253,1)}
       294:{1,5,7}:{(254,1),(255,1),(261,1),(329,1)}
       295:{2,4,6,7}:{(255,1),(256,1),(258,1),(262,1),(329,1),(330,1),(382,1)}
       296:{3,7}:{(256,1),(257,1)}
       297:{3,4,6}:{(257,1),(260,1),(264,1),(331,1),(332,1),(384,1)}
       298:{2,3,6,7}:{(258,1),(259,1),(265,1),(323,1),(330,1),(333,1),(384,1),(407,1)}
       299:{2,4,7}:{(259,1),(260,1),(324,1),(331,1),(382,1)}
       300:{2,4,5}:{(260,1),(325,1),(332,1),(337,1),(378,1),(386,1)}
       301:{2,5,6}:{(261,1),(262,1),(329,1),(335,1),(337,1)}
       302:{3,6}:{(262,1),(263,1)}
       303:{3,4,7}:{(263,1),(264,1),(266,1),(336,1),(382,1)}
       304:{2,4,6}:{(265,1),(266,1),(328,1),(336,1),(337,1)}
       305:{2,5,7}:{(267,1),(268,1),(274,1),(338,1)}
       306:{1,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(338,1),(339,1)}
       307:{2,4,7}:{(269,1),(270,1),(272,1),(340,1)}
       308:{3,6}:{(270,1),(277,1),(340,1)}
       309:{2,6,7}:{(271,1),(272,1),(278,1)}
       310:{2,3,5,7}:{(272,1),(273,1),(286,1),(340,1),(342,1),(343,1),(351,1),(387,1),(389,1),(390,1),(396,1)}
       311:{2,4,6}:{(273,1),(280,1),(287,1),(341,1),(343,1),(344,1),(392,1)}
       312:{1,5,6}:{(274,1),(275,1),(338,1),(345,1),(358,1)}
       313:{2,4,6}:{(275,1),(276,1),(278,1),(345,1),(346,1),(392,1)}
       314:{3,5,7}:{(276,1),(277,1),(340,1),(346,1),(347,1),(393,1)}
       315:{3,4}:{(277,1),(280,1)}
       316:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       317:{2,4,7}:{(279,1),(280,1),(292,1),(347,1),(348,1)}
       318:{1,2,6}:{(282,1),(288,1),(349,1),(350,1)}
       319:{2,7}:{(281,1),(282,1)}
       320:{2,3,6}:{(282,1),(284,1),(289,1),(350,1),(351,1),(352,1)}
       321:{1,3,7}:{(283,1),(284,1),(296,1),(340,1),(351,1)}
       322:{1,3,4,6}:{(284,1),(287,1),(290,1),(297,1),(341,1),(352,1),(353,1),(354,1),(397,1)}
       323:{1,3,6,7}:{(285,1),(286,1),(291,1),(298,1),(342,1),(355,1),(397,1),(411,1)}
       324:{1,4,7}:{(286,1),(287,1),(299,1),(343,1)}
       325:{1,4,5}:{(287,1),(300,1),(344,1),(354,1),(358,1),(395,1)}
       326:{1,3,5}:{(288,1),(289,1),(293,1),(350,1),(357,1),(395,1)}
       327:{2,4}:{(289,1),(290,1),(357,1)}
       328:{1,4,6}:{(291,1),(292,1),(304,1),(348,1),(358,1)}
       329:{2,5,7}:{(294,1),(295,1),(301,1),(359,1)}
       330:{3,6,7}:{(295,1),(296,1),(302,1),(359,1)}
       331:{3,4,7}:{(296,1),(297,1),(299,1),(361,1)}
       332:{3,5}:{(297,1),(300,1)}
       333:{2,4,6,7}:{(298,1),(299,1),(304,1),(355,1),(360,1),(362,1),(363,1)}
       334:{2,4,5,7}:{(299,1),(300,1),(356,1),(361,1),(362,1),(363,1),(396,1),(399,1)}
       335:{3,5,6}:{(301,1),(302,1),(359,1),(364,1),(365,1)}
       336:{3,4,6}:{(302,1),(303,1),(304,1),(364,1),(365,1)}
       337:{2,5}:{(304,1),(358,1),(365,1)}
       338:{1,5,7}:{(305,1),(306,1),(312,1),(366,1)}
       339:{2,4,6,7}:{(306,1),(307,1),(309,1),(313,1),(366,1),(367,1),(401,1)}
       340:{3,7}:{(307,1),(308,1)}
       341:{3,4,6}:{(308,1),(311,1),(315,1),(368,1),(369,1),(403,1)}
       342:{2,3,6,7}:{(309,1),(310,1),(316,1),(323,1),(367,1),(370,1),(403,1),(407,1)}
       343:{2,4,7}:{(310,1),(311,1),(324,1),(368,1),(401,1)}
       344:{2,4,5}:{(311,1),(325,1),(369,1),(374,1),(378,1),(405,1)}
       345:{2,5,6}:{(312,1),(313,1),(366,1),(372,1),(374,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{3,4,7}:{(314,1),(315,1),(317,1),(373,1),(401,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(373,1),(374,1)}
       349:{1,2,7}:{(318,1),(319,1),(375,1)}
       350:{1,3,6}:{(318,1),(320,1),(326,1),(375,1),(376,1)}
       351:{2,3,7}:{(319,1),(320,1),(321,1),(375,1),(377,1)}
       352:{2,4,6}:{(320,1),(322,1),(327,1),(376,1),(377,1),(378,1),(407,1)}
       353:{1,3,4,7}:{(321,1),(322,1),(324,1),(331,1),(368,1),(377,1),(379,1)}
       354:{1,3,5}:{(322,1),(325,1),(332,1),(369,1),(378,1)}
       355:{1,4,6,7}:{(323,1),(324,1),(328,1),(333,1),(370,1),(380,1),(381,1)}
       356:{1,4,5,7}:{(324,1),(325,1),(334,1),(371,1),(379,1),(380,1),(381,1),(406,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(335,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(334,1),(384,1)}
       362:{2,5,7}:{(333,1),(337,1),(380,1),(383,1),(385,1)}
       363:{2,4,6}:{(334,1),(381,1),(384,1),(385,1),(407,1),(408,1)}
       364:{4,6}:{(335,1),(382,1),(386,1)}
       365:{3,5}:{(336,1),(337,1),(386,1)}
       366:{2,5,7}:{(338,1),(339,1),(345,1),(387,1)}
       367:{3,6,7}:{(339,1),(340,1),(346,1),(387,1)}
       368:{3,4,7}:{(340,1),(341,1),(343,1),(389,1)}
       369:{3,5}:{(341,1),(344,1)}
       370:{2,4,6,7}:{(342,1),(343,1),(348,1),(355,1),(388,1),(390,1),(391,1)}
       371:{2,4,5,7}:{(343,1),(344,1),(356,1),(389,1),(390,1),(391,1),(396,1),(409,1)}
       372:{3,5,6}:{(345,1),(346,1),(387,1),(392,1),(393,1)}
       373:{3,4,6}:{(346,1),(347,1),(348,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(393,1)}
       375:{1,3,7}:{(349,1),(350,1),(351,1),(394,1)}
       376:{1,4,6}:{(350,1),(352,1),(357,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(351,1),(352,1),(353,1),(394,1),(396,1)}
       378:{2,5}:{(352,1),(354,1),(395,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(356,1),(361,1),(389,1),(396,1),(397,1)}
       380:{1,5,7}:{(355,1),(358,1),(362,1),(390,1),(398,1)}
       381:{1,4,6}:{(356,1),(363,1),(391,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(364,1)}
       383:{3,5,7}:{(360,1),(362,1),(365,1),(399,1),(400,1)}
       384:{3,6}:{(361,1),(363,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(400,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(372,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(370,1),(373,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(371,1),(403,1)}
       390:{2,5,7}:{(370,1),(374,1),(380,1),(402,1),(404,1)}
       391:{2,4,6}:{(371,1),(381,1),(403,1),(404,1),(407,1),(412,1)}
       392:{4,6}:{(372,1),(401,1),(405,1)}
       393:{3,5}:{(373,1),(374,1),(405,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(384,1),(403,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{4,5,7}:{(382,1),(383,1),(386,1),(408,1)}
       400:{3,5,6}:{(383,1),(384,1),(385,1),(408,1)}
       401:{4,7}:{(387,1),(392,1)}
       402:{3,5,7}:{(388,1),(390,1),(393,1),(409,1),(410,1)}
       403:{3,6}:{(389,1),(391,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(410,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(405,1),(412,1)}
       410:{3,5,6}:{(402,1),(403,1),(404,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 582 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 583 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 584 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 585 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(33,1),(39,1),(41,1),(78,1),(79,1),(162,1),(175,1),(262,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(115,1),(227,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(57,1),(118,1),(218,1)}
         3:{1,3,4}:{(1,1),(9,1),(262,1),(278,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(79,1),(83,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(270,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(91,1),(104,1),(162,1),(166,1),(265,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(92,1),(167,1),(271,1)}
         8:{1,3,4,5}:{(3,1),(17,1),(18,1),(21,1),(50,1),(126,1),(128,1),(131,1),(227,1),(234,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(118,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(211,1),(248,1),(253,1),(313,1),(343,1),(384,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(321,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(136,1),(219,1),(344,1)}
        16:{2,3,4}:{(9,1),(30,1),(31,1),(83,1),(164,1),(278,1)}
        17:{2,4,5}:{(8,1),(9,1),(30,1),(33,1),(34,1),(39,1),(79,1),(164,1),(266,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(36,1),(80,1),(168,1),(170,1),(270,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(79,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(166,1),(173,1),(196,1),(199,1),(200,1),(201,1),(270,1),(280,1),(300,1),(368,1),(370,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(167,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(262,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(188,1),(265,1),(272,1)}
        30:{2,3,5}:{(16,1),(17,1),(50,1),(51,1),(227,1)}
        31:{1,3,4}:{(16,1),(19,1),(50,1),(52,1),(62,1),(115,1),(207,1)}
        32:{2,3,4,6}:{(16,1),(20,1),(51,1),(53,1),(54,1),(55,1),(74,1),(121,1),(123,1),(130,1),(154,1),(215,1),(225,1),(317,1),(320,1),(327,1),(329,1),(378,1)}
        33:{1,4,5}:{(17,1),(19,1),(50,1),(57,1),(64,1),(207,1),(304,1)}
        34:{2,4,6}:{(17,1),(18,1),(51,1),(57,1),(58,1),(59,1),(118,1)}
        35:{1,3,5,6}:{(18,1),(21,1),(58,1),(60,1),(61,1),(69,1),(137,1),(234,1),(335,1)}
        36:{1,3,4,7}:{(18,1),(59,1),(61,1),(120,1),(221,1),(223,1),(321,1)}
        37:{1,2,4}:{(19,1),(23,1),(52,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(384,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(118,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(225,1),(395,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(219,1),(249,1),(254,1),(321,1),(392,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(313,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(33,1),(79,1),(80,1)}
        51:{2,3,6}:{(30,1),(34,1),(80,1),(82,1),(270,1)}
        52:{2,4}:{(31,1),(79,1),(83,1)}
        53:{1,3,4,6}:{(31,1),(32,1),(38,1),(80,1),(84,1),(85,1),(86,1),(97,1),(161,1),(168,1),(179,1),(192,1),(203,1),(257,1),(262,1),(270,1),(278,1),(297,1),(353,1),(360,1),(366,1),(367,1),(401,1)}
        54:{2,3,5}:{(32,1),(39,1),(85,1),(87,1),(102,1),(196,1),(266,1),(355,1),(368,1),(398,1)}
        55:{2,3,4,7}:{(32,1),(40,1),(82,1),(86,1),(88,1),(111,1),(171,1),(174,1),(204,1),(267,1),(279,1),(358,1),(361,1),(402,1)}
        56:{1,2,4,5}:{(33,1),(37,1),(79,1),(89,1),(90,1),(98,1),(164,1),(175,1),(192,1),(266,1),(287,1)}
        57:{1,4,6}:{(33,1),(34,1),(80,1),(91,1),(92,1)}
        58:{2,5,6}:{(34,1),(35,1),(39,1),(91,1),(94,1),(104,1),(266,1),(357,1)}
        59:{2,4,7}:{(34,1),(36,1),(82,1),(92,1),(94,1),(167,1)}
        60:{1,4,5,6}:{(35,1),(41,1),(93,1),(95,1),(105,1),(168,1),(285,1),(287,1),(291,1),(371,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(94,1),(95,1),(96,1),(189,1)}
        62:{1,3}:{(37,1),(83,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(84,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(406,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(368,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(166,1),(195,1),(196,1),(291,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(167,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(270,1),(278,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(411,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(272,1),(280,1),(300,1),(362,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(353,1)}
        78:{1,2,4}:{(52,1),(114,1),(115,1),(207,1)}
        79:{2,5}:{(50,1),(52,1),(118,1)}
        80:{1,3,6}:{(50,1),(51,1),(57,1),(118,1),(120,1)}
        81:{2,3,5,6}:{(51,1),(54,1),(58,1),(119,1),(121,1),(122,1),(130,1),(137,1),(233,1),(239,1),(320,1)}
        82:{2,3,7}:{(51,1),(59,1),(120,1),(321,1)}
        83:{2,3}:{(52,1),(62,1),(115,1)}
        84:{2,4,6}:{(52,1),(53,1),(118,1),(123,1),(124,1),(125,1),(225,1),(229,1),(390,1),(393,1)}
        85:{1,3,5}:{(53,1),(54,1),(64,1),(124,1),(126,1),(227,1),(248,1),(304,1),(341,1),(384,1),(394,1),(414,1)}
        86:{1,3,4,7}:{(53,1),(55,1),(65,1),(120,1),(125,1),(127,1),(142,1),(212,1),(221,1),(245,1),(255,1),(305,1),(312,1),(321,1),(328,1),(391,1),(418,1)}
        87:{2,4,5}:{(54,1),(121,1),(126,1),(128,1),(225,1)}
        88:{2,3,5,7}:{(54,1),(55,1),(67,1),(127,1),(129,1),(130,1),(148,1),(249,1),(316,1),(386,1),(415,1)}
        89:{1,3,5}:{(56,1),(62,1),(117,1),(131,1),(132,1),(227,1)}
        90:{1,2,4,6}:{(56,1),(57,1),(118,1),(132,1),(133,1),(134,1),(215,1),(218,1),(236,1)}
        91:{1,5,6}:{(57,1),(58,1),(64,1),(136,1),(147,1),(304,1),(377,1)}
        92:{1,4,7}:{(57,1),(59,1),(120,1),(136,1)}
        93:{2,4,5,6}:{(58,1),(60,1),(66,1),(121,1),(135,1),(137,1),(138,1),(149,1),(218,1),(233,1),(239,1),(315,1),(332,1),(333,1),(387,1),(395,1)}
        94:{2,5,7}:{(58,1),(59,1),(61,1),(136,1),(139,1)}
        95:{1,4,5,7}:{(60,1),(61,1),(138,1),(140,1),(221,1),(325,1),(337,1)}
        96:{1,3,6,7}:{(61,1),(69,1),(139,1),(140,1),(242,1),(335,1)}
        97:{1,3,6}:{(62,1),(63,1),(123,1),(141,1),(142,1),(420,1)}
        98:{1,2,5}:{(63,1),(64,1),(124,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(125,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(218,1),(323,1),(390,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(219,1),(249,1),(337,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(321,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(329,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(384,1)}
       114:{1,2,5}:{(78,1),(79,1),(159,1),(160,1)}
       115:{1,3}:{(78,1),(83,1)}
       116:{1,2,4,6}:{(78,1),(84,1),(160,1),(161,1),(162,1),(163,1),(203,1),(257,1),(262,1),(265,1),(302,1),(353,1),(374,1)}
       117:{2,3,5}:{(79,1),(83,1),(89,1),(159,1),(164,1),(165,1),(266,1)}
       118:{2,6}:{(79,1),(80,1),(167,1)}
       119:{1,3,5,6}:{(80,1),(81,1),(85,1),(91,1),(166,1),(168,1),(169,1),(179,1),(270,1),(285,1),(291,1),(360,1),(370,1)}
       120:{1,3,7}:{(80,1),(82,1),(92,1),(167,1)}
       121:{2,4,6}:{(81,1),(87,1),(168,1),(170,1),(171,1)}
       122:{2,3,5,7}:{(81,1),(82,1),(94,1),(169,1),(171,1),(172,1),(189,1),(277,1),(292,1),(361,1)}
       123:{2,3,6}:{(83,1),(84,1),(97,1),(161,1),(173,1),(174,1),(270,1),(412,1)}
       124:{2,5}:{(84,1),(85,1)}
       125:{2,4,7}:{(84,1),(86,1),(167,1),(174,1),(176,1),(410,1)}
       126:{1,4,5}:{(85,1),(87,1),(168,1),(175,1),(192,1),(262,1),(413,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(88,1),(101,1),(176,1),(178,1),(179,1),(282,1),(299,1),(346,1),(423,1)}
       128:{3,4,5}:{(87,1),(102,1),(170,1),(278,1),(355,1),(413,1)}
       129:{2,4,5,7}:{(87,1),(88,1),(171,1),(178,1),(180,1),(181,1),(277,1),(279,1),(368,1)}
       130:{2,3,6}:{(88,1),(104,1),(179,1),(181,1),(199,1),(300,1),(357,1),(407,1),(424,1)}
       131:{1,3,4}:{(89,1),(164,1),(192,1),(278,1)}
       132:{1,3,6}:{(89,1),(90,1),(165,1),(184,1),(270,1)}
       133:{1,2,5,6}:{(90,1),(91,1),(98,1),(166,1),(183,1),(185,1),(195,1),(266,1),(357,1),(404,1)}
       134:{1,2,4,7}:{(90,1),(92,1),(167,1),(184,1),(185,1),(267,1),(271,1),(289,1)}
       135:{1,4,5,6}:{(91,1),(93,1),(100,1),(168,1),(186,1),(187,1),(198,1),(285,1),(345,1),(400,1)}
       136:{1,5,7}:{(91,1),(92,1),(94,1),(188,1)}
       137:{3,5,6}:{(93,1),(102,1),(170,1),(189,1),(199,1),(270,1),(355,1),(407,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(95,1),(171,1),(187,1),(189,1),(190,1),(271,1),(277,1),(292,1),(363,1),(365,1),(411,1)}
       139:{2,6,7}:{(94,1),(96,1),(104,1),(188,1),(357,1)}
       140:{1,4,6,7}:{(95,1),(96,1),(105,1),(190,1),(191,1),(371,1),(373,1)}
       141:{1,3,5}:{(97,1),(98,1),(173,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(174,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(175,1),(192,1),(194,1),(196,1),(284,1),(296,1),(369,1),(406,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(176,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(270,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(271,1),(364,1),(410,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(272,1),(300,1),(373,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(362,1),(367,1),(411,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(368,1)}
       159:{1,3,5}:{(114,1),(115,1),(117,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(118,1),(208,1),(210,1)}
       161:{1,3,6}:{(115,1),(116,1),(123,1),(211,1),(212,1),(397,1)}
       162:{1,2,5}:{(116,1),(124,1),(211,1),(248,1),(304,1),(384,1)}
       163:{1,2,4,7}:{(116,1),(125,1),(210,1),(212,1),(214,1),(255,1),(305,1),(312,1),(344,1)}
       164:{2,4}:{(117,1),(131,1),(207,1)}
       165:{2,3,6}:{(117,1),(118,1),(132,1),(208,1),(215,1),(217,1)}
       166:{2,5,6}:{(118,1),(119,1),(124,1),(218,1),(219,1),(229,1),(390,1)}
       167:{2,7}:{(118,1),(120,1)}
       168:{1,4,6}:{(119,1),(121,1),(126,1),(218,1),(221,1),(395,1)}
       169:{1,3,5,7}:{(119,1),(120,1),(122,1),(136,1),(219,1),(221,1),(222,1),(321,1),(325,1),(337,1),(391,1),(392,1)}
       170:{3,4,6}:{(121,1),(128,1),(137,1),(223,1),(395,1)}
       171:{2,4,7}:{(121,1),(122,1),(221,1),(223,1)}
       172:{2,3,6,7}:{(122,1),(130,1),(139,1),(222,1),(224,1),(242,1),(338,1)}
       173:{2,3,5}:{(123,1),(124,1),(141,1),(211,1),(225,1),(227,1)}
       174:{2,3,7}:{(123,1),(125,1),(142,1),(212,1),(321,1)}
       175:{2,4,5}:{(124,1),(126,1),(218,1),(225,1),(227,1)}
       176:{2,5,7}:{(124,1),(125,1),(127,1),(229,1)}
       177:{1,3,4,5}:{(126,1),(128,1),(145,1),(220,1),(227,1),(230,1),(244,1),(311,1),(330,1),(375,1)}
       178:{1,4,5,7}:{(126,1),(127,1),(129,1),(221,1),(228,1),(231,1),(245,1),(312,1),(325,1),(341,1),(384,1)}
       179:{1,3,6}:{(127,1),(130,1),(147,1),(229,1),(231,1),(331,1),(343,1),(377,1),(426,1)}
       180:{3,4,5,7}:{(128,1),(129,1),(148,1),(223,1),(232,1),(256,1),(326,1),(328,1),(386,1),(394,1),(422,1)}
       181:{2,4,6}:{(129,1),(130,1),(231,1),(232,1),(233,1)}
       182:{1,3,4,6}:{(131,1),(132,1),(215,1),(234,1),(235,1),(236,1),(317,1),(335,1)}
       183:{1,3,5,6}:{(132,1),(133,1),(141,1),(216,1),(234,1),(236,1),(237,1),(246,1),(335,1),(341,1),(381,1),(396,1),(414,1),(426,1)}
       184:{1,3,7}:{(132,1),(134,1),(217,1),(321,1)}
       185:{1,2,5,7}:{(133,1),(134,1),(136,1),(219,1),(237,1),(238,1),(316,1),(419,1)}
       186:{1,3,5,6}:{(135,1),(137,1),(145,1),(220,1),(239,1),(240,1),(250,1),(375,1),(416,1)}
       187:{1,4,5,7}:{(135,1),(136,1),(138,1),(221,1),(240,1),(241,1),(325,1)}
       188:{1,6,7}:{(136,1),(139,1),(147,1),(377,1)}
       189:{3,5,7}:{(137,1),(138,1),(223,1),(242,1),(321,1)}
       190:{2,4,6,7}:{(138,1),(139,1),(140,1),(149,1),(241,1),(242,1),(243,1),(338,1),(339,1),(387,1)}
       191:{1,5,6,7}:{(140,1),(150,1),(243,1),(325,1),(396,1)}
       192:{1,4}:{(141,1),(225,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(226,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(227,1),(244,1),(247,1),(420,1)}
       195:{1,2,6}:{(144,1),(147,1),(229,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(390,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(321,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(394,1)}
       207:{1,4}:{(159,1),(164,1)}
       208:{1,3,6}:{(159,1),(160,1),(165,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(162,1),(166,1),(258,1),(260,1),(261,1),(265,1),(291,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(167,1),(259,1)}
       211:{1,3,5}:{(161,1),(162,1),(173,1),(262,1)}
       212:{1,3,7}:{(161,1),(163,1),(174,1)}
       213:{1,2,4,5}:{(162,1),(175,1),(260,1),(262,1),(264,1),(284,1),(345,1),(352,1),(369,1),(374,1),(398,1)}
       214:{1,2,5,7}:{(162,1),(163,1),(176,1),(263,1),(265,1),(299,1),(346,1)}
       215:{2,4,6}:{(164,1),(165,1),(182,1),(257,1),(266,1),(267,1),(357,1)}
       216:{2,3,5,6}:{(165,1),(166,1),(173,1),(183,1),(258,1),(266,1),(268,1),(269,1),(270,1),(280,1),(350,1),(355,1),(357,1),(368,1),(370,1),(398,1),(407,1),(408,1),(424,1)}
       217:{2,3,7}:{(165,1),(167,1),(184,1),(259,1),(267,1)}
       218:{2,4,6}:{(166,1),(168,1),(175,1),(270,1),(271,1)}
       219:{2,5,7}:{(166,1),(167,1),(169,1),(271,1),(272,1),(410,1)}
       220:{1,3,4,6}:{(168,1),(170,1),(177,1),(186,1),(270,1),(273,1),(274,1),(360,1)}
       221:{1,4,7}:{(168,1),(169,1),(171,1),(271,1),(411,1)}
       222:{1,3,6,7}:{(169,1),(172,1),(179,1),(188,1),(272,1),(275,1),(362,1),(373,1)}
       223:{3,4,7}:{(170,1),(171,1),(189,1),(411,1)}
       224:{2,4,6,7}:{(171,1),(172,1),(181,1),(275,1),(276,1),(277,1)}
       225:{2,4}:{(173,1),(192,1),(262,1),(278,1)}
       226:{2,3,5,7}:{(173,1),(174,1),(176,1),(193,1),(263,1),(279,1),(280,1),(282,1),(368,1)}
       227:{3,5}:{(175,1),(270,1),(278,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(178,1),(271,1),(279,1),(282,1),(283,1),(363,1),(368,1),(411,1),(413,1)}
       229:{2,6}:{(176,1),(179,1)}
       230:{2,4,5}:{(177,1),(196,1),(273,1),(281,1),(284,1),(296,1),(352,1),(369,1),(398,1)}
       231:{1,4,6}:{(178,1),(179,1),(181,1),(283,1),(285,1)}
       232:{3,4,6}:{(180,1),(181,1),(199,1),(286,1),(301,1),(407,1),(425,1)}
       233:{2,5,6}:{(181,1),(277,1),(285,1),(286,1),(368,1)}
       234:{1,3,5}:{(182,1),(266,1),(287,1),(355,1)}
       235:{1,3,4,7}:{(182,1),(184,1),(267,1),(288,1),(289,1),(358,1)}
       236:{1,4,6}:{(183,1),(192,1),(268,1),(287,1),(289,1)}
       237:{1,3,5,7}:{(183,1),(184,1),(185,1),(269,1),(289,1),(290,1),(372,1),(405,1),(423,1)}
       238:{1,2,6,7}:{(185,1),(188,1),(195,1),(272,1),(290,1),(357,1)}
       239:{2,5,6}:{(186,1),(196,1),(273,1),(291,1),(292,1),(300,1),(398,1),(424,1)}
       240:{1,3,5,7}:{(186,1),(187,1),(189,1),(274,1),(292,1),(293,1)}
       241:{1,4,6,7}:{(187,1),(188,1),(190,1),(198,1),(293,1),(294,1),(400,1)}
       242:{3,6,7}:{(189,1),(190,1),(199,1),(407,1)}
       243:{2,5,6,7}:{(190,1),(191,1),(200,1),(277,1),(294,1),(295,1),(363,1),(408,1)}
       244:{1,3,4}:{(192,1),(194,1),(278,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(279,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(280,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(369,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(410,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(411,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(215,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(211,1),(216,1),(304,1),(306,1),(307,1),(308,1),(313,1),(375,1),(377,1),(384,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(217,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(213,1),(218,1),(306,1),(308,1),(309,1),(323,1),(378,1),(390,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(219,1),(307,1),(309,1),(310,1),(337,1),(415,1)}
       262:{1,4}:{(211,1),(225,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(214,1),(226,1),(312,1),(313,1),(384,1)}
       264:{1,3,5}:{(213,1),(227,1),(308,1),(311,1),(314,1),(397,1)}
       265:{1,2,6}:{(214,1),(229,1),(313,1),(343,1),(377,1)}
       266:{2,5}:{(215,1),(234,1),(304,1)}
       267:{2,4,7}:{(215,1),(217,1),(235,1),(305,1),(316,1)}
       268:{2,4,6}:{(216,1),(225,1),(236,1),(306,1),(315,1),(317,1),(318,1),(395,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(219,1),(237,1),(307,1),(316,1),(318,1),(319,1),(321,1),(382,1),(386,1),(389,1),(392,1),(415,1)}
       270:{3,6}:{(218,1),(227,1),(321,1)}
       271:{2,4,7}:{(218,1),(219,1),(221,1),(321,1)}
       272:{2,6,7}:{(219,1),(222,1),(229,1)}
       273:{2,4,6}:{(220,1),(230,1),(239,1),(320,1),(323,1),(324,1),(390,1)}
       274:{1,3,4,7}:{(220,1),(221,1),(223,1),(240,1),(321,1),(324,1),(391,1)}
       275:{1,4,6,7}:{(221,1),(222,1),(224,1),(231,1),(322,1),(325,1)}
       276:{3,4,6,7}:{(223,1),(224,1),(232,1),(242,1),(326,1),(339,1)}
       277:{2,5,7}:{(224,1),(233,1),(325,1),(326,1)}
       278:{3,4}:{(225,1),(227,1)}
       279:{2,4,7}:{(225,1),(226,1),(245,1),(312,1),(328,1),(329,1)}
       280:{2,3,6}:{(226,1),(229,1),(246,1),(313,1),(329,1),(331,1)}
       281:{2,3,5}:{(227,1),(230,1),(320,1),(327,1),(330,1)}
       282:{3,5,7}:{(227,1),(228,1),(321,1),(328,1),(331,1),(394,1)}
       283:{2,4,6}:{(228,1),(229,1),(231,1),(331,1),(332,1),(395,1)}
       284:{1,4,5}:{(230,1),(248,1),(323,1),(330,1),(340,1),(383,1),(414,1)}
       285:{1,5,6}:{(231,1),(233,1),(325,1),(332,1),(341,1),(384,1)}
       286:{3,5,6}:{(232,1),(233,1),(326,1),(333,1),(394,1)}
       287:{1,4,5}:{(234,1),(236,1),(315,1),(341,1),(414,1)}
       288:{1,3,5,7}:{(234,1),(235,1),(316,1),(334,1),(335,1),(386,1)}
       289:{1,4,7}:{(236,1),(237,1),(318,1)}
       290:{1,3,6,7}:{(237,1),(238,1),(246,1),(319,1),(335,1),(336,1),(426,1)}
       291:{1,5,6}:{(239,1),(248,1),(323,1),(337,1),(343,1),(414,1),(426,1)}
       292:{2,5,7}:{(239,1),(240,1),(324,1),(337,1),(338,1)}
       293:{1,3,6,7}:{(240,1),(241,1),(242,1),(250,1),(338,1),(416,1)}
       294:{1,5,6,7}:{(241,1),(243,1),(251,1),(325,1),(417,1)}
       295:{3,5,6,7}:{(242,1),(243,1),(252,1),(326,1),(339,1),(392,1),(421,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(329,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(390,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(266,1)}
       305:{1,4,7}:{(257,1),(259,1),(267,1),(346,1)}
       306:{1,4,6}:{(258,1),(262,1),(268,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(269,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(264,1),(270,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(271,1),(348,1),(351,1),(364,1),(402,1),(410,1)}
       310:{1,2,6,7}:{(261,1),(265,1),(272,1),(349,1),(373,1),(424,1)}
       311:{1,3,4}:{(262,1),(264,1),(278,1),(352,1)}
       312:{1,4,7}:{(262,1),(263,1),(279,1),(353,1)}
       313:{1,3,6}:{(263,1),(265,1),(280,1),(353,1)}
       314:{2,3,5}:{(264,1),(350,1),(352,1),(354,1),(369,1),(398,1),(412,1)}
       315:{2,4,5}:{(266,1),(268,1),(287,1),(345,1),(355,1),(368,1),(398,1),(413,1)}
       316:{2,5,7}:{(266,1),(267,1),(288,1),(346,1),(357,1)}
       317:{3,4,6}:{(268,1),(270,1),(278,1),(355,1),(358,1),(407,1)}
       318:{2,4,7}:{(268,1),(269,1),(289,1),(348,1),(358,1),(411,1)}
       319:{2,3,6,7}:{(269,1),(272,1),(280,1),(290,1),(349,1),(357,1),(359,1),(362,1),(407,1),(424,1)}
       320:{2,3,6}:{(270,1),(273,1),(281,1),(360,1),(361,1)}
       321:{3,7}:{(270,1),(271,1)}
       322:{2,4,6,7}:{(271,1),(272,1),(275,1),(283,1),(362,1),(363,1),(411,1)}
       323:{1,4,6}:{(273,1),(284,1),(291,1),(360,1),(364,1)}
       324:{2,4,7}:{(273,1),(274,1),(292,1),(361,1),(364,1),(410,1)}
       325:{1,5,7}:{(275,1),(277,1),(285,1),(363,1)}
       326:{3,5,7}:{(276,1),(277,1),(286,1),(365,1)}
       327:{2,3,4}:{(278,1),(281,1),(296,1),(352,1),(366,1),(412,1)}
       328:{3,4,7}:{(278,1),(279,1),(282,1),(367,1),(411,1)}
       329:{2,4,6}:{(279,1),(280,1),(297,1),(353,1),(367,1),(368,1)}
       330:{1,3,5}:{(281,1),(284,1),(360,1),(366,1),(369,1)}
       331:{3,6}:{(282,1),(283,1)}
       332:{2,5,6}:{(283,1),(285,1),(363,1),(368,1),(370,1)}
       333:{4,5,6}:{(286,1),(301,1),(365,1),(413,1),(425,1)}
       334:{1,4,5,7}:{(287,1),(288,1),(289,1),(356,1),(371,1),(372,1),(423,1)}
       335:{1,3,6}:{(288,1),(357,1),(371,1),(407,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(297,1),(359,1),(371,1),(372,1)}
       337:{1,5,7}:{(291,1),(292,1),(364,1),(373,1)}
       338:{2,6,7}:{(292,1),(293,1),(300,1),(373,1),(424,1)}
       339:{4,6,7}:{(295,1),(301,1),(365,1),(411,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(368,1)}
       342:{1,2,5}:{(298,1),(302,1),(369,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(410,1)}
       345:{1,4,5}:{(304,1),(306,1),(315,1),(375,1),(384,1)}
       346:{1,5,7}:{(304,1),(305,1),(316,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(311,1),(317,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(318,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(313,1),(319,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(314,1),(378,1),(381,1),(382,1),(390,1)}
       351:{1,3,7}:{(308,1),(309,1),(321,1),(382,1)}
       352:{2,4}:{(311,1),(314,1),(383,1)}
       353:{1,4,6}:{(312,1),(313,1),(329,1),(384,1)}
       354:{1,3,5}:{(314,1),(381,1),(383,1),(385,1),(414,1),(420,1)}
       355:{3,5}:{(315,1),(317,1)}
       356:{2,4,5,7}:{(315,1),(316,1),(318,1),(334,1),(376,1),(386,1),(387,1),(389,1),(415,1),(422,1)}
       357:{2,6}:{(316,1),(335,1),(377,1)}
       358:{3,4,7}:{(317,1),(318,1),(321,1),(386,1)}
       359:{2,4,6,7}:{(318,1),(319,1),(329,1),(336,1),(380,1),(387,1),(388,1),(389,1)}
       360:{1,3,6}:{(320,1),(323,1),(330,1),(390,1),(391,1)}
       361:{2,3,7}:{(320,1),(321,1),(324,1),(391,1)}
       362:{3,6,7}:{(321,1),(322,1),(331,1),(392,1)}
       363:{2,5,7}:{(322,1),(325,1),(332,1),(392,1)}
       364:{1,4,7}:{(323,1),(324,1),(337,1),(391,1)}
       365:{4,5,7}:{(326,1),(333,1),(339,1)}
       366:{1,3,4}:{(327,1),(330,1),(340,1),(383,1),(393,1),(397,1),(420,1)}
       367:{3,4,6}:{(328,1),(329,1),(331,1),(394,1),(395,1)}
       368:{2,5}:{(329,1),(341,1),(384,1),(394,1)}
       369:{2,5}:{(330,1),(390,1),(393,1)}
       370:{3,5,6}:{(331,1),(332,1),(392,1),(394,1),(395,1)}
       371:{1,4,6}:{(334,1),(335,1),(387,1),(396,1),(426,1)}
       372:{1,5,7}:{(336,1),(341,1),(389,1),(396,1)}
       373:{1,6,7}:{(337,1),(338,1),(343,1),(426,1)}
       374:{1,2,4}:{(340,1),(342,1),(393,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(355,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(356,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(357,1)}
       378:{2,4,6}:{(347,1),(350,1),(352,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(358,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(353,1),(359,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(354,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(410,1)}
       383:{1,4}:{(352,1),(354,1)}
       384:{1,5}:{(353,1),(368,1)}
       385:{1,2,5}:{(354,1),(369,1),(404,1),(406,1)}
       386:{3,5,7}:{(355,1),(356,1),(358,1),(407,1)}
       387:{2,4,6}:{(356,1),(357,1),(371,1),(400,1),(407,1),(408,1),(424,1),(425,1)}
       388:{3,4,6,7}:{(358,1),(359,1),(362,1),(367,1),(407,1),(409,1),(411,1),(425,1)}
       389:{2,5,7}:{(359,1),(368,1),(372,1),(403,1),(408,1),(409,1)}
       390:{2,6}:{(360,1),(369,1),(410,1)}
       391:{1,3,7}:{(360,1),(361,1),(364,1),(410,1)}
       392:{3,5,7}:{(362,1),(363,1),(370,1),(411,1)}
       393:{2,4}:{(366,1),(369,1),(412,1)}
       394:{3,5}:{(367,1),(368,1),(413,1)}
       395:{4,6}:{(370,1),(411,1),(413,1)}
       396:{1,5,6}:{(371,1),(372,1),(408,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(386,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(387,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(383,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(384,1),(389,1),(417,1)}
       404:{1,2,6}:{(381,1),(385,1),(390,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{1,2,4}:{(383,1),(385,1),(393,1),(420,1)}
       407:{3,6}:{(386,1),(387,1)}
       408:{2,5,6}:{(387,1),(389,1),(396,1),(417,1),(421,1)}
       409:{3,5,7}:{(388,1),(389,1),(394,1),(421,1),(422,1)}
       410:{2,7}:{(390,1),(391,1)}
       411:{4,7}:{(392,1),(395,1)}
       412:{2,3}:{(393,1),(397,1),(420,1)}
       413:{4,5}:{(394,1),(395,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(407,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(408,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(410,1)}
       420:{1,3}:{(406,1),(412,1)}
       421:{3,5,6}:{(407,1),(408,1),(409,1),(425,1)}
       422:{4,5,7}:{(409,1),(411,1),(413,1),(425,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 586 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 587 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 588 :   0:{1,4,5,6}:{(1,1),(3,1),(4,1),(55,1),(62,1),(141,1),(201,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(6,1),(8,1),(9,1),(13,1),(33,1),(37,1),(84,1),(93,1),(158,1),(171,1),(249,1),(263,1),(346,1)}
         2:{1,5,6,7}:{(7,1),(11,1),(165,1),(274,1)}
         3:{1,4,5,7}:{(0,1),(8,1),(11,1),(12,1),(81,1),(92,1),(165,1)}
         4:{1,3,5,6}:{(0,1),(9,1),(10,1),(12,1),(13,1),(179,1),(272,1)}
         5:{1,3,4,5}:{(10,1),(14,1),(34,1),(48,1),(87,1),(107,1),(161,1),(179,1)}
         6:{1,4,5,6}:{(1,1),(16,1),(17,1),(27,1),(62,1),(196,1),(201,1),(290,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(18,1),(20,1),(125,1),(209,1),(313,1)}
         8:{2,4,5,7}:{(1,1),(3,1),(16,1),(20,1),(21,1),(26,1),(54,1),(59,1),(61,1),(125,1),(127,1),(209,1),(309,1)}
         9:{3,5,6}:{(1,1),(19,1),(21,1),(128,1),(212,1),(311,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(19,1),(23,1),(24,1),(62,1),(68,1),(128,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(20,1),(25,1),(114,1),(226,1)}
        12:{1,3,5,7}:{(3,1),(4,1),(21,1),(23,1),(25,1),(26,1)}
        13:{2,5,6}:{(4,1),(24,1),(26,1),(27,1),(222,1),(320,1)}
        14:{2,4,5}:{(5,1),(24,1),(28,1),(29,1),(74,1),(143,1),(222,1)}
        15:{1,5,6,7}:{(7,1),(31,1),(165,1),(336,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(46,1),(92,1),(165,1)}
        17:{1,3,5,6}:{(6,1),(9,1),(30,1),(32,1),(33,1),(240,1),(334,1)}
        18:{3,5,6,7}:{(7,1),(35,1),(38,1),(90,1),(258,1),(357,1)}
        19:{3,4,6}:{(9,1),(34,1),(36,1),(37,1),(346,1)}
        20:{2,4,6,7}:{(7,1),(8,1),(11,1),(31,1),(35,1),(38,1),(45,1),(80,1),(263,1)}
        21:{3,5,7}:{(8,1),(9,1),(36,1),(38,1),(167,1)}
        22:{2,3,5,6}:{(9,1),(13,1),(33,1),(37,1),(39,1),(40,1),(42,1),(77,1),(83,1),(155,1),(158,1)}
        23:{1,3,4,7}:{(10,1),(12,1),(36,1),(43,1),(92,1),(98,1),(167,1)}
        24:{2,4,6}:{(10,1),(13,1),(14,1),(42,1),(43,1),(44,1),(99,1)}
        25:{1,3,6,7}:{(11,1),(12,1),(38,1),(45,1),(272,1)}
        26:{2,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1)}
        27:{1,5,6}:{(13,1),(44,1),(46,1),(269,1),(362,1)}
        28:{2,3,5}:{(14,1),(41,1),(42,1),(48,1),(161,1)}
        29:{1,4,5}:{(14,1),(44,1),(48,1),(183,1),(269,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(50,1),(51,1),(52,1),(62,1),(111,1),(128,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(20,1),(53,1),(71,1),(290,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(21,1),(51,1),(53,1),(54,1)}
        33:{2,5,6}:{(17,1),(52,1),(54,1),(55,1),(286,1),(373,1)}
        34:{3,4,5}:{(19,1),(57,1),(212,1),(377,1),(387,1)}
        35:{4,6,7}:{(18,1),(59,1),(309,1),(395,1)}
        36:{3,4,7}:{(19,1),(21,1),(61,1),(309,1)}
        37:{2,4,6}:{(19,1),(22,1),(57,1),(61,1),(62,1)}
        38:{3,6,7}:{(20,1),(21,1),(311,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(26,1),(54,1),(61,1),(63,1),(64,1),(67,1),(110,1),(125,1)}
        40:{1,3,5,6}:{(22,1),(27,1),(55,1),(62,1),(64,1),(65,1),(68,1),(111,1),(118,1),(128,1),(198,1),(201,1),(299,1)}
        41:{2,3,4}:{(28,1),(66,1),(143,1),(204,1),(216,1)}
        42:{2,3,6}:{(24,1),(28,1),(67,1),(68,1),(128,1)}
        43:{2,4,7}:{(23,1),(24,1),(26,1),(67,1),(69,1),(135,1)}
        44:{1,4,6}:{(24,1),(27,1),(29,1),(68,1),(69,1)}
        45:{2,6,7}:{(25,1),(26,1),(71,1),(320,1)}
        46:{1,5,7}:{(26,1),(27,1),(69,1),(71,1)}
        47:{1,2,5,6}:{(27,1),(65,1),(70,1),(72,1),(73,1),(189,1),(197,1),(222,1),(293,1),(319,1),(320,1),(391,1)}
        48:{1,3,5}:{(28,1),(29,1),(66,1),(68,1),(74,1)}
        49:{1,2,4,5}:{(29,1),(70,1),(74,1),(75,1),(122,1),(132,1),(141,1),(143,1),(197,1),(222,1),(228,1),(295,1),(315,1),(380,1)}
        50:{1,3,4,5}:{(30,1),(34,1),(76,1),(87,1),(146,1),(161,1),(234,1),(240,1)}
        51:{1,3,4,7}:{(30,1),(32,1),(36,1),(78,1),(92,1),(148,1),(167,1)}
        52:{2,4,6}:{(30,1),(33,1),(76,1),(77,1),(78,1),(79,1),(149,1)}
        53:{1,3,6,7}:{(31,1),(32,1),(38,1),(80,1),(334,1)}
        54:{2,5,7}:{(32,1),(33,1),(78,1),(80,1),(81,1)}
        55:{1,5,6}:{(33,1),(79,1),(81,1),(331,1),(404,1)}
        56:{3,4,5,7}:{(34,1),(36,1),(85,1),(86,1),(90,1),(260,1),(356,1),(407,1),(441,1)}
        57:{2,4,5}:{(34,1),(37,1),(83,1),(87,1),(339,1)}
        58:{2,3,4,6}:{(37,1),(41,1),(42,1),(77,1),(83,1),(88,1),(89,1),(145,1),(155,1),(168,1),(177,1),(238,1),(253,1),(339,1),(409,1)}
        59:{4,5,7}:{(35,1),(84,1),(90,1)}
        60:{3,4,6,7}:{(35,1),(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{2,4,7}:{(36,1),(37,1),(39,1),(92,1)}
        62:{1,4,6}:{(37,1),(40,1),(87,1),(92,1),(93,1),(346,1)}
        63:{2,3,6,7}:{(38,1),(39,1),(45,1),(80,1),(91,1),(94,1),(155,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(46,1),(81,1),(92,1),(94,1),(95,1),(98,1),(148,1),(165,1),(167,1),(258,1)}
        65:{2,5,6}:{(40,1),(93,1),(95,1),(99,1),(149,1),(157,1),(246,1)}
        66:{1,3,4}:{(41,1),(48,1),(97,1),(172,1),(183,1)}
        67:{2,3,7}:{(42,1),(43,1),(98,1),(167,1)}
        68:{1,3,6}:{(42,1),(44,1),(48,1),(98,1),(99,1)}
        69:{1,4,7}:{(43,1),(44,1),(46,1),(98,1)}
        70:{1,2,4,6}:{(44,1),(47,1),(49,1),(93,1),(99,1),(100,1),(101,1),(104,1),(177,1),(276,1),(360,1),(411,1)}
        71:{1,6,7}:{(45,1),(46,1),(362,1)}
        72:{1,2,5,7}:{(46,1),(47,1),(95,1),(100,1),(102,1),(103,1),(235,1),(270,1),(363,1),(420,1)}
        73:{1,3,5,6}:{(47,1),(96,1),(101,1),(103,1),(104,1),(179,1),(236,1),(245,1),(272,1),(274,1),(331,1),(340,1),(404,1),(412,1)}
        74:{2,5}:{(48,1),(97,1),(99,1)}
        75:{1,3,5}:{(49,1),(101,1),(106,1),(107,1),(161,1),(172,1),(408,1)}
        76:{2,4,5}:{(50,1),(52,1),(108,1),(109,1),(187,1),(281,1),(286,1)}
        77:{2,3,6}:{(52,1),(108,1),(110,1),(111,1),(128,1)}
        78:{2,4,7}:{(51,1),(52,1),(54,1),(110,1),(112,1),(190,1)}
        79:{1,4,6}:{(52,1),(55,1),(109,1),(111,1),(112,1)}
        80:{2,6,7}:{(53,1),(54,1),(114,1),(373,1)}
        81:{1,5,7}:{(54,1),(55,1),(112,1),(114,1)}
        82:{1,2,5,6}:{(55,1),(65,1),(113,1),(115,1),(116,1),(134,1),(197,1),(286,1),(293,1),(372,1),(373,1),(391,1)}
        83:{2,3,5}:{(57,1),(58,1),(118,1),(212,1),(222,1),(286,1),(431,1)}
        84:{4,5,6}:{(59,1),(119,1),(395,1),(448,1)}
        85:{3,4,6}:{(56,1),(119,1),(120,1),(311,1),(395,1)}
        86:{2,4,5,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(121,1),(125,1),(379,1),(431,1)}
        87:{1,4,5}:{(57,1),(62,1),(118,1),(122,1),(295,1),(387,1)}
        88:{2,3,4,7}:{(58,1),(61,1),(67,1),(110,1),(117,1),(123,1),(211,1),(221,1),(285,1),(303,1),(379,1)}
        89:{1,3,4,6}:{(58,1),(62,1),(66,1),(68,1),(111,1),(118,1),(123,1),(124,1),(128,1),(186,1),(198,1),(204,1),(206,1),(220,1),(284,1),(295,1),(300,1),(381,1)}
        90:{3,5,7}:{(59,1),(60,1),(119,1),(125,1)}
        91:{2,4,6,7}:{(60,1),(61,1),(63,1),(120,1),(125,1),(126,1)}
        92:{1,4,7}:{(61,1),(62,1),(64,1),(127,1),(309,1)}
        93:{2,4,6}:{(62,1),(65,1),(122,1),(127,1),(128,1)}
        94:{1,3,6,7}:{(63,1),(64,1),(71,1),(114,1),(126,1),(129,1),(198,1),(210,1)}
        95:{2,5,7}:{(64,1),(65,1),(127,1),(129,1),(135,1),(190,1)}
        96:{2,3,5,6}:{(65,1),(73,1),(116,1),(128,1),(130,1),(131,1),(136,1),(191,1),(200,1),(212,1),(222,1),(286,1),(292,1),(296,1),(299,1),(311,1),(313,1),(320,1),(373,1),(378,1),(384,1),(391,1),(430,1),(431,1),(449,1)}
        97:{2,4}:{(66,1),(74,1),(133,1)}
        98:{1,3,7}:{(67,1),(68,1),(69,1),(135,1)}
        99:{2,6}:{(68,1),(74,1),(135,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(72,1),(127,1),(135,1),(137,1),(140,1),(221,1),(324,1),(397,1),(433,1)}
       101:{1,3,6}:{(70,1),(75,1),(128,1),(136,1),(137,1),(430,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(129,1),(139,1),(293,1),(320,1),(398,1),(438,1)}
       103:{1,3,5,7}:{(72,1),(73,1),(130,1),(137,1),(139,1),(140,1),(225,1),(283,1),(371,1)}
       104:{1,4,6}:{(73,1),(131,1),(140,1),(141,1),(295,1)}
       105:{1,2,5}:{(74,1),(132,1),(134,1),(142,1),(315,1)}
       106:{2,3,5}:{(74,1),(75,1),(133,1),(136,1),(142,1),(143,1),(216,1),(222,1),(315,1)}
       107:{1,3,4}:{(75,1),(143,1),(204,1),(295,1),(377,1)}
       108:{2,3,5}:{(76,1),(77,1),(145,1),(146,1),(161,1)}
       109:{1,4,5}:{(76,1),(79,1),(146,1),(327,1),(331,1)}
       110:{2,3,7}:{(77,1),(78,1),(148,1),(167,1)}
       111:{1,3,6}:{(77,1),(79,1),(146,1),(148,1),(149,1)}
       112:{1,4,7}:{(78,1),(79,1),(81,1),(148,1)}
       113:{1,2,4,6}:{(79,1),(82,1),(93,1),(147,1),(149,1),(150,1),(151,1),(154,1),(238,1),(402,1),(411,1),(439,1)}
       114:{1,6,7}:{(80,1),(81,1),(404,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(95,1),(150,1),(152,1),(153,1),(174,1),(332,1),(405,1),(420,1)}
       116:{1,3,5,6}:{(82,1),(96,1),(151,1),(153,1),(154,1),(175,1),(240,1),(245,1),(269,1),(334,1),(336,1),(340,1),(362,1),(412,1)}
       117:{2,3,5,7}:{(83,1),(86,1),(88,1),(155,1),(156,1),(260,1),(270,1),(332,1)}
       118:{1,3,5}:{(83,1),(87,1),(89,1),(157,1),(161,1),(269,1),(331,1),(347,1),(412,1)}
       119:{3,5,6}:{(84,1),(85,1),(90,1),(158,1),(441,1)}
       120:{2,4,6}:{(85,1),(86,1),(155,1),(158,1),(159,1)}
       121:{1,4,5,7}:{(86,1),(87,1),(92,1),(156,1),(159,1),(160,1),(165,1),(341,1),(412,1)}
       122:{2,4,5}:{(87,1),(93,1),(157,1),(161,1),(248,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(92,1),(98,1),(148,1),(156,1),(163,1),(167,1),(251,1),(254,1),(268,1),(330,1),(341,1)}
       124:{2,4,6}:{(89,1),(97,1),(99,1),(149,1),(157,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       125:{2,5,7}:{(90,1),(91,1),(158,1),(165,1)}
       126:{1,4,6,7}:{(91,1),(92,1),(94,1),(159,1),(165,1),(166,1)}
       127:{2,4,7}:{(92,1),(93,1),(95,1),(167,1)}
       128:{3,6}:{(93,1),(161,1),(167,1)}
       129:{2,6,7}:{(94,1),(95,1),(246,1)}
       130:{2,3,5,7}:{(95,1),(96,1),(103,1),(153,1),(167,1),(169,1),(170,1),(176,1),(237,1),(258,1),(260,1),(262,1),(270,1),(332,1),(420,1),(443,1),(453,1)}
       131:{2,4,6}:{(96,1),(104,1),(154,1),(168,1),(170,1),(171,1),(248,1),(339,1),(346,1),(452,1)}
       132:{1,2,4}:{(97,1),(105,1),(172,1),(183,1),(265,1)}
       133:{2,3}:{(97,1),(172,1)}
       134:{1,2,6}:{(99,1),(105,1),(174,1),(175,1),(360,1)}
       135:{2,7}:{(98,1),(99,1)}
       136:{2,3,6}:{(99,1),(101,1),(106,1),(175,1),(176,1),(177,1),(360,1)}
       137:{1,3,7}:{(100,1),(101,1),(167,1),(176,1),(443,1)}
       138:{1,3,4,6}:{(101,1),(104,1),(107,1),(168,1),(177,1),(178,1),(179,1),(272,1)}
       139:{1,3,6,7}:{(102,1),(103,1),(169,1),(180,1),(272,1),(340,1),(404,1)}
       140:{1,4,7}:{(103,1),(104,1),(170,1)}
       141:{1,4,5}:{(104,1),(171,1),(179,1),(331,1),(412,1)}
       142:{1,3,5}:{(105,1),(106,1),(172,1),(175,1),(183,1),(269,1)}
       143:{2,4}:{(106,1),(107,1),(183,1)}
       144:{1,3,4,5}:{(107,1),(179,1),(184,1),(185,1),(252,1),(266,1),(342,1),(408,1)}
       145:{2,3,4}:{(108,1),(186,1),(204,1),(281,1),(365,1)}
       146:{1,3,5}:{(108,1),(109,1),(111,1),(186,1),(187,1)}
       147:{1,2,4,5}:{(109,1),(113,1),(122,1),(187,1),(188,1),(196,1),(197,1),(278,1),(281,1),(286,1),(295,1),(368,1),(380,1),(423,1)}
       148:{1,3,7}:{(110,1),(111,1),(112,1),(190,1)}
       149:{2,6}:{(111,1),(187,1),(190,1)}
       150:{1,2,4,7}:{(112,1),(113,1),(115,1),(127,1),(190,1),(192,1),(195,1),(285,1),(426,1),(433,1),(447,1)}
       151:{1,3,6}:{(113,1),(128,1),(188,1),(191,1),(192,1),(430,1)}
       152:{1,2,6,7}:{(114,1),(115,1),(129,1),(194,1),(293,1),(373,1),(427,1),(438,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(130,1),(192,1),(194,1),(195,1),(219,1),(289,1),(318,1)}
       154:{1,4,6}:{(116,1),(131,1),(195,1),(196,1),(295,1)}
       155:{2,3,6}:{(117,1),(120,1),(198,1),(311,1),(320,1),(373,1)}
       156:{1,3,5,7}:{(117,1),(118,1),(121,1),(123,1),(198,1),(199,1),(203,1),(318,1),(371,1)}
       157:{2,5}:{(118,1),(124,1)}
       158:{2,5,6}:{(119,1),(120,1),(125,1),(201,1),(431,1)}
       159:{1,4,6}:{(120,1),(121,1),(198,1),(201,1),(202,1)}
       160:{2,4,5,7}:{(121,1),(122,1),(127,1),(199,1),(202,1),(203,1),(209,1),(297,1),(309,1),(384,1),(387,1)}
       161:{3,5}:{(122,1),(128,1),(204,1)}
       162:{1,2,4,6}:{(124,1),(132,1),(134,1),(189,1),(197,1),(205,1),(206,1),(220,1),(278,1),(284,1),(293,1),(295,1),(304,1),(381,1)}
       163:{2,4,7}:{(123,1),(124,1),(135,1),(190,1),(199,1),(207,1)}
       164:{2,3,6}:{(124,1),(128,1),(133,1),(200,1),(206,1),(207,1),(279,1)}
       165:{1,5,7}:{(125,1),(126,1),(201,1),(209,1)}
       166:{2,4,6,7}:{(126,1),(127,1),(129,1),(202,1),(209,1),(210,1),(309,1)}
       167:{3,7}:{(127,1),(128,1)}
       168:{3,4,6}:{(128,1),(131,1),(204,1),(211,1),(212,1),(311,1),(377,1),(430,1)}
       169:{2,3,6,7}:{(129,1),(130,1),(139,1),(194,1),(210,1),(213,1),(296,1),(311,1),(320,1),(373,1),(378,1),(438,1),(450,1)}
       170:{2,4,7}:{(130,1),(131,1),(140,1),(195,1),(211,1),(309,1),(454,1)}
       171:{2,4,5}:{(131,1),(141,1),(196,1),(212,1),(222,1),(286,1),(384,1),(387,1),(431,1),(448,1)}
       172:{1,3}:{(132,1),(133,1),(216,1)}
       173:{2,3,4}:{(133,1),(143,1),(217,1),(218,1),(377,1)}
       174:{1,2,7}:{(134,1),(135,1),(219,1),(397,1)}
       175:{1,3,6}:{(134,1),(136,1),(142,1),(219,1),(220,1)}
       176:{2,3,7}:{(135,1),(136,1),(137,1),(219,1),(221,1),(397,1)}
       177:{2,4,6}:{(136,1),(138,1),(143,1),(220,1),(221,1),(222,1),(320,1)}
       178:{1,3,4,7}:{(137,1),(138,1),(140,1),(211,1),(221,1),(223,1)}
       179:{1,3,5}:{(138,1),(141,1),(212,1),(222,1)}
       180:{1,4,6,7}:{(139,1),(140,1),(213,1),(225,1),(226,1),(381,1)}
       181:{1,4,5,7}:{(140,1),(141,1),(214,1),(223,1),(225,1),(226,1),(371,1)}
       182:{1,4,5,6}:{(141,1),(215,1),(224,1),(226,1),(227,1),(372,1),(383,1),(434,1)}
       183:{1,4}:{(142,1),(143,1)}
       184:{2,4,5}:{(143,1),(144,1),(218,1),(222,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(144,1),(224,1),(229,1),(230,1),(302,1),(316,1),(383,1),(430,1)}
       186:{1,3,4}:{(145,1),(146,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(146,1),(149,1),(231,1)}
       188:{1,3,5}:{(147,1),(151,1),(161,1),(233,1),(234,1),(325,1),(408,1)}
       189:{1,2,6}:{(149,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,7}:{(148,1),(149,1)}
       191:{2,3,6}:{(149,1),(151,1),(233,1),(236,1),(237,1),(238,1),(439,1)}
       192:{1,3,7}:{(150,1),(151,1),(167,1),(237,1),(443,1)}
       193:{1,3,4,6}:{(151,1),(154,1),(168,1),(234,1),(238,1),(239,1),(240,1),(334,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(169,1),(241,1),(334,1),(340,1),(362,1)}
       195:{1,4,7}:{(153,1),(154,1),(170,1)}
       196:{1,4,5}:{(154,1),(171,1),(240,1),(269,1),(412,1)}
       197:{1,2,5}:{(157,1),(162,1),(245,1),(269,1),(331,1),(351,1),(412,1)}
       198:{1,3,6}:{(155,1),(156,1),(159,1),(246,1),(250,1),(362,1),(404,1)}
       199:{2,5,7}:{(156,1),(157,1),(163,1),(246,1)}
       200:{2,3,5}:{(157,1),(161,1),(164,1),(245,1),(248,1)}
       201:{1,5,6}:{(158,1),(159,1),(165,1),(249,1),(412,1)}
       202:{2,4,6}:{(159,1),(160,1),(246,1),(249,1),(250,1),(346,1)}
       203:{3,5,7}:{(160,1),(161,1),(167,1),(250,1),(251,1),(347,1)}
       204:{3,4}:{(161,1),(248,1)}
       205:{1,2,4,7}:{(162,1),(163,1),(174,1),(235,1),(244,1),(254,1),(268,1),(330,1),(341,1),(350,1)}
       206:{1,3,6}:{(162,1),(164,1),(172,1),(245,1),(253,1),(254,1),(325,1)}
       207:{2,3,7}:{(163,1),(164,1),(167,1),(254,1)}
       208:{2,3,4,6}:{(164,1),(168,1),(173,1),(177,1),(238,1),(248,1),(255,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(354,1),(401,1)}
       209:{2,5,7}:{(165,1),(166,1),(249,1),(258,1)}
       210:{3,6,7}:{(166,1),(167,1),(250,1),(258,1)}
       211:{3,4,7}:{(167,1),(168,1),(170,1),(260,1),(443,1)}
       212:{3,5}:{(168,1),(171,1)}
       213:{2,4,6,7}:{(169,1),(170,1),(180,1),(241,1),(259,1),(262,1),(263,1),(343,1),(409,1)}
       214:{2,4,5,7}:{(170,1),(171,1),(181,1),(242,1),(260,1),(262,1),(263,1),(270,1),(332,1),(356,1)}
       215:{2,4,5,6}:{(171,1),(182,1),(243,1),(261,1),(263,1),(264,1),(271,1),(333,1),(345,1),(411,1),(415,1),(417,1),(444,1),(452,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(408,1)}
       219:{1,3,7}:{(174,1),(175,1),(176,1),(268,1)}
       220:{1,4,6}:{(175,1),(177,1),(183,1),(268,1),(269,1),(362,1)}
       221:{2,4,7}:{(176,1),(177,1),(178,1),(268,1),(270,1)}
       222:{2,5}:{(177,1),(179,1),(269,1)}
       223:{1,3,5,7}:{(178,1),(179,1),(181,1),(260,1),(270,1),(272,1)}
       224:{1,3,5,6}:{(179,1),(182,1),(185,1),(261,1),(271,1),(272,1),(273,1)}
       225:{1,5,7}:{(180,1),(262,1),(274,1),(412,1)}
       226:{1,4,6}:{(181,1),(263,1),(272,1),(274,1),(404,1)}
       227:{1,4,5,7}:{(182,1),(264,1),(273,1),(275,1),(405,1),(414,1),(446,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(269,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(271,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(273,1),(277,1),(349,1),(361,1),(414,1),(443,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(191,1),(279,1),(280,1),(281,1),(286,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(204,1),(281,1),(295,1),(377,1)}
       235:{1,2,7}:{(189,1),(190,1),(283,1),(447,1)}
       236:{1,3,6}:{(189,1),(191,1),(280,1),(283,1),(284,1)}
       237:{2,3,7}:{(190,1),(191,1),(192,1),(283,1),(285,1),(447,1)}
       238:{2,4,6}:{(191,1),(193,1),(281,1),(284,1),(285,1),(286,1),(373,1)}
       239:{1,3,4,7}:{(192,1),(193,1),(195,1),(211,1),(285,1),(287,1)}
       240:{1,3,5}:{(193,1),(196,1),(212,1),(286,1)}
       241:{1,4,6,7}:{(194,1),(195,1),(213,1),(289,1),(290,1),(381,1)}
       242:{1,4,5,7}:{(195,1),(196,1),(214,1),(287,1),(289,1),(290,1),(318,1)}
       243:{1,4,5,6}:{(196,1),(215,1),(288,1),(290,1),(291,1),(319,1),(383,1),(434,1)}
       244:{1,2,5,7}:{(197,1),(199,1),(205,1),(293,1),(294,1),(318,1),(371,1),(390,1)}
       245:{1,3,5}:{(197,1),(200,1),(206,1),(292,1),(295,1)}
       246:{2,6}:{(198,1),(199,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(203,1),(207,1),(294,1),(296,1),(297,1),(384,1)}
       248:{2,4}:{(200,1),(204,1),(295,1)}
       249:{2,5,6}:{(201,1),(202,1),(209,1),(299,1),(384,1)}
       250:{3,6}:{(202,1),(203,1)}
       251:{3,4,7}:{(203,1),(204,1),(297,1),(300,1),(309,1)}
       252:{3,4,5}:{(204,1),(212,1),(298,1),(302,1),(448,1)}
       253:{2,3,6}:{(206,1),(216,1),(292,1),(303,1),(304,1),(365,1),(430,1)}
       254:{1,3,7}:{(205,1),(206,1),(207,1),(303,1)}
       255:{1,3,4,6}:{(206,1),(208,1),(217,1),(220,1),(284,1),(295,1),(304,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(392,1),(424,1),(428,1),(430,1)}
       256:{2,3,4,7}:{(207,1),(208,1),(211,1),(221,1),(285,1),(297,1),(305,1),(307,1),(317,1),(386,1),(425,1)}
       257:{2,3,5}:{(208,1),(212,1),(222,1),(286,1),(298,1),(306,1),(384,1)}
       258:{3,5,7}:{(209,1),(210,1),(299,1),(309,1)}
       259:{3,4,6,7}:{(210,1),(211,1),(213,1),(300,1),(309,1),(310,1),(311,1),(395,1),(428,1),(450,1),(454,1)}
       260:{3,5,7}:{(211,1),(212,1),(214,1),(311,1)}
       261:{3,5,6}:{(212,1),(215,1),(302,1),(311,1),(312,1),(430,1)}
       262:{2,5,7}:{(213,1),(225,1),(289,1),(310,1),(313,1),(384,1),(431,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(311,1),(313,1),(320,1),(373,1),(395,1)}
       264:{2,4,5,7}:{(215,1),(227,1),(291,1),(312,1),(314,1),(321,1),(374,1),(386,1),(433,1),(436,1),(437,1),(451,1),(454,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(430,1)}
       268:{1,4,7}:{(219,1),(220,1),(221,1),(318,1)}
       269:{1,5}:{(220,1),(222,1)}
       270:{2,5,7}:{(221,1),(222,1),(223,1),(318,1),(320,1)}
       271:{2,5,6}:{(222,1),(224,1),(229,1),(319,1),(320,1),(321,1)}
       272:{1,3,6}:{(223,1),(226,1),(311,1),(320,1)}
       273:{1,3,5,7}:{(224,1),(227,1),(230,1),(312,1),(321,1),(322,1)}
       274:{1,5,6}:{(225,1),(226,1),(313,1)}
       275:{1,4,6,7}:{(226,1),(227,1),(314,1),(322,1),(323,1),(427,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(319,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(321,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(236,1),(325,1),(327,1),(331,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(240,1),(252,1),(328,1),(329,1),(342,1),(400,1),(408,1)}
       283:{1,3,7}:{(235,1),(236,1),(237,1),(330,1)}
       284:{1,4,6}:{(236,1),(238,1),(327,1),(330,1),(331,1),(404,1)}
       285:{2,4,7}:{(237,1),(238,1),(239,1),(330,1),(332,1)}
       286:{2,5}:{(238,1),(240,1),(331,1)}
       287:{1,3,5,7}:{(239,1),(240,1),(242,1),(260,1),(332,1),(334,1)}
       288:{1,3,5,6}:{(240,1),(243,1),(261,1),(329,1),(333,1),(334,1),(335,1)}
       289:{1,5,7}:{(241,1),(262,1),(336,1),(412,1)}
       290:{1,4,6}:{(242,1),(263,1),(334,1),(336,1),(362,1)}
       291:{1,4,5,7}:{(243,1),(264,1),(335,1),(337,1),(363,1),(414,1),(446,1)}
       292:{2,3,5}:{(245,1),(253,1),(339,1),(351,1),(408,1)}
       293:{1,2,6}:{(244,1),(246,1),(340,1),(362,1),(404,1),(419,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(254,1),(338,1),(340,1),(341,1),(412,1)}
       295:{1,4}:{(245,1),(248,1),(339,1)}
       296:{2,3,6}:{(246,1),(247,1),(250,1),(340,1),(343,1)}
       297:{2,4,7}:{(247,1),(248,1),(251,1),(341,1),(343,1)}
       298:{2,4,5}:{(248,1),(252,1),(257,1),(342,1),(345,1)}
       299:{3,5,6}:{(249,1),(250,1),(258,1),(346,1),(347,1)}
       300:{3,4,6}:{(250,1),(251,1),(343,1),(346,1),(347,1)}
       301:{3,4,5,7}:{(251,1),(252,1),(260,1),(344,1),(347,1),(348,1),(349,1),(356,1),(418,1)}
       302:{3,4,6}:{(252,1),(261,1),(345,1),(349,1),(452,1)}
       303:{2,3,7}:{(253,1),(254,1),(350,1),(443,1)}
       304:{2,4,6}:{(253,1),(255,1),(265,1),(339,1),(350,1),(351,1),(360,1),(399,1),(419,1),(439,1)}
       305:{1,3,4,7}:{(254,1),(255,1),(256,1),(268,1),(330,1),(341,1),(350,1),(352,1),(361,1),(407,1),(414,1),(440,1),(443,1)}
       306:{1,3,5}:{(255,1),(257,1),(269,1),(331,1),(342,1),(351,1),(408,1),(412,1),(441,1)}
       307:{2,3,5,7}:{(256,1),(257,1),(260,1),(270,1),(332,1),(344,1),(352,1),(354,1)}
       308:{2,3,5,6}:{(257,1),(261,1),(267,1),(271,1),(333,1),(345,1),(353,1),(354,1),(355,1),(401,1),(415,1)}
       309:{4,7}:{(258,1),(346,1)}
       310:{3,5,7}:{(259,1),(262,1),(347,1),(356,1),(357,1),(441,1)}
       311:{3,6}:{(260,1),(263,1)}
       312:{3,5,7}:{(261,1),(264,1),(349,1),(358,1),(443,1)}
       313:{2,5,6}:{(262,1),(263,1),(274,1),(336,1),(357,1)}
       314:{2,4,6,7}:{(263,1),(264,1),(275,1),(337,1),(358,1),(359,1),(364,1),(406,1),(422,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(443,1)}
       318:{1,5,7}:{(268,1),(269,1),(270,1),(362,1)}
       319:{1,5,6}:{(269,1),(271,1),(276,1),(362,1),(363,1)}
       320:{2,6}:{(270,1),(272,1),(362,1)}
       321:{2,5,7}:{(271,1),(273,1),(277,1),(363,1),(364,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(275,1),(358,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(363,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(286,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(288,1),(302,1),(369,1),(370,1),(383,1),(424,1),(430,1)}
       330:{1,4,7}:{(283,1),(284,1),(285,1),(371,1)}
       331:{1,5}:{(284,1),(286,1)}
       332:{2,5,7}:{(285,1),(286,1),(287,1),(371,1),(373,1)}
       333:{2,5,6}:{(286,1),(288,1),(369,1),(372,1),(373,1),(374,1)}
       334:{1,3,6}:{(287,1),(290,1),(311,1),(373,1)}
       335:{1,3,5,7}:{(288,1),(291,1),(312,1),(370,1),(374,1),(375,1)}
       336:{1,5,6}:{(289,1),(290,1),(313,1)}
       337:{1,4,6,7}:{(290,1),(291,1),(314,1),(375,1),(376,1),(398,1)}
       338:{2,3,5,7}:{(292,1),(294,1),(303,1),(378,1),(379,1),(390,1),(429,1),(431,1)}
       339:{2,4}:{(292,1),(295,1),(377,1)}
       340:{1,3,6}:{(293,1),(294,1),(296,1),(378,1),(381,1)}
       341:{1,4,7}:{(294,1),(295,1),(297,1),(379,1),(381,1)}
       342:{1,4,5}:{(295,1),(298,1),(306,1),(380,1),(383,1),(448,1)}
       343:{2,4,6}:{(296,1),(297,1),(300,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(297,1),(298,1),(301,1),(307,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(298,1),(302,1),(308,1),(383,1),(386,1)}
       346:{4,6}:{(299,1),(309,1),(387,1)}
       347:{3,5}:{(300,1),(384,1),(387,1)}
       348:{3,4,6}:{(301,1),(311,1),(385,1),(388,1),(395,1)}
       349:{3,4,7}:{(302,1),(312,1),(386,1),(454,1)}
       350:{2,4,7}:{(303,1),(304,1),(305,1),(390,1),(397,1),(447,1)}
       351:{2,5}:{(304,1),(306,1)}
       352:{1,3,5,7}:{(305,1),(306,1),(307,1),(318,1),(371,1),(382,1),(390,1),(392,1),(429,1)}
       353:{1,3,5,6}:{(306,1),(308,1),(316,1),(319,1),(372,1),(383,1),(391,1),(392,1),(393,1),(424,1),(430,1),(434,1),(449,1)}
       354:{2,3,6}:{(307,1),(311,1),(320,1),(373,1),(385,1),(392,1)}
       355:{2,3,5,7}:{(308,1),(312,1),(317,1),(321,1),(374,1),(386,1),(393,1),(394,1),(425,1),(436,1)}
       356:{4,5,7}:{(309,1),(310,1),(387,1),(395,1),(448,1),(454,1)}
       357:{3,5,6}:{(310,1),(311,1),(313,1),(395,1)}
       358:{3,6,7}:{(311,1),(312,1),(314,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(396,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,6}:{(318,1),(320,1)}
       363:{1,5,7}:{(319,1),(321,1),(324,1),(398,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(408,1)}
       368:{1,4,5}:{(327,1),(328,1),(331,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(333,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(335,1),(349,1),(403,1),(414,1),(440,1),(443,1)}
       371:{1,5,7}:{(330,1),(331,1),(332,1),(404,1)}
       372:{1,5,6}:{(331,1),(333,1),(402,1),(404,1),(405,1)}
       373:{2,6}:{(332,1),(334,1),(404,1)}
       374:{2,5,7}:{(333,1),(335,1),(403,1),(405,1),(406,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(337,1),(358,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(339,1),(408,1)}
       378:{2,3,6}:{(338,1),(340,1),(409,1),(419,1),(442,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(407,1),(409,1)}
       380:{2,4,5}:{(339,1),(342,1),(351,1),(408,1),(411,1)}
       381:{1,4,6}:{(340,1),(341,1),(343,1),(409,1),(412,1)}
       382:{1,4,5,7}:{(341,1),(342,1),(344,1),(352,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(342,1),(345,1),(353,1),(411,1),(414,1),(452,1)}
       384:{2,5}:{(343,1),(347,1),(412,1)}
       385:{2,4,6}:{(344,1),(348,1),(354,1),(413,1),(415,1)}
       386:{2,4,7}:{(345,1),(349,1),(355,1),(414,1)}
       387:{4,5}:{(346,1),(347,1)}
       388:{3,5,6}:{(347,1),(348,1),(415,1),(417,1),(418,1)}
       389:{3,4,6,7}:{(348,1),(349,1),(358,1),(416,1),(418,1),(422,1)}
       390:{2,5,7}:{(350,1),(351,1),(352,1),(419,1)}
       391:{2,5,6}:{(351,1),(353,1),(360,1),(411,1),(419,1),(420,1),(439,1)}
       392:{1,3,6}:{(352,1),(354,1),(362,1),(404,1),(413,1),(419,1),(442,1)}
       393:{1,3,5,7}:{(353,1),(355,1),(361,1),(363,1),(405,1),(414,1),(420,1),(421,1),(440,1),(443,1),(446,1),(453,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(358,1),(364,1),(406,1),(416,1),(421,1)}
       395:{4,6}:{(356,1),(357,1)}
       396:{3,5,6,7}:{(357,1),(358,1),(359,1),(418,1),(422,1),(453,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(430,1)}
       402:{1,4,6}:{(368,1),(369,1),(372,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(374,1),(425,1),(426,1),(447,1)}
       404:{1,6}:{(371,1),(373,1)}
       405:{1,5,7}:{(372,1),(374,1),(426,1),(427,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,4,7}:{(377,1),(379,1),(428,1),(429,1),(454,1)}
       408:{3,5}:{(377,1),(380,1),(430,1)}
       409:{2,4,6}:{(378,1),(379,1),(381,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(379,1),(380,1),(382,1),(390,1),(429,1),(431,1),(432,1),(433,1),(448,1),(451,1),(454,1)}
       411:{2,4,6}:{(380,1),(383,1),(391,1),(430,1),(433,1)}
       412:{1,5}:{(381,1),(384,1),(431,1)}
       413:{1,4,6}:{(382,1),(385,1),(392,1),(432,1),(434,1)}
       414:{1,4,7}:{(383,1),(386,1),(393,1),(433,1),(454,1)}
       415:{2,5,6}:{(384,1),(385,1),(388,1),(434,1),(436,1)}
       416:{2,4,6,7}:{(385,1),(386,1),(389,1),(394,1),(435,1),(436,1)}
       417:{4,5,6}:{(387,1),(388,1),(395,1),(437,1)}
       418:{3,5,7}:{(388,1),(389,1),(436,1),(437,1)}
       419:{2,6}:{(390,1),(392,1)}
       420:{2,5,7}:{(391,1),(393,1),(397,1),(433,1),(438,1),(447,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(435,1),(438,1),(450,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(443,1)}
       426:{1,4,7}:{(402,1),(403,1),(405,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,4,6}:{(407,1),(409,1),(441,1),(442,1),(452,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,6}:{(408,1),(411,1),(443,1)}
       431:{2,5}:{(409,1),(412,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(419,1),(442,1),(444,1),(452,1)}
       433:{2,4,7}:{(411,1),(414,1),(420,1),(443,1)}
       434:{1,5,6}:{(412,1),(413,1),(415,1),(444,1),(446,1)}
       435:{1,4,6,7}:{(413,1),(414,1),(416,1),(421,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(418,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,5}:{(428,1),(431,1),(448,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,7}:{(430,1),(433,1)}
       444:{2,5,6}:{(431,1),(432,1),(434,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(432,1),(433,1),(435,1),(438,1),(450,1),(451,1),(454,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 589 :   0:{1,5,6,7}:{(1,1),(2,1),(98,1),(190,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(133,1),(223,1)}
         2:{1,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(64,1),(234,1)}
         3:{1,4,5,6}:{(7,1),(8,1),(10,1),(66,1),(76,1),(130,1),(153,1),(234,1)}
         4:{1,5,6,7}:{(1,1),(12,1),(98,1),(251,1)}
         5:{3,5,6,7}:{(1,1),(14,1),(16,1),(44,1),(172,1),(263,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(19,1),(40,1),(270,1)}
         7:{2,4,5,6}:{(3,1),(13,1),(15,1),(17,1),(21,1),(42,1),(43,1),(50,1),(96,1),(107,1),(169,1),(183,1),(258,1),(270,1)}
         8:{1,4,5,7}:{(2,1),(3,1),(15,1),(18,1),(90,1),(98,1),(103,1)}
         9:{1,3,6,7}:{(2,1),(16,1),(18,1),(19,1),(282,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(18,1),(20,1),(21,1),(193,1),(282,1)}
        11:{1,3,4,5}:{(20,1),(22,1),(46,1),(59,1),(101,1),(119,1),(175,1),(193,1)}
        12:{1,4,6,7}:{(4,1),(6,1),(23,1),(24,1),(34,1),(297,1)}
        13:{1,4,5,6}:{(7,1),(23,1),(25,1),(36,1),(76,1),(130,1),(208,1),(297,1)}
        14:{4,6,7}:{(5,1),(26,1),(214,1),(310,1)}
        15:{2,4,5,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(28,1),(33,1),(63,1),(69,1),(72,1),(133,1),(138,1),(214,1)}
        16:{3,6,7}:{(6,1),(28,1),(319,1)}
        17:{3,5,6}:{(7,1),(28,1),(30,1),(142,1),(226,1),(319,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(32,1),(33,1)}
        19:{2,6,7}:{(9,1),(33,1),(34,1),(329,1)}
        20:{1,3,4,6}:{(10,1),(11,1),(30,1),(32,1),(35,1),(76,1),(83,1),(142,1)}
        21:{2,5,6}:{(10,1),(33,1),(35,1),(36,1),(237,1),(329,1)}
        22:{2,4,5}:{(11,1),(35,1),(37,1),(38,1),(86,1),(155,1),(237,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(15,1),(39,1),(54,1),(98,1),(103,1)}
        24:{1,3,6,7}:{(12,1),(16,1),(39,1),(40,1),(341,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(39,1),(41,1),(42,1),(254,1),(341,1)}
        26:{4,5,7}:{(14,1),(43,1),(44,1)}
        27:{3,4,6,7}:{(14,1),(16,1),(44,1),(45,1),(47,1),(95,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(47,1),(177,1)}
        29:{2,3,6,7}:{(16,1),(19,1),(40,1),(45,1),(48,1),(49,1),(167,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(50,1),(258,1)}
        31:{2,3,5,6}:{(17,1),(21,1),(42,1),(48,1),(50,1),(51,1),(56,1),(92,1),(96,1),(100,1),(167,1)}
        32:{1,3,4,7}:{(18,1),(20,1),(47,1),(53,1),(103,1),(110,1),(177,1)}
        33:{2,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1)}
        34:{1,6,7}:{(19,1),(54,1),(368,1)}
        35:{2,4,6}:{(20,1),(21,1),(22,1),(53,1),(56,1),(57,1),(114,1)}
        36:{1,5,6}:{(21,1),(54,1),(57,1),(284,1),(368,1)}
        37:{2,3,5}:{(22,1),(52,1),(56,1),(59,1),(175,1)}
        38:{1,4,5}:{(22,1),(57,1),(59,1),(195,1),(284,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(25,1),(28,1),(62,1),(63,1)}
        40:{2,6,7}:{(24,1),(63,1),(64,1),(378,1)}
        41:{1,3,4,6}:{(25,1),(30,1),(61,1),(62,1),(65,1),(76,1),(126,1),(142,1)}
        42:{2,5,6}:{(25,1),(63,1),(65,1),(66,1),(300,1),(378,1)}
        43:{4,5,6}:{(26,1),(67,1),(310,1),(448,1)}
        44:{3,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(69,1),(70,1),(72,1),(129,1)}
        46:{3,4,5}:{(30,1),(71,1),(226,1),(306,1),(391,1)}
        47:{3,4,7}:{(28,1),(30,1),(72,1),(214,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(31,1),(33,1),(63,1),(69,1),(72,1),(73,1),(79,1),(122,1)}
        49:{1,3,6,7}:{(29,1),(34,1),(64,1),(70,1),(73,1),(74,1),(134,1),(209,1)}
        50:{2,4,6}:{(30,1),(31,1),(71,1),(72,1),(76,1)}
        51:{1,3,5,6}:{(31,1),(36,1),(66,1),(73,1),(76,1),(77,1),(83,1),(126,1),(130,1),(135,1),(142,1),(209,1),(211,1)}
        52:{2,3,4}:{(37,1),(78,1),(155,1),(218,1),(228,1)}
        53:{2,4,7}:{(32,1),(33,1),(35,1),(79,1),(80,1),(146,1)}
        54:{1,5,7}:{(33,1),(34,1),(36,1),(80,1)}
        55:{1,2,6,7}:{(34,1),(74,1),(81,1),(82,1),(303,1),(329,1),(401,1),(438,1)}
        56:{2,3,6}:{(35,1),(37,1),(79,1),(83,1),(142,1)}
        57:{1,4,6}:{(35,1),(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,5,6}:{(36,1),(77,1),(81,1),(84,1),(85,1),(205,1),(216,1),(237,1),(303,1),(329,1),(331,1),(398,1)}
        59:{1,3,5}:{(37,1),(38,1),(78,1),(83,1),(86,1)}
        60:{1,2,4,5}:{(38,1),(84,1),(86,1),(87,1),(136,1),(144,1),(153,1),(155,1),(216,1),(237,1),(240,1),(313,1),(325,1),(392,1)}
        61:{1,3,4,5}:{(41,1),(46,1),(88,1),(101,1),(158,1),(175,1),(246,1),(254,1)}
        62:{1,3,4,7}:{(39,1),(41,1),(47,1),(89,1),(103,1),(160,1),(177,1)}
        63:{2,5,7}:{(39,1),(40,1),(42,1),(89,1),(90,1)}
        64:{1,6,7}:{(40,1),(90,1),(407,1)}
        65:{2,4,6}:{(41,1),(42,1),(88,1),(89,1),(92,1),(93,1),(164,1)}
        66:{1,5,6}:{(42,1),(90,1),(93,1),(343,1),(407,1)}
        67:{3,5,6}:{(43,1),(44,1),(95,1),(96,1),(441,1)}
        68:{3,4,5,7}:{(44,1),(46,1),(47,1),(95,1),(97,1),(262,1),(269,1),(414,1),(441,1)}
        69:{2,5,7}:{(44,1),(45,1),(96,1),(98,1)}
        70:{1,4,6,7}:{(45,1),(49,1),(98,1),(99,1),(103,1),(168,1)}
        71:{2,4,5}:{(46,1),(50,1),(100,1),(101,1),(355,1)}
        72:{2,4,7}:{(47,1),(48,1),(50,1),(103,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(51,1),(54,1),(90,1),(98,1),(103,1),(104,1),(110,1),(160,1),(172,1),(177,1)}
        74:{2,6,7}:{(49,1),(104,1),(256,1)}
        75:{2,3,4,6}:{(50,1),(52,1),(56,1),(92,1),(100,1),(102,1),(106,1),(157,1),(167,1),(182,1),(192,1),(253,1),(272,1),(355,1),(410,1)}
        76:{1,4,6}:{(50,1),(51,1),(101,1),(103,1),(107,1),(258,1)}
        77:{2,5,6}:{(51,1),(104,1),(107,1),(114,1),(164,1),(174,1),(256,1)}
        78:{1,3,4}:{(52,1),(59,1),(109,1),(184,1),(195,1)}
        79:{2,3,7}:{(53,1),(56,1),(110,1),(177,1)}
        80:{1,4,7}:{(53,1),(54,1),(57,1),(110,1)}
        81:{1,2,5,7}:{(54,1),(55,1),(58,1),(104,1),(111,1),(112,1),(247,1),(281,1),(370,1),(423,1)}
        82:{1,3,6,7}:{(55,1),(105,1),(112,1),(113,1),(282,1),(346,1),(407,1)}
        83:{1,3,6}:{(56,1),(57,1),(59,1),(110,1),(114,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(60,1),(107,1),(111,1),(114,1),(115,1),(116,1),(192,1),(287,1),(366,1),(419,1)}
        85:{1,3,5,6}:{(58,1),(108,1),(112,1),(115,1),(116,1),(190,1),(193,1),(252,1),(264,1),(282,1),(343,1),(346,1),(407,1),(411,1)}
        86:{2,5}:{(59,1),(109,1),(114,1)}
        87:{1,3,5}:{(60,1),(115,1),(118,1),(119,1),(175,1),(184,1),(418,1)}
        88:{2,4,5}:{(61,1),(65,1),(120,1),(121,1),(199,1),(292,1),(300,1)}
        89:{2,4,7}:{(62,1),(63,1),(65,1),(122,1),(123,1),(201,1)}
        90:{1,5,7}:{(63,1),(64,1),(66,1),(123,1)}
        91:{1,2,6,7}:{(64,1),(74,1),(124,1),(125,1),(303,1),(378,1),(428,1),(438,1)}
        92:{2,3,6}:{(65,1),(120,1),(122,1),(126,1),(142,1)}
        93:{1,4,6}:{(65,1),(66,1),(121,1),(123,1),(126,1)}
        94:{1,2,5,6}:{(66,1),(77,1),(124,1),(127,1),(128,1),(150,1),(216,1),(300,1),(303,1),(378,1),(380,1),(398,1)}
        95:{3,4,6}:{(67,1),(68,1),(129,1),(310,1),(319,1)}
        96:{2,5,6}:{(67,1),(69,1),(129,1),(130,1),(430,1)}
        97:{2,4,5,7}:{(68,1),(69,1),(71,1),(72,1),(129,1),(131,1),(132,1),(387,1),(430,1)}
        98:{1,5,7}:{(69,1),(70,1),(130,1),(133,1)}
        99:{2,4,6,7}:{(70,1),(74,1),(133,1),(134,1),(138,1),(210,1),(214,1)}
       100:{2,3,5}:{(71,1),(75,1),(135,1),(226,1),(237,1),(300,1),(430,1)}
       101:{1,4,5}:{(71,1),(76,1),(135,1),(136,1),(306,1),(313,1)}
       102:{2,3,4,7}:{(72,1),(75,1),(79,1),(122,1),(131,1),(137,1),(221,1),(232,1),(295,1),(316,1),(387,1)}
       103:{1,4,7}:{(72,1),(73,1),(76,1),(138,1),(214,1)}
       104:{2,5,7}:{(73,1),(74,1),(77,1),(138,1),(146,1),(201,1)}
       105:{2,3,6,7}:{(74,1),(82,1),(125,1),(134,1),(139,1),(140,1),(304,1),(319,1),(329,1),(378,1),(382,1),(438,1),(451,1)}
       106:{1,3,4,6}:{(75,1),(76,1),(78,1),(83,1),(126,1),(135,1),(137,1),(141,1),(142,1),(198,1),(209,1),(218,1),(224,1),(236,1),(299,1),(305,1),(313,1),(383,1)}
       107:{2,4,6}:{(76,1),(77,1),(136,1),(138,1),(142,1)}
       108:{2,3,5,6}:{(77,1),(85,1),(128,1),(139,1),(142,1),(143,1),(151,1),(206,1),(211,1),(217,1),(223,1),(226,1),(237,1),(300,1),(304,1),(312,1),(319,1),(329,1),(378,1),(382,1),(384,1),(398,1),(430,1),(436,1),(449,1)}
       109:{2,4}:{(78,1),(86,1),(145,1)}
       110:{1,3,7}:{(79,1),(80,1),(83,1),(146,1)}
       111:{1,2,4,7}:{(80,1),(81,1),(84,1),(138,1),(146,1),(147,1),(148,1),(232,1),(333,1),(400,1),(437,1)}
       112:{1,3,5,7}:{(81,1),(82,1),(85,1),(139,1),(147,1),(148,1),(149,1),(294,1),(377,1)}
       113:{1,4,6,7}:{(82,1),(140,1),(148,1),(149,1),(234,1),(383,1)}
       114:{2,6}:{(83,1),(86,1),(146,1)}
       115:{1,3,6}:{(84,1),(87,1),(142,1),(147,1),(151,1),(436,1)}
       116:{1,4,6}:{(85,1),(143,1),(148,1),(153,1),(313,1)}
       117:{1,2,5}:{(86,1),(144,1),(150,1),(154,1),(325,1)}
       118:{2,3,5}:{(86,1),(87,1),(145,1),(151,1),(154,1),(155,1),(228,1),(237,1),(325,1)}
       119:{1,3,4}:{(87,1),(155,1),(218,1),(313,1),(391,1)}
       120:{2,3,5}:{(88,1),(92,1),(157,1),(158,1),(175,1)}
       121:{1,4,5}:{(88,1),(93,1),(158,1),(336,1),(343,1)}
       122:{2,3,7}:{(89,1),(92,1),(160,1),(177,1)}
       123:{1,4,7}:{(89,1),(90,1),(93,1),(160,1)}
       124:{1,2,5,7}:{(90,1),(91,1),(94,1),(104,1),(161,1),(162,1),(186,1),(340,1),(409,1),(423,1)}
       125:{1,3,6,7}:{(91,1),(105,1),(162,1),(163,1),(341,1),(346,1),(368,1)}
       126:{1,3,6}:{(92,1),(93,1),(158,1),(160,1),(164,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(107,1),(159,1),(161,1),(164,1),(165,1),(166,1),(253,1),(405,1),(419,1),(439,1)}
       128:{1,3,5,6}:{(94,1),(108,1),(162,1),(165,1),(166,1),(191,1),(251,1),(254,1),(264,1),(284,1),(341,1),(346,1),(368,1),(411,1)}
       129:{2,4,6}:{(95,1),(96,1),(97,1),(167,1),(168,1)}
       130:{1,5,6}:{(96,1),(98,1),(168,1),(169,1),(411,1)}
       131:{2,3,5,7}:{(97,1),(100,1),(102,1),(167,1),(170,1),(269,1),(281,1),(340,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(101,1),(103,1),(168,1),(170,1),(171,1),(351,1),(411,1)}
       133:{2,5,7}:{(98,1),(99,1),(169,1),(172,1)}
       134:{3,6,7}:{(99,1),(172,1),(177,1),(257,1)}
       135:{1,3,5}:{(100,1),(101,1),(106,1),(174,1),(175,1),(284,1),(343,1),(348,1),(411,1)}
       136:{2,4,5}:{(101,1),(107,1),(174,1),(175,1),(265,1)}
       137:{1,3,4,7}:{(102,1),(103,1),(106,1),(110,1),(160,1),(170,1),(176,1),(177,1),(261,1),(267,1),(280,1),(339,1),(351,1)}
       138:{2,4,7}:{(103,1),(104,1),(107,1),(177,1)}
       139:{2,3,5,7}:{(104,1),(105,1),(108,1),(112,1),(162,1),(172,1),(177,1),(178,1),(179,1),(187,1),(248,1),(269,1),(281,1),(340,1),(423,1),(446,1),(453,1)}
       140:{2,4,6,7}:{(105,1),(113,1),(163,1),(173,1),(178,1),(179,1),(270,1),(347,1),(410,1)}
       141:{2,4,6}:{(106,1),(109,1),(114,1),(164,1),(174,1),(176,1),(181,1),(243,1),(256,1),(265,1)}
       142:{3,6}:{(107,1),(175,1),(177,1)}
       143:{2,4,6}:{(108,1),(116,1),(166,1),(178,1),(182,1),(183,1),(258,1),(265,1),(355,1),(452,1)}
       144:{1,2,4}:{(109,1),(117,1),(184,1),(195,1),(277,1)}
       145:{2,3}:{(109,1),(184,1)}
       146:{2,7}:{(110,1),(114,1)}
       147:{1,3,7}:{(111,1),(115,1),(177,1),(187,1),(446,1)}
       148:{1,4,7}:{(112,1),(116,1),(178,1)}
       149:{1,5,7}:{(113,1),(179,1),(190,1),(411,1)}
       150:{1,2,6}:{(114,1),(117,1),(186,1),(191,1),(366,1)}
       151:{2,3,6}:{(114,1),(115,1),(118,1),(187,1),(191,1),(192,1),(366,1)}
       152:{1,3,4,6}:{(115,1),(116,1),(119,1),(182,1),(188,1),(192,1),(193,1),(282,1)}
       153:{1,4,5}:{(116,1),(183,1),(193,1),(343,1),(411,1)}
       154:{1,3,5}:{(117,1),(118,1),(184,1),(191,1),(195,1),(284,1)}
       155:{2,4}:{(118,1),(119,1),(195,1)}
       156:{1,3,4,5}:{(119,1),(193,1),(196,1),(197,1),(266,1),(278,1),(356,1),(418,1)}
       157:{2,3,4}:{(120,1),(198,1),(218,1),(292,1),(371,1)}
       158:{1,3,5}:{(120,1),(121,1),(126,1),(198,1),(199,1)}
       159:{1,2,4,5}:{(121,1),(127,1),(136,1),(199,1),(200,1),(208,1),(216,1),(289,1),(292,1),(300,1),(313,1),(374,1),(392,1),(424,1)}
       160:{1,3,7}:{(122,1),(123,1),(126,1),(201,1)}
       161:{1,2,4,7}:{(123,1),(124,1),(127,1),(138,1),(201,1),(202,1),(203,1),(295,1),(427,1),(437,1),(447,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(128,1),(139,1),(202,1),(203,1),(204,1),(231,1),(328,1)}
       163:{1,4,6,7}:{(125,1),(140,1),(203,1),(204,1),(297,1),(383,1)}
       164:{2,6}:{(126,1),(199,1),(201,1)}
       165:{1,3,6}:{(127,1),(142,1),(200,1),(202,1),(206,1),(436,1)}
       166:{1,4,6}:{(128,1),(143,1),(203,1),(208,1),(313,1)}
       167:{2,3,6}:{(129,1),(131,1),(209,1),(319,1),(329,1),(378,1)}
       168:{1,4,6}:{(129,1),(130,1),(132,1),(209,1),(210,1)}
       169:{2,5,6}:{(130,1),(133,1),(210,1),(211,1),(384,1)}
       170:{1,3,5,7}:{(131,1),(132,1),(135,1),(137,1),(209,1),(212,1),(213,1),(328,1),(377,1)}
       171:{2,4,5,7}:{(132,1),(133,1),(136,1),(138,1),(210,1),(212,1),(213,1),(214,1),(306,1),(308,1),(384,1)}
       172:{3,5,7}:{(133,1),(134,1),(211,1),(214,1)}
       173:{3,4,6,7}:{(134,1),(140,1),(214,1),(215,1),(221,1),(305,1),(310,1),(319,1),(429,1),(451,1),(454,1)}
       174:{2,5}:{(135,1),(141,1)}
       175:{3,5}:{(136,1),(142,1),(218,1)}
       176:{2,4,7}:{(137,1),(141,1),(146,1),(201,1),(212,1),(220,1)}
       177:{3,7}:{(138,1),(142,1)}
       178:{2,4,7}:{(139,1),(143,1),(148,1),(203,1),(214,1),(221,1),(454,1)}
       179:{2,5,7}:{(140,1),(149,1),(204,1),(215,1),(223,1),(384,1),(430,1)}
       180:{1,2,4,6}:{(141,1),(144,1),(150,1),(205,1),(216,1),(219,1),(224,1),(236,1),(289,1),(299,1),(303,1),(313,1),(321,1),(383,1)}
       181:{2,3,6}:{(141,1),(142,1),(145,1),(217,1),(220,1),(224,1),(290,1)}
       182:{3,4,6}:{(142,1),(143,1),(218,1),(221,1),(226,1),(319,1),(391,1),(436,1)}
       183:{2,4,5}:{(143,1),(153,1),(208,1),(226,1),(237,1),(300,1),(306,1),(384,1),(430,1),(448,1)}
       184:{1,3}:{(144,1),(145,1),(228,1)}
       185:{2,3,4}:{(145,1),(155,1),(229,1),(230,1),(391,1)}
       186:{1,2,7}:{(146,1),(150,1),(231,1),(400,1)}
       187:{2,3,7}:{(146,1),(147,1),(151,1),(231,1),(232,1),(400,1)}
       188:{1,3,4,7}:{(147,1),(148,1),(152,1),(221,1),(232,1),(233,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(153,1),(222,1),(233,1),(234,1),(377,1)}
       190:{1,5,6}:{(149,1),(223,1),(234,1)}
       191:{1,3,6}:{(150,1),(151,1),(154,1),(231,1),(236,1)}
       192:{2,4,6}:{(151,1),(152,1),(155,1),(232,1),(236,1),(237,1),(329,1)}
       193:{1,3,5}:{(152,1),(153,1),(226,1),(237,1)}
       194:{1,4,5,6}:{(153,1),(227,1),(234,1),(238,1),(239,1),(380,1),(393,1),(431,1)}
       195:{1,4}:{(154,1),(155,1)}
       196:{2,4,5}:{(155,1),(156,1),(230,1),(237,1),(240,1),(241,1),(325,1)}
       197:{1,3,4,6}:{(156,1),(238,1),(241,1),(242,1),(315,1),(326,1),(393,1),(436,1)}
       198:{1,3,4}:{(157,1),(158,1),(243,1),(334,1),(336,1)}
       199:{2,5}:{(158,1),(164,1),(243,1)}
       200:{1,3,5}:{(159,1),(165,1),(175,1),(245,1),(246,1),(334,1),(418,1)}
       201:{2,7}:{(160,1),(164,1)}
       202:{1,3,7}:{(161,1),(165,1),(177,1),(248,1),(446,1)}
       203:{1,4,7}:{(162,1),(166,1),(178,1)}
       204:{1,5,7}:{(163,1),(179,1),(251,1),(411,1)}
       205:{1,2,6}:{(164,1),(244,1),(247,1),(252,1),(439,1)}
       206:{2,3,6}:{(164,1),(165,1),(245,1),(248,1),(252,1),(253,1),(439,1)}
       207:{1,3,4,6}:{(165,1),(166,1),(182,1),(246,1),(249,1),(253,1),(254,1),(341,1)}
       208:{1,4,5}:{(166,1),(183,1),(254,1),(284,1),(411,1)}
       209:{1,3,6}:{(167,1),(168,1),(170,1),(256,1),(257,1),(368,1),(407,1)}
       210:{2,4,6}:{(168,1),(169,1),(171,1),(256,1),(257,1),(258,1)}
       211:{3,5,6}:{(169,1),(172,1),(257,1),(258,1),(348,1)}
       212:{2,5,7}:{(170,1),(174,1),(176,1),(256,1)}
       213:{3,5,7}:{(171,1),(175,1),(177,1),(257,1),(261,1),(348,1)}
       214:{4,7}:{(172,1),(258,1)}
       215:{3,5,7}:{(173,1),(179,1),(262,1),(263,1),(348,1),(441,1)}
       216:{1,2,5}:{(174,1),(180,1),(264,1),(284,1),(343,1),(363,1),(411,1)}
       217:{2,3,5}:{(174,1),(175,1),(181,1),(264,1),(265,1)}
       218:{3,4}:{(175,1),(265,1)}
       219:{1,2,4,7}:{(176,1),(180,1),(186,1),(247,1),(259,1),(267,1),(280,1),(339,1),(351,1),(359,1)}
       220:{2,3,7}:{(176,1),(177,1),(181,1),(267,1)}
       221:{3,4,7}:{(177,1),(178,1),(182,1),(269,1),(446,1)}
       222:{2,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(250,1),(262,1),(269,1),(270,1),(281,1),(340,1)}
       223:{2,5,6}:{(179,1),(190,1),(251,1),(263,1),(270,1)}
       224:{1,3,6}:{(180,1),(181,1),(184,1),(264,1),(267,1),(272,1),(334,1)}
       225:{2,3,4,6}:{(181,1),(182,1),(185,1),(192,1),(253,1),(265,1),(268,1),(273,1),(274,1),(279,1),(335,1),(347,1),(357,1),(361,1),(404,1)}
       226:{3,5}:{(182,1),(183,1)}
       227:{2,4,5,6}:{(183,1),(194,1),(255,1),(270,1),(275,1),(276,1),(285,1),(344,1),(349,1),(357,1),(412,1),(419,1),(442,1),(452,1)}
       228:{2,3}:{(184,1),(277,1)}
       229:{1,3,4}:{(184,1),(185,1),(195,1),(277,1),(278,1)}
       230:{2,3,5}:{(185,1),(196,1),(278,1),(279,1),(418,1)}
       231:{1,3,7}:{(186,1),(187,1),(191,1),(280,1)}
       232:{2,4,7}:{(187,1),(188,1),(192,1),(280,1),(281,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(193,1),(269,1),(281,1),(282,1)}
       234:{1,4,6}:{(189,1),(190,1),(270,1),(282,1),(407,1)}
       235:{1,5,6,7}:{(190,1),(271,1),(283,1),(443,1)}
       236:{1,4,6}:{(191,1),(192,1),(195,1),(280,1),(284,1),(368,1)}
       237:{2,5}:{(192,1),(193,1),(284,1)}
       238:{1,3,5,6}:{(193,1),(194,1),(197,1),(275,1),(282,1),(285,1),(286,1)}
       239:{1,4,5,7}:{(194,1),(276,1),(283,1),(286,1),(409,1),(420,1),(443,1)}
       240:{1,4,5}:{(195,1),(196,1),(278,1),(284,1),(287,1)}
       241:{2,4,6}:{(196,1),(197,1),(279,1),(285,1),(287,1),(288,1),(366,1)}
       242:{1,3,4,7}:{(197,1),(286,1),(288,1),(358,1),(367,1),(420,1),(446,1)}
       243:{2,4}:{(198,1),(199,1),(290,1)}
       244:{1,2,5}:{(199,1),(205,1),(289,1),(291,1),(424,1)}
       245:{2,3,5}:{(199,1),(200,1),(206,1),(290,1),(291,1),(292,1),(300,1),(371,1),(424,1)}
       246:{1,3,4}:{(200,1),(218,1),(292,1),(313,1),(391,1)}
       247:{1,2,7}:{(201,1),(205,1),(294,1),(447,1)}
       248:{2,3,7}:{(201,1),(202,1),(206,1),(294,1),(295,1),(447,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(207,1),(221,1),(295,1),(296,1)}
       250:{1,4,5,7}:{(203,1),(204,1),(208,1),(222,1),(296,1),(297,1),(328,1)}
       251:{1,5,6}:{(204,1),(223,1),(297,1)}
       252:{1,3,6}:{(205,1),(206,1),(291,1),(294,1),(299,1)}
       253:{2,4,6}:{(206,1),(207,1),(292,1),(295,1),(299,1),(300,1),(378,1)}
       254:{1,3,5}:{(207,1),(208,1),(226,1),(300,1)}
       255:{1,4,5,6}:{(208,1),(227,1),(297,1),(301,1),(302,1),(331,1),(393,1),(431,1)}
       256:{2,6}:{(209,1),(212,1)}
       257:{3,6}:{(210,1),(213,1)}
       258:{4,6}:{(211,1),(214,1),(306,1)}
       259:{1,2,5,7}:{(212,1),(216,1),(219,1),(303,1),(307,1),(328,1),(377,1),(395,1)}
       260:{2,3,5,7}:{(212,1),(213,1),(217,1),(220,1),(304,1),(307,1),(308,1),(384,1)}
       261:{3,4,7}:{(213,1),(214,1),(218,1),(305,1),(308,1)}
       262:{4,5,7}:{(214,1),(215,1),(306,1),(310,1),(448,1),(454,1)}
       263:{3,5,6}:{(215,1),(223,1),(310,1),(319,1)}
       264:{1,3,5}:{(216,1),(217,1),(224,1),(312,1),(313,1)}
       265:{2,4}:{(217,1),(218,1),(313,1)}
       266:{3,4,5}:{(218,1),(226,1),(314,1),(315,1),(448,1)}
       267:{1,3,7}:{(219,1),(220,1),(224,1),(316,1)}
       268:{2,3,4,7}:{(220,1),(221,1),(225,1),(232,1),(295,1),(308,1),(317,1),(318,1),(327,1),(394,1),(426,1)}
       269:{3,5,7}:{(221,1),(222,1),(226,1),(319,1)}
       270:{2,4,6}:{(222,1),(223,1),(234,1),(297,1),(310,1),(319,1),(329,1),(378,1)}
       271:{2,5,6,7}:{(223,1),(235,1),(298,1),(311,1),(320,1),(432,1),(450,1)}
       272:{2,3,6}:{(224,1),(228,1),(312,1),(316,1),(321,1),(371,1),(436,1)}
       273:{1,3,4,6}:{(224,1),(225,1),(229,1),(236,1),(299,1),(313,1),(317,1),(321,1),(322,1),(326,1),(372,1),(383,1),(391,1),(393,1),(396,1),(425,1),(429,1),(436,1)}
       274:{2,3,5}:{(225,1),(226,1),(237,1),(300,1),(314,1),(322,1),(384,1)}
       275:{3,5,6}:{(226,1),(227,1),(315,1),(319,1),(324,1),(436,1)}
       276:{2,4,5,7}:{(227,1),(239,1),(302,1),(320,1),(324,1),(332,1),(381,1),(386,1),(394,1),(432,1),(437,1),(450,1),(454,1)}
       277:{2,4}:{(228,1),(229,1),(325,1)}
       278:{1,3,5}:{(229,1),(230,1),(240,1),(325,1),(326,1)}
       279:{2,3,6}:{(230,1),(241,1),(326,1),(327,1),(436,1)}
       280:{1,4,7}:{(231,1),(232,1),(236,1),(328,1)}
       281:{2,5,7}:{(232,1),(233,1),(237,1),(328,1),(329,1)}
       282:{1,3,6}:{(233,1),(234,1),(319,1),(329,1)}
       283:{1,4,6,7}:{(234,1),(235,1),(239,1),(320,1),(330,1),(428,1)}
       284:{1,5}:{(236,1),(237,1)}
       285:{2,5,6}:{(237,1),(238,1),(241,1),(329,1),(331,1),(332,1)}
       286:{1,3,5,7}:{(238,1),(239,1),(242,1),(324,1),(330,1),(332,1)}
       287:{1,4,6}:{(240,1),(241,1),(326,1),(331,1),(333,1)}
       288:{2,4,7}:{(241,1),(242,1),(327,1),(332,1),(333,1),(400,1)}
       289:{1,2,4}:{(243,1),(244,1),(334,1),(336,1),(402,1)}
       290:{2,3}:{(243,1),(334,1)}
       291:{1,3,5}:{(244,1),(245,1),(252,1),(334,1),(336,1),(343,1)}
       292:{2,4}:{(245,1),(246,1),(336,1)}
       293:{1,3,4,5}:{(246,1),(254,1),(266,1),(337,1),(338,1),(356,1),(403,1),(418,1)}
       294:{1,3,7}:{(247,1),(248,1),(252,1),(339,1)}
       295:{2,4,7}:{(248,1),(249,1),(253,1),(339,1),(340,1)}
       296:{1,3,5,7}:{(249,1),(250,1),(254,1),(269,1),(340,1),(341,1)}
       297:{1,4,6}:{(250,1),(251,1),(270,1),(341,1),(368,1)}
       298:{1,5,6,7}:{(251,1),(271,1),(342,1),(443,1)}
       299:{1,4,6}:{(252,1),(253,1),(336,1),(339,1),(343,1),(407,1)}
       300:{2,5}:{(253,1),(254,1),(343,1)}
       301:{1,3,5,6}:{(254,1),(255,1),(275,1),(338,1),(341,1),(344,1),(345,1)}
       302:{1,4,5,7}:{(255,1),(276,1),(342,1),(345,1),(370,1),(420,1),(443,1)}
       303:{1,2,6}:{(256,1),(259,1),(346,1),(368,1),(407,1),(421,1)}
       304:{2,3,6}:{(256,1),(257,1),(260,1),(346,1),(347,1)}
       305:{3,4,6}:{(257,1),(258,1),(261,1),(347,1),(348,1)}
       306:{4,5}:{(258,1),(348,1)}
       307:{1,3,5,7}:{(259,1),(260,1),(264,1),(267,1),(346,1),(350,1),(351,1),(411,1)}
       308:{2,4,7}:{(260,1),(261,1),(265,1),(347,1),(351,1)}
       309:{3,4,5,7}:{(261,1),(262,1),(266,1),(269,1),(348,1),(352,1),(353,1),(358,1),(413,1)}
       310:{4,6}:{(262,1),(263,1)}
       311:{3,5,6,7}:{(263,1),(271,1),(354,1),(362,1),(413,1),(453,1)}
       312:{2,3,5}:{(264,1),(272,1),(355,1),(363,1),(418,1)}
       313:{1,4}:{(264,1),(265,1),(355,1)}
       314:{2,4,5}:{(265,1),(266,1),(274,1),(356,1),(357,1)}
       315:{3,4,6}:{(266,1),(275,1),(357,1),(358,1),(452,1)}
       316:{2,3,7}:{(267,1),(272,1),(359,1),(446,1)}
       317:{1,3,4,7}:{(267,1),(268,1),(273,1),(280,1),(339,1),(351,1),(359,1),(360,1),(367,1),(414,1),(420,1),(440,1),(446,1)}
       318:{2,3,5,7}:{(268,1),(269,1),(274,1),(281,1),(340,1),(352,1),(360,1),(361,1)}
       319:{3,6}:{(269,1),(270,1)}
       320:{2,4,6,7}:{(270,1),(271,1),(276,1),(283,1),(342,1),(354,1),(362,1),(369,1),(408,1)}
       321:{2,4,6}:{(272,1),(273,1),(277,1),(355,1),(359,1),(363,1),(366,1),(402,1),(421,1),(439,1)}
       322:{1,3,5}:{(273,1),(274,1),(284,1),(343,1),(356,1),(363,1),(411,1),(418,1),(441,1)}
       323:{2,3,5,6}:{(274,1),(275,1),(279,1),(285,1),(344,1),(357,1),(361,1),(364,1),(365,1),(404,1),(412,1)}
       324:{3,5,7}:{(275,1),(276,1),(358,1),(362,1),(446,1)}
       325:{2,5}:{(277,1),(278,1),(366,1)}
       326:{1,3,6}:{(278,1),(279,1),(287,1),(366,1),(367,1)}
       327:{2,3,7}:{(279,1),(288,1),(367,1),(446,1)}
       328:{1,5,7}:{(280,1),(281,1),(284,1),(368,1)}
       329:{2,6}:{(281,1),(282,1),(368,1)}
       330:{1,3,6,7}:{(282,1),(283,1),(286,1),(362,1),(369,1)}
       331:{1,5,6}:{(284,1),(285,1),(287,1),(368,1),(370,1)}
       332:{2,5,7}:{(285,1),(286,1),(288,1),(369,1),(370,1)}
       333:{1,4,7}:{(287,1),(288,1),(367,1),(370,1)}
       334:{1,3}:{(289,1),(290,1),(371,1)}
       335:{2,3,4}:{(290,1),(292,1),(372,1),(373,1),(391,1)}
       336:{1,4}:{(291,1),(292,1)}
       337:{2,4,5}:{(292,1),(293,1),(300,1),(373,1),(374,1),(375,1),(424,1)}
       338:{1,3,4,6}:{(293,1),(301,1),(315,1),(375,1),(376,1),(393,1),(425,1),(436,1)}
       339:{1,4,7}:{(294,1),(295,1),(299,1),(377,1)}
       340:{2,5,7}:{(295,1),(296,1),(300,1),(377,1),(378,1)}
       341:{1,3,6}:{(296,1),(297,1),(319,1),(378,1)}
       342:{1,4,6,7}:{(297,1),(298,1),(302,1),(320,1),(379,1),(401,1)}
       343:{1,5}:{(299,1),(300,1)}
       344:{2,5,6}:{(300,1),(301,1),(375,1),(378,1),(380,1),(381,1)}
       345:{1,3,5,7}:{(301,1),(302,1),(324,1),(376,1),(379,1),(381,1)}
       346:{1,3,6}:{(303,1),(304,1),(307,1),(382,1),(383,1)}
       347:{2,4,6}:{(304,1),(305,1),(308,1),(383,1),(384,1)}
       348:{3,5}:{(305,1),(306,1),(384,1)}
       349:{4,5,6}:{(306,1),(310,1),(385,1),(386,1)}
       350:{2,3,5,7}:{(307,1),(312,1),(316,1),(382,1),(387,1),(395,1),(430,1),(433,1)}
       351:{1,4,7}:{(307,1),(308,1),(313,1),(383,1),(387,1)}
       352:{2,4,5,7}:{(308,1),(309,1),(314,1),(318,1),(384,1),(388,1),(389,1),(394,1),(432,1)}
       353:{3,4,6}:{(309,1),(310,1),(319,1),(385,1),(389,1)}
       354:{4,6,7}:{(310,1),(311,1),(386,1),(454,1)}
       355:{2,4}:{(312,1),(313,1),(391,1)}
       356:{1,4,5}:{(313,1),(314,1),(322,1),(392,1),(393,1),(448,1)}
       357:{2,4,6}:{(314,1),(315,1),(323,1),(393,1),(394,1)}
       358:{3,4,7}:{(315,1),(324,1),(394,1),(454,1)}
       359:{2,4,7}:{(316,1),(317,1),(321,1),(395,1),(400,1),(447,1)}
       360:{1,3,5,7}:{(317,1),(318,1),(322,1),(328,1),(377,1),(388,1),(395,1),(396,1),(433,1)}
       361:{2,3,6}:{(318,1),(319,1),(329,1),(378,1),(389,1),(396,1)}
       362:{3,6,7}:{(319,1),(320,1),(324,1)}
       363:{2,5}:{(321,1),(322,1)}
       364:{1,3,5,6}:{(322,1),(323,1),(326,1),(331,1),(380,1),(393,1),(396,1),(398,1),(399,1),(425,1),(431,1),(436,1),(449,1)}
       365:{2,3,5,7}:{(323,1),(324,1),(327,1),(332,1),(381,1),(394,1),(397,1),(399,1),(426,1),(432,1)}
       366:{2,6}:{(325,1),(326,1),(400,1)}
       367:{1,3,7}:{(326,1),(327,1),(333,1),(400,1)}
       368:{1,6}:{(328,1),(329,1)}
       369:{2,6,7}:{(329,1),(330,1),(332,1),(401,1)}
       370:{1,5,7}:{(331,1),(332,1),(333,1),(401,1)}
       371:{2,3}:{(334,1),(402,1)}
       372:{1,3,4}:{(334,1),(335,1),(336,1),(402,1),(403,1)}
       373:{2,3,5}:{(335,1),(337,1),(403,1),(404,1),(418,1)}
       374:{1,4,5}:{(336,1),(337,1),(343,1),(403,1),(405,1)}
       375:{2,4,6}:{(337,1),(338,1),(344,1),(404,1),(405,1),(406,1),(439,1)}
       376:{1,3,4,7}:{(338,1),(345,1),(358,1),(406,1),(420,1),(440,1),(446,1)}
       377:{1,5,7}:{(339,1),(340,1),(343,1),(407,1)}
       378:{2,6}:{(340,1),(341,1),(407,1)}
       379:{1,3,6,7}:{(341,1),(342,1),(345,1),(362,1),(408,1)}
       380:{1,5,6}:{(343,1),(344,1),(405,1),(407,1),(409,1)}
       381:{2,5,7}:{(344,1),(345,1),(406,1),(408,1),(409,1)}
       382:{2,3,6}:{(346,1),(350,1),(410,1),(421,1),(444,1)}
       383:{1,4,6}:{(346,1),(347,1),(351,1),(410,1),(411,1)}
       384:{2,5}:{(347,1),(348,1),(411,1)}
       385:{3,5,6}:{(348,1),(349,1),(353,1),(412,1),(413,1)}
       386:{4,5,7}:{(349,1),(354,1),(413,1)}
       387:{2,4,7}:{(350,1),(351,1),(355,1),(410,1),(414,1)}
       388:{1,4,5,7}:{(351,1),(352,1),(356,1),(360,1),(411,1),(415,1),(416,1),(420,1),(443,1)}
       389:{2,4,6}:{(352,1),(353,1),(361,1),(412,1),(416,1)}
       390:{3,4,6,7}:{(353,1),(354,1),(358,1),(362,1),(413,1),(417,1)}
       391:{3,4}:{(355,1),(418,1)}
       392:{2,4,5}:{(355,1),(356,1),(363,1),(418,1),(419,1)}
       393:{1,4,6}:{(356,1),(357,1),(364,1),(419,1),(420,1),(452,1)}
       394:{2,4,7}:{(357,1),(358,1),(365,1),(420,1)}
       395:{2,5,7}:{(359,1),(360,1),(363,1),(421,1)}
       396:{1,3,6}:{(360,1),(361,1),(368,1),(407,1),(416,1),(421,1),(444,1)}
       397:{2,3,6,7}:{(361,1),(362,1),(365,1),(369,1),(408,1),(417,1),(422,1)}
       398:{2,5,6}:{(363,1),(364,1),(366,1),(419,1),(421,1),(423,1),(439,1)}
       399:{1,3,5,7}:{(364,1),(365,1),(367,1),(370,1),(409,1),(420,1),(422,1),(423,1),(440,1),(443,1),(446,1),(453,1)}
       400:{2,7}:{(366,1),(367,1)}
       401:{1,6,7}:{(368,1),(369,1),(370,1)}
       402:{2,4}:{(371,1),(372,1),(424,1)}
       403:{1,3,5}:{(372,1),(373,1),(374,1),(424,1),(425,1)}
       404:{2,3,6}:{(373,1),(375,1),(425,1),(426,1),(436,1)}
       405:{1,4,6}:{(374,1),(375,1),(380,1),(425,1),(427,1)}
       406:{2,4,7}:{(375,1),(376,1),(381,1),(426,1),(427,1),(447,1)}
       407:{1,6}:{(377,1),(378,1)}
       408:{2,6,7}:{(378,1),(379,1),(381,1),(428,1)}
       409:{1,5,7}:{(380,1),(381,1),(427,1),(428,1)}
       410:{2,4,6}:{(382,1),(383,1),(387,1),(429,1),(430,1)}
       411:{1,5}:{(383,1),(384,1),(430,1)}
       412:{2,5,6}:{(384,1),(385,1),(389,1),(431,1),(432,1)}
       413:{3,5,7}:{(385,1),(386,1),(390,1),(432,1)}
       414:{3,4,7}:{(387,1),(391,1),(429,1),(433,1),(454,1)}
       415:{2,4,5,7}:{(387,1),(388,1),(392,1),(395,1),(430,1),(433,1),(434,1),(437,1),(448,1),(450,1),(454,1)}
       416:{1,4,6}:{(388,1),(389,1),(396,1),(431,1),(434,1)}
       417:{2,4,6,7}:{(389,1),(390,1),(394,1),(397,1),(432,1),(435,1)}
       418:{3,5}:{(391,1),(392,1),(436,1)}
       419:{2,4,6}:{(392,1),(393,1),(398,1),(436,1),(437,1)}
       420:{1,4,7}:{(393,1),(394,1),(399,1),(437,1),(454,1)}
       421:{2,6}:{(395,1),(396,1)}
       422:{1,3,6,7}:{(396,1),(397,1),(399,1),(401,1),(428,1),(435,1),(438,1),(451,1)}
       423:{2,5,7}:{(398,1),(399,1),(400,1),(437,1),(438,1),(447,1)}
       424:{2,5}:{(402,1),(403,1),(439,1)}
       425:{1,3,6}:{(403,1),(404,1),(405,1),(439,1),(440,1)}
       426:{2,3,7}:{(404,1),(406,1),(440,1),(446,1)}
       427:{1,4,7}:{(405,1),(406,1),(409,1),(440,1)}
       428:{1,6,7}:{(407,1),(408,1),(409,1)}
       429:{3,4,6}:{(410,1),(414,1),(441,1),(444,1),(452,1)}
       430:{2,5}:{(410,1),(411,1),(441,1)}
       431:{1,5,6}:{(411,1),(412,1),(416,1),(442,1),(443,1)}
       432:{2,5,7}:{(412,1),(413,1),(417,1),(443,1)}
       433:{3,5,7}:{(414,1),(415,1),(418,1),(441,1),(444,1),(446,1)}
       434:{2,4,6}:{(415,1),(416,1),(421,1),(442,1),(444,1),(452,1)}
       435:{1,4,6,7}:{(416,1),(417,1),(420,1),(422,1),(443,1),(445,1)}
       436:{3,6}:{(418,1),(419,1),(446,1)}
       437:{2,4,7}:{(419,1),(420,1),(423,1),(446,1)}
       438:{2,6,7}:{(421,1),(422,1),(423,1)}
       439:{2,6}:{(424,1),(425,1),(447,1)}
       440:{1,3,7}:{(425,1),(426,1),(427,1),(447,1)}
       441:{3,5}:{(429,1),(430,1),(448,1)}
       442:{2,5,6}:{(430,1),(431,1),(434,1),(449,1),(450,1)}
       443:{1,5,7}:{(431,1),(432,1),(435,1),(450,1)}
       444:{3,6}:{(433,1),(434,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(438,1),(450,1),(451,1),(454,1)}
       446:{3,7}:{(436,1),(437,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,5,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{3,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 590 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 591 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 592 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 593 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(14,1),(37,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(50,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        13:{1,2,7}:{(5,1),(24,1),(53,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(30,1),(31,1),(60,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(12,1),(28,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,6}:{(12,1),(14,1),(33,1),(37,1),(38,1),(71,1)}
        24:{1,3,7}:{(12,1),(13,1),(34,1),(38,1),(101,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(37,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        29:{1,2,7}:{(17,1),(45,1),(96,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,4,6}:{(20,1),(21,1),(23,1),(44,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,3,7}:{(20,1),(24,1),(45,1),(51,1),(53,1),(81,1),(96,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(50,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,5}:{(23,1),(50,1)}
        38:{1,4,7}:{(23,1),(24,1),(51,1),(55,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(54,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,4,6}:{(28,1),(30,1),(33,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(28,1),(29,1),(34,1),(61,1),(63,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(60,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(33,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,5}:{(33,1),(37,1),(60,1),(64,1)}
        51:{2,4,7}:{(33,1),(34,1),(38,1),(61,1),(65,1),(68,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(67,1),(69,1),(86,1),(90,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(39,1),(67,1),(70,1),(71,1)}
        55:{1,5,7}:{(37,1),(38,1),(68,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(70,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,5}:{(44,1),(50,1)}
        61:{1,4,7}:{(44,1),(45,1),(51,1),(76,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(75,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,5}:{(48,1),(50,1),(78,1)}
        65:{3,4,7}:{(48,1),(51,1),(80,1),(81,1),(98,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,6}:{(50,1),(52,1),(54,1),(75,1),(79,1),(82,1),(83,1)}
        68:{2,5,7}:{(50,1),(51,1),(55,1),(76,1),(80,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        70:{1,5,7}:{(54,1),(56,1),(82,1),(84,1)}
        71:{1,6}:{(55,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(62,1),(67,1),(88,1),(89,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(88,1)}
        78:{4,5}:{(64,1),(90,1)}
        79:{3,5,6}:{(64,1),(66,1),(67,1),(90,1),(92,1),(93,1),(103,1)}
        80:{3,5,7}:{(64,1),(65,1),(68,1),(91,1),(93,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,5,7}:{(67,1),(69,1),(70,1),(88,1),(92,1),(94,1)}
        83:{2,6}:{(68,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,5,7}:{(75,1),(77,1),(82,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(79,1),(98,1)}
        91:{4,5,7}:{(78,1),(80,1),(98,1),(99,1),(104,1)}
        92:{3,5,7}:{(79,1),(81,1),(82,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(80,1),(83,1),(99,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(92,1)}
        99:{4,6}:{(91,1),(93,1),(103,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 594 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 595 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(66,1),(74,1),(145,1),(151,1),(153,1),(161,1),(223,1),(247,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(25,1),(28,1),(66,1),(84,1),(85,1),(153,1),(223,1),(231,1),(304,1),(317,1),(373,1),(374,1)}
         2:{1,3,5,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(11,1),(38,1),(45,1),(104,1),(106,1),(107,1),(198,1),(200,1),(291,1),(358,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(40,1),(191,1),(204,1),(264,1),(280,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(105,1),(113,1),(194,1),(209,1),(269,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(277,1),(393,1)}
         6:{2,3,5,7}:{(1,1),(9,1),(16,1),(17,1),(46,1),(51,1),(56,1),(105,1),(269,1),(339,1),(389,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(25,1),(58,1),(66,1),(138,1),(139,1),(153,1),(161,1),(169,1),(250,1),(263,1),(336,1),(337,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(20,1),(22,1),(245,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(6,1),(19,1),(22,1),(23,1),(26,1),(71,1),(75,1),(152,1)}
        10:{1,2,4,5}:{(3,1),(20,1),(24,1),(66,1),(72,1),(150,1),(151,1),(165,1),(227,1),(243,1),(245,1),(248,1)}
        11:{1,3,6}:{(3,1),(24,1),(25,1),(26,1),(250,1),(304,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(22,1),(26,1),(70,1),(239,1),(251,1),(305,1),(320,1)}
        13:{1,2,6,7}:{(4,1),(23,1),(153,1),(242,1),(247,1),(257,1),(311,1)}
        14:{2,4,5}:{(5,1),(20,1),(28,1),(66,1),(374,1),(405,1)}
        15:{3,4,6}:{(5,1),(28,1),(31,1),(84,1),(304,1),(312,1)}
        16:{2,4,7}:{(5,1),(6,1),(22,1),(31,1),(403,1)}
        17:{2,3,6,7}:{(6,1),(23,1),(32,1),(84,1),(153,1),(311,1),(317,1),(368,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(35,1),(217,1),(365,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(35,1),(36,1),(46,1),(93,1),(98,1),(105,1),(209,1),(294,1),(361,1)}
        20:{1,4,5}:{(8,1),(14,1),(33,1),(38,1),(104,1),(358,1)}
        21:{1,3,4,6}:{(8,1),(11,1),(15,1),(34,1),(38,1),(40,1),(41,1),(43,1),(106,1)}
        22:{1,4,7}:{(8,1),(9,1),(16,1),(35,1)}
        23:{1,3,6,7}:{(9,1),(13,1),(17,1),(36,1),(42,1),(106,1),(200,1),(291,1)}
        24:{1,3,5}:{(10,1),(11,1),(43,1),(44,1),(212,1),(272,1),(292,1)}
        25:{2,3,6}:{(11,1),(40,1),(44,1),(45,1),(46,1),(280,1)}
        26:{1,3,7}:{(11,1),(12,1),(46,1),(294,1),(339,1)}
        27:{2,4,5,6}:{(14,1),(37,1),(47,1),(48,1),(52,1),(100,1),(114,1),(215,1),(216,1),(264,1),(342,1),(347,1),(390,1),(393,1)}
        28:{3,5}:{(14,1),(15,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(39,1),(51,1),(52,1),(56,1),(105,1),(129,1)}
        30:{2,3,4,6}:{(15,1),(40,1),(50,1),(53,1),(54,1),(110,1),(114,1),(125,1),(187,1),(190,1),(277,1),(338,1),(348,1),(351,1)}
        31:{3,4,7}:{(15,1),(16,1),(51,1),(339,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(42,1),(52,1),(55,1),(56,1),(348,1)}
        33:{2,4,5}:{(18,1),(20,1),(58,1),(66,1),(337,1),(386,1)}
        34:{3,4,6}:{(18,1),(58,1),(61,1),(138,1),(250,1),(258,1)}
        35:{2,4,7}:{(18,1),(19,1),(22,1),(61,1),(384,1)}
        36:{2,3,6,7}:{(19,1),(23,1),(62,1),(138,1),(153,1),(257,1),(263,1),(331,1)}
        37:{1,4,5,6}:{(20,1),(27,1),(57,1),(63,1),(64,1),(68,1),(145,1),(158,1),(220,1),(261,1),(315,1),(323,1),(380,1)}
        38:{1,3,5}:{(20,1),(21,1),(28,1),(58,1),(66,1)}
        39:{1,4,5,7}:{(20,1),(22,1),(29,1),(59,1),(67,1),(68,1),(71,1),(152,1)}
        40:{2,4,6}:{(21,1),(25,1),(66,1),(69,1),(70,1),(72,1),(153,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(26,1),(31,1),(61,1),(67,1),(70,1)}
        42:{1,4,6,7}:{(22,1),(23,1),(32,1),(62,1),(68,1),(71,1),(328,1)}
        43:{1,3,4}:{(24,1),(72,1),(245,1),(258,1),(312,1)}
        44:{2,3,5}:{(24,1),(25,1),(66,1),(72,1),(73,1),(243,1),(249,1)}
        45:{1,3,6}:{(25,1),(69,1),(73,1),(74,1),(75,1)}
        46:{2,3,7}:{(25,1),(26,1),(70,1),(75,1),(320,1)}
        47:{3,5,6}:{(27,1),(28,1),(76,1),(78,1),(84,1),(304,1),(366,1),(401,1)}
        48:{2,4,5,7}:{(27,1),(64,1),(78,1),(79,1),(146,1),(159,1),(253,1),(254,1),(305,1),(369,1),(403,1)}
        49:{3,4,5}:{(28,1),(76,1),(80,1),(312,1),(366,1),(405,1)}
        50:{2,3,5}:{(28,1),(30,1),(66,1),(80,1),(82,1),(366,1),(374,1),(377,1)}
        51:{3,5,7}:{(28,1),(29,1),(31,1),(84,1)}
        52:{2,4,6}:{(29,1),(68,1),(84,1),(85,1),(153,1),(172,1)}
        53:{1,3,4,6}:{(30,1),(69,1),(82,1),(86,1),(87,1),(154,1),(156,1),(158,1),(171,1),(236,1),(245,1),(250,1),(258,1),(328,1),(335,1),(375,1)}
        54:{2,3,4,7}:{(30,1),(31,1),(70,1),(83,1),(87,1),(159,1),(235,1),(237,1),(316,1),(367,1),(378,1)}
        55:{3,4,6,7}:{(31,1),(32,1),(84,1),(88,1),(172,1),(368,1),(372,1),(403,1)}
        56:{2,5,7}:{(32,1),(71,1),(85,1),(88,1),(374,1)}
        57:{2,4,5,6}:{(33,1),(37,1),(89,1),(90,1),(94,1),(100,1),(174,1),(204,1),(275,1),(276,1),(297,1),(302,1),(362,1),(365,1)}
        58:{3,5}:{(33,1),(34,1)}
        59:{2,4,5,7}:{(33,1),(35,1),(39,1),(93,1),(94,1),(98,1),(105,1),(189,1)}
        60:{2,3,4,6}:{(34,1),(40,1),(92,1),(95,1),(96,1),(110,1),(127,1),(174,1),(185,1),(190,1),(217,1),(293,1),(303,1),(351,1)}
        61:{3,4,7}:{(34,1),(35,1),(93,1),(294,1)}
        62:{2,4,6,7}:{(35,1),(36,1),(42,1),(94,1),(97,1),(98,1),(303,1)}
        63:{1,3,5,6}:{(37,1),(38,1),(47,1),(89,1),(99,1),(100,1),(101,1),(106,1),(353,1),(397,1)}
        64:{1,4,5,7}:{(37,1),(48,1),(90,1),(101,1),(102,1),(194,1),(205,1),(265,1),(296,1),(341,1)}
        65:{1,3,4,5}:{(38,1),(43,1),(49,1),(91,1),(99,1),(103,1),(120,1),(180,1),(196,1),(212,1),(272,1),(289,1),(353,1)}
        66:{2,5}:{(38,1),(40,1),(104,1)}
        67:{1,3,5,7}:{(38,1),(39,1),(41,1),(51,1),(93,1),(105,1),(106,1)}
        68:{1,4,6}:{(39,1),(52,1),(94,1),(106,1),(107,1),(200,1)}
        69:{1,4,6}:{(40,1),(45,1),(104,1),(109,1),(111,1),(200,1)}
        70:{2,4,7}:{(40,1),(41,1),(46,1),(105,1),(109,1)}
        71:{1,5,7}:{(42,1),(56,1),(98,1),(107,1),(358,1)}
        72:{2,4}:{(43,1),(44,1),(111,1)}
        73:{1,3,5}:{(44,1),(45,1),(104,1),(111,1),(112,1),(203,1)}
        74:{1,2,6}:{(45,1),(112,1),(113,1),(280,1)}
        75:{1,3,7}:{(45,1),(46,1),(109,1),(113,1)}
        76:{3,4,6}:{(47,1),(49,1),(114,1),(115,1),(393,1)}
        77:{2,3,5,6}:{(47,1),(50,1),(100,1),(114,1),(116,1),(117,1),(125,1),(190,1),(215,1)}
        78:{3,5,7}:{(47,1),(48,1),(115,1),(118,1),(339,1)}
        79:{2,4,6,7}:{(48,1),(52,1),(102,1),(118,1),(119,1),(195,1),(211,1),(390,1)}
        80:{2,4,5}:{(49,1),(50,1),(114,1),(120,1),(277,1)}
        81:{3,4,5,7}:{(49,1),(51,1),(115,1),(121,1),(122,1),(129,1),(207,1),(345,1),(387,1),(392,1),(410,1)}
        82:{1,3,5}:{(50,1),(53,1),(104,1),(120,1),(123,1),(212,1),(358,1),(364,1),(394,1)}
        83:{2,3,5,7}:{(50,1),(51,1),(54,1),(105,1),(121,1),(124,1),(125,1),(387,1),(396,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,5,6}:{(52,1),(56,1),(107,1),(126,1)}
        86:{2,4,6}:{(53,1),(123,1),(127,1),(128,1),(202,1),(217,1),(219,1),(280,1)}
        87:{1,3,4,7}:{(53,1),(54,1),(109,1),(124,1),(128,1),(201,1),(205,1),(281,1),(290,1),(294,1),(300,1),(395,1)}
        88:{3,5,7}:{(55,1),(56,1),(126,1),(129,1),(392,1)}
        89:{3,5,6}:{(57,1),(58,1),(130,1),(132,1),(138,1),(250,1),(329,1),(382,1)}
        90:{2,4,5,7}:{(57,1),(64,1),(132,1),(133,1),(146,1),(221,1),(251,1),(307,1),(308,1),(332,1),(384,1)}
        91:{3,4,5}:{(58,1),(130,1),(134,1),(258,1),(329,1),(386,1)}
        92:{2,3,5}:{(58,1),(60,1),(66,1),(134,1),(136,1),(329,1),(337,1),(377,1)}
        93:{3,5,7}:{(58,1),(59,1),(61,1),(138,1)}
        94:{2,4,6}:{(59,1),(68,1),(138,1),(139,1),(153,1),(234,1)}
        95:{1,3,4,6}:{(60,1),(69,1),(136,1),(140,1),(141,1),(154,1),(156,1),(220,1),(233,1),(236,1),(245,1),(304,1),(312,1),(328,1),(372,1),(375,1)}
        96:{2,3,4,7}:{(60,1),(61,1),(70,1),(137,1),(141,1),(173,1),(221,1),(237,1),(262,1),(330,1),(378,1)}
        97:{3,4,6,7}:{(61,1),(62,1),(138,1),(142,1),(234,1),(331,1),(335,1),(384,1)}
        98:{2,5,7}:{(62,1),(71,1),(139,1),(142,1),(337,1)}
        99:{1,3,4,6}:{(63,1),(65,1),(76,1),(130,1),(143,1),(144,1),(158,1),(220,1),(236,1),(250,1),(304,1)}
       100:{2,5,6}:{(63,1),(66,1),(143,1),(145,1),(146,1),(153,1),(377,1),(407,1)}
       101:{1,3,5,7}:{(63,1),(64,1),(78,1),(132,1),(144,1),(146,1),(147,1)}
       102:{1,4,6,7}:{(64,1),(68,1),(79,1),(133,1),(147,1),(148,1),(242,1),(380,1)}
       103:{2,4,5}:{(65,1),(66,1),(72,1),(143,1),(149,1),(150,1),(243,1),(327,1),(377,1)}
       104:{1,5}:{(66,1),(69,1)}
       105:{2,5,7}:{(66,1),(67,1),(70,1),(152,1),(153,1)}
       106:{1,3,6}:{(67,1),(68,1),(84,1),(138,1),(153,1)}
       107:{1,5,6}:{(68,1),(71,1),(85,1),(139,1)}
       108:{1,2,4,6}:{(69,1),(74,1),(86,1),(140,1),(151,1),(154,1),(155,1),(157,1),(245,1),(247,1),(248,1),(318,1),(328,1),(375,1)}
       109:{1,4,7}:{(69,1),(70,1),(75,1),(152,1)}
       110:{2,3,4}:{(72,1),(149,1),(156,1),(249,1),(258,1),(312,1),(327,1)}
       111:{1,4}:{(72,1),(73,1)}
       112:{1,2,5}:{(73,1),(74,1),(157,1),(243,1)}
       113:{1,2,7}:{(74,1),(75,1),(320,1)}
       114:{2,4,6}:{(76,1),(77,1),(80,1),(158,1),(159,1)}
       115:{3,4,7}:{(76,1),(78,1),(159,1),(403,1)}
       116:{1,3,5,6}:{(77,1),(82,1),(145,1),(158,1),(161,1),(162,1),(171,1),(236,1),(250,1),(261,1),(336,1)}
       117:{2,3,5,7}:{(77,1),(78,1),(146,1),(159,1),(162,1),(163,1),(237,1),(253,1)}
       118:{3,6,7}:{(78,1),(79,1),(84,1),(401,1)}
       119:{2,5,6,7}:{(79,1),(85,1),(148,1),(164,1),(253,1),(369,1),(404,1)}
       120:{1,4,5}:{(80,1),(82,1),(158,1),(165,1),(245,1),(386,1)}
       121:{2,4,5,7}:{(80,1),(81,1),(83,1),(159,1),(166,1),(167,1),(253,1),(316,1),(374,1)}
       122:{3,4,6}:{(81,1),(84,1),(167,1),(168,1),(172,1),(401,1),(412,1)}
       123:{2,5}:{(82,1),(86,1)}
       124:{1,3,5,7}:{(82,1),(83,1),(87,1),(152,1),(166,1),(170,1),(171,1),(259,1),(406,1)}
       125:{2,3,6}:{(83,1),(84,1),(153,1),(167,1),(171,1),(401,1),(407,1)}
       126:{3,5,6}:{(84,1),(85,1),(88,1),(172,1)}
       127:{2,3,6}:{(86,1),(154,1),(169,1),(173,1),(249,1),(250,1)}
       128:{2,4,7}:{(86,1),(87,1),(170,1),(173,1),(320,1)}
       129:{4,5,7}:{(88,1),(172,1),(403,1),(405,1)}
       130:{3,4,6}:{(89,1),(91,1),(174,1),(175,1),(365,1)}
       131:{2,3,5,6}:{(89,1),(92,1),(100,1),(174,1),(176,1),(177,1),(185,1),(190,1),(275,1)}
       132:{3,5,7}:{(89,1),(90,1),(175,1),(178,1),(294,1)}
       133:{2,4,6,7}:{(90,1),(94,1),(102,1),(178,1),(179,1),(195,1),(271,1),(362,1)}
       134:{2,4,5}:{(91,1),(92,1),(174,1),(180,1),(217,1)}
       135:{3,4,5,7}:{(91,1),(93,1),(175,1),(181,1),(182,1),(189,1),(267,1),(300,1),(359,1),(364,1),(400,1)}
       136:{1,3,5}:{(92,1),(95,1),(104,1),(180,1),(183,1),(272,1),(358,1),(392,1),(394,1)}
       137:{2,3,5,7}:{(92,1),(93,1),(96,1),(105,1),(181,1),(184,1),(185,1),(359,1),(396,1)}
       138:{3,6}:{(93,1),(94,1)}
       139:{2,5,6}:{(94,1),(98,1),(107,1),(186,1)}
       140:{2,4,6}:{(95,1),(183,1),(187,1),(188,1),(202,1),(277,1),(279,1),(280,1)}
       141:{1,3,4,7}:{(95,1),(96,1),(109,1),(184,1),(188,1),(201,1),(265,1),(281,1),(290,1),(339,1),(345,1),(395,1)}
       142:{3,5,7}:{(97,1),(98,1),(186,1),(189,1),(364,1)}
       143:{2,4,6}:{(99,1),(100,1),(103,1),(190,1),(191,1),(192,1),(280,1)}
       144:{1,3,4,7}:{(99,1),(101,1),(115,1),(175,1),(192,1),(205,1),(265,1),(281,1),(294,1),(339,1)}
       145:{1,5,6}:{(100,1),(104,1),(191,1),(194,1),(200,1),(394,1),(411,1)}
       146:{2,5,7}:{(100,1),(101,1),(192,1),(194,1),(195,1)}
       147:{1,3,6,7}:{(101,1),(102,1),(106,1),(118,1),(178,1),(195,1),(397,1)}
       148:{1,5,6,7}:{(102,1),(107,1),(119,1),(179,1),(296,1),(341,1),(398,1)}
       149:{2,3,5}:{(103,1),(110,1),(190,1),(196,1),(212,1),(272,1)}
       150:{1,4,5}:{(103,1),(104,1),(111,1),(191,1),(196,1),(357,1),(394,1)}
       151:{1,2,5}:{(104,1),(108,1),(123,1),(183,1),(198,1),(358,1),(394,1)}
       152:{1,5,7}:{(104,1),(105,1),(109,1),(200,1)}
       153:{2,6}:{(105,1),(106,1),(200,1)}
       154:{1,3,6}:{(108,1),(127,1),(187,1),(198,1),(201,1),(203,1),(292,1)}
       155:{1,2,4,7}:{(108,1),(109,1),(113,1),(128,1),(188,1),(199,1),(201,1),(290,1),(350,1),(395,1)}
       156:{1,3,4}:{(110,1),(111,1),(196,1),(202,1),(203,1),(292,1),(357,1)}
       157:{1,2,4}:{(111,1),(112,1),(202,1),(203,1)}
       158:{1,4,6}:{(114,1),(116,1),(120,1),(204,1),(205,1),(365,1)}
       159:{2,4,7}:{(114,1),(115,1),(117,1),(205,1)}
       160:{3,4,6,7}:{(115,1),(118,1),(122,1),(206,1),(207,1),(211,1)}
       161:{2,5,6}:{(116,1),(123,1),(204,1),(209,1),(219,1),(280,1)}
       162:{1,3,5,7}:{(116,1),(117,1),(194,1),(205,1),(209,1),(210,1),(281,1),(294,1),(296,1),(361,1)}
       163:{2,3,6,7}:{(117,1),(118,1),(125,1),(195,1),(206,1),(210,1)}
       164:{3,5,6,7}:{(118,1),(119,1),(126,1),(207,1),(211,1),(389,1),(409,1)}
       165:{2,4,5}:{(120,1),(123,1),(204,1),(212,1),(217,1)}
       166:{1,4,5,7}:{(120,1),(121,1),(124,1),(205,1),(213,1),(214,1),(290,1),(296,1),(358,1)}
       167:{2,4,6}:{(121,1),(122,1),(125,1),(214,1),(215,1)}
       168:{3,5,6}:{(122,1),(207,1),(215,1),(216,1),(392,1)}
       169:{2,3,5}:{(123,1),(127,1),(198,1),(212,1),(217,1)}
       170:{2,5,7}:{(123,1),(124,1),(128,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(200,1),(214,1),(219,1),(301,1),(411,1)}
       172:{4,6}:{(126,1),(129,1)}
       173:{2,3,7}:{(127,1),(128,1),(201,1),(294,1)}
       174:{2,4,6}:{(130,1),(131,1),(134,1),(220,1),(221,1)}
       175:{3,4,7}:{(130,1),(132,1),(221,1),(384,1)}
       176:{1,3,5,6}:{(131,1),(136,1),(145,1),(220,1),(223,1),(224,1),(233,1),(236,1),(304,1),(315,1),(373,1)}
       177:{2,3,5,7}:{(131,1),(132,1),(146,1),(221,1),(224,1),(225,1),(237,1),(307,1)}
       178:{3,6,7}:{(132,1),(133,1),(138,1),(382,1)}
       179:{2,5,6,7}:{(133,1),(139,1),(148,1),(226,1),(307,1),(332,1),(385,1)}
       180:{1,4,5}:{(134,1),(136,1),(220,1),(227,1),(245,1),(405,1)}
       181:{2,4,5,7}:{(134,1),(135,1),(137,1),(221,1),(228,1),(229,1),(262,1),(307,1),(337,1)}
       182:{3,4,6}:{(135,1),(138,1),(229,1),(230,1),(234,1),(382,1),(408,1)}
       183:{2,5}:{(136,1),(140,1)}
       184:{1,3,5,7}:{(136,1),(137,1),(141,1),(152,1),(228,1),(232,1),(233,1),(313,1),(406,1)}
       185:{2,3,6}:{(137,1),(138,1),(153,1),(229,1),(233,1),(382,1),(407,1)}
       186:{3,5,6}:{(138,1),(139,1),(142,1),(234,1)}
       187:{2,3,6}:{(140,1),(154,1),(231,1),(235,1),(249,1),(304,1)}
       188:{2,4,7}:{(140,1),(141,1),(232,1),(235,1),(320,1)}
       189:{4,5,7}:{(142,1),(234,1),(384,1),(386,1)}
       190:{2,3,6}:{(143,1),(149,1),(236,1),(237,1),(250,1),(304,1)}
       191:{1,4,6}:{(143,1),(145,1),(150,1),(236,1),(239,1)}
       192:{2,4,7}:{(143,1),(144,1),(146,1),(237,1),(239,1),(320,1)}
       193:{1,2,5,6}:{(145,1),(151,1),(161,1),(223,1),(238,1),(240,1),(241,1),(247,1),(318,1),(377,1),(407,1)}
       194:{1,5,7}:{(145,1),(146,1),(239,1),(242,1)}
       195:{2,6,7}:{(146,1),(147,1),(153,1),(242,1),(407,1)}
       196:{1,3,5}:{(149,1),(150,1),(156,1),(236,1),(243,1)}
       197:{1,2,4,5}:{(150,1),(151,1),(157,1),(165,1),(227,1),(238,1),(243,1),(244,1),(245,1),(323,1),(327,1),(377,1)}
       198:{1,3,5}:{(151,1),(154,1),(169,1),(231,1),(245,1)}
       199:{1,2,5,7}:{(151,1),(152,1),(155,1),(170,1),(232,1),(246,1),(247,1),(406,1)}
       200:{1,6}:{(152,1),(153,1)}
       201:{1,3,7}:{(154,1),(155,1),(173,1),(235,1)}
       202:{2,4}:{(156,1),(243,1),(249,1)}
       203:{1,3}:{(157,1),(249,1)}
       204:{2,4,6}:{(158,1),(161,1),(165,1),(250,1),(251,1)}
       205:{1,4,7}:{(158,1),(159,1),(162,1),(251,1),(384,1)}
       206:{2,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(252,1),(253,1)}
       207:{3,5,7}:{(160,1),(168,1),(253,1),(254,1)}
       208:{2,3,5,6}:{(161,1),(169,1),(240,1),(250,1),(255,1),(256,1),(263,1),(319,1),(329,1),(336,1),(337,1),(377,1),(382,1),(385,1),(407,1)}
       209:{2,5,7}:{(161,1),(162,1),(251,1),(257,1),(320,1)}
       210:{1,3,6,7}:{(162,1),(163,1),(171,1),(242,1),(252,1),(257,1),(331,1)}
       211:{4,6,7}:{(164,1),(172,1),(254,1),(403,1),(412,1)}
       212:{3,5}:{(165,1),(250,1),(258,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(170,1),(251,1),(259,1),(260,1),(262,1),(332,1),(337,1),(384,1),(386,1)}
       214:{1,4,6}:{(166,1),(167,1),(171,1),(260,1),(261,1)}
       215:{2,5,6}:{(167,1),(168,1),(253,1),(261,1),(374,1)}
       216:{4,5,6}:{(168,1),(172,1),(254,1),(405,1),(412,1)}
       217:{2,4}:{(169,1),(245,1),(258,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(173,1),(246,1),(259,1),(262,1),(263,1),(337,1)}
       219:{2,6}:{(170,1),(171,1)}
       220:{1,4,6}:{(174,1),(176,1),(180,1),(264,1),(265,1),(393,1)}
       221:{2,4,7}:{(174,1),(175,1),(177,1),(265,1)}
       222:{3,4,6,7}:{(175,1),(178,1),(182,1),(266,1),(267,1),(271,1)}
       223:{2,5,6}:{(176,1),(183,1),(264,1),(269,1),(279,1),(280,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(194,1),(265,1),(269,1),(270,1),(281,1),(339,1),(341,1),(389,1)}
       225:{2,3,6,7}:{(177,1),(178,1),(185,1),(195,1),(266,1),(270,1)}
       226:{3,5,6,7}:{(178,1),(179,1),(186,1),(267,1),(271,1),(361,1),(399,1)}
       227:{2,4,5}:{(180,1),(183,1),(264,1),(272,1),(277,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(184,1),(265,1),(273,1),(274,1),(290,1),(341,1),(358,1)}
       229:{2,4,6}:{(181,1),(182,1),(185,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(267,1),(275,1),(276,1),(364,1)}
       231:{2,3,5}:{(183,1),(187,1),(198,1),(272,1),(277,1)}
       232:{2,5,7}:{(183,1),(184,1),(188,1),(279,1)}
       233:{1,3,6}:{(184,1),(185,1),(200,1),(274,1),(279,1),(346,1),(411,1)}
       234:{4,6}:{(186,1),(189,1)}
       235:{2,3,7}:{(187,1),(188,1),(201,1),(339,1)}
       236:{1,3,6}:{(190,1),(191,1),(196,1),(280,1),(281,1)}
       237:{2,3,7}:{(190,1),(192,1),(281,1),(294,1),(339,1)}
       238:{1,2,4,6}:{(191,1),(193,1),(197,1),(204,1),(264,1),(280,1),(282,1),(283,1),(284,1),(351,1)}
       239:{1,4,7}:{(191,1),(192,1),(194,1),(281,1)}
       240:{1,3,5,6}:{(193,1),(198,1),(208,1),(268,1),(282,1),(284,1),(285,1),(291,1),(349,1),(353,1),(358,1),(394,1),(397,1),(398,1),(411,1)}
       241:{1,2,5,7}:{(193,1),(194,1),(209,1),(269,1),(283,1),(285,1),(286,1),(350,1),(396,1)}
       242:{1,6,7}:{(194,1),(195,1),(200,1),(411,1)}
       243:{2,5}:{(196,1),(202,1),(280,1)}
       244:{1,3,5}:{(197,1),(203,1),(212,1),(272,1),(282,1),(288,1),(289,1)}
       245:{1,4}:{(198,1),(217,1),(277,1)}
       246:{1,3,5,7}:{(198,1),(199,1),(201,1),(218,1),(278,1),(290,1),(291,1),(358,1)}
       247:{1,2,6}:{(199,1),(200,1),(219,1),(279,1),(291,1),(411,1)}
       248:{1,2,4}:{(202,1),(287,1),(292,1),(357,1)}
       249:{2,3}:{(202,1),(203,1),(292,1)}
       250:{3,6}:{(204,1),(212,1),(294,1)}
       251:{2,4,7}:{(204,1),(205,1),(209,1),(294,1)}
       252:{1,4,6,7}:{(205,1),(206,1),(210,1),(214,1),(295,1),(296,1)}
       253:{2,5,7}:{(206,1),(207,1),(215,1),(296,1)}
       254:{4,5,7}:{(207,1),(211,1),(216,1)}
       255:{2,4,6}:{(208,1),(217,1),(284,1),(293,1),(297,1),(298,1),(365,1)}
       256:{2,3,5,7}:{(208,1),(209,1),(285,1),(294,1),(298,1),(299,1),(352,1),(359,1),(361,1),(363,1),(396,1)}
       257:{2,6,7}:{(209,1),(210,1),(219,1)}
       258:{3,4}:{(212,1),(217,1)}
       259:{3,5,7}:{(212,1),(213,1),(294,1),(300,1),(301,1),(364,1)}
       260:{2,4,6}:{(213,1),(214,1),(219,1),(301,1),(302,1),(365,1)}
       261:{1,5,6}:{(214,1),(215,1),(296,1),(302,1),(358,1)}
       262:{2,4,7}:{(217,1),(218,1),(290,1),(300,1),(303,1)}
       263:{2,3,6}:{(218,1),(219,1),(291,1),(301,1),(303,1)}
       264:{2,4,6}:{(220,1),(223,1),(227,1),(304,1),(305,1)}
       265:{1,4,7}:{(220,1),(221,1),(224,1),(305,1),(403,1)}
       266:{2,4,6,7}:{(221,1),(222,1),(225,1),(229,1),(306,1),(307,1)}
       267:{3,5,7}:{(222,1),(230,1),(307,1),(308,1)}
       268:{2,3,5,6}:{(223,1),(231,1),(240,1),(304,1),(309,1),(310,1),(317,1),(319,1),(366,1),(373,1),(374,1),(377,1),(401,1),(404,1),(407,1)}
       269:{2,5,7}:{(223,1),(224,1),(305,1),(311,1),(320,1)}
       270:{1,3,6,7}:{(224,1),(225,1),(233,1),(242,1),(306,1),(311,1),(368,1)}
       271:{4,6,7}:{(226,1),(234,1),(308,1),(384,1),(408,1)}
       272:{3,5}:{(227,1),(304,1),(312,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(232,1),(305,1),(313,1),(314,1),(316,1),(369,1),(374,1),(403,1),(405,1)}
       274:{1,4,6}:{(228,1),(229,1),(233,1),(314,1),(315,1)}
       275:{2,5,6}:{(229,1),(230,1),(307,1),(315,1),(337,1)}
       276:{4,5,6}:{(230,1),(234,1),(308,1),(386,1),(408,1)}
       277:{2,4}:{(231,1),(245,1),(312,1)}
       278:{2,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(313,1),(316,1),(317,1),(374,1)}
       279:{2,6}:{(232,1),(233,1)}
       280:{2,6}:{(236,1),(243,1),(320,1)}
       281:{1,3,7}:{(236,1),(237,1),(239,1),(320,1)}
       282:{1,3,6}:{(238,1),(244,1),(250,1),(304,1),(319,1),(322,1)}
       283:{1,2,4,7}:{(238,1),(239,1),(241,1),(251,1),(305,1),(320,1),(322,1),(324,1),(378,1)}
       284:{1,4,6}:{(240,1),(245,1),(255,1),(309,1),(323,1),(324,1)}
       285:{1,3,5,7}:{(240,1),(241,1),(256,1),(310,1),(322,1),(324,1),(325,1),(376,1),(381,1),(406,1)}
       286:{1,2,6,7}:{(241,1),(242,1),(247,1),(257,1),(311,1),(325,1),(407,1)}
       287:{1,2,5}:{(243,1),(248,1),(318,1),(326,1)}
       288:{2,3,5}:{(243,1),(244,1),(249,1),(319,1),(326,1),(327,1),(377,1)}
       289:{1,3,4}:{(244,1),(245,1),(258,1),(312,1),(327,1)}
       290:{1,4,7}:{(245,1),(246,1),(262,1),(316,1),(328,1)}
       291:{1,3,6}:{(246,1),(247,1),(263,1),(317,1),(328,1)}
       292:{1,3}:{(248,1),(249,1)}
       293:{3,4,6}:{(250,1),(255,1),(258,1),(329,1),(330,1),(382,1)}
       294:{3,7}:{(250,1),(251,1)}
       295:{2,4,6,7}:{(251,1),(252,1),(257,1),(260,1),(331,1),(332,1),(384,1)}
       296:{1,5,7}:{(252,1),(253,1),(261,1),(332,1)}
       297:{2,4,5}:{(255,1),(323,1),(329,1),(337,1),(377,1),(386,1)}
       298:{2,4,7}:{(255,1),(256,1),(324,1),(330,1),(384,1)}
       299:{2,3,6,7}:{(256,1),(257,1),(263,1),(325,1),(331,1),(334,1),(382,1),(407,1)}
       300:{3,4,7}:{(258,1),(259,1),(262,1),(335,1),(384,1)}
       301:{3,6}:{(259,1),(260,1)}
       302:{2,5,6}:{(260,1),(261,1),(332,1),(336,1),(337,1)}
       303:{2,4,6}:{(262,1),(263,1),(328,1),(335,1),(337,1)}
       304:{3,6}:{(264,1),(272,1),(339,1)}
       305:{2,4,7}:{(264,1),(265,1),(269,1),(339,1)}
       306:{1,4,6,7}:{(265,1),(266,1),(270,1),(274,1),(340,1),(341,1)}
       307:{2,5,7}:{(266,1),(267,1),(275,1),(341,1)}
       308:{4,5,7}:{(267,1),(271,1),(276,1)}
       309:{2,4,6}:{(268,1),(277,1),(284,1),(338,1),(342,1),(343,1),(393,1)}
       310:{2,3,5,7}:{(268,1),(269,1),(285,1),(339,1),(343,1),(344,1),(352,1),(387,1),(389,1),(391,1),(396,1)}
       311:{2,6,7}:{(269,1),(270,1),(279,1)}
       312:{3,4}:{(272,1),(277,1)}
       313:{3,5,7}:{(272,1),(273,1),(339,1),(345,1),(346,1),(392,1)}
       314:{2,4,6}:{(273,1),(274,1),(279,1),(346,1),(347,1),(393,1)}
       315:{1,5,6}:{(274,1),(275,1),(341,1),(347,1),(358,1)}
       316:{2,4,7}:{(277,1),(278,1),(290,1),(345,1),(348,1)}
       317:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       318:{1,2,6}:{(280,1),(287,1),(349,1),(350,1)}
       319:{2,3,6}:{(280,1),(282,1),(288,1),(349,1),(351,1),(352,1)}
       320:{2,7}:{(280,1),(281,1)}
       321:{1,3,4,6}:{(282,1),(284,1),(289,1),(293,1),(338,1),(351,1),(353,1),(354,1),(397,1)}
       322:{1,3,7}:{(282,1),(283,1),(294,1),(339,1),(352,1)}
       323:{1,4,5}:{(284,1),(297,1),(342,1),(353,1),(358,1),(394,1)}
       324:{1,4,7}:{(284,1),(285,1),(298,1),(343,1)}
       325:{1,3,6,7}:{(285,1),(286,1),(291,1),(299,1),(344,1),(356,1),(397,1),(411,1)}
       326:{1,3,5}:{(287,1),(288,1),(292,1),(349,1),(357,1),(394,1)}
       327:{2,4}:{(288,1),(289,1),(357,1)}
       328:{1,4,6}:{(290,1),(291,1),(303,1),(348,1),(358,1)}
       329:{3,5}:{(293,1),(297,1)}
       330:{3,4,7}:{(293,1),(294,1),(298,1),(359,1)}
       331:{3,6,7}:{(294,1),(295,1),(301,1),(361,1)}
       332:{2,5,7}:{(295,1),(296,1),(302,1),(361,1)}
       333:{2,4,5,7}:{(297,1),(298,1),(355,1),(359,1),(362,1),(363,1),(396,1),(400,1)}
       334:{2,4,6,7}:{(298,1),(299,1),(303,1),(356,1),(360,1),(362,1),(363,1)}
       335:{3,4,6}:{(300,1),(301,1),(303,1),(364,1),(365,1)}
       336:{3,5,6}:{(301,1),(302,1),(361,1),(364,1),(365,1)}
       337:{2,5}:{(303,1),(358,1),(364,1)}
       338:{3,4,6}:{(304,1),(309,1),(312,1),(366,1),(367,1),(401,1)}
       339:{3,7}:{(304,1),(305,1)}
       340:{2,4,6,7}:{(305,1),(306,1),(311,1),(314,1),(368,1),(369,1),(403,1)}
       341:{1,5,7}:{(306,1),(307,1),(315,1),(369,1)}
       342:{2,4,5}:{(309,1),(323,1),(366,1),(374,1),(377,1),(405,1)}
       343:{2,4,7}:{(309,1),(310,1),(324,1),(367,1),(403,1)}
       344:{2,3,6,7}:{(310,1),(311,1),(317,1),(325,1),(368,1),(371,1),(401,1),(407,1)}
       345:{3,4,7}:{(312,1),(313,1),(316,1),(372,1),(403,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{2,5,6}:{(314,1),(315,1),(369,1),(373,1),(374,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(372,1),(374,1)}
       349:{1,3,6}:{(318,1),(319,1),(326,1),(375,1),(376,1)}
       350:{1,2,7}:{(318,1),(320,1),(376,1)}
       351:{2,4,6}:{(319,1),(321,1),(327,1),(375,1),(377,1),(378,1),(407,1)}
       352:{2,3,7}:{(319,1),(320,1),(322,1),(376,1),(378,1)}
       353:{1,3,5}:{(321,1),(323,1),(329,1),(366,1),(377,1)}
       354:{1,3,4,7}:{(321,1),(322,1),(324,1),(330,1),(367,1),(378,1),(379,1)}
       355:{1,4,5,7}:{(323,1),(324,1),(333,1),(370,1),(379,1),(380,1),(381,1),(406,1)}
       356:{1,4,6,7}:{(324,1),(325,1),(328,1),(334,1),(371,1),(380,1),(381,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(333,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(334,1),(335,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(336,1),(384,1)}
       362:{2,4,6}:{(333,1),(380,1),(382,1),(385,1),(407,1),(408,1)}
       363:{2,5,7}:{(334,1),(337,1),(381,1),(383,1),(385,1)}
       364:{3,5}:{(335,1),(337,1),(386,1)}
       365:{4,6}:{(336,1),(384,1),(386,1)}
       366:{3,5}:{(338,1),(342,1)}
       367:{3,4,7}:{(338,1),(339,1),(343,1),(387,1)}
       368:{3,6,7}:{(339,1),(340,1),(346,1),(389,1)}
       369:{2,5,7}:{(340,1),(341,1),(347,1),(389,1)}
       370:{2,4,5,7}:{(342,1),(343,1),(355,1),(387,1),(390,1),(391,1),(396,1),(410,1)}
       371:{2,4,6,7}:{(343,1),(344,1),(348,1),(356,1),(388,1),(390,1),(391,1)}
       372:{3,4,6}:{(345,1),(346,1),(348,1),(392,1),(393,1)}
       373:{3,5,6}:{(346,1),(347,1),(389,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(392,1)}
       375:{1,4,6}:{(349,1),(351,1),(357,1),(394,1),(395,1),(411,1)}
       376:{1,3,7}:{(349,1),(350,1),(352,1),(395,1)}
       377:{2,5}:{(351,1),(353,1),(394,1)}
       378:{2,4,7}:{(351,1),(352,1),(354,1),(395,1),(396,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(355,1),(359,1),(387,1),(396,1),(397,1)}
       380:{1,4,6}:{(355,1),(362,1),(390,1),(397,1),(398,1),(411,1)}
       381:{1,5,7}:{(356,1),(358,1),(363,1),(391,1),(398,1)}
       382:{3,6}:{(359,1),(362,1)}
       383:{3,5,7}:{(360,1),(363,1),(364,1),(399,1),(400,1)}
       384:{4,7}:{(361,1),(365,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(399,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(370,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(371,1),(372,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(373,1),(403,1)}
       390:{2,4,6}:{(370,1),(380,1),(401,1),(404,1),(407,1),(412,1)}
       391:{2,5,7}:{(371,1),(374,1),(381,1),(402,1),(404,1)}
       392:{3,5}:{(372,1),(374,1),(405,1)}
       393:{4,6}:{(373,1),(403,1),(405,1)}
       394:{1,5}:{(375,1),(377,1)}
       395:{1,4,7}:{(375,1),(376,1),(378,1),(406,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(380,1),(382,1),(401,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{3,5,6}:{(382,1),(383,1),(385,1),(408,1)}
       400:{4,5,7}:{(383,1),(384,1),(386,1),(408,1)}
       401:{3,6}:{(387,1),(390,1)}
       402:{3,5,7}:{(388,1),(391,1),(392,1),(409,1),(410,1)}
       403:{4,7}:{(389,1),(393,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(409,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{3,5,6}:{(401,1),(402,1),(404,1),(412,1)}
       410:{4,5,7}:{(402,1),(403,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 596 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 597 :   0:{1,2,6,7}:{(2,1),(3,1),(115,1),(197,1),(200,1),(215,1),(270,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(65,1),(115,1),(270,1),(273,1),(336,1)}
         2:{1,3,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(80,1),(156,1),(243,1)}
         3:{1,2,5,7}:{(0,1),(8,1),(9,1),(10,1),(81,1),(88,1),(238,1),(256,1),(307,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(14,1),(41,1),(311,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(12,1),(13,1),(14,1),(37,1),(42,1),(81,1),(307,1),(363,1),(367,1)}
         6:{2,3,6,7}:{(2,1),(15,1),(16,1),(107,1),(115,1),(215,1),(218,1),(291,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(19,1),(52,1),(284,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(5,1),(16,1),(17,1),(18,1),(19,1),(21,1),(59,1),(116,1)}
         9:{1,2,5,6}:{(3,1),(18,1),(20,1),(115,1),(118,1),(123,1),(199,1),(200,1),(204,1),(217,1),(272,1)}
        10:{1,2,4,7}:{(3,1),(19,1),(20,1),(21,1),(56,1),(278,1),(294,1),(339,1),(346,1)}
        11:{3,4,6,7}:{(4,1),(22,1),(26,1),(61,1),(65,1),(336,1),(338,1),(385,1)}
        12:{2,5,7}:{(4,1),(17,1),(22,1),(23,1),(344,1)}
        13:{2,3,5,6}:{(5,1),(18,1),(23,1),(25,1),(58,1),(65,1),(67,1),(115,1),(118,1),(272,1),(273,1),(276,1),(337,1),(342,1),(344,1)}
        14:{2,4,7}:{(5,1),(19,1),(25,1),(26,1),(385,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(30,1),(73,1),(260,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(28,1),(29,1),(30,1),(37,1),(74,1),(81,1),(256,1),(326,1),(330,1)}
        17:{1,5,7}:{(7,1),(12,1),(28,1),(31,1),(321,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(13,1),(29,1),(31,1),(33,1),(36,1),(80,1),(82,1),(87,1),(156,1),(159,1),(243,1),(247,1),(321,1)}
        19:{1,4,7}:{(8,1),(14,1),(30,1),(33,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(35,1),(36,1),(83,1),(241,1),(258,1),(309,1),(318,1)}
        21:{1,3,7}:{(10,1),(36,1),(37,1),(330,1),(367,1)}
        22:{3,5,7}:{(11,1),(12,1),(38,1),(39,1),(366,1)}
        23:{2,5,6}:{(12,1),(31,1),(38,1),(41,1)}
        24:{2,4,5,7}:{(12,1),(14,1),(32,1),(39,1),(41,1),(42,1),(43,1),(81,1)}
        25:{2,4,6}:{(13,1),(14,1),(33,1),(43,1),(44,1),(313,1),(365,1)}
        26:{3,4,7}:{(14,1),(42,1),(44,1),(367,1)}
        27:{3,4,6,7}:{(15,1),(46,1),(50,1),(103,1),(107,1),(291,1),(293,1),(356,1)}
        28:{2,5,7}:{(15,1),(17,1),(46,1),(47,1),(299,1)}
        29:{2,3,5,6}:{(16,1),(18,1),(47,1),(49,1),(58,1),(107,1),(109,1),(115,1),(118,1),(217,1),(218,1),(221,1),(292,1),(297,1),(299,1)}
        30:{2,4,7}:{(16,1),(19,1),(49,1),(50,1),(356,1)}
        31:{1,5,6}:{(17,1),(23,1),(47,1),(52,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(24,1),(48,1),(52,1),(53,1),(54,1),(116,1)}
        33:{1,4,6}:{(18,1),(19,1),(25,1),(49,1),(54,1),(287,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(26,1),(50,1),(53,1),(55,1),(56,1)}
        35:{1,2,4,5}:{(20,1),(54,1),(57,1),(118,1),(121,1),(203,1),(204,1),(220,1),(275,1),(285,1),(287,1),(288,1)}
        36:{1,3,6}:{(20,1),(21,1),(57,1),(58,1),(297,1),(342,1)}
        37:{2,3,7}:{(21,1),(56,1),(58,1),(59,1),(346,1)}
        38:{3,5,6}:{(22,1),(23,1),(61,1),(65,1)}
        39:{4,5,7}:{(22,1),(61,1),(385,1),(387,1)}
        40:{2,5,6,7}:{(23,1),(51,1),(60,1),(63,1),(208,1),(335,1),(390,1)}
        41:{2,4,6}:{(23,1),(24,1),(52,1),(61,1),(65,1),(115,1)}
        42:{3,5,7}:{(24,1),(26,1),(65,1),(67,1)}
        43:{2,4,5}:{(25,1),(54,1),(67,1),(118,1),(344,1),(387,1)}
        44:{3,4,6}:{(25,1),(26,1),(65,1),(67,1),(342,1),(345,1)}
        45:{2,3,4,7}:{(26,1),(56,1),(66,1),(68,1),(69,1),(194,1),(213,1),(274,1),(277,1),(388,1),(393,1)}
        46:{3,5,7}:{(27,1),(28,1),(70,1),(71,1),(329,1)}
        47:{2,5,6}:{(28,1),(31,1),(70,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(30,1),(32,1),(71,1),(73,1),(74,1),(75,1),(81,1)}
        49:{2,4,6}:{(29,1),(30,1),(33,1),(75,1),(76,1),(262,1),(328,1)}
        50:{3,4,7}:{(30,1),(74,1),(76,1),(330,1)}
        51:{1,5,6,7}:{(31,1),(40,1),(72,1),(78,1),(250,1),(301,1),(376,1)}
        52:{1,4,6}:{(31,1),(32,1),(41,1),(73,1),(80,1),(156,1)}
        53:{1,3,5,7}:{(32,1),(34,1),(42,1),(74,1),(80,1),(81,1),(82,1)}
        54:{1,4,5}:{(33,1),(43,1),(75,1),(82,1),(159,1),(321,1)}
        55:{1,3,4,6}:{(33,1),(34,1),(36,1),(44,1),(76,1),(80,1),(82,1),(83,1),(85,1)}
        56:{2,4,7}:{(34,1),(37,1),(81,1),(83,1),(84,1)}
        57:{1,3,5}:{(35,1),(36,1),(85,1),(86,1),(261,1),(312,1),(325,1)}
        58:{2,3,6}:{(36,1),(37,1),(83,1),(86,1),(87,1),(318,1)}
        59:{1,3,7}:{(37,1),(84,1),(87,1),(88,1)}
        60:{3,5,6,7}:{(38,1),(40,1),(89,1),(94,1),(165,1),(363,1),(401,1)}
        61:{4,6}:{(38,1),(39,1)}
        62:{3,4,5,7}:{(39,1),(42,1),(91,1),(92,1),(98,1),(165,1),(170,1),(305,1),(366,1),(400,1),(402,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(78,1),(89,1),(93,1),(94,1),(153,1),(403,1)}
        64:{2,4,5,6}:{(41,1),(43,1),(79,1),(90,1),(93,1),(95,1),(155,1),(167,1),(173,1),(303,1),(309,1),(365,1),(371,1),(403,1)}
        65:{3,6}:{(41,1),(42,1)}
        66:{2,3,5,7}:{(42,1),(45,1),(81,1),(92,1),(96,1),(97,1),(99,1),(402,1),(405,1)}
        67:{3,5}:{(43,1),(44,1)}
        68:{2,3,4,6}:{(44,1),(45,1),(83,1),(96,1),(99,1),(100,1),(162,1),(173,1),(236,1),(240,1),(311,1),(313,1),(370,1),(378,1)}
        69:{1,3,4,7}:{(45,1),(84,1),(97,1),(100,1),(101,1),(161,1),(244,1),(254,1),(255,1),(314,1),(330,1),(404,1)}
        70:{3,5,6}:{(46,1),(47,1),(103,1),(107,1)}
        71:{4,5,7}:{(46,1),(103,1),(356,1),(358,1)}
        72:{2,5,6,7}:{(47,1),(51,1),(102,1),(105,1),(263,1),(290,1),(361,1)}
        73:{2,4,6}:{(47,1),(48,1),(52,1),(103,1),(107,1),(115,1)}
        74:{3,5,7}:{(48,1),(50,1),(107,1),(109,1)}
        75:{2,4,5}:{(49,1),(54,1),(109,1),(118,1),(299,1),(358,1)}
        76:{3,4,6}:{(49,1),(50,1),(107,1),(109,1),(297,1),(300,1)}
        77:{2,3,4,7}:{(50,1),(56,1),(108,1),(110,1),(111,1),(138,1),(219,1),(268,1),(277,1),(359,1),(393,1)}
        78:{1,4,6,7}:{(51,1),(52,1),(63,1),(105,1),(112,1),(113,1),(197,1),(395,1)}
        79:{1,4,5,6}:{(52,1),(54,1),(64,1),(106,1),(112,1),(114,1),(199,1),(210,1),(216,1),(265,1),(271,1),(353,1),(395,1)}
        80:{1,3,6}:{(52,1),(53,1),(65,1),(107,1),(115,1)}
        81:{2,5,7}:{(53,1),(56,1),(115,1),(116,1),(118,1)}
        82:{1,3,5}:{(54,1),(55,1),(67,1),(109,1),(118,1)}
        83:{2,4,6}:{(55,1),(56,1),(58,1),(115,1),(118,1),(119,1),(121,1)}
        84:{1,4,7}:{(56,1),(59,1),(116,1),(119,1)}
        85:{1,3,4}:{(57,1),(121,1),(287,1),(300,1),(345,1)}
        86:{2,3,5}:{(57,1),(58,1),(118,1),(121,1),(122,1),(285,1),(289,1)}
        87:{1,3,6}:{(58,1),(59,1),(119,1),(122,1),(123,1)}
        88:{1,2,7}:{(59,1),(123,1),(346,1)}
        89:{4,6,7}:{(60,1),(61,1),(124,1),(385,1),(408,1)}
        90:{4,5,6}:{(61,1),(124,1),(126,1),(387,1),(408,1)}
        91:{3,4,6}:{(61,1),(62,1),(65,1),(126,1),(127,1),(408,1),(409,1)}
        92:{2,4,5,7}:{(62,1),(66,1),(127,1),(128,1),(135,1),(208,1),(213,1),(274,1),(344,1)}
        93:{2,4,5,7}:{(63,1),(64,1),(112,1),(124,1),(129,1),(196,1),(208,1),(213,1),(335,1),(339,1),(385,1)}
        94:{3,6,7}:{(63,1),(65,1),(129,1),(409,1)}
        95:{3,5,6}:{(64,1),(65,1),(67,1),(129,1),(131,1),(342,1),(391,1),(409,1)}
        96:{2,3,6}:{(65,1),(66,1),(115,1),(127,1),(133,1),(409,1),(411,1)}
        97:{1,3,5,7}:{(66,1),(69,1),(116,1),(128,1),(133,1),(134,1),(136,1),(212,1),(410,1)}
        98:{3,4,5}:{(67,1),(131,1),(135,1),(345,1),(387,1),(391,1)}
        99:{2,3,5}:{(67,1),(68,1),(118,1),(135,1),(136,1),(344,1),(391,1),(397,1)}
       100:{1,3,4,6}:{(68,1),(69,1),(119,1),(133,1),(136,1),(137,1),(205,1),(206,1),(216,1),(281,1),(284,1),(287,1),(293,1),(297,1),(300,1),(396,1)}
       101:{2,4,7}:{(69,1),(134,1),(137,1),(138,1),(346,1)}
       102:{3,5,6,7}:{(70,1),(72,1),(139,1),(144,1),(222,1),(326,1),(382,1)}
       103:{4,6}:{(70,1),(71,1)}
       104:{3,4,5,7}:{(71,1),(74,1),(141,1),(142,1),(148,1),(222,1),(227,1),(254,1),(329,1),(381,1),(383,1)}
       105:{2,4,6,7}:{(72,1),(73,1),(78,1),(139,1),(143,1),(144,1),(153,1),(384,1)}
       106:{2,4,5,6}:{(73,1),(75,1),(79,1),(140,1),(143,1),(145,1),(155,1),(224,1),(230,1),(252,1),(258,1),(328,1),(334,1),(384,1)}
       107:{3,6}:{(73,1),(74,1)}
       108:{2,3,5,7}:{(74,1),(77,1),(81,1),(142,1),(146,1),(147,1),(149,1),(383,1),(405,1)}
       109:{3,5}:{(75,1),(76,1)}
       110:{2,3,4,6}:{(76,1),(77,1),(83,1),(146,1),(149,1),(150,1),(162,1),(179,1),(230,1),(240,1),(260,1),(262,1),(333,1),(378,1)}
       111:{1,3,4,7}:{(77,1),(84,1),(147,1),(150,1),(151,1),(161,1),(244,1),(305,1),(306,1),(314,1),(367,1),(404,1)}
       112:{1,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(152,1),(238,1),(250,1),(255,1),(301,1),(306,1)}
       113:{1,3,6,7}:{(78,1),(80,1),(94,1),(144,1),(152,1),(153,1),(406,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(82,1),(95,1),(145,1),(152,1),(154,1),(155,1),(379,1),(406,1)}
       115:{2,6}:{(80,1),(81,1),(156,1)}
       116:{1,5,7}:{(81,1),(84,1),(156,1),(159,1)}
       117:{1,3,4,5}:{(82,1),(85,1),(98,1),(148,1),(154,1),(158,1),(177,1),(234,1),(245,1),(261,1),(312,1),(324,1),(379,1)}
       118:{2,5}:{(82,1),(83,1),(159,1)}
       119:{1,4,6}:{(83,1),(84,1),(87,1),(156,1),(159,1),(163,1)}
       120:{1,2,4,7}:{(84,1),(88,1),(101,1),(151,1),(157,1),(160,1),(161,1),(244,1),(372,1),(404,1)}
       121:{2,4}:{(85,1),(86,1),(163,1)}
       122:{1,3,5}:{(86,1),(87,1),(159,1),(163,1),(164,1),(249,1)}
       123:{1,2,6}:{(87,1),(88,1),(164,1),(318,1)}
       124:{4,5,7}:{(89,1),(90,1),(165,1)}
       125:{3,4,6,7}:{(89,1),(91,1),(94,1),(165,1),(166,1),(170,1)}
       126:{3,5,6}:{(90,1),(91,1),(165,1),(167,1),(366,1)}
       127:{2,4,6}:{(91,1),(92,1),(96,1),(167,1),(168,1)}
       128:{1,4,5,7}:{(92,1),(97,1),(168,1),(169,1),(177,1),(244,1),(250,1),(255,1),(321,1)}
       129:{3,5,7}:{(93,1),(94,1),(95,1),(170,1),(367,1)}
       130:{2,3,6,7}:{(94,1),(96,1),(153,1),(166,1),(171,1),(172,1)}
       131:{3,4,6}:{(95,1),(98,1),(170,1),(173,1),(365,1)}
       132:{2,3,5,6}:{(95,1),(96,1),(99,1),(155,1),(167,1),(171,1),(173,1),(174,1),(240,1)}
       133:{1,3,6}:{(96,1),(97,1),(156,1),(168,1),(175,1),(253,1),(412,1)}
       134:{2,5,7}:{(97,1),(101,1),(175,1),(178,1)}
       135:{2,4,5}:{(98,1),(99,1),(173,1),(177,1),(313,1)}
       136:{1,3,5}:{(99,1),(100,1),(159,1),(177,1),(178,1),(261,1),(321,1),(329,1),(407,1)}
       137:{2,4,6}:{(100,1),(101,1),(175,1),(178,1),(179,1),(248,1),(262,1),(318,1)}
       138:{2,3,7}:{(101,1),(161,1),(179,1),(330,1)}
       139:{4,6,7}:{(102,1),(103,1),(180,1),(356,1),(398,1)}
       140:{4,5,6}:{(103,1),(180,1),(182,1),(358,1),(398,1)}
       141:{3,4,6}:{(103,1),(104,1),(107,1),(182,1),(183,1),(398,1),(399,1)}
       142:{2,4,5,7}:{(104,1),(108,1),(183,1),(184,1),(191,1),(219,1),(263,1),(268,1),(299,1)}
       143:{2,4,5,7}:{(105,1),(106,1),(112,1),(180,1),(185,1),(196,1),(263,1),(268,1),(290,1),(294,1),(356,1)}
       144:{3,6,7}:{(105,1),(107,1),(185,1),(399,1)}
       145:{3,5,6}:{(106,1),(107,1),(109,1),(185,1),(187,1),(297,1),(362,1),(399,1)}
       146:{2,3,6}:{(107,1),(108,1),(115,1),(183,1),(189,1),(399,1),(411,1)}
       147:{1,3,5,7}:{(108,1),(111,1),(116,1),(184,1),(189,1),(190,1),(192,1),(267,1),(410,1)}
       148:{3,4,5}:{(109,1),(187,1),(191,1),(300,1),(358,1),(362,1)}
       149:{2,3,5}:{(109,1),(110,1),(118,1),(191,1),(192,1),(299,1),(362,1),(397,1)}
       150:{1,3,4,6}:{(110,1),(111,1),(119,1),(189,1),(192,1),(193,1),(205,1),(206,1),(271,1),(281,1),(284,1),(287,1),(338,1),(342,1),(345,1),(396,1)}
       151:{2,4,7}:{(111,1),(190,1),(193,1),(194,1),(346,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(114,1),(129,1),(185,1),(195,1),(196,1)}
       153:{2,6,7}:{(113,1),(115,1),(196,1),(197,1),(411,1)}
       154:{1,3,4,6}:{(114,1),(117,1),(131,1),(187,1),(195,1),(198,1),(216,1),(271,1),(281,1),(297,1),(342,1)}
       155:{2,5,6}:{(114,1),(115,1),(118,1),(196,1),(198,1),(199,1),(397,1),(411,1)}
       156:{1,6}:{(115,1),(116,1)}
       157:{1,2,5,7}:{(116,1),(120,1),(134,1),(190,1),(200,1),(201,1),(204,1),(410,1)}
       158:{2,4,5}:{(117,1),(118,1),(121,1),(198,1),(202,1),(203,1),(285,1),(355,1),(397,1)}
       159:{1,5}:{(118,1),(119,1)}
       160:{1,2,4,6}:{(119,1),(120,1),(123,1),(137,1),(193,1),(200,1),(204,1),(205,1),(207,1),(284,1),(287,1),(288,1),(350,1),(396,1)}
       161:{1,3,7}:{(120,1),(138,1),(194,1),(205,1)}
       162:{2,3,4}:{(121,1),(202,1),(206,1),(289,1),(300,1),(345,1),(355,1)}
       163:{1,4}:{(121,1),(122,1)}
       164:{1,2,5}:{(122,1),(123,1),(207,1),(285,1)}
       165:{3,5,7}:{(124,1),(125,1),(126,1),(208,1)}
       166:{2,4,6,7}:{(125,1),(127,1),(130,1),(208,1),(209,1),(213,1)}
       167:{2,5,6}:{(126,1),(127,1),(208,1),(210,1),(344,1)}
       168:{1,4,6}:{(127,1),(128,1),(133,1),(210,1),(211,1)}
       169:{2,4,5,7}:{(128,1),(134,1),(211,1),(212,1),(219,1),(220,1),(290,1),(294,1),(299,1),(356,1),(358,1)}
       170:{3,4,7}:{(129,1),(131,1),(213,1),(385,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(132,1),(196,1),(208,1),(213,1),(214,1),(277,1)}
       172:{1,3,6,7}:{(130,1),(133,1),(197,1),(209,1),(214,1),(215,1),(291,1)}
       173:{2,4,6}:{(131,1),(132,1),(135,1),(213,1),(216,1)}
       174:{1,3,5,6}:{(132,1),(133,1),(136,1),(199,1),(210,1),(214,1),(216,1),(217,1),(281,1),(292,1),(297,1)}
       175:{2,6}:{(133,1),(134,1)}
       176:{2,3,5,7}:{(134,1),(138,1),(201,1),(212,1),(218,1),(219,1),(221,1),(299,1)}
       177:{1,4,5}:{(135,1),(136,1),(216,1),(220,1),(287,1),(358,1)}
       178:{2,5}:{(136,1),(137,1)}
       179:{2,3,6}:{(137,1),(138,1),(205,1),(221,1),(289,1),(297,1)}
       180:{4,5,7}:{(139,1),(140,1),(222,1)}
       181:{3,4,6,7}:{(139,1),(141,1),(144,1),(222,1),(223,1),(227,1)}
       182:{3,5,6}:{(140,1),(141,1),(222,1),(224,1),(329,1)}
       183:{2,4,6}:{(141,1),(142,1),(146,1),(224,1),(225,1)}
       184:{1,4,5,7}:{(142,1),(147,1),(225,1),(226,1),(234,1),(244,1),(301,1),(306,1),(321,1)}
       185:{3,5,7}:{(143,1),(144,1),(145,1),(227,1),(330,1)}
       186:{2,3,6,7}:{(144,1),(146,1),(153,1),(223,1),(228,1),(229,1)}
       187:{3,4,6}:{(145,1),(148,1),(227,1),(230,1),(328,1)}
       188:{2,3,5,6}:{(145,1),(146,1),(149,1),(155,1),(224,1),(228,1),(230,1),(231,1),(240,1)}
       189:{1,3,6}:{(146,1),(147,1),(156,1),(225,1),(232,1),(304,1),(412,1)}
       190:{2,5,7}:{(147,1),(151,1),(232,1),(235,1)}
       191:{2,4,5}:{(148,1),(149,1),(230,1),(234,1),(262,1)}
       192:{1,3,5}:{(149,1),(150,1),(159,1),(234,1),(235,1),(312,1),(321,1),(366,1),(407,1)}
       193:{2,4,6}:{(150,1),(151,1),(232,1),(235,1),(236,1),(248,1),(313,1),(318,1)}
       194:{2,3,7}:{(151,1),(161,1),(236,1),(367,1)}
       195:{1,3,4,7}:{(152,1),(154,1),(170,1),(227,1),(237,1),(255,1),(306,1),(314,1),(330,1),(367,1)}
       196:{2,5,7}:{(152,1),(153,1),(155,1),(237,1),(238,1)}
       197:{1,6,7}:{(153,1),(156,1),(238,1),(412,1)}
       198:{2,4,6}:{(154,1),(155,1),(158,1),(237,1),(240,1),(241,1),(318,1)}
       199:{1,5,6}:{(155,1),(156,1),(159,1),(238,1),(241,1),(407,1),(412,1)}
       200:{1,2,6}:{(156,1),(157,1),(175,1),(232,1),(243,1),(412,1)}
       201:{1,3,5,7}:{(157,1),(161,1),(176,1),(233,1),(243,1),(244,1),(247,1),(321,1)}
       202:{2,3,5}:{(158,1),(162,1),(240,1),(245,1),(261,1),(312,1)}
       203:{1,4,5}:{(158,1),(159,1),(163,1),(241,1),(245,1),(380,1),(407,1)}
       204:{1,2,5}:{(159,1),(160,1),(178,1),(235,1),(247,1),(321,1),(407,1)}
       205:{1,3,6}:{(160,1),(161,1),(179,1),(236,1),(247,1),(249,1),(325,1)}
       206:{1,3,4}:{(162,1),(163,1),(245,1),(248,1),(249,1),(325,1),(380,1)}
       207:{1,2,4}:{(163,1),(164,1),(248,1),(249,1)}
       208:{2,5,7}:{(165,1),(166,1),(167,1),(250,1)}
       209:{1,4,6,7}:{(166,1),(168,1),(172,1),(250,1),(251,1),(255,1)}
       210:{1,5,6}:{(167,1),(168,1),(250,1),(252,1),(321,1)}
       211:{2,4,6}:{(168,1),(169,1),(175,1),(252,1),(253,1),(328,1)}
       212:{3,5,7}:{(169,1),(253,1),(254,1),(261,1),(329,1),(330,1)}
       213:{2,4,7}:{(170,1),(171,1),(173,1),(255,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(174,1),(238,1),(250,1),(255,1),(256,1),(314,1),(326,1),(330,1)}
       215:{2,6,7}:{(172,1),(175,1),(256,1)}
       216:{1,4,6}:{(173,1),(174,1),(177,1),(255,1),(258,1),(328,1)}
       217:{2,5,6}:{(174,1),(175,1),(178,1),(256,1),(258,1),(318,1)}
       218:{2,3,6}:{(175,1),(176,1),(243,1),(253,1),(260,1)}
       219:{2,4,7}:{(176,1),(244,1),(254,1),(260,1),(262,1)}
       220:{2,4,5}:{(177,1),(178,1),(258,1),(261,1),(262,1)}
       221:{2,3,5}:{(178,1),(179,1),(247,1),(261,1),(262,1)}
       222:{3,5,7}:{(180,1),(181,1),(182,1),(263,1)}
       223:{2,4,6,7}:{(181,1),(183,1),(186,1),(263,1),(264,1),(268,1)}
       224:{2,5,6}:{(182,1),(183,1),(263,1),(265,1),(299,1)}
       225:{1,4,6}:{(183,1),(184,1),(189,1),(265,1),(266,1)}
       226:{2,4,5,7}:{(184,1),(190,1),(266,1),(267,1),(274,1),(275,1),(335,1),(339,1),(344,1),(385,1),(387,1)}
       227:{3,4,7}:{(185,1),(187,1),(268,1),(356,1)}
       228:{2,3,5,7}:{(185,1),(186,1),(188,1),(196,1),(263,1),(268,1),(269,1),(277,1)}
       229:{1,3,6,7}:{(186,1),(189,1),(197,1),(264,1),(269,1),(270,1),(336,1)}
       230:{2,4,6}:{(187,1),(188,1),(191,1),(268,1),(271,1)}
       231:{1,3,5,6}:{(188,1),(189,1),(192,1),(199,1),(265,1),(269,1),(271,1),(272,1),(281,1),(337,1),(342,1)}
       232:{2,6}:{(189,1),(190,1)}
       233:{2,3,5,7}:{(190,1),(194,1),(201,1),(267,1),(273,1),(274,1),(276,1),(344,1)}
       234:{1,4,5}:{(191,1),(192,1),(271,1),(275,1),(287,1),(387,1)}
       235:{2,5}:{(192,1),(193,1)}
       236:{2,3,6}:{(193,1),(194,1),(205,1),(276,1),(289,1),(342,1)}
       237:{2,4,7}:{(195,1),(196,1),(198,1),(277,1),(278,1),(346,1)}
       238:{1,5,7}:{(196,1),(197,1),(199,1),(278,1)}
       239:{1,2,6,7}:{(197,1),(200,1),(215,1),(270,1),(279,1),(280,1),(411,1)}
       240:{2,3,6}:{(198,1),(202,1),(277,1),(281,1),(297,1),(342,1)}
       241:{1,4,6}:{(198,1),(199,1),(203,1),(278,1),(281,1)}
       242:{1,2,5,6}:{(199,1),(200,1),(204,1),(217,1),(272,1),(279,1),(282,1),(283,1),(350,1),(397,1),(411,1)}
       243:{1,3,6}:{(200,1),(201,1),(218,1),(273,1),(284,1)}
       244:{1,4,7}:{(201,1),(219,1),(274,1),(284,1),(287,1)}
       245:{1,3,5}:{(202,1),(203,1),(206,1),(281,1),(285,1)}
       246:{1,2,4,5}:{(203,1),(204,1),(207,1),(220,1),(275,1),(282,1),(285,1),(286,1),(287,1),(353,1),(355,1),(397,1)}
       247:{1,3,5}:{(204,1),(205,1),(221,1),(276,1),(287,1)}
       248:{2,4}:{(206,1),(285,1),(289,1)}
       249:{1,3}:{(207,1),(289,1)}
       250:{1,5,7}:{(208,1),(209,1),(210,1),(290,1)}
       251:{2,4,6,7}:{(209,1),(211,1),(215,1),(290,1),(291,1),(294,1),(356,1)}
       252:{2,5,6}:{(210,1),(211,1),(290,1),(292,1),(299,1)}
       253:{3,6}:{(211,1),(212,1)}
       254:{3,4,7}:{(212,1),(219,1),(293,1),(300,1),(356,1)}
       255:{1,4,7}:{(213,1),(214,1),(216,1),(294,1),(356,1)}
       256:{2,5,7}:{(214,1),(215,1),(217,1),(294,1),(346,1)}
       257:{2,3,6,7}:{(215,1),(218,1),(280,1),(291,1),(295,1),(296,1),(399,1),(411,1)}
       258:{2,4,6}:{(216,1),(217,1),(220,1),(294,1),(297,1)}
       259:{2,3,5,6}:{(217,1),(218,1),(221,1),(283,1),(292,1),(295,1),(297,1),(298,1),(299,1),(351,1),(361,1),(362,1),(397,1),(399,1),(411,1)}
       260:{2,4,6}:{(218,1),(219,1),(284,1),(293,1),(299,1)}
       261:{3,5}:{(220,1),(297,1),(300,1)}
       262:{2,4}:{(221,1),(287,1),(300,1)}
       263:{2,5,7}:{(222,1),(223,1),(224,1),(301,1)}
       264:{1,4,6,7}:{(223,1),(225,1),(229,1),(301,1),(302,1),(306,1)}
       265:{1,5,6}:{(224,1),(225,1),(301,1),(303,1),(321,1)}
       266:{2,4,6}:{(225,1),(226,1),(232,1),(303,1),(304,1),(365,1)}
       267:{3,5,7}:{(226,1),(304,1),(305,1),(312,1),(366,1),(367,1)}
       268:{2,4,7}:{(227,1),(228,1),(230,1),(306,1)}
       269:{1,3,5,7}:{(228,1),(229,1),(231,1),(238,1),(301,1),(306,1),(307,1),(314,1),(363,1),(367,1)}
       270:{2,6,7}:{(229,1),(232,1),(307,1)}
       271:{1,4,6}:{(230,1),(231,1),(234,1),(306,1),(309,1),(365,1)}
       272:{2,5,6}:{(231,1),(232,1),(235,1),(307,1),(309,1),(318,1)}
       273:{2,3,6}:{(232,1),(233,1),(243,1),(304,1),(311,1)}
       274:{2,4,7}:{(233,1),(244,1),(305,1),(311,1),(313,1)}
       275:{2,4,5}:{(234,1),(235,1),(309,1),(312,1),(313,1)}
       276:{2,3,5}:{(235,1),(236,1),(247,1),(312,1),(313,1)}
       277:{2,3,7}:{(237,1),(240,1),(314,1),(330,1),(367,1)}
       278:{1,4,7}:{(237,1),(238,1),(241,1),(314,1)}
       279:{1,2,5,7}:{(238,1),(239,1),(242,1),(256,1),(307,1),(315,1),(316,1),(372,1),(405,1)}
       280:{1,3,6,7}:{(239,1),(243,1),(257,1),(308,1),(316,1),(317,1),(406,1),(412,1)}
       281:{1,3,6}:{(240,1),(241,1),(245,1),(314,1),(318,1)}
       282:{1,2,4,6}:{(241,1),(242,1),(246,1),(258,1),(309,1),(315,1),(318,1),(319,1),(320,1),(378,1)}
       283:{1,3,5,6}:{(242,1),(243,1),(247,1),(259,1),(310,1),(316,1),(319,1),(320,1),(321,1),(376,1),(377,1),(379,1),(406,1),(407,1),(412,1)}
       284:{1,4,6}:{(243,1),(244,1),(260,1),(311,1),(321,1)}
       285:{2,5}:{(245,1),(248,1),(318,1)}
       286:{1,3,5}:{(246,1),(249,1),(261,1),(312,1),(319,1),(323,1),(324,1)}
       287:{1,4}:{(247,1),(262,1),(313,1)}
       288:{1,2,4}:{(248,1),(322,1),(325,1),(380,1)}
       289:{2,3}:{(248,1),(249,1),(325,1)}
       290:{2,5,7}:{(250,1),(251,1),(252,1),(326,1)}
       291:{3,6,7}:{(251,1),(253,1),(326,1),(330,1)}
       292:{3,5,6}:{(252,1),(253,1),(326,1),(328,1),(329,1)}
       293:{3,4,6}:{(253,1),(254,1),(260,1),(328,1),(329,1)}
       294:{2,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       295:{2,3,5,7}:{(256,1),(257,1),(259,1),(316,1),(326,1),(330,1),(331,1),(332,1),(373,1),(383,1),(405,1)}
       296:{2,4,6,7}:{(257,1),(260,1),(317,1),(327,1),(331,1),(332,1),(384,1)}
       297:{3,6}:{(258,1),(261,1),(330,1)}
       298:{2,4,6}:{(259,1),(262,1),(320,1),(328,1),(331,1),(333,1),(334,1)}
       299:{2,5}:{(260,1),(321,1),(329,1)}
       300:{3,4}:{(261,1),(262,1)}
       301:{1,5,7}:{(263,1),(264,1),(265,1),(335,1)}
       302:{2,4,6,7}:{(264,1),(266,1),(270,1),(335,1),(336,1),(339,1),(385,1)}
       303:{2,5,6}:{(265,1),(266,1),(335,1),(337,1),(344,1)}
       304:{3,6}:{(266,1),(267,1)}
       305:{3,4,7}:{(267,1),(274,1),(338,1),(345,1),(385,1)}
       306:{1,4,7}:{(268,1),(269,1),(271,1),(339,1),(385,1)}
       307:{2,5,7}:{(269,1),(270,1),(272,1),(339,1),(346,1)}
       308:{2,3,6,7}:{(270,1),(273,1),(280,1),(336,1),(340,1),(341,1),(409,1),(411,1)}
       309:{2,4,6}:{(271,1),(272,1),(275,1),(339,1),(342,1)}
       310:{2,3,5,6}:{(272,1),(273,1),(276,1),(283,1),(337,1),(340,1),(342,1),(343,1),(344,1),(351,1),(390,1),(391,1),(397,1),(409,1),(411,1)}
       311:{2,4,6}:{(273,1),(274,1),(284,1),(338,1),(344,1)}
       312:{3,5}:{(275,1),(342,1),(345,1)}
       313:{2,4}:{(276,1),(287,1),(345,1)}
       314:{1,3,7}:{(277,1),(278,1),(281,1),(346,1)}
       315:{1,2,4,7}:{(278,1),(279,1),(282,1),(294,1),(339,1),(346,1),(347,1),(348,1),(393,1)}
       316:{1,3,5,7}:{(279,1),(280,1),(283,1),(295,1),(340,1),(347,1),(348,1),(349,1),(392,1),(410,1)}
       317:{1,4,6,7}:{(280,1),(284,1),(296,1),(341,1),(348,1),(349,1),(395,1)}
       318:{2,6}:{(281,1),(285,1),(346,1)}
       319:{1,3,6}:{(282,1),(286,1),(297,1),(342,1),(347,1),(351,1)}
       320:{1,4,6}:{(283,1),(287,1),(298,1),(343,1),(348,1),(353,1)}
       321:{1,5}:{(284,1),(299,1),(344,1)}
       322:{1,2,5}:{(285,1),(288,1),(350,1),(354,1)}
       323:{2,3,5}:{(285,1),(286,1),(289,1),(351,1),(354,1),(355,1),(397,1)}
       324:{1,3,4}:{(286,1),(287,1),(300,1),(345,1),(355,1)}
       325:{1,3}:{(288,1),(289,1)}
       326:{3,5,7}:{(290,1),(291,1),(292,1),(356,1)}
       327:{3,4,6,7}:{(291,1),(293,1),(296,1),(356,1),(357,1),(359,1),(398,1),(399,1)}
       328:{4,6}:{(292,1),(356,1),(358,1)}
       329:{3,5}:{(293,1),(299,1),(358,1)}
       330:{3,7}:{(294,1),(297,1)}
       331:{2,4,7}:{(295,1),(298,1),(348,1),(356,1),(359,1)}
       332:{2,5,7}:{(296,1),(299,1),(349,1),(357,1),(361,1)}
       333:{3,4,6}:{(297,1),(298,1),(300,1),(359,1),(362,1),(399,1)}
       334:{2,4,5}:{(298,1),(299,1),(353,1),(358,1),(362,1),(397,1)}
       335:{2,5,7}:{(301,1),(302,1),(303,1),(363,1)}
       336:{3,6,7}:{(302,1),(304,1),(363,1),(367,1)}
       337:{3,5,6}:{(303,1),(304,1),(363,1),(365,1),(366,1)}
       338:{3,4,6}:{(304,1),(305,1),(311,1),(365,1),(366,1)}
       339:{2,4,7}:{(306,1),(307,1),(309,1),(367,1)}
       340:{2,3,5,7}:{(307,1),(308,1),(310,1),(316,1),(363,1),(367,1),(368,1),(369,1),(373,1),(402,1),(405,1)}
       341:{2,4,6,7}:{(308,1),(311,1),(317,1),(364,1),(368,1),(369,1),(403,1)}
       342:{3,6}:{(309,1),(312,1),(367,1)}
       343:{2,4,6}:{(310,1),(313,1),(320,1),(365,1),(368,1),(370,1),(371,1)}
       344:{2,5}:{(311,1),(321,1),(366,1)}
       345:{3,4}:{(312,1),(313,1)}
       346:{2,7}:{(314,1),(318,1)}
       347:{1,3,7}:{(315,1),(319,1),(330,1),(367,1),(373,1)}
       348:{1,4,7}:{(316,1),(320,1),(331,1),(368,1)}
       349:{1,5,7}:{(317,1),(321,1),(332,1),(369,1),(376,1)}
       350:{1,2,6}:{(318,1),(322,1),(372,1),(377,1)}
       351:{2,3,6}:{(318,1),(319,1),(323,1),(373,1),(377,1),(378,1)}
       352:{1,3,4,6}:{(319,1),(320,1),(324,1),(333,1),(370,1),(374,1),(378,1),(379,1),(406,1)}
       353:{1,4,5}:{(320,1),(321,1),(334,1),(371,1),(379,1),(407,1)}
       354:{1,3,5}:{(322,1),(323,1),(325,1),(377,1),(380,1),(407,1)}
       355:{2,4}:{(323,1),(324,1),(380,1)}
       356:{4,7}:{(326,1),(328,1)}
       357:{3,5,7}:{(327,1),(329,1),(332,1),(381,1),(382,1)}
       358:{4,5}:{(328,1),(329,1)}
       359:{3,4,7}:{(330,1),(331,1),(333,1),(383,1)}
       360:{2,4,5,7}:{(331,1),(332,1),(334,1),(375,1),(381,1),(383,1),(384,1),(405,1)}
       361:{2,5,6}:{(332,1),(376,1),(382,1),(384,1)}
       362:{3,5}:{(333,1),(334,1)}
       363:{3,5,7}:{(335,1),(336,1),(337,1),(385,1)}
       364:{3,4,6,7}:{(336,1),(338,1),(341,1),(385,1),(386,1),(388,1),(408,1),(409,1)}
       365:{4,6}:{(337,1),(385,1),(387,1)}
       366:{3,5}:{(338,1),(344,1),(387,1)}
       367:{3,7}:{(339,1),(342,1)}
       368:{2,4,7}:{(340,1),(343,1),(348,1),(385,1),(388,1)}
       369:{2,5,7}:{(341,1),(344,1),(349,1),(386,1),(390,1)}
       370:{3,4,6}:{(342,1),(343,1),(345,1),(388,1),(391,1),(409,1)}
       371:{2,4,5}:{(343,1),(344,1),(353,1),(387,1),(391,1),(397,1)}
       372:{1,2,7}:{(346,1),(350,1),(392,1)}
       373:{2,3,7}:{(346,1),(347,1),(351,1),(392,1),(393,1)}
       374:{1,3,4,7}:{(347,1),(348,1),(352,1),(359,1),(388,1),(393,1),(394,1)}
       375:{1,4,5,7}:{(348,1),(349,1),(353,1),(360,1),(389,1),(394,1),(395,1),(410,1)}
       376:{1,5,6}:{(349,1),(361,1),(390,1),(395,1)}
       377:{1,3,6}:{(350,1),(351,1),(354,1),(392,1),(396,1)}
       378:{2,4,6}:{(351,1),(352,1),(355,1),(393,1),(396,1),(397,1),(411,1)}
       379:{1,3,5}:{(352,1),(353,1),(362,1),(391,1),(397,1)}
       380:{1,4}:{(354,1),(355,1)}
       381:{4,5,7}:{(356,1),(357,1),(358,1),(398,1)}
       382:{3,5,6}:{(357,1),(361,1),(398,1),(399,1)}
       383:{3,5,7}:{(359,1),(360,1),(362,1),(399,1)}
       384:{2,4,6}:{(360,1),(361,1),(395,1),(398,1),(399,1),(411,1)}
       385:{4,7}:{(363,1),(365,1)}
       386:{3,5,7}:{(364,1),(366,1),(369,1),(400,1),(401,1)}
       387:{4,5}:{(365,1),(366,1)}
       388:{3,4,7}:{(367,1),(368,1),(370,1),(402,1)}
       389:{2,4,5,7}:{(368,1),(369,1),(371,1),(375,1),(400,1),(402,1),(403,1),(405,1)}
       390:{2,5,6}:{(369,1),(376,1),(401,1),(403,1)}
       391:{3,5}:{(370,1),(371,1)}
       392:{1,3,7}:{(372,1),(373,1),(377,1),(404,1)}
       393:{2,4,7}:{(373,1),(374,1),(378,1),(404,1),(405,1)}
       394:{1,3,5,7}:{(374,1),(375,1),(379,1),(383,1),(402,1),(405,1),(406,1)}
       395:{1,4,6}:{(375,1),(376,1),(384,1),(403,1),(406,1),(412,1)}
       396:{1,4,6}:{(377,1),(378,1),(380,1),(404,1),(407,1),(412,1)}
       397:{2,5}:{(378,1),(379,1),(407,1)}
       398:{4,6}:{(381,1),(382,1)}
       399:{3,6}:{(383,1),(384,1)}
       400:{4,5,7}:{(385,1),(386,1),(387,1),(408,1)}
       401:{3,5,6}:{(386,1),(390,1),(408,1),(409,1)}
       402:{3,5,7}:{(388,1),(389,1),(391,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(395,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(392,1),(393,1),(396,1),(410,1)}
       405:{2,5,7}:{(393,1),(394,1),(397,1),(410,1),(411,1)}
       406:{1,3,6}:{(394,1),(395,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(396,1),(397,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 598 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 599 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 600 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 601 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(4,1),(5,1),(6,1),(19,1),(25,1),(26,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(11,1),(34,1)}
         3:{1,2,6}:{(0,1),(9,1),(10,1),(69,1)}
         4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(11,1),(33,1),(36,1),(68,1)}
         5:{2,3,6}:{(1,1),(9,1),(13,1),(14,1),(41,1),(69,1)}
         6:{2,4}:{(1,1),(11,1),(12,1)}
         7:{2,3,5}:{(4,1),(16,1),(17,1),(19,1),(46,1),(47,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,3,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(84,1)}
        10:{1,2,7}:{(3,1),(22,1),(85,1)}
        11:{1,4}:{(4,1),(6,1),(17,1)}
        12:{3,4}:{(6,1),(25,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(24,1),(26,1),(27,1),(61,1)}
        14:{2,3,7}:{(5,1),(22,1),(27,1),(59,1),(85,1)}
        15:{2,4,5}:{(6,1),(23,1),(25,1),(26,1),(28,1),(51,1),(56,1)}
        16:{2,3,6}:{(7,1),(9,1),(30,1),(31,1),(64,1),(69,1)}
        17:{2,4}:{(7,1),(11,1),(29,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(11,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,4,6}:{(9,1),(11,1),(13,1),(30,1),(36,1),(37,1),(72,1)}
        22:{1,3,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(95,1)}
        23:{1,4,5}:{(11,1),(15,1),(32,1),(35,1),(36,1),(38,1),(68,1)}
        24:{3,4,6}:{(12,1),(13,1),(39,1),(40,1),(41,1),(73,1),(76,1)}
        25:{3,5}:{(12,1),(15,1),(41,1)}
        26:{2,5}:{(13,1),(36,1),(39,1)}
        27:{2,4,7}:{(13,1),(14,1),(37,1),(40,1),(43,1)}
        28:{2,4,6}:{(15,1),(38,1),(41,1),(42,1),(44,1),(69,1),(73,1)}
        29:{3,4}:{(17,1),(46,1)}
        30:{2,4,6}:{(16,1),(17,1),(21,1),(45,1),(47,1),(48,1),(83,1)}
        31:{2,3,7}:{(16,1),(22,1),(48,1),(81,1),(85,1)}
        32:{2,4,5}:{(17,1),(23,1),(46,1),(47,1),(49,1),(51,1),(78,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(23,1),(25,1),(46,1),(51,1),(52,1)}
        36:{1,5}:{(21,1),(26,1),(47,1)}
        37:{1,4,7}:{(21,1),(22,1),(27,1),(48,1),(54,1)}
        38:{1,4,6}:{(23,1),(28,1),(49,1),(52,1),(53,1),(55,1),(84,1)}
        39:{3,5}:{(24,1),(26,1),(56,1)}
        40:{3,4,7}:{(24,1),(27,1),(58,1),(59,1),(87,1)}
        41:{3,6}:{(25,1),(28,1),(59,1)}
        42:{2,5,6}:{(26,1),(28,1),(53,1),(57,1),(60,1),(61,1)}
        43:{2,5,7}:{(26,1),(27,1),(54,1),(58,1),(61,1)}
        44:{2,4,7}:{(28,1),(55,1),(59,1),(60,1),(85,1),(87,1)}
        45:{3,4,6}:{(29,1),(30,1),(62,1),(63,1),(64,1),(90,1),(93,1)}
        46:{3,5}:{(29,1),(32,1),(64,1)}
        47:{2,5}:{(30,1),(36,1),(62,1)}
        48:{2,4,7}:{(30,1),(31,1),(37,1),(63,1),(66,1)}
        49:{2,4,6}:{(32,1),(38,1),(64,1),(65,1),(67,1),(69,1),(90,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(38,1),(41,1),(64,1),(69,1),(70,1)}
        53:{1,5,6}:{(36,1),(38,1),(42,1),(65,1),(71,1),(72,1)}
        54:{1,5,7}:{(36,1),(37,1),(43,1),(66,1),(72,1)}
        55:{1,4,7}:{(38,1),(44,1),(67,1),(70,1),(71,1),(95,1)}
        56:{4,5}:{(39,1),(73,1)}
        57:{3,5,6}:{(39,1),(41,1),(42,1),(73,1),(75,1),(76,1),(97,1)}
        58:{3,5,7}:{(39,1),(40,1),(43,1),(74,1),(76,1)}
        59:{3,7}:{(41,1),(44,1)}
        60:{2,5,7}:{(42,1),(44,1),(71,1),(75,1),(77,1)}
        61:{2,6}:{(43,1),(72,1),(76,1)}
        62:{3,5}:{(45,1),(47,1),(78,1)}
        63:{3,4,7}:{(45,1),(48,1),(80,1),(81,1),(98,1)}
        64:{3,6}:{(46,1),(49,1),(81,1)}
        65:{2,5,6}:{(47,1),(49,1),(53,1),(79,1),(82,1),(83,1)}
        66:{2,5,7}:{(47,1),(48,1),(54,1),(80,1),(83,1)}
        67:{2,4,7}:{(49,1),(55,1),(81,1),(82,1),(85,1),(98,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(55,1),(59,1),(81,1),(85,1)}
        71:{1,5,7}:{(53,1),(55,1),(60,1),(82,1),(86,1)}
        72:{1,6}:{(54,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(57,1),(87,1)}
        74:{4,5,7}:{(56,1),(58,1),(87,1),(88,1),(101,1)}
        75:{3,5,7}:{(57,1),(59,1),(60,1),(87,1),(89,1),(101,1)}
        76:{3,6}:{(58,1),(61,1),(88,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(89,1)}
        78:{4,5}:{(62,1),(90,1)}
        79:{3,5,6}:{(62,1),(64,1),(65,1),(90,1),(92,1),(93,1),(103,1)}
        80:{3,5,7}:{(62,1),(63,1),(66,1),(91,1),(93,1)}
        81:{3,7}:{(64,1),(67,1)}
        82:{2,5,7}:{(65,1),(67,1),(71,1),(92,1),(94,1)}
        83:{2,6}:{(66,1),(72,1),(93,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,7}:{(73,1),(75,1)}
        88:{4,6}:{(74,1),(76,1),(97,1)}
        89:{3,6,7}:{(75,1),(76,1),(77,1),(96,1)}
        90:{4,6}:{(78,1),(79,1),(98,1)}
        91:{4,5,7}:{(78,1),(80,1),(98,1),(99,1),(104,1)}
        92:{3,5,7}:{(79,1),(81,1),(82,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(80,1),(83,1),(99,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(88,1),(101,1)}
        98:{4,7}:{(90,1),(92,1)}
        99:{4,6}:{(91,1),(93,1),(103,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 602 :   0:{1,2,6}:{(2,1),(3,1),(4,1),(90,1)}
         1:{2,3,6}:{(3,1),(5,1),(6,1),(7,1),(63,1),(90,1)}
         2:{1,2,5}:{(0,1),(9,1),(10,1),(34,1),(74,1)}
         3:{1,3,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(12,1),(98,1)}
         4:{1,2,7}:{(0,1),(12,1),(99,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(15,1),(35,1),(43,1),(74,1)}
         6:{2,4,6}:{(1,1),(11,1),(13,1),(14,1),(15,1),(16,1),(46,1)}
         7:{2,3,7}:{(1,1),(12,1),(16,1),(81,1),(99,1)}
         8:{2,3,6}:{(3,1),(17,1),(18,1),(19,1),(86,1),(90,1)}
         9:{1,2,4}:{(2,1),(20,1),(21,1),(54,1)}
        10:{1,3,5}:{(2,1),(3,1),(5,1),(17,1),(20,1),(21,1),(22,1),(53,1),(89,1)}
        11:{1,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(58,1)}
        12:{1,3,7}:{(3,1),(4,1),(7,1),(19,1),(23,1),(103,1)}
        13:{3,4,6}:{(6,1),(24,1),(25,1),(26,1),(59,1),(62,1),(63,1)}
        14:{2,4}:{(5,1),(21,1),(26,1)}
        15:{2,5}:{(6,1),(22,1),(24,1)}
        16:{2,4,7}:{(6,1),(7,1),(23,1),(25,1),(29,1)}
        17:{2,3,5}:{(8,1),(10,1),(31,1),(32,1),(35,1),(69,1),(74,1)}
        18:{2,4,6}:{(8,1),(11,1),(30,1),(31,1),(32,1),(33,1),(72,1)}
        19:{2,3,7}:{(8,1),(12,1),(33,1),(97,1),(99,1)}
        20:{1,3}:{(9,1),(35,1)}
        21:{1,4}:{(10,1),(14,1),(31,1)}
        22:{1,5}:{(11,1),(15,1),(32,1)}
        23:{1,4,7}:{(11,1),(12,1),(16,1),(33,1),(39,1)}
        24:{3,5}:{(13,1),(15,1),(40,1)}
        25:{3,4,7}:{(13,1),(16,1),(42,1),(78,1),(81,1)}
        26:{3,4}:{(14,1),(43,1)}
        27:{2,4,5}:{(14,1),(15,1),(37,1),(40,1),(43,1),(44,1),(74,1)}
        28:{2,5,6}:{(15,1),(38,1),(41,1),(44,1),(45,1),(46,1)}
        29:{2,5,7}:{(15,1),(16,1),(39,1),(42,1),(46,1)}
        30:{3,4,6}:{(18,1),(47,1),(48,1),(49,1),(82,1),(85,1),(86,1)}
        31:{2,4}:{(17,1),(21,1),(49,1)}
        32:{2,5}:{(18,1),(22,1),(47,1)}
        33:{2,4,7}:{(18,1),(19,1),(23,1),(48,1),(52,1)}
        34:{1,2}:{(53,1)}
        35:{2,3}:{(20,1),(53,1),(54,1)}
        36:{1,3,4}:{(20,1),(21,1),(26,1),(49,1),(54,1),(55,1)}
        37:{1,4,5}:{(21,1),(22,1),(27,1),(50,1),(55,1),(56,1),(89,1)}
        38:{1,5,6}:{(22,1),(28,1),(51,1),(56,1),(57,1),(58,1)}
        39:{1,5,7}:{(22,1),(23,1),(29,1),(52,1),(58,1)}
        40:{4,5}:{(24,1),(59,1)}
        41:{3,5,6}:{(24,1),(28,1),(59,1),(61,1),(62,1),(63,1),(93,1)}
        42:{3,5,7}:{(24,1),(25,1),(29,1),(60,1),(62,1)}
        43:{3,5}:{(26,1),(27,1),(63,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(59,1),(63,1),(64,1),(90,1)}
        45:{2,5,7}:{(28,1),(57,1),(61,1),(64,1),(65,1)}
        46:{2,6}:{(29,1),(58,1),(62,1)}
        47:{3,5}:{(30,1),(32,1),(66,1)}
        48:{3,4,7}:{(30,1),(33,1),(68,1),(94,1),(97,1)}
        49:{3,4}:{(31,1),(69,1)}
        50:{2,4,5}:{(31,1),(32,1),(37,1),(66,1),(69,1),(70,1),(74,1)}
        51:{2,5,6}:{(32,1),(38,1),(67,1),(70,1),(71,1),(72,1)}
        52:{2,5,7}:{(32,1),(33,1),(39,1),(68,1),(72,1)}
        53:{1,3}:{(34,1),(35,1),(73,1)}
        54:{2,4}:{(35,1),(36,1),(73,1),(74,1)}
        55:{1,3,5}:{(36,1),(37,1),(43,1),(69,1),(74,1),(75,1)}
        56:{1,4,6}:{(37,1),(38,1),(44,1),(70,1),(75,1),(76,1),(98,1)}
        57:{1,5,7}:{(38,1),(45,1),(71,1),(76,1),(77,1)}
        58:{1,6}:{(39,1),(46,1),(72,1)}
        59:{4,6}:{(40,1),(41,1),(78,1)}
        60:{4,5,7}:{(40,1),(42,1),(78,1),(79,1),(100,1)}
        61:{3,5,7}:{(41,1),(45,1),(78,1),(80,1),(81,1),(100,1)}
        62:{3,6}:{(42,1),(46,1),(79,1)}
        63:{3,6}:{(43,1),(44,1),(81,1)}
        64:{2,4,7}:{(44,1),(45,1),(76,1),(78,1),(81,1),(99,1)}
        65:{2,6,7}:{(45,1),(46,1),(77,1),(80,1)}
        66:{4,5}:{(47,1),(82,1)}
        67:{3,5,6}:{(47,1),(51,1),(82,1),(84,1),(85,1),(86,1),(102,1)}
        68:{3,5,7}:{(47,1),(48,1),(52,1),(83,1),(85,1)}
        69:{3,5}:{(49,1),(50,1),(86,1)}
        70:{2,4,6}:{(50,1),(51,1),(56,1),(82,1),(86,1),(87,1),(90,1)}
        71:{2,5,7}:{(51,1),(57,1),(84,1),(87,1),(88,1)}
        72:{2,6}:{(52,1),(58,1),(85,1)}
        73:{1,4}:{(53,1),(54,1),(89,1)}
        74:{2,5}:{(54,1),(55,1),(89,1),(90,1)}
        75:{1,3,6}:{(55,1),(56,1),(63,1),(86,1),(90,1),(91,1)}
        76:{1,4,7}:{(56,1),(57,1),(64,1),(87,1),(91,1),(103,1)}
        77:{1,6,7}:{(57,1),(58,1),(65,1),(88,1)}
        78:{4,7}:{(59,1),(61,1)}
        79:{4,6}:{(60,1),(62,1),(93,1)}
        80:{3,6,7}:{(61,1),(62,1),(65,1),(92,1)}
        81:{3,7}:{(63,1),(64,1)}
        82:{4,6}:{(66,1),(67,1),(94,1)}
        83:{4,5,7}:{(66,1),(68,1),(94,1),(95,1),(104,1)}
        84:{3,5,7}:{(67,1),(71,1),(94,1),(96,1),(97,1),(104,1)}
        85:{3,6}:{(68,1),(72,1),(95,1)}
        86:{3,6}:{(69,1),(70,1),(97,1)}
        87:{2,4,7}:{(70,1),(71,1),(76,1),(94,1),(97,1),(99,1)}
        88:{2,6,7}:{(71,1),(72,1),(77,1),(96,1)}
        89:{1,5}:{(73,1),(74,1),(98,1)}
        90:{2,6}:{(74,1),(75,1),(98,1),(99,1)}
        91:{1,3,7}:{(75,1),(76,1),(81,1),(97,1),(99,1)}
        92:{4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        93:{5,6}:{(79,1),(100,1)}
        94:{4,7}:{(82,1),(84,1)}
        95:{4,6}:{(83,1),(85,1),(102,1)}
        96:{3,6,7}:{(84,1),(85,1),(88,1),(101,1)}
        97:{3,7}:{(86,1),(87,1)}
        98:{1,6}:{(89,1),(90,1),(103,1)}
        99:{2,7}:{(90,1),(91,1),(103,1)}
       100:{5,7}:{(92,1),(93,1)}
       101:{4,6,7}:{(94,1),(95,1),(96,1),(104,1)}
       102:{5,6}:{(95,1),(104,1)}
       103:{1,7}:{(98,1),(99,1)}
       104:{5,7}:{(101,1),(102,1)}

 603 :   0:{1,2,7}:{(2,1),(3,1),(102,1)}
         1:{2,3,7}:{(2,1),(4,1),(5,1),(89,1),(102,1)}
         2:{1,3,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(104,1)}
         3:{1,2,6}:{(0,1),(8,1),(9,1),(97,1)}
         4:{2,4,7}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
         5:{2,3,6}:{(1,1),(8,1),(12,1),(13,1),(74,1),(97,1)}
         6:{2,3,7}:{(2,1),(14,1),(15,1),(101,1),(102,1)}
         7:{1,4,7}:{(2,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,6}:{(2,1),(3,1),(5,1),(15,1),(17,1),(18,1),(103,1)}
         9:{1,2,5}:{(3,1),(18,1),(19,1),(84,1),(86,1)}
        10:{3,4,7}:{(4,1),(20,1),(21,1),(88,1),(89,1)}
        11:{2,5,7}:{(4,1),(16,1),(20,1),(22,1),(23,1)}
        12:{2,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(24,1)}
        13:{2,3,5}:{(5,1),(18,1),(23,1),(24,1),(49,1),(56,1),(84,1)}
        14:{2,4,7}:{(6,1),(7,1),(25,1),(26,1),(27,1)}
        15:{2,3,6}:{(6,1),(8,1),(27,1),(28,1),(95,1),(97,1)}
        16:{1,5,7}:{(7,1),(11,1),(26,1),(29,1),(30,1)}
        17:{1,4,6}:{(7,1),(8,1),(12,1),(27,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(9,1),(13,1),(28,1),(30,1),(31,1),(32,1),(68,1),(98,1)}
        19:{1,2,4}:{(9,1),(31,1),(32,1),(67,1)}
        20:{3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        21:{3,4,6}:{(10,1),(12,1),(34,1),(35,1),(39,1),(72,1),(74,1)}
        22:{2,6}:{(11,1),(29,1),(34,1)}
        23:{2,5}:{(12,1),(30,1),(35,1)}
        24:{2,4}:{(13,1),(31,1),(39,1)}
        25:{3,4,7}:{(14,1),(40,1),(41,1),(100,1),(101,1)}
        26:{2,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(17,1),(41,1),(42,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(18,1),(43,1),(44,1),(49,1),(81,1),(84,1)}
        29:{1,6}:{(16,1),(22,1),(42,1)}
        30:{1,5}:{(17,1),(23,1),(43,1)}
        31:{1,4}:{(18,1),(24,1),(44,1)}
        32:{1,3}:{(19,1),(49,1)}
        33:{4,5,7}:{(20,1),(50,1),(53,1),(87,1),(88,1)}
        34:{3,6}:{(20,1),(22,1),(50,1)}
        35:{3,5}:{(21,1),(23,1),(53,1)}
        36:{2,6,7}:{(22,1),(45,1),(51,1),(54,1)}
        37:{2,5,6}:{(22,1),(23,1),(46,1),(52,1),(54,1),(55,1)}
        38:{2,4,5}:{(23,1),(24,1),(47,1),(53,1),(55,1),(56,1),(84,1)}
        39:{3,4}:{(24,1),(56,1)}
        40:{3,5,7}:{(25,1),(26,1),(57,1),(58,1),(59,1)}
        41:{3,4,6}:{(25,1),(27,1),(58,1),(59,1),(63,1),(93,1),(95,1)}
        42:{2,6}:{(26,1),(29,1),(58,1)}
        43:{2,5}:{(27,1),(30,1),(59,1)}
        44:{2,4}:{(28,1),(31,1),(63,1)}
        45:{1,6,7}:{(29,1),(36,1),(60,1),(64,1)}
        46:{1,5,6}:{(29,1),(30,1),(37,1),(61,1),(64,1),(65,1)}
        47:{1,4,5}:{(30,1),(31,1),(38,1),(62,1),(65,1),(66,1),(98,1)}
        48:{1,3,4}:{(31,1),(32,1),(39,1),(63,1),(66,1),(67,1)}
        49:{2,3}:{(32,1),(67,1),(68,1)}
        50:{4,6}:{(33,1),(34,1),(70,1)}
        51:{3,6,7}:{(34,1),(36,1),(69,1),(71,1)}
        52:{3,5,6}:{(34,1),(35,1),(37,1),(70,1),(71,1),(72,1),(74,1)}
        53:{4,5}:{(35,1),(72,1)}
        54:{2,5,7}:{(36,1),(37,1),(64,1),(71,1),(73,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(72,1),(73,1),(74,1),(97,1)}
        56:{3,5}:{(38,1),(39,1),(74,1)}
        57:{4,5,7}:{(40,1),(75,1),(78,1),(99,1),(100,1)}
        58:{3,6}:{(40,1),(42,1),(75,1)}
        59:{3,5}:{(41,1),(43,1),(78,1)}
        60:{2,6,7}:{(42,1),(45,1),(76,1),(79,1)}
        61:{2,5,6}:{(42,1),(43,1),(46,1),(77,1),(79,1),(80,1)}
        62:{2,4,5}:{(43,1),(44,1),(47,1),(78,1),(80,1),(81,1),(84,1)}
        63:{3,4}:{(44,1),(81,1)}
        64:{1,5,7}:{(45,1),(46,1),(54,1),(79,1),(82,1)}
        65:{1,4,6}:{(46,1),(47,1),(55,1),(80,1),(82,1),(83,1),(103,1)}
        66:{1,3,5}:{(47,1),(48,1),(56,1),(81,1),(83,1),(84,1)}
        67:{2,4}:{(48,1),(49,1),(84,1),(85,1)}
        68:{1,3}:{(49,1),(85,1),(86,1)}
        69:{4,6,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{5,6}:{(50,1),(87,1)}
        71:{3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        72:{4,6}:{(52,1),(53,1),(88,1)}
        73:{2,4,7}:{(54,1),(55,1),(82,1),(88,1),(89,1),(102,1)}
        74:{3,6}:{(55,1),(56,1),(89,1)}
        75:{4,6}:{(57,1),(58,1),(91,1)}
        76:{3,6,7}:{(58,1),(60,1),(90,1),(92,1)}
        77:{3,5,6}:{(58,1),(59,1),(61,1),(91,1),(92,1),(93,1),(95,1)}
        78:{4,5}:{(59,1),(93,1)}
        79:{2,5,7}:{(60,1),(61,1),(64,1),(92,1),(94,1)}
        80:{2,4,6}:{(61,1),(62,1),(65,1),(93,1),(94,1),(95,1),(97,1)}
        81:{3,5}:{(62,1),(63,1),(95,1)}
        82:{1,4,7}:{(64,1),(65,1),(73,1),(94,1),(96,1),(104,1)}
        83:{1,3,6}:{(65,1),(66,1),(74,1),(95,1),(96,1),(97,1)}
        84:{2,5}:{(66,1),(67,1),(97,1),(98,1)}
        85:{1,4}:{(67,1),(68,1),(98,1)}
        86:{1,2}:{(68,1)}
        87:{5,7}:{(69,1),(70,1)}
        88:{4,7}:{(71,1),(72,1)}
        89:{3,7}:{(73,1),(74,1)}
        90:{4,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{5,6}:{(75,1),(99,1)}
        92:{3,5,7}:{(76,1),(77,1),(79,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(77,1),(78,1),(100,1)}
        94:{2,4,7}:{(79,1),(80,1),(82,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(80,1),(81,1),(101,1)}
        96:{1,3,7}:{(82,1),(83,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(83,1),(84,1),(102,1),(103,1)}
        98:{1,5}:{(84,1),(85,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 604 :  0:{1,2}:{(2,1)}
        1:{2,3}:{(2,1),(3,1)}
        2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
        3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
        4:{2,3}:{(2,1),(8,1)}
        5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
        6:{3,4}:{(3,1),(10,1)}
        7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
        8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
       10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
       11:{2,6}:{(7,1),(14,1),(16,1),(17,1)}
       12:{3,4}:{(8,1),(18,1)}
       13:{2,5}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,6}:{(9,1),(11,1),(19,1),(20,1)}
       15:{4,5}:{(10,1),(21,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{2,7}:{(11,1),(20,1),(22,1)}
       18:{3,5}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,6}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,7}:{(14,1),(17,1),(25,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,7}:{(16,1),(17,1),(27,1)}
       23:{4,5}:{(18,1),(28,1)}
       24:{3,6}:{(18,1),(19,1),(28,1),(29,1)}
       25:{2,7}:{(19,1),(20,1),(29,1)}
       26:{5,6}:{(21,1),(30,1)}
       27:{4,7}:{(21,1),(22,1),(30,1)}
       28:{4,6}:{(23,1),(24,1),(31,1),(32,1)}
       29:{3,7}:{(24,1),(25,1),(32,1)}
       30:{5,7}:{(26,1),(27,1),(33,1)}
       31:{5,6}:{(28,1),(34,1)}
       32:{4,7}:{(28,1),(29,1),(34,1)}
       33:{6,7}:{(30,1)}
       34:{5,7}:{(31,1),(32,1),(35,1)}
       35:{6,7}:{(34,1)}

 605 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(21,1),(25,1),(51,1),(135,1),(167,1),(172,1),(247,1),(252,1),(273,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(32,1),(40,1),(44,1),(104,1),(112,1),(116,1),(217,1),(226,1),(227,1),(233,1),(332,1)}
         2:{2,3,5}:{(0,1),(6,1),(9,1),(304,1),(311,1),(329,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(10,1),(47,1),(88,1),(191,1),(234,1),(307,1),(333,1)}
         4:{2,3,4,6}:{(11,1),(12,1),(13,1),(15,1),(57,1),(61,1),(68,1),(164,1),(169,1),(250,1),(255,1),(273,1)}
         5:{2,4,6}:{(1,1),(15,1),(16,1),(17,1),(68,1),(74,1),(289,1),(297,1)}
         6:{1,3,5}:{(1,1),(2,1),(16,1),(19,1),(72,1),(277,1),(290,1),(382,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(17,1),(20,1),(63,1),(77,1),(157,1),(168,1),(173,1),(298,1),(387,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(21,1),(22,1),(25,1),(81,1),(86,1),(172,1),(178,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1),(23,1),(135,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(20,1),(24,1),(25,1),(361,1),(383,1)}
        11:{1,3,4,6}:{(4,1),(26,1),(27,1),(28,1),(32,1),(92,1),(96,1),(104,1),(190,1),(194,1),(217,1),(309,1),(310,1),(316,1),(332,1)}
        12:{2,3,5}:{(4,1),(27,1),(30,1),(221,1),(228,1),(329,1)}
        13:{2,3,4,7}:{(4,1),(28,1),(31,1),(36,1),(99,1),(113,1),(224,1),(317,1),(333,1)}
        14:{1,2,4,6}:{(5,1),(26,1),(32,1),(33,1),(34,1),(104,1),(109,1),(217,1),(332,1),(335,1),(336,1)}
        15:{2,3,6}:{(5,1),(32,1),(35,1),(36,1),(116,1),(347,1)}
        16:{2,5}:{(5,1),(6,1)}
        17:{2,4,7}:{(5,1),(7,1),(36,1),(39,1),(356,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(37,1),(40,1),(41,1),(44,1),(116,1),(128,1),(233,1),(238,1),(239,1)}
        19:{1,4,5}:{(6,1),(9,1),(38,1),(40,1),(104,1),(348,1)}
        20:{1,3,5,7}:{(6,1),(7,1),(10,1),(39,1),(43,1),(44,1),(120,1),(429,1)}
        21:{2,4,6}:{(8,1),(9,1),(40,1),(46,1),(47,1)}
        22:{2,3,5,7}:{(8,1),(41,1),(47,1),(48,1),(129,1),(132,1),(234,1),(240,1)}
        23:{3,4,5}:{(9,1),(46,1),(190,1),(304,1),(549,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(43,1),(47,1),(49,1),(50,1),(132,1),(191,1),(311,1)}
        25:{2,3,6}:{(10,1),(44,1),(50,1),(411,1),(430,1)}
        26:{2,4,6}:{(11,1),(51,1),(52,1),(53,1),(135,1),(141,1),(367,1),(375,1)}
        27:{1,3,5}:{(11,1),(12,1),(52,1),(55,1),(139,1),(277,1),(368,1),(382,1)}
        28:{1,3,4,7}:{(11,1),(13,1),(53,1),(56,1),(63,1),(144,1),(157,1),(251,1),(256,1),(376,1),(387,1)}
        29:{2,3,5,6}:{(12,1),(54,1),(57,1),(58,1),(61,1),(148,1),(153,1),(255,1),(261,1)}
        30:{2,4,5}:{(12,1),(55,1),(57,1),(59,1),(68,1)}
        31:{2,3,5,7}:{(12,1),(13,1),(56,1),(60,1),(61,1),(283,1),(383,1)}
        32:{1,3,6}:{(14,1),(15,1),(51,1),(62,1),(63,1),(388,1)}
        33:{1,2,5}:{(14,1),(16,1),(52,1),(62,1),(277,1),(382,1)}
        34:{1,2,4,7}:{(14,1),(17,1),(53,1),(63,1),(66,1),(157,1),(387,1),(389,1)}
        35:{2,3,5}:{(15,1),(16,1),(62,1),(68,1),(72,1)}
        36:{2,3,7}:{(15,1),(17,1),(63,1),(173,1)}
        37:{2,5,6}:{(16,1),(18,1),(70,1),(71,1),(74,1),(297,1)}
        38:{2,4,5}:{(16,1),(19,1),(68,1),(70,1),(72,1)}
        39:{2,5,7}:{(16,1),(17,1),(20,1),(74,1)}
        40:{1,4,6}:{(18,1),(19,1),(21,1),(70,1),(77,1),(300,1)}
        41:{1,3,5,7}:{(18,1),(22,1),(71,1),(77,1),(78,1),(173,1),(183,1),(298,1),(299,1),(301,1)}
        42:{1,3,4,5}:{(19,1),(23,1),(72,1),(76,1),(79,1),(156,1),(175,1),(271,1),(281,1),(390,1),(469,1)}
        43:{1,4,5,7}:{(19,1),(20,1),(24,1),(73,1),(77,1),(80,1),(157,1),(183,1),(277,1)}
        44:{1,3,6}:{(20,1),(25,1),(74,1),(80,1),(176,1),(467,1)}
        45:{2,4,5,6}:{(21,1),(75,1),(81,1),(82,1),(86,1),(178,1),(187,1),(246,1),(362,1),(400,1),(521,1),(544,1)}
        46:{3,4,6}:{(21,1),(23,1),(81,1),(83,1),(544,1)}
        47:{2,4,7}:{(21,1),(22,1),(77,1),(83,1)}
        48:{2,3,6,7}:{(22,1),(25,1),(78,1),(84,1),(184,1),(302,1)}
        49:{3,4,5,7}:{(23,1),(24,1),(83,1),(85,1),(186,1),(251,1),(361,1),(368,1),(457,1)}
        50:{2,4,6}:{(24,1),(25,1),(80,1),(85,1),(86,1)}
        51:{2,3,6}:{(26,1),(32,1),(87,1),(88,1),(194,1),(416,1)}
        52:{2,5}:{(26,1),(27,1)}
        53:{2,4,7}:{(26,1),(28,1),(88,1),(91,1),(425,1)}
        54:{1,3,5,6}:{(27,1),(29,1),(89,1),(92,1),(93,1),(96,1),(194,1),(206,1),(316,1),(321,1),(322,1)}
        55:{1,4,5}:{(27,1),(30,1),(90,1),(92,1),(104,1),(417,1)}
        56:{1,3,5,7}:{(27,1),(28,1),(31,1),(91,1),(95,1),(96,1),(198,1),(429,1)}
        57:{2,4,6}:{(29,1),(30,1),(92,1),(98,1),(99,1)}
        58:{2,3,5,7}:{(29,1),(93,1),(99,1),(100,1),(207,1),(210,1),(317,1),(323,1)}
        59:{3,4,5}:{(30,1),(98,1),(112,1),(221,1),(552,1)}
        60:{2,4,5,7}:{(30,1),(31,1),(95,1),(99,1),(101,1),(102,1),(113,1),(210,1),(228,1)}
        61:{2,3,6}:{(31,1),(96,1),(102,1),(342,1),(430,1)}
        62:{1,3,5}:{(32,1),(33,1),(35,1),(87,1),(104,1)}
        63:{1,3,7}:{(32,1),(34,1),(36,1),(88,1)}
        64:{1,2,5,6}:{(33,1),(37,1),(89,1),(103,1),(106,1),(107,1),(109,1),(239,1),(322,1),(329,1),(336,1),(352,1),(421,1),(428,1),(430,1),(497,1)}
        65:{1,2,4,5}:{(33,1),(38,1),(90,1),(104,1),(106,1),(108,1),(127,1),(205,1),(212,1),(216,1),(237,1),(320,1),(329,1),(335,1),(428,1),(433,1),(480,1),(495,1)}
        66:{1,2,5,7}:{(33,1),(34,1),(39,1),(91,1),(105,1),(109,1),(429,1)}
        67:{2,3,5,6}:{(35,1),(37,1),(103,1),(110,1),(111,1),(114,1),(116,1),(218,1),(221,1),(228,1),(238,1),(329,1),(342,1),(343,1),(421,1),(430,1),(484,1),(489,1),(529,1),(546,1),(547,1)}
        68:{2,4}:{(35,1),(104,1),(112,1)}
        69:{2,3,5,7}:{(35,1),(36,1),(39,1),(105,1),(113,1),(114,1),(120,1),(228,1)}
        70:{2,4,6}:{(37,1),(38,1),(40,1),(116,1),(117,1)}
        71:{2,5,7}:{(37,1),(41,1),(117,1),(118,1),(356,1)}
        72:{3,5}:{(38,1),(112,1),(116,1)}
        73:{2,4,5,7}:{(38,1),(39,1),(43,1),(113,1),(117,1),(120,1),(121,1),(228,1),(236,1),(348,1),(357,1)}
        74:{2,6}:{(39,1),(44,1)}
        75:{1,4,5,6}:{(40,1),(45,1),(115,1),(122,1),(123,1),(128,1),(212,1),(239,1),(331,1),(349,1),(501,1)}
        76:{1,3,4,6}:{(40,1),(42,1),(46,1),(116,1),(122,1),(124,1),(125,1),(229,1),(233,1),(349,1),(442,1)}
        77:{1,4,7}:{(40,1),(41,1),(47,1),(117,1),(357,1)}
        78:{1,3,6,7}:{(41,1),(44,1),(48,1),(118,1),(126,1),(235,1),(358,1)}
        79:{2,4,5}:{(42,1),(119,1),(124,1),(127,1),(216,1),(237,1),(329,1)}
        80:{1,4,6}:{(43,1),(44,1),(50,1),(121,1),(128,1)}
        81:{3,5,6}:{(45,1),(46,1),(129,1),(304,1),(411,1),(442,1)}
        82:{2,4,5,7}:{(45,1),(47,1),(123,1),(129,1),(130,1),(132,1),(240,1),(245,1),(443,1),(505,1),(536,1)}
        83:{3,4,7}:{(46,1),(47,1),(129,1),(536,1)}
        84:{2,4,6,7}:{(47,1),(48,1),(50,1),(126,1),(131,1),(132,1)}
        85:{3,4,6}:{(49,1),(50,1),(133,1),(411,1),(487,1)}
        86:{2,5,6}:{(50,1),(128,1),(132,1),(133,1),(311,1)}
        87:{2,3,5}:{(51,1),(52,1),(62,1),(135,1),(139,1)}
        88:{2,3,7}:{(51,1),(53,1),(63,1),(256,1)}
        89:{2,5,6}:{(52,1),(54,1),(137,1),(138,1),(141,1),(375,1)}
        90:{2,4,5}:{(52,1),(55,1),(135,1),(137,1),(139,1)}
        91:{2,5,7}:{(52,1),(53,1),(56,1),(141,1)}
        92:{1,4,6}:{(54,1),(55,1),(57,1),(137,1),(144,1),(378,1)}
        93:{1,3,5,7}:{(54,1),(58,1),(138,1),(144,1),(145,1),(256,1),(266,1),(376,1),(377,1),(379,1)}
        94:{1,3,4,5}:{(55,1),(59,1),(139,1),(143,1),(146,1),(156,1),(258,1),(271,1),(359,1),(448,1),(506,1)}
        95:{1,4,5,7}:{(55,1),(56,1),(60,1),(140,1),(144,1),(147,1),(157,1),(266,1),(277,1)}
        96:{1,3,6}:{(56,1),(61,1),(141,1),(147,1),(259,1),(467,1)}
        97:{2,4,5,6}:{(57,1),(142,1),(148,1),(149,1),(153,1),(163,1),(261,1),(270,1),(284,1),(458,1),(539,1),(551,1)}
        98:{3,4,6}:{(57,1),(59,1),(148,1),(150,1),(551,1)}
        99:{2,4,7}:{(57,1),(58,1),(144,1),(150,1)}
       100:{2,3,6,7}:{(58,1),(61,1),(145,1),(151,1),(267,1),(380,1)}
       101:{3,4,5,7}:{(59,1),(60,1),(150,1),(152,1),(168,1),(269,1),(283,1),(290,1),(399,1)}
       102:{2,4,6}:{(60,1),(61,1),(147,1),(152,1),(153,1)}
       103:{1,3,5,6}:{(62,1),(64,1),(67,1),(134,1),(154,1),(155,1),(158,1),(159,1),(271,1),(277,1),(278,1),(382,1),(384,1),(385,1),(465,1),(467,1),(518,1),(542,1)}
       104:{1,4}:{(62,1),(68,1),(135,1)}
       105:{1,3,5,7}:{(62,1),(63,1),(66,1),(69,1),(136,1),(157,1),(158,1),(277,1)}
       106:{1,2,4,6}:{(64,1),(65,1),(70,1),(137,1),(154,1),(159,1),(160,1),(181,1),(264,1),(273,1),(297,1),(375,1),(400,1),(458,1)}
       107:{1,2,5,7}:{(64,1),(71,1),(138,1),(155,1),(160,1),(161,1),(301,1),(379,1),(383,1),(389,1),(404,1),(462,1)}
       108:{1,3,5}:{(65,1),(72,1),(139,1),(156,1),(159,1),(162,1),(388,1),(469,1),(506,1)}
       109:{1,2,6}:{(66,1),(74,1),(141,1),(158,1),(467,1)}
       110:{2,4,6}:{(67,1),(68,1),(154,1),(163,1),(164,1),(165,1),(300,1),(511,1),(551,1)}
       111:{2,3,5,7}:{(67,1),(71,1),(155,1),(165,1),(166,1),(173,1),(279,1),(283,1),(288,1),(299,1),(383,1),(462,1),(514,1),(541,1)}
       112:{3,4}:{(68,1),(72,1)}
       113:{2,4,7}:{(68,1),(69,1),(157,1),(168,1),(169,1)}
       114:{2,3,6}:{(69,1),(74,1),(158,1),(169,1),(176,1)}
       115:{2,4,5,6}:{(70,1),(75,1),(163,1),(170,1),(171,1),(177,1),(178,1),(284,1),(291,1),(300,1),(472,1),(473,1)}
       116:{3,6}:{(70,1),(72,1),(173,1)}
       117:{2,4,7}:{(70,1),(71,1),(77,1),(173,1)}
       118:{2,6,7}:{(71,1),(74,1),(78,1)}
       119:{2,3,5}:{(72,1),(79,1),(167,1),(172,1),(175,1),(469,1)}
       120:{3,5,7}:{(72,1),(73,1),(168,1),(173,1),(176,1),(290,1)}
       121:{2,4,6}:{(73,1),(74,1),(80,1),(176,1),(177,1),(300,1)}
       122:{1,3,5,6}:{(75,1),(76,1),(81,1),(170,1),(178,1),(179,1),(271,1),(384,1)}
       123:{1,4,5,7}:{(75,1),(77,1),(82,1),(171,1),(179,1),(180,1),(183,1),(301,1),(401,1),(479,1)}
       124:{2,4,6}:{(76,1),(79,1),(172,1),(178,1),(181,1),(182,1),(297,1)}
       125:{1,3,4,7}:{(76,1),(77,1),(83,1),(173,1),(179,1),(182,1),(292,1),(298,1),(401,1),(477,1)}
       126:{1,4,6,7}:{(77,1),(78,1),(80,1),(84,1),(174,1),(183,1)}
       127:{1,4,5}:{(79,1),(175,1),(181,1),(276,1),(382,1)}
       128:{1,5,6}:{(80,1),(86,1),(177,1),(183,1),(277,1)}
       129:{3,5,7}:{(81,1),(82,1),(83,1),(184,1),(477,1)}
       130:{2,4,6,7}:{(82,1),(180,1),(184,1),(185,1),(302,1),(303,1),(362,1)}
       131:{3,4,6,7}:{(83,1),(84,1),(85,1),(184,1),(186,1),(303,1)}
       132:{2,5,7}:{(84,1),(86,1),(183,1),(186,1)}
       133:{3,5,6}:{(85,1),(86,1),(186,1),(187,1),(368,1)}
       134:{2,3,5,6}:{(87,1),(89,1),(103,1),(188,1),(189,1),(192,1),(194,1),(218,1),(304,1),(311,1),(321,1),(329,1),(352,1),(411,1),(412,1),(430,1),(437,1),(442,1),(503,1),(534,1),(535,1)}
       135:{2,4}:{(87,1),(104,1),(190,1)}
       136:{2,3,5,7}:{(87,1),(88,1),(91,1),(105,1),(191,1),(192,1),(198,1),(311,1)}
       137:{2,4,6}:{(89,1),(90,1),(92,1),(194,1),(195,1)}
       138:{2,5,7}:{(89,1),(93,1),(195,1),(196,1),(425,1)}
       139:{3,5}:{(90,1),(190,1),(194,1)}
       140:{2,4,5,7}:{(90,1),(91,1),(95,1),(191,1),(195,1),(198,1),(199,1),(311,1),(319,1),(417,1),(426,1)}
       141:{2,6}:{(91,1),(96,1)}
       142:{1,4,5,6}:{(92,1),(97,1),(193,1),(200,1),(201,1),(206,1),(212,1),(322,1),(331,1),(418,1),(527,1)}
       143:{1,3,4,6}:{(92,1),(94,1),(98,1),(194,1),(200,1),(202,1),(203,1),(312,1),(316,1),(418,1),(489,1)}
       144:{1,4,7}:{(92,1),(93,1),(99,1),(195,1),(426,1)}
       145:{1,3,6,7}:{(93,1),(96,1),(100,1),(196,1),(204,1),(318,1),(427,1)}
       146:{2,4,5}:{(94,1),(197,1),(202,1),(205,1),(216,1),(320,1),(329,1)}
       147:{1,4,6}:{(95,1),(96,1),(102,1),(199,1),(206,1)}
       148:{3,5,6}:{(97,1),(98,1),(207,1),(221,1),(342,1),(489,1)}
       149:{2,4,5,7}:{(97,1),(99,1),(201,1),(207,1),(208,1),(210,1),(323,1),(328,1),(490,1),(531,1),(548,1)}
       150:{3,4,7}:{(98,1),(99,1),(207,1),(548,1)}
       151:{2,4,6,7}:{(99,1),(100,1),(102,1),(204,1),(209,1),(210,1)}
       152:{3,4,6}:{(101,1),(102,1),(211,1),(342,1),(440,1)}
       153:{2,5,6}:{(102,1),(206,1),(210,1),(211,1),(228,1)}
       154:{1,4,6}:{(103,1),(104,1),(110,1),(188,1),(212,1),(214,1),(495,1)}
       155:{1,3,5,7}:{(103,1),(107,1),(111,1),(189,1),(214,1),(215,1),(219,1),(334,1),(337,1),(429,1)}
       156:{1,3,4}:{(104,1),(108,1),(112,1),(190,1),(216,1),(495,1),(498,1),(524,1)}
       157:{1,4,7}:{(104,1),(105,1),(113,1),(191,1),(217,1)}
       158:{1,3,6}:{(105,1),(109,1),(114,1),(192,1),(217,1)}
       159:{1,3,6}:{(106,1),(108,1),(116,1),(194,1),(218,1),(219,1),(442,1),(489,1)}
       160:{1,2,4,7}:{(106,1),(107,1),(117,1),(195,1),(214,1),(219,1),(243,1),(326,1),(333,1),(356,1),(425,1),(443,1),(490,1)}
       161:{1,2,6,7}:{(107,1),(109,1),(118,1),(196,1),(215,1),(358,1),(427,1),(430,1),(447,1),(494,1),(497,1)}
       162:{2,3,5}:{(108,1),(216,1),(218,1),(220,1),(237,1),(320,1),(329,1),(347,1),(416,1)}
       163:{2,4,5}:{(110,1),(212,1),(221,1),(228,1),(329,1),(348,1),(547,1),(552,1)}
       164:{3,4,6}:{(110,1),(112,1),(116,1),(221,1),(224,1),(342,1),(489,1),(524,1)}
       165:{2,4,7}:{(110,1),(111,1),(214,1),(224,1),(357,1),(548,1)}
       166:{2,3,6,7}:{(111,1),(114,1),(118,1),(215,1),(225,1),(235,1),(342,1),(430,1),(494,1),(529,1),(530,1)}
       167:{2,3,4}:{(112,1),(119,1),(216,1),(226,1),(416,1),(498,1)}
       168:{3,4,7}:{(112,1),(113,1),(120,1),(227,1),(357,1)}
       169:{2,4,6}:{(113,1),(114,1),(217,1),(227,1),(228,1)}
       170:{3,5,6}:{(115,1),(116,1),(221,1),(229,1),(231,1),(342,1)}
       171:{2,4,5,7}:{(115,1),(117,1),(123,1),(231,1),(232,1),(236,1),(240,1),(350,1),(357,1),(445,1),(446,1)}
       172:{2,3,6}:{(116,1),(119,1),(124,1),(233,1),(234,1),(442,1)}
       173:{3,7}:{(116,1),(117,1)}
       174:{2,4,6,7}:{(117,1),(118,1),(121,1),(126,1),(235,1),(236,1),(357,1)}
       175:{1,3,5}:{(119,1),(127,1),(226,1),(233,1),(237,1)}
       176:{3,6}:{(120,1),(121,1)}
       177:{2,5,6}:{(121,1),(128,1),(228,1),(236,1),(238,1)}
       178:{2,5,6}:{(122,1),(124,1),(239,1),(240,1),(329,1),(430,1)}
       179:{1,3,5,7}:{(122,1),(123,1),(125,1),(129,1),(231,1),(240,1),(241,1)}
       180:{1,4,6,7}:{(123,1),(130,1),(232,1),(241,1),(242,1),(331,1),(358,1)}
       181:{1,4,6}:{(124,1),(127,1),(233,1),(239,1),(243,1)}
       182:{2,4,7}:{(124,1),(125,1),(234,1),(240,1),(243,1),(356,1)}
       183:{1,5,7}:{(126,1),(128,1),(132,1),(236,1)}
       184:{3,6,7}:{(129,1),(130,1),(411,1)}
       185:{2,5,6,7}:{(130,1),(132,1),(242,1),(244,1),(412,1),(505,1)}
       186:{3,5,7}:{(131,1),(132,1),(133,1),(245,1)}
       187:{4,5,6}:{(133,1),(245,1),(417,1),(487,1)}
       188:{2,4,6}:{(134,1),(135,1),(154,1),(246,1),(247,1),(248,1),(378,1),(474,1),(544,1)}
       189:{2,3,5,7}:{(134,1),(138,1),(155,1),(248,1),(249,1),(256,1),(279,1),(361,1),(366,1),(377,1),(383,1),(404,1),(477,1),(523,1)}
       190:{3,4}:{(135,1),(139,1)}
       191:{2,4,7}:{(135,1),(136,1),(157,1),(251,1),(252,1)}
       192:{2,3,6}:{(136,1),(141,1),(158,1),(252,1),(259,1)}
       193:{2,4,5,6}:{(137,1),(142,1),(246,1),(253,1),(254,1),(260,1),(261,1),(362,1),(369,1),(378,1),(509,1),(510,1)}
       194:{3,6}:{(137,1),(139,1),(256,1)}
       195:{2,4,7}:{(137,1),(138,1),(144,1),(256,1)}
       196:{2,6,7}:{(138,1),(141,1),(145,1)}
       197:{2,3,5}:{(139,1),(146,1),(250,1),(255,1),(258,1),(506,1)}
       198:{3,5,7}:{(139,1),(140,1),(251,1),(256,1),(259,1),(368,1)}
       199:{2,4,6}:{(140,1),(141,1),(147,1),(259,1),(260,1),(378,1)}
       200:{1,3,5,6}:{(142,1),(143,1),(148,1),(253,1),(261,1),(262,1),(271,1),(384,1)}
       201:{1,4,5,7}:{(142,1),(144,1),(149,1),(254,1),(262,1),(263,1),(266,1),(379,1),(459,1),(516,1)}
       202:{2,4,6}:{(143,1),(146,1),(255,1),(261,1),(264,1),(265,1),(375,1)}
       203:{1,3,4,7}:{(143,1),(144,1),(150,1),(256,1),(262,1),(265,1),(370,1),(376,1),(459,1),(514,1)}
       204:{1,4,6,7}:{(144,1),(145,1),(147,1),(151,1),(257,1),(266,1)}
       205:{1,4,5}:{(146,1),(258,1),(264,1),(276,1),(382,1)}
       206:{1,5,6}:{(147,1),(153,1),(260,1),(266,1),(277,1)}
       207:{3,5,7}:{(148,1),(149,1),(150,1),(267,1),(514,1)}
       208:{2,4,6,7}:{(149,1),(263,1),(267,1),(268,1),(284,1),(380,1),(381,1)}
       209:{3,4,6,7}:{(150,1),(151,1),(152,1),(267,1),(269,1),(381,1)}
       210:{2,5,7}:{(151,1),(153,1),(266,1),(269,1)}
       211:{3,5,6}:{(152,1),(153,1),(269,1),(270,1),(290,1)}
       212:{1,4,5}:{(154,1),(163,1),(246,1),(271,1),(277,1),(382,1),(542,1)}
       213:{1,3,4,6}:{(154,1),(156,1),(159,1),(164,1),(247,1),(271,1),(273,1),(274,1),(384,1)}
       214:{1,4,7}:{(154,1),(155,1),(165,1),(248,1)}
       215:{1,3,6,7}:{(155,1),(158,1),(161,1),(166,1),(249,1),(275,1),(384,1),(467,1),(518,1)}
       216:{2,4}:{(156,1),(162,1),(276,1)}
       217:{1,4,6}:{(157,1),(158,1),(169,1),(252,1),(277,1)}
       218:{2,3,6}:{(159,1),(162,1),(273,1),(278,1),(279,1),(297,1),(375,1)}
       219:{1,3,7}:{(159,1),(160,1),(173,1),(256,1),(279,1),(477,1),(514,1)}
       220:{1,3,5}:{(162,1),(276,1),(278,1),(280,1),(382,1),(388,1)}
       221:{3,5}:{(163,1),(164,1)}
       222:{2,4,5,7}:{(163,1),(165,1),(272,1),(283,1),(284,1),(288,1),(383,1),(399,1)}
       223:{2,3,4,6}:{(164,1),(167,1),(172,1),(273,1),(282,1),(285,1),(286,1),(291,1),(395,1),(455,1),(511,1),(540,1)}
       224:{3,4,7}:{(164,1),(165,1),(173,1),(283,1),(514,1)}
       225:{2,4,6,7}:{(165,1),(166,1),(169,1),(275,1),(284,1),(287,1),(288,1),(540,1)}
       226:{1,3,4}:{(167,1),(175,1),(276,1),(289,1),(388,1)}
       227:{3,4,6}:{(168,1),(169,1),(176,1),(290,1),(300,1)}
       228:{2,5}:{(169,1),(277,1),(290,1)}
       229:{3,4,6}:{(170,1),(281,1),(291,1),(292,1),(300,1)}
       230:{2,3,5,6}:{(170,1),(172,1),(178,1),(282,1),(291,1),(293,1),(294,1),(395,1),(472,1)}
       231:{3,5,7}:{(170,1),(171,1),(173,1),(292,1),(295,1)}
       232:{2,4,6,7}:{(171,1),(180,1),(284,1),(295,1),(296,1),(302,1),(406,1)}
       233:{1,3,6}:{(172,1),(175,1),(181,1),(297,1),(298,1)}
       234:{2,3,7}:{(172,1),(173,1),(182,1),(298,1),(477,1)}
       235:{3,6,7}:{(173,1),(174,1),(176,1),(299,1)}
       236:{2,5,7}:{(174,1),(177,1),(183,1),(299,1)}
       237:{2,5}:{(175,1),(289,1),(297,1)}
       238:{3,5,6}:{(176,1),(177,1),(290,1),(299,1),(300,1)}
       239:{1,5,6}:{(178,1),(181,1),(301,1),(382,1),(467,1)}
       240:{2,5,7}:{(178,1),(179,1),(182,1),(301,1),(302,1)}
       241:{1,3,6,7}:{(179,1),(180,1),(184,1),(295,1),(302,1),(384,1)}
       242:{1,5,6,7}:{(180,1),(183,1),(185,1),(296,1),(385,1),(479,1)}
       243:{1,4,7}:{(181,1),(182,1),(298,1),(301,1)}
       244:{3,5,6,7}:{(184,1),(185,1),(186,1),(303,1),(454,1),(523,1)}
       245:{4,5,7}:{(186,1),(187,1),(303,1)}
       246:{2,4,5}:{(188,1),(212,1),(304,1),(311,1),(329,1),(417,1),(535,1),(549,1)}
       247:{3,4,6}:{(188,1),(190,1),(194,1),(304,1),(307,1),(411,1),(442,1),(498,1)}
       248:{2,4,7}:{(188,1),(189,1),(214,1),(307,1),(426,1),(536,1)}
       249:{2,3,6,7}:{(189,1),(192,1),(196,1),(215,1),(308,1),(318,1),(411,1),(430,1),(447,1),(503,1),(504,1)}
       250:{2,3,4}:{(190,1),(197,1),(216,1),(309,1),(347,1),(524,1)}
       251:{3,4,7}:{(190,1),(191,1),(198,1),(310,1),(426,1)}
       252:{2,4,6}:{(191,1),(192,1),(217,1),(310,1),(311,1)}
       253:{3,5,6}:{(193,1),(194,1),(304,1),(312,1),(314,1),(411,1)}
       254:{2,4,5,7}:{(193,1),(195,1),(201,1),(314,1),(315,1),(319,1),(323,1),(419,1),(426,1),(492,1),(493,1)}
       255:{2,3,6}:{(194,1),(197,1),(202,1),(316,1),(317,1),(489,1)}
       256:{3,7}:{(194,1),(195,1)}
       257:{2,4,6,7}:{(195,1),(196,1),(199,1),(204,1),(318,1),(319,1),(426,1)}
       258:{1,3,5}:{(197,1),(205,1),(309,1),(316,1),(320,1)}
       259:{3,6}:{(198,1),(199,1)}
       260:{2,5,6}:{(199,1),(206,1),(311,1),(319,1),(321,1)}
       261:{2,5,6}:{(200,1),(202,1),(322,1),(323,1),(329,1),(430,1)}
       262:{1,3,5,7}:{(200,1),(201,1),(203,1),(207,1),(314,1),(323,1),(324,1)}
       263:{1,4,6,7}:{(201,1),(208,1),(315,1),(324,1),(325,1),(331,1),(427,1)}
       264:{1,4,6}:{(202,1),(205,1),(316,1),(322,1),(326,1)}
       265:{2,4,7}:{(202,1),(203,1),(317,1),(323,1),(326,1),(425,1)}
       266:{1,5,7}:{(204,1),(206,1),(210,1),(319,1)}
       267:{3,6,7}:{(207,1),(208,1),(342,1)}
       268:{2,5,6,7}:{(208,1),(210,1),(325,1),(327,1),(343,1),(531,1)}
       269:{3,5,7}:{(209,1),(210,1),(211,1),(328,1)}
       270:{4,5,6}:{(211,1),(328,1),(348,1),(440,1)}
       271:{1,3,5}:{(212,1),(213,1),(221,1),(304,1),(329,1)}
       272:{1,4,5,7}:{(212,1),(214,1),(222,1),(305,1),(330,1),(331,1),(334,1),(429,1)}
       273:{2,4,6}:{(213,1),(216,1),(218,1),(329,1),(332,1),(333,1),(430,1)}
       274:{1,3,4,7}:{(213,1),(214,1),(219,1),(224,1),(307,1),(330,1),(333,1)}
       275:{1,4,6,7}:{(214,1),(215,1),(217,1),(225,1),(308,1),(331,1),(334,1),(532,1)}
       276:{1,4}:{(216,1),(220,1)}
       277:{1,5}:{(217,1),(228,1),(311,1)}
       278:{1,3,6}:{(218,1),(220,1),(332,1),(336,1),(337,1)}
       279:{2,3,7}:{(218,1),(219,1),(333,1),(337,1),(356,1),(425,1)}
       280:{1,2,5}:{(220,1),(237,1),(320,1),(335,1),(336,1)}
       281:{3,4,5}:{(221,1),(229,1),(338,1),(348,1),(524,1)}
       282:{2,3,5}:{(221,1),(223,1),(329,1),(338,1),(340,1),(547,1)}
       283:{3,5,7}:{(221,1),(222,1),(224,1),(342,1)}
       284:{2,4,6}:{(222,1),(331,1),(342,1),(343,1),(430,1),(440,1)}
       285:{1,3,4,6}:{(223,1),(226,1),(233,1),(332,1),(340,1),(344,1),(345,1),(349,1),(431,1),(439,1),(442,1),(495,1),(498,1),(532,1),(533,1)}
       286:{2,3,4,7}:{(223,1),(224,1),(234,1),(333,1),(341,1),(345,1),(350,1),(488,1),(528,1)}
       287:{3,4,6,7}:{(224,1),(225,1),(227,1),(235,1),(342,1),(346,1),(357,1),(440,1),(530,1),(545,1),(548,1)}
       288:{2,5,7}:{(225,1),(228,1),(334,1),(343,1),(346,1),(547,1)}
       289:{2,4}:{(226,1),(237,1),(347,1)}
       290:{3,5}:{(227,1),(228,1),(348,1)}
       291:{2,4,6}:{(229,1),(230,1),(338,1),(349,1),(350,1)}
       292:{3,4,7}:{(229,1),(231,1),(350,1),(357,1)}
       293:{1,3,5,6}:{(230,1),(233,1),(239,1),(340,1),(349,1),(352,1),(353,1),(439,1),(442,1),(501,1),(534,1)}
       294:{2,3,5,7}:{(230,1),(231,1),(234,1),(240,1),(350,1),(353,1),(354,1),(445,1)}
       295:{3,6,7}:{(231,1),(232,1),(342,1)}
       296:{2,5,6,7}:{(232,1),(236,1),(242,1),(343,1),(355,1),(445,1)}
       297:{2,6}:{(233,1),(237,1),(356,1)}
       298:{1,3,7}:{(233,1),(234,1),(243,1),(356,1)}
       299:{3,5,7}:{(235,1),(236,1),(238,1),(357,1)}
       300:{4,6}:{(238,1),(348,1),(357,1)}
       301:{1,5,7}:{(239,1),(240,1),(243,1),(358,1)}
       302:{2,6,7}:{(240,1),(241,1),(358,1),(430,1)}
       303:{4,6,7}:{(244,1),(245,1),(487,1),(536,1)}
       304:{3,5}:{(246,1),(247,1)}
       305:{2,4,5,7}:{(246,1),(248,1),(272,1),(361,1),(362,1),(366,1),(383,1),(457,1)}
       306:{2,3,4,6}:{(247,1),(250,1),(255,1),(273,1),(360,1),(363,1),(364,1),(369,1),(397,1),(453,1),(474,1),(522,1)}
       307:{3,4,7}:{(247,1),(248,1),(256,1),(361,1),(477,1)}
       308:{2,4,6,7}:{(248,1),(249,1),(252,1),(275,1),(362,1),(365,1),(366,1),(522,1)}
       309:{1,3,4}:{(250,1),(258,1),(276,1),(367,1),(388,1)}
       310:{3,4,6}:{(251,1),(252,1),(259,1),(368,1),(378,1)}
       311:{2,5}:{(252,1),(277,1),(368,1)}
       312:{3,4,6}:{(253,1),(359,1),(369,1),(370,1),(378,1)}
       313:{2,3,5,6}:{(253,1),(255,1),(261,1),(360,1),(369,1),(371,1),(372,1),(453,1),(509,1)}
       314:{3,5,7}:{(253,1),(254,1),(256,1),(370,1),(373,1)}
       315:{2,4,6,7}:{(254,1),(263,1),(362,1),(373,1),(374,1),(380,1),(464,1)}
       316:{1,3,6}:{(255,1),(258,1),(264,1),(375,1),(376,1)}
       317:{2,3,7}:{(255,1),(256,1),(265,1),(376,1),(514,1)}
       318:{3,6,7}:{(256,1),(257,1),(259,1),(377,1)}
       319:{2,5,7}:{(257,1),(260,1),(266,1),(377,1)}
       320:{2,5}:{(258,1),(367,1),(375,1)}
       321:{3,5,6}:{(259,1),(260,1),(368,1),(377,1),(378,1)}
       322:{1,5,6}:{(261,1),(264,1),(379,1),(382,1),(467,1)}
       323:{2,5,7}:{(261,1),(262,1),(265,1),(379,1),(380,1)}
       324:{1,3,6,7}:{(262,1),(263,1),(267,1),(373,1),(380,1),(384,1)}
       325:{1,5,6,7}:{(263,1),(266,1),(268,1),(374,1),(385,1),(516,1)}
       326:{1,4,7}:{(264,1),(265,1),(376,1),(379,1)}
       327:{3,5,6,7}:{(267,1),(268,1),(269,1),(381,1),(396,1),(541,1)}
       328:{4,5,7}:{(269,1),(270,1),(381,1)}
       329:{2,5}:{(271,1),(273,1),(382,1)}
       330:{1,3,5,7}:{(271,1),(272,1),(274,1),(283,1),(361,1),(383,1),(384,1)}
       331:{1,4,6}:{(272,1),(284,1),(362,1),(384,1),(385,1),(467,1)}
       332:{1,4,6}:{(273,1),(276,1),(278,1),(382,1),(387,1),(467,1)}
       333:{2,4,7}:{(273,1),(274,1),(279,1),(383,1),(387,1)}
       334:{1,5,7}:{(275,1),(277,1),(288,1),(366,1),(385,1),(542,1)}
       335:{1,2,4}:{(276,1),(280,1),(289,1),(367,1),(388,1)}
       336:{1,2,6}:{(278,1),(280,1),(297,1),(375,1),(389,1)}
       337:{1,3,7}:{(278,1),(279,1),(387,1),(389,1)}
       338:{2,4,5}:{(281,1),(282,1),(291,1),(390,1),(511,1)}
       339:{3,4,5,7}:{(281,1),(283,1),(292,1),(391,1),(392,1),(399,1),(403,1),(537,1),(550,1)}
       340:{1,3,5}:{(282,1),(285,1),(382,1),(390,1),(393,1),(469,1),(542,1),(543,1)}
       341:{2,3,5,7}:{(282,1),(283,1),(286,1),(383,1),(391,1),(394,1),(395,1)}
       342:{3,6}:{(283,1),(284,1)}
       343:{2,5,6}:{(284,1),(288,1),(385,1),(396,1)}
       344:{2,4,6}:{(285,1),(289,1),(297,1),(393,1),(397,1),(398,1),(474,1),(476,1)}
       345:{1,3,4,7}:{(285,1),(286,1),(298,1),(387,1),(394,1),(398,1),(401,1),(468,1),(477,1),(517,1),(519,1)}
       346:{3,5,7}:{(287,1),(288,1),(290,1),(396,1),(399,1),(550,1)}
       347:{2,3}:{(289,1),(388,1)}
       348:{4,5}:{(290,1),(300,1)}
       349:{1,4,6}:{(291,1),(293,1),(390,1),(400,1),(401,1),(544,1)}
       350:{2,4,7}:{(291,1),(292,1),(294,1),(401,1)}
       351:{3,4,6,7}:{(292,1),(295,1),(392,1),(402,1),(403,1),(406,1)}
       352:{2,5,6}:{(293,1),(297,1),(393,1),(400,1),(404,1),(476,1)}
       353:{1,3,5,7}:{(293,1),(294,1),(298,1),(301,1),(401,1),(404,1),(405,1),(477,1),(479,1),(523,1)}
       354:{2,3,6,7}:{(294,1),(295,1),(302,1),(395,1),(402,1),(405,1)}
       355:{3,5,6,7}:{(295,1),(296,1),(299,1),(396,1),(403,1),(406,1)}
       356:{2,7}:{(297,1),(298,1)}
       357:{4,7}:{(299,1),(300,1)}
       358:{1,6,7}:{(301,1),(302,1),(467,1)}
       359:{3,4,5}:{(304,1),(312,1),(407,1),(417,1),(498,1)}
       360:{2,3,5}:{(304,1),(306,1),(329,1),(407,1),(409,1),(535,1)}
       361:{3,5,7}:{(304,1),(305,1),(307,1),(411,1)}
       362:{2,4,6}:{(305,1),(331,1),(411,1),(412,1),(430,1),(487,1)}
       363:{1,3,4,6}:{(306,1),(309,1),(316,1),(332,1),(409,1),(413,1),(414,1),(418,1),(431,1),(486,1),(489,1),(495,1),(524,1),(532,1),(545,1)}
       364:{2,3,4,7}:{(306,1),(307,1),(317,1),(333,1),(410,1),(414,1),(419,1),(441,1),(502,1)}
       365:{3,4,6,7}:{(307,1),(308,1),(310,1),(318,1),(411,1),(415,1),(426,1),(487,1),(504,1),(533,1),(536,1)}
       366:{2,5,7}:{(308,1),(311,1),(334,1),(412,1),(415,1),(535,1)}
       367:{2,4}:{(309,1),(320,1),(416,1)}
       368:{3,5}:{(310,1),(311,1),(417,1)}
       369:{2,4,6}:{(312,1),(313,1),(407,1),(418,1),(419,1)}
       370:{3,4,7}:{(312,1),(314,1),(419,1),(426,1)}
       371:{1,3,5,6}:{(313,1),(316,1),(322,1),(409,1),(418,1),(421,1),(422,1),(486,1),(489,1),(527,1),(546,1)}
       372:{2,3,5,7}:{(313,1),(314,1),(317,1),(323,1),(419,1),(422,1),(423,1),(492,1)}
       373:{3,6,7}:{(314,1),(315,1),(411,1)}
       374:{2,5,6,7}:{(315,1),(319,1),(325,1),(412,1),(424,1),(492,1)}
       375:{2,6}:{(316,1),(320,1),(425,1)}
       376:{1,3,7}:{(316,1),(317,1),(326,1),(425,1)}
       377:{3,5,7}:{(318,1),(319,1),(321,1),(426,1)}
       378:{4,6}:{(321,1),(417,1),(426,1)}
       379:{1,5,7}:{(322,1),(323,1),(326,1),(427,1)}
       380:{2,6,7}:{(323,1),(324,1),(427,1),(430,1)}
       381:{4,6,7}:{(327,1),(328,1),(440,1),(548,1)}
       382:{1,5}:{(329,1),(332,1)}
       383:{2,5,7}:{(329,1),(330,1),(333,1),(429,1),(430,1)}
       384:{1,3,6}:{(330,1),(331,1),(342,1),(411,1),(430,1)}
       385:{1,5,6}:{(331,1),(334,1),(343,1),(412,1)}
       386:{1,2,4,6}:{(332,1),(335,1),(336,1),(344,1),(413,1),(428,1),(431,1),(432,1),(495,1),(497,1),(532,1)}
       387:{1,4,7}:{(332,1),(333,1),(337,1),(429,1)}
       388:{1,3}:{(335,1),(347,1),(416,1)}
       389:{1,2,7}:{(336,1),(337,1),(356,1),(425,1)}
       390:{1,4,5}:{(338,1),(340,1),(349,1),(433,1),(495,1),(549,1)}
       391:{2,4,5,7}:{(338,1),(339,1),(341,1),(350,1),(434,1),(435,1),(445,1),(528,1),(547,1)}
       392:{3,4,6}:{(339,1),(342,1),(435,1),(436,1),(440,1)}
       393:{2,5}:{(340,1),(344,1)}
       394:{1,3,5,7}:{(340,1),(341,1),(345,1),(429,1),(434,1),(438,1),(439,1),(499,1)}
       395:{2,3,6}:{(341,1),(342,1),(430,1),(435,1),(439,1)}
       396:{3,5,6}:{(342,1),(343,1),(346,1),(440,1)}
       397:{2,3,6}:{(344,1),(347,1),(431,1),(437,1),(441,1),(442,1)}
       398:{2,4,7}:{(344,1),(345,1),(356,1),(438,1),(441,1)}
       399:{4,5,7}:{(346,1),(348,1),(357,1),(440,1),(548,1),(552,1)}
       400:{2,4,6}:{(349,1),(352,1),(433,1),(442,1),(443,1)}
       401:{1,4,7}:{(349,1),(350,1),(353,1),(443,1),(536,1)}
       402:{2,4,6,7}:{(350,1),(351,1),(354,1),(435,1),(444,1),(445,1)}
       403:{3,5,7}:{(351,1),(436,1),(445,1),(446,1)}
       404:{2,5,7}:{(352,1),(353,1),(356,1),(443,1),(447,1)}
       405:{1,3,6,7}:{(353,1),(354,1),(358,1),(439,1),(444,1),(447,1),(504,1)}
       406:{4,6,7}:{(355,1),(357,1),(440,1),(446,1)}
       407:{2,4,5}:{(359,1),(360,1),(369,1),(448,1),(474,1)}
       408:{3,4,5,7}:{(359,1),(361,1),(370,1),(449,1),(450,1),(457,1),(461,1),(519,1),(543,1)}
       409:{1,3,5}:{(360,1),(363,1),(382,1),(448,1),(451,1),(506,1),(542,1),(550,1)}
       410:{2,3,5,7}:{(360,1),(361,1),(364,1),(383,1),(449,1),(452,1),(453,1)}
       411:{3,6}:{(361,1),(362,1)}
       412:{2,5,6}:{(362,1),(366,1),(385,1),(454,1)}
       413:{2,4,6}:{(363,1),(367,1),(375,1),(451,1),(455,1),(456,1),(511,1),(513,1)}
       414:{1,3,4,7}:{(363,1),(364,1),(376,1),(387,1),(452,1),(456,1),(459,1),(468,1),(514,1),(517,1),(537,1)}
       415:{3,5,7}:{(365,1),(366,1),(368,1),(454,1),(457,1),(543,1)}
       416:{2,3}:{(367,1),(388,1)}
       417:{4,5}:{(368,1),(378,1)}
       418:{1,4,6}:{(369,1),(371,1),(448,1),(458,1),(459,1),(551,1)}
       419:{2,4,7}:{(369,1),(370,1),(372,1),(459,1)}
       420:{3,4,6,7}:{(370,1),(373,1),(450,1),(460,1),(461,1),(464,1)}
       421:{2,5,6}:{(371,1),(375,1),(451,1),(458,1),(462,1),(513,1)}
       422:{1,3,5,7}:{(371,1),(372,1),(376,1),(379,1),(459,1),(462,1),(463,1),(514,1),(516,1),(541,1)}
       423:{2,3,6,7}:{(372,1),(373,1),(380,1),(453,1),(460,1),(463,1)}
       424:{3,5,6,7}:{(373,1),(374,1),(377,1),(454,1),(461,1),(464,1)}
       425:{2,7}:{(375,1),(376,1)}
       426:{4,7}:{(377,1),(378,1)}
       427:{1,6,7}:{(379,1),(380,1),(467,1)}
       428:{1,2,5}:{(382,1),(386,1),(393,1),(451,1),(465,1),(542,1)}
       429:{1,5,7}:{(382,1),(383,1),(387,1),(467,1)}
       430:{2,6}:{(383,1),(384,1),(467,1)}
       431:{1,3,6}:{(386,1),(388,1),(397,1),(455,1),(465,1),(468,1)}
       432:{1,2,4,7}:{(386,1),(387,1),(389,1),(398,1),(456,1),(466,1),(468,1),(517,1)}
       433:{2,4,5}:{(390,1),(393,1),(400,1),(469,1),(474,1)}
       434:{1,4,5,7}:{(390,1),(391,1),(394,1),(401,1),(470,1),(471,1),(479,1),(517,1),(542,1)}
       435:{2,4,6}:{(391,1),(392,1),(395,1),(471,1),(472,1)}
       436:{3,5,6}:{(392,1),(403,1),(472,1),(473,1),(550,1)}
       437:{2,3,5}:{(393,1),(397,1),(465,1),(469,1),(474,1)}
       438:{2,5,7}:{(393,1),(394,1),(398,1),(476,1)}
       439:{1,3,6}:{(394,1),(395,1),(467,1),(471,1),(476,1),(520,1)}
       440:{4,6}:{(396,1),(399,1)}
       441:{2,3,7}:{(397,1),(398,1),(468,1),(477,1)}
       442:{3,6}:{(400,1),(469,1),(477,1)}
       443:{2,4,7}:{(400,1),(401,1),(404,1),(477,1)}
       444:{1,4,6,7}:{(401,1),(402,1),(405,1),(471,1),(478,1),(479,1)}
       445:{2,5,7}:{(402,1),(403,1),(472,1),(479,1)}
       446:{4,5,7}:{(403,1),(406,1),(473,1)}
       447:{2,6,7}:{(404,1),(405,1),(476,1)}
       448:{1,4,5}:{(407,1),(409,1),(418,1),(480,1),(495,1),(552,1)}
       449:{2,4,5,7}:{(407,1),(408,1),(410,1),(419,1),(481,1),(482,1),(492,1),(502,1),(535,1)}
       450:{3,4,6}:{(408,1),(411,1),(482,1),(483,1),(487,1)}
       451:{2,5}:{(409,1),(413,1)}
       452:{1,3,5,7}:{(409,1),(410,1),(414,1),(429,1),(481,1),(485,1),(486,1),(525,1)}
       453:{2,3,6}:{(410,1),(411,1),(430,1),(482,1),(486,1)}
       454:{3,5,6}:{(411,1),(412,1),(415,1),(487,1)}
       455:{2,3,6}:{(413,1),(416,1),(431,1),(484,1),(488,1),(489,1)}
       456:{2,4,7}:{(413,1),(414,1),(425,1),(485,1),(488,1)}
       457:{4,5,7}:{(415,1),(417,1),(426,1),(487,1),(536,1),(549,1)}
       458:{2,4,6}:{(418,1),(421,1),(480,1),(489,1),(490,1)}
       459:{1,4,7}:{(418,1),(419,1),(422,1),(490,1),(548,1)}
       460:{2,4,6,7}:{(419,1),(420,1),(423,1),(482,1),(491,1),(492,1)}
       461:{3,5,7}:{(420,1),(483,1),(492,1),(493,1)}
       462:{2,5,7}:{(421,1),(422,1),(425,1),(490,1),(494,1)}
       463:{1,3,6,7}:{(422,1),(423,1),(427,1),(486,1),(491,1),(494,1),(530,1)}
       464:{4,6,7}:{(424,1),(426,1),(487,1),(493,1)}
       465:{1,3,5}:{(428,1),(431,1),(437,1),(484,1),(495,1)}
       466:{1,2,5,7}:{(428,1),(429,1),(432,1),(438,1),(485,1),(496,1),(497,1)}
       467:{1,6}:{(429,1),(430,1)}
       468:{1,3,7}:{(431,1),(432,1),(441,1),(488,1)}
       469:{3,5}:{(433,1),(442,1),(498,1)}
       470:{2,4,5,7}:{(433,1),(434,1),(438,1),(443,1),(499,1),(500,1),(502,1),(505,1),(535,1),(536,1),(549,1)}
       471:{1,4,6}:{(434,1),(435,1),(439,1),(500,1),(501,1)}
       472:{2,5,6}:{(435,1),(436,1),(445,1),(501,1),(547,1)}
       473:{4,5,6}:{(436,1),(440,1),(446,1),(552,1)}
       474:{2,4}:{(437,1),(495,1),(498,1)}
       475:{2,3,5,7}:{(437,1),(438,1),(441,1),(496,1),(499,1),(502,1),(503,1),(535,1)}
       476:{2,6}:{(438,1),(439,1)}
       477:{3,7}:{(442,1),(443,1)}
       478:{2,4,6,7}:{(443,1),(444,1),(447,1),(500,1),(504,1),(505,1),(536,1)}
       479:{1,5,7}:{(444,1),(445,1),(501,1),(505,1)}
       480:{2,4,5}:{(448,1),(451,1),(458,1),(506,1),(511,1)}
       481:{1,4,5,7}:{(448,1),(449,1),(452,1),(459,1),(507,1),(508,1),(516,1),(517,1),(542,1)}
       482:{2,4,6}:{(449,1),(450,1),(453,1),(508,1),(509,1)}
       483:{3,5,6}:{(450,1),(461,1),(509,1),(510,1),(543,1)}
       484:{2,3,5}:{(451,1),(455,1),(465,1),(506,1),(511,1)}
       485:{2,5,7}:{(451,1),(452,1),(456,1),(513,1)}
       486:{1,3,6}:{(452,1),(453,1),(467,1),(508,1),(513,1),(538,1)}
       487:{4,6}:{(454,1),(457,1)}
       488:{2,3,7}:{(455,1),(456,1),(468,1),(514,1)}
       489:{3,6}:{(458,1),(506,1),(514,1)}
       490:{2,4,7}:{(458,1),(459,1),(462,1),(514,1)}
       491:{1,4,6,7}:{(459,1),(460,1),(463,1),(508,1),(515,1),(516,1)}
       492:{2,5,7}:{(460,1),(461,1),(509,1),(516,1)}
       493:{4,5,7}:{(461,1),(464,1),(510,1)}
       494:{2,6,7}:{(462,1),(463,1),(513,1)}
       495:{1,4}:{(465,1),(474,1),(511,1)}
       496:{1,3,5,7}:{(465,1),(466,1),(468,1),(475,1),(512,1),(517,1),(518,1),(542,1)}
       497:{1,2,6}:{(466,1),(467,1),(476,1),(513,1),(518,1)}
       498:{3,4}:{(469,1),(474,1)}
       499:{3,5,7}:{(469,1),(470,1),(477,1),(519,1),(520,1),(543,1)}
       500:{2,4,6}:{(470,1),(471,1),(476,1),(520,1),(521,1),(544,1)}
       501:{1,5,6}:{(471,1),(472,1),(479,1),(521,1),(542,1)}
       502:{2,4,7}:{(474,1),(475,1),(517,1),(519,1),(522,1)}
       503:{2,3,6}:{(475,1),(476,1),(518,1),(520,1),(522,1)}
       504:{3,6,7}:{(477,1),(478,1),(520,1),(523,1)}
       505:{2,5,7}:{(478,1),(479,1),(521,1),(523,1)}
       506:{3,5}:{(480,1),(489,1),(524,1)}
       507:{2,4,5,7}:{(480,1),(481,1),(485,1),(490,1),(525,1),(526,1),(528,1),(531,1),(547,1),(548,1),(552,1)}
       508:{1,4,6}:{(481,1),(482,1),(486,1),(526,1),(527,1)}
       509:{2,5,6}:{(482,1),(483,1),(492,1),(527,1),(535,1)}
       510:{4,5,6}:{(483,1),(487,1),(493,1),(549,1)}
       511:{2,4}:{(484,1),(495,1),(524,1)}
       512:{2,3,5,7}:{(484,1),(485,1),(488,1),(496,1),(525,1),(528,1),(529,1),(547,1)}
       513:{2,6}:{(485,1),(486,1)}
       514:{3,7}:{(489,1),(490,1)}
       515:{2,4,6,7}:{(490,1),(491,1),(494,1),(526,1),(530,1),(531,1),(548,1)}
       516:{1,5,7}:{(491,1),(492,1),(527,1),(531,1)}
       517:{1,4,7}:{(495,1),(496,1),(502,1),(528,1),(532,1)}
       518:{1,3,6}:{(496,1),(497,1),(503,1),(529,1),(532,1)}
       519:{3,4,7}:{(498,1),(499,1),(502,1),(533,1),(536,1)}
       520:{3,6}:{(499,1),(500,1)}
       521:{2,5,6}:{(500,1),(501,1),(505,1),(534,1),(535,1)}
       522:{2,4,6}:{(502,1),(503,1),(532,1),(533,1),(535,1)}
       523:{3,5,7}:{(504,1),(505,1),(534,1),(536,1)}
       524:{3,4}:{(506,1),(511,1)}
       525:{3,5,7}:{(506,1),(507,1),(514,1),(537,1),(538,1),(550,1)}
       526:{2,4,6}:{(507,1),(508,1),(513,1),(538,1),(539,1),(551,1)}
       527:{1,5,6}:{(508,1),(509,1),(516,1),(539,1),(542,1)}
       528:{2,4,7}:{(511,1),(512,1),(517,1),(537,1),(540,1)}
       529:{2,3,6}:{(512,1),(513,1),(518,1),(538,1),(540,1)}
       530:{3,6,7}:{(514,1),(515,1),(538,1),(541,1)}
       531:{2,5,7}:{(515,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(522,1),(540,1),(542,1)}
       533:{3,4,6}:{(519,1),(520,1),(522,1),(543,1),(544,1)}
       534:{3,5,6}:{(520,1),(521,1),(523,1),(543,1),(544,1)}
       535:{2,5}:{(522,1),(542,1),(543,1)}
       536:{4,7}:{(523,1),(544,1)}
       537:{3,4,7}:{(524,1),(525,1),(528,1),(545,1),(548,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{2,5,6}:{(526,1),(527,1),(531,1),(546,1),(547,1)}
       540:{2,4,6}:{(528,1),(529,1),(532,1),(545,1),(547,1)}
       541:{3,5,7}:{(530,1),(531,1),(546,1),(548,1)}
       542:{1,5}:{(532,1),(535,1),(547,1)}
       543:{3,5}:{(533,1),(535,1),(549,1)}
       544:{4,6}:{(534,1),(536,1),(549,1)}
       545:{3,4,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       546:{3,5,6}:{(538,1),(539,1),(541,1),(550,1),(551,1)}
       547:{2,5}:{(540,1),(542,1),(550,1)}
       548:{4,7}:{(541,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{3,5}:{(545,1),(547,1),(552,1)}
       551:{4,6}:{(546,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 606 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(50,1),(82,1),(127,1),(273,1),(335,1),(354,1)}
         1:{1,3,4,7}:{(0,1),(5,1),(6,1),(7,1),(32,1),(99,1),(105,1),(118,1),(218,1),(326,1),(399,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(381,1),(397,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(48,1),(85,1),(177,1),(180,1),(212,1),(219,1),(285,1),(306,1)}
         4:{2,3,4,7}:{(11,1),(12,1),(13,1),(15,1),(65,1),(144,1),(264,1),(344,1),(354,1)}
         5:{2,4,7}:{(1,1),(15,1),(16,1),(17,1),(375,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(16,1),(18,1),(19,1),(20,1),(68,1),(437,1)}
         7:{1,3,4,6}:{(1,1),(3,1),(17,1),(19,1),(20,1),(62,1),(76,1),(146,1),(149,1),(153,1),(158,1),(164,1),(266,1),(274,1),(355,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(21,1),(22,1),(25,1),(80,1),(82,1),(127,1),(230,1)}
         9:{2,3,6}:{(2,1),(19,1),(22,1),(421,1),(436,1)}
        10:{2,3,5}:{(3,1),(20,1),(25,1),(230,1),(334,1),(353,1)}
        11:{1,3,4,7}:{(4,1),(26,1),(27,1),(28,1),(32,1),(99,1),(176,1),(189,1),(292,1),(392,1),(399,1)}
        12:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(31,1),(315,1),(397,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(31,1),(36,1),(97,1),(106,1),(109,1),(211,1),(286,1),(293,1),(306,1)}
        14:{1,2,4,7}:{(5,1),(26,1),(32,1),(33,1),(34,1),(99,1),(399,1),(402,1)}
        15:{2,3,7}:{(5,1),(32,1),(36,1),(218,1)}
        16:{2,5,7}:{(5,1),(6,1),(38,1),(39,1)}
        17:{2,4,6}:{(5,1),(7,1),(36,1),(38,1),(39,1),(109,1),(319,1),(327,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(37,1),(40,1),(43,1),(99,1),(116,1),(118,1),(199,1)}
        19:{1,3,6}:{(6,1),(9,1),(38,1),(40,1),(110,1),(469,1)}
        20:{1,3,5}:{(7,1),(10,1),(39,1),(43,1),(115,1),(199,1),(207,1),(398,1)}
        21:{3,4,5,7}:{(8,1),(44,1),(49,1),(121,1),(126,1),(176,1),(281,1),(378,1),(381,1)}
        22:{2,4,6}:{(8,1),(9,1),(40,1),(44,1),(46,1)}
        23:{2,3,6,7}:{(9,1),(41,1),(45,1),(47,1),(227,1),(328,1)}
        24:{2,3,5,6}:{(9,1),(10,1),(42,1),(46,1),(47,1),(48,1),(125,1),(219,1),(223,1)}
        25:{2,4,5}:{(10,1),(43,1),(48,1),(49,1),(180,1)}
        26:{2,4,7}:{(11,1),(50,1),(51,1),(52,1),(434,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(51,1),(53,1),(54,1),(55,1),(130,1),(437,1)}
        28:{1,3,4,6}:{(11,1),(13,1),(52,1),(54,1),(55,1),(62,1),(138,1),(146,1),(149,1),(228,1),(233,1),(239,1),(337,1),(345,1),(355,1)}
        29:{2,4,5,7}:{(12,1),(53,1),(56,1),(57,1),(60,1),(65,1),(142,1),(144,1),(155,1)}
        30:{2,3,6}:{(12,1),(54,1),(57,1),(362,1),(436,1)}
        31:{2,3,5}:{(13,1),(55,1),(60,1),(155,1),(263,1),(353,1)}
        32:{1,3,7}:{(14,1),(15,1),(50,1),(62,1)}
        33:{1,2,5,7}:{(14,1),(16,1),(51,1),(61,1),(63,1),(64,1),(437,1)}
        34:{1,2,4,6}:{(14,1),(17,1),(52,1),(62,1),(63,1),(64,1),(146,1),(149,1),(355,1),(356,1),(358,1)}
        35:{2,3,5,7}:{(15,1),(16,1),(61,1),(65,1),(66,1),(67,1),(68,1),(155,1)}
        36:{2,3,6}:{(15,1),(17,1),(62,1),(67,1),(164,1),(367,1)}
        37:{2,4,5,7}:{(16,1),(18,1),(65,1),(68,1),(69,1),(72,1),(155,1),(161,1),(163,1),(260,1),(268,1)}
        38:{2,6}:{(16,1),(19,1)}
        39:{2,5}:{(17,1),(20,1)}
        40:{1,4,6}:{(18,1),(19,1),(22,1),(69,1),(74,1)}
        41:{1,3,6,7}:{(19,1),(23,1),(70,1),(73,1),(75,1),(159,1),(376,1)}
        42:{1,3,5,6}:{(19,1),(20,1),(24,1),(71,1),(74,1),(75,1),(76,1),(160,1),(164,1),(274,1),(278,1)}
        43:{1,4,5}:{(20,1),(25,1),(72,1),(76,1),(149,1),(260,1)}
        44:{3,4,6}:{(21,1),(22,1),(79,1),(418,1),(421,1)}
        45:{2,4,6,7}:{(22,1),(23,1),(73,1),(78,1),(80,1),(82,1)}
        46:{2,5,6}:{(22,1),(74,1),(79,1),(80,1),(230,1)}
        47:{2,3,5,7}:{(23,1),(24,1),(75,1),(80,1),(82,1),(175,1),(273,1),(277,1)}
        48:{2,4,6}:{(24,1),(25,1),(76,1),(82,1),(83,1)}
        49:{3,4,5}:{(25,1),(83,1),(233,1),(334,1),(549,1)}
        50:{2,3,7}:{(26,1),(32,1),(85,1),(292,1)}
        51:{2,5,7}:{(26,1),(27,1),(87,1),(88,1)}
        52:{2,4,6}:{(26,1),(28,1),(85,1),(87,1),(88,1),(180,1),(385,1),(393,1)}
        53:{1,4,5,7}:{(27,1),(29,1),(86,1),(89,1),(92,1),(99,1),(187,1),(189,1),(199,1)}
        54:{1,3,6}:{(27,1),(30,1),(87,1),(89,1),(181,1),(469,1)}
        55:{1,3,5}:{(28,1),(31,1),(88,1),(92,1),(186,1),(199,1),(281,1),(398,1)}
        56:{3,4,5,7}:{(29,1),(93,1),(98,1),(105,1),(192,1),(197,1),(207,1),(312,1),(315,1)}
        57:{2,4,6}:{(29,1),(30,1),(89,1),(93,1),(95,1)}
        58:{2,3,6,7}:{(30,1),(90,1),(94,1),(96,1),(301,1),(394,1)}
        59:{2,3,5,6}:{(30,1),(31,1),(91,1),(95,1),(96,1),(97,1),(196,1),(293,1),(297,1)}
        60:{2,4,5}:{(31,1),(92,1),(97,1),(98,1),(109,1)}
        61:{1,3,5,7}:{(32,1),(33,1),(35,1),(84,1),(99,1),(100,1),(101,1),(199,1)}
        62:{1,3,6}:{(32,1),(34,1),(36,1),(85,1),(101,1),(401,1)}
        63:{1,2,6}:{(33,1),(38,1),(87,1),(100,1),(469,1)}
        64:{1,2,5}:{(34,1),(39,1),(88,1),(101,1),(199,1),(398,1)}
        65:{2,4,7}:{(35,1),(99,1),(105,1),(106,1),(109,1)}
        66:{2,3,6}:{(35,1),(38,1),(100,1),(106,1),(110,1)}
        67:{2,3,5}:{(36,1),(39,1),(101,1),(109,1),(115,1)}
        68:{3,5,7}:{(37,1),(105,1),(110,1),(115,1),(207,1),(218,1)}
        69:{2,4,6}:{(37,1),(38,1),(40,1),(110,1),(112,1),(214,1)}
        70:{2,6,7}:{(38,1),(41,1),(113,1)}
        71:{2,5,6}:{(38,1),(39,1),(42,1),(113,1),(114,1),(327,1)}
        72:{2,4,5}:{(39,1),(43,1),(109,1),(114,1),(115,1)}
        73:{1,4,6,7}:{(40,1),(41,1),(45,1),(111,1),(116,1),(118,1)}
        74:{1,5,6}:{(40,1),(46,1),(112,1),(116,1),(199,1)}
        75:{1,3,5,7}:{(41,1),(42,1),(47,1),(113,1),(116,1),(118,1),(213,1),(218,1),(326,1),(329,1)}
        76:{1,4,6}:{(42,1),(43,1),(48,1),(114,1),(118,1),(214,1)}
        77:{1,3,4,5}:{(43,1),(49,1),(115,1),(119,1),(120,1),(202,1),(220,1),(304,1),(313,1),(406,1),(476,1)}
        78:{3,4,6,7}:{(44,1),(45,1),(121,1),(126,1),(226,1),(227,1)}
        79:{3,5,6}:{(44,1),(46,1),(121,1),(122,1),(281,1)}
        80:{2,5,7}:{(45,1),(46,1),(116,1),(121,1)}
        81:{2,4,5,6}:{(46,1),(48,1),(117,1),(122,1),(124,1),(125,1),(223,1),(283,1),(380,1),(415,1),(519,1),(543,1)}
        82:{2,4,7}:{(47,1),(48,1),(118,1),(126,1)}
        83:{3,4,6}:{(48,1),(49,1),(125,1),(126,1),(543,1)}
        84:{2,3,5,7}:{(50,1),(51,1),(61,1),(127,1),(128,1),(129,1),(130,1),(230,1)}
        85:{2,3,6}:{(50,1),(52,1),(62,1),(129,1),(239,1),(426,1)}
        86:{2,4,5,7}:{(51,1),(53,1),(127,1),(130,1),(131,1),(134,1),(230,1),(236,1),(238,1),(331,1),(339,1)}
        87:{2,6}:{(51,1),(54,1)}
        88:{2,5}:{(52,1),(55,1)}
        89:{1,4,6}:{(53,1),(54,1),(57,1),(131,1),(136,1)}
        90:{1,3,6,7}:{(54,1),(58,1),(132,1),(135,1),(137,1),(234,1),(435,1)}
        91:{1,3,5,6}:{(54,1),(55,1),(59,1),(133,1),(136,1),(137,1),(138,1),(235,1),(239,1),(345,1),(349,1)}
        92:{1,4,5}:{(55,1),(60,1),(134,1),(138,1),(149,1),(331,1)}
        93:{3,4,6}:{(56,1),(57,1),(141,1),(359,1),(362,1)}
        94:{2,4,6,7}:{(57,1),(58,1),(135,1),(140,1),(142,1),(144,1)}
        95:{2,5,6}:{(57,1),(136,1),(141,1),(142,1),(155,1)}
        96:{2,3,5,7}:{(58,1),(59,1),(137,1),(142,1),(144,1),(250,1),(344,1),(348,1)}
        97:{2,4,6}:{(59,1),(60,1),(138,1),(144,1),(145,1)}
        98:{3,4,5}:{(60,1),(145,1),(158,1),(263,1),(552,1)}
        99:{1,4,7}:{(61,1),(65,1),(127,1),(146,1),(149,1)}
       100:{1,3,6}:{(61,1),(63,1),(66,1),(128,1),(146,1)}
       101:{1,3,5}:{(62,1),(64,1),(67,1),(129,1),(149,1)}
       102:{1,2,6,7}:{(63,1),(70,1),(132,1),(147,1),(150,1),(376,1),(435,1),(436,1),(453,1),(495,1),(496,1)}
       103:{1,2,5,6}:{(63,1),(64,1),(71,1),(133,1),(148,1),(150,1),(151,1),(278,1),(349,1),(353,1),(358,1),(374,1),(433,1),(436,1),(438,1),(496,1)}
       104:{1,2,4,5}:{(64,1),(72,1),(134,1),(149,1),(151,1),(152,1),(171,1),(246,1),(252,1),(255,1),(275,1),(346,1),(353,1),(356,1),(438,1),(444,1),(486,1),(498,1)}
       105:{3,4,7}:{(65,1),(68,1),(153,1),(158,1),(268,1)}
       106:{2,4,6}:{(65,1),(66,1),(146,1),(153,1),(155,1)}
       107:{2,3,6,7}:{(66,1),(70,1),(147,1),(154,1),(156,1),(159,1),(362,1),(436,1),(495,1),(528,1),(531,1)}
       108:{2,3,5,6}:{(66,1),(67,1),(71,1),(148,1),(155,1),(156,1),(157,1),(160,1),(164,1),(257,1),(261,1),(263,1),(353,1),(362,1),(433,1),(436,1),(489,1),(494,1),(528,1),(545,1),(547,1)}
       109:{2,4}:{(67,1),(149,1),(158,1)}
       110:{3,6}:{(68,1),(69,1)}
       111:{2,4,6,7}:{(69,1),(70,1),(73,1),(159,1),(161,1),(163,1),(268,1)}
       112:{2,5,6}:{(69,1),(74,1),(155,1),(160,1),(161,1)}
       113:{2,5,7}:{(70,1),(71,1),(75,1),(163,1),(375,1)}
       114:{2,4,6}:{(71,1),(72,1),(76,1),(163,1),(164,1)}
       115:{3,5}:{(72,1),(158,1),(164,1)}
       116:{1,5,7}:{(73,1),(74,1),(80,1),(161,1)}
       117:{1,4,5,6}:{(74,1),(76,1),(81,1),(162,1),(167,1),(168,1),(252,1),(278,1),(351,1),(371,1),(499,1)}
       118:{1,4,7}:{(75,1),(76,1),(82,1),(163,1),(268,1)}
       119:{1,3,4,6}:{(76,1),(77,1),(83,1),(164,1),(168,1),(169,1),(170,1),(269,1),(274,1),(371,1),(452,1)}
       120:{2,4,5}:{(77,1),(165,1),(170,1),(171,1),(255,1),(275,1),(353,1)}
       121:{3,5,7}:{(78,1),(79,1),(80,1),(173,1)}
       122:{4,5,6}:{(79,1),(173,1),(331,1),(418,1)}
       123:{2,5,6,7}:{(80,1),(166,1),(172,1),(174,1),(332,1),(505,1)}
       124:{2,4,5,7}:{(80,1),(81,1),(82,1),(167,1),(173,1),(174,1),(175,1),(277,1),(451,1),(505,1),(536,1)}
       125:{3,5,6}:{(81,1),(83,1),(175,1),(334,1),(421,1),(452,1)}
       126:{3,4,7}:{(82,1),(83,1),(175,1),(536,1)}
       127:{2,4,7}:{(84,1),(99,1),(176,1),(177,1),(180,1)}
       128:{2,3,6}:{(84,1),(87,1),(100,1),(177,1),(181,1)}
       129:{2,3,5}:{(85,1),(88,1),(101,1),(180,1),(186,1)}
       130:{3,5,7}:{(86,1),(176,1),(181,1),(186,1),(281,1),(292,1)}
       131:{2,4,6}:{(86,1),(87,1),(89,1),(181,1),(183,1),(288,1)}
       132:{2,6,7}:{(87,1),(90,1),(184,1)}
       133:{2,5,6}:{(87,1),(88,1),(91,1),(184,1),(185,1),(393,1)}
       134:{2,4,5}:{(88,1),(92,1),(180,1),(185,1),(186,1)}
       135:{1,4,6,7}:{(89,1),(90,1),(94,1),(182,1),(187,1),(189,1)}
       136:{1,5,6}:{(89,1),(95,1),(183,1),(187,1),(199,1)}
       137:{1,3,5,7}:{(90,1),(91,1),(96,1),(184,1),(187,1),(189,1),(287,1),(292,1),(392,1),(395,1)}
       138:{1,4,6}:{(91,1),(92,1),(97,1),(185,1),(189,1),(288,1)}
       139:{1,3,4,5}:{(92,1),(98,1),(186,1),(190,1),(191,1),(202,1),(294,1),(304,1),(379,1),(457,1),(510,1)}
       140:{3,4,6,7}:{(93,1),(94,1),(192,1),(197,1),(300,1),(301,1)}
       141:{3,5,6}:{(93,1),(95,1),(192,1),(193,1),(207,1)}
       142:{2,5,7}:{(94,1),(95,1),(187,1),(192,1)}
       143:{2,4,5,6}:{(95,1),(97,1),(188,1),(193,1),(195,1),(196,1),(209,1),(297,1),(314,1),(466,1),(537,1),(550,1)}
       144:{2,4,7}:{(96,1),(97,1),(189,1),(197,1)}
       145:{3,4,6}:{(97,1),(98,1),(196,1),(197,1),(550,1)}
       146:{1,4,6}:{(99,1),(100,1),(106,1),(177,1),(199,1)}
       147:{1,3,6,7}:{(100,1),(102,1),(107,1),(178,1),(198,1),(200,1),(396,1),(469,1),(517,1)}
       148:{1,3,5,6}:{(100,1),(101,1),(103,1),(108,1),(179,1),(199,1),(200,1),(201,1),(204,1),(302,1),(304,1),(309,1),(396,1),(398,1),(469,1),(471,1),(517,1),(542,1)}
       149:{1,4}:{(101,1),(109,1),(180,1)}
       150:{1,2,5,7}:{(102,1),(103,1),(113,1),(184,1),(200,1),(203,1),(329,1),(395,1),(397,1),(402,1),(417,1),(468,1)}
       151:{1,2,4,6}:{(103,1),(104,1),(114,1),(185,1),(201,1),(203,1),(204,1),(225,1),(299,1),(306,1),(327,1),(393,1),(415,1),(466,1)}
       152:{1,3,5}:{(104,1),(115,1),(186,1),(202,1),(204,1),(205,1),(401,1),(476,1),(510,1)}
       153:{3,4,6}:{(105,1),(106,1),(110,1),(207,1),(214,1)}
       154:{2,4,6,7}:{(106,1),(107,1),(198,1),(206,1),(208,1),(210,1),(314,1),(540,1)}
       155:{2,5}:{(106,1),(199,1),(207,1)}
       156:{2,3,5,7}:{(107,1),(108,1),(113,1),(200,1),(208,1),(210,1),(213,1),(218,1),(308,1),(315,1),(397,1),(468,1),(516,1),(541,1)}
       157:{2,4,6}:{(108,1),(109,1),(201,1),(209,1),(210,1),(211,1),(214,1),(513,1),(550,1)}
       158:{3,4}:{(109,1),(115,1)}
       159:{3,6,7}:{(110,1),(111,1),(213,1),(218,1)}
       160:{3,5,6}:{(110,1),(112,1),(207,1),(213,1),(214,1)}
       161:{2,5,7}:{(111,1),(112,1),(116,1),(213,1)}
       162:{2,4,5,6}:{(112,1),(114,1),(117,1),(209,1),(214,1),(216,1),(217,1),(223,1),(314,1),(322,1),(403,1),(473,1)}
       163:{2,4,7}:{(113,1),(114,1),(118,1),(218,1)}
       164:{3,6}:{(114,1),(115,1),(218,1)}
       165:{2,3,5}:{(115,1),(120,1),(212,1),(219,1),(220,1),(476,1)}
       166:{1,5,6,7}:{(116,1),(123,1),(215,1),(221,1),(302,1),(480,1)}
       167:{1,4,5,7}:{(116,1),(117,1),(118,1),(124,1),(216,1),(221,1),(222,1),(329,1),(414,1),(480,1)}
       168:{1,3,5,6}:{(117,1),(119,1),(125,1),(217,1),(222,1),(223,1),(304,1),(396,1)}
       169:{1,3,4,7}:{(118,1),(119,1),(126,1),(218,1),(222,1),(224,1),(321,1),(326,1),(414,1),(482,1)}
       170:{2,4,6}:{(119,1),(120,1),(219,1),(223,1),(224,1),(225,1),(327,1)}
       171:{1,4,5}:{(120,1),(220,1),(225,1),(307,1),(398,1)}
       172:{3,5,6,7}:{(121,1),(123,1),(226,1),(227,1),(377,1),(523,1)}
       173:{4,5,7}:{(121,1),(122,1),(226,1)}
       174:{2,4,6,7}:{(123,1),(124,1),(221,1),(226,1),(227,1),(328,1),(380,1)}
       175:{3,5,7}:{(124,1),(125,1),(126,1),(227,1),(482,1)}
       176:{3,4,7}:{(127,1),(130,1),(228,1),(233,1),(339,1)}
       177:{2,4,6}:{(127,1),(128,1),(146,1),(228,1),(230,1)}
       178:{2,3,6,7}:{(128,1),(132,1),(147,1),(229,1),(231,1),(234,1),(421,1),(436,1),(453,1),(503,1),(506,1)}
       179:{2,3,5,6}:{(128,1),(129,1),(133,1),(148,1),(230,1),(231,1),(232,1),(235,1),(239,1),(257,1),(332,1),(334,1),(353,1),(374,1),(421,1),(436,1),(447,1),(452,1),(503,1),(533,1),(535,1)}
       180:{2,4}:{(129,1),(149,1),(233,1)}
       181:{3,6}:{(130,1),(131,1)}
       182:{2,4,6,7}:{(131,1),(132,1),(135,1),(234,1),(236,1),(238,1),(339,1)}
       183:{2,5,6}:{(131,1),(136,1),(230,1),(235,1),(236,1)}
       184:{2,5,7}:{(132,1),(133,1),(137,1),(238,1),(434,1)}
       185:{2,4,6}:{(133,1),(134,1),(138,1),(238,1),(239,1)}
       186:{3,5}:{(134,1),(233,1),(239,1)}
       187:{1,5,7}:{(135,1),(136,1),(142,1),(236,1)}
       188:{1,4,5,6}:{(136,1),(138,1),(143,1),(237,1),(242,1),(243,1),(252,1),(349,1),(351,1),(430,1),(524,1)}
       189:{1,4,7}:{(137,1),(138,1),(144,1),(238,1),(339,1)}
       190:{1,3,4,6}:{(138,1),(139,1),(145,1),(239,1),(243,1),(244,1),(245,1),(340,1),(345,1),(430,1),(494,1)}
       191:{2,4,5}:{(139,1),(240,1),(245,1),(246,1),(255,1),(346,1),(353,1)}
       192:{3,5,7}:{(140,1),(141,1),(142,1),(248,1)}
       193:{4,5,6}:{(141,1),(248,1),(260,1),(359,1)}
       194:{2,5,6,7}:{(142,1),(241,1),(247,1),(249,1),(261,1),(530,1)}
       195:{2,4,5,7}:{(142,1),(143,1),(144,1),(242,1),(248,1),(249,1),(250,1),(348,1),(493,1),(530,1),(548,1)}
       196:{3,5,6}:{(143,1),(145,1),(250,1),(263,1),(362,1),(494,1)}
       197:{3,4,7}:{(144,1),(145,1),(250,1),(548,1)}
       198:{1,4,6,7}:{(146,1),(147,1),(154,1),(229,1),(251,1),(253,1),(351,1),(532,1)}
       199:{1,5}:{(146,1),(155,1),(230,1)}
       200:{1,3,5,7}:{(147,1),(148,1),(150,1),(156,1),(231,1),(251,1),(253,1),(256,1),(357,1),(437,1)}
       201:{1,4,6}:{(148,1),(149,1),(157,1),(232,1),(252,1),(253,1),(498,1)}
       202:{1,3,4}:{(149,1),(152,1),(158,1),(233,1),(255,1),(498,1),(502,1),(527,1)}
       203:{1,2,4,7}:{(150,1),(151,1),(163,1),(238,1),(253,1),(256,1),(279,1),(350,1),(354,1),(375,1),(434,1),(451,1),(493,1)}
       204:{1,3,6}:{(151,1),(152,1),(164,1),(239,1),(256,1),(257,1),(452,1),(494,1)}
       205:{2,3,5}:{(152,1),(255,1),(257,1),(258,1),(275,1),(346,1),(353,1),(367,1),(426,1)}
       206:{3,4,6,7}:{(153,1),(154,1),(159,1),(259,1),(264,1),(268,1),(359,1),(362,1),(531,1),(546,1),(548,1)}
       207:{3,5}:{(153,1),(155,1),(260,1)}
       208:{2,5,7}:{(154,1),(155,1),(251,1),(259,1),(261,1),(547,1)}
       209:{2,4,5}:{(155,1),(157,1),(252,1),(260,1),(263,1),(353,1),(547,1),(552,1)}
       210:{2,4,7}:{(156,1),(157,1),(253,1),(264,1),(268,1),(548,1)}
       211:{3,4,6}:{(157,1),(158,1),(164,1),(263,1),(264,1),(362,1),(494,1),(527,1)}
       212:{2,3,4}:{(158,1),(165,1),(255,1),(266,1),(426,1),(502,1)}
       213:{3,5,7}:{(159,1),(160,1),(161,1),(268,1)}
       214:{4,6}:{(160,1),(260,1),(268,1)}
       215:{2,5,6,7}:{(161,1),(166,1),(261,1),(267,1),(270,1),(449,1)}
       216:{2,4,5,7}:{(161,1),(162,1),(163,1),(167,1),(268,1),(270,1),(271,1),(277,1),(368,1),(370,1),(449,1)}
       217:{3,5,6}:{(162,1),(164,1),(263,1),(269,1),(271,1),(362,1)}
       218:{3,7}:{(163,1),(164,1)}
       219:{2,3,6}:{(164,1),(165,1),(170,1),(273,1),(274,1),(452,1)}
       220:{1,3,5}:{(165,1),(171,1),(266,1),(274,1),(275,1)}
       221:{1,4,6,7}:{(166,1),(167,1),(174,1),(270,1),(276,1),(351,1),(376,1)}
       222:{1,3,5,7}:{(167,1),(168,1),(169,1),(175,1),(271,1),(276,1),(277,1)}
       223:{2,5,6}:{(168,1),(170,1),(277,1),(278,1),(353,1),(436,1)}
       224:{2,4,7}:{(169,1),(170,1),(273,1),(277,1),(279,1),(375,1)}
       225:{1,4,6}:{(170,1),(171,1),(274,1),(278,1),(279,1)}
       226:{4,6,7}:{(172,1),(173,1),(418,1),(536,1)}
       227:{3,6,7}:{(174,1),(175,1),(421,1)}
       228:{3,4,6}:{(176,1),(177,1),(181,1),(281,1),(288,1)}
       229:{2,4,6,7}:{(177,1),(178,1),(198,1),(280,1),(282,1),(284,1),(380,1),(522,1)}
       230:{2,5}:{(177,1),(199,1),(281,1)}
       231:{2,3,5,7}:{(178,1),(179,1),(184,1),(200,1),(282,1),(284,1),(287,1),(292,1),(308,1),(381,1),(397,1),(417,1),(482,1),(523,1)}
       232:{2,4,6}:{(179,1),(180,1),(201,1),(283,1),(284,1),(285,1),(288,1),(479,1),(543,1)}
       233:{3,4}:{(180,1),(186,1)}
       234:{3,6,7}:{(181,1),(182,1),(287,1),(292,1)}
       235:{3,5,6}:{(181,1),(183,1),(281,1),(287,1),(288,1)}
       236:{2,5,7}:{(182,1),(183,1),(187,1),(287,1)}
       237:{2,4,5,6}:{(183,1),(185,1),(188,1),(283,1),(288,1),(290,1),(291,1),(297,1),(380,1),(388,1),(454,1),(507,1)}
       238:{2,4,7}:{(184,1),(185,1),(189,1),(292,1)}
       239:{3,6}:{(185,1),(186,1),(292,1)}
       240:{2,3,5}:{(186,1),(191,1),(286,1),(293,1),(294,1),(510,1)}
       241:{1,5,6,7}:{(187,1),(194,1),(289,1),(295,1),(302,1),(514,1)}
       242:{1,4,5,7}:{(187,1),(188,1),(189,1),(195,1),(290,1),(295,1),(296,1),(395,1),(465,1),(514,1)}
       243:{1,3,5,6}:{(188,1),(190,1),(196,1),(291,1),(296,1),(297,1),(304,1),(396,1)}
       244:{1,3,4,7}:{(189,1),(190,1),(197,1),(292,1),(296,1),(298,1),(387,1),(392,1),(465,1),(516,1)}
       245:{2,4,6}:{(190,1),(191,1),(293,1),(297,1),(298,1),(299,1),(393,1)}
       246:{1,4,5}:{(191,1),(294,1),(299,1),(307,1),(398,1)}
       247:{3,5,6,7}:{(192,1),(194,1),(300,1),(301,1),(311,1),(541,1)}
       248:{4,5,7}:{(192,1),(193,1),(300,1)}
       249:{2,4,6,7}:{(194,1),(195,1),(295,1),(300,1),(301,1),(314,1),(394,1)}
       250:{3,5,7}:{(195,1),(196,1),(197,1),(301,1),(516,1)}
       251:{1,5,7}:{(198,1),(199,1),(208,1),(282,1),(302,1),(542,1)}
       252:{1,4,5}:{(199,1),(201,1),(209,1),(283,1),(304,1),(398,1),(542,1)}
       253:{1,4,7}:{(200,1),(201,1),(210,1),(284,1)}
       254:{1,3,4,6}:{(201,1),(202,1),(204,1),(211,1),(285,1),(304,1),(305,1),(306,1),(396,1)}
       255:{2,4}:{(202,1),(205,1),(307,1)}
       256:{1,3,7}:{(203,1),(204,1),(218,1),(292,1),(308,1),(482,1),(516,1)}
       257:{2,3,6}:{(204,1),(205,1),(306,1),(308,1),(309,1),(327,1),(393,1)}
       258:{1,3,5}:{(205,1),(307,1),(309,1),(310,1),(398,1),(401,1)}
       259:{3,5,7}:{(206,1),(207,1),(208,1),(311,1),(312,1),(551,1)}
       260:{4,5}:{(207,1),(214,1)}
       261:{2,5,6}:{(208,1),(302,1),(311,1),(314,1)}
       262:{2,4,5,7}:{(208,1),(209,1),(210,1),(303,1),(312,1),(314,1),(315,1),(397,1)}
       263:{3,5}:{(209,1),(211,1)}
       264:{3,4,7}:{(210,1),(211,1),(218,1),(315,1),(516,1)}
       265:{2,3,4,6}:{(211,1),(212,1),(219,1),(306,1),(316,1),(317,1),(318,1),(322,1),(407,1),(462,1),(513,1),(540,1)}
       266:{1,3,4}:{(212,1),(220,1),(307,1),(319,1),(401,1)}
       267:{3,5,6,7}:{(213,1),(215,1),(311,1),(320,1),(323,1),(412,1)}
       268:{4,7}:{(213,1),(214,1)}
       269:{3,4,6}:{(214,1),(217,1),(313,1),(321,1),(322,1)}
       270:{2,4,6,7}:{(215,1),(216,1),(221,1),(314,1),(320,1),(323,1),(328,1)}
       271:{3,5,7}:{(216,1),(217,1),(218,1),(321,1),(323,1)}
       272:{2,3,5,6}:{(217,1),(219,1),(223,1),(316,1),(322,1),(324,1),(325,1),(407,1),(473,1)}
       273:{2,3,7}:{(218,1),(219,1),(224,1),(326,1),(482,1)}
       274:{1,3,6}:{(219,1),(220,1),(225,1),(326,1),(327,1)}
       275:{2,5}:{(220,1),(319,1),(327,1)}
       276:{1,3,6,7}:{(221,1),(222,1),(227,1),(323,1),(328,1),(396,1)}
       277:{2,5,7}:{(222,1),(223,1),(224,1),(328,1),(329,1)}
       278:{1,5,6}:{(223,1),(225,1),(329,1),(398,1),(469,1)}
       279:{1,4,7}:{(224,1),(225,1),(326,1),(329,1)}
       280:{3,4,6,7}:{(228,1),(229,1),(234,1),(330,1),(335,1),(339,1),(418,1),(421,1),(506,1),(534,1),(536,1)}
       281:{3,5}:{(228,1),(230,1),(331,1)}
       282:{2,5,7}:{(229,1),(230,1),(251,1),(330,1),(332,1),(535,1)}
       283:{2,4,5}:{(230,1),(232,1),(252,1),(331,1),(334,1),(353,1),(535,1),(549,1)}
       284:{2,4,7}:{(231,1),(232,1),(253,1),(335,1),(339,1),(536,1)}
       285:{3,4,6}:{(232,1),(233,1),(239,1),(334,1),(335,1),(421,1),(452,1),(502,1)}
       286:{2,3,4}:{(233,1),(240,1),(255,1),(337,1),(367,1),(527,1)}
       287:{3,5,7}:{(234,1),(235,1),(236,1),(339,1)}
       288:{4,6}:{(235,1),(331,1),(339,1)}
       289:{2,5,6,7}:{(236,1),(241,1),(332,1),(338,1),(341,1),(491,1)}
       290:{2,4,5,7}:{(236,1),(237,1),(238,1),(242,1),(339,1),(341,1),(342,1),(348,1),(427,1),(429,1),(491,1)}
       291:{3,5,6}:{(237,1),(239,1),(334,1),(340,1),(342,1),(421,1)}
       292:{3,7}:{(238,1),(239,1)}
       293:{2,3,6}:{(239,1),(240,1),(245,1),(344,1),(345,1),(494,1)}
       294:{1,3,5}:{(240,1),(246,1),(337,1),(345,1),(346,1)}
       295:{1,4,6,7}:{(241,1),(242,1),(249,1),(341,1),(347,1),(351,1),(435,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(342,1),(347,1),(348,1)}
       297:{2,5,6}:{(243,1),(245,1),(348,1),(349,1),(353,1),(436,1)}
       298:{2,4,7}:{(244,1),(245,1),(344,1),(348,1),(350,1),(434,1)}
       299:{1,4,6}:{(245,1),(246,1),(345,1),(349,1),(350,1)}
       300:{4,6,7}:{(247,1),(248,1),(359,1),(548,1)}
       301:{3,6,7}:{(249,1),(250,1),(362,1)}
       302:{1,5,6}:{(251,1),(261,1),(332,1),(351,1)}
       303:{1,4,5,7}:{(251,1),(252,1),(253,1),(262,1),(333,1),(351,1),(352,1),(437,1)}
       304:{1,3,5}:{(252,1),(254,1),(263,1),(334,1),(353,1)}
       305:{1,3,4,7}:{(253,1),(254,1),(256,1),(264,1),(335,1),(352,1),(354,1)}
       306:{2,4,6}:{(254,1),(255,1),(257,1),(353,1),(354,1),(355,1),(436,1)}
       307:{1,4}:{(255,1),(258,1)}
       308:{2,3,7}:{(256,1),(257,1),(354,1),(357,1),(375,1),(434,1)}
       309:{1,3,6}:{(257,1),(258,1),(355,1),(357,1),(358,1)}
       310:{1,2,5}:{(258,1),(275,1),(346,1),(356,1),(358,1)}
       311:{3,5,6}:{(259,1),(261,1),(359,1),(362,1)}
       312:{4,5,7}:{(259,1),(260,1),(268,1),(359,1),(548,1),(552,1)}
       313:{3,4,5}:{(260,1),(263,1),(269,1),(361,1),(527,1)}
       314:{2,4,6}:{(261,1),(262,1),(351,1),(359,1),(362,1),(436,1)}
       315:{3,5,7}:{(262,1),(263,1),(264,1),(362,1)}
       316:{2,3,5}:{(263,1),(265,1),(353,1),(361,1),(364,1),(547,1)}
       317:{2,3,4,7}:{(264,1),(265,1),(273,1),(354,1),(363,1),(365,1),(370,1),(490,1),(529,1)}
       318:{1,3,4,6}:{(265,1),(266,1),(274,1),(355,1),(364,1),(365,1),(366,1),(371,1),(440,1),(445,1),(452,1),(498,1),(502,1),(532,1),(534,1)}
       319:{2,4}:{(266,1),(275,1),(367,1)}
       320:{4,6,7}:{(267,1),(268,1),(359,1),(368,1)}
       321:{3,4,7}:{(268,1),(269,1),(271,1),(370,1)}
       322:{2,4,6}:{(269,1),(272,1),(361,1),(370,1),(371,1)}
       323:{3,6,7}:{(270,1),(271,1),(362,1)}
       324:{2,3,5,7}:{(271,1),(272,1),(273,1),(277,1),(370,1),(372,1),(373,1),(449,1)}
       325:{1,3,5,6}:{(272,1),(274,1),(278,1),(364,1),(371,1),(373,1),(374,1),(445,1),(452,1),(499,1),(533,1)}
       326:{1,3,7}:{(273,1),(274,1),(279,1),(375,1)}
       327:{2,6}:{(274,1),(275,1),(375,1)}
       328:{2,6,7}:{(276,1),(277,1),(376,1),(436,1)}
       329:{1,5,7}:{(277,1),(278,1),(279,1),(376,1)}
       330:{3,5,7}:{(280,1),(281,1),(282,1),(377,1),(378,1),(544,1)}
       331:{4,5}:{(281,1),(288,1)}
       332:{2,5,6}:{(282,1),(302,1),(377,1),(380,1)}
       333:{2,4,5,7}:{(282,1),(283,1),(284,1),(303,1),(378,1),(380,1),(381,1),(397,1)}
       334:{3,5}:{(283,1),(285,1)}
       335:{3,4,7}:{(284,1),(285,1),(292,1),(381,1),(482,1)}
       336:{2,3,4,6}:{(285,1),(286,1),(293,1),(306,1),(382,1),(383,1),(384,1),(388,1),(411,1),(458,1),(479,1),(522,1)}
       337:{1,3,4}:{(286,1),(294,1),(307,1),(385,1),(401,1)}
       338:{3,5,6,7}:{(287,1),(289,1),(377,1),(386,1),(389,1),(463,1)}
       339:{4,7}:{(287,1),(288,1)}
       340:{3,4,6}:{(288,1),(291,1),(379,1),(387,1),(388,1)}
       341:{2,4,6,7}:{(289,1),(290,1),(295,1),(380,1),(386,1),(389,1),(394,1)}
       342:{3,5,7}:{(290,1),(291,1),(292,1),(387,1),(389,1)}
       343:{2,3,5,6}:{(291,1),(293,1),(297,1),(382,1),(388,1),(390,1),(391,1),(458,1),(507,1)}
       344:{2,3,7}:{(292,1),(293,1),(298,1),(392,1),(516,1)}
       345:{1,3,6}:{(293,1),(294,1),(299,1),(392,1),(393,1)}
       346:{2,5}:{(294,1),(385,1),(393,1)}
       347:{1,3,6,7}:{(295,1),(296,1),(301,1),(389,1),(394,1),(396,1)}
       348:{2,5,7}:{(296,1),(297,1),(298,1),(394,1),(395,1)}
       349:{1,5,6}:{(297,1),(299,1),(395,1),(398,1),(469,1)}
       350:{1,4,7}:{(298,1),(299,1),(392,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(314,1),(380,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(305,1),(315,1),(381,1),(396,1),(397,1)}
       353:{2,5}:{(304,1),(306,1),(398,1)}
       354:{2,4,7}:{(305,1),(306,1),(308,1),(397,1),(399,1)}
       355:{1,4,6}:{(306,1),(307,1),(309,1),(398,1),(399,1),(469,1)}
       356:{1,2,4}:{(307,1),(310,1),(319,1),(385,1),(401,1)}
       357:{1,3,7}:{(308,1),(309,1),(399,1),(402,1)}
       358:{1,2,6}:{(309,1),(310,1),(327,1),(393,1),(402,1)}
       359:{4,6}:{(311,1),(312,1)}
       360:{3,4,5,7}:{(312,1),(313,1),(315,1),(321,1),(404,1),(405,1),(412,1),(539,1),(551,1)}
       361:{2,4,5}:{(313,1),(316,1),(322,1),(406,1),(513,1)}
       362:{3,6}:{(314,1),(315,1)}
       363:{2,3,5,7}:{(315,1),(316,1),(317,1),(397,1),(405,1),(407,1),(408,1)}
       364:{1,3,5}:{(316,1),(318,1),(398,1),(406,1),(409,1),(476,1),(542,1),(544,1)}
       365:{1,3,4,7}:{(317,1),(318,1),(326,1),(399,1),(408,1),(410,1),(414,1),(472,1),(482,1),(518,1),(521,1)}
       366:{2,4,6}:{(318,1),(319,1),(327,1),(409,1),(410,1),(411,1),(477,1),(479,1)}
       367:{2,3}:{(319,1),(401,1)}
       368:{4,5,7}:{(320,1),(403,1),(412,1)}
       369:{3,4,6,7}:{(320,1),(321,1),(323,1),(404,1),(412,1),(413,1)}
       370:{2,4,7}:{(321,1),(322,1),(324,1),(414,1)}
       371:{1,4,6}:{(322,1),(325,1),(406,1),(414,1),(415,1),(543,1)}
       372:{2,3,6,7}:{(323,1),(324,1),(328,1),(407,1),(413,1),(416,1)}
       373:{1,3,5,7}:{(324,1),(325,1),(326,1),(329,1),(414,1),(416,1),(417,1),(480,1),(482,1),(523,1)}
       374:{2,5,6}:{(325,1),(327,1),(409,1),(415,1),(417,1),(477,1)}
       375:{2,7}:{(326,1),(327,1)}
       376:{1,6,7}:{(328,1),(329,1),(469,1)}
       377:{3,5,6}:{(330,1),(332,1),(418,1),(421,1)}
       378:{4,5,7}:{(330,1),(331,1),(339,1),(418,1),(536,1),(549,1)}
       379:{3,4,5}:{(331,1),(334,1),(340,1),(420,1),(502,1)}
       380:{2,4,6}:{(332,1),(333,1),(351,1),(418,1),(421,1),(436,1)}
       381:{3,5,7}:{(333,1),(334,1),(335,1),(421,1)}
       382:{2,3,5}:{(334,1),(336,1),(353,1),(420,1),(423,1),(535,1)}
       383:{2,3,4,7}:{(335,1),(336,1),(344,1),(354,1),(422,1),(424,1),(429,1),(448,1),(504,1)}
       384:{1,3,4,6}:{(336,1),(337,1),(345,1),(355,1),(423,1),(424,1),(425,1),(430,1),(440,1),(487,1),(494,1),(498,1),(527,1),(532,1),(546,1)}
       385:{2,4}:{(337,1),(346,1),(426,1)}
       386:{4,6,7}:{(338,1),(339,1),(418,1),(427,1)}
       387:{3,4,7}:{(339,1),(340,1),(342,1),(429,1)}
       388:{2,4,6}:{(340,1),(343,1),(420,1),(429,1),(430,1)}
       389:{3,6,7}:{(341,1),(342,1),(421,1)}
       390:{2,3,5,7}:{(342,1),(343,1),(344,1),(348,1),(429,1),(431,1),(432,1),(491,1)}
       391:{1,3,5,6}:{(343,1),(345,1),(349,1),(423,1),(430,1),(432,1),(433,1),(487,1),(494,1),(524,1),(545,1)}
       392:{1,3,7}:{(344,1),(345,1),(350,1),(434,1)}
       393:{2,6}:{(345,1),(346,1),(434,1)}
       394:{2,6,7}:{(347,1),(348,1),(435,1),(436,1)}
       395:{1,5,7}:{(348,1),(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(362,1),(421,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(354,1),(436,1),(437,1)}
       398:{1,5}:{(353,1),(355,1)}
       399:{1,4,7}:{(354,1),(355,1),(357,1),(437,1)}
       400:{1,2,4,6}:{(355,1),(356,1),(358,1),(366,1),(425,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       401:{1,3}:{(356,1),(367,1),(426,1)}
       402:{1,2,7}:{(357,1),(358,1),(375,1),(434,1)}
       403:{4,5,6}:{(359,1),(368,1),(441,1),(552,1)}
       404:{3,4,6}:{(359,1),(360,1),(362,1),(441,1),(442,1)}
       405:{2,4,5,7}:{(360,1),(361,1),(363,1),(370,1),(442,1),(443,1),(449,1),(529,1),(547,1)}
       406:{1,4,5}:{(361,1),(364,1),(371,1),(444,1),(498,1),(549,1)}
       407:{2,3,6}:{(362,1),(363,1),(436,1),(442,1),(445,1)}
       408:{1,3,5,7}:{(363,1),(364,1),(365,1),(437,1),(443,1),(445,1),(446,1),(501,1)}
       409:{2,5}:{(364,1),(366,1)}
       410:{2,4,7}:{(365,1),(366,1),(375,1),(446,1),(448,1)}
       411:{2,3,6}:{(366,1),(367,1),(440,1),(447,1),(448,1),(452,1)}
       412:{3,5,7}:{(368,1),(369,1),(441,1),(449,1)}
       413:{2,4,6,7}:{(369,1),(370,1),(372,1),(442,1),(449,1),(450,1)}
       414:{1,4,7}:{(370,1),(371,1),(373,1),(451,1),(536,1)}
       415:{2,4,6}:{(371,1),(374,1),(444,1),(451,1),(452,1)}
       416:{1,3,6,7}:{(372,1),(373,1),(376,1),(445,1),(450,1),(453,1),(506,1)}
       417:{2,5,7}:{(373,1),(374,1),(375,1),(451,1),(453,1)}
       418:{4,6}:{(377,1),(378,1)}
       419:{3,4,5,7}:{(378,1),(379,1),(381,1),(387,1),(455,1),(456,1),(463,1),(521,1),(544,1)}
       420:{2,4,5}:{(379,1),(382,1),(388,1),(457,1),(479,1)}
       421:{3,6}:{(380,1),(381,1)}
       422:{2,3,5,7}:{(381,1),(382,1),(383,1),(397,1),(456,1),(458,1),(459,1)}
       423:{1,3,5}:{(382,1),(384,1),(398,1),(457,1),(460,1),(510,1),(542,1),(551,1)}
       424:{1,3,4,7}:{(383,1),(384,1),(392,1),(399,1),(459,1),(461,1),(465,1),(472,1),(516,1),(518,1),(539,1)}
       425:{2,4,6}:{(384,1),(385,1),(393,1),(460,1),(461,1),(462,1),(511,1),(513,1)}
       426:{2,3}:{(385,1),(401,1)}
       427:{4,5,7}:{(386,1),(454,1),(463,1)}
       428:{3,4,6,7}:{(386,1),(387,1),(389,1),(455,1),(463,1),(464,1)}
       429:{2,4,7}:{(387,1),(388,1),(390,1),(465,1)}
       430:{1,4,6}:{(388,1),(391,1),(457,1),(465,1),(466,1),(550,1)}
       431:{2,3,6,7}:{(389,1),(390,1),(394,1),(458,1),(464,1),(467,1)}
       432:{1,3,5,7}:{(390,1),(391,1),(392,1),(395,1),(465,1),(467,1),(468,1),(514,1),(516,1),(541,1)}
       433:{2,5,6}:{(391,1),(393,1),(460,1),(466,1),(468,1),(511,1)}
       434:{2,7}:{(392,1),(393,1)}
       435:{1,6,7}:{(394,1),(395,1),(469,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(399,1),(469,1)}
       438:{1,2,5}:{(398,1),(400,1),(409,1),(460,1),(471,1),(542,1)}
       439:{1,2,4,7}:{(399,1),(400,1),(402,1),(410,1),(461,1),(470,1),(472,1),(518,1)}
       440:{1,3,6}:{(400,1),(401,1),(411,1),(462,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(412,1),(473,1),(551,1)}
       442:{2,4,6}:{(404,1),(405,1),(407,1),(473,1),(474,1)}
       443:{1,4,5,7}:{(405,1),(406,1),(408,1),(414,1),(474,1),(475,1),(480,1),(518,1),(542,1)}
       444:{2,4,5}:{(406,1),(409,1),(415,1),(476,1),(479,1)}
       445:{1,3,6}:{(407,1),(408,1),(469,1),(474,1),(477,1),(520,1)}
       446:{2,5,7}:{(408,1),(409,1),(410,1),(477,1)}
       447:{2,3,5}:{(409,1),(411,1),(471,1),(476,1),(479,1)}
       448:{2,3,7}:{(410,1),(411,1),(472,1),(482,1)}
       449:{2,5,7}:{(412,1),(413,1),(473,1),(480,1)}
       450:{1,4,6,7}:{(413,1),(414,1),(416,1),(474,1),(480,1),(481,1)}
       451:{2,4,7}:{(414,1),(415,1),(417,1),(482,1)}
       452:{3,6}:{(415,1),(476,1),(482,1)}
       453:{2,6,7}:{(416,1),(417,1),(477,1)}
       454:{4,5,6}:{(418,1),(427,1),(483,1),(549,1)}
       455:{3,4,6}:{(418,1),(419,1),(421,1),(483,1),(484,1)}
       456:{2,4,5,7}:{(419,1),(420,1),(422,1),(429,1),(484,1),(485,1),(491,1),(504,1),(535,1)}
       457:{1,4,5}:{(420,1),(423,1),(430,1),(486,1),(498,1),(552,1)}
       458:{2,3,6}:{(421,1),(422,1),(436,1),(484,1),(487,1)}
       459:{1,3,5,7}:{(422,1),(423,1),(424,1),(437,1),(485,1),(487,1),(488,1),(526,1)}
       460:{2,5}:{(423,1),(425,1)}
       461:{2,4,7}:{(424,1),(425,1),(434,1),(488,1),(490,1)}
       462:{2,3,6}:{(425,1),(426,1),(440,1),(489,1),(490,1),(494,1)}
       463:{3,5,7}:{(427,1),(428,1),(483,1),(491,1)}
       464:{2,4,6,7}:{(428,1),(429,1),(431,1),(484,1),(491,1),(492,1)}
       465:{1,4,7}:{(429,1),(430,1),(432,1),(493,1),(548,1)}
       466:{2,4,6}:{(430,1),(433,1),(486,1),(493,1),(494,1)}
       467:{1,3,6,7}:{(431,1),(432,1),(435,1),(487,1),(492,1),(495,1),(531,1)}
       468:{2,5,7}:{(432,1),(433,1),(434,1),(493,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(446,1),(488,1),(496,1),(497,1)}
       471:{1,3,5}:{(438,1),(440,1),(447,1),(489,1),(498,1)}
       472:{1,3,7}:{(439,1),(440,1),(448,1),(490,1)}
       473:{2,5,6}:{(441,1),(442,1),(449,1),(499,1),(547,1)}
       474:{1,4,6}:{(442,1),(443,1),(445,1),(499,1),(500,1)}
       475:{2,4,5,7}:{(443,1),(444,1),(446,1),(451,1),(500,1),(501,1),(504,1),(505,1),(535,1),(536,1),(549,1)}
       476:{3,5}:{(444,1),(452,1),(502,1)}
       477:{2,6}:{(445,1),(446,1)}
       478:{2,3,5,7}:{(446,1),(447,1),(448,1),(497,1),(501,1),(503,1),(504,1),(535,1)}
       479:{2,4}:{(447,1),(498,1),(502,1)}
       480:{1,5,7}:{(449,1),(450,1),(499,1),(505,1)}
       481:{2,4,6,7}:{(450,1),(451,1),(453,1),(500,1),(505,1),(506,1),(536,1)}
       482:{3,7}:{(451,1),(452,1)}
       483:{3,5,6}:{(454,1),(455,1),(463,1),(507,1),(544,1)}
       484:{2,4,6}:{(455,1),(456,1),(458,1),(507,1),(508,1)}
       485:{1,4,5,7}:{(456,1),(457,1),(459,1),(465,1),(508,1),(509,1),(514,1),(518,1),(542,1)}
       486:{2,4,5}:{(457,1),(460,1),(466,1),(510,1),(513,1)}
       487:{1,3,6}:{(458,1),(459,1),(469,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(459,1),(460,1),(461,1),(511,1)}
       489:{2,3,5}:{(460,1),(462,1),(471,1),(510,1),(513,1)}
       490:{2,3,7}:{(461,1),(462,1),(472,1),(516,1)}
       491:{2,5,7}:{(463,1),(464,1),(507,1),(514,1)}
       492:{1,4,6,7}:{(464,1),(465,1),(467,1),(508,1),(514,1),(515,1)}
       493:{2,4,7}:{(465,1),(466,1),(468,1),(516,1)}
       494:{3,6}:{(466,1),(510,1),(516,1)}
       495:{2,6,7}:{(467,1),(468,1),(511,1)}
       496:{1,2,6}:{(469,1),(470,1),(477,1),(511,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(478,1),(512,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(471,1),(479,1),(513,1)}
       499:{1,5,6}:{(473,1),(474,1),(480,1),(519,1),(542,1)}
       500:{2,4,6}:{(474,1),(475,1),(477,1),(519,1),(520,1),(543,1)}
       501:{3,5,7}:{(475,1),(476,1),(482,1),(520,1),(521,1),(544,1)}
       502:{3,4}:{(476,1),(479,1)}
       503:{2,3,6}:{(477,1),(478,1),(517,1),(520,1),(522,1)}
       504:{2,4,7}:{(478,1),(479,1),(518,1),(521,1),(522,1)}
       505:{2,5,7}:{(480,1),(481,1),(519,1),(523,1)}
       506:{3,6,7}:{(481,1),(482,1),(520,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(491,1),(524,1),(535,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(524,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(486,1),(488,1),(493,1),(525,1),(526,1),(529,1),(530,1),(547,1),(548,1),(552,1)}
       510:{3,5}:{(486,1),(494,1),(527,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(490,1),(497,1),(526,1),(528,1),(529,1),(547,1)}
       513:{2,4}:{(489,1),(498,1),(527,1)}
       514:{1,5,7}:{(491,1),(492,1),(524,1),(530,1)}
       515:{2,4,6,7}:{(492,1),(493,1),(495,1),(525,1),(530,1),(531,1),(548,1)}
       516:{3,7}:{(493,1),(494,1)}
       517:{1,3,6}:{(496,1),(497,1),(503,1),(528,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(504,1),(529,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(505,1),(533,1),(535,1)}
       520:{3,6}:{(500,1),(501,1)}
       521:{3,4,7}:{(501,1),(502,1),(504,1),(534,1),(536,1)}
       522:{2,4,6}:{(503,1),(504,1),(532,1),(534,1),(535,1)}
       523:{3,5,7}:{(505,1),(506,1),(533,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(514,1),(537,1),(542,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(537,1),(538,1),(550,1)}
       526:{3,5,7}:{(509,1),(510,1),(516,1),(538,1),(539,1),(551,1)}
       527:{3,4}:{(510,1),(513,1)}
       528:{2,3,6}:{(511,1),(512,1),(517,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(513,1),(518,1),(539,1),(540,1)}
       530:{2,5,7}:{(514,1),(515,1),(537,1),(541,1)}
       531:{3,6,7}:{(515,1),(516,1),(538,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(522,1),(540,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(523,1),(543,1),(544,1)}
       534:{3,4,6}:{(520,1),(521,1),(522,1),(543,1),(544,1)}
       535:{2,5}:{(522,1),(542,1),(544,1)}
       536:{4,7}:{(523,1),(543,1)}
       537:{2,5,6}:{(524,1),(525,1),(530,1),(545,1),(547,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(527,1),(529,1),(546,1),(548,1)}
       540:{2,4,6}:{(528,1),(529,1),(532,1),(546,1),(547,1)}
       541:{3,5,7}:{(530,1),(531,1),(545,1),(548,1)}
       542:{1,5}:{(532,1),(535,1),(547,1)}
       543:{4,6}:{(533,1),(536,1),(549,1)}
       544:{3,5}:{(534,1),(535,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(541,1),(550,1),(551,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(550,1),(551,1)}
       547:{2,5}:{(540,1),(542,1),(551,1)}
       548:{4,7}:{(541,1),(550,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(548,1),(552,1)}
       551:{3,5}:{(546,1),(547,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 607 :   0:{2,3,4}:{(2,1),(3,1),(45,1),(86,1)}
         1:{3,4,5}:{(5,1),(6,1),(99,1),(130,1)}
         2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(7,1),(9,1),(28,1),(67,1),(70,1)}
         4:{2,3,4}:{(11,1),(12,1),(21,1),(55,1)}
         5:{2,4,5}:{(1,1),(2,1),(14,1),(15,1),(86,1),(122,1)}
         6:{3,4,6}:{(1,1),(15,1),(16,1),(17,1)}
         7:{1,3,5}:{(2,1),(3,1),(14,1),(18,1),(19,1),(48,1)}
         8:{2,3,6}:{(2,1),(15,1),(19,1),(20,1)}
         9:{2,4}:{(3,1),(18,1),(21,1)}
        10:{3,4,5}:{(22,1),(23,1),(70,1),(110,1)}
        11:{2,3,5}:{(4,1),(22,1),(24,1),(25,1)}
        12:{1,3,4}:{(4,1),(24,1),(26,1),(28,1),(67,1),(99,1)}
        13:{1,2,4}:{(9,1),(26,1),(27,1),(28,1),(67,1)}
        14:{1,4,5}:{(5,1),(7,1),(29,1),(30,1),(67,1),(108,1)}
        15:{2,4,6}:{(5,1),(6,1),(8,1),(30,1),(31,1),(32,1)}
        16:{3,5,6}:{(6,1),(31,1),(33,1),(34,1),(130,1),(148,1)}
        17:{3,4,7}:{(6,1),(32,1),(34,1)}
        18:{2,5}:{(7,1),(9,1),(36,1)}
        19:{1,3,6}:{(7,1),(8,1),(30,1),(36,1),(37,1),(71,1)}
        20:{2,3,7}:{(8,1),(32,1),(37,1)}
        21:{2,3}:{(9,1),(28,1)}
        22:{2,4,5}:{(10,1),(11,1),(38,1),(39,1),(55,1),(97,1)}
        23:{3,4,6}:{(10,1),(39,1),(40,1),(41,1)}
        24:{1,3,5}:{(11,1),(12,1),(38,1),(42,1),(43,1),(79,1)}
        25:{2,3,6}:{(11,1),(39,1),(43,1),(44,1)}
        26:{2,4}:{(12,1),(42,1),(45,1)}
        27:{1,2,5}:{(13,1),(18,1),(42,1),(46,1),(47,1)}
        28:{1,3}:{(13,1),(21,1),(45,1)}
        29:{2,4,5}:{(14,1),(18,1),(48,1),(49,1),(55,1),(97,1),(125,1)}
        30:{1,4,6}:{(14,1),(15,1),(19,1),(49,1),(50,1),(51,1)}
        31:{2,5,6}:{(15,1),(16,1),(50,1),(52,1),(122,1),(144,1)}
        32:{2,4,7}:{(15,1),(17,1),(20,1),(51,1),(52,1)}
        33:{4,5,6}:{(16,1),(53,1),(140,1),(151,1)}
        34:{3,5,7}:{(16,1),(17,1),(52,1),(53,1),(54,1)}
        35:{2,3,5}:{(18,1),(21,1),(46,1),(48,1),(55,1),(56,1),(97,1)}
        36:{2,6}:{(18,1),(19,1),(57,1)}
        37:{1,3,7}:{(19,1),(20,1),(51,1),(57,1),(93,1)}
        38:{1,4,5}:{(22,1),(24,1),(58,1),(59,1),(67,1),(108,1)}
        39:{2,4,6}:{(22,1),(23,1),(25,1),(59,1),(60,1),(61,1)}
        40:{3,5,6}:{(23,1),(60,1),(62,1),(63,1),(110,1),(138,1)}
        41:{3,4,7}:{(23,1),(61,1),(63,1)}
        42:{2,5}:{(24,1),(26,1),(65,1)}
        43:{1,3,6}:{(24,1),(25,1),(59,1),(65,1),(66,1),(100,1)}
        44:{2,3,7}:{(25,1),(61,1),(66,1)}
        45:{2,3}:{(26,1),(28,1)}
        46:{1,3,5}:{(27,1),(28,1),(35,1),(64,1),(67,1),(68,1),(108,1)}
        47:{1,2,6}:{(27,1),(36,1),(65,1),(68,1),(69,1)}
        48:{3,5}:{(29,1),(70,1),(71,1)}
        49:{2,4,6}:{(29,1),(30,1),(36,1),(71,1),(72,1),(73,1),(112,1)}
        50:{1,5,6}:{(30,1),(31,1),(72,1),(74,1),(108,1),(136,1)}
        51:{1,4,7}:{(30,1),(32,1),(37,1),(73,1),(74,1)}
        52:{2,5,7}:{(31,1),(32,1),(34,1),(74,1),(75,1)}
        53:{4,5,7}:{(33,1),(34,1),(76,1)}
        54:{3,6,7}:{(34,1),(75,1),(76,1),(148,1)}
        55:{2,4}:{(35,1),(67,1),(70,1)}
        56:{2,3,6}:{(35,1),(36,1),(68,1),(71,1),(77,1),(78,1)}
        57:{2,7}:{(36,1),(37,1)}
        58:{2,4,5}:{(38,1),(42,1),(79,1),(80,1),(86,1),(122,1),(140,1)}
        59:{1,4,6}:{(38,1),(39,1),(43,1),(80,1),(81,1),(82,1)}
        60:{2,5,6}:{(39,1),(40,1),(81,1),(83,1),(97,1),(129,1)}
        61:{2,4,7}:{(39,1),(41,1),(44,1),(82,1),(83,1)}
        62:{4,5,6}:{(40,1),(84,1),(125,1),(145,1)}
        63:{3,5,7}:{(40,1),(41,1),(83,1),(84,1),(85,1)}
        64:{2,3,5}:{(42,1),(45,1),(46,1),(79,1),(86,1),(87,1),(122,1)}
        65:{2,6}:{(42,1),(43,1),(88,1)}
        66:{1,3,7}:{(43,1),(44,1),(82,1),(88,1),(118,1)}
        67:{1,4}:{(46,1),(55,1),(86,1)}
        68:{1,3,6}:{(46,1),(47,1),(56,1),(87,1),(89,1),(90,1)}
        69:{1,2,7}:{(47,1),(57,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(55,1)}
        71:{3,6}:{(48,1),(49,1),(93,1)}
        72:{2,5,6}:{(49,1),(50,1),(92,1),(94,1),(97,1),(129,1)}
        73:{2,4,7}:{(49,1),(51,1),(57,1),(93,1),(94,1),(127,1)}
        74:{1,5,7}:{(50,1),(51,1),(52,1),(94,1),(95,1)}
        75:{2,6,7}:{(52,1),(54,1),(95,1),(144,1)}
        76:{4,6,7}:{(53,1),(54,1),(96,1),(151,1)}
        77:{2,4,6}:{(55,1),(56,1),(89,1),(91,1),(97,1),(98,1),(129,1)}
        78:{2,3,7}:{(56,1),(57,1),(90,1),(93,1),(98,1)}
        79:{3,5}:{(58,1),(99,1),(100,1)}
        80:{2,4,6}:{(58,1),(59,1),(65,1),(100,1),(101,1),(102,1),(132,1)}
        81:{1,5,6}:{(59,1),(60,1),(101,1),(103,1),(108,1),(136,1)}
        82:{1,4,7}:{(59,1),(61,1),(66,1),(102,1),(103,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(103,1),(104,1)}
        84:{4,5,7}:{(62,1),(63,1),(105,1)}
        85:{3,6,7}:{(63,1),(104,1),(105,1),(138,1)}
        86:{2,4}:{(64,1),(67,1),(99,1)}
        87:{2,3,6}:{(64,1),(65,1),(68,1),(100,1),(106,1),(107,1)}
        88:{2,7}:{(65,1),(66,1)}
        89:{1,4,6}:{(67,1),(68,1),(77,1),(106,1),(108,1),(109,1),(136,1)}
        90:{1,3,7}:{(68,1),(69,1),(78,1),(107,1),(109,1)}
        91:{3,4,6}:{(70,1),(71,1),(77,1),(110,1),(111,1),(112,1),(138,1)}
        92:{3,5,6}:{(71,1),(72,1),(110,1),(112,1),(113,1),(138,1),(150,1)}
        93:{3,7}:{(71,1),(73,1)}
        94:{2,5,7}:{(72,1),(73,1),(74,1),(113,1),(114,1)}
        95:{1,6,7}:{(74,1),(75,1),(114,1),(136,1)}
        96:{5,6,7}:{(76,1),(153,1)}
        97:{2,5}:{(77,1),(108,1),(110,1)}
        98:{2,4,7}:{(77,1),(78,1),(109,1),(111,1),(115,1)}
        99:{3,4}:{(79,1),(86,1)}
       100:{3,6}:{(79,1),(80,1),(118,1)}
       101:{2,5,6}:{(80,1),(81,1),(117,1),(119,1),(122,1),(144,1)}
       102:{2,4,7}:{(80,1),(82,1),(88,1),(118,1),(119,1),(142,1)}
       103:{1,5,7}:{(81,1),(82,1),(83,1),(119,1),(120,1)}
       104:{2,6,7}:{(83,1),(85,1),(120,1),(129,1)}
       105:{4,6,7}:{(84,1),(85,1),(121,1),(145,1)}
       106:{2,4,6}:{(86,1),(87,1),(89,1),(116,1),(122,1),(123,1),(144,1)}
       107:{2,3,7}:{(87,1),(88,1),(90,1),(118,1),(123,1)}
       108:{1,5}:{(89,1),(97,1),(122,1)}
       109:{1,4,7}:{(89,1),(90,1),(98,1),(123,1),(124,1)}
       110:{3,5}:{(91,1),(97,1),(125,1)}
       111:{3,4,7}:{(91,1),(93,1),(98,1),(126,1),(127,1)}
       112:{4,6}:{(92,1),(125,1),(127,1)}
       113:{3,5,7}:{(92,1),(93,1),(94,1),(127,1),(128,1),(146,1)}
       114:{2,6,7}:{(94,1),(95,1),(128,1),(129,1)}
       115:{2,5,7}:{(97,1),(98,1),(124,1),(126,1),(129,1)}
       116:{3,4,6}:{(99,1),(100,1),(106,1),(130,1),(131,1),(132,1),(148,1)}
       117:{3,5,6}:{(100,1),(101,1),(130,1),(132,1),(133,1),(148,1),(153,1)}
       118:{3,7}:{(100,1),(102,1)}
       119:{2,5,7}:{(101,1),(102,1),(103,1),(133,1),(134,1)}
       120:{1,6,7}:{(103,1),(104,1),(134,1),(136,1)}
       121:{5,6,7}:{(105,1),(150,1)}
       122:{2,5}:{(106,1),(108,1),(130,1)}
       123:{2,4,7}:{(106,1),(107,1),(109,1),(131,1),(135,1)}
       124:{1,5,7}:{(108,1),(109,1),(115,1),(135,1),(136,1)}
       125:{4,5}:{(110,1),(112,1)}
       126:{3,5,7}:{(110,1),(111,1),(115,1),(137,1),(138,1)}
       127:{4,7}:{(112,1),(113,1)}
       128:{3,6,7}:{(113,1),(114,1),(138,1),(139,1)}
       129:{2,6}:{(115,1),(136,1),(138,1)}
       130:{3,5}:{(116,1),(122,1),(140,1)}
       131:{3,4,7}:{(116,1),(118,1),(123,1),(141,1),(142,1)}
       132:{4,6}:{(117,1),(140,1),(142,1)}
       133:{3,5,7}:{(117,1),(118,1),(119,1),(142,1),(143,1),(152,1)}
       134:{2,6,7}:{(119,1),(120,1),(143,1),(144,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(141,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,5,7}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       138:{3,6}:{(126,1),(129,1),(145,1)}
       139:{4,6,7}:{(127,1),(128,1),(145,1),(146,1)}
       140:{4,5}:{(130,1),(132,1)}
       141:{3,5,7}:{(130,1),(131,1),(135,1),(147,1),(148,1)}
       142:{4,7}:{(132,1),(133,1)}
       143:{3,6,7}:{(133,1),(134,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(148,1)}
       145:{4,6}:{(137,1),(138,1),(150,1)}
       146:{5,7}:{(139,1),(150,1)}
       147:{4,5,7}:{(140,1),(141,1),(142,1),(151,1),(152,1)}
       148:{3,6}:{(141,1),(144,1),(151,1)}
       149:{4,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(148,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 608 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 609 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 610 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 611 :   0:{1,3,4,5}:{(2,1),(3,1),(11,1),(17,1),(49,1),(142,1),(144,1),(253,1)}
         1:{1,2,4,5}:{(4,1),(5,1),(7,1),(25,1),(34,1),(76,1),(80,1),(82,1),(84,1),(159,1),(176,1),(194,1),(279,1),(292,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(82,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(35,1),(101,1),(103,1),(201,1)}
         4:{1,3,5}:{(1,1),(11,1),(12,1),(13,1),(123,1),(253,1),(332,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(14,1),(15,1),(19,1),(48,1),(55,1),(62,1),(118,1),(147,1),(214,1),(323,1)}
         6:{2,3,5}:{(2,1),(16,1),(17,1),(18,1),(253,1)}
         7:{1,4,5}:{(2,1),(17,1),(19,1),(47,1),(125,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(20,1),(21,1),(62,1)}
         9:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(49,1),(69,1),(130,1)}
        10:{1,3,4,7}:{(3,1),(21,1),(23,1),(64,1),(150,1),(152,1),(261,1)}
        11:{1,3,4}:{(4,1),(25,1),(292,1),(307,1),(375,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(28,1),(34,1),(82,1),(93,1),(159,1),(163,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(30,1),(201,1),(367,1)}
        14:{1,2,5,6}:{(5,1),(29,1),(31,1),(38,1),(82,1),(99,1),(169,1),(176,1),(182,1),(270,1),(295,1),(395,1)}
        15:{1,2,4,7}:{(5,1),(30,1),(31,1),(39,1),(83,1),(91,1),(100,1),(170,1),(202,1),(271,1),(368,1)}
        16:{2,3,4}:{(6,1),(25,1),(32,1),(163,1),(307,1)}
        17:{1,3,5}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(37,1),(201,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(38,1),(39,1)}
        20:{2,5,6}:{(8,1),(9,1),(38,1),(41,1),(82,1),(182,1)}
        21:{2,4,7}:{(8,1),(10,1),(37,1),(39,1),(41,1),(100,1)}
        22:{1,4,5,6}:{(9,1),(40,1),(42,1),(84,1),(101,1),(183,1),(209,1),(314,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(109,1)}
        24:{1,3,4,5}:{(11,1),(45,1),(46,1),(49,1),(112,1),(222,1),(224,1),(332,1)}
        25:{2,4}:{(11,1),(12,1),(47,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(49,1),(50,1),(55,1),(130,1),(135,1)}
        27:{1,3,5}:{(12,1),(47,1),(51,1),(52,1),(123,1),(125,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(54,1),(62,1),(214,1)}
        29:{1,3,5,6}:{(13,1),(14,1),(49,1),(53,1),(55,1),(56,1),(130,1),(233,1),(242,1),(346,1),(348,1),(353,1),(422,1),(424,1)}
        30:{1,3,7}:{(13,1),(15,1),(54,1),(261,1),(405,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(56,1),(57,1),(68,1),(128,1),(148,1),(228,1),(324,1),(425,1)}
        32:{1,3,4}:{(16,1),(17,1),(47,1),(58,1),(123,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(59,1),(60,1),(61,1),(65,1),(135,1),(146,1),(219,1),(246,1),(260,1),(330,1),(357,1),(413,1)}
        34:{2,5}:{(17,1),(58,1),(62,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(62,1),(64,1)}
        36:{2,3,5,6}:{(18,1),(20,1),(60,1),(63,1),(65,1),(66,1),(69,1),(146,1),(154,1),(259,1),(260,1)}
        37:{2,3,7}:{(18,1),(21,1),(64,1),(261,1)}
        38:{1,5,6}:{(19,1),(20,1),(68,1),(125,1),(239,1)}
        39:{1,4,7}:{(19,1),(21,1),(64,1),(68,1)}
        40:{2,4,5,6}:{(20,1),(22,1),(65,1),(67,1),(69,1),(70,1),(127,1),(147,1),(154,1),(241,1),(259,1),(362,1),(363,1),(428,1)}
        41:{2,5,7}:{(20,1),(21,1),(23,1),(68,1),(71,1)}
        42:{1,4,5,7}:{(22,1),(23,1),(70,1),(72,1),(150,1),(265,1),(267,1)}
        43:{1,3,6,7}:{(23,1),(71,1),(72,1),(130,1),(157,1)}
        44:{2,3,4}:{(25,1),(73,1),(74,1),(93,1),(375,1)}
        45:{2,4,5}:{(24,1),(25,1),(73,1),(76,1),(77,1),(82,1),(159,1)}
        46:{1,3,4,6}:{(24,1),(77,1),(78,1),(79,1),(160,1),(272,1),(274,1),(367,1)}
        47:{1,4}:{(25,1),(27,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(81,1),(82,1),(83,1),(182,1)}
        49:{1,3,5}:{(26,1),(82,1),(84,1),(180,1)}
        50:{1,3,4,7}:{(26,1),(30,1),(83,1),(85,1),(91,1),(189,1)}
        51:{1,2,5}:{(27,1),(34,1),(80,1),(86,1),(159,1)}
        52:{1,3,6}:{(27,1),(28,1),(81,1),(86,1),(88,1)}
        53:{2,3,5,6}:{(28,1),(29,1),(82,1),(87,1),(89,1),(90,1),(99,1),(180,1),(182,1),(192,1),(201,1),(270,1),(277,1),(296,1),(299,1),(300,1),(301,1),(309,1),(367,1),(377,1),(393,1),(399,1),(401,1),(437,1),(439,1)}
        54:{2,3,7}:{(28,1),(30,1),(83,1),(88,1),(100,1),(271,1)}
        55:{1,4,6}:{(29,1),(84,1),(89,1),(91,1),(292,1)}
        56:{1,3,5,7}:{(29,1),(30,1),(31,1),(90,1),(91,1),(92,1),(191,1),(392,1),(396,1)}
        57:{1,2,6,7}:{(31,1),(92,1),(108,1),(182,1),(203,1),(288,1),(295,1),(369,1)}
        58:{2,4}:{(32,1),(34,1),(93,1)}
        59:{1,3,4,6}:{(32,1),(33,1),(35,1),(81,1),(94,1),(95,1),(96,1),(101,1),(175,1),(198,1),(201,1),(292,1),(303,1),(307,1),(316,1),(390,1),(397,1),(398,1)}
        60:{2,3,5}:{(33,1),(82,1),(95,1),(97,1),(180,1),(296,1),(437,1)}
        61:{2,3,4,7}:{(33,1),(37,1),(83,1),(96,1),(98,1),(104,1),(189,1),(278,1),(304,1),(317,1),(376,1)}
        62:{2,6}:{(34,1),(35,1),(100,1)}
        63:{1,3,5,6}:{(35,1),(36,1),(38,1),(95,1),(99,1),(101,1),(102,1),(198,1),(201,1),(209,1),(314,1),(316,1),(401,1)}
        64:{1,3,7}:{(35,1),(37,1),(39,1),(100,1)}
        65:{2,4,6}:{(36,1),(97,1),(101,1),(103,1),(104,1)}
        66:{2,3,5,7}:{(36,1),(37,1),(41,1),(102,1),(104,1),(105,1),(109,1),(208,1),(210,1),(317,1)}
        67:{1,4,5,6}:{(38,1),(40,1),(101,1),(106,1),(107,1),(178,1),(298,1),(314,1)}
        68:{1,5,7}:{(38,1),(39,1),(41,1),(108,1)}
        69:{3,5,6}:{(40,1),(103,1),(109,1),(180,1),(201,1),(299,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(104,1),(107,1),(109,1),(110,1),(202,1),(208,1),(210,1),(319,1),(321,1),(403,1)}
        71:{2,6,7}:{(41,1),(43,1),(108,1),(182,1)}
        72:{1,4,6,7}:{(42,1),(43,1),(110,1),(111,1),(183,1),(322,1)}
        73:{2,3,5}:{(44,1),(45,1),(112,1),(113,1),(332,1)}
        74:{1,3,4}:{(44,1),(47,1),(112,1),(114,1),(123,1)}
        75:{2,3,4,6}:{(44,1),(48,1),(113,1),(115,1),(116,1),(117,1),(135,1),(139,1),(217,1),(226,1),(246,1),(251,1),(359,1),(404,1),(411,1)}
        76:{1,4,5}:{(45,1),(47,1),(112,1),(118,1),(125,1)}
        77:{2,4,6}:{(45,1),(46,1),(113,1),(118,1),(119,1),(120,1),(214,1)}
        78:{1,3,5,6}:{(46,1),(49,1),(119,1),(121,1),(122,1),(130,1),(229,1)}
        79:{1,3,4,7}:{(46,1),(120,1),(122,1),(216,1),(326,1),(328,1),(405,1)}
        80:{1,2,4}:{(47,1),(51,1),(58,1),(114,1),(123,1)}
        81:{1,4,6}:{(47,1),(48,1),(52,1),(125,1),(126,1),(239,1)}
        82:{2,5}:{(48,1),(49,1),(125,1)}
        83:{2,4,7}:{(48,1),(50,1),(54,1),(126,1),(128,1)}
        84:{1,4,5}:{(49,1),(55,1),(127,1),(348,1),(422,1)}
        85:{1,3,5,7}:{(49,1),(50,1),(128,1),(129,1),(130,1),(240,1)}
        86:{1,2,6}:{(51,1),(52,1),(62,1),(132,1),(214,1)}
        87:{1,3,5,6}:{(52,1),(53,1),(125,1),(131,1),(133,1),(134,1),(233,1),(237,1),(239,1),(243,1),(346,1),(350,1),(351,1),(422,1)}
        88:{1,3,7}:{(52,1),(54,1),(126,1),(132,1)}
        89:{2,4,6}:{(53,1),(55,1),(127,1),(133,1),(135,1),(136,1),(251,1),(330,1),(428,1),(449,1)}
        90:{2,3,5,7}:{(53,1),(54,1),(56,1),(128,1),(134,1),(136,1),(137,1),(148,1),(240,1),(250,1),(261,1),(324,1),(349,1),(354,1),(366,1),(405,1),(446,1)}
        91:{1,4,7}:{(55,1),(56,1),(136,1)}
        92:{1,3,6,7}:{(56,1),(57,1),(130,1),(137,1),(138,1),(346,1),(424,1)}
        93:{2,3}:{(58,1),(123,1)}
        94:{2,4,6}:{(58,1),(59,1),(62,1),(139,1),(140,1),(141,1),(251,1),(255,1),(364,1),(426,1)}
        95:{1,3,5}:{(59,1),(60,1),(125,1),(140,1),(142,1),(253,1),(348,1),(422,1),(427,1)}
        96:{1,3,4,7}:{(59,1),(61,1),(64,1),(126,1),(141,1),(143,1),(150,1),(234,1),(261,1),(345,1),(355,1),(358,1),(365,1)}
        97:{2,4,5}:{(60,1),(65,1),(142,1),(144,1),(330,1)}
        98:{2,3,5,7}:{(60,1),(61,1),(128,1),(143,1),(145,1),(146,1),(240,1),(349,1)}
        99:{2,5,6}:{(62,1),(63,1),(140,1),(147,1),(148,1),(255,1),(364,1)}
       100:{2,7}:{(62,1),(64,1)}
       101:{1,4,6}:{(63,1),(65,1),(142,1),(147,1),(150,1),(428,1)}
       102:{1,3,5,7}:{(63,1),(64,1),(66,1),(68,1),(148,1),(150,1),(151,1),(261,1),(265,1),(267,1),(365,1),(366,1)}
       103:{3,4,6}:{(65,1),(69,1),(144,1),(152,1),(428,1)}
       104:{2,4,7}:{(65,1),(66,1),(150,1),(152,1)}
       105:{2,3,6,7}:{(66,1),(71,1),(146,1),(151,1),(153,1),(157,1),(268,1)}
       106:{1,3,5,6}:{(67,1),(69,1),(149,1),(154,1),(155,1),(237,1),(350,1)}
       107:{1,4,5,7}:{(67,1),(68,1),(70,1),(150,1),(155,1),(156,1),(265,1)}
       108:{1,6,7}:{(68,1),(71,1),(239,1)}
       109:{3,5,7}:{(69,1),(70,1),(152,1),(157,1),(261,1)}
       110:{2,4,6,7}:{(70,1),(71,1),(72,1),(156,1),(157,1),(158,1),(241,1),(268,1),(269,1)}
       111:{1,5,6,7}:{(72,1),(158,1),(242,1),(265,1)}
       112:{1,3,5}:{(73,1),(74,1),(76,1),(159,1),(160,1)}
       113:{2,3,6}:{(73,1),(77,1),(160,1),(162,1),(367,1)}
       114:{2,4}:{(74,1),(159,1),(163,1)}
       115:{1,3,4,6}:{(74,1),(75,1),(81,1),(160,1),(164,1),(165,1),(166,1),(175,1),(272,1),(283,1),(292,1),(303,1),(367,1),(375,1),(390,1),(429,1),(435,1),(436,1)}
       116:{2,3,5}:{(75,1),(82,1),(165,1),(167,1),(180,1),(296,1),(399,1)}
       117:{2,3,4,7}:{(75,1),(83,1),(162,1),(166,1),(168,1),(189,1),(193,1),(275,1),(304,1),(308,1),(430,1)}
       118:{1,4,6}:{(76,1),(77,1),(160,1),(169,1),(170,1)}
       119:{2,5,6}:{(77,1),(78,1),(82,1),(169,1),(172,1),(182,1)}
       120:{2,4,7}:{(77,1),(79,1),(162,1),(170,1),(172,1),(271,1)}
       121:{1,4,5,6}:{(78,1),(84,1),(171,1),(173,1),(183,1),(272,1),(382,1),(384,1)}
       122:{1,3,5,7}:{(78,1),(79,1),(172,1),(173,1),(174,1),(289,1)}
       123:{1,3}:{(80,1),(93,1),(163,1)}
       124:{1,2,4,6}:{(80,1),(81,1),(86,1),(94,1),(164,1),(175,1),(176,1),(177,1),(292,1),(295,1),(303,1),(390,1),(395,1),(441,1)}
       125:{1,5}:{(81,1),(82,1)}
       126:{1,4,7}:{(81,1),(83,1),(88,1),(179,1)}
       127:{2,4,5}:{(82,1),(84,1),(89,1),(178,1),(180,1),(296,1),(399,1),(437,1),(443,1),(454,1)}
       128:{2,5,7}:{(82,1),(83,1),(85,1),(179,1),(182,1)}
       129:{1,4,5,7}:{(84,1),(85,1),(91,1),(181,1),(183,1),(191,1),(392,1)}
       130:{1,3,6}:{(85,1),(182,1),(183,1),(299,1)}
       131:{1,2,5,6}:{(86,1),(87,1),(99,1),(176,1),(184,1),(185,1),(209,1),(270,1),(295,1),(296,1),(384,1),(393,1)}
       132:{1,2,7}:{(86,1),(88,1),(100,1),(271,1)}
       133:{1,4,6}:{(87,1),(89,1),(178,1),(187,1),(292,1)}
       134:{1,3,5,7}:{(87,1),(88,1),(90,1),(179,1),(185,1),(187,1),(188,1),(302,1),(305,1)}
       135:{3,4,6}:{(89,1),(180,1),(189,1),(201,1),(299,1),(307,1),(367,1),(375,1)}
       136:{2,4,7}:{(89,1),(90,1),(91,1),(187,1),(189,1),(403,1),(452,1)}
       137:{2,3,6,7}:{(90,1),(92,1),(182,1),(188,1),(190,1),(203,1),(299,1),(309,1),(318,1),(369,1),(377,1),(393,1),(431,1)}
       138:{1,4,6,7}:{(91,1),(92,1),(183,1),(190,1),(191,1),(390,1)}
       139:{2,3,6}:{(93,1),(94,1),(175,1),(192,1),(193,1),(201,1),(442,1)}
       140:{2,5}:{(94,1),(95,1)}
       141:{2,4,7}:{(94,1),(96,1),(100,1),(193,1),(195,1),(402,1)}
       142:{1,4,5}:{(95,1),(97,1),(101,1),(194,1),(292,1),(443,1)}
       143:{1,3,5,7}:{(95,1),(96,1),(98,1),(179,1),(195,1),(197,1),(198,1),(311,1),(392,1)}
       144:{3,4,5}:{(97,1),(103,1),(180,1),(375,1),(443,1)}
       145:{2,4,5,7}:{(97,1),(98,1),(104,1),(197,1),(199,1),(200,1),(208,1),(376,1),(437,1)}
       146:{2,3,6}:{(98,1),(182,1),(198,1),(200,1),(299,1),(393,1)}
       147:{2,4,6}:{(99,1),(101,1),(194,1),(201,1),(202,1)}
       148:{2,5,7}:{(99,1),(100,1),(102,1),(202,1),(203,1),(402,1)}
       149:{1,3,4,6}:{(101,1),(103,1),(106,1),(196,1),(201,1),(204,1),(205,1),(316,1)}
       150:{1,4,7}:{(101,1),(102,1),(104,1),(202,1),(403,1)}
       151:{1,3,6,7}:{(102,1),(105,1),(108,1),(198,1),(203,1),(206,1),(318,1),(322,1)}
       152:{3,4,7}:{(103,1),(104,1),(109,1),(403,1)}
       153:{2,4,6,7}:{(104,1),(105,1),(200,1),(206,1),(207,1),(208,1)}
       154:{2,5,6}:{(106,1),(204,1),(209,1),(210,1),(296,1),(393,1)}
       155:{1,3,5,7}:{(106,1),(107,1),(109,1),(205,1),(210,1),(211,1)}
       156:{1,4,6,7}:{(107,1),(108,1),(110,1),(211,1),(212,1),(298,1)}
       157:{3,6,7}:{(109,1),(110,1),(299,1)}
       158:{2,5,6,7}:{(110,1),(111,1),(208,1),(212,1),(213,1),(300,1),(319,1)}
       159:{2,5}:{(112,1),(114,1),(214,1)}
       160:{1,3,6}:{(112,1),(113,1),(118,1),(214,1),(216,1)}
       161:{2,3,5,6}:{(113,1),(116,1),(119,1),(215,1),(217,1),(218,1),(226,1),(229,1),(338,1),(339,1),(404,1)}
       162:{2,3,7}:{(113,1),(120,1),(216,1),(405,1)}
       163:{2,3}:{(114,1),(123,1)}
       164:{2,4,6}:{(114,1),(115,1),(214,1),(219,1),(220,1),(221,1),(330,1),(334,1),(444,1),(447,1)}
       165:{1,3,5}:{(115,1),(116,1),(125,1),(220,1),(222,1),(332,1),(348,1),(422,1),(448,1)}
       166:{1,3,4,7}:{(115,1),(117,1),(126,1),(216,1),(221,1),(223,1),(234,1),(326,1),(345,1),(355,1),(405,1),(412,1),(445,1)}
       167:{2,4,5}:{(116,1),(217,1),(222,1),(224,1),(251,1)}
       168:{2,3,5,7}:{(116,1),(117,1),(128,1),(223,1),(225,1),(226,1),(240,1),(349,1)}
       169:{1,5,6}:{(118,1),(119,1),(125,1),(228,1),(239,1)}
       170:{1,4,7}:{(118,1),(120,1),(216,1),(228,1)}
       171:{2,4,5,6}:{(119,1),(121,1),(127,1),(217,1),(227,1),(229,1),(230,1),(241,1),(323,1),(338,1),(339,1),(416,1),(417,1),(449,1)}
       172:{2,5,7}:{(119,1),(120,1),(122,1),(228,1),(231,1)}
       173:{1,4,5,7}:{(121,1),(122,1),(230,1),(232,1),(326,1),(409,1),(418,1)}
       174:{1,3,6,7}:{(122,1),(130,1),(231,1),(232,1),(342,1)}
       175:{1,3,6}:{(123,1),(124,1),(139,1),(219,1),(233,1),(234,1),(450,1)}
       176:{1,2,5}:{(124,1),(125,1),(140,1),(220,1),(233,1),(348,1),(422,1)}
       177:{1,2,4,7}:{(124,1),(126,1),(132,1),(141,1),(221,1),(234,1),(236,1),(345,1),(355,1),(425,1)}
       178:{1,4,5}:{(125,1),(127,1),(133,1),(237,1),(422,1)}
       179:{1,5,7}:{(125,1),(126,1),(128,1),(239,1)}
       180:{3,5}:{(127,1),(135,1)}
       181:{2,4,5,7}:{(127,1),(128,1),(129,1),(136,1),(238,1),(240,1),(241,1),(250,1),(349,1),(356,1)}
       182:{2,6}:{(128,1),(130,1),(239,1)}
       183:{1,4,6}:{(129,1),(130,1),(241,1),(242,1),(424,1)}
       184:{1,2,4,6}:{(131,1),(133,1),(147,1),(235,1),(243,1),(244,1),(246,1),(263,1),(323,1),(364,1),(407,1),(444,1)}
       185:{1,2,5,7}:{(131,1),(132,1),(134,1),(148,1),(244,1),(245,1),(267,1),(324,1),(349,1),(418,1)}
       186:{1,3,4,6}:{(133,1),(135,1),(237,1),(243,1),(246,1),(247,1),(344,1),(350,1)}
       187:{1,4,7}:{(133,1),(134,1),(136,1)}
       188:{1,3,6,7}:{(134,1),(137,1),(239,1),(245,1),(248,1),(346,1),(350,1)}
       189:{3,4,7}:{(135,1),(136,1),(240,1),(261,1),(405,1)}
       190:{2,4,6,7}:{(136,1),(137,1),(138,1),(241,1),(248,1),(249,1),(250,1),(359,1),(413,1)}
       191:{1,5,7}:{(138,1),(242,1),(250,1),(422,1)}
       192:{2,3,5}:{(139,1),(140,1),(233,1),(251,1),(253,1)}
       193:{2,3,7}:{(139,1),(141,1),(234,1),(261,1)}
       194:{2,4,5}:{(140,1),(142,1),(147,1),(251,1),(253,1)}
       195:{2,5,7}:{(140,1),(141,1),(143,1),(255,1)}
       196:{1,3,4,5}:{(142,1),(144,1),(149,1),(237,1),(253,1),(256,1),(344,1),(360,1)}
       197:{1,4,5,7}:{(142,1),(143,1),(145,1),(150,1),(254,1),(257,1),(265,1),(345,1),(422,1)}
       198:{1,3,6}:{(143,1),(146,1),(239,1),(255,1),(257,1),(361,1),(424,1)}
       199:{3,4,5,7}:{(144,1),(145,1),(152,1),(240,1),(258,1),(266,1),(356,1),(412,1),(448,1)}
       200:{2,4,6}:{(145,1),(146,1),(257,1),(258,1),(259,1)}
       201:{3,6}:{(147,1),(253,1),(261,1)}
       202:{2,4,7}:{(147,1),(148,1),(150,1),(261,1)}
       203:{2,6,7}:{(148,1),(151,1),(255,1)}
       204:{2,4,6}:{(149,1),(154,1),(256,1),(260,1),(263,1),(264,1),(364,1)}
       205:{1,3,4,7}:{(149,1),(150,1),(152,1),(155,1),(261,1),(264,1),(365,1)}
       206:{1,4,6,7}:{(150,1),(151,1),(153,1),(257,1),(262,1),(265,1)}
       207:{3,4,6,7}:{(152,1),(153,1),(157,1),(258,1),(266,1),(269,1)}
       208:{2,5,7}:{(153,1),(259,1),(265,1),(266,1)}
       209:{1,5,6}:{(154,1),(263,1),(267,1),(348,1),(424,1)}
       210:{2,5,7}:{(154,1),(155,1),(264,1),(267,1),(268,1)}
       211:{1,3,6,7}:{(155,1),(156,1),(157,1),(268,1),(350,1)}
       212:{1,5,6,7}:{(156,1),(158,1),(265,1),(351,1)}
       213:{3,5,6,7}:{(157,1),(158,1),(266,1),(269,1),(352,1),(366,1)}
       214:{2,6}:{(159,1),(160,1),(271,1)}
       215:{1,3,5,6}:{(160,1),(161,1),(165,1),(169,1),(270,1),(272,1),(273,1),(283,1),(367,1),(382,1),(384,1),(429,1),(439,1)}
       216:{1,3,7}:{(160,1),(162,1),(170,1),(271,1)}
       217:{2,4,6}:{(161,1),(167,1),(272,1),(274,1),(275,1)}
       218:{2,3,5,7}:{(161,1),(162,1),(172,1),(273,1),(275,1),(276,1),(289,1),(374,1),(385,1),(430,1)}
       219:{2,3,6}:{(163,1),(164,1),(175,1),(277,1),(278,1),(367,1),(453,1)}
       220:{2,5}:{(164,1),(165,1)}
       221:{2,4,7}:{(164,1),(166,1),(271,1),(278,1),(280,1),(451,1)}
       222:{1,4,5}:{(165,1),(167,1),(272,1),(279,1),(292,1),(454,1)}
       223:{1,3,5,7}:{(165,1),(166,1),(168,1),(179,1),(280,1),(282,1),(283,1),(379,1),(392,1)}
       224:{3,4,5}:{(167,1),(180,1),(274,1),(307,1),(454,1)}
       225:{2,4,5,7}:{(167,1),(168,1),(275,1),(282,1),(284,1),(285,1),(308,1),(374,1),(399,1)}
       226:{2,3,6}:{(168,1),(182,1),(283,1),(285,1),(299,1),(393,1)}
       227:{1,4,5,6}:{(169,1),(171,1),(178,1),(272,1),(286,1),(287,1),(298,1),(382,1)}
       228:{1,5,7}:{(169,1),(170,1),(172,1),(288,1)}
       229:{3,5,6}:{(171,1),(180,1),(274,1),(289,1),(299,1),(367,1)}
       230:{2,4,5,7}:{(171,1),(172,1),(173,1),(275,1),(287,1),(289,1),(290,1),(368,1),(374,1),(385,1),(432,1),(434,1),(452,1)}
       231:{2,6,7}:{(172,1),(174,1),(182,1),(288,1)}
       232:{1,4,6,7}:{(173,1),(174,1),(183,1),(290,1),(291,1),(440,1)}
       233:{1,3,5}:{(175,1),(176,1),(192,1),(277,1),(292,1)}
       234:{1,3,7}:{(175,1),(177,1),(193,1),(278,1)}
       235:{1,2,4,5}:{(176,1),(178,1),(184,1),(194,1),(279,1),(292,1),(294,1),(296,1),(313,1),(381,1),(389,1),(400,1),(438,1),(441,1)}
       236:{1,2,5,7}:{(176,1),(177,1),(179,1),(195,1),(280,1),(293,1),(295,1),(392,1)}
       237:{1,3,5}:{(178,1),(180,1),(186,1),(296,1)}
       238:{1,4,5,7}:{(178,1),(179,1),(181,1),(187,1),(297,1),(298,1),(305,1)}
       239:{1,6}:{(179,1),(182,1)}
       240:{3,5,7}:{(180,1),(181,1),(189,1),(299,1)}
       241:{2,4,6}:{(181,1),(182,1),(183,1),(298,1),(299,1),(300,1),(393,1),(394,1)}
       242:{1,5,6}:{(183,1),(191,1),(300,1)}
       243:{1,3,6}:{(184,1),(201,1),(294,1),(301,1),(302,1),(367,1)}
       244:{1,2,4,7}:{(184,1),(185,1),(187,1),(202,1),(302,1),(304,1),(320,1),(368,1),(402,1),(433,1),(451,1)}
       245:{1,2,6,7}:{(185,1),(188,1),(203,1),(295,1),(322,1),(369,1),(393,1),(440,1)}
       246:{2,4,6}:{(186,1),(296,1),(301,1),(303,1),(304,1),(389,1),(393,1)}
       247:{1,3,4,7}:{(186,1),(187,1),(189,1),(297,1),(302,1),(304,1)}
       248:{1,4,6,7}:{(187,1),(188,1),(190,1),(298,1),(305,1),(390,1)}
       249:{3,4,6,7}:{(189,1),(190,1),(299,1),(306,1),(318,1),(394,1),(398,1),(403,1),(431,1),(436,1),(452,1)}
       250:{2,5,7}:{(190,1),(191,1),(300,1),(305,1),(306,1),(399,1),(437,1)}
       251:{2,4}:{(192,1),(292,1),(307,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(195,1),(293,1),(308,1),(309,1),(311,1),(399,1)}
       253:{3,5}:{(194,1),(201,1),(307,1)}
       254:{2,4,5,7}:{(194,1),(195,1),(197,1),(202,1),(308,1),(311,1),(312,1),(319,1),(399,1),(403,1),(443,1)}
       255:{2,6}:{(195,1),(198,1)}
       256:{2,4,5}:{(196,1),(204,1),(296,1),(310,1),(313,1),(389,1),(400,1)}
       257:{1,4,6}:{(197,1),(198,1),(200,1),(312,1),(314,1)}
       258:{3,4,6}:{(199,1),(200,1),(299,1),(315,1),(394,1)}
       259:{2,5,6}:{(200,1),(208,1),(314,1),(315,1),(437,1)}
       260:{2,3,6}:{(201,1),(204,1),(310,1),(316,1),(317,1)}
       261:{3,7}:{(201,1),(202,1)}
       262:{2,4,6,7}:{(202,1),(203,1),(206,1),(312,1),(318,1),(319,1),(403,1)}
       263:{1,4,6}:{(204,1),(209,1),(313,1),(316,1),(320,1)}
       264:{2,4,7}:{(204,1),(205,1),(210,1),(317,1),(320,1),(402,1)}
       265:{1,5,7}:{(206,1),(208,1),(314,1),(319,1)}
       266:{3,5,7}:{(207,1),(208,1),(315,1),(321,1)}
       267:{1,5,7}:{(209,1),(210,1),(320,1),(322,1)}
       268:{2,6,7}:{(210,1),(211,1),(322,1),(393,1)}
       269:{4,6,7}:{(213,1),(321,1),(394,1),(403,1)}
       270:{2,5,6}:{(214,1),(215,1),(220,1),(323,1),(324,1),(334,1),(444,1)}
       271:{2,7}:{(214,1),(216,1)}
       272:{1,4,6}:{(215,1),(217,1),(222,1),(323,1),(326,1),(449,1)}
       273:{1,3,5,7}:{(215,1),(216,1),(218,1),(228,1),(324,1),(326,1),(327,1),(405,1),(409,1),(418,1),(445,1),(446,1)}
       274:{3,4,6}:{(217,1),(224,1),(229,1),(328,1),(449,1)}
       275:{2,4,7}:{(217,1),(218,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(218,1),(226,1),(231,1),(327,1),(329,1),(342,1),(419,1)}
       277:{2,3,5}:{(219,1),(220,1),(233,1),(330,1),(332,1)}
       278:{2,3,7}:{(219,1),(221,1),(234,1),(405,1)}
       279:{2,4,5}:{(220,1),(222,1),(323,1),(330,1),(332,1)}
       280:{2,5,7}:{(220,1),(221,1),(223,1),(334,1)}
       281:{1,3,4,5}:{(222,1),(224,1),(237,1),(325,1),(332,1),(335,1),(344,1),(414,1)}
       282:{1,4,5,7}:{(222,1),(223,1),(225,1),(326,1),(333,1),(336,1),(345,1),(409,1),(422,1)}
       283:{1,3,6}:{(223,1),(226,1),(239,1),(334,1),(336,1),(415,1),(424,1)}
       284:{3,4,5,7}:{(224,1),(225,1),(240,1),(328,1),(337,1),(356,1),(358,1),(410,1),(427,1)}
       285:{2,4,6}:{(225,1),(226,1),(336,1),(337,1),(338,1)}
       286:{1,3,5,6}:{(227,1),(229,1),(237,1),(325,1),(339,1),(340,1),(350,1)}
       287:{1,4,5,7}:{(227,1),(228,1),(230,1),(326,1),(340,1),(341,1),(409,1)}
       288:{1,6,7}:{(228,1),(231,1),(239,1)}
       289:{3,5,7}:{(229,1),(230,1),(328,1),(342,1),(405,1)}
       290:{2,4,6,7}:{(230,1),(231,1),(232,1),(241,1),(341,1),(342,1),(343,1),(419,1),(420,1)}
       291:{1,5,6,7}:{(232,1),(242,1),(343,1),(409,1)}
       292:{1,4}:{(233,1),(251,1),(330,1)}
       293:{1,3,5,7}:{(233,1),(234,1),(236,1),(252,1),(331,1),(345,1),(346,1),(422,1)}
       294:{1,3,5}:{(235,1),(243,1),(253,1),(332,1),(344,1),(347,1),(450,1)}
       295:{1,2,6}:{(236,1),(239,1),(255,1),(334,1),(346,1),(424,1)}
       296:{2,5}:{(237,1),(246,1),(348,1)}
       297:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(349,1),(350,1)}
       298:{1,4,6}:{(238,1),(239,1),(241,1),(350,1),(351,1)}
       299:{3,6}:{(240,1),(241,1)}
       300:{2,5,6}:{(241,1),(242,1),(250,1),(351,1),(352,1)}
       301:{2,3,6}:{(243,1),(246,1),(347,1),(353,1),(354,1),(364,1),(444,1)}
       302:{1,3,7}:{(243,1),(244,1),(261,1),(354,1),(405,1)}
       303:{1,4,6}:{(246,1),(348,1),(353,1),(355,1),(421,1),(424,1)}
       304:{2,4,7}:{(246,1),(247,1),(349,1),(354,1),(355,1)}
       305:{1,5,7}:{(248,1),(250,1),(351,1),(422,1)}
       306:{3,5,7}:{(249,1),(250,1),(352,1),(356,1),(427,1),(448,1)}
       307:{3,4}:{(251,1),(253,1)}
       308:{2,4,7}:{(251,1),(252,1),(345,1),(358,1),(359,1)}
       309:{2,3,6}:{(252,1),(255,1),(346,1),(359,1),(361,1)}
       310:{2,3,5}:{(253,1),(256,1),(260,1),(357,1),(360,1)}
       311:{3,5,7}:{(253,1),(254,1),(261,1),(358,1),(361,1),(427,1)}
       312:{2,4,6}:{(254,1),(255,1),(257,1),(361,1),(362,1),(428,1)}
       313:{1,4,5}:{(256,1),(263,1),(348,1),(360,1),(421,1)}
       314:{1,5,6}:{(257,1),(259,1),(265,1),(362,1),(422,1)}
       315:{3,5,6}:{(258,1),(259,1),(266,1),(363,1),(448,1)}
       316:{1,3,6}:{(260,1),(263,1),(360,1),(364,1),(365,1)}
       317:{2,3,7}:{(260,1),(261,1),(264,1),(365,1)}
       318:{3,6,7}:{(261,1),(262,1),(361,1),(366,1)}
       319:{2,5,7}:{(262,1),(265,1),(362,1),(366,1)}
       320:{1,4,7}:{(263,1),(264,1),(267,1),(365,1)}
       321:{4,5,7}:{(266,1),(269,1),(363,1)}
       322:{1,6,7}:{(267,1),(268,1),(424,1)}
       323:{2,4,6}:{(270,1),(272,1),(279,1),(367,1),(368,1)}
       324:{2,5,7}:{(270,1),(271,1),(273,1),(368,1),(369,1),(451,1)}
       325:{1,3,4,6}:{(272,1),(274,1),(281,1),(286,1),(367,1),(370,1),(371,1),(429,1)}
       326:{1,4,7}:{(272,1),(273,1),(275,1),(368,1),(452,1)}
       327:{1,3,6,7}:{(273,1),(276,1),(283,1),(288,1),(369,1),(372,1),(431,1),(440,1)}
       328:{3,4,7}:{(274,1),(275,1),(289,1),(452,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(285,1),(372,1),(373,1),(374,1)}
       330:{2,4}:{(277,1),(292,1),(375,1)}
       331:{2,3,5,7}:{(277,1),(278,1),(280,1),(293,1),(376,1),(377,1),(379,1),(437,1)}
       332:{3,5}:{(279,1),(367,1),(375,1)}
       333:{2,4,5,7}:{(279,1),(280,1),(282,1),(368,1),(376,1),(379,1),(380,1),(432,1),(437,1),(452,1),(454,1)}
       334:{2,6}:{(280,1),(283,1)}
       335:{2,4,5}:{(281,1),(296,1),(370,1),(378,1),(381,1),(389,1),(438,1)}
       336:{1,4,6}:{(282,1),(283,1),(285,1),(380,1),(382,1)}
       337:{3,4,6}:{(284,1),(285,1),(299,1),(383,1),(394,1)}
       338:{2,5,6}:{(285,1),(374,1),(382,1),(383,1),(399,1)}
       339:{2,5,6}:{(286,1),(296,1),(370,1),(384,1),(385,1),(393,1)}
       340:{1,3,5,7}:{(286,1),(287,1),(289,1),(371,1),(385,1),(386,1)}
       341:{1,4,6,7}:{(287,1),(288,1),(290,1),(298,1),(386,1),(387,1)}
       342:{3,6,7}:{(289,1),(290,1),(299,1)}
       343:{2,5,6,7}:{(290,1),(291,1),(300,1),(374,1),(387,1),(388,1),(432,1)}
       344:{1,3,4}:{(292,1),(294,1),(307,1),(375,1),(389,1)}
       345:{1,4,7}:{(292,1),(293,1),(308,1),(376,1),(390,1)}
       346:{1,3,6}:{(293,1),(295,1),(309,1),(377,1),(390,1)}
       347:{2,3,5}:{(294,1),(296,1),(301,1),(389,1),(391,1),(400,1),(438,1),(442,1),(453,1)}
       348:{1,5}:{(296,1),(303,1)}
       349:{2,5,7}:{(296,1),(297,1),(304,1),(392,1),(393,1)}
       350:{1,3,6}:{(297,1),(298,1),(299,1),(393,1)}
       351:{1,5,6}:{(298,1),(300,1),(305,1)}
       352:{3,5,6}:{(299,1),(300,1),(306,1),(394,1)}
       353:{1,3,6}:{(301,1),(303,1),(391,1),(395,1),(396,1)}
       354:{2,3,7}:{(301,1),(302,1),(304,1),(396,1),(402,1),(451,1)}
       355:{1,4,7}:{(303,1),(304,1),(392,1),(396,1)}
       356:{4,5,7}:{(306,1),(394,1),(403,1),(443,1),(452,1),(454,1)}
       357:{2,3,4}:{(307,1),(310,1),(389,1),(397,1),(453,1)}
       358:{3,4,7}:{(307,1),(308,1),(311,1),(398,1),(403,1)}
       359:{2,4,6}:{(308,1),(309,1),(390,1),(398,1),(399,1)}
       360:{1,3,5}:{(310,1),(313,1),(316,1),(397,1),(400,1)}
       361:{3,6}:{(311,1),(312,1)}
       362:{2,5,6}:{(312,1),(314,1),(319,1),(399,1),(401,1)}
       363:{4,5,6}:{(315,1),(321,1),(394,1),(454,1)}
       364:{2,6}:{(316,1),(400,1),(402,1)}
       365:{1,3,7}:{(316,1),(317,1),(320,1),(402,1)}
       366:{3,5,7}:{(318,1),(319,1),(401,1),(403,1)}
       367:{3,6}:{(323,1),(332,1),(405,1)}
       368:{2,4,7}:{(323,1),(324,1),(326,1),(405,1)}
       369:{2,6,7}:{(324,1),(327,1),(334,1)}
       370:{2,4,6}:{(325,1),(335,1),(339,1),(404,1),(407,1),(408,1),(444,1)}
       371:{1,3,4,7}:{(325,1),(326,1),(328,1),(340,1),(405,1),(408,1),(445,1)}
       372:{1,4,6,7}:{(326,1),(327,1),(329,1),(336,1),(406,1),(409,1)}
       373:{3,4,6,7}:{(328,1),(329,1),(337,1),(342,1),(410,1),(420,1)}
       374:{2,5,7}:{(329,1),(338,1),(409,1),(410,1)}
       375:{3,4}:{(330,1),(332,1)}
       376:{2,4,7}:{(330,1),(331,1),(345,1),(412,1),(413,1)}
       377:{2,3,6}:{(331,1),(334,1),(346,1),(413,1),(415,1)}
       378:{2,3,5}:{(332,1),(335,1),(404,1),(411,1),(414,1)}
       379:{3,5,7}:{(332,1),(333,1),(405,1),(412,1),(415,1),(448,1)}
       380:{2,4,6}:{(333,1),(334,1),(336,1),(415,1),(416,1),(449,1)}
       381:{1,4,5}:{(335,1),(348,1),(407,1),(414,1),(421,1)}
       382:{1,5,6}:{(336,1),(338,1),(409,1),(416,1),(422,1)}
       383:{3,5,6}:{(337,1),(338,1),(410,1),(417,1),(427,1)}
       384:{1,5,6}:{(339,1),(348,1),(407,1),(418,1),(424,1)}
       385:{2,5,7}:{(339,1),(340,1),(408,1),(418,1),(419,1)}
       386:{1,3,6,7}:{(340,1),(341,1),(342,1),(350,1),(419,1)}
       387:{1,5,6,7}:{(341,1),(343,1),(351,1),(409,1)}
       388:{3,5,6,7}:{(342,1),(343,1),(352,1),(410,1),(420,1),(446,1)}
       389:{2,4}:{(344,1),(347,1),(421,1)}
       390:{1,4,6}:{(345,1),(346,1),(359,1),(413,1),(422,1)}
       391:{1,3,5}:{(347,1),(348,1),(353,1),(421,1),(423,1),(450,1)}
       392:{1,5,7}:{(348,1),(349,1),(355,1),(424,1)}
       393:{2,6}:{(349,1),(350,1),(424,1)}
       394:{4,6}:{(352,1),(356,1)}
       395:{1,2,6}:{(353,1),(364,1),(423,1),(425,1),(444,1)}
       396:{1,3,7}:{(353,1),(354,1),(355,1),(425,1)}
       397:{1,3,4}:{(357,1),(360,1),(421,1),(426,1),(450,1)}
       398:{3,4,6}:{(358,1),(359,1),(361,1),(427,1),(428,1)}
       399:{2,5}:{(359,1),(422,1),(427,1)}
       400:{2,5}:{(360,1),(364,1),(426,1)}
       401:{3,5,6}:{(361,1),(362,1),(366,1),(427,1),(428,1)}
       402:{2,7}:{(364,1),(365,1)}
       403:{4,7}:{(366,1),(428,1)}
       404:{2,3,6}:{(367,1),(370,1),(378,1),(429,1),(430,1)}
       405:{3,7}:{(367,1),(368,1)}
       406:{2,4,6,7}:{(368,1),(369,1),(372,1),(380,1),(431,1),(432,1),(452,1)}
       407:{1,4,6}:{(370,1),(381,1),(384,1),(429,1),(433,1)}
       408:{2,4,7}:{(370,1),(371,1),(385,1),(430,1),(433,1),(451,1)}
       409:{1,5,7}:{(372,1),(374,1),(382,1),(432,1)}
       410:{3,5,7}:{(373,1),(374,1),(383,1),(434,1)}
       411:{2,3,4}:{(375,1),(378,1),(389,1),(435,1),(442,1)}
       412:{3,4,7}:{(375,1),(376,1),(379,1),(436,1),(452,1)}
       413:{2,4,6}:{(376,1),(377,1),(390,1),(436,1),(437,1)}
       414:{1,3,5}:{(378,1),(381,1),(429,1),(435,1),(438,1)}
       415:{3,6}:{(379,1),(380,1)}
       416:{2,5,6}:{(380,1),(382,1),(432,1),(437,1),(439,1)}
       417:{4,5,6}:{(383,1),(394,1),(434,1),(443,1)}
       418:{1,5,7}:{(384,1),(385,1),(433,1),(440,1)}
       419:{2,6,7}:{(385,1),(386,1),(393,1),(440,1)}
       420:{4,6,7}:{(388,1),(394,1),(434,1),(452,1)}
       421:{1,4}:{(389,1),(391,1)}
       422:{1,5}:{(390,1),(399,1),(437,1)}
       423:{1,2,5}:{(391,1),(395,1),(400,1),(438,1),(441,1)}
       424:{1,6}:{(392,1),(393,1)}
       425:{1,2,7}:{(395,1),(396,1),(402,1),(451,1)}
       426:{2,4}:{(397,1),(400,1),(442,1)}
       427:{3,5}:{(398,1),(399,1),(443,1)}
       428:{4,6}:{(401,1),(403,1),(443,1)}
       429:{1,3,6}:{(404,1),(407,1),(414,1),(444,1),(445,1)}
       430:{2,3,7}:{(404,1),(405,1),(408,1),(445,1)}
       431:{3,6,7}:{(405,1),(406,1),(415,1),(446,1)}
       432:{2,5,7}:{(406,1),(409,1),(416,1),(446,1)}
       433:{1,4,7}:{(407,1),(408,1),(418,1),(445,1)}
       434:{4,5,7}:{(410,1),(417,1),(420,1)}
       435:{1,3,4}:{(411,1),(414,1),(421,1),(447,1),(450,1)}
       436:{3,4,6}:{(412,1),(413,1),(415,1),(448,1),(449,1)}
       437:{2,5}:{(413,1),(422,1),(448,1)}
       438:{2,5}:{(414,1),(444,1),(447,1)}
       439:{3,5,6}:{(415,1),(416,1),(446,1),(448,1),(449,1)}
       440:{1,6,7}:{(418,1),(419,1),(424,1)}
       441:{1,2,4}:{(421,1),(423,1),(426,1),(447,1),(450,1)}
       442:{2,3}:{(426,1),(450,1)}
       443:{4,5}:{(427,1),(428,1)}
       444:{2,6}:{(429,1),(438,1),(451,1)}
       445:{1,3,7}:{(429,1),(430,1),(433,1),(451,1)}
       446:{3,5,7}:{(431,1),(432,1),(439,1),(452,1)}
       447:{2,4}:{(435,1),(438,1),(453,1)}
       448:{3,5}:{(436,1),(437,1),(454,1)}
       449:{4,6}:{(439,1),(452,1),(454,1)}
       450:{1,3}:{(441,1),(442,1),(453,1)}
       451:{2,7}:{(444,1),(445,1)}
       452:{4,7}:{(446,1),(449,1)}
       453:{2,3}:{(447,1),(450,1)}
       454:{4,5}:{(448,1),(449,1)}

 612 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 613 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(37,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(37,1),(45,1),(88,1),(89,1),(90,1),(178,1),(279,1),(287,1),(295,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(68,1),(124,1),(153,1),(242,1),(325,1),(357,1)}
         3:{2,5,6,7}:{(11,1),(15,1),(17,1),(146,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(17,1),(18,1),(58,1),(65,1),(67,1),(146,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(16,1),(18,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(16,1),(21,1),(229,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(346,1),(353,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(67,1),(130,1),(132,1),(231,1),(335,1),(352,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(64,1),(68,1),(76,1),(128,1),(133,1),(143,1),(149,1),(156,1),(246,1),(259,1),(351,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(105,1),(163,1),(202,1),(203,1),(269,1),(313,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(196,1),(276,1),(409,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(94,1),(104,1),(171,1),(196,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(297,1),(407,1)}
        14:{1,3,4,5}:{(6,1),(29,1),(33,1),(44,1),(81,1),(96,1),(112,1),(166,1),(190,1),(272,1),(297,1)}
        15:{3,5,6,7}:{(3,1),(35,1),(38,1),(102,1),(388,1),(479,1)}
        16:{3,4,6}:{(5,1),(6,1),(36,1),(37,1),(468,1)}
        17:{2,4,6,7}:{(3,1),(4,1),(30,1),(35,1),(38,1),(93,1),(393,1)}
        18:{3,5,7}:{(4,1),(5,1),(36,1),(38,1),(278,1)}
        19:{2,3,5,6}:{(5,1),(7,1),(32,1),(37,1),(39,1),(40,1),(45,1),(90,1),(109,1)}
        20:{3,4,5,7}:{(6,1),(36,1),(42,1),(43,1),(102,1),(285,1),(390,1),(398,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(37,1),(44,1),(178,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(405,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(304,1),(316,1),(404,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(100,1),(104,1),(181,1),(192,1),(198,1),(205,1),(403,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(176,1),(182,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(251,1),(368,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(148,1),(220,1),(251,1),(364,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(149,1),(254,1),(366,1)}
        29:{1,3,4,6}:{(13,1),(14,1),(16,1),(51,1),(55,1),(56,1),(68,1),(124,1),(133,1),(149,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(17,1),(52,1),(57,1),(136,1),(357,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(18,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(353,1),(452,1)}
        33:{2,4,5}:{(14,1),(56,1),(60,1),(61,1),(139,1),(244,1),(353,1)}
        34:{1,2,4,6}:{(25,1),(62,1),(63,1),(64,1),(131,1),(141,1),(143,1),(227,1),(235,1),(246,1),(351,1)}
        35:{4,6,7}:{(15,1),(65,1),(437,1),(508,1)}
        36:{3,4,7}:{(16,1),(18,1),(67,1),(437,1)}
        37:{2,4,6}:{(16,1),(19,1),(21,1),(67,1),(68,1)}
        38:{3,6,7}:{(17,1),(18,1),(439,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(58,1),(67,1),(69,1),(70,1),(132,1),(146,1)}
        40:{1,3,5,6}:{(19,1),(23,1),(59,1),(68,1),(70,1),(71,1),(76,1),(133,1),(149,1),(153,1),(258,1)}
        41:{4,5,6}:{(65,1),(72,1),(446,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(67,1),(73,1),(74,1),(146,1),(231,1),(346,1)}
        44:{1,4,5}:{(21,1),(23,1),(68,1),(75,1),(143,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(452,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(450,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(236,1)}
        49:{2,3,6}:{(25,1),(64,1),(78,1),(79,1),(149,1),(228,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(308,1),(415,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(93,1),(313,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(198,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(90,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(36,1),(83,1),(91,1),(104,1),(171,1),(181,1),(198,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(33,1),(90,1),(91,1),(92,1),(182,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(38,1),(85,1),(93,1),(407,1)}
        58:{2,5,7}:{(31,1),(32,1),(91,1),(93,1),(94,1)}
        59:{1,5,6}:{(32,1),(92,1),(94,1),(404,1),(486,1)}
        60:{2,3,5}:{(33,1),(88,1),(90,1),(96,1),(112,1),(272,1)}
        61:{1,4,5}:{(33,1),(92,1),(96,1),(301,1),(404,1)}
        62:{1,2,5}:{(34,1),(47,1),(99,1),(180,1),(304,1),(404,1)}
        63:{1,2,4,7}:{(34,1),(48,1),(98,1),(100,1),(179,1),(192,1),(292,1),(403,1)}
        64:{1,3,6}:{(34,1),(49,1),(89,1),(99,1),(100,1),(283,1)}
        65:{4,5,7}:{(35,1),(41,1),(102,1)}
        66:{3,4,6,7}:{(35,1),(36,1),(38,1),(42,1),(102,1),(103,1)}
        67:{2,4,7}:{(36,1),(37,1),(39,1),(104,1)}
        68:{1,4,6}:{(37,1),(40,1),(44,1),(104,1),(105,1),(315,1)}
        69:{2,3,6,7}:{(38,1),(39,1),(45,1),(93,1),(103,1),(106,1)}
        70:{1,3,5,7}:{(39,1),(40,1),(94,1),(104,1),(106,1),(107,1),(181,1),(196,1),(198,1),(308,1)}
        71:{2,5,6}:{(40,1),(47,1),(105,1),(107,1),(113,1),(182,1)}
        72:{3,5,6}:{(41,1),(42,1),(102,1),(109,1),(398,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(104,1),(110,1),(111,1),(192,1),(196,1),(304,1)}
        75:{2,4,5}:{(44,1),(47,1),(105,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(486,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(99,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(100,1),(198,1)}
        80:{2,3,4,6}:{(49,1),(101,1),(115,1),(116,1),(117,1),(199,1),(207,1),(209,1),(210,1),(284,1),(295,1),(397,1)}
        81:{3,4,5}:{(51,1),(119,1),(254,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(364,1),(457,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(364,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(366,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(132,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(133,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,4}:{(60,1),(128,1),(156,1),(244,1),(328,1),(340,1)}
        89:{2,3,6}:{(64,1),(129,1),(130,1),(131,1),(340,1),(345,1)}
        90:{2,3,6}:{(56,1),(60,1),(132,1),(133,1),(149,1),(223,1)}
        91:{2,4,7}:{(55,1),(56,1),(58,1),(132,1),(134,1),(236,1)}
        92:{1,4,6}:{(56,1),(59,1),(61,1),(133,1),(134,1)}
        93:{2,6,7}:{(57,1),(58,1),(136,1),(452,1)}
        94:{1,5,7}:{(58,1),(59,1),(134,1),(136,1)}
        95:{1,2,5,6}:{(59,1),(62,1),(71,1),(127,1),(135,1),(137,1),(138,1),(141,1),(234,1),(235,1),(321,1),(353,1),(421,1),(451,1),(452,1),(504,1)}
        96:{1,3,5}:{(60,1),(61,1),(128,1),(133,1),(139,1)}
        97:{1,2,4,5}:{(61,1),(62,1),(75,1),(135,1),(139,1),(140,1),(143,1),(217,1),(227,1),(232,1),(242,1),(244,1),(321,1),(353,1),(359,1),(423,1),(443,1),(493,1)}
        98:{1,2,5,7}:{(62,1),(63,1),(77,1),(141,1),(142,1),(233,1),(450,1)}
        99:{1,3,5}:{(62,1),(64,1),(78,1),(129,1),(143,1)}
       100:{1,3,7}:{(63,1),(64,1),(79,1),(130,1)}
       101:{1,3,4,6}:{(64,1),(80,1),(131,1),(143,1),(144,1),(145,1),(229,1),(246,1),(248,1),(249,1),(341,1),(343,1),(345,1),(351,1),(444,1)}
       102:{3,5,7}:{(65,1),(66,1),(72,1),(146,1)}
       103:{2,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(146,1),(147,1)}
       104:{1,4,7}:{(67,1),(68,1),(70,1),(148,1),(364,1)}
       105:{2,4,6}:{(68,1),(71,1),(75,1),(148,1),(149,1)}
       106:{1,3,6,7}:{(69,1),(70,1),(76,1),(136,1),(147,1),(150,1),(252,1)}
       107:{2,5,7}:{(70,1),(71,1),(148,1),(150,1),(236,1)}
       108:{2,3,5,6}:{(71,1),(78,1),(138,1),(149,1),(151,1),(152,1),(157,1),(237,1),(254,1),(258,1),(262,1),(353,1),(366,1),(368,1),(420,1),(452,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       109:{2,5,6}:{(72,1),(73,1),(146,1),(153,1),(346,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(148,1),(154,1),(155,1),(158,1),(251,1),(262,1),(364,1),(370,1)}
       112:{3,5}:{(75,1),(149,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(142,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(143,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(144,1),(158,1),(160,1),(253,1),(264,1),(352,1),(445,1)}
       117:{2,3,5}:{(80,1),(145,1),(159,1),(254,1),(262,1),(353,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(310,1),(414,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(90,1),(162,1),(167,1),(168,1),(199,1),(266,1),(295,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(93,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(94,1),(171,1),(173,1),(174,1),(181,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(182,1),(268,1),(376,1)}
       128:{1,3,4}:{(88,1),(96,1),(176,1),(283,1),(301,1)}
       129:{2,3,5}:{(89,1),(99,1),(178,1),(180,1),(286,1)}
       130:{2,3,7}:{(89,1),(100,1),(179,1),(400,1)}
       131:{2,4,6}:{(89,1),(101,1),(178,1),(179,1),(180,1),(290,1),(395,1),(482,1)}
       132:{2,3,7}:{(90,1),(91,1),(181,1),(198,1),(278,1)}
       133:{1,3,6}:{(90,1),(92,1),(96,1),(181,1),(182,1)}
       134:{1,4,7}:{(91,1),(92,1),(94,1),(181,1)}
       135:{1,2,4,6}:{(92,1),(95,1),(97,1),(105,1),(172,1),(182,1),(183,1),(184,1),(187,1),(289,1),(295,1),(411,1),(482,1),(517,1)}
       136:{1,6,7}:{(93,1),(94,1),(486,1)}
       137:{1,2,5,7}:{(94,1),(95,1),(107,1),(174,1),(183,1),(185,1),(186,1),(291,1),(292,1),(405,1),(487,1),(526,1)}
       138:{1,3,5,6}:{(95,1),(99,1),(108,1),(175,1),(184,1),(186,1),(187,1),(191,1),(293,1),(297,1),(304,1),(375,1),(404,1),(407,1),(409,1),(462,1),(486,1),(518,1)}
       139:{2,5}:{(96,1),(176,1),(182,1)}
       140:{1,3,5}:{(97,1),(112,1),(184,1),(189,1),(190,1),(272,1),(283,1),(286,1),(514,1)}
       141:{1,2,6}:{(98,1),(113,1),(191,1),(290,1),(486,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(100,1),(114,1),(177,1),(191,1),(192,1),(304,1)}
       143:{1,4}:{(99,1),(115,1),(178,1)}
       144:{1,3,4,7}:{(100,1),(101,1),(116,1),(179,1),(192,1),(194,1),(285,1),(306,1),(400,1),(403,1),(483,1)}
       145:{1,3,5}:{(101,1),(117,1),(180,1),(193,1),(286,1),(304,1),(398,1),(404,1)}
       146:{2,5,7}:{(102,1),(103,1),(109,1),(196,1)}
       147:{1,4,6,7}:{(103,1),(104,1),(106,1),(110,1),(196,1),(197,1)}
       148:{2,4,7}:{(104,1),(105,1),(107,1),(198,1)}
       149:{3,6}:{(105,1),(112,1),(198,1)}
       150:{2,6,7}:{(106,1),(107,1),(113,1)}
       151:{2,3,5,7}:{(107,1),(108,1),(186,1),(198,1),(200,1),(201,1),(294,1),(308,1),(310,1),(312,1),(405,1),(526,1),(542,1),(551,1)}
       152:{2,4,6}:{(108,1),(115,1),(187,1),(199,1),(201,1),(202,1),(315,1),(461,1),(550,1)}
       153:{1,5,6}:{(109,1),(110,1),(196,1),(203,1),(304,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(198,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(191,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(192,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(193,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(194,1),(208,1),(210,1),(310,1),(405,1)}
       161:{2,3,5,6}:{(117,1),(195,1),(209,1),(210,1),(211,1),(311,1),(319,1),(397,1),(406,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(254,1),(353,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(457,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(366,1),(457,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(132,1),(212,1),(218,1),(253,1),(352,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(128,1),(133,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(351,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(136,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(236,1)}
       175:{2,3,5,6}:{(127,1),(129,1),(138,1),(223,1),(225,1),(226,1),(230,1),(234,1),(237,1),(324,1),(336,1),(345,1),(346,1),(353,1),(424,1),(427,1),(439,1),(441,1),(447,1),(452,1),(497,1)}
       176:{2,4}:{(128,1),(139,1),(228,1)}
       177:{2,3,5,7}:{(129,1),(130,1),(142,1),(230,1),(231,1),(233,1),(344,1),(346,1)}
       178:{2,4}:{(129,1),(143,1),(229,1)}
       179:{2,4,7}:{(130,1),(131,1),(144,1),(233,1),(510,1)}
       180:{2,5}:{(131,1),(145,1)}
       181:{1,3,7}:{(132,1),(133,1),(134,1),(236,1)}
       182:{2,6}:{(133,1),(139,1),(236,1)}
       183:{1,2,4,7}:{(134,1),(135,1),(137,1),(148,1),(222,1),(236,1),(238,1),(241,1),(348,1),(352,1),(456,1),(510,1),(534,1)}
       184:{1,3,6}:{(135,1),(140,1),(149,1),(223,1),(237,1),(238,1),(345,1),(531,1)}
       185:{1,2,6,7}:{(136,1),(137,1),(141,1),(150,1),(224,1),(240,1),(349,1),(421,1),(452,1),(512,1),(539,1)}
       186:{1,3,5,7}:{(137,1),(138,1),(151,1),(225,1),(238,1),(240,1),(241,1),(350,1),(356,1),(450,1)}
       187:{1,4,6}:{(138,1),(143,1),(152,1),(226,1),(241,1),(242,1),(423,1)}
       188:{1,2,5}:{(139,1),(227,1),(235,1),(243,1),(443,1)}
       189:{2,3,5}:{(139,1),(140,1),(228,1),(237,1),(243,1),(244,1),(340,1),(353,1),(443,1)}
       190:{1,3,4}:{(140,1),(143,1),(156,1),(229,1),(244,1),(328,1),(423,1),(490,1)}
       191:{1,3,6}:{(141,1),(142,1),(157,1),(230,1),(246,1)}
       192:{1,4,7}:{(142,1),(143,1),(158,1),(231,1),(246,1)}
       193:{1,4,5}:{(143,1),(145,1),(159,1),(232,1),(248,1),(446,1)}
       194:{1,3,5,7}:{(144,1),(145,1),(160,1),(233,1),(247,1),(249,1),(344,1),(450,1)}
       195:{1,3,5,6}:{(145,1),(161,1),(234,1),(248,1),(249,1),(250,1),(345,1),(362,1),(444,1),(447,1),(451,1)}
       196:{1,5,7}:{(146,1),(147,1),(153,1),(251,1)}
       197:{2,4,6,7}:{(147,1),(148,1),(150,1),(154,1),(251,1),(252,1),(364,1)}
       198:{3,7}:{(148,1),(149,1)}
       199:{3,4,6}:{(149,1),(152,1),(156,1),(253,1),(254,1),(366,1),(490,1),(531,1)}
       200:{2,3,6,7}:{(150,1),(151,1),(157,1),(240,1),(252,1),(255,1),(366,1),(452,1),(491,1),(539,1),(548,1)}
       201:{2,4,7}:{(151,1),(152,1),(241,1),(253,1),(364,1),(552,1)}
       202:{2,4,5}:{(152,1),(242,1),(254,1),(262,1),(353,1),(370,1),(532,1),(546,1)}
       203:{2,5,6}:{(153,1),(154,1),(251,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(364,1)}
       206:{3,4,5}:{(156,1),(159,1),(254,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(246,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(247,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(248,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(249,1),(263,1),(366,1),(452,1)}
       211:{2,3,5,7}:{(161,1),(250,1),(264,1),(265,1),(367,1),(373,1),(445,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(310,1),(405,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(404,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(181,1),(267,1),(274,1),(278,1),(381,1),(384,1),(403,1),(463,1)}
       219:{2,4,6}:{(168,1),(176,1),(182,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(186,1),(278,1),(280,1),(281,1),(291,1),(294,1),(388,1),(390,1),(392,1),(400,1),(405,1),(485,1)}
       226:{2,4,6}:{(175,1),(178,1),(187,1),(279,1),(281,1),(282,1),(378,1),(468,1),(484,1)}
       227:{1,2,4}:{(176,1),(188,1),(283,1),(301,1),(395,1)}
       228:{2,3}:{(176,1),(283,1)}
       229:{3,4}:{(178,1),(286,1)}
       230:{2,3,6}:{(177,1),(191,1),(287,1),(290,1),(399,1)}
       231:{2,4,7}:{(177,1),(178,1),(192,1),(285,1),(287,1)}
       232:{2,4,5}:{(178,1),(180,1),(193,1),(286,1),(289,1)}
       233:{2,5,7}:{(179,1),(180,1),(194,1),(290,1)}
       234:{2,5,6}:{(180,1),(195,1),(289,1),(290,1),(291,1),(482,1)}
       235:{1,2,6}:{(182,1),(188,1),(292,1),(293,1),(482,1)}
       236:{2,7}:{(181,1),(182,1)}
       237:{2,3,6}:{(182,1),(184,1),(189,1),(293,1),(294,1),(295,1),(482,1)}
       238:{1,3,7}:{(183,1),(184,1),(198,1),(278,1),(294,1),(400,1),(542,1)}
       239:{1,3,4,6}:{(184,1),(187,1),(190,1),(199,1),(279,1),(295,1),(296,1),(297,1),(407,1)}
       240:{1,3,6,7}:{(185,1),(186,1),(191,1),(200,1),(280,1),(298,1),(407,1),(462,1),(486,1)}
       241:{1,4,7}:{(186,1),(187,1),(201,1),(281,1)}
       242:{1,4,5}:{(187,1),(202,1),(282,1),(297,1),(304,1),(404,1),(518,1)}
       243:{1,3,5}:{(188,1),(189,1),(283,1),(293,1),(301,1),(404,1)}
       244:{2,4}:{(189,1),(190,1),(301,1)}
       245:{1,3,4,5}:{(190,1),(193,1),(206,1),(286,1),(297,1),(302,1),(303,1),(382,1),(396,1),(464,1),(514,1)}
       246:{1,4,6}:{(191,1),(192,1),(207,1),(287,1),(304,1)}
       247:{1,4,5,7}:{(192,1),(193,1),(194,1),(208,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       248:{1,4,6}:{(193,1),(195,1),(209,1),(289,1),(306,1),(484,1)}
       249:{1,3,6}:{(194,1),(210,1),(290,1),(305,1),(399,1),(486,1)}
       250:{1,3,5,7}:{(195,1),(211,1),(291,1),(306,1),(307,1),(400,1),(413,1),(483,1),(485,1),(487,1)}
       251:{2,5,7}:{(196,1),(197,1),(203,1),(308,1)}
       252:{3,6,7}:{(197,1),(198,1),(204,1),(308,1)}
       253:{3,4,7}:{(198,1),(199,1),(201,1),(310,1),(542,1)}
       254:{3,5}:{(199,1),(202,1)}
       255:{2,4,6,7}:{(200,1),(201,1),(207,1),(298,1),(309,1),(312,1),(313,1),(515,1)}
       256:{2,4,5,7}:{(201,1),(202,1),(299,1),(310,1),(312,1),(313,1),(405,1),(414,1)}
       257:{2,4,5,6}:{(202,1),(209,1),(300,1),(311,1),(313,1),(314,1),(319,1),(406,1),(418,1),(517,1),(543,1),(550,1)}
       258:{3,5,6}:{(203,1),(204,1),(308,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(310,1),(316,1),(317,1),(318,1),(414,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(311,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(304,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(305,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(306,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(307,1),(320,1),(416,1),(488,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(366,1),(452,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(450,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(235,1),(321,1),(329,1),(330,1),(351,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(236,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(228,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(229,1),(328,1),(335,1),(336,1),(345,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(230,1),(240,1),(334,1),(337,1),(349,1),(424,1),(439,1),(448,1),(452,1)}
       281:{2,4,7}:{(225,1),(226,1),(241,1),(335,1),(437,1),(511,1)}
       282:{2,4,5}:{(226,1),(242,1),(336,1),(346,1),(353,1),(446,1),(497,1),(500,1)}
       283:{1,3}:{(227,1),(228,1),(340,1)}
       284:{2,3,4}:{(228,1),(229,1),(244,1),(341,1),(342,1),(490,1)}
       285:{3,4,7}:{(229,1),(231,1),(343,1),(344,1),(511,1)}
       286:{3,5}:{(229,1),(232,1),(345,1)}
       287:{2,4,6}:{(230,1),(231,1),(246,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(231,1),(232,1),(233,1),(247,1),(344,1),(346,1),(347,1),(348,1),(446,1),(449,1),(511,1)}
       289:{2,4,6}:{(232,1),(234,1),(248,1),(345,1),(348,1)}
       290:{2,6}:{(233,1),(249,1)}
       291:{2,5,7}:{(234,1),(250,1),(348,1),(349,1),(510,1)}
       292:{1,2,7}:{(235,1),(236,1),(350,1),(510,1)}
       293:{1,3,6}:{(235,1),(237,1),(243,1),(350,1),(351,1)}
       294:{2,3,7}:{(236,1),(237,1),(238,1),(350,1),(352,1),(510,1)}
       295:{2,4,6}:{(237,1),(239,1),(244,1),(351,1),(352,1),(353,1),(452,1)}
       296:{1,3,4,7}:{(238,1),(239,1),(241,1),(253,1),(335,1),(352,1),(354,1)}
       297:{1,3,5}:{(239,1),(242,1),(254,1),(336,1),(353,1)}
       298:{1,4,6,7}:{(240,1),(241,1),(246,1),(255,1),(337,1),(356,1),(357,1),(494,1)}
       299:{1,4,5,7}:{(241,1),(242,1),(256,1),(338,1),(354,1),(356,1),(357,1),(450,1)}
       300:{1,4,5,6}:{(242,1),(248,1),(257,1),(339,1),(355,1),(357,1),(358,1),(362,1),(451,1),(496,1),(535,1)}
       301:{1,4}:{(243,1),(244,1)}
       302:{2,4,5}:{(244,1),(245,1),(342,1),(353,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(245,1),(248,1),(261,1),(345,1),(355,1),(360,1),(361,1),(430,1),(444,1),(496,1),(531,1)}
       304:{1,5}:{(246,1),(262,1),(346,1)}
       305:{1,4,6}:{(247,1),(249,1),(263,1),(347,1),(362,1)}
       306:{1,4,7}:{(248,1),(250,1),(264,1),(348,1),(511,1)}
       307:{1,3,6,7}:{(249,1),(250,1),(265,1),(349,1),(363,1),(448,1),(512,1)}
       308:{3,5,7}:{(251,1),(252,1),(258,1),(364,1)}
       309:{3,4,6,7}:{(252,1),(253,1),(255,1),(259,1),(364,1),(365,1),(366,1),(457,1),(529,1),(548,1),(552,1)}
       310:{3,5,7}:{(253,1),(254,1),(256,1),(366,1)}
       311:{3,5,6}:{(254,1),(257,1),(261,1),(366,1),(367,1),(531,1)}
       312:{2,5,7}:{(255,1),(262,1),(356,1),(365,1),(368,1),(532,1)}
       313:{2,4,6}:{(256,1),(357,1),(366,1),(368,1),(452,1),(457,1)}
       314:{2,4,5,7}:{(257,1),(264,1),(358,1),(367,1),(369,1),(373,1),(453,1),(459,1),(534,1),(549,1),(552,1)}
       315:{4,6}:{(258,1),(364,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(366,1),(371,1),(457,1)}
       318:{3,4,7}:{(261,1),(264,1),(367,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(362,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(363,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(404,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(486,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(292,1),(374,1),(384,1),(403,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(283,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(284,1),(295,1),(378,1),(385,1),(386,1),(387,1),(397,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(400,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(287,1),(298,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(299,1),(390,1),(392,1),(393,1),(405,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(289,1),(300,1),(391,1),(393,1),(394,1),(401,1),(406,1),(467,1),(484,1),(521,1),(523,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(286,1),(302,1),(396,1),(397,1),(514,1)}
       343:{3,4,6}:{(285,1),(287,1),(398,1),(399,1),(484,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,6}:{(286,1),(289,1),(400,1)}
       346:{2,5}:{(287,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(290,1),(305,1),(399,1),(401,1),(484,1)}
       348:{2,4,7}:{(289,1),(291,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,3,7}:{(292,1),(293,1),(294,1),(403,1)}
       351:{1,4,6}:{(293,1),(295,1),(301,1),(403,1),(404,1),(486,1)}
       352:{2,4,7}:{(294,1),(295,1),(296,1),(403,1),(405,1)}
       353:{2,5}:{(295,1),(297,1),(404,1)}
       354:{1,3,5,7}:{(296,1),(297,1),(299,1),(310,1),(390,1),(405,1),(407,1)}
       355:{1,3,5,6}:{(297,1),(300,1),(303,1),(311,1),(391,1),(406,1),(407,1),(408,1)}
       356:{1,5,7}:{(298,1),(304,1),(312,1),(392,1),(409,1),(518,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(407,1),(409,1),(486,1)}
       358:{1,4,5,7}:{(300,1),(306,1),(314,1),(394,1),(408,1),(410,1),(413,1),(487,1),(520,1),(545,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(404,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(406,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(306,1),(318,1),(400,1),(408,1),(412,1),(471,1),(483,1),(520,1),(542,1)}
       362:{1,5,6}:{(304,1),(305,1),(319,1),(401,1),(413,1)}
       363:{1,4,6,7}:{(305,1),(306,1),(307,1),(320,1),(402,1),(413,1)}
       364:{4,7}:{(308,1),(315,1)}
       365:{3,5,7}:{(309,1),(312,1),(316,1),(414,1),(415,1),(540,1)}
       366:{3,6}:{(310,1),(313,1)}
       367:{3,5,7}:{(311,1),(314,1),(318,1),(416,1),(542,1)}
       368:{2,5,6}:{(312,1),(313,1),(409,1),(415,1)}
       369:{2,4,6,7}:{(313,1),(314,1),(410,1),(416,1),(417,1),(488,1),(489,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(416,1),(419,1),(489,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(450,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(446,1)}
       383:{2,3,6}:{(330,1),(340,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(351,1),(423,1),(432,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(352,1),(425,1),(433,1),(435,1),(445,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(353,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(343,1),(428,1),(437,1),(438,1),(439,1),(448,1),(508,1),(511,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(345,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(356,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(357,1),(439,1),(441,1),(452,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(358,1),(440,1),(442,1),(449,1),(453,1),(499,1),(511,1),(537,1),(538,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(345,1),(360,1),(444,1),(445,1),(531,1)}
       398:{3,5}:{(343,1),(346,1),(446,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,7}:{(345,1),(348,1)}
       401:{2,5,6}:{(346,1),(347,1),(362,1),(447,1),(449,1)}
       402:{2,4,6,7}:{(347,1),(348,1),(349,1),(363,1),(448,1),(449,1),(511,1)}
       403:{1,4,7}:{(350,1),(351,1),(352,1),(450,1)}
       404:{1,5}:{(351,1),(353,1)}
       405:{2,5,7}:{(352,1),(353,1),(354,1),(450,1),(452,1)}
       406:{2,5,6}:{(353,1),(355,1),(360,1),(451,1),(452,1),(453,1)}
       407:{1,3,6}:{(354,1),(357,1),(366,1),(439,1),(452,1)}
       408:{1,3,5,7}:{(355,1),(358,1),(361,1),(367,1),(440,1),(453,1),(454,1)}
       409:{1,5,6}:{(356,1),(357,1),(368,1),(441,1)}
       410:{1,4,6,7}:{(357,1),(358,1),(369,1),(442,1),(454,1),(455,1),(512,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(451,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(453,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{4,5,7}:{(364,1),(365,1),(370,1),(457,1),(546,1),(552,1)}
       415:{3,5,6}:{(365,1),(366,1),(368,1),(457,1)}
       416:{3,6,7}:{(366,1),(367,1),(369,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(458,1),(549,1)}
       418:{4,5,6}:{(370,1),(371,1),(457,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(486,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(484,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(395,1),(461,1),(472,1),(473,1),(482,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(403,1),(463,1),(472,1),(474,1),(483,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(404,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(405,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(397,1),(406,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(398,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(400,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(409,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(410,1),(480,1),(481,1),(488,1),(528,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(400,1),(412,1),(483,1),(542,1)}
       446:{4,5}:{(398,1),(484,1)}
       447:{3,5,6}:{(398,1),(399,1),(401,1),(484,1),(485,1)}
       448:{3,6,7}:{(399,1),(400,1),(402,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(485,1)}
       450:{1,5,7}:{(403,1),(404,1),(405,1),(486,1)}
       451:{1,5,6}:{(404,1),(406,1),(411,1),(486,1),(487,1)}
       452:{2,6}:{(405,1),(407,1),(486,1)}
       453:{2,5,7}:{(406,1),(408,1),(412,1),(487,1),(488,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(410,1),(416,1),(480,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(487,1)}
       457:{4,6}:{(414,1),(415,1)}
       458:{3,5,6,7}:{(415,1),(416,1),(417,1),(419,1),(489,1),(551,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(511,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(510,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(450,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(451,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(452,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(445,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(446,1),(500,1),(508,1),(511,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(509,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{4,6}:{(446,1),(447,1),(511,1)}
       485:{3,5,7}:{(447,1),(448,1),(449,1),(511,1)}
       486:{1,6}:{(450,1),(452,1)}
       487:{1,5,7}:{(451,1),(453,1),(456,1),(512,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(482,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(486,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(488,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(485,1),(524,1),(528,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(510,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 614 :   0:{2,5,6,7}:{(2,1),(3,1),(5,1),(96,1),(256,1),(372,1)}
         1:{2,3,4,7}:{(7,1),(8,1),(9,1),(83,1),(101,1),(166,1),(171,1),(370,1),(384,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(11,1),(138,1),(204,1),(335,1)}
         3:{3,5,6,7}:{(0,1),(13,1),(18,1),(61,1),(310,1),(408,1)}
         4:{3,4,5,7}:{(15,1),(16,1),(22,1),(61,1),(66,1),(208,1),(314,1),(407,1),(416,1)}
         5:{2,4,6,7}:{(0,1),(11,1),(13,1),(17,1),(18,1),(54,1),(417,1)}
         6:{2,4,5,6}:{(12,1),(14,1),(17,1),(19,1),(56,1),(63,1),(69,1),(214,1),(307,1),(323,1),(403,1),(417,1)}
         7:{2,3,5,7}:{(1,1),(16,1),(20,1),(21,1),(23,1),(416,1),(429,1)}
         8:{2,3,4,6}:{(1,1),(20,1),(23,1),(24,1),(69,1),(122,1),(123,1),(128,1),(216,1),(219,1),(322,1),(337,1)}
         9:{1,3,4,7}:{(1,1),(21,1),(24,1),(25,1),(60,1),(132,1),(142,1),(143,1),(222,1),(242,1),(428,1)}
        10:{2,5,6,7}:{(2,1),(26,1),(27,1),(156,1),(185,1),(299,1)}
        11:{1,4,6,7}:{(2,1),(5,1),(27,1),(29,1),(30,1),(86,1),(386,1)}
        12:{1,4,5,6}:{(6,1),(28,1),(29,1),(31,1),(88,1),(98,1),(104,1),(163,1),(253,1),(284,1),(386,1)}
        13:{4,6,7}:{(3,1),(34,1),(360,1),(446,1)}
        14:{4,5,6}:{(34,1),(36,1),(365,1),(446,1)}
        15:{3,4,6}:{(4,1),(36,1),(37,1),(446,1),(456,1)}
        16:{2,4,5,7}:{(4,1),(7,1),(37,1),(38,1),(45,1),(96,1),(101,1),(166,1),(269,1)}
        17:{2,4,5,7}:{(5,1),(6,1),(29,1),(34,1),(39,1),(85,1),(96,1),(101,1),(256,1),(263,1),(360,1)}
        18:{3,6,7}:{(5,1),(39,1),(456,1)}
        19:{3,5,6}:{(6,1),(39,1),(41,1),(267,1),(375,1),(456,1)}
        20:{2,3,6}:{(7,1),(37,1),(43,1),(456,1),(466,1)}
        21:{1,3,5,7}:{(7,1),(9,1),(38,1),(43,1),(44,1),(46,1),(100,1),(465,1)}
        22:{3,4,5}:{(41,1),(45,1),(273,1),(375,1),(442,1)}
        23:{2,3,5}:{(8,1),(45,1),(46,1),(269,1),(375,1),(389,1)}
        24:{1,3,4,6}:{(8,1),(9,1),(43,1),(46,1),(47,1),(94,1),(104,1),(167,1),(175,1),(178,1),(182,1),(188,1),(193,1),(197,1),(388,1)}
        25:{2,4,7}:{(9,1),(44,1),(47,1),(48,1),(277,1)}
        26:{3,5,6,7}:{(10,1),(49,1),(51,1),(113,1),(237,1),(346,1)}
        27:{2,4,6,7}:{(10,1),(11,1),(49,1),(50,1),(51,1),(54,1),(350,1)}
        28:{2,4,5,6}:{(12,1),(50,1),(52,1),(56,1),(112,1),(119,1),(140,1),(146,1),(202,1),(239,1),(246,1),(350,1)}
        29:{1,4,5,7}:{(11,1),(12,1),(17,1),(50,1),(53,1),(126,1),(138,1),(143,1),(204,1),(210,1)}
        30:{1,3,6,7}:{(11,1),(18,1),(51,1),(53,1),(54,1),(430,1)}
        31:{1,3,5,6}:{(12,1),(19,1),(52,1),(53,1),(55,1),(56,1),(338,1),(430,1)}
        32:{1,3,4,5}:{(22,1),(55,1),(58,1),(73,1),(115,1),(133,1),(150,1),(207,1),(233,1),(313,1),(338,1)}
        33:{1,2,4,7}:{(25,1),(57,1),(59,1),(60,1),(124,1),(132,1),(331,1),(428,1)}
        34:{4,5,7}:{(13,1),(14,1),(61,1)}
        35:{3,4,6,7}:{(13,1),(15,1),(18,1),(61,1),(62,1),(66,1)}
        36:{3,5,6}:{(14,1),(15,1),(61,1),(63,1),(314,1)}
        37:{2,4,6}:{(15,1),(16,1),(20,1),(63,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(21,1),(64,1),(65,1),(73,1),(132,1),(138,1),(143,1),(229,1)}
        39:{3,5,7}:{(17,1),(18,1),(19,1),(66,1),(317,1)}
        40:{2,3,6,7}:{(18,1),(20,1),(54,1),(62,1),(67,1),(68,1)}
        41:{3,4,6}:{(19,1),(22,1),(66,1),(69,1),(403,1)}
        42:{2,3,5,6}:{(19,1),(20,1),(23,1),(56,1),(63,1),(67,1),(69,1),(70,1),(128,1)}
        43:{1,3,6}:{(20,1),(21,1),(64,1),(71,1),(141,1),(493,1)}
        44:{2,5,7}:{(21,1),(25,1),(71,1),(74,1)}
        45:{2,4,5}:{(22,1),(23,1),(69,1),(73,1),(219,1)}
        46:{1,3,5}:{(23,1),(24,1),(73,1),(74,1),(150,1),(229,1),(240,1),(432,1)}
        47:{2,4,6}:{(24,1),(25,1),(71,1),(74,1),(75,1),(151,1),(218,1),(226,1)}
        48:{2,3,7}:{(25,1),(60,1),(75,1),(242,1)}
        49:{4,6,7}:{(26,1),(77,1),(292,1),(395,1)}
        50:{2,4,5,7}:{(27,1),(28,1),(29,1),(77,1),(79,1),(85,1),(156,1),(159,1),(185,1),(190,1),(292,1)}
        51:{3,6,7}:{(27,1),(79,1),(398,1)}
        52:{3,5,6}:{(28,1),(79,1),(81,1),(193,1),(300,1),(398,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(39,1),(79,1),(84,1),(85,1)}
        54:{2,6,7}:{(30,1),(85,1),(86,1),(466,1)}
        55:{1,3,4,6}:{(31,1),(32,1),(41,1),(81,1),(84,1),(87,1),(104,1),(163,1),(175,1),(193,1),(267,1)}
        56:{2,5,6}:{(31,1),(85,1),(87,1),(88,1),(389,1),(466,1)}
        57:{1,2,5,7}:{(33,1),(44,1),(89,1),(90,1),(93,1),(170,1),(465,1)}
        58:{2,4,5}:{(32,1),(87,1),(91,1),(92,1),(180,1),(288,1),(389,1)}
        59:{1,2,4,6}:{(33,1),(47,1),(89,1),(93,1),(94,1),(169,1),(178,1),(182,1),(271,1),(281,1),(388,1)}
        60:{1,3,7}:{(33,1),(48,1),(83,1),(94,1)}
        61:{3,5,7}:{(34,1),(35,1),(36,1),(96,1)}
        62:{2,4,6,7}:{(35,1),(37,1),(40,1),(96,1),(97,1),(101,1)}
        63:{2,5,6}:{(36,1),(37,1),(96,1),(98,1),(269,1)}
        64:{1,4,6}:{(37,1),(38,1),(43,1),(98,1),(99,1)}
        65:{2,4,5,7}:{(38,1),(44,1),(99,1),(100,1),(107,1),(108,1),(185,1),(190,1),(195,1),(292,1),(294,1)}
        66:{3,4,7}:{(39,1),(41,1),(101,1),(360,1)}
        67:{2,3,5,7}:{(39,1),(40,1),(42,1),(85,1),(96,1),(101,1),(102,1),(171,1)}
        68:{1,3,6,7}:{(40,1),(43,1),(86,1),(97,1),(102,1),(103,1),(186,1)}
        69:{2,4,6}:{(41,1),(42,1),(45,1),(101,1),(104,1)}
        70:{1,3,5,6}:{(42,1),(43,1),(46,1),(88,1),(98,1),(102,1),(104,1),(105,1),(175,1),(187,1),(193,1)}
        71:{2,6}:{(43,1),(44,1)}
        72:{2,3,5,7}:{(44,1),(48,1),(90,1),(100,1),(106,1),(107,1),(109,1),(195,1)}
        73:{1,4,5}:{(45,1),(46,1),(104,1),(108,1),(182,1),(294,1)}
        74:{2,5}:{(46,1),(47,1)}
        75:{2,3,6}:{(47,1),(48,1),(94,1),(109,1),(193,1),(272,1)}
        76:{2,3,4,7}:{(48,1),(95,1),(107,1),(110,1),(111,1),(297,1),(304,1),(384,1),(464,1)}
        77:{4,5,7}:{(49,1),(112,1),(113,1)}
        78:{3,4,6,7}:{(49,1),(51,1),(113,1),(114,1),(116,1),(201,1)}
        79:{3,5,7}:{(50,1),(51,1),(52,1),(116,1),(242,1)}
        80:{2,3,6,7}:{(51,1),(54,1),(114,1),(117,1),(118,1),(305,1)}
        81:{3,4,6}:{(52,1),(115,1),(116,1),(119,1),(239,1)}
        82:{2,3,5,6}:{(52,1),(56,1),(117,1),(119,1),(120,1),(128,1),(202,1),(206,1),(305,1)}
        83:{2,3,7}:{(60,1),(123,1),(124,1),(427,1)}
        84:{1,3,4,7}:{(53,1),(55,1),(66,1),(116,1),(125,1),(143,1),(210,1),(222,1),(242,1),(317,1)}
        85:{2,5,7}:{(53,1),(54,1),(56,1),(125,1),(126,1)}
        86:{1,6,7}:{(54,1),(126,1),(493,1)}
        87:{2,4,6}:{(55,1),(56,1),(58,1),(125,1),(128,1),(129,1),(226,1)}
        88:{1,5,6}:{(56,1),(126,1),(129,1),(432,1),(493,1)}
        89:{1,2,6}:{(57,1),(71,1),(131,1),(221,1),(493,1)}
        90:{1,3,5,7}:{(57,1),(60,1),(72,1),(121,1),(131,1),(132,1),(135,1),(229,1)}
        91:{2,3,5}:{(58,1),(122,1),(128,1),(133,1),(150,1),(313,1)}
        92:{1,4,5}:{(58,1),(129,1),(133,1),(341,1),(432,1)}
        93:{1,2,5}:{(59,1),(74,1),(135,1),(220,1),(229,1),(432,1)}
        94:{1,3,6}:{(59,1),(60,1),(75,1),(123,1),(135,1),(326,1)}
        95:{1,3,4,7}:{(60,1),(76,1),(124,1),(132,1),(136,1),(137,1),(208,1),(344,1),(427,1),(428,1),(492,1)}
        96:{2,5,7}:{(61,1),(62,1),(63,1),(138,1)}
        97:{1,4,6,7}:{(62,1),(64,1),(68,1),(138,1),(139,1),(143,1)}
        98:{1,5,6}:{(63,1),(64,1),(138,1),(140,1),(229,1)}
        99:{2,4,6}:{(64,1),(65,1),(71,1),(140,1),(141,1),(239,1)}
       100:{3,5,7}:{(65,1),(141,1),(142,1),(150,1),(240,1),(242,1)}
       101:{2,4,7}:{(66,1),(67,1),(69,1),(143,1)}
       102:{1,3,5,7}:{(67,1),(68,1),(70,1),(126,1),(138,1),(143,1),(144,1),(222,1),(237,1),(242,1)}
       103:{2,6,7}:{(68,1),(71,1),(144,1)}
       104:{1,4,6}:{(69,1),(70,1),(73,1),(143,1),(146,1),(239,1)}
       105:{2,5,6}:{(70,1),(71,1),(74,1),(144,1),(146,1),(226,1)}
       106:{2,3,6}:{(71,1),(72,1),(131,1),(141,1),(148,1)}
       107:{2,4,7}:{(72,1),(132,1),(142,1),(148,1),(151,1)}
       108:{2,4,5}:{(73,1),(74,1),(146,1),(150,1),(151,1)}
       109:{2,3,5}:{(74,1),(75,1),(135,1),(150,1),(151,1)}
       110:{2,3,4,6}:{(75,1),(76,1),(136,1),(148,1),(151,1),(152,1),(153,1),(245,1),(250,1),(327,1),(337,1),(426,1)}
       111:{2,3,5,7}:{(76,1),(137,1),(149,1),(152,1),(153,1),(349,1),(429,1)}
       112:{4,5,6}:{(77,1),(154,1),(395,1),(546,1)}
       113:{3,5,7}:{(77,1),(78,1),(154,1),(156,1)}
       114:{2,4,6,7}:{(78,1),(80,1),(156,1),(157,1),(159,1),(252,1)}
       115:{3,4,5}:{(81,1),(158,1),(294,1),(300,1),(505,1)}
       116:{3,4,7}:{(79,1),(81,1),(159,1),(292,1)}
       117:{2,3,5,7}:{(79,1),(80,1),(82,1),(85,1),(156,1),(159,1),(160,1),(171,1)}
       118:{1,3,6,7}:{(80,1),(86,1),(157,1),(160,1),(161,1),(257,1),(355,1)}
       119:{2,4,6}:{(81,1),(82,1),(158,1),(159,1),(163,1)}
       120:{1,3,5,6}:{(82,1),(88,1),(160,1),(163,1),(164,1),(175,1),(253,1),(258,1),(267,1),(355,1),(357,1)}
       121:{2,3,5,7}:{(83,1),(90,1),(165,1),(166,1),(168,1),(170,1),(261,1),(269,1)}
       122:{2,3,4}:{(91,1),(167,1),(197,1),(288,1),(364,1),(378,1)}
       123:{2,3,6}:{(83,1),(94,1),(168,1),(169,1),(378,1),(381,1)}
       124:{2,4,7}:{(83,1),(95,1),(169,1),(170,1),(514,1)}
       125:{2,4,7}:{(84,1),(85,1),(87,1),(171,1),(172,1),(277,1)}
       126:{1,5,7}:{(85,1),(86,1),(88,1),(172,1)}
       127:{1,2,6,7}:{(86,1),(89,1),(103,1),(161,1),(173,1),(174,1),(276,1),(439,1),(466,1),(515,1),(539,1)}
       128:{2,3,6}:{(87,1),(91,1),(171,1),(175,1),(193,1),(267,1)}
       129:{1,4,6}:{(87,1),(88,1),(92,1),(172,1),(175,1)}
       130:{1,2,5,6}:{(88,1),(89,1),(93,1),(105,1),(164,1),(173,1),(176,1),(177,1),(275,1),(281,1),(362,1),(389,1),(439,1),(466,1),(468,1),(512,1)}
       131:{1,3,6}:{(89,1),(90,1),(106,1),(165,1),(178,1)}
       132:{1,4,7}:{(90,1),(107,1),(166,1),(178,1),(182,1)}
       133:{1,3,5}:{(91,1),(92,1),(167,1),(175,1),(180,1)}
       134:{1,2,4,5}:{(92,1),(93,1),(108,1),(176,1),(180,1),(181,1),(182,1),(259,1),(271,1),(274,1),(284,1),(288,1),(362,1),(389,1),(392,1),(449,1),(462,1),(506,1)}
       135:{1,3,5}:{(93,1),(94,1),(109,1),(168,1),(182,1)}
       136:{1,3,4,6}:{(94,1),(95,1),(110,1),(169,1),(178,1),(182,1),(183,1),(184,1),(260,1),(273,1),(290,1),(379,1),(381,1),(388,1),(463,1)}
       137:{1,3,5,7}:{(95,1),(111,1),(170,1),(179,1),(183,1),(184,1),(261,1),(465,1)}
       138:{1,5,7}:{(96,1),(97,1),(98,1),(185,1)}
       139:{2,4,6,7}:{(97,1),(99,1),(103,1),(185,1),(186,1),(190,1),(292,1)}
       140:{2,5,6}:{(98,1),(99,1),(185,1),(187,1),(195,1)}
       141:{3,6}:{(99,1),(100,1)}
       142:{3,4,7}:{(100,1),(107,1),(188,1),(197,1),(292,1)}
       143:{1,4,7}:{(101,1),(102,1),(104,1),(190,1),(292,1)}
       144:{2,5,7}:{(102,1),(103,1),(105,1),(190,1),(277,1)}
       145:{2,3,6,7}:{(103,1),(106,1),(174,1),(186,1),(191,1),(192,1),(398,1),(466,1),(496,1),(539,1),(549,1)}
       146:{2,4,6}:{(104,1),(105,1),(108,1),(190,1),(193,1)}
       147:{2,3,5,6}:{(105,1),(106,1),(109,1),(177,1),(187,1),(191,1),(193,1),(194,1),(195,1),(282,1),(299,1),(300,1),(389,1),(398,1),(448,1),(466,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       148:{2,4,6}:{(106,1),(107,1),(178,1),(188,1),(195,1)}
       149:{2,4,5,7}:{(107,1),(111,1),(179,1),(189,1),(195,1),(196,1),(198,1),(302,1),(304,1)}
       150:{3,5}:{(108,1),(193,1),(197,1)}
       151:{2,4}:{(109,1),(182,1),(197,1)}
       152:{2,3,5}:{(110,1),(183,1),(195,1),(198,1),(300,1),(389,1)}
       153:{2,3,6}:{(111,1),(184,1),(196,1),(398,1),(466,1)}
       154:{3,5,6}:{(112,1),(113,1),(201,1),(202,1),(540,1)}
       155:{3,4,5,7}:{(113,1),(115,1),(116,1),(201,1),(203,1),(345,1),(349,1),(520,1),(540,1)}
       156:{2,5,7}:{(113,1),(114,1),(202,1),(204,1)}
       157:{1,4,6,7}:{(114,1),(118,1),(204,1),(205,1),(210,1),(306,1)}
       158:{2,4,5}:{(115,1),(119,1),(206,1),(207,1),(480,1)}
       159:{2,4,7}:{(116,1),(117,1),(119,1),(210,1)}
       160:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(204,1),(210,1),(211,1),(222,1),(310,1),(317,1)}
       161:{2,6,7}:{(118,1),(211,1),(401,1)}
       162:{2,3,4,6}:{(119,1),(122,1),(128,1),(206,1),(209,1),(213,1),(245,1),(305,1),(337,1),(419,1),(480,1),(516,1)}
       163:{1,4,6}:{(119,1),(120,1),(207,1),(210,1),(214,1),(403,1)}
       164:{2,5,6}:{(120,1),(211,1),(214,1),(226,1),(312,1),(401,1)}
       165:{2,3,6}:{(121,1),(131,1),(216,1),(221,1),(315,1)}
       166:{2,4,7}:{(121,1),(132,1),(208,1),(216,1),(219,1)}
       167:{1,3,4}:{(122,1),(133,1),(218,1),(326,1),(341,1)}
       168:{2,3,5}:{(123,1),(135,1),(219,1),(220,1),(328,1)}
       169:{2,4,6}:{(123,1),(124,1),(136,1),(219,1),(220,1),(221,1),(424,1),(491,1)}
       170:{2,5,7}:{(124,1),(137,1),(220,1),(221,1)}
       171:{2,3,7}:{(125,1),(128,1),(222,1),(242,1),(317,1)}
       172:{1,4,7}:{(125,1),(126,1),(129,1),(222,1)}
       173:{1,2,5,7}:{(126,1),(127,1),(130,1),(144,1),(211,1),(223,1),(224,1),(330,1),(331,1),(429,1),(495,1),(529,1)}
       174:{1,3,6,7}:{(127,1),(131,1),(145,1),(212,1),(224,1),(225,1),(430,1),(471,1),(493,1)}
       175:{1,3,6}:{(128,1),(129,1),(133,1),(222,1),(226,1)}
       176:{1,2,4,6}:{(129,1),(130,1),(134,1),(146,1),(214,1),(223,1),(226,1),(227,1),(228,1),(329,1),(337,1),(435,1),(491,1),(525,1)}
       177:{1,3,5,6}:{(130,1),(131,1),(135,1),(147,1),(215,1),(224,1),(227,1),(228,1),(229,1),(335,1),(336,1),(338,1),(409,1),(430,1),(432,1),(471,1),(493,1),(517,1)}
       178:{1,4,6}:{(131,1),(132,1),(148,1),(216,1),(229,1)}
       179:{1,4,5,7}:{(132,1),(137,1),(149,1),(217,1),(229,1),(230,1),(234,1),(340,1),(344,1)}
       180:{2,5}:{(133,1),(218,1),(226,1)}
       181:{1,3,5}:{(134,1),(150,1),(227,1),(232,1),(233,1),(313,1),(326,1),(328,1),(524,1)}
       182:{1,4}:{(135,1),(151,1),(219,1)}
       183:{1,3,5}:{(136,1),(152,1),(220,1),(229,1),(234,1),(314,1),(328,1),(432,1)}
       184:{1,3,6}:{(137,1),(153,1),(221,1),(230,1),(315,1),(493,1)}
       185:{2,5,7}:{(138,1),(139,1),(140,1),(237,1)}
       186:{3,6,7}:{(139,1),(141,1),(237,1),(242,1)}
       187:{3,5,6}:{(140,1),(141,1),(237,1),(239,1),(240,1)}
       188:{3,4,6}:{(141,1),(142,1),(148,1),(239,1),(240,1)}
       189:{3,4,5,7}:{(142,1),(149,1),(240,1),(241,1),(249,1),(345,1),(348,1),(349,1),(354,1)}
       190:{2,4,7}:{(143,1),(144,1),(146,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(147,1),(224,1),(237,1),(242,1),(243,1),(244,1),(332,1),(349,1),(429,1),(529,1),(545,1),(551,1)}
       192:{2,4,6,7}:{(145,1),(148,1),(225,1),(238,1),(243,1),(244,1),(350,1),(516,1)}
       193:{3,6}:{(146,1),(150,1),(242,1)}
       194:{2,4,6}:{(147,1),(151,1),(228,1),(239,1),(243,1),(245,1),(246,1),(480,1),(550,1)}
       195:{2,5}:{(148,1),(229,1),(240,1)}
       196:{2,4,6}:{(149,1),(153,1),(230,1),(241,1),(247,1)}
       197:{3,4}:{(150,1),(151,1)}
       198:{2,4,5}:{(151,1),(152,1),(234,1),(249,1),(250,1)}
       199:{2,3,5,6}:{(152,1),(153,1),(235,1),(247,1),(250,1),(251,1),(352,1),(426,1),(433,1)}
       200:{2,3,6,7}:{(153,1),(236,1),(248,1),(251,1),(438,1),(494,1)}
       201:{3,4,6}:{(154,1),(155,1),(252,1),(395,1),(398,1)}
       202:{2,5,6}:{(154,1),(156,1),(252,1),(253,1),(531,1)}
       203:{2,4,5,7}:{(155,1),(156,1),(158,1),(159,1),(252,1),(254,1),(255,1),(501,1),(531,1)}
       204:{1,5,7}:{(156,1),(157,1),(253,1),(256,1)}
       205:{2,4,6,7}:{(157,1),(161,1),(256,1),(257,1),(263,1),(356,1),(360,1)}
       206:{2,3,5}:{(158,1),(162,1),(258,1),(300,1),(389,1),(531,1)}
       207:{1,4,5}:{(158,1),(163,1),(258,1),(259,1),(442,1),(449,1)}
       208:{3,4,7}:{(166,1),(260,1),(261,1),(273,1),(452,1)}
       209:{2,3,4,7}:{(159,1),(162,1),(171,1),(254,1),(262,1),(297,1),(384,1),(453,1),(501,1)}
       210:{1,4,7}:{(159,1),(160,1),(163,1),(263,1),(360,1)}
       211:{2,5,7}:{(160,1),(161,1),(164,1),(263,1),(277,1)}
       212:{2,3,6,7}:{(161,1),(165,1),(174,1),(257,1),(264,1),(265,1),(276,1),(367,1),(440,1),(456,1),(466,1)}
       213:{1,3,4,6}:{(162,1),(163,1),(167,1),(175,1),(258,1),(262,1),(266,1),(267,1),(355,1),(364,1),(373,1),(388,1),(441,1),(449,1),(497,1)}
       214:{2,4,6}:{(163,1),(164,1),(259,1),(263,1),(267,1)}
       215:{2,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(264,1),(267,1),(268,1),(269,1),(275,1),(282,1),(357,1),(363,1),(366,1),(372,1),(375,1),(381,1),(389,1),(440,1),(456,1),(466,1),(498,1)}
       216:{2,4,6}:{(165,1),(166,1),(178,1),(260,1),(269,1)}
       217:{2,4,5,7}:{(166,1),(170,1),(179,1),(261,1),(269,1),(270,1),(274,1),(365,1),(377,1),(382,1),(452,1)}
       218:{2,4}:{(167,1),(180,1),(272,1)}
       219:{2,4}:{(168,1),(182,1),(273,1)}
       220:{2,5}:{(169,1),(183,1)}
       221:{2,6}:{(170,1),(184,1)}
       222:{1,3,7}:{(171,1),(172,1),(175,1),(277,1)}
       223:{1,2,4,7}:{(172,1),(173,1),(176,1),(190,1),(263,1),(277,1),(278,1),(279,1),(382,1),(384,1),(470,1),(514,1),(538,1)}
       224:{1,3,5,7}:{(173,1),(174,1),(177,1),(191,1),(264,1),(278,1),(279,1),(280,1),(383,1),(465,1)}
       225:{1,4,6,7}:{(174,1),(178,1),(192,1),(265,1),(279,1),(280,1),(386,1),(497,1)}
       226:{2,6}:{(175,1),(180,1),(277,1)}
       227:{1,3,6}:{(176,1),(181,1),(193,1),(267,1),(278,1),(282,1),(381,1),(537,1)}
       228:{1,4,6}:{(177,1),(182,1),(194,1),(268,1),(279,1),(284,1),(449,1)}
       229:{1,5}:{(178,1),(195,1),(269,1)}
       230:{1,4,6}:{(179,1),(184,1),(196,1),(270,1),(285,1)}
       231:{1,2,5}:{(180,1),(271,1),(281,1),(287,1),(462,1)}
       232:{2,3,5}:{(180,1),(181,1),(272,1),(282,1),(287,1),(288,1),(378,1),(389,1),(462,1)}
       233:{1,3,4}:{(181,1),(182,1),(197,1),(273,1),(288,1),(364,1),(449,1),(505,1)}
       234:{1,4,5}:{(182,1),(183,1),(198,1),(274,1),(290,1),(365,1)}
       235:{1,3,5,6}:{(183,1),(184,1),(199,1),(275,1),(285,1),(290,1),(291,1),(366,1),(381,1),(463,1),(468,1)}
       236:{1,3,6,7}:{(184,1),(200,1),(276,1),(286,1),(291,1),(367,1),(515,1)}
       237:{3,5,7}:{(185,1),(186,1),(187,1),(292,1)}
       238:{3,4,6,7}:{(186,1),(188,1),(192,1),(292,1),(293,1),(297,1),(395,1),(398,1),(530,1),(549,1),(552,1)}
       239:{4,6}:{(187,1),(292,1),(294,1)}
       240:{3,5}:{(188,1),(195,1),(294,1)}
       241:{3,4,6}:{(189,1),(196,1),(295,1),(395,1),(398,1)}
       242:{3,7}:{(190,1),(193,1)}
       243:{2,4,7}:{(191,1),(194,1),(279,1),(292,1),(297,1),(552,1)}
       244:{2,5,7}:{(192,1),(195,1),(280,1),(293,1),(299,1),(531,1)}
       245:{3,4,6}:{(193,1),(194,1),(197,1),(297,1),(300,1),(398,1),(505,1),(537,1)}
       246:{2,4,5}:{(194,1),(195,1),(284,1),(294,1),(300,1),(389,1),(531,1),(546,1)}
       247:{2,5,6}:{(195,1),(196,1),(285,1),(295,1),(302,1)}
       248:{2,4,6,7}:{(196,1),(200,1),(286,1),(296,1),(302,1),(304,1)}
       249:{3,4,5}:{(197,1),(198,1),(300,1),(303,1),(546,1)}
       250:{2,4,6}:{(198,1),(199,1),(290,1),(303,1),(304,1)}
       251:{2,3,5,7}:{(199,1),(200,1),(291,1),(302,1),(304,1),(400,1),(464,1),(469,1)}
       252:{2,4,6}:{(201,1),(202,1),(203,1),(305,1),(306,1)}
       253:{1,5,6}:{(202,1),(204,1),(306,1),(307,1),(517,1)}
       254:{2,3,5,7}:{(203,1),(206,1),(209,1),(305,1),(308,1),(349,1),(429,1)}
       255:{1,4,5,7}:{(203,1),(204,1),(207,1),(210,1),(306,1),(308,1),(309,1),(476,1),(517,1)}
       256:{2,5,7}:{(204,1),(205,1),(307,1),(310,1)}
       257:{3,6,7}:{(205,1),(310,1),(317,1),(402,1)}
       258:{1,3,5}:{(206,1),(207,1),(213,1),(312,1),(313,1),(432,1),(473,1),(517,1)}
       259:{2,4,5}:{(207,1),(214,1),(312,1),(313,1),(410,1)}
       260:{3,4,6}:{(208,1),(216,1),(314,1),(315,1),(412,1)}
       261:{3,5,7}:{(208,1),(217,1),(314,1),(315,1),(328,1),(427,1)}
       262:{1,3,4,7}:{(209,1),(210,1),(213,1),(222,1),(308,1),(316,1),(317,1),(406,1),(414,1),(428,1),(476,1)}
       263:{2,4,7}:{(210,1),(211,1),(214,1),(317,1)}
       264:{2,3,5,7}:{(211,1),(212,1),(215,1),(224,1),(310,1),(317,1),(318,1),(319,1),(330,1),(332,1),(413,1),(416,1),(427,1),(429,1)}
       265:{2,4,6,7}:{(212,1),(216,1),(225,1),(311,1),(318,1),(319,1),(417,1),(472,1)}
       266:{2,4,6}:{(213,1),(218,1),(226,1),(312,1),(316,1),(321,1),(401,1),(410,1)}
       267:{3,6}:{(214,1),(313,1),(317,1)}
       268:{2,4,6}:{(215,1),(219,1),(228,1),(318,1),(322,1),(323,1),(403,1),(410,1),(412,1)}
       269:{2,5}:{(216,1),(229,1),(314,1)}
       270:{2,4,6}:{(217,1),(221,1),(230,1),(315,1),(324,1),(412,1)}
       271:{1,2,4}:{(218,1),(231,1),(326,1),(341,1),(424,1)}
       272:{2,3}:{(218,1),(326,1)}
       273:{3,4}:{(219,1),(328,1)}
       274:{2,4,5}:{(219,1),(220,1),(234,1),(328,1),(329,1)}
       275:{2,5,6}:{(220,1),(221,1),(235,1),(329,1),(330,1),(491,1)}
       276:{2,6,7}:{(221,1),(236,1),(330,1)}
       277:{2,7}:{(222,1),(226,1)}
       278:{1,3,7}:{(223,1),(227,1),(242,1),(317,1),(332,1),(427,1),(545,1)}
       279:{1,4,7}:{(224,1),(228,1),(243,1),(318,1)}
       280:{1,5,7}:{(225,1),(229,1),(244,1),(319,1),(335,1),(517,1)}
       281:{1,2,6}:{(226,1),(231,1),(331,1),(336,1),(491,1)}
       282:{2,3,6}:{(226,1),(227,1),(232,1),(332,1),(336,1),(337,1),(491,1)}
       283:{1,3,4,6}:{(227,1),(228,1),(233,1),(245,1),(322,1),(333,1),(337,1),(338,1),(430,1)}
       284:{1,4,5}:{(228,1),(229,1),(246,1),(323,1),(338,1),(432,1),(517,1)}
       285:{1,5,6}:{(229,1),(230,1),(247,1),(324,1),(340,1)}
       286:{1,4,6,7}:{(230,1),(236,1),(248,1),(325,1),(340,1),(344,1)}
       287:{1,3,5}:{(231,1),(232,1),(326,1),(336,1),(341,1),(432,1)}
       288:{2,4}:{(232,1),(233,1),(341,1)}
       289:{1,3,4,5}:{(233,1),(234,1),(249,1),(328,1),(338,1),(342,1),(343,1),(411,1),(425,1),(481,1),(524,1)}
       290:{1,4,6}:{(234,1),(235,1),(250,1),(329,1),(344,1),(412,1)}
       291:{1,3,5,7}:{(235,1),(236,1),(251,1),(330,1),(340,1),(344,1),(413,1),(427,1),(492,1),(495,1)}
       292:{4,7}:{(237,1),(239,1)}
       293:{3,5,7}:{(238,1),(240,1),(244,1),(345,1),(346,1),(540,1)}
       294:{4,5}:{(239,1),(240,1)}
       295:{3,5,6}:{(240,1),(241,1),(247,1),(347,1),(348,1)}
       296:{3,4,6,7}:{(241,1),(248,1),(348,1),(354,1),(437,1),(438,1)}
       297:{3,4,7}:{(242,1),(243,1),(245,1),(349,1),(545,1)}
       298:{2,4,5,7}:{(243,1),(244,1),(246,1),(334,1),(345,1),(349,1),(350,1),(429,1)}
       299:{2,5,6}:{(244,1),(335,1),(346,1),(350,1)}
       300:{3,5}:{(245,1),(246,1)}
       301:{2,4,5,6}:{(246,1),(247,1),(250,1),(339,1),(347,1),(350,1),(352,1),(353,1),(433,1),(525,1),(541,1),(550,1)}
       302:{2,5,7}:{(247,1),(248,1),(340,1),(348,1)}
       303:{3,4,6}:{(249,1),(250,1),(352,1),(354,1),(550,1)}
       304:{2,4,7}:{(250,1),(251,1),(344,1),(354,1)}
       305:{2,3,6}:{(252,1),(254,1),(355,1),(398,1),(466,1)}
       306:{1,4,6}:{(252,1),(253,1),(255,1),(355,1),(356,1)}
       307:{2,5,6}:{(253,1),(256,1),(356,1),(357,1),(498,1)}
       308:{1,3,5,7}:{(254,1),(255,1),(258,1),(262,1),(355,1),(358,1),(359,1),(465,1)}
       309:{2,4,5,7}:{(255,1),(256,1),(259,1),(263,1),(356,1),(358,1),(359,1),(360,1),(442,1),(444,1),(498,1)}
       310:{3,5,7}:{(256,1),(257,1),(357,1),(360,1)}
       311:{3,4,6,7}:{(257,1),(260,1),(265,1),(360,1),(361,1),(367,1),(370,1),(441,1),(446,1),(452,1),(456,1)}
       312:{2,5}:{(258,1),(266,1)}
       313:{3,5}:{(259,1),(267,1),(364,1)}
       314:{3,5}:{(260,1),(269,1),(365,1)}
       315:{3,6}:{(261,1),(270,1)}
       316:{2,4,7}:{(262,1),(266,1),(277,1),(358,1),(369,1)}
       317:{3,7}:{(263,1),(267,1)}
       318:{2,4,7}:{(264,1),(268,1),(279,1),(360,1),(370,1),(452,1)}
       319:{2,5,7}:{(265,1),(269,1),(280,1),(361,1),(372,1),(498,1)}
       320:{1,2,4,6}:{(266,1),(271,1),(281,1),(362,1),(368,1),(373,1),(388,1),(439,1),(449,1),(458,1),(497,1)}
       321:{2,3,6}:{(266,1),(267,1),(272,1),(363,1),(369,1),(373,1)}
       322:{3,4,6}:{(267,1),(268,1),(273,1),(364,1),(370,1),(375,1),(381,1),(456,1)}
       323:{2,4,5}:{(268,1),(269,1),(284,1),(365,1),(375,1),(389,1),(442,1),(498,1)}
       324:{2,5,6}:{(269,1),(270,1),(285,1),(366,1),(377,1)}
       325:{2,4,6,7}:{(270,1),(276,1),(286,1),(367,1),(377,1),(382,1),(452,1)}
       326:{1,3}:{(271,1),(272,1),(378,1)}
       327:{2,3,4}:{(272,1),(273,1),(288,1),(379,1),(380,1),(505,1)}
       328:{3,5}:{(273,1),(274,1),(381,1)}
       329:{2,4,6}:{(274,1),(275,1),(290,1),(381,1),(382,1)}
       330:{2,5,7}:{(275,1),(276,1),(291,1),(382,1),(514,1)}
       331:{1,2,7}:{(277,1),(281,1),(383,1),(514,1)}
       332:{2,3,7}:{(277,1),(278,1),(282,1),(383,1),(384,1),(514,1)}
       333:{1,3,4,7}:{(278,1),(279,1),(283,1),(297,1),(370,1),(384,1),(385,1)}
       334:{1,4,5,7}:{(279,1),(280,1),(284,1),(298,1),(371,1),(385,1),(386,1),(465,1)}
       335:{1,5,6}:{(280,1),(299,1),(372,1),(386,1)}
       336:{1,3,6}:{(281,1),(282,1),(287,1),(383,1),(388,1)}
       337:{2,4,6}:{(282,1),(283,1),(288,1),(384,1),(388,1),(389,1),(466,1)}
       338:{1,3,5}:{(283,1),(284,1),(300,1),(375,1),(389,1)}
       339:{1,4,5,6}:{(284,1),(285,1),(290,1),(301,1),(376,1),(386,1),(390,1),(391,1),(468,1),(507,1),(532,1)}
       340:{1,5,7}:{(285,1),(286,1),(302,1),(377,1)}
       341:{1,4}:{(287,1),(288,1)}
       342:{2,4,5}:{(288,1),(289,1),(380,1),(389,1),(392,1),(393,1),(462,1)}
       343:{1,3,4,6}:{(289,1),(290,1),(303,1),(381,1),(390,1),(393,1),(394,1),(451,1),(463,1),(507,1),(537,1)}
       344:{1,4,7}:{(290,1),(291,1),(304,1),(382,1),(452,1)}
       345:{4,5,7}:{(292,1),(293,1),(294,1),(395,1),(546,1),(552,1)}
       346:{3,5,6}:{(293,1),(299,1),(395,1),(398,1)}
       347:{4,5,6}:{(294,1),(295,1),(395,1),(397,1)}
       348:{3,5,7}:{(295,1),(296,1),(302,1),(397,1)}
       349:{3,5,7}:{(297,1),(298,1),(300,1),(398,1)}
       350:{2,4,6}:{(298,1),(299,1),(386,1),(395,1),(398,1),(466,1)}
       351:{2,5,6,7}:{(299,1),(302,1),(387,1),(396,1),(399,1),(548,1)}
       352:{3,5,6}:{(300,1),(301,1),(303,1),(398,1),(400,1),(537,1)}
       353:{2,4,5,7}:{(301,1),(302,1),(304,1),(391,1),(397,1),(399,1),(400,1),(469,1),(538,1),(548,1),(552,1)}
       354:{3,4,7}:{(303,1),(304,1),(400,1),(552,1)}
       355:{1,3,6}:{(305,1),(306,1),(308,1),(401,1),(402,1),(493,1)}
       356:{2,4,6}:{(306,1),(307,1),(309,1),(401,1),(402,1),(403,1)}
       357:{3,5,6}:{(307,1),(310,1),(402,1),(403,1),(473,1)}
       358:{2,5,7}:{(308,1),(312,1),(316,1),(401,1)}
       359:{3,5,7}:{(309,1),(313,1),(317,1),(402,1),(406,1),(473,1)}
       360:{4,7}:{(310,1),(403,1)}
       361:{3,5,7}:{(311,1),(314,1),(319,1),(407,1),(408,1),(473,1)}
       362:{1,2,5}:{(312,1),(320,1),(409,1),(432,1),(488,1),(517,1)}
       363:{2,3,5}:{(312,1),(313,1),(321,1),(409,1),(410,1)}
       364:{3,4}:{(313,1),(410,1)}
       365:{4,5}:{(314,1),(412,1)}
       366:{3,5,6}:{(314,1),(315,1),(324,1),(412,1),(413,1)}
       367:{3,6,7}:{(315,1),(325,1),(413,1),(427,1)}
       368:{1,2,4,7}:{(316,1),(320,1),(331,1),(404,1),(414,1),(428,1),(476,1),(484,1)}
       369:{2,3,7}:{(316,1),(317,1),(321,1),(414,1)}
       370:{3,4,7}:{(317,1),(318,1),(322,1),(416,1),(427,1)}
       371:{2,4,5,7}:{(318,1),(319,1),(323,1),(334,1),(407,1),(416,1),(417,1),(429,1)}
       372:{2,5,6}:{(319,1),(335,1),(408,1),(417,1)}
       373:{1,3,6}:{(320,1),(321,1),(326,1),(409,1),(414,1),(419,1)}
       374:{2,3,4,6}:{(321,1),(322,1),(327,1),(337,1),(410,1),(415,1),(420,1),(421,1),(426,1),(472,1),(482,1),(486,1)}
       375:{3,5}:{(322,1),(323,1)}
       376:{2,4,5,6}:{(323,1),(324,1),(329,1),(339,1),(412,1),(417,1),(422,1),(423,1),(433,1),(474,1),(482,1),(518,1)}
       377:{2,5,7}:{(324,1),(325,1),(340,1),(413,1)}
       378:{2,3}:{(326,1),(424,1)}
       379:{1,3,4}:{(326,1),(327,1),(341,1),(424,1),(425,1)}
       380:{2,3,5}:{(327,1),(328,1),(342,1),(425,1),(426,1),(524,1)}
       381:{3,6}:{(328,1),(329,1),(427,1)}
       382:{2,4,7}:{(329,1),(330,1),(344,1),(427,1)}
       383:{1,3,7}:{(331,1),(332,1),(336,1),(428,1)}
       384:{2,4,7}:{(332,1),(333,1),(337,1),(428,1),(429,1)}
       385:{1,3,5,7}:{(333,1),(334,1),(338,1),(349,1),(416,1),(429,1),(430,1)}
       386:{1,4,6}:{(334,1),(335,1),(350,1),(417,1),(430,1),(493,1)}
       387:{1,5,6,7}:{(335,1),(340,1),(351,1),(418,1),(431,1),(542,1)}
       388:{1,4,6}:{(336,1),(337,1),(341,1),(428,1),(432,1),(493,1)}
       389:{2,5}:{(337,1),(338,1),(432,1)}
       390:{1,3,5,6}:{(338,1),(339,1),(343,1),(352,1),(422,1),(430,1),(433,1),(434,1)}
       391:{1,4,5,7}:{(339,1),(340,1),(344,1),(353,1),(423,1),(431,1),(434,1),(495,1),(526,1),(542,1)}
       392:{1,4,5}:{(341,1),(342,1),(425,1),(432,1),(435,1)}
       393:{2,4,6}:{(342,1),(343,1),(426,1),(433,1),(435,1),(436,1),(491,1)}
       394:{1,3,4,7}:{(343,1),(344,1),(354,1),(427,1),(434,1),(436,1),(483,1),(492,1),(526,1),(545,1)}
       395:{4,6}:{(345,1),(346,1)}
       396:{3,5,6,7}:{(346,1),(348,1),(351,1),(437,1),(438,1),(551,1)}
       397:{4,5,7}:{(347,1),(348,1),(437,1)}
       398:{3,6}:{(349,1),(350,1)}
       399:{2,4,6,7}:{(350,1),(351,1),(353,1),(431,1),(437,1),(438,1),(494,1)}
       400:{3,5,7}:{(352,1),(353,1),(354,1),(438,1),(545,1)}
       401:{2,6}:{(355,1),(358,1)}
       402:{3,6}:{(356,1),(359,1)}
       403:{4,6}:{(357,1),(360,1),(442,1)}
       404:{1,2,5,7}:{(358,1),(362,1),(368,1),(439,1),(443,1),(465,1),(509,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(363,1),(369,1),(440,1),(443,1),(444,1),(498,1)}
       406:{3,4,7}:{(359,1),(360,1),(364,1),(441,1),(444,1)}
       407:{4,5,7}:{(360,1),(361,1),(365,1),(442,1),(446,1),(452,1)}
       408:{3,5,6}:{(361,1),(372,1),(446,1),(456,1)}
       409:{1,3,5}:{(362,1),(363,1),(373,1),(448,1),(449,1)}
       410:{2,4}:{(363,1),(364,1),(449,1)}
       411:{3,4,5}:{(364,1),(365,1),(375,1),(450,1),(451,1)}
       412:{4,6}:{(365,1),(366,1),(452,1)}
       413:{3,5,7}:{(366,1),(367,1),(377,1),(452,1)}
       414:{1,3,7}:{(368,1),(369,1),(373,1),(453,1)}
       415:{2,3,4,7}:{(369,1),(370,1),(374,1),(384,1),(444,1),(454,1),(455,1),(464,1),(508,1)}
       416:{3,5,7}:{(370,1),(371,1),(375,1),(456,1)}
       417:{2,4,6}:{(371,1),(372,1),(386,1),(446,1),(456,1),(466,1)}
       418:{2,5,6,7}:{(372,1),(377,1),(387,1),(447,1),(457,1),(533,1)}
       419:{2,3,6}:{(373,1),(378,1),(448,1),(453,1),(458,1),(537,1)}
       420:{1,3,4,6}:{(373,1),(374,1),(379,1),(388,1),(449,1),(454,1),(458,1),(459,1),(463,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       421:{2,3,5}:{(374,1),(375,1),(389,1),(450,1),(459,1),(498,1)}
       422:{3,5,6}:{(375,1),(376,1),(381,1),(451,1),(456,1),(461,1)}
       423:{2,4,5,7}:{(376,1),(377,1),(382,1),(391,1),(452,1),(457,1),(461,1),(469,1),(500,1),(508,1),(533,1)}
       424:{2,4}:{(378,1),(379,1),(462,1)}
       425:{1,3,5}:{(379,1),(380,1),(392,1),(462,1),(463,1)}
       426:{2,3,6}:{(380,1),(381,1),(393,1),(463,1),(464,1),(537,1)}
       427:{3,7}:{(381,1),(382,1)}
       428:{1,4,7}:{(383,1),(384,1),(388,1),(465,1)}
       429:{2,5,7}:{(384,1),(385,1),(389,1),(465,1),(466,1)}
       430:{1,3,6}:{(385,1),(386,1),(398,1),(456,1),(466,1)}
       431:{1,4,6,7}:{(386,1),(387,1),(391,1),(399,1),(457,1),(467,1),(515,1)}
       432:{1,5}:{(388,1),(389,1)}
       433:{2,5,6}:{(389,1),(390,1),(393,1),(466,1),(468,1),(469,1)}
       434:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(461,1),(467,1),(469,1)}
       435:{1,4,6}:{(392,1),(393,1),(463,1),(468,1),(470,1)}
       436:{2,4,7}:{(393,1),(394,1),(464,1),(469,1),(470,1),(514,1)}
       437:{4,6,7}:{(395,1),(396,1),(397,1),(552,1)}
       438:{3,6,7}:{(398,1),(399,1),(400,1)}
       439:{1,2,6}:{(401,1),(404,1),(471,1),(493,1),(527,1)}
       440:{2,3,6}:{(401,1),(402,1),(405,1),(471,1),(472,1)}
       441:{3,4,6}:{(402,1),(403,1),(406,1),(472,1),(473,1)}
       442:{4,5}:{(403,1),(473,1)}
       443:{1,3,5,7}:{(404,1),(405,1),(409,1),(414,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(405,1),(406,1),(410,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(406,1),(407,1),(411,1),(416,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(407,1),(408,1)}
       447:{3,5,6,7}:{(408,1),(413,1),(418,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(409,1),(419,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(409,1),(410,1),(480,1)}
       450:{2,4,5}:{(410,1),(411,1),(421,1),(481,1),(482,1)}
       451:{3,4,6}:{(411,1),(412,1),(422,1),(482,1),(483,1)}
       452:{4,7}:{(412,1),(413,1)}
       453:{2,3,7}:{(414,1),(419,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(414,1),(415,1),(420,1),(428,1),(476,1),(484,1),(485,1),(492,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(415,1),(416,1),(421,1),(429,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(416,1),(417,1)}
       457:{2,4,6,7}:{(417,1),(418,1),(423,1),(431,1),(479,1),(487,1),(494,1)}
       458:{2,4,6}:{(419,1),(420,1),(424,1),(480,1),(484,1),(488,1),(491,1),(527,1)}
       459:{1,3,5}:{(420,1),(421,1),(432,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(421,1),(422,1),(426,1),(433,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(422,1),(423,1),(427,1),(483,1),(487,1)}
       462:{2,5}:{(424,1),(425,1),(491,1)}
       463:{1,3,6}:{(425,1),(426,1),(435,1),(491,1),(492,1)}
       464:{2,3,7}:{(426,1),(427,1),(436,1),(492,1),(545,1)}
       465:{1,5,7}:{(428,1),(429,1),(432,1),(493,1)}
       466:{2,6}:{(429,1),(430,1),(493,1)}
       467:{1,3,6,7}:{(430,1),(431,1),(434,1),(438,1),(487,1),(494,1)}
       468:{1,5,6}:{(432,1),(433,1),(435,1),(493,1),(495,1)}
       469:{2,5,7}:{(433,1),(434,1),(436,1),(494,1),(495,1)}
       470:{1,4,7}:{(435,1),(436,1),(492,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(514,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(465,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(466,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(463,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(464,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{2,6}:{(462,1),(463,1),(514,1)}
       492:{1,3,7}:{(463,1),(464,1),(470,1),(514,1)}
       493:{1,6}:{(465,1),(466,1)}
       494:{2,6,7}:{(466,1),(467,1),(469,1),(515,1)}
       495:{1,5,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(493,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(494,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(491,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(492,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{2,7}:{(491,1),(492,1)}
       515:{1,6,7}:{(493,1),(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(515,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(514,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 615 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(35,1),(68,1),(78,1),(84,1),(86,1),(121,1),(128,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(23,1),(49,1),(59,1),(61,1),(98,1),(105,1),(111,1),(114,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(55,1),(104,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(128,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(127,1),(135,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(105,1),(159,1),(160,1),(161,1),(164,1),(205,1),(209,1),(229,1),(241,1)}
         8:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(55,1),(103,1),(104,1)}
         9:{2,3,6,7}:{(3,1),(15,1),(20,1),(61,1),(100,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(158,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(49,1),(97,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(55,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(9,1),(27,1),(29,1),(73,1),(130,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(10,1),(29,1),(30,1),(66,1),(135,1),(185,1),(189,1),(222,1),(237,1)}
        17:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(13,1),(33,1),(34,1),(35,1)}
        19:{2,3,4,6,7}:{(9,1),(28,1),(36,1),(38,1),(80,1),(83,1),(122,1),(128,1),(137,1),(175,1),(182,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(29,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(72,1),(77,1),(87,1),(127,1),(132,1),(139,1),(188,1),(190,1),(224,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(34,1),(41,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(164,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(19,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(20,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(21,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(22,1),(49,1),(50,1),(51,1),(65,1),(91,1),(97,1),(99,1),(115,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(210,1),(232,1),(234,1),(241,1)}
        32:{2,5,6,7}:{(17,1),(21,1),(52,1),(104,1),(164,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(23,1),(52,1),(53,1)}
        34:{2,4,5,7}:{(18,1),(25,1),(53,1),(55,1),(104,1),(209,1)}
        35:{3,4,6,7}:{(18,1),(26,1),(55,1)}
        36:{2,3,5,7}:{(19,1),(47,1),(56,1),(57,1),(109,1),(158,1),(165,1),(204,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(48,1),(58,1),(61,1),(100,1),(109,1),(158,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(49,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(53,1),(60,1),(63,1),(97,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(99,1),(104,1),(115,1),(158,1),(162,1),(166,1),(209,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(55,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(189,1),(224,1)}
        47:{1,3,5,7}:{(28,1),(36,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(37,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(38,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(39,1),(71,1),(73,1),(89,1),(118,1),(128,1),(145,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(40,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(225,1),(239,1),(244,1)}
        52:{2,4,6,7}:{(32,1),(33,1),(39,1),(75,1),(76,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(41,1),(75,1),(77,1),(135,1),(188,1)}
        54:{1,3,4,6,7}:{(33,1),(35,1),(42,1),(76,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        55:{3,5,7}:{(34,1),(35,1),(44,1),(224,1)}
        56:{2,3,5,6}:{(36,1),(69,1),(80,1),(138,1),(175,1),(183,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(70,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(71,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(75,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(224,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(77,1),(85,1),(88,1),(127,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(129,1),(135,1),(185,1),(188,1),(190,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(211,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(56,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(57,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(58,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(59,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(61,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(115,1),(158,1),(169,1),(199,1),(203,1),(211,1),(233,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(60,1),(102,1),(104,1),(162,1)}
        76:{3,6,7}:{(52,1),(61,1),(102,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(55,1),(63,1),(102,1),(104,1)}
        78:{2,4,6,7}:{(54,1),(64,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{2,3,5,6,7}:{(56,1),(94,1),(106,1),(165,1),(195,1),(204,1)}
        80:{2,4,6}:{(56,1),(57,1),(95,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(97,1),(109,1),(158,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(99,1),(110,1),(111,1),(162,1),(203,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(102,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(104,1),(116,1),(158,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(226,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(224,1)}
        94:{1,3,5,6,7}:{(69,1),(79,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(80,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(81,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(82,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(83,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(226,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(145,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(76,1),(85,1),(132,1)}
       103:{2,3,6,7}:{(76,1),(78,1),(86,1),(133,1),(134,1),(224,1)}
       104:{2,5,7}:{(77,1),(78,1),(88,1),(135,1)}
       105:{1,4,6,7}:{(78,1),(89,1),(134,1),(135,1),(188,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(123,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(124,1),(136,1),(138,1),(183,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(128,1),(140,1),(141,1),(143,1),(221,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(129,1),(141,1),(142,1),(187,1),(188,1),(224,1)}
       112:{3,4,6}:{(85,1),(132,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(133,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(135,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(169,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(106,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(107,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(108,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(109,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(115,1),(160,1),(161,1),(199,1),(207,1)}
       132:{3,4,7}:{(102,1),(112,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(113,1),(162,1),(163,1)}
       134:{1,3,6,7}:{(103,1),(105,1),(114,1),(163,1),(164,1)}
       135:{1,5,7}:{(104,1),(105,1),(116,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(153,1),(165,1),(204,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(158,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(159,1),(167,1),(168,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(162,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(163,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(192,1),(216,1),(226,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(136,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(137,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(138,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(142,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(145,1),(218,1)}
       162:{2,4,7}:{(132,1),(133,1),(143,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(144,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(134,1),(145,1),(189,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(185,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(187,1),(192,1),(224,1)}
       170:{1,4,6}:{(143,1),(144,1),(188,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(189,1),(191,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(168,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(169,1),(203,1),(208,1)}
       188:{1,4,7}:{(162,1),(163,1),(170,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(171,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(210,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(226,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(191,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(192,1),(221,1),(223,1)}
       209:{2,4,7}:{(188,1),(189,1),(193,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(223,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(225,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(211,1),(233,1),(234,1)}
       224:{3,7}:{(209,1),(212,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 616 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(29,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(42,1),(83,1),(97,1),(98,1),(189,1),(276,1),(285,1),(305,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(55,1),(118,1),(154,1),(231,1),(328,1),(347,1)}
         3:{3,5,6}:{(0,1),(12,1),(14,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(14,1),(15,1),(52,1),(56,1),(135,1),(136,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(12,1),(17,1),(243,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(342,1),(363,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(55,1),(65,1),(73,1),(125,1),(132,1),(140,1),(146,1),(151,1),(254,1),(259,1),(340,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(56,1),(126,1),(143,1),(245,1),(334,1),(343,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(89,1),(185,1),(204,1),(271,1),(272,1),(297,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(287,1),(400,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(87,1),(90,1),(167,1),(184,1),(279,1)}
        12:{3,4,6}:{(3,1),(5,1),(29,1),(30,1),(471,1)}
        13:{2,3,5,6}:{(3,1),(6,1),(26,1),(29,1),(31,1),(32,1),(42,1),(83,1),(108,1)}
        14:{3,5,7}:{(3,1),(4,1),(30,1),(33,1),(277,1)}
        15:{2,4,6,7}:{(4,1),(28,1),(33,1),(34,1),(88,1),(96,1),(393,1)}
        16:{1,3,4,5}:{(5,1),(25,1),(35,1),(37,1),(76,1),(99,1),(105,1),(161,1),(195,1),(268,1),(287,1)}
        17:{2,4,5}:{(5,1),(6,1),(29,1),(37,1),(189,1)}
        18:{3,4,5,7}:{(5,1),(30,1),(38,1),(39,1),(92,1),(302,1),(389,1),(412,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(313,1),(317,1),(395,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(398,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(188,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(90,1),(104,1),(175,1),(182,1),(197,1),(202,1),(396,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(132,1),(234,1),(350,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(133,1),(221,1),(222,1),(237,1),(352,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(16,1),(45,1),(49,1),(50,1),(55,1),(118,1),(125,1),(132,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(342,1),(446,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(14,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(15,1),(48,1),(53,1),(54,1),(131,1),(347,1)}
        29:{2,4,6}:{(12,1),(13,1),(17,1),(55,1),(56,1)}
        30:{3,4,7}:{(12,1),(14,1),(56,1),(440,1)}
        31:{1,3,5,6}:{(13,1),(19,1),(51,1),(55,1),(58,1),(59,1),(73,1),(125,1),(132,1),(154,1),(260,1)}
        32:{2,3,5,7}:{(13,1),(14,1),(52,1),(56,1),(59,1),(60,1),(126,1),(135,1)}
        33:{3,6,7}:{(14,1),(15,1),(438,1)}
        34:{2,5,6,7}:{(15,1),(54,1),(61,1),(135,1),(336,1),(442,1)}
        35:{2,4,5}:{(16,1),(49,1),(62,1),(63,1),(144,1),(250,1),(342,1)}
        36:{1,2,4,6}:{(21,1),(64,1),(65,1),(66,1),(142,1),(146,1),(148,1),(226,1),(241,1),(254,1),(340,1)}
        37:{1,4,5}:{(17,1),(19,1),(55,1),(67,1),(146,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(68,1),(69,1),(135,1),(245,1),(363,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(444,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(446,1)}
        43:{2,3,6}:{(21,1),(65,1),(71,1),(75,1),(132,1),(242,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(228,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(83,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(182,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(88,1),(173,1),(297,1)}
        49:{2,4,6}:{(25,1),(26,1),(35,1),(83,1),(84,1),(85,1),(174,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(30,1),(78,1),(85,1),(90,1),(167,1),(175,1),(182,1),(277,1)}
        51:{1,5,6}:{(26,1),(84,1),(87,1),(395,1),(483,1)}
        52:{2,5,7}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(33,1),(81,1),(88,1),(400,1)}
        54:{1,5,6,7}:{(28,1),(34,1),(82,1),(184,1),(279,1),(402,1)}
        55:{1,4,6}:{(29,1),(31,1),(37,1),(89,1),(90,1),(318,1)}
        56:{2,4,7}:{(29,1),(30,1),(32,1),(90,1)}
        57:{3,4,6,7}:{(30,1),(33,1),(39,1),(91,1),(92,1),(96,1)}
        58:{2,5,6}:{(31,1),(40,1),(89,1),(94,1),(112,1),(174,1)}
        59:{1,3,5,7}:{(31,1),(32,1),(87,1),(90,1),(94,1),(95,1),(175,1),(182,1),(184,1),(295,1)}
        60:{2,3,6,7}:{(32,1),(33,1),(42,1),(88,1),(91,1),(95,1)}
        61:{3,5,6,7}:{(33,1),(34,1),(92,1),(96,1),(391,1),(479,1)}
        62:{2,3,5}:{(35,1),(83,1),(97,1),(99,1),(105,1),(268,1)}
        63:{1,4,5}:{(35,1),(84,1),(99,1),(308,1),(395,1)}
        64:{1,2,5}:{(36,1),(40,1),(101,1),(191,1),(313,1),(395,1)}
        65:{1,3,6}:{(36,1),(43,1),(98,1),(101,1),(104,1),(299,1)}
        66:{1,2,4,7}:{(36,1),(44,1),(102,1),(104,1),(192,1),(197,1),(284,1),(396,1)}
        67:{2,4,5}:{(37,1),(40,1),(89,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(90,1),(106,1),(107,1),(184,1),(197,1),(313,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(92,1),(108,1),(109,1),(412,1)}
        71:{2,3,5}:{(40,1),(43,1),(101,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(483,1)}
        74:{2,3,4,6}:{(43,1),(103,1),(110,1),(113,1),(114,1),(181,1),(205,1),(207,1),(209,1),(285,1),(300,1),(409,1)}
        75:{2,3,7}:{(43,1),(44,1),(104,1),(182,1)}
        76:{3,4,5}:{(45,1),(115,1),(234,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(352,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(125,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(126,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(350,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(237,1),(354,1)}
        83:{2,3,6}:{(49,1),(62,1),(125,1),(126,1),(132,1),(218,1)}
        84:{1,4,6}:{(49,1),(51,1),(63,1),(125,1),(128,1)}
        85:{2,4,7}:{(49,1),(50,1),(52,1),(126,1),(128,1),(228,1)}
        86:{1,2,5,6}:{(51,1),(58,1),(64,1),(121,1),(127,1),(129,1),(130,1),(148,1),(226,1),(247,1),(321,1),(342,1),(423,1),(443,1),(446,1),(503,1)}
        87:{1,5,7}:{(51,1),(52,1),(128,1),(131,1)}
        88:{2,6,7}:{(52,1),(53,1),(131,1),(446,1)}
        89:{2,4,6}:{(55,1),(58,1),(67,1),(132,1),(133,1)}
        90:{1,4,7}:{(55,1),(56,1),(59,1),(133,1),(352,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(60,1),(69,1),(134,1),(135,1)}
        92:{3,5,7}:{(57,1),(70,1),(135,1),(136,1)}
        93:{2,3,5,6}:{(58,1),(71,1),(129,1),(132,1),(137,1),(138,1),(157,1),(227,1),(234,1),(260,1),(263,1),(342,1),(350,1),(354,1),(420,1),(446,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
        94:{2,5,7}:{(58,1),(59,1),(133,1),(139,1),(228,1)}
        95:{1,3,6,7}:{(59,1),(60,1),(73,1),(131,1),(134,1),(139,1),(236,1)}
        96:{4,6,7}:{(61,1),(136,1),(440,1),(509,1)}
        97:{2,3,4}:{(62,1),(140,1),(151,1),(250,1),(325,1),(355,1)}
        98:{2,3,6}:{(65,1),(141,1),(142,1),(143,1),(355,1),(358,1)}
        99:{1,3,5}:{(62,1),(63,1),(125,1),(140,1),(144,1)}
       100:{1,2,4,5}:{(63,1),(64,1),(67,1),(127,1),(144,1),(145,1),(146,1),(212,1),(231,1),(241,1),(244,1),(250,1),(321,1),(342,1),(365,1),(421,1),(451,1),(491,1)}
       101:{1,3,5}:{(64,1),(65,1),(71,1),(141,1),(146,1)}
       102:{1,2,5,7}:{(64,1),(66,1),(72,1),(147,1),(148,1),(248,1),(444,1)}
       103:{1,3,4,6}:{(65,1),(74,1),(142,1),(146,1),(149,1),(150,1),(243,1),(252,1),(254,1),(256,1),(340,1),(356,1),(358,1),(360,1),(452,1)}
       104:{1,3,7}:{(65,1),(66,1),(75,1),(143,1)}
       105:{3,5}:{(67,1),(132,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(133,1),(152,1),(153,1),(156,1),(237,1),(263,1),(352,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(135,1),(154,1),(363,1)}
       109:{4,5,6}:{(70,1),(136,1),(456,1),(509,1)}
       110:{2,4}:{(71,1),(146,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(147,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(149,1),(155,1),(234,1),(263,1),(342,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(150,1),(156,1),(159,1),(235,1),(261,1),(343,1),(453,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(293,1),(405,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(97,1),(160,1),(164,1),(165,1),(181,1),(267,1),(285,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(174,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(87,1),(167,1),(171,1),(172,1),(175,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(88,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(295,1),(404,1)}
       125:{1,3,6}:{(83,1),(84,1),(99,1),(174,1),(175,1)}
       126:{2,3,7}:{(83,1),(85,1),(175,1),(182,1),(277,1)}
       127:{1,2,4,6}:{(84,1),(86,1),(89,1),(100,1),(166,1),(174,1),(176,1),(177,1),(178,1),(285,1),(303,1),(415,1),(486,1),(515,1)}
       128:{1,4,7}:{(84,1),(85,1),(87,1),(175,1)}
       129:{1,3,5,6}:{(86,1),(93,1),(101,1),(170,1),(176,1),(178,1),(179,1),(198,1),(283,1),(287,1),(313,1),(374,1),(395,1),(400,1),(402,1),(464,1),(483,1),(520,1)}
       130:{1,2,5,7}:{(86,1),(87,1),(94,1),(171,1),(177,1),(179,1),(180,1),(284,1),(306,1),(398,1),(482,1),(525,1)}
       131:{1,6,7}:{(87,1),(88,1),(483,1)}
       132:{3,6}:{(89,1),(105,1),(182,1)}
       133:{2,4,7}:{(89,1),(90,1),(94,1),(182,1)}
       134:{1,4,6,7}:{(90,1),(91,1),(95,1),(107,1),(183,1),(184,1)}
       135:{2,5,7}:{(91,1),(92,1),(108,1),(184,1)}
       136:{4,5,7}:{(92,1),(96,1),(109,1)}
       137:{2,4,6}:{(93,1),(110,1),(178,1),(181,1),(185,1),(186,1),(318,1),(460,1),(551,1)}
       138:{2,3,5,7}:{(93,1),(94,1),(179,1),(182,1),(186,1),(187,1),(286,1),(293,1),(295,1),(298,1),(398,1),(525,1),(540,1),(550,1)}
       139:{2,6,7}:{(94,1),(95,1),(112,1)}
       140:{1,3,4}:{(97,1),(99,1),(188,1),(299,1),(308,1)}
       141:{2,3,5}:{(98,1),(101,1),(189,1),(191,1),(301,1)}
       142:{2,4,6}:{(98,1),(103,1),(189,1),(191,1),(192,1),(307,1),(407,1),(486,1)}
       143:{2,3,7}:{(98,1),(104,1),(192,1),(410,1)}
       144:{2,5}:{(99,1),(174,1),(188,1)}
       145:{1,3,5}:{(100,1),(105,1),(176,1),(194,1),(195,1),(268,1),(299,1),(301,1),(513,1)}
       146:{1,4}:{(101,1),(110,1),(189,1)}
       147:{1,3,5,7}:{(101,1),(102,1),(104,1),(111,1),(190,1),(197,1),(198,1),(313,1)}
       148:{1,2,6}:{(102,1),(112,1),(198,1),(307,1),(483,1)}
       149:{1,3,5}:{(103,1),(113,1),(191,1),(196,1),(301,1),(313,1),(395,1),(412,1)}
       150:{1,3,4,7}:{(103,1),(104,1),(114,1),(192,1),(197,1),(200,1),(302,1),(311,1),(396,1),(410,1),(487,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(182,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(184,1),(204,1),(313,1)}
       155:{2,4,5}:{(110,1),(113,1),(196,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(197,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(198,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(199,1),(205,1),(208,1),(209,1),(292,1),(320,1),(397,1),(409,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(200,1),(206,1),(209,1),(293,1),(398,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(234,1),(342,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(350,1),(450,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(140,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(340,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(126,1),(211,1),(217,1),(235,1),(343,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(129,1),(141,1),(218,1),(223,1),(224,1),(227,1),(246,1),(247,1),(322,1),(333,1),(342,1),(358,1),(363,1),(426,1),(430,1),(438,1),(442,1),(446,1),(455,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(228,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(131,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(352,1),(450,1)}
       174:{2,6}:{(125,1),(144,1),(228,1)}
       175:{1,3,7}:{(125,1),(126,1),(128,1),(228,1)}
       176:{1,3,6}:{(127,1),(132,1),(145,1),(218,1),(227,1),(230,1),(358,1),(529,1)}
       177:{1,2,4,7}:{(127,1),(128,1),(130,1),(133,1),(219,1),(228,1),(230,1),(232,1),(343,1),(361,1),(458,1),(511,1),(532,1)}
       178:{1,4,6}:{(129,1),(137,1),(146,1),(223,1),(231,1),(232,1),(421,1)}
       179:{1,3,5,7}:{(129,1),(130,1),(138,1),(224,1),(230,1),(232,1),(233,1),(341,1),(348,1),(444,1)}
       180:{1,2,6,7}:{(130,1),(131,1),(139,1),(148,1),(225,1),(233,1),(364,1),(423,1),(446,1),(510,1),(539,1)}
       181:{3,4,6}:{(132,1),(137,1),(151,1),(234,1),(235,1),(350,1),(490,1),(529,1)}
       182:{3,7}:{(132,1),(133,1)}
       183:{2,4,6,7}:{(133,1),(134,1),(139,1),(153,1),(236,1),(237,1),(352,1)}
       184:{1,5,7}:{(134,1),(135,1),(154,1),(237,1)}
       185:{2,4,5}:{(137,1),(231,1),(234,1),(263,1),(342,1),(372,1),(534,1),(548,1)}
       186:{2,4,7}:{(137,1),(138,1),(232,1),(235,1),(352,1),(552,1)}
       187:{2,3,6,7}:{(138,1),(139,1),(157,1),(233,1),(236,1),(240,1),(350,1),(446,1),(493,1),(539,1),(546,1)}
       188:{2,4}:{(140,1),(144,1),(242,1)}
       189:{2,4}:{(141,1),(146,1),(243,1)}
       190:{2,3,5,7}:{(141,1),(143,1),(147,1),(245,1),(246,1),(248,1),(359,1),(363,1)}
       191:{2,5}:{(142,1),(149,1)}
       192:{2,4,7}:{(142,1),(143,1),(150,1),(248,1),(511,1)}
       193:{1,2,5}:{(144,1),(226,1),(241,1),(249,1),(451,1)}
       194:{2,3,5}:{(144,1),(145,1),(227,1),(242,1),(249,1),(250,1),(342,1),(355,1),(451,1)}
       195:{1,3,4}:{(145,1),(146,1),(151,1),(243,1),(250,1),(325,1),(421,1),(490,1)}
       196:{1,4,5}:{(146,1),(149,1),(155,1),(244,1),(252,1),(456,1)}
       197:{1,4,7}:{(146,1),(147,1),(156,1),(245,1),(254,1)}
       198:{1,3,6}:{(147,1),(148,1),(157,1),(246,1),(254,1)}
       199:{1,3,5,6}:{(149,1),(158,1),(247,1),(252,1),(255,1),(256,1),(358,1),(369,1),(443,1),(452,1),(455,1)}
       200:{1,3,5,7}:{(149,1),(150,1),(159,1),(248,1),(253,1),(256,1),(359,1),(444,1)}
       201:{3,4,5}:{(151,1),(155,1),(234,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(352,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(237,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(252,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(253,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(254,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(255,1),(261,1),(264,1),(349,1),(373,1),(445,1),(453,1)}
       209:{2,3,6}:{(159,1),(256,1),(262,1),(350,1),(446,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(395,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(293,1),(398,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(188,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(175,1),(266,1),(275,1),(277,1),(380,1),(385,1),(396,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(178,1),(189,1),(276,1),(280,1),(281,1),(376,1),(471,1),(489,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(179,1),(277,1),(281,1),(282,1),(286,1),(306,1),(389,1),(391,1),(394,1),(398,1),(410,1),(488,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,6}:{(174,1),(193,1),(283,1),(284,1),(486,1)}
       227:{2,3,6}:{(174,1),(176,1),(194,1),(283,1),(285,1),(286,1),(486,1)}
       228:{2,7}:{(174,1),(175,1)}
       229:{1,3,4,6}:{(176,1),(178,1),(181,1),(195,1),(276,1),(285,1),(287,1),(288,1),(400,1)}
       230:{1,3,7}:{(176,1),(177,1),(182,1),(277,1),(286,1),(410,1),(540,1)}
       231:{1,4,5}:{(178,1),(185,1),(280,1),(287,1),(313,1),(395,1),(520,1)}
       232:{1,4,7}:{(178,1),(179,1),(186,1),(281,1)}
       233:{1,3,6,7}:{(179,1),(180,1),(187,1),(198,1),(282,1),(291,1),(400,1),(464,1),(483,1)}
       234:{3,5}:{(181,1),(185,1)}
       235:{3,4,7}:{(181,1),(182,1),(186,1),(293,1),(540,1)}
       236:{3,6,7}:{(182,1),(183,1),(203,1),(295,1)}
       237:{2,5,7}:{(183,1),(184,1),(204,1),(295,1)}
       238:{2,4,5,6}:{(185,1),(205,1),(289,1),(292,1),(296,1),(297,1),(320,1),(397,1),(419,1),(515,1),(544,1),(551,1)}
       239:{2,4,5,7}:{(185,1),(186,1),(290,1),(293,1),(297,1),(298,1),(398,1),(405,1)}
       240:{2,4,6,7}:{(186,1),(187,1),(207,1),(291,1),(294,1),(297,1),(298,1),(517,1)}
       241:{1,2,4}:{(188,1),(193,1),(299,1),(308,1),(407,1)}
       242:{2,3}:{(188,1),(299,1)}
       243:{3,4}:{(189,1),(301,1)}
       244:{2,4,5}:{(189,1),(191,1),(196,1),(301,1),(303,1)}
       245:{2,4,7}:{(189,1),(190,1),(197,1),(302,1),(305,1)}
       246:{2,3,6}:{(190,1),(198,1),(305,1),(307,1),(411,1)}
       247:{2,5,6}:{(191,1),(199,1),(303,1),(306,1),(307,1),(486,1)}
       248:{2,5,7}:{(191,1),(192,1),(200,1),(307,1)}
       249:{1,3,5}:{(193,1),(194,1),(283,1),(299,1),(308,1),(395,1)}
       250:{2,4}:{(194,1),(195,1),(308,1)}
       251:{1,3,4,5}:{(195,1),(196,1),(201,1),(287,1),(301,1),(309,1),(310,1),(379,1),(408,1),(462,1),(513,1)}
       252:{1,4,6}:{(196,1),(199,1),(205,1),(303,1),(311,1),(489,1)}
       253:{1,4,5,7}:{(196,1),(197,1),(200,1),(206,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       254:{1,4,6}:{(197,1),(198,1),(207,1),(305,1),(313,1)}
       255:{1,3,5,7}:{(199,1),(208,1),(306,1),(311,1),(314,1),(410,1),(417,1),(482,1),(487,1),(488,1)}
       256:{1,3,6}:{(200,1),(209,1),(307,1),(312,1),(411,1),(483,1)}
       257:{3,4,6}:{(201,1),(205,1),(292,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(293,1),(315,1),(316,1),(317,1),(405,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(295,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(311,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(312,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(313,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(314,1),(319,1),(403,1),(484,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(444,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(350,1),(446,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(450,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(241,1),(321,1),(329,1),(330,1),(340,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(242,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(228,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(243,1),(325,1),(333,1),(334,1),(358,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(231,1),(333,1),(342,1),(363,1),(456,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(232,1),(334,1),(440,1),(512,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(233,1),(246,1),(335,1),(339,1),(364,1),(426,1),(438,1),(446,1),(454,1)}
       283:{1,3,6}:{(226,1),(227,1),(249,1),(340,1),(341,1)}
       284:{1,2,7}:{(226,1),(228,1),(341,1),(511,1)}
       285:{2,4,6}:{(227,1),(229,1),(250,1),(340,1),(342,1),(343,1),(446,1)}
       286:{2,3,7}:{(227,1),(228,1),(230,1),(341,1),(343,1),(511,1)}
       287:{1,3,5}:{(229,1),(231,1),(234,1),(333,1),(342,1)}
       288:{1,3,4,7}:{(229,1),(230,1),(232,1),(235,1),(334,1),(343,1),(345,1)}
       289:{1,4,5,6}:{(231,1),(238,1),(252,1),(337,1),(344,1),(346,1),(347,1),(369,1),(443,1),(494,1),(536,1)}
       290:{1,4,5,7}:{(231,1),(232,1),(239,1),(338,1),(345,1),(347,1),(348,1),(444,1)}
       291:{1,4,6,7}:{(232,1),(233,1),(240,1),(254,1),(339,1),(347,1),(348,1),(496,1)}
       292:{3,5,6}:{(234,1),(238,1),(257,1),(349,1),(350,1),(529,1)}
       293:{3,5,7}:{(234,1),(235,1),(239,1),(350,1)}
       294:{3,4,6,7}:{(235,1),(236,1),(240,1),(259,1),(350,1),(351,1),(352,1),(450,1),(531,1),(546,1),(552,1)}
       295:{3,5,7}:{(236,1),(237,1),(260,1),(352,1)}
       296:{2,4,5,7}:{(238,1),(261,1),(346,1),(349,1),(353,1),(373,1),(445,1),(459,1),(532,1),(549,1),(552,1)}
       297:{2,4,6}:{(239,1),(347,1),(350,1),(354,1),(446,1),(450,1)}
       298:{2,5,7}:{(240,1),(263,1),(348,1),(351,1),(354,1),(534,1)}
       299:{1,3}:{(241,1),(242,1),(355,1)}
       300:{2,3,4}:{(242,1),(243,1),(250,1),(356,1),(357,1),(490,1)}
       301:{3,5}:{(243,1),(244,1),(358,1)}
       302:{3,4,7}:{(243,1),(245,1),(359,1),(360,1),(512,1)}
       303:{2,4,6}:{(244,1),(247,1),(252,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(244,1),(245,1),(248,1),(253,1),(359,1),(361,1),(362,1),(363,1),(456,1),(457,1),(512,1)}
       305:{2,4,6}:{(245,1),(246,1),(254,1),(360,1),(363,1)}
       306:{2,5,7}:{(247,1),(255,1),(361,1),(364,1),(511,1)}
       307:{2,6}:{(248,1),(256,1)}
       308:{1,4}:{(249,1),(250,1)}
       309:{2,4,5}:{(250,1),(251,1),(342,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(251,1),(252,1),(257,1),(344,1),(358,1),(366,1),(367,1),(427,1),(452,1),(494,1),(529,1)}
       311:{1,4,7}:{(252,1),(255,1),(261,1),(361,1),(512,1)}
       312:{1,4,6}:{(253,1),(256,1),(262,1),(362,1),(369,1)}
       313:{1,5}:{(254,1),(263,1),(363,1)}
       314:{1,3,6,7}:{(255,1),(256,1),(264,1),(364,1),(368,1),(454,1),(510,1)}
       315:{3,4,7}:{(257,1),(261,1),(349,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(350,1),(371,1),(450,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(352,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(369,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(395,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(483,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(299,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(284,1),(375,1),(385,1),(396,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(285,1),(300,1),(376,1),(384,1),(386,1),(387,1),(409,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(410,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(289,1),(303,1),(388,1),(392,1),(393,1),(397,1),(414,1),(465,1),(489,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(290,1),(389,1),(393,1),(394,1),(398,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(291,1),(305,1),(390,1),(393,1),(394,1),(467,1)}
       340:{1,4,6}:{(283,1),(285,1),(308,1),(395,1),(396,1),(483,1)}
       341:{1,3,7}:{(283,1),(284,1),(286,1),(396,1)}
       342:{2,5}:{(285,1),(287,1),(395,1)}
       343:{2,4,7}:{(285,1),(286,1),(288,1),(396,1),(398,1)}
       344:{1,3,5,6}:{(287,1),(289,1),(292,1),(310,1),(388,1),(397,1),(399,1),(400,1)}
       345:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(389,1),(398,1),(400,1)}
       346:{1,4,5,7}:{(289,1),(296,1),(311,1),(392,1),(399,1),(401,1),(417,1),(482,1),(518,1),(545,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(400,1),(402,1),(483,1)}
       348:{1,5,7}:{(291,1),(298,1),(313,1),(394,1),(402,1),(520,1)}
       349:{3,5,7}:{(292,1),(296,1),(315,1),(403,1),(540,1)}
       350:{3,6}:{(293,1),(297,1)}
       351:{3,5,7}:{(294,1),(298,1),(317,1),(404,1),(405,1),(542,1)}
       352:{4,7}:{(295,1),(318,1)}
       353:{2,4,6,7}:{(296,1),(297,1),(401,1),(403,1),(406,1),(484,1),(485,1)}
       354:{2,5,6}:{(297,1),(298,1),(402,1),(404,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(301,1),(309,1),(408,1),(409,1),(513,1)}
       358:{3,6}:{(301,1),(303,1),(410,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,4,6}:{(302,1),(305,1),(411,1),(412,1),(489,1)}
       361:{2,4,7}:{(303,1),(306,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(307,1),(312,1),(411,1),(414,1),(489,1)}
       363:{2,5}:{(305,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(395,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(397,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(311,1),(315,1),(399,1),(410,1),(416,1),(468,1),(487,1),(518,1),(540,1)}
       368:{1,4,6,7}:{(311,1),(312,1),(314,1),(319,1),(413,1),(417,1)}
       369:{1,5,6}:{(312,1),(313,1),(320,1),(414,1),(417,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(403,1),(418,1),(485,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(444,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(456,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(355,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(340,1),(356,1),(421,1),(431,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(342,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(343,1),(425,1),(434,1),(436,1),(453,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(358,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(360,1),(429,1),(438,1),(439,1),(440,1),(454,1),(509,1),(512,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(361,1),(437,1),(441,1),(445,1),(457,1),(497,1),(512,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(347,1),(438,1),(442,1),(446,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(363,1),(439,1),(442,1),(499,1)}
       395:{1,5}:{(340,1),(342,1)}
       396:{1,4,7}:{(340,1),(341,1),(343,1),(444,1)}
       397:{2,5,6}:{(342,1),(344,1),(366,1),(443,1),(445,1),(446,1)}
       398:{2,5,7}:{(342,1),(343,1),(345,1),(444,1),(446,1)}
       399:{1,3,5,7}:{(344,1),(346,1),(349,1),(367,1),(437,1),(445,1),(447,1)}
       400:{1,3,6}:{(345,1),(347,1),(350,1),(438,1),(446,1)}
       401:{1,4,6,7}:{(346,1),(347,1),(353,1),(441,1),(447,1),(448,1),(510,1)}
       402:{1,5,6}:{(347,1),(348,1),(354,1),(442,1)}
       403:{3,6,7}:{(349,1),(350,1),(353,1)}
       404:{3,5,6}:{(350,1),(351,1),(354,1),(450,1)}
       405:{4,5,7}:{(351,1),(352,1),(372,1),(450,1),(548,1),(552,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(449,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(358,1),(366,1),(452,1),(453,1),(529,1)}
       410:{3,7}:{(358,1),(361,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,5}:{(360,1),(363,1),(456,1)}
       413:{2,4,6,7}:{(361,1),(362,1),(364,1),(368,1),(454,1),(457,1),(512,1)}
       414:{2,5,6}:{(362,1),(363,1),(369,1),(455,1),(457,1)}
       415:{1,4,6}:{(365,1),(366,1),(443,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(445,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(450,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(483,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(489,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(407,1),(460,1),(472,1),(473,1),(486,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(395,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(396,1),(463,1),(473,1),(475,1),(487,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(409,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(398,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(410,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(412,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(401,1),(478,1),(481,1),(484,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(402,1),(479,1)}
       443:{1,5,6}:{(395,1),(397,1),(415,1),(482,1),(483,1)}
       444:{1,5,7}:{(395,1),(396,1),(398,1),(483,1)}
       445:{2,5,7}:{(397,1),(399,1),(416,1),(482,1),(484,1)}
       446:{2,6}:{(398,1),(400,1),(483,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(401,1),(403,1),(478,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{3,5,6,7}:{(403,1),(404,1),(406,1),(418,1),(485,1),(550,1)}
       450:{4,6}:{(404,1),(405,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(410,1),(416,1),(487,1),(540,1)}
       454:{3,6,7}:{(410,1),(411,1),(413,1),(488,1)}
       455:{3,5,6}:{(411,1),(412,1),(414,1),(488,1),(489,1)}
       456:{4,5}:{(412,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(488,1)}
       458:{1,4,7}:{(415,1),(416,1),(482,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(512,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(511,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(443,1),(452,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(444,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(453,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(446,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(456,1),(502,1),(509,1),(512,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(508,1),(537,1)}
       482:{1,5,7}:{(443,1),(445,1),(458,1),(510,1)}
       483:{1,6}:{(444,1),(446,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{3,5,7}:{(454,1),(455,1),(457,1),(512,1)}
       489:{4,6}:{(455,1),(456,1),(512,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(486,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(482,1),(487,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(483,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(484,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(488,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(511,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 617 :   0:{3,5,6,7}:{(2,1),(3,1),(23,1),(27,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(68,1),(218,1),(321,1),(408,1),(417,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(48,1),(265,1),(376,1)}
         3:{4,6,7}:{(0,1),(12,1),(364,1),(446,1)}
         4:{4,5,6}:{(12,1),(14,1),(369,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(456,1)}
         6:{2,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(55,1),(100,1),(176,1),(278,1)}
         7:{2,3,4,7}:{(11,1),(17,1),(18,1),(100,1),(112,1),(176,1),(177,1),(374,1),(383,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(75,1),(214,1),(337,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(22,1),(23,1),(64,1),(418,1)}
        10:{2,4,5,6}:{(4,1),(21,1),(22,1),(24,1),(29,1),(66,1),(71,1),(224,1),(314,1),(330,1),(404,1),(418,1)}
        11:{2,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(33,1),(417,1),(426,1)}
        12:{4,5,7}:{(3,1),(4,1),(27,1)}
        13:{3,4,6,7}:{(3,1),(5,1),(23,1),(27,1),(28,1),(68,1)}
        14:{3,5,6}:{(4,1),(5,1),(27,1),(29,1),(321,1)}
        15:{2,4,6}:{(5,1),(6,1),(25,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(26,1),(30,1),(31,1),(75,1),(83,1),(139,1),(140,1),(235,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(33,1),(34,1),(71,1),(135,1),(152,1),(153,1),(226,1),(249,1),(329,1),(339,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(34,1),(35,1),(79,1),(82,1),(139,1),(140,1),(228,1),(237,1),(425,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(107,1),(166,1),(292,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(40,1),(95,1),(385,1)}
        21:{1,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(50,1),(97,1),(103,1),(173,1),(262,1),(287,1),(385,1)}
        22:{2,4,5,7}:{(9,1),(10,1),(12,1),(39,1),(42,1),(48,1),(94,1),(100,1),(265,1),(272,1),(364,1)}
        23:{3,6,7}:{(9,1),(42,1),(456,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(276,1),(379,1),(456,1)}
        25:{2,3,6}:{(11,1),(15,1),(46,1),(456,1),(463,1)}
        26:{1,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(52,1),(56,1),(462,1)}
        27:{3,5,7}:{(12,1),(13,1),(14,1),(48,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(100,1)}
        29:{2,5,6}:{(14,1),(15,1),(48,1),(50,1),(278,1)}
        30:{1,4,6}:{(15,1),(16,1),(46,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(47,1),(51,1),(52,1),(106,1),(107,1),(118,1),(186,1),(191,1),(193,1),(195,1)}
        32:{3,4,5}:{(44,1),(55,1),(301,1),(379,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(278,1),(379,1),(388,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(46,1),(56,1),(57,1),(103,1),(110,1),(116,1),(181,1),(184,1),(189,1),(198,1),(204,1),(207,1),(387,1)}
        35:{2,4,7}:{(18,1),(47,1),(57,1),(58,1),(280,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(147,1),(245,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(64,1),(344,1)}
        38:{2,4,5,6}:{(21,1),(60,1),(62,1),(66,1),(77,1),(122,1),(129,1),(143,1),(149,1),(212,1),(241,1),(344,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(22,1),(60,1),(63,1),(75,1),(133,1),(140,1),(214,1),(220,1)}
        40:{1,3,6,7}:{(20,1),(23,1),(61,1),(63,1),(64,1),(427,1)}
        41:{1,3,5,6}:{(21,1),(24,1),(62,1),(63,1),(65,1),(66,1),(340,1),(427,1)}
        42:{3,5,7}:{(22,1),(23,1),(24,1),(68,1),(324,1)}
        43:{2,3,6,7}:{(23,1),(25,1),(28,1),(64,1),(69,1),(70,1)}
        44:{3,4,6}:{(24,1),(32,1),(68,1),(71,1),(404,1)}
        45:{2,3,5,6}:{(24,1),(25,1),(29,1),(33,1),(66,1),(69,1),(71,1),(72,1),(135,1)}
        46:{1,3,6}:{(25,1),(26,1),(30,1),(73,1),(78,1),(491,1)}
        47:{2,5,7}:{(26,1),(35,1),(73,1),(84,1)}
        48:{2,5,7}:{(27,1),(28,1),(29,1),(75,1)}
        49:{1,4,6,7}:{(28,1),(30,1),(70,1),(75,1),(76,1),(140,1)}
        50:{1,5,6}:{(29,1),(30,1),(75,1),(77,1),(235,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(237,1)}
        53:{1,3,4,5}:{(32,1),(65,1),(80,1),(83,1),(125,1),(155,1),(160,1),(217,1),(254,1),(320,1),(340,1)}
        54:{1,2,4,7}:{(35,1),(67,1),(81,1),(82,1),(139,1),(154,1),(333,1),(425,1)}
        55:{2,4,5}:{(32,1),(33,1),(71,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(235,1),(429,1)}
        57:{2,4,6}:{(34,1),(35,1),(73,1),(84,1),(85,1),(161,1),(232,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(237,1)}
        59:{4,6,7}:{(36,1),(87,1),(193,1),(296,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(39,1),(87,1),(89,1),(94,1),(107,1),(166,1),(169,1),(186,1),(193,1)}
        61:{3,6,7}:{(37,1),(89,1),(391,1)}
        62:{3,5,6}:{(38,1),(89,1),(91,1),(189,1),(293,1),(391,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(41,1),(42,1),(89,1),(93,1),(94,1)}
        64:{2,6,7}:{(40,1),(94,1),(95,1),(463,1)}
        65:{1,3,4,6}:{(41,1),(44,1),(53,1),(91,1),(93,1),(96,1),(103,1),(173,1),(181,1),(189,1),(276,1)}
        66:{2,5,6}:{(41,1),(94,1),(96,1),(97,1),(388,1),(463,1)}
        67:{1,2,5,7}:{(47,1),(54,1),(98,1),(99,1),(115,1),(201,1),(462,1)}
        68:{3,4,7}:{(42,1),(44,1),(100,1),(364,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(45,1),(48,1),(94,1),(100,1),(101,1),(177,1)}
        70:{1,3,6,7}:{(43,1),(46,1),(49,1),(95,1),(101,1),(102,1),(108,1)}
        71:{2,4,6}:{(44,1),(45,1),(55,1),(100,1),(103,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(97,1),(101,1),(103,1),(104,1),(109,1),(181,1),(189,1)}
        73:{2,6}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(52,1),(58,1),(99,1),(105,1),(106,1),(119,1),(191,1)}
        75:{1,5,7}:{(48,1),(49,1),(50,1),(107,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1),(107,1),(108,1),(186,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(107,1),(109,1),(191,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(106,1),(110,1),(193,1),(207,1)}
        80:{2,4,5}:{(53,1),(96,1),(113,1),(114,1),(202,1),(306,1),(388,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(98,1),(115,1),(116,1),(184,1),(200,1),(204,1),(284,1),(299,1),(387,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(103,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(189,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(106,1),(117,1),(120,1),(121,1),(290,1),(311,1),(383,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(126,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(62,1),(126,1),(237,1)}
        90:{2,3,6,7}:{(61,1),(64,1),(124,1),(127,1),(128,1),(312,1)}
        91:{3,4,6}:{(62,1),(125,1),(126,1),(129,1),(149,1)}
        92:{2,3,5,6}:{(62,1),(66,1),(127,1),(129,1),(130,1),(135,1),(212,1),(216,1),(312,1)}
        93:{1,3,4,7}:{(63,1),(65,1),(68,1),(126,1),(132,1),(140,1),(220,1),(228,1),(237,1),(324,1)}
        94:{2,5,7}:{(63,1),(64,1),(66,1),(132,1),(133,1)}
        95:{1,6,7}:{(64,1),(133,1),(491,1)}
        96:{2,4,6}:{(65,1),(66,1),(80,1),(132,1),(135,1),(136,1),(232,1)}
        97:{1,5,6}:{(66,1),(133,1),(136,1),(429,1),(491,1)}
        98:{1,2,6}:{(67,1),(73,1),(138,1),(251,1),(491,1)}
        99:{1,3,5,7}:{(67,1),(74,1),(82,1),(131,1),(138,1),(139,1),(157,1),(235,1)}
       100:{2,4,7}:{(68,1),(69,1),(71,1),(140,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(133,1),(140,1),(141,1),(147,1),(228,1),(237,1)}
       102:{2,6,7}:{(70,1),(73,1),(141,1)}
       103:{1,4,6}:{(71,1),(72,1),(83,1),(140,1),(143,1),(149,1)}
       104:{2,5,6}:{(72,1),(73,1),(84,1),(141,1),(143,1),(232,1)}
       105:{2,3,6}:{(73,1),(74,1),(78,1),(138,1),(145,1)}
       106:{2,4,7}:{(74,1),(79,1),(139,1),(145,1),(161,1)}
       107:{2,5,7}:{(75,1),(76,1),(77,1),(147,1)}
       108:{3,6,7}:{(76,1),(78,1),(147,1),(237,1)}
       109:{3,5,6}:{(77,1),(78,1),(147,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(145,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(146,1),(150,1),(151,1),(244,1),(247,1),(258,1),(343,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(135,1),(152,1),(155,1),(160,1),(320,1)}
       114:{1,4,5}:{(80,1),(136,1),(155,1),(354,1),(429,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(235,1),(250,1),(429,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(139,1),(154,1),(158,1),(159,1),(218,1),(357,1),(425,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(143,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(145,1),(158,1),(161,1),(162,1),(163,1),(240,1),(259,1),(339,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(146,1),(159,1),(162,1),(163,1),(343,1),(426,1)}
       122:{4,5,6}:{(87,1),(164,1),(296,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(169,1),(261,1)}
       125:{3,4,5}:{(91,1),(168,1),(195,1),(293,1),(505,1)}
       126:{3,4,7}:{(89,1),(91,1),(169,1),(193,1)}
       127:{2,3,5,7}:{(89,1),(90,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1)}
       128:{1,3,6,7}:{(90,1),(95,1),(167,1),(170,1),(171,1),(266,1),(359,1)}
       129:{2,4,6}:{(91,1),(92,1),(168,1),(169,1),(173,1)}
       130:{1,3,5,6}:{(92,1),(97,1),(170,1),(173,1),(174,1),(181,1),(262,1),(267,1),(276,1),(359,1),(361,1)}
       131:{2,3,5,7}:{(99,1),(112,1),(175,1),(176,1),(199,1),(201,1),(270,1),(278,1)}
       132:{2,4,7}:{(93,1),(94,1),(96,1),(177,1),(178,1),(280,1)}
       133:{1,5,7}:{(94,1),(95,1),(97,1),(178,1)}
       134:{1,2,6,7}:{(95,1),(98,1),(102,1),(171,1),(179,1),(180,1),(304,1),(439,1),(463,1),(514,1),(539,1)}
       135:{2,3,6}:{(96,1),(113,1),(177,1),(181,1),(189,1),(276,1)}
       136:{1,4,6}:{(96,1),(97,1),(114,1),(178,1),(181,1)}
       137:{1,2,5,6}:{(97,1),(98,1),(104,1),(115,1),(174,1),(179,1),(182,1),(183,1),(284,1),(303,1),(366,1),(388,1),(439,1),(463,1),(465,1),(512,1)}
       138:{1,3,6}:{(98,1),(99,1),(105,1),(175,1),(184,1)}
       139:{1,4,7}:{(99,1),(106,1),(176,1),(184,1),(204,1)}
       140:{1,4,7}:{(100,1),(101,1),(103,1),(186,1),(193,1)}
       141:{2,5,7}:{(101,1),(102,1),(104,1),(186,1),(280,1)}
       142:{2,3,6,7}:{(102,1),(105,1),(108,1),(180,1),(187,1),(188,1),(391,1),(463,1),(496,1),(539,1),(549,1)}
       143:{2,4,6}:{(103,1),(104,1),(118,1),(186,1),(189,1)}
       144:{2,3,5,6}:{(104,1),(105,1),(109,1),(119,1),(183,1),(187,1),(189,1),(190,1),(191,1),(285,1),(292,1),(293,1),(388,1),(391,1),(448,1),(463,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       145:{2,4,6}:{(105,1),(106,1),(110,1),(184,1),(191,1)}
       146:{2,4,5,7}:{(106,1),(111,1),(121,1),(185,1),(191,1),(192,1),(208,1),(295,1),(311,1)}
       147:{3,5,7}:{(107,1),(108,1),(109,1),(193,1)}
       148:{3,4,6,7}:{(108,1),(110,1),(188,1),(193,1),(194,1),(290,1),(296,1),(391,1),(530,1),(549,1),(552,1)}
       149:{4,6}:{(109,1),(193,1),(195,1)}
       150:{3,5}:{(110,1),(191,1),(195,1)}
       151:{3,4,6}:{(111,1),(192,1),(196,1),(296,1),(391,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(368,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(181,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(182,1),(202,1),(203,1),(204,1),(268,1),(287,1),(299,1),(302,1),(306,1),(366,1),(388,1),(399,1),(449,1),(467,1),(506,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(184,1),(200,1),(204,1),(205,1),(206,1),(269,1),(301,1),(308,1),(387,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(185,1),(201,1),(205,1),(206,1),(270,1),(462,1)}
       160:{3,5}:{(118,1),(189,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(191,1),(205,1),(208,1),(293,1),(388,1)}
       163:{2,3,6}:{(121,1),(192,1),(206,1),(391,1),(463,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(126,1),(211,1),(213,1),(244,1),(343,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(128,1),(214,1),(215,1),(220,1),(313,1)}
       168:{2,4,5}:{(125,1),(129,1),(216,1),(217,1),(480,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(220,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(130,1),(133,1),(214,1),(220,1),(221,1),(228,1),(317,1),(324,1)}
       171:{2,6,7}:{(128,1),(221,1),(402,1)}
       172:{2,3,4,6}:{(129,1),(135,1),(152,1),(216,1),(219,1),(223,1),(240,1),(312,1),(339,1),(420,1),(480,1),(516,1)}
       173:{1,4,6}:{(129,1),(130,1),(217,1),(220,1),(224,1),(404,1)}
       174:{2,5,6}:{(130,1),(221,1),(224,1),(232,1),(319,1),(402,1)}
       175:{2,3,6}:{(131,1),(138,1),(226,1),(251,1),(322,1)}
       176:{2,4,7}:{(131,1),(139,1),(218,1),(226,1),(249,1)}
       177:{2,3,7}:{(132,1),(135,1),(228,1),(237,1),(324,1)}
       178:{1,4,7}:{(132,1),(133,1),(136,1),(228,1)}
       179:{1,2,5,7}:{(133,1),(134,1),(137,1),(141,1),(221,1),(229,1),(230,1),(333,1),(353,1),(426,1),(493,1),(529,1)}
       180:{1,3,6,7}:{(134,1),(138,1),(142,1),(222,1),(230,1),(231,1),(427,1),(471,1),(491,1)}
       181:{1,3,6}:{(135,1),(136,1),(155,1),(228,1),(232,1)}
       182:{1,2,4,6}:{(136,1),(137,1),(143,1),(156,1),(224,1),(229,1),(232,1),(233,1),(234,1),(339,1),(352,1),(437,1),(494,1),(525,1)}
       183:{1,3,5,6}:{(137,1),(138,1),(144,1),(157,1),(225,1),(230,1),(233,1),(234,1),(235,1),(337,1),(338,1),(340,1),(410,1),(427,1),(429,1),(471,1),(491,1),(517,1)}
       184:{1,4,6}:{(138,1),(139,1),(145,1),(226,1),(235,1)}
       185:{1,4,5,7}:{(139,1),(146,1),(159,1),(227,1),(235,1),(236,1),(255,1),(342,1),(357,1)}
       186:{2,4,7}:{(140,1),(141,1),(143,1),(237,1)}
       187:{2,3,5,7}:{(141,1),(142,1),(144,1),(147,1),(230,1),(237,1),(238,1),(239,1),(334,1),(343,1),(426,1),(529,1),(545,1),(551,1)}
       188:{2,4,6,7}:{(142,1),(145,1),(148,1),(231,1),(238,1),(239,1),(344,1),(516,1)}
       189:{3,6}:{(143,1),(160,1),(237,1)}
       190:{2,4,6}:{(144,1),(149,1),(161,1),(234,1),(238,1),(240,1),(241,1),(480,1),(550,1)}
       191:{2,5}:{(145,1),(150,1),(235,1)}
       192:{2,4,6}:{(146,1),(151,1),(163,1),(236,1),(242,1)}
       193:{4,7}:{(147,1),(149,1)}
       194:{3,5,7}:{(148,1),(150,1),(239,1),(244,1),(245,1),(540,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(242,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(243,1),(247,1),(348,1),(358,1),(432,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(232,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(233,1),(253,1),(254,1),(320,1),(349,1),(351,1),(524,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(235,1),(250,1),(255,1),(321,1),(351,1),(429,1)}
       206:{1,3,6}:{(159,1),(163,1),(236,1),(251,1),(322,1),(491,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(242,1),(256,1),(259,1),(260,1),(346,1),(430,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(243,1),(257,1),(260,1),(432,1),(492,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(296,1),(391,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(169,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(171,1),(265,1),(266,1),(272,1),(360,1),(364,1)}
       216:{2,3,5}:{(168,1),(172,1),(267,1),(293,1),(388,1),(531,1)}
       217:{1,4,5}:{(168,1),(173,1),(267,1),(268,1),(442,1),(449,1)}
       218:{3,4,7}:{(176,1),(269,1),(270,1),(301,1),(452,1)}
       219:{2,3,4,7}:{(169,1),(172,1),(177,1),(263,1),(271,1),(290,1),(383,1),(453,1),(501,1)}
       220:{1,4,7}:{(169,1),(170,1),(173,1),(272,1),(364,1)}
       221:{2,5,7}:{(170,1),(171,1),(174,1),(272,1),(280,1)}
       222:{2,3,6,7}:{(171,1),(175,1),(180,1),(266,1),(273,1),(274,1),(304,1),(371,1),(440,1),(456,1),(463,1)}
       223:{1,3,4,6}:{(172,1),(173,1),(181,1),(198,1),(267,1),(271,1),(275,1),(276,1),(359,1),(368,1),(377,1),(387,1),(441,1),(449,1),(497,1)}
       224:{2,4,6}:{(173,1),(174,1),(268,1),(272,1),(276,1)}
       225:{2,3,5,6}:{(174,1),(175,1),(183,1),(199,1),(273,1),(276,1),(277,1),(278,1),(285,1),(303,1),(361,1),(367,1),(370,1),(376,1),(379,1),(388,1),(397,1),(440,1),(456,1),(463,1),(498,1)}
       226:{2,4,6}:{(175,1),(176,1),(184,1),(269,1),(278,1)}
       227:{2,4,5,7}:{(176,1),(185,1),(201,1),(270,1),(278,1),(279,1),(302,1),(369,1),(381,1),(398,1),(452,1)}
       228:{1,3,7}:{(177,1),(178,1),(181,1),(280,1)}
       229:{1,2,4,7}:{(178,1),(179,1),(182,1),(186,1),(272,1),(280,1),(281,1),(282,1),(383,1),(398,1),(470,1),(515,1),(538,1)}
       230:{1,3,5,7}:{(179,1),(180,1),(183,1),(187,1),(273,1),(281,1),(282,1),(283,1),(382,1),(462,1)}
       231:{1,4,6,7}:{(180,1),(184,1),(188,1),(274,1),(282,1),(283,1),(385,1),(497,1)}
       232:{2,6}:{(181,1),(202,1),(280,1)}
       233:{1,3,6}:{(182,1),(189,1),(203,1),(276,1),(281,1),(285,1),(397,1),(537,1)}
       234:{1,4,6}:{(183,1),(190,1),(204,1),(277,1),(282,1),(287,1),(449,1)}
       235:{1,5}:{(184,1),(191,1),(278,1)}
       236:{1,4,6}:{(185,1),(192,1),(206,1),(279,1),(288,1)}
       237:{3,7}:{(186,1),(189,1)}
       238:{2,4,7}:{(187,1),(190,1),(193,1),(282,1),(290,1),(552,1)}
       239:{2,5,7}:{(188,1),(191,1),(194,1),(283,1),(292,1),(531,1)}
       240:{3,4,6}:{(189,1),(190,1),(207,1),(290,1),(293,1),(391,1),(505,1),(537,1)}
       241:{2,4,5}:{(190,1),(191,1),(195,1),(287,1),(293,1),(388,1),(531,1),(546,1)}
       242:{2,5,6}:{(191,1),(192,1),(196,1),(288,1),(295,1)}
       243:{2,4,6,7}:{(192,1),(197,1),(210,1),(289,1),(295,1),(311,1)}
       244:{4,5,7}:{(193,1),(194,1),(195,1),(296,1),(546,1),(552,1)}
       245:{3,5,6}:{(194,1),(292,1),(296,1),(391,1)}
       246:{4,5,6}:{(195,1),(196,1),(296,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(295,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(284,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(285,1),(300,1),(305,1),(306,1),(388,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(368,1),(449,1),(505,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(369,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(288,1),(303,1),(308,1),(309,1),(370,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(289,1),(304,1),(309,1),(371,1),(514,1)}
       258:{3,4,5}:{(207,1),(208,1),(293,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(295,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(219,1),(312,1),(315,1),(343,1),(426,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(220,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(324,1),(403,1)}
       267:{1,3,5}:{(216,1),(217,1),(223,1),(319,1),(320,1),(429,1),(473,1),(517,1)}
       268:{2,4,5}:{(217,1),(224,1),(319,1),(320,1),(411,1)}
       269:{3,4,6}:{(218,1),(226,1),(321,1),(322,1),(413,1)}
       270:{3,5,7}:{(218,1),(227,1),(321,1),(322,1),(351,1),(436,1)}
       271:{1,3,4,7}:{(219,1),(220,1),(223,1),(228,1),(315,1),(323,1),(324,1),(407,1),(415,1),(425,1),(476,1)}
       272:{2,4,7}:{(220,1),(221,1),(224,1),(324,1)}
       273:{2,3,5,7}:{(221,1),(222,1),(225,1),(230,1),(317,1),(324,1),(325,1),(326,1),(334,1),(353,1),(414,1),(417,1),(426,1),(436,1)}
       274:{2,4,6,7}:{(222,1),(226,1),(231,1),(318,1),(325,1),(326,1),(418,1),(472,1)}
       275:{2,4,6}:{(223,1),(232,1),(248,1),(319,1),(323,1),(328,1),(402,1),(411,1)}
       276:{3,6}:{(224,1),(320,1),(324,1)}
       277:{2,4,6}:{(225,1),(234,1),(249,1),(325,1),(329,1),(330,1),(404,1),(411,1),(413,1)}
       278:{2,5}:{(226,1),(235,1),(321,1)}
       279:{2,4,6}:{(227,1),(236,1),(251,1),(322,1),(331,1),(413,1)}
       280:{2,7}:{(228,1),(232,1)}
       281:{1,3,7}:{(229,1),(233,1),(237,1),(324,1),(334,1),(436,1),(545,1)}
       282:{1,4,7}:{(230,1),(234,1),(238,1),(325,1)}
       283:{1,5,7}:{(231,1),(235,1),(239,1),(326,1),(337,1),(517,1)}
       284:{1,2,6}:{(232,1),(252,1),(333,1),(338,1),(494,1)}
       285:{2,3,6}:{(232,1),(233,1),(253,1),(334,1),(338,1),(339,1),(494,1)}
       286:{1,3,4,6}:{(233,1),(234,1),(240,1),(254,1),(329,1),(335,1),(339,1),(340,1),(427,1)}
       287:{1,4,5}:{(234,1),(235,1),(241,1),(330,1),(340,1),(429,1),(517,1)}
       288:{1,5,6}:{(235,1),(236,1),(242,1),(331,1),(342,1)}
       289:{1,4,6,7}:{(236,1),(243,1),(257,1),(332,1),(342,1),(357,1)}
       290:{3,4,7}:{(237,1),(238,1),(240,1),(343,1),(545,1)}
       291:{2,4,5,7}:{(238,1),(239,1),(241,1),(244,1),(336,1),(343,1),(344,1),(426,1)}
       292:{2,5,6}:{(239,1),(245,1),(337,1),(344,1)}
       293:{3,5}:{(240,1),(241,1)}
       294:{2,4,5,6}:{(241,1),(242,1),(246,1),(259,1),(341,1),(344,1),(346,1),(347,1),(430,1),(525,1),(541,1),(550,1)}
       295:{2,5,7}:{(242,1),(243,1),(247,1),(342,1)}
       296:{4,6}:{(244,1),(245,1)}
       297:{3,5,6,7}:{(245,1),(247,1),(345,1),(348,1),(432,1),(551,1)}
       298:{4,5,7}:{(246,1),(247,1),(348,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(338,1),(349,1),(354,1),(429,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(340,1),(351,1),(355,1),(356,1),(412,1),(434,1),(481,1),(524,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(413,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(342,1),(353,1),(357,1),(414,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(346,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(391,1),(463,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(271,1),(359,1),(362,1),(363,1),(462,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(272,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(269,1),(274,1),(364,1),(365,1),(371,1),(374,1),(441,1),(446,1),(452,1),(456,1)}
       319:{2,5}:{(267,1),(275,1)}
       320:{3,5}:{(268,1),(276,1),(368,1)}
       321:{3,5}:{(269,1),(278,1),(369,1)}
       322:{3,6}:{(270,1),(279,1)}
       323:{2,4,7}:{(271,1),(275,1),(280,1),(362,1),(373,1)}
       324:{3,7}:{(272,1),(276,1)}
       325:{2,4,7}:{(273,1),(277,1),(282,1),(364,1),(374,1),(452,1)}
       326:{2,5,7}:{(274,1),(278,1),(283,1),(365,1),(376,1),(498,1)}
       327:{1,2,4,6}:{(275,1),(284,1),(299,1),(366,1),(372,1),(377,1),(387,1),(439,1),(449,1),(458,1),(497,1)}
       328:{2,3,6}:{(275,1),(276,1),(300,1),(367,1),(373,1),(377,1)}
       329:{3,4,6}:{(276,1),(277,1),(301,1),(368,1),(374,1),(379,1),(397,1),(456,1)}
       330:{2,4,5}:{(277,1),(278,1),(287,1),(369,1),(379,1),(388,1),(442,1),(498,1)}
       331:{2,5,6}:{(278,1),(279,1),(288,1),(370,1),(381,1)}
       332:{2,4,6,7}:{(279,1),(289,1),(304,1),(371,1),(381,1),(398,1),(452,1)}
       333:{1,2,7}:{(280,1),(284,1),(382,1),(515,1)}
       334:{2,3,7}:{(280,1),(281,1),(285,1),(382,1),(383,1),(515,1)}
       335:{1,3,4,7}:{(281,1),(282,1),(286,1),(290,1),(374,1),(383,1),(384,1)}
       336:{1,4,5,7}:{(282,1),(283,1),(287,1),(291,1),(375,1),(384,1),(385,1),(462,1)}
       337:{1,5,6}:{(283,1),(292,1),(376,1),(385,1)}
       338:{1,3,6}:{(284,1),(285,1),(305,1),(382,1),(387,1)}
       339:{2,4,6}:{(285,1),(286,1),(306,1),(383,1),(387,1),(388,1),(463,1)}
       340:{1,3,5}:{(286,1),(287,1),(293,1),(379,1),(388,1)}
       341:{1,4,5,6}:{(287,1),(288,1),(294,1),(308,1),(380,1),(385,1),(389,1),(390,1),(465,1),(507,1),(532,1)}
       342:{1,5,7}:{(288,1),(289,1),(295,1),(381,1)}
       343:{3,5,7}:{(290,1),(291,1),(293,1),(391,1)}
       344:{2,4,6}:{(291,1),(292,1),(296,1),(385,1),(391,1),(463,1)}
       345:{2,5,6,7}:{(292,1),(295,1),(297,1),(386,1),(392,1),(548,1)}
       346:{3,5,6}:{(293,1),(294,1),(310,1),(391,1),(393,1),(537,1)}
       347:{2,4,5,7}:{(294,1),(295,1),(298,1),(311,1),(390,1),(392,1),(393,1),(466,1),(538,1),(548,1),(552,1)}
       348:{4,6,7}:{(296,1),(297,1),(298,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(505,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(388,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(389,1),(397,1),(400,1),(401,1),(451,1),(468,1),(507,1),(537,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(452,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(491,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(323,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(324,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(321,1),(326,1),(408,1),(409,1),(473,1)}
       366:{1,2,5}:{(319,1),(327,1),(410,1),(429,1),(488,1),(517,1)}
       367:{2,3,5}:{(319,1),(320,1),(328,1),(410,1),(411,1)}
       368:{3,4}:{(320,1),(411,1)}
       369:{4,5}:{(321,1),(413,1)}
       370:{3,5,6}:{(321,1),(322,1),(331,1),(413,1),(414,1)}
       371:{3,6,7}:{(322,1),(332,1),(414,1),(436,1)}
       372:{1,2,4,7}:{(323,1),(327,1),(333,1),(405,1),(415,1),(425,1),(476,1),(484,1)}
       373:{2,3,7}:{(323,1),(324,1),(328,1),(415,1)}
       374:{3,4,7}:{(324,1),(325,1),(329,1),(417,1),(436,1)}
       375:{2,4,5,7}:{(325,1),(326,1),(330,1),(336,1),(408,1),(417,1),(418,1),(426,1)}
       376:{2,5,6}:{(326,1),(337,1),(409,1),(418,1)}
       377:{1,3,6}:{(327,1),(328,1),(349,1),(410,1),(415,1),(420,1)}
       378:{2,3,4,6}:{(328,1),(329,1),(339,1),(350,1),(411,1),(416,1),(421,1),(422,1),(435,1),(472,1),(482,1),(486,1)}
       379:{3,5}:{(329,1),(330,1)}
       380:{2,4,5,6}:{(330,1),(331,1),(341,1),(352,1),(413,1),(418,1),(423,1),(424,1),(430,1),(474,1),(482,1),(518,1)}
       381:{2,5,7}:{(331,1),(332,1),(342,1),(414,1)}
       382:{1,3,7}:{(333,1),(334,1),(338,1),(425,1)}
       383:{2,4,7}:{(334,1),(335,1),(339,1),(425,1),(426,1)}
       384:{1,3,5,7}:{(335,1),(336,1),(340,1),(343,1),(417,1),(426,1),(427,1)}
       385:{1,4,6}:{(336,1),(337,1),(344,1),(418,1),(427,1),(491,1)}
       386:{1,5,6,7}:{(337,1),(342,1),(345,1),(419,1),(428,1),(542,1)}
       387:{1,4,6}:{(338,1),(339,1),(354,1),(425,1),(429,1),(491,1)}
       388:{2,5}:{(339,1),(340,1),(429,1)}
       389:{1,3,5,6}:{(340,1),(341,1),(346,1),(356,1),(423,1),(427,1),(430,1),(431,1)}
       390:{1,4,5,7}:{(341,1),(342,1),(347,1),(357,1),(424,1),(428,1),(431,1),(493,1),(526,1),(542,1)}
       391:{3,6}:{(343,1),(344,1)}
       392:{2,4,6,7}:{(344,1),(345,1),(347,1),(348,1),(428,1),(432,1),(492,1)}
       393:{3,5,7}:{(346,1),(347,1),(358,1),(432,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(524,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(429,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(430,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(431,1),(436,1),(438,1),(483,1),(495,1),(526,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(372,1),(439,1),(443,1),(462,1),(509,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(373,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(368,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(369,1),(442,1),(446,1),(452,1)}
       409:{3,5,6}:{(365,1),(376,1),(446,1),(456,1)}
       410:{1,3,5}:{(366,1),(367,1),(377,1),(448,1),(449,1)}
       411:{2,4}:{(367,1),(368,1),(449,1)}
       412:{3,4,5}:{(368,1),(369,1),(379,1),(450,1),(451,1)}
       413:{4,6}:{(369,1),(370,1),(452,1)}
       414:{3,5,7}:{(370,1),(371,1),(381,1),(452,1)}
       415:{1,3,7}:{(372,1),(373,1),(377,1),(453,1)}
       416:{2,3,4,7}:{(373,1),(374,1),(378,1),(383,1),(444,1),(454,1),(455,1),(469,1),(508,1)}
       417:{3,5,7}:{(374,1),(375,1),(379,1),(456,1)}
       418:{2,4,6}:{(375,1),(376,1),(385,1),(446,1),(456,1),(463,1)}
       419:{2,5,6,7}:{(376,1),(381,1),(386,1),(447,1),(457,1),(533,1)}
       420:{2,3,6}:{(377,1),(394,1),(448,1),(453,1),(458,1),(537,1)}
       421:{1,3,4,6}:{(377,1),(378,1),(387,1),(395,1),(449,1),(454,1),(458,1),(459,1),(468,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       422:{2,3,5}:{(378,1),(379,1),(388,1),(450,1),(459,1),(498,1)}
       423:{3,5,6}:{(379,1),(380,1),(397,1),(451,1),(456,1),(461,1)}
       424:{2,4,5,7}:{(380,1),(381,1),(390,1),(398,1),(452,1),(457,1),(461,1),(466,1),(500,1),(508,1),(533,1)}
       425:{1,4,7}:{(382,1),(383,1),(387,1),(462,1)}
       426:{2,5,7}:{(383,1),(384,1),(388,1),(462,1),(463,1)}
       427:{1,3,6}:{(384,1),(385,1),(391,1),(456,1),(463,1)}
       428:{1,4,6,7}:{(385,1),(386,1),(390,1),(392,1),(457,1),(464,1),(514,1)}
       429:{1,5}:{(387,1),(388,1)}
       430:{2,5,6}:{(388,1),(389,1),(400,1),(463,1),(465,1),(466,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(393,1),(401,1),(461,1),(464,1),(466,1)}
       432:{3,6,7}:{(391,1),(392,1),(393,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(537,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(491,1),(527,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(415,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(411,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(417,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(419,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(410,1),(420,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(410,1),(411,1),(480,1)}
       450:{2,4,5}:{(411,1),(412,1),(422,1),(481,1),(482,1)}
       451:{3,4,6}:{(412,1),(413,1),(423,1),(482,1),(483,1)}
       452:{4,7}:{(413,1),(414,1)}
       453:{2,3,7}:{(415,1),(420,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(415,1),(416,1),(421,1),(425,1),(476,1),(484,1),(485,1),(495,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(416,1),(417,1),(422,1),(426,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(417,1),(418,1)}
       457:{2,4,6,7}:{(418,1),(419,1),(424,1),(428,1),(479,1),(487,1),(492,1)}
       458:{2,4,6}:{(420,1),(421,1),(433,1),(480,1),(484,1),(488,1),(494,1),(527,1)}
       459:{1,3,5}:{(421,1),(422,1),(429,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(422,1),(423,1),(430,1),(435,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(423,1),(424,1),(436,1),(483,1),(487,1)}
       462:{1,5,7}:{(425,1),(426,1),(429,1),(491,1)}
       463:{2,6}:{(426,1),(427,1),(491,1)}
       464:{1,3,6,7}:{(427,1),(428,1),(431,1),(432,1),(487,1),(492,1)}
       465:{1,5,6}:{(429,1),(430,1),(437,1),(491,1),(493,1)}
       466:{2,5,7}:{(430,1),(431,1),(438,1),(492,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(515,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(462,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(463,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(465,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(466,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{1,6}:{(462,1),(463,1)}
       492:{2,6,7}:{(463,1),(464,1),(466,1),(514,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(514,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(491,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(492,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(494,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(493,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{1,6,7}:{(491,1),(492,1),(493,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(514,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(515,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 618 :   0:{3,4,5,7}:{(1,1),(2,1),(13,1),(67,1),(103,1),(197,1),(301,1),(376,1),(379,1)}
         1:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(42,1),(70,1),(150,1),(251,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(417,1),(420,1)}
         3:{2,3,4,7}:{(6,1),(10,1),(11,1),(70,1),(90,1),(150,1),(237,1),(332,1),(336,1)}
         4:{3,4,6,7}:{(2,1),(12,1),(13,1),(15,1),(50,1),(103,1)}
         5:{3,5,6,7}:{(13,1),(14,1),(15,1),(50,1),(375,1),(394,1)}
         6:{2,3,5,7}:{(1,1),(3,1),(16,1),(17,1),(24,1),(379,1),(383,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(18,1),(19,1),(46,1),(66,1),(102,1),(112,1),(202,1)}
         8:{2,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1)}
         9:{3,5,6}:{(2,1),(13,1),(20,1),(21,1),(301,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(22,1),(23,1),(56,1),(61,1),(102,1),(112,1),(186,1),(291,1),(384,1)}
        11:{2,3,4,6}:{(3,1),(17,1),(23,1),(24,1),(55,1),(126,1),(199,1),(209,1),(218,1),(227,1),(305,1),(309,1)}
        12:{2,4,6,7}:{(4,1),(8,1),(25,1),(26,1),(27,1),(70,1)}
        13:{3,5,7}:{(4,1),(9,1),(27,1),(28,1)}
        14:{2,5,6,7}:{(5,1),(27,1),(29,1),(30,1),(330,1),(347,1)}
        15:{4,6,7}:{(5,1),(28,1),(417,1),(433,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(10,1),(31,1),(32,1),(34,1),(41,1),(425,1)}
        17:{2,3,6}:{(6,1),(8,1),(32,1),(420,1),(424,1)}
        18:{2,4,5,7}:{(7,1),(31,1),(34,1),(35,1),(72,1),(80,1),(97,1),(140,1),(143,1),(157,1),(163,1)}
        19:{1,4,6}:{(7,1),(8,1),(32,1),(35,1),(36,1)}
        20:{2,5,6}:{(8,1),(9,1),(27,1),(36,1),(251,1)}
        21:{4,5,6}:{(9,1),(28,1),(351,1),(417,1)}
        22:{2,4,7}:{(10,1),(31,1),(39,1),(40,1),(342,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(32,1),(40,1),(41,1),(83,1),(86,1),(92,1),(153,1),(159,1),(172,1),(177,1),(262,1),(278,1),(359,1)}
        24:{2,3,5}:{(11,1),(41,1),(42,1),(251,1),(354,1),(358,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(43,1),(44,1),(50,1),(110,1)}
        26:{1,4,6,7}:{(12,1),(19,1),(43,1),(45,1),(46,1),(102,1)}
        27:{2,5,7}:{(12,1),(13,1),(20,1),(46,1)}
        28:{4,5,7}:{(13,1),(15,1),(21,1)}
        29:{1,5,6,7}:{(14,1),(46,1),(48,1),(49,1),(283,1),(298,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(47,1),(49,1),(50,1),(110,1),(378,1)}
        31:{2,5,7}:{(16,1),(22,1),(53,1),(65,1)}
        32:{1,3,6}:{(16,1),(17,1),(19,1),(53,1),(57,1),(461,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(24,1),(44,1),(54,1),(55,1),(60,1),(124,1),(209,1)}
        34:{3,5,7}:{(18,1),(56,1),(57,1),(121,1),(134,1),(186,1)}
        35:{2,4,6}:{(18,1),(19,1),(53,1),(57,1),(58,1),(122,1)}
        36:{1,5,6}:{(19,1),(20,1),(46,1),(58,1),(202,1)}
        37:{2,4,5,6}:{(20,1),(21,1),(47,1),(55,1),(59,1),(60,1),(124,1),(304,1),(317,1),(378,1),(393,1),(468,1)}
        38:{1,2,4,7}:{(22,1),(51,1),(61,1),(62,1),(112,1),(125,1),(384,1),(385,1)}
        39:{2,3,7}:{(22,1),(61,1),(64,1),(186,1)}
        40:{2,4,6}:{(22,1),(23,1),(53,1),(64,1),(65,1),(133,1),(315,1),(328,1)}
        41:{1,3,5}:{(23,1),(24,1),(65,1),(66,1),(121,1),(134,1),(202,1),(404,1)}
        42:{2,4,5}:{(24,1),(55,1),(66,1),(67,1),(218,1)}
        43:{1,3,6,7}:{(25,1),(26,1),(32,1),(68,1),(69,1),(71,1),(149,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(33,1),(69,1),(70,1),(74,1),(145,1),(237,1)}
        45:{2,4,6,7}:{(26,1),(35,1),(68,1),(71,1),(72,1),(140,1),(143,1)}
        46:{1,5,7}:{(26,1),(27,1),(36,1),(72,1)}
        47:{2,4,5,7}:{(27,1),(28,1),(30,1),(37,1),(70,1),(73,1),(74,1),(145,1),(345,1),(347,1),(433,1)}
        48:{2,5,6,7}:{(29,1),(72,1),(75,1),(76,1),(234,1),(245,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(73,1),(76,1),(77,1),(149,1),(334,1)}
        50:{3,6,7}:{(30,1),(74,1),(420,1)}
        51:{1,2,5,7}:{(31,1),(38,1),(78,1),(79,1),(93,1),(167,1),(425,1)}
        52:{2,3,5,7}:{(31,1),(34,1),(39,1),(78,1),(80,1),(81,1),(96,1),(157,1)}
        53:{2,6}:{(31,1),(32,1)}
        54:{1,3,5,6}:{(32,1),(33,1),(36,1),(41,1),(69,1),(82,1),(83,1),(87,1),(159,1),(166,1),(262,1)}
        55:{2,4,6}:{(33,1),(42,1),(70,1),(83,1),(84,1)}
        56:{3,4,7}:{(34,1),(80,1),(86,1),(143,1),(177,1)}
        57:{3,6}:{(34,1),(35,1)}
        58:{2,5,6}:{(35,1),(36,1),(72,1),(87,1),(157,1)}
        59:{1,4,5,6}:{(36,1),(37,1),(73,1),(83,1),(88,1),(89,1),(166,1),(255,1),(265,1),(334,1),(346,1)}
        60:{3,5,6}:{(37,1),(74,1),(84,1),(354,1),(365,1),(420,1)}
        61:{1,3,7}:{(38,1),(39,1),(90,1),(92,1)}
        62:{1,2,4,6}:{(38,1),(40,1),(79,1),(92,1),(93,1),(153,1),(168,1),(172,1),(359,1),(360,1),(373,1)}
        63:{2,3,4,7}:{(39,1),(80,1),(91,1),(94,1),(95,1),(236,1),(276,1),(336,1),(447,1)}
        64:{2,3,6}:{(39,1),(40,1),(92,1),(96,1),(159,1),(374,1)}
        65:{2,5}:{(40,1),(41,1)}
        66:{1,4,5}:{(41,1),(42,1),(83,1),(97,1),(163,1),(172,1)}
        67:{3,4,5}:{(42,1),(84,1),(270,1),(354,1),(496,1)}
        68:{2,6,7}:{(43,1),(53,1),(101,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(46,1),(54,1),(101,1),(102,1),(105,1),(186,1),(192,1),(291,1)}
        70:{2,4,7}:{(44,1),(55,1),(102,1),(103,1)}
        71:{3,6,7}:{(45,1),(57,1),(105,1),(186,1)}
        72:{2,5,7}:{(45,1),(46,1),(58,1),(105,1)}
        73:{1,4,5,7}:{(46,1),(47,1),(49,1),(59,1),(102,1),(106,1),(107,1),(192,1),(295,1),(298,1)}
        74:{3,5,7}:{(47,1),(50,1),(60,1),(103,1),(392,1)}
        75:{3,5,6,7}:{(48,1),(105,1),(108,1),(109,1),(188,1),(194,1)}
        76:{2,4,6,7}:{(48,1),(49,1),(106,1),(108,1),(109,1),(110,1),(288,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(107,1),(109,1),(110,1),(382,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(61,1),(111,1),(112,1),(113,1),(129,1),(202,1)}
        79:{1,2,6}:{(51,1),(53,1),(113,1),(216,1),(461,1)}
        80:{2,4,7}:{(52,1),(56,1),(112,1),(116,1),(133,1)}
        81:{2,3,6}:{(52,1),(53,1),(57,1),(113,1),(116,1)}
        82:{2,5,6}:{(53,1),(54,1),(65,1),(101,1),(118,1),(315,1)}
        83:{1,4,6}:{(54,1),(55,1),(66,1),(102,1),(118,1),(122,1)}
        84:{3,4,6}:{(55,1),(60,1),(67,1),(103,1),(468,1)}
        85:{3,4,5,7}:{(56,1),(115,1),(120,1),(121,1),(189,1),(211,1),(226,1),(289,1),(327,1)}
        86:{3,4,6}:{(56,1),(57,1),(116,1),(121,1),(122,1)}
        87:{3,5,6}:{(57,1),(58,1),(105,1),(121,1),(122,1)}
        88:{2,4,5,6}:{(58,1),(59,1),(106,1),(118,1),(122,1),(123,1),(124,1),(193,1),(207,1),(214,1),(288,1),(297,1)}
        89:{1,3,5,6}:{(59,1),(60,1),(107,1),(119,1),(123,1),(124,1),(308,1),(382,1)}
        90:{2,3,7}:{(61,1),(125,1),(126,1),(409,1)}
        91:{1,3,4,7}:{(61,1),(63,1),(112,1),(125,1),(127,1),(128,1),(197,1),(322,1),(384,1),(409,1),(479,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(126,1),(129,1),(415,1)}
        93:{1,2,5}:{(62,1),(65,1),(129,1),(202,1),(217,1),(404,1)}
        94:{2,3,5,7}:{(63,1),(115,1),(127,1),(131,1),(132,1),(289,1),(383,1)}
        95:{2,3,4,6}:{(63,1),(64,1),(116,1),(128,1),(131,1),(132,1),(133,1),(208,1),(225,1),(309,1),(321,1),(410,1)}
        96:{2,3,5}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        97:{2,4,5}:{(65,1),(66,1),(118,1),(133,1),(134,1)}
        98:{1,3,4,5}:{(66,1),(67,1),(119,1),(134,1),(135,1),(213,1),(222,1),(228,1),(308,1),(316,1),(408,1)}
        99:{1,2,6,7}:{(68,1),(79,1),(136,1),(137,1),(149,1),(247,1),(267,1),(424,1),(490,1),(491,1),(527,1)}
       100:{2,3,6,7}:{(68,1),(71,1),(81,1),(136,1),(138,1),(139,1),(339,1),(424,1),(527,1),(528,1),(545,1)}
       101:{2,5,7}:{(68,1),(69,1),(82,1),(140,1),(342,1)}
       102:{1,4,7}:{(69,1),(70,1),(83,1),(140,1),(143,1)}
       103:{3,4,7}:{(70,1),(74,1),(84,1),(433,1)}
       104:{3,4,6,7}:{(71,1),(86,1),(138,1),(142,1),(143,1),(236,1),(240,1),(339,1),(545,1),(546,1),(551,1)}
       105:{3,5,7}:{(71,1),(72,1),(87,1),(143,1)}
       106:{2,4,5,7}:{(72,1),(73,1),(76,1),(88,1),(140,1),(143,1),(144,1),(145,1),(146,1),(242,1),(245,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(77,1),(89,1),(141,1),(144,1),(145,1)}
       108:{4,6,7}:{(75,1),(143,1),(146,1),(240,1)}
       109:{3,6,7}:{(76,1),(144,1),(339,1)}
       110:{2,6,7}:{(77,1),(145,1),(149,1),(424,1)}
       111:{2,3,5,7}:{(78,1),(90,1),(150,1),(151,1),(167,1),(169,1),(248,1),(251,1)}
       112:{1,4,7}:{(78,1),(80,1),(150,1),(153,1),(172,1)}
       113:{1,3,6}:{(78,1),(79,1),(81,1),(151,1),(153,1)}
       114:{1,2,5,6}:{(79,1),(82,1),(93,1),(137,1),(154,1),(155,1),(166,1),(266,1),(268,1),(358,1),(360,1),(424,1),(442,1),(443,1),(491,1),(501,1)}
       115:{2,4,5,7}:{(80,1),(85,1),(94,1),(152,1),(156,1),(157,1),(176,1),(258,1),(276,1)}
       116:{2,4,6}:{(80,1),(81,1),(86,1),(153,1),(157,1)}
       117:{2,3,5,6}:{(81,1),(82,1),(87,1),(96,1),(139,1),(154,1),(157,1),(158,1),(159,1),(234,1),(257,1),(260,1),(339,1),(358,1),(424,1),(501,1),(502,1),(528,1),(533,1),(544,1),(547,1)}
       118:{2,4,6}:{(82,1),(83,1),(97,1),(140,1),(159,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(89,1),(98,1),(141,1),(159,1),(160,1),(164,1),(262,1),(265,1),(365,1)}
       120:{3,4,6}:{(85,1),(156,1),(162,1),(240,1),(339,1)}
       121:{3,5}:{(86,1),(157,1),(163,1)}
       122:{4,6}:{(87,1),(143,1),(163,1)}
       123:{3,5,6}:{(88,1),(144,1),(159,1),(164,1),(260,1),(339,1)}
       124:{2,5,6}:{(89,1),(145,1),(160,1),(166,1),(358,1),(424,1)}
       125:{2,4,7}:{(90,1),(91,1),(167,1),(168,1),(504,1)}
       126:{2,3,6}:{(90,1),(92,1),(168,1),(169,1),(367,1),(450,1)}
       127:{1,3,5,7}:{(91,1),(94,1),(152,1),(167,1),(170,1),(171,1),(248,1),(425,1)}
       128:{1,3,4,6}:{(91,1),(92,1),(95,1),(153,1),(168,1),(170,1),(171,1),(172,1),(249,1),(270,1),(272,1),(359,1),(367,1),(369,1),(448,1)}
       129:{1,3,5}:{(92,1),(93,1),(96,1),(169,1),(172,1)}
       130:{1,2,4,5}:{(93,1),(97,1),(155,1),(172,1),(173,1),(179,1),(255,1),(269,1),(274,1),(279,1),(358,1),(364,1),(372,1),(373,1),(443,1),(449,1),(499,1),(503,1)}
       131:{2,3,6}:{(94,1),(156,1),(170,1),(339,1),(424,1)}
       132:{2,3,5}:{(95,1),(157,1),(171,1),(176,1),(260,1),(358,1)}
       133:{2,4}:{(96,1),(172,1),(177,1)}
       134:{3,5}:{(97,1),(159,1),(177,1)}
       135:{2,4,5}:{(98,1),(160,1),(178,1),(179,1),(274,1),(279,1),(358,1)}
       136:{1,3,6,7}:{(99,1),(100,1),(113,1),(180,1),(181,1),(182,1),(382,1),(461,1),(513,1)}
       137:{1,2,5,7}:{(99,1),(101,1),(114,1),(182,1),(183,1),(192,1),(296,1),(318,1),(383,1),(385,1),(476,1),(520,1)}
       138:{2,4,6,7}:{(100,1),(104,1),(116,1),(181,1),(184,1),(185,1),(288,1),(540,1)}
       139:{2,3,5,7}:{(100,1),(101,1),(105,1),(117,1),(182,1),(184,1),(185,1),(186,1),(286,1),(289,1),(383,1),(520,1),(542,1),(548,1)}
       140:{2,4,7}:{(101,1),(102,1),(118,1),(186,1)}
       141:{1,3,4,7}:{(102,1),(103,1),(107,1),(119,1),(186,1),(187,1),(190,1),(291,1),(295,1),(392,1)}
       142:{3,5,7}:{(104,1),(121,1),(184,1),(188,1),(189,1),(550,1)}
       143:{4,7}:{(105,1),(122,1)}
       144:{3,5,7}:{(106,1),(109,1),(123,1),(186,1),(190,1)}
       145:{2,5,7}:{(107,1),(110,1),(124,1),(187,1),(192,1)}
       146:{4,5,7}:{(108,1),(193,1),(194,1)}
       147:{3,4,6,7}:{(108,1),(109,1),(190,1),(194,1),(195,1),(293,1)}
       148:{2,3,6,7}:{(109,1),(110,1),(191,1),(195,1),(196,1),(387,1)}
       149:{1,6,7}:{(110,1),(192,1),(461,1)}
       150:{2,4,7}:{(111,1),(112,1),(197,1),(199,1),(218,1)}
       151:{2,3,6}:{(111,1),(113,1),(199,1),(216,1),(300,1)}
       152:{1,4,5,7}:{(112,1),(115,1),(127,1),(198,1),(201,1),(202,1),(221,1),(306,1),(322,1)}
       153:{1,4,6}:{(112,1),(113,1),(116,1),(199,1),(202,1)}
       154:{1,3,5,6}:{(113,1),(114,1),(117,1),(129,1),(182,1),(200,1),(202,1),(203,1),(204,1),(283,1),(308,1),(310,1),(382,1),(404,1),(461,1),(477,1),(513,1),(541,1)}
       155:{1,2,4,6}:{(114,1),(118,1),(130,1),(183,1),(203,1),(204,1),(210,1),(309,1),(315,1),(317,1),(319,1),(414,1),(480,1),(518,1)}
       156:{2,4,6}:{(115,1),(120,1),(131,1),(201,1),(206,1)}
       157:{2,5}:{(116,1),(121,1),(202,1)}
       158:{2,4,6}:{(117,1),(122,1),(133,1),(185,1),(203,1),(207,1),(208,1),(521,1),(549,1)}
       159:{3,6}:{(118,1),(134,1),(186,1)}
       160:{2,4,6}:{(119,1),(124,1),(135,1),(187,1),(209,1),(210,1),(315,1)}
       161:{3,4,6,7}:{(120,1),(205,1),(211,1),(292,1),(327,1),(386,1)}
       162:{3,5,6}:{(120,1),(121,1),(206,1),(211,1),(212,1)}
       163:{4,5}:{(121,1),(122,1)}
       164:{3,4,6}:{(122,1),(123,1),(190,1),(213,1),(214,1)}
       165:{2,3,5,6}:{(123,1),(124,1),(191,1),(209,1),(214,1),(215,1),(297,1),(313,1),(387,1)}
       166:{1,5,6}:{(124,1),(192,1),(210,1),(404,1),(461,1)}
       167:{2,5,7}:{(125,1),(127,1),(216,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(128,1),(216,1),(217,1),(218,1),(412,1),(480,1)}
       169:{2,3,5}:{(126,1),(129,1),(217,1),(218,1),(320,1)}
       170:{1,3,6}:{(127,1),(131,1),(201,1),(216,1),(300,1),(461,1)}
       171:{1,3,5}:{(128,1),(132,1),(202,1),(217,1),(221,1),(301,1),(320,1),(404,1)}
       172:{1,4}:{(129,1),(133,1),(218,1)}
       173:{1,3,5}:{(130,1),(134,1),(204,1),(222,1),(223,1),(320,1),(408,1),(415,1),(519,1)}
       174:{2,3,6,7}:{(131,1),(205,1),(219,1),(224,1),(386,1),(460,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(206,1),(220,1),(224,1),(225,1),(312,1),(403,1),(410,1)}
       176:{2,4,5}:{(132,1),(133,1),(221,1),(225,1),(226,1)}
       177:{3,4}:{(133,1),(134,1)}
       178:{2,3,5}:{(134,1),(135,1),(209,1),(227,1),(228,1),(408,1)}
       179:{1,4,5}:{(135,1),(210,1),(228,1),(325,1),(404,1)}
       180:{2,3,6,7}:{(136,1),(151,1),(229,1),(230,1),(247,1),(267,1),(348,1),(349,1),(420,1),(424,1),(493,1)}
       181:{1,4,6,7}:{(136,1),(138,1),(153,1),(229,1),(231,1),(232,1),(334,1),(530,1)}
       182:{1,3,5,7}:{(136,1),(137,1),(139,1),(154,1),(230,1),(231,1),(232,1),(233,1),(337,1),(425,1)}
       183:{1,2,4,7}:{(137,1),(140,1),(155,1),(232,1),(233,1),(238,1),(336,1),(342,1),(345,1),(366,1),(451,1),(504,1),(532,1)}
       184:{2,5,7}:{(138,1),(142,1),(157,1),(231,1),(234,1),(547,1)}
       185:{2,4,7}:{(139,1),(143,1),(158,1),(232,1),(236,1),(551,1)}
       186:{3,7}:{(140,1),(159,1)}
       187:{2,4,7}:{(141,1),(145,1),(160,1),(237,1),(238,1),(342,1)}
       188:{3,5,6}:{(142,1),(234,1),(240,1),(339,1)}
       189:{4,5,7}:{(142,1),(143,1),(163,1),(240,1),(551,1),(552,1)}
       190:{3,4,7}:{(143,1),(144,1),(164,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(148,1),(165,1),(237,1),(242,1),(243,1),(245,1)}
       192:{1,5,7}:{(145,1),(149,1),(166,1),(238,1)}
       193:{4,5,6}:{(146,1),(240,1),(244,1),(552,1)}
       194:{3,5,7}:{(146,1),(147,1),(244,1),(245,1)}
       195:{2,4,6,7}:{(147,1),(148,1),(242,1),(245,1),(246,1),(343,1)}
       196:{1,3,6,7}:{(148,1),(149,1),(243,1),(246,1),(247,1),(348,1),(427,1)}
       197:{3,4,7}:{(150,1),(248,1),(249,1),(270,1),(434,1)}
       198:{2,4,5,7}:{(150,1),(152,1),(167,1),(248,1),(250,1),(251,1),(269,1),(351,1),(352,1),(366,1),(434,1)}
       199:{2,4,6}:{(150,1),(151,1),(153,1),(249,1),(251,1)}
       200:{2,3,5,6}:{(151,1),(154,1),(169,1),(230,1),(251,1),(252,1),(257,1),(266,1),(268,1),(330,1),(350,1),(354,1),(358,1),(365,1),(367,1),(420,1),(424,1),(432,1),(445,1),(493,1),(531,1)}
       201:{1,4,6}:{(152,1),(156,1),(170,1),(250,1),(254,1)}
       202:{1,5}:{(153,1),(157,1),(251,1)}
       203:{1,4,6}:{(154,1),(158,1),(172,1),(232,1),(252,1),(255,1),(503,1)}
       204:{1,3,6}:{(155,1),(159,1),(173,1),(233,1),(257,1),(365,1),(367,1),(533,1)}
       205:{2,4,6,7}:{(156,1),(161,1),(174,1),(253,1),(258,1),(276,1)}
       206:{2,5,6}:{(156,1),(157,1),(162,1),(254,1),(258,1)}
       207:{2,4,5}:{(157,1),(158,1),(163,1),(255,1),(260,1),(358,1),(547,1),(552,1)}
       208:{3,4,6}:{(158,1),(159,1),(177,1),(236,1),(260,1),(339,1),(533,1),(534,1)}
       209:{2,3,6}:{(159,1),(160,1),(178,1),(237,1),(262,1),(365,1)}
       210:{1,4,6}:{(160,1),(166,1),(179,1),(238,1),(262,1)}
       211:{3,5,7}:{(161,1),(162,1),(258,1),(263,1)}
       212:{4,5,6}:{(162,1),(163,1),(240,1),(263,1)}
       213:{3,4,5}:{(163,1),(164,1),(260,1),(264,1),(534,1)}
       214:{2,4,6}:{(164,1),(165,1),(242,1),(264,1),(265,1)}
       215:{1,3,5,6}:{(165,1),(166,1),(243,1),(262,1),(265,1),(266,1),(346,1),(362,1),(365,1),(427,1),(432,1)}
       216:{2,6}:{(167,1),(170,1)}
       217:{2,5}:{(168,1),(171,1)}
       218:{2,4}:{(169,1),(172,1),(270,1)}
       219:{1,3,6,7}:{(170,1),(174,1),(253,1),(267,1),(271,1),(349,1),(490,1)}
       220:{1,3,5,6}:{(170,1),(171,1),(175,1),(254,1),(268,1),(271,1),(272,1),(350,1),(367,1),(442,1),(448,1)}
       221:{1,4,5}:{(171,1),(172,1),(176,1),(269,1),(272,1),(351,1)}
       222:{1,3,4}:{(172,1),(173,1),(177,1),(270,1),(274,1),(446,1),(503,1),(534,1)}
       223:{2,3,5}:{(173,1),(257,1),(274,1),(275,1),(279,1),(358,1),(374,1),(449,1),(450,1)}
       224:{2,3,5,7}:{(174,1),(175,1),(258,1),(271,1),(276,1),(361,1),(441,1),(447,1)}
       225:{2,4,6}:{(175,1),(176,1),(272,1),(276,1),(277,1)}
       226:{3,4,5}:{(176,1),(177,1),(260,1),(277,1),(552,1)}
       227:{2,3,4}:{(177,1),(178,1),(274,1),(278,1),(446,1),(450,1)}
       228:{1,3,5}:{(178,1),(179,1),(262,1),(278,1),(279,1)}
       229:{2,4,6,7}:{(180,1),(181,1),(199,1),(280,1),(281,1),(282,1),(378,1),(515,1)}
       230:{2,3,5,7}:{(180,1),(182,1),(200,1),(281,1),(282,1),(286,1),(296,1),(318,1),(379,1),(383,1),(392,1),(394,1),(395,1),(409,1)}
       231:{1,5,7}:{(181,1),(184,1),(202,1),(281,1),(283,1),(541,1)}
       232:{1,4,7}:{(182,1),(185,1),(203,1),(282,1)}
       233:{1,3,7}:{(183,1),(186,1),(204,1),(286,1),(392,1),(409,1),(542,1)}
       234:{2,5,6}:{(184,1),(188,1),(283,1),(288,1)}
       235:{2,4,5,7}:{(184,1),(185,1),(189,1),(207,1),(284,1),(288,1),(289,1),(383,1)}
       236:{3,4,7}:{(185,1),(186,1),(208,1),(289,1),(542,1)}
       237:{2,3,7}:{(186,1),(187,1),(209,1),(291,1),(392,1)}
       238:{1,4,7}:{(187,1),(192,1),(210,1),(291,1)}
       239:{3,5,6,7}:{(188,1),(211,1),(287,1),(292,1),(386,1),(548,1)}
       240:{4,6}:{(188,1),(189,1)}
       241:{3,4,5,7}:{(189,1),(190,1),(194,1),(213,1),(289,1),(293,1),(294,1),(539,1),(550,1)}
       242:{2,4,7}:{(190,1),(191,1),(214,1),(295,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(196,1),(215,1),(291,1),(295,1),(296,1),(298,1),(392,1),(394,1)}
       244:{3,5,6}:{(193,1),(194,1),(293,1),(297,1),(550,1)}
       245:{2,5,7}:{(194,1),(195,1),(297,1),(298,1)}
       246:{1,4,6,7}:{(195,1),(196,1),(295,1),(298,1),(299,1),(390,1)}
       247:{2,6,7}:{(196,1),(296,1),(464,1)}
       248:{3,5,7}:{(197,1),(198,1),(300,1),(301,1),(320,1),(409,1)}
       249:{3,4,6}:{(197,1),(199,1),(300,1),(301,1),(396,1)}
       250:{2,4,6}:{(198,1),(201,1),(216,1),(300,1),(303,1),(396,1)}
       251:{2,5}:{(199,1),(202,1),(301,1)}
       252:{2,4,6}:{(200,1),(203,1),(218,1),(282,1),(304,1),(305,1),(396,1),(468,1),(478,1)}
       253:{1,4,6,7}:{(201,1),(205,1),(219,1),(302,1),(306,1),(322,1)}
       254:{1,5,6}:{(201,1),(202,1),(206,1),(303,1),(306,1)}
       255:{1,4,5}:{(202,1),(203,1),(207,1),(304,1),(308,1),(404,1),(541,1)}
       256:{1,3,4,6}:{(203,1),(204,1),(208,1),(222,1),(285,1),(305,1),(308,1),(309,1),(382,1)}
       257:{2,3,6}:{(204,1),(223,1),(286,1),(309,1),(310,1),(315,1),(480,1)}
       258:{2,5,7}:{(205,1),(206,1),(211,1),(306,1)}
       259:{2,4,5,6}:{(206,1),(207,1),(212,1),(225,1),(288,1),(307,1),(311,1),(312,1),(403,1),(518,1),(536,1),(549,1)}
       260:{3,5}:{(207,1),(208,1)}
       261:{2,3,4,6}:{(208,1),(209,1),(214,1),(227,1),(290,1),(309,1),(313,1),(314,1),(387,1),(475,1),(521,1),(540,1)}
       262:{1,3,6}:{(209,1),(210,1),(228,1),(291,1),(315,1)}
       263:{4,5,7}:{(211,1),(212,1),(292,1)}
       264:{2,4,5}:{(213,1),(214,1),(313,1),(316,1),(521,1)}
       265:{1,4,6}:{(214,1),(215,1),(295,1),(316,1),(317,1),(468,1)}
       266:{2,5,6}:{(215,1),(296,1),(315,1),(317,1),(406,1),(464,1)}
       267:{2,6,7}:{(216,1),(219,1),(318,1)}
       268:{2,5,6}:{(216,1),(217,1),(220,1),(318,1),(319,1),(480,1)}
       269:{2,4,5}:{(217,1),(218,1),(221,1),(319,1),(320,1)}
       270:{3,4}:{(218,1),(320,1)}
       271:{1,3,5,7}:{(219,1),(220,1),(224,1),(306,1),(318,1),(322,1),(395,1),(409,1),(476,1),(479,1)}
       272:{1,4,6}:{(220,1),(221,1),(225,1),(319,1),(322,1),(396,1)}
       273:{1,3,4,5}:{(221,1),(222,1),(226,1),(308,1),(320,1),(323,1),(324,1),(397,1),(411,1),(471,1),(519,1)}
       274:{2,4}:{(222,1),(223,1),(325,1)}
       275:{1,3,5}:{(223,1),(310,1),(325,1),(326,1),(404,1),(415,1)}
       276:{2,4,7}:{(224,1),(225,1),(322,1),(327,1)}
       277:{3,4,6}:{(225,1),(226,1),(312,1),(327,1),(549,1)}
       278:{1,3,4}:{(227,1),(228,1),(325,1),(328,1),(415,1)}
       279:{2,5}:{(228,1),(315,1),(328,1)}
       280:{3,4,6,7}:{(229,1),(249,1),(329,1),(332,1),(348,1),(349,1),(417,1),(420,1),(433,1),(434,1),(495,1)}
       281:{2,5,7}:{(229,1),(231,1),(251,1),(329,1),(330,1),(531,1)}
       282:{2,4,7}:{(230,1),(232,1),(252,1),(332,1),(433,1),(434,1)}
       283:{1,5,6}:{(231,1),(234,1),(330,1),(334,1)}
       284:{1,4,5,7}:{(231,1),(232,1),(235,1),(255,1),(331,1),(334,1),(335,1),(425,1)}
       285:{1,3,4,7}:{(232,1),(233,1),(236,1),(256,1),(332,1),(335,1),(336,1)}
       286:{2,3,7}:{(233,1),(257,1),(336,1),(337,1),(342,1),(504,1)}
       287:{2,5,6,7}:{(234,1),(239,1),(258,1),(333,1),(338,1),(543,1)}
       288:{2,4,6}:{(234,1),(235,1),(240,1),(334,1),(339,1),(424,1)}
       289:{3,5,7}:{(235,1),(236,1),(260,1),(339,1)}
       290:{2,3,4,7}:{(236,1),(237,1),(242,1),(261,1),(336,1),(340,1),(341,1),(489,1),(529,1)}
       291:{1,3,7}:{(237,1),(238,1),(262,1),(342,1)}
       292:{4,6,7}:{(239,1),(240,1),(263,1),(551,1)}
       293:{3,4,6}:{(240,1),(241,1),(244,1),(339,1),(343,1)}
       294:{2,4,5,7}:{(241,1),(242,1),(245,1),(264,1),(340,1),(343,1),(344,1),(529,1),(547,1)}
       295:{1,4,7}:{(242,1),(243,1),(265,1),(345,1),(433,1)}
       296:{2,5,7}:{(243,1),(247,1),(266,1),(342,1),(345,1)}
       297:{2,5,6}:{(244,1),(245,1),(343,1),(346,1),(547,1)}
       298:{1,5,7}:{(245,1),(246,1),(346,1),(347,1)}
       299:{2,4,6,7}:{(246,1),(247,1),(345,1),(347,1),(348,1),(430,1),(433,1)}
       300:{3,6}:{(248,1),(250,1)}
       301:{3,5}:{(249,1),(251,1),(351,1)}
       302:{2,4,6,7}:{(250,1),(253,1),(267,1),(349,1),(352,1),(366,1),(434,1)}
       303:{2,5,6}:{(250,1),(251,1),(254,1),(350,1),(352,1)}
       304:{2,4,5}:{(251,1),(252,1),(255,1),(351,1),(354,1),(358,1),(496,1),(531,1)}
       305:{3,4,6}:{(252,1),(270,1),(332,1),(354,1),(365,1),(367,1),(420,1),(446,1)}
       306:{1,5,7}:{(253,1),(254,1),(258,1),(352,1)}
       307:{1,4,5,6}:{(254,1),(255,1),(259,1),(272,1),(334,1),(353,1),(356,1),(357,1),(442,1),(498,1),(523,1)}
       308:{1,3,5}:{(255,1),(256,1),(260,1),(354,1),(358,1)}
       309:{2,4,6}:{(256,1),(257,1),(274,1),(336,1),(358,1),(359,1),(424,1)}
       310:{1,3,6}:{(257,1),(275,1),(337,1),(359,1),(360,1)}
       311:{2,4,5,7}:{(258,1),(259,1),(263,1),(276,1),(338,1),(356,1),(361,1),(441,1),(532,1),(543,1),(551,1)}
       312:{3,5,6}:{(259,1),(260,1),(277,1),(339,1),(361,1),(533,1)}
       313:{2,3,5}:{(260,1),(261,1),(264,1),(358,1),(362,1),(547,1)}
       314:{1,3,4,6}:{(261,1),(262,1),(265,1),(278,1),(341,1),(359,1),(362,1),(363,1),(365,1),(427,1),(444,1),(446,1),(495,1),(503,1),(530,1)}
       315:{2,6}:{(262,1),(279,1),(342,1)}
       316:{1,4,5}:{(264,1),(265,1),(362,1),(364,1),(496,1),(503,1)}
       317:{2,4,6}:{(265,1),(266,1),(345,1),(364,1),(365,1)}
       318:{2,5,7}:{(267,1),(268,1),(271,1),(366,1),(504,1)}
       319:{2,4,6}:{(268,1),(269,1),(272,1),(366,1),(367,1)}
       320:{3,5}:{(269,1),(270,1),(367,1)}
       321:{2,3,4}:{(270,1),(274,1),(368,1),(369,1),(374,1),(534,1)}
       322:{1,4,7}:{(271,1),(272,1),(276,1),(366,1),(434,1)}
       323:{1,3,4,6}:{(272,1),(273,1),(277,1),(357,1),(367,1),(370,1),(371,1),(435,1),(448,1),(498,1),(533,1)}
       324:{2,4,5}:{(273,1),(274,1),(358,1),(368,1),(371,1),(372,1),(449,1)}
       325:{1,4}:{(274,1),(275,1)}
       326:{1,2,5}:{(275,1),(279,1),(360,1),(373,1),(449,1)}
       327:{3,4,7}:{(276,1),(277,1),(361,1),(551,1)}
       328:{2,4}:{(278,1),(279,1),(374,1)}
       329:{3,5,7}:{(280,1),(281,1),(301,1),(375,1),(376,1),(516,1)}
       330:{2,5,6}:{(281,1),(283,1),(375,1),(378,1)}
       331:{2,4,5,7}:{(281,1),(282,1),(284,1),(304,1),(376,1),(378,1),(379,1),(383,1)}
       332:{3,4,7}:{(282,1),(305,1),(379,1),(392,1),(409,1)}
       333:{1,5,6,7}:{(283,1),(287,1),(306,1),(377,1),(381,1),(535,1)}
       334:{1,4,6}:{(283,1),(284,1),(288,1),(378,1),(382,1),(461,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(289,1),(308,1),(379,1),(382,1),(383,1)}
       336:{2,4,7}:{(285,1),(286,1),(309,1),(383,1),(384,1)}
       337:{1,3,7}:{(286,1),(310,1),(384,1),(385,1)}
       338:{2,4,6,7}:{(287,1),(288,1),(292,1),(311,1),(381,1),(386,1),(460,1)}
       339:{3,6}:{(288,1),(289,1)}
       340:{2,3,5,7}:{(289,1),(290,1),(294,1),(313,1),(383,1),(387,1),(388,1)}
       341:{1,3,4,7}:{(290,1),(291,1),(295,1),(314,1),(384,1),(388,1),(389,1),(392,1),(463,1),(467,1),(514,1)}
       342:{2,7}:{(291,1),(315,1)}
       343:{2,4,6}:{(293,1),(294,1),(297,1),(387,1),(390,1)}
       344:{1,4,5,7}:{(294,1),(295,1),(298,1),(316,1),(388,1),(390,1),(391,1),(514,1),(541,1)}
       345:{2,4,7}:{(295,1),(296,1),(317,1),(392,1)}
       346:{1,5,6}:{(297,1),(298,1),(390,1),(393,1),(541,1)}
       347:{2,5,7}:{(298,1),(299,1),(393,1),(394,1)}
       348:{3,6,7}:{(299,1),(392,1),(394,1),(466,1)}
       349:{3,6,7}:{(300,1),(302,1),(395,1),(409,1)}
       350:{3,5,6}:{(300,1),(301,1),(303,1),(395,1),(396,1)}
       351:{4,5}:{(301,1),(396,1)}
       352:{2,5,7}:{(302,1),(303,1),(306,1),(395,1)}
       353:{2,4,5,6}:{(303,1),(304,1),(307,1),(319,1),(378,1),(396,1),(398,1),(399,1),(403,1),(452,1),(470,1),(506,1)}
       354:{3,5}:{(304,1),(305,1)}
       355:{2,3,4,6}:{(305,1),(309,1),(321,1),(380,1),(400,1),(401,1),(407,1),(410,1),(457,1),(470,1),(478,1),(515,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(311,1),(322,1),(381,1),(398,1),(402,1),(476,1),(517,1),(535,1)}
       357:{1,3,5,6}:{(307,1),(308,1),(312,1),(323,1),(382,1),(399,1),(402,1),(403,1)}
       358:{2,5}:{(308,1),(309,1),(404,1)}
       359:{1,4,6}:{(309,1),(310,1),(325,1),(384,1),(404,1),(461,1)}
       360:{1,2,6}:{(310,1),(315,1),(326,1),(385,1),(480,1)}
       361:{3,5,7}:{(311,1),(312,1),(327,1),(386,1),(542,1)}
       362:{1,3,5}:{(313,1),(314,1),(316,1),(404,1),(406,1),(408,1),(516,1),(541,1)}
       363:{2,4,6}:{(314,1),(315,1),(328,1),(389,1),(406,1),(407,1),(464,1),(478,1)}
       364:{2,4,5}:{(316,1),(317,1),(406,1),(408,1),(478,1)}
       365:{3,6}:{(317,1),(392,1),(408,1)}
       366:{2,4,7}:{(318,1),(319,1),(322,1),(409,1)}
       367:{3,6}:{(319,1),(320,1),(409,1)}
       368:{2,3,5}:{(320,1),(321,1),(324,1),(410,1),(411,1),(519,1)}
       369:{1,3,4}:{(321,1),(325,1),(411,1),(412,1),(415,1)}
       370:{1,3,4,7}:{(322,1),(323,1),(327,1),(402,1),(409,1),(413,1),(469,1),(479,1),(517,1),(542,1)}
       371:{2,4,6}:{(323,1),(324,1),(403,1),(410,1),(413,1),(414,1),(480,1)}
       372:{1,4,5}:{(324,1),(325,1),(404,1),(411,1),(414,1)}
       373:{1,2,4}:{(325,1),(326,1),(328,1),(412,1),(415,1)}
       374:{2,3}:{(328,1),(415,1)}
       375:{3,5,6}:{(329,1),(330,1),(417,1),(420,1)}
       376:{4,5,7}:{(329,1),(351,1),(417,1),(433,1),(434,1),(496,1)}
       377:{2,5,6,7}:{(330,1),(333,1),(352,1),(416,1),(419,1),(522,1)}
       378:{2,4,6}:{(330,1),(331,1),(334,1),(417,1),(420,1),(424,1)}
       379:{3,5,7}:{(331,1),(332,1),(354,1),(420,1)}
       380:{2,3,4,7}:{(332,1),(336,1),(355,1),(421,1),(422,1),(429,1),(447,1),(494,1),(497,1)}
       381:{1,4,6,7}:{(333,1),(334,1),(338,1),(356,1),(419,1),(423,1),(490,1)}
       382:{1,3,6}:{(334,1),(335,1),(339,1),(420,1),(424,1)}
       383:{2,5,7}:{(335,1),(336,1),(358,1),(424,1),(425,1)}
       384:{1,4,7}:{(336,1),(337,1),(359,1),(425,1)}
       385:{1,2,7}:{(337,1),(342,1),(360,1),(504,1)}
       386:{3,6,7}:{(338,1),(339,1),(361,1)}
       387:{2,3,6}:{(339,1),(340,1),(343,1),(424,1),(427,1)}
       388:{1,3,5,7}:{(340,1),(341,1),(344,1),(362,1),(425,1),(427,1),(428,1),(431,1)}
       389:{2,4,7}:{(341,1),(342,1),(363,1),(428,1),(429,1)}
       390:{1,4,6}:{(343,1),(344,1),(346,1),(427,1),(430,1)}
       391:{2,4,5,7}:{(344,1),(345,1),(347,1),(364,1),(428,1),(430,1),(431,1),(433,1),(494,1),(496,1),(531,1)}
       392:{3,7}:{(345,1),(365,1)}
       393:{2,5,6}:{(346,1),(347,1),(430,1),(432,1),(531,1)}
       394:{3,5,7}:{(347,1),(348,1),(432,1),(433,1)}
       395:{3,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{4,6}:{(350,1),(351,1),(434,1)}
       397:{3,4,5}:{(351,1),(354,1),(435,1),(436,1),(446,1)}
       398:{2,4,5,7}:{(352,1),(353,1),(356,1),(366,1),(419,1),(434,1),(437,1),(441,1),(481,1),(497,1),(522,1)}
       399:{3,5,6}:{(353,1),(354,1),(367,1),(420,1),(435,1),(437,1)}
       400:{2,3,5}:{(354,1),(355,1),(358,1),(436,1),(439,1),(531,1)}
       401:{1,3,4,6}:{(355,1),(359,1),(369,1),(422,1),(439,1),(440,1),(444,1),(448,1),(487,1),(498,1),(503,1),(530,1),(533,1),(534,1),(546,1)}
       402:{1,3,5,7}:{(356,1),(357,1),(361,1),(370,1),(423,1),(437,1),(441,1)}
       403:{2,5,6}:{(357,1),(358,1),(371,1),(424,1),(441,1),(442,1)}
       404:{1,5}:{(358,1),(359,1)}
       405:{1,2,4,6}:{(359,1),(360,1),(363,1),(373,1),(426,1),(440,1),(443,1),(444,1),(491,1),(503,1),(530,1)}
       406:{2,5}:{(362,1),(363,1)}
       407:{2,3,6}:{(363,1),(365,1),(374,1),(429,1),(444,1),(445,1)}
       408:{3,5}:{(364,1),(365,1),(446,1)}
       409:{3,7}:{(366,1),(367,1)}
       410:{2,3,6}:{(367,1),(368,1),(371,1),(447,1),(448,1),(533,1)}
       411:{1,3,5}:{(368,1),(369,1),(372,1),(448,1),(449,1)}
       412:{2,4}:{(369,1),(449,1),(450,1)}
       413:{2,4,7}:{(370,1),(371,1),(441,1),(447,1),(451,1),(504,1)}
       414:{1,4,6}:{(371,1),(372,1),(442,1),(448,1),(451,1)}
       415:{1,3}:{(373,1),(374,1),(450,1)}
       416:{3,5,6,7}:{(375,1),(377,1),(395,1),(453,1),(456,1),(505,1)}
       417:{4,6}:{(375,1),(376,1)}
       418:{3,4,5,7}:{(376,1),(379,1),(397,1),(454,1),(455,1),(467,1),(469,1),(505,1),(516,1)}
       419:{2,4,6,7}:{(377,1),(378,1),(381,1),(398,1),(453,1),(456,1),(460,1)}
       420:{3,6}:{(378,1),(379,1)}
       421:{2,3,5,7}:{(379,1),(380,1),(383,1),(400,1),(455,1),(457,1),(458,1)}
       422:{1,3,4,7}:{(380,1),(384,1),(401,1),(458,1),(459,1),(463,1),(479,1),(514,1),(517,1),(539,1),(542,1)}
       423:{1,3,6,7}:{(381,1),(382,1),(386,1),(402,1),(456,1),(460,1)}
       424:{2,6}:{(382,1),(383,1),(461,1)}
       425:{1,5,7}:{(383,1),(384,1),(404,1),(461,1)}
       426:{1,2,4,7}:{(384,1),(385,1),(389,1),(405,1),(459,1),(462,1),(463,1),(514,1)}
       427:{1,3,6}:{(387,1),(388,1),(390,1),(461,1),(464,1),(466,1)}
       428:{2,5,7}:{(388,1),(389,1),(406,1),(464,1)}
       429:{2,3,7}:{(389,1),(392,1),(407,1),(463,1)}
       430:{2,4,6}:{(390,1),(391,1),(393,1),(464,1),(466,1),(468,1)}
       431:{3,5,7}:{(391,1),(392,1),(408,1),(466,1),(467,1),(516,1)}
       432:{3,5,6}:{(393,1),(394,1),(466,1),(468,1),(516,1)}
       433:{4,7}:{(394,1),(468,1)}
       434:{4,7}:{(395,1),(396,1)}
       435:{3,4,6}:{(396,1),(397,1),(399,1),(469,1),(470,1)}
       436:{2,4,5}:{(397,1),(400,1),(470,1),(471,1),(478,1)}
       437:{3,5,7}:{(398,1),(399,1),(409,1),(456,1),(469,1)}
       438:{2,3,5,6}:{(399,1),(400,1),(403,1),(410,1),(457,1),(470,1),(472,1),(473,1),(506,1)}
       439:{1,3,5}:{(400,1),(401,1),(404,1),(471,1),(474,1),(519,1),(541,1),(550,1)}
       440:{2,4,6}:{(401,1),(412,1),(459,1),(474,1),(475,1),(480,1),(511,1),(521,1)}
       441:{2,5,7}:{(402,1),(403,1),(413,1),(460,1),(476,1)}
       442:{1,5,6}:{(403,1),(404,1),(414,1),(461,1),(476,1)}
       443:{1,2,5}:{(404,1),(405,1),(406,1),(474,1),(477,1),(541,1)}
       444:{1,3,6}:{(405,1),(407,1),(415,1),(463,1),(475,1),(477,1)}
       445:{2,3,5}:{(406,1),(407,1),(408,1),(477,1),(478,1)}
       446:{3,4}:{(408,1),(478,1)}
       447:{2,3,7}:{(409,1),(410,1),(413,1),(479,1),(542,1)}
       448:{1,3,6}:{(410,1),(411,1),(414,1),(479,1),(480,1)}
       449:{2,5}:{(411,1),(412,1),(480,1)}
       450:{2,3}:{(412,1),(415,1)}
       451:{1,4,7}:{(413,1),(414,1),(476,1),(479,1)}
       452:{4,5,6}:{(417,1),(481,1),(482,1),(496,1)}
       453:{4,6,7}:{(416,1),(417,1),(434,1),(481,1)}
       454:{3,4,6}:{(417,1),(418,1),(420,1),(482,1),(484,1)}
       455:{2,4,5,7}:{(418,1),(421,1),(436,1),(484,1),(485,1),(494,1),(497,1),(522,1),(531,1)}
       456:{3,6,7}:{(419,1),(420,1),(437,1)}
       457:{2,3,6}:{(420,1),(421,1),(424,1),(484,1),(487,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(425,1),(439,1),(485,1),(487,1),(488,1),(526,1)}
       459:{2,4,7}:{(422,1),(440,1),(488,1),(489,1),(504,1)}
       460:{2,6,7}:{(423,1),(424,1),(441,1),(490,1)}
       461:{1,6}:{(424,1),(425,1)}
       462:{1,2,5,7}:{(425,1),(426,1),(428,1),(443,1),(488,1),(491,1),(492,1)}
       463:{1,3,7}:{(426,1),(429,1),(444,1),(489,1)}
       464:{2,6}:{(427,1),(428,1)}
       465:{2,3,5,7}:{(428,1),(429,1),(431,1),(445,1),(492,1),(493,1),(494,1),(531,1)}
       466:{3,6}:{(430,1),(431,1)}
       467:{3,4,7}:{(431,1),(433,1),(446,1),(494,1),(495,1)}
       468:{4,6}:{(432,1),(433,1),(496,1)}
       469:{3,4,7}:{(434,1),(435,1),(437,1),(497,1)}
       470:{2,4,6}:{(435,1),(436,1),(438,1),(497,1),(498,1)}
       471:{1,4,5}:{(436,1),(439,1),(498,1),(499,1),(503,1),(552,1)}
       472:{2,3,5,7}:{(437,1),(438,1),(441,1),(447,1),(486,1),(497,1),(500,1),(522,1)}
       473:{1,3,5,6}:{(438,1),(439,1),(442,1),(448,1),(487,1),(498,1),(500,1),(501,1),(523,1),(533,1),(544,1)}
       474:{2,5}:{(439,1),(440,1)}
       475:{2,3,6}:{(440,1),(444,1),(450,1),(489,1),(502,1),(533,1)}
       476:{1,5,7}:{(441,1),(442,1),(451,1),(490,1)}
       477:{1,3,5}:{(443,1),(444,1),(445,1),(502,1),(503,1)}
       478:{2,4}:{(445,1),(446,1),(503,1)}
       479:{1,3,7}:{(447,1),(448,1),(451,1),(504,1)}
       480:{2,6}:{(448,1),(449,1),(504,1)}
       481:{4,5,7}:{(452,1),(453,1),(505,1)}
       482:{3,5,6}:{(452,1),(454,1),(505,1),(506,1),(516,1)}
       483:{3,4,6,7}:{(453,1),(454,1),(456,1),(469,1),(505,1),(507,1)}
       484:{2,4,6}:{(454,1),(455,1),(457,1),(506,1),(508,1)}
       485:{1,4,5,7}:{(455,1),(458,1),(471,1),(508,1),(509,1),(514,1),(517,1),(535,1),(541,1)}
       486:{2,3,6,7}:{(456,1),(457,1),(460,1),(472,1),(507,1),(510,1)}
       487:{1,3,6}:{(457,1),(458,1),(461,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(458,1),(459,1),(474,1),(511,1)}
       489:{2,3,7}:{(459,1),(463,1),(475,1),(542,1)}
       490:{1,6,7}:{(460,1),(461,1),(476,1)}
       491:{1,2,6}:{(461,1),(462,1),(464,1),(511,1),(513,1)}
       492:{1,3,5,7}:{(462,1),(463,1),(465,1),(477,1),(512,1),(513,1),(514,1),(541,1)}
       493:{2,3,6}:{(464,1),(465,1),(466,1),(513,1),(515,1)}
       494:{2,4,7}:{(465,1),(467,1),(478,1),(514,1),(515,1)}
       495:{3,4,6}:{(466,1),(467,1),(468,1),(515,1),(516,1)}
       496:{4,5}:{(468,1),(516,1)}
       497:{2,4,7}:{(469,1),(470,1),(472,1),(517,1)}
       498:{1,4,6}:{(470,1),(471,1),(473,1),(517,1),(518,1),(549,1)}
       499:{2,4,5}:{(471,1),(474,1),(518,1),(519,1),(521,1)}
       500:{1,3,5,7}:{(472,1),(473,1),(476,1),(479,1),(510,1),(517,1),(520,1),(535,1),(542,1),(548,1)}
       501:{2,5,6}:{(473,1),(474,1),(480,1),(511,1),(518,1),(520,1)}
       502:{2,3,5}:{(474,1),(475,1),(477,1),(519,1),(521,1)}
       503:{1,4}:{(477,1),(478,1),(521,1)}
       504:{2,7}:{(479,1),(480,1)}
       505:{3,5,7}:{(481,1),(482,1),(483,1),(522,1)}
       506:{2,5,6}:{(482,1),(484,1),(522,1),(523,1),(531,1)}
       507:{2,4,6,7}:{(483,1),(484,1),(486,1),(497,1),(522,1),(524,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(523,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(488,1),(499,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       510:{1,3,6,7}:{(486,1),(487,1),(490,1),(500,1),(524,1),(527,1),(545,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(492,1),(502,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,3,6}:{(491,1),(492,1),(493,1),(528,1),(530,1)}
       514:{1,4,7}:{(492,1),(494,1),(503,1),(529,1),(530,1)}
       515:{2,4,6}:{(493,1),(494,1),(495,1),(530,1),(531,1)}
       516:{3,5}:{(495,1),(496,1),(531,1)}
       517:{1,4,7}:{(497,1),(498,1),(500,1),(532,1),(551,1)}
       518:{2,4,6}:{(498,1),(499,1),(501,1),(532,1),(533,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,5,7}:{(500,1),(501,1),(504,1),(527,1),(532,1)}
       521:{2,4}:{(502,1),(503,1),(534,1)}
       522:{2,5,7}:{(505,1),(506,1),(507,1),(535,1)}
       523:{1,5,6}:{(506,1),(508,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(507,1),(508,1),(510,1),(517,1),(535,1),(537,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(509,1),(519,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(510,1),(511,1),(520,1)}
       528:{2,3,6}:{(511,1),(512,1),(513,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(514,1),(521,1),(539,1),(540,1)}
       530:{1,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(516,1),(541,1)}
       532:{2,4,7}:{(517,1),(518,1),(520,1),(542,1)}
       533:{3,6}:{(518,1),(519,1),(542,1)}
       534:{3,4}:{(519,1),(521,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 619 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 620 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 621 :   0:{3,4,5}:{(1,1),(2,1),(92,1),(125,1)}
         1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(75,1),(112,1)}
         2:{3,4,6}:{(0,1),(6,1),(7,1),(8,1)}
         3:{2,3,4}:{(4,1),(9,1),(56,1),(75,1)}
         4:{2,3,5}:{(1,1),(3,1),(10,1),(11,1)}
         5:{1,4,5}:{(1,1),(10,1),(12,1),(13,1),(60,1),(97,1)}
         6:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1)}
         7:{3,5,6}:{(2,1),(14,1),(16,1),(17,1),(125,1),(146,1)}
         8:{3,4,7}:{(2,1),(15,1),(17,1)}
         9:{1,3,4}:{(3,1),(10,1),(18,1),(35,1),(42,1),(60,1)}
        10:{1,3,5}:{(4,1),(5,1),(9,1),(19,1),(20,1),(22,1)}
        11:{2,3,6}:{(4,1),(6,1),(20,1),(21,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1),(23,1),(46,1),(81,1),(85,1)}
        13:{1,4,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(25,1)}
        14:{2,5,6}:{(6,1),(7,1),(24,1),(26,1),(112,1),(140,1)}
        15:{2,4,7}:{(6,1),(8,1),(21,1),(25,1),(26,1)}
        16:{4,5,6}:{(7,1),(27,1),(137,1),(150,1)}
        17:{3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1)}
        18:{2,4}:{(9,1),(19,1),(30,1)}
        19:{2,5}:{(10,1),(18,1),(33,1)}
        20:{1,3,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(36,1)}
        21:{2,3,7}:{(11,1),(15,1),(34,1)}
        22:{3,5}:{(12,1),(35,1),(36,1)}
        23:{2,4,6}:{(12,1),(13,1),(33,1),(36,1),(37,1),(38,1),(69,1)}
        24:{1,5,6}:{(13,1),(14,1),(37,1),(39,1),(97,1),(131,1)}
        25:{1,4,7}:{(13,1),(15,1),(34,1),(38,1),(39,1)}
        26:{2,5,7}:{(14,1),(15,1),(17,1),(39,1),(40,1)}
        27:{4,5,7}:{(16,1),(17,1),(41,1)}
        28:{3,6,7}:{(17,1),(40,1),(41,1),(146,1)}
        29:{1,2,4}:{(18,1),(31,1),(42,1),(60,1),(72,1)}
        30:{2,3}:{(18,1),(42,1)}
        31:{1,2,5}:{(19,1),(29,1),(44,1),(45,1),(89,1)}
        32:{2,3,5}:{(19,1),(22,1),(30,1),(44,1),(46,1),(47,1),(81,1)}
        33:{2,6}:{(19,1),(20,1),(48,1)}
        34:{1,3,7}:{(20,1),(21,1),(25,1),(48,1),(52,1)}
        35:{3,4}:{(22,1),(46,1)}
        36:{3,6}:{(22,1),(23,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1),(81,1),(118,1)}
        38:{2,4,7}:{(23,1),(25,1),(48,1),(52,1),(53,1),(87,1)}
        39:{1,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        40:{2,6,7}:{(26,1),(28,1),(54,1),(140,1)}
        41:{4,6,7}:{(27,1),(28,1),(55,1),(150,1)}
        42:{1,3}:{(29,1),(30,1),(56,1)}
        43:{2,3,4}:{(30,1),(46,1),(57,1),(58,1)}
        44:{1,3,5}:{(31,1),(32,1),(42,1),(59,1),(60,1),(61,1),(97,1)}
        45:{1,2,6}:{(31,1),(33,1),(61,1),(62,1),(107,1)}
        46:{2,4}:{(32,1),(35,1),(60,1)}
        47:{2,3,6}:{(32,1),(33,1),(36,1),(61,1),(64,1),(65,1)}
        48:{2,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1),(66,1),(67,1)}
        50:{3,4,6}:{(35,1),(36,1),(64,1),(67,1),(68,1),(69,1),(105,1)}
        51:{3,5,6}:{(36,1),(37,1),(67,1),(69,1),(70,1),(105,1),(134,1)}
        52:{3,7}:{(36,1),(38,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(70,1),(71,1)}
        54:{1,6,7}:{(39,1),(40,1),(71,1),(131,1)}
        55:{5,6,7}:{(41,1),(152,1)}
        56:{2,3}:{(42,1),(72,1)}
        57:{1,3,4}:{(42,1),(43,1),(60,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(43,1),(63,1),(73,1),(74,1)}
        59:{2,3,5}:{(44,1),(56,1),(75,1),(76,1),(89,1),(109,1),(112,1)}
        60:{1,4}:{(44,1),(46,1),(75,1)}
        61:{1,3,6}:{(44,1),(45,1),(47,1),(76,1),(78,1),(79,1)}
        62:{1,2,7}:{(45,1),(48,1),(79,1),(123,1)}
        63:{2,4,5}:{(46,1),(49,1),(58,1),(77,1),(80,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(78,1),(81,1),(82,1),(118,1)}
        65:{2,3,7}:{(47,1),(48,1),(52,1),(79,1),(82,1)}
        66:{3,4,6}:{(49,1),(80,1),(83,1),(84,1)}
        67:{3,5}:{(50,1),(81,1),(85,1)}
        68:{3,4,7}:{(50,1),(52,1),(82,1),(86,1),(87,1)}
        69:{4,6}:{(51,1),(85,1),(87,1)}
        70:{3,5,7}:{(51,1),(52,1),(53,1),(87,1),(88,1),(122,1)}
        71:{2,6,7}:{(53,1),(54,1),(88,1),(118,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(77,1),(89,1),(90,1),(109,1)}
        74:{2,3,6}:{(58,1),(80,1),(90,1),(91,1)}
        75:{2,4}:{(59,1),(60,1),(92,1)}
        76:{2,3,6}:{(59,1),(61,1),(94,1),(95,1),(107,1),(124,1)}
        77:{1,4,5}:{(60,1),(63,1),(73,1),(93,1),(96,1),(97,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(94,1),(97,1),(98,1),(131,1)}
        79:{1,3,7}:{(61,1),(62,1),(65,1),(95,1),(98,1)}
        80:{2,4,6}:{(63,1),(66,1),(74,1),(96,1),(99,1),(100,1)}
        81:{2,5}:{(64,1),(67,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(98,1),(101,1)}
        83:{3,5,6}:{(66,1),(67,1),(99,1),(102,1),(103,1),(105,1)}
        84:{3,4,7}:{(66,1),(100,1),(103,1)}
        85:{4,5}:{(67,1),(69,1)}
        86:{3,5,7}:{(67,1),(68,1),(101,1),(104,1),(105,1)}
        87:{4,7}:{(69,1),(70,1)}
        88:{3,6,7}:{(70,1),(71,1),(105,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(96,1),(107,1),(108,1),(124,1)}
        91:{2,3,7}:{(74,1),(100,1),(108,1)}
        92:{3,4}:{(75,1),(109,1)}
        93:{2,4,5}:{(75,1),(77,1),(89,1),(109,1),(111,1),(112,1),(137,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(110,1),(112,1),(113,1),(140,1)}
        95:{2,3,7}:{(76,1),(79,1),(113,1),(123,1),(136,1)}
        96:{1,4,6}:{(77,1),(80,1),(90,1),(111,1),(114,1),(115,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,7}:{(78,1),(79,1),(82,1),(113,1),(116,1)}
        99:{2,5,6}:{(80,1),(81,1),(83,1),(114,1),(117,1),(118,1)}
       100:{2,4,7}:{(80,1),(84,1),(91,1),(115,1),(117,1)}
       101:{2,5,7}:{(81,1),(82,1),(86,1),(116,1),(118,1)}
       102:{4,5,6}:{(83,1),(85,1),(119,1),(121,1)}
       103:{3,5,7}:{(83,1),(84,1),(117,1),(119,1),(120,1)}
       104:{4,5,7}:{(85,1),(86,1),(87,1),(121,1),(122,1)}
       105:{3,6}:{(86,1),(118,1),(121,1)}
       106:{4,6,7}:{(87,1),(88,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(115,1),(123,1),(136,1)}
       109:{3,5}:{(92,1),(93,1),(124,1)}
       110:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       111:{2,4,6}:{(93,1),(96,1),(107,1),(124,1),(127,1),(128,1),(143,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,7}:{(94,1),(95,1),(98,1),(126,1),(129,1)}
       114:{1,5,6}:{(96,1),(97,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,4,7}:{(96,1),(100,1),(108,1),(128,1),(130,1)}
       116:{1,5,7}:{(97,1),(98,1),(101,1),(129,1),(131,1)}
       117:{2,5,7}:{(99,1),(100,1),(103,1),(130,1),(132,1)}
       118:{2,6}:{(101,1),(105,1),(131,1)}
       119:{4,5,7}:{(102,1),(103,1),(133,1)}
       120:{3,6,7}:{(103,1),(105,1),(132,1),(133,1)}
       121:{4,6}:{(104,1),(105,1),(134,1)}
       122:{5,7}:{(106,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,6}:{(109,1),(111,1),(136,1)}
       125:{3,5}:{(110,1),(112,1),(137,1)}
       126:{3,4,7}:{(110,1),(113,1),(136,1),(138,1),(148,1)}
       127:{2,5,6}:{(111,1),(112,1),(114,1),(135,1),(139,1),(140,1)}
       128:{2,4,7}:{(111,1),(115,1),(123,1),(136,1),(139,1),(148,1)}
       129:{2,5,7}:{(112,1),(113,1),(116,1),(138,1),(140,1)}
       130:{1,5,7}:{(114,1),(115,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(116,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(120,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(121,1),(142,1)}
       134:{5,6}:{(121,1),(122,1)}
       135:{3,5,6}:{(124,1),(125,1),(127,1),(143,1),(144,1),(146,1),(152,1)}
       136:{3,7}:{(124,1),(128,1)}
       137:{4,5}:{(125,1),(143,1)}
       138:{3,5,7}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       139:{2,5,7}:{(127,1),(128,1),(130,1),(144,1),(147,1)}
       140:{2,6}:{(129,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(137,1),(148,1)}
       144:{3,5,7}:{(135,1),(136,1),(139,1),(148,1),(149,1),(153,1)}
       145:{4,5,7}:{(137,1),(138,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(150,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(149,1)}
       148:{4,7}:{(143,1),(144,1)}
       149:{3,6,7}:{(144,1),(146,1),(147,1),(151,1)}
       150:{4,6}:{(145,1),(146,1),(152,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 622 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 623 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 624 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 625 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 626 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(34,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(54,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(55,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(34,1),(38,1),(46,1),(77,1),(83,1),(101,1),(108,1),(125,1),(136,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(74,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(77,1),(113,1),(136,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(19,1),(20,1),(21,1),(29,1),(53,1),(54,1),(64,1),(84,1),(93,1),(99,1),(117,1),(118,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(115,1),(119,1),(131,1)}
        12:{2,4,6}:{(4,1),(21,1),(23,1),(24,1),(55,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(20,1),(25,1),(27,1),(28,1),(47,1),(59,1),(84,1),(93,1),(115,1),(119,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(31,1),(32,1),(34,1),(42,1),(65,1),(68,1),(81,1),(83,1),(103,1),(104,1),(105,1),(108,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(15,1),(31,1),(34,1),(35,1),(45,1),(114,1),(126,1)}
        21:{1,4,6}:{(10,1),(12,1),(32,1),(35,1),(36,1),(74,1)}
        22:{2,4,6,7}:{(12,1),(33,1),(37,1),(38,1),(72,1),(77,1),(108,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(36,1),(38,1),(39,1),(125,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(34,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(35,1),(41,1),(44,1),(45,1),(66,1),(76,1),(79,1),(81,1),(102,1),(110,1),(112,1),(113,1),(124,1),(128,1),(136,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{3,5,7}:{(19,1),(25,1),(47,1),(50,1),(61,1),(86,1),(100,1),(119,1)}
        32:{2,4,6}:{(19,1),(21,1),(50,1),(51,1),(55,1),(90,1)}
        33:{1,4,6,7}:{(21,1),(22,1),(48,1),(52,1),(53,1),(91,1),(93,1),(118,1)}
        34:{2,5,7}:{(20,1),(27,1),(54,1),(55,1),(63,1),(123,1),(132,1)}
        35:{1,3,6}:{(20,1),(21,1),(23,1),(50,1),(55,1)}
        36:{1,5,6}:{(21,1),(24,1),(29,1),(51,1),(53,1),(117,1)}
        37:{3,6,7}:{(22,1),(23,1),(57,1),(119,1)}
        38:{2,5,7}:{(22,1),(24,1),(53,1),(57,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(57,1),(58,1),(131,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(115,1),(119,1),(132,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(54,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(55,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(86,1),(100,1),(117,1),(131,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{3,4,7}:{(31,1),(65,1),(66,1),(81,1),(105,1),(113,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(67,1),(68,1),(72,1),(105,1),(108,1)}
        49:{2,3,5,7}:{(31,1),(34,1),(40,1),(65,1),(69,1),(70,1),(80,1),(103,1)}
        50:{3,6}:{(31,1),(32,1)}
        51:{2,5,6}:{(32,1),(36,1),(42,1),(68,1),(71,1),(103,1)}
        52:{1,3,6,7}:{(33,1),(35,1),(37,1),(67,1),(72,1),(73,1),(126,1)}
        53:{1,5,7}:{(33,1),(36,1),(38,1),(68,1)}
        54:{1,5,7}:{(34,1),(43,1),(74,1),(82,1),(130,1),(137,1)}
        55:{2,6}:{(34,1),(35,1),(74,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(39,1),(45,1),(71,1),(73,1),(75,1),(76,1),(110,1)}
        57:{3,5,7}:{(37,1),(38,1),(39,1),(77,1)}
        58:{4,6}:{(39,1),(46,1),(77,1),(136,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(137,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(124,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(74,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(76,1),(81,1),(83,1),(104,1),(112,1),(130,1),(136,1)}
        65:{2,4,7}:{(47,1),(49,1),(84,1),(85,1),(98,1)}
        66:{3,4,6}:{(47,1),(50,1),(85,1),(86,1),(90,1)}
        67:{3,6,7}:{(48,1),(50,1),(87,1),(119,1)}
        68:{2,5,7}:{(48,1),(51,1),(53,1),(87,1)}
        69:{1,3,5,7}:{(49,1),(54,1),(59,1),(84,1),(88,1),(89,1),(97,1),(115,1),(117,1),(131,1)}
        70:{2,3,6}:{(49,1),(50,1),(55,1),(85,1),(89,1)}
        71:{3,5,6}:{(50,1),(51,1),(61,1),(86,1),(87,1),(90,1)}
        72:{2,6,7}:{(52,1),(55,1),(91,1),(92,1),(132,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(56,1),(57,1),(87,1),(92,1),(93,1),(119,1)}
        74:{1,6}:{(54,1),(55,1)}
        75:{2,5,6}:{(55,1),(56,1),(63,1),(92,1),(94,1),(95,1)}
        76:{1,4,6}:{(56,1),(58,1),(64,1),(90,1),(93,1),(95,1),(133,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(131,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{1,4,7}:{(65,1),(69,1),(101,1),(102,1),(112,1),(136,1)}
        85:{2,4,6}:{(65,1),(66,1),(70,1),(102,1),(103,1)}
        86:{3,5}:{(66,1),(103,1),(104,1)}
        87:{3,5,7}:{(67,1),(68,1),(71,1),(105,1)}
        88:{2,5,7}:{(69,1),(78,1),(101,1),(106,1),(111,1),(125,1)}
        89:{1,3,6}:{(69,1),(70,1),(74,1),(102,1),(106,1),(124,1)}
        90:{4,6}:{(71,1),(81,1),(104,1),(105,1)}
        91:{1,6,7}:{(72,1),(74,1),(107,1),(137,1)}
        92:{2,5,7}:{(72,1),(73,1),(75,1),(107,1),(108,1)}
        93:{1,4,7}:{(73,1),(76,1),(77,1),(105,1),(108,1),(137,1)}
        94:{1,5,6}:{(74,1),(75,1),(82,1),(107,1),(109,1)}
        95:{2,4,6}:{(75,1),(76,1),(83,1),(108,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(136,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{2,4,7}:{(84,1),(88,1),(115,1),(116,1),(121,1)}
       102:{1,4,6}:{(84,1),(85,1),(89,1),(116,1),(117,1)}
       103:{2,5}:{(85,1),(86,1),(117,1)}
       104:{4,5}:{(86,1),(90,1)}
       105:{4,7}:{(87,1),(90,1)}
       106:{2,6}:{(88,1),(89,1)}
       107:{1,5,7}:{(91,1),(92,1),(94,1),(118,1)}
       108:{2,4,7}:{(92,1),(93,1),(95,1),(118,1),(119,1),(132,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(118,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(119,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{3,7}:{(101,1),(124,1),(128,1)}
       116:{2,4,6}:{(101,1),(102,1),(106,1),(124,1),(125,1),(136,1)}
       117:{1,5}:{(102,1),(103,1),(125,1)}
       118:{1,4,7}:{(107,1),(108,1),(109,1),(126,1)}
       119:{3,7}:{(108,1),(110,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(126,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{3,6}:{(115,1),(116,1),(131,1)}
       125:{2,5}:{(116,1),(117,1),(131,1)}
       126:{1,3,7}:{(118,1),(119,1),(120,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(132,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{3,5}:{(124,1),(125,1),(136,1)}
       132:{2,7}:{(126,1),(127,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(137,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{4}:{(131,1)}
       137:{1,7}:{(132,1),(133,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 627 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(46,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(46,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(65,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(66,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(38,1),(66,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(46,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(82,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(46,1),(59,1),(60,1),(88,1),(92,1),(107,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(61,1),(66,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(65,1),(69,1),(72,1),(99,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(99,1),(103,1),(114,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(114,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(38,1),(41,1),(101,1),(114,1)}
        24:{2,4,6}:{(12,1),(31,1),(38,1),(40,1),(66,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(38,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(46,1),(80,1),(81,1),(88,1),(104,1),(107,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(46,1),(47,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(47,1),(49,1),(82,1)}
        32:{2,4,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(47,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{3,6}:{(23,1),(24,1)}
        39:{2,4,6,7}:{(24,1),(48,1),(57,1),(59,1),(83,1),(92,1),(107,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(61,1),(64,1),(101,1),(114,1)}
        43:{2,4,6}:{(27,1),(31,1),(61,1),(63,1),(66,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(61,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{2,5,7}:{(30,1),(32,1),(65,1),(66,1),(71,1),(115,1),(122,1)}
        47:{1,3,6}:{(30,1),(31,1),(38,1),(61,1),(66,1)}
        48:{1,4,6,7}:{(31,1),(39,1),(62,1),(67,1),(69,1),(95,1),(99,1),(112,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(69,1)}
        50:{1,4,7}:{(32,1),(35,1),(65,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(66,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(114,1)}
        58:{3,5,6}:{(38,1),(40,1),(41,1),(76,1),(77,1)}
        59:{2,5,7}:{(39,1),(40,1),(69,1),(76,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{3,6}:{(42,1),(43,1)}
        62:{2,4,6,7}:{(43,1),(48,1),(78,1),(80,1),(83,1),(104,1),(107,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,5,7}:{(46,1),(50,1),(82,1),(87,1),(120,1),(125,1)}
        66:{2,6}:{(46,1),(47,1),(82,1)}
        67:{1,3,6,7}:{(47,1),(48,1),(57,1),(78,1),(83,1),(85,1),(118,1)}
        68:{1,3,5,6}:{(47,1),(49,1),(52,1),(58,1),(79,1),(84,1),(85,1),(86,1),(108,1)}
        69:{1,5,7}:{(48,1),(49,1),(59,1),(80,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(82,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(58,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(114,1)}
        79:{3,5,6}:{(61,1),(63,1),(64,1),(93,1),(94,1)}
        80:{2,5,7}:{(62,1),(63,1),(69,1),(93,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{1,6}:{(65,1),(66,1)}
        83:{2,6,7}:{(66,1),(67,1),(95,1),(97,1),(122,1)}
        84:{2,5,6}:{(66,1),(68,1),(71,1),(96,1),(97,1),(98,1)}
        85:{1,3,5,7}:{(67,1),(68,1),(69,1),(76,1),(93,1),(97,1),(99,1),(114,1)}
        86:{1,4,6}:{(68,1),(72,1),(77,1),(94,1),(98,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(98,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(79,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(83,1),(105,1),(125,1)}
        96:{1,5,6}:{(82,1),(84,1),(87,1),(105,1),(106,1)}
        97:{2,5,7}:{(83,1),(84,1),(85,1),(105,1),(107,1)}
        98:{2,4,6}:{(84,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
        99:{1,4,7}:{(85,1),(86,1),(92,1),(104,1),(107,1),(125,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(106,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(97,1),(112,1)}
       106:{1,4,6}:{(96,1),(98,1),(100,1),(112,1),(113,1)}
       107:{2,4,7}:{(97,1),(98,1),(99,1),(112,1),(114,1),(122,1)}
       108:{3,6}:{(98,1),(101,1),(114,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(113,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{1,3,6}:{(106,1),(108,1),(109,1),(118,1),(119,1)}
       114:{3,7}:{(107,1),(108,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(113,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 628 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(3,1),(5,1),(6,1),(19,1),(24,1),(27,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(9,1),(34,1)}
         3:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(33,1),(37,1),(68,1)}
         4:{1,2,6}:{(0,1),(10,1),(11,1),(69,1)}
         5:{2,4}:{(1,1),(9,1),(12,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(15,1),(39,1),(69,1)}
         7:{2,3,5}:{(3,1),(16,1),(17,1),(19,1),(45,1),(48,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,4}:{(3,1),(5,1),(16,1)}
        10:{1,3,6}:{(3,1),(4,1),(6,1),(17,1),(22,1),(23,1),(84,1)}
        11:{1,2,7}:{(4,1),(23,1),(85,1)}
        12:{3,4}:{(5,1),(24,1)}
        13:{2,4,5}:{(5,1),(21,1),(24,1),(26,1),(27,1),(51,1),(58,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(25,1),(27,1),(28,1),(61,1)}
        15:{2,3,7}:{(6,1),(23,1),(28,1),(57,1),(85,1)}
        16:{2,4}:{(7,1),(9,1),(29,1)}
        17:{2,3,6}:{(7,1),(10,1),(31,1),(32,1),(62,1),(69,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(9,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,4,5}:{(9,1),(13,1),(30,1),(35,1),(36,1),(37,1),(68,1)}
        22:{1,4,6}:{(9,1),(10,1),(14,1),(31,1),(37,1),(38,1),(72,1)}
        23:{1,3,7}:{(10,1),(11,1),(15,1),(32,1),(38,1),(95,1)}
        24:{3,5}:{(12,1),(13,1),(39,1)}
        25:{3,4,6}:{(12,1),(14,1),(39,1),(40,1),(41,1),(73,1),(76,1)}
        26:{2,4,6}:{(13,1),(36,1),(39,1),(42,1),(43,1),(69,1),(73,1)}
        27:{2,5}:{(14,1),(37,1),(40,1)}
        28:{2,4,7}:{(14,1),(15,1),(38,1),(41,1),(44,1)}
        29:{3,4}:{(16,1),(45,1)}
        30:{2,4,5}:{(16,1),(21,1),(45,1),(47,1),(48,1),(51,1),(80,1)}
        31:{2,4,6}:{(16,1),(17,1),(22,1),(46,1),(48,1),(49,1),(83,1)}
        32:{2,3,7}:{(17,1),(23,1),(49,1),(79,1),(85,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(21,1),(24,1),(45,1),(51,1),(52,1)}
        36:{1,4,6}:{(21,1),(26,1),(47,1),(52,1),(53,1),(54,1),(84,1)}
        37:{1,5}:{(22,1),(27,1),(48,1)}
        38:{1,4,7}:{(22,1),(23,1),(28,1),(49,1),(55,1)}
        39:{3,6}:{(24,1),(26,1),(57,1)}
        40:{3,5}:{(25,1),(27,1),(58,1)}
        41:{3,4,7}:{(25,1),(28,1),(57,1),(59,1),(87,1)}
        42:{2,5,6}:{(26,1),(27,1),(53,1),(56,1),(60,1),(61,1)}
        43:{2,4,7}:{(26,1),(54,1),(57,1),(60,1),(85,1),(87,1)}
        44:{2,5,7}:{(27,1),(28,1),(55,1),(59,1),(61,1)}
        45:{3,5}:{(29,1),(30,1),(62,1)}
        46:{3,4,6}:{(29,1),(31,1),(62,1),(63,1),(64,1),(90,1),(93,1)}
        47:{2,4,6}:{(30,1),(36,1),(62,1),(65,1),(66,1),(69,1),(90,1)}
        48:{2,5}:{(31,1),(37,1),(63,1)}
        49:{2,4,7}:{(31,1),(32,1),(38,1),(64,1),(67,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(36,1),(39,1),(62,1),(69,1),(70,1)}
        53:{1,5,6}:{(36,1),(37,1),(42,1),(65,1),(71,1),(72,1)}
        54:{1,4,7}:{(36,1),(43,1),(66,1),(70,1),(71,1),(95,1)}
        55:{1,5,7}:{(37,1),(38,1),(44,1),(67,1),(72,1)}
        56:{3,5,6}:{(39,1),(40,1),(42,1),(73,1),(74,1),(76,1),(97,1)}
        57:{3,7}:{(39,1),(43,1)}
        58:{4,5}:{(40,1),(73,1)}
        59:{3,5,7}:{(40,1),(41,1),(44,1),(75,1),(76,1)}
        60:{2,5,7}:{(42,1),(43,1),(71,1),(74,1),(77,1)}
        61:{2,6}:{(44,1),(72,1),(76,1)}
        62:{3,6}:{(45,1),(47,1),(79,1)}
        63:{3,5}:{(46,1),(48,1),(80,1)}
        64:{3,4,7}:{(46,1),(49,1),(79,1),(81,1),(98,1)}
        65:{2,5,6}:{(47,1),(48,1),(53,1),(78,1),(82,1),(83,1)}
        66:{2,4,7}:{(47,1),(54,1),(79,1),(82,1),(85,1),(98,1)}
        67:{2,5,7}:{(48,1),(49,1),(55,1),(81,1),(83,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(54,1),(57,1),(79,1),(85,1)}
        71:{1,5,7}:{(53,1),(54,1),(60,1),(82,1),(86,1)}
        72:{1,6}:{(55,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(58,1),(87,1)}
        74:{3,5,7}:{(56,1),(57,1),(60,1),(87,1),(88,1),(101,1)}
        75:{4,5,7}:{(58,1),(59,1),(87,1),(89,1),(101,1)}
        76:{3,6}:{(59,1),(61,1),(89,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(88,1)}
        78:{3,5,6}:{(62,1),(63,1),(65,1),(90,1),(91,1),(93,1),(103,1)}
        79:{3,7}:{(62,1),(66,1)}
        80:{4,5}:{(63,1),(90,1)}
        81:{3,5,7}:{(63,1),(64,1),(67,1),(92,1),(93,1)}
        82:{2,5,7}:{(65,1),(66,1),(71,1),(91,1),(94,1)}
        83:{2,6}:{(67,1),(72,1),(93,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,7}:{(73,1),(74,1)}
        88:{3,6,7}:{(74,1),(76,1),(77,1),(96,1)}
        89:{4,6}:{(75,1),(76,1),(97,1)}
        90:{4,6}:{(78,1),(80,1),(98,1)}
        91:{3,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(104,1)}
        92:{4,5,7}:{(80,1),(81,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(81,1),(83,1),(100,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(99,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(89,1),(101,1)}
        98:{4,7}:{(90,1),(91,1)}
        99:{3,6,7}:{(91,1),(93,1),(94,1),(102,1)}
       100:{4,6}:{(92,1),(93,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 629 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(92,1)}
         1:{2,3,6}:{(3,1),(6,1),(7,1),(8,1),(65,1),(92,1)}
         2:{3,4,6}:{(6,1),(9,1),(10,1),(32,1),(33,1),(36,1),(65,1)}
         3:{1,3,6}:{(0,1),(1,1),(11,1),(12,1),(13,1),(14,1),(99,1)}
         4:{1,2,5}:{(0,1),(13,1),(15,1),(80,1),(82,1)}
         5:{1,2,7}:{(0,1),(14,1),(100,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1),(18,1),(49,1)}
         7:{2,3,5}:{(1,1),(13,1),(16,1),(18,1),(45,1),(48,1),(80,1)}
         8:{2,3,7}:{(1,1),(14,1),(17,1),(83,1),(100,1)}
         9:{3,5}:{(2,1),(16,1),(20,1)}
        10:{3,4,7}:{(2,1),(17,1),(21,1),(50,1),(83,1)}
        11:{2,3,6}:{(3,1),(22,1),(23,1),(24,1),(89,1),(92,1)}
        12:{1,4,6}:{(3,1),(6,1),(22,1),(25,1),(26,1),(27,1),(62,1)}
        13:{1,3,5}:{(3,1),(4,1),(7,1),(23,1),(25,1),(27,1),(28,1),(64,1),(94,1)}
        14:{1,3,7}:{(3,1),(5,1),(8,1),(24,1),(26,1),(103,1)}
        15:{1,2,4}:{(4,1),(27,1),(28,1),(63,1)}
        16:{2,5}:{(6,1),(9,1),(25,1)}
        17:{2,4,7}:{(6,1),(8,1),(10,1),(26,1),(31,1)}
        18:{2,4}:{(7,1),(27,1),(32,1)}
        19:{3,5,6}:{(9,1),(29,1),(33,1),(34,1),(36,1),(65,1),(69,1)}
        20:{4,5}:{(9,1),(33,1)}
        21:{3,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1)}
        22:{2,4,6}:{(11,1),(12,1),(37,1),(38,1),(39,1),(40,1),(76,1)}
        23:{2,3,5}:{(11,1),(13,1),(38,1),(40,1),(45,1),(75,1),(80,1)}
        24:{2,3,7}:{(11,1),(14,1),(39,1),(98,1),(100,1)}
        25:{1,5}:{(12,1),(16,1),(38,1)}
        26:{1,4,7}:{(12,1),(14,1),(17,1),(39,1),(43,1)}
        27:{1,4}:{(13,1),(18,1),(40,1)}
        28:{1,3}:{(15,1),(45,1)}
        29:{2,5,6}:{(16,1),(19,1),(41,1),(46,1),(47,1),(49,1)}
        30:{2,4,5}:{(16,1),(18,1),(20,1),(42,1),(46,1),(48,1),(80,1)}
        31:{2,5,7}:{(16,1),(17,1),(21,1),(43,1),(49,1)}
        32:{3,4}:{(18,1),(48,1)}
        33:{4,6}:{(19,1),(20,1),(50,1)}
        34:{3,5,7}:{(19,1),(47,1),(50,1),(51,1),(83,1),(84,1)}
        35:{4,5,7}:{(20,1),(21,1),(50,1),(52,1),(84,1)}
        36:{3,6}:{(21,1),(49,1),(52,1)}
        37:{3,4,6}:{(22,1),(53,1),(54,1),(58,1),(85,1),(88,1),(89,1)}
        38:{2,5}:{(22,1),(25,1),(53,1)}
        39:{2,4,7}:{(22,1),(24,1),(26,1),(54,1),(57,1)}
        40:{2,4}:{(23,1),(27,1),(58,1)}
        41:{1,5,6}:{(25,1),(29,1),(55,1),(59,1),(60,1),(62,1)}
        42:{1,4,5}:{(25,1),(27,1),(30,1),(56,1),(59,1),(61,1),(94,1)}
        43:{1,5,7}:{(25,1),(26,1),(31,1),(57,1),(62,1)}
        44:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(61,1),(63,1)}
        45:{2,3}:{(28,1),(63,1),(64,1)}
        46:{2,4,6}:{(29,1),(30,1),(33,1),(59,1),(65,1),(66,1),(92,1)}
        47:{2,5,7}:{(29,1),(34,1),(60,1),(66,1),(67,1)}
        48:{3,5}:{(30,1),(32,1),(65,1)}
        49:{2,6}:{(31,1),(36,1),(62,1)}
        50:{4,7}:{(33,1),(34,1)}
        51:{3,6,7}:{(34,1),(36,1),(67,1),(68,1)}
        52:{4,6}:{(35,1),(36,1),(69,1)}
        53:{3,5}:{(37,1),(38,1),(71,1)}
        54:{3,4,7}:{(37,1),(39,1),(72,1),(95,1),(98,1)}
        55:{2,5,6}:{(38,1),(41,1),(70,1),(73,1),(74,1),(76,1)}
        56:{2,4,5}:{(38,1),(40,1),(42,1),(71,1),(73,1),(75,1),(80,1)}
        57:{2,5,7}:{(38,1),(39,1),(43,1),(72,1),(76,1)}
        58:{3,4}:{(40,1),(75,1)}
        59:{1,4,6}:{(41,1),(42,1),(46,1),(73,1),(77,1),(78,1),(99,1)}
        60:{1,5,7}:{(41,1),(47,1),(74,1),(78,1),(79,1)}
        61:{1,3,5}:{(42,1),(44,1),(48,1),(75,1),(77,1),(80,1)}
        62:{1,6}:{(43,1),(49,1),(76,1)}
        63:{2,4}:{(44,1),(45,1),(80,1),(81,1)}
        64:{1,3}:{(45,1),(81,1),(82,1)}
        65:{3,6}:{(46,1),(48,1),(83,1)}
        66:{2,4,7}:{(46,1),(47,1),(50,1),(78,1),(83,1),(100,1)}
        67:{2,6,7}:{(47,1),(49,1),(51,1),(79,1)}
        68:{4,6,7}:{(50,1),(51,1),(52,1),(84,1)}
        69:{5,6}:{(52,1),(84,1)}
        70:{3,5,6}:{(53,1),(55,1),(85,1),(86,1),(88,1),(89,1),(102,1)}
        71:{4,5}:{(53,1),(85,1)}
        72:{3,5,7}:{(53,1),(54,1),(57,1),(87,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(85,1),(89,1),(90,1),(92,1)}
        74:{2,5,7}:{(55,1),(60,1),(86,1),(90,1),(91,1)}
        75:{3,5}:{(56,1),(58,1),(89,1)}
        76:{2,6}:{(57,1),(62,1),(88,1)}
        77:{1,3,6}:{(59,1),(61,1),(65,1),(89,1),(92,1),(93,1)}
        78:{1,4,7}:{(59,1),(60,1),(66,1),(90,1),(93,1),(103,1)}
        79:{1,6,7}:{(60,1),(62,1),(67,1),(91,1)}
        80:{2,5}:{(61,1),(63,1),(92,1),(94,1)}
        81:{1,4}:{(63,1),(64,1),(94,1)}
        82:{1,2}:{(64,1)}
        83:{3,7}:{(65,1),(66,1)}
        84:{5,7}:{(68,1),(69,1)}
        85:{4,6}:{(70,1),(71,1),(95,1)}
        86:{3,5,7}:{(70,1),(74,1),(95,1),(96,1),(98,1),(104,1)}
        87:{4,5,7}:{(71,1),(72,1),(95,1),(97,1),(104,1)}
        88:{3,6}:{(72,1),(76,1),(97,1)}
        89:{3,6}:{(73,1),(75,1),(98,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(95,1),(98,1),(100,1)}
        91:{2,6,7}:{(74,1),(76,1),(79,1),(96,1)}
        92:{2,6}:{(77,1),(80,1),(99,1),(100,1)}
        93:{1,3,7}:{(77,1),(78,1),(83,1),(98,1),(100,1)}
        94:{1,5}:{(80,1),(81,1),(99,1)}
        95:{4,7}:{(85,1),(86,1)}
        96:{3,6,7}:{(86,1),(88,1),(91,1),(101,1)}
        97:{4,6}:{(87,1),(88,1),(102,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(94,1),(103,1)}
       100:{2,7}:{(92,1),(93,1),(103,1)}
       101:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       102:{5,6}:{(97,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 630 :   0:{1,2,7}:{(3,1),(4,1),(102,1)}
         1:{2,3,7}:{(3,1),(5,1),(6,1),(89,1),(102,1)}
         2:{3,4,7}:{(5,1),(7,1),(8,1),(62,1),(89,1)}
         3:{1,3,7}:{(0,1),(1,1),(9,1),(10,1),(11,1),(104,1)}
         4:{1,2,6}:{(0,1),(11,1),(12,1),(97,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(15,1),(76,1),(97,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(18,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(18,1),(43,1),(47,1),(76,1)}
         9:{2,3,7}:{(3,1),(19,1),(20,1),(101,1),(102,1)}
        10:{1,4,7}:{(3,1),(5,1),(19,1),(21,1),(22,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(20,1),(22,1),(23,1),(103,1)}
        12:{1,2,5}:{(4,1),(23,1),(24,1),(86,1),(88,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(25,1),(26,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(27,1)}
        15:{2,3,5}:{(6,1),(23,1),(26,1),(27,1),(57,1),(60,1),(86,1)}
        16:{4,5,7}:{(7,1),(28,1),(31,1),(61,1),(62,1)}
        17:{3,6}:{(7,1),(25,1),(28,1)}
        18:{3,5}:{(8,1),(26,1),(31,1)}
        19:{2,4,7}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        20:{2,3,6}:{(9,1),(11,1),(34,1),(35,1),(95,1),(97,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(36,1),(37,1)}
        22:{1,4,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(37,1),(38,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(35,1),(37,1),(38,1),(39,1),(74,1),(98,1)}
        24:{1,2,4}:{(12,1),(38,1),(39,1),(73,1)}
        25:{2,6}:{(13,1),(17,1),(36,1)}
        26:{2,5}:{(14,1),(18,1),(37,1)}
        27:{2,4}:{(15,1),(38,1),(43,1)}
        28:{4,6}:{(16,1),(17,1),(45,1)}
        29:{3,6,7}:{(17,1),(40,1),(44,1),(46,1)}
        30:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(46,1),(47,1),(76,1)}
        31:{4,5}:{(18,1),(47,1)}
        32:{3,4,7}:{(19,1),(48,1),(49,1),(100,1),(101,1)}
        33:{2,5,7}:{(19,1),(21,1),(48,1),(50,1),(51,1)}
        34:{2,4,6}:{(19,1),(20,1),(22,1),(49,1),(50,1),(51,1),(52,1)}
        35:{2,3,5}:{(20,1),(23,1),(51,1),(52,1),(57,1),(83,1),(86,1)}
        36:{1,6}:{(21,1),(25,1),(50,1)}
        37:{1,5}:{(22,1),(26,1),(51,1)}
        38:{1,4}:{(23,1),(27,1),(52,1)}
        39:{1,3}:{(24,1),(57,1)}
        40:{2,6,7}:{(25,1),(29,1),(53,1),(58,1)}
        41:{2,5,6}:{(25,1),(26,1),(30,1),(54,1),(58,1),(59,1)}
        42:{2,4,5}:{(26,1),(27,1),(31,1),(55,1),(59,1),(60,1),(86,1)}
        43:{3,4}:{(27,1),(60,1)}
        44:{4,6,7}:{(28,1),(29,1),(61,1),(62,1)}
        45:{5,6}:{(28,1),(61,1)}
        46:{3,5,7}:{(29,1),(30,1),(58,1),(61,1),(62,1),(89,1)}
        47:{4,6}:{(30,1),(31,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(63,1),(64,1),(65,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        50:{2,6}:{(33,1),(36,1),(64,1)}
        51:{2,5}:{(34,1),(37,1),(65,1)}
        52:{2,4}:{(35,1),(38,1),(69,1)}
        53:{1,6,7}:{(36,1),(40,1),(66,1),(70,1)}
        54:{1,5,6}:{(36,1),(37,1),(41,1),(67,1),(70,1),(71,1)}
        55:{1,4,5}:{(37,1),(38,1),(42,1),(68,1),(71,1),(72,1),(98,1)}
        56:{1,3,4}:{(38,1),(39,1),(43,1),(69,1),(72,1),(73,1)}
        57:{2,3}:{(39,1),(73,1),(74,1)}
        58:{2,5,7}:{(40,1),(41,1),(46,1),(70,1),(75,1)}
        59:{2,4,6}:{(41,1),(42,1),(47,1),(71,1),(75,1),(76,1),(97,1)}
        60:{3,5}:{(42,1),(43,1),(76,1)}
        61:{5,7}:{(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{4,5,7}:{(48,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(48,1),(50,1),(77,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{2,6,7}:{(50,1),(53,1),(78,1),(81,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(51,1),(52,1),(55,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(52,1),(83,1)}
        70:{1,5,7}:{(53,1),(54,1),(58,1),(81,1),(84,1)}
        71:{1,4,6}:{(54,1),(55,1),(59,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(55,1),(56,1),(60,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(56,1),(57,1),(86,1),(87,1)}
        74:{1,3}:{(57,1),(87,1),(88,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(59,1),(60,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 631 :  0:{1,2}:{(3,1)}
        1:{2,3}:{(3,1),(4,1)}
        2:{3,4}:{(4,1),(5,1)}
        3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
        4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
        6:{2,3}:{(3,1),(11,1)}
        7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
        8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
        9:{4,5}:{(5,1),(14,1)}
       10:{3,6}:{(5,1),(13,1),(14,1),(15,1)}
       11:{2,4}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{2,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,6}:{(9,1),(10,1),(20,1),(21,1)}
       15:{3,7}:{(10,1),(19,1),(21,1)}
       16:{3,4}:{(11,1),(22,1)}
       17:{2,5}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{5,6}:{(14,1),(25,1)}
       21:{4,7}:{(14,1),(15,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(26,1),(27,1)}
       23:{2,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,7}:{(18,1),(19,1),(28,1)}
       25:{5,7}:{(20,1),(21,1),(29,1)}
       26:{4,5}:{(22,1),(30,1)}
       27:{3,6}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,7}:{(23,1),(24,1),(31,1)}
       29:{6,7}:{(25,1)}
       30:{4,6}:{(26,1),(27,1),(32,1),(33,1)}
       31:{3,7}:{(27,1),(28,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 632 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 633 :   0:{2,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(36,1),(88,1),(115,1),(185,1),(199,1),(207,1),(213,1),(308,1)}
         1:{2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(10,1),(36,1),(48,1),(104,1),(115,1)}
         2:{2,4,5,6}:{(7,1),(9,1),(10,1),(11,1),(48,1),(104,1),(205,1),(206,1),(233,1),(329,1),(457,1),(517,1)}
         3:{1,3,4,6}:{(0,1),(12,1),(13,1),(14,1),(18,1),(53,1),(63,1),(71,1),(137,1),(144,1),(167,1),(252,1),(259,1),(260,1),(275,1)}
         4:{2,3,5}:{(0,1),(13,1),(15,1),(265,1),(272,1),(369,1)}
         5:{2,3,4,7}:{(0,1),(14,1),(16,1),(21,1),(134,1),(168,1),(244,1),(268,1),(276,1)}
         6:{1,3,5,6}:{(1,1),(13,1),(17,1),(18,1),(19,1),(63,1),(71,1),(83,1),(151,1),(167,1),(263,1)}
         7:{2,4,6}:{(1,1),(15,1),(18,1),(20,1),(21,1)}
         8:{2,3,5,7}:{(1,1),(19,1),(21,1),(22,1),(26,1),(78,1),(84,1),(168,1)}
         9:{1,4,5,6}:{(2,1),(18,1),(23,1),(24,1),(25,1),(83,1),(151,1),(155,1),(175,1),(274,1),(412,1)}
        10:{3,5,6}:{(2,1),(20,1),(26,1),(265,1),(295,1),(389,1)}
        11:{2,4,5,7}:{(2,1),(21,1),(25,1),(26,1),(27,1),(78,1),(84,1),(172,1),(296,1),(414,1),(493,1)}
        12:{2,4,6}:{(3,1),(29,1),(30,1),(31,1),(96,1),(100,1),(227,1),(321,1)}
        13:{1,3,5}:{(3,1),(4,1),(30,1),(32,1),(98,1),(315,1),(322,1),(337,1)}
        14:{1,3,4,7}:{(3,1),(5,1),(31,1),(33,1),(42,1),(91,1),(116,1),(191,1),(200,1),(228,1),(342,1)}
        15:{2,4,5}:{(4,1),(7,1),(32,1),(34,1),(185,1)}
        16:{2,3,5,7}:{(4,1),(5,1),(33,1),(35,1),(36,1),(328,1),(338,1)}
        17:{2,5,6}:{(6,1),(30,1),(39,1),(40,1),(100,1),(227,1)}
        18:{1,4,6}:{(6,1),(7,1),(32,1),(39,1),(42,1),(323,1)}
        19:{1,3,5,7}:{(6,1),(8,1),(40,1),(42,1),(43,1),(116,1),(120,1),(129,1),(228,1),(229,1)}
        20:{3,4,6}:{(7,1),(10,1),(34,1),(44,1),(517,1)}
        21:{2,4,7}:{(7,1),(8,1),(42,1),(44,1)}
        22:{2,3,6,7}:{(8,1),(36,1),(43,1),(45,1),(51,1),(130,1)}
        23:{2,4,5,6}:{(9,1),(39,1),(46,1),(47,1),(48,1),(111,1),(123,1),(204,1),(222,1),(323,1),(356,1),(357,1)}
        24:{1,3,5,6}:{(9,1),(10,1),(41,1),(46,1),(48,1),(49,1),(211,1),(339,1)}
        25:{1,4,5,7}:{(9,1),(11,1),(42,1),(47,1),(49,1),(50,1),(120,1),(129,1),(234,1),(360,1)}
        26:{3,5,7}:{(10,1),(11,1),(44,1),(51,1),(358,1)}
        27:{2,4,6,7}:{(11,1),(50,1),(51,1),(52,1),(130,1),(131,1),(329,1)}
        28:{1,2,4,6}:{(12,1),(53,1),(54,1),(55,1),(132,1),(137,1),(140,1),(252,1),(275,1),(278,1),(375,1)}
        29:{2,3,6}:{(12,1),(53,1),(57,1),(58,1),(71,1),(379,1)}
        30:{2,5}:{(12,1),(13,1)}
        31:{2,4,7}:{(12,1),(14,1),(58,1),(60,1),(289,1)}
        32:{1,4,5}:{(13,1),(15,1),(18,1),(59,1),(137,1),(380,1)}
        33:{1,3,5,7}:{(13,1),(14,1),(16,1),(60,1),(62,1),(63,1),(148,1),(399,1)}
        34:{3,4,5}:{(15,1),(20,1),(243,1),(265,1),(534,1)}
        35:{2,4,5,7}:{(15,1),(16,1),(21,1),(62,1),(64,1),(65,1),(78,1),(244,1),(369,1)}
        36:{2,3,6}:{(16,1),(63,1),(65,1),(389,1),(400,1)}
        37:{1,2,5,6}:{(17,1),(54,1),(66,1),(67,1),(68,1),(83,1),(140,1),(178,1),(240,1),(272,1),(278,1),(394,1),(398,1),(400,1),(476,1),(488,1)}
        38:{2,3,5,6}:{(17,1),(57,1),(66,1),(69,1),(70,1),(71,1),(146,1),(159,1),(162,1),(261,1),(263,1),(272,1),(284,1),(285,1),(400,1),(476,1),(480,1),(520,1),(531,1),(546,1),(547,1)}
        39:{2,4,6}:{(17,1),(18,1),(59,1),(71,1),(72,1)}
        40:{2,5,7}:{(17,1),(19,1),(72,1),(73,1),(289,1)}
        41:{1,3,4,6}:{(18,1),(20,1),(24,1),(61,1),(71,1),(74,1),(75,1),(79,1),(167,1),(175,1),(295,1)}
        42:{1,4,7}:{(18,1),(19,1),(21,1),(72,1),(290,1)}
        43:{1,3,6,7}:{(19,1),(22,1),(63,1),(73,1),(76,1),(169,1),(182,1)}
        44:{3,4,7}:{(20,1),(21,1),(26,1),(493,1)}
        45:{2,4,6,7}:{(21,1),(22,1),(65,1),(76,1),(77,1),(78,1)}
        46:{3,5,6}:{(23,1),(71,1),(79,1),(81,1),(162,1),(284,1)}
        47:{2,4,5,7}:{(23,1),(25,1),(72,1),(81,1),(82,1),(84,1),(170,1),(176,1),(290,1),(298,1),(299,1)}
        48:{2,5,6}:{(24,1),(74,1),(83,1),(84,1),(272,1),(400,1)}
        49:{1,3,5,7}:{(24,1),(25,1),(26,1),(75,1),(81,1),(84,1),(85,1)}
        50:{1,4,6,7}:{(25,1),(27,1),(82,1),(85,1),(86,1),(182,1),(274,1)}
        51:{3,6,7}:{(26,1),(27,1),(389,1)}
        52:{2,5,6,7}:{(27,1),(78,1),(86,1),(87,1),(390,1),(414,1)}
        53:{1,3,6}:{(28,1),(29,1),(88,1),(90,1),(91,1),(426,1)}
        54:{1,2,5}:{(28,1),(30,1),(90,1),(183,1),(315,1),(337,1)}
        55:{1,2,4,7}:{(28,1),(31,1),(91,1),(93,1),(184,1),(191,1),(342,1),(343,1)}
        56:{2,3,4,6}:{(29,1),(89,1),(94,1),(95,1),(96,1),(112,1),(194,1),(198,1),(201,1),(213,1),(306,1),(415,1)}
        57:{2,3,5}:{(29,1),(30,1),(90,1),(96,1),(98,1)}
        58:{2,3,7}:{(29,1),(31,1),(91,1),(116,1)}
        59:{2,4,5}:{(30,1),(32,1),(39,1),(96,1),(98,1)}
        60:{2,5,7}:{(30,1),(31,1),(33,1),(100,1)}
        61:{1,3,4,5}:{(32,1),(34,1),(41,1),(98,1),(101,1),(122,1),(190,1),(202,1),(211,1),(230,1),(353,1)}
        62:{1,4,5,7}:{(32,1),(33,1),(35,1),(42,1),(99,1),(102,1),(120,1),(191,1),(315,1)}
        63:{1,3,6}:{(33,1),(36,1),(100,1),(102,1),(203,1),(449,1)}
        64:{3,4,5,7}:{(34,1),(35,1),(44,1),(103,1),(121,1),(307,1),(328,1),(422,1),(444,1)}
        65:{2,4,6}:{(35,1),(36,1),(102,1),(103,1),(104,1)}
        66:{1,3,5,6}:{(37,1),(38,1),(90,1),(105,1),(106,1),(107,1),(108,1),(192,1),(211,1),(216,1),(315,1),(337,1),(339,1),(340,1),(447,1),(449,1),(514,1),(542,1)}
        67:{1,2,4,6}:{(37,1),(39,1),(92,1),(106,1),(108,1),(109,1),(118,1),(213,1),(227,1),(233,1),(301,1),(423,1),(494,1),(498,1)}
        68:{1,2,5,7}:{(37,1),(40,1),(107,1),(109,1),(110,1),(129,1),(237,1),(302,1),(338,1),(343,1),(445,1),(507,1)}
        69:{2,4,6}:{(38,1),(96,1),(106,1),(111,1),(112,1),(113,1),(323,1),(510,1),(550,1)}
        70:{2,3,5,7}:{(38,1),(40,1),(107,1),(113,1),(114,1),(116,1),(217,1),(221,1),(226,1),(229,1),(338,1),(507,1),(535,1),(548,1)}
        71:{3,6}:{(39,1),(98,1),(116,1)}
        72:{2,4,7}:{(39,1),(40,1),(42,1),(116,1)}
        73:{2,6,7}:{(40,1),(43,1),(100,1)}
        74:{2,4,6}:{(41,1),(48,1),(101,1),(115,1),(118,1),(119,1),(227,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(44,1),(49,1),(116,1),(119,1),(124,1),(228,1),(234,1),(358,1)}
        76:{1,4,6,7}:{(42,1),(43,1),(45,1),(102,1),(117,1),(120,1)}
        77:{3,4,6,7}:{(44,1),(45,1),(51,1),(103,1),(121,1),(131,1)}
        78:{2,5,7}:{(45,1),(104,1),(120,1),(121,1)}
        79:{3,4,6}:{(46,1),(122,1),(123,1),(124,1),(323,1)}
        80:{2,3,5,6}:{(46,1),(48,1),(115,1),(123,1),(125,1),(126,1),(220,1),(348,1),(356,1)}
        81:{3,5,7}:{(46,1),(47,1),(116,1),(124,1),(127,1)}
        82:{2,4,6,7}:{(47,1),(50,1),(127,1),(128,1),(130,1),(222,1),(239,1)}
        83:{1,5,6}:{(48,1),(118,1),(129,1),(337,1),(449,1)}
        84:{2,5,7}:{(48,1),(49,1),(119,1),(129,1),(130,1)}
        85:{1,3,6,7}:{(49,1),(50,1),(51,1),(127,1),(130,1),(339,1)}
        86:{1,5,6,7}:{(50,1),(52,1),(120,1),(128,1),(340,1),(360,1)}
        87:{3,5,6,7}:{(51,1),(52,1),(121,1),(131,1),(441,1),(458,1)}
        88:{2,3,6}:{(53,1),(132,1),(133,1),(134,1),(361,1),(465,1)}
        89:{1,3,4,6}:{(53,1),(56,1),(132,1),(135,1),(136,1),(137,1),(243,1),(246,1),(250,1),(252,1),(275,1),(361,1),(367,1),(368,1),(459,1)}
        90:{1,3,5}:{(53,1),(54,1),(57,1),(133,1),(137,1)}
        91:{1,3,7}:{(53,1),(55,1),(58,1),(134,1)}
        92:{1,2,4,5}:{(54,1),(59,1),(67,1),(137,1),(139,1),(150,1),(155,1),(241,1),(251,1),(262,1),(272,1),(291,1),(373,1),(375,1),(398,1),(463,1),(472,1),(486,1)}
        93:{1,2,5,7}:{(54,1),(55,1),(60,1),(138,1),(140,1),(242,1),(399,1)}
        94:{2,3,5}:{(56,1),(135,1),(142,1),(162,1),(261,1),(272,1)}
        95:{2,3,4,7}:{(56,1),(58,1),(136,1),(143,1),(145,1),(165,1),(255,1),(276,1),(460,1)}
        96:{2,4}:{(57,1),(137,1),(144,1)}
        97:{2,3,5,7}:{(57,1),(58,1),(60,1),(138,1),(145,1),(146,1),(148,1),(261,1)}
        98:{3,5}:{(59,1),(71,1),(144,1)}
        99:{2,4,5,7}:{(59,1),(60,1),(62,1),(72,1),(145,1),(148,1),(149,1),(170,1),(261,1),(290,1),(380,1)}
       100:{2,6}:{(60,1),(63,1)}
       101:{2,4,5}:{(61,1),(74,1),(147,1),(150,1),(251,1),(262,1),(272,1)}
       102:{1,4,6}:{(62,1),(63,1),(65,1),(149,1),(151,1)}
       103:{3,4,6}:{(64,1),(65,1),(152,1),(389,1),(483,1)}
       104:{2,5,6}:{(65,1),(78,1),(151,1),(152,1),(369,1)}
       105:{2,3,5,6}:{(66,1),(133,1),(153,1),(154,1),(159,1),(178,1),(240,1),(245,1),(265,1),(272,1),(295,1),(361,1),(369,1),(389,1),(390,1),(400,1),(404,1),(464,1),(490,1),(492,1),(533,1)}
       106:{1,4,6}:{(66,1),(69,1),(137,1),(153,1),(155,1),(157,1),(486,1)}
       107:{1,3,5,7}:{(66,1),(68,1),(70,1),(154,1),(157,1),(158,1),(160,1),(277,1),(279,1),(399,1)}
       108:{1,3,6}:{(67,1),(71,1),(139,1),(159,1),(160,1),(295,1),(361,1),(520,1)}
       109:{1,2,4,7}:{(67,1),(68,1),(72,1),(157,1),(160,1),(171,1),(276,1),(289,1),(296,1),(362,1),(467,1),(518,1),(521,1)}
       110:{1,2,6,7}:{(68,1),(73,1),(140,1),(158,1),(182,1),(300,1),(363,1),(400,1),(485,1),(488,1),(529,1)}
       111:{2,4,5}:{(69,1),(155,1),(162,1),(261,1),(272,1),(380,1),(547,1),(552,1)}
       112:{3,4,6}:{(69,1),(71,1),(144,1),(162,1),(165,1),(284,1),(520,1),(525,1)}
       113:{2,4,7}:{(69,1),(70,1),(157,1),(165,1),(290,1),(551,1)}
       114:{2,3,6,7}:{(70,1),(73,1),(146,1),(158,1),(166,1),(169,1),(284,1),(400,1),(529,1),(531,1),(543,1)}
       115:{2,3,6}:{(71,1),(74,1),(147,1),(167,1),(168,1),(295,1)}
       116:{3,7}:{(71,1),(72,1)}
       117:{2,4,6,7}:{(72,1),(73,1),(76,1),(149,1),(169,1),(170,1),(290,1)}
       118:{1,4,6}:{(74,1),(83,1),(150,1),(167,1),(171,1)}
       119:{2,4,7}:{(74,1),(75,1),(84,1),(168,1),(171,1),(289,1)}
       120:{1,5,7}:{(76,1),(78,1),(151,1),(170,1)}
       121:{3,5,7}:{(77,1),(78,1),(152,1),(172,1)}
       122:{3,4,5}:{(79,1),(162,1),(173,1),(380,1),(525,1)}
       123:{2,4,6}:{(79,1),(80,1),(173,1),(175,1),(176,1)}
       124:{3,4,7}:{(79,1),(81,1),(176,1),(290,1)}
       125:{1,3,5,6}:{(80,1),(83,1),(167,1),(175,1),(178,1),(179,1),(282,1),(295,1),(406,1),(412,1),(492,1)}
       126:{2,3,5,7}:{(80,1),(81,1),(84,1),(168,1),(176,1),(179,1),(180,1),(298,1)}
       127:{3,6,7}:{(81,1),(82,1),(284,1)}
       128:{2,5,6,7}:{(82,1),(86,1),(170,1),(181,1),(285,1),(298,1)}
       129:{1,5,7}:{(83,1),(84,1),(171,1),(182,1)}
       130:{2,6,7}:{(84,1),(85,1),(182,1),(400,1)}
       131:{4,6,7}:{(87,1),(172,1),(483,1),(493,1)}
       132:{2,4,6}:{(88,1),(89,1),(183,1),(184,1),(185,1),(305,1),(421,1),(494,1)}
       133:{2,3,5}:{(88,1),(90,1),(183,1),(185,1),(303,1)}
       134:{2,3,7}:{(88,1),(91,1),(184,1),(416,1)}
       135:{1,3,5}:{(89,1),(94,1),(183,1),(188,1),(303,1),(315,1),(337,1),(422,1)}
       136:{1,3,4,7}:{(89,1),(91,1),(95,1),(184,1),(189,1),(191,1),(307,1),(310,1),(342,1),(416,1),(495,1)}
       137:{1,4}:{(90,1),(96,1),(185,1)}
       138:{1,3,5,7}:{(90,1),(91,1),(93,1),(97,1),(186,1),(191,1),(192,1),(315,1)}
       139:{1,3,5}:{(92,1),(98,1),(108,1),(190,1),(193,1),(303,1),(353,1),(426,1),(502,1)}
       140:{1,2,6}:{(93,1),(100,1),(192,1),(305,1),(449,1)}
       141:{2,3,5,6}:{(94,1),(187,1),(194,1),(195,1),(198,1),(218,1),(320,1),(334,1),(415,1)}
       142:{2,4,5}:{(94,1),(96,1),(188,1),(194,1),(196,1)}
       143:{2,3,5,7}:{(94,1),(95,1),(189,1),(197,1),(198,1),(221,1),(338,1)}
       144:{3,4}:{(96,1),(98,1)}
       145:{2,4,7}:{(96,1),(97,1),(191,1),(200,1),(201,1)}
       146:{2,3,6}:{(97,1),(100,1),(192,1),(201,1),(203,1)}
       147:{2,3,5}:{(98,1),(101,1),(115,1),(199,1),(202,1),(353,1)}
       148:{3,5,7}:{(98,1),(99,1),(116,1),(200,1),(203,1),(322,1)}
       149:{2,4,6}:{(99,1),(100,1),(102,1),(203,1),(204,1),(323,1)}
       150:{1,4,5}:{(101,1),(118,1),(202,1),(314,1),(337,1)}
       151:{1,5,6}:{(102,1),(104,1),(120,1),(204,1),(315,1)}
       152:{3,5,6}:{(103,1),(104,1),(121,1),(205,1),(422,1)}
       153:{2,4,6}:{(105,1),(106,1),(185,1),(206,1),(207,1),(208,1),(452,1),(497,1),(517,1)}
       154:{2,3,5,7}:{(105,1),(107,1),(208,1),(209,1),(217,1),(237,1),(302,1),(328,1),(333,1),(338,1),(358,1),(416,1),(458,1),(496,1)}
       155:{1,4,5}:{(106,1),(111,1),(206,1),(211,1),(315,1),(337,1),(542,1)}
       156:{1,3,4,6}:{(106,1),(108,1),(112,1),(190,1),(207,1),(211,1),(213,1),(214,1),(339,1)}
       157:{1,4,7}:{(106,1),(107,1),(113,1),(208,1)}
       158:{1,3,6,7}:{(107,1),(110,1),(114,1),(192,1),(209,1),(215,1),(339,1),(449,1),(514,1)}
       159:{2,3,6}:{(108,1),(193,1),(213,1),(216,1),(217,1),(227,1),(494,1)}
       160:{1,3,7}:{(108,1),(109,1),(116,1),(217,1),(358,1),(416,1),(535,1)}
       161:{2,4,5,6}:{(111,1),(194,1),(210,1),(218,1),(219,1),(222,1),(320,1),(334,1),(428,1),(498,1),(540,1),(550,1)}
       162:{3,5}:{(111,1),(112,1)}
       163:{2,4,5,7}:{(111,1),(113,1),(212,1),(221,1),(222,1),(226,1),(338,1),(352,1)}
       164:{2,3,4,6}:{(112,1),(115,1),(123,1),(199,1),(213,1),(220,1),(223,1),(224,1),(348,1),(442,1),(510,1),(541,1)}
       165:{3,4,7}:{(112,1),(113,1),(116,1),(221,1),(535,1)}
       166:{2,4,6,7}:{(113,1),(114,1),(201,1),(215,1),(222,1),(225,1),(226,1),(541,1)}
       167:{1,3,6}:{(115,1),(118,1),(202,1),(227,1),(228,1)}
       168:{2,3,7}:{(115,1),(116,1),(119,1),(228,1),(358,1)}
       169:{3,6,7}:{(116,1),(117,1),(203,1),(229,1)}
       170:{2,5,7}:{(117,1),(120,1),(204,1),(229,1)}
       171:{1,4,7}:{(118,1),(119,1),(129,1),(228,1)}
       172:{4,5,7}:{(121,1),(131,1),(205,1)}
       173:{2,4,5}:{(122,1),(123,1),(220,1),(230,1),(510,1)}
       174:{3,4,5,7}:{(122,1),(124,1),(221,1),(231,1),(232,1),(236,1),(352,1),(538,1),(549,1)}
       175:{1,4,6}:{(123,1),(125,1),(230,1),(233,1),(234,1),(517,1)}
       176:{2,4,7}:{(123,1),(124,1),(126,1),(234,1)}
       177:{3,4,6,7}:{(124,1),(127,1),(232,1),(235,1),(236,1),(239,1)}
       178:{2,5,6}:{(125,1),(227,1),(233,1),(237,1),(346,1),(454,1)}
       179:{1,3,5,7}:{(125,1),(126,1),(129,1),(228,1),(234,1),(237,1),(238,1),(358,1),(360,1),(458,1)}
       180:{2,3,6,7}:{(126,1),(127,1),(130,1),(235,1),(238,1),(348,1)}
       181:{3,5,6,7}:{(127,1),(128,1),(229,1),(236,1),(239,1),(349,1)}
       182:{1,6,7}:{(129,1),(130,1),(449,1)}
       183:{2,5}:{(132,1),(135,1)}
       184:{2,4,7}:{(132,1),(134,1),(136,1),(242,1),(518,1)}
       185:{2,4}:{(133,1),(137,1),(243,1)}
       186:{2,3,5,7}:{(133,1),(134,1),(138,1),(242,1),(244,1),(245,1),(365,1),(369,1)}
       187:{1,3,5,6}:{(135,1),(141,1),(240,1),(246,1),(247,1),(250,1),(361,1),(374,1),(394,1),(459,1),(464,1)}
       188:{1,4,5}:{(135,1),(137,1),(142,1),(241,1),(246,1),(466,1)}
       189:{1,3,5,7}:{(135,1),(136,1),(143,1),(242,1),(249,1),(250,1),(365,1),(399,1)}
       190:{1,3,4}:{(137,1),(139,1),(144,1),(243,1),(251,1),(409,1),(486,1),(525,1)}
       191:{1,4,7}:{(137,1),(138,1),(145,1),(244,1),(252,1)}
       192:{1,3,6}:{(138,1),(140,1),(146,1),(245,1),(252,1)}
       193:{2,3,5}:{(139,1),(159,1),(251,1),(253,1),(262,1),(272,1),(379,1),(463,1),(465,1)}
       194:{2,4,6}:{(141,1),(142,1),(246,1),(254,1),(255,1)}
       195:{2,3,5,7}:{(141,1),(247,1),(255,1),(256,1),(280,1),(377,1),(395,1),(460,1)}
       196:{3,4,5}:{(142,1),(144,1),(162,1),(254,1),(552,1)}
       197:{2,4,5,7}:{(142,1),(143,1),(145,1),(249,1),(255,1),(257,1),(258,1),(261,1),(377,1)}
       198:{2,3,6}:{(143,1),(250,1),(258,1),(284,1),(400,1)}
       199:{2,3,4}:{(144,1),(147,1),(251,1),(259,1),(409,1),(465,1)}
       200:{3,4,7}:{(144,1),(145,1),(148,1),(260,1),(290,1)}
       201:{2,4,6}:{(145,1),(146,1),(252,1),(260,1),(261,1)}
       202:{1,3,5}:{(147,1),(150,1),(167,1),(259,1),(262,1)}
       203:{3,6}:{(148,1),(149,1)}
       204:{2,5,6}:{(149,1),(151,1),(170,1),(261,1),(263,1)}
       205:{4,5,6}:{(152,1),(172,1),(466,1),(483,1)}
       206:{2,4,5}:{(153,1),(155,1),(265,1),(272,1),(369,1),(466,1),(533,1),(534,1)}
       207:{3,4,6}:{(153,1),(243,1),(265,1),(268,1),(295,1),(361,1),(389,1),(409,1)}
       208:{2,4,7}:{(153,1),(154,1),(157,1),(268,1),(493,1),(519,1)}
       209:{2,3,6,7}:{(154,1),(158,1),(245,1),(269,1),(300,1),(363,1),(389,1),(400,1),(413,1),(461,1),(490,1)}
       210:{1,4,5,6}:{(155,1),(161,1),(246,1),(264,1),(270,1),(271,1),(274,1),(374,1),(394,1),(469,1),(528,1)}
       211:{1,3,5}:{(155,1),(156,1),(162,1),(265,1),(272,1)}
       212:{1,4,5,7}:{(155,1),(157,1),(163,1),(266,1),(273,1),(274,1),(277,1),(399,1)}
       213:{2,4,6}:{(156,1),(159,1),(251,1),(272,1),(275,1),(276,1),(400,1)}
       214:{1,3,4,7}:{(156,1),(157,1),(160,1),(165,1),(268,1),(273,1),(276,1)}
       215:{1,4,6,7}:{(157,1),(158,1),(166,1),(252,1),(269,1),(274,1),(277,1),(532,1)}
       216:{1,3,6}:{(159,1),(253,1),(275,1),(278,1),(279,1)}
       217:{2,3,7}:{(159,1),(160,1),(276,1),(279,1),(289,1),(518,1)}
       218:{3,5,6}:{(161,1),(162,1),(254,1),(280,1),(284,1),(520,1)}
       219:{2,4,5,7}:{(161,1),(255,1),(271,1),(280,1),(281,1),(377,1),(395,1),(468,1),(521,1),(544,1),(551,1)}
       220:{2,3,5}:{(162,1),(164,1),(173,1),(272,1),(282,1),(547,1)}
       221:{3,5,7}:{(162,1),(163,1),(165,1),(284,1)}
       222:{2,4,6}:{(163,1),(274,1),(284,1),(285,1),(400,1),(407,1)}
       223:{1,3,4,6}:{(164,1),(167,1),(175,1),(259,1),(275,1),(282,1),(286,1),(287,1),(295,1),(401,1),(406,1),(409,1),(486,1),(491,1),(532,1)}
       224:{2,3,4,7}:{(164,1),(165,1),(168,1),(176,1),(276,1),(283,1),(287,1),(484,1),(530,1)}
       225:{3,4,6,7}:{(165,1),(166,1),(169,1),(260,1),(284,1),(288,1),(290,1),(407,1),(543,1),(545,1),(551,1)}
       226:{2,5,7}:{(166,1),(261,1),(277,1),(285,1),(288,1),(547,1)}
       227:{2,6}:{(167,1),(262,1),(289,1)}
       228:{1,3,7}:{(167,1),(168,1),(171,1),(289,1)}
       229:{3,5,7}:{(169,1),(170,1),(263,1),(290,1)}
       230:{1,4,5}:{(173,1),(175,1),(282,1),(291,1),(486,1),(534,1)}
       231:{2,4,5,7}:{(173,1),(174,1),(176,1),(283,1),(292,1),(293,1),(298,1),(530,1),(547,1)}
       232:{3,4,6}:{(174,1),(284,1),(293,1),(294,1),(407,1)}
       233:{2,4,6}:{(175,1),(178,1),(291,1),(295,1),(296,1)}
       234:{1,4,7}:{(175,1),(176,1),(179,1),(296,1),(493,1)}
       235:{2,4,6,7}:{(176,1),(177,1),(180,1),(293,1),(297,1),(298,1)}
       236:{3,5,7}:{(177,1),(294,1),(298,1),(299,1)}
       237:{2,5,7}:{(178,1),(179,1),(289,1),(296,1),(300,1)}
       238:{1,3,6,7}:{(179,1),(180,1),(182,1),(297,1),(300,1),(406,1),(413,1)}
       239:{4,6,7}:{(181,1),(290,1),(299,1),(407,1)}
       240:{2,5,6}:{(183,1),(187,1),(301,1),(302,1),(305,1),(494,1)}
       241:{2,4,5}:{(183,1),(185,1),(188,1),(301,1),(303,1)}
       242:{2,5,7}:{(183,1),(184,1),(189,1),(305,1)}
       243:{3,4}:{(185,1),(303,1)}
       244:{2,4,7}:{(185,1),(186,1),(191,1),(307,1),(308,1)}
       245:{2,3,6}:{(186,1),(192,1),(305,1),(308,1),(419,1)}
       246:{1,4,6}:{(187,1),(188,1),(194,1),(301,1),(310,1),(497,1)}
       247:{1,3,5,7}:{(187,1),(195,1),(302,1),(310,1),(311,1),(416,1),(425,1),(445,1),(495,1),(496,1)}
       248:{1,3,4,5}:{(188,1),(190,1),(196,1),(211,1),(303,1),(309,1),(312,1),(324,1),(418,1),(431,1),(502,1)}
       249:{1,4,5,7}:{(188,1),(189,1),(191,1),(197,1),(304,1),(310,1),(313,1),(315,1),(425,1)}
       250:{1,3,6}:{(189,1),(198,1),(305,1),(313,1),(419,1),(449,1)}
       251:{2,4}:{(190,1),(193,1),(314,1)}
       252:{1,4,6}:{(191,1),(192,1),(201,1),(308,1),(315,1)}
       253:{1,3,5}:{(193,1),(216,1),(314,1),(316,1),(337,1),(426,1)}
       254:{3,4,6}:{(194,1),(196,1),(218,1),(317,1),(550,1)}
       255:{2,4,7}:{(194,1),(195,1),(310,1),(317,1)}
       256:{2,3,6,7}:{(195,1),(198,1),(311,1),(318,1),(344,1),(446,1)}
       257:{3,4,5,7}:{(196,1),(197,1),(200,1),(221,1),(317,1),(319,1),(322,1),(352,1),(427,1)}
       258:{2,4,6}:{(197,1),(198,1),(313,1),(319,1),(320,1)}
       259:{1,3,4}:{(199,1),(202,1),(314,1),(321,1),(426,1)}
       260:{3,4,6}:{(200,1),(201,1),(203,1),(322,1),(323,1)}
       261:{2,5}:{(201,1),(315,1),(322,1)}
       262:{2,5}:{(202,1),(227,1),(321,1)}
       263:{3,5,6}:{(203,1),(204,1),(229,1),(322,1),(323,1)}
       264:{2,4,5,6}:{(206,1),(210,1),(301,1),(325,1),(326,1),(329,1),(334,1),(420,1),(429,1),(497,1),(505,1),(506,1)}
       265:{3,5}:{(206,1),(207,1)}
       266:{2,4,5,7}:{(206,1),(208,1),(212,1),(328,1),(329,1),(333,1),(338,1),(444,1)}
       267:{2,3,4,6}:{(207,1),(213,1),(306,1),(327,1),(330,1),(331,1),(350,1),(415,1),(429,1),(440,1),(452,1),(515,1)}
       268:{3,4,7}:{(207,1),(208,1),(328,1),(358,1),(416,1)}
       269:{2,4,6,7}:{(208,1),(209,1),(215,1),(308,1),(329,1),(332,1),(333,1),(515,1)}
       270:{1,3,5,6}:{(210,1),(211,1),(218,1),(309,1),(325,1),(334,1),(335,1),(339,1)}
       271:{1,4,5,7}:{(210,1),(219,1),(310,1),(326,1),(335,1),(336,1),(425,1),(445,1),(499,1),(537,1)}
       272:{2,5}:{(211,1),(213,1),(337,1)}
       273:{1,3,5,7}:{(211,1),(212,1),(214,1),(221,1),(328,1),(338,1),(339,1)}
       274:{1,4,6}:{(212,1),(222,1),(329,1),(339,1),(340,1),(449,1)}
       275:{1,4,6}:{(213,1),(216,1),(314,1),(337,1),(342,1),(449,1)}
       276:{2,4,7}:{(213,1),(214,1),(217,1),(338,1),(342,1)}
       277:{1,5,7}:{(215,1),(226,1),(315,1),(333,1),(340,1),(542,1)}
       278:{1,2,6}:{(216,1),(227,1),(316,1),(343,1),(494,1)}
       279:{1,3,7}:{(216,1),(217,1),(342,1),(343,1)}
       280:{3,5,7}:{(218,1),(219,1),(317,1),(344,1),(535,1)}
       281:{2,4,6,7}:{(219,1),(222,1),(336,1),(344,1),(345,1),(446,1),(451,1)}
       282:{1,3,5}:{(220,1),(223,1),(230,1),(337,1),(346,1),(353,1),(516,1),(542,1)}
       283:{2,3,5,7}:{(220,1),(221,1),(224,1),(231,1),(338,1),(347,1),(348,1)}
       284:{3,6}:{(221,1),(222,1)}
       285:{2,5,6}:{(222,1),(226,1),(340,1),(349,1)}
       286:{2,4,6}:{(223,1),(227,1),(321,1),(346,1),(350,1),(351,1),(452,1),(454,1)}
       287:{1,3,4,7}:{(223,1),(224,1),(228,1),(234,1),(342,1),(347,1),(351,1),(358,1),(450,1),(455,1),(513,1)}
       288:{3,5,7}:{(225,1),(226,1),(322,1),(349,1),(352,1),(549,1)}
       289:{2,7}:{(227,1),(228,1)}
       290:{4,7}:{(229,1),(323,1)}
       291:{2,4,5}:{(230,1),(233,1),(346,1),(353,1),(452,1)}
       292:{1,4,5,7}:{(230,1),(231,1),(234,1),(347,1),(354,1),(355,1),(360,1),(513,1),(542,1)}
       293:{2,4,6}:{(231,1),(232,1),(348,1),(355,1),(356,1)}
       294:{3,5,6}:{(232,1),(236,1),(356,1),(357,1),(549,1)}
       295:{3,6}:{(233,1),(353,1),(358,1)}
       296:{2,4,7}:{(233,1),(234,1),(237,1),(358,1)}
       297:{1,4,6,7}:{(234,1),(235,1),(238,1),(355,1),(359,1),(360,1)}
       298:{2,5,7}:{(235,1),(236,1),(356,1),(360,1)}
       299:{4,5,7}:{(236,1),(239,1),(357,1)}
       300:{2,6,7}:{(237,1),(238,1),(454,1)}
       301:{2,4,6}:{(240,1),(241,1),(246,1),(361,1),(362,1)}
       302:{2,5,7}:{(240,1),(247,1),(362,1),(363,1),(518,1)}
       303:{3,5}:{(241,1),(243,1),(361,1)}
       304:{2,4,5,7}:{(241,1),(242,1),(244,1),(249,1),(362,1),(365,1),(366,1),(369,1),(462,1),(466,1),(519,1)}
       305:{2,6}:{(242,1),(250,1)}
       306:{2,3,4}:{(243,1),(251,1),(364,1),(367,1),(379,1),(525,1)}
       307:{3,4,7}:{(243,1),(244,1),(365,1),(368,1),(519,1)}
       308:{2,4,6}:{(244,1),(245,1),(252,1),(368,1),(369,1)}
       309:{1,3,4,6}:{(246,1),(248,1),(254,1),(270,1),(361,1),(370,1),(371,1),(381,1),(459,1),(469,1),(520,1)}
       310:{1,4,7}:{(246,1),(247,1),(255,1),(362,1),(519,1)}
       311:{1,3,6,7}:{(247,1),(250,1),(256,1),(363,1),(372,1),(461,1),(485,1)}
       312:{2,4,5}:{(248,1),(251,1),(272,1),(364,1),(370,1),(373,1),(463,1)}
       313:{1,4,6}:{(249,1),(250,1),(258,1),(366,1),(374,1)}
       314:{1,4}:{(251,1),(253,1)}
       315:{1,5}:{(252,1),(261,1),(369,1)}
       316:{1,2,5}:{(253,1),(262,1),(278,1),(375,1),(463,1)}
       317:{3,4,7}:{(254,1),(255,1),(280,1),(551,1)}
       318:{2,4,6,7}:{(255,1),(256,1),(258,1),(372,1),(376,1),(377,1)}
       319:{3,4,6}:{(257,1),(258,1),(284,1),(378,1),(407,1)}
       320:{2,5,6}:{(258,1),(261,1),(374,1),(377,1),(378,1)}
       321:{2,4}:{(259,1),(262,1),(379,1)}
       322:{3,5}:{(260,1),(261,1),(380,1)}
       323:{4,6}:{(263,1),(290,1),(380,1)}
       324:{3,4,5}:{(265,1),(381,1),(382,1),(409,1),(466,1)}
       325:{3,5,6}:{(264,1),(265,1),(361,1),(381,1),(385,1),(389,1)}
       326:{2,4,5,7}:{(264,1),(271,1),(362,1),(385,1),(386,1),(395,1),(462,1),(470,1),(519,1),(523,1),(524,1)}
       327:{2,3,5}:{(265,1),(267,1),(272,1),(382,1),(387,1),(533,1)}
       328:{3,5,7}:{(265,1),(266,1),(268,1),(389,1)}
       329:{2,4,6}:{(266,1),(274,1),(389,1),(390,1),(400,1),(483,1)}
       330:{1,3,4,6}:{(267,1),(275,1),(367,1),(387,1),(391,1),(392,1),(401,1),(459,1),(469,1),(482,1),(486,1),(520,1),(525,1),(532,1),(545,1)}
       331:{2,3,4,7}:{(267,1),(268,1),(276,1),(388,1),(392,1),(408,1),(460,1),(470,1),(489,1)}
       332:{3,4,6,7}:{(268,1),(269,1),(368,1),(389,1),(393,1),(413,1),(461,1),(483,1),(491,1),(493,1),(519,1)}
       333:{2,5,7}:{(269,1),(277,1),(369,1),(390,1),(393,1),(533,1)}
       334:{2,5,6}:{(270,1),(272,1),(370,1),(394,1),(395,1),(400,1)}
       335:{1,3,5,7}:{(270,1),(271,1),(280,1),(371,1),(385,1),(395,1),(396,1)}
       336:{1,4,6,7}:{(271,1),(274,1),(281,1),(386,1),(396,1),(397,1),(485,1)}
       337:{1,5}:{(272,1),(275,1)}
       338:{2,5,7}:{(272,1),(273,1),(276,1),(399,1),(400,1)}
       339:{1,3,6}:{(273,1),(274,1),(284,1),(389,1),(400,1)}
       340:{1,5,6}:{(274,1),(277,1),(285,1),(390,1)}
       341:{1,2,4,6}:{(275,1),(278,1),(286,1),(375,1),(391,1),(398,1),(401,1),(402,1),(486,1),(488,1),(532,1)}
       342:{1,4,7}:{(275,1),(276,1),(279,1),(399,1)}
       343:{1,2,7}:{(278,1),(279,1),(289,1),(518,1)}
       344:{3,6,7}:{(280,1),(281,1),(284,1)}
       345:{2,5,6,7}:{(281,1),(285,1),(377,1),(397,1),(403,1),(544,1)}
       346:{2,5}:{(282,1),(286,1)}
       347:{1,3,5,7}:{(282,1),(283,1),(287,1),(292,1),(399,1),(405,1),(406,1),(410,1)}
       348:{2,3,6}:{(283,1),(284,1),(293,1),(400,1),(406,1)}
       349:{3,5,6}:{(284,1),(285,1),(288,1),(407,1)}
       350:{2,3,6}:{(286,1),(295,1),(379,1),(401,1),(404,1),(408,1)}
       351:{2,4,7}:{(286,1),(287,1),(289,1),(405,1),(408,1)}
       352:{4,5,7}:{(288,1),(290,1),(380,1),(407,1),(551,1),(552,1)}
       353:{3,5}:{(291,1),(295,1),(409,1)}
       354:{2,4,5,7}:{(291,1),(292,1),(296,1),(405,1),(410,1),(411,1),(414,1),(489,1),(493,1),(533,1),(534,1)}
       355:{1,4,6}:{(292,1),(293,1),(406,1),(411,1),(412,1)}
       356:{2,5,6}:{(293,1),(294,1),(298,1),(412,1),(547,1)}
       357:{4,5,6}:{(294,1),(299,1),(407,1),(552,1)}
       358:{3,7}:{(295,1),(296,1)}
       359:{2,4,6,7}:{(296,1),(297,1),(300,1),(411,1),(413,1),(414,1),(493,1)}
       360:{1,5,7}:{(297,1),(298,1),(412,1),(414,1)}
       361:{3,6}:{(301,1),(303,1),(416,1)}
       362:{2,4,7}:{(301,1),(302,1),(310,1),(416,1)}
       363:{2,6,7}:{(302,1),(305,1),(311,1)}
       364:{2,3,5}:{(303,1),(306,1),(312,1),(415,1),(418,1),(502,1)}
       365:{3,5,7}:{(303,1),(304,1),(307,1),(416,1),(419,1),(422,1)}
       366:{2,4,6}:{(304,1),(305,1),(313,1),(419,1),(420,1),(497,1)}
       367:{1,3,4}:{(306,1),(314,1),(418,1),(421,1),(426,1)}
       368:{3,4,6}:{(307,1),(308,1),(419,1),(422,1),(497,1)}
       369:{2,5}:{(308,1),(315,1),(422,1)}
       370:{2,4,6}:{(309,1),(312,1),(334,1),(415,1),(423,1),(424,1),(494,1)}
       371:{1,3,4,7}:{(309,1),(310,1),(317,1),(335,1),(416,1),(424,1),(430,1),(495,1),(499,1),(535,1)}
       372:{1,4,6,7}:{(310,1),(311,1),(313,1),(318,1),(417,1),(425,1)}
       373:{1,4,5}:{(312,1),(314,1),(337,1),(418,1),(423,1)}
       374:{1,5,6}:{(313,1),(315,1),(320,1),(420,1),(425,1)}
       375:{1,2,4}:{(314,1),(316,1),(321,1),(421,1),(426,1)}
       376:{3,4,6,7}:{(317,1),(318,1),(319,1),(344,1),(427,1),(451,1)}
       377:{2,5,7}:{(318,1),(320,1),(425,1),(427,1)}
       378:{3,5,6}:{(319,1),(320,1),(322,1),(427,1),(428,1)}
       379:{2,3}:{(321,1),(426,1)}
       380:{4,5}:{(322,1),(323,1)}
       381:{3,4,6}:{(324,1),(325,1),(429,1),(430,1),(497,1)}
       382:{2,4,5}:{(324,1),(327,1),(429,1),(431,1),(452,1)}
       383:{3,4,5,7}:{(324,1),(328,1),(430,1),(432,1),(433,1),(444,1),(455,1),(501,1),(516,1)}
       384:{2,3,5,6}:{(325,1),(327,1),(334,1),(415,1),(429,1),(434,1),(435,1),(440,1),(505,1)}
       385:{3,5,7}:{(325,1),(326,1),(416,1),(430,1),(436,1)}
       386:{2,4,6,7}:{(326,1),(329,1),(336,1),(436,1),(437,1),(446,1),(509,1)}
       387:{1,3,5}:{(327,1),(330,1),(337,1),(431,1),(438,1),(502,1),(542,1),(549,1)}
       388:{2,3,5,7}:{(327,1),(328,1),(331,1),(338,1),(432,1),(439,1),(440,1)}
       389:{3,6}:{(328,1),(329,1)}
       390:{2,5,6}:{(329,1),(333,1),(340,1),(441,1)}
       391:{2,4,6}:{(330,1),(421,1),(438,1),(442,1),(443,1),(494,1),(510,1),(512,1)}
       392:{1,3,4,7}:{(330,1),(331,1),(342,1),(439,1),(443,1),(450,1),(495,1),(499,1),(513,1),(535,1),(538,1)}
       393:{3,5,7}:{(332,1),(333,1),(422,1),(441,1),(444,1),(516,1)}
       394:{1,5,6}:{(334,1),(337,1),(423,1),(445,1),(449,1)}
       395:{2,5,7}:{(334,1),(335,1),(424,1),(445,1),(446,1)}
       396:{1,3,6,7}:{(335,1),(336,1),(339,1),(344,1),(436,1),(446,1)}
       397:{1,5,6,7}:{(336,1),(340,1),(345,1),(425,1),(437,1),(537,1)}
       398:{1,2,5}:{(337,1),(341,1),(346,1),(438,1),(447,1),(542,1)}
       399:{1,5,7}:{(337,1),(338,1),(342,1),(449,1)}
       400:{2,6}:{(338,1),(339,1),(449,1)}
       401:{1,3,6}:{(341,1),(350,1),(426,1),(442,1),(447,1),(450,1)}
       402:{1,2,4,7}:{(341,1),(342,1),(343,1),(351,1),(443,1),(448,1),(450,1),(513,1)}
       403:{3,5,6,7}:{(344,1),(345,1),(349,1),(427,1),(451,1),(548,1)}
       404:{2,3,5}:{(346,1),(350,1),(353,1),(447,1),(452,1)}
       405:{2,5,7}:{(346,1),(347,1),(351,1),(454,1)}
       406:{1,3,6}:{(347,1),(348,1),(355,1),(449,1),(454,1),(456,1)}
       407:{4,6}:{(349,1),(352,1)}
       408:{2,3,7}:{(350,1),(351,1),(358,1),(450,1)}
       409:{3,4}:{(353,1),(452,1)}
       410:{3,5,7}:{(353,1),(354,1),(358,1),(455,1),(456,1),(516,1)}
       411:{2,4,6}:{(354,1),(355,1),(454,1),(456,1),(457,1),(517,1)}
       412:{1,5,6}:{(355,1),(356,1),(360,1),(457,1),(542,1)}
       413:{3,6,7}:{(358,1),(359,1),(456,1),(458,1)}
       414:{2,5,7}:{(359,1),(360,1),(457,1),(458,1)}
       415:{2,3,6}:{(361,1),(364,1),(370,1),(459,1),(460,1),(520,1)}
       416:{3,7}:{(361,1),(362,1)}
       417:{2,4,6,7}:{(362,1),(363,1),(366,1),(372,1),(461,1),(462,1),(519,1)}
       418:{1,3,5}:{(364,1),(367,1),(373,1),(459,1),(463,1)}
       419:{3,6}:{(365,1),(366,1)}
       420:{2,5,6}:{(366,1),(369,1),(374,1),(462,1),(464,1)}
       421:{2,4}:{(367,1),(463,1),(465,1)}
       422:{3,5}:{(368,1),(369,1),(466,1)}
       423:{1,4,6}:{(370,1),(373,1),(394,1),(459,1),(467,1)}
       424:{2,4,7}:{(370,1),(371,1),(395,1),(460,1),(467,1),(518,1)}
       425:{1,5,7}:{(372,1),(374,1),(377,1),(462,1)}
       426:{1,3}:{(375,1),(379,1),(465,1)}
       427:{3,5,7}:{(376,1),(377,1),(378,1),(468,1)}
       428:{4,5,6}:{(378,1),(380,1),(407,1),(468,1)}
       429:{2,4,6}:{(381,1),(382,1),(384,1),(469,1),(470,1)}
       430:{3,4,7}:{(381,1),(385,1),(470,1),(519,1)}
       431:{1,4,5}:{(382,1),(387,1),(469,1),(472,1),(486,1),(552,1)}
       432:{2,4,5,7}:{(382,1),(383,1),(388,1),(470,1),(473,1),(474,1),(489,1),(523,1),(533,1)}
       433:{3,4,6}:{(383,1),(389,1),(474,1),(475,1),(483,1)}
       434:{1,3,5,6}:{(384,1),(387,1),(394,1),(459,1),(469,1),(476,1),(477,1),(482,1),(520,1),(528,1),(546,1)}
       435:{2,3,5,7}:{(384,1),(385,1),(395,1),(460,1),(470,1),(477,1),(478,1),(523,1)}
       436:{3,6,7}:{(385,1),(386,1),(389,1)}
       437:{2,5,6,7}:{(386,1),(390,1),(397,1),(462,1),(479,1),(523,1)}
       438:{2,5}:{(387,1),(391,1)}
       439:{1,3,5,7}:{(387,1),(388,1),(392,1),(399,1),(473,1),(481,1),(482,1),(526,1)}
       440:{2,3,6}:{(388,1),(389,1),(400,1),(474,1),(482,1)}
       441:{3,5,6}:{(389,1),(390,1),(393,1),(483,1)}
       442:{2,3,6}:{(391,1),(401,1),(465,1),(480,1),(484,1),(520,1)}
       443:{2,4,7}:{(391,1),(392,1),(481,1),(484,1),(518,1)}
       444:{4,5,7}:{(393,1),(466,1),(483,1),(493,1),(519,1),(534,1)}
       445:{1,5,7}:{(394,1),(395,1),(467,1),(485,1)}
       446:{2,6,7}:{(395,1),(396,1),(400,1),(485,1)}
       447:{1,3,5}:{(398,1),(401,1),(404,1),(480,1),(486,1)}
       448:{1,2,5,7}:{(398,1),(399,1),(402,1),(405,1),(481,1),(487,1),(488,1)}
       449:{1,6}:{(399,1),(400,1)}
       450:{1,3,7}:{(401,1),(402,1),(408,1),(484,1)}
       451:{4,6,7}:{(403,1),(407,1),(468,1),(551,1)}
       452:{2,4}:{(404,1),(409,1),(486,1)}
       453:{2,3,5,7}:{(404,1),(405,1),(408,1),(410,1),(487,1),(489,1),(490,1),(533,1)}
       454:{2,6}:{(405,1),(406,1)}
       455:{3,4,7}:{(409,1),(410,1),(489,1),(491,1),(493,1)}
       456:{3,6}:{(410,1),(411,1)}
       457:{2,5,6}:{(411,1),(412,1),(414,1),(492,1),(533,1)}
       458:{3,5,7}:{(413,1),(414,1),(492,1),(493,1)}
       459:{1,3,6}:{(415,1),(418,1),(423,1),(494,1),(495,1)}
       460:{2,3,7}:{(415,1),(416,1),(424,1),(495,1),(535,1)}
       461:{3,6,7}:{(416,1),(417,1),(419,1),(496,1)}
       462:{2,5,7}:{(417,1),(420,1),(425,1),(496,1)}
       463:{2,5}:{(418,1),(421,1),(494,1)}
       464:{3,5,6}:{(419,1),(420,1),(422,1),(496,1),(497,1)}
       465:{2,3}:{(421,1),(426,1)}
       466:{4,5}:{(422,1),(497,1)}
       467:{1,4,7}:{(423,1),(424,1),(445,1),(495,1)}
       468:{4,5,7}:{(427,1),(428,1),(451,1)}
       469:{1,4,6}:{(429,1),(431,1),(434,1),(498,1),(499,1),(550,1)}
       470:{2,4,7}:{(429,1),(430,1),(435,1),(499,1)}
       471:{3,4,6,7}:{(430,1),(433,1),(436,1),(500,1),(501,1),(509,1)}
       472:{2,4,5}:{(431,1),(438,1),(498,1),(502,1),(510,1)}
       473:{1,4,5,7}:{(431,1),(432,1),(439,1),(499,1),(503,1),(504,1),(513,1),(537,1),(542,1)}
       474:{2,4,6}:{(432,1),(433,1),(440,1),(504,1),(505,1)}
       475:{3,5,6}:{(433,1),(501,1),(505,1),(506,1),(516,1)}
       476:{2,5,6}:{(434,1),(438,1),(494,1),(498,1),(507,1),(512,1)}
       477:{1,3,5,7}:{(434,1),(435,1),(445,1),(495,1),(499,1),(507,1),(508,1),(535,1),(537,1),(548,1)}
       478:{2,3,6,7}:{(435,1),(436,1),(440,1),(446,1),(500,1),(508,1)}
       479:{3,5,6,7}:{(436,1),(437,1),(441,1),(496,1),(501,1),(509,1)}
       480:{2,3,5}:{(438,1),(442,1),(447,1),(502,1),(510,1)}
       481:{2,5,7}:{(438,1),(439,1),(443,1),(512,1)}
       482:{1,3,6}:{(439,1),(440,1),(449,1),(504,1),(512,1),(539,1)}
       483:{4,6}:{(441,1),(444,1)}
       484:{2,3,7}:{(442,1),(443,1),(450,1),(535,1)}
       485:{1,6,7}:{(445,1),(446,1),(449,1)}
       486:{1,4}:{(447,1),(452,1),(510,1)}
       487:{1,3,5,7}:{(447,1),(448,1),(450,1),(453,1),(511,1),(513,1),(514,1),(542,1)}
       488:{1,2,6}:{(448,1),(449,1),(454,1),(512,1),(514,1)}
       489:{2,4,7}:{(452,1),(453,1),(455,1),(513,1),(515,1)}
       490:{2,3,6}:{(453,1),(454,1),(456,1),(514,1),(515,1)}
       491:{3,4,6}:{(455,1),(456,1),(515,1),(516,1),(517,1)}
       492:{3,5,6}:{(456,1),(457,1),(458,1),(516,1),(517,1)}
       493:{4,7}:{(458,1),(517,1)}
       494:{2,6}:{(459,1),(463,1),(518,1)}
       495:{1,3,7}:{(459,1),(460,1),(467,1),(518,1)}
       496:{3,5,7}:{(461,1),(462,1),(464,1),(519,1)}
       497:{4,6}:{(464,1),(466,1),(519,1)}
       498:{2,4,6}:{(469,1),(472,1),(476,1),(520,1),(521,1)}
       499:{1,4,7}:{(469,1),(470,1),(477,1),(521,1),(551,1)}
       500:{2,4,6,7}:{(470,1),(471,1),(474,1),(478,1),(522,1),(523,1)}
       501:{3,5,7}:{(471,1),(475,1),(523,1),(524,1)}
       502:{3,5}:{(472,1),(520,1),(525,1)}
       503:{2,4,5,7}:{(472,1),(473,1),(481,1),(521,1),(526,1),(527,1),(530,1),(544,1),(547,1),(551,1),(552,1)}
       504:{1,4,6}:{(473,1),(474,1),(482,1),(527,1),(528,1)}
       505:{2,5,6}:{(474,1),(475,1),(523,1),(528,1),(533,1)}
       506:{4,5,6}:{(475,1),(483,1),(524,1),(534,1)}
       507:{2,5,7}:{(476,1),(477,1),(518,1),(521,1),(529,1)}
       508:{1,3,6,7}:{(477,1),(478,1),(482,1),(485,1),(522,1),(529,1),(543,1)}
       509:{4,6,7}:{(479,1),(483,1),(519,1),(524,1)}
       510:{2,4}:{(480,1),(486,1),(525,1)}
       511:{2,3,5,7}:{(480,1),(481,1),(484,1),(487,1),(526,1),(530,1),(531,1),(547,1)}
       512:{2,6}:{(481,1),(482,1)}
       513:{1,4,7}:{(486,1),(487,1),(489,1),(530,1),(532,1)}
       514:{1,3,6}:{(487,1),(488,1),(490,1),(531,1),(532,1)}
       515:{2,4,6}:{(489,1),(490,1),(491,1),(532,1),(533,1)}
       516:{3,5}:{(491,1),(533,1),(534,1)}
       517:{4,6}:{(492,1),(493,1),(534,1)}
       518:{2,7}:{(494,1),(495,1)}
       519:{4,7}:{(496,1),(497,1)}
       520:{3,6}:{(498,1),(502,1),(535,1)}
       521:{2,4,7}:{(498,1),(499,1),(507,1),(535,1)}
       522:{1,4,6,7}:{(499,1),(500,1),(504,1),(508,1),(536,1),(537,1)}
       523:{2,5,7}:{(500,1),(501,1),(505,1),(537,1)}
       524:{4,5,7}:{(501,1),(506,1),(509,1)}
       525:{3,4}:{(502,1),(510,1)}
       526:{3,5,7}:{(502,1),(503,1),(535,1),(538,1),(539,1),(549,1)}
       527:{2,4,6}:{(503,1),(504,1),(512,1),(539,1),(540,1),(550,1)}
       528:{1,5,6}:{(504,1),(505,1),(537,1),(540,1),(542,1)}
       529:{2,6,7}:{(507,1),(508,1),(512,1)}
       530:{2,4,7}:{(510,1),(511,1),(513,1),(538,1),(541,1)}
       531:{2,3,6}:{(511,1),(512,1),(514,1),(539,1),(541,1)}
       532:{1,4,6}:{(513,1),(514,1),(515,1),(541,1),(542,1)}
       533:{2,5}:{(515,1),(516,1),(542,1)}
       534:{4,5}:{(516,1),(517,1)}
       535:{3,7}:{(520,1),(521,1)}
       536:{2,4,6,7}:{(521,1),(522,1),(527,1),(529,1),(543,1),(544,1),(551,1)}
       537:{1,5,7}:{(522,1),(523,1),(528,1),(544,1)}
       538:{3,4,7}:{(525,1),(526,1),(530,1),(545,1),(551,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{2,5,6}:{(527,1),(528,1),(544,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{3,6,7}:{(535,1),(536,1),(539,1),(548,1)}
       544:{2,5,7}:{(536,1),(537,1),(540,1),(548,1)}
       545:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       546:{3,5,6}:{(539,1),(540,1),(548,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(549,1)}
       548:{3,5,7}:{(543,1),(544,1),(546,1),(551,1)}
       549:{3,5}:{(545,1),(547,1),(552,1)}
       550:{4,6}:{(546,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 634 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 635 :   0:{2,4,5,6}:{(1,1),(3,1),(4,1),(25,1),(28,1),(58,1),(133,1),(152,1),(258,1),(360,1),(374,1),(459,1)}
         1:{1,4,5,6}:{(0,1),(6,1),(8,1),(9,1),(48,1),(52,1),(107,1),(181,1),(212,1),(303,1),(325,1)}
         2:{2,5,6,7}:{(7,1),(10,1),(12,1),(118,1),(311,1),(428,1)}
         3:{2,4,5,7}:{(0,1),(8,1),(12,1),(13,1),(47,1),(49,1),(51,1),(118,1),(200,1),(311,1),(424,1)}
         4:{3,5,6}:{(0,1),(11,1),(13,1),(201,1),(314,1),(426,1)}
         5:{2,3,4,6}:{(16,1),(17,1),(18,1),(28,1),(62,1),(74,1),(125,1),(126,1),(222,1),(255,1),(262,1),(337,1)}
         6:{2,4,5,6}:{(1,1),(20,1),(21,1),(25,1),(70,1),(83,1),(143,1),(169,1),(233,1),(245,1),(273,1),(349,1)}
         7:{1,5,6,7}:{(2,1),(19,1),(23,1),(163,1),(252,1),(382,1)}
         8:{1,4,5,7}:{(1,1),(3,1),(20,1),(23,1),(24,1),(78,1),(82,1),(151,1),(163,1),(252,1)}
         9:{1,3,5,6}:{(1,1),(4,1),(21,1),(22,1),(24,1),(25,1),(264,1),(380,1)}
        10:{3,5,6,7}:{(2,1),(26,1),(29,1),(80,1),(369,1),(470,1)}
        11:{3,4,6}:{(4,1),(15,1),(27,1),(28,1),(459,1)}
        12:{2,4,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(77,1),(374,1)}
        13:{3,5,7}:{(3,1),(4,1),(27,1),(29,1),(254,1)}
        14:{2,3,5,6}:{(4,1),(16,1),(25,1),(28,1),(30,1),(31,1),(62,1),(74,1),(133,1)}
        15:{3,4,5}:{(11,1),(34,1),(277,1),(314,1),(496,1)}
        16:{2,3,5}:{(5,1),(34,1),(36,1),(314,1),(321,1),(394,1)}
        17:{2,3,4,7}:{(5,1),(35,1),(37,1),(51,1),(111,1),(172,1),(279,1),(313,1),(320,1)}
        18:{1,3,4,6}:{(5,1),(36,1),(37,1),(38,1),(52,1),(91,1),(96,1),(112,1),(121,1),(170,1),(178,1),(184,1),(286,1),(292,1),(319,1)}
        19:{2,5,6,7}:{(7,1),(39,1),(41,1),(198,1),(213,1),(331,1)}
        20:{2,4,5,7}:{(6,1),(8,1),(41,1),(42,1),(47,1),(104,1),(106,1),(120,1),(198,1),(213,1),(327,1)}
        21:{3,5,6}:{(6,1),(40,1),(42,1),(121,1),(216,1),(329,1)}
        22:{1,3,4,6}:{(9,1),(11,1),(32,1),(40,1),(44,1),(45,1),(52,1),(107,1),(112,1),(121,1),(201,1)}
        23:{1,4,6,7}:{(7,1),(8,1),(12,1),(41,1),(46,1),(115,1),(325,1)}
        24:{1,3,5,7}:{(8,1),(9,1),(13,1),(42,1),(44,1),(46,1),(47,1)}
        25:{2,5,6}:{(9,1),(45,1),(47,1),(48,1),(321,1),(432,1)}
        26:{4,6,7}:{(10,1),(49,1),(424,1),(504,1)}
        27:{3,4,7}:{(11,1),(13,1),(51,1),(424,1)}
        28:{2,4,6}:{(11,1),(14,1),(34,1),(51,1),(52,1)}
        29:{3,6,7}:{(12,1),(13,1),(426,1)}
        30:{2,3,5,7}:{(13,1),(14,1),(47,1),(51,1),(53,1),(54,1),(111,1),(118,1)}
        31:{1,3,5,6}:{(14,1),(36,1),(48,1),(52,1),(54,1),(55,1),(96,1),(112,1),(121,1),(181,1),(291,1)}
        32:{1,3,4,5}:{(15,1),(22,1),(56,1),(61,1),(67,1),(127,1),(136,1),(146,1),(227,1),(248,1),(264,1)}
        33:{3,4,5,7}:{(15,1),(27,1),(59,1),(60,1),(80,1),(335,1),(371,1),(441,1),(469,1)}
        34:{2,4,5}:{(15,1),(16,1),(28,1),(61,1),(222,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(60,1),(62,1),(63,1),(371,1),(378,1)}
        36:{1,3,5}:{(16,1),(18,1),(61,1),(64,1),(136,1),(345,1),(350,1),(377,1)}
        37:{1,3,4,7}:{(17,1),(18,1),(63,1),(65,1),(82,1),(131,1),(156,1),(165,1),(229,1),(235,1),(376,1)}
        38:{2,4,6}:{(18,1),(64,1),(65,1),(66,1),(137,1),(139,1),(157,1),(220,1)}
        39:{3,5,6,7}:{(19,1),(68,1),(71,1),(149,1),(268,1),(385,1)}
        40:{3,4,6}:{(21,1),(67,1),(69,1),(70,1),(349,1)}
        41:{2,4,6,7}:{(19,1),(20,1),(23,1),(68,1),(71,1),(77,1),(273,1)}
        42:{3,5,7}:{(20,1),(21,1),(69,1),(71,1),(165,1)}
        43:{2,3,5,6}:{(21,1),(25,1),(70,1),(72,1),(73,1),(74,1),(142,1),(242,1),(245,1)}
        44:{1,3,4,7}:{(22,1),(24,1),(27,1),(69,1),(75,1),(82,1),(151,1),(156,1),(165,1),(254,1)}
        45:{2,4,6}:{(22,1),(25,1),(56,1),(74,1),(75,1),(76,1),(157,1)}
        46:{1,3,6,7}:{(23,1),(24,1),(29,1),(71,1),(77,1),(380,1)}
        47:{2,5,7}:{(24,1),(25,1),(75,1),(77,1),(78,1)}
        48:{1,5,6}:{(25,1),(76,1),(78,1),(377,1),(473,1)}
        49:{4,5,7}:{(26,1),(58,1),(80,1)}
        50:{3,4,6,7}:{(26,1),(27,1),(29,1),(59,1),(80,1),(81,1)}
        51:{2,4,7}:{(27,1),(28,1),(30,1),(82,1)}
        52:{1,4,6}:{(28,1),(31,1),(61,1),(82,1),(83,1),(349,1)}
        53:{2,3,6,7}:{(29,1),(30,1),(62,1),(77,1),(81,1),(84,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(78,1),(82,1),(84,1),(85,1),(156,1),(163,1),(165,1),(268,1)}
        55:{2,5,6}:{(31,1),(64,1),(83,1),(85,1),(137,1),(157,1)}
        56:{2,4,5}:{(32,1),(45,1),(87,1),(88,1),(174,1),(284,1),(321,1)}
        57:{1,2,4,6}:{(38,1),(89,1),(90,1),(91,1),(173,1),(176,1),(178,1),(205,1),(275,1),(286,1),(319,1)}
        58:{4,5,6}:{(49,1),(92,1),(480,1),(504,1)}
        59:{3,4,6}:{(33,1),(92,1),(93,1),(426,1),(504,1)}
        60:{2,4,5,7}:{(33,1),(34,1),(35,1),(51,1),(93,1),(94,1),(118,1),(279,1),(394,1)}
        61:{1,4,5}:{(34,1),(36,1),(52,1),(95,1),(178,1),(403,1)}
        62:{2,3,6}:{(35,1),(93,1),(96,1),(426,1),(432,1)}
        63:{1,3,5,7}:{(35,1),(36,1),(37,1),(94,1),(96,1),(97,1),(183,1),(430,1)}
        64:{2,5}:{(36,1),(38,1)}
        65:{2,4,7}:{(37,1),(38,1),(97,1),(99,1),(206,1)}
        66:{2,3,6}:{(38,1),(91,1),(98,1),(99,1),(121,1),(276,1)}
        67:{3,4,5}:{(40,1),(102,1),(216,1),(403,1),(486,1)}
        68:{4,6,7}:{(39,1),(104,1),(327,1),(436,1)}
        69:{3,4,7}:{(40,1),(42,1),(106,1),(327,1)}
        70:{2,4,6}:{(40,1),(43,1),(102,1),(106,1),(107,1)}
        71:{3,6,7}:{(41,1),(42,1),(329,1)}
        72:{2,3,5,7}:{(42,1),(43,1),(47,1),(106,1),(108,1),(109,1),(111,1),(198,1)}
        73:{1,3,5,6}:{(43,1),(48,1),(107,1),(109,1),(110,1),(112,1),(191,1),(201,1),(300,1),(303,1),(414,1)}
        74:{2,3,6}:{(45,1),(87,1),(111,1),(112,1),(121,1),(201,1)}
        75:{2,4,7}:{(44,1),(45,1),(47,1),(111,1),(113,1),(206,1)}
        76:{1,4,6}:{(45,1),(48,1),(88,1),(112,1),(113,1)}
        77:{2,6,7}:{(46,1),(47,1),(115,1),(432,1)}
        78:{1,5,7}:{(47,1),(48,1),(113,1),(115,1)}
        79:{1,2,5,6}:{(48,1),(55,1),(89,1),(110,1),(114,1),(116,1),(117,1),(176,1),(205,1),(282,1),(299,1),(321,1),(408,1),(431,1),(432,1),(500,1)}
        80:{3,5,7}:{(49,1),(50,1),(92,1),(118,1)}
        81:{2,4,6,7}:{(50,1),(51,1),(53,1),(93,1),(118,1),(119,1)}
        82:{1,4,7}:{(51,1),(52,1),(54,1),(120,1),(327,1)}
        83:{2,4,6}:{(52,1),(55,1),(95,1),(120,1),(121,1)}
        84:{1,3,6,7}:{(53,1),(54,1),(96,1),(115,1),(119,1),(122,1),(214,1)}
        85:{2,5,7}:{(54,1),(55,1),(120,1),(122,1),(206,1)}
        86:{2,3,5,6}:{(55,1),(98,1),(117,1),(121,1),(123,1),(124,1),(185,1),(207,1),(216,1),(291,1),(295,1),(321,1),(329,1),(331,1),(407,1),(432,1),(487,1),(500,1),(531,1),(532,1),(547,1)}
        87:{2,3,5}:{(56,1),(74,1),(125,1),(127,1),(136,1),(248,1)}
        88:{1,4,5}:{(56,1),(76,1),(127,1),(342,1),(377,1)}
        89:{1,2,5}:{(57,1),(64,1),(130,1),(224,1),(345,1),(377,1)}
        90:{1,2,4,7}:{(57,1),(65,1),(129,1),(131,1),(223,1),(229,1),(259,1),(376,1)}
        91:{1,3,6}:{(57,1),(66,1),(126,1),(130,1),(131,1),(333,1)}
        92:{3,5,6}:{(58,1),(59,1),(80,1),(133,1),(441,1)}
        93:{2,4,6}:{(59,1),(60,1),(62,1),(133,1),(134,1)}
        94:{1,4,5,7}:{(60,1),(61,1),(63,1),(82,1),(134,1),(135,1),(163,1),(229,1),(345,1)}
        95:{2,4,5}:{(61,1),(64,1),(83,1),(136,1),(139,1)}
        96:{1,3,6}:{(62,1),(63,1),(134,1),(137,1),(234,1),(473,1)}
        97:{2,5,7}:{(63,1),(64,1),(65,1),(137,1)}
        98:{2,3,5}:{(64,1),(66,1),(130,1),(136,1),(139,1)}
        99:{2,3,7}:{(65,1),(66,1),(131,1),(165,1)}
       100:{2,3,4,6}:{(66,1),(132,1),(139,1),(140,1),(141,1),(166,1),(237,1),(239,1),(240,1),(262,1),(334,1),(440,1)}
       101:{3,4,5,7}:{(67,1),(69,1),(144,1),(145,1),(149,1),(270,1),(384,1),(511,1),(540,1)}
       102:{2,4,5}:{(67,1),(70,1),(142,1),(146,1),(452,1)}
       103:{2,3,4,6}:{(70,1),(74,1),(125,1),(142,1),(147,1),(148,1),(166,1),(242,1),(262,1),(364,1),(452,1),(513,1)}
       104:{4,5,7}:{(68,1),(143,1),(149,1)}
       105:{3,4,6,7}:{(68,1),(69,1),(71,1),(144,1),(149,1),(150,1)}
       106:{2,4,7}:{(69,1),(70,1),(72,1),(151,1)}
       107:{1,4,6}:{(70,1),(73,1),(146,1),(151,1),(152,1),(459,1)}
       108:{2,3,6,7}:{(71,1),(72,1),(77,1),(150,1),(153,1),(242,1)}
       109:{1,3,5,7}:{(72,1),(73,1),(78,1),(151,1),(153,1),(154,1),(156,1),(252,1),(254,1),(369,1)}
       110:{2,5,6}:{(73,1),(152,1),(154,1),(157,1),(244,1),(357,1)}
       111:{2,3,7}:{(74,1),(75,1),(156,1),(165,1),(254,1)}
       112:{1,3,6}:{(74,1),(76,1),(127,1),(156,1),(157,1)}
       113:{1,4,7}:{(75,1),(76,1),(78,1),(156,1)}
       114:{1,2,4,6}:{(76,1),(79,1),(83,1),(128,1),(152,1),(157,1),(158,1),(159,1),(162,1),(262,1),(339,1),(446,1),(507,1),(515,1)}
       115:{1,6,7}:{(77,1),(78,1),(473,1)}
       116:{1,2,5,7}:{(78,1),(79,1),(85,1),(154,1),(158,1),(160,1),(161,1),(259,1),(341,1),(378,1),(474,1),(524,1)}
       117:{1,3,5,6}:{(79,1),(86,1),(130,1),(155,1),(159,1),(161,1),(162,1),(228,1),(260,1),(264,1),(345,1),(356,1),(377,1),(380,1),(382,1),(453,1),(473,1),(516,1)}
       118:{2,5,7}:{(80,1),(81,1),(133,1),(163,1)}
       119:{1,4,6,7}:{(81,1),(82,1),(84,1),(134,1),(163,1),(164,1)}
       120:{2,4,7}:{(82,1),(83,1),(85,1),(165,1)}
       121:{3,6}:{(83,1),(136,1),(165,1)}
       122:{2,6,7}:{(84,1),(85,1),(137,1)}
       123:{2,3,5,7}:{(85,1),(86,1),(161,1),(165,1),(167,1),(168,1),(261,1),(268,1),(270,1),(272,1),(378,1),(524,1),(542,1),(551,1)}
       124:{2,4,6}:{(86,1),(139,1),(162,1),(166,1),(168,1),(169,1),(349,1),(452,1),(550,1)}
       125:{2,3,4}:{(87,1),(170,1),(184,1),(284,1),(306,1),(388,1)}
       126:{2,3,6}:{(91,1),(171,1),(172,1),(173,1),(388,1),(393,1)}
       127:{1,3,5}:{(87,1),(88,1),(112,1),(170,1),(174,1)}
       128:{1,2,4,5}:{(88,1),(89,1),(95,1),(114,1),(174,1),(175,1),(178,1),(195,1),(212,1),(275,1),(280,1),(284,1),(299,1),(321,1),(398,1),(410,1),(477,1),(489,1)}
       129:{1,2,5,7}:{(89,1),(90,1),(97,1),(176,1),(177,1),(281,1),(430,1)}
       130:{1,3,5}:{(89,1),(91,1),(98,1),(171,1),(178,1)}
       131:{1,3,7}:{(90,1),(91,1),(99,1),(172,1)}
       132:{1,3,4,6}:{(91,1),(100,1),(173,1),(178,1),(179,1),(180,1),(277,1),(286,1),(288,1),(289,1),(319,1),(389,1),(391,1),(393,1),(478,1)}
       133:{2,5,6}:{(92,1),(93,1),(118,1),(181,1),(394,1)}
       134:{1,4,6}:{(93,1),(94,1),(96,1),(181,1),(182,1)}
       135:{2,4,5,7}:{(94,1),(95,1),(97,1),(120,1),(182,1),(183,1),(186,1),(213,1),(295,1),(327,1),(403,1)}
       136:{3,5}:{(95,1),(121,1),(184,1)}
       137:{2,6}:{(96,1),(97,1)}
       138:{2,3,5,7}:{(97,1),(98,1),(99,1),(177,1),(183,1),(185,1),(186,1),(295,1)}
       139:{2,4}:{(98,1),(178,1),(184,1)}
       140:{2,3,4,7}:{(99,1),(100,1),(179,1),(186,1),(188,1),(215,1),(297,1),(320,1),(479,1)}
       141:{2,3,5}:{(100,1),(180,1),(187,1),(216,1),(295,1),(321,1)}
       142:{2,3,5}:{(102,1),(103,1),(191,1),(216,1),(321,1),(532,1)}
       143:{4,5,6}:{(104,1),(192,1),(436,1),(546,1)}
       144:{3,4,6}:{(101,1),(192,1),(193,1),(329,1),(436,1)}
       145:{2,4,5,7}:{(101,1),(102,1),(106,1),(190,1),(193,1),(194,1),(198,1),(488,1),(532,1)}
       146:{1,4,5}:{(102,1),(107,1),(191,1),(195,1),(410,1),(496,1)}
       147:{2,3,4,7}:{(103,1),(106,1),(111,1),(190,1),(196,1),(215,1),(320,1),(418,1),(488,1)}
       148:{1,3,4,6}:{(103,1),(107,1),(112,1),(170,1),(191,1),(196,1),(197,1),(201,1),(300,1),(306,1),(308,1),(319,1),(410,1),(415,1),(490,1)}
       149:{3,5,7}:{(104,1),(105,1),(192,1),(198,1)}
       150:{2,4,6,7}:{(105,1),(106,1),(108,1),(193,1),(198,1),(199,1)}
       151:{1,4,7}:{(106,1),(107,1),(109,1),(200,1),(424,1)}
       152:{2,4,6}:{(107,1),(110,1),(195,1),(200,1),(201,1)}
       153:{1,3,6,7}:{(108,1),(109,1),(115,1),(199,1),(202,1),(300,1),(312,1)}
       154:{2,5,7}:{(109,1),(110,1),(200,1),(202,1),(206,1)}
       155:{2,3,5,6}:{(110,1),(117,1),(171,1),(201,1),(203,1),(204,1),(207,1),(278,1),(282,1),(302,1),(314,1),(321,1),(393,1),(394,1),(411,1),(414,1),(426,1),(428,1),(432,1),(481,1),(493,1)}
       156:{1,3,7}:{(111,1),(112,1),(113,1),(206,1)}
       157:{2,6}:{(112,1),(174,1),(206,1)}
       158:{1,2,4,7}:{(113,1),(114,1),(116,1),(120,1),(200,1),(206,1),(208,1),(211,1),(320,1),(396,1),(484,1),(527,1),(534,1)}
       159:{1,3,6}:{(114,1),(121,1),(175,1),(201,1),(207,1),(208,1),(393,1),(531,1)}
       160:{1,2,6,7}:{(115,1),(116,1),(122,1),(176,1),(202,1),(210,1),(397,1),(408,1),(432,1),(506,1),(539,1)}
       161:{1,3,5,7}:{(116,1),(117,1),(123,1),(203,1),(208,1),(210,1),(211,1),(318,1),(324,1),(430,1)}
       162:{1,4,6}:{(117,1),(124,1),(178,1),(204,1),(211,1),(212,1),(410,1)}
       163:{1,5,7}:{(118,1),(119,1),(181,1),(213,1)}
       164:{2,4,6,7}:{(119,1),(120,1),(122,1),(182,1),(213,1),(214,1),(327,1)}
       165:{3,7}:{(120,1),(121,1)}
       166:{3,4,6}:{(121,1),(124,1),(184,1),(215,1),(216,1),(329,1),(486,1),(531,1)}
       167:{2,3,6,7}:{(122,1),(123,1),(185,1),(210,1),(214,1),(217,1),(329,1),(432,1),(487,1),(539,1),(548,1)}
       168:{2,4,7}:{(123,1),(124,1),(211,1),(215,1),(327,1),(552,1)}
       169:{2,4,5}:{(124,1),(212,1),(216,1),(295,1),(321,1),(403,1),(532,1),(546,1)}
       170:{1,3,4}:{(125,1),(127,1),(220,1),(333,1),(342,1)}
       171:{2,3,5}:{(126,1),(130,1),(222,1),(224,1),(336,1)}
       172:{2,3,7}:{(126,1),(131,1),(223,1),(443,1)}
       173:{2,4,6}:{(126,1),(132,1),(222,1),(223,1),(224,1),(340,1),(438,1),(507,1)}
       174:{2,5}:{(127,1),(157,1),(220,1)}
       175:{1,3,5}:{(128,1),(136,1),(159,1),(226,1),(227,1),(248,1),(333,1),(336,1),(512,1)}
       176:{1,2,6}:{(129,1),(137,1),(228,1),(340,1),(473,1)}
       177:{1,3,5,7}:{(129,1),(130,1),(131,1),(138,1),(221,1),(228,1),(229,1),(345,1)}
       178:{1,4}:{(130,1),(139,1),(222,1)}
       179:{1,3,4,7}:{(131,1),(132,1),(140,1),(223,1),(229,1),(231,1),(335,1),(347,1),(376,1),(443,1),(508,1)}
       180:{1,3,5}:{(132,1),(141,1),(224,1),(230,1),(336,1),(345,1),(377,1),(441,1)}
       181:{1,5,6}:{(133,1),(134,1),(163,1),(233,1),(345,1)}
       182:{2,4,6}:{(134,1),(135,1),(137,1),(233,1),(234,1),(349,1)}
       183:{3,5,7}:{(135,1),(136,1),(165,1),(234,1),(235,1),(350,1)}
       184:{3,4}:{(136,1),(139,1)}
       185:{2,3,6}:{(137,1),(138,1),(228,1),(234,1),(237,1)}
       186:{2,4,7}:{(138,1),(139,1),(229,1),(235,1),(237,1)}
       187:{2,4,5}:{(139,1),(141,1),(230,1),(236,1),(239,1)}
       188:{2,3,5,7}:{(140,1),(141,1),(231,1),(238,1),(240,1),(270,1),(378,1)}
       189:{2,3,5,6}:{(141,1),(232,1),(239,1),(240,1),(241,1),(271,1),(353,1),(379,1),(440,1)}
       190:{2,3,5,7}:{(142,1),(145,1),(147,1),(242,1),(243,1),(270,1),(378,1)}
       191:{1,3,5}:{(142,1),(146,1),(148,1),(244,1),(248,1),(377,1),(460,1),(516,1)}
       192:{3,5,6}:{(143,1),(144,1),(149,1),(245,1),(540,1)}
       193:{2,4,6}:{(144,1),(145,1),(242,1),(245,1),(246,1)}
       194:{1,4,5,7}:{(145,1),(146,1),(151,1),(243,1),(246,1),(247,1),(252,1),(454,1),(516,1)}
       195:{2,4,5}:{(146,1),(152,1),(244,1),(248,1),(359,1)}
       196:{1,3,4,7}:{(147,1),(148,1),(151,1),(156,1),(243,1),(250,1),(254,1),(362,1),(365,1),(376,1),(454,1)}
       197:{2,4,6}:{(148,1),(157,1),(220,1),(244,1),(250,1),(251,1),(357,1),(359,1)}
       198:{2,5,7}:{(149,1),(150,1),(245,1),(252,1)}
       199:{1,4,6,7}:{(150,1),(151,1),(153,1),(246,1),(252,1),(253,1)}
       200:{2,4,7}:{(151,1),(152,1),(154,1),(254,1)}
       201:{3,6}:{(152,1),(248,1),(254,1)}
       202:{2,6,7}:{(153,1),(154,1),(357,1)}
       203:{2,3,5,7}:{(154,1),(155,1),(161,1),(254,1),(256,1),(257,1),(261,1),(341,1),(369,1),(371,1),(373,1),(378,1),(443,1),(510,1)}
       204:{2,4,6}:{(155,1),(162,1),(222,1),(255,1),(257,1),(258,1),(359,1),(459,1),(509,1)}
       205:{1,2,6}:{(157,1),(225,1),(259,1),(260,1),(507,1)}
       206:{2,7}:{(156,1),(157,1)}
       207:{2,3,6}:{(157,1),(159,1),(226,1),(260,1),(261,1),(262,1),(507,1)}
       208:{1,3,7}:{(158,1),(159,1),(165,1),(254,1),(261,1),(443,1),(542,1)}
       209:{1,3,4,6}:{(159,1),(162,1),(166,1),(227,1),(255,1),(262,1),(263,1),(264,1),(380,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(167,1),(228,1),(256,1),(265,1),(380,1),(453,1),(473,1)}
       211:{1,4,7}:{(161,1),(162,1),(168,1),(257,1)}
       212:{1,4,5}:{(162,1),(169,1),(258,1),(264,1),(345,1),(377,1),(516,1)}
       213:{2,5,7}:{(163,1),(164,1),(233,1),(268,1)}
       214:{3,6,7}:{(164,1),(165,1),(234,1),(268,1)}
       215:{3,4,7}:{(165,1),(166,1),(168,1),(270,1),(542,1)}
       216:{3,5}:{(166,1),(169,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(237,1),(265,1),(269,1),(272,1),(273,1),(513,1)}
       218:{2,4,5,7}:{(168,1),(169,1),(266,1),(270,1),(272,1),(273,1),(378,1),(384,1)}
       219:{2,4,5,6}:{(169,1),(239,1),(267,1),(271,1),(273,1),(274,1),(353,1),(379,1),(449,1),(515,1),(543,1),(550,1)}
       220:{2,4}:{(170,1),(174,1),(276,1)}
       221:{2,3,5,7}:{(171,1),(172,1),(177,1),(278,1),(279,1),(281,1),(392,1),(394,1)}
       222:{2,4}:{(171,1),(178,1),(277,1)}
       223:{2,4,7}:{(172,1),(173,1),(179,1),(281,1),(527,1)}
       224:{2,5}:{(173,1),(180,1)}
       225:{1,2,5}:{(174,1),(205,1),(275,1),(283,1),(477,1)}
       226:{2,3,5}:{(174,1),(175,1),(207,1),(276,1),(283,1),(284,1),(321,1),(388,1),(477,1)}
       227:{1,3,4}:{(175,1),(178,1),(184,1),(277,1),(284,1),(306,1),(410,1),(486,1)}
       228:{1,3,6}:{(176,1),(177,1),(185,1),(278,1),(286,1)}
       229:{1,4,7}:{(177,1),(178,1),(186,1),(279,1),(286,1)}
       230:{1,4,5}:{(178,1),(180,1),(187,1),(280,1),(288,1),(480,1)}
       231:{1,3,5,7}:{(179,1),(180,1),(188,1),(281,1),(287,1),(289,1),(392,1),(430,1)}
       232:{1,3,5,6}:{(180,1),(189,1),(282,1),(288,1),(289,1),(290,1),(393,1),(401,1),(431,1),(478,1),(481,1)}
       233:{2,5,6}:{(181,1),(182,1),(213,1),(291,1),(295,1)}
       234:{3,6}:{(182,1),(183,1)}
       235:{3,4,7}:{(183,1),(184,1),(186,1),(292,1),(327,1)}
       236:{3,4,5}:{(184,1),(187,1),(216,1),(294,1),(546,1)}
       237:{2,4,6}:{(185,1),(186,1),(286,1),(292,1),(295,1)}
       238:{2,4,5,7}:{(186,1),(187,1),(188,1),(287,1),(293,1),(295,1),(296,1),(297,1),(406,1)}
       239:{2,4,6}:{(187,1),(189,1),(288,1),(294,1),(297,1)}
       240:{2,3,6}:{(188,1),(289,1),(296,1),(329,1),(432,1)}
       241:{2,3,5,7}:{(189,1),(290,1),(297,1),(298,1),(330,1),(406,1),(433,1),(479,1)}
       242:{2,3,6}:{(190,1),(193,1),(300,1),(329,1),(432,1)}
       243:{1,3,5,7}:{(190,1),(191,1),(194,1),(196,1),(300,1),(301,1),(305,1),(430,1)}
       244:{2,5}:{(191,1),(197,1)}
       245:{2,5,6}:{(192,1),(193,1),(198,1),(303,1),(532,1)}
       246:{1,4,6}:{(193,1),(194,1),(300,1),(303,1),(304,1)}
       247:{2,4,5,7}:{(194,1),(195,1),(200,1),(301,1),(304,1),(305,1),(311,1),(412,1),(424,1),(493,1),(496,1)}
       248:{3,5}:{(195,1),(201,1),(306,1)}
       249:{1,2,4,6}:{(197,1),(205,1),(275,1),(299,1),(307,1),(308,1),(319,1),(408,1),(410,1),(419,1),(490,1)}
       250:{2,4,7}:{(196,1),(197,1),(206,1),(301,1),(309,1)}
       251:{2,3,6}:{(197,1),(201,1),(276,1),(302,1),(308,1),(309,1)}
       252:{1,5,7}:{(198,1),(199,1),(303,1),(311,1)}
       253:{2,4,6,7}:{(199,1),(200,1),(202,1),(304,1),(311,1),(312,1),(424,1)}
       254:{3,7}:{(200,1),(201,1)}
       255:{3,4,6}:{(201,1),(204,1),(277,1),(306,1),(313,1),(314,1),(393,1),(426,1)}
       256:{2,3,6,7}:{(202,1),(203,1),(210,1),(278,1),(312,1),(315,1),(397,1),(411,1),(426,1),(432,1),(482,1)}
       257:{2,4,7}:{(203,1),(204,1),(211,1),(313,1),(424,1),(528,1)}
       258:{2,4,5}:{(204,1),(212,1),(314,1),(321,1),(394,1),(480,1),(493,1),(496,1)}
       259:{1,2,7}:{(205,1),(206,1),(318,1),(527,1)}
       260:{1,3,6}:{(205,1),(207,1),(283,1),(318,1),(319,1)}
       261:{2,3,7}:{(206,1),(207,1),(208,1),(318,1),(320,1),(527,1)}
       262:{2,4,6}:{(207,1),(209,1),(284,1),(319,1),(320,1),(321,1),(432,1)}
       263:{1,3,4,7}:{(208,1),(209,1),(211,1),(215,1),(313,1),(320,1),(322,1)}
       264:{1,3,5}:{(209,1),(212,1),(216,1),(314,1),(321,1)}
       265:{1,4,6,7}:{(210,1),(211,1),(217,1),(286,1),(315,1),(324,1),(325,1),(490,1)}
       266:{1,4,5,7}:{(211,1),(212,1),(218,1),(316,1),(322,1),(324,1),(325,1),(430,1)}
       267:{1,4,5,6}:{(212,1),(219,1),(288,1),(317,1),(323,1),(325,1),(326,1),(401,1),(431,1),(492,1),(535,1)}
       268:{3,5,7}:{(213,1),(214,1),(291,1),(327,1)}
       269:{3,4,6,7}:{(214,1),(215,1),(217,1),(292,1),(327,1),(328,1),(329,1),(436,1),(529,1),(548,1),(552,1)}
       270:{3,5,7}:{(215,1),(216,1),(218,1),(329,1)}
       271:{3,5,6}:{(216,1),(219,1),(294,1),(329,1),(330,1),(531,1)}
       272:{2,5,7}:{(217,1),(295,1),(324,1),(328,1),(331,1),(532,1)}
       273:{2,4,6}:{(218,1),(325,1),(329,1),(331,1),(432,1),(436,1)}
       274:{2,4,5,7}:{(219,1),(297,1),(326,1),(330,1),(332,1),(406,1),(433,1),(485,1),(534,1),(549,1),(552,1)}
       275:{1,2,4}:{(220,1),(225,1),(333,1),(342,1),(438,1)}
       276:{2,3}:{(220,1),(333,1)}
       277:{3,4}:{(222,1),(336,1)}
       278:{2,3,6}:{(221,1),(228,1),(337,1),(340,1),(442,1)}
       279:{2,4,7}:{(221,1),(222,1),(229,1),(335,1),(337,1)}
       280:{2,4,5}:{(222,1),(224,1),(230,1),(336,1),(339,1)}
       281:{2,5,7}:{(223,1),(224,1),(231,1),(340,1)}
       282:{2,5,6}:{(224,1),(232,1),(339,1),(340,1),(341,1),(507,1)}
       283:{1,3,5}:{(225,1),(226,1),(260,1),(333,1),(342,1),(377,1)}
       284:{2,4}:{(226,1),(227,1),(342,1)}
       285:{1,3,4,5}:{(227,1),(230,1),(236,1),(264,1),(336,1),(343,1),(344,1),(363,1),(439,1),(455,1),(512,1)}
       286:{1,4,6}:{(228,1),(229,1),(237,1),(337,1),(345,1)}
       287:{1,4,5,7}:{(229,1),(230,1),(231,1),(238,1),(338,1),(345,1),(346,1),(347,1),(448,1)}
       288:{1,4,6}:{(230,1),(232,1),(239,1),(339,1),(347,1),(509,1)}
       289:{1,3,6}:{(231,1),(240,1),(340,1),(346,1),(442,1),(473,1)}
       290:{1,3,5,7}:{(232,1),(241,1),(341,1),(347,1),(348,1),(443,1),(448,1),(474,1),(508,1),(510,1)}
       291:{3,5,6}:{(233,1),(234,1),(268,1),(349,1),(350,1)}
       292:{3,4,6}:{(234,1),(235,1),(237,1),(349,1),(350,1)}
       293:{3,4,5,7}:{(235,1),(236,1),(238,1),(270,1),(350,1),(351,1),(352,1),(384,1),(450,1)}
       294:{3,4,6}:{(236,1),(239,1),(271,1),(352,1),(550,1)}
       295:{2,5}:{(237,1),(345,1),(350,1)}
       296:{2,4,6}:{(238,1),(240,1),(346,1),(351,1),(353,1)}
       297:{2,4,7}:{(239,1),(241,1),(347,1),(352,1)}
       298:{2,3,6,7}:{(240,1),(241,1),(348,1),(354,1),(386,1),(475,1)}
       299:{1,2,5}:{(244,1),(249,1),(356,1),(377,1),(464,1),(516,1)}
       300:{1,3,6}:{(242,1),(243,1),(246,1),(357,1),(361,1),(473,1)}
       301:{2,5,7}:{(243,1),(244,1),(250,1),(357,1)}
       302:{2,3,5}:{(244,1),(248,1),(251,1),(356,1),(359,1)}
       303:{1,5,6}:{(245,1),(246,1),(252,1),(360,1),(516,1)}
       304:{2,4,6}:{(246,1),(247,1),(357,1),(360,1),(361,1),(459,1)}
       305:{3,5,7}:{(247,1),(248,1),(254,1),(361,1),(362,1),(460,1)}
       306:{3,4}:{(248,1),(359,1)}
       307:{1,2,4,7}:{(249,1),(250,1),(259,1),(355,1),(365,1),(376,1),(454,1),(463,1)}
       308:{1,3,6}:{(249,1),(251,1),(333,1),(356,1),(364,1),(365,1)}
       309:{2,3,7}:{(250,1),(251,1),(254,1),(365,1)}
       310:{2,3,4,6}:{(251,1),(255,1),(262,1),(334,1),(359,1),(366,1),(367,1),(368,1),(440,1),(456,1),(458,1),(467,1)}
       311:{2,5,7}:{(252,1),(253,1),(360,1),(369,1)}
       312:{3,6,7}:{(253,1),(254,1),(361,1),(369,1)}
       313:{3,4,7}:{(254,1),(255,1),(257,1),(371,1),(443,1)}
       314:{3,5}:{(255,1),(258,1)}
       315:{2,4,6,7}:{(256,1),(257,1),(265,1),(337,1),(370,1),(373,1),(374,1),(456,1)}
       316:{2,4,5,7}:{(257,1),(258,1),(266,1),(371,1),(373,1),(374,1),(378,1),(469,1)}
       317:{2,4,5,6}:{(258,1),(267,1),(339,1),(372,1),(374,1),(375,1),(379,1),(444,1),(458,1),(509,1),(519,1),(521,1)}
       318:{1,3,7}:{(259,1),(260,1),(261,1),(376,1)}
       319:{1,4,6}:{(260,1),(262,1),(342,1),(376,1),(377,1),(473,1)}
       320:{2,4,7}:{(261,1),(262,1),(263,1),(376,1),(378,1)}
       321:{2,5}:{(262,1),(264,1),(377,1)}
       322:{1,3,5,7}:{(263,1),(264,1),(266,1),(270,1),(371,1),(378,1),(380,1)}
       323:{1,3,5,6}:{(264,1),(267,1),(271,1),(344,1),(372,1),(379,1),(380,1),(381,1)}
       324:{1,5,7}:{(265,1),(272,1),(345,1),(373,1),(382,1),(516,1)}
       325:{1,4,6}:{(266,1),(273,1),(374,1),(380,1),(382,1),(473,1)}
       326:{1,4,5,7}:{(267,1),(274,1),(347,1),(375,1),(381,1),(383,1),(448,1),(474,1),(518,1),(545,1)}
       327:{4,7}:{(268,1),(349,1)}
       328:{3,5,7}:{(269,1),(272,1),(350,1),(384,1),(385,1),(540,1)}
       329:{3,6}:{(270,1),(273,1)}
       330:{3,5,7}:{(271,1),(274,1),(352,1),(386,1),(542,1)}
       331:{2,5,6}:{(272,1),(273,1),(382,1),(385,1)}
       332:{2,4,6,7}:{(273,1),(274,1),(383,1),(386,1),(387,1),(475,1),(476,1)}
       333:{1,3}:{(275,1),(276,1),(388,1)}
       334:{2,3,4}:{(276,1),(277,1),(284,1),(389,1),(390,1),(486,1)}
       335:{3,4,7}:{(277,1),(279,1),(391,1),(392,1),(528,1)}
       336:{3,5}:{(277,1),(280,1),(393,1)}
       337:{2,4,6}:{(278,1),(279,1),(286,1),(391,1),(394,1)}
       338:{2,4,5,7}:{(279,1),(280,1),(281,1),(287,1),(392,1),(394,1),(395,1),(396,1),(480,1),(483,1),(528,1)}
       339:{2,4,6}:{(280,1),(282,1),(288,1),(393,1),(396,1)}
       340:{2,6}:{(281,1),(289,1)}
       341:{2,5,7}:{(282,1),(290,1),(396,1),(397,1),(527,1)}
       342:{1,4}:{(283,1),(284,1)}
       343:{2,4,5}:{(284,1),(285,1),(321,1),(390,1),(398,1),(399,1),(477,1)}
       344:{1,3,4,6}:{(285,1),(288,1),(294,1),(323,1),(393,1),(399,1),(400,1),(417,1),(478,1),(492,1),(531,1)}
       345:{1,5}:{(286,1),(295,1),(394,1)}
       346:{1,4,6}:{(287,1),(289,1),(296,1),(395,1),(401,1)}
       347:{1,4,7}:{(288,1),(290,1),(297,1),(396,1),(528,1)}
       348:{1,3,6,7}:{(289,1),(290,1),(298,1),(397,1),(402,1),(482,1),(506,1)}
       349:{4,6}:{(291,1),(327,1),(403,1)}
       350:{3,5}:{(292,1),(295,1),(403,1)}
       351:{3,4,6}:{(293,1),(296,1),(329,1),(404,1),(436,1)}
       352:{3,4,7}:{(294,1),(297,1),(330,1),(552,1)}
       353:{2,5,6}:{(295,1),(296,1),(401,1),(404,1),(406,1)}
       354:{2,4,6,7}:{(296,1),(297,1),(298,1),(402,1),(405,1),(406,1)}
       355:{1,2,5,7}:{(299,1),(301,1),(307,1),(408,1),(409,1),(430,1),(499,1)}
       356:{1,3,5}:{(299,1),(302,1),(308,1),(407,1),(410,1)}
       357:{2,6}:{(300,1),(301,1)}
       358:{2,3,5,7}:{(301,1),(302,1),(305,1),(309,1),(409,1),(411,1),(412,1),(493,1)}
       359:{2,4}:{(302,1),(306,1),(410,1)}
       360:{2,5,6}:{(303,1),(304,1),(311,1),(414,1),(493,1)}
       361:{3,6}:{(304,1),(305,1)}
       362:{3,4,7}:{(305,1),(306,1),(412,1),(415,1),(424,1)}
       363:{3,4,5}:{(306,1),(314,1),(413,1),(417,1),(480,1)}
       364:{2,3,6}:{(308,1),(388,1),(407,1),(418,1),(419,1),(531,1)}
       365:{1,3,7}:{(307,1),(308,1),(309,1),(418,1)}
       366:{1,3,4,6}:{(308,1),(310,1),(319,1),(389,1),(410,1),(419,1),(420,1),(421,1),(478,1),(486,1),(490,1),(492,1),(501,1),(529,1),(531,1)}
       367:{2,3,4,7}:{(309,1),(310,1),(313,1),(320,1),(412,1),(420,1),(422,1),(479,1),(495,1)}
       368:{2,3,5}:{(310,1),(314,1),(321,1),(413,1),(421,1),(493,1)}
       369:{3,5,7}:{(311,1),(312,1),(414,1),(424,1)}
       370:{3,4,6,7}:{(312,1),(313,1),(315,1),(391,1),(415,1),(424,1),(425,1),(426,1),(482,1),(504,1),(528,1)}
       371:{3,5,7}:{(313,1),(314,1),(316,1),(426,1)}
       372:{3,5,6}:{(314,1),(317,1),(393,1),(417,1),(426,1),(427,1)}
       373:{2,5,7}:{(315,1),(324,1),(394,1),(425,1),(428,1),(493,1)}
       374:{2,4,6}:{(316,1),(325,1),(426,1),(428,1),(432,1),(504,1)}
       375:{2,4,5,7}:{(317,1),(326,1),(396,1),(427,1),(429,1),(433,1),(483,1),(495,1),(528,1),(537,1),(538,1)}
       376:{1,4,7}:{(318,1),(319,1),(320,1),(430,1)}
       377:{1,5}:{(319,1),(321,1)}
       378:{2,5,7}:{(320,1),(321,1),(322,1),(430,1),(432,1)}
       379:{2,5,6}:{(321,1),(323,1),(399,1),(431,1),(432,1),(433,1)}
       380:{1,3,6}:{(322,1),(325,1),(329,1),(426,1),(432,1)}
       381:{1,3,5,7}:{(323,1),(326,1),(330,1),(400,1),(427,1),(433,1),(434,1)}
       382:{1,5,6}:{(324,1),(325,1),(331,1),(428,1)}
       383:{1,4,6,7}:{(325,1),(326,1),(332,1),(429,1),(434,1),(435,1),(506,1)}
       384:{4,5,7}:{(327,1),(328,1),(403,1),(436,1),(546,1),(552,1)}
       385:{3,5,6}:{(328,1),(329,1),(331,1),(436,1)}
       386:{3,6,7}:{(329,1),(330,1),(332,1)}
       387:{2,5,6,7}:{(331,1),(332,1),(406,1),(435,1),(437,1),(549,1)}
       388:{2,3}:{(333,1),(438,1)}
       389:{1,3,4}:{(333,1),(334,1),(342,1),(438,1),(439,1)}
       390:{2,3,5}:{(334,1),(336,1),(343,1),(439,1),(440,1),(512,1)}
       391:{3,4,6}:{(335,1),(337,1),(441,1),(442,1),(509,1)}
       392:{3,5,7}:{(335,1),(336,1),(338,1),(441,1),(442,1),(443,1)}
       393:{3,6}:{(336,1),(339,1),(443,1)}
       394:{2,5}:{(337,1),(345,1),(441,1)}
       395:{2,4,6}:{(338,1),(340,1),(346,1),(442,1),(444,1),(509,1)}
       396:{2,4,7}:{(339,1),(341,1),(347,1),(443,1)}
       397:{2,6,7}:{(340,1),(341,1),(348,1)}
       398:{1,4,5}:{(342,1),(343,1),(377,1),(439,1),(446,1)}
       399:{2,4,6}:{(343,1),(344,1),(379,1),(440,1),(446,1),(447,1),(507,1)}
       400:{1,3,4,7}:{(344,1),(347,1),(352,1),(381,1),(443,1),(447,1),(462,1),(508,1),(518,1),(542,1)}
       401:{1,5,6}:{(345,1),(346,1),(353,1),(444,1),(448,1)}
       402:{1,4,6,7}:{(346,1),(347,1),(348,1),(354,1),(445,1),(448,1)}
       403:{4,5}:{(349,1),(350,1)}
       404:{3,5,6}:{(350,1),(351,1),(353,1),(449,1),(450,1)}
       405:{3,4,6,7}:{(351,1),(352,1),(354,1),(386,1),(450,1),(476,1)}
       406:{2,5,7}:{(353,1),(354,1),(448,1),(450,1)}
       407:{2,3,5}:{(356,1),(364,1),(452,1),(464,1),(512,1)}
       408:{1,2,6}:{(355,1),(357,1),(453,1),(473,1),(523,1)}
       409:{1,3,5,7}:{(355,1),(356,1),(358,1),(365,1),(451,1),(453,1),(454,1),(516,1)}
       410:{1,4}:{(356,1),(359,1),(452,1)}
       411:{2,3,6}:{(357,1),(358,1),(361,1),(453,1),(456,1)}
       412:{2,4,7}:{(358,1),(359,1),(362,1),(454,1),(456,1)}
       413:{2,4,5}:{(359,1),(363,1),(368,1),(455,1),(458,1)}
       414:{3,5,6}:{(360,1),(361,1),(369,1),(459,1),(460,1)}
       415:{3,4,6}:{(361,1),(362,1),(456,1),(459,1),(460,1)}
       416:{3,4,5,7}:{(362,1),(363,1),(371,1),(457,1),(460,1),(461,1),(462,1),(469,1),(522,1)}
       417:{3,4,6}:{(363,1),(372,1),(458,1),(462,1),(509,1)}
       418:{2,3,7}:{(364,1),(365,1),(463,1),(542,1)}
       419:{2,4,6}:{(364,1),(366,1),(438,1),(452,1),(463,1),(464,1),(507,1),(523,1)}
       420:{1,3,4,7}:{(365,1),(366,1),(367,1),(376,1),(454,1),(463,1),(465,1),(508,1),(511,1),(518,1),(542,1)}
       421:{1,3,5}:{(366,1),(368,1),(377,1),(455,1),(464,1),(512,1),(516,1),(540,1)}
       422:{2,3,5,7}:{(367,1),(368,1),(371,1),(378,1),(457,1),(465,1),(467,1)}
       423:{2,3,5,6}:{(368,1),(372,1),(379,1),(440,1),(458,1),(466,1),(467,1),(468,1),(519,1)}
       424:{4,7}:{(369,1),(459,1)}
       425:{3,5,7}:{(370,1),(373,1),(441,1),(460,1),(469,1),(470,1)}
       426:{3,6}:{(371,1),(374,1)}
       427:{3,5,7}:{(372,1),(375,1),(443,1),(462,1),(471,1)}
       428:{2,5,6}:{(373,1),(374,1),(382,1),(470,1)}
       429:{2,4,6,7}:{(374,1),(375,1),(383,1),(471,1),(472,1),(475,1),(526,1)}
       430:{1,5,7}:{(376,1),(377,1),(378,1),(473,1)}
       431:{1,5,6}:{(377,1),(379,1),(446,1),(473,1),(474,1)}
       432:{2,6}:{(378,1),(380,1),(473,1)}
       433:{2,5,7}:{(379,1),(381,1),(447,1),(474,1),(475,1)}
       434:{1,3,6,7}:{(380,1),(381,1),(383,1),(386,1),(471,1),(475,1)}
       435:{1,5,6,7}:{(382,1),(383,1),(387,1),(448,1),(472,1),(545,1)}
       436:{4,6}:{(384,1),(385,1)}
       437:{3,5,6,7}:{(385,1),(386,1),(387,1),(450,1),(476,1),(551,1)}
       438:{2,4}:{(388,1),(389,1),(477,1)}
       439:{1,3,5}:{(389,1),(390,1),(398,1),(477,1),(478,1)}
       440:{2,3,6}:{(390,1),(393,1),(399,1),(478,1),(479,1),(531,1)}
       441:{3,5}:{(391,1),(394,1),(480,1)}
       442:{3,6}:{(392,1),(395,1)}
       443:{3,7}:{(393,1),(396,1)}
       444:{2,5,6}:{(394,1),(395,1),(401,1),(481,1),(483,1)}
       445:{2,4,6,7}:{(395,1),(396,1),(397,1),(402,1),(482,1),(483,1),(528,1)}
       446:{1,4,6}:{(398,1),(399,1),(431,1),(478,1),(484,1)}
       447:{2,4,7}:{(399,1),(400,1),(433,1),(479,1),(484,1),(527,1)}
       448:{1,5,7}:{(401,1),(402,1),(406,1),(483,1)}
       449:{4,5,6}:{(403,1),(404,1),(436,1),(485,1)}
       450:{3,5,7}:{(404,1),(405,1),(406,1),(485,1)}
       451:{2,3,5,7}:{(407,1),(409,1),(418,1),(487,1),(488,1),(499,1),(530,1),(532,1)}
       452:{2,4}:{(407,1),(410,1),(486,1)}
       453:{1,3,6}:{(408,1),(409,1),(411,1),(487,1),(490,1)}
       454:{1,4,7}:{(409,1),(410,1),(412,1),(488,1),(490,1)}
       455:{1,4,5}:{(410,1),(413,1),(421,1),(489,1),(492,1),(546,1)}
       456:{2,4,6}:{(411,1),(412,1),(415,1),(490,1),(493,1)}
       457:{2,4,5,7}:{(412,1),(413,1),(416,1),(422,1),(491,1),(493,1),(494,1),(495,1),(537,1)}
       458:{2,4,6}:{(413,1),(417,1),(423,1),(492,1),(495,1)}
       459:{4,6}:{(414,1),(424,1),(496,1)}
       460:{3,5}:{(415,1),(493,1),(496,1)}
       461:{3,4,6}:{(416,1),(426,1),(494,1),(497,1),(504,1)}
       462:{3,4,7}:{(417,1),(427,1),(495,1),(528,1)}
       463:{2,4,7}:{(418,1),(419,1),(420,1),(499,1),(527,1)}
       464:{2,5}:{(419,1),(421,1)}
       465:{1,3,5,7}:{(420,1),(421,1),(422,1),(430,1),(491,1),(499,1),(501,1),(530,1)}
       466:{1,3,5,6}:{(421,1),(423,1),(431,1),(478,1),(492,1),(500,1),(501,1),(502,1),(531,1),(535,1),(547,1)}
       467:{2,3,6}:{(422,1),(426,1),(432,1),(494,1),(501,1)}
       468:{2,3,5,7}:{(423,1),(427,1),(433,1),(479,1),(495,1),(502,1),(503,1),(537,1)}
       469:{4,5,7}:{(424,1),(425,1),(480,1),(496,1),(504,1),(528,1)}
       470:{3,5,6}:{(425,1),(426,1),(428,1),(504,1)}
       471:{3,6,7}:{(426,1),(427,1),(429,1)}
       472:{2,5,6,7}:{(428,1),(429,1),(435,1),(483,1),(505,1),(537,1)}
       473:{1,6}:{(430,1),(432,1)}
       474:{1,5,7}:{(431,1),(433,1),(484,1),(506,1)}
       475:{2,6,7}:{(432,1),(433,1),(434,1),(506,1)}
       476:{4,6,7}:{(436,1),(437,1),(485,1),(552,1)}
       477:{2,5}:{(438,1),(439,1),(507,1)}
       478:{1,3,6}:{(439,1),(440,1),(446,1),(507,1),(508,1)}
       479:{2,3,7}:{(440,1),(443,1),(447,1),(508,1),(542,1)}
       480:{4,5}:{(441,1),(509,1)}
       481:{3,5,6}:{(441,1),(442,1),(444,1),(509,1),(510,1)}
       482:{3,6,7}:{(442,1),(443,1),(445,1),(510,1)}
       483:{2,5,7}:{(444,1),(445,1),(448,1),(510,1)}
       484:{1,4,7}:{(446,1),(447,1),(474,1),(508,1)}
       485:{4,5,7}:{(449,1),(450,1),(476,1)}
       486:{3,4}:{(452,1),(512,1)}
       487:{2,3,6}:{(451,1),(453,1),(513,1),(523,1),(541,1)}
       488:{2,4,7}:{(451,1),(452,1),(454,1),(511,1),(513,1)}
       489:{2,4,5}:{(452,1),(455,1),(464,1),(512,1),(515,1)}
       490:{1,4,6}:{(453,1),(454,1),(456,1),(513,1),(516,1)}
       491:{1,4,5,7}:{(454,1),(455,1),(457,1),(465,1),(514,1),(516,1),(517,1),(518,1),(545,1)}
       492:{1,4,6}:{(455,1),(458,1),(466,1),(515,1),(518,1),(550,1)}
       493:{2,5}:{(456,1),(460,1),(516,1)}
       494:{2,4,6}:{(457,1),(461,1),(467,1),(517,1),(519,1)}
       495:{2,4,7}:{(458,1),(462,1),(468,1),(518,1)}
       496:{4,5}:{(459,1),(460,1)}
       497:{3,5,6}:{(460,1),(461,1),(519,1),(521,1),(522,1)}
       498:{3,4,6,7}:{(461,1),(462,1),(471,1),(520,1),(522,1),(526,1)}
       499:{2,5,7}:{(463,1),(464,1),(465,1),(523,1)}
       500:{2,5,6}:{(464,1),(466,1),(507,1),(515,1),(523,1),(524,1)}
       501:{1,3,6}:{(465,1),(467,1),(473,1),(517,1),(523,1),(541,1)}
       502:{1,3,5,7}:{(466,1),(468,1),(474,1),(508,1),(518,1),(524,1),(525,1),(542,1),(545,1),(551,1)}
       503:{2,3,6,7}:{(467,1),(468,1),(471,1),(475,1),(520,1),(525,1)}
       504:{4,6}:{(469,1),(470,1)}
       505:{3,5,6,7}:{(470,1),(471,1),(472,1),(510,1),(522,1),(526,1)}
       506:{1,6,7}:{(473,1),(474,1),(475,1)}
       507:{2,6}:{(477,1),(478,1),(527,1)}
       508:{1,3,7}:{(478,1),(479,1),(484,1),(527,1)}
       509:{4,6}:{(480,1),(481,1),(528,1)}
       510:{3,5,7}:{(481,1),(482,1),(483,1),(528,1)}
       511:{3,4,7}:{(486,1),(488,1),(529,1),(530,1),(552,1)}
       512:{3,5}:{(486,1),(489,1),(531,1)}
       513:{2,4,6}:{(487,1),(488,1),(490,1),(529,1),(532,1)}
       514:{2,4,5,7}:{(488,1),(489,1),(491,1),(499,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       515:{2,4,6}:{(489,1),(492,1),(500,1),(531,1),(534,1)}
       516:{1,5}:{(490,1),(493,1),(532,1)}
       517:{1,4,6}:{(491,1),(494,1),(501,1),(533,1),(535,1)}
       518:{1,4,7}:{(492,1),(495,1),(502,1),(534,1),(552,1)}
       519:{2,5,6}:{(493,1),(494,1),(497,1),(535,1),(537,1)}
       520:{2,4,6,7}:{(494,1),(495,1),(498,1),(503,1),(536,1),(537,1)}
       521:{4,5,6}:{(496,1),(497,1),(504,1),(538,1)}
       522:{3,5,7}:{(497,1),(498,1),(537,1),(538,1)}
       523:{2,6}:{(499,1),(501,1)}
       524:{2,5,7}:{(500,1),(502,1),(527,1),(534,1),(539,1)}
       525:{1,3,6,7}:{(501,1),(502,1),(503,1),(506,1),(536,1),(539,1),(548,1)}
       526:{4,6,7}:{(504,1),(505,1),(528,1),(538,1)}
       527:{2,7}:{(507,1),(508,1)}
       528:{4,7}:{(509,1),(510,1)}
       529:{3,4,6}:{(511,1),(513,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(511,1),(512,1),(514,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(512,1),(515,1),(542,1)}
       532:{2,5}:{(513,1),(516,1),(540,1)}
       533:{2,4,6}:{(514,1),(517,1),(523,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(515,1),(518,1),(524,1),(542,1)}
       535:{1,5,6}:{(516,1),(517,1),(519,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(517,1),(518,1),(520,1),(525,1),(544,1),(545,1)}
       537:{2,5,7}:{(519,1),(520,1),(522,1),(545,1)}
       538:{4,5,7}:{(521,1),(522,1),(526,1)}
       539:{2,6,7}:{(523,1),(524,1),(525,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 636 :   0:{3,4,5,6}:{(1,1),(2,1),(89,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(72,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(5,1),(6,1),(105,1),(121,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(10,1),(11,1),(56,1),(118,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(91,1),(117,1)}
         6:{3,4,6,7}:{(2,1),(12,1),(13,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(67,1),(72,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1),(20,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1)}
        10:{2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(42,1),(110,1),(111,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(75,1),(109,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1)}
        13:{3,5,6,7}:{(6,1),(23,1),(24,1),(121,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(82,1),(90,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(32,1),(51,1),(56,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(27,1),(85,1),(91,1)}
        17:{2,5,6}:{(8,1),(26,1),(30,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(27,1),(30,1),(31,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(31,1)}
        20:{3,5,6}:{(10,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(10,1),(11,1),(30,1),(33,1),(34,1),(60,1),(96,1),(98,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(31,1),(34,1),(35,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(35,1),(117,1)}
        24:{4,5,6,7}:{(13,1),(124,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(36,1),(45,1),(65,1),(74,1)}
        26:{2,4,6}:{(15,1),(17,1),(36,1),(38,1),(39,1)}
        27:{1,3,4,7}:{(15,1),(16,1),(18,1),(39,1),(46,1),(69,1),(75,1)}
        28:{1,2,5,6}:{(17,1),(37,1),(40,1),(41,1),(100,1),(119,1)}
        29:{2,3,5,6}:{(17,1),(20,1),(38,1),(40,1),(42,1),(43,1),(70,1),(103,1),(110,1)}
        30:{2,5,7}:{(17,1),(18,1),(39,1),(44,1)}
        31:{1,3,6,7}:{(18,1),(19,1),(22,1),(44,1),(47,1)}
        32:{3,4,6}:{(20,1),(42,1),(45,1),(46,1)}
        33:{3,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(44,1),(47,1),(48,1),(81,1)}
        35:{1,5,6,7}:{(22,1),(23,1),(48,1),(109,1)}
        36:{2,4,5}:{(25,1),(26,1),(50,1)}
        37:{1,2,4,6}:{(26,1),(28,1),(49,1),(51,1),(52,1),(56,1),(84,1)}
        38:{2,3,6}:{(26,1),(50,1),(51,1),(54,1)}
        39:{2,4,7}:{(26,1),(27,1),(30,1),(54,1)}
        40:{1,3,5,6}:{(28,1),(29,1),(51,1),(55,1),(56,1),(57,1),(86,1),(113,1),(118,1)}
        41:{1,2,5,7}:{(28,1),(30,1),(52,1),(57,1),(58,1),(112,1)}
        42:{2,4,6}:{(29,1),(32,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(33,1),(54,1),(57,1),(60,1),(61,1),(96,1)}
        44:{2,6,7}:{(30,1),(31,1)}
        45:{3,4,5}:{(32,1),(59,1)}
        46:{3,4,7}:{(32,1),(33,1),(60,1)}
        47:{3,6,7}:{(33,1),(34,1)}
        48:{2,5,6,7}:{(34,1),(35,1),(64,1),(96,1)}
        49:{1,2,4,5}:{(36,1),(37,1),(65,1),(74,1),(99,1),(100,1)}
        50:{2,3,5}:{(36,1),(38,1),(65,1),(66,1)}
        51:{1,3,6}:{(37,1),(38,1),(65,1),(67,1),(69,1)}
        52:{1,2,4,7}:{(37,1),(39,1),(41,1),(69,1),(75,1),(101,1)}
        53:{2,3,4,6}:{(38,1),(42,1),(66,1),(68,1),(70,1),(71,1),(103,1)}
        54:{2,3,7}:{(38,1),(39,1),(69,1)}
        55:{2,3,5,6}:{(40,1),(67,1),(72,1),(73,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        56:{1,4,6}:{(40,1),(42,1),(72,1),(74,1),(75,1)}
        57:{1,3,5,7}:{(40,1),(41,1),(43,1),(69,1),(73,1),(75,1),(76,1),(109,1)}
        58:{1,2,6,7}:{(41,1),(44,1),(76,1),(119,1)}
        59:{2,4,5}:{(42,1),(45,1),(70,1),(74,1)}
        60:{2,4,7}:{(42,1),(43,1),(46,1),(75,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(47,1),(76,1),(78,1),(103,1)}
        62:{3,4,5,7}:{(45,1),(46,1),(77,1),(79,1),(80,1)}
        63:{3,4,6,7}:{(46,1),(47,1),(78,1),(79,1),(80,1),(81,1)}
        64:{3,5,6,7}:{(47,1),(48,1),(80,1),(81,1)}
        65:{1,3,5}:{(49,1),(50,1),(51,1),(82,1),(83,1)}
        66:{2,3,4}:{(50,1),(83,1)}
        67:{2,3,6}:{(51,1),(82,1),(84,1),(85,1)}
        68:{1,3,4,6}:{(51,1),(53,1),(56,1),(83,1),(84,1),(86,1),(87,1),(89,1),(113,1)}
        69:{1,3,7}:{(51,1),(52,1),(54,1),(85,1)}
        70:{2,3,5}:{(53,1),(59,1),(86,1)}
        71:{2,3,4,7}:{(53,1),(54,1),(60,1),(87,1),(88,1)}
        72:{2,4,6}:{(55,1),(56,1),(89,1),(90,1),(91,1)}
        73:{2,3,5,7}:{(55,1),(57,1),(85,1),(91,1),(92,1),(112,1),(114,1),(117,1)}
        74:{1,4,5}:{(56,1),(59,1),(86,1),(90,1)}
        75:{1,4,7}:{(56,1),(57,1),(60,1),(91,1)}
        76:{1,3,6,7}:{(57,1),(58,1),(61,1),(92,1),(94,1),(113,1)}
        77:{2,4,5,7}:{(59,1),(60,1),(62,1),(88,1),(93,1),(95,1),(96,1)}
        78:{2,4,6,7}:{(60,1),(61,1),(63,1),(94,1),(95,1),(96,1)}
        79:{3,4,6}:{(62,1),(95,1),(97,1)}
        80:{3,5,7}:{(63,1),(96,1),(97,1),(98,1)}
        81:{4,6,7}:{(64,1),(98,1)}
        82:{2,3,5}:{(65,1),(67,1),(99,1),(100,1)}
        83:{1,3,4}:{(65,1),(66,1),(99,1)}
        84:{2,4,6}:{(67,1),(68,1),(99,1),(100,1),(101,1),(119,1)}
        85:{2,3,7}:{(67,1),(69,1),(101,1)}
        86:{1,3,5}:{(68,1),(70,1),(74,1),(100,1),(104,1)}
        87:{1,3,4,7}:{(68,1),(69,1),(71,1),(75,1),(101,1),(102,1),(105,1)}
        88:{2,3,5,7}:{(70,1),(71,1),(77,1),(102,1),(103,1)}
        89:{3,4,6}:{(72,1),(104,1),(105,1),(120,1)}
        90:{2,4,5}:{(72,1),(74,1),(100,1),(104,1)}
        91:{2,4,7}:{(72,1),(73,1),(75,1),(105,1)}
        92:{2,3,6,7}:{(73,1),(76,1),(107,1),(119,1),(120,1)}
        93:{1,4,5,7}:{(74,1),(75,1),(77,1),(102,1),(106,1),(108,1),(109,1)}
        94:{1,4,6,7}:{(75,1),(76,1),(78,1),(107,1),(108,1),(109,1)}
        95:{2,4,6}:{(77,1),(79,1),(103,1),(108,1),(110,1)}
        96:{2,5,7}:{(78,1),(80,1),(109,1),(110,1)}
        97:{3,5,6}:{(79,1),(80,1),(110,1),(111,1)}
        98:{4,5,7}:{(80,1),(81,1),(111,1)}
        99:{2,4}:{(82,1),(83,1)}
       100:{2,5}:{(84,1),(86,1)}
       101:{2,4,7}:{(84,1),(85,1),(87,1),(112,1)}
       102:{1,3,5,7}:{(86,1),(87,1),(88,1),(93,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(88,1),(95,1),(113,1)}
       104:{3,5}:{(89,1),(90,1)}
       105:{3,4,7}:{(89,1),(91,1),(114,1)}
       106:{2,4,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(91,1),(92,1),(94,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(93,1),(95,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(94,1),(96,1),(117,1),(118,1)}
       110:{2,5,6}:{(95,1),(96,1),(97,1),(118,1)}
       111:{4,5,6}:{(97,1),(98,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 637 :   0:{3,5,6,7}:{(2,1),(3,1),(20,1),(21,1),(304,1),(401,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(21,1),(49,1),(58,1),(218,1),(321,1),(400,1),(404,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(38,1),(252,1),(360,1)}
         3:{4,6,7}:{(0,1),(9,1),(354,1),(440,1)}
         4:{4,5,6}:{(9,1),(13,1),(371,1),(440,1)}
         5:{3,4,6}:{(1,1),(13,1),(14,1),(440,1),(445,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(38,1),(76,1),(87,1),(173,1),(274,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(18,1),(61,1),(201,1),(314,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(57,1),(405,1)}
         9:{4,5,7}:{(3,1),(4,1),(21,1)}
        10:{3,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(22,1),(58,1)}
        11:{2,4,5,6}:{(4,1),(19,1),(23,1),(24,1),(27,1),(65,1),(67,1),(220,1),(301,1),(326,1),(396,1),(405,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(25,1),(26,1),(50,1),(404,1),(408,1)}
        13:{3,5,6}:{(4,1),(5,1),(21,1),(27,1),(321,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(27,1),(28,1)}
        15:{1,4,5,7}:{(6,1),(26,1),(28,1),(29,1),(61,1),(108,1),(121,1),(134,1),(227,1)}
        16:{2,3,4,7}:{(12,1),(30,1),(31,1),(87,1),(142,1),(159,1),(173,1),(358,1),(362,1)}
        17:{2,5,6,7}:{(7,1),(32,1),(33,1),(90,1),(154,1),(264,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(33,1),(34,1),(35,1),(86,1),(364,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(34,1),(36,1),(38,1),(85,1),(87,1),(252,1),(255,1),(354,1)}
        20:{3,6,7}:{(8,1),(36,1),(445,1)}
        21:{3,5,7}:{(9,1),(10,1),(13,1),(38,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(37,1),(38,1),(39,1),(87,1)}
        23:{1,4,5,6}:{(11,1),(34,1),(40,1),(41,1),(46,1),(95,1),(98,1),(170,1),(249,1),(279,1),(364,1)}
        24:{3,5,6}:{(11,1),(36,1),(42,1),(272,1),(376,1),(445,1)}
        25:{2,3,6}:{(12,1),(14,1),(44,1),(445,1),(448,1)}
        26:{1,3,5,7}:{(12,1),(15,1),(31,1),(44,1),(45,1),(48,1),(77,1),(447,1)}
        27:{2,5,6}:{(13,1),(14,1),(38,1),(46,1),(274,1)}
        28:{1,4,6}:{(14,1),(15,1),(44,1),(46,1),(47,1)}
        29:{2,4,5,7}:{(15,1),(45,1),(47,1),(48,1),(90,1),(101,1),(148,1),(163,1),(166,1),(181,1),(183,1)}
        30:{2,3,4,6}:{(16,1),(25,1),(50,1),(51,1),(67,1),(130,1),(186,1),(187,1),(222,1),(287,1),(325,1),(330,1)}
        31:{1,3,4,7}:{(16,1),(26,1),(51,1),(52,1),(73,1),(107,1),(121,1),(134,1),(207,1),(211,1),(407,1)}
        32:{3,5,6,7}:{(17,1),(53,1),(55,1),(113,1),(124,1),(215,1)}
        33:{2,4,6,7}:{(17,1),(18,1),(53,1),(54,1),(55,1),(57,1),(316,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(54,1),(56,1),(61,1),(119,1),(121,1),(201,1),(204,1)}
        35:{1,3,6,7}:{(18,1),(20,1),(55,1),(56,1),(57,1),(409,1)}
        36:{3,5,7}:{(19,1),(20,1),(24,1),(58,1),(307,1)}
        37:{2,3,6,7}:{(20,1),(22,1),(25,1),(57,1),(59,1),(60,1)}
        38:{2,5,7}:{(21,1),(22,1),(27,1),(61,1)}
        39:{1,4,6,7}:{(22,1),(28,1),(60,1),(61,1),(62,1),(121,1)}
        40:{2,4,5,6}:{(23,1),(54,1),(63,1),(65,1),(71,1),(112,1),(127,1),(135,1),(139,1),(199,1),(230,1),(316,1)}
        41:{1,3,5,6}:{(23,1),(24,1),(56,1),(63,1),(64,1),(65,1),(331,1),(409,1)}
        42:{3,4,6}:{(24,1),(49,1),(58,1),(67,1),(396,1)}
        43:{2,3,5,6}:{(24,1),(25,1),(27,1),(50,1),(59,1),(65,1),(67,1),(68,1),(130,1)}
        44:{1,3,6}:{(25,1),(26,1),(28,1),(69,1),(72,1),(480,1)}
        45:{2,5,7}:{(26,1),(52,1),(69,1),(109,1)}
        46:{1,5,6}:{(27,1),(28,1),(61,1),(71,1),(227,1)}
        47:{2,4,6}:{(28,1),(29,1),(69,1),(71,1),(72,1),(139,1)}
        48:{3,5,7}:{(29,1),(72,1),(73,1),(140,1),(194,1),(211,1)}
        49:{3,4,5}:{(42,1),(76,1),(338,1),(376,1),(436,1)}
        50:{2,3,5}:{(30,1),(76,1),(77,1),(274,1),(376,1),(380,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(44,1),(77,1),(78,1),(98,1),(103,1),(146,1),(174,1),(177,1),(179,1),(235,1),(241,1),(244,1),(379,1)}
        52:{2,4,7}:{(31,1),(45,1),(78,1),(79,1),(258,1)}
        53:{4,6,7}:{(32,1),(80,1),(166,1),(265,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(40,1),(80,1),(82,1),(85,1),(90,1),(154,1),(156,1),(163,1),(166,1)}
        55:{3,6,7}:{(33,1),(82,1),(366,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(36,1),(41,1),(82,1),(84,1),(85,1)}
        57:{2,6,7}:{(35,1),(85,1),(86,1),(448,1)}
        58:{3,4,7}:{(36,1),(42,1),(87,1),(354,1)}
        59:{2,3,5,7}:{(36,1),(37,1),(38,1),(43,1),(85,1),(87,1),(88,1),(159,1)}
        60:{1,3,6,7}:{(37,1),(39,1),(44,1),(86,1),(88,1),(89,1),(91,1)}
        61:{1,5,7}:{(38,1),(39,1),(46,1),(90,1)}
        62:{2,4,6,7}:{(39,1),(47,1),(89,1),(90,1),(91,1),(163,1),(166,1)}
        63:{3,5,6}:{(40,1),(82,1),(92,1),(179,1),(282,1),(366,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(74,1),(84,1),(92,1),(94,1),(98,1),(170,1),(174,1),(179,1),(272,1)}
        65:{2,5,6}:{(41,1),(85,1),(94,1),(95,1),(380,1),(448,1)}
        66:{1,2,5,7}:{(45,1),(75,1),(96,1),(97,1),(145,1),(238,1),(447,1)}
        67:{2,4,6}:{(42,1),(43,1),(76,1),(87,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(44,1),(46,1),(77,1),(88,1),(95,1),(98,1),(99,1),(102,1),(174,1),(179,1)}
        69:{2,6}:{(44,1),(45,1)}
        70:{2,3,5,7}:{(45,1),(48,1),(79,1),(97,1),(100,1),(101,1),(149,1),(181,1)}
        71:{2,5,6}:{(46,1),(47,1),(90,1),(102,1),(181,1)}
        72:{3,6}:{(47,1),(48,1)}
        73:{3,4,7}:{(48,1),(101,1),(103,1),(166,1),(244,1)}
        74:{1,3,4,5}:{(49,1),(64,1),(105,1),(108,1),(126,1),(189,1),(194,1),(217,1),(292,1),(320,1),(331,1)}
        75:{1,2,4,7}:{(52,1),(66,1),(106,1),(107,1),(134,1),(188,1),(310,1),(407,1)}
        76:{2,4,5}:{(49,1),(50,1),(67,1),(108,1),(287,1)}
        77:{1,3,5}:{(50,1),(51,1),(108,1),(109,1),(140,1),(194,1),(227,1),(422,1)}
        78:{2,4,6}:{(51,1),(52,1),(69,1),(109,1),(110,1),(195,1),(224,1),(286,1)}
        79:{2,3,7}:{(52,1),(107,1),(110,1),(211,1)}
        80:{4,5,7}:{(53,1),(112,1),(113,1)}
        81:{3,4,6,7}:{(53,1),(55,1),(113,1),(114,1),(115,1),(198,1)}
        82:{3,5,7}:{(54,1),(55,1),(63,1),(115,1),(211,1)}
        83:{2,3,6,7}:{(55,1),(57,1),(114,1),(116,1),(117,1),(299,1)}
        84:{1,3,4,7}:{(56,1),(58,1),(64,1),(115,1),(118,1),(121,1),(204,1),(207,1),(211,1),(307,1)}
        85:{2,5,7}:{(56,1),(57,1),(65,1),(118,1),(119,1)}
        86:{1,6,7}:{(57,1),(119,1),(480,1)}
        87:{2,4,7}:{(58,1),(59,1),(67,1),(121,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(61,1),(68,1),(119,1),(121,1),(122,1),(124,1),(207,1),(211,1)}
        89:{2,6,7}:{(60,1),(69,1),(122,1)}
        90:{2,5,7}:{(61,1),(62,1),(71,1),(124,1)}
        91:{3,6,7}:{(62,1),(72,1),(124,1),(211,1)}
        92:{3,4,6}:{(63,1),(115,1),(126,1),(127,1),(139,1)}
        93:{2,3,5,6}:{(63,1),(65,1),(116,1),(127,1),(128,1),(130,1),(199,1),(216,1),(299,1)}
        94:{2,4,6}:{(64,1),(65,1),(105,1),(118,1),(130,1),(131,1),(224,1)}
        95:{1,5,6}:{(65,1),(119,1),(131,1),(422,1),(480,1)}
        96:{1,2,6}:{(66,1),(69,1),(133,1),(289,1),(480,1)}
        97:{1,3,5,7}:{(66,1),(70,1),(107,1),(129,1),(133,1),(134,1),(191,1),(227,1)}
        98:{1,4,6}:{(67,1),(68,1),(108,1),(121,1),(135,1),(139,1)}
        99:{2,5,6}:{(68,1),(69,1),(109,1),(122,1),(135,1),(224,1)}
       100:{2,3,6}:{(69,1),(70,1),(72,1),(133,1),(137,1)}
       101:{2,4,7}:{(70,1),(73,1),(134,1),(137,1),(195,1)}
       102:{3,5,6}:{(71,1),(72,1),(124,1),(139,1),(140,1)}
       103:{3,4,6}:{(72,1),(73,1),(137,1),(139,1),(140,1)}
       104:{3,4,5,7}:{(73,1),(138,1),(140,1),(141,1),(214,1),(234,1),(296,1),(315,1),(393,1)}
       105:{2,4,5}:{(74,1),(94,1),(143,1),(144,1),(239,1),(343,1),(380,1)}
       106:{1,2,4,6}:{(75,1),(78,1),(96,1),(145,1),(146,1),(177,1),(237,1),(241,1),(276,1),(336,1),(379,1)}
       107:{1,3,7}:{(75,1),(79,1),(142,1),(146,1)}
       108:{1,4,5}:{(76,1),(77,1),(98,1),(148,1),(183,1),(241,1)}
       109:{2,5}:{(77,1),(78,1)}
       110:{2,3,6}:{(78,1),(79,1),(146,1),(149,1),(179,1),(337,1)}
       111:{2,3,4,7}:{(79,1),(101,1),(147,1),(150,1),(151,1),(262,1),(348,1),(362,1),(492,1)}
       112:{4,5,6}:{(80,1),(152,1),(265,1),(546,1)}
       113:{3,5,7}:{(80,1),(81,1),(152,1),(154,1)}
       114:{2,4,6,7}:{(81,1),(83,1),(154,1),(155,1),(156,1),(248,1)}
       115:{3,4,7}:{(82,1),(92,1),(156,1),(166,1)}
       116:{2,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(154,1),(156,1),(157,1),(159,1)}
       117:{1,3,6,7}:{(83,1),(86,1),(155,1),(157,1),(158,1),(253,1),(349,1)}
       118:{2,4,7}:{(84,1),(85,1),(94,1),(159,1),(160,1),(258,1)}
       119:{1,5,7}:{(85,1),(86,1),(95,1),(160,1)}
       120:{1,2,6,7}:{(86,1),(89,1),(96,1),(158,1),(161,1),(162,1),(341,1),(433,1),(448,1),(506,1),(537,1)}
       121:{1,4,7}:{(87,1),(88,1),(98,1),(163,1),(166,1)}
       122:{2,5,7}:{(88,1),(89,1),(99,1),(163,1),(258,1)}
       123:{2,3,6,7}:{(89,1),(91,1),(100,1),(162,1),(164,1),(165,1),(366,1),(448,1),(494,1),(537,1),(549,1)}
       124:{3,5,7}:{(90,1),(91,1),(102,1),(166,1)}
       125:{3,4,6,7}:{(91,1),(103,1),(165,1),(166,1),(167,1),(262,1),(265,1),(366,1),(530,1),(549,1),(552,1)}
       126:{3,4,5}:{(92,1),(168,1),(183,1),(282,1),(507,1)}
       127:{2,4,6}:{(92,1),(93,1),(156,1),(168,1),(170,1)}
       128:{1,3,5,6}:{(93,1),(95,1),(157,1),(170,1),(171,1),(174,1),(249,1),(267,1),(272,1),(349,1),(351,1)}
       129:{2,3,5,7}:{(97,1),(142,1),(172,1),(173,1),(236,1),(238,1),(270,1),(274,1)}
       130:{2,3,6}:{(94,1),(143,1),(159,1),(174,1),(179,1),(272,1)}
       131:{1,4,6}:{(94,1),(95,1),(144,1),(160,1),(174,1)}
       132:{1,2,5,6}:{(95,1),(96,1),(99,1),(145,1),(161,1),(171,1),(175,1),(176,1),(276,1),(340,1),(368,1),(380,1),(433,1),(448,1),(459,1),(511,1)}
       133:{1,3,6}:{(96,1),(97,1),(100,1),(172,1),(177,1)}
       134:{1,4,7}:{(97,1),(101,1),(173,1),(177,1),(241,1)}
       135:{2,4,6}:{(98,1),(99,1),(148,1),(163,1),(179,1)}
       136:{2,3,5,6}:{(99,1),(100,1),(102,1),(149,1),(164,1),(176,1),(179,1),(180,1),(181,1),(264,1),(277,1),(282,1),(366,1),(380,1),(448,1),(450,1),(494,1),(511,1),(531,1),(538,1),(547,1)}
       137:{2,4,6}:{(100,1),(101,1),(103,1),(177,1),(181,1)}
       138:{2,4,5,7}:{(101,1),(104,1),(151,1),(178,1),(181,1),(182,1),(245,1),(284,1),(348,1)}
       139:{4,6}:{(102,1),(166,1),(183,1)}
       140:{3,5}:{(103,1),(181,1),(183,1)}
       141:{3,4,6}:{(104,1),(182,1),(184,1),(265,1),(366,1)}
       142:{2,3,7}:{(107,1),(187,1),(188,1),(464,1)}
       143:{2,3,5}:{(105,1),(130,1),(186,1),(189,1),(194,1),(320,1)}
       144:{1,4,5}:{(105,1),(131,1),(189,1),(389,1),(422,1)}
       145:{1,2,5}:{(106,1),(109,1),(191,1),(227,1),(288,1),(422,1)}
       146:{1,3,6}:{(106,1),(107,1),(110,1),(187,1),(191,1),(384,1)}
       147:{1,3,4,7}:{(107,1),(111,1),(134,1),(188,1),(192,1),(193,1),(218,1),(392,1),(407,1),(464,1),(514,1)}
       148:{2,4,5}:{(108,1),(109,1),(135,1),(194,1),(195,1)}
       149:{2,3,5}:{(109,1),(110,1),(191,1),(194,1),(195,1)}
       150:{2,3,4,6}:{(110,1),(111,1),(137,1),(192,1),(195,1),(196,1),(197,1),(229,1),(297,1),(330,1),(385,1),(463,1)}
       151:{2,3,5,7}:{(111,1),(138,1),(193,1),(196,1),(197,1),(315,1),(408,1)}
       152:{3,5,6}:{(112,1),(113,1),(198,1),(199,1),(540,1)}
       153:{3,4,5,7}:{(113,1),(115,1),(126,1),(198,1),(200,1),(214,1),(315,1),(519,1),(540,1)}
       154:{2,5,7}:{(113,1),(114,1),(199,1),(201,1)}
       155:{1,4,6,7}:{(114,1),(117,1),(201,1),(202,1),(204,1),(300,1)}
       156:{2,4,7}:{(115,1),(116,1),(127,1),(204,1)}
       157:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(201,1),(204,1),(205,1),(207,1),(304,1),(307,1)}
       158:{2,6,7}:{(117,1),(205,1),(394,1)}
       159:{2,3,7}:{(118,1),(130,1),(207,1),(211,1),(307,1)}
       160:{1,4,7}:{(118,1),(119,1),(131,1),(207,1)}
       161:{1,2,5,7}:{(119,1),(120,1),(122,1),(132,1),(205,1),(208,1),(209,1),(310,1),(388,1),(408,1),(489,1),(528,1)}
       162:{1,3,6,7}:{(120,1),(123,1),(133,1),(206,1),(209,1),(210,1),(409,1),(467,1),(480,1)}
       163:{2,4,7}:{(121,1),(122,1),(135,1),(211,1)}
       164:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(209,1),(211,1),(212,1),(213,1),(311,1),(315,1),(408,1),(528,1),(545,1),(551,1)}
       165:{2,4,6,7}:{(123,1),(125,1),(137,1),(210,1),(212,1),(213,1),(316,1),(515,1)}
       166:{4,7}:{(124,1),(139,1)}
       167:{3,5,7}:{(125,1),(140,1),(213,1),(214,1),(215,1),(540,1)}
       168:{2,4,5}:{(126,1),(127,1),(216,1),(217,1),(482,1)}
       169:{2,3,4,6}:{(127,1),(130,1),(186,1),(203,1),(216,1),(219,1),(229,1),(299,1),(330,1),(417,1),(482,1),(515,1)}
       170:{1,4,6}:{(127,1),(128,1),(204,1),(217,1),(220,1),(396,1)}
       171:{2,5,6}:{(128,1),(205,1),(220,1),(224,1),(319,1),(394,1)}
       172:{2,3,6}:{(129,1),(133,1),(222,1),(289,1),(322,1)}
       173:{2,4,7}:{(129,1),(134,1),(218,1),(222,1),(287,1)}
       174:{1,3,6}:{(130,1),(131,1),(189,1),(207,1),(224,1)}
       175:{1,2,4,6}:{(131,1),(132,1),(135,1),(190,1),(208,1),(220,1),(224,1),(225,1),(226,1),(330,1),(387,1),(465,1),(513,1),(526,1)}
       176:{1,3,5,6}:{(132,1),(133,1),(136,1),(191,1),(209,1),(221,1),(225,1),(226,1),(227,1),(314,1),(329,1),(331,1),(409,1),(412,1),(422,1),(467,1),(480,1),(516,1)}
       177:{1,4,6}:{(133,1),(134,1),(137,1),(222,1),(227,1)}
       178:{1,4,5,7}:{(134,1),(138,1),(193,1),(223,1),(227,1),(228,1),(293,1),(333,1),(392,1)}
       179:{3,6}:{(135,1),(194,1),(211,1)}
       180:{2,4,6}:{(136,1),(139,1),(195,1),(212,1),(226,1),(229,1),(230,1),(482,1),(550,1)}
       181:{2,5}:{(137,1),(140,1),(227,1)}
       182:{2,4,6}:{(138,1),(141,1),(197,1),(228,1),(231,1)}
       183:{4,5}:{(139,1),(140,1)}
       184:{3,5,6}:{(140,1),(141,1),(231,1),(233,1),(234,1)}
       185:{3,4,6,7}:{(141,1),(232,1),(234,1),(318,1),(393,1),(411,1)}
       186:{2,3,4}:{(143,1),(235,1),(244,1),(343,1),(370,1),(425,1)}
       187:{2,3,6}:{(142,1),(146,1),(236,1),(237,1),(425,1),(428,1)}
       188:{2,4,7}:{(142,1),(147,1),(237,1),(238,1),(529,1)}
       189:{1,3,5}:{(143,1),(144,1),(174,1),(235,1),(239,1)}
       190:{1,2,4,5}:{(144,1),(145,1),(148,1),(175,1),(239,1),(240,1),(241,1),(268,1),(279,1),(336,1),(339,1),(343,1),(368,1),(380,1),(430,1),(451,1),(490,1),(508,1)}
       191:{1,3,5}:{(145,1),(146,1),(149,1),(236,1),(241,1)}
       192:{1,3,4,6}:{(146,1),(147,1),(150,1),(177,1),(237,1),(241,1),(242,1),(243,1),(269,1),(338,1),(345,1),(379,1),(426,1),(428,1),(491,1)}
       193:{1,3,5,7}:{(147,1),(151,1),(178,1),(238,1),(242,1),(243,1),(270,1),(447,1)}
       194:{3,5}:{(148,1),(179,1),(244,1)}
       195:{2,4}:{(149,1),(241,1),(244,1)}
       196:{2,3,5}:{(150,1),(181,1),(242,1),(245,1),(282,1),(380,1)}
       197:{2,3,6}:{(151,1),(182,1),(243,1),(366,1),(448,1)}
       198:{3,4,6}:{(152,1),(153,1),(248,1),(265,1),(366,1)}
       199:{2,5,6}:{(152,1),(154,1),(248,1),(249,1),(531,1)}
       200:{2,4,5,7}:{(153,1),(154,1),(156,1),(168,1),(248,1),(250,1),(251,1),(499,1),(531,1)}
       201:{1,5,7}:{(154,1),(155,1),(249,1),(252,1)}
       202:{2,4,6,7}:{(155,1),(158,1),(252,1),(253,1),(255,1),(350,1),(354,1)}
       203:{2,3,4,7}:{(156,1),(159,1),(169,1),(250,1),(254,1),(262,1),(362,1),(442,1),(499,1)}
       204:{1,4,7}:{(156,1),(157,1),(170,1),(255,1),(354,1)}
       205:{2,5,7}:{(157,1),(158,1),(171,1),(255,1),(258,1)}
       206:{2,3,6,7}:{(158,1),(162,1),(172,1),(253,1),(256,1),(257,1),(341,1),(373,1),(434,1),(445,1),(448,1)}
       207:{1,3,7}:{(159,1),(160,1),(174,1),(258,1)}
       208:{1,2,4,7}:{(160,1),(161,1),(163,1),(175,1),(255,1),(258,1),(259,1),(260,1),(362,1),(429,1),(493,1),(529,1),(539,1)}
       209:{1,3,5,7}:{(161,1),(162,1),(164,1),(176,1),(256,1),(259,1),(260,1),(261,1),(361,1),(447,1)}
       210:{1,4,6,7}:{(162,1),(165,1),(177,1),(257,1),(260,1),(261,1),(364,1),(495,1)}
       211:{3,7}:{(163,1),(179,1)}
       212:{2,4,7}:{(164,1),(166,1),(180,1),(260,1),(262,1),(552,1)}
       213:{2,5,7}:{(165,1),(167,1),(181,1),(261,1),(264,1),(531,1)}
       214:{4,5,7}:{(166,1),(167,1),(183,1),(265,1),(546,1),(552,1)}
       215:{3,5,6}:{(167,1),(264,1),(265,1),(366,1)}
       216:{2,3,5}:{(168,1),(169,1),(267,1),(282,1),(380,1),(531,1)}
       217:{1,4,5}:{(168,1),(170,1),(267,1),(268,1),(436,1),(451,1)}
       218:{3,4,7}:{(173,1),(269,1),(270,1),(338,1),(454,1)}
       219:{1,3,4,6}:{(169,1),(170,1),(174,1),(235,1),(254,1),(267,1),(271,1),(272,1),(349,1),(370,1),(374,1),(379,1),(435,1),(451,1),(495,1)}
       220:{2,4,6}:{(170,1),(171,1),(255,1),(268,1),(272,1)}
       221:{2,3,5,6}:{(171,1),(172,1),(176,1),(236,1),(256,1),(272,1),(273,1),(274,1),(277,1),(340,1),(351,1),(360,1),(369,1),(372,1),(376,1),(380,1),(428,1),(434,1),(445,1),(448,1),(496,1)}
       222:{2,4,6}:{(172,1),(173,1),(177,1),(269,1),(274,1)}
       223:{2,4,5,7}:{(173,1),(178,1),(238,1),(270,1),(274,1),(275,1),(339,1),(371,1),(378,1),(429,1),(454,1)}
       224:{2,6}:{(174,1),(239,1),(258,1)}
       225:{1,3,6}:{(175,1),(179,1),(240,1),(259,1),(272,1),(277,1),(428,1),(538,1)}
       226:{1,4,6}:{(176,1),(180,1),(241,1),(260,1),(273,1),(279,1),(451,1)}
       227:{1,5}:{(177,1),(181,1),(274,1)}
       228:{1,4,6}:{(178,1),(182,1),(243,1),(275,1),(280,1)}
       229:{3,4,6}:{(179,1),(180,1),(244,1),(262,1),(282,1),(366,1),(507,1),(538,1)}
       230:{2,4,5}:{(180,1),(181,1),(183,1),(279,1),(282,1),(380,1),(531,1),(546,1)}
       231:{2,5,6}:{(181,1),(182,1),(184,1),(280,1),(284,1)}
       232:{2,4,6,7}:{(182,1),(185,1),(247,1),(281,1),(284,1),(348,1)}
       233:{4,5,6}:{(183,1),(184,1),(265,1),(285,1)}
       234:{3,5,7}:{(184,1),(185,1),(284,1),(285,1)}
       235:{1,3,4}:{(186,1),(189,1),(286,1),(384,1),(389,1)}
       236:{2,3,5}:{(187,1),(191,1),(287,1),(288,1),(386,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(287,1),(288,1),(289,1),(461,1),(513,1)}
       238:{2,5,7}:{(188,1),(193,1),(288,1),(289,1)}
       239:{2,5}:{(189,1),(224,1),(286,1)}
       240:{1,3,5}:{(190,1),(194,1),(225,1),(291,1),(292,1),(320,1),(384,1),(386,1),(525,1)}
       241:{1,4}:{(191,1),(195,1),(287,1)}
       242:{1,3,5}:{(192,1),(196,1),(227,1),(288,1),(293,1),(321,1),(386,1),(422,1)}
       243:{1,3,6}:{(193,1),(197,1),(228,1),(289,1),(322,1),(480,1)}
       244:{3,4}:{(194,1),(195,1)}
       245:{2,4,5}:{(195,1),(196,1),(293,1),(296,1),(297,1)}
       246:{2,3,5,6}:{(196,1),(197,1),(231,1),(294,1),(297,1),(298,1),(334,1),(423,1),(463,1)}
       247:{2,3,6,7}:{(197,1),(232,1),(295,1),(298,1),(411,1),(481,1)}
       248:{2,4,6}:{(198,1),(199,1),(200,1),(299,1),(300,1)}
       249:{1,5,6}:{(199,1),(201,1),(300,1),(301,1),(516,1)}
       250:{2,3,5,7}:{(200,1),(203,1),(216,1),(299,1),(302,1),(315,1),(408,1)}
       251:{1,4,5,7}:{(200,1),(201,1),(204,1),(217,1),(300,1),(302,1),(303,1),(472,1),(516,1)}
       252:{2,5,7}:{(201,1),(202,1),(301,1),(304,1)}
       253:{3,6,7}:{(202,1),(304,1),(307,1),(395,1)}
       254:{1,3,4,7}:{(203,1),(204,1),(207,1),(219,1),(302,1),(306,1),(307,1),(399,1),(402,1),(407,1),(472,1)}
       255:{2,4,7}:{(204,1),(205,1),(220,1),(307,1)}
       256:{2,3,5,7}:{(205,1),(206,1),(209,1),(221,1),(304,1),(307,1),(308,1),(309,1),(311,1),(388,1),(404,1),(408,1),(416,1),(464,1)}
       257:{2,4,6,7}:{(206,1),(210,1),(222,1),(305,1),(308,1),(309,1),(405,1),(468,1)}
       258:{2,7}:{(207,1),(224,1)}
       259:{1,3,7}:{(208,1),(211,1),(225,1),(307,1),(311,1),(464,1),(545,1)}
       260:{1,4,7}:{(209,1),(212,1),(226,1),(308,1)}
       261:{1,5,7}:{(210,1),(213,1),(227,1),(309,1),(314,1),(516,1)}
       262:{3,4,7}:{(211,1),(212,1),(229,1),(315,1),(545,1)}
       263:{2,4,5,7}:{(212,1),(213,1),(214,1),(230,1),(313,1),(315,1),(316,1),(408,1)}
       264:{2,5,6}:{(213,1),(215,1),(314,1),(316,1)}
       265:{4,6}:{(214,1),(215,1)}
       266:{3,5,6,7}:{(215,1),(234,1),(317,1),(318,1),(411,1),(551,1)}
       267:{1,3,5}:{(216,1),(217,1),(219,1),(319,1),(320,1),(422,1),(469,1),(516,1)}
       268:{2,4,5}:{(217,1),(220,1),(319,1),(320,1),(413,1)}
       269:{3,4,6}:{(218,1),(222,1),(321,1),(322,1),(415,1)}
       270:{3,5,7}:{(218,1),(223,1),(321,1),(322,1),(386,1),(464,1)}
       271:{2,4,6}:{(219,1),(224,1),(286,1),(306,1),(319,1),(324,1),(394,1),(413,1)}
       272:{3,6}:{(220,1),(307,1),(320,1)}
       273:{2,4,6}:{(221,1),(226,1),(287,1),(308,1),(325,1),(326,1),(396,1),(413,1),(415,1)}
       274:{2,5}:{(222,1),(227,1),(321,1)}
       275:{2,4,6}:{(223,1),(228,1),(289,1),(322,1),(327,1),(415,1)}
       276:{1,2,6}:{(224,1),(290,1),(310,1),(329,1),(513,1)}
       277:{2,3,6}:{(224,1),(225,1),(291,1),(311,1),(329,1),(330,1),(513,1)}
       278:{1,3,4,6}:{(225,1),(226,1),(229,1),(292,1),(312,1),(325,1),(330,1),(331,1),(409,1)}
       279:{1,4,5}:{(226,1),(227,1),(230,1),(326,1),(331,1),(422,1),(516,1)}
       280:{1,5,6}:{(227,1),(228,1),(231,1),(327,1),(333,1)}
       281:{1,4,6,7}:{(228,1),(232,1),(295,1),(328,1),(333,1),(392,1)}
       282:{3,5}:{(229,1),(230,1)}
       283:{2,4,5,6}:{(230,1),(231,1),(233,1),(297,1),(316,1),(332,1),(334,1),(335,1),(423,1),(526,1),(541,1),(550,1)}
       284:{2,5,7}:{(231,1),(232,1),(234,1),(333,1)}
       285:{4,5,7}:{(233,1),(234,1),(318,1)}
       286:{2,4}:{(235,1),(239,1),(337,1)}
       287:{2,4}:{(236,1),(241,1),(338,1)}
       288:{2,5}:{(237,1),(242,1)}
       289:{2,6}:{(238,1),(243,1)}
       290:{1,2,5}:{(239,1),(276,1),(336,1),(342,1),(490,1)}
       291:{2,3,5}:{(239,1),(240,1),(277,1),(337,1),(342,1),(343,1),(380,1),(425,1),(490,1)}
       292:{1,3,4}:{(240,1),(241,1),(244,1),(338,1),(343,1),(370,1),(451,1),(507,1)}
       293:{1,4,5}:{(241,1),(242,1),(245,1),(339,1),(345,1),(371,1)}
       294:{1,3,5,6}:{(242,1),(243,1),(246,1),(280,1),(340,1),(345,1),(346,1),(372,1),(428,1),(459,1),(491,1)}
       295:{1,3,6,7}:{(243,1),(247,1),(281,1),(341,1),(346,1),(373,1),(506,1)}
       296:{3,4,5}:{(244,1),(245,1),(282,1),(347,1),(546,1)}
       297:{2,4,6}:{(245,1),(246,1),(345,1),(347,1),(348,1)}
       298:{2,3,5,7}:{(246,1),(247,1),(284,1),(346,1),(348,1),(383,1),(460,1),(492,1)}
       299:{2,3,6}:{(248,1),(250,1),(349,1),(366,1),(448,1)}
       300:{1,4,6}:{(248,1),(249,1),(251,1),(349,1),(350,1)}
       301:{2,5,6}:{(249,1),(252,1),(350,1),(351,1),(496,1)}
       302:{1,3,5,7}:{(250,1),(251,1),(254,1),(267,1),(349,1),(352,1),(353,1),(447,1)}
       303:{2,4,5,7}:{(251,1),(252,1),(255,1),(268,1),(350,1),(352,1),(353,1),(354,1),(436,1),(438,1),(496,1)}
       304:{3,5,7}:{(252,1),(253,1),(351,1),(354,1)}
       305:{3,4,6,7}:{(253,1),(257,1),(269,1),(354,1),(355,1),(358,1),(373,1),(435,1),(440,1),(445,1),(454,1)}
       306:{2,4,7}:{(254,1),(258,1),(271,1),(352,1),(357,1)}
       307:{3,7}:{(255,1),(272,1)}
       308:{2,4,7}:{(256,1),(260,1),(273,1),(354,1),(358,1),(454,1)}
       309:{2,5,7}:{(257,1),(261,1),(274,1),(355,1),(360,1),(496,1)}
       310:{1,2,7}:{(258,1),(276,1),(361,1),(529,1)}
       311:{2,3,7}:{(258,1),(259,1),(277,1),(361,1),(362,1),(529,1)}
       312:{1,3,4,7}:{(259,1),(260,1),(262,1),(278,1),(358,1),(362,1),(363,1)}
       313:{1,4,5,7}:{(260,1),(261,1),(263,1),(279,1),(359,1),(363,1),(364,1),(447,1)}
       314:{1,5,6}:{(261,1),(264,1),(360,1),(364,1)}
       315:{3,5,7}:{(262,1),(263,1),(282,1),(366,1)}
       316:{2,4,6}:{(263,1),(264,1),(265,1),(364,1),(366,1),(448,1)}
       317:{2,5,6,7}:{(264,1),(266,1),(284,1),(365,1),(367,1),(548,1)}
       318:{4,6,7}:{(265,1),(266,1),(285,1),(552,1)}
       319:{2,5}:{(267,1),(271,1)}
       320:{3,5}:{(268,1),(272,1),(370,1)}
       321:{3,5}:{(269,1),(274,1),(371,1)}
       322:{3,6}:{(270,1),(275,1)}
       323:{1,2,4,6}:{(271,1),(276,1),(336,1),(356,1),(368,1),(374,1),(379,1),(433,1),(451,1),(455,1),(495,1)}
       324:{2,3,6}:{(271,1),(272,1),(337,1),(357,1),(369,1),(374,1)}
       325:{3,4,6}:{(272,1),(273,1),(338,1),(358,1),(370,1),(376,1),(428,1),(445,1)}
       326:{2,4,5}:{(273,1),(274,1),(279,1),(371,1),(376,1),(380,1),(436,1),(496,1)}
       327:{2,5,6}:{(274,1),(275,1),(280,1),(372,1),(378,1)}
       328:{2,4,6,7}:{(275,1),(281,1),(341,1),(373,1),(378,1),(429,1),(454,1)}
       329:{1,3,6}:{(276,1),(277,1),(342,1),(361,1),(379,1)}
       330:{2,4,6}:{(277,1),(278,1),(343,1),(362,1),(379,1),(380,1),(448,1)}
       331:{1,3,5}:{(278,1),(279,1),(282,1),(376,1),(380,1)}
       332:{1,4,5,6}:{(279,1),(280,1),(283,1),(345,1),(364,1),(377,1),(381,1),(382,1),(459,1),(509,1),(532,1)}
       333:{1,5,7}:{(280,1),(281,1),(284,1),(378,1)}
       334:{3,5,6}:{(282,1),(283,1),(347,1),(366,1),(383,1),(538,1)}
       335:{2,4,5,7}:{(283,1),(284,1),(285,1),(348,1),(367,1),(382,1),(383,1),(460,1),(539,1),(548,1),(552,1)}
       336:{1,2,4}:{(286,1),(290,1),(384,1),(389,1),(461,1)}
       337:{2,3}:{(286,1),(384,1)}
       338:{3,4}:{(287,1),(386,1)}
       339:{2,4,5}:{(287,1),(288,1),(293,1),(386,1),(387,1)}
       340:{2,5,6}:{(288,1),(289,1),(294,1),(387,1),(388,1),(513,1)}
       341:{2,6,7}:{(289,1),(295,1),(388,1)}
       342:{1,3,5}:{(290,1),(291,1),(329,1),(384,1),(389,1),(422,1)}
       343:{2,4}:{(291,1),(292,1),(389,1)}
       344:{1,3,4,5}:{(292,1),(293,1),(296,1),(331,1),(386,1),(390,1),(391,1),(414,1),(462,1),(483,1),(525,1)}
       345:{1,4,6}:{(293,1),(294,1),(297,1),(387,1),(392,1),(415,1)}
       346:{1,3,5,7}:{(294,1),(295,1),(298,1),(333,1),(388,1),(392,1),(416,1),(464,1),(489,1),(514,1)}
       347:{3,4,6}:{(296,1),(297,1),(334,1),(393,1),(550,1)}
       348:{2,4,7}:{(297,1),(298,1),(392,1),(393,1)}
       349:{1,3,6}:{(299,1),(300,1),(302,1),(394,1),(395,1),(480,1)}
       350:{2,4,6}:{(300,1),(301,1),(303,1),(394,1),(395,1),(396,1)}
       351:{3,5,6}:{(301,1),(304,1),(395,1),(396,1),(469,1)}
       352:{2,5,7}:{(302,1),(306,1),(319,1),(394,1)}
       353:{3,5,7}:{(303,1),(307,1),(320,1),(395,1),(399,1),(469,1)}
       354:{4,7}:{(304,1),(396,1)}
       355:{3,5,7}:{(305,1),(309,1),(321,1),(400,1),(401,1),(469,1)}
       356:{1,2,4,7}:{(306,1),(310,1),(323,1),(397,1),(402,1),(407,1),(472,1),(476,1)}
       357:{2,3,7}:{(306,1),(307,1),(324,1),(402,1)}
       358:{3,4,7}:{(307,1),(308,1),(325,1),(404,1),(464,1)}
       359:{2,4,5,7}:{(308,1),(309,1),(313,1),(326,1),(400,1),(404,1),(405,1),(408,1)}
       360:{2,5,6}:{(309,1),(314,1),(401,1),(405,1)}
       361:{1,3,7}:{(310,1),(311,1),(329,1),(407,1)}
       362:{2,4,7}:{(311,1),(312,1),(330,1),(407,1),(408,1)}
       363:{1,3,5,7}:{(312,1),(313,1),(315,1),(331,1),(404,1),(408,1),(409,1)}
       364:{1,4,6}:{(313,1),(314,1),(316,1),(405,1),(409,1),(480,1)}
       365:{1,5,6,7}:{(314,1),(317,1),(333,1),(406,1),(410,1),(542,1)}
       366:{3,6}:{(315,1),(316,1)}
       367:{2,4,6,7}:{(316,1),(317,1),(318,1),(335,1),(410,1),(411,1),(481,1)}
       368:{1,2,5}:{(319,1),(323,1),(412,1),(422,1),(486,1),(516,1)}
       369:{2,3,5}:{(319,1),(320,1),(324,1),(412,1),(413,1)}
       370:{3,4}:{(320,1),(413,1)}
       371:{4,5}:{(321,1),(415,1)}
       372:{3,5,6}:{(321,1),(322,1),(327,1),(415,1),(416,1)}
       373:{3,6,7}:{(322,1),(328,1),(416,1),(464,1)}
       374:{1,3,6}:{(323,1),(324,1),(384,1),(402,1),(412,1),(417,1)}
       375:{2,3,4,6}:{(324,1),(325,1),(330,1),(385,1),(403,1),(413,1),(418,1),(419,1),(463,1),(468,1),(478,1),(484,1)}
       376:{3,5}:{(325,1),(326,1)}
       377:{2,4,5,6}:{(326,1),(327,1),(332,1),(387,1),(405,1),(415,1),(420,1),(421,1),(423,1),(470,1),(484,1),(517,1)}
       378:{2,5,7}:{(327,1),(328,1),(333,1),(416,1)}
       379:{1,4,6}:{(329,1),(330,1),(389,1),(407,1),(422,1),(480,1)}
       380:{2,5}:{(330,1),(331,1),(422,1)}
       381:{1,3,5,6}:{(331,1),(332,1),(334,1),(391,1),(409,1),(420,1),(423,1),(424,1)}
       382:{1,4,5,7}:{(332,1),(333,1),(335,1),(392,1),(410,1),(421,1),(424,1),(489,1),(527,1),(542,1)}
       383:{3,5,7}:{(334,1),(335,1),(393,1),(411,1),(545,1)}
       384:{1,3}:{(336,1),(337,1),(425,1)}
       385:{2,3,4}:{(337,1),(338,1),(343,1),(426,1),(427,1),(507,1)}
       386:{3,5}:{(338,1),(339,1),(428,1)}
       387:{2,4,6}:{(339,1),(340,1),(345,1),(428,1),(429,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(429,1),(529,1)}
       389:{1,4}:{(342,1),(343,1)}
       390:{2,4,5}:{(343,1),(344,1),(380,1),(427,1),(430,1),(431,1),(490,1)}
       391:{1,3,4,6}:{(344,1),(345,1),(347,1),(381,1),(428,1),(431,1),(432,1),(453,1),(491,1),(509,1),(538,1)}
       392:{1,4,7}:{(345,1),(346,1),(348,1),(429,1),(454,1)}
       393:{3,4,7}:{(347,1),(348,1),(383,1),(552,1)}
       394:{2,6}:{(349,1),(352,1)}
       395:{3,6}:{(350,1),(353,1)}
       396:{4,6}:{(351,1),(354,1),(436,1)}
       397:{1,2,5,7}:{(352,1),(356,1),(368,1),(433,1),(437,1),(447,1),(503,1)}
       398:{2,3,5,7}:{(352,1),(353,1),(357,1),(369,1),(434,1),(437,1),(438,1),(496,1)}
       399:{3,4,7}:{(353,1),(354,1),(370,1),(435,1),(438,1)}
       400:{4,5,7}:{(354,1),(355,1),(371,1),(436,1),(440,1),(454,1)}
       401:{3,5,6}:{(355,1),(360,1),(440,1),(445,1)}
       402:{1,3,7}:{(356,1),(357,1),(374,1),(442,1)}
       403:{2,3,4,7}:{(357,1),(358,1),(362,1),(375,1),(438,1),(443,1),(444,1),(492,1),(510,1)}
       404:{3,5,7}:{(358,1),(359,1),(376,1),(445,1)}
       405:{2,4,6}:{(359,1),(360,1),(364,1),(440,1),(445,1),(448,1)}
       406:{2,5,6,7}:{(360,1),(365,1),(378,1),(441,1),(446,1),(533,1)}
       407:{1,4,7}:{(361,1),(362,1),(379,1),(447,1)}
       408:{2,5,7}:{(362,1),(363,1),(380,1),(447,1),(448,1)}
       409:{1,3,6}:{(363,1),(364,1),(366,1),(445,1),(448,1)}
       410:{1,4,6,7}:{(364,1),(365,1),(367,1),(382,1),(446,1),(449,1),(506,1)}
       411:{3,6,7}:{(366,1),(367,1),(383,1)}
       412:{1,3,5}:{(368,1),(369,1),(374,1),(450,1),(451,1)}
       413:{2,4}:{(369,1),(370,1),(451,1)}
       414:{3,4,5}:{(370,1),(371,1),(376,1),(452,1),(453,1)}
       415:{4,6}:{(371,1),(372,1),(454,1)}
       416:{3,5,7}:{(372,1),(373,1),(378,1),(454,1)}
       417:{2,3,6}:{(374,1),(425,1),(442,1),(450,1),(455,1),(538,1)}
       418:{1,3,4,6}:{(374,1),(375,1),(379,1),(426,1),(443,1),(451,1),(455,1),(456,1),(491,1),(495,1),(504,1),(507,1),(509,1),(530,1),(538,1)}
       419:{2,3,5}:{(375,1),(376,1),(380,1),(452,1),(456,1),(496,1)}
       420:{3,5,6}:{(376,1),(377,1),(428,1),(445,1),(453,1),(458,1)}
       421:{2,4,5,7}:{(377,1),(378,1),(382,1),(429,1),(446,1),(454,1),(458,1),(460,1),(498,1),(510,1),(533,1)}
       422:{1,5}:{(379,1),(380,1)}
       423:{2,5,6}:{(380,1),(381,1),(431,1),(448,1),(459,1),(460,1)}
       424:{1,3,5,7}:{(381,1),(382,1),(383,1),(432,1),(449,1),(458,1),(460,1)}
       425:{2,3}:{(384,1),(461,1)}
       426:{1,3,4}:{(384,1),(385,1),(389,1),(461,1),(462,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(462,1),(463,1),(525,1)}
       428:{3,6}:{(386,1),(387,1),(464,1)}
       429:{2,4,7}:{(387,1),(388,1),(392,1),(464,1)}
       430:{1,4,5}:{(389,1),(390,1),(422,1),(462,1),(465,1)}
       431:{2,4,6}:{(390,1),(391,1),(423,1),(463,1),(465,1),(466,1),(513,1)}
       432:{1,3,4,7}:{(391,1),(392,1),(393,1),(424,1),(464,1),(466,1),(485,1),(514,1),(527,1),(545,1)}
       433:{1,2,6}:{(394,1),(397,1),(467,1),(480,1),(523,1)}
       434:{2,3,6}:{(394,1),(395,1),(398,1),(467,1),(468,1)}
       435:{3,4,6}:{(395,1),(396,1),(399,1),(468,1),(469,1)}
       436:{4,5}:{(396,1),(469,1)}
       437:{1,3,5,7}:{(397,1),(398,1),(402,1),(412,1),(467,1),(471,1),(472,1),(516,1)}
       438:{2,4,7}:{(398,1),(399,1),(413,1),(468,1),(472,1)}
       439:{3,4,5,7}:{(399,1),(400,1),(404,1),(414,1),(469,1),(473,1),(474,1),(485,1),(518,1)}
       440:{4,6}:{(400,1),(401,1)}
       441:{3,5,6,7}:{(401,1),(406,1),(416,1),(475,1),(479,1),(518,1)}
       442:{2,3,7}:{(402,1),(417,1),(476,1),(545,1)}
       443:{1,3,4,7}:{(402,1),(403,1),(407,1),(418,1),(472,1),(476,1),(477,1),(514,1),(519,1),(527,1),(545,1)}
       444:{2,3,5,7}:{(403,1),(404,1),(408,1),(419,1),(473,1),(477,1),(478,1)}
       445:{3,6}:{(404,1),(405,1)}
       446:{2,4,6,7}:{(405,1),(406,1),(410,1),(421,1),(475,1),(479,1),(481,1)}
       447:{1,5,7}:{(407,1),(408,1),(422,1),(480,1)}
       448:{2,6}:{(408,1),(409,1),(480,1)}
       449:{1,3,6,7}:{(409,1),(410,1),(411,1),(424,1),(479,1),(481,1)}
       450:{2,3,5}:{(412,1),(417,1),(482,1),(486,1),(525,1)}
       451:{1,4}:{(412,1),(413,1),(482,1)}
       452:{2,4,5}:{(413,1),(414,1),(419,1),(483,1),(484,1)}
       453:{3,4,6}:{(414,1),(415,1),(420,1),(484,1),(485,1)}
       454:{4,7}:{(415,1),(416,1)}
       455:{2,4,6}:{(417,1),(418,1),(461,1),(476,1),(482,1),(486,1),(513,1),(523,1)}
       456:{1,3,5}:{(418,1),(419,1),(422,1),(483,1),(486,1),(516,1),(525,1),(540,1)}
       457:{2,3,5,6}:{(419,1),(420,1),(423,1),(463,1),(478,1),(484,1),(487,1),(488,1),(517,1)}
       458:{3,5,7}:{(420,1),(421,1),(464,1),(479,1),(485,1)}
       459:{1,5,6}:{(422,1),(423,1),(465,1),(480,1),(489,1)}
       460:{2,5,7}:{(423,1),(424,1),(466,1),(481,1),(489,1)}
       461:{2,4}:{(425,1),(426,1),(490,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(490,1),(491,1)}
       463:{2,3,6}:{(427,1),(428,1),(431,1),(491,1),(492,1),(538,1)}
       464:{3,7}:{(428,1),(429,1)}
       465:{1,4,6}:{(430,1),(431,1),(459,1),(491,1),(493,1)}
       466:{2,4,7}:{(431,1),(432,1),(460,1),(492,1),(493,1),(529,1)}
       467:{1,3,6}:{(433,1),(434,1),(437,1),(494,1),(495,1)}
       468:{2,4,6}:{(434,1),(435,1),(438,1),(495,1),(496,1)}
       469:{3,5}:{(435,1),(436,1),(496,1)}
       470:{4,5,6}:{(436,1),(440,1),(497,1),(498,1)}
       471:{2,3,5,7}:{(437,1),(442,1),(450,1),(494,1),(499,1),(503,1),(531,1),(534,1)}
       472:{1,4,7}:{(437,1),(438,1),(451,1),(495,1),(499,1)}
       473:{2,4,5,7}:{(438,1),(439,1),(444,1),(452,1),(496,1),(500,1),(501,1),(510,1),(533,1)}
       474:{3,4,6}:{(439,1),(440,1),(445,1),(497,1),(501,1)}
       475:{4,6,7}:{(440,1),(441,1),(454,1),(498,1)}
       476:{2,4,7}:{(442,1),(443,1),(455,1),(503,1),(529,1)}
       477:{1,3,5,7}:{(443,1),(444,1),(447,1),(456,1),(500,1),(503,1),(504,1),(534,1)}
       478:{2,3,6}:{(444,1),(445,1),(448,1),(501,1),(504,1)}
       479:{3,6,7}:{(445,1),(446,1),(458,1)}
       480:{1,6}:{(447,1),(448,1)}
       481:{2,6,7}:{(448,1),(449,1),(460,1),(506,1)}
       482:{2,4}:{(450,1),(451,1),(507,1)}
       483:{1,4,5}:{(451,1),(452,1),(456,1),(508,1),(509,1),(546,1)}
       484:{2,4,6}:{(452,1),(453,1),(457,1),(509,1),(510,1)}
       485:{3,4,7}:{(453,1),(454,1),(458,1),(510,1)}
       486:{2,5}:{(455,1),(456,1)}
       487:{1,3,5,6}:{(456,1),(457,1),(459,1),(491,1),(504,1),(509,1),(511,1),(512,1),(532,1),(538,1),(547,1)}
       488:{2,3,5,7}:{(457,1),(458,1),(460,1),(492,1),(505,1),(510,1),(512,1),(533,1)}
       489:{1,5,7}:{(459,1),(460,1),(493,1),(506,1)}
       490:{2,5}:{(461,1),(462,1),(513,1)}
       491:{1,3,6}:{(462,1),(463,1),(465,1),(513,1),(514,1)}
       492:{2,3,7}:{(463,1),(464,1),(466,1),(514,1),(545,1)}
       493:{1,4,7}:{(465,1),(466,1),(489,1),(514,1)}
       494:{2,3,6}:{(467,1),(471,1),(515,1),(523,1),(543,1)}
       495:{1,4,6}:{(467,1),(468,1),(472,1),(515,1),(516,1)}
       496:{2,5}:{(468,1),(469,1),(516,1)}
       497:{3,5,6}:{(469,1),(470,1),(474,1),(517,1),(518,1)}
       498:{4,5,7}:{(470,1),(475,1),(518,1)}
       499:{2,4,7}:{(471,1),(472,1),(482,1),(515,1),(519,1)}
       500:{1,4,5,7}:{(472,1),(473,1),(477,1),(483,1),(516,1),(520,1),(521,1),(527,1),(542,1)}
       501:{2,4,6}:{(473,1),(474,1),(478,1),(517,1),(521,1)}
       502:{3,4,6,7}:{(474,1),(475,1),(479,1),(485,1),(518,1),(522,1)}
       503:{2,5,7}:{(476,1),(477,1),(486,1),(523,1)}
       504:{1,3,6}:{(477,1),(478,1),(480,1),(521,1),(523,1),(543,1)}
       505:{2,3,6,7}:{(478,1),(479,1),(481,1),(488,1),(522,1),(524,1)}
       506:{1,6,7}:{(480,1),(481,1),(489,1)}
       507:{3,4}:{(482,1),(525,1)}
       508:{2,4,5}:{(482,1),(483,1),(486,1),(525,1),(526,1)}
       509:{1,4,6}:{(483,1),(484,1),(487,1),(526,1),(527,1),(550,1)}
       510:{2,4,7}:{(484,1),(485,1),(488,1),(527,1)}
       511:{2,5,6}:{(486,1),(487,1),(513,1),(523,1),(526,1),(528,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(489,1),(514,1),(524,1),(527,1),(528,1),(542,1),(545,1),(551,1)}
       513:{2,6}:{(490,1),(491,1),(529,1)}
       514:{1,3,7}:{(491,1),(492,1),(493,1),(529,1)}
       515:{2,4,6}:{(494,1),(495,1),(499,1),(530,1),(531,1)}
       516:{1,5}:{(495,1),(496,1),(531,1)}
       517:{2,5,6}:{(496,1),(497,1),(501,1),(532,1),(533,1)}
       518:{3,5,7}:{(497,1),(498,1),(502,1),(533,1)}
       519:{3,4,7}:{(499,1),(507,1),(530,1),(534,1),(552,1)}
       520:{2,4,5,7}:{(499,1),(500,1),(503,1),(508,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       521:{1,4,6}:{(500,1),(501,1),(504,1),(532,1),(535,1)}
       522:{2,4,6,7}:{(501,1),(502,1),(505,1),(510,1),(533,1),(536,1)}
       523:{2,6}:{(503,1),(504,1)}
       524:{1,3,6,7}:{(504,1),(505,1),(506,1),(512,1),(536,1),(537,1),(549,1)}
       525:{3,5}:{(507,1),(508,1),(538,1)}
       526:{2,4,6}:{(508,1),(509,1),(511,1),(538,1),(539,1)}
       527:{1,4,7}:{(509,1),(510,1),(512,1),(539,1),(552,1)}
       528:{2,5,7}:{(511,1),(512,1),(529,1),(537,1),(539,1)}
       529:{2,7}:{(513,1),(514,1)}
       530:{3,4,6}:{(515,1),(519,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(515,1),(516,1),(540,1)}
       532:{1,5,6}:{(516,1),(517,1),(521,1),(541,1),(542,1)}
       533:{2,5,7}:{(517,1),(518,1),(522,1),(542,1)}
       534:{3,5,7}:{(519,1),(520,1),(525,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(520,1),(521,1),(523,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(521,1),(522,1),(524,1),(527,1),(542,1),(544,1)}
       537:{2,6,7}:{(523,1),(524,1),(528,1)}
       538:{3,6}:{(525,1),(526,1),(545,1)}
       539:{2,4,7}:{(526,1),(527,1),(528,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 638 :   0:{4,5,7}:{(3,1),(4,1),(23,1),(27,1),(50,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(50,1),(77,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(77,1),(101,1)}
         3:{3,5,7}:{(0,1),(1,1),(9,1),(10,1),(15,1)}
         4:{4,6}:{(0,1),(10,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(9,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(10,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(113,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{2,5,7}:{(3,1),(5,1),(19,1),(20,1),(26,1)}
        10:{3,6}:{(3,1),(4,1),(20,1)}
        11:{4,6,7}:{(4,1),(21,1),(23,1),(50,1),(145,1)}
        12:{5,6}:{(4,1),(23,1)}
        13:{1,4,7}:{(5,1),(7,1),(19,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(20,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{1,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1)}
        20:{2,6}:{(9,1),(10,1),(32,1)}
        21:{3,6,7}:{(10,1),(11,1),(33,1),(35,1),(143,1)}
        22:{3,5,6}:{(10,1),(12,1),(15,1),(34,1),(35,1),(36,1),(64,1),(138,1),(143,1),(146,1)}
        23:{5,7}:{(11,1),(12,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(31,1),(37,1),(38,1),(57,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(32,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,5,7}:{(19,1),(24,1),(44,1),(45,1),(52,1)}
        32:{1,6}:{(19,1),(20,1),(45,1)}
        33:{2,6,7}:{(20,1),(21,1),(46,1),(48,1),(140,1)}
        34:{2,5,6}:{(20,1),(22,1),(26,1),(47,1),(48,1),(49,1),(133,1),(140,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(48,1),(50,1),(77,1)}
        36:{4,6}:{(22,1),(27,1),(50,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(45,1),(51,1),(52,1),(55,1),(70,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(49,1),(53,1),(54,1),(80,1),(123,1),(133,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{3,5,7}:{(31,1),(37,1),(57,1),(58,1),(65,1),(84,1)}
        45:{2,6}:{(31,1),(32,1),(58,1)}
        46:{1,6,7}:{(32,1),(33,1),(59,1),(61,1),(136,1)}
        47:{1,5,6}:{(32,1),(34,1),(39,1),(60,1),(61,1),(62,1),(126,1),(136,1)}
        48:{2,5,7}:{(33,1),(34,1),(35,1),(61,1),(63,1)}
        49:{2,4,6}:{(34,1),(36,1),(40,1),(62,1),(63,1),(64,1),(90,1)}
        50:{4,7}:{(35,1),(36,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(84,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(62,1),(66,1),(67,1),(93,1),(114,1),(126,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{4,7}:{(44,1),(70,1),(78,1)}
        58:{3,6}:{(44,1),(45,1),(70,1)}
        59:{2,6,7}:{(45,1),(46,1),(71,1),(73,1),(131,1)}
        60:{2,5,6}:{(45,1),(47,1),(52,1),(72,1),(73,1),(74,1),(118,1),(131,1)}
        61:{1,5,7}:{(46,1),(47,1),(48,1),(73,1),(75,1)}
        62:{1,4,6}:{(47,1),(49,1),(53,1),(74,1),(75,1),(76,1),(102,1)}
        63:{2,4,7}:{(48,1),(49,1),(50,1),(75,1),(77,1),(101,1)}
        64:{3,6}:{(49,1),(54,1),(77,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(74,1),(78,1),(79,1),(80,1),(96,1),(103,1),(118,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(76,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{4,6}:{(57,1),(58,1),(84,1)}
        71:{3,6,7}:{(58,1),(59,1),(83,1),(85,1),(124,1)}
        72:{3,5,6}:{(58,1),(60,1),(65,1),(84,1),(85,1),(86,1),(88,1),(106,1),(108,1),(124,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(85,1),(87,1)}
        74:{2,4,6}:{(60,1),(62,1),(66,1),(86,1),(87,1),(88,1),(90,1)}
        75:{1,4,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(113,1)}
        76:{1,3,6}:{(62,1),(64,1),(67,1),(88,1),(89,1),(90,1)}
        77:{3,7}:{(63,1),(64,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(88,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(71,1),(95,1),(97,1),(116,1)}
        84:{5}:{(70,1)}
        85:{3,5,7}:{(71,1),(72,1),(73,1),(95,1),(97,1),(99,1)}
        86:{4,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,4,7}:{(73,1),(74,1),(75,1),(97,1),(99,1),(101,1)}
        88:{3,6}:{(74,1),(79,1),(99,1)}
        89:{1,3,7}:{(75,1),(76,1),(77,1),(99,1),(101,1)}
        90:{2,6}:{(76,1),(80,1),(101,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(100,1),(103,1),(104,1),(118,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(84,1),(106,1)}
        96:{4,5}:{(84,1),(86,1),(108,1)}
        97:{4,7}:{(85,1),(86,1)}
        98:{3,4,6}:{(86,1),(88,1),(91,1),(108,1),(109,1),(110,1),(124,1)}
        99:{3,7}:{(87,1),(88,1)}
       100:{2,3,6}:{(88,1),(90,1),(92,1),(110,1),(111,1),(112,1)}
       101:{2,7}:{(89,1),(90,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(113,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(112,1),(114,1),(115,1),(126,1),(130,1),(138,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(97,1),(116,1),(117,1)}
       108:{3,5}:{(96,1),(98,1),(118,1)}
       109:{3,4,7}:{(97,1),(98,1),(99,1),(117,1),(119,1)}
       110:{2,4,6}:{(98,1),(100,1),(103,1),(118,1),(119,1),(120,1),(131,1)}
       111:{2,3,7}:{(99,1),(100,1),(101,1),(119,1),(121,1)}
       112:{1,3,6}:{(100,1),(102,1),(104,1),(120,1),(121,1),(122,1),(135,1)}
       113:{1,7}:{(101,1),(102,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(109,1),(124,1),(125,1)}
       118:{2,5}:{(108,1),(110,1),(126,1)}
       119:{2,4,7}:{(109,1),(110,1),(111,1),(125,1),(127,1)}
       120:{1,4,6}:{(110,1),(112,1),(114,1),(126,1),(127,1),(128,1),(136,1)}
       121:{1,3,7}:{(111,1),(112,1),(113,1),(127,1),(129,1),(139,1)}
       122:{2,6}:{(112,1),(115,1),(129,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(119,1),(131,1),(132,1)}
       126:{1,5}:{(118,1),(120,1),(133,1)}
       127:{1,4,7}:{(119,1),(120,1),(121,1),(132,1),(134,1)}
       128:{2,4,6}:{(120,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       129:{2,7}:{(121,1),(122,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(127,1),(136,1),(137,1)}
       133:{2,5}:{(126,1),(128,1),(138,1),(146,1)}
       134:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(144,1)}
       135:{3,6}:{(128,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,5}:{(133,1),(135,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(138,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 639 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 640 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(19,1),(27,1),(31,1),(50,1)}
         1:{2,3,6}:{(2,1),(5,1),(6,1),(7,1),(50,1),(83,1)}
         2:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(17,1),(43,1)}
         3:{3,5}:{(0,1),(10,1),(12,1)}
         4:{3,4,7}:{(0,1),(11,1),(13,1),(35,1),(69,1)}
         5:{1,3,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(97,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(17,1),(42,1),(75,1),(76,1)}
         7:{2,3,7}:{(1,1),(11,1),(16,1),(69,1),(98,1)}
         8:{3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(50,1),(60,1),(136,1),(144,1),(146,1)}
         9:{1,4,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(30,1),(59,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(7,1),(23,1),(25,1)}
        12:{4,5}:{(3,1),(19,1),(146,1)}
        13:{3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
        14:{2,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(6,1),(22,1),(28,1),(30,1),(54,1),(61,1),(89,1),(90,1)}
        16:{1,3,7}:{(5,1),(7,1),(23,1),(29,1),(55,1),(110,1)}
        17:{2,4}:{(6,1),(30,1),(31,1)}
        18:{2,5,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(43,1),(131,1),(142,1)}
        19:{4,6}:{(8,1),(12,1),(35,1),(140,1)}
        20:{3,5,7}:{(8,1),(34,1),(35,1),(36,1),(69,1),(70,1)}
        21:{2,4,6}:{(9,1),(14,1),(37,1),(38,1),(39,1),(45,1),(71,1),(74,1),(100,1)}
        22:{1,5}:{(9,1),(10,1),(38,1)}
        23:{1,4,7}:{(9,1),(11,1),(16,1),(39,1),(41,1)}
        24:{2,4,5}:{(10,1),(12,1),(17,1),(33,1),(40,1),(42,1),(75,1),(122,1),(131,1),(140,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(41,1),(43,1)}
        26:{4,5,7}:{(12,1),(13,1),(35,1),(44,1),(70,1)}
        27:{3,6}:{(13,1),(43,1),(44,1)}
        28:{2,5}:{(14,1),(15,1),(45,1),(102,1)}
        29:{2,7}:{(14,1),(16,1)}
        30:{1,4}:{(15,1),(17,1),(45,1),(71,1)}
        31:{3,4}:{(17,1),(42,1),(140,1)}
        32:{1,5,6}:{(18,1),(22,1),(47,1),(48,1),(49,1),(59,1),(123,1),(138,1)}
        33:{2,4,6}:{(18,1),(19,1),(24,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,5,7}:{(18,1),(20,1),(49,1),(51,1),(52,1)}
        35:{4,7}:{(19,1),(20,1)}
        36:{3,6,7}:{(20,1),(27,1),(52,1),(53,1),(144,1)}
        37:{3,6}:{(21,1),(54,1),(55,1),(61,1)}
        38:{2,5}:{(21,1),(22,1),(54,1),(112,1)}
        39:{2,4,7}:{(21,1),(23,1),(29,1),(55,1),(57,1),(86,1)}
        40:{1,4,5}:{(22,1),(24,1),(30,1),(48,1),(56,1),(58,1),(89,1),(111,1),(123,1)}
        41:{1,5,7}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        42:{3,5}:{(24,1),(31,1),(50,1),(130,1)}
        43:{2,6}:{(25,1),(27,1),(59,1)}
        44:{4,6}:{(26,1),(27,1),(60,1)}
        45:{2,4}:{(28,1),(30,1),(61,1)}
        46:{1,3,4}:{(30,1),(31,1),(58,1),(61,1),(62,1),(85,1),(90,1),(111,1),(130,1)}
        47:{2,5,6}:{(32,1),(38,1),(63,1),(64,1),(65,1),(74,1),(114,1),(133,1)}
        48:{1,4,6}:{(32,1),(33,1),(40,1),(64,1),(66,1),(67,1),(97,1)}
        49:{1,5,7}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{3,6}:{(33,1),(42,1),(69,1)}
        51:{2,4,7}:{(33,1),(34,1),(35,1),(67,1),(69,1),(98,1)}
        52:{2,6,7}:{(34,1),(36,1),(43,1),(68,1),(142,1)}
        53:{4,6,7}:{(35,1),(36,1),(44,1),(70,1),(145,1)}
        54:{3,5}:{(37,1),(38,1),(71,1)}
        55:{3,7}:{(37,1),(39,1)}
        56:{2,4,5}:{(38,1),(40,1),(45,1),(64,1),(71,1),(73,1),(75,1),(91,1),(99,1),(114,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1),(74,1)}
        58:{1,3,5}:{(40,1),(42,1),(46,1),(66,1),(73,1),(75,1)}
        59:{1,6}:{(41,1),(43,1),(74,1)}
        60:{5,6}:{(44,1),(70,1)}
        61:{3}:{(45,1)}
        62:{2,4}:{(46,1),(75,1),(76,1),(77,1),(102,1)}
        63:{3,5,6}:{(47,1),(54,1),(78,1),(79,1),(80,1),(87,1),(103,1),(112,1),(125,1),(126,1)}
        64:{2,4,6}:{(47,1),(48,1),(56,1),(78,1),(80,1),(81,1),(83,1)}
        65:{2,5,7}:{(47,1),(49,1),(79,1),(81,1),(82,1)}
        66:{1,3,6}:{(48,1),(50,1),(58,1),(80,1),(83,1),(84,1)}
        67:{1,4,7}:{(48,1),(49,1),(51,1),(81,1),(84,1),(110,1)}
        68:{1,6,7}:{(49,1),(52,1),(59,1),(82,1),(138,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{5,7}:{(53,1),(60,1),(146,1)}
        71:{4}:{(54,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(86,1),(87,1),(112,1)}
        73:{3,5}:{(56,1),(61,1),(80,1),(85,1)}
        74:{2,6}:{(57,1),(59,1),(87,1)}
        75:{2,5}:{(58,1),(62,1),(83,1),(89,1)}
        76:{2,3}:{(61,1),(62,1),(90,1),(130,1)}
        77:{1,4}:{(62,1),(89,1),(90,1)}
        78:{4,6}:{(63,1),(71,1),(91,1),(93,1)}
        79:{3,5,7}:{(63,1),(65,1),(93,1),(94,1),(96,1),(119,1)}
        80:{3,6}:{(64,1),(73,1),(96,1)}
        81:{2,4,7}:{(64,1),(65,1),(67,1),(93,1),(96,1),(98,1)}
        82:{2,6,7}:{(65,1),(68,1),(74,1),(94,1),(133,1)}
        83:{2,6}:{(66,1),(75,1),(97,1),(98,1)}
        84:{1,3,7}:{(66,1),(67,1),(69,1),(96,1),(98,1)}
        85:{3,4}:{(71,1),(73,1),(99,1)}
        86:{4,7}:{(71,1),(72,1),(100,1)}
        87:{3,6}:{(72,1),(74,1),(100,1)}
        88:{2,3,5}:{(73,1),(75,1),(76,1),(95,1),(99,1),(101,1),(114,1)}
        89:{1,5}:{(75,1),(77,1),(97,1)}
        90:{1,3}:{(76,1),(77,1),(102,1)}
        91:{4,5}:{(78,1),(103,1),(112,1)}
        92:{3,4,6}:{(78,1),(80,1),(85,1),(103,1),(105,1),(106,1),(125,1)}
        93:{4,7}:{(78,1),(79,1)}
        94:{3,6,7}:{(79,1),(82,1),(87,1),(107,1),(125,1)}
        95:{2,3,6}:{(80,1),(83,1),(88,1),(105,1),(108,1),(109,1)}
        96:{3,7}:{(80,1),(81,1)}
        97:{1,6}:{(83,1),(89,1),(110,1)}
        98:{2,7}:{(83,1),(84,1),(110,1)}
        99:{2,4}:{(85,1),(88,1),(111,1)}
       100:{4,6}:{(86,1),(87,1),(112,1)}
       101:{1,3,5}:{(88,1),(89,1),(90,1),(108,1),(111,1),(113,1),(123,1),(130,1),(136,1)}
       102:{2}:{(90,1)}
       103:{3,5}:{(91,1),(92,1),(114,1)}
       104:{4,5,7}:{(91,1),(93,1),(115,1),(116,1),(119,1)}
       105:{2,4,6}:{(92,1),(95,1),(99,1),(114,1),(117,1),(118,1),(133,1)}
       106:{3,4,7}:{(92,1),(93,1),(96,1),(115,1),(118,1)}
       107:{4,6,7}:{(93,1),(94,1),(100,1),(116,1),(119,1)}
       108:{1,3,6}:{(95,1),(97,1),(101,1),(117,1),(120,1),(121,1),(134,1)}
       109:{2,3,7}:{(95,1),(96,1),(98,1),(118,1),(121,1)}
       110:{1,7}:{(97,1),(98,1)}
       111:{1,4}:{(99,1),(101,1),(122,1),(140,1)}
       112:{5}:{(100,1)}
       113:{2,5}:{(101,1),(102,1),(120,1),(122,1)}
       114:{2,5}:{(103,1),(105,1),(123,1)}
       115:{3,5,7}:{(103,1),(104,1),(106,1),(124,1),(125,1)}
       116:{4,6}:{(104,1),(125,1),(126,1)}
       117:{1,4,6}:{(105,1),(108,1),(111,1),(123,1),(127,1),(128,1),(138,1)}
       118:{2,4,7}:{(105,1),(106,1),(109,1),(124,1),(128,1)}
       119:{5,7}:{(107,1),(112,1),(126,1)}
       120:{2,6}:{(108,1),(113,1),(129,1)}
       121:{1,3,7}:{(108,1),(109,1),(110,1),(128,1),(129,1),(139,1)}
       122:{2,4}:{(111,1),(113,1),(130,1)}
       123:{1,5}:{(114,1),(117,1),(131,1)}
       124:{2,5,7}:{(114,1),(115,1),(118,1),(132,1),(133,1)}
       125:{3,6}:{(115,1),(116,1),(133,1)}
       126:{5,6}:{(116,1),(119,1)}
       127:{2,4,6}:{(117,1),(120,1),(122,1),(131,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       128:{1,4,7}:{(117,1),(118,1),(121,1),(132,1),(135,1)}
       129:{2,7}:{(120,1),(121,1)}
       130:{3}:{(122,1)}
       131:{2,5}:{(123,1),(127,1),(136,1),(146,1)}
       132:{1,5,7}:{(123,1),(124,1),(128,1),(137,1),(138,1)}
       133:{2,6}:{(124,1),(125,1),(138,1)}
       134:{3,6}:{(127,1),(130,1),(136,1),(139,1)}
       135:{2,4,7}:{(127,1),(128,1),(129,1),(137,1),(139,1),(143,1)}
       136:{3,5}:{(131,1),(134,1),(140,1)}
       137:{2,5,7}:{(131,1),(132,1),(135,1),(141,1),(142,1)}
       138:{1,6}:{(132,1),(133,1),(142,1)}
       139:{3,7}:{(134,1),(135,1)}
       140:{4}:{(136,1)}
       141:{3,5,7}:{(136,1),(137,1),(139,1),(143,1),(144,1),(146,1)}
       142:{2,6}:{(137,1),(138,1),(144,1)}
       143:{4,7}:{(140,1),(141,1),(145,1)}
       144:{3,6}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 641 :  0:{1,2}:{(4,1)}
        1:{2,3}:{(4,1),(5,1)}
        2:{3,4}:{(5,1),(6,1)}
        3:{4,5}:{(6,1),(7,1)}
        4:{1,3}:{(0,1),(1,1),(8,1),(9,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(10,1)}
        6:{3,5}:{(2,1),(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(11,1),(12,1),(13,1)}
        8:{2,3}:{(4,1),(14,1)}
        9:{1,4}:{(4,1),(5,1),(14,1),(15,1)}
       10:{2,5}:{(5,1),(6,1),(15,1),(16,1)}
       11:{3,6}:{(6,1),(7,1),(16,1),(17,1)}
       12:{5,6}:{(7,1),(18,1)}
       13:{4,7}:{(7,1),(17,1),(18,1)}
       14:{2,4}:{(8,1),(9,1),(19,1),(20,1)}
       15:{1,5}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{3,7}:{(11,1),(13,1),(22,1)}
       18:{5,7}:{(12,1),(13,1),(23,1)}
       19:{3,4}:{(14,1),(24,1)}
       20:{2,5}:{(14,1),(15,1),(24,1),(25,1)}
       21:{1,6}:{(15,1),(16,1),(25,1),(26,1)}
       22:{2,7}:{(16,1),(17,1),(26,1)}
       23:{6,7}:{(18,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1)}
       25:{2,6}:{(20,1),(21,1),(28,1),(29,1)}
       26:{1,7}:{(21,1),(22,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 642 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 643 :   0:{2,3,5,7}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(61,1),(97,1)}
         1:{2,4,5,7}:{(4,1),(6,1),(7,1),(8,1),(11,1),(31,1),(34,1),(42,1),(67,1),(78,1),(100,1),(101,1),(124,1),(135,1)}
         2:{2,4,6,7}:{(8,1),(9,1),(10,1),(11,1),(40,1),(42,1),(78,1)}
         3:{1,3,5,7}:{(0,1),(12,1),(13,1),(14,1),(43,1),(47,1),(53,1),(79,1),(81,1),(110,1)}
         4:{2,4,7}:{(0,1),(13,1),(15,1),(16,1),(111,1)}
         5:{2,3,6}:{(0,1),(14,1),(16,1),(20,1),(54,1)}
         6:{1,4,5,7}:{(1,1),(13,1),(17,1),(18,1),(19,1),(24,1),(47,1),(53,1),(60,1),(84,1),(85,1),(93,1),(112,1),(116,1)}
         7:{3,5,7}:{(1,1),(15,1),(20,1),(48,1),(94,1),(113,1),(114,1),(130,1)}
         8:{2,4,6}:{(1,1),(19,1),(20,1),(21,1),(54,1),(56,1)}
         9:{1,4,6,7}:{(2,1),(19,1),(22,1),(23,1),(24,1),(58,1),(60,1),(93,1)}
        10:{3,6,7}:{(2,1),(20,1),(25,1),(94,1)}
        11:{2,5,7}:{(2,1),(21,1),(24,1),(25,1)}
        12:{2,5,7}:{(3,1),(26,1),(27,1),(63,1),(95,1),(119,1)}
        13:{1,4,7}:{(3,1),(4,1),(26,1),(29,1),(98,1),(120,1)}
        14:{1,3,6}:{(3,1),(5,1),(27,1),(29,1),(62,1),(73,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(42,1),(121,1),(135,1)}
        16:{2,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1)}
        17:{2,4,5,7}:{(6,1),(26,1),(32,1),(33,1),(34,1),(39,1),(63,1),(68,1),(76,1),(78,1),(98,1),(100,1),(103,1),(104,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(28,1),(32,1),(34,1),(35,1),(66,1),(108,1),(122,1)}
        19:{1,4,6}:{(6,1),(8,1),(33,1),(35,1),(36,1),(73,1)}
        20:{3,6}:{(7,1),(8,1)}
        21:{2,5,6}:{(8,1),(11,1),(31,1),(36,1),(37,1),(124,1)}
        22:{2,4,6,7}:{(9,1),(33,1),(38,1),(39,1),(40,1),(76,1),(78,1)}
        23:{1,3,6,7}:{(9,1),(10,1),(35,1),(38,1),(40,1),(41,1),(108,1)}
        24:{1,5,7}:{(9,1),(11,1),(36,1),(39,1)}
        25:{3,5,7}:{(10,1),(11,1),(37,1),(42,1)}
        26:{2,4,7}:{(12,1),(13,1),(43,1),(44,1),(127,1)}
        27:{2,6}:{(12,1),(14,1)}
        28:{1,3,4,7}:{(13,1),(15,1),(18,1),(43,1),(45,1),(46,1),(49,1),(60,1),(79,1),(85,1),(94,1),(114,1),(128,1)}
        29:{1,4,6}:{(13,1),(14,1),(16,1),(44,1),(47,1)}
        30:{3,4,6}:{(15,1),(16,1),(20,1),(48,1),(56,1)}
        31:{2,5}:{(16,1),(47,1),(48,1)}
        32:{3,5,7}:{(17,1),(43,1),(49,1),(51,1),(81,1),(87,1),(94,1),(113,1)}
        33:{2,4,6}:{(17,1),(19,1),(51,1),(52,1),(54,1),(90,1)}
        34:{2,5,7}:{(18,1),(45,1),(53,1),(54,1),(83,1),(118,1),(129,1)}
        35:{1,3,6}:{(18,1),(19,1),(20,1),(51,1),(54,1)}
        36:{1,5,6}:{(19,1),(21,1),(24,1),(47,1),(52,1),(116,1)}
        37:{3,5,6}:{(20,1),(21,1),(25,1),(48,1),(56,1),(130,1)}
        38:{3,6,7}:{(22,1),(51,1),(57,1),(94,1)}
        39:{2,5,7}:{(22,1),(24,1),(52,1),(57,1)}
        40:{2,6,7}:{(23,1),(54,1),(58,1),(59,1),(118,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(25,1),(55,1),(57,1),(59,1),(60,1),(94,1)}
        42:{4,7}:{(25,1),(56,1)}
        43:{3,7}:{(26,1),(62,1),(132,1)}
        44:{2,4,6}:{(26,1),(27,1),(29,1),(62,1),(63,1),(98,1)}
        45:{2,4,7}:{(28,1),(34,1),(61,1),(64,1),(65,1),(95,1),(133,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(30,1),(35,1),(62,1),(65,1),(66,1),(69,1),(75,1),(96,1),(98,1),(102,1),(107,1),(120,1),(121,1),(123,1),(132,1),(135,1)}
        47:{1,5}:{(29,1),(31,1),(63,1)}
        48:{3,5}:{(30,1),(31,1),(67,1)}
        49:{3,4,7}:{(32,1),(68,1),(69,1),(76,1),(98,1),(121,1)}
        50:{2,3,5,7}:{(32,1),(34,1),(61,1),(68,1),(70,1),(71,1),(97,1),(103,1)}
        51:{3,6}:{(32,1),(33,1)}
        52:{2,5,6}:{(33,1),(36,1),(39,1),(63,1),(72,1),(103,1)}
        53:{1,5,7}:{(34,1),(64,1),(73,1),(99,1),(126,1),(134,1)}
        54:{2,6}:{(34,1),(35,1),(73,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(37,1),(41,1),(66,1),(72,1),(74,1),(75,1),(107,1)}
        56:{4,6}:{(37,1),(42,1),(67,1),(135,1)}
        57:{3,5,7}:{(38,1),(39,1),(72,1),(76,1)}
        58:{1,6,7}:{(40,1),(73,1),(77,1),(126,1)}
        59:{2,5,7}:{(40,1),(41,1),(74,1),(77,1),(78,1)}
        60:{1,4,7}:{(41,1),(42,1),(75,1),(76,1),(78,1),(126,1)}
        61:{2,3,7}:{(43,1),(45,1),(79,1),(80,1),(94,1),(114,1),(118,1),(136,1)}
        62:{3,6}:{(43,1),(44,1),(81,1)}
        63:{2,5}:{(44,1),(47,1),(81,1)}
        64:{1,4,7}:{(45,1),(53,1),(79,1),(82,1),(137,1)}
        65:{2,4,6}:{(45,1),(46,1),(54,1),(80,1),(82,1),(83,1),(109,1),(111,1),(127,1)}
        66:{1,3,5}:{(46,1),(47,1),(48,1),(81,1),(83,1),(84,1),(87,1),(113,1),(116,1),(130,1)}
        67:{4,5}:{(48,1),(56,1)}
        68:{2,4,7}:{(49,1),(50,1),(85,1),(86,1),(111,1)}
        69:{3,4,6}:{(49,1),(51,1),(86,1),(87,1),(90,1)}
        70:{1,3,5,7}:{(50,1),(53,1),(79,1),(85,1),(88,1),(89,1),(110,1),(114,1),(116,1),(130,1)}
        71:{2,3,6}:{(50,1),(51,1),(54,1),(86,1),(89,1)}
        72:{3,5,6}:{(51,1),(52,1),(57,1),(81,1),(87,1),(90,1)}
        73:{1,6}:{(53,1),(54,1)}
        74:{2,5,6}:{(54,1),(55,1),(59,1),(83,1),(91,1),(92,1)}
        75:{1,4,6}:{(55,1),(56,1),(60,1),(84,1),(90,1),(92,1),(131,1)}
        76:{4,7}:{(57,1),(90,1)}
        77:{1,5,7}:{(58,1),(59,1),(91,1),(93,1)}
        78:{2,4,7}:{(59,1),(60,1),(92,1),(93,1),(94,1),(118,1)}
        79:{1,3,7}:{(61,1),(64,1),(95,1),(96,1),(126,1),(138,1)}
        80:{2,3,6}:{(61,1),(62,1),(65,1),(96,1),(97,1),(107,1),(123,1),(125,1),(132,1)}
        81:{3,5}:{(62,1),(63,1),(98,1)}
        82:{1,4,6}:{(64,1),(65,1),(73,1),(96,1),(99,1),(120,1)}
        83:{2,5}:{(65,1),(66,1),(99,1)}
        84:{1,4,5}:{(66,1),(67,1),(75,1),(98,1),(100,1),(104,1),(120,1),(134,1),(135,1)}
        85:{1,4,7}:{(68,1),(70,1),(101,1),(102,1),(120,1),(135,1)}
        86:{2,4,6}:{(68,1),(69,1),(71,1),(102,1),(103,1)}
        87:{3,5}:{(69,1),(103,1),(104,1)}
        88:{2,5,7}:{(70,1),(95,1),(101,1),(105,1),(119,1),(124,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(102,1),(105,1),(123,1)}
        90:{4,6}:{(72,1),(76,1),(98,1),(104,1)}
        91:{1,5,6}:{(73,1),(74,1),(77,1),(99,1),(106,1)}
        92:{2,4,6}:{(74,1),(75,1),(78,1),(100,1),(106,1),(107,1),(125,1)}
        93:{1,4,7}:{(77,1),(78,1),(106,1),(108,1)}
        94:{3,7}:{(78,1),(107,1)}
        95:{2,7}:{(79,1),(109,1),(139,1)}
        96:{1,3,6}:{(79,1),(80,1),(82,1),(109,1),(110,1),(131,1)}
        97:{2,3,5}:{(80,1),(81,1),(83,1),(110,1),(111,1),(113,1),(129,1),(130,1),(136,1)}
        98:{4}:{(81,1)}
        99:{1,5}:{(82,1),(83,1)}
       100:{2,4,5}:{(83,1),(84,1),(92,1),(111,1),(112,1),(113,1),(127,1),(129,1)}
       101:{2,4,7}:{(85,1),(88,1),(114,1),(115,1),(127,1)}
       102:{1,4,6}:{(85,1),(86,1),(89,1),(115,1),(116,1)}
       103:{2,5}:{(86,1),(87,1),(116,1)}
       104:{4,5}:{(87,1),(90,1)}
       105:{2,6}:{(88,1),(89,1)}
       106:{1,4,6}:{(91,1),(92,1),(93,1),(112,1),(117,1)}
       107:{3,6}:{(92,1),(94,1),(113,1)}
       108:{1,3,7}:{(93,1),(94,1),(117,1),(118,1)}
       109:{2,6}:{(95,1),(96,1),(119,1)}
       110:{1,3,5}:{(96,1),(97,1),(99,1),(119,1),(120,1),(132,1),(134,1),(138,1)}
       111:{2,4}:{(97,1),(98,1),(120,1),(121,1),(135,1)}
       112:{1,4,5}:{(99,1),(100,1),(106,1),(120,1),(122,1)}
       113:{3,5}:{(100,1),(107,1),(121,1),(132,1)}
       114:{3,7}:{(101,1),(123,1),(132,1)}
       115:{2,4,6}:{(101,1),(102,1),(105,1),(123,1),(124,1),(135,1)}
       116:{1,5}:{(102,1),(103,1),(124,1)}
       117:{1,3,6}:{(106,1),(107,1),(108,1),(122,1),(125,1)}
       118:{2,7}:{(108,1),(125,1),(126,1)}
       119:{2,5}:{(109,1),(110,1),(127,1),(139,1)}
       120:{1,4}:{(110,1),(111,1),(127,1)}
       121:{3,4}:{(111,1),(113,1)}
       122:{1,3,5}:{(112,1),(113,1),(117,1),(128,1),(129,1)}
       123:{3,6}:{(114,1),(115,1),(130,1)}
       124:{2,5}:{(115,1),(116,1),(130,1)}
       125:{2,6}:{(117,1),(118,1),(129,1),(131,1)}
       126:{1,7}:{(118,1),(131,1)}
       127:{2,4}:{(119,1),(120,1),(132,1)}
       128:{1,3,4}:{(120,1),(121,1),(122,1),(132,1),(133,1),(138,1)}
       129:{2,5}:{(122,1),(125,1),(133,1),(134,1)}
       130:{3,5}:{(123,1),(124,1),(135,1)}
       131:{1,6}:{(125,1),(126,1),(134,1)}
       132:{3}:{(127,1)}
       133:{2,4}:{(128,1),(129,1),(136,1),(137,1),(139,1)}
       134:{1,5}:{(129,1),(131,1),(137,1)}
       135:{4}:{(130,1)}
       136:{2,3}:{(132,1),(133,1),(138,1)}
       137:{1,4}:{(133,1),(134,1),(138,1)}
       138:{1,3}:{(136,1),(137,1),(139,1)}
       139:{2}:{(138,1)}

 644 :   0:{3,4,5,7}:{(3,1),(4,1),(6,1),(70,1),(115,1),(203,1),(308,1),(326,1),(329,1)}
         1:{3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(33,1),(70,1)}
         2:{3,5,6,7}:{(6,1),(7,1),(8,1),(33,1),(325,1),(344,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(45,1),(82,1),(156,1),(258,1)}
         4:{3,4,6}:{(0,1),(11,1),(12,1),(376,1),(379,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(45,1)}
         6:{3,5,7}:{(1,1),(12,1),(15,1),(16,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(275,1),(292,1)}
         8:{4,6,7}:{(2,1),(16,1),(376,1),(392,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(55,1),(329,1),(333,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(22,1),(23,1),(29,1),(69,1),(114,1),(117,1),(208,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1)}
        12:{3,5,6}:{(4,1),(6,1),(24,1),(25,1),(308,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(33,1),(77,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{4,5,7}:{(6,1),(8,1),(25,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(32,1),(225,1),(240,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(32,1),(33,1),(77,1),(328,1)}
        19:{2,3,4,7}:{(9,1),(34,1),(35,1),(45,1),(147,1),(156,1),(181,1),(277,1),(281,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(34,1),(36,1),(37,1),(39,1),(81,1),(384,1)}
        21:{2,3,6}:{(9,1),(11,1),(37,1),(379,1),(383,1)}
        22:{2,4,5,7}:{(10,1),(36,1),(39,1),(40,1),(47,1),(85,1),(99,1),(102,1),(154,1),(163,1),(169,1)}
        23:{1,4,6}:{(10,1),(11,1),(37,1),(40,1),(41,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(41,1),(258,1)}
        25:{4,5,6}:{(12,1),(16,1),(360,1),(376,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(37,1),(43,1),(44,1),(46,1),(108,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(38,1),(44,1),(45,1),(49,1),(104,1),(181,1)}
        28:{2,4,6,7}:{(14,1),(40,1),(43,1),(46,1),(47,1),(99,1),(102,1)}
        29:{1,5,7}:{(14,1),(15,1),(41,1),(47,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(42,1),(45,1),(48,1),(49,1),(104,1),(290,1),(292,1),(392,1)}
        31:{2,5,6,7}:{(17,1),(47,1),(50,1),(51,1),(178,1),(189,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(48,1),(51,1),(52,1),(108,1),(279,1)}
        33:{3,6,7}:{(18,1),(49,1),(379,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(53,1),(54,1),(61,1),(69,1),(109,1),(117,1),(136,1),(233,1),(334,1)}
        35:{2,3,4,6}:{(19,1),(21,1),(54,1),(55,1),(60,1),(193,1),(205,1),(215,1),(296,1),(305,1),(312,1),(316,1)}
        36:{2,5,7}:{(20,1),(53,1),(58,1),(113,1)}
        37:{1,3,6}:{(20,1),(21,1),(23,1),(58,1),(62,1),(427,1)}
        38:{2,3,5,6}:{(21,1),(24,1),(27,1),(55,1),(59,1),(60,1),(65,1),(129,1),(215,1)}
        39:{3,5,7}:{(22,1),(61,1),(62,1),(126,1),(136,1),(201,1)}
        40:{2,4,6}:{(22,1),(23,1),(58,1),(62,1),(63,1),(127,1)}
        41:{1,5,6}:{(23,1),(24,1),(29,1),(63,1),(208,1)}
        42:{2,4,5,6}:{(24,1),(25,1),(30,1),(60,1),(64,1),(65,1),(129,1),(311,1),(324,1),(328,1),(343,1),(434,1)}
        43:{2,6,7}:{(26,1),(58,1),(68,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(68,1),(69,1),(72,1),(136,1),(142,1),(233,1)}
        45:{2,4,7}:{(27,1),(60,1),(69,1),(70,1)}
        46:{3,6,7}:{(28,1),(62,1),(72,1),(136,1)}
        47:{2,5,7}:{(28,1),(29,1),(63,1),(72,1)}
        48:{1,4,5,7}:{(29,1),(30,1),(32,1),(64,1),(69,1),(73,1),(74,1),(142,1),(237,1),(240,1)}
        49:{3,5,7}:{(30,1),(33,1),(65,1),(70,1),(342,1)}
        50:{3,5,6,7}:{(31,1),(72,1),(75,1),(76,1),(138,1),(144,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(73,1),(75,1),(76,1),(77,1),(230,1)}
        52:{1,3,6,7}:{(32,1),(33,1),(74,1),(76,1),(77,1),(332,1)}
        53:{2,4,7}:{(34,1),(36,1),(79,1),(80,1),(287,1)}
        54:{1,3,4,6}:{(34,1),(35,1),(37,1),(80,1),(81,1),(88,1),(91,1),(149,1),(159,1),(165,1),(247,1),(252,1),(269,1),(356,1),(368,1)}
        55:{2,3,5}:{(35,1),(81,1),(82,1),(258,1),(363,1),(367,1)}
        56:{1,2,5,7}:{(36,1),(78,1),(83,1),(84,1),(150,1),(242,1),(384,1)}
        57:{2,3,5,7}:{(36,1),(39,1),(79,1),(83,1),(85,1),(86,1),(153,1),(163,1)}
        58:{2,6}:{(36,1),(37,1)}
        59:{1,3,5,6}:{(37,1),(38,1),(41,1),(44,1),(81,1),(87,1),(88,1),(92,1),(165,1),(172,1),(269,1)}
        60:{2,4,6}:{(38,1),(45,1),(82,1),(88,1),(89,1)}
        61:{3,4,7}:{(39,1),(85,1),(91,1),(102,1),(252,1)}
        62:{3,6}:{(39,1),(40,1)}
        63:{2,5,6}:{(40,1),(41,1),(47,1),(92,1),(163,1)}
        64:{1,4,5,6}:{(41,1),(42,1),(48,1),(88,1),(93,1),(94,1),(172,1),(262,1),(272,1),(279,1),(291,1)}
        65:{3,5,6}:{(42,1),(49,1),(89,1),(363,1),(374,1),(379,1)}
        66:{1,2,6,7}:{(43,1),(84,1),(95,1),(96,1),(108,1),(191,1),(345,1),(383,1),(466,1),(467,1),(519,1)}
        67:{2,3,6,7}:{(43,1),(46,1),(86,1),(95,1),(97,1),(98,1),(284,1),(383,1),(519,1),(520,1),(544,1)}
        68:{2,5,7}:{(43,1),(44,1),(87,1),(99,1),(287,1)}
        69:{1,4,7}:{(44,1),(45,1),(88,1),(99,1),(102,1)}
        70:{3,4,7}:{(45,1),(49,1),(89,1),(392,1)}
        71:{3,4,6,7}:{(46,1),(91,1),(97,1),(101,1),(102,1),(180,1),(184,1),(284,1),(544,1),(545,1),(551,1)}
        72:{3,5,7}:{(46,1),(47,1),(92,1),(102,1)}
        73:{2,4,5,7}:{(47,1),(48,1),(51,1),(93,1),(99,1),(102,1),(103,1),(104,1),(105,1),(186,1),(189,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(52,1),(94,1),(100,1),(103,1),(104,1)}
        75:{4,6,7}:{(50,1),(102,1),(105,1),(184,1)}
        76:{3,6,7}:{(51,1),(103,1),(284,1)}
        77:{2,6,7}:{(52,1),(104,1),(108,1),(383,1)}
        78:{1,2,4,7}:{(53,1),(56,1),(109,1),(110,1),(117,1),(192,1),(334,1),(335,1)}
        79:{2,3,7}:{(53,1),(109,1),(112,1),(136,1)}
        80:{2,4,6}:{(53,1),(54,1),(58,1),(112,1),(113,1),(200,1),(322,1),(403,1)}
        81:{1,3,5}:{(54,1),(55,1),(113,1),(114,1),(126,1),(201,1),(208,1),(413,1)}
        82:{2,4,5}:{(55,1),(60,1),(114,1),(115,1),(296,1)}
        83:{1,3,5,7}:{(56,1),(57,1),(109,1),(116,1),(117,1),(118,1),(196,1),(208,1)}
        84:{1,2,6}:{(56,1),(58,1),(118,1),(294,1),(427,1)}
        85:{2,4,7}:{(57,1),(61,1),(117,1),(121,1),(200,1)}
        86:{2,3,6}:{(57,1),(58,1),(62,1),(118,1),(121,1)}
        87:{2,5,6}:{(58,1),(59,1),(68,1),(113,1),(123,1),(322,1)}
        88:{1,4,6}:{(59,1),(60,1),(69,1),(114,1),(123,1),(127,1)}
        89:{3,4,6}:{(60,1),(65,1),(70,1),(115,1),(434,1)}
        90:{3,4,5,7}:{(61,1),(120,1),(125,1),(126,1),(139,1),(217,1),(231,1),(304,1),(402,1)}
        91:{3,4,6}:{(61,1),(62,1),(121,1),(126,1),(127,1)}
        92:{3,5,6}:{(62,1),(63,1),(72,1),(126,1),(127,1)}
        93:{2,4,5,6}:{(63,1),(64,1),(73,1),(123,1),(127,1),(128,1),(129,1),(143,1),(213,1),(220,1),(230,1),(239,1)}
        94:{1,3,5,6}:{(64,1),(65,1),(74,1),(124,1),(128,1),(129,1),(315,1),(332,1)}
        95:{1,3,6,7}:{(66,1),(67,1),(118,1),(130,1),(131,1),(132,1),(332,1),(427,1),(498,1)}
        96:{1,2,5,7}:{(66,1),(68,1),(119,1),(132,1),(133,1),(142,1),(238,1),(333,1),(335,1),(393,1),(487,1),(529,1)}
        97:{2,4,6,7}:{(67,1),(71,1),(121,1),(131,1),(134,1),(135,1),(230,1),(536,1)}
        98:{2,3,5,7}:{(67,1),(68,1),(72,1),(122,1),(132,1),(134,1),(135,1),(136,1),(228,1),(231,1),(333,1),(529,1),(547,1),(548,1)}
        99:{2,4,7}:{(68,1),(69,1),(123,1),(136,1)}
       100:{1,3,4,7}:{(69,1),(70,1),(74,1),(124,1),(136,1),(137,1),(140,1),(233,1),(237,1),(342,1)}
       101:{3,5,7}:{(71,1),(126,1),(134,1),(138,1),(139,1),(550,1)}
       102:{4,7}:{(72,1),(127,1)}
       103:{3,5,7}:{(73,1),(76,1),(128,1),(136,1),(140,1)}
       104:{2,5,7}:{(74,1),(77,1),(129,1),(137,1),(142,1)}
       105:{4,5,7}:{(75,1),(143,1),(144,1)}
       106:{3,4,6,7}:{(75,1),(76,1),(140,1),(144,1),(145,1),(235,1)}
       107:{2,3,6,7}:{(76,1),(77,1),(141,1),(145,1),(146,1),(337,1)}
       108:{1,6,7}:{(77,1),(142,1),(427,1)}
       109:{1,3,7}:{(78,1),(79,1),(147,1),(149,1)}
       110:{1,2,4,6}:{(78,1),(80,1),(84,1),(149,1),(150,1),(159,1),(243,1),(247,1),(368,1),(369,1),(442,1)}
       111:{2,3,4,7}:{(79,1),(85,1),(148,1),(151,1),(152,1),(180,1),(281,1),(354,1),(502,1)}
       112:{2,3,6}:{(79,1),(80,1),(149,1),(153,1),(165,1),(443,1)}
       113:{2,5}:{(80,1),(81,1)}
       114:{1,4,5}:{(81,1),(82,1),(88,1),(154,1),(169,1),(247,1)}
       115:{3,4,5}:{(82,1),(89,1),(348,1),(363,1),(472,1)}
       116:{2,3,5,7}:{(83,1),(147,1),(156,1),(157,1),(242,1),(244,1),(255,1),(258,1)}
       117:{1,4,7}:{(83,1),(85,1),(156,1),(159,1),(247,1)}
       118:{1,3,6}:{(83,1),(84,1),(86,1),(157,1),(159,1)}
       119:{1,2,5,6}:{(84,1),(87,1),(96,1),(150,1),(160,1),(161,1),(172,1),(273,1),(346,1),(367,1),(369,1),(383,1),(452,1),(453,1),(467,1),(511,1)}
       120:{2,4,5,7}:{(85,1),(90,1),(151,1),(158,1),(162,1),(163,1),(251,1),(265,1),(354,1)}
       121:{2,4,6}:{(85,1),(86,1),(91,1),(159,1),(163,1)}
       122:{2,3,5,6}:{(86,1),(87,1),(92,1),(98,1),(153,1),(160,1),(163,1),(164,1),(165,1),(178,1),(264,1),(267,1),(284,1),(367,1),(383,1),(511,1),(512,1),(520,1),(540,1),(543,1),(546,1)}
       123:{2,4,6}:{(87,1),(88,1),(99,1),(154,1),(165,1)}
       124:{1,3,4,6}:{(88,1),(89,1),(94,1),(100,1),(155,1),(165,1),(166,1),(170,1),(269,1),(272,1),(374,1)}
       125:{3,4,6}:{(90,1),(162,1),(168,1),(184,1),(284,1)}
       126:{3,5}:{(91,1),(163,1),(169,1)}
       127:{4,6}:{(92,1),(102,1),(169,1)}
       128:{3,5,6}:{(93,1),(103,1),(165,1),(170,1),(267,1),(284,1)}
       129:{2,5,6}:{(94,1),(104,1),(166,1),(172,1),(367,1),(383,1)}
       130:{2,3,6,7}:{(95,1),(157,1),(173,1),(174,1),(191,1),(293,1),(345,1),(358,1),(379,1),(383,1),(469,1)}
       131:{1,4,6,7}:{(95,1),(97,1),(159,1),(173,1),(175,1),(176,1),(279,1),(522,1)}
       132:{1,3,5,7}:{(95,1),(96,1),(98,1),(160,1),(174,1),(175,1),(176,1),(177,1),(282,1),(384,1)}
       133:{1,2,4,7}:{(96,1),(99,1),(161,1),(176,1),(177,1),(182,1),(281,1),(287,1),(290,1),(435,1),(506,1),(538,1),(539,1)}
       134:{2,5,7}:{(97,1),(101,1),(163,1),(175,1),(178,1),(546,1)}
       135:{2,4,7}:{(98,1),(102,1),(164,1),(176,1),(180,1),(551,1)}
       136:{3,7}:{(99,1),(165,1)}
       137:{2,4,7}:{(100,1),(104,1),(166,1),(181,1),(182,1),(287,1)}
       138:{3,5,6}:{(101,1),(178,1),(184,1),(284,1)}
       139:{4,5,7}:{(101,1),(102,1),(169,1),(184,1),(551,1),(552,1)}
       140:{3,4,7}:{(102,1),(103,1),(170,1),(186,1)}
       141:{2,3,5,7}:{(103,1),(104,1),(107,1),(171,1),(181,1),(186,1),(187,1),(189,1)}
       142:{1,5,7}:{(104,1),(108,1),(172,1),(182,1)}
       143:{4,5,6}:{(105,1),(184,1),(188,1),(552,1)}
       144:{3,5,7}:{(105,1),(106,1),(188,1),(189,1)}
       145:{2,4,6,7}:{(106,1),(107,1),(186,1),(189,1),(190,1),(288,1)}
       146:{1,3,6,7}:{(107,1),(108,1),(187,1),(190,1),(191,1),(293,1),(386,1)}
       147:{2,3,7}:{(109,1),(192,1),(193,1),(473,1)}
       148:{1,3,4,7}:{(109,1),(111,1),(117,1),(192,1),(194,1),(195,1),(203,1),(334,1),(397,1),(473,1),(524,1)}
       149:{1,3,6}:{(109,1),(110,1),(112,1),(193,1),(196,1),(479,1)}
       150:{1,2,5}:{(110,1),(113,1),(196,1),(208,1),(295,1),(413,1)}
       151:{2,3,5,7}:{(111,1),(120,1),(194,1),(198,1),(199,1),(231,1),(333,1)}
       152:{2,3,4,6}:{(111,1),(112,1),(121,1),(195,1),(198,1),(199,1),(200,1),(214,1),(303,1),(316,1),(396,1),(474,1)}
       153:{2,3,5}:{(112,1),(113,1),(196,1),(200,1),(201,1)}
       154:{2,4,5}:{(113,1),(114,1),(123,1),(200,1),(201,1)}
       155:{1,3,4,5}:{(114,1),(115,1),(124,1),(201,1),(202,1),(219,1),(300,1),(306,1),(315,1),(323,1),(417,1)}
       156:{2,4,7}:{(116,1),(117,1),(203,1),(205,1),(296,1)}
       157:{2,3,6}:{(116,1),(118,1),(205,1),(294,1),(307,1)}
       158:{1,4,5,7}:{(117,1),(120,1),(194,1),(204,1),(207,1),(208,1),(299,1),(313,1),(397,1)}
       159:{1,4,6}:{(117,1),(118,1),(121,1),(205,1),(208,1)}
       160:{1,3,5,6}:{(118,1),(119,1),(122,1),(132,1),(196,1),(206,1),(208,1),(209,1),(210,1),(225,1),(315,1),(317,1),(332,1),(413,1),(427,1),(488,1),(498,1),(537,1)}
       161:{1,2,4,6}:{(119,1),(123,1),(133,1),(197,1),(209,1),(210,1),(216,1),(316,1),(322,1),(324,1),(394,1),(478,1),(525,1),(527,1)}
       162:{2,4,6}:{(120,1),(125,1),(198,1),(207,1),(212,1)}
       163:{2,5}:{(121,1),(126,1),(208,1)}
       164:{2,4,6}:{(122,1),(127,1),(135,1),(200,1),(209,1),(213,1),(214,1),(530,1),(549,1)}
       165:{3,6}:{(123,1),(136,1),(201,1)}
       166:{2,4,6}:{(124,1),(129,1),(137,1),(202,1),(215,1),(216,1),(322,1)}
       167:{3,4,6,7}:{(125,1),(211,1),(217,1),(234,1),(336,1),(402,1)}
       168:{3,5,6}:{(125,1),(126,1),(212,1),(217,1),(218,1)}
       169:{4,5}:{(126,1),(127,1)}
       170:{3,4,6}:{(127,1),(128,1),(140,1),(219,1),(220,1)}
       171:{2,3,5,6}:{(128,1),(129,1),(141,1),(215,1),(220,1),(221,1),(239,1),(320,1),(337,1)}
       172:{1,5,6}:{(129,1),(142,1),(216,1),(413,1),(427,1)}
       173:{2,4,6,7}:{(130,1),(131,1),(205,1),(222,1),(223,1),(224,1),(328,1),(500,1)}
       174:{2,3,5,7}:{(130,1),(132,1),(206,1),(223,1),(224,1),(228,1),(238,1),(329,1),(333,1),(342,1),(344,1),(393,1),(404,1),(473,1)}
       175:{1,5,7}:{(131,1),(134,1),(208,1),(223,1),(225,1),(537,1)}
       176:{1,4,7}:{(132,1),(135,1),(209,1),(224,1)}
       177:{1,3,7}:{(133,1),(136,1),(210,1),(228,1),(342,1),(473,1),(547,1)}
       178:{2,5,6}:{(134,1),(138,1),(225,1),(230,1)}
       179:{2,4,5,7}:{(134,1),(135,1),(139,1),(213,1),(226,1),(230,1),(231,1),(333,1)}
       180:{3,4,7}:{(135,1),(136,1),(214,1),(231,1),(547,1)}
       181:{2,3,7}:{(136,1),(137,1),(215,1),(233,1),(342,1)}
       182:{1,4,7}:{(137,1),(142,1),(216,1),(233,1)}
       183:{3,5,6,7}:{(138,1),(217,1),(229,1),(234,1),(336,1),(548,1)}
       184:{4,6}:{(138,1),(139,1)}
       185:{3,4,5,7}:{(139,1),(140,1),(144,1),(219,1),(231,1),(235,1),(236,1),(535,1),(550,1)}
       186:{2,4,7}:{(140,1),(141,1),(220,1),(237,1)}
       187:{1,3,5,7}:{(141,1),(142,1),(146,1),(221,1),(233,1),(237,1),(238,1),(240,1),(342,1),(344,1)}
       188:{3,5,6}:{(143,1),(144,1),(235,1),(239,1),(550,1)}
       189:{2,5,7}:{(144,1),(145,1),(239,1),(240,1)}
       190:{1,4,6,7}:{(145,1),(146,1),(237,1),(240,1),(241,1),(340,1)}
       191:{2,6,7}:{(146,1),(238,1),(430,1)}
       192:{2,4,7}:{(147,1),(148,1),(242,1),(243,1),(538,1)}
       193:{2,3,6}:{(147,1),(149,1),(243,1),(244,1),(436,1),(505,1)}
       194:{1,3,5,7}:{(148,1),(151,1),(158,1),(242,1),(245,1),(246,1),(255,1),(384,1)}
       195:{1,3,4,6}:{(148,1),(149,1),(152,1),(159,1),(243,1),(245,1),(246,1),(247,1),(256,1),(348,1),(350,1),(368,1),(436,1),(438,1),(503,1)}
       196:{1,3,5}:{(149,1),(150,1),(153,1),(244,1),(247,1)}
       197:{1,2,4,5}:{(150,1),(154,1),(161,1),(247,1),(248,1),(254,1),(262,1),(347,1),(352,1),(357,1),(367,1),(373,1),(441,1),(442,1),(453,1),(504,1),(509,1),(513,1)}
       198:{2,3,6}:{(151,1),(162,1),(245,1),(284,1),(383,1)}
       199:{2,3,5}:{(152,1),(163,1),(246,1),(251,1),(267,1),(367,1)}
       200:{2,4}:{(153,1),(247,1),(252,1)}
       201:{3,5}:{(154,1),(165,1),(252,1)}
       202:{2,4,5}:{(155,1),(166,1),(253,1),(254,1),(352,1),(357,1),(367,1)}
       203:{3,4,7}:{(156,1),(255,1),(256,1),(348,1),(444,1)}
       204:{2,4,5,7}:{(156,1),(158,1),(242,1),(255,1),(257,1),(258,1),(347,1),(360,1),(361,1),(435,1),(444,1)}
       205:{2,4,6}:{(156,1),(157,1),(159,1),(256,1),(258,1)}
       206:{2,3,5,6}:{(157,1),(160,1),(174,1),(244,1),(258,1),(259,1),(264,1),(273,1),(275,1),(346,1),(359,1),(363,1),(367,1),(374,1),(379,1),(383,1),(391,1),(436,1),(455,1),(469,1),(523,1)}
       207:{1,4,6}:{(158,1),(162,1),(245,1),(257,1),(261,1)}
       208:{1,5}:{(159,1),(163,1),(258,1)}
       209:{1,4,6}:{(160,1),(164,1),(176,1),(247,1),(259,1),(262,1),(513,1)}
       210:{1,3,6}:{(161,1),(165,1),(177,1),(248,1),(264,1),(374,1),(436,1),(540,1)}
       211:{2,4,6,7}:{(162,1),(167,1),(249,1),(260,1),(265,1),(354,1)}
       212:{2,5,6}:{(162,1),(163,1),(168,1),(261,1),(265,1)}
       213:{2,4,5}:{(163,1),(164,1),(169,1),(262,1),(267,1),(367,1),(546,1),(552,1)}
       214:{3,4,6}:{(164,1),(165,1),(180,1),(252,1),(267,1),(284,1),(540,1),(541,1)}
       215:{2,3,6}:{(165,1),(166,1),(181,1),(253,1),(269,1),(374,1)}
       216:{1,4,6}:{(166,1),(172,1),(182,1),(254,1),(269,1)}
       217:{3,5,7}:{(167,1),(168,1),(265,1),(270,1)}
       218:{4,5,6}:{(168,1),(169,1),(184,1),(270,1)}
       219:{3,4,5}:{(169,1),(170,1),(267,1),(271,1),(541,1)}
       220:{2,4,6}:{(170,1),(171,1),(186,1),(271,1),(272,1)}
       221:{1,3,5,6}:{(171,1),(172,1),(187,1),(269,1),(272,1),(273,1),(291,1),(371,1),(374,1),(386,1),(391,1)}
       222:{3,4,6,7}:{(173,1),(256,1),(274,1),(277,1),(293,1),(358,1),(376,1),(379,1),(392,1),(444,1),(471,1)}
       223:{2,5,7}:{(173,1),(175,1),(258,1),(274,1),(275,1),(523,1)}
       224:{2,4,7}:{(174,1),(176,1),(259,1),(277,1),(392,1),(444,1)}
       225:{1,5,6}:{(175,1),(178,1),(275,1),(279,1)}
       226:{1,4,5,7}:{(175,1),(176,1),(179,1),(262,1),(276,1),(279,1),(280,1),(384,1)}
       227:{1,3,4,7}:{(176,1),(177,1),(180,1),(263,1),(277,1),(280,1),(281,1)}
       228:{2,3,7}:{(177,1),(264,1),(281,1),(282,1),(287,1),(538,1)}
       229:{2,5,6,7}:{(178,1),(183,1),(265,1),(278,1),(283,1),(542,1)}
       230:{2,4,6}:{(178,1),(179,1),(184,1),(279,1),(284,1),(383,1)}
       231:{3,5,7}:{(179,1),(180,1),(267,1),(284,1)}
       232:{2,3,4,7}:{(180,1),(181,1),(186,1),(268,1),(281,1),(285,1),(286,1),(465,1),(521,1)}
       233:{1,3,7}:{(181,1),(182,1),(269,1),(287,1)}
       234:{4,6,7}:{(183,1),(184,1),(270,1),(551,1)}
       235:{3,4,6}:{(184,1),(185,1),(188,1),(284,1),(288,1)}
       236:{2,4,5,7}:{(185,1),(186,1),(189,1),(271,1),(285,1),(288,1),(289,1),(521,1),(546,1)}
       237:{1,4,7}:{(186,1),(187,1),(272,1),(290,1),(392,1)}
       238:{2,5,7}:{(187,1),(191,1),(273,1),(287,1),(290,1)}
       239:{2,5,6}:{(188,1),(189,1),(288,1),(291,1),(546,1)}
       240:{1,5,7}:{(189,1),(190,1),(291,1),(292,1)}
       241:{2,4,6,7}:{(190,1),(191,1),(290,1),(292,1),(293,1),(389,1),(392,1)}
       242:{2,5,7}:{(192,1),(194,1),(294,1),(295,1)}
       243:{2,4,6}:{(192,1),(193,1),(195,1),(294,1),(295,1),(296,1),(476,1),(525,1)}
       244:{2,3,5}:{(193,1),(196,1),(295,1),(296,1),(395,1)}
       245:{1,3,6}:{(194,1),(198,1),(207,1),(294,1),(307,1),(427,1)}
       246:{1,3,5}:{(195,1),(199,1),(208,1),(295,1),(299,1),(308,1),(395,1),(413,1)}
       247:{1,4}:{(196,1),(200,1),(296,1)}
       248:{1,3,5}:{(197,1),(201,1),(210,1),(300,1),(301,1),(395,1),(417,1),(479,1),(528,1)}
       249:{2,3,6,7}:{(198,1),(211,1),(297,1),(302,1),(336,1),(426,1)}
       250:{2,3,5,6}:{(198,1),(199,1),(212,1),(298,1),(302,1),(303,1),(319,1),(412,1),(474,1)}
       251:{2,4,5}:{(199,1),(200,1),(299,1),(303,1),(304,1)}
       252:{3,4}:{(200,1),(201,1)}
       253:{2,3,5}:{(201,1),(202,1),(215,1),(305,1),(306,1),(417,1)}
       254:{1,4,5}:{(202,1),(216,1),(306,1),(400,1),(413,1)}
       255:{3,5,7}:{(203,1),(204,1),(307,1),(308,1),(395,1),(473,1)}
       256:{3,4,6}:{(203,1),(205,1),(307,1),(308,1),(405,1)}
       257:{2,4,6}:{(204,1),(207,1),(294,1),(307,1),(310,1),(405,1)}
       258:{2,5}:{(205,1),(208,1),(308,1)}
       259:{2,4,6}:{(206,1),(209,1),(224,1),(296,1),(311,1),(312,1),(405,1),(434,1),(489,1)}
       260:{1,4,6,7}:{(207,1),(211,1),(297,1),(309,1),(313,1),(397,1)}
       261:{1,5,6}:{(207,1),(208,1),(212,1),(310,1),(313,1)}
       262:{1,4,5}:{(208,1),(209,1),(213,1),(311,1),(315,1),(413,1),(537,1)}
       263:{1,3,4,6}:{(209,1),(210,1),(214,1),(227,1),(300,1),(312,1),(315,1),(316,1),(332,1)}
       264:{2,3,6}:{(210,1),(228,1),(301,1),(316,1),(317,1),(322,1),(525,1)}
       265:{2,5,7}:{(211,1),(212,1),(217,1),(313,1)}
       266:{2,4,5,6}:{(212,1),(213,1),(218,1),(230,1),(303,1),(314,1),(318,1),(319,1),(412,1),(527,1),(532,1),(549,1)}
       267:{3,5}:{(213,1),(214,1)}
       268:{2,3,4,6}:{(214,1),(215,1),(220,1),(232,1),(305,1),(316,1),(320,1),(321,1),(337,1),(486,1),(530,1),(536,1)}
       269:{1,3,6}:{(215,1),(216,1),(233,1),(306,1),(322,1)}
       270:{4,5,7}:{(217,1),(218,1),(234,1)}
       271:{2,4,5}:{(219,1),(220,1),(320,1),(323,1),(530,1)}
       272:{1,4,6}:{(220,1),(221,1),(237,1),(323,1),(324,1),(434,1)}
       273:{2,5,6}:{(221,1),(238,1),(322,1),(324,1),(415,1),(430,1)}
       274:{3,5,7}:{(222,1),(223,1),(308,1),(325,1),(326,1),(501,1)}
       275:{2,5,6}:{(223,1),(225,1),(325,1),(328,1)}
       276:{2,4,5,7}:{(223,1),(224,1),(226,1),(311,1),(326,1),(328,1),(329,1),(333,1)}
       277:{3,4,7}:{(224,1),(312,1),(329,1),(342,1),(473,1)}
       278:{1,5,6,7}:{(225,1),(229,1),(313,1),(327,1),(331,1),(531,1)}
       279:{1,4,6}:{(225,1),(226,1),(230,1),(328,1),(332,1),(427,1)}
       280:{1,3,5,7}:{(226,1),(227,1),(231,1),(315,1),(329,1),(332,1),(333,1)}
       281:{2,4,7}:{(227,1),(228,1),(316,1),(333,1),(334,1)}
       282:{1,3,7}:{(228,1),(317,1),(334,1),(335,1)}
       283:{2,4,6,7}:{(229,1),(230,1),(234,1),(318,1),(331,1),(336,1),(426,1)}
       284:{3,6}:{(230,1),(231,1)}
       285:{2,3,5,7}:{(231,1),(232,1),(236,1),(320,1),(333,1),(337,1),(338,1)}
       286:{1,3,4,7}:{(232,1),(233,1),(237,1),(321,1),(334,1),(338,1),(339,1),(342,1),(429,1),(433,1),(499,1)}
       287:{2,7}:{(233,1),(322,1)}
       288:{2,4,6}:{(235,1),(236,1),(239,1),(337,1),(340,1)}
       289:{1,4,5,7}:{(236,1),(237,1),(240,1),(323,1),(338,1),(340,1),(341,1),(499,1),(537,1)}
       290:{2,4,7}:{(237,1),(238,1),(324,1),(342,1)}
       291:{1,5,6}:{(239,1),(240,1),(340,1),(343,1),(537,1)}
       292:{2,5,7}:{(240,1),(241,1),(343,1),(344,1)}
       293:{3,6,7}:{(241,1),(342,1),(344,1),(432,1)}
       294:{2,6}:{(242,1),(245,1)}
       295:{2,5}:{(243,1),(246,1)}
       296:{2,4}:{(244,1),(247,1),(348,1)}
       297:{1,3,6,7}:{(245,1),(249,1),(260,1),(345,1),(349,1),(358,1),(466,1)}
       298:{1,3,5,6}:{(245,1),(246,1),(250,1),(261,1),(346,1),(349,1),(350,1),(359,1),(436,1),(452,1),(503,1)}
       299:{1,4,5}:{(246,1),(247,1),(251,1),(347,1),(350,1),(360,1)}
       300:{1,3,4}:{(247,1),(248,1),(252,1),(348,1),(352,1),(456,1),(513,1),(541,1)}
       301:{2,3,5}:{(248,1),(264,1),(352,1),(353,1),(357,1),(367,1),(443,1),(504,1),(505,1)}
       302:{2,3,5,7}:{(249,1),(250,1),(265,1),(349,1),(354,1),(370,1),(451,1),(502,1)}
       303:{2,4,6}:{(250,1),(251,1),(350,1),(354,1),(355,1)}
       304:{3,4,5}:{(251,1),(252,1),(267,1),(355,1),(552,1)}
       305:{2,3,4}:{(252,1),(253,1),(352,1),(356,1),(456,1),(505,1)}
       306:{1,3,5}:{(253,1),(254,1),(269,1),(356,1),(357,1)}
       307:{3,6}:{(255,1),(257,1)}
       308:{3,5}:{(256,1),(258,1),(360,1)}
       309:{2,4,6,7}:{(257,1),(260,1),(345,1),(358,1),(361,1),(435,1),(444,1)}
       310:{2,5,6}:{(257,1),(258,1),(261,1),(359,1),(361,1)}
       311:{2,4,5}:{(258,1),(259,1),(262,1),(360,1),(363,1),(367,1),(472,1),(523,1)}
       312:{3,4,6}:{(259,1),(277,1),(348,1),(363,1),(374,1),(379,1),(436,1),(456,1)}
       313:{1,5,7}:{(260,1),(261,1),(265,1),(361,1)}
       314:{1,4,5,6}:{(261,1),(262,1),(266,1),(279,1),(350,1),(362,1),(365,1),(366,1),(452,1),(508,1),(515,1)}
       315:{1,3,5}:{(262,1),(263,1),(267,1),(363,1),(367,1)}
       316:{2,4,6}:{(263,1),(264,1),(281,1),(352,1),(367,1),(368,1),(383,1)}
       317:{1,3,6}:{(264,1),(282,1),(353,1),(368,1),(369,1)}
       318:{2,4,5,7}:{(265,1),(266,1),(270,1),(283,1),(354,1),(365,1),(370,1),(451,1),(539,1),(542,1),(551,1)}
       319:{3,5,6}:{(266,1),(267,1),(284,1),(355,1),(370,1),(540,1)}
       320:{2,3,5}:{(267,1),(268,1),(271,1),(367,1),(371,1),(546,1)}
       321:{1,3,4,6}:{(268,1),(269,1),(272,1),(286,1),(356,1),(368,1),(371,1),(372,1),(374,1),(386,1),(454,1),(456,1),(471,1),(513,1),(522,1)}
       322:{2,6}:{(269,1),(287,1),(357,1)}
       323:{1,4,5}:{(271,1),(272,1),(371,1),(373,1),(472,1),(513,1)}
       324:{2,4,6}:{(272,1),(273,1),(290,1),(373,1),(374,1)}
       325:{3,5,6}:{(274,1),(275,1),(376,1),(379,1)}
       326:{4,5,7}:{(274,1),(360,1),(376,1),(392,1),(444,1),(472,1)}
       327:{2,5,6,7}:{(275,1),(278,1),(361,1),(375,1),(378,1),(514,1)}
       328:{2,4,6}:{(275,1),(276,1),(279,1),(376,1),(379,1),(383,1)}
       329:{3,5,7}:{(276,1),(277,1),(363,1),(379,1)}
       330:{2,3,4,7}:{(277,1),(281,1),(364,1),(380,1),(381,1),(388,1),(470,1),(502,1),(507,1)}
       331:{1,4,6,7}:{(278,1),(279,1),(283,1),(365,1),(378,1),(382,1),(466,1)}
       332:{1,3,6}:{(279,1),(280,1),(284,1),(379,1),(383,1)}
       333:{2,5,7}:{(280,1),(281,1),(367,1),(383,1),(384,1)}
       334:{1,4,7}:{(281,1),(282,1),(368,1),(384,1)}
       335:{1,2,7}:{(282,1),(287,1),(369,1),(538,1)}
       336:{3,6,7}:{(283,1),(284,1),(370,1)}
       337:{2,3,6}:{(284,1),(285,1),(288,1),(383,1),(386,1)}
       338:{1,3,5,7}:{(285,1),(286,1),(289,1),(371,1),(384,1),(386,1),(387,1),(390,1)}
       339:{2,4,7}:{(286,1),(287,1),(372,1),(387,1),(388,1)}
       340:{1,4,6}:{(288,1),(289,1),(291,1),(386,1),(389,1)}
       341:{2,4,5,7}:{(289,1),(290,1),(292,1),(373,1),(387,1),(389,1),(390,1),(392,1),(470,1),(472,1),(523,1)}
       342:{3,7}:{(290,1),(374,1)}
       343:{2,5,6}:{(291,1),(292,1),(389,1),(391,1),(523,1)}
       344:{3,5,7}:{(292,1),(293,1),(391,1),(392,1)}
       345:{2,6,7}:{(294,1),(297,1),(393,1)}
       346:{2,5,6}:{(294,1),(295,1),(298,1),(393,1),(394,1),(525,1)}
       347:{2,4,5}:{(295,1),(296,1),(299,1),(394,1),(395,1)}
       348:{3,4}:{(296,1),(395,1)}
       349:{1,3,5,7}:{(297,1),(298,1),(302,1),(313,1),(393,1),(397,1),(404,1),(473,1),(487,1),(524,1)}
       350:{1,4,6}:{(298,1),(299,1),(303,1),(394,1),(397,1),(405,1)}
       351:{1,3,4,5}:{(299,1),(300,1),(304,1),(315,1),(395,1),(398,1),(399,1),(406,1),(475,1),(482,1),(528,1)}
       352:{2,4}:{(300,1),(301,1),(400,1)}
       353:{1,3,5}:{(301,1),(317,1),(400,1),(401,1),(413,1),(479,1)}
       354:{2,4,7}:{(302,1),(303,1),(397,1),(402,1)}
       355:{3,4,6}:{(303,1),(304,1),(319,1),(402,1),(549,1)}
       356:{1,3,4}:{(305,1),(306,1),(400,1),(403,1),(479,1)}
       357:{2,5}:{(306,1),(322,1),(403,1)}
       358:{3,6,7}:{(307,1),(309,1),(404,1),(473,1)}
       359:{3,5,6}:{(307,1),(308,1),(310,1),(404,1),(405,1)}
       360:{4,5}:{(308,1),(405,1)}
       361:{2,5,7}:{(309,1),(310,1),(313,1),(404,1)}
       362:{2,4,5,6}:{(310,1),(311,1),(314,1),(328,1),(394,1),(405,1),(407,1),(408,1),(412,1),(418,1),(481,1),(491,1)}
       363:{3,5}:{(311,1),(312,1)}
       364:{2,3,4,6}:{(312,1),(316,1),(330,1),(396,1),(409,1),(410,1),(416,1),(423,1),(474,1),(481,1),(489,1),(500,1)}
       365:{1,4,5,7}:{(313,1),(314,1),(318,1),(331,1),(397,1),(407,1),(411,1),(487,1),(526,1),(531,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(319,1),(332,1),(398,1),(408,1),(411,1),(412,1)}
       367:{2,5}:{(315,1),(316,1),(413,1)}
       368:{1,4,6}:{(316,1),(317,1),(334,1),(400,1),(413,1),(427,1)}
       369:{1,2,6}:{(317,1),(322,1),(335,1),(401,1),(525,1)}
       370:{3,5,7}:{(318,1),(319,1),(336,1),(402,1),(547,1)}
       371:{1,3,5}:{(320,1),(321,1),(323,1),(413,1),(415,1),(417,1),(501,1),(537,1)}
       372:{2,4,6}:{(321,1),(322,1),(339,1),(403,1),(415,1),(416,1),(430,1),(489,1)}
       373:{2,4,5}:{(323,1),(324,1),(415,1),(417,1),(489,1)}
       374:{3,6}:{(324,1),(342,1),(417,1)}
       375:{3,5,6,7}:{(325,1),(327,1),(404,1),(419,1),(422,1),(490,1)}
       376:{4,6}:{(325,1),(326,1)}
       377:{3,4,5,7}:{(326,1),(329,1),(406,1),(420,1),(421,1),(433,1),(480,1),(490,1),(501,1)}
       378:{2,4,6,7}:{(327,1),(328,1),(331,1),(407,1),(419,1),(422,1),(426,1)}
       379:{3,6}:{(328,1),(329,1)}
       380:{2,3,5,7}:{(329,1),(330,1),(333,1),(409,1),(421,1),(423,1),(424,1)}
       381:{1,3,4,7}:{(330,1),(334,1),(410,1),(424,1),(425,1),(429,1),(499,1),(524,1),(526,1),(535,1),(547,1)}
       382:{1,3,6,7}:{(331,1),(332,1),(336,1),(411,1),(422,1),(426,1)}
       383:{2,6}:{(332,1),(333,1),(427,1)}
       384:{1,5,7}:{(333,1),(334,1),(413,1),(427,1)}
       385:{1,2,4,7}:{(334,1),(335,1),(339,1),(414,1),(425,1),(428,1),(429,1),(499,1)}
       386:{1,3,6}:{(337,1),(338,1),(340,1),(427,1),(430,1),(432,1)}
       387:{2,5,7}:{(338,1),(339,1),(415,1),(430,1)}
       388:{2,3,7}:{(339,1),(342,1),(416,1),(429,1)}
       389:{2,4,6}:{(340,1),(341,1),(343,1),(430,1),(432,1),(434,1)}
       390:{3,5,7}:{(341,1),(342,1),(417,1),(432,1),(433,1),(501,1)}
       391:{3,5,6}:{(343,1),(344,1),(432,1),(434,1),(501,1)}
       392:{4,7}:{(344,1),(434,1)}
       393:{2,5,7}:{(345,1),(346,1),(349,1),(435,1),(538,1)}
       394:{2,4,6}:{(346,1),(347,1),(350,1),(435,1),(436,1)}
       395:{3,5}:{(347,1),(348,1),(436,1)}
       396:{2,3,4}:{(348,1),(352,1),(437,1),(438,1),(443,1),(541,1)}
       397:{1,4,7}:{(349,1),(350,1),(354,1),(435,1),(444,1)}
       398:{1,3,4,6}:{(350,1),(351,1),(355,1),(366,1),(436,1),(439,1),(440,1),(445,1),(503,1),(508,1),(540,1)}
       399:{2,4,5}:{(351,1),(352,1),(367,1),(437,1),(440,1),(441,1),(504,1)}
       400:{1,4}:{(352,1),(353,1)}
       401:{1,2,5}:{(353,1),(357,1),(369,1),(442,1),(504,1)}
       402:{3,4,7}:{(354,1),(355,1),(370,1),(551,1)}
       403:{2,4}:{(356,1),(357,1),(443,1)}
       404:{3,5,7}:{(358,1),(359,1),(361,1),(444,1)}
       405:{4,6}:{(359,1),(360,1),(444,1)}
       406:{3,4,5}:{(360,1),(363,1),(445,1),(446,1),(456,1)}
       407:{2,4,5,7}:{(361,1),(362,1),(365,1),(378,1),(435,1),(444,1),(447,1),(451,1),(457,1),(507,1),(514,1)}
       408:{3,5,6}:{(362,1),(363,1),(379,1),(436,1),(445,1),(447,1)}
       409:{2,3,5}:{(363,1),(364,1),(367,1),(446,1),(449,1),(523,1)}
       410:{1,3,4,6}:{(364,1),(368,1),(381,1),(438,1),(449,1),(450,1),(454,1),(463,1),(503,1),(508,1),(513,1),(522,1),(540,1),(541,1),(545,1)}
       411:{1,3,5,7}:{(365,1),(366,1),(370,1),(382,1),(439,1),(447,1),(451,1)}
       412:{2,5,6}:{(366,1),(367,1),(383,1),(440,1),(451,1),(452,1)}
       413:{1,5}:{(367,1),(368,1)}
       414:{1,2,4,6}:{(368,1),(369,1),(372,1),(385,1),(442,1),(450,1),(453,1),(454,1),(467,1),(513,1),(522,1)}
       415:{2,5}:{(371,1),(372,1)}
       416:{2,3,6}:{(372,1),(374,1),(388,1),(443,1),(454,1),(455,1)}
       417:{3,5}:{(373,1),(374,1),(456,1)}
       418:{4,5,6}:{(376,1),(457,1),(458,1),(472,1)}
       419:{4,6,7}:{(375,1),(376,1),(444,1),(457,1)}
       420:{3,4,6}:{(376,1),(377,1),(379,1),(458,1),(460,1)}
       421:{2,4,5,7}:{(377,1),(380,1),(446,1),(460,1),(461,1),(470,1),(507,1),(514,1),(523,1)}
       422:{3,6,7}:{(378,1),(379,1),(447,1)}
       423:{2,3,6}:{(379,1),(380,1),(383,1),(460,1),(463,1)}
       424:{1,3,5,7}:{(380,1),(381,1),(384,1),(449,1),(461,1),(463,1),(464,1),(518,1)}
       425:{2,4,7}:{(381,1),(450,1),(464,1),(465,1),(538,1)}
       426:{2,6,7}:{(382,1),(383,1),(451,1),(466,1)}
       427:{1,6}:{(383,1),(384,1)}
       428:{1,2,5,7}:{(384,1),(385,1),(387,1),(453,1),(464,1),(467,1),(468,1)}
       429:{1,3,7}:{(385,1),(388,1),(454,1),(465,1)}
       430:{2,6}:{(386,1),(387,1)}
       431:{2,3,5,7}:{(387,1),(388,1),(390,1),(455,1),(468,1),(469,1),(470,1),(523,1)}
       432:{3,6}:{(389,1),(390,1)}
       433:{3,4,7}:{(390,1),(392,1),(456,1),(470,1),(471,1)}
       434:{4,6}:{(391,1),(392,1),(472,1)}
       435:{2,4,7}:{(393,1),(394,1),(397,1),(473,1)}
       436:{3,6}:{(394,1),(395,1),(473,1)}
       437:{2,3,5}:{(395,1),(396,1),(399,1),(474,1),(475,1),(528,1)}
       438:{1,3,4}:{(396,1),(400,1),(475,1),(476,1),(479,1)}
       439:{1,3,4,7}:{(397,1),(398,1),(402,1),(411,1),(473,1),(477,1),(480,1),(524,1),(526,1),(547,1)}
       440:{2,4,6}:{(398,1),(399,1),(412,1),(474,1),(477,1),(478,1),(525,1)}
       441:{1,4,5}:{(399,1),(400,1),(413,1),(475,1),(478,1)}
       442:{1,2,4}:{(400,1),(401,1),(403,1),(476,1),(479,1)}
       443:{2,3}:{(403,1),(479,1)}
       444:{4,7}:{(404,1),(405,1)}
       445:{3,4,6}:{(405,1),(406,1),(408,1),(480,1),(481,1)}
       446:{2,4,5}:{(406,1),(409,1),(481,1),(482,1),(489,1)}
       447:{3,5,7}:{(407,1),(408,1),(422,1),(473,1),(480,1)}
       448:{2,3,5,6}:{(408,1),(409,1),(412,1),(423,1),(474,1),(481,1),(483,1),(484,1),(491,1)}
       449:{1,3,5}:{(409,1),(410,1),(413,1),(482,1),(485,1),(528,1),(537,1),(550,1)}
       450:{2,4,6}:{(410,1),(425,1),(476,1),(485,1),(486,1),(496,1),(525,1),(530,1)}
       451:{2,5,7}:{(411,1),(412,1),(426,1),(477,1),(487,1)}
       452:{1,5,6}:{(412,1),(413,1),(427,1),(478,1),(487,1)}
       453:{1,2,5}:{(413,1),(414,1),(415,1),(485,1),(488,1),(537,1)}
       454:{1,3,6}:{(414,1),(416,1),(429,1),(479,1),(486,1),(488,1)}
       455:{2,3,5}:{(415,1),(416,1),(417,1),(488,1),(489,1)}
       456:{3,4}:{(417,1),(489,1)}
       457:{4,5,7}:{(418,1),(419,1),(490,1)}
       458:{3,5,6}:{(418,1),(420,1),(490,1),(491,1),(501,1)}
       459:{3,4,6,7}:{(419,1),(420,1),(422,1),(480,1),(490,1),(492,1)}
       460:{2,4,6}:{(420,1),(421,1),(423,1),(491,1),(493,1)}
       461:{1,4,5,7}:{(421,1),(424,1),(482,1),(493,1),(494,1),(499,1),(526,1),(531,1),(537,1)}
       462:{2,3,6,7}:{(422,1),(423,1),(426,1),(483,1),(492,1),(495,1)}
       463:{1,3,6}:{(423,1),(424,1),(427,1),(493,1),(496,1),(534,1)}
       464:{2,5,7}:{(424,1),(425,1),(485,1),(496,1)}
       465:{2,3,7}:{(425,1),(429,1),(486,1),(547,1)}
       466:{1,6,7}:{(426,1),(427,1),(487,1)}
       467:{1,2,6}:{(427,1),(428,1),(430,1),(496,1),(498,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(431,1),(488,1),(497,1),(498,1),(499,1),(537,1)}
       469:{2,3,6}:{(430,1),(431,1),(432,1),(498,1),(500,1)}
       470:{2,4,7}:{(431,1),(433,1),(489,1),(499,1),(500,1)}
       471:{3,4,6}:{(432,1),(433,1),(434,1),(500,1),(501,1)}
       472:{4,5}:{(434,1),(501,1)}
       473:{3,7}:{(435,1),(436,1)}
       474:{2,3,6}:{(436,1),(437,1),(440,1),(502,1),(503,1),(540,1)}
       475:{1,3,5}:{(437,1),(438,1),(441,1),(503,1),(504,1)}
       476:{2,4}:{(438,1),(504,1),(505,1)}
       477:{2,4,7}:{(439,1),(440,1),(451,1),(502,1),(506,1),(538,1)}
       478:{1,4,6}:{(440,1),(441,1),(452,1),(503,1),(506,1)}
       479:{1,3}:{(442,1),(443,1),(505,1)}
       480:{3,4,7}:{(444,1),(445,1),(447,1),(507,1)}
       481:{2,4,6}:{(445,1),(446,1),(448,1),(507,1),(508,1)}
       482:{1,4,5}:{(446,1),(449,1),(508,1),(509,1),(513,1),(552,1)}
       483:{2,3,5,7}:{(447,1),(448,1),(451,1),(462,1),(502,1),(507,1),(510,1),(514,1)}
       484:{1,3,5,6}:{(448,1),(449,1),(452,1),(463,1),(503,1),(508,1),(510,1),(511,1),(515,1),(540,1),(543,1)}
       485:{2,5}:{(449,1),(450,1)}
       486:{2,3,6}:{(450,1),(454,1),(465,1),(505,1),(512,1),(540,1)}
       487:{1,5,7}:{(451,1),(452,1),(466,1),(506,1)}
       488:{1,3,5}:{(453,1),(454,1),(455,1),(512,1),(513,1)}
       489:{2,4}:{(455,1),(456,1),(513,1)}
       490:{3,5,7}:{(457,1),(458,1),(459,1),(514,1)}
       491:{2,5,6}:{(458,1),(460,1),(514,1),(515,1),(523,1)}
       492:{2,4,6,7}:{(459,1),(460,1),(462,1),(507,1),(514,1),(516,1)}
       493:{1,4,6}:{(460,1),(461,1),(463,1),(515,1),(517,1)}
       494:{2,4,5,7}:{(461,1),(464,1),(509,1),(517,1),(518,1),(521,1),(539,1),(542,1),(546,1),(551,1),(552,1)}
       495:{1,3,6,7}:{(462,1),(463,1),(466,1),(510,1),(516,1),(519,1),(544,1)}
       496:{2,6}:{(463,1),(464,1)}
       497:{2,3,5,7}:{(464,1),(465,1),(468,1),(512,1),(518,1),(520,1),(521,1),(546,1)}
       498:{1,3,6}:{(467,1),(468,1),(469,1),(520,1),(522,1)}
       499:{1,4,7}:{(468,1),(470,1),(513,1),(521,1),(522,1)}
       500:{2,4,6}:{(469,1),(470,1),(471,1),(522,1),(523,1)}
       501:{3,5}:{(471,1),(472,1),(523,1)}
       502:{2,3,7}:{(473,1),(474,1),(477,1),(524,1),(547,1)}
       503:{1,3,6}:{(474,1),(475,1),(478,1),(524,1),(525,1)}
       504:{2,5}:{(475,1),(476,1),(525,1)}
       505:{2,3}:{(476,1),(479,1)}
       506:{1,4,7}:{(477,1),(478,1),(487,1),(524,1)}
       507:{2,4,7}:{(480,1),(481,1),(483,1),(526,1)}
       508:{1,4,6}:{(481,1),(482,1),(484,1),(526,1),(527,1),(549,1)}
       509:{2,4,5}:{(482,1),(485,1),(527,1),(528,1),(530,1)}
       510:{1,3,5,7}:{(483,1),(484,1),(487,1),(495,1),(524,1),(526,1),(529,1),(531,1),(547,1),(548,1)}
       511:{2,5,6}:{(484,1),(485,1),(496,1),(525,1),(527,1),(529,1)}
       512:{2,3,5}:{(485,1),(486,1),(488,1),(528,1),(530,1)}
       513:{1,4}:{(488,1),(489,1),(530,1)}
       514:{2,5,7}:{(490,1),(491,1),(492,1),(531,1)}
       515:{1,5,6}:{(491,1),(493,1),(531,1),(532,1),(537,1)}
       516:{1,4,6,7}:{(492,1),(493,1),(495,1),(526,1),(531,1),(533,1)}
       517:{2,4,6}:{(493,1),(494,1),(496,1),(532,1),(534,1),(549,1)}
       518:{3,5,7}:{(494,1),(528,1),(534,1),(535,1),(547,1),(550,1)}
       519:{2,6,7}:{(495,1),(496,1),(529,1)}
       520:{2,3,6}:{(496,1),(497,1),(498,1),(534,1),(536,1)}
       521:{2,4,7}:{(497,1),(499,1),(530,1),(535,1),(536,1)}
       522:{1,4,6}:{(498,1),(499,1),(500,1),(536,1),(537,1)}
       523:{2,5}:{(500,1),(501,1),(537,1)}
       524:{1,3,7}:{(502,1),(503,1),(506,1),(538,1)}
       525:{2,6}:{(503,1),(504,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(510,1),(539,1),(551,1)}
       527:{2,4,6}:{(508,1),(509,1),(511,1),(539,1),(540,1)}
       528:{3,5}:{(509,1),(540,1),(541,1)}
       529:{2,5,7}:{(510,1),(511,1),(519,1),(538,1),(539,1)}
       530:{2,4}:{(512,1),(513,1),(541,1)}
       531:{1,5,7}:{(514,1),(515,1),(516,1),(542,1)}
       532:{2,5,6}:{(515,1),(517,1),(542,1),(543,1),(546,1)}
       533:{2,4,6,7}:{(516,1),(517,1),(519,1),(539,1),(542,1),(544,1),(551,1)}
       534:{3,6}:{(517,1),(518,1)}
       535:{3,4,7}:{(518,1),(521,1),(541,1),(545,1),(551,1)}
       536:{2,4,6}:{(520,1),(521,1),(522,1),(545,1),(546,1)}
       537:{1,5}:{(522,1),(523,1),(546,1)}
       538:{2,7}:{(524,1),(525,1)}
       539:{2,4,7}:{(526,1),(527,1),(529,1),(547,1)}
       540:{3,6}:{(527,1),(528,1),(547,1)}
       541:{3,4}:{(528,1),(530,1)}
       542:{2,5,7}:{(531,1),(532,1),(533,1),(548,1)}
       543:{3,5,6}:{(532,1),(534,1),(548,1),(549,1),(550,1)}
       544:{3,6,7}:{(533,1),(534,1),(547,1),(548,1)}
       545:{3,4,6}:{(534,1),(535,1),(536,1),(549,1),(550,1)}
       546:{2,5}:{(536,1),(537,1),(550,1)}
       547:{3,7}:{(539,1),(540,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(543,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 645 :   0:{4,5,6,7}:{(1,1),(118,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(106,1)}
         2:{3,4,6,7}:{(1,1),(4,1),(5,1)}
         3:{2,5,6,7}:{(1,1),(5,1),(6,1),(91,1)}
         4:{3,4,5,7}:{(2,1),(7,1),(8,1),(103,1),(106,1)}
         5:{2,4,6,7}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
         6:{1,5,6,7}:{(3,1),(10,1),(11,1),(75,1)}
         7:{3,4,5,6}:{(4,1),(12,1),(112,1),(119,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(87,1),(91,1)}
         9:{2,3,6,7}:{(5,1),(13,1),(15,1)}
        10:{1,4,6,7}:{(5,1),(6,1),(14,1),(15,1),(16,1)}
        11:{2,5,6,7}:{(6,1),(16,1),(17,1),(60,1)}
        12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(98,1),(107,1)}
        13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(21,1)}
        14:{1,4,5,7}:{(8,1),(10,1),(19,1),(21,1),(22,1),(71,1),(75,1)}
        15:{1,3,6,7}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(23,1),(24,1),(25,1)}
        17:{3,5,6,7}:{(11,1),(24,1),(25,1),(46,1)}
        18:{2,3,5,6}:{(12,1),(13,1),(26,1),(27,1)}
        19:{1,4,5,6}:{(12,1),(14,1),(27,1),(28,1),(82,1),(92,1)}
        20:{2,3,4,7}:{(13,1),(26,1),(29,1),(84,1),(87,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(15,1),(27,1),(29,1),(30,1),(31,1)}
        22:{2,4,5,7}:{(14,1),(16,1),(28,1),(30,1),(31,1),(35,1),(56,1),(60,1)}
        23:{2,6,7}:{(15,1),(30,1)}
        24:{3,6,7}:{(16,1),(31,1)}
        25:{4,6,7}:{(17,1),(35,1)}
        26:{2,3,4,6}:{(18,1),(20,1),(36,1),(37,1),(95,1),(98,1)}
        27:{1,3,5,6}:{(18,1),(19,1),(21,1),(37,1),(38,1),(39,1)}
        28:{2,4,5,6}:{(19,1),(22,1),(38,1),(39,1),(47,1),(66,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(21,1),(37,1),(40,1),(43,1),(68,1),(71,1)}
        30:{2,5,7}:{(21,1),(23,1),(38,1),(40,1)}
        31:{3,5,7}:{(22,1),(24,1),(39,1),(43,1)}
        32:{1,2,6,7}:{(23,1),(41,1),(44,1),(123,1)}
        33:{2,3,6,7}:{(23,1),(24,1),(42,1),(44,1),(45,1),(102,1)}
        34:{3,4,6,7}:{(24,1),(25,1),(43,1),(45,1),(46,1),(73,1)}
        35:{4,5,7}:{(25,1),(46,1),(47,1)}
        36:{2,3,4,5}:{(26,1),(48,1),(108,1),(113,1)}
        37:{1,3,4,6}:{(26,1),(27,1),(29,1),(48,1),(49,1),(52,1),(79,1),(82,1)}
        38:{2,5,6}:{(27,1),(30,1),(49,1)}
        39:{3,5,6}:{(28,1),(31,1),(52,1)}
        40:{2,4,7}:{(29,1),(30,1),(49,1),(54,1)}
        41:{1,2,5,7}:{(30,1),(32,1),(50,1),(53,1),(55,1),(114,1)}
        42:{2,3,5,7}:{(30,1),(31,1),(33,1),(51,1),(54,1),(55,1),(56,1),(60,1)}
        43:{3,4,7}:{(31,1),(52,1),(56,1)}
        44:{1,3,6,7}:{(32,1),(33,1),(55,1),(58,1),(59,1),(115,1)}
        45:{2,4,6,7}:{(33,1),(34,1),(56,1),(59,1),(60,1),(89,1)}
        46:{3,5,7}:{(34,1),(35,1),(60,1),(61,1)}
        47:{4,5,6}:{(35,1),(61,1)}
        48:{1,3,4,5}:{(36,1),(37,1),(62,1),(67,1),(93,1),(99,1)}
        49:{2,4,6}:{(37,1),(38,1),(40,1),(62,1),(64,1)}
        50:{1,2,5,6}:{(38,1),(41,1),(63,1),(65,1),(121,1),(123,1)}
        51:{2,3,5,6}:{(38,1),(39,1),(42,1),(64,1),(65,1),(66,1),(76,1),(97,1),(102,1)}
        52:{3,4,6}:{(39,1),(43,1),(66,1),(67,1)}
        53:{1,2,4,7}:{(40,1),(41,1),(63,1),(68,1),(71,1),(100,1)}
        54:{2,3,7}:{(40,1),(64,1),(68,1)}
        55:{1,3,5,7}:{(41,1),(42,1),(44,1),(65,1),(68,1),(70,1),(71,1),(75,1)}
        56:{2,4,7}:{(42,1),(43,1),(66,1),(71,1)}
        57:{3,4,5,7}:{(43,1),(46,1),(67,1),(72,1),(73,1)}
        58:{2,3,6,7}:{(44,1),(70,1),(74,1),(123,1),(124,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(71,1),(74,1),(75,1),(105,1)}
        60:{2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        61:{3,5,6}:{(46,1),(47,1),(73,1),(76,1)}
        62:{2,4,5}:{(48,1),(49,1),(78,1)}
        63:{1,2,4,6}:{(49,1),(50,1),(53,1),(77,1),(79,1),(82,1),(110,1)}
        64:{2,3,6}:{(49,1),(54,1),(78,1),(79,1)}
        65:{1,3,5,6}:{(50,1),(51,1),(55,1),(79,1),(81,1),(82,1),(92,1),(111,1),(115,1)}
        66:{2,4,6}:{(51,1),(52,1),(56,1),(82,1),(83,1)}
        67:{3,4,5}:{(52,1),(83,1)}
        68:{1,3,7}:{(53,1),(54,1),(79,1),(84,1)}
        69:{2,3,4,7}:{(54,1),(56,1),(80,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(55,1),(58,1),(81,1),(84,1),(87,1),(91,1),(114,1),(116,1)}
        71:{1,4,7}:{(55,1),(56,1),(82,1),(87,1)}
        72:{2,4,5,7}:{(56,1),(57,1),(60,1),(83,1),(86,1),(88,1),(89,1)}
        73:{3,4,6}:{(57,1),(61,1),(89,1)}
        74:{2,4,6,7}:{(58,1),(59,1),(87,1),(90,1),(91,1),(117,1)}
        75:{1,5,7}:{(59,1),(60,1),(91,1),(92,1)}
        76:{2,5,6}:{(60,1),(61,1),(89,1),(92,1)}
        77:{1,2,4,5}:{(62,1),(63,1),(93,1),(99,1),(120,1),(121,1)}
        78:{2,3,5}:{(62,1),(64,1),(93,1),(94,1)}
        79:{1,3,6}:{(63,1),(64,1),(68,1),(93,1),(95,1)}
        80:{2,3,4,6}:{(64,1),(66,1),(69,1),(94,1),(96,1),(97,1),(102,1)}
        81:{2,3,5,6}:{(65,1),(70,1),(95,1),(98,1),(107,1),(121,1),(122,1),(123,1),(124,1)}
        82:{1,4,6}:{(65,1),(66,1),(71,1),(98,1),(99,1)}
        83:{2,4,5}:{(66,1),(67,1),(97,1),(99,1)}
        84:{2,3,7}:{(68,1),(95,1),(100,1)}
        85:{1,3,4,7}:{(68,1),(69,1),(71,1),(96,1),(100,1),(101,1),(103,1)}
        86:{2,3,5,7}:{(69,1),(72,1),(97,1),(101,1),(102,1)}
        87:{2,4,7}:{(70,1),(71,1),(98,1),(103,1)}
        88:{1,4,5,7}:{(71,1),(72,1),(75,1),(99,1),(101,1),(104,1),(105,1)}
        89:{2,4,6}:{(72,1),(73,1),(76,1),(102,1),(105,1)}
        90:{3,4,6,7}:{(74,1),(103,1),(106,1),(124,1),(125,1)}
        91:{2,5,7}:{(74,1),(75,1),(106,1),(107,1)}
        92:{1,5,6}:{(75,1),(76,1),(105,1),(107,1)}
        93:{1,3,5}:{(77,1),(78,1),(79,1),(108,1),(109,1)}
        94:{2,3,4}:{(78,1),(109,1)}
        95:{2,3,6}:{(79,1),(84,1),(108,1),(110,1)}
        96:{1,3,4,6}:{(79,1),(80,1),(82,1),(85,1),(109,1),(110,1),(111,1),(112,1),(115,1)}
        97:{2,3,5}:{(80,1),(83,1),(111,1)}
        98:{2,4,6}:{(81,1),(82,1),(87,1),(112,1),(113,1)}
        99:{1,4,5}:{(82,1),(83,1),(111,1),(113,1)}
       100:{2,4,7}:{(84,1),(85,1),(110,1),(114,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(88,1),(111,1),(114,1),(115,1),(116,1)}
       102:{2,3,6}:{(86,1),(89,1),(115,1)}
       103:{3,4,7}:{(87,1),(112,1),(116,1)}
       104:{2,4,5,7}:{(87,1),(88,1),(91,1),(113,1),(114,1),(116,1),(117,1),(118,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(115,1),(117,1)}
       106:{3,5,7}:{(90,1),(91,1),(118,1),(119,1)}
       107:{2,5,6}:{(91,1),(92,1),(117,1),(119,1)}
       108:{2,3,5}:{(93,1),(95,1),(120,1),(121,1)}
       109:{1,3,4}:{(93,1),(94,1),(120,1)}
       110:{2,4,6}:{(95,1),(96,1),(100,1),(120,1),(121,1),(123,1)}
       111:{1,3,5}:{(96,1),(97,1),(99,1),(121,1),(122,1)}
       112:{3,4,6}:{(98,1),(103,1),(122,1),(124,1)}
       113:{2,4,5}:{(98,1),(99,1),(121,1),(122,1)}
       114:{2,5,7}:{(100,1),(101,1),(121,1),(123,1)}
       115:{1,3,6}:{(101,1),(102,1),(105,1),(123,1),(124,1)}
       116:{3,5,7}:{(103,1),(104,1),(122,1),(124,1)}
       117:{2,4,6}:{(104,1),(105,1),(107,1),(123,1),(124,1),(125,1)}
       118:{4,5,7}:{(106,1),(125,1)}
       119:{3,5,6}:{(106,1),(107,1),(124,1),(125,1)}
       120:{2,4}:{(108,1),(109,1)}
       121:{2,5}:{(110,1),(111,1)}
       122:{3,5}:{(112,1),(113,1)}
       123:{2,6}:{(114,1),(115,1)}
       124:{3,6}:{(116,1),(117,1)}
       125:{4,6}:{(118,1),(119,1)}

 646 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(13,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(25,1),(29,1),(54,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(54,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(13,1),(15,1),(31,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(12,1),(16,1),(17,1),(69,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(39,1),(114,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(47,1),(54,1),(58,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(19,1),(21,1),(22,1),(28,1)}
        13:{1,3,6}:{(6,1),(7,1),(22,1)}
        14:{1,2,4,6,7}:{(7,1),(23,1),(25,1),(45,1),(54,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(24,1),(25,1),(46,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(21,1),(26,1),(27,1),(82,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(22,1),(27,1),(28,1),(53,1),(105,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(43,1),(61,1),(69,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(31,1),(33,1),(39,1),(70,1)}
        21:{1,3,5,7}:{(12,1),(16,1),(30,1),(34,1),(35,1),(42,1)}
        22:{2,3,6}:{(12,1),(13,1),(31,1),(35,1)}
        23:{1,3,6,7}:{(13,1),(14,1),(36,1),(38,1),(123,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(18,1),(37,1),(38,1),(39,1),(112,1),(114,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(38,1),(61,1),(124,1)}
        26:{1,2,4,7}:{(16,1),(34,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(35,1),(41,1),(42,1),(68,1),(94,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(44,1),(57,1),(74,1),(82,1)}
        31:{2,4,6}:{(19,1),(20,1),(22,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(45,1),(47,1),(54,1),(79,1),(84,1),(103,1)}
        33:{1,3,5,6}:{(20,1),(46,1),(47,1),(48,1),(78,1)}
        34:{1,2,5,7}:{(21,1),(26,1),(49,1),(56,1)}
        35:{1,3,6}:{(21,1),(22,1),(44,1),(49,1)}
        36:{2,3,6,7}:{(22,1),(23,1),(45,1),(50,1),(52,1),(103,1),(118,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(28,1),(46,1),(51,1),(52,1),(53,1),(78,1),(102,1),(105,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(52,1),(54,1),(119,1),(120,1)}
        39:{1,4,6}:{(24,1),(29,1),(53,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(49,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
        44:{1,4,6}:{(30,1),(31,1),(35,1),(60,1)}
        45:{2,4,6,7}:{(31,1),(32,1),(36,1),(59,1),(61,1),(69,1)}
        46:{2,5,6}:{(31,1),(33,1),(60,1),(61,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(61,1),(64,1),(92,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,2,6}:{(34,1),(35,1)}
        50:{1,3,6,7}:{(35,1),(36,1),(59,1),(65,1),(67,1)}
        51:{1,3,5,6}:{(35,1),(37,1),(42,1),(60,1),(66,1),(67,1),(68,1),(94,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(38,1),(61,1),(67,1),(69,1),(92,1),(111,1),(113,1)}
        53:{2,4,6}:{(37,1),(39,1),(43,1),(68,1),(69,1),(70,1)}
        54:{1,4,7}:{(38,1),(39,1),(69,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(94,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(68,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(50,1),(74,1),(82,1)}
        60:{1,5,6}:{(44,1),(46,1),(74,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(74,1)}
        62:{2,4,5,6}:{(46,1),(48,1),(53,1),(75,1),(77,1),(78,1),(102,1)}
        63:{1,3,5,6,7}:{(47,1),(76,1),(79,1),(103,1)}
        64:{1,4,5,7}:{(47,1),(48,1),(54,1),(77,1),(79,1),(119,1)}
        65:{1,2,6,7}:{(49,1),(50,1),(80,1),(118,1)}
        66:{1,2,5,6}:{(49,1),(51,1),(56,1),(80,1),(81,1),(102,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(74,1),(80,1),(82,1),(104,1)}
        68:{1,4,6}:{(51,1),(53,1),(57,1),(82,1)}
        69:{2,4,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        70:{3,4,6}:{(53,1),(58,1),(78,1),(84,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(81,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(83,1),(86,1),(87,1)}
        74:{1,5,7}:{(59,1),(60,1),(61,1)}
        75:{1,4,5,6}:{(60,1),(62,1),(68,1),(89,1),(90,1)}
        76:{2,5,6,7}:{(61,1),(63,1),(88,1),(91,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(69,1),(89,1),(91,1),(92,1),(111,1)}
        78:{3,5,6}:{(62,1),(70,1),(92,1)}
        79:{1,4,6,7}:{(63,1),(64,1),(91,1),(123,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(67,1),(93,1),(111,1)}
        81:{1,2,4,6}:{(66,1),(68,1),(72,1),(93,1),(94,1),(96,1)}
        82:{1,4,7}:{(67,1),(68,1),(69,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(73,1),(90,1),(94,1),(95,1),(96,1)}
        84:{3,4,7}:{(69,1),(70,1),(92,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(94,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{1,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(100,1),(101,1)}
        90:{1,3,5,6}:{(75,1),(78,1),(83,1),(101,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(79,1),(100,1),(103,1),(118,1)}
        92:{3,5,7}:{(77,1),(78,1),(84,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(82,1),(104,1),(106,1)}
        94:{1,3,6}:{(81,1),(86,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(82,1),(83,1),(84,1),(101,1),(104,1),(106,1)}
        96:{2,4,6}:{(83,1),(87,1),(102,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(105,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(91,1),(110,1)}
       101:{1,3,5,7}:{(89,1),(90,1),(92,1),(95,1),(110,1),(111,1)}
       102:{2,5,6}:{(90,1),(96,1),(111,1),(112,1)}
       103:{3,6,7}:{(91,1),(92,1)}
       104:{1,3,7}:{(93,1),(94,1),(113,1)}
       105:{2,3,6}:{(94,1),(96,1),(98,1),(113,1),(114,1)}
       106:{2,4,7}:{(95,1),(96,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(114,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(103,1),(118,1)}
       111:{2,5,7}:{(101,1),(102,1),(106,1),(118,1),(119,1)}
       112:{1,5,6}:{(102,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,3,6}:{(105,1),(107,1),(109,1),(120,1),(121,1)}
       115:{1,4,7}:{(106,1),(107,1),(119,1),(120,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(115,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(114,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

 647 :   0:{1,2,4,5}:{(1,1),(2,1),(11,1),(19,1),(47,1),(49,1),(58,1),(107,1),(205,1),(209,1),(308,1)}
         1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(152,1),(263,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(25,1),(32,1),(38,1),(92,1),(187,1)}
         3:{1,3,4,5}:{(4,1),(9,1),(10,1),(26,1),(35,1),(97,1),(157,1),(159,1),(194,1),(263,1)}
         4:{1,3,4}:{(1,1),(11,1),(308,1),(312,1)}
         5:{2,3,5}:{(1,1),(11,1),(13,1),(14,1),(47,1),(58,1),(108,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(16,1),(240,1)}
         7:{1,2,5,6}:{(2,1),(15,1),(17,1),(47,1),(64,1),(121,1),(135,1),(205,1),(311,1),(327,1)}
         8:{1,2,4,7}:{(2,1),(16,1),(17,1),(48,1),(56,1),(65,1),(136,1),(241,1)}
         9:{2,4,5}:{(3,1),(11,1),(18,1),(19,1),(20,1),(47,1),(58,1),(133,1),(236,1)}
        10:{1,3,4,6}:{(3,1),(20,1),(21,1),(22,1),(59,1),(137,1),(139,1),(240,1)}
        11:{2,4}:{(4,1),(5,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(25,1),(26,1),(27,1),(32,1),(81,1),(86,1)}
        13:{1,3,5}:{(5,1),(24,1),(28,1),(29,1),(74,1),(76,1)}
        14:{2,3,6}:{(5,1),(6,1),(25,1),(29,1),(31,1),(92,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(26,1),(30,1),(32,1),(33,1),(81,1),(171,1),(257,1),(274,1),(279,1),(352,1),(364,1),(405,1)}
        16:{1,3,7}:{(6,1),(8,1),(31,1),(296,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(33,1),(34,1),(79,1),(102,1),(188,1),(365,1)}
        18:{2,3,5}:{(9,1),(23,1),(35,1),(36,1),(263,1)}
        19:{1,4,5}:{(9,1),(24,1),(35,1),(38,1),(76,1),(180,1),(283,1)}
        20:{2,4,6}:{(9,1),(10,1),(36,1),(38,1),(39,1),(40,1),(92,1)}
        21:{1,3,5,6}:{(10,1),(26,1),(39,1),(41,1),(42,1),(81,1),(103,1),(194,1),(303,1)}
        22:{1,3,4,7}:{(10,1),(40,1),(42,1),(94,1),(190,1),(192,1),(296,1)}
        23:{2,3,4}:{(11,1),(18,1),(43,1),(108,1),(133,1),(312,1)}
        24:{1,4}:{(11,1),(13,1)}
        25:{2,4,6}:{(11,1),(12,1),(14,1),(46,1),(47,1),(48,1),(121,1)}
        26:{1,3,5}:{(12,1),(47,1),(49,1),(119,1)}
        27:{1,3,4,7}:{(12,1),(16,1),(48,1),(50,1),(56,1),(128,1)}
        28:{1,2,5}:{(13,1),(45,1),(51,1),(58,1)}
        29:{1,3,6}:{(13,1),(14,1),(46,1),(51,1),(53,1)}
        30:{2,3,5,6}:{(14,1),(15,1),(47,1),(52,1),(54,1),(55,1),(119,1),(121,1),(135,1),(207,1),(220,1),(223,1),(224,1),(225,1),(240,1),(314,1),(325,1),(387,1),(389,1)}
        31:{2,3,7}:{(14,1),(16,1),(48,1),(53,1),(136,1)}
        32:{1,4,6}:{(15,1),(49,1),(54,1),(56,1),(308,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(17,1),(55,1),(56,1),(57,1),(130,1),(324,1),(328,1)}
        34:{1,2,6,7}:{(17,1),(57,1),(121,1),(148,1),(242,1),(311,1)}
        35:{1,3,5}:{(18,1),(19,1),(43,1),(58,1),(59,1)}
        36:{2,3,6}:{(18,1),(20,1),(59,1),(61,1),(240,1)}
        37:{1,2,4,5}:{(19,1),(45,1),(58,1),(62,1),(63,1),(115,1),(133,1),(209,1),(216,1),(236,1),(248,1)}
        38:{1,4,6}:{(19,1),(20,1),(59,1),(64,1),(65,1)}
        39:{2,5,6}:{(20,1),(21,1),(47,1),(64,1),(67,1),(121,1),(236,1),(338,1)}
        40:{2,4,7}:{(20,1),(22,1),(61,1),(65,1),(67,1),(136,1)}
        41:{1,4,5,6}:{(21,1),(49,1),(66,1),(68,1),(122,1),(137,1),(248,1),(252,1),(319,1),(347,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(149,1)}
        43:{1,3,4}:{(23,1),(24,1),(35,1),(70,1),(74,1),(152,1),(180,1)}
        44:{2,3,4,6}:{(23,1),(25,1),(36,1),(71,1),(72,1),(73,1),(86,1),(95,1),(154,1),(161,1),(175,1),(184,1),(261,1),(292,1),(295,1),(354,1),(356,1),(369,1)}
        45:{1,2,4}:{(24,1),(28,1),(70,1),(74,1)}
        46:{1,4,6}:{(24,1),(25,1),(29,1),(76,1),(77,1),(168,1)}
        47:{2,5}:{(25,1),(26,1),(76,1)}
        48:{2,4,7}:{(25,1),(27,1),(31,1),(77,1),(79,1)}
        49:{1,4,5}:{(26,1),(32,1),(78,1),(274,1),(405,1)}
        50:{1,3,5,7}:{(26,1),(27,1),(79,1),(80,1),(81,1),(169,1)}
        51:{1,2,6}:{(28,1),(29,1),(83,1),(92,1)}
        52:{1,3,5,6}:{(29,1),(30,1),(76,1),(82,1),(84,1),(85,1),(162,1),(166,1),(168,1),(172,1),(272,1),(276,1),(277,1),(362,1)}
        53:{1,3,7}:{(29,1),(31,1),(77,1),(83,1)}
        54:{2,4,6}:{(30,1),(32,1),(78,1),(84,1),(86,1),(87,1),(261,1),(409,1)}
        55:{2,3,5,7}:{(30,1),(31,1),(33,1),(79,1),(85,1),(87,1),(88,1),(169,1),(179,1),(188,1),(275,1),(280,1),(296,1),(380,1)}
        56:{1,4,7}:{(32,1),(33,1),(87,1)}
        57:{1,3,6,7}:{(33,1),(34,1),(81,1),(88,1),(89,1),(352,1),(364,1)}
        58:{2,5}:{(35,1),(70,1),(92,1)}
        59:{1,3,6}:{(35,1),(36,1),(38,1),(92,1),(94,1)}
        60:{2,3,5,6}:{(36,1),(39,1),(72,1),(93,1),(95,1),(96,1),(103,1),(161,1),(199,1),(269,1),(295,1)}
        61:{2,3,7}:{(36,1),(40,1),(94,1),(296,1)}
        62:{1,3,5}:{(37,1),(74,1),(91,1),(97,1),(98,1),(263,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(92,1),(98,1),(99,1),(100,1),(184,1),(187,1),(196,1)}
        64:{1,5,6}:{(38,1),(39,1),(76,1),(102,1),(168,1),(283,1),(368,1)}
        65:{1,4,7}:{(38,1),(40,1),(94,1),(102,1)}
        66:{2,4,5,6}:{(39,1),(41,1),(78,1),(95,1),(101,1),(103,1),(104,1),(170,1),(187,1),(199,1),(269,1),(290,1),(359,1),(360,1),(375,1),(409,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(102,1),(105,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(104,1),(106,1),(190,1),(300,1),(305,1)}
        69:{1,3,6,7}:{(42,1),(81,1),(105,1),(106,1),(202,1),(303,1)}
        70:{2,4}:{(43,1),(58,1),(108,1)}
        71:{1,3,4,6}:{(43,1),(44,1),(46,1),(59,1),(109,1),(110,1),(111,1),(114,1),(137,1),(204,1),(213,1),(216,1),(227,1),(231,1),(240,1),(308,1),(312,1),(322,1),(341,1),(383,1),(385,1),(386,1),(394,1)}
        72:{2,3,5}:{(44,1),(47,1),(110,1),(112,1),(119,1),(220,1),(236,1),(336,1),(387,1),(391,1)}
        73:{2,3,4,7}:{(44,1),(48,1),(61,1),(111,1),(113,1),(128,1),(140,1),(208,1),(228,1),(237,1),(313,1),(339,1),(342,1),(395,1)}
        74:{1,3}:{(45,1),(108,1)}
        75:{1,2,4,6}:{(45,1),(46,1),(51,1),(109,1),(114,1),(115,1),(116,1),(216,1),(219,1),(322,1),(394,1),(397,1),(419,1)}
        76:{1,5}:{(46,1),(47,1)}
        77:{1,4,7}:{(46,1),(48,1),(53,1),(118,1)}
        78:{2,4,5}:{(47,1),(49,1),(54,1),(117,1),(119,1),(220,1),(387,1),(421,1)}
        79:{2,5,7}:{(47,1),(48,1),(50,1),(118,1),(121,1)}
        80:{1,4,5,7}:{(49,1),(50,1),(56,1),(120,1),(122,1),(130,1),(324,1)}
        81:{1,3,6}:{(50,1),(121,1),(122,1),(223,1)}
        82:{1,2,5,6}:{(51,1),(52,1),(115,1),(123,1),(124,1),(135,1),(219,1),(220,1),(252,1),(325,1)}
        83:{1,2,7}:{(51,1),(53,1),(136,1)}
        84:{1,4,6}:{(52,1),(54,1),(117,1),(126,1),(216,1)}
        85:{1,3,5,7}:{(52,1),(53,1),(55,1),(118,1),(124,1),(126,1),(127,1),(226,1),(229,1)}
        86:{3,4,6}:{(54,1),(119,1),(128,1),(223,1),(240,1),(312,1)}
        87:{2,4,7}:{(54,1),(55,1),(56,1),(126,1),(128,1),(403,1)}
        88:{2,3,6,7}:{(55,1),(57,1),(121,1),(127,1),(129,1),(223,1),(242,1),(314,1),(325,1),(343,1)}
        89:{1,4,6,7}:{(56,1),(57,1),(122,1),(129,1),(130,1),(383,1)}
        90:{1,2,5}:{(58,1),(107,1),(131,1),(132,1)}
        91:{2,3,5}:{(58,1),(62,1),(108,1),(131,1),(133,1),(134,1),(236,1)}
        92:{2,6}:{(58,1),(59,1),(136,1)}
        93:{1,3,5,6}:{(59,1),(60,1),(64,1),(110,1),(135,1),(137,1),(138,1),(213,1),(240,1),(252,1),(319,1),(341,1),(389,1)}
        94:{1,3,7}:{(59,1),(61,1),(65,1),(136,1)}
        95:{2,4,6}:{(60,1),(112,1),(137,1),(139,1),(140,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(67,1),(138,1),(140,1),(141,1),(149,1),(247,1),(253,1),(342,1)}
        97:{1,3,4}:{(62,1),(133,1),(216,1),(312,1)}
        98:{1,3,6}:{(62,1),(63,1),(134,1),(144,1),(240,1)}
        99:{1,2,5,6}:{(63,1),(64,1),(115,1),(135,1),(143,1),(145,1),(219,1),(236,1),(338,1),(397,1)}
       100:{1,2,4,7}:{(63,1),(65,1),(136,1),(144,1),(145,1),(237,1),(241,1),(250,1)}
       101:{1,4,5,6}:{(64,1),(66,1),(117,1),(137,1),(146,1),(147,1),(222,1),(319,1),(329,1),(393,1)}
       102:{1,5,7}:{(64,1),(65,1),(67,1),(148,1)}
       103:{3,5,6}:{(66,1),(119,1),(139,1),(149,1),(223,1),(240,1),(336,1),(399,1)}
       104:{2,4,5,7}:{(66,1),(67,1),(68,1),(140,1),(147,1),(149,1),(150,1),(241,1),(247,1),(253,1),(344,1),(346,1),(403,1)}
       105:{2,6,7}:{(67,1),(69,1),(121,1),(148,1),(338,1)}
       106:{1,4,6,7}:{(68,1),(69,1),(122,1),(150,1),(151,1),(347,1),(349,1)}
       107:{1,2,4}:{(70,1),(90,1),(152,1),(180,1)}
       108:{2,3}:{(70,1),(74,1),(152,1)}
       109:{2,4,6}:{(70,1),(71,1),(92,1),(154,1),(155,1),(156,1),(261,1),(265,1),(378,1),(407,1)}
       110:{1,3,5}:{(71,1),(72,1),(76,1),(155,1),(157,1),(263,1),(274,1),(283,1),(362,1),(405,1),(408,1),(411,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(77,1),(94,1),(156,1),(158,1),(163,1),(190,1),(258,1),(271,1),(281,1),(284,1),(296,1),(351,1),(355,1),(379,1),(415,1)}
       112:{2,4,5}:{(72,1),(95,1),(157,1),(159,1),(261,1)}
       113:{2,3,5,7}:{(72,1),(73,1),(79,1),(158,1),(160,1),(161,1),(169,1),(275,1),(291,1),(374,1),(412,1)}
       114:{1,3,6}:{(74,1),(75,1),(154,1),(162,1),(163,1),(425,1)}
       115:{1,2,5}:{(75,1),(76,1),(155,1),(162,1),(362,1),(411,1)}
       116:{1,2,4,7}:{(75,1),(77,1),(83,1),(156,1),(163,1),(165,1),(271,1),(415,1),(416,1)}
       117:{1,4,5}:{(76,1),(78,1),(84,1),(166,1),(362,1)}
       118:{1,5,7}:{(76,1),(77,1),(79,1),(168,1)}
       119:{3,5}:{(78,1),(86,1)}
       120:{2,4,5,7}:{(78,1),(79,1),(80,1),(87,1),(167,1),(169,1),(170,1),(179,1),(275,1),(282,1)}
       121:{2,6}:{(79,1),(81,1),(168,1)}
       122:{1,4,6}:{(80,1),(81,1),(170,1),(171,1),(364,1)}
       123:{1,2,4,6}:{(82,1),(84,1),(164,1),(172,1),(173,1),(175,1),(187,1),(298,1),(378,1)}
       124:{1,2,5,7}:{(82,1),(83,1),(85,1),(173,1),(174,1),(188,1),(275,1),(305,1)}
       125:{1,3,4,6}:{(84,1),(86,1),(166,1),(172,1),(175,1),(176,1),(270,1),(276,1)}
       126:{1,4,7}:{(84,1),(85,1),(87,1)}
       127:{1,3,6,7}:{(85,1),(88,1),(168,1),(174,1),(177,1),(272,1),(276,1)}
       128:{3,4,7}:{(86,1),(87,1),(169,1),(296,1)}
       129:{2,4,6,7}:{(87,1),(88,1),(89,1),(170,1),(177,1),(178,1),(179,1),(356,1)}
       130:{1,5,7}:{(89,1),(171,1),(179,1),(405,1)}
       131:{1,3,5}:{(90,1),(91,1),(152,1),(180,1),(181,1),(283,1)}
       132:{1,2,6}:{(90,1),(92,1),(181,1),(183,1)}
       133:{2,4}:{(91,1),(97,1),(180,1)}
       134:{2,3,6}:{(91,1),(92,1),(98,1),(181,1),(184,1),(186,1)}
       135:{2,5,6}:{(92,1),(93,1),(155,1),(187,1),(188,1),(265,1),(378,1)}
       136:{2,7}:{(92,1),(94,1)}
       137:{1,4,6}:{(93,1),(95,1),(157,1),(187,1),(190,1),(409,1)}
       138:{1,3,5,7}:{(93,1),(94,1),(96,1),(102,1),(188,1),(190,1),(191,1),(296,1),(300,1),(305,1),(379,1),(380,1)}
       139:{3,4,6}:{(95,1),(103,1),(159,1),(192,1),(409,1)}
       140:{2,4,7}:{(95,1),(96,1),(190,1),(192,1)}
       141:{2,3,6,7}:{(96,1),(105,1),(161,1),(191,1),(193,1),(202,1),(306,1)}
       142:{1,3,4,6}:{(97,1),(98,1),(184,1),(194,1),(195,1),(196,1),(292,1),(303,1)}
       143:{1,3,5,6}:{(98,1),(99,1),(162,1),(185,1),(194,1),(196,1),(197,1),(272,1),(303,1),(362,1),(372,1),(381,1),(411,1),(426,1)}
       144:{1,3,7}:{(98,1),(100,1),(186,1),(296,1)}
       145:{1,2,5,7}:{(99,1),(100,1),(102,1),(188,1),(197,1),(198,1),(291,1),(416,1)}
       146:{1,3,5,6}:{(101,1),(103,1),(166,1),(189,1),(199,1),(200,1),(276,1),(366,1),(413,1)}
       147:{1,4,5,7}:{(101,1),(102,1),(104,1),(190,1),(200,1),(201,1),(300,1)}
       148:{1,6,7}:{(102,1),(105,1),(168,1),(368,1)}
       149:{3,5,7}:{(103,1),(104,1),(192,1),(202,1),(296,1)}
       150:{2,4,6,7}:{(104,1),(105,1),(106,1),(170,1),(201,1),(202,1),(203,1),(306,1),(307,1),(375,1)}
       151:{1,5,6,7}:{(106,1),(171,1),(203,1),(300,1),(381,1)}
       152:{1,3}:{(107,1),(108,1)}
       153:{1,2,4,6}:{(107,1),(109,1),(132,1),(204,1),(205,1),(206,1),(227,1),(231,1),(308,1),(311,1),(327,1),(383,1),(390,1)}
       154:{2,3,6}:{(108,1),(109,1),(114,1),(204,1),(207,1),(208,1),(240,1),(420,1)}
       155:{2,5}:{(109,1),(110,1)}
       156:{2,4,7}:{(109,1),(111,1),(136,1),(208,1),(210,1),(402,1)}
       157:{1,4,5}:{(110,1),(112,1),(137,1),(209,1),(216,1),(308,1),(421,1)}
       158:{1,3,5,7}:{(110,1),(111,1),(113,1),(118,1),(210,1),(212,1),(213,1),(316,1),(324,1),(330,1),(422,1)}
       159:{3,4,5}:{(112,1),(119,1),(139,1),(312,1),(336,1),(421,1)}
       160:{2,4,5,7}:{(112,1),(113,1),(140,1),(212,1),(214,1),(215,1),(247,1),(313,1),(387,1)}
       161:{2,3,6}:{(113,1),(121,1),(213,1),(215,1),(223,1),(325,1),(338,1),(399,1),(423,1)}
       162:{1,3,5}:{(114,1),(115,1),(207,1),(216,1)}
       163:{1,3,7}:{(114,1),(116,1),(208,1)}
       164:{1,2,4,5}:{(115,1),(117,1),(123,1),(209,1),(216,1),(218,1),(220,1),(318,1),(321,1),(388,1),(419,1)}
       165:{1,2,5,7}:{(115,1),(116,1),(118,1),(210,1),(217,1),(219,1),(422,1)}
       166:{1,3,5}:{(117,1),(119,1),(125,1),(220,1)}
       167:{1,4,5,7}:{(117,1),(118,1),(120,1),(126,1),(221,1),(222,1),(229,1)}
       168:{1,6}:{(118,1),(121,1)}
       169:{3,5,7}:{(119,1),(120,1),(128,1),(223,1)}
       170:{2,4,6}:{(120,1),(121,1),(122,1),(222,1),(223,1),(224,1),(325,1),(326,1)}
       171:{1,5,6}:{(122,1),(130,1),(224,1)}
       172:{1,3,6}:{(123,1),(218,1),(225,1),(226,1),(240,1)}
       173:{1,2,4,7}:{(123,1),(124,1),(126,1),(226,1),(228,1),(241,1),(345,1),(402,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(219,1),(242,1),(325,1),(349,1)}
       175:{2,4,6}:{(125,1),(220,1),(225,1),(227,1),(228,1),(321,1),(325,1)}
       176:{1,3,4,7}:{(125,1),(126,1),(128,1),(221,1),(226,1),(228,1)}
       177:{1,4,6,7}:{(126,1),(127,1),(129,1),(222,1),(229,1),(322,1)}
       178:{3,4,6,7}:{(128,1),(129,1),(223,1),(230,1),(326,1),(343,1),(386,1),(403,1)}
       179:{2,5,7}:{(129,1),(130,1),(224,1),(229,1),(230,1),(387,1)}
       180:{1,4}:{(131,1),(133,1)}
       181:{1,3,6}:{(131,1),(132,1),(134,1),(231,1),(233,1)}
       182:{1,2,5,6}:{(132,1),(135,1),(205,1),(232,1),(234,1),(235,1),(252,1),(311,1),(391,1),(423,1)}
       183:{1,2,7}:{(132,1),(136,1),(233,1)}
       184:{2,4,6}:{(133,1),(134,1),(142,1),(231,1),(236,1),(237,1),(338,1)}
       185:{2,3,5,6}:{(134,1),(135,1),(143,1),(207,1),(232,1),(236,1),(238,1),(239,1),(240,1),(314,1),(334,1),(336,1),(338,1),(387,1),(389,1),(391,1),(399,1),(400,1),(423,1)}
       186:{2,3,7}:{(134,1),(136,1),(144,1),(233,1),(237,1)}
       187:{2,4,6}:{(135,1),(137,1),(209,1),(240,1),(241,1)}
       188:{2,5,7}:{(135,1),(136,1),(138,1),(241,1),(242,1),(402,1)}
       189:{1,3,4,6}:{(137,1),(139,1),(146,1),(211,1),(240,1),(243,1),(244,1),(341,1)}
       190:{1,4,7}:{(137,1),(138,1),(140,1),(241,1),(403,1)}
       191:{1,3,6,7}:{(138,1),(141,1),(148,1),(213,1),(242,1),(245,1),(343,1),(349,1)}
       192:{3,4,7}:{(139,1),(140,1),(149,1),(403,1)}
       193:{2,4,6,7}:{(140,1),(141,1),(215,1),(245,1),(246,1),(247,1)}
       194:{1,3,5}:{(142,1),(236,1),(248,1),(336,1)}
       195:{1,3,4,7}:{(142,1),(144,1),(237,1),(249,1),(250,1),(339,1)}
       196:{1,4,6}:{(143,1),(216,1),(238,1),(248,1),(250,1)}
       197:{1,3,5,7}:{(143,1),(144,1),(145,1),(239,1),(250,1),(251,1),(348,1),(398,1),(422,1)}
       198:{1,2,6,7}:{(145,1),(148,1),(219,1),(242,1),(251,1),(338,1)}
       199:{2,5,6}:{(146,1),(220,1),(243,1),(252,1),(253,1),(325,1),(391,1),(423,1)}
       200:{1,3,5,7}:{(146,1),(147,1),(149,1),(244,1),(253,1),(254,1)}
       201:{1,4,6,7}:{(147,1),(148,1),(150,1),(222,1),(254,1),(255,1),(393,1)}
       202:{3,6,7}:{(149,1),(150,1),(223,1),(399,1)}
       203:{2,5,6,7}:{(150,1),(151,1),(224,1),(247,1),(255,1),(256,1),(344,1),(400,1)}
       204:{1,3,6}:{(152,1),(153,1),(154,1),(257,1),(258,1),(410,1)}
       205:{1,2,5}:{(153,1),(155,1),(257,1),(274,1),(283,1),(405,1)}
       206:{1,2,4,7}:{(153,1),(156,1),(183,1),(258,1),(260,1),(281,1),(284,1),(351,1),(365,1)}
       207:{2,3,5}:{(154,1),(155,1),(162,1),(257,1),(261,1),(263,1)}
       208:{2,3,7}:{(154,1),(156,1),(163,1),(258,1),(296,1)}
       209:{2,4,5}:{(155,1),(157,1),(187,1),(261,1),(263,1)}
       210:{2,5,7}:{(155,1),(156,1),(158,1),(265,1)}
       211:{1,3,4,5}:{(157,1),(159,1),(166,1),(189,1),(263,1),(266,1),(270,1),(350,1),(357,1),(366,1)}
       212:{1,4,5,7}:{(157,1),(158,1),(160,1),(190,1),(264,1),(267,1),(271,1),(300,1),(351,1),(362,1),(405,1)}
       213:{1,3,6}:{(158,1),(161,1),(168,1),(265,1),(267,1),(358,1),(364,1),(368,1),(426,1)}
       214:{3,4,5,7}:{(159,1),(160,1),(169,1),(192,1),(268,1),(282,1),(301,1),(355,1),(374,1),(408,1),(418,1)}
       215:{2,4,6}:{(160,1),(161,1),(267,1),(268,1),(269,1)}
       216:{1,4}:{(162,1),(261,1)}
       217:{1,3,5,7}:{(162,1),(163,1),(165,1),(262,1),(271,1),(272,1),(362,1)}
       218:{1,3,5}:{(164,1),(172,1),(263,1),(270,1),(273,1),(425,1)}
       219:{1,2,6}:{(165,1),(168,1),(265,1),(272,1),(426,1)}
       220:{2,5}:{(166,1),(175,1),(274,1)}
       221:{1,3,5,7}:{(166,1),(167,1),(169,1),(176,1),(275,1),(276,1)}
       222:{1,4,6}:{(167,1),(168,1),(170,1),(276,1),(277,1)}
       223:{3,6}:{(169,1),(170,1)}
       224:{2,5,6}:{(170,1),(171,1),(179,1),(277,1),(278,1)}
       225:{2,3,6}:{(172,1),(175,1),(273,1),(279,1),(280,1),(378,1)}
       226:{1,3,7}:{(172,1),(173,1),(280,1),(296,1)}
       227:{1,4,6}:{(175,1),(274,1),(279,1),(281,1),(361,1),(364,1)}
       228:{2,4,7}:{(175,1),(176,1),(275,1),(280,1),(281,1)}
       229:{1,5,7}:{(177,1),(179,1),(277,1),(362,1)}
       230:{3,5,7}:{(178,1),(179,1),(278,1),(282,1),(408,1)}
       231:{1,4,6}:{(180,1),(181,1),(184,1),(283,1),(284,1),(368,1)}
       232:{1,3,5,6}:{(181,1),(182,1),(185,1),(257,1),(283,1),(285,1),(286,1),(287,1),(352,1),(366,1),(368,1),(405,1),(413,1),(414,1)}
       233:{1,3,7}:{(181,1),(183,1),(186,1),(284,1)}
       234:{1,2,4,6}:{(182,1),(187,1),(259,1),(285,1),(287,1),(288,1),(298,1),(369,1),(378,1)}
       235:{1,2,5,7}:{(182,1),(183,1),(188,1),(286,1),(288,1),(289,1),(305,1),(412,1)}
       236:{2,5}:{(184,1),(194,1),(283,1)}
       237:{2,4,7}:{(184,1),(186,1),(195,1),(284,1),(291,1)}
       238:{2,4,6}:{(185,1),(196,1),(261,1),(285,1),(290,1),(292,1),(293,1),(409,1)}
       239:{2,3,5,7}:{(185,1),(186,1),(188,1),(197,1),(286,1),(291,1),(293,1),(294,1),(296,1),(373,1),(374,1),(377,1),(380,1),(412,1)}
       240:{3,6}:{(187,1),(263,1),(296,1)}
       241:{2,4,7}:{(187,1),(188,1),(190,1),(296,1)}
       242:{2,6,7}:{(188,1),(191,1),(265,1)}
       243:{2,4,6}:{(189,1),(199,1),(266,1),(295,1),(298,1),(299,1),(378,1)}
       244:{1,3,4,7}:{(189,1),(190,1),(192,1),(200,1),(296,1),(299,1),(379,1)}
       245:{1,4,6,7}:{(190,1),(191,1),(193,1),(267,1),(297,1),(300,1)}
       246:{3,4,6,7}:{(192,1),(193,1),(202,1),(268,1),(301,1),(307,1)}
       247:{2,5,7}:{(193,1),(269,1),(300,1),(301,1)}
       248:{1,4,5}:{(194,1),(196,1),(290,1),(362,1),(411,1)}
       249:{1,3,5,7}:{(194,1),(195,1),(291,1),(302,1),(303,1),(374,1)}
       250:{1,4,7}:{(196,1),(197,1),(293,1)}
       251:{1,3,6,7}:{(197,1),(198,1),(272,1),(294,1),(303,1),(304,1),(426,1)}
       252:{1,5,6}:{(199,1),(274,1),(298,1),(305,1),(364,1),(411,1),(426,1)}
       253:{2,5,7}:{(199,1),(200,1),(299,1),(305,1),(306,1)}
       254:{1,3,6,7}:{(200,1),(201,1),(202,1),(276,1),(306,1),(413,1)}
       255:{1,5,6,7}:{(201,1),(203,1),(277,1),(300,1),(414,1)}
       256:{3,5,6,7}:{(202,1),(203,1),(278,1),(301,1),(307,1),(380,1),(417,1)}
       257:{1,3,5}:{(204,1),(205,1),(207,1),(308,1)}
       258:{1,3,7}:{(204,1),(206,1),(208,1)}
       259:{1,2,4,5}:{(205,1),(209,1),(234,1),(308,1),(310,1),(318,1),(329,1),(382,1),(388,1),(390,1),(391,1)}
       260:{1,2,5,7}:{(205,1),(206,1),(210,1),(309,1),(311,1),(324,1),(330,1)}
       261:{2,4}:{(207,1),(216,1),(308,1),(312,1)}
       262:{2,3,5,7}:{(207,1),(208,1),(210,1),(217,1),(309,1),(313,1),(314,1),(316,1),(387,1)}
       263:{3,5}:{(209,1),(240,1),(312,1)}
       264:{2,4,5,7}:{(209,1),(210,1),(212,1),(241,1),(313,1),(316,1),(317,1),(344,1),(387,1),(403,1),(421,1)}
       265:{2,6}:{(210,1),(213,1)}
       266:{2,4,5}:{(211,1),(220,1),(243,1),(315,1),(318,1),(321,1),(382,1),(388,1),(391,1)}
       267:{1,4,6}:{(212,1),(213,1),(215,1),(317,1),(319,1)}
       268:{3,4,6}:{(214,1),(215,1),(223,1),(320,1),(326,1),(399,1),(424,1)}
       269:{2,5,6}:{(215,1),(247,1),(319,1),(320,1),(387,1)}
       270:{1,3,4}:{(216,1),(218,1),(312,1),(321,1)}
       271:{1,4,7}:{(216,1),(217,1),(313,1),(322,1)}
       272:{1,3,6}:{(217,1),(219,1),(314,1),(322,1)}
       273:{2,3,5}:{(218,1),(220,1),(225,1),(321,1),(323,1),(388,1),(420,1)}
       274:{1,5}:{(220,1),(227,1)}
       275:{2,5,7}:{(220,1),(221,1),(228,1),(324,1),(325,1)}
       276:{1,3,6}:{(221,1),(222,1),(223,1),(325,1)}
       277:{1,5,6}:{(222,1),(224,1),(229,1)}
       278:{3,5,6}:{(223,1),(224,1),(230,1),(326,1)}
       279:{1,3,6}:{(225,1),(227,1),(323,1),(327,1),(328,1)}
       280:{2,3,7}:{(225,1),(226,1),(228,1),(328,1),(402,1)}
       281:{1,4,7}:{(227,1),(228,1),(324,1),(328,1)}
       282:{4,5,7}:{(230,1),(326,1),(403,1),(421,1)}
       283:{1,5}:{(231,1),(236,1)}
       284:{1,4,7}:{(231,1),(233,1),(237,1),(330,1)}
       285:{1,4,6}:{(232,1),(238,1),(308,1),(329,1),(332,1)}
       286:{1,3,5,7}:{(232,1),(233,1),(235,1),(239,1),(330,1),(332,1),(333,1),(335,1),(396,1)}
       287:{1,3,6}:{(234,1),(240,1),(310,1),(334,1),(335,1)}
       288:{1,2,4,7}:{(234,1),(235,1),(241,1),(332,1),(335,1),(345,1),(395,1),(402,1)}
       289:{1,2,6,7}:{(235,1),(242,1),(311,1),(333,1),(349,1),(423,1)}
       290:{2,4,5}:{(236,1),(238,1),(248,1),(329,1),(336,1),(387,1),(391,1),(421,1)}
       291:{2,5,7}:{(236,1),(237,1),(249,1),(330,1),(338,1)}
       292:{3,4,6}:{(238,1),(240,1),(312,1),(336,1),(339,1),(399,1)}
       293:{2,4,7}:{(238,1),(239,1),(250,1),(332,1),(339,1),(403,1)}
       294:{2,3,6,7}:{(239,1),(242,1),(251,1),(314,1),(333,1),(338,1),(340,1),(343,1),(399,1),(423,1)}
       295:{2,3,6}:{(240,1),(243,1),(315,1),(341,1),(342,1)}
       296:{3,7}:{(240,1),(241,1)}
       297:{2,4,6,7}:{(241,1),(242,1),(245,1),(317,1),(343,1),(344,1),(403,1)}
       298:{1,4,6}:{(243,1),(252,1),(318,1),(341,1),(345,1)}
       299:{2,4,7}:{(243,1),(244,1),(253,1),(342,1),(345,1),(402,1)}
       300:{1,5,7}:{(245,1),(247,1),(319,1),(344,1)}
       301:{3,5,7}:{(246,1),(247,1),(320,1),(346,1)}
       302:{1,4,5,7}:{(248,1),(249,1),(250,1),(337,1),(347,1),(348,1),(422,1)}
       303:{1,3,6}:{(249,1),(338,1),(347,1),(399,1)}
       304:{1,4,6,7}:{(250,1),(251,1),(322,1),(340,1),(347,1),(348,1)}
       305:{1,5,7}:{(252,1),(253,1),(345,1),(349,1)}
       306:{2,6,7}:{(253,1),(254,1),(325,1),(349,1),(423,1)}
       307:{4,6,7}:{(256,1),(326,1),(346,1),(403,1),(424,1)}
       308:{1,4}:{(257,1),(261,1)}
       309:{1,3,5,7}:{(257,1),(258,1),(260,1),(262,1),(351,1),(352,1),(405,1)}
       310:{1,3,5}:{(259,1),(263,1),(287,1),(350,1),(353,1),(410,1)}
       311:{1,2,6}:{(260,1),(265,1),(352,1),(364,1),(368,1)}
       312:{3,4}:{(261,1),(263,1)}
       313:{2,4,7}:{(261,1),(262,1),(271,1),(351,1),(355,1),(356,1)}
       314:{2,3,6}:{(262,1),(265,1),(272,1),(352,1),(356,1),(358,1)}
       315:{2,3,5}:{(263,1),(266,1),(295,1),(354,1),(357,1)}
       316:{3,5,7}:{(263,1),(264,1),(296,1),(355,1),(358,1),(408,1)}
       317:{2,4,6}:{(264,1),(265,1),(267,1),(358,1),(359,1),(409,1)}
       318:{1,4,5}:{(266,1),(274,1),(298,1),(357,1),(361,1),(404,1),(411,1)}
       319:{1,5,6}:{(267,1),(269,1),(300,1),(359,1),(362,1),(405,1)}
       320:{3,5,6}:{(268,1),(269,1),(301,1),(360,1),(408,1)}
       321:{2,4}:{(270,1),(273,1),(361,1)}
       322:{1,4,6}:{(271,1),(272,1),(356,1),(362,1)}
       323:{1,3,5}:{(273,1),(274,1),(279,1),(361,1),(363,1),(410,1)}
       324:{1,5,7}:{(274,1),(275,1),(281,1),(364,1)}
       325:{2,6}:{(275,1),(276,1),(364,1)}
       326:{4,6}:{(278,1),(282,1)}
       327:{1,2,6}:{(279,1),(363,1),(365,1),(378,1)}
       328:{1,3,7}:{(279,1),(280,1),(281,1),(365,1)}
       329:{1,4,5}:{(283,1),(285,1),(290,1),(366,1),(405,1)}
       330:{1,5,7}:{(283,1),(284,1),(291,1),(368,1)}
       331:{1,3,4,6}:{(285,1),(287,1),(292,1),(350,1),(366,1),(369,1),(370,1),(413,1)}
       332:{1,4,7}:{(285,1),(286,1),(293,1)}
       333:{1,3,6,7}:{(286,1),(289,1),(294,1),(352,1),(368,1),(371,1),(413,1)}
       334:{2,3,6}:{(287,1),(353,1),(369,1),(372,1),(373,1),(378,1)}
       335:{1,3,7}:{(287,1),(288,1),(296,1),(373,1)}
       336:{3,5}:{(290,1),(292,1)}
       337:{2,4,5,7}:{(290,1),(291,1),(293,1),(302,1),(367,1),(374,1),(375,1),(377,1),(412,1),(418,1)}
       338:{2,6}:{(291,1),(303,1),(368,1)}
       339:{3,4,7}:{(292,1),(293,1),(296,1),(374,1)}
       340:{2,4,6,7}:{(293,1),(294,1),(304,1),(356,1),(371,1),(375,1),(376,1),(377,1)}
       341:{1,3,6}:{(295,1),(298,1),(357,1),(378,1),(379,1)}
       342:{2,3,7}:{(295,1),(296,1),(299,1),(379,1)}
       343:{3,6,7}:{(296,1),(297,1),(358,1),(380,1)}
       344:{2,5,7}:{(297,1),(300,1),(359,1),(380,1)}
       345:{1,4,7}:{(298,1),(299,1),(305,1),(379,1)}
       346:{4,5,7}:{(301,1),(307,1),(360,1)}
       347:{1,4,6}:{(302,1),(303,1),(375,1),(381,1),(426,1)}
       348:{1,5,7}:{(304,1),(362,1),(377,1),(381,1)}
       349:{1,6,7}:{(305,1),(306,1),(364,1),(426,1)}
       350:{1,3,4}:{(308,1),(310,1),(312,1),(382,1)}
       351:{1,4,7}:{(308,1),(309,1),(313,1),(383,1)}
       352:{1,3,6}:{(309,1),(311,1),(314,1),(383,1)}
       353:{2,3,5}:{(310,1),(334,1),(382,1),(384,1),(388,1),(391,1),(420,1)}
       354:{2,3,4}:{(312,1),(315,1),(321,1),(382,1),(385,1),(420,1)}
       355:{3,4,7}:{(312,1),(313,1),(316,1),(386,1),(403,1)}
       356:{2,4,6}:{(313,1),(314,1),(322,1),(383,1),(386,1),(387,1)}
       357:{1,3,5}:{(315,1),(318,1),(341,1),(385,1),(388,1)}
       358:{3,6}:{(316,1),(317,1)}
       359:{2,5,6}:{(317,1),(319,1),(344,1),(387,1),(389,1)}
       360:{4,5,6}:{(320,1),(326,1),(346,1),(421,1),(424,1)}
       361:{1,4}:{(321,1),(323,1)}
       362:{1,5}:{(322,1),(387,1)}
       363:{1,2,5}:{(323,1),(327,1),(388,1),(390,1)}
       364:{1,6}:{(324,1),(325,1)}
       365:{1,2,7}:{(327,1),(328,1),(402,1)}
       366:{1,3,5}:{(329,1),(331,1),(336,1),(391,1)}
       367:{1,4,5,7}:{(329,1),(330,1),(332,1),(337,1),(392,1),(393,1),(396,1)}
       368:{1,6}:{(330,1),(338,1)}
       369:{2,4,6}:{(331,1),(334,1),(382,1),(391,1),(394,1),(395,1),(423,1)}
       370:{1,3,4,7}:{(331,1),(332,1),(335,1),(339,1),(392,1),(395,1)}
       371:{1,4,6,7}:{(332,1),(333,1),(340,1),(383,1),(393,1),(396,1)}
       372:{1,3,6}:{(334,1),(384,1),(394,1),(397,1),(398,1)}
       373:{2,3,7}:{(334,1),(335,1),(395,1),(398,1),(402,1)}
       374:{3,5,7}:{(336,1),(337,1),(339,1),(399,1)}
       375:{2,4,6}:{(337,1),(338,1),(347,1),(393,1),(399,1),(400,1),(423,1),(424,1)}
       376:{3,4,6,7}:{(339,1),(340,1),(343,1),(386,1),(399,1),(401,1),(403,1),(424,1)}
       377:{2,5,7}:{(340,1),(348,1),(387,1),(396,1),(400,1),(401,1)}
       378:{2,6}:{(341,1),(388,1),(402,1)}
       379:{1,3,7}:{(341,1),(342,1),(345,1),(402,1)}
       380:{3,5,7}:{(343,1),(344,1),(389,1),(403,1)}
       381:{1,5,6}:{(347,1),(348,1),(400,1)}
       382:{2,4}:{(350,1),(353,1),(404,1)}
       383:{1,4,6}:{(351,1),(352,1),(356,1),(405,1)}
       384:{1,3,5}:{(353,1),(372,1),(404,1),(406,1),(411,1),(425,1)}
       385:{1,3,4}:{(354,1),(357,1),(361,1),(404,1),(407,1),(410,1),(425,1)}
       386:{3,4,6}:{(355,1),(356,1),(358,1),(408,1),(409,1)}
       387:{2,5}:{(356,1),(362,1),(405,1),(408,1)}
       388:{2,5}:{(357,1),(378,1),(407,1)}
       389:{3,5,6}:{(358,1),(359,1),(380,1),(408,1),(409,1)}
       390:{1,2,4}:{(361,1),(363,1),(407,1),(410,1)}
       391:{2,5}:{(366,1),(369,1),(411,1)}
       392:{1,3,5,7}:{(366,1),(367,1),(370,1),(374,1),(412,1),(413,1)}
       393:{1,4,6}:{(367,1),(368,1),(375,1),(413,1),(414,1)}
       394:{1,4,6}:{(369,1),(372,1),(404,1),(411,1),(415,1),(426,1)}
       395:{2,4,7}:{(369,1),(370,1),(373,1),(412,1),(415,1)}
       396:{1,5,7}:{(371,1),(377,1),(405,1),(414,1)}
       397:{1,2,6}:{(372,1),(378,1),(406,1),(416,1)}
       398:{1,3,7}:{(372,1),(373,1),(415,1),(416,1)}
       399:{3,6}:{(374,1),(375,1)}
       400:{2,5,6}:{(375,1),(377,1),(381,1),(414,1),(417,1)}
       401:{3,5,7}:{(376,1),(377,1),(408,1),(417,1),(418,1)}
       402:{2,7}:{(378,1),(379,1)}
       403:{4,7}:{(380,1),(409,1)}
       404:{1,4}:{(382,1),(384,1)}
       405:{1,5}:{(383,1),(387,1)}
       406:{1,2,5}:{(384,1),(388,1),(397,1),(419,1)}
       407:{2,4}:{(385,1),(388,1),(420,1)}
       408:{3,5}:{(386,1),(387,1),(421,1)}
       409:{4,6}:{(389,1),(403,1),(421,1)}
       410:{1,3}:{(390,1),(420,1)}
       411:{1,5}:{(391,1),(394,1)}
       412:{2,5,7}:{(391,1),(392,1),(395,1),(422,1),(423,1)}
       413:{1,3,6}:{(392,1),(393,1),(399,1),(423,1)}
       414:{1,5,6}:{(393,1),(396,1),(400,1)}
       415:{1,4,7}:{(394,1),(395,1),(398,1),(422,1)}
       416:{1,2,7}:{(397,1),(398,1),(402,1)}
       417:{3,5,6}:{(399,1),(400,1),(401,1),(424,1)}
       418:{4,5,7}:{(401,1),(403,1),(421,1),(424,1)}
       419:{1,2,4}:{(404,1),(406,1),(407,1),(425,1)}
       420:{2,3}:{(407,1),(410,1),(425,1)}
       421:{4,5}:{(408,1),(409,1)}
       422:{1,5,7}:{(411,1),(412,1),(415,1),(426,1)}
       423:{2,6}:{(412,1),(413,1),(426,1)}
       424:{4,6}:{(417,1),(418,1)}
       425:{1,3}:{(419,1),(420,1)}
       426:{1,6}:{(422,1),(423,1)}

 648 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(21,1),(23,1),(58,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(21,1),(25,1),(32,1),(55,1),(58,1),(61,1),(96,1)}
         2:{1,3,6}:{(0,1),(8,1),(9,1),(10,1),(116,1)}
         3:{1,2,5}:{(0,1),(9,1),(14,1),(78,1),(140,1)}
         4:{1,2,4,7}:{(0,1),(10,1),(11,1),(15,1),(38,1),(176,1)}
         5:{2,4,6}:{(1,1),(8,1),(13,1),(14,1),(15,1),(36,1),(49,1)}
         6:{1,3,5}:{(1,1),(14,1),(16,1),(47,1),(78,1),(115,1)}
         7:{1,3,4,7}:{(1,1),(10,1),(15,1),(17,1),(38,1),(43,1),(76,1),(82,1),(177,1)}
         8:{2,3,6}:{(2,1),(5,1),(18,1),(19,1),(20,1),(61,1),(98,1)}
         9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(103,1),(125,1)}
        10:{1,3,7}:{(2,1),(4,1),(20,1),(133,1),(181,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(22,1),(23,1),(30,1),(152,1),(170,1)}
        12:{1,3,5,6}:{(6,1),(24,1),(25,1),(26,1),(32,1),(61,1),(70,1),(107,1)}
        13:{1,4,6}:{(5,1),(18,1),(27,1),(28,1),(53,1),(67,1)}
        14:{2,5}:{(5,1),(6,1),(27,1)}
        15:{2,4,7}:{(5,1),(7,1),(20,1),(28,1),(30,1),(182,1)}
        16:{1,4,5}:{(6,1),(21,1),(25,1),(29,1),(103,1),(132,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(68,1),(173,1),(174,1)}
        18:{1,3,6}:{(8,1),(13,1),(33,1),(34,1),(35,1)}
        19:{2,3,5}:{(8,1),(9,1),(14,1),(34,1),(36,1),(47,1),(85,1),(108,1)}
        20:{2,3,7}:{(8,1),(10,1),(15,1),(35,1),(82,1),(117,1),(185,1)}
        21:{1,4}:{(9,1),(36,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(11,1),(37,1),(38,1),(39,1),(78,1),(121,1),(141,1),(163,1)}
        23:{1,2,6}:{(11,1),(39,1),(49,1)}
        24:{2,5,6}:{(12,1),(14,1),(40,1),(41,1),(42,1),(49,1)}
        25:{1,4,6}:{(12,1),(16,1),(41,1),(43,1),(116,1),(124,1)}
        26:{1,3,5,7}:{(12,1),(42,1),(43,1),(44,1),(82,1),(84,1),(120,1)}
        27:{1,5}:{(13,1),(14,1)}
        28:{1,4,7}:{(13,1),(15,1),(35,1),(46,1),(186,1)}
        29:{2,4,5}:{(14,1),(16,1),(36,1),(41,1),(45,1),(47,1),(85,1)}
        30:{2,5,7}:{(14,1),(15,1),(17,1),(46,1),(49,1),(178,1),(179,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(38,1),(43,1),(48,1),(50,1),(78,1),(84,1),(121,1),(165,1),(167,1)}
        32:{1,3,6}:{(17,1),(49,1),(50,1),(88,1)}
        33:{1,2,6}:{(18,1),(51,1),(52,1),(98,1)}
        34:{1,3,5}:{(18,1),(19,1),(27,1),(51,1),(53,1),(90,1)}
        35:{1,3,7}:{(18,1),(20,1),(28,1),(52,1),(187,1)}
        36:{2,4}:{(19,1),(21,1),(53,1),(55,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(22,1),(30,1),(54,1),(56,1),(57,1),(68,1),(97,1),(104,1),(126,1),(154,1)}
        38:{1,4,7}:{(21,1),(22,1),(56,1),(58,1),(171,1)}
        39:{1,3,6}:{(22,1),(23,1),(57,1),(58,1),(137,1)}
        40:{1,5,6}:{(24,1),(27,1),(59,1),(60,1),(67,1)}
        41:{2,4,6}:{(24,1),(25,1),(29,1),(59,1),(61,1),(62,1),(98,1)}
        42:{2,5,7}:{(24,1),(26,1),(60,1),(62,1),(63,1)}
        43:{1,4,7}:{(25,1),(26,1),(62,1),(133,1),(136,1)}
        44:{1,3,6,7}:{(26,1),(32,1),(63,1),(64,1),(101,1),(174,1)}
        45:{1,4,5}:{(27,1),(29,1),(53,1),(59,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(30,1),(67,1),(183,1),(184,1)}
        47:{3,5}:{(29,1),(55,1),(61,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(31,1),(56,1),(62,1),(66,1),(68,1),(69,1),(97,1),(102,1),(104,1),(132,1),(136,1),(157,1),(159,1)}
        49:{2,6}:{(30,1),(32,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(70,1),(137,1)}
        51:{1,2,5}:{(33,1),(34,1),(71,1),(85,1)}
        52:{1,2,7}:{(33,1),(35,1),(117,1),(188,1)}
        53:{1,4}:{(34,1),(36,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(37,1),(46,1),(72,1),(74,1),(75,1),(109,1),(114,1),(143,1)}
        55:{3,4}:{(36,1),(47,1)}
        56:{2,4,7}:{(36,1),(37,1),(38,1),(74,1),(76,1),(77,1),(164,1)}
        57:{2,3,6}:{(37,1),(39,1),(49,1),(75,1),(77,1),(88,1),(122,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1)}
        59:{1,4,6}:{(40,1),(41,1),(45,1),(79,1),(80,1)}
        60:{1,5,7}:{(40,1),(42,1),(80,1),(81,1)}
        61:{3,6}:{(41,1),(47,1),(82,1)}
        62:{2,4,7}:{(41,1),(42,1),(43,1),(80,1),(82,1),(117,1)}
        63:{2,6,7}:{(42,1),(44,1),(49,1),(81,1),(179,1)}
        64:{1,4,6,7}:{(43,1),(44,1),(50,1),(83,1),(84,1),(147,1),(167,1)}
        65:{1,3,5}:{(45,1),(47,1),(73,1),(79,1),(85,1)}
        66:{1,4,5,7}:{(45,1),(46,1),(48,1),(74,1),(80,1),(86,1),(87,1),(114,1),(119,1),(146,1),(149,1)}
        67:{1,6}:{(46,1),(49,1)}
        68:{3,5,7}:{(47,1),(48,1),(76,1),(82,1),(88,1),(115,1),(166,1),(168,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(87,1),(88,1),(89,1),(122,1),(124,1)}
        70:{1,5,6}:{(50,1),(78,1),(84,1),(89,1)}
        71:{1,2,4}:{(51,1),(53,1),(90,1),(93,1)}
        72:{1,2,5,7}:{(51,1),(52,1),(54,1),(91,1),(92,1),(104,1),(128,1)}
        73:{1,3,4}:{(53,1),(55,1),(65,1),(90,1),(93,1)}
        74:{1,4,7}:{(53,1),(54,1),(56,1),(95,1),(155,1)}
        75:{1,3,6}:{(54,1),(57,1),(67,1),(92,1),(95,1)}
        76:{3,4,7}:{(55,1),(56,1),(68,1),(96,1),(136,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1)}
        78:{1,5}:{(58,1),(97,1)}
        79:{1,3,6}:{(59,1),(61,1),(65,1),(98,1),(99,1)}
        80:{1,4,7}:{(59,1),(60,1),(62,1),(99,1)}
        81:{1,6,7}:{(60,1),(63,1),(67,1),(184,1)}
        82:{3,7}:{(61,1),(62,1)}
        83:{2,4,6,7}:{(62,1),(63,1),(64,1),(69,1),(100,1),(101,1),(102,1),(134,1),(136,1),(159,1)}
        84:{1,5,7}:{(64,1),(70,1),(102,1)}
        85:{2,5}:{(65,1),(93,1),(98,1),(103,1)}
        86:{1,3,5,7}:{(65,1),(66,1),(68,1),(94,1),(99,1),(104,1),(105,1),(131,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1),(105,1),(106,1)}
        88:{3,6}:{(68,1),(69,1)}
        89:{2,5,6}:{(69,1),(70,1),(97,1),(102,1),(106,1),(107,1)}
        90:{1,3}:{(71,1),(108,1)}
        91:{1,2,4,7}:{(71,1),(72,1),(74,1),(109,1),(110,1),(112,1)}
        92:{1,2,6}:{(72,1),(75,1),(122,1)}
        93:{2,4}:{(73,1),(85,1),(108,1),(111,1)}
        94:{1,3,4,7}:{(73,1),(74,1),(76,1),(86,1),(109,1),(112,1),(113,1),(149,1),(168,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(114,1)}
        96:{3,4,6}:{(76,1),(77,1),(88,1),(115,1),(124,1)}
        97:{2,5}:{(77,1),(78,1),(114,1),(115,1)}
        98:{2,6}:{(79,1),(85,1),(116,1),(117,1)}
        99:{1,3,7}:{(79,1),(80,1),(82,1),(117,1)}
       100:{1,4,6,7}:{(80,1),(81,1),(83,1),(87,1),(118,1),(119,1),(149,1)}
       101:{3,6,7}:{(82,1),(83,1),(88,1),(120,1),(168,1)}
       102:{2,5,7}:{(83,1),(84,1),(89,1),(119,1),(120,1)}
       103:{1,5}:{(85,1),(111,1),(116,1)}
       104:{2,5,7}:{(85,1),(86,1),(112,1),(117,1),(121,1),(122,1),(145,1)}
       105:{1,3,6}:{(86,1),(87,1),(88,1),(122,1)}
       106:{1,5,6}:{(87,1),(89,1),(114,1),(119,1)}
       107:{3,5,6}:{(88,1),(89,1),(115,1),(120,1),(124,1)}
       108:{2,3}:{(90,1),(93,1),(125,1)}
       109:{1,3,7}:{(90,1),(91,1),(126,1),(127,1),(184,1)}
       110:{1,2,4,6}:{(91,1),(92,1),(95,1),(127,1),(128,1),(130,1),(155,1)}
       111:{1,4}:{(93,1),(103,1),(125,1)}
       112:{2,4,7}:{(93,1),(94,1),(104,1),(126,1),(129,1),(130,1)}
       113:{1,3,4,6}:{(94,1),(95,1),(96,1),(105,1),(127,1),(130,1),(131,1),(139,1),(155,1),(161,1),(172,1)}
       114:{1,5}:{(95,1),(97,1)}
       115:{3,5}:{(96,1),(97,1),(132,1)}
       116:{1,6}:{(98,1),(103,1),(133,1)}
       117:{2,7}:{(98,1),(99,1),(133,1)}
       118:{1,3,6,7}:{(99,1),(100,1),(101,1),(105,1),(134,1),(135,1)}
       119:{1,5,7}:{(100,1),(102,1),(106,1)}
       120:{3,5,7}:{(101,1),(102,1),(107,1),(136,1)}
       121:{1,5,7}:{(103,1),(104,1),(129,1),(133,1),(137,1),(156,1)}
       122:{2,6}:{(104,1),(105,1),(137,1)}
       123:{1,3,5,6}:{(105,1),(106,1),(107,1),(131,1),(135,1),(138,1),(139,1),(161,1)}
       124:{4,6}:{(107,1),(132,1),(136,1)}
       125:{1,3}:{(108,1),(111,1),(140,1)}
       126:{2,3,7}:{(108,1),(109,1),(112,1),(141,1),(142,1),(168,1),(179,1)}
       127:{1,3,6}:{(109,1),(110,1),(142,1),(143,1),(180,1)}
       128:{1,2,5}:{(110,1),(114,1),(143,1),(145,1),(188,1)}
       129:{1,4,7}:{(111,1),(112,1),(121,1),(141,1),(144,1)}
       130:{2,4,6}:{(112,1),(113,1),(122,1),(142,1),(144,1),(145,1),(164,1)}
       131:{1,3,5}:{(113,1),(114,1),(115,1),(145,1),(146,1),(166,1)}
       132:{4,5}:{(115,1),(124,1)}
       133:{1,7}:{(116,1),(117,1)}
       134:{2,6,7}:{(117,1),(118,1),(122,1),(147,1),(148,1)}
       135:{1,3,5,7}:{(118,1),(119,1),(120,1),(123,1),(148,1),(149,1),(168,1)}
       136:{4,7}:{(120,1),(124,1)}
       137:{1,6}:{(121,1),(122,1)}
       138:{2,5,6}:{(122,1),(123,1),(145,1),(148,1),(150,1),(151,1)}
       139:{1,4,6}:{(123,1),(124,1),(146,1),(149,1),(151,1),(180,1)}
       140:{1,2}:{(125,1)}
       141:{1,3,7}:{(125,1),(126,1),(129,1),(152,1),(153,1)}
       142:{2,3,6}:{(126,1),(127,1),(130,1),(153,1),(154,1),(161,1),(175,1)}
       143:{1,3,5}:{(127,1),(128,1),(154,1),(155,1),(183,1),(187,1)}
       144:{1,4,6}:{(129,1),(130,1),(137,1),(153,1),(156,1),(171,1)}
       145:{2,5}:{(130,1),(131,1),(156,1)}
       146:{1,4,5}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,6,7}:{(133,1),(134,1),(137,1),(158,1)}
       148:{2,5,7}:{(134,1),(135,1),(138,1),(158,1),(159,1)}
       149:{1,4,7}:{(135,1),(136,1),(139,1),(159,1),(184,1)}
       150:{1,5,6}:{(137,1),(138,1),(156,1),(158,1),(160,1)}
       151:{2,4,6}:{(138,1),(139,1),(157,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,2,7}:{(140,1),(141,1),(162,1),(179,1)}
       153:{1,3,6}:{(141,1),(142,1),(144,1),(162,1),(163,1)}
       154:{2,3,5}:{(142,1),(143,1),(145,1),(163,1),(164,1),(166,1),(178,1),(185,1)}
       155:{1,4}:{(143,1),(164,1)}
       156:{1,5}:{(144,1),(145,1)}
       157:{2,4,5}:{(145,1),(146,1),(151,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,5,7}:{(147,1),(148,1),(150,1),(167,1)}
       159:{2,4,7}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(165,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(166,1),(168,1)}
       162:{1,2,6}:{(152,1),(153,1),(170,1),(175,1)}
       163:{1,3,5}:{(153,1),(154,1),(156,1),(170,1),(171,1),(181,1)}
       164:{2,4}:{(154,1),(155,1),(171,1),(172,1)}
       165:{1,4,5}:{(156,1),(157,1),(160,1),(171,1),(173,1)}
       166:{3,5}:{(157,1),(161,1),(172,1)}
       167:{1,4,7}:{(158,1),(159,1),(160,1),(174,1)}
       168:{3,7}:{(159,1),(161,1)}
       169:{1,3,6}:{(160,1),(161,1),(173,1),(174,1),(175,1)}
       170:{1,2,5}:{(162,1),(163,1),(176,1),(178,1)}
       171:{1,4}:{(163,1),(164,1)}
       172:{3,4}:{(164,1),(166,1)}
       173:{1,3,5}:{(165,1),(166,1),(169,1),(177,1),(178,1)}
       174:{1,3,7}:{(167,1),(168,1),(169,1),(179,1)}
       175:{2,6}:{(169,1),(178,1),(179,1),(180,1)}
       176:{1,2,4}:{(170,1),(171,1),(181,1),(182,1)}
       177:{1,3,4}:{(171,1),(172,1),(173,1),(181,1),(182,1)}
       178:{2,5}:{(173,1),(175,1),(182,1),(183,1)}
       179:{2,7}:{(174,1),(175,1),(184,1)}
       180:{1,6}:{(175,1),(183,1),(184,1)}
       181:{1,3}:{(176,1),(185,1)}
       182:{2,4}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,7}:{(179,1),(180,1)}
       185:{2,3}:{(181,1),(182,1),(187,1)}
       186:{1,4}:{(182,1),(183,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

 649 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(16,1),(18,1),(25,1),(73,1),(148,1),(151,1),(158,1),(160,1),(167,1),(220,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(11,1),(31,1),(36,1),(47,1),(53,1),(94,1),(105,1),(113,1),(129,1),(182,1),(198,1),(204,1),(205,1),(212,1),(262,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(193,1),(206,1),(209,1),(259,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(39,1),(42,1),(114,1),(196,1),(199,1),(213,1),(263,1)}
         4:{1,2,4,6}:{(6,1),(11,1),(12,1),(13,1),(53,1),(56,1),(129,1),(262,1),(265,1),(267,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(25,1),(63,1),(81,1),(142,1),(151,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(73,1),(77,1),(245,1),(248,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(75,1),(173,1),(226,1),(249,1),(251,1),(294,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(28,1),(59,1),(69,1),(88,1),(137,1),(152,1),(159,1),(246,1),(256,1),(299,1)}
         9:{2,4,5}:{(2,1),(16,1),(21,1),(23,1),(73,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(239,1),(252,1),(295,1)}
        11:{1,3,6}:{(4,1),(18,1),(27,1),(28,1),(301,1)}
        12:{1,2,5}:{(4,1),(19,1),(27,1),(173,1),(294,1)}
        13:{1,2,4,7}:{(4,1),(20,1),(28,1),(30,1),(88,1),(299,1),(300,1)}
        14:{1,2,4,6}:{(6,1),(31,1),(32,1),(33,1),(94,1),(97,1),(182,1),(212,1),(215,1),(217,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(35,1),(36,1),(37,1),(47,1),(105,1),(120,1),(188,1),(198,1),(208,1)}
        16:{2,4,6}:{(5,1),(9,1),(36,1),(38,1),(39,1)}
        17:{2,3,5,7}:{(5,1),(37,1),(39,1),(40,1),(101,1),(112,1),(189,1),(199,1)}
        18:{2,3,6}:{(6,1),(11,1),(31,1),(41,1),(42,1),(105,1),(287,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(285,1)}
        21:{1,4,5}:{(7,1),(9,1),(36,1),(43,1),(53,1),(94,1),(288,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(117,1),(290,1),(324,1)}
        23:{3,4,5}:{(9,1),(38,1),(113,1),(193,1),(391,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(39,1),(46,1),(48,1),(49,1),(112,1),(114,1),(206,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(280,1),(291,1),(325,1)}
        26:{1,2,5,6}:{(12,1),(35,1),(50,1),(51,1),(52,1),(56,1),(188,1),(209,1),(265,1),(273,1),(291,1),(323,1),(365,1)}
        27:{1,3,5}:{(11,1),(12,1),(41,1),(53,1)}
        28:{1,3,7}:{(11,1),(13,1),(42,1)}
        29:{1,2,4,5}:{(12,1),(43,1),(51,1),(53,1),(55,1),(119,1),(122,1),(128,1),(207,1),(209,1),(267,1),(323,1),(328,1),(363,1)}
        30:{1,2,5,7}:{(12,1),(13,1),(44,1),(54,1),(56,1),(324,1)}
        31:{1,3,6}:{(14,1),(18,1),(58,1),(59,1),(258,1)}
        32:{1,2,5}:{(14,1),(19,1),(58,1),(226,1),(251,1)}
        33:{1,2,4,7}:{(14,1),(20,1),(59,1),(61,1),(137,1),(256,1),(257,1)}
        34:{2,4,5,6}:{(16,1),(62,1),(63,1),(64,1),(81,1),(142,1),(147,1),(164,1),(240,1),(305,1),(379,1),(390,1)}
        35:{2,5,6}:{(15,1),(19,1),(66,1),(67,1),(77,1),(245,1)}
        36:{1,4,6}:{(15,1),(16,1),(21,1),(66,1),(69,1),(250,1)}
        37:{1,3,5,7}:{(15,1),(17,1),(67,1),(69,1),(70,1),(152,1),(156,1),(235,1),(246,1),(247,1)}
        38:{3,4,6}:{(16,1),(23,1),(63,1),(71,1),(390,1)}
        39:{2,4,7}:{(16,1),(17,1),(69,1),(71,1)}
        40:{2,3,6,7}:{(17,1),(25,1),(70,1),(72,1),(145,1),(236,1)}
        41:{2,3,5}:{(18,1),(19,1),(27,1),(58,1),(73,1),(75,1)}
        42:{2,3,7}:{(18,1),(20,1),(28,1),(59,1),(152,1)}
        43:{2,4,5}:{(19,1),(21,1),(66,1),(73,1),(75,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(77,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(68,1),(75,1),(78,1),(87,1),(136,1),(161,1),(165,1),(218,1),(228,1),(302,1),(350,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(69,1),(76,1),(79,1),(88,1),(137,1),(156,1),(173,1),(226,1)}
        47:{1,3,6}:{(22,1),(25,1),(77,1),(79,1),(162,1),(321,1),(348,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(71,1),(80,1),(157,1),(159,1),(239,1),(249,1),(318,1)}
        49:{2,4,6}:{(24,1),(25,1),(79,1),(80,1),(81,1)}
        50:{1,3,5,6}:{(26,1),(27,1),(65,1),(82,1),(83,1),(84,1),(89,1),(165,1),(173,1),(223,1),(253,1),(254,1),(294,1),(346,1),(348,1),(376,1),(388,1)}
        51:{1,2,4,6}:{(26,1),(29,1),(66,1),(82,1),(84,1),(85,1),(154,1),(167,1),(245,1),(305,1)}
        52:{1,2,5,7}:{(26,1),(67,1),(83,1),(85,1),(86,1),(235,1),(252,1),(300,1),(309,1)}
        53:{1,4}:{(27,1),(73,1)}
        54:{1,3,5,7}:{(27,1),(28,1),(30,1),(74,1),(88,1),(89,1),(173,1)}
        55:{1,3,5}:{(29,1),(75,1),(84,1),(87,1),(90,1),(301,1),(350,1)}
        56:{1,2,6}:{(30,1),(77,1),(89,1),(348,1)}
        57:{1,2,5,6}:{(32,1),(35,1),(91,1),(92,1),(93,1),(97,1),(188,1),(215,1),(259,1),(273,1),(289,1),(325,1),(345,1)}
        58:{1,3,5}:{(31,1),(32,1),(41,1),(94,1)}
        59:{1,3,7}:{(31,1),(33,1),(42,1)}
        60:{1,2,4,5}:{(32,1),(43,1),(92,1),(94,1),(96,1),(119,1),(175,1),(181,1),(207,1),(217,1),(259,1),(289,1),(328,1),(343,1)}
        61:{1,2,5,7}:{(32,1),(33,1),(44,1),(95,1),(97,1),(290,1)}
        62:{1,4,5,6}:{(34,1),(36,1),(98,1),(99,1),(100,1),(120,1),(122,1),(175,1),(188,1),(211,1),(261,1),(270,1),(369,1)}
        63:{3,5,6}:{(34,1),(38,1),(101,1),(193,1),(280,1),(332,1)}
        64:{2,4,5,7}:{(34,1),(39,1),(100,1),(101,1),(102,1),(112,1),(189,1),(203,1),(333,1),(371,1),(386,1)}
        65:{2,3,5,6}:{(35,1),(41,1),(50,1),(91,1),(103,1),(104,1),(105,1),(115,1),(126,1),(179,1),(193,1),(206,1),(208,1),(209,1),(259,1),(273,1),(280,1),(281,1),(291,1),(325,1),(332,1),(338,1),(373,1),(385,1),(387,1)}
        66:{2,4,6}:{(35,1),(36,1),(43,1),(105,1),(106,1)}
        67:{2,5,7}:{(35,1),(37,1),(106,1),(107,1),(285,1)}
        68:{1,3,4,6}:{(36,1),(38,1),(45,1),(99,1),(105,1),(108,1),(109,1),(184,1),(198,1),(270,1),(332,1)}
        69:{1,4,7}:{(36,1),(37,1),(39,1),(106,1),(286,1)}
        70:{1,3,6,7}:{(37,1),(40,1),(47,1),(107,1),(110,1),(200,1),(277,1)}
        71:{3,4,7}:{(38,1),(39,1),(101,1),(386,1)}
        72:{2,4,6,7}:{(39,1),(40,1),(49,1),(110,1),(111,1),(112,1)}
        73:{2,4}:{(41,1),(53,1),(94,1),(113,1)}
        74:{2,3,5,7}:{(41,1),(42,1),(44,1),(54,1),(95,1),(114,1),(115,1),(117,1),(206,1)}
        75:{3,5}:{(43,1),(105,1),(113,1)}
        76:{2,4,5,7}:{(43,1),(44,1),(46,1),(106,1),(114,1),(117,1),(118,1),(201,1),(206,1),(286,1),(288,1)}
        77:{2,6}:{(44,1),(47,1)}
        78:{2,4,5}:{(45,1),(108,1),(116,1),(119,1),(128,1),(181,1),(207,1),(209,1),(259,1)}
        79:{1,4,6}:{(46,1),(47,1),(49,1),(118,1),(120,1)}
        80:{3,4,6}:{(48,1),(49,1),(121,1),(280,1),(341,1)}
        81:{2,5,6}:{(49,1),(112,1),(120,1),(121,1),(206,1)}
        82:{1,4,6}:{(50,1),(53,1),(103,1),(122,1),(124,1),(363,1)}
        83:{1,3,5,7}:{(50,1),(52,1),(104,1),(124,1),(125,1),(127,1),(214,1),(266,1),(324,1)}
        84:{1,3,6}:{(51,1),(55,1),(105,1),(126,1),(127,1),(332,1)}
        85:{1,2,4,7}:{(51,1),(52,1),(106,1),(124,1),(127,1),(202,1),(213,1),(285,1),(333,1)}
        86:{1,2,6,7}:{(52,1),(56,1),(107,1),(125,1),(277,1),(291,1),(337,1),(365,1)}
        87:{1,3,4}:{(53,1),(55,1),(113,1),(128,1),(363,1),(366,1)}
        88:{1,4,7}:{(53,1),(54,1),(114,1),(129,1)}
        89:{1,3,6}:{(54,1),(56,1),(115,1),(129,1)}
        90:{2,3,5}:{(55,1),(126,1),(128,1),(130,1),(207,1),(209,1),(287,1)}
        91:{1,3,5,6}:{(57,1),(58,1),(65,1),(131,1),(132,1),(133,1),(138,1),(170,1),(218,1),(226,1),(251,1),(296,1),(297,1),(319,1),(321,1),(362,1),(382,1)}
        92:{1,2,4,6}:{(57,1),(60,1),(66,1),(131,1),(133,1),(134,1),(154,1),(220,1),(245,1),(305,1)}
        93:{1,2,5,7}:{(57,1),(67,1),(132,1),(134,1),(135,1),(235,1),(257,1),(295,1),(309,1)}
        94:{1,4}:{(58,1),(73,1)}
        95:{1,3,5,7}:{(58,1),(59,1),(61,1),(74,1),(137,1),(138,1),(226,1)}
        96:{1,3,5}:{(60,1),(75,1),(133,1),(136,1),(139,1),(258,1),(350,1)}
        97:{1,2,6}:{(61,1),(77,1),(138,1),(321,1)}
        98:{2,4,5,6}:{(62,1),(66,1),(140,1),(141,1),(142,1),(147,1),(163,1),(229,1),(240,1),(250,1),(353,1),(354,1)}
        99:{1,3,5,6}:{(62,1),(63,1),(68,1),(140,1),(142,1),(143,1),(165,1),(218,1),(253,1),(296,1)}
       100:{1,4,5,7}:{(62,1),(64,1),(69,1),(141,1),(143,1),(144,1),(156,1),(235,1),(306,1),(357,1)}
       101:{3,5,7}:{(63,1),(64,1),(71,1),(145,1),(355,1)}
       102:{2,4,6,7}:{(64,1),(144,1),(145,1),(146,1),(236,1),(237,1),(240,1)}
       103:{2,4,6}:{(65,1),(73,1),(82,1),(131,1),(147,1),(148,1),(149,1),(250,1),(358,1),(390,1)}
       104:{2,3,5,7}:{(65,1),(67,1),(83,1),(132,1),(149,1),(150,1),(152,1),(171,1),(224,1),(239,1),(244,1),(247,1),(252,1),(295,1),(309,1),(355,1),(380,1)}
       105:{3,6}:{(66,1),(75,1),(152,1)}
       106:{2,4,7}:{(66,1),(67,1),(69,1),(152,1)}
       107:{2,6,7}:{(67,1),(70,1),(77,1)}
       108:{2,4,6}:{(68,1),(78,1),(142,1),(151,1),(154,1),(155,1),(245,1)}
       109:{1,3,4,7}:{(68,1),(69,1),(71,1),(143,1),(152,1),(155,1),(230,1),(246,1),(306,1),(355,1)}
       110:{1,4,6,7}:{(69,1),(70,1),(72,1),(79,1),(153,1),(156,1)}
       111:{3,4,6,7}:{(71,1),(72,1),(80,1),(145,1),(157,1),(237,1)}
       112:{2,5,7}:{(72,1),(81,1),(156,1),(157,1)}
       113:{3,4}:{(73,1),(75,1)}
       114:{2,4,7}:{(73,1),(74,1),(88,1),(137,1),(159,1),(160,1)}
       115:{2,3,6}:{(74,1),(77,1),(89,1),(138,1),(160,1),(162,1)}
       116:{2,3,5}:{(75,1),(78,1),(151,1),(158,1),(161,1),(350,1)}
       117:{3,5,7}:{(75,1),(76,1),(152,1),(159,1),(162,1),(249,1)}
       118:{2,4,6}:{(76,1),(77,1),(79,1),(162,1),(163,1),(250,1)}
       119:{1,4,5}:{(78,1),(154,1),(161,1),(172,1),(225,1),(251,1),(294,1)}
       120:{1,5,6}:{(79,1),(81,1),(156,1),(163,1),(173,1),(226,1)}
       121:{3,5,6}:{(80,1),(81,1),(157,1),(164,1),(249,1)}
       122:{1,4,5}:{(82,1),(147,1),(165,1),(173,1),(294,1),(388,1)}
       123:{1,3,4,6}:{(82,1),(84,1),(87,1),(148,1),(165,1),(167,1),(168,1),(253,1)}
       124:{1,4,7}:{(82,1),(83,1),(149,1)}
       125:{1,3,6,7}:{(83,1),(86,1),(89,1),(150,1),(169,1),(253,1),(348,1),(376,1)}
       126:{2,3,6}:{(84,1),(90,1),(167,1),(170,1),(171,1),(245,1)}
       127:{1,3,7}:{(84,1),(85,1),(152,1),(171,1),(355,1)}
       128:{2,4}:{(87,1),(90,1),(172,1)}
       129:{1,4,6}:{(88,1),(89,1),(160,1),(173,1)}
       130:{1,3,5}:{(90,1),(170,1),(172,1),(174,1),(251,1),(258,1)}
       131:{1,4,6}:{(91,1),(94,1),(103,1),(175,1),(177,1),(343,1)}
       132:{1,3,5,7}:{(91,1),(93,1),(104,1),(177,1),(178,1),(180,1),(216,1),(264,1),(290,1)}
       133:{1,3,6}:{(92,1),(96,1),(105,1),(179,1),(180,1),(332,1)}
       134:{1,2,4,7}:{(92,1),(93,1),(106,1),(177,1),(180,1),(202,1),(263,1),(285,1),(333,1)}
       135:{1,2,6,7}:{(93,1),(97,1),(107,1),(178,1),(277,1),(325,1),(337,1),(345,1)}
       136:{1,3,4}:{(94,1),(96,1),(113,1),(181,1),(343,1),(366,1)}
       137:{1,4,7}:{(94,1),(95,1),(114,1),(182,1)}
       138:{1,3,6}:{(95,1),(97,1),(115,1),(182,1)}
       139:{2,3,5}:{(96,1),(179,1),(181,1),(183,1),(207,1),(259,1),(287,1)}
       140:{3,5,6}:{(98,1),(105,1),(184,1),(186,1),(193,1),(280,1)}
       141:{2,4,5,7}:{(98,1),(100,1),(106,1),(186,1),(187,1),(189,1),(201,1),(271,1),(286,1),(335,1),(336,1)}
       142:{2,5,6}:{(99,1),(108,1),(188,1),(189,1),(209,1),(259,1),(291,1),(325,1)}
       143:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(186,1),(189,1),(190,1)}
       144:{1,4,6,7}:{(100,1),(102,1),(187,1),(190,1),(191,1),(211,1),(261,1),(277,1)}
       145:{3,6,7}:{(101,1),(102,1),(280,1)}
       146:{2,5,6,7}:{(102,1),(112,1),(191,1),(192,1),(281,1),(371,1)}
       147:{2,4,5}:{(103,1),(122,1),(175,1),(193,1),(206,1),(209,1),(259,1),(288,1),(387,1),(391,1)}
       148:{3,4,6}:{(103,1),(105,1),(113,1),(193,1),(196,1),(280,1),(332,1),(366,1)}
       149:{2,4,7}:{(103,1),(104,1),(124,1),(177,1),(196,1),(286,1),(386,1)}
       150:{2,3,6,7}:{(104,1),(107,1),(115,1),(125,1),(178,1),(197,1),(200,1),(280,1),(291,1),(325,1),(337,1),(370,1),(373,1)}
       151:{2,3,6}:{(105,1),(108,1),(116,1),(198,1),(199,1),(332,1)}
       152:{3,7}:{(105,1),(106,1)}
       153:{2,4,6,7}:{(106,1),(107,1),(110,1),(118,1),(200,1),(201,1),(286,1)}
       154:{1,4,6}:{(108,1),(119,1),(188,1),(198,1),(202,1)}
       155:{2,4,7}:{(108,1),(109,1),(189,1),(199,1),(202,1),(285,1)}
       156:{1,5,7}:{(110,1),(112,1),(120,1),(201,1)}
       157:{3,5,7}:{(111,1),(112,1),(121,1),(203,1)}
       158:{2,3,4}:{(113,1),(116,1),(128,1),(181,1),(204,1),(287,1),(366,1)}
       159:{3,4,7}:{(113,1),(114,1),(117,1),(205,1),(286,1)}
       160:{2,4,6}:{(114,1),(115,1),(129,1),(182,1),(205,1),(206,1)}
       161:{1,3,5}:{(116,1),(119,1),(198,1),(204,1),(207,1)}
       162:{3,6}:{(117,1),(118,1)}
       163:{2,5,6}:{(118,1),(120,1),(201,1),(206,1),(208,1)}
       164:{4,5,6}:{(121,1),(203,1),(288,1),(341,1)}
       165:{1,3,5}:{(122,1),(123,1),(193,1),(209,1)}
       166:{1,4,5,7}:{(122,1),(124,1),(194,1),(210,1),(211,1),(214,1),(324,1)}
       167:{2,4,6}:{(123,1),(126,1),(128,1),(209,1),(212,1),(213,1),(291,1)}
       168:{1,3,4,7}:{(123,1),(124,1),(127,1),(196,1),(210,1),(213,1)}
       169:{1,4,6,7}:{(124,1),(125,1),(129,1),(197,1),(211,1),(214,1),(383,1)}
       170:{1,3,6}:{(126,1),(130,1),(212,1),(215,1),(216,1)}
       171:{2,3,7}:{(126,1),(127,1),(213,1),(216,1),(285,1)}
       172:{1,4}:{(128,1),(130,1)}
       173:{1,5}:{(129,1),(206,1)}
       174:{1,2,5}:{(130,1),(207,1),(215,1),(217,1)}
       175:{1,4,5}:{(131,1),(147,1),(218,1),(226,1),(251,1),(382,1)}
       176:{1,3,4,6}:{(131,1),(133,1),(136,1),(148,1),(218,1),(220,1),(221,1),(296,1)}
       177:{1,4,7}:{(131,1),(132,1),(149,1)}
       178:{1,3,6,7}:{(132,1),(135,1),(138,1),(150,1),(222,1),(296,1),(321,1),(362,1)}
       179:{2,3,6}:{(133,1),(139,1),(220,1),(223,1),(224,1),(245,1)}
       180:{1,3,7}:{(133,1),(134,1),(152,1),(224,1),(355,1)}
       181:{2,4}:{(136,1),(139,1),(225,1)}
       182:{1,4,6}:{(137,1),(138,1),(160,1),(226,1)}
       183:{1,3,5}:{(139,1),(223,1),(225,1),(227,1),(294,1),(301,1)}
       184:{3,4,6}:{(140,1),(228,1),(229,1),(230,1),(250,1)}
       185:{2,3,5,6}:{(140,1),(142,1),(151,1),(229,1),(231,1),(232,1),(238,1),(314,1),(353,1)}
       186:{3,5,7}:{(140,1),(141,1),(152,1),(230,1),(233,1)}
       187:{2,4,6,7}:{(141,1),(144,1),(233,1),(234,1),(236,1),(240,1),(311,1)}
       188:{1,5,6}:{(142,1),(154,1),(235,1),(251,1),(294,1),(321,1),(348,1)}
       189:{2,5,7}:{(142,1),(143,1),(155,1),(235,1),(236,1)}
       190:{1,3,6,7}:{(143,1),(144,1),(145,1),(233,1),(236,1),(253,1),(296,1)}
       191:{1,5,6,7}:{(144,1),(146,1),(156,1),(234,1),(254,1),(297,1),(357,1)}
       192:{3,5,6,7}:{(145,1),(146,1),(157,1),(237,1),(315,1),(380,1)}
       193:{3,5}:{(147,1),(148,1)}
       194:{2,4,5,7}:{(147,1),(149,1),(166,1),(219,1),(239,1),(240,1),(244,1),(252,1),(295,1),(318,1)}
       195:{2,3,4,6}:{(148,1),(151,1),(158,1),(167,1),(220,1),(229,1),(238,1),(241,1),(242,1),(314,1),(316,1),(358,1),(381,1)}
       196:{3,4,7}:{(148,1),(149,1),(152,1),(239,1),(355,1)}
       197:{2,4,6,7}:{(149,1),(150,1),(160,1),(169,1),(222,1),(240,1),(243,1),(244,1),(381,1)}
       198:{1,3,6}:{(151,1),(154,1),(161,1),(245,1),(246,1)}
       199:{2,3,7}:{(151,1),(152,1),(155,1),(246,1),(355,1)}
       200:{3,6,7}:{(152,1),(153,1),(162,1),(247,1)}
       201:{2,5,7}:{(153,1),(156,1),(163,1),(247,1)}
       202:{1,4,7}:{(154,1),(155,1),(235,1),(246,1)}
       203:{4,5,7}:{(157,1),(164,1),(237,1)}
       204:{1,3,4}:{(158,1),(161,1),(172,1),(225,1),(248,1),(258,1),(301,1)}
       205:{3,4,6}:{(159,1),(160,1),(162,1),(249,1),(250,1)}
       206:{2,5}:{(160,1),(173,1),(226,1),(249,1)}
       207:{2,5}:{(161,1),(245,1),(248,1)}
       208:{3,5,6}:{(162,1),(163,1),(247,1),(249,1),(250,1)}
       209:{2,5}:{(165,1),(167,1),(251,1)}
       210:{1,3,5,7}:{(165,1),(166,1),(168,1),(239,1),(252,1),(253,1)}
       211:{1,4,6}:{(166,1),(240,1),(253,1),(254,1),(348,1)}
       212:{1,4,6}:{(167,1),(170,1),(172,1),(251,1),(256,1),(321,1)}
       213:{2,4,7}:{(167,1),(168,1),(171,1),(252,1),(256,1)}
       214:{1,5,7}:{(169,1),(173,1),(244,1),(254,1),(388,1)}
       215:{1,2,6}:{(170,1),(174,1),(245,1),(257,1)}
       216:{1,3,7}:{(170,1),(171,1),(256,1),(257,1)}
       217:{1,2,4}:{(172,1),(174,1),(248,1),(258,1)}
       218:{1,3,5}:{(175,1),(176,1),(193,1),(259,1)}
       219:{1,4,5,7}:{(175,1),(177,1),(194,1),(260,1),(261,1),(264,1),(290,1)}
       220:{2,4,6}:{(176,1),(179,1),(181,1),(259,1),(262,1),(263,1),(325,1)}
       221:{1,3,4,7}:{(176,1),(177,1),(180,1),(196,1),(260,1),(263,1)}
       222:{1,4,6,7}:{(177,1),(178,1),(182,1),(197,1),(261,1),(264,1),(374,1)}
       223:{1,3,6}:{(179,1),(183,1),(262,1),(265,1),(266,1)}
       224:{2,3,7}:{(179,1),(180,1),(263,1),(266,1),(285,1)}
       225:{1,4}:{(181,1),(183,1)}
       226:{1,5}:{(182,1),(206,1)}
       227:{1,2,5}:{(183,1),(207,1),(265,1),(267,1)}
       228:{3,4,5}:{(184,1),(193,1),(268,1),(288,1),(366,1)}
       229:{2,4,6}:{(184,1),(185,1),(268,1),(270,1),(271,1)}
       230:{3,4,7}:{(184,1),(186,1),(271,1),(286,1)}
       231:{1,3,5,6}:{(185,1),(188,1),(198,1),(270,1),(273,1),(274,1),(278,1),(332,1),(340,1),(369,1),(385,1)}
       232:{2,3,5,7}:{(185,1),(186,1),(189,1),(199,1),(271,1),(274,1),(275,1),(335,1)}
       233:{3,6,7}:{(186,1),(187,1),(280,1)}
       234:{2,5,6,7}:{(187,1),(191,1),(201,1),(276,1),(281,1),(335,1)}
       235:{1,5,7}:{(188,1),(189,1),(202,1),(277,1)}
       236:{2,6,7}:{(189,1),(190,1),(277,1),(291,1),(325,1)}
       237:{4,6,7}:{(192,1),(203,1),(341,1),(386,1)}
       238:{2,3,5}:{(193,1),(195,1),(209,1),(259,1),(268,1),(278,1),(387,1)}
       239:{3,5,7}:{(193,1),(194,1),(196,1),(280,1)}
       240:{2,4,6}:{(194,1),(211,1),(261,1),(280,1),(281,1),(291,1),(325,1),(341,1)}
       241:{1,3,4,6}:{(195,1),(198,1),(204,1),(212,1),(262,1),(270,1),(278,1),(282,1),(283,1),(292,1),(326,1),(332,1),(340,1),(343,1),(363,1),(366,1),(374,1),(383,1),(384,1)}
       242:{2,3,4,7}:{(195,1),(196,1),(199,1),(213,1),(263,1),(271,1),(279,1),(283,1),(342,1),(372,1)}
       243:{3,4,6,7}:{(196,1),(197,1),(200,1),(205,1),(280,1),(284,1),(286,1),(341,1),(370,1),(384,1),(386,1)}
       244:{2,5,7}:{(197,1),(206,1),(214,1),(264,1),(281,1),(284,1),(387,1)}
       245:{2,6}:{(198,1),(207,1),(285,1)}
       246:{1,3,7}:{(198,1),(199,1),(202,1),(285,1)}
       247:{3,5,7}:{(200,1),(201,1),(208,1),(286,1)}
       248:{2,4}:{(204,1),(207,1),(287,1)}
       249:{3,5}:{(205,1),(206,1),(288,1)}
       250:{4,6}:{(208,1),(286,1),(288,1)}
       251:{1,5}:{(209,1),(212,1)}
       252:{2,5,7}:{(209,1),(210,1),(213,1),(290,1),(291,1)}
       253:{1,3,6}:{(210,1),(211,1),(280,1),(291,1)}
       254:{1,5,6}:{(211,1),(214,1),(281,1)}
       255:{1,2,4,6}:{(212,1),(215,1),(217,1),(282,1),(289,1),(292,1),(293,1),(343,1),(345,1),(374,1)}
       256:{1,4,7}:{(212,1),(213,1),(216,1),(290,1)}
       257:{1,2,7}:{(215,1),(216,1),(285,1)}
       258:{1,3}:{(217,1),(287,1)}
       259:{2,5}:{(218,1),(220,1),(294,1)}
       260:{1,3,5,7}:{(218,1),(219,1),(221,1),(239,1),(295,1),(296,1)}
       261:{1,4,6}:{(219,1),(240,1),(296,1),(297,1),(321,1)}
       262:{1,4,6}:{(220,1),(223,1),(225,1),(294,1),(299,1),(348,1)}
       263:{2,4,7}:{(220,1),(221,1),(224,1),(295,1),(299,1)}
       264:{1,5,7}:{(222,1),(226,1),(244,1),(297,1),(382,1)}
       265:{1,2,6}:{(223,1),(227,1),(245,1),(300,1)}
       266:{1,3,7}:{(223,1),(224,1),(299,1),(300,1)}
       267:{1,2,4}:{(225,1),(227,1),(248,1),(301,1)}
       268:{2,4,5}:{(228,1),(229,1),(238,1),(302,1),(358,1)}
       269:{3,4,5,7}:{(228,1),(230,1),(239,1),(303,1),(304,1),(308,1),(318,1),(377,1),(389,1)}
       270:{1,4,6}:{(229,1),(231,1),(302,1),(305,1),(306,1),(390,1)}
       271:{2,4,7}:{(229,1),(230,1),(232,1),(306,1)}
       272:{3,4,6,7}:{(230,1),(233,1),(304,1),(307,1),(308,1),(311,1)}
       273:{2,5,6}:{(231,1),(245,1),(305,1),(309,1),(312,1),(360,1)}
       274:{1,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(306,1),(309,1),(310,1),(355,1),(357,1),(380,1)}
       275:{2,3,6,7}:{(232,1),(233,1),(236,1),(307,1),(310,1),(314,1)}
       276:{3,5,6,7}:{(233,1),(234,1),(247,1),(308,1),(311,1),(315,1)}
       277:{1,6,7}:{(235,1),(236,1),(321,1),(348,1)}
       278:{1,3,5}:{(238,1),(241,1),(251,1),(294,1),(302,1),(312,1),(350,1),(382,1),(388,1),(389,1)}
       279:{2,3,5,7}:{(238,1),(239,1),(242,1),(252,1),(295,1),(303,1),(313,1),(314,1)}
       280:{3,6}:{(239,1),(240,1)}
       281:{2,5,6}:{(240,1),(244,1),(254,1),(297,1),(315,1)}
       282:{2,4,6}:{(241,1),(245,1),(248,1),(312,1),(316,1),(317,1),(358,1),(360,1)}
       283:{1,3,4,7}:{(241,1),(242,1),(246,1),(256,1),(299,1),(306,1),(313,1),(317,1),(322,1),(349,1),(355,1),(361,1),(375,1),(377,1)}
       284:{3,5,7}:{(243,1),(244,1),(249,1),(315,1),(318,1),(389,1)}
       285:{2,7}:{(245,1),(246,1)}
       286:{4,7}:{(247,1),(250,1)}
       287:{2,3}:{(248,1),(258,1),(301,1)}
       288:{4,5}:{(249,1),(250,1)}
       289:{1,2,5}:{(251,1),(255,1),(312,1),(319,1),(382,1)}
       290:{1,5,7}:{(251,1),(252,1),(256,1),(321,1)}
       291:{2,6}:{(252,1),(253,1),(321,1)}
       292:{1,3,6}:{(255,1),(258,1),(316,1),(319,1),(322,1)}
       293:{1,2,4,7}:{(255,1),(256,1),(257,1),(317,1),(320,1),(322,1),(361,1)}
       294:{1,5}:{(259,1),(262,1)}
       295:{2,5,7}:{(259,1),(260,1),(263,1),(324,1),(325,1)}
       296:{1,3,6}:{(260,1),(261,1),(280,1),(325,1)}
       297:{1,5,6}:{(261,1),(264,1),(281,1)}
       298:{1,2,4,6}:{(262,1),(265,1),(267,1),(282,1),(323,1),(326,1),(327,1),(363,1),(365,1),(383,1)}
       299:{1,4,7}:{(262,1),(263,1),(266,1),(324,1)}
       300:{1,2,7}:{(265,1),(266,1),(285,1)}
       301:{1,3}:{(267,1),(287,1)}
       302:{1,4,5}:{(268,1),(270,1),(278,1),(328,1),(343,1),(363,1),(391,1)}
       303:{2,4,5,7}:{(268,1),(269,1),(271,1),(279,1),(329,1),(330,1),(335,1),(372,1),(387,1)}
       304:{3,4,6}:{(269,1),(280,1),(330,1),(331,1),(341,1)}
       305:{2,4,6}:{(270,1),(273,1),(328,1),(332,1),(333,1)}
       306:{1,4,7}:{(270,1),(271,1),(274,1),(333,1),(386,1)}
       307:{2,4,6,7}:{(271,1),(272,1),(275,1),(330,1),(334,1),(335,1)}
       308:{3,5,7}:{(272,1),(331,1),(335,1),(336,1)}
       309:{2,5,7}:{(273,1),(274,1),(285,1),(333,1),(337,1)}
       310:{1,3,6,7}:{(274,1),(275,1),(277,1),(334,1),(337,1),(340,1),(370,1)}
       311:{4,6,7}:{(276,1),(286,1),(336,1),(341,1)}
       312:{2,5}:{(278,1),(282,1)}
       313:{1,3,5,7}:{(278,1),(279,1),(283,1),(290,1),(324,1),(329,1),(339,1),(340,1),(367,1)}
       314:{2,3,6}:{(279,1),(280,1),(291,1),(325,1),(330,1),(340,1)}
       315:{3,5,6}:{(280,1),(281,1),(284,1),(341,1)}
       316:{2,3,6}:{(282,1),(287,1),(292,1),(326,1),(332,1),(338,1),(342,1)}
       317:{2,4,7}:{(282,1),(283,1),(285,1),(339,1),(342,1)}
       318:{4,5,7}:{(284,1),(286,1),(288,1),(341,1),(386,1),(391,1)}
       319:{1,3,5}:{(289,1),(292,1),(338,1),(343,1)}
       320:{1,2,5,7}:{(289,1),(290,1),(293,1),(339,1),(344,1),(345,1)}
       321:{1,6}:{(290,1),(291,1)}
       322:{1,3,7}:{(292,1),(293,1),(342,1)}
       323:{1,2,5}:{(294,1),(298,1),(312,1),(346,1),(388,1)}
       324:{1,5,7}:{(294,1),(295,1),(299,1),(348,1)}
       325:{2,6}:{(295,1),(296,1),(348,1)}
       326:{1,3,6}:{(298,1),(301,1),(316,1),(346,1),(349,1)}
       327:{1,2,4,7}:{(298,1),(299,1),(300,1),(317,1),(347,1),(349,1),(375,1)}
       328:{2,4,5}:{(302,1),(305,1),(312,1),(350,1),(358,1)}
       329:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(351,1),(352,1),(357,1),(361,1),(375,1),(382,1),(388,1)}
       330:{2,4,6}:{(303,1),(304,1),(314,1),(352,1),(353,1)}
       331:{3,5,6}:{(304,1),(308,1),(353,1),(354,1),(389,1)}
       332:{3,6}:{(305,1),(350,1),(355,1)}
       333:{2,4,7}:{(305,1),(306,1),(309,1),(355,1)}
       334:{1,4,6,7}:{(306,1),(307,1),(310,1),(352,1),(356,1),(357,1)}
       335:{2,5,7}:{(307,1),(308,1),(353,1),(357,1)}
       336:{4,5,7}:{(308,1),(311,1),(354,1)}
       337:{2,6,7}:{(309,1),(310,1),(360,1)}
       338:{2,3,5}:{(312,1),(316,1),(319,1),(346,1),(350,1),(358,1)}
       339:{2,5,7}:{(312,1),(313,1),(317,1),(360,1)}
       340:{1,3,6}:{(313,1),(314,1),(321,1),(348,1),(352,1),(360,1),(378,1)}
       341:{4,6}:{(315,1),(318,1)}
       342:{2,3,7}:{(316,1),(317,1),(322,1),(349,1),(355,1)}
       343:{1,4}:{(319,1),(358,1)}
       344:{1,3,5,7}:{(319,1),(320,1),(322,1),(359,1),(361,1),(362,1),(382,1)}
       345:{1,2,6}:{(320,1),(321,1),(360,1),(362,1)}
       346:{1,3,5}:{(323,1),(326,1),(338,1),(363,1)}
       347:{1,2,5,7}:{(323,1),(324,1),(327,1),(339,1),(364,1),(365,1)}
       348:{1,6}:{(324,1),(325,1)}
       349:{1,3,7}:{(326,1),(327,1),(342,1)}
       350:{3,5}:{(328,1),(332,1),(366,1)}
       351:{2,4,5,7}:{(328,1),(329,1),(333,1),(339,1),(367,1),(368,1),(371,1),(372,1),(386,1),(387,1),(391,1)}
       352:{1,4,6}:{(329,1),(330,1),(340,1),(368,1),(369,1)}
       353:{2,5,6}:{(330,1),(331,1),(335,1),(369,1),(387,1)}
       354:{4,5,6}:{(331,1),(336,1),(341,1),(391,1)}
       355:{3,7}:{(332,1),(333,1)}
       356:{2,4,6,7}:{(333,1),(334,1),(337,1),(368,1),(370,1),(371,1),(386,1)}
       357:{1,5,7}:{(334,1),(335,1),(369,1),(371,1)}
       358:{2,4}:{(338,1),(343,1),(363,1),(366,1)}
       359:{2,3,5,7}:{(338,1),(339,1),(342,1),(344,1),(364,1),(367,1),(372,1),(373,1),(387,1)}
       360:{2,6}:{(339,1),(340,1)}
       361:{1,4,7}:{(343,1),(344,1),(372,1),(374,1)}
       362:{1,3,6}:{(344,1),(345,1),(373,1),(374,1)}
       363:{1,4}:{(346,1),(358,1)}
       364:{1,3,5,7}:{(346,1),(347,1),(349,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,2,6}:{(347,1),(348,1),(360,1),(376,1)}
       366:{3,4}:{(350,1),(358,1)}
       367:{3,5,7}:{(350,1),(351,1),(355,1),(377,1),(378,1),(389,1)}
       368:{2,4,6}:{(351,1),(352,1),(360,1),(378,1),(379,1),(390,1)}
       369:{1,5,6}:{(352,1),(353,1),(357,1),(379,1),(382,1),(388,1)}
       370:{3,6,7}:{(355,1),(356,1),(378,1),(380,1)}
       371:{2,5,7}:{(356,1),(357,1),(379,1),(380,1)}
       372:{2,4,7}:{(358,1),(359,1),(361,1),(375,1),(377,1),(381,1)}
       373:{2,3,6}:{(359,1),(360,1),(362,1),(376,1),(378,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,4,7}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,3,6}:{(364,1),(365,1),(373,1),(383,1)}
       377:{3,4,7}:{(366,1),(367,1),(372,1),(384,1),(386,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{2,5,6}:{(368,1),(369,1),(371,1),(385,1),(387,1)}
       380:{3,5,7}:{(370,1),(371,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(384,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,4,6}:{(377,1),(378,1),(381,1),(389,1),(390,1)}
       385:{3,5,6}:{(378,1),(379,1),(380,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(389,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{3,5}:{(384,1),(387,1),(391,1)}
       390:{4,6}:{(385,1),(386,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 650 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(70,1),(76,1),(219,1),(221,1),(229,1),(272,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(40,1),(51,1),(94,1),(111,1),(168,1),(244,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(52,1),(88,1),(94,1),(109,1),(182,1),(259,1),(265,1),(303,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(104,1),(112,1),(181,1),(183,1),(186,1),(192,1),(238,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(52,1),(303,1),(305,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(28,1),(66,1),(70,1),(76,1),(141,1)}
         7:{3,4,6}:{(1,1),(18,1),(20,1),(277,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(17,1),(21,1),(22,1),(27,1),(62,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(18,1),(22,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(21,1),(25,1),(26,1),(293,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(22,1),(26,1),(27,1),(31,1),(60,1),(75,1),(81,1),(86,1),(123,1),(128,1),(130,1),(145,1),(148,1),(222,1),(224,1),(230,1),(273,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(141,1),(218,1),(228,1),(271,1)}
        13:{1,2,5,7}:{(5,1),(21,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(81,1),(86,1),(273,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(88,1),(265,1),(267,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(36,1),(37,1),(50,1),(52,1),(88,1),(98,1),(109,1),(116,1),(160,1)}
        18:{2,4,6}:{(6,1),(7,1),(9,1),(37,1),(39,1)}
        19:{3,4,6,7}:{(7,1),(38,1),(40,1),(103,1),(111,1),(177,1)}
        20:{3,5,6}:{(7,1),(39,1),(40,1),(41,1),(168,1)}
        21:{2,5,7}:{(8,1),(10,1),(43,1),(49,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(43,1),(95,1),(322,1),(347,1)}
        23:{2,3,6,7}:{(9,1),(38,1),(44,1),(46,1),(177,1),(252,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(39,1),(45,1),(46,1),(47,1),(102,1),(176,1),(183,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(182,1)}
        26:{2,4,6}:{(10,1),(11,1),(43,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(116,1),(160,1),(168,1),(264,1),(302,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(42,1),(52,1),(53,1),(56,1),(116,1)}
        30:{1,2,6}:{(13,1),(43,1),(53,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(116,1),(302,1)}
        33:{1,2,5,7}:{(16,1),(21,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(123,1),(128,1),(230,1),(232,1),(233,1)}
        36:{2,4,5,7}:{(17,1),(21,1),(62,1),(63,1),(70,1),(79,1),(133,1),(141,1),(144,1),(206,1),(208,1)}
        37:{1,4,6}:{(17,1),(18,1),(22,1),(63,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(19,1),(23,1),(64,1),(66,1),(76,1)}
        39:{2,5,6}:{(18,1),(20,1),(65,1),(66,1),(141,1)}
        40:{3,5,7}:{(19,1),(20,1),(66,1),(69,1)}
        41:{4,5,6}:{(20,1),(69,1),(206,1),(277,1)}
        42:{2,3,5,7}:{(21,1),(25,1),(29,1),(58,1),(62,1),(70,1),(71,1),(78,1),(141,1)}
        43:{2,6}:{(21,1),(22,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(64,1),(72,1),(74,1),(131,1),(287,1)}
        45:{1,3,5,6}:{(22,1),(24,1),(27,1),(65,1),(73,1),(74,1),(75,1),(132,1),(145,1),(215,1),(222,1)}
        46:{2,3,5,7}:{(23,1),(24,1),(66,1),(74,1),(76,1),(139,1),(214,1),(221,1)}
        47:{2,4,6}:{(24,1),(28,1),(75,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(145,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(75,1),(79,1),(86,1),(128,1),(206,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(218,1),(391,1)}
        52:{1,4,7}:{(29,1),(70,1),(81,1),(86,1)}
        53:{1,3,6}:{(29,1),(30,1),(71,1),(81,1)}
        54:{1,2,6,7}:{(30,1),(72,1),(82,1),(84,1),(287,1),(295,1),(339,1),(363,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(73,1),(83,1),(84,1),(85,1),(215,1),(228,1),(275,1),(286,1),(295,1),(328,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(152,1),(157,1),(225,1),(228,1),(276,1),(328,1),(334,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(42,1),(88,1),(89,1),(92,1),(160,1)}
        59:{1,2,6}:{(33,1),(43,1),(89,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(160,1),(264,1)}
        62:{3,5,7}:{(36,1),(94,1),(95,1),(113,1),(168,1),(182,1)}
        63:{2,4,6}:{(36,1),(37,1),(43,1),(95,1),(97,1),(170,1)}
        64:{1,4,6,7}:{(37,1),(38,1),(44,1),(96,1),(98,1),(109,1)}
        65:{1,5,6}:{(37,1),(39,1),(97,1),(98,1),(116,1),(160,1)}
        66:{2,5,7}:{(38,1),(39,1),(40,1),(98,1)}
        67:{2,4,5,6}:{(39,1),(41,1),(47,1),(99,1),(101,1),(102,1),(176,1),(179,1),(254,1),(314,1),(377,1),(389,1)}
        68:{3,5,6,7}:{(40,1),(100,1),(103,1),(177,1),(243,1),(380,1)}
        69:{4,5,7}:{(40,1),(41,1),(103,1)}
        70:{2,4,7}:{(42,1),(52,1),(88,1),(94,1),(104,1),(112,1)}
        71:{2,3,6}:{(42,1),(43,1),(53,1),(89,1),(95,1),(104,1)}
        72:{2,6,7}:{(43,1),(44,1),(107,1)}
        73:{2,5,6}:{(43,1),(45,1),(49,1),(107,1),(108,1),(260,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(98,1),(107,1),(109,1),(169,1),(182,1),(253,1),(259,1)}
        75:{1,4,6}:{(45,1),(47,1),(50,1),(108,1),(109,1),(170,1)}
        76:{2,4,7}:{(46,1),(47,1),(109,1),(111,1)}
        77:{3,4,6}:{(47,1),(51,1),(102,1),(111,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(108,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(110,1),(113,1),(114,1),(121,1),(165,1),(187,1),(190,1),(236,1),(245,1),(310,1),(354,1)}
        81:{1,4,6}:{(52,1),(53,1),(104,1),(116,1)}
        82:{1,3,6,7}:{(53,1),(54,1),(105,1),(115,1),(117,1),(262,1),(347,1),(375,1)}
        83:{1,3,5,6}:{(53,1),(55,1),(56,1),(106,1),(116,1),(117,1),(118,1),(120,1),(188,1),(190,1),(240,1),(262,1),(302,1),(347,1),(349,1),(375,1),(388,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(107,1),(117,1),(119,1),(253,1),(263,1),(305,1),(316,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(108,1),(118,1),(119,1),(120,1),(185,1),(192,1),(260,1),(314,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(354,1)}
        88:{1,4,7}:{(58,1),(70,1),(123,1),(128,1)}
        89:{1,3,6}:{(58,1),(59,1),(71,1),(123,1)}
        90:{1,2,6,7}:{(59,1),(72,1),(124,1),(126,1),(287,1),(326,1),(339,1),(344,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(73,1),(125,1),(126,1),(127,1),(215,1),(232,1),(271,1),(286,1),(297,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(198,1),(203,1),(225,1),(233,1),(271,1),(297,1),(334,1),(346,1)}
        94:{3,4,7}:{(62,1),(70,1),(130,1),(148,1),(208,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,4,6,7}:{(63,1),(64,1),(72,1),(131,1),(133,1),(144,1),(208,1)}
        97:{2,5,6}:{(63,1),(65,1),(132,1),(133,1),(141,1)}
        98:{1,5,7}:{(64,1),(65,1),(66,1),(133,1)}
        99:{1,4,5,6}:{(65,1),(67,1),(75,1),(134,1),(136,1),(137,1),(152,1),(198,1),(215,1),(226,1),(269,1),(283,1),(366,1)}
       100:{2,5,6,7}:{(66,1),(68,1),(135,1),(138,1),(216,1),(370,1)}
       101:{2,4,5,7}:{(66,1),(67,1),(69,1),(76,1),(136,1),(138,1),(139,1),(214,1),(337,1),(370,1),(386,1)}
       102:{3,5,6}:{(67,1),(77,1),(139,1),(218,1),(288,1),(338,1)}
       103:{4,6,7}:{(68,1),(69,1),(277,1),(386,1)}
       104:{2,4,6}:{(70,1),(71,1),(81,1),(123,1),(130,1),(141,1)}
       105:{2,3,6,7}:{(71,1),(72,1),(82,1),(124,1),(131,1),(140,1),(142,1),(288,1),(295,1),(326,1),(339,1),(371,1),(372,1)}
       106:{2,3,5,6}:{(71,1),(73,1),(78,1),(83,1),(125,1),(132,1),(141,1),(142,1),(143,1),(145,1),(156,1),(202,1),(216,1),(218,1),(228,1),(271,1),(286,1),(288,1),(295,1),(326,1),(338,1),(342,1),(372,1),(384,1),(387,1)}
       107:{2,5,7}:{(72,1),(73,1),(74,1),(144,1),(293,1)}
       108:{2,4,6}:{(73,1),(75,1),(79,1),(144,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(76,1),(144,1),(208,1)}
       110:{1,3,4,6}:{(75,1),(77,1),(80,1),(137,1),(145,1),(146,1),(147,1),(209,1),(222,1),(283,1),(338,1)}
       111:{3,4,7}:{(76,1),(77,1),(139,1),(386,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(145,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(228,1),(271,1)}
       115:{1,4,6,7}:{(81,1),(82,1),(140,1),(151,1),(153,1),(226,1),(383,1)}
       116:{1,5}:{(81,1),(141,1)}
       117:{1,3,5,7}:{(82,1),(83,1),(84,1),(142,1),(151,1),(153,1),(155,1),(274,1),(327,1)}
       118:{1,4,6}:{(83,1),(86,1),(143,1),(152,1),(153,1),(365,1)}
       119:{1,2,4,7}:{(84,1),(85,1),(144,1),(153,1),(155,1),(223,1),(229,1),(293,1),(337,1)}
       120:{1,3,6}:{(85,1),(87,1),(145,1),(155,1),(156,1),(338,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(369,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(228,1),(294,1)}
       123:{1,4,6}:{(88,1),(89,1),(104,1),(160,1)}
       124:{1,3,6,7}:{(89,1),(90,1),(105,1),(159,1),(161,1),(300,1),(322,1),(361,1)}
       125:{1,3,5,6}:{(89,1),(91,1),(92,1),(106,1),(160,1),(161,1),(162,1),(164,1),(194,1),(234,1),(236,1),(264,1),(300,1),(322,1),(324,1),(361,1),(382,1)}
       126:{1,2,5,7}:{(90,1),(91,1),(107,1),(161,1),(163,1),(253,1),(267,1),(301,1),(316,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(108,1),(162,1),(163,1),(164,1),(185,1),(238,1),(260,1),(314,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(354,1)}
       130:{3,4,6}:{(94,1),(95,1),(104,1),(168,1),(170,1)}
       131:{3,6,7}:{(95,1),(96,1),(169,1),(182,1)}
       132:{3,5,6}:{(95,1),(97,1),(168,1),(169,1),(170,1)}
       133:{2,5,7}:{(96,1),(97,1),(98,1),(169,1)}
       134:{2,4,5,6}:{(97,1),(99,1),(108,1),(170,1),(172,1),(173,1),(176,1),(179,1),(248,1),(254,1),(307,1),(351,1)}
       135:{1,5,6,7}:{(98,1),(100,1),(171,1),(174,1),(188,1),(234,1),(355,1)}
       136:{1,4,5,7}:{(98,1),(99,1),(101,1),(109,1),(172,1),(174,1),(175,1),(253,1),(313,1),(355,1)}
       137:{1,3,5,6}:{(99,1),(102,1),(110,1),(173,1),(175,1),(176,1),(190,1),(236,1),(262,1),(300,1)}
       138:{2,4,6,7}:{(100,1),(101,1),(103,1),(174,1),(177,1),(252,1),(254,1)}
       139:{3,5,7}:{(101,1),(102,1),(111,1),(177,1),(357,1)}
       140:{2,4,6,7}:{(104,1),(105,1),(115,1),(159,1),(167,1),(178,1),(180,1),(254,1),(381,1)}
       141:{2,5}:{(104,1),(116,1),(160,1),(168,1)}
       142:{2,3,5,7}:{(105,1),(106,1),(107,1),(117,1),(161,1),(169,1),(178,1),(180,1),(182,1),(193,1),(239,1),(255,1),(263,1),(301,1),(316,1),(357,1),(380,1)}
       143:{2,4,6}:{(106,1),(112,1),(118,1),(162,1),(170,1),(179,1),(180,1),(181,1),(360,1),(389,1)}
       144:{2,4,7}:{(107,1),(108,1),(109,1),(182,1)}
       145:{3,6}:{(108,1),(113,1),(182,1)}
       146:{1,3,4,7}:{(109,1),(110,1),(111,1),(175,1),(182,1),(184,1),(247,1),(259,1),(313,1),(357,1)}
       147:{2,4,6}:{(110,1),(114,1),(176,1),(183,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(183,1),(186,1),(187,1),(354,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(264,1),(302,1)}
       151:{1,5,7}:{(115,1),(116,1),(178,1),(188,1),(388,1)}
       152:{1,4,5}:{(116,1),(118,1),(179,1),(190,1),(302,1),(388,1)}
       153:{1,4,7}:{(117,1),(118,1),(180,1)}
       154:{1,3,4,6}:{(118,1),(120,1),(121,1),(181,1),(190,1),(191,1),(192,1),(262,1)}
       155:{1,3,7}:{(119,1),(120,1),(182,1),(193,1),(357,1)}
       156:{2,3,6}:{(120,1),(122,1),(192,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(264,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(124,1),(140,1),(197,1),(199,1),(269,1),(374,1)}
       160:{1,5}:{(123,1),(141,1)}
       161:{1,3,5,7}:{(124,1),(125,1),(126,1),(142,1),(197,1),(199,1),(201,1),(231,1),(296,1)}
       162:{1,4,6}:{(125,1),(128,1),(143,1),(198,1),(199,1),(346,1)}
       163:{1,2,4,7}:{(126,1),(127,1),(144,1),(199,1),(201,1),(223,1),(272,1),(293,1),(337,1)}
       164:{1,3,6}:{(127,1),(129,1),(145,1),(201,1),(202,1),(338,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(369,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(271,1),(294,1)}
       167:{3,4,6,7}:{(130,1),(131,1),(140,1),(205,1),(208,1),(219,1),(277,1),(288,1),(371,1),(385,1),(386,1)}
       168:{3,5}:{(130,1),(141,1),(206,1)}
       169:{3,5,7}:{(131,1),(132,1),(133,1),(208,1)}
       170:{4,6}:{(132,1),(206,1),(208,1)}
       171:{2,5,6,7}:{(133,1),(135,1),(207,1),(210,1),(216,1),(335,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(136,1),(144,1),(208,1),(210,1),(211,1),(214,1),(280,1),(282,1),(335,1)}
       173:{3,5,6}:{(134,1),(145,1),(209,1),(211,1),(218,1),(288,1)}
       174:{1,4,6,7}:{(135,1),(136,1),(138,1),(210,1),(213,1),(226,1),(269,1),(287,1)}
       175:{1,3,5,7}:{(136,1),(137,1),(139,1),(146,1),(211,1),(213,1),(214,1)}
       176:{2,5,6}:{(137,1),(147,1),(214,1),(215,1),(228,1),(271,1),(295,1),(326,1)}
       177:{3,6,7}:{(138,1),(139,1),(288,1)}
       178:{2,5,7}:{(140,1),(141,1),(151,1),(197,1),(205,1),(216,1),(387,1)}
       179:{2,4,5}:{(141,1),(143,1),(152,1),(198,1),(206,1),(218,1),(228,1),(271,1),(387,1),(391,1)}
       180:{2,4,7}:{(142,1),(143,1),(153,1),(199,1),(208,1),(219,1),(386,1)}
       181:{3,4,6}:{(143,1),(145,1),(148,1),(218,1),(219,1),(288,1),(338,1),(369,1)}
       182:{3,7}:{(144,1),(145,1)}
       183:{2,3,6}:{(145,1),(147,1),(149,1),(221,1),(222,1),(338,1)}
       184:{2,4,7}:{(146,1),(147,1),(214,1),(221,1),(223,1),(293,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(222,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(369,1)}
       187:{1,3,5}:{(149,1),(150,1),(222,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,5}:{(152,1),(154,1),(218,1),(228,1)}
       191:{1,3,4,7}:{(153,1),(154,1),(155,1),(219,1),(227,1),(229,1)}
       192:{2,4,6}:{(154,1),(156,1),(157,1),(228,1),(229,1),(230,1),(295,1)}
       193:{2,3,7}:{(155,1),(156,1),(229,1),(231,1),(293,1)}
       194:{1,3,6}:{(156,1),(158,1),(230,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(160,1),(178,1),(234,1),(382,1)}
       198:{1,4,5}:{(160,1),(162,1),(179,1),(236,1),(264,1),(382,1)}
       199:{1,4,7}:{(161,1),(162,1),(180,1)}
       200:{1,3,4,6}:{(162,1),(164,1),(165,1),(181,1),(236,1),(237,1),(238,1),(300,1)}
       201:{1,3,7}:{(163,1),(164,1),(182,1),(239,1),(357,1)}
       202:{2,3,6}:{(164,1),(166,1),(238,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(302,1),(306,1)}
       205:{3,5,7}:{(167,1),(168,1),(178,1),(243,1),(244,1),(390,1)}
       206:{4,5}:{(168,1),(170,1)}
       207:{3,5,6,7}:{(169,1),(171,1),(243,1),(246,1),(249,1),(311,1)}
       208:{4,7}:{(169,1),(170,1)}
       209:{3,4,6}:{(170,1),(173,1),(245,1),(247,1),(248,1)}
       210:{2,4,6,7}:{(171,1),(172,1),(174,1),(246,1),(249,1),(252,1),(254,1)}
       211:{3,5,7}:{(172,1),(173,1),(182,1),(247,1),(249,1)}
       212:{2,3,5,6}:{(173,1),(176,1),(183,1),(248,1),(250,1),(251,1),(256,1),(317,1),(351,1)}
       213:{1,3,6,7}:{(174,1),(175,1),(177,1),(249,1),(252,1),(262,1),(300,1)}
       214:{2,5,7}:{(175,1),(176,1),(184,1),(252,1),(253,1)}
       215:{1,5,6}:{(176,1),(185,1),(253,1),(264,1),(302,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(243,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(180,1),(189,1),(235,1),(244,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,5}:{(179,1),(181,1)}
       219:{3,4,7}:{(180,1),(181,1),(182,1),(255,1),(357,1)}
       220:{2,3,4,6}:{(181,1),(183,1),(186,1),(192,1),(238,1),(248,1),(256,1),(257,1),(258,1),(317,1),(321,1),(360,1),(381,1)}
       221:{2,3,7}:{(182,1),(183,1),(184,1),(259,1),(357,1)}
       222:{1,3,6}:{(183,1),(185,1),(187,1),(259,1),(260,1)}
       223:{1,4,7}:{(184,1),(185,1),(253,1),(259,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(191,1),(255,1),(262,1),(263,1)}
       228:{2,5}:{(190,1),(192,1),(264,1)}
       229:{2,4,7}:{(191,1),(192,1),(193,1),(263,1),(265,1)}
       230:{1,4,6}:{(192,1),(194,1),(195,1),(264,1),(265,1),(322,1)}
       231:{1,3,7}:{(193,1),(194,1),(265,1),(267,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(267,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,5}:{(198,1),(200,1),(218,1),(271,1)}
       237:{1,3,4,7}:{(199,1),(200,1),(201,1),(219,1),(270,1),(272,1)}
       238:{2,4,6}:{(200,1),(202,1),(203,1),(271,1),(272,1),(273,1),(326,1)}
       239:{2,3,7}:{(201,1),(202,1),(272,1),(274,1),(293,1)}
       240:{1,3,6}:{(202,1),(204,1),(273,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{3,5,6}:{(205,1),(216,1),(277,1),(288,1)}
       244:{4,5,7}:{(205,1),(206,1),(208,1),(277,1),(386,1),(391,1)}
       245:{3,4,5}:{(206,1),(209,1),(218,1),(279,1),(369,1)}
       246:{4,6,7}:{(207,1),(208,1),(277,1),(280,1)}
       247:{3,4,7}:{(208,1),(209,1),(211,1),(282,1)}
       248:{2,4,6}:{(209,1),(212,1),(279,1),(282,1),(283,1)}
       249:{3,6,7}:{(210,1),(211,1),(288,1)}
       250:{2,3,5,7}:{(211,1),(212,1),(214,1),(221,1),(282,1),(284,1),(285,1),(335,1)}
       251:{1,3,5,6}:{(212,1),(215,1),(222,1),(283,1),(285,1),(286,1),(290,1),(338,1),(340,1),(366,1),(384,1)}
       252:{2,6,7}:{(213,1),(214,1),(287,1),(295,1),(326,1)}
       253:{1,5,7}:{(214,1),(215,1),(223,1),(287,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(277,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(219,1),(288,1)}
       256:{2,3,5}:{(218,1),(220,1),(228,1),(271,1),(279,1),(290,1),(387,1)}
       257:{2,3,4,7}:{(219,1),(220,1),(221,1),(229,1),(272,1),(282,1),(289,1),(291,1),(343,1),(373,1)}
       258:{1,3,4,6}:{(220,1),(222,1),(224,1),(230,1),(273,1),(283,1),(290,1),(291,1),(292,1),(299,1),(330,1),(338,1),(340,1),(346,1),(365,1),(369,1),(374,1),(383,1),(385,1)}
       259:{1,3,7}:{(221,1),(222,1),(223,1),(293,1)}
       260:{2,6}:{(222,1),(225,1),(293,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(229,1),(295,1),(296,1)}
       264:{1,5}:{(228,1),(230,1)}
       265:{1,4,7}:{(229,1),(230,1),(231,1),(296,1)}
       266:{1,2,4,6}:{(230,1),(232,1),(233,1),(292,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       267:{1,2,7}:{(231,1),(232,1),(293,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(237,1),(255,1),(300,1),(301,1)}
       271:{2,5}:{(236,1),(238,1),(302,1)}
       272:{2,4,7}:{(237,1),(238,1),(239,1),(301,1),(303,1)}
       273:{1,4,6}:{(238,1),(240,1),(241,1),(302,1),(303,1),(347,1)}
       274:{1,3,7}:{(239,1),(240,1),(303,1),(305,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(305,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,6}:{(243,1),(244,1)}
       278:{3,4,5,7}:{(244,1),(245,1),(247,1),(255,1),(308,1),(309,1),(311,1),(379,1),(390,1)}
       279:{2,4,5}:{(245,1),(248,1),(256,1),(310,1),(360,1)}
       280:{4,5,7}:{(246,1),(307,1),(311,1)}
       281:{3,4,6,7}:{(246,1),(247,1),(249,1),(308,1),(311,1),(312,1)}
       282:{2,4,7}:{(247,1),(248,1),(250,1),(313,1)}
       283:{1,4,6}:{(248,1),(251,1),(310,1),(313,1),(314,1),(389,1)}
       284:{2,3,6,7}:{(249,1),(250,1),(252,1),(312,1),(315,1),(317,1)}
       285:{1,3,5,7}:{(250,1),(251,1),(253,1),(259,1),(313,1),(315,1),(316,1),(355,1),(357,1),(380,1)}
       286:{2,5,6}:{(251,1),(260,1),(314,1),(316,1),(319,1),(358,1)}
       287:{1,6,7}:{(252,1),(253,1),(322,1),(347,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(257,1),(263,1),(301,1),(309,1),(317,1),(318,1)}
       290:{1,3,5}:{(256,1),(258,1),(264,1),(302,1),(310,1),(319,1),(354,1),(382,1),(388,1),(390,1)}
       291:{1,3,4,7}:{(257,1),(258,1),(259,1),(265,1),(303,1),(313,1),(318,1),(320,1),(325,1),(350,1),(357,1),(362,1),(376,1),(379,1)}
       292:{2,4,6}:{(258,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       293:{2,7}:{(259,1),(260,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(265,1),(322,1)}
       297:{1,2,5}:{(264,1),(266,1),(319,1),(324,1),(382,1)}
       298:{1,2,4,7}:{(265,1),(266,1),(267,1),(320,1),(323,1),(325,1),(362,1)}
       299:{1,3,6}:{(266,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(272,1),(326,1),(327,1)}
       302:{1,5}:{(271,1),(273,1)}
       303:{1,4,7}:{(272,1),(273,1),(274,1),(327,1)}
       304:{1,2,4,6}:{(273,1),(275,1),(276,1),(292,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       305:{1,2,7}:{(274,1),(275,1),(293,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(280,1),(331,1),(391,1)}
       308:{3,4,6}:{(277,1),(278,1),(288,1),(331,1),(332,1)}
       309:{2,4,5,7}:{(278,1),(279,1),(282,1),(289,1),(332,1),(333,1),(335,1),(373,1),(387,1)}
       310:{1,4,5}:{(279,1),(283,1),(290,1),(334,1),(346,1),(365,1),(391,1)}
       311:{3,5,7}:{(280,1),(281,1),(331,1),(335,1)}
       312:{2,4,6,7}:{(281,1),(282,1),(284,1),(332,1),(335,1),(336,1)}
       313:{1,4,7}:{(282,1),(283,1),(285,1),(337,1),(386,1)}
       314:{2,4,6}:{(283,1),(286,1),(334,1),(337,1),(338,1)}
       315:{1,3,6,7}:{(284,1),(285,1),(287,1),(336,1),(339,1),(340,1),(371,1)}
       316:{2,5,7}:{(285,1),(286,1),(293,1),(337,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(332,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(291,1),(296,1),(327,1),(333,1),(340,1),(341,1),(368,1)}
       319:{2,5}:{(290,1),(292,1)}
       320:{2,4,7}:{(291,1),(292,1),(293,1),(341,1),(343,1)}
       321:{2,3,6}:{(292,1),(294,1),(299,1),(330,1),(338,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,5}:{(297,1),(299,1),(342,1),(346,1)}
       325:{1,3,7}:{(298,1),(299,1),(343,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(303,1),(347,1)}
       328:{1,2,5}:{(302,1),(304,1),(319,1),(349,1),(388,1)}
       329:{1,2,4,7}:{(303,1),(304,1),(305,1),(320,1),(348,1),(350,1),(376,1)}
       330:{1,3,6}:{(304,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,4,6}:{(308,1),(309,1),(317,1),(351,1),(352,1)}
       333:{1,4,5,7}:{(309,1),(310,1),(313,1),(318,1),(352,1),(353,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       334:{2,4,5}:{(310,1),(314,1),(319,1),(354,1),(360,1)}
       335:{2,5,7}:{(311,1),(312,1),(351,1),(355,1)}
       336:{1,4,6,7}:{(312,1),(313,1),(315,1),(352,1),(355,1),(356,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(357,1)}
       338:{3,6}:{(314,1),(354,1),(357,1)}
       339:{2,6,7}:{(315,1),(316,1),(358,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(352,1),(358,1),(378,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,5}:{(319,1),(321,1),(324,1),(349,1),(354,1),(360,1)}
       343:{2,3,7}:{(320,1),(321,1),(325,1),(350,1),(357,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(324,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,5}:{(328,1),(330,1),(342,1),(365,1)}
       350:{1,3,7}:{(329,1),(330,1),(343,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,4,6}:{(332,1),(333,1),(340,1),(366,1),(367,1)}
       353:{2,4,5,7}:{(333,1),(334,1),(337,1),(341,1),(367,1),(368,1),(370,1),(373,1),(386,1),(387,1),(391,1)}
       354:{3,5}:{(334,1),(338,1),(369,1)}
       355:{1,5,7}:{(335,1),(336,1),(366,1),(370,1)}
       356:{2,4,6,7}:{(336,1),(337,1),(339,1),(367,1),(370,1),(371,1),(386,1)}
       357:{3,7}:{(337,1),(338,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(368,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(342,1),(346,1),(365,1),(369,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(349,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(355,1),(377,1),(382,1),(388,1)}
       367:{2,4,6}:{(352,1),(353,1),(358,1),(377,1),(378,1),(389,1)}
       368:{3,5,7}:{(353,1),(354,1),(357,1),(378,1),(379,1),(390,1)}
       369:{3,4}:{(354,1),(360,1)}
       370:{2,5,7}:{(355,1),(356,1),(377,1),(380,1)}
       371:{3,6,7}:{(356,1),(357,1),(378,1),(380,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(378,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(379,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(370,1),(384,1),(387,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{3,4,7}:{(368,1),(369,1),(373,1),(385,1),(386,1)}
       380:{3,5,7}:{(370,1),(371,1),(384,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(385,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(380,1),(389,1),(390,1)}
       385:{3,4,6}:{(378,1),(379,1),(381,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(389,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(386,1),(391,1)}
       390:{3,5}:{(385,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 651 :  0:{2,3,4}:{(2,1),(3,1),(22,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(81,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(26,1),(38,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(38,1)}
        5:{4,5,6}:{(14,1),(15,1),(86,1),(95,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1)}
        7:{2,4,5}:{(1,1),(2,1),(16,1),(18,1),(50,1),(73,1)}
        8:{2,3,6}:{(2,1),(16,1),(19,1),(20,1)}
        9:{1,3,5}:{(2,1),(3,1),(18,1),(19,1),(21,1),(47,1)}
       10:{2,4}:{(3,1),(21,1),(22,1)}
       11:{1,2,5}:{(4,1),(21,1),(23,1),(24,1)}
       12:{1,3}:{(4,1),(22,1)}
       13:{1,2,4}:{(10,1),(25,1),(26,1),(55,1)}
       14:{3,5,6}:{(5,1),(6,1),(27,1),(28,1),(81,1),(94,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{2,4,6}:{(6,1),(7,1),(8,1),(27,1),(30,1),(31,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1)}
       18:{1,4,5}:{(7,1),(9,1),(30,1),(32,1),(38,1),(55,1),(64,1),(76,1)}
       19:{1,3,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(59,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{2,5}:{(9,1),(10,1),(33,1)}
       22:{2,3}:{(10,1),(12,1),(26,1)}
       23:{1,2,6}:{(11,1),(33,1),(36,1),(37,1)}
       24:{1,3,5}:{(11,1),(12,1),(35,1),(36,1),(38,1),(64,1)}
       25:{1,2,5}:{(13,1),(21,1),(39,1),(40,1)}
       26:{1,3}:{(13,1),(22,1)}
       27:{2,5,6}:{(14,1),(16,1),(41,1),(42,1),(73,1),(90,1)}
       28:{3,5,7}:{(14,1),(15,1),(17,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1),(95,1)}
       30:{1,4,6}:{(16,1),(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{2,4,7}:{(16,1),(17,1),(20,1),(42,1),(46,1)}
       32:{2,4,5}:{(18,1),(21,1),(45,1),(47,1),(50,1),(73,1),(86,1)}
       33:{2,6}:{(19,1),(21,1),(49,1)}
       34:{1,3,7}:{(19,1),(20,1),(46,1),(49,1),(72,1)}
       35:{2,3,5}:{(21,1),(22,1),(24,1),(40,1),(47,1),(48,1),(50,1),(73,1)}
       36:{1,3,6}:{(23,1),(24,1),(48,1),(51,1),(52,1)}
       37:{1,2,7}:{(23,1),(49,1),(52,1)}
       38:{1,4}:{(24,1),(50,1)}
       39:{1,2,6}:{(25,1),(33,1),(53,1),(54,1)}
       40:{1,3,5}:{(25,1),(26,1),(35,1),(53,1),(55,1),(76,1)}
       41:{1,5,6}:{(27,1),(30,1),(56,1),(57,1),(64,1),(76,1),(84,1),(91,1)}
       42:{2,5,7}:{(27,1),(28,1),(31,1),(57,1),(58,1)}
       43:{3,6,7}:{(28,1),(29,1),(58,1),(94,1)}
       44:{5,6,7}:{(29,1),(97,1)}
       45:{2,4,6}:{(30,1),(32,1),(33,1),(56,1),(59,1),(60,1),(78,1)}
       46:{1,4,7}:{(30,1),(31,1),(34,1),(57,1),(60,1)}
       47:{3,5}:{(32,1),(59,1),(61,1)}
       48:{2,3,6}:{(33,1),(35,1),(36,1),(53,1),(59,1),(62,1),(63,1)}
       49:{2,7}:{(33,1),(34,1)}
       50:{2,4}:{(35,1),(38,1),(55,1),(61,1)}
       51:{1,4,6}:{(36,1),(38,1),(62,1),(64,1),(65,1),(84,1)}
       52:{1,3,7}:{(36,1),(37,1),(63,1),(65,1)}
       53:{1,3,6}:{(39,1),(40,1),(48,1),(66,1),(67,1)}
       54:{1,2,7}:{(39,1),(49,1),(67,1)}
       55:{1,4}:{(40,1),(50,1)}
       56:{2,5,6}:{(41,1),(45,1),(68,1),(69,1),(73,1),(90,1)}
       57:{1,5,7}:{(41,1),(42,1),(46,1),(69,1),(70,1)}
       58:{2,6,7}:{(42,1),(43,1),(70,1),(90,1)}
       59:{3,6}:{(45,1),(47,1),(72,1)}
       60:{2,4,7}:{(45,1),(46,1),(49,1),(69,1),(72,1),(87,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,4,6}:{(48,1),(50,1),(51,1),(66,1),(71,1),(73,1),(74,1),(90,1)}
       63:{2,3,7}:{(48,1),(49,1),(52,1),(67,1),(72,1),(74,1)}
       64:{1,5}:{(51,1),(73,1)}
       65:{1,4,7}:{(51,1),(52,1),(74,1),(75,1)}
       66:{1,4,6}:{(53,1),(55,1),(62,1),(76,1),(77,1),(91,1)}
       67:{1,3,7}:{(53,1),(54,1),(63,1),(77,1)}
       68:{3,5,6}:{(56,1),(59,1),(78,1),(79,1),(81,1),(94,1),(97,1)}
       69:{2,5,7}:{(56,1),(57,1),(60,1),(79,1),(80,1)}
       70:{1,6,7}:{(57,1),(58,1),(80,1),(84,1),(91,1)}
       71:{3,4,6}:{(59,1),(61,1),(62,1),(78,1),(81,1),(82,1),(94,1)}
       72:{3,7}:{(59,1),(60,1)}
       73:{2,5}:{(62,1),(64,1),(76,1),(81,1)}
       74:{2,4,7}:{(62,1),(63,1),(65,1),(77,1),(82,1),(83,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,5}:{(66,1),(73,1)}
       77:{1,4,7}:{(66,1),(67,1),(74,1),(85,1)}
       78:{4,6}:{(68,1),(86,1),(87,1)}
       79:{3,5,7}:{(68,1),(69,1),(72,1),(87,1),(88,1),(96,1)}
       80:{2,6,7}:{(69,1),(70,1),(88,1),(90,1)}
       81:{3,5}:{(71,1),(73,1),(86,1)}
       82:{3,4,7}:{(71,1),(72,1),(74,1),(87,1),(89,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(81,1)}
       87:{4,7}:{(78,1),(79,1)}
       88:{3,6,7}:{(79,1),(80,1),(93,1),(94,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(92,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(89,1),(95,1),(96,1)}
       93:{4,6,7}:{(87,1),(88,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(95,1)}
       95:{4,6}:{(92,1),(94,1),(97,1)}
       96:{5,7}:{(93,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 652 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(15,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(23,1),(34,1)}
         4:{1,3,4}:{(1,1),(7,1),(9,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(36,1),(169,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(28,1)}
         7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(38,1),(45,1)}
         9:{2,3,4}:{(4,1),(14,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(45,1),(55,1),(160,1),(164,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(21,1),(22,1),(173,1)}
        13:{1,3,4,5}:{(7,1),(23,1),(24,1),(34,1),(73,1)}
        14:{2,3,5}:{(7,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1),(28,1)}
        16:{1,2,5,6}:{(8,1),(11,1),(27,1),(29,1),(36,1),(57,1),(169,1)}
        17:{1,2,4,7}:{(8,1),(28,1),(29,1),(58,1),(66,1)}
        18:{1,3,4}:{(9,1),(25,1),(30,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(33,1),(64,1),(75,1),(146,1),(152,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(12,1),(28,1),(33,1),(35,1),(66,1),(170,1)}
        22:{1,2,5,7}:{(11,1),(12,1),(35,1),(36,1)}
        23:{2,4,5}:{(13,1),(14,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(40,1),(45,1),(87,1)}
        25:{1,3,5}:{(14,1),(18,1),(37,1),(41,1),(42,1)}
        26:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(44,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(20,1),(43,1),(45,1),(46,1),(55,1),(100,1),(155,1),(160,1)}
        28:{1,3,7}:{(15,1),(17,1),(44,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(46,1),(47,1),(80,1),(173,1)}
        30:{1,2,4}:{(18,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1),(51,1),(85,1),(97,1),(128,1),(136,1)}
        32:{2,3,5}:{(19,1),(20,1),(50,1),(52,1)}
        33:{2,3,4,7}:{(19,1),(21,1),(44,1),(51,1),(53,1),(88,1),(161,1)}
        34:{1,4,5}:{(20,1),(45,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(54,1),(55,1)}
        36:{1,2,6}:{(22,1),(55,1)}
        37:{1,4,5}:{(23,1),(25,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(24,1),(57,1),(59,1),(60,1),(103,1)}
        40:{1,3,4,7}:{(24,1),(28,1),(58,1),(60,1),(66,1),(112,1)}
        41:{1,2,5}:{(25,1),(30,1),(61,1)}
        42:{1,3,6}:{(25,1),(26,1),(56,1),(61,1),(63,1)}
        43:{2,3,5,6}:{(26,1),(27,1),(32,1),(57,1),(62,1),(64,1),(65,1),(75,1),(103,1),(121,1),(141,1),(146,1)}
        44:{2,3,7}:{(26,1),(28,1),(58,1),(63,1)}
        45:{1,4,6}:{(27,1),(34,1),(64,1),(66,1)}
        46:{1,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(66,1),(67,1),(114,1),(166,1),(170,1)}
        47:{1,2,6,7}:{(29,1),(36,1),(67,1),(105,1)}
        48:{1,2,3}:{(30,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(61,1),(68,1),(69,1),(70,1),(115,1),(117,1)}
        50:{1,3,5}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(63,1),(70,1),(72,1),(110,1),(147,1)}
        52:{2,4,5}:{(32,1),(34,1),(64,1),(71,1),(73,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(75,1)}
        54:{1,4,5,7}:{(34,1),(35,1),(66,1),(74,1),(76,1),(114,1)}
        55:{1,3,6}:{(35,1),(36,1),(75,1),(76,1)}
        56:{1,4,6}:{(37,1),(38,1),(42,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(80,1)}
        58:{2,4,7}:{(38,1),(40,1),(44,1),(78,1),(80,1)}
        59:{1,4,5,6}:{(39,1),(45,1),(79,1),(81,1),(100,1),(155,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(80,1),(81,1),(82,1),(125,1)}
        61:{1,2,6}:{(41,1),(42,1),(84,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(50,1),(77,1),(83,1),(85,1),(86,1),(97,1),(128,1),(139,1)}
        63:{1,3,7}:{(42,1),(44,1),(78,1),(84,1)}
        64:{2,4,6}:{(43,1),(45,1),(52,1),(85,1),(87,1),(88,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(125,1),(135,1),(156,1),(161,1)}
        66:{1,4,7}:{(45,1),(46,1),(88,1)}
        67:{1,3,6,7}:{(46,1),(47,1),(55,1),(89,1),(90,1),(172,1)}
        68:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(128,1)}
        69:{1,2,5}:{(49,1),(50,1)}
        70:{1,2,4,7}:{(49,1),(51,1),(84,1),(92,1),(94,1)}
        71:{1,4,5}:{(50,1),(52,1),(85,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(97,1)}
        73:{3,4,5}:{(52,1),(87,1)}
        74:{2,4,5,7}:{(52,1),(53,1),(54,1),(88,1),(96,1),(98,1),(99,1),(135,1)}
        75:{2,3,6}:{(53,1),(55,1),(97,1),(99,1)}
        76:{1,4,6}:{(54,1),(55,1),(99,1),(100,1)}
        77:{1,5,6}:{(56,1),(57,1),(102,1)}
        78:{1,4,7}:{(56,1),(58,1),(63,1),(102,1)}
        79:{2,4,5,6}:{(57,1),(59,1),(64,1),(101,1),(103,1),(104,1),(121,1),(141,1),(154,1)}
        80:{2,5,7}:{(57,1),(58,1),(60,1),(102,1),(105,1)}
        81:{1,4,5,7}:{(59,1),(60,1),(66,1),(104,1),(106,1),(114,1),(166,1)}
        82:{1,3,6,7}:{(60,1),(105,1),(106,1),(144,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(69,1),(107,1),(108,1),(117,1),(141,1)}
        84:{1,2,7}:{(61,1),(63,1)}
        85:{1,4,6}:{(62,1),(64,1),(71,1),(110,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(65,1),(102,1),(108,1),(110,1),(111,1),(147,1),(150,1)}
        87:{3,4,6}:{(64,1),(73,1),(103,1),(112,1)}
        88:{2,4,7}:{(64,1),(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,6,7}:{(65,1),(67,1),(75,1),(105,1),(111,1),(113,1),(144,1),(167,1)}
        90:{1,4,6,7}:{(66,1),(67,1),(76,1),(113,1),(114,1)}
        91:{1,2,3,5}:{(68,1),(69,1),(115,1),(116,1)}
        92:{1,2,3,7}:{(68,1),(70,1),(147,1)}
        93:{1,2,4,5}:{(69,1),(71,1),(107,1),(115,1),(116,1),(118,1)}
        94:{1,2,5,7}:{(69,1),(70,1),(72,1),(117,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(109,1),(116,1),(118,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(110,1),(119,1),(150,1)}
        97:{1,3,6}:{(72,1),(75,1),(117,1),(119,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(112,1),(120,1),(151,1)}
        99:{2,4,6}:{(74,1),(75,1),(76,1),(119,1),(120,1),(121,1)}
       100:{1,5,6}:{(76,1),(114,1),(121,1)}
       101:{1,4,5,6}:{(77,1),(79,1),(85,1),(122,1),(123,1),(139,1)}
       102:{1,5,7}:{(77,1),(78,1),(80,1),(124,1)}
       103:{3,5,6}:{(79,1),(87,1),(125,1)}
       104:{2,4,5,7}:{(79,1),(80,1),(81,1),(88,1),(123,1),(125,1),(126,1),(135,1),(156,1),(163,1)}
       105:{2,6,7}:{(80,1),(82,1),(124,1)}
       106:{1,4,6,7}:{(81,1),(82,1),(126,1),(127,1),(172,1)}
       107:{1,2,4,6}:{(83,1),(85,1),(93,1),(128,1),(129,1),(131,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(129,1),(130,1),(156,1)}
       109:{1,3,4,6}:{(85,1),(87,1),(95,1),(122,1),(128,1),(131,1),(132,1)}
       110:{1,4,7}:{(85,1),(86,1),(88,1)}
       111:{1,3,6,7}:{(86,1),(89,1),(97,1),(124,1),(130,1),(133,1)}
       112:{3,4,7}:{(87,1),(88,1),(125,1)}
       113:{2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(133,1),(134,1),(135,1)}
       114:{1,5,7}:{(90,1),(100,1),(135,1)}
       115:{1,2,4}:{(91,1),(136,1)}
       116:{1,3,5}:{(93,1),(128,1),(136,1),(137,1)}
       117:{1,2,6}:{(94,1),(97,1)}
       118:{2,4,5}:{(95,1),(131,1),(137,1),(138,1)}
       119:{1,4,6}:{(96,1),(97,1),(99,1),(139,1)}
       120:{3,4,6}:{(98,1),(99,1),(140,1)}
       121:{2,5,6}:{(99,1),(100,1),(135,1),(139,1),(140,1)}
       122:{1,3,5,6}:{(101,1),(103,1),(109,1),(141,1),(142,1)}
       123:{1,4,5,7}:{(101,1),(102,1),(104,1),(110,1),(142,1),(143,1),(150,1)}
       124:{1,6,7}:{(102,1),(105,1)}
       125:{3,5,7}:{(103,1),(104,1),(112,1),(144,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(144,1),(145,1),(167,1),(168,1)}
       127:{1,5,6,7}:{(106,1),(114,1),(145,1)}
       128:{1,3,6}:{(107,1),(116,1),(146,1),(147,1)}
       129:{1,2,4,7}:{(107,1),(108,1),(110,1),(147,1),(149,1)}
       130:{1,2,6,7}:{(108,1),(111,1),(117,1),(167,1)}
       131:{2,4,6}:{(109,1),(118,1),(141,1),(146,1),(148,1),(149,1)}
       132:{1,3,4,7}:{(109,1),(110,1),(112,1),(142,1),(147,1),(149,1)}
       133:{1,4,6,7}:{(110,1),(111,1),(113,1),(119,1),(150,1)}
       134:{3,4,6,7}:{(112,1),(113,1),(120,1),(144,1),(151,1),(168,1)}
       135:{2,5,7}:{(113,1),(114,1),(121,1),(150,1),(151,1)}
       136:{1,3,4}:{(115,1),(116,1),(152,1)}
       137:{2,3,5}:{(116,1),(118,1),(146,1),(152,1),(153,1)}
       138:{1,4,5}:{(118,1),(148,1),(153,1)}
       139:{1,5,6}:{(119,1),(121,1),(150,1)}
       140:{3,5,6}:{(120,1),(121,1),(151,1),(154,1)}
       141:{2,5,6}:{(122,1),(131,1),(155,1),(156,1)}
       142:{1,3,5,7}:{(122,1),(123,1),(125,1),(132,1),(156,1),(157,1)}
       143:{1,4,6,7}:{(123,1),(124,1),(126,1),(157,1),(158,1)}
       144:{3,6,7}:{(125,1),(126,1)}
       145:{2,5,6,7}:{(126,1),(127,1),(135,1),(158,1),(159,1)}
       146:{2,3,6}:{(128,1),(131,1),(137,1),(160,1),(161,1)}
       147:{1,3,7}:{(128,1),(129,1),(161,1)}
       148:{1,4,6}:{(131,1),(138,1),(155,1),(160,1),(162,1)}
       149:{2,4,7}:{(131,1),(132,1),(156,1),(161,1),(162,1)}
       150:{1,5,7}:{(133,1),(135,1),(139,1)}
       151:{3,5,7}:{(134,1),(135,1),(140,1),(163,1)}
       152:{2,3,4}:{(136,1),(137,1),(164,1)}
       153:{1,3,5}:{(137,1),(138,1),(160,1),(164,1),(165,1)}
       154:{4,5,6}:{(140,1),(163,1)}
       155:{1,5,6}:{(141,1),(148,1),(166,1)}
       156:{2,5,7}:{(141,1),(142,1),(149,1),(166,1),(167,1)}
       157:{1,3,6,7}:{(142,1),(143,1),(144,1),(167,1)}
       158:{1,5,6,7}:{(143,1),(145,1),(150,1)}
       159:{3,5,6,7}:{(144,1),(145,1),(151,1),(168,1)}
       160:{1,3,6}:{(146,1),(148,1),(153,1),(169,1),(170,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(170,1)}
       162:{1,4,7}:{(148,1),(149,1),(166,1),(170,1)}
       163:{4,5,7}:{(151,1),(154,1),(168,1)}
       164:{1,3,4}:{(152,1),(153,1),(171,1)}
       165:{1,2,5}:{(153,1),(169,1),(171,1)}
       166:{1,5,7}:{(155,1),(156,1),(162,1),(172,1)}
       167:{2,6,7}:{(156,1),(157,1),(172,1)}
       168:{4,6,7}:{(159,1),(163,1)}
       169:{1,2,6}:{(160,1),(165,1),(173,1)}
       170:{1,3,7}:{(160,1),(161,1),(162,1),(173,1)}
       171:{1,2,4}:{(164,1),(165,1),(174,1)}
       172:{1,6,7}:{(166,1),(167,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,2,3}:{(171,1)}

 653 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(40,1),(159,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(25,1),(143,1),(168,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(24,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(63,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(14,1),(35,1),(39,1),(40,1),(121,1),(156,1)}
         5:{1,2,5}:{(1,1),(9,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(10,1),(13,1),(173,1)}
         7:{1,2,4}:{(2,1),(14,1)}
         8:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(26,1),(51,1),(55,1),(62,1),(96,1),(140,1)}
         9:{1,3,5}:{(4,1),(5,1),(17,1),(20,1)}
        10:{1,3,4,7}:{(4,1),(6,1),(18,1),(21,1),(58,1),(63,1),(169,1)}
        11:{1,2,5,6}:{(5,1),(19,1),(22,1),(23,1),(25,1),(109,1),(168,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(22,1),(24,1),(60,1)}
        13:{1,2,5,7}:{(5,1),(6,1),(21,1),(25,1)}
        14:{1,3,4}:{(7,1),(24,1),(26,1)}
        15:{1,2,3,6}:{(27,1),(28,1),(29,1),(91,1),(117,1)}
        16:{1,3,4,6}:{(8,1),(27,1),(30,1),(31,1),(44,1),(69,1),(70,1),(74,1),(88,1),(117,1)}
        17:{2,3,5}:{(8,1),(9,1),(30,1),(33,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(34,1),(77,1),(89,1),(157,1)}
        19:{1,3,5,6}:{(9,1),(11,1),(32,1),(35,1),(36,1),(39,1),(40,1),(87,1),(156,1),(160,1)}
        20:{1,4,5}:{(9,1),(33,1),(35,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(13,1),(34,1),(38,1),(39,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(40,1),(41,1),(83,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(41,1),(42,1),(135,1),(173,1)}
        24:{1,3,5}:{(12,1),(14,1),(40,1),(43,1)}
        25:{1,2,6}:{(13,1),(39,1)}
        26:{2,3,4}:{(14,1),(43,1),(44,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(45,1),(46,1),(47,1),(65,1),(95,1),(115,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(47,1),(94,1)}
        29:{1,2,3,7}:{(15,1),(46,1),(141,1)}
        30:{1,3,5}:{(16,1),(17,1),(45,1),(49,1)}
        31:{1,3,4,7}:{(16,1),(18,1),(46,1),(50,1),(99,1),(116,1),(141,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(48,1),(51,1),(52,1),(55,1),(62,1),(103,1),(108,1),(109,1),(140,1),(144,1)}
        33:{2,4,5}:{(17,1),(20,1),(49,1),(51,1),(53,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(21,1),(50,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(20,1),(51,1),(58,1)}
        36:{1,3,5,7}:{(19,1),(23,1),(52,1),(58,1),(59,1),(63,1),(114,1),(169,1),(170,1)}
        37:{1,3,4,5}:{(20,1),(24,1),(53,1),(57,1),(60,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(54,1),(58,1),(61,1),(114,1)}
        39:{1,3,6}:{(21,1),(25,1),(55,1),(61,1)}
        40:{1,3,6}:{(22,1),(24,1),(62,1),(63,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(58,1),(63,1),(113,1)}
        42:{1,2,6,7}:{(23,1),(25,1),(59,1),(155,1)}
        43:{2,3,5}:{(24,1),(26,1),(60,1),(62,1),(64,1)}
        44:{1,3,4}:{(26,1),(64,1),(65,1)}
        45:{1,2,5}:{(27,1),(30,1)}
        46:{1,2,4,7}:{(27,1),(29,1),(31,1),(68,1),(139,1)}
        47:{1,2,4}:{(28,1),(69,1)}
        48:{1,3,5,6}:{(30,1),(32,1),(66,1),(70,1),(71,1),(74,1),(88,1),(117,1),(128,1),(134,1)}
        49:{1,4,5}:{(30,1),(33,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(34,1),(68,1),(73,1),(74,1)}
        51:{2,4,6}:{(32,1),(33,1),(35,1),(70,1),(76,1),(77,1)}
        52:{2,3,5,7}:{(32,1),(36,1),(71,1),(77,1),(78,1),(89,1),(129,1),(132,1),(135,1),(157,1),(161,1)}
        53:{3,4,5}:{(33,1),(76,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(38,1),(73,1),(77,1),(79,1),(80,1),(132,1)}
        55:{2,3,6}:{(34,1),(39,1),(74,1),(80,1)}
        56:{1,4,5,6}:{(35,1),(75,1),(81,1),(82,1),(87,1),(160,1)}
        57:{1,3,4,6}:{(35,1),(37,1),(40,1),(76,1),(81,1),(83,1),(84,1)}
        58:{1,4,7}:{(35,1),(36,1),(77,1)}
        59:{1,3,6,7}:{(36,1),(39,1),(42,1),(78,1),(85,1),(174,1)}
        60:{2,4,5}:{(37,1),(43,1),(83,1),(86,1)}
        61:{1,4,6}:{(38,1),(39,1),(80,1),(87,1)}
        62:{2,3,6}:{(40,1),(43,1),(83,1),(88,1),(89,1)}
        63:{1,3,7}:{(40,1),(41,1),(89,1)}
        64:{1,3,5}:{(43,1),(44,1),(86,1),(88,1),(90,1)}
        65:{1,2,4}:{(44,1),(90,1),(91,1)}
        66:{1,2,5,6}:{(45,1),(48,1),(92,1),(93,1),(95,1),(115,1),(144,1)}
        67:{1,2,4,5}:{(45,1),(47,1),(49,1),(92,1),(94,1),(101,1)}
        68:{1,2,5,7}:{(45,1),(46,1),(50,1),(95,1)}
        69:{1,3,4}:{(47,1),(94,1),(96,1)}
        70:{1,4,6}:{(48,1),(49,1),(51,1),(99,1)}
        71:{1,3,5,7}:{(48,1),(52,1),(93,1),(99,1),(100,1),(116,1),(141,1),(149,1),(154,1)}
        72:{1,3,4,5}:{(49,1),(53,1),(94,1),(98,1),(101,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(54,1),(99,1),(102,1),(149,1)}
        74:{1,3,6}:{(50,1),(55,1),(95,1),(102,1)}
        75:{2,4,5,6}:{(51,1),(56,1),(97,1),(103,1),(104,1),(108,1),(109,1),(144,1),(153,1)}
        76:{3,4,6}:{(51,1),(53,1),(103,1),(105,1)}
        77:{2,4,7}:{(51,1),(52,1),(58,1),(99,1),(105,1)}
        78:{2,3,6,7}:{(52,1),(55,1),(59,1),(100,1),(106,1),(150,1),(155,1),(171,1)}
        79:{3,4,5,7}:{(53,1),(54,1),(105,1),(107,1),(152,1)}
        80:{2,4,6}:{(54,1),(55,1),(61,1),(102,1),(107,1),(108,1)}
        81:{1,3,5,6}:{(56,1),(57,1),(103,1),(109,1),(110,1)}
        82:{1,4,5,7}:{(56,1),(58,1),(104,1),(110,1),(111,1),(114,1),(170,1)}
        83:{2,4,6}:{(57,1),(60,1),(62,1),(109,1),(112,1),(113,1)}
        84:{1,3,4,7}:{(57,1),(58,1),(63,1),(105,1),(110,1),(113,1)}
        85:{1,4,6,7}:{(58,1),(59,1),(61,1),(106,1),(114,1)}
        86:{1,4,5}:{(60,1),(64,1),(112,1)}
        87:{1,5,6}:{(61,1),(108,1),(114,1)}
        88:{1,3,6}:{(62,1),(64,1),(112,1),(115,1),(116,1)}
        89:{2,3,7}:{(62,1),(63,1),(113,1),(116,1)}
        90:{1,2,5}:{(64,1),(65,1),(115,1)}
        91:{1,2,3}:{(65,1)}
        92:{1,2,4,6}:{(66,1),(67,1),(70,1),(117,1),(118,1),(124,1)}
        93:{1,2,5,7}:{(66,1),(71,1),(118,1),(119,1),(139,1),(161,1)}
        94:{1,3,5}:{(67,1),(69,1),(117,1),(120,1)}
        95:{1,2,6}:{(68,1),(74,1)}
        96:{2,3,4}:{(69,1),(120,1),(121,1)}
        97:{1,4,5,6}:{(70,1),(75,1),(122,1),(123,1),(128,1),(134,1)}
        98:{1,3,4,6}:{(70,1),(72,1),(76,1),(117,1),(122,1),(124,1),(125,1)}
        99:{1,4,7}:{(70,1),(71,1),(77,1)}
       100:{1,3,6,7}:{(71,1),(74,1),(78,1),(119,1),(126,1),(167,1)}
       101:{2,4,5}:{(72,1),(120,1),(124,1),(127,1)}
       102:{1,4,6}:{(73,1),(74,1),(80,1),(128,1)}
       103:{3,5,6}:{(75,1),(76,1),(129,1)}
       104:{2,4,5,7}:{(75,1),(77,1),(82,1),(123,1),(129,1),(130,1),(132,1),(135,1),(161,1),(166,1)}
       105:{3,4,7}:{(76,1),(77,1),(129,1)}
       106:{2,4,6,7}:{(77,1),(78,1),(80,1),(85,1),(126,1),(131,1),(132,1)}
       107:{3,4,6}:{(79,1),(80,1),(133,1)}
       108:{2,5,6}:{(80,1),(87,1),(128,1),(132,1),(133,1)}
       109:{2,5,6}:{(81,1),(83,1),(134,1),(135,1)}
       110:{1,3,5,7}:{(81,1),(82,1),(84,1),(129,1),(135,1),(136,1)}
       111:{1,4,6,7}:{(82,1),(130,1),(136,1),(137,1),(174,1)}
       112:{1,4,6}:{(83,1),(86,1),(88,1),(134,1),(138,1)}
       113:{2,4,7}:{(83,1),(84,1),(89,1),(135,1),(138,1)}
       114:{1,5,7}:{(85,1),(87,1),(132,1)}
       115:{1,2,6}:{(88,1),(90,1),(139,1)}
       116:{1,3,7}:{(88,1),(89,1),(138,1),(139,1)}
       117:{1,3,6}:{(92,1),(94,1),(140,1),(141,1)}
       118:{1,2,4,7}:{(92,1),(93,1),(99,1),(141,1),(148,1)}
       119:{1,2,6,7}:{(93,1),(95,1),(100,1),(171,1)}
       120:{2,3,5}:{(94,1),(96,1),(101,1),(140,1),(142,1)}
       121:{1,3,4}:{(96,1),(142,1),(143,1)}
       122:{1,3,5,6}:{(97,1),(98,1),(103,1),(144,1),(145,1)}
       123:{1,4,5,7}:{(97,1),(99,1),(104,1),(145,1),(146,1),(149,1),(154,1)}
       124:{2,4,6}:{(98,1),(101,1),(140,1),(144,1),(147,1),(148,1)}
       125:{1,3,4,7}:{(98,1),(99,1),(105,1),(141,1),(145,1),(148,1)}
       126:{1,4,6,7}:{(99,1),(100,1),(102,1),(106,1),(149,1)}
       127:{1,4,5}:{(101,1),(142,1),(147,1)}
       128:{1,5,6}:{(102,1),(108,1),(149,1)}
       129:{3,5,7}:{(103,1),(104,1),(105,1),(150,1)}
       130:{2,4,6,7}:{(104,1),(111,1),(146,1),(150,1),(151,1),(155,1),(171,1),(172,1)}
       131:{3,4,6,7}:{(105,1),(106,1),(107,1),(150,1),(152,1),(172,1)}
       132:{2,5,7}:{(106,1),(108,1),(114,1),(149,1),(152,1)}
       133:{3,5,6}:{(107,1),(108,1),(152,1),(153,1)}
       134:{1,5,6}:{(109,1),(112,1),(154,1)}
       135:{2,5,7}:{(109,1),(110,1),(113,1),(154,1),(155,1)}
       136:{1,3,6,7}:{(110,1),(111,1),(150,1),(155,1)}
       137:{1,5,6,7}:{(111,1),(114,1),(151,1)}
       138:{1,4,7}:{(112,1),(113,1),(116,1),(154,1)}
       139:{1,2,7}:{(115,1),(116,1)}
       140:{2,3,6}:{(117,1),(120,1),(124,1),(156,1),(157,1)}
       141:{1,3,7}:{(117,1),(118,1),(157,1)}
       142:{1,3,5}:{(120,1),(121,1),(127,1),(156,1),(158,1)}
       143:{1,2,4}:{(121,1),(158,1),(159,1)}
       144:{2,5,6}:{(122,1),(124,1),(160,1),(161,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(125,1),(129,1),(161,1),(162,1)}
       146:{1,4,6,7}:{(123,1),(130,1),(162,1),(163,1),(167,1)}
       147:{1,4,6}:{(124,1),(127,1),(156,1),(160,1),(164,1)}
       148:{2,4,7}:{(124,1),(125,1),(157,1),(161,1),(164,1)}
       149:{1,5,7}:{(126,1),(128,1),(132,1)}
       150:{3,6,7}:{(129,1),(130,1)}
       151:{2,5,6,7}:{(130,1),(132,1),(137,1),(163,1),(165,1)}
       152:{3,5,7}:{(131,1),(132,1),(133,1),(166,1)}
       153:{4,5,6}:{(133,1),(166,1)}
       154:{1,5,7}:{(134,1),(135,1),(138,1),(167,1)}
       155:{2,6,7}:{(135,1),(136,1),(167,1)}
       156:{1,3,6}:{(140,1),(142,1),(147,1),(168,1),(169,1)}
       157:{2,3,7}:{(140,1),(141,1),(148,1),(169,1)}
       158:{1,2,5}:{(142,1),(143,1),(168,1)}
       159:{1,2,3}:{(143,1)}
       160:{1,5,6}:{(144,1),(147,1),(170,1)}
       161:{2,5,7}:{(144,1),(145,1),(148,1),(170,1),(171,1)}
       162:{1,3,6,7}:{(145,1),(146,1),(150,1),(171,1)}
       163:{1,5,6,7}:{(146,1),(149,1),(151,1)}
       164:{1,4,7}:{(147,1),(148,1),(169,1),(170,1)}
       165:{3,5,6,7}:{(150,1),(151,1),(152,1),(172,1)}
       166:{4,5,7}:{(152,1),(153,1),(172,1)}
       167:{1,6,7}:{(154,1),(155,1)}
       168:{1,2,6}:{(156,1),(158,1),(173,1)}
       169:{1,3,7}:{(156,1),(157,1),(164,1),(173,1)}
       170:{1,5,7}:{(160,1),(161,1),(164,1),(174,1)}
       171:{2,6,7}:{(161,1),(162,1),(174,1)}
       172:{4,6,7}:{(165,1),(166,1)}
       173:{1,2,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(170,1),(171,1)}

 654 :   0:{1,2,3,7}:{(1,1),(2,1),(77,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1),(173,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(56,1),(163,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(74,1),(77,1),(169,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(150,1),(170,1)}
         6:{1,2,3,5}:{(2,1),(11,1),(12,1),(37,1)}
         7:{2,3,4,7}:{(3,1),(14,1),(15,1),(16,1),(94,1),(102,1),(160,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(17,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(23,1),(53,1),(56,1),(131,1),(161,1)}
        10:{1,2,6}:{(4,1),(18,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4}:{(6,1),(23,1)}
        13:{1,2,3,7}:{(24,1),(25,1),(147,1)}
        14:{1,3,4,7}:{(7,1),(24,1),(26,1),(27,1),(112,1),(126,1),(147,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        16:{2,3,4,6}:{(7,1),(9,1),(27,1),(29,1),(30,1),(38,1),(70,1),(78,1),(109,1),(148,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(31,1),(34,1),(72,1),(74,1)}
        18:{1,3,6}:{(8,1),(10,1),(29,1),(31,1)}
        19:{1,3,5}:{(9,1),(11,1),(30,1),(34,1)}
        20:{1,2,6,7}:{(10,1),(32,1),(35,1),(158,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(36,1),(123,1),(170,1)}
        22:{1,2,4,5}:{(11,1),(12,1),(34,1),(36,1),(37,1),(76,1)}
        23:{1,3,4}:{(12,1),(37,1),(38,1)}
        24:{1,2,4,7}:{(13,1),(14,1),(39,1),(40,1),(146,1)}
        25:{1,2,3,6}:{(13,1),(40,1),(41,1),(105,1),(129,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(44,1)}
        27:{1,3,4,6}:{(14,1),(16,1),(40,1),(43,1),(44,1),(58,1),(84,1),(88,1),(103,1),(129,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(42,1),(45,1),(46,1),(49,1),(92,1),(94,1)}
        29:{2,3,6}:{(15,1),(18,1),(43,1),(46,1)}
        30:{2,3,5}:{(16,1),(19,1),(44,1),(49,1)}
        31:{1,4,6}:{(17,1),(18,1),(46,1),(51,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(52,1),(174,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(51,1),(52,1),(53,1),(56,1),(161,1),(166,1)}
        34:{1,4,5}:{(19,1),(49,1),(53,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(52,1),(55,1),(143,1),(173,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(53,1),(55,1),(56,1),(100,1)}
        37:{1,3,5}:{(22,1),(23,1),(56,1),(57,1)}
        38:{2,3,4}:{(23,1),(57,1),(58,1)}
        39:{1,2,5,7}:{(24,1),(26,1),(59,1),(60,1)}
        40:{1,2,4,6}:{(24,1),(25,1),(27,1),(59,1),(60,1),(61,1),(80,1),(127,1)}
        41:{1,2,3,5}:{(25,1),(60,1),(61,1),(108,1)}
        42:{1,4,5,7}:{(26,1),(28,1),(62,1),(65,1),(110,1),(112,1)}
        43:{1,3,6}:{(26,1),(29,1),(59,1),(62,1)}
        44:{1,3,5}:{(27,1),(30,1),(60,1),(65,1)}
        45:{3,4,5,7}:{(28,1),(66,1),(71,1),(115,1),(120,1)}
        46:{2,4,6}:{(28,1),(29,1),(31,1),(62,1),(66,1),(68,1)}
        47:{2,3,6,7}:{(29,1),(32,1),(63,1),(67,1),(69,1),(157,1),(158,1),(171,1)}
        48:{2,3,5,6}:{(29,1),(30,1),(33,1),(64,1),(68,1),(69,1),(70,1),(78,1),(119,1),(123,1),(148,1),(153,1)}
        49:{2,4,5}:{(30,1),(34,1),(65,1),(70,1),(71,1)}
        50:{1,4,6,7}:{(31,1),(32,1),(67,1),(72,1),(74,1)}
        51:{1,5,6}:{(31,1),(68,1),(72,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(35,1),(69,1),(72,1),(74,1),(77,1),(169,1),(172,1)}
        53:{1,4,6}:{(33,1),(34,1),(70,1),(74,1)}
        54:{1,3,4,5}:{(34,1),(37,1),(71,1),(75,1),(76,1)}
        55:{1,2,4,7}:{(35,1),(36,1),(74,1),(77,1),(124,1)}
        56:{1,3,6}:{(36,1),(37,1),(77,1),(78,1)}
        57:{2,3,5}:{(37,1),(38,1),(76,1),(78,1),(79,1)}
        58:{1,3,4}:{(38,1),(79,1),(80,1)}
        59:{1,2,6}:{(39,1),(43,1)}
        60:{1,2,5}:{(40,1),(44,1)}
        61:{1,2,4}:{(41,1),(84,1)}
        62:{1,4,6}:{(42,1),(43,1),(46,1),(86,1)}
        63:{1,3,6,7}:{(43,1),(47,1),(81,1),(85,1),(87,1),(168,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(48,1),(82,1),(86,1),(87,1),(88,1),(103,1),(129,1),(144,1)}
        65:{1,4,5}:{(44,1),(49,1),(88,1)}
        66:{3,4,6}:{(45,1),(46,1),(91,1)}
        67:{2,4,6,7}:{(46,1),(47,1),(50,1),(85,1),(90,1),(92,1),(94,1)}
        68:{2,5,6}:{(46,1),(51,1),(86,1),(91,1),(92,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(52,1),(87,1),(92,1),(94,1),(102,1),(141,1),(143,1),(160,1),(165,1)}
        70:{2,4,6}:{(48,1),(49,1),(53,1),(88,1),(94,1),(95,1)}
        71:{3,4,5}:{(49,1),(95,1)}
        72:{1,5,7}:{(50,1),(51,1),(92,1)}
        73:{1,4,5,6}:{(51,1),(53,1),(93,1),(97,1),(98,1),(166,1)}
        74:{1,4,7}:{(52,1),(53,1),(94,1)}
        75:{1,3,4,6}:{(53,1),(54,1),(56,1),(95,1),(98,1),(99,1),(100,1)}
        76:{2,4,5}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,7}:{(55,1),(56,1),(102,1)}
        78:{2,3,6}:{(56,1),(57,1),(100,1),(102,1),(103,1)}
        79:{1,3,5}:{(57,1),(58,1),(101,1),(103,1),(104,1)}
        80:{1,2,4}:{(58,1),(104,1),(105,1)}
        81:{1,2,6,7}:{(59,1),(63,1),(106,1),(171,1)}
        82:{1,2,5,6}:{(59,1),(60,1),(64,1),(106,1),(107,1),(127,1),(153,1)}
        83:{1,2,4,5}:{(60,1),(61,1),(65,1),(107,1),(108,1),(114,1)}
        84:{1,3,4}:{(61,1),(108,1),(109,1)}
        85:{1,4,6,7}:{(62,1),(63,1),(67,1),(110,1),(112,1)}
        86:{1,5,6}:{(62,1),(68,1),(110,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(69,1),(106,1),(110,1),(112,1),(126,1),(147,1),(159,1)}
        88:{1,4,6}:{(64,1),(65,1),(70,1),(112,1)}
        89:{1,3,4,5}:{(65,1),(71,1),(108,1),(113,1),(114,1)}
        90:{3,4,6,7}:{(66,1),(67,1),(115,1),(120,1),(156,1),(157,1)}
        91:{3,5,6}:{(66,1),(68,1),(115,1),(116,1)}
        92:{2,5,7}:{(67,1),(68,1),(72,1),(110,1),(115,1)}
        93:{2,4,5,6}:{(68,1),(70,1),(73,1),(111,1),(116,1),(118,1),(119,1),(123,1),(153,1)}
        94:{2,4,7}:{(69,1),(70,1),(74,1),(112,1),(120,1)}
        95:{3,4,6}:{(70,1),(71,1),(119,1),(120,1)}
        96:{1,5,6,7}:{(72,1),(117,1),(121,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(74,1),(118,1),(121,1),(122,1),(172,1)}
        98:{1,3,5,6}:{(73,1),(75,1),(119,1),(122,1),(123,1)}
        99:{1,3,4,7}:{(74,1),(75,1),(77,1),(120,1),(122,1),(124,1)}
       100:{2,4,6}:{(75,1),(76,1),(78,1),(123,1),(124,1),(125,1)}
       101:{1,4,5}:{(76,1),(79,1),(125,1)}
       102:{2,3,7}:{(77,1),(78,1),(124,1),(126,1)}
       103:{1,3,6}:{(78,1),(79,1),(125,1),(126,1),(127,1)}
       104:{1,2,5}:{(79,1),(80,1),(127,1)}
       105:{1,2,3}:{(80,1)}
       106:{1,2,5,7}:{(81,1),(82,1),(87,1),(128,1),(146,1),(165,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(88,1),(128,1),(129,1),(136,1)}
       108:{1,3,5}:{(83,1),(84,1),(129,1),(130,1)}
       109:{2,3,4}:{(84,1),(130,1),(131,1)}
       110:{1,5,7}:{(85,1),(86,1),(92,1)}
       111:{1,4,5,6}:{(86,1),(88,1),(93,1),(133,1),(134,1),(144,1)}
       112:{1,4,7}:{(87,1),(88,1),(94,1)}
       113:{1,3,4,6}:{(88,1),(89,1),(95,1),(129,1),(134,1),(135,1),(136,1)}
       114:{2,4,5}:{(89,1),(130,1),(136,1),(137,1)}
       115:{3,5,7}:{(90,1),(91,1),(92,1),(139,1)}
       116:{4,5,6}:{(91,1),(139,1)}
       117:{2,5,6,7}:{(92,1),(96,1),(132,1),(138,1),(140,1)}
       118:{2,4,5,7}:{(92,1),(93,1),(94,1),(97,1),(133,1),(139,1),(140,1),(141,1),(143,1),(165,1)}
       119:{3,5,6}:{(93,1),(95,1),(141,1)}
       120:{3,4,7}:{(94,1),(95,1),(141,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(140,1),(142,1),(174,1)}
       122:{1,3,5,7}:{(97,1),(98,1),(99,1),(141,1),(142,1),(143,1)}
       123:{2,5,6}:{(98,1),(100,1),(143,1),(144,1)}
       124:{2,4,7}:{(99,1),(100,1),(102,1),(143,1),(145,1)}
       125:{1,4,6}:{(100,1),(101,1),(103,1),(144,1),(145,1)}
       126:{1,3,7}:{(102,1),(103,1),(145,1),(146,1)}
       127:{1,2,6}:{(103,1),(104,1),(146,1)}
       128:{1,2,4,7}:{(106,1),(107,1),(112,1),(147,1),(154,1)}
       129:{1,3,6}:{(107,1),(108,1),(147,1),(148,1)}
       130:{2,3,5}:{(108,1),(109,1),(114,1),(148,1),(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{1,5,6,7}:{(110,1),(117,1),(151,1)}
       133:{1,4,5,7}:{(110,1),(111,1),(112,1),(118,1),(151,1),(152,1),(159,1)}
       134:{1,3,5,6}:{(111,1),(113,1),(119,1),(152,1),(153,1)}
       135:{1,3,4,7}:{(112,1),(113,1),(120,1),(147,1),(152,1),(154,1)}
       136:{2,4,6}:{(113,1),(114,1),(148,1),(153,1),(154,1),(155,1)}
       137:{1,4,5}:{(114,1),(149,1),(155,1)}
       138:{3,5,6,7}:{(115,1),(117,1),(156,1),(157,1)}
       139:{4,5,7}:{(115,1),(116,1),(156,1)}
       140:{2,4,6,7}:{(117,1),(118,1),(121,1),(151,1),(156,1),(157,1),(158,1),(171,1)}
       141:{3,5,7}:{(118,1),(119,1),(120,1),(157,1)}
       142:{1,3,6,7}:{(121,1),(122,1),(157,1),(158,1)}
       143:{2,5,7}:{(122,1),(123,1),(124,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(125,1),(159,1)}
       145:{1,4,7}:{(124,1),(125,1),(126,1),(159,1)}
       146:{1,2,7}:{(126,1),(127,1)}
       147:{1,3,7}:{(128,1),(129,1),(160,1)}
       148:{2,3,6}:{(129,1),(130,1),(136,1),(160,1),(161,1)}
       149:{1,3,5}:{(130,1),(131,1),(137,1),(161,1),(162,1)}
       150:{1,2,4}:{(131,1),(162,1),(163,1)}
       151:{1,4,6,7}:{(132,1),(133,1),(140,1),(164,1),(168,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(135,1),(141,1),(164,1),(165,1)}
       153:{2,5,6}:{(134,1),(136,1),(165,1),(166,1)}
       154:{2,4,7}:{(135,1),(136,1),(160,1),(165,1),(167,1)}
       155:{1,4,6}:{(136,1),(137,1),(161,1),(166,1),(167,1)}
       156:{4,6,7}:{(138,1),(139,1)}
       157:{3,6,7}:{(140,1),(141,1)}
       158:{2,6,7}:{(142,1),(143,1),(168,1)}
       159:{1,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       160:{2,3,7}:{(147,1),(148,1),(154,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(155,1),(169,1),(170,1)}
       162:{1,2,5}:{(149,1),(150,1),(170,1)}
       163:{1,2,3}:{(150,1)}
       164:{1,3,6,7}:{(151,1),(152,1),(157,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,5,6}:{(153,1),(155,1),(172,1)}
       167:{1,4,7}:{(154,1),(155,1),(169,1),(172,1)}
       168:{1,6,7}:{(158,1),(159,1)}
       169:{1,3,7}:{(160,1),(161,1),(167,1),(173,1)}
       170:{1,2,6}:{(161,1),(162,1),(173,1)}
       171:{2,6,7}:{(164,1),(165,1),(174,1)}
       172:{1,5,7}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

 655 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

 656 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(81,1),(122,1),(127,1),(130,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(95,1),(99,1),(102,1),(156,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(107,1),(157,1),(161,1)}
         3:{1,2,4,5,6}:{(6,1),(8,1),(21,1),(28,1),(57,1),(62,1),(107,1),(112,1),(116,1),(153,1),(157,1),(161,1),(200,1),(205,1),(234,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(14,1),(34,1),(38,1),(70,1),(73,1),(76,1),(130,1),(132,1),(182,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(129,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(13,1),(38,1),(41,1),(83,1),(127,1),(131,1),(136,1),(142,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(13,1),(14,1),(133,1),(182,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(86,1),(133,1),(144,1),(182,1),(222,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(27,1),(48,1),(50,1),(59,1),(102,1),(111,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(101,1),(157,1),(160,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(99,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1),(159,1),(169,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(106,1),(161,1)}
        15:{1,3,4,6}:{(8,1),(24,1),(25,1),(28,1),(200,1),(204,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(57,1),(61,1),(106,1),(112,1),(117,1),(161,1)}
        17:{1,2,5,6,7}:{(9,1),(30,1),(43,1),(73,1),(84,1),(124,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(31,1),(129,1),(138,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(75,1),(182,1),(184,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(124,1),(129,1),(188,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(14,1),(38,1),(39,1),(41,1),(80,1)}
        24:{1,3,4,5}:{(15,1),(40,1),(86,1),(141,1),(219,1),(222,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(41,1),(181,1),(184,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(16,1),(38,1),(41,1),(42,1),(136,1),(143,1)}
        27:{1,3,6,7}:{(14,1),(39,1),(42,1),(43,1),(133,1)}
        28:{2,4,6}:{(15,1),(16,1),(40,1),(41,1),(45,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(81,1),(86,1),(91,1),(133,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(47,1),(48,1),(51,1),(152,1),(157,1),(198,1)}
        31:{1,4,5,7}:{(18,1),(19,1),(49,1),(50,1),(59,1)}
        32:{1,3,4,6,7}:{(18,1),(20,1),(48,1),(50,1),(51,1),(93,1),(96,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(97,1),(101,1),(157,1),(205,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(63,1),(101,1),(105,1),(106,1),(148,1),(151,1),(160,1),(204,1),(207,1),(231,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(208,1)}
        37:{1,3,4,5,7}:{(22,1),(24,1),(25,1),(53,1),(56,1),(58,1),(103,1),(109,1),(159,1),(166,1),(208,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(64,1),(107,1)}
        40:{2,4,5}:{(24,1),(28,1),(61,1),(62,1),(112,1),(168,1)}
        41:{2,4,7}:{(25,1),(26,1),(28,1),(64,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(115,1)}
        43:{1,2,6,7}:{(27,1),(65,1),(161,1)}
        44:{2,3,4,6}:{(28,1),(61,1),(63,1),(66,1),(106,1),(117,1),(168,1),(204,1),(207,1)}
        45:{1,4,6}:{(28,1),(29,1),(62,1),(64,1)}
        46:{1,2,5,6}:{(29,1),(65,1),(67,1),(112,1),(161,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(69,1),(73,1),(84,1),(120,1),(126,1),(131,1),(138,1),(179,1),(214,1)}
        48:{1,3,6,7}:{(30,1),(69,1),(70,1),(176,1),(182,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(81,1),(129,1),(219,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(73,1)}
        51:{2,4,6,7}:{(32,1),(70,1),(73,1),(74,1),(120,1),(123,1)}
        52:{3,5,6}:{(33,1),(34,1),(75,1),(182,1),(222,1)}
        53:{3,4,5,7}:{(34,1),(75,1),(77,1),(184,1),(222,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(73,1),(76,1),(77,1),(78,1),(222,1),(224,1),(240,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(74,1),(78,1),(79,1),(85,1),(88,1),(128,1),(129,1),(133,1),(138,1),(174,1),(176,1),(181,1),(182,1),(184,1),(187,1),(218,1),(223,1),(239,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(75,1),(80,1),(129,1),(133,1),(182,1)}
        57:{2,5,6}:{(36,1),(38,1),(80,1),(81,1),(224,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(40,1),(41,1),(80,1),(82,1),(83,1),(136,1),(190,1),(224,1)}
        59:{1,5,7}:{(38,1),(39,1),(81,1)}
        60:{1,2,4,6,7}:{(39,1),(43,1),(79,1),(84,1),(85,1),(89,1),(134,1),(138,1),(214,1),(216,1),(239,1)}
        61:{2,3,5}:{(40,1),(44,1),(86,1),(222,1),(224,1)}
        62:{1,4,5}:{(40,1),(45,1),(86,1),(191,1)}
        63:{2,3,4,7}:{(41,1),(44,1),(82,1),(88,1),(143,1),(184,1),(190,1)}
        64:{1,4,7}:{(41,1),(42,1),(45,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(46,1),(89,1),(136,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(86,1),(88,1),(90,1),(91,1),(133,1),(141,1),(144,1),(191,1),(223,1)}
        67:{1,2,4,6}:{(45,1),(46,1),(87,1),(89,1),(90,1),(91,1)}
        68:{1,2,4,5,6}:{(47,1),(49,1),(92,1),(97,1),(108,1),(146,1),(152,1),(157,1),(163,1),(193,1),(198,1),(205,1),(225,1),(227,1),(243,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(92,1),(93,1),(94,1),(159,1),(229,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(94,1),(95,1),(151,1),(198,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(52,1),(96,1),(97,1),(232,1)}
        72:{1,3,4,5,7}:{(50,1),(53,1),(93,1),(96,1),(98,1),(103,1),(145,1),(154,1),(159,1),(203,1),(232,1)}
        73:{2,5,7}:{(50,1),(51,1),(97,1),(99,1)}
        74:{1,4,6,7}:{(51,1),(95,1),(99,1),(149,1),(152,1)}
        75:{3,4,6}:{(52,1),(53,1),(101,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(57,1),(97,1),(101,1),(102,1),(106,1),(151,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(160,1),(205,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(59,1),(99,1),(102,1),(103,1),(104,1),(159,1),(208,1),(232,1),(234,1),(243,1)}
        79:{2,4,6,7}:{(55,1),(104,1),(105,1),(114,1),(157,1),(160,1),(161,1),(196,1),(198,1),(207,1),(231,1)}
        80:{2,4,6}:{(56,1),(57,1),(58,1),(106,1),(107,1),(161,1)}
        81:{1,5,6}:{(57,1),(59,1),(107,1),(234,1)}
        82:{2,3,5,7}:{(58,1),(61,1),(63,1),(106,1),(109,1),(159,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(64,1),(107,1),(109,1),(209,1),(234,1)}
        84:{1,2,5,7}:{(59,1),(60,1),(104,1),(108,1),(111,1),(243,1)}
        85:{1,3,6,7}:{(60,1),(105,1),(111,1),(115,1),(162,1),(229,1),(230,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(112,1),(234,1)}
        87:{1,2,4,5}:{(62,1),(67,1),(112,1),(113,1),(168,1)}
        88:{1,3,4,7}:{(63,1),(64,1),(66,1),(109,1),(114,1),(115,1),(169,1),(209,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1)}
        90:{2,4,6}:{(66,1),(112,1),(114,1),(117,1),(161,1),(168,1)}
        91:{1,3,6}:{(67,1),(113,1),(115,1),(117,1)}
        92:{1,3,5,6}:{(68,1),(69,1),(118,1),(119,1),(176,1),(182,1),(210,1),(222,1),(238,1)}
        93:{1,3,4,7}:{(69,1),(118,1),(120,1),(138,1),(184,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(73,1),(119,1),(120,1),(121,1),(179,1),(215,1)}
        95:{1,3,6,7}:{(70,1),(74,1),(121,1),(122,1),(176,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(75,1),(123,1),(129,1),(176,1),(182,1)}
        97:{2,5,6}:{(71,1),(73,1),(123,1),(124,1),(240,1)}
        98:{2,4,5,7}:{(72,1),(73,1),(120,1),(123,1),(125,1),(126,1),(170,1),(179,1),(221,1),(240,1)}
        99:{1,5,7}:{(73,1),(74,1),(124,1)}
       100:{1,2,4,6,7}:{(74,1),(79,1),(122,1),(127,1),(128,1),(142,1),(175,1),(177,1),(181,1),(185,1),(223,1)}
       101:{2,4,6}:{(75,1),(76,1),(77,1),(129,1)}
       102:{1,3,5,6}:{(76,1),(78,1),(81,1),(124,1),(129,1),(130,1),(133,1),(176,1),(182,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(129,1),(131,1),(138,1),(181,1),(188,1),(219,1)}
       104:{2,5,7}:{(78,1),(79,1),(130,1),(224,1),(240,1)}
       105:{2,3,6,7}:{(79,1),(85,1),(128,1),(132,1),(143,1),(182,1),(186,1),(215,1),(217,1)}
       106:{2,3,6}:{(80,1),(82,1),(133,1),(182,1)}
       107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
       108:{1,2,5,6}:{(81,1),(84,1),(130,1),(134,1),(135,1),(216,1),(224,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(86,1),(88,1),(133,1),(136,1)}
       110:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(89,1),(131,1),(134,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       111:{1,3,5,7}:{(84,1),(85,1),(132,1),(135,1),(138,1)}
       112:{2,5}:{(86,1),(90,1)}
       113:{1,3,5}:{(87,1),(91,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(90,1),(136,1),(143,1)}
       115:{1,3,7}:{(89,1),(91,1),(143,1)}
       116:{1,2,4,6}:{(90,1),(139,1),(142,1),(144,1),(185,1),(191,1),(223,1)}
       117:{2,3,6}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(145,1),(146,1),(163,1),(204,1)}
       119:{2,3,5,6}:{(92,1),(94,1),(97,1),(146,1),(147,1),(151,1),(192,1),(198,1),(225,1),(228,1)}
       120:{2,4,7}:{(93,1),(94,1),(146,1),(149,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(99,1),(147,1),(149,1),(150,1),(197,1)}
       122:{1,2,6,7}:{(95,1),(150,1),(198,1)}
       123:{2,4,6}:{(96,1),(97,1),(98,1),(151,1),(152,1),(198,1)}
       124:{1,5,6}:{(97,1),(99,1),(152,1),(243,1)}
       125:{2,3,5,7}:{(98,1),(148,1),(151,1),(154,1),(159,1),(192,1)}
       126:{1,4,5,7}:{(98,1),(99,1),(149,1),(152,1),(154,1),(193,1),(233,1),(243,1)}
       127:{1,2,5,7}:{(99,1),(100,1),(104,1),(153,1),(156,1),(234,1)}
       128:{1,3,6,7}:{(100,1),(105,1),(156,1),(169,1),(197,1),(199,1),(206,1)}
       129:{1,4,6}:{(101,1),(102,1),(103,1),(157,1)}
       130:{2,5,6}:{(102,1),(104,1),(157,1),(161,1),(198,1)}
       131:{2,4,5,7}:{(103,1),(104,1),(157,1),(159,1),(160,1),(205,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(111,1),(156,1),(158,1),(159,1),(160,1)}
       133:{1,3,6}:{(106,1),(107,1),(109,1),(161,1)}
       134:{1,2,4,6}:{(107,1),(108,1),(110,1),(157,1),(161,1),(162,1),(163,1),(207,1)}
       135:{1,3,5,6}:{(108,1),(111,1),(158,1),(162,1),(163,1),(208,1),(230,1),(243,1)}
       136:{2,5,7}:{(109,1),(112,1),(114,1),(161,1)}
       137:{1,3,5,7}:{(110,1),(113,1),(115,1),(159,1),(162,1),(165,1),(166,1),(208,1)}
       138:{1,4,7}:{(111,1),(160,1),(163,1)}
       139:{1,2,5}:{(112,1),(116,1),(167,1),(234,1)}
       140:{2,3,5}:{(112,1),(113,1),(117,1),(167,1),(168,1)}
       141:{1,3,4}:{(113,1),(168,1)}
       142:{1,2,4,7}:{(114,1),(116,1),(164,1),(169,1),(209,1)}
       143:{2,3,7}:{(114,1),(115,1),(117,1),(169,1)}
       144:{1,3,6}:{(116,1),(117,1),(167,1),(169,1)}
       145:{1,3,4,5}:{(118,1),(170,1),(188,1),(210,1),(222,1),(237,1)}
       146:{2,4,6}:{(118,1),(119,1),(120,1),(170,1),(172,1)}
       147:{1,3,5,6}:{(119,1),(121,1),(124,1),(172,1),(173,1),(176,1),(210,1),(213,1)}
       148:{2,3,4,7}:{(120,1),(125,1),(171,1),(174,1),(184,1),(215,1),(221,1)}
       149:{1,4,7}:{(120,1),(121,1),(172,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(173,1),(175,1),(179,1)}
       151:{2,3,6}:{(123,1),(125,1),(176,1),(182,1)}
       152:{1,4,6}:{(123,1),(124,1),(126,1),(176,1)}
       153:{1,2,5,6}:{(124,1),(127,1),(130,1),(177,1),(178,1),(185,1),(240,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(174,1),(176,1),(179,1),(210,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(131,1),(175,1),(177,1),(179,1),(180,1),(181,1),(211,1),(219,1),(221,1),(240,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(132,1),(178,1),(181,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1)}
       158:{2,3,5,6}:{(130,1),(132,1),(135,1),(178,1),(182,1),(183,1),(186,1),(217,1),(222,1),(224,1),(240,1)}
       159:{3,5,7}:{(131,1),(182,1),(184,1),(222,1)}
       160:{2,4,7}:{(132,1),(138,1),(181,1),(183,1),(184,1)}
       161:{2,6}:{(133,1),(136,1)}
       162:{1,3,6}:{(134,1),(137,1),(182,1),(186,1)}
       163:{1,4,6}:{(135,1),(138,1),(183,1),(188,1)}
       164:{1,2,5,7}:{(136,1),(139,1),(142,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(136,1),(137,1),(140,1),(143,1),(186,1),(189,1),(190,1),(224,1)}
       166:{1,3,4,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(190,1)}
       167:{1,3,5}:{(139,1),(140,1),(144,1),(191,1)}
       168:{2,4}:{(140,1),(141,1),(191,1)}
       169:{1,3,7}:{(142,1),(143,1),(144,1)}
       170:{2,4,5}:{(145,1),(146,1),(192,1),(193,1),(225,1),(242,1)}
       171:{2,3,4,6}:{(146,1),(148,1),(151,1),(192,1),(194,1),(204,1),(228,1),(231,1),(242,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(193,1)}
       173:{1,2,5,6}:{(147,1),(150,1),(195,1),(198,1),(225,1)}
       174:{1,3,4,7}:{(148,1),(149,1),(154,1),(194,1),(196,1),(197,1),(229,1),(233,1)}
       175:{1,2,4,7}:{(149,1),(150,1),(195,1),(196,1),(197,1)}
       176:{1,3,6}:{(151,1),(152,1),(154,1),(198,1)}
       177:{1,2,4,6}:{(152,1),(153,1),(155,1),(157,1),(198,1),(199,1),(200,1),(231,1)}
       178:{1,3,5,6}:{(153,1),(156,1),(158,1),(199,1),(200,1),(206,1),(232,1),(234,1)}
       179:{2,5,7}:{(154,1),(196,1),(198,1),(225,1)}
       180:{1,3,5,7}:{(155,1),(159,1),(197,1),(199,1),(202,1),(203,1),(226,1),(232,1)}
       181:{1,4,7}:{(156,1),(160,1),(200,1)}
       182:{3,6}:{(157,1),(159,1)}
       183:{2,4,6}:{(158,1),(160,1),(163,1),(200,1),(204,1),(205,1)}
       184:{3,4,7}:{(159,1),(160,1),(204,1)}
       185:{1,2,6}:{(161,1),(164,1),(206,1)}
       186:{2,3,6}:{(161,1),(162,1),(165,1),(206,1),(207,1)}
       187:{1,3,4,6}:{(162,1),(163,1),(166,1),(204,1),(207,1),(208,1)}
       188:{1,4,5}:{(163,1),(205,1),(208,1),(243,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(167,1),(169,1),(206,1),(209,1),(234,1)}
       190:{2,4,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       191:{1,4}:{(167,1),(168,1)}
       192:{2,3,5}:{(170,1),(171,1),(210,1),(222,1),(240,1)}
       193:{1,4,5}:{(170,1),(172,1),(210,1),(244,1)}
       194:{1,3,4,6}:{(171,1),(172,1),(174,1),(176,1),(210,1),(212,1),(213,1),(237,1),(238,1),(239,1),(244,1)}
       195:{1,2,4,6}:{(172,1),(173,1),(175,1),(211,1),(212,1),(213,1)}
       196:{2,4,7}:{(174,1),(179,1),(212,1),(215,1)}
       197:{1,3,7}:{(175,1),(213,1),(215,1)}
       198:{2,6}:{(176,1),(179,1)}
       199:{1,3,6}:{(177,1),(180,1),(182,1),(217,1)}
       200:{1,4,6}:{(178,1),(181,1),(183,1),(219,1)}
       201:{1,2,5,7}:{(179,1),(214,1),(216,1),(220,1),(235,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(215,1),(217,1),(220,1),(221,1),(236,1),(240,1)}
       203:{1,3,4,7}:{(180,1),(181,1),(184,1),(218,1),(221,1),(237,1)}
       204:{3,4,6}:{(182,1),(183,1),(184,1),(222,1)}
       205:{2,4,5}:{(183,1),(188,1),(219,1),(222,1),(224,1),(240,1)}
       206:{1,3,6}:{(185,1),(186,1),(189,1),(223,1)}
       207:{2,4,6}:{(186,1),(187,1),(190,1),(223,1),(224,1)}
       208:{1,3,5}:{(187,1),(188,1),(222,1),(224,1)}
       209:{1,4,7}:{(189,1),(190,1),(191,1),(223,1)}
       210:{1,3,5}:{(192,1),(193,1),(194,1),(225,1),(243,1)}
       211:{1,2,4,5}:{(193,1),(195,1),(225,1),(226,1),(242,1)}
       212:{2,4,6}:{(194,1),(196,1),(198,1),(225,1),(228,1),(242,1)}
       213:{1,3,6}:{(195,1),(197,1),(226,1),(228,1)}
       214:{1,2,4,7}:{(196,1),(201,1),(227,1),(229,1),(233,1)}
       215:{2,3,7}:{(196,1),(197,1),(228,1),(229,1)}
       216:{1,2,6}:{(198,1),(201,1),(230,1)}
       217:{2,3,6}:{(198,1),(199,1),(202,1),(230,1),(231,1)}
       218:{1,3,4,6}:{(199,1),(200,1),(203,1),(204,1),(231,1),(232,1)}
       219:{1,4,5}:{(200,1),(205,1),(232,1),(234,1)}
       220:{1,3,5,7}:{(201,1),(202,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       221:{2,4,7}:{(202,1),(203,1),(231,1),(233,1),(242,1)}
       222:{3,5}:{(204,1),(205,1)}
       223:{1,4,6}:{(206,1),(207,1),(209,1),(234,1)}
       224:{2,5}:{(207,1),(208,1),(234,1)}
       225:{2,5}:{(210,1),(212,1)}
       226:{1,3,5}:{(211,1),(213,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(212,1),(214,1),(216,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(212,1),(213,1),(215,1),(236,1),(238,1)}
       229:{1,3,7}:{(214,1),(215,1),(238,1)}
       230:{1,3,6}:{(216,1),(217,1),(220,1),(239,1)}
       231:{2,4,6}:{(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,3,5}:{(218,1),(219,1),(222,1),(240,1)}
       233:{1,4,7}:{(220,1),(221,1),(239,1),(244,1)}
       234:{1,5}:{(223,1),(224,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

 657 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{1,3,4}:{(1,1),(4,1),(5,1)}
        3:{1,2,5}:{(1,1),(5,1),(6,1)}
        4:{2,3,4}:{(2,1),(8,1),(9,1)}
        5:{1,3,5}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,6}:{(3,1),(11,1),(12,1)}
        7:{1,2,3}:{(13,1)}
        8:{1,3,4}:{(4,1),(13,1),(14,1)}
        9:{2,3,5}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,4,5}:{(5,1),(15,1),(17,1)}
       11:{1,3,6}:{(5,1),(6,1),(16,1),(17,1),(18,1)}
       12:{1,2,7}:{(6,1),(18,1)}
       13:{1,2,4}:{(7,1),(8,1),(19,1)}
       14:{1,3,5}:{(8,1),(9,1),(19,1),(20,1),(21,1)}
       15:{2,4,5}:{(9,1),(10,1),(20,1),(22,1),(23,1)}
       16:{2,3,6}:{(9,1),(11,1),(21,1),(23,1),(24,1)}
       17:{1,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,3,7}:{(11,1),(12,1),(24,1),(26,1)}
       19:{1,2,5}:{(13,1),(14,1),(27,1)}
       20:{1,4,5}:{(14,1),(15,1),(28,1)}
       21:{1,3,6}:{(14,1),(16,1),(27,1),(28,1),(29,1)}
       22:{3,4,5}:{(15,1),(30,1)}
       23:{2,4,6}:{(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
       24:{2,3,7}:{(16,1),(18,1),(29,1),(32,1)}
       25:{1,5,6}:{(17,1),(31,1),(33,1)}
       26:{1,4,7}:{(17,1),(18,1),(32,1),(33,1)}
       27:{1,2,6}:{(19,1),(21,1),(34,1)}
       28:{1,4,6}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
       29:{1,3,7}:{(21,1),(24,1),(34,1),(36,1)}
       30:{3,4,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{2,5,6}:{(23,1),(25,1),(35,1),(37,1),(39,1)}
       32:{2,4,7}:{(23,1),(24,1),(26,1),(36,1),(38,1),(39,1)}
       33:{1,5,7}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,2,7}:{(27,1),(29,1)}
       35:{1,5,6}:{(28,1),(31,1),(41,1)}
       36:{1,4,7}:{(28,1),(29,1),(32,1),(41,1)}
       37:{3,5,6}:{(30,1),(31,1),(42,1),(43,1)}
       38:{3,4,7}:{(30,1),(32,1),(43,1)}
       39:{2,5,7}:{(31,1),(32,1),(33,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(33,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 658 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(30,1),(39,1),(41,1),(47,1),(73,1),(85,1),(95,1),(157,1),(159,1),(213,1),(223,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(120,1),(132,1),(191,1),(194,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(51,1),(105,1),(131,1),(179,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(223,1),(225,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(73,1),(86,1),(158,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(214,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(79,1),(141,1),(213,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(80,1),(94,1),(142,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(54,1),(66,1),(110,1),(124,1),(125,1),(132,1),(180,1),(182,1),(184,1),(194,1),(244,1),(249,1),(288,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(105,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(244,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(191,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(114,1),(178,1),(259,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(39,1),(73,1),(81,1),(89,1),(139,1),(145,1),(159,1),(210,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(31,1),(33,1),(74,1),(97,1),(144,1),(146,1),(166,1),(214,1),(273,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(102,1),(139,1),(145,1),(169,1),(225,1),(269,1),(270,1),(298,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(73,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(141,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(142,1),(158,1),(165,1),(166,1),(168,1),(214,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(132,1),(194,1),(199,1),(244,1),(288,1),(307,1)}
        30:{1,4,5,7}:{(16,1),(19,1),(48,1),(51,1),(62,1),(114,1),(124,1),(171,1),(180,1),(235,1)}
        31:{2,4,6}:{(16,1),(17,1),(49,1),(51,1),(53,1),(105,1)}
        32:{1,3,4,6,7}:{(17,1),(52,1),(54,1),(106,1),(119,1),(180,1),(182,1),(190,1),(244,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(53,1),(54,1),(55,1),(118,1),(184,1)}
        34:{1,3,4,7}:{(18,1),(19,1),(48,1),(56,1),(57,1),(59,1),(120,1),(171,1),(180,1),(203,1),(244,1),(289,1),(309,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(175,1),(193,1),(243,1),(245,1),(254,1),(284,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(56,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(105,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(178,1),(199,1),(201,1),(244,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(193,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(34,1),(73,1),(74,1),(88,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(31,1),(74,1),(166,1),(214,1),(230,1),(302,1),(312,1)}
        50:{1,2,4,5,7}:{(30,1),(36,1),(73,1),(77,1),(78,1),(91,1),(139,1),(150,1),(159,1),(161,1),(210,1),(213,1),(218,1),(219,1),(267,1),(313,1)}
        51:{1,4,6}:{(30,1),(31,1),(74,1),(80,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(75,1),(79,1),(81,1),(141,1),(145,1),(213,1)}
        53:{2,5,6}:{(31,1),(33,1),(39,1),(80,1),(81,1),(210,1)}
        54:{1,3,5,7}:{(32,1),(33,1),(81,1),(84,1),(155,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(82,1),(84,1),(97,1),(144,1),(218,1),(222,1),(273,1)}
        56:{2,4,7}:{(34,1),(73,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(37,1),(74,1),(87,1),(88,1),(90,1),(144,1),(156,1),(161,1),(170,1),(204,1),(214,1),(223,1),(225,1),(271,1),(277,1),(299,1)}
        58:{2,3,5}:{(35,1),(39,1),(88,1),(89,1),(96,1),(165,1),(210,1),(268,1),(297,1)}
        59:{1,3,7}:{(36,1),(86,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(87,1),(90,1),(91,1),(161,1),(299,1),(301,1),(304,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(141,1),(230,1),(274,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(142,1),(165,1),(222,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(214,1),(225,1)}
        73:{2,5,7}:{(48,1),(56,1),(105,1),(123,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(105,1),(258,1),(314,1)}
        75:{2,3,6,7}:{(49,1),(52,1),(106,1),(108,1),(190,1),(244,1),(250,1)}
        76:{2,3,5,6}:{(49,1),(53,1),(58,1),(107,1),(108,1),(109,1),(118,1),(189,1),(245,1)}
        77:{1,3,5,7}:{(50,1),(59,1),(104,1),(110,1),(111,1),(126,1),(184,1),(194,1),(244,1),(288,1)}
        78:{1,2,4,6}:{(50,1),(51,1),(105,1),(111,1),(113,1),(175,1),(179,1),(186,1),(287,1),(314,1)}
        79:{1,4,6,7}:{(51,1),(52,1),(106,1),(114,1),(180,1)}
        80:{1,5,6}:{(51,1),(53,1),(62,1),(114,1),(235,1)}
        81:{2,5,7}:{(52,1),(53,1),(54,1),(114,1)}
        82:{2,4,5,6}:{(53,1),(55,1),(64,1),(109,1),(115,1),(117,1),(118,1),(131,1),(179,1),(189,1),(241,1),(287,1)}
        83:{1,3,5,6,7}:{(54,1),(65,1),(116,1),(119,1),(190,1),(248,1)}
        84:{1,4,5,7}:{(54,1),(55,1),(117,1),(119,1),(180,1),(251,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(171,1),(203,1),(259,1)}
        86:{2,3,7}:{(56,1),(59,1),(120,1),(122,1),(244,1)}
        87:{2,4,6}:{(56,1),(57,1),(105,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(62,1),(123,1),(124,1),(194,1),(200,1),(235,1),(308,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{1,3,6}:{(59,1),(60,1),(122,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(123,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(178,1),(199,1),(251,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(179,1),(247,1),(290,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(244,1)}
       103:{1,2,5,7}:{(73,1),(85,1),(137,1),(138,1),(157,1),(231,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(86,1),(137,1),(139,1),(140,1),(158,1),(210,1)}
       105:{2,6}:{(73,1),(74,1)}
       106:{1,3,6,7}:{(74,1),(75,1),(79,1),(141,1),(143,1),(274,1)}
       107:{1,3,5,6}:{(74,1),(76,1),(80,1),(88,1),(142,1),(143,1),(144,1),(214,1),(222,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(76,1),(81,1),(143,1),(145,1),(155,1),(221,1),(270,1)}
       109:{2,4,6}:{(76,1),(89,1),(144,1),(145,1),(146,1)}
       110:{1,3,4,7}:{(77,1),(139,1),(147,1),(161,1),(219,1),(225,1),(269,1)}
       111:{1,3,6}:{(77,1),(78,1),(140,1),(214,1),(302,1)}
       112:{1,2,4,6,7}:{(78,1),(79,1),(141,1),(148,1),(150,1),(209,1),(213,1),(219,1)}
       113:{1,2,5,6}:{(78,1),(80,1),(91,1),(142,1),(149,1),(150,1),(210,1),(266,1),(301,1)}
       114:{1,5,7}:{(79,1),(80,1),(81,1)}
       115:{1,4,5,6}:{(80,1),(82,1),(93,1),(144,1),(152,1),(153,1),(163,1),(261,1),(295,1)}
       116:{2,5,6,7}:{(81,1),(83,1),(94,1),(151,1),(154,1),(266,1)}
       117:{2,4,5,7}:{(81,1),(82,1),(84,1),(145,1),(152,1),(154,1),(155,1),(213,1),(221,1)}
       118:{3,5,6}:{(82,1),(96,1),(146,1),(155,1),(166,1),(214,1),(268,1),(302,1)}
       119:{1,4,6,7}:{(83,1),(84,1),(97,1),(154,1),(273,1),(274,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(204,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(90,1),(156,1),(158,1),(214,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(144,1),(159,1),(161,1),(223,1)}
       125:{3,4,5}:{(89,1),(96,1),(146,1),(225,1),(268,1)}
       126:{1,3,5}:{(90,1),(91,1),(158,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(159,1),(161,1),(162,1),(165,1),(227,1),(228,1),(278,1),(304,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(213,1),(272,1),(303,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(214,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(120,1),(171,1),(172,1),(191,1),(235,1)}
       138:{1,2,6}:{(103,1),(105,1),(172,1),(258,1)}
       139:{2,4,7}:{(104,1),(110,1),(171,1),(175,1),(193,1)}
       140:{2,3,6}:{(104,1),(105,1),(111,1),(172,1),(175,1)}
       141:{2,6,7}:{(105,1),(106,1),(178,1)}
       142:{2,5,6}:{(105,1),(107,1),(123,1),(178,1),(179,1),(290,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(108,1),(114,1),(178,1),(180,1),(244,1),(251,1),(289,1)}
       144:{1,4,6}:{(107,1),(109,1),(124,1),(179,1),(180,1)}
       145:{2,4,7}:{(108,1),(109,1),(180,1),(182,1)}
       146:{3,4,6}:{(109,1),(118,1),(125,1),(182,1)}
       147:{1,3,4,6}:{(110,1),(111,1),(175,1),(184,1),(186,1),(243,1)}
       148:{1,3,6,7}:{(111,1),(112,1),(176,1),(185,1),(244,1),(314,1)}
       149:{1,3,5,6}:{(111,1),(113,1),(126,1),(177,1),(184,1),(185,1),(186,1),(286,1),(308,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(114,1),(178,1),(185,1),(240,1),(310,1)}
       151:{1,5,6,7}:{(114,1),(116,1),(128,1),(187,1),(280,1)}
       152:{1,4,5,7}:{(114,1),(115,1),(117,1),(180,1),(187,1),(188,1)}
       153:{1,3,5,6}:{(115,1),(118,1),(130,1),(181,1),(188,1),(189,1),(198,1),(282,1),(306,1)}
       154:{2,4,6,7}:{(116,1),(117,1),(119,1),(131,1),(187,1),(190,1),(250,1),(287,1)}
       155:{3,5,7}:{(117,1),(118,1),(182,1),(190,1),(244,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(235,1)}
       158:{2,3,5}:{(122,1),(123,1),(126,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(179,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(130,1),(181,1),(194,1),(195,1),(196,1),(252,1),(255,1),(282,1)}
       161:{1,4}:{(126,1),(193,1)}
       162:{1,3,5}:{(127,1),(134,1),(194,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(244,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(290,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(139,1),(204,1),(223,1)}
       172:{1,3,6}:{(137,1),(138,1),(140,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(141,1),(205,1),(207,1),(274,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(142,1),(157,1),(206,1),(207,1),(208,1),(222,1),(297,1),(312,1)}
       175:{2,4,6}:{(139,1),(140,1),(147,1),(204,1),(210,1)}
       176:{2,3,6,7}:{(140,1),(141,1),(148,1),(205,1),(209,1),(211,1),(302,1),(312,1)}
       177:{2,3,5,6}:{(140,1),(142,1),(149,1),(158,1),(206,1),(210,1),(211,1),(212,1),(214,1),(265,1),(266,1),(268,1),(297,1),(302,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(143,1),(213,1),(303,1)}
       179:{2,4,6}:{(142,1),(144,1),(159,1),(213,1),(214,1)}
       180:{1,4,7}:{(143,1),(144,1),(145,1),(213,1)}
       181:{1,3,4,6}:{(144,1),(146,1),(153,1),(160,1),(214,1),(215,1),(216,1),(271,1)}
       182:{3,4,7}:{(145,1),(146,1),(155,1)}
       183:{1,3,4,6,7}:{(147,1),(148,1),(209,1),(217,1),(219,1),(269,1),(273,1),(302,1)}
       184:{1,3,5}:{(147,1),(210,1),(218,1),(268,1)}
       185:{1,3,5,7}:{(148,1),(149,1),(150,1),(211,1),(219,1),(300,1),(313,1)}
       186:{1,4,6}:{(149,1),(161,1),(212,1),(218,1),(219,1)}
       187:{1,4,6,7}:{(151,1),(152,1),(154,1),(163,1),(220,1),(295,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(155,1),(215,1),(220,1),(221,1)}
       189:{2,5,6}:{(153,1),(165,1),(216,1),(221,1),(222,1),(230,1),(297,1),(312,1)}
       190:{3,6,7}:{(154,1),(155,1),(166,1),(302,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(261,1),(275,1),(278,1),(279,1),(297,1)}
       193:{2,4}:{(158,1),(161,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(214,1),(225,1)}
       195:{2,4,5}:{(160,1),(165,1),(216,1),(226,1),(227,1),(228,1),(275,1),(278,1),(297,1)}
       196:{1,3,4}:{(161,1),(162,1),(225,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(278,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(175,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(176,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(177,1),(191,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(178,1),(236,1),(238,1),(251,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(179,1),(192,1),(237,1),(238,1),(239,1),(247,1),(284,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(176,1),(183,1),(234,1),(240,1),(242,1),(287,1)}
       210:{2,5}:{(175,1),(184,1),(235,1)}
       211:{2,3,5,7}:{(176,1),(177,1),(178,1),(185,1),(236,1),(240,1),(242,1),(244,1),(285,1),(288,1),(307,1)}
       212:{2,4,6}:{(177,1),(186,1),(193,1),(237,1),(241,1),(242,1),(243,1)}
       213:{2,4,7}:{(178,1),(179,1),(180,1),(244,1)}
       214:{3,6}:{(179,1),(194,1),(244,1)}
       215:{1,3,4,7}:{(180,1),(181,1),(182,1),(188,1),(244,1),(246,1),(289,1)}
       216:{2,4,6}:{(181,1),(189,1),(195,1),(245,1),(246,1),(247,1),(290,1)}
       217:{1,3,5,7}:{(183,1),(184,1),(240,1),(248,1),(249,1),(288,1)}
       218:{1,4,5}:{(184,1),(186,1),(241,1),(308,1)}
       219:{1,4,7}:{(185,1),(186,1),(242,1)}
       220:{1,3,6,7}:{(187,1),(188,1),(190,1),(198,1),(250,1),(306,1)}
       221:{2,5,7}:{(188,1),(189,1),(246,1),(250,1),(251,1)}
       222:{1,5,6}:{(189,1),(200,1),(247,1),(251,1),(258,1),(308,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(245,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(256,1),(291,1),(308,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(209,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(210,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(211,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(212,1),(223,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(213,1),(262,1),(264,1),(272,1),(298,1),(303,1)}
       239:{1,3,6}:{(208,1),(214,1),(224,1),(264,1),(265,1)}
       240:{2,5,7}:{(209,1),(210,1),(217,1),(260,1),(266,1)}
       241:{2,4,5}:{(210,1),(212,1),(218,1),(261,1),(268,1),(297,1)}
       242:{2,4,7}:{(211,1),(212,1),(219,1),(262,1),(269,1)}
       243:{3,4,6}:{(212,1),(214,1),(225,1),(268,1),(269,1),(302,1)}
       244:{3,7}:{(213,1),(214,1)}
       245:{2,3,6}:{(214,1),(216,1),(226,1),(270,1),(271,1)}
       246:{2,4,7}:{(215,1),(216,1),(221,1),(270,1),(272,1),(303,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(271,1),(272,1)}
       248:{1,3,5,6}:{(217,1),(266,1),(273,1),(302,1)}
       249:{1,4,5,7}:{(217,1),(218,1),(219,1),(267,1),(273,1),(313,1)}
       250:{2,6,7}:{(220,1),(221,1),(230,1),(274,1),(312,1)}
       251:{1,5,7}:{(221,1),(222,1),(272,1),(274,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(297,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(228,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(271,1),(277,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(278,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(235,1),(240,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(241,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(242,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(243,1),(252,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(244,1),(285,1)}
       265:{2,3,6}:{(239,1),(253,1),(284,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(248,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(242,1),(249,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,5}:{(241,1),(243,1)}
       269:{3,4,7}:{(242,1),(243,1),(244,1),(288,1)}
       270:{2,3,7}:{(244,1),(245,1),(246,1),(289,1)}
       271:{1,3,6}:{(245,1),(247,1),(255,1),(289,1),(290,1)}
       272:{1,4,7}:{(246,1),(247,1),(251,1),(289,1)}
       273:{1,4,6}:{(248,1),(249,1),(287,1),(314,1)}
       274:{1,6,7}:{(250,1),(251,1),(258,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(308,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(256,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(267,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(268,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(269,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(275,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(303,1)}
       286:{1,3,6}:{(265,1),(276,1),(299,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(273,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(269,1),(302,1)}
       289:{1,3,7}:{(270,1),(271,1),(272,1),(303,1)}
       290:{2,6}:{(271,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(288,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(291,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(310,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(303,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 659 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(65,1),(120,1),(150,1),(210,1),(224,1),(228,1),(318,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(18,1),(22,1),(52,1),(65,1),(119,1),(137,1),(228,1),(233,1),(316,1)}
         2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(37,1),(105,1),(106,1),(175,1),(178,1),(275,1),(277,1),(352,1),(401,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1),(39,1),(82,1),(164,1),(254,1)}
         4:{1,2,5,7}:{(0,1),(8,1),(11,1),(12,1),(104,1),(168,1),(259,1),(272,1)}
         5:{1,3,5}:{(1,1),(9,1),(10,1),(13,1),(184,1),(279,1)}
         6:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(23,1),(59,1),(65,1),(128,1),(131,1),(142,1),(143,1),(150,1),(210,1),(230,1),(237,1),(298,1),(324,1),(382,1),(383,1)}
         7:{1,4,6}:{(2,1),(16,1),(18,1),(20,1),(316,1)}
         8:{1,3,5,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(24,1),(70,1),(225,1),(229,1)}
         9:{1,3,4}:{(5,1),(22,1),(316,1),(319,1)}
        10:{1,3,6}:{(3,1),(5,1),(23,1),(24,1),(298,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(24,1),(69,1),(125,1),(215,1),(299,1)}
        12:{1,2,6,7}:{(4,1),(21,1),(150,1),(219,1),(305,1),(318,1)}
        13:{2,3,5}:{(5,1),(22,1),(23,1),(25,1),(65,1),(119,1),(147,1)}
        14:{1,3,4,5}:{(9,1),(27,1),(28,1),(37,1),(78,1),(94,1),(172,1),(185,1),(267,1),(279,1)}
        15:{1,3,5,6}:{(6,1),(29,1),(30,1),(31,1),(43,1),(86,1),(89,1),(103,1),(180,1),(181,1),(195,1),(197,1),(288,1),(357,1)}
        16:{2,4,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(34,1),(284,1),(403,1)}
        17:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1),(44,1),(96,1),(101,1),(104,1),(176,1),(179,1),(259,1),(336,1),(395,1)}
        18:{1,4,5}:{(7,1),(32,1),(37,1),(178,1),(401,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(10,1),(33,1),(37,1),(39,1),(40,1),(105,1)}
        20:{1,4,7}:{(7,1),(8,1),(34,1)}
        21:{1,3,6,7}:{(8,1),(12,1),(35,1),(41,1),(105,1),(277,1),(352,1)}
        22:{2,4}:{(9,1),(13,1),(42,1)}
        23:{2,3,6}:{(10,1),(13,1),(39,1),(43,1),(44,1),(164,1)}
        24:{1,3,7}:{(10,1),(11,1),(44,1),(336,1)}
        25:{1,3,5}:{(13,1),(42,1),(43,1),(45,1),(103,1),(109,1)}
        26:{1,4,5,6}:{(18,1),(46,1),(48,1),(49,1),(67,1),(201,1),(207,1),(308,1),(322,1),(374,1)}
        27:{1,3,4,6}:{(14,1),(48,1),(50,1),(51,1),(113,1),(117,1),(207,1),(298,1)}
        28:{2,4,5}:{(14,1),(22,1),(47,1),(50,1),(52,1),(65,1),(119,1),(216,1),(306,1)}
        29:{1,2,5,6}:{(15,1),(53,1),(54,1),(72,1),(131,1),(148,1),(201,1),(210,1),(230,1),(244,1)}
        30:{1,4,6}:{(15,1),(16,1),(55,1),(57,1),(242,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(54,1),(57,1),(58,1),(73,1),(129,1),(136,1),(149,1)}
        32:{2,4,5}:{(16,1),(18,1),(55,1),(59,1),(65,1),(131,1),(383,1),(415,1)}
        33:{3,4,6}:{(16,1),(59,1),(62,1),(142,1),(298,1),(319,1)}
        34:{2,4,7}:{(16,1),(17,1),(20,1),(57,1),(62,1),(413,1)}
        35:{2,3,6,7}:{(17,1),(21,1),(58,1),(63,1),(142,1),(150,1),(230,1),(305,1),(324,1),(369,1)}
        36:{2,3,4}:{(22,1),(47,1),(64,1),(147,1),(216,1),(319,1)}
        37:{1,3,5}:{(18,1),(19,1),(59,1),(65,1)}
        38:{1,4,5,7}:{(18,1),(20,1),(60,1),(66,1),(67,1),(70,1),(229,1)}
        39:{2,4,6}:{(19,1),(22,1),(23,1),(65,1),(68,1),(69,1),(150,1)}
        40:{1,3,4,7}:{(19,1),(20,1),(24,1),(62,1),(66,1),(69,1)}
        41:{1,4,6,7}:{(20,1),(21,1),(63,1),(67,1),(70,1),(380,1)}
        42:{1,4}:{(22,1),(25,1)}
        43:{1,3,6}:{(23,1),(25,1),(68,1),(72,1),(73,1)}
        44:{2,3,7}:{(23,1),(24,1),(69,1),(73,1),(215,1)}
        45:{1,2,5}:{(25,1),(71,1),(72,1),(119,1)}
        46:{2,4,5,6}:{(26,1),(32,1),(74,1),(75,1),(76,1),(79,1),(97,1),(154,1),(158,1),(254,1),(282,1),(283,1),(339,1),(355,1),(396,1),(403,1)}
        47:{2,3,5}:{(28,1),(36,1),(77,1),(78,1),(279,1)}
        48:{1,3,5,6}:{(26,1),(27,1),(37,1),(75,1),(79,1),(80,1),(105,1),(267,1),(345,1)}
        49:{1,4,5,7}:{(26,1),(76,1),(80,1),(81,1),(249,1),(255,1),(338,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(79,1),(82,1),(83,1),(164,1)}
        51:{1,3,4,7}:{(27,1),(80,1),(83,1),(159,1),(165,1),(255,1),(336,1)}
        52:{1,4,5}:{(28,1),(42,1),(78,1),(82,1),(103,1),(253,1),(333,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(85,1),(86,1),(87,1),(91,1),(246,1),(254,1),(326,1)}
        54:{1,2,5,7}:{(29,1),(31,1),(87,1),(88,1),(110,1),(179,1),(249,1),(259,1)}
        55:{1,4,5}:{(30,1),(32,1),(89,1),(103,1),(357,1)}
        56:{1,3,4,6}:{(30,1),(33,1),(86,1),(89,1),(91,1),(92,1),(173,1),(180,1)}
        57:{1,4,7}:{(30,1),(31,1),(34,1)}
        58:{1,3,6,7}:{(31,1),(35,1),(88,1),(93,1),(180,1),(197,1),(288,1)}
        59:{3,5}:{(32,1),(33,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(38,1),(90,1),(96,1),(97,1),(101,1),(104,1),(179,1),(194,1)}
        61:{2,3,4,6}:{(33,1),(36,1),(39,1),(77,1),(91,1),(95,1),(98,1),(99,1),(158,1),(190,1),(192,1),(245,1),(262,1),(269,1),(284,1),(335,1),(356,1),(386,1)}
        62:{3,4,7}:{(33,1),(34,1),(96,1),(336,1)}
        63:{2,4,6,7}:{(34,1),(35,1),(41,1),(93,1),(97,1),(100,1),(101,1),(356,1)}
        64:{1,3,4}:{(36,1),(42,1),(78,1),(102,1),(109,1),(184,1),(253,1)}
        65:{2,5}:{(37,1),(39,1),(103,1)}
        66:{1,3,5,7}:{(37,1),(38,1),(40,1),(96,1),(104,1),(105,1)}
        67:{1,4,6}:{(38,1),(97,1),(105,1),(106,1),(277,1)}
        68:{1,4,6}:{(39,1),(42,1),(43,1),(103,1),(108,1),(197,1)}
        69:{2,4,7}:{(39,1),(40,1),(44,1),(104,1),(108,1)}
        70:{1,5,7}:{(41,1),(101,1),(106,1),(401,1)}
        71:{1,2,4}:{(42,1),(45,1),(102,1),(109,1)}
        72:{1,2,6}:{(43,1),(45,1),(110,1),(164,1)}
        73:{1,3,7}:{(43,1),(44,1),(108,1),(110,1)}
        74:{1,4,5,6}:{(46,1),(55,1),(111,1),(112,1),(120,1),(133,1),(207,1),(322,1),(363,1),(409,1)}
        75:{3,5,6}:{(46,1),(59,1),(113,1),(115,1),(142,1),(298,1),(367,1),(411,1)}
        76:{2,4,5,7}:{(46,1),(49,1),(112,1),(115,1),(116,1),(121,1),(202,1),(208,1),(299,1),(301,1),(302,1),(370,1),(413,1)}
        77:{2,3,6}:{(47,1),(50,1),(117,1),(118,1),(298,1)}
        78:{1,3,5}:{(47,1),(52,1),(64,1),(117,1),(119,1)}
        79:{2,5,6}:{(48,1),(50,1),(65,1),(120,1),(121,1),(150,1),(306,1),(373,1)}
        80:{1,3,5,7}:{(48,1),(49,1),(51,1),(115,1),(121,1),(122,1)}
        81:{1,4,6,7}:{(49,1),(67,1),(116,1),(122,1),(123,1),(295,1),(374,1)}
        82:{1,4,6}:{(50,1),(52,1),(117,1),(120,1),(125,1)}
        83:{2,4,7}:{(50,1),(51,1),(118,1),(121,1),(125,1),(215,1)}
        84:{1,2,4,5}:{(52,1),(71,1),(119,1),(124,1),(126,1),(148,1),(216,1),(233,1),(242,1),(306,1),(308,1)}
        85:{1,2,4,5}:{(53,1),(55,1),(127,1),(131,1),(148,1),(222,1),(227,1),(233,1),(242,1),(314,1),(376,1)}
        86:{1,3,6}:{(53,1),(127,1),(128,1),(129,1),(298,1)}
        87:{1,2,4,7}:{(53,1),(54,1),(57,1),(129,1),(135,1),(292,1),(299,1),(360,1)}
        88:{1,2,6,7}:{(54,1),(58,1),(230,1),(244,1),(295,1),(305,1)}
        89:{1,3,5}:{(55,1),(56,1),(59,1),(131,1)}
        90:{1,4,5,7}:{(55,1),(57,1),(60,1),(132,1),(133,1),(136,1),(149,1)}
        91:{2,4,6}:{(56,1),(128,1),(131,1),(134,1),(135,1),(222,1),(230,1)}
        92:{1,3,4,7}:{(56,1),(57,1),(62,1),(129,1),(132,1),(135,1)}
        93:{1,4,6,7}:{(57,1),(58,1),(63,1),(133,1),(136,1),(325,1)}
        94:{3,4,5}:{(59,1),(113,1),(138,1),(319,1),(367,1),(415,1)}
        95:{2,3,5}:{(59,1),(61,1),(65,1),(131,1),(138,1),(140,1),(306,1),(367,1),(383,1),(406,1)}
        96:{3,5,7}:{(59,1),(60,1),(62,1),(142,1)}
        97:{2,4,6}:{(60,1),(67,1),(133,1),(142,1),(143,1),(150,1),(230,1),(240,1)}
        98:{1,3,4,6}:{(61,1),(64,1),(68,1),(117,1),(134,1),(140,1),(144,1),(145,1),(151,1),(207,1),(231,1),(239,1),(242,1),(289,1),(296,1),(298,1),(312,1),(316,1),(319,1),(325,1),(380,1),(381,1),(404,1)}
        99:{2,3,4,7}:{(61,1),(62,1),(69,1),(118,1),(135,1),(141,1),(145,1),(208,1),(241,1),(290,1),(307,1),(323,1),(368,1),(407,1)}
       100:{3,4,6,7}:{(62,1),(63,1),(142,1),(146,1),(240,1),(369,1),(381,1),(413,1)}
       101:{2,5,7}:{(63,1),(70,1),(136,1),(143,1),(146,1),(383,1)}
       102:{2,4}:{(64,1),(119,1),(147,1)}
       103:{1,5}:{(65,1),(68,1)}
       104:{2,5,7}:{(65,1),(66,1),(69,1),(149,1),(150,1)}
       105:{1,3,6}:{(66,1),(67,1),(142,1),(150,1)}
       106:{1,5,6}:{(67,1),(70,1),(143,1)}
       107:{1,2,4,6}:{(68,1),(71,1),(72,1),(144,1),(148,1),(151,1),(152,1),(242,1),(244,1),(325,1),(358,1),(376,1),(404,1)}
       108:{1,4,7}:{(68,1),(69,1),(73,1),(149,1)}
       109:{1,3}:{(71,1),(147,1)}
       110:{1,2,7}:{(72,1),(73,1),(215,1)}
       111:{1,3,5,6}:{(74,1),(75,1),(89,1),(153,1),(154,1),(155,1),(180,1),(388,1),(419,1)}
       112:{1,4,5,7}:{(74,1),(76,1),(155,1),(156,1),(168,1),(255,1),(338,1)}
       113:{3,4,6}:{(75,1),(94,1),(158,1),(159,1),(403,1)}
       114:{2,3,5,6}:{(75,1),(77,1),(79,1),(95,1),(154,1),(158,1),(160,1),(161,1),(190,1),(245,1),(282,1)}
       115:{3,5,7}:{(75,1),(76,1),(159,1),(162,1),(336,1)}
       116:{2,4,6,7}:{(76,1),(81,1),(97,1),(156,1),(162,1),(163,1),(169,1),(250,1),(261,1),(396,1)}
       117:{1,3,6}:{(77,1),(78,1),(82,1),(164,1),(165,1)}
       118:{2,3,7}:{(77,1),(83,1),(165,1),(336,1)}
       119:{2,5}:{(78,1),(102,1),(164,1)}
       120:{1,5,6}:{(79,1),(82,1),(103,1),(168,1),(197,1),(333,1),(392,1)}
       121:{2,5,7}:{(79,1),(80,1),(83,1),(168,1),(169,1)}
       122:{1,3,6,7}:{(80,1),(81,1),(105,1),(162,1),(169,1),(345,1)}
       123:{1,5,6,7}:{(81,1),(106,1),(163,1),(338,1),(398,1)}
       124:{1,2,4,6}:{(82,1),(84,1),(164,1),(167,1),(170,1),(171,1),(254,1),(262,1),(264,1)}
       125:{1,4,7}:{(82,1),(83,1),(165,1),(168,1)}
       126:{1,3,5}:{(84,1),(109,1),(166,1),(170,1),(172,1),(279,1)}
       127:{1,3,5}:{(85,1),(86,1),(173,1),(174,1),(279,1),(399,1)}
       128:{2,3,6}:{(86,1),(91,1),(174,1),(175,1),(176,1),(326,1)}
       129:{1,3,7}:{(86,1),(87,1),(176,1),(336,1)}
       130:{1,3,4,5}:{(89,1),(94,1),(153,1),(173,1),(177,1),(185,1),(273,1),(279,1),(350,1),(388,1)}
       131:{2,5}:{(89,1),(91,1),(178,1)}
       132:{1,3,5,7}:{(89,1),(90,1),(92,1),(96,1),(179,1),(180,1)}
       133:{1,4,6}:{(90,1),(97,1),(180,1),(181,1),(197,1)}
       134:{1,4,6}:{(91,1),(175,1),(178,1),(183,1),(270,1),(277,1)}
       135:{2,4,7}:{(91,1),(92,1),(176,1),(179,1),(183,1)}
       136:{1,5,7}:{(93,1),(101,1),(181,1),(357,1)}
       137:{1,2,4}:{(102,1),(157,1),(184,1),(253,1)}
       138:{2,4,5}:{(94,1),(95,1),(158,1),(185,1),(284,1)}
       139:{3,4,5,7}:{(94,1),(96,1),(159,1),(186,1),(187,1),(194,1),(257,1),(353,1),(393,1),(402,1),(422,1)}
       140:{1,3,5}:{(95,1),(98,1),(103,1),(178,1),(185,1),(188,1),(279,1),(333,1),(357,1),(401,1),(402,1),(416,1)}
       141:{2,3,5,7}:{(95,1),(96,1),(99,1),(104,1),(179,1),(186,1),(189,1),(190,1),(342,1),(393,1),(418,1)}
       142:{3,6}:{(96,1),(97,1)}
       143:{2,5,6}:{(97,1),(101,1),(106,1),(181,1),(191,1)}
       144:{2,4,6}:{(98,1),(102,1),(164,1),(188,1),(192,1),(193,1),(284,1),(286,1),(326,1),(346,1)}
       145:{1,3,4,7}:{(98,1),(99,1),(108,1),(165,1),(183,1),(189,1),(193,1),(198,1),(255,1),(278,1),(287,1),(327,1),(334,1),(336,1),(351,1),(353,1),(417,1)}
       146:{3,5,7}:{(100,1),(101,1),(191,1),(194,1),(402,1)}
       147:{2,3}:{(102,1),(109,1),(184,1)}
       148:{1,2,5}:{(103,1),(107,1),(188,1),(195,1),(357,1),(416,1)}
       149:{1,5,7}:{(103,1),(104,1),(108,1),(197,1)}
       150:{2,6}:{(104,1),(105,1),(197,1)}
       151:{1,3,6}:{(107,1),(109,1),(192,1),(195,1),(198,1),(399,1)}
       152:{1,2,4,7}:{(107,1),(108,1),(110,1),(193,1),(196,1),(198,1),(287,1),(385,1),(417,1)}
       153:{1,3,4,6}:{(111,1),(113,1),(130,1),(199,1),(200,1),(207,1),(289,1),(298,1)}
       154:{2,5,6}:{(111,1),(131,1),(199,1),(201,1),(202,1),(230,1),(406,1),(424,1)}
       155:{1,3,5,7}:{(111,1),(112,1),(115,1),(200,1),(202,1),(203,1)}
       156:{1,4,6,7}:{(112,1),(116,1),(133,1),(203,1),(204,1),(219,1),(409,1)}
       157:{1,2,5}:{(119,1),(137,1),(205,1),(206,1)}
       158:{2,4,6}:{(113,1),(114,1),(138,1),(207,1),(208,1)}
       159:{3,4,7}:{(113,1),(115,1),(208,1),(413,1)}
       160:{1,3,5,6}:{(114,1),(117,1),(120,1),(140,1),(201,1),(207,1),(210,1),(211,1),(239,1),(289,1),(298,1),(322,1),(382,1)}
       161:{2,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(202,1),(208,1),(211,1),(212,1),(290,1),(301,1)}
       162:{3,6,7}:{(115,1),(116,1),(142,1),(411,1)}
       163:{2,5,6,7}:{(116,1),(123,1),(143,1),(204,1),(213,1),(301,1),(370,1),(414,1)}
       164:{2,6}:{(117,1),(119,1),(215,1)}
       165:{1,3,7}:{(117,1),(118,1),(125,1),(215,1)}
       166:{2,3,5}:{(119,1),(126,1),(147,1),(206,1),(214,1),(216,1),(306,1)}
       167:{1,2,5,6}:{(120,1),(124,1),(148,1),(210,1),(217,1),(218,1),(244,1),(306,1),(358,1),(373,1)}
       168:{1,5,7}:{(120,1),(121,1),(125,1),(219,1)}
       169:{2,6,7}:{(121,1),(122,1),(150,1),(219,1),(373,1)}
       170:{1,3,6}:{(124,1),(126,1),(214,1),(221,1),(298,1)}
       171:{1,2,4,7}:{(124,1),(125,1),(215,1),(218,1),(221,1),(299,1),(307,1),(309,1)}
       172:{1,3,4}:{(126,1),(216,1),(242,1),(319,1)}
       173:{1,3,4}:{(127,1),(222,1),(242,1),(319,1)}
       174:{2,3,5}:{(127,1),(128,1),(131,1),(222,1),(223,1),(314,1),(377,1)}
       175:{1,3,6}:{(128,1),(134,1),(223,1),(224,1),(225,1)}
       176:{2,3,7}:{(128,1),(129,1),(135,1),(225,1),(360,1)}
       177:{2,4,5}:{(130,1),(131,1),(199,1),(222,1),(226,1),(227,1),(314,1),(379,1),(406,1)}
       178:{1,5}:{(131,1),(134,1)}
       179:{2,5,7}:{(131,1),(132,1),(135,1),(229,1),(230,1)}
       180:{1,3,6}:{(132,1),(133,1),(142,1),(230,1)}
       181:{1,5,6}:{(133,1),(136,1),(143,1)}
       182:{1,2,4,6}:{(134,1),(137,1),(144,1),(205,1),(224,1),(228,1),(231,1),(232,1),(296,1),(313,1),(316,1),(318,1),(380,1)}
       183:{1,4,7}:{(134,1),(135,1),(225,1),(229,1)}
       184:{1,3}:{(137,1),(147,1)}
       185:{1,4,5}:{(138,1),(140,1),(207,1),(233,1),(242,1),(316,1),(415,1)}
       186:{2,4,5,7}:{(138,1),(139,1),(141,1),(208,1),(234,1),(235,1),(301,1),(323,1),(383,1)}
       187:{3,4,6}:{(139,1),(142,1),(235,1),(236,1),(240,1),(411,1),(425,1)}
       188:{2,5}:{(140,1),(144,1)}
       189:{1,3,5,7}:{(140,1),(141,1),(145,1),(149,1),(229,1),(234,1),(238,1),(239,1),(320,1),(366,1),(423,1)}
       190:{2,3,6}:{(141,1),(142,1),(150,1),(230,1),(235,1),(239,1),(373,1),(411,1),(424,1)}
       191:{3,5,6}:{(142,1),(143,1),(146,1),(240,1)}
       192:{2,3,6}:{(144,1),(147,1),(151,1),(231,1),(237,1),(241,1),(298,1),(377,1)}
       193:{2,4,7}:{(144,1),(145,1),(215,1),(238,1),(241,1),(360,1)}
       194:{4,5,7}:{(146,1),(240,1),(413,1),(415,1)}
       195:{1,3,5}:{(148,1),(151,1),(237,1),(242,1)}
       196:{1,2,5,7}:{(148,1),(149,1),(152,1),(238,1),(243,1),(244,1),(423,1)}
       197:{1,6}:{(149,1),(150,1)}
       198:{1,3,7}:{(151,1),(152,1),(241,1)}
       199:{2,4,6}:{(153,1),(154,1),(177,1),(245,1),(246,1),(247,1),(326,1)}
       200:{1,3,4,7}:{(153,1),(155,1),(159,1),(247,1),(255,1),(327,1),(336,1)}
       201:{1,5,6}:{(154,1),(178,1),(246,1),(249,1),(277,1),(416,1),(426,1)}
       202:{2,5,7}:{(154,1),(155,1),(247,1),(249,1),(250,1)}
       203:{1,3,6,7}:{(155,1),(156,1),(162,1),(180,1),(250,1),(419,1)}
       204:{1,5,6,7}:{(156,1),(163,1),(181,1),(338,1),(420,1)}
       205:{1,2,6}:{(157,1),(164,1),(251,1),(252,1)}
       206:{1,3,5}:{(157,1),(166,1),(184,1),(251,1),(253,1),(333,1)}
       207:{1,4,6}:{(158,1),(160,1),(185,1),(254,1),(255,1),(403,1)}
       208:{2,4,7}:{(158,1),(159,1),(161,1),(255,1)}
       209:{3,4,6,7}:{(159,1),(162,1),(187,1),(256,1),(257,1),(261,1)}
       210:{2,5,6}:{(160,1),(164,1),(188,1),(254,1),(259,1),(286,1),(326,1)}
       211:{1,3,5,7}:{(160,1),(161,1),(165,1),(168,1),(249,1),(255,1),(259,1),(260,1),(327,1),(336,1),(338,1),(395,1)}
       212:{2,3,6,7}:{(161,1),(162,1),(169,1),(190,1),(250,1),(256,1),(260,1)}
       213:{3,5,6,7}:{(162,1),(163,1),(191,1),(257,1),(261,1),(395,1),(421,1)}
       214:{2,3,6}:{(164,1),(166,1),(170,1),(251,1),(262,1),(263,1)}
       215:{2,7}:{(164,1),(165,1)}
       216:{2,4}:{(166,1),(172,1),(253,1)}
       217:{1,3,5,6}:{(167,1),(170,1),(195,1),(258,1),(264,1),(265,1),(267,1),(288,1),(345,1),(357,1),(384,1),(398,1),(416,1),(426,1)}
       218:{1,2,5,7}:{(167,1),(168,1),(171,1),(259,1),(265,1),(266,1),(342,1),(385,1)}
       219:{1,6,7}:{(168,1),(169,1),(197,1),(392,1)}
       220:{1,3,4,6}:{(170,1),(172,1),(262,1),(264,1),(267,1),(268,1),(335,1),(345,1)}
       221:{1,3,7}:{(170,1),(171,1),(263,1),(336,1)}
       222:{2,4}:{(173,1),(174,1),(270,1)}
       223:{1,3,5}:{(174,1),(175,1),(178,1),(270,1),(271,1),(347,1)}
       224:{1,2,6}:{(175,1),(271,1),(272,1),(326,1)}
       225:{1,3,7}:{(175,1),(176,1),(183,1),(272,1)}
       226:{2,3,5}:{(177,1),(245,1),(269,1),(273,1),(279,1)}
       227:{1,4,5}:{(177,1),(178,1),(246,1),(270,1),(273,1),(400,1),(416,1)}
       228:{1,2,5}:{(178,1),(182,1),(188,1),(275,1),(333,1),(401,1)}
       229:{1,5,7}:{(178,1),(179,1),(183,1),(277,1)}
       230:{2,6}:{(179,1),(180,1),(277,1)}
       231:{1,3,6}:{(182,1),(184,1),(192,1),(275,1),(278,1),(347,1)}
       232:{1,2,4,7}:{(182,1),(183,1),(193,1),(252,1),(272,1),(276,1),(278,1),(334,1),(351,1)}
       233:{2,4,5}:{(185,1),(188,1),(254,1),(279,1),(284,1)}
       234:{1,4,5,7}:{(185,1),(186,1),(189,1),(255,1),(280,1),(281,1),(287,1),(338,1),(351,1),(357,1),(401,1)}
       235:{2,4,6}:{(186,1),(187,1),(190,1),(281,1),(282,1)}
       236:{3,5,6}:{(187,1),(257,1),(282,1),(283,1),(402,1)}
       237:{2,3,5}:{(188,1),(192,1),(195,1),(275,1),(279,1),(284,1)}
       238:{2,5,7}:{(188,1),(189,1),(193,1),(286,1)}
       239:{1,3,6}:{(189,1),(190,1),(197,1),(277,1),(281,1),(286,1),(354,1),(392,1),(426,1)}
       240:{4,6}:{(191,1),(194,1)}
       241:{2,3,7}:{(192,1),(193,1),(198,1),(278,1),(336,1)}
       242:{1,4}:{(195,1),(284,1)}
       243:{1,3,5,7}:{(195,1),(196,1),(198,1),(285,1),(287,1),(288,1),(357,1)}
       244:{1,2,6}:{(196,1),(197,1),(286,1),(288,1),(426,1)}
       245:{2,3,6}:{(199,1),(226,1),(289,1),(290,1),(298,1)}
       246:{1,4,6}:{(199,1),(201,1),(227,1),(289,1),(292,1)}
       247:{2,4,7}:{(199,1),(200,1),(202,1),(290,1),(292,1),(360,1)}
       248:{1,2,5,6}:{(201,1),(205,1),(210,1),(228,1),(291,1),(293,1),(294,1),(318,1),(406,1),(424,1)}
       249:{1,5,7}:{(201,1),(202,1),(292,1),(295,1)}
       250:{2,6,7}:{(202,1),(203,1),(230,1),(295,1),(424,1)}
       251:{1,3,6}:{(205,1),(206,1),(214,1),(296,1),(297,1)}
       252:{1,2,7}:{(205,1),(215,1),(297,1)}
       253:{1,4}:{(206,1),(216,1)}
       254:{2,4,6}:{(207,1),(210,1),(233,1),(298,1),(299,1)}
       255:{1,4,7}:{(207,1),(208,1),(211,1),(299,1),(413,1)}
       256:{2,4,6,7}:{(208,1),(209,1),(212,1),(235,1),(300,1),(301,1)}
       257:{3,5,7}:{(209,1),(236,1),(301,1),(302,1)}
       258:{2,3,5,6}:{(210,1),(214,1),(217,1),(237,1),(293,1),(298,1),(303,1),(304,1),(306,1),(324,1),(359,1),(367,1),(373,1),(382,1),(383,1),(406,1),(411,1),(414,1),(424,1)}
       259:{2,5,7}:{(210,1),(211,1),(215,1),(299,1),(305,1),(360,1)}
       260:{1,3,6,7}:{(211,1),(212,1),(219,1),(239,1),(295,1),(300,1),(305,1),(369,1)}
       261:{4,6,7}:{(213,1),(240,1),(302,1),(413,1),(425,1)}
       262:{2,4,6}:{(214,1),(216,1),(220,1),(296,1),(306,1),(307,1),(373,1)}
       263:{2,3,7}:{(214,1),(215,1),(221,1),(297,1),(307,1)}
       264:{1,4,6}:{(217,1),(242,1),(303,1),(308,1),(309,1)}
       265:{1,3,5,7}:{(217,1),(218,1),(221,1),(304,1),(309,1),(310,1),(375,1),(405,1),(423,1)}
       266:{1,2,6,7}:{(218,1),(219,1),(244,1),(305,1),(310,1),(373,1)}
       267:{1,3,5}:{(220,1),(306,1),(308,1),(367,1)}
       268:{1,3,4,7}:{(220,1),(221,1),(307,1),(309,1),(311,1),(368,1)}
       269:{2,3,4}:{(222,1),(226,1),(312,1),(319,1),(377,1),(379,1)}
       270:{1,4}:{(222,1),(223,1)}
       271:{1,2,5}:{(223,1),(224,1),(313,1),(314,1)}
       272:{1,2,7}:{(224,1),(225,1),(360,1)}
       273:{1,3,5}:{(226,1),(227,1),(289,1),(312,1),(314,1)}
       274:{1,2,4,5}:{(227,1),(228,1),(233,1),(291,1),(313,1),(314,1),(315,1),(316,1),(363,1),(379,1),(406,1)}
       275:{1,3,5}:{(228,1),(231,1),(237,1),(316,1)}
       276:{1,2,5,7}:{(228,1),(229,1),(232,1),(238,1),(317,1),(318,1),(366,1)}
       277:{1,6}:{(229,1),(230,1)}
       278:{1,3,7}:{(231,1),(232,1),(241,1)}
       279:{3,5}:{(233,1),(298,1),(319,1)}
       280:{2,4,5,7}:{(233,1),(234,1),(238,1),(299,1),(320,1),(321,1),(323,1),(370,1),(383,1),(413,1),(415,1)}
       281:{1,4,6}:{(234,1),(235,1),(239,1),(321,1),(322,1)}
       282:{2,5,6}:{(235,1),(236,1),(301,1),(322,1),(383,1)}
       283:{4,5,6}:{(236,1),(240,1),(302,1),(415,1),(425,1)}
       284:{2,4}:{(237,1),(242,1),(316,1),(319,1)}
       285:{2,3,5,7}:{(237,1),(238,1),(241,1),(243,1),(317,1),(320,1),(323,1),(324,1),(383,1)}
       286:{2,6}:{(238,1),(239,1)}
       287:{1,4,7}:{(242,1),(243,1),(323,1),(325,1)}
       288:{1,3,6}:{(243,1),(244,1),(324,1),(325,1)}
       289:{1,3,6}:{(245,1),(246,1),(273,1),(326,1),(327,1)}
       290:{2,3,7}:{(245,1),(247,1),(327,1),(336,1)}
       291:{1,2,4,6}:{(246,1),(248,1),(254,1),(274,1),(326,1),(328,1),(329,1),(330,1),(386,1)}
       292:{1,4,7}:{(246,1),(247,1),(249,1),(327,1)}
       293:{1,3,5,6}:{(248,1),(251,1),(258,1),(275,1),(328,1),(330,1),(331,1),(333,1),(352,1),(388,1),(392,1),(401,1),(419,1),(420,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(259,1),(329,1),(331,1),(332,1),(418,1)}
       295:{1,6,7}:{(249,1),(250,1),(277,1),(426,1)}
       296:{1,4,6}:{(251,1),(253,1),(262,1),(333,1),(334,1),(392,1)}
       297:{1,3,7}:{(251,1),(252,1),(263,1),(334,1)}
       298:{3,6}:{(254,1),(279,1),(336,1)}
       299:{2,4,7}:{(254,1),(255,1),(259,1),(336,1)}
       300:{1,4,6,7}:{(255,1),(256,1),(260,1),(281,1),(337,1),(338,1)}
       301:{2,5,7}:{(256,1),(257,1),(282,1),(338,1)}
       302:{4,5,7}:{(257,1),(261,1),(283,1)}
       303:{2,4,6}:{(258,1),(264,1),(284,1),(330,1),(335,1),(339,1),(340,1),(403,1)}
       304:{2,3,5,7}:{(258,1),(259,1),(263,1),(265,1),(331,1),(336,1),(340,1),(341,1),(342,1),(387,1),(393,1),(395,1),(397,1),(418,1)}
       305:{2,6,7}:{(259,1),(260,1),(286,1)}
       306:{2,5}:{(262,1),(267,1),(333,1)}
       307:{2,4,7}:{(262,1),(263,1),(268,1),(334,1),(342,1)}
       308:{1,4,5}:{(264,1),(267,1),(339,1),(357,1),(416,1)}
       309:{1,4,7}:{(264,1),(265,1),(340,1)}
       310:{1,3,6,7}:{(265,1),(266,1),(288,1),(341,1),(344,1),(345,1),(426,1)}
       311:{1,3,5,7}:{(267,1),(268,1),(342,1),(343,1),(345,1),(393,1)}
       312:{1,3,4}:{(269,1),(270,1),(273,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(270,1),(271,1),(346,1),(347,1)}
       314:{2,5}:{(273,1),(326,1),(346,1)}
       315:{1,3,5}:{(274,1),(279,1),(328,1),(347,1),(349,1),(350,1)}
       316:{1,4}:{(275,1),(284,1)}
       317:{1,3,5,7}:{(275,1),(276,1),(278,1),(285,1),(351,1),(352,1),(401,1)}
       318:{1,2,6}:{(276,1),(277,1),(286,1),(352,1),(392,1)}
       319:{3,4}:{(279,1),(284,1)}
       320:{3,5,7}:{(279,1),(280,1),(336,1),(353,1),(354,1),(402,1)}
       321:{2,4,6}:{(280,1),(281,1),(286,1),(354,1),(355,1),(403,1)}
       322:{1,5,6}:{(281,1),(282,1),(338,1),(355,1),(357,1),(401,1)}
       323:{2,4,7}:{(284,1),(285,1),(287,1),(351,1),(353,1),(356,1)}
       324:{2,3,6}:{(285,1),(286,1),(288,1),(352,1),(354,1),(356,1)}
       325:{1,4,6}:{(287,1),(288,1),(356,1),(357,1)}
       326:{2,6}:{(289,1),(314,1),(360,1)}
       327:{1,3,7}:{(289,1),(290,1),(292,1),(360,1)}
       328:{1,3,6}:{(291,1),(298,1),(315,1),(359,1),(362,1)}
       329:{1,2,4,7}:{(291,1),(292,1),(294,1),(299,1),(360,1),(362,1),(364,1),(407,1)}
       330:{1,4,6}:{(293,1),(303,1),(316,1),(363,1),(364,1)}
       331:{1,3,5,7}:{(293,1),(294,1),(297,1),(304,1),(362,1),(364,1),(365,1),(366,1),(410,1)}
       332:{1,2,6,7}:{(294,1),(295,1),(305,1),(318,1),(365,1),(424,1)}
       333:{1,5}:{(296,1),(306,1)}
       334:{1,4,7}:{(296,1),(297,1),(307,1),(366,1)}
       335:{3,4,6}:{(298,1),(303,1),(319,1),(367,1),(368,1),(411,1)}
       336:{3,7}:{(298,1),(299,1)}
       337:{2,4,6,7}:{(299,1),(300,1),(305,1),(321,1),(369,1),(370,1),(413,1)}
       338:{1,5,7}:{(300,1),(301,1),(322,1),(370,1)}
       339:{2,4,5}:{(303,1),(306,1),(308,1),(363,1),(367,1),(383,1),(406,1),(415,1)}
       340:{2,4,7}:{(303,1),(304,1),(309,1),(364,1),(368,1),(413,1)}
       341:{2,3,6,7}:{(304,1),(305,1),(310,1),(324,1),(365,1),(369,1),(372,1),(373,1),(411,1),(424,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,5,7}:{(308,1),(309,1),(311,1),(371,1),(374,1),(375,1),(423,1)}
       344:{1,4,6,7}:{(309,1),(310,1),(325,1),(372,1),(374,1),(375,1)}
       345:{1,3,6}:{(311,1),(373,1),(374,1),(411,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(359,1),(377,1),(378,1),(379,1),(406,1)}
       350:{1,3,4}:{(315,1),(316,1),(319,1),(379,1)}
       351:{1,4,7}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,3,6}:{(317,1),(318,1),(324,1),(380,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(381,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(370,1),(382,1),(383,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(381,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(326,1),(348,1),(384,1),(385,1)}
       359:{2,3,6}:{(326,1),(328,1),(349,1),(384,1),(386,1),(387,1)}
       360:{2,7}:{(326,1),(327,1)}
       361:{1,3,4,6}:{(328,1),(330,1),(335,1),(350,1),(386,1),(388,1),(389,1),(419,1)}
       362:{1,3,7}:{(328,1),(329,1),(336,1),(387,1)}
       363:{1,4,5}:{(330,1),(333,1),(339,1),(388,1),(401,1)}
       364:{1,4,7}:{(330,1),(331,1),(340,1)}
       365:{1,3,6,7}:{(331,1),(332,1),(341,1),(352,1),(391,1),(392,1),(419,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{3,5}:{(335,1),(339,1)}
       368:{3,4,7}:{(335,1),(336,1),(340,1),(393,1)}
       369:{3,6,7}:{(336,1),(337,1),(354,1),(395,1)}
       370:{2,5,7}:{(337,1),(338,1),(355,1),(395,1)}
       371:{2,4,5,7}:{(339,1),(340,1),(342,1),(343,1),(390,1),(393,1),(396,1),(397,1),(418,1),(422,1)}
       372:{2,4,6,7}:{(340,1),(341,1),(344,1),(356,1),(391,1),(394,1),(396,1),(397,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,4,6}:{(343,1),(345,1),(396,1),(398,1),(426,1)}
       375:{1,5,7}:{(344,1),(357,1),(397,1),(398,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(384,1),(399,1),(400,1),(416,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,4,6}:{(353,1),(354,1),(356,1),(402,1),(403,1)}
       382:{3,5,6}:{(354,1),(355,1),(395,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(402,1)}
       384:{1,3,6}:{(358,1),(359,1),(378,1),(404,1),(405,1)}
       385:{1,2,7}:{(358,1),(360,1),(405,1)}
       386:{2,4,6}:{(359,1),(361,1),(379,1),(404,1),(406,1),(407,1),(424,1)}
       387:{2,3,7}:{(359,1),(360,1),(362,1),(405,1),(407,1)}
       388:{1,3,5}:{(361,1),(363,1),(367,1),(406,1)}
       389:{1,3,4,7}:{(361,1),(362,1),(364,1),(368,1),(407,1),(408,1)}
       390:{1,4,5,7}:{(363,1),(364,1),(366,1),(371,1),(408,1),(409,1),(410,1)}
       391:{1,4,6,7}:{(364,1),(365,1),(372,1),(380,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(371,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(372,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(382,1),(413,1)}
       396:{2,4,6}:{(371,1),(373,1),(374,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       397:{2,5,7}:{(372,1),(375,1),(383,1),(410,1),(412,1),(414,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{3,5}:{(381,1),(383,1),(415,1)}
       403:{4,6}:{(382,1),(413,1),(415,1)}
       404:{1,4,6}:{(384,1),(386,1),(400,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(384,1),(385,1),(387,1),(417,1)}
       406:{2,5}:{(386,1),(388,1),(416,1)}
       407:{2,4,7}:{(386,1),(387,1),(389,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(390,1),(393,1),(418,1),(419,1)}
       409:{1,4,6}:{(390,1),(392,1),(396,1),(419,1),(420,1)}
       410:{1,5,7}:{(391,1),(397,1),(401,1),(420,1)}
       411:{3,6}:{(393,1),(396,1)}
       412:{3,5,7}:{(394,1),(397,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(395,1),(403,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(421,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 660 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(128,1),(184,1),(237,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(149,1),(260,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(158,1),(166,1),(212,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(70,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(70,1),(119,1),(184,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(120,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(29,1),(85,1),(129,1),(186,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(30,1),(39,1),(41,1),(76,1),(85,1),(120,1),(126,1),(138,1),(198,1),(200,1),(237,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(47,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(48,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(91,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(48,1),(92,1),(105,1),(212,1),(260,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(149,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(47,1),(61,1),(101,1),(149,1),(156,1),(214,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(48,1),(60,1),(170,1),(226,1),(227,1),(260,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(36,1),(66,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(28,1),(29,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(29,1),(32,1),(70,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(30,1),(32,1),(39,1),(120,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(119,1),(177,1),(184,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(28,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(29,1),(35,1),(37,1),(42,1),(70,1),(82,1),(85,1),(119,1),(133,1),(136,1),(186,1),(201,1),(240,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(70,1),(240,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(126,1),(142,1),(201,1)}
        28:{1,5,7}:{(16,1),(17,1),(44,1),(113,1)}
        29:{2,5,6}:{(17,1),(18,1),(44,1),(47,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(23,1),(45,1),(47,1),(48,1),(57,1),(92,1)}
        31:{1,3,5,6,7}:{(18,1),(46,1),(49,1),(94,1),(98,1),(266,1)}
        32:{1,4,6}:{(18,1),(19,1),(47,1),(149,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(48,1),(51,1),(52,1),(60,1),(97,1),(98,1),(109,1),(151,1),(162,1),(171,1),(211,1),(220,1),(227,1),(260,1),(265,1),(297,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(92,1),(204,1),(212,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(44,1),(53,1),(55,1),(63,1),(91,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(48,1),(58,1),(260,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(156,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{1,5,6}:{(28,1),(29,1),(66,1)}
        45:{1,4,5,7}:{(28,1),(30,1),(36,1),(66,1),(67,1),(79,1)}
        46:{2,5,6,7}:{(29,1),(31,1),(65,1),(68,1),(127,1),(282,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(66,1),(70,1),(119,1)}
        48:{3,5,7}:{(30,1),(38,1),(70,1),(82,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(68,1),(72,1),(177,1),(284,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(69,1),(72,1),(74,1),(179,1),(185,1),(245,1),(284,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(70,1),(74,1),(75,1),(123,1),(125,1),(185,1),(240,1),(284,1),(307,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(85,1),(126,1),(127,1),(139,1),(182,1),(188,1),(200,1),(237,1),(242,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(119,1),(136,1),(143,1),(179,1),(186,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(237,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(67,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(70,1),(82,1),(240,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(71,1),(81,1),(83,1),(84,1),(142,1),(182,1),(188,1),(229,1),(251,1),(280,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(126,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(158,1),(293,1)}
        66:{1,4,6}:{(44,1),(45,1),(47,1),(91,1)}
        67:{1,3,5,7}:{(45,1),(48,1),(56,1),(91,1),(92,1),(106,1)}
        68:{2,4,6,7}:{(46,1),(47,1),(49,1),(89,1),(93,1),(94,1),(146,1),(298,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(57,1),(90,1),(93,1),(95,1),(100,1),(148,1),(154,1),(214,1),(264,1),(298,1)}
        70:{3,6}:{(47,1),(48,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(59,1),(92,1),(96,1),(97,1),(110,1),(227,1),(260,1),(297,1),(309,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(93,1),(98,1),(204,1),(211,1)}
        73:{1,3,4,6,7}:{(49,1),(51,1),(94,1),(98,1),(99,1),(151,1),(153,1),(211,1),(260,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(95,1),(98,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(96,1),(100,1),(101,1),(156,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(97,1),(101,1),(113,1),(158,1),(171,1),(210,1),(211,1),(259,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(207,1),(214,1),(256,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(260,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(91,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(92,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(96,1),(107,1),(110,1),(111,1),(154,1),(173,1),(206,1),(216,1),(221,1),(228,1),(263,1),(295,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(97,1),(108,1),(111,1),(112,1),(115,1),(170,1),(210,1),(211,1),(252,1),(260,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(156,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(68,1),(116,1),(117,1),(304,1)}
        90:{1,4,5,6}:{(66,1),(69,1),(79,1),(116,1),(118,1),(129,1),(185,1),(279,1),(304,1)}
        91:{1,3,6}:{(66,1),(67,1),(70,1),(119,1)}
        92:{2,5,7}:{(67,1),(81,1),(119,1),(120,1),(136,1)}
        93:{2,4,5,7}:{(68,1),(69,1),(72,1),(116,1),(121,1),(127,1),(176,1),(182,1),(237,1)}
        94:{3,6,7}:{(68,1),(70,1),(121,1),(307,1)}
        95:{3,5,6}:{(69,1),(70,1),(82,1),(121,1),(123,1),(240,1),(283,1),(307,1)}
        96:{2,3,6}:{(70,1),(71,1),(75,1),(119,1),(125,1),(240,1),(307,1),(313,1)}
        97:{1,3,5,7}:{(71,1),(76,1),(84,1),(120,1),(125,1),(126,1),(140,1),(312,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(121,1),(127,1)}
        99:{2,4,6,7}:{(73,1),(75,1),(122,1),(127,1),(128,1),(182,1),(184,1),(237,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(127,1),(129,1),(242,1)}
       101:{1,4,6}:{(75,1),(76,1),(125,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(126,1),(130,1),(131,1),(143,1),(188,1),(189,1),(200,1),(202,1),(237,1),(242,1),(243,1),(245,1),(281,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(240,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(119,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(120,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(123,1),(139,1),(251,1),(283,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(242,1),(283,1),(306,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(125,1),(137,1),(140,1),(141,1),(144,1),(185,1),(199,1),(202,1),(233,1),(236,1),(240,1),(246,1),(250,1),(251,1),(305,1)}
       112:{2,4,7}:{(84,1),(126,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(276,1),(285,1),(305,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(93,1),(145,1),(158,1),(211,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(94,1),(145,1),(146,1),(310,1)}
       118:{1,3,5,6}:{(90,1),(91,1),(95,1),(106,1),(145,1),(147,1),(148,1),(296,1),(310,1)}
       119:{2,6}:{(91,1),(92,1),(149,1)}
       120:{1,5,7}:{(92,1),(108,1),(149,1),(168,1)}
       121:{3,5,7}:{(93,1),(94,1),(95,1),(151,1),(260,1)}
       122:{2,3,6,7}:{(94,1),(96,1),(99,1),(146,1),(152,1),(153,1),(260,1)}
       123:{3,4,6}:{(95,1),(109,1),(151,1),(154,1)}
       124:{2,3,5,6}:{(95,1),(96,1),(100,1),(110,1),(148,1),(152,1),(154,1),(155,1),(206,1)}
       125:{1,3,6}:{(96,1),(97,1),(101,1),(149,1),(156,1),(314,1)}
       126:{2,5,7}:{(97,1),(112,1),(156,1),(172,1)}
       127:{2,5,7}:{(98,1),(99,1),(100,1),(158,1)}
       128:{1,4,6,7}:{(99,1),(101,1),(153,1),(158,1),(211,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(158,1),(259,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(156,1),(160,1),(161,1),(214,1),(216,1),(219,1),(298,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(157,1),(161,1),(162,1),(174,1),(220,1),(227,1),(260,1),(297,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(256,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(147,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(296,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(149,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(150,1),(166,1),(169,1),(170,1),(210,1)}
       139:{2,4,5}:{(109,1),(110,1),(154,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(259,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(156,1),(172,1),(173,1),(228,1),(256,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(260,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(121,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(119,1),(176,1),(177,1),(313,1)}
       147:{1,3,4,6}:{(118,1),(123,1),(135,1),(175,1),(178,1),(185,1),(233,1),(240,1)}
       148:{2,5,6}:{(118,1),(119,1),(136,1),(176,1),(178,1),(179,1),(306,1),(313,1)}
       149:{1,6}:{(119,1),(120,1)}
       150:{1,2,5,7}:{(120,1),(126,1),(138,1),(180,1),(181,1),(198,1)}
       151:{3,4,7}:{(121,1),(123,1),(182,1)}
       152:{2,3,5,7}:{(121,1),(122,1),(124,1),(127,1),(176,1),(182,1),(183,1),(229,1)}
       153:{1,3,6,7}:{(122,1),(125,1),(128,1),(177,1),(183,1),(184,1)}
       154:{2,4,6}:{(123,1),(124,1),(139,1),(182,1),(185,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(129,1),(140,1),(179,1),(183,1),(185,1),(186,1),(233,1),(240,1)}
       156:{2,6}:{(125,1),(126,1)}
       157:{2,3,5,7}:{(126,1),(131,1),(142,1),(181,1),(187,1),(188,1),(201,1),(242,1)}
       158:{1,5,7}:{(127,1),(128,1),(129,1)}
       159:{1,2,4,6,7}:{(128,1),(130,1),(184,1),(189,1),(190,1),(237,1),(239,1),(243,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(186,1),(189,1),(191,1),(242,1),(276,1),(282,1)}
       161:{1,3,6}:{(130,1),(131,1),(187,1),(240,1),(307,1)}
       162:{1,3,4,7}:{(131,1),(188,1),(192,1),(202,1),(243,1),(251,1),(280,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(178,1),(193,1),(196,1),(197,1),(248,1),(288,1),(306,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(180,1),(195,1),(198,1),(199,1),(236,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(185,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(240,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(151,1),(203,1),(211,1),(252,1),(260,1)}
       176:{2,5,7}:{(145,1),(146,1),(148,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(149,1),(204,1),(314,1)}
       178:{2,4,6}:{(147,1),(148,1),(167,1),(203,1),(206,1),(207,1),(256,1)}
       179:{1,5,6}:{(148,1),(149,1),(168,1),(204,1),(207,1),(311,1),(314,1)}
       180:{1,2,6}:{(149,1),(150,1),(156,1),(209,1)}
       181:{1,3,5,7}:{(150,1),(157,1),(170,1),(209,1),(210,1),(226,1),(259,1)}
       182:{2,4,7}:{(151,1),(152,1),(154,1),(211,1)}
       183:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(204,1),(211,1),(212,1),(252,1),(260,1)}
       184:{2,6,7}:{(153,1),(156,1),(212,1)}
       185:{1,4,6}:{(154,1),(155,1),(171,1),(211,1),(214,1)}
       186:{2,5,6}:{(155,1),(156,1),(172,1),(212,1),(214,1),(256,1)}
       187:{2,3,6}:{(156,1),(157,1),(161,1),(209,1),(216,1)}
       188:{2,4,7}:{(157,1),(162,1),(210,1),(216,1),(228,1)}
       189:{1,2,5,7}:{(158,1),(159,1),(160,1),(212,1),(217,1),(262,1),(289,1)}
       190:{1,3,6,7}:{(159,1),(161,1),(213,1),(217,1),(260,1),(314,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(215,1),(217,1),(219,1),(220,1),(294,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(216,1),(219,1),(220,1),(263,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(256,1)}
       196:{2,3,5}:{(167,1),(206,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(207,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(259,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(214,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(178,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(179,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(184,1),(231,1),(232,1),(313,1)}
       206:{2,3,6}:{(178,1),(196,1),(229,1),(233,1),(240,1)}
       207:{1,4,6}:{(178,1),(179,1),(197,1),(230,1),(233,1)}
       208:{1,2,5,6}:{(179,1),(180,1),(186,1),(198,1),(231,1),(234,1),(235,1),(306,1),(313,1)}
       209:{1,3,6}:{(180,1),(181,1),(187,1),(236,1)}
       210:{1,4,7}:{(181,1),(188,1),(236,1),(250,1)}
       211:{1,4,7}:{(182,1),(183,1),(185,1),(237,1)}
       212:{2,5,7}:{(183,1),(184,1),(186,1),(237,1),(272,1)}
       213:{2,3,6,7}:{(184,1),(187,1),(190,1),(232,1),(238,1),(239,1),(307,1),(313,1)}
       214:{2,4,6}:{(185,1),(186,1),(200,1),(237,1),(240,1)}
       215:{2,3,5,6}:{(186,1),(187,1),(191,1),(201,1),(235,1),(238,1),(240,1),(241,1),(242,1),(277,1),(282,1),(283,1),(306,1),(307,1),(313,1)}
       216:{2,4,6}:{(187,1),(188,1),(192,1),(236,1),(242,1)}
       217:{1,3,5,7}:{(189,1),(190,1),(191,1),(238,1),(243,1),(301,1),(312,1)}
       218:{1,3,4,6,7}:{(190,1),(192,1),(239,1),(243,1),(244,1),(280,1),(284,1),(307,1)}
       219:{1,4,6}:{(191,1),(202,1),(241,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(242,1),(245,1),(283,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(233,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(234,1),(247,1),(248,1),(249,1),(250,1),(279,1),(288,1),(306,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(240,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(206,1),(252,1),(260,1)}
       230:{1,4,7}:{(203,1),(204,1),(207,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(208,1),(212,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(209,1),(213,1),(254,1),(255,1),(310,1)}
       233:{1,3,6}:{(206,1),(207,1),(224,1),(252,1),(256,1)}
       234:{1,2,4,6}:{(207,1),(208,1),(214,1),(225,1),(253,1),(256,1),(257,1),(258,1),(295,1)}
       235:{1,3,5,6}:{(208,1),(209,1),(215,1),(226,1),(254,1),(257,1),(258,1),(259,1),(293,1),(296,1),(310,1)}
       236:{1,4,6}:{(209,1),(210,1),(216,1),(259,1)}
       237:{2,4,7}:{(211,1),(212,1),(214,1),(260,1)}
       238:{2,3,5,7}:{(212,1),(213,1),(215,1),(217,1),(254,1),(260,1),(261,1),(262,1),(290,1),(297,1),(309,1)}
       239:{2,4,6,7}:{(213,1),(216,1),(218,1),(255,1),(261,1),(262,1),(298,1)}
       240:{3,6}:{(214,1),(227,1),(260,1)}
       241:{2,4,6}:{(215,1),(219,1),(228,1),(258,1),(261,1),(263,1),(264,1)}
       242:{2,5}:{(216,1),(220,1),(259,1)}
       243:{1,4,7}:{(217,1),(219,1),(261,1)}
       244:{1,3,5,7}:{(218,1),(220,1),(262,1),(265,1),(266,1),(297,1)}
       245:{1,4,5}:{(219,1),(220,1),(264,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(256,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(257,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(233,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(234,1),(237,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(235,1),(238,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(236,1),(239,1),(274,1),(275,1),(304,1)}
       256:{2,6}:{(233,1),(248,1),(272,1)}
       257:{1,3,6}:{(234,1),(240,1),(249,1),(273,1),(277,1)}
       258:{1,4,6}:{(235,1),(241,1),(250,1),(274,1),(279,1)}
       259:{1,5}:{(236,1),(242,1)}
       260:{3,7}:{(237,1),(240,1)}
       261:{2,4,7}:{(238,1),(241,1),(243,1),(274,1),(280,1)}
       262:{2,5,7}:{(239,1),(242,1),(244,1),(275,1),(282,1)}
       263:{3,4,6}:{(240,1),(241,1),(251,1),(280,1),(283,1),(307,1)}
       264:{2,4,5}:{(241,1),(242,1),(245,1),(279,1),(283,1),(306,1)}
       265:{1,4,5,7}:{(243,1),(244,1),(245,1),(281,1),(284,1),(312,1)}
       266:{1,3,5,6}:{(244,1),(282,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(276,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(277,1),(286,1),(287,1),(288,1),(306,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(256,1)}
       273:{1,3,7}:{(253,1),(257,1),(260,1),(290,1)}
       274:{1,4,7}:{(254,1),(258,1),(261,1)}
       275:{1,5,7}:{(255,1),(259,1),(262,1),(293,1)}
       276:{1,2,6}:{(256,1),(269,1),(289,1),(294,1)}
       277:{2,3,6}:{(256,1),(257,1),(270,1),(290,1),(294,1),(295,1)}
       278:{1,3,4,6}:{(257,1),(258,1),(263,1),(271,1),(291,1),(295,1),(296,1),(310,1)}
       279:{1,4,5}:{(258,1),(259,1),(264,1),(296,1)}
       280:{3,4,7}:{(260,1),(261,1),(263,1),(297,1)}
       281:{2,4,5,7}:{(261,1),(262,1),(264,1),(265,1),(292,1),(297,1),(298,1),(309,1)}
       282:{2,5,6}:{(262,1),(266,1),(293,1),(298,1)}
       283:{3,5}:{(263,1),(264,1)}
       284:{1,4,6}:{(265,1),(266,1),(298,1),(314,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(294,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(276,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(277,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(278,1),(280,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(279,1),(281,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(282,1),(304,1)}
       294:{1,3,6}:{(276,1),(277,1),(287,1),(301,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(288,1),(302,1),(305,1),(306,1),(313,1)}
       296:{1,3,5}:{(278,1),(279,1),(283,1),(306,1)}
       297:{3,5,7}:{(280,1),(281,1),(283,1),(307,1)}
       298:{2,4,6}:{(281,1),(282,1),(284,1),(304,1),(307,1),(313,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(294,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(295,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(296,1),(297,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(298,1),(310,1)}
       305:{1,4,6}:{(294,1),(295,1),(300,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(295,1),(296,1),(311,1)}
       307:{3,6}:{(297,1),(298,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 661 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(52,1),(53,1),(89,1)}
         1:{2,5,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(73,1)}
         2:{1,4,6}:{(0,1),(5,1),(7,1),(9,1),(59,1),(109,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(29,1),(36,1),(71,1)}
         4:{1,5,6}:{(1,1),(11,1),(12,1),(50,1),(92,1)}
         5:{2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(39,1)}
         6:{2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1)}
         7:{1,4,5}:{(2,1),(13,1),(17,1),(76,1),(83,1),(124,1),(163,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(42,1),(46,1),(52,1),(83,1),(85,1),(120,1),(122,1),(147,1),(163,1)}
         9:{1,4,7}:{(2,1),(3,1),(15,1),(80,1),(91,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(48,1),(52,1),(146,1)}
        11:{1,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1)}
        12:{1,5,7}:{(4,1),(6,1),(24,1),(25,1)}
        13:{2,4,5}:{(5,1),(7,1),(22,1),(26,1),(31,1),(56,1),(63,1),(103,1)}
        14:{3,6}:{(5,1),(26,1),(29,1)}
        15:{2,4,7}:{(5,1),(6,1),(9,1),(24,1),(29,1),(60,1)}
        16:{2,6,7}:{(6,1),(10,1),(25,1),(73,1),(155,1)}
        17:{1,3,5}:{(7,1),(8,1),(26,1),(31,1),(106,1),(138,1),(156,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(36,1),(97,1),(104,1),(134,1),(138,1),(152,1)}
        19:{2,4,6}:{(8,1),(28,1),(31,1),(34,1),(35,1),(63,1),(69,1),(73,1),(103,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(32,1),(35,1),(64,1),(70,1),(104,1),(136,1),(165,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(36,1),(100,1),(134,1)}
        22:{1,4,5}:{(11,1),(13,1),(37,1),(50,1),(83,1)}
        23:{1,3,6}:{(11,1),(14,1),(37,1),(39,1),(40,1)}
        24:{1,4,7}:{(11,1),(12,1),(15,1),(40,1)}
        25:{1,6,7}:{(12,1),(16,1),(92,1),(162,1)}
        26:{3,5}:{(13,1),(14,1),(42,1),(120,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(18,1),(38,1),(44,1),(45,1),(49,1),(51,1),(77,1),(84,1),(91,1),(119,1),(121,1),(123,1),(124,1),(143,1),(148,1),(163,1)}
        28:{2,3,6}:{(14,1),(19,1),(39,1),(43,1),(46,1),(47,1),(120,1),(147,1)}
        29:{3,7}:{(14,1),(15,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(21,1),(41,1),(45,1),(48,1),(49,1),(81,1),(91,1),(119,1)}
        31:{2,5}:{(17,1),(19,1),(50,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(20,1),(44,1),(51,1),(52,1),(146,1),(160,1)}
        33:{1,4,6}:{(18,1),(45,1),(52,1),(53,1),(115,1)}
        34:{1,4,6}:{(19,1),(46,1),(50,1),(54,1),(83,1),(92,1)}
        35:{2,4,7}:{(19,1),(20,1),(47,1),(51,1),(54,1),(90,1),(169,1)}
        36:{1,5,7}:{(21,1),(49,1),(53,1)}
        37:{1,3,5}:{(22,1),(23,1),(26,1),(55,1),(56,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(27,1),(57,1),(58,1),(62,1),(72,1),(102,1),(104,1),(131,1),(138,1)}
        39:{2,6}:{(23,1),(56,1),(59,1),(60,1)}
        40:{1,3,7}:{(23,1),(24,1),(29,1),(60,1)}
        41:{1,4,6,7}:{(24,1),(25,1),(30,1),(58,1),(61,1),(62,1),(102,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,3,5}:{(26,1),(28,1),(31,1),(56,1),(63,1),(65,1),(93,1),(156,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(67,1),(106,1),(135,1),(136,1),(153,1),(156,1)}
        45:{2,4,6}:{(27,1),(33,1),(58,1),(67,1),(68,1),(73,1),(98,1),(109,1)}
        46:{1,3,6}:{(28,1),(34,1),(59,1),(65,1),(69,1),(70,1)}
        47:{2,3,7}:{(28,1),(29,1),(35,1),(60,1),(70,1),(136,1),(171,1)}
        48:{3,6,7}:{(29,1),(30,1),(67,1),(71,1),(135,1)}
        49:{2,5,7}:{(30,1),(36,1),(62,1),(68,1),(71,1)}
        50:{1,5}:{(31,1),(34,1)}
        51:{2,5,7}:{(31,1),(32,1),(35,1),(72,1),(73,1),(155,1),(166,1)}
        52:{1,3,6}:{(32,1),(33,1),(67,1),(73,1)}
        53:{1,5,6}:{(33,1),(36,1),(68,1),(138,1)}
        54:{1,4,7}:{(34,1),(35,1),(70,1),(72,1),(172,1)}
        55:{1,3,4}:{(37,1),(42,1),(74,1),(83,1),(110,1),(120,1)}
        56:{2,5}:{(37,1),(39,1),(74,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(44,1),(75,1),(77,1),(78,1),(114,1)}
        58:{1,4,6}:{(38,1),(45,1),(78,1),(79,1),(92,1)}
        59:{1,6}:{(39,1),(76,1),(80,1)}
        60:{2,7}:{(39,1),(40,1),(80,1)}
        61:{1,3,6,7}:{(40,1),(41,1),(48,1),(78,1),(81,1),(82,1)}
        62:{1,5,7}:{(41,1),(49,1),(79,1)}
        63:{2,4}:{(42,1),(43,1),(83,1),(163,1)}
        64:{3,4,7}:{(42,1),(44,1),(84,1),(85,1),(91,1),(159,1),(163,1)}
        65:{1,3,5}:{(43,1),(46,1),(50,1),(76,1),(83,1),(86,1),(110,1),(120,1)}
        66:{2,3,5,7}:{(43,1),(44,1),(47,1),(51,1),(77,1),(84,1),(87,1),(88,1),(111,1),(123,1),(141,1)}
        67:{3,6}:{(44,1),(45,1)}
        68:{2,5,6}:{(45,1),(49,1),(53,1),(79,1),(89,1),(123,1),(148,1)}
        69:{2,6}:{(46,1),(86,1),(90,1)}
        70:{1,3,7}:{(46,1),(47,1),(54,1),(80,1),(90,1),(173,1)}
        71:{3,5,7}:{(48,1),(49,1),(89,1),(91,1)}
        72:{1,5,7}:{(50,1),(51,1),(54,1),(92,1),(162,1),(170,1)}
        73:{2,6}:{(51,1),(52,1),(92,1)}
        74:{2,4}:{(55,1),(56,1),(93,1),(94,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(64,1),(95,1),(96,1),(102,1),(104,1),(127,1),(135,1),(136,1)}
        76:{1,5}:{(56,1),(59,1),(94,1)}
        77:{2,5,7}:{(56,1),(57,1),(60,1),(95,1),(97,1),(98,1),(130,1)}
        78:{1,3,6}:{(57,1),(58,1),(67,1),(98,1)}
        79:{1,5,6}:{(58,1),(62,1),(68,1),(138,1)}
        80:{1,7}:{(59,1),(60,1)}
        81:{2,6,7}:{(60,1),(61,1),(98,1),(100,1),(101,1)}
        82:{1,3,5,7}:{(61,1),(62,1),(71,1),(99,1),(101,1),(102,1),(135,1)}
        83:{1,4}:{(63,1),(65,1),(103,1)}
        84:{2,4,7}:{(63,1),(64,1),(66,1),(104,1),(105,1),(151,1)}
        85:{3,4,6}:{(64,1),(67,1),(105,1),(106,1),(109,1)}
        86:{2,5}:{(65,1),(69,1),(103,1),(126,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(97,1),(104,1),(107,1),(108,1),(127,1),(136,1),(138,1),(150,1),(156,1)}
        88:{2,3,6}:{(66,1),(67,1),(73,1),(98,1),(105,1),(108,1)}
        89:{3,5,6}:{(67,1),(68,1),(71,1),(106,1),(109,1),(156,1)}
        90:{2,7}:{(69,1),(70,1),(174,1)}
        91:{4,7}:{(71,1),(109,1)}
        92:{1,6}:{(72,1),(73,1)}
        93:{2,3}:{(74,1),(110,1),(120,1)}
        94:{1,4}:{(74,1),(76,1),(110,1)}
        95:{2,4,7}:{(74,1),(75,1),(77,1),(111,1),(112,1),(113,1),(139,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(85,1),(113,1),(114,1),(117,1),(122,1),(140,1),(145,1),(147,1),(158,1),(159,1),(163,1),(168,1)}
        97:{1,5,7}:{(76,1),(77,1),(80,1),(112,1),(115,1),(142,1)}
        98:{2,6}:{(77,1),(78,1),(115,1)}
        99:{1,3,5,6}:{(78,1),(79,1),(82,1),(89,1),(114,1),(116,1),(117,1),(145,1)}
       100:{1,6,7}:{(80,1),(81,1),(115,1),(118,1)}
       101:{2,5,7}:{(81,1),(82,1),(116,1),(118,1),(119,1)}
       102:{1,4,7}:{(82,1),(91,1),(117,1),(119,1),(162,1)}
       103:{2,4}:{(83,1),(86,1),(120,1)}
       104:{1,4,7}:{(83,1),(84,1),(87,1),(121,1),(122,1),(158,1),(163,1)}
       105:{2,4,6}:{(84,1),(85,1),(88,1),(122,1),(123,1)}
       106:{3,5}:{(85,1),(123,1),(124,1)}
       107:{2,5,7}:{(86,1),(87,1),(90,1),(121,1),(125,1),(139,1),(148,1),(157,1)}
       108:{1,3,6}:{(87,1),(88,1),(92,1),(115,1),(122,1),(125,1),(147,1)}
       109:{4,6}:{(89,1),(91,1),(124,1),(163,1)}
       110:{1,3}:{(93,1),(94,1),(126,1)}
       111:{2,3,7}:{(93,1),(95,1),(127,1),(128,1),(135,1),(136,1),(155,1)}
       112:{1,4,7}:{(94,1),(95,1),(97,1),(127,1),(129,1)}
       113:{2,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1),(130,1),(149,1),(151,1),(164,1)}
       114:{1,3,5}:{(96,1),(106,1),(130,1),(131,1),(138,1),(153,1),(156,1)}
       115:{1,6}:{(97,1),(98,1)}
       116:{2,5,6}:{(98,1),(99,1),(101,1),(130,1),(132,1),(133,1)}
       117:{1,4,6}:{(99,1),(102,1),(109,1),(131,1),(133,1),(167,1)}
       118:{1,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{2,4,7}:{(101,1),(102,1),(133,1),(134,1),(135,1),(155,1)}
       120:{3}:{(103,1)}
       121:{2,4,7}:{(103,1),(104,1),(107,1),(136,1),(137,1),(164,1)}
       122:{1,4,6}:{(104,1),(105,1),(108,1),(137,1),(138,1)}
       123:{2,5}:{(105,1),(106,1),(138,1)}
       124:{4,5}:{(106,1),(109,1)}
       125:{2,6}:{(107,1),(108,1)}
       126:{2}:{(110,1)}
       127:{1,3,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(162,1)}
       128:{2,3,6}:{(111,1),(113,1),(140,1),(141,1),(145,1),(147,1),(161,1),(168,1)}
       129:{1,4,6}:{(112,1),(113,1),(115,1),(140,1),(142,1),(158,1)}
       130:{2,5}:{(113,1),(114,1),(142,1)}
       131:{1,4,5}:{(114,1),(117,1),(124,1),(143,1),(158,1),(163,1),(170,1)}
       132:{1,5,6}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{2,4,6}:{(116,1),(117,1),(119,1),(143,1),(144,1),(145,1),(161,1)}
       134:{1,4,7}:{(118,1),(119,1),(144,1),(146,1)}
       135:{3,7}:{(119,1),(145,1)}
       136:{3,7}:{(120,1),(121,1),(147,1),(168,1)}
       137:{2,4,6}:{(121,1),(122,1),(125,1),(147,1),(148,1),(163,1)}
       138:{1,5}:{(122,1),(123,1),(148,1)}
       139:{2,7}:{(126,1),(127,1),(149,1)}
       140:{1,3,6}:{(127,1),(128,1),(129,1),(149,1),(150,1),(167,1)}
       141:{2,3,5}:{(128,1),(130,1),(150,1),(151,1),(153,1),(156,1),(166,1),(171,1)}
       142:{1,5}:{(129,1),(130,1)}
       143:{2,4,5}:{(130,1),(131,1),(133,1),(151,1),(152,1),(153,1),(164,1),(166,1)}
       144:{1,4,6}:{(132,1),(133,1),(134,1),(152,1),(154,1)}
       145:{3,6}:{(133,1),(135,1),(153,1)}
       146:{1,3,7}:{(134,1),(135,1),(154,1),(155,1)}
       147:{3,6}:{(136,1),(137,1),(156,1)}
       148:{2,5}:{(137,1),(138,1),(156,1)}
       149:{2,6}:{(139,1),(140,1),(157,1)}
       150:{1,3,5}:{(140,1),(141,1),(142,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       151:{2,4}:{(141,1),(158,1),(159,1),(163,1)}
       152:{1,4,5}:{(142,1),(143,1),(144,1),(158,1),(160,1)}
       153:{3,5}:{(143,1),(145,1),(159,1),(168,1)}
       154:{1,3,6}:{(144,1),(145,1),(146,1),(160,1),(161,1)}
       155:{2,7}:{(146,1),(161,1),(162,1)}
       156:{3,5}:{(147,1),(148,1),(163,1)}
       157:{2,5}:{(149,1),(150,1),(164,1),(174,1)}
       158:{1,4}:{(150,1),(151,1),(164,1)}
       159:{3,4}:{(151,1),(153,1)}
       160:{1,3,5}:{(152,1),(153,1),(154,1),(165,1),(166,1)}
       161:{2,6}:{(154,1),(155,1),(166,1),(167,1)}
       162:{1,7}:{(155,1),(167,1)}
       163:{4}:{(156,1)}
       164:{2,4}:{(157,1),(158,1),(168,1)}
       165:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       167:{1,6}:{(161,1),(162,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 662 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 663 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 664 :   0:{1,2,4,5}:{(1,1),(2,1),(9,1),(33,1),(39,1),(41,1),(78,1),(79,1),(162,1),(175,1),(262,1)}
         1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(115,1),(227,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(27,1),(57,1),(118,1),(218,1)}
         3:{1,3,4}:{(1,1),(9,1),(262,1),(278,1)}
         4:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(39,1),(79,1),(83,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(14,1),(270,1)}
         6:{1,2,5,6}:{(2,1),(13,1),(15,1),(39,1),(91,1),(104,1),(162,1),(166,1),(265,1),(302,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(40,1),(48,1),(92,1),(167,1),(271,1)}
         8:{1,3,4,5}:{(3,1),(17,1),(18,1),(21,1),(50,1),(126,1),(128,1),(131,1),(227,1),(234,1)}
         9:{2,4}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(27,1),(69,1),(74,1)}
        11:{1,3,5}:{(4,1),(19,1),(23,1),(24,1),(62,1),(64,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(26,1),(118,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(21,1),(25,1),(27,1),(28,1),(69,1),(150,1),(211,1),(248,1),(253,1),(313,1),(343,1),(384,1)}
        14:{1,3,7}:{(5,1),(7,1),(26,1),(321,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(28,1),(29,1),(67,1),(136,1),(219,1),(344,1)}
        16:{2,3,4}:{(9,1),(30,1),(31,1),(83,1),(164,1),(278,1)}
        17:{2,4,5}:{(8,1),(9,1),(30,1),(33,1),(34,1),(39,1),(79,1),(164,1),(266,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(36,1),(80,1),(168,1),(170,1),(270,1)}
        19:{1,4}:{(9,1),(11,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(38,1),(39,1),(40,1),(104,1)}
        21:{1,3,5}:{(10,1),(39,1),(41,1),(102,1)}
        22:{1,3,4,7}:{(10,1),(14,1),(40,1),(42,1),(48,1),(111,1)}
        23:{1,2,5}:{(11,1),(37,1),(43,1),(79,1)}
        24:{1,3,6}:{(11,1),(12,1),(38,1),(43,1),(45,1)}
        25:{2,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(46,1),(47,1),(102,1),(104,1),(166,1),(173,1),(196,1),(199,1),(200,1),(201,1),(270,1),(280,1),(300,1),(368,1),(370,1)}
        26:{2,3,7}:{(12,1),(14,1),(40,1),(45,1),(167,1)}
        27:{1,4,6}:{(13,1),(41,1),(46,1),(48,1),(262,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1),(113,1),(299,1),(303,1)}
        29:{1,2,6,7}:{(15,1),(49,1),(104,1),(188,1),(265,1),(272,1)}
        30:{2,3,5}:{(16,1),(17,1),(50,1),(51,1),(227,1)}
        31:{1,3,4}:{(16,1),(19,1),(50,1),(52,1),(62,1),(115,1),(207,1)}
        32:{2,3,4,6}:{(16,1),(20,1),(51,1),(53,1),(54,1),(55,1),(74,1),(121,1),(123,1),(130,1),(154,1),(215,1),(225,1),(317,1),(320,1),(327,1),(329,1),(378,1)}
        33:{1,4,5}:{(17,1),(19,1),(50,1),(57,1),(64,1),(207,1),(304,1)}
        34:{2,4,6}:{(17,1),(18,1),(51,1),(57,1),(58,1),(59,1),(118,1)}
        35:{1,3,5,6}:{(18,1),(21,1),(58,1),(60,1),(61,1),(69,1),(137,1),(234,1),(335,1)}
        36:{1,3,4,7}:{(18,1),(59,1),(61,1),(120,1),(221,1),(223,1),(321,1)}
        37:{1,2,4}:{(19,1),(23,1),(52,1),(62,1)}
        38:{1,4,6}:{(19,1),(20,1),(24,1),(64,1),(65,1),(147,1)}
        39:{2,5}:{(20,1),(21,1),(64,1)}
        40:{2,4,7}:{(20,1),(22,1),(26,1),(65,1),(67,1)}
        41:{1,4,5}:{(21,1),(27,1),(66,1),(248,1),(384,1)}
        42:{1,3,5,7}:{(21,1),(22,1),(67,1),(68,1),(69,1),(148,1)}
        43:{1,2,6}:{(23,1),(24,1),(71,1),(118,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(64,1),(70,1),(72,1),(73,1),(141,1),(145,1),(147,1),(151,1),(246,1),(250,1),(251,1),(341,1)}
        45:{1,3,7}:{(24,1),(26,1),(65,1),(71,1)}
        46:{2,4,6}:{(25,1),(27,1),(66,1),(72,1),(74,1),(75,1),(225,1),(395,1)}
        47:{2,3,5,7}:{(25,1),(26,1),(28,1),(67,1),(73,1),(75,1),(76,1),(148,1),(158,1),(219,1),(249,1),(254,1),(321,1),(392,1)}
        48:{1,4,7}:{(27,1),(28,1),(75,1)}
        49:{1,3,6,7}:{(28,1),(29,1),(69,1),(76,1),(77,1),(313,1),(343,1)}
        50:{1,3,5}:{(30,1),(31,1),(33,1),(79,1),(80,1)}
        51:{2,3,6}:{(30,1),(34,1),(80,1),(82,1),(270,1)}
        52:{2,4}:{(31,1),(79,1),(83,1)}
        53:{1,3,4,6}:{(31,1),(32,1),(38,1),(80,1),(84,1),(85,1),(86,1),(97,1),(161,1),(168,1),(179,1),(192,1),(203,1),(257,1),(262,1),(270,1),(278,1),(297,1),(353,1),(360,1),(366,1),(367,1),(401,1)}
        54:{2,3,5}:{(32,1),(39,1),(85,1),(87,1),(102,1),(196,1),(266,1),(355,1),(368,1),(398,1)}
        55:{2,3,4,7}:{(32,1),(40,1),(82,1),(86,1),(88,1),(111,1),(171,1),(174,1),(204,1),(267,1),(279,1),(358,1),(361,1),(402,1)}
        56:{1,2,4,5}:{(33,1),(37,1),(79,1),(89,1),(90,1),(98,1),(164,1),(175,1),(192,1),(266,1),(287,1)}
        57:{1,4,6}:{(33,1),(34,1),(80,1),(91,1),(92,1)}
        58:{2,5,6}:{(34,1),(35,1),(39,1),(91,1),(94,1),(104,1),(266,1),(357,1)}
        59:{2,4,7}:{(34,1),(36,1),(82,1),(92,1),(94,1),(167,1)}
        60:{1,4,5,6}:{(35,1),(41,1),(93,1),(95,1),(105,1),(168,1),(285,1),(287,1),(291,1),(371,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(94,1),(95,1),(96,1),(189,1)}
        62:{1,3}:{(37,1),(83,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(43,1),(84,1),(97,1),(98,1),(99,1),(192,1),(195,1),(297,1),(401,1),(404,1),(406,1)}
        64:{1,5}:{(38,1),(39,1)}
        65:{1,4,7}:{(38,1),(40,1),(45,1),(101,1)}
        66:{2,4,5}:{(39,1),(41,1),(46,1),(100,1),(102,1),(196,1),(368,1),(413,1)}
        67:{2,5,7}:{(39,1),(40,1),(42,1),(101,1),(104,1)}
        68:{1,4,5,7}:{(41,1),(42,1),(48,1),(103,1),(105,1),(113,1),(299,1)}
        69:{1,3,6}:{(42,1),(104,1),(105,1),(199,1)}
        70:{1,2,5,6}:{(43,1),(44,1),(98,1),(106,1),(107,1),(166,1),(195,1),(196,1),(291,1),(300,1)}
        71:{1,2,7}:{(43,1),(45,1),(167,1)}
        72:{1,4,6}:{(44,1),(46,1),(100,1),(109,1),(192,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(47,1),(101,1),(107,1),(109,1),(110,1),(202,1),(205,1)}
        74:{3,4,6}:{(46,1),(102,1),(111,1),(199,1),(270,1),(278,1)}
        75:{2,4,7}:{(46,1),(47,1),(48,1),(109,1),(111,1),(411,1)}
        76:{2,3,6,7}:{(47,1),(49,1),(104,1),(110,1),(112,1),(199,1),(272,1),(280,1),(300,1),(362,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(105,1),(112,1),(113,1),(353,1)}
        78:{1,2,4}:{(52,1),(114,1),(115,1),(207,1)}
        79:{2,5}:{(50,1),(52,1),(118,1)}
        80:{1,3,6}:{(50,1),(51,1),(57,1),(118,1),(120,1)}
        81:{2,3,5,6}:{(51,1),(54,1),(58,1),(119,1),(121,1),(122,1),(130,1),(137,1),(233,1),(239,1),(320,1)}
        82:{2,3,7}:{(51,1),(59,1),(120,1),(321,1)}
        83:{2,3}:{(52,1),(62,1),(115,1)}
        84:{2,4,6}:{(52,1),(53,1),(118,1),(123,1),(124,1),(125,1),(225,1),(229,1),(390,1),(393,1)}
        85:{1,3,5}:{(53,1),(54,1),(64,1),(124,1),(126,1),(227,1),(248,1),(304,1),(341,1),(384,1),(394,1),(414,1)}
        86:{1,3,4,7}:{(53,1),(55,1),(65,1),(120,1),(125,1),(127,1),(142,1),(212,1),(221,1),(245,1),(255,1),(305,1),(312,1),(321,1),(328,1),(391,1),(418,1)}
        87:{2,4,5}:{(54,1),(121,1),(126,1),(128,1),(225,1)}
        88:{2,3,5,7}:{(54,1),(55,1),(67,1),(127,1),(129,1),(130,1),(148,1),(249,1),(316,1),(386,1),(415,1)}
        89:{1,3,5}:{(56,1),(62,1),(117,1),(131,1),(132,1),(227,1)}
        90:{1,2,4,6}:{(56,1),(57,1),(118,1),(132,1),(133,1),(134,1),(215,1),(218,1),(236,1)}
        91:{1,5,6}:{(57,1),(58,1),(64,1),(136,1),(147,1),(304,1),(377,1)}
        92:{1,4,7}:{(57,1),(59,1),(120,1),(136,1)}
        93:{2,4,5,6}:{(58,1),(60,1),(66,1),(121,1),(135,1),(137,1),(138,1),(149,1),(218,1),(233,1),(239,1),(315,1),(332,1),(333,1),(387,1),(395,1)}
        94:{2,5,7}:{(58,1),(59,1),(61,1),(136,1),(139,1)}
        95:{1,4,5,7}:{(60,1),(61,1),(138,1),(140,1),(221,1),(325,1),(337,1)}
        96:{1,3,6,7}:{(61,1),(69,1),(139,1),(140,1),(242,1),(335,1)}
        97:{1,3,6}:{(62,1),(63,1),(123,1),(141,1),(142,1),(420,1)}
        98:{1,2,5}:{(63,1),(64,1),(124,1),(141,1),(341,1),(414,1)}
        99:{1,2,4,7}:{(63,1),(65,1),(71,1),(125,1),(142,1),(144,1),(245,1),(418,1),(419,1)}
       100:{1,4,5}:{(64,1),(66,1),(72,1),(145,1),(341,1)}
       101:{1,5,7}:{(64,1),(65,1),(67,1),(147,1)}
       102:{3,5}:{(66,1),(74,1)}
       103:{2,4,5,7}:{(66,1),(67,1),(68,1),(75,1),(146,1),(148,1),(149,1),(158,1),(249,1),(256,1)}
       104:{2,6}:{(67,1),(69,1),(147,1)}
       105:{1,4,6}:{(68,1),(69,1),(149,1),(150,1),(343,1)}
       106:{1,2,4,6}:{(70,1),(72,1),(143,1),(151,1),(152,1),(154,1),(218,1),(323,1),(390,1)}
       107:{1,2,5,7}:{(70,1),(71,1),(73,1),(152,1),(153,1),(219,1),(249,1),(337,1)}
       108:{1,3,4,6}:{(72,1),(74,1),(145,1),(151,1),(154,1),(155,1),(244,1),(250,1)}
       109:{1,4,7}:{(72,1),(73,1),(75,1)}
       110:{1,3,6,7}:{(73,1),(76,1),(147,1),(153,1),(156,1),(246,1),(250,1)}
       111:{3,4,7}:{(74,1),(75,1),(148,1),(321,1)}
       112:{2,4,6,7}:{(75,1),(76,1),(77,1),(149,1),(156,1),(157,1),(158,1),(329,1)}
       113:{1,5,7}:{(77,1),(150,1),(158,1),(384,1)}
       114:{1,2,5}:{(78,1),(79,1),(159,1),(160,1)}
       115:{1,3}:{(78,1),(83,1)}
       116:{1,2,4,6}:{(78,1),(84,1),(160,1),(161,1),(162,1),(163,1),(203,1),(257,1),(262,1),(265,1),(302,1),(353,1),(374,1)}
       117:{2,3,5}:{(79,1),(83,1),(89,1),(159,1),(164,1),(165,1),(266,1)}
       118:{2,6}:{(79,1),(80,1),(167,1)}
       119:{1,3,5,6}:{(80,1),(81,1),(85,1),(91,1),(166,1),(168,1),(169,1),(179,1),(270,1),(285,1),(291,1),(360,1),(370,1)}
       120:{1,3,7}:{(80,1),(82,1),(92,1),(167,1)}
       121:{2,4,6}:{(81,1),(87,1),(168,1),(170,1),(171,1)}
       122:{2,3,5,7}:{(81,1),(82,1),(94,1),(169,1),(171,1),(172,1),(189,1),(277,1),(292,1),(361,1)}
       123:{2,3,6}:{(83,1),(84,1),(97,1),(161,1),(173,1),(174,1),(270,1),(412,1)}
       124:{2,5}:{(84,1),(85,1)}
       125:{2,4,7}:{(84,1),(86,1),(167,1),(174,1),(176,1),(410,1)}
       126:{1,4,5}:{(85,1),(87,1),(168,1),(175,1),(192,1),(262,1),(413,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(88,1),(101,1),(176,1),(178,1),(179,1),(282,1),(299,1),(346,1),(423,1)}
       128:{3,4,5}:{(87,1),(102,1),(170,1),(278,1),(355,1),(413,1)}
       129:{2,4,5,7}:{(87,1),(88,1),(171,1),(178,1),(180,1),(181,1),(277,1),(279,1),(368,1)}
       130:{2,3,6}:{(88,1),(104,1),(179,1),(181,1),(199,1),(300,1),(357,1),(407,1),(424,1)}
       131:{1,3,4}:{(89,1),(164,1),(192,1),(278,1)}
       132:{1,3,6}:{(89,1),(90,1),(165,1),(184,1),(270,1)}
       133:{1,2,5,6}:{(90,1),(91,1),(98,1),(166,1),(183,1),(185,1),(195,1),(266,1),(357,1),(404,1)}
       134:{1,2,4,7}:{(90,1),(92,1),(167,1),(184,1),(185,1),(267,1),(271,1),(289,1)}
       135:{1,4,5,6}:{(91,1),(93,1),(100,1),(168,1),(186,1),(187,1),(198,1),(285,1),(345,1),(400,1)}
       136:{1,5,7}:{(91,1),(92,1),(94,1),(188,1)}
       137:{3,5,6}:{(93,1),(102,1),(170,1),(189,1),(199,1),(270,1),(355,1),(407,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(95,1),(171,1),(187,1),(189,1),(190,1),(271,1),(277,1),(292,1),(363,1),(365,1),(411,1)}
       139:{2,6,7}:{(94,1),(96,1),(104,1),(188,1),(357,1)}
       140:{1,4,6,7}:{(95,1),(96,1),(105,1),(190,1),(191,1),(371,1),(373,1)}
       141:{1,3,5}:{(97,1),(98,1),(173,1),(192,1)}
       142:{1,3,7}:{(97,1),(99,1),(174,1)}
       143:{1,2,4,5}:{(98,1),(100,1),(106,1),(175,1),(192,1),(194,1),(196,1),(284,1),(296,1),(369,1),(406,1)}
       144:{1,2,5,7}:{(98,1),(99,1),(101,1),(176,1),(193,1),(195,1),(423,1)}
       145:{1,3,5}:{(100,1),(102,1),(108,1),(196,1)}
       146:{1,4,5,7}:{(100,1),(101,1),(103,1),(109,1),(197,1),(198,1),(205,1)}
       147:{1,6}:{(101,1),(104,1)}
       148:{3,5,7}:{(102,1),(103,1),(111,1),(199,1)}
       149:{2,4,6}:{(103,1),(104,1),(105,1),(198,1),(199,1),(200,1),(300,1),(301,1)}
       150:{1,5,6}:{(105,1),(113,1),(200,1)}
       151:{1,3,6}:{(106,1),(194,1),(201,1),(202,1),(270,1)}
       152:{1,2,4,7}:{(106,1),(107,1),(109,1),(202,1),(204,1),(271,1),(364,1),(410,1)}
       153:{1,2,6,7}:{(107,1),(110,1),(195,1),(272,1),(300,1),(373,1)}
       154:{2,4,6}:{(108,1),(196,1),(201,1),(203,1),(204,1),(296,1),(300,1)}
       155:{1,3,4,7}:{(108,1),(109,1),(111,1),(197,1),(202,1),(204,1)}
       156:{1,4,6,7}:{(109,1),(110,1),(112,1),(198,1),(205,1),(297,1)}
       157:{3,4,6,7}:{(111,1),(112,1),(199,1),(206,1),(301,1),(362,1),(367,1),(411,1)}
       158:{2,5,7}:{(112,1),(113,1),(200,1),(205,1),(206,1),(368,1)}
       159:{1,3,5}:{(114,1),(115,1),(117,1),(207,1),(208,1),(304,1)}
       160:{1,2,6}:{(114,1),(118,1),(208,1),(210,1)}
       161:{1,3,6}:{(115,1),(116,1),(123,1),(211,1),(212,1),(397,1)}
       162:{1,2,5}:{(116,1),(124,1),(211,1),(248,1),(304,1),(384,1)}
       163:{1,2,4,7}:{(116,1),(125,1),(210,1),(212,1),(214,1),(255,1),(305,1),(312,1),(344,1)}
       164:{2,4}:{(117,1),(131,1),(207,1)}
       165:{2,3,6}:{(117,1),(118,1),(132,1),(208,1),(215,1),(217,1)}
       166:{2,5,6}:{(118,1),(119,1),(124,1),(218,1),(219,1),(229,1),(390,1)}
       167:{2,7}:{(118,1),(120,1)}
       168:{1,4,6}:{(119,1),(121,1),(126,1),(218,1),(221,1),(395,1)}
       169:{1,3,5,7}:{(119,1),(120,1),(122,1),(136,1),(219,1),(221,1),(222,1),(321,1),(325,1),(337,1),(391,1),(392,1)}
       170:{3,4,6}:{(121,1),(128,1),(137,1),(223,1),(395,1)}
       171:{2,4,7}:{(121,1),(122,1),(221,1),(223,1)}
       172:{2,3,6,7}:{(122,1),(130,1),(139,1),(222,1),(224,1),(242,1),(338,1)}
       173:{2,3,5}:{(123,1),(124,1),(141,1),(211,1),(225,1),(227,1)}
       174:{2,3,7}:{(123,1),(125,1),(142,1),(212,1),(321,1)}
       175:{2,4,5}:{(124,1),(126,1),(218,1),(225,1),(227,1)}
       176:{2,5,7}:{(124,1),(125,1),(127,1),(229,1)}
       177:{1,3,4,5}:{(126,1),(128,1),(145,1),(220,1),(227,1),(230,1),(244,1),(311,1),(330,1),(375,1)}
       178:{1,4,5,7}:{(126,1),(127,1),(129,1),(221,1),(228,1),(231,1),(245,1),(312,1),(325,1),(341,1),(384,1)}
       179:{1,3,6}:{(127,1),(130,1),(147,1),(229,1),(231,1),(331,1),(343,1),(377,1),(426,1)}
       180:{3,4,5,7}:{(128,1),(129,1),(148,1),(223,1),(232,1),(256,1),(326,1),(328,1),(386,1),(394,1),(422,1)}
       181:{2,4,6}:{(129,1),(130,1),(231,1),(232,1),(233,1)}
       182:{1,3,4,6}:{(131,1),(132,1),(215,1),(234,1),(235,1),(236,1),(317,1),(335,1)}
       183:{1,3,5,6}:{(132,1),(133,1),(141,1),(216,1),(234,1),(236,1),(237,1),(246,1),(335,1),(341,1),(381,1),(396,1),(414,1),(426,1)}
       184:{1,3,7}:{(132,1),(134,1),(217,1),(321,1)}
       185:{1,2,5,7}:{(133,1),(134,1),(136,1),(219,1),(237,1),(238,1),(316,1),(419,1)}
       186:{1,3,5,6}:{(135,1),(137,1),(145,1),(220,1),(239,1),(240,1),(250,1),(375,1),(416,1)}
       187:{1,4,5,7}:{(135,1),(136,1),(138,1),(221,1),(240,1),(241,1),(325,1)}
       188:{1,6,7}:{(136,1),(139,1),(147,1),(377,1)}
       189:{3,5,7}:{(137,1),(138,1),(223,1),(242,1),(321,1)}
       190:{2,4,6,7}:{(138,1),(139,1),(140,1),(149,1),(241,1),(242,1),(243,1),(338,1),(339,1),(387,1)}
       191:{1,5,6,7}:{(140,1),(150,1),(243,1),(325,1),(396,1)}
       192:{1,4}:{(141,1),(225,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(144,1),(226,1),(245,1),(246,1),(341,1)}
       194:{1,3,5}:{(143,1),(151,1),(227,1),(244,1),(247,1),(420,1)}
       195:{1,2,6}:{(144,1),(147,1),(229,1),(246,1),(426,1)}
       196:{2,5}:{(145,1),(154,1),(248,1)}
       197:{1,3,5,7}:{(145,1),(146,1),(148,1),(155,1),(249,1),(250,1)}
       198:{1,4,6}:{(146,1),(147,1),(149,1),(250,1),(251,1)}
       199:{3,6}:{(148,1),(149,1)}
       200:{2,5,6}:{(149,1),(150,1),(158,1),(251,1),(252,1)}
       201:{2,3,6}:{(151,1),(154,1),(247,1),(253,1),(254,1),(390,1)}
       202:{1,3,7}:{(151,1),(152,1),(254,1),(321,1)}
       203:{1,4,6}:{(154,1),(248,1),(253,1),(255,1),(340,1),(343,1)}
       204:{2,4,7}:{(154,1),(155,1),(249,1),(254,1),(255,1)}
       205:{1,5,7}:{(156,1),(158,1),(251,1),(341,1)}
       206:{3,5,7}:{(157,1),(158,1),(252,1),(256,1),(394,1)}
       207:{1,4}:{(159,1),(164,1)}
       208:{1,3,6}:{(159,1),(160,1),(165,1),(257,1),(259,1)}
       209:{1,2,5,6}:{(160,1),(162,1),(166,1),(258,1),(260,1),(261,1),(265,1),(291,1),(398,1),(424,1)}
       210:{1,2,7}:{(160,1),(167,1),(259,1)}
       211:{1,3,5}:{(161,1),(162,1),(173,1),(262,1)}
       212:{1,3,7}:{(161,1),(163,1),(174,1)}
       213:{1,2,4,5}:{(162,1),(175,1),(260,1),(262,1),(264,1),(284,1),(345,1),(352,1),(369,1),(374,1),(398,1)}
       214:{1,2,5,7}:{(162,1),(163,1),(176,1),(263,1),(265,1),(299,1),(346,1)}
       215:{2,4,6}:{(164,1),(165,1),(182,1),(257,1),(266,1),(267,1),(357,1)}
       216:{2,3,5,6}:{(165,1),(166,1),(173,1),(183,1),(258,1),(266,1),(268,1),(269,1),(270,1),(280,1),(350,1),(355,1),(357,1),(368,1),(370,1),(398,1),(407,1),(408,1),(424,1)}
       217:{2,3,7}:{(165,1),(167,1),(184,1),(259,1),(267,1)}
       218:{2,4,6}:{(166,1),(168,1),(175,1),(270,1),(271,1)}
       219:{2,5,7}:{(166,1),(167,1),(169,1),(271,1),(272,1),(410,1)}
       220:{1,3,4,6}:{(168,1),(170,1),(177,1),(186,1),(270,1),(273,1),(274,1),(360,1)}
       221:{1,4,7}:{(168,1),(169,1),(171,1),(271,1),(411,1)}
       222:{1,3,6,7}:{(169,1),(172,1),(179,1),(188,1),(272,1),(275,1),(362,1),(373,1)}
       223:{3,4,7}:{(170,1),(171,1),(189,1),(411,1)}
       224:{2,4,6,7}:{(171,1),(172,1),(181,1),(275,1),(276,1),(277,1)}
       225:{2,4}:{(173,1),(192,1),(262,1),(278,1)}
       226:{2,3,5,7}:{(173,1),(174,1),(176,1),(193,1),(263,1),(279,1),(280,1),(282,1),(368,1)}
       227:{3,5}:{(175,1),(270,1),(278,1)}
       228:{2,4,5,7}:{(175,1),(176,1),(178,1),(271,1),(279,1),(282,1),(283,1),(363,1),(368,1),(411,1),(413,1)}
       229:{2,6}:{(176,1),(179,1)}
       230:{2,4,5}:{(177,1),(196,1),(273,1),(281,1),(284,1),(296,1),(352,1),(369,1),(398,1)}
       231:{1,4,6}:{(178,1),(179,1),(181,1),(283,1),(285,1)}
       232:{3,4,6}:{(180,1),(181,1),(199,1),(286,1),(301,1),(407,1),(425,1)}
       233:{2,5,6}:{(181,1),(277,1),(285,1),(286,1),(368,1)}
       234:{1,3,5}:{(182,1),(266,1),(287,1),(355,1)}
       235:{1,3,4,7}:{(182,1),(184,1),(267,1),(288,1),(289,1),(358,1)}
       236:{1,4,6}:{(183,1),(192,1),(268,1),(287,1),(289,1)}
       237:{1,3,5,7}:{(183,1),(184,1),(185,1),(269,1),(289,1),(290,1),(372,1),(405,1),(423,1)}
       238:{1,2,6,7}:{(185,1),(188,1),(195,1),(272,1),(290,1),(357,1)}
       239:{2,5,6}:{(186,1),(196,1),(273,1),(291,1),(292,1),(300,1),(398,1),(424,1)}
       240:{1,3,5,7}:{(186,1),(187,1),(189,1),(274,1),(292,1),(293,1)}
       241:{1,4,6,7}:{(187,1),(188,1),(190,1),(198,1),(293,1),(294,1),(400,1)}
       242:{3,6,7}:{(189,1),(190,1),(199,1),(407,1)}
       243:{2,5,6,7}:{(190,1),(191,1),(200,1),(277,1),(294,1),(295,1),(363,1),(408,1)}
       244:{1,3,4}:{(192,1),(194,1),(278,1),(296,1)}
       245:{1,4,7}:{(192,1),(193,1),(279,1),(297,1)}
       246:{1,3,6}:{(193,1),(195,1),(280,1),(297,1)}
       247:{2,3,5}:{(194,1),(196,1),(201,1),(296,1),(298,1),(369,1),(412,1)}
       248:{1,5}:{(196,1),(203,1)}
       249:{2,5,7}:{(196,1),(197,1),(204,1),(299,1),(300,1)}
       250:{1,3,6}:{(197,1),(198,1),(199,1),(300,1)}
       251:{1,5,6}:{(198,1),(200,1),(205,1)}
       252:{3,5,6}:{(199,1),(200,1),(206,1),(301,1)}
       253:{1,3,6}:{(201,1),(203,1),(298,1),(302,1),(303,1)}
       254:{2,3,7}:{(201,1),(202,1),(204,1),(303,1),(410,1)}
       255:{1,4,7}:{(203,1),(204,1),(299,1),(303,1)}
       256:{4,5,7}:{(206,1),(301,1),(411,1),(413,1)}
       257:{1,4,6}:{(207,1),(208,1),(215,1),(304,1),(305,1),(377,1)}
       258:{1,3,5,6}:{(208,1),(209,1),(211,1),(216,1),(304,1),(306,1),(307,1),(308,1),(313,1),(375,1),(377,1),(384,1),(416,1),(417,1)}
       259:{1,3,7}:{(208,1),(210,1),(217,1),(305,1)}
       260:{1,2,4,6}:{(209,1),(213,1),(218,1),(306,1),(308,1),(309,1),(323,1),(378,1),(390,1)}
       261:{1,2,5,7}:{(209,1),(210,1),(219,1),(307,1),(309,1),(310,1),(337,1),(415,1)}
       262:{1,4}:{(211,1),(225,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(214,1),(226,1),(312,1),(313,1),(384,1)}
       264:{1,3,5}:{(213,1),(227,1),(308,1),(311,1),(314,1),(397,1)}
       265:{1,2,6}:{(214,1),(229,1),(313,1),(343,1),(377,1)}
       266:{2,5}:{(215,1),(234,1),(304,1)}
       267:{2,4,7}:{(215,1),(217,1),(235,1),(305,1),(316,1)}
       268:{2,4,6}:{(216,1),(225,1),(236,1),(306,1),(315,1),(317,1),(318,1),(395,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(219,1),(237,1),(307,1),(316,1),(318,1),(319,1),(321,1),(382,1),(386,1),(389,1),(392,1),(415,1)}
       270:{3,6}:{(218,1),(227,1),(321,1)}
       271:{2,4,7}:{(218,1),(219,1),(221,1),(321,1)}
       272:{2,6,7}:{(219,1),(222,1),(229,1)}
       273:{2,4,6}:{(220,1),(230,1),(239,1),(320,1),(323,1),(324,1),(390,1)}
       274:{1,3,4,7}:{(220,1),(221,1),(223,1),(240,1),(321,1),(324,1),(391,1)}
       275:{1,4,6,7}:{(221,1),(222,1),(224,1),(231,1),(322,1),(325,1)}
       276:{3,4,6,7}:{(223,1),(224,1),(232,1),(242,1),(326,1),(339,1)}
       277:{2,5,7}:{(224,1),(233,1),(325,1),(326,1)}
       278:{3,4}:{(225,1),(227,1)}
       279:{2,4,7}:{(225,1),(226,1),(245,1),(312,1),(328,1),(329,1)}
       280:{2,3,6}:{(226,1),(229,1),(246,1),(313,1),(329,1),(331,1)}
       281:{2,3,5}:{(227,1),(230,1),(320,1),(327,1),(330,1)}
       282:{3,5,7}:{(227,1),(228,1),(321,1),(328,1),(331,1),(394,1)}
       283:{2,4,6}:{(228,1),(229,1),(231,1),(331,1),(332,1),(395,1)}
       284:{1,4,5}:{(230,1),(248,1),(323,1),(330,1),(340,1),(383,1),(414,1)}
       285:{1,5,6}:{(231,1),(233,1),(325,1),(332,1),(341,1),(384,1)}
       286:{3,5,6}:{(232,1),(233,1),(326,1),(333,1),(394,1)}
       287:{1,4,5}:{(234,1),(236,1),(315,1),(341,1),(414,1)}
       288:{1,3,5,7}:{(234,1),(235,1),(316,1),(334,1),(335,1),(386,1)}
       289:{1,4,7}:{(236,1),(237,1),(318,1)}
       290:{1,3,6,7}:{(237,1),(238,1),(246,1),(319,1),(335,1),(336,1),(426,1)}
       291:{1,5,6}:{(239,1),(248,1),(323,1),(337,1),(343,1),(414,1),(426,1)}
       292:{2,5,7}:{(239,1),(240,1),(324,1),(337,1),(338,1)}
       293:{1,3,6,7}:{(240,1),(241,1),(242,1),(250,1),(338,1),(416,1)}
       294:{1,5,6,7}:{(241,1),(243,1),(251,1),(325,1),(417,1)}
       295:{3,5,6,7}:{(242,1),(243,1),(252,1),(326,1),(339,1),(392,1),(421,1)}
       296:{2,4}:{(244,1),(247,1),(340,1)}
       297:{1,4,6}:{(245,1),(246,1),(329,1),(341,1)}
       298:{1,3,5}:{(247,1),(248,1),(253,1),(340,1),(342,1),(397,1)}
       299:{1,5,7}:{(248,1),(249,1),(255,1),(343,1)}
       300:{2,6}:{(249,1),(250,1),(343,1)}
       301:{4,6}:{(252,1),(256,1)}
       302:{1,2,6}:{(253,1),(342,1),(344,1),(390,1)}
       303:{1,3,7}:{(253,1),(254,1),(255,1),(344,1)}
       304:{1,5}:{(257,1),(266,1)}
       305:{1,4,7}:{(257,1),(259,1),(267,1),(346,1)}
       306:{1,4,6}:{(258,1),(262,1),(268,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(269,1),(346,1),(348,1),(349,1),(351,1),(403,1)}
       308:{1,3,6}:{(260,1),(264,1),(270,1),(350,1),(351,1)}
       309:{1,2,4,7}:{(260,1),(261,1),(271,1),(348,1),(351,1),(364,1),(402,1),(410,1)}
       310:{1,2,6,7}:{(261,1),(265,1),(272,1),(349,1),(373,1),(424,1)}
       311:{1,3,4}:{(262,1),(264,1),(278,1),(352,1)}
       312:{1,4,7}:{(262,1),(263,1),(279,1),(353,1)}
       313:{1,3,6}:{(263,1),(265,1),(280,1),(353,1)}
       314:{2,3,5}:{(264,1),(350,1),(352,1),(354,1),(369,1),(398,1),(412,1)}
       315:{2,4,5}:{(266,1),(268,1),(287,1),(345,1),(355,1),(368,1),(398,1),(413,1)}
       316:{2,5,7}:{(266,1),(267,1),(288,1),(346,1),(357,1)}
       317:{3,4,6}:{(268,1),(270,1),(278,1),(355,1),(358,1),(407,1)}
       318:{2,4,7}:{(268,1),(269,1),(289,1),(348,1),(358,1),(411,1)}
       319:{2,3,6,7}:{(269,1),(272,1),(280,1),(290,1),(349,1),(357,1),(359,1),(362,1),(407,1),(424,1)}
       320:{2,3,6}:{(270,1),(273,1),(281,1),(360,1),(361,1)}
       321:{3,7}:{(270,1),(271,1)}
       322:{2,4,6,7}:{(271,1),(272,1),(275,1),(283,1),(362,1),(363,1),(411,1)}
       323:{1,4,6}:{(273,1),(284,1),(291,1),(360,1),(364,1)}
       324:{2,4,7}:{(273,1),(274,1),(292,1),(361,1),(364,1),(410,1)}
       325:{1,5,7}:{(275,1),(277,1),(285,1),(363,1)}
       326:{3,5,7}:{(276,1),(277,1),(286,1),(365,1)}
       327:{2,3,4}:{(278,1),(281,1),(296,1),(352,1),(366,1),(412,1)}
       328:{3,4,7}:{(278,1),(279,1),(282,1),(367,1),(411,1)}
       329:{2,4,6}:{(279,1),(280,1),(297,1),(353,1),(367,1),(368,1)}
       330:{1,3,5}:{(281,1),(284,1),(360,1),(366,1),(369,1)}
       331:{3,6}:{(282,1),(283,1)}
       332:{2,5,6}:{(283,1),(285,1),(363,1),(368,1),(370,1)}
       333:{4,5,6}:{(286,1),(301,1),(365,1),(413,1),(425,1)}
       334:{1,4,5,7}:{(287,1),(288,1),(289,1),(356,1),(371,1),(372,1),(423,1)}
       335:{1,3,6}:{(288,1),(357,1),(371,1),(407,1)}
       336:{1,4,6,7}:{(289,1),(290,1),(297,1),(359,1),(371,1),(372,1)}
       337:{1,5,7}:{(291,1),(292,1),(364,1),(373,1)}
       338:{2,6,7}:{(292,1),(293,1),(300,1),(373,1),(424,1)}
       339:{4,6,7}:{(295,1),(301,1),(365,1),(411,1),(425,1)}
       340:{1,4}:{(296,1),(298,1)}
       341:{1,5}:{(297,1),(368,1)}
       342:{1,2,5}:{(298,1),(302,1),(369,1),(374,1)}
       343:{1,6}:{(299,1),(300,1)}
       344:{1,2,7}:{(302,1),(303,1),(410,1)}
       345:{1,4,5}:{(304,1),(306,1),(315,1),(375,1),(384,1)}
       346:{1,5,7}:{(304,1),(305,1),(316,1),(377,1)}
       347:{1,3,4,6}:{(306,1),(308,1),(311,1),(317,1),(375,1),(378,1),(379,1),(416,1)}
       348:{1,4,7}:{(306,1),(307,1),(318,1)}
       349:{1,3,6,7}:{(307,1),(310,1),(313,1),(319,1),(377,1),(380,1),(416,1)}
       350:{2,3,6}:{(308,1),(314,1),(378,1),(381,1),(382,1),(390,1)}
       351:{1,3,7}:{(308,1),(309,1),(321,1),(382,1)}
       352:{2,4}:{(311,1),(314,1),(383,1)}
       353:{1,4,6}:{(312,1),(313,1),(329,1),(384,1)}
       354:{1,3,5}:{(314,1),(381,1),(383,1),(385,1),(414,1),(420,1)}
       355:{3,5}:{(315,1),(317,1)}
       356:{2,4,5,7}:{(315,1),(316,1),(318,1),(334,1),(376,1),(386,1),(387,1),(389,1),(415,1),(422,1)}
       357:{2,6}:{(316,1),(335,1),(377,1)}
       358:{3,4,7}:{(317,1),(318,1),(321,1),(386,1)}
       359:{2,4,6,7}:{(318,1),(319,1),(329,1),(336,1),(380,1),(387,1),(388,1),(389,1)}
       360:{1,3,6}:{(320,1),(323,1),(330,1),(390,1),(391,1)}
       361:{2,3,7}:{(320,1),(321,1),(324,1),(391,1)}
       362:{3,6,7}:{(321,1),(322,1),(331,1),(392,1)}
       363:{2,5,7}:{(322,1),(325,1),(332,1),(392,1)}
       364:{1,4,7}:{(323,1),(324,1),(337,1),(391,1)}
       365:{4,5,7}:{(326,1),(333,1),(339,1)}
       366:{1,3,4}:{(327,1),(330,1),(340,1),(383,1),(393,1),(397,1),(420,1)}
       367:{3,4,6}:{(328,1),(329,1),(331,1),(394,1),(395,1)}
       368:{2,5}:{(329,1),(341,1),(384,1),(394,1)}
       369:{2,5}:{(330,1),(390,1),(393,1)}
       370:{3,5,6}:{(331,1),(332,1),(392,1),(394,1),(395,1)}
       371:{1,4,6}:{(334,1),(335,1),(387,1),(396,1),(426,1)}
       372:{1,5,7}:{(336,1),(341,1),(389,1),(396,1)}
       373:{1,6,7}:{(337,1),(338,1),(343,1),(426,1)}
       374:{1,2,4}:{(340,1),(342,1),(393,1),(397,1)}
       375:{1,3,5}:{(345,1),(347,1),(355,1),(398,1)}
       376:{1,4,5,7}:{(345,1),(346,1),(348,1),(356,1),(399,1),(400,1),(403,1)}
       377:{1,6}:{(346,1),(357,1)}
       378:{2,4,6}:{(347,1),(350,1),(352,1),(398,1),(401,1),(402,1),(424,1)}
       379:{1,3,4,7}:{(347,1),(348,1),(351,1),(358,1),(399,1),(402,1)}
       380:{1,4,6,7}:{(348,1),(349,1),(353,1),(359,1),(400,1),(403,1)}
       381:{1,3,6}:{(350,1),(354,1),(401,1),(404,1),(405,1)}
       382:{2,3,7}:{(350,1),(351,1),(402,1),(405,1),(410,1)}
       383:{1,4}:{(352,1),(354,1)}
       384:{1,5}:{(353,1),(368,1)}
       385:{1,2,5}:{(354,1),(369,1),(404,1),(406,1)}
       386:{3,5,7}:{(355,1),(356,1),(358,1),(407,1)}
       387:{2,4,6}:{(356,1),(357,1),(371,1),(400,1),(407,1),(408,1),(424,1),(425,1)}
       388:{3,4,6,7}:{(358,1),(359,1),(362,1),(367,1),(407,1),(409,1),(411,1),(425,1)}
       389:{2,5,7}:{(359,1),(368,1),(372,1),(403,1),(408,1),(409,1)}
       390:{2,6}:{(360,1),(369,1),(410,1)}
       391:{1,3,7}:{(360,1),(361,1),(364,1),(410,1)}
       392:{3,5,7}:{(362,1),(363,1),(370,1),(411,1)}
       393:{2,4}:{(366,1),(369,1),(412,1)}
       394:{3,5}:{(367,1),(368,1),(413,1)}
       395:{4,6}:{(370,1),(411,1),(413,1)}
       396:{1,5,6}:{(371,1),(372,1),(408,1)}
       397:{1,3}:{(374,1),(412,1)}
       398:{2,5}:{(375,1),(378,1),(414,1)}
       399:{1,3,5,7}:{(375,1),(376,1),(379,1),(386,1),(415,1),(416,1)}
       400:{1,4,6}:{(376,1),(377,1),(387,1),(416,1),(417,1)}
       401:{1,4,6}:{(378,1),(381,1),(383,1),(414,1),(418,1),(426,1)}
       402:{2,4,7}:{(378,1),(379,1),(382,1),(415,1),(418,1)}
       403:{1,5,7}:{(380,1),(384,1),(389,1),(417,1)}
       404:{1,2,6}:{(381,1),(385,1),(390,1),(419,1)}
       405:{1,3,7}:{(381,1),(382,1),(418,1),(419,1)}
       406:{1,2,4}:{(383,1),(385,1),(393,1),(420,1)}
       407:{3,6}:{(386,1),(387,1)}
       408:{2,5,6}:{(387,1),(389,1),(396,1),(417,1),(421,1)}
       409:{3,5,7}:{(388,1),(389,1),(394,1),(421,1),(422,1)}
       410:{2,7}:{(390,1),(391,1)}
       411:{4,7}:{(392,1),(395,1)}
       412:{2,3}:{(393,1),(397,1),(420,1)}
       413:{4,5}:{(394,1),(395,1)}
       414:{1,5}:{(398,1),(401,1)}
       415:{2,5,7}:{(398,1),(399,1),(402,1),(423,1),(424,1)}
       416:{1,3,6}:{(399,1),(400,1),(407,1),(424,1)}
       417:{1,5,6}:{(400,1),(403,1),(408,1)}
       418:{1,4,7}:{(401,1),(402,1),(405,1),(423,1)}
       419:{1,2,7}:{(404,1),(405,1),(410,1)}
       420:{1,3}:{(406,1),(412,1)}
       421:{3,5,6}:{(407,1),(408,1),(409,1),(425,1)}
       422:{4,5,7}:{(409,1),(411,1),(413,1),(425,1)}
       423:{1,5,7}:{(414,1),(415,1),(418,1),(426,1)}
       424:{2,6}:{(415,1),(416,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 665 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 666 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 667 :   0:{1,4,5,6}:{(1,1),(3,1),(4,1),(55,1),(62,1),(141,1),(201,1),(226,1)}
         1:{2,4,5,6}:{(0,1),(6,1),(8,1),(9,1),(13,1),(33,1),(37,1),(84,1),(93,1),(158,1),(171,1),(249,1),(263,1),(346,1)}
         2:{1,5,6,7}:{(7,1),(11,1),(165,1),(274,1)}
         3:{1,4,5,7}:{(0,1),(8,1),(11,1),(12,1),(81,1),(92,1),(165,1)}
         4:{1,3,5,6}:{(0,1),(9,1),(10,1),(12,1),(13,1),(179,1),(272,1)}
         5:{1,3,4,5}:{(10,1),(14,1),(34,1),(48,1),(87,1),(107,1),(161,1),(179,1)}
         6:{1,4,5,6}:{(1,1),(16,1),(17,1),(27,1),(62,1),(196,1),(201,1),(290,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(18,1),(20,1),(125,1),(209,1),(313,1)}
         8:{2,4,5,7}:{(1,1),(3,1),(16,1),(20,1),(21,1),(26,1),(54,1),(59,1),(61,1),(125,1),(127,1),(209,1),(309,1)}
         9:{3,5,6}:{(1,1),(19,1),(21,1),(128,1),(212,1),(311,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(19,1),(23,1),(24,1),(62,1),(68,1),(128,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(20,1),(25,1),(114,1),(226,1)}
        12:{1,3,5,7}:{(3,1),(4,1),(21,1),(23,1),(25,1),(26,1)}
        13:{2,5,6}:{(4,1),(24,1),(26,1),(27,1),(222,1),(320,1)}
        14:{2,4,5}:{(5,1),(24,1),(28,1),(29,1),(74,1),(143,1),(222,1)}
        15:{1,5,6,7}:{(7,1),(31,1),(165,1),(336,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(46,1),(92,1),(165,1)}
        17:{1,3,5,6}:{(6,1),(9,1),(30,1),(32,1),(33,1),(240,1),(334,1)}
        18:{3,5,6,7}:{(7,1),(35,1),(38,1),(90,1),(258,1),(357,1)}
        19:{3,4,6}:{(9,1),(34,1),(36,1),(37,1),(346,1)}
        20:{2,4,6,7}:{(7,1),(8,1),(11,1),(31,1),(35,1),(38,1),(45,1),(80,1),(263,1)}
        21:{3,5,7}:{(8,1),(9,1),(36,1),(38,1),(167,1)}
        22:{2,3,5,6}:{(9,1),(13,1),(33,1),(37,1),(39,1),(40,1),(42,1),(77,1),(83,1),(155,1),(158,1)}
        23:{1,3,4,7}:{(10,1),(12,1),(36,1),(43,1),(92,1),(98,1),(167,1)}
        24:{2,4,6}:{(10,1),(13,1),(14,1),(42,1),(43,1),(44,1),(99,1)}
        25:{1,3,6,7}:{(11,1),(12,1),(38,1),(45,1),(272,1)}
        26:{2,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1)}
        27:{1,5,6}:{(13,1),(44,1),(46,1),(269,1),(362,1)}
        28:{2,3,5}:{(14,1),(41,1),(42,1),(48,1),(161,1)}
        29:{1,4,5}:{(14,1),(44,1),(48,1),(183,1),(269,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(50,1),(51,1),(52,1),(62,1),(111,1),(128,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(20,1),(53,1),(71,1),(290,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(21,1),(51,1),(53,1),(54,1)}
        33:{2,5,6}:{(17,1),(52,1),(54,1),(55,1),(286,1),(373,1)}
        34:{3,4,5}:{(19,1),(57,1),(212,1),(377,1),(387,1)}
        35:{4,6,7}:{(18,1),(59,1),(309,1),(395,1)}
        36:{3,4,7}:{(19,1),(21,1),(61,1),(309,1)}
        37:{2,4,6}:{(19,1),(22,1),(57,1),(61,1),(62,1)}
        38:{3,6,7}:{(20,1),(21,1),(311,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(26,1),(54,1),(61,1),(63,1),(64,1),(67,1),(110,1),(125,1)}
        40:{1,3,5,6}:{(22,1),(27,1),(55,1),(62,1),(64,1),(65,1),(68,1),(111,1),(118,1),(128,1),(198,1),(201,1),(299,1)}
        41:{2,3,4}:{(28,1),(66,1),(143,1),(204,1),(216,1)}
        42:{2,3,6}:{(24,1),(28,1),(67,1),(68,1),(128,1)}
        43:{2,4,7}:{(23,1),(24,1),(26,1),(67,1),(69,1),(135,1)}
        44:{1,4,6}:{(24,1),(27,1),(29,1),(68,1),(69,1)}
        45:{2,6,7}:{(25,1),(26,1),(71,1),(320,1)}
        46:{1,5,7}:{(26,1),(27,1),(69,1),(71,1)}
        47:{1,2,5,6}:{(27,1),(65,1),(70,1),(72,1),(73,1),(189,1),(197,1),(222,1),(293,1),(319,1),(320,1),(391,1)}
        48:{1,3,5}:{(28,1),(29,1),(66,1),(68,1),(74,1)}
        49:{1,2,4,5}:{(29,1),(70,1),(74,1),(75,1),(122,1),(132,1),(141,1),(143,1),(197,1),(222,1),(228,1),(295,1),(315,1),(380,1)}
        50:{1,3,4,5}:{(30,1),(34,1),(76,1),(87,1),(146,1),(161,1),(234,1),(240,1)}
        51:{1,3,4,7}:{(30,1),(32,1),(36,1),(78,1),(92,1),(148,1),(167,1)}
        52:{2,4,6}:{(30,1),(33,1),(76,1),(77,1),(78,1),(79,1),(149,1)}
        53:{1,3,6,7}:{(31,1),(32,1),(38,1),(80,1),(334,1)}
        54:{2,5,7}:{(32,1),(33,1),(78,1),(80,1),(81,1)}
        55:{1,5,6}:{(33,1),(79,1),(81,1),(331,1),(404,1)}
        56:{3,4,5,7}:{(34,1),(36,1),(85,1),(86,1),(90,1),(260,1),(356,1),(407,1),(441,1)}
        57:{2,4,5}:{(34,1),(37,1),(83,1),(87,1),(339,1)}
        58:{2,3,4,6}:{(37,1),(41,1),(42,1),(77,1),(83,1),(88,1),(89,1),(145,1),(155,1),(168,1),(177,1),(238,1),(253,1),(339,1),(409,1)}
        59:{4,5,7}:{(35,1),(84,1),(90,1)}
        60:{3,4,6,7}:{(35,1),(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{2,4,7}:{(36,1),(37,1),(39,1),(92,1)}
        62:{1,4,6}:{(37,1),(40,1),(87,1),(92,1),(93,1),(346,1)}
        63:{2,3,6,7}:{(38,1),(39,1),(45,1),(80,1),(91,1),(94,1),(155,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(46,1),(81,1),(92,1),(94,1),(95,1),(98,1),(148,1),(165,1),(167,1),(258,1)}
        65:{2,5,6}:{(40,1),(93,1),(95,1),(99,1),(149,1),(157,1),(246,1)}
        66:{1,3,4}:{(41,1),(48,1),(97,1),(172,1),(183,1)}
        67:{2,3,7}:{(42,1),(43,1),(98,1),(167,1)}
        68:{1,3,6}:{(42,1),(44,1),(48,1),(98,1),(99,1)}
        69:{1,4,7}:{(43,1),(44,1),(46,1),(98,1)}
        70:{1,2,4,6}:{(44,1),(47,1),(49,1),(93,1),(99,1),(100,1),(101,1),(104,1),(177,1),(276,1),(360,1),(411,1)}
        71:{1,6,7}:{(45,1),(46,1),(362,1)}
        72:{1,2,5,7}:{(46,1),(47,1),(95,1),(100,1),(102,1),(103,1),(235,1),(270,1),(363,1),(420,1)}
        73:{1,3,5,6}:{(47,1),(96,1),(101,1),(103,1),(104,1),(179,1),(236,1),(245,1),(272,1),(274,1),(331,1),(340,1),(404,1),(412,1)}
        74:{2,5}:{(48,1),(97,1),(99,1)}
        75:{1,3,5}:{(49,1),(101,1),(106,1),(107,1),(161,1),(172,1),(408,1)}
        76:{2,4,5}:{(50,1),(52,1),(108,1),(109,1),(187,1),(281,1),(286,1)}
        77:{2,3,6}:{(52,1),(108,1),(110,1),(111,1),(128,1)}
        78:{2,4,7}:{(51,1),(52,1),(54,1),(110,1),(112,1),(190,1)}
        79:{1,4,6}:{(52,1),(55,1),(109,1),(111,1),(112,1)}
        80:{2,6,7}:{(53,1),(54,1),(114,1),(373,1)}
        81:{1,5,7}:{(54,1),(55,1),(112,1),(114,1)}
        82:{1,2,5,6}:{(55,1),(65,1),(113,1),(115,1),(116,1),(134,1),(197,1),(286,1),(293,1),(372,1),(373,1),(391,1)}
        83:{2,3,5}:{(57,1),(58,1),(118,1),(212,1),(222,1),(286,1),(431,1)}
        84:{4,5,6}:{(59,1),(119,1),(395,1),(448,1)}
        85:{3,4,6}:{(56,1),(119,1),(120,1),(311,1),(395,1)}
        86:{2,4,5,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(121,1),(125,1),(379,1),(431,1)}
        87:{1,4,5}:{(57,1),(62,1),(118,1),(122,1),(295,1),(387,1)}
        88:{2,3,4,7}:{(58,1),(61,1),(67,1),(110,1),(117,1),(123,1),(211,1),(221,1),(285,1),(303,1),(379,1)}
        89:{1,3,4,6}:{(58,1),(62,1),(66,1),(68,1),(111,1),(118,1),(123,1),(124,1),(128,1),(186,1),(198,1),(204,1),(206,1),(220,1),(284,1),(295,1),(300,1),(381,1)}
        90:{3,5,7}:{(59,1),(60,1),(119,1),(125,1)}
        91:{2,4,6,7}:{(60,1),(61,1),(63,1),(120,1),(125,1),(126,1)}
        92:{1,4,7}:{(61,1),(62,1),(64,1),(127,1),(309,1)}
        93:{2,4,6}:{(62,1),(65,1),(122,1),(127,1),(128,1)}
        94:{1,3,6,7}:{(63,1),(64,1),(71,1),(114,1),(126,1),(129,1),(198,1),(210,1)}
        95:{2,5,7}:{(64,1),(65,1),(127,1),(129,1),(135,1),(190,1)}
        96:{2,3,5,6}:{(65,1),(73,1),(116,1),(128,1),(130,1),(131,1),(136,1),(191,1),(200,1),(212,1),(222,1),(286,1),(292,1),(296,1),(299,1),(311,1),(313,1),(320,1),(373,1),(378,1),(384,1),(391,1),(430,1),(431,1),(449,1)}
        97:{2,4}:{(66,1),(74,1),(133,1)}
        98:{1,3,7}:{(67,1),(68,1),(69,1),(135,1)}
        99:{2,6}:{(68,1),(74,1),(135,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(72,1),(127,1),(135,1),(137,1),(140,1),(221,1),(324,1),(397,1),(433,1)}
       101:{1,3,6}:{(70,1),(75,1),(128,1),(136,1),(137,1),(430,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(129,1),(139,1),(293,1),(320,1),(398,1),(438,1)}
       103:{1,3,5,7}:{(72,1),(73,1),(130,1),(137,1),(139,1),(140,1),(225,1),(283,1),(371,1)}
       104:{1,4,6}:{(73,1),(131,1),(140,1),(141,1),(295,1)}
       105:{1,2,5}:{(74,1),(132,1),(134,1),(142,1),(315,1)}
       106:{2,3,5}:{(74,1),(75,1),(133,1),(136,1),(142,1),(143,1),(216,1),(222,1),(315,1)}
       107:{1,3,4}:{(75,1),(143,1),(204,1),(295,1),(377,1)}
       108:{2,3,5}:{(76,1),(77,1),(145,1),(146,1),(161,1)}
       109:{1,4,5}:{(76,1),(79,1),(146,1),(327,1),(331,1)}
       110:{2,3,7}:{(77,1),(78,1),(148,1),(167,1)}
       111:{1,3,6}:{(77,1),(79,1),(146,1),(148,1),(149,1)}
       112:{1,4,7}:{(78,1),(79,1),(81,1),(148,1)}
       113:{1,2,4,6}:{(79,1),(82,1),(93,1),(147,1),(149,1),(150,1),(151,1),(154,1),(238,1),(402,1),(411,1),(439,1)}
       114:{1,6,7}:{(80,1),(81,1),(404,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(95,1),(150,1),(152,1),(153,1),(174,1),(332,1),(405,1),(420,1)}
       116:{1,3,5,6}:{(82,1),(96,1),(151,1),(153,1),(154,1),(175,1),(240,1),(245,1),(269,1),(334,1),(336,1),(340,1),(362,1),(412,1)}
       117:{2,3,5,7}:{(83,1),(86,1),(88,1),(155,1),(156,1),(260,1),(270,1),(332,1)}
       118:{1,3,5}:{(83,1),(87,1),(89,1),(157,1),(161,1),(269,1),(331,1),(347,1),(412,1)}
       119:{3,5,6}:{(84,1),(85,1),(90,1),(158,1),(441,1)}
       120:{2,4,6}:{(85,1),(86,1),(155,1),(158,1),(159,1)}
       121:{1,4,5,7}:{(86,1),(87,1),(92,1),(156,1),(159,1),(160,1),(165,1),(341,1),(412,1)}
       122:{2,4,5}:{(87,1),(93,1),(157,1),(161,1),(248,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(92,1),(98,1),(148,1),(156,1),(163,1),(167,1),(251,1),(254,1),(268,1),(330,1),(341,1)}
       124:{2,4,6}:{(89,1),(97,1),(99,1),(149,1),(157,1),(163,1),(164,1),(231,1),(246,1),(248,1)}
       125:{2,5,7}:{(90,1),(91,1),(158,1),(165,1)}
       126:{1,4,6,7}:{(91,1),(92,1),(94,1),(159,1),(165,1),(166,1)}
       127:{2,4,7}:{(92,1),(93,1),(95,1),(167,1)}
       128:{3,6}:{(93,1),(161,1),(167,1)}
       129:{2,6,7}:{(94,1),(95,1),(246,1)}
       130:{2,3,5,7}:{(95,1),(96,1),(103,1),(153,1),(167,1),(169,1),(170,1),(176,1),(237,1),(258,1),(260,1),(262,1),(270,1),(332,1),(420,1),(443,1),(453,1)}
       131:{2,4,6}:{(96,1),(104,1),(154,1),(168,1),(170,1),(171,1),(248,1),(339,1),(346,1),(452,1)}
       132:{1,2,4}:{(97,1),(105,1),(172,1),(183,1),(265,1)}
       133:{2,3}:{(97,1),(172,1)}
       134:{1,2,6}:{(99,1),(105,1),(174,1),(175,1),(360,1)}
       135:{2,7}:{(98,1),(99,1)}
       136:{2,3,6}:{(99,1),(101,1),(106,1),(175,1),(176,1),(177,1),(360,1)}
       137:{1,3,7}:{(100,1),(101,1),(167,1),(176,1),(443,1)}
       138:{1,3,4,6}:{(101,1),(104,1),(107,1),(168,1),(177,1),(178,1),(179,1),(272,1)}
       139:{1,3,6,7}:{(102,1),(103,1),(169,1),(180,1),(272,1),(340,1),(404,1)}
       140:{1,4,7}:{(103,1),(104,1),(170,1)}
       141:{1,4,5}:{(104,1),(171,1),(179,1),(331,1),(412,1)}
       142:{1,3,5}:{(105,1),(106,1),(172,1),(175,1),(183,1),(269,1)}
       143:{2,4}:{(106,1),(107,1),(183,1)}
       144:{1,3,4,5}:{(107,1),(179,1),(184,1),(185,1),(252,1),(266,1),(342,1),(408,1)}
       145:{2,3,4}:{(108,1),(186,1),(204,1),(281,1),(365,1)}
       146:{1,3,5}:{(108,1),(109,1),(111,1),(186,1),(187,1)}
       147:{1,2,4,5}:{(109,1),(113,1),(122,1),(187,1),(188,1),(196,1),(197,1),(278,1),(281,1),(286,1),(295,1),(368,1),(380,1),(423,1)}
       148:{1,3,7}:{(110,1),(111,1),(112,1),(190,1)}
       149:{2,6}:{(111,1),(187,1),(190,1)}
       150:{1,2,4,7}:{(112,1),(113,1),(115,1),(127,1),(190,1),(192,1),(195,1),(285,1),(426,1),(433,1),(447,1)}
       151:{1,3,6}:{(113,1),(128,1),(188,1),(191,1),(192,1),(430,1)}
       152:{1,2,6,7}:{(114,1),(115,1),(129,1),(194,1),(293,1),(373,1),(427,1),(438,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(130,1),(192,1),(194,1),(195,1),(219,1),(289,1),(318,1)}
       154:{1,4,6}:{(116,1),(131,1),(195,1),(196,1),(295,1)}
       155:{2,3,6}:{(117,1),(120,1),(198,1),(311,1),(320,1),(373,1)}
       156:{1,3,5,7}:{(117,1),(118,1),(121,1),(123,1),(198,1),(199,1),(203,1),(318,1),(371,1)}
       157:{2,5}:{(118,1),(124,1)}
       158:{2,5,6}:{(119,1),(120,1),(125,1),(201,1),(431,1)}
       159:{1,4,6}:{(120,1),(121,1),(198,1),(201,1),(202,1)}
       160:{2,4,5,7}:{(121,1),(122,1),(127,1),(199,1),(202,1),(203,1),(209,1),(297,1),(309,1),(384,1),(387,1)}
       161:{3,5}:{(122,1),(128,1),(204,1)}
       162:{1,2,4,6}:{(124,1),(132,1),(134,1),(189,1),(197,1),(205,1),(206,1),(220,1),(278,1),(284,1),(293,1),(295,1),(304,1),(381,1)}
       163:{2,4,7}:{(123,1),(124,1),(135,1),(190,1),(199,1),(207,1)}
       164:{2,3,6}:{(124,1),(128,1),(133,1),(200,1),(206,1),(207,1),(279,1)}
       165:{1,5,7}:{(125,1),(126,1),(201,1),(209,1)}
       166:{2,4,6,7}:{(126,1),(127,1),(129,1),(202,1),(209,1),(210,1),(309,1)}
       167:{3,7}:{(127,1),(128,1)}
       168:{3,4,6}:{(128,1),(131,1),(204,1),(211,1),(212,1),(311,1),(377,1),(430,1)}
       169:{2,3,6,7}:{(129,1),(130,1),(139,1),(194,1),(210,1),(213,1),(296,1),(311,1),(320,1),(373,1),(378,1),(438,1),(450,1)}
       170:{2,4,7}:{(130,1),(131,1),(140,1),(195,1),(211,1),(309,1),(454,1)}
       171:{2,4,5}:{(131,1),(141,1),(196,1),(212,1),(222,1),(286,1),(384,1),(387,1),(431,1),(448,1)}
       172:{1,3}:{(132,1),(133,1),(216,1)}
       173:{2,3,4}:{(133,1),(143,1),(217,1),(218,1),(377,1)}
       174:{1,2,7}:{(134,1),(135,1),(219,1),(397,1)}
       175:{1,3,6}:{(134,1),(136,1),(142,1),(219,1),(220,1)}
       176:{2,3,7}:{(135,1),(136,1),(137,1),(219,1),(221,1),(397,1)}
       177:{2,4,6}:{(136,1),(138,1),(143,1),(220,1),(221,1),(222,1),(320,1)}
       178:{1,3,4,7}:{(137,1),(138,1),(140,1),(211,1),(221,1),(223,1)}
       179:{1,3,5}:{(138,1),(141,1),(212,1),(222,1)}
       180:{1,4,6,7}:{(139,1),(140,1),(213,1),(225,1),(226,1),(381,1)}
       181:{1,4,5,7}:{(140,1),(141,1),(214,1),(223,1),(225,1),(226,1),(371,1)}
       182:{1,4,5,6}:{(141,1),(215,1),(224,1),(226,1),(227,1),(372,1),(383,1),(434,1)}
       183:{1,4}:{(142,1),(143,1)}
       184:{2,4,5}:{(143,1),(144,1),(218,1),(222,1),(228,1),(229,1),(315,1)}
       185:{1,3,4,6}:{(144,1),(224,1),(229,1),(230,1),(302,1),(316,1),(383,1),(430,1)}
       186:{1,3,4}:{(145,1),(146,1),(231,1),(325,1),(327,1)}
       187:{2,5}:{(146,1),(149,1),(231,1)}
       188:{1,3,5}:{(147,1),(151,1),(161,1),(233,1),(234,1),(325,1),(408,1)}
       189:{1,2,6}:{(149,1),(232,1),(235,1),(236,1),(439,1)}
       190:{2,7}:{(148,1),(149,1)}
       191:{2,3,6}:{(149,1),(151,1),(233,1),(236,1),(237,1),(238,1),(439,1)}
       192:{1,3,7}:{(150,1),(151,1),(167,1),(237,1),(443,1)}
       193:{1,3,4,6}:{(151,1),(154,1),(168,1),(234,1),(238,1),(239,1),(240,1),(334,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(169,1),(241,1),(334,1),(340,1),(362,1)}
       195:{1,4,7}:{(153,1),(154,1),(170,1)}
       196:{1,4,5}:{(154,1),(171,1),(240,1),(269,1),(412,1)}
       197:{1,2,5}:{(157,1),(162,1),(245,1),(269,1),(331,1),(351,1),(412,1)}
       198:{1,3,6}:{(155,1),(156,1),(159,1),(246,1),(250,1),(362,1),(404,1)}
       199:{2,5,7}:{(156,1),(157,1),(163,1),(246,1)}
       200:{2,3,5}:{(157,1),(161,1),(164,1),(245,1),(248,1)}
       201:{1,5,6}:{(158,1),(159,1),(165,1),(249,1),(412,1)}
       202:{2,4,6}:{(159,1),(160,1),(246,1),(249,1),(250,1),(346,1)}
       203:{3,5,7}:{(160,1),(161,1),(167,1),(250,1),(251,1),(347,1)}
       204:{3,4}:{(161,1),(248,1)}
       205:{1,2,4,7}:{(162,1),(163,1),(174,1),(235,1),(244,1),(254,1),(268,1),(330,1),(341,1),(350,1)}
       206:{1,3,6}:{(162,1),(164,1),(172,1),(245,1),(253,1),(254,1),(325,1)}
       207:{2,3,7}:{(163,1),(164,1),(167,1),(254,1)}
       208:{2,3,4,6}:{(164,1),(168,1),(173,1),(177,1),(238,1),(248,1),(255,1),(256,1),(257,1),(267,1),(326,1),(343,1),(345,1),(354,1),(401,1)}
       209:{2,5,7}:{(165,1),(166,1),(249,1),(258,1)}
       210:{3,6,7}:{(166,1),(167,1),(250,1),(258,1)}
       211:{3,4,7}:{(167,1),(168,1),(170,1),(260,1),(443,1)}
       212:{3,5}:{(168,1),(171,1)}
       213:{2,4,6,7}:{(169,1),(170,1),(180,1),(241,1),(259,1),(262,1),(263,1),(343,1),(409,1)}
       214:{2,4,5,7}:{(170,1),(171,1),(181,1),(242,1),(260,1),(262,1),(263,1),(270,1),(332,1),(356,1)}
       215:{2,4,5,6}:{(171,1),(182,1),(243,1),(261,1),(263,1),(264,1),(271,1),(333,1),(345,1),(411,1),(415,1),(417,1),(444,1),(452,1)}
       216:{2,3}:{(172,1),(265,1)}
       217:{1,3,4}:{(172,1),(173,1),(183,1),(265,1),(266,1)}
       218:{2,3,5}:{(173,1),(184,1),(266,1),(267,1),(408,1)}
       219:{1,3,7}:{(174,1),(175,1),(176,1),(268,1)}
       220:{1,4,6}:{(175,1),(177,1),(183,1),(268,1),(269,1),(362,1)}
       221:{2,4,7}:{(176,1),(177,1),(178,1),(268,1),(270,1)}
       222:{2,5}:{(177,1),(179,1),(269,1)}
       223:{1,3,5,7}:{(178,1),(179,1),(181,1),(260,1),(270,1),(272,1)}
       224:{1,3,5,6}:{(179,1),(182,1),(185,1),(261,1),(271,1),(272,1),(273,1)}
       225:{1,5,7}:{(180,1),(262,1),(274,1),(412,1)}
       226:{1,4,6}:{(181,1),(263,1),(272,1),(274,1),(404,1)}
       227:{1,4,5,7}:{(182,1),(264,1),(273,1),(275,1),(405,1),(414,1),(446,1)}
       228:{1,4,5}:{(183,1),(184,1),(266,1),(269,1),(276,1)}
       229:{2,4,6}:{(184,1),(185,1),(267,1),(271,1),(276,1),(277,1),(360,1)}
       230:{1,3,4,7}:{(185,1),(273,1),(277,1),(349,1),(361,1),(414,1),(443,1)}
       231:{2,4}:{(186,1),(187,1),(279,1)}
       232:{1,2,5}:{(187,1),(189,1),(278,1),(280,1),(423,1)}
       233:{2,3,5}:{(187,1),(188,1),(191,1),(279,1),(280,1),(281,1),(286,1),(365,1),(423,1)}
       234:{1,3,4}:{(188,1),(204,1),(281,1),(295,1),(377,1)}
       235:{1,2,7}:{(189,1),(190,1),(283,1),(447,1)}
       236:{1,3,6}:{(189,1),(191,1),(280,1),(283,1),(284,1)}
       237:{2,3,7}:{(190,1),(191,1),(192,1),(283,1),(285,1),(447,1)}
       238:{2,4,6}:{(191,1),(193,1),(281,1),(284,1),(285,1),(286,1),(373,1)}
       239:{1,3,4,7}:{(192,1),(193,1),(195,1),(211,1),(285,1),(287,1)}
       240:{1,3,5}:{(193,1),(196,1),(212,1),(286,1)}
       241:{1,4,6,7}:{(194,1),(195,1),(213,1),(289,1),(290,1),(381,1)}
       242:{1,4,5,7}:{(195,1),(196,1),(214,1),(287,1),(289,1),(290,1),(318,1)}
       243:{1,4,5,6}:{(196,1),(215,1),(288,1),(290,1),(291,1),(319,1),(383,1),(434,1)}
       244:{1,2,5,7}:{(197,1),(199,1),(205,1),(293,1),(294,1),(318,1),(371,1),(390,1)}
       245:{1,3,5}:{(197,1),(200,1),(206,1),(292,1),(295,1)}
       246:{2,6}:{(198,1),(199,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(203,1),(207,1),(294,1),(296,1),(297,1),(384,1)}
       248:{2,4}:{(200,1),(204,1),(295,1)}
       249:{2,5,6}:{(201,1),(202,1),(209,1),(299,1),(384,1)}
       250:{3,6}:{(202,1),(203,1)}
       251:{3,4,7}:{(203,1),(204,1),(297,1),(300,1),(309,1)}
       252:{3,4,5}:{(204,1),(212,1),(298,1),(302,1),(448,1)}
       253:{2,3,6}:{(206,1),(216,1),(292,1),(303,1),(304,1),(365,1),(430,1)}
       254:{1,3,7}:{(205,1),(206,1),(207,1),(303,1)}
       255:{1,3,4,6}:{(206,1),(208,1),(217,1),(220,1),(284,1),(295,1),(304,1),(305,1),(306,1),(316,1),(366,1),(377,1),(381,1),(383,1),(392,1),(424,1),(428,1),(430,1)}
       256:{2,3,4,7}:{(207,1),(208,1),(211,1),(221,1),(285,1),(297,1),(305,1),(307,1),(317,1),(386,1),(425,1)}
       257:{2,3,5}:{(208,1),(212,1),(222,1),(286,1),(298,1),(306,1),(384,1)}
       258:{3,5,7}:{(209,1),(210,1),(299,1),(309,1)}
       259:{3,4,6,7}:{(210,1),(211,1),(213,1),(300,1),(309,1),(310,1),(311,1),(395,1),(428,1),(450,1),(454,1)}
       260:{3,5,7}:{(211,1),(212,1),(214,1),(311,1)}
       261:{3,5,6}:{(212,1),(215,1),(302,1),(311,1),(312,1),(430,1)}
       262:{2,5,7}:{(213,1),(225,1),(289,1),(310,1),(313,1),(384,1),(431,1)}
       263:{2,4,6}:{(214,1),(226,1),(290,1),(311,1),(313,1),(320,1),(373,1),(395,1)}
       264:{2,4,5,7}:{(215,1),(227,1),(291,1),(312,1),(314,1),(321,1),(374,1),(386,1),(433,1),(436,1),(437,1),(451,1),(454,1)}
       265:{2,4}:{(216,1),(217,1),(315,1)}
       266:{1,3,5}:{(217,1),(218,1),(228,1),(315,1),(316,1)}
       267:{2,3,6}:{(218,1),(229,1),(316,1),(317,1),(430,1)}
       268:{1,4,7}:{(219,1),(220,1),(221,1),(318,1)}
       269:{1,5}:{(220,1),(222,1)}
       270:{2,5,7}:{(221,1),(222,1),(223,1),(318,1),(320,1)}
       271:{2,5,6}:{(222,1),(224,1),(229,1),(319,1),(320,1),(321,1)}
       272:{1,3,6}:{(223,1),(226,1),(311,1),(320,1)}
       273:{1,3,5,7}:{(224,1),(227,1),(230,1),(312,1),(321,1),(322,1)}
       274:{1,5,6}:{(225,1),(226,1),(313,1)}
       275:{1,4,6,7}:{(226,1),(227,1),(314,1),(322,1),(323,1),(427,1)}
       276:{1,4,6}:{(228,1),(229,1),(316,1),(319,1),(324,1)}
       277:{2,4,7}:{(229,1),(230,1),(317,1),(321,1),(324,1),(397,1)}
       278:{1,2,4}:{(231,1),(232,1),(325,1),(327,1),(399,1)}
       279:{2,3}:{(231,1),(325,1)}
       280:{1,3,5}:{(232,1),(233,1),(236,1),(325,1),(327,1),(331,1)}
       281:{2,4}:{(233,1),(234,1),(327,1)}
       282:{1,3,4,5}:{(234,1),(240,1),(252,1),(328,1),(329,1),(342,1),(400,1),(408,1)}
       283:{1,3,7}:{(235,1),(236,1),(237,1),(330,1)}
       284:{1,4,6}:{(236,1),(238,1),(327,1),(330,1),(331,1),(404,1)}
       285:{2,4,7}:{(237,1),(238,1),(239,1),(330,1),(332,1)}
       286:{2,5}:{(238,1),(240,1),(331,1)}
       287:{1,3,5,7}:{(239,1),(240,1),(242,1),(260,1),(332,1),(334,1)}
       288:{1,3,5,6}:{(240,1),(243,1),(261,1),(329,1),(333,1),(334,1),(335,1)}
       289:{1,5,7}:{(241,1),(262,1),(336,1),(412,1)}
       290:{1,4,6}:{(242,1),(263,1),(334,1),(336,1),(362,1)}
       291:{1,4,5,7}:{(243,1),(264,1),(335,1),(337,1),(363,1),(414,1),(446,1)}
       292:{2,3,5}:{(245,1),(253,1),(339,1),(351,1),(408,1)}
       293:{1,2,6}:{(244,1),(246,1),(340,1),(362,1),(404,1),(419,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(247,1),(254,1),(338,1),(340,1),(341,1),(412,1)}
       295:{1,4}:{(245,1),(248,1),(339,1)}
       296:{2,3,6}:{(246,1),(247,1),(250,1),(340,1),(343,1)}
       297:{2,4,7}:{(247,1),(248,1),(251,1),(341,1),(343,1)}
       298:{2,4,5}:{(248,1),(252,1),(257,1),(342,1),(345,1)}
       299:{3,5,6}:{(249,1),(250,1),(258,1),(346,1),(347,1)}
       300:{3,4,6}:{(250,1),(251,1),(343,1),(346,1),(347,1)}
       301:{3,4,5,7}:{(251,1),(252,1),(260,1),(344,1),(347,1),(348,1),(349,1),(356,1),(418,1)}
       302:{3,4,6}:{(252,1),(261,1),(345,1),(349,1),(452,1)}
       303:{2,3,7}:{(253,1),(254,1),(350,1),(443,1)}
       304:{2,4,6}:{(253,1),(255,1),(265,1),(339,1),(350,1),(351,1),(360,1),(399,1),(419,1),(439,1)}
       305:{1,3,4,7}:{(254,1),(255,1),(256,1),(268,1),(330,1),(341,1),(350,1),(352,1),(361,1),(407,1),(414,1),(440,1),(443,1)}
       306:{1,3,5}:{(255,1),(257,1),(269,1),(331,1),(342,1),(351,1),(408,1),(412,1),(441,1)}
       307:{2,3,5,7}:{(256,1),(257,1),(260,1),(270,1),(332,1),(344,1),(352,1),(354,1)}
       308:{2,3,5,6}:{(257,1),(261,1),(267,1),(271,1),(333,1),(345,1),(353,1),(354,1),(355,1),(401,1),(415,1)}
       309:{4,7}:{(258,1),(346,1)}
       310:{3,5,7}:{(259,1),(262,1),(347,1),(356,1),(357,1),(441,1)}
       311:{3,6}:{(260,1),(263,1)}
       312:{3,5,7}:{(261,1),(264,1),(349,1),(358,1),(443,1)}
       313:{2,5,6}:{(262,1),(263,1),(274,1),(336,1),(357,1)}
       314:{2,4,6,7}:{(263,1),(264,1),(275,1),(337,1),(358,1),(359,1),(364,1),(406,1),(422,1)}
       315:{2,5}:{(265,1),(266,1),(360,1)}
       316:{1,3,6}:{(266,1),(267,1),(276,1),(360,1),(361,1)}
       317:{2,3,7}:{(267,1),(277,1),(361,1),(443,1)}
       318:{1,5,7}:{(268,1),(269,1),(270,1),(362,1)}
       319:{1,5,6}:{(269,1),(271,1),(276,1),(362,1),(363,1)}
       320:{2,6}:{(270,1),(272,1),(362,1)}
       321:{2,5,7}:{(271,1),(273,1),(277,1),(363,1),(364,1)}
       322:{1,3,6,7}:{(272,1),(273,1),(275,1),(358,1),(364,1)}
       323:{1,5,6,7}:{(274,1),(275,1),(359,1),(446,1)}
       324:{1,4,7}:{(276,1),(277,1),(361,1),(363,1)}
       325:{1,3}:{(278,1),(279,1),(365,1)}
       326:{2,3,4}:{(279,1),(281,1),(366,1),(367,1),(377,1)}
       327:{1,4}:{(280,1),(281,1)}
       328:{2,4,5}:{(281,1),(282,1),(286,1),(367,1),(368,1),(369,1),(423,1)}
       329:{1,3,4,6}:{(282,1),(288,1),(302,1),(369,1),(370,1),(383,1),(424,1),(430,1)}
       330:{1,4,7}:{(283,1),(284,1),(285,1),(371,1)}
       331:{1,5}:{(284,1),(286,1)}
       332:{2,5,7}:{(285,1),(286,1),(287,1),(371,1),(373,1)}
       333:{2,5,6}:{(286,1),(288,1),(369,1),(372,1),(373,1),(374,1)}
       334:{1,3,6}:{(287,1),(290,1),(311,1),(373,1)}
       335:{1,3,5,7}:{(288,1),(291,1),(312,1),(370,1),(374,1),(375,1)}
       336:{1,5,6}:{(289,1),(290,1),(313,1)}
       337:{1,4,6,7}:{(290,1),(291,1),(314,1),(375,1),(376,1),(398,1)}
       338:{2,3,5,7}:{(292,1),(294,1),(303,1),(378,1),(379,1),(390,1),(429,1),(431,1)}
       339:{2,4}:{(292,1),(295,1),(377,1)}
       340:{1,3,6}:{(293,1),(294,1),(296,1),(378,1),(381,1)}
       341:{1,4,7}:{(294,1),(295,1),(297,1),(379,1),(381,1)}
       342:{1,4,5}:{(295,1),(298,1),(306,1),(380,1),(383,1),(448,1)}
       343:{2,4,6}:{(296,1),(297,1),(300,1),(381,1),(384,1)}
       344:{2,4,5,7}:{(297,1),(298,1),(301,1),(307,1),(382,1),(384,1),(385,1),(386,1),(436,1)}
       345:{2,4,6}:{(298,1),(302,1),(308,1),(383,1),(386,1)}
       346:{4,6}:{(299,1),(309,1),(387,1)}
       347:{3,5}:{(300,1),(384,1),(387,1)}
       348:{3,4,6}:{(301,1),(311,1),(385,1),(388,1),(395,1)}
       349:{3,4,7}:{(302,1),(312,1),(386,1),(454,1)}
       350:{2,4,7}:{(303,1),(304,1),(305,1),(390,1),(397,1),(447,1)}
       351:{2,5}:{(304,1),(306,1)}
       352:{1,3,5,7}:{(305,1),(306,1),(307,1),(318,1),(371,1),(382,1),(390,1),(392,1),(429,1)}
       353:{1,3,5,6}:{(306,1),(308,1),(316,1),(319,1),(372,1),(383,1),(391,1),(392,1),(393,1),(424,1),(430,1),(434,1),(449,1)}
       354:{2,3,6}:{(307,1),(311,1),(320,1),(373,1),(385,1),(392,1)}
       355:{2,3,5,7}:{(308,1),(312,1),(317,1),(321,1),(374,1),(386,1),(393,1),(394,1),(425,1),(436,1)}
       356:{4,5,7}:{(309,1),(310,1),(387,1),(395,1),(448,1),(454,1)}
       357:{3,5,6}:{(310,1),(311,1),(313,1),(395,1)}
       358:{3,6,7}:{(311,1),(312,1),(314,1)}
       359:{2,5,6,7}:{(313,1),(314,1),(323,1),(376,1),(396,1),(436,1),(451,1)}
       360:{2,6}:{(315,1),(316,1),(397,1)}
       361:{1,3,7}:{(316,1),(317,1),(324,1),(397,1)}
       362:{1,6}:{(318,1),(320,1)}
       363:{1,5,7}:{(319,1),(321,1),(324,1),(398,1)}
       364:{2,6,7}:{(320,1),(321,1),(322,1),(398,1)}
       365:{2,3}:{(325,1),(399,1)}
       366:{1,3,4}:{(325,1),(326,1),(327,1),(399,1),(400,1)}
       367:{2,3,5}:{(326,1),(328,1),(400,1),(401,1),(408,1)}
       368:{1,4,5}:{(327,1),(328,1),(331,1),(400,1),(402,1)}
       369:{2,4,6}:{(328,1),(329,1),(333,1),(401,1),(402,1),(403,1),(439,1)}
       370:{1,3,4,7}:{(329,1),(335,1),(349,1),(403,1),(414,1),(440,1),(443,1)}
       371:{1,5,7}:{(330,1),(331,1),(332,1),(404,1)}
       372:{1,5,6}:{(331,1),(333,1),(402,1),(404,1),(405,1)}
       373:{2,6}:{(332,1),(334,1),(404,1)}
       374:{2,5,7}:{(333,1),(335,1),(403,1),(405,1),(406,1)}
       375:{1,3,6,7}:{(334,1),(335,1),(337,1),(358,1),(406,1)}
       376:{1,5,6,7}:{(336,1),(337,1),(359,1),(446,1)}
       377:{3,4}:{(339,1),(408,1)}
       378:{2,3,6}:{(338,1),(340,1),(409,1),(419,1),(442,1)}
       379:{2,4,7}:{(338,1),(339,1),(341,1),(407,1),(409,1)}
       380:{2,4,5}:{(339,1),(342,1),(351,1),(408,1),(411,1)}
       381:{1,4,6}:{(340,1),(341,1),(343,1),(409,1),(412,1)}
       382:{1,4,5,7}:{(341,1),(342,1),(344,1),(352,1),(410,1),(412,1),(413,1),(414,1),(446,1)}
       383:{1,4,6}:{(342,1),(345,1),(353,1),(411,1),(414,1),(452,1)}
       384:{2,5}:{(343,1),(347,1),(412,1)}
       385:{2,4,6}:{(344,1),(348,1),(354,1),(413,1),(415,1)}
       386:{2,4,7}:{(345,1),(349,1),(355,1),(414,1)}
       387:{4,5}:{(346,1),(347,1)}
       388:{3,5,6}:{(347,1),(348,1),(415,1),(417,1),(418,1)}
       389:{3,4,6,7}:{(348,1),(349,1),(358,1),(416,1),(418,1),(422,1)}
       390:{2,5,7}:{(350,1),(351,1),(352,1),(419,1)}
       391:{2,5,6}:{(351,1),(353,1),(360,1),(411,1),(419,1),(420,1),(439,1)}
       392:{1,3,6}:{(352,1),(354,1),(362,1),(404,1),(413,1),(419,1),(442,1)}
       393:{1,3,5,7}:{(353,1),(355,1),(361,1),(363,1),(405,1),(414,1),(420,1),(421,1),(440,1),(443,1),(446,1),(453,1)}
       394:{2,3,6,7}:{(354,1),(355,1),(358,1),(364,1),(406,1),(416,1),(421,1)}
       395:{4,6}:{(356,1),(357,1)}
       396:{3,5,6,7}:{(357,1),(358,1),(359,1),(418,1),(422,1),(453,1)}
       397:{2,7}:{(360,1),(361,1)}
       398:{1,6,7}:{(362,1),(363,1),(364,1)}
       399:{2,4}:{(365,1),(366,1),(423,1)}
       400:{1,3,5}:{(366,1),(367,1),(368,1),(423,1),(424,1)}
       401:{2,3,6}:{(367,1),(369,1),(424,1),(425,1),(430,1)}
       402:{1,4,6}:{(368,1),(369,1),(372,1),(424,1),(426,1)}
       403:{2,4,7}:{(369,1),(370,1),(374,1),(425,1),(426,1),(447,1)}
       404:{1,6}:{(371,1),(373,1)}
       405:{1,5,7}:{(372,1),(374,1),(426,1),(427,1)}
       406:{2,6,7}:{(373,1),(374,1),(375,1),(427,1)}
       407:{3,4,7}:{(377,1),(379,1),(428,1),(429,1),(454,1)}
       408:{3,5}:{(377,1),(380,1),(430,1)}
       409:{2,4,6}:{(378,1),(379,1),(381,1),(428,1),(431,1)}
       410:{2,4,5,7}:{(379,1),(380,1),(382,1),(390,1),(429,1),(431,1),(432,1),(433,1),(448,1),(451,1),(454,1)}
       411:{2,4,6}:{(380,1),(383,1),(391,1),(430,1),(433,1)}
       412:{1,5}:{(381,1),(384,1),(431,1)}
       413:{1,4,6}:{(382,1),(385,1),(392,1),(432,1),(434,1)}
       414:{1,4,7}:{(383,1),(386,1),(393,1),(433,1),(454,1)}
       415:{2,5,6}:{(384,1),(385,1),(388,1),(434,1),(436,1)}
       416:{2,4,6,7}:{(385,1),(386,1),(389,1),(394,1),(435,1),(436,1)}
       417:{4,5,6}:{(387,1),(388,1),(395,1),(437,1)}
       418:{3,5,7}:{(388,1),(389,1),(436,1),(437,1)}
       419:{2,6}:{(390,1),(392,1)}
       420:{2,5,7}:{(391,1),(393,1),(397,1),(433,1),(438,1),(447,1)}
       421:{1,3,6,7}:{(392,1),(393,1),(394,1),(398,1),(427,1),(435,1),(438,1),(450,1)}
       422:{4,6,7}:{(395,1),(396,1),(437,1),(454,1)}
       423:{2,5}:{(399,1),(400,1),(439,1)}
       424:{1,3,6}:{(400,1),(401,1),(402,1),(439,1),(440,1)}
       425:{2,3,7}:{(401,1),(403,1),(440,1),(443,1)}
       426:{1,4,7}:{(402,1),(403,1),(405,1),(440,1)}
       427:{1,6,7}:{(404,1),(405,1),(406,1)}
       428:{3,4,6}:{(407,1),(409,1),(441,1),(442,1),(452,1)}
       429:{3,5,7}:{(407,1),(408,1),(410,1),(441,1),(442,1),(443,1)}
       430:{3,6}:{(408,1),(411,1),(443,1)}
       431:{2,5}:{(409,1),(412,1),(441,1)}
       432:{2,4,6}:{(410,1),(413,1),(419,1),(442,1),(444,1),(452,1)}
       433:{2,4,7}:{(411,1),(414,1),(420,1),(443,1)}
       434:{1,5,6}:{(412,1),(413,1),(415,1),(444,1),(446,1)}
       435:{1,4,6,7}:{(413,1),(414,1),(416,1),(421,1),(445,1),(446,1)}
       436:{2,5,7}:{(415,1),(416,1),(418,1),(446,1)}
       437:{4,5,7}:{(417,1),(418,1),(422,1)}
       438:{2,6,7}:{(419,1),(420,1),(421,1)}
       439:{2,6}:{(423,1),(424,1),(447,1)}
       440:{1,3,7}:{(424,1),(425,1),(426,1),(447,1)}
       441:{3,5}:{(428,1),(431,1),(448,1)}
       442:{3,6}:{(429,1),(432,1)}
       443:{3,7}:{(430,1),(433,1)}
       444:{2,5,6}:{(431,1),(432,1),(434,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(432,1),(433,1),(435,1),(438,1),(450,1),(451,1),(454,1)}
       446:{1,5,7}:{(434,1),(435,1),(436,1),(451,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 668 :   0:{1,5,6,7}:{(1,1),(2,1),(98,1),(190,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(69,1),(133,1),(223,1)}
         2:{1,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(64,1),(234,1)}
         3:{1,4,5,6}:{(7,1),(8,1),(10,1),(66,1),(76,1),(130,1),(153,1),(234,1)}
         4:{1,5,6,7}:{(1,1),(12,1),(98,1),(251,1)}
         5:{3,5,6,7}:{(1,1),(14,1),(16,1),(44,1),(172,1),(263,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(19,1),(40,1),(270,1)}
         7:{2,4,5,6}:{(3,1),(13,1),(15,1),(17,1),(21,1),(42,1),(43,1),(50,1),(96,1),(107,1),(169,1),(183,1),(258,1),(270,1)}
         8:{1,4,5,7}:{(2,1),(3,1),(15,1),(18,1),(90,1),(98,1),(103,1)}
         9:{1,3,6,7}:{(2,1),(16,1),(18,1),(19,1),(282,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(18,1),(20,1),(21,1),(193,1),(282,1)}
        11:{1,3,4,5}:{(20,1),(22,1),(46,1),(59,1),(101,1),(119,1),(175,1),(193,1)}
        12:{1,4,6,7}:{(4,1),(6,1),(23,1),(24,1),(34,1),(297,1)}
        13:{1,4,5,6}:{(7,1),(23,1),(25,1),(36,1),(76,1),(130,1),(208,1),(297,1)}
        14:{4,6,7}:{(5,1),(26,1),(214,1),(310,1)}
        15:{2,4,5,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(28,1),(33,1),(63,1),(69,1),(72,1),(133,1),(138,1),(214,1)}
        16:{3,6,7}:{(6,1),(28,1),(319,1)}
        17:{3,5,6}:{(7,1),(28,1),(30,1),(142,1),(226,1),(319,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(32,1),(33,1)}
        19:{2,6,7}:{(9,1),(33,1),(34,1),(329,1)}
        20:{1,3,4,6}:{(10,1),(11,1),(30,1),(32,1),(35,1),(76,1),(83,1),(142,1)}
        21:{2,5,6}:{(10,1),(33,1),(35,1),(36,1),(237,1),(329,1)}
        22:{2,4,5}:{(11,1),(35,1),(37,1),(38,1),(86,1),(155,1),(237,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(15,1),(39,1),(54,1),(98,1),(103,1)}
        24:{1,3,6,7}:{(12,1),(16,1),(39,1),(40,1),(341,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(39,1),(41,1),(42,1),(254,1),(341,1)}
        26:{4,5,7}:{(14,1),(43,1),(44,1)}
        27:{3,4,6,7}:{(14,1),(16,1),(44,1),(45,1),(47,1),(95,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(47,1),(177,1)}
        29:{2,3,6,7}:{(16,1),(19,1),(40,1),(45,1),(48,1),(49,1),(167,1)}
        30:{3,4,6}:{(17,1),(46,1),(47,1),(50,1),(258,1)}
        31:{2,3,5,6}:{(17,1),(21,1),(42,1),(48,1),(50,1),(51,1),(56,1),(92,1),(96,1),(100,1),(167,1)}
        32:{1,3,4,7}:{(18,1),(20,1),(47,1),(53,1),(103,1),(110,1),(177,1)}
        33:{2,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1)}
        34:{1,6,7}:{(19,1),(54,1),(368,1)}
        35:{2,4,6}:{(20,1),(21,1),(22,1),(53,1),(56,1),(57,1),(114,1)}
        36:{1,5,6}:{(21,1),(54,1),(57,1),(284,1),(368,1)}
        37:{2,3,5}:{(22,1),(52,1),(56,1),(59,1),(175,1)}
        38:{1,4,5}:{(22,1),(57,1),(59,1),(195,1),(284,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(25,1),(28,1),(62,1),(63,1)}
        40:{2,6,7}:{(24,1),(63,1),(64,1),(378,1)}
        41:{1,3,4,6}:{(25,1),(30,1),(61,1),(62,1),(65,1),(76,1),(126,1),(142,1)}
        42:{2,5,6}:{(25,1),(63,1),(65,1),(66,1),(300,1),(378,1)}
        43:{4,5,6}:{(26,1),(67,1),(310,1),(448,1)}
        44:{3,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(69,1),(70,1),(72,1),(129,1)}
        46:{3,4,5}:{(30,1),(71,1),(226,1),(306,1),(391,1)}
        47:{3,4,7}:{(28,1),(30,1),(72,1),(214,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(31,1),(33,1),(63,1),(69,1),(72,1),(73,1),(79,1),(122,1)}
        49:{1,3,6,7}:{(29,1),(34,1),(64,1),(70,1),(73,1),(74,1),(134,1),(209,1)}
        50:{2,4,6}:{(30,1),(31,1),(71,1),(72,1),(76,1)}
        51:{1,3,5,6}:{(31,1),(36,1),(66,1),(73,1),(76,1),(77,1),(83,1),(126,1),(130,1),(135,1),(142,1),(209,1),(211,1)}
        52:{2,3,4}:{(37,1),(78,1),(155,1),(218,1),(228,1)}
        53:{2,4,7}:{(32,1),(33,1),(35,1),(79,1),(80,1),(146,1)}
        54:{1,5,7}:{(33,1),(34,1),(36,1),(80,1)}
        55:{1,2,6,7}:{(34,1),(74,1),(81,1),(82,1),(303,1),(329,1),(401,1),(438,1)}
        56:{2,3,6}:{(35,1),(37,1),(79,1),(83,1),(142,1)}
        57:{1,4,6}:{(35,1),(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,5,6}:{(36,1),(77,1),(81,1),(84,1),(85,1),(205,1),(216,1),(237,1),(303,1),(329,1),(331,1),(398,1)}
        59:{1,3,5}:{(37,1),(38,1),(78,1),(83,1),(86,1)}
        60:{1,2,4,5}:{(38,1),(84,1),(86,1),(87,1),(136,1),(144,1),(153,1),(155,1),(216,1),(237,1),(240,1),(313,1),(325,1),(392,1)}
        61:{1,3,4,5}:{(41,1),(46,1),(88,1),(101,1),(158,1),(175,1),(246,1),(254,1)}
        62:{1,3,4,7}:{(39,1),(41,1),(47,1),(89,1),(103,1),(160,1),(177,1)}
        63:{2,5,7}:{(39,1),(40,1),(42,1),(89,1),(90,1)}
        64:{1,6,7}:{(40,1),(90,1),(407,1)}
        65:{2,4,6}:{(41,1),(42,1),(88,1),(89,1),(92,1),(93,1),(164,1)}
        66:{1,5,6}:{(42,1),(90,1),(93,1),(343,1),(407,1)}
        67:{3,5,6}:{(43,1),(44,1),(95,1),(96,1),(441,1)}
        68:{3,4,5,7}:{(44,1),(46,1),(47,1),(95,1),(97,1),(262,1),(269,1),(414,1),(441,1)}
        69:{2,5,7}:{(44,1),(45,1),(96,1),(98,1)}
        70:{1,4,6,7}:{(45,1),(49,1),(98,1),(99,1),(103,1),(168,1)}
        71:{2,4,5}:{(46,1),(50,1),(100,1),(101,1),(355,1)}
        72:{2,4,7}:{(47,1),(48,1),(50,1),(103,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(51,1),(54,1),(90,1),(98,1),(103,1),(104,1),(110,1),(160,1),(172,1),(177,1)}
        74:{2,6,7}:{(49,1),(104,1),(256,1)}
        75:{2,3,4,6}:{(50,1),(52,1),(56,1),(92,1),(100,1),(102,1),(106,1),(157,1),(167,1),(182,1),(192,1),(253,1),(272,1),(355,1),(410,1)}
        76:{1,4,6}:{(50,1),(51,1),(101,1),(103,1),(107,1),(258,1)}
        77:{2,5,6}:{(51,1),(104,1),(107,1),(114,1),(164,1),(174,1),(256,1)}
        78:{1,3,4}:{(52,1),(59,1),(109,1),(184,1),(195,1)}
        79:{2,3,7}:{(53,1),(56,1),(110,1),(177,1)}
        80:{1,4,7}:{(53,1),(54,1),(57,1),(110,1)}
        81:{1,2,5,7}:{(54,1),(55,1),(58,1),(104,1),(111,1),(112,1),(247,1),(281,1),(370,1),(423,1)}
        82:{1,3,6,7}:{(55,1),(105,1),(112,1),(113,1),(282,1),(346,1),(407,1)}
        83:{1,3,6}:{(56,1),(57,1),(59,1),(110,1),(114,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(60,1),(107,1),(111,1),(114,1),(115,1),(116,1),(192,1),(287,1),(366,1),(419,1)}
        85:{1,3,5,6}:{(58,1),(108,1),(112,1),(115,1),(116,1),(190,1),(193,1),(252,1),(264,1),(282,1),(343,1),(346,1),(407,1),(411,1)}
        86:{2,5}:{(59,1),(109,1),(114,1)}
        87:{1,3,5}:{(60,1),(115,1),(118,1),(119,1),(175,1),(184,1),(418,1)}
        88:{2,4,5}:{(61,1),(65,1),(120,1),(121,1),(199,1),(292,1),(300,1)}
        89:{2,4,7}:{(62,1),(63,1),(65,1),(122,1),(123,1),(201,1)}
        90:{1,5,7}:{(63,1),(64,1),(66,1),(123,1)}
        91:{1,2,6,7}:{(64,1),(74,1),(124,1),(125,1),(303,1),(378,1),(428,1),(438,1)}
        92:{2,3,6}:{(65,1),(120,1),(122,1),(126,1),(142,1)}
        93:{1,4,6}:{(65,1),(66,1),(121,1),(123,1),(126,1)}
        94:{1,2,5,6}:{(66,1),(77,1),(124,1),(127,1),(128,1),(150,1),(216,1),(300,1),(303,1),(378,1),(380,1),(398,1)}
        95:{3,4,6}:{(67,1),(68,1),(129,1),(310,1),(319,1)}
        96:{2,5,6}:{(67,1),(69,1),(129,1),(130,1),(430,1)}
        97:{2,4,5,7}:{(68,1),(69,1),(71,1),(72,1),(129,1),(131,1),(132,1),(387,1),(430,1)}
        98:{1,5,7}:{(69,1),(70,1),(130,1),(133,1)}
        99:{2,4,6,7}:{(70,1),(74,1),(133,1),(134,1),(138,1),(210,1),(214,1)}
       100:{2,3,5}:{(71,1),(75,1),(135,1),(226,1),(237,1),(300,1),(430,1)}
       101:{1,4,5}:{(71,1),(76,1),(135,1),(136,1),(306,1),(313,1)}
       102:{2,3,4,7}:{(72,1),(75,1),(79,1),(122,1),(131,1),(137,1),(221,1),(232,1),(295,1),(316,1),(387,1)}
       103:{1,4,7}:{(72,1),(73,1),(76,1),(138,1),(214,1)}
       104:{2,5,7}:{(73,1),(74,1),(77,1),(138,1),(146,1),(201,1)}
       105:{2,3,6,7}:{(74,1),(82,1),(125,1),(134,1),(139,1),(140,1),(304,1),(319,1),(329,1),(378,1),(382,1),(438,1),(451,1)}
       106:{1,3,4,6}:{(75,1),(76,1),(78,1),(83,1),(126,1),(135,1),(137,1),(141,1),(142,1),(198,1),(209,1),(218,1),(224,1),(236,1),(299,1),(305,1),(313,1),(383,1)}
       107:{2,4,6}:{(76,1),(77,1),(136,1),(138,1),(142,1)}
       108:{2,3,5,6}:{(77,1),(85,1),(128,1),(139,1),(142,1),(143,1),(151,1),(206,1),(211,1),(217,1),(223,1),(226,1),(237,1),(300,1),(304,1),(312,1),(319,1),(329,1),(378,1),(382,1),(384,1),(398,1),(430,1),(436,1),(449,1)}
       109:{2,4}:{(78,1),(86,1),(145,1)}
       110:{1,3,7}:{(79,1),(80,1),(83,1),(146,1)}
       111:{1,2,4,7}:{(80,1),(81,1),(84,1),(138,1),(146,1),(147,1),(148,1),(232,1),(333,1),(400,1),(437,1)}
       112:{1,3,5,7}:{(81,1),(82,1),(85,1),(139,1),(147,1),(148,1),(149,1),(294,1),(377,1)}
       113:{1,4,6,7}:{(82,1),(140,1),(148,1),(149,1),(234,1),(383,1)}
       114:{2,6}:{(83,1),(86,1),(146,1)}
       115:{1,3,6}:{(84,1),(87,1),(142,1),(147,1),(151,1),(436,1)}
       116:{1,4,6}:{(85,1),(143,1),(148,1),(153,1),(313,1)}
       117:{1,2,5}:{(86,1),(144,1),(150,1),(154,1),(325,1)}
       118:{2,3,5}:{(86,1),(87,1),(145,1),(151,1),(154,1),(155,1),(228,1),(237,1),(325,1)}
       119:{1,3,4}:{(87,1),(155,1),(218,1),(313,1),(391,1)}
       120:{2,3,5}:{(88,1),(92,1),(157,1),(158,1),(175,1)}
       121:{1,4,5}:{(88,1),(93,1),(158,1),(336,1),(343,1)}
       122:{2,3,7}:{(89,1),(92,1),(160,1),(177,1)}
       123:{1,4,7}:{(89,1),(90,1),(93,1),(160,1)}
       124:{1,2,5,7}:{(90,1),(91,1),(94,1),(104,1),(161,1),(162,1),(186,1),(340,1),(409,1),(423,1)}
       125:{1,3,6,7}:{(91,1),(105,1),(162,1),(163,1),(341,1),(346,1),(368,1)}
       126:{1,3,6}:{(92,1),(93,1),(158,1),(160,1),(164,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(107,1),(159,1),(161,1),(164,1),(165,1),(166,1),(253,1),(405,1),(419,1),(439,1)}
       128:{1,3,5,6}:{(94,1),(108,1),(162,1),(165,1),(166,1),(191,1),(251,1),(254,1),(264,1),(284,1),(341,1),(346,1),(368,1),(411,1)}
       129:{2,4,6}:{(95,1),(96,1),(97,1),(167,1),(168,1)}
       130:{1,5,6}:{(96,1),(98,1),(168,1),(169,1),(411,1)}
       131:{2,3,5,7}:{(97,1),(100,1),(102,1),(167,1),(170,1),(269,1),(281,1),(340,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(101,1),(103,1),(168,1),(170,1),(171,1),(351,1),(411,1)}
       133:{2,5,7}:{(98,1),(99,1),(169,1),(172,1)}
       134:{3,6,7}:{(99,1),(172,1),(177,1),(257,1)}
       135:{1,3,5}:{(100,1),(101,1),(106,1),(174,1),(175,1),(284,1),(343,1),(348,1),(411,1)}
       136:{2,4,5}:{(101,1),(107,1),(174,1),(175,1),(265,1)}
       137:{1,3,4,7}:{(102,1),(103,1),(106,1),(110,1),(160,1),(170,1),(176,1),(177,1),(261,1),(267,1),(280,1),(339,1),(351,1)}
       138:{2,4,7}:{(103,1),(104,1),(107,1),(177,1)}
       139:{2,3,5,7}:{(104,1),(105,1),(108,1),(112,1),(162,1),(172,1),(177,1),(178,1),(179,1),(187,1),(248,1),(269,1),(281,1),(340,1),(423,1),(446,1),(453,1)}
       140:{2,4,6,7}:{(105,1),(113,1),(163,1),(173,1),(178,1),(179,1),(270,1),(347,1),(410,1)}
       141:{2,4,6}:{(106,1),(109,1),(114,1),(164,1),(174,1),(176,1),(181,1),(243,1),(256,1),(265,1)}
       142:{3,6}:{(107,1),(175,1),(177,1)}
       143:{2,4,6}:{(108,1),(116,1),(166,1),(178,1),(182,1),(183,1),(258,1),(265,1),(355,1),(452,1)}
       144:{1,2,4}:{(109,1),(117,1),(184,1),(195,1),(277,1)}
       145:{2,3}:{(109,1),(184,1)}
       146:{2,7}:{(110,1),(114,1)}
       147:{1,3,7}:{(111,1),(115,1),(177,1),(187,1),(446,1)}
       148:{1,4,7}:{(112,1),(116,1),(178,1)}
       149:{1,5,7}:{(113,1),(179,1),(190,1),(411,1)}
       150:{1,2,6}:{(114,1),(117,1),(186,1),(191,1),(366,1)}
       151:{2,3,6}:{(114,1),(115,1),(118,1),(187,1),(191,1),(192,1),(366,1)}
       152:{1,3,4,6}:{(115,1),(116,1),(119,1),(182,1),(188,1),(192,1),(193,1),(282,1)}
       153:{1,4,5}:{(116,1),(183,1),(193,1),(343,1),(411,1)}
       154:{1,3,5}:{(117,1),(118,1),(184,1),(191,1),(195,1),(284,1)}
       155:{2,4}:{(118,1),(119,1),(195,1)}
       156:{1,3,4,5}:{(119,1),(193,1),(196,1),(197,1),(266,1),(278,1),(356,1),(418,1)}
       157:{2,3,4}:{(120,1),(198,1),(218,1),(292,1),(371,1)}
       158:{1,3,5}:{(120,1),(121,1),(126,1),(198,1),(199,1)}
       159:{1,2,4,5}:{(121,1),(127,1),(136,1),(199,1),(200,1),(208,1),(216,1),(289,1),(292,1),(300,1),(313,1),(374,1),(392,1),(424,1)}
       160:{1,3,7}:{(122,1),(123,1),(126,1),(201,1)}
       161:{1,2,4,7}:{(123,1),(124,1),(127,1),(138,1),(201,1),(202,1),(203,1),(295,1),(427,1),(437,1),(447,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(128,1),(139,1),(202,1),(203,1),(204,1),(231,1),(328,1)}
       163:{1,4,6,7}:{(125,1),(140,1),(203,1),(204,1),(297,1),(383,1)}
       164:{2,6}:{(126,1),(199,1),(201,1)}
       165:{1,3,6}:{(127,1),(142,1),(200,1),(202,1),(206,1),(436,1)}
       166:{1,4,6}:{(128,1),(143,1),(203,1),(208,1),(313,1)}
       167:{2,3,6}:{(129,1),(131,1),(209,1),(319,1),(329,1),(378,1)}
       168:{1,4,6}:{(129,1),(130,1),(132,1),(209,1),(210,1)}
       169:{2,5,6}:{(130,1),(133,1),(210,1),(211,1),(384,1)}
       170:{1,3,5,7}:{(131,1),(132,1),(135,1),(137,1),(209,1),(212,1),(213,1),(328,1),(377,1)}
       171:{2,4,5,7}:{(132,1),(133,1),(136,1),(138,1),(210,1),(212,1),(213,1),(214,1),(306,1),(308,1),(384,1)}
       172:{3,5,7}:{(133,1),(134,1),(211,1),(214,1)}
       173:{3,4,6,7}:{(134,1),(140,1),(214,1),(215,1),(221,1),(305,1),(310,1),(319,1),(429,1),(451,1),(454,1)}
       174:{2,5}:{(135,1),(141,1)}
       175:{3,5}:{(136,1),(142,1),(218,1)}
       176:{2,4,7}:{(137,1),(141,1),(146,1),(201,1),(212,1),(220,1)}
       177:{3,7}:{(138,1),(142,1)}
       178:{2,4,7}:{(139,1),(143,1),(148,1),(203,1),(214,1),(221,1),(454,1)}
       179:{2,5,7}:{(140,1),(149,1),(204,1),(215,1),(223,1),(384,1),(430,1)}
       180:{1,2,4,6}:{(141,1),(144,1),(150,1),(205,1),(216,1),(219,1),(224,1),(236,1),(289,1),(299,1),(303,1),(313,1),(321,1),(383,1)}
       181:{2,3,6}:{(141,1),(142,1),(145,1),(217,1),(220,1),(224,1),(290,1)}
       182:{3,4,6}:{(142,1),(143,1),(218,1),(221,1),(226,1),(319,1),(391,1),(436,1)}
       183:{2,4,5}:{(143,1),(153,1),(208,1),(226,1),(237,1),(300,1),(306,1),(384,1),(430,1),(448,1)}
       184:{1,3}:{(144,1),(145,1),(228,1)}
       185:{2,3,4}:{(145,1),(155,1),(229,1),(230,1),(391,1)}
       186:{1,2,7}:{(146,1),(150,1),(231,1),(400,1)}
       187:{2,3,7}:{(146,1),(147,1),(151,1),(231,1),(232,1),(400,1)}
       188:{1,3,4,7}:{(147,1),(148,1),(152,1),(221,1),(232,1),(233,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(153,1),(222,1),(233,1),(234,1),(377,1)}
       190:{1,5,6}:{(149,1),(223,1),(234,1)}
       191:{1,3,6}:{(150,1),(151,1),(154,1),(231,1),(236,1)}
       192:{2,4,6}:{(151,1),(152,1),(155,1),(232,1),(236,1),(237,1),(329,1)}
       193:{1,3,5}:{(152,1),(153,1),(226,1),(237,1)}
       194:{1,4,5,6}:{(153,1),(227,1),(234,1),(238,1),(239,1),(380,1),(393,1),(431,1)}
       195:{1,4}:{(154,1),(155,1)}
       196:{2,4,5}:{(155,1),(156,1),(230,1),(237,1),(240,1),(241,1),(325,1)}
       197:{1,3,4,6}:{(156,1),(238,1),(241,1),(242,1),(315,1),(326,1),(393,1),(436,1)}
       198:{1,3,4}:{(157,1),(158,1),(243,1),(334,1),(336,1)}
       199:{2,5}:{(158,1),(164,1),(243,1)}
       200:{1,3,5}:{(159,1),(165,1),(175,1),(245,1),(246,1),(334,1),(418,1)}
       201:{2,7}:{(160,1),(164,1)}
       202:{1,3,7}:{(161,1),(165,1),(177,1),(248,1),(446,1)}
       203:{1,4,7}:{(162,1),(166,1),(178,1)}
       204:{1,5,7}:{(163,1),(179,1),(251,1),(411,1)}
       205:{1,2,6}:{(164,1),(244,1),(247,1),(252,1),(439,1)}
       206:{2,3,6}:{(164,1),(165,1),(245,1),(248,1),(252,1),(253,1),(439,1)}
       207:{1,3,4,6}:{(165,1),(166,1),(182,1),(246,1),(249,1),(253,1),(254,1),(341,1)}
       208:{1,4,5}:{(166,1),(183,1),(254,1),(284,1),(411,1)}
       209:{1,3,6}:{(167,1),(168,1),(170,1),(256,1),(257,1),(368,1),(407,1)}
       210:{2,4,6}:{(168,1),(169,1),(171,1),(256,1),(257,1),(258,1)}
       211:{3,5,6}:{(169,1),(172,1),(257,1),(258,1),(348,1)}
       212:{2,5,7}:{(170,1),(174,1),(176,1),(256,1)}
       213:{3,5,7}:{(171,1),(175,1),(177,1),(257,1),(261,1),(348,1)}
       214:{4,7}:{(172,1),(258,1)}
       215:{3,5,7}:{(173,1),(179,1),(262,1),(263,1),(348,1),(441,1)}
       216:{1,2,5}:{(174,1),(180,1),(264,1),(284,1),(343,1),(363,1),(411,1)}
       217:{2,3,5}:{(174,1),(175,1),(181,1),(264,1),(265,1)}
       218:{3,4}:{(175,1),(265,1)}
       219:{1,2,4,7}:{(176,1),(180,1),(186,1),(247,1),(259,1),(267,1),(280,1),(339,1),(351,1),(359,1)}
       220:{2,3,7}:{(176,1),(177,1),(181,1),(267,1)}
       221:{3,4,7}:{(177,1),(178,1),(182,1),(269,1),(446,1)}
       222:{2,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(250,1),(262,1),(269,1),(270,1),(281,1),(340,1)}
       223:{2,5,6}:{(179,1),(190,1),(251,1),(263,1),(270,1)}
       224:{1,3,6}:{(180,1),(181,1),(184,1),(264,1),(267,1),(272,1),(334,1)}
       225:{2,3,4,6}:{(181,1),(182,1),(185,1),(192,1),(253,1),(265,1),(268,1),(273,1),(274,1),(279,1),(335,1),(347,1),(357,1),(361,1),(404,1)}
       226:{3,5}:{(182,1),(183,1)}
       227:{2,4,5,6}:{(183,1),(194,1),(255,1),(270,1),(275,1),(276,1),(285,1),(344,1),(349,1),(357,1),(412,1),(419,1),(442,1),(452,1)}
       228:{2,3}:{(184,1),(277,1)}
       229:{1,3,4}:{(184,1),(185,1),(195,1),(277,1),(278,1)}
       230:{2,3,5}:{(185,1),(196,1),(278,1),(279,1),(418,1)}
       231:{1,3,7}:{(186,1),(187,1),(191,1),(280,1)}
       232:{2,4,7}:{(187,1),(188,1),(192,1),(280,1),(281,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(193,1),(269,1),(281,1),(282,1)}
       234:{1,4,6}:{(189,1),(190,1),(270,1),(282,1),(407,1)}
       235:{1,5,6,7}:{(190,1),(271,1),(283,1),(443,1)}
       236:{1,4,6}:{(191,1),(192,1),(195,1),(280,1),(284,1),(368,1)}
       237:{2,5}:{(192,1),(193,1),(284,1)}
       238:{1,3,5,6}:{(193,1),(194,1),(197,1),(275,1),(282,1),(285,1),(286,1)}
       239:{1,4,5,7}:{(194,1),(276,1),(283,1),(286,1),(409,1),(420,1),(443,1)}
       240:{1,4,5}:{(195,1),(196,1),(278,1),(284,1),(287,1)}
       241:{2,4,6}:{(196,1),(197,1),(279,1),(285,1),(287,1),(288,1),(366,1)}
       242:{1,3,4,7}:{(197,1),(286,1),(288,1),(358,1),(367,1),(420,1),(446,1)}
       243:{2,4}:{(198,1),(199,1),(290,1)}
       244:{1,2,5}:{(199,1),(205,1),(289,1),(291,1),(424,1)}
       245:{2,3,5}:{(199,1),(200,1),(206,1),(290,1),(291,1),(292,1),(300,1),(371,1),(424,1)}
       246:{1,3,4}:{(200,1),(218,1),(292,1),(313,1),(391,1)}
       247:{1,2,7}:{(201,1),(205,1),(294,1),(447,1)}
       248:{2,3,7}:{(201,1),(202,1),(206,1),(294,1),(295,1),(447,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(207,1),(221,1),(295,1),(296,1)}
       250:{1,4,5,7}:{(203,1),(204,1),(208,1),(222,1),(296,1),(297,1),(328,1)}
       251:{1,5,6}:{(204,1),(223,1),(297,1)}
       252:{1,3,6}:{(205,1),(206,1),(291,1),(294,1),(299,1)}
       253:{2,4,6}:{(206,1),(207,1),(292,1),(295,1),(299,1),(300,1),(378,1)}
       254:{1,3,5}:{(207,1),(208,1),(226,1),(300,1)}
       255:{1,4,5,6}:{(208,1),(227,1),(297,1),(301,1),(302,1),(331,1),(393,1),(431,1)}
       256:{2,6}:{(209,1),(212,1)}
       257:{3,6}:{(210,1),(213,1)}
       258:{4,6}:{(211,1),(214,1),(306,1)}
       259:{1,2,5,7}:{(212,1),(216,1),(219,1),(303,1),(307,1),(328,1),(377,1),(395,1)}
       260:{2,3,5,7}:{(212,1),(213,1),(217,1),(220,1),(304,1),(307,1),(308,1),(384,1)}
       261:{3,4,7}:{(213,1),(214,1),(218,1),(305,1),(308,1)}
       262:{4,5,7}:{(214,1),(215,1),(306,1),(310,1),(448,1),(454,1)}
       263:{3,5,6}:{(215,1),(223,1),(310,1),(319,1)}
       264:{1,3,5}:{(216,1),(217,1),(224,1),(312,1),(313,1)}
       265:{2,4}:{(217,1),(218,1),(313,1)}
       266:{3,4,5}:{(218,1),(226,1),(314,1),(315,1),(448,1)}
       267:{1,3,7}:{(219,1),(220,1),(224,1),(316,1)}
       268:{2,3,4,7}:{(220,1),(221,1),(225,1),(232,1),(295,1),(308,1),(317,1),(318,1),(327,1),(394,1),(426,1)}
       269:{3,5,7}:{(221,1),(222,1),(226,1),(319,1)}
       270:{2,4,6}:{(222,1),(223,1),(234,1),(297,1),(310,1),(319,1),(329,1),(378,1)}
       271:{2,5,6,7}:{(223,1),(235,1),(298,1),(311,1),(320,1),(432,1),(450,1)}
       272:{2,3,6}:{(224,1),(228,1),(312,1),(316,1),(321,1),(371,1),(436,1)}
       273:{1,3,4,6}:{(224,1),(225,1),(229,1),(236,1),(299,1),(313,1),(317,1),(321,1),(322,1),(326,1),(372,1),(383,1),(391,1),(393,1),(396,1),(425,1),(429,1),(436,1)}
       274:{2,3,5}:{(225,1),(226,1),(237,1),(300,1),(314,1),(322,1),(384,1)}
       275:{3,5,6}:{(226,1),(227,1),(315,1),(319,1),(324,1),(436,1)}
       276:{2,4,5,7}:{(227,1),(239,1),(302,1),(320,1),(324,1),(332,1),(381,1),(386,1),(394,1),(432,1),(437,1),(450,1),(454,1)}
       277:{2,4}:{(228,1),(229,1),(325,1)}
       278:{1,3,5}:{(229,1),(230,1),(240,1),(325,1),(326,1)}
       279:{2,3,6}:{(230,1),(241,1),(326,1),(327,1),(436,1)}
       280:{1,4,7}:{(231,1),(232,1),(236,1),(328,1)}
       281:{2,5,7}:{(232,1),(233,1),(237,1),(328,1),(329,1)}
       282:{1,3,6}:{(233,1),(234,1),(319,1),(329,1)}
       283:{1,4,6,7}:{(234,1),(235,1),(239,1),(320,1),(330,1),(428,1)}
       284:{1,5}:{(236,1),(237,1)}
       285:{2,5,6}:{(237,1),(238,1),(241,1),(329,1),(331,1),(332,1)}
       286:{1,3,5,7}:{(238,1),(239,1),(242,1),(324,1),(330,1),(332,1)}
       287:{1,4,6}:{(240,1),(241,1),(326,1),(331,1),(333,1)}
       288:{2,4,7}:{(241,1),(242,1),(327,1),(332,1),(333,1),(400,1)}
       289:{1,2,4}:{(243,1),(244,1),(334,1),(336,1),(402,1)}
       290:{2,3}:{(243,1),(334,1)}
       291:{1,3,5}:{(244,1),(245,1),(252,1),(334,1),(336,1),(343,1)}
       292:{2,4}:{(245,1),(246,1),(336,1)}
       293:{1,3,4,5}:{(246,1),(254,1),(266,1),(337,1),(338,1),(356,1),(403,1),(418,1)}
       294:{1,3,7}:{(247,1),(248,1),(252,1),(339,1)}
       295:{2,4,7}:{(248,1),(249,1),(253,1),(339,1),(340,1)}
       296:{1,3,5,7}:{(249,1),(250,1),(254,1),(269,1),(340,1),(341,1)}
       297:{1,4,6}:{(250,1),(251,1),(270,1),(341,1),(368,1)}
       298:{1,5,6,7}:{(251,1),(271,1),(342,1),(443,1)}
       299:{1,4,6}:{(252,1),(253,1),(336,1),(339,1),(343,1),(407,1)}
       300:{2,5}:{(253,1),(254,1),(343,1)}
       301:{1,3,5,6}:{(254,1),(255,1),(275,1),(338,1),(341,1),(344,1),(345,1)}
       302:{1,4,5,7}:{(255,1),(276,1),(342,1),(345,1),(370,1),(420,1),(443,1)}
       303:{1,2,6}:{(256,1),(259,1),(346,1),(368,1),(407,1),(421,1)}
       304:{2,3,6}:{(256,1),(257,1),(260,1),(346,1),(347,1)}
       305:{3,4,6}:{(257,1),(258,1),(261,1),(347,1),(348,1)}
       306:{4,5}:{(258,1),(348,1)}
       307:{1,3,5,7}:{(259,1),(260,1),(264,1),(267,1),(346,1),(350,1),(351,1),(411,1)}
       308:{2,4,7}:{(260,1),(261,1),(265,1),(347,1),(351,1)}
       309:{3,4,5,7}:{(261,1),(262,1),(266,1),(269,1),(348,1),(352,1),(353,1),(358,1),(413,1)}
       310:{4,6}:{(262,1),(263,1)}
       311:{3,5,6,7}:{(263,1),(271,1),(354,1),(362,1),(413,1),(453,1)}
       312:{2,3,5}:{(264,1),(272,1),(355,1),(363,1),(418,1)}
       313:{1,4}:{(264,1),(265,1),(355,1)}
       314:{2,4,5}:{(265,1),(266,1),(274,1),(356,1),(357,1)}
       315:{3,4,6}:{(266,1),(275,1),(357,1),(358,1),(452,1)}
       316:{2,3,7}:{(267,1),(272,1),(359,1),(446,1)}
       317:{1,3,4,7}:{(267,1),(268,1),(273,1),(280,1),(339,1),(351,1),(359,1),(360,1),(367,1),(414,1),(420,1),(440,1),(446,1)}
       318:{2,3,5,7}:{(268,1),(269,1),(274,1),(281,1),(340,1),(352,1),(360,1),(361,1)}
       319:{3,6}:{(269,1),(270,1)}
       320:{2,4,6,7}:{(270,1),(271,1),(276,1),(283,1),(342,1),(354,1),(362,1),(369,1),(408,1)}
       321:{2,4,6}:{(272,1),(273,1),(277,1),(355,1),(359,1),(363,1),(366,1),(402,1),(421,1),(439,1)}
       322:{1,3,5}:{(273,1),(274,1),(284,1),(343,1),(356,1),(363,1),(411,1),(418,1),(441,1)}
       323:{2,3,5,6}:{(274,1),(275,1),(279,1),(285,1),(344,1),(357,1),(361,1),(364,1),(365,1),(404,1),(412,1)}
       324:{3,5,7}:{(275,1),(276,1),(358,1),(362,1),(446,1)}
       325:{2,5}:{(277,1),(278,1),(366,1)}
       326:{1,3,6}:{(278,1),(279,1),(287,1),(366,1),(367,1)}
       327:{2,3,7}:{(279,1),(288,1),(367,1),(446,1)}
       328:{1,5,7}:{(280,1),(281,1),(284,1),(368,1)}
       329:{2,6}:{(281,1),(282,1),(368,1)}
       330:{1,3,6,7}:{(282,1),(283,1),(286,1),(362,1),(369,1)}
       331:{1,5,6}:{(284,1),(285,1),(287,1),(368,1),(370,1)}
       332:{2,5,7}:{(285,1),(286,1),(288,1),(369,1),(370,1)}
       333:{1,4,7}:{(287,1),(288,1),(367,1),(370,1)}
       334:{1,3}:{(289,1),(290,1),(371,1)}
       335:{2,3,4}:{(290,1),(292,1),(372,1),(373,1),(391,1)}
       336:{1,4}:{(291,1),(292,1)}
       337:{2,4,5}:{(292,1),(293,1),(300,1),(373,1),(374,1),(375,1),(424,1)}
       338:{1,3,4,6}:{(293,1),(301,1),(315,1),(375,1),(376,1),(393,1),(425,1),(436,1)}
       339:{1,4,7}:{(294,1),(295,1),(299,1),(377,1)}
       340:{2,5,7}:{(295,1),(296,1),(300,1),(377,1),(378,1)}
       341:{1,3,6}:{(296,1),(297,1),(319,1),(378,1)}
       342:{1,4,6,7}:{(297,1),(298,1),(302,1),(320,1),(379,1),(401,1)}
       343:{1,5}:{(299,1),(300,1)}
       344:{2,5,6}:{(300,1),(301,1),(375,1),(378,1),(380,1),(381,1)}
       345:{1,3,5,7}:{(301,1),(302,1),(324,1),(376,1),(379,1),(381,1)}
       346:{1,3,6}:{(303,1),(304,1),(307,1),(382,1),(383,1)}
       347:{2,4,6}:{(304,1),(305,1),(308,1),(383,1),(384,1)}
       348:{3,5}:{(305,1),(306,1),(384,1)}
       349:{4,5,6}:{(306,1),(310,1),(385,1),(386,1)}
       350:{2,3,5,7}:{(307,1),(312,1),(316,1),(382,1),(387,1),(395,1),(430,1),(433,1)}
       351:{1,4,7}:{(307,1),(308,1),(313,1),(383,1),(387,1)}
       352:{2,4,5,7}:{(308,1),(309,1),(314,1),(318,1),(384,1),(388,1),(389,1),(394,1),(432,1)}
       353:{3,4,6}:{(309,1),(310,1),(319,1),(385,1),(389,1)}
       354:{4,6,7}:{(310,1),(311,1),(386,1),(454,1)}
       355:{2,4}:{(312,1),(313,1),(391,1)}
       356:{1,4,5}:{(313,1),(314,1),(322,1),(392,1),(393,1),(448,1)}
       357:{2,4,6}:{(314,1),(315,1),(323,1),(393,1),(394,1)}
       358:{3,4,7}:{(315,1),(324,1),(394,1),(454,1)}
       359:{2,4,7}:{(316,1),(317,1),(321,1),(395,1),(400,1),(447,1)}
       360:{1,3,5,7}:{(317,1),(318,1),(322,1),(328,1),(377,1),(388,1),(395,1),(396,1),(433,1)}
       361:{2,3,6}:{(318,1),(319,1),(329,1),(378,1),(389,1),(396,1)}
       362:{3,6,7}:{(319,1),(320,1),(324,1)}
       363:{2,5}:{(321,1),(322,1)}
       364:{1,3,5,6}:{(322,1),(323,1),(326,1),(331,1),(380,1),(393,1),(396,1),(398,1),(399,1),(425,1),(431,1),(436,1),(449,1)}
       365:{2,3,5,7}:{(323,1),(324,1),(327,1),(332,1),(381,1),(394,1),(397,1),(399,1),(426,1),(432,1)}
       366:{2,6}:{(325,1),(326,1),(400,1)}
       367:{1,3,7}:{(326,1),(327,1),(333,1),(400,1)}
       368:{1,6}:{(328,1),(329,1)}
       369:{2,6,7}:{(329,1),(330,1),(332,1),(401,1)}
       370:{1,5,7}:{(331,1),(332,1),(333,1),(401,1)}
       371:{2,3}:{(334,1),(402,1)}
       372:{1,3,4}:{(334,1),(335,1),(336,1),(402,1),(403,1)}
       373:{2,3,5}:{(335,1),(337,1),(403,1),(404,1),(418,1)}
       374:{1,4,5}:{(336,1),(337,1),(343,1),(403,1),(405,1)}
       375:{2,4,6}:{(337,1),(338,1),(344,1),(404,1),(405,1),(406,1),(439,1)}
       376:{1,3,4,7}:{(338,1),(345,1),(358,1),(406,1),(420,1),(440,1),(446,1)}
       377:{1,5,7}:{(339,1),(340,1),(343,1),(407,1)}
       378:{2,6}:{(340,1),(341,1),(407,1)}
       379:{1,3,6,7}:{(341,1),(342,1),(345,1),(362,1),(408,1)}
       380:{1,5,6}:{(343,1),(344,1),(405,1),(407,1),(409,1)}
       381:{2,5,7}:{(344,1),(345,1),(406,1),(408,1),(409,1)}
       382:{2,3,6}:{(346,1),(350,1),(410,1),(421,1),(444,1)}
       383:{1,4,6}:{(346,1),(347,1),(351,1),(410,1),(411,1)}
       384:{2,5}:{(347,1),(348,1),(411,1)}
       385:{3,5,6}:{(348,1),(349,1),(353,1),(412,1),(413,1)}
       386:{4,5,7}:{(349,1),(354,1),(413,1)}
       387:{2,4,7}:{(350,1),(351,1),(355,1),(410,1),(414,1)}
       388:{1,4,5,7}:{(351,1),(352,1),(356,1),(360,1),(411,1),(415,1),(416,1),(420,1),(443,1)}
       389:{2,4,6}:{(352,1),(353,1),(361,1),(412,1),(416,1)}
       390:{3,4,6,7}:{(353,1),(354,1),(358,1),(362,1),(413,1),(417,1)}
       391:{3,4}:{(355,1),(418,1)}
       392:{2,4,5}:{(355,1),(356,1),(363,1),(418,1),(419,1)}
       393:{1,4,6}:{(356,1),(357,1),(364,1),(419,1),(420,1),(452,1)}
       394:{2,4,7}:{(357,1),(358,1),(365,1),(420,1)}
       395:{2,5,7}:{(359,1),(360,1),(363,1),(421,1)}
       396:{1,3,6}:{(360,1),(361,1),(368,1),(407,1),(416,1),(421,1),(444,1)}
       397:{2,3,6,7}:{(361,1),(362,1),(365,1),(369,1),(408,1),(417,1),(422,1)}
       398:{2,5,6}:{(363,1),(364,1),(366,1),(419,1),(421,1),(423,1),(439,1)}
       399:{1,3,5,7}:{(364,1),(365,1),(367,1),(370,1),(409,1),(420,1),(422,1),(423,1),(440,1),(443,1),(446,1),(453,1)}
       400:{2,7}:{(366,1),(367,1)}
       401:{1,6,7}:{(368,1),(369,1),(370,1)}
       402:{2,4}:{(371,1),(372,1),(424,1)}
       403:{1,3,5}:{(372,1),(373,1),(374,1),(424,1),(425,1)}
       404:{2,3,6}:{(373,1),(375,1),(425,1),(426,1),(436,1)}
       405:{1,4,6}:{(374,1),(375,1),(380,1),(425,1),(427,1)}
       406:{2,4,7}:{(375,1),(376,1),(381,1),(426,1),(427,1),(447,1)}
       407:{1,6}:{(377,1),(378,1)}
       408:{2,6,7}:{(378,1),(379,1),(381,1),(428,1)}
       409:{1,5,7}:{(380,1),(381,1),(427,1),(428,1)}
       410:{2,4,6}:{(382,1),(383,1),(387,1),(429,1),(430,1)}
       411:{1,5}:{(383,1),(384,1),(430,1)}
       412:{2,5,6}:{(384,1),(385,1),(389,1),(431,1),(432,1)}
       413:{3,5,7}:{(385,1),(386,1),(390,1),(432,1)}
       414:{3,4,7}:{(387,1),(391,1),(429,1),(433,1),(454,1)}
       415:{2,4,5,7}:{(387,1),(388,1),(392,1),(395,1),(430,1),(433,1),(434,1),(437,1),(448,1),(450,1),(454,1)}
       416:{1,4,6}:{(388,1),(389,1),(396,1),(431,1),(434,1)}
       417:{2,4,6,7}:{(389,1),(390,1),(394,1),(397,1),(432,1),(435,1)}
       418:{3,5}:{(391,1),(392,1),(436,1)}
       419:{2,4,6}:{(392,1),(393,1),(398,1),(436,1),(437,1)}
       420:{1,4,7}:{(393,1),(394,1),(399,1),(437,1),(454,1)}
       421:{2,6}:{(395,1),(396,1)}
       422:{1,3,6,7}:{(396,1),(397,1),(399,1),(401,1),(428,1),(435,1),(438,1),(451,1)}
       423:{2,5,7}:{(398,1),(399,1),(400,1),(437,1),(438,1),(447,1)}
       424:{2,5}:{(402,1),(403,1),(439,1)}
       425:{1,3,6}:{(403,1),(404,1),(405,1),(439,1),(440,1)}
       426:{2,3,7}:{(404,1),(406,1),(440,1),(446,1)}
       427:{1,4,7}:{(405,1),(406,1),(409,1),(440,1)}
       428:{1,6,7}:{(407,1),(408,1),(409,1)}
       429:{3,4,6}:{(410,1),(414,1),(441,1),(444,1),(452,1)}
       430:{2,5}:{(410,1),(411,1),(441,1)}
       431:{1,5,6}:{(411,1),(412,1),(416,1),(442,1),(443,1)}
       432:{2,5,7}:{(412,1),(413,1),(417,1),(443,1)}
       433:{3,5,7}:{(414,1),(415,1),(418,1),(441,1),(444,1),(446,1)}
       434:{2,4,6}:{(415,1),(416,1),(421,1),(442,1),(444,1),(452,1)}
       435:{1,4,6,7}:{(416,1),(417,1),(420,1),(422,1),(443,1),(445,1)}
       436:{3,6}:{(418,1),(419,1),(446,1)}
       437:{2,4,7}:{(419,1),(420,1),(423,1),(446,1)}
       438:{2,6,7}:{(421,1),(422,1),(423,1)}
       439:{2,6}:{(424,1),(425,1),(447,1)}
       440:{1,3,7}:{(425,1),(426,1),(427,1),(447,1)}
       441:{3,5}:{(429,1),(430,1),(448,1)}
       442:{2,5,6}:{(430,1),(431,1),(434,1),(449,1),(450,1)}
       443:{1,5,7}:{(431,1),(432,1),(435,1),(450,1)}
       444:{3,6}:{(433,1),(434,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(438,1),(450,1),(451,1),(454,1)}
       446:{3,7}:{(436,1),(437,1)}
       447:{2,7}:{(439,1),(440,1)}
       448:{4,5}:{(441,1),(452,1)}
       449:{3,5,6}:{(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,5,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{3,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{4,6}:{(448,1),(449,1),(454,1)}
       453:{3,5,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{4,7}:{(452,1),(453,1)}

 669 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 670 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 671 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 672 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(14,1),(37,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(50,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        13:{1,2,7}:{(5,1),(24,1),(53,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(28,1),(30,1),(31,1),(60,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(12,1),(28,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,4,6}:{(12,1),(14,1),(33,1),(37,1),(38,1),(71,1)}
        24:{1,3,7}:{(12,1),(13,1),(34,1),(38,1),(101,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(37,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        29:{1,2,7}:{(17,1),(45,1),(96,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,4,6}:{(20,1),(21,1),(23,1),(44,1),(48,1),(50,1),(51,1),(83,1)}
        34:{2,3,7}:{(20,1),(24,1),(45,1),(51,1),(53,1),(81,1),(96,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(50,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,5}:{(23,1),(50,1)}
        38:{1,4,7}:{(23,1),(24,1),(51,1),(55,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(54,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,4,6}:{(28,1),(30,1),(33,1),(60,1),(61,1),(89,1)}
        45:{1,3,7}:{(28,1),(29,1),(34,1),(61,1),(63,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(60,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(33,1),(64,1),(65,1),(66,1),(90,1),(93,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,5}:{(33,1),(37,1),(60,1),(64,1)}
        51:{2,4,7}:{(33,1),(34,1),(38,1),(61,1),(65,1),(68,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(67,1),(69,1),(86,1),(90,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,6}:{(37,1),(39,1),(67,1),(70,1),(71,1)}
        55:{1,5,7}:{(37,1),(38,1),(68,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(70,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,5}:{(44,1),(50,1)}
        61:{1,4,7}:{(44,1),(45,1),(51,1),(76,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(75,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,5}:{(48,1),(50,1),(78,1)}
        65:{3,4,7}:{(48,1),(51,1),(80,1),(81,1),(98,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,6}:{(50,1),(52,1),(54,1),(75,1),(79,1),(82,1),(83,1)}
        68:{2,5,7}:{(50,1),(51,1),(55,1),(76,1),(80,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        70:{1,5,7}:{(54,1),(56,1),(82,1),(84,1)}
        71:{1,6}:{(55,1),(83,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,6}:{(60,1),(62,1),(67,1),(88,1),(89,1)}
        76:{1,5,7}:{(60,1),(61,1),(68,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(88,1)}
        78:{4,5}:{(64,1),(90,1)}
        79:{3,5,6}:{(64,1),(66,1),(67,1),(90,1),(92,1),(93,1),(103,1)}
        80:{3,5,7}:{(64,1),(65,1),(68,1),(91,1),(93,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,5,7}:{(67,1),(69,1),(70,1),(88,1),(92,1),(94,1)}
        83:{2,6}:{(68,1),(71,1),(89,1),(93,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,5,7}:{(75,1),(77,1),(82,1),(97,1)}
        89:{1,6}:{(76,1),(83,1)}
        90:{4,6}:{(78,1),(79,1),(98,1)}
        91:{4,5,7}:{(78,1),(80,1),(98,1),(99,1),(104,1)}
        92:{3,5,7}:{(79,1),(81,1),(82,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(80,1),(83,1),(99,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,7}:{(90,1),(92,1)}
        99:{4,6}:{(91,1),(93,1),(103,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 673 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 674 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 675 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 676 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(21,1),(25,1),(63,1),(141,1),(144,1),(146,1),(149,1),(167,1),(220,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(11,1),(31,1),(39,1),(43,1),(51,1),(92,1),(100,1),(104,1),(127,1),(180,1),(189,1),(190,1),(196,1),(212,1),(262,1)}
         2:{2,3,5}:{(0,1),(6,1),(9,1),(184,1),(191,1),(209,1),(259,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(10,1),(35,1),(46,1),(101,1),(187,1),(197,1),(213,1),(263,1)}
         4:{1,2,4,6}:{(5,1),(11,1),(12,1),(13,1),(51,1),(56,1),(127,1),(262,1),(265,1),(266,1)}
         5:{2,4,6}:{(1,1),(15,1),(16,1),(17,1),(63,1),(69,1),(236,1),(244,1)}
         6:{1,3,5}:{(1,1),(2,1),(16,1),(19,1),(67,1),(171,1),(224,1),(237,1),(251,1),(294,1)}
         7:{1,3,4,7}:{(1,1),(3,1),(17,1),(20,1),(27,1),(58,1),(72,1),(85,1),(134,1),(145,1),(150,1),(245,1),(256,1),(299,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(21,1),(22,1),(25,1),(76,1),(81,1),(149,1),(155,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1),(23,1),(63,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(20,1),(24,1),(25,1),(230,1),(252,1),(295,1)}
        11:{1,3,6}:{(4,1),(15,1),(26,1),(27,1),(300,1)}
        12:{1,2,5}:{(4,1),(16,1),(26,1),(171,1),(294,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(27,1),(30,1),(85,1),(299,1),(301,1)}
        14:{1,2,4,6}:{(5,1),(31,1),(32,1),(33,1),(92,1),(97,1),(180,1),(212,1),(215,1),(216,1)}
        15:{2,3,6}:{(5,1),(11,1),(31,1),(34,1),(35,1),(104,1),(277,1)}
        16:{2,5}:{(5,1),(6,1)}
        17:{2,4,7}:{(5,1),(7,1),(35,1),(38,1),(286,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(36,1),(39,1),(40,1),(43,1),(104,1),(116,1),(196,1),(201,1),(202,1)}
        19:{1,4,5}:{(6,1),(9,1),(37,1),(39,1),(51,1),(92,1),(278,1)}
        20:{1,3,5,7}:{(6,1),(7,1),(10,1),(38,1),(42,1),(43,1),(108,1),(290,1),(324,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(45,1),(46,1)}
        22:{2,3,5,7}:{(8,1),(40,1),(46,1),(47,1),(117,1),(120,1),(197,1),(203,1)}
        23:{3,4,5}:{(9,1),(45,1),(100,1),(184,1),(391,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(42,1),(46,1),(48,1),(49,1),(101,1),(120,1),(191,1)}
        25:{2,3,6}:{(10,1),(43,1),(49,1),(272,1),(291,1),(325,1)}
        26:{1,3,5}:{(11,1),(12,1),(34,1),(51,1)}
        27:{1,3,7}:{(11,1),(13,1),(35,1)}
        28:{1,2,5,6}:{(12,1),(36,1),(50,1),(53,1),(54,1),(56,1),(202,1),(209,1),(266,1),(282,1),(291,1),(323,1),(365,1)}
        29:{1,2,4,5}:{(12,1),(37,1),(51,1),(53,1),(55,1),(115,1),(122,1),(126,1),(200,1),(209,1),(265,1),(323,1),(328,1),(363,1)}
        30:{1,2,5,7}:{(12,1),(13,1),(38,1),(52,1),(56,1),(324,1)}
        31:{1,3,6}:{(14,1),(15,1),(57,1),(58,1),(257,1)}
        32:{1,2,5}:{(14,1),(16,1),(57,1),(224,1),(251,1)}
        33:{1,2,4,7}:{(14,1),(17,1),(58,1),(61,1),(134,1),(256,1),(258,1)}
        34:{2,3,5}:{(15,1),(16,1),(26,1),(57,1),(63,1),(67,1)}
        35:{2,3,7}:{(15,1),(17,1),(27,1),(58,1),(150,1)}
        36:{2,5,6}:{(16,1),(18,1),(65,1),(66,1),(69,1),(244,1)}
        37:{2,4,5}:{(16,1),(19,1),(63,1),(65,1),(67,1)}
        38:{2,5,7}:{(16,1),(17,1),(20,1),(69,1)}
        39:{1,4,6}:{(18,1),(19,1),(21,1),(65,1),(72,1),(247,1)}
        40:{1,3,5,7}:{(18,1),(22,1),(66,1),(72,1),(73,1),(150,1),(160,1),(245,1),(246,1),(248,1)}
        41:{1,3,4,5}:{(19,1),(23,1),(67,1),(71,1),(74,1),(84,1),(133,1),(152,1),(165,1),(218,1),(228,1),(302,1),(350,1)}
        42:{1,4,5,7}:{(19,1),(20,1),(24,1),(68,1),(72,1),(75,1),(85,1),(134,1),(160,1),(171,1),(224,1)}
        43:{1,3,6}:{(20,1),(25,1),(69,1),(75,1),(153,1),(321,1),(348,1)}
        44:{2,4,5,6}:{(21,1),(70,1),(76,1),(77,1),(81,1),(140,1),(155,1),(164,1),(231,1),(312,1),(379,1),(390,1)}
        45:{3,4,6}:{(21,1),(23,1),(76,1),(78,1),(390,1)}
        46:{2,4,7}:{(21,1),(22,1),(72,1),(78,1)}
        47:{2,3,6,7}:{(22,1),(25,1),(73,1),(79,1),(161,1),(249,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(78,1),(80,1),(145,1),(163,1),(230,1),(237,1),(311,1)}
        49:{2,4,6}:{(24,1),(25,1),(75,1),(80,1),(81,1)}
        50:{1,3,5,6}:{(26,1),(28,1),(62,1),(82,1),(83,1),(86,1),(87,1),(165,1),(171,1),(225,1),(253,1),(254,1),(294,1),(346,1),(348,1),(376,1),(388,1)}
        51:{1,4}:{(26,1),(63,1)}
        52:{1,3,5,7}:{(26,1),(27,1),(30,1),(64,1),(85,1),(86,1),(171,1)}
        53:{1,2,4,6}:{(28,1),(29,1),(65,1),(82,1),(87,1),(88,1),(158,1),(167,1),(244,1),(312,1)}
        54:{1,2,5,7}:{(28,1),(66,1),(83,1),(88,1),(89,1),(248,1),(252,1),(301,1),(316,1)}
        55:{1,3,5}:{(29,1),(67,1),(84,1),(87,1),(90,1),(300,1),(350,1)}
        56:{1,2,6}:{(30,1),(69,1),(86,1),(348,1)}
        57:{1,3,5}:{(31,1),(32,1),(34,1),(92,1)}
        58:{1,3,7}:{(31,1),(33,1),(35,1)}
        59:{1,2,5,6}:{(32,1),(36,1),(91,1),(94,1),(95,1),(97,1),(202,1),(216,1),(259,1),(282,1),(289,1),(325,1),(345,1)}
        60:{1,2,4,5}:{(32,1),(37,1),(92,1),(94,1),(96,1),(115,1),(175,1),(179,1),(200,1),(215,1),(259,1),(289,1),(328,1),(343,1)}
        61:{1,2,5,7}:{(32,1),(33,1),(38,1),(93,1),(97,1),(290,1)}
        62:{2,3,5,6}:{(34,1),(36,1),(50,1),(91,1),(98,1),(99,1),(102,1),(104,1),(128,1),(181,1),(184,1),(191,1),(201,1),(209,1),(259,1),(272,1),(273,1),(282,1),(291,1),(325,1),(332,1),(337,1),(371,1),(385,1),(386,1)}
        63:{2,4}:{(34,1),(51,1),(92,1),(100,1)}
        64:{2,3,5,7}:{(34,1),(35,1),(38,1),(52,1),(93,1),(101,1),(102,1),(108,1),(191,1)}
        65:{2,4,6}:{(36,1),(37,1),(39,1),(104,1),(105,1)}
        66:{2,5,7}:{(36,1),(40,1),(105,1),(106,1),(286,1)}
        67:{3,5}:{(37,1),(100,1),(104,1)}
        68:{2,4,5,7}:{(37,1),(38,1),(42,1),(101,1),(105,1),(108,1),(109,1),(191,1),(199,1),(278,1),(287,1)}
        69:{2,6}:{(38,1),(43,1)}
        70:{1,4,5,6}:{(39,1),(44,1),(103,1),(110,1),(111,1),(116,1),(122,1),(175,1),(202,1),(211,1),(261,1),(279,1),(369,1)}
        71:{1,3,4,6}:{(39,1),(41,1),(45,1),(104,1),(110,1),(112,1),(113,1),(192,1),(196,1),(279,1),(337,1)}
        72:{1,4,7}:{(39,1),(40,1),(46,1),(105,1),(287,1)}
        73:{1,3,6,7}:{(40,1),(43,1),(47,1),(106,1),(114,1),(198,1),(288,1)}
        74:{2,4,5}:{(41,1),(107,1),(112,1),(115,1),(126,1),(179,1),(200,1),(209,1),(259,1)}
        75:{1,4,6}:{(42,1),(43,1),(49,1),(109,1),(116,1)}
        76:{3,5,6}:{(44,1),(45,1),(117,1),(184,1),(272,1),(337,1)}
        77:{2,4,5,7}:{(44,1),(46,1),(111,1),(117,1),(118,1),(120,1),(203,1),(208,1),(338,1),(373,1),(387,1)}
        78:{3,4,7}:{(45,1),(46,1),(117,1),(387,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(49,1),(114,1),(119,1),(120,1)}
        80:{3,4,6}:{(48,1),(49,1),(121,1),(272,1),(335,1)}
        81:{2,5,6}:{(49,1),(116,1),(120,1),(121,1),(191,1)}
        82:{1,4,6}:{(50,1),(51,1),(98,1),(122,1),(124,1),(363,1)}
        83:{1,3,5,7}:{(50,1),(54,1),(99,1),(124,1),(125,1),(129,1),(214,1),(267,1),(324,1)}
        84:{1,3,4}:{(51,1),(55,1),(100,1),(126,1),(363,1),(366,1)}
        85:{1,4,7}:{(51,1),(52,1),(101,1),(127,1)}
        86:{1,3,6}:{(52,1),(56,1),(102,1),(127,1)}
        87:{1,3,6}:{(53,1),(55,1),(104,1),(128,1),(129,1),(337,1)}
        88:{1,2,4,7}:{(53,1),(54,1),(105,1),(124,1),(129,1),(206,1),(213,1),(286,1),(338,1)}
        89:{1,2,6,7}:{(54,1),(56,1),(106,1),(125,1),(288,1),(291,1),(342,1),(365,1)}
        90:{2,3,5}:{(55,1),(126,1),(128,1),(130,1),(200,1),(209,1),(277,1)}
        91:{1,3,5,6}:{(57,1),(59,1),(62,1),(131,1),(132,1),(135,1),(136,1),(172,1),(218,1),(224,1),(251,1),(296,1),(297,1),(319,1),(321,1),(362,1),(382,1)}
        92:{1,4}:{(57,1),(63,1)}
        93:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(134,1),(135,1),(224,1)}
        94:{1,2,4,6}:{(59,1),(60,1),(65,1),(131,1),(136,1),(137,1),(158,1),(220,1),(244,1),(312,1)}
        95:{1,2,5,7}:{(59,1),(66,1),(132,1),(137,1),(138,1),(248,1),(258,1),(295,1),(316,1)}
        96:{1,3,5}:{(60,1),(67,1),(133,1),(136,1),(139,1),(257,1),(350,1)}
        97:{1,2,6}:{(61,1),(69,1),(135,1),(321,1)}
        98:{2,4,6}:{(62,1),(63,1),(82,1),(131,1),(140,1),(141,1),(142,1),(247,1),(355,1),(390,1)}
        99:{2,3,5,7}:{(62,1),(66,1),(83,1),(132,1),(142,1),(143,1),(150,1),(173,1),(226,1),(230,1),(235,1),(246,1),(252,1),(295,1),(316,1),(358,1),(381,1)}
       100:{3,4}:{(63,1),(67,1)}
       101:{2,4,7}:{(63,1),(64,1),(85,1),(134,1),(145,1),(146,1)}
       102:{2,3,6}:{(64,1),(69,1),(86,1),(135,1),(146,1),(153,1)}
       103:{2,4,5,6}:{(65,1),(70,1),(140,1),(147,1),(148,1),(154,1),(155,1),(231,1),(238,1),(247,1),(353,1),(354,1)}
       104:{3,6}:{(65,1),(67,1),(150,1)}
       105:{2,4,7}:{(65,1),(66,1),(72,1),(150,1)}
       106:{2,6,7}:{(66,1),(69,1),(73,1)}
       107:{2,3,5}:{(67,1),(74,1),(144,1),(149,1),(152,1),(350,1)}
       108:{3,5,7}:{(67,1),(68,1),(145,1),(150,1),(153,1),(237,1)}
       109:{2,4,6}:{(68,1),(69,1),(75,1),(153,1),(154,1),(247,1)}
       110:{1,3,5,6}:{(70,1),(71,1),(76,1),(147,1),(155,1),(156,1),(165,1),(218,1),(253,1),(296,1)}
       111:{1,4,5,7}:{(70,1),(72,1),(77,1),(148,1),(156,1),(157,1),(160,1),(248,1),(313,1),(360,1)}
       112:{2,4,6}:{(71,1),(74,1),(149,1),(155,1),(158,1),(159,1),(244,1)}
       113:{1,3,4,7}:{(71,1),(72,1),(78,1),(150,1),(156,1),(159,1),(239,1),(245,1),(313,1),(358,1)}
       114:{1,4,6,7}:{(72,1),(73,1),(75,1),(79,1),(151,1),(160,1)}
       115:{1,4,5}:{(74,1),(152,1),(158,1),(170,1),(223,1),(251,1),(294,1)}
       116:{1,5,6}:{(75,1),(81,1),(154,1),(160,1),(171,1),(224,1)}
       117:{3,5,7}:{(76,1),(77,1),(78,1),(161,1),(358,1)}
       118:{2,4,6,7}:{(77,1),(157,1),(161,1),(162,1),(231,1),(249,1),(250,1)}
       119:{3,4,6,7}:{(78,1),(79,1),(80,1),(161,1),(163,1),(250,1)}
       120:{2,5,7}:{(79,1),(81,1),(160,1),(163,1)}
       121:{3,5,6}:{(80,1),(81,1),(163,1),(164,1),(237,1)}
       122:{1,4,5}:{(82,1),(140,1),(165,1),(171,1),(294,1),(388,1)}
       123:{1,3,4,6}:{(82,1),(84,1),(87,1),(141,1),(165,1),(167,1),(168,1),(253,1)}
       124:{1,4,7}:{(82,1),(83,1),(142,1)}
       125:{1,3,6,7}:{(83,1),(86,1),(89,1),(143,1),(169,1),(253,1),(348,1),(376,1)}
       126:{2,4}:{(84,1),(90,1),(170,1)}
       127:{1,4,6}:{(85,1),(86,1),(146,1),(171,1)}
       128:{2,3,6}:{(87,1),(90,1),(167,1),(172,1),(173,1),(244,1)}
       129:{1,3,7}:{(87,1),(88,1),(150,1),(173,1),(358,1)}
       130:{1,3,5}:{(90,1),(170,1),(172,1),(174,1),(251,1),(257,1)}
       131:{1,4,6}:{(91,1),(92,1),(98,1),(175,1),(177,1),(343,1)}
       132:{1,3,5,7}:{(91,1),(95,1),(99,1),(177,1),(178,1),(182,1),(217,1),(264,1),(290,1)}
       133:{1,3,4}:{(92,1),(96,1),(100,1),(179,1),(343,1),(366,1)}
       134:{1,4,7}:{(92,1),(93,1),(101,1),(180,1)}
       135:{1,3,6}:{(93,1),(97,1),(102,1),(180,1)}
       136:{1,3,6}:{(94,1),(96,1),(104,1),(181,1),(182,1),(337,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(105,1),(177,1),(182,1),(206,1),(263,1),(286,1),(338,1)}
       138:{1,2,6,7}:{(95,1),(97,1),(106,1),(178,1),(288,1),(325,1),(342,1),(345,1)}
       139:{2,3,5}:{(96,1),(179,1),(181,1),(183,1),(200,1),(259,1),(277,1)}
       140:{2,4,5}:{(98,1),(122,1),(175,1),(184,1),(191,1),(209,1),(259,1),(278,1),(386,1),(391,1)}
       141:{3,4,6}:{(98,1),(100,1),(104,1),(184,1),(187,1),(272,1),(337,1),(366,1)}
       142:{2,4,7}:{(98,1),(99,1),(124,1),(177,1),(187,1),(287,1),(387,1)}
       143:{2,3,6,7}:{(99,1),(102,1),(106,1),(125,1),(178,1),(188,1),(198,1),(272,1),(291,1),(325,1),(342,1),(371,1),(372,1)}
       144:{2,3,4}:{(100,1),(107,1),(126,1),(179,1),(189,1),(277,1),(366,1)}
       145:{3,4,7}:{(100,1),(101,1),(108,1),(190,1),(287,1)}
       146:{2,4,6}:{(101,1),(102,1),(127,1),(180,1),(190,1),(191,1)}
       147:{3,5,6}:{(103,1),(104,1),(184,1),(192,1),(194,1),(272,1)}
       148:{2,4,5,7}:{(103,1),(105,1),(111,1),(194,1),(195,1),(199,1),(203,1),(280,1),(287,1),(340,1),(341,1)}
       149:{2,3,6}:{(104,1),(107,1),(112,1),(196,1),(197,1),(337,1)}
       150:{3,7}:{(104,1),(105,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(198,1),(199,1),(287,1)}
       152:{1,3,5}:{(107,1),(115,1),(189,1),(196,1),(200,1)}
       153:{3,6}:{(108,1),(109,1)}
       154:{2,5,6}:{(109,1),(116,1),(191,1),(199,1),(201,1)}
       155:{2,5,6}:{(110,1),(112,1),(202,1),(203,1),(209,1),(259,1),(291,1),(325,1)}
       156:{1,3,5,7}:{(110,1),(111,1),(113,1),(117,1),(194,1),(203,1),(204,1)}
       157:{1,4,6,7}:{(111,1),(118,1),(195,1),(204,1),(205,1),(211,1),(261,1),(288,1)}
       158:{1,4,6}:{(112,1),(115,1),(196,1),(202,1),(206,1)}
       159:{2,4,7}:{(112,1),(113,1),(197,1),(203,1),(206,1),(286,1)}
       160:{1,5,7}:{(114,1),(116,1),(120,1),(199,1)}
       161:{3,6,7}:{(117,1),(118,1),(272,1)}
       162:{2,5,6,7}:{(118,1),(120,1),(205,1),(207,1),(273,1),(373,1)}
       163:{3,5,7}:{(119,1),(120,1),(121,1),(208,1)}
       164:{4,5,6}:{(121,1),(208,1),(278,1),(335,1)}
       165:{1,3,5}:{(122,1),(123,1),(184,1),(209,1)}
       166:{1,4,5,7}:{(122,1),(124,1),(185,1),(210,1),(211,1),(214,1),(324,1)}
       167:{2,4,6}:{(123,1),(126,1),(128,1),(209,1),(212,1),(213,1),(291,1)}
       168:{1,3,4,7}:{(123,1),(124,1),(129,1),(187,1),(210,1),(213,1)}
       169:{1,4,6,7}:{(124,1),(125,1),(127,1),(188,1),(211,1),(214,1),(383,1)}
       170:{1,4}:{(126,1),(130,1)}
       171:{1,5}:{(127,1),(191,1)}
       172:{1,3,6}:{(128,1),(130,1),(212,1),(216,1),(217,1)}
       173:{2,3,7}:{(128,1),(129,1),(213,1),(217,1),(286,1)}
       174:{1,2,5}:{(130,1),(200,1),(215,1),(216,1)}
       175:{1,4,5}:{(131,1),(140,1),(218,1),(224,1),(251,1),(382,1)}
       176:{1,3,4,6}:{(131,1),(133,1),(136,1),(141,1),(218,1),(220,1),(221,1),(296,1)}
       177:{1,4,7}:{(131,1),(132,1),(142,1)}
       178:{1,3,6,7}:{(132,1),(135,1),(138,1),(143,1),(222,1),(296,1),(321,1),(362,1)}
       179:{2,4}:{(133,1),(139,1),(223,1)}
       180:{1,4,6}:{(134,1),(135,1),(146,1),(224,1)}
       181:{2,3,6}:{(136,1),(139,1),(220,1),(225,1),(226,1),(244,1)}
       182:{1,3,7}:{(136,1),(137,1),(150,1),(226,1),(358,1)}
       183:{1,3,5}:{(139,1),(223,1),(225,1),(227,1),(294,1),(300,1)}
       184:{3,5}:{(140,1),(141,1)}
       185:{2,4,5,7}:{(140,1),(142,1),(166,1),(219,1),(230,1),(231,1),(235,1),(252,1),(295,1),(311,1)}
       186:{2,3,4,6}:{(141,1),(144,1),(149,1),(167,1),(220,1),(229,1),(232,1),(233,1),(238,1),(307,1),(309,1),(355,1),(380,1)}
       187:{3,4,7}:{(141,1),(142,1),(150,1),(230,1),(358,1)}
       188:{2,4,6,7}:{(142,1),(143,1),(146,1),(169,1),(222,1),(231,1),(234,1),(235,1),(380,1)}
       189:{1,3,4}:{(144,1),(152,1),(170,1),(223,1),(236,1),(257,1),(300,1)}
       190:{3,4,6}:{(145,1),(146,1),(153,1),(237,1),(247,1)}
       191:{2,5}:{(146,1),(171,1),(224,1),(237,1)}
       192:{3,4,6}:{(147,1),(228,1),(238,1),(239,1),(247,1)}
       193:{2,3,5,6}:{(147,1),(149,1),(155,1),(229,1),(238,1),(240,1),(241,1),(307,1),(353,1)}
       194:{3,5,7}:{(147,1),(148,1),(150,1),(239,1),(242,1)}
       195:{2,4,6,7}:{(148,1),(157,1),(231,1),(242,1),(243,1),(249,1),(318,1)}
       196:{1,3,6}:{(149,1),(152,1),(158,1),(244,1),(245,1)}
       197:{2,3,7}:{(149,1),(150,1),(159,1),(245,1),(358,1)}
       198:{3,6,7}:{(150,1),(151,1),(153,1),(246,1)}
       199:{2,5,7}:{(151,1),(154,1),(160,1),(246,1)}
       200:{2,5}:{(152,1),(236,1),(244,1)}
       201:{3,5,6}:{(153,1),(154,1),(237,1),(246,1),(247,1)}
       202:{1,5,6}:{(155,1),(158,1),(248,1),(251,1),(294,1),(321,1),(348,1)}
       203:{2,5,7}:{(155,1),(156,1),(159,1),(248,1),(249,1)}
       204:{1,3,6,7}:{(156,1),(157,1),(161,1),(242,1),(249,1),(253,1),(296,1)}
       205:{1,5,6,7}:{(157,1),(160,1),(162,1),(243,1),(254,1),(297,1),(360,1)}
       206:{1,4,7}:{(158,1),(159,1),(245,1),(248,1)}
       207:{3,5,6,7}:{(161,1),(162,1),(163,1),(250,1),(308,1),(381,1)}
       208:{4,5,7}:{(163,1),(164,1),(250,1)}
       209:{2,5}:{(165,1),(167,1),(251,1)}
       210:{1,3,5,7}:{(165,1),(166,1),(168,1),(230,1),(252,1),(253,1)}
       211:{1,4,6}:{(166,1),(231,1),(253,1),(254,1),(348,1)}
       212:{1,4,6}:{(167,1),(170,1),(172,1),(251,1),(256,1),(321,1)}
       213:{2,4,7}:{(167,1),(168,1),(173,1),(252,1),(256,1)}
       214:{1,5,7}:{(169,1),(171,1),(235,1),(254,1),(388,1)}
       215:{1,2,4}:{(170,1),(174,1),(236,1),(257,1)}
       216:{1,2,6}:{(172,1),(174,1),(244,1),(258,1)}
       217:{1,3,7}:{(172,1),(173,1),(256,1),(258,1)}
       218:{1,3,5}:{(175,1),(176,1),(184,1),(259,1)}
       219:{1,4,5,7}:{(175,1),(177,1),(185,1),(260,1),(261,1),(264,1),(290,1)}
       220:{2,4,6}:{(176,1),(179,1),(181,1),(259,1),(262,1),(263,1),(325,1)}
       221:{1,3,4,7}:{(176,1),(177,1),(182,1),(187,1),(260,1),(263,1)}
       222:{1,4,6,7}:{(177,1),(178,1),(180,1),(188,1),(261,1),(264,1),(374,1)}
       223:{1,4}:{(179,1),(183,1)}
       224:{1,5}:{(180,1),(191,1)}
       225:{1,3,6}:{(181,1),(183,1),(262,1),(266,1),(267,1)}
       226:{2,3,7}:{(181,1),(182,1),(263,1),(267,1),(286,1)}
       227:{1,2,5}:{(183,1),(200,1),(265,1),(266,1)}
       228:{3,4,5}:{(184,1),(192,1),(268,1),(278,1),(366,1)}
       229:{2,3,5}:{(184,1),(186,1),(209,1),(259,1),(268,1),(270,1),(386,1)}
       230:{3,5,7}:{(184,1),(185,1),(187,1),(272,1)}
       231:{2,4,6}:{(185,1),(211,1),(261,1),(272,1),(273,1),(291,1),(325,1),(335,1)}
       232:{1,3,4,6}:{(186,1),(189,1),(196,1),(212,1),(262,1),(270,1),(274,1),(275,1),(279,1),(292,1),(326,1),(334,1),(337,1),(343,1),(363,1),(366,1),(374,1),(383,1),(384,1)}
       233:{2,3,4,7}:{(186,1),(187,1),(197,1),(213,1),(263,1),(271,1),(275,1),(280,1),(336,1),(370,1)}
       234:{3,4,6,7}:{(187,1),(188,1),(190,1),(198,1),(272,1),(276,1),(287,1),(335,1),(372,1),(384,1),(387,1)}
       235:{2,5,7}:{(188,1),(191,1),(214,1),(264,1),(273,1),(276,1),(386,1)}
       236:{2,4}:{(189,1),(200,1),(277,1)}
       237:{3,5}:{(190,1),(191,1),(278,1)}
       238:{2,4,6}:{(192,1),(193,1),(268,1),(279,1),(280,1)}
       239:{3,4,7}:{(192,1),(194,1),(280,1),(287,1)}
       240:{1,3,5,6}:{(193,1),(196,1),(202,1),(270,1),(279,1),(282,1),(283,1),(334,1),(337,1),(369,1),(385,1)}
       241:{2,3,5,7}:{(193,1),(194,1),(197,1),(203,1),(280,1),(283,1),(284,1),(340,1)}
       242:{3,6,7}:{(194,1),(195,1),(272,1)}
       243:{2,5,6,7}:{(195,1),(199,1),(205,1),(273,1),(285,1),(340,1)}
       244:{2,6}:{(196,1),(200,1),(286,1)}
       245:{1,3,7}:{(196,1),(197,1),(206,1),(286,1)}
       246:{3,5,7}:{(198,1),(199,1),(201,1),(287,1)}
       247:{4,6}:{(201,1),(278,1),(287,1)}
       248:{1,5,7}:{(202,1),(203,1),(206,1),(288,1)}
       249:{2,6,7}:{(203,1),(204,1),(288,1),(291,1),(325,1)}
       250:{4,6,7}:{(207,1),(208,1),(335,1),(387,1)}
       251:{1,5}:{(209,1),(212,1)}
       252:{2,5,7}:{(209,1),(210,1),(213,1),(290,1),(291,1)}
       253:{1,3,6}:{(210,1),(211,1),(272,1),(291,1)}
       254:{1,5,6}:{(211,1),(214,1),(273,1)}
       255:{1,2,4,6}:{(212,1),(215,1),(216,1),(274,1),(289,1),(292,1),(293,1),(343,1),(345,1),(374,1)}
       256:{1,4,7}:{(212,1),(213,1),(217,1),(290,1)}
       257:{1,3}:{(215,1),(277,1)}
       258:{1,2,7}:{(216,1),(217,1),(286,1)}
       259:{2,5}:{(218,1),(220,1),(294,1)}
       260:{1,3,5,7}:{(218,1),(219,1),(221,1),(230,1),(295,1),(296,1)}
       261:{1,4,6}:{(219,1),(231,1),(296,1),(297,1),(321,1)}
       262:{1,4,6}:{(220,1),(223,1),(225,1),(294,1),(299,1),(348,1)}
       263:{2,4,7}:{(220,1),(221,1),(226,1),(295,1),(299,1)}
       264:{1,5,7}:{(222,1),(224,1),(235,1),(297,1),(382,1)}
       265:{1,2,4}:{(223,1),(227,1),(236,1),(300,1)}
       266:{1,2,6}:{(225,1),(227,1),(244,1),(301,1)}
       267:{1,3,7}:{(225,1),(226,1),(299,1),(301,1)}
       268:{2,4,5}:{(228,1),(229,1),(238,1),(302,1),(355,1)}
       269:{3,4,5,7}:{(228,1),(230,1),(239,1),(303,1),(304,1),(311,1),(315,1),(377,1),(389,1)}
       270:{1,3,5}:{(229,1),(232,1),(251,1),(294,1),(302,1),(305,1),(350,1),(382,1),(388,1),(389,1)}
       271:{2,3,5,7}:{(229,1),(230,1),(233,1),(252,1),(295,1),(303,1),(306,1),(307,1)}
       272:{3,6}:{(230,1),(231,1)}
       273:{2,5,6}:{(231,1),(235,1),(254,1),(297,1),(308,1)}
       274:{2,4,6}:{(232,1),(236,1),(244,1),(305,1),(309,1),(310,1),(355,1),(357,1)}
       275:{1,3,4,7}:{(232,1),(233,1),(245,1),(256,1),(299,1),(306,1),(310,1),(313,1),(322,1),(349,1),(358,1),(361,1),(375,1),(377,1)}
       276:{3,5,7}:{(234,1),(235,1),(237,1),(308,1),(311,1),(389,1)}
       277:{2,3}:{(236,1),(257,1),(300,1)}
       278:{4,5}:{(237,1),(247,1)}
       279:{1,4,6}:{(238,1),(240,1),(302,1),(312,1),(313,1),(390,1)}
       280:{2,4,7}:{(238,1),(239,1),(241,1),(313,1)}
       281:{3,4,6,7}:{(239,1),(242,1),(304,1),(314,1),(315,1),(318,1)}
       282:{2,5,6}:{(240,1),(244,1),(305,1),(312,1),(316,1),(357,1)}
       283:{1,3,5,7}:{(240,1),(241,1),(245,1),(248,1),(313,1),(316,1),(317,1),(358,1),(360,1),(381,1)}
       284:{2,3,6,7}:{(241,1),(242,1),(249,1),(307,1),(314,1),(317,1)}
       285:{3,5,6,7}:{(242,1),(243,1),(246,1),(308,1),(315,1),(318,1)}
       286:{2,7}:{(244,1),(245,1)}
       287:{4,7}:{(246,1),(247,1)}
       288:{1,6,7}:{(248,1),(249,1),(321,1),(348,1)}
       289:{1,2,5}:{(251,1),(255,1),(305,1),(319,1),(382,1)}
       290:{1,5,7}:{(251,1),(252,1),(256,1),(321,1)}
       291:{2,6}:{(252,1),(253,1),(321,1)}
       292:{1,3,6}:{(255,1),(257,1),(309,1),(319,1),(322,1)}
       293:{1,2,4,7}:{(255,1),(256,1),(258,1),(310,1),(320,1),(322,1),(361,1)}
       294:{1,5}:{(259,1),(262,1)}
       295:{2,5,7}:{(259,1),(260,1),(263,1),(324,1),(325,1)}
       296:{1,3,6}:{(260,1),(261,1),(272,1),(325,1)}
       297:{1,5,6}:{(261,1),(264,1),(273,1)}
       298:{1,2,4,6}:{(262,1),(265,1),(266,1),(274,1),(323,1),(326,1),(327,1),(363,1),(365,1),(383,1)}
       299:{1,4,7}:{(262,1),(263,1),(267,1),(324,1)}
       300:{1,3}:{(265,1),(277,1)}
       301:{1,2,7}:{(266,1),(267,1),(286,1)}
       302:{1,4,5}:{(268,1),(270,1),(279,1),(328,1),(343,1),(363,1),(391,1)}
       303:{2,4,5,7}:{(268,1),(269,1),(271,1),(280,1),(329,1),(330,1),(340,1),(370,1),(386,1)}
       304:{3,4,6}:{(269,1),(272,1),(330,1),(331,1),(335,1)}
       305:{2,5}:{(270,1),(274,1)}
       306:{1,3,5,7}:{(270,1),(271,1),(275,1),(290,1),(324,1),(329,1),(333,1),(334,1),(367,1)}
       307:{2,3,6}:{(271,1),(272,1),(291,1),(325,1),(330,1),(334,1)}
       308:{3,5,6}:{(272,1),(273,1),(276,1),(335,1)}
       309:{2,3,6}:{(274,1),(277,1),(292,1),(326,1),(332,1),(336,1),(337,1)}
       310:{2,4,7}:{(274,1),(275,1),(286,1),(333,1),(336,1)}
       311:{4,5,7}:{(276,1),(278,1),(287,1),(335,1),(387,1),(391,1)}
       312:{2,4,6}:{(279,1),(282,1),(328,1),(337,1),(338,1)}
       313:{1,4,7}:{(279,1),(280,1),(283,1),(338,1),(387,1)}
       314:{2,4,6,7}:{(280,1),(281,1),(284,1),(330,1),(339,1),(340,1)}
       315:{3,5,7}:{(281,1),(331,1),(340,1),(341,1)}
       316:{2,5,7}:{(282,1),(283,1),(286,1),(338,1),(342,1)}
       317:{1,3,6,7}:{(283,1),(284,1),(288,1),(334,1),(339,1),(342,1),(372,1)}
       318:{4,6,7}:{(285,1),(287,1),(335,1),(341,1)}
       319:{1,3,5}:{(289,1),(292,1),(332,1),(343,1)}
       320:{1,2,5,7}:{(289,1),(290,1),(293,1),(333,1),(344,1),(345,1)}
       321:{1,6}:{(290,1),(291,1)}
       322:{1,3,7}:{(292,1),(293,1),(336,1)}
       323:{1,2,5}:{(294,1),(298,1),(305,1),(346,1),(388,1)}
       324:{1,5,7}:{(294,1),(295,1),(299,1),(348,1)}
       325:{2,6}:{(295,1),(296,1),(348,1)}
       326:{1,3,6}:{(298,1),(300,1),(309,1),(346,1),(349,1)}
       327:{1,2,4,7}:{(298,1),(299,1),(301,1),(310,1),(347,1),(349,1),(375,1)}
       328:{2,4,5}:{(302,1),(305,1),(312,1),(350,1),(355,1)}
       329:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(351,1),(352,1),(360,1),(361,1),(375,1),(382,1),(388,1)}
       330:{2,4,6}:{(303,1),(304,1),(307,1),(352,1),(353,1)}
       331:{3,5,6}:{(304,1),(315,1),(353,1),(354,1),(389,1)}
       332:{2,3,5}:{(305,1),(309,1),(319,1),(346,1),(350,1),(355,1)}
       333:{2,5,7}:{(305,1),(306,1),(310,1),(357,1)}
       334:{1,3,6}:{(306,1),(307,1),(321,1),(348,1),(352,1),(357,1),(378,1)}
       335:{4,6}:{(308,1),(311,1)}
       336:{2,3,7}:{(309,1),(310,1),(322,1),(349,1),(358,1)}
       337:{3,6}:{(312,1),(350,1),(358,1)}
       338:{2,4,7}:{(312,1),(313,1),(316,1),(358,1)}
       339:{1,4,6,7}:{(313,1),(314,1),(317,1),(352,1),(359,1),(360,1)}
       340:{2,5,7}:{(314,1),(315,1),(353,1),(360,1)}
       341:{4,5,7}:{(315,1),(318,1),(354,1)}
       342:{2,6,7}:{(316,1),(317,1),(357,1)}
       343:{1,4}:{(319,1),(355,1)}
       344:{1,3,5,7}:{(319,1),(320,1),(322,1),(356,1),(361,1),(362,1),(382,1)}
       345:{1,2,6}:{(320,1),(321,1),(357,1),(362,1)}
       346:{1,3,5}:{(323,1),(326,1),(332,1),(363,1)}
       347:{1,2,5,7}:{(323,1),(324,1),(327,1),(333,1),(364,1),(365,1)}
       348:{1,6}:{(324,1),(325,1)}
       349:{1,3,7}:{(326,1),(327,1),(336,1)}
       350:{3,5}:{(328,1),(337,1),(366,1)}
       351:{2,4,5,7}:{(328,1),(329,1),(333,1),(338,1),(367,1),(368,1),(370,1),(373,1),(386,1),(387,1),(391,1)}
       352:{1,4,6}:{(329,1),(330,1),(334,1),(368,1),(369,1)}
       353:{2,5,6}:{(330,1),(331,1),(340,1),(369,1),(386,1)}
       354:{4,5,6}:{(331,1),(335,1),(341,1),(391,1)}
       355:{2,4}:{(332,1),(343,1),(363,1),(366,1)}
       356:{2,3,5,7}:{(332,1),(333,1),(336,1),(344,1),(364,1),(367,1),(370,1),(371,1),(386,1)}
       357:{2,6}:{(333,1),(334,1)}
       358:{3,7}:{(337,1),(338,1)}
       359:{2,4,6,7}:{(338,1),(339,1),(342,1),(368,1),(372,1),(373,1),(387,1)}
       360:{1,5,7}:{(339,1),(340,1),(369,1),(373,1)}
       361:{1,4,7}:{(343,1),(344,1),(370,1),(374,1)}
       362:{1,3,6}:{(344,1),(345,1),(371,1),(374,1)}
       363:{1,4}:{(346,1),(355,1)}
       364:{1,3,5,7}:{(346,1),(347,1),(349,1),(356,1),(375,1),(376,1),(388,1)}
       365:{1,2,6}:{(347,1),(348,1),(357,1),(376,1)}
       366:{3,4}:{(350,1),(355,1)}
       367:{3,5,7}:{(350,1),(351,1),(358,1),(377,1),(378,1),(389,1)}
       368:{2,4,6}:{(351,1),(352,1),(357,1),(378,1),(379,1),(390,1)}
       369:{1,5,6}:{(352,1),(353,1),(360,1),(379,1),(382,1),(388,1)}
       370:{2,4,7}:{(355,1),(356,1),(361,1),(375,1),(377,1),(380,1)}
       371:{2,3,6}:{(356,1),(357,1),(362,1),(376,1),(378,1),(380,1)}
       372:{3,6,7}:{(358,1),(359,1),(378,1),(381,1)}
       373:{2,5,7}:{(359,1),(360,1),(379,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(380,1),(382,1)}
       375:{1,4,7}:{(363,1),(364,1),(370,1),(383,1)}
       376:{1,3,6}:{(364,1),(365,1),(371,1),(383,1)}
       377:{3,4,7}:{(366,1),(367,1),(370,1),(384,1),(387,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{2,5,6}:{(368,1),(369,1),(373,1),(385,1),(386,1)}
       380:{2,4,6}:{(370,1),(371,1),(374,1),(383,1),(384,1),(386,1)}
       381:{3,5,7}:{(372,1),(373,1),(385,1),(387,1)}
       382:{1,5}:{(374,1),(386,1)}
       383:{1,4,6}:{(375,1),(376,1),(380,1),(388,1)}
       384:{3,4,6}:{(377,1),(378,1),(380,1),(389,1),(390,1)}
       385:{3,5,6}:{(378,1),(379,1),(381,1),(389,1),(390,1)}
       386:{2,5}:{(380,1),(382,1),(388,1),(389,1)}
       387:{4,7}:{(381,1),(390,1)}
       388:{1,5}:{(383,1),(386,1)}
       389:{3,5}:{(384,1),(386,1),(391,1)}
       390:{4,6}:{(385,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 677 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(15,1),(58,1),(75,1),(210,1),(219,1),(229,1),(272,1)}
         1:{1,3,4,7}:{(0,1),(5,1),(6,1),(7,1),(11,1),(30,1),(48,1),(84,1),(90,1),(103,1),(178,1),(258,1),(265,1),(303,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(247,1),(263,1),(301,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(9,1),(10,1),(34,1),(46,1),(91,1),(94,1),(171,1),(172,1),(179,1),(192,1),(238,1)}
         4:{1,2,4,7}:{(5,1),(11,1),(12,1),(13,1),(48,1),(303,1),(306,1)}
         5:{2,4,7}:{(1,1),(15,1),(16,1),(17,1),(293,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(16,1),(18,1),(19,1),(20,1),(61,1),(296,1),(327,1)}
         7:{1,3,4,6}:{(1,1),(3,1),(17,1),(19,1),(20,1),(27,1),(55,1),(69,1),(77,1),(80,1),(120,1),(123,1),(127,1),(132,1),(138,1),(212,1),(220,1),(230,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(21,1),(22,1),(25,1),(58,1),(73,1),(75,1),(129,1)}
         9:{2,3,6}:{(2,1),(19,1),(22,1),(280,1),(295,1),(326,1)}
        10:{2,3,5}:{(3,1),(20,1),(25,1),(129,1),(209,1),(228,1),(271,1)}
        11:{1,3,7}:{(4,1),(15,1),(27,1)}
        12:{1,2,5,7}:{(4,1),(16,1),(26,1),(28,1),(29,1),(327,1)}
        13:{1,2,4,6}:{(4,1),(17,1),(27,1),(28,1),(29,1),(77,1),(80,1),(273,1),(274,1),(276,1)}
        14:{1,2,4,7}:{(5,1),(30,1),(31,1),(32,1),(84,1),(265,1),(268,1)}
        15:{2,3,7}:{(5,1),(11,1),(30,1),(34,1),(178,1)}
        16:{2,5,7}:{(5,1),(6,1),(36,1),(37,1)}
        17:{2,4,6}:{(5,1),(7,1),(34,1),(36,1),(37,1),(94,1),(251,1),(259,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(35,1),(38,1),(41,1),(48,1),(84,1),(101,1),(103,1),(113,1),(159,1)}
        19:{1,3,6}:{(6,1),(9,1),(36,1),(38,1),(95,1),(322,1),(347,1)}
        20:{1,3,5}:{(7,1),(10,1),(37,1),(41,1),(100,1),(113,1),(159,1),(167,1),(264,1),(302,1)}
        21:{3,4,5,7}:{(8,1),(42,1),(47,1),(90,1),(106,1),(111,1),(167,1),(244,1),(247,1)}
        22:{2,4,6}:{(8,1),(9,1),(38,1),(42,1),(44,1)}
        23:{2,3,6,7}:{(9,1),(39,1),(43,1),(45,1),(187,1),(260,1)}
        24:{2,3,5,6}:{(9,1),(10,1),(40,1),(44,1),(45,1),(46,1),(110,1),(179,1),(183,1)}
        25:{2,4,5}:{(10,1),(41,1),(46,1),(47,1),(94,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(33,1),(48,1),(49,1),(50,1),(113,1)}
        27:{1,3,6}:{(11,1),(13,1),(34,1),(50,1),(305,1)}
        28:{1,2,6}:{(12,1),(36,1),(49,1),(347,1)}
        29:{1,2,5}:{(13,1),(37,1),(50,1),(113,1),(302,1)}
        30:{1,3,7}:{(14,1),(15,1),(55,1)}
        31:{1,2,5,7}:{(14,1),(16,1),(54,1),(56,1),(57,1),(296,1)}
        32:{1,2,4,6}:{(14,1),(17,1),(55,1),(56,1),(57,1),(120,1),(123,1),(230,1),(231,1),(233,1)}
        33:{2,3,5,7}:{(15,1),(16,1),(26,1),(54,1),(58,1),(59,1),(60,1),(61,1),(129,1)}
        34:{2,3,6}:{(15,1),(17,1),(27,1),(55,1),(60,1),(138,1),(285,1)}
        35:{2,4,5,7}:{(16,1),(18,1),(58,1),(61,1),(62,1),(65,1),(129,1),(135,1),(137,1),(206,1),(214,1)}
        36:{2,6}:{(16,1),(19,1)}
        37:{2,5}:{(17,1),(20,1)}
        38:{1,4,6}:{(18,1),(19,1),(22,1),(62,1),(67,1)}
        39:{1,3,6,7}:{(19,1),(23,1),(63,1),(66,1),(68,1),(133,1),(294,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(24,1),(64,1),(67,1),(68,1),(69,1),(134,1),(138,1),(220,1),(224,1)}
        41:{1,4,5}:{(20,1),(25,1),(65,1),(69,1),(80,1),(123,1),(206,1)}
        42:{3,4,6}:{(21,1),(22,1),(72,1),(277,1),(280,1)}
        43:{2,4,6,7}:{(22,1),(23,1),(66,1),(71,1),(73,1),(75,1)}
        44:{2,5,6}:{(22,1),(67,1),(72,1),(73,1),(129,1)}
        45:{2,3,5,7}:{(23,1),(24,1),(68,1),(73,1),(75,1),(149,1),(219,1),(223,1)}
        46:{2,4,6}:{(24,1),(25,1),(69,1),(75,1),(76,1)}
        47:{3,4,5}:{(25,1),(76,1),(132,1),(209,1),(391,1)}
        48:{1,4,7}:{(26,1),(58,1),(77,1),(80,1)}
        49:{1,3,6}:{(26,1),(28,1),(59,1),(77,1)}
        50:{1,3,5}:{(27,1),(29,1),(60,1),(80,1)}
        51:{1,2,6,7}:{(28,1),(63,1),(78,1),(81,1),(294,1),(295,1),(343,1),(363,1)}
        52:{1,2,5,6}:{(28,1),(29,1),(64,1),(79,1),(81,1),(82,1),(224,1),(228,1),(276,1),(292,1),(295,1),(328,1),(363,1)}
        53:{1,2,4,5}:{(29,1),(65,1),(80,1),(82,1),(83,1),(145,1),(151,1),(154,1),(221,1),(228,1),(274,1),(328,1),(334,1),(365,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(84,1),(85,1),(86,1),(159,1)}
        55:{1,3,6}:{(30,1),(32,1),(34,1),(86,1),(267,1)}
        56:{1,2,6}:{(31,1),(36,1),(85,1),(322,1)}
        57:{1,2,5}:{(32,1),(37,1),(86,1),(159,1),(264,1)}
        58:{2,4,7}:{(33,1),(48,1),(84,1),(90,1),(91,1),(94,1)}
        59:{2,3,6}:{(33,1),(36,1),(49,1),(85,1),(91,1),(95,1)}
        60:{2,3,5}:{(34,1),(37,1),(50,1),(86,1),(94,1),(100,1)}
        61:{3,5,7}:{(35,1),(90,1),(95,1),(100,1),(167,1),(178,1)}
        62:{2,4,6}:{(35,1),(36,1),(38,1),(95,1),(97,1),(174,1)}
        63:{2,6,7}:{(36,1),(39,1),(98,1)}
        64:{2,5,6}:{(36,1),(37,1),(40,1),(98,1),(99,1),(259,1)}
        65:{2,4,5}:{(37,1),(41,1),(94,1),(99,1),(100,1)}
        66:{1,4,6,7}:{(38,1),(39,1),(43,1),(96,1),(101,1),(103,1)}
        67:{1,5,6}:{(38,1),(44,1),(97,1),(101,1),(113,1),(159,1)}
        68:{1,3,5,7}:{(39,1),(40,1),(45,1),(98,1),(101,1),(103,1),(173,1),(178,1),(258,1),(261,1)}
        69:{1,4,6}:{(40,1),(41,1),(46,1),(99,1),(103,1),(174,1)}
        70:{1,3,4,5}:{(41,1),(47,1),(100,1),(104,1),(105,1),(116,1),(162,1),(180,1),(190,1),(236,1),(245,1),(310,1),(354,1)}
        71:{3,4,6,7}:{(42,1),(43,1),(106,1),(111,1),(186,1),(187,1)}
        72:{3,5,6}:{(42,1),(44,1),(106,1),(107,1),(167,1)}
        73:{2,5,7}:{(43,1),(44,1),(101,1),(106,1)}
        74:{2,4,5,6}:{(44,1),(46,1),(102,1),(107,1),(109,1),(110,1),(169,1),(183,1),(246,1),(319,1),(377,1),(389,1)}
        75:{2,4,7}:{(45,1),(46,1),(103,1),(111,1)}
        76:{3,4,6}:{(46,1),(47,1),(110,1),(111,1),(389,1)}
        77:{1,4,6}:{(48,1),(49,1),(91,1),(113,1)}
        78:{1,3,6,7}:{(49,1),(51,1),(92,1),(112,1),(114,1),(262,1),(347,1),(375,1)}
        79:{1,3,5,6}:{(49,1),(50,1),(52,1),(93,1),(113,1),(114,1),(115,1),(118,1),(188,1),(190,1),(241,1),(262,1),(302,1),(347,1),(349,1),(375,1),(388,1)}
        80:{1,4}:{(50,1),(94,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(98,1),(114,1),(117,1),(261,1),(263,1),(306,1),(321,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(99,1),(115,1),(117,1),(118,1),(185,1),(192,1),(259,1),(319,1)}
        83:{1,3,5}:{(53,1),(100,1),(116,1),(118,1),(119,1),(305,1),(354,1)}
        84:{1,4,7}:{(54,1),(58,1),(120,1),(123,1)}
        85:{1,3,6}:{(54,1),(56,1),(59,1),(120,1)}
        86:{1,3,5}:{(55,1),(57,1),(60,1),(123,1)}
        87:{1,2,6,7}:{(56,1),(63,1),(121,1),(124,1),(294,1),(326,1),(343,1),(344,1)}
        88:{1,2,5,6}:{(56,1),(57,1),(64,1),(122,1),(124,1),(125,1),(224,1),(233,1),(271,1),(292,1),(297,1),(326,1),(344,1)}
        89:{1,2,4,5}:{(57,1),(65,1),(123,1),(125,1),(126,1),(145,1),(198,1),(201,1),(221,1),(231,1),(271,1),(297,1),(334,1),(346,1)}
        90:{3,4,7}:{(58,1),(61,1),(127,1),(132,1),(214,1)}
        91:{2,4,6}:{(58,1),(59,1),(77,1),(120,1),(127,1),(129,1)}
        92:{2,3,6,7}:{(59,1),(63,1),(78,1),(121,1),(128,1),(130,1),(133,1),(280,1),(295,1),(326,1),(343,1),(370,1),(373,1)}
        93:{2,3,5,6}:{(59,1),(60,1),(64,1),(79,1),(122,1),(129,1),(130,1),(131,1),(134,1),(138,1),(156,1),(203,1),(207,1),(209,1),(228,1),(271,1),(280,1),(292,1),(295,1),(326,1),(337,1),(342,1),(370,1),(384,1),(386,1)}
        94:{2,4}:{(60,1),(80,1),(123,1),(132,1)}
        95:{3,6}:{(61,1),(62,1)}
        96:{2,4,6,7}:{(62,1),(63,1),(66,1),(133,1),(135,1),(137,1),(214,1)}
        97:{2,5,6}:{(62,1),(67,1),(129,1),(134,1),(135,1)}
        98:{2,5,7}:{(63,1),(64,1),(68,1),(137,1),(293,1)}
        99:{2,4,6}:{(64,1),(65,1),(69,1),(137,1),(138,1)}
       100:{3,5}:{(65,1),(132,1),(138,1)}
       101:{1,5,7}:{(66,1),(67,1),(73,1),(135,1)}
       102:{1,4,5,6}:{(67,1),(69,1),(74,1),(136,1),(141,1),(142,1),(151,1),(198,1),(224,1),(226,1),(269,1),(289,1),(366,1)}
       103:{1,4,7}:{(68,1),(69,1),(75,1),(137,1),(214,1)}
       104:{1,3,4,6}:{(69,1),(70,1),(76,1),(138,1),(142,1),(143,1),(144,1),(215,1),(220,1),(289,1),(342,1)}
       105:{2,4,5}:{(70,1),(139,1),(144,1),(145,1),(154,1),(201,1),(221,1),(228,1),(271,1)}
       106:{3,5,7}:{(71,1),(72,1),(73,1),(147,1)}
       107:{4,5,6}:{(72,1),(147,1),(206,1),(277,1)}
       108:{2,5,6,7}:{(73,1),(140,1),(146,1),(148,1),(207,1),(372,1)}
       109:{2,4,5,7}:{(73,1),(74,1),(75,1),(141,1),(147,1),(148,1),(149,1),(223,1),(341,1),(372,1),(387,1)}
       110:{3,5,6}:{(74,1),(76,1),(149,1),(209,1),(280,1),(342,1)}
       111:{3,4,7}:{(75,1),(76,1),(149,1),(387,1)}
       112:{1,4,6,7}:{(77,1),(78,1),(128,1),(150,1),(152,1),(226,1),(383,1)}
       113:{1,5}:{(77,1),(129,1)}
       114:{1,3,5,7}:{(78,1),(79,1),(81,1),(130,1),(150,1),(152,1),(155,1),(275,1),(327,1)}
       115:{1,4,6}:{(79,1),(80,1),(131,1),(151,1),(152,1),(365,1)}
       116:{1,3,4}:{(80,1),(83,1),(132,1),(154,1),(365,1),(369,1)}
       117:{1,2,4,7}:{(81,1),(82,1),(137,1),(152,1),(155,1),(225,1),(229,1),(293,1),(341,1)}
       118:{1,3,6}:{(82,1),(83,1),(138,1),(155,1),(156,1),(342,1)}
       119:{2,3,5}:{(83,1),(154,1),(156,1),(157,1),(221,1),(228,1),(285,1)}
       120:{1,4,6}:{(84,1),(85,1),(91,1),(159,1)}
       121:{1,3,6,7}:{(85,1),(87,1),(92,1),(158,1),(160,1),(300,1),(322,1),(361,1)}
       122:{1,3,5,6}:{(85,1),(86,1),(88,1),(93,1),(159,1),(160,1),(161,1),(164,1),(195,1),(234,1),(236,1),(264,1),(300,1),(322,1),(324,1),(361,1),(382,1)}
       123:{1,4}:{(86,1),(94,1)}
       124:{1,2,5,7}:{(87,1),(88,1),(98,1),(160,1),(163,1),(261,1),(268,1),(301,1),(321,1)}
       125:{1,2,4,6}:{(88,1),(89,1),(99,1),(161,1),(163,1),(164,1),(185,1),(238,1),(259,1),(319,1)}
       126:{1,3,5}:{(89,1),(100,1),(162,1),(164,1),(165,1),(267,1),(354,1)}
       127:{3,4,6}:{(90,1),(91,1),(95,1),(167,1),(174,1)}
       128:{2,4,6,7}:{(91,1),(92,1),(112,1),(158,1),(166,1),(168,1),(170,1),(246,1),(380,1)}
       129:{2,5}:{(91,1),(113,1),(159,1),(167,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(98,1),(114,1),(160,1),(168,1),(170,1),(173,1),(178,1),(194,1),(240,1),(247,1),(263,1),(301,1),(321,1),(360,1),(381,1)}
       131:{2,4,6}:{(93,1),(94,1),(115,1),(161,1),(169,1),(170,1),(171,1),(174,1),(357,1),(389,1)}
       132:{3,4}:{(94,1),(100,1)}
       133:{3,6,7}:{(95,1),(96,1),(173,1),(178,1)}
       134:{3,5,6}:{(95,1),(97,1),(167,1),(173,1),(174,1)}
       135:{2,5,7}:{(96,1),(97,1),(101,1),(173,1)}
       136:{2,4,5,6}:{(97,1),(99,1),(102,1),(169,1),(174,1),(176,1),(177,1),(183,1),(246,1),(254,1),(307,1),(351,1)}
       137:{2,4,7}:{(98,1),(99,1),(103,1),(178,1)}
       138:{3,6}:{(99,1),(100,1),(178,1)}
       139:{2,3,5}:{(100,1),(105,1),(172,1),(179,1),(180,1),(354,1)}
       140:{1,5,6,7}:{(101,1),(108,1),(175,1),(181,1),(188,1),(234,1),(358,1)}
       141:{1,4,5,7}:{(101,1),(102,1),(103,1),(109,1),(176,1),(181,1),(182,1),(261,1),(318,1),(358,1)}
       142:{1,3,5,6}:{(102,1),(104,1),(110,1),(177,1),(182,1),(183,1),(190,1),(236,1),(262,1),(300,1)}
       143:{1,3,4,7}:{(103,1),(104,1),(111,1),(178,1),(182,1),(184,1),(253,1),(258,1),(318,1),(360,1)}
       144:{2,4,6}:{(104,1),(105,1),(179,1),(183,1),(184,1),(185,1),(259,1)}
       145:{1,4,5}:{(105,1),(180,1),(185,1),(193,1),(239,1),(264,1),(302,1)}
       146:{3,5,6,7}:{(106,1),(108,1),(186,1),(187,1),(243,1),(381,1)}
       147:{4,5,7}:{(106,1),(107,1),(186,1)}
       148:{2,4,6,7}:{(108,1),(109,1),(181,1),(186,1),(187,1),(246,1),(260,1)}
       149:{3,5,7}:{(109,1),(110,1),(111,1),(187,1),(360,1)}
       150:{1,5,7}:{(112,1),(113,1),(168,1),(188,1),(388,1)}
       151:{1,4,5}:{(113,1),(115,1),(169,1),(190,1),(302,1),(388,1)}
       152:{1,4,7}:{(114,1),(115,1),(170,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(118,1),(171,1),(190,1),(191,1),(192,1),(262,1)}
       154:{2,4}:{(116,1),(119,1),(193,1)}
       155:{1,3,7}:{(117,1),(118,1),(178,1),(194,1),(360,1)}
       156:{2,3,6}:{(118,1),(119,1),(192,1),(194,1),(195,1),(259,1)}
       157:{1,3,5}:{(119,1),(193,1),(195,1),(196,1),(264,1),(267,1)}
       158:{1,4,6,7}:{(120,1),(121,1),(128,1),(197,1),(199,1),(269,1),(374,1)}
       159:{1,5}:{(120,1),(129,1)}
       160:{1,3,5,7}:{(121,1),(122,1),(124,1),(130,1),(197,1),(199,1),(202,1),(232,1),(296,1)}
       161:{1,4,6}:{(122,1),(123,1),(131,1),(198,1),(199,1),(346,1)}
       162:{1,3,4}:{(123,1),(126,1),(132,1),(201,1),(346,1),(369,1)}
       163:{1,2,4,7}:{(124,1),(125,1),(137,1),(199,1),(202,1),(225,1),(272,1),(293,1),(341,1)}
       164:{1,3,6}:{(125,1),(126,1),(138,1),(202,1),(203,1),(342,1)}
       165:{2,3,5}:{(126,1),(201,1),(203,1),(204,1),(221,1),(271,1),(285,1)}
       166:{3,4,6,7}:{(127,1),(128,1),(133,1),(205,1),(210,1),(214,1),(277,1),(280,1),(373,1),(385,1),(387,1)}
       167:{3,5}:{(127,1),(129,1),(206,1)}
       168:{2,5,7}:{(128,1),(129,1),(150,1),(197,1),(205,1),(207,1),(386,1)}
       169:{2,4,5}:{(129,1),(131,1),(151,1),(198,1),(206,1),(209,1),(228,1),(271,1),(386,1),(391,1)}
       170:{2,4,7}:{(130,1),(131,1),(152,1),(199,1),(210,1),(214,1),(387,1)}
       171:{3,4,6}:{(131,1),(132,1),(138,1),(209,1),(210,1),(280,1),(342,1),(369,1)}
       172:{2,3,4}:{(132,1),(139,1),(154,1),(201,1),(212,1),(285,1),(369,1)}
       173:{3,5,7}:{(133,1),(134,1),(135,1),(214,1)}
       174:{4,6}:{(134,1),(206,1),(214,1)}
       175:{2,5,6,7}:{(135,1),(140,1),(207,1),(213,1),(216,1),(339,1)}
       176:{2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(214,1),(216,1),(217,1),(223,1),(286,1),(288,1),(339,1)}
       177:{3,5,6}:{(136,1),(138,1),(209,1),(215,1),(217,1),(280,1)}
       178:{3,7}:{(137,1),(138,1)}
       179:{2,3,6}:{(138,1),(139,1),(144,1),(219,1),(220,1),(342,1)}
       180:{1,3,5}:{(139,1),(145,1),(212,1),(220,1),(221,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(148,1),(216,1),(222,1),(226,1),(269,1),(294,1)}
       182:{1,3,5,7}:{(141,1),(142,1),(143,1),(149,1),(217,1),(222,1),(223,1)}
       183:{2,5,6}:{(142,1),(144,1),(223,1),(224,1),(228,1),(271,1),(295,1),(326,1)}
       184:{2,4,7}:{(143,1),(144,1),(219,1),(223,1),(225,1),(293,1)}
       185:{1,4,6}:{(144,1),(145,1),(220,1),(224,1),(225,1)}
       186:{4,6,7}:{(146,1),(147,1),(277,1),(387,1)}
       187:{3,6,7}:{(148,1),(149,1),(280,1)}
       188:{1,5,6}:{(150,1),(207,1),(226,1)}
       189:{1,4,5,7}:{(150,1),(151,1),(152,1),(208,1),(226,1),(227,1),(327,1)}
       190:{1,3,5}:{(151,1),(153,1),(209,1),(228,1)}
       191:{1,3,4,7}:{(152,1),(153,1),(155,1),(210,1),(227,1),(229,1)}
       192:{2,4,6}:{(153,1),(154,1),(156,1),(228,1),(229,1),(230,1),(295,1)}
       193:{1,4}:{(154,1),(157,1)}
       194:{2,3,7}:{(155,1),(156,1),(229,1),(232,1),(293,1)}
       195:{1,3,6}:{(156,1),(157,1),(230,1),(232,1),(233,1)}
       196:{1,2,5}:{(157,1),(221,1),(231,1),(233,1)}
       197:{1,5,7}:{(158,1),(159,1),(168,1),(234,1),(382,1)}
       198:{1,4,5}:{(159,1),(161,1),(169,1),(236,1),(264,1),(382,1)}
       199:{1,4,7}:{(160,1),(161,1),(170,1)}
       200:{1,3,4,6}:{(161,1),(162,1),(164,1),(171,1),(236,1),(237,1),(238,1),(300,1)}
       201:{2,4}:{(162,1),(165,1),(239,1)}
       202:{1,3,7}:{(163,1),(164,1),(178,1),(240,1),(360,1)}
       203:{2,3,6}:{(164,1),(165,1),(238,1),(240,1),(241,1),(259,1)}
       204:{1,3,5}:{(165,1),(239,1),(241,1),(242,1),(302,1),(305,1)}
       205:{3,5,7}:{(166,1),(167,1),(168,1),(243,1),(244,1),(390,1)}
       206:{4,5}:{(167,1),(174,1)}
       207:{2,5,6}:{(168,1),(188,1),(234,1),(243,1),(246,1)}
       208:{2,4,5,7}:{(168,1),(169,1),(170,1),(189,1),(235,1),(244,1),(246,1),(247,1),(263,1),(301,1)}
       209:{3,5}:{(169,1),(171,1)}
       210:{3,4,7}:{(170,1),(171,1),(178,1),(247,1),(360,1)}
       211:{2,3,4,6}:{(171,1),(172,1),(179,1),(192,1),(238,1),(248,1),(249,1),(250,1),(254,1),(311,1),(315,1),(357,1),(380,1)}
       212:{1,3,4}:{(172,1),(180,1),(193,1),(239,1),(251,1),(267,1),(305,1)}
       213:{3,5,6,7}:{(173,1),(175,1),(243,1),(252,1),(255,1),(316,1)}
       214:{4,7}:{(173,1),(174,1)}
       215:{3,4,6}:{(174,1),(177,1),(245,1),(253,1),(254,1)}
       216:{2,4,6,7}:{(175,1),(176,1),(181,1),(246,1),(252,1),(255,1),(260,1)}
       217:{3,5,7}:{(176,1),(177,1),(178,1),(253,1),(255,1)}
       218:{2,3,5,6}:{(177,1),(179,1),(183,1),(248,1),(254,1),(256,1),(257,1),(311,1),(351,1)}
       219:{2,3,7}:{(178,1),(179,1),(184,1),(258,1),(360,1)}
       220:{1,3,6}:{(179,1),(180,1),(185,1),(258,1),(259,1)}
       221:{2,5}:{(180,1),(251,1),(259,1)}
       222:{1,3,6,7}:{(181,1),(182,1),(187,1),(255,1),(260,1),(262,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(184,1),(260,1),(261,1)}
       224:{1,5,6}:{(183,1),(185,1),(261,1),(264,1),(302,1),(322,1),(347,1)}
       225:{1,4,7}:{(184,1),(185,1),(258,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(246,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(191,1),(247,1),(262,1),(263,1)}
       228:{2,5}:{(190,1),(192,1),(264,1)}
       229:{2,4,7}:{(191,1),(192,1),(194,1),(263,1),(265,1)}
       230:{1,4,6}:{(192,1),(193,1),(195,1),(264,1),(265,1),(322,1)}
       231:{1,2,4}:{(193,1),(196,1),(251,1),(267,1)}
       232:{1,3,7}:{(194,1),(195,1),(265,1),(268,1)}
       233:{1,2,6}:{(195,1),(196,1),(259,1),(268,1)}
       234:{1,5,6}:{(197,1),(207,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(208,1),(269,1),(270,1),(296,1)}
       236:{1,3,5}:{(198,1),(200,1),(209,1),(271,1)}
       237:{1,3,4,7}:{(199,1),(200,1),(202,1),(210,1),(270,1),(272,1)}
       238:{2,4,6}:{(200,1),(201,1),(203,1),(271,1),(272,1),(273,1),(326,1)}
       239:{1,4}:{(201,1),(204,1)}
       240:{2,3,7}:{(202,1),(203,1),(272,1),(275,1),(293,1)}
       241:{1,3,6}:{(203,1),(204,1),(273,1),(275,1),(276,1)}
       242:{1,2,5}:{(204,1),(221,1),(274,1),(276,1)}
       243:{3,5,6}:{(205,1),(207,1),(277,1),(280,1)}
       244:{4,5,7}:{(205,1),(206,1),(214,1),(277,1),(387,1),(391,1)}
       245:{3,4,5}:{(206,1),(209,1),(215,1),(279,1),(369,1)}
       246:{2,4,6}:{(207,1),(208,1),(226,1),(269,1),(277,1),(280,1),(295,1),(326,1)}
       247:{3,5,7}:{(208,1),(209,1),(210,1),(280,1)}
       248:{2,3,5}:{(209,1),(211,1),(228,1),(271,1),(279,1),(282,1),(386,1)}
       249:{2,3,4,7}:{(210,1),(211,1),(219,1),(229,1),(272,1),(281,1),(283,1),(288,1),(338,1),(371,1)}
       250:{1,3,4,6}:{(211,1),(212,1),(220,1),(230,1),(273,1),(282,1),(283,1),(284,1),(289,1),(299,1),(330,1),(335,1),(342,1),(346,1),(365,1),(369,1),(374,1),(383,1),(385,1)}
       251:{2,4}:{(212,1),(221,1),(285,1)}
       252:{4,6,7}:{(213,1),(214,1),(277,1),(286,1)}
       253:{3,4,7}:{(214,1),(215,1),(217,1),(288,1)}
       254:{2,4,6}:{(215,1),(218,1),(279,1),(288,1),(289,1)}
       255:{3,6,7}:{(216,1),(217,1),(280,1)}
       256:{2,3,5,7}:{(217,1),(218,1),(219,1),(223,1),(288,1),(290,1),(291,1),(339,1)}
       257:{1,3,5,6}:{(218,1),(220,1),(224,1),(282,1),(289,1),(291,1),(292,1),(335,1),(342,1),(366,1),(384,1)}
       258:{1,3,7}:{(219,1),(220,1),(225,1),(293,1)}
       259:{2,6}:{(220,1),(221,1),(293,1)}
       260:{2,6,7}:{(222,1),(223,1),(294,1),(295,1),(326,1)}
       261:{1,5,7}:{(223,1),(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(280,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(229,1),(295,1),(296,1)}
       264:{1,5}:{(228,1),(230,1)}
       265:{1,4,7}:{(229,1),(230,1),(232,1),(296,1)}
       266:{1,2,4,6}:{(230,1),(231,1),(233,1),(284,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       267:{1,3}:{(231,1),(285,1)}
       268:{1,2,7}:{(232,1),(233,1),(293,1)}
       269:{1,4,6}:{(234,1),(235,1),(246,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(237,1),(247,1),(300,1),(301,1)}
       271:{2,5}:{(236,1),(238,1),(302,1)}
       272:{2,4,7}:{(237,1),(238,1),(240,1),(301,1),(303,1)}
       273:{1,4,6}:{(238,1),(239,1),(241,1),(302,1),(303,1),(347,1)}
       274:{1,2,4}:{(239,1),(242,1),(251,1),(305,1)}
       275:{1,3,7}:{(240,1),(241,1),(303,1),(306,1)}
       276:{1,2,6}:{(241,1),(242,1),(259,1),(306,1)}
       277:{4,6}:{(243,1),(244,1)}
       278:{3,4,5,7}:{(244,1),(245,1),(247,1),(253,1),(308,1),(309,1),(316,1),(379,1),(390,1)}
       279:{2,4,5}:{(245,1),(248,1),(254,1),(310,1),(357,1)}
       280:{3,6}:{(246,1),(247,1)}
       281:{2,3,5,7}:{(247,1),(248,1),(249,1),(263,1),(301,1),(309,1),(311,1),(312,1)}
       282:{1,3,5}:{(248,1),(250,1),(264,1),(302,1),(310,1),(313,1),(354,1),(382,1),(388,1),(390,1)}
       283:{1,3,4,7}:{(249,1),(250,1),(258,1),(265,1),(303,1),(312,1),(314,1),(318,1),(325,1),(350,1),(360,1),(362,1),(376,1),(379,1)}
       284:{2,4,6}:{(250,1),(251,1),(259,1),(313,1),(314,1),(315,1),(355,1),(357,1)}
       285:{2,3}:{(251,1),(267,1),(305,1)}
       286:{4,5,7}:{(252,1),(307,1),(316,1)}
       287:{3,4,6,7}:{(252,1),(253,1),(255,1),(308,1),(316,1),(317,1)}
       288:{2,4,7}:{(253,1),(254,1),(256,1),(318,1)}
       289:{1,4,6}:{(254,1),(257,1),(310,1),(318,1),(319,1),(389,1)}
       290:{2,3,6,7}:{(255,1),(256,1),(260,1),(311,1),(317,1),(320,1)}
       291:{1,3,5,7}:{(256,1),(257,1),(258,1),(261,1),(318,1),(320,1),(321,1),(358,1),(360,1),(381,1)}
       292:{2,5,6}:{(257,1),(259,1),(313,1),(319,1),(321,1),(355,1)}
       293:{2,7}:{(258,1),(259,1)}
       294:{1,6,7}:{(260,1),(261,1),(322,1),(347,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(265,1),(322,1)}
       297:{1,2,5}:{(264,1),(266,1),(313,1),(324,1),(382,1)}
       298:{1,2,4,7}:{(265,1),(266,1),(268,1),(314,1),(323,1),(325,1),(362,1)}
       299:{1,3,6}:{(266,1),(267,1),(315,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(280,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(272,1),(326,1),(327,1)}
       302:{1,5}:{(271,1),(273,1)}
       303:{1,4,7}:{(272,1),(273,1),(275,1),(327,1)}
       304:{1,2,4,6}:{(273,1),(274,1),(276,1),(284,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       305:{1,3}:{(274,1),(285,1)}
       306:{1,2,7}:{(275,1),(276,1),(293,1)}
       307:{4,5,6}:{(277,1),(286,1),(331,1),(391,1)}
       308:{3,4,6}:{(277,1),(278,1),(280,1),(331,1),(332,1)}
       309:{2,4,5,7}:{(278,1),(279,1),(281,1),(288,1),(332,1),(333,1),(339,1),(371,1),(386,1)}
       310:{1,4,5}:{(279,1),(282,1),(289,1),(334,1),(346,1),(365,1),(391,1)}
       311:{2,3,6}:{(280,1),(281,1),(295,1),(326,1),(332,1),(335,1)}
       312:{1,3,5,7}:{(281,1),(282,1),(283,1),(296,1),(327,1),(333,1),(335,1),(336,1),(368,1)}
       313:{2,5}:{(282,1),(284,1)}
       314:{2,4,7}:{(283,1),(284,1),(293,1),(336,1),(338,1)}
       315:{2,3,6}:{(284,1),(285,1),(299,1),(330,1),(337,1),(338,1),(342,1)}
       316:{3,5,7}:{(286,1),(287,1),(331,1),(339,1)}
       317:{2,4,6,7}:{(287,1),(288,1),(290,1),(332,1),(339,1),(340,1)}
       318:{1,4,7}:{(288,1),(289,1),(291,1),(341,1),(387,1)}
       319:{2,4,6}:{(289,1),(292,1),(334,1),(341,1),(342,1)}
       320:{1,3,6,7}:{(290,1),(291,1),(294,1),(335,1),(340,1),(343,1),(373,1)}
       321:{2,5,7}:{(291,1),(292,1),(293,1),(341,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(336,1),(344,1),(345,1)}
       324:{1,3,5}:{(297,1),(299,1),(337,1),(346,1)}
       325:{1,3,7}:{(298,1),(299,1),(338,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(303,1),(347,1)}
       328:{1,2,5}:{(302,1),(304,1),(313,1),(349,1),(388,1)}
       329:{1,2,4,7}:{(303,1),(304,1),(306,1),(314,1),(348,1),(350,1),(376,1)}
       330:{1,3,6}:{(304,1),(305,1),(315,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(316,1),(351,1),(390,1)}
       332:{2,4,6}:{(308,1),(309,1),(311,1),(351,1),(352,1)}
       333:{1,4,5,7}:{(309,1),(310,1),(312,1),(318,1),(352,1),(353,1),(358,1),(362,1),(376,1),(382,1),(388,1)}
       334:{2,4,5}:{(310,1),(313,1),(319,1),(354,1),(357,1)}
       335:{1,3,6}:{(311,1),(312,1),(322,1),(347,1),(352,1),(355,1),(378,1)}
       336:{2,5,7}:{(312,1),(313,1),(314,1),(355,1)}
       337:{2,3,5}:{(313,1),(315,1),(324,1),(349,1),(354,1),(357,1)}
       338:{2,3,7}:{(314,1),(315,1),(325,1),(350,1),(360,1)}
       339:{2,5,7}:{(316,1),(317,1),(351,1),(358,1)}
       340:{1,4,6,7}:{(317,1),(318,1),(320,1),(352,1),(358,1),(359,1)}
       341:{2,4,7}:{(318,1),(319,1),(321,1),(360,1)}
       342:{3,6}:{(319,1),(354,1),(360,1)}
       343:{2,6,7}:{(320,1),(321,1),(355,1)}
       344:{1,2,6}:{(322,1),(323,1),(355,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(356,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(324,1),(357,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(336,1),(363,1),(364,1)}
       349:{1,3,5}:{(328,1),(330,1),(337,1),(365,1)}
       350:{1,3,7}:{(329,1),(330,1),(338,1)}
       351:{2,5,6}:{(331,1),(332,1),(339,1),(366,1),(386,1)}
       352:{1,4,6}:{(332,1),(333,1),(335,1),(366,1),(367,1)}
       353:{2,4,5,7}:{(333,1),(334,1),(336,1),(341,1),(367,1),(368,1),(371,1),(372,1),(386,1),(387,1),(391,1)}
       354:{3,5}:{(334,1),(342,1),(369,1)}
       355:{2,6}:{(335,1),(336,1)}
       356:{2,3,5,7}:{(336,1),(337,1),(338,1),(345,1),(364,1),(368,1),(370,1),(371,1),(386,1)}
       357:{2,4}:{(337,1),(346,1),(365,1),(369,1)}
       358:{1,5,7}:{(339,1),(340,1),(366,1),(372,1)}
       359:{2,4,6,7}:{(340,1),(341,1),(343,1),(367,1),(372,1),(373,1),(387,1)}
       360:{3,7}:{(341,1),(342,1)}
       361:{1,3,6}:{(344,1),(345,1),(370,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(371,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(355,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(356,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(349,1),(357,1)}
       366:{1,5,6}:{(351,1),(352,1),(358,1),(377,1),(382,1),(388,1)}
       367:{2,4,6}:{(352,1),(353,1),(355,1),(377,1),(378,1),(389,1)}
       368:{3,5,7}:{(353,1),(354,1),(360,1),(378,1),(379,1),(390,1)}
       369:{3,4}:{(354,1),(357,1)}
       370:{2,3,6}:{(355,1),(356,1),(361,1),(375,1),(378,1),(380,1)}
       371:{2,4,7}:{(356,1),(357,1),(362,1),(376,1),(379,1),(380,1)}
       372:{2,5,7}:{(358,1),(359,1),(377,1),(381,1)}
       373:{3,6,7}:{(359,1),(360,1),(378,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(380,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(370,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(371,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(372,1),(384,1),(386,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{3,4,7}:{(368,1),(369,1),(371,1),(385,1),(387,1)}
       380:{2,4,6}:{(370,1),(371,1),(374,1),(383,1),(385,1),(386,1)}
       381:{3,5,7}:{(372,1),(373,1),(384,1),(387,1)}
       382:{1,5}:{(374,1),(386,1)}
       383:{1,4,6}:{(375,1),(376,1),(380,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(381,1),(389,1),(390,1)}
       385:{3,4,6}:{(378,1),(379,1),(380,1),(389,1),(390,1)}
       386:{2,5}:{(380,1),(382,1),(388,1),(390,1)}
       387:{4,7}:{(381,1),(389,1)}
       388:{1,5}:{(383,1),(386,1)}
       389:{4,6}:{(384,1),(387,1),(391,1)}
       390:{3,5}:{(385,1),(386,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 678 :  0:{2,3,4}:{(2,1),(3,1),(20,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(54,1),(78,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
        3:{1,3,4}:{(0,1),(7,1),(9,1),(11,1),(24,1),(34,1),(51,1),(54,1)}
        4:{1,2,4}:{(9,1),(10,1),(11,1),(34,1)}
        5:{2,4,5}:{(1,1),(2,1),(13,1),(14,1),(46,1),(73,1)}
        6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1)}
        7:{1,3,5}:{(2,1),(3,1),(13,1),(17,1),(18,1),(39,1)}
        8:{2,3,6}:{(2,1),(14,1),(18,1),(19,1)}
        9:{2,4}:{(3,1),(17,1),(20,1)}
       10:{1,2,5}:{(4,1),(17,1),(21,1),(22,1)}
       11:{1,3}:{(4,1),(20,1)}
       12:{1,2,4}:{(9,1),(23,1),(24,1),(51,1)}
       13:{1,4,5}:{(5,1),(7,1),(25,1),(26,1),(34,1),(51,1),(63,1),(76,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(26,1),(27,1),(28,1)}
       15:{3,5,6}:{(6,1),(27,1),(29,1),(30,1),(78,1),(93,1)}
       16:{3,4,7}:{(6,1),(28,1),(30,1)}
       17:{2,5}:{(7,1),(9,1),(32,1)}
       18:{1,3,6}:{(7,1),(8,1),(26,1),(32,1),(33,1),(55,1)}
       19:{2,3,7}:{(8,1),(28,1),(33,1)}
       20:{2,3}:{(9,1),(11,1),(24,1)}
       21:{1,3,5}:{(10,1),(11,1),(31,1),(34,1),(35,1),(63,1)}
       22:{1,2,6}:{(10,1),(32,1),(35,1),(36,1)}
       23:{1,2,5}:{(12,1),(17,1),(37,1),(38,1)}
       24:{1,3}:{(12,1),(20,1)}
       25:{2,4,5}:{(13,1),(17,1),(39,1),(40,1),(46,1),(73,1),(86,1)}
       26:{1,4,6}:{(13,1),(14,1),(18,1),(40,1),(41,1),(42,1)}
       27:{2,5,6}:{(14,1),(15,1),(41,1),(43,1),(73,1),(90,1)}
       28:{2,4,7}:{(14,1),(16,1),(19,1),(42,1),(43,1)}
       29:{4,5,6}:{(15,1),(44,1),(86,1),(95,1)}
       30:{3,5,7}:{(15,1),(16,1),(43,1),(44,1),(45,1)}
       31:{2,3,5}:{(17,1),(20,1),(21,1),(37,1),(39,1),(46,1),(47,1),(73,1)}
       32:{2,6}:{(17,1),(18,1),(48,1)}
       33:{1,3,7}:{(18,1),(19,1),(42,1),(48,1),(69,1)}
       34:{1,4}:{(21,1),(46,1)}
       35:{1,3,6}:{(21,1),(22,1),(47,1),(49,1),(50,1)}
       36:{1,2,7}:{(22,1),(48,1),(50,1)}
       37:{1,3,5}:{(23,1),(24,1),(31,1),(51,1),(52,1),(76,1)}
       38:{1,2,6}:{(23,1),(32,1),(52,1),(53,1)}
       39:{3,5}:{(25,1),(54,1),(55,1)}
       40:{2,4,6}:{(25,1),(26,1),(32,1),(55,1),(56,1),(57,1),(80,1)}
       41:{1,5,6}:{(26,1),(27,1),(56,1),(58,1),(63,1),(76,1),(84,1),(91,1)}
       42:{1,4,7}:{(26,1),(28,1),(33,1),(57,1),(58,1)}
       43:{2,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1)}
       44:{4,5,7}:{(29,1),(30,1),(60,1)}
       45:{3,6,7}:{(30,1),(59,1),(60,1),(93,1)}
       46:{2,4}:{(31,1),(34,1),(51,1),(54,1)}
       47:{2,3,6}:{(31,1),(32,1),(35,1),(52,1),(55,1),(61,1),(62,1)}
       48:{2,7}:{(32,1),(33,1)}
       49:{1,4,6}:{(34,1),(35,1),(61,1),(63,1),(64,1),(84,1)}
       50:{1,3,7}:{(35,1),(36,1),(62,1),(64,1)}
       51:{1,4}:{(37,1),(46,1)}
       52:{1,3,6}:{(37,1),(38,1),(47,1),(65,1),(66,1)}
       53:{1,2,7}:{(38,1),(48,1),(66,1)}
       54:{3,4}:{(39,1),(46,1)}
       55:{3,6}:{(39,1),(40,1),(69,1)}
       56:{2,5,6}:{(40,1),(41,1),(68,1),(70,1),(73,1),(90,1)}
       57:{2,4,7}:{(40,1),(42,1),(48,1),(69,1),(70,1),(88,1)}
       58:{1,5,7}:{(41,1),(42,1),(43,1),(70,1),(71,1)}
       59:{2,6,7}:{(43,1),(45,1),(71,1),(90,1)}
       60:{4,6,7}:{(44,1),(45,1),(72,1),(95,1)}
       61:{2,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(73,1),(74,1),(90,1)}
       62:{2,3,7}:{(47,1),(48,1),(50,1),(66,1),(69,1),(74,1)}
       63:{1,5}:{(49,1),(73,1)}
       64:{1,4,7}:{(49,1),(50,1),(74,1),(75,1)}
       65:{1,4,6}:{(51,1),(52,1),(61,1),(76,1),(77,1),(91,1)}
       66:{1,3,7}:{(52,1),(53,1),(62,1),(77,1)}
       67:{3,4,6}:{(54,1),(55,1),(61,1),(78,1),(79,1),(80,1),(93,1)}
       68:{3,5,6}:{(55,1),(56,1),(78,1),(80,1),(81,1),(93,1),(97,1)}
       69:{3,7}:{(55,1),(57,1)}
       70:{2,5,7}:{(56,1),(57,1),(58,1),(81,1),(82,1)}
       71:{1,6,7}:{(58,1),(59,1),(82,1),(84,1),(91,1)}
       72:{5,6,7}:{(60,1),(97,1)}
       73:{2,5}:{(61,1),(63,1),(76,1),(78,1)}
       74:{2,4,7}:{(61,1),(62,1),(64,1),(77,1),(79,1),(83,1)}
       75:{1,5,7}:{(63,1),(64,1),(83,1),(84,1)}
       76:{1,5}:{(65,1),(73,1)}
       77:{1,4,7}:{(65,1),(66,1),(74,1),(85,1)}
       78:{3,5}:{(67,1),(73,1),(86,1)}
       79:{3,4,7}:{(67,1),(69,1),(74,1),(87,1),(88,1)}
       80:{4,6}:{(68,1),(86,1),(88,1)}
       81:{3,5,7}:{(68,1),(69,1),(70,1),(88,1),(89,1),(96,1)}
       82:{2,6,7}:{(70,1),(71,1),(89,1),(90,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(87,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(80,1)}
       87:{3,5,7}:{(78,1),(79,1),(83,1),(92,1),(93,1)}
       88:{4,7}:{(80,1),(81,1)}
       89:{3,6,7}:{(81,1),(82,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(93,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(88,1),(95,1),(96,1)}
       93:{3,6}:{(87,1),(90,1),(95,1)}
       94:{4,6,7}:{(88,1),(89,1),(95,1),(96,1)}
       95:{4,6}:{(92,1),(93,1),(97,1)}
       96:{5,7}:{(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 679 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 680 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 681 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 682 :   0:{1,3,4,5}:{(2,1),(3,1),(11,1),(17,1),(49,1),(142,1),(144,1),(253,1)}
         1:{1,2,4,5}:{(4,1),(5,1),(7,1),(25,1),(34,1),(76,1),(80,1),(82,1),(84,1),(159,1),(176,1),(194,1),(279,1),(292,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(82,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(35,1),(101,1),(103,1),(201,1)}
         4:{1,3,5}:{(1,1),(11,1),(12,1),(13,1),(123,1),(253,1),(332,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(14,1),(15,1),(19,1),(48,1),(55,1),(62,1),(118,1),(147,1),(214,1),(323,1)}
         6:{2,3,5}:{(2,1),(16,1),(17,1),(18,1),(253,1)}
         7:{1,4,5}:{(2,1),(17,1),(19,1),(47,1),(125,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(20,1),(21,1),(62,1)}
         9:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(49,1),(69,1),(130,1)}
        10:{1,3,4,7}:{(3,1),(21,1),(23,1),(64,1),(150,1),(152,1),(261,1)}
        11:{1,3,4}:{(4,1),(25,1),(292,1),(307,1),(375,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(28,1),(34,1),(82,1),(93,1),(159,1),(163,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(30,1),(201,1),(367,1)}
        14:{1,2,5,6}:{(5,1),(29,1),(31,1),(38,1),(82,1),(99,1),(169,1),(176,1),(182,1),(270,1),(295,1),(395,1)}
        15:{1,2,4,7}:{(5,1),(30,1),(31,1),(39,1),(83,1),(91,1),(100,1),(170,1),(202,1),(271,1),(368,1)}
        16:{2,3,4}:{(6,1),(25,1),(32,1),(163,1),(307,1)}
        17:{1,3,5}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(37,1),(201,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(38,1),(39,1)}
        20:{2,5,6}:{(8,1),(9,1),(38,1),(41,1),(82,1),(182,1)}
        21:{2,4,7}:{(8,1),(10,1),(37,1),(39,1),(41,1),(100,1)}
        22:{1,4,5,6}:{(9,1),(40,1),(42,1),(84,1),(101,1),(183,1),(209,1),(314,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(109,1)}
        24:{1,3,4,5}:{(11,1),(45,1),(46,1),(49,1),(112,1),(222,1),(224,1),(332,1)}
        25:{2,4}:{(11,1),(12,1),(47,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(49,1),(50,1),(55,1),(130,1),(135,1)}
        27:{1,3,5}:{(12,1),(47,1),(51,1),(52,1),(123,1),(125,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(54,1),(62,1),(214,1)}
        29:{1,3,5,6}:{(13,1),(14,1),(49,1),(53,1),(55,1),(56,1),(130,1),(233,1),(242,1),(346,1),(348,1),(353,1),(422,1),(424,1)}
        30:{1,3,7}:{(13,1),(15,1),(54,1),(261,1),(405,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(56,1),(57,1),(68,1),(128,1),(148,1),(228,1),(324,1),(425,1)}
        32:{1,3,4}:{(16,1),(17,1),(47,1),(58,1),(123,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(59,1),(60,1),(61,1),(65,1),(135,1),(146,1),(219,1),(246,1),(260,1),(330,1),(357,1),(413,1)}
        34:{2,5}:{(17,1),(58,1),(62,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(62,1),(64,1)}
        36:{2,3,5,6}:{(18,1),(20,1),(60,1),(63,1),(65,1),(66,1),(69,1),(146,1),(154,1),(259,1),(260,1)}
        37:{2,3,7}:{(18,1),(21,1),(64,1),(261,1)}
        38:{1,5,6}:{(19,1),(20,1),(68,1),(125,1),(239,1)}
        39:{1,4,7}:{(19,1),(21,1),(64,1),(68,1)}
        40:{2,4,5,6}:{(20,1),(22,1),(65,1),(67,1),(69,1),(70,1),(127,1),(147,1),(154,1),(241,1),(259,1),(362,1),(363,1),(428,1)}
        41:{2,5,7}:{(20,1),(21,1),(23,1),(68,1),(71,1)}
        42:{1,4,5,7}:{(22,1),(23,1),(70,1),(72,1),(150,1),(265,1),(267,1)}
        43:{1,3,6,7}:{(23,1),(71,1),(72,1),(130,1),(157,1)}
        44:{2,3,4}:{(25,1),(73,1),(74,1),(93,1),(375,1)}
        45:{2,4,5}:{(24,1),(25,1),(73,1),(76,1),(77,1),(82,1),(159,1)}
        46:{1,3,4,6}:{(24,1),(77,1),(78,1),(79,1),(160,1),(272,1),(274,1),(367,1)}
        47:{1,4}:{(25,1),(27,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(81,1),(82,1),(83,1),(182,1)}
        49:{1,3,5}:{(26,1),(82,1),(84,1),(180,1)}
        50:{1,3,4,7}:{(26,1),(30,1),(83,1),(85,1),(91,1),(189,1)}
        51:{1,2,5}:{(27,1),(34,1),(80,1),(86,1),(159,1)}
        52:{1,3,6}:{(27,1),(28,1),(81,1),(86,1),(88,1)}
        53:{2,3,5,6}:{(28,1),(29,1),(82,1),(87,1),(89,1),(90,1),(99,1),(180,1),(182,1),(192,1),(201,1),(270,1),(277,1),(296,1),(299,1),(300,1),(301,1),(309,1),(367,1),(377,1),(393,1),(399,1),(401,1),(437,1),(439,1)}
        54:{2,3,7}:{(28,1),(30,1),(83,1),(88,1),(100,1),(271,1)}
        55:{1,4,6}:{(29,1),(84,1),(89,1),(91,1),(292,1)}
        56:{1,3,5,7}:{(29,1),(30,1),(31,1),(90,1),(91,1),(92,1),(191,1),(392,1),(396,1)}
        57:{1,2,6,7}:{(31,1),(92,1),(108,1),(182,1),(203,1),(288,1),(295,1),(369,1)}
        58:{2,4}:{(32,1),(34,1),(93,1)}
        59:{1,3,4,6}:{(32,1),(33,1),(35,1),(81,1),(94,1),(95,1),(96,1),(101,1),(175,1),(198,1),(201,1),(292,1),(303,1),(307,1),(316,1),(390,1),(397,1),(398,1)}
        60:{2,3,5}:{(33,1),(82,1),(95,1),(97,1),(180,1),(296,1),(437,1)}
        61:{2,3,4,7}:{(33,1),(37,1),(83,1),(96,1),(98,1),(104,1),(189,1),(278,1),(304,1),(317,1),(376,1)}
        62:{2,6}:{(34,1),(35,1),(100,1)}
        63:{1,3,5,6}:{(35,1),(36,1),(38,1),(95,1),(99,1),(101,1),(102,1),(198,1),(201,1),(209,1),(314,1),(316,1),(401,1)}
        64:{1,3,7}:{(35,1),(37,1),(39,1),(100,1)}
        65:{2,4,6}:{(36,1),(97,1),(101,1),(103,1),(104,1)}
        66:{2,3,5,7}:{(36,1),(37,1),(41,1),(102,1),(104,1),(105,1),(109,1),(208,1),(210,1),(317,1)}
        67:{1,4,5,6}:{(38,1),(40,1),(101,1),(106,1),(107,1),(178,1),(298,1),(314,1)}
        68:{1,5,7}:{(38,1),(39,1),(41,1),(108,1)}
        69:{3,5,6}:{(40,1),(103,1),(109,1),(180,1),(201,1),(299,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(104,1),(107,1),(109,1),(110,1),(202,1),(208,1),(210,1),(319,1),(321,1),(403,1)}
        71:{2,6,7}:{(41,1),(43,1),(108,1),(182,1)}
        72:{1,4,6,7}:{(42,1),(43,1),(110,1),(111,1),(183,1),(322,1)}
        73:{2,3,5}:{(44,1),(45,1),(112,1),(113,1),(332,1)}
        74:{1,3,4}:{(44,1),(47,1),(112,1),(114,1),(123,1)}
        75:{2,3,4,6}:{(44,1),(48,1),(113,1),(115,1),(116,1),(117,1),(135,1),(139,1),(217,1),(226,1),(246,1),(251,1),(359,1),(404,1),(411,1)}
        76:{1,4,5}:{(45,1),(47,1),(112,1),(118,1),(125,1)}
        77:{2,4,6}:{(45,1),(46,1),(113,1),(118,1),(119,1),(120,1),(214,1)}
        78:{1,3,5,6}:{(46,1),(49,1),(119,1),(121,1),(122,1),(130,1),(229,1)}
        79:{1,3,4,7}:{(46,1),(120,1),(122,1),(216,1),(326,1),(328,1),(405,1)}
        80:{1,2,4}:{(47,1),(51,1),(58,1),(114,1),(123,1)}
        81:{1,4,6}:{(47,1),(48,1),(52,1),(125,1),(126,1),(239,1)}
        82:{2,5}:{(48,1),(49,1),(125,1)}
        83:{2,4,7}:{(48,1),(50,1),(54,1),(126,1),(128,1)}
        84:{1,4,5}:{(49,1),(55,1),(127,1),(348,1),(422,1)}
        85:{1,3,5,7}:{(49,1),(50,1),(128,1),(129,1),(130,1),(240,1)}
        86:{1,2,6}:{(51,1),(52,1),(62,1),(132,1),(214,1)}
        87:{1,3,5,6}:{(52,1),(53,1),(125,1),(131,1),(133,1),(134,1),(233,1),(237,1),(239,1),(243,1),(346,1),(350,1),(351,1),(422,1)}
        88:{1,3,7}:{(52,1),(54,1),(126,1),(132,1)}
        89:{2,4,6}:{(53,1),(55,1),(127,1),(133,1),(135,1),(136,1),(251,1),(330,1),(428,1),(449,1)}
        90:{2,3,5,7}:{(53,1),(54,1),(56,1),(128,1),(134,1),(136,1),(137,1),(148,1),(240,1),(250,1),(261,1),(324,1),(349,1),(354,1),(366,1),(405,1),(446,1)}
        91:{1,4,7}:{(55,1),(56,1),(136,1)}
        92:{1,3,6,7}:{(56,1),(57,1),(130,1),(137,1),(138,1),(346,1),(424,1)}
        93:{2,3}:{(58,1),(123,1)}
        94:{2,4,6}:{(58,1),(59,1),(62,1),(139,1),(140,1),(141,1),(251,1),(255,1),(364,1),(426,1)}
        95:{1,3,5}:{(59,1),(60,1),(125,1),(140,1),(142,1),(253,1),(348,1),(422,1),(427,1)}
        96:{1,3,4,7}:{(59,1),(61,1),(64,1),(126,1),(141,1),(143,1),(150,1),(234,1),(261,1),(345,1),(355,1),(358,1),(365,1)}
        97:{2,4,5}:{(60,1),(65,1),(142,1),(144,1),(330,1)}
        98:{2,3,5,7}:{(60,1),(61,1),(128,1),(143,1),(145,1),(146,1),(240,1),(349,1)}
        99:{2,5,6}:{(62,1),(63,1),(140,1),(147,1),(148,1),(255,1),(364,1)}
       100:{2,7}:{(62,1),(64,1)}
       101:{1,4,6}:{(63,1),(65,1),(142,1),(147,1),(150,1),(428,1)}
       102:{1,3,5,7}:{(63,1),(64,1),(66,1),(68,1),(148,1),(150,1),(151,1),(261,1),(265,1),(267,1),(365,1),(366,1)}
       103:{3,4,6}:{(65,1),(69,1),(144,1),(152,1),(428,1)}
       104:{2,4,7}:{(65,1),(66,1),(150,1),(152,1)}
       105:{2,3,6,7}:{(66,1),(71,1),(146,1),(151,1),(153,1),(157,1),(268,1)}
       106:{1,3,5,6}:{(67,1),(69,1),(149,1),(154,1),(155,1),(237,1),(350,1)}
       107:{1,4,5,7}:{(67,1),(68,1),(70,1),(150,1),(155,1),(156,1),(265,1)}
       108:{1,6,7}:{(68,1),(71,1),(239,1)}
       109:{3,5,7}:{(69,1),(70,1),(152,1),(157,1),(261,1)}
       110:{2,4,6,7}:{(70,1),(71,1),(72,1),(156,1),(157,1),(158,1),(241,1),(268,1),(269,1)}
       111:{1,5,6,7}:{(72,1),(158,1),(242,1),(265,1)}
       112:{1,3,5}:{(73,1),(74,1),(76,1),(159,1),(160,1)}
       113:{2,3,6}:{(73,1),(77,1),(160,1),(162,1),(367,1)}
       114:{2,4}:{(74,1),(159,1),(163,1)}
       115:{1,3,4,6}:{(74,1),(75,1),(81,1),(160,1),(164,1),(165,1),(166,1),(175,1),(272,1),(283,1),(292,1),(303,1),(367,1),(375,1),(390,1),(429,1),(435,1),(436,1)}
       116:{2,3,5}:{(75,1),(82,1),(165,1),(167,1),(180,1),(296,1),(399,1)}
       117:{2,3,4,7}:{(75,1),(83,1),(162,1),(166,1),(168,1),(189,1),(193,1),(275,1),(304,1),(308,1),(430,1)}
       118:{1,4,6}:{(76,1),(77,1),(160,1),(169,1),(170,1)}
       119:{2,5,6}:{(77,1),(78,1),(82,1),(169,1),(172,1),(182,1)}
       120:{2,4,7}:{(77,1),(79,1),(162,1),(170,1),(172,1),(271,1)}
       121:{1,4,5,6}:{(78,1),(84,1),(171,1),(173,1),(183,1),(272,1),(382,1),(384,1)}
       122:{1,3,5,7}:{(78,1),(79,1),(172,1),(173,1),(174,1),(289,1)}
       123:{1,3}:{(80,1),(93,1),(163,1)}
       124:{1,2,4,6}:{(80,1),(81,1),(86,1),(94,1),(164,1),(175,1),(176,1),(177,1),(292,1),(295,1),(303,1),(390,1),(395,1),(441,1)}
       125:{1,5}:{(81,1),(82,1)}
       126:{1,4,7}:{(81,1),(83,1),(88,1),(179,1)}
       127:{2,4,5}:{(82,1),(84,1),(89,1),(178,1),(180,1),(296,1),(399,1),(437,1),(443,1),(454,1)}
       128:{2,5,7}:{(82,1),(83,1),(85,1),(179,1),(182,1)}
       129:{1,4,5,7}:{(84,1),(85,1),(91,1),(181,1),(183,1),(191,1),(392,1)}
       130:{1,3,6}:{(85,1),(182,1),(183,1),(299,1)}
       131:{1,2,5,6}:{(86,1),(87,1),(99,1),(176,1),(184,1),(185,1),(209,1),(270,1),(295,1),(296,1),(384,1),(393,1)}
       132:{1,2,7}:{(86,1),(88,1),(100,1),(271,1)}
       133:{1,4,6}:{(87,1),(89,1),(178,1),(187,1),(292,1)}
       134:{1,3,5,7}:{(87,1),(88,1),(90,1),(179,1),(185,1),(187,1),(188,1),(302,1),(305,1)}
       135:{3,4,6}:{(89,1),(180,1),(189,1),(201,1),(299,1),(307,1),(367,1),(375,1)}
       136:{2,4,7}:{(89,1),(90,1),(91,1),(187,1),(189,1),(403,1),(452,1)}
       137:{2,3,6,7}:{(90,1),(92,1),(182,1),(188,1),(190,1),(203,1),(299,1),(309,1),(318,1),(369,1),(377,1),(393,1),(431,1)}
       138:{1,4,6,7}:{(91,1),(92,1),(183,1),(190,1),(191,1),(390,1)}
       139:{2,3,6}:{(93,1),(94,1),(175,1),(192,1),(193,1),(201,1),(442,1)}
       140:{2,5}:{(94,1),(95,1)}
       141:{2,4,7}:{(94,1),(96,1),(100,1),(193,1),(195,1),(402,1)}
       142:{1,4,5}:{(95,1),(97,1),(101,1),(194,1),(292,1),(443,1)}
       143:{1,3,5,7}:{(95,1),(96,1),(98,1),(179,1),(195,1),(197,1),(198,1),(311,1),(392,1)}
       144:{3,4,5}:{(97,1),(103,1),(180,1),(375,1),(443,1)}
       145:{2,4,5,7}:{(97,1),(98,1),(104,1),(197,1),(199,1),(200,1),(208,1),(376,1),(437,1)}
       146:{2,3,6}:{(98,1),(182,1),(198,1),(200,1),(299,1),(393,1)}
       147:{2,4,6}:{(99,1),(101,1),(194,1),(201,1),(202,1)}
       148:{2,5,7}:{(99,1),(100,1),(102,1),(202,1),(203,1),(402,1)}
       149:{1,3,4,6}:{(101,1),(103,1),(106,1),(196,1),(201,1),(204,1),(205,1),(316,1)}
       150:{1,4,7}:{(101,1),(102,1),(104,1),(202,1),(403,1)}
       151:{1,3,6,7}:{(102,1),(105,1),(108,1),(198,1),(203,1),(206,1),(318,1),(322,1)}
       152:{3,4,7}:{(103,1),(104,1),(109,1),(403,1)}
       153:{2,4,6,7}:{(104,1),(105,1),(200,1),(206,1),(207,1),(208,1)}
       154:{2,5,6}:{(106,1),(204,1),(209,1),(210,1),(296,1),(393,1)}
       155:{1,3,5,7}:{(106,1),(107,1),(109,1),(205,1),(210,1),(211,1)}
       156:{1,4,6,7}:{(107,1),(108,1),(110,1),(211,1),(212,1),(298,1)}
       157:{3,6,7}:{(109,1),(110,1),(299,1)}
       158:{2,5,6,7}:{(110,1),(111,1),(208,1),(212,1),(213,1),(300,1),(319,1)}
       159:{2,5}:{(112,1),(114,1),(214,1)}
       160:{1,3,6}:{(112,1),(113,1),(118,1),(214,1),(216,1)}
       161:{2,3,5,6}:{(113,1),(116,1),(119,1),(215,1),(217,1),(218,1),(226,1),(229,1),(338,1),(339,1),(404,1)}
       162:{2,3,7}:{(113,1),(120,1),(216,1),(405,1)}
       163:{2,3}:{(114,1),(123,1)}
       164:{2,4,6}:{(114,1),(115,1),(214,1),(219,1),(220,1),(221,1),(330,1),(334,1),(444,1),(447,1)}
       165:{1,3,5}:{(115,1),(116,1),(125,1),(220,1),(222,1),(332,1),(348,1),(422,1),(448,1)}
       166:{1,3,4,7}:{(115,1),(117,1),(126,1),(216,1),(221,1),(223,1),(234,1),(326,1),(345,1),(355,1),(405,1),(412,1),(445,1)}
       167:{2,4,5}:{(116,1),(217,1),(222,1),(224,1),(251,1)}
       168:{2,3,5,7}:{(116,1),(117,1),(128,1),(223,1),(225,1),(226,1),(240,1),(349,1)}
       169:{1,5,6}:{(118,1),(119,1),(125,1),(228,1),(239,1)}
       170:{1,4,7}:{(118,1),(120,1),(216,1),(228,1)}
       171:{2,4,5,6}:{(119,1),(121,1),(127,1),(217,1),(227,1),(229,1),(230,1),(241,1),(323,1),(338,1),(339,1),(416,1),(417,1),(449,1)}
       172:{2,5,7}:{(119,1),(120,1),(122,1),(228,1),(231,1)}
       173:{1,4,5,7}:{(121,1),(122,1),(230,1),(232,1),(326,1),(409,1),(418,1)}
       174:{1,3,6,7}:{(122,1),(130,1),(231,1),(232,1),(342,1)}
       175:{1,3,6}:{(123,1),(124,1),(139,1),(219,1),(233,1),(234,1),(450,1)}
       176:{1,2,5}:{(124,1),(125,1),(140,1),(220,1),(233,1),(348,1),(422,1)}
       177:{1,2,4,7}:{(124,1),(126,1),(132,1),(141,1),(221,1),(234,1),(236,1),(345,1),(355,1),(425,1)}
       178:{1,4,5}:{(125,1),(127,1),(133,1),(237,1),(422,1)}
       179:{1,5,7}:{(125,1),(126,1),(128,1),(239,1)}
       180:{3,5}:{(127,1),(135,1)}
       181:{2,4,5,7}:{(127,1),(128,1),(129,1),(136,1),(238,1),(240,1),(241,1),(250,1),(349,1),(356,1)}
       182:{2,6}:{(128,1),(130,1),(239,1)}
       183:{1,4,6}:{(129,1),(130,1),(241,1),(242,1),(424,1)}
       184:{1,2,4,6}:{(131,1),(133,1),(147,1),(235,1),(243,1),(244,1),(246,1),(263,1),(323,1),(364,1),(407,1),(444,1)}
       185:{1,2,5,7}:{(131,1),(132,1),(134,1),(148,1),(244,1),(245,1),(267,1),(324,1),(349,1),(418,1)}
       186:{1,3,4,6}:{(133,1),(135,1),(237,1),(243,1),(246,1),(247,1),(344,1),(350,1)}
       187:{1,4,7}:{(133,1),(134,1),(136,1)}
       188:{1,3,6,7}:{(134,1),(137,1),(239,1),(245,1),(248,1),(346,1),(350,1)}
       189:{3,4,7}:{(135,1),(136,1),(240,1),(261,1),(405,1)}
       190:{2,4,6,7}:{(136,1),(137,1),(138,1),(241,1),(248,1),(249,1),(250,1),(359,1),(413,1)}
       191:{1,5,7}:{(138,1),(242,1),(250,1),(422,1)}
       192:{2,3,5}:{(139,1),(140,1),(233,1),(251,1),(253,1)}
       193:{2,3,7}:{(139,1),(141,1),(234,1),(261,1)}
       194:{2,4,5}:{(140,1),(142,1),(147,1),(251,1),(253,1)}
       195:{2,5,7}:{(140,1),(141,1),(143,1),(255,1)}
       196:{1,3,4,5}:{(142,1),(144,1),(149,1),(237,1),(253,1),(256,1),(344,1),(360,1)}
       197:{1,4,5,7}:{(142,1),(143,1),(145,1),(150,1),(254,1),(257,1),(265,1),(345,1),(422,1)}
       198:{1,3,6}:{(143,1),(146,1),(239,1),(255,1),(257,1),(361,1),(424,1)}
       199:{3,4,5,7}:{(144,1),(145,1),(152,1),(240,1),(258,1),(266,1),(356,1),(412,1),(448,1)}
       200:{2,4,6}:{(145,1),(146,1),(257,1),(258,1),(259,1)}
       201:{3,6}:{(147,1),(253,1),(261,1)}
       202:{2,4,7}:{(147,1),(148,1),(150,1),(261,1)}
       203:{2,6,7}:{(148,1),(151,1),(255,1)}
       204:{2,4,6}:{(149,1),(154,1),(256,1),(260,1),(263,1),(264,1),(364,1)}
       205:{1,3,4,7}:{(149,1),(150,1),(152,1),(155,1),(261,1),(264,1),(365,1)}
       206:{1,4,6,7}:{(150,1),(151,1),(153,1),(257,1),(262,1),(265,1)}
       207:{3,4,6,7}:{(152,1),(153,1),(157,1),(258,1),(266,1),(269,1)}
       208:{2,5,7}:{(153,1),(259,1),(265,1),(266,1)}
       209:{1,5,6}:{(154,1),(263,1),(267,1),(348,1),(424,1)}
       210:{2,5,7}:{(154,1),(155,1),(264,1),(267,1),(268,1)}
       211:{1,3,6,7}:{(155,1),(156,1),(157,1),(268,1),(350,1)}
       212:{1,5,6,7}:{(156,1),(158,1),(265,1),(351,1)}
       213:{3,5,6,7}:{(157,1),(158,1),(266,1),(269,1),(352,1),(366,1)}
       214:{2,6}:{(159,1),(160,1),(271,1)}
       215:{1,3,5,6}:{(160,1),(161,1),(165,1),(169,1),(270,1),(272,1),(273,1),(283,1),(367,1),(382,1),(384,1),(429,1),(439,1)}
       216:{1,3,7}:{(160,1),(162,1),(170,1),(271,1)}
       217:{2,4,6}:{(161,1),(167,1),(272,1),(274,1),(275,1)}
       218:{2,3,5,7}:{(161,1),(162,1),(172,1),(273,1),(275,1),(276,1),(289,1),(374,1),(385,1),(430,1)}
       219:{2,3,6}:{(163,1),(164,1),(175,1),(277,1),(278,1),(367,1),(453,1)}
       220:{2,5}:{(164,1),(165,1)}
       221:{2,4,7}:{(164,1),(166,1),(271,1),(278,1),(280,1),(451,1)}
       222:{1,4,5}:{(165,1),(167,1),(272,1),(279,1),(292,1),(454,1)}
       223:{1,3,5,7}:{(165,1),(166,1),(168,1),(179,1),(280,1),(282,1),(283,1),(379,1),(392,1)}
       224:{3,4,5}:{(167,1),(180,1),(274,1),(307,1),(454,1)}
       225:{2,4,5,7}:{(167,1),(168,1),(275,1),(282,1),(284,1),(285,1),(308,1),(374,1),(399,1)}
       226:{2,3,6}:{(168,1),(182,1),(283,1),(285,1),(299,1),(393,1)}
       227:{1,4,5,6}:{(169,1),(171,1),(178,1),(272,1),(286,1),(287,1),(298,1),(382,1)}
       228:{1,5,7}:{(169,1),(170,1),(172,1),(288,1)}
       229:{3,5,6}:{(171,1),(180,1),(274,1),(289,1),(299,1),(367,1)}
       230:{2,4,5,7}:{(171,1),(172,1),(173,1),(275,1),(287,1),(289,1),(290,1),(368,1),(374,1),(385,1),(432,1),(434,1),(452,1)}
       231:{2,6,7}:{(172,1),(174,1),(182,1),(288,1)}
       232:{1,4,6,7}:{(173,1),(174,1),(183,1),(290,1),(291,1),(440,1)}
       233:{1,3,5}:{(175,1),(176,1),(192,1),(277,1),(292,1)}
       234:{1,3,7}:{(175,1),(177,1),(193,1),(278,1)}
       235:{1,2,4,5}:{(176,1),(178,1),(184,1),(194,1),(279,1),(292,1),(294,1),(296,1),(313,1),(381,1),(389,1),(400,1),(438,1),(441,1)}
       236:{1,2,5,7}:{(176,1),(177,1),(179,1),(195,1),(280,1),(293,1),(295,1),(392,1)}
       237:{1,3,5}:{(178,1),(180,1),(186,1),(296,1)}
       238:{1,4,5,7}:{(178,1),(179,1),(181,1),(187,1),(297,1),(298,1),(305,1)}
       239:{1,6}:{(179,1),(182,1)}
       240:{3,5,7}:{(180,1),(181,1),(189,1),(299,1)}
       241:{2,4,6}:{(181,1),(182,1),(183,1),(298,1),(299,1),(300,1),(393,1),(394,1)}
       242:{1,5,6}:{(183,1),(191,1),(300,1)}
       243:{1,3,6}:{(184,1),(201,1),(294,1),(301,1),(302,1),(367,1)}
       244:{1,2,4,7}:{(184,1),(185,1),(187,1),(202,1),(302,1),(304,1),(320,1),(368,1),(402,1),(433,1),(451,1)}
       245:{1,2,6,7}:{(185,1),(188,1),(203,1),(295,1),(322,1),(369,1),(393,1),(440,1)}
       246:{2,4,6}:{(186,1),(296,1),(301,1),(303,1),(304,1),(389,1),(393,1)}
       247:{1,3,4,7}:{(186,1),(187,1),(189,1),(297,1),(302,1),(304,1)}
       248:{1,4,6,7}:{(187,1),(188,1),(190,1),(298,1),(305,1),(390,1)}
       249:{3,4,6,7}:{(189,1),(190,1),(299,1),(306,1),(318,1),(394,1),(398,1),(403,1),(431,1),(436,1),(452,1)}
       250:{2,5,7}:{(190,1),(191,1),(300,1),(305,1),(306,1),(399,1),(437,1)}
       251:{2,4}:{(192,1),(292,1),(307,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(195,1),(293,1),(308,1),(309,1),(311,1),(399,1)}
       253:{3,5}:{(194,1),(201,1),(307,1)}
       254:{2,4,5,7}:{(194,1),(195,1),(197,1),(202,1),(308,1),(311,1),(312,1),(319,1),(399,1),(403,1),(443,1)}
       255:{2,6}:{(195,1),(198,1)}
       256:{2,4,5}:{(196,1),(204,1),(296,1),(310,1),(313,1),(389,1),(400,1)}
       257:{1,4,6}:{(197,1),(198,1),(200,1),(312,1),(314,1)}
       258:{3,4,6}:{(199,1),(200,1),(299,1),(315,1),(394,1)}
       259:{2,5,6}:{(200,1),(208,1),(314,1),(315,1),(437,1)}
       260:{2,3,6}:{(201,1),(204,1),(310,1),(316,1),(317,1)}
       261:{3,7}:{(201,1),(202,1)}
       262:{2,4,6,7}:{(202,1),(203,1),(206,1),(312,1),(318,1),(319,1),(403,1)}
       263:{1,4,6}:{(204,1),(209,1),(313,1),(316,1),(320,1)}
       264:{2,4,7}:{(204,1),(205,1),(210,1),(317,1),(320,1),(402,1)}
       265:{1,5,7}:{(206,1),(208,1),(314,1),(319,1)}
       266:{3,5,7}:{(207,1),(208,1),(315,1),(321,1)}
       267:{1,5,7}:{(209,1),(210,1),(320,1),(322,1)}
       268:{2,6,7}:{(210,1),(211,1),(322,1),(393,1)}
       269:{4,6,7}:{(213,1),(321,1),(394,1),(403,1)}
       270:{2,5,6}:{(214,1),(215,1),(220,1),(323,1),(324,1),(334,1),(444,1)}
       271:{2,7}:{(214,1),(216,1)}
       272:{1,4,6}:{(215,1),(217,1),(222,1),(323,1),(326,1),(449,1)}
       273:{1,3,5,7}:{(215,1),(216,1),(218,1),(228,1),(324,1),(326,1),(327,1),(405,1),(409,1),(418,1),(445,1),(446,1)}
       274:{3,4,6}:{(217,1),(224,1),(229,1),(328,1),(449,1)}
       275:{2,4,7}:{(217,1),(218,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(218,1),(226,1),(231,1),(327,1),(329,1),(342,1),(419,1)}
       277:{2,3,5}:{(219,1),(220,1),(233,1),(330,1),(332,1)}
       278:{2,3,7}:{(219,1),(221,1),(234,1),(405,1)}
       279:{2,4,5}:{(220,1),(222,1),(323,1),(330,1),(332,1)}
       280:{2,5,7}:{(220,1),(221,1),(223,1),(334,1)}
       281:{1,3,4,5}:{(222,1),(224,1),(237,1),(325,1),(332,1),(335,1),(344,1),(414,1)}
       282:{1,4,5,7}:{(222,1),(223,1),(225,1),(326,1),(333,1),(336,1),(345,1),(409,1),(422,1)}
       283:{1,3,6}:{(223,1),(226,1),(239,1),(334,1),(336,1),(415,1),(424,1)}
       284:{3,4,5,7}:{(224,1),(225,1),(240,1),(328,1),(337,1),(356,1),(358,1),(410,1),(427,1)}
       285:{2,4,6}:{(225,1),(226,1),(336,1),(337,1),(338,1)}
       286:{1,3,5,6}:{(227,1),(229,1),(237,1),(325,1),(339,1),(340,1),(350,1)}
       287:{1,4,5,7}:{(227,1),(228,1),(230,1),(326,1),(340,1),(341,1),(409,1)}
       288:{1,6,7}:{(228,1),(231,1),(239,1)}
       289:{3,5,7}:{(229,1),(230,1),(328,1),(342,1),(405,1)}
       290:{2,4,6,7}:{(230,1),(231,1),(232,1),(241,1),(341,1),(342,1),(343,1),(419,1),(420,1)}
       291:{1,5,6,7}:{(232,1),(242,1),(343,1),(409,1)}
       292:{1,4}:{(233,1),(251,1),(330,1)}
       293:{1,3,5,7}:{(233,1),(234,1),(236,1),(252,1),(331,1),(345,1),(346,1),(422,1)}
       294:{1,3,5}:{(235,1),(243,1),(253,1),(332,1),(344,1),(347,1),(450,1)}
       295:{1,2,6}:{(236,1),(239,1),(255,1),(334,1),(346,1),(424,1)}
       296:{2,5}:{(237,1),(246,1),(348,1)}
       297:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(349,1),(350,1)}
       298:{1,4,6}:{(238,1),(239,1),(241,1),(350,1),(351,1)}
       299:{3,6}:{(240,1),(241,1)}
       300:{2,5,6}:{(241,1),(242,1),(250,1),(351,1),(352,1)}
       301:{2,3,6}:{(243,1),(246,1),(347,1),(353,1),(354,1),(364,1),(444,1)}
       302:{1,3,7}:{(243,1),(244,1),(261,1),(354,1),(405,1)}
       303:{1,4,6}:{(246,1),(348,1),(353,1),(355,1),(421,1),(424,1)}
       304:{2,4,7}:{(246,1),(247,1),(349,1),(354,1),(355,1)}
       305:{1,5,7}:{(248,1),(250,1),(351,1),(422,1)}
       306:{3,5,7}:{(249,1),(250,1),(352,1),(356,1),(427,1),(448,1)}
       307:{3,4}:{(251,1),(253,1)}
       308:{2,4,7}:{(251,1),(252,1),(345,1),(358,1),(359,1)}
       309:{2,3,6}:{(252,1),(255,1),(346,1),(359,1),(361,1)}
       310:{2,3,5}:{(253,1),(256,1),(260,1),(357,1),(360,1)}
       311:{3,5,7}:{(253,1),(254,1),(261,1),(358,1),(361,1),(427,1)}
       312:{2,4,6}:{(254,1),(255,1),(257,1),(361,1),(362,1),(428,1)}
       313:{1,4,5}:{(256,1),(263,1),(348,1),(360,1),(421,1)}
       314:{1,5,6}:{(257,1),(259,1),(265,1),(362,1),(422,1)}
       315:{3,5,6}:{(258,1),(259,1),(266,1),(363,1),(448,1)}
       316:{1,3,6}:{(260,1),(263,1),(360,1),(364,1),(365,1)}
       317:{2,3,7}:{(260,1),(261,1),(264,1),(365,1)}
       318:{3,6,7}:{(261,1),(262,1),(361,1),(366,1)}
       319:{2,5,7}:{(262,1),(265,1),(362,1),(366,1)}
       320:{1,4,7}:{(263,1),(264,1),(267,1),(365,1)}
       321:{4,5,7}:{(266,1),(269,1),(363,1)}
       322:{1,6,7}:{(267,1),(268,1),(424,1)}
       323:{2,4,6}:{(270,1),(272,1),(279,1),(367,1),(368,1)}
       324:{2,5,7}:{(270,1),(271,1),(273,1),(368,1),(369,1),(451,1)}
       325:{1,3,4,6}:{(272,1),(274,1),(281,1),(286,1),(367,1),(370,1),(371,1),(429,1)}
       326:{1,4,7}:{(272,1),(273,1),(275,1),(368,1),(452,1)}
       327:{1,3,6,7}:{(273,1),(276,1),(283,1),(288,1),(369,1),(372,1),(431,1),(440,1)}
       328:{3,4,7}:{(274,1),(275,1),(289,1),(452,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(285,1),(372,1),(373,1),(374,1)}
       330:{2,4}:{(277,1),(292,1),(375,1)}
       331:{2,3,5,7}:{(277,1),(278,1),(280,1),(293,1),(376,1),(377,1),(379,1),(437,1)}
       332:{3,5}:{(279,1),(367,1),(375,1)}
       333:{2,4,5,7}:{(279,1),(280,1),(282,1),(368,1),(376,1),(379,1),(380,1),(432,1),(437,1),(452,1),(454,1)}
       334:{2,6}:{(280,1),(283,1)}
       335:{2,4,5}:{(281,1),(296,1),(370,1),(378,1),(381,1),(389,1),(438,1)}
       336:{1,4,6}:{(282,1),(283,1),(285,1),(380,1),(382,1)}
       337:{3,4,6}:{(284,1),(285,1),(299,1),(383,1),(394,1)}
       338:{2,5,6}:{(285,1),(374,1),(382,1),(383,1),(399,1)}
       339:{2,5,6}:{(286,1),(296,1),(370,1),(384,1),(385,1),(393,1)}
       340:{1,3,5,7}:{(286,1),(287,1),(289,1),(371,1),(385,1),(386,1)}
       341:{1,4,6,7}:{(287,1),(288,1),(290,1),(298,1),(386,1),(387,1)}
       342:{3,6,7}:{(289,1),(290,1),(299,1)}
       343:{2,5,6,7}:{(290,1),(291,1),(300,1),(374,1),(387,1),(388,1),(432,1)}
       344:{1,3,4}:{(292,1),(294,1),(307,1),(375,1),(389,1)}
       345:{1,4,7}:{(292,1),(293,1),(308,1),(376,1),(390,1)}
       346:{1,3,6}:{(293,1),(295,1),(309,1),(377,1),(390,1)}
       347:{2,3,5}:{(294,1),(296,1),(301,1),(389,1),(391,1),(400,1),(438,1),(442,1),(453,1)}
       348:{1,5}:{(296,1),(303,1)}
       349:{2,5,7}:{(296,1),(297,1),(304,1),(392,1),(393,1)}
       350:{1,3,6}:{(297,1),(298,1),(299,1),(393,1)}
       351:{1,5,6}:{(298,1),(300,1),(305,1)}
       352:{3,5,6}:{(299,1),(300,1),(306,1),(394,1)}
       353:{1,3,6}:{(301,1),(303,1),(391,1),(395,1),(396,1)}
       354:{2,3,7}:{(301,1),(302,1),(304,1),(396,1),(402,1),(451,1)}
       355:{1,4,7}:{(303,1),(304,1),(392,1),(396,1)}
       356:{4,5,7}:{(306,1),(394,1),(403,1),(443,1),(452,1),(454,1)}
       357:{2,3,4}:{(307,1),(310,1),(389,1),(397,1),(453,1)}
       358:{3,4,7}:{(307,1),(308,1),(311,1),(398,1),(403,1)}
       359:{2,4,6}:{(308,1),(309,1),(390,1),(398,1),(399,1)}
       360:{1,3,5}:{(310,1),(313,1),(316,1),(397,1),(400,1)}
       361:{3,6}:{(311,1),(312,1)}
       362:{2,5,6}:{(312,1),(314,1),(319,1),(399,1),(401,1)}
       363:{4,5,6}:{(315,1),(321,1),(394,1),(454,1)}
       364:{2,6}:{(316,1),(400,1),(402,1)}
       365:{1,3,7}:{(316,1),(317,1),(320,1),(402,1)}
       366:{3,5,7}:{(318,1),(319,1),(401,1),(403,1)}
       367:{3,6}:{(323,1),(332,1),(405,1)}
       368:{2,4,7}:{(323,1),(324,1),(326,1),(405,1)}
       369:{2,6,7}:{(324,1),(327,1),(334,1)}
       370:{2,4,6}:{(325,1),(335,1),(339,1),(404,1),(407,1),(408,1),(444,1)}
       371:{1,3,4,7}:{(325,1),(326,1),(328,1),(340,1),(405,1),(408,1),(445,1)}
       372:{1,4,6,7}:{(326,1),(327,1),(329,1),(336,1),(406,1),(409,1)}
       373:{3,4,6,7}:{(328,1),(329,1),(337,1),(342,1),(410,1),(420,1)}
       374:{2,5,7}:{(329,1),(338,1),(409,1),(410,1)}
       375:{3,4}:{(330,1),(332,1)}
       376:{2,4,7}:{(330,1),(331,1),(345,1),(412,1),(413,1)}
       377:{2,3,6}:{(331,1),(334,1),(346,1),(413,1),(415,1)}
       378:{2,3,5}:{(332,1),(335,1),(404,1),(411,1),(414,1)}
       379:{3,5,7}:{(332,1),(333,1),(405,1),(412,1),(415,1),(448,1)}
       380:{2,4,6}:{(333,1),(334,1),(336,1),(415,1),(416,1),(449,1)}
       381:{1,4,5}:{(335,1),(348,1),(407,1),(414,1),(421,1)}
       382:{1,5,6}:{(336,1),(338,1),(409,1),(416,1),(422,1)}
       383:{3,5,6}:{(337,1),(338,1),(410,1),(417,1),(427,1)}
       384:{1,5,6}:{(339,1),(348,1),(407,1),(418,1),(424,1)}
       385:{2,5,7}:{(339,1),(340,1),(408,1),(418,1),(419,1)}
       386:{1,3,6,7}:{(340,1),(341,1),(342,1),(350,1),(419,1)}
       387:{1,5,6,7}:{(341,1),(343,1),(351,1),(409,1)}
       388:{3,5,6,7}:{(342,1),(343,1),(352,1),(410,1),(420,1),(446,1)}
       389:{2,4}:{(344,1),(347,1),(421,1)}
       390:{1,4,6}:{(345,1),(346,1),(359,1),(413,1),(422,1)}
       391:{1,3,5}:{(347,1),(348,1),(353,1),(421,1),(423,1),(450,1)}
       392:{1,5,7}:{(348,1),(349,1),(355,1),(424,1)}
       393:{2,6}:{(349,1),(350,1),(424,1)}
       394:{4,6}:{(352,1),(356,1)}
       395:{1,2,6}:{(353,1),(364,1),(423,1),(425,1),(444,1)}
       396:{1,3,7}:{(353,1),(354,1),(355,1),(425,1)}
       397:{1,3,4}:{(357,1),(360,1),(421,1),(426,1),(450,1)}
       398:{3,4,6}:{(358,1),(359,1),(361,1),(427,1),(428,1)}
       399:{2,5}:{(359,1),(422,1),(427,1)}
       400:{2,5}:{(360,1),(364,1),(426,1)}
       401:{3,5,6}:{(361,1),(362,1),(366,1),(427,1),(428,1)}
       402:{2,7}:{(364,1),(365,1)}
       403:{4,7}:{(366,1),(428,1)}
       404:{2,3,6}:{(367,1),(370,1),(378,1),(429,1),(430,1)}
       405:{3,7}:{(367,1),(368,1)}
       406:{2,4,6,7}:{(368,1),(369,1),(372,1),(380,1),(431,1),(432,1),(452,1)}
       407:{1,4,6}:{(370,1),(381,1),(384,1),(429,1),(433,1)}
       408:{2,4,7}:{(370,1),(371,1),(385,1),(430,1),(433,1),(451,1)}
       409:{1,5,7}:{(372,1),(374,1),(382,1),(432,1)}
       410:{3,5,7}:{(373,1),(374,1),(383,1),(434,1)}
       411:{2,3,4}:{(375,1),(378,1),(389,1),(435,1),(442,1)}
       412:{3,4,7}:{(375,1),(376,1),(379,1),(436,1),(452,1)}
       413:{2,4,6}:{(376,1),(377,1),(390,1),(436,1),(437,1)}
       414:{1,3,5}:{(378,1),(381,1),(429,1),(435,1),(438,1)}
       415:{3,6}:{(379,1),(380,1)}
       416:{2,5,6}:{(380,1),(382,1),(432,1),(437,1),(439,1)}
       417:{4,5,6}:{(383,1),(394,1),(434,1),(443,1)}
       418:{1,5,7}:{(384,1),(385,1),(433,1),(440,1)}
       419:{2,6,7}:{(385,1),(386,1),(393,1),(440,1)}
       420:{4,6,7}:{(388,1),(394,1),(434,1),(452,1)}
       421:{1,4}:{(389,1),(391,1)}
       422:{1,5}:{(390,1),(399,1),(437,1)}
       423:{1,2,5}:{(391,1),(395,1),(400,1),(438,1),(441,1)}
       424:{1,6}:{(392,1),(393,1)}
       425:{1,2,7}:{(395,1),(396,1),(402,1),(451,1)}
       426:{2,4}:{(397,1),(400,1),(442,1)}
       427:{3,5}:{(398,1),(399,1),(443,1)}
       428:{4,6}:{(401,1),(403,1),(443,1)}
       429:{1,3,6}:{(404,1),(407,1),(414,1),(444,1),(445,1)}
       430:{2,3,7}:{(404,1),(405,1),(408,1),(445,1)}
       431:{3,6,7}:{(405,1),(406,1),(415,1),(446,1)}
       432:{2,5,7}:{(406,1),(409,1),(416,1),(446,1)}
       433:{1,4,7}:{(407,1),(408,1),(418,1),(445,1)}
       434:{4,5,7}:{(410,1),(417,1),(420,1)}
       435:{1,3,4}:{(411,1),(414,1),(421,1),(447,1),(450,1)}
       436:{3,4,6}:{(412,1),(413,1),(415,1),(448,1),(449,1)}
       437:{2,5}:{(413,1),(422,1),(448,1)}
       438:{2,5}:{(414,1),(444,1),(447,1)}
       439:{3,5,6}:{(415,1),(416,1),(446,1),(448,1),(449,1)}
       440:{1,6,7}:{(418,1),(419,1),(424,1)}
       441:{1,2,4}:{(421,1),(423,1),(426,1),(447,1),(450,1)}
       442:{2,3}:{(426,1),(450,1)}
       443:{4,5}:{(427,1),(428,1)}
       444:{2,6}:{(429,1),(438,1),(451,1)}
       445:{1,3,7}:{(429,1),(430,1),(433,1),(451,1)}
       446:{3,5,7}:{(431,1),(432,1),(439,1),(452,1)}
       447:{2,4}:{(435,1),(438,1),(453,1)}
       448:{3,5}:{(436,1),(437,1),(454,1)}
       449:{4,6}:{(439,1),(452,1),(454,1)}
       450:{1,3}:{(441,1),(442,1),(453,1)}
       451:{2,7}:{(444,1),(445,1)}
       452:{4,7}:{(446,1),(449,1)}
       453:{2,3}:{(447,1),(450,1)}
       454:{4,5}:{(448,1),(449,1)}

 683 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 684 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(37,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(37,1),(45,1),(88,1),(89,1),(90,1),(178,1),(279,1),(287,1),(295,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(68,1),(124,1),(153,1),(242,1),(325,1),(357,1)}
         3:{2,5,6,7}:{(11,1),(15,1),(17,1),(146,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(17,1),(18,1),(58,1),(65,1),(67,1),(146,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(16,1),(18,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(16,1),(21,1),(229,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(346,1),(353,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(67,1),(130,1),(132,1),(231,1),(335,1),(352,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(64,1),(68,1),(76,1),(128,1),(133,1),(143,1),(149,1),(156,1),(246,1),(259,1),(351,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(105,1),(163,1),(202,1),(203,1),(269,1),(313,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(196,1),(276,1),(409,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(94,1),(104,1),(171,1),(196,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(297,1),(407,1)}
        14:{1,3,4,5}:{(6,1),(29,1),(33,1),(44,1),(81,1),(96,1),(112,1),(166,1),(190,1),(272,1),(297,1)}
        15:{3,5,6,7}:{(3,1),(35,1),(38,1),(102,1),(388,1),(479,1)}
        16:{3,4,6}:{(5,1),(6,1),(36,1),(37,1),(468,1)}
        17:{2,4,6,7}:{(3,1),(4,1),(30,1),(35,1),(38,1),(93,1),(393,1)}
        18:{3,5,7}:{(4,1),(5,1),(36,1),(38,1),(278,1)}
        19:{2,3,5,6}:{(5,1),(7,1),(32,1),(37,1),(39,1),(40,1),(45,1),(90,1),(109,1)}
        20:{3,4,5,7}:{(6,1),(36,1),(42,1),(43,1),(102,1),(285,1),(390,1),(398,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(37,1),(44,1),(178,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(405,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(304,1),(316,1),(404,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(100,1),(104,1),(181,1),(192,1),(198,1),(205,1),(403,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(176,1),(182,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(251,1),(368,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(148,1),(220,1),(251,1),(364,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(149,1),(254,1),(366,1)}
        29:{1,3,4,6}:{(13,1),(14,1),(16,1),(51,1),(55,1),(56,1),(68,1),(124,1),(133,1),(149,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(17,1),(52,1),(57,1),(136,1),(357,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(18,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(353,1),(452,1)}
        33:{2,4,5}:{(14,1),(56,1),(60,1),(61,1),(139,1),(244,1),(353,1)}
        34:{1,2,4,6}:{(25,1),(62,1),(63,1),(64,1),(131,1),(141,1),(143,1),(227,1),(235,1),(246,1),(351,1)}
        35:{4,6,7}:{(15,1),(65,1),(437,1),(508,1)}
        36:{3,4,7}:{(16,1),(18,1),(67,1),(437,1)}
        37:{2,4,6}:{(16,1),(19,1),(21,1),(67,1),(68,1)}
        38:{3,6,7}:{(17,1),(18,1),(439,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(58,1),(67,1),(69,1),(70,1),(132,1),(146,1)}
        40:{1,3,5,6}:{(19,1),(23,1),(59,1),(68,1),(70,1),(71,1),(76,1),(133,1),(149,1),(153,1),(258,1)}
        41:{4,5,6}:{(65,1),(72,1),(446,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(67,1),(73,1),(74,1),(146,1),(231,1),(346,1)}
        44:{1,4,5}:{(21,1),(23,1),(68,1),(75,1),(143,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(452,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(450,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(236,1)}
        49:{2,3,6}:{(25,1),(64,1),(78,1),(79,1),(149,1),(228,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(308,1),(415,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(93,1),(313,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(198,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(90,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(36,1),(83,1),(91,1),(104,1),(171,1),(181,1),(198,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(33,1),(90,1),(91,1),(92,1),(182,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(38,1),(85,1),(93,1),(407,1)}
        58:{2,5,7}:{(31,1),(32,1),(91,1),(93,1),(94,1)}
        59:{1,5,6}:{(32,1),(92,1),(94,1),(404,1),(486,1)}
        60:{2,3,5}:{(33,1),(88,1),(90,1),(96,1),(112,1),(272,1)}
        61:{1,4,5}:{(33,1),(92,1),(96,1),(301,1),(404,1)}
        62:{1,2,5}:{(34,1),(47,1),(99,1),(180,1),(304,1),(404,1)}
        63:{1,2,4,7}:{(34,1),(48,1),(98,1),(100,1),(179,1),(192,1),(292,1),(403,1)}
        64:{1,3,6}:{(34,1),(49,1),(89,1),(99,1),(100,1),(283,1)}
        65:{4,5,7}:{(35,1),(41,1),(102,1)}
        66:{3,4,6,7}:{(35,1),(36,1),(38,1),(42,1),(102,1),(103,1)}
        67:{2,4,7}:{(36,1),(37,1),(39,1),(104,1)}
        68:{1,4,6}:{(37,1),(40,1),(44,1),(104,1),(105,1),(315,1)}
        69:{2,3,6,7}:{(38,1),(39,1),(45,1),(93,1),(103,1),(106,1)}
        70:{1,3,5,7}:{(39,1),(40,1),(94,1),(104,1),(106,1),(107,1),(181,1),(196,1),(198,1),(308,1)}
        71:{2,5,6}:{(40,1),(47,1),(105,1),(107,1),(113,1),(182,1)}
        72:{3,5,6}:{(41,1),(42,1),(102,1),(109,1),(398,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(104,1),(110,1),(111,1),(192,1),(196,1),(304,1)}
        75:{2,4,5}:{(44,1),(47,1),(105,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(486,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(99,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(100,1),(198,1)}
        80:{2,3,4,6}:{(49,1),(101,1),(115,1),(116,1),(117,1),(199,1),(207,1),(209,1),(210,1),(284,1),(295,1),(397,1)}
        81:{3,4,5}:{(51,1),(119,1),(254,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(364,1),(457,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(364,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(366,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(132,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(133,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,4}:{(60,1),(128,1),(156,1),(244,1),(328,1),(340,1)}
        89:{2,3,6}:{(64,1),(129,1),(130,1),(131,1),(340,1),(345,1)}
        90:{2,3,6}:{(56,1),(60,1),(132,1),(133,1),(149,1),(223,1)}
        91:{2,4,7}:{(55,1),(56,1),(58,1),(132,1),(134,1),(236,1)}
        92:{1,4,6}:{(56,1),(59,1),(61,1),(133,1),(134,1)}
        93:{2,6,7}:{(57,1),(58,1),(136,1),(452,1)}
        94:{1,5,7}:{(58,1),(59,1),(134,1),(136,1)}
        95:{1,2,5,6}:{(59,1),(62,1),(71,1),(127,1),(135,1),(137,1),(138,1),(141,1),(234,1),(235,1),(321,1),(353,1),(421,1),(451,1),(452,1),(504,1)}
        96:{1,3,5}:{(60,1),(61,1),(128,1),(133,1),(139,1)}
        97:{1,2,4,5}:{(61,1),(62,1),(75,1),(135,1),(139,1),(140,1),(143,1),(217,1),(227,1),(232,1),(242,1),(244,1),(321,1),(353,1),(359,1),(423,1),(443,1),(493,1)}
        98:{1,2,5,7}:{(62,1),(63,1),(77,1),(141,1),(142,1),(233,1),(450,1)}
        99:{1,3,5}:{(62,1),(64,1),(78,1),(129,1),(143,1)}
       100:{1,3,7}:{(63,1),(64,1),(79,1),(130,1)}
       101:{1,3,4,6}:{(64,1),(80,1),(131,1),(143,1),(144,1),(145,1),(229,1),(246,1),(248,1),(249,1),(341,1),(343,1),(345,1),(351,1),(444,1)}
       102:{3,5,7}:{(65,1),(66,1),(72,1),(146,1)}
       103:{2,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(146,1),(147,1)}
       104:{1,4,7}:{(67,1),(68,1),(70,1),(148,1),(364,1)}
       105:{2,4,6}:{(68,1),(71,1),(75,1),(148,1),(149,1)}
       106:{1,3,6,7}:{(69,1),(70,1),(76,1),(136,1),(147,1),(150,1),(252,1)}
       107:{2,5,7}:{(70,1),(71,1),(148,1),(150,1),(236,1)}
       108:{2,3,5,6}:{(71,1),(78,1),(138,1),(149,1),(151,1),(152,1),(157,1),(237,1),(254,1),(258,1),(262,1),(353,1),(366,1),(368,1),(420,1),(452,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       109:{2,5,6}:{(72,1),(73,1),(146,1),(153,1),(346,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(148,1),(154,1),(155,1),(158,1),(251,1),(262,1),(364,1),(370,1)}
       112:{3,5}:{(75,1),(149,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(142,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(143,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(144,1),(158,1),(160,1),(253,1),(264,1),(352,1),(445,1)}
       117:{2,3,5}:{(80,1),(145,1),(159,1),(254,1),(262,1),(353,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(310,1),(414,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(90,1),(162,1),(167,1),(168,1),(199,1),(266,1),(295,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(93,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(94,1),(171,1),(173,1),(174,1),(181,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(182,1),(268,1),(376,1)}
       128:{1,3,4}:{(88,1),(96,1),(176,1),(283,1),(301,1)}
       129:{2,3,5}:{(89,1),(99,1),(178,1),(180,1),(286,1)}
       130:{2,3,7}:{(89,1),(100,1),(179,1),(400,1)}
       131:{2,4,6}:{(89,1),(101,1),(178,1),(179,1),(180,1),(290,1),(395,1),(482,1)}
       132:{2,3,7}:{(90,1),(91,1),(181,1),(198,1),(278,1)}
       133:{1,3,6}:{(90,1),(92,1),(96,1),(181,1),(182,1)}
       134:{1,4,7}:{(91,1),(92,1),(94,1),(181,1)}
       135:{1,2,4,6}:{(92,1),(95,1),(97,1),(105,1),(172,1),(182,1),(183,1),(184,1),(187,1),(289,1),(295,1),(411,1),(482,1),(517,1)}
       136:{1,6,7}:{(93,1),(94,1),(486,1)}
       137:{1,2,5,7}:{(94,1),(95,1),(107,1),(174,1),(183,1),(185,1),(186,1),(291,1),(292,1),(405,1),(487,1),(526,1)}
       138:{1,3,5,6}:{(95,1),(99,1),(108,1),(175,1),(184,1),(186,1),(187,1),(191,1),(293,1),(297,1),(304,1),(375,1),(404,1),(407,1),(409,1),(462,1),(486,1),(518,1)}
       139:{2,5}:{(96,1),(176,1),(182,1)}
       140:{1,3,5}:{(97,1),(112,1),(184,1),(189,1),(190,1),(272,1),(283,1),(286,1),(514,1)}
       141:{1,2,6}:{(98,1),(113,1),(191,1),(290,1),(486,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(100,1),(114,1),(177,1),(191,1),(192,1),(304,1)}
       143:{1,4}:{(99,1),(115,1),(178,1)}
       144:{1,3,4,7}:{(100,1),(101,1),(116,1),(179,1),(192,1),(194,1),(285,1),(306,1),(400,1),(403,1),(483,1)}
       145:{1,3,5}:{(101,1),(117,1),(180,1),(193,1),(286,1),(304,1),(398,1),(404,1)}
       146:{2,5,7}:{(102,1),(103,1),(109,1),(196,1)}
       147:{1,4,6,7}:{(103,1),(104,1),(106,1),(110,1),(196,1),(197,1)}
       148:{2,4,7}:{(104,1),(105,1),(107,1),(198,1)}
       149:{3,6}:{(105,1),(112,1),(198,1)}
       150:{2,6,7}:{(106,1),(107,1),(113,1)}
       151:{2,3,5,7}:{(107,1),(108,1),(186,1),(198,1),(200,1),(201,1),(294,1),(308,1),(310,1),(312,1),(405,1),(526,1),(542,1),(551,1)}
       152:{2,4,6}:{(108,1),(115,1),(187,1),(199,1),(201,1),(202,1),(315,1),(461,1),(550,1)}
       153:{1,5,6}:{(109,1),(110,1),(196,1),(203,1),(304,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(198,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(191,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(192,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(193,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(194,1),(208,1),(210,1),(310,1),(405,1)}
       161:{2,3,5,6}:{(117,1),(195,1),(209,1),(210,1),(211,1),(311,1),(319,1),(397,1),(406,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(254,1),(353,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(457,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(366,1),(457,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(132,1),(212,1),(218,1),(253,1),(352,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(128,1),(133,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(351,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(136,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(236,1)}
       175:{2,3,5,6}:{(127,1),(129,1),(138,1),(223,1),(225,1),(226,1),(230,1),(234,1),(237,1),(324,1),(336,1),(345,1),(346,1),(353,1),(424,1),(427,1),(439,1),(441,1),(447,1),(452,1),(497,1)}
       176:{2,4}:{(128,1),(139,1),(228,1)}
       177:{2,3,5,7}:{(129,1),(130,1),(142,1),(230,1),(231,1),(233,1),(344,1),(346,1)}
       178:{2,4}:{(129,1),(143,1),(229,1)}
       179:{2,4,7}:{(130,1),(131,1),(144,1),(233,1),(510,1)}
       180:{2,5}:{(131,1),(145,1)}
       181:{1,3,7}:{(132,1),(133,1),(134,1),(236,1)}
       182:{2,6}:{(133,1),(139,1),(236,1)}
       183:{1,2,4,7}:{(134,1),(135,1),(137,1),(148,1),(222,1),(236,1),(238,1),(241,1),(348,1),(352,1),(456,1),(510,1),(534,1)}
       184:{1,3,6}:{(135,1),(140,1),(149,1),(223,1),(237,1),(238,1),(345,1),(531,1)}
       185:{1,2,6,7}:{(136,1),(137,1),(141,1),(150,1),(224,1),(240,1),(349,1),(421,1),(452,1),(512,1),(539,1)}
       186:{1,3,5,7}:{(137,1),(138,1),(151,1),(225,1),(238,1),(240,1),(241,1),(350,1),(356,1),(450,1)}
       187:{1,4,6}:{(138,1),(143,1),(152,1),(226,1),(241,1),(242,1),(423,1)}
       188:{1,2,5}:{(139,1),(227,1),(235,1),(243,1),(443,1)}
       189:{2,3,5}:{(139,1),(140,1),(228,1),(237,1),(243,1),(244,1),(340,1),(353,1),(443,1)}
       190:{1,3,4}:{(140,1),(143,1),(156,1),(229,1),(244,1),(328,1),(423,1),(490,1)}
       191:{1,3,6}:{(141,1),(142,1),(157,1),(230,1),(246,1)}
       192:{1,4,7}:{(142,1),(143,1),(158,1),(231,1),(246,1)}
       193:{1,4,5}:{(143,1),(145,1),(159,1),(232,1),(248,1),(446,1)}
       194:{1,3,5,7}:{(144,1),(145,1),(160,1),(233,1),(247,1),(249,1),(344,1),(450,1)}
       195:{1,3,5,6}:{(145,1),(161,1),(234,1),(248,1),(249,1),(250,1),(345,1),(362,1),(444,1),(447,1),(451,1)}
       196:{1,5,7}:{(146,1),(147,1),(153,1),(251,1)}
       197:{2,4,6,7}:{(147,1),(148,1),(150,1),(154,1),(251,1),(252,1),(364,1)}
       198:{3,7}:{(148,1),(149,1)}
       199:{3,4,6}:{(149,1),(152,1),(156,1),(253,1),(254,1),(366,1),(490,1),(531,1)}
       200:{2,3,6,7}:{(150,1),(151,1),(157,1),(240,1),(252,1),(255,1),(366,1),(452,1),(491,1),(539,1),(548,1)}
       201:{2,4,7}:{(151,1),(152,1),(241,1),(253,1),(364,1),(552,1)}
       202:{2,4,5}:{(152,1),(242,1),(254,1),(262,1),(353,1),(370,1),(532,1),(546,1)}
       203:{2,5,6}:{(153,1),(154,1),(251,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(364,1)}
       206:{3,4,5}:{(156,1),(159,1),(254,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(246,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(247,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(248,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(249,1),(263,1),(366,1),(452,1)}
       211:{2,3,5,7}:{(161,1),(250,1),(264,1),(265,1),(367,1),(373,1),(445,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(310,1),(405,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(404,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(181,1),(267,1),(274,1),(278,1),(381,1),(384,1),(403,1),(463,1)}
       219:{2,4,6}:{(168,1),(176,1),(182,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(186,1),(278,1),(280,1),(281,1),(291,1),(294,1),(388,1),(390,1),(392,1),(400,1),(405,1),(485,1)}
       226:{2,4,6}:{(175,1),(178,1),(187,1),(279,1),(281,1),(282,1),(378,1),(468,1),(484,1)}
       227:{1,2,4}:{(176,1),(188,1),(283,1),(301,1),(395,1)}
       228:{2,3}:{(176,1),(283,1)}
       229:{3,4}:{(178,1),(286,1)}
       230:{2,3,6}:{(177,1),(191,1),(287,1),(290,1),(399,1)}
       231:{2,4,7}:{(177,1),(178,1),(192,1),(285,1),(287,1)}
       232:{2,4,5}:{(178,1),(180,1),(193,1),(286,1),(289,1)}
       233:{2,5,7}:{(179,1),(180,1),(194,1),(290,1)}
       234:{2,5,6}:{(180,1),(195,1),(289,1),(290,1),(291,1),(482,1)}
       235:{1,2,6}:{(182,1),(188,1),(292,1),(293,1),(482,1)}
       236:{2,7}:{(181,1),(182,1)}
       237:{2,3,6}:{(182,1),(184,1),(189,1),(293,1),(294,1),(295,1),(482,1)}
       238:{1,3,7}:{(183,1),(184,1),(198,1),(278,1),(294,1),(400,1),(542,1)}
       239:{1,3,4,6}:{(184,1),(187,1),(190,1),(199,1),(279,1),(295,1),(296,1),(297,1),(407,1)}
       240:{1,3,6,7}:{(185,1),(186,1),(191,1),(200,1),(280,1),(298,1),(407,1),(462,1),(486,1)}
       241:{1,4,7}:{(186,1),(187,1),(201,1),(281,1)}
       242:{1,4,5}:{(187,1),(202,1),(282,1),(297,1),(304,1),(404,1),(518,1)}
       243:{1,3,5}:{(188,1),(189,1),(283,1),(293,1),(301,1),(404,1)}
       244:{2,4}:{(189,1),(190,1),(301,1)}
       245:{1,3,4,5}:{(190,1),(193,1),(206,1),(286,1),(297,1),(302,1),(303,1),(382,1),(396,1),(464,1),(514,1)}
       246:{1,4,6}:{(191,1),(192,1),(207,1),(287,1),(304,1)}
       247:{1,4,5,7}:{(192,1),(193,1),(194,1),(208,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       248:{1,4,6}:{(193,1),(195,1),(209,1),(289,1),(306,1),(484,1)}
       249:{1,3,6}:{(194,1),(210,1),(290,1),(305,1),(399,1),(486,1)}
       250:{1,3,5,7}:{(195,1),(211,1),(291,1),(306,1),(307,1),(400,1),(413,1),(483,1),(485,1),(487,1)}
       251:{2,5,7}:{(196,1),(197,1),(203,1),(308,1)}
       252:{3,6,7}:{(197,1),(198,1),(204,1),(308,1)}
       253:{3,4,7}:{(198,1),(199,1),(201,1),(310,1),(542,1)}
       254:{3,5}:{(199,1),(202,1)}
       255:{2,4,6,7}:{(200,1),(201,1),(207,1),(298,1),(309,1),(312,1),(313,1),(515,1)}
       256:{2,4,5,7}:{(201,1),(202,1),(299,1),(310,1),(312,1),(313,1),(405,1),(414,1)}
       257:{2,4,5,6}:{(202,1),(209,1),(300,1),(311,1),(313,1),(314,1),(319,1),(406,1),(418,1),(517,1),(543,1),(550,1)}
       258:{3,5,6}:{(203,1),(204,1),(308,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(310,1),(316,1),(317,1),(318,1),(414,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(311,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(304,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(305,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(306,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(307,1),(320,1),(416,1),(488,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(366,1),(452,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(450,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(235,1),(321,1),(329,1),(330,1),(351,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(236,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(228,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(229,1),(328,1),(335,1),(336,1),(345,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(230,1),(240,1),(334,1),(337,1),(349,1),(424,1),(439,1),(448,1),(452,1)}
       281:{2,4,7}:{(225,1),(226,1),(241,1),(335,1),(437,1),(511,1)}
       282:{2,4,5}:{(226,1),(242,1),(336,1),(346,1),(353,1),(446,1),(497,1),(500,1)}
       283:{1,3}:{(227,1),(228,1),(340,1)}
       284:{2,3,4}:{(228,1),(229,1),(244,1),(341,1),(342,1),(490,1)}
       285:{3,4,7}:{(229,1),(231,1),(343,1),(344,1),(511,1)}
       286:{3,5}:{(229,1),(232,1),(345,1)}
       287:{2,4,6}:{(230,1),(231,1),(246,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(231,1),(232,1),(233,1),(247,1),(344,1),(346,1),(347,1),(348,1),(446,1),(449,1),(511,1)}
       289:{2,4,6}:{(232,1),(234,1),(248,1),(345,1),(348,1)}
       290:{2,6}:{(233,1),(249,1)}
       291:{2,5,7}:{(234,1),(250,1),(348,1),(349,1),(510,1)}
       292:{1,2,7}:{(235,1),(236,1),(350,1),(510,1)}
       293:{1,3,6}:{(235,1),(237,1),(243,1),(350,1),(351,1)}
       294:{2,3,7}:{(236,1),(237,1),(238,1),(350,1),(352,1),(510,1)}
       295:{2,4,6}:{(237,1),(239,1),(244,1),(351,1),(352,1),(353,1),(452,1)}
       296:{1,3,4,7}:{(238,1),(239,1),(241,1),(253,1),(335,1),(352,1),(354,1)}
       297:{1,3,5}:{(239,1),(242,1),(254,1),(336,1),(353,1)}
       298:{1,4,6,7}:{(240,1),(241,1),(246,1),(255,1),(337,1),(356,1),(357,1),(494,1)}
       299:{1,4,5,7}:{(241,1),(242,1),(256,1),(338,1),(354,1),(356,1),(357,1),(450,1)}
       300:{1,4,5,6}:{(242,1),(248,1),(257,1),(339,1),(355,1),(357,1),(358,1),(362,1),(451,1),(496,1),(535,1)}
       301:{1,4}:{(243,1),(244,1)}
       302:{2,4,5}:{(244,1),(245,1),(342,1),(353,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(245,1),(248,1),(261,1),(345,1),(355,1),(360,1),(361,1),(430,1),(444,1),(496,1),(531,1)}
       304:{1,5}:{(246,1),(262,1),(346,1)}
       305:{1,4,6}:{(247,1),(249,1),(263,1),(347,1),(362,1)}
       306:{1,4,7}:{(248,1),(250,1),(264,1),(348,1),(511,1)}
       307:{1,3,6,7}:{(249,1),(250,1),(265,1),(349,1),(363,1),(448,1),(512,1)}
       308:{3,5,7}:{(251,1),(252,1),(258,1),(364,1)}
       309:{3,4,6,7}:{(252,1),(253,1),(255,1),(259,1),(364,1),(365,1),(366,1),(457,1),(529,1),(548,1),(552,1)}
       310:{3,5,7}:{(253,1),(254,1),(256,1),(366,1)}
       311:{3,5,6}:{(254,1),(257,1),(261,1),(366,1),(367,1),(531,1)}
       312:{2,5,7}:{(255,1),(262,1),(356,1),(365,1),(368,1),(532,1)}
       313:{2,4,6}:{(256,1),(357,1),(366,1),(368,1),(452,1),(457,1)}
       314:{2,4,5,7}:{(257,1),(264,1),(358,1),(367,1),(369,1),(373,1),(453,1),(459,1),(534,1),(549,1),(552,1)}
       315:{4,6}:{(258,1),(364,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(366,1),(371,1),(457,1)}
       318:{3,4,7}:{(261,1),(264,1),(367,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(362,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(363,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(404,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(486,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(292,1),(374,1),(384,1),(403,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(283,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(284,1),(295,1),(378,1),(385,1),(386,1),(387,1),(397,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(400,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(287,1),(298,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(299,1),(390,1),(392,1),(393,1),(405,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(289,1),(300,1),(391,1),(393,1),(394,1),(401,1),(406,1),(467,1),(484,1),(521,1),(523,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(286,1),(302,1),(396,1),(397,1),(514,1)}
       343:{3,4,6}:{(285,1),(287,1),(398,1),(399,1),(484,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,6}:{(286,1),(289,1),(400,1)}
       346:{2,5}:{(287,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(290,1),(305,1),(399,1),(401,1),(484,1)}
       348:{2,4,7}:{(289,1),(291,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,3,7}:{(292,1),(293,1),(294,1),(403,1)}
       351:{1,4,6}:{(293,1),(295,1),(301,1),(403,1),(404,1),(486,1)}
       352:{2,4,7}:{(294,1),(295,1),(296,1),(403,1),(405,1)}
       353:{2,5}:{(295,1),(297,1),(404,1)}
       354:{1,3,5,7}:{(296,1),(297,1),(299,1),(310,1),(390,1),(405,1),(407,1)}
       355:{1,3,5,6}:{(297,1),(300,1),(303,1),(311,1),(391,1),(406,1),(407,1),(408,1)}
       356:{1,5,7}:{(298,1),(304,1),(312,1),(392,1),(409,1),(518,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(407,1),(409,1),(486,1)}
       358:{1,4,5,7}:{(300,1),(306,1),(314,1),(394,1),(408,1),(410,1),(413,1),(487,1),(520,1),(545,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(404,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(406,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(306,1),(318,1),(400,1),(408,1),(412,1),(471,1),(483,1),(520,1),(542,1)}
       362:{1,5,6}:{(304,1),(305,1),(319,1),(401,1),(413,1)}
       363:{1,4,6,7}:{(305,1),(306,1),(307,1),(320,1),(402,1),(413,1)}
       364:{4,7}:{(308,1),(315,1)}
       365:{3,5,7}:{(309,1),(312,1),(316,1),(414,1),(415,1),(540,1)}
       366:{3,6}:{(310,1),(313,1)}
       367:{3,5,7}:{(311,1),(314,1),(318,1),(416,1),(542,1)}
       368:{2,5,6}:{(312,1),(313,1),(409,1),(415,1)}
       369:{2,4,6,7}:{(313,1),(314,1),(410,1),(416,1),(417,1),(488,1),(489,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(416,1),(419,1),(489,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(450,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(446,1)}
       383:{2,3,6}:{(330,1),(340,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(351,1),(423,1),(432,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(352,1),(425,1),(433,1),(435,1),(445,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(353,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(343,1),(428,1),(437,1),(438,1),(439,1),(448,1),(508,1),(511,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(345,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(356,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(357,1),(439,1),(441,1),(452,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(358,1),(440,1),(442,1),(449,1),(453,1),(499,1),(511,1),(537,1),(538,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(345,1),(360,1),(444,1),(445,1),(531,1)}
       398:{3,5}:{(343,1),(346,1),(446,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,7}:{(345,1),(348,1)}
       401:{2,5,6}:{(346,1),(347,1),(362,1),(447,1),(449,1)}
       402:{2,4,6,7}:{(347,1),(348,1),(349,1),(363,1),(448,1),(449,1),(511,1)}
       403:{1,4,7}:{(350,1),(351,1),(352,1),(450,1)}
       404:{1,5}:{(351,1),(353,1)}
       405:{2,5,7}:{(352,1),(353,1),(354,1),(450,1),(452,1)}
       406:{2,5,6}:{(353,1),(355,1),(360,1),(451,1),(452,1),(453,1)}
       407:{1,3,6}:{(354,1),(357,1),(366,1),(439,1),(452,1)}
       408:{1,3,5,7}:{(355,1),(358,1),(361,1),(367,1),(440,1),(453,1),(454,1)}
       409:{1,5,6}:{(356,1),(357,1),(368,1),(441,1)}
       410:{1,4,6,7}:{(357,1),(358,1),(369,1),(442,1),(454,1),(455,1),(512,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(451,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(453,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{4,5,7}:{(364,1),(365,1),(370,1),(457,1),(546,1),(552,1)}
       415:{3,5,6}:{(365,1),(366,1),(368,1),(457,1)}
       416:{3,6,7}:{(366,1),(367,1),(369,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(458,1),(549,1)}
       418:{4,5,6}:{(370,1),(371,1),(457,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(486,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(484,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(395,1),(461,1),(472,1),(473,1),(482,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(403,1),(463,1),(472,1),(474,1),(483,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(404,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(405,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(397,1),(406,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(398,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(400,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(409,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(410,1),(480,1),(481,1),(488,1),(528,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(400,1),(412,1),(483,1),(542,1)}
       446:{4,5}:{(398,1),(484,1)}
       447:{3,5,6}:{(398,1),(399,1),(401,1),(484,1),(485,1)}
       448:{3,6,7}:{(399,1),(400,1),(402,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(485,1)}
       450:{1,5,7}:{(403,1),(404,1),(405,1),(486,1)}
       451:{1,5,6}:{(404,1),(406,1),(411,1),(486,1),(487,1)}
       452:{2,6}:{(405,1),(407,1),(486,1)}
       453:{2,5,7}:{(406,1),(408,1),(412,1),(487,1),(488,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(410,1),(416,1),(480,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(487,1)}
       457:{4,6}:{(414,1),(415,1)}
       458:{3,5,6,7}:{(415,1),(416,1),(417,1),(419,1),(489,1),(551,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(511,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(510,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(450,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(451,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(452,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(445,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(446,1),(500,1),(508,1),(511,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(509,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{4,6}:{(446,1),(447,1),(511,1)}
       485:{3,5,7}:{(447,1),(448,1),(449,1),(511,1)}
       486:{1,6}:{(450,1),(452,1)}
       487:{1,5,7}:{(451,1),(453,1),(456,1),(512,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(482,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(486,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(488,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(485,1),(524,1),(528,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(510,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 685 :   0:{2,5,6,7}:{(2,1),(3,1),(5,1),(96,1),(256,1),(372,1)}
         1:{2,3,4,7}:{(7,1),(8,1),(9,1),(83,1),(101,1),(166,1),(171,1),(370,1),(384,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(11,1),(138,1),(204,1),(335,1)}
         3:{3,5,6,7}:{(0,1),(13,1),(18,1),(61,1),(310,1),(408,1)}
         4:{3,4,5,7}:{(15,1),(16,1),(22,1),(61,1),(66,1),(208,1),(314,1),(407,1),(416,1)}
         5:{2,4,6,7}:{(0,1),(11,1),(13,1),(17,1),(18,1),(54,1),(417,1)}
         6:{2,4,5,6}:{(12,1),(14,1),(17,1),(19,1),(56,1),(63,1),(69,1),(214,1),(307,1),(323,1),(403,1),(417,1)}
         7:{2,3,5,7}:{(1,1),(16,1),(20,1),(21,1),(23,1),(416,1),(429,1)}
         8:{2,3,4,6}:{(1,1),(20,1),(23,1),(24,1),(69,1),(122,1),(123,1),(128,1),(216,1),(219,1),(322,1),(337,1)}
         9:{1,3,4,7}:{(1,1),(21,1),(24,1),(25,1),(60,1),(132,1),(142,1),(143,1),(222,1),(242,1),(428,1)}
        10:{2,5,6,7}:{(2,1),(26,1),(27,1),(156,1),(185,1),(299,1)}
        11:{1,4,6,7}:{(2,1),(5,1),(27,1),(29,1),(30,1),(86,1),(386,1)}
        12:{1,4,5,6}:{(6,1),(28,1),(29,1),(31,1),(88,1),(98,1),(104,1),(163,1),(253,1),(284,1),(386,1)}
        13:{4,6,7}:{(3,1),(34,1),(360,1),(446,1)}
        14:{4,5,6}:{(34,1),(36,1),(365,1),(446,1)}
        15:{3,4,6}:{(4,1),(36,1),(37,1),(446,1),(456,1)}
        16:{2,4,5,7}:{(4,1),(7,1),(37,1),(38,1),(45,1),(96,1),(101,1),(166,1),(269,1)}
        17:{2,4,5,7}:{(5,1),(6,1),(29,1),(34,1),(39,1),(85,1),(96,1),(101,1),(256,1),(263,1),(360,1)}
        18:{3,6,7}:{(5,1),(39,1),(456,1)}
        19:{3,5,6}:{(6,1),(39,1),(41,1),(267,1),(375,1),(456,1)}
        20:{2,3,6}:{(7,1),(37,1),(43,1),(456,1),(466,1)}
        21:{1,3,5,7}:{(7,1),(9,1),(38,1),(43,1),(44,1),(46,1),(100,1),(465,1)}
        22:{3,4,5}:{(41,1),(45,1),(273,1),(375,1),(442,1)}
        23:{2,3,5}:{(8,1),(45,1),(46,1),(269,1),(375,1),(389,1)}
        24:{1,3,4,6}:{(8,1),(9,1),(43,1),(46,1),(47,1),(94,1),(104,1),(167,1),(175,1),(178,1),(182,1),(188,1),(193,1),(197,1),(388,1)}
        25:{2,4,7}:{(9,1),(44,1),(47,1),(48,1),(277,1)}
        26:{3,5,6,7}:{(10,1),(49,1),(51,1),(113,1),(237,1),(346,1)}
        27:{2,4,6,7}:{(10,1),(11,1),(49,1),(50,1),(51,1),(54,1),(350,1)}
        28:{2,4,5,6}:{(12,1),(50,1),(52,1),(56,1),(112,1),(119,1),(140,1),(146,1),(202,1),(239,1),(246,1),(350,1)}
        29:{1,4,5,7}:{(11,1),(12,1),(17,1),(50,1),(53,1),(126,1),(138,1),(143,1),(204,1),(210,1)}
        30:{1,3,6,7}:{(11,1),(18,1),(51,1),(53,1),(54,1),(430,1)}
        31:{1,3,5,6}:{(12,1),(19,1),(52,1),(53,1),(55,1),(56,1),(338,1),(430,1)}
        32:{1,3,4,5}:{(22,1),(55,1),(58,1),(73,1),(115,1),(133,1),(150,1),(207,1),(233,1),(313,1),(338,1)}
        33:{1,2,4,7}:{(25,1),(57,1),(59,1),(60,1),(124,1),(132,1),(331,1),(428,1)}
        34:{4,5,7}:{(13,1),(14,1),(61,1)}
        35:{3,4,6,7}:{(13,1),(15,1),(18,1),(61,1),(62,1),(66,1)}
        36:{3,5,6}:{(14,1),(15,1),(61,1),(63,1),(314,1)}
        37:{2,4,6}:{(15,1),(16,1),(20,1),(63,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(21,1),(64,1),(65,1),(73,1),(132,1),(138,1),(143,1),(229,1)}
        39:{3,5,7}:{(17,1),(18,1),(19,1),(66,1),(317,1)}
        40:{2,3,6,7}:{(18,1),(20,1),(54,1),(62,1),(67,1),(68,1)}
        41:{3,4,6}:{(19,1),(22,1),(66,1),(69,1),(403,1)}
        42:{2,3,5,6}:{(19,1),(20,1),(23,1),(56,1),(63,1),(67,1),(69,1),(70,1),(128,1)}
        43:{1,3,6}:{(20,1),(21,1),(64,1),(71,1),(141,1),(493,1)}
        44:{2,5,7}:{(21,1),(25,1),(71,1),(74,1)}
        45:{2,4,5}:{(22,1),(23,1),(69,1),(73,1),(219,1)}
        46:{1,3,5}:{(23,1),(24,1),(73,1),(74,1),(150,1),(229,1),(240,1),(432,1)}
        47:{2,4,6}:{(24,1),(25,1),(71,1),(74,1),(75,1),(151,1),(218,1),(226,1)}
        48:{2,3,7}:{(25,1),(60,1),(75,1),(242,1)}
        49:{4,6,7}:{(26,1),(77,1),(292,1),(395,1)}
        50:{2,4,5,7}:{(27,1),(28,1),(29,1),(77,1),(79,1),(85,1),(156,1),(159,1),(185,1),(190,1),(292,1)}
        51:{3,6,7}:{(27,1),(79,1),(398,1)}
        52:{3,5,6}:{(28,1),(79,1),(81,1),(193,1),(300,1),(398,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(39,1),(79,1),(84,1),(85,1)}
        54:{2,6,7}:{(30,1),(85,1),(86,1),(466,1)}
        55:{1,3,4,6}:{(31,1),(32,1),(41,1),(81,1),(84,1),(87,1),(104,1),(163,1),(175,1),(193,1),(267,1)}
        56:{2,5,6}:{(31,1),(85,1),(87,1),(88,1),(389,1),(466,1)}
        57:{1,2,5,7}:{(33,1),(44,1),(89,1),(90,1),(93,1),(170,1),(465,1)}
        58:{2,4,5}:{(32,1),(87,1),(91,1),(92,1),(180,1),(288,1),(389,1)}
        59:{1,2,4,6}:{(33,1),(47,1),(89,1),(93,1),(94,1),(169,1),(178,1),(182,1),(271,1),(281,1),(388,1)}
        60:{1,3,7}:{(33,1),(48,1),(83,1),(94,1)}
        61:{3,5,7}:{(34,1),(35,1),(36,1),(96,1)}
        62:{2,4,6,7}:{(35,1),(37,1),(40,1),(96,1),(97,1),(101,1)}
        63:{2,5,6}:{(36,1),(37,1),(96,1),(98,1),(269,1)}
        64:{1,4,6}:{(37,1),(38,1),(43,1),(98,1),(99,1)}
        65:{2,4,5,7}:{(38,1),(44,1),(99,1),(100,1),(107,1),(108,1),(185,1),(190,1),(195,1),(292,1),(294,1)}
        66:{3,4,7}:{(39,1),(41,1),(101,1),(360,1)}
        67:{2,3,5,7}:{(39,1),(40,1),(42,1),(85,1),(96,1),(101,1),(102,1),(171,1)}
        68:{1,3,6,7}:{(40,1),(43,1),(86,1),(97,1),(102,1),(103,1),(186,1)}
        69:{2,4,6}:{(41,1),(42,1),(45,1),(101,1),(104,1)}
        70:{1,3,5,6}:{(42,1),(43,1),(46,1),(88,1),(98,1),(102,1),(104,1),(105,1),(175,1),(187,1),(193,1)}
        71:{2,6}:{(43,1),(44,1)}
        72:{2,3,5,7}:{(44,1),(48,1),(90,1),(100,1),(106,1),(107,1),(109,1),(195,1)}
        73:{1,4,5}:{(45,1),(46,1),(104,1),(108,1),(182,1),(294,1)}
        74:{2,5}:{(46,1),(47,1)}
        75:{2,3,6}:{(47,1),(48,1),(94,1),(109,1),(193,1),(272,1)}
        76:{2,3,4,7}:{(48,1),(95,1),(107,1),(110,1),(111,1),(297,1),(304,1),(384,1),(464,1)}
        77:{4,5,7}:{(49,1),(112,1),(113,1)}
        78:{3,4,6,7}:{(49,1),(51,1),(113,1),(114,1),(116,1),(201,1)}
        79:{3,5,7}:{(50,1),(51,1),(52,1),(116,1),(242,1)}
        80:{2,3,6,7}:{(51,1),(54,1),(114,1),(117,1),(118,1),(305,1)}
        81:{3,4,6}:{(52,1),(115,1),(116,1),(119,1),(239,1)}
        82:{2,3,5,6}:{(52,1),(56,1),(117,1),(119,1),(120,1),(128,1),(202,1),(206,1),(305,1)}
        83:{2,3,7}:{(60,1),(123,1),(124,1),(427,1)}
        84:{1,3,4,7}:{(53,1),(55,1),(66,1),(116,1),(125,1),(143,1),(210,1),(222,1),(242,1),(317,1)}
        85:{2,5,7}:{(53,1),(54,1),(56,1),(125,1),(126,1)}
        86:{1,6,7}:{(54,1),(126,1),(493,1)}
        87:{2,4,6}:{(55,1),(56,1),(58,1),(125,1),(128,1),(129,1),(226,1)}
        88:{1,5,6}:{(56,1),(126,1),(129,1),(432,1),(493,1)}
        89:{1,2,6}:{(57,1),(71,1),(131,1),(221,1),(493,1)}
        90:{1,3,5,7}:{(57,1),(60,1),(72,1),(121,1),(131,1),(132,1),(135,1),(229,1)}
        91:{2,3,5}:{(58,1),(122,1),(128,1),(133,1),(150,1),(313,1)}
        92:{1,4,5}:{(58,1),(129,1),(133,1),(341,1),(432,1)}
        93:{1,2,5}:{(59,1),(74,1),(135,1),(220,1),(229,1),(432,1)}
        94:{1,3,6}:{(59,1),(60,1),(75,1),(123,1),(135,1),(326,1)}
        95:{1,3,4,7}:{(60,1),(76,1),(124,1),(132,1),(136,1),(137,1),(208,1),(344,1),(427,1),(428,1),(492,1)}
        96:{2,5,7}:{(61,1),(62,1),(63,1),(138,1)}
        97:{1,4,6,7}:{(62,1),(64,1),(68,1),(138,1),(139,1),(143,1)}
        98:{1,5,6}:{(63,1),(64,1),(138,1),(140,1),(229,1)}
        99:{2,4,6}:{(64,1),(65,1),(71,1),(140,1),(141,1),(239,1)}
       100:{3,5,7}:{(65,1),(141,1),(142,1),(150,1),(240,1),(242,1)}
       101:{2,4,7}:{(66,1),(67,1),(69,1),(143,1)}
       102:{1,3,5,7}:{(67,1),(68,1),(70,1),(126,1),(138,1),(143,1),(144,1),(222,1),(237,1),(242,1)}
       103:{2,6,7}:{(68,1),(71,1),(144,1)}
       104:{1,4,6}:{(69,1),(70,1),(73,1),(143,1),(146,1),(239,1)}
       105:{2,5,6}:{(70,1),(71,1),(74,1),(144,1),(146,1),(226,1)}
       106:{2,3,6}:{(71,1),(72,1),(131,1),(141,1),(148,1)}
       107:{2,4,7}:{(72,1),(132,1),(142,1),(148,1),(151,1)}
       108:{2,4,5}:{(73,1),(74,1),(146,1),(150,1),(151,1)}
       109:{2,3,5}:{(74,1),(75,1),(135,1),(150,1),(151,1)}
       110:{2,3,4,6}:{(75,1),(76,1),(136,1),(148,1),(151,1),(152,1),(153,1),(245,1),(250,1),(327,1),(337,1),(426,1)}
       111:{2,3,5,7}:{(76,1),(137,1),(149,1),(152,1),(153,1),(349,1),(429,1)}
       112:{4,5,6}:{(77,1),(154,1),(395,1),(546,1)}
       113:{3,5,7}:{(77,1),(78,1),(154,1),(156,1)}
       114:{2,4,6,7}:{(78,1),(80,1),(156,1),(157,1),(159,1),(252,1)}
       115:{3,4,5}:{(81,1),(158,1),(294,1),(300,1),(505,1)}
       116:{3,4,7}:{(79,1),(81,1),(159,1),(292,1)}
       117:{2,3,5,7}:{(79,1),(80,1),(82,1),(85,1),(156,1),(159,1),(160,1),(171,1)}
       118:{1,3,6,7}:{(80,1),(86,1),(157,1),(160,1),(161,1),(257,1),(355,1)}
       119:{2,4,6}:{(81,1),(82,1),(158,1),(159,1),(163,1)}
       120:{1,3,5,6}:{(82,1),(88,1),(160,1),(163,1),(164,1),(175,1),(253,1),(258,1),(267,1),(355,1),(357,1)}
       121:{2,3,5,7}:{(83,1),(90,1),(165,1),(166,1),(168,1),(170,1),(261,1),(269,1)}
       122:{2,3,4}:{(91,1),(167,1),(197,1),(288,1),(364,1),(378,1)}
       123:{2,3,6}:{(83,1),(94,1),(168,1),(169,1),(378,1),(381,1)}
       124:{2,4,7}:{(83,1),(95,1),(169,1),(170,1),(514,1)}
       125:{2,4,7}:{(84,1),(85,1),(87,1),(171,1),(172,1),(277,1)}
       126:{1,5,7}:{(85,1),(86,1),(88,1),(172,1)}
       127:{1,2,6,7}:{(86,1),(89,1),(103,1),(161,1),(173,1),(174,1),(276,1),(439,1),(466,1),(515,1),(539,1)}
       128:{2,3,6}:{(87,1),(91,1),(171,1),(175,1),(193,1),(267,1)}
       129:{1,4,6}:{(87,1),(88,1),(92,1),(172,1),(175,1)}
       130:{1,2,5,6}:{(88,1),(89,1),(93,1),(105,1),(164,1),(173,1),(176,1),(177,1),(275,1),(281,1),(362,1),(389,1),(439,1),(466,1),(468,1),(512,1)}
       131:{1,3,6}:{(89,1),(90,1),(106,1),(165,1),(178,1)}
       132:{1,4,7}:{(90,1),(107,1),(166,1),(178,1),(182,1)}
       133:{1,3,5}:{(91,1),(92,1),(167,1),(175,1),(180,1)}
       134:{1,2,4,5}:{(92,1),(93,1),(108,1),(176,1),(180,1),(181,1),(182,1),(259,1),(271,1),(274,1),(284,1),(288,1),(362,1),(389,1),(392,1),(449,1),(462,1),(506,1)}
       135:{1,3,5}:{(93,1),(94,1),(109,1),(168,1),(182,1)}
       136:{1,3,4,6}:{(94,1),(95,1),(110,1),(169,1),(178,1),(182,1),(183,1),(184,1),(260,1),(273,1),(290,1),(379,1),(381,1),(388,1),(463,1)}
       137:{1,3,5,7}:{(95,1),(111,1),(170,1),(179,1),(183,1),(184,1),(261,1),(465,1)}
       138:{1,5,7}:{(96,1),(97,1),(98,1),(185,1)}
       139:{2,4,6,7}:{(97,1),(99,1),(103,1),(185,1),(186,1),(190,1),(292,1)}
       140:{2,5,6}:{(98,1),(99,1),(185,1),(187,1),(195,1)}
       141:{3,6}:{(99,1),(100,1)}
       142:{3,4,7}:{(100,1),(107,1),(188,1),(197,1),(292,1)}
       143:{1,4,7}:{(101,1),(102,1),(104,1),(190,1),(292,1)}
       144:{2,5,7}:{(102,1),(103,1),(105,1),(190,1),(277,1)}
       145:{2,3,6,7}:{(103,1),(106,1),(174,1),(186,1),(191,1),(192,1),(398,1),(466,1),(496,1),(539,1),(549,1)}
       146:{2,4,6}:{(104,1),(105,1),(108,1),(190,1),(193,1)}
       147:{2,3,5,6}:{(105,1),(106,1),(109,1),(177,1),(187,1),(191,1),(193,1),(194,1),(195,1),(282,1),(299,1),(300,1),(389,1),(398,1),(448,1),(466,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       148:{2,4,6}:{(106,1),(107,1),(178,1),(188,1),(195,1)}
       149:{2,4,5,7}:{(107,1),(111,1),(179,1),(189,1),(195,1),(196,1),(198,1),(302,1),(304,1)}
       150:{3,5}:{(108,1),(193,1),(197,1)}
       151:{2,4}:{(109,1),(182,1),(197,1)}
       152:{2,3,5}:{(110,1),(183,1),(195,1),(198,1),(300,1),(389,1)}
       153:{2,3,6}:{(111,1),(184,1),(196,1),(398,1),(466,1)}
       154:{3,5,6}:{(112,1),(113,1),(201,1),(202,1),(540,1)}
       155:{3,4,5,7}:{(113,1),(115,1),(116,1),(201,1),(203,1),(345,1),(349,1),(520,1),(540,1)}
       156:{2,5,7}:{(113,1),(114,1),(202,1),(204,1)}
       157:{1,4,6,7}:{(114,1),(118,1),(204,1),(205,1),(210,1),(306,1)}
       158:{2,4,5}:{(115,1),(119,1),(206,1),(207,1),(480,1)}
       159:{2,4,7}:{(116,1),(117,1),(119,1),(210,1)}
       160:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(204,1),(210,1),(211,1),(222,1),(310,1),(317,1)}
       161:{2,6,7}:{(118,1),(211,1),(401,1)}
       162:{2,3,4,6}:{(119,1),(122,1),(128,1),(206,1),(209,1),(213,1),(245,1),(305,1),(337,1),(419,1),(480,1),(516,1)}
       163:{1,4,6}:{(119,1),(120,1),(207,1),(210,1),(214,1),(403,1)}
       164:{2,5,6}:{(120,1),(211,1),(214,1),(226,1),(312,1),(401,1)}
       165:{2,3,6}:{(121,1),(131,1),(216,1),(221,1),(315,1)}
       166:{2,4,7}:{(121,1),(132,1),(208,1),(216,1),(219,1)}
       167:{1,3,4}:{(122,1),(133,1),(218,1),(326,1),(341,1)}
       168:{2,3,5}:{(123,1),(135,1),(219,1),(220,1),(328,1)}
       169:{2,4,6}:{(123,1),(124,1),(136,1),(219,1),(220,1),(221,1),(424,1),(491,1)}
       170:{2,5,7}:{(124,1),(137,1),(220,1),(221,1)}
       171:{2,3,7}:{(125,1),(128,1),(222,1),(242,1),(317,1)}
       172:{1,4,7}:{(125,1),(126,1),(129,1),(222,1)}
       173:{1,2,5,7}:{(126,1),(127,1),(130,1),(144,1),(211,1),(223,1),(224,1),(330,1),(331,1),(429,1),(495,1),(529,1)}
       174:{1,3,6,7}:{(127,1),(131,1),(145,1),(212,1),(224,1),(225,1),(430,1),(471,1),(493,1)}
       175:{1,3,6}:{(128,1),(129,1),(133,1),(222,1),(226,1)}
       176:{1,2,4,6}:{(129,1),(130,1),(134,1),(146,1),(214,1),(223,1),(226,1),(227,1),(228,1),(329,1),(337,1),(435,1),(491,1),(525,1)}
       177:{1,3,5,6}:{(130,1),(131,1),(135,1),(147,1),(215,1),(224,1),(227,1),(228,1),(229,1),(335,1),(336,1),(338,1),(409,1),(430,1),(432,1),(471,1),(493,1),(517,1)}
       178:{1,4,6}:{(131,1),(132,1),(148,1),(216,1),(229,1)}
       179:{1,4,5,7}:{(132,1),(137,1),(149,1),(217,1),(229,1),(230,1),(234,1),(340,1),(344,1)}
       180:{2,5}:{(133,1),(218,1),(226,1)}
       181:{1,3,5}:{(134,1),(150,1),(227,1),(232,1),(233,1),(313,1),(326,1),(328,1),(524,1)}
       182:{1,4}:{(135,1),(151,1),(219,1)}
       183:{1,3,5}:{(136,1),(152,1),(220,1),(229,1),(234,1),(314,1),(328,1),(432,1)}
       184:{1,3,6}:{(137,1),(153,1),(221,1),(230,1),(315,1),(493,1)}
       185:{2,5,7}:{(138,1),(139,1),(140,1),(237,1)}
       186:{3,6,7}:{(139,1),(141,1),(237,1),(242,1)}
       187:{3,5,6}:{(140,1),(141,1),(237,1),(239,1),(240,1)}
       188:{3,4,6}:{(141,1),(142,1),(148,1),(239,1),(240,1)}
       189:{3,4,5,7}:{(142,1),(149,1),(240,1),(241,1),(249,1),(345,1),(348,1),(349,1),(354,1)}
       190:{2,4,7}:{(143,1),(144,1),(146,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(147,1),(224,1),(237,1),(242,1),(243,1),(244,1),(332,1),(349,1),(429,1),(529,1),(545,1),(551,1)}
       192:{2,4,6,7}:{(145,1),(148,1),(225,1),(238,1),(243,1),(244,1),(350,1),(516,1)}
       193:{3,6}:{(146,1),(150,1),(242,1)}
       194:{2,4,6}:{(147,1),(151,1),(228,1),(239,1),(243,1),(245,1),(246,1),(480,1),(550,1)}
       195:{2,5}:{(148,1),(229,1),(240,1)}
       196:{2,4,6}:{(149,1),(153,1),(230,1),(241,1),(247,1)}
       197:{3,4}:{(150,1),(151,1)}
       198:{2,4,5}:{(151,1),(152,1),(234,1),(249,1),(250,1)}
       199:{2,3,5,6}:{(152,1),(153,1),(235,1),(247,1),(250,1),(251,1),(352,1),(426,1),(433,1)}
       200:{2,3,6,7}:{(153,1),(236,1),(248,1),(251,1),(438,1),(494,1)}
       201:{3,4,6}:{(154,1),(155,1),(252,1),(395,1),(398,1)}
       202:{2,5,6}:{(154,1),(156,1),(252,1),(253,1),(531,1)}
       203:{2,4,5,7}:{(155,1),(156,1),(158,1),(159,1),(252,1),(254,1),(255,1),(501,1),(531,1)}
       204:{1,5,7}:{(156,1),(157,1),(253,1),(256,1)}
       205:{2,4,6,7}:{(157,1),(161,1),(256,1),(257,1),(263,1),(356,1),(360,1)}
       206:{2,3,5}:{(158,1),(162,1),(258,1),(300,1),(389,1),(531,1)}
       207:{1,4,5}:{(158,1),(163,1),(258,1),(259,1),(442,1),(449,1)}
       208:{3,4,7}:{(166,1),(260,1),(261,1),(273,1),(452,1)}
       209:{2,3,4,7}:{(159,1),(162,1),(171,1),(254,1),(262,1),(297,1),(384,1),(453,1),(501,1)}
       210:{1,4,7}:{(159,1),(160,1),(163,1),(263,1),(360,1)}
       211:{2,5,7}:{(160,1),(161,1),(164,1),(263,1),(277,1)}
       212:{2,3,6,7}:{(161,1),(165,1),(174,1),(257,1),(264,1),(265,1),(276,1),(367,1),(440,1),(456,1),(466,1)}
       213:{1,3,4,6}:{(162,1),(163,1),(167,1),(175,1),(258,1),(262,1),(266,1),(267,1),(355,1),(364,1),(373,1),(388,1),(441,1),(449,1),(497,1)}
       214:{2,4,6}:{(163,1),(164,1),(259,1),(263,1),(267,1)}
       215:{2,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(264,1),(267,1),(268,1),(269,1),(275,1),(282,1),(357,1),(363,1),(366,1),(372,1),(375,1),(381,1),(389,1),(440,1),(456,1),(466,1),(498,1)}
       216:{2,4,6}:{(165,1),(166,1),(178,1),(260,1),(269,1)}
       217:{2,4,5,7}:{(166,1),(170,1),(179,1),(261,1),(269,1),(270,1),(274,1),(365,1),(377,1),(382,1),(452,1)}
       218:{2,4}:{(167,1),(180,1),(272,1)}
       219:{2,4}:{(168,1),(182,1),(273,1)}
       220:{2,5}:{(169,1),(183,1)}
       221:{2,6}:{(170,1),(184,1)}
       222:{1,3,7}:{(171,1),(172,1),(175,1),(277,1)}
       223:{1,2,4,7}:{(172,1),(173,1),(176,1),(190,1),(263,1),(277,1),(278,1),(279,1),(382,1),(384,1),(470,1),(514,1),(538,1)}
       224:{1,3,5,7}:{(173,1),(174,1),(177,1),(191,1),(264,1),(278,1),(279,1),(280,1),(383,1),(465,1)}
       225:{1,4,6,7}:{(174,1),(178,1),(192,1),(265,1),(279,1),(280,1),(386,1),(497,1)}
       226:{2,6}:{(175,1),(180,1),(277,1)}
       227:{1,3,6}:{(176,1),(181,1),(193,1),(267,1),(278,1),(282,1),(381,1),(537,1)}
       228:{1,4,6}:{(177,1),(182,1),(194,1),(268,1),(279,1),(284,1),(449,1)}
       229:{1,5}:{(178,1),(195,1),(269,1)}
       230:{1,4,6}:{(179,1),(184,1),(196,1),(270,1),(285,1)}
       231:{1,2,5}:{(180,1),(271,1),(281,1),(287,1),(462,1)}
       232:{2,3,5}:{(180,1),(181,1),(272,1),(282,1),(287,1),(288,1),(378,1),(389,1),(462,1)}
       233:{1,3,4}:{(181,1),(182,1),(197,1),(273,1),(288,1),(364,1),(449,1),(505,1)}
       234:{1,4,5}:{(182,1),(183,1),(198,1),(274,1),(290,1),(365,1)}
       235:{1,3,5,6}:{(183,1),(184,1),(199,1),(275,1),(285,1),(290,1),(291,1),(366,1),(381,1),(463,1),(468,1)}
       236:{1,3,6,7}:{(184,1),(200,1),(276,1),(286,1),(291,1),(367,1),(515,1)}
       237:{3,5,7}:{(185,1),(186,1),(187,1),(292,1)}
       238:{3,4,6,7}:{(186,1),(188,1),(192,1),(292,1),(293,1),(297,1),(395,1),(398,1),(530,1),(549,1),(552,1)}
       239:{4,6}:{(187,1),(292,1),(294,1)}
       240:{3,5}:{(188,1),(195,1),(294,1)}
       241:{3,4,6}:{(189,1),(196,1),(295,1),(395,1),(398,1)}
       242:{3,7}:{(190,1),(193,1)}
       243:{2,4,7}:{(191,1),(194,1),(279,1),(292,1),(297,1),(552,1)}
       244:{2,5,7}:{(192,1),(195,1),(280,1),(293,1),(299,1),(531,1)}
       245:{3,4,6}:{(193,1),(194,1),(197,1),(297,1),(300,1),(398,1),(505,1),(537,1)}
       246:{2,4,5}:{(194,1),(195,1),(284,1),(294,1),(300,1),(389,1),(531,1),(546,1)}
       247:{2,5,6}:{(195,1),(196,1),(285,1),(295,1),(302,1)}
       248:{2,4,6,7}:{(196,1),(200,1),(286,1),(296,1),(302,1),(304,1)}
       249:{3,4,5}:{(197,1),(198,1),(300,1),(303,1),(546,1)}
       250:{2,4,6}:{(198,1),(199,1),(290,1),(303,1),(304,1)}
       251:{2,3,5,7}:{(199,1),(200,1),(291,1),(302,1),(304,1),(400,1),(464,1),(469,1)}
       252:{2,4,6}:{(201,1),(202,1),(203,1),(305,1),(306,1)}
       253:{1,5,6}:{(202,1),(204,1),(306,1),(307,1),(517,1)}
       254:{2,3,5,7}:{(203,1),(206,1),(209,1),(305,1),(308,1),(349,1),(429,1)}
       255:{1,4,5,7}:{(203,1),(204,1),(207,1),(210,1),(306,1),(308,1),(309,1),(476,1),(517,1)}
       256:{2,5,7}:{(204,1),(205,1),(307,1),(310,1)}
       257:{3,6,7}:{(205,1),(310,1),(317,1),(402,1)}
       258:{1,3,5}:{(206,1),(207,1),(213,1),(312,1),(313,1),(432,1),(473,1),(517,1)}
       259:{2,4,5}:{(207,1),(214,1),(312,1),(313,1),(410,1)}
       260:{3,4,6}:{(208,1),(216,1),(314,1),(315,1),(412,1)}
       261:{3,5,7}:{(208,1),(217,1),(314,1),(315,1),(328,1),(427,1)}
       262:{1,3,4,7}:{(209,1),(210,1),(213,1),(222,1),(308,1),(316,1),(317,1),(406,1),(414,1),(428,1),(476,1)}
       263:{2,4,7}:{(210,1),(211,1),(214,1),(317,1)}
       264:{2,3,5,7}:{(211,1),(212,1),(215,1),(224,1),(310,1),(317,1),(318,1),(319,1),(330,1),(332,1),(413,1),(416,1),(427,1),(429,1)}
       265:{2,4,6,7}:{(212,1),(216,1),(225,1),(311,1),(318,1),(319,1),(417,1),(472,1)}
       266:{2,4,6}:{(213,1),(218,1),(226,1),(312,1),(316,1),(321,1),(401,1),(410,1)}
       267:{3,6}:{(214,1),(313,1),(317,1)}
       268:{2,4,6}:{(215,1),(219,1),(228,1),(318,1),(322,1),(323,1),(403,1),(410,1),(412,1)}
       269:{2,5}:{(216,1),(229,1),(314,1)}
       270:{2,4,6}:{(217,1),(221,1),(230,1),(315,1),(324,1),(412,1)}
       271:{1,2,4}:{(218,1),(231,1),(326,1),(341,1),(424,1)}
       272:{2,3}:{(218,1),(326,1)}
       273:{3,4}:{(219,1),(328,1)}
       274:{2,4,5}:{(219,1),(220,1),(234,1),(328,1),(329,1)}
       275:{2,5,6}:{(220,1),(221,1),(235,1),(329,1),(330,1),(491,1)}
       276:{2,6,7}:{(221,1),(236,1),(330,1)}
       277:{2,7}:{(222,1),(226,1)}
       278:{1,3,7}:{(223,1),(227,1),(242,1),(317,1),(332,1),(427,1),(545,1)}
       279:{1,4,7}:{(224,1),(228,1),(243,1),(318,1)}
       280:{1,5,7}:{(225,1),(229,1),(244,1),(319,1),(335,1),(517,1)}
       281:{1,2,6}:{(226,1),(231,1),(331,1),(336,1),(491,1)}
       282:{2,3,6}:{(226,1),(227,1),(232,1),(332,1),(336,1),(337,1),(491,1)}
       283:{1,3,4,6}:{(227,1),(228,1),(233,1),(245,1),(322,1),(333,1),(337,1),(338,1),(430,1)}
       284:{1,4,5}:{(228,1),(229,1),(246,1),(323,1),(338,1),(432,1),(517,1)}
       285:{1,5,6}:{(229,1),(230,1),(247,1),(324,1),(340,1)}
       286:{1,4,6,7}:{(230,1),(236,1),(248,1),(325,1),(340,1),(344,1)}
       287:{1,3,5}:{(231,1),(232,1),(326,1),(336,1),(341,1),(432,1)}
       288:{2,4}:{(232,1),(233,1),(341,1)}
       289:{1,3,4,5}:{(233,1),(234,1),(249,1),(328,1),(338,1),(342,1),(343,1),(411,1),(425,1),(481,1),(524,1)}
       290:{1,4,6}:{(234,1),(235,1),(250,1),(329,1),(344,1),(412,1)}
       291:{1,3,5,7}:{(235,1),(236,1),(251,1),(330,1),(340,1),(344,1),(413,1),(427,1),(492,1),(495,1)}
       292:{4,7}:{(237,1),(239,1)}
       293:{3,5,7}:{(238,1),(240,1),(244,1),(345,1),(346,1),(540,1)}
       294:{4,5}:{(239,1),(240,1)}
       295:{3,5,6}:{(240,1),(241,1),(247,1),(347,1),(348,1)}
       296:{3,4,6,7}:{(241,1),(248,1),(348,1),(354,1),(437,1),(438,1)}
       297:{3,4,7}:{(242,1),(243,1),(245,1),(349,1),(545,1)}
       298:{2,4,5,7}:{(243,1),(244,1),(246,1),(334,1),(345,1),(349,1),(350,1),(429,1)}
       299:{2,5,6}:{(244,1),(335,1),(346,1),(350,1)}
       300:{3,5}:{(245,1),(246,1)}
       301:{2,4,5,6}:{(246,1),(247,1),(250,1),(339,1),(347,1),(350,1),(352,1),(353,1),(433,1),(525,1),(541,1),(550,1)}
       302:{2,5,7}:{(247,1),(248,1),(340,1),(348,1)}
       303:{3,4,6}:{(249,1),(250,1),(352,1),(354,1),(550,1)}
       304:{2,4,7}:{(250,1),(251,1),(344,1),(354,1)}
       305:{2,3,6}:{(252,1),(254,1),(355,1),(398,1),(466,1)}
       306:{1,4,6}:{(252,1),(253,1),(255,1),(355,1),(356,1)}
       307:{2,5,6}:{(253,1),(256,1),(356,1),(357,1),(498,1)}
       308:{1,3,5,7}:{(254,1),(255,1),(258,1),(262,1),(355,1),(358,1),(359,1),(465,1)}
       309:{2,4,5,7}:{(255,1),(256,1),(259,1),(263,1),(356,1),(358,1),(359,1),(360,1),(442,1),(444,1),(498,1)}
       310:{3,5,7}:{(256,1),(257,1),(357,1),(360,1)}
       311:{3,4,6,7}:{(257,1),(260,1),(265,1),(360,1),(361,1),(367,1),(370,1),(441,1),(446,1),(452,1),(456,1)}
       312:{2,5}:{(258,1),(266,1)}
       313:{3,5}:{(259,1),(267,1),(364,1)}
       314:{3,5}:{(260,1),(269,1),(365,1)}
       315:{3,6}:{(261,1),(270,1)}
       316:{2,4,7}:{(262,1),(266,1),(277,1),(358,1),(369,1)}
       317:{3,7}:{(263,1),(267,1)}
       318:{2,4,7}:{(264,1),(268,1),(279,1),(360,1),(370,1),(452,1)}
       319:{2,5,7}:{(265,1),(269,1),(280,1),(361,1),(372,1),(498,1)}
       320:{1,2,4,6}:{(266,1),(271,1),(281,1),(362,1),(368,1),(373,1),(388,1),(439,1),(449,1),(458,1),(497,1)}
       321:{2,3,6}:{(266,1),(267,1),(272,1),(363,1),(369,1),(373,1)}
       322:{3,4,6}:{(267,1),(268,1),(273,1),(364,1),(370,1),(375,1),(381,1),(456,1)}
       323:{2,4,5}:{(268,1),(269,1),(284,1),(365,1),(375,1),(389,1),(442,1),(498,1)}
       324:{2,5,6}:{(269,1),(270,1),(285,1),(366,1),(377,1)}
       325:{2,4,6,7}:{(270,1),(276,1),(286,1),(367,1),(377,1),(382,1),(452,1)}
       326:{1,3}:{(271,1),(272,1),(378,1)}
       327:{2,3,4}:{(272,1),(273,1),(288,1),(379,1),(380,1),(505,1)}
       328:{3,5}:{(273,1),(274,1),(381,1)}
       329:{2,4,6}:{(274,1),(275,1),(290,1),(381,1),(382,1)}
       330:{2,5,7}:{(275,1),(276,1),(291,1),(382,1),(514,1)}
       331:{1,2,7}:{(277,1),(281,1),(383,1),(514,1)}
       332:{2,3,7}:{(277,1),(278,1),(282,1),(383,1),(384,1),(514,1)}
       333:{1,3,4,7}:{(278,1),(279,1),(283,1),(297,1),(370,1),(384,1),(385,1)}
       334:{1,4,5,7}:{(279,1),(280,1),(284,1),(298,1),(371,1),(385,1),(386,1),(465,1)}
       335:{1,5,6}:{(280,1),(299,1),(372,1),(386,1)}
       336:{1,3,6}:{(281,1),(282,1),(287,1),(383,1),(388,1)}
       337:{2,4,6}:{(282,1),(283,1),(288,1),(384,1),(388,1),(389,1),(466,1)}
       338:{1,3,5}:{(283,1),(284,1),(300,1),(375,1),(389,1)}
       339:{1,4,5,6}:{(284,1),(285,1),(290,1),(301,1),(376,1),(386,1),(390,1),(391,1),(468,1),(507,1),(532,1)}
       340:{1,5,7}:{(285,1),(286,1),(302,1),(377,1)}
       341:{1,4}:{(287,1),(288,1)}
       342:{2,4,5}:{(288,1),(289,1),(380,1),(389,1),(392,1),(393,1),(462,1)}
       343:{1,3,4,6}:{(289,1),(290,1),(303,1),(381,1),(390,1),(393,1),(394,1),(451,1),(463,1),(507,1),(537,1)}
       344:{1,4,7}:{(290,1),(291,1),(304,1),(382,1),(452,1)}
       345:{4,5,7}:{(292,1),(293,1),(294,1),(395,1),(546,1),(552,1)}
       346:{3,5,6}:{(293,1),(299,1),(395,1),(398,1)}
       347:{4,5,6}:{(294,1),(295,1),(395,1),(397,1)}
       348:{3,5,7}:{(295,1),(296,1),(302,1),(397,1)}
       349:{3,5,7}:{(297,1),(298,1),(300,1),(398,1)}
       350:{2,4,6}:{(298,1),(299,1),(386,1),(395,1),(398,1),(466,1)}
       351:{2,5,6,7}:{(299,1),(302,1),(387,1),(396,1),(399,1),(548,1)}
       352:{3,5,6}:{(300,1),(301,1),(303,1),(398,1),(400,1),(537,1)}
       353:{2,4,5,7}:{(301,1),(302,1),(304,1),(391,1),(397,1),(399,1),(400,1),(469,1),(538,1),(548,1),(552,1)}
       354:{3,4,7}:{(303,1),(304,1),(400,1),(552,1)}
       355:{1,3,6}:{(305,1),(306,1),(308,1),(401,1),(402,1),(493,1)}
       356:{2,4,6}:{(306,1),(307,1),(309,1),(401,1),(402,1),(403,1)}
       357:{3,5,6}:{(307,1),(310,1),(402,1),(403,1),(473,1)}
       358:{2,5,7}:{(308,1),(312,1),(316,1),(401,1)}
       359:{3,5,7}:{(309,1),(313,1),(317,1),(402,1),(406,1),(473,1)}
       360:{4,7}:{(310,1),(403,1)}
       361:{3,5,7}:{(311,1),(314,1),(319,1),(407,1),(408,1),(473,1)}
       362:{1,2,5}:{(312,1),(320,1),(409,1),(432,1),(488,1),(517,1)}
       363:{2,3,5}:{(312,1),(313,1),(321,1),(409,1),(410,1)}
       364:{3,4}:{(313,1),(410,1)}
       365:{4,5}:{(314,1),(412,1)}
       366:{3,5,6}:{(314,1),(315,1),(324,1),(412,1),(413,1)}
       367:{3,6,7}:{(315,1),(325,1),(413,1),(427,1)}
       368:{1,2,4,7}:{(316,1),(320,1),(331,1),(404,1),(414,1),(428,1),(476,1),(484,1)}
       369:{2,3,7}:{(316,1),(317,1),(321,1),(414,1)}
       370:{3,4,7}:{(317,1),(318,1),(322,1),(416,1),(427,1)}
       371:{2,4,5,7}:{(318,1),(319,1),(323,1),(334,1),(407,1),(416,1),(417,1),(429,1)}
       372:{2,5,6}:{(319,1),(335,1),(408,1),(417,1)}
       373:{1,3,6}:{(320,1),(321,1),(326,1),(409,1),(414,1),(419,1)}
       374:{2,3,4,6}:{(321,1),(322,1),(327,1),(337,1),(410,1),(415,1),(420,1),(421,1),(426,1),(472,1),(482,1),(486,1)}
       375:{3,5}:{(322,1),(323,1)}
       376:{2,4,5,6}:{(323,1),(324,1),(329,1),(339,1),(412,1),(417,1),(422,1),(423,1),(433,1),(474,1),(482,1),(518,1)}
       377:{2,5,7}:{(324,1),(325,1),(340,1),(413,1)}
       378:{2,3}:{(326,1),(424,1)}
       379:{1,3,4}:{(326,1),(327,1),(341,1),(424,1),(425,1)}
       380:{2,3,5}:{(327,1),(328,1),(342,1),(425,1),(426,1),(524,1)}
       381:{3,6}:{(328,1),(329,1),(427,1)}
       382:{2,4,7}:{(329,1),(330,1),(344,1),(427,1)}
       383:{1,3,7}:{(331,1),(332,1),(336,1),(428,1)}
       384:{2,4,7}:{(332,1),(333,1),(337,1),(428,1),(429,1)}
       385:{1,3,5,7}:{(333,1),(334,1),(338,1),(349,1),(416,1),(429,1),(430,1)}
       386:{1,4,6}:{(334,1),(335,1),(350,1),(417,1),(430,1),(493,1)}
       387:{1,5,6,7}:{(335,1),(340,1),(351,1),(418,1),(431,1),(542,1)}
       388:{1,4,6}:{(336,1),(337,1),(341,1),(428,1),(432,1),(493,1)}
       389:{2,5}:{(337,1),(338,1),(432,1)}
       390:{1,3,5,6}:{(338,1),(339,1),(343,1),(352,1),(422,1),(430,1),(433,1),(434,1)}
       391:{1,4,5,7}:{(339,1),(340,1),(344,1),(353,1),(423,1),(431,1),(434,1),(495,1),(526,1),(542,1)}
       392:{1,4,5}:{(341,1),(342,1),(425,1),(432,1),(435,1)}
       393:{2,4,6}:{(342,1),(343,1),(426,1),(433,1),(435,1),(436,1),(491,1)}
       394:{1,3,4,7}:{(343,1),(344,1),(354,1),(427,1),(434,1),(436,1),(483,1),(492,1),(526,1),(545,1)}
       395:{4,6}:{(345,1),(346,1)}
       396:{3,5,6,7}:{(346,1),(348,1),(351,1),(437,1),(438,1),(551,1)}
       397:{4,5,7}:{(347,1),(348,1),(437,1)}
       398:{3,6}:{(349,1),(350,1)}
       399:{2,4,6,7}:{(350,1),(351,1),(353,1),(431,1),(437,1),(438,1),(494,1)}
       400:{3,5,7}:{(352,1),(353,1),(354,1),(438,1),(545,1)}
       401:{2,6}:{(355,1),(358,1)}
       402:{3,6}:{(356,1),(359,1)}
       403:{4,6}:{(357,1),(360,1),(442,1)}
       404:{1,2,5,7}:{(358,1),(362,1),(368,1),(439,1),(443,1),(465,1),(509,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(363,1),(369,1),(440,1),(443,1),(444,1),(498,1)}
       406:{3,4,7}:{(359,1),(360,1),(364,1),(441,1),(444,1)}
       407:{4,5,7}:{(360,1),(361,1),(365,1),(442,1),(446,1),(452,1)}
       408:{3,5,6}:{(361,1),(372,1),(446,1),(456,1)}
       409:{1,3,5}:{(362,1),(363,1),(373,1),(448,1),(449,1)}
       410:{2,4}:{(363,1),(364,1),(449,1)}
       411:{3,4,5}:{(364,1),(365,1),(375,1),(450,1),(451,1)}
       412:{4,6}:{(365,1),(366,1),(452,1)}
       413:{3,5,7}:{(366,1),(367,1),(377,1),(452,1)}
       414:{1,3,7}:{(368,1),(369,1),(373,1),(453,1)}
       415:{2,3,4,7}:{(369,1),(370,1),(374,1),(384,1),(444,1),(454,1),(455,1),(464,1),(508,1)}
       416:{3,5,7}:{(370,1),(371,1),(375,1),(456,1)}
       417:{2,4,6}:{(371,1),(372,1),(386,1),(446,1),(456,1),(466,1)}
       418:{2,5,6,7}:{(372,1),(377,1),(387,1),(447,1),(457,1),(533,1)}
       419:{2,3,6}:{(373,1),(378,1),(448,1),(453,1),(458,1),(537,1)}
       420:{1,3,4,6}:{(373,1),(374,1),(379,1),(388,1),(449,1),(454,1),(458,1),(459,1),(463,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       421:{2,3,5}:{(374,1),(375,1),(389,1),(450,1),(459,1),(498,1)}
       422:{3,5,6}:{(375,1),(376,1),(381,1),(451,1),(456,1),(461,1)}
       423:{2,4,5,7}:{(376,1),(377,1),(382,1),(391,1),(452,1),(457,1),(461,1),(469,1),(500,1),(508,1),(533,1)}
       424:{2,4}:{(378,1),(379,1),(462,1)}
       425:{1,3,5}:{(379,1),(380,1),(392,1),(462,1),(463,1)}
       426:{2,3,6}:{(380,1),(381,1),(393,1),(463,1),(464,1),(537,1)}
       427:{3,7}:{(381,1),(382,1)}
       428:{1,4,7}:{(383,1),(384,1),(388,1),(465,1)}
       429:{2,5,7}:{(384,1),(385,1),(389,1),(465,1),(466,1)}
       430:{1,3,6}:{(385,1),(386,1),(398,1),(456,1),(466,1)}
       431:{1,4,6,7}:{(386,1),(387,1),(391,1),(399,1),(457,1),(467,1),(515,1)}
       432:{1,5}:{(388,1),(389,1)}
       433:{2,5,6}:{(389,1),(390,1),(393,1),(466,1),(468,1),(469,1)}
       434:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(461,1),(467,1),(469,1)}
       435:{1,4,6}:{(392,1),(393,1),(463,1),(468,1),(470,1)}
       436:{2,4,7}:{(393,1),(394,1),(464,1),(469,1),(470,1),(514,1)}
       437:{4,6,7}:{(395,1),(396,1),(397,1),(552,1)}
       438:{3,6,7}:{(398,1),(399,1),(400,1)}
       439:{1,2,6}:{(401,1),(404,1),(471,1),(493,1),(527,1)}
       440:{2,3,6}:{(401,1),(402,1),(405,1),(471,1),(472,1)}
       441:{3,4,6}:{(402,1),(403,1),(406,1),(472,1),(473,1)}
       442:{4,5}:{(403,1),(473,1)}
       443:{1,3,5,7}:{(404,1),(405,1),(409,1),(414,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(405,1),(406,1),(410,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(406,1),(407,1),(411,1),(416,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(407,1),(408,1)}
       447:{3,5,6,7}:{(408,1),(413,1),(418,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(409,1),(419,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(409,1),(410,1),(480,1)}
       450:{2,4,5}:{(410,1),(411,1),(421,1),(481,1),(482,1)}
       451:{3,4,6}:{(411,1),(412,1),(422,1),(482,1),(483,1)}
       452:{4,7}:{(412,1),(413,1)}
       453:{2,3,7}:{(414,1),(419,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(414,1),(415,1),(420,1),(428,1),(476,1),(484,1),(485,1),(492,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(415,1),(416,1),(421,1),(429,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(416,1),(417,1)}
       457:{2,4,6,7}:{(417,1),(418,1),(423,1),(431,1),(479,1),(487,1),(494,1)}
       458:{2,4,6}:{(419,1),(420,1),(424,1),(480,1),(484,1),(488,1),(491,1),(527,1)}
       459:{1,3,5}:{(420,1),(421,1),(432,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(421,1),(422,1),(426,1),(433,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(422,1),(423,1),(427,1),(483,1),(487,1)}
       462:{2,5}:{(424,1),(425,1),(491,1)}
       463:{1,3,6}:{(425,1),(426,1),(435,1),(491,1),(492,1)}
       464:{2,3,7}:{(426,1),(427,1),(436,1),(492,1),(545,1)}
       465:{1,5,7}:{(428,1),(429,1),(432,1),(493,1)}
       466:{2,6}:{(429,1),(430,1),(493,1)}
       467:{1,3,6,7}:{(430,1),(431,1),(434,1),(438,1),(487,1),(494,1)}
       468:{1,5,6}:{(432,1),(433,1),(435,1),(493,1),(495,1)}
       469:{2,5,7}:{(433,1),(434,1),(436,1),(494,1),(495,1)}
       470:{1,4,7}:{(435,1),(436,1),(492,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(514,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(465,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(466,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(463,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(464,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{2,6}:{(462,1),(463,1),(514,1)}
       492:{1,3,7}:{(463,1),(464,1),(470,1),(514,1)}
       493:{1,6}:{(465,1),(466,1)}
       494:{2,6,7}:{(466,1),(467,1),(469,1),(515,1)}
       495:{1,5,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(493,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(494,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(491,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(492,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{2,7}:{(491,1),(492,1)}
       515:{1,6,7}:{(493,1),(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(515,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(514,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 686 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(35,1),(68,1),(78,1),(84,1),(86,1),(121,1),(128,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(23,1),(49,1),(59,1),(61,1),(98,1),(105,1),(111,1),(114,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(55,1),(104,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(128,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(127,1),(135,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(105,1),(159,1),(160,1),(161,1),(164,1),(205,1),(209,1),(229,1),(241,1)}
         8:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(55,1),(103,1),(104,1)}
         9:{2,3,6,7}:{(3,1),(15,1),(20,1),(61,1),(100,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(158,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(49,1),(97,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(55,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(9,1),(27,1),(29,1),(73,1),(130,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(10,1),(29,1),(30,1),(66,1),(135,1),(185,1),(189,1),(222,1),(237,1)}
        17:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(13,1),(33,1),(34,1),(35,1)}
        19:{2,3,4,6,7}:{(9,1),(28,1),(36,1),(38,1),(80,1),(83,1),(122,1),(128,1),(137,1),(175,1),(182,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(29,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(72,1),(77,1),(87,1),(127,1),(132,1),(139,1),(188,1),(190,1),(224,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(34,1),(41,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(164,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(19,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(20,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(21,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(22,1),(49,1),(50,1),(51,1),(65,1),(91,1),(97,1),(99,1),(115,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(210,1),(232,1),(234,1),(241,1)}
        32:{2,5,6,7}:{(17,1),(21,1),(52,1),(104,1),(164,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(23,1),(52,1),(53,1)}
        34:{2,4,5,7}:{(18,1),(25,1),(53,1),(55,1),(104,1),(209,1)}
        35:{3,4,6,7}:{(18,1),(26,1),(55,1)}
        36:{2,3,5,7}:{(19,1),(47,1),(56,1),(57,1),(109,1),(158,1),(165,1),(204,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(48,1),(58,1),(61,1),(100,1),(109,1),(158,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(49,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(53,1),(60,1),(63,1),(97,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(99,1),(104,1),(115,1),(158,1),(162,1),(166,1),(209,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(55,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(189,1),(224,1)}
        47:{1,3,5,7}:{(28,1),(36,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(37,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(38,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(39,1),(71,1),(73,1),(89,1),(118,1),(128,1),(145,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(40,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(225,1),(239,1),(244,1)}
        52:{2,4,6,7}:{(32,1),(33,1),(39,1),(75,1),(76,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(41,1),(75,1),(77,1),(135,1),(188,1)}
        54:{1,3,4,6,7}:{(33,1),(35,1),(42,1),(76,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        55:{3,5,7}:{(34,1),(35,1),(44,1),(224,1)}
        56:{2,3,5,6}:{(36,1),(69,1),(80,1),(138,1),(175,1),(183,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(70,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(71,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(75,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(224,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(77,1),(85,1),(88,1),(127,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(129,1),(135,1),(185,1),(188,1),(190,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(211,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(56,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(57,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(58,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(59,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(61,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(115,1),(158,1),(169,1),(199,1),(203,1),(211,1),(233,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(60,1),(102,1),(104,1),(162,1)}
        76:{3,6,7}:{(52,1),(61,1),(102,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(55,1),(63,1),(102,1),(104,1)}
        78:{2,4,6,7}:{(54,1),(64,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{2,3,5,6,7}:{(56,1),(94,1),(106,1),(165,1),(195,1),(204,1)}
        80:{2,4,6}:{(56,1),(57,1),(95,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(97,1),(109,1),(158,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(99,1),(110,1),(111,1),(162,1),(203,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(102,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(104,1),(116,1),(158,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(226,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(224,1)}
        94:{1,3,5,6,7}:{(69,1),(79,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(80,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(81,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(82,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(83,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(226,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(145,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(76,1),(85,1),(132,1)}
       103:{2,3,6,7}:{(76,1),(78,1),(86,1),(133,1),(134,1),(224,1)}
       104:{2,5,7}:{(77,1),(78,1),(88,1),(135,1)}
       105:{1,4,6,7}:{(78,1),(89,1),(134,1),(135,1),(188,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(123,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(124,1),(136,1),(138,1),(183,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(128,1),(140,1),(141,1),(143,1),(221,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(129,1),(141,1),(142,1),(187,1),(188,1),(224,1)}
       112:{3,4,6}:{(85,1),(132,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(133,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(135,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(169,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(106,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(107,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(108,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(109,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(115,1),(160,1),(161,1),(199,1),(207,1)}
       132:{3,4,7}:{(102,1),(112,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(113,1),(162,1),(163,1)}
       134:{1,3,6,7}:{(103,1),(105,1),(114,1),(163,1),(164,1)}
       135:{1,5,7}:{(104,1),(105,1),(116,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(153,1),(165,1),(204,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(158,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(159,1),(167,1),(168,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(162,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(163,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(192,1),(216,1),(226,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(136,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(137,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(138,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(142,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(145,1),(218,1)}
       162:{2,4,7}:{(132,1),(133,1),(143,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(144,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(134,1),(145,1),(189,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(185,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(187,1),(192,1),(224,1)}
       170:{1,4,6}:{(143,1),(144,1),(188,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(189,1),(191,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(168,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(169,1),(203,1),(208,1)}
       188:{1,4,7}:{(162,1),(163,1),(170,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(171,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(210,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(226,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(191,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(192,1),(221,1),(223,1)}
       209:{2,4,7}:{(188,1),(189,1),(193,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(223,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(225,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(211,1),(233,1),(234,1)}
       224:{3,7}:{(209,1),(212,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 687 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(29,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(42,1),(83,1),(97,1),(98,1),(189,1),(276,1),(285,1),(305,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(55,1),(118,1),(154,1),(231,1),(328,1),(347,1)}
         3:{3,5,6}:{(0,1),(12,1),(14,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(14,1),(15,1),(52,1),(56,1),(135,1),(136,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(12,1),(17,1),(243,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(342,1),(363,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(55,1),(65,1),(73,1),(125,1),(132,1),(140,1),(146,1),(151,1),(254,1),(259,1),(340,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(56,1),(126,1),(143,1),(245,1),(334,1),(343,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(89,1),(185,1),(204,1),(271,1),(272,1),(297,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(287,1),(400,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(87,1),(90,1),(167,1),(184,1),(279,1)}
        12:{3,4,6}:{(3,1),(5,1),(29,1),(30,1),(471,1)}
        13:{2,3,5,6}:{(3,1),(6,1),(26,1),(29,1),(31,1),(32,1),(42,1),(83,1),(108,1)}
        14:{3,5,7}:{(3,1),(4,1),(30,1),(33,1),(277,1)}
        15:{2,4,6,7}:{(4,1),(28,1),(33,1),(34,1),(88,1),(96,1),(393,1)}
        16:{1,3,4,5}:{(5,1),(25,1),(35,1),(37,1),(76,1),(99,1),(105,1),(161,1),(195,1),(268,1),(287,1)}
        17:{2,4,5}:{(5,1),(6,1),(29,1),(37,1),(189,1)}
        18:{3,4,5,7}:{(5,1),(30,1),(38,1),(39,1),(92,1),(302,1),(389,1),(412,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(313,1),(317,1),(395,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(398,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(188,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(90,1),(104,1),(175,1),(182,1),(197,1),(202,1),(396,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(132,1),(234,1),(350,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(133,1),(221,1),(222,1),(237,1),(352,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(16,1),(45,1),(49,1),(50,1),(55,1),(118,1),(125,1),(132,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(342,1),(446,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(14,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(15,1),(48,1),(53,1),(54,1),(131,1),(347,1)}
        29:{2,4,6}:{(12,1),(13,1),(17,1),(55,1),(56,1)}
        30:{3,4,7}:{(12,1),(14,1),(56,1),(440,1)}
        31:{1,3,5,6}:{(13,1),(19,1),(51,1),(55,1),(58,1),(59,1),(73,1),(125,1),(132,1),(154,1),(260,1)}
        32:{2,3,5,7}:{(13,1),(14,1),(52,1),(56,1),(59,1),(60,1),(126,1),(135,1)}
        33:{3,6,7}:{(14,1),(15,1),(438,1)}
        34:{2,5,6,7}:{(15,1),(54,1),(61,1),(135,1),(336,1),(442,1)}
        35:{2,4,5}:{(16,1),(49,1),(62,1),(63,1),(144,1),(250,1),(342,1)}
        36:{1,2,4,6}:{(21,1),(64,1),(65,1),(66,1),(142,1),(146,1),(148,1),(226,1),(241,1),(254,1),(340,1)}
        37:{1,4,5}:{(17,1),(19,1),(55,1),(67,1),(146,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(68,1),(69,1),(135,1),(245,1),(363,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(444,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(446,1)}
        43:{2,3,6}:{(21,1),(65,1),(71,1),(75,1),(132,1),(242,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(228,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(83,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(182,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(88,1),(173,1),(297,1)}
        49:{2,4,6}:{(25,1),(26,1),(35,1),(83,1),(84,1),(85,1),(174,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(30,1),(78,1),(85,1),(90,1),(167,1),(175,1),(182,1),(277,1)}
        51:{1,5,6}:{(26,1),(84,1),(87,1),(395,1),(483,1)}
        52:{2,5,7}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(33,1),(81,1),(88,1),(400,1)}
        54:{1,5,6,7}:{(28,1),(34,1),(82,1),(184,1),(279,1),(402,1)}
        55:{1,4,6}:{(29,1),(31,1),(37,1),(89,1),(90,1),(318,1)}
        56:{2,4,7}:{(29,1),(30,1),(32,1),(90,1)}
        57:{3,4,6,7}:{(30,1),(33,1),(39,1),(91,1),(92,1),(96,1)}
        58:{2,5,6}:{(31,1),(40,1),(89,1),(94,1),(112,1),(174,1)}
        59:{1,3,5,7}:{(31,1),(32,1),(87,1),(90,1),(94,1),(95,1),(175,1),(182,1),(184,1),(295,1)}
        60:{2,3,6,7}:{(32,1),(33,1),(42,1),(88,1),(91,1),(95,1)}
        61:{3,5,6,7}:{(33,1),(34,1),(92,1),(96,1),(391,1),(479,1)}
        62:{2,3,5}:{(35,1),(83,1),(97,1),(99,1),(105,1),(268,1)}
        63:{1,4,5}:{(35,1),(84,1),(99,1),(308,1),(395,1)}
        64:{1,2,5}:{(36,1),(40,1),(101,1),(191,1),(313,1),(395,1)}
        65:{1,3,6}:{(36,1),(43,1),(98,1),(101,1),(104,1),(299,1)}
        66:{1,2,4,7}:{(36,1),(44,1),(102,1),(104,1),(192,1),(197,1),(284,1),(396,1)}
        67:{2,4,5}:{(37,1),(40,1),(89,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(90,1),(106,1),(107,1),(184,1),(197,1),(313,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(92,1),(108,1),(109,1),(412,1)}
        71:{2,3,5}:{(40,1),(43,1),(101,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(483,1)}
        74:{2,3,4,6}:{(43,1),(103,1),(110,1),(113,1),(114,1),(181,1),(205,1),(207,1),(209,1),(285,1),(300,1),(409,1)}
        75:{2,3,7}:{(43,1),(44,1),(104,1),(182,1)}
        76:{3,4,5}:{(45,1),(115,1),(234,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(352,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(125,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(126,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(350,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(237,1),(354,1)}
        83:{2,3,6}:{(49,1),(62,1),(125,1),(126,1),(132,1),(218,1)}
        84:{1,4,6}:{(49,1),(51,1),(63,1),(125,1),(128,1)}
        85:{2,4,7}:{(49,1),(50,1),(52,1),(126,1),(128,1),(228,1)}
        86:{1,2,5,6}:{(51,1),(58,1),(64,1),(121,1),(127,1),(129,1),(130,1),(148,1),(226,1),(247,1),(321,1),(342,1),(423,1),(443,1),(446,1),(503,1)}
        87:{1,5,7}:{(51,1),(52,1),(128,1),(131,1)}
        88:{2,6,7}:{(52,1),(53,1),(131,1),(446,1)}
        89:{2,4,6}:{(55,1),(58,1),(67,1),(132,1),(133,1)}
        90:{1,4,7}:{(55,1),(56,1),(59,1),(133,1),(352,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(60,1),(69,1),(134,1),(135,1)}
        92:{3,5,7}:{(57,1),(70,1),(135,1),(136,1)}
        93:{2,3,5,6}:{(58,1),(71,1),(129,1),(132,1),(137,1),(138,1),(157,1),(227,1),(234,1),(260,1),(263,1),(342,1),(350,1),(354,1),(420,1),(446,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
        94:{2,5,7}:{(58,1),(59,1),(133,1),(139,1),(228,1)}
        95:{1,3,6,7}:{(59,1),(60,1),(73,1),(131,1),(134,1),(139,1),(236,1)}
        96:{4,6,7}:{(61,1),(136,1),(440,1),(509,1)}
        97:{2,3,4}:{(62,1),(140,1),(151,1),(250,1),(325,1),(355,1)}
        98:{2,3,6}:{(65,1),(141,1),(142,1),(143,1),(355,1),(358,1)}
        99:{1,3,5}:{(62,1),(63,1),(125,1),(140,1),(144,1)}
       100:{1,2,4,5}:{(63,1),(64,1),(67,1),(127,1),(144,1),(145,1),(146,1),(212,1),(231,1),(241,1),(244,1),(250,1),(321,1),(342,1),(365,1),(421,1),(451,1),(491,1)}
       101:{1,3,5}:{(64,1),(65,1),(71,1),(141,1),(146,1)}
       102:{1,2,5,7}:{(64,1),(66,1),(72,1),(147,1),(148,1),(248,1),(444,1)}
       103:{1,3,4,6}:{(65,1),(74,1),(142,1),(146,1),(149,1),(150,1),(243,1),(252,1),(254,1),(256,1),(340,1),(356,1),(358,1),(360,1),(452,1)}
       104:{1,3,7}:{(65,1),(66,1),(75,1),(143,1)}
       105:{3,5}:{(67,1),(132,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(133,1),(152,1),(153,1),(156,1),(237,1),(263,1),(352,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(135,1),(154,1),(363,1)}
       109:{4,5,6}:{(70,1),(136,1),(456,1),(509,1)}
       110:{2,4}:{(71,1),(146,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(147,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(149,1),(155,1),(234,1),(263,1),(342,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(150,1),(156,1),(159,1),(235,1),(261,1),(343,1),(453,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(293,1),(405,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(97,1),(160,1),(164,1),(165,1),(181,1),(267,1),(285,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(174,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(87,1),(167,1),(171,1),(172,1),(175,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(88,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(295,1),(404,1)}
       125:{1,3,6}:{(83,1),(84,1),(99,1),(174,1),(175,1)}
       126:{2,3,7}:{(83,1),(85,1),(175,1),(182,1),(277,1)}
       127:{1,2,4,6}:{(84,1),(86,1),(89,1),(100,1),(166,1),(174,1),(176,1),(177,1),(178,1),(285,1),(303,1),(415,1),(486,1),(515,1)}
       128:{1,4,7}:{(84,1),(85,1),(87,1),(175,1)}
       129:{1,3,5,6}:{(86,1),(93,1),(101,1),(170,1),(176,1),(178,1),(179,1),(198,1),(283,1),(287,1),(313,1),(374,1),(395,1),(400,1),(402,1),(464,1),(483,1),(520,1)}
       130:{1,2,5,7}:{(86,1),(87,1),(94,1),(171,1),(177,1),(179,1),(180,1),(284,1),(306,1),(398,1),(482,1),(525,1)}
       131:{1,6,7}:{(87,1),(88,1),(483,1)}
       132:{3,6}:{(89,1),(105,1),(182,1)}
       133:{2,4,7}:{(89,1),(90,1),(94,1),(182,1)}
       134:{1,4,6,7}:{(90,1),(91,1),(95,1),(107,1),(183,1),(184,1)}
       135:{2,5,7}:{(91,1),(92,1),(108,1),(184,1)}
       136:{4,5,7}:{(92,1),(96,1),(109,1)}
       137:{2,4,6}:{(93,1),(110,1),(178,1),(181,1),(185,1),(186,1),(318,1),(460,1),(551,1)}
       138:{2,3,5,7}:{(93,1),(94,1),(179,1),(182,1),(186,1),(187,1),(286,1),(293,1),(295,1),(298,1),(398,1),(525,1),(540,1),(550,1)}
       139:{2,6,7}:{(94,1),(95,1),(112,1)}
       140:{1,3,4}:{(97,1),(99,1),(188,1),(299,1),(308,1)}
       141:{2,3,5}:{(98,1),(101,1),(189,1),(191,1),(301,1)}
       142:{2,4,6}:{(98,1),(103,1),(189,1),(191,1),(192,1),(307,1),(407,1),(486,1)}
       143:{2,3,7}:{(98,1),(104,1),(192,1),(410,1)}
       144:{2,5}:{(99,1),(174,1),(188,1)}
       145:{1,3,5}:{(100,1),(105,1),(176,1),(194,1),(195,1),(268,1),(299,1),(301,1),(513,1)}
       146:{1,4}:{(101,1),(110,1),(189,1)}
       147:{1,3,5,7}:{(101,1),(102,1),(104,1),(111,1),(190,1),(197,1),(198,1),(313,1)}
       148:{1,2,6}:{(102,1),(112,1),(198,1),(307,1),(483,1)}
       149:{1,3,5}:{(103,1),(113,1),(191,1),(196,1),(301,1),(313,1),(395,1),(412,1)}
       150:{1,3,4,7}:{(103,1),(104,1),(114,1),(192,1),(197,1),(200,1),(302,1),(311,1),(396,1),(410,1),(487,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(182,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(184,1),(204,1),(313,1)}
       155:{2,4,5}:{(110,1),(113,1),(196,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(197,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(198,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(199,1),(205,1),(208,1),(209,1),(292,1),(320,1),(397,1),(409,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(200,1),(206,1),(209,1),(293,1),(398,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(234,1),(342,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(350,1),(450,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(140,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(340,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(126,1),(211,1),(217,1),(235,1),(343,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(129,1),(141,1),(218,1),(223,1),(224,1),(227,1),(246,1),(247,1),(322,1),(333,1),(342,1),(358,1),(363,1),(426,1),(430,1),(438,1),(442,1),(446,1),(455,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(228,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(131,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(352,1),(450,1)}
       174:{2,6}:{(125,1),(144,1),(228,1)}
       175:{1,3,7}:{(125,1),(126,1),(128,1),(228,1)}
       176:{1,3,6}:{(127,1),(132,1),(145,1),(218,1),(227,1),(230,1),(358,1),(529,1)}
       177:{1,2,4,7}:{(127,1),(128,1),(130,1),(133,1),(219,1),(228,1),(230,1),(232,1),(343,1),(361,1),(458,1),(511,1),(532,1)}
       178:{1,4,6}:{(129,1),(137,1),(146,1),(223,1),(231,1),(232,1),(421,1)}
       179:{1,3,5,7}:{(129,1),(130,1),(138,1),(224,1),(230,1),(232,1),(233,1),(341,1),(348,1),(444,1)}
       180:{1,2,6,7}:{(130,1),(131,1),(139,1),(148,1),(225,1),(233,1),(364,1),(423,1),(446,1),(510,1),(539,1)}
       181:{3,4,6}:{(132,1),(137,1),(151,1),(234,1),(235,1),(350,1),(490,1),(529,1)}
       182:{3,7}:{(132,1),(133,1)}
       183:{2,4,6,7}:{(133,1),(134,1),(139,1),(153,1),(236,1),(237,1),(352,1)}
       184:{1,5,7}:{(134,1),(135,1),(154,1),(237,1)}
       185:{2,4,5}:{(137,1),(231,1),(234,1),(263,1),(342,1),(372,1),(534,1),(548,1)}
       186:{2,4,7}:{(137,1),(138,1),(232,1),(235,1),(352,1),(552,1)}
       187:{2,3,6,7}:{(138,1),(139,1),(157,1),(233,1),(236,1),(240,1),(350,1),(446,1),(493,1),(539,1),(546,1)}
       188:{2,4}:{(140,1),(144,1),(242,1)}
       189:{2,4}:{(141,1),(146,1),(243,1)}
       190:{2,3,5,7}:{(141,1),(143,1),(147,1),(245,1),(246,1),(248,1),(359,1),(363,1)}
       191:{2,5}:{(142,1),(149,1)}
       192:{2,4,7}:{(142,1),(143,1),(150,1),(248,1),(511,1)}
       193:{1,2,5}:{(144,1),(226,1),(241,1),(249,1),(451,1)}
       194:{2,3,5}:{(144,1),(145,1),(227,1),(242,1),(249,1),(250,1),(342,1),(355,1),(451,1)}
       195:{1,3,4}:{(145,1),(146,1),(151,1),(243,1),(250,1),(325,1),(421,1),(490,1)}
       196:{1,4,5}:{(146,1),(149,1),(155,1),(244,1),(252,1),(456,1)}
       197:{1,4,7}:{(146,1),(147,1),(156,1),(245,1),(254,1)}
       198:{1,3,6}:{(147,1),(148,1),(157,1),(246,1),(254,1)}
       199:{1,3,5,6}:{(149,1),(158,1),(247,1),(252,1),(255,1),(256,1),(358,1),(369,1),(443,1),(452,1),(455,1)}
       200:{1,3,5,7}:{(149,1),(150,1),(159,1),(248,1),(253,1),(256,1),(359,1),(444,1)}
       201:{3,4,5}:{(151,1),(155,1),(234,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(352,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(237,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(252,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(253,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(254,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(255,1),(261,1),(264,1),(349,1),(373,1),(445,1),(453,1)}
       209:{2,3,6}:{(159,1),(256,1),(262,1),(350,1),(446,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(395,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(293,1),(398,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(188,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(175,1),(266,1),(275,1),(277,1),(380,1),(385,1),(396,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(178,1),(189,1),(276,1),(280,1),(281,1),(376,1),(471,1),(489,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(179,1),(277,1),(281,1),(282,1),(286,1),(306,1),(389,1),(391,1),(394,1),(398,1),(410,1),(488,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,6}:{(174,1),(193,1),(283,1),(284,1),(486,1)}
       227:{2,3,6}:{(174,1),(176,1),(194,1),(283,1),(285,1),(286,1),(486,1)}
       228:{2,7}:{(174,1),(175,1)}
       229:{1,3,4,6}:{(176,1),(178,1),(181,1),(195,1),(276,1),(285,1),(287,1),(288,1),(400,1)}
       230:{1,3,7}:{(176,1),(177,1),(182,1),(277,1),(286,1),(410,1),(540,1)}
       231:{1,4,5}:{(178,1),(185,1),(280,1),(287,1),(313,1),(395,1),(520,1)}
       232:{1,4,7}:{(178,1),(179,1),(186,1),(281,1)}
       233:{1,3,6,7}:{(179,1),(180,1),(187,1),(198,1),(282,1),(291,1),(400,1),(464,1),(483,1)}
       234:{3,5}:{(181,1),(185,1)}
       235:{3,4,7}:{(181,1),(182,1),(186,1),(293,1),(540,1)}
       236:{3,6,7}:{(182,1),(183,1),(203,1),(295,1)}
       237:{2,5,7}:{(183,1),(184,1),(204,1),(295,1)}
       238:{2,4,5,6}:{(185,1),(205,1),(289,1),(292,1),(296,1),(297,1),(320,1),(397,1),(419,1),(515,1),(544,1),(551,1)}
       239:{2,4,5,7}:{(185,1),(186,1),(290,1),(293,1),(297,1),(298,1),(398,1),(405,1)}
       240:{2,4,6,7}:{(186,1),(187,1),(207,1),(291,1),(294,1),(297,1),(298,1),(517,1)}
       241:{1,2,4}:{(188,1),(193,1),(299,1),(308,1),(407,1)}
       242:{2,3}:{(188,1),(299,1)}
       243:{3,4}:{(189,1),(301,1)}
       244:{2,4,5}:{(189,1),(191,1),(196,1),(301,1),(303,1)}
       245:{2,4,7}:{(189,1),(190,1),(197,1),(302,1),(305,1)}
       246:{2,3,6}:{(190,1),(198,1),(305,1),(307,1),(411,1)}
       247:{2,5,6}:{(191,1),(199,1),(303,1),(306,1),(307,1),(486,1)}
       248:{2,5,7}:{(191,1),(192,1),(200,1),(307,1)}
       249:{1,3,5}:{(193,1),(194,1),(283,1),(299,1),(308,1),(395,1)}
       250:{2,4}:{(194,1),(195,1),(308,1)}
       251:{1,3,4,5}:{(195,1),(196,1),(201,1),(287,1),(301,1),(309,1),(310,1),(379,1),(408,1),(462,1),(513,1)}
       252:{1,4,6}:{(196,1),(199,1),(205,1),(303,1),(311,1),(489,1)}
       253:{1,4,5,7}:{(196,1),(197,1),(200,1),(206,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       254:{1,4,6}:{(197,1),(198,1),(207,1),(305,1),(313,1)}
       255:{1,3,5,7}:{(199,1),(208,1),(306,1),(311,1),(314,1),(410,1),(417,1),(482,1),(487,1),(488,1)}
       256:{1,3,6}:{(200,1),(209,1),(307,1),(312,1),(411,1),(483,1)}
       257:{3,4,6}:{(201,1),(205,1),(292,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(293,1),(315,1),(316,1),(317,1),(405,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(295,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(311,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(312,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(313,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(314,1),(319,1),(403,1),(484,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(444,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(350,1),(446,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(450,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(241,1),(321,1),(329,1),(330,1),(340,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(242,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(228,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(243,1),(325,1),(333,1),(334,1),(358,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(231,1),(333,1),(342,1),(363,1),(456,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(232,1),(334,1),(440,1),(512,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(233,1),(246,1),(335,1),(339,1),(364,1),(426,1),(438,1),(446,1),(454,1)}
       283:{1,3,6}:{(226,1),(227,1),(249,1),(340,1),(341,1)}
       284:{1,2,7}:{(226,1),(228,1),(341,1),(511,1)}
       285:{2,4,6}:{(227,1),(229,1),(250,1),(340,1),(342,1),(343,1),(446,1)}
       286:{2,3,7}:{(227,1),(228,1),(230,1),(341,1),(343,1),(511,1)}
       287:{1,3,5}:{(229,1),(231,1),(234,1),(333,1),(342,1)}
       288:{1,3,4,7}:{(229,1),(230,1),(232,1),(235,1),(334,1),(343,1),(345,1)}
       289:{1,4,5,6}:{(231,1),(238,1),(252,1),(337,1),(344,1),(346,1),(347,1),(369,1),(443,1),(494,1),(536,1)}
       290:{1,4,5,7}:{(231,1),(232,1),(239,1),(338,1),(345,1),(347,1),(348,1),(444,1)}
       291:{1,4,6,7}:{(232,1),(233,1),(240,1),(254,1),(339,1),(347,1),(348,1),(496,1)}
       292:{3,5,6}:{(234,1),(238,1),(257,1),(349,1),(350,1),(529,1)}
       293:{3,5,7}:{(234,1),(235,1),(239,1),(350,1)}
       294:{3,4,6,7}:{(235,1),(236,1),(240,1),(259,1),(350,1),(351,1),(352,1),(450,1),(531,1),(546,1),(552,1)}
       295:{3,5,7}:{(236,1),(237,1),(260,1),(352,1)}
       296:{2,4,5,7}:{(238,1),(261,1),(346,1),(349,1),(353,1),(373,1),(445,1),(459,1),(532,1),(549,1),(552,1)}
       297:{2,4,6}:{(239,1),(347,1),(350,1),(354,1),(446,1),(450,1)}
       298:{2,5,7}:{(240,1),(263,1),(348,1),(351,1),(354,1),(534,1)}
       299:{1,3}:{(241,1),(242,1),(355,1)}
       300:{2,3,4}:{(242,1),(243,1),(250,1),(356,1),(357,1),(490,1)}
       301:{3,5}:{(243,1),(244,1),(358,1)}
       302:{3,4,7}:{(243,1),(245,1),(359,1),(360,1),(512,1)}
       303:{2,4,6}:{(244,1),(247,1),(252,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(244,1),(245,1),(248,1),(253,1),(359,1),(361,1),(362,1),(363,1),(456,1),(457,1),(512,1)}
       305:{2,4,6}:{(245,1),(246,1),(254,1),(360,1),(363,1)}
       306:{2,5,7}:{(247,1),(255,1),(361,1),(364,1),(511,1)}
       307:{2,6}:{(248,1),(256,1)}
       308:{1,4}:{(249,1),(250,1)}
       309:{2,4,5}:{(250,1),(251,1),(342,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(251,1),(252,1),(257,1),(344,1),(358,1),(366,1),(367,1),(427,1),(452,1),(494,1),(529,1)}
       311:{1,4,7}:{(252,1),(255,1),(261,1),(361,1),(512,1)}
       312:{1,4,6}:{(253,1),(256,1),(262,1),(362,1),(369,1)}
       313:{1,5}:{(254,1),(263,1),(363,1)}
       314:{1,3,6,7}:{(255,1),(256,1),(264,1),(364,1),(368,1),(454,1),(510,1)}
       315:{3,4,7}:{(257,1),(261,1),(349,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(350,1),(371,1),(450,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(352,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(369,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(395,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(483,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(299,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(284,1),(375,1),(385,1),(396,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(285,1),(300,1),(376,1),(384,1),(386,1),(387,1),(409,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(410,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(289,1),(303,1),(388,1),(392,1),(393,1),(397,1),(414,1),(465,1),(489,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(290,1),(389,1),(393,1),(394,1),(398,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(291,1),(305,1),(390,1),(393,1),(394,1),(467,1)}
       340:{1,4,6}:{(283,1),(285,1),(308,1),(395,1),(396,1),(483,1)}
       341:{1,3,7}:{(283,1),(284,1),(286,1),(396,1)}
       342:{2,5}:{(285,1),(287,1),(395,1)}
       343:{2,4,7}:{(285,1),(286,1),(288,1),(396,1),(398,1)}
       344:{1,3,5,6}:{(287,1),(289,1),(292,1),(310,1),(388,1),(397,1),(399,1),(400,1)}
       345:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(389,1),(398,1),(400,1)}
       346:{1,4,5,7}:{(289,1),(296,1),(311,1),(392,1),(399,1),(401,1),(417,1),(482,1),(518,1),(545,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(400,1),(402,1),(483,1)}
       348:{1,5,7}:{(291,1),(298,1),(313,1),(394,1),(402,1),(520,1)}
       349:{3,5,7}:{(292,1),(296,1),(315,1),(403,1),(540,1)}
       350:{3,6}:{(293,1),(297,1)}
       351:{3,5,7}:{(294,1),(298,1),(317,1),(404,1),(405,1),(542,1)}
       352:{4,7}:{(295,1),(318,1)}
       353:{2,4,6,7}:{(296,1),(297,1),(401,1),(403,1),(406,1),(484,1),(485,1)}
       354:{2,5,6}:{(297,1),(298,1),(402,1),(404,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(301,1),(309,1),(408,1),(409,1),(513,1)}
       358:{3,6}:{(301,1),(303,1),(410,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,4,6}:{(302,1),(305,1),(411,1),(412,1),(489,1)}
       361:{2,4,7}:{(303,1),(306,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(307,1),(312,1),(411,1),(414,1),(489,1)}
       363:{2,5}:{(305,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(395,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(397,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(311,1),(315,1),(399,1),(410,1),(416,1),(468,1),(487,1),(518,1),(540,1)}
       368:{1,4,6,7}:{(311,1),(312,1),(314,1),(319,1),(413,1),(417,1)}
       369:{1,5,6}:{(312,1),(313,1),(320,1),(414,1),(417,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(403,1),(418,1),(485,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(444,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(456,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(355,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(340,1),(356,1),(421,1),(431,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(342,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(343,1),(425,1),(434,1),(436,1),(453,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(358,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(360,1),(429,1),(438,1),(439,1),(440,1),(454,1),(509,1),(512,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(361,1),(437,1),(441,1),(445,1),(457,1),(497,1),(512,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(347,1),(438,1),(442,1),(446,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(363,1),(439,1),(442,1),(499,1)}
       395:{1,5}:{(340,1),(342,1)}
       396:{1,4,7}:{(340,1),(341,1),(343,1),(444,1)}
       397:{2,5,6}:{(342,1),(344,1),(366,1),(443,1),(445,1),(446,1)}
       398:{2,5,7}:{(342,1),(343,1),(345,1),(444,1),(446,1)}
       399:{1,3,5,7}:{(344,1),(346,1),(349,1),(367,1),(437,1),(445,1),(447,1)}
       400:{1,3,6}:{(345,1),(347,1),(350,1),(438,1),(446,1)}
       401:{1,4,6,7}:{(346,1),(347,1),(353,1),(441,1),(447,1),(448,1),(510,1)}
       402:{1,5,6}:{(347,1),(348,1),(354,1),(442,1)}
       403:{3,6,7}:{(349,1),(350,1),(353,1)}
       404:{3,5,6}:{(350,1),(351,1),(354,1),(450,1)}
       405:{4,5,7}:{(351,1),(352,1),(372,1),(450,1),(548,1),(552,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(449,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(358,1),(366,1),(452,1),(453,1),(529,1)}
       410:{3,7}:{(358,1),(361,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,5}:{(360,1),(363,1),(456,1)}
       413:{2,4,6,7}:{(361,1),(362,1),(364,1),(368,1),(454,1),(457,1),(512,1)}
       414:{2,5,6}:{(362,1),(363,1),(369,1),(455,1),(457,1)}
       415:{1,4,6}:{(365,1),(366,1),(443,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(445,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(450,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(483,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(489,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(407,1),(460,1),(472,1),(473,1),(486,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(395,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(396,1),(463,1),(473,1),(475,1),(487,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(409,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(398,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(410,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(412,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(401,1),(478,1),(481,1),(484,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(402,1),(479,1)}
       443:{1,5,6}:{(395,1),(397,1),(415,1),(482,1),(483,1)}
       444:{1,5,7}:{(395,1),(396,1),(398,1),(483,1)}
       445:{2,5,7}:{(397,1),(399,1),(416,1),(482,1),(484,1)}
       446:{2,6}:{(398,1),(400,1),(483,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(401,1),(403,1),(478,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{3,5,6,7}:{(403,1),(404,1),(406,1),(418,1),(485,1),(550,1)}
       450:{4,6}:{(404,1),(405,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(410,1),(416,1),(487,1),(540,1)}
       454:{3,6,7}:{(410,1),(411,1),(413,1),(488,1)}
       455:{3,5,6}:{(411,1),(412,1),(414,1),(488,1),(489,1)}
       456:{4,5}:{(412,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(488,1)}
       458:{1,4,7}:{(415,1),(416,1),(482,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(512,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(511,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(443,1),(452,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(444,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(453,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(446,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(456,1),(502,1),(509,1),(512,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(508,1),(537,1)}
       482:{1,5,7}:{(443,1),(445,1),(458,1),(510,1)}
       483:{1,6}:{(444,1),(446,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{3,5,7}:{(454,1),(455,1),(457,1),(512,1)}
       489:{4,6}:{(455,1),(456,1),(512,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(486,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(482,1),(487,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(483,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(484,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(488,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(511,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 688 :   0:{3,5,6,7}:{(2,1),(3,1),(23,1),(27,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(68,1),(218,1),(321,1),(408,1),(417,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(48,1),(265,1),(376,1)}
         3:{4,6,7}:{(0,1),(12,1),(364,1),(446,1)}
         4:{4,5,6}:{(12,1),(14,1),(369,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(456,1)}
         6:{2,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(55,1),(100,1),(176,1),(278,1)}
         7:{2,3,4,7}:{(11,1),(17,1),(18,1),(100,1),(112,1),(176,1),(177,1),(374,1),(383,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(75,1),(214,1),(337,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(22,1),(23,1),(64,1),(418,1)}
        10:{2,4,5,6}:{(4,1),(21,1),(22,1),(24,1),(29,1),(66,1),(71,1),(224,1),(314,1),(330,1),(404,1),(418,1)}
        11:{2,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(33,1),(417,1),(426,1)}
        12:{4,5,7}:{(3,1),(4,1),(27,1)}
        13:{3,4,6,7}:{(3,1),(5,1),(23,1),(27,1),(28,1),(68,1)}
        14:{3,5,6}:{(4,1),(5,1),(27,1),(29,1),(321,1)}
        15:{2,4,6}:{(5,1),(6,1),(25,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(26,1),(30,1),(31,1),(75,1),(83,1),(139,1),(140,1),(235,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(33,1),(34,1),(71,1),(135,1),(152,1),(153,1),(226,1),(249,1),(329,1),(339,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(34,1),(35,1),(79,1),(82,1),(139,1),(140,1),(228,1),(237,1),(425,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(107,1),(166,1),(292,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(40,1),(95,1),(385,1)}
        21:{1,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(50,1),(97,1),(103,1),(173,1),(262,1),(287,1),(385,1)}
        22:{2,4,5,7}:{(9,1),(10,1),(12,1),(39,1),(42,1),(48,1),(94,1),(100,1),(265,1),(272,1),(364,1)}
        23:{3,6,7}:{(9,1),(42,1),(456,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(276,1),(379,1),(456,1)}
        25:{2,3,6}:{(11,1),(15,1),(46,1),(456,1),(463,1)}
        26:{1,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(52,1),(56,1),(462,1)}
        27:{3,5,7}:{(12,1),(13,1),(14,1),(48,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(100,1)}
        29:{2,5,6}:{(14,1),(15,1),(48,1),(50,1),(278,1)}
        30:{1,4,6}:{(15,1),(16,1),(46,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(47,1),(51,1),(52,1),(106,1),(107,1),(118,1),(186,1),(191,1),(193,1),(195,1)}
        32:{3,4,5}:{(44,1),(55,1),(301,1),(379,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(278,1),(379,1),(388,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(46,1),(56,1),(57,1),(103,1),(110,1),(116,1),(181,1),(184,1),(189,1),(198,1),(204,1),(207,1),(387,1)}
        35:{2,4,7}:{(18,1),(47,1),(57,1),(58,1),(280,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(147,1),(245,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(64,1),(344,1)}
        38:{2,4,5,6}:{(21,1),(60,1),(62,1),(66,1),(77,1),(122,1),(129,1),(143,1),(149,1),(212,1),(241,1),(344,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(22,1),(60,1),(63,1),(75,1),(133,1),(140,1),(214,1),(220,1)}
        40:{1,3,6,7}:{(20,1),(23,1),(61,1),(63,1),(64,1),(427,1)}
        41:{1,3,5,6}:{(21,1),(24,1),(62,1),(63,1),(65,1),(66,1),(340,1),(427,1)}
        42:{3,5,7}:{(22,1),(23,1),(24,1),(68,1),(324,1)}
        43:{2,3,6,7}:{(23,1),(25,1),(28,1),(64,1),(69,1),(70,1)}
        44:{3,4,6}:{(24,1),(32,1),(68,1),(71,1),(404,1)}
        45:{2,3,5,6}:{(24,1),(25,1),(29,1),(33,1),(66,1),(69,1),(71,1),(72,1),(135,1)}
        46:{1,3,6}:{(25,1),(26,1),(30,1),(73,1),(78,1),(491,1)}
        47:{2,5,7}:{(26,1),(35,1),(73,1),(84,1)}
        48:{2,5,7}:{(27,1),(28,1),(29,1),(75,1)}
        49:{1,4,6,7}:{(28,1),(30,1),(70,1),(75,1),(76,1),(140,1)}
        50:{1,5,6}:{(29,1),(30,1),(75,1),(77,1),(235,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(237,1)}
        53:{1,3,4,5}:{(32,1),(65,1),(80,1),(83,1),(125,1),(155,1),(160,1),(217,1),(254,1),(320,1),(340,1)}
        54:{1,2,4,7}:{(35,1),(67,1),(81,1),(82,1),(139,1),(154,1),(333,1),(425,1)}
        55:{2,4,5}:{(32,1),(33,1),(71,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(235,1),(429,1)}
        57:{2,4,6}:{(34,1),(35,1),(73,1),(84,1),(85,1),(161,1),(232,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(237,1)}
        59:{4,6,7}:{(36,1),(87,1),(193,1),(296,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(39,1),(87,1),(89,1),(94,1),(107,1),(166,1),(169,1),(186,1),(193,1)}
        61:{3,6,7}:{(37,1),(89,1),(391,1)}
        62:{3,5,6}:{(38,1),(89,1),(91,1),(189,1),(293,1),(391,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(41,1),(42,1),(89,1),(93,1),(94,1)}
        64:{2,6,7}:{(40,1),(94,1),(95,1),(463,1)}
        65:{1,3,4,6}:{(41,1),(44,1),(53,1),(91,1),(93,1),(96,1),(103,1),(173,1),(181,1),(189,1),(276,1)}
        66:{2,5,6}:{(41,1),(94,1),(96,1),(97,1),(388,1),(463,1)}
        67:{1,2,5,7}:{(47,1),(54,1),(98,1),(99,1),(115,1),(201,1),(462,1)}
        68:{3,4,7}:{(42,1),(44,1),(100,1),(364,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(45,1),(48,1),(94,1),(100,1),(101,1),(177,1)}
        70:{1,3,6,7}:{(43,1),(46,1),(49,1),(95,1),(101,1),(102,1),(108,1)}
        71:{2,4,6}:{(44,1),(45,1),(55,1),(100,1),(103,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(97,1),(101,1),(103,1),(104,1),(109,1),(181,1),(189,1)}
        73:{2,6}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(52,1),(58,1),(99,1),(105,1),(106,1),(119,1),(191,1)}
        75:{1,5,7}:{(48,1),(49,1),(50,1),(107,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1),(107,1),(108,1),(186,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(107,1),(109,1),(191,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(106,1),(110,1),(193,1),(207,1)}
        80:{2,4,5}:{(53,1),(96,1),(113,1),(114,1),(202,1),(306,1),(388,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(98,1),(115,1),(116,1),(184,1),(200,1),(204,1),(284,1),(299,1),(387,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(103,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(189,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(106,1),(117,1),(120,1),(121,1),(290,1),(311,1),(383,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(126,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(62,1),(126,1),(237,1)}
        90:{2,3,6,7}:{(61,1),(64,1),(124,1),(127,1),(128,1),(312,1)}
        91:{3,4,6}:{(62,1),(125,1),(126,1),(129,1),(149,1)}
        92:{2,3,5,6}:{(62,1),(66,1),(127,1),(129,1),(130,1),(135,1),(212,1),(216,1),(312,1)}
        93:{1,3,4,7}:{(63,1),(65,1),(68,1),(126,1),(132,1),(140,1),(220,1),(228,1),(237,1),(324,1)}
        94:{2,5,7}:{(63,1),(64,1),(66,1),(132,1),(133,1)}
        95:{1,6,7}:{(64,1),(133,1),(491,1)}
        96:{2,4,6}:{(65,1),(66,1),(80,1),(132,1),(135,1),(136,1),(232,1)}
        97:{1,5,6}:{(66,1),(133,1),(136,1),(429,1),(491,1)}
        98:{1,2,6}:{(67,1),(73,1),(138,1),(251,1),(491,1)}
        99:{1,3,5,7}:{(67,1),(74,1),(82,1),(131,1),(138,1),(139,1),(157,1),(235,1)}
       100:{2,4,7}:{(68,1),(69,1),(71,1),(140,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(133,1),(140,1),(141,1),(147,1),(228,1),(237,1)}
       102:{2,6,7}:{(70,1),(73,1),(141,1)}
       103:{1,4,6}:{(71,1),(72,1),(83,1),(140,1),(143,1),(149,1)}
       104:{2,5,6}:{(72,1),(73,1),(84,1),(141,1),(143,1),(232,1)}
       105:{2,3,6}:{(73,1),(74,1),(78,1),(138,1),(145,1)}
       106:{2,4,7}:{(74,1),(79,1),(139,1),(145,1),(161,1)}
       107:{2,5,7}:{(75,1),(76,1),(77,1),(147,1)}
       108:{3,6,7}:{(76,1),(78,1),(147,1),(237,1)}
       109:{3,5,6}:{(77,1),(78,1),(147,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(145,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(146,1),(150,1),(151,1),(244,1),(247,1),(258,1),(343,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(135,1),(152,1),(155,1),(160,1),(320,1)}
       114:{1,4,5}:{(80,1),(136,1),(155,1),(354,1),(429,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(235,1),(250,1),(429,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(139,1),(154,1),(158,1),(159,1),(218,1),(357,1),(425,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(143,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(145,1),(158,1),(161,1),(162,1),(163,1),(240,1),(259,1),(339,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(146,1),(159,1),(162,1),(163,1),(343,1),(426,1)}
       122:{4,5,6}:{(87,1),(164,1),(296,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(169,1),(261,1)}
       125:{3,4,5}:{(91,1),(168,1),(195,1),(293,1),(505,1)}
       126:{3,4,7}:{(89,1),(91,1),(169,1),(193,1)}
       127:{2,3,5,7}:{(89,1),(90,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1)}
       128:{1,3,6,7}:{(90,1),(95,1),(167,1),(170,1),(171,1),(266,1),(359,1)}
       129:{2,4,6}:{(91,1),(92,1),(168,1),(169,1),(173,1)}
       130:{1,3,5,6}:{(92,1),(97,1),(170,1),(173,1),(174,1),(181,1),(262,1),(267,1),(276,1),(359,1),(361,1)}
       131:{2,3,5,7}:{(99,1),(112,1),(175,1),(176,1),(199,1),(201,1),(270,1),(278,1)}
       132:{2,4,7}:{(93,1),(94,1),(96,1),(177,1),(178,1),(280,1)}
       133:{1,5,7}:{(94,1),(95,1),(97,1),(178,1)}
       134:{1,2,6,7}:{(95,1),(98,1),(102,1),(171,1),(179,1),(180,1),(304,1),(439,1),(463,1),(514,1),(539,1)}
       135:{2,3,6}:{(96,1),(113,1),(177,1),(181,1),(189,1),(276,1)}
       136:{1,4,6}:{(96,1),(97,1),(114,1),(178,1),(181,1)}
       137:{1,2,5,6}:{(97,1),(98,1),(104,1),(115,1),(174,1),(179,1),(182,1),(183,1),(284,1),(303,1),(366,1),(388,1),(439,1),(463,1),(465,1),(512,1)}
       138:{1,3,6}:{(98,1),(99,1),(105,1),(175,1),(184,1)}
       139:{1,4,7}:{(99,1),(106,1),(176,1),(184,1),(204,1)}
       140:{1,4,7}:{(100,1),(101,1),(103,1),(186,1),(193,1)}
       141:{2,5,7}:{(101,1),(102,1),(104,1),(186,1),(280,1)}
       142:{2,3,6,7}:{(102,1),(105,1),(108,1),(180,1),(187,1),(188,1),(391,1),(463,1),(496,1),(539,1),(549,1)}
       143:{2,4,6}:{(103,1),(104,1),(118,1),(186,1),(189,1)}
       144:{2,3,5,6}:{(104,1),(105,1),(109,1),(119,1),(183,1),(187,1),(189,1),(190,1),(191,1),(285,1),(292,1),(293,1),(388,1),(391,1),(448,1),(463,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       145:{2,4,6}:{(105,1),(106,1),(110,1),(184,1),(191,1)}
       146:{2,4,5,7}:{(106,1),(111,1),(121,1),(185,1),(191,1),(192,1),(208,1),(295,1),(311,1)}
       147:{3,5,7}:{(107,1),(108,1),(109,1),(193,1)}
       148:{3,4,6,7}:{(108,1),(110,1),(188,1),(193,1),(194,1),(290,1),(296,1),(391,1),(530,1),(549,1),(552,1)}
       149:{4,6}:{(109,1),(193,1),(195,1)}
       150:{3,5}:{(110,1),(191,1),(195,1)}
       151:{3,4,6}:{(111,1),(192,1),(196,1),(296,1),(391,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(368,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(181,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(182,1),(202,1),(203,1),(204,1),(268,1),(287,1),(299,1),(302,1),(306,1),(366,1),(388,1),(399,1),(449,1),(467,1),(506,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(184,1),(200,1),(204,1),(205,1),(206,1),(269,1),(301,1),(308,1),(387,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(185,1),(201,1),(205,1),(206,1),(270,1),(462,1)}
       160:{3,5}:{(118,1),(189,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(191,1),(205,1),(208,1),(293,1),(388,1)}
       163:{2,3,6}:{(121,1),(192,1),(206,1),(391,1),(463,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(126,1),(211,1),(213,1),(244,1),(343,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(128,1),(214,1),(215,1),(220,1),(313,1)}
       168:{2,4,5}:{(125,1),(129,1),(216,1),(217,1),(480,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(220,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(130,1),(133,1),(214,1),(220,1),(221,1),(228,1),(317,1),(324,1)}
       171:{2,6,7}:{(128,1),(221,1),(402,1)}
       172:{2,3,4,6}:{(129,1),(135,1),(152,1),(216,1),(219,1),(223,1),(240,1),(312,1),(339,1),(420,1),(480,1),(516,1)}
       173:{1,4,6}:{(129,1),(130,1),(217,1),(220,1),(224,1),(404,1)}
       174:{2,5,6}:{(130,1),(221,1),(224,1),(232,1),(319,1),(402,1)}
       175:{2,3,6}:{(131,1),(138,1),(226,1),(251,1),(322,1)}
       176:{2,4,7}:{(131,1),(139,1),(218,1),(226,1),(249,1)}
       177:{2,3,7}:{(132,1),(135,1),(228,1),(237,1),(324,1)}
       178:{1,4,7}:{(132,1),(133,1),(136,1),(228,1)}
       179:{1,2,5,7}:{(133,1),(134,1),(137,1),(141,1),(221,1),(229,1),(230,1),(333,1),(353,1),(426,1),(493,1),(529,1)}
       180:{1,3,6,7}:{(134,1),(138,1),(142,1),(222,1),(230,1),(231,1),(427,1),(471,1),(491,1)}
       181:{1,3,6}:{(135,1),(136,1),(155,1),(228,1),(232,1)}
       182:{1,2,4,6}:{(136,1),(137,1),(143,1),(156,1),(224,1),(229,1),(232,1),(233,1),(234,1),(339,1),(352,1),(437,1),(494,1),(525,1)}
       183:{1,3,5,6}:{(137,1),(138,1),(144,1),(157,1),(225,1),(230,1),(233,1),(234,1),(235,1),(337,1),(338,1),(340,1),(410,1),(427,1),(429,1),(471,1),(491,1),(517,1)}
       184:{1,4,6}:{(138,1),(139,1),(145,1),(226,1),(235,1)}
       185:{1,4,5,7}:{(139,1),(146,1),(159,1),(227,1),(235,1),(236,1),(255,1),(342,1),(357,1)}
       186:{2,4,7}:{(140,1),(141,1),(143,1),(237,1)}
       187:{2,3,5,7}:{(141,1),(142,1),(144,1),(147,1),(230,1),(237,1),(238,1),(239,1),(334,1),(343,1),(426,1),(529,1),(545,1),(551,1)}
       188:{2,4,6,7}:{(142,1),(145,1),(148,1),(231,1),(238,1),(239,1),(344,1),(516,1)}
       189:{3,6}:{(143,1),(160,1),(237,1)}
       190:{2,4,6}:{(144,1),(149,1),(161,1),(234,1),(238,1),(240,1),(241,1),(480,1),(550,1)}
       191:{2,5}:{(145,1),(150,1),(235,1)}
       192:{2,4,6}:{(146,1),(151,1),(163,1),(236,1),(242,1)}
       193:{4,7}:{(147,1),(149,1)}
       194:{3,5,7}:{(148,1),(150,1),(239,1),(244,1),(245,1),(540,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(242,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(243,1),(247,1),(348,1),(358,1),(432,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(232,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(233,1),(253,1),(254,1),(320,1),(349,1),(351,1),(524,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(235,1),(250,1),(255,1),(321,1),(351,1),(429,1)}
       206:{1,3,6}:{(159,1),(163,1),(236,1),(251,1),(322,1),(491,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(242,1),(256,1),(259,1),(260,1),(346,1),(430,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(243,1),(257,1),(260,1),(432,1),(492,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(296,1),(391,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(169,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(171,1),(265,1),(266,1),(272,1),(360,1),(364,1)}
       216:{2,3,5}:{(168,1),(172,1),(267,1),(293,1),(388,1),(531,1)}
       217:{1,4,5}:{(168,1),(173,1),(267,1),(268,1),(442,1),(449,1)}
       218:{3,4,7}:{(176,1),(269,1),(270,1),(301,1),(452,1)}
       219:{2,3,4,7}:{(169,1),(172,1),(177,1),(263,1),(271,1),(290,1),(383,1),(453,1),(501,1)}
       220:{1,4,7}:{(169,1),(170,1),(173,1),(272,1),(364,1)}
       221:{2,5,7}:{(170,1),(171,1),(174,1),(272,1),(280,1)}
       222:{2,3,6,7}:{(171,1),(175,1),(180,1),(266,1),(273,1),(274,1),(304,1),(371,1),(440,1),(456,1),(463,1)}
       223:{1,3,4,6}:{(172,1),(173,1),(181,1),(198,1),(267,1),(271,1),(275,1),(276,1),(359,1),(368,1),(377,1),(387,1),(441,1),(449,1),(497,1)}
       224:{2,4,6}:{(173,1),(174,1),(268,1),(272,1),(276,1)}
       225:{2,3,5,6}:{(174,1),(175,1),(183,1),(199,1),(273,1),(276,1),(277,1),(278,1),(285,1),(303,1),(361,1),(367,1),(370,1),(376,1),(379,1),(388,1),(397,1),(440,1),(456,1),(463,1),(498,1)}
       226:{2,4,6}:{(175,1),(176,1),(184,1),(269,1),(278,1)}
       227:{2,4,5,7}:{(176,1),(185,1),(201,1),(270,1),(278,1),(279,1),(302,1),(369,1),(381,1),(398,1),(452,1)}
       228:{1,3,7}:{(177,1),(178,1),(181,1),(280,1)}
       229:{1,2,4,7}:{(178,1),(179,1),(182,1),(186,1),(272,1),(280,1),(281,1),(282,1),(383,1),(398,1),(470,1),(515,1),(538,1)}
       230:{1,3,5,7}:{(179,1),(180,1),(183,1),(187,1),(273,1),(281,1),(282,1),(283,1),(382,1),(462,1)}
       231:{1,4,6,7}:{(180,1),(184,1),(188,1),(274,1),(282,1),(283,1),(385,1),(497,1)}
       232:{2,6}:{(181,1),(202,1),(280,1)}
       233:{1,3,6}:{(182,1),(189,1),(203,1),(276,1),(281,1),(285,1),(397,1),(537,1)}
       234:{1,4,6}:{(183,1),(190,1),(204,1),(277,1),(282,1),(287,1),(449,1)}
       235:{1,5}:{(184,1),(191,1),(278,1)}
       236:{1,4,6}:{(185,1),(192,1),(206,1),(279,1),(288,1)}
       237:{3,7}:{(186,1),(189,1)}
       238:{2,4,7}:{(187,1),(190,1),(193,1),(282,1),(290,1),(552,1)}
       239:{2,5,7}:{(188,1),(191,1),(194,1),(283,1),(292,1),(531,1)}
       240:{3,4,6}:{(189,1),(190,1),(207,1),(290,1),(293,1),(391,1),(505,1),(537,1)}
       241:{2,4,5}:{(190,1),(191,1),(195,1),(287,1),(293,1),(388,1),(531,1),(546,1)}
       242:{2,5,6}:{(191,1),(192,1),(196,1),(288,1),(295,1)}
       243:{2,4,6,7}:{(192,1),(197,1),(210,1),(289,1),(295,1),(311,1)}
       244:{4,5,7}:{(193,1),(194,1),(195,1),(296,1),(546,1),(552,1)}
       245:{3,5,6}:{(194,1),(292,1),(296,1),(391,1)}
       246:{4,5,6}:{(195,1),(196,1),(296,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(295,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(284,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(285,1),(300,1),(305,1),(306,1),(388,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(368,1),(449,1),(505,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(369,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(288,1),(303,1),(308,1),(309,1),(370,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(289,1),(304,1),(309,1),(371,1),(514,1)}
       258:{3,4,5}:{(207,1),(208,1),(293,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(295,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(219,1),(312,1),(315,1),(343,1),(426,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(220,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(324,1),(403,1)}
       267:{1,3,5}:{(216,1),(217,1),(223,1),(319,1),(320,1),(429,1),(473,1),(517,1)}
       268:{2,4,5}:{(217,1),(224,1),(319,1),(320,1),(411,1)}
       269:{3,4,6}:{(218,1),(226,1),(321,1),(322,1),(413,1)}
       270:{3,5,7}:{(218,1),(227,1),(321,1),(322,1),(351,1),(436,1)}
       271:{1,3,4,7}:{(219,1),(220,1),(223,1),(228,1),(315,1),(323,1),(324,1),(407,1),(415,1),(425,1),(476,1)}
       272:{2,4,7}:{(220,1),(221,1),(224,1),(324,1)}
       273:{2,3,5,7}:{(221,1),(222,1),(225,1),(230,1),(317,1),(324,1),(325,1),(326,1),(334,1),(353,1),(414,1),(417,1),(426,1),(436,1)}
       274:{2,4,6,7}:{(222,1),(226,1),(231,1),(318,1),(325,1),(326,1),(418,1),(472,1)}
       275:{2,4,6}:{(223,1),(232,1),(248,1),(319,1),(323,1),(328,1),(402,1),(411,1)}
       276:{3,6}:{(224,1),(320,1),(324,1)}
       277:{2,4,6}:{(225,1),(234,1),(249,1),(325,1),(329,1),(330,1),(404,1),(411,1),(413,1)}
       278:{2,5}:{(226,1),(235,1),(321,1)}
       279:{2,4,6}:{(227,1),(236,1),(251,1),(322,1),(331,1),(413,1)}
       280:{2,7}:{(228,1),(232,1)}
       281:{1,3,7}:{(229,1),(233,1),(237,1),(324,1),(334,1),(436,1),(545,1)}
       282:{1,4,7}:{(230,1),(234,1),(238,1),(325,1)}
       283:{1,5,7}:{(231,1),(235,1),(239,1),(326,1),(337,1),(517,1)}
       284:{1,2,6}:{(232,1),(252,1),(333,1),(338,1),(494,1)}
       285:{2,3,6}:{(232,1),(233,1),(253,1),(334,1),(338,1),(339,1),(494,1)}
       286:{1,3,4,6}:{(233,1),(234,1),(240,1),(254,1),(329,1),(335,1),(339,1),(340,1),(427,1)}
       287:{1,4,5}:{(234,1),(235,1),(241,1),(330,1),(340,1),(429,1),(517,1)}
       288:{1,5,6}:{(235,1),(236,1),(242,1),(331,1),(342,1)}
       289:{1,4,6,7}:{(236,1),(243,1),(257,1),(332,1),(342,1),(357,1)}
       290:{3,4,7}:{(237,1),(238,1),(240,1),(343,1),(545,1)}
       291:{2,4,5,7}:{(238,1),(239,1),(241,1),(244,1),(336,1),(343,1),(344,1),(426,1)}
       292:{2,5,6}:{(239,1),(245,1),(337,1),(344,1)}
       293:{3,5}:{(240,1),(241,1)}
       294:{2,4,5,6}:{(241,1),(242,1),(246,1),(259,1),(341,1),(344,1),(346,1),(347,1),(430,1),(525,1),(541,1),(550,1)}
       295:{2,5,7}:{(242,1),(243,1),(247,1),(342,1)}
       296:{4,6}:{(244,1),(245,1)}
       297:{3,5,6,7}:{(245,1),(247,1),(345,1),(348,1),(432,1),(551,1)}
       298:{4,5,7}:{(246,1),(247,1),(348,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(338,1),(349,1),(354,1),(429,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(340,1),(351,1),(355,1),(356,1),(412,1),(434,1),(481,1),(524,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(413,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(342,1),(353,1),(357,1),(414,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(346,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(391,1),(463,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(271,1),(359,1),(362,1),(363,1),(462,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(272,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(269,1),(274,1),(364,1),(365,1),(371,1),(374,1),(441,1),(446,1),(452,1),(456,1)}
       319:{2,5}:{(267,1),(275,1)}
       320:{3,5}:{(268,1),(276,1),(368,1)}
       321:{3,5}:{(269,1),(278,1),(369,1)}
       322:{3,6}:{(270,1),(279,1)}
       323:{2,4,7}:{(271,1),(275,1),(280,1),(362,1),(373,1)}
       324:{3,7}:{(272,1),(276,1)}
       325:{2,4,7}:{(273,1),(277,1),(282,1),(364,1),(374,1),(452,1)}
       326:{2,5,7}:{(274,1),(278,1),(283,1),(365,1),(376,1),(498,1)}
       327:{1,2,4,6}:{(275,1),(284,1),(299,1),(366,1),(372,1),(377,1),(387,1),(439,1),(449,1),(458,1),(497,1)}
       328:{2,3,6}:{(275,1),(276,1),(300,1),(367,1),(373,1),(377,1)}
       329:{3,4,6}:{(276,1),(277,1),(301,1),(368,1),(374,1),(379,1),(397,1),(456,1)}
       330:{2,4,5}:{(277,1),(278,1),(287,1),(369,1),(379,1),(388,1),(442,1),(498,1)}
       331:{2,5,6}:{(278,1),(279,1),(288,1),(370,1),(381,1)}
       332:{2,4,6,7}:{(279,1),(289,1),(304,1),(371,1),(381,1),(398,1),(452,1)}
       333:{1,2,7}:{(280,1),(284,1),(382,1),(515,1)}
       334:{2,3,7}:{(280,1),(281,1),(285,1),(382,1),(383,1),(515,1)}
       335:{1,3,4,7}:{(281,1),(282,1),(286,1),(290,1),(374,1),(383,1),(384,1)}
       336:{1,4,5,7}:{(282,1),(283,1),(287,1),(291,1),(375,1),(384,1),(385,1),(462,1)}
       337:{1,5,6}:{(283,1),(292,1),(376,1),(385,1)}
       338:{1,3,6}:{(284,1),(285,1),(305,1),(382,1),(387,1)}
       339:{2,4,6}:{(285,1),(286,1),(306,1),(383,1),(387,1),(388,1),(463,1)}
       340:{1,3,5}:{(286,1),(287,1),(293,1),(379,1),(388,1)}
       341:{1,4,5,6}:{(287,1),(288,1),(294,1),(308,1),(380,1),(385,1),(389,1),(390,1),(465,1),(507,1),(532,1)}
       342:{1,5,7}:{(288,1),(289,1),(295,1),(381,1)}
       343:{3,5,7}:{(290,1),(291,1),(293,1),(391,1)}
       344:{2,4,6}:{(291,1),(292,1),(296,1),(385,1),(391,1),(463,1)}
       345:{2,5,6,7}:{(292,1),(295,1),(297,1),(386,1),(392,1),(548,1)}
       346:{3,5,6}:{(293,1),(294,1),(310,1),(391,1),(393,1),(537,1)}
       347:{2,4,5,7}:{(294,1),(295,1),(298,1),(311,1),(390,1),(392,1),(393,1),(466,1),(538,1),(548,1),(552,1)}
       348:{4,6,7}:{(296,1),(297,1),(298,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(505,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(388,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(389,1),(397,1),(400,1),(401,1),(451,1),(468,1),(507,1),(537,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(452,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(491,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(323,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(324,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(321,1),(326,1),(408,1),(409,1),(473,1)}
       366:{1,2,5}:{(319,1),(327,1),(410,1),(429,1),(488,1),(517,1)}
       367:{2,3,5}:{(319,1),(320,1),(328,1),(410,1),(411,1)}
       368:{3,4}:{(320,1),(411,1)}
       369:{4,5}:{(321,1),(413,1)}
       370:{3,5,6}:{(321,1),(322,1),(331,1),(413,1),(414,1)}
       371:{3,6,7}:{(322,1),(332,1),(414,1),(436,1)}
       372:{1,2,4,7}:{(323,1),(327,1),(333,1),(405,1),(415,1),(425,1),(476,1),(484,1)}
       373:{2,3,7}:{(323,1),(324,1),(328,1),(415,1)}
       374:{3,4,7}:{(324,1),(325,1),(329,1),(417,1),(436,1)}
       375:{2,4,5,7}:{(325,1),(326,1),(330,1),(336,1),(408,1),(417,1),(418,1),(426,1)}
       376:{2,5,6}:{(326,1),(337,1),(409,1),(418,1)}
       377:{1,3,6}:{(327,1),(328,1),(349,1),(410,1),(415,1),(420,1)}
       378:{2,3,4,6}:{(328,1),(329,1),(339,1),(350,1),(411,1),(416,1),(421,1),(422,1),(435,1),(472,1),(482,1),(486,1)}
       379:{3,5}:{(329,1),(330,1)}
       380:{2,4,5,6}:{(330,1),(331,1),(341,1),(352,1),(413,1),(418,1),(423,1),(424,1),(430,1),(474,1),(482,1),(518,1)}
       381:{2,5,7}:{(331,1),(332,1),(342,1),(414,1)}
       382:{1,3,7}:{(333,1),(334,1),(338,1),(425,1)}
       383:{2,4,7}:{(334,1),(335,1),(339,1),(425,1),(426,1)}
       384:{1,3,5,7}:{(335,1),(336,1),(340,1),(343,1),(417,1),(426,1),(427,1)}
       385:{1,4,6}:{(336,1),(337,1),(344,1),(418,1),(427,1),(491,1)}
       386:{1,5,6,7}:{(337,1),(342,1),(345,1),(419,1),(428,1),(542,1)}
       387:{1,4,6}:{(338,1),(339,1),(354,1),(425,1),(429,1),(491,1)}
       388:{2,5}:{(339,1),(340,1),(429,1)}
       389:{1,3,5,6}:{(340,1),(341,1),(346,1),(356,1),(423,1),(427,1),(430,1),(431,1)}
       390:{1,4,5,7}:{(341,1),(342,1),(347,1),(357,1),(424,1),(428,1),(431,1),(493,1),(526,1),(542,1)}
       391:{3,6}:{(343,1),(344,1)}
       392:{2,4,6,7}:{(344,1),(345,1),(347,1),(348,1),(428,1),(432,1),(492,1)}
       393:{3,5,7}:{(346,1),(347,1),(358,1),(432,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(524,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(429,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(430,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(431,1),(436,1),(438,1),(483,1),(495,1),(526,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(372,1),(439,1),(443,1),(462,1),(509,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(373,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(368,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(369,1),(442,1),(446,1),(452,1)}
       409:{3,5,6}:{(365,1),(376,1),(446,1),(456,1)}
       410:{1,3,5}:{(366,1),(367,1),(377,1),(448,1),(449,1)}
       411:{2,4}:{(367,1),(368,1),(449,1)}
       412:{3,4,5}:{(368,1),(369,1),(379,1),(450,1),(451,1)}
       413:{4,6}:{(369,1),(370,1),(452,1)}
       414:{3,5,7}:{(370,1),(371,1),(381,1),(452,1)}
       415:{1,3,7}:{(372,1),(373,1),(377,1),(453,1)}
       416:{2,3,4,7}:{(373,1),(374,1),(378,1),(383,1),(444,1),(454,1),(455,1),(469,1),(508,1)}
       417:{3,5,7}:{(374,1),(375,1),(379,1),(456,1)}
       418:{2,4,6}:{(375,1),(376,1),(385,1),(446,1),(456,1),(463,1)}
       419:{2,5,6,7}:{(376,1),(381,1),(386,1),(447,1),(457,1),(533,1)}
       420:{2,3,6}:{(377,1),(394,1),(448,1),(453,1),(458,1),(537,1)}
       421:{1,3,4,6}:{(377,1),(378,1),(387,1),(395,1),(449,1),(454,1),(458,1),(459,1),(468,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       422:{2,3,5}:{(378,1),(379,1),(388,1),(450,1),(459,1),(498,1)}
       423:{3,5,6}:{(379,1),(380,1),(397,1),(451,1),(456,1),(461,1)}
       424:{2,4,5,7}:{(380,1),(381,1),(390,1),(398,1),(452,1),(457,1),(461,1),(466,1),(500,1),(508,1),(533,1)}
       425:{1,4,7}:{(382,1),(383,1),(387,1),(462,1)}
       426:{2,5,7}:{(383,1),(384,1),(388,1),(462,1),(463,1)}
       427:{1,3,6}:{(384,1),(385,1),(391,1),(456,1),(463,1)}
       428:{1,4,6,7}:{(385,1),(386,1),(390,1),(392,1),(457,1),(464,1),(514,1)}
       429:{1,5}:{(387,1),(388,1)}
       430:{2,5,6}:{(388,1),(389,1),(400,1),(463,1),(465,1),(466,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(393,1),(401,1),(461,1),(464,1),(466,1)}
       432:{3,6,7}:{(391,1),(392,1),(393,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(537,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(491,1),(527,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(415,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(411,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(417,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(419,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(410,1),(420,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(410,1),(411,1),(480,1)}
       450:{2,4,5}:{(411,1),(412,1),(422,1),(481,1),(482,1)}
       451:{3,4,6}:{(412,1),(413,1),(423,1),(482,1),(483,1)}
       452:{4,7}:{(413,1),(414,1)}
       453:{2,3,7}:{(415,1),(420,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(415,1),(416,1),(421,1),(425,1),(476,1),(484,1),(485,1),(495,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(416,1),(417,1),(422,1),(426,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(417,1),(418,1)}
       457:{2,4,6,7}:{(418,1),(419,1),(424,1),(428,1),(479,1),(487,1),(492,1)}
       458:{2,4,6}:{(420,1),(421,1),(433,1),(480,1),(484,1),(488,1),(494,1),(527,1)}
       459:{1,3,5}:{(421,1),(422,1),(429,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(422,1),(423,1),(430,1),(435,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(423,1),(424,1),(436,1),(483,1),(487,1)}
       462:{1,5,7}:{(425,1),(426,1),(429,1),(491,1)}
       463:{2,6}:{(426,1),(427,1),(491,1)}
       464:{1,3,6,7}:{(427,1),(428,1),(431,1),(432,1),(487,1),(492,1)}
       465:{1,5,6}:{(429,1),(430,1),(437,1),(491,1),(493,1)}
       466:{2,5,7}:{(430,1),(431,1),(438,1),(492,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(515,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(462,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(463,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(465,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(466,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{1,6}:{(462,1),(463,1)}
       492:{2,6,7}:{(463,1),(464,1),(466,1),(514,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(514,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(491,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(492,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(494,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(493,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{1,6,7}:{(491,1),(492,1),(493,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(514,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(515,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 689 :   0:{3,4,5,7}:{(1,1),(2,1),(13,1),(67,1),(103,1),(197,1),(301,1),(376,1),(379,1)}
         1:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(42,1),(70,1),(150,1),(251,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(417,1),(420,1)}
         3:{2,3,4,7}:{(6,1),(10,1),(11,1),(70,1),(90,1),(150,1),(237,1),(332,1),(336,1)}
         4:{3,4,6,7}:{(2,1),(12,1),(13,1),(15,1),(50,1),(103,1)}
         5:{3,5,6,7}:{(13,1),(14,1),(15,1),(50,1),(375,1),(394,1)}
         6:{2,3,5,7}:{(1,1),(3,1),(16,1),(17,1),(24,1),(379,1),(383,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(18,1),(19,1),(46,1),(66,1),(102,1),(112,1),(202,1)}
         8:{2,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1)}
         9:{3,5,6}:{(2,1),(13,1),(20,1),(21,1),(301,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(22,1),(23,1),(56,1),(61,1),(102,1),(112,1),(186,1),(291,1),(384,1)}
        11:{2,3,4,6}:{(3,1),(17,1),(23,1),(24,1),(55,1),(126,1),(199,1),(209,1),(218,1),(227,1),(305,1),(309,1)}
        12:{2,4,6,7}:{(4,1),(8,1),(25,1),(26,1),(27,1),(70,1)}
        13:{3,5,7}:{(4,1),(9,1),(27,1),(28,1)}
        14:{2,5,6,7}:{(5,1),(27,1),(29,1),(30,1),(330,1),(347,1)}
        15:{4,6,7}:{(5,1),(28,1),(417,1),(433,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(10,1),(31,1),(32,1),(34,1),(41,1),(425,1)}
        17:{2,3,6}:{(6,1),(8,1),(32,1),(420,1),(424,1)}
        18:{2,4,5,7}:{(7,1),(31,1),(34,1),(35,1),(72,1),(80,1),(97,1),(140,1),(143,1),(157,1),(163,1)}
        19:{1,4,6}:{(7,1),(8,1),(32,1),(35,1),(36,1)}
        20:{2,5,6}:{(8,1),(9,1),(27,1),(36,1),(251,1)}
        21:{4,5,6}:{(9,1),(28,1),(351,1),(417,1)}
        22:{2,4,7}:{(10,1),(31,1),(39,1),(40,1),(342,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(32,1),(40,1),(41,1),(83,1),(86,1),(92,1),(153,1),(159,1),(172,1),(177,1),(262,1),(278,1),(359,1)}
        24:{2,3,5}:{(11,1),(41,1),(42,1),(251,1),(354,1),(358,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(43,1),(44,1),(50,1),(110,1)}
        26:{1,4,6,7}:{(12,1),(19,1),(43,1),(45,1),(46,1),(102,1)}
        27:{2,5,7}:{(12,1),(13,1),(20,1),(46,1)}
        28:{4,5,7}:{(13,1),(15,1),(21,1)}
        29:{1,5,6,7}:{(14,1),(46,1),(48,1),(49,1),(283,1),(298,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(47,1),(49,1),(50,1),(110,1),(378,1)}
        31:{2,5,7}:{(16,1),(22,1),(53,1),(65,1)}
        32:{1,3,6}:{(16,1),(17,1),(19,1),(53,1),(57,1),(461,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(24,1),(44,1),(54,1),(55,1),(60,1),(124,1),(209,1)}
        34:{3,5,7}:{(18,1),(56,1),(57,1),(121,1),(134,1),(186,1)}
        35:{2,4,6}:{(18,1),(19,1),(53,1),(57,1),(58,1),(122,1)}
        36:{1,5,6}:{(19,1),(20,1),(46,1),(58,1),(202,1)}
        37:{2,4,5,6}:{(20,1),(21,1),(47,1),(55,1),(59,1),(60,1),(124,1),(304,1),(317,1),(378,1),(393,1),(468,1)}
        38:{1,2,4,7}:{(22,1),(51,1),(61,1),(62,1),(112,1),(125,1),(384,1),(385,1)}
        39:{2,3,7}:{(22,1),(61,1),(64,1),(186,1)}
        40:{2,4,6}:{(22,1),(23,1),(53,1),(64,1),(65,1),(133,1),(315,1),(328,1)}
        41:{1,3,5}:{(23,1),(24,1),(65,1),(66,1),(121,1),(134,1),(202,1),(404,1)}
        42:{2,4,5}:{(24,1),(55,1),(66,1),(67,1),(218,1)}
        43:{1,3,6,7}:{(25,1),(26,1),(32,1),(68,1),(69,1),(71,1),(149,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(33,1),(69,1),(70,1),(74,1),(145,1),(237,1)}
        45:{2,4,6,7}:{(26,1),(35,1),(68,1),(71,1),(72,1),(140,1),(143,1)}
        46:{1,5,7}:{(26,1),(27,1),(36,1),(72,1)}
        47:{2,4,5,7}:{(27,1),(28,1),(30,1),(37,1),(70,1),(73,1),(74,1),(145,1),(345,1),(347,1),(433,1)}
        48:{2,5,6,7}:{(29,1),(72,1),(75,1),(76,1),(234,1),(245,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(73,1),(76,1),(77,1),(149,1),(334,1)}
        50:{3,6,7}:{(30,1),(74,1),(420,1)}
        51:{1,2,5,7}:{(31,1),(38,1),(78,1),(79,1),(93,1),(167,1),(425,1)}
        52:{2,3,5,7}:{(31,1),(34,1),(39,1),(78,1),(80,1),(81,1),(96,1),(157,1)}
        53:{2,6}:{(31,1),(32,1)}
        54:{1,3,5,6}:{(32,1),(33,1),(36,1),(41,1),(69,1),(82,1),(83,1),(87,1),(159,1),(166,1),(262,1)}
        55:{2,4,6}:{(33,1),(42,1),(70,1),(83,1),(84,1)}
        56:{3,4,7}:{(34,1),(80,1),(86,1),(143,1),(177,1)}
        57:{3,6}:{(34,1),(35,1)}
        58:{2,5,6}:{(35,1),(36,1),(72,1),(87,1),(157,1)}
        59:{1,4,5,6}:{(36,1),(37,1),(73,1),(83,1),(88,1),(89,1),(166,1),(255,1),(265,1),(334,1),(346,1)}
        60:{3,5,6}:{(37,1),(74,1),(84,1),(354,1),(365,1),(420,1)}
        61:{1,3,7}:{(38,1),(39,1),(90,1),(92,1)}
        62:{1,2,4,6}:{(38,1),(40,1),(79,1),(92,1),(93,1),(153,1),(168,1),(172,1),(359,1),(360,1),(373,1)}
        63:{2,3,4,7}:{(39,1),(80,1),(91,1),(94,1),(95,1),(236,1),(276,1),(336,1),(447,1)}
        64:{2,3,6}:{(39,1),(40,1),(92,1),(96,1),(159,1),(374,1)}
        65:{2,5}:{(40,1),(41,1)}
        66:{1,4,5}:{(41,1),(42,1),(83,1),(97,1),(163,1),(172,1)}
        67:{3,4,5}:{(42,1),(84,1),(270,1),(354,1),(496,1)}
        68:{2,6,7}:{(43,1),(53,1),(101,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(46,1),(54,1),(101,1),(102,1),(105,1),(186,1),(192,1),(291,1)}
        70:{2,4,7}:{(44,1),(55,1),(102,1),(103,1)}
        71:{3,6,7}:{(45,1),(57,1),(105,1),(186,1)}
        72:{2,5,7}:{(45,1),(46,1),(58,1),(105,1)}
        73:{1,4,5,7}:{(46,1),(47,1),(49,1),(59,1),(102,1),(106,1),(107,1),(192,1),(295,1),(298,1)}
        74:{3,5,7}:{(47,1),(50,1),(60,1),(103,1),(392,1)}
        75:{3,5,6,7}:{(48,1),(105,1),(108,1),(109,1),(188,1),(194,1)}
        76:{2,4,6,7}:{(48,1),(49,1),(106,1),(108,1),(109,1),(110,1),(288,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(107,1),(109,1),(110,1),(382,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(61,1),(111,1),(112,1),(113,1),(129,1),(202,1)}
        79:{1,2,6}:{(51,1),(53,1),(113,1),(216,1),(461,1)}
        80:{2,4,7}:{(52,1),(56,1),(112,1),(116,1),(133,1)}
        81:{2,3,6}:{(52,1),(53,1),(57,1),(113,1),(116,1)}
        82:{2,5,6}:{(53,1),(54,1),(65,1),(101,1),(118,1),(315,1)}
        83:{1,4,6}:{(54,1),(55,1),(66,1),(102,1),(118,1),(122,1)}
        84:{3,4,6}:{(55,1),(60,1),(67,1),(103,1),(468,1)}
        85:{3,4,5,7}:{(56,1),(115,1),(120,1),(121,1),(189,1),(211,1),(226,1),(289,1),(327,1)}
        86:{3,4,6}:{(56,1),(57,1),(116,1),(121,1),(122,1)}
        87:{3,5,6}:{(57,1),(58,1),(105,1),(121,1),(122,1)}
        88:{2,4,5,6}:{(58,1),(59,1),(106,1),(118,1),(122,1),(123,1),(124,1),(193,1),(207,1),(214,1),(288,1),(297,1)}
        89:{1,3,5,6}:{(59,1),(60,1),(107,1),(119,1),(123,1),(124,1),(308,1),(382,1)}
        90:{2,3,7}:{(61,1),(125,1),(126,1),(409,1)}
        91:{1,3,4,7}:{(61,1),(63,1),(112,1),(125,1),(127,1),(128,1),(197,1),(322,1),(384,1),(409,1),(479,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(126,1),(129,1),(415,1)}
        93:{1,2,5}:{(62,1),(65,1),(129,1),(202,1),(217,1),(404,1)}
        94:{2,3,5,7}:{(63,1),(115,1),(127,1),(131,1),(132,1),(289,1),(383,1)}
        95:{2,3,4,6}:{(63,1),(64,1),(116,1),(128,1),(131,1),(132,1),(133,1),(208,1),(225,1),(309,1),(321,1),(410,1)}
        96:{2,3,5}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        97:{2,4,5}:{(65,1),(66,1),(118,1),(133,1),(134,1)}
        98:{1,3,4,5}:{(66,1),(67,1),(119,1),(134,1),(135,1),(213,1),(222,1),(228,1),(308,1),(316,1),(408,1)}
        99:{1,2,6,7}:{(68,1),(79,1),(136,1),(137,1),(149,1),(247,1),(267,1),(424,1),(490,1),(491,1),(527,1)}
       100:{2,3,6,7}:{(68,1),(71,1),(81,1),(136,1),(138,1),(139,1),(339,1),(424,1),(527,1),(528,1),(545,1)}
       101:{2,5,7}:{(68,1),(69,1),(82,1),(140,1),(342,1)}
       102:{1,4,7}:{(69,1),(70,1),(83,1),(140,1),(143,1)}
       103:{3,4,7}:{(70,1),(74,1),(84,1),(433,1)}
       104:{3,4,6,7}:{(71,1),(86,1),(138,1),(142,1),(143,1),(236,1),(240,1),(339,1),(545,1),(546,1),(551,1)}
       105:{3,5,7}:{(71,1),(72,1),(87,1),(143,1)}
       106:{2,4,5,7}:{(72,1),(73,1),(76,1),(88,1),(140,1),(143,1),(144,1),(145,1),(146,1),(242,1),(245,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(77,1),(89,1),(141,1),(144,1),(145,1)}
       108:{4,6,7}:{(75,1),(143,1),(146,1),(240,1)}
       109:{3,6,7}:{(76,1),(144,1),(339,1)}
       110:{2,6,7}:{(77,1),(145,1),(149,1),(424,1)}
       111:{2,3,5,7}:{(78,1),(90,1),(150,1),(151,1),(167,1),(169,1),(248,1),(251,1)}
       112:{1,4,7}:{(78,1),(80,1),(150,1),(153,1),(172,1)}
       113:{1,3,6}:{(78,1),(79,1),(81,1),(151,1),(153,1)}
       114:{1,2,5,6}:{(79,1),(82,1),(93,1),(137,1),(154,1),(155,1),(166,1),(266,1),(268,1),(358,1),(360,1),(424,1),(442,1),(443,1),(491,1),(501,1)}
       115:{2,4,5,7}:{(80,1),(85,1),(94,1),(152,1),(156,1),(157,1),(176,1),(258,1),(276,1)}
       116:{2,4,6}:{(80,1),(81,1),(86,1),(153,1),(157,1)}
       117:{2,3,5,6}:{(81,1),(82,1),(87,1),(96,1),(139,1),(154,1),(157,1),(158,1),(159,1),(234,1),(257,1),(260,1),(339,1),(358,1),(424,1),(501,1),(502,1),(528,1),(533,1),(544,1),(547,1)}
       118:{2,4,6}:{(82,1),(83,1),(97,1),(140,1),(159,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(89,1),(98,1),(141,1),(159,1),(160,1),(164,1),(262,1),(265,1),(365,1)}
       120:{3,4,6}:{(85,1),(156,1),(162,1),(240,1),(339,1)}
       121:{3,5}:{(86,1),(157,1),(163,1)}
       122:{4,6}:{(87,1),(143,1),(163,1)}
       123:{3,5,6}:{(88,1),(144,1),(159,1),(164,1),(260,1),(339,1)}
       124:{2,5,6}:{(89,1),(145,1),(160,1),(166,1),(358,1),(424,1)}
       125:{2,4,7}:{(90,1),(91,1),(167,1),(168,1),(504,1)}
       126:{2,3,6}:{(90,1),(92,1),(168,1),(169,1),(367,1),(450,1)}
       127:{1,3,5,7}:{(91,1),(94,1),(152,1),(167,1),(170,1),(171,1),(248,1),(425,1)}
       128:{1,3,4,6}:{(91,1),(92,1),(95,1),(153,1),(168,1),(170,1),(171,1),(172,1),(249,1),(270,1),(272,1),(359,1),(367,1),(369,1),(448,1)}
       129:{1,3,5}:{(92,1),(93,1),(96,1),(169,1),(172,1)}
       130:{1,2,4,5}:{(93,1),(97,1),(155,1),(172,1),(173,1),(179,1),(255,1),(269,1),(274,1),(279,1),(358,1),(364,1),(372,1),(373,1),(443,1),(449,1),(499,1),(503,1)}
       131:{2,3,6}:{(94,1),(156,1),(170,1),(339,1),(424,1)}
       132:{2,3,5}:{(95,1),(157,1),(171,1),(176,1),(260,1),(358,1)}
       133:{2,4}:{(96,1),(172,1),(177,1)}
       134:{3,5}:{(97,1),(159,1),(177,1)}
       135:{2,4,5}:{(98,1),(160,1),(178,1),(179,1),(274,1),(279,1),(358,1)}
       136:{1,3,6,7}:{(99,1),(100,1),(113,1),(180,1),(181,1),(182,1),(382,1),(461,1),(513,1)}
       137:{1,2,5,7}:{(99,1),(101,1),(114,1),(182,1),(183,1),(192,1),(296,1),(318,1),(383,1),(385,1),(476,1),(520,1)}
       138:{2,4,6,7}:{(100,1),(104,1),(116,1),(181,1),(184,1),(185,1),(288,1),(540,1)}
       139:{2,3,5,7}:{(100,1),(101,1),(105,1),(117,1),(182,1),(184,1),(185,1),(186,1),(286,1),(289,1),(383,1),(520,1),(542,1),(548,1)}
       140:{2,4,7}:{(101,1),(102,1),(118,1),(186,1)}
       141:{1,3,4,7}:{(102,1),(103,1),(107,1),(119,1),(186,1),(187,1),(190,1),(291,1),(295,1),(392,1)}
       142:{3,5,7}:{(104,1),(121,1),(184,1),(188,1),(189,1),(550,1)}
       143:{4,7}:{(105,1),(122,1)}
       144:{3,5,7}:{(106,1),(109,1),(123,1),(186,1),(190,1)}
       145:{2,5,7}:{(107,1),(110,1),(124,1),(187,1),(192,1)}
       146:{4,5,7}:{(108,1),(193,1),(194,1)}
       147:{3,4,6,7}:{(108,1),(109,1),(190,1),(194,1),(195,1),(293,1)}
       148:{2,3,6,7}:{(109,1),(110,1),(191,1),(195,1),(196,1),(387,1)}
       149:{1,6,7}:{(110,1),(192,1),(461,1)}
       150:{2,4,7}:{(111,1),(112,1),(197,1),(199,1),(218,1)}
       151:{2,3,6}:{(111,1),(113,1),(199,1),(216,1),(300,1)}
       152:{1,4,5,7}:{(112,1),(115,1),(127,1),(198,1),(201,1),(202,1),(221,1),(306,1),(322,1)}
       153:{1,4,6}:{(112,1),(113,1),(116,1),(199,1),(202,1)}
       154:{1,3,5,6}:{(113,1),(114,1),(117,1),(129,1),(182,1),(200,1),(202,1),(203,1),(204,1),(283,1),(308,1),(310,1),(382,1),(404,1),(461,1),(477,1),(513,1),(541,1)}
       155:{1,2,4,6}:{(114,1),(118,1),(130,1),(183,1),(203,1),(204,1),(210,1),(309,1),(315,1),(317,1),(319,1),(414,1),(480,1),(518,1)}
       156:{2,4,6}:{(115,1),(120,1),(131,1),(201,1),(206,1)}
       157:{2,5}:{(116,1),(121,1),(202,1)}
       158:{2,4,6}:{(117,1),(122,1),(133,1),(185,1),(203,1),(207,1),(208,1),(521,1),(549,1)}
       159:{3,6}:{(118,1),(134,1),(186,1)}
       160:{2,4,6}:{(119,1),(124,1),(135,1),(187,1),(209,1),(210,1),(315,1)}
       161:{3,4,6,7}:{(120,1),(205,1),(211,1),(292,1),(327,1),(386,1)}
       162:{3,5,6}:{(120,1),(121,1),(206,1),(211,1),(212,1)}
       163:{4,5}:{(121,1),(122,1)}
       164:{3,4,6}:{(122,1),(123,1),(190,1),(213,1),(214,1)}
       165:{2,3,5,6}:{(123,1),(124,1),(191,1),(209,1),(214,1),(215,1),(297,1),(313,1),(387,1)}
       166:{1,5,6}:{(124,1),(192,1),(210,1),(404,1),(461,1)}
       167:{2,5,7}:{(125,1),(127,1),(216,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(128,1),(216,1),(217,1),(218,1),(412,1),(480,1)}
       169:{2,3,5}:{(126,1),(129,1),(217,1),(218,1),(320,1)}
       170:{1,3,6}:{(127,1),(131,1),(201,1),(216,1),(300,1),(461,1)}
       171:{1,3,5}:{(128,1),(132,1),(202,1),(217,1),(221,1),(301,1),(320,1),(404,1)}
       172:{1,4}:{(129,1),(133,1),(218,1)}
       173:{1,3,5}:{(130,1),(134,1),(204,1),(222,1),(223,1),(320,1),(408,1),(415,1),(519,1)}
       174:{2,3,6,7}:{(131,1),(205,1),(219,1),(224,1),(386,1),(460,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(206,1),(220,1),(224,1),(225,1),(312,1),(403,1),(410,1)}
       176:{2,4,5}:{(132,1),(133,1),(221,1),(225,1),(226,1)}
       177:{3,4}:{(133,1),(134,1)}
       178:{2,3,5}:{(134,1),(135,1),(209,1),(227,1),(228,1),(408,1)}
       179:{1,4,5}:{(135,1),(210,1),(228,1),(325,1),(404,1)}
       180:{2,3,6,7}:{(136,1),(151,1),(229,1),(230,1),(247,1),(267,1),(348,1),(349,1),(420,1),(424,1),(493,1)}
       181:{1,4,6,7}:{(136,1),(138,1),(153,1),(229,1),(231,1),(232,1),(334,1),(530,1)}
       182:{1,3,5,7}:{(136,1),(137,1),(139,1),(154,1),(230,1),(231,1),(232,1),(233,1),(337,1),(425,1)}
       183:{1,2,4,7}:{(137,1),(140,1),(155,1),(232,1),(233,1),(238,1),(336,1),(342,1),(345,1),(366,1),(451,1),(504,1),(532,1)}
       184:{2,5,7}:{(138,1),(142,1),(157,1),(231,1),(234,1),(547,1)}
       185:{2,4,7}:{(139,1),(143,1),(158,1),(232,1),(236,1),(551,1)}
       186:{3,7}:{(140,1),(159,1)}
       187:{2,4,7}:{(141,1),(145,1),(160,1),(237,1),(238,1),(342,1)}
       188:{3,5,6}:{(142,1),(234,1),(240,1),(339,1)}
       189:{4,5,7}:{(142,1),(143,1),(163,1),(240,1),(551,1),(552,1)}
       190:{3,4,7}:{(143,1),(144,1),(164,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(148,1),(165,1),(237,1),(242,1),(243,1),(245,1)}
       192:{1,5,7}:{(145,1),(149,1),(166,1),(238,1)}
       193:{4,5,6}:{(146,1),(240,1),(244,1),(552,1)}
       194:{3,5,7}:{(146,1),(147,1),(244,1),(245,1)}
       195:{2,4,6,7}:{(147,1),(148,1),(242,1),(245,1),(246,1),(343,1)}
       196:{1,3,6,7}:{(148,1),(149,1),(243,1),(246,1),(247,1),(348,1),(427,1)}
       197:{3,4,7}:{(150,1),(248,1),(249,1),(270,1),(434,1)}
       198:{2,4,5,7}:{(150,1),(152,1),(167,1),(248,1),(250,1),(251,1),(269,1),(351,1),(352,1),(366,1),(434,1)}
       199:{2,4,6}:{(150,1),(151,1),(153,1),(249,1),(251,1)}
       200:{2,3,5,6}:{(151,1),(154,1),(169,1),(230,1),(251,1),(252,1),(257,1),(266,1),(268,1),(330,1),(350,1),(354,1),(358,1),(365,1),(367,1),(420,1),(424,1),(432,1),(445,1),(493,1),(531,1)}
       201:{1,4,6}:{(152,1),(156,1),(170,1),(250,1),(254,1)}
       202:{1,5}:{(153,1),(157,1),(251,1)}
       203:{1,4,6}:{(154,1),(158,1),(172,1),(232,1),(252,1),(255,1),(503,1)}
       204:{1,3,6}:{(155,1),(159,1),(173,1),(233,1),(257,1),(365,1),(367,1),(533,1)}
       205:{2,4,6,7}:{(156,1),(161,1),(174,1),(253,1),(258,1),(276,1)}
       206:{2,5,6}:{(156,1),(157,1),(162,1),(254,1),(258,1)}
       207:{2,4,5}:{(157,1),(158,1),(163,1),(255,1),(260,1),(358,1),(547,1),(552,1)}
       208:{3,4,6}:{(158,1),(159,1),(177,1),(236,1),(260,1),(339,1),(533,1),(534,1)}
       209:{2,3,6}:{(159,1),(160,1),(178,1),(237,1),(262,1),(365,1)}
       210:{1,4,6}:{(160,1),(166,1),(179,1),(238,1),(262,1)}
       211:{3,5,7}:{(161,1),(162,1),(258,1),(263,1)}
       212:{4,5,6}:{(162,1),(163,1),(240,1),(263,1)}
       213:{3,4,5}:{(163,1),(164,1),(260,1),(264,1),(534,1)}
       214:{2,4,6}:{(164,1),(165,1),(242,1),(264,1),(265,1)}
       215:{1,3,5,6}:{(165,1),(166,1),(243,1),(262,1),(265,1),(266,1),(346,1),(362,1),(365,1),(427,1),(432,1)}
       216:{2,6}:{(167,1),(170,1)}
       217:{2,5}:{(168,1),(171,1)}
       218:{2,4}:{(169,1),(172,1),(270,1)}
       219:{1,3,6,7}:{(170,1),(174,1),(253,1),(267,1),(271,1),(349,1),(490,1)}
       220:{1,3,5,6}:{(170,1),(171,1),(175,1),(254,1),(268,1),(271,1),(272,1),(350,1),(367,1),(442,1),(448,1)}
       221:{1,4,5}:{(171,1),(172,1),(176,1),(269,1),(272,1),(351,1)}
       222:{1,3,4}:{(172,1),(173,1),(177,1),(270,1),(274,1),(446,1),(503,1),(534,1)}
       223:{2,3,5}:{(173,1),(257,1),(274,1),(275,1),(279,1),(358,1),(374,1),(449,1),(450,1)}
       224:{2,3,5,7}:{(174,1),(175,1),(258,1),(271,1),(276,1),(361,1),(441,1),(447,1)}
       225:{2,4,6}:{(175,1),(176,1),(272,1),(276,1),(277,1)}
       226:{3,4,5}:{(176,1),(177,1),(260,1),(277,1),(552,1)}
       227:{2,3,4}:{(177,1),(178,1),(274,1),(278,1),(446,1),(450,1)}
       228:{1,3,5}:{(178,1),(179,1),(262,1),(278,1),(279,1)}
       229:{2,4,6,7}:{(180,1),(181,1),(199,1),(280,1),(281,1),(282,1),(378,1),(515,1)}
       230:{2,3,5,7}:{(180,1),(182,1),(200,1),(281,1),(282,1),(286,1),(296,1),(318,1),(379,1),(383,1),(392,1),(394,1),(395,1),(409,1)}
       231:{1,5,7}:{(181,1),(184,1),(202,1),(281,1),(283,1),(541,1)}
       232:{1,4,7}:{(182,1),(185,1),(203,1),(282,1)}
       233:{1,3,7}:{(183,1),(186,1),(204,1),(286,1),(392,1),(409,1),(542,1)}
       234:{2,5,6}:{(184,1),(188,1),(283,1),(288,1)}
       235:{2,4,5,7}:{(184,1),(185,1),(189,1),(207,1),(284,1),(288,1),(289,1),(383,1)}
       236:{3,4,7}:{(185,1),(186,1),(208,1),(289,1),(542,1)}
       237:{2,3,7}:{(186,1),(187,1),(209,1),(291,1),(392,1)}
       238:{1,4,7}:{(187,1),(192,1),(210,1),(291,1)}
       239:{3,5,6,7}:{(188,1),(211,1),(287,1),(292,1),(386,1),(548,1)}
       240:{4,6}:{(188,1),(189,1)}
       241:{3,4,5,7}:{(189,1),(190,1),(194,1),(213,1),(289,1),(293,1),(294,1),(539,1),(550,1)}
       242:{2,4,7}:{(190,1),(191,1),(214,1),(295,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(196,1),(215,1),(291,1),(295,1),(296,1),(298,1),(392,1),(394,1)}
       244:{3,5,6}:{(193,1),(194,1),(293,1),(297,1),(550,1)}
       245:{2,5,7}:{(194,1),(195,1),(297,1),(298,1)}
       246:{1,4,6,7}:{(195,1),(196,1),(295,1),(298,1),(299,1),(390,1)}
       247:{2,6,7}:{(196,1),(296,1),(464,1)}
       248:{3,5,7}:{(197,1),(198,1),(300,1),(301,1),(320,1),(409,1)}
       249:{3,4,6}:{(197,1),(199,1),(300,1),(301,1),(396,1)}
       250:{2,4,6}:{(198,1),(201,1),(216,1),(300,1),(303,1),(396,1)}
       251:{2,5}:{(199,1),(202,1),(301,1)}
       252:{2,4,6}:{(200,1),(203,1),(218,1),(282,1),(304,1),(305,1),(396,1),(468,1),(478,1)}
       253:{1,4,6,7}:{(201,1),(205,1),(219,1),(302,1),(306,1),(322,1)}
       254:{1,5,6}:{(201,1),(202,1),(206,1),(303,1),(306,1)}
       255:{1,4,5}:{(202,1),(203,1),(207,1),(304,1),(308,1),(404,1),(541,1)}
       256:{1,3,4,6}:{(203,1),(204,1),(208,1),(222,1),(285,1),(305,1),(308,1),(309,1),(382,1)}
       257:{2,3,6}:{(204,1),(223,1),(286,1),(309,1),(310,1),(315,1),(480,1)}
       258:{2,5,7}:{(205,1),(206,1),(211,1),(306,1)}
       259:{2,4,5,6}:{(206,1),(207,1),(212,1),(225,1),(288,1),(307,1),(311,1),(312,1),(403,1),(518,1),(536,1),(549,1)}
       260:{3,5}:{(207,1),(208,1)}
       261:{2,3,4,6}:{(208,1),(209,1),(214,1),(227,1),(290,1),(309,1),(313,1),(314,1),(387,1),(475,1),(521,1),(540,1)}
       262:{1,3,6}:{(209,1),(210,1),(228,1),(291,1),(315,1)}
       263:{4,5,7}:{(211,1),(212,1),(292,1)}
       264:{2,4,5}:{(213,1),(214,1),(313,1),(316,1),(521,1)}
       265:{1,4,6}:{(214,1),(215,1),(295,1),(316,1),(317,1),(468,1)}
       266:{2,5,6}:{(215,1),(296,1),(315,1),(317,1),(406,1),(464,1)}
       267:{2,6,7}:{(216,1),(219,1),(318,1)}
       268:{2,5,6}:{(216,1),(217,1),(220,1),(318,1),(319,1),(480,1)}
       269:{2,4,5}:{(217,1),(218,1),(221,1),(319,1),(320,1)}
       270:{3,4}:{(218,1),(320,1)}
       271:{1,3,5,7}:{(219,1),(220,1),(224,1),(306,1),(318,1),(322,1),(395,1),(409,1),(476,1),(479,1)}
       272:{1,4,6}:{(220,1),(221,1),(225,1),(319,1),(322,1),(396,1)}
       273:{1,3,4,5}:{(221,1),(222,1),(226,1),(308,1),(320,1),(323,1),(324,1),(397,1),(411,1),(471,1),(519,1)}
       274:{2,4}:{(222,1),(223,1),(325,1)}
       275:{1,3,5}:{(223,1),(310,1),(325,1),(326,1),(404,1),(415,1)}
       276:{2,4,7}:{(224,1),(225,1),(322,1),(327,1)}
       277:{3,4,6}:{(225,1),(226,1),(312,1),(327,1),(549,1)}
       278:{1,3,4}:{(227,1),(228,1),(325,1),(328,1),(415,1)}
       279:{2,5}:{(228,1),(315,1),(328,1)}
       280:{3,4,6,7}:{(229,1),(249,1),(329,1),(332,1),(348,1),(349,1),(417,1),(420,1),(433,1),(434,1),(495,1)}
       281:{2,5,7}:{(229,1),(231,1),(251,1),(329,1),(330,1),(531,1)}
       282:{2,4,7}:{(230,1),(232,1),(252,1),(332,1),(433,1),(434,1)}
       283:{1,5,6}:{(231,1),(234,1),(330,1),(334,1)}
       284:{1,4,5,7}:{(231,1),(232,1),(235,1),(255,1),(331,1),(334,1),(335,1),(425,1)}
       285:{1,3,4,7}:{(232,1),(233,1),(236,1),(256,1),(332,1),(335,1),(336,1)}
       286:{2,3,7}:{(233,1),(257,1),(336,1),(337,1),(342,1),(504,1)}
       287:{2,5,6,7}:{(234,1),(239,1),(258,1),(333,1),(338,1),(543,1)}
       288:{2,4,6}:{(234,1),(235,1),(240,1),(334,1),(339,1),(424,1)}
       289:{3,5,7}:{(235,1),(236,1),(260,1),(339,1)}
       290:{2,3,4,7}:{(236,1),(237,1),(242,1),(261,1),(336,1),(340,1),(341,1),(489,1),(529,1)}
       291:{1,3,7}:{(237,1),(238,1),(262,1),(342,1)}
       292:{4,6,7}:{(239,1),(240,1),(263,1),(551,1)}
       293:{3,4,6}:{(240,1),(241,1),(244,1),(339,1),(343,1)}
       294:{2,4,5,7}:{(241,1),(242,1),(245,1),(264,1),(340,1),(343,1),(344,1),(529,1),(547,1)}
       295:{1,4,7}:{(242,1),(243,1),(265,1),(345,1),(433,1)}
       296:{2,5,7}:{(243,1),(247,1),(266,1),(342,1),(345,1)}
       297:{2,5,6}:{(244,1),(245,1),(343,1),(346,1),(547,1)}
       298:{1,5,7}:{(245,1),(246,1),(346,1),(347,1)}
       299:{2,4,6,7}:{(246,1),(247,1),(345,1),(347,1),(348,1),(430,1),(433,1)}
       300:{3,6}:{(248,1),(250,1)}
       301:{3,5}:{(249,1),(251,1),(351,1)}
       302:{2,4,6,7}:{(250,1),(253,1),(267,1),(349,1),(352,1),(366,1),(434,1)}
       303:{2,5,6}:{(250,1),(251,1),(254,1),(350,1),(352,1)}
       304:{2,4,5}:{(251,1),(252,1),(255,1),(351,1),(354,1),(358,1),(496,1),(531,1)}
       305:{3,4,6}:{(252,1),(270,1),(332,1),(354,1),(365,1),(367,1),(420,1),(446,1)}
       306:{1,5,7}:{(253,1),(254,1),(258,1),(352,1)}
       307:{1,4,5,6}:{(254,1),(255,1),(259,1),(272,1),(334,1),(353,1),(356,1),(357,1),(442,1),(498,1),(523,1)}
       308:{1,3,5}:{(255,1),(256,1),(260,1),(354,1),(358,1)}
       309:{2,4,6}:{(256,1),(257,1),(274,1),(336,1),(358,1),(359,1),(424,1)}
       310:{1,3,6}:{(257,1),(275,1),(337,1),(359,1),(360,1)}
       311:{2,4,5,7}:{(258,1),(259,1),(263,1),(276,1),(338,1),(356,1),(361,1),(441,1),(532,1),(543,1),(551,1)}
       312:{3,5,6}:{(259,1),(260,1),(277,1),(339,1),(361,1),(533,1)}
       313:{2,3,5}:{(260,1),(261,1),(264,1),(358,1),(362,1),(547,1)}
       314:{1,3,4,6}:{(261,1),(262,1),(265,1),(278,1),(341,1),(359,1),(362,1),(363,1),(365,1),(427,1),(444,1),(446,1),(495,1),(503,1),(530,1)}
       315:{2,6}:{(262,1),(279,1),(342,1)}
       316:{1,4,5}:{(264,1),(265,1),(362,1),(364,1),(496,1),(503,1)}
       317:{2,4,6}:{(265,1),(266,1),(345,1),(364,1),(365,1)}
       318:{2,5,7}:{(267,1),(268,1),(271,1),(366,1),(504,1)}
       319:{2,4,6}:{(268,1),(269,1),(272,1),(366,1),(367,1)}
       320:{3,5}:{(269,1),(270,1),(367,1)}
       321:{2,3,4}:{(270,1),(274,1),(368,1),(369,1),(374,1),(534,1)}
       322:{1,4,7}:{(271,1),(272,1),(276,1),(366,1),(434,1)}
       323:{1,3,4,6}:{(272,1),(273,1),(277,1),(357,1),(367,1),(370,1),(371,1),(435,1),(448,1),(498,1),(533,1)}
       324:{2,4,5}:{(273,1),(274,1),(358,1),(368,1),(371,1),(372,1),(449,1)}
       325:{1,4}:{(274,1),(275,1)}
       326:{1,2,5}:{(275,1),(279,1),(360,1),(373,1),(449,1)}
       327:{3,4,7}:{(276,1),(277,1),(361,1),(551,1)}
       328:{2,4}:{(278,1),(279,1),(374,1)}
       329:{3,5,7}:{(280,1),(281,1),(301,1),(375,1),(376,1),(516,1)}
       330:{2,5,6}:{(281,1),(283,1),(375,1),(378,1)}
       331:{2,4,5,7}:{(281,1),(282,1),(284,1),(304,1),(376,1),(378,1),(379,1),(383,1)}
       332:{3,4,7}:{(282,1),(305,1),(379,1),(392,1),(409,1)}
       333:{1,5,6,7}:{(283,1),(287,1),(306,1),(377,1),(381,1),(535,1)}
       334:{1,4,6}:{(283,1),(284,1),(288,1),(378,1),(382,1),(461,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(289,1),(308,1),(379,1),(382,1),(383,1)}
       336:{2,4,7}:{(285,1),(286,1),(309,1),(383,1),(384,1)}
       337:{1,3,7}:{(286,1),(310,1),(384,1),(385,1)}
       338:{2,4,6,7}:{(287,1),(288,1),(292,1),(311,1),(381,1),(386,1),(460,1)}
       339:{3,6}:{(288,1),(289,1)}
       340:{2,3,5,7}:{(289,1),(290,1),(294,1),(313,1),(383,1),(387,1),(388,1)}
       341:{1,3,4,7}:{(290,1),(291,1),(295,1),(314,1),(384,1),(388,1),(389,1),(392,1),(463,1),(467,1),(514,1)}
       342:{2,7}:{(291,1),(315,1)}
       343:{2,4,6}:{(293,1),(294,1),(297,1),(387,1),(390,1)}
       344:{1,4,5,7}:{(294,1),(295,1),(298,1),(316,1),(388,1),(390,1),(391,1),(514,1),(541,1)}
       345:{2,4,7}:{(295,1),(296,1),(317,1),(392,1)}
       346:{1,5,6}:{(297,1),(298,1),(390,1),(393,1),(541,1)}
       347:{2,5,7}:{(298,1),(299,1),(393,1),(394,1)}
       348:{3,6,7}:{(299,1),(392,1),(394,1),(466,1)}
       349:{3,6,7}:{(300,1),(302,1),(395,1),(409,1)}
       350:{3,5,6}:{(300,1),(301,1),(303,1),(395,1),(396,1)}
       351:{4,5}:{(301,1),(396,1)}
       352:{2,5,7}:{(302,1),(303,1),(306,1),(395,1)}
       353:{2,4,5,6}:{(303,1),(304,1),(307,1),(319,1),(378,1),(396,1),(398,1),(399,1),(403,1),(452,1),(470,1),(506,1)}
       354:{3,5}:{(304,1),(305,1)}
       355:{2,3,4,6}:{(305,1),(309,1),(321,1),(380,1),(400,1),(401,1),(407,1),(410,1),(457,1),(470,1),(478,1),(515,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(311,1),(322,1),(381,1),(398,1),(402,1),(476,1),(517,1),(535,1)}
       357:{1,3,5,6}:{(307,1),(308,1),(312,1),(323,1),(382,1),(399,1),(402,1),(403,1)}
       358:{2,5}:{(308,1),(309,1),(404,1)}
       359:{1,4,6}:{(309,1),(310,1),(325,1),(384,1),(404,1),(461,1)}
       360:{1,2,6}:{(310,1),(315,1),(326,1),(385,1),(480,1)}
       361:{3,5,7}:{(311,1),(312,1),(327,1),(386,1),(542,1)}
       362:{1,3,5}:{(313,1),(314,1),(316,1),(404,1),(406,1),(408,1),(516,1),(541,1)}
       363:{2,4,6}:{(314,1),(315,1),(328,1),(389,1),(406,1),(407,1),(464,1),(478,1)}
       364:{2,4,5}:{(316,1),(317,1),(406,1),(408,1),(478,1)}
       365:{3,6}:{(317,1),(392,1),(408,1)}
       366:{2,4,7}:{(318,1),(319,1),(322,1),(409,1)}
       367:{3,6}:{(319,1),(320,1),(409,1)}
       368:{2,3,5}:{(320,1),(321,1),(324,1),(410,1),(411,1),(519,1)}
       369:{1,3,4}:{(321,1),(325,1),(411,1),(412,1),(415,1)}
       370:{1,3,4,7}:{(322,1),(323,1),(327,1),(402,1),(409,1),(413,1),(469,1),(479,1),(517,1),(542,1)}
       371:{2,4,6}:{(323,1),(324,1),(403,1),(410,1),(413,1),(414,1),(480,1)}
       372:{1,4,5}:{(324,1),(325,1),(404,1),(411,1),(414,1)}
       373:{1,2,4}:{(325,1),(326,1),(328,1),(412,1),(415,1)}
       374:{2,3}:{(328,1),(415,1)}
       375:{3,5,6}:{(329,1),(330,1),(417,1),(420,1)}
       376:{4,5,7}:{(329,1),(351,1),(417,1),(433,1),(434,1),(496,1)}
       377:{2,5,6,7}:{(330,1),(333,1),(352,1),(416,1),(419,1),(522,1)}
       378:{2,4,6}:{(330,1),(331,1),(334,1),(417,1),(420,1),(424,1)}
       379:{3,5,7}:{(331,1),(332,1),(354,1),(420,1)}
       380:{2,3,4,7}:{(332,1),(336,1),(355,1),(421,1),(422,1),(429,1),(447,1),(494,1),(497,1)}
       381:{1,4,6,7}:{(333,1),(334,1),(338,1),(356,1),(419,1),(423,1),(490,1)}
       382:{1,3,6}:{(334,1),(335,1),(339,1),(420,1),(424,1)}
       383:{2,5,7}:{(335,1),(336,1),(358,1),(424,1),(425,1)}
       384:{1,4,7}:{(336,1),(337,1),(359,1),(425,1)}
       385:{1,2,7}:{(337,1),(342,1),(360,1),(504,1)}
       386:{3,6,7}:{(338,1),(339,1),(361,1)}
       387:{2,3,6}:{(339,1),(340,1),(343,1),(424,1),(427,1)}
       388:{1,3,5,7}:{(340,1),(341,1),(344,1),(362,1),(425,1),(427,1),(428,1),(431,1)}
       389:{2,4,7}:{(341,1),(342,1),(363,1),(428,1),(429,1)}
       390:{1,4,6}:{(343,1),(344,1),(346,1),(427,1),(430,1)}
       391:{2,4,5,7}:{(344,1),(345,1),(347,1),(364,1),(428,1),(430,1),(431,1),(433,1),(494,1),(496,1),(531,1)}
       392:{3,7}:{(345,1),(365,1)}
       393:{2,5,6}:{(346,1),(347,1),(430,1),(432,1),(531,1)}
       394:{3,5,7}:{(347,1),(348,1),(432,1),(433,1)}
       395:{3,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{4,6}:{(350,1),(351,1),(434,1)}
       397:{3,4,5}:{(351,1),(354,1),(435,1),(436,1),(446,1)}
       398:{2,4,5,7}:{(352,1),(353,1),(356,1),(366,1),(419,1),(434,1),(437,1),(441,1),(481,1),(497,1),(522,1)}
       399:{3,5,6}:{(353,1),(354,1),(367,1),(420,1),(435,1),(437,1)}
       400:{2,3,5}:{(354,1),(355,1),(358,1),(436,1),(439,1),(531,1)}
       401:{1,3,4,6}:{(355,1),(359,1),(369,1),(422,1),(439,1),(440,1),(444,1),(448,1),(487,1),(498,1),(503,1),(530,1),(533,1),(534,1),(546,1)}
       402:{1,3,5,7}:{(356,1),(357,1),(361,1),(370,1),(423,1),(437,1),(441,1)}
       403:{2,5,6}:{(357,1),(358,1),(371,1),(424,1),(441,1),(442,1)}
       404:{1,5}:{(358,1),(359,1)}
       405:{1,2,4,6}:{(359,1),(360,1),(363,1),(373,1),(426,1),(440,1),(443,1),(444,1),(491,1),(503,1),(530,1)}
       406:{2,5}:{(362,1),(363,1)}
       407:{2,3,6}:{(363,1),(365,1),(374,1),(429,1),(444,1),(445,1)}
       408:{3,5}:{(364,1),(365,1),(446,1)}
       409:{3,7}:{(366,1),(367,1)}
       410:{2,3,6}:{(367,1),(368,1),(371,1),(447,1),(448,1),(533,1)}
       411:{1,3,5}:{(368,1),(369,1),(372,1),(448,1),(449,1)}
       412:{2,4}:{(369,1),(449,1),(450,1)}
       413:{2,4,7}:{(370,1),(371,1),(441,1),(447,1),(451,1),(504,1)}
       414:{1,4,6}:{(371,1),(372,1),(442,1),(448,1),(451,1)}
       415:{1,3}:{(373,1),(374,1),(450,1)}
       416:{3,5,6,7}:{(375,1),(377,1),(395,1),(453,1),(456,1),(505,1)}
       417:{4,6}:{(375,1),(376,1)}
       418:{3,4,5,7}:{(376,1),(379,1),(397,1),(454,1),(455,1),(467,1),(469,1),(505,1),(516,1)}
       419:{2,4,6,7}:{(377,1),(378,1),(381,1),(398,1),(453,1),(456,1),(460,1)}
       420:{3,6}:{(378,1),(379,1)}
       421:{2,3,5,7}:{(379,1),(380,1),(383,1),(400,1),(455,1),(457,1),(458,1)}
       422:{1,3,4,7}:{(380,1),(384,1),(401,1),(458,1),(459,1),(463,1),(479,1),(514,1),(517,1),(539,1),(542,1)}
       423:{1,3,6,7}:{(381,1),(382,1),(386,1),(402,1),(456,1),(460,1)}
       424:{2,6}:{(382,1),(383,1),(461,1)}
       425:{1,5,7}:{(383,1),(384,1),(404,1),(461,1)}
       426:{1,2,4,7}:{(384,1),(385,1),(389,1),(405,1),(459,1),(462,1),(463,1),(514,1)}
       427:{1,3,6}:{(387,1),(388,1),(390,1),(461,1),(464,1),(466,1)}
       428:{2,5,7}:{(388,1),(389,1),(406,1),(464,1)}
       429:{2,3,7}:{(389,1),(392,1),(407,1),(463,1)}
       430:{2,4,6}:{(390,1),(391,1),(393,1),(464,1),(466,1),(468,1)}
       431:{3,5,7}:{(391,1),(392,1),(408,1),(466,1),(467,1),(516,1)}
       432:{3,5,6}:{(393,1),(394,1),(466,1),(468,1),(516,1)}
       433:{4,7}:{(394,1),(468,1)}
       434:{4,7}:{(395,1),(396,1)}
       435:{3,4,6}:{(396,1),(397,1),(399,1),(469,1),(470,1)}
       436:{2,4,5}:{(397,1),(400,1),(470,1),(471,1),(478,1)}
       437:{3,5,7}:{(398,1),(399,1),(409,1),(456,1),(469,1)}
       438:{2,3,5,6}:{(399,1),(400,1),(403,1),(410,1),(457,1),(470,1),(472,1),(473,1),(506,1)}
       439:{1,3,5}:{(400,1),(401,1),(404,1),(471,1),(474,1),(519,1),(541,1),(550,1)}
       440:{2,4,6}:{(401,1),(412,1),(459,1),(474,1),(475,1),(480,1),(511,1),(521,1)}
       441:{2,5,7}:{(402,1),(403,1),(413,1),(460,1),(476,1)}
       442:{1,5,6}:{(403,1),(404,1),(414,1),(461,1),(476,1)}
       443:{1,2,5}:{(404,1),(405,1),(406,1),(474,1),(477,1),(541,1)}
       444:{1,3,6}:{(405,1),(407,1),(415,1),(463,1),(475,1),(477,1)}
       445:{2,3,5}:{(406,1),(407,1),(408,1),(477,1),(478,1)}
       446:{3,4}:{(408,1),(478,1)}
       447:{2,3,7}:{(409,1),(410,1),(413,1),(479,1),(542,1)}
       448:{1,3,6}:{(410,1),(411,1),(414,1),(479,1),(480,1)}
       449:{2,5}:{(411,1),(412,1),(480,1)}
       450:{2,3}:{(412,1),(415,1)}
       451:{1,4,7}:{(413,1),(414,1),(476,1),(479,1)}
       452:{4,5,6}:{(417,1),(481,1),(482,1),(496,1)}
       453:{4,6,7}:{(416,1),(417,1),(434,1),(481,1)}
       454:{3,4,6}:{(417,1),(418,1),(420,1),(482,1),(484,1)}
       455:{2,4,5,7}:{(418,1),(421,1),(436,1),(484,1),(485,1),(494,1),(497,1),(522,1),(531,1)}
       456:{3,6,7}:{(419,1),(420,1),(437,1)}
       457:{2,3,6}:{(420,1),(421,1),(424,1),(484,1),(487,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(425,1),(439,1),(485,1),(487,1),(488,1),(526,1)}
       459:{2,4,7}:{(422,1),(440,1),(488,1),(489,1),(504,1)}
       460:{2,6,7}:{(423,1),(424,1),(441,1),(490,1)}
       461:{1,6}:{(424,1),(425,1)}
       462:{1,2,5,7}:{(425,1),(426,1),(428,1),(443,1),(488,1),(491,1),(492,1)}
       463:{1,3,7}:{(426,1),(429,1),(444,1),(489,1)}
       464:{2,6}:{(427,1),(428,1)}
       465:{2,3,5,7}:{(428,1),(429,1),(431,1),(445,1),(492,1),(493,1),(494,1),(531,1)}
       466:{3,6}:{(430,1),(431,1)}
       467:{3,4,7}:{(431,1),(433,1),(446,1),(494,1),(495,1)}
       468:{4,6}:{(432,1),(433,1),(496,1)}
       469:{3,4,7}:{(434,1),(435,1),(437,1),(497,1)}
       470:{2,4,6}:{(435,1),(436,1),(438,1),(497,1),(498,1)}
       471:{1,4,5}:{(436,1),(439,1),(498,1),(499,1),(503,1),(552,1)}
       472:{2,3,5,7}:{(437,1),(438,1),(441,1),(447,1),(486,1),(497,1),(500,1),(522,1)}
       473:{1,3,5,6}:{(438,1),(439,1),(442,1),(448,1),(487,1),(498,1),(500,1),(501,1),(523,1),(533,1),(544,1)}
       474:{2,5}:{(439,1),(440,1)}
       475:{2,3,6}:{(440,1),(444,1),(450,1),(489,1),(502,1),(533,1)}
       476:{1,5,7}:{(441,1),(442,1),(451,1),(490,1)}
       477:{1,3,5}:{(443,1),(444,1),(445,1),(502,1),(503,1)}
       478:{2,4}:{(445,1),(446,1),(503,1)}
       479:{1,3,7}:{(447,1),(448,1),(451,1),(504,1)}
       480:{2,6}:{(448,1),(449,1),(504,1)}
       481:{4,5,7}:{(452,1),(453,1),(505,1)}
       482:{3,5,6}:{(452,1),(454,1),(505,1),(506,1),(516,1)}
       483:{3,4,6,7}:{(453,1),(454,1),(456,1),(469,1),(505,1),(507,1)}
       484:{2,4,6}:{(454,1),(455,1),(457,1),(506,1),(508,1)}
       485:{1,4,5,7}:{(455,1),(458,1),(471,1),(508,1),(509,1),(514,1),(517,1),(535,1),(541,1)}
       486:{2,3,6,7}:{(456,1),(457,1),(460,1),(472,1),(507,1),(510,1)}
       487:{1,3,6}:{(457,1),(458,1),(461,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(458,1),(459,1),(474,1),(511,1)}
       489:{2,3,7}:{(459,1),(463,1),(475,1),(542,1)}
       490:{1,6,7}:{(460,1),(461,1),(476,1)}
       491:{1,2,6}:{(461,1),(462,1),(464,1),(511,1),(513,1)}
       492:{1,3,5,7}:{(462,1),(463,1),(465,1),(477,1),(512,1),(513,1),(514,1),(541,1)}
       493:{2,3,6}:{(464,1),(465,1),(466,1),(513,1),(515,1)}
       494:{2,4,7}:{(465,1),(467,1),(478,1),(514,1),(515,1)}
       495:{3,4,6}:{(466,1),(467,1),(468,1),(515,1),(516,1)}
       496:{4,5}:{(468,1),(516,1)}
       497:{2,4,7}:{(469,1),(470,1),(472,1),(517,1)}
       498:{1,4,6}:{(470,1),(471,1),(473,1),(517,1),(518,1),(549,1)}
       499:{2,4,5}:{(471,1),(474,1),(518,1),(519,1),(521,1)}
       500:{1,3,5,7}:{(472,1),(473,1),(476,1),(479,1),(510,1),(517,1),(520,1),(535,1),(542,1),(548,1)}
       501:{2,5,6}:{(473,1),(474,1),(480,1),(511,1),(518,1),(520,1)}
       502:{2,3,5}:{(474,1),(475,1),(477,1),(519,1),(521,1)}
       503:{1,4}:{(477,1),(478,1),(521,1)}
       504:{2,7}:{(479,1),(480,1)}
       505:{3,5,7}:{(481,1),(482,1),(483,1),(522,1)}
       506:{2,5,6}:{(482,1),(484,1),(522,1),(523,1),(531,1)}
       507:{2,4,6,7}:{(483,1),(484,1),(486,1),(497,1),(522,1),(524,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(523,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(488,1),(499,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       510:{1,3,6,7}:{(486,1),(487,1),(490,1),(500,1),(524,1),(527,1),(545,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(492,1),(502,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,3,6}:{(491,1),(492,1),(493,1),(528,1),(530,1)}
       514:{1,4,7}:{(492,1),(494,1),(503,1),(529,1),(530,1)}
       515:{2,4,6}:{(493,1),(494,1),(495,1),(530,1),(531,1)}
       516:{3,5}:{(495,1),(496,1),(531,1)}
       517:{1,4,7}:{(497,1),(498,1),(500,1),(532,1),(551,1)}
       518:{2,4,6}:{(498,1),(499,1),(501,1),(532,1),(533,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,5,7}:{(500,1),(501,1),(504,1),(527,1),(532,1)}
       521:{2,4}:{(502,1),(503,1),(534,1)}
       522:{2,5,7}:{(505,1),(506,1),(507,1),(535,1)}
       523:{1,5,6}:{(506,1),(508,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(507,1),(508,1),(510,1),(517,1),(535,1),(537,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(509,1),(519,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(510,1),(511,1),(520,1)}
       528:{2,3,6}:{(511,1),(512,1),(513,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(514,1),(521,1),(539,1),(540,1)}
       530:{1,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(516,1),(541,1)}
       532:{2,4,7}:{(517,1),(518,1),(520,1),(542,1)}
       533:{3,6}:{(518,1),(519,1),(542,1)}
       534:{3,4}:{(519,1),(521,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 690 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 691 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 692 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 693 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

 694 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 695 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(75,1),(82,1),(125,1),(134,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(51,1),(96,1),(105,1),(154,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(110,1),(161,1),(165,1)}
         3:{1,2,5,6,7}:{(8,1),(9,1),(44,1),(69,1),(85,1),(122,1),(134,1)}
         4:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(15,1),(32,1),(34,1),(38,1),(69,1),(77,1),(134,1),(136,1),(188,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(133,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(13,1),(14,1),(38,1),(42,1),(84,1),(125,1),(135,1),(140,1),(147,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(14,1),(15,1),(137,1),(188,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(16,1),(18,1),(27,1),(46,1),(59,1),(105,1),(114,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(47,1),(150,1),(161,1),(201,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(104,1),(161,1),(164,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(96,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,2,4,5,6}:{(6,1),(21,1),(24,1),(57,1),(62,1),(110,1),(116,1),(151,1),(161,1),(165,1),(171,1),(173,1),(203,1),(213,1),(240,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(24,1),(25,1),(26,1),(163,1),(175,1)}
        15:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(109,1),(165,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(133,1),(142,1)}
        17:{1,2,4,5,7}:{(9,1),(28,1),(30,1),(31,1),(69,1),(73,1),(85,1),(124,1),(135,1),(142,1),(179,1),(186,1)}
        18:{1,3,6,7}:{(9,1),(31,1),(32,1),(176,1),(188,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(28,1),(33,1),(34,1),(38,1),(69,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(76,1),(188,1),(190,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(122,1),(133,1),(194,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(15,1),(38,1),(39,1),(42,1),(81,1)}
        24:{1,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(137,1),(143,1),(188,1),(200,1),(230,1)}
        25:{1,3,4,7}:{(14,1),(40,1),(42,1),(181,1),(190,1)}
        26:{2,3,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(43,1),(140,1),(148,1)}
        27:{1,3,6,7}:{(15,1),(39,1),(43,1),(44,1),(137,1)}
        28:{1,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(59,1)}
        29:{1,3,4,6,7}:{(16,1),(18,1),(20,1),(46,1),(47,1),(49,1),(93,1)}
        30:{1,2,4,5,6}:{(17,1),(45,1),(48,1),(94,1),(99,1),(111,1),(150,1),(156,1),(161,1),(167,1),(201,1),(207,1),(209,1),(213,1),(244,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(48,1),(49,1),(50,1),(163,1),(211,1)}
        32:{2,3,6,7}:{(18,1),(47,1),(50,1),(51,1),(149,1),(201,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(45,1),(52,1),(57,1),(94,1),(104,1),(161,1),(213,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(47,1),(54,1),(55,1),(64,1),(101,1),(104,1),(108,1),(109,1),(149,1),(164,1),(212,1),(215,1),(235,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(216,1)}
        37:{1,3,4,5,7}:{(22,1),(25,1),(53,1),(56,1),(58,1),(61,1),(106,1),(112,1),(163,1),(170,1),(216,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(65,1),(110,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(203,1),(212,1)}
        41:{2,3,5,6}:{(24,1),(26,1),(57,1),(62,1),(63,1),(109,1),(115,1),(165,1),(171,1),(174,1)}
        42:{2,4,7}:{(25,1),(26,1),(62,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(63,1),(65,1),(66,1),(120,1)}
        44:{1,2,6,7}:{(27,1),(66,1),(165,1)}
        45:{1,4,5,6}:{(28,1),(33,1),(67,1),(82,1),(133,1),(223,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(34,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(29,1),(32,1),(69,1),(70,1),(73,1),(121,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(71,1),(72,1),(176,1),(182,1),(188,1),(229,1),(230,1)}
        49:{1,3,4,7}:{(31,1),(71,1),(73,1),(142,1),(190,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(69,1),(72,1),(73,1),(74,1),(179,1),(187,1)}
        51:{1,3,6,7}:{(32,1),(70,1),(74,1),(75,1),(176,1)}
        52:{3,5,6}:{(33,1),(34,1),(76,1),(188,1),(230,1)}
        53:{3,4,5,7}:{(34,1),(76,1),(78,1),(190,1),(230,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(78,1),(79,1),(230,1),(232,1),(242,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(70,1),(79,1),(80,1),(86,1),(91,1),(126,1),(131,1),(133,1),(137,1),(142,1),(176,1),(181,1),(188,1),(190,1),(193,1),(222,1),(231,1),(241,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(76,1),(81,1),(133,1),(137,1),(188,1)}
        57:{2,5,6}:{(36,1),(38,1),(81,1),(82,1),(232,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(81,1),(83,1),(84,1),(87,1),(140,1),(196,1),(232,1)}
        59:{1,5,7}:{(38,1),(39,1),(82,1)}
        60:{1,2,4,6,7}:{(39,1),(44,1),(80,1),(85,1),(86,1),(92,1),(138,1),(142,1),(186,1),(220,1),(241,1)}
        61:{1,3,4,5}:{(40,1),(87,1),(143,1),(199,1),(223,1),(230,1)}
        62:{2,4,6}:{(40,1),(41,1),(42,1),(87,1),(89,1)}
        63:{1,3,5,6}:{(41,1),(43,1),(82,1),(89,1),(90,1),(137,1),(143,1),(146,1)}
        64:{2,3,4,7}:{(42,1),(83,1),(88,1),(91,1),(148,1),(190,1),(196,1)}
        65:{1,4,7}:{(42,1),(43,1),(89,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(90,1),(92,1),(140,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(52,1),(93,1),(94,1),(236,1)}
        68:{1,3,4,5,7}:{(46,1),(49,1),(53,1),(93,1),(95,1),(98,1),(106,1),(152,1),(163,1),(206,1),(236,1)}
        69:{2,5,7}:{(46,1),(47,1),(94,1),(96,1)}
        70:{1,4,6,7}:{(47,1),(51,1),(96,1),(102,1),(150,1)}
        71:{1,3,4,6}:{(48,1),(49,1),(98,1),(99,1),(167,1),(212,1)}
        72:{2,3,5,6}:{(48,1),(50,1),(94,1),(99,1),(100,1),(149,1),(155,1),(201,1),(207,1),(210,1)}
        73:{2,4,7}:{(49,1),(50,1),(99,1),(102,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(96,1),(100,1),(102,1),(103,1),(160,1)}
        75:{1,2,6,7}:{(51,1),(103,1),(201,1)}
        76:{3,4,6}:{(52,1),(53,1),(104,1)}
        77:{2,3,5,6}:{(52,1),(54,1),(57,1),(94,1),(104,1),(105,1),(109,1),(149,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(104,1),(106,1),(164,1),(213,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(59,1),(96,1),(105,1),(106,1),(107,1),(163,1),(216,1),(236,1),(240,1),(244,1)}
        80:{2,4,6,7}:{(55,1),(107,1),(108,1),(119,1),(159,1),(161,1),(164,1),(165,1),(201,1),(215,1),(235,1)}
        81:{2,4,6}:{(56,1),(57,1),(58,1),(109,1),(110,1),(165,1)}
        82:{1,5,6}:{(57,1),(59,1),(110,1),(240,1)}
        83:{2,3,5,7}:{(58,1),(64,1),(109,1),(112,1),(115,1),(163,1)}
        84:{1,4,5,7}:{(58,1),(59,1),(65,1),(110,1),(112,1),(116,1),(217,1),(240,1)}
        85:{1,2,5,7}:{(59,1),(60,1),(107,1),(111,1),(114,1),(244,1)}
        86:{1,3,6,7}:{(60,1),(108,1),(114,1),(120,1),(166,1),(211,1),(234,1)}
        87:{2,4,5}:{(61,1),(62,1),(115,1),(116,1),(171,1),(219,1)}
        88:{2,3,4,6}:{(62,1),(64,1),(109,1),(115,1),(117,1),(174,1),(212,1),(215,1),(219,1)}
        89:{1,4,6}:{(62,1),(63,1),(65,1),(116,1)}
        90:{1,2,5,6}:{(63,1),(66,1),(118,1),(165,1),(171,1)}
        91:{1,3,4,7}:{(64,1),(65,1),(112,1),(117,1),(119,1),(120,1),(175,1),(217,1)}
        92:{1,2,4,7}:{(65,1),(66,1),(118,1),(119,1),(120,1)}
        93:{1,3,4,6}:{(67,1),(68,1),(76,1),(121,1),(133,1),(176,1),(188,1)}
        94:{2,5,6}:{(67,1),(69,1),(121,1),(122,1),(242,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(73,1),(121,1),(123,1),(124,1),(127,1),(179,1),(225,1),(242,1)}
        96:{1,5,7}:{(69,1),(70,1),(122,1)}
        97:{1,2,4,6,7}:{(70,1),(75,1),(80,1),(125,1),(126,1),(132,1),(147,1),(177,1),(181,1),(191,1),(231,1)}
        98:{1,3,4,5}:{(71,1),(127,1),(182,1),(194,1),(228,1),(230,1)}
        99:{2,4,6}:{(71,1),(72,1),(73,1),(127,1),(129,1)}
       100:{1,3,5,6}:{(72,1),(74,1),(122,1),(129,1),(130,1),(176,1),(182,1),(185,1)}
       101:{2,3,4,7}:{(73,1),(123,1),(128,1),(131,1),(187,1),(190,1),(225,1)}
       102:{1,4,7}:{(73,1),(74,1),(129,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(130,1),(132,1),(179,1)}
       104:{2,4,6}:{(76,1),(77,1),(78,1),(133,1)}
       105:{1,3,5,6}:{(77,1),(79,1),(82,1),(122,1),(133,1),(134,1),(137,1),(176,1),(188,1)}
       106:{1,4,5,7}:{(78,1),(79,1),(133,1),(135,1),(142,1),(181,1),(194,1),(223,1)}
       107:{2,5,7}:{(79,1),(80,1),(134,1),(232,1),(242,1)}
       108:{2,3,6,7}:{(80,1),(86,1),(126,1),(136,1),(148,1),(187,1),(188,1),(192,1),(221,1)}
       109:{2,3,6}:{(81,1),(83,1),(137,1),(188,1)}
       110:{1,4,6}:{(81,1),(82,1),(84,1),(137,1)}
       111:{1,2,5,6}:{(82,1),(85,1),(134,1),(138,1),(139,1),(220,1),(232,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(137,1),(140,1),(143,1)}
       113:{1,2,4,5,7}:{(84,1),(85,1),(92,1),(135,1),(138,1),(140,1),(141,1),(142,1),(144,1),(194,1),(196,1),(232,1)}
       114:{1,3,5,7}:{(85,1),(86,1),(136,1),(139,1),(142,1)}
       115:{2,3,5}:{(87,1),(88,1),(143,1),(230,1),(232,1)}
       116:{1,4,5}:{(87,1),(89,1),(143,1),(233,1)}
       117:{1,3,4,6}:{(88,1),(89,1),(91,1),(137,1),(143,1),(145,1),(146,1),(199,1),(200,1),(231,1),(233,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(92,1),(144,1),(145,1),(146,1)}
       119:{2,4,7}:{(91,1),(140,1),(145,1),(148,1)}
       120:{1,3,7}:{(92,1),(146,1),(148,1)}
       121:{2,4,6}:{(93,1),(94,1),(95,1),(149,1),(150,1),(201,1)}
       122:{1,5,6}:{(94,1),(96,1),(150,1),(244,1)}
       123:{2,3,5,7}:{(95,1),(101,1),(149,1),(152,1),(155,1),(163,1)}
       124:{1,4,5,7}:{(95,1),(96,1),(102,1),(150,1),(152,1),(156,1),(237,1),(244,1)}
       125:{1,2,5,7}:{(96,1),(97,1),(107,1),(151,1),(154,1),(240,1)}
       126:{1,3,6,7}:{(97,1),(108,1),(154,1),(160,1),(175,1),(202,1),(214,1)}
       127:{2,4,5}:{(98,1),(99,1),(155,1),(156,1),(207,1),(239,1)}
       128:{2,3,4,6}:{(99,1),(101,1),(149,1),(155,1),(157,1),(210,1),(212,1),(235,1),(239,1)}
       129:{1,4,6}:{(99,1),(100,1),(102,1),(156,1)}
       130:{1,2,5,6}:{(100,1),(103,1),(158,1),(201,1),(207,1)}
       131:{1,3,4,7}:{(101,1),(102,1),(152,1),(157,1),(159,1),(160,1),(211,1),(237,1)}
       132:{1,2,4,7}:{(102,1),(103,1),(158,1),(159,1),(160,1)}
       133:{1,4,6}:{(104,1),(105,1),(106,1),(161,1)}
       134:{2,5,6}:{(105,1),(107,1),(161,1),(165,1),(201,1)}
       135:{2,4,5,7}:{(106,1),(107,1),(161,1),(163,1),(164,1),(213,1)}
       136:{2,3,5,7}:{(107,1),(108,1),(114,1),(154,1),(162,1),(163,1),(164,1)}
       137:{1,3,6}:{(109,1),(110,1),(112,1),(165,1)}
       138:{1,2,4,6}:{(110,1),(111,1),(113,1),(161,1),(165,1),(166,1),(167,1),(215,1)}
       139:{1,3,5,6}:{(111,1),(114,1),(162,1),(166,1),(167,1),(216,1),(234,1),(244,1)}
       140:{2,5,7}:{(112,1),(119,1),(165,1),(171,1)}
       141:{1,3,5,7}:{(113,1),(120,1),(163,1),(166,1),(169,1),(170,1),(172,1),(216,1)}
       142:{1,4,7}:{(114,1),(164,1),(167,1)}
       143:{1,3,5}:{(115,1),(116,1),(117,1),(171,1),(240,1)}
       144:{1,2,4,5}:{(116,1),(118,1),(171,1),(172,1),(219,1)}
       145:{2,4,6}:{(117,1),(119,1),(165,1),(171,1),(174,1),(219,1)}
       146:{1,3,6}:{(118,1),(120,1),(172,1),(174,1)}
       147:{1,2,4,7}:{(119,1),(168,1),(173,1),(175,1),(217,1)}
       148:{2,3,7}:{(119,1),(120,1),(174,1),(175,1)}
       149:{2,3,6}:{(121,1),(123,1),(176,1),(188,1)}
       150:{1,4,6}:{(121,1),(122,1),(124,1),(176,1)}
       151:{1,2,5,6}:{(122,1),(125,1),(134,1),(177,1),(178,1),(191,1),(242,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(131,1),(176,1),(179,1),(182,1)}
       153:{1,2,4,5,7}:{(124,1),(125,1),(132,1),(135,1),(177,1),(179,1),(180,1),(181,1),(183,1),(223,1),(225,1),(242,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(136,1),(178,1),(181,1)}
       155:{2,3,5}:{(127,1),(128,1),(182,1),(230,1),(242,1)}
       156:{1,4,5}:{(127,1),(129,1),(182,1),(243,1)}
       157:{1,3,4,6}:{(128,1),(129,1),(131,1),(176,1),(182,1),(184,1),(185,1),(228,1),(229,1),(241,1),(243,1)}
       158:{1,2,4,6}:{(129,1),(130,1),(132,1),(183,1),(184,1),(185,1)}
       159:{2,4,7}:{(131,1),(179,1),(184,1),(187,1)}
       160:{1,3,7}:{(132,1),(185,1),(187,1)}
       161:{2,4,6}:{(133,1),(134,1),(135,1),(188,1)}
       162:{2,3,5,6}:{(134,1),(136,1),(139,1),(178,1),(188,1),(189,1),(192,1),(221,1),(230,1),(232,1),(242,1)}
       163:{3,5,7}:{(135,1),(188,1),(190,1),(230,1)}
       164:{2,4,7}:{(136,1),(142,1),(181,1),(189,1),(190,1)}
       165:{2,6}:{(137,1),(140,1)}
       166:{1,3,6}:{(138,1),(141,1),(188,1),(192,1)}
       167:{1,4,6}:{(139,1),(142,1),(189,1),(194,1)}
       168:{1,2,5,7}:{(140,1),(147,1),(191,1),(195,1),(197,1)}
       169:{2,3,5,7}:{(140,1),(141,1),(148,1),(192,1),(195,1),(196,1),(198,1),(232,1)}
       170:{1,3,4,7}:{(141,1),(142,1),(190,1),(193,1),(196,1),(199,1)}
       171:{2,5}:{(143,1),(145,1)}
       172:{1,3,5}:{(144,1),(146,1),(198,1),(199,1)}
       173:{1,2,4,6}:{(145,1),(147,1),(191,1),(197,1),(200,1),(231,1),(233,1)}
       174:{2,3,6}:{(145,1),(146,1),(148,1),(198,1),(200,1)}
       175:{1,3,7}:{(147,1),(148,1),(200,1)}
       176:{1,3,6}:{(149,1),(150,1),(152,1),(201,1)}
       177:{1,2,4,6}:{(150,1),(151,1),(153,1),(161,1),(201,1),(202,1),(203,1),(235,1)}
       178:{1,3,5,6}:{(151,1),(154,1),(162,1),(202,1),(203,1),(214,1),(236,1),(240,1)}
       179:{2,5,7}:{(152,1),(159,1),(201,1),(207,1)}
       180:{1,3,5,7}:{(153,1),(160,1),(163,1),(202,1),(205,1),(206,1),(208,1),(236,1)}
       181:{1,4,7}:{(154,1),(164,1),(203,1)}
       182:{1,3,5}:{(155,1),(156,1),(157,1),(207,1),(244,1)}
       183:{1,2,4,5}:{(156,1),(158,1),(207,1),(208,1),(239,1)}
       184:{2,4,6}:{(157,1),(159,1),(201,1),(207,1),(210,1),(239,1)}
       185:{1,3,6}:{(158,1),(160,1),(208,1),(210,1)}
       186:{1,2,4,7}:{(159,1),(204,1),(209,1),(211,1),(237,1)}
       187:{2,3,7}:{(159,1),(160,1),(210,1),(211,1)}
       188:{3,6}:{(161,1),(163,1)}
       189:{2,4,6}:{(162,1),(164,1),(167,1),(203,1),(212,1),(213,1)}
       190:{3,4,7}:{(163,1),(164,1),(212,1)}
       191:{1,2,6}:{(165,1),(168,1),(214,1)}
       192:{2,3,6}:{(165,1),(166,1),(169,1),(214,1),(215,1)}
       193:{1,3,4,6}:{(166,1),(167,1),(170,1),(212,1),(215,1),(216,1)}
       194:{1,4,5}:{(167,1),(213,1),(216,1),(244,1)}
       195:{1,3,5,7}:{(168,1),(169,1),(175,1),(214,1),(217,1),(218,1),(240,1)}
       196:{2,4,7}:{(169,1),(170,1),(215,1),(217,1),(219,1)}
       197:{1,2,5}:{(171,1),(173,1),(218,1),(240,1)}
       198:{2,3,5}:{(171,1),(172,1),(174,1),(218,1),(219,1)}
       199:{1,3,4}:{(172,1),(219,1)}
       200:{1,3,6}:{(173,1),(174,1),(175,1),(218,1)}
       201:{2,6}:{(176,1),(179,1)}
       202:{1,3,6}:{(177,1),(180,1),(188,1),(221,1)}
       203:{1,4,6}:{(178,1),(181,1),(189,1),(223,1)}
       204:{1,2,5,7}:{(179,1),(186,1),(220,1),(224,1),(226,1)}
       205:{2,3,5,7}:{(179,1),(180,1),(187,1),(221,1),(224,1),(225,1),(227,1),(242,1)}
       206:{1,3,4,7}:{(180,1),(181,1),(190,1),(222,1),(225,1),(228,1)}
       207:{2,5}:{(182,1),(184,1)}
       208:{1,3,5}:{(183,1),(185,1),(227,1),(228,1)}
       209:{1,2,4,6}:{(184,1),(186,1),(220,1),(226,1),(229,1),(241,1),(243,1)}
       210:{2,3,6}:{(184,1),(185,1),(187,1),(227,1),(229,1)}
       211:{1,3,7}:{(186,1),(187,1),(229,1)}
       212:{3,4,6}:{(188,1),(189,1),(190,1),(230,1)}
       213:{2,4,5}:{(189,1),(194,1),(223,1),(230,1),(232,1),(242,1)}
       214:{1,3,6}:{(191,1),(192,1),(195,1),(231,1)}
       215:{2,4,6}:{(192,1),(193,1),(196,1),(231,1),(232,1)}
       216:{1,3,5}:{(193,1),(194,1),(230,1),(232,1)}
       217:{1,4,7}:{(195,1),(196,1),(231,1),(233,1)}
       218:{1,3,5}:{(197,1),(198,1),(200,1),(233,1)}
       219:{2,4}:{(198,1),(199,1),(233,1)}
       220:{1,2,6}:{(201,1),(204,1),(234,1)}
       221:{2,3,6}:{(201,1),(202,1),(205,1),(234,1),(235,1)}
       222:{1,3,4,6}:{(202,1),(203,1),(206,1),(212,1),(235,1),(236,1)}
       223:{1,4,5}:{(203,1),(213,1),(236,1),(240,1)}
       224:{1,3,5,7}:{(204,1),(205,1),(211,1),(234,1),(237,1),(238,1),(244,1)}
       225:{2,4,7}:{(205,1),(206,1),(235,1),(237,1),(239,1)}
       226:{1,2,5}:{(207,1),(209,1),(238,1),(244,1)}
       227:{2,3,5}:{(207,1),(208,1),(210,1),(238,1),(239,1)}
       228:{1,3,4}:{(208,1),(239,1)}
       229:{1,3,6}:{(209,1),(210,1),(211,1),(238,1)}
       230:{3,5}:{(212,1),(213,1)}
       231:{1,4,6}:{(214,1),(215,1),(217,1),(240,1)}
       232:{2,5}:{(215,1),(216,1),(240,1)}
       233:{1,4}:{(218,1),(219,1)}
       234:{1,3,6}:{(220,1),(221,1),(224,1),(241,1)}
       235:{2,4,6}:{(221,1),(222,1),(225,1),(241,1),(242,1)}
       236:{1,3,5}:{(222,1),(223,1),(230,1),(242,1)}
       237:{1,4,7}:{(224,1),(225,1),(241,1),(243,1)}
       238:{1,3,5}:{(226,1),(227,1),(229,1),(243,1)}
       239:{2,4}:{(227,1),(228,1),(243,1)}
       240:{1,5}:{(231,1),(232,1)}
       241:{1,4,6}:{(234,1),(235,1),(237,1),(244,1)}
       242:{2,5}:{(235,1),(236,1),(244,1)}
       243:{1,4}:{(238,1),(239,1)}
       244:{1,5}:{(241,1),(242,1)}

 696 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 697 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 698 :   0:{1,2,6,7}:{(3,1),(5,1),(163,1),(246,1),(305,1),(314,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(83,1),(139,1),(159,1),(163,1),(223,1),(234,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(28,1),(31,1),(80,1),(83,1),(135,1),(147,1),(223,1),(241,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(119,1),(265,1),(342,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(52,1),(98,1),(119,1),(176,1),(265,1),(267,1),(342,1),(395,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(16,1),(120,1),(183,1),(203,1),(276,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(16,1),(17,1),(54,1),(117,1),(191,1),(274,1)}
         7:{1,3,5}:{(2,1),(15,1),(17,1),(18,1),(179,1),(283,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(251,1),(298,1),(314,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(88,1),(132,1),(165,1),(216,1),(221,1),(234,1),(251,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(151,1),(163,1),(221,1),(314,1),(323,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(33,1),(65,1),(69,1),(71,1),(83,1),(132,1),(151,1),(163,1),(221,1),(234,1),(244,1),(313,1),(323,1),(380,1),(382,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(27,1),(29,1),(81,1),(372,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(27,1),(29,1),(32,1),(138,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(28,1),(29,1),(307,1)}
        15:{1,3,4}:{(7,1),(31,1),(307,1),(322,1)}
        16:{1,2,4,7}:{(5,1),(6,1),(29,1),(32,1),(84,1),(160,1),(235,1),(312,1)}
        17:{1,3,6}:{(6,1),(7,1),(32,1),(33,1),(313,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(83,1),(147,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(35,1),(36,1),(174,1),(208,1),(292,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(36,1),(37,1),(40,1),(57,1),(90,1),(92,1),(121,1),(174,1),(208,1),(210,1),(292,1),(360,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(36,1),(39,1),(125,1),(175,1),(258,1),(276,1)}
        22:{1,2,4,6}:{(9,1),(37,1),(38,1),(39,1),(40,1),(94,1),(256,1),(274,1),(331,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(35,1),(41,1),(42,1),(44,1),(107,1),(356,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(36,1),(42,1),(44,1),(56,1),(97,1),(108,1),(120,1),(175,1),(276,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(37,1),(43,1),(44,1),(45,1),(286,1),(401,1)}
        26:{1,3,4,5}:{(15,1),(48,1),(49,1),(52,1),(103,1),(106,1),(196,1),(207,1),(283,1),(291,1)}
        27:{1,5,7}:{(12,1),(42,1),(50,1),(395,1)}
        28:{1,4,5}:{(14,1),(43,1),(52,1),(176,1),(395,1)}
        29:{1,4,7}:{(13,1),(14,1),(44,1)}
        30:{1,3,4,6}:{(14,1),(15,1),(17,1),(45,1),(52,1),(53,1),(54,1),(119,1)}
        31:{2,4}:{(15,1),(18,1),(55,1)}
        32:{1,3,7}:{(16,1),(17,1),(56,1),(347,1)}
        33:{2,3,6}:{(17,1),(18,1),(54,1),(56,1),(57,1),(191,1)}
        34:{1,3,5}:{(18,1),(55,1),(57,1),(58,1),(121,1),(124,1)}
        35:{1,4,6,7}:{(19,1),(23,1),(59,1),(61,1),(130,1),(329,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(59,1),(61,1),(64,1),(87,1),(164,1)}
        37:{1,4,6}:{(20,1),(25,1),(60,1),(61,1),(253,1)}
        38:{1,2,4,5}:{(22,1),(60,1),(63,1),(132,1),(136,1),(165,1),(220,1),(241,1),(253,1),(303,1),(308,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(61,1),(64,1),(133,1),(296,1),(312,1),(362,1)}
        40:{1,3,6}:{(22,1),(63,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(68,1),(72,1),(148,1),(151,1),(374,1),(381,1),(411,1)}
        42:{2,5,7}:{(23,1),(27,1),(59,1),(68,1),(69,1),(382,1)}
        43:{2,4,5}:{(25,1),(28,1),(60,1),(71,1),(83,1),(132,1),(382,1),(415,1)}
        44:{2,4,7}:{(24,1),(25,1),(29,1),(61,1),(72,1),(411,1)}
        45:{3,4,6}:{(25,1),(71,1),(72,1),(151,1),(313,1),(322,1)}
        46:{2,3,4}:{(31,1),(67,1),(74,1),(156,1),(237,1),(322,1)}
        47:{1,4,5,6}:{(28,1),(66,1),(76,1),(77,1),(81,1),(216,1),(231,1),(319,1),(327,1),(384,1)}
        48:{1,3,4,6}:{(26,1),(77,1),(78,1),(79,1),(141,1),(146,1),(231,1),(313,1)}
        49:{2,4,5}:{(26,1),(31,1),(67,1),(79,1),(80,1),(83,1),(147,1),(237,1),(318,1)}
        50:{1,5,6}:{(27,1),(69,1),(81,1)}
        51:{1,4,5,7}:{(27,1),(28,1),(29,1),(70,1),(81,1),(82,1),(222,1)}
        52:{1,3,5}:{(28,1),(30,1),(71,1),(83,1)}
        53:{1,3,4,7}:{(29,1),(30,1),(32,1),(72,1),(82,1),(84,1)}
        54:{2,4,6}:{(30,1),(31,1),(33,1),(83,1),(84,1),(85,1),(163,1)}
        55:{1,4}:{(31,1),(34,1)}
        56:{2,3,7}:{(32,1),(33,1),(84,1),(87,1),(235,1)}
        57:{1,3,6}:{(33,1),(34,1),(85,1),(87,1),(88,1)}
        58:{1,2,5}:{(34,1),(86,1),(88,1),(147,1)}
        59:{1,5,7}:{(35,1),(42,1),(90,1),(360,1)}
        60:{1,4,5}:{(37,1),(43,1),(92,1),(121,1),(360,1)}
        61:{1,4,7}:{(36,1),(37,1),(44,1)}
        62:{1,3,4,6}:{(37,1),(40,1),(45,1),(92,1),(93,1),(94,1),(95,1),(174,1)}
        63:{1,3,5}:{(38,1),(40,1),(95,1),(96,1),(283,1),(344,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(94,1),(96,1),(97,1),(98,1),(331,1)}
        66:{2,4,5,6}:{(43,1),(47,1),(89,1),(100,1),(101,1),(107,1),(115,1),(171,1),(186,1),(193,1),(274,1),(280,1),(351,1),(353,1),(400,1),(401,1)}
        67:{2,3,5}:{(46,1),(49,1),(102,1),(103,1),(283,1)}
        68:{3,5,7}:{(41,1),(42,1),(104,1),(105,1),(402,1)}
        69:{2,5,6}:{(42,1),(50,1),(90,1),(104,1),(107,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(51,1),(91,1),(105,1),(107,1),(108,1),(120,1),(175,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(108,1),(347,1)}
        73:{2,3,4,6}:{(45,1),(46,1),(54,1),(94,1),(102,1),(109,1),(110,1),(111,1),(180,1),(186,1),(197,1),(201,1),(254,1),(279,1),(286,1),(348,1),(356,1),(388,1)}
        74:{1,3,4}:{(46,1),(55,1),(103,1),(112,1),(124,1),(179,1),(262,1)}
        75:{1,5,6,7}:{(50,1),(99,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(100,1),(113,1),(114,1),(258,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(48,1),(52,1),(101,1),(114,1),(115,1),(119,1),(291,1),(359,1)}
        78:{1,3,4,7}:{(48,1),(114,1),(116,1),(185,1),(190,1),(273,1),(347,1)}
        79:{2,4,6}:{(48,1),(49,1),(102,1),(115,1),(116,1),(117,1),(191,1)}
        80:{1,4,5}:{(49,1),(55,1),(103,1),(117,1),(121,1),(262,1),(338,1)}
        81:{1,4,6}:{(50,1),(51,1),(107,1),(119,1),(265,1)}
        82:{1,3,5,7}:{(51,1),(52,1),(53,1),(108,1),(119,1),(120,1)}
        83:{2,5}:{(52,1),(54,1),(121,1)}
        84:{2,4,7}:{(53,1),(54,1),(56,1),(120,1),(122,1)}
        85:{1,4,6}:{(54,1),(55,1),(57,1),(121,1),(122,1),(208,1)}
        86:{1,2,4}:{(55,1),(58,1),(112,1),(124,1)}
        87:{1,3,7}:{(56,1),(57,1),(122,1),(125,1)}
        88:{1,2,6}:{(57,1),(58,1),(125,1),(191,1)}
        89:{1,4,5,6}:{(60,1),(66,1),(127,1),(128,1),(130,1),(159,1),(231,1),(319,1),(368,1),(410,1)}
        90:{1,5,6}:{(59,1),(69,1),(130,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(61,1),(70,1),(130,1),(131,1),(164,1)}
        92:{1,3,5}:{(60,1),(62,1),(71,1),(132,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(72,1),(131,1),(133,1)}
        94:{2,4,6}:{(62,1),(65,1),(132,1),(133,1),(134,1),(136,1),(221,1)}
        95:{1,3,4}:{(63,1),(136,1),(253,1),(322,1)}
        96:{2,3,5}:{(63,1),(65,1),(132,1),(136,1),(137,1),(303,1),(309,1)}
        97:{2,3,7}:{(64,1),(65,1),(133,1),(138,1),(362,1)}
        98:{1,3,6}:{(65,1),(134,1),(137,1),(138,1),(139,1)}
        99:{2,5,6,7}:{(69,1),(75,1),(126,1),(140,1),(142,1),(310,1),(373,1),(414,1)}
       100:{2,4,5,7}:{(66,1),(76,1),(127,1),(142,1),(143,1),(158,1),(215,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       101:{3,5,6}:{(66,1),(71,1),(141,1),(143,1),(151,1),(313,1),(376,1),(413,1)}
       102:{2,3,6}:{(67,1),(79,1),(145,1),(146,1),(313,1)}
       103:{1,3,5}:{(67,1),(74,1),(80,1),(146,1),(147,1)}
       104:{3,5,6}:{(68,1),(69,1),(148,1),(151,1)}
       105:{4,5,7}:{(68,1),(148,1),(411,1),(415,1)}
       106:{3,4,5}:{(71,1),(141,1),(150,1),(322,1),(376,1),(415,1)}
       107:{2,4,6}:{(69,1),(70,1),(81,1),(130,1),(148,1),(151,1),(163,1),(221,1)}
       108:{3,5,7}:{(70,1),(71,1),(72,1),(151,1)}
       109:{2,3,5}:{(71,1),(73,1),(83,1),(132,1),(150,1),(153,1),(318,1),(376,1),(382,1),(407,1)}
       110:{2,3,4,7}:{(72,1),(73,1),(84,1),(133,1),(145,1),(152,1),(154,1),(230,1),(245,1),(294,1),(317,1),(324,1),(375,1),(406,1)}
       111:{1,3,4,6}:{(73,1),(74,1),(85,1),(134,1),(146,1),(153,1),(154,1),(155,1),(167,1),(225,1),(226,1),(231,1),(242,1),(253,1),(295,1),(302,1),(307,1),(313,1),(322,1),(329,1),(372,1),(381,1),(405,1)}
       112:{2,4}:{(74,1),(147,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(81,1),(142,1),(157,1),(298,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(78,1),(143,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(79,1),(83,1),(158,1),(159,1),(163,1),(318,1),(379,1)}
       116:{2,4,7}:{(78,1),(79,1),(145,1),(158,1),(160,1),(235,1)}
       117:{1,4,6}:{(79,1),(80,1),(146,1),(159,1),(160,1)}
       118:{1,2,4,5}:{(80,1),(86,1),(147,1),(161,1),(162,1),(165,1),(237,1),(241,1),(253,1),(318,1),(327,1)}
       119:{1,3,6}:{(81,1),(82,1),(151,1),(163,1)}
       120:{2,5,7}:{(82,1),(83,1),(84,1),(163,1),(164,1)}
       121:{1,5}:{(83,1),(85,1)}
       122:{1,4,7}:{(84,1),(85,1),(87,1),(164,1)}
       123:{1,2,4,6}:{(85,1),(86,1),(88,1),(155,1),(165,1),(166,1),(167,1),(251,1),(253,1),(308,1),(329,1),(361,1),(405,1)}
       124:{1,3}:{(86,1),(156,1)}
       125:{1,2,7}:{(87,1),(88,1),(235,1)}
       126:{1,5,6,7}:{(90,1),(99,1),(169,1),(345,1),(420,1)}
       127:{1,4,5,7}:{(89,1),(100,1),(169,1),(170,1),(203,1),(273,1),(345,1)}
       128:{1,3,5,6}:{(89,1),(92,1),(101,1),(168,1),(170,1),(171,1),(174,1),(390,1),(419,1)}
       129:{1,3,4,5}:{(92,1),(95,1),(106,1),(168,1),(173,1),(196,1),(263,1),(283,1),(341,1),(390,1)}
       130:{1,4,6}:{(90,1),(91,1),(107,1),(174,1),(208,1)}
       131:{1,3,5,7}:{(91,1),(92,1),(93,1),(108,1),(174,1),(175,1)}
       132:{2,5}:{(92,1),(94,1),(176,1)}
       133:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(177,1)}
       134:{1,4,6}:{(94,1),(98,1),(176,1),(177,1),(181,1),(265,1)}
       135:{1,2,4}:{(112,1),(172,1),(179,1),(262,1)}
       136:{2,4}:{(95,1),(96,1),(181,1)}
       137:{1,3,5}:{(96,1),(98,1),(176,1),(181,1),(182,1),(270,1)}
       138:{1,3,7}:{(97,1),(98,1),(177,1),(183,1)}
       139:{1,2,6}:{(98,1),(182,1),(183,1),(331,1)}
       140:{3,5,6,7}:{(99,1),(104,1),(184,1),(187,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(106,1),(185,1),(186,1),(401,1)}
       142:{2,4,6,7}:{(99,1),(100,1),(107,1),(113,1),(169,1),(184,1),(187,1),(202,1),(257,1),(400,1)}
       143:{3,5,7}:{(100,1),(101,1),(185,1),(187,1),(347,1)}
       144:{2,3,5,6}:{(101,1),(102,1),(109,1),(115,1),(171,1),(186,1),(188,1),(189,1),(197,1),(254,1),(280,1)}
       145:{2,3,7}:{(102,1),(116,1),(190,1),(347,1)}
       146:{1,3,6}:{(102,1),(103,1),(117,1),(190,1),(191,1)}
       147:{2,5}:{(103,1),(112,1),(191,1)}
       148:{4,6}:{(104,1),(105,1)}
       149:{3,4,5,7}:{(105,1),(106,1),(108,1),(185,1),(194,1),(195,1),(271,1),(355,1),(398,1),(402,1),(421,1)}
       150:{2,4,5}:{(106,1),(109,1),(186,1),(196,1),(286,1)}
       151:{3,6}:{(107,1),(108,1)}
       152:{2,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(175,1),(195,1),(197,1),(198,1),(352,1),(398,1),(418,1)}
       153:{1,3,5}:{(109,1),(111,1),(121,1),(176,1),(196,1),(199,1),(283,1),(338,1),(360,1),(395,1),(402,1),(417,1)}
       154:{1,3,4,7}:{(110,1),(111,1),(122,1),(177,1),(190,1),(198,1),(200,1),(211,1),(268,1),(273,1),(293,1),(330,1),(337,1),(343,1),(347,1),(355,1),(416,1)}
       155:{2,4,6}:{(111,1),(112,1),(191,1),(199,1),(200,1),(201,1),(269,1),(284,1),(286,1),(331,1)}
       156:{2,3}:{(112,1),(124,1),(179,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(119,1),(187,1),(202,1),(359,1)}
       158:{2,5,7}:{(114,1),(115,1),(116,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(117,1),(121,1),(203,1),(208,1),(338,1),(393,1)}
       160:{1,4,7}:{(116,1),(117,1),(190,1),(203,1)}
       161:{1,2,4,6}:{(117,1),(118,1),(191,1),(204,1),(205,1),(206,1),(274,1),(279,1),(289,1)}
       162:{1,3,5}:{(118,1),(124,1),(192,1),(206,1),(207,1),(283,1)}
       163:{2,6}:{(119,1),(120,1),(208,1)}
       164:{1,5,7}:{(120,1),(121,1),(122,1),(208,1)}
       165:{1,2,5}:{(121,1),(123,1),(199,1),(210,1),(360,1),(417,1)}
       166:{1,2,4,7}:{(122,1),(123,1),(125,1),(200,1),(209,1),(211,1),(293,1),(385,1),(416,1)}
       167:{1,3,6}:{(123,1),(124,1),(201,1),(210,1),(211,1),(344,1)}
       168:{1,3,4,6}:{(128,1),(129,1),(141,1),(212,1),(213,1),(231,1),(295,1),(313,1)}
       169:{1,4,6,7}:{(126,1),(127,1),(130,1),(142,1),(214,1),(246,1),(410,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(143,1),(212,1),(214,1),(215,1)}
       171:{2,5,6}:{(128,1),(132,1),(213,1),(215,1),(216,1),(221,1),(407,1),(424,1)}
       172:{1,2,5}:{(135,1),(147,1),(217,1),(218,1)}
       173:{2,4,5}:{(129,1),(132,1),(136,1),(213,1),(219,1),(220,1),(303,1),(371,1),(407,1)}
       174:{1,3,6}:{(130,1),(131,1),(151,1),(221,1)}
       175:{2,5,7}:{(131,1),(132,1),(133,1),(221,1),(222,1)}
       176:{1,5}:{(132,1),(134,1)}
       177:{1,4,7}:{(133,1),(134,1),(138,1),(222,1)}
       178:{1,2,4,6}:{(134,1),(135,1),(139,1),(155,1),(217,1),(223,1),(224,1),(225,1),(227,1),(302,1),(305,1),(307,1),(372,1)}
       179:{1,3}:{(135,1),(156,1)}
       180:{2,3,4}:{(136,1),(219,1),(226,1),(309,1),(322,1),(371,1)}
       181:{1,4}:{(136,1),(137,1)}
       182:{1,2,5}:{(137,1),(139,1),(227,1),(303,1)}
       183:{1,2,7}:{(138,1),(139,1),(362,1)}
       184:{4,6,7}:{(140,1),(148,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(143,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(150,1),(230,1),(231,1)}
       187:{3,6,7}:{(142,1),(143,1),(151,1),(413,1)}
       188:{2,3,5,7}:{(143,1),(144,1),(145,1),(158,1),(215,1),(230,1),(232,1),(233,1),(294,1),(310,1)}
       189:{1,3,5,6}:{(144,1),(146,1),(153,1),(159,1),(216,1),(231,1),(233,1),(234,1),(242,1),(295,1),(313,1),(319,1),(380,1)}
       190:{1,3,7}:{(145,1),(146,1),(160,1),(235,1)}
       191:{2,6}:{(146,1),(147,1),(235,1)}
       192:{2,3,5}:{(147,1),(156,1),(162,1),(218,1),(236,1),(237,1),(318,1)}
       193:{4,5,6}:{(148,1),(228,1),(238,1),(415,1),(425,1)}
       194:{3,4,6}:{(148,1),(149,1),(151,1),(238,1),(239,1),(413,1),(425,1)}
       195:{2,4,5,7}:{(149,1),(150,1),(152,1),(230,1),(239,1),(240,1),(310,1),(324,1),(382,1)}
       196:{1,4,5}:{(150,1),(153,1),(231,1),(241,1),(253,1),(307,1),(415,1)}
       197:{2,3,6}:{(151,1),(152,1),(163,1),(221,1),(239,1),(242,1),(379,1),(413,1),(424,1)}
       198:{1,3,5,7}:{(152,1),(153,1),(154,1),(164,1),(222,1),(240,1),(242,1),(243,1),(321,1),(369,1),(423,1)}
       199:{2,5}:{(153,1),(155,1)}
       200:{2,4,7}:{(154,1),(155,1),(235,1),(243,1),(245,1),(362,1)}
       201:{2,3,6}:{(155,1),(156,1),(167,1),(225,1),(244,1),(245,1),(309,1),(313,1)}
       202:{2,6,7}:{(157,1),(158,1),(163,1),(246,1),(379,1)}
       203:{1,5,7}:{(158,1),(159,1),(160,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(161,1),(165,1),(234,1),(247,1),(248,1),(251,1),(318,1),(361,1),(379,1)}
       205:{1,2,4,7}:{(160,1),(161,1),(235,1),(247,1),(249,1),(312,1),(317,1),(326,1)}
       206:{1,3,6}:{(161,1),(162,1),(236,1),(249,1),(313,1)}
       207:{1,3,4}:{(162,1),(237,1),(253,1),(322,1)}
       208:{1,6}:{(163,1),(164,1)}
       209:{1,2,5,7}:{(164,1),(165,1),(166,1),(243,1),(251,1),(252,1),(423,1)}
       210:{1,3,5}:{(165,1),(167,1),(244,1),(253,1)}
       211:{1,3,7}:{(166,1),(167,1),(245,1)}
       212:{1,3,4,7}:{(168,1),(170,1),(185,1),(255,1),(273,1),(330,1),(347,1)}
       213:{2,4,6}:{(168,1),(171,1),(173,1),(254,1),(255,1),(256,1),(331,1)}
       214:{1,3,6,7}:{(169,1),(170,1),(174,1),(187,1),(257,1),(419,1)}
       215:{2,5,7}:{(170,1),(171,1),(255,1),(257,1),(258,1)}
       216:{1,5,6}:{(171,1),(176,1),(256,1),(258,1),(265,1),(417,1),(426,1)}
       217:{1,2,6}:{(172,1),(191,1),(260,1),(261,1)}
       218:{1,3,5}:{(172,1),(179,1),(192,1),(261,1),(262,1),(338,1)}
       219:{2,3,5}:{(173,1),(180,1),(254,1),(263,1),(283,1)}
       220:{1,4,5}:{(173,1),(176,1),(181,1),(256,1),(263,1),(394,1),(417,1)}
       221:{2,6}:{(174,1),(175,1),(265,1)}
       222:{1,5,7}:{(175,1),(176,1),(177,1),(265,1)}
       223:{1,2,5}:{(176,1),(178,1),(199,1),(267,1),(338,1),(395,1)}
       224:{1,2,4,7}:{(177,1),(178,1),(183,1),(200,1),(260,1),(266,1),(268,1),(337,1),(343,1)}
       225:{1,3,6}:{(178,1),(179,1),(201,1),(267,1),(268,1),(270,1)}
       226:{1,3,4}:{(180,1),(181,1),(263,1),(269,1),(270,1),(344,1),(394,1)}
       227:{1,2,4}:{(181,1),(182,1),(269,1),(270,1)}
       228:{4,5,7}:{(184,1),(193,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(187,1),(194,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(188,1),(273,1)}
       231:{1,4,6}:{(186,1),(189,1),(196,1),(273,1),(274,1),(401,1)}
       232:{2,3,6,7}:{(187,1),(188,1),(197,1),(202,1),(257,1),(272,1),(275,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(190,1),(203,1),(258,1),(273,1),(275,1),(276,1),(330,1),(345,1),(347,1),(396,1)}
       234:{2,5,6}:{(189,1),(191,1),(199,1),(274,1),(276,1),(284,1),(331,1)}
       235:{2,7}:{(190,1),(191,1)}
       236:{2,3,6}:{(191,1),(192,1),(206,1),(261,1),(278,1),(279,1)}
       237:{2,4}:{(192,1),(207,1),(262,1)}
       238:{3,5,6}:{(193,1),(194,1),(271,1),(280,1),(402,1)}
       239:{2,4,6}:{(194,1),(195,1),(197,1),(280,1),(281,1)}
       240:{1,4,5,7}:{(195,1),(196,1),(198,1),(273,1),(281,1),(282,1),(293,1),(343,1),(345,1),(360,1),(395,1)}
       241:{2,4,5}:{(196,1),(199,1),(274,1),(283,1),(286,1)}
       242:{1,3,6}:{(197,1),(198,1),(208,1),(265,1),(281,1),(284,1),(354,1),(393,1),(426,1)}
       243:{2,5,7}:{(198,1),(199,1),(200,1),(284,1)}
       244:{2,3,5}:{(199,1),(201,1),(210,1),(267,1),(283,1),(286,1)}
       245:{2,3,7}:{(200,1),(201,1),(211,1),(268,1),(347,1)}
       246:{1,6,7}:{(202,1),(203,1),(208,1),(393,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(205,1),(276,1),(287,1),(288,1),(352,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(206,1),(210,1),(277,1),(288,1),(289,1),(291,1),(292,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,3,7}:{(205,1),(206,1),(278,1),(347,1)}
       250:{1,3,4,6}:{(206,1),(207,1),(279,1),(289,1),(290,1),(291,1),(348,1),(359,1)}
       251:{1,2,6}:{(208,1),(209,1),(284,1),(292,1),(426,1)}
       252:{1,3,5,7}:{(209,1),(210,1),(211,1),(285,1),(292,1),(293,1),(360,1)}
       253:{1,4}:{(210,1),(286,1)}
       254:{2,3,6}:{(213,1),(219,1),(294,1),(295,1),(313,1)}
       255:{2,4,7}:{(212,1),(213,1),(215,1),(294,1),(296,1),(362,1)}
       256:{1,4,6}:{(213,1),(216,1),(220,1),(295,1),(296,1)}
       257:{2,6,7}:{(214,1),(215,1),(221,1),(298,1),(424,1)}
       258:{1,5,7}:{(215,1),(216,1),(296,1),(298,1)}
       259:{1,2,5,6}:{(216,1),(217,1),(223,1),(234,1),(297,1),(299,1),(300,1),(305,1),(407,1),(424,1)}
       260:{1,2,7}:{(217,1),(235,1),(301,1)}
       261:{1,3,6}:{(217,1),(218,1),(236,1),(301,1),(302,1)}
       262:{1,4}:{(218,1),(237,1)}
       263:{1,3,5}:{(219,1),(220,1),(226,1),(295,1),(303,1)}
       264:{1,2,4,5}:{(220,1),(223,1),(227,1),(241,1),(297,1),(303,1),(304,1),(307,1),(368,1),(371,1),(407,1)}
       265:{1,6}:{(221,1),(222,1)}
       266:{1,2,5,7}:{(222,1),(223,1),(224,1),(243,1),(305,1),(306,1),(369,1)}
       267:{1,3,5}:{(223,1),(225,1),(244,1),(307,1)}
       268:{1,3,7}:{(224,1),(225,1),(245,1)}
       269:{2,4}:{(226,1),(303,1),(309,1)}
       270:{1,3}:{(227,1),(309,1)}
       271:{3,5,7}:{(228,1),(229,1),(238,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(232,1),(239,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(233,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(234,1),(241,1),(312,1),(313,1)}
       275:{1,3,6,7}:{(232,1),(233,1),(242,1),(246,1),(298,1),(311,1),(314,1),(374,1)}
       276:{2,5,7}:{(233,1),(234,1),(235,1),(312,1),(314,1),(362,1)}
       277:{2,3,5,6}:{(234,1),(236,1),(244,1),(248,1),(300,1),(313,1),(315,1),(316,1),(318,1),(323,1),(363,1),(376,1),(379,1),(380,1),(382,1),(407,1),(413,1),(414,1),(424,1)}
       278:{2,3,7}:{(235,1),(236,1),(249,1),(301,1),(317,1)}
       279:{2,4,6}:{(236,1),(237,1),(250,1),(302,1),(317,1),(318,1),(379,1)}
       280:{2,5,6}:{(238,1),(239,1),(310,1),(319,1),(382,1)}
       281:{1,4,6}:{(239,1),(240,1),(242,1),(319,1),(320,1)}
       282:{2,4,5,7}:{(240,1),(241,1),(243,1),(312,1),(320,1),(321,1),(324,1),(373,1),(382,1),(411,1),(415,1)}
       283:{3,5}:{(241,1),(313,1),(322,1)}
       284:{2,6}:{(242,1),(243,1)}
       285:{2,3,5,7}:{(243,1),(244,1),(245,1),(252,1),(306,1),(321,1),(323,1),(324,1),(382,1)}
       286:{2,4}:{(244,1),(253,1),(307,1),(322,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(251,1),(314,1),(325,1),(379,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(249,1),(315,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(253,1),(316,1),(326,1),(327,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(317,1),(326,1),(328,1),(375,1)}
       291:{1,3,5}:{(250,1),(318,1),(327,1),(376,1)}
       292:{1,3,6}:{(251,1),(252,1),(323,1),(329,1)}
       293:{1,4,7}:{(252,1),(253,1),(324,1),(329,1)}
       294:{2,3,7}:{(254,1),(255,1),(330,1),(347,1)}
       295:{1,3,6}:{(254,1),(256,1),(263,1),(330,1),(331,1)}
       296:{1,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       297:{1,2,4,6}:{(256,1),(259,1),(264,1),(274,1),(331,1),(332,1),(333,1),(336,1),(388,1)}
       298:{1,6,7}:{(257,1),(258,1),(265,1),(426,1)}
       299:{1,2,5,7}:{(258,1),(259,1),(260,1),(276,1),(332,1),(334,1),(335,1),(418,1)}
       300:{1,3,5,6}:{(259,1),(261,1),(267,1),(277,1),(333,1),(335,1),(336,1),(338,1),(342,1),(390,1),(393,1),(395,1),(419,1),(420,1)}
       301:{1,3,7}:{(260,1),(261,1),(278,1),(337,1)}
       302:{1,4,6}:{(261,1),(262,1),(279,1),(337,1),(338,1),(393,1)}
       303:{2,5}:{(263,1),(269,1),(331,1)}
       304:{1,3,5}:{(264,1),(270,1),(283,1),(333,1),(340,1),(341,1)}
       305:{1,2,6}:{(265,1),(266,1),(284,1),(342,1),(393,1)}
       306:{1,3,5,7}:{(266,1),(267,1),(268,1),(285,1),(342,1),(343,1),(395,1)}
       307:{1,4}:{(267,1),(286,1)}
       308:{1,2,4}:{(269,1),(339,1),(344,1),(394,1)}
       309:{2,3}:{(269,1),(270,1),(344,1)}
       310:{2,5,7}:{(271,1),(272,1),(280,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(275,1),(281,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(276,1),(347,1)}
       313:{3,6}:{(274,1),(283,1),(347,1)}
       314:{2,6,7}:{(275,1),(276,1),(284,1)}
       315:{2,3,5,7}:{(276,1),(277,1),(278,1),(288,1),(335,1),(347,1),(349,1),(350,1),(352,1),(387,1),(396,1),(398,1),(399,1),(418,1)}
       316:{2,4,6}:{(277,1),(286,1),(289,1),(336,1),(348,1),(350,1),(351,1),(401,1)}
       317:{2,4,7}:{(278,1),(279,1),(290,1),(337,1),(352,1)}
       318:{2,5}:{(279,1),(291,1),(338,1)}
       319:{1,5,6}:{(280,1),(281,1),(345,1),(353,1),(360,1),(395,1)}
       320:{2,4,6}:{(281,1),(282,1),(284,1),(353,1),(354,1),(401,1)}
       321:{3,5,7}:{(282,1),(283,1),(347,1),(354,1),(355,1),(402,1)}
       322:{3,4}:{(283,1),(286,1)}
       323:{2,3,6}:{(284,1),(285,1),(292,1),(342,1),(354,1),(356,1)}
       324:{2,4,7}:{(285,1),(286,1),(293,1),(343,1),(355,1),(356,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(292,1),(349,1),(357,1),(359,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(350,1)}
       327:{1,4,5}:{(289,1),(291,1),(351,1),(360,1),(417,1)}
       328:{1,3,5,7}:{(290,1),(291,1),(352,1),(358,1),(359,1),(398,1)}
       329:{1,4,6}:{(292,1),(293,1),(356,1),(360,1)}
       330:{1,3,7}:{(294,1),(295,1),(296,1),(362,1)}
       331:{2,6}:{(295,1),(303,1),(362,1)}
       332:{1,2,4,7}:{(296,1),(297,1),(299,1),(312,1),(362,1),(364,1),(367,1),(406,1)}
       333:{1,3,6}:{(297,1),(304,1),(313,1),(363,1),(364,1)}
       334:{1,2,6,7}:{(298,1),(299,1),(305,1),(314,1),(366,1),(424,1)}
       335:{1,3,5,7}:{(299,1),(300,1),(301,1),(315,1),(364,1),(366,1),(367,1),(369,1),(409,1)}
       336:{1,4,6}:{(300,1),(307,1),(316,1),(367,1),(368,1)}
       337:{1,4,7}:{(301,1),(302,1),(317,1),(369,1)}
       338:{1,5}:{(302,1),(318,1)}
       339:{1,2,5}:{(303,1),(308,1),(361,1),(370,1)}
       340:{2,3,5}:{(303,1),(304,1),(309,1),(363,1),(370,1),(371,1),(407,1)}
       341:{1,3,4}:{(304,1),(307,1),(322,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(323,1),(372,1)}
       343:{1,4,7}:{(306,1),(307,1),(324,1),(372,1)}
       344:{1,3}:{(308,1),(309,1)}
       345:{1,5,7}:{(310,1),(311,1),(319,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(314,1),(320,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(316,1),(322,1),(375,1),(376,1),(413,1)}
       349:{2,3,6,7}:{(314,1),(315,1),(323,1),(325,1),(366,1),(374,1),(377,1),(379,1),(413,1),(424,1)}
       350:{2,4,7}:{(315,1),(316,1),(326,1),(367,1),(375,1),(411,1)}
       351:{2,4,5}:{(316,1),(318,1),(327,1),(368,1),(376,1),(382,1),(407,1),(415,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{2,5,6}:{(319,1),(320,1),(373,1),(380,1),(382,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(381,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(381,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(329,1),(377,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(328,1),(378,1),(383,1),(384,1),(423,1)}
       359:{1,3,6}:{(328,1),(379,1),(384,1),(413,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(331,1),(339,1),(385,1),(386,1)}
       362:{2,7}:{(330,1),(331,1)}
       363:{2,3,6}:{(331,1),(333,1),(340,1),(386,1),(387,1),(388,1)}
       364:{1,3,7}:{(332,1),(333,1),(347,1),(387,1)}
       365:{1,3,4,6}:{(333,1),(336,1),(341,1),(348,1),(388,1),(389,1),(390,1),(419,1)}
       366:{1,3,6,7}:{(334,1),(335,1),(342,1),(349,1),(391,1),(393,1),(419,1)}
       367:{1,4,7}:{(335,1),(336,1),(350,1)}
       368:{1,4,5}:{(336,1),(338,1),(351,1),(390,1),(395,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(386,1),(394,1),(417,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(353,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(354,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(350,1),(398,1)}
       376:{3,5}:{(348,1),(351,1)}
       377:{2,4,6,7}:{(349,1),(350,1),(356,1),(357,1),(391,1),(397,1),(399,1),(400,1)}
       378:{2,4,5,7}:{(350,1),(351,1),(352,1),(358,1),(392,1),(398,1),(399,1),(400,1),(418,1),(421,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,5,6}:{(353,1),(354,1),(396,1),(401,1),(402,1)}
       381:{3,4,6}:{(354,1),(355,1),(356,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(402,1)}
       383:{1,5,7}:{(357,1),(360,1),(399,1),(403,1)}
       384:{1,4,6}:{(358,1),(359,1),(400,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(362,1),(404,1)}
       386:{1,3,6}:{(361,1),(363,1),(370,1),(404,1),(405,1)}
       387:{2,3,7}:{(362,1),(363,1),(364,1),(404,1),(406,1)}
       388:{2,4,6}:{(363,1),(365,1),(371,1),(405,1),(406,1),(407,1),(424,1)}
       389:{1,3,4,7}:{(364,1),(365,1),(367,1),(375,1),(406,1),(408,1)}
       390:{1,3,5}:{(365,1),(368,1),(376,1),(407,1)}
       391:{1,4,6,7}:{(366,1),(367,1),(372,1),(377,1),(409,1),(410,1)}
       392:{1,4,5,7}:{(367,1),(368,1),(369,1),(378,1),(408,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(380,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{2,5,7}:{(377,1),(382,1),(383,1),(409,1),(412,1),(414,1)}
       400:{2,4,6}:{(378,1),(379,1),(384,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       401:{4,6}:{(380,1),(411,1),(415,1)}
       402:{3,5}:{(381,1),(382,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,3,7}:{(385,1),(386,1),(387,1),(416,1)}
       405:{1,4,6}:{(386,1),(388,1),(394,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(387,1),(388,1),(389,1),(416,1),(418,1)}
       407:{2,5}:{(388,1),(390,1),(417,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(392,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(391,1),(395,1),(399,1),(420,1)}
       410:{1,4,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(400,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(422,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 699 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(33,1),(40,1),(41,1),(44,1),(73,1),(75,1),(93,1),(140,1),(150,1),(209,1),(213,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(104,1),(129,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(56,1),(109,1),(127,1),(183,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(209,1),(219,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(83,1),(141,1),(213,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(88,1),(90,1),(140,1),(146,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(54,1),(62,1),(114,1),(115,1),(121,1),(129,1),(179,1),(180,1),(186,1),(193,1),(244,1),(254,1),(290,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(244,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(119,1),(178,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(175,1),(200,1),(203,1),(256,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(100,1),(143,1),(144,1),(168,1),(219,1),(270,1),(271,1),(297,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(40,1),(75,1),(81,1),(84,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(76,1),(91,1),(147,1),(148,1),(162,1),(217,1),(278,1),(303,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(141,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(75,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(146,1),(149,1),(162,1),(166,1),(169,1),(217,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(129,1),(186,1),(197,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(20,1),(48,1),(50,1),(51,1),(63,1),(104,1),(172,1),(179,1),(202,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(21,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{1,3,4,6,7}:{(18,1),(53,1),(54,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        33:{1,4,5,7}:{(17,1),(20,1),(48,1),(56,1),(65,1),(114,1),(119,1),(172,1),(179,1),(237,1)}
        34:{2,4,6}:{(17,1),(18,1),(49,1),(56,1),(57,1),(109,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(54,1),(57,1),(58,1),(125,1),(193,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(50,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(178,1),(197,1),(201,1),(244,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(33,1),(75,1),(76,1),(80,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(34,1),(76,1),(162,1),(217,1),(228,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(39,1),(76,1),(79,1),(80,1),(94,1),(139,1),(147,1),(164,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(40,1),(80,1),(81,1),(97,1),(166,1),(215,1),(273,1),(299,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(74,1),(83,1),(84,1),(141,1),(143,1),(213,1)}
        54:{1,3,5,7}:{(32,1),(35,1),(84,1),(85,1),(157,1)}
        55:{1,2,4,5,7}:{(33,1),(38,1),(75,1),(86,1),(87,1),(95,1),(144,1),(150,1),(155,1),(164,1),(213,1),(215,1),(224,1),(226,1),(269,1),(313,1)}
        56:{1,4,6}:{(33,1),(34,1),(76,1),(88,1)}
        57:{2,5,6}:{(34,1),(35,1),(40,1),(84,1),(88,1),(215,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(85,1),(89,1),(91,1),(147,1),(226,1),(227,1),(278,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(78,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(79,1),(94,1),(95,1),(164,1),(300,1),(301,1),(302,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(141,1),(228,1),(277,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(146,1),(166,1),(227,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(202,1),(259,1)}
        74:{2,3,6,7}:{(49,1),(53,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(56,1),(109,1),(256,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(57,1),(107,1),(110,1),(111,1),(125,1),(195,1),(248,1)}
        78:{2,3,7}:{(50,1),(63,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(65,1),(113,1),(114,1),(186,1),(200,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(54,1),(59,1),(116,1),(117,1),(189,1),(253,1)}
        83:{1,4,6,7}:{(53,1),(56,1),(106,1),(119,1),(179,1)}
        84:{2,5,7}:{(53,1),(54,1),(57,1),(119,1)}
        85:{1,4,5,7}:{(54,1),(58,1),(117,1),(120,1),(179,1),(255,1)}
        86:{1,3,5,7}:{(55,1),(63,1),(108,1),(121,1),(122,1),(130,1),(186,1),(193,1),(244,1),(290,1)}
        87:{1,2,4,6}:{(55,1),(56,1),(109,1),(122,1),(123,1),(181,1),(183,1),(194,1),(289,1),(314,1)}
        88:{1,5,6}:{(56,1),(57,1),(65,1),(119,1),(237,1)}
        89:{2,4,5,6}:{(57,1),(58,1),(66,1),(111,1),(120,1),(124,1),(125,1),(127,1),(183,1),(195,1),(246,1),(289,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(112,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(113,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(178,1),(197,1),(255,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(244,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(229,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(83,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(84,1),(142,1),(143,1),(157,1),(225,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(86,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(88,1),(142,1),(146,1),(147,1),(217,1),(227,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(94,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(164,1),(209,1)}
       115:{3,4,5}:{(81,1),(97,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(84,1),(90,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(85,1),(91,1),(153,1),(277,1),(278,1)}
       118:{1,2,4,6,7}:{(83,1),(87,1),(141,1),(154,1),(155,1),(211,1),(213,1),(224,1)}
       119:{1,5,7}:{(83,1),(84,1),(88,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(89,1),(143,1),(153,1),(156,1),(157,1),(213,1),(225,1)}
       121:{1,3,4,7}:{(86,1),(144,1),(158,1),(164,1),(219,1),(224,1),(270,1)}
       122:{1,3,6}:{(86,1),(87,1),(145,1),(217,1),(303,1)}
       123:{1,2,5,6}:{(87,1),(88,1),(95,1),(146,1),(155,1),(159,1),(215,1),(268,1),(301,1)}
       124:{1,4,5,6}:{(88,1),(89,1),(96,1),(147,1),(156,1),(160,1),(161,1),(263,1),(295,1)}
       125:{3,5,6}:{(89,1),(97,1),(148,1),(157,1),(162,1),(217,1),(273,1),(303,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(149,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(150,1),(164,1),(165,1),(166,1),(221,1),(230,1),(276,1),(302,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(213,1),(272,1),(304,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(256,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(119,1),(178,1),(179,1),(244,1),(255,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(121,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(122,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(125,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(130,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(132,1),(184,1),(186,1),(187,1),(198,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(119,1),(126,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(120,1),(127,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,3,6,7}:{(118,1),(122,1),(177,1),(191,1),(244,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(123,1),(178,1),(191,1),(242,1),(309,1)}
       156:{1,4,5,7}:{(119,1),(120,1),(124,1),(179,1),(188,1),(192,1)}
       157:{3,5,7}:{(120,1),(125,1),(180,1),(189,1),(244,1)}
       158:{1,3,4,6}:{(121,1),(122,1),(181,1),(193,1),(194,1),(247,1)}
       159:{1,3,5,6}:{(122,1),(123,1),(130,1),(182,1),(191,1),(193,1),(194,1),(286,1),(310,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(132,1),(184,1),(192,1),(195,1),(196,1),(284,1),(306,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(185,1)}
       165:{1,3,5}:{(131,1),(135,1),(186,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(244,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(227,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(154,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(157,1)}
       181:{2,4,6}:{(144,1),(145,1),(158,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(159,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(160,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(164,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(166,1),(218,1),(220,1),(221,1),(230,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(156,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(157,1),(162,1),(303,1)}
       190:{1,3,4,6,7}:{(154,1),(158,1),(211,1),(223,1),(224,1),(270,1),(278,1),(303,1)}
       191:{1,3,5,7}:{(154,1),(155,1),(159,1),(212,1),(224,1),(298,1),(313,1)}
       192:{1,3,5,7}:{(156,1),(157,1),(160,1),(214,1),(222,1),(225,1)}
       193:{1,3,5}:{(158,1),(215,1),(226,1),(273,1)}
       194:{1,4,6}:{(159,1),(164,1),(216,1),(224,1),(226,1)}
       195:{2,5,6}:{(160,1),(166,1),(218,1),(225,1),(227,1),(228,1),(299,1),(312,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(219,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(276,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(255,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(190,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(191,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(192,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(193,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(194,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(195,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(257,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(192,1),(196,1),(252,1),(306,1)}
       223:{1,3,5,7}:{(190,1),(193,1),(242,1),(253,1),(254,1),(290,1)}
       224:{1,4,7}:{(191,1),(194,1),(243,1)}
       225:{2,5,7}:{(192,1),(195,1),(245,1),(252,1),(255,1)}
       226:{1,4,5}:{(193,1),(194,1),(246,1),(310,1)}
       227:{1,5,6}:{(195,1),(200,1),(249,1),(255,1),(256,1),(310,1),(314,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(223,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(224,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(225,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(226,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(230,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(225,1),(228,1),(277,1),(312,1)}
       253:{1,3,5,6}:{(223,1),(268,1),(278,1),(303,1)}
       254:{1,4,5,7}:{(223,1),(224,1),(226,1),(269,1),(278,1),(313,1)}
       255:{1,5,7}:{(225,1),(227,1),(272,1),(277,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(276,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(253,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(254,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(255,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(257,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(255,1),(256,1),(314,1)}
       278:{1,4,6}:{(253,1),(254,1),(289,1),(314,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 700 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

 701 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(69,1),(129,1),(149,1),(155,1),(217,1),(231,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(20,1),(27,1),(69,1),(79,1),(131,1),(147,1),(217,1),(227,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(10,1),(41,1),(89,1),(109,1),(110,1),(169,1),(261,1),(263,1),(342,1),(394,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(43,1),(114,1),(194,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(108,1),(175,1),(198,1),(278,1)}
         5:{1,3,5}:{(1,1),(10,1),(13,1),(14,1),(177,1),(272,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(75,1),(123,1),(153,1),(213,1),(219,1),(231,1),(248,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(24,1),(57,1),(60,1),(69,1),(123,1),(140,1),(141,1),(155,1),(219,1),(231,1),(235,1),(309,1),(322,1),(378,1),(381,1)}
         8:{1,4,6}:{(2,1),(18,1),(20,1),(22,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(22,1),(23,1),(25,1),(74,1),(130,1),(218,1)}
        10:{1,3,6}:{(3,1),(5,1),(24,1),(25,1),(309,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(22,1),(25,1),(73,1),(159,1),(241,1),(310,1)}
        12:{1,2,6,7}:{(4,1),(23,1),(155,1),(245,1),(306,1),(320,1)}
        13:{1,3,4}:{(5,1),(27,1),(304,1),(314,1)}
        14:{2,3,5}:{(5,1),(24,1),(27,1),(28,1),(69,1),(147,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(30,1),(31,1),(32,1),(46,1),(84,1),(107,1),(171,1),(172,1),(200,1),(202,1),(290,1),(359,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(30,1),(32,1),(33,1),(86,1),(254,1),(268,1),(332,1)}
        17:{1,2,5,7}:{(6,1),(31,1),(33,1),(34,1),(113,1),(170,1),(259,1),(278,1)}
        18:{2,4,6}:{(7,1),(8,1),(30,1),(35,1),(36,1),(37,1),(281,1),(400,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(31,1),(37,1),(38,1),(47,1),(90,1),(95,1),(100,1),(108,1),(170,1),(278,1),(346,1),(398,1)}
        20:{1,4,5}:{(8,1),(35,1),(41,1),(169,1),(394,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(13,1),(36,1),(41,1),(43,1),(44,1),(109,1)}
        22:{1,4,7}:{(8,1),(9,1),(37,1)}
        23:{1,3,6,7}:{(9,1),(12,1),(38,1),(45,1),(109,1),(263,1),(342,1)}
        24:{2,3,6}:{(10,1),(14,1),(43,1),(46,1),(47,1),(194,1)}
        25:{1,3,7}:{(10,1),(11,1),(47,1),(346,1)}
        26:{1,3,4,5}:{(13,1),(41,1),(48,1),(49,1),(91,1),(102,1),(180,1),(206,1),(272,1),(291,1)}
        27:{2,4}:{(13,1),(14,1),(50,1)}
        28:{1,3,5}:{(14,1),(46,1),(50,1),(51,1),(107,1),(117,1)}
        29:{1,2,4,5}:{(16,1),(52,1),(53,1),(119,1),(123,1),(153,1),(211,1),(227,1),(246,1),(293,1),(296,1)}
        30:{1,4,6}:{(15,1),(18,1),(53,1),(55,1),(246,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(19,1),(55,1),(56,1),(58,1),(76,1),(128,1),(154,1)}
        32:{1,3,6}:{(16,1),(52,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(55,1),(58,1),(127,1),(299,1),(310,1),(364,1)}
        34:{1,2,6,7}:{(17,1),(56,1),(219,1),(248,1),(303,1),(320,1)}
        35:{2,4,5}:{(18,1),(20,1),(53,1),(60,1),(69,1),(123,1),(381,1),(414,1)}
        36:{3,4,6}:{(18,1),(60,1),(63,1),(140,1),(309,1),(314,1)}
        37:{2,4,7}:{(18,1),(19,1),(22,1),(55,1),(63,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(23,1),(56,1),(64,1),(140,1),(155,1),(219,1),(320,1),(322,1),(375,1)}
        39:{2,3,4}:{(27,1),(65,1),(66,1),(148,1),(242,1),(314,1)}
        40:{1,4,5,6}:{(20,1),(59,1),(67,1),(68,1),(71,1),(213,1),(224,1),(317,1),(325,1),(383,1)}
        41:{1,3,5}:{(20,1),(21,1),(60,1),(69,1)}
        42:{1,4,5,7}:{(20,1),(22,1),(61,1),(70,1),(71,1),(74,1),(218,1)}
        43:{2,4,6}:{(21,1),(24,1),(27,1),(69,1),(72,1),(73,1),(155,1)}
        44:{1,3,4,7}:{(21,1),(22,1),(25,1),(63,1),(70,1),(73,1)}
        45:{1,4,6,7}:{(22,1),(23,1),(64,1),(71,1),(74,1),(371,1)}
        46:{1,3,6}:{(24,1),(28,1),(72,1),(75,1),(76,1)}
        47:{2,3,7}:{(24,1),(25,1),(73,1),(76,1),(241,1)}
        48:{1,3,4,6}:{(26,1),(67,1),(77,1),(78,1),(132,1),(145,1),(224,1),(309,1)}
        49:{2,4,5}:{(26,1),(27,1),(65,1),(69,1),(77,1),(79,1),(147,1),(242,1),(323,1)}
        50:{1,4}:{(27,1),(28,1)}
        51:{1,2,5}:{(28,1),(75,1),(80,1),(147,1)}
        52:{1,3,5}:{(29,1),(32,1),(81,1),(82,1),(272,1),(331,1)}
        53:{1,4,5}:{(30,1),(35,1),(84,1),(107,1),(359,1)}
        54:{1,3,4,6}:{(30,1),(32,1),(36,1),(81,1),(84,1),(86,1),(87,1),(171,1)}
        55:{1,4,7}:{(30,1),(31,1),(37,1)}
        56:{1,3,6,7}:{(31,1),(34,1),(38,1),(88,1),(171,1),(202,1),(290,1)}
        57:{2,3,6}:{(32,1),(82,1),(86,1),(89,1),(90,1),(332,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(83,1),(92,1),(93,1),(96,1),(104,1),(166,1),(178,1),(268,1),(275,1),(276,1),(351,1),(352,1),(400,1),(401,1)}
        60:{3,5}:{(35,1),(36,1)}
        61:{2,4,5,7}:{(35,1),(37,1),(42,1),(85,1),(95,1),(96,1),(100,1),(108,1),(170,1),(193,1)}
        62:{2,3,4,6}:{(36,1),(39,1),(43,1),(86,1),(94,1),(97,1),(98,1),(101,1),(161,1),(178,1),(189,1),(191,1),(251,1),(281,1),(284,1),(345,1),(355,1),(388,1)}
        63:{3,4,7}:{(36,1),(37,1),(95,1),(346,1)}
        64:{2,4,6,7}:{(37,1),(38,1),(45,1),(88,1),(96,1),(99,1),(100,1),(355,1)}
        65:{2,3,5}:{(39,1),(49,1),(101,1),(102,1),(272,1)}
        66:{1,3,4}:{(39,1),(50,1),(102,1),(103,1),(117,1),(177,1),(267,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(48,1),(92,1),(104,1),(105,1),(109,1),(291,1),(360,1)}
        68:{1,4,5,7}:{(40,1),(93,1),(105,1),(106,1),(259,1),(269,1),(348,1)}
        69:{2,5}:{(41,1),(43,1),(107,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(95,1),(108,1),(109,1)}
        71:{1,4,6}:{(42,1),(96,1),(109,1),(110,1),(263,1)}
        72:{1,4,6}:{(43,1),(46,1),(50,1),(107,1),(112,1),(202,1)}
        73:{2,4,7}:{(43,1),(44,1),(47,1),(108,1),(112,1)}
        74:{1,5,7}:{(45,1),(100,1),(110,1),(394,1)}
        75:{1,2,6}:{(46,1),(51,1),(113,1),(194,1)}
        76:{1,3,7}:{(46,1),(47,1),(112,1),(113,1)}
        77:{2,4,6}:{(48,1),(49,1),(101,1),(104,1),(114,1),(115,1),(194,1)}
        78:{1,3,4,7}:{(48,1),(105,1),(115,1),(179,1),(195,1),(269,1),(346,1)}
        79:{1,4,5}:{(49,1),(50,1),(102,1),(107,1),(114,1),(267,1),(343,1)}
        80:{1,2,4}:{(50,1),(51,1),(103,1),(117,1)}
        81:{1,3,4}:{(52,1),(119,1),(246,1),(314,1)}
        82:{2,3,5}:{(52,1),(57,1),(119,1),(120,1),(123,1),(296,1),(297,1)}
        83:{1,4,5,6}:{(53,1),(59,1),(121,1),(122,1),(125,1),(149,1),(224,1),(317,1),(368,1),(409,1)}
        84:{1,3,5}:{(53,1),(54,1),(60,1),(123,1)}
        85:{1,4,5,7}:{(53,1),(55,1),(61,1),(124,1),(125,1),(128,1),(154,1)}
        86:{2,4,6}:{(54,1),(57,1),(119,1),(123,1),(126,1),(127,1),(219,1)}
        87:{1,3,4,7}:{(54,1),(55,1),(58,1),(63,1),(124,1),(127,1)}
        88:{1,4,6,7}:{(55,1),(56,1),(64,1),(125,1),(128,1),(328,1)}
        89:{1,3,6}:{(57,1),(120,1),(126,1),(129,1),(130,1)}
        90:{2,3,7}:{(57,1),(58,1),(127,1),(130,1),(364,1)}
        91:{3,4,5}:{(60,1),(132,1),(133,1),(314,1),(373,1),(414,1)}
        92:{3,5,6}:{(59,1),(60,1),(132,1),(136,1),(140,1),(309,1),(373,1),(411,1)}
        93:{2,4,5,7}:{(59,1),(68,1),(122,1),(136,1),(137,1),(150,1),(214,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        94:{2,3,5}:{(60,1),(62,1),(69,1),(123,1),(133,1),(138,1),(323,1),(373,1),(381,1),(406,1)}
        95:{3,5,7}:{(60,1),(61,1),(63,1),(140,1)}
        96:{2,4,6}:{(61,1),(71,1),(125,1),(140,1),(141,1),(155,1),(219,1),(238,1)}
        97:{1,3,4,6}:{(62,1),(66,1),(72,1),(126,1),(138,1),(142,1),(143,1),(145,1),(156,1),(208,1),(220,1),(224,1),(237,1),(246,1),(294,1),(304,1),(307,1),(309,1),(314,1),(328,1),(371,1),(377,1),(404,1)}
        98:{2,3,4,7}:{(62,1),(63,1),(73,1),(127,1),(139,1),(143,1),(146,1),(225,1),(239,1),(295,1),(321,1),(324,1),(374,1),(407,1)}
        99:{3,4,6,7}:{(63,1),(64,1),(140,1),(144,1),(238,1),(375,1),(377,1),(413,1)}
       100:{2,5,7}:{(64,1),(74,1),(128,1),(141,1),(144,1),(381,1)}
       101:{2,3,6}:{(65,1),(77,1),(145,1),(146,1),(309,1)}
       102:{1,3,5}:{(65,1),(66,1),(79,1),(145,1),(147,1)}
       103:{2,4}:{(66,1),(147,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(77,1),(149,1),(150,1),(155,1),(323,1),(382,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(78,1),(136,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(71,1),(137,1),(151,1),(152,1),(303,1),(383,1)}
       107:{1,5}:{(69,1),(72,1)}
       108:{2,5,7}:{(69,1),(70,1),(73,1),(154,1),(155,1)}
       109:{1,3,6}:{(70,1),(71,1),(140,1),(155,1)}
       110:{1,5,6}:{(71,1),(74,1),(141,1)}
       111:{1,2,4,6}:{(72,1),(75,1),(80,1),(142,1),(153,1),(156,1),(157,1),(246,1),(248,1),(293,1),(328,1),(361,1),(404,1)}
       112:{1,4,7}:{(72,1),(73,1),(76,1),(154,1)}
       113:{1,2,7}:{(75,1),(76,1),(241,1)}
       114:{1,4,6}:{(77,1),(79,1),(145,1),(149,1),(159,1)}
       115:{2,4,7}:{(77,1),(78,1),(146,1),(150,1),(159,1),(241,1)}
       116:{1,2,4,5}:{(79,1),(80,1),(147,1),(153,1),(158,1),(160,1),(227,1),(242,1),(246,1),(323,1),(325,1)}
       117:{1,3}:{(80,1),(148,1)}
       118:{1,3,4,5}:{(81,1),(84,1),(91,1),(162,1),(163,1),(180,1),(252,1),(272,1),(337,1),(390,1)}
       119:{2,4}:{(81,1),(82,1),(164,1)}
       120:{1,3,5}:{(82,1),(89,1),(164,1),(165,1),(169,1),(257,1)}
       121:{1,3,5,6}:{(83,1),(84,1),(92,1),(162,1),(166,1),(167,1),(171,1),(390,1),(419,1)}
       122:{1,4,5,7}:{(83,1),(93,1),(167,1),(168,1),(198,1),(269,1),(348,1)}
       123:{2,5}:{(84,1),(86,1),(169,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(87,1),(95,1),(170,1),(171,1)}
       125:{1,4,6}:{(85,1),(96,1),(171,1),(172,1),(202,1)}
       126:{1,4,6}:{(86,1),(89,1),(164,1),(169,1),(174,1),(263,1)}
       127:{2,4,7}:{(86,1),(87,1),(90,1),(170,1),(174,1)}
       128:{1,5,7}:{(88,1),(100,1),(172,1),(359,1)}
       129:{1,2,6}:{(89,1),(165,1),(175,1),(332,1)}
       130:{1,3,7}:{(89,1),(90,1),(174,1),(175,1)}
       131:{1,2,4}:{(103,1),(176,1),(177,1),(267,1)}
       132:{3,4,6}:{(91,1),(92,1),(178,1),(179,1),(400,1)}
       133:{2,4,5}:{(91,1),(94,1),(178,1),(180,1),(281,1)}
       134:{3,4,5,7}:{(91,1),(95,1),(179,1),(181,1),(182,1),(193,1),(271,1),(349,1),(396,1),(399,1),(422,1)}
       135:{2,3,5,6}:{(92,1),(94,1),(101,1),(104,1),(166,1),(178,1),(183,1),(184,1),(189,1),(251,1),(275,1)}
       136:{3,5,7}:{(92,1),(93,1),(179,1),(185,1),(346,1)}
       137:{2,4,6,7}:{(93,1),(96,1),(106,1),(168,1),(185,1),(186,1),(199,1),(260,1),(280,1),(401,1)}
       138:{1,3,5}:{(94,1),(97,1),(107,1),(169,1),(180,1),(187,1),(272,1),(343,1),(359,1),(394,1),(399,1),(416,1)}
       139:{2,3,5,7}:{(94,1),(95,1),(98,1),(108,1),(170,1),(181,1),(188,1),(189,1),(356,1),(396,1),(418,1)}
       140:{3,6}:{(95,1),(96,1)}
       141:{2,5,6}:{(96,1),(100,1),(110,1),(172,1),(190,1)}
       142:{2,4,6}:{(97,1),(103,1),(187,1),(191,1),(192,1),(194,1),(253,1),(281,1),(283,1),(332,1)}
       143:{1,3,4,7}:{(97,1),(98,1),(112,1),(174,1),(188,1),(192,1),(195,1),(203,1),(264,1),(269,1),(289,1),(333,1),(341,1),(344,1),(346,1),(349,1),(417,1)}
       144:{3,5,7}:{(99,1),(100,1),(190,1),(193,1),(399,1)}
       145:{1,3,6}:{(101,1),(102,1),(114,1),(194,1),(195,1)}
       146:{2,3,7}:{(101,1),(115,1),(195,1),(346,1)}
       147:{2,5}:{(102,1),(103,1),(194,1)}
       148:{2,3}:{(103,1),(117,1),(177,1)}
       149:{1,5,6}:{(104,1),(107,1),(114,1),(198,1),(202,1),(343,1),(395,1)}
       150:{2,5,7}:{(104,1),(105,1),(115,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(109,1),(185,1),(199,1),(360,1)}
       152:{1,5,6,7}:{(106,1),(110,1),(186,1),(348,1),(403,1)}
       153:{1,2,5}:{(107,1),(111,1),(187,1),(200,1),(359,1),(416,1)}
       154:{1,5,7}:{(107,1),(108,1),(112,1),(202,1)}
       155:{2,6}:{(108,1),(109,1),(202,1)}
       156:{1,3,6}:{(111,1),(117,1),(191,1),(200,1),(203,1),(331,1)}
       157:{1,2,4,7}:{(111,1),(112,1),(113,1),(192,1),(201,1),(203,1),(289,1),(386,1),(417,1)}
       158:{1,2,4,6}:{(114,1),(116,1),(194,1),(197,1),(204,1),(205,1),(268,1),(284,1),(286,1)}
       159:{1,4,7}:{(114,1),(115,1),(195,1),(198,1)}
       160:{1,3,5}:{(116,1),(117,1),(196,1),(204,1),(206,1),(272,1)}
       161:{2,3,4}:{(119,1),(207,1),(208,1),(297,1),(314,1),(365,1)}
       162:{1,3,4,6}:{(118,1),(121,1),(132,1),(209,1),(210,1),(224,1),(294,1),(309,1)}
       163:{2,4,5}:{(118,1),(119,1),(123,1),(207,1),(209,1),(211,1),(296,1),(365,1),(406,1)}
       164:{1,4}:{(119,1),(120,1)}
       165:{1,2,5}:{(120,1),(129,1),(212,1),(296,1)}
       166:{2,5,6}:{(121,1),(123,1),(209,1),(213,1),(214,1),(219,1),(406,1),(424,1)}
       167:{1,3,5,7}:{(121,1),(122,1),(136,1),(210,1),(214,1),(215,1)}
       168:{1,4,6,7}:{(122,1),(125,1),(137,1),(215,1),(216,1),(245,1),(409,1)}
       169:{1,5}:{(123,1),(126,1)}
       170:{2,5,7}:{(123,1),(124,1),(127,1),(218,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(140,1),(219,1)}
       172:{1,5,6}:{(125,1),(128,1),(141,1)}
       173:{1,2,4,6}:{(126,1),(129,1),(131,1),(142,1),(212,1),(217,1),(220,1),(221,1),(222,1),(304,1),(306,1),(307,1),(371,1)}
       174:{1,4,7}:{(126,1),(127,1),(130,1),(218,1)}
       175:{1,2,7}:{(129,1),(130,1),(364,1)}
       176:{1,2,5}:{(131,1),(147,1),(222,1),(223,1)}
       177:{1,3}:{(131,1),(148,1)}
       178:{2,4,6}:{(132,1),(133,1),(135,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(136,1),(225,1),(413,1)}
       180:{1,4,5}:{(133,1),(138,1),(224,1),(227,1),(246,1),(304,1),(414,1)}
       181:{2,4,5,7}:{(133,1),(134,1),(139,1),(225,1),(228,1),(229,1),(312,1),(321,1),(381,1)}
       182:{3,4,6}:{(134,1),(140,1),(229,1),(230,1),(238,1),(411,1),(425,1)}
       183:{1,3,5,6}:{(135,1),(138,1),(145,1),(149,1),(213,1),(224,1),(231,1),(232,1),(237,1),(294,1),(309,1),(317,1),(378,1)}
       184:{2,3,5,7}:{(135,1),(136,1),(146,1),(150,1),(214,1),(225,1),(232,1),(233,1),(295,1),(312,1)}
       185:{3,6,7}:{(136,1),(137,1),(140,1),(411,1)}
       186:{2,5,6,7}:{(137,1),(141,1),(152,1),(216,1),(234,1),(312,1),(376,1),(415,1)}
       187:{2,5}:{(138,1),(142,1)}
       188:{1,3,5,7}:{(138,1),(139,1),(143,1),(154,1),(218,1),(228,1),(236,1),(237,1),(315,1),(372,1),(423,1)}
       189:{2,3,6}:{(139,1),(140,1),(155,1),(219,1),(229,1),(237,1),(382,1),(411,1),(424,1)}
       190:{3,5,6}:{(140,1),(141,1),(144,1),(238,1)}
       191:{2,3,6}:{(142,1),(148,1),(156,1),(220,1),(235,1),(239,1),(297,1),(309,1)}
       192:{2,4,7}:{(142,1),(143,1),(236,1),(239,1),(241,1),(364,1)}
       193:{4,5,7}:{(144,1),(238,1),(413,1),(414,1)}
       194:{2,6}:{(145,1),(147,1),(241,1)}
       195:{1,3,7}:{(145,1),(146,1),(159,1),(241,1)}
       196:{2,3,5}:{(147,1),(148,1),(160,1),(223,1),(240,1),(242,1),(323,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(158,1),(231,1),(243,1),(244,1),(248,1),(323,1),(361,1),(382,1)}
       198:{1,5,7}:{(149,1),(150,1),(159,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(155,1),(245,1),(382,1)}
       200:{1,3,5}:{(153,1),(156,1),(235,1),(246,1)}
       201:{1,2,5,7}:{(153,1),(154,1),(157,1),(236,1),(247,1),(248,1),(423,1)}
       202:{1,6}:{(154,1),(155,1)}
       203:{1,3,7}:{(156,1),(157,1),(239,1)}
       204:{1,3,6}:{(158,1),(160,1),(240,1),(250,1),(309,1)}
       205:{1,2,4,7}:{(158,1),(159,1),(241,1),(244,1),(250,1),(310,1),(324,1),(326,1)}
       206:{1,3,4}:{(160,1),(242,1),(246,1),(314,1)}
       207:{2,3,5}:{(161,1),(163,1),(251,1),(252,1),(272,1)}
       208:{1,3,4}:{(161,1),(164,1),(252,1),(253,1),(257,1),(331,1),(387,1)}
       209:{2,4,6}:{(162,1),(163,1),(166,1),(251,1),(254,1),(255,1),(332,1)}
       210:{1,3,4,7}:{(162,1),(167,1),(179,1),(255,1),(269,1),(333,1),(346,1)}
       211:{1,4,5}:{(163,1),(164,1),(169,1),(252,1),(254,1),(387,1),(416,1)}
       212:{1,2,4}:{(164,1),(165,1),(253,1),(257,1)}
       213:{1,5,6}:{(166,1),(169,1),(254,1),(259,1),(263,1),(416,1),(426,1)}
       214:{2,5,7}:{(166,1),(167,1),(255,1),(259,1),(260,1)}
       215:{1,3,6,7}:{(167,1),(168,1),(171,1),(185,1),(260,1),(419,1)}
       216:{1,5,6,7}:{(168,1),(172,1),(186,1),(348,1),(420,1)}
       217:{1,2,5}:{(169,1),(173,1),(187,1),(261,1),(343,1),(394,1)}
       218:{1,5,7}:{(169,1),(170,1),(174,1),(263,1)}
       219:{2,6}:{(170,1),(171,1),(263,1)}
       220:{1,3,6}:{(173,1),(177,1),(191,1),(257,1),(261,1),(264,1)}
       221:{1,2,4,7}:{(173,1),(174,1),(175,1),(192,1),(262,1),(264,1),(266,1),(341,1),(344,1)}
       222:{1,2,6}:{(176,1),(194,1),(265,1),(266,1)}
       223:{1,3,5}:{(176,1),(177,1),(196,1),(265,1),(267,1),(343,1)}
       224:{1,4,6}:{(178,1),(180,1),(183,1),(268,1),(269,1),(400,1)}
       225:{2,4,7}:{(178,1),(179,1),(184,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(185,1),(270,1),(271,1),(280,1)}
       227:{2,4,5}:{(180,1),(187,1),(268,1),(272,1),(281,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(188,1),(269,1),(273,1),(274,1),(289,1),(341,1),(348,1),(359,1),(394,1)}
       229:{2,4,6}:{(181,1),(182,1),(189,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(271,1),(275,1),(276,1),(399,1)}
       231:{2,5,6}:{(183,1),(187,1),(194,1),(268,1),(278,1),(283,1),(332,1)}
       232:{1,3,5,7}:{(183,1),(184,1),(195,1),(198,1),(259,1),(269,1),(278,1),(279,1),(333,1),(346,1),(348,1),(398,1)}
       233:{2,3,6,7}:{(184,1),(185,1),(189,1),(199,1),(260,1),(270,1),(279,1)}
       234:{3,5,6,7}:{(185,1),(186,1),(190,1),(271,1),(280,1),(398,1),(421,1)}
       235:{2,3,5}:{(187,1),(191,1),(200,1),(261,1),(272,1),(281,1)}
       236:{2,5,7}:{(187,1),(188,1),(192,1),(283,1)}
       237:{1,3,6}:{(188,1),(189,1),(202,1),(263,1),(274,1),(283,1),(350,1),(395,1),(426,1)}
       238:{4,6}:{(190,1),(193,1)}
       239:{2,3,7}:{(191,1),(192,1),(203,1),(264,1),(346,1)}
       240:{2,3,6}:{(194,1),(196,1),(204,1),(265,1),(284,1),(285,1)}
       241:{2,7}:{(194,1),(195,1)}
       242:{2,4}:{(196,1),(206,1),(267,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(204,1),(277,1),(286,1),(287,1),(290,1),(291,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(205,1),(278,1),(287,1),(288,1),(356,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(202,1),(395,1)}
       246:{1,4}:{(200,1),(281,1)}
       247:{1,3,5,7}:{(200,1),(201,1),(203,1),(282,1),(289,1),(290,1),(359,1)}
       248:{1,2,6}:{(201,1),(202,1),(283,1),(290,1),(426,1)}
       249:{1,3,4,6}:{(204,1),(206,1),(284,1),(286,1),(291,1),(292,1),(345,1),(360,1)}
       250:{1,3,7}:{(204,1),(205,1),(285,1),(346,1)}
       251:{2,3,6}:{(207,1),(209,1),(294,1),(295,1),(309,1)}
       252:{1,3,5}:{(207,1),(208,1),(211,1),(294,1),(296,1)}
       253:{2,4}:{(208,1),(296,1),(297,1)}
       254:{1,4,6}:{(209,1),(211,1),(213,1),(294,1),(299,1)}
       255:{2,4,7}:{(209,1),(210,1),(214,1),(295,1),(299,1),(364,1)}
       256:{1,2,4,5}:{(211,1),(212,1),(217,1),(227,1),(296,1),(298,1),(300,1),(304,1),(365,1),(368,1),(406,1)}
       257:{1,3}:{(212,1),(297,1)}
       258:{1,2,5,6}:{(213,1),(217,1),(222,1),(231,1),(298,1),(301,1),(302,1),(306,1),(406,1),(424,1)}
       259:{1,5,7}:{(213,1),(214,1),(299,1),(303,1)}
       260:{2,6,7}:{(214,1),(215,1),(219,1),(303,1),(424,1)}
       261:{1,3,5}:{(217,1),(220,1),(235,1),(304,1)}
       262:{1,2,5,7}:{(217,1),(218,1),(221,1),(236,1),(305,1),(306,1),(372,1)}
       263:{1,6}:{(218,1),(219,1)}
       264:{1,3,7}:{(220,1),(221,1),(239,1)}
       265:{1,3,6}:{(222,1),(223,1),(240,1),(307,1),(308,1)}
       266:{1,2,7}:{(222,1),(241,1),(308,1)}
       267:{1,4}:{(223,1),(242,1)}
       268:{2,4,6}:{(224,1),(227,1),(231,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(232,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(233,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(230,1),(312,1),(313,1)}
       272:{3,5}:{(227,1),(309,1),(314,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(236,1),(310,1),(315,1),(316,1),(321,1),(376,1),(381,1),(413,1),(414,1)}
       274:{1,4,6}:{(228,1),(229,1),(237,1),(316,1),(317,1)}
       275:{2,5,6}:{(229,1),(230,1),(312,1),(317,1),(381,1)}
       276:{4,5,6}:{(230,1),(238,1),(313,1),(414,1),(425,1)}
       277:{2,3,5,6}:{(231,1),(235,1),(240,1),(243,1),(301,1),(309,1),(318,1),(319,1),(322,1),(323,1),(363,1),(373,1),(378,1),(381,1),(382,1),(406,1),(411,1),(415,1),(424,1)}
       278:{2,5,7}:{(231,1),(232,1),(241,1),(310,1),(320,1),(364,1)}
       279:{1,3,6,7}:{(232,1),(233,1),(237,1),(245,1),(303,1),(311,1),(320,1),(375,1)}
       280:{4,6,7}:{(234,1),(238,1),(313,1),(413,1),(425,1)}
       281:{2,4}:{(235,1),(246,1),(304,1),(314,1)}
       282:{2,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(305,1),(315,1),(321,1),(322,1),(381,1)}
       283:{2,6}:{(236,1),(237,1)}
       284:{2,4,6}:{(240,1),(242,1),(249,1),(307,1),(323,1),(324,1),(382,1)}
       285:{2,3,7}:{(240,1),(241,1),(250,1),(308,1),(324,1)}
       286:{1,4,6}:{(243,1),(246,1),(318,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(250,1),(319,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(248,1),(320,1),(327,1),(382,1)}
       289:{1,4,7}:{(246,1),(247,1),(321,1),(328,1)}
       290:{1,3,6}:{(247,1),(248,1),(322,1),(328,1)}
       291:{1,3,5}:{(249,1),(323,1),(325,1),(373,1)}
       292:{1,3,4,7}:{(249,1),(250,1),(324,1),(326,1),(329,1),(374,1)}
       293:{1,2,4}:{(253,1),(330,1),(331,1),(387,1)}
       294:{1,3,6}:{(251,1),(252,1),(254,1),(332,1),(333,1)}
       295:{2,3,7}:{(251,1),(255,1),(333,1),(346,1)}
       296:{2,5}:{(252,1),(253,1),(332,1)}
       297:{2,3}:{(253,1),(257,1),(331,1)}
       298:{1,2,4,6}:{(254,1),(256,1),(258,1),(268,1),(332,1),(335,1),(336,1),(338,1),(388,1)}
       299:{1,4,7}:{(254,1),(255,1),(259,1),(333,1)}
       300:{1,3,5}:{(256,1),(257,1),(272,1),(334,1),(335,1),(337,1)}
       301:{1,3,5,6}:{(258,1),(261,1),(265,1),(277,1),(335,1),(338,1),(339,1),(342,1),(343,1),(390,1),(394,1),(395,1),(419,1),(420,1)}
       302:{1,2,5,7}:{(258,1),(259,1),(266,1),(278,1),(336,1),(339,1),(340,1),(418,1)}
       303:{1,6,7}:{(259,1),(260,1),(263,1),(426,1)}
       304:{1,4}:{(261,1),(281,1)}
       305:{1,3,5,7}:{(261,1),(262,1),(264,1),(282,1),(341,1),(342,1),(394,1)}
       306:{1,2,6}:{(262,1),(263,1),(283,1),(342,1),(395,1)}
       307:{1,4,6}:{(265,1),(267,1),(284,1),(343,1),(344,1),(395,1)}
       308:{1,3,7}:{(265,1),(266,1),(285,1),(344,1)}
       309:{3,6}:{(268,1),(272,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(278,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(279,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(275,1),(348,1)}
       313:{4,5,7}:{(271,1),(276,1),(280,1)}
       314:{3,4}:{(272,1),(281,1)}
       315:{3,5,7}:{(272,1),(273,1),(346,1),(349,1),(350,1),(399,1)}
       316:{2,4,6}:{(273,1),(274,1),(283,1),(350,1),(351,1),(400,1)}
       317:{1,5,6}:{(274,1),(275,1),(348,1),(351,1),(359,1),(394,1)}
       318:{2,4,6}:{(277,1),(281,1),(286,1),(338,1),(345,1),(352,1),(353,1),(400,1)}
       319:{2,3,5,7}:{(277,1),(278,1),(285,1),(287,1),(339,1),(346,1),(353,1),(354,1),(356,1),(389,1),(396,1),(398,1),(402,1),(418,1)}
       320:{2,6,7}:{(278,1),(279,1),(283,1)}
       321:{2,4,7}:{(281,1),(282,1),(289,1),(341,1),(349,1),(355,1)}
       322:{2,3,6}:{(282,1),(283,1),(290,1),(342,1),(350,1),(355,1)}
       323:{2,5}:{(284,1),(291,1),(343,1)}
       324:{2,4,7}:{(284,1),(285,1),(292,1),(344,1),(356,1)}
       325:{1,4,5}:{(286,1),(291,1),(352,1),(359,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(353,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(290,1),(354,1),(358,1),(360,1),(426,1)}
       328:{1,4,6}:{(289,1),(290,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(291,1),(292,1),(356,1),(357,1),(360,1),(396,1)}
       330:{1,2,5}:{(293,1),(296,1),(361,1),(362,1)}
       331:{1,3}:{(293,1),(297,1)}
       332:{2,6}:{(294,1),(296,1),(364,1)}
       333:{1,3,7}:{(294,1),(295,1),(299,1),(364,1)}
       334:{2,3,5}:{(296,1),(297,1),(300,1),(362,1),(363,1),(365,1),(406,1)}
       335:{1,3,6}:{(298,1),(300,1),(309,1),(363,1),(367,1)}
       336:{1,2,4,7}:{(298,1),(299,1),(302,1),(310,1),(364,1),(367,1),(369,1),(407,1)}
       337:{1,3,4}:{(300,1),(304,1),(314,1),(365,1)}
       338:{1,4,6}:{(301,1),(304,1),(318,1),(368,1),(369,1)}
       339:{1,3,5,7}:{(301,1),(302,1),(308,1),(319,1),(367,1),(369,1),(370,1),(372,1),(410,1)}
       340:{1,2,6,7}:{(302,1),(303,1),(306,1),(320,1),(370,1),(424,1)}
       341:{1,4,7}:{(304,1),(305,1),(321,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(322,1),(371,1)}
       343:{1,5}:{(307,1),(323,1)}
       344:{1,4,7}:{(307,1),(308,1),(324,1),(372,1)}
       345:{3,4,6}:{(309,1),(314,1),(318,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(320,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(317,1),(376,1)}
       349:{3,4,7}:{(314,1),(315,1),(321,1),(377,1),(413,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{2,5,6}:{(316,1),(317,1),(376,1),(378,1),(381,1)}
       352:{2,4,5}:{(318,1),(323,1),(325,1),(368,1),(373,1),(381,1),(406,1),(414,1)}
       353:{2,4,7}:{(318,1),(319,1),(326,1),(369,1),(374,1),(413,1)}
       354:{2,3,6,7}:{(319,1),(320,1),(322,1),(327,1),(370,1),(375,1),(380,1),(382,1),(411,1),(424,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(377,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(329,1),(379,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(328,1),(380,1),(383,1),(384,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(383,1),(411,1)}
       361:{1,2,6}:{(330,1),(332,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(385,1),(387,1),(416,1)}
       363:{2,3,6}:{(332,1),(334,1),(335,1),(385,1),(388,1),(389,1)}
       364:{2,7}:{(332,1),(333,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,4,6}:{(335,1),(337,1),(338,1),(345,1),(388,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(335,1),(336,1),(346,1),(389,1)}
       368:{1,4,5}:{(338,1),(343,1),(352,1),(390,1),(394,1)}
       369:{1,4,7}:{(338,1),(339,1),(353,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(342,1),(354,1),(393,1),(395,1),(419,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(352,1)}
       374:{3,4,7}:{(345,1),(346,1),(353,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(350,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(351,1),(398,1)}
       377:{3,4,6}:{(349,1),(350,1),(355,1),(399,1),(400,1)}
       378:{3,5,6}:{(350,1),(351,1),(398,1),(399,1),(400,1)}
       379:{2,4,5,7}:{(352,1),(353,1),(356,1),(357,1),(392,1),(396,1),(401,1),(402,1),(418,1),(422,1)}
       380:{2,4,6,7}:{(353,1),(354,1),(355,1),(358,1),(393,1),(397,1),(401,1),(402,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(399,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,4,6}:{(357,1),(360,1),(401,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(359,1),(402,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(363,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(364,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,4,6}:{(363,1),(365,1),(366,1),(404,1),(406,1),(407,1),(424,1)}
       389:{2,3,7}:{(363,1),(364,1),(367,1),(405,1),(407,1)}
       390:{1,3,5}:{(366,1),(368,1),(373,1),(406,1)}
       391:{1,3,4,7}:{(366,1),(367,1),(369,1),(374,1),(407,1),(408,1)}
       392:{1,4,5,7}:{(368,1),(369,1),(372,1),(379,1),(408,1),(409,1),(410,1)}
       393:{1,4,6,7}:{(369,1),(370,1),(371,1),(380,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(379,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{3,5}:{(377,1),(381,1),(414,1)}
       400:{4,6}:{(378,1),(413,1),(414,1)}
       401:{2,4,6}:{(379,1),(382,1),(383,1),(409,1),(411,1),(415,1),(424,1),(425,1)}
       402:{2,5,7}:{(380,1),(381,1),(384,1),(410,1),(412,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,4,6}:{(385,1),(387,1),(388,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(389,1),(417,1)}
       406:{2,5}:{(388,1),(390,1),(416,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(392,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(392,1),(395,1),(401,1),(419,1),(420,1)}
       410:{1,5,7}:{(393,1),(394,1),(402,1),(420,1)}
       411:{3,6}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(400,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(421,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{3,5,6}:{(411,1),(412,1),(415,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 702 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 703 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 704 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 705 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(16,1),(18,1),(126,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(32,1),(57,1),(104,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(9,1),(31,1),(33,1),(35,1)}
         3:{1,3,7}:{(0,1),(5,1),(9,1),(144,1),(177,1)}
         4:{1,2,7}:{(12,1),(13,1),(158,1),(169,1)}
         5:{2,3,7}:{(3,1),(13,1),(15,1),(16,1),(143,1),(159,1),(169,1)}
         6:{1,2,6}:{(1,1),(17,1),(51,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(19,1),(52,1),(81,1),(127,1),(129,1)}
         8:{1,2,5}:{(2,1),(19,1),(50,1),(52,1),(89,1)}
         9:{1,3,6}:{(2,1),(3,1),(15,1),(19,1),(168,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(18,1),(20,1),(21,1),(46,1),(103,1),(143,1),(160,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(25,1),(59,1),(109,1)}
        12:{1,2,6}:{(4,1),(25,1),(26,1),(155,1)}
        13:{1,3,7}:{(4,1),(5,1),(26,1),(27,1),(170,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(24,1),(28,1),(29,1),(30,1),(32,1),(58,1),(69,1),(70,1),(107,1),(109,1)}
        15:{2,3,6}:{(5,1),(9,1),(26,1),(30,1),(31,1),(124,1),(155,1)}
        16:{2,4,7}:{(5,1),(10,1),(27,1),(31,1),(32,1),(171,1)}
        17:{1,3,6}:{(6,1),(7,1),(28,1),(33,1),(147,1)}
        18:{1,4,7}:{(7,1),(29,1),(33,1),(35,1),(145,1)}
        19:{1,3,5}:{(8,1),(9,1),(30,1),(35,1),(115,1),(154,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(35,1),(36,1),(37,1),(68,1),(72,1),(78,1),(124,1)}
        21:{1,3,5,7}:{(10,1),(32,1),(34,1),(36,1),(37,1),(69,1),(172,1),(185,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(41,1),(42,1),(83,1)}
        23:{1,2,6}:{(11,1),(40,1),(132,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(14,1),(39,1),(40,1),(41,1),(43,1),(45,1),(84,1),(87,1)}
        25:{1,2,5}:{(12,1),(42,1),(43,1),(138,1)}
        26:{1,3,6}:{(12,1),(13,1),(15,1),(43,1),(44,1)}
        27:{1,4,7}:{(13,1),(16,1),(44,1),(45,1),(178,1)}
        28:{2,3,6}:{(14,1),(17,1),(40,1),(47,1),(51,1),(96,1),(132,1)}
        29:{2,4,7}:{(14,1),(18,1),(41,1),(46,1),(47,1),(49,1),(130,1)}
        30:{2,3,5}:{(15,1),(19,1),(43,1),(49,1),(50,1),(90,1),(99,1),(138,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(44,1),(49,1),(50,1),(51,1)}
        32:{2,5,7}:{(16,1),(21,1),(45,1),(50,1),(51,1),(179,1),(187,1)}
        33:{1,4,6}:{(17,1),(18,1),(47,1),(52,1)}
        34:{1,4,5,7}:{(18,1),(21,1),(48,1),(52,1),(53,1),(54,1),(102,1),(103,1),(129,1),(161,1),(181,1)}
        35:{1,4}:{(19,1),(49,1)}
        36:{1,3,5}:{(20,1),(50,1),(52,1),(54,1),(95,1),(99,1)}
        37:{1,3,6}:{(21,1),(51,1),(53,1),(96,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(59,1),(60,1),(62,1),(108,1),(110,1)}
        39:{1,3,7}:{(22,1),(58,1),(60,1),(64,1),(188,1)}
        40:{1,3,6}:{(23,1),(24,1),(28,1),(62,1),(67,1)}
        41:{1,4,7}:{(24,1),(29,1),(62,1),(65,1),(110,1)}
        42:{1,2,4}:{(25,1),(64,1),(65,1),(116,1)}
        43:{1,3,5}:{(25,1),(26,1),(30,1),(64,1),(65,1),(66,1)}
        44:{1,4,6}:{(26,1),(27,1),(31,1),(65,1),(66,1),(67,1)}
        45:{1,5,7}:{(27,1),(32,1),(66,1),(67,1),(183,1),(188,1)}
        46:{3,4,7}:{(29,1),(68,1),(69,1),(72,1),(148,1),(157,1)}
        47:{2,4,6}:{(28,1),(29,1),(33,1),(62,1),(68,1),(70,1)}
        48:{2,4,5,7}:{(29,1),(32,1),(34,1),(63,1),(69,1),(70,1),(71,1),(73,1),(109,1),(120,1),(123,1),(125,1),(149,1),(157,1),(176,1)}
        49:{2,4}:{(30,1),(35,1),(65,1),(72,1)}
        50:{2,5}:{(31,1),(36,1),(66,1)}
        51:{2,6}:{(32,1),(37,1),(67,1)}
        52:{1,5}:{(33,1),(70,1)}
        53:{1,4,6}:{(34,1),(37,1),(71,1),(76,1),(147,1)}
        54:{1,4,5}:{(35,1),(36,1),(73,1),(78,1),(120,1),(154,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(74,1),(76,1),(78,1),(79,1),(121,1),(124,1)}
        56:{1,3,6,7}:{(37,1),(75,1),(77,1),(79,1),(122,1),(185,1)}
        57:{1,2,7}:{(80,1),(81,1),(89,1),(187,1)}
        58:{2,3,7}:{(39,1),(81,1),(82,1),(83,1),(90,1),(182,1),(187,1)}
        59:{1,2,5}:{(38,1),(84,1),(87,1),(131,1),(158,1)}
        60:{1,3,6}:{(38,1),(39,1),(82,1),(84,1),(186,1)}
        61:{1,3,4,7}:{(39,1),(41,1),(46,1),(83,1),(85,1),(86,1),(91,1),(167,1),(182,1)}
        62:{1,4,6}:{(40,1),(41,1),(47,1),(87,1)}
        63:{1,4,5,7}:{(41,1),(45,1),(48,1),(86,1),(87,1),(88,1),(92,1),(133,1),(136,1),(140,1),(167,1)}
        64:{1,3}:{(42,1),(90,1)}
        65:{1,4}:{(43,1),(49,1)}
        66:{1,5}:{(44,1),(50,1)}
        67:{1,6}:{(45,1),(51,1)}
        68:{3,4,6}:{(46,1),(47,1),(95,1),(96,1),(141,1)}
        69:{3,5,7}:{(46,1),(48,1),(95,1),(96,1),(99,1),(143,1),(164,1),(182,1)}
        70:{2,5}:{(47,1),(52,1),(87,1),(95,1)}
        71:{2,4,6}:{(48,1),(51,1),(53,1),(88,1),(96,1),(97,1),(132,1),(141,1)}
        72:{3,4}:{(49,1),(99,1)}
        73:{2,4,5}:{(49,1),(50,1),(54,1),(92,1),(99,1),(100,1),(138,1)}
        74:{2,5,6}:{(50,1),(51,1),(55,1),(93,1),(100,1),(101,1)}
        75:{2,6,7}:{(51,1),(56,1),(94,1),(101,1),(187,1)}
        76:{1,5,6}:{(52,1),(53,1),(97,1),(102,1)}
        77:{1,4,6,7}:{(53,1),(56,1),(98,1),(102,1),(103,1),(163,1),(181,1)}
        78:{1,4,6}:{(54,1),(55,1),(100,1),(103,1),(141,1),(168,1)}
        79:{1,3,5,7}:{(55,1),(56,1),(101,1),(102,1),(103,1),(142,1),(143,1)}
        80:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        81:{1,3,7}:{(57,1),(58,1),(105,1),(106,1),(115,1)}
        82:{2,3,6}:{(58,1),(60,1),(105,1),(107,1),(108,1),(175,1),(184,1)}
        83:{2,4,7}:{(58,1),(61,1),(106,1),(108,1),(109,1),(116,1)}
        84:{1,3,5}:{(59,1),(60,1),(107,1),(110,1),(170,1),(183,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(62,1),(68,1),(108,1),(110,1),(111,1),(112,1),(148,1),(152,1),(175,1)}
        86:{1,3,5,7}:{(61,1),(63,1),(69,1),(109,1),(111,1),(112,1),(117,1),(156,1)}
        87:{1,5}:{(62,1),(70,1)}
        88:{1,4,6}:{(63,1),(67,1),(71,1),(112,1),(113,1)}
        89:{1,2}:{(115,1)}
        90:{2,3}:{(64,1),(115,1),(116,1)}
        91:{1,3,4}:{(64,1),(65,1),(72,1),(116,1),(117,1)}
        92:{1,4,5}:{(65,1),(66,1),(73,1),(117,1),(118,1)}
        93:{1,5,6}:{(66,1),(67,1),(74,1),(118,1),(119,1)}
        94:{1,6,7}:{(67,1),(75,1),(119,1),(188,1)}
        95:{3,5}:{(68,1),(70,1),(120,1)}
        96:{3,6}:{(69,1),(71,1)}
        97:{2,5,6}:{(70,1),(71,1),(76,1),(113,1),(121,1),(123,1)}
        98:{2,4,6,7}:{(71,1),(75,1),(77,1),(114,1),(122,1),(123,1),(125,1),(151,1),(157,1),(176,1)}
        99:{3,5}:{(72,1),(73,1),(124,1)}
       100:{2,4,6}:{(73,1),(74,1),(78,1),(118,1),(124,1),(125,1),(155,1)}
       101:{2,5,7}:{(74,1),(75,1),(79,1),(119,1),(125,1)}
       102:{1,5,7}:{(76,1),(77,1),(123,1)}
       103:{1,4,7}:{(78,1),(79,1),(125,1),(157,1),(177,1)}
       104:{1,2,5}:{(80,1),(126,1),(127,1),(179,1)}
       105:{1,3,6}:{(80,1),(81,1),(82,1),(127,1),(128,1)}
       106:{1,4,7}:{(81,1),(83,1),(128,1),(129,1),(137,1)}
       107:{2,3,5}:{(82,1),(84,1),(127,1),(130,1),(131,1),(159,1),(164,1),(179,1)}
       108:{2,4,6}:{(82,1),(83,1),(85,1),(128,1),(130,1),(131,1),(132,1)}
       109:{2,5,7}:{(83,1),(86,1),(129,1),(131,1),(132,1),(138,1),(169,1)}
       110:{1,4}:{(84,1),(130,1)}
       111:{1,3,5}:{(85,1),(87,1),(95,1),(131,1),(133,1),(164,1)}
       112:{1,3,6}:{(86,1),(88,1),(96,1),(132,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(136,1)}
       114:{1,4,6,7}:{(88,1),(94,1),(98,1),(135,1),(136,1),(140,1),(167,1)}
       115:{1,3}:{(89,1),(90,1),(137,1)}
       116:{2,4}:{(90,1),(91,1),(137,1),(138,1)}
       117:{1,3,5}:{(91,1),(92,1),(99,1),(138,1),(139,1)}
       118:{1,4,6}:{(92,1),(93,1),(100,1),(139,1),(140,1)}
       119:{1,5,7}:{(93,1),(94,1),(101,1),(140,1)}
       120:{4,5}:{(95,1),(141,1)}
       121:{3,5,6}:{(95,1),(96,1),(97,1),(141,1),(142,1)}
       122:{3,6,7}:{(96,1),(98,1),(142,1),(143,1),(182,1)}
       123:{2,5,7}:{(97,1),(98,1),(102,1),(136,1),(142,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{2,4,7}:{(100,1),(101,1),(103,1),(140,1),(143,1),(169,1)}
       126:{1,2,4}:{(104,1),(144,1),(145,1),(171,1)}
       127:{1,3,5}:{(104,1),(105,1),(107,1),(144,1),(145,1),(146,1)}
       128:{1,4,6}:{(105,1),(106,1),(108,1),(145,1),(146,1),(147,1)}
       129:{1,5,7}:{(106,1),(109,1),(146,1),(147,1),(154,1),(177,1)}
       130:{2,4}:{(107,1),(110,1),(145,1),(148,1)}
       131:{2,5}:{(108,1),(111,1),(146,1)}
       132:{2,6}:{(109,1),(112,1),(147,1)}
       133:{1,4,5}:{(110,1),(111,1),(120,1),(149,1),(152,1),(183,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(113,1),(121,1),(150,1),(152,1),(153,1),(175,1)}
       135:{1,3,6,7}:{(112,1),(114,1),(122,1),(151,1),(153,1),(156,1)}
       136:{1,5,7}:{(113,1),(114,1),(123,1)}
       137:{1,4}:{(115,1),(116,1),(154,1)}
       138:{2,5}:{(116,1),(117,1),(154,1),(155,1)}
       139:{1,3,6}:{(117,1),(118,1),(124,1),(155,1),(156,1)}
       140:{1,4,7}:{(118,1),(119,1),(125,1),(156,1)}
       141:{4,6}:{(120,1),(121,1),(157,1)}
       142:{3,5,7}:{(121,1),(122,1),(123,1),(157,1)}
       143:{3,7}:{(124,1),(125,1)}
       144:{1,3}:{(126,1),(159,1)}
       145:{1,4}:{(127,1),(130,1)}
       146:{1,5}:{(128,1),(131,1)}
       147:{1,6}:{(129,1),(132,1)}
       148:{3,4}:{(130,1),(164,1)}
       149:{2,4,5}:{(130,1),(131,1),(133,1),(161,1),(164,1),(165,1),(179,1)}
       150:{2,5,6}:{(131,1),(132,1),(134,1),(162,1),(165,1),(166,1)}
       151:{2,6,7}:{(132,1),(135,1),(163,1),(166,1),(169,1)}
       152:{1,4,6}:{(133,1),(134,1),(141,1),(165,1),(167,1),(186,1)}
       153:{1,3,5,7}:{(134,1),(135,1),(136,1),(142,1),(166,1),(167,1),(182,1)}
       154:{1,5}:{(137,1),(138,1),(168,1)}
       155:{2,6}:{(138,1),(139,1),(168,1),(169,1)}
       156:{1,3,7}:{(139,1),(140,1),(143,1),(169,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,2}:{(170,1)}
       159:{2,3}:{(144,1),(170,1),(171,1)}
       160:{1,3,4}:{(144,1),(145,1),(148,1),(171,1),(172,1)}
       161:{1,4,5}:{(145,1),(146,1),(149,1),(172,1),(173,1)}
       162:{1,5,6}:{(146,1),(147,1),(150,1),(173,1),(174,1)}
       163:{1,6,7}:{(147,1),(151,1),(174,1),(177,1)}
       164:{3,5}:{(148,1),(149,1),(175,1)}
       165:{2,4,6}:{(149,1),(150,1),(152,1),(173,1),(175,1),(176,1),(184,1)}
       166:{2,5,7}:{(150,1),(151,1),(153,1),(174,1),(176,1)}
       167:{1,4,7}:{(152,1),(153,1),(157,1),(176,1),(188,1)}
       168:{1,6}:{(154,1),(155,1),(177,1)}
       169:{2,7}:{(155,1),(156,1),(177,1)}
       170:{1,3}:{(158,1),(159,1),(178,1)}
       171:{2,4}:{(159,1),(160,1),(178,1),(179,1)}
       172:{1,3,5}:{(160,1),(161,1),(164,1),(179,1),(180,1)}
       173:{1,4,6}:{(161,1),(162,1),(165,1),(180,1),(181,1)}
       174:{1,5,7}:{(162,1),(163,1),(166,1),(181,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{2,4,7}:{(165,1),(166,1),(167,1),(181,1),(182,1),(187,1)}
       177:{1,7}:{(168,1),(169,1)}
       178:{1,4}:{(170,1),(171,1),(183,1)}
       179:{2,5}:{(171,1),(172,1),(183,1),(184,1)}
       180:{1,3,6}:{(172,1),(173,1),(175,1),(184,1),(185,1)}
       181:{1,4,7}:{(173,1),(174,1),(176,1),(185,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 706 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 707 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 708 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 709 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 710 :   0:{1,2,6,7}:{(2,1),(4,1),(148,1),(233,1),(291,1),(302,1)}
         1:{1,2,5,6}:{(3,1),(4,1),(5,1),(73,1),(125,1),(147,1),(148,1),(207,1),(220,1),(291,1)}
         2:{1,3,6,7}:{(0,1),(8,1),(11,1),(12,1),(107,1),(249,1),(329,1)}
         3:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(15,1),(44,1),(46,1),(87,1),(107,1),(163,1),(249,1),(251,1),(329,1),(388,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(12,1),(14,1),(108,1),(166,1),(190,1),(262,1)}
         5:{1,2,4,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(48,1),(186,1),(256,1),(270,1)}
         6:{1,2,6,7}:{(16,1),(18,1),(205,1),(236,1),(288,1),(302,1)}
         7:{1,2,5,6}:{(17,1),(18,1),(19,1),(77,1),(121,1),(150,1),(204,1),(205,1),(220,1),(236,1)}
         8:{2,3,6,7}:{(2,1),(16,1),(20,1),(21,1),(134,1),(148,1),(205,1),(302,1),(305,1),(364,1)}
         9:{2,3,5,6}:{(3,1),(17,1),(21,1),(22,1),(29,1),(57,1),(60,1),(62,1),(73,1),(121,1),(134,1),(148,1),(205,1),(220,1),(223,1),(297,1),(305,1),(367,1),(371,1)}
        10:{1,2,4,5}:{(5,1),(23,1),(25,1),(66,1),(73,1),(143,1),(207,1),(217,1),(225,1),(228,1),(293,1)}
        11:{1,4,6,7}:{(2,1),(20,1),(24,1),(26,1),(71,1),(362,1)}
        12:{1,3,5,7}:{(2,1),(3,1),(4,1),(21,1),(24,1),(26,1),(28,1),(124,1),(206,1)}
        13:{1,4,6}:{(3,1),(22,1),(25,1),(26,1),(293,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(26,1),(28,1),(74,1),(230,1),(296,1),(309,1)}
        15:{1,3,6}:{(5,1),(23,1),(28,1),(29,1),(297,1)}
        16:{1,3,6,7}:{(6,1),(8,1),(31,1),(32,1),(161,1),(192,1),(278,1)}
        17:{1,3,5,6}:{(7,1),(9,1),(32,1),(33,1),(35,1),(50,1),(81,1),(83,1),(109,1),(161,1),(192,1),(194,1),(278,1),(351,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(32,1),(34,1),(112,1),(162,1),(247,1),(262,1)}
        19:{1,2,4,6}:{(7,1),(30,1),(33,1),(34,1),(35,1),(85,1),(243,1),(256,1),(321,1)}
        20:{2,4,6,7}:{(8,1),(11,1),(31,1),(36,1),(37,1),(39,1),(94,1),(341,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(12,1),(32,1),(37,1),(39,1),(49,1),(86,1),(95,1),(108,1),(162,1),(262,1),(333,1),(389,1)}
        22:{2,4,6}:{(9,1),(13,1),(33,1),(38,1),(39,1),(40,1),(266,1),(392,1)}
        23:{1,3,5}:{(10,1),(15,1),(41,1),(42,1),(260,1),(268,1)}
        24:{1,5,7}:{(11,1),(37,1),(44,1),(388,1)}
        25:{1,4,5}:{(13,1),(38,1),(46,1),(163,1),(388,1)}
        26:{1,4,7}:{(12,1),(13,1),(39,1)}
        27:{1,3,4,6}:{(13,1),(15,1),(40,1),(41,1),(46,1),(47,1),(48,1),(107,1)}
        28:{1,3,7}:{(14,1),(15,1),(49,1),(333,1)}
        29:{2,3,6}:{(15,1),(42,1),(48,1),(49,1),(50,1),(270,1)}
        30:{1,2,4,5}:{(19,1),(51,1),(53,1),(114,1),(121,1),(150,1),(200,1),(217,1),(238,1),(280,1),(283,1)}
        31:{1,4,6,7}:{(16,1),(20,1),(52,1),(54,1),(119,1),(317,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(18,1),(21,1),(52,1),(54,1),(56,1),(76,1),(149,1)}
        33:{1,4,6}:{(17,1),(22,1),(53,1),(54,1),(238,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(54,1),(56,1),(122,1),(285,1),(296,1),(354,1)}
        35:{1,3,6}:{(19,1),(51,1),(56,1),(57,1),(297,1)}
        36:{3,4,6,7}:{(20,1),(58,1),(63,1),(128,1),(134,1),(364,1),(368,1),(408,1)}
        37:{2,5,7}:{(20,1),(24,1),(52,1),(58,1),(60,1),(371,1)}
        38:{2,4,5}:{(22,1),(25,1),(53,1),(62,1),(73,1),(121,1),(371,1),(411,1)}
        39:{2,4,7}:{(21,1),(22,1),(26,1),(54,1),(63,1),(408,1)}
        40:{3,4,6}:{(22,1),(62,1),(63,1),(134,1),(297,1),(301,1)}
        41:{1,3,4}:{(23,1),(66,1),(293,1),(301,1)}
        42:{2,3,5}:{(23,1),(29,1),(66,1),(67,1),(73,1),(228,1),(229,1)}
        43:{1,4,5,6}:{(25,1),(59,1),(69,1),(70,1),(71,1),(204,1),(213,1),(298,1),(316,1),(378,1)}
        44:{1,5,6}:{(24,1),(60,1),(71,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(26,1),(61,1),(71,1),(72,1),(206,1)}
        46:{1,3,5}:{(25,1),(27,1),(62,1),(73,1)}
        47:{1,3,4,7}:{(26,1),(27,1),(28,1),(63,1),(72,1),(74,1)}
        48:{2,4,6}:{(27,1),(29,1),(66,1),(73,1),(74,1),(75,1),(148,1)}
        49:{2,3,7}:{(28,1),(29,1),(74,1),(76,1),(309,1)}
        50:{1,3,6}:{(29,1),(67,1),(75,1),(76,1),(77,1)}
        51:{1,3,5}:{(30,1),(35,1),(78,1),(79,1),(260,1),(319,1)}
        52:{1,5,7}:{(31,1),(37,1),(81,1),(351,1)}
        53:{1,4,5}:{(33,1),(38,1),(83,1),(109,1),(351,1)}
        54:{1,4,7}:{(32,1),(33,1),(39,1)}
        55:{1,3,4,6}:{(33,1),(35,1),(40,1),(78,1),(83,1),(84,1),(85,1),(161,1)}
        56:{1,3,7}:{(34,1),(35,1),(86,1),(333,1)}
        57:{2,3,6}:{(35,1),(79,1),(85,1),(86,1),(87,1),(321,1)}
        58:{3,5,7}:{(36,1),(37,1),(88,1),(89,1),(393,1)}
        59:{2,4,5,6}:{(38,1),(43,1),(80,1),(92,1),(93,1),(94,1),(106,1),(160,1),(169,1),(170,1),(256,1),(257,1),(335,1),(340,1),(392,1),(395,1)}
        60:{2,5,6}:{(37,1),(44,1),(81,1),(88,1),(94,1)}
        61:{2,4,5,7}:{(37,1),(38,1),(39,1),(45,1),(82,1),(89,1),(94,1),(95,1),(108,1),(162,1)}
        62:{3,5}:{(38,1),(40,1)}
        63:{3,4,7}:{(39,1),(40,1),(95,1),(333,1)}
        64:{2,3,4,6}:{(40,1),(48,1),(85,1),(96,1),(97,1),(98,1),(99,1),(153,1),(169,1),(177,1),(181,1),(182,1),(239,1),(266,1),(334,1),(341,1),(346,1),(383,1)}
        65:{1,3,4,5}:{(41,1),(46,1),(90,1),(100,1),(101,1),(173,1),(183,1),(260,1),(274,1),(348,1)}
        66:{2,4}:{(41,1),(42,1),(102,1)}
        67:{1,3,5}:{(42,1),(50,1),(102,1),(103,1),(109,1),(188,1)}
        68:{1,5,6,7}:{(44,1),(91,1),(104,1),(331,1),(400,1)}
        69:{1,4,5,7}:{(43,1),(92,1),(104,1),(105,1),(247,1),(255,1),(331,1)}
        70:{1,3,5,6}:{(43,1),(46,1),(93,1),(100,1),(105,1),(106,1),(107,1),(348,1),(399,1)}
        71:{1,4,6}:{(44,1),(45,1),(94,1),(107,1),(249,1)}
        72:{1,3,5,7}:{(45,1),(46,1),(47,1),(95,1),(107,1),(108,1)}
        73:{2,5}:{(46,1),(48,1),(109,1)}
        74:{2,4,7}:{(47,1),(48,1),(49,1),(108,1),(110,1)}
        75:{1,4,6}:{(48,1),(50,1),(102,1),(109,1),(110,1),(192,1)}
        76:{1,3,7}:{(49,1),(50,1),(110,1),(112,1)}
        77:{1,2,6}:{(50,1),(103,1),(112,1),(270,1)}
        78:{1,3,4}:{(51,1),(114,1),(238,1),(301,1)}
        79:{2,3,5}:{(51,1),(57,1),(114,1),(115,1),(121,1),(283,1),(284,1)}
        80:{1,4,5,6}:{(53,1),(59,1),(117,1),(118,1),(119,1),(147,1),(213,1),(298,1),(361,1),(407,1)}
        81:{1,5,6}:{(52,1),(60,1),(119,1)}
        82:{1,4,5,7}:{(52,1),(53,1),(54,1),(61,1),(119,1),(120,1),(149,1)}
        83:{1,3,5}:{(53,1),(55,1),(62,1),(121,1)}
        84:{1,3,4,7}:{(54,1),(55,1),(56,1),(63,1),(120,1),(122,1)}
        85:{2,4,6}:{(55,1),(57,1),(114,1),(121,1),(122,1),(123,1),(205,1)}
        86:{2,3,7}:{(56,1),(57,1),(122,1),(124,1),(354,1)}
        87:{1,3,6}:{(57,1),(115,1),(123,1),(124,1),(125,1)}
        88:{3,5,6}:{(58,1),(60,1),(128,1),(134,1)}
        89:{4,5,7}:{(58,1),(128,1),(408,1),(411,1)}
        90:{3,4,5}:{(62,1),(127,1),(130,1),(301,1),(366,1),(411,1)}
        91:{2,5,6,7}:{(60,1),(68,1),(116,1),(126,1),(131,1),(294,1),(363,1),(412,1)}
        92:{2,4,5,7}:{(59,1),(69,1),(117,1),(131,1),(132,1),(146,1),(203,1),(210,1),(212,1),(294,1),(296,1),(363,1),(408,1)}
        93:{3,5,6}:{(59,1),(62,1),(127,1),(132,1),(134,1),(297,1),(366,1),(410,1)}
        94:{2,4,6}:{(60,1),(61,1),(71,1),(119,1),(128,1),(134,1),(148,1),(205,1)}
        95:{3,5,7}:{(61,1),(62,1),(63,1),(134,1)}
        96:{2,3,5}:{(62,1),(64,1),(73,1),(121,1),(130,1),(136,1),(366,1),(371,1),(375,1),(404,1)}
        97:{2,3,4,7}:{(63,1),(64,1),(74,1),(122,1),(135,1),(137,1),(212,1),(224,1),(226,1),(281,1),(306,1),(365,1),(374,1),(403,1)}
        98:{1,3,4,6}:{(64,1),(75,1),(123,1),(136,1),(137,1),(138,1),(140,1),(152,1),(197,1),(209,1),(213,1),(221,1),(227,1),(238,1),(282,1),(293,1),(297,1),(301,1),(317,1),(362,1),(368,1),(373,1),(402,1)}
        99:{2,3,4}:{(66,1),(139,1),(140,1),(229,1),(301,1),(311,1)}
       100:{1,3,4,6}:{(65,1),(70,1),(127,1),(141,1),(142,1),(213,1),(227,1),(297,1)}
       101:{2,4,5}:{(65,1),(66,1),(73,1),(139,1),(142,1),(143,1),(228,1),(311,1),(375,1)}
       102:{1,4}:{(66,1),(67,1)}
       103:{1,2,5}:{(67,1),(77,1),(144,1),(228,1)}
       104:{1,4,6,7}:{(68,1),(69,1),(71,1),(131,1),(145,1),(288,1),(378,1)}
       105:{1,3,5,7}:{(69,1),(70,1),(132,1),(141,1),(145,1),(146,1)}
       106:{2,5,6}:{(70,1),(73,1),(142,1),(146,1),(147,1),(148,1),(375,1),(414,1)}
       107:{1,3,6}:{(71,1),(72,1),(134,1),(148,1)}
       108:{2,5,7}:{(72,1),(73,1),(74,1),(148,1),(149,1)}
       109:{1,5}:{(73,1),(75,1)}
       110:{1,4,7}:{(74,1),(75,1),(76,1),(149,1)}
       111:{1,2,4,6}:{(75,1),(77,1),(138,1),(144,1),(150,1),(151,1),(152,1),(236,1),(238,1),(280,1),(317,1),(352,1),(402,1)}
       112:{1,2,7}:{(76,1),(77,1),(309,1)}
       113:{1,3,4,5}:{(78,1),(83,1),(90,1),(154,1),(155,1),(173,1),(240,1),(260,1),(325,1),(385,1)}
       114:{2,4}:{(78,1),(79,1),(156,1)}
       115:{1,3,5}:{(79,1),(87,1),(156,1),(157,1),(163,1),(245,1)}
       116:{1,5,6,7}:{(81,1),(91,1),(158,1),(331,1),(419,1)}
       117:{1,4,5,7}:{(80,1),(92,1),(158,1),(159,1),(190,1),(255,1),(331,1)}
       118:{1,3,5,6}:{(80,1),(83,1),(93,1),(154,1),(159,1),(160,1),(161,1),(385,1),(418,1)}
       119:{1,4,6}:{(81,1),(82,1),(94,1),(161,1),(192,1)}
       120:{1,3,5,7}:{(82,1),(83,1),(84,1),(95,1),(161,1),(162,1)}
       121:{2,5}:{(83,1),(85,1),(163,1)}
       122:{2,4,7}:{(84,1),(85,1),(86,1),(162,1),(164,1)}
       123:{1,4,6}:{(85,1),(87,1),(156,1),(163,1),(164,1),(249,1)}
       124:{1,3,7}:{(86,1),(87,1),(164,1),(166,1)}
       125:{1,2,6}:{(87,1),(157,1),(166,1),(321,1)}
       126:{3,5,6,7}:{(88,1),(91,1),(167,1),(174,1),(253,1),(389,1),(421,1)}
       127:{3,4,6}:{(90,1),(93,1),(168,1),(169,1),(392,1)}
       128:{4,6}:{(88,1),(89,1)}
       129:{3,4,5,7}:{(89,1),(90,1),(95,1),(168,1),(171,1),(172,1),(253,1),(337,1),(391,1),(393,1),(420,1)}
       130:{2,4,5}:{(90,1),(96,1),(169,1),(173,1),(266,1)}
       131:{2,4,6,7}:{(91,1),(92,1),(94,1),(104,1),(158,1),(167,1),(174,1),(189,1),(246,1),(395,1)}
       132:{3,5,7}:{(92,1),(93,1),(168,1),(174,1),(333,1)}
       133:{2,3,5,6}:{(93,1),(96,1),(106,1),(160,1),(169,1),(175,1),(176,1),(177,1),(182,1),(239,1),(257,1)}
       134:{3,6}:{(94,1),(95,1)}
       135:{2,3,5,7}:{(95,1),(96,1),(97,1),(108,1),(162,1),(172,1),(177,1),(178,1),(391,1),(398,1),(417,1)}
       136:{1,3,5}:{(96,1),(98,1),(109,1),(163,1),(173,1),(179,1),(260,1),(351,1),(388,1),(393,1),(397,1),(416,1)}
       137:{1,3,4,7}:{(97,1),(98,1),(110,1),(164,1),(178,1),(180,1),(195,1),(252,1),(255,1),(269,1),(279,1),(320,1),(330,1),(333,1),(337,1),(396,1),(415,1)}
       138:{2,4,6}:{(98,1),(179,1),(180,1),(181,1),(184,1),(241,1),(264,1),(266,1),(270,1),(321,1)}
       139:{2,3,5}:{(99,1),(101,1),(182,1),(183,1),(260,1)}
       140:{1,3,4}:{(99,1),(102,1),(183,1),(184,1),(188,1),(268,1),(344,1)}
       141:{1,3,4,7}:{(100,1),(105,1),(168,1),(185,1),(255,1),(269,1),(333,1)}
       142:{2,4,6}:{(100,1),(101,1),(106,1),(182,1),(185,1),(186,1),(270,1)}
       143:{1,4,5}:{(101,1),(102,1),(109,1),(183,1),(186,1),(344,1),(397,1)}
       144:{1,2,4}:{(102,1),(103,1),(184,1),(188,1)}
       145:{1,3,6,7}:{(104,1),(105,1),(107,1),(174,1),(189,1),(399,1)}
       146:{2,5,7}:{(105,1),(106,1),(185,1),(189,1),(190,1)}
       147:{1,5,6}:{(106,1),(109,1),(186,1),(190,1),(192,1),(397,1),(422,1)}
       148:{2,6}:{(107,1),(108,1),(192,1)}
       149:{1,5,7}:{(108,1),(109,1),(110,1),(192,1)}
       150:{1,2,5}:{(109,1),(111,1),(179,1),(194,1),(351,1),(416,1)}
       151:{1,2,4,7}:{(110,1),(111,1),(112,1),(180,1),(193,1),(195,1),(279,1),(379,1),(415,1)}
       152:{1,3,6}:{(111,1),(181,1),(188,1),(194,1),(195,1),(319,1)}
       153:{2,3,4}:{(114,1),(196,1),(197,1),(284,1),(301,1),(356,1)}
       154:{1,3,4,6}:{(113,1),(118,1),(127,1),(198,1),(199,1),(213,1),(282,1),(297,1)}
       155:{2,4,5}:{(113,1),(114,1),(121,1),(196,1),(199,1),(200,1),(283,1),(356,1),(404,1)}
       156:{1,4}:{(114,1),(115,1)}
       157:{1,2,5}:{(115,1),(125,1),(201,1),(283,1)}
       158:{1,4,6,7}:{(116,1),(117,1),(119,1),(131,1),(202,1),(233,1),(407,1)}
       159:{1,3,5,7}:{(117,1),(118,1),(132,1),(198,1),(202,1),(203,1)}
       160:{2,5,6}:{(118,1),(121,1),(199,1),(203,1),(204,1),(205,1),(404,1),(424,1)}
       161:{1,3,6}:{(119,1),(120,1),(134,1),(205,1)}
       162:{2,5,7}:{(120,1),(121,1),(122,1),(205,1),(206,1)}
       163:{1,5}:{(121,1),(123,1)}
       164:{1,4,7}:{(122,1),(123,1),(124,1),(206,1)}
       165:{1,2,4,6}:{(123,1),(125,1),(138,1),(201,1),(207,1),(208,1),(209,1),(225,1),(291,1),(293,1),(307,1),(362,1),(373,1)}
       166:{1,2,7}:{(124,1),(125,1),(354,1)}
       167:{4,6,7}:{(126,1),(128,1),(210,1),(408,1),(425,1)}
       168:{3,4,7}:{(127,1),(132,1),(212,1),(408,1)}
       169:{2,4,6}:{(127,1),(130,1),(133,1),(212,1),(213,1)}
       170:{4,5,6}:{(128,1),(210,1),(214,1),(411,1),(425,1)}
       171:{3,4,6}:{(128,1),(129,1),(134,1),(214,1),(215,1),(410,1),(425,1)}
       172:{2,4,5,7}:{(129,1),(130,1),(135,1),(212,1),(215,1),(216,1),(294,1),(306,1),(371,1)}
       173:{1,4,5}:{(130,1),(136,1),(213,1),(217,1),(238,1),(293,1),(411,1)}
       174:{3,6,7}:{(131,1),(132,1),(134,1),(410,1)}
       175:{2,3,5,7}:{(132,1),(133,1),(146,1),(203,1),(212,1),(218,1),(219,1),(226,1),(281,1),(294,1)}
       176:{1,3,5,6}:{(133,1),(136,1),(147,1),(204,1),(213,1),(219,1),(220,1),(221,1),(227,1),(282,1),(297,1),(298,1),(367,1)}
       177:{2,3,6}:{(134,1),(135,1),(148,1),(205,1),(215,1),(221,1),(410,1),(414,1),(424,1)}
       178:{1,3,5,7}:{(135,1),(136,1),(137,1),(149,1),(206,1),(216,1),(221,1),(222,1),(300,1),(413,1),(423,1)}
       179:{2,5}:{(136,1),(138,1)}
       180:{2,4,7}:{(137,1),(138,1),(222,1),(224,1),(309,1),(354,1)}
       181:{2,3,6}:{(138,1),(152,1),(209,1),(223,1),(224,1),(229,1),(284,1),(297,1)}
       182:{2,3,6}:{(139,1),(142,1),(226,1),(227,1),(297,1)}
       183:{1,3,5}:{(139,1),(140,1),(143,1),(227,1),(228,1)}
       184:{2,4}:{(140,1),(228,1),(229,1)}
       185:{2,4,7}:{(141,1),(142,1),(146,1),(226,1),(230,1),(309,1)}
       186:{1,4,6}:{(142,1),(143,1),(147,1),(227,1),(230,1)}
       187:{1,2,4,5}:{(143,1),(144,1),(150,1),(217,1),(228,1),(231,1),(232,1),(238,1),(311,1),(316,1),(375,1)}
       188:{1,3}:{(144,1),(229,1)}
       189:{2,6,7}:{(145,1),(146,1),(148,1),(233,1),(414,1)}
       190:{1,5,7}:{(146,1),(147,1),(230,1),(233,1)}
       191:{1,2,5,6}:{(147,1),(150,1),(220,1),(231,1),(234,1),(235,1),(236,1),(352,1),(375,1),(414,1)}
       192:{1,6}:{(148,1),(149,1)}
       193:{1,2,5,7}:{(149,1),(150,1),(151,1),(222,1),(236,1),(237,1),(423,1)}
       194:{1,3,5}:{(150,1),(152,1),(223,1),(238,1)}
       195:{1,3,7}:{(151,1),(152,1),(224,1)}
       196:{2,3,5}:{(153,1),(155,1),(239,1),(240,1),(260,1)}
       197:{1,3,4}:{(153,1),(156,1),(240,1),(241,1),(245,1),(319,1),(381,1)}
       198:{1,3,4,7}:{(154,1),(159,1),(168,1),(242,1),(255,1),(320,1),(333,1)}
       199:{2,4,6}:{(154,1),(155,1),(160,1),(239,1),(242,1),(243,1),(321,1)}
       200:{1,4,5}:{(155,1),(156,1),(163,1),(240,1),(243,1),(381,1),(416,1)}
       201:{1,2,4}:{(156,1),(157,1),(241,1),(245,1)}
       202:{1,3,6,7}:{(158,1),(159,1),(161,1),(174,1),(246,1),(418,1)}
       203:{2,5,7}:{(159,1),(160,1),(242,1),(246,1),(247,1)}
       204:{1,5,6}:{(160,1),(163,1),(243,1),(247,1),(249,1),(416,1),(426,1)}
       205:{2,6}:{(161,1),(162,1),(249,1)}
       206:{1,5,7}:{(162,1),(163,1),(164,1),(249,1)}
       207:{1,2,5}:{(163,1),(165,1),(179,1),(251,1),(388,1),(397,1)}
       208:{1,2,4,7}:{(164,1),(165,1),(166,1),(180,1),(250,1),(252,1),(330,1),(342,1),(396,1)}
       209:{1,3,6}:{(165,1),(181,1),(245,1),(251,1),(252,1),(268,1)}
       210:{4,5,7}:{(167,1),(170,1),(253,1)}
       211:{3,4,6,7}:{(167,1),(168,1),(171,1),(174,1),(253,1),(254,1)}
       212:{2,4,7}:{(168,1),(169,1),(175,1),(255,1)}
       213:{1,4,6}:{(169,1),(173,1),(176,1),(255,1),(256,1),(392,1)}
       214:{3,5,6}:{(170,1),(171,1),(253,1),(257,1),(393,1)}
       215:{2,4,6}:{(171,1),(172,1),(177,1),(257,1),(258,1)}
       216:{1,4,5,7}:{(172,1),(173,1),(178,1),(255,1),(258,1),(259,1),(279,1),(330,1),(331,1),(351,1),(388,1)}
       217:{2,4,5}:{(173,1),(179,1),(256,1),(260,1),(266,1)}
       218:{2,3,6,7}:{(174,1),(175,1),(177,1),(189,1),(246,1),(254,1),(261,1)}
       219:{1,3,5,7}:{(175,1),(176,1),(190,1),(247,1),(255,1),(261,1),(262,1),(269,1),(320,1),(331,1),(333,1),(389,1)}
       220:{2,5,6}:{(176,1),(179,1),(256,1),(262,1),(264,1),(270,1),(321,1)}
       221:{1,3,6}:{(177,1),(178,1),(192,1),(249,1),(258,1),(264,1),(336,1),(422,1),(426,1)}
       222:{2,5,7}:{(178,1),(179,1),(180,1),(264,1)}
       223:{2,3,5}:{(179,1),(181,1),(194,1),(251,1),(260,1),(266,1)}
       224:{2,3,7}:{(180,1),(181,1),(195,1),(252,1),(333,1)}
       225:{1,2,4}:{(184,1),(267,1),(268,1),(344,1)}
       226:{2,3,7}:{(182,1),(185,1),(269,1),(333,1)}
       227:{1,3,6}:{(182,1),(183,1),(186,1),(269,1),(270,1)}
       228:{2,5}:{(183,1),(184,1),(270,1)}
       229:{2,3}:{(184,1),(188,1),(268,1)}
       230:{1,4,7}:{(185,1),(186,1),(190,1),(269,1)}
       231:{1,2,4,6}:{(186,1),(187,1),(191,1),(256,1),(270,1),(272,1),(273,1),(277,1),(346,1)}
       232:{1,3,5}:{(187,1),(188,1),(260,1),(271,1),(273,1),(274,1)}
       233:{1,6,7}:{(189,1),(190,1),(192,1),(422,1)}
       234:{1,2,5,7}:{(190,1),(191,1),(262,1),(272,1),(275,1),(276,1),(379,1),(398,1)}
       235:{1,3,5,6}:{(191,1),(194,1),(263,1),(273,1),(276,1),(277,1),(278,1),(348,1),(351,1),(380,1),(399,1),(400,1),(416,1),(426,1)}
       236:{1,2,6}:{(192,1),(193,1),(264,1),(278,1),(426,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(195,1),(265,1),(278,1),(279,1),(351,1)}
       238:{1,4}:{(194,1),(266,1)}
       239:{2,3,6}:{(196,1),(199,1),(281,1),(282,1),(297,1)}
       240:{1,3,5}:{(196,1),(197,1),(200,1),(282,1),(283,1)}
       241:{2,4}:{(197,1),(283,1),(284,1)}
       242:{2,4,7}:{(198,1),(199,1),(203,1),(281,1),(285,1),(354,1)}
       243:{1,4,6}:{(199,1),(200,1),(204,1),(282,1),(285,1)}
       244:{1,2,4,5}:{(200,1),(201,1),(207,1),(217,1),(283,1),(286,1),(287,1),(293,1),(356,1),(361,1),(404,1)}
       245:{1,3}:{(201,1),(284,1)}
       246:{2,6,7}:{(202,1),(203,1),(205,1),(288,1),(424,1)}
       247:{1,5,7}:{(203,1),(204,1),(285,1),(288,1)}
       248:{1,2,5,6}:{(204,1),(207,1),(220,1),(286,1),(289,1),(290,1),(291,1),(307,1),(404,1),(424,1)}
       249:{1,6}:{(205,1),(206,1)}
       250:{1,2,5,7}:{(206,1),(207,1),(208,1),(222,1),(291,1),(292,1),(413,1)}
       251:{1,3,5}:{(207,1),(209,1),(223,1),(293,1)}
       252:{1,3,7}:{(208,1),(209,1),(224,1)}
       253:{3,5,7}:{(210,1),(211,1),(214,1),(294,1)}
       254:{2,4,6,7}:{(211,1),(212,1),(215,1),(218,1),(294,1),(295,1)}
       255:{1,4,7}:{(212,1),(213,1),(219,1),(296,1),(408,1)}
       256:{2,4,6}:{(213,1),(217,1),(220,1),(296,1),(297,1)}
       257:{2,5,6}:{(214,1),(215,1),(294,1),(298,1),(371,1)}
       258:{1,4,6}:{(215,1),(216,1),(221,1),(298,1),(299,1)}
       259:{2,4,5,7}:{(216,1),(217,1),(222,1),(296,1),(299,1),(300,1),(306,1),(363,1),(371,1),(408,1),(411,1)}
       260:{3,5}:{(217,1),(297,1),(301,1)}
       261:{1,3,6,7}:{(218,1),(219,1),(221,1),(233,1),(288,1),(295,1),(302,1),(364,1)}
       262:{2,5,7}:{(219,1),(220,1),(296,1),(302,1),(309,1),(354,1)}
       263:{2,3,5,6}:{(220,1),(223,1),(235,1),(290,1),(297,1),(303,1),(304,1),(305,1),(310,1),(355,1),(366,1),(367,1),(371,1),(375,1),(404,1),(410,1),(412,1),(414,1),(424,1)}
       264:{2,6}:{(221,1),(222,1)}
       265:{2,3,5,7}:{(222,1),(223,1),(224,1),(237,1),(292,1),(300,1),(305,1),(306,1),(371,1)}
       266:{2,4}:{(223,1),(238,1),(293,1),(301,1)}
       267:{1,2,5}:{(225,1),(228,1),(307,1),(308,1)}
       268:{1,3}:{(225,1),(229,1)}
       269:{1,3,7}:{(226,1),(227,1),(230,1),(309,1)}
       270:{2,6}:{(227,1),(228,1),(309,1)}
       271:{2,3,5}:{(228,1),(229,1),(232,1),(308,1),(310,1),(311,1),(375,1)}
       272:{1,2,4,7}:{(230,1),(231,1),(234,1),(296,1),(309,1),(312,1),(315,1),(374,1)}
       273:{1,3,6}:{(231,1),(232,1),(297,1),(310,1),(312,1)}
       274:{1,3,4}:{(232,1),(238,1),(301,1),(311,1)}
       275:{1,2,6,7}:{(233,1),(234,1),(236,1),(302,1),(314,1),(414,1)}
       276:{1,3,5,7}:{(234,1),(235,1),(303,1),(312,1),(314,1),(315,1),(377,1),(401,1),(423,1)}
       277:{1,4,6}:{(235,1),(238,1),(304,1),(315,1),(316,1)}
       278:{1,3,6}:{(236,1),(237,1),(305,1),(317,1)}
       279:{1,4,7}:{(237,1),(238,1),(306,1),(317,1)}
       280:{1,2,4}:{(241,1),(318,1),(319,1),(381,1)}
       281:{2,3,7}:{(239,1),(242,1),(320,1),(333,1)}
       282:{1,3,6}:{(239,1),(240,1),(243,1),(320,1),(321,1)}
       283:{2,5}:{(240,1),(241,1),(321,1)}
       284:{2,3}:{(241,1),(245,1),(319,1)}
       285:{1,4,7}:{(242,1),(243,1),(247,1),(320,1)}
       286:{1,2,4,6}:{(243,1),(244,1),(248,1),(256,1),(321,1),(323,1),(324,1),(328,1),(383,1)}
       287:{1,3,5}:{(244,1),(245,1),(260,1),(322,1),(324,1),(325,1)}
       288:{1,6,7}:{(246,1),(247,1),(249,1),(426,1)}
       289:{1,2,5,7}:{(247,1),(248,1),(262,1),(323,1),(326,1),(327,1),(342,1),(417,1)}
       290:{1,3,5,6}:{(248,1),(251,1),(263,1),(324,1),(327,1),(328,1),(329,1),(343,1),(385,1),(388,1),(397,1),(418,1),(419,1),(422,1)}
       291:{1,2,6}:{(249,1),(250,1),(264,1),(329,1),(422,1)}
       292:{1,3,5,7}:{(250,1),(251,1),(252,1),(265,1),(329,1),(330,1),(388,1)}
       293:{1,4}:{(251,1),(266,1)}
       294:{2,5,7}:{(253,1),(254,1),(257,1),(331,1)}
       295:{1,4,6,7}:{(254,1),(255,1),(258,1),(261,1),(331,1),(332,1)}
       296:{2,4,7}:{(255,1),(256,1),(262,1),(333,1)}
       297:{3,6}:{(256,1),(260,1),(333,1)}
       298:{1,5,6}:{(257,1),(258,1),(331,1),(335,1),(351,1),(388,1)}
       299:{2,4,6}:{(258,1),(259,1),(264,1),(335,1),(336,1),(392,1)}
       300:{3,5,7}:{(259,1),(260,1),(333,1),(336,1),(337,1),(393,1)}
       301:{3,4}:{(260,1),(266,1)}
       302:{2,6,7}:{(261,1),(262,1),(264,1)}
       303:{2,3,5,7}:{(262,1),(263,1),(276,1),(327,1),(333,1),(338,1),(339,1),(345,1),(382,1),(389,1),(391,1),(394,1),(398,1),(417,1)}
       304:{2,4,6}:{(263,1),(266,1),(277,1),(328,1),(334,1),(339,1),(340,1),(392,1)}
       305:{2,3,6}:{(264,1),(265,1),(278,1),(329,1),(336,1),(341,1)}
       306:{2,4,7}:{(265,1),(266,1),(279,1),(330,1),(337,1),(341,1)}
       307:{1,2,6}:{(267,1),(270,1),(342,1),(343,1)}
       308:{1,3,5}:{(267,1),(268,1),(271,1),(343,1),(344,1),(397,1)}
       309:{2,7}:{(269,1),(270,1)}
       310:{2,3,6}:{(270,1),(271,1),(273,1),(343,1),(345,1),(346,1)}
       311:{2,4}:{(271,1),(274,1),(344,1)}
       312:{1,3,7}:{(272,1),(273,1),(333,1),(345,1)}
       313:{1,3,4,6}:{(273,1),(274,1),(277,1),(334,1),(346,1),(347,1),(348,1),(399,1)}
       314:{1,3,6,7}:{(275,1),(276,1),(278,1),(338,1),(349,1),(399,1),(426,1)}
       315:{1,4,7}:{(276,1),(277,1),(339,1)}
       316:{1,4,5}:{(277,1),(340,1),(348,1),(351,1),(416,1)}
       317:{1,4,6}:{(278,1),(279,1),(341,1),(351,1)}
       318:{1,2,5}:{(280,1),(283,1),(352,1),(353,1)}
       319:{1,3}:{(280,1),(284,1)}
       320:{1,3,7}:{(281,1),(282,1),(285,1),(354,1)}
       321:{2,6}:{(282,1),(283,1),(354,1)}
       322:{2,3,5}:{(283,1),(284,1),(287,1),(353,1),(355,1),(356,1),(404,1)}
       323:{1,2,4,7}:{(285,1),(286,1),(289,1),(296,1),(354,1),(357,1),(360,1),(403,1)}
       324:{1,3,6}:{(286,1),(287,1),(297,1),(355,1),(357,1)}
       325:{1,3,4}:{(287,1),(293,1),(301,1),(356,1)}
       326:{1,2,6,7}:{(288,1),(289,1),(291,1),(302,1),(359,1),(424,1)}
       327:{1,3,5,7}:{(289,1),(290,1),(303,1),(357,1),(359,1),(360,1),(372,1),(406,1),(413,1)}
       328:{1,4,6}:{(290,1),(293,1),(304,1),(360,1),(361,1)}
       329:{1,3,6}:{(291,1),(292,1),(305,1),(362,1)}
       330:{1,4,7}:{(292,1),(293,1),(306,1),(362,1)}
       331:{1,5,7}:{(294,1),(295,1),(298,1),(363,1)}
       332:{2,4,6,7}:{(295,1),(296,1),(299,1),(302,1),(363,1),(364,1),(408,1)}
       333:{3,7}:{(296,1),(297,1)}
       334:{3,4,6}:{(297,1),(301,1),(304,1),(365,1),(366,1),(410,1)}
       335:{2,5,6}:{(298,1),(299,1),(363,1),(367,1),(371,1)}
       336:{3,6}:{(299,1),(300,1)}
       337:{3,4,7}:{(300,1),(301,1),(306,1),(368,1),(408,1)}
       338:{2,3,6,7}:{(302,1),(303,1),(305,1),(314,1),(359,1),(364,1),(369,1),(410,1),(414,1),(424,1)}
       339:{2,4,7}:{(303,1),(304,1),(315,1),(360,1),(365,1),(408,1)}
       340:{2,4,5}:{(304,1),(316,1),(361,1),(366,1),(371,1),(375,1),(404,1),(411,1)}
       341:{2,4,6}:{(305,1),(306,1),(317,1),(362,1),(368,1),(371,1)}
       342:{1,2,7}:{(307,1),(309,1),(372,1)}
       343:{1,3,6}:{(307,1),(308,1),(310,1),(372,1),(373,1)}
       344:{1,4}:{(308,1),(311,1)}
       345:{2,3,7}:{(309,1),(310,1),(312,1),(372,1),(374,1)}
       346:{2,4,6}:{(310,1),(311,1),(313,1),(373,1),(374,1),(375,1),(414,1)}
       347:{1,3,4,7}:{(312,1),(313,1),(315,1),(365,1),(374,1),(376,1)}
       348:{1,3,5}:{(313,1),(316,1),(366,1),(375,1)}
       349:{1,4,6,7}:{(314,1),(315,1),(317,1),(369,1),(377,1),(378,1)}
       350:{1,4,5,7}:{(315,1),(316,1),(370,1),(376,1),(377,1),(378,1),(423,1)}
       351:{1,5}:{(317,1),(371,1)}
       352:{1,2,6}:{(318,1),(321,1),(379,1),(380,1)}
       353:{1,3,5}:{(318,1),(319,1),(322,1),(380,1),(381,1),(416,1)}
       354:{2,7}:{(320,1),(321,1)}
       355:{2,3,6}:{(321,1),(322,1),(324,1),(380,1),(382,1),(383,1)}
       356:{2,4}:{(322,1),(325,1),(381,1)}
       357:{1,3,7}:{(323,1),(324,1),(333,1),(382,1)}
       358:{1,3,4,6}:{(324,1),(325,1),(328,1),(334,1),(383,1),(384,1),(385,1),(418,1)}
       359:{1,3,6,7}:{(326,1),(327,1),(329,1),(338,1),(386,1),(418,1),(422,1)}
       360:{1,4,7}:{(327,1),(328,1),(339,1)}
       361:{1,4,5}:{(328,1),(340,1),(385,1),(388,1),(397,1)}
       362:{1,4,6}:{(329,1),(330,1),(341,1),(388,1)}
       363:{2,5,7}:{(331,1),(332,1),(335,1),(389,1)}
       364:{3,6,7}:{(332,1),(333,1),(336,1),(389,1)}
       365:{3,4,7}:{(333,1),(334,1),(339,1),(391,1)}
       366:{3,5}:{(334,1),(340,1)}
       367:{3,5,6}:{(335,1),(336,1),(389,1),(392,1),(393,1)}
       368:{3,4,6}:{(336,1),(337,1),(341,1),(392,1),(393,1)}
       369:{2,4,6,7}:{(338,1),(339,1),(341,1),(349,1),(386,1),(390,1),(394,1),(395,1)}
       370:{2,4,5,7}:{(339,1),(340,1),(350,1),(387,1),(391,1),(394,1),(395,1),(398,1),(417,1),(420,1)}
       371:{2,5}:{(341,1),(351,1),(388,1),(393,1)}
       372:{1,3,7}:{(342,1),(343,1),(345,1),(396,1)}
       373:{1,4,6}:{(343,1),(344,1),(346,1),(396,1),(397,1),(422,1)}
       374:{2,4,7}:{(345,1),(346,1),(347,1),(396,1),(398,1)}
       375:{2,5}:{(346,1),(348,1),(397,1)}
       376:{1,3,5,7}:{(347,1),(348,1),(350,1),(391,1),(398,1),(399,1)}
       377:{1,5,7}:{(349,1),(351,1),(394,1),(400,1)}
       378:{1,4,6}:{(350,1),(395,1),(399,1),(400,1),(426,1)}
       379:{1,2,7}:{(352,1),(354,1),(401,1)}
       380:{1,3,6}:{(352,1),(353,1),(355,1),(401,1),(402,1)}
       381:{1,4}:{(353,1),(356,1)}
       382:{2,3,7}:{(354,1),(355,1),(357,1),(401,1),(403,1)}
       383:{2,4,6}:{(355,1),(356,1),(358,1),(402,1),(403,1),(404,1),(424,1)}
       384:{1,3,4,7}:{(357,1),(358,1),(360,1),(365,1),(403,1),(405,1)}
       385:{1,3,5}:{(358,1),(361,1),(366,1),(404,1)}
       386:{1,4,6,7}:{(359,1),(360,1),(362,1),(369,1),(406,1),(407,1)}
       387:{1,4,5,7}:{(360,1),(361,1),(370,1),(405,1),(406,1),(407,1),(413,1)}
       388:{1,5}:{(362,1),(371,1)}
       389:{3,5,7}:{(363,1),(364,1),(367,1),(408,1)}
       390:{3,4,6,7}:{(364,1),(365,1),(368,1),(369,1),(408,1),(409,1),(410,1),(425,1)}
       391:{3,5,7}:{(365,1),(366,1),(370,1),(410,1)}
       392:{4,6}:{(367,1),(408,1),(411,1)}
       393:{3,5}:{(368,1),(371,1),(411,1)}
       394:{2,5,7}:{(369,1),(371,1),(377,1),(406,1),(409,1),(412,1)}
       395:{2,4,6}:{(370,1),(378,1),(407,1),(410,1),(412,1),(414,1),(424,1),(425,1)}
       396:{1,4,7}:{(372,1),(373,1),(374,1),(413,1)}
       397:{1,5}:{(373,1),(375,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(378,1),(410,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(412,1)}
       401:{1,3,7}:{(379,1),(380,1),(382,1),(415,1)}
       402:{1,4,6}:{(380,1),(381,1),(383,1),(415,1),(416,1),(426,1)}
       403:{2,4,7}:{(382,1),(383,1),(384,1),(415,1),(417,1)}
       404:{2,5}:{(383,1),(385,1),(416,1)}
       405:{1,3,5,7}:{(384,1),(385,1),(387,1),(391,1),(417,1),(418,1)}
       406:{1,5,7}:{(386,1),(388,1),(394,1),(419,1)}
       407:{1,4,6}:{(387,1),(395,1),(418,1),(419,1),(422,1)}
       408:{4,7}:{(389,1),(392,1)}
       409:{3,5,7}:{(390,1),(393,1),(394,1),(420,1),(421,1)}
       410:{3,6}:{(391,1),(395,1)}
       411:{4,5}:{(392,1),(393,1)}
       412:{2,5,6}:{(394,1),(395,1),(400,1),(419,1),(421,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,4,7}:{(401,1),(402,1),(403,1),(423,1)}
       416:{1,5}:{(402,1),(404,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(407,1),(410,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(412,1)}
       420:{4,5,7}:{(408,1),(409,1),(411,1),(425,1)}
       421:{3,5,6}:{(409,1),(410,1),(412,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 711 :   0:{1,4,5,6,7}:{(1,1),(2,1),(25,1),(29,1),(79,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(14,1),(16,1),(46,1),(97,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(108,1)}
         3:{1,4,5,6,7}:{(1,1),(7,1),(12,1),(29,1),(119,1)}
         4:{3,5,6,7}:{(1,1),(8,1),(68,1),(129,1)}
         5:{1,3,4,6,7}:{(2,1),(8,1),(10,1),(11,1),(29,1),(34,1),(68,1)}
         6:{2,5,6,7}:{(2,1),(11,1),(12,1),(142,1)}
         7:{1,3,5,6,7}:{(3,1),(4,1),(13,1),(14,1),(154,1)}
         8:{3,4,6,7}:{(4,1),(15,1),(16,1)}
         9:{2,3,5,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(20,1),(39,1),(43,1)}
        10:{1,3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(44,1),(51,1),(93,1),(105,1),(108,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(19,1),(20,1),(21,1),(53,1)}
        12:{1,5,6,7}:{(6,1),(21,1),(180,1)}
        13:{1,3,4,6,7}:{(7,1),(8,1),(23,1),(24,1),(29,1),(59,1),(68,1)}
        14:{2,5,6,7}:{(7,1),(24,1),(25,1),(193,1)}
        15:{3,4,5,7}:{(8,1),(26,1),(27,1),(129,1),(274,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(29,1)}
        17:{1,3,5,6,7}:{(9,1),(12,1),(25,1),(29,1),(30,1),(34,1),(59,1),(65,1),(68,1)}
        18:{1,3,4,5,6}:{(10,1),(26,1),(31,1),(63,1),(71,1),(122,1),(135,1),(143,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(33,1),(74,1),(139,1),(142,1)}
        20:{2,3,6,7}:{(11,1),(32,1),(34,1),(68,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(33,1),(34,1)}
        22:{1,2,5,6,7}:{(12,1),(30,1),(35,1),(36,1),(116,1),(124,1),(142,1),(220,1),(277,1)}
        23:{1,3,4,5,7}:{(13,1),(15,1),(37,1),(38,1),(44,1),(83,1),(93,1),(151,1),(154,1)}
        24:{2,4,6,7}:{(13,1),(14,1),(38,1),(39,1),(40,1),(85,1)}
        25:{1,5,6,7}:{(14,1),(40,1),(232,1)}
        26:{3,4,5,6}:{(15,1),(42,1),(168,1),(296,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(42,1),(43,1),(44,1),(241,1)}
        28:{2,3,4,6,7}:{(16,1),(20,1),(39,1),(43,1),(45,1),(50,1),(82,1),(88,1),(96,1),(107,1),(153,1),(165,1),(241,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(46,1)}
        30:{2,5,6,7}:{(17,1),(46,1),(53,1),(85,1),(92,1)}
        31:{2,4,5,6}:{(18,1),(19,1),(48,1),(49,1),(100,1),(173,1),(181,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(48,1),(50,1),(51,1),(93,1)}
        33:{1,4,5,7}:{(19,1),(21,1),(49,1),(51,1),(177,1),(180,1)}
        34:{1,3,6,7}:{(20,1),(21,1),(51,1),(53,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(46,1),(52,1),(53,1),(54,1),(55,1),(107,1),(255,1),(299,1),(302,1)}
        36:{1,3,5,6,7}:{(22,1),(47,1),(54,1),(55,1),(108,1),(152,1),(162,1),(232,1),(245,1)}
        37:{1,3,4,5,6}:{(23,1),(26,1),(56,1),(63,1),(111,1),(122,1),(186,1),(194,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(58,1),(114,1),(190,1),(193,1)}
        39:{2,3,6,7}:{(24,1),(57,1),(59,1),(68,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(58,1),(59,1)}
        41:{1,2,5,6,7}:{(25,1),(30,1),(60,1),(61,1),(76,1),(124,1),(193,1),(267,1),(277,1)}
        42:{2,4,5,6}:{(26,1),(27,1),(62,1),(63,1),(271,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(62,1),(65,1),(129,1),(142,1),(193,1)}
        44:{1,4,5,7}:{(27,1),(29,1),(63,1),(65,1),(66,1),(203,1)}
        45:{1,3,4,6,7}:{(28,1),(29,1),(34,1),(59,1),(65,1),(67,1),(68,1),(73,1),(113,1),(120,1),(126,1),(127,1),(141,1),(192,1),(203,1)}
        46:{2,4,6,7}:{(29,1),(30,1),(66,1),(68,1)}
        47:{2,3,5,6,7}:{(30,1),(36,1),(61,1),(68,1),(69,1),(77,1),(117,1),(125,1),(129,1),(142,1),(193,1),(202,1),(208,1),(277,1),(311,1)}
        48:{2,3,5,6}:{(31,1),(32,1),(70,1),(71,1),(122,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(213,1),(220,1)}
        50:{2,3,4,7}:{(32,1),(70,1),(73,1),(126,1),(139,1),(215,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(71,1),(73,1),(74,1)}
        52:{1,2,4,5,7}:{(33,1),(35,1),(66,1),(72,1),(74,1),(75,1),(79,1),(124,1),(136,1),(139,1),(142,1),(203,1),(218,1),(275,1),(282,1)}
        53:{2,6,7}:{(34,1),(74,1)}
        54:{1,3,6,7}:{(35,1),(68,1),(75,1),(77,1),(283,1),(311,1)}
        55:{1,4,6,7}:{(36,1),(69,1),(79,1),(203,1),(276,1)}
        56:{2,4,5,6}:{(37,1),(38,1),(80,1),(81,1),(146,1),(225,1),(233,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(80,1),(82,1),(83,1),(93,1)}
        58:{1,4,5,7}:{(38,1),(40,1),(81,1),(83,1),(229,1),(232,1)}
        59:{1,3,6,7}:{(39,1),(40,1),(83,1),(85,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(46,1),(84,1),(85,1),(86,1),(87,1),(153,1),(293,1),(299,1),(314,1)}
        61:{1,3,5,6,7}:{(41,1),(47,1),(86,1),(87,1),(106,1),(154,1),(162,1),(180,1),(245,1)}
        62:{2,3,5,6}:{(42,1),(43,1),(88,1),(89,1),(168,1),(181,1),(233,1)}
        63:{1,4,5,6}:{(42,1),(44,1),(89,1),(90,1),(237,1)}
        64:{2,3,4,5,7}:{(43,1),(50,1),(82,1),(88,1),(91,1),(98,1),(144,1),(164,1),(178,1),(230,1),(239,1),(241,1),(297,1),(298,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(89,1),(92,1),(93,1),(180,1),(232,1)}
        66:{2,4,5,7}:{(44,1),(46,1),(90,1),(92,1),(93,1),(163,1)}
        67:{2,4,6,7}:{(45,1),(53,1),(85,1),(92,1),(95,1),(102,1),(148,1),(156,1),(163,1)}
        68:{3,6,7}:{(46,1),(93,1)}
        69:{2,4,6,7}:{(47,1),(55,1),(87,1),(96,1),(97,1),(163,1),(241,1),(243,1),(299,1)}
        70:{2,3,4,6}:{(48,1),(50,1),(98,1),(99,1),(159,1),(173,1),(248,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(99,1),(100,1)}
        72:{1,2,4,5,6}:{(49,1),(52,1),(90,1),(100,1),(101,1),(109,1),(157,1),(170,1),(173,1),(181,1),(237,1),(251,1),(255,1),(297,1),(299,1),(301,1),(302,1)}
        73:{1,3,4,7}:{(50,1),(51,1),(99,1),(102,1),(175,1),(177,1)}
        74:{2,5,7}:{(51,1),(53,1),(100,1),(102,1)}
        75:{1,3,5,7}:{(52,1),(54,1),(93,1),(101,1),(104,1),(105,1),(175,1),(298,1)}
        76:{1,2,6,7}:{(53,1),(103,1),(106,1),(302,1)}
        77:{2,3,6,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(254,1),(302,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(96,1),(105,1),(107,1),(108,1),(179,1)}
        79:{1,4,5,7}:{(55,1),(97,1),(108,1),(109,1),(232,1)}
        80:{2,3,5,6}:{(56,1),(57,1),(110,1),(111,1),(122,1)}
        81:{1,4,5,6}:{(56,1),(58,1),(111,1),(260,1),(267,1)}
        82:{2,3,4,7}:{(57,1),(110,1),(113,1),(126,1),(190,1),(262,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(111,1),(113,1),(114,1)}
        84:{1,2,4,5,7}:{(58,1),(60,1),(66,1),(112,1),(114,1),(115,1),(119,1),(124,1),(187,1),(190,1),(193,1),(203,1),(265,1),(275,1),(307,1)}
        85:{2,6,7}:{(59,1),(114,1)}
        86:{1,3,6,7}:{(60,1),(68,1),(115,1),(117,1),(308,1),(311,1)}
        87:{1,4,6,7}:{(61,1),(69,1),(119,1),(203,1),(276,1)}
        88:{2,3,4,6}:{(62,1),(64,1),(120,1),(205,1),(219,1),(266,1),(268,1),(271,1),(311,1)}
        89:{1,3,5,6}:{(62,1),(63,1),(65,1),(120,1),(121,1),(122,1),(220,1),(267,1)}
        90:{2,4,5,6}:{(63,1),(66,1),(121,1),(122,1),(198,1)}
        91:{1,3,4,5,7}:{(64,1),(65,1),(73,1),(113,1),(120,1),(123,1),(126,1),(131,1),(182,1),(199,1),(200,1),(203,1),(218,1),(265,1),(272,1)}
        92:{2,5,7}:{(65,1),(67,1),(121,1)}
        93:{3,5,7}:{(66,1),(68,1),(122,1),(126,1)}
        94:{1,2,4,6,7}:{(67,1),(76,1),(116,1),(124,1),(127,1),(136,1),(141,1),(187,1),(192,1),(195,1),(203,1),(206,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(125,1),(127,1),(137,1),(188,1),(196,1)}
        96:{3,4,6,7}:{(68,1),(69,1),(126,1),(129,1),(205,1),(274,1),(311,1)}
        97:{2,4,5,7}:{(69,1),(79,1),(119,1),(129,1),(130,1),(142,1),(193,1)}
        98:{2,3,4,5}:{(70,1),(131,1),(199,1),(214,1),(278,1)}
        99:{1,3,4,6}:{(70,1),(71,1),(73,1),(131,1),(132,1),(211,1),(213,1)}
       100:{2,5,6}:{(71,1),(74,1),(132,1)}
       101:{1,3,5,6}:{(72,1),(75,1),(122,1),(134,1),(135,1),(211,1),(281,1),(283,1),(310,1),(311,1)}
       102:{2,4,7}:{(73,1),(74,1),(132,1),(137,1)}
       103:{1,2,5,7}:{(74,1),(76,1),(133,1),(136,1),(138,1),(282,1)}
       104:{2,3,5,7}:{(74,1),(75,1),(77,1),(134,1),(137,1),(138,1),(139,1),(142,1),(215,1),(282,1)}
       105:{1,3,4,7}:{(75,1),(126,1),(135,1),(139,1),(203,1),(274,1)}
       106:{1,3,6,7}:{(76,1),(77,1),(138,1),(141,1),(283,1)}
       107:{2,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(219,1)}
       108:{1,3,5,7}:{(78,1),(79,1),(129,1),(142,1),(143,1)}
       109:{1,4,5,6}:{(79,1),(130,1),(143,1),(267,1),(276,1)}
       110:{2,3,4,6}:{(80,1),(82,1),(144,1),(145,1),(159,1),(225,1),(286,1)}
       111:{1,3,5,6}:{(80,1),(81,1),(83,1),(145,1),(146,1)}
       112:{1,2,4,5,6}:{(81,1),(84,1),(90,1),(146,1),(147,1),(155,1),(157,1),(222,1),(225,1),(233,1),(237,1),(289,1),(293,1),(297,1),(299,1),(313,1),(314,1)}
       113:{1,3,4,7}:{(82,1),(83,1),(145,1),(148,1),(227,1),(229,1)}
       114:{2,5,7}:{(83,1),(85,1),(146,1),(148,1)}
       115:{1,3,5,7}:{(84,1),(86,1),(93,1),(147,1),(150,1),(151,1),(227,1),(298,1)}
       116:{1,2,6,7}:{(85,1),(149,1),(152,1),(314,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(150,1),(152,1),(153,1),(292,1),(314,1)}
       118:{1,3,4,6,7}:{(86,1),(87,1),(96,1),(151,1),(153,1),(154,1),(231,1)}
       119:{1,4,5,7}:{(87,1),(97,1),(154,1),(155,1),(180,1)}
       120:{1,3,4,6}:{(88,1),(89,1),(91,1),(156,1),(159,1),(234,1),(237,1),(255,1),(293,1)}
       121:{2,5,6}:{(89,1),(92,1),(156,1)}
       122:{3,5,6}:{(90,1),(93,1),(159,1)}
       123:{2,4,5,7}:{(91,1),(92,1),(102,1),(148,1),(156,1),(161,1),(163,1),(169,1),(221,1),(238,1)}
       124:{1,2,5,7}:{(92,1),(94,1),(157,1),(162,1),(180,1),(232,1),(244,1)}
       125:{2,3,5,7}:{(92,1),(93,1),(95,1),(158,1),(162,1),(163,1)}
       126:{3,4,7}:{(93,1),(159,1),(163,1)}
       127:{1,3,6,7}:{(94,1),(95,1),(162,1),(165,1),(175,1),(227,1),(234,1)}
       128:{2,3,4,6,7}:{(95,1),(96,1),(107,1),(153,1),(163,1),(166,1),(167,1),(176,1),(228,1),(235,1),(243,1),(254,1),(292,1)}
       129:{3,5,7}:{(96,1),(97,1),(168,1)}
       130:{2,4,5,6}:{(97,1),(109,1),(155,1),(168,1),(181,1),(233,1),(243,1),(299,1)}
       131:{1,3,4,5}:{(98,1),(99,1),(169,1),(246,1),(251,1)}
       132:{2,4,6}:{(99,1),(100,1),(102,1),(169,1),(171,1)}
       133:{1,2,5,6}:{(100,1),(103,1),(170,1),(172,1),(301,1),(302,1)}
       134:{2,3,5,6}:{(100,1),(101,1),(104,1),(171,1),(172,1),(173,1),(181,1),(248,1),(250,1),(254,1),(301,1),(302,1)}
       135:{1,3,4,6}:{(101,1),(105,1),(159,1),(173,1),(174,1),(237,1),(296,1)}
       136:{1,2,4,7}:{(102,1),(103,1),(170,1),(175,1),(177,1),(252,1)}
       137:{2,3,7}:{(102,1),(171,1),(175,1)}
       138:{1,3,5,7}:{(103,1),(104,1),(106,1),(172,1),(175,1),(177,1),(180,1)}
       139:{2,4,7}:{(104,1),(105,1),(173,1),(177,1)}
       140:{1,3,4,5,7}:{(105,1),(108,1),(164,1),(174,1),(178,1),(179,1),(242,1),(253,1),(298,1)}
       141:{1,4,6,7}:{(106,1),(107,1),(177,1),(180,1),(255,1)}
       142:{2,5,7}:{(107,1),(108,1),(180,1),(181,1)}
       143:{1,3,5,6}:{(108,1),(109,1),(168,1),(179,1),(181,1)}
       144:{2,3,4,5}:{(110,1),(182,1),(199,1),(261,1),(303,1)}
       145:{1,3,4,6}:{(110,1),(111,1),(113,1),(182,1),(183,1),(258,1),(260,1)}
       146:{2,5,6}:{(111,1),(114,1),(183,1)}
       147:{1,3,5,6}:{(112,1),(115,1),(122,1),(185,1),(186,1),(258,1),(306,1),(308,1),(310,1),(311,1)}
       148:{2,4,7}:{(113,1),(114,1),(183,1),(188,1)}
       149:{1,2,5,7}:{(114,1),(116,1),(184,1),(187,1),(189,1),(307,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(117,1),(185,1),(188,1),(189,1),(190,1),(193,1),(262,1),(307,1)}
       151:{1,3,4,7}:{(115,1),(126,1),(186,1),(190,1),(203,1),(274,1)}
       152:{1,3,6,7}:{(116,1),(117,1),(189,1),(192,1),(308,1)}
       153:{2,4,6,7}:{(117,1),(118,1),(190,1),(192,1),(193,1),(266,1)}
       154:{1,3,5,7}:{(118,1),(119,1),(129,1),(193,1),(194,1)}
       155:{1,4,5,6}:{(119,1),(130,1),(194,1),(220,1),(276,1)}
       156:{2,4,6}:{(120,1),(121,1),(123,1),(196,1)}
       157:{1,2,5,6}:{(121,1),(124,1),(195,1),(197,1),(220,1),(267,1),(277,1),(309,1)}
       158:{2,3,5,6}:{(121,1),(122,1),(125,1),(196,1),(197,1),(198,1),(270,1)}
       159:{3,4,6}:{(122,1),(126,1),(198,1),(199,1)}
       160:{1,2,4,5,7}:{(123,1),(124,1),(136,1),(187,1),(195,1),(200,1),(203,1),(209,1),(218,1),(256,1),(265,1),(272,1),(273,1),(275,1),(282,1),(307,1),(309,1)}
       161:{2,3,5,7}:{(123,1),(137,1),(188,1),(196,1),(200,1),(201,1),(210,1),(257,1),(270,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(127,1),(197,1),(202,1),(203,1)}
       163:{2,4,7}:{(125,1),(126,1),(198,1),(203,1)}
       164:{3,4,5,7}:{(126,1),(129,1),(199,1),(204,1),(205,1)}
       165:{2,3,6,7}:{(127,1),(202,1),(206,1),(215,1),(262,1),(268,1),(311,1)}
       166:{1,3,4,6,7}:{(127,1),(128,1),(141,1),(192,1),(203,1),(206,1),(207,1),(216,1),(263,1),(269,1),(274,1),(276,1),(283,1),(308,1),(311,1)}
       167:{2,3,5,7}:{(128,1),(129,1),(142,1),(193,1),(204,1),(207,1),(208,1),(270,1)}
       168:{3,5,6}:{(129,1),(130,1),(205,1),(311,1)}
       169:{2,4,5}:{(131,1),(132,1),(210,1)}
       170:{1,2,4,6}:{(132,1),(133,1),(136,1),(209,1),(211,1),(213,1),(280,1)}
       171:{2,3,6}:{(132,1),(137,1),(210,1),(211,1)}
       172:{1,3,5,6}:{(133,1),(134,1),(138,1),(211,1),(213,1),(220,1),(281,1),(283,1)}
       173:{2,4,6}:{(134,1),(135,1),(139,1),(213,1),(214,1)}
       174:{1,3,4,5}:{(135,1),(199,1),(214,1),(272,1),(281,1),(310,1)}
       175:{1,3,7}:{(136,1),(137,1),(211,1),(215,1)}
       176:{2,3,4,7}:{(137,1),(139,1),(212,1),(216,1),(217,1),(274,1)}
       177:{1,4,7}:{(138,1),(139,1),(213,1)}
       178:{2,4,5,7}:{(139,1),(140,1),(142,1),(214,1),(217,1),(218,1),(219,1),(282,1)}
       179:{1,3,4,6}:{(140,1),(143,1),(205,1),(219,1),(276,1),(283,1),(311,1)}
       180:{1,5,7}:{(141,1),(142,1),(220,1)}
       181:{2,5,6}:{(142,1),(143,1),(219,1),(220,1)}
       182:{1,3,4,5}:{(144,1),(145,1),(221,1),(284,1),(289,1)}
       183:{2,4,6}:{(145,1),(146,1),(148,1),(221,1),(223,1)}
       184:{1,2,5,6}:{(146,1),(149,1),(222,1),(224,1),(313,1),(314,1)}
       185:{2,3,5,6}:{(146,1),(147,1),(150,1),(223,1),(224,1),(225,1),(233,1),(286,1),(288,1),(292,1),(313,1),(314,1)}
       186:{1,3,4,6}:{(147,1),(151,1),(159,1),(225,1),(226,1),(237,1),(296,1)}
       187:{1,2,4,7}:{(148,1),(149,1),(222,1),(227,1),(229,1),(290,1)}
       188:{2,3,7}:{(148,1),(223,1),(227,1)}
       189:{1,3,5,7}:{(149,1),(150,1),(152,1),(224,1),(227,1),(229,1),(232,1)}
       190:{2,4,7}:{(150,1),(151,1),(225,1),(229,1)}
       191:{1,3,4,5,7}:{(151,1),(154,1),(164,1),(226,1),(230,1),(231,1),(242,1),(291,1),(298,1)}
       192:{1,4,6,7}:{(152,1),(153,1),(229,1),(232,1),(293,1)}
       193:{2,5,7}:{(153,1),(154,1),(232,1),(233,1)}
       194:{1,3,5,6}:{(154,1),(155,1),(168,1),(231,1),(233,1)}
       195:{1,2,4,6}:{(156,1),(157,1),(160,1),(234,1),(237,1),(255,1),(293,1),(294,1),(299,1),(302,1),(314,1)}
       196:{2,3,6}:{(156,1),(161,1),(234,1)}
       197:{1,3,5,6}:{(157,1),(158,1),(162,1),(234,1),(236,1),(237,1),(295,1)}
       198:{2,4,6}:{(158,1),(159,1),(163,1),(237,1),(238,1)}
       199:{3,4,5}:{(159,1),(238,1)}
       200:{1,3,5,7}:{(160,1),(161,1),(175,1),(227,1),(234,1),(239,1),(240,1),(246,1),(284,1),(295,1),(298,1)}
       201:{2,3,4,7}:{(161,1),(163,1),(235,1),(240,1),(247,1),(285,1)}
       202:{2,3,5,7}:{(162,1),(165,1),(236,1),(241,1),(244,1),(298,1)}
       203:{1,4,7}:{(162,1),(163,1),(237,1),(241,1)}
       204:{2,4,5,7}:{(163,1),(164,1),(167,1),(238,1),(242,1),(243,1)}
       205:{3,4,6}:{(164,1),(168,1),(243,1)}
       206:{2,4,6,7}:{(165,1),(166,1),(241,1),(244,1),(252,1),(290,1),(294,1),(299,1),(302,1),(314,1)}
       207:{1,3,5,7}:{(166,1),(167,1),(180,1),(232,1),(242,1),(244,1),(245,1),(295,1),(298,1)}
       208:{2,3,5,6}:{(167,1),(168,1),(181,1),(233,1),(243,1),(245,1),(254,1),(292,1)}
       209:{1,2,4,5}:{(169,1),(170,1),(246,1),(251,1),(300,1),(301,1)}
       210:{2,3,5}:{(169,1),(171,1),(246,1),(247,1)}
       211:{1,3,6}:{(170,1),(171,1),(175,1),(246,1),(248,1)}
       212:{2,3,4,6}:{(171,1),(173,1),(176,1),(247,1),(249,1),(250,1),(254,1),(296,1)}
       213:{1,4,6}:{(172,1),(173,1),(177,1),(251,1)}
       214:{2,4,5}:{(173,1),(174,1),(250,1),(251,1),(301,1)}
       215:{2,3,7}:{(175,1),(248,1),(252,1)}
       216:{1,3,4,7}:{(175,1),(176,1),(177,1),(249,1),(252,1),(253,1)}
       217:{2,3,5,7}:{(176,1),(178,1),(250,1),(253,1),(254,1),(298,1)}
       218:{1,4,5,7}:{(177,1),(178,1),(180,1),(251,1),(253,1),(255,1)}
       219:{2,4,6}:{(178,1),(179,1),(181,1),(254,1),(255,1),(302,1)}
       220:{1,5,6}:{(180,1),(181,1),(255,1)}
       221:{2,4,5}:{(182,1),(183,1),(257,1)}
       222:{1,2,4,6}:{(183,1),(184,1),(187,1),(256,1),(258,1),(260,1),(305,1)}
       223:{2,3,6}:{(183,1),(188,1),(257,1),(258,1)}
       224:{1,3,5,6}:{(184,1),(185,1),(189,1),(258,1),(260,1),(267,1),(306,1),(308,1)}
       225:{2,4,6}:{(185,1),(186,1),(190,1),(260,1),(261,1)}
       226:{1,3,4,5}:{(186,1),(199,1),(261,1),(272,1),(306,1),(310,1)}
       227:{1,3,7}:{(187,1),(188,1),(258,1),(262,1)}
       228:{2,3,4,7}:{(188,1),(190,1),(259,1),(263,1),(264,1),(274,1)}
       229:{1,4,7}:{(189,1),(190,1),(260,1)}
       230:{2,4,5,7}:{(190,1),(191,1),(193,1),(261,1),(264,1),(265,1),(266,1),(307,1)}
       231:{1,3,4,6}:{(191,1),(194,1),(205,1),(266,1),(276,1),(308,1),(311,1)}
       232:{1,5,7}:{(192,1),(193,1),(267,1)}
       233:{2,5,6}:{(193,1),(194,1),(266,1),(267,1)}
       234:{1,3,6}:{(195,1),(196,1),(200,1),(268,1),(311,1)}
       235:{2,3,4,6}:{(196,1),(198,1),(201,1),(269,1),(270,1)}
       236:{2,3,5,6}:{(197,1),(202,1),(268,1),(271,1),(277,1),(309,1),(310,1),(311,1)}
       237:{1,4,6}:{(197,1),(198,1),(203,1),(271,1),(272,1)}
       238:{2,4,5}:{(198,1),(199,1),(270,1),(272,1)}
       239:{2,3,5,7}:{(200,1),(215,1),(262,1),(268,1),(273,1),(278,1),(282,1),(303,1),(307,1),(309,1)}
       240:{1,3,4,7}:{(200,1),(201,1),(203,1),(269,1),(273,1),(274,1),(279,1),(304,1)}
       241:{2,4,7}:{(202,1),(203,1),(271,1),(274,1)}
       242:{1,4,5,7}:{(203,1),(204,1),(207,1),(272,1),(275,1),(276,1)}
       243:{2,4,6}:{(204,1),(205,1),(208,1),(276,1)}
       244:{2,5,7}:{(206,1),(207,1),(277,1),(309,1)}
       245:{1,3,5,6}:{(207,1),(208,1),(220,1),(267,1),(276,1),(277,1),(283,1),(308,1),(311,1)}
       246:{1,3,5}:{(209,1),(210,1),(211,1),(278,1),(279,1)}
       247:{2,3,4}:{(210,1),(279,1)}
       248:{2,3,6}:{(211,1),(215,1),(278,1),(280,1)}
       249:{1,3,4,6}:{(211,1),(212,1),(213,1),(216,1),(279,1),(280,1),(281,1),(283,1)}
       250:{2,3,5}:{(212,1),(214,1),(281,1),(310,1)}
       251:{1,4,5}:{(213,1),(214,1),(281,1)}
       252:{2,4,7}:{(215,1),(216,1),(280,1),(282,1)}
       253:{1,3,5,7}:{(216,1),(217,1),(218,1),(281,1),(282,1),(283,1)}
       254:{2,3,6}:{(217,1),(219,1),(283,1),(311,1)}
       255:{1,4,6}:{(218,1),(219,1),(220,1),(283,1)}
       256:{1,2,4,5}:{(221,1),(222,1),(284,1),(289,1),(312,1),(313,1)}
       257:{2,3,5}:{(221,1),(223,1),(284,1),(285,1)}
       258:{1,3,6}:{(222,1),(223,1),(227,1),(284,1),(286,1)}
       259:{2,3,4,6}:{(223,1),(225,1),(228,1),(285,1),(287,1),(288,1),(292,1),(296,1)}
       260:{1,4,6}:{(224,1),(225,1),(229,1),(289,1)}
       261:{2,4,5}:{(225,1),(226,1),(288,1),(289,1),(313,1)}
       262:{2,3,7}:{(227,1),(286,1),(290,1)}
       263:{1,3,4,7}:{(227,1),(228,1),(229,1),(287,1),(290,1),(291,1)}
       264:{2,3,5,7}:{(228,1),(230,1),(288,1),(291,1),(292,1),(298,1)}
       265:{1,4,5,7}:{(229,1),(230,1),(232,1),(289,1),(291,1),(293,1)}
       266:{2,4,6}:{(230,1),(231,1),(233,1),(292,1),(293,1),(314,1)}
       267:{1,5,6}:{(232,1),(233,1),(293,1)}
       268:{2,3,6}:{(234,1),(239,1),(294,1),(302,1),(314,1)}
       269:{1,3,4,6}:{(234,1),(235,1),(237,1),(240,1),(294,1),(295,1),(296,1)}
       270:{2,3,5}:{(235,1),(238,1),(295,1)}
       271:{2,4,6}:{(236,1),(237,1),(241,1),(296,1),(297,1)}
       272:{1,4,5}:{(237,1),(238,1),(295,1),(297,1)}
       273:{2,4,7}:{(239,1),(240,1),(294,1),(300,1),(312,1)}
       274:{3,4,7}:{(241,1),(296,1),(298,1)}
       275:{2,4,5,7}:{(241,1),(242,1),(244,1),(297,1),(298,1),(299,1)}
       276:{1,4,6}:{(242,1),(243,1),(245,1),(299,1)}
       277:{2,5,6}:{(244,1),(245,1),(299,1),(302,1),(314,1)}
       278:{2,3,5}:{(246,1),(248,1),(300,1),(301,1)}
       279:{1,3,4}:{(246,1),(247,1),(300,1)}
       280:{2,4,6}:{(248,1),(249,1),(252,1),(300,1),(301,1),(302,1)}
       281:{1,3,5}:{(249,1),(250,1),(251,1),(301,1)}
       282:{2,5,7}:{(252,1),(253,1),(301,1),(302,1)}
       283:{1,3,6}:{(253,1),(254,1),(255,1),(302,1)}
       284:{1,3,5}:{(256,1),(257,1),(258,1),(303,1),(304,1)}
       285:{2,3,4}:{(257,1),(304,1)}
       286:{2,3,6}:{(258,1),(262,1),(303,1),(305,1)}
       287:{1,3,4,6}:{(258,1),(259,1),(260,1),(263,1),(304,1),(305,1),(306,1),(308,1)}
       288:{2,3,5}:{(259,1),(261,1),(306,1),(310,1)}
       289:{1,4,5}:{(260,1),(261,1),(306,1)}
       290:{2,4,7}:{(262,1),(263,1),(305,1),(307,1)}
       291:{1,3,5,7}:{(263,1),(264,1),(265,1),(306,1),(307,1),(308,1)}
       292:{2,3,6}:{(264,1),(266,1),(308,1),(311,1)}
       293:{1,4,6}:{(265,1),(266,1),(267,1),(308,1)}
       294:{2,4,6}:{(268,1),(269,1),(273,1),(309,1)}
       295:{1,3,5}:{(269,1),(270,1),(272,1),(309,1),(310,1)}
       296:{3,4,6}:{(271,1),(274,1),(310,1),(311,1)}
       297:{2,4,5}:{(271,1),(272,1),(309,1),(310,1)}
       298:{3,5,7}:{(274,1),(275,1),(310,1),(311,1)}
       299:{2,4,6}:{(275,1),(276,1),(277,1),(311,1)}
       300:{2,4}:{(278,1),(279,1)}
       301:{2,5}:{(280,1),(281,1)}
       302:{2,6}:{(282,1),(283,1)}
       303:{2,3,5}:{(284,1),(286,1),(312,1),(313,1)}
       304:{1,3,4}:{(284,1),(285,1),(312,1)}
       305:{2,4,6}:{(286,1),(287,1),(290,1),(312,1),(313,1),(314,1)}
       306:{1,3,5}:{(287,1),(288,1),(289,1),(313,1)}
       307:{2,5,7}:{(290,1),(291,1),(313,1),(314,1)}
       308:{1,3,6}:{(291,1),(292,1),(293,1),(314,1)}
       309:{2,5}:{(294,1),(295,1)}
       310:{3,5}:{(296,1),(297,1)}
       311:{3,6}:{(298,1),(299,1)}
       312:{2,4}:{(303,1),(304,1)}
       313:{2,5}:{(305,1),(306,1)}
       314:{2,6}:{(307,1),(308,1)}

 712 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(17,1),(38,1),(54,1),(84,1)}
         1:{1,2,4,7}:{(0,1),(6,1),(7,1),(9,1),(32,1),(109,1)}
         2:{1,2,6}:{(0,1),(8,1),(79,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(33,1),(36,1),(61,1),(110,1),(112,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(15,1),(40,1),(49,1),(89,1)}
         5:{2,3,5,7}:{(3,1),(12,1),(13,1),(14,1),(16,1),(39,1),(46,1),(47,1),(52,1),(54,1),(87,1),(89,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(17,1),(18,1),(20,1),(53,1),(55,1)}
         7:{1,3,7}:{(1,1),(16,1),(18,1),(132,1),(185,1)}
         8:{1,3,6}:{(2,1),(3,1),(13,1),(20,1),(135,1)}
         9:{1,4,7}:{(3,1),(14,1),(20,1),(55,1),(133,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(25,1),(63,1),(73,1)}
        11:{1,2,6}:{(4,1),(24,1),(115,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(23,1),(24,1),(25,1),(30,1),(64,1),(67,1),(74,1),(76,1)}
        13:{2,3,6}:{(5,1),(8,1),(24,1),(27,1),(70,1),(79,1),(115,1)}
        14:{2,4,7}:{(5,1),(9,1),(25,1),(26,1),(27,1),(77,1),(113,1)}
        15:{1,2,7}:{(29,1),(30,1),(150,1),(181,1)}
        16:{2,3,7}:{(7,1),(30,1),(31,1),(32,1),(151,1),(164,1),(181,1)}
        17:{1,2,5}:{(6,1),(33,1),(36,1),(78,1),(122,1)}
        18:{1,3,6}:{(6,1),(7,1),(31,1),(33,1),(180,1)}
        19:{1,3,4,7}:{(7,1),(9,1),(26,1),(32,1),(34,1),(35,1),(131,1),(152,1),(164,1)}
        20:{1,4,6}:{(8,1),(9,1),(27,1),(36,1)}
        21:{1,4,5,7}:{(9,1),(28,1),(35,1),(36,1),(37,1),(80,1),(83,1),(112,1),(131,1),(153,1),(178,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(40,1),(41,1),(43,1),(88,1),(90,1)}
        23:{1,3,7}:{(10,1),(39,1),(41,1),(99,1),(188,1)}
        24:{1,3,6}:{(11,1),(12,1),(13,1),(43,1),(102,1)}
        25:{1,4,7}:{(12,1),(14,1),(43,1),(90,1),(100,1)}
        26:{3,4,7}:{(14,1),(45,1),(46,1),(103,1),(136,1),(142,1)}
        27:{2,4,6}:{(13,1),(14,1),(20,1),(43,1),(45,1),(47,1)}
        28:{2,4,5,7}:{(14,1),(21,1),(44,1),(46,1),(47,1),(48,1),(54,1),(89,1),(95,1),(98,1),(104,1),(137,1),(142,1),(149,1),(171,1)}
        29:{1,2,6}:{(15,1),(49,1),(50,1),(173,1)}
        30:{1,3,7}:{(15,1),(16,1),(50,1),(51,1),(165,1)}
        31:{2,3,6}:{(16,1),(18,1),(50,1),(52,1),(53,1),(148,1),(173,1)}
        32:{2,4,7}:{(16,1),(19,1),(51,1),(53,1),(54,1),(166,1)}
        33:{1,3,5}:{(17,1),(18,1),(52,1),(55,1),(143,1),(172,1)}
        34:{1,3,4,6}:{(18,1),(19,1),(20,1),(45,1),(53,1),(55,1),(56,1),(57,1),(103,1),(107,1),(148,1)}
        35:{1,3,5,7}:{(19,1),(21,1),(46,1),(54,1),(56,1),(57,1),(167,1),(184,1)}
        36:{1,5}:{(20,1),(47,1)}
        37:{1,4,6}:{(21,1),(48,1),(57,1),(58,1),(135,1)}
        38:{1,2,7}:{(60,1),(61,1),(122,1),(187,1)}
        39:{2,3,7}:{(23,1),(61,1),(62,1),(63,1),(123,1),(179,1),(187,1)}
        40:{1,2,5}:{(22,1),(64,1),(67,1),(114,1),(150,1)}
        41:{1,3,6}:{(22,1),(23,1),(62,1),(64,1),(186,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(26,1),(63,1),(65,1),(66,1),(124,1),(159,1),(179,1)}
        43:{1,4,6}:{(24,1),(25,1),(27,1),(67,1)}
        44:{1,4,5,7}:{(25,1),(28,1),(66,1),(67,1),(68,1),(76,1),(116,1),(119,1),(125,1),(159,1),(163,1)}
        45:{3,4,6}:{(26,1),(27,1),(69,1),(70,1),(120,1)}
        46:{3,5,7}:{(26,1),(28,1),(69,1),(70,1),(128,1),(156,1),(164,1),(179,1)}
        47:{2,5}:{(27,1),(36,1),(67,1),(69,1)}
        48:{2,4,6}:{(28,1),(37,1),(68,1),(70,1),(71,1),(79,1),(115,1),(120,1)}
        49:{1,2,5}:{(29,1),(73,1),(74,1),(161,1)}
        50:{1,3,6}:{(29,1),(30,1),(31,1),(74,1),(75,1)}
        51:{1,4,7}:{(30,1),(32,1),(75,1),(76,1),(175,1)}
        52:{2,3,5}:{(31,1),(33,1),(74,1),(77,1),(78,1),(123,1),(128,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(34,1),(75,1),(77,1),(78,1),(79,1)}
        54:{2,5,7}:{(32,1),(35,1),(76,1),(78,1),(79,1),(176,1),(187,1)}
        55:{1,4}:{(33,1),(77,1)}
        56:{1,3,5}:{(34,1),(36,1),(69,1),(78,1),(80,1),(128,1)}
        57:{1,3,6}:{(35,1),(37,1),(70,1),(79,1)}
        58:{1,5,6}:{(36,1),(37,1),(71,1),(83,1)}
        59:{1,4,6,7}:{(37,1),(72,1),(82,1),(83,1),(131,1),(155,1),(178,1)}
        60:{1,2,6}:{(38,1),(84,1),(85,1),(183,1)}
        61:{1,3,7}:{(38,1),(39,1),(85,1),(86,1),(143,1)}
        62:{2,3,6}:{(39,1),(41,1),(85,1),(87,1),(88,1),(170,1),(183,1)}
        63:{2,4,7}:{(39,1),(42,1),(86,1),(88,1),(89,1),(144,1)}
        64:{1,3,5}:{(40,1),(41,1),(87,1),(90,1),(165,1),(182,1)}
        65:{1,3,4,6}:{(41,1),(42,1),(43,1),(45,1),(88,1),(90,1),(91,1),(92,1),(136,1),(140,1),(170,1)}
        66:{1,3,5,7}:{(42,1),(44,1),(46,1),(89,1),(91,1),(92,1),(145,1),(174,1)}
        67:{1,5}:{(43,1),(47,1)}
        68:{1,4,6}:{(44,1),(48,1),(92,1),(93,1),(102,1)}
        69:{3,5}:{(45,1),(47,1),(95,1)}
        70:{3,6}:{(46,1),(48,1)}
        71:{2,5,6}:{(47,1),(48,1),(58,1),(93,1),(96,1),(98,1)}
        72:{2,4,6,7}:{(48,1),(59,1),(94,1),(97,1),(98,1),(106,1),(139,1),(142,1),(149,1),(171,1)}
        73:{1,2,4}:{(49,1),(99,1),(100,1),(144,1)}
        74:{1,3,5}:{(49,1),(50,1),(52,1),(99,1),(100,1),(101,1)}
        75:{1,4,6}:{(50,1),(51,1),(53,1),(100,1),(101,1),(102,1)}
        76:{1,5,7}:{(51,1),(54,1),(101,1),(102,1),(182,1),(188,1)}
        77:{2,4}:{(52,1),(55,1),(100,1),(103,1)}
        78:{2,5}:{(53,1),(56,1),(101,1)}
        79:{2,6}:{(54,1),(57,1),(102,1)}
        80:{1,4,5}:{(55,1),(56,1),(95,1),(104,1),(107,1),(172,1)}
        81:{1,3,5,6}:{(56,1),(57,1),(58,1),(96,1),(105,1),(107,1),(108,1),(148,1)}
        82:{1,3,6,7}:{(57,1),(59,1),(97,1),(106,1),(108,1),(184,1)}
        83:{1,5,7}:{(58,1),(59,1),(98,1)}
        84:{1,2,5}:{(60,1),(109,1),(110,1),(176,1)}
        85:{1,3,6}:{(60,1),(61,1),(62,1),(110,1),(111,1)}
        86:{1,4,7}:{(61,1),(63,1),(111,1),(112,1),(160,1)}
        87:{2,3,5}:{(62,1),(64,1),(110,1),(113,1),(114,1),(151,1),(156,1),(176,1)}
        88:{2,4,6}:{(62,1),(63,1),(65,1),(111,1),(113,1),(114,1),(115,1)}
        89:{2,5,7}:{(63,1),(66,1),(112,1),(114,1),(115,1),(161,1),(181,1)}
        90:{1,4}:{(64,1),(113,1)}
        91:{1,3,5}:{(65,1),(67,1),(69,1),(114,1),(116,1),(156,1)}
        92:{1,3,6}:{(66,1),(68,1),(70,1),(115,1)}
        93:{1,5,6}:{(67,1),(68,1),(71,1),(119,1)}
        94:{1,4,6,7}:{(68,1),(72,1),(118,1),(119,1),(127,1),(159,1),(163,1)}
        95:{4,5}:{(69,1),(120,1)}
        96:{3,5,6}:{(69,1),(70,1),(71,1),(120,1),(121,1)}
        97:{3,6,7}:{(70,1),(72,1),(121,1),(164,1),(179,1)}
        98:{2,5,7}:{(71,1),(72,1),(83,1),(119,1),(121,1)}
        99:{1,3}:{(73,1),(123,1)}
       100:{1,4}:{(74,1),(77,1)}
       101:{1,5}:{(75,1),(78,1)}
       102:{1,6}:{(76,1),(79,1)}
       103:{3,4}:{(77,1),(128,1)}
       104:{2,4,5}:{(77,1),(78,1),(80,1),(125,1),(128,1),(129,1),(161,1)}
       105:{2,5,6}:{(78,1),(79,1),(81,1),(126,1),(129,1),(130,1)}
       106:{2,6,7}:{(79,1),(82,1),(127,1),(130,1),(187,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(131,1),(180,1)}
       108:{1,3,5,7}:{(81,1),(82,1),(83,1),(121,1),(130,1),(131,1),(164,1)}
       109:{1,2,4}:{(84,1),(132,1),(133,1),(166,1)}
       110:{1,3,5}:{(84,1),(85,1),(87,1),(132,1),(133,1),(134,1)}
       111:{1,4,6}:{(85,1),(86,1),(88,1),(133,1),(134,1),(135,1)}
       112:{1,5,7}:{(86,1),(89,1),(134,1),(135,1),(172,1),(185,1)}
       113:{2,4}:{(87,1),(90,1),(133,1),(136,1)}
       114:{2,5}:{(88,1),(91,1),(134,1)}
       115:{2,6}:{(89,1),(92,1),(135,1)}
       116:{1,4,5}:{(90,1),(91,1),(95,1),(137,1),(140,1),(182,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(96,1),(138,1),(140,1),(141,1),(170,1)}
       118:{1,3,6,7}:{(92,1),(94,1),(97,1),(139,1),(141,1),(174,1)}
       119:{1,5,7}:{(93,1),(94,1),(98,1)}
       120:{4,6}:{(95,1),(96,1),(142,1)}
       121:{3,5,7}:{(96,1),(97,1),(98,1),(142,1)}
       122:{1,2}:{(143,1)}
       123:{2,3}:{(99,1),(143,1),(144,1)}
       124:{1,3,4}:{(99,1),(100,1),(103,1),(144,1),(145,1)}
       125:{1,4,5}:{(100,1),(101,1),(104,1),(145,1),(146,1)}
       126:{1,5,6}:{(101,1),(102,1),(105,1),(146,1),(147,1)}
       127:{1,6,7}:{(102,1),(106,1),(147,1),(188,1)}
       128:{3,5}:{(103,1),(104,1),(148,1)}
       129:{2,4,6}:{(104,1),(105,1),(107,1),(146,1),(148,1),(149,1),(173,1)}
       130:{2,5,7}:{(105,1),(106,1),(108,1),(147,1),(149,1)}
       131:{1,4,7}:{(107,1),(108,1),(142,1),(149,1),(185,1)}
       132:{1,3}:{(109,1),(151,1)}
       133:{1,4}:{(110,1),(113,1)}
       134:{1,5}:{(111,1),(114,1)}
       135:{1,6}:{(112,1),(115,1)}
       136:{3,4}:{(113,1),(156,1)}
       137:{2,4,5}:{(113,1),(114,1),(116,1),(153,1),(156,1),(157,1),(176,1)}
       138:{2,5,6}:{(114,1),(115,1),(117,1),(154,1),(157,1),(158,1)}
       139:{2,6,7}:{(115,1),(118,1),(155,1),(158,1),(181,1)}
       140:{1,4,6}:{(116,1),(117,1),(120,1),(157,1),(159,1),(186,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(119,1),(121,1),(158,1),(159,1),(179,1)}
       142:{4,7}:{(120,1),(121,1)}
       143:{1,3}:{(122,1),(123,1),(160,1)}
       144:{2,4}:{(123,1),(124,1),(160,1),(161,1)}
       145:{1,3,5}:{(124,1),(125,1),(128,1),(161,1),(162,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(162,1),(163,1)}
       147:{1,5,7}:{(126,1),(127,1),(130,1),(163,1)}
       148:{3,6}:{(128,1),(129,1),(164,1)}
       149:{2,4,7}:{(129,1),(130,1),(131,1),(163,1),(164,1),(181,1)}
       150:{1,2}:{(165,1)}
       151:{2,3}:{(132,1),(165,1),(166,1)}
       152:{1,3,4}:{(132,1),(133,1),(136,1),(166,1),(167,1)}
       153:{1,4,5}:{(133,1),(134,1),(137,1),(167,1),(168,1)}
       154:{1,5,6}:{(134,1),(135,1),(138,1),(168,1),(169,1)}
       155:{1,6,7}:{(135,1),(139,1),(169,1),(185,1)}
       156:{3,5}:{(136,1),(137,1),(170,1)}
       157:{2,4,6}:{(137,1),(138,1),(140,1),(168,1),(170,1),(171,1),(183,1)}
       158:{2,5,7}:{(138,1),(139,1),(141,1),(169,1),(171,1)}
       159:{1,4,7}:{(140,1),(141,1),(142,1),(171,1),(188,1)}
       160:{1,4}:{(143,1),(144,1),(172,1)}
       161:{2,5}:{(144,1),(145,1),(172,1),(173,1)}
       162:{1,3,6}:{(145,1),(146,1),(148,1),(173,1),(174,1)}
       163:{1,4,7}:{(146,1),(147,1),(149,1),(174,1)}
       164:{3,7}:{(148,1),(149,1)}
       165:{1,3}:{(150,1),(151,1),(175,1)}
       166:{2,4}:{(151,1),(152,1),(175,1),(176,1)}
       167:{1,3,5}:{(152,1),(153,1),(156,1),(176,1),(177,1)}
       168:{1,4,6}:{(153,1),(154,1),(157,1),(177,1),(178,1)}
       169:{1,5,7}:{(154,1),(155,1),(158,1),(178,1)}
       170:{3,6}:{(156,1),(157,1),(179,1)}
       171:{2,4,7}:{(157,1),(158,1),(159,1),(178,1),(179,1),(187,1)}
       172:{1,5}:{(160,1),(161,1),(180,1)}
       173:{2,6}:{(161,1),(162,1),(180,1),(181,1)}
       174:{1,3,7}:{(162,1),(163,1),(164,1),(181,1)}
       175:{1,4}:{(165,1),(166,1),(182,1)}
       176:{2,5}:{(166,1),(167,1),(182,1),(183,1)}
       177:{1,3,6}:{(167,1),(168,1),(170,1),(183,1),(184,1)}
       178:{1,4,7}:{(168,1),(169,1),(171,1),(184,1)}
       179:{3,7}:{(170,1),(171,1)}
       180:{1,6}:{(172,1),(173,1),(185,1)}
       181:{2,7}:{(173,1),(174,1),(185,1)}
       182:{1,5}:{(175,1),(176,1),(186,1)}
       183:{2,6}:{(176,1),(177,1),(186,1),(187,1)}
       184:{1,3,7}:{(177,1),(178,1),(179,1),(187,1)}
       185:{1,7}:{(180,1),(181,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{2,7}:{(183,1),(184,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 713 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(19,1),(38,1),(52,1),(86,1)}
         1:{1,2,4,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(8,1),(9,1),(35,1),(37,1),(60,1),(109,1),(111,1)}
         3:{1,2,6}:{(0,1),(9,1),(77,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(15,1),(42,1),(51,1),(87,1)}
         5:{2,3,5,7}:{(2,1),(11,1),(13,1),(14,1),(16,1),(39,1),(45,1),(48,1),(52,1),(54,1),(87,1),(89,1)}
         6:{1,3,7}:{(1,1),(16,1),(18,1),(134,1),(185,1)}
         7:{1,2,4,6}:{(1,1),(3,1),(18,1),(19,1),(21,1),(53,1),(57,1)}
         8:{1,4,7}:{(2,1),(13,1),(21,1),(57,1),(133,1)}
         9:{1,3,6}:{(2,1),(3,1),(14,1),(21,1),(131,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(62,1),(76,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(29,1),(66,1),(68,1),(73,1),(75,1)}
        12:{1,2,6}:{(4,1),(25,1),(113,1)}
        13:{2,4,7}:{(5,1),(8,1),(24,1),(26,1),(28,1),(79,1),(115,1)}
        14:{2,3,6}:{(5,1),(9,1),(25,1),(28,1),(69,1),(77,1),(113,1)}
        15:{1,2,7}:{(29,1),(30,1),(178,1),(180,1)}
        16:{2,3,7}:{(6,1),(29,1),(31,1),(32,1),(153,1),(163,1),(180,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(26,1),(31,1),(33,1),(34,1),(130,1),(152,1),(163,1)}
        18:{1,3,6}:{(6,1),(7,1),(32,1),(35,1),(181,1)}
        19:{1,2,5}:{(7,1),(35,1),(37,1),(78,1),(162,1)}
        20:{1,4,5,7}:{(8,1),(27,1),(33,1),(36,1),(37,1),(82,1),(83,1),(109,1),(130,1),(151,1),(174,1)}
        21:{1,4,6}:{(8,1),(9,1),(28,1),(37,1)}
        22:{1,3,7}:{(10,1),(39,1),(41,1),(102,1),(188,1)}
        23:{1,2,4,6}:{(10,1),(12,1),(41,1),(42,1),(44,1),(88,1),(92,1)}
        24:{1,4,7}:{(11,1),(13,1),(44,1),(92,1),(101,1)}
        25:{1,3,6}:{(11,1),(12,1),(14,1),(44,1),(99,1)}
        26:{3,4,7}:{(13,1),(45,1),(46,1),(106,1),(138,1),(141,1)}
        27:{2,4,5,7}:{(13,1),(20,1),(43,1),(45,1),(47,1),(48,1),(52,1),(87,1),(97,1),(98,1),(105,1),(137,1),(141,1),(147,1),(169,1)}
        28:{2,4,6}:{(13,1),(14,1),(21,1),(44,1),(46,1),(48,1)}
        29:{1,3,7}:{(15,1),(16,1),(49,1),(50,1),(168,1)}
        30:{1,2,6}:{(15,1),(50,1),(51,1),(172,1)}
        31:{2,4,7}:{(16,1),(17,1),(49,1),(52,1),(53,1),(167,1)}
        32:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(148,1),(172,1)}
        33:{1,3,5,7}:{(17,1),(20,1),(45,1),(52,1),(55,1),(56,1),(166,1),(182,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(21,1),(46,1),(53,1),(55,1),(56,1),(57,1),(106,1),(108,1),(148,1)}
        35:{1,3,5}:{(18,1),(19,1),(54,1),(57,1),(146,1),(173,1)}
        36:{1,4,6}:{(20,1),(47,1),(55,1),(59,1),(131,1)}
        37:{1,5}:{(21,1),(48,1)}
        38:{1,2,7}:{(60,1),(61,1),(162,1),(186,1)}
        39:{2,3,7}:{(22,1),(60,1),(62,1),(63,1),(126,1),(179,1),(186,1)}
        40:{1,3,4,7}:{(22,1),(24,1),(26,1),(62,1),(64,1),(65,1),(125,1),(157,1),(179,1)}
        41:{1,3,6}:{(22,1),(23,1),(63,1),(66,1),(187,1)}
        42:{1,2,5}:{(23,1),(66,1),(68,1),(114,1),(178,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(64,1),(67,1),(68,1),(73,1),(118,1),(119,1),(124,1),(157,1),(158,1)}
        44:{1,4,6}:{(24,1),(25,1),(28,1),(68,1)}
        45:{3,5,7}:{(26,1),(27,1),(69,1),(70,1),(129,1),(156,1),(163,1),(179,1)}
        46:{3,4,6}:{(26,1),(28,1),(69,1),(70,1),(121,1)}
        47:{2,4,6}:{(27,1),(36,1),(67,1),(69,1),(72,1),(77,1),(113,1),(121,1)}
        48:{2,5}:{(28,1),(37,1),(68,1),(70,1)}
        49:{1,4,7}:{(29,1),(31,1),(73,1),(74,1),(177,1)}
        50:{1,3,6}:{(29,1),(30,1),(32,1),(74,1),(75,1)}
        51:{1,2,5}:{(30,1),(75,1),(76,1),(160,1)}
        52:{2,5,7}:{(31,1),(33,1),(73,1),(77,1),(78,1),(176,1),(186,1)}
        53:{2,4,6}:{(31,1),(32,1),(34,1),(74,1),(77,1),(78,1),(79,1)}
        54:{2,3,5}:{(32,1),(35,1),(75,1),(78,1),(79,1),(126,1),(129,1),(160,1)}
        55:{1,3,6}:{(33,1),(36,1),(69,1),(77,1)}
        56:{1,3,5}:{(34,1),(37,1),(70,1),(78,1),(82,1),(129,1)}
        57:{1,4}:{(35,1),(79,1)}
        58:{1,4,6,7}:{(36,1),(71,1),(80,1),(83,1),(130,1),(149,1),(174,1)}
        59:{1,5,6}:{(36,1),(37,1),(72,1),(83,1)}
        60:{1,3,7}:{(38,1),(39,1),(84,1),(85,1),(146,1)}
        61:{1,2,6}:{(38,1),(85,1),(86,1),(183,1)}
        62:{2,4,7}:{(39,1),(40,1),(84,1),(87,1),(88,1),(145,1)}
        63:{2,3,6}:{(39,1),(41,1),(85,1),(88,1),(89,1),(170,1),(183,1)}
        64:{1,3,5,7}:{(40,1),(43,1),(45,1),(87,1),(90,1),(91,1),(144,1),(171,1)}
        65:{1,3,4,6}:{(40,1),(41,1),(44,1),(46,1),(88,1),(90,1),(91,1),(92,1),(138,1),(140,1),(170,1)}
        66:{1,3,5}:{(41,1),(42,1),(89,1),(92,1),(168,1),(184,1)}
        67:{1,4,6}:{(43,1),(47,1),(90,1),(94,1),(99,1)}
        68:{1,5}:{(44,1),(48,1)}
        69:{3,6}:{(45,1),(47,1)}
        70:{3,5}:{(46,1),(48,1),(97,1)}
        71:{2,4,6,7}:{(47,1),(58,1),(93,1),(95,1),(98,1),(103,1),(135,1),(141,1),(147,1),(169,1)}
        72:{2,5,6}:{(47,1),(48,1),(59,1),(94,1),(96,1),(98,1)}
        73:{1,5,7}:{(49,1),(52,1),(99,1),(100,1),(184,1),(188,1)}
        74:{1,4,6}:{(49,1),(50,1),(53,1),(99,1),(100,1),(101,1)}
        75:{1,3,5}:{(50,1),(51,1),(54,1),(100,1),(101,1),(102,1)}
        76:{1,2,4}:{(51,1),(101,1),(102,1),(145,1)}
        77:{2,6}:{(52,1),(55,1),(99,1)}
        78:{2,5}:{(53,1),(56,1),(100,1)}
        79:{2,4}:{(54,1),(57,1),(101,1),(106,1)}
        80:{1,3,6,7}:{(55,1),(58,1),(95,1),(103,1),(107,1),(182,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(59,1),(96,1),(104,1),(107,1),(108,1),(148,1)}
        82:{1,4,5}:{(56,1),(57,1),(97,1),(105,1),(108,1),(173,1)}
        83:{1,5,7}:{(58,1),(59,1),(98,1)}
        84:{1,4,7}:{(60,1),(62,1),(109,1),(110,1),(161,1)}
        85:{1,3,6}:{(60,1),(61,1),(63,1),(110,1),(111,1)}
        86:{1,2,5}:{(61,1),(111,1),(112,1),(176,1)}
        87:{2,5,7}:{(62,1),(64,1),(109,1),(113,1),(114,1),(160,1),(180,1)}
        88:{2,4,6}:{(62,1),(63,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,5}:{(63,1),(66,1),(111,1),(114,1),(115,1),(153,1),(156,1),(176,1)}
        90:{1,3,6}:{(64,1),(67,1),(69,1),(113,1)}
        91:{1,3,5}:{(65,1),(68,1),(70,1),(114,1),(118,1),(156,1)}
        92:{1,4}:{(66,1),(115,1)}
        93:{1,4,6,7}:{(67,1),(71,1),(116,1),(119,1),(122,1),(157,1),(158,1)}
        94:{1,5,6}:{(67,1),(68,1),(72,1),(119,1)}
        95:{3,6,7}:{(69,1),(71,1),(120,1),(163,1),(179,1)}
        96:{3,5,6}:{(69,1),(70,1),(72,1),(120,1),(121,1)}
        97:{4,5}:{(70,1),(121,1)}
        98:{2,5,7}:{(71,1),(72,1),(83,1),(119,1),(120,1)}
        99:{1,6}:{(73,1),(77,1)}
       100:{1,5}:{(74,1),(78,1)}
       101:{1,4}:{(75,1),(79,1)}
       102:{1,3}:{(76,1),(126,1)}
       103:{2,6,7}:{(77,1),(80,1),(122,1),(127,1),(186,1)}
       104:{2,5,6}:{(77,1),(78,1),(81,1),(123,1),(127,1),(128,1)}
       105:{2,4,5}:{(78,1),(79,1),(82,1),(124,1),(128,1),(129,1),(160,1)}
       106:{3,4}:{(79,1),(129,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(83,1),(120,1),(127,1),(130,1),(163,1)}
       108:{1,4,6}:{(81,1),(82,1),(121,1),(128,1),(130,1),(181,1)}
       109:{1,5,7}:{(84,1),(87,1),(131,1),(132,1),(173,1),(185,1)}
       110:{1,4,6}:{(84,1),(85,1),(88,1),(131,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(86,1),(89,1),(132,1),(133,1),(134,1)}
       112:{1,2,4}:{(86,1),(133,1),(134,1),(167,1)}
       113:{2,6}:{(87,1),(90,1),(131,1)}
       114:{2,5}:{(88,1),(91,1),(132,1)}
       115:{2,4}:{(89,1),(92,1),(133,1),(138,1)}
       116:{1,3,6,7}:{(90,1),(93,1),(95,1),(135,1),(139,1),(171,1)}
       117:{1,3,5,6}:{(90,1),(91,1),(94,1),(96,1),(136,1),(139,1),(140,1),(170,1)}
       118:{1,4,5}:{(91,1),(92,1),(97,1),(137,1),(140,1),(184,1)}
       119:{1,5,7}:{(93,1),(94,1),(98,1)}
       120:{3,5,7}:{(95,1),(96,1),(98,1),(141,1)}
       121:{4,6}:{(96,1),(97,1),(141,1)}
       122:{1,6,7}:{(99,1),(103,1),(142,1),(188,1)}
       123:{1,5,6}:{(99,1),(100,1),(104,1),(142,1),(143,1)}
       124:{1,4,5}:{(100,1),(101,1),(105,1),(143,1),(144,1)}
       125:{1,3,4}:{(101,1),(102,1),(106,1),(144,1),(145,1)}
       126:{2,3}:{(102,1),(145,1),(146,1)}
       127:{2,5,7}:{(103,1),(104,1),(107,1),(142,1),(147,1)}
       128:{2,4,6}:{(104,1),(105,1),(108,1),(143,1),(147,1),(148,1),(172,1)}
       129:{3,5}:{(105,1),(106,1),(148,1)}
       130:{1,4,7}:{(107,1),(108,1),(141,1),(147,1),(185,1)}
       131:{1,6}:{(109,1),(113,1)}
       132:{1,5}:{(110,1),(114,1)}
       133:{1,4}:{(111,1),(115,1)}
       134:{1,3}:{(112,1),(153,1)}
       135:{2,6,7}:{(113,1),(116,1),(149,1),(154,1),(180,1)}
       136:{2,5,6}:{(113,1),(114,1),(117,1),(150,1),(154,1),(155,1)}
       137:{2,4,5}:{(114,1),(115,1),(118,1),(151,1),(155,1),(156,1),(176,1)}
       138:{3,4}:{(115,1),(156,1)}
       139:{1,3,5,7}:{(116,1),(117,1),(119,1),(120,1),(154,1),(157,1),(179,1)}
       140:{1,4,6}:{(117,1),(118,1),(121,1),(155,1),(157,1),(187,1)}
       141:{4,7}:{(120,1),(121,1)}
       142:{1,5,7}:{(122,1),(123,1),(127,1),(158,1)}
       143:{1,4,6}:{(123,1),(124,1),(128,1),(158,1),(159,1)}
       144:{1,3,5}:{(124,1),(125,1),(129,1),(159,1),(160,1)}
       145:{2,4}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,3}:{(126,1),(161,1),(162,1)}
       147:{2,4,7}:{(127,1),(128,1),(130,1),(158,1),(163,1),(180,1)}
       148:{3,6}:{(128,1),(129,1),(163,1)}
       149:{1,6,7}:{(131,1),(135,1),(164,1),(185,1)}
       150:{1,5,6}:{(131,1),(132,1),(136,1),(164,1),(165,1)}
       151:{1,4,5}:{(132,1),(133,1),(137,1),(165,1),(166,1)}
       152:{1,3,4}:{(133,1),(134,1),(138,1),(166,1),(167,1)}
       153:{2,3}:{(134,1),(167,1),(168,1)}
       154:{2,5,7}:{(135,1),(136,1),(139,1),(164,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(140,1),(165,1),(169,1),(170,1),(183,1)}
       156:{3,5}:{(137,1),(138,1),(170,1)}
       157:{1,4,7}:{(139,1),(140,1),(141,1),(169,1),(188,1)}
       158:{1,4,7}:{(142,1),(143,1),(147,1),(171,1)}
       159:{1,3,6}:{(143,1),(144,1),(148,1),(171,1),(172,1)}
       160:{2,5}:{(144,1),(145,1),(172,1),(173,1)}
       161:{1,4}:{(145,1),(146,1),(173,1)}
       162:{1,2}:{(146,1)}
       163:{3,7}:{(147,1),(148,1)}
       164:{1,5,7}:{(149,1),(150,1),(154,1),(174,1)}
       165:{1,4,6}:{(150,1),(151,1),(155,1),(174,1),(175,1)}
       166:{1,3,5}:{(151,1),(152,1),(156,1),(175,1),(176,1)}
       167:{2,4}:{(152,1),(153,1),(176,1),(177,1)}
       168:{1,3}:{(153,1),(177,1),(178,1)}
       169:{2,4,7}:{(154,1),(155,1),(157,1),(174,1),(179,1),(186,1)}
       170:{3,6}:{(155,1),(156,1),(179,1)}
       171:{1,3,7}:{(158,1),(159,1),(163,1),(180,1)}
       172:{2,6}:{(159,1),(160,1),(180,1),(181,1)}
       173:{1,5}:{(160,1),(161,1),(181,1)}
       174:{1,4,7}:{(164,1),(165,1),(169,1),(182,1)}
       175:{1,3,6}:{(165,1),(166,1),(170,1),(182,1),(183,1)}
       176:{2,5}:{(166,1),(167,1),(183,1),(184,1)}
       177:{1,4}:{(167,1),(168,1),(184,1)}
       178:{1,2}:{(168,1)}
       179:{3,7}:{(169,1),(170,1)}
       180:{2,7}:{(171,1),(172,1),(185,1)}
       181:{1,6}:{(172,1),(173,1),(185,1)}
       182:{1,3,7}:{(174,1),(175,1),(179,1),(186,1)}
       183:{2,6}:{(175,1),(176,1),(186,1),(187,1)}
       184:{1,5}:{(176,1),(177,1),(187,1)}
       185:{1,7}:{(180,1),(181,1)}
       186:{2,7}:{(182,1),(183,1),(188,1)}
       187:{1,6}:{(183,1),(184,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 714 :   0:{1,2,6,7}:{(1,1),(2,1),(106,1),(183,1),(238,1),(251,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(7,1),(74,1),(196,1),(278,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(8,1),(75,1),(119,1),(221,1),(288,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(155,1),(184,1),(237,1),(251,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(94,1),(106,1),(155,1),(251,1),(252,1),(320,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(102,1),(106,1),(153,1),(180,1),(235,1),(238,1),(249,1)}
         6:{1,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(317,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(15,1),(16,1),(17,1),(86,1),(156,1)}
         8:{1,2,4,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(259,1),(322,1),(331,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(116,1),(143,1),(225,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(77,1),(117,1),(274,1),(288,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(22,1),(24,1),(25,1),(64,1),(292,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(23,1),(24,1),(25,1),(32,1),(58,1),(65,1),(75,1),(117,1),(288,1),(351,1),(355,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(23,1),(27,1),(28,1),(29,1),(70,1),(74,1),(114,1),(193,1),(196,1),(276,1),(278,1),(350,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(26,1),(27,1),(28,1),(71,1),(218,1),(286,1),(296,1)}
        15:{1,5,7}:{(6,1),(24,1),(29,1),(350,1)}
        16:{1,4,7}:{(7,1),(25,1),(27,1)}
        17:{1,3,7}:{(8,1),(28,1),(32,1),(355,1)}
        18:{1,2,5,6}:{(10,1),(33,1),(34,1),(104,1),(151,1),(155,1),(181,1),(184,1),(234,1),(249,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(35,1),(36,1),(83,1),(266,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(33,1),(35,1),(36,1),(37,1),(51,1),(107,1)}
        21:{1,2,4,7}:{(10,1),(34,1),(36,1),(37,1),(85,1),(310,1),(322,1),(371,1)}
        22:{3,4,6,7}:{(11,1),(38,1),(42,1),(88,1),(94,1),(320,1),(321,1),(379,1)}
        23:{2,3,5,6}:{(12,1),(13,1),(33,1),(39,1),(40,1),(46,1),(81,1),(91,1),(94,1),(102,1),(106,1),(151,1),(155,1),(249,1),(250,1),(252,1),(319,1),(323,1),(328,1)}
        24:{2,5,7}:{(11,1),(15,1),(35,1),(38,1),(40,1),(328,1)}
        25:{2,4,7}:{(12,1),(16,1),(36,1),(39,1),(42,1),(379,1)}
        26:{1,2,4,5}:{(14,1),(43,1),(44,1),(98,1),(102,1),(177,1),(235,1),(247,1),(254,1),(257,1),(315,1)}
        27:{1,4,6}:{(13,1),(16,1),(39,1),(44,1),(315,1)}
        28:{1,3,6}:{(14,1),(17,1),(43,1),(46,1),(323,1)}
        29:{1,5,6}:{(15,1),(40,1),(48,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(41,1),(44,1),(48,1),(49,1),(156,1)}
        31:{1,3,4,7}:{(16,1),(17,1),(42,1),(45,1),(49,1),(50,1)}
        32:{2,3,7}:{(17,1),(46,1),(50,1),(51,1),(331,1)}
        33:{1,3,5,6}:{(18,1),(20,1),(23,1),(53,1),(54,1),(55,1),(72,1),(112,1),(116,1),(140,1),(143,1),(223,1),(225,1),(304,1)}
        34:{1,2,4,6}:{(18,1),(21,1),(52,1),(53,1),(54,1),(113,1),(271,1),(286,1),(342,1)}
        35:{1,5,7}:{(19,1),(24,1),(55,1),(304,1)}
        36:{1,4,7}:{(20,1),(25,1),(53,1)}
        37:{1,3,7}:{(21,1),(54,1),(58,1),(355,1)}
        38:{3,5,7}:{(22,1),(24,1),(59,1),(60,1),(354,1)}
        39:{2,4,6}:{(23,1),(25,1),(27,1),(53,1),(61,1),(62,1),(290,1),(352,1)}
        40:{2,5,6}:{(24,1),(29,1),(55,1),(59,1),(64,1)}
        41:{2,4,5,7}:{(24,1),(25,1),(30,1),(56,1),(60,1),(61,1),(64,1),(65,1),(75,1),(117,1)}
        42:{3,4,7}:{(25,1),(62,1),(65,1),(355,1)}
        43:{1,3,5}:{(26,1),(28,1),(67,1),(68,1),(287,1),(294,1)}
        44:{1,4,5}:{(27,1),(61,1),(70,1),(193,1),(350,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(31,1),(62,1),(67,1),(70,1),(71,1),(74,1)}
        46:{2,3,6}:{(28,1),(32,1),(68,1),(71,1),(72,1),(296,1)}
        47:{1,5,6,7}:{(29,1),(63,1),(73,1),(280,1),(368,1)}
        48:{1,4,6}:{(29,1),(30,1),(64,1),(74,1),(196,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(65,1),(70,1),(74,1),(75,1)}
        50:{2,4,7}:{(31,1),(32,1),(71,1),(75,1),(76,1)}
        51:{1,3,7}:{(32,1),(72,1),(76,1),(77,1)}
        52:{1,2,4,5}:{(34,1),(78,1),(79,1),(147,1),(151,1),(181,1),(231,1),(247,1),(264,1),(305,1),(308,1)}
        53:{1,4,6}:{(33,1),(36,1),(39,1),(79,1),(264,1)}
        54:{1,3,6}:{(34,1),(37,1),(78,1),(81,1),(323,1)}
        55:{1,5,6}:{(35,1),(40,1),(83,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(41,1),(79,1),(83,1),(84,1),(107,1)}
        57:{1,3,4,7}:{(36,1),(37,1),(42,1),(80,1),(84,1),(85,1)}
        58:{2,3,7}:{(37,1),(81,1),(85,1),(86,1),(371,1)}
        59:{3,5,6}:{(38,1),(40,1),(88,1),(94,1)}
        60:{4,5,7}:{(38,1),(88,1),(379,1),(380,1)}
        61:{2,4,5}:{(39,1),(44,1),(79,1),(91,1),(102,1),(151,1),(328,1),(380,1)}
        62:{3,4,6}:{(39,1),(42,1),(91,1),(94,1),(323,1),(324,1)}
        63:{2,5,6,7}:{(40,1),(47,1),(82,1),(87,1),(93,1),(240,1),(318,1),(385,1)}
        64:{2,4,6}:{(40,1),(41,1),(48,1),(83,1),(88,1),(94,1),(106,1),(155,1)}
        65:{3,5,7}:{(41,1),(42,1),(91,1),(94,1)}
        66:{2,3,4,7}:{(42,1),(50,1),(85,1),(92,1),(95,1),(96,1),(172,1),(245,1),(253,1),(255,1),(306,1),(382,1),(388,1),(411,1)}
        67:{1,3,4}:{(43,1),(98,1),(315,1),(324,1)}
        68:{2,3,5}:{(43,1),(46,1),(98,1),(99,1),(102,1),(257,1),(258,1)}
        69:{1,4,5,6}:{(44,1),(48,1),(90,1),(100,1),(101,1),(234,1),(241,1),(246,1),(337,1),(391,1)}
        70:{1,3,5}:{(44,1),(45,1),(91,1),(102,1)}
        71:{2,4,6}:{(45,1),(46,1),(50,1),(98,1),(102,1),(103,1),(106,1)}
        72:{1,3,6}:{(46,1),(51,1),(99,1),(103,1),(104,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(93,1),(100,1),(105,1),(237,1),(391,1)}
        74:{1,3,6}:{(48,1),(49,1),(94,1),(106,1)}
        75:{2,5,7}:{(49,1),(50,1),(102,1),(106,1),(107,1)}
        76:{1,4,7}:{(50,1),(51,1),(103,1),(107,1)}
        77:{1,2,7}:{(51,1),(104,1),(331,1)}
        78:{1,3,5}:{(52,1),(54,1),(109,1),(110,1),(287,1),(340,1)}
        79:{1,4,5}:{(53,1),(61,1),(112,1),(140,1),(304,1)}
        80:{1,3,4,6}:{(53,1),(54,1),(57,1),(62,1),(109,1),(112,1),(113,1),(116,1)}
        81:{2,3,6}:{(54,1),(58,1),(110,1),(113,1),(114,1),(342,1)}
        82:{1,5,6,7}:{(55,1),(63,1),(115,1),(280,1),(400,1)}
        83:{1,4,6}:{(55,1),(56,1),(64,1),(116,1),(143,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(65,1),(112,1),(116,1),(117,1)}
        85:{2,4,7}:{(57,1),(58,1),(113,1),(117,1),(118,1)}
        86:{1,3,7}:{(58,1),(114,1),(118,1),(119,1)}
        87:{3,5,6,7}:{(59,1),(63,1),(121,1),(129,1),(199,1),(351,1),(402,1)}
        88:{4,6}:{(59,1),(60,1)}
        89:{3,4,5,7}:{(60,1),(65,1),(122,1),(123,1),(124,1),(199,1),(204,1),(284,1),(354,1),(401,1),(403,1)}
        90:{2,4,5,6}:{(61,1),(64,1),(69,1),(111,1),(120,1),(125,1),(126,1),(139,1),(192,1),(200,1),(205,1),(281,1),(286,1),(352,1),(358,1),(404,1)}
        91:{3,5}:{(61,1),(62,1)}
        92:{2,3,4,6}:{(62,1),(66,1),(71,1),(113,1),(127,1),(128,1),(130,1),(133,1),(186,1),(205,1),(210,1),(214,1),(267,1),(290,1),(292,1),(356,1),(364,1),(396,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(73,1),(115,1),(121,1),(125,1),(129,1),(142,1),(195,1),(404,1)}
        94:{3,6}:{(64,1),(65,1)}
        95:{2,3,5,7}:{(65,1),(66,1),(75,1),(117,1),(123,1),(127,1),(130,1),(131,1),(403,1),(407,1),(421,1)}
        96:{1,3,4,7}:{(66,1),(76,1),(118,1),(128,1),(131,1),(132,1),(145,1),(198,1),(226,1),(279,1),(284,1),(285,1),(295,1),(341,1),(355,1),(405,1),(419,1)}
        97:{1,3,4,5}:{(67,1),(70,1),(124,1),(134,1),(135,1),(206,1),(215,1),(287,1),(300,1),(366,1)}
        98:{2,4}:{(67,1),(68,1),(136,1)}
        99:{1,3,5}:{(68,1),(72,1),(136,1),(137,1),(140,1),(220,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(125,1),(138,1),(274,1),(280,1),(285,1)}
       101:{1,3,5,6}:{(69,1),(70,1),(74,1),(126,1),(134,1),(138,1),(139,1),(366,1),(408,1)}
       102:{2,5}:{(70,1),(71,1),(140,1)}
       103:{1,4,6}:{(71,1),(72,1),(76,1),(136,1),(140,1),(143,1)}
       104:{1,2,6}:{(72,1),(77,1),(137,1),(296,1)}
       105:{1,3,6,7}:{(73,1),(74,1),(129,1),(138,1),(142,1),(408,1)}
       106:{2,6}:{(74,1),(75,1),(143,1)}
       107:{1,5,7}:{(75,1),(76,1),(140,1),(143,1)}
       108:{1,2,4,7}:{(76,1),(77,1),(132,1),(141,1),(144,1),(145,1),(226,1),(392,1),(419,1)}
       109:{1,3,4}:{(78,1),(147,1),(264,1),(324,1)}
       110:{2,3,5}:{(78,1),(81,1),(147,1),(148,1),(151,1),(308,1),(309,1)}
       111:{1,4,5,6}:{(79,1),(83,1),(90,1),(149,1),(150,1),(180,1),(241,1),(246,1),(377,1),(414,1)}
       112:{1,3,5}:{(79,1),(80,1),(91,1),(151,1)}
       113:{2,4,6}:{(80,1),(81,1),(85,1),(147,1),(151,1),(152,1),(155,1)}
       114:{1,3,6}:{(81,1),(86,1),(148,1),(152,1),(153,1)}
       115:{1,4,6,7}:{(82,1),(83,1),(93,1),(149,1),(154,1),(183,1),(414,1)}
       116:{1,3,6}:{(83,1),(84,1),(94,1),(155,1)}
       117:{2,5,7}:{(84,1),(85,1),(151,1),(155,1),(156,1)}
       118:{1,4,7}:{(85,1),(86,1),(152,1),(156,1)}
       119:{1,2,7}:{(86,1),(153,1),(371,1)}
       120:{4,5,6}:{(88,1),(158,1),(159,1),(380,1),(415,1)}
       121:{4,6,7}:{(87,1),(88,1),(158,1),(379,1),(415,1)}
       122:{3,4,6}:{(88,1),(89,1),(94,1),(159,1),(161,1),(415,1),(416,1)}
       123:{2,4,5,7}:{(89,1),(95,1),(161,1),(162,1),(164,1),(240,1),(245,1),(253,1),(328,1)}
       124:{3,4,5}:{(91,1),(163,1),(164,1),(324,1),(380,1),(383,1)}
       125:{2,4,5,7}:{(90,1),(93,1),(100,1),(149,1),(158,1),(165,1),(179,1),(233,1),(240,1),(245,1),(318,1),(322,1),(379,1)}
       126:{3,5,6}:{(90,1),(91,1),(94,1),(163,1),(165,1),(323,1),(383,1),(416,1)}
       127:{2,3,5}:{(91,1),(92,1),(102,1),(151,1),(164,1),(167,1),(328,1),(383,1),(389,1),(412,1)}
       128:{1,3,4,6}:{(92,1),(96,1),(103,1),(152,1),(167,1),(168,1),(170,1),(174,1),(182,1),(228,1),(236,1),(246,1),(256,1),(264,1),(266,1),(307,1),(315,1),(317,1),(321,1),(323,1),(324,1),(387,1),(410,1)}
       129:{3,6,7}:{(93,1),(94,1),(165,1),(416,1)}
       130:{2,3,6}:{(94,1),(95,1),(106,1),(155,1),(161,1),(170,1),(416,1),(418,1),(425,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(107,1),(156,1),(162,1),(167,1),(170,1),(171,1),(244,1),(417,1),(424,1)}
       132:{2,4,7}:{(96,1),(168,1),(171,1),(172,1),(331,1),(371,1)}
       133:{2,3,4}:{(98,1),(173,1),(174,1),(258,1),(324,1),(333,1)}
       134:{1,3,4,6}:{(97,1),(101,1),(163,1),(175,1),(176,1),(246,1),(256,1),(323,1)}
       135:{2,4,5}:{(97,1),(98,1),(102,1),(173,1),(176,1),(177,1),(257,1),(333,1),(389,1)}
       136:{1,4}:{(98,1),(99,1)}
       137:{1,2,5}:{(99,1),(104,1),(178,1),(257,1)}
       138:{1,3,5,7}:{(100,1),(101,1),(105,1),(165,1),(175,1),(179,1)}
       139:{2,5,6}:{(101,1),(102,1),(106,1),(176,1),(179,1),(180,1),(389,1),(418,1)}
       140:{1,5}:{(102,1),(103,1)}
       141:{1,2,4,6}:{(103,1),(104,1),(108,1),(168,1),(178,1),(181,1),(182,1),(184,1),(264,1),(266,1),(305,1),(369,1),(410,1)}
       142:{2,6,7}:{(105,1),(106,1),(179,1),(183,1),(418,1)}
       143:{1,6}:{(106,1),(107,1)}
       144:{1,2,5,7}:{(107,1),(108,1),(171,1),(181,1),(184,1),(185,1),(424,1)}
       145:{1,3,7}:{(108,1),(172,1),(182,1)}
       146:{1,3,4,5}:{(109,1),(112,1),(124,1),(187,1),(188,1),(206,1),(268,1),(287,1),(346,1),(398,1)}
       147:{2,4}:{(109,1),(110,1),(189,1)}
       148:{1,3,5}:{(110,1),(114,1),(189,1),(190,1),(193,1),(273,1)}
       149:{1,4,5,7}:{(111,1),(115,1),(125,1),(191,1),(221,1),(280,1),(285,1)}
       150:{1,3,5,6}:{(111,1),(112,1),(116,1),(126,1),(187,1),(191,1),(192,1),(398,1),(422,1)}
       151:{2,5}:{(112,1),(113,1),(193,1)}
       152:{1,4,6}:{(113,1),(114,1),(118,1),(189,1),(193,1),(196,1)}
       153:{1,2,6}:{(114,1),(119,1),(190,1),(342,1)}
       154:{1,3,6,7}:{(115,1),(116,1),(129,1),(191,1),(195,1),(422,1)}
       155:{2,6}:{(116,1),(117,1),(196,1)}
       156:{1,5,7}:{(117,1),(118,1),(193,1),(196,1)}
       157:{1,2,4,7}:{(118,1),(119,1),(132,1),(194,1),(197,1),(198,1),(279,1),(360,1),(405,1)}
       158:{4,5,7}:{(120,1),(121,1),(199,1)}
       159:{3,5,6}:{(120,1),(122,1),(199,1),(200,1),(354,1)}
       160:{3,4,6,7}:{(121,1),(122,1),(129,1),(199,1),(201,1),(204,1)}
       161:{2,4,6}:{(122,1),(123,1),(130,1),(200,1),(202,1)}
       162:{1,4,5,7}:{(123,1),(131,1),(202,1),(203,1),(206,1),(226,1),(279,1),(280,1),(285,1),(304,1),(350,1)}
       163:{3,4,6}:{(124,1),(126,1),(204,1),(205,1),(352,1)}
       164:{2,4,5}:{(124,1),(127,1),(205,1),(206,1),(290,1)}
       165:{3,5,7}:{(125,1),(126,1),(129,1),(204,1),(355,1)}
       166:{2,3,5,6}:{(126,1),(127,1),(130,1),(139,1),(192,1),(200,1),(205,1),(207,1),(208,1),(214,1),(267,1)}
       167:{1,3,5}:{(127,1),(128,1),(140,1),(193,1),(206,1),(209,1),(287,1),(304,1),(350,1),(354,1),(406,1),(420,1)}
       168:{2,4,6}:{(128,1),(132,1),(209,1),(210,1),(212,1),(216,1),(269,1),(290,1),(296,1),(342,1)}
       169:{2,3,6,7}:{(129,1),(130,1),(142,1),(195,1),(201,1),(207,1),(211,1)}
       170:{1,3,6}:{(130,1),(131,1),(143,1),(196,1),(202,1),(212,1),(283,1),(423,1),(426,1)}
       171:{2,5,7}:{(131,1),(132,1),(209,1),(212,1)}
       172:{2,3,7}:{(132,1),(145,1),(198,1),(210,1),(355,1)}
       173:{2,3,5}:{(133,1),(135,1),(214,1),(215,1),(287,1)}
       174:{1,3,4}:{(133,1),(136,1),(215,1),(216,1),(220,1),(294,1),(362,1)}
       175:{1,3,4,7}:{(134,1),(138,1),(204,1),(217,1),(285,1),(295,1),(355,1)}
       176:{2,4,6}:{(134,1),(135,1),(139,1),(214,1),(217,1),(218,1),(296,1)}
       177:{1,4,5}:{(135,1),(136,1),(140,1),(215,1),(218,1),(362,1),(406,1)}
       178:{1,2,4}:{(136,1),(137,1),(216,1),(220,1)}
       179:{2,5,7}:{(138,1),(139,1),(142,1),(217,1),(221,1)}
       180:{1,5,6}:{(139,1),(140,1),(143,1),(218,1),(221,1),(406,1),(423,1)}
       181:{1,2,5}:{(140,1),(141,1),(209,1),(223,1),(304,1),(420,1)}
       182:{1,3,6}:{(141,1),(145,1),(210,1),(220,1),(223,1),(340,1)}
       183:{1,6,7}:{(142,1),(143,1),(221,1),(423,1)}
       184:{1,2,6}:{(143,1),(144,1),(212,1),(225,1),(426,1)}
       185:{1,3,5,7}:{(144,1),(145,1),(213,1),(223,1),(225,1),(226,1),(304,1)}
       186:{2,3,4}:{(147,1),(227,1),(228,1),(309,1),(324,1),(373,1)}
       187:{1,3,4,6}:{(146,1),(150,1),(163,1),(229,1),(230,1),(246,1),(307,1),(323,1)}
       188:{2,4,5}:{(146,1),(147,1),(151,1),(227,1),(230,1),(231,1),(308,1),(373,1),(412,1)}
       189:{1,4}:{(147,1),(148,1)}
       190:{1,2,5}:{(148,1),(153,1),(232,1),(308,1)}
       191:{1,3,5,7}:{(149,1),(150,1),(154,1),(165,1),(229,1),(233,1)}
       192:{2,5,6}:{(150,1),(151,1),(155,1),(230,1),(233,1),(234,1),(412,1),(425,1)}
       193:{1,5}:{(151,1),(152,1)}
       194:{1,2,4,6}:{(152,1),(153,1),(157,1),(168,1),(232,1),(235,1),(236,1),(238,1),(254,1),(315,1),(317,1),(329,1),(387,1)}
       195:{2,6,7}:{(154,1),(155,1),(233,1),(237,1),(425,1)}
       196:{1,6}:{(155,1),(156,1)}
       197:{1,2,5,7}:{(156,1),(157,1),(171,1),(235,1),(238,1),(239,1),(417,1)}
       198:{1,3,7}:{(157,1),(172,1),(236,1)}
       199:{3,5,7}:{(158,1),(159,1),(160,1),(240,1)}
       200:{2,5,6}:{(159,1),(161,1),(240,1),(241,1),(328,1)}
       201:{2,4,6,7}:{(160,1),(161,1),(169,1),(240,1),(242,1),(245,1)}
       202:{1,4,6}:{(161,1),(162,1),(170,1),(241,1),(243,1)}
       203:{2,4,5,7}:{(162,1),(171,1),(243,1),(244,1),(247,1),(253,1),(318,1),(322,1),(328,1),(379,1),(380,1)}
       204:{3,4,7}:{(163,1),(165,1),(245,1),(379,1)}
       205:{2,4,6}:{(163,1),(164,1),(166,1),(245,1),(246,1)}
       206:{1,4,5}:{(164,1),(167,1),(246,1),(247,1),(264,1),(315,1),(380,1)}
       207:{2,3,5,7}:{(165,1),(166,1),(169,1),(179,1),(233,1),(240,1),(245,1),(248,1),(255,1),(306,1)}
       208:{1,3,5,6}:{(166,1),(167,1),(170,1),(180,1),(234,1),(241,1),(246,1),(248,1),(249,1),(256,1),(307,1),(319,1),(323,1)}
       209:{2,5}:{(167,1),(168,1)}
       210:{2,3,6}:{(168,1),(172,1),(182,1),(236,1),(250,1),(258,1),(309,1),(323,1)}
       211:{1,3,6,7}:{(169,1),(170,1),(183,1),(237,1),(242,1),(248,1),(251,1),(320,1)}
       212:{2,6}:{(170,1),(171,1)}
       213:{2,3,5,7}:{(171,1),(172,1),(185,1),(239,1),(244,1),(250,1),(252,1),(253,1),(328,1)}
       214:{2,3,6}:{(173,1),(176,1),(255,1),(256,1),(323,1)}
       215:{1,3,5}:{(173,1),(174,1),(177,1),(256,1),(257,1)}
       216:{2,4}:{(174,1),(257,1),(258,1)}
       217:{2,4,7}:{(175,1),(176,1),(179,1),(255,1),(259,1),(331,1)}
       218:{1,4,6}:{(176,1),(177,1),(180,1),(256,1),(259,1)}
       219:{1,2,4,5}:{(177,1),(178,1),(181,1),(247,1),(257,1),(260,1),(261,1),(264,1),(333,1),(337,1),(389,1)}
       220:{1,3}:{(178,1),(258,1)}
       221:{1,5,7}:{(179,1),(180,1),(183,1),(259,1)}
       222:{1,2,5,6}:{(180,1),(181,1),(184,1),(249,1),(260,1),(262,1),(263,1),(369,1),(389,1),(418,1)}
       223:{1,3,5}:{(181,1),(182,1),(250,1),(264,1)}
       224:{1,2,6,7}:{(183,1),(184,1),(251,1),(262,1),(265,1),(418,1)}
       225:{1,3,6}:{(184,1),(185,1),(252,1),(266,1)}
       226:{1,4,7}:{(185,1),(253,1),(264,1),(266,1)}
       227:{2,3,5}:{(186,1),(188,1),(267,1),(268,1),(287,1)}
       228:{1,3,4}:{(186,1),(189,1),(268,1),(269,1),(273,1),(340,1),(394,1)}
       229:{1,3,4,7}:{(187,1),(191,1),(204,1),(270,1),(285,1),(341,1),(355,1)}
       230:{2,4,6}:{(187,1),(188,1),(192,1),(267,1),(270,1),(271,1),(342,1)}
       231:{1,4,5}:{(188,1),(189,1),(193,1),(268,1),(271,1),(394,1),(420,1)}
       232:{1,2,4}:{(189,1),(190,1),(269,1),(273,1)}
       233:{2,5,7}:{(191,1),(192,1),(195,1),(270,1),(274,1)}
       234:{1,5,6}:{(192,1),(193,1),(196,1),(271,1),(274,1),(420,1),(426,1)}
       235:{1,2,5}:{(193,1),(194,1),(209,1),(276,1),(350,1),(406,1)}
       236:{1,3,6}:{(194,1),(198,1),(210,1),(273,1),(276,1),(294,1)}
       237:{1,6,7}:{(195,1),(196,1),(274,1),(426,1)}
       238:{1,2,6}:{(196,1),(197,1),(212,1),(278,1),(423,1)}
       239:{1,3,5,7}:{(197,1),(198,1),(213,1),(276,1),(278,1),(279,1),(350,1)}
       240:{2,5,7}:{(199,1),(200,1),(201,1),(280,1)}
       241:{1,5,6}:{(200,1),(202,1),(280,1),(281,1),(304,1),(350,1)}
       242:{1,4,6,7}:{(201,1),(202,1),(211,1),(280,1),(282,1),(285,1)}
       243:{2,4,6}:{(202,1),(203,1),(212,1),(281,1),(283,1),(352,1)}
       244:{3,5,7}:{(203,1),(283,1),(284,1),(287,1),(354,1),(355,1)}
       245:{2,4,7}:{(204,1),(205,1),(207,1),(285,1)}
       246:{1,4,6}:{(205,1),(206,1),(208,1),(285,1),(286,1),(352,1)}
       247:{2,4,5}:{(206,1),(209,1),(286,1),(287,1),(290,1)}
       248:{1,3,5,7}:{(207,1),(208,1),(211,1),(221,1),(274,1),(280,1),(285,1),(288,1),(295,1),(341,1),(351,1),(355,1)}
       249:{2,5,6}:{(208,1),(209,1),(212,1),(286,1),(288,1),(296,1),(342,1)}
       250:{2,3,5}:{(209,1),(210,1),(223,1),(276,1),(287,1),(290,1)}
       251:{2,6,7}:{(211,1),(212,1),(288,1)}
       252:{2,3,6}:{(212,1),(213,1),(225,1),(278,1),(283,1),(292,1)}
       253:{2,4,7}:{(213,1),(226,1),(279,1),(284,1),(290,1),(292,1)}
       254:{1,2,4}:{(216,1),(293,1),(294,1),(362,1)}
       255:{2,3,7}:{(214,1),(217,1),(295,1),(355,1)}
       256:{1,3,6}:{(214,1),(215,1),(218,1),(295,1),(296,1)}
       257:{2,5}:{(215,1),(216,1),(296,1)}
       258:{2,3}:{(216,1),(220,1),(294,1)}
       259:{1,4,7}:{(217,1),(218,1),(221,1),(295,1)}
       260:{1,2,4,6}:{(218,1),(219,1),(222,1),(286,1),(296,1),(298,1),(299,1),(302,1),(364,1)}
       261:{1,3,5}:{(219,1),(220,1),(287,1),(297,1),(299,1),(300,1)}
       262:{1,2,5,7}:{(221,1),(222,1),(224,1),(288,1),(298,1),(301,1),(392,1),(407,1)}
       263:{1,3,5,6}:{(222,1),(223,1),(225,1),(289,1),(299,1),(301,1),(302,1),(304,1),(366,1),(368,1),(393,1),(408,1),(420,1),(426,1)}
       264:{1,4}:{(223,1),(290,1)}
       265:{1,3,6,7}:{(224,1),(225,1),(291,1),(301,1),(303,1),(408,1),(426,1)}
       266:{1,4,6}:{(225,1),(226,1),(292,1),(304,1)}
       267:{2,3,6}:{(227,1),(230,1),(306,1),(307,1),(323,1)}
       268:{1,3,5}:{(227,1),(228,1),(231,1),(307,1),(308,1)}
       269:{2,4}:{(228,1),(308,1),(309,1)}
       270:{2,4,7}:{(229,1),(230,1),(233,1),(306,1),(310,1),(371,1)}
       271:{1,4,6}:{(230,1),(231,1),(234,1),(307,1),(310,1)}
       272:{1,2,4,5}:{(231,1),(232,1),(235,1),(247,1),(308,1),(311,1),(312,1),(315,1),(373,1),(377,1),(412,1)}
       273:{1,3}:{(232,1),(309,1)}
       274:{1,5,7}:{(233,1),(234,1),(237,1),(310,1)}
       275:{1,2,5,6}:{(234,1),(235,1),(238,1),(249,1),(311,1),(313,1),(314,1),(329,1),(412,1),(425,1)}
       276:{1,3,5}:{(235,1),(236,1),(250,1),(315,1)}
       277:{1,2,6,7}:{(237,1),(238,1),(251,1),(313,1),(316,1),(425,1)}
       278:{1,3,6}:{(238,1),(239,1),(252,1),(317,1)}
       279:{1,4,7}:{(239,1),(253,1),(315,1),(317,1)}
       280:{1,5,7}:{(240,1),(241,1),(242,1),(318,1)}
       281:{2,5,6}:{(241,1),(243,1),(318,1),(319,1),(328,1)}
       282:{2,4,6,7}:{(242,1),(243,1),(251,1),(318,1),(320,1),(322,1),(379,1)}
       283:{3,6}:{(243,1),(244,1)}
       284:{3,4,7}:{(244,1),(253,1),(321,1),(324,1),(379,1)}
       285:{1,4,7}:{(245,1),(246,1),(248,1),(322,1),(379,1)}
       286:{2,4,6}:{(246,1),(247,1),(249,1),(322,1),(323,1)}
       287:{3,5}:{(247,1),(323,1),(324,1)}
       288:{2,5,7}:{(248,1),(249,1),(251,1),(322,1),(331,1),(371,1)}
       289:{2,3,5,6}:{(249,1),(250,1),(252,1),(263,1),(314,1),(319,1),(323,1),(325,1),(326,1),(328,1),(332,1),(372,1),(383,1),(385,1),(389,1),(412,1),(416,1),(418,1),(425,1)}
       290:{2,4}:{(250,1),(264,1),(315,1),(324,1)}
       291:{2,3,6,7}:{(251,1),(252,1),(265,1),(316,1),(320,1),(325,1),(327,1),(416,1),(418,1),(425,1)}
       292:{2,4,6}:{(252,1),(253,1),(266,1),(317,1),(321,1),(328,1)}
       293:{1,2,5}:{(254,1),(257,1),(329,1),(330,1)}
       294:{1,3}:{(254,1),(258,1)}
       295:{1,3,7}:{(255,1),(256,1),(259,1),(331,1)}
       296:{2,6}:{(256,1),(257,1),(331,1)}
       297:{2,3,5}:{(257,1),(258,1),(261,1),(330,1),(332,1),(333,1),(389,1)}
       298:{1,2,4,7}:{(259,1),(260,1),(262,1),(322,1),(331,1),(334,1),(336,1),(388,1)}
       299:{1,3,6}:{(260,1),(261,1),(323,1),(332,1),(334,1)}
       300:{1,3,4}:{(261,1),(264,1),(324,1),(333,1)}
       301:{1,3,5,7}:{(262,1),(263,1),(265,1),(325,1),(334,1),(336,1),(338,1),(409,1),(424,1)}
       302:{1,4,6}:{(263,1),(264,1),(326,1),(336,1),(337,1)}
       303:{1,4,6,7}:{(265,1),(266,1),(327,1),(336,1),(338,1),(391,1)}
       304:{1,5}:{(266,1),(328,1)}
       305:{1,2,4}:{(269,1),(339,1),(340,1),(394,1)}
       306:{2,3,7}:{(267,1),(270,1),(341,1),(355,1)}
       307:{1,3,6}:{(267,1),(268,1),(271,1),(341,1),(342,1)}
       308:{2,5}:{(268,1),(269,1),(342,1)}
       309:{2,3}:{(269,1),(273,1),(340,1)}
       310:{1,4,7}:{(270,1),(271,1),(274,1),(341,1)}
       311:{1,2,4,6}:{(271,1),(272,1),(275,1),(286,1),(342,1),(344,1),(345,1),(348,1),(396,1)}
       312:{1,3,5}:{(272,1),(273,1),(287,1),(343,1),(345,1),(346,1)}
       313:{1,2,5,7}:{(274,1),(275,1),(277,1),(288,1),(344,1),(347,1),(360,1),(421,1)}
       314:{1,3,5,6}:{(275,1),(276,1),(278,1),(289,1),(345,1),(347,1),(348,1),(350,1),(361,1),(398,1),(400,1),(406,1),(422,1),(423,1)}
       315:{1,4}:{(276,1),(290,1)}
       316:{1,3,6,7}:{(277,1),(278,1),(291,1),(347,1),(349,1),(422,1),(423,1)}
       317:{1,4,6}:{(278,1),(279,1),(292,1),(350,1)}
       318:{2,5,7}:{(280,1),(281,1),(282,1),(351,1)}
       319:{3,5,6}:{(281,1),(283,1),(351,1),(352,1),(354,1)}
       320:{3,6,7}:{(282,1),(283,1),(351,1),(355,1)}
       321:{3,4,6}:{(283,1),(284,1),(292,1),(352,1),(354,1)}
       322:{2,4,7}:{(285,1),(286,1),(288,1),(355,1)}
       323:{3,6}:{(286,1),(287,1),(355,1)}
       324:{3,4}:{(287,1),(290,1)}
       325:{2,3,5,7}:{(288,1),(289,1),(291,1),(301,1),(347,1),(351,1),(355,1),(357,1),(359,1),(363,1),(395,1),(403,1),(407,1),(421,1)}
       326:{2,4,6}:{(289,1),(290,1),(302,1),(348,1),(352,1),(356,1),(357,1),(358,1)}
       327:{2,4,6,7}:{(291,1),(292,1),(303,1),(349,1),(353,1),(357,1),(359,1),(404,1)}
       328:{2,5}:{(292,1),(304,1),(350,1),(354,1)}
       329:{1,2,6}:{(293,1),(296,1),(360,1),(361,1)}
       330:{1,3,5}:{(293,1),(294,1),(297,1),(361,1),(362,1),(406,1)}
       331:{2,7}:{(295,1),(296,1)}
       332:{2,3,6}:{(296,1),(297,1),(299,1),(361,1),(363,1),(364,1)}
       333:{2,4}:{(297,1),(300,1),(362,1)}
       334:{1,3,7}:{(298,1),(299,1),(355,1),(363,1)}
       335:{1,3,4,6}:{(299,1),(300,1),(302,1),(356,1),(364,1),(365,1),(366,1),(408,1)}
       336:{1,4,7}:{(301,1),(302,1),(357,1)}
       337:{1,4,5}:{(302,1),(304,1),(358,1),(366,1),(420,1)}
       338:{1,5,7}:{(303,1),(304,1),(359,1),(368,1)}
       339:{1,2,5}:{(305,1),(308,1),(369,1),(370,1)}
       340:{1,3}:{(305,1),(309,1)}
       341:{1,3,7}:{(306,1),(307,1),(310,1),(371,1)}
       342:{2,6}:{(307,1),(308,1),(371,1)}
       343:{2,3,5}:{(308,1),(309,1),(312,1),(370,1),(372,1),(373,1),(412,1)}
       344:{1,2,4,7}:{(310,1),(311,1),(313,1),(322,1),(371,1),(374,1),(376,1),(411,1)}
       345:{1,3,6}:{(311,1),(312,1),(323,1),(372,1),(374,1)}
       346:{1,3,4}:{(312,1),(315,1),(324,1),(373,1)}
       347:{1,3,5,7}:{(313,1),(314,1),(316,1),(325,1),(374,1),(376,1),(378,1),(386,1),(417,1)}
       348:{1,4,6}:{(314,1),(315,1),(326,1),(376,1),(377,1)}
       349:{1,4,6,7}:{(316,1),(317,1),(327,1),(376,1),(378,1),(414,1)}
       350:{1,5}:{(317,1),(328,1)}
       351:{3,5,7}:{(318,1),(319,1),(320,1),(379,1)}
       352:{4,6}:{(319,1),(379,1),(380,1)}
       353:{3,4,6,7}:{(320,1),(321,1),(327,1),(379,1),(381,1),(382,1),(415,1),(416,1)}
       354:{3,5}:{(321,1),(328,1),(380,1)}
       355:{3,7}:{(322,1),(323,1)}
       356:{3,4,6}:{(323,1),(324,1),(326,1),(382,1),(383,1),(416,1)}
       357:{2,4,7}:{(325,1),(326,1),(336,1),(376,1),(379,1),(382,1)}
       358:{2,4,5}:{(326,1),(328,1),(337,1),(377,1),(380,1),(383,1),(389,1),(412,1)}
       359:{2,5,7}:{(327,1),(328,1),(338,1),(378,1),(381,1),(385,1)}
       360:{1,2,7}:{(329,1),(331,1),(386,1)}
       361:{1,3,6}:{(329,1),(330,1),(332,1),(386,1),(387,1)}
       362:{1,4}:{(330,1),(333,1)}
       363:{2,3,7}:{(331,1),(332,1),(334,1),(386,1),(388,1)}
       364:{2,4,6}:{(332,1),(333,1),(335,1),(387,1),(388,1),(389,1),(418,1)}
       365:{1,3,4,7}:{(334,1),(335,1),(336,1),(382,1),(388,1),(390,1)}
       366:{1,3,5}:{(335,1),(337,1),(383,1),(389,1)}
       367:{1,4,5,7}:{(336,1),(337,1),(338,1),(384,1),(390,1),(391,1),(424,1)}
       368:{1,5,6}:{(338,1),(385,1),(391,1)}
       369:{1,2,6}:{(339,1),(342,1),(392,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(343,1),(393,1),(394,1),(420,1)}
       371:{2,7}:{(341,1),(342,1)}
       372:{2,3,6}:{(342,1),(343,1),(345,1),(393,1),(395,1),(396,1)}
       373:{2,4}:{(343,1),(346,1),(394,1)}
       374:{1,3,7}:{(344,1),(345,1),(355,1),(395,1)}
       375:{1,3,4,6}:{(345,1),(346,1),(348,1),(356,1),(396,1),(397,1),(398,1),(422,1)}
       376:{1,4,7}:{(347,1),(348,1),(357,1)}
       377:{1,4,5}:{(348,1),(350,1),(358,1),(398,1),(406,1)}
       378:{1,5,7}:{(349,1),(350,1),(359,1),(400,1)}
       379:{4,7}:{(351,1),(352,1)}
       380:{4,5}:{(352,1),(354,1)}
       381:{3,5,7}:{(353,1),(354,1),(359,1),(401,1),(402,1)}
       382:{3,4,7}:{(355,1),(356,1),(357,1),(403,1)}
       383:{3,5}:{(356,1),(358,1)}
       384:{2,4,5,7}:{(357,1),(358,1),(359,1),(367,1),(399,1),(401,1),(403,1),(404,1),(407,1),(421,1)}
       385:{2,5,6}:{(359,1),(368,1),(400,1),(402,1),(404,1)}
       386:{1,3,7}:{(360,1),(361,1),(363,1),(405,1)}
       387:{1,4,6}:{(361,1),(362,1),(364,1),(405,1),(406,1),(423,1)}
       388:{2,4,7}:{(363,1),(364,1),(365,1),(405,1),(407,1)}
       389:{2,5}:{(364,1),(366,1),(406,1)}
       390:{1,3,5,7}:{(365,1),(366,1),(367,1),(403,1),(407,1),(408,1)}
       391:{1,4,6}:{(367,1),(368,1),(404,1),(408,1),(426,1)}
       392:{1,2,7}:{(369,1),(371,1),(409,1)}
       393:{1,3,6}:{(369,1),(370,1),(372,1),(409,1),(410,1)}
       394:{1,4}:{(370,1),(373,1)}
       395:{2,3,7}:{(371,1),(372,1),(374,1),(409,1),(411,1)}
       396:{2,4,6}:{(372,1),(373,1),(375,1),(410,1),(411,1),(412,1),(425,1)}
       397:{1,3,4,7}:{(374,1),(375,1),(376,1),(382,1),(411,1),(413,1)}
       398:{1,3,5}:{(375,1),(377,1),(383,1),(412,1)}
       399:{1,4,5,7}:{(376,1),(377,1),(378,1),(384,1),(413,1),(414,1),(417,1)}
       400:{1,5,6}:{(378,1),(385,1),(414,1)}
       401:{4,5,7}:{(379,1),(380,1),(381,1),(415,1)}
       402:{3,5,6}:{(381,1),(385,1),(415,1),(416,1)}
       403:{3,5,7}:{(382,1),(383,1),(384,1),(416,1)}
       404:{2,4,6}:{(384,1),(385,1),(391,1),(414,1),(415,1),(416,1),(418,1),(425,1)}
       405:{1,4,7}:{(386,1),(387,1),(388,1),(417,1)}
       406:{1,5}:{(387,1),(389,1)}
       407:{2,5,7}:{(388,1),(389,1),(390,1),(417,1),(418,1)}
       408:{1,3,6}:{(390,1),(391,1),(416,1),(418,1)}
       409:{1,3,7}:{(392,1),(393,1),(395,1),(419,1)}
       410:{1,4,6}:{(393,1),(394,1),(396,1),(419,1),(420,1),(426,1)}
       411:{2,4,7}:{(395,1),(396,1),(397,1),(419,1),(421,1)}
       412:{2,5}:{(396,1),(398,1),(420,1)}
       413:{1,3,5,7}:{(397,1),(398,1),(399,1),(403,1),(421,1),(422,1)}
       414:{1,4,6}:{(399,1),(400,1),(404,1),(422,1),(423,1)}
       415:{4,6}:{(401,1),(402,1)}
       416:{3,6}:{(403,1),(404,1)}
       417:{1,5,7}:{(405,1),(406,1),(407,1),(423,1)}
       418:{2,6}:{(407,1),(408,1),(423,1)}
       419:{1,4,7}:{(409,1),(410,1),(411,1),(424,1)}
       420:{1,5}:{(410,1),(412,1)}
       421:{2,5,7}:{(411,1),(412,1),(413,1),(424,1),(425,1)}
       422:{1,3,6}:{(413,1),(414,1),(416,1),(425,1)}
       423:{1,6}:{(417,1),(418,1)}
       424:{1,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,6}:{(421,1),(422,1),(426,1)}
       426:{1,6}:{(424,1),(425,1)}

 715 :   0:{1,3,4,5}:{(1,1),(2,1),(9,1),(42,1),(87,1),(89,1),(108,1),(177,1)}
         1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(19,1),(61,1),(141,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(65,1),(67,1),(145,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(177,1)}
         4:{1,4,5}:{(1,1),(9,1),(12,1),(92,1),(185,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(48,1),(108,1),(209,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(39,1),(103,1),(105,1),(200,1)}
         8:{2,3,4}:{(3,1),(17,1),(61,1),(118,1),(229,1)}
         9:{1,3,5}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(22,1),(145,1)}
        11:{1,2,4,5}:{(4,1),(19,1),(23,1),(24,1),(52,1),(61,1),(121,1),(127,1),(134,1),(141,1),(155,1),(214,1),(221,1),(314,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(25,1),(26,1)}
        13:{2,5,6}:{(5,1),(6,1),(25,1),(28,1),(141,1),(251,1)}
        14:{2,4,7}:{(5,1),(7,1),(22,1),(26,1),(28,1),(64,1)}
        15:{1,4,5,6}:{(6,1),(27,1),(29,1),(65,1),(155,1),(159,1),(236,1),(262,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(28,1),(29,1),(30,1),(78,1)}
        17:{1,3,4}:{(8,1),(9,1),(31,1),(81,1),(92,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(34,1),(40,1),(91,1),(97,1),(165,1),(196,1),(199,1),(268,1),(283,1),(295,1),(363,1)}
        19:{2,5}:{(9,1),(31,1),(37,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(33,1),(38,1),(40,1),(41,1),(48,1),(91,1),(113,1),(183,1),(199,1)}
        22:{2,3,7}:{(10,1),(14,1),(39,1),(200,1)}
        23:{1,3,5}:{(11,1),(36,1),(42,1),(43,1),(81,1),(177,1),(358,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(43,1),(44,1),(45,1),(97,1),(100,1),(110,1),(184,1),(265,1),(356,1)}
        25:{1,5,6}:{(12,1),(13,1),(47,1),(185,1),(294,1)}
        26:{1,4,7}:{(12,1),(14,1),(39,1),(47,1)}
        27:{2,4,5,6}:{(13,1),(15,1),(40,1),(46,1),(48,1),(49,1),(100,1),(113,1),(183,1),(194,1),(288,1),(289,1),(304,1),(378,1)}
        28:{2,5,7}:{(13,1),(14,1),(16,1),(47,1),(50,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(49,1),(51,1),(103,1),(204,1),(211,1)}
        30:{1,3,6,7}:{(16,1),(50,1),(51,1),(116,1),(209,1)}
        31:{2,4}:{(17,1),(19,1),(53,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(54,1),(55,1),(56,1),(65,1),(120,1),(131,1),(135,1),(145,1),(221,1),(229,1),(254,1),(325,1),(332,1),(333,1),(343,1)}
        33:{2,3,5}:{(18,1),(55,1),(57,1),(141,1),(249,1),(340,1),(400,1)}
        34:{2,3,4,7}:{(18,1),(22,1),(56,1),(58,1),(68,1),(142,1),(217,1),(252,1),(255,1),(317,1),(344,1)}
        35:{1,2,5}:{(19,1),(52,1),(59,1),(60,1),(214,1)}
        36:{2,3,5}:{(19,1),(23,1),(53,1),(59,1),(61,1),(62,1),(118,1),(141,1),(214,1)}
        37:{2,6}:{(19,1),(20,1),(64,1)}
        38:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(63,1),(65,1),(66,1),(131,1),(145,1),(159,1),(236,1),(254,1),(336,1)}
        39:{1,3,7}:{(20,1),(22,1),(26,1),(64,1)}
        40:{2,4,6}:{(21,1),(57,1),(65,1),(67,1),(68,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(28,1),(66,1),(68,1),(69,1),(78,1),(152,1),(160,1),(255,1)}
        42:{1,3,4}:{(23,1),(61,1),(221,1),(229,1),(316,1)}
        43:{1,3,6}:{(23,1),(24,1),(62,1),(73,1),(145,1),(392,1)}
        44:{1,2,5,6}:{(24,1),(25,1),(63,1),(72,1),(74,1),(121,1),(141,1),(224,1),(238,1),(251,1),(312,1),(346,1)}
        45:{1,2,4,7}:{(24,1),(26,1),(64,1),(73,1),(74,1),(142,1),(146,1),(157,1),(239,1),(313,1),(393,1)}
        46:{1,4,5,6}:{(25,1),(27,1),(65,1),(75,1),(76,1),(236,1),(240,1),(342,1)}
        47:{1,5,7}:{(25,1),(26,1),(28,1),(77,1)}
        48:{3,5,6}:{(27,1),(67,1),(78,1),(145,1),(249,1),(350,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(146,1),(152,1),(160,1),(257,1),(259,1),(354,1)}
        50:{2,6,7}:{(28,1),(30,1),(77,1),(251,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(79,1),(80,1),(262,1),(264,1)}
        52:{1,2,4}:{(31,1),(35,1),(81,1),(92,1),(164,1)}
        53:{2,3}:{(31,1),(81,1)}
        54:{2,4,6}:{(31,1),(32,1),(37,1),(84,1),(85,1),(86,1),(175,1),(179,1),(307,1),(376,1)}
        55:{1,3,5}:{(32,1),(33,1),(85,1),(87,1),(177,1),(185,1),(370,1),(377,1),(382,1)}
        56:{1,3,4,7}:{(32,1),(34,1),(39,1),(86,1),(88,1),(103,1),(169,1),(186,1),(200,1),(275,1),(284,1),(308,1),(386,1)}
        57:{2,4,5}:{(33,1),(40,1),(87,1),(89,1),(268,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(88,1),(90,1),(91,1),(195,1),(303,1),(383,1)}
        59:{1,3,5}:{(35,1),(36,1),(81,1),(92,1),(93,1),(185,1)}
        60:{1,2,6}:{(35,1),(37,1),(93,1),(95,1),(265,1)}
        61:{2,4}:{(36,1),(42,1),(92,1)}
        62:{2,3,6}:{(36,1),(37,1),(43,1),(93,1),(97,1),(99,1),(265,1)}
        63:{2,5,6}:{(37,1),(38,1),(85,1),(100,1),(101,1),(179,1),(307,1)}
        64:{2,7}:{(37,1),(39,1)}
        65:{1,4,6}:{(38,1),(40,1),(87,1),(100,1),(103,1),(378,1)}
        66:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(101,1),(103,1),(104,1),(200,1),(204,1),(211,1),(308,1),(309,1)}
        67:{3,4,6}:{(40,1),(48,1),(89,1),(105,1),(378,1)}
        68:{2,4,7}:{(40,1),(41,1),(103,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(50,1),(91,1),(104,1),(106,1),(116,1),(212,1)}
        70:{1,3,4,5}:{(42,1),(96,1),(107,1),(108,1),(166,1),(272,1),(280,1),(358,1)}
        71:{1,3,4,6}:{(42,1),(43,1),(97,1),(108,1),(109,1),(110,1),(196,1),(209,1)}
        72:{1,3,5,6}:{(43,1),(44,1),(98,1),(108,1),(110,1),(111,1),(168,1),(209,1),(276,1),(298,1),(311,1),(370,1),(382,1),(436,1)}
        73:{1,3,7}:{(43,1),(45,1),(99,1),(200,1),(421,1)}
        74:{1,2,5,7}:{(44,1),(45,1),(47,1),(101,1),(111,1),(112,1),(195,1),(291,1),(357,1),(387,1)}
        75:{1,3,5,6}:{(46,1),(48,1),(102,1),(113,1),(114,1),(292,1),(384,1)}
        76:{1,4,5,7}:{(46,1),(47,1),(49,1),(103,1),(114,1),(115,1),(204,1)}
        77:{1,6,7}:{(47,1),(50,1),(294,1)}
        78:{3,5,7}:{(48,1),(49,1),(105,1),(116,1),(200,1)}
        79:{2,4,6,7}:{(49,1),(50,1),(51,1),(115,1),(116,1),(117,1),(212,1),(213,1),(304,1)}
        80:{1,5,6,7}:{(51,1),(117,1),(204,1),(311,1)}
        81:{1,3}:{(52,1),(53,1),(118,1)}
        82:{1,2,4,6}:{(52,1),(54,1),(60,1),(120,1),(121,1),(122,1),(135,1),(215,1),(221,1),(224,1),(325,1),(343,1),(346,1),(406,1)}
        83:{2,3,4}:{(53,1),(61,1),(119,1),(123,1),(316,1)}
        84:{2,3,6}:{(53,1),(54,1),(120,1),(125,1),(126,1),(145,1),(410,1)}
        85:{2,5}:{(54,1),(55,1)}
        86:{2,4,7}:{(54,1),(56,1),(64,1),(126,1),(128,1),(353,1)}
        87:{1,4,5}:{(55,1),(57,1),(65,1),(127,1),(221,1),(411,1)}
        88:{1,3,5,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(131,1),(233,1),(241,1),(416,1)}
        89:{3,4,5}:{(57,1),(67,1),(249,1),(316,1),(411,1)}
        90:{2,4,5,7}:{(57,1),(58,1),(68,1),(130,1),(132,1),(133,1),(152,1),(317,1),(400,1)}
        91:{2,3,6}:{(58,1),(131,1),(133,1),(251,1),(350,1),(417,1)}
        92:{1,4}:{(59,1),(61,1)}
        93:{1,3,6}:{(59,1),(60,1),(62,1),(135,1),(137,1)}
        94:{1,2,5,6}:{(60,1),(63,1),(121,1),(136,1),(138,1),(139,1),(159,1),(224,1),(312,1),(340,1),(412,1),(417,1)}
        95:{1,2,7}:{(60,1),(64,1),(137,1),(313,1)}
        96:{2,4,5}:{(61,1),(70,1),(123,1),(134,1),(140,1),(141,1),(214,1)}
        97:{2,4,6}:{(61,1),(62,1),(71,1),(135,1),(141,1),(142,1),(251,1)}
        98:{2,3,5,6}:{(62,1),(63,1),(72,1),(125,1),(136,1),(141,1),(143,1),(144,1),(145,1),(216,1),(231,1),(245,1),(249,1),(251,1),(312,1),(318,1),(334,1),(336,1),(340,1),(350,1),(351,1),(392,1),(400,1),(417,1),(443,1)}
        99:{2,3,7}:{(62,1),(64,1),(73,1),(137,1),(142,1),(313,1)}
       100:{2,4,6}:{(63,1),(65,1),(127,1),(145,1),(146,1)}
       101:{2,5,7}:{(63,1),(64,1),(66,1),(146,1),(147,1),(353,1)}
       102:{1,3,4,6}:{(65,1),(67,1),(75,1),(129,1),(145,1),(148,1),(149,1),(254,1)}
       103:{1,4,7}:{(65,1),(66,1),(68,1),(146,1),(354,1)}
       104:{1,3,6,7}:{(66,1),(69,1),(77,1),(131,1),(147,1),(150,1),(256,1),(264,1)}
       105:{3,4,7}:{(67,1),(68,1),(78,1),(354,1)}
       106:{2,4,6,7}:{(68,1),(69,1),(133,1),(150,1),(151,1),(152,1)}
       107:{1,3,4,6}:{(70,1),(140,1),(153,1),(154,1),(218,1),(319,1),(327,1),(392,1)}
       108:{1,3,5}:{(71,1),(141,1),(155,1),(249,1)}
       109:{1,3,4,7}:{(71,1),(73,1),(142,1),(156,1),(157,1),(252,1)}
       110:{1,4,6}:{(72,1),(143,1),(155,1),(157,1),(221,1)}
       111:{1,3,5,7}:{(72,1),(73,1),(74,1),(144,1),(157,1),(158,1),(263,1),(347,1),(416,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(147,1),(158,1),(224,1),(251,1),(339,1),(394,1)}
       113:{2,5,6}:{(75,1),(148,1),(159,1),(160,1),(340,1),(417,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(78,1),(149,1),(160,1),(161,1)}
       115:{1,4,6,7}:{(76,1),(77,1),(79,1),(161,1),(162,1),(342,1)}
       116:{3,6,7}:{(78,1),(79,1),(350,1)}
       117:{2,5,6,7}:{(79,1),(80,1),(152,1),(162,1),(163,1),(257,1),(351,1)}
       118:{2,3}:{(81,1),(164,1)}
       119:{1,3,4}:{(81,1),(83,1),(92,1),(164,1),(166,1)}
       120:{1,3,6}:{(81,1),(82,1),(84,1),(165,1),(168,1),(169,1),(431,1)}
       121:{1,2,5}:{(82,1),(85,1),(168,1),(185,1),(266,1),(370,1),(382,1)}
       122:{1,2,4,7}:{(82,1),(86,1),(95,1),(169,1),(171,1),(186,1),(267,1),(275,1),(386,1),(387,1)}
       123:{2,3,5}:{(83,1),(96,1),(166,1),(172,1),(358,1)}
       124:{2,3,4,6}:{(83,1),(84,1),(97,1),(167,1),(172,1),(173,1),(174,1),(175,1),(196,1),(278,1),(282,1),(285,1),(295,1),(361,1),(420,1)}
       125:{2,3,5}:{(84,1),(85,1),(168,1),(175,1),(177,1)}
       126:{2,3,7}:{(84,1),(86,1),(169,1),(200,1)}
       127:{2,4,5}:{(85,1),(87,1),(100,1),(175,1),(177,1)}
       128:{2,5,7}:{(85,1),(86,1),(88,1),(179,1)}
       129:{1,3,4,5}:{(87,1),(89,1),(102,1),(177,1),(180,1),(274,1),(286,1),(292,1)}
       130:{1,4,5,7}:{(87,1),(88,1),(90,1),(103,1),(178,1),(181,1),(204,1),(275,1),(370,1)}
       131:{1,3,6}:{(88,1),(91,1),(179,1),(181,1),(287,1),(294,1),(436,1)}
       132:{3,4,5,7}:{(89,1),(90,1),(105,1),(182,1),(205,1),(303,1),(362,1),(391,1),(427,1)}
       133:{2,4,6}:{(90,1),(91,1),(181,1),(182,1),(183,1)}
       134:{1,4,5}:{(92,1),(96,1),(166,1),(184,1),(185,1)}
       135:{1,4,6}:{(92,1),(93,1),(97,1),(185,1),(186,1),(294,1)}
       136:{1,3,5,6}:{(93,1),(94,1),(98,1),(168,1),(185,1),(187,1),(188,1),(189,1),(276,1),(292,1),(294,1),(370,1),(384,1),(385,1)}
       137:{1,3,7}:{(93,1),(95,1),(99,1),(186,1)}
       138:{1,2,4,6}:{(94,1),(100,1),(170,1),(187,1),(189,1),(190,1),(202,1),(295,1),(307,1),(356,1),(428,1),(449,1)}
       139:{1,2,5,7}:{(94,1),(95,1),(101,1),(188,1),(190,1),(191,1),(211,1),(357,1),(383,1),(434,1)}
       140:{2,4,6}:{(96,1),(107,1),(172,1),(184,1),(192,1),(193,1),(265,1)}
       141:{2,5}:{(97,1),(108,1),(185,1)}
       142:{2,4,7}:{(97,1),(99,1),(109,1),(186,1),(195,1)}
       143:{2,4,6}:{(98,1),(110,1),(175,1),(187,1),(194,1),(196,1),(197,1),(268,1),(378,1),(452,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(101,1),(111,1),(188,1),(195,1),(197,1),(198,1),(200,1),(299,1),(303,1),(306,1),(309,1),(357,1),(383,1),(421,1),(451,1)}
       145:{3,6}:{(100,1),(177,1),(200,1)}
       146:{2,4,7}:{(100,1),(101,1),(103,1),(200,1)}
       147:{2,6,7}:{(101,1),(104,1),(179,1)}
       148:{2,4,6}:{(102,1),(113,1),(180,1),(199,1),(202,1),(203,1),(307,1)}
       149:{1,3,4,7}:{(102,1),(103,1),(105,1),(114,1),(200,1),(203,1),(308,1)}
       150:{1,4,6,7}:{(103,1),(104,1),(106,1),(181,1),(201,1),(204,1)}
       151:{3,4,6,7}:{(105,1),(106,1),(116,1),(182,1),(205,1),(213,1)}
       152:{2,5,7}:{(106,1),(183,1),(204,1),(205,1)}
       153:{1,3,5,6}:{(107,1),(108,1),(192,1),(206,1),(207,1),(209,1),(300,1)}
       154:{1,3,4,7}:{(107,1),(193,1),(207,1),(271,1),(365,1),(372,1),(421,1)}
       155:{1,4,5}:{(108,1),(110,1),(194,1),(370,1),(382,1)}
       156:{1,3,5,7}:{(108,1),(109,1),(195,1),(208,1),(209,1),(303,1)}
       157:{1,4,7}:{(110,1),(111,1),(197,1)}
       158:{1,3,6,7}:{(111,1),(112,1),(198,1),(209,1),(210,1),(276,1),(436,1)}
       159:{1,5,6}:{(113,1),(202,1),(211,1),(382,1),(436,1)}
       160:{2,5,7}:{(113,1),(114,1),(203,1),(211,1),(212,1)}
       161:{1,3,6,7}:{(114,1),(115,1),(116,1),(212,1),(384,1)}
       162:{1,5,6,7}:{(115,1),(117,1),(204,1),(385,1)}
       163:{3,5,6,7}:{(116,1),(117,1),(205,1),(213,1),(309,1),(390,1)}
       164:{2,4}:{(118,1),(119,1),(214,1)}
       165:{2,3,6}:{(118,1),(120,1),(215,1),(216,1),(217,1),(392,1),(444,1)}
       166:{1,3,5}:{(119,1),(123,1),(134,1),(214,1),(218,1)}
       167:{1,3,4,6}:{(119,1),(120,1),(124,1),(135,1),(215,1),(218,1),(219,1),(220,1),(221,1),(316,1),(319,1),(323,1),(325,1),(343,1),(392,1),(398,1),(399,1),(438,1)}
       168:{1,3,5}:{(120,1),(121,1),(125,1),(216,1),(221,1)}
       169:{1,3,7}:{(120,1),(122,1),(126,1),(217,1)}
       170:{1,2,4,5}:{(121,1),(127,1),(138,1),(221,1),(223,1),(235,1),(240,1),(314,1),(324,1),(335,1),(340,1),(404,1),(406,1),(442,1)}
       171:{1,2,5,7}:{(121,1),(122,1),(128,1),(222,1),(224,1),(241,1),(315,1),(416,1)}
       172:{2,3,6}:{(123,1),(140,1),(218,1),(226,1),(392,1)}
       173:{2,3,5}:{(124,1),(141,1),(219,1),(227,1),(249,1),(334,1),(340,1)}
       174:{2,3,4,7}:{(124,1),(126,1),(142,1),(220,1),(226,1),(228,1),(230,1),(252,1),(328,1),(344,1),(439,1)}
       175:{2,4}:{(125,1),(221,1),(229,1)}
       176:{2,3,5,7}:{(125,1),(126,1),(128,1),(222,1),(230,1),(231,1),(233,1),(334,1)}
       177:{3,5}:{(127,1),(145,1),(229,1)}
       178:{2,4,5,7}:{(127,1),(128,1),(130,1),(146,1),(230,1),(233,1),(234,1),(257,1),(334,1),(354,1),(411,1)}
       179:{2,6}:{(128,1),(131,1)}
       180:{2,4,5}:{(129,1),(148,1),(232,1),(235,1),(324,1),(335,1),(340,1)}
       181:{1,4,6}:{(130,1),(131,1),(133,1),(234,1),(236,1)}
       182:{3,4,6}:{(132,1),(133,1),(237,1),(350,1),(419,1)}
       183:{2,5,6}:{(133,1),(152,1),(236,1),(237,1),(400,1)}
       184:{1,4,6}:{(134,1),(140,1),(218,1),(238,1),(239,1)}
       185:{1,5}:{(135,1),(141,1)}
       186:{1,4,7}:{(135,1),(137,1),(142,1),(241,1)}
       187:{1,4,6}:{(136,1),(143,1),(221,1),(240,1),(243,1)}
       188:{1,3,5,7}:{(136,1),(137,1),(139,1),(144,1),(241,1),(243,1),(244,1),(246,1),(345,1)}
       189:{1,3,6}:{(138,1),(145,1),(223,1),(245,1),(246,1),(392,1)}
       190:{1,2,4,7}:{(138,1),(139,1),(146,1),(243,1),(246,1),(258,1),(344,1),(353,1),(393,1),(446,1),(453,1)}
       191:{1,2,6,7}:{(139,1),(147,1),(224,1),(244,1),(264,1),(394,1),(417,1),(448,1)}
       192:{2,5,6}:{(140,1),(141,1),(153,1),(238,1),(248,1),(251,1)}
       193:{2,4,7}:{(140,1),(154,1),(226,1),(239,1),(248,1),(313,1)}
       194:{2,4,5}:{(141,1),(143,1),(155,1),(240,1),(249,1),(334,1),(340,1),(400,1),(411,1),(445,1)}
       195:{2,5,7}:{(141,1),(142,1),(156,1),(241,1),(251,1)}
       196:{3,4,6}:{(143,1),(145,1),(229,1),(249,1),(252,1),(316,1),(350,1),(392,1)}
       197:{2,4,7}:{(143,1),(144,1),(157,1),(243,1),(252,1),(354,1),(454,1)}
       198:{2,3,6,7}:{(144,1),(147,1),(158,1),(231,1),(244,1),(251,1),(253,1),(256,1),(318,1),(350,1),(394,1),(417,1),(440,1)}
       199:{2,3,6}:{(145,1),(148,1),(232,1),(254,1),(255,1)}
       200:{3,7}:{(145,1),(146,1)}
       201:{2,4,6,7}:{(146,1),(147,1),(150,1),(234,1),(256,1),(257,1),(354,1)}
       202:{1,4,6}:{(148,1),(159,1),(235,1),(254,1),(258,1)}
       203:{2,4,7}:{(148,1),(149,1),(160,1),(255,1),(258,1),(353,1)}
       204:{1,5,7}:{(150,1),(152,1),(236,1),(257,1)}
       205:{3,5,7}:{(151,1),(152,1),(237,1),(259,1)}
       206:{1,4,5,6}:{(153,1),(155,1),(247,1),(260,1),(262,1),(319,1),(405,1),(412,1)}
       207:{1,3,5,7}:{(153,1),(154,1),(248,1),(260,1),(261,1),(348,1)}
       208:{1,4,5,7}:{(155,1),(156,1),(157,1),(250,1),(262,1),(263,1),(416,1)}
       209:{1,3,6}:{(156,1),(251,1),(262,1),(350,1)}
       210:{1,4,6,7}:{(157,1),(158,1),(253,1),(262,1),(263,1),(325,1)}
       211:{1,5,7}:{(159,1),(160,1),(258,1),(264,1)}
       212:{2,6,7}:{(160,1),(161,1),(264,1),(417,1)}
       213:{4,6,7}:{(163,1),(259,1),(354,1),(419,1)}
       214:{2,5}:{(164,1),(166,1),(265,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(265,1),(266,1),(267,1),(268,1),(360,1),(426,1),(449,1)}
       216:{2,3,5}:{(165,1),(168,1),(266,1),(268,1),(358,1)}
       217:{2,3,7}:{(165,1),(169,1),(267,1),(421,1)}
       218:{1,3,6}:{(166,1),(172,1),(184,1),(265,1),(271,1)}
       219:{1,3,5}:{(167,1),(173,1),(185,1),(266,1),(272,1),(358,1),(370,1),(382,1),(427,1)}
       220:{1,3,4,7}:{(167,1),(169,1),(174,1),(186,1),(267,1),(271,1),(273,1),(275,1),(362,1),(365,1),(386,1),(421,1),(450,1)}
       221:{1,4}:{(168,1),(175,1),(268,1)}
       222:{1,3,5,7}:{(168,1),(169,1),(171,1),(176,1),(269,1),(275,1),(276,1),(370,1)}
       223:{1,3,5}:{(170,1),(177,1),(189,1),(274,1),(277,1),(358,1),(431,1)}
       224:{1,2,6}:{(171,1),(179,1),(276,1),(294,1),(360,1),(436,1)}
       225:{2,3,5,6}:{(172,1),(173,1),(192,1),(270,1),(278,1),(279,1),(282,1),(300,1),(375,1),(379,1),(420,1)}
       226:{2,3,7}:{(172,1),(193,1),(271,1),(421,1)}
       227:{2,4,5}:{(173,1),(175,1),(272,1),(278,1),(280,1)}
       228:{2,3,5,7}:{(173,1),(174,1),(195,1),(273,1),(281,1),(282,1),(303,1),(383,1)}
       229:{3,4}:{(175,1),(177,1)}
       230:{2,4,7}:{(175,1),(176,1),(275,1),(284,1),(285,1)}
       231:{2,3,6}:{(176,1),(179,1),(276,1),(285,1),(287,1)}
       232:{2,3,5}:{(177,1),(180,1),(199,1),(283,1),(286,1)}
       233:{3,5,7}:{(177,1),(178,1),(200,1),(284,1),(287,1),(377,1)}
       234:{2,4,6}:{(178,1),(179,1),(181,1),(287,1),(288,1),(378,1)}
       235:{1,4,5}:{(180,1),(202,1),(286,1),(369,1),(382,1)}
       236:{1,5,6}:{(181,1),(183,1),(204,1),(288,1),(370,1)}
       237:{3,5,6}:{(182,1),(183,1),(205,1),(289,1),(427,1)}
       238:{1,5,6}:{(184,1),(185,1),(192,1),(291,1),(294,1)}
       239:{1,4,7}:{(184,1),(193,1),(271,1),(291,1)}
       240:{1,4,5}:{(185,1),(187,1),(194,1),(292,1),(370,1)}
       241:{1,5,7}:{(185,1),(186,1),(195,1),(294,1)}
       242:{1,3,4,6}:{(187,1),(189,1),(196,1),(274,1),(292,1),(295,1),(296,1),(384,1)}
       243:{1,4,7}:{(187,1),(188,1),(197,1)}
       244:{1,3,6,7}:{(188,1),(191,1),(198,1),(276,1),(294,1),(297,1),(384,1)}
       245:{2,3,6}:{(189,1),(277,1),(295,1),(298,1),(299,1),(307,1),(449,1)}
       246:{1,3,7}:{(189,1),(190,1),(200,1),(299,1),(421,1)}
       247:{2,4,5,6}:{(192,1),(194,1),(206,1),(278,1),(290,1),(300,1),(301,1),(304,1),(356,1),(375,1),(379,1),(425,1),(433,1),(452,1)}
       248:{2,5,7}:{(192,1),(193,1),(207,1),(291,1),(302,1)}
       249:{3,5}:{(194,1),(196,1)}
       250:{2,4,5,7}:{(194,1),(195,1),(197,1),(208,1),(293,1),(303,1),(304,1),(306,1),(383,1),(391,1)}
       251:{2,6}:{(195,1),(209,1),(294,1)}
       252:{3,4,7}:{(196,1),(197,1),(200,1),(303,1),(421,1)}
       253:{2,4,6,7}:{(197,1),(198,1),(210,1),(285,1),(297,1),(304,1),(305,1),(306,1),(363,1)}
       254:{1,3,6}:{(199,1),(202,1),(286,1),(307,1),(308,1)}
       255:{2,3,7}:{(199,1),(200,1),(203,1),(308,1)}
       256:{3,6,7}:{(200,1),(201,1),(287,1),(309,1)}
       257:{2,5,7}:{(201,1),(204,1),(288,1),(309,1)}
       258:{1,4,7}:{(202,1),(203,1),(211,1),(308,1)}
       259:{4,5,7}:{(205,1),(213,1),(289,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(301,1),(310,1),(365,1),(430,1),(434,1)}
       261:{1,3,6,7}:{(207,1),(209,1),(302,1),(310,1),(388,1)}
       262:{1,4,6}:{(208,1),(209,1),(304,1),(311,1),(436,1)}
       263:{1,5,7}:{(210,1),(306,1),(311,1),(370,1)}
       264:{1,6,7}:{(211,1),(212,1),(436,1)}
       265:{2,6}:{(214,1),(218,1),(313,1)}
       266:{2,5}:{(215,1),(219,1)}
       267:{2,4,7}:{(215,1),(217,1),(220,1),(313,1),(315,1),(453,1)}
       268:{2,4}:{(216,1),(221,1),(316,1)}
       269:{2,3,5,7}:{(216,1),(217,1),(222,1),(315,1),(317,1),(318,1),(396,1),(400,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(225,1),(238,1),(312,1),(319,1),(320,1),(323,1),(392,1),(405,1),(412,1),(438,1),(443,1)}
       271:{1,3,7}:{(218,1),(226,1),(239,1),(313,1)}
       272:{1,4,5}:{(219,1),(221,1),(227,1),(314,1),(319,1),(445,1)}
       273:{1,3,5,7}:{(219,1),(220,1),(228,1),(241,1),(315,1),(322,1),(323,1),(396,1),(416,1)}
       274:{1,3,4}:{(221,1),(223,1),(229,1),(316,1),(324,1)}
       275:{1,4,7}:{(221,1),(222,1),(230,1),(317,1),(325,1)}
       276:{1,3,6}:{(222,1),(224,1),(231,1),(318,1),(325,1)}
       277:{2,3,5}:{(223,1),(245,1),(324,1),(326,1),(335,1),(340,1),(410,1),(442,1),(444,1)}
       278:{2,4,6}:{(225,1),(227,1),(319,1),(327,1),(328,1)}
       279:{2,3,5,7}:{(225,1),(226,1),(248,1),(320,1),(328,1),(329,1),(348,1),(408,1),(413,1),(439,1)}
       280:{3,4,5}:{(227,1),(229,1),(249,1),(327,1),(445,1)}
       281:{2,4,5,7}:{(227,1),(228,1),(230,1),(322,1),(328,1),(330,1),(331,1),(334,1),(408,1)}
       282:{2,3,6}:{(228,1),(251,1),(323,1),(331,1),(350,1),(417,1)}
       283:{2,3,4}:{(229,1),(232,1),(324,1),(332,1),(444,1)}
       284:{3,4,7}:{(229,1),(230,1),(233,1),(333,1),(354,1)}
       285:{2,4,6}:{(230,1),(231,1),(325,1),(333,1),(334,1)}
       286:{1,3,5}:{(232,1),(235,1),(254,1),(332,1),(335,1)}
       287:{3,6}:{(233,1),(234,1)}
       288:{2,5,6}:{(234,1),(236,1),(257,1),(334,1),(336,1)}
       289:{4,5,6}:{(237,1),(259,1),(419,1),(445,1)}
       290:{1,4,5,6}:{(238,1),(240,1),(247,1),(319,1),(337,1),(338,1),(342,1),(405,1)}
       291:{1,5,7}:{(238,1),(239,1),(248,1),(339,1)}
       292:{1,3,5}:{(240,1),(242,1),(249,1),(340,1)}
       293:{1,4,5,7}:{(240,1),(241,1),(243,1),(250,1),(341,1),(342,1),(345,1)}
       294:{1,6}:{(241,1),(251,1)}
       295:{2,4,6}:{(242,1),(245,1),(324,1),(340,1),(343,1),(344,1),(417,1)}
       296:{1,3,4,7}:{(242,1),(243,1),(246,1),(252,1),(341,1),(344,1)}
       297:{1,4,6,7}:{(243,1),(244,1),(253,1),(325,1),(342,1),(345,1)}
       298:{1,3,6}:{(245,1),(326,1),(343,1),(346,1),(347,1)}
       299:{2,3,7}:{(245,1),(246,1),(344,1),(347,1),(353,1),(453,1)}
       300:{3,5,6}:{(247,1),(249,1),(327,1),(348,1),(350,1),(392,1)}
       301:{2,4,5,7}:{(247,1),(248,1),(260,1),(328,1),(338,1),(348,1),(349,1),(393,1),(408,1),(413,1),(441,1),(447,1),(454,1)}
       302:{2,6,7}:{(248,1),(251,1),(261,1),(339,1)}
       303:{3,5,7}:{(249,1),(250,1),(252,1),(350,1)}
       304:{2,4,6}:{(250,1),(251,1),(262,1),(342,1),(350,1),(351,1),(417,1),(419,1)}
       305:{3,4,6,7}:{(252,1),(253,1),(256,1),(333,1),(350,1),(352,1),(354,1),(399,1),(419,1),(440,1),(454,1)}
       306:{2,5,7}:{(253,1),(263,1),(334,1),(345,1),(351,1),(352,1),(400,1)}
       307:{2,6}:{(254,1),(335,1),(353,1)}
       308:{1,3,7}:{(254,1),(255,1),(258,1),(353,1)}
       309:{3,5,7}:{(256,1),(257,1),(336,1),(354,1)}
       310:{1,4,6,7}:{(260,1),(261,1),(262,1),(349,1),(355,1),(448,1)}
       311:{1,5,6}:{(262,1),(263,1),(351,1)}
       312:{2,5,6}:{(265,1),(266,1),(270,1),(356,1),(357,1),(360,1),(449,1)}
       313:{2,7}:{(265,1),(271,1)}
       314:{2,4,5}:{(266,1),(268,1),(272,1),(356,1),(358,1)}
       315:{2,5,7}:{(266,1),(267,1),(273,1),(360,1)}
       316:{3,4}:{(268,1),(358,1)}
       317:{2,4,7}:{(268,1),(269,1),(275,1),(362,1),(363,1)}
       318:{2,3,6}:{(269,1),(276,1),(360,1),(363,1),(424,1)}
       319:{1,4,6}:{(270,1),(272,1),(278,1),(356,1),(365,1),(452,1)}
       320:{1,3,5,7}:{(270,1),(271,1),(279,1),(291,1),(357,1),(365,1),(366,1),(421,1),(430,1),(434,1),(450,1),(451,1)}
       321:{1,3,4,5}:{(272,1),(274,1),(280,1),(292,1),(358,1),(364,1),(367,1),(423,1)}
       322:{1,4,5,7}:{(272,1),(273,1),(275,1),(281,1),(359,1),(365,1),(368,1),(370,1),(430,1)}
       323:{1,3,6}:{(273,1),(282,1),(294,1),(360,1),(368,1),(424,1),(436,1)}
       324:{2,4}:{(274,1),(277,1),(369,1)}
       325:{1,4,6}:{(275,1),(276,1),(285,1),(363,1),(370,1)}
       326:{1,3,5}:{(277,1),(298,1),(369,1),(371,1),(382,1),(431,1)}
       327:{3,4,6}:{(278,1),(280,1),(300,1),(372,1),(452,1)}
       328:{2,4,7}:{(278,1),(279,1),(365,1),(372,1)}
       329:{2,3,6,7}:{(279,1),(282,1),(302,1),(366,1),(373,1),(388,1),(435,1)}
       330:{3,4,5,7}:{(280,1),(281,1),(284,1),(303,1),(372,1),(374,1),(377,1),(391,1),(432,1)}
       331:{2,4,6}:{(281,1),(282,1),(368,1),(374,1),(375,1)}
       332:{1,3,4}:{(283,1),(286,1),(369,1),(376,1),(431,1)}
       333:{3,4,6}:{(284,1),(285,1),(287,1),(377,1),(378,1)}
       334:{2,5}:{(285,1),(370,1),(377,1)}
       335:{2,5}:{(286,1),(307,1),(376,1)}
       336:{3,5,6}:{(287,1),(288,1),(309,1),(377,1),(378,1)}
       337:{1,3,5,6}:{(290,1),(292,1),(300,1),(364,1),(379,1),(380,1),(384,1)}
       338:{1,4,5,7}:{(290,1),(291,1),(301,1),(365,1),(380,1),(381,1),(430,1)}
       339:{1,6,7}:{(291,1),(294,1),(302,1)}
       340:{2,5}:{(292,1),(295,1),(382,1)}
       341:{1,3,5,7}:{(292,1),(293,1),(296,1),(303,1),(383,1),(384,1)}
       342:{1,4,6}:{(293,1),(294,1),(304,1),(384,1),(385,1)}
       343:{1,4,6}:{(295,1),(298,1),(369,1),(382,1),(386,1),(436,1)}
       344:{2,4,7}:{(295,1),(296,1),(299,1),(383,1),(386,1)}
       345:{1,5,7}:{(297,1),(306,1),(370,1),(385,1)}
       346:{1,2,6}:{(298,1),(307,1),(371,1),(387,1),(449,1)}
       347:{1,3,7}:{(298,1),(299,1),(386,1),(387,1)}
       348:{3,5,7}:{(300,1),(301,1),(372,1),(388,1),(421,1)}
       349:{2,4,6,7}:{(301,1),(302,1),(304,1),(310,1),(381,1),(388,1),(389,1),(435,1),(437,1)}
       350:{3,6}:{(303,1),(304,1)}
       351:{2,5,6}:{(304,1),(306,1),(311,1),(385,1),(390,1)}
       352:{3,5,7}:{(305,1),(306,1),(377,1),(390,1),(391,1),(427,1)}
       353:{2,7}:{(307,1),(308,1)}
       354:{4,7}:{(309,1),(378,1)}
       355:{1,5,6,7}:{(310,1),(311,1),(389,1),(430,1)}
       356:{2,4,6}:{(312,1),(314,1),(319,1),(392,1),(393,1)}
       357:{2,5,7}:{(312,1),(313,1),(320,1),(393,1),(394,1),(453,1)}
       358:{3,5}:{(314,1),(316,1),(392,1)}
       359:{2,4,5,7}:{(314,1),(315,1),(317,1),(322,1),(393,1),(396,1),(397,1),(400,1),(441,1),(445,1),(454,1)}
       360:{2,6}:{(315,1),(323,1)}
       361:{2,3,4}:{(316,1),(324,1),(395,1),(398,1),(410,1)}
       362:{3,4,7}:{(316,1),(317,1),(396,1),(399,1),(454,1)}
       363:{2,4,6}:{(317,1),(318,1),(325,1),(399,1),(400,1)}
       364:{1,3,4,6}:{(319,1),(321,1),(327,1),(337,1),(392,1),(401,1),(402,1),(438,1)}
       365:{1,4,7}:{(319,1),(320,1),(328,1),(393,1),(454,1)}
       366:{1,3,6,7}:{(320,1),(323,1),(329,1),(339,1),(394,1),(403,1),(440,1),(448,1)}
       367:{2,4,5}:{(321,1),(324,1),(340,1),(395,1),(401,1),(404,1),(442,1)}
       368:{1,4,6}:{(322,1),(323,1),(331,1),(397,1),(405,1)}
       369:{1,4}:{(324,1),(326,1)}
       370:{1,5}:{(325,1),(334,1),(400,1)}
       371:{1,2,5}:{(326,1),(335,1),(346,1),(406,1),(442,1)}
       372:{3,4,7}:{(327,1),(328,1),(348,1),(454,1)}
       373:{2,4,6,7}:{(328,1),(329,1),(331,1),(403,1),(407,1),(408,1)}
       374:{3,4,6}:{(330,1),(331,1),(350,1),(409,1),(419,1)}
       375:{2,5,6}:{(331,1),(334,1),(405,1),(408,1),(409,1)}
       376:{2,4}:{(332,1),(335,1),(410,1)}
       377:{3,5}:{(333,1),(334,1),(411,1)}
       378:{4,6}:{(336,1),(354,1),(411,1)}
       379:{2,5,6}:{(337,1),(340,1),(401,1),(412,1),(413,1),(417,1)}
       380:{1,3,5,7}:{(337,1),(338,1),(348,1),(402,1),(413,1),(414,1)}
       381:{1,4,6,7}:{(338,1),(339,1),(342,1),(349,1),(414,1),(415,1)}
       382:{1,5}:{(340,1),(343,1)}
       383:{2,5,7}:{(340,1),(341,1),(344,1),(416,1),(417,1)}
       384:{1,3,6}:{(341,1),(342,1),(350,1),(417,1)}
       385:{1,5,6}:{(342,1),(345,1),(351,1)}
       386:{1,4,7}:{(343,1),(344,1),(347,1),(416,1)}
       387:{1,2,7}:{(346,1),(347,1),(353,1),(453,1)}
       388:{3,6,7}:{(348,1),(349,1),(350,1)}
       389:{2,5,6,7}:{(349,1),(351,1),(355,1),(408,1),(415,1),(418,1),(441,1)}
       390:{3,5,6}:{(350,1),(351,1),(352,1),(419,1)}
       391:{4,5,7}:{(352,1),(354,1),(411,1),(419,1),(445,1),(454,1)}
       392:{3,6}:{(356,1),(358,1),(421,1)}
       393:{2,4,7}:{(356,1),(357,1),(365,1),(421,1)}
       394:{2,6,7}:{(357,1),(360,1),(366,1)}
       395:{2,3,5}:{(358,1),(361,1),(367,1),(420,1),(423,1)}
       396:{3,5,7}:{(358,1),(359,1),(362,1),(421,1),(424,1),(427,1)}
       397:{2,4,6}:{(359,1),(360,1),(368,1),(424,1),(425,1),(452,1)}
       398:{1,3,4}:{(361,1),(369,1),(423,1),(426,1),(431,1)}
       399:{3,4,6}:{(362,1),(363,1),(424,1),(427,1),(452,1)}
       400:{2,5}:{(363,1),(370,1),(427,1)}
       401:{2,4,6}:{(364,1),(367,1),(379,1),(420,1),(428,1),(429,1),(449,1)}
       402:{1,3,4,7}:{(364,1),(365,1),(372,1),(380,1),(421,1),(429,1),(450,1)}
       403:{1,4,6,7}:{(365,1),(366,1),(368,1),(373,1),(422,1),(430,1)}
       404:{1,4,5}:{(367,1),(369,1),(382,1),(423,1),(428,1)}
       405:{1,5,6}:{(368,1),(370,1),(375,1),(425,1),(430,1)}
       406:{1,2,4}:{(369,1),(371,1),(376,1),(426,1),(431,1)}
       407:{3,4,6,7}:{(372,1),(373,1),(374,1),(388,1),(432,1),(437,1)}
       408:{2,5,7}:{(373,1),(375,1),(430,1),(432,1)}
       409:{3,5,6}:{(374,1),(375,1),(377,1),(432,1),(433,1)}
       410:{2,3}:{(376,1),(431,1)}
       411:{4,5}:{(377,1),(378,1)}
       412:{1,5,6}:{(379,1),(382,1),(428,1),(434,1),(436,1)}
       413:{2,5,7}:{(379,1),(380,1),(429,1),(434,1),(435,1)}
       414:{1,3,6,7}:{(380,1),(381,1),(384,1),(388,1),(435,1)}
       415:{1,5,6,7}:{(381,1),(385,1),(389,1),(430,1)}
       416:{1,5,7}:{(382,1),(383,1),(386,1),(436,1)}
       417:{2,6}:{(383,1),(384,1),(436,1)}
       418:{3,5,6,7}:{(388,1),(389,1),(390,1),(432,1),(437,1),(451,1)}
       419:{4,6}:{(390,1),(391,1)}
       420:{2,3,6}:{(392,1),(395,1),(401,1),(438,1),(439,1)}
       421:{3,7}:{(392,1),(393,1)}
       422:{2,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(440,1),(441,1),(454,1)}
       423:{1,3,5}:{(395,1),(398,1),(404,1),(438,1),(442,1)}
       424:{3,6}:{(396,1),(397,1)}
       425:{2,5,6}:{(397,1),(400,1),(405,1),(441,1),(443,1)}
       426:{2,4}:{(398,1),(442,1),(444,1)}
       427:{3,5}:{(399,1),(400,1),(445,1)}
       428:{1,4,6}:{(401,1),(404,1),(412,1),(438,1),(446,1)}
       429:{2,4,7}:{(401,1),(402,1),(413,1),(439,1),(446,1),(453,1)}
       430:{1,5,7}:{(403,1),(405,1),(408,1),(441,1)}
       431:{1,3}:{(406,1),(410,1),(444,1)}
       432:{3,5,7}:{(407,1),(408,1),(409,1),(447,1)}
       433:{4,5,6}:{(409,1),(411,1),(419,1),(447,1)}
       434:{1,5,7}:{(412,1),(413,1),(446,1),(448,1)}
       435:{2,6,7}:{(413,1),(414,1),(417,1),(448,1)}
       436:{1,6}:{(416,1),(417,1)}
       437:{4,6,7}:{(418,1),(419,1),(447,1),(454,1)}
       438:{1,3,6}:{(420,1),(423,1),(428,1),(449,1),(450,1)}
       439:{2,3,7}:{(420,1),(421,1),(429,1),(450,1)}
       440:{3,6,7}:{(421,1),(422,1),(424,1),(451,1)}
       441:{2,5,7}:{(422,1),(425,1),(430,1),(451,1)}
       442:{2,5}:{(423,1),(426,1),(449,1)}
       443:{3,5,6}:{(424,1),(425,1),(427,1),(451,1),(452,1)}
       444:{2,3}:{(426,1),(431,1)}
       445:{4,5}:{(427,1),(452,1)}
       446:{1,4,7}:{(428,1),(429,1),(434,1),(450,1)}
       447:{4,5,7}:{(432,1),(433,1),(437,1)}
       448:{1,6,7}:{(434,1),(435,1),(436,1)}
       449:{2,6}:{(438,1),(442,1),(453,1)}
       450:{1,3,7}:{(438,1),(439,1),(446,1),(453,1)}
       451:{3,5,7}:{(440,1),(441,1),(443,1),(454,1)}
       452:{4,6}:{(443,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 716 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 717 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(43,1),(68,1),(80,1),(84,1),(87,1),(121,1),(128,1),(226,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(22,1),(49,1),(55,1),(58,1),(98,1),(107,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(65,1),(114,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(8,1),(9,1),(34,1),(36,1),(128,1),(138,1),(144,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(37,1),(127,1),(145,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(13,1),(44,1),(84,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(115,1),(159,1),(160,1),(161,1),(169,1),(205,1),(211,1),(229,1),(241,1)}
         8:{2,3,6,7}:{(3,1),(15,1),(18,1),(58,1),(100,1),(166,1),(229,1)}
         9:{2,5,7}:{(3,1),(4,1),(19,1),(158,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(19,1),(22,1),(58,1),(112,1),(116,1)}
        11:{1,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(49,1),(97,1)}
        12:{2,3,5,6,7}:{(5,1),(21,1),(24,1),(65,1),(109,1),(114,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(65,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(8,1),(27,1),(29,1),(73,1),(130,1),(187,1),(226,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(9,1),(29,1),(30,1),(66,1),(145,1),(185,1),(192,1),(222,1),(237,1)}
        17:{2,3,4,6,7}:{(8,1),(28,1),(32,1),(34,1),(76,1),(79,1),(122,1),(128,1),(133,1),(175,1),(182,1),(244,1)}
        18:{2,3,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(37,1),(237,1),(244,1)}
        19:{2,5,6}:{(9,1),(10,1),(36,1),(144,1)}
        20:{2,4,5,7}:{(9,1),(11,1),(34,1),(36,1),(37,1),(78,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(35,1),(38,1),(82,1),(86,1),(141,1),(145,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(36,1)}
        23:{1,3,4,5,7}:{(11,1),(14,1),(37,1),(40,1),(41,1),(72,1),(85,1),(86,1),(127,1),(135,1),(139,1),(188,1),(191,1),(224,1),(226,1)}
        24:{2,4,6,7}:{(12,1),(13,1),(38,1),(42,1),(43,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(42,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(169,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(17,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(19,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(20,1),(49,1),(50,1),(51,1),(64,1),(91,1),(97,1),(99,1),(113,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        32:{2,3,5,7}:{(17,1),(47,1),(52,1),(53,1),(105,1),(158,1),(162,1),(204,1)}
        33:{2,3,5,6}:{(18,1),(19,1),(48,1),(54,1),(58,1),(100,1),(105,1),(158,1),(231,1),(233,1),(242,1)}
        34:{2,4,7}:{(18,1),(49,1),(54,1),(55,1)}
        35:{2,5,6,7}:{(19,1),(21,1),(56,1),(114,1),(169,1)}
        36:{2,4,6}:{(19,1),(20,1),(22,1),(58,1)}
        37:{3,5,7}:{(20,1),(55,1),(58,1),(105,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(60,1)}
        39:{1,4,5,6}:{(22,1),(25,1),(57,1),(60,1),(62,1),(97,1),(116,1),(170,1)}
        40:{1,3,4,6}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(110,1),(112,1),(170,1),(212,1)}
        41:{2,4,5,7}:{(23,1),(59,1),(63,1),(64,1),(99,1),(113,1),(114,1),(158,1),(163,1),(167,1),(209,1),(211,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(60,1),(65,1),(114,1),(211,1)}
        43:{3,4,6,7}:{(24,1),(26,1),(65,1)}
        44:{3,5,6}:{(25,1),(26,1),(65,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(192,1),(226,1)}
        47:{1,3,5,7}:{(28,1),(32,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(34,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(36,1),(71,1),(73,1),(89,1),(118,1),(128,1),(144,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(37,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(226,1),(239,1),(244,1)}
        52:{2,3,5,6}:{(32,1),(69,1),(76,1),(134,1),(175,1),(183,1)}
        53:{2,4,5,7}:{(32,1),(34,1),(70,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(34,1),(71,1),(78,1),(79,1),(240,1)}
        55:{3,4,7}:{(34,1),(37,1),(79,1),(244,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(38,1),(81,1),(82,1)}
        57:{2,4,5,6}:{(36,1),(39,1),(78,1),(81,1),(83,1),(88,1),(142,1)}
        58:{3,6}:{(36,1),(37,1)}
        59:{2,3,5,7}:{(37,1),(41,1),(80,1),(84,1),(85,1),(136,1),(224,1),(226,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(42,1),(81,1),(86,1),(145,1),(191,1)}
        61:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(82,1),(86,1),(87,1),(139,1),(141,1),(191,1),(226,1)}
        62:{1,3,5,6}:{(39,1),(40,1),(44,1),(83,1),(86,1),(88,1),(127,1)}
        63:{2,4,6}:{(40,1),(41,1),(84,1),(88,1),(89,1),(144,1)}
        64:{1,4,5,7}:{(41,1),(85,1),(89,1),(129,1),(145,1),(185,1),(188,1),(191,1)}
        65:{3,5,7}:{(42,1),(43,1),(44,1),(226,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(210,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(52,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(53,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(54,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(55,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(58,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(113,1),(158,1),(166,1),(199,1),(203,1),(210,1),(233,1)}
        75:{2,3,5,6,7}:{(52,1),(94,1),(102,1),(162,1),(195,1),(204,1)}
        76:{2,4,6}:{(52,1),(53,1),(95,1),(104,1)}
        77:{3,4,5,7}:{(53,1),(55,1),(104,1),(105,1),(162,1)}
        78:{2,4,5}:{(54,1),(97,1),(105,1),(158,1)}
        79:{3,4,6}:{(54,1),(55,1),(58,1),(105,1),(242,1),(243,1)}
        80:{2,3,4,7}:{(55,1),(59,1),(99,1),(106,1),(107,1),(167,1),(203,1),(235,1)}
        81:{2,4,5,7}:{(56,1),(57,1),(60,1),(108,1),(114,1),(167,1)}
        82:{3,6,7}:{(56,1),(58,1),(108,1)}
        83:{3,5,6}:{(57,1),(58,1),(105,1),(108,1),(110,1)}
        84:{2,3,6}:{(58,1),(59,1),(63,1),(112,1),(212,1)}
        85:{1,3,5,7}:{(59,1),(64,1),(107,1),(112,1),(113,1),(164,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(108,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(63,1),(109,1),(114,1),(115,1),(167,1),(169,1),(211,1)}
        88:{2,5,6}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        89:{1,4,6}:{(63,1),(64,1),(112,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(225,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(226,1)}
        94:{1,3,5,6,7}:{(69,1),(75,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(76,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(77,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(78,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(79,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(225,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(144,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{2,4,6,7}:{(75,1),(76,1),(123,1),(132,1),(133,1)}
       103:{2,4,5,6}:{(76,1),(78,1),(124,1),(132,1),(134,1),(183,1),(238,1)}
       104:{3,4,6}:{(76,1),(77,1),(134,1)}
       105:{3,5}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(84,1),(128,1),(136,1),(137,1),(142,1),(221,1),(240,1)}
       107:{1,3,4,7}:{(80,1),(85,1),(129,1),(137,1),(138,1),(187,1),(191,1),(226,1)}
       108:{3,5,7}:{(81,1),(82,1),(83,1),(139,1)}
       109:{2,3,6,7}:{(82,1),(84,1),(87,1),(140,1),(141,1),(226,1)}
       110:{3,4,6}:{(83,1),(135,1),(139,1),(142,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(88,1),(136,1),(140,1),(142,1),(143,1)}
       112:{1,3,6}:{(84,1),(85,1),(89,1),(144,1)}
       113:{2,5,7}:{(85,1),(138,1),(144,1),(189,1)}
       114:{2,5,7}:{(86,1),(87,1),(88,1),(145,1)}
       115:{1,4,6,7}:{(87,1),(89,1),(141,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(145,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(166,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(102,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(103,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(104,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(105,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(113,1),(160,1),(161,1),(199,1),(207,1)}
       132:{2,4,5,7}:{(102,1),(103,1),(153,1),(162,1),(204,1),(241,1)}
       133:{3,4,6,7}:{(102,1),(104,1),(162,1)}
       134:{3,5,6}:{(103,1),(104,1),(105,1),(162,1),(242,1)}
       135:{3,4,5}:{(105,1),(110,1),(163,1),(243,1)}
       136:{2,3,5}:{(105,1),(106,1),(158,1),(163,1),(164,1)}
       137:{1,3,4,6}:{(106,1),(107,1),(112,1),(159,1),(164,1),(165,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       138:{2,4,7}:{(107,1),(113,1),(165,1),(166,1)}
       139:{3,4,7}:{(108,1),(110,1),(167,1)}
       140:{2,3,5,7}:{(108,1),(109,1),(111,1),(114,1),(167,1),(168,1)}
       141:{1,3,6,7}:{(109,1),(112,1),(115,1),(168,1),(169,1)}
       142:{2,4,6}:{(110,1),(111,1),(163,1),(167,1),(170,1)}
       143:{1,3,5,6}:{(111,1),(112,1),(116,1),(164,1),(168,1),(170,1),(171,1),(212,1)}
       144:{2,6}:{(112,1),(113,1)}
       145:{1,5,7}:{(114,1),(115,1),(116,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(190,1),(216,1),(225,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(132,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(133,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(134,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(138,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(144,1),(218,1)}
       162:{3,5,7}:{(132,1),(133,1),(134,1),(244,1)}
       163:{2,4,5}:{(135,1),(136,1),(142,1),(188,1),(240,1)}
       164:{1,3,5}:{(136,1),(137,1),(185,1),(188,1),(189,1),(224,1)}
       165:{2,4,6}:{(137,1),(138,1),(144,1),(189,1),(190,1),(225,1)}
       166:{2,3,7}:{(138,1),(187,1),(190,1),(226,1)}
       167:{2,4,7}:{(139,1),(140,1),(142,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(143,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,6,7}:{(141,1),(144,1),(192,1)}
       170:{1,4,6}:{(142,1),(143,1),(188,1),(191,1),(193,1)}
       171:{2,5,6}:{(143,1),(144,1),(189,1),(192,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(162,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(165,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(166,1),(203,1),(208,1)}
       188:{1,4,5}:{(163,1),(164,1),(170,1),(209,1),(234,1)}
       189:{2,5}:{(164,1),(165,1)}
       190:{2,3,6}:{(165,1),(166,1),(208,1),(210,1),(212,1)}
       191:{1,4,7}:{(167,1),(168,1),(170,1),(211,1)}
       192:{2,5,7}:{(168,1),(169,1),(171,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(211,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(225,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(189,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(190,1),(221,1),(223,1)}
       209:{2,4,5}:{(188,1),(189,1),(193,1),(224,1),(225,1)}
       210:{2,3,5}:{(189,1),(190,1),(223,1),(224,1),(225,1)}
       211:{2,4,7}:{(191,1),(192,1),(193,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,5}:{(209,1),(212,1),(235,1)}
       225:{2,4}:{(210,1),(234,1),(235,1)}
       226:{3,7}:{(211,1),(212,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(225,1),(240,1)}
       235:{3,4}:{(224,1),(225,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 718 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(31,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(42,1),(83,1),(84,1),(85,1),(175,1),(276,1),(289,1),(294,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(60,1),(118,1),(154,1),(239,1),(328,1),(357,1)}
         3:{3,5,6}:{(0,1),(13,1),(15,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(15,1),(16,1),(52,1),(61,1),(146,1),(147,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(13,1),(17,1),(228,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(348,1),(352,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(58,1),(60,1),(73,1),(125,1),(129,1),(138,1),(143,1),(151,1),(247,1),(259,1),(350,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(61,1),(128,1),(130,1),(230,1),(334,1),(353,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(97,1),(198,1),(204,1),(271,1),(272,1),(313,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(296,1),(408,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(89,1),(98,1),(167,1),(197,1),(279,1)}
        12:{1,3,4,5}:{(5,1),(25,1),(29,1),(37,1),(76,1),(91,1),(105,1),(161,1),(188,1),(268,1),(296,1)}
        13:{3,4,6}:{(3,1),(5,1),(31,1),(32,1),(471,1)}
        14:{2,3,5,6}:{(3,1),(6,1),(26,1),(31,1),(33,1),(34,1),(42,1),(85,1),(108,1)}
        15:{3,5,7}:{(3,1),(4,1),(32,1),(35,1),(277,1)}
        16:{2,4,6,7}:{(4,1),(28,1),(35,1),(36,1),(90,1),(104,1),(393,1)}
        17:{2,4,5}:{(5,1),(6,1),(31,1),(37,1),(175,1)}
        18:{3,4,5,7}:{(5,1),(32,1),(38,1),(39,1),(100,1),(286,1),(389,1),(400,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(306,1),(317,1),(403,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(406,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(179,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(96,1),(98,1),(180,1),(190,1),(195,1),(202,1),(404,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(143,1),(250,1),(365,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(144,1),(221,1),(222,1),(253,1),(367,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(13,1),(45,1),(49,1),(50,1),(60,1),(118,1),(129,1),(143,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(352,1),(453,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(15,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(16,1),(48,1),(53,1),(54,1),(135,1),(357,1)}
        29:{2,4,5}:{(12,1),(49,1),(55,1),(56,1),(136,1),(243,1),(352,1)}
        30:{1,2,4,6}:{(21,1),(57,1),(58,1),(59,1),(127,1),(138,1),(140,1),(226,1),(234,1),(247,1),(350,1)}
        31:{2,4,6}:{(13,1),(14,1),(17,1),(60,1),(61,1)}
        32:{3,4,7}:{(13,1),(15,1),(61,1),(440,1)}
        33:{1,3,5,6}:{(14,1),(19,1),(51,1),(60,1),(63,1),(64,1),(73,1),(129,1),(143,1),(154,1),(260,1)}
        34:{2,3,5,7}:{(14,1),(15,1),(52,1),(61,1),(64,1),(65,1),(130,1),(146,1)}
        35:{3,6,7}:{(15,1),(16,1),(438,1)}
        36:{2,5,6,7}:{(16,1),(54,1),(66,1),(146,1),(336,1),(442,1)}
        37:{1,4,5}:{(17,1),(19,1),(60,1),(67,1),(138,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(61,1),(68,1),(69,1),(146,1),(230,1),(348,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(451,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(453,1)}
        43:{2,3,6}:{(21,1),(58,1),(71,1),(75,1),(143,1),(227,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(236,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(85,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(195,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(90,1),(173,1),(313,1)}
        49:{2,4,6}:{(25,1),(26,1),(29,1),(85,1),(86,1),(87,1),(179,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(32,1),(78,1),(87,1),(98,1),(167,1),(180,1),(195,1),(277,1)}
        51:{1,5,6}:{(26,1),(86,1),(89,1),(403,1),(487,1)}
        52:{2,5,7}:{(26,1),(27,1),(87,1),(89,1),(90,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(35,1),(81,1),(90,1),(408,1)}
        54:{1,5,6,7}:{(28,1),(36,1),(82,1),(197,1),(279,1),(410,1)}
        55:{2,3,5}:{(29,1),(83,1),(85,1),(91,1),(105,1),(268,1)}
        56:{1,4,5}:{(29,1),(86,1),(91,1),(301,1),(403,1)}
        57:{1,2,5}:{(30,1),(40,1),(93,1),(177,1),(306,1),(403,1)}
        58:{1,3,6}:{(30,1),(43,1),(84,1),(93,1),(96,1),(283,1)}
        59:{1,2,4,7}:{(30,1),(44,1),(94,1),(96,1),(178,1),(190,1),(293,1),(404,1)}
        60:{1,4,6}:{(31,1),(33,1),(37,1),(97,1),(98,1),(318,1)}
        61:{2,4,7}:{(31,1),(32,1),(34,1),(98,1)}
        62:{3,4,6,7}:{(32,1),(35,1),(39,1),(99,1),(100,1),(104,1)}
        63:{2,5,6}:{(33,1),(40,1),(97,1),(102,1),(112,1),(179,1)}
        64:{1,3,5,7}:{(33,1),(34,1),(89,1),(98,1),(102,1),(103,1),(180,1),(195,1),(197,1),(311,1)}
        65:{2,3,6,7}:{(34,1),(35,1),(42,1),(90,1),(99,1),(103,1)}
        66:{3,5,6,7}:{(35,1),(36,1),(100,1),(104,1),(391,1),(479,1)}
        67:{2,4,5}:{(37,1),(40,1),(97,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(98,1),(106,1),(107,1),(190,1),(197,1),(306,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(100,1),(108,1),(109,1),(400,1)}
        71:{2,3,5}:{(40,1),(43,1),(93,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(487,1)}
        74:{2,3,4,6}:{(43,1),(95,1),(110,1),(113,1),(114,1),(194,1),(205,1),(207,1),(209,1),(284,1),(294,1),(397,1)}
        75:{2,3,7}:{(43,1),(44,1),(96,1),(195,1)}
        76:{3,4,5}:{(45,1),(115,1),(250,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(367,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(129,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(130,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(365,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(253,1),(369,1)}
        83:{2,3,4}:{(55,1),(125,1),(151,1),(243,1),(325,1),(340,1)}
        84:{2,3,6}:{(58,1),(126,1),(127,1),(128,1),(340,1),(343,1)}
        85:{2,3,6}:{(49,1),(55,1),(129,1),(130,1),(143,1),(218,1)}
        86:{1,4,6}:{(49,1),(51,1),(56,1),(129,1),(132,1)}
        87:{2,4,7}:{(49,1),(50,1),(52,1),(130,1),(132,1),(236,1)}
        88:{1,2,5,6}:{(51,1),(57,1),(63,1),(121,1),(131,1),(133,1),(134,1),(140,1),(232,1),(234,1),(321,1),(352,1),(423,1),(450,1),(453,1),(503,1)}
        89:{1,5,7}:{(51,1),(52,1),(132,1),(135,1)}
        90:{2,6,7}:{(52,1),(53,1),(135,1),(453,1)}
        91:{1,3,5}:{(55,1),(56,1),(125,1),(129,1),(136,1)}
        92:{1,2,4,5}:{(56,1),(57,1),(67,1),(131,1),(136,1),(137,1),(138,1),(212,1),(226,1),(229,1),(239,1),(243,1),(321,1),(352,1),(359,1),(421,1),(443,1),(491,1)}
        93:{1,3,5}:{(57,1),(58,1),(71,1),(126,1),(138,1)}
        94:{1,2,5,7}:{(57,1),(59,1),(72,1),(139,1),(140,1),(233,1),(451,1)}
        95:{1,3,4,6}:{(58,1),(74,1),(127,1),(138,1),(141,1),(142,1),(228,1),(245,1),(247,1),(249,1),(341,1),(343,1),(345,1),(350,1),(444,1)}
        96:{1,3,7}:{(58,1),(59,1),(75,1),(128,1)}
        97:{2,4,6}:{(60,1),(63,1),(67,1),(143,1),(144,1)}
        98:{1,4,7}:{(60,1),(61,1),(64,1),(144,1),(367,1)}
        99:{2,4,6,7}:{(61,1),(62,1),(65,1),(69,1),(145,1),(146,1)}
       100:{3,5,7}:{(62,1),(70,1),(146,1),(147,1)}
       101:{2,3,5,6}:{(63,1),(71,1),(133,1),(143,1),(148,1),(149,1),(157,1),(235,1),(250,1),(260,1),(263,1),(352,1),(365,1),(369,1),(420,1),(453,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
       102:{2,5,7}:{(63,1),(64,1),(144,1),(150,1),(236,1)}
       103:{1,3,6,7}:{(64,1),(65,1),(73,1),(135,1),(145,1),(150,1),(252,1)}
       104:{4,6,7}:{(66,1),(147,1),(440,1),(509,1)}
       105:{3,5}:{(67,1),(143,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(144,1),(152,1),(153,1),(156,1),(253,1),(263,1),(367,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(146,1),(154,1),(348,1)}
       109:{4,5,6}:{(70,1),(147,1),(448,1),(509,1)}
       110:{2,4}:{(71,1),(138,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(139,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(141,1),(155,1),(250,1),(263,1),(352,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(142,1),(156,1),(159,1),(251,1),(261,1),(353,1),(445,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(309,1),(416,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(85,1),(160,1),(164,1),(165,1),(194,1),(267,1),(294,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(179,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(89,1),(167,1),(171,1),(172,1),(180,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(90,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(311,1),(415,1)}
       125:{1,3,4}:{(83,1),(91,1),(174,1),(283,1),(301,1)}
       126:{2,3,5}:{(84,1),(93,1),(175,1),(177,1),(285,1)}
       127:{2,4,6}:{(84,1),(95,1),(175,1),(177,1),(178,1),(291,1),(395,1),(482,1)}
       128:{2,3,7}:{(84,1),(96,1),(178,1),(398,1)}
       129:{1,3,6}:{(85,1),(86,1),(91,1),(179,1),(180,1)}
       130:{2,3,7}:{(85,1),(87,1),(180,1),(195,1),(277,1)}
       131:{1,2,4,6}:{(86,1),(88,1),(92,1),(97,1),(166,1),(179,1),(181,1),(182,1),(183,1),(287,1),(294,1),(411,1),(482,1),(515,1)}
       132:{1,4,7}:{(86,1),(87,1),(89,1),(180,1)}
       133:{1,3,5,6}:{(88,1),(93,1),(101,1),(170,1),(181,1),(183,1),(184,1),(191,1),(292,1),(296,1),(306,1),(374,1),(403,1),(408,1),(410,1),(464,1),(487,1),(520,1)}
       134:{1,2,5,7}:{(88,1),(89,1),(102,1),(171,1),(182,1),(184,1),(185,1),(290,1),(293,1),(406,1),(486,1),(525,1)}
       135:{1,6,7}:{(89,1),(90,1),(487,1)}
       136:{2,5}:{(91,1),(174,1),(179,1)}
       137:{1,3,5}:{(92,1),(105,1),(181,1),(187,1),(188,1),(268,1),(283,1),(285,1),(513,1)}
       138:{1,4}:{(93,1),(110,1),(175,1)}
       139:{1,3,5,7}:{(93,1),(94,1),(96,1),(111,1),(176,1),(190,1),(191,1),(306,1)}
       140:{1,2,6}:{(94,1),(112,1),(191,1),(291,1),(487,1)}
       141:{1,3,5}:{(95,1),(113,1),(177,1),(189,1),(285,1),(306,1),(400,1),(403,1)}
       142:{1,3,4,7}:{(95,1),(96,1),(114,1),(178,1),(190,1),(193,1),(286,1),(304,1),(398,1),(404,1),(483,1)}
       143:{3,6}:{(97,1),(105,1),(195,1)}
       144:{2,4,7}:{(97,1),(98,1),(102,1),(195,1)}
       145:{1,4,6,7}:{(98,1),(99,1),(103,1),(107,1),(196,1),(197,1)}
       146:{2,5,7}:{(99,1),(100,1),(108,1),(197,1)}
       147:{4,5,7}:{(100,1),(104,1),(109,1)}
       148:{2,4,6}:{(101,1),(110,1),(183,1),(194,1),(198,1),(199,1),(318,1),(460,1),(551,1)}
       149:{2,3,5,7}:{(101,1),(102,1),(184,1),(195,1),(199,1),(200,1),(295,1),(309,1),(311,1),(314,1),(406,1),(525,1),(540,1),(550,1)}
       150:{2,6,7}:{(102,1),(103,1),(112,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(195,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(197,1),(204,1),(306,1)}
       155:{2,4,5}:{(110,1),(113,1),(189,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(190,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(191,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(192,1),(205,1),(208,1),(209,1),(308,1),(320,1),(397,1),(405,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(193,1),(206,1),(209,1),(309,1),(406,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(250,1),(352,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(365,1),(458,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(129,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(350,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(130,1),(211,1),(217,1),(251,1),(353,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(126,1),(133,1),(218,1),(223,1),(224,1),(231,1),(232,1),(235,1),(322,1),(333,1),(343,1),(348,1),(352,1),(426,1),(430,1),(438,1),(442,1),(447,1),(453,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(236,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(135,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(367,1),(458,1)}
       174:{2,4}:{(125,1),(136,1),(227,1)}
       175:{2,4}:{(126,1),(138,1),(228,1)}
       176:{2,3,5,7}:{(126,1),(128,1),(139,1),(230,1),(231,1),(233,1),(344,1),(348,1)}
       177:{2,5}:{(127,1),(141,1)}
       178:{2,4,7}:{(127,1),(128,1),(142,1),(233,1),(510,1)}
       179:{2,6}:{(129,1),(136,1),(236,1)}
       180:{1,3,7}:{(129,1),(130,1),(132,1),(236,1)}
       181:{1,3,6}:{(131,1),(137,1),(143,1),(218,1),(235,1),(238,1),(343,1),(529,1)}
       182:{1,2,4,7}:{(131,1),(132,1),(134,1),(144,1),(219,1),(236,1),(238,1),(240,1),(346,1),(353,1),(456,1),(510,1),(532,1)}
       183:{1,4,6}:{(133,1),(138,1),(148,1),(223,1),(239,1),(240,1),(421,1)}
       184:{1,3,5,7}:{(133,1),(134,1),(149,1),(224,1),(238,1),(240,1),(241,1),(351,1),(358,1),(451,1)}
       185:{1,2,6,7}:{(134,1),(135,1),(140,1),(150,1),(225,1),(241,1),(349,1),(423,1),(453,1),(512,1),(539,1)}
       186:{1,2,5}:{(136,1),(226,1),(234,1),(242,1),(443,1)}
       187:{2,3,5}:{(136,1),(137,1),(227,1),(235,1),(242,1),(243,1),(340,1),(352,1),(443,1)}
       188:{1,3,4}:{(137,1),(138,1),(151,1),(228,1),(243,1),(325,1),(421,1),(490,1)}
       189:{1,4,5}:{(138,1),(141,1),(155,1),(229,1),(245,1),(448,1)}
       190:{1,4,7}:{(138,1),(139,1),(156,1),(230,1),(247,1)}
       191:{1,3,6}:{(139,1),(140,1),(157,1),(231,1),(247,1)}
       192:{1,3,5,6}:{(141,1),(158,1),(232,1),(245,1),(248,1),(249,1),(343,1),(363,1),(444,1),(447,1),(450,1)}
       193:{1,3,5,7}:{(141,1),(142,1),(159,1),(233,1),(246,1),(249,1),(344,1),(451,1)}
       194:{3,4,6}:{(143,1),(148,1),(151,1),(250,1),(251,1),(365,1),(490,1),(529,1)}
       195:{3,7}:{(143,1),(144,1)}
       196:{2,4,6,7}:{(144,1),(145,1),(150,1),(153,1),(252,1),(253,1),(367,1)}
       197:{1,5,7}:{(145,1),(146,1),(154,1),(253,1)}
       198:{2,4,5}:{(148,1),(239,1),(250,1),(263,1),(352,1),(372,1),(534,1),(548,1)}
       199:{2,4,7}:{(148,1),(149,1),(240,1),(251,1),(367,1),(552,1)}
       200:{2,3,6,7}:{(149,1),(150,1),(157,1),(241,1),(252,1),(256,1),(365,1),(453,1),(493,1),(539,1),(546,1)}
       201:{3,4,5}:{(151,1),(155,1),(250,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(367,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(253,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(245,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(246,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(247,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(248,1),(261,1),(264,1),(364,1),(373,1),(445,1),(452,1)}
       209:{2,3,6}:{(159,1),(249,1),(262,1),(365,1),(453,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(403,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(309,1),(406,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(179,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(180,1),(266,1),(275,1),(277,1),(380,1),(385,1),(404,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(175,1),(183,1),(276,1),(280,1),(281,1),(376,1),(471,1),(485,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(184,1),(277,1),(281,1),(282,1),(290,1),(295,1),(389,1),(391,1),(394,1),(398,1),(406,1),(484,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,4}:{(174,1),(186,1),(283,1),(301,1),(395,1)}
       227:{2,3}:{(174,1),(283,1)}
       228:{3,4}:{(175,1),(285,1)}
       229:{2,4,5}:{(175,1),(177,1),(189,1),(285,1),(287,1)}
       230:{2,4,7}:{(175,1),(176,1),(190,1),(286,1),(289,1)}
       231:{2,3,6}:{(176,1),(191,1),(289,1),(291,1),(399,1)}
       232:{2,5,6}:{(177,1),(192,1),(287,1),(290,1),(291,1),(482,1)}
       233:{2,5,7}:{(177,1),(178,1),(193,1),(291,1)}
       234:{1,2,6}:{(179,1),(186,1),(292,1),(293,1),(482,1)}
       235:{2,3,6}:{(179,1),(181,1),(187,1),(292,1),(294,1),(295,1),(482,1)}
       236:{2,7}:{(179,1),(180,1)}
       237:{1,3,4,6}:{(181,1),(183,1),(188,1),(194,1),(276,1),(294,1),(296,1),(297,1),(408,1)}
       238:{1,3,7}:{(181,1),(182,1),(195,1),(277,1),(295,1),(398,1),(540,1)}
       239:{1,4,5}:{(183,1),(198,1),(280,1),(296,1),(306,1),(403,1),(520,1)}
       240:{1,4,7}:{(183,1),(184,1),(199,1),(281,1)}
       241:{1,3,6,7}:{(184,1),(185,1),(191,1),(200,1),(282,1),(300,1),(408,1),(464,1),(487,1)}
       242:{1,3,5}:{(186,1),(187,1),(283,1),(292,1),(301,1),(403,1)}
       243:{2,4}:{(187,1),(188,1),(301,1)}
       244:{1,3,4,5}:{(188,1),(189,1),(201,1),(285,1),(296,1),(302,1),(303,1),(379,1),(396,1),(462,1),(513,1)}
       245:{1,4,6}:{(189,1),(192,1),(205,1),(287,1),(304,1),(485,1)}
       246:{1,4,5,7}:{(189,1),(190,1),(193,1),(206,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       247:{1,4,6}:{(190,1),(191,1),(207,1),(289,1),(306,1)}
       248:{1,3,5,7}:{(192,1),(208,1),(290,1),(304,1),(307,1),(398,1),(413,1),(483,1),(484,1),(486,1)}
       249:{1,3,6}:{(193,1),(209,1),(291,1),(305,1),(399,1),(487,1)}
       250:{3,5}:{(194,1),(198,1)}
       251:{3,4,7}:{(194,1),(195,1),(199,1),(309,1),(540,1)}
       252:{3,6,7}:{(195,1),(196,1),(203,1),(311,1)}
       253:{2,5,7}:{(196,1),(197,1),(204,1),(311,1)}
       254:{2,4,5,6}:{(198,1),(205,1),(298,1),(308,1),(312,1),(313,1),(320,1),(405,1),(419,1),(515,1),(544,1),(551,1)}
       255:{2,4,5,7}:{(198,1),(199,1),(299,1),(309,1),(313,1),(314,1),(406,1),(416,1)}
       256:{2,4,6,7}:{(199,1),(200,1),(207,1),(300,1),(310,1),(313,1),(314,1),(517,1)}
       257:{3,4,6}:{(201,1),(205,1),(308,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(309,1),(315,1),(316,1),(317,1),(416,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(311,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(304,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(305,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(306,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(307,1),(319,1),(414,1),(488,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(451,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(365,1),(453,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(458,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(234,1),(321,1),(329,1),(330,1),(350,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(227,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(236,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(228,1),(325,1),(333,1),(334,1),(343,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(239,1),(333,1),(348,1),(352,1),(448,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(240,1),(334,1),(440,1),(511,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(231,1),(241,1),(335,1),(339,1),(349,1),(426,1),(438,1),(446,1),(453,1)}
       283:{1,3}:{(226,1),(227,1),(340,1)}
       284:{2,3,4}:{(227,1),(228,1),(243,1),(341,1),(342,1),(490,1)}
       285:{3,5}:{(228,1),(229,1),(343,1)}
       286:{3,4,7}:{(228,1),(230,1),(344,1),(345,1),(511,1)}
       287:{2,4,6}:{(229,1),(232,1),(245,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(229,1),(230,1),(233,1),(246,1),(344,1),(346,1),(347,1),(348,1),(448,1),(449,1),(511,1)}
       289:{2,4,6}:{(230,1),(231,1),(247,1),(345,1),(348,1)}
       290:{2,5,7}:{(232,1),(248,1),(346,1),(349,1),(510,1)}
       291:{2,6}:{(233,1),(249,1)}
       292:{1,3,6}:{(234,1),(235,1),(242,1),(350,1),(351,1)}
       293:{1,2,7}:{(234,1),(236,1),(351,1),(510,1)}
       294:{2,4,6}:{(235,1),(237,1),(243,1),(350,1),(352,1),(353,1),(453,1)}
       295:{2,3,7}:{(235,1),(236,1),(238,1),(351,1),(353,1),(510,1)}
       296:{1,3,5}:{(237,1),(239,1),(250,1),(333,1),(352,1)}
       297:{1,3,4,7}:{(237,1),(238,1),(240,1),(251,1),(334,1),(353,1),(355,1)}
       298:{1,4,5,6}:{(239,1),(245,1),(254,1),(337,1),(354,1),(356,1),(357,1),(363,1),(450,1),(494,1),(536,1)}
       299:{1,4,5,7}:{(239,1),(240,1),(255,1),(338,1),(355,1),(357,1),(358,1),(451,1)}
       300:{1,4,6,7}:{(240,1),(241,1),(247,1),(256,1),(339,1),(357,1),(358,1),(496,1)}
       301:{1,4}:{(242,1),(243,1)}
       302:{2,4,5}:{(243,1),(244,1),(342,1),(352,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(244,1),(245,1),(257,1),(343,1),(354,1),(360,1),(361,1),(427,1),(444,1),(494,1),(529,1)}
       304:{1,4,7}:{(245,1),(248,1),(261,1),(346,1),(511,1)}
       305:{1,4,6}:{(246,1),(249,1),(262,1),(347,1),(363,1)}
       306:{1,5}:{(247,1),(263,1),(348,1)}
       307:{1,3,6,7}:{(248,1),(249,1),(264,1),(349,1),(362,1),(446,1),(512,1)}
       308:{3,5,6}:{(250,1),(254,1),(257,1),(364,1),(365,1),(529,1)}
       309:{3,5,7}:{(250,1),(251,1),(255,1),(365,1)}
       310:{3,4,6,7}:{(251,1),(252,1),(256,1),(259,1),(365,1),(366,1),(367,1),(458,1),(531,1),(546,1),(552,1)}
       311:{3,5,7}:{(252,1),(253,1),(260,1),(367,1)}
       312:{2,4,5,7}:{(254,1),(261,1),(356,1),(364,1),(368,1),(373,1),(452,1),(459,1),(532,1),(549,1),(552,1)}
       313:{2,4,6}:{(255,1),(357,1),(365,1),(369,1),(453,1),(458,1)}
       314:{2,5,7}:{(256,1),(263,1),(358,1),(366,1),(369,1),(534,1)}
       315:{3,4,7}:{(257,1),(261,1),(364,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(365,1),(371,1),(458,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(367,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(362,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(363,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(403,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(487,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(283,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(293,1),(375,1),(385,1),(404,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(284,1),(294,1),(376,1),(384,1),(386,1),(387,1),(397,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(398,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(287,1),(298,1),(388,1),(392,1),(393,1),(402,1),(405,1),(465,1),(485,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(299,1),(389,1),(393,1),(394,1),(406,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(289,1),(300,1),(390,1),(393,1),(394,1),(467,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(285,1),(302,1),(396,1),(397,1),(513,1)}
       343:{3,6}:{(285,1),(287,1),(398,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,4,6}:{(286,1),(289,1),(399,1),(400,1),(485,1)}
       346:{2,4,7}:{(287,1),(290,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(291,1),(305,1),(399,1),(402,1),(485,1)}
       348:{2,5}:{(289,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,4,6}:{(292,1),(294,1),(301,1),(403,1),(404,1),(487,1)}
       351:{1,3,7}:{(292,1),(293,1),(295,1),(404,1)}
       352:{2,5}:{(294,1),(296,1),(403,1)}
       353:{2,4,7}:{(294,1),(295,1),(297,1),(404,1),(406,1)}
       354:{1,3,5,6}:{(296,1),(298,1),(303,1),(308,1),(388,1),(405,1),(407,1),(408,1)}
       355:{1,3,5,7}:{(296,1),(297,1),(299,1),(309,1),(389,1),(406,1),(408,1)}
       356:{1,4,5,7}:{(298,1),(304,1),(312,1),(392,1),(407,1),(409,1),(413,1),(486,1),(518,1),(545,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(408,1),(410,1),(487,1)}
       358:{1,5,7}:{(300,1),(306,1),(314,1),(394,1),(410,1),(520,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(403,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(405,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(304,1),(315,1),(398,1),(407,1),(412,1),(468,1),(483,1),(518,1),(540,1)}
       362:{1,4,6,7}:{(304,1),(305,1),(307,1),(319,1),(401,1),(413,1)}
       363:{1,5,6}:{(305,1),(306,1),(320,1),(402,1),(413,1)}
       364:{3,5,7}:{(308,1),(312,1),(315,1),(414,1),(540,1)}
       365:{3,6}:{(309,1),(313,1)}
       366:{3,5,7}:{(310,1),(314,1),(317,1),(415,1),(416,1),(542,1)}
       367:{4,7}:{(311,1),(318,1)}
       368:{2,4,6,7}:{(312,1),(313,1),(409,1),(414,1),(417,1),(488,1),(489,1)}
       369:{2,5,6}:{(313,1),(314,1),(410,1),(415,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(414,1),(418,1),(489,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(451,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(448,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(340,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(341,1),(350,1),(421,1),(431,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(352,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(353,1),(425,1),(434,1),(436,1),(445,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(343,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(345,1),(429,1),(438,1),(439,1),(440,1),(446,1),(509,1),(511,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(356,1),(437,1),(441,1),(449,1),(452,1),(497,1),(511,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(357,1),(438,1),(442,1),(453,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(358,1),(439,1),(442,1),(499,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(343,1),(360,1),(444,1),(445,1),(529,1)}
       398:{3,7}:{(343,1),(346,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,5}:{(345,1),(348,1),(448,1)}
       401:{2,4,6,7}:{(346,1),(347,1),(349,1),(362,1),(446,1),(449,1),(511,1)}
       402:{2,5,6}:{(347,1),(348,1),(363,1),(447,1),(449,1)}
       403:{1,5}:{(350,1),(352,1)}
       404:{1,4,7}:{(350,1),(351,1),(353,1),(451,1)}
       405:{2,5,6}:{(352,1),(354,1),(360,1),(450,1),(452,1),(453,1)}
       406:{2,5,7}:{(352,1),(353,1),(355,1),(451,1),(453,1)}
       407:{1,3,5,7}:{(354,1),(356,1),(361,1),(364,1),(437,1),(452,1),(454,1)}
       408:{1,3,6}:{(355,1),(357,1),(365,1),(438,1),(453,1)}
       409:{1,4,6,7}:{(356,1),(357,1),(368,1),(441,1),(454,1),(455,1),(512,1)}
       410:{1,5,6}:{(357,1),(358,1),(369,1),(442,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(450,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(452,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{3,6,7}:{(364,1),(365,1),(368,1)}
       415:{3,5,6}:{(365,1),(366,1),(369,1),(458,1)}
       416:{4,5,7}:{(366,1),(367,1),(372,1),(458,1),(548,1),(552,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(457,1),(549,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(458,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(487,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(485,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(395,1),(460,1),(472,1),(473,1),(482,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(403,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(404,1),(463,1),(473,1),(475,1),(483,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(405,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(406,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(398,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(400,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(409,1),(478,1),(481,1),(488,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(410,1),(479,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(398,1),(412,1),(483,1),(540,1)}
       446:{3,6,7}:{(398,1),(399,1),(401,1),(484,1)}
       447:{3,5,6}:{(399,1),(400,1),(402,1),(484,1),(485,1)}
       448:{4,5}:{(400,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(484,1)}
       450:{1,5,6}:{(403,1),(405,1),(411,1),(486,1),(487,1)}
       451:{1,5,7}:{(403,1),(404,1),(406,1),(487,1)}
       452:{2,5,7}:{(405,1),(407,1),(412,1),(486,1),(488,1)}
       453:{2,6}:{(406,1),(408,1),(487,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(409,1),(414,1),(478,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(486,1)}
       457:{3,5,6,7}:{(414,1),(415,1),(417,1),(418,1),(489,1),(550,1)}
       458:{4,6}:{(415,1),(416,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(511,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(510,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(444,1),(450,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(451,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(452,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(453,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(448,1),(502,1),(509,1),(511,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(508,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{3,5,7}:{(446,1),(447,1),(449,1),(511,1)}
       485:{4,6}:{(447,1),(448,1),(511,1)}
       486:{1,5,7}:{(450,1),(452,1),(456,1),(512,1)}
       487:{1,6}:{(451,1),(453,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(482,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(483,1),(486,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(487,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(488,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(484,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(510,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 719 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 720 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(45,1),(61,1),(107,1),(235,1),(304,1),(316,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(29,1),(44,1),(96,1),(148,1),(248,1),(350,1),(356,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(11,1),(356,1),(368,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(10,1),(26,1),(76,1),(88,1),(95,1),(182,1),(290,1),(369,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(39,1),(74,1),(151,1),(155,1),(188,1),(193,1),(254,1),(266,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(24,1),(53,1),(61,1),(107,1),(200,1)}
         6:{3,4,6}:{(1,1),(15,1),(16,1),(396,1),(402,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(23,1),(55,1),(415,1)}
         8:{2,3,6}:{(2,1),(15,1),(19,1),(402,1),(414,1)}
         9:{2,4,7}:{(3,1),(18,1),(21,1),(22,1),(344,1)}
        10:{1,3,4,6}:{(3,1),(4,1),(19,1),(22,1),(23,1),(49,1),(65,1),(115,1),(120,1),(129,1),(140,1),(145,1),(241,1),(244,1),(321,1)}
        11:{2,3,5}:{(4,1),(23,1),(24,1),(200,1),(307,1),(320,1)}
        12:{1,2,4,7}:{(9,1),(25,1),(26,1),(27,1),(73,1),(76,1),(369,1),(370,1)}
        13:{3,4,6,7}:{(6,1),(28,1),(29,1),(84,1),(96,1),(170,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(30,1),(31,1),(43,1),(76,1),(86,1),(95,1),(160,1)}
        15:{2,4,6}:{(5,1),(6,1),(8,1),(31,1),(32,1)}
        16:{3,5,6}:{(6,1),(29,1),(32,1),(33,1),(248,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(34,1),(35,1),(170,1),(275,1)}
        18:{2,5,7}:{(7,1),(9,1),(37,1),(42,1)}
        19:{1,3,6}:{(7,1),(8,1),(31,1),(37,1),(89,1),(453,1)}
        20:{2,3,5,6}:{(8,1),(11,1),(32,1),(35,1),(38,1),(39,1),(92,1),(179,1),(188,1)}
        21:{2,3,7}:{(9,1),(26,1),(41,1),(182,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(41,1),(42,1),(104,1),(295,1),(297,1)}
        23:{1,3,5}:{(10,1),(11,1),(42,1),(43,1),(105,1),(160,1),(176,1),(373,1)}
        24:{2,4,5}:{(11,1),(39,1),(43,1),(44,1),(155,1)}
        25:{1,2,5,7}:{(12,1),(18,1),(46,1),(47,1),(50,1),(109,1),(415,1)}
        26:{1,3,7}:{(12,1),(21,1),(45,1),(49,1)}
        27:{1,2,4,6}:{(12,1),(22,1),(47,1),(49,1),(50,1),(110,1),(115,1),(120,1),(321,1),(322,1),(326,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(17,1),(52,1),(53,1),(61,1)}
        29:{3,5,7}:{(13,1),(16,1),(53,1),(54,1)}
        30:{2,4,5,7}:{(14,1),(18,1),(55,1),(56,1),(62,1),(70,1),(125,1),(135,1),(138,1),(223,1),(228,1)}
        31:{1,4,6}:{(14,1),(15,1),(19,1),(56,1),(57,1)}
        32:{2,5,6}:{(15,1),(16,1),(53,1),(57,1),(200,1)}
        33:{4,5,6}:{(16,1),(54,1),(301,1),(396,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(52,1),(59,1),(60,1),(124,1),(330,1)}
        35:{2,3,5,7}:{(17,1),(20,1),(53,1),(60,1),(61,1),(127,1),(225,1),(235,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(46,1),(55,1),(62,1),(63,1),(69,1),(138,1)}
        37:{2,6}:{(18,1),(19,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(23,1),(57,1),(60,1),(64,1),(65,1),(130,1),(140,1),(231,1),(241,1)}
        39:{2,4,6}:{(20,1),(24,1),(61,1),(65,1),(66,1)}
        40:{2,3,4,7}:{(21,1),(48,1),(62,1),(67,1),(68,1),(234,1),(242,1),(316,1),(409,1)}
        41:{2,3,6}:{(21,1),(22,1),(49,1),(69,1),(140,1),(348,1)}
        42:{2,5}:{(22,1),(23,1)}
        43:{1,4,5}:{(23,1),(24,1),(65,1),(70,1),(120,1),(228,1)}
        44:{3,4,5}:{(24,1),(66,1),(205,1),(307,1),(547,1)}
        45:{2,3,7}:{(26,1),(73,1),(74,1),(362,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(36,1),(72,1),(76,1),(77,1),(81,1),(160,1)}
        47:{1,2,6}:{(25,1),(37,1),(77,1),(153,1),(453,1)}
        48:{1,3,4,7}:{(26,1),(40,1),(73,1),(76,1),(79,1),(80,1),(148,1),(268,1),(362,1),(369,1),(450,1)}
        49:{1,3,6}:{(26,1),(27,1),(41,1),(74,1),(81,1),(377,1)}
        50:{1,2,5}:{(27,1),(42,1),(81,1),(154,1),(160,1),(373,1)}
        51:{3,5,6,7}:{(29,1),(83,1),(84,1),(170,1),(349,1),(512,1)}
        52:{1,4,6,7}:{(28,1),(31,1),(34,1),(85,1),(86,1),(95,1)}
        53:{2,5,7}:{(28,1),(29,1),(32,1),(86,1)}
        54:{4,5,7}:{(29,1),(33,1),(84,1)}
        55:{3,5,7}:{(30,1),(88,1),(89,1),(105,1),(176,1),(182,1)}
        56:{2,4,6}:{(30,1),(31,1),(37,1),(89,1),(90,1),(177,1)}
        57:{1,5,6}:{(31,1),(32,1),(86,1),(90,1),(160,1)}
        58:{2,4,5,6}:{(32,1),(33,1),(39,1),(87,1),(91,1),(92,1),(179,1),(253,1),(355,1),(388,1),(511,1),(540,1)}
        59:{2,6,7}:{(34,1),(37,1),(94,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(38,1),(86,1),(94,1),(95,1),(172,1),(182,1),(280,1),(290,1)}
        61:{2,4,7}:{(35,1),(39,1),(95,1),(96,1)}
        62:{2,4,7}:{(36,1),(76,1),(88,1),(98,1),(104,1)}
        63:{2,3,6}:{(36,1),(37,1),(77,1),(89,1),(98,1)}
        64:{2,5,6}:{(37,1),(38,1),(42,1),(94,1),(100,1),(295,1)}
        65:{1,4,6}:{(38,1),(39,1),(43,1),(95,1),(100,1),(177,1)}
        66:{3,4,6}:{(39,1),(44,1),(92,1),(96,1),(540,1)}
        67:{2,3,5,7}:{(40,1),(79,1),(97,1),(102,1),(103,1),(288,1),(368,1)}
        68:{2,3,4,6}:{(40,1),(41,1),(80,1),(98,1),(102,1),(103,1),(104,1),(187,1),(191,1),(258,1),(266,1),(363,1)}
        69:{2,3,5}:{(41,1),(42,1),(81,1),(104,1),(105,1)}
        70:{2,4,5}:{(42,1),(43,1),(100,1),(104,1),(105,1)}
        71:{1,3,4,5}:{(43,1),(44,1),(101,1),(105,1),(106,1),(166,1),(194,1),(265,1),(283,1),(387,1),(464,1)}
        72:{2,3,5,7}:{(45,1),(46,1),(107,1),(108,1),(109,1),(111,1),(195,1),(200,1)}
        73:{2,4,7}:{(45,1),(48,1),(109,1),(110,1),(483,1)}
        74:{2,3,6}:{(45,1),(49,1),(110,1),(111,1),(310,1),(412,1)}
        75:{1,2,6,7}:{(47,1),(59,1),(112,1),(113,1),(202,1),(330,1),(414,1),(425,1),(484,1),(485,1),(524,1)}
        76:{1,4,7}:{(46,1),(62,1),(107,1),(115,1),(120,1)}
        77:{1,3,6}:{(46,1),(47,1),(63,1),(108,1),(115,1)}
        78:{1,2,5,6}:{(47,1),(50,1),(64,1),(113,1),(116,1),(117,1),(203,1),(231,1),(320,1),(322,1),(339,1),(414,1),(418,1),(419,1),(481,1),(485,1)}
        79:{1,3,5,7}:{(48,1),(67,1),(109,1),(114,1),(118,1),(119,1),(195,1),(415,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(68,1),(110,1),(115,1),(118,1),(119,1),(120,1),(196,1),(205,1),(215,1),(310,1),(312,1),(321,1),(410,1)}
        81:{1,3,5}:{(49,1),(50,1),(69,1),(111,1),(120,1)}
        82:{1,2,4,5}:{(50,1),(70,1),(117,1),(120,1),(121,1),(147,1),(204,1),(211,1),(217,1),(245,1),(320,1),(325,1),(326,1),(411,1),(419,1),(429,1),(475,1),(487,1)}
        83:{2,5,6,7}:{(51,1),(53,1),(122,1),(123,1),(302,1),(489,1)}
        84:{4,6,7}:{(51,1),(54,1),(396,1),(529,1)}
        85:{2,4,6,7}:{(52,1),(56,1),(59,1),(124,1),(125,1),(135,1),(223,1)}
        86:{1,5,7}:{(52,1),(53,1),(57,1),(125,1)}
        87:{2,4,5,7}:{(53,1),(54,1),(58,1),(61,1),(123,1),(126,1),(127,1),(225,1),(428,1),(489,1),(529,1)}
        88:{3,4,7}:{(55,1),(62,1),(129,1),(145,1),(223,1)}
        89:{3,6}:{(55,1),(56,1)}
        90:{2,5,6}:{(56,1),(57,1),(125,1),(130,1),(138,1)}
        91:{1,4,5,6}:{(57,1),(58,1),(65,1),(126,1),(131,1),(132,1),(211,1),(231,1),(314,1),(338,1),(488,1)}
        92:{3,5,6}:{(58,1),(66,1),(127,1),(307,1),(402,1),(430,1)}
        93:{2,3,6,7}:{(59,1),(63,1),(112,1),(124,1),(133,1),(134,1),(341,1),(414,1),(524,1),(525,1),(544,1)}
        94:{2,5,7}:{(59,1),(60,1),(64,1),(135,1),(344,1)}
        95:{1,4,7}:{(60,1),(61,1),(65,1),(135,1),(223,1)}
        96:{3,4,7}:{(61,1),(66,1),(127,1),(529,1)}
        97:{2,4,5,7}:{(62,1),(67,1),(114,1),(128,1),(137,1),(138,1),(144,1),(237,1),(242,1)}
        98:{2,4,6}:{(62,1),(63,1),(115,1),(129,1),(138,1)}
        99:{2,3,5,6}:{(63,1),(64,1),(69,1),(116,1),(130,1),(134,1),(138,1),(139,1),(140,1),(213,1),(232,1),(239,1),(320,1),(341,1),(414,1),(481,1),(482,1),(522,1),(525,1),(543,1),(546,1)}
       100:{2,4,6}:{(64,1),(65,1),(70,1),(135,1),(140,1)}
       101:{1,3,4,6}:{(65,1),(66,1),(71,1),(132,1),(136,1),(140,1),(141,1),(229,1),(241,1),(338,1),(430,1)}
       102:{2,3,6}:{(67,1),(118,1),(137,1),(341,1),(414,1)}
       103:{2,3,5}:{(68,1),(119,1),(138,1),(144,1),(239,1),(320,1)}
       104:{2,4}:{(69,1),(120,1),(145,1)}
       105:{3,5}:{(70,1),(140,1),(145,1)}
       106:{2,4,5}:{(71,1),(141,1),(146,1),(147,1),(217,1),(245,1),(320,1)}
       107:{2,4,7}:{(72,1),(76,1),(148,1),(151,1),(155,1)}
       108:{2,3,6}:{(72,1),(77,1),(151,1),(153,1),(247,1)}
       109:{2,5,7}:{(73,1),(79,1),(153,1),(154,1)}
       110:{2,4,6}:{(73,1),(74,1),(80,1),(153,1),(154,1),(155,1),(365,1),(451,1)}
       111:{2,3,5}:{(74,1),(81,1),(154,1),(155,1),(257,1)}
       112:{1,3,6,7}:{(75,1),(77,1),(93,1),(149,1),(156,1),(157,1),(367,1),(453,1),(509,1)}
       113:{1,2,5,7}:{(75,1),(78,1),(94,1),(157,1),(158,1),(255,1),(280,1),(368,1),(370,1),(386,1),(456,1),(507,1)}
       114:{1,4,5,7}:{(76,1),(79,1),(97,1),(150,1),(159,1),(160,1),(165,1),(263,1),(268,1)}
       115:{1,4,6}:{(76,1),(77,1),(98,1),(151,1),(160,1)}
       116:{1,3,5,6}:{(77,1),(78,1),(81,1),(99,1),(152,1),(157,1),(160,1),(161,1),(162,1),(259,1),(265,1),(267,1),(367,1),(373,1),(453,1),(457,1),(509,1),(539,1)}
       117:{1,2,4,6}:{(78,1),(82,1),(100,1),(158,1),(161,1),(162,1),(189,1),(256,1),(266,1),(295,1),(376,1),(388,1),(451,1),(502,1)}
       118:{1,3,6}:{(79,1),(102,1),(153,1),(159,1),(247,1),(453,1)}
       119:{1,3,5}:{(80,1),(103,1),(154,1),(160,1),(165,1),(248,1),(257,1),(373,1)}
       120:{1,4}:{(81,1),(104,1),(155,1)}
       121:{1,3,5}:{(82,1),(105,1),(162,1),(166,1),(167,1),(257,1),(377,1),(464,1),(503,1)}
       122:{1,5,6,7}:{(83,1),(86,1),(168,1),(169,1),(259,1),(459,1)}
       123:{2,4,6,7}:{(83,1),(84,1),(87,1),(169,1),(170,1),(275,1),(355,1)}
       124:{3,6,7}:{(85,1),(89,1),(172,1),(182,1)}
       125:{2,5,7}:{(85,1),(86,1),(90,1),(172,1)}
       126:{1,4,5,7}:{(86,1),(87,1),(91,1),(95,1),(169,1),(173,1),(174,1),(280,1),(385,1),(459,1)}
       127:{3,5,7}:{(87,1),(92,1),(96,1),(170,1),(463,1)}
       128:{3,4,5,7}:{(88,1),(97,1),(175,1),(176,1),(192,1),(277,1),(281,1),(288,1),(296,1)}
       129:{3,4,6}:{(88,1),(89,1),(98,1),(176,1),(177,1)}
       130:{3,5,6}:{(89,1),(90,1),(172,1),(176,1),(177,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(100,1),(173,1),(177,1),(178,1),(179,1),(186,1),(284,1),(287,1),(378,1),(458,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(101,1),(174,1),(178,1),(179,1),(265,1),(367,1)}
       133:{2,4,6,7}:{(93,1),(98,1),(156,1),(171,1),(180,1),(181,1),(287,1),(538,1)}
       134:{2,3,5,7}:{(93,1),(94,1),(99,1),(157,1),(172,1),(180,1),(181,1),(182,1),(262,1),(288,1),(368,1),(507,1),(537,1),(548,1)}
       135:{2,4,7}:{(94,1),(95,1),(100,1),(182,1)}
       136:{1,3,4,7}:{(95,1),(96,1),(101,1),(174,1),(182,1),(183,1),(278,1),(290,1),(385,1),(463,1)}
       137:{2,4,6}:{(97,1),(102,1),(159,1),(175,1),(185,1)}
       138:{2,5}:{(98,1),(160,1),(176,1)}
       139:{2,4,6}:{(99,1),(104,1),(161,1),(177,1),(181,1),(186,1),(187,1),(508,1),(549,1)}
       140:{3,6}:{(100,1),(105,1),(182,1)}
       141:{2,4,6}:{(101,1),(106,1),(179,1),(183,1),(188,1),(189,1),(295,1)}
       142:{2,3,6,7}:{(102,1),(163,1),(184,1),(190,1),(389,1),(452,1)}
       143:{2,3,5,6}:{(102,1),(103,1),(164,1),(185,1),(190,1),(191,1),(292,1),(363,1),(372,1)}
       144:{2,4,5}:{(103,1),(104,1),(165,1),(191,1),(192,1)}
       145:{3,4}:{(104,1),(105,1)}
       146:{2,3,5}:{(105,1),(106,1),(188,1),(193,1),(194,1),(464,1)}
       147:{1,4,5}:{(106,1),(189,1),(194,1),(271,1),(373,1)}
       148:{3,4,7}:{(107,1),(195,1),(196,1),(205,1),(398,1)}
       149:{2,3,6,7}:{(108,1),(112,1),(197,1),(198,1),(202,1),(299,1),(402,1),(414,1),(425,1),(490,1),(494,1)}
       150:{2,4,5,7}:{(107,1),(109,1),(114,1),(195,1),(199,1),(200,1),(204,1),(301,1),(305,1),(309,1),(398,1)}
       151:{2,4,6}:{(107,1),(108,1),(115,1),(196,1),(200,1)}
       152:{2,3,5,6}:{(108,1),(111,1),(116,1),(198,1),(200,1),(201,1),(203,1),(213,1),(300,1),(302,1),(307,1),(310,1),(320,1),(339,1),(402,1),(414,1),(430,1),(434,1),(494,1),(528,1),(531,1)}
       153:{2,6}:{(109,1),(118,1)}
       154:{2,5}:{(110,1),(119,1)}
       155:{2,4}:{(111,1),(120,1),(205,1)}
       156:{1,4,6,7}:{(112,1),(115,1),(133,1),(197,1),(206,1),(207,1),(314,1),(527,1)}
       157:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(198,1),(206,1),(207,1),(208,1),(317,1),(415,1)}
       158:{1,2,4,7}:{(113,1),(117,1),(135,1),(207,1),(208,1),(236,1),(309,1),(316,1),(344,1),(421,1),(428,1),(483,1),(521,1)}
       159:{1,4,6}:{(114,1),(118,1),(137,1),(199,1),(210,1)}
       160:{1,5}:{(115,1),(138,1),(200,1)}
       161:{1,4,6}:{(116,1),(120,1),(139,1),(201,1),(207,1),(211,1),(487,1)}
       162:{1,3,6}:{(117,1),(121,1),(140,1),(208,1),(213,1),(310,1),(430,1),(522,1)}
       163:{1,3,6,7}:{(118,1),(142,1),(202,1),(209,1),(214,1),(299,1),(484,1)}
       164:{1,3,5,6}:{(118,1),(119,1),(143,1),(203,1),(210,1),(214,1),(215,1),(300,1),(310,1),(410,1),(418,1)}
       165:{1,4,5}:{(119,1),(120,1),(144,1),(204,1),(215,1),(301,1)}
       166:{1,3,4}:{(120,1),(121,1),(145,1),(205,1),(217,1),(487,1),(493,1),(523,1)}
       167:{2,3,5}:{(121,1),(213,1),(217,1),(218,1),(245,1),(320,1),(348,1),(411,1),(412,1)}
       168:{2,5,6,7}:{(122,1),(125,1),(219,1),(220,1),(232,1),(423,1)}
       169:{1,4,6,7}:{(122,1),(123,1),(126,1),(220,1),(221,1),(314,1),(330,1)}
       170:{3,6,7}:{(123,1),(127,1),(402,1)}
       171:{3,4,6,7}:{(124,1),(129,1),(133,1),(222,1),(223,1),(234,1),(332,1),(341,1),(544,1),(545,1),(551,1)}
       172:{3,5,7}:{(124,1),(125,1),(130,1),(223,1)}
       173:{2,4,5,7}:{(125,1),(126,1),(131,1),(135,1),(220,1),(223,1),(224,1),(225,1),(327,1),(334,1),(423,1)}
       174:{1,3,5,7}:{(126,1),(127,1),(132,1),(136,1),(221,1),(224,1),(225,1)}
       175:{3,4,6}:{(128,1),(137,1),(227,1),(332,1),(341,1)}
       176:{3,5}:{(129,1),(138,1),(228,1)}
       177:{4,6}:{(130,1),(223,1),(228,1)}
       178:{3,5,6}:{(131,1),(140,1),(224,1),(229,1),(239,1),(341,1)}
       179:{2,5,6}:{(132,1),(141,1),(225,1),(231,1),(320,1),(414,1)}
       180:{2,5,7}:{(133,1),(138,1),(206,1),(222,1),(232,1),(546,1)}
       181:{2,4,7}:{(134,1),(139,1),(207,1),(223,1),(234,1),(551,1)}
       182:{3,7}:{(135,1),(140,1)}
       183:{2,4,7}:{(136,1),(141,1),(225,1),(235,1),(236,1),(344,1)}
       184:{2,4,6,7}:{(137,1),(142,1),(209,1),(226,1),(237,1),(242,1)}
       185:{2,5,6}:{(137,1),(138,1),(210,1),(227,1),(237,1)}
       186:{2,4,5}:{(138,1),(139,1),(211,1),(228,1),(239,1),(320,1),(546,1),(552,1)}
       187:{3,4,6}:{(139,1),(140,1),(145,1),(234,1),(239,1),(341,1),(522,1),(523,1)}
       188:{2,3,6}:{(140,1),(141,1),(146,1),(235,1),(241,1),(430,1)}
       189:{1,4,6}:{(141,1),(147,1),(231,1),(236,1),(241,1)}
       190:{2,3,5,7}:{(142,1),(143,1),(214,1),(237,1),(242,1),(345,1),(409,1),(417,1)}
       191:{2,4,6}:{(143,1),(144,1),(215,1),(242,1),(243,1)}
       192:{3,4,5}:{(144,1),(145,1),(239,1),(243,1),(552,1)}
       193:{2,3,4}:{(145,1),(146,1),(217,1),(244,1),(412,1),(493,1)}
       194:{1,3,5}:{(146,1),(147,1),(241,1),(244,1),(245,1)}
       195:{3,5,7}:{(148,1),(150,1),(247,1),(248,1),(257,1),(362,1)}
       196:{3,4,6}:{(148,1),(151,1),(247,1),(248,1),(352,1)}
       197:{2,4,6,7}:{(149,1),(151,1),(156,1),(246,1),(249,1),(250,1),(355,1),(515,1)}
       198:{2,3,5,7}:{(149,1),(152,1),(157,1),(249,1),(250,1),(255,1),(262,1),(351,1),(356,1),(362,1),(368,1),(386,1),(463,1),(512,1)}
       199:{2,4,6}:{(150,1),(153,1),(159,1),(247,1),(252,1),(352,1)}
       200:{2,5}:{(151,1),(160,1),(248,1)}
       201:{2,4,6}:{(152,1),(155,1),(161,1),(250,1),(253,1),(254,1),(352,1),(467,1),(540,1)}
       202:{2,6,7}:{(153,1),(163,1),(255,1)}
       203:{2,5,6}:{(153,1),(154,1),(164,1),(255,1),(256,1),(451,1)}
       204:{2,4,5}:{(154,1),(155,1),(165,1),(256,1),(257,1)}
       205:{3,4}:{(155,1),(257,1)}
       206:{1,5,7}:{(156,1),(160,1),(180,1),(249,1),(259,1),(539,1)}
       207:{1,4,7}:{(157,1),(161,1),(181,1),(250,1)}
       208:{1,3,7}:{(158,1),(162,1),(182,1),(262,1),(362,1),(463,1),(537,1)}
       209:{1,4,6,7}:{(159,1),(163,1),(184,1),(251,1),(263,1),(268,1)}
       210:{1,5,6}:{(159,1),(160,1),(185,1),(252,1),(263,1)}
       211:{1,4,5}:{(160,1),(161,1),(186,1),(253,1),(265,1),(373,1),(539,1)}
       212:{1,3,4,6}:{(161,1),(162,1),(166,1),(187,1),(254,1),(261,1),(265,1),(266,1),(367,1)}
       213:{2,3,6}:{(162,1),(167,1),(262,1),(266,1),(267,1),(295,1),(451,1)}
       214:{1,3,5,7}:{(163,1),(164,1),(190,1),(255,1),(263,1),(268,1),(351,1),(362,1),(450,1),(456,1)}
       215:{1,4,6}:{(164,1),(165,1),(191,1),(256,1),(268,1),(352,1)}
       216:{1,3,4,5}:{(165,1),(166,1),(192,1),(257,1),(265,1),(269,1),(270,1),(353,1),(364,1),(441,1),(503,1)}
       217:{2,4}:{(166,1),(167,1),(271,1)}
       218:{1,3,5}:{(167,1),(267,1),(271,1),(272,1),(373,1),(377,1)}
       219:{3,5,6,7}:{(168,1),(172,1),(273,1),(274,1),(276,1),(379,1)}
       220:{2,4,6,7}:{(168,1),(169,1),(173,1),(273,1),(274,1),(275,1),(287,1)}
       221:{1,3,6,7}:{(169,1),(170,1),(174,1),(274,1),(275,1),(367,1)}
       222:{3,5,7}:{(171,1),(176,1),(180,1),(276,1),(277,1),(550,1)}
       223:{4,7}:{(172,1),(177,1)}
       224:{3,5,7}:{(173,1),(178,1),(182,1),(274,1),(278,1)}
       225:{2,5,7}:{(174,1),(179,1),(183,1),(275,1),(280,1)}
       226:{3,4,6,7}:{(175,1),(184,1),(281,1),(296,1),(382,1),(389,1)}
       227:{3,5,6}:{(175,1),(176,1),(185,1),(281,1),(282,1)}
       228:{4,5}:{(176,1),(177,1)}
       229:{3,4,6}:{(177,1),(178,1),(278,1),(283,1),(284,1)}
       230:{2,3,5,6}:{(178,1),(179,1),(188,1),(279,1),(284,1),(285,1),(293,1),(390,1),(458,1)}
       231:{1,5,6}:{(179,1),(189,1),(280,1),(373,1),(453,1)}
       232:{2,5,6}:{(180,1),(259,1),(276,1),(287,1)}
       233:{2,4,5,7}:{(180,1),(181,1),(186,1),(260,1),(277,1),(287,1),(288,1),(368,1)}
       234:{3,4,7}:{(181,1),(182,1),(187,1),(288,1),(537,1)}
       235:{2,3,7}:{(182,1),(183,1),(188,1),(290,1),(463,1)}
       236:{1,4,7}:{(183,1),(189,1),(280,1),(290,1)}
       237:{2,5,7}:{(184,1),(185,1),(263,1),(281,1)}
       238:{2,4,5,6}:{(185,1),(186,1),(191,1),(264,1),(282,1),(287,1),(291,1),(292,1),(372,1),(502,1),(533,1),(549,1)}
       239:{3,5}:{(186,1),(187,1)}
       240:{2,3,4,6}:{(187,1),(188,1),(193,1),(266,1),(284,1),(289,1),(293,1),(294,1),(390,1),(449,1),(508,1),(538,1)}
       241:{1,3,6}:{(188,1),(189,1),(194,1),(290,1),(295,1)}
       242:{2,4,7}:{(190,1),(191,1),(268,1),(296,1)}
       243:{3,4,6}:{(191,1),(192,1),(292,1),(296,1),(549,1)}
       244:{1,3,4}:{(193,1),(194,1),(271,1),(297,1),(377,1)}
       245:{2,5}:{(194,1),(295,1),(297,1)}
       246:{3,4,6,7}:{(196,1),(197,1),(298,1),(299,1),(304,1),(396,1),(398,1),(402,1),(490,1),(529,1),(530,1)}
       247:{3,6}:{(195,1),(199,1)}
       248:{3,5}:{(196,1),(200,1),(301,1)}
       249:{2,5,7}:{(197,1),(200,1),(206,1),(298,1),(302,1),(531,1)}
       250:{2,4,7}:{(198,1),(201,1),(207,1),(304,1),(398,1),(529,1)}
       251:{2,4,6,7}:{(199,1),(202,1),(209,1),(299,1),(305,1),(309,1),(398,1)}
       252:{2,5,6}:{(199,1),(200,1),(210,1),(300,1),(305,1)}
       253:{2,4,5}:{(200,1),(201,1),(211,1),(301,1),(307,1),(320,1),(531,1),(547,1)}
       254:{3,4,6}:{(201,1),(205,1),(304,1),(307,1),(310,1),(402,1),(430,1),(493,1)}
       255:{2,5,7}:{(202,1),(203,1),(214,1),(309,1),(483,1)}
       256:{2,4,6}:{(203,1),(204,1),(215,1),(309,1),(310,1)}
       257:{3,5}:{(204,1),(205,1),(310,1)}
       258:{2,3,4}:{(205,1),(217,1),(311,1),(312,1),(348,1),(523,1)}
       259:{1,5,6}:{(206,1),(232,1),(302,1),(314,1)}
       260:{1,4,5,7}:{(206,1),(207,1),(211,1),(233,1),(303,1),(314,1),(315,1),(415,1)}
       261:{1,3,4,7}:{(207,1),(208,1),(212,1),(234,1),(304,1),(315,1),(316,1)}
       262:{2,3,7}:{(208,1),(213,1),(316,1),(317,1),(344,1),(483,1)}
       263:{1,5,7}:{(209,1),(210,1),(237,1),(305,1)}
       264:{1,4,5,6}:{(210,1),(211,1),(215,1),(238,1),(306,1),(314,1),(318,1),(319,1),(418,1),(474,1),(517,1)}
       265:{1,3,5}:{(211,1),(212,1),(239,1),(307,1),(320,1)}
       266:{2,4,6}:{(212,1),(213,1),(217,1),(316,1),(320,1),(321,1),(414,1)}
       267:{1,3,6}:{(213,1),(218,1),(317,1),(321,1),(322,1)}
       268:{1,4,7}:{(214,1),(215,1),(242,1),(309,1),(398,1)}
       269:{1,3,4,6}:{(215,1),(216,1),(243,1),(310,1),(319,1),(323,1),(324,1),(399,1),(410,1),(474,1),(522,1)}
       270:{2,4,5}:{(216,1),(217,1),(311,1),(320,1),(324,1),(325,1),(411,1)}
       271:{1,4}:{(217,1),(218,1)}
       272:{1,2,5}:{(218,1),(245,1),(322,1),(326,1),(411,1)}
       273:{4,6,7}:{(219,1),(223,1),(327,1),(332,1)}
       274:{3,6,7}:{(220,1),(224,1),(341,1)}
       275:{2,6,7}:{(221,1),(225,1),(330,1),(414,1)}
       276:{3,5,6}:{(222,1),(232,1),(332,1),(341,1)}
       277:{4,5,7}:{(222,1),(223,1),(228,1),(332,1),(551,1),(552,1)}
       278:{3,4,7}:{(223,1),(224,1),(229,1),(334,1)}
       279:{2,3,5,7}:{(224,1),(225,1),(230,1),(235,1),(329,1),(334,1),(335,1),(423,1)}
       280:{1,5,7}:{(225,1),(231,1),(236,1),(330,1)}
       281:{3,5,7}:{(226,1),(227,1),(237,1),(336,1)}
       282:{4,5,6}:{(227,1),(228,1),(332,1),(336,1)}
       283:{3,4,5}:{(228,1),(229,1),(239,1),(337,1),(523,1)}
       284:{2,4,6}:{(229,1),(230,1),(334,1),(337,1),(338,1)}
       285:{1,3,5,6}:{(230,1),(231,1),(241,1),(335,1),(338,1),(339,1),(346,1),(430,1),(431,1),(488,1),(528,1)}
       286:{2,5,6,7}:{(232,1),(237,1),(313,1),(331,1),(340,1),(542,1)}
       287:{2,4,6}:{(232,1),(233,1),(314,1),(332,1),(341,1),(414,1)}
       288:{3,5,7}:{(233,1),(234,1),(239,1),(341,1)}
       289:{2,3,4,7}:{(234,1),(235,1),(240,1),(316,1),(334,1),(342,1),(343,1),(479,1),(526,1)}
       290:{1,3,7}:{(235,1),(236,1),(241,1),(344,1)}
       291:{2,4,5,7}:{(237,1),(238,1),(242,1),(318,1),(336,1),(340,1),(345,1),(417,1),(521,1),(542,1),(551,1)}
       292:{3,5,6}:{(238,1),(239,1),(243,1),(341,1),(345,1),(522,1)}
       293:{2,3,5}:{(239,1),(240,1),(320,1),(337,1),(346,1),(546,1)}
       294:{1,3,4,6}:{(240,1),(241,1),(244,1),(321,1),(338,1),(343,1),(346,1),(347,1),(420,1),(430,1),(431,1),(487,1),(493,1),(527,1),(530,1)}
       295:{2,6}:{(241,1),(245,1),(344,1)}
       296:{3,4,7}:{(242,1),(243,1),(345,1),(551,1)}
       297:{2,4}:{(244,1),(245,1),(348,1)}
       298:{3,5,7}:{(246,1),(248,1),(249,1),(349,1),(350,1),(541,1)}
       299:{3,6,7}:{(247,1),(251,1),(351,1),(362,1)}
       300:{3,5,6}:{(247,1),(248,1),(252,1),(351,1),(352,1)}
       301:{4,5}:{(248,1),(352,1)}
       302:{2,5,6}:{(249,1),(259,1),(349,1),(355,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(260,1),(350,1),(355,1),(356,1),(368,1)}
       304:{3,4,7}:{(250,1),(254,1),(356,1),(362,1),(463,1)}
       305:{2,5,7}:{(251,1),(252,1),(263,1),(351,1)}
       306:{2,4,5,6}:{(252,1),(253,1),(256,1),(264,1),(352,1),(355,1),(358,1),(359,1),(372,1),(435,1),(440,1),(497,1)}
       307:{3,5}:{(253,1),(254,1)}
       308:{2,3,4,6}:{(254,1),(258,1),(266,1),(357,1),(360,1),(361,1),(363,1),(394,1),(440,1),(443,1),(467,1),(515,1)}
       309:{2,4,7}:{(255,1),(256,1),(268,1),(362,1)}
       310:{3,6}:{(256,1),(257,1),(362,1)}
       311:{2,3,5}:{(257,1),(258,1),(270,1),(363,1),(364,1),(503,1)}
       312:{1,3,4}:{(258,1),(271,1),(364,1),(365,1),(377,1)}
       313:{1,5,6,7}:{(259,1),(263,1),(286,1),(354,1),(366,1),(532,1)}
       314:{1,4,6}:{(259,1),(260,1),(287,1),(355,1),(367,1),(453,1)}
       315:{1,3,5,7}:{(260,1),(261,1),(265,1),(288,1),(356,1),(367,1),(368,1)}
       316:{2,4,7}:{(261,1),(262,1),(266,1),(368,1),(369,1)}
       317:{1,3,7}:{(262,1),(267,1),(369,1),(370,1)}
       318:{1,4,5,7}:{(263,1),(264,1),(268,1),(291,1),(358,1),(366,1),(371,1),(456,1),(501,1),(532,1)}
       319:{1,3,5,6}:{(264,1),(265,1),(269,1),(292,1),(359,1),(367,1),(371,1),(372,1)}
       320:{2,5}:{(265,1),(266,1),(373,1)}
       321:{1,4,6}:{(266,1),(267,1),(271,1),(369,1),(373,1),(453,1)}
       322:{1,2,6}:{(267,1),(272,1),(295,1),(370,1),(451,1)}
       323:{1,3,4,7}:{(268,1),(269,1),(296,1),(362,1),(371,1),(375,1),(439,1),(450,1),(501,1),(537,1)}
       324:{2,4,6}:{(269,1),(270,1),(363,1),(372,1),(375,1),(376,1),(451,1)}
       325:{1,4,5}:{(270,1),(271,1),(364,1),(373,1),(376,1)}
       326:{1,2,4}:{(271,1),(272,1),(297,1),(365,1),(377,1)}
       327:{4,5,7}:{(273,1),(378,1),(379,1)}
       328:{3,4,6,7}:{(273,1),(274,1),(278,1),(379,1),(380,1),(383,1)}
       329:{2,3,6,7}:{(274,1),(275,1),(279,1),(380,1),(381,1),(390,1)}
       330:{1,6,7}:{(275,1),(280,1),(453,1)}
       331:{3,5,6,7}:{(276,1),(281,1),(286,1),(382,1),(389,1),(548,1)}
       332:{4,6}:{(276,1),(277,1)}
       333:{3,4,5,7}:{(277,1),(278,1),(283,1),(288,1),(379,1),(383,1),(384,1),(536,1),(550,1)}
       334:{2,4,7}:{(278,1),(279,1),(284,1),(385,1)}
       335:{1,3,5,7}:{(279,1),(280,1),(285,1),(290,1),(381,1),(385,1),(386,1),(459,1),(463,1),(512,1)}
       336:{4,5,7}:{(281,1),(282,1),(382,1)}
       337:{2,4,5}:{(283,1),(284,1),(293,1),(387,1),(508,1)}
       338:{1,4,6}:{(284,1),(285,1),(385,1),(387,1),(388,1),(540,1)}
       339:{2,5,6}:{(285,1),(295,1),(386,1),(388,1),(393,1),(465,1)}
       340:{2,4,6,7}:{(286,1),(287,1),(291,1),(366,1),(382,1),(389,1),(452,1)}
       341:{3,6}:{(287,1),(288,1)}
       342:{2,3,5,7}:{(288,1),(289,1),(293,1),(368,1),(384,1),(390,1),(391,1)}
       343:{1,3,4,7}:{(289,1),(290,1),(294,1),(369,1),(385,1),(391,1),(392,1),(455,1),(463,1),(510,1),(514,1)}
       344:{2,7}:{(290,1),(295,1)}
       345:{3,5,7}:{(291,1),(292,1),(296,1),(389,1),(537,1)}
       346:{1,3,5}:{(293,1),(294,1),(373,1),(387,1),(393,1),(464,1),(539,1),(541,1)}
       347:{2,4,6}:{(294,1),(295,1),(297,1),(392,1),(393,1),(394,1),(465,1),(467,1)}
       348:{2,3}:{(297,1),(377,1)}
       349:{3,5,6}:{(298,1),(302,1),(396,1),(402,1)}
       350:{4,5,7}:{(298,1),(301,1),(396,1),(398,1),(529,1),(547,1)}
       351:{3,5,7}:{(299,1),(300,1),(305,1),(398,1)}
       352:{4,6}:{(300,1),(301,1),(398,1)}
       353:{3,4,5}:{(301,1),(307,1),(399,1),(400,1),(493,1)}
       354:{2,5,6,7}:{(302,1),(305,1),(313,1),(395,1),(401,1),(516,1)}
       355:{2,4,6}:{(302,1),(303,1),(314,1),(396,1),(402,1),(414,1)}
       356:{3,5,7}:{(303,1),(304,1),(307,1),(402,1)}
       357:{2,3,4,7}:{(304,1),(308,1),(316,1),(403,1),(404,1),(409,1),(433,1),(473,1),(495,1)}
       358:{2,4,5,7}:{(305,1),(306,1),(309,1),(318,1),(398,1),(401,1),(405,1),(417,1),(468,1),(473,1),(516,1)}
       359:{3,5,6}:{(306,1),(307,1),(310,1),(399,1),(402,1),(405,1)}
       360:{2,3,5}:{(307,1),(308,1),(320,1),(400,1),(407,1),(531,1)}
       361:{1,3,4,6}:{(308,1),(312,1),(321,1),(404,1),(407,1),(408,1),(410,1),(420,1),(474,1),(477,1),(487,1),(522,1),(523,1),(527,1),(545,1)}
       362:{3,7}:{(309,1),(310,1)}
       363:{2,3,6}:{(310,1),(311,1),(324,1),(409,1),(410,1),(522,1)}
       364:{1,3,5}:{(311,1),(312,1),(325,1),(410,1),(411,1)}
       365:{2,4}:{(312,1),(411,1),(412,1)}
       366:{1,4,6,7}:{(313,1),(314,1),(318,1),(340,1),(401,1),(413,1),(484,1)}
       367:{1,3,6}:{(314,1),(315,1),(341,1),(402,1),(414,1)}
       368:{2,5,7}:{(315,1),(316,1),(320,1),(414,1),(415,1)}
       369:{1,4,7}:{(316,1),(317,1),(321,1),(415,1)}
       370:{1,2,7}:{(317,1),(322,1),(344,1),(483,1)}
       371:{1,3,5,7}:{(318,1),(319,1),(323,1),(345,1),(405,1),(413,1),(417,1)}
       372:{2,5,6}:{(319,1),(320,1),(324,1),(414,1),(417,1),(418,1)}
       373:{1,5}:{(320,1),(321,1)}
       374:{1,2,4,6}:{(321,1),(322,1),(326,1),(347,1),(408,1),(416,1),(419,1),(420,1),(485,1),(487,1),(527,1)}
       375:{2,4,7}:{(323,1),(324,1),(409,1),(417,1),(421,1),(483,1)}
       376:{1,4,6}:{(324,1),(325,1),(410,1),(418,1),(421,1)}
       377:{1,3}:{(326,1),(348,1),(412,1)}
       378:{4,5,6}:{(327,1),(332,1),(422,1),(552,1)}
       379:{3,5,7}:{(327,1),(328,1),(422,1),(423,1)}
       380:{2,4,6,7}:{(328,1),(329,1),(334,1),(423,1),(424,1),(426,1)}
       381:{1,3,6,7}:{(329,1),(330,1),(335,1),(424,1),(425,1),(431,1),(490,1)}
       382:{4,6,7}:{(331,1),(332,1),(336,1),(551,1)}
       383:{3,4,6}:{(332,1),(333,1),(341,1),(422,1),(426,1)}
       384:{2,4,5,7}:{(333,1),(334,1),(337,1),(342,1),(423,1),(426,1),(427,1),(526,1),(546,1)}
       385:{1,4,7}:{(334,1),(335,1),(338,1),(428,1),(529,1)}
       386:{2,5,7}:{(335,1),(339,1),(344,1),(425,1),(428,1)}
       387:{1,4,5}:{(337,1),(338,1),(346,1),(429,1),(487,1),(547,1)}
       388:{2,4,6}:{(338,1),(339,1),(428,1),(429,1),(430,1)}
       389:{3,6,7}:{(340,1),(341,1),(345,1)}
       390:{2,3,6}:{(341,1),(342,1),(414,1),(426,1),(431,1)}
       391:{1,3,5,7}:{(342,1),(343,1),(346,1),(415,1),(427,1),(431,1),(432,1),(492,1)}
       392:{2,4,7}:{(343,1),(344,1),(347,1),(432,1),(433,1)}
       393:{2,5}:{(346,1),(347,1)}
       394:{2,3,6}:{(347,1),(348,1),(420,1),(430,1),(433,1),(434,1)}
       395:{3,5,6,7}:{(349,1),(351,1),(354,1),(436,1),(442,1),(496,1)}
       396:{4,6}:{(349,1),(350,1)}
       397:{3,4,5,7}:{(350,1),(353,1),(356,1),(437,1),(438,1),(439,1),(496,1),(514,1),(541,1)}
       398:{4,7}:{(351,1),(352,1)}
       399:{3,4,6}:{(352,1),(353,1),(359,1),(439,1),(440,1)}
       400:{2,4,5}:{(353,1),(360,1),(440,1),(441,1),(467,1)}
       401:{2,4,6,7}:{(354,1),(355,1),(358,1),(366,1),(436,1),(442,1),(452,1)}
       402:{3,6}:{(355,1),(356,1)}
       403:{2,3,5,7}:{(356,1),(357,1),(360,1),(368,1),(438,1),(443,1),(444,1)}
       404:{1,3,4,7}:{(357,1),(361,1),(369,1),(444,1),(445,1),(450,1),(455,1),(501,1),(510,1),(536,1),(537,1)}
       405:{3,5,7}:{(358,1),(359,1),(362,1),(439,1),(442,1)}
       406:{2,3,5,6}:{(359,1),(360,1),(363,1),(372,1),(440,1),(443,1),(446,1),(447,1),(497,1)}
       407:{1,3,5}:{(360,1),(361,1),(373,1),(441,1),(448,1),(503,1),(539,1),(550,1)}
       408:{2,4,6}:{(361,1),(365,1),(445,1),(448,1),(449,1),(451,1),(505,1),(508,1)}
       409:{2,3,7}:{(362,1),(363,1),(375,1),(450,1),(537,1)}
       410:{1,3,6}:{(363,1),(364,1),(376,1),(450,1),(451,1)}
       411:{2,5}:{(364,1),(365,1),(451,1)}
       412:{2,3}:{(365,1),(377,1)}
       413:{1,3,6,7}:{(366,1),(367,1),(371,1),(389,1),(442,1),(452,1)}
       414:{2,6}:{(367,1),(368,1),(453,1)}
       415:{1,5,7}:{(368,1),(369,1),(373,1),(453,1)}
       416:{1,2,4,7}:{(369,1),(370,1),(374,1),(392,1),(445,1),(454,1),(455,1),(510,1)}
       417:{2,5,7}:{(371,1),(372,1),(375,1),(452,1),(456,1)}
       418:{1,5,6}:{(372,1),(373,1),(376,1),(453,1),(456,1)}
       419:{1,2,5}:{(373,1),(374,1),(393,1),(448,1),(457,1),(539,1)}
       420:{1,3,6}:{(374,1),(377,1),(394,1),(449,1),(455,1),(457,1)}
       421:{1,4,7}:{(375,1),(376,1),(450,1),(456,1)}
       422:{3,5,6}:{(378,1),(379,1),(383,1),(458,1),(550,1)}
       423:{2,5,7}:{(379,1),(380,1),(458,1),(459,1)}
       424:{1,4,6,7}:{(380,1),(381,1),(385,1),(459,1),(460,1),(461,1)}
       425:{2,6,7}:{(381,1),(386,1),(465,1)}
       426:{2,4,6}:{(383,1),(384,1),(390,1),(458,1),(461,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(387,1),(391,1),(459,1),(461,1),(462,1),(510,1),(539,1)}
       428:{2,4,7}:{(385,1),(386,1),(388,1),(463,1)}
       429:{2,4,5}:{(387,1),(388,1),(393,1),(464,1),(467,1)}
       430:{3,6}:{(388,1),(463,1),(464,1)}
       431:{1,3,6}:{(390,1),(391,1),(453,1),(461,1),(465,1),(513,1)}
       432:{2,5,7}:{(391,1),(392,1),(393,1),(465,1)}
       433:{2,3,7}:{(392,1),(394,1),(455,1),(463,1)}
       434:{2,3,5}:{(393,1),(394,1),(457,1),(464,1),(467,1)}
       435:{4,5,6}:{(396,1),(468,1),(469,1),(547,1)}
       436:{4,6,7}:{(395,1),(396,1),(398,1),(468,1)}
       437:{3,4,6}:{(396,1),(397,1),(402,1),(469,1),(471,1)}
       438:{2,4,5,7}:{(397,1),(400,1),(403,1),(471,1),(472,1),(473,1),(495,1),(516,1),(531,1)}
       439:{3,4,7}:{(398,1),(399,1),(405,1),(473,1)}
       440:{2,4,6}:{(399,1),(400,1),(406,1),(473,1),(474,1)}
       441:{1,4,5}:{(400,1),(407,1),(474,1),(475,1),(487,1),(552,1)}
       442:{3,6,7}:{(401,1),(402,1),(405,1)}
       443:{2,3,6}:{(402,1),(403,1),(414,1),(471,1),(477,1)}
       444:{1,3,5,7}:{(403,1),(404,1),(407,1),(415,1),(472,1),(477,1),(478,1),(520,1)}
       445:{2,4,7}:{(404,1),(408,1),(478,1),(479,1),(483,1)}
       446:{2,3,5,7}:{(405,1),(406,1),(409,1),(417,1),(473,1),(476,1),(480,1),(516,1)}
       447:{1,3,5,6}:{(406,1),(407,1),(410,1),(418,1),(474,1),(477,1),(480,1),(481,1),(517,1),(522,1),(543,1)}
       448:{2,5}:{(407,1),(408,1)}
       449:{2,3,6}:{(408,1),(412,1),(420,1),(479,1),(482,1),(522,1)}
       450:{1,3,7}:{(409,1),(410,1),(421,1),(483,1)}
       451:{2,6}:{(410,1),(411,1),(483,1)}
       452:{2,6,7}:{(413,1),(414,1),(417,1),(484,1)}
       453:{1,6}:{(414,1),(415,1)}
       454:{1,2,5,7}:{(415,1),(416,1),(419,1),(432,1),(478,1),(485,1),(486,1)}
       455:{1,3,7}:{(416,1),(420,1),(433,1),(479,1)}
       456:{1,5,7}:{(417,1),(418,1),(421,1),(484,1)}
       457:{1,3,5}:{(419,1),(420,1),(434,1),(482,1),(487,1)}
       458:{2,5,6}:{(422,1),(423,1),(426,1),(488,1),(546,1)}
       459:{1,5,7}:{(423,1),(424,1),(488,1),(489,1)}
       460:{2,4,6,7}:{(424,1),(425,1),(428,1),(489,1),(490,1),(491,1),(529,1)}
       461:{1,4,6}:{(426,1),(427,1),(431,1),(488,1),(491,1)}
       462:{2,4,5,7}:{(427,1),(428,1),(429,1),(432,1),(489,1),(491,1),(492,1),(495,1),(529,1),(531,1),(547,1)}
       463:{3,7}:{(428,1),(430,1)}
       464:{3,5}:{(429,1),(430,1),(493,1)}
       465:{2,6}:{(431,1),(432,1)}
       466:{2,3,5,7}:{(432,1),(433,1),(434,1),(486,1),(492,1),(494,1),(495,1),(531,1)}
       467:{2,4}:{(434,1),(487,1),(493,1)}
       468:{4,5,7}:{(435,1),(436,1),(496,1)}
       469:{3,5,6}:{(435,1),(437,1),(496,1),(497,1),(541,1)}
       470:{3,4,6,7}:{(436,1),(437,1),(439,1),(442,1),(496,1),(498,1)}
       471:{2,4,6}:{(437,1),(438,1),(443,1),(497,1),(499,1)}
       472:{1,4,5,7}:{(438,1),(441,1),(444,1),(499,1),(500,1),(501,1),(510,1),(532,1),(539,1)}
       473:{2,4,7}:{(439,1),(440,1),(446,1),(501,1)}
       474:{1,4,6}:{(440,1),(441,1),(447,1),(501,1),(502,1),(549,1)}
       475:{2,4,5}:{(441,1),(448,1),(502,1),(503,1),(508,1)}
       476:{2,3,6,7}:{(442,1),(443,1),(446,1),(452,1),(498,1),(504,1)}
       477:{1,3,6}:{(443,1),(444,1),(453,1),(499,1),(505,1),(535,1)}
       478:{2,5,7}:{(444,1),(445,1),(448,1),(505,1)}
       479:{2,3,7}:{(445,1),(449,1),(455,1),(537,1)}
       480:{1,3,5,7}:{(446,1),(447,1),(450,1),(456,1),(501,1),(504,1),(507,1),(532,1),(537,1),(548,1)}
       481:{2,5,6}:{(447,1),(448,1),(451,1),(502,1),(505,1),(507,1)}
       482:{2,3,5}:{(448,1),(449,1),(457,1),(503,1),(508,1)}
       483:{2,7}:{(450,1),(451,1)}
       484:{1,6,7}:{(452,1),(453,1),(456,1)}
       485:{1,2,6}:{(453,1),(454,1),(465,1),(505,1),(509,1)}
       486:{1,3,5,7}:{(454,1),(455,1),(457,1),(466,1),(506,1),(509,1),(510,1),(539,1)}
       487:{1,4}:{(457,1),(467,1),(508,1)}
       488:{1,5,6}:{(458,1),(459,1),(461,1),(511,1),(539,1)}
       489:{2,5,7}:{(459,1),(460,1),(511,1),(512,1)}
       490:{3,6,7}:{(460,1),(463,1),(512,1),(513,1)}
       491:{2,4,6}:{(461,1),(462,1),(465,1),(511,1),(513,1),(540,1)}
       492:{3,5,7}:{(462,1),(463,1),(464,1),(513,1),(514,1),(541,1)}
       493:{3,4}:{(464,1),(467,1)}
       494:{2,3,6}:{(465,1),(466,1),(509,1),(513,1),(515,1)}
       495:{2,4,7}:{(466,1),(467,1),(510,1),(514,1),(515,1)}
       496:{3,5,7}:{(468,1),(469,1),(470,1),(516,1)}
       497:{2,5,6}:{(469,1),(471,1),(516,1),(517,1),(531,1)}
       498:{2,4,6,7}:{(470,1),(471,1),(473,1),(476,1),(516,1),(518,1)}
       499:{1,4,6}:{(471,1),(472,1),(477,1),(517,1),(519,1)}
       500:{2,4,5,7}:{(472,1),(475,1),(478,1),(519,1),(520,1),(521,1),(526,1),(542,1),(546,1),(551,1),(552,1)}
       501:{1,4,7}:{(473,1),(474,1),(480,1),(521,1),(551,1)}
       502:{2,4,6}:{(474,1),(475,1),(481,1),(521,1),(522,1)}
       503:{3,5}:{(475,1),(522,1),(523,1)}
       504:{1,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(518,1),(524,1),(544,1)}
       505:{2,6}:{(477,1),(478,1)}
       506:{2,3,5,7}:{(478,1),(479,1),(482,1),(486,1),(520,1),(525,1),(526,1),(546,1)}
       507:{2,5,7}:{(480,1),(481,1),(483,1),(521,1),(524,1)}
       508:{2,4}:{(482,1),(487,1),(523,1)}
       509:{1,3,6}:{(485,1),(486,1),(494,1),(525,1),(527,1)}
       510:{1,4,7}:{(486,1),(487,1),(495,1),(526,1),(527,1)}
       511:{2,5,6}:{(488,1),(489,1),(491,1),(528,1),(531,1)}
       512:{3,5,7}:{(489,1),(490,1),(528,1),(529,1)}
       513:{3,6}:{(491,1),(492,1)}
       514:{3,4,7}:{(492,1),(493,1),(495,1),(529,1),(530,1)}
       515:{2,4,6}:{(494,1),(495,1),(527,1),(530,1),(531,1)}
       516:{2,5,7}:{(496,1),(497,1),(498,1),(532,1)}
       517:{1,5,6}:{(497,1),(499,1),(532,1),(533,1),(539,1)}
       518:{1,4,6,7}:{(498,1),(499,1),(501,1),(504,1),(532,1),(534,1)}
       519:{2,4,6}:{(499,1),(500,1),(505,1),(533,1),(535,1),(549,1)}
       520:{3,5,7}:{(500,1),(503,1),(535,1),(536,1),(537,1),(550,1)}
       521:{2,4,7}:{(501,1),(502,1),(507,1),(537,1)}
       522:{3,6}:{(502,1),(503,1),(537,1)}
       523:{3,4}:{(503,1),(508,1)}
       524:{2,6,7}:{(504,1),(505,1),(507,1)}
       525:{2,3,6}:{(505,1),(506,1),(509,1),(535,1),(538,1)}
       526:{2,4,7}:{(506,1),(508,1),(510,1),(536,1),(538,1)}
       527:{1,4,6}:{(509,1),(510,1),(515,1),(538,1),(539,1)}
       528:{3,5,6}:{(511,1),(512,1),(513,1),(540,1),(541,1)}
       529:{4,7}:{(512,1),(540,1)}
       530:{3,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(539,1),(541,1)}
       532:{1,5,7}:{(516,1),(517,1),(518,1),(542,1)}
       533:{2,5,6}:{(517,1),(519,1),(542,1),(543,1),(546,1)}
       534:{2,4,6,7}:{(518,1),(519,1),(521,1),(524,1),(542,1),(544,1),(551,1)}
       535:{3,6}:{(519,1),(520,1)}
       536:{3,4,7}:{(520,1),(523,1),(526,1),(545,1),(551,1)}
       537:{3,7}:{(521,1),(522,1)}
       538:{2,4,6}:{(525,1),(526,1),(527,1),(545,1),(546,1)}
       539:{1,5}:{(527,1),(531,1),(546,1)}
       540:{4,6}:{(528,1),(529,1),(547,1)}
       541:{3,5}:{(530,1),(531,1),(547,1)}
       542:{2,5,7}:{(532,1),(533,1),(534,1),(548,1)}
       543:{3,5,6}:{(533,1),(535,1),(548,1),(549,1),(550,1)}
       544:{3,6,7}:{(534,1),(535,1),(537,1),(548,1)}
       545:{3,4,6}:{(535,1),(536,1),(538,1),(549,1),(550,1)}
       546:{2,5}:{(538,1),(539,1),(550,1)}
       547:{4,5}:{(540,1),(541,1)}
       548:{3,5,7}:{(542,1),(543,1),(544,1),(551,1)}
       549:{4,6}:{(543,1),(551,1),(552,1)}
       550:{3,5}:{(545,1),(546,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 721 :   0:{2,3,4}:{(2,1),(3,1),(33,1),(64,1)}
         1:{3,4,5}:{(5,1),(6,1),(80,1),(116,1)}
         2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(8,1),(9,1),(22,1),(51,1),(58,1)}
         4:{4,5,6}:{(12,1),(13,1),(129,1),(147,1)}
         5:{3,4,6}:{(1,1),(13,1),(14,1),(15,1)}
         6:{2,4,5}:{(1,1),(2,1),(15,1),(16,1),(64,1),(101,1)}
         7:{2,3,6}:{(2,1),(15,1),(17,1),(18,1)}
         8:{1,3,5}:{(2,1),(3,1),(16,1),(18,1),(19,1),(42,1)}
         9:{2,4}:{(3,1),(19,1),(20,1)}
        10:{1,2,4}:{(9,1),(21,1),(22,1),(48,1),(51,1)}
        11:{5,6,7}:{(23,1),(151,1)}
        12:{4,5,7}:{(4,1),(23,1),(24,1)}
        13:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(116,1),(142,1)}
        14:{3,4,7}:{(5,1),(24,1),(26,1)}
        15:{2,4,6}:{(5,1),(6,1),(7,1),(25,1),(26,1),(27,1)}
        16:{1,4,5}:{(6,1),(8,1),(27,1),(28,1),(51,1),(86,1)}
        17:{2,3,7}:{(7,1),(26,1),(29,1)}
        18:{1,3,6}:{(7,1),(8,1),(27,1),(29,1),(30,1),(57,1)}
        19:{2,5}:{(8,1),(9,1),(30,1)}
        20:{2,3}:{(9,1),(22,1)}
        21:{1,2,5}:{(10,1),(19,1),(34,1),(35,1),(65,1)}
        22:{1,3}:{(10,1),(20,1),(33,1)}
        23:{4,6,7}:{(11,1),(12,1),(37,1),(147,1)}
        24:{3,5,7}:{(12,1),(13,1),(14,1),(37,1),(38,1)}
        25:{2,5,6}:{(13,1),(15,1),(38,1),(39,1),(101,1),(133,1)}
        26:{2,4,7}:{(14,1),(15,1),(17,1),(38,1),(40,1)}
        27:{1,4,6}:{(15,1),(16,1),(18,1),(39,1),(40,1),(41,1)}
        28:{2,4,5}:{(16,1),(19,1),(41,1),(42,1),(45,1),(77,1),(109,1)}
        29:{1,3,7}:{(17,1),(18,1),(40,1),(43,1),(73,1)}
        30:{2,6}:{(18,1),(19,1),(43,1)}
        31:{2,3,5}:{(19,1),(20,1),(35,1),(42,1),(44,1),(45,1),(77,1)}
        32:{2,3,4}:{(20,1),(36,1),(45,1),(46,1)}
        33:{2,3}:{(22,1),(48,1)}
        34:{1,2,6}:{(21,1),(30,1),(49,1),(50,1),(84,1)}
        35:{1,3,5}:{(21,1),(22,1),(31,1),(47,1),(50,1),(51,1),(86,1)}
        36:{1,3,4}:{(22,1),(32,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,6,7}:{(23,1),(24,1),(53,1),(142,1)}
        38:{2,5,7}:{(24,1),(25,1),(26,1),(53,1),(54,1)}
        39:{1,5,6}:{(25,1),(27,1),(54,1),(55,1),(86,1),(121,1)}
        40:{1,4,7}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{2,4,6}:{(27,1),(28,1),(30,1),(55,1),(56,1),(57,1),(91,1)}
        42:{3,5}:{(28,1),(57,1),(58,1)}
        43:{2,7}:{(29,1),(30,1)}
        44:{2,3,6}:{(30,1),(31,1),(50,1),(57,1),(59,1),(60,1)}
        45:{2,4}:{(31,1),(51,1),(58,1)}
        46:{2,3,5}:{(32,1),(52,1),(61,1),(62,1)}
        47:{2,3,5}:{(33,1),(35,1),(63,1),(64,1),(65,1),(99,1),(101,1)}
        48:{2,4}:{(33,1),(36,1),(65,1)}
        49:{1,2,7}:{(34,1),(43,1),(66,1),(103,1)}
        50:{1,3,6}:{(34,1),(35,1),(44,1),(63,1),(66,1),(67,1)}
        51:{1,4}:{(35,1),(45,1),(64,1)}
        52:{1,3,5}:{(36,1),(46,1),(65,1),(68,1),(69,1),(99,1)}
        53:{2,6,7}:{(37,1),(38,1),(70,1),(133,1)}
        54:{1,5,7}:{(38,1),(39,1),(40,1),(70,1),(71,1)}
        55:{2,5,6}:{(39,1),(41,1),(71,1),(72,1),(77,1),(113,1)}
        56:{2,4,7}:{(40,1),(41,1),(43,1),(71,1),(73,1),(108,1)}
        57:{3,6}:{(41,1),(42,1),(73,1)}
        58:{3,4}:{(42,1),(45,1)}
        59:{2,3,7}:{(43,1),(44,1),(66,1),(73,1),(76,1)}
        60:{2,4,6}:{(44,1),(45,1),(67,1),(74,1),(76,1),(77,1),(113,1)}
        61:{2,4,5}:{(45,1),(46,1),(68,1),(75,1),(77,1),(78,1)}
        62:{2,3,6}:{(46,1),(69,1),(78,1),(79,1)}
        63:{2,3,6}:{(47,1),(50,1),(81,1),(82,1),(84,1),(117,1)}
        64:{2,4}:{(47,1),(51,1),(80,1)}
        65:{2,5}:{(48,1),(52,1),(84,1)}
        66:{1,3,7}:{(49,1),(50,1),(59,1),(81,1),(85,1)}
        67:{1,4,6}:{(50,1),(51,1),(60,1),(82,1),(85,1),(86,1),(121,1)}
        68:{1,4,5}:{(51,1),(52,1),(61,1),(83,1),(86,1),(87,1)}
        69:{1,3,6}:{(52,1),(62,1),(84,1),(87,1),(88,1),(117,1)}
        70:{1,6,7}:{(53,1),(54,1),(89,1),(121,1)}
        71:{2,5,7}:{(54,1),(55,1),(56,1),(89,1),(90,1)}
        72:{3,5,6}:{(55,1),(57,1),(90,1),(91,1),(93,1),(126,1),(145,1)}
        73:{3,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(57,1),(58,1),(60,1),(91,1),(92,1),(93,1),(126,1)}
        75:{3,4,5}:{(58,1),(61,1),(93,1),(94,1)}
        76:{2,4,7}:{(59,1),(60,1),(85,1),(92,1),(95,1)}
        77:{2,5}:{(60,1),(86,1),(93,1)}
        78:{2,4,6}:{(61,1),(62,1),(87,1),(94,1),(96,1),(97,1)}
        79:{2,3,7}:{(62,1),(88,1),(97,1)}
        80:{3,4}:{(64,1),(99,1)}
        81:{2,3,7}:{(63,1),(66,1),(100,1),(103,1),(132,1)}
        82:{2,4,6}:{(63,1),(64,1),(67,1),(98,1),(100,1),(101,1),(133,1)}
        83:{2,4,5}:{(64,1),(65,1),(68,1),(99,1),(101,1),(102,1),(129,1)}
        84:{2,6}:{(65,1),(69,1),(103,1)}
        85:{1,4,7}:{(66,1),(67,1),(76,1),(100,1),(104,1)}
        86:{1,5}:{(67,1),(77,1),(101,1)}
        87:{1,4,6}:{(68,1),(69,1),(78,1),(102,1),(105,1),(106,1)}
        88:{1,3,7}:{(69,1),(79,1),(103,1),(106,1),(132,1)}
        89:{2,6,7}:{(70,1),(71,1),(107,1),(113,1)}
        90:{3,5,7}:{(71,1),(72,1),(73,1),(107,1),(108,1),(136,1)}
        91:{4,6}:{(72,1),(108,1),(109,1)}
        92:{3,4,7}:{(73,1),(74,1),(76,1),(108,1),(110,1)}
        93:{3,5}:{(74,1),(77,1),(109,1)}
        94:{3,4,6}:{(75,1),(78,1),(111,1),(112,1)}
        95:{2,5,7}:{(76,1),(77,1),(104,1),(110,1),(113,1)}
        96:{2,5,6}:{(77,1),(78,1),(105,1),(111,1),(113,1),(114,1)}
        97:{2,4,7}:{(78,1),(79,1),(106,1),(112,1),(114,1)}
        98:{3,4,6}:{(80,1),(82,1),(115,1),(116,1),(117,1),(141,1),(142,1)}
        99:{3,5}:{(80,1),(83,1),(117,1)}
       100:{2,4,7}:{(81,1),(82,1),(85,1),(115,1),(118,1)}
       101:{2,5}:{(82,1),(86,1),(116,1)}
       102:{2,4,6}:{(83,1),(84,1),(87,1),(117,1),(119,1),(120,1),(141,1)}
       103:{2,7}:{(84,1),(88,1)}
       104:{1,5,7}:{(85,1),(86,1),(95,1),(118,1),(121,1)}
       105:{1,5,6}:{(86,1),(87,1),(96,1),(119,1),(121,1),(122,1)}
       106:{1,4,7}:{(87,1),(88,1),(97,1),(120,1),(122,1)}
       107:{3,6,7}:{(89,1),(90,1),(123,1),(126,1)}
       108:{4,7}:{(90,1),(91,1)}
       109:{4,5}:{(91,1),(93,1)}
       110:{3,5,7}:{(92,1),(93,1),(95,1),(124,1),(126,1)}
       111:{3,5,6}:{(93,1),(94,1),(96,1),(125,1),(126,1),(127,1)}
       112:{3,4,7}:{(94,1),(97,1),(127,1)}
       113:{2,6}:{(95,1),(121,1),(126,1)}
       114:{2,5,7}:{(96,1),(97,1),(122,1),(127,1),(128,1)}
       115:{3,4,7}:{(98,1),(100,1),(130,1),(132,1),(148,1)}
       116:{3,5}:{(98,1),(101,1),(129,1)}
       117:{3,6}:{(99,1),(102,1),(132,1)}
       118:{2,5,7}:{(100,1),(101,1),(104,1),(130,1),(133,1)}
       119:{2,5,6}:{(101,1),(102,1),(105,1),(131,1),(133,1),(134,1)}
       120:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(134,1),(148,1)}
       121:{1,6}:{(104,1),(113,1),(133,1)}
       122:{1,5,7}:{(105,1),(106,1),(114,1),(134,1),(135,1)}
       123:{4,6,7}:{(107,1),(108,1),(136,1),(137,1)}
       124:{4,5,7}:{(108,1),(109,1),(110,1),(136,1),(137,1)}
       125:{4,5,6}:{(109,1),(111,1),(137,1),(138,1)}
       126:{3,6}:{(110,1),(113,1),(137,1)}
       127:{3,5,7}:{(111,1),(112,1),(114,1),(138,1),(139,1)}
       128:{2,6,7}:{(113,1),(114,1),(135,1),(139,1)}
       129:{4,5}:{(116,1),(141,1)}
       130:{3,5,7}:{(115,1),(116,1),(118,1),(140,1),(142,1)}
       131:{3,5,6}:{(116,1),(117,1),(119,1),(141,1),(142,1),(143,1),(151,1)}
       132:{3,7}:{(117,1),(120,1)}
       133:{2,6}:{(118,1),(121,1),(142,1)}
       134:{2,5,7}:{(119,1),(120,1),(122,1),(143,1),(144,1)}
       135:{1,6,7}:{(121,1),(122,1),(128,1),(144,1)}
       136:{5,7}:{(123,1),(145,1)}
       137:{4,6}:{(124,1),(126,1),(145,1)}
       138:{4,5,7}:{(125,1),(127,1),(146,1)}
       139:{3,6,7}:{(126,1),(127,1),(128,1),(146,1)}
       140:{4,5,7}:{(129,1),(130,1),(147,1),(148,1),(153,1)}
       141:{4,6}:{(129,1),(131,1),(148,1)}
       142:{3,6}:{(130,1),(133,1),(147,1)}
       143:{3,5,7}:{(131,1),(132,1),(134,1),(148,1),(149,1),(153,1)}
       144:{2,6,7}:{(133,1),(134,1),(135,1),(149,1)}
       145:{5,6}:{(136,1),(137,1)}
       146:{4,6,7}:{(137,1),(138,1),(139,1),(150,1)}
       147:{4,6}:{(140,1),(142,1),(151,1)}
       148:{4,7}:{(141,1),(143,1)}
       149:{3,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       150:{5,6,7}:{(145,1),(146,1)}
       151:{5,6}:{(147,1),(153,1)}
       152:{4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 722 :   0:{3,4,5,7}:{(1,1),(2,1),(14,1),(62,1),(101,1),(173,1),(274,1),(370,1),(376,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(6,1),(7,1),(28,1),(38,1),(67,1),(130,1),(226,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(412,1),(418,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(67,1),(84,1),(130,1),(239,1),(328,1),(336,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(376,1),(384,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1),(47,1),(101,1),(109,1)}
         6:{1,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(49,1),(61,1),(95,1),(100,1),(182,1)}
         7:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1)}
         8:{3,5,6}:{(2,1),(14,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(51,1),(56,1),(95,1),(100,1),(187,1),(294,1),(385,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(176,1),(193,1),(210,1),(219,1),(280,1),(288,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(9,1),(23,1),(24,1),(30,1),(37,1),(427,1)}
        12:{2,3,6}:{(4,1),(7,1),(24,1),(418,1),(426,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(22,1),(27,1),(28,1),(67,1)}
        14:{3,5,7}:{(5,1),(8,1),(28,1),(29,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(30,1),(31,1),(68,1),(76,1),(91,1),(140,1),(143,1),(151,1),(156,1)}
        16:{1,4,6}:{(6,1),(7,1),(24,1),(31,1),(32,1)}
        17:{2,5,6}:{(7,1),(8,1),(28,1),(32,1),(226,1)}
        18:{4,5,6}:{(8,1),(29,1),(325,1),(412,1)}
        19:{2,4,7}:{(9,1),(23,1),(35,1),(36,1),(347,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(24,1),(36,1),(37,1),(71,1),(80,1),(86,1),(135,1),(145,1),(165,1),(170,1),(245,1),(270,1),(341,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(226,1),(331,1),(340,1)}
        22:{2,3,6,7}:{(12,1),(13,1),(40,1),(41,1),(109,1),(197,1)}
        23:{2,5,7}:{(11,1),(19,1),(43,1),(60,1)}
        24:{1,3,6}:{(11,1),(12,1),(16,1),(43,1),(52,1),(464,1)}
        25:{2,3,5,6}:{(12,1),(17,1),(21,1),(41,1),(44,1),(45,1),(55,1),(118,1),(193,1)}
        26:{3,5,6,7}:{(14,1),(46,1),(47,1),(109,1),(369,1),(473,1)}
        27:{1,4,6,7}:{(13,1),(16,1),(40,1),(48,1),(49,1),(100,1)}
        28:{2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        29:{4,5,7}:{(14,1),(18,1),(47,1)}
        30:{3,5,7}:{(15,1),(51,1),(52,1),(115,1),(128,1),(187,1)}
        31:{2,4,6}:{(15,1),(16,1),(43,1),(52,1),(53,1),(116,1)}
        32:{1,5,6}:{(16,1),(17,1),(49,1),(53,1),(182,1)}
        33:{2,4,5,6}:{(17,1),(18,1),(45,1),(50,1),(54,1),(55,1),(118,1),(279,1),(310,1),(375,1),(472,1),(519,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(95,1),(119,1),(385,1),(386,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(187,1)}
        36:{2,4,6}:{(19,1),(20,1),(43,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(115,1),(128,1),(182,1),(389,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(23,1),(34,1),(63,1),(64,1),(87,1),(160,1),(427,1)}
        40:{1,3,6,7}:{(22,1),(24,1),(27,1),(65,1),(66,1),(75,1),(249,1)}
        41:{2,3,5,7}:{(22,1),(25,1),(28,1),(66,1),(67,1),(78,1),(153,1),(239,1)}
        42:{2,3,5,7}:{(23,1),(30,1),(35,1),(63,1),(68,1),(69,1),(90,1),(143,1)}
        43:{2,6}:{(23,1),(24,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(32,1),(37,1),(66,1),(70,1),(71,1),(81,1),(145,1),(159,1),(245,1)}
        45:{2,4,6}:{(25,1),(38,1),(67,1),(71,1),(72,1)}
        46:{2,5,6,7}:{(26,1),(28,1),(73,1),(74,1),(326,1),(438,1)}
        47:{4,6,7}:{(26,1),(29,1),(412,1),(500,1)}
        48:{2,4,6,7}:{(27,1),(31,1),(65,1),(75,1),(76,1),(140,1),(151,1)}
        49:{1,5,7}:{(27,1),(28,1),(32,1),(76,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(33,1),(67,1),(74,1),(77,1),(78,1),(153,1),(357,1),(438,1),(500,1)}
        51:{3,4,7}:{(30,1),(68,1),(80,1),(151,1),(170,1)}
        52:{3,6}:{(30,1),(31,1)}
        53:{2,5,6}:{(31,1),(32,1),(76,1),(81,1),(143,1)}
        54:{1,4,5,6}:{(32,1),(33,1),(71,1),(77,1),(82,1),(83,1),(159,1),(233,1),(257,1),(334,1),(437,1)}
        55:{3,5,6}:{(33,1),(72,1),(78,1),(331,1),(359,1),(418,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(135,1),(161,1),(165,1),(341,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(68,1),(85,1),(88,1),(89,1),(238,1),(268,1),(336,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(145,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(71,1),(91,1),(156,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(331,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(42,1),(56,1),(93,1),(95,1),(96,1),(123,1),(182,1)}
        64:{1,2,6}:{(39,1),(43,1),(96,1),(208,1),(464,1)}
        65:{2,6,7}:{(40,1),(43,1),(99,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(44,1),(49,1),(99,1),(100,1),(111,1),(187,1),(202,1),(294,1)}
        67:{2,4,7}:{(41,1),(45,1),(100,1),(101,1)}
        68:{2,4,7}:{(42,1),(51,1),(95,1),(103,1),(127,1)}
        69:{2,3,6}:{(42,1),(43,1),(52,1),(96,1),(103,1)}
        70:{2,5,6}:{(43,1),(44,1),(60,1),(99,1),(105,1),(299,1)}
        71:{1,4,6}:{(44,1),(45,1),(61,1),(100,1),(105,1),(116,1)}
        72:{3,4,6}:{(45,1),(55,1),(62,1),(101,1),(519,1)}
        73:{1,5,6,7}:{(46,1),(49,1),(107,1),(108,1),(281,1),(398,1)}
        74:{2,4,6,7}:{(46,1),(47,1),(50,1),(108,1),(109,1),(197,1),(375,1)}
        75:{3,6,7}:{(48,1),(52,1),(111,1),(187,1)}
        76:{2,5,7}:{(48,1),(49,1),(53,1),(111,1)}
        77:{1,4,5,7}:{(49,1),(50,1),(54,1),(100,1),(108,1),(112,1),(113,1),(202,1),(307,1),(398,1)}
        78:{3,5,7}:{(50,1),(55,1),(101,1),(109,1),(402,1)}
        79:{3,4,5,7}:{(51,1),(102,1),(114,1),(115,1),(199,1),(203,1),(218,1),(292,1),(320,1)}
        80:{3,4,6}:{(51,1),(52,1),(103,1),(115,1),(116,1)}
        81:{3,5,6}:{(52,1),(53,1),(111,1),(115,1),(116,1)}
        82:{2,4,5,6}:{(53,1),(54,1),(105,1),(112,1),(116,1),(117,1),(118,1),(191,1),(206,1),(291,1),(300,1),(397,1)}
        83:{1,3,5,6}:{(54,1),(55,1),(106,1),(113,1),(117,1),(118,1),(287,1),(383,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(95,1),(119,1),(121,1),(122,1),(173,1),(315,1),(385,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(182,1),(209,1),(389,1)}
        88:{2,3,5,7}:{(58,1),(102,1),(121,1),(125,1),(126,1),(292,1),(384,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(103,1),(122,1),(125,1),(126,1),(127,1),(192,1),(217,1),(288,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(105,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(106,1),(128,1),(129,1),(205,1),(214,1),(220,1),(287,1),(309,1),(403,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(226,1)}
        94:{1,2,6,7}:{(64,1),(65,1),(132,1),(133,1),(249,1),(259,1),(354,1),(426,1),(493,1),(494,1),(529,1)}
        95:{1,4,7}:{(63,1),(68,1),(130,1),(135,1),(165,1)}
        96:{1,3,6}:{(63,1),(64,1),(69,1),(131,1),(135,1)}
        97:{1,2,5,6}:{(64,1),(70,1),(87,1),(133,1),(136,1),(137,1),(159,1),(258,1),(260,1),(340,1),(342,1),(426,1),(430,1),(431,1),(491,1),(494,1)}
        98:{2,3,6,7}:{(65,1),(69,1),(75,1),(132,1),(138,1),(139,1),(344,1),(426,1),(529,1),(530,1),(545,1)}
        99:{2,5,7}:{(65,1),(66,1),(70,1),(140,1),(347,1)}
       100:{1,4,7}:{(66,1),(67,1),(71,1),(140,1),(151,1)}
       101:{3,4,7}:{(67,1),(72,1),(78,1),(500,1)}
       102:{2,4,5,7}:{(68,1),(79,1),(88,1),(134,1),(142,1),(143,1),(169,1),(241,1),(268,1)}
       103:{2,4,6}:{(68,1),(69,1),(80,1),(135,1),(143,1)}
       104:{2,3,5,6}:{(69,1),(70,1),(81,1),(90,1),(136,1),(139,1),(143,1),(144,1),(145,1),(235,1),(236,1),(243,1),(340,1),(344,1),(426,1),(491,1),(492,1),(527,1),(530,1),(544,1),(547,1)}
       105:{2,4,6}:{(70,1),(71,1),(91,1),(140,1),(145,1)}
       106:{1,3,4,6}:{(71,1),(72,1),(83,1),(92,1),(141,1),(145,1),(146,1),(157,1),(245,1),(257,1),(359,1)}
       107:{2,5,6,7}:{(73,1),(76,1),(147,1),(148,1),(236,1),(352,1)}
       108:{1,4,6,7}:{(73,1),(74,1),(77,1),(148,1),(149,1),(249,1),(334,1)}
       109:{3,6,7}:{(74,1),(78,1),(418,1)}
       110:{3,4,6,7}:{(75,1),(80,1),(138,1),(150,1),(151,1),(238,1),(251,1),(344,1),(545,1),(546,1),(551,1)}
       111:{3,5,7}:{(75,1),(76,1),(81,1),(151,1)}
       112:{2,4,5,7}:{(76,1),(77,1),(82,1),(140,1),(148,1),(151,1),(152,1),(153,1),(246,1),(253,1),(352,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(83,1),(141,1),(149,1),(152,1),(153,1)}
       114:{3,4,6}:{(79,1),(142,1),(155,1),(251,1),(344,1)}
       115:{3,5}:{(80,1),(143,1),(156,1)}
       116:{4,6}:{(81,1),(151,1),(156,1)}
       117:{3,5,6}:{(82,1),(145,1),(152,1),(157,1),(243,1),(344,1)}
       118:{2,5,6}:{(83,1),(146,1),(153,1),(159,1),(340,1),(426,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(134,1),(160,1),(163,1),(164,1),(221,1),(427,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(135,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(341,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(233,1),(261,1),(266,1),(271,1),(340,1),(358,1),(366,1),(367,1),(431,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(142,1),(163,1),(344,1),(426,1)}
       126:{2,3,5}:{(89,1),(143,1),(164,1),(169,1),(243,1),(340,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(145,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(340,1)}
       130:{2,4,7}:{(93,1),(95,1),(173,1),(176,1),(210,1)}
       131:{2,3,6}:{(93,1),(96,1),(176,1),(208,1),(273,1)}
       132:{1,3,6,7}:{(94,1),(96,1),(98,1),(174,1),(178,1),(179,1),(383,1),(464,1),(516,1)}
       133:{1,2,5,7}:{(94,1),(97,1),(99,1),(179,1),(180,1),(202,1),(308,1),(311,1),(384,1),(386,1),(467,1),(514,1)}
       134:{1,4,5,7}:{(95,1),(102,1),(121,1),(175,1),(181,1),(182,1),(213,1),(285,1),(315,1)}
       135:{1,4,6}:{(95,1),(96,1),(103,1),(176,1),(182,1)}
       136:{1,3,5,6}:{(96,1),(97,1),(104,1),(123,1),(177,1),(179,1),(182,1),(183,1),(184,1),(281,1),(287,1),(289,1),(383,1),(389,1),(464,1),(468,1),(516,1),(542,1)}
       137:{1,2,4,6}:{(97,1),(105,1),(124,1),(180,1),(183,1),(184,1),(194,1),(288,1),(299,1),(310,1),(312,1),(409,1),(477,1),(509,1)}
       138:{2,4,6,7}:{(98,1),(103,1),(110,1),(178,1),(185,1),(186,1),(291,1),(541,1)}
       139:{2,3,5,7}:{(98,1),(99,1),(104,1),(111,1),(179,1),(185,1),(186,1),(187,1),(284,1),(292,1),(384,1),(514,1),(540,1),(548,1)}
       140:{2,4,7}:{(99,1),(100,1),(105,1),(187,1)}
       141:{1,3,4,7}:{(100,1),(101,1),(106,1),(113,1),(187,1),(188,1),(200,1),(294,1),(307,1),(402,1)}
       142:{2,4,6}:{(102,1),(114,1),(125,1),(181,1),(190,1)}
       143:{2,5}:{(103,1),(115,1),(182,1)}
       144:{2,4,6}:{(104,1),(116,1),(127,1),(183,1),(186,1),(191,1),(192,1),(515,1),(549,1)}
       145:{3,6}:{(105,1),(128,1),(187,1)}
       146:{2,4,6}:{(106,1),(118,1),(129,1),(188,1),(193,1),(194,1),(299,1)}
       147:{3,5,6,7}:{(107,1),(111,1),(195,1),(196,1),(198,1),(301,1)}
       148:{2,4,6,7}:{(107,1),(108,1),(112,1),(195,1),(196,1),(197,1),(291,1)}
       149:{1,3,6,7}:{(108,1),(109,1),(113,1),(196,1),(197,1),(383,1)}
       150:{3,5,7}:{(110,1),(115,1),(185,1),(198,1),(199,1),(550,1)}
       151:{4,7}:{(111,1),(116,1)}
       152:{3,5,7}:{(112,1),(117,1),(187,1),(196,1),(200,1)}
       153:{2,5,7}:{(113,1),(118,1),(188,1),(197,1),(202,1)}
       154:{3,4,6,7}:{(114,1),(189,1),(203,1),(304,1),(320,1),(391,1)}
       155:{3,5,6}:{(114,1),(115,1),(190,1),(203,1),(204,1)}
       156:{4,5}:{(115,1),(116,1)}
       157:{3,4,6}:{(116,1),(117,1),(200,1),(205,1),(206,1)}
       158:{2,3,5,6}:{(117,1),(118,1),(193,1),(201,1),(206,1),(207,1),(297,1),(392,1),(397,1)}
       159:{1,5,6}:{(118,1),(194,1),(202,1),(389,1),(464,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(181,1),(208,1),(273,1),(464,1)}
       164:{1,3,5}:{(122,1),(126,1),(182,1),(209,1),(213,1),(274,1),(313,1),(389,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(403,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(189,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(190,1),(212,1),(216,1),(217,1),(296,1),(388,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(193,1),(219,1),(220,1),(403,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(389,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(414,1)}
       174:{2,3,6,7}:{(131,1),(132,1),(223,1),(224,1),(259,1),(323,1),(354,1),(418,1),(426,1),(439,1),(497,1)}
       175:{2,4,5,7}:{(130,1),(134,1),(160,1),(221,1),(225,1),(226,1),(261,1),(325,1),(329,1),(360,1),(414,1)}
       176:{2,4,6}:{(130,1),(131,1),(135,1),(222,1),(226,1)}
       177:{2,3,5,6}:{(131,1),(136,1),(162,1),(224,1),(226,1),(227,1),(235,1),(258,1),(260,1),(324,1),(326,1),(331,1),(340,1),(359,1),(361,1),(418,1),(426,1),(436,1),(497,1),(499,1),(533,1)}
       178:{1,4,6,7}:{(132,1),(135,1),(138,1),(223,1),(228,1),(229,1),(334,1),(532,1)}
       179:{1,3,5,7}:{(132,1),(133,1),(136,1),(139,1),(224,1),(228,1),(229,1),(230,1),(337,1),(427,1)}
       180:{1,2,4,7}:{(133,1),(137,1),(140,1),(229,1),(230,1),(240,1),(336,1),(347,1),(357,1),(360,1),(447,1),(502,1),(526,1)}
       181:{1,4,6}:{(134,1),(142,1),(163,1),(225,1),(232,1)}
       182:{1,5}:{(135,1),(143,1),(226,1)}
       183:{1,4,6}:{(136,1),(144,1),(165,1),(227,1),(229,1),(233,1),(496,1)}
       184:{1,3,6}:{(137,1),(145,1),(166,1),(230,1),(235,1),(359,1),(361,1),(527,1)}
       185:{2,5,7}:{(138,1),(143,1),(150,1),(228,1),(236,1),(547,1)}
       186:{2,4,7}:{(139,1),(144,1),(151,1),(229,1),(238,1),(551,1)}
       187:{3,7}:{(140,1),(145,1)}
       188:{2,4,7}:{(141,1),(146,1),(153,1),(239,1),(240,1),(347,1)}
       189:{2,4,6,7}:{(142,1),(154,1),(167,1),(231,1),(241,1),(268,1)}
       190:{2,5,6}:{(142,1),(143,1),(155,1),(232,1),(241,1)}
       191:{2,4,5}:{(143,1),(144,1),(156,1),(233,1),(243,1),(340,1),(547,1),(552,1)}
       192:{3,4,6}:{(144,1),(145,1),(170,1),(238,1),(243,1),(344,1),(527,1),(528,1)}
       193:{2,3,6}:{(145,1),(146,1),(171,1),(239,1),(245,1),(359,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(240,1),(245,1)}
       195:{4,6,7}:{(147,1),(151,1),(246,1),(251,1)}
       196:{3,6,7}:{(148,1),(152,1),(344,1)}
       197:{2,6,7}:{(149,1),(153,1),(249,1),(426,1)}
       198:{3,5,6}:{(150,1),(236,1),(251,1),(344,1)}
       199:{4,5,7}:{(150,1),(151,1),(156,1),(251,1),(551,1),(552,1)}
       200:{3,4,7}:{(151,1),(152,1),(157,1),(253,1)}
       201:{2,3,5,7}:{(152,1),(153,1),(158,1),(239,1),(248,1),(253,1),(254,1),(352,1)}
       202:{1,5,7}:{(153,1),(159,1),(240,1),(249,1)}
       203:{3,5,7}:{(154,1),(155,1),(241,1),(255,1)}
       204:{4,5,6}:{(155,1),(156,1),(251,1),(255,1)}
       205:{3,4,5}:{(156,1),(157,1),(243,1),(256,1),(528,1)}
       206:{2,4,6}:{(157,1),(158,1),(253,1),(256,1),(257,1)}
       207:{1,3,5,6}:{(158,1),(159,1),(245,1),(254,1),(257,1),(258,1),(349,1),(359,1),(433,1),(437,1),(499,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(231,1),(259,1),(263,1),(323,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(232,1),(260,1),(263,1),(264,1),(324,1),(361,1),(430,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(442,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(340,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(241,1),(263,1),(268,1),(348,1),(429,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(243,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(442,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(245,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(175,1),(273,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(176,1),(273,1),(274,1),(372,1)}
       223:{2,4,6,7}:{(174,1),(176,1),(178,1),(272,1),(275,1),(276,1),(375,1),(518,1)}
       224:{2,3,5,7}:{(174,1),(177,1),(179,1),(275,1),(276,1),(284,1),(308,1),(311,1),(371,1),(376,1),(384,1),(402,1),(404,1),(473,1)}
       225:{2,4,6}:{(175,1),(181,1),(208,1),(273,1),(278,1),(372,1)}
       226:{2,5}:{(176,1),(182,1),(274,1)}
       227:{2,4,6}:{(177,1),(183,1),(210,1),(276,1),(279,1),(280,1),(372,1),(471,1),(519,1)}
       228:{1,5,7}:{(178,1),(182,1),(185,1),(275,1),(281,1),(542,1)}
       229:{1,4,7}:{(179,1),(183,1),(186,1),(276,1)}
       230:{1,3,7}:{(180,1),(184,1),(187,1),(284,1),(402,1),(404,1),(540,1)}
       231:{1,4,6,7}:{(181,1),(189,1),(211,1),(277,1),(285,1),(315,1)}
       232:{1,5,6}:{(181,1),(182,1),(190,1),(278,1),(285,1)}
       233:{1,4,5}:{(182,1),(183,1),(191,1),(279,1),(287,1),(389,1),(542,1)}
       234:{1,3,4,6}:{(183,1),(184,1),(192,1),(214,1),(280,1),(283,1),(287,1),(288,1),(383,1)}
       235:{2,3,6}:{(184,1),(215,1),(284,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,6}:{(185,1),(198,1),(281,1),(291,1)}
       237:{2,4,5,7}:{(185,1),(186,1),(191,1),(199,1),(282,1),(291,1),(292,1),(384,1)}
       238:{3,4,7}:{(186,1),(187,1),(192,1),(292,1),(540,1)}
       239:{2,3,7}:{(187,1),(188,1),(193,1),(294,1),(402,1)}
       240:{1,4,7}:{(188,1),(194,1),(202,1),(294,1)}
       241:{2,5,7}:{(189,1),(190,1),(203,1),(285,1)}
       242:{2,4,5,6}:{(190,1),(191,1),(204,1),(217,1),(286,1),(291,1),(295,1),(296,1),(388,1),(509,1),(536,1),(549,1)}
       243:{3,5}:{(191,1),(192,1)}
       244:{2,3,4,6}:{(192,1),(193,1),(206,1),(219,1),(288,1),(293,1),(297,1),(298,1),(392,1),(462,1),(515,1),(541,1)}
       245:{1,3,6}:{(193,1),(194,1),(220,1),(294,1),(299,1)}
       246:{4,5,7}:{(195,1),(300,1),(301,1)}
       247:{3,4,6,7}:{(195,1),(196,1),(200,1),(301,1),(302,1),(305,1)}
       248:{2,3,6,7}:{(196,1),(197,1),(201,1),(302,1),(303,1),(392,1)}
       249:{1,6,7}:{(197,1),(202,1),(464,1)}
       250:{3,5,6,7}:{(198,1),(203,1),(290,1),(304,1),(391,1),(548,1)}
       251:{4,6}:{(198,1),(199,1)}
       252:{3,4,5,7}:{(199,1),(200,1),(205,1),(292,1),(301,1),(305,1),(306,1),(539,1),(550,1)}
       253:{2,4,7}:{(200,1),(201,1),(206,1),(307,1)}
       254:{1,3,5,7}:{(201,1),(202,1),(207,1),(294,1),(303,1),(307,1),(308,1),(398,1),(402,1),(473,1)}
       255:{4,5,7}:{(203,1),(204,1),(304,1)}
       256:{2,4,5}:{(205,1),(206,1),(297,1),(309,1),(515,1)}
       257:{1,4,6}:{(206,1),(207,1),(307,1),(309,1),(310,1),(519,1)}
       258:{2,5,6}:{(207,1),(299,1),(308,1),(310,1),(395,1),(469,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(285,1),(311,1),(315,1),(371,1),(404,1),(467,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(372,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(287,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(389,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(296,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,4,6,7}:{(222,1),(223,1),(322,1),(323,1),(328,1),(412,1),(414,1),(418,1),(439,1),(500,1),(501,1)}
       273:{3,6}:{(221,1),(225,1)}
       274:{3,5}:{(222,1),(226,1),(325,1)}
       275:{2,5,7}:{(223,1),(226,1),(228,1),(322,1),(326,1),(533,1)}
       276:{2,4,7}:{(224,1),(227,1),(229,1),(328,1),(414,1),(500,1)}
       277:{2,4,6,7}:{(225,1),(231,1),(259,1),(323,1),(329,1),(360,1),(414,1)}
       278:{2,5,6}:{(225,1),(226,1),(232,1),(324,1),(329,1)}
       279:{2,4,5}:{(226,1),(227,1),(233,1),(325,1),(331,1),(340,1),(533,1),(534,1)}
       280:{3,4,6}:{(227,1),(262,1),(328,1),(331,1),(359,1),(361,1),(418,1),(442,1)}
       281:{1,5,6}:{(228,1),(236,1),(326,1),(334,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(233,1),(237,1),(327,1),(334,1),(335,1),(427,1)}
       283:{1,3,4,7}:{(229,1),(230,1),(234,1),(238,1),(328,1),(335,1),(336,1)}
       284:{2,3,7}:{(230,1),(235,1),(336,1),(337,1),(347,1),(502,1)}
       285:{1,5,7}:{(231,1),(232,1),(241,1),(329,1)}
       286:{1,4,5,6}:{(232,1),(233,1),(242,1),(264,1),(330,1),(334,1),(338,1),(339,1),(430,1),(484,1),(522,1)}
       287:{1,3,5}:{(233,1),(234,1),(243,1),(331,1),(340,1)}
       288:{2,4,6}:{(234,1),(235,1),(266,1),(336,1),(340,1),(341,1),(426,1)}
       289:{1,3,6}:{(235,1),(267,1),(337,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(241,1),(250,1),(333,1),(343,1),(543,1)}
       291:{2,4,6}:{(236,1),(237,1),(251,1),(334,1),(344,1),(426,1)}
       292:{3,5,7}:{(237,1),(238,1),(243,1),(344,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(244,1),(253,1),(336,1),(345,1),(346,1),(489,1),(531,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,4,5,7}:{(241,1),(242,1),(255,1),(268,1),(338,1),(343,1),(348,1),(429,1),(526,1),(543,1),(551,1)}
       296:{3,5,6}:{(242,1),(243,1),(269,1),(344,1),(348,1),(527,1)}
       297:{2,3,5}:{(243,1),(244,1),(256,1),(340,1),(349,1),(547,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(257,1),(270,1),(341,1),(346,1),(349,1),(350,1),(359,1),(432,1),(433,1),(442,1),(496,1),(501,1),(532,1)}
       299:{2,6}:{(245,1),(271,1),(347,1)}
       300:{4,5,6}:{(246,1),(251,1),(351,1),(552,1)}
       301:{3,5,7}:{(246,1),(247,1),(351,1),(352,1)}
       302:{2,4,6,7}:{(247,1),(248,1),(253,1),(352,1),(353,1),(355,1)}
       303:{1,3,6,7}:{(248,1),(249,1),(254,1),(353,1),(354,1),(433,1),(439,1)}
       304:{4,6,7}:{(250,1),(251,1),(255,1),(551,1)}
       305:{3,4,6}:{(251,1),(252,1),(344,1),(351,1),(355,1)}
       306:{2,4,5,7}:{(252,1),(253,1),(256,1),(345,1),(352,1),(355,1),(356,1),(531,1),(547,1)}
       307:{1,4,7}:{(253,1),(254,1),(257,1),(357,1),(500,1)}
       308:{2,5,7}:{(254,1),(258,1),(347,1),(354,1),(357,1)}
       309:{1,4,5}:{(256,1),(257,1),(349,1),(358,1),(496,1),(534,1)}
       310:{2,4,6}:{(257,1),(258,1),(357,1),(358,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(414,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(339,1),(361,1),(364,1),(365,1),(415,1),(444,1),(484,1),(527,1)}
       317:{2,4,5}:{(265,1),(266,1),(340,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(348,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,5,7}:{(272,1),(274,1),(275,1),(369,1),(370,1),(520,1)}
       323:{3,6,7}:{(273,1),(277,1),(371,1),(404,1)}
       324:{3,5,6}:{(273,1),(274,1),(278,1),(371,1),(372,1)}
       325:{4,5}:{(274,1),(372,1)}
       326:{2,5,6}:{(275,1),(281,1),(369,1),(375,1)}
       327:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(370,1),(375,1),(376,1),(384,1)}
       328:{3,4,7}:{(276,1),(280,1),(376,1),(402,1),(404,1)}
       329:{2,5,7}:{(277,1),(278,1),(285,1),(371,1)}
       330:{2,4,5,6}:{(278,1),(279,1),(286,1),(312,1),(372,1),(375,1),(378,1),(379,1),(388,1),(448,1),(453,1),(504,1)}
       331:{3,5}:{(279,1),(280,1)}
       332:{2,3,4,6}:{(280,1),(288,1),(314,1),(377,1),(380,1),(381,1),(396,1),(405,1),(453,1),(456,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(285,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,6}:{(281,1),(282,1),(291,1),(375,1),(383,1),(464,1)}
       335:{1,3,5,7}:{(282,1),(283,1),(287,1),(292,1),(376,1),(383,1),(384,1)}
       336:{2,4,7}:{(283,1),(284,1),(288,1),(384,1),(385,1)}
       337:{1,3,7}:{(284,1),(289,1),(385,1),(386,1)}
       338:{1,4,5,7}:{(285,1),(286,1),(295,1),(315,1),(378,1),(382,1),(387,1),(467,1),(508,1),(535,1)}
       339:{1,3,5,6}:{(286,1),(287,1),(296,1),(316,1),(379,1),(383,1),(387,1),(388,1)}
       340:{2,5}:{(287,1),(288,1),(389,1)}
       341:{1,4,6}:{(288,1),(289,1),(318,1),(385,1),(389,1),(464,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(386,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(295,1),(304,1),(382,1),(391,1),(463,1)}
       344:{3,6}:{(291,1),(292,1)}
       345:{2,3,5,7}:{(292,1),(293,1),(297,1),(306,1),(384,1),(392,1),(393,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(307,1),(385,1),(393,1),(394,1),(402,1),(466,1),(475,1),(517,1)}
       347:{2,7}:{(294,1),(299,1)}
       348:{3,5,7}:{(295,1),(296,1),(320,1),(391,1),(540,1)}
       349:{1,3,5}:{(297,1),(298,1),(309,1),(389,1),(395,1),(403,1),(520,1),(542,1)}
       350:{2,4,6}:{(298,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       351:{3,5,6}:{(300,1),(301,1),(305,1),(397,1),(550,1)}
       352:{2,5,7}:{(301,1),(302,1),(397,1),(398,1)}
       353:{1,4,6,7}:{(302,1),(303,1),(307,1),(398,1),(399,1),(400,1)}
       354:{2,6,7}:{(303,1),(308,1),(469,1)}
       355:{2,4,6}:{(305,1),(306,1),(392,1),(397,1),(400,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(309,1),(393,1),(398,1),(400,1),(401,1),(517,1),(542,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(402,1)}
       358:{2,4,5}:{(309,1),(310,1),(395,1),(403,1),(471,1)}
       359:{3,6}:{(310,1),(402,1),(403,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(387,1),(404,1),(408,1),(452,1),(476,1),(508,1),(540,1)}
       365:{2,4,6}:{(316,1),(317,1),(388,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(389,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,6}:{(322,1),(326,1),(412,1),(418,1)}
       370:{4,5,7}:{(322,1),(325,1),(412,1),(414,1),(500,1),(534,1)}
       371:{3,5,7}:{(323,1),(324,1),(329,1),(414,1)}
       372:{4,6}:{(324,1),(325,1),(414,1)}
       373:{3,4,5}:{(325,1),(331,1),(415,1),(416,1),(442,1)}
       374:{2,5,6,7}:{(326,1),(329,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,6}:{(326,1),(327,1),(334,1),(412,1),(418,1),(426,1)}
       376:{3,5,7}:{(327,1),(328,1),(331,1),(418,1)}
       377:{2,3,4,7}:{(328,1),(332,1),(336,1),(419,1),(420,1),(435,1),(443,1),(483,1),(498,1)}
       378:{2,4,5,7}:{(329,1),(330,1),(338,1),(360,1),(414,1),(417,1),(421,1),(429,1),(478,1),(483,1),(521,1)}
       379:{3,5,6}:{(330,1),(331,1),(361,1),(415,1),(418,1),(421,1)}
       380:{2,3,5}:{(331,1),(332,1),(340,1),(416,1),(423,1),(533,1)}
       381:{1,3,4,6}:{(332,1),(341,1),(363,1),(420,1),(423,1),(424,1),(432,1),(444,1),(484,1),(487,1),(496,1),(527,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(338,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,6}:{(334,1),(335,1),(344,1),(418,1),(426,1)}
       384:{2,5,7}:{(335,1),(336,1),(340,1),(426,1),(427,1)}
       385:{1,4,7}:{(336,1),(337,1),(341,1),(427,1)}
       386:{1,2,7}:{(337,1),(342,1),(347,1),(502,1)}
       387:{1,3,5,7}:{(338,1),(339,1),(348,1),(364,1),(421,1),(425,1),(429,1)}
       388:{2,5,6}:{(339,1),(340,1),(365,1),(426,1),(429,1),(430,1)}
       389:{1,5}:{(340,1),(341,1)}
       390:{1,2,4,6}:{(341,1),(342,1),(350,1),(367,1),(424,1),(428,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       391:{3,6,7}:{(343,1),(344,1),(348,1)}
       392:{2,3,6}:{(344,1),(345,1),(355,1),(426,1),(433,1)}
       393:{1,3,5,7}:{(345,1),(346,1),(349,1),(356,1),(427,1),(433,1),(434,1),(441,1)}
       394:{2,4,7}:{(346,1),(347,1),(350,1),(434,1),(435,1)}
       395:{2,5}:{(349,1),(350,1)}
       396:{2,3,6}:{(350,1),(359,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,5,7}:{(352,1),(353,1),(437,1),(438,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(357,1),(438,1),(439,1),(440,1),(500,1)}
       400:{1,4,6}:{(355,1),(356,1),(433,1),(437,1),(440,1)}
       401:{2,4,5,7}:{(356,1),(357,1),(358,1),(434,1),(438,1),(440,1),(441,1),(498,1),(500,1),(533,1),(534,1)}
       402:{3,7}:{(357,1),(359,1)}
       403:{3,5}:{(358,1),(359,1),(442,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(527,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(429,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(430,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(449,1),(455,1),(503,1)}
       412:{4,6}:{(369,1),(370,1)}
       413:{3,4,5,7}:{(370,1),(373,1),(376,1),(450,1),(451,1),(452,1),(475,1),(503,1),(520,1)}
       414:{4,7}:{(371,1),(372,1)}
       415:{3,4,6}:{(372,1),(373,1),(379,1),(452,1),(453,1)}
       416:{2,4,5}:{(373,1),(380,1),(453,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(378,1),(382,1),(449,1),(455,1),(463,1)}
       418:{3,6}:{(375,1),(376,1)}
       419:{2,3,5,7}:{(376,1),(377,1),(380,1),(384,1),(451,1),(456,1),(457,1)}
       420:{1,3,4,7}:{(377,1),(381,1),(385,1),(457,1),(458,1),(466,1),(476,1),(508,1),(517,1),(539,1),(540,1)}
       421:{3,5,7}:{(378,1),(379,1),(404,1),(452,1),(455,1)}
       422:{2,3,5,6}:{(379,1),(380,1),(388,1),(405,1),(453,1),(456,1),(459,1),(460,1),(504,1)}
       423:{1,3,5}:{(380,1),(381,1),(389,1),(454,1),(461,1),(510,1),(542,1),(550,1)}
       424:{2,4,6}:{(381,1),(407,1),(458,1),(461,1),(462,1),(477,1),(512,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(387,1),(391,1),(455,1),(463,1)}
       426:{2,6}:{(383,1),(384,1),(464,1)}
       427:{1,5,7}:{(384,1),(385,1),(389,1),(464,1)}
       428:{1,2,4,7}:{(385,1),(386,1),(390,1),(394,1),(458,1),(465,1),(466,1),(517,1)}
       429:{2,5,7}:{(387,1),(388,1),(408,1),(463,1),(467,1)}
       430:{1,5,6}:{(388,1),(389,1),(409,1),(464,1),(467,1)}
       431:{1,2,5}:{(389,1),(390,1),(395,1),(461,1),(468,1),(542,1)}
       432:{1,3,6}:{(390,1),(396,1),(410,1),(462,1),(466,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(400,1),(464,1),(469,1),(474,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,7}:{(394,1),(396,1),(402,1),(466,1)}
       436:{2,3,5}:{(395,1),(396,1),(403,1),(468,1),(471,1)}
       437:{1,5,6}:{(397,1),(398,1),(400,1),(472,1),(542,1)}
       438:{2,5,7}:{(398,1),(399,1),(472,1),(473,1)}
       439:{3,6,7}:{(399,1),(402,1),(473,1),(474,1)}
       440:{2,4,6}:{(400,1),(401,1),(469,1),(472,1),(474,1),(519,1)}
       441:{3,5,7}:{(401,1),(402,1),(403,1),(474,1),(475,1),(520,1)}
       442:{3,4}:{(403,1),(471,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(540,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(467,1),(476,1)}
       448:{4,5,6}:{(412,1),(478,1),(479,1),(534,1)}
       449:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       450:{3,4,6}:{(412,1),(413,1),(418,1),(479,1),(481,1)}
       451:{2,4,5,7}:{(413,1),(416,1),(419,1),(481,1),(482,1),(483,1),(498,1),(521,1),(533,1)}
       452:{3,4,7}:{(414,1),(415,1),(421,1),(483,1)}
       453:{2,4,6}:{(415,1),(416,1),(422,1),(483,1),(484,1)}
       454:{1,4,5}:{(416,1),(423,1),(484,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(421,1)}
       456:{2,3,6}:{(418,1),(419,1),(426,1),(481,1),(487,1)}
       457:{1,3,5,7}:{(419,1),(420,1),(423,1),(427,1),(482,1),(487,1),(488,1),(525,1)}
       458:{2,4,7}:{(420,1),(424,1),(488,1),(489,1),(502,1)}
       459:{2,3,5,7}:{(421,1),(422,1),(429,1),(443,1),(483,1),(486,1),(490,1),(521,1)}
       460:{1,3,5,6}:{(422,1),(423,1),(430,1),(444,1),(484,1),(487,1),(490,1),(491,1),(522,1),(527,1),(544,1)}
       461:{2,5}:{(423,1),(424,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(489,1),(492,1),(527,1)}
       463:{2,6,7}:{(425,1),(426,1),(429,1),(493,1)}
       464:{1,6}:{(426,1),(427,1)}
       465:{1,2,5,7}:{(427,1),(428,1),(431,1),(434,1),(488,1),(494,1),(495,1)}
       466:{1,3,7}:{(428,1),(432,1),(435,1),(489,1)}
       467:{1,5,7}:{(429,1),(430,1),(447,1),(493,1)}
       468:{1,3,5}:{(431,1),(432,1),(436,1),(492,1),(496,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(441,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(436,1),(442,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(440,1),(499,1),(533,1)}
       473:{3,5,7}:{(438,1),(439,1),(499,1),(500,1)}
       474:{3,6}:{(440,1),(441,1)}
       475:{3,4,7}:{(441,1),(442,1),(498,1),(500,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(449,1),(503,1)}
       479:{3,5,6}:{(448,1),(450,1),(503,1),(504,1),(520,1)}
       480:{3,4,6,7}:{(449,1),(450,1),(452,1),(455,1),(503,1),(505,1)}
       481:{2,4,6}:{(450,1),(451,1),(456,1),(504,1),(506,1)}
       482:{1,4,5,7}:{(451,1),(454,1),(457,1),(506,1),(507,1),(508,1),(517,1),(535,1),(542,1)}
       483:{2,4,7}:{(452,1),(453,1),(459,1),(508,1)}
       484:{1,4,6}:{(453,1),(454,1),(460,1),(508,1),(509,1),(549,1)}
       485:{2,4,5}:{(454,1),(461,1),(509,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(459,1),(463,1),(505,1),(511,1)}
       487:{1,3,6}:{(456,1),(457,1),(464,1),(506,1),(512,1),(538,1)}
       488:{2,5,7}:{(457,1),(458,1),(461,1),(512,1)}
       489:{2,3,7}:{(458,1),(462,1),(466,1),(540,1)}
       490:{1,3,5,7}:{(459,1),(460,1),(467,1),(476,1),(508,1),(511,1),(514,1),(535,1),(540,1),(548,1)}
       491:{2,5,6}:{(460,1),(461,1),(477,1),(509,1),(512,1),(514,1)}
       492:{2,3,5}:{(461,1),(462,1),(468,1),(510,1),(515,1)}
       493:{1,6,7}:{(463,1),(464,1),(467,1)}
       494:{1,2,6}:{(464,1),(465,1),(469,1),(512,1),(516,1)}
       495:{1,3,5,7}:{(465,1),(466,1),(468,1),(470,1),(513,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(468,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(474,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(475,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(474,1),(519,1),(520,1)}
       500:{4,7}:{(473,1),(519,1)}
       501:{3,4,6}:{(474,1),(475,1),(518,1),(519,1),(520,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,5,6}:{(479,1),(481,1),(521,1),(522,1),(533,1)}
       505:{2,4,6,7}:{(480,1),(481,1),(483,1),(486,1),(521,1),(523,1)}
       506:{1,4,6}:{(481,1),(482,1),(487,1),(522,1),(524,1)}
       507:{2,4,5,7}:{(482,1),(485,1),(488,1),(524,1),(525,1),(526,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       508:{1,4,7}:{(483,1),(484,1),(490,1),(526,1),(551,1)}
       509:{2,4,6}:{(484,1),(485,1),(491,1),(526,1),(527,1)}
       510:{3,5}:{(485,1),(527,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(490,1),(493,1),(523,1),(529,1),(545,1)}
       512:{2,6}:{(487,1),(488,1)}
       513:{2,3,5,7}:{(488,1),(489,1),(492,1),(495,1),(525,1),(530,1),(531,1),(547,1)}
       514:{2,5,7}:{(490,1),(491,1),(502,1),(526,1),(529,1)}
       515:{2,4}:{(492,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(501,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(500,1),(534,1)}
       520:{3,5}:{(501,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(505,1),(535,1)}
       522:{1,5,6}:{(504,1),(506,1),(535,1),(536,1),(542,1)}
       523:{1,4,6,7}:{(505,1),(506,1),(508,1),(511,1),(535,1),(537,1)}
       524:{2,4,6}:{(506,1),(507,1),(512,1),(536,1),(538,1),(549,1)}
       525:{3,5,7}:{(507,1),(510,1),(538,1),(539,1),(540,1),(550,1)}
       526:{2,4,7}:{(508,1),(509,1),(514,1),(540,1)}
       527:{3,6}:{(509,1),(510,1),(540,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(514,1)}
       530:{2,3,6}:{(512,1),(513,1),(516,1),(538,1),(541,1)}
       531:{2,4,7}:{(513,1),(515,1),(517,1),(539,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(523,1),(543,1)}
       536:{2,5,6}:{(522,1),(524,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(523,1),(524,1),(526,1),(529,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(524,1),(525,1)}
       539:{3,4,7}:{(525,1),(528,1),(531,1),(546,1),(551,1)}
       540:{3,7}:{(526,1),(527,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 723 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(125,1)}
         1:{4,5,6}:{(7,1),(8,1),(135,1),(148,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(76,1),(112,1)}
         4:{2,3,4}:{(5,1),(12,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(13,1),(14,1)}
         6:{5,6,7}:{(15,1),(151,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{3,5,6}:{(1,1),(2,1),(16,1),(17,1),(125,1),(145,1)}
         9:{3,4,7}:{(2,1),(16,1),(18,1)}
        10:{2,4,6}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1)}
        11:{1,4,5}:{(3,1),(14,1),(19,1),(20,1),(62,1),(97,1)}
        12:{1,3,4}:{(4,1),(14,1),(21,1),(42,1),(43,1),(62,1)}
        13:{2,3,6}:{(5,1),(10,1),(22,1),(23,1)}
        14:{1,3,5}:{(5,1),(11,1),(12,1),(23,1),(24,1),(30,1)}
        15:{4,6,7}:{(6,1),(7,1),(25,1),(148,1)}
        16:{3,5,7}:{(7,1),(8,1),(9,1),(25,1),(26,1)}
        17:{2,5,6}:{(8,1),(10,1),(26,1),(27,1),(112,1),(139,1)}
        18:{2,4,7}:{(9,1),(10,1),(22,1),(26,1),(28,1)}
        19:{1,4,6}:{(10,1),(11,1),(23,1),(27,1),(28,1),(29,1)}
        20:{2,4,5}:{(11,1),(24,1),(29,1),(30,1),(49,1),(81,1),(85,1)}
        21:{2,4}:{(12,1),(24,1),(32,1)}
        22:{2,3,7}:{(13,1),(18,1),(34,1)}
        23:{1,3,6}:{(13,1),(14,1),(19,1),(34,1),(35,1),(41,1)}
        24:{2,5}:{(14,1),(21,1),(35,1)}
        25:{3,6,7}:{(15,1),(16,1),(37,1),(145,1)}
        26:{2,5,7}:{(16,1),(17,1),(18,1),(37,1),(38,1)}
        27:{1,5,6}:{(17,1),(19,1),(38,1),(39,1),(97,1),(130,1)}
        28:{1,4,7}:{(18,1),(19,1),(34,1),(38,1),(40,1)}
        29:{2,4,6}:{(19,1),(20,1),(35,1),(39,1),(40,1),(41,1),(68,1)}
        30:{3,5}:{(20,1),(41,1),(42,1)}
        31:{1,2,4}:{(21,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(21,1),(43,1)}
        33:{1,2,5}:{(24,1),(31,1),(45,1),(46,1),(89,1)}
        34:{1,3,7}:{(22,1),(23,1),(28,1),(47,1),(53,1)}
        35:{2,6}:{(23,1),(24,1),(47,1)}
        36:{2,3,5}:{(24,1),(30,1),(32,1),(46,1),(48,1),(49,1),(81,1)}
        37:{2,6,7}:{(25,1),(26,1),(50,1),(139,1)}
        38:{1,5,7}:{(26,1),(27,1),(28,1),(50,1),(51,1)}
        39:{2,5,6}:{(27,1),(29,1),(51,1),(52,1),(81,1),(117,1)}
        40:{2,4,7}:{(28,1),(29,1),(47,1),(51,1),(53,1),(84,1)}
        41:{3,6}:{(29,1),(30,1),(53,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(35,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(61,1),(62,1),(97,1)}
        47:{2,7}:{(34,1),(35,1)}
        48:{2,3,6}:{(35,1),(36,1),(41,1),(61,1),(63,1),(64,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{1,6,7}:{(37,1),(38,1),(66,1),(130,1)}
        51:{2,5,7}:{(38,1),(39,1),(40,1),(66,1),(67,1)}
        52:{3,5,6}:{(39,1),(41,1),(67,1),(68,1),(70,1),(105,1),(133,1)}
        53:{3,7}:{(40,1),(41,1)}
        54:{3,4,6}:{(41,1),(42,1),(64,1),(68,1),(69,1),(70,1),(105,1)}
        55:{3,4,5}:{(42,1),(65,1),(70,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(112,1)}
        60:{1,2,7}:{(45,1),(47,1),(77,1),(123,1)}
        61:{1,3,6}:{(45,1),(46,1),(48,1),(75,1),(77,1),(78,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,3,7}:{(47,1),(48,1),(53,1),(77,1),(80,1)}
        64:{2,4,6}:{(48,1),(49,1),(54,1),(78,1),(80,1),(81,1),(117,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(81,1),(82,1)}
        66:{2,6,7}:{(50,1),(51,1),(83,1),(117,1)}
        67:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(119,1)}
        68:{4,6}:{(52,1),(84,1),(85,1)}
        69:{3,4,7}:{(53,1),(54,1),(80,1),(84,1),(86,1)}
        70:{3,5}:{(54,1),(81,1),(85,1)}
        71:{3,4,6}:{(55,1),(82,1),(87,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(61,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,3,7}:{(60,1),(61,1),(63,1),(93,1),(96,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(94,1),(96,1),(97,1),(130,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(97,1),(98,1)}
        80:{2,4,7}:{(63,1),(64,1),(69,1),(96,1),(99,1)}
        81:{2,5}:{(64,1),(70,1),(97,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(100,1),(101,1)}
        83:{3,6,7}:{(66,1),(67,1),(102,1),(105,1)}
        84:{4,7}:{(67,1),(68,1)}
        85:{4,5}:{(68,1),(70,1)}
        86:{3,5,7}:{(69,1),(70,1),(99,1),(103,1),(105,1)}
        87:{3,5,6}:{(70,1),(71,1),(100,1),(104,1),(105,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,3,7}:{(75,1),(77,1),(111,1),(123,1),(138,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(109,1),(111,1),(112,1),(139,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(112,1),(113,1),(135,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(114,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(115,1),(116,1)}
        99:{2,5,7}:{(80,1),(81,1),(86,1),(114,1),(117,1)}
       100:{2,5,6}:{(81,1),(82,1),(87,1),(115,1),(117,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(118,1)}
       102:{4,6,7}:{(83,1),(84,1),(119,1),(120,1)}
       103:{4,5,7}:{(84,1),(85,1),(86,1),(119,1),(120,1)}
       104:{4,5,6}:{(85,1),(87,1),(120,1),(121,1)}
       105:{3,6}:{(86,1),(117,1),(120,1)}
       106:{3,5,7}:{(87,1),(88,1),(118,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(144,1),(145,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(124,1),(127,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(128,1),(129,1),(144,1)}
       114:{1,5,7}:{(96,1),(97,1),(99,1),(127,1),(130,1)}
       115:{1,5,6}:{(97,1),(98,1),(100,1),(128,1),(130,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(131,1)}
       117:{2,6}:{(99,1),(105,1),(130,1)}
       118:{2,5,7}:{(100,1),(101,1),(106,1),(131,1),(132,1)}
       119:{5,7}:{(102,1),(133,1)}
       120:{4,6}:{(103,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(106,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,4,7}:{(109,1),(111,1),(136,1),(138,1),(149,1)}
       125:{3,5}:{(109,1),(112,1),(135,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,7}:{(111,1),(112,1),(114,1),(136,1),(139,1)}
       128:{2,5,6}:{(112,1),(113,1),(115,1),(137,1),(139,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(140,1),(149,1)}
       130:{1,6}:{(114,1),(117,1),(139,1)}
       131:{1,5,7}:{(115,1),(116,1),(118,1),(140,1),(141,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{5,6}:{(119,1),(120,1)}
       134:{4,6,7}:{(120,1),(121,1),(122,1),(142,1)}
       135:{4,5}:{(125,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(127,1),(143,1),(145,1)}
       137:{3,5,6}:{(125,1),(126,1),(128,1),(144,1),(145,1),(146,1),(151,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,6}:{(127,1),(130,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(131,1),(146,1),(147,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(135,1),(136,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(135,1),(137,1),(149,1)}
       145:{3,6}:{(136,1),(139,1),(148,1)}
       146:{3,5,7}:{(137,1),(138,1),(140,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 724 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(128,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(108,1),(128,1)}
         5:{3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
         6:{4,6,7}:{(1,1),(2,1),(13,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
         8:{2,5,6}:{(3,1),(12,1),(14,1),(15,1),(116,1),(139,1)}
         9:{2,4,5}:{(4,1),(12,1),(16,1),(17,1),(91,1),(116,1)}
        10:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        11:{3,4,7}:{(5,1),(7,1),(20,1)}
        12:{2,4,6}:{(5,1),(8,1),(9,1),(19,1),(20,1),(21,1)}
        13:{3,6,7}:{(6,1),(7,1),(22,1),(145,1)}
        14:{2,5,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{1,5,6}:{(8,1),(21,1),(23,1),(24,1),(101,1),(131,1)}
        16:{2,3,5}:{(9,1),(10,1),(19,1),(25,1)}
        17:{1,4,5}:{(9,1),(21,1),(25,1),(26,1),(75,1),(101,1)}
        18:{1,3,4}:{(10,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(12,1),(16,1),(28,1),(29,1)}
        20:{2,4,7}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
        21:{1,4,6}:{(12,1),(15,1),(17,1),(29,1),(30,1),(31,1)}
        22:{2,6,7}:{(13,1),(14,1),(32,1),(139,1)}
        23:{1,5,7}:{(14,1),(15,1),(30,1),(32,1),(33,1)}
        24:{2,5,6}:{(15,1),(31,1),(33,1),(34,1),(85,1),(119,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(29,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(31,1),(35,1),(36,1),(58,1),(60,1),(85,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{2,3,7}:{(19,1),(20,1),(39,1)}
        29:{1,3,6}:{(19,1),(21,1),(25,1),(39,1),(40,1),(42,1)}
        30:{1,4,7}:{(20,1),(21,1),(23,1),(39,1),(41,1)}
        31:{2,4,6}:{(21,1),(24,1),(26,1),(40,1),(41,1),(42,1),(45,1)}
        32:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        33:{2,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,5,6}:{(24,1),(42,1),(44,1),(45,1),(70,1),(104,1),(106,1)}
        35:{2,5}:{(25,1),(27,1),(40,1)}
        36:{3,5}:{(26,1),(42,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{1,3,7}:{(28,1),(29,1),(30,1),(52,1),(54,1)}
        40:{2,6}:{(29,1),(35,1),(52,1)}
        41:{2,4,7}:{(30,1),(31,1),(33,1),(52,1),(54,1),(57,1)}
        42:{3,6}:{(31,1),(36,1),(54,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(119,1)}
        44:{3,5,7}:{(33,1),(34,1),(54,1),(56,1),(57,1),(88,1)}
        45:{4,6}:{(34,1),(57,1),(58,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(53,1),(59,1),(60,1),(85,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(40,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,7}:{(39,1),(40,1)}
        53:{2,3,6}:{(40,1),(42,1),(47,1),(66,1),(67,1),(68,1)}
        54:{3,7}:{(41,1),(42,1)}
        55:{3,4,6}:{(42,1),(45,1),(48,1),(68,1),(69,1),(70,1),(104,1)}
        56:{3,6,7}:{(43,1),(44,1),(71,1),(104,1)}
        57:{4,7}:{(44,1),(45,1)}
        58:{4,5}:{(45,1),(70,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(66,1),(74,1),(75,1),(101,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(70,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,2,7}:{(51,1),(52,1),(82,1),(126,1)}
        66:{1,3,6}:{(51,1),(53,1),(59,1),(81,1),(82,1),(83,1)}
        67:{2,3,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        68:{2,4,6}:{(53,1),(55,1),(60,1),(83,1),(84,1),(85,1),(119,1)}
        69:{3,4,7}:{(54,1),(55,1),(57,1),(84,1),(86,1)}
        70:{3,5}:{(55,1),(58,1),(85,1)}
        71:{4,6,7}:{(56,1),(57,1),(88,1),(89,1)}
        72:{4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        73:{4,5,6}:{(58,1),(87,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(116,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(85,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(87,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(66,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,3,7}:{(65,1),(66,1),(67,1),(98,1),(100,1)}
        83:{1,4,6}:{(66,1),(68,1),(75,1),(99,1),(100,1),(101,1),(131,1)}
        84:{2,4,7}:{(67,1),(68,1),(69,1),(100,1),(102,1)}
        85:{2,5}:{(68,1),(70,1),(101,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(102,1),(104,1)}
        87:{3,5,6}:{(70,1),(73,1),(77,1),(103,1),(104,1),(105,1)}
        88:{5,7}:{(71,1),(106,1)}
        89:{4,6}:{(72,1),(104,1),(106,1)}
        90:{4,5,7}:{(73,1),(105,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(101,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(103,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(105,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,3,7}:{(81,1),(82,1),(115,1),(126,1),(142,1)}
        99:{2,4,6}:{(81,1),(83,1),(91,1),(114,1),(115,1),(116,1),(139,1)}
       100:{1,4,7}:{(82,1),(83,1),(84,1),(115,1),(117,1)}
       101:{1,5}:{(83,1),(85,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(86,1),(117,1),(119,1)}
       103:{2,5,6}:{(85,1),(87,1),(93,1),(118,1),(119,1),(120,1)}
       104:{3,6}:{(86,1),(89,1),(119,1)}
       105:{3,5,7}:{(87,1),(90,1),(94,1),(120,1),(121,1)}
       106:{5,6}:{(88,1),(89,1)}
       107:{4,6,7}:{(89,1),(90,1),(121,1),(122,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(116,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(118,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(120,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(99,1),(108,1),(127,1),(128,1),(134,1),(144,1),(145,1)}
       115:{2,4,7}:{(98,1),(99,1),(100,1),(127,1),(129,1)}
       116:{2,5}:{(99,1),(101,1),(128,1)}
       117:{1,5,7}:{(100,1),(101,1),(102,1),(129,1),(131,1)}
       118:{1,5,6}:{(101,1),(103,1),(110,1),(130,1),(131,1),(132,1)}
       119:{2,6}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(105,1),(111,1),(132,1),(133,1)}
       121:{3,6,7}:{(104,1),(105,1),(107,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(130,1),(134,1),(135,1),(144,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(132,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,4,7}:{(114,1),(115,1),(137,1),(142,1),(149,1)}
       128:{3,5}:{(114,1),(116,1),(136,1)}
       129:{2,5,7}:{(115,1),(116,1),(117,1),(137,1),(139,1)}
       130:{2,5,6}:{(116,1),(118,1),(124,1),(138,1),(139,1),(140,1)}
       131:{1,6}:{(117,1),(119,1),(139,1)}
       132:{1,5,7}:{(118,1),(120,1),(125,1),(140,1),(141,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(149,1)}
       136:{4,5}:{(128,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(129,1),(143,1),(145,1)}
       138:{3,5,6}:{(128,1),(130,1),(134,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(129,1),(131,1),(145,1)}
       140:{2,5,7}:{(130,1),(132,1),(135,1),(146,1),(147,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 725 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 726 :   0:{3,4,6,7}:{(2,1),(3,1),(15,1),(23,1),(38,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(38,1),(62,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(13,1),(25,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(7,1),(11,1),(12,1),(26,1),(50,1),(74,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(13,1),(29,1),(53,1),(58,1)}
         6:{3,5,6}:{(3,1),(14,1),(15,1),(38,1),(103,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(37,1)}
         8:{2,5,7}:{(2,1),(3,1),(14,1),(17,1)}
         9:{4,5,7}:{(3,1),(15,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(20,1),(38,1),(43,1),(62,1),(67,1),(68,1),(103,1)}
        11:{2,6,7}:{(4,1),(21,1),(62,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(17,1),(19,1),(21,1),(22,1),(39,1),(46,1),(65,1),(70,1)}
        13:{2,4,7}:{(5,1),(20,1),(22,1),(23,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(100,1)}
        15:{4,6}:{(6,1),(9,1),(104,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(26,1),(27,1),(34,1),(49,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(13,1),(25,1),(28,1),(29,1),(30,1),(53,1),(93,1),(100,1),(104,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(24,1),(31,1),(32,1),(48,1),(50,1),(55,1),(56,1),(74,1),(79,1),(80,1)}
        20:{2,4,6}:{(10,1),(13,1),(30,1),(32,1),(33,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(31,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
        23:{3,4,7}:{(13,1),(29,1),(33,1),(104,1)}
        24:{1,5,6}:{(14,1),(17,1),(36,1),(37,1),(96,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1),(62,1)}
        26:{3,6,7}:{(16,1),(39,1),(46,1),(61,1)}
        27:{2,5,7}:{(16,1),(17,1),(36,1),(39,1)}
        28:{1,4,5,7}:{(17,1),(18,1),(22,1),(37,1),(40,1),(41,1),(42,1),(65,1),(85,1),(96,1)}
        29:{3,5,7}:{(18,1),(23,1),(38,1),(43,1),(98,1),(103,1)}
        30:{2,4,5}:{(20,1),(42,1),(43,1),(67,1),(99,1)}
        31:{2,5,6}:{(19,1),(21,1),(44,1),(62,1),(67,1),(89,1)}
        32:{1,4,6}:{(19,1),(20,1),(22,1),(42,1),(44,1),(60,1)}
        33:{3,4,6}:{(20,1),(23,1),(38,1),(43,1)}
        34:{2,4,7}:{(21,1),(22,1),(44,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(41,1),(45,1),(46,1),(47,1),(63,1),(70,1),(85,1),(98,1)}
        36:{2,5,6}:{(24,1),(27,1),(48,1),(49,1),(90,1)}
        37:{1,4,6}:{(24,1),(25,1),(28,1),(49,1),(50,1),(74,1)}
        38:{3,6}:{(25,1),(29,1)}
        39:{3,5,7}:{(26,1),(27,1),(48,1),(51,1)}
        40:{2,4,5,7}:{(27,1),(28,1),(34,1),(49,1),(51,1),(52,1),(53,1),(54,1),(71,1),(75,1),(90,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(35,1),(50,1),(52,1),(53,1),(55,1)}
        42:{1,4,5}:{(30,1),(32,1),(54,1),(55,1),(71,1),(79,1),(94,1),(104,1)}
        43:{3,5}:{(30,1),(33,1),(102,1)}
        44:{2,4,6}:{(31,1),(32,1),(34,1),(54,1),(56,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(50,1),(55,1),(56,1),(57,1),(72,1),(77,1),(80,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{3,7}:{(34,1),(56,1)}
        47:{2,4,7}:{(35,1),(53,1),(57,1),(58,1),(59,1),(81,1)}
        48:{3,5,6}:{(36,1),(39,1),(60,1),(61,1),(82,1)}
        49:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(61,1),(62,1)}
        50:{1,3,6}:{(37,1),(38,1),(41,1),(61,1),(62,1)}
        51:{4,7}:{(39,1),(60,1)}
        52:{3,5,7}:{(40,1),(46,1),(61,1),(63,1),(66,1),(82,1)}
        53:{2,5,7}:{(41,1),(47,1),(62,1),(65,1),(67,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(67,1),(87,1)}
        55:{1,3,5}:{(42,1),(43,1),(45,1),(66,1),(67,1),(82,1),(96,1),(103,1)}
        56:{3,6}:{(44,1),(46,1),(66,1)}
        57:{2,4,6}:{(45,1),(47,1),(62,1),(67,1),(68,1),(69,1),(87,1),(89,1),(99,1)}
        58:{2,3,7}:{(46,1),(47,1),(68,1),(70,1),(98,1)}
        59:{1,4,7}:{(47,1),(65,1),(69,1),(70,1)}
        60:{4,6}:{(48,1),(51,1),(71,1)}
        61:{3,6}:{(49,1),(52,1)}
        62:{2,6}:{(50,1),(53,1),(74,1)}
        63:{3,4,7}:{(51,1),(52,1),(72,1),(75,1),(77,1)}
        64:{2,3,5,7}:{(52,1),(53,1),(58,1),(73,1),(75,1),(76,1),(78,1),(90,1)}
        65:{1,5,7}:{(53,1),(59,1),(74,1),(79,1)}
        66:{3,5}:{(54,1),(56,1),(77,1)}
        67:{2,5}:{(55,1),(57,1),(79,1)}
        68:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1),(101,1),(102,1)}
        69:{1,4,6}:{(57,1),(59,1),(74,1),(79,1),(80,1),(94,1)}
        70:{1,3,7}:{(58,1),(59,1),(80,1),(81,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(63,1),(82,1),(83,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1)}
        74:{1,6}:{(62,1),(65,1)}
        75:{2,4,7}:{(63,1),(64,1),(83,1),(85,1),(87,1)}
        76:{1,3,5,7}:{(64,1),(65,1),(70,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(87,1),(88,1),(103,1)}
        79:{1,5}:{(67,1),(69,1)}
        80:{1,3,6}:{(68,1),(69,1),(70,1),(88,1),(89,1)}
        81:{2,7}:{(70,1),(89,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(75,1),(90,1),(91,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(91,1),(92,1),(101,1)}
        85:{1,4,7}:{(75,1),(76,1),(91,1),(93,1),(94,1),(104,1)}
        86:{2,5,7}:{(76,1),(81,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(80,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(80,1),(81,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,6}:{(84,1),(86,1)}
        93:{2,4,7}:{(85,1),(86,1),(97,1),(98,1),(99,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(93,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 727 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(14,1),(22,1),(41,1),(47,1),(49,1),(81,1),(86,1),(87,1),(117,1),(143,1)}
         1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(28,1),(31,1),(37,1),(64,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(105,1),(106,1),(132,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(26,1),(30,1),(61,1),(67,1),(69,1),(100,1),(164,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(22,1),(41,1),(57,1),(93,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(16,1),(41,1),(76,1),(81,1),(117,1)}
         6:{1,4,6}:{(1,1),(14,1),(17,1),(18,1),(47,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(16,1),(18,1),(20,1),(46,1),(169,1)}
         9:{1,4,5}:{(2,1),(12,1),(19,1),(47,1),(89,1),(122,1),(143,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(156,1),(160,1)}
        11:{2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(37,1)}
        12:{1,4,6}:{(4,1),(9,1),(24,1),(26,1),(94,1),(110,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(61,1),(63,1),(98,1)}
        14:{1,3,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(94,1)}
        15:{2,3,5}:{(5,1),(7,1),(29,1),(31,1),(35,1),(71,1),(99,1),(132,1)}
        16:{2,3,7}:{(5,1),(8,1),(30,1),(61,1),(95,1),(100,1),(171,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(30,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(24,1),(31,1),(33,1),(35,1),(64,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(162,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(26,1),(36,1),(38,1),(63,1),(67,1),(105,1),(107,1),(148,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{1,5,6}:{(11,1),(17,1),(39,1),(40,1),(54,1)}
        24:{2,4,6}:{(11,1),(12,1),(19,1),(39,1),(41,1),(42,1),(76,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(42,1),(43,1)}
        26:{1,4,7}:{(12,1),(13,1),(42,1),(111,1),(114,1)}
        27:{1,3,6,7}:{(13,1),(22,1),(43,1),(44,1),(79,1),(156,1)}
        28:{2,6}:{(14,1),(45,1),(46,1)}
        29:{1,3,5}:{(14,1),(15,1),(17,1),(45,1),(47,1),(81,1),(89,1),(115,1)}
        30:{1,3,7}:{(14,1),(16,1),(18,1),(46,1),(111,1),(173,1)}
        31:{2,4}:{(15,1),(47,1),(49,1),(143,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(20,1),(48,1),(50,1),(51,1),(55,1),(88,1),(90,1),(116,1),(142,1)}
        33:{1,4,5}:{(17,1),(19,1),(39,1),(47,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(167,1),(170,1)}
        35:{3,5}:{(19,1),(41,1),(49,1),(81,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(50,1),(53,1),(55,1),(56,1),(80,1),(82,1),(88,1),(90,1),(114,1),(118,1),(122,1),(139,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{1,4,6}:{(23,1),(24,1),(33,1),(58,1),(59,1)}
        40:{1,5,7}:{(23,1),(25,1),(59,1),(60,1)}
        41:{3,6}:{(24,1),(35,1),(61,1)}
        42:{2,4,7}:{(24,1),(25,1),(26,1),(59,1),(61,1),(95,1)}
        43:{2,6,7}:{(25,1),(27,1),(37,1),(60,1),(162,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(38,1),(62,1),(63,1),(126,1),(148,1)}
        45:{2,5}:{(28,1),(29,1),(64,1),(129,1)}
        46:{2,7}:{(28,1),(30,1),(174,1)}
        47:{1,4}:{(29,1),(31,1),(64,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(34,1),(65,1),(67,1),(68,1),(100,1),(105,1),(107,1),(130,1),(132,1),(151,1)}
        49:{3,4}:{(31,1),(35,1)}
        50:{2,4,7}:{(31,1),(32,1),(67,1),(69,1),(70,1),(152,1)}
        51:{2,3,6}:{(32,1),(37,1),(68,1),(70,1),(74,1),(108,1)}
        52:{1,3,5}:{(33,1),(35,1),(58,1),(66,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(59,1),(67,1),(72,1),(73,1),(97,1),(105,1),(128,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(61,1),(69,1),(74,1),(100,1),(106,1),(132,1),(149,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(63,1),(75,1),(105,1)}
        58:{1,3,6}:{(39,1),(41,1),(52,1),(76,1),(77,1)}
        59:{1,4,7}:{(39,1),(40,1),(42,1),(77,1)}
        60:{1,6,7}:{(40,1),(43,1),(54,1),(167,1)}
        61:{3,7}:{(41,1),(42,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(44,1),(56,1),(78,1),(79,1),(80,1),(112,1),(114,1),(139,1)}
        63:{1,5,7}:{(44,1),(57,1),(80,1)}
        64:{2,4}:{(45,1),(47,1),(81,1)}
        65:{2,5,7}:{(45,1),(46,1),(48,1),(82,1),(83,1),(118,1),(140,1),(157,1)}
        66:{1,3,4}:{(47,1),(49,1),(52,1),(81,1),(84,1),(115,1)}
        67:{1,4,7}:{(47,1),(48,1),(50,1),(82,1),(86,1),(143,1),(158,1)}
        68:{1,3,6}:{(48,1),(51,1),(54,1),(83,1),(86,1),(117,1),(123,1)}
        69:{3,4,7}:{(49,1),(50,1),(55,1),(87,1),(114,1),(143,1),(159,1)}
        70:{2,4,6}:{(50,1),(51,1),(86,1),(87,1),(88,1)}
        71:{2,5}:{(52,1),(76,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(77,1),(85,1),(90,1),(91,1),(121,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(80,1),(88,1),(92,1),(93,1),(118,1)}
        76:{2,6}:{(58,1),(71,1),(94,1),(95,1)}
        77:{1,3,7}:{(58,1),(59,1),(61,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(62,1),(73,1),(96,1),(97,1),(128,1)}
        79:{3,6,7}:{(61,1),(62,1),(74,1),(98,1),(149,1)}
        80:{2,5,7}:{(62,1),(63,1),(75,1),(97,1),(98,1)}
        81:{3}:{(64,1)}
        82:{2,4,7}:{(64,1),(65,1),(67,1),(100,1),(101,1),(163,1)}
        83:{2,6}:{(65,1),(68,1)}
        84:{2,4}:{(66,1),(71,1),(99,1),(102,1),(129,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(69,1),(72,1),(100,1),(103,1),(104,1),(128,1),(130,1),(149,1)}
        86:{1,4,6}:{(67,1),(68,1),(70,1),(101,1),(105,1)}
        87:{3,4,6}:{(69,1),(70,1),(74,1),(106,1),(110,1)}
        88:{2,5}:{(70,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(94,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(95,1),(103,1),(107,1),(108,1),(134,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(97,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(98,1),(106,1),(110,1),(132,1)}
        94:{1,6}:{(76,1),(89,1),(111,1)}
        95:{2,7}:{(76,1),(77,1),(111,1)}
        96:{1,3,6,7}:{(77,1),(78,1),(79,1),(91,1),(112,1),(113,1)}
        97:{1,5,7}:{(78,1),(80,1),(92,1)}
        98:{3,5,7}:{(79,1),(80,1),(93,1),(114,1)}
        99:{2,3}:{(81,1),(84,1),(115,1)}
       100:{3,7}:{(81,1),(82,1),(117,1),(168,1)}
       101:{2,4,6}:{(82,1),(83,1),(86,1),(117,1),(118,1),(143,1)}
       102:{1,4}:{(84,1),(89,1),(115,1)}
       103:{2,4,7}:{(84,1),(85,1),(90,1),(116,1),(119,1),(120,1),(140,1)}
       104:{1,3,4,6}:{(85,1),(86,1),(87,1),(91,1),(117,1),(120,1),(121,1),(125,1),(141,1),(143,1),(147,1),(158,1),(159,1),(168,1)}
       105:{1,5}:{(86,1),(88,1),(118,1)}
       106:{3,5}:{(87,1),(88,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(111,1),(119,1),(123,1),(144,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(113,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(114,1),(122,1),(143,1)}
       111:{1,7}:{(94,1),(95,1)}
       112:{2,6,7}:{(95,1),(96,1),(108,1),(126,1),(127,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(98,1),(109,1),(127,1),(128,1),(149,1)}
       114:{4,7}:{(98,1),(110,1)}
       115:{1,3}:{(99,1),(102,1),(129,1)}
       116:{2,3,7}:{(99,1),(100,1),(103,1),(130,1),(131,1),(149,1),(162,1)}
       117:{3,6}:{(100,1),(101,1),(132,1)}
       118:{2,5}:{(101,1),(105,1),(132,1)}
       119:{1,4,7}:{(102,1),(103,1),(107,1),(130,1),(133,1)}
       120:{2,4,6}:{(103,1),(104,1),(108,1),(131,1),(133,1),(134,1),(150,1),(152,1),(163,1)}
       121:{1,3,5}:{(104,1),(105,1),(106,1),(132,1),(134,1),(135,1),(154,1)}
       122:{4,5}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(127,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(128,1),(135,1),(137,1),(166,1)}
       126:{1,6,7}:{(111,1),(112,1),(123,1),(138,1)}
       127:{2,5,7}:{(112,1),(113,1),(124,1),(138,1),(139,1)}
       128:{1,4,7}:{(113,1),(114,1),(125,1),(139,1),(167,1)}
       129:{2}:{(115,1)}
       130:{1,3,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(167,1)}
       131:{2,3,6}:{(116,1),(117,1),(120,1),(141,1),(142,1),(147,1),(161,1),(168,1)}
       132:{3,5}:{(117,1),(118,1),(143,1)}
       133:{1,4,6}:{(119,1),(120,1),(123,1),(141,1),(144,1),(158,1)}
       134:{2,5}:{(120,1),(121,1),(144,1)}
       135:{1,4,5}:{(121,1),(122,1),(125,1),(143,1),(145,1),(158,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(138,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(139,1),(145,1),(146,1),(147,1),(161,1)}
       138:{1,5,7}:{(126,1),(127,1),(136,1),(148,1)}
       139:{2,4,7}:{(127,1),(128,1),(137,1),(148,1),(149,1),(162,1)}
       140:{2,7}:{(129,1),(130,1),(150,1)}
       141:{1,3,6}:{(130,1),(131,1),(133,1),(150,1),(151,1),(166,1)}
       142:{2,3,5}:{(131,1),(132,1),(134,1),(151,1),(152,1),(154,1),(165,1),(171,1)}
       143:{4}:{(132,1)}
       144:{1,5}:{(133,1),(134,1)}
       145:{2,4,5}:{(134,1),(135,1),(137,1),(152,1),(153,1),(154,1),(163,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(148,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(149,1),(154,1)}
       148:{1,4,7}:{(138,1),(139,1),(146,1),(156,1)}
       149:{3,7}:{(139,1),(147,1)}
       150:{2,6}:{(140,1),(141,1),(157,1)}
       151:{1,3,5}:{(141,1),(142,1),(144,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       152:{2,4}:{(142,1),(143,1),(158,1),(159,1)}
       153:{1,4,5}:{(144,1),(145,1),(146,1),(158,1),(160,1)}
       154:{3,5}:{(145,1),(147,1),(159,1),(168,1)}
       155:{1,3,6}:{(146,1),(147,1),(156,1),(160,1),(161,1)}
       156:{1,3,7}:{(148,1),(149,1),(155,1),(162,1)}
       157:{2,5}:{(150,1),(151,1),(163,1),(174,1)}
       158:{1,4}:{(151,1),(152,1),(163,1)}
       159:{3,4}:{(152,1),(154,1)}
       160:{1,3,5}:{(153,1),(154,1),(155,1),(164,1),(165,1)}
       161:{2,6}:{(155,1),(162,1),(165,1),(166,1)}
       162:{2,7}:{(156,1),(161,1),(167,1)}
       163:{2,4}:{(157,1),(158,1),(168,1)}
       164:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       165:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       166:{1,6}:{(161,1),(167,1),(170,1)}
       167:{1,7}:{(162,1),(166,1)}
       168:{3}:{(163,1)}
       169:{2,4}:{(164,1),(165,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(165,1),(166,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 728 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(25,1),(66,1),(136,1),(155,1),(169,1),(231,1),(237,1),(271,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(37,1),(47,1),(88,1),(110,1),(117,1),(190,1),(218,1),(225,1),(226,1),(298,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(288,1),(295,1),(332,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(30,1),(107,1),(191,1),(210,1),(291,1),(299,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(15,1),(25,1),(61,1),(82,1),(136,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(16,1),(61,1),(82,1),(175,1),(230,1),(257,1),(349,1),(467,1),(519,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(74,1),(78,1),(251,1),(284,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(76,1),(278,1),(285,1),(357,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(55,1),(69,1),(137,1),(161,1),(170,1),(252,1),(362,1)}
         9:{2,4,5}:{(2,1),(12,1),(21,1),(23,1),(155,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(348,1),(358,1)}
        11:{1,3,5,6}:{(4,1),(7,1),(26,1),(27,1),(28,1),(47,1),(88,1),(100,1),(124,1),(190,1),(229,1)}
        12:{2,4,6}:{(4,1),(9,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(35,1),(95,1),(101,1),(191,1)}
        14:{1,4,5,6}:{(5,1),(27,1),(32,1),(33,1),(34,1),(100,1),(124,1),(178,1),(198,1),(297,1),(426,1)}
        15:{3,5,6}:{(5,1),(29,1),(35,1),(288,1),(318,1),(403,1)}
        16:{2,4,5,7}:{(5,1),(30,1),(34,1),(35,1),(36,1),(95,1),(101,1),(195,1),(319,1),(428,1),(497,1)}
        17:{1,2,4,6}:{(6,1),(37,1),(38,1),(39,1),(105,1),(110,1),(113,1),(218,1),(298,1),(301,1),(338,1)}
        18:{2,3,6}:{(6,1),(37,1),(41,1),(42,1),(88,1),(342,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(312,1)}
        21:{1,4,5}:{(7,1),(9,1),(27,1),(43,1),(110,1),(343,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(121,1),(413,1)}
        23:{3,4,5}:{(9,1),(29,1),(209,1),(288,1),(534,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(30,1),(46,1),(48,1),(49,1),(95,1),(210,1),(332,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(403,1),(414,1)}
        26:{2,5,6}:{(11,1),(19,1),(52,1),(53,1),(78,1),(251,1)}
        27:{1,4,6}:{(11,1),(12,1),(21,1),(52,1),(55,1),(286,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(53,1),(55,1),(56,1),(137,1),(141,1),(150,1),(252,1),(253,1)}
        29:{3,4,6}:{(12,1),(15,1),(23,1),(57,1),(519,1)}
        30:{2,4,7}:{(12,1),(13,1),(55,1),(57,1)}
        31:{2,3,6,7}:{(13,1),(25,1),(56,1),(58,1),(64,1),(151,1)}
        32:{2,4,5,6}:{(14,1),(52,1),(59,1),(60,1),(61,1),(132,1),(144,1),(174,1),(246,1),(286,1),(376,1),(377,1)}
        33:{1,3,5,6}:{(14,1),(15,1),(54,1),(59,1),(61,1),(62,1),(235,1),(359,1)}
        34:{1,4,5,7}:{(14,1),(16,1),(55,1),(60,1),(62,1),(63,1),(141,1),(150,1),(258,1),(380,1)}
        35:{3,5,7}:{(15,1),(16,1),(57,1),(64,1),(378,1)}
        36:{2,4,6,7}:{(16,1),(63,1),(64,1),(65,1),(151,1),(152,1),(349,1)}
        37:{1,3,6}:{(17,1),(18,1),(66,1),(68,1),(69,1),(392,1)}
        38:{1,2,5}:{(17,1),(19,1),(68,1),(153,1),(278,1),(357,1)}
        39:{1,2,4,7}:{(17,1),(20,1),(69,1),(71,1),(154,1),(161,1),(362,1),(363,1)}
        40:{2,3,4,6}:{(18,1),(67,1),(72,1),(73,1),(74,1),(133,1),(164,1),(168,1),(171,1),(237,1),(269,1),(381,1)}
        41:{2,3,5}:{(18,1),(19,1),(68,1),(74,1),(76,1)}
        42:{2,3,7}:{(18,1),(20,1),(69,1),(137,1)}
        43:{2,4,5}:{(19,1),(21,1),(52,1),(74,1),(76,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(78,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(54,1),(76,1),(79,1),(143,1),(160,1),(172,1),(235,1),(254,1),(373,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(55,1),(77,1),(80,1),(141,1),(161,1),(278,1)}
        47:{1,3,6}:{(22,1),(25,1),(78,1),(80,1),(173,1),(459,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(57,1),(81,1),(142,1),(270,1),(348,1),(388,1),(454,1)}
        49:{2,4,6}:{(24,1),(25,1),(80,1),(81,1),(82,1)}
        50:{1,2,5,6}:{(26,1),(38,1),(83,1),(84,1),(85,1),(100,1),(113,1),(201,1),(206,1),(295,1),(301,1),(408,1),(412,1),(414,1),(480,1),(492,1)}
        51:{2,3,5,6}:{(26,1),(41,1),(83,1),(86,1),(87,1),(88,1),(119,1),(182,1),(185,1),(227,1),(229,1),(295,1),(307,1),(308,1),(414,1),(480,1),(484,1),(520,1),(531,1),(546,1),(547,1)}
        52:{2,4,6}:{(26,1),(27,1),(43,1),(88,1),(89,1)}
        53:{2,5,7}:{(26,1),(28,1),(89,1),(90,1),(312,1)}
        54:{1,3,4,6}:{(27,1),(29,1),(33,1),(45,1),(88,1),(91,1),(92,1),(96,1),(190,1),(198,1),(318,1)}
        55:{1,4,7}:{(27,1),(28,1),(30,1),(89,1),(313,1)}
        56:{1,3,6,7}:{(28,1),(31,1),(47,1),(90,1),(93,1),(192,1),(205,1)}
        57:{3,4,7}:{(29,1),(30,1),(35,1),(497,1)}
        58:{2,4,6,7}:{(30,1),(31,1),(49,1),(93,1),(94,1),(95,1)}
        59:{3,5,6}:{(32,1),(88,1),(96,1),(98,1),(185,1),(307,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(89,1),(98,1),(99,1),(101,1),(193,1),(199,1),(313,1),(321,1),(322,1)}
        61:{2,5,6}:{(33,1),(91,1),(100,1),(101,1),(295,1),(414,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(35,1),(92,1),(98,1),(101,1),(102,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(99,1),(102,1),(103,1),(205,1),(297,1)}
        64:{3,6,7}:{(35,1),(36,1),(403,1)}
        65:{2,5,6,7}:{(36,1),(95,1),(103,1),(104,1),(404,1),(428,1)}
        66:{2,3,6}:{(37,1),(105,1),(106,1),(107,1),(324,1),(435,1)}
        67:{1,3,4,6}:{(37,1),(40,1),(105,1),(108,1),(109,1),(110,1),(209,1),(212,1),(216,1),(218,1),(298,1),(324,1),(330,1),(331,1),(429,1)}
        68:{1,3,5}:{(37,1),(38,1),(41,1),(106,1),(110,1)}
        69:{1,3,7}:{(37,1),(39,1),(42,1),(107,1)}
        70:{1,2,4,5}:{(38,1),(43,1),(84,1),(110,1),(112,1),(123,1),(178,1),(207,1),(217,1),(228,1),(295,1),(314,1),(336,1),(338,1),(412,1),(433,1),(476,1),(490,1)}
        71:{1,2,5,7}:{(38,1),(39,1),(44,1),(111,1),(113,1),(208,1),(413,1)}
        72:{2,3,5}:{(40,1),(108,1),(115,1),(185,1),(227,1),(295,1)}
        73:{2,3,4,7}:{(40,1),(42,1),(109,1),(116,1),(118,1),(188,1),(221,1),(299,1),(430,1)}
        74:{2,4}:{(41,1),(110,1),(117,1)}
        75:{2,3,5,7}:{(41,1),(42,1),(44,1),(111,1),(118,1),(119,1),(121,1),(227,1)}
        76:{3,5}:{(43,1),(88,1),(117,1)}
        77:{2,4,5,7}:{(43,1),(44,1),(46,1),(89,1),(118,1),(121,1),(122,1),(193,1),(227,1),(313,1),(343,1)}
        78:{2,6}:{(44,1),(47,1)}
        79:{2,4,5}:{(45,1),(91,1),(120,1),(123,1),(217,1),(228,1),(295,1)}
        80:{1,4,6}:{(46,1),(47,1),(49,1),(122,1),(124,1)}
        81:{3,4,6}:{(48,1),(49,1),(125,1),(403,1),(487,1)}
        82:{2,5,6}:{(49,1),(95,1),(124,1),(125,1),(332,1)}
        83:{1,3,5,6}:{(50,1),(51,1),(68,1),(126,1),(127,1),(128,1),(129,1),(162,1),(235,1),(240,1),(278,1),(357,1),(359,1),(360,1),(457,1),(459,1),(516,1),(542,1)}
        84:{1,2,4,6}:{(50,1),(52,1),(70,1),(127,1),(129,1),(130,1),(139,1),(237,1),(251,1),(257,1),(264,1),(389,1),(469,1),(500,1)}
        85:{1,2,5,7}:{(50,1),(53,1),(128,1),(130,1),(131,1),(150,1),(261,1),(265,1),(358,1),(363,1),(455,1),(509,1)}
        86:{2,4,6}:{(51,1),(74,1),(127,1),(132,1),(133,1),(134,1),(286,1),(512,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(53,1),(128,1),(134,1),(135,1),(137,1),(241,1),(245,1),(250,1),(253,1),(358,1),(509,1),(535,1),(548,1)}
        88:{3,6}:{(52,1),(76,1),(137,1)}
        89:{2,4,7}:{(52,1),(53,1),(55,1),(137,1)}
        90:{2,6,7}:{(53,1),(56,1),(78,1)}
        91:{2,4,6}:{(54,1),(61,1),(79,1),(136,1),(139,1),(140,1),(251,1)}
        92:{1,3,4,7}:{(54,1),(55,1),(57,1),(62,1),(137,1),(140,1),(145,1),(252,1),(258,1),(378,1)}
        93:{1,4,6,7}:{(55,1),(56,1),(58,1),(80,1),(138,1),(141,1)}
        94:{3,4,6,7}:{(57,1),(58,1),(64,1),(81,1),(142,1),(152,1)}
        95:{2,5,7}:{(58,1),(82,1),(141,1),(142,1)}
        96:{3,4,6}:{(59,1),(143,1),(144,1),(145,1),(286,1)}
        97:{2,3,5,6}:{(59,1),(61,1),(136,1),(144,1),(146,1),(147,1),(244,1),(368,1),(376,1)}
        98:{3,5,7}:{(59,1),(60,1),(137,1),(145,1),(148,1)}
        99:{2,4,6,7}:{(60,1),(63,1),(148,1),(149,1),(151,1),(246,1),(263,1)}
       100:{1,5,6}:{(61,1),(139,1),(150,1),(357,1),(459,1)}
       101:{2,5,7}:{(61,1),(62,1),(140,1),(150,1),(151,1)}
       102:{1,3,6,7}:{(62,1),(63,1),(64,1),(148,1),(151,1),(359,1)}
       103:{1,5,6,7}:{(63,1),(65,1),(141,1),(149,1),(360,1),(380,1)}
       104:{3,5,6,7}:{(64,1),(65,1),(142,1),(152,1),(451,1),(468,1)}
       105:{2,4,6}:{(66,1),(67,1),(153,1),(154,1),(155,1),(268,1),(387,1),(469,1)}
       106:{2,3,5}:{(66,1),(68,1),(153,1),(155,1),(266,1)}
       107:{2,3,7}:{(66,1),(69,1),(154,1),(382,1)}
       108:{1,3,5}:{(67,1),(72,1),(153,1),(158,1),(266,1),(278,1),(357,1),(388,1)}
       109:{1,3,4,7}:{(67,1),(69,1),(73,1),(154,1),(159,1),(161,1),(270,1),(273,1),(362,1),(382,1),(470,1)}
       110:{1,4}:{(68,1),(74,1),(155,1)}
       111:{1,3,5,7}:{(68,1),(69,1),(71,1),(75,1),(156,1),(161,1),(162,1),(278,1)}
       112:{1,3,5}:{(70,1),(76,1),(129,1),(160,1),(163,1),(266,1),(373,1),(392,1),(504,1)}
       113:{1,2,6}:{(71,1),(78,1),(162,1),(268,1),(459,1)}
       114:{2,3,5,6}:{(72,1),(157,1),(164,1),(165,1),(168,1),(242,1),(283,1),(354,1),(381,1)}
       115:{2,4,5}:{(72,1),(74,1),(158,1),(164,1),(166,1)}
       116:{2,3,5,7}:{(72,1),(73,1),(159,1),(167,1),(168,1),(245,1),(358,1)}
       117:{3,4}:{(74,1),(76,1)}
       118:{2,4,7}:{(74,1),(75,1),(161,1),(170,1),(171,1)}
       119:{2,3,6}:{(75,1),(78,1),(162,1),(171,1),(173,1)}
       120:{2,3,5}:{(76,1),(79,1),(136,1),(169,1),(172,1),(373,1)}
       121:{3,5,7}:{(76,1),(77,1),(137,1),(170,1),(173,1),(285,1)}
       122:{2,4,6}:{(77,1),(78,1),(80,1),(173,1),(174,1),(286,1)}
       123:{1,4,5}:{(79,1),(139,1),(172,1),(277,1),(357,1)}
       124:{1,5,6}:{(80,1),(82,1),(141,1),(174,1),(278,1)}
       125:{3,5,6}:{(81,1),(82,1),(142,1),(175,1),(388,1)}
       126:{2,3,5,6}:{(83,1),(106,1),(176,1),(177,1),(182,1),(201,1),(206,1),(211,1),(288,1),(295,1),(318,1),(324,1),(332,1),(403,1),(404,1),(414,1),(418,1),(434,1),(494,1),(496,1),(533,1)}
       127:{1,4,6}:{(83,1),(86,1),(110,1),(176,1),(178,1),(180,1),(490,1)}
       128:{1,3,5,7}:{(83,1),(85,1),(87,1),(177,1),(180,1),(181,1),(183,1),(300,1),(302,1),(413,1)}
       129:{1,3,6}:{(84,1),(88,1),(112,1),(182,1),(183,1),(318,1),(324,1),(520,1)}
       130:{1,2,4,7}:{(84,1),(85,1),(89,1),(180,1),(183,1),(194,1),(299,1),(312,1),(319,1),(325,1),(437,1),(498,1),(521,1)}
       131:{1,2,6,7}:{(85,1),(90,1),(113,1),(181,1),(205,1),(323,1),(326,1),(414,1),(489,1),(492,1),(529,1)}
       132:{2,4,5}:{(86,1),(178,1),(185,1),(227,1),(295,1),(343,1),(547,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(117,1),(185,1),(188,1),(307,1),(520,1),(525,1)}
       134:{2,4,7}:{(86,1),(87,1),(180,1),(188,1),(313,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(119,1),(181,1),(189,1),(192,1),(307,1),(414,1),(529,1),(531,1),(543,1)}
       136:{2,3,6}:{(88,1),(91,1),(120,1),(190,1),(191,1),(318,1)}
       137:{3,7}:{(88,1),(89,1)}
       138:{2,4,6,7}:{(89,1),(90,1),(93,1),(122,1),(192,1),(193,1),(313,1)}
       139:{1,4,6}:{(91,1),(100,1),(123,1),(190,1),(194,1)}
       140:{2,4,7}:{(91,1),(92,1),(101,1),(191,1),(194,1),(312,1)}
       141:{1,5,7}:{(93,1),(95,1),(124,1),(193,1)}
       142:{3,5,7}:{(94,1),(95,1),(125,1),(195,1)}
       143:{3,4,5}:{(96,1),(185,1),(196,1),(343,1),(525,1)}
       144:{2,4,6}:{(96,1),(97,1),(196,1),(198,1),(199,1)}
       145:{3,4,7}:{(96,1),(98,1),(199,1),(313,1)}
       146:{1,3,5,6}:{(97,1),(100,1),(190,1),(198,1),(201,1),(202,1),(305,1),(318,1),(420,1),(426,1),(496,1)}
       147:{2,3,5,7}:{(97,1),(98,1),(101,1),(191,1),(199,1),(202,1),(203,1),(321,1)}
       148:{3,6,7}:{(98,1),(99,1),(307,1)}
       149:{2,5,6,7}:{(99,1),(103,1),(193,1),(204,1),(308,1),(321,1)}
       150:{1,5,7}:{(100,1),(101,1),(194,1),(205,1)}
       151:{2,6,7}:{(101,1),(102,1),(205,1),(414,1)}
       152:{4,6,7}:{(104,1),(195,1),(487,1),(497,1)}
       153:{2,5}:{(105,1),(108,1)}
       154:{2,4,7}:{(105,1),(107,1),(109,1),(208,1),(498,1)}
       155:{2,4}:{(106,1),(110,1),(209,1)}
       156:{2,3,5,7}:{(106,1),(107,1),(111,1),(208,1),(210,1),(211,1),(328,1),(332,1)}
       157:{1,3,5,6}:{(108,1),(114,1),(206,1),(212,1),(213,1),(216,1),(324,1),(337,1),(408,1),(429,1),(434,1)}
       158:{1,4,5}:{(108,1),(110,1),(115,1),(207,1),(212,1),(436,1)}
       159:{1,3,5,7}:{(108,1),(109,1),(116,1),(208,1),(215,1),(216,1),(328,1),(413,1)}
       160:{1,3,4}:{(110,1),(112,1),(117,1),(209,1),(217,1),(423,1),(490,1),(525,1)}
       161:{1,4,7}:{(110,1),(111,1),(118,1),(210,1),(218,1)}
       162:{1,3,6}:{(111,1),(113,1),(119,1),(211,1),(218,1)}
       163:{2,3,5}:{(112,1),(182,1),(217,1),(219,1),(228,1),(295,1),(342,1),(433,1),(435,1)}
       164:{2,4,6}:{(114,1),(115,1),(212,1),(220,1),(221,1)}
       165:{2,3,5,7}:{(114,1),(213,1),(221,1),(222,1),(303,1),(340,1),(409,1),(430,1)}
       166:{3,4,5}:{(115,1),(117,1),(185,1),(220,1),(552,1)}
       167:{2,4,5,7}:{(115,1),(116,1),(118,1),(215,1),(221,1),(223,1),(224,1),(227,1),(340,1)}
       168:{2,3,6}:{(116,1),(216,1),(224,1),(307,1),(414,1)}
       169:{2,3,4}:{(117,1),(120,1),(217,1),(225,1),(423,1),(435,1)}
       170:{3,4,7}:{(117,1),(118,1),(121,1),(226,1),(313,1)}
       171:{2,4,6}:{(118,1),(119,1),(218,1),(226,1),(227,1)}
       172:{1,3,5}:{(120,1),(123,1),(190,1),(225,1),(228,1)}
       173:{3,6}:{(121,1),(122,1)}
       174:{2,5,6}:{(122,1),(124,1),(193,1),(227,1),(229,1)}
       175:{4,5,6}:{(125,1),(195,1),(436,1),(487,1)}
       176:{2,4,6}:{(126,1),(127,1),(155,1),(230,1),(231,1),(232,1),(462,1),(472,1),(519,1)}
       177:{2,3,5,7}:{(126,1),(128,1),(232,1),(233,1),(241,1),(261,1),(265,1),(348,1),(353,1),(358,1),(378,1),(382,1),(468,1),(471,1)}
       178:{1,4,5}:{(127,1),(132,1),(230,1),(235,1),(278,1),(357,1),(542,1)}
       179:{1,3,4,6}:{(127,1),(129,1),(133,1),(160,1),(231,1),(235,1),(237,1),(238,1),(359,1)}
       180:{1,4,7}:{(127,1),(128,1),(134,1),(232,1)}
       181:{1,3,6,7}:{(128,1),(131,1),(135,1),(162,1),(233,1),(239,1),(359,1),(459,1),(516,1)}
       182:{2,3,6}:{(129,1),(163,1),(237,1),(240,1),(241,1),(251,1),(469,1)}
       183:{1,3,7}:{(129,1),(130,1),(137,1),(241,1),(378,1),(382,1),(535,1)}
       184:{2,4,5,6}:{(132,1),(164,1),(234,1),(242,1),(243,1),(246,1),(283,1),(354,1),(394,1),(500,1),(540,1),(550,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(236,1),(245,1),(246,1),(250,1),(358,1),(372,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(144,1),(169,1),(237,1),(244,1),(247,1),(248,1),(368,1),(452,1),(512,1),(541,1)}
       188:{3,4,7}:{(133,1),(134,1),(137,1),(245,1),(535,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(171,1),(239,1),(246,1),(249,1),(250,1),(541,1)}
       190:{1,3,6}:{(136,1),(139,1),(172,1),(251,1),(252,1)}
       191:{2,3,7}:{(136,1),(137,1),(140,1),(252,1),(378,1)}
       192:{3,6,7}:{(137,1),(138,1),(173,1),(253,1)}
       193:{2,5,7}:{(138,1),(141,1),(174,1),(253,1)}
       194:{1,4,7}:{(139,1),(140,1),(150,1),(252,1)}
       195:{4,5,7}:{(142,1),(152,1),(175,1)}
       196:{2,4,5}:{(143,1),(144,1),(244,1),(254,1),(512,1)}
       197:{3,4,5,7}:{(143,1),(145,1),(245,1),(255,1),(256,1),(260,1),(372,1),(538,1),(549,1)}
       198:{1,4,6}:{(144,1),(146,1),(254,1),(257,1),(258,1),(519,1)}
       199:{2,4,7}:{(144,1),(145,1),(147,1),(258,1)}
       200:{3,4,6,7}:{(145,1),(148,1),(256,1),(259,1),(260,1),(263,1)}
       201:{2,5,6}:{(146,1),(251,1),(257,1),(261,1),(366,1),(464,1)}
       202:{1,3,5,7}:{(146,1),(147,1),(150,1),(252,1),(258,1),(261,1),(262,1),(378,1),(380,1),(468,1)}
       203:{2,3,6,7}:{(147,1),(148,1),(151,1),(259,1),(262,1),(368,1)}
       204:{3,5,6,7}:{(148,1),(149,1),(253,1),(260,1),(263,1),(369,1)}
       205:{1,6,7}:{(150,1),(151,1),(459,1)}
       206:{2,5,6}:{(153,1),(157,1),(264,1),(265,1),(268,1),(469,1)}
       207:{2,4,5}:{(153,1),(155,1),(158,1),(264,1),(266,1)}
       208:{2,5,7}:{(153,1),(154,1),(159,1),(268,1)}
       209:{3,4}:{(155,1),(266,1)}
       210:{2,4,7}:{(155,1),(156,1),(161,1),(270,1),(271,1)}
       211:{2,3,6}:{(156,1),(162,1),(268,1),(271,1),(385,1)}
       212:{1,4,6}:{(157,1),(158,1),(164,1),(264,1),(273,1),(472,1)}
       213:{1,3,5,7}:{(157,1),(165,1),(265,1),(273,1),(274,1),(382,1),(391,1),(455,1),(470,1),(471,1)}
       214:{1,3,4,5}:{(158,1),(160,1),(166,1),(235,1),(266,1),(272,1),(275,1),(344,1),(384,1),(441,1),(504,1)}
       215:{1,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(267,1),(273,1),(276,1),(278,1),(391,1)}
       216:{1,3,6}:{(159,1),(168,1),(268,1),(276,1),(385,1),(459,1)}
       217:{2,4}:{(160,1),(163,1),(277,1)}
       218:{1,4,6}:{(161,1),(162,1),(171,1),(271,1),(278,1)}
       219:{1,3,5}:{(163,1),(240,1),(277,1),(279,1),(357,1),(392,1)}
       220:{3,4,6}:{(164,1),(166,1),(242,1),(280,1),(550,1)}
       221:{2,4,7}:{(164,1),(165,1),(273,1),(280,1)}
       222:{2,3,6,7}:{(165,1),(168,1),(274,1),(281,1),(364,1),(456,1)}
       223:{3,4,5,7}:{(166,1),(167,1),(170,1),(245,1),(280,1),(282,1),(285,1),(372,1),(393,1)}
       224:{2,4,6}:{(167,1),(168,1),(276,1),(282,1),(283,1)}
       225:{1,3,4}:{(169,1),(172,1),(277,1),(284,1),(392,1)}
       226:{3,4,6}:{(170,1),(171,1),(173,1),(285,1),(286,1)}
       227:{2,5}:{(171,1),(278,1),(285,1)}
       228:{2,5}:{(172,1),(251,1),(284,1)}
       229:{3,5,6}:{(173,1),(174,1),(253,1),(285,1),(286,1)}
       230:{2,4,5}:{(176,1),(178,1),(288,1),(295,1),(332,1),(436,1),(533,1),(534,1)}
       231:{3,4,6}:{(176,1),(209,1),(288,1),(291,1),(318,1),(324,1),(403,1),(423,1)}
       232:{2,4,7}:{(176,1),(177,1),(180,1),(291,1),(497,1),(499,1)}
       233:{2,3,6,7}:{(177,1),(181,1),(211,1),(292,1),(323,1),(326,1),(403,1),(414,1),(427,1),(431,1),(494,1)}
       234:{1,4,5,6}:{(178,1),(184,1),(212,1),(287,1),(293,1),(294,1),(297,1),(337,1),(408,1),(473,1),(528,1)}
       235:{1,3,5}:{(178,1),(179,1),(185,1),(288,1),(295,1)}
       236:{1,4,5,7}:{(178,1),(180,1),(186,1),(289,1),(296,1),(297,1),(300,1),(413,1)}
       237:{2,4,6}:{(179,1),(182,1),(217,1),(295,1),(298,1),(299,1),(414,1)}
       238:{1,3,4,7}:{(179,1),(180,1),(183,1),(188,1),(291,1),(296,1),(299,1)}
       239:{1,4,6,7}:{(180,1),(181,1),(189,1),(218,1),(292,1),(297,1),(300,1),(532,1)}
       240:{1,3,6}:{(182,1),(219,1),(298,1),(301,1),(302,1)}
       241:{2,3,7}:{(182,1),(183,1),(299,1),(302,1),(312,1),(498,1)}
       242:{3,5,6}:{(184,1),(185,1),(220,1),(303,1),(307,1),(520,1)}
       243:{2,4,5,7}:{(184,1),(221,1),(294,1),(303,1),(304,1),(340,1),(409,1),(438,1),(521,1),(544,1),(551,1)}
       244:{2,3,5}:{(185,1),(187,1),(196,1),(295,1),(305,1),(547,1)}
       245:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       246:{2,4,6}:{(186,1),(297,1),(307,1),(308,1),(414,1),(421,1)}
       247:{1,3,4,6}:{(187,1),(190,1),(198,1),(225,1),(298,1),(305,1),(309,1),(310,1),(318,1),(415,1),(420,1),(423,1),(490,1),(495,1),(532,1)}
       248:{2,3,4,7}:{(187,1),(188,1),(191,1),(199,1),(299,1),(306,1),(310,1),(488,1),(530,1)}
       249:{3,4,6,7}:{(188,1),(189,1),(192,1),(226,1),(307,1),(311,1),(313,1),(421,1),(543,1),(545,1),(551,1)}
       250:{2,5,7}:{(189,1),(227,1),(300,1),(308,1),(311,1),(547,1)}
       251:{2,6}:{(190,1),(228,1),(312,1)}
       252:{1,3,7}:{(190,1),(191,1),(194,1),(312,1)}
       253:{3,5,7}:{(192,1),(193,1),(229,1),(313,1)}
       254:{1,4,5}:{(196,1),(198,1),(305,1),(314,1),(490,1),(534,1)}
       255:{2,4,5,7}:{(196,1),(197,1),(199,1),(306,1),(315,1),(316,1),(321,1),(530,1),(547,1)}
       256:{3,4,6}:{(197,1),(307,1),(316,1),(317,1),(421,1)}
       257:{2,4,6}:{(198,1),(201,1),(314,1),(318,1),(319,1)}
       258:{1,4,7}:{(198,1),(199,1),(202,1),(319,1),(497,1)}
       259:{2,4,6,7}:{(199,1),(200,1),(203,1),(316,1),(320,1),(321,1)}
       260:{3,5,7}:{(200,1),(317,1),(321,1),(322,1)}
       261:{2,5,7}:{(201,1),(202,1),(312,1),(319,1),(323,1)}
       262:{1,3,6,7}:{(202,1),(203,1),(205,1),(320,1),(323,1),(420,1),(427,1)}
       263:{4,6,7}:{(204,1),(313,1),(322,1),(421,1)}
       264:{2,4,6}:{(206,1),(207,1),(212,1),(324,1),(325,1)}
       265:{2,5,7}:{(206,1),(213,1),(325,1),(326,1),(498,1)}
       266:{3,5}:{(207,1),(209,1),(324,1)}
       267:{2,4,5,7}:{(207,1),(208,1),(210,1),(215,1),(325,1),(328,1),(329,1),(332,1),(432,1),(436,1),(499,1)}
       268:{2,6}:{(208,1),(216,1)}
       269:{2,3,4}:{(209,1),(217,1),(327,1),(330,1),(342,1),(525,1)}
       270:{3,4,7}:{(209,1),(210,1),(328,1),(331,1),(499,1)}
       271:{2,4,6}:{(210,1),(211,1),(218,1),(331,1),(332,1)}
       272:{1,3,4,6}:{(212,1),(214,1),(220,1),(293,1),(324,1),(333,1),(334,1),(395,1),(429,1),(473,1),(520,1)}
       273:{1,4,7}:{(212,1),(213,1),(221,1),(325,1),(499,1)}
       274:{1,3,6,7}:{(213,1),(216,1),(222,1),(326,1),(335,1),(431,1),(489,1)}
       275:{2,4,5}:{(214,1),(217,1),(295,1),(327,1),(333,1),(336,1),(433,1)}
       276:{1,4,6}:{(215,1),(216,1),(224,1),(329,1),(337,1)}
       277:{1,4}:{(217,1),(219,1)}
       278:{1,5}:{(218,1),(227,1),(332,1)}
       279:{1,2,5}:{(219,1),(228,1),(301,1),(338,1),(433,1)}
       280:{3,4,7}:{(220,1),(221,1),(303,1),(551,1)}
       281:{2,4,6,7}:{(221,1),(222,1),(224,1),(335,1),(339,1),(340,1)}
       282:{3,4,6}:{(223,1),(224,1),(307,1),(341,1),(421,1)}
       283:{2,5,6}:{(224,1),(227,1),(337,1),(340,1),(341,1)}
       284:{2,4}:{(225,1),(228,1),(342,1)}
       285:{3,5}:{(226,1),(227,1),(343,1)}
       286:{4,6}:{(229,1),(313,1),(343,1)}
       287:{2,4,5,6}:{(230,1),(234,1),(264,1),(345,1),(346,1),(349,1),(354,1),(386,1),(439,1),(472,1),(507,1),(508,1)}
       288:{3,5}:{(230,1),(231,1)}
       289:{2,4,5,7}:{(230,1),(232,1),(236,1),(348,1),(349,1),(353,1),(358,1),(454,1)}
       290:{2,3,4,6}:{(231,1),(237,1),(269,1),(347,1),(350,1),(351,1),(370,1),(381,1),(439,1),(450,1),(462,1),(517,1)}
       291:{3,4,7}:{(231,1),(232,1),(348,1),(378,1),(382,1)}
       292:{2,4,6,7}:{(232,1),(233,1),(239,1),(271,1),(349,1),(352,1),(353,1),(517,1)}
       293:{1,3,5,6}:{(234,1),(235,1),(242,1),(272,1),(345,1),(354,1),(355,1),(359,1)}
       294:{1,4,5,7}:{(234,1),(243,1),(273,1),(346,1),(355,1),(356,1),(391,1),(455,1),(501,1),(537,1)}
       295:{2,5}:{(235,1),(237,1),(357,1)}
       296:{1,3,5,7}:{(235,1),(236,1),(238,1),(245,1),(348,1),(358,1),(359,1)}
       297:{1,4,6}:{(236,1),(246,1),(349,1),(359,1),(360,1),(459,1)}
       298:{1,4,6}:{(237,1),(240,1),(277,1),(357,1),(362,1),(459,1)}
       299:{2,4,7}:{(237,1),(238,1),(241,1),(358,1),(362,1)}
       300:{1,5,7}:{(239,1),(250,1),(278,1),(353,1),(360,1),(542,1)}
       301:{1,2,6}:{(240,1),(251,1),(279,1),(363,1),(469,1)}
       302:{1,3,7}:{(240,1),(241,1),(362,1),(363,1)}
       303:{3,5,7}:{(242,1),(243,1),(280,1),(364,1),(535,1)}
       304:{2,4,6,7}:{(243,1),(246,1),(356,1),(364,1),(365,1),(456,1),(461,1)}
       305:{1,3,5}:{(244,1),(247,1),(254,1),(357,1),(366,1),(373,1),(518,1),(542,1)}
       306:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(358,1),(367,1),(368,1)}
       307:{3,6}:{(245,1),(246,1)}
       308:{2,5,6}:{(246,1),(250,1),(360,1),(369,1)}
       309:{2,4,6}:{(247,1),(251,1),(284,1),(366,1),(370,1),(371,1),(462,1),(464,1)}
       310:{1,3,4,7}:{(247,1),(248,1),(252,1),(258,1),(362,1),(367,1),(371,1),(378,1),(460,1),(465,1),(515,1)}
       311:{3,5,7}:{(249,1),(250,1),(285,1),(369,1),(372,1),(549,1)}
       312:{2,7}:{(251,1),(252,1)}
       313:{4,7}:{(253,1),(286,1)}
       314:{2,4,5}:{(254,1),(257,1),(366,1),(373,1),(462,1)}
       315:{1,4,5,7}:{(254,1),(255,1),(258,1),(367,1),(374,1),(375,1),(380,1),(515,1),(542,1)}
       316:{2,4,6}:{(255,1),(256,1),(368,1),(375,1),(376,1)}
       317:{3,5,6}:{(256,1),(260,1),(376,1),(377,1),(549,1)}
       318:{3,6}:{(257,1),(373,1),(378,1)}
       319:{2,4,7}:{(257,1),(258,1),(261,1),(378,1)}
       320:{1,4,6,7}:{(258,1),(259,1),(262,1),(375,1),(379,1),(380,1)}
       321:{2,5,7}:{(259,1),(260,1),(376,1),(380,1)}
       322:{4,5,7}:{(260,1),(263,1),(377,1)}
       323:{2,6,7}:{(261,1),(262,1),(464,1)}
       324:{3,6}:{(264,1),(266,1),(382,1)}
       325:{2,4,7}:{(264,1),(265,1),(273,1),(382,1)}
       326:{2,6,7}:{(265,1),(268,1),(274,1)}
       327:{2,3,5}:{(266,1),(269,1),(275,1),(381,1),(384,1),(504,1)}
       328:{3,5,7}:{(266,1),(267,1),(270,1),(382,1),(385,1),(388,1)}
       329:{2,4,6}:{(267,1),(268,1),(276,1),(385,1),(386,1),(472,1)}
       330:{1,3,4}:{(269,1),(277,1),(384,1),(387,1),(392,1)}
       331:{3,4,6}:{(270,1),(271,1),(385,1),(388,1),(472,1)}
       332:{2,5}:{(271,1),(278,1),(388,1)}
       333:{2,4,6}:{(272,1),(275,1),(354,1),(381,1),(389,1),(390,1),(469,1)}
       334:{1,3,4,7}:{(272,1),(273,1),(280,1),(355,1),(382,1),(390,1),(440,1),(470,1),(501,1),(535,1)}
       335:{1,4,6,7}:{(273,1),(274,1),(276,1),(281,1),(383,1),(391,1)}
       336:{1,4,5}:{(275,1),(277,1),(357,1),(384,1),(389,1)}
       337:{1,5,6}:{(276,1),(278,1),(283,1),(386,1),(391,1)}
       338:{1,2,4}:{(277,1),(279,1),(284,1),(387,1),(392,1)}
       339:{3,4,6,7}:{(280,1),(281,1),(282,1),(364,1),(393,1),(461,1)}
       340:{2,5,7}:{(281,1),(283,1),(391,1),(393,1)}
       341:{3,5,6}:{(282,1),(283,1),(285,1),(393,1),(394,1)}
       342:{2,3}:{(284,1),(392,1)}
       343:{4,5}:{(285,1),(286,1)}
       344:{3,4,5}:{(288,1),(395,1),(396,1),(423,1),(436,1)}
       345:{3,5,6}:{(287,1),(288,1),(324,1),(395,1),(399,1),(403,1)}
       346:{2,4,5,7}:{(287,1),(294,1),(325,1),(399,1),(400,1),(409,1),(432,1),(474,1),(499,1),(523,1),(524,1)}
       347:{2,3,5}:{(288,1),(290,1),(295,1),(396,1),(401,1),(533,1)}
       348:{3,5,7}:{(288,1),(289,1),(291,1),(403,1)}
       349:{2,4,6}:{(289,1),(297,1),(403,1),(404,1),(414,1),(487,1)}
       350:{1,3,4,6}:{(290,1),(298,1),(330,1),(401,1),(405,1),(406,1),(415,1),(429,1),(473,1),(486,1),(490,1),(520,1),(525,1),(532,1),(545,1)}
       351:{2,3,4,7}:{(290,1),(291,1),(299,1),(402,1),(406,1),(422,1),(430,1),(474,1),(493,1)}
       352:{3,4,6,7}:{(291,1),(292,1),(331,1),(403,1),(407,1),(427,1),(431,1),(487,1),(495,1),(497,1),(499,1)}
       353:{2,5,7}:{(292,1),(300,1),(332,1),(404,1),(407,1),(533,1)}
       354:{2,5,6}:{(293,1),(295,1),(333,1),(408,1),(409,1),(414,1)}
       355:{1,3,5,7}:{(293,1),(294,1),(303,1),(334,1),(399,1),(409,1),(410,1)}
       356:{1,4,6,7}:{(294,1),(297,1),(304,1),(400,1),(410,1),(411,1),(489,1)}
       357:{1,5}:{(295,1),(298,1)}
       358:{2,5,7}:{(295,1),(296,1),(299,1),(413,1),(414,1)}
       359:{1,3,6}:{(296,1),(297,1),(307,1),(403,1),(414,1)}
       360:{1,5,6}:{(297,1),(300,1),(308,1),(404,1)}
       361:{1,2,4,6}:{(298,1),(301,1),(309,1),(338,1),(405,1),(412,1),(415,1),(416,1),(490,1),(492,1),(532,1)}
       362:{1,4,7}:{(298,1),(299,1),(302,1),(413,1)}
       363:{1,2,7}:{(301,1),(302,1),(312,1),(498,1)}
       364:{3,6,7}:{(303,1),(304,1),(307,1)}
       365:{2,5,6,7}:{(304,1),(308,1),(340,1),(411,1),(417,1),(544,1)}
       366:{2,5}:{(305,1),(309,1)}
       367:{1,3,5,7}:{(305,1),(306,1),(310,1),(315,1),(413,1),(419,1),(420,1),(424,1)}
       368:{2,3,6}:{(306,1),(307,1),(316,1),(414,1),(420,1)}
       369:{3,5,6}:{(307,1),(308,1),(311,1),(421,1)}
       370:{2,3,6}:{(309,1),(318,1),(342,1),(415,1),(418,1),(422,1)}
       371:{2,4,7}:{(309,1),(310,1),(312,1),(419,1),(422,1)}
       372:{4,5,7}:{(311,1),(313,1),(343,1),(421,1),(551,1),(552,1)}
       373:{3,5}:{(314,1),(318,1),(423,1)}
       374:{2,4,5,7}:{(314,1),(315,1),(319,1),(419,1),(424,1),(425,1),(428,1),(493,1),(497,1),(533,1),(534,1)}
       375:{1,4,6}:{(315,1),(316,1),(420,1),(425,1),(426,1)}
       376:{2,5,6}:{(316,1),(317,1),(321,1),(426,1),(547,1)}
       377:{4,5,6}:{(317,1),(322,1),(421,1),(552,1)}
       378:{3,7}:{(318,1),(319,1)}
       379:{2,4,6,7}:{(319,1),(320,1),(323,1),(425,1),(427,1),(428,1),(497,1)}
       380:{1,5,7}:{(320,1),(321,1),(426,1),(428,1)}
       381:{2,3,6}:{(324,1),(327,1),(333,1),(429,1),(430,1),(520,1)}
       382:{3,7}:{(324,1),(325,1)}
       383:{2,4,6,7}:{(325,1),(326,1),(329,1),(335,1),(431,1),(432,1),(499,1)}
       384:{1,3,5}:{(327,1),(330,1),(336,1),(429,1),(433,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(332,1),(337,1),(432,1),(434,1)}
       387:{2,4}:{(330,1),(433,1),(435,1)}
       388:{3,5}:{(331,1),(332,1),(436,1)}
       389:{1,4,6}:{(333,1),(336,1),(408,1),(429,1),(437,1)}
       390:{2,4,7}:{(333,1),(334,1),(409,1),(430,1),(437,1),(498,1)}
       391:{1,5,7}:{(335,1),(337,1),(340,1),(432,1)}
       392:{1,3}:{(338,1),(342,1),(435,1)}
       393:{3,5,7}:{(339,1),(340,1),(341,1),(438,1)}
       394:{4,5,6}:{(341,1),(343,1),(421,1),(438,1)}
       395:{3,4,6}:{(344,1),(345,1),(439,1),(440,1),(472,1)}
       396:{2,4,5}:{(344,1),(347,1),(439,1),(441,1),(462,1)}
       397:{3,4,5,7}:{(344,1),(348,1),(440,1),(442,1),(443,1),(454,1),(465,1),(503,1),(518,1)}
       398:{2,3,5,6}:{(345,1),(347,1),(354,1),(381,1),(439,1),(444,1),(445,1),(450,1),(507,1)}
       399:{3,5,7}:{(345,1),(346,1),(382,1),(440,1),(446,1)}
       400:{2,4,6,7}:{(346,1),(349,1),(356,1),(446,1),(447,1),(456,1),(511,1)}
       401:{1,3,5}:{(347,1),(350,1),(357,1),(441,1),(448,1),(504,1),(542,1),(549,1)}
       402:{2,3,5,7}:{(347,1),(348,1),(351,1),(358,1),(442,1),(449,1),(450,1)}
       403:{3,6}:{(348,1),(349,1)}
       404:{2,5,6}:{(349,1),(353,1),(360,1),(451,1)}
       405:{2,4,6}:{(350,1),(387,1),(448,1),(452,1),(453,1),(469,1),(512,1),(514,1)}
       406:{1,3,4,7}:{(350,1),(351,1),(362,1),(449,1),(453,1),(460,1),(470,1),(501,1),(515,1),(535,1),(538,1)}
       407:{3,5,7}:{(352,1),(353,1),(388,1),(451,1),(454,1),(518,1)}
       408:{1,5,6}:{(354,1),(357,1),(389,1),(455,1),(459,1)}
       409:{2,5,7}:{(354,1),(355,1),(390,1),(455,1),(456,1)}
       410:{1,3,6,7}:{(355,1),(356,1),(359,1),(364,1),(446,1),(456,1)}
       411:{1,5,6,7}:{(356,1),(360,1),(365,1),(391,1),(447,1),(537,1)}
       412:{1,2,5}:{(357,1),(361,1),(366,1),(448,1),(457,1),(542,1)}
       413:{1,5,7}:{(357,1),(358,1),(362,1),(459,1)}
       414:{2,6}:{(358,1),(359,1),(459,1)}
       415:{1,3,6}:{(361,1),(370,1),(392,1),(452,1),(457,1),(460,1)}
       416:{1,2,4,7}:{(361,1),(362,1),(363,1),(371,1),(453,1),(458,1),(460,1),(515,1)}
       417:{3,5,6,7}:{(364,1),(365,1),(369,1),(393,1),(461,1),(548,1)}
       418:{2,3,5}:{(366,1),(370,1),(373,1),(457,1),(462,1)}
       419:{2,5,7}:{(366,1),(367,1),(371,1),(464,1)}
       420:{1,3,6}:{(367,1),(368,1),(375,1),(459,1),(464,1),(466,1)}
       421:{4,6}:{(369,1),(372,1)}
       422:{2,3,7}:{(370,1),(371,1),(378,1),(460,1)}
       423:{3,4}:{(373,1),(462,1)}
       424:{3,5,7}:{(373,1),(374,1),(378,1),(465,1),(466,1),(518,1)}
       425:{2,4,6}:{(374,1),(375,1),(464,1),(466,1),(467,1),(519,1)}
       426:{1,5,6}:{(375,1),(376,1),(380,1),(467,1),(542,1)}
       427:{3,6,7}:{(378,1),(379,1),(466,1),(468,1)}
       428:{2,5,7}:{(379,1),(380,1),(467,1),(468,1)}
       429:{1,3,6}:{(381,1),(384,1),(389,1),(469,1),(470,1)}
       430:{2,3,7}:{(381,1),(382,1),(390,1),(470,1),(535,1)}
       431:{3,6,7}:{(382,1),(383,1),(385,1),(471,1)}
       432:{2,5,7}:{(383,1),(386,1),(391,1),(471,1)}
       433:{2,5}:{(384,1),(387,1),(469,1)}
       434:{3,5,6}:{(385,1),(386,1),(388,1),(471,1),(472,1)}
       435:{2,3}:{(387,1),(392,1)}
       436:{4,5}:{(388,1),(472,1)}
       437:{1,4,7}:{(389,1),(390,1),(455,1),(470,1)}
       438:{4,5,7}:{(393,1),(394,1),(461,1)}
       439:{2,4,6}:{(395,1),(396,1),(398,1),(473,1),(474,1)}
       440:{3,4,7}:{(395,1),(399,1),(474,1),(499,1)}
       441:{1,4,5}:{(396,1),(401,1),(473,1),(476,1),(490,1),(552,1)}
       442:{2,4,5,7}:{(396,1),(397,1),(402,1),(474,1),(477,1),(478,1),(493,1),(523,1),(533,1)}
       443:{3,4,6}:{(397,1),(403,1),(478,1),(479,1),(487,1)}
       444:{1,3,5,6}:{(398,1),(401,1),(408,1),(429,1),(473,1),(480,1),(481,1),(486,1),(520,1),(528,1),(546,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(409,1),(430,1),(474,1),(481,1),(482,1),(523,1)}
       446:{3,6,7}:{(399,1),(400,1),(403,1)}
       447:{2,5,6,7}:{(400,1),(404,1),(411,1),(432,1),(483,1),(523,1)}
       448:{2,5}:{(401,1),(405,1)}
       449:{1,3,5,7}:{(401,1),(402,1),(406,1),(413,1),(477,1),(485,1),(486,1),(526,1)}
       450:{2,3,6}:{(402,1),(403,1),(414,1),(478,1),(486,1)}
       451:{3,5,6}:{(403,1),(404,1),(407,1),(487,1)}
       452:{2,3,6}:{(405,1),(415,1),(435,1),(484,1),(488,1),(520,1)}
       453:{2,4,7}:{(405,1),(406,1),(485,1),(488,1),(498,1)}
       454:{4,5,7}:{(407,1),(436,1),(487,1),(497,1),(499,1),(534,1)}
       455:{1,5,7}:{(408,1),(409,1),(437,1),(489,1)}
       456:{2,6,7}:{(409,1),(410,1),(414,1),(489,1)}
       457:{1,3,5}:{(412,1),(415,1),(418,1),(484,1),(490,1)}
       458:{1,2,5,7}:{(412,1),(413,1),(416,1),(419,1),(485,1),(491,1),(492,1)}
       459:{1,6}:{(413,1),(414,1)}
       460:{1,3,7}:{(415,1),(416,1),(422,1),(488,1)}
       461:{4,6,7}:{(417,1),(421,1),(438,1),(551,1)}
       462:{2,4}:{(418,1),(423,1),(490,1)}
       463:{2,3,5,7}:{(418,1),(419,1),(422,1),(424,1),(491,1),(493,1),(494,1),(533,1)}
       464:{2,6}:{(419,1),(420,1)}
       465:{3,4,7}:{(423,1),(424,1),(493,1),(495,1),(497,1)}
       466:{3,6}:{(424,1),(425,1)}
       467:{2,5,6}:{(425,1),(426,1),(428,1),(496,1),(533,1)}
       468:{3,5,7}:{(427,1),(428,1),(496,1),(497,1)}
       469:{2,6}:{(429,1),(433,1),(498,1)}
       470:{1,3,7}:{(429,1),(430,1),(437,1),(498,1)}
       471:{3,5,7}:{(431,1),(432,1),(434,1),(499,1)}
       472:{4,6}:{(434,1),(436,1),(499,1)}
       473:{1,4,6}:{(439,1),(441,1),(444,1),(500,1),(501,1),(550,1)}
       474:{2,4,7}:{(439,1),(440,1),(445,1),(501,1)}
       475:{3,4,6,7}:{(440,1),(443,1),(446,1),(502,1),(503,1),(511,1)}
       476:{2,4,5}:{(441,1),(448,1),(500,1),(504,1),(512,1)}
       477:{1,4,5,7}:{(441,1),(442,1),(449,1),(501,1),(505,1),(506,1),(515,1),(537,1),(542,1)}
       478:{2,4,6}:{(442,1),(443,1),(450,1),(506,1),(507,1)}
       479:{3,5,6}:{(443,1),(503,1),(507,1),(508,1),(518,1)}
       480:{2,5,6}:{(444,1),(448,1),(469,1),(500,1),(509,1),(514,1)}
       481:{1,3,5,7}:{(444,1),(445,1),(455,1),(470,1),(501,1),(509,1),(510,1),(535,1),(537,1),(548,1)}
       482:{2,3,6,7}:{(445,1),(446,1),(450,1),(456,1),(502,1),(510,1)}
       483:{3,5,6,7}:{(446,1),(447,1),(451,1),(471,1),(503,1),(511,1)}
       484:{2,3,5}:{(448,1),(452,1),(457,1),(504,1),(512,1)}
       485:{2,5,7}:{(448,1),(449,1),(453,1),(514,1)}
       486:{1,3,6}:{(449,1),(450,1),(459,1),(506,1),(514,1),(539,1)}
       487:{4,6}:{(451,1),(454,1)}
       488:{2,3,7}:{(452,1),(453,1),(460,1),(535,1)}
       489:{1,6,7}:{(455,1),(456,1),(459,1)}
       490:{1,4}:{(457,1),(462,1),(512,1)}
       491:{1,3,5,7}:{(457,1),(458,1),(460,1),(463,1),(513,1),(515,1),(516,1),(542,1)}
       492:{1,2,6}:{(458,1),(459,1),(464,1),(514,1),(516,1)}
       493:{2,4,7}:{(462,1),(463,1),(465,1),(515,1),(517,1)}
       494:{2,3,6}:{(463,1),(464,1),(466,1),(516,1),(517,1)}
       495:{3,4,6}:{(465,1),(466,1),(517,1),(518,1),(519,1)}
       496:{3,5,6}:{(466,1),(467,1),(468,1),(518,1),(519,1)}
       497:{4,7}:{(468,1),(519,1)}
       498:{2,7}:{(469,1),(470,1)}
       499:{4,7}:{(471,1),(472,1)}
       500:{2,4,6}:{(473,1),(476,1),(480,1),(520,1),(521,1)}
       501:{1,4,7}:{(473,1),(474,1),(481,1),(521,1),(551,1)}
       502:{2,4,6,7}:{(474,1),(475,1),(478,1),(482,1),(522,1),(523,1)}
       503:{3,5,7}:{(475,1),(479,1),(523,1),(524,1)}
       504:{3,5}:{(476,1),(520,1),(525,1)}
       505:{2,4,5,7}:{(476,1),(477,1),(485,1),(521,1),(526,1),(527,1),(530,1),(544,1),(547,1),(551,1),(552,1)}
       506:{1,4,6}:{(477,1),(478,1),(486,1),(527,1),(528,1)}
       507:{2,5,6}:{(478,1),(479,1),(523,1),(528,1),(533,1)}
       508:{4,5,6}:{(479,1),(487,1),(524,1),(534,1)}
       509:{2,5,7}:{(480,1),(481,1),(498,1),(521,1),(529,1)}
       510:{1,3,6,7}:{(481,1),(482,1),(486,1),(489,1),(522,1),(529,1),(543,1)}
       511:{4,6,7}:{(483,1),(487,1),(499,1),(524,1)}
       512:{2,4}:{(484,1),(490,1),(525,1)}
       513:{2,3,5,7}:{(484,1),(485,1),(488,1),(491,1),(526,1),(530,1),(531,1),(547,1)}
       514:{2,6}:{(485,1),(486,1)}
       515:{1,4,7}:{(490,1),(491,1),(493,1),(530,1),(532,1)}
       516:{1,3,6}:{(491,1),(492,1),(494,1),(531,1),(532,1)}
       517:{2,4,6}:{(493,1),(494,1),(495,1),(532,1),(533,1)}
       518:{3,5}:{(495,1),(533,1),(534,1)}
       519:{4,6}:{(496,1),(497,1),(534,1)}
       520:{3,6}:{(500,1),(504,1),(535,1)}
       521:{2,4,7}:{(500,1),(501,1),(509,1),(535,1)}
       522:{1,4,6,7}:{(501,1),(502,1),(506,1),(510,1),(536,1),(537,1)}
       523:{2,5,7}:{(502,1),(503,1),(507,1),(537,1)}
       524:{4,5,7}:{(503,1),(508,1),(511,1)}
       525:{3,4}:{(504,1),(512,1)}
       526:{3,5,7}:{(504,1),(505,1),(535,1),(538,1),(539,1),(549,1)}
       527:{2,4,6}:{(505,1),(506,1),(514,1),(539,1),(540,1),(550,1)}
       528:{1,5,6}:{(506,1),(507,1),(537,1),(540,1),(542,1)}
       529:{2,6,7}:{(509,1),(510,1),(514,1)}
       530:{2,4,7}:{(512,1),(513,1),(515,1),(538,1),(541,1)}
       531:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(518,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{3,7}:{(520,1),(521,1)}
       536:{2,4,6,7}:{(521,1),(522,1),(527,1),(529,1),(543,1),(544,1),(551,1)}
       537:{1,5,7}:{(522,1),(523,1),(528,1),(544,1)}
       538:{3,4,7}:{(525,1),(526,1),(530,1),(545,1),(551,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{2,5,6}:{(527,1),(528,1),(544,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{3,6,7}:{(535,1),(536,1),(539,1),(548,1)}
       544:{2,5,7}:{(536,1),(537,1),(540,1),(548,1)}
       545:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       546:{3,5,6}:{(539,1),(540,1),(548,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(549,1)}
       548:{3,5,7}:{(543,1),(544,1),(546,1),(551,1)}
       549:{3,5}:{(545,1),(547,1),(552,1)}
       550:{4,6}:{(546,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 729 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 730 :   0:{1,2,6,7}:{(3,1),(5,1),(155,1),(221,1),(303,1),(316,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(77,1),(132,1),(155,1),(217,1),(229,1),(234,1),(316,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(24,1),(27,1),(61,1),(77,1),(129,1),(145,1),(234,1),(240,1),(318,1)}
         3:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(112,1),(277,1),(351,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(45,1),(47,1),(112,1),(183,1),(187,1),(277,1),(279,1),(351,1),(401,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(113,1),(175,1),(262,1),(274,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(49,1),(93,1),(172,1),(260,1)}
         7:{1,3,5}:{(2,1),(13,1),(15,1),(16,1),(190,1),(284,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(20,1),(21,1),(149,1),(155,1),(232,1),(303,1),(323,1),(368,1)}
         9:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(69,1),(71,1),(77,1),(138,1),(142,1),(149,1),(155,1),(217,1),(232,1),(243,1),(302,1),(323,1),(381,1),(383,1)}
        10:{1,4,6,7}:{(3,1),(20,1),(23,1),(25,1),(75,1),(380,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(25,1),(28,1),(228,1),(233,1)}
        12:{1,4,6}:{(4,1),(22,1),(24,1),(25,1),(318,1)}
        13:{1,3,4}:{(7,1),(27,1),(318,1),(322,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(78,1),(133,1),(218,1),(301,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1),(29,1),(302,1)}
        16:{2,3,5}:{(7,1),(27,1),(29,1),(30,1),(77,1),(129,1),(154,1)}
        17:{1,3,4,5}:{(13,1),(32,1),(33,1),(47,1),(88,1),(105,1),(179,1),(194,1),(270,1),(284,1)}
        18:{1,3,6,7}:{(8,1),(34,1),(36,1),(37,1),(185,1),(200,1),(288,1)}
        19:{1,3,5,6}:{(9,1),(35,1),(37,1),(38,1),(52,1),(97,1),(98,1),(100,1),(114,1),(185,1),(200,1),(202,1),(288,1),(357,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(42,1),(106,1),(356,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(37,1),(40,1),(42,1),(51,1),(107,1),(113,1),(182,1),(186,1),(262,1),(337,1),(393,1)}
        22:{2,4,6}:{(9,1),(12,1),(38,1),(41,1),(42,1),(43,1),(287,1),(402,1)}
        23:{1,5,7}:{(10,1),(40,1),(45,1),(401,1)}
        24:{1,4,5}:{(12,1),(41,1),(47,1),(187,1),(401,1)}
        25:{1,4,7}:{(11,1),(12,1),(42,1)}
        26:{1,3,4,6}:{(12,1),(13,1),(15,1),(43,1),(47,1),(48,1),(49,1),(112,1)}
        27:{2,4}:{(13,1),(16,1),(50,1)}
        28:{1,3,7}:{(14,1),(15,1),(51,1),(337,1)}
        29:{2,3,6}:{(15,1),(16,1),(49,1),(51,1),(52,1),(172,1)}
        30:{1,3,5}:{(16,1),(50,1),(52,1),(53,1),(114,1),(117,1)}
        31:{1,4,5,6}:{(24,1),(54,1),(57,1),(58,1),(75,1),(208,1),(214,1),(310,1),(319,1),(375,1)}
        32:{1,3,4,6}:{(17,1),(58,1),(59,1),(60,1),(123,1),(128,1),(214,1),(302,1)}
        33:{2,4,5}:{(17,1),(27,1),(55,1),(60,1),(61,1),(77,1),(129,1),(220,1),(307,1)}
        34:{1,2,6,7}:{(18,1),(62,1),(232,1),(245,1),(294,1),(303,1)}
        35:{1,2,5,6}:{(19,1),(62,1),(63,1),(82,1),(142,1),(157,1),(208,1),(217,1),(232,1),(245,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(64,1),(66,1),(140,1),(325,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(62,1),(64,1),(66,1),(81,1),(137,1),(156,1)}
        38:{1,4,6}:{(19,1),(22,1),(65,1),(66,1),(247,1)}
        39:{3,4,6,7}:{(20,1),(68,1),(72,1),(146,1),(149,1),(368,1),(382,1),(411,1)}
        40:{2,5,7}:{(20,1),(23,1),(64,1),(68,1),(69,1),(383,1)}
        41:{2,4,5}:{(22,1),(24,1),(65,1),(71,1),(77,1),(142,1),(383,1),(415,1)}
        42:{2,4,7}:{(21,1),(22,1),(25,1),(66,1),(72,1),(411,1)}
        43:{3,4,6}:{(22,1),(71,1),(72,1),(149,1),(302,1),(322,1)}
        44:{2,3,4}:{(27,1),(55,1),(74,1),(154,1),(220,1),(322,1)}
        45:{1,5,6}:{(23,1),(69,1),(75,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(25,1),(70,1),(75,1),(76,1),(233,1)}
        47:{1,3,5}:{(24,1),(26,1),(71,1),(77,1)}
        48:{1,3,4,7}:{(25,1),(26,1),(28,1),(72,1),(76,1),(78,1)}
        49:{2,4,6}:{(26,1),(27,1),(29,1),(77,1),(78,1),(79,1),(155,1)}
        50:{1,4}:{(27,1),(30,1)}
        51:{2,3,7}:{(28,1),(29,1),(78,1),(81,1),(218,1)}
        52:{1,3,6}:{(29,1),(30,1),(79,1),(81,1),(82,1)}
        53:{1,2,5}:{(30,1),(80,1),(82,1),(129,1)}
        54:{2,4,5,6}:{(31,1),(41,1),(83,1),(85,1),(86,1),(91,1),(106,1),(163,1),(167,1),(191,1),(260,1),(281,1),(341,1),(353,1),(397,1),(402,1)}
        55:{2,3,5}:{(33,1),(44,1),(87,1),(88,1),(284,1)}
        56:{1,5,6,7}:{(45,1),(84,1),(89,1),(335,1),(398,1)}
        57:{1,4,5,7}:{(31,1),(85,1),(89,1),(90,1),(252,1),(259,1),(335,1)}
        58:{1,3,5,6}:{(31,1),(32,1),(47,1),(86,1),(90,1),(91,1),(112,1),(270,1),(345,1)}
        59:{1,3,4,7}:{(32,1),(90,1),(92,1),(166,1),(171,1),(259,1),(337,1)}
        60:{2,4,6}:{(32,1),(33,1),(87,1),(91,1),(92,1),(93,1),(172,1)}
        61:{1,4,5}:{(33,1),(50,1),(88,1),(93,1),(114,1),(256,1),(334,1)}
        62:{1,2,5,7}:{(34,1),(35,1),(37,1),(96,1),(118,1),(186,1),(252,1),(262,1)}
        63:{1,2,4,6}:{(35,1),(38,1),(95,1),(96,1),(97,1),(102,1),(250,1),(260,1),(327,1)}
        64:{1,5,7}:{(36,1),(40,1),(98,1),(357,1)}
        65:{1,4,5}:{(38,1),(41,1),(100,1),(114,1),(357,1)}
        66:{1,4,7}:{(37,1),(38,1),(42,1)}
        67:{1,3,4,6}:{(38,1),(43,1),(97,1),(100,1),(101,1),(102,1),(180,1),(185,1)}
        68:{3,5,7}:{(39,1),(40,1),(103,1),(104,1),(403,1)}
        69:{2,5,6}:{(40,1),(45,1),(98,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(99,1),(104,1),(106,1),(107,1),(113,1),(186,1)}
        71:{3,5}:{(41,1),(43,1)}
        72:{3,4,7}:{(42,1),(43,1),(107,1),(337,1)}
        73:{2,3,4,6}:{(43,1),(44,1),(49,1),(87,1),(102,1),(108,1),(109,1),(110,1),(167,1),(195,1),(199,1),(248,1),(265,1),(271,1),(287,1),(338,1),(356,1),(387,1)}
        74:{1,3,4}:{(44,1),(50,1),(88,1),(111,1),(117,1),(190,1),(256,1)}
        75:{1,4,6}:{(45,1),(46,1),(106,1),(112,1),(277,1)}
        76:{1,3,5,7}:{(46,1),(47,1),(48,1),(107,1),(112,1),(113,1)}
        77:{2,5}:{(47,1),(49,1),(114,1)}
        78:{2,4,7}:{(48,1),(49,1),(51,1),(113,1),(115,1)}
        79:{1,4,6}:{(49,1),(50,1),(52,1),(114,1),(115,1),(200,1)}
        80:{1,2,4}:{(50,1),(53,1),(111,1),(117,1)}
        81:{1,3,7}:{(51,1),(52,1),(115,1),(118,1)}
        82:{1,2,6}:{(52,1),(53,1),(118,1),(172,1)}
        83:{1,4,5,6}:{(54,1),(65,1),(120,1),(121,1),(132,1),(140,1),(214,1),(319,1),(365,1),(410,1)}
        84:{2,5,6,7}:{(56,1),(69,1),(119,1),(122,1),(124,1),(299,1),(367,1),(414,1)}
        85:{2,4,5,7}:{(54,1),(57,1),(120,1),(124,1),(125,1),(131,1),(207,1),(211,1),(213,1),(299,1),(301,1),(367,1),(411,1)}
        86:{3,5,6}:{(54,1),(71,1),(123,1),(125,1),(149,1),(302,1),(370,1),(413,1)}
        87:{2,3,6}:{(55,1),(60,1),(127,1),(128,1),(302,1)}
        88:{1,3,5}:{(55,1),(61,1),(74,1),(128,1),(129,1)}
        89:{1,4,6,7}:{(56,1),(57,1),(75,1),(124,1),(130,1),(294,1),(375,1)}
        90:{1,3,5,7}:{(57,1),(58,1),(59,1),(125,1),(130,1),(131,1)}
        91:{2,5,6}:{(58,1),(60,1),(77,1),(131,1),(132,1),(155,1),(307,1),(373,1)}
        92:{2,4,7}:{(59,1),(60,1),(127,1),(131,1),(133,1),(218,1)}
        93:{1,4,6}:{(60,1),(61,1),(128,1),(132,1),(133,1)}
        94:{1,2,4,5}:{(61,1),(80,1),(129,1),(134,1),(135,1),(157,1),(220,1),(240,1),(247,1),(307,1),(310,1)}
        95:{1,2,4,5}:{(63,1),(65,1),(136,1),(142,1),(157,1),(226,1),(231,1),(240,1),(247,1),(314,1),(376,1)}
        96:{1,2,4,7}:{(62,1),(63,1),(66,1),(137,1),(143,1),(292,1),(301,1),(359,1)}
        97:{1,3,6}:{(63,1),(136,1),(137,1),(138,1),(302,1)}
        98:{1,5,6}:{(64,1),(69,1),(140,1)}
        99:{1,4,5,7}:{(64,1),(65,1),(66,1),(70,1),(140,1),(141,1),(156,1)}
       100:{1,3,5}:{(65,1),(67,1),(71,1),(142,1)}
       101:{1,3,4,7}:{(66,1),(67,1),(72,1),(137,1),(141,1),(143,1)}
       102:{2,4,6}:{(67,1),(138,1),(142,1),(143,1),(144,1),(226,1),(232,1)}
       103:{3,5,6}:{(68,1),(69,1),(146,1),(149,1)}
       104:{4,5,7}:{(68,1),(146,1),(411,1),(415,1)}
       105:{3,4,5}:{(71,1),(123,1),(148,1),(322,1),(370,1),(415,1)}
       106:{2,4,6}:{(69,1),(70,1),(75,1),(140,1),(146,1),(149,1),(155,1),(232,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(149,1)}
       108:{2,3,5}:{(71,1),(73,1),(77,1),(142,1),(148,1),(151,1),(307,1),(370,1),(383,1),(407,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(78,1),(127,1),(143,1),(150,1),(152,1),(213,1),(244,1),(290,1),(306,1),(324,1),(369,1),(406,1)}
       110:{1,3,4,6}:{(73,1),(74,1),(79,1),(128,1),(144,1),(151,1),(152,1),(153,1),(159,1),(214,1),(236,1),(241,1),(247,1),(291,1),(298,1),(302,1),(312,1),(318,1),(322,1),(325,1),(380,1),(382,1),(405,1)}
       111:{2,4}:{(74,1),(129,1),(154,1)}
       112:{1,3,6}:{(75,1),(76,1),(149,1),(155,1)}
       113:{2,5,7}:{(76,1),(77,1),(78,1),(155,1),(156,1)}
       114:{1,5}:{(77,1),(79,1)}
       115:{1,4,7}:{(78,1),(79,1),(81,1),(156,1)}
       116:{1,2,4,6}:{(79,1),(80,1),(82,1),(153,1),(157,1),(158,1),(159,1),(245,1),(247,1),(325,1),(358,1),(376,1),(405,1)}
       117:{1,3}:{(80,1),(154,1)}
       118:{1,2,7}:{(81,1),(82,1),(218,1)}
       119:{1,5,6,7}:{(84,1),(98,1),(161,1),(335,1),(420,1)}
       120:{1,4,5,7}:{(83,1),(85,1),(161,1),(162,1),(175,1),(259,1),(335,1)}
       121:{1,3,5,6}:{(83,1),(86,1),(100,1),(160,1),(162,1),(163,1),(185,1),(389,1),(419,1)}
       122:{3,5,6,7}:{(84,1),(103,1),(165,1),(168,1),(257,1),(393,1),(422,1)}
       123:{3,4,6}:{(86,1),(105,1),(166,1),(167,1),(402,1)}
       124:{2,4,6,7}:{(84,1),(85,1),(89,1),(106,1),(161,1),(165,1),(168,1),(174,1),(251,1),(397,1)}
       125:{3,5,7}:{(85,1),(86,1),(166,1),(168,1),(337,1)}
       126:{2,3,5,6}:{(86,1),(87,1),(91,1),(108,1),(163,1),(167,1),(169,1),(170,1),(195,1),(248,1),(281,1)}
       127:{2,3,7}:{(87,1),(92,1),(171,1),(337,1)}
       128:{1,3,6}:{(87,1),(88,1),(93,1),(171,1),(172,1)}
       129:{2,5}:{(88,1),(111,1),(172,1)}
       130:{1,3,6,7}:{(89,1),(90,1),(112,1),(168,1),(174,1),(345,1)}
       131:{2,5,7}:{(90,1),(91,1),(92,1),(174,1),(175,1)}
       132:{1,5,6}:{(91,1),(93,1),(114,1),(175,1),(200,1),(334,1),(392,1)}
       133:{1,4,7}:{(92,1),(93,1),(171,1),(175,1)}
       134:{1,2,4,6}:{(93,1),(94,1),(172,1),(176,1),(177,1),(178,1),(260,1),(265,1),(268,1)}
       135:{1,3,5}:{(94,1),(117,1),(173,1),(178,1),(179,1),(284,1)}
       136:{1,3,5}:{(95,1),(97,1),(180,1),(181,1),(284,1),(399,1)}
       137:{1,3,7}:{(96,1),(97,1),(182,1),(337,1)}
       138:{2,3,6}:{(97,1),(102,1),(181,1),(182,1),(183,1),(327,1)}
       139:{1,3,4,5}:{(100,1),(105,1),(160,1),(180,1),(184,1),(194,1),(275,1),(284,1),(350,1),(389,1)}
       140:{1,4,6}:{(98,1),(99,1),(106,1),(185,1),(200,1)}
       141:{1,3,5,7}:{(99,1),(100,1),(101,1),(107,1),(185,1),(186,1)}
       142:{2,5}:{(100,1),(102,1),(187,1)}
       143:{2,4,7}:{(101,1),(102,1),(182,1),(186,1),(188,1)}
       144:{1,4,6}:{(102,1),(183,1),(187,1),(188,1),(272,1),(277,1)}
       145:{1,2,4}:{(111,1),(164,1),(190,1),(256,1)}
       146:{4,6}:{(103,1),(104,1)}
       147:{3,4,5,7}:{(104,1),(105,1),(107,1),(166,1),(192,1),(193,1),(257,1),(355,1),(395,1),(403,1),(421,1)}
       148:{2,4,5}:{(105,1),(108,1),(167,1),(194,1),(287,1)}
       149:{3,6}:{(106,1),(107,1)}
       150:{2,3,5,7}:{(107,1),(108,1),(109,1),(113,1),(186,1),(193,1),(195,1),(196,1),(342,1),(395,1),(418,1)}
       151:{1,3,5}:{(108,1),(110,1),(114,1),(187,1),(194,1),(197,1),(284,1),(334,1),(357,1),(401,1),(403,1),(417,1)}
       152:{1,3,4,7}:{(109,1),(110,1),(115,1),(171,1),(188,1),(196,1),(198,1),(203,1),(259,1),(280,1),(289,1),(326,1),(333,1),(337,1),(352,1),(355,1),(416,1)}
       153:{2,4,6}:{(110,1),(111,1),(172,1),(197,1),(198,1),(199,1),(285,1),(287,1),(327,1),(346,1)}
       154:{2,3}:{(111,1),(117,1),(190,1)}
       155:{2,6}:{(112,1),(113,1),(200,1)}
       156:{1,5,7}:{(113,1),(114,1),(115,1),(200,1)}
       157:{1,2,5}:{(114,1),(116,1),(197,1),(202,1),(357,1),(417,1)}
       158:{1,2,4,7}:{(115,1),(116,1),(118,1),(198,1),(201,1),(203,1),(289,1),(384,1),(416,1)}
       159:{1,3,6}:{(116,1),(117,1),(199,1),(202,1),(203,1),(399,1)}
       160:{1,3,4,6}:{(121,1),(123,1),(139,1),(204,1),(205,1),(214,1),(291,1),(302,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(206,1),(221,1),(410,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(125,1),(204,1),(206,1),(207,1)}
       163:{2,5,6}:{(121,1),(142,1),(205,1),(207,1),(208,1),(232,1),(407,1),(424,1)}
       164:{1,2,5}:{(129,1),(145,1),(209,1),(210,1)}
       165:{4,6,7}:{(122,1),(146,1),(211,1),(411,1),(425,1)}
       166:{3,4,7}:{(123,1),(125,1),(213,1),(411,1)}
       167:{2,4,6}:{(123,1),(126,1),(148,1),(213,1),(214,1)}
       168:{3,6,7}:{(124,1),(125,1),(149,1),(413,1)}
       169:{2,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(207,1),(213,1),(215,1),(216,1),(290,1),(299,1)}
       170:{1,3,5,6}:{(126,1),(128,1),(132,1),(151,1),(208,1),(214,1),(216,1),(217,1),(241,1),(291,1),(302,1),(319,1),(381,1)}
       171:{1,3,7}:{(127,1),(128,1),(133,1),(218,1)}
       172:{2,6}:{(128,1),(129,1),(218,1)}
       173:{2,3,5}:{(129,1),(135,1),(154,1),(210,1),(219,1),(220,1),(307,1)}
       174:{2,6,7}:{(130,1),(131,1),(155,1),(221,1),(373,1)}
       175:{1,5,7}:{(131,1),(132,1),(133,1),(221,1)}
       176:{1,2,5,6}:{(132,1),(134,1),(157,1),(217,1),(222,1),(223,1),(245,1),(307,1),(358,1),(373,1)}
       177:{1,2,4,7}:{(133,1),(134,1),(218,1),(222,1),(224,1),(301,1),(306,1),(309,1)}
       178:{1,3,6}:{(134,1),(135,1),(219,1),(224,1),(302,1)}
       179:{1,3,4}:{(135,1),(220,1),(247,1),(322,1)}
       180:{1,3,4}:{(136,1),(226,1),(247,1),(322,1)}
       181:{2,3,5}:{(136,1),(138,1),(142,1),(226,1),(227,1),(314,1),(377,1)}
       182:{2,3,7}:{(137,1),(138,1),(143,1),(228,1),(359,1)}
       183:{1,3,6}:{(138,1),(144,1),(227,1),(228,1),(229,1)}
       184:{2,4,5}:{(139,1),(142,1),(205,1),(226,1),(230,1),(231,1),(314,1),(379,1),(407,1)}
       185:{1,3,6}:{(140,1),(141,1),(149,1),(232,1)}
       186:{2,5,7}:{(141,1),(142,1),(143,1),(232,1),(233,1)}
       187:{1,5}:{(142,1),(144,1)}
       188:{1,4,7}:{(143,1),(144,1),(228,1),(233,1)}
       189:{1,2,4,6}:{(144,1),(145,1),(153,1),(209,1),(229,1),(234,1),(235,1),(236,1),(298,1),(313,1),(316,1),(318,1),(380,1)}
       190:{1,3}:{(145,1),(154,1)}
       191:{4,5,6}:{(146,1),(211,1),(237,1),(415,1),(425,1)}
       192:{3,4,6}:{(146,1),(147,1),(149,1),(237,1),(238,1),(413,1),(425,1)}
       193:{2,4,5,7}:{(147,1),(148,1),(150,1),(213,1),(238,1),(239,1),(299,1),(324,1),(383,1)}
       194:{1,4,5}:{(148,1),(151,1),(214,1),(240,1),(247,1),(318,1),(415,1)}
       195:{2,3,6}:{(149,1),(150,1),(155,1),(232,1),(238,1),(241,1),(373,1),(413,1),(424,1)}
       196:{1,3,5,7}:{(150,1),(151,1),(152,1),(156,1),(233,1),(239,1),(241,1),(242,1),(321,1),(366,1),(423,1)}
       197:{2,5}:{(151,1),(153,1)}
       198:{2,4,7}:{(152,1),(153,1),(218,1),(242,1),(244,1),(359,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(236,1),(243,1),(244,1),(302,1),(377,1)}
       200:{1,6}:{(155,1),(156,1)}
       201:{1,2,5,7}:{(156,1),(157,1),(158,1),(242,1),(245,1),(246,1),(423,1)}
       202:{1,3,5}:{(157,1),(159,1),(243,1),(247,1)}
       203:{1,3,7}:{(158,1),(159,1),(244,1)}
       204:{1,3,4,7}:{(160,1),(162,1),(166,1),(249,1),(259,1),(326,1),(337,1)}
       205:{2,4,6}:{(160,1),(163,1),(184,1),(248,1),(249,1),(250,1),(327,1)}
       206:{1,3,6,7}:{(161,1),(162,1),(168,1),(185,1),(251,1),(419,1)}
       207:{2,5,7}:{(162,1),(163,1),(249,1),(251,1),(252,1)}
       208:{1,5,6}:{(163,1),(187,1),(250,1),(252,1),(277,1),(417,1),(426,1)}
       209:{1,2,6}:{(164,1),(172,1),(254,1),(255,1)}
       210:{1,3,5}:{(164,1),(173,1),(190,1),(255,1),(256,1),(334,1)}
       211:{4,5,7}:{(165,1),(191,1),(257,1)}
       212:{3,4,6,7}:{(165,1),(166,1),(168,1),(192,1),(257,1),(258,1)}
       213:{2,4,7}:{(166,1),(167,1),(169,1),(259,1)}
       214:{1,4,6}:{(167,1),(170,1),(194,1),(259,1),(260,1),(402,1)}
       215:{2,3,6,7}:{(168,1),(169,1),(174,1),(195,1),(251,1),(258,1),(261,1)}
       216:{1,3,5,7}:{(169,1),(170,1),(171,1),(175,1),(252,1),(259,1),(261,1),(262,1),(326,1),(335,1),(337,1),(393,1)}
       217:{2,5,6}:{(170,1),(172,1),(197,1),(260,1),(262,1),(285,1),(327,1)}
       218:{2,7}:{(171,1),(172,1)}
       219:{2,3,6}:{(172,1),(173,1),(178,1),(255,1),(264,1),(265,1)}
       220:{2,4}:{(173,1),(179,1),(256,1)}
       221:{1,6,7}:{(174,1),(175,1),(200,1),(392,1)}
       222:{1,2,5,7}:{(175,1),(176,1),(177,1),(262,1),(266,1),(267,1),(342,1),(384,1)}
       223:{1,3,5,6}:{(176,1),(178,1),(202,1),(263,1),(267,1),(268,1),(270,1),(288,1),(345,1),(357,1),(385,1),(398,1),(417,1),(426,1)}
       224:{1,3,7}:{(177,1),(178,1),(264,1),(337,1)}
       225:{1,3,4,6}:{(178,1),(179,1),(265,1),(268,1),(269,1),(270,1),(338,1),(345,1)}
       226:{2,4}:{(180,1),(181,1),(272,1)}
       227:{1,3,5}:{(181,1),(183,1),(187,1),(272,1),(273,1),(347,1)}
       228:{1,3,7}:{(182,1),(183,1),(188,1),(274,1)}
       229:{1,2,6}:{(183,1),(273,1),(274,1),(327,1)}
       230:{2,3,5}:{(184,1),(248,1),(271,1),(275,1),(284,1)}
       231:{1,4,5}:{(184,1),(187,1),(250,1),(272,1),(275,1),(400,1),(417,1)}
       232:{2,6}:{(185,1),(186,1),(277,1)}
       233:{1,5,7}:{(186,1),(187,1),(188,1),(277,1)}
       234:{1,2,5}:{(187,1),(189,1),(197,1),(279,1),(334,1),(401,1)}
       235:{1,2,4,7}:{(188,1),(189,1),(198,1),(254,1),(274,1),(278,1),(280,1),(333,1),(352,1)}
       236:{1,3,6}:{(189,1),(190,1),(199,1),(279,1),(280,1),(347,1)}
       237:{3,5,6}:{(191,1),(192,1),(257,1),(281,1),(403,1)}
       238:{2,4,6}:{(192,1),(193,1),(195,1),(281,1),(282,1)}
       239:{1,4,5,7}:{(193,1),(194,1),(196,1),(259,1),(282,1),(283,1),(289,1),(335,1),(352,1),(357,1),(401,1)}
       240:{2,4,5}:{(194,1),(197,1),(260,1),(284,1),(287,1)}
       241:{1,3,6}:{(195,1),(196,1),(200,1),(277,1),(282,1),(285,1),(354,1),(392,1),(426,1)}
       242:{2,5,7}:{(196,1),(197,1),(198,1),(285,1)}
       243:{2,3,5}:{(197,1),(199,1),(202,1),(279,1),(284,1),(287,1)}
       244:{2,3,7}:{(198,1),(199,1),(203,1),(280,1),(337,1)}
       245:{1,2,6}:{(200,1),(201,1),(285,1),(288,1),(426,1)}
       246:{1,3,5,7}:{(201,1),(202,1),(203,1),(286,1),(288,1),(289,1),(357,1)}
       247:{1,4}:{(202,1),(287,1)}
       248:{2,3,6}:{(205,1),(230,1),(290,1),(291,1),(302,1)}
       249:{2,4,7}:{(204,1),(205,1),(207,1),(290,1),(292,1),(359,1)}
       250:{1,4,6}:{(205,1),(208,1),(231,1),(291,1),(292,1)}
       251:{2,6,7}:{(206,1),(207,1),(232,1),(294,1),(424,1)}
       252:{1,5,7}:{(207,1),(208,1),(292,1),(294,1)}
       253:{1,2,5,6}:{(208,1),(209,1),(217,1),(234,1),(293,1),(295,1),(296,1),(316,1),(407,1),(424,1)}
       254:{1,2,7}:{(209,1),(218,1),(297,1)}
       255:{1,3,6}:{(209,1),(210,1),(219,1),(297,1),(298,1)}
       256:{1,4}:{(210,1),(220,1)}
       257:{3,5,7}:{(211,1),(212,1),(237,1),(299,1)}
       258:{2,4,6,7}:{(212,1),(213,1),(215,1),(238,1),(299,1),(300,1)}
       259:{1,4,7}:{(213,1),(214,1),(216,1),(301,1),(411,1)}
       260:{2,4,6}:{(214,1),(217,1),(240,1),(301,1),(302,1)}
       261:{1,3,6,7}:{(215,1),(216,1),(221,1),(241,1),(294,1),(300,1),(303,1),(368,1)}
       262:{2,5,7}:{(216,1),(217,1),(218,1),(301,1),(303,1),(359,1)}
       263:{2,3,5,6}:{(217,1),(219,1),(223,1),(243,1),(296,1),(302,1),(304,1),(305,1),(307,1),(323,1),(360,1),(370,1),(373,1),(381,1),(383,1),(407,1),(413,1),(414,1),(424,1)}
       264:{2,3,7}:{(218,1),(219,1),(224,1),(297,1),(306,1)}
       265:{2,4,6}:{(219,1),(220,1),(225,1),(298,1),(306,1),(307,1),(373,1)}
       266:{1,2,6,7}:{(221,1),(222,1),(245,1),(303,1),(308,1),(373,1)}
       267:{1,3,5,7}:{(222,1),(223,1),(224,1),(304,1),(308,1),(309,1),(374,1),(404,1),(423,1)}
       268:{1,4,6}:{(223,1),(247,1),(305,1),(309,1),(310,1)}
       269:{1,3,4,7}:{(224,1),(225,1),(306,1),(309,1),(311,1),(369,1)}
       270:{1,3,5}:{(225,1),(307,1),(310,1),(370,1)}
       271:{2,3,4}:{(226,1),(230,1),(312,1),(322,1),(377,1),(379,1)}
       272:{1,4}:{(226,1),(227,1)}
       273:{1,2,5}:{(227,1),(229,1),(313,1),(314,1)}
       274:{1,2,7}:{(228,1),(229,1),(359,1)}
       275:{1,3,5}:{(230,1),(231,1),(291,1),(312,1),(314,1)}
       276:{1,2,4,5}:{(231,1),(234,1),(240,1),(293,1),(313,1),(314,1),(315,1),(318,1),(365,1),(379,1),(407,1)}
       277:{1,6}:{(232,1),(233,1)}
       278:{1,2,5,7}:{(233,1),(234,1),(235,1),(242,1),(316,1),(317,1),(366,1)}
       279:{1,3,5}:{(234,1),(236,1),(243,1),(318,1)}
       280:{1,3,7}:{(235,1),(236,1),(244,1)}
       281:{2,5,6}:{(237,1),(238,1),(299,1),(319,1),(383,1)}
       282:{1,4,6}:{(238,1),(239,1),(241,1),(319,1),(320,1)}
       283:{2,4,5,7}:{(239,1),(240,1),(242,1),(301,1),(320,1),(321,1),(324,1),(367,1),(383,1),(411,1),(415,1)}
       284:{3,5}:{(240,1),(302,1),(322,1)}
       285:{2,6}:{(241,1),(242,1)}
       286:{2,3,5,7}:{(242,1),(243,1),(244,1),(246,1),(317,1),(321,1),(323,1),(324,1),(383,1)}
       287:{2,4}:{(243,1),(247,1),(318,1),(322,1)}
       288:{1,3,6}:{(245,1),(246,1),(323,1),(325,1)}
       289:{1,4,7}:{(246,1),(247,1),(324,1),(325,1)}
       290:{2,3,7}:{(248,1),(249,1),(326,1),(337,1)}
       291:{1,3,6}:{(248,1),(250,1),(275,1),(326,1),(327,1)}
       292:{1,4,7}:{(249,1),(250,1),(252,1),(326,1)}
       293:{1,2,4,6}:{(250,1),(253,1),(260,1),(276,1),(327,1),(328,1),(329,1),(332,1),(387,1)}
       294:{1,6,7}:{(251,1),(252,1),(277,1),(426,1)}
       295:{1,2,5,7}:{(252,1),(253,1),(254,1),(262,1),(328,1),(330,1),(331,1),(418,1)}
       296:{1,3,5,6}:{(253,1),(255,1),(263,1),(279,1),(329,1),(331,1),(332,1),(334,1),(351,1),(389,1),(392,1),(401,1),(419,1),(420,1)}
       297:{1,3,7}:{(254,1),(255,1),(264,1),(333,1)}
       298:{1,4,6}:{(255,1),(256,1),(265,1),(333,1),(334,1),(392,1)}
       299:{2,5,7}:{(257,1),(258,1),(281,1),(335,1)}
       300:{1,4,6,7}:{(258,1),(259,1),(261,1),(282,1),(335,1),(336,1)}
       301:{2,4,7}:{(259,1),(260,1),(262,1),(337,1)}
       302:{3,6}:{(260,1),(284,1),(337,1)}
       303:{2,6,7}:{(261,1),(262,1),(285,1)}
       304:{2,3,5,7}:{(262,1),(263,1),(264,1),(267,1),(331,1),(337,1),(339,1),(340,1),(342,1),(386,1),(393,1),(395,1),(396,1),(418,1)}
       305:{2,4,6}:{(263,1),(268,1),(287,1),(332,1),(338,1),(340,1),(341,1),(402,1)}
       306:{2,4,7}:{(264,1),(265,1),(269,1),(333,1),(342,1)}
       307:{2,5}:{(265,1),(270,1),(334,1)}
       308:{1,3,6,7}:{(266,1),(267,1),(288,1),(339,1),(343,1),(345,1),(426,1)}
       309:{1,4,7}:{(267,1),(268,1),(340,1)}
       310:{1,4,5}:{(268,1),(270,1),(341,1),(357,1),(417,1)}
       311:{1,3,5,7}:{(269,1),(270,1),(342,1),(344,1),(345,1),(395,1)}
       312:{1,3,4}:{(271,1),(272,1),(275,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(272,1),(273,1),(346,1),(347,1)}
       314:{2,5}:{(275,1),(327,1),(346,1)}
       315:{1,3,5}:{(276,1),(284,1),(329,1),(347,1),(349,1),(350,1)}
       316:{1,2,6}:{(277,1),(278,1),(285,1),(351,1),(392,1)}
       317:{1,3,5,7}:{(278,1),(279,1),(280,1),(286,1),(351,1),(352,1),(401,1)}
       318:{1,4}:{(279,1),(287,1)}
       319:{1,5,6}:{(281,1),(282,1),(335,1),(353,1),(357,1),(401,1)}
       320:{2,4,6}:{(282,1),(283,1),(285,1),(353,1),(354,1),(402,1)}
       321:{3,5,7}:{(283,1),(284,1),(337,1),(354,1),(355,1),(403,1)}
       322:{3,4}:{(284,1),(287,1)}
       323:{2,3,6}:{(285,1),(286,1),(288,1),(351,1),(354,1),(356,1)}
       324:{2,4,7}:{(286,1),(287,1),(289,1),(352,1),(355,1),(356,1)}
       325:{1,4,6}:{(288,1),(289,1),(356,1),(357,1)}
       326:{1,3,7}:{(290,1),(291,1),(292,1),(359,1)}
       327:{2,6}:{(291,1),(314,1),(359,1)}
       328:{1,2,4,7}:{(292,1),(293,1),(295,1),(301,1),(359,1),(361,1),(364,1),(406,1)}
       329:{1,3,6}:{(293,1),(302,1),(315,1),(360,1),(361,1)}
       330:{1,2,6,7}:{(294,1),(295,1),(303,1),(316,1),(363,1),(424,1)}
       331:{1,3,5,7}:{(295,1),(296,1),(297,1),(304,1),(361,1),(363,1),(364,1),(366,1),(409,1)}
       332:{1,4,6}:{(296,1),(305,1),(318,1),(364,1),(365,1)}
       333:{1,4,7}:{(297,1),(298,1),(306,1),(366,1)}
       334:{1,5}:{(298,1),(307,1)}
       335:{1,5,7}:{(299,1),(300,1),(319,1),(367,1)}
       336:{2,4,6,7}:{(300,1),(301,1),(303,1),(320,1),(367,1),(368,1),(411,1)}
       337:{3,7}:{(301,1),(302,1)}
       338:{3,4,6}:{(302,1),(305,1),(322,1),(369,1),(370,1),(413,1)}
       339:{2,3,6,7}:{(303,1),(304,1),(308,1),(323,1),(363,1),(368,1),(371,1),(373,1),(413,1),(424,1)}
       340:{2,4,7}:{(304,1),(305,1),(309,1),(364,1),(369,1),(411,1)}
       341:{2,4,5}:{(305,1),(307,1),(310,1),(365,1),(370,1),(383,1),(407,1),(415,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,6,7}:{(308,1),(309,1),(325,1),(371,1),(374,1),(375,1)}
       344:{1,4,5,7}:{(309,1),(310,1),(311,1),(372,1),(374,1),(375,1),(423,1)}
       345:{1,3,6}:{(311,1),(373,1),(375,1),(413,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(360,1),(377,1),(378,1),(379,1),(407,1)}
       350:{1,3,4}:{(315,1),(318,1),(322,1),(379,1)}
       351:{1,3,6}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,4,7}:{(317,1),(318,1),(324,1),(380,1)}
       353:{2,5,6}:{(319,1),(320,1),(367,1),(381,1),(383,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(382,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(382,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(327,1),(348,1),(384,1),(385,1)}
       359:{2,7}:{(326,1),(327,1)}
       360:{2,3,6}:{(327,1),(329,1),(349,1),(385,1),(386,1),(387,1)}
       361:{1,3,7}:{(328,1),(329,1),(337,1),(386,1)}
       362:{1,3,4,6}:{(329,1),(332,1),(338,1),(350,1),(387,1),(388,1),(389,1),(419,1)}
       363:{1,3,6,7}:{(330,1),(331,1),(339,1),(351,1),(390,1),(392,1),(419,1)}
       364:{1,4,7}:{(331,1),(332,1),(340,1)}
       365:{1,4,5}:{(332,1),(334,1),(341,1),(389,1),(401,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{2,5,7}:{(335,1),(336,1),(353,1),(393,1)}
       368:{3,6,7}:{(336,1),(337,1),(354,1),(393,1)}
       369:{3,4,7}:{(337,1),(338,1),(340,1),(395,1)}
       370:{3,5}:{(338,1),(341,1)}
       371:{2,4,6,7}:{(339,1),(340,1),(343,1),(356,1),(390,1),(394,1),(396,1),(397,1)}
       372:{2,4,5,7}:{(340,1),(341,1),(342,1),(344,1),(391,1),(395,1),(396,1),(397,1),(418,1),(421,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,5,7}:{(343,1),(357,1),(396,1),(398,1)}
       375:{1,4,6}:{(344,1),(345,1),(397,1),(398,1),(426,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(385,1),(399,1),(400,1),(417,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,5,6}:{(353,1),(354,1),(393,1),(402,1),(403,1)}
       382:{3,4,6}:{(354,1),(355,1),(356,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(403,1)}
       384:{1,2,7}:{(358,1),(359,1),(404,1)}
       385:{1,3,6}:{(358,1),(360,1),(378,1),(404,1),(405,1)}
       386:{2,3,7}:{(359,1),(360,1),(361,1),(404,1),(406,1)}
       387:{2,4,6}:{(360,1),(362,1),(379,1),(405,1),(406,1),(407,1),(424,1)}
       388:{1,3,4,7}:{(361,1),(362,1),(364,1),(369,1),(406,1),(408,1)}
       389:{1,3,5}:{(362,1),(365,1),(370,1),(407,1)}
       390:{1,4,6,7}:{(363,1),(364,1),(371,1),(380,1),(409,1),(410,1)}
       391:{1,4,5,7}:{(364,1),(365,1),(366,1),(372,1),(408,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(381,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(371,1),(382,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(372,1),(413,1)}
       396:{2,5,7}:{(371,1),(374,1),(383,1),(409,1),(412,1),(414,1)}
       397:{2,4,6}:{(372,1),(373,1),(375,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{4,6}:{(381,1),(411,1),(415,1)}
       403:{3,5}:{(382,1),(383,1),(415,1)}
       404:{1,3,7}:{(384,1),(385,1),(386,1),(416,1)}
       405:{1,4,6}:{(385,1),(387,1),(400,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(386,1),(387,1),(388,1),(416,1),(418,1)}
       407:{2,5}:{(387,1),(389,1),(417,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(391,1),(395,1),(418,1),(419,1)}
       409:{1,5,7}:{(390,1),(396,1),(401,1),(420,1)}
       410:{1,4,6}:{(391,1),(392,1),(397,1),(419,1),(420,1)}
       411:{4,7}:{(393,1),(402,1)}
       412:{3,5,7}:{(394,1),(396,1),(403,1),(421,1),(422,1)}
       413:{3,6}:{(395,1),(397,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(422,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 731 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(31,1),(40,1),(41,1),(44,1),(74,1),(85,1),(93,1),(157,1),(159,1),(211,1),(223,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(120,1),(129,1),(191,1),(194,1),(242,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(53,1),(107,1),(127,1),(181,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(223,1),(225,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(78,1),(139,1),(211,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(74,1),(86,1),(158,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(83,1),(90,1),(144,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(51,1),(62,1),(115,1),(124,1),(125,1),(129,1),(177,1),(178,1),(188,1),(194,1),(242,1),(250,1),(288,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(242,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(113,1),(176,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(107,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(191,1),(200,1),(203,1),(256,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(40,1),(74,1),(79,1),(89,1),(141,1),(142,1),(159,1),(211,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(75,1),(91,1),(145,1),(146,1),(162,1),(215,1),(274,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(100,1),(141,1),(142,1),(168,1),(225,1),(268,1),(269,1),(297,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(139,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(74,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(144,1),(158,1),(162,1),(166,1),(169,1),(215,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(129,1),(194,1),(197,1),(242,1),(288,1),(307,1)}
        30:{1,3,4,6,7}:{(17,1),(50,1),(51,1),(104,1),(111,1),(177,1),(178,1),(184,1),(242,1)}
        31:{1,4,5,7}:{(16,1),(20,1),(48,1),(53,1),(65,1),(113,1),(124,1),(172,1),(177,1),(237,1)}
        32:{2,4,6}:{(16,1),(17,1),(49,1),(53,1),(54,1),(107,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(51,1),(54,1),(55,1),(119,1),(188,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(48,1),(56,1),(57,1),(63,1),(120,1),(172,1),(177,1),(202,1),(242,1),(289,1),(308,1)}
        35:{2,3,4,6}:{(18,1),(21,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(179,1),(193,1),(245,1),(246,1),(254,1),(285,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(56,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(176,1),(197,1),(201,1),(242,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(107,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(193,1)}
        48:{1,3,5,7}:{(29,1),(31,1),(34,1),(74,1),(75,1),(88,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(32,1),(75,1),(162,1),(215,1),(228,1),(302,1),(312,1)}
        50:{2,4,6,7}:{(30,1),(32,1),(73,1),(78,1),(79,1),(139,1),(141,1),(211,1)}
        51:{1,3,5,7}:{(30,1),(33,1),(79,1),(80,1),(152,1)}
        52:{1,2,4,5,7}:{(31,1),(38,1),(74,1),(81,1),(82,1),(95,1),(142,1),(150,1),(159,1),(164,1),(211,1),(213,1),(219,1),(221,1),(267,1),(313,1)}
        53:{1,4,6}:{(31,1),(32,1),(75,1),(83,1)}
        54:{2,5,6}:{(32,1),(33,1),(40,1),(79,1),(83,1),(213,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(80,1),(84,1),(91,1),(145,1),(221,1),(222,1),(274,1)}
        56:{2,4,7}:{(34,1),(74,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(39,1),(75,1),(87,1),(88,1),(94,1),(145,1),(156,1),(164,1),(170,1),(206,1),(215,1),(223,1),(225,1),(272,1),(277,1),(300,1)}
        58:{2,3,5}:{(35,1),(40,1),(88,1),(89,1),(97,1),(166,1),(213,1),(271,1),(299,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(86,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(87,1),(94,1),(95,1),(164,1),(300,1),(301,1),(304,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(139,1),(228,1),(273,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(144,1),(166,1),(222,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(215,1),(225,1)}
        73:{2,3,6,7}:{(49,1),(50,1),(104,1),(105,1),(184,1),(242,1),(248,1)}
        74:{2,5,7}:{(48,1),(56,1),(107,1),(123,1)}
        75:{1,3,6}:{(48,1),(49,1),(53,1),(107,1),(256,1),(314,1)}
        76:{2,3,5,6}:{(49,1),(54,1),(58,1),(105,1),(108,1),(109,1),(119,1),(190,1),(246,1)}
        77:{1,3,5,6,7}:{(51,1),(59,1),(110,1),(111,1),(184,1),(249,1)}
        78:{1,4,6,7}:{(50,1),(53,1),(104,1),(113,1),(177,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1),(113,1)}
        80:{1,4,5,7}:{(51,1),(55,1),(111,1),(114,1),(177,1),(251,1)}
        81:{1,3,5,7}:{(52,1),(63,1),(106,1),(115,1),(116,1),(130,1),(188,1),(194,1),(242,1),(288,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(107,1),(116,1),(117,1),(179,1),(181,1),(189,1),(287,1),(314,1)}
        83:{1,5,6}:{(53,1),(54,1),(65,1),(113,1),(237,1)}
        84:{2,4,5,6}:{(54,1),(55,1),(66,1),(109,1),(114,1),(118,1),(119,1),(127,1),(181,1),(190,1),(244,1),(287,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(172,1),(202,1),(259,1)}
        86:{2,3,7}:{(56,1),(63,1),(120,1),(122,1),(242,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(65,1),(123,1),(124,1),(194,1),(200,1),(237,1),(310,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(122,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(123,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(176,1),(197,1),(251,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(242,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(181,1),(247,1),(290,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(74,1),(85,1),(137,1),(138,1),(157,1),(229,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(78,1),(139,1),(140,1),(273,1)}
       105:{2,3,5,7}:{(73,1),(76,1),(79,1),(140,1),(141,1),(152,1),(220,1),(269,1)}
       106:{2,3,5,7}:{(74,1),(81,1),(86,1),(137,1),(142,1),(143,1),(158,1),(213,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(83,1),(88,1),(140,1),(144,1),(145,1),(215,1),(222,1),(272,1)}
       109:{2,4,6}:{(76,1),(89,1),(141,1),(145,1),(146,1)}
       110:{2,5,6,7}:{(77,1),(79,1),(90,1),(147,1),(148,1),(266,1)}
       111:{1,4,6,7}:{(77,1),(80,1),(91,1),(148,1),(273,1),(274,1)}
       112:{1,2,4,6,7}:{(78,1),(82,1),(139,1),(149,1),(150,1),(209,1),(211,1),(219,1)}
       113:{1,5,7}:{(78,1),(79,1),(83,1)}
       114:{2,4,5,7}:{(79,1),(80,1),(84,1),(141,1),(148,1),(151,1),(152,1),(211,1),(220,1)}
       115:{1,3,4,7}:{(81,1),(142,1),(153,1),(164,1),(219,1),(225,1),(268,1)}
       116:{1,3,6}:{(81,1),(82,1),(143,1),(215,1),(302,1)}
       117:{1,2,5,6}:{(82,1),(83,1),(95,1),(144,1),(150,1),(154,1),(213,1),(266,1),(301,1)}
       118:{1,4,5,6}:{(83,1),(84,1),(96,1),(145,1),(151,1),(155,1),(161,1),(263,1),(295,1)}
       119:{3,5,6}:{(84,1),(97,1),(146,1),(152,1),(162,1),(215,1),(271,1),(302,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(206,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(94,1),(156,1),(158,1),(215,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(145,1),(159,1),(164,1),(223,1)}
       125:{3,4,5}:{(89,1),(97,1),(146,1),(225,1),(271,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(158,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(159,1),(164,1),(165,1),(166,1),(227,1),(230,1),(278,1),(304,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(211,1),(270,1),(303,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(215,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(106,1),(120,1),(172,1),(173,1),(191,1),(237,1)}
       138:{1,2,6}:{(103,1),(107,1),(173,1),(256,1)}
       139:{2,6,7}:{(104,1),(107,1),(176,1)}
       140:{1,3,5,7}:{(104,1),(105,1),(108,1),(113,1),(176,1),(177,1),(242,1),(251,1),(289,1)}
       141:{2,4,7}:{(105,1),(109,1),(177,1),(178,1)}
       142:{2,4,7}:{(106,1),(115,1),(172,1),(179,1),(193,1)}
       143:{2,3,6}:{(106,1),(107,1),(116,1),(173,1),(179,1)}
       144:{2,5,6}:{(107,1),(108,1),(123,1),(176,1),(181,1),(290,1)}
       145:{1,4,6}:{(108,1),(109,1),(124,1),(177,1),(181,1)}
       146:{3,4,6}:{(109,1),(119,1),(125,1),(178,1)}
       147:{1,5,6,7}:{(110,1),(113,1),(126,1),(183,1),(280,1)}
       148:{2,4,6,7}:{(110,1),(111,1),(114,1),(127,1),(183,1),(184,1),(248,1),(287,1)}
       149:{1,3,6,7}:{(112,1),(116,1),(175,1),(186,1),(242,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(117,1),(176,1),(186,1),(240,1),(309,1)}
       151:{1,4,5,7}:{(113,1),(114,1),(118,1),(177,1),(183,1),(187,1)}
       152:{3,5,7}:{(114,1),(119,1),(178,1),(184,1),(242,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(179,1),(188,1),(189,1),(245,1)}
       154:{1,3,5,6}:{(116,1),(117,1),(130,1),(180,1),(186,1),(188,1),(189,1),(286,1),(310,1),(314,1)}
       155:{1,3,5,6}:{(118,1),(119,1),(132,1),(182,1),(187,1),(190,1),(196,1),(284,1),(306,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(237,1)}
       158:{2,3,5}:{(122,1),(123,1),(130,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(181,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(132,1),(182,1),(194,1),(195,1),(198,1),(252,1),(255,1),(284,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(193,1)}
       165:{1,3,5}:{(131,1),(135,1),(194,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(242,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(290,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(139,1),(204,1),(205,1),(273,1),(312,1)}
       172:{1,4,7}:{(137,1),(142,1),(206,1),(223,1)}
       173:{1,3,6}:{(137,1),(138,1),(143,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(144,1),(157,1),(205,1),(207,1),(208,1),(222,1),(299,1),(312,1)}
       175:{2,3,6,7}:{(139,1),(143,1),(149,1),(204,1),(209,1),(210,1),(302,1),(312,1)}
       176:{2,5,7}:{(139,1),(140,1),(144,1),(211,1),(303,1)}
       177:{1,4,7}:{(140,1),(141,1),(145,1),(211,1)}
       178:{3,4,7}:{(141,1),(146,1),(152,1)}
       179:{2,4,6}:{(142,1),(143,1),(153,1),(206,1),(213,1)}
       180:{2,3,5,6}:{(143,1),(144,1),(154,1),(158,1),(207,1),(210,1),(213,1),(214,1),(215,1),(265,1),(266,1),(271,1),(299,1),(302,1),(312,1)}
       181:{2,4,6}:{(144,1),(145,1),(159,1),(211,1),(215,1)}
       182:{1,3,4,6}:{(145,1),(146,1),(155,1),(160,1),(212,1),(215,1),(216,1),(272,1)}
       183:{1,4,6,7}:{(147,1),(148,1),(151,1),(161,1),(217,1),(295,1)}
       184:{3,6,7}:{(148,1),(152,1),(162,1),(302,1)}
       185:{1,3,4,6,7}:{(149,1),(153,1),(209,1),(218,1),(219,1),(268,1),(274,1),(302,1)}
       186:{1,3,5,7}:{(149,1),(150,1),(154,1),(210,1),(219,1),(298,1),(313,1)}
       187:{1,3,5,7}:{(151,1),(152,1),(155,1),(212,1),(217,1),(220,1)}
       188:{1,3,5}:{(153,1),(213,1),(221,1),(271,1)}
       189:{1,4,6}:{(154,1),(164,1),(214,1),(219,1),(221,1)}
       190:{2,5,6}:{(155,1),(166,1),(216,1),(220,1),(222,1),(228,1),(299,1),(312,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(263,1),(275,1),(278,1),(279,1),(299,1)}
       193:{2,4}:{(158,1),(164,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(215,1),(225,1)}
       195:{2,4,5}:{(160,1),(166,1),(216,1),(226,1),(227,1),(230,1),(275,1),(278,1),(299,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(225,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(278,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(175,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(176,1),(235,1),(236,1),(251,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(179,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(180,1),(191,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(181,1),(192,1),(236,1),(238,1),(239,1),(247,1),(285,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(179,1),(185,1),(234,1),(240,1),(241,1),(287,1)}
       210:{2,3,5,7}:{(175,1),(176,1),(180,1),(186,1),(235,1),(240,1),(241,1),(242,1),(283,1),(288,1),(307,1)}
       211:{2,4,7}:{(176,1),(177,1),(181,1),(242,1)}
       212:{1,3,4,7}:{(177,1),(178,1),(182,1),(187,1),(242,1),(243,1),(289,1)}
       213:{2,5}:{(179,1),(188,1),(237,1)}
       214:{2,4,6}:{(180,1),(189,1),(193,1),(238,1),(241,1),(244,1),(245,1)}
       215:{3,6}:{(181,1),(194,1),(242,1)}
       216:{2,4,6}:{(182,1),(190,1),(195,1),(243,1),(246,1),(247,1),(290,1)}
       217:{1,3,6,7}:{(183,1),(184,1),(187,1),(196,1),(248,1),(306,1)}
       218:{1,3,5,7}:{(185,1),(188,1),(240,1),(249,1),(250,1),(288,1)}
       219:{1,4,7}:{(186,1),(189,1),(241,1)}
       220:{2,5,7}:{(187,1),(190,1),(243,1),(248,1),(251,1)}
       221:{1,4,5}:{(188,1),(189,1),(244,1),(310,1)}
       222:{1,5,6}:{(190,1),(200,1),(247,1),(251,1),(256,1),(310,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(246,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(257,1),(291,1),(310,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(209,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(210,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(211,1),(261,1),(262,1),(270,1),(297,1),(303,1)}
       237:{1,5}:{(206,1),(213,1)}
       238:{1,4,6}:{(207,1),(214,1),(223,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(215,1),(224,1),(262,1),(265,1)}
       240:{2,5,7}:{(209,1),(213,1),(218,1),(260,1),(266,1)}
       241:{2,4,7}:{(210,1),(214,1),(219,1),(261,1),(268,1)}
       242:{3,7}:{(211,1),(215,1)}
       243:{2,4,7}:{(212,1),(216,1),(220,1),(269,1),(270,1),(303,1)}
       244:{2,4,5}:{(213,1),(214,1),(221,1),(263,1),(271,1),(299,1)}
       245:{3,4,6}:{(214,1),(215,1),(225,1),(268,1),(271,1),(302,1)}
       246:{2,3,6}:{(215,1),(216,1),(226,1),(269,1),(272,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(270,1),(272,1)}
       248:{2,6,7}:{(217,1),(220,1),(228,1),(273,1),(312,1)}
       249:{1,3,5,6}:{(218,1),(266,1),(274,1),(302,1)}
       250:{1,4,5,7}:{(218,1),(219,1),(221,1),(267,1),(274,1),(313,1)}
       251:{1,5,7}:{(220,1),(222,1),(270,1),(273,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(299,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(230,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(272,1),(277,1),(278,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(278,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(237,1),(240,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(241,1)}
       262:{1,3,7}:{(236,1),(239,1),(242,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(244,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(245,1),(252,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(253,1),(283,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(249,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(244,1),(250,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       269:{2,3,7}:{(242,1),(243,1),(246,1),(289,1)}
       270:{1,4,7}:{(243,1),(247,1),(251,1),(289,1)}
       271:{3,5}:{(244,1),(245,1)}
       272:{1,3,6}:{(246,1),(247,1),(255,1),(289,1),(290,1)}
       273:{1,6,7}:{(248,1),(251,1),(256,1),(314,1)}
       274:{1,4,6}:{(249,1),(250,1),(287,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(257,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(267,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(268,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(303,1)}
       284:{1,3,5}:{(263,1),(264,1),(271,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(275,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(276,1),(298,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(274,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(271,1),(302,1)}
       289:{1,3,7}:{(269,1),(270,1),(272,1),(303,1)}
       290:{2,6}:{(272,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(288,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(291,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(309,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(303,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 732 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 733 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 734 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 735 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 736 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 737 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 738 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(32,1),(39,1),(41,1),(47,1),(73,1),(74,1),(95,1),(140,1),(150,1),(209,1),(215,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(104,1),(132,1),(175,1),(186,1),(246,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(54,1),(107,1),(131,1),(181,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(209,1),(219,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(74,1),(78,1),(149,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(216,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(84,1),(143,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(85,1),(94,1),(140,1),(144,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(57,1),(66,1),(114,1),(115,1),(116,1),(132,1),(182,1),(184,1),(186,1),(189,1),(246,1),(253,1),(290,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(107,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(246,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(175,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(120,1),(180,1),(259,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(102,1),(141,1),(147,1),(169,1),(219,1),(271,1),(272,1),(298,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(39,1),(74,1),(81,1),(86,1),(141,1),(147,1),(150,1),(212,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(33,1),(35,1),(75,1),(97,1),(146,1),(148,1),(166,1),(216,1),(277,1),(303,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(74,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(143,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(144,1),(149,1),(165,1),(166,1),(168,1),(216,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(132,1),(186,1),(199,1),(246,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(19,1),(48,1),(50,1),(51,1),(59,1),(104,1),(171,1),(182,1),(203,1),(246,1),(291,1),(309,1)}
        31:{2,3,4,6}:{(16,1),(20,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(177,1),(185,1),(245,1),(247,1),(250,1),(284,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(48,1),(54,1),(62,1),(114,1),(120,1),(171,1),(182,1),(235,1)}
        33:{2,4,6}:{(17,1),(18,1),(49,1),(54,1),(56,1),(107,1)}
        34:{1,3,4,6,7}:{(18,1),(55,1),(57,1),(108,1),(125,1),(182,1),(184,1),(195,1),(246,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(56,1),(57,1),(58,1),(124,1),(189,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(50,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(107,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(180,1),(199,1),(201,1),(246,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(185,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(74,1),(75,1),(80,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(33,1),(75,1),(166,1),(216,1),(230,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(74,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(37,1),(75,1),(79,1),(80,1),(90,1),(139,1),(146,1),(161,1),(170,1),(204,1),(209,1),(216,1),(219,1),(273,1),(275,1),(299,1)}
        52:{2,3,5}:{(31,1),(39,1),(80,1),(81,1),(96,1),(165,1),(212,1),(270,1),(297,1)}
        53:{1,2,4,5,7}:{(32,1),(36,1),(74,1),(82,1),(83,1),(91,1),(141,1),(150,1),(155,1),(161,1),(212,1),(215,1),(223,1),(224,1),(269,1),(313,1)}
        54:{1,4,6}:{(32,1),(33,1),(75,1),(85,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(76,1),(84,1),(86,1),(143,1),(147,1),(215,1)}
        56:{2,5,6}:{(33,1),(35,1),(39,1),(85,1),(86,1),(212,1)}
        57:{1,3,5,7}:{(34,1),(35,1),(86,1),(89,1),(160,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(87,1),(89,1),(97,1),(146,1),(223,1),(227,1),(277,1)}
        59:{1,3,7}:{(36,1),(78,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(79,1),(90,1),(91,1),(161,1),(299,1),(301,1),(302,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(143,1),(230,1),(278,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(144,1),(165,1),(227,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(216,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(171,1),(203,1),(259,1)}
        74:{2,5,7}:{(48,1),(50,1),(107,1),(113,1)}
        75:{1,3,6}:{(48,1),(49,1),(54,1),(107,1),(258,1),(314,1)}
        76:{2,3,6,7}:{(49,1),(55,1),(108,1),(110,1),(195,1),(246,1),(254,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(56,1),(109,1),(110,1),(111,1),(124,1),(194,1),(247,1)}
        78:{2,3,7}:{(50,1),(59,1),(104,1),(112,1),(246,1)}
        79:{2,4,6}:{(50,1),(51,1),(107,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(62,1),(113,1),(114,1),(186,1),(200,1),(235,1),(308,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,7}:{(53,1),(59,1),(106,1),(116,1),(117,1),(126,1),(186,1),(189,1),(246,1),(290,1)}
        83:{1,2,4,6}:{(53,1),(54,1),(107,1),(117,1),(119,1),(177,1),(181,1),(191,1),(289,1),(314,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(108,1),(120,1),(182,1)}
        85:{1,5,6}:{(54,1),(56,1),(62,1),(120,1),(235,1)}
        86:{2,5,7}:{(55,1),(56,1),(57,1),(120,1)}
        87:{2,4,5,6}:{(56,1),(58,1),(64,1),(111,1),(121,1),(123,1),(124,1),(131,1),(181,1),(194,1),(243,1),(289,1)}
        88:{1,3,5,6,7}:{(57,1),(65,1),(122,1),(125,1),(195,1),(252,1)}
        89:{1,4,5,7}:{(57,1),(58,1),(123,1),(125,1),(182,1),(255,1)}
        90:{1,3,6}:{(59,1),(60,1),(112,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(113,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(180,1),(199,1),(255,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(181,1),(249,1),(292,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(246,1)}
       103:{1,2,5,7}:{(73,1),(74,1),(137,1),(138,1),(140,1),(231,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(204,1),(209,1),(233,1),(279,1)}
       106:{2,3,5,7}:{(74,1),(78,1),(82,1),(137,1),(141,1),(142,1),(149,1),(212,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,6,7}:{(75,1),(76,1),(84,1),(143,1),(145,1),(278,1)}
       109:{1,3,5,6}:{(75,1),(77,1),(80,1),(85,1),(144,1),(145,1),(146,1),(216,1),(227,1),(273,1)}
       110:{2,3,5,7}:{(76,1),(77,1),(86,1),(145,1),(147,1),(160,1),(226,1),(272,1)}
       111:{2,4,6}:{(77,1),(81,1),(146,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(90,1),(139,1),(149,1),(216,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(146,1),(150,1),(161,1),(209,1)}
       115:{3,4,5}:{(81,1),(96,1),(148,1),(219,1),(270,1)}
       116:{1,3,4,7}:{(82,1),(141,1),(152,1),(161,1),(219,1),(224,1),(271,1)}
       117:{1,3,6}:{(82,1),(83,1),(142,1),(216,1),(303,1)}
       118:{1,2,4,6,7}:{(83,1),(84,1),(143,1),(153,1),(155,1),(211,1),(215,1),(224,1)}
       119:{1,2,5,6}:{(83,1),(85,1),(91,1),(144,1),(154,1),(155,1),(212,1),(268,1),(301,1)}
       120:{1,5,7}:{(84,1),(85,1),(86,1)}
       121:{1,4,5,6}:{(85,1),(87,1),(93,1),(146,1),(157,1),(158,1),(163,1),(261,1),(295,1)}
       122:{2,5,6,7}:{(86,1),(88,1),(94,1),(156,1),(159,1),(268,1)}
       123:{2,4,5,7}:{(86,1),(87,1),(89,1),(147,1),(157,1),(159,1),(160,1),(215,1),(226,1)}
       124:{3,5,6}:{(87,1),(96,1),(148,1),(160,1),(166,1),(216,1),(270,1),(303,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(97,1),(159,1),(277,1),(278,1)}
       126:{1,3,5}:{(90,1),(91,1),(149,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(150,1),(161,1),(162,1),(165,1),(221,1),(228,1),(276,1),(302,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(215,1),(274,1),(304,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(216,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(106,1),(171,1),(172,1),(175,1),(235,1)}
       138:{1,2,6}:{(103,1),(107,1),(172,1),(258,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(235,1)}
       141:{2,4,7}:{(106,1),(116,1),(171,1),(177,1),(185,1)}
       142:{2,3,6}:{(106,1),(107,1),(117,1),(172,1),(177,1)}
       143:{2,6,7}:{(107,1),(108,1),(180,1)}
       144:{2,5,6}:{(107,1),(109,1),(113,1),(180,1),(181,1),(292,1)}
       145:{1,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(180,1),(182,1),(246,1),(255,1),(291,1)}
       146:{1,4,6}:{(109,1),(111,1),(114,1),(181,1),(182,1)}
       147:{2,4,7}:{(110,1),(111,1),(182,1),(184,1)}
       148:{3,4,6}:{(111,1),(115,1),(124,1),(184,1)}
       149:{2,3,5}:{(112,1),(113,1),(126,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(181,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(130,1),(183,1),(186,1),(187,1),(196,1),(240,1),(251,1),(282,1)}
       152:{1,3,4,6}:{(116,1),(117,1),(177,1),(189,1),(191,1),(245,1)}
       153:{1,3,6,7}:{(117,1),(118,1),(178,1),(190,1),(246,1),(314,1)}
       154:{1,3,5,6}:{(117,1),(119,1),(126,1),(179,1),(189,1),(190,1),(191,1),(286,1),(308,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(120,1),(180,1),(190,1),(242,1),(310,1)}
       156:{1,5,6,7}:{(120,1),(122,1),(128,1),(192,1),(280,1)}
       157:{1,4,5,7}:{(120,1),(121,1),(123,1),(182,1),(192,1),(193,1)}
       158:{1,3,5,6}:{(121,1),(124,1),(130,1),(183,1),(193,1),(194,1),(198,1),(282,1),(306,1)}
       159:{2,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(192,1),(195,1),(254,1),(289,1)}
       160:{3,5,7}:{(123,1),(124,1),(184,1),(195,1),(246,1)}
       161:{1,4}:{(126,1),(185,1)}
       162:{1,3,5}:{(127,1),(134,1),(186,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(246,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(292,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(141,1),(204,1),(209,1)}
       172:{1,3,6}:{(137,1),(138,1),(142,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(143,1),(205,1),(207,1),(278,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(144,1),(206,1),(207,1),(208,1),(227,1),(297,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(261,1),(266,1),(276,1),(279,1),(297,1)}
       177:{2,4,6}:{(141,1),(142,1),(152,1),(204,1),(212,1)}
       178:{2,3,6,7}:{(142,1),(143,1),(153,1),(205,1),(211,1),(213,1),(303,1),(312,1)}
       179:{2,3,5,6}:{(142,1),(144,1),(149,1),(154,1),(206,1),(212,1),(213,1),(214,1),(216,1),(265,1),(268,1),(270,1),(297,1),(303,1),(312,1)}
       180:{2,5,7}:{(143,1),(144,1),(145,1),(215,1),(304,1)}
       181:{2,4,6}:{(144,1),(146,1),(150,1),(215,1),(216,1)}
       182:{1,4,7}:{(145,1),(146,1),(147,1),(215,1)}
       183:{1,3,4,6}:{(146,1),(148,1),(151,1),(158,1),(216,1),(217,1),(218,1),(273,1)}
       184:{3,4,7}:{(147,1),(148,1),(160,1)}
       185:{2,4}:{(149,1),(161,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(216,1),(219,1)}
       187:{2,4,5}:{(151,1),(165,1),(218,1),(220,1),(221,1),(228,1),(266,1),(276,1),(297,1)}
       188:{1,3,4,6,7}:{(152,1),(153,1),(211,1),(222,1),(224,1),(271,1),(277,1),(303,1)}
       189:{1,3,5}:{(152,1),(212,1),(223,1),(270,1)}
       190:{1,3,5,7}:{(153,1),(154,1),(155,1),(213,1),(224,1),(300,1),(313,1)}
       191:{1,4,6}:{(154,1),(161,1),(214,1),(223,1),(224,1)}
       192:{1,4,6,7}:{(156,1),(157,1),(159,1),(163,1),(225,1),(295,1)}
       193:{1,3,5,7}:{(157,1),(158,1),(160,1),(217,1),(225,1),(226,1)}
       194:{2,5,6}:{(158,1),(165,1),(218,1),(226,1),(227,1),(230,1),(297,1),(312,1)}
       195:{3,6,7}:{(159,1),(160,1),(166,1),(303,1)}
       196:{1,3,4}:{(161,1),(162,1),(219,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(276,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(177,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(178,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(175,1),(179,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(180,1),(236,1),(238,1),(255,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(181,1),(237,1),(238,1),(239,1),(249,1),(284,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(178,1),(188,1),(234,1),(242,1),(244,1),(289,1)}
       212:{2,5}:{(177,1),(189,1),(235,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(180,1),(190,1),(236,1),(242,1),(244,1),(246,1),(285,1),(290,1),(307,1)}
       214:{2,4,6}:{(179,1),(185,1),(191,1),(237,1),(243,1),(244,1),(245,1)}
       215:{2,4,7}:{(180,1),(181,1),(182,1),(246,1)}
       216:{3,6}:{(181,1),(186,1),(246,1)}
       217:{1,3,4,7}:{(182,1),(183,1),(184,1),(193,1),(246,1),(248,1),(291,1)}
       218:{2,4,6}:{(183,1),(187,1),(194,1),(247,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(247,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(256,1),(287,1),(308,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(242,1),(252,1),(253,1),(290,1)}
       223:{1,4,5}:{(189,1),(191,1),(243,1),(308,1)}
       224:{1,4,7}:{(190,1),(191,1),(244,1)}
       225:{1,3,6,7}:{(192,1),(193,1),(195,1),(198,1),(254,1),(306,1)}
       226:{2,5,7}:{(193,1),(194,1),(248,1),(254,1),(255,1)}
       227:{1,5,6}:{(194,1),(200,1),(249,1),(255,1),(258,1),(308,1),(314,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(211,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(212,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(213,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(209,1),(214,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(215,1),(262,1),(264,1),(274,1),(298,1),(304,1)}
       239:{1,3,6}:{(208,1),(210,1),(216,1),(264,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(297,1),(305,1)}
       242:{2,5,7}:{(211,1),(212,1),(222,1),(260,1),(268,1)}
       243:{2,4,5}:{(212,1),(214,1),(223,1),(261,1),(270,1),(297,1)}
       244:{2,4,7}:{(213,1),(214,1),(224,1),(262,1),(271,1)}
       245:{3,4,6}:{(214,1),(216,1),(219,1),(270,1),(271,1),(303,1)}
       246:{3,7}:{(215,1),(216,1)}
       247:{2,3,6}:{(216,1),(218,1),(220,1),(272,1),(273,1)}
       248:{2,4,7}:{(217,1),(218,1),(226,1),(272,1),(274,1),(304,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(273,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(228,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(273,1),(275,1),(276,1)}
       252:{1,3,5,6}:{(222,1),(268,1),(277,1),(303,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(224,1),(269,1),(277,1),(313,1)}
       254:{2,6,7}:{(225,1),(226,1),(230,1),(278,1),(312,1)}
       255:{1,5,7}:{(226,1),(227,1),(274,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(276,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(235,1),(242,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(243,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(244,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(240,1),(245,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(246,1),(285,1)}
       265:{2,3,6}:{(239,1),(241,1),(284,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(308,1),(311,1)}
       268:{2,5,6}:{(242,1),(252,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(244,1),(253,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,5}:{(243,1),(245,1)}
       271:{3,4,7}:{(244,1),(245,1),(246,1),(290,1)}
       272:{2,3,7}:{(246,1),(247,1),(248,1),(291,1)}
       273:{1,3,6}:{(247,1),(249,1),(251,1),(291,1),(292,1)}
       274:{1,4,7}:{(248,1),(249,1),(255,1),(291,1)}
       275:{1,3,4}:{(250,1),(251,1),(256,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,4,6}:{(252,1),(253,1),(289,1),(314,1)}
       278:{1,6,7}:{(254,1),(255,1),(258,1),(314,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(269,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(270,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(271,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(266,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(304,1)}
       286:{1,3,6}:{(265,1),(267,1),(299,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(277,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(271,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(274,1),(304,1)}
       292:{2,6}:{(273,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(290,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(310,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(304,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 739 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(72,1),(130,1),(149,1),(158,1),(217,1),(227,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(21,1),(25,1),(71,1),(72,1),(127,1),(138,1),(217,1),(234,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(11,1),(43,1),(89,1),(112,1),(113,1),(167,1),(262,1),(264,1),(343,1),(395,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(11,1),(12,1),(45,1),(107,1),(184,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(111,1),(177,1),(198,1),(273,1)}
         5:{1,3,5}:{(1,1),(10,1),(11,1),(14,1),(173,1),(278,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(79,1),(121,1),(156,1),(209,1),(219,1),(227,1),(250,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(26,1),(57,1),(61,1),(72,1),(121,1),(143,1),(144,1),(158,1),(219,1),(227,1),(238,1),(309,1),(324,1),(381,1),(382,1)}
         8:{1,4,6}:{(2,1),(18,1),(21,1),(23,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(27,1),(77,1),(131,1),(218,1)}
        10:{1,3,4}:{(5,1),(25,1),(304,1),(319,1)}
        11:{1,3,6}:{(3,1),(5,1),(26,1),(27,1),(309,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(27,1),(76,1),(154,1),(232,1),(310,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(158,1),(245,1),(306,1),(316,1)}
        14:{2,3,5}:{(5,1),(25,1),(26,1),(28,1),(72,1),(138,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(29,1),(30,1),(32,1),(49,1),(82,1),(110,1),(169,1),(170,1),(203,1),(205,1),(292,1),(360,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(31,1),(32,1),(33,1),(84,1),(252,1),(268,1),(330,1)}
        17:{1,2,5,7}:{(6,1),(30,1),(33,1),(34,1),(117,1),(168,1),(255,1),(273,1)}
        18:{2,4,6}:{(7,1),(8,1),(29,1),(35,1),(36,1),(37,1),(283,1),(402,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(30,1),(37,1),(38,1),(50,1),(90,1),(97,1),(102,1),(111,1),(168,1),(273,1),(346,1),(398,1)}
        20:{1,3,4,5}:{(10,1),(41,1),(42,1),(43,1),(94,1),(95,1),(187,1),(202,1),(278,1),(289,1)}
        21:{1,4,5}:{(8,1),(35,1),(43,1),(167,1),(395,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(11,1),(36,1),(43,1),(45,1),(46,1),(112,1)}
        23:{1,4,7}:{(8,1),(9,1),(37,1)}
        24:{1,3,6,7}:{(9,1),(13,1),(38,1),(47,1),(112,1),(264,1),(343,1)}
        25:{2,4}:{(10,1),(14,1),(48,1)}
        26:{2,3,6}:{(11,1),(14,1),(45,1),(49,1),(50,1),(184,1)}
        27:{1,3,7}:{(11,1),(12,1),(50,1),(346,1)}
        28:{1,3,5}:{(14,1),(48,1),(49,1),(51,1),(110,1),(116,1)}
        29:{1,4,6}:{(15,1),(18,1),(52,1),(54,1),(248,1)}
        30:{1,3,5,7}:{(15,1),(17,1),(19,1),(54,1),(55,1),(58,1),(80,1),(126,1),(157,1)}
        31:{1,2,4,5}:{(16,1),(52,1),(56,1),(121,1),(128,1),(156,1),(216,1),(234,1),(248,1),(302,1),(307,1)}
        32:{1,3,6}:{(16,1),(56,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(54,1),(58,1),(125,1),(296,1),(310,1),(363,1)}
        34:{1,2,6,7}:{(17,1),(55,1),(219,1),(250,1),(299,1),(316,1)}
        35:{2,4,5}:{(18,1),(21,1),(52,1),(61,1),(72,1),(121,1),(382,1),(415,1)}
        36:{3,4,6}:{(18,1),(61,1),(64,1),(143,1),(309,1),(319,1)}
        37:{2,4,7}:{(18,1),(19,1),(23,1),(54,1),(64,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(24,1),(55,1),(65,1),(143,1),(158,1),(219,1),(316,1),(324,1),(375,1)}
        39:{2,3,4}:{(25,1),(60,1),(66,1),(148,1),(233,1),(319,1)}
        40:{1,4,5,6}:{(21,1),(59,1),(67,1),(68,1),(74,1),(209,1),(224,1),(322,1),(325,1),(383,1)}
        41:{1,3,4,6}:{(20,1),(67,1),(69,1),(70,1),(132,1),(136,1),(224,1),(309,1)}
        42:{2,4,5}:{(20,1),(25,1),(60,1),(69,1),(71,1),(72,1),(138,1),(233,1),(317,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(72,1)}
        44:{1,4,5,7}:{(21,1),(23,1),(62,1),(73,1),(74,1),(77,1),(218,1)}
        45:{2,4,6}:{(22,1),(25,1),(26,1),(72,1),(75,1),(76,1),(158,1)}
        46:{1,3,4,7}:{(22,1),(23,1),(27,1),(64,1),(73,1),(76,1)}
        47:{1,4,6,7}:{(23,1),(24,1),(65,1),(74,1),(77,1),(372,1)}
        48:{1,4}:{(25,1),(28,1)}
        49:{1,3,6}:{(26,1),(28,1),(75,1),(79,1),(80,1)}
        50:{2,3,7}:{(26,1),(27,1),(76,1),(80,1),(232,1)}
        51:{1,2,5}:{(28,1),(78,1),(79,1),(138,1)}
        52:{1,4,5}:{(29,1),(35,1),(82,1),(110,1),(360,1)}
        53:{1,3,4,6}:{(29,1),(32,1),(36,1),(82,1),(84,1),(85,1),(87,1),(169,1)}
        54:{1,4,7}:{(29,1),(30,1),(37,1)}
        55:{1,3,6,7}:{(30,1),(34,1),(38,1),(86,1),(169,1),(205,1),(292,1)}
        56:{1,3,5}:{(31,1),(32,1),(87,1),(88,1),(278,1),(344,1)}
        57:{2,3,6}:{(32,1),(84,1),(88,1),(89,1),(90,1),(330,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(81,1),(91,1),(92,1),(98,1),(104,1),(162,1),(178,1),(268,1),(281,1),(282,1),(349,1),(355,1),(399,1),(402,1)}
        60:{2,3,5}:{(39,1),(42,1),(93,1),(94,1),(278,1)}
        61:{3,5}:{(35,1),(36,1)}
        62:{2,4,5,7}:{(35,1),(37,1),(44,1),(83,1),(97,1),(98,1),(102,1),(111,1),(168,1),(196,1)}
        63:{2,3,4,6}:{(36,1),(39,1),(45,1),(84,1),(93,1),(96,1),(99,1),(100,1),(174,1),(178,1),(192,1),(194,1),(251,1),(276,1),(283,1),(345,1),(356,1),(387,1)}
        64:{3,4,7}:{(36,1),(37,1),(97,1),(346,1)}
        65:{2,4,6,7}:{(37,1),(38,1),(47,1),(86,1),(98,1),(101,1),(102,1),(356,1)}
        66:{1,3,4}:{(39,1),(48,1),(94,1),(103,1),(116,1),(173,1),(259,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(43,1),(91,1),(104,1),(105,1),(112,1),(289,1),(359,1)}
        68:{1,4,5,7}:{(40,1),(92,1),(105,1),(106,1),(255,1),(269,1),(348,1)}
        69:{2,4,6}:{(41,1),(42,1),(93,1),(104,1),(107,1),(108,1),(184,1)}
        70:{1,3,4,7}:{(41,1),(105,1),(108,1),(179,1),(185,1),(269,1),(346,1)}
        71:{1,4,5}:{(42,1),(48,1),(94,1),(107,1),(110,1),(259,1),(337,1)}
        72:{2,5}:{(43,1),(45,1),(110,1)}
        73:{1,3,5,7}:{(43,1),(44,1),(46,1),(97,1),(111,1),(112,1)}
        74:{1,4,6}:{(44,1),(98,1),(112,1),(113,1),(264,1)}
        75:{1,4,6}:{(45,1),(48,1),(49,1),(110,1),(115,1),(205,1)}
        76:{2,4,7}:{(45,1),(46,1),(50,1),(111,1),(115,1)}
        77:{1,5,7}:{(47,1),(102,1),(113,1),(395,1)}
        78:{1,2,4}:{(48,1),(51,1),(103,1),(116,1)}
        79:{1,2,6}:{(49,1),(51,1),(117,1),(184,1)}
        80:{1,3,7}:{(49,1),(50,1),(115,1),(117,1)}
        81:{1,4,5,6}:{(52,1),(59,1),(118,1),(119,1),(123,1),(149,1),(224,1),(322,1),(366,1),(409,1)}
        82:{1,3,5}:{(52,1),(53,1),(61,1),(121,1)}
        83:{1,4,5,7}:{(52,1),(54,1),(62,1),(122,1),(123,1),(126,1),(157,1)}
        84:{2,4,6}:{(53,1),(57,1),(121,1),(124,1),(125,1),(128,1),(219,1)}
        85:{1,3,4,7}:{(53,1),(54,1),(58,1),(64,1),(122,1),(125,1)}
        86:{1,4,6,7}:{(54,1),(55,1),(65,1),(123,1),(126,1),(329,1)}
        87:{1,3,4}:{(56,1),(128,1),(248,1),(319,1)}
        88:{2,3,5}:{(56,1),(57,1),(121,1),(128,1),(129,1),(302,1),(308,1)}
        89:{1,3,6}:{(57,1),(124,1),(129,1),(130,1),(131,1)}
        90:{2,3,7}:{(57,1),(58,1),(125,1),(131,1),(363,1)}
        91:{3,5,6}:{(59,1),(61,1),(132,1),(134,1),(143,1),(309,1),(373,1),(411,1)}
        92:{2,4,5,7}:{(59,1),(68,1),(119,1),(134,1),(135,1),(150,1),(210,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        93:{2,3,6}:{(60,1),(69,1),(136,1),(137,1),(309,1)}
        94:{1,3,5}:{(60,1),(66,1),(71,1),(136,1),(138,1)}
        95:{3,4,5}:{(61,1),(132,1),(139,1),(319,1),(373,1),(415,1)}
        96:{2,3,5}:{(61,1),(63,1),(72,1),(121,1),(139,1),(141,1),(317,1),(373,1),(382,1),(406,1)}
        97:{3,5,7}:{(61,1),(62,1),(64,1),(143,1)}
        98:{2,4,6}:{(62,1),(74,1),(123,1),(143,1),(144,1),(158,1),(219,1),(241,1)}
        99:{1,3,4,6}:{(63,1),(66,1),(75,1),(124,1),(136,1),(141,1),(145,1),(146,1),(159,1),(220,1),(222,1),(224,1),(240,1),(248,1),(293,1),(300,1),(304,1),(309,1),(319,1),(329,1),(372,1),(380,1),(404,1)}
       100:{2,3,4,7}:{(63,1),(64,1),(76,1),(125,1),(137,1),(142,1),(146,1),(225,1),(242,1),(294,1),(318,1),(323,1),(374,1),(407,1)}
       101:{3,4,6,7}:{(64,1),(65,1),(143,1),(147,1),(241,1),(375,1),(380,1),(413,1)}
       102:{2,5,7}:{(65,1),(77,1),(126,1),(144,1),(147,1),(382,1)}
       103:{2,4}:{(66,1),(138,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(72,1),(149,1),(150,1),(158,1),(317,1),(379,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(70,1),(134,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(74,1),(135,1),(151,1),(152,1),(299,1),(383,1)}
       107:{1,4,6}:{(69,1),(71,1),(136,1),(149,1),(154,1)}
       108:{2,4,7}:{(69,1),(70,1),(137,1),(150,1),(154,1),(232,1)}
       109:{1,2,4,5}:{(71,1),(78,1),(138,1),(153,1),(155,1),(156,1),(233,1),(234,1),(248,1),(317,1),(325,1)}
       110:{1,5}:{(72,1),(75,1)}
       111:{2,5,7}:{(72,1),(73,1),(76,1),(157,1),(158,1)}
       112:{1,3,6}:{(73,1),(74,1),(143,1),(158,1)}
       113:{1,5,6}:{(74,1),(77,1),(144,1)}
       114:{1,2,4,6}:{(75,1),(78,1),(79,1),(145,1),(156,1),(159,1),(160,1),(248,1),(250,1),(307,1),(329,1),(361,1),(404,1)}
       115:{1,4,7}:{(75,1),(76,1),(80,1),(157,1)}
       116:{1,3}:{(78,1),(148,1)}
       117:{1,2,7}:{(79,1),(80,1),(232,1)}
       118:{1,3,5,6}:{(81,1),(82,1),(91,1),(161,1),(162,1),(163,1),(169,1),(389,1),(419,1)}
       119:{1,4,5,7}:{(81,1),(92,1),(163,1),(164,1),(198,1),(269,1),(348,1)}
       120:{1,3,4,5}:{(82,1),(87,1),(95,1),(161,1),(166,1),(187,1),(260,1),(278,1),(341,1),(389,1)}
       121:{2,5}:{(82,1),(84,1),(167,1)}
       122:{1,3,5,7}:{(82,1),(83,1),(85,1),(97,1),(168,1),(169,1)}
       123:{1,4,6}:{(83,1),(98,1),(169,1),(170,1),(205,1)}
       124:{1,4,6}:{(84,1),(89,1),(167,1),(172,1),(175,1),(264,1)}
       125:{2,4,7}:{(84,1),(85,1),(90,1),(168,1),(172,1)}
       126:{1,5,7}:{(86,1),(102,1),(170,1),(360,1)}
       127:{1,2,4}:{(103,1),(165,1),(173,1),(259,1)}
       128:{2,4}:{(87,1),(88,1),(175,1)}
       129:{1,3,5}:{(88,1),(89,1),(167,1),(175,1),(176,1),(267,1)}
       130:{1,2,6}:{(89,1),(176,1),(177,1),(330,1)}
       131:{1,3,7}:{(89,1),(90,1),(172,1),(177,1)}
       132:{3,4,6}:{(91,1),(95,1),(178,1),(179,1),(402,1)}
       133:{2,3,5,6}:{(91,1),(93,1),(96,1),(104,1),(162,1),(178,1),(180,1),(181,1),(192,1),(251,1),(281,1)}
       134:{3,5,7}:{(91,1),(92,1),(179,1),(182,1),(346,1)}
       135:{2,4,6,7}:{(92,1),(98,1),(106,1),(164,1),(182,1),(183,1),(199,1),(256,1),(275,1),(399,1)}
       136:{1,3,6}:{(93,1),(94,1),(107,1),(184,1),(185,1)}
       137:{2,3,7}:{(93,1),(108,1),(185,1),(346,1)}
       138:{2,5}:{(94,1),(103,1),(184,1)}
       139:{2,4,5}:{(95,1),(96,1),(178,1),(187,1),(283,1)}
       140:{3,4,5,7}:{(95,1),(97,1),(179,1),(188,1),(189,1),(196,1),(271,1),(353,1),(396,1),(401,1),(422,1)}
       141:{1,3,5}:{(96,1),(99,1),(110,1),(167,1),(187,1),(190,1),(278,1),(337,1),(360,1),(395,1),(401,1),(416,1)}
       142:{2,3,5,7}:{(96,1),(97,1),(100,1),(111,1),(168,1),(188,1),(191,1),(192,1),(352,1),(396,1),(418,1)}
       143:{3,6}:{(97,1),(98,1)}
       144:{2,5,6}:{(98,1),(102,1),(113,1),(170,1),(193,1)}
       145:{2,4,6}:{(99,1),(103,1),(184,1),(190,1),(194,1),(195,1),(266,1),(283,1),(285,1),(330,1)}
       146:{1,3,4,7}:{(99,1),(100,1),(115,1),(172,1),(185,1),(191,1),(195,1),(206,1),(265,1),(269,1),(291,1),(331,1),(338,1),(342,1),(346,1),(353,1),(417,1)}
       147:{3,5,7}:{(101,1),(102,1),(193,1),(196,1),(401,1)}
       148:{2,3}:{(103,1),(116,1),(173,1)}
       149:{1,5,6}:{(104,1),(107,1),(110,1),(198,1),(205,1),(337,1),(393,1)}
       150:{2,5,7}:{(104,1),(105,1),(108,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(112,1),(182,1),(199,1),(359,1)}
       152:{1,5,6,7}:{(106,1),(113,1),(183,1),(348,1),(403,1)}
       153:{1,2,4,6}:{(107,1),(109,1),(184,1),(197,1),(200,1),(201,1),(268,1),(276,1),(286,1)}
       154:{1,4,7}:{(107,1),(108,1),(185,1),(198,1)}
       155:{1,3,5}:{(109,1),(116,1),(186,1),(200,1),(202,1),(278,1)}
       156:{1,2,5}:{(110,1),(114,1),(190,1),(203,1),(360,1),(416,1)}
       157:{1,5,7}:{(110,1),(111,1),(115,1),(205,1)}
       158:{2,6}:{(111,1),(112,1),(205,1)}
       159:{1,3,6}:{(114,1),(116,1),(194,1),(203,1),(206,1),(344,1)}
       160:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(204,1),(206,1),(291,1),(386,1),(417,1)}
       161:{1,3,4,6}:{(118,1),(120,1),(132,1),(207,1),(208,1),(224,1),(293,1),(309,1)}
       162:{2,5,6}:{(118,1),(121,1),(207,1),(209,1),(210,1),(219,1),(406,1),(424,1)}
       163:{1,3,5,7}:{(118,1),(119,1),(134,1),(208,1),(210,1),(211,1)}
       164:{1,4,6,7}:{(119,1),(123,1),(135,1),(211,1),(212,1),(245,1),(409,1)}
       165:{1,2,5}:{(127,1),(138,1),(213,1),(214,1)}
       166:{2,4,5}:{(120,1),(121,1),(128,1),(207,1),(215,1),(216,1),(302,1),(371,1),(406,1)}
       167:{1,5}:{(121,1),(124,1)}
       168:{2,5,7}:{(121,1),(122,1),(125,1),(218,1),(219,1)}
       169:{1,3,6}:{(122,1),(123,1),(143,1),(219,1)}
       170:{1,5,6}:{(123,1),(126,1),(144,1)}
       171:{1,2,4,6}:{(124,1),(127,1),(130,1),(145,1),(213,1),(217,1),(220,1),(221,1),(223,1),(300,1),(304,1),(306,1),(372,1)}
       172:{1,4,7}:{(124,1),(125,1),(131,1),(218,1)}
       173:{1,3}:{(127,1),(148,1)}
       174:{2,3,4}:{(128,1),(215,1),(222,1),(308,1),(319,1),(371,1)}
       175:{1,4}:{(128,1),(129,1)}
       176:{1,2,5}:{(129,1),(130,1),(223,1),(302,1)}
       177:{1,2,7}:{(130,1),(131,1),(363,1)}
       178:{2,4,6}:{(132,1),(133,1),(139,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(134,1),(225,1),(413,1)}
       180:{1,3,5,6}:{(133,1),(136,1),(141,1),(149,1),(209,1),(224,1),(227,1),(228,1),(240,1),(293,1),(309,1),(322,1),(381,1)}
       181:{2,3,5,7}:{(133,1),(134,1),(137,1),(150,1),(210,1),(225,1),(228,1),(229,1),(294,1),(312,1)}
       182:{3,6,7}:{(134,1),(135,1),(143,1),(411,1)}
       183:{2,5,6,7}:{(135,1),(144,1),(152,1),(212,1),(230,1),(312,1),(376,1),(414,1)}
       184:{2,6}:{(136,1),(138,1),(232,1)}
       185:{1,3,7}:{(136,1),(137,1),(154,1),(232,1)}
       186:{2,3,5}:{(138,1),(148,1),(155,1),(214,1),(231,1),(233,1),(317,1)}
       187:{1,4,5}:{(139,1),(141,1),(224,1),(234,1),(248,1),(304,1),(415,1)}
       188:{2,4,5,7}:{(139,1),(140,1),(142,1),(225,1),(235,1),(236,1),(312,1),(323,1),(382,1)}
       189:{3,4,6}:{(140,1),(143,1),(236,1),(237,1),(241,1),(411,1),(425,1)}
       190:{2,5}:{(141,1),(145,1)}
       191:{1,3,5,7}:{(141,1),(142,1),(146,1),(157,1),(218,1),(235,1),(239,1),(240,1),(320,1),(369,1),(423,1)}
       192:{2,3,6}:{(142,1),(143,1),(158,1),(219,1),(236,1),(240,1),(379,1),(411,1),(424,1)}
       193:{3,5,6}:{(143,1),(144,1),(147,1),(241,1)}
       194:{2,3,6}:{(145,1),(148,1),(159,1),(220,1),(238,1),(242,1),(308,1),(309,1)}
       195:{2,4,7}:{(145,1),(146,1),(232,1),(239,1),(242,1),(363,1)}
       196:{4,5,7}:{(147,1),(241,1),(413,1),(415,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(156,1),(227,1),(243,1),(244,1),(250,1),(317,1),(361,1),(379,1)}
       198:{1,5,7}:{(149,1),(150,1),(154,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(158,1),(245,1),(379,1)}
       200:{1,3,6}:{(153,1),(155,1),(231,1),(247,1),(309,1)}
       201:{1,2,4,7}:{(153,1),(154,1),(232,1),(244,1),(247,1),(310,1),(318,1),(326,1)}
       202:{1,3,4}:{(155,1),(233,1),(248,1),(319,1)}
       203:{1,3,5}:{(156,1),(159,1),(238,1),(248,1)}
       204:{1,2,5,7}:{(156,1),(157,1),(160,1),(239,1),(249,1),(250,1),(423,1)}
       205:{1,6}:{(157,1),(158,1)}
       206:{1,3,7}:{(159,1),(160,1),(242,1)}
       207:{2,4,6}:{(161,1),(162,1),(166,1),(251,1),(252,1),(253,1),(330,1)}
       208:{1,3,4,7}:{(161,1),(163,1),(179,1),(253,1),(269,1),(331,1),(346,1)}
       209:{1,5,6}:{(162,1),(167,1),(252,1),(255,1),(264,1),(416,1),(426,1)}
       210:{2,5,7}:{(162,1),(163,1),(253,1),(255,1),(256,1)}
       211:{1,3,6,7}:{(163,1),(164,1),(169,1),(182,1),(256,1),(419,1)}
       212:{1,5,6,7}:{(164,1),(170,1),(183,1),(348,1),(420,1)}
       213:{1,2,6}:{(165,1),(184,1),(257,1),(258,1)}
       214:{1,3,5}:{(165,1),(173,1),(186,1),(257,1),(259,1),(337,1)}
       215:{2,3,5}:{(166,1),(174,1),(251,1),(260,1),(278,1)}
       216:{1,4,5}:{(166,1),(167,1),(175,1),(252,1),(260,1),(394,1),(416,1)}
       217:{1,2,5}:{(167,1),(171,1),(190,1),(262,1),(337,1),(395,1)}
       218:{1,5,7}:{(167,1),(168,1),(172,1),(264,1)}
       219:{2,6}:{(168,1),(169,1),(264,1)}
       220:{1,3,6}:{(171,1),(173,1),(194,1),(262,1),(265,1),(267,1)}
       221:{1,2,4,7}:{(171,1),(172,1),(177,1),(195,1),(258,1),(263,1),(265,1),(338,1),(342,1)}
       222:{1,3,4}:{(174,1),(175,1),(260,1),(266,1),(267,1),(344,1),(394,1)}
       223:{1,2,4}:{(175,1),(176,1),(266,1),(267,1)}
       224:{1,4,6}:{(178,1),(180,1),(187,1),(268,1),(269,1),(402,1)}
       225:{2,4,7}:{(178,1),(179,1),(181,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(189,1),(270,1),(271,1),(275,1)}
       227:{2,5,6}:{(180,1),(184,1),(190,1),(268,1),(273,1),(285,1),(330,1)}
       228:{1,3,5,7}:{(180,1),(181,1),(185,1),(198,1),(255,1),(269,1),(273,1),(274,1),(331,1),(346,1),(348,1),(398,1)}
       229:{2,3,6,7}:{(181,1),(182,1),(192,1),(199,1),(256,1),(270,1),(274,1)}
       230:{3,5,6,7}:{(182,1),(183,1),(193,1),(271,1),(275,1),(398,1),(421,1)}
       231:{2,3,6}:{(184,1),(186,1),(200,1),(257,1),(276,1),(277,1)}
       232:{2,7}:{(184,1),(185,1)}
       233:{2,4}:{(186,1),(202,1),(259,1)}
       234:{2,4,5}:{(187,1),(190,1),(268,1),(278,1),(283,1)}
       235:{1,4,5,7}:{(187,1),(188,1),(191,1),(269,1),(279,1),(280,1),(291,1),(342,1),(348,1),(360,1),(395,1)}
       236:{2,4,6}:{(188,1),(189,1),(192,1),(280,1),(281,1)}
       237:{3,5,6}:{(189,1),(271,1),(281,1),(282,1),(401,1)}
       238:{2,3,5}:{(190,1),(194,1),(203,1),(262,1),(278,1),(283,1)}
       239:{2,5,7}:{(190,1),(191,1),(195,1),(285,1)}
       240:{1,3,6}:{(191,1),(192,1),(205,1),(264,1),(280,1),(285,1),(354,1),(393,1),(426,1)}
       241:{4,6}:{(193,1),(196,1)}
       242:{2,3,7}:{(194,1),(195,1),(206,1),(265,1),(346,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(203,1),(272,1),(286,1),(287,1),(289,1),(292,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(201,1),(273,1),(287,1),(288,1),(352,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(205,1),(393,1)}
       246:{1,3,4,6}:{(200,1),(202,1),(276,1),(286,1),(289,1),(290,1),(345,1),(359,1)}
       247:{1,3,7}:{(200,1),(201,1),(277,1),(346,1)}
       248:{1,4}:{(203,1),(283,1)}
       249:{1,3,5,7}:{(203,1),(204,1),(206,1),(284,1),(291,1),(292,1),(360,1)}
       250:{1,2,6}:{(204,1),(205,1),(285,1),(292,1),(426,1)}
       251:{2,3,6}:{(207,1),(215,1),(293,1),(294,1),(309,1)}
       252:{1,4,6}:{(207,1),(209,1),(216,1),(293,1),(296,1)}
       253:{2,4,7}:{(207,1),(208,1),(210,1),(294,1),(296,1),(363,1)}
       254:{1,2,5,6}:{(209,1),(213,1),(217,1),(227,1),(295,1),(297,1),(298,1),(306,1),(406,1),(424,1)}
       255:{1,5,7}:{(209,1),(210,1),(296,1),(299,1)}
       256:{2,6,7}:{(210,1),(211,1),(219,1),(299,1),(424,1)}
       257:{1,3,6}:{(213,1),(214,1),(231,1),(300,1),(301,1)}
       258:{1,2,7}:{(213,1),(232,1),(301,1)}
       259:{1,4}:{(214,1),(233,1)}
       260:{1,3,5}:{(215,1),(216,1),(222,1),(293,1),(302,1)}
       261:{1,2,4,5}:{(216,1),(217,1),(223,1),(234,1),(295,1),(302,1),(303,1),(304,1),(366,1),(371,1),(406,1)}
       262:{1,3,5}:{(217,1),(220,1),(238,1),(304,1)}
       263:{1,2,5,7}:{(217,1),(218,1),(221,1),(239,1),(305,1),(306,1),(369,1)}
       264:{1,6}:{(218,1),(219,1)}
       265:{1,3,7}:{(220,1),(221,1),(242,1)}
       266:{2,4}:{(222,1),(302,1),(308,1)}
       267:{1,3}:{(223,1),(308,1)}
       268:{2,4,6}:{(224,1),(227,1),(234,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(228,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(236,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(237,1),(312,1),(313,1)}
       272:{2,3,5,6}:{(227,1),(231,1),(238,1),(243,1),(297,1),(309,1),(314,1),(315,1),(317,1),(324,1),(362,1),(373,1),(379,1),(381,1),(382,1),(406,1),(411,1),(414,1),(424,1)}
       273:{2,5,7}:{(227,1),(228,1),(232,1),(310,1),(316,1),(363,1)}
       274:{1,3,6,7}:{(228,1),(229,1),(240,1),(245,1),(299,1),(311,1),(316,1),(375,1)}
       275:{4,6,7}:{(230,1),(241,1),(313,1),(413,1),(425,1)}
       276:{2,4,6}:{(231,1),(233,1),(246,1),(300,1),(317,1),(318,1),(379,1)}
       277:{2,3,7}:{(231,1),(232,1),(247,1),(301,1),(318,1)}
       278:{3,5}:{(234,1),(309,1),(319,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(239,1),(310,1),(320,1),(321,1),(323,1),(376,1),(382,1),(413,1),(415,1)}
       280:{1,4,6}:{(235,1),(236,1),(240,1),(321,1),(322,1)}
       281:{2,5,6}:{(236,1),(237,1),(312,1),(322,1),(382,1)}
       282:{4,5,6}:{(237,1),(241,1),(313,1),(415,1),(425,1)}
       283:{2,4}:{(238,1),(248,1),(304,1),(319,1)}
       284:{2,3,5,7}:{(238,1),(239,1),(242,1),(249,1),(305,1),(320,1),(323,1),(324,1),(382,1)}
       285:{2,6}:{(239,1),(240,1)}
       286:{1,4,6}:{(243,1),(248,1),(314,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(247,1),(315,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(250,1),(316,1),(327,1),(379,1)}
       289:{1,3,5}:{(246,1),(317,1),(325,1),(373,1)}
       290:{1,3,4,7}:{(246,1),(247,1),(318,1),(326,1),(328,1),(374,1)}
       291:{1,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       292:{1,3,6}:{(249,1),(250,1),(324,1),(329,1)}
       293:{1,3,6}:{(251,1),(252,1),(260,1),(330,1),(331,1)}
       294:{2,3,7}:{(251,1),(253,1),(331,1),(346,1)}
       295:{1,2,4,6}:{(252,1),(254,1),(261,1),(268,1),(330,1),(332,1),(333,1),(334,1),(387,1)}
       296:{1,4,7}:{(252,1),(253,1),(255,1),(331,1)}
       297:{1,3,5,6}:{(254,1),(257,1),(262,1),(272,1),(332,1),(334,1),(335,1),(337,1),(343,1),(389,1),(393,1),(395,1),(419,1),(420,1)}
       298:{1,2,5,7}:{(254,1),(255,1),(258,1),(273,1),(333,1),(335,1),(336,1),(418,1)}
       299:{1,6,7}:{(255,1),(256,1),(264,1),(426,1)}
       300:{1,4,6}:{(257,1),(259,1),(276,1),(337,1),(338,1),(393,1)}
       301:{1,3,7}:{(257,1),(258,1),(277,1),(338,1)}
       302:{2,5}:{(260,1),(266,1),(330,1)}
       303:{1,3,5}:{(261,1),(267,1),(278,1),(332,1),(340,1),(341,1)}
       304:{1,4}:{(262,1),(283,1)}
       305:{1,3,5,7}:{(262,1),(263,1),(265,1),(284,1),(342,1),(343,1),(395,1)}
       306:{1,2,6}:{(263,1),(264,1),(285,1),(343,1),(393,1)}
       307:{1,2,4}:{(266,1),(339,1),(344,1),(394,1)}
       308:{2,3}:{(266,1),(267,1),(344,1)}
       309:{3,6}:{(268,1),(278,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(273,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(280,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(281,1),(348,1)}
       313:{4,5,7}:{(271,1),(275,1),(282,1)}
       314:{2,4,6}:{(272,1),(283,1),(286,1),(334,1),(345,1),(349,1),(350,1),(402,1)}
       315:{2,3,5,7}:{(272,1),(273,1),(277,1),(287,1),(335,1),(346,1),(350,1),(351,1),(352,1),(388,1),(396,1),(398,1),(400,1),(418,1)}
       316:{2,6,7}:{(273,1),(274,1),(285,1)}
       317:{2,5}:{(276,1),(289,1),(337,1)}
       318:{2,4,7}:{(276,1),(277,1),(290,1),(338,1),(352,1)}
       319:{3,4}:{(278,1),(283,1)}
       320:{3,5,7}:{(278,1),(279,1),(346,1),(353,1),(354,1),(401,1)}
       321:{2,4,6}:{(279,1),(280,1),(285,1),(354,1),(355,1),(402,1)}
       322:{1,5,6}:{(280,1),(281,1),(348,1),(355,1),(360,1),(395,1)}
       323:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(353,1),(356,1)}
       324:{2,3,6}:{(284,1),(285,1),(292,1),(343,1),(354,1),(356,1)}
       325:{1,4,5}:{(286,1),(289,1),(349,1),(360,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(350,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(292,1),(351,1),(358,1),(359,1),(426,1)}
       328:{1,3,5,7}:{(289,1),(290,1),(352,1),(357,1),(359,1),(396,1)}
       329:{1,4,6}:{(291,1),(292,1),(356,1),(360,1)}
       330:{2,6}:{(293,1),(302,1),(363,1)}
       331:{1,3,7}:{(293,1),(294,1),(296,1),(363,1)}
       332:{1,3,6}:{(295,1),(303,1),(309,1),(362,1),(365,1)}
       333:{1,2,4,7}:{(295,1),(296,1),(298,1),(310,1),(363,1),(365,1),(367,1),(407,1)}
       334:{1,4,6}:{(297,1),(304,1),(314,1),(366,1),(367,1)}
       335:{1,3,5,7}:{(297,1),(298,1),(301,1),(315,1),(365,1),(367,1),(368,1),(369,1),(410,1)}
       336:{1,2,6,7}:{(298,1),(299,1),(306,1),(316,1),(368,1),(424,1)}
       337:{1,5}:{(300,1),(317,1)}
       338:{1,4,7}:{(300,1),(301,1),(318,1),(369,1)}
       339:{1,2,5}:{(302,1),(307,1),(361,1),(370,1)}
       340:{2,3,5}:{(302,1),(303,1),(308,1),(362,1),(370,1),(371,1),(406,1)}
       341:{1,3,4}:{(303,1),(304,1),(319,1),(371,1)}
       342:{1,4,7}:{(304,1),(305,1),(323,1),(372,1)}
       343:{1,3,6}:{(305,1),(306,1),(324,1),(372,1)}
       344:{1,3}:{(307,1),(308,1)}
       345:{3,4,6}:{(309,1),(314,1),(319,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(321,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(322,1),(376,1)}
       349:{2,4,5}:{(314,1),(317,1),(325,1),(366,1),(373,1),(382,1),(406,1),(415,1)}
       350:{2,4,7}:{(314,1),(315,1),(326,1),(367,1),(374,1),(413,1)}
       351:{2,3,6,7}:{(315,1),(316,1),(324,1),(327,1),(368,1),(375,1),(378,1),(379,1),(411,1),(424,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(380,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(376,1),(381,1),(382,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(380,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(328,1),(377,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(329,1),(378,1),(383,1),(384,1)}
       359:{1,3,6}:{(328,1),(379,1),(383,1),(411,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(330,1),(339,1),(385,1),(386,1)}
       362:{2,3,6}:{(330,1),(332,1),(340,1),(385,1),(387,1),(388,1)}
       363:{2,7}:{(330,1),(331,1)}
       364:{1,3,4,6}:{(332,1),(334,1),(341,1),(345,1),(387,1),(389,1),(390,1),(419,1)}
       365:{1,3,7}:{(332,1),(333,1),(346,1),(388,1)}
       366:{1,4,5}:{(334,1),(337,1),(349,1),(389,1),(395,1)}
       367:{1,4,7}:{(334,1),(335,1),(350,1)}
       368:{1,3,6,7}:{(335,1),(336,1),(343,1),(351,1),(392,1),(393,1),(419,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(385,1),(394,1),(416,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(349,1)}
       374:{3,4,7}:{(345,1),(346,1),(350,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(354,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(355,1),(398,1)}
       377:{2,4,5,7}:{(349,1),(350,1),(352,1),(357,1),(391,1),(396,1),(399,1),(400,1),(418,1),(422,1)}
       378:{2,4,6,7}:{(350,1),(351,1),(356,1),(358,1),(392,1),(397,1),(399,1),(400,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,4,6}:{(353,1),(354,1),(356,1),(401,1),(402,1)}
       381:{3,5,6}:{(354,1),(355,1),(398,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(401,1)}
       383:{1,4,6}:{(357,1),(359,1),(399,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(360,1),(400,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(370,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(363,1),(405,1)}
       387:{2,4,6}:{(362,1),(364,1),(371,1),(404,1),(406,1),(407,1),(424,1)}
       388:{2,3,7}:{(362,1),(363,1),(365,1),(405,1),(407,1)}
       389:{1,3,5}:{(364,1),(366,1),(373,1),(406,1)}
       390:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(407,1),(408,1)}
       391:{1,4,5,7}:{(366,1),(367,1),(369,1),(377,1),(408,1),(409,1),(410,1)}
       392:{1,4,6,7}:{(367,1),(368,1),(372,1),(378,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(381,1),(413,1)}
       399:{2,4,6}:{(377,1),(379,1),(383,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       400:{2,5,7}:{(378,1),(382,1),(384,1),(410,1),(412,1),(414,1)}
       401:{3,5}:{(380,1),(382,1),(415,1)}
       402:{4,6}:{(381,1),(413,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,4,6}:{(385,1),(387,1),(394,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(388,1),(417,1)}
       406:{2,5}:{(387,1),(389,1),(416,1)}
       407:{2,4,7}:{(387,1),(388,1),(390,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(391,1),(393,1),(399,1),(419,1),(420,1)}
       410:{1,5,7}:{(392,1),(395,1),(400,1),(420,1)}
       411:{3,6}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(402,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 740 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 741 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 742 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 743 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 744 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 745 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,2,7}:{(5,1),(23,1),(53,1)}
        13:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(29,1),(30,1),(31,1),(61,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(13,1),(29,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,3,7}:{(12,1),(13,1),(33,1),(37,1),(101,1)}
        24:{1,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1),(70,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(38,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,2,7}:{(17,1),(44,1),(96,1)}
        29:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,3,7}:{(20,1),(23,1),(44,1),(50,1),(53,1),(81,1),(96,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(48,1),(50,1),(51,1),(82,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(51,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,7}:{(23,1),(24,1),(50,1),(54,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(55,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,3,7}:{(28,1),(29,1),(33,1),(60,1),(63,1)}
        45:{1,4,6}:{(29,1),(30,1),(34,1),(60,1),(61,1),(88,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(61,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(91,1),(92,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,4,7}:{(33,1),(34,1),(37,1),(60,1),(64,1),(67,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(68,1),(69,1),(86,1),(91,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,7}:{(37,1),(38,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(71,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,4,7}:{(44,1),(45,1),(50,1),(75,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(76,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,4,7}:{(48,1),(50,1),(79,1),(81,1),(99,1)}
        65:{3,5}:{(48,1),(51,1),(78,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,7}:{(50,1),(51,1),(54,1),(75,1),(79,1),(82,1)}
        68:{2,5,6}:{(51,1),(52,1),(55,1),(76,1),(80,1),(82,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(83,1),(96,1),(99,1)}
        70:{1,6}:{(54,1),(82,1)}
        71:{1,5,7}:{(55,1),(56,1),(83,1),(84,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,7}:{(60,1),(61,1),(67,1),(88,1)}
        76:{1,5,6}:{(61,1),(62,1),(68,1),(88,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(89,1)}
        78:{4,5}:{(65,1),(91,1)}
        79:{3,5,7}:{(64,1),(65,1),(67,1),(90,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(68,1),(91,1),(92,1),(93,1),(102,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,6}:{(67,1),(70,1),(88,1),(92,1)}
        83:{2,5,7}:{(68,1),(69,1),(71,1),(89,1),(93,1),(94,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,6}:{(75,1),(82,1)}
        89:{1,5,7}:{(76,1),(77,1),(83,1),(97,1)}
        90:{4,5,7}:{(78,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,6}:{(78,1),(80,1),(99,1)}
        92:{3,6}:{(79,1),(82,1),(98,1)}
        93:{3,5,7}:{(80,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,6}:{(90,1),(92,1),(102,1)}
        99:{4,7}:{(91,1),(93,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 746 :   0:{1,2,6,7}:{(4,1),(6,1),(160,1),(244,1),(249,1),(258,1),(309,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(80,1),(86,1),(157,1),(160,1),(162,1),(173,1),(231,1),(249,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(95,1),(160,1),(309,1),(316,1),(367,1)}
         3:{2,3,5,6}:{(5,1),(9,1),(10,1),(33,1),(36,1),(38,1),(80,1),(95,1),(160,1),(231,1),(238,1),(308,1),(316,1),(372,1),(374,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(13,1),(14,1),(116,1),(205,1),(291,1)}
         5:{1,3,5,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(18,1),(47,1),(49,1),(55,1),(116,1),(118,1),(205,1),(207,1),(291,1),(358,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(14,1),(17,1),(117,1),(124,1),(201,1),(216,1),(272,1)}
         7:{1,2,4,6}:{(1,1),(15,1),(16,1),(17,1),(18,1),(51,1),(199,1),(214,1),(270,1),(282,1)}
         8:{2,4,6,7}:{(2,1),(13,1),(19,1),(20,1),(22,1),(62,1),(348,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(14,1),(20,1),(22,1),(54,1),(63,1),(117,1),(272,1),(340,1),(387,1)}
        10:{2,4,6}:{(3,1),(15,1),(21,1),(22,1),(23,1),(280,1),(392,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(148,1),(160,1),(258,1),(265,1),(330,1)}
        12:{2,3,5,6}:{(5,1),(25,1),(26,1),(33,1),(69,1),(71,1),(80,1),(148,1),(160,1),(173,1),(180,1),(257,1),(265,1),(335,1),(337,1)}
        13:{1,4,6,7}:{(4,1),(8,1),(24,1),(27,1),(29,1),(78,1),(328,1)}
        14:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(27,1),(29,1),(32,1),(85,1),(161,1)}
        15:{1,4,6}:{(5,1),(10,1),(26,1),(28,1),(29,1),(251,1)}
        16:{1,2,4,5}:{(7,1),(28,1),(31,1),(80,1),(83,1),(159,1),(162,1),(177,1),(235,1),(247,1),(251,1),(252,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(29,1),(32,1),(81,1),(242,1),(256,1),(307,1),(319,1)}
        18:{1,3,6}:{(7,1),(31,1),(32,1),(33,1),(257,1),(308,1)}
        19:{3,4,6,7}:{(8,1),(35,1),(39,1),(92,1),(95,1),(367,1),(373,1),(401,1)}
        20:{2,5,7}:{(8,1),(27,1),(35,1),(36,1),(374,1)}
        21:{2,4,5}:{(10,1),(28,1),(38,1),(80,1),(374,1),(405,1)}
        22:{2,4,7}:{(9,1),(10,1),(29,1),(39,1),(401,1)}
        23:{3,4,6}:{(10,1),(38,1),(39,1),(95,1),(308,1),(315,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(106,1),(304,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(14,1),(42,1),(44,1),(54,1),(107,1),(117,1),(216,1),(296,1),(359,1)}
        26:{2,4,6}:{(12,1),(15,1),(43,1),(44,1),(45,1),(224,1),(364,1)}
        27:{1,5,7}:{(13,1),(20,1),(42,1),(47,1),(358,1)}
        28:{1,4,5}:{(15,1),(21,1),(43,1),(49,1),(118,1),(358,1)}
        29:{1,4,7}:{(14,1),(15,1),(22,1),(44,1)}
        30:{1,3,4,6}:{(15,1),(18,1),(23,1),(45,1),(49,1),(50,1),(51,1),(52,1),(116,1)}
        31:{1,3,5}:{(16,1),(18,1),(52,1),(53,1),(221,1),(277,1),(293,1)}
        32:{1,3,7}:{(17,1),(18,1),(54,1),(296,1),(340,1)}
        33:{2,3,6}:{(18,1),(51,1),(53,1),(54,1),(55,1),(282,1)}
        34:{2,4,5,6}:{(21,1),(46,1),(57,1),(58,1),(62,1),(114,1),(127,1),(131,1),(218,1),(270,1),(344,1),(345,1),(391,1),(392,1)}
        35:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(393,1)}
        36:{2,5,6}:{(20,1),(47,1),(59,1),(62,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(48,1),(60,1),(62,1),(63,1),(117,1)}
        38:{3,5}:{(21,1),(23,1)}
        39:{3,4,7}:{(22,1),(23,1),(63,1),(340,1)}
        40:{2,3,4,6}:{(23,1),(51,1),(64,1),(65,1),(66,1),(121,1),(127,1),(135,1),(196,1),(197,1),(280,1),(341,1),(348,1),(352,1)}
        41:{3,4,6,7}:{(24,1),(68,1),(72,1),(145,1),(148,1),(330,1),(336,1),(382,1)}
        42:{2,5,7}:{(24,1),(27,1),(68,1),(69,1),(337,1)}
        43:{2,4,5}:{(26,1),(28,1),(71,1),(80,1),(337,1),(386,1)}
        44:{2,4,7}:{(25,1),(26,1),(29,1),(72,1),(382,1)}
        45:{3,4,6}:{(26,1),(71,1),(72,1),(148,1),(257,1),(264,1)}
        46:{1,4,5,6}:{(28,1),(34,1),(67,1),(75,1),(76,1),(78,1),(157,1),(170,1),(228,1),(261,1),(312,1),(325,1),(381,1)}
        47:{1,5,6}:{(27,1),(36,1),(69,1),(78,1)}
        48:{1,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(70,1),(78,1),(79,1),(161,1)}
        49:{1,3,5}:{(28,1),(30,1),(38,1),(71,1),(80,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(32,1),(39,1),(72,1),(79,1),(81,1)}
        51:{2,4,6}:{(30,1),(33,1),(80,1),(81,1),(82,1),(83,1),(160,1)}
        52:{1,3,4}:{(31,1),(83,1),(251,1),(264,1),(315,1)}
        53:{2,3,5}:{(31,1),(33,1),(80,1),(83,1),(84,1),(247,1),(253,1)}
        54:{2,3,7}:{(32,1),(33,1),(81,1),(85,1),(319,1)}
        55:{1,3,6}:{(33,1),(82,1),(84,1),(85,1),(86,1)}
        56:{2,5,6,7}:{(36,1),(74,1),(87,1),(89,1),(254,1),(366,1),(404,1)}
        57:{2,4,5,7}:{(34,1),(75,1),(89,1),(90,1),(156,1),(167,1),(169,1),(254,1),(307,1),(366,1),(401,1)}
        58:{3,5,6}:{(34,1),(38,1),(88,1),(90,1),(95,1),(308,1),(369,1),(403,1)}
        59:{3,5,6}:{(35,1),(36,1),(92,1),(95,1)}
        60:{4,5,7}:{(35,1),(92,1),(401,1),(405,1)}
        61:{3,4,5}:{(38,1),(88,1),(94,1),(315,1),(369,1),(405,1)}
        62:{2,4,6}:{(36,1),(37,1),(78,1),(92,1),(95,1),(160,1)}
        63:{3,5,7}:{(37,1),(38,1),(39,1),(95,1)}
        64:{2,3,5}:{(38,1),(40,1),(80,1),(94,1),(97,1),(369,1),(374,1),(378,1)}
        65:{2,3,4,7}:{(39,1),(40,1),(81,1),(96,1),(98,1),(169,1),(239,1),(240,1),(317,1),(368,1),(377,1)}
        66:{1,3,4,6}:{(40,1),(82,1),(97,1),(98,1),(99,1),(164,1),(165,1),(170,1),(178,1),(241,1),(251,1),(257,1),(264,1),(328,1),(336,1),(376,1)}
        67:{2,4,5,6}:{(43,1),(46,1),(101,1),(102,1),(106,1),(114,1),(184,1),(188,1),(214,1),(274,1),(300,1),(301,1),(363,1),(364,1)}
        68:{3,5,7}:{(41,1),(42,1),(103,1),(104,1),(365,1)}
        69:{2,5,6}:{(42,1),(47,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(104,1),(106,1),(107,1),(117,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(107,1),(296,1)}
        73:{2,3,4,6}:{(45,1),(51,1),(108,1),(109,1),(110,1),(121,1),(139,1),(184,1),(192,1),(197,1),(224,1),(297,1),(304,1),(352,1)}
        74:{1,5,6,7}:{(47,1),(56,1),(100,1),(112,1),(294,1),(338,1),(398,1)}
        75:{1,4,5,7}:{(46,1),(57,1),(101,1),(112,1),(113,1),(201,1),(213,1),(269,1),(294,1),(338,1)}
        76:{1,3,5,6}:{(46,1),(49,1),(58,1),(102,1),(111,1),(113,1),(114,1),(116,1),(354,1),(397,1)}
        77:{1,3,4,5}:{(49,1),(52,1),(61,1),(105,1),(111,1),(115,1),(134,1),(191,1),(203,1),(221,1),(277,1),(290,1),(354,1)}
        78:{1,4,6}:{(47,1),(48,1),(62,1),(106,1),(116,1),(205,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(63,1),(107,1),(116,1),(117,1)}
        80:{2,5}:{(49,1),(51,1),(118,1)}
        81:{2,4,7}:{(50,1),(51,1),(54,1),(117,1),(119,1)}
        82:{1,4,6}:{(51,1),(55,1),(118,1),(119,1),(122,1),(205,1)}
        83:{2,4}:{(52,1),(53,1),(122,1)}
        84:{1,3,5}:{(53,1),(55,1),(118,1),(122,1),(123,1),(210,1)}
        85:{1,3,7}:{(54,1),(55,1),(119,1),(124,1)}
        86:{1,2,6}:{(55,1),(123,1),(124,1),(282,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(125,1),(128,1),(211,1),(387,1),(410,1)}
        88:{3,4,6}:{(58,1),(61,1),(126,1),(127,1),(392,1)}
        89:{2,4,6,7}:{(56,1),(57,1),(62,1),(112,1),(125,1),(128,1),(200,1),(391,1)}
        90:{3,5,7}:{(57,1),(58,1),(126,1),(128,1),(340,1)}
        91:{2,3,5,6}:{(58,1),(64,1),(114,1),(127,1),(129,1),(130,1),(135,1),(197,1),(218,1)}
        92:{4,6}:{(59,1),(60,1)}
        93:{3,4,5,7}:{(60,1),(61,1),(63,1),(126,1),(132,1),(133,1),(211,1),(347,1),(389,1),(393,1),(409,1)}
        94:{2,4,5}:{(61,1),(64,1),(127,1),(134,1),(280,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,3,5,7}:{(63,1),(64,1),(65,1),(117,1),(133,1),(135,1),(136,1),(389,1),(396,1)}
        97:{1,3,5}:{(64,1),(66,1),(118,1),(134,1),(137,1),(221,1),(358,1),(365,1),(395,1)}
        98:{1,3,4,7}:{(65,1),(66,1),(119,1),(136,1),(138,1),(208,1),(213,1),(281,1),(292,1),(296,1),(303,1),(394,1)}
        99:{2,4,6}:{(66,1),(137,1),(138,1),(139,1),(209,1),(222,1),(224,1),(282,1)}
       100:{2,5,6,7}:{(69,1),(74,1),(140,1),(142,1),(305,1),(329,1),(385,1)}
       101:{2,4,5,7}:{(67,1),(75,1),(142,1),(143,1),(156,1),(225,1),(227,1),(256,1),(305,1),(329,1),(382,1)}
       102:{3,5,6}:{(67,1),(71,1),(141,1),(143,1),(148,1),(257,1),(332,1),(384,1)}
       103:{3,5,6}:{(68,1),(69,1),(145,1),(148,1)}
       104:{4,5,7}:{(68,1),(145,1),(382,1),(386,1)}
       105:{3,4,5}:{(71,1),(141,1),(147,1),(264,1),(332,1),(386,1)}
       106:{2,4,6}:{(69,1),(70,1),(78,1),(145,1),(148,1),(160,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(148,1)}
       108:{2,3,5}:{(71,1),(73,1),(80,1),(147,1),(150,1),(332,1),(337,1),(378,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(81,1),(149,1),(151,1),(181,1),(227,1),(240,1),(266,1),(331,1),(377,1)}
       110:{1,3,4,6}:{(73,1),(82,1),(150,1),(151,1),(152,1),(164,1),(165,1),(228,1),(236,1),(241,1),(251,1),(308,1),(315,1),(328,1),(373,1),(376,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(88,1),(141,1),(153,1),(154,1),(170,1),(228,1),(241,1),(257,1),(308,1)}
       112:{1,4,6,7}:{(74,1),(75,1),(78,1),(89,1),(142,1),(155,1),(244,1),(381,1)}
       113:{1,3,5,7}:{(75,1),(76,1),(90,1),(143,1),(153,1),(155,1),(156,1)}
       114:{2,5,6}:{(76,1),(80,1),(154,1),(156,1),(157,1),(160,1),(378,1),(407,1)}
       115:{2,4,5}:{(77,1),(80,1),(83,1),(154,1),(158,1),(159,1),(247,1),(327,1),(378,1)}
       116:{1,3,6}:{(78,1),(79,1),(95,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(85,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(86,1),(99,1),(152,1),(162,1),(163,1),(164,1),(166,1),(249,1),(251,1),(252,1),(318,1),(328,1),(376,1)}
       121:{2,3,4}:{(83,1),(158,1),(165,1),(253,1),(264,1),(315,1),(327,1)}
       122:{1,4}:{(83,1),(84,1)}
       123:{1,2,5}:{(84,1),(86,1),(166,1),(247,1)}
       124:{1,2,7}:{(85,1),(86,1),(319,1)}
       125:{4,6,7}:{(87,1),(92,1),(167,1),(401,1),(412,1)}
       126:{3,4,7}:{(88,1),(90,1),(169,1),(401,1)}
       127:{2,4,6}:{(88,1),(91,1),(94,1),(169,1),(170,1)}
       128:{3,6,7}:{(89,1),(90,1),(95,1),(403,1)}
       129:{2,3,5,7}:{(90,1),(91,1),(156,1),(169,1),(171,1),(172,1),(240,1),(254,1)}
       130:{1,3,5,6}:{(91,1),(97,1),(157,1),(170,1),(172,1),(173,1),(178,1),(241,1),(257,1),(261,1),(335,1)}
       131:{4,5,6}:{(92,1),(167,1),(174,1),(405,1),(412,1)}
       132:{3,4,6}:{(92,1),(93,1),(95,1),(174,1),(175,1),(403,1),(412,1)}
       133:{2,4,5,7}:{(93,1),(94,1),(96,1),(169,1),(175,1),(176,1),(254,1),(317,1),(374,1)}
       134:{1,4,5}:{(94,1),(97,1),(170,1),(177,1),(251,1),(386,1)}
       135:{2,3,6}:{(95,1),(96,1),(160,1),(175,1),(178,1),(403,1),(407,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(98,1),(161,1),(176,1),(178,1),(179,1),(263,1),(406,1)}
       137:{2,5}:{(97,1),(99,1)}
       138:{2,4,7}:{(98,1),(99,1),(179,1),(181,1),(319,1)}
       139:{2,3,6}:{(99,1),(164,1),(180,1),(181,1),(253,1),(257,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(182,1),(185,1),(267,1),(359,1),(400,1)}
       141:{3,4,6}:{(102,1),(105,1),(183,1),(184,1),(364,1)}
       142:{2,4,6,7}:{(100,1),(101,1),(106,1),(112,1),(182,1),(185,1),(200,1),(363,1)}
       143:{3,5,7}:{(101,1),(102,1),(183,1),(185,1),(296,1)}
       144:{2,3,5,6}:{(102,1),(108,1),(114,1),(184,1),(186,1),(187,1),(192,1),(197,1),(274,1)}
       145:{4,6}:{(103,1),(104,1)}
       146:{3,4,5,7}:{(104,1),(105,1),(107,1),(183,1),(189,1),(190,1),(267,1),(303,1),(361,1),(365,1),(399,1)}
       147:{2,4,5}:{(105,1),(108,1),(184,1),(191,1),(224,1)}
       148:{3,6}:{(106,1),(107,1)}
       149:{2,3,5,7}:{(107,1),(108,1),(109,1),(117,1),(190,1),(192,1),(193,1),(361,1),(396,1)}
       150:{1,3,5}:{(108,1),(110,1),(118,1),(191,1),(194,1),(277,1),(358,1),(393,1),(395,1)}
       151:{1,3,4,7}:{(109,1),(110,1),(119,1),(193,1),(195,1),(208,1),(269,1),(281,1),(292,1),(340,1),(347,1),(394,1)}
       152:{2,4,6}:{(110,1),(194,1),(195,1),(196,1),(209,1),(278,1),(280,1),(282,1)}
       153:{1,3,4,7}:{(111,1),(113,1),(126,1),(183,1),(198,1),(213,1),(269,1),(281,1),(296,1),(340,1)}
       154:{2,4,6}:{(111,1),(114,1),(115,1),(197,1),(198,1),(199,1),(282,1)}
       155:{1,3,6,7}:{(112,1),(113,1),(116,1),(128,1),(185,1),(200,1),(397,1)}
       156:{2,5,7}:{(113,1),(114,1),(198,1),(200,1),(201,1)}
       157:{1,5,6}:{(114,1),(118,1),(199,1),(201,1),(205,1),(395,1),(411,1)}
       158:{2,3,5}:{(115,1),(121,1),(197,1),(203,1),(221,1),(277,1)}
       159:{1,4,5}:{(115,1),(118,1),(122,1),(199,1),(203,1),(357,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(137,1),(194,1),(207,1),(358,1),(395,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(124,1),(138,1),(195,1),(206,1),(208,1),(292,1),(349,1),(394,1)}
       164:{1,3,6}:{(120,1),(139,1),(196,1),(207,1),(208,1),(210,1),(293,1)}
       165:{1,3,4}:{(121,1),(122,1),(203,1),(209,1),(210,1),(293,1),(357,1)}
       166:{1,2,4}:{(122,1),(123,1),(209,1),(210,1)}
       167:{4,5,7}:{(125,1),(131,1),(211,1)}
       168:{3,4,6,7}:{(125,1),(126,1),(128,1),(132,1),(211,1),(212,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(213,1)}
       170:{1,4,6}:{(127,1),(130,1),(134,1),(213,1),(214,1),(364,1)}
       171:{2,3,6,7}:{(128,1),(129,1),(135,1),(200,1),(212,1),(215,1)}
       172:{1,3,5,7}:{(129,1),(130,1),(201,1),(213,1),(215,1),(216,1),(281,1),(294,1),(296,1),(359,1)}
       173:{2,5,6}:{(130,1),(137,1),(214,1),(216,1),(222,1),(282,1)}
       174:{3,5,6}:{(131,1),(132,1),(211,1),(218,1),(393,1)}
       175:{2,4,6}:{(132,1),(133,1),(135,1),(218,1),(219,1)}
       176:{1,4,5,7}:{(133,1),(134,1),(136,1),(213,1),(219,1),(220,1),(292,1),(294,1),(358,1)}
       177:{2,4,5}:{(134,1),(137,1),(214,1),(221,1),(224,1)}
       178:{1,3,6}:{(135,1),(136,1),(205,1),(219,1),(222,1),(302,1),(411,1)}
       179:{2,5,7}:{(136,1),(137,1),(138,1),(222,1)}
       180:{2,3,5}:{(137,1),(139,1),(207,1),(221,1),(224,1)}
       181:{2,3,7}:{(138,1),(139,1),(208,1),(296,1)}
       182:{4,6,7}:{(140,1),(145,1),(225,1),(382,1),(408,1)}
       183:{3,4,7}:{(141,1),(143,1),(227,1),(382,1)}
       184:{2,4,6}:{(141,1),(144,1),(147,1),(227,1),(228,1)}
       185:{3,6,7}:{(142,1),(143,1),(148,1),(384,1)}
       186:{2,3,5,7}:{(143,1),(144,1),(156,1),(227,1),(229,1),(230,1),(240,1),(305,1)}
       187:{1,3,5,6}:{(144,1),(150,1),(157,1),(228,1),(230,1),(231,1),(236,1),(241,1),(308,1),(312,1),(372,1)}
       188:{4,5,6}:{(145,1),(225,1),(232,1),(386,1),(408,1)}
       189:{3,4,6}:{(145,1),(146,1),(148,1),(232,1),(233,1),(384,1),(408,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(149,1),(227,1),(233,1),(234,1),(266,1),(305,1),(337,1)}
       191:{1,4,5}:{(147,1),(150,1),(228,1),(235,1),(251,1),(405,1)}
       192:{2,3,6}:{(148,1),(149,1),(160,1),(233,1),(236,1),(384,1),(407,1)}
       193:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(234,1),(236,1),(237,1),(314,1),(406,1)}
       194:{2,5}:{(150,1),(152,1)}
       195:{2,4,7}:{(151,1),(152,1),(237,1),(239,1),(319,1)}
       196:{2,3,6}:{(152,1),(164,1),(238,1),(239,1),(253,1),(308,1)}
       197:{2,3,6}:{(154,1),(158,1),(240,1),(241,1),(257,1),(308,1)}
       198:{2,4,7}:{(153,1),(154,1),(156,1),(240,1),(242,1),(319,1)}
       199:{1,4,6}:{(154,1),(157,1),(159,1),(241,1),(242,1)}
       200:{2,6,7}:{(155,1),(156,1),(160,1),(244,1),(407,1)}
       201:{1,5,7}:{(156,1),(157,1),(242,1),(244,1)}
       202:{1,2,5,6}:{(157,1),(162,1),(173,1),(231,1),(243,1),(245,1),(246,1),(249,1),(318,1),(378,1),(407,1)}
       203:{1,3,5}:{(158,1),(159,1),(165,1),(241,1),(247,1)}
       204:{1,2,4,5}:{(159,1),(162,1),(166,1),(177,1),(235,1),(243,1),(247,1),(248,1),(251,1),(325,1),(327,1),(378,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(179,1),(237,1),(249,1),(250,1),(406,1)}
       207:{1,3,5}:{(162,1),(164,1),(180,1),(238,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(181,1),(239,1)}
       209:{2,4}:{(165,1),(247,1),(253,1)}
       210:{1,3}:{(166,1),(253,1)}
       211:{3,5,7}:{(167,1),(168,1),(174,1),(254,1)}
       212:{2,4,6,7}:{(168,1),(169,1),(171,1),(175,1),(254,1),(255,1)}
       213:{1,4,7}:{(169,1),(170,1),(172,1),(256,1),(382,1)}
       214:{2,4,6}:{(170,1),(173,1),(177,1),(256,1),(257,1)}
       215:{1,3,6,7}:{(171,1),(172,1),(178,1),(244,1),(255,1),(258,1),(330,1)}
       216:{2,5,7}:{(172,1),(173,1),(256,1),(258,1),(319,1)}
       217:{2,3,5,6}:{(173,1),(180,1),(246,1),(257,1),(259,1),(260,1),(265,1),(320,1),(332,1),(335,1),(337,1),(378,1),(384,1),(385,1),(407,1)}
       218:{2,5,6}:{(174,1),(175,1),(254,1),(261,1),(374,1)}
       219:{1,4,6}:{(175,1),(176,1),(178,1),(261,1),(262,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(179,1),(256,1),(262,1),(263,1),(266,1),(329,1),(337,1),(382,1),(386,1)}
       221:{3,5}:{(177,1),(257,1),(264,1)}
       222:{2,6}:{(178,1),(179,1)}
       223:{2,3,5,7}:{(179,1),(180,1),(181,1),(250,1),(263,1),(265,1),(266,1),(337,1)}
       224:{2,4}:{(180,1),(251,1),(264,1)}
       225:{4,5,7}:{(182,1),(188,1),(267,1)}
       226:{3,4,6,7}:{(182,1),(183,1),(185,1),(189,1),(267,1),(268,1)}
       227:{2,4,7}:{(183,1),(184,1),(186,1),(269,1)}
       228:{1,4,6}:{(184,1),(187,1),(191,1),(269,1),(270,1),(392,1)}
       229:{2,3,6,7}:{(185,1),(186,1),(192,1),(200,1),(268,1),(271,1)}
       230:{1,3,5,7}:{(186,1),(187,1),(201,1),(269,1),(271,1),(272,1),(281,1),(338,1),(340,1),(387,1)}
       231:{2,5,6}:{(187,1),(194,1),(270,1),(272,1),(278,1),(282,1)}
       232:{3,5,6}:{(188,1),(189,1),(267,1),(274,1),(365,1)}
       233:{2,4,6}:{(189,1),(190,1),(192,1),(274,1),(275,1)}
       234:{1,4,5,7}:{(190,1),(191,1),(193,1),(269,1),(275,1),(276,1),(292,1),(338,1),(358,1)}
       235:{2,4,5}:{(191,1),(194,1),(270,1),(277,1),(280,1)}
       236:{1,3,6}:{(192,1),(193,1),(205,1),(275,1),(278,1),(346,1),(411,1)}
       237:{2,5,7}:{(193,1),(194,1),(195,1),(278,1)}
       238:{2,3,5}:{(194,1),(196,1),(207,1),(277,1),(280,1)}
       239:{2,3,7}:{(195,1),(196,1),(208,1),(340,1)}
       240:{2,3,7}:{(197,1),(198,1),(281,1),(296,1),(340,1)}
       241:{1,3,6}:{(197,1),(199,1),(203,1),(281,1),(282,1)}
       242:{1,4,7}:{(198,1),(199,1),(201,1),(281,1)}
       243:{1,2,4,6}:{(199,1),(202,1),(204,1),(214,1),(270,1),(282,1),(283,1),(284,1),(287,1),(352,1)}
       244:{1,6,7}:{(200,1),(201,1),(205,1),(411,1)}
       245:{1,2,5,7}:{(201,1),(202,1),(216,1),(272,1),(283,1),(285,1),(286,1),(349,1),(396,1)}
       246:{1,3,5,6}:{(202,1),(207,1),(217,1),(273,1),(284,1),(286,1),(287,1),(291,1),(350,1),(354,1),(358,1),(395,1),(397,1),(398,1),(411,1)}
       247:{2,5}:{(203,1),(209,1),(282,1)}
       248:{1,3,5}:{(204,1),(210,1),(221,1),(277,1),(284,1),(289,1),(290,1)}
       249:{1,2,6}:{(205,1),(206,1),(222,1),(278,1),(291,1),(411,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(223,1),(279,1),(291,1),(292,1),(358,1)}
       251:{1,4}:{(207,1),(224,1),(280,1)}
       252:{1,2,4}:{(209,1),(288,1),(293,1),(357,1)}
       253:{2,3}:{(209,1),(210,1),(293,1)}
       254:{2,5,7}:{(211,1),(212,1),(218,1),(294,1)}
       255:{1,4,6,7}:{(212,1),(213,1),(215,1),(219,1),(294,1),(295,1)}
       256:{2,4,7}:{(213,1),(214,1),(216,1),(296,1)}
       257:{3,6}:{(214,1),(221,1),(296,1)}
       258:{2,6,7}:{(215,1),(216,1),(222,1)}
       259:{2,3,5,7}:{(216,1),(217,1),(286,1),(296,1),(298,1),(299,1),(351,1),(359,1),(361,1),(362,1),(396,1)}
       260:{2,4,6}:{(217,1),(224,1),(287,1),(297,1),(299,1),(300,1),(364,1)}
       261:{1,5,6}:{(218,1),(219,1),(294,1),(301,1),(358,1)}
       262:{2,4,6}:{(219,1),(220,1),(222,1),(301,1),(302,1),(364,1)}
       263:{3,5,7}:{(220,1),(221,1),(296,1),(302,1),(303,1),(365,1)}
       264:{3,4}:{(221,1),(224,1)}
       265:{2,3,6}:{(222,1),(223,1),(291,1),(302,1),(304,1)}
       266:{2,4,7}:{(223,1),(224,1),(292,1),(303,1),(304,1)}
       267:{3,5,7}:{(225,1),(226,1),(232,1),(305,1)}
       268:{2,4,6,7}:{(226,1),(227,1),(229,1),(233,1),(305,1),(306,1)}
       269:{1,4,7}:{(227,1),(228,1),(230,1),(307,1),(401,1)}
       270:{2,4,6}:{(228,1),(231,1),(235,1),(307,1),(308,1)}
       271:{1,3,6,7}:{(229,1),(230,1),(236,1),(244,1),(306,1),(309,1),(367,1)}
       272:{2,5,7}:{(230,1),(231,1),(307,1),(309,1),(319,1)}
       273:{2,3,5,6}:{(231,1),(238,1),(246,1),(308,1),(310,1),(311,1),(316,1),(320,1),(369,1),(372,1),(374,1),(378,1),(403,1),(404,1),(407,1)}
       274:{2,5,6}:{(232,1),(233,1),(305,1),(312,1),(337,1)}
       275:{1,4,6}:{(233,1),(234,1),(236,1),(312,1),(313,1)}
       276:{2,4,5,7}:{(234,1),(235,1),(237,1),(307,1),(313,1),(314,1),(317,1),(366,1),(374,1),(401,1),(405,1)}
       277:{3,5}:{(235,1),(308,1),(315,1)}
       278:{2,6}:{(236,1),(237,1)}
       279:{2,3,5,7}:{(237,1),(238,1),(239,1),(250,1),(314,1),(316,1),(317,1),(374,1)}
       280:{2,4}:{(238,1),(251,1),(315,1)}
       281:{1,3,7}:{(240,1),(241,1),(242,1),(319,1)}
       282:{2,6}:{(241,1),(247,1),(319,1)}
       283:{1,2,4,7}:{(242,1),(243,1),(245,1),(256,1),(307,1),(319,1),(321,1),(324,1),(377,1)}
       284:{1,3,6}:{(243,1),(248,1),(257,1),(308,1),(320,1),(321,1)}
       285:{1,2,6,7}:{(244,1),(245,1),(249,1),(258,1),(309,1),(323,1),(407,1)}
       286:{1,3,5,7}:{(245,1),(246,1),(259,1),(310,1),(321,1),(323,1),(324,1),(375,1),(380,1),(406,1)}
       287:{1,4,6}:{(246,1),(251,1),(260,1),(311,1),(324,1),(325,1)}
       288:{1,2,5}:{(247,1),(252,1),(318,1),(326,1)}
       289:{2,3,5}:{(247,1),(248,1),(253,1),(320,1),(326,1),(327,1),(378,1)}
       290:{1,3,4}:{(248,1),(251,1),(264,1),(315,1),(327,1)}
       291:{1,3,6}:{(249,1),(250,1),(265,1),(316,1),(328,1)}
       292:{1,4,7}:{(250,1),(251,1),(266,1),(317,1),(328,1)}
       293:{1,3}:{(252,1),(253,1)}
       294:{1,5,7}:{(254,1),(255,1),(261,1),(329,1)}
       295:{2,4,6,7}:{(255,1),(256,1),(258,1),(262,1),(329,1),(330,1),(382,1)}
       296:{3,7}:{(256,1),(257,1)}
       297:{3,4,6}:{(257,1),(260,1),(264,1),(331,1),(332,1),(384,1)}
       298:{2,3,6,7}:{(258,1),(259,1),(265,1),(323,1),(330,1),(333,1),(384,1),(407,1)}
       299:{2,4,7}:{(259,1),(260,1),(324,1),(331,1),(382,1)}
       300:{2,4,5}:{(260,1),(325,1),(332,1),(337,1),(378,1),(386,1)}
       301:{2,5,6}:{(261,1),(262,1),(329,1),(335,1),(337,1)}
       302:{3,6}:{(262,1),(263,1)}
       303:{3,4,7}:{(263,1),(264,1),(266,1),(336,1),(382,1)}
       304:{2,4,6}:{(265,1),(266,1),(328,1),(336,1),(337,1)}
       305:{2,5,7}:{(267,1),(268,1),(274,1),(338,1)}
       306:{1,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(338,1),(339,1)}
       307:{2,4,7}:{(269,1),(270,1),(272,1),(340,1)}
       308:{3,6}:{(270,1),(277,1),(340,1)}
       309:{2,6,7}:{(271,1),(272,1),(278,1)}
       310:{2,3,5,7}:{(272,1),(273,1),(286,1),(340,1),(342,1),(343,1),(351,1),(387,1),(389,1),(390,1),(396,1)}
       311:{2,4,6}:{(273,1),(280,1),(287,1),(341,1),(343,1),(344,1),(392,1)}
       312:{1,5,6}:{(274,1),(275,1),(338,1),(345,1),(358,1)}
       313:{2,4,6}:{(275,1),(276,1),(278,1),(345,1),(346,1),(392,1)}
       314:{3,5,7}:{(276,1),(277,1),(340,1),(346,1),(347,1),(393,1)}
       315:{3,4}:{(277,1),(280,1)}
       316:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       317:{2,4,7}:{(279,1),(280,1),(292,1),(347,1),(348,1)}
       318:{1,2,6}:{(282,1),(288,1),(349,1),(350,1)}
       319:{2,7}:{(281,1),(282,1)}
       320:{2,3,6}:{(282,1),(284,1),(289,1),(350,1),(351,1),(352,1)}
       321:{1,3,7}:{(283,1),(284,1),(296,1),(340,1),(351,1)}
       322:{1,3,4,6}:{(284,1),(287,1),(290,1),(297,1),(341,1),(352,1),(353,1),(354,1),(397,1)}
       323:{1,3,6,7}:{(285,1),(286,1),(291,1),(298,1),(342,1),(355,1),(397,1),(411,1)}
       324:{1,4,7}:{(286,1),(287,1),(299,1),(343,1)}
       325:{1,4,5}:{(287,1),(300,1),(344,1),(354,1),(358,1),(395,1)}
       326:{1,3,5}:{(288,1),(289,1),(293,1),(350,1),(357,1),(395,1)}
       327:{2,4}:{(289,1),(290,1),(357,1)}
       328:{1,4,6}:{(291,1),(292,1),(304,1),(348,1),(358,1)}
       329:{2,5,7}:{(294,1),(295,1),(301,1),(359,1)}
       330:{3,6,7}:{(295,1),(296,1),(302,1),(359,1)}
       331:{3,4,7}:{(296,1),(297,1),(299,1),(361,1)}
       332:{3,5}:{(297,1),(300,1)}
       333:{2,4,6,7}:{(298,1),(299,1),(304,1),(355,1),(360,1),(362,1),(363,1)}
       334:{2,4,5,7}:{(299,1),(300,1),(356,1),(361,1),(362,1),(363,1),(396,1),(399,1)}
       335:{3,5,6}:{(301,1),(302,1),(359,1),(364,1),(365,1)}
       336:{3,4,6}:{(302,1),(303,1),(304,1),(364,1),(365,1)}
       337:{2,5}:{(304,1),(358,1),(365,1)}
       338:{1,5,7}:{(305,1),(306,1),(312,1),(366,1)}
       339:{2,4,6,7}:{(306,1),(307,1),(309,1),(313,1),(366,1),(367,1),(401,1)}
       340:{3,7}:{(307,1),(308,1)}
       341:{3,4,6}:{(308,1),(311,1),(315,1),(368,1),(369,1),(403,1)}
       342:{2,3,6,7}:{(309,1),(310,1),(316,1),(323,1),(367,1),(370,1),(403,1),(407,1)}
       343:{2,4,7}:{(310,1),(311,1),(324,1),(368,1),(401,1)}
       344:{2,4,5}:{(311,1),(325,1),(369,1),(374,1),(378,1),(405,1)}
       345:{2,5,6}:{(312,1),(313,1),(366,1),(372,1),(374,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{3,4,7}:{(314,1),(315,1),(317,1),(373,1),(401,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(373,1),(374,1)}
       349:{1,2,7}:{(318,1),(319,1),(375,1)}
       350:{1,3,6}:{(318,1),(320,1),(326,1),(375,1),(376,1)}
       351:{2,3,7}:{(319,1),(320,1),(321,1),(375,1),(377,1)}
       352:{2,4,6}:{(320,1),(322,1),(327,1),(376,1),(377,1),(378,1),(407,1)}
       353:{1,3,4,7}:{(321,1),(322,1),(324,1),(331,1),(368,1),(377,1),(379,1)}
       354:{1,3,5}:{(322,1),(325,1),(332,1),(369,1),(378,1)}
       355:{1,4,6,7}:{(323,1),(324,1),(328,1),(333,1),(370,1),(380,1),(381,1)}
       356:{1,4,5,7}:{(324,1),(325,1),(334,1),(371,1),(379,1),(380,1),(381,1),(406,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(335,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(334,1),(384,1)}
       362:{2,5,7}:{(333,1),(337,1),(380,1),(383,1),(385,1)}
       363:{2,4,6}:{(334,1),(381,1),(384,1),(385,1),(407,1),(408,1)}
       364:{4,6}:{(335,1),(382,1),(386,1)}
       365:{3,5}:{(336,1),(337,1),(386,1)}
       366:{2,5,7}:{(338,1),(339,1),(345,1),(387,1)}
       367:{3,6,7}:{(339,1),(340,1),(346,1),(387,1)}
       368:{3,4,7}:{(340,1),(341,1),(343,1),(389,1)}
       369:{3,5}:{(341,1),(344,1)}
       370:{2,4,6,7}:{(342,1),(343,1),(348,1),(355,1),(388,1),(390,1),(391,1)}
       371:{2,4,5,7}:{(343,1),(344,1),(356,1),(389,1),(390,1),(391,1),(396,1),(409,1)}
       372:{3,5,6}:{(345,1),(346,1),(387,1),(392,1),(393,1)}
       373:{3,4,6}:{(346,1),(347,1),(348,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(393,1)}
       375:{1,3,7}:{(349,1),(350,1),(351,1),(394,1)}
       376:{1,4,6}:{(350,1),(352,1),(357,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(351,1),(352,1),(353,1),(394,1),(396,1)}
       378:{2,5}:{(352,1),(354,1),(395,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(356,1),(361,1),(389,1),(396,1),(397,1)}
       380:{1,5,7}:{(355,1),(358,1),(362,1),(390,1),(398,1)}
       381:{1,4,6}:{(356,1),(363,1),(391,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(364,1)}
       383:{3,5,7}:{(360,1),(362,1),(365,1),(399,1),(400,1)}
       384:{3,6}:{(361,1),(363,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(400,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(372,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(370,1),(373,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(371,1),(403,1)}
       390:{2,5,7}:{(370,1),(374,1),(380,1),(402,1),(404,1)}
       391:{2,4,6}:{(371,1),(381,1),(403,1),(404,1),(407,1),(412,1)}
       392:{4,6}:{(372,1),(401,1),(405,1)}
       393:{3,5}:{(373,1),(374,1),(405,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(384,1),(403,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{4,5,7}:{(382,1),(383,1),(386,1),(408,1)}
       400:{3,5,6}:{(383,1),(384,1),(385,1),(408,1)}
       401:{4,7}:{(387,1),(392,1)}
       402:{3,5,7}:{(388,1),(390,1),(393,1),(409,1),(410,1)}
       403:{3,6}:{(389,1),(391,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(410,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(405,1),(412,1)}
       410:{3,5,6}:{(402,1),(403,1),(404,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 747 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 748 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 749 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(68,1),(74,1),(149,1),(153,1),(155,1),(165,1),(227,1),(249,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(25,1),(28,1),(68,1),(84,1),(85,1),(155,1),(227,1),(231,1),(304,1),(317,1),(371,1),(374,1)}
         2:{1,3,5,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(40,1),(45,1),(107,1),(109,1),(110,1),(200,1),(202,1),(292,1),(358,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(11,1),(12,1),(42,1),(193,1),(204,1),(264,1),(282,1)}
         4:{1,2,5,7}:{(0,1),(10,1),(12,1),(13,1),(108,1),(113,1),(198,1),(214,1),(274,1)}
         5:{2,4,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(277,1),(391,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(16,1),(17,1),(46,1),(51,1),(56,1),(108,1),(274,1),(339,1),(389,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(25,1),(58,1),(68,1),(138,1),(139,1),(155,1),(165,1),(169,1),(250,1),(263,1),(334,1),(337,1)}
         8:{1,2,4,5}:{(3,1),(20,1),(21,1),(64,1),(68,1),(147,1),(153,1),(161,1),(223,1),(236,1),(239,1),(247,1)}
         9:{1,4,6}:{(2,1),(5,1),(18,1),(21,1),(23,1),(247,1)}
        10:{1,3,5,7}:{(2,1),(4,1),(6,1),(19,1),(23,1),(24,1),(26,1),(73,1),(75,1),(154,1)}
        11:{1,3,6}:{(3,1),(20,1),(25,1),(26,1),(250,1),(304,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(26,1),(72,1),(242,1),(251,1),(305,1),(321,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(155,1),(246,1),(249,1),(261,1),(315,1)}
        14:{2,4,5}:{(5,1),(21,1),(28,1),(68,1),(374,1),(404,1)}
        15:{3,4,6}:{(5,1),(28,1),(31,1),(84,1),(304,1),(309,1)}
        16:{2,4,7}:{(5,1),(6,1),(23,1),(31,1),(403,1)}
        17:{2,3,6,7}:{(6,1),(24,1),(32,1),(84,1),(155,1),(315,1),(317,1),(368,1)}
        18:{2,4,6}:{(7,1),(9,1),(33,1),(34,1),(35,1),(217,1),(363,1)}
        19:{2,3,5,7}:{(7,1),(10,1),(35,1),(36,1),(46,1),(93,1),(98,1),(108,1),(214,1),(294,1),(361,1)}
        20:{1,3,5}:{(8,1),(11,1),(37,1),(38,1),(208,1),(268,1),(281,1)}
        21:{1,4,5}:{(9,1),(14,1),(33,1),(40,1),(107,1),(358,1)}
        22:{1,3,4,6}:{(9,1),(11,1),(15,1),(34,1),(37,1),(40,1),(42,1),(43,1),(109,1)}
        23:{1,4,7}:{(9,1),(10,1),(16,1),(35,1)}
        24:{1,3,6,7}:{(10,1),(13,1),(17,1),(36,1),(44,1),(109,1),(202,1),(292,1)}
        25:{2,3,6}:{(11,1),(38,1),(42,1),(45,1),(46,1),(282,1)}
        26:{1,3,7}:{(11,1),(12,1),(46,1),(294,1),(339,1)}
        27:{2,4,5,6}:{(14,1),(39,1),(48,1),(49,1),(52,1),(104,1),(114,1),(211,1),(212,1),(264,1),(344,1),(345,1),(391,1),(392,1)}
        28:{3,5}:{(14,1),(15,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(41,1),(51,1),(52,1),(56,1),(108,1),(129,1)}
        30:{2,3,4,6}:{(15,1),(42,1),(50,1),(53,1),(54,1),(99,1),(114,1),(125,1),(187,1),(190,1),(277,1),(338,1),(348,1),(352,1)}
        31:{3,4,7}:{(15,1),(16,1),(51,1),(339,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(44,1),(52,1),(55,1),(56,1),(348,1)}
        33:{2,4,5}:{(18,1),(21,1),(58,1),(68,1),(337,1),(385,1)}
        34:{3,4,6}:{(18,1),(58,1),(61,1),(138,1),(250,1),(255,1)}
        35:{2,4,7}:{(18,1),(19,1),(23,1),(61,1),(384,1)}
        36:{2,3,6,7}:{(19,1),(24,1),(62,1),(138,1),(155,1),(261,1),(263,1),(331,1)}
        37:{1,3,4}:{(20,1),(64,1),(247,1),(255,1),(309,1)}
        38:{2,3,5}:{(20,1),(25,1),(64,1),(65,1),(68,1),(239,1),(240,1)}
        39:{1,4,5,6}:{(21,1),(27,1),(57,1),(66,1),(67,1),(70,1),(149,1),(158,1),(220,1),(258,1),(312,1),(325,1),(380,1)}
        40:{1,3,5}:{(21,1),(22,1),(28,1),(58,1),(68,1)}
        41:{1,4,5,7}:{(21,1),(23,1),(29,1),(59,1),(69,1),(70,1),(73,1),(154,1)}
        42:{2,4,6}:{(22,1),(25,1),(64,1),(68,1),(71,1),(72,1),(155,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(26,1),(31,1),(61,1),(69,1),(72,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(32,1),(62,1),(70,1),(73,1),(328,1)}
        45:{1,3,6}:{(25,1),(65,1),(71,1),(74,1),(75,1)}
        46:{2,3,7}:{(25,1),(26,1),(72,1),(75,1),(321,1)}
        47:{3,4,5}:{(28,1),(76,1),(77,1),(309,1),(366,1),(404,1)}
        48:{3,5,6}:{(27,1),(28,1),(76,1),(80,1),(84,1),(304,1),(366,1),(401,1)}
        49:{2,4,5,7}:{(27,1),(67,1),(80,1),(81,1),(150,1),(159,1),(253,1),(254,1),(305,1),(369,1),(403,1)}
        50:{2,3,5}:{(28,1),(30,1),(68,1),(77,1),(82,1),(366,1),(374,1),(377,1)}
        51:{3,5,7}:{(28,1),(29,1),(31,1),(84,1)}
        52:{2,4,6}:{(29,1),(70,1),(84,1),(85,1),(155,1),(172,1)}
        53:{1,3,4,6}:{(30,1),(71,1),(82,1),(86,1),(87,1),(144,1),(156,1),(158,1),(171,1),(237,1),(247,1),(250,1),(255,1),(328,1),(333,1),(375,1)}
        54:{2,3,4,7}:{(30,1),(31,1),(72,1),(83,1),(87,1),(159,1),(235,1),(238,1),(316,1),(367,1),(378,1)}
        55:{3,4,6,7}:{(31,1),(32,1),(84,1),(88,1),(172,1),(368,1),(370,1),(403,1)}
        56:{2,5,7}:{(32,1),(73,1),(85,1),(88,1),(374,1)}
        57:{2,4,5,6}:{(33,1),(39,1),(90,1),(91,1),(94,1),(104,1),(174,1),(204,1),(271,1),(272,1),(299,1),(300,1),(363,1),(364,1)}
        58:{3,5}:{(33,1),(34,1)}
        59:{2,4,5,7}:{(33,1),(35,1),(41,1),(93,1),(94,1),(98,1),(108,1),(189,1)}
        60:{2,3,4,6}:{(34,1),(42,1),(92,1),(95,1),(96,1),(99,1),(127,1),(174,1),(185,1),(190,1),(217,1),(293,1),(303,1),(352,1)}
        61:{3,4,7}:{(34,1),(35,1),(93,1),(294,1)}
        62:{2,4,6,7}:{(35,1),(36,1),(44,1),(94,1),(97,1),(98,1),(303,1)}
        63:{1,3,4,5}:{(37,1),(40,1),(47,1),(89,1),(100,1),(101,1),(116,1),(176,1),(191,1),(208,1),(268,1),(287,1),(354,1)}
        64:{2,4}:{(37,1),(38,1),(102,1)}
        65:{1,3,5}:{(38,1),(45,1),(102,1),(103,1),(107,1),(196,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(48,1),(90,1),(100,1),(104,1),(105,1),(109,1),(354,1),(397,1)}
        67:{1,4,5,7}:{(39,1),(49,1),(91,1),(105,1),(106,1),(198,1),(205,1),(265,1),(296,1),(341,1)}
        68:{2,5}:{(40,1),(42,1),(107,1)}
        69:{1,3,5,7}:{(40,1),(41,1),(43,1),(51,1),(93,1),(108,1),(109,1)}
        70:{1,4,6}:{(41,1),(52,1),(94,1),(109,1),(110,1),(202,1)}
        71:{1,4,6}:{(42,1),(45,1),(102,1),(107,1),(112,1),(202,1)}
        72:{2,4,7}:{(42,1),(43,1),(46,1),(108,1),(112,1)}
        73:{1,5,7}:{(44,1),(56,1),(98,1),(110,1),(358,1)}
        74:{1,2,6}:{(45,1),(103,1),(113,1),(282,1)}
        75:{1,3,7}:{(45,1),(46,1),(112,1),(113,1)}
        76:{3,4,6}:{(47,1),(48,1),(114,1),(115,1),(391,1)}
        77:{2,4,5}:{(47,1),(50,1),(114,1),(116,1),(277,1)}
        78:{3,4,5,7}:{(47,1),(51,1),(115,1),(117,1),(118,1),(129,1),(207,1),(342,1),(387,1),(390,1),(410,1)}
        79:{2,3,5,6}:{(48,1),(50,1),(104,1),(114,1),(119,1),(120,1),(125,1),(190,1),(211,1)}
        80:{3,5,7}:{(48,1),(49,1),(115,1),(121,1),(339,1)}
        81:{2,4,6,7}:{(49,1),(52,1),(106,1),(121,1),(122,1),(199,1),(216,1),(392,1)}
        82:{1,3,5}:{(50,1),(53,1),(107,1),(116,1),(123,1),(208,1),(358,1),(362,1),(394,1)}
        83:{2,3,5,7}:{(50,1),(51,1),(54,1),(108,1),(117,1),(124,1),(125,1),(387,1),(396,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,5,6}:{(52,1),(56,1),(110,1),(126,1)}
        86:{2,4,6}:{(53,1),(123,1),(127,1),(128,1),(192,1),(217,1),(219,1),(282,1)}
        87:{1,3,4,7}:{(53,1),(54,1),(112,1),(124,1),(128,1),(203,1),(205,1),(283,1),(291,1),(294,1),(297,1),(395,1)}
        88:{3,5,7}:{(55,1),(56,1),(126,1),(129,1),(390,1)}
        89:{3,4,5}:{(58,1),(130,1),(131,1),(255,1),(329,1),(385,1)}
        90:{3,5,6}:{(57,1),(58,1),(130,1),(134,1),(138,1),(250,1),(329,1),(382,1)}
        91:{2,4,5,7}:{(57,1),(67,1),(134,1),(135,1),(150,1),(221,1),(251,1),(307,1),(308,1),(332,1),(384,1)}
        92:{2,3,5}:{(58,1),(60,1),(68,1),(131,1),(136,1),(329,1),(337,1),(377,1)}
        93:{3,5,7}:{(58,1),(59,1),(61,1),(138,1)}
        94:{2,4,6}:{(59,1),(70,1),(138,1),(139,1),(155,1),(234,1)}
        95:{1,3,4,6}:{(60,1),(71,1),(136,1),(140,1),(141,1),(144,1),(156,1),(220,1),(233,1),(237,1),(247,1),(304,1),(309,1),(328,1),(370,1),(375,1)}
        96:{2,3,4,7}:{(60,1),(61,1),(72,1),(137,1),(141,1),(173,1),(221,1),(238,1),(262,1),(330,1),(378,1)}
        97:{3,4,6,7}:{(61,1),(62,1),(138,1),(142,1),(234,1),(331,1),(333,1),(384,1)}
        98:{2,5,7}:{(62,1),(73,1),(139,1),(142,1),(337,1)}
        99:{2,3,4}:{(64,1),(143,1),(144,1),(240,1),(255,1),(309,1),(322,1)}
       100:{1,3,4,6}:{(63,1),(66,1),(76,1),(130,1),(145,1),(146,1),(158,1),(220,1),(237,1),(250,1),(304,1)}
       101:{2,4,5}:{(63,1),(64,1),(68,1),(143,1),(145,1),(147,1),(239,1),(322,1),(377,1)}
       102:{1,4}:{(64,1),(65,1)}
       103:{1,2,5}:{(65,1),(74,1),(148,1),(239,1)}
       104:{2,5,6}:{(66,1),(68,1),(145,1),(149,1),(150,1),(155,1),(377,1),(407,1)}
       105:{1,3,5,7}:{(66,1),(67,1),(80,1),(134,1),(146,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(67,1),(70,1),(81,1),(135,1),(151,1),(152,1),(246,1),(380,1)}
       107:{1,5}:{(68,1),(71,1)}
       108:{2,5,7}:{(68,1),(69,1),(72,1),(154,1),(155,1)}
       109:{1,3,6}:{(69,1),(70,1),(84,1),(138,1),(155,1)}
       110:{1,5,6}:{(70,1),(73,1),(85,1),(139,1)}
       111:{1,2,4,6}:{(71,1),(74,1),(86,1),(140,1),(148,1),(153,1),(156,1),(157,1),(236,1),(247,1),(249,1),(318,1),(328,1),(375,1)}
       112:{1,4,7}:{(71,1),(72,1),(75,1),(154,1)}
       113:{1,2,7}:{(74,1),(75,1),(321,1)}
       114:{2,4,6}:{(76,1),(77,1),(79,1),(158,1),(159,1)}
       115:{3,4,7}:{(76,1),(80,1),(159,1),(403,1)}
       116:{1,4,5}:{(77,1),(82,1),(158,1),(161,1),(247,1),(385,1)}
       117:{2,4,5,7}:{(77,1),(78,1),(83,1),(159,1),(162,1),(163,1),(253,1),(316,1),(374,1)}
       118:{3,4,6}:{(78,1),(84,1),(163,1),(164,1),(172,1),(401,1),(412,1)}
       119:{1,3,5,6}:{(79,1),(82,1),(149,1),(158,1),(165,1),(166,1),(171,1),(237,1),(250,1),(258,1),(334,1)}
       120:{2,3,5,7}:{(79,1),(80,1),(150,1),(159,1),(166,1),(167,1),(238,1),(253,1)}
       121:{3,6,7}:{(80,1),(81,1),(84,1),(401,1)}
       122:{2,5,6,7}:{(81,1),(85,1),(152,1),(168,1),(253,1),(369,1),(405,1)}
       123:{2,5}:{(82,1),(86,1)}
       124:{1,3,5,7}:{(82,1),(83,1),(87,1),(154,1),(162,1),(170,1),(171,1),(256,1),(406,1)}
       125:{2,3,6}:{(83,1),(84,1),(155,1),(163,1),(171,1),(401,1),(407,1)}
       126:{3,5,6}:{(84,1),(85,1),(88,1),(172,1)}
       127:{2,3,6}:{(86,1),(156,1),(169,1),(173,1),(240,1),(250,1)}
       128:{2,4,7}:{(86,1),(87,1),(170,1),(173,1),(321,1)}
       129:{4,5,7}:{(88,1),(172,1),(403,1),(404,1)}
       130:{3,4,6}:{(89,1),(90,1),(174,1),(175,1),(363,1)}
       131:{2,4,5}:{(89,1),(92,1),(174,1),(176,1),(217,1)}
       132:{3,4,5,7}:{(89,1),(93,1),(175,1),(177,1),(178,1),(189,1),(267,1),(297,1),(359,1),(362,1),(400,1)}
       133:{2,3,5,6}:{(90,1),(92,1),(104,1),(174,1),(179,1),(180,1),(185,1),(190,1),(271,1)}
       134:{3,5,7}:{(90,1),(91,1),(175,1),(181,1),(294,1)}
       135:{2,4,6,7}:{(91,1),(94,1),(106,1),(181,1),(182,1),(199,1),(276,1),(364,1)}
       136:{1,3,5}:{(92,1),(95,1),(107,1),(176,1),(183,1),(268,1),(358,1),(390,1),(394,1)}
       137:{2,3,5,7}:{(92,1),(93,1),(96,1),(108,1),(177,1),(184,1),(185,1),(359,1),(396,1)}
       138:{3,6}:{(93,1),(94,1)}
       139:{2,5,6}:{(94,1),(98,1),(110,1),(186,1)}
       140:{2,4,6}:{(95,1),(183,1),(187,1),(188,1),(192,1),(277,1),(279,1),(282,1)}
       141:{1,3,4,7}:{(95,1),(96,1),(112,1),(184,1),(188,1),(203,1),(265,1),(283,1),(291,1),(339,1),(342,1),(395,1)}
       142:{3,5,7}:{(97,1),(98,1),(186,1),(189,1),(362,1)}
       143:{2,3,5}:{(99,1),(101,1),(190,1),(191,1),(208,1),(268,1)}
       144:{1,3,4}:{(99,1),(102,1),(191,1),(192,1),(196,1),(281,1),(351,1)}
       145:{2,4,6}:{(100,1),(101,1),(104,1),(190,1),(193,1),(194,1),(282,1)}
       146:{1,3,4,7}:{(100,1),(105,1),(115,1),(175,1),(194,1),(205,1),(265,1),(283,1),(294,1),(339,1)}
       147:{1,4,5}:{(101,1),(102,1),(107,1),(191,1),(193,1),(351,1),(394,1)}
       148:{1,2,4}:{(102,1),(103,1),(192,1),(196,1)}
       149:{1,5,6}:{(104,1),(107,1),(193,1),(198,1),(202,1),(394,1),(411,1)}
       150:{2,5,7}:{(104,1),(105,1),(194,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(109,1),(121,1),(181,1),(199,1),(397,1)}
       152:{1,5,6,7}:{(106,1),(110,1),(122,1),(182,1),(296,1),(341,1),(398,1)}
       153:{1,2,5}:{(107,1),(111,1),(123,1),(183,1),(200,1),(358,1),(394,1)}
       154:{1,5,7}:{(107,1),(108,1),(112,1),(202,1)}
       155:{2,6}:{(108,1),(109,1),(202,1)}
       156:{1,3,6}:{(111,1),(127,1),(187,1),(196,1),(200,1),(203,1),(281,1)}
       157:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(188,1),(201,1),(203,1),(291,1),(350,1),(395,1)}
       158:{1,4,6}:{(114,1),(116,1),(119,1),(204,1),(205,1),(363,1)}
       159:{2,4,7}:{(114,1),(115,1),(120,1),(205,1)}
       160:{3,4,6,7}:{(115,1),(118,1),(121,1),(206,1),(207,1),(216,1)}
       161:{2,4,5}:{(116,1),(123,1),(204,1),(208,1),(217,1)}
       162:{1,4,5,7}:{(116,1),(117,1),(124,1),(205,1),(209,1),(210,1),(291,1),(296,1),(358,1)}
       163:{2,4,6}:{(117,1),(118,1),(125,1),(210,1),(211,1)}
       164:{3,5,6}:{(118,1),(207,1),(211,1),(212,1),(390,1)}
       165:{2,5,6}:{(119,1),(123,1),(204,1),(214,1),(219,1),(282,1)}
       166:{1,3,5,7}:{(119,1),(120,1),(198,1),(205,1),(214,1),(215,1),(283,1),(294,1),(296,1),(361,1)}
       167:{2,3,6,7}:{(120,1),(121,1),(125,1),(199,1),(206,1),(215,1)}
       168:{3,5,6,7}:{(121,1),(122,1),(126,1),(207,1),(216,1),(389,1),(409,1)}
       169:{2,3,5}:{(123,1),(127,1),(200,1),(208,1),(217,1)}
       170:{2,5,7}:{(123,1),(124,1),(128,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(202,1),(210,1),(219,1),(298,1),(411,1)}
       172:{4,6}:{(126,1),(129,1)}
       173:{2,3,7}:{(127,1),(128,1),(203,1),(294,1)}
       174:{2,4,6}:{(130,1),(131,1),(133,1),(220,1),(221,1)}
       175:{3,4,7}:{(130,1),(134,1),(221,1),(384,1)}
       176:{1,4,5}:{(131,1),(136,1),(220,1),(223,1),(247,1),(404,1)}
       177:{2,4,5,7}:{(131,1),(132,1),(137,1),(221,1),(224,1),(225,1),(262,1),(307,1),(337,1)}
       178:{3,4,6}:{(132,1),(138,1),(225,1),(226,1),(234,1),(382,1),(408,1)}
       179:{1,3,5,6}:{(133,1),(136,1),(149,1),(220,1),(227,1),(228,1),(233,1),(237,1),(304,1),(312,1),(371,1)}
       180:{2,3,5,7}:{(133,1),(134,1),(150,1),(221,1),(228,1),(229,1),(238,1),(307,1)}
       181:{3,6,7}:{(134,1),(135,1),(138,1),(382,1)}
       182:{2,5,6,7}:{(135,1),(139,1),(152,1),(230,1),(307,1),(332,1),(386,1)}
       183:{2,5}:{(136,1),(140,1)}
       184:{1,3,5,7}:{(136,1),(137,1),(141,1),(154,1),(224,1),(232,1),(233,1),(310,1),(406,1)}
       185:{2,3,6}:{(137,1),(138,1),(155,1),(225,1),(233,1),(382,1),(407,1)}
       186:{3,5,6}:{(138,1),(139,1),(142,1),(234,1)}
       187:{2,3,6}:{(140,1),(156,1),(231,1),(235,1),(240,1),(304,1)}
       188:{2,4,7}:{(140,1),(141,1),(232,1),(235,1),(321,1)}
       189:{4,5,7}:{(142,1),(234,1),(384,1),(385,1)}
       190:{2,3,6}:{(143,1),(145,1),(237,1),(238,1),(250,1),(304,1)}
       191:{1,3,5}:{(143,1),(144,1),(147,1),(237,1),(239,1)}
       192:{2,4}:{(144,1),(239,1),(240,1)}
       193:{1,4,6}:{(145,1),(147,1),(149,1),(237,1),(242,1)}
       194:{2,4,7}:{(145,1),(146,1),(150,1),(238,1),(242,1),(321,1)}
       195:{1,2,4,5}:{(147,1),(148,1),(153,1),(161,1),(223,1),(239,1),(241,1),(243,1),(247,1),(322,1),(325,1),(377,1)}
       196:{1,3}:{(148,1),(240,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(165,1),(227,1),(241,1),(244,1),(245,1),(249,1),(318,1),(377,1),(407,1)}
       198:{1,5,7}:{(149,1),(150,1),(242,1),(246,1)}
       199:{2,6,7}:{(150,1),(151,1),(155,1),(246,1),(407,1)}
       200:{1,3,5}:{(153,1),(156,1),(169,1),(231,1),(247,1)}
       201:{1,2,5,7}:{(153,1),(154,1),(157,1),(170,1),(232,1),(248,1),(249,1),(406,1)}
       202:{1,6}:{(154,1),(155,1)}
       203:{1,3,7}:{(156,1),(157,1),(173,1),(235,1)}
       204:{2,4,6}:{(158,1),(161,1),(165,1),(250,1),(251,1)}
       205:{1,4,7}:{(158,1),(159,1),(166,1),(251,1),(384,1)}
       206:{2,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(252,1),(253,1)}
       207:{3,5,7}:{(160,1),(164,1),(253,1),(254,1)}
       208:{3,5}:{(161,1),(250,1),(255,1)}
       209:{2,4,5,7}:{(161,1),(162,1),(170,1),(251,1),(256,1),(257,1),(262,1),(332,1),(337,1),(384,1),(385,1)}
       210:{1,4,6}:{(162,1),(163,1),(171,1),(257,1),(258,1)}
       211:{2,5,6}:{(163,1),(164,1),(253,1),(258,1),(374,1)}
       212:{4,5,6}:{(164,1),(172,1),(254,1),(404,1),(412,1)}
       213:{2,3,5,6}:{(165,1),(169,1),(244,1),(250,1),(259,1),(260,1),(263,1),(320,1),(329,1),(334,1),(337,1),(377,1),(382,1),(386,1),(407,1)}
       214:{2,5,7}:{(165,1),(166,1),(251,1),(261,1),(321,1)}
       215:{1,3,6,7}:{(166,1),(167,1),(171,1),(246,1),(252,1),(261,1),(331,1)}
       216:{4,6,7}:{(168,1),(172,1),(254,1),(403,1),(412,1)}
       217:{2,4}:{(169,1),(247,1),(255,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(173,1),(248,1),(256,1),(262,1),(263,1),(337,1)}
       219:{2,6}:{(170,1),(171,1)}
       220:{1,4,6}:{(174,1),(176,1),(179,1),(264,1),(265,1),(391,1)}
       221:{2,4,7}:{(174,1),(175,1),(180,1),(265,1)}
       222:{3,4,6,7}:{(175,1),(178,1),(181,1),(266,1),(267,1),(276,1)}
       223:{2,4,5}:{(176,1),(183,1),(264,1),(268,1),(277,1)}
       224:{1,4,5,7}:{(176,1),(177,1),(184,1),(265,1),(269,1),(270,1),(291,1),(341,1),(358,1)}
       225:{2,4,6}:{(177,1),(178,1),(185,1),(270,1),(271,1)}
       226:{3,5,6}:{(178,1),(267,1),(271,1),(272,1),(362,1)}
       227:{2,5,6}:{(179,1),(183,1),(264,1),(274,1),(279,1),(282,1)}
       228:{1,3,5,7}:{(179,1),(180,1),(198,1),(265,1),(274,1),(275,1),(283,1),(339,1),(341,1),(389,1)}
       229:{2,3,6,7}:{(180,1),(181,1),(185,1),(199,1),(266,1),(275,1)}
       230:{3,5,6,7}:{(181,1),(182,1),(186,1),(267,1),(276,1),(361,1),(399,1)}
       231:{2,3,5}:{(183,1),(187,1),(200,1),(268,1),(277,1)}
       232:{2,5,7}:{(183,1),(184,1),(188,1),(279,1)}
       233:{1,3,6}:{(184,1),(185,1),(202,1),(270,1),(279,1),(343,1),(411,1)}
       234:{4,6}:{(186,1),(189,1)}
       235:{2,3,7}:{(187,1),(188,1),(203,1),(339,1)}
       236:{1,2,4}:{(192,1),(280,1),(281,1),(351,1)}
       237:{1,3,6}:{(190,1),(191,1),(193,1),(282,1),(283,1)}
       238:{2,3,7}:{(190,1),(194,1),(283,1),(294,1),(339,1)}
       239:{2,5}:{(191,1),(192,1),(282,1)}
       240:{2,3}:{(192,1),(196,1),(281,1)}
       241:{1,2,4,6}:{(193,1),(195,1),(197,1),(204,1),(264,1),(282,1),(285,1),(286,1),(288,1),(352,1)}
       242:{1,4,7}:{(193,1),(194,1),(198,1),(283,1)}
       243:{1,3,5}:{(195,1),(196,1),(208,1),(268,1),(284,1),(285,1),(287,1)}
       244:{1,3,5,6}:{(197,1),(200,1),(213,1),(273,1),(285,1),(288,1),(289,1),(292,1),(349,1),(354,1),(358,1),(394,1),(397,1),(398,1),(411,1)}
       245:{1,2,5,7}:{(197,1),(198,1),(214,1),(274,1),(286,1),(289,1),(290,1),(350,1),(396,1)}
       246:{1,6,7}:{(198,1),(199,1),(202,1),(411,1)}
       247:{1,4}:{(200,1),(217,1),(277,1)}
       248:{1,3,5,7}:{(200,1),(201,1),(203,1),(218,1),(278,1),(291,1),(292,1),(358,1)}
       249:{1,2,6}:{(201,1),(202,1),(219,1),(279,1),(292,1),(411,1)}
       250:{3,6}:{(204,1),(208,1),(294,1)}
       251:{2,4,7}:{(204,1),(205,1),(214,1),(294,1)}
       252:{1,4,6,7}:{(205,1),(206,1),(210,1),(215,1),(295,1),(296,1)}
       253:{2,5,7}:{(206,1),(207,1),(211,1),(296,1)}
       254:{4,5,7}:{(207,1),(212,1),(216,1)}
       255:{3,4}:{(208,1),(217,1)}
       256:{3,5,7}:{(208,1),(209,1),(294,1),(297,1),(298,1),(362,1)}
       257:{2,4,6}:{(209,1),(210,1),(219,1),(298,1),(299,1),(363,1)}
       258:{1,5,6}:{(210,1),(211,1),(296,1),(299,1),(358,1)}
       259:{2,4,6}:{(213,1),(217,1),(288,1),(293,1),(300,1),(301,1),(363,1)}
       260:{2,3,5,7}:{(213,1),(214,1),(289,1),(294,1),(301,1),(302,1),(353,1),(359,1),(361,1),(365,1),(396,1)}
       261:{2,6,7}:{(214,1),(215,1),(219,1)}
       262:{2,4,7}:{(217,1),(218,1),(291,1),(297,1),(303,1)}
       263:{2,3,6}:{(218,1),(219,1),(292,1),(298,1),(303,1)}
       264:{2,4,6}:{(220,1),(223,1),(227,1),(304,1),(305,1)}
       265:{1,4,7}:{(220,1),(221,1),(228,1),(305,1),(403,1)}
       266:{2,4,6,7}:{(221,1),(222,1),(225,1),(229,1),(306,1),(307,1)}
       267:{3,5,7}:{(222,1),(226,1),(307,1),(308,1)}
       268:{3,5}:{(223,1),(304,1),(309,1)}
       269:{2,4,5,7}:{(223,1),(224,1),(232,1),(305,1),(310,1),(311,1),(316,1),(369,1),(374,1),(403,1),(404,1)}
       270:{1,4,6}:{(224,1),(225,1),(233,1),(311,1),(312,1)}
       271:{2,5,6}:{(225,1),(226,1),(307,1),(312,1),(337,1)}
       272:{4,5,6}:{(226,1),(234,1),(308,1),(385,1),(408,1)}
       273:{2,3,5,6}:{(227,1),(231,1),(244,1),(304,1),(313,1),(314,1),(317,1),(320,1),(366,1),(371,1),(374,1),(377,1),(401,1),(405,1),(407,1)}
       274:{2,5,7}:{(227,1),(228,1),(305,1),(315,1),(321,1)}
       275:{1,3,6,7}:{(228,1),(229,1),(233,1),(246,1),(306,1),(315,1),(368,1)}
       276:{4,6,7}:{(230,1),(234,1),(308,1),(384,1),(408,1)}
       277:{2,4}:{(231,1),(247,1),(309,1)}
       278:{2,3,5,7}:{(231,1),(232,1),(235,1),(248,1),(310,1),(316,1),(317,1),(374,1)}
       279:{2,6}:{(232,1),(233,1)}
       280:{1,2,5}:{(236,1),(239,1),(318,1),(319,1)}
       281:{1,3}:{(236,1),(240,1)}
       282:{2,6}:{(237,1),(239,1),(321,1)}
       283:{1,3,7}:{(237,1),(238,1),(242,1),(321,1)}
       284:{2,3,5}:{(239,1),(240,1),(243,1),(319,1),(320,1),(322,1),(377,1)}
       285:{1,3,6}:{(241,1),(243,1),(250,1),(304,1),(320,1),(324,1)}
       286:{1,2,4,7}:{(241,1),(242,1),(245,1),(251,1),(305,1),(321,1),(324,1),(326,1),(378,1)}
       287:{1,3,4}:{(243,1),(247,1),(255,1),(309,1),(322,1)}
       288:{1,4,6}:{(244,1),(247,1),(259,1),(313,1),(325,1),(326,1)}
       289:{1,3,5,7}:{(244,1),(245,1),(260,1),(314,1),(324,1),(326,1),(327,1),(376,1),(381,1),(406,1)}
       290:{1,2,6,7}:{(245,1),(246,1),(249,1),(261,1),(315,1),(327,1),(407,1)}
       291:{1,4,7}:{(247,1),(248,1),(262,1),(316,1),(328,1)}
       292:{1,3,6}:{(248,1),(249,1),(263,1),(317,1),(328,1)}
       293:{3,4,6}:{(250,1),(255,1),(259,1),(329,1),(330,1),(382,1)}
       294:{3,7}:{(250,1),(251,1)}
       295:{2,4,6,7}:{(251,1),(252,1),(257,1),(261,1),(331,1),(332,1),(384,1)}
       296:{1,5,7}:{(252,1),(253,1),(258,1),(332,1)}
       297:{3,4,7}:{(255,1),(256,1),(262,1),(333,1),(384,1)}
       298:{3,6}:{(256,1),(257,1)}
       299:{2,5,6}:{(257,1),(258,1),(332,1),(334,1),(337,1)}
       300:{2,4,5}:{(259,1),(325,1),(329,1),(337,1),(377,1),(385,1)}
       301:{2,4,7}:{(259,1),(260,1),(326,1),(330,1),(384,1)}
       302:{2,3,6,7}:{(260,1),(261,1),(263,1),(327,1),(331,1),(336,1),(382,1),(407,1)}
       303:{2,4,6}:{(262,1),(263,1),(328,1),(333,1),(337,1)}
       304:{3,6}:{(264,1),(268,1),(339,1)}
       305:{2,4,7}:{(264,1),(265,1),(274,1),(339,1)}
       306:{1,4,6,7}:{(265,1),(266,1),(270,1),(275,1),(340,1),(341,1)}
       307:{2,5,7}:{(266,1),(267,1),(271,1),(341,1)}
       308:{4,5,7}:{(267,1),(272,1),(276,1)}
       309:{3,4}:{(268,1),(277,1)}
       310:{3,5,7}:{(268,1),(269,1),(339,1),(342,1),(343,1),(390,1)}
       311:{2,4,6}:{(269,1),(270,1),(279,1),(343,1),(344,1),(391,1)}
       312:{1,5,6}:{(270,1),(271,1),(341,1),(344,1),(358,1)}
       313:{2,4,6}:{(273,1),(277,1),(288,1),(338,1),(345,1),(346,1),(391,1)}
       314:{2,3,5,7}:{(273,1),(274,1),(289,1),(339,1),(346,1),(347,1),(353,1),(387,1),(389,1),(393,1),(396,1)}
       315:{2,6,7}:{(274,1),(275,1),(279,1)}
       316:{2,4,7}:{(277,1),(278,1),(291,1),(342,1),(348,1)}
       317:{2,3,6}:{(278,1),(279,1),(292,1),(343,1),(348,1)}
       318:{1,2,6}:{(280,1),(282,1),(349,1),(350,1)}
       319:{1,3,5}:{(280,1),(281,1),(284,1),(349,1),(351,1),(394,1)}
       320:{2,3,6}:{(282,1),(284,1),(285,1),(349,1),(352,1),(353,1)}
       321:{2,7}:{(282,1),(283,1)}
       322:{2,4}:{(284,1),(287,1),(351,1)}
       323:{1,3,4,6}:{(285,1),(287,1),(288,1),(293,1),(338,1),(352,1),(354,1),(355,1),(397,1)}
       324:{1,3,7}:{(285,1),(286,1),(294,1),(339,1),(353,1)}
       325:{1,4,5}:{(288,1),(300,1),(345,1),(354,1),(358,1),(394,1)}
       326:{1,4,7}:{(288,1),(289,1),(301,1),(346,1)}
       327:{1,3,6,7}:{(289,1),(290,1),(292,1),(302,1),(347,1),(357,1),(397,1),(411,1)}
       328:{1,4,6}:{(291,1),(292,1),(303,1),(348,1),(358,1)}
       329:{3,5}:{(293,1),(300,1)}
       330:{3,4,7}:{(293,1),(294,1),(301,1),(359,1)}
       331:{3,6,7}:{(294,1),(295,1),(298,1),(361,1)}
       332:{2,5,7}:{(295,1),(296,1),(299,1),(361,1)}
       333:{3,4,6}:{(297,1),(298,1),(303,1),(362,1),(363,1)}
       334:{3,5,6}:{(298,1),(299,1),(361,1),(362,1),(363,1)}
       335:{2,4,5,7}:{(300,1),(301,1),(356,1),(359,1),(364,1),(365,1),(396,1),(400,1)}
       336:{2,4,6,7}:{(301,1),(302,1),(303,1),(357,1),(360,1),(364,1),(365,1)}
       337:{2,5}:{(303,1),(358,1),(362,1)}
       338:{3,4,6}:{(304,1),(309,1),(313,1),(366,1),(367,1),(401,1)}
       339:{3,7}:{(304,1),(305,1)}
       340:{2,4,6,7}:{(305,1),(306,1),(311,1),(315,1),(368,1),(369,1),(403,1)}
       341:{1,5,7}:{(306,1),(307,1),(312,1),(369,1)}
       342:{3,4,7}:{(309,1),(310,1),(316,1),(370,1),(403,1)}
       343:{3,6}:{(310,1),(311,1)}
       344:{2,5,6}:{(311,1),(312,1),(369,1),(371,1),(374,1)}
       345:{2,4,5}:{(313,1),(325,1),(366,1),(374,1),(377,1),(404,1)}
       346:{2,4,7}:{(313,1),(314,1),(326,1),(367,1),(403,1)}
       347:{2,3,6,7}:{(314,1),(315,1),(317,1),(327,1),(368,1),(373,1),(401,1),(407,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(370,1),(374,1)}
       349:{1,3,6}:{(318,1),(319,1),(320,1),(375,1),(376,1)}
       350:{1,2,7}:{(318,1),(321,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,4,6}:{(320,1),(322,1),(323,1),(375,1),(377,1),(378,1),(407,1)}
       353:{2,3,7}:{(320,1),(321,1),(324,1),(376,1),(378,1)}
       354:{1,3,5}:{(323,1),(325,1),(329,1),(366,1),(377,1)}
       355:{1,3,4,7}:{(323,1),(324,1),(326,1),(330,1),(367,1),(378,1),(379,1)}
       356:{1,4,5,7}:{(325,1),(326,1),(335,1),(372,1),(379,1),(380,1),(381,1),(406,1)}
       357:{1,4,6,7}:{(326,1),(327,1),(328,1),(336,1),(373,1),(380,1),(381,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(335,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(334,1),(384,1)}
       362:{3,5}:{(333,1),(337,1),(385,1)}
       363:{4,6}:{(334,1),(384,1),(385,1)}
       364:{2,4,6}:{(335,1),(380,1),(382,1),(386,1),(407,1),(408,1)}
       365:{2,5,7}:{(336,1),(337,1),(381,1),(383,1),(386,1)}
       366:{3,5}:{(338,1),(345,1)}
       367:{3,4,7}:{(338,1),(339,1),(346,1),(387,1)}
       368:{3,6,7}:{(339,1),(340,1),(343,1),(389,1)}
       369:{2,5,7}:{(340,1),(341,1),(344,1),(389,1)}
       370:{3,4,6}:{(342,1),(343,1),(348,1),(390,1),(391,1)}
       371:{3,5,6}:{(343,1),(344,1),(389,1),(390,1),(391,1)}
       372:{2,4,5,7}:{(345,1),(346,1),(356,1),(387,1),(392,1),(393,1),(396,1),(410,1)}
       373:{2,4,6,7}:{(346,1),(347,1),(348,1),(357,1),(388,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(390,1)}
       375:{1,4,6}:{(349,1),(351,1),(352,1),(394,1),(395,1),(411,1)}
       376:{1,3,7}:{(349,1),(350,1),(353,1),(395,1)}
       377:{2,5}:{(352,1),(354,1),(394,1)}
       378:{2,4,7}:{(352,1),(353,1),(355,1),(395,1),(396,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(356,1),(359,1),(387,1),(396,1),(397,1)}
       380:{1,4,6}:{(356,1),(364,1),(392,1),(397,1),(398,1),(411,1)}
       381:{1,5,7}:{(357,1),(358,1),(365,1),(393,1),(398,1)}
       382:{3,6}:{(359,1),(364,1)}
       383:{3,5,7}:{(360,1),(362,1),(365,1),(399,1),(400,1)}
       384:{4,7}:{(361,1),(363,1)}
       385:{4,5}:{(362,1),(363,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(399,1)}
       387:{3,5,7}:{(366,1),(367,1),(372,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(370,1),(373,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(371,1),(403,1)}
       390:{3,5}:{(370,1),(374,1),(404,1)}
       391:{4,6}:{(371,1),(403,1),(404,1)}
       392:{2,4,6}:{(372,1),(380,1),(401,1),(405,1),(407,1),(412,1)}
       393:{2,5,7}:{(373,1),(374,1),(381,1),(402,1),(405,1)}
       394:{1,5}:{(375,1),(377,1)}
       395:{1,4,7}:{(375,1),(376,1),(378,1),(406,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(380,1),(382,1),(401,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{3,5,6}:{(382,1),(383,1),(386,1),(408,1)}
       400:{4,5,7}:{(383,1),(384,1),(385,1),(408,1)}
       401:{3,6}:{(387,1),(392,1)}
       402:{3,5,7}:{(388,1),(390,1),(393,1),(409,1),(410,1)}
       403:{4,7}:{(389,1),(391,1)}
       404:{4,5}:{(390,1),(391,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(409,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{3,5,6}:{(401,1),(402,1),(405,1),(412,1)}
       410:{4,5,7}:{(402,1),(403,1),(404,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 750 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 751 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 752 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(4,1),(5,1),(6,1),(19,1),(25,1),(27,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(11,1),(34,1)}
         3:{1,2,6}:{(0,1),(9,1),(10,1),(69,1)}
         4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(33,1),(37,1),(68,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(41,1),(69,1)}
         6:{2,4}:{(1,1),(11,1),(12,1)}
         7:{2,3,5}:{(4,1),(16,1),(17,1),(19,1),(46,1),(48,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,2,7}:{(3,1),(21,1),(85,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(84,1)}
        11:{1,4}:{(4,1),(6,1),(17,1)}
        12:{3,4}:{(6,1),(25,1)}
        13:{2,3,7}:{(5,1),(21,1),(26,1),(59,1),(85,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(27,1),(60,1)}
        15:{2,4,5}:{(6,1),(23,1),(25,1),(27,1),(28,1),(51,1),(56,1)}
        16:{2,3,6}:{(7,1),(10,1),(30,1),(31,1),(64,1),(69,1)}
        17:{2,4}:{(7,1),(11,1),(29,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(11,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,3,7}:{(9,1),(10,1),(13,1),(30,1),(36,1),(95,1)}
        22:{1,4,6}:{(10,1),(11,1),(14,1),(31,1),(36,1),(37,1),(71,1)}
        23:{1,4,5}:{(11,1),(15,1),(32,1),(35,1),(37,1),(38,1),(68,1)}
        24:{3,4,6}:{(12,1),(14,1),(39,1),(40,1),(41,1),(74,1),(75,1)}
        25:{3,5}:{(12,1),(15,1),(41,1)}
        26:{2,4,7}:{(13,1),(14,1),(36,1),(39,1),(42,1)}
        27:{2,5}:{(14,1),(37,1),(40,1)}
        28:{2,4,6}:{(15,1),(38,1),(41,1),(43,1),(44,1),(69,1),(74,1)}
        29:{3,4}:{(17,1),(46,1)}
        30:{2,3,7}:{(16,1),(21,1),(47,1),(81,1),(85,1)}
        31:{2,4,6}:{(16,1),(17,1),(22,1),(45,1),(47,1),(48,1),(82,1)}
        32:{2,4,5}:{(17,1),(23,1),(46,1),(48,1),(49,1),(51,1),(78,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(23,1),(25,1),(46,1),(51,1),(52,1)}
        36:{1,4,7}:{(21,1),(22,1),(26,1),(47,1),(53,1)}
        37:{1,5}:{(22,1),(27,1),(48,1)}
        38:{1,4,6}:{(23,1),(28,1),(49,1),(52,1),(54,1),(55,1),(84,1)}
        39:{3,4,7}:{(24,1),(26,1),(57,1),(59,1),(88,1)}
        40:{3,5}:{(24,1),(27,1),(56,1)}
        41:{3,6}:{(25,1),(28,1),(59,1)}
        42:{2,5,7}:{(26,1),(27,1),(53,1),(57,1),(60,1)}
        43:{2,5,6}:{(27,1),(28,1),(54,1),(58,1),(60,1),(61,1)}
        44:{2,4,7}:{(28,1),(55,1),(59,1),(61,1),(85,1),(88,1)}
        45:{3,4,6}:{(29,1),(31,1),(62,1),(63,1),(64,1),(91,1),(92,1)}
        46:{3,5}:{(29,1),(32,1),(64,1)}
        47:{2,4,7}:{(30,1),(31,1),(36,1),(62,1),(65,1)}
        48:{2,5}:{(31,1),(37,1),(63,1)}
        49:{2,4,6}:{(32,1),(38,1),(64,1),(66,1),(67,1),(69,1),(91,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(38,1),(41,1),(64,1),(69,1),(70,1)}
        53:{1,5,7}:{(36,1),(37,1),(42,1),(65,1),(71,1)}
        54:{1,5,6}:{(37,1),(38,1),(43,1),(66,1),(71,1),(72,1)}
        55:{1,4,7}:{(38,1),(44,1),(67,1),(70,1),(72,1),(95,1)}
        56:{4,5}:{(40,1),(74,1)}
        57:{3,5,7}:{(39,1),(40,1),(42,1),(73,1),(75,1)}
        58:{3,5,6}:{(40,1),(41,1),(43,1),(74,1),(75,1),(76,1),(96,1)}
        59:{3,7}:{(41,1),(44,1)}
        60:{2,6}:{(42,1),(71,1),(75,1)}
        61:{2,5,7}:{(43,1),(44,1),(72,1),(76,1),(77,1)}
        62:{3,4,7}:{(45,1),(47,1),(79,1),(81,1),(99,1)}
        63:{3,5}:{(45,1),(48,1),(78,1)}
        64:{3,6}:{(46,1),(49,1),(81,1)}
        65:{2,5,7}:{(47,1),(48,1),(53,1),(79,1),(82,1)}
        66:{2,5,6}:{(48,1),(49,1),(54,1),(80,1),(82,1),(83,1)}
        67:{2,4,7}:{(49,1),(55,1),(81,1),(83,1),(85,1),(99,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(55,1),(59,1),(81,1),(85,1)}
        71:{1,6}:{(53,1),(60,1),(82,1)}
        72:{1,5,7}:{(54,1),(55,1),(61,1),(83,1),(86,1)}
        73:{4,5,7}:{(56,1),(57,1),(87,1),(88,1),(101,1)}
        74:{4,6}:{(56,1),(58,1),(88,1)}
        75:{3,6}:{(57,1),(60,1),(87,1)}
        76:{3,5,7}:{(58,1),(59,1),(61,1),(88,1),(89,1),(101,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(89,1)}
        78:{4,5}:{(63,1),(91,1)}
        79:{3,5,7}:{(62,1),(63,1),(65,1),(90,1),(92,1)}
        80:{3,5,6}:{(63,1),(64,1),(66,1),(91,1),(92,1),(93,1),(102,1)}
        81:{3,7}:{(64,1),(67,1)}
        82:{2,6}:{(65,1),(71,1),(92,1)}
        83:{2,5,7}:{(66,1),(67,1),(72,1),(93,1),(94,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,6}:{(73,1),(75,1),(96,1)}
        88:{4,7}:{(74,1),(76,1)}
        89:{3,6,7}:{(75,1),(76,1),(77,1),(97,1)}
        90:{4,5,7}:{(78,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,6}:{(78,1),(80,1),(99,1)}
        92:{3,6}:{(79,1),(82,1),(98,1)}
        93:{3,5,7}:{(80,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{5,6}:{(87,1),(101,1)}
        97:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(92,1),(102,1)}
        99:{4,7}:{(91,1),(93,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 753 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 754 :   0:{1,2,6,7}:{(2,1),(3,1),(115,1),(197,1),(200,1),(215,1),(270,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(65,1),(115,1),(270,1),(273,1),(336,1)}
         2:{1,3,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(80,1),(156,1),(243,1)}
         3:{1,2,5,7}:{(0,1),(8,1),(9,1),(10,1),(81,1),(88,1),(238,1),(256,1),(307,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(14,1),(41,1),(311,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(12,1),(13,1),(14,1),(37,1),(42,1),(81,1),(307,1),(363,1),(367,1)}
         6:{2,3,6,7}:{(2,1),(15,1),(16,1),(107,1),(115,1),(215,1),(218,1),(291,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(19,1),(52,1),(284,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(5,1),(16,1),(17,1),(18,1),(19,1),(21,1),(59,1),(116,1)}
         9:{1,2,5,6}:{(3,1),(18,1),(20,1),(115,1),(118,1),(123,1),(199,1),(200,1),(204,1),(217,1),(272,1)}
        10:{1,2,4,7}:{(3,1),(19,1),(20,1),(21,1),(56,1),(278,1),(294,1),(339,1),(346,1)}
        11:{3,4,6,7}:{(4,1),(22,1),(26,1),(61,1),(65,1),(336,1),(338,1),(385,1)}
        12:{2,5,7}:{(4,1),(17,1),(22,1),(23,1),(344,1)}
        13:{2,3,5,6}:{(5,1),(18,1),(23,1),(25,1),(58,1),(65,1),(67,1),(115,1),(118,1),(272,1),(273,1),(276,1),(337,1),(342,1),(344,1)}
        14:{2,4,7}:{(5,1),(19,1),(25,1),(26,1),(385,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(30,1),(73,1),(260,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(28,1),(29,1),(30,1),(37,1),(74,1),(81,1),(256,1),(326,1),(330,1)}
        17:{1,5,7}:{(7,1),(12,1),(28,1),(31,1),(321,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(13,1),(29,1),(31,1),(33,1),(36,1),(80,1),(82,1),(87,1),(156,1),(159,1),(243,1),(247,1),(321,1)}
        19:{1,4,7}:{(8,1),(14,1),(30,1),(33,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(35,1),(36,1),(83,1),(241,1),(258,1),(309,1),(318,1)}
        21:{1,3,7}:{(10,1),(36,1),(37,1),(330,1),(367,1)}
        22:{3,5,7}:{(11,1),(12,1),(38,1),(39,1),(366,1)}
        23:{2,5,6}:{(12,1),(31,1),(38,1),(41,1)}
        24:{2,4,5,7}:{(12,1),(14,1),(32,1),(39,1),(41,1),(42,1),(43,1),(81,1)}
        25:{2,4,6}:{(13,1),(14,1),(33,1),(43,1),(44,1),(313,1),(365,1)}
        26:{3,4,7}:{(14,1),(42,1),(44,1),(367,1)}
        27:{3,4,6,7}:{(15,1),(46,1),(50,1),(103,1),(107,1),(291,1),(293,1),(356,1)}
        28:{2,5,7}:{(15,1),(17,1),(46,1),(47,1),(299,1)}
        29:{2,3,5,6}:{(16,1),(18,1),(47,1),(49,1),(58,1),(107,1),(109,1),(115,1),(118,1),(217,1),(218,1),(221,1),(292,1),(297,1),(299,1)}
        30:{2,4,7}:{(16,1),(19,1),(49,1),(50,1),(356,1)}
        31:{1,5,6}:{(17,1),(23,1),(47,1),(52,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(24,1),(48,1),(52,1),(53,1),(54,1),(116,1)}
        33:{1,4,6}:{(18,1),(19,1),(25,1),(49,1),(54,1),(287,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(26,1),(50,1),(53,1),(55,1),(56,1)}
        35:{1,2,4,5}:{(20,1),(54,1),(57,1),(118,1),(121,1),(203,1),(204,1),(220,1),(275,1),(285,1),(287,1),(288,1)}
        36:{1,3,6}:{(20,1),(21,1),(57,1),(58,1),(297,1),(342,1)}
        37:{2,3,7}:{(21,1),(56,1),(58,1),(59,1),(346,1)}
        38:{3,5,6}:{(22,1),(23,1),(61,1),(65,1)}
        39:{4,5,7}:{(22,1),(61,1),(385,1),(387,1)}
        40:{2,5,6,7}:{(23,1),(51,1),(60,1),(63,1),(208,1),(335,1),(390,1)}
        41:{2,4,6}:{(23,1),(24,1),(52,1),(61,1),(65,1),(115,1)}
        42:{3,5,7}:{(24,1),(26,1),(65,1),(67,1)}
        43:{2,4,5}:{(25,1),(54,1),(67,1),(118,1),(344,1),(387,1)}
        44:{3,4,6}:{(25,1),(26,1),(65,1),(67,1),(342,1),(345,1)}
        45:{2,3,4,7}:{(26,1),(56,1),(66,1),(68,1),(69,1),(194,1),(213,1),(274,1),(277,1),(388,1),(393,1)}
        46:{3,5,7}:{(27,1),(28,1),(70,1),(71,1),(329,1)}
        47:{2,5,6}:{(28,1),(31,1),(70,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(30,1),(32,1),(71,1),(73,1),(74,1),(75,1),(81,1)}
        49:{2,4,6}:{(29,1),(30,1),(33,1),(75,1),(76,1),(262,1),(328,1)}
        50:{3,4,7}:{(30,1),(74,1),(76,1),(330,1)}
        51:{1,5,6,7}:{(31,1),(40,1),(72,1),(78,1),(250,1),(301,1),(376,1)}
        52:{1,4,6}:{(31,1),(32,1),(41,1),(73,1),(80,1),(156,1)}
        53:{1,3,5,7}:{(32,1),(34,1),(42,1),(74,1),(80,1),(81,1),(82,1)}
        54:{1,4,5}:{(33,1),(43,1),(75,1),(82,1),(159,1),(321,1)}
        55:{1,3,4,6}:{(33,1),(34,1),(36,1),(44,1),(76,1),(80,1),(82,1),(83,1),(85,1)}
        56:{2,4,7}:{(34,1),(37,1),(81,1),(83,1),(84,1)}
        57:{1,3,5}:{(35,1),(36,1),(85,1),(86,1),(261,1),(312,1),(325,1)}
        58:{2,3,6}:{(36,1),(37,1),(83,1),(86,1),(87,1),(318,1)}
        59:{1,3,7}:{(37,1),(84,1),(87,1),(88,1)}
        60:{3,5,6,7}:{(38,1),(40,1),(89,1),(94,1),(165,1),(363,1),(401,1)}
        61:{4,6}:{(38,1),(39,1)}
        62:{3,4,5,7}:{(39,1),(42,1),(91,1),(92,1),(98,1),(165,1),(170,1),(305,1),(366,1),(400,1),(402,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(78,1),(89,1),(93,1),(94,1),(153,1),(403,1)}
        64:{2,4,5,6}:{(41,1),(43,1),(79,1),(90,1),(93,1),(95,1),(155,1),(167,1),(173,1),(303,1),(309,1),(365,1),(371,1),(403,1)}
        65:{3,6}:{(41,1),(42,1)}
        66:{2,3,5,7}:{(42,1),(45,1),(81,1),(92,1),(96,1),(97,1),(99,1),(402,1),(405,1)}
        67:{3,5}:{(43,1),(44,1)}
        68:{2,3,4,6}:{(44,1),(45,1),(83,1),(96,1),(99,1),(100,1),(162,1),(173,1),(236,1),(240,1),(311,1),(313,1),(370,1),(378,1)}
        69:{1,3,4,7}:{(45,1),(84,1),(97,1),(100,1),(101,1),(161,1),(244,1),(254,1),(255,1),(314,1),(330,1),(404,1)}
        70:{3,5,6}:{(46,1),(47,1),(103,1),(107,1)}
        71:{4,5,7}:{(46,1),(103,1),(356,1),(358,1)}
        72:{2,5,6,7}:{(47,1),(51,1),(102,1),(105,1),(263,1),(290,1),(361,1)}
        73:{2,4,6}:{(47,1),(48,1),(52,1),(103,1),(107,1),(115,1)}
        74:{3,5,7}:{(48,1),(50,1),(107,1),(109,1)}
        75:{2,4,5}:{(49,1),(54,1),(109,1),(118,1),(299,1),(358,1)}
        76:{3,4,6}:{(49,1),(50,1),(107,1),(109,1),(297,1),(300,1)}
        77:{2,3,4,7}:{(50,1),(56,1),(108,1),(110,1),(111,1),(138,1),(219,1),(268,1),(277,1),(359,1),(393,1)}
        78:{1,4,6,7}:{(51,1),(52,1),(63,1),(105,1),(112,1),(113,1),(197,1),(395,1)}
        79:{1,4,5,6}:{(52,1),(54,1),(64,1),(106,1),(112,1),(114,1),(199,1),(210,1),(216,1),(265,1),(271,1),(353,1),(395,1)}
        80:{1,3,6}:{(52,1),(53,1),(65,1),(107,1),(115,1)}
        81:{2,5,7}:{(53,1),(56,1),(115,1),(116,1),(118,1)}
        82:{1,3,5}:{(54,1),(55,1),(67,1),(109,1),(118,1)}
        83:{2,4,6}:{(55,1),(56,1),(58,1),(115,1),(118,1),(119,1),(121,1)}
        84:{1,4,7}:{(56,1),(59,1),(116,1),(119,1)}
        85:{1,3,4}:{(57,1),(121,1),(287,1),(300,1),(345,1)}
        86:{2,3,5}:{(57,1),(58,1),(118,1),(121,1),(122,1),(285,1),(289,1)}
        87:{1,3,6}:{(58,1),(59,1),(119,1),(122,1),(123,1)}
        88:{1,2,7}:{(59,1),(123,1),(346,1)}
        89:{4,6,7}:{(60,1),(61,1),(124,1),(385,1),(408,1)}
        90:{4,5,6}:{(61,1),(124,1),(126,1),(387,1),(408,1)}
        91:{3,4,6}:{(61,1),(62,1),(65,1),(126,1),(127,1),(408,1),(409,1)}
        92:{2,4,5,7}:{(62,1),(66,1),(127,1),(128,1),(135,1),(208,1),(213,1),(274,1),(344,1)}
        93:{2,4,5,7}:{(63,1),(64,1),(112,1),(124,1),(129,1),(196,1),(208,1),(213,1),(335,1),(339,1),(385,1)}
        94:{3,6,7}:{(63,1),(65,1),(129,1),(409,1)}
        95:{3,5,6}:{(64,1),(65,1),(67,1),(129,1),(131,1),(342,1),(391,1),(409,1)}
        96:{2,3,6}:{(65,1),(66,1),(115,1),(127,1),(133,1),(409,1),(411,1)}
        97:{1,3,5,7}:{(66,1),(69,1),(116,1),(128,1),(133,1),(134,1),(136,1),(212,1),(410,1)}
        98:{3,4,5}:{(67,1),(131,1),(135,1),(345,1),(387,1),(391,1)}
        99:{2,3,5}:{(67,1),(68,1),(118,1),(135,1),(136,1),(344,1),(391,1),(397,1)}
       100:{1,3,4,6}:{(68,1),(69,1),(119,1),(133,1),(136,1),(137,1),(205,1),(206,1),(216,1),(281,1),(284,1),(287,1),(293,1),(297,1),(300,1),(396,1)}
       101:{2,4,7}:{(69,1),(134,1),(137,1),(138,1),(346,1)}
       102:{3,5,6,7}:{(70,1),(72,1),(139,1),(144,1),(222,1),(326,1),(382,1)}
       103:{4,6}:{(70,1),(71,1)}
       104:{3,4,5,7}:{(71,1),(74,1),(141,1),(142,1),(148,1),(222,1),(227,1),(254,1),(329,1),(381,1),(383,1)}
       105:{2,4,6,7}:{(72,1),(73,1),(78,1),(139,1),(143,1),(144,1),(153,1),(384,1)}
       106:{2,4,5,6}:{(73,1),(75,1),(79,1),(140,1),(143,1),(145,1),(155,1),(224,1),(230,1),(252,1),(258,1),(328,1),(334,1),(384,1)}
       107:{3,6}:{(73,1),(74,1)}
       108:{2,3,5,7}:{(74,1),(77,1),(81,1),(142,1),(146,1),(147,1),(149,1),(383,1),(405,1)}
       109:{3,5}:{(75,1),(76,1)}
       110:{2,3,4,6}:{(76,1),(77,1),(83,1),(146,1),(149,1),(150,1),(162,1),(179,1),(230,1),(240,1),(260,1),(262,1),(333,1),(378,1)}
       111:{1,3,4,7}:{(77,1),(84,1),(147,1),(150,1),(151,1),(161,1),(244,1),(305,1),(306,1),(314,1),(367,1),(404,1)}
       112:{1,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(152,1),(238,1),(250,1),(255,1),(301,1),(306,1)}
       113:{1,3,6,7}:{(78,1),(80,1),(94,1),(144,1),(152,1),(153,1),(406,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(82,1),(95,1),(145,1),(152,1),(154,1),(155,1),(379,1),(406,1)}
       115:{2,6}:{(80,1),(81,1),(156,1)}
       116:{1,5,7}:{(81,1),(84,1),(156,1),(159,1)}
       117:{1,3,4,5}:{(82,1),(85,1),(98,1),(148,1),(154,1),(158,1),(177,1),(234,1),(245,1),(261,1),(312,1),(324,1),(379,1)}
       118:{2,5}:{(82,1),(83,1),(159,1)}
       119:{1,4,6}:{(83,1),(84,1),(87,1),(156,1),(159,1),(163,1)}
       120:{1,2,4,7}:{(84,1),(88,1),(101,1),(151,1),(157,1),(160,1),(161,1),(244,1),(372,1),(404,1)}
       121:{2,4}:{(85,1),(86,1),(163,1)}
       122:{1,3,5}:{(86,1),(87,1),(159,1),(163,1),(164,1),(249,1)}
       123:{1,2,6}:{(87,1),(88,1),(164,1),(318,1)}
       124:{4,5,7}:{(89,1),(90,1),(165,1)}
       125:{3,4,6,7}:{(89,1),(91,1),(94,1),(165,1),(166,1),(170,1)}
       126:{3,5,6}:{(90,1),(91,1),(165,1),(167,1),(366,1)}
       127:{2,4,6}:{(91,1),(92,1),(96,1),(167,1),(168,1)}
       128:{1,4,5,7}:{(92,1),(97,1),(168,1),(169,1),(177,1),(244,1),(250,1),(255,1),(321,1)}
       129:{3,5,7}:{(93,1),(94,1),(95,1),(170,1),(367,1)}
       130:{2,3,6,7}:{(94,1),(96,1),(153,1),(166,1),(171,1),(172,1)}
       131:{3,4,6}:{(95,1),(98,1),(170,1),(173,1),(365,1)}
       132:{2,3,5,6}:{(95,1),(96,1),(99,1),(155,1),(167,1),(171,1),(173,1),(174,1),(240,1)}
       133:{1,3,6}:{(96,1),(97,1),(156,1),(168,1),(175,1),(253,1),(412,1)}
       134:{2,5,7}:{(97,1),(101,1),(175,1),(178,1)}
       135:{2,4,5}:{(98,1),(99,1),(173,1),(177,1),(313,1)}
       136:{1,3,5}:{(99,1),(100,1),(159,1),(177,1),(178,1),(261,1),(321,1),(329,1),(407,1)}
       137:{2,4,6}:{(100,1),(101,1),(175,1),(178,1),(179,1),(248,1),(262,1),(318,1)}
       138:{2,3,7}:{(101,1),(161,1),(179,1),(330,1)}
       139:{4,6,7}:{(102,1),(103,1),(180,1),(356,1),(398,1)}
       140:{4,5,6}:{(103,1),(180,1),(182,1),(358,1),(398,1)}
       141:{3,4,6}:{(103,1),(104,1),(107,1),(182,1),(183,1),(398,1),(399,1)}
       142:{2,4,5,7}:{(104,1),(108,1),(183,1),(184,1),(191,1),(219,1),(263,1),(268,1),(299,1)}
       143:{2,4,5,7}:{(105,1),(106,1),(112,1),(180,1),(185,1),(196,1),(263,1),(268,1),(290,1),(294,1),(356,1)}
       144:{3,6,7}:{(105,1),(107,1),(185,1),(399,1)}
       145:{3,5,6}:{(106,1),(107,1),(109,1),(185,1),(187,1),(297,1),(362,1),(399,1)}
       146:{2,3,6}:{(107,1),(108,1),(115,1),(183,1),(189,1),(399,1),(411,1)}
       147:{1,3,5,7}:{(108,1),(111,1),(116,1),(184,1),(189,1),(190,1),(192,1),(267,1),(410,1)}
       148:{3,4,5}:{(109,1),(187,1),(191,1),(300,1),(358,1),(362,1)}
       149:{2,3,5}:{(109,1),(110,1),(118,1),(191,1),(192,1),(299,1),(362,1),(397,1)}
       150:{1,3,4,6}:{(110,1),(111,1),(119,1),(189,1),(192,1),(193,1),(205,1),(206,1),(271,1),(281,1),(284,1),(287,1),(338,1),(342,1),(345,1),(396,1)}
       151:{2,4,7}:{(111,1),(190,1),(193,1),(194,1),(346,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(114,1),(129,1),(185,1),(195,1),(196,1)}
       153:{2,6,7}:{(113,1),(115,1),(196,1),(197,1),(411,1)}
       154:{1,3,4,6}:{(114,1),(117,1),(131,1),(187,1),(195,1),(198,1),(216,1),(271,1),(281,1),(297,1),(342,1)}
       155:{2,5,6}:{(114,1),(115,1),(118,1),(196,1),(198,1),(199,1),(397,1),(411,1)}
       156:{1,6}:{(115,1),(116,1)}
       157:{1,2,5,7}:{(116,1),(120,1),(134,1),(190,1),(200,1),(201,1),(204,1),(410,1)}
       158:{2,4,5}:{(117,1),(118,1),(121,1),(198,1),(202,1),(203,1),(285,1),(355,1),(397,1)}
       159:{1,5}:{(118,1),(119,1)}
       160:{1,2,4,6}:{(119,1),(120,1),(123,1),(137,1),(193,1),(200,1),(204,1),(205,1),(207,1),(284,1),(287,1),(288,1),(350,1),(396,1)}
       161:{1,3,7}:{(120,1),(138,1),(194,1),(205,1)}
       162:{2,3,4}:{(121,1),(202,1),(206,1),(289,1),(300,1),(345,1),(355,1)}
       163:{1,4}:{(121,1),(122,1)}
       164:{1,2,5}:{(122,1),(123,1),(207,1),(285,1)}
       165:{3,5,7}:{(124,1),(125,1),(126,1),(208,1)}
       166:{2,4,6,7}:{(125,1),(127,1),(130,1),(208,1),(209,1),(213,1)}
       167:{2,5,6}:{(126,1),(127,1),(208,1),(210,1),(344,1)}
       168:{1,4,6}:{(127,1),(128,1),(133,1),(210,1),(211,1)}
       169:{2,4,5,7}:{(128,1),(134,1),(211,1),(212,1),(219,1),(220,1),(290,1),(294,1),(299,1),(356,1),(358,1)}
       170:{3,4,7}:{(129,1),(131,1),(213,1),(385,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(132,1),(196,1),(208,1),(213,1),(214,1),(277,1)}
       172:{1,3,6,7}:{(130,1),(133,1),(197,1),(209,1),(214,1),(215,1),(291,1)}
       173:{2,4,6}:{(131,1),(132,1),(135,1),(213,1),(216,1)}
       174:{1,3,5,6}:{(132,1),(133,1),(136,1),(199,1),(210,1),(214,1),(216,1),(217,1),(281,1),(292,1),(297,1)}
       175:{2,6}:{(133,1),(134,1)}
       176:{2,3,5,7}:{(134,1),(138,1),(201,1),(212,1),(218,1),(219,1),(221,1),(299,1)}
       177:{1,4,5}:{(135,1),(136,1),(216,1),(220,1),(287,1),(358,1)}
       178:{2,5}:{(136,1),(137,1)}
       179:{2,3,6}:{(137,1),(138,1),(205,1),(221,1),(289,1),(297,1)}
       180:{4,5,7}:{(139,1),(140,1),(222,1)}
       181:{3,4,6,7}:{(139,1),(141,1),(144,1),(222,1),(223,1),(227,1)}
       182:{3,5,6}:{(140,1),(141,1),(222,1),(224,1),(329,1)}
       183:{2,4,6}:{(141,1),(142,1),(146,1),(224,1),(225,1)}
       184:{1,4,5,7}:{(142,1),(147,1),(225,1),(226,1),(234,1),(244,1),(301,1),(306,1),(321,1)}
       185:{3,5,7}:{(143,1),(144,1),(145,1),(227,1),(330,1)}
       186:{2,3,6,7}:{(144,1),(146,1),(153,1),(223,1),(228,1),(229,1)}
       187:{3,4,6}:{(145,1),(148,1),(227,1),(230,1),(328,1)}
       188:{2,3,5,6}:{(145,1),(146,1),(149,1),(155,1),(224,1),(228,1),(230,1),(231,1),(240,1)}
       189:{1,3,6}:{(146,1),(147,1),(156,1),(225,1),(232,1),(304,1),(412,1)}
       190:{2,5,7}:{(147,1),(151,1),(232,1),(235,1)}
       191:{2,4,5}:{(148,1),(149,1),(230,1),(234,1),(262,1)}
       192:{1,3,5}:{(149,1),(150,1),(159,1),(234,1),(235,1),(312,1),(321,1),(366,1),(407,1)}
       193:{2,4,6}:{(150,1),(151,1),(232,1),(235,1),(236,1),(248,1),(313,1),(318,1)}
       194:{2,3,7}:{(151,1),(161,1),(236,1),(367,1)}
       195:{1,3,4,7}:{(152,1),(154,1),(170,1),(227,1),(237,1),(255,1),(306,1),(314,1),(330,1),(367,1)}
       196:{2,5,7}:{(152,1),(153,1),(155,1),(237,1),(238,1)}
       197:{1,6,7}:{(153,1),(156,1),(238,1),(412,1)}
       198:{2,4,6}:{(154,1),(155,1),(158,1),(237,1),(240,1),(241,1),(318,1)}
       199:{1,5,6}:{(155,1),(156,1),(159,1),(238,1),(241,1),(407,1),(412,1)}
       200:{1,2,6}:{(156,1),(157,1),(175,1),(232,1),(243,1),(412,1)}
       201:{1,3,5,7}:{(157,1),(161,1),(176,1),(233,1),(243,1),(244,1),(247,1),(321,1)}
       202:{2,3,5}:{(158,1),(162,1),(240,1),(245,1),(261,1),(312,1)}
       203:{1,4,5}:{(158,1),(159,1),(163,1),(241,1),(245,1),(380,1),(407,1)}
       204:{1,2,5}:{(159,1),(160,1),(178,1),(235,1),(247,1),(321,1),(407,1)}
       205:{1,3,6}:{(160,1),(161,1),(179,1),(236,1),(247,1),(249,1),(325,1)}
       206:{1,3,4}:{(162,1),(163,1),(245,1),(248,1),(249,1),(325,1),(380,1)}
       207:{1,2,4}:{(163,1),(164,1),(248,1),(249,1)}
       208:{2,5,7}:{(165,1),(166,1),(167,1),(250,1)}
       209:{1,4,6,7}:{(166,1),(168,1),(172,1),(250,1),(251,1),(255,1)}
       210:{1,5,6}:{(167,1),(168,1),(250,1),(252,1),(321,1)}
       211:{2,4,6}:{(168,1),(169,1),(175,1),(252,1),(253,1),(328,1)}
       212:{3,5,7}:{(169,1),(253,1),(254,1),(261,1),(329,1),(330,1)}
       213:{2,4,7}:{(170,1),(171,1),(173,1),(255,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(174,1),(238,1),(250,1),(255,1),(256,1),(314,1),(326,1),(330,1)}
       215:{2,6,7}:{(172,1),(175,1),(256,1)}
       216:{1,4,6}:{(173,1),(174,1),(177,1),(255,1),(258,1),(328,1)}
       217:{2,5,6}:{(174,1),(175,1),(178,1),(256,1),(258,1),(318,1)}
       218:{2,3,6}:{(175,1),(176,1),(243,1),(253,1),(260,1)}
       219:{2,4,7}:{(176,1),(244,1),(254,1),(260,1),(262,1)}
       220:{2,4,5}:{(177,1),(178,1),(258,1),(261,1),(262,1)}
       221:{2,3,5}:{(178,1),(179,1),(247,1),(261,1),(262,1)}
       222:{3,5,7}:{(180,1),(181,1),(182,1),(263,1)}
       223:{2,4,6,7}:{(181,1),(183,1),(186,1),(263,1),(264,1),(268,1)}
       224:{2,5,6}:{(182,1),(183,1),(263,1),(265,1),(299,1)}
       225:{1,4,6}:{(183,1),(184,1),(189,1),(265,1),(266,1)}
       226:{2,4,5,7}:{(184,1),(190,1),(266,1),(267,1),(274,1),(275,1),(335,1),(339,1),(344,1),(385,1),(387,1)}
       227:{3,4,7}:{(185,1),(187,1),(268,1),(356,1)}
       228:{2,3,5,7}:{(185,1),(186,1),(188,1),(196,1),(263,1),(268,1),(269,1),(277,1)}
       229:{1,3,6,7}:{(186,1),(189,1),(197,1),(264,1),(269,1),(270,1),(336,1)}
       230:{2,4,6}:{(187,1),(188,1),(191,1),(268,1),(271,1)}
       231:{1,3,5,6}:{(188,1),(189,1),(192,1),(199,1),(265,1),(269,1),(271,1),(272,1),(281,1),(337,1),(342,1)}
       232:{2,6}:{(189,1),(190,1)}
       233:{2,3,5,7}:{(190,1),(194,1),(201,1),(267,1),(273,1),(274,1),(276,1),(344,1)}
       234:{1,4,5}:{(191,1),(192,1),(271,1),(275,1),(287,1),(387,1)}
       235:{2,5}:{(192,1),(193,1)}
       236:{2,3,6}:{(193,1),(194,1),(205,1),(276,1),(289,1),(342,1)}
       237:{2,4,7}:{(195,1),(196,1),(198,1),(277,1),(278,1),(346,1)}
       238:{1,5,7}:{(196,1),(197,1),(199,1),(278,1)}
       239:{1,2,6,7}:{(197,1),(200,1),(215,1),(270,1),(279,1),(280,1),(411,1)}
       240:{2,3,6}:{(198,1),(202,1),(277,1),(281,1),(297,1),(342,1)}
       241:{1,4,6}:{(198,1),(199,1),(203,1),(278,1),(281,1)}
       242:{1,2,5,6}:{(199,1),(200,1),(204,1),(217,1),(272,1),(279,1),(282,1),(283,1),(350,1),(397,1),(411,1)}
       243:{1,3,6}:{(200,1),(201,1),(218,1),(273,1),(284,1)}
       244:{1,4,7}:{(201,1),(219,1),(274,1),(284,1),(287,1)}
       245:{1,3,5}:{(202,1),(203,1),(206,1),(281,1),(285,1)}
       246:{1,2,4,5}:{(203,1),(204,1),(207,1),(220,1),(275,1),(282,1),(285,1),(286,1),(287,1),(353,1),(355,1),(397,1)}
       247:{1,3,5}:{(204,1),(205,1),(221,1),(276,1),(287,1)}
       248:{2,4}:{(206,1),(285,1),(289,1)}
       249:{1,3}:{(207,1),(289,1)}
       250:{1,5,7}:{(208,1),(209,1),(210,1),(290,1)}
       251:{2,4,6,7}:{(209,1),(211,1),(215,1),(290,1),(291,1),(294,1),(356,1)}
       252:{2,5,6}:{(210,1),(211,1),(290,1),(292,1),(299,1)}
       253:{3,6}:{(211,1),(212,1)}
       254:{3,4,7}:{(212,1),(219,1),(293,1),(300,1),(356,1)}
       255:{1,4,7}:{(213,1),(214,1),(216,1),(294,1),(356,1)}
       256:{2,5,7}:{(214,1),(215,1),(217,1),(294,1),(346,1)}
       257:{2,3,6,7}:{(215,1),(218,1),(280,1),(291,1),(295,1),(296,1),(399,1),(411,1)}
       258:{2,4,6}:{(216,1),(217,1),(220,1),(294,1),(297,1)}
       259:{2,3,5,6}:{(217,1),(218,1),(221,1),(283,1),(292,1),(295,1),(297,1),(298,1),(299,1),(351,1),(361,1),(362,1),(397,1),(399,1),(411,1)}
       260:{2,4,6}:{(218,1),(219,1),(284,1),(293,1),(299,1)}
       261:{3,5}:{(220,1),(297,1),(300,1)}
       262:{2,4}:{(221,1),(287,1),(300,1)}
       263:{2,5,7}:{(222,1),(223,1),(224,1),(301,1)}
       264:{1,4,6,7}:{(223,1),(225,1),(229,1),(301,1),(302,1),(306,1)}
       265:{1,5,6}:{(224,1),(225,1),(301,1),(303,1),(321,1)}
       266:{2,4,6}:{(225,1),(226,1),(232,1),(303,1),(304,1),(365,1)}
       267:{3,5,7}:{(226,1),(304,1),(305,1),(312,1),(366,1),(367,1)}
       268:{2,4,7}:{(227,1),(228,1),(230,1),(306,1)}
       269:{1,3,5,7}:{(228,1),(229,1),(231,1),(238,1),(301,1),(306,1),(307,1),(314,1),(363,1),(367,1)}
       270:{2,6,7}:{(229,1),(232,1),(307,1)}
       271:{1,4,6}:{(230,1),(231,1),(234,1),(306,1),(309,1),(365,1)}
       272:{2,5,6}:{(231,1),(232,1),(235,1),(307,1),(309,1),(318,1)}
       273:{2,3,6}:{(232,1),(233,1),(243,1),(304,1),(311,1)}
       274:{2,4,7}:{(233,1),(244,1),(305,1),(311,1),(313,1)}
       275:{2,4,5}:{(234,1),(235,1),(309,1),(312,1),(313,1)}
       276:{2,3,5}:{(235,1),(236,1),(247,1),(312,1),(313,1)}
       277:{2,3,7}:{(237,1),(240,1),(314,1),(330,1),(367,1)}
       278:{1,4,7}:{(237,1),(238,1),(241,1),(314,1)}
       279:{1,2,5,7}:{(238,1),(239,1),(242,1),(256,1),(307,1),(315,1),(316,1),(372,1),(405,1)}
       280:{1,3,6,7}:{(239,1),(243,1),(257,1),(308,1),(316,1),(317,1),(406,1),(412,1)}
       281:{1,3,6}:{(240,1),(241,1),(245,1),(314,1),(318,1)}
       282:{1,2,4,6}:{(241,1),(242,1),(246,1),(258,1),(309,1),(315,1),(318,1),(319,1),(320,1),(378,1)}
       283:{1,3,5,6}:{(242,1),(243,1),(247,1),(259,1),(310,1),(316,1),(319,1),(320,1),(321,1),(376,1),(377,1),(379,1),(406,1),(407,1),(412,1)}
       284:{1,4,6}:{(243,1),(244,1),(260,1),(311,1),(321,1)}
       285:{2,5}:{(245,1),(248,1),(318,1)}
       286:{1,3,5}:{(246,1),(249,1),(261,1),(312,1),(319,1),(323,1),(324,1)}
       287:{1,4}:{(247,1),(262,1),(313,1)}
       288:{1,2,4}:{(248,1),(322,1),(325,1),(380,1)}
       289:{2,3}:{(248,1),(249,1),(325,1)}
       290:{2,5,7}:{(250,1),(251,1),(252,1),(326,1)}
       291:{3,6,7}:{(251,1),(253,1),(326,1),(330,1)}
       292:{3,5,6}:{(252,1),(253,1),(326,1),(328,1),(329,1)}
       293:{3,4,6}:{(253,1),(254,1),(260,1),(328,1),(329,1)}
       294:{2,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       295:{2,3,5,7}:{(256,1),(257,1),(259,1),(316,1),(326,1),(330,1),(331,1),(332,1),(373,1),(383,1),(405,1)}
       296:{2,4,6,7}:{(257,1),(260,1),(317,1),(327,1),(331,1),(332,1),(384,1)}
       297:{3,6}:{(258,1),(261,1),(330,1)}
       298:{2,4,6}:{(259,1),(262,1),(320,1),(328,1),(331,1),(333,1),(334,1)}
       299:{2,5}:{(260,1),(321,1),(329,1)}
       300:{3,4}:{(261,1),(262,1)}
       301:{1,5,7}:{(263,1),(264,1),(265,1),(335,1)}
       302:{2,4,6,7}:{(264,1),(266,1),(270,1),(335,1),(336,1),(339,1),(385,1)}
       303:{2,5,6}:{(265,1),(266,1),(335,1),(337,1),(344,1)}
       304:{3,6}:{(266,1),(267,1)}
       305:{3,4,7}:{(267,1),(274,1),(338,1),(345,1),(385,1)}
       306:{1,4,7}:{(268,1),(269,1),(271,1),(339,1),(385,1)}
       307:{2,5,7}:{(269,1),(270,1),(272,1),(339,1),(346,1)}
       308:{2,3,6,7}:{(270,1),(273,1),(280,1),(336,1),(340,1),(341,1),(409,1),(411,1)}
       309:{2,4,6}:{(271,1),(272,1),(275,1),(339,1),(342,1)}
       310:{2,3,5,6}:{(272,1),(273,1),(276,1),(283,1),(337,1),(340,1),(342,1),(343,1),(344,1),(351,1),(390,1),(391,1),(397,1),(409,1),(411,1)}
       311:{2,4,6}:{(273,1),(274,1),(284,1),(338,1),(344,1)}
       312:{3,5}:{(275,1),(342,1),(345,1)}
       313:{2,4}:{(276,1),(287,1),(345,1)}
       314:{1,3,7}:{(277,1),(278,1),(281,1),(346,1)}
       315:{1,2,4,7}:{(278,1),(279,1),(282,1),(294,1),(339,1),(346,1),(347,1),(348,1),(393,1)}
       316:{1,3,5,7}:{(279,1),(280,1),(283,1),(295,1),(340,1),(347,1),(348,1),(349,1),(392,1),(410,1)}
       317:{1,4,6,7}:{(280,1),(284,1),(296,1),(341,1),(348,1),(349,1),(395,1)}
       318:{2,6}:{(281,1),(285,1),(346,1)}
       319:{1,3,6}:{(282,1),(286,1),(297,1),(342,1),(347,1),(351,1)}
       320:{1,4,6}:{(283,1),(287,1),(298,1),(343,1),(348,1),(353,1)}
       321:{1,5}:{(284,1),(299,1),(344,1)}
       322:{1,2,5}:{(285,1),(288,1),(350,1),(354,1)}
       323:{2,3,5}:{(285,1),(286,1),(289,1),(351,1),(354,1),(355,1),(397,1)}
       324:{1,3,4}:{(286,1),(287,1),(300,1),(345,1),(355,1)}
       325:{1,3}:{(288,1),(289,1)}
       326:{3,5,7}:{(290,1),(291,1),(292,1),(356,1)}
       327:{3,4,6,7}:{(291,1),(293,1),(296,1),(356,1),(357,1),(359,1),(398,1),(399,1)}
       328:{4,6}:{(292,1),(356,1),(358,1)}
       329:{3,5}:{(293,1),(299,1),(358,1)}
       330:{3,7}:{(294,1),(297,1)}
       331:{2,4,7}:{(295,1),(298,1),(348,1),(356,1),(359,1)}
       332:{2,5,7}:{(296,1),(299,1),(349,1),(357,1),(361,1)}
       333:{3,4,6}:{(297,1),(298,1),(300,1),(359,1),(362,1),(399,1)}
       334:{2,4,5}:{(298,1),(299,1),(353,1),(358,1),(362,1),(397,1)}
       335:{2,5,7}:{(301,1),(302,1),(303,1),(363,1)}
       336:{3,6,7}:{(302,1),(304,1),(363,1),(367,1)}
       337:{3,5,6}:{(303,1),(304,1),(363,1),(365,1),(366,1)}
       338:{3,4,6}:{(304,1),(305,1),(311,1),(365,1),(366,1)}
       339:{2,4,7}:{(306,1),(307,1),(309,1),(367,1)}
       340:{2,3,5,7}:{(307,1),(308,1),(310,1),(316,1),(363,1),(367,1),(368,1),(369,1),(373,1),(402,1),(405,1)}
       341:{2,4,6,7}:{(308,1),(311,1),(317,1),(364,1),(368,1),(369,1),(403,1)}
       342:{3,6}:{(309,1),(312,1),(367,1)}
       343:{2,4,6}:{(310,1),(313,1),(320,1),(365,1),(368,1),(370,1),(371,1)}
       344:{2,5}:{(311,1),(321,1),(366,1)}
       345:{3,4}:{(312,1),(313,1)}
       346:{2,7}:{(314,1),(318,1)}
       347:{1,3,7}:{(315,1),(319,1),(330,1),(367,1),(373,1)}
       348:{1,4,7}:{(316,1),(320,1),(331,1),(368,1)}
       349:{1,5,7}:{(317,1),(321,1),(332,1),(369,1),(376,1)}
       350:{1,2,6}:{(318,1),(322,1),(372,1),(377,1)}
       351:{2,3,6}:{(318,1),(319,1),(323,1),(373,1),(377,1),(378,1)}
       352:{1,3,4,6}:{(319,1),(320,1),(324,1),(333,1),(370,1),(374,1),(378,1),(379,1),(406,1)}
       353:{1,4,5}:{(320,1),(321,1),(334,1),(371,1),(379,1),(407,1)}
       354:{1,3,5}:{(322,1),(323,1),(325,1),(377,1),(380,1),(407,1)}
       355:{2,4}:{(323,1),(324,1),(380,1)}
       356:{4,7}:{(326,1),(328,1)}
       357:{3,5,7}:{(327,1),(329,1),(332,1),(381,1),(382,1)}
       358:{4,5}:{(328,1),(329,1)}
       359:{3,4,7}:{(330,1),(331,1),(333,1),(383,1)}
       360:{2,4,5,7}:{(331,1),(332,1),(334,1),(375,1),(381,1),(383,1),(384,1),(405,1)}
       361:{2,5,6}:{(332,1),(376,1),(382,1),(384,1)}
       362:{3,5}:{(333,1),(334,1)}
       363:{3,5,7}:{(335,1),(336,1),(337,1),(385,1)}
       364:{3,4,6,7}:{(336,1),(338,1),(341,1),(385,1),(386,1),(388,1),(408,1),(409,1)}
       365:{4,6}:{(337,1),(385,1),(387,1)}
       366:{3,5}:{(338,1),(344,1),(387,1)}
       367:{3,7}:{(339,1),(342,1)}
       368:{2,4,7}:{(340,1),(343,1),(348,1),(385,1),(388,1)}
       369:{2,5,7}:{(341,1),(344,1),(349,1),(386,1),(390,1)}
       370:{3,4,6}:{(342,1),(343,1),(345,1),(388,1),(391,1),(409,1)}
       371:{2,4,5}:{(343,1),(344,1),(353,1),(387,1),(391,1),(397,1)}
       372:{1,2,7}:{(346,1),(350,1),(392,1)}
       373:{2,3,7}:{(346,1),(347,1),(351,1),(392,1),(393,1)}
       374:{1,3,4,7}:{(347,1),(348,1),(352,1),(359,1),(388,1),(393,1),(394,1)}
       375:{1,4,5,7}:{(348,1),(349,1),(353,1),(360,1),(389,1),(394,1),(395,1),(410,1)}
       376:{1,5,6}:{(349,1),(361,1),(390,1),(395,1)}
       377:{1,3,6}:{(350,1),(351,1),(354,1),(392,1),(396,1)}
       378:{2,4,6}:{(351,1),(352,1),(355,1),(393,1),(396,1),(397,1),(411,1)}
       379:{1,3,5}:{(352,1),(353,1),(362,1),(391,1),(397,1)}
       380:{1,4}:{(354,1),(355,1)}
       381:{4,5,7}:{(356,1),(357,1),(358,1),(398,1)}
       382:{3,5,6}:{(357,1),(361,1),(398,1),(399,1)}
       383:{3,5,7}:{(359,1),(360,1),(362,1),(399,1)}
       384:{2,4,6}:{(360,1),(361,1),(395,1),(398,1),(399,1),(411,1)}
       385:{4,7}:{(363,1),(365,1)}
       386:{3,5,7}:{(364,1),(366,1),(369,1),(400,1),(401,1)}
       387:{4,5}:{(365,1),(366,1)}
       388:{3,4,7}:{(367,1),(368,1),(370,1),(402,1)}
       389:{2,4,5,7}:{(368,1),(369,1),(371,1),(375,1),(400,1),(402,1),(403,1),(405,1)}
       390:{2,5,6}:{(369,1),(376,1),(401,1),(403,1)}
       391:{3,5}:{(370,1),(371,1)}
       392:{1,3,7}:{(372,1),(373,1),(377,1),(404,1)}
       393:{2,4,7}:{(373,1),(374,1),(378,1),(404,1),(405,1)}
       394:{1,3,5,7}:{(374,1),(375,1),(379,1),(383,1),(402,1),(405,1),(406,1)}
       395:{1,4,6}:{(375,1),(376,1),(384,1),(403,1),(406,1),(412,1)}
       396:{1,4,6}:{(377,1),(378,1),(380,1),(404,1),(407,1),(412,1)}
       397:{2,5}:{(378,1),(379,1),(407,1)}
       398:{4,6}:{(381,1),(382,1)}
       399:{3,6}:{(383,1),(384,1)}
       400:{4,5,7}:{(385,1),(386,1),(387,1),(408,1)}
       401:{3,5,6}:{(386,1),(390,1),(408,1),(409,1)}
       402:{3,5,7}:{(388,1),(389,1),(391,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(395,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(392,1),(393,1),(396,1),(410,1)}
       405:{2,5,7}:{(393,1),(394,1),(397,1),(410,1),(411,1)}
       406:{1,3,6}:{(394,1),(395,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(396,1),(397,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 755 :   0:{1,2,6}:{(2,1),(3,1),(4,1),(90,1)}
         1:{2,3,6}:{(4,1),(5,1),(6,1),(7,1),(63,1),(90,1)}
         2:{1,2,5}:{(0,1),(9,1),(10,1),(34,1),(74,1)}
         3:{1,2,7}:{(0,1),(11,1),(99,1)}
         4:{1,3,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(12,1),(98,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(16,1),(35,1),(43,1),(74,1)}
         6:{2,3,7}:{(1,1),(11,1),(15,1),(81,1),(99,1)}
         7:{2,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(16,1),(45,1)}
         8:{2,3,6}:{(4,1),(17,1),(18,1),(19,1),(86,1),(90,1)}
         9:{1,2,4}:{(2,1),(20,1),(21,1),(54,1)}
        10:{1,3,5}:{(2,1),(4,1),(5,1),(17,1),(20,1),(21,1),(23,1),(53,1),(89,1)}
        11:{1,3,7}:{(3,1),(4,1),(6,1),(18,1),(22,1),(103,1)}
        12:{1,4,6}:{(4,1),(7,1),(19,1),(21,1),(22,1),(23,1),(57,1)}
        13:{3,4,6}:{(7,1),(24,1),(25,1),(26,1),(60,1),(61,1),(63,1)}
        14:{2,4}:{(5,1),(21,1),(26,1)}
        15:{2,4,7}:{(6,1),(7,1),(22,1),(24,1),(28,1)}
        16:{2,5}:{(7,1),(23,1),(25,1)}
        17:{2,3,5}:{(8,1),(10,1),(31,1),(33,1),(35,1),(69,1),(74,1)}
        18:{2,3,7}:{(8,1),(11,1),(32,1),(97,1),(99,1)}
        19:{2,4,6}:{(8,1),(12,1),(30,1),(31,1),(32,1),(33,1),(71,1)}
        20:{1,3}:{(9,1),(35,1)}
        21:{1,4}:{(10,1),(14,1),(31,1)}
        22:{1,4,7}:{(11,1),(12,1),(15,1),(32,1),(38,1)}
        23:{1,5}:{(12,1),(16,1),(33,1)}
        24:{3,4,7}:{(13,1),(15,1),(41,1),(79,1),(81,1)}
        25:{3,5}:{(13,1),(16,1),(40,1)}
        26:{3,4}:{(14,1),(43,1)}
        27:{2,4,5}:{(14,1),(16,1),(37,1),(40,1),(43,1),(44,1),(74,1)}
        28:{2,5,7}:{(15,1),(16,1),(38,1),(41,1),(45,1)}
        29:{2,5,6}:{(16,1),(39,1),(42,1),(44,1),(45,1),(46,1)}
        30:{3,4,6}:{(19,1),(47,1),(48,1),(49,1),(83,1),(84,1),(86,1)}
        31:{2,4}:{(17,1),(21,1),(49,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1),(51,1)}
        33:{2,5}:{(19,1),(23,1),(48,1)}
        34:{1,2}:{(53,1)}
        35:{2,3}:{(20,1),(53,1),(54,1)}
        36:{1,3,4}:{(20,1),(21,1),(26,1),(49,1),(54,1),(55,1)}
        37:{1,4,5}:{(21,1),(23,1),(27,1),(50,1),(55,1),(56,1),(89,1)}
        38:{1,5,7}:{(22,1),(23,1),(28,1),(51,1),(57,1)}
        39:{1,5,6}:{(23,1),(29,1),(52,1),(56,1),(57,1),(58,1)}
        40:{4,5}:{(25,1),(60,1)}
        41:{3,5,7}:{(24,1),(25,1),(28,1),(59,1),(61,1)}
        42:{3,5,6}:{(25,1),(29,1),(60,1),(61,1),(62,1),(63,1),(92,1)}
        43:{3,5}:{(26,1),(27,1),(63,1)}
        44:{2,4,6}:{(27,1),(29,1),(56,1),(60,1),(63,1),(64,1),(90,1)}
        45:{2,6}:{(28,1),(57,1),(61,1)}
        46:{2,5,7}:{(29,1),(58,1),(62,1),(64,1),(65,1)}
        47:{3,4,7}:{(30,1),(32,1),(67,1),(95,1),(97,1)}
        48:{3,5}:{(30,1),(33,1),(66,1)}
        49:{3,4}:{(31,1),(69,1)}
        50:{2,4,5}:{(31,1),(33,1),(37,1),(66,1),(69,1),(70,1),(74,1)}
        51:{2,5,7}:{(32,1),(33,1),(38,1),(67,1),(71,1)}
        52:{2,5,6}:{(33,1),(39,1),(68,1),(70,1),(71,1),(72,1)}
        53:{1,3}:{(34,1),(35,1),(73,1)}
        54:{2,4}:{(35,1),(36,1),(73,1),(74,1)}
        55:{1,3,5}:{(36,1),(37,1),(43,1),(69,1),(74,1),(75,1)}
        56:{1,4,6}:{(37,1),(39,1),(44,1),(70,1),(75,1),(76,1),(98,1)}
        57:{1,6}:{(38,1),(45,1),(71,1)}
        58:{1,5,7}:{(39,1),(46,1),(72,1),(76,1),(77,1)}
        59:{4,5,7}:{(40,1),(41,1),(78,1),(79,1),(100,1)}
        60:{4,6}:{(40,1),(42,1),(79,1)}
        61:{3,6}:{(41,1),(45,1),(78,1)}
        62:{3,5,7}:{(42,1),(46,1),(79,1),(80,1),(81,1),(100,1)}
        63:{3,6}:{(43,1),(44,1),(81,1)}
        64:{2,4,7}:{(44,1),(46,1),(76,1),(79,1),(81,1),(99,1)}
        65:{2,6,7}:{(45,1),(46,1),(77,1),(80,1)}
        66:{4,5}:{(48,1),(83,1)}
        67:{3,5,7}:{(47,1),(48,1),(51,1),(82,1),(84,1)}
        68:{3,5,6}:{(48,1),(52,1),(83,1),(84,1),(85,1),(86,1),(101,1)}
        69:{3,5}:{(49,1),(50,1),(86,1)}
        70:{2,4,6}:{(50,1),(52,1),(56,1),(83,1),(86,1),(87,1),(90,1)}
        71:{2,6}:{(51,1),(57,1),(84,1)}
        72:{2,5,7}:{(52,1),(58,1),(85,1),(87,1),(88,1)}
        73:{1,4}:{(53,1),(54,1),(89,1)}
        74:{2,5}:{(54,1),(55,1),(89,1),(90,1)}
        75:{1,3,6}:{(55,1),(56,1),(63,1),(86,1),(90,1),(91,1)}
        76:{1,4,7}:{(56,1),(58,1),(64,1),(87,1),(91,1),(103,1)}
        77:{1,6,7}:{(57,1),(58,1),(65,1),(88,1)}
        78:{4,6}:{(59,1),(61,1),(92,1)}
        79:{4,7}:{(60,1),(62,1)}
        80:{3,6,7}:{(61,1),(62,1),(65,1),(93,1)}
        81:{3,7}:{(63,1),(64,1)}
        82:{4,5,7}:{(66,1),(67,1),(94,1),(95,1),(104,1)}
        83:{4,6}:{(66,1),(68,1),(95,1)}
        84:{3,6}:{(67,1),(71,1),(94,1)}
        85:{3,5,7}:{(68,1),(72,1),(95,1),(96,1),(97,1),(104,1)}
        86:{3,6}:{(69,1),(70,1),(97,1)}
        87:{2,4,7}:{(70,1),(72,1),(76,1),(95,1),(97,1),(99,1)}
        88:{2,6,7}:{(71,1),(72,1),(77,1),(96,1)}
        89:{1,5}:{(73,1),(74,1),(98,1)}
        90:{2,6}:{(74,1),(75,1),(98,1),(99,1)}
        91:{1,3,7}:{(75,1),(76,1),(81,1),(97,1),(99,1)}
        92:{5,6}:{(78,1),(100,1)}
        93:{4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        94:{4,6}:{(82,1),(84,1),(101,1)}
        95:{4,7}:{(83,1),(85,1)}
        96:{3,6,7}:{(84,1),(85,1),(88,1),(102,1)}
        97:{3,7}:{(86,1),(87,1)}
        98:{1,6}:{(89,1),(90,1),(103,1)}
        99:{2,7}:{(90,1),(91,1),(103,1)}
       100:{5,7}:{(92,1),(93,1)}
       101:{5,6}:{(94,1),(104,1)}
       102:{4,6,7}:{(94,1),(95,1),(96,1),(104,1)}
       103:{1,7}:{(98,1),(99,1)}
       104:{5,7}:{(101,1),(102,1)}

 756 :   0:{1,2,7}:{(2,1),(3,1),(103,1)}
         1:{2,3,7}:{(3,1),(4,1),(5,1),(89,1),(103,1)}
         2:{1,2,6}:{(0,1),(7,1),(8,1),(97,1)}
         3:{1,3,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(104,1)}
         4:{2,3,6}:{(1,1),(8,1),(11,1),(12,1),(74,1),(97,1)}
         5:{2,4,7}:{(1,1),(9,1),(10,1),(12,1),(13,1)}
         6:{2,3,7}:{(3,1),(14,1),(15,1),(101,1),(103,1)}
         7:{1,2,5}:{(2,1),(16,1),(17,1),(45,1),(84,1)}
         8:{1,3,6}:{(2,1),(3,1),(4,1),(14,1),(17,1),(18,1),(102,1)}
         9:{1,4,7}:{(3,1),(5,1),(15,1),(18,1),(19,1)}
        10:{3,4,7}:{(5,1),(20,1),(21,1),(88,1),(89,1)}
        11:{2,3,5}:{(4,1),(17,1),(22,1),(23,1),(46,1),(55,1),(84,1)}
        12:{2,4,6}:{(4,1),(5,1),(18,1),(20,1),(22,1),(23,1),(24,1)}
        13:{2,5,7}:{(5,1),(19,1),(21,1),(23,1),(24,1)}
        14:{2,3,6}:{(6,1),(8,1),(26,1),(27,1),(94,1),(97,1)}
        15:{2,4,7}:{(6,1),(9,1),(25,1),(27,1),(28,1)}
        16:{1,2,4}:{(7,1),(29,1),(30,1),(66,1)}
        17:{1,3,5}:{(7,1),(8,1),(11,1),(26,1),(29,1),(30,1),(31,1),(65,1),(96,1)}
        18:{1,4,6}:{(8,1),(9,1),(12,1),(27,1),(30,1),(31,1),(32,1)}
        19:{1,5,7}:{(9,1),(13,1),(28,1),(31,1),(32,1)}
        20:{3,4,6}:{(10,1),(12,1),(34,1),(35,1),(36,1),(72,1),(74,1)}
        21:{3,5,7}:{(10,1),(13,1),(33,1),(34,1),(35,1)}
        22:{2,4}:{(11,1),(30,1),(36,1)}
        23:{2,5}:{(12,1),(31,1),(34,1)}
        24:{2,6}:{(13,1),(32,1),(35,1)}
        25:{3,4,7}:{(15,1),(40,1),(41,1),(100,1),(101,1)}
        26:{2,3,5}:{(14,1),(17,1),(42,1),(43,1),(46,1),(80,1),(84,1)}
        27:{2,4,6}:{(14,1),(15,1),(18,1),(40,1),(42,1),(43,1),(44,1)}
        28:{2,5,7}:{(15,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,3}:{(16,1),(46,1)}
        30:{1,4}:{(17,1),(22,1),(42,1)}
        31:{1,5}:{(18,1),(23,1),(43,1)}
        32:{1,6}:{(19,1),(24,1),(44,1)}
        33:{4,5,7}:{(21,1),(51,1),(52,1),(87,1),(88,1)}
        34:{3,5}:{(20,1),(23,1),(52,1)}
        35:{3,6}:{(21,1),(24,1),(51,1)}
        36:{3,4}:{(22,1),(55,1)}
        37:{2,4,5}:{(22,1),(23,1),(48,1),(52,1),(55,1),(56,1),(84,1)}
        38:{2,5,6}:{(23,1),(24,1),(49,1),(53,1),(56,1),(57,1)}
        39:{2,6,7}:{(24,1),(50,1),(54,1),(57,1)}
        40:{3,4,6}:{(25,1),(27,1),(59,1),(60,1),(61,1),(92,1),(94,1)}
        41:{3,5,7}:{(25,1),(28,1),(58,1),(59,1),(60,1)}
        42:{2,4}:{(26,1),(30,1),(61,1)}
        43:{2,5}:{(27,1),(31,1),(59,1)}
        44:{2,6}:{(28,1),(32,1),(60,1)}
        45:{1,2}:{(65,1)}
        46:{2,3}:{(29,1),(65,1),(66,1)}
        47:{1,3,4}:{(29,1),(30,1),(36,1),(61,1),(66,1),(67,1)}
        48:{1,4,5}:{(30,1),(31,1),(37,1),(62,1),(67,1),(68,1),(96,1)}
        49:{1,5,6}:{(31,1),(32,1),(38,1),(63,1),(68,1),(69,1)}
        50:{1,6,7}:{(32,1),(39,1),(64,1),(69,1)}
        51:{4,6}:{(33,1),(35,1),(70,1)}
        52:{4,5}:{(34,1),(72,1)}
        53:{3,5,6}:{(34,1),(35,1),(38,1),(70,1),(72,1),(73,1),(74,1)}
        54:{3,6,7}:{(35,1),(39,1),(71,1),(73,1)}
        55:{3,5}:{(36,1),(37,1),(74,1)}
        56:{2,4,6}:{(37,1),(38,1),(68,1),(72,1),(74,1),(75,1),(97,1)}
        57:{2,5,7}:{(38,1),(39,1),(69,1),(73,1),(75,1)}
        58:{4,5,7}:{(41,1),(76,1),(77,1),(99,1),(100,1)}
        59:{3,5}:{(40,1),(43,1),(77,1)}
        60:{3,6}:{(41,1),(44,1),(76,1)}
        61:{3,4}:{(42,1),(80,1)}
        62:{2,4,5}:{(42,1),(43,1),(48,1),(77,1),(80,1),(81,1),(84,1)}
        63:{2,5,6}:{(43,1),(44,1),(49,1),(78,1),(81,1),(82,1)}
        64:{2,6,7}:{(44,1),(50,1),(79,1),(82,1)}
        65:{1,3}:{(45,1),(46,1),(83,1)}
        66:{2,4}:{(46,1),(47,1),(83,1),(84,1)}
        67:{1,3,5}:{(47,1),(48,1),(55,1),(80,1),(84,1),(85,1)}
        68:{1,4,6}:{(48,1),(49,1),(56,1),(81,1),(85,1),(86,1),(102,1)}
        69:{1,5,7}:{(49,1),(50,1),(57,1),(82,1),(86,1)}
        70:{5,6}:{(51,1),(87,1)}
        71:{4,6,7}:{(51,1),(54,1),(87,1),(88,1)}
        72:{4,6}:{(52,1),(53,1),(88,1)}
        73:{3,5,7}:{(53,1),(54,1),(57,1),(87,1),(88,1),(89,1)}
        74:{3,6}:{(55,1),(56,1),(89,1)}
        75:{2,4,7}:{(56,1),(57,1),(86,1),(88,1),(89,1),(103,1)}
        76:{4,6}:{(58,1),(60,1),(90,1)}
        77:{4,5}:{(59,1),(92,1)}
        78:{3,5,6}:{(59,1),(60,1),(63,1),(90,1),(92,1),(93,1),(94,1)}
        79:{3,6,7}:{(60,1),(64,1),(91,1),(93,1)}
        80:{3,5}:{(61,1),(62,1),(94,1)}
        81:{2,4,6}:{(62,1),(63,1),(68,1),(92,1),(94,1),(95,1),(97,1)}
        82:{2,5,7}:{(63,1),(64,1),(69,1),(93,1),(95,1)}
        83:{1,4}:{(65,1),(66,1),(96,1)}
        84:{2,5}:{(66,1),(67,1),(96,1),(97,1)}
        85:{1,3,6}:{(67,1),(68,1),(74,1),(94,1),(97,1),(98,1)}
        86:{1,4,7}:{(68,1),(69,1),(75,1),(95,1),(98,1),(104,1)}
        87:{5,7}:{(70,1),(71,1)}
        88:{4,7}:{(72,1),(73,1)}
        89:{3,7}:{(74,1),(75,1)}
        90:{5,6}:{(76,1),(99,1)}
        91:{4,6,7}:{(76,1),(79,1),(99,1),(100,1)}
        92:{4,6}:{(77,1),(78,1),(100,1)}
        93:{3,5,7}:{(78,1),(79,1),(82,1),(99,1),(100,1),(101,1)}
        94:{3,6}:{(80,1),(81,1),(101,1)}
        95:{2,4,7}:{(81,1),(82,1),(86,1),(100,1),(101,1),(103,1)}
        96:{1,5}:{(83,1),(84,1),(102,1)}
        97:{2,6}:{(84,1),(85,1),(102,1),(103,1)}
        98:{1,3,7}:{(85,1),(86,1),(89,1),(101,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{1,6}:{(96,1),(97,1),(104,1)}
       103:{2,7}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 757 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(16,1),(25,1),(54,1),(145,1),(174,1),(181,1),(254,1),(266,1),(273,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(37,1),(48,1),(106,1),(117,1),(125,1),(219,1),(235,1),(241,1),(242,1),(332,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(313,1),(326,1),(329,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(40,1),(95,1),(204,1),(236,1),(316,1),(333,1)}
         4:{2,3,4,6}:{(11,1),(12,1),(13,1),(18,1),(52,1),(61,1),(78,1),(171,1),(183,1),(257,1),(264,1),(273,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(25,1),(68,1),(86,1),(165,1),(174,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(78,1),(82,1),(298,1),(301,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(80,1),(279,1),(302,1),(382,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(64,1),(74,1),(160,1),(175,1),(182,1),(299,1),(387,1)}
         9:{2,4,5}:{(2,1),(16,1),(21,1),(23,1),(145,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(370,1),(383,1)}
        11:{1,3,4,6}:{(4,1),(27,1),(28,1),(29,1),(32,1),(89,1),(100,1),(106,1),(195,1),(203,1),(219,1),(318,1),(324,1),(325,1),(332,1)}
        12:{2,3,5}:{(4,1),(28,1),(30,1),(230,1),(243,1),(329,1)}
        13:{2,3,4,7}:{(4,1),(29,1),(31,1),(43,1),(92,1),(126,1),(233,1),(319,1),(333,1)}
        14:{1,2,4,6}:{(6,1),(27,1),(32,1),(33,1),(34,1),(106,1),(109,1),(219,1),(332,1),(335,1),(337,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(36,1),(37,1),(38,1),(48,1),(117,1),(132,1),(225,1),(235,1),(245,1)}
        16:{2,4,6}:{(5,1),(9,1),(37,1),(39,1),(40,1)}
        17:{2,3,5,7}:{(5,1),(38,1),(40,1),(41,1),(113,1),(124,1),(226,1),(236,1)}
        18:{2,3,6}:{(6,1),(32,1),(42,1),(43,1),(117,1),(357,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(43,1),(45,1),(355,1)}
        21:{1,4,5}:{(7,1),(9,1),(37,1),(44,1),(106,1),(358,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(45,1),(47,1),(48,1),(129,1),(429,1)}
        23:{3,4,5}:{(9,1),(39,1),(203,1),(313,1),(549,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(40,1),(47,1),(49,1),(50,1),(124,1),(204,1),(326,1)}
        25:{2,3,6}:{(10,1),(48,1),(50,1),(419,1),(430,1)}
        26:{2,3,5,6}:{(12,1),(51,1),(52,1),(53,1),(61,1),(135,1),(153,1),(248,1),(257,1)}
        27:{2,4,6}:{(11,1),(54,1),(55,1),(56,1),(145,1),(149,1),(376,1),(379,1)}
        28:{1,3,5}:{(11,1),(12,1),(55,1),(57,1),(147,1),(279,1),(380,1),(382,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(56,1),(58,1),(64,1),(141,1),(160,1),(258,1),(265,1),(377,1),(387,1)}
        30:{2,4,5}:{(12,1),(52,1),(57,1),(59,1),(78,1)}
        31:{2,3,5,7}:{(12,1),(13,1),(58,1),(60,1),(61,1),(292,1),(383,1)}
        32:{1,3,6}:{(14,1),(18,1),(54,1),(63,1),(64,1),(389,1)}
        33:{1,2,5}:{(14,1),(19,1),(55,1),(63,1),(279,1),(382,1)}
        34:{1,2,4,7}:{(14,1),(20,1),(56,1),(64,1),(66,1),(160,1),(387,1),(388,1)}
        35:{2,4,5,6}:{(16,1),(67,1),(68,1),(69,1),(86,1),(165,1),(187,1),(253,1),(371,1),(393,1),(521,1),(544,1)}
        36:{2,5,6}:{(15,1),(19,1),(71,1),(72,1),(82,1),(298,1)}
        37:{1,4,6}:{(15,1),(16,1),(21,1),(71,1),(74,1),(303,1)}
        38:{1,3,5,7}:{(15,1),(17,1),(72,1),(74,1),(75,1),(175,1),(179,1),(288,1),(299,1),(300,1)}
        39:{3,4,6}:{(16,1),(23,1),(68,1),(76,1),(544,1)}
        40:{2,4,7}:{(16,1),(17,1),(74,1),(76,1)}
        41:{2,3,6,7}:{(17,1),(25,1),(75,1),(77,1),(168,1),(289,1)}
        42:{2,3,5}:{(18,1),(19,1),(63,1),(78,1),(80,1)}
        43:{2,3,7}:{(18,1),(20,1),(64,1),(175,1)}
        44:{2,4,5}:{(19,1),(21,1),(71,1),(78,1),(80,1)}
        45:{2,5,7}:{(19,1),(20,1),(22,1),(82,1)}
        46:{1,3,4,5}:{(21,1),(23,1),(73,1),(80,1),(83,1),(159,1),(184,1),(271,1),(281,1),(390,1),(469,1)}
        47:{1,4,5,7}:{(21,1),(22,1),(24,1),(74,1),(81,1),(84,1),(160,1),(179,1),(279,1)}
        48:{1,3,6}:{(22,1),(25,1),(82,1),(84,1),(185,1),(467,1)}
        49:{3,4,5,7}:{(23,1),(24,1),(76,1),(85,1),(180,1),(265,1),(370,1),(380,1),(464,1)}
        50:{2,4,6}:{(24,1),(25,1),(84,1),(85,1),(86,1)}
        51:{1,3,5,6}:{(26,1),(28,1),(88,1),(89,1),(90,1),(100,1),(195,1),(210,1),(308,1),(318,1),(328,1)}
        52:{2,4,6}:{(26,1),(30,1),(89,1),(91,1),(92,1)}
        53:{2,3,5,7}:{(26,1),(90,1),(92,1),(93,1),(191,1),(202,1),(309,1),(319,1)}
        54:{2,3,6}:{(27,1),(32,1),(94,1),(95,1),(195,1),(426,1)}
        55:{2,5}:{(27,1),(28,1)}
        56:{2,4,7}:{(27,1),(29,1),(95,1),(97,1),(424,1)}
        57:{1,4,5}:{(28,1),(30,1),(89,1),(96,1),(106,1),(427,1)}
        58:{1,3,5,7}:{(28,1),(29,1),(31,1),(97,1),(99,1),(100,1),(207,1),(429,1)}
        59:{3,4,5}:{(30,1),(91,1),(125,1),(230,1),(552,1)}
        60:{2,4,5,7}:{(30,1),(31,1),(92,1),(99,1),(101,1),(102,1),(126,1),(202,1),(243,1)}
        61:{2,3,6}:{(31,1),(100,1),(102,1),(350,1),(430,1)}
        62:{1,2,5,6}:{(33,1),(36,1),(88,1),(103,1),(104,1),(105,1),(109,1),(225,1),(308,1),(329,1),(335,1),(343,1),(412,1),(428,1),(430,1),(497,1)}
        63:{1,3,5}:{(32,1),(33,1),(42,1),(94,1),(106,1)}
        64:{1,3,7}:{(32,1),(34,1),(43,1),(95,1)}
        65:{1,2,4,5}:{(33,1),(44,1),(96,1),(104,1),(106,1),(108,1),(131,1),(209,1),(212,1),(218,1),(244,1),(327,1),(329,1),(337,1),(428,1),(433,1),(480,1),(495,1)}
        66:{1,2,5,7}:{(33,1),(34,1),(45,1),(97,1),(107,1),(109,1),(429,1)}
        67:{1,4,5,6}:{(35,1),(37,1),(110,1),(111,1),(112,1),(132,1),(212,1),(225,1),(331,1),(340,1),(501,1)}
        68:{3,5,6}:{(35,1),(39,1),(113,1),(313,1),(419,1),(437,1)}
        69:{2,4,5,7}:{(35,1),(40,1),(112,1),(113,1),(114,1),(124,1),(226,1),(240,1),(438,1),(503,1),(535,1)}
        70:{2,3,5,6}:{(36,1),(42,1),(103,1),(115,1),(116,1),(117,1),(127,1),(216,1),(230,1),(243,1),(245,1),(329,1),(350,1),(351,1),(412,1),(430,1),(484,1),(490,1),(531,1),(546,1),(548,1)}
        71:{2,4,6}:{(36,1),(37,1),(44,1),(117,1),(118,1)}
        72:{2,5,7}:{(36,1),(38,1),(118,1),(119,1),(355,1)}
        73:{1,3,4,6}:{(37,1),(39,1),(46,1),(111,1),(117,1),(120,1),(121,1),(221,1),(235,1),(340,1),(437,1)}
        74:{1,4,7}:{(37,1),(38,1),(40,1),(118,1),(356,1)}
        75:{1,3,6,7}:{(38,1),(41,1),(48,1),(119,1),(122,1),(237,1),(347,1)}
        76:{3,4,7}:{(39,1),(40,1),(113,1),(535,1)}
        77:{2,4,6,7}:{(40,1),(41,1),(50,1),(122,1),(123,1),(124,1)}
        78:{2,4}:{(42,1),(106,1),(125,1)}
        79:{2,3,5,7}:{(42,1),(43,1),(45,1),(107,1),(126,1),(127,1),(129,1),(243,1)}
        80:{3,5}:{(44,1),(117,1),(125,1)}
        81:{2,4,5,7}:{(44,1),(45,1),(47,1),(118,1),(126,1),(129,1),(130,1),(238,1),(243,1),(356,1),(358,1)}
        82:{2,6}:{(45,1),(48,1)}
        83:{2,4,5}:{(46,1),(120,1),(128,1),(131,1),(218,1),(244,1),(329,1)}
        84:{1,4,6}:{(47,1),(48,1),(50,1),(130,1),(132,1)}
        85:{3,4,6}:{(49,1),(50,1),(133,1),(419,1),(493,1)}
        86:{2,5,6}:{(50,1),(124,1),(132,1),(133,1),(326,1)}
        87:{2,4,5,6}:{(52,1),(134,1),(135,1),(136,1),(153,1),(170,1),(248,1),(270,1),(293,1),(451,1),(539,1),(551,1)}
        88:{2,5,6}:{(51,1),(55,1),(138,1),(139,1),(149,1),(376,1)}
        89:{1,4,6}:{(51,1),(52,1),(57,1),(138,1),(141,1),(381,1)}
        90:{1,3,5,7}:{(51,1),(53,1),(139,1),(141,1),(142,1),(258,1),(262,1),(366,1),(377,1),(378,1)}
        91:{3,4,6}:{(52,1),(59,1),(135,1),(143,1),(551,1)}
        92:{2,4,7}:{(52,1),(53,1),(141,1),(143,1)}
        93:{2,3,6,7}:{(53,1),(61,1),(142,1),(144,1),(251,1),(367,1)}
        94:{2,3,5}:{(54,1),(55,1),(63,1),(145,1),(147,1)}
        95:{2,3,7}:{(54,1),(56,1),(64,1),(258,1)}
        96:{2,4,5}:{(55,1),(57,1),(138,1),(145,1),(147,1)}
        97:{2,5,7}:{(55,1),(56,1),(58,1),(149,1)}
        98:{1,3,4,5}:{(57,1),(59,1),(140,1),(147,1),(150,1),(159,1),(267,1),(271,1),(359,1),(448,1),(506,1)}
        99:{1,4,5,7}:{(57,1),(58,1),(60,1),(141,1),(148,1),(151,1),(160,1),(262,1),(279,1)}
       100:{1,3,6}:{(58,1),(61,1),(149,1),(151,1),(268,1),(467,1)}
       101:{3,4,5,7}:{(59,1),(60,1),(143,1),(152,1),(182,1),(263,1),(292,1),(302,1),(406,1)}
       102:{2,4,6}:{(60,1),(61,1),(151,1),(152,1),(153,1)}
       103:{1,3,5,6}:{(62,1),(63,1),(70,1),(137,1),(154,1),(155,1),(156,1),(161,1),(271,1),(276,1),(279,1),(382,1),(384,1),(385,1),(465,1),(467,1),(518,1),(542,1)}
       104:{1,2,4,6}:{(62,1),(65,1),(71,1),(138,1),(154,1),(156,1),(157,1),(177,1),(260,1),(273,1),(298,1),(376,1),(393,1),(451,1)}
       105:{1,2,5,7}:{(62,1),(72,1),(139,1),(155,1),(157,1),(158,1),(288,1),(366,1),(383,1),(388,1),(397,1),(455,1)}
       106:{1,4}:{(63,1),(78,1),(145,1)}
       107:{1,3,5,7}:{(63,1),(64,1),(66,1),(79,1),(146,1),(160,1),(161,1),(279,1)}
       108:{1,3,5}:{(65,1),(80,1),(147,1),(156,1),(159,1),(162,1),(389,1),(469,1),(506,1)}
       109:{1,2,6}:{(66,1),(82,1),(149,1),(161,1),(467,1)}
       110:{2,4,5,6}:{(67,1),(71,1),(163,1),(164,1),(165,1),(170,1),(186,1),(282,1),(293,1),(303,1),(472,1),(473,1)}
       111:{1,3,5,6}:{(67,1),(68,1),(73,1),(163,1),(165,1),(166,1),(271,1),(384,1)}
       112:{1,4,5,7}:{(67,1),(69,1),(74,1),(164,1),(166,1),(167,1),(179,1),(288,1),(394,1),(476,1)}
       113:{3,5,7}:{(68,1),(69,1),(76,1),(168,1),(474,1)}
       114:{2,4,6,7}:{(69,1),(167,1),(168,1),(169,1),(289,1),(290,1),(371,1)}
       115:{2,4,6}:{(70,1),(78,1),(154,1),(170,1),(171,1),(172,1),(303,1),(514,1),(551,1)}
       116:{2,3,5,7}:{(70,1),(72,1),(155,1),(172,1),(173,1),(175,1),(277,1),(292,1),(297,1),(300,1),(383,1),(455,1),(511,1),(540,1)}
       117:{3,6}:{(71,1),(80,1),(175,1)}
       118:{2,4,7}:{(71,1),(72,1),(74,1),(175,1)}
       119:{2,6,7}:{(72,1),(75,1),(82,1)}
       120:{2,4,6}:{(73,1),(83,1),(165,1),(174,1),(177,1),(178,1),(298,1)}
       121:{1,3,4,7}:{(73,1),(74,1),(76,1),(166,1),(175,1),(178,1),(283,1),(299,1),(394,1),(474,1)}
       122:{1,4,6,7}:{(74,1),(75,1),(77,1),(84,1),(176,1),(179,1)}
       123:{3,4,6,7}:{(76,1),(77,1),(85,1),(168,1),(180,1),(290,1)}
       124:{2,5,7}:{(77,1),(86,1),(179,1),(180,1)}
       125:{3,4}:{(78,1),(80,1)}
       126:{2,4,7}:{(78,1),(79,1),(160,1),(182,1),(183,1)}
       127:{2,3,6}:{(79,1),(82,1),(161,1),(183,1),(185,1)}
       128:{2,3,5}:{(80,1),(83,1),(174,1),(181,1),(184,1),(469,1)}
       129:{3,5,7}:{(80,1),(81,1),(175,1),(182,1),(185,1),(302,1)}
       130:{2,4,6}:{(81,1),(82,1),(84,1),(185,1),(186,1),(303,1)}
       131:{1,4,5}:{(83,1),(177,1),(184,1),(278,1),(382,1)}
       132:{1,5,6}:{(84,1),(86,1),(179,1),(186,1),(279,1)}
       133:{3,5,6}:{(85,1),(86,1),(180,1),(187,1),(380,1)}
       134:{1,4,5,6}:{(87,1),(89,1),(188,1),(189,1),(190,1),(210,1),(212,1),(308,1),(331,1),(409,1),(527,1)}
       135:{3,5,6}:{(87,1),(91,1),(191,1),(230,1),(350,1),(484,1)}
       136:{2,4,5,7}:{(87,1),(92,1),(190,1),(191,1),(192,1),(202,1),(309,1),(323,1),(485,1),(529,1),(547,1)}
       137:{2,3,5,6}:{(88,1),(94,1),(103,1),(193,1),(194,1),(195,1),(205,1),(216,1),(313,1),(326,1),(328,1),(329,1),(343,1),(419,1),(420,1),(430,1),(437,1),(443,1),(505,1),(534,1),(536,1)}
       138:{2,4,6}:{(88,1),(89,1),(96,1),(195,1),(196,1)}
       139:{2,5,7}:{(88,1),(90,1),(196,1),(197,1),(424,1)}
       140:{1,3,4,6}:{(89,1),(91,1),(98,1),(189,1),(195,1),(198,1),(199,1),(304,1),(318,1),(409,1),(484,1)}
       141:{1,4,7}:{(89,1),(90,1),(92,1),(196,1),(425,1)}
       142:{1,3,6,7}:{(90,1),(93,1),(100,1),(197,1),(200,1),(320,1),(416,1)}
       143:{3,4,7}:{(91,1),(92,1),(191,1),(547,1)}
       144:{2,4,6,7}:{(92,1),(93,1),(102,1),(200,1),(201,1),(202,1)}
       145:{2,4}:{(94,1),(106,1),(203,1)}
       146:{2,3,5,7}:{(94,1),(95,1),(97,1),(107,1),(204,1),(205,1),(207,1),(326,1)}
       147:{3,5}:{(96,1),(195,1),(203,1)}
       148:{2,4,5,7}:{(96,1),(97,1),(99,1),(196,1),(204,1),(207,1),(208,1),(321,1),(326,1),(425,1),(427,1)}
       149:{2,6}:{(97,1),(100,1)}
       150:{2,4,5}:{(98,1),(198,1),(206,1),(209,1),(218,1),(327,1),(329,1)}
       151:{1,4,6}:{(99,1),(100,1),(102,1),(208,1),(210,1)}
       152:{3,4,6}:{(101,1),(102,1),(211,1),(350,1),(446,1)}
       153:{2,5,6}:{(102,1),(202,1),(210,1),(211,1),(243,1)}
       154:{1,4,6}:{(103,1),(106,1),(115,1),(193,1),(212,1),(214,1),(495,1)}
       155:{1,3,5,7}:{(103,1),(105,1),(116,1),(194,1),(214,1),(215,1),(217,1),(334,1),(336,1),(429,1)}
       156:{1,3,6}:{(104,1),(108,1),(117,1),(195,1),(216,1),(217,1),(437,1),(484,1)}
       157:{1,2,4,7}:{(104,1),(105,1),(118,1),(196,1),(214,1),(217,1),(239,1),(322,1),(333,1),(355,1),(424,1),(438,1),(485,1)}
       158:{1,2,6,7}:{(105,1),(109,1),(119,1),(197,1),(215,1),(347,1),(416,1),(430,1),(442,1),(489,1),(497,1)}
       159:{1,3,4}:{(106,1),(108,1),(125,1),(203,1),(218,1),(495,1),(498,1),(524,1)}
       160:{1,4,7}:{(106,1),(107,1),(126,1),(204,1),(219,1)}
       161:{1,3,6}:{(107,1),(109,1),(127,1),(205,1),(219,1)}
       162:{2,3,5}:{(108,1),(216,1),(218,1),(220,1),(244,1),(327,1),(329,1),(357,1),(426,1)}
       163:{3,5,6}:{(110,1),(117,1),(221,1),(223,1),(230,1),(350,1)}
       164:{2,4,5,7}:{(110,1),(112,1),(118,1),(223,1),(224,1),(226,1),(238,1),(341,1),(356,1),(440,1),(441,1)}
       165:{2,5,6}:{(111,1),(120,1),(225,1),(226,1),(329,1),(430,1)}
       166:{1,3,5,7}:{(111,1),(112,1),(113,1),(121,1),(223,1),(226,1),(227,1)}
       167:{1,4,6,7}:{(112,1),(114,1),(224,1),(227,1),(228,1),(331,1),(347,1)}
       168:{3,6,7}:{(113,1),(114,1),(419,1)}
       169:{2,5,6,7}:{(114,1),(124,1),(228,1),(229,1),(420,1),(503,1)}
       170:{2,4,5}:{(115,1),(212,1),(230,1),(243,1),(329,1),(358,1),(548,1),(552,1)}
       171:{3,4,6}:{(115,1),(117,1),(125,1),(230,1),(233,1),(350,1),(484,1),(524,1)}
       172:{2,4,7}:{(115,1),(116,1),(214,1),(233,1),(356,1),(547,1)}
       173:{2,3,6,7}:{(116,1),(119,1),(127,1),(215,1),(234,1),(237,1),(350,1),(430,1),(489,1),(528,1),(531,1)}
       174:{2,3,6}:{(117,1),(120,1),(128,1),(235,1),(236,1),(437,1)}
       175:{3,7}:{(117,1),(118,1)}
       176:{2,4,6,7}:{(118,1),(119,1),(122,1),(130,1),(237,1),(238,1),(356,1)}
       177:{1,4,6}:{(120,1),(131,1),(225,1),(235,1),(239,1)}
       178:{2,4,7}:{(120,1),(121,1),(226,1),(236,1),(239,1),(355,1)}
       179:{1,5,7}:{(122,1),(124,1),(132,1),(238,1)}
       180:{3,5,7}:{(123,1),(124,1),(133,1),(240,1)}
       181:{2,3,4}:{(125,1),(128,1),(218,1),(241,1),(426,1),(498,1)}
       182:{3,4,7}:{(125,1),(126,1),(129,1),(242,1),(356,1)}
       183:{2,4,6}:{(126,1),(127,1),(219,1),(242,1),(243,1)}
       184:{1,3,5}:{(128,1),(131,1),(235,1),(241,1),(244,1)}
       185:{3,6}:{(129,1),(130,1)}
       186:{2,5,6}:{(130,1),(132,1),(238,1),(243,1),(245,1)}
       187:{4,5,6}:{(133,1),(240,1),(427,1),(493,1)}
       188:{2,4,5,6}:{(134,1),(138,1),(246,1),(247,1),(248,1),(253,1),(269,1),(360,1),(371,1),(381,1),(509,1),(510,1)}
       189:{1,3,5,6}:{(134,1),(135,1),(140,1),(246,1),(248,1),(249,1),(271,1),(384,1)}
       190:{1,4,5,7}:{(134,1),(136,1),(141,1),(247,1),(249,1),(250,1),(262,1),(366,1),(452,1),(513,1)}
       191:{3,5,7}:{(135,1),(136,1),(143,1),(251,1),(511,1)}
       192:{2,4,6,7}:{(136,1),(250,1),(251,1),(252,1),(293,1),(367,1),(368,1)}
       193:{2,4,6}:{(137,1),(145,1),(154,1),(253,1),(254,1),(255,1),(381,1),(477,1),(544,1)}
       194:{2,3,5,7}:{(137,1),(139,1),(155,1),(255,1),(256,1),(258,1),(277,1),(370,1),(375,1),(378,1),(383,1),(397,1),(474,1),(522,1)}
       195:{3,6}:{(138,1),(147,1),(258,1)}
       196:{2,4,7}:{(138,1),(139,1),(141,1),(258,1)}
       197:{2,6,7}:{(139,1),(142,1),(149,1)}
       198:{2,4,6}:{(140,1),(150,1),(248,1),(257,1),(260,1),(261,1),(376,1)}
       199:{1,3,4,7}:{(140,1),(141,1),(143,1),(249,1),(258,1),(261,1),(361,1),(377,1),(452,1),(511,1)}
       200:{1,4,6,7}:{(141,1),(142,1),(144,1),(151,1),(259,1),(262,1)}
       201:{3,4,6,7}:{(143,1),(144,1),(152,1),(251,1),(263,1),(368,1)}
       202:{2,5,7}:{(144,1),(153,1),(262,1),(263,1)}
       203:{3,4}:{(145,1),(147,1)}
       204:{2,4,7}:{(145,1),(146,1),(160,1),(265,1),(266,1)}
       205:{2,3,6}:{(146,1),(149,1),(161,1),(266,1),(268,1)}
       206:{2,3,5}:{(147,1),(150,1),(257,1),(264,1),(267,1),(506,1)}
       207:{3,5,7}:{(147,1),(148,1),(258,1),(265,1),(268,1),(380,1)}
       208:{2,4,6}:{(148,1),(149,1),(151,1),(268,1),(269,1),(381,1)}
       209:{1,4,5}:{(150,1),(260,1),(267,1),(278,1),(382,1)}
       210:{1,5,6}:{(151,1),(153,1),(262,1),(269,1),(279,1)}
       211:{3,5,6}:{(152,1),(153,1),(263,1),(270,1),(302,1)}
       212:{1,4,5}:{(154,1),(170,1),(253,1),(271,1),(279,1),(382,1),(542,1)}
       213:{1,3,4,6}:{(154,1),(156,1),(159,1),(171,1),(254,1),(271,1),(273,1),(274,1),(384,1)}
       214:{1,4,7}:{(154,1),(155,1),(172,1),(255,1)}
       215:{1,3,6,7}:{(155,1),(158,1),(161,1),(173,1),(256,1),(275,1),(384,1),(467,1),(518,1)}
       216:{2,3,6}:{(156,1),(162,1),(273,1),(276,1),(277,1),(298,1),(376,1)}
       217:{1,3,7}:{(156,1),(157,1),(175,1),(258,1),(277,1),(474,1),(511,1)}
       218:{2,4}:{(159,1),(162,1),(278,1)}
       219:{1,4,6}:{(160,1),(161,1),(183,1),(266,1),(279,1)}
       220:{1,3,5}:{(162,1),(276,1),(278,1),(280,1),(382,1),(389,1)}
       221:{3,4,6}:{(163,1),(281,1),(282,1),(283,1),(303,1)}
       222:{2,3,5,6}:{(163,1),(165,1),(174,1),(282,1),(284,1),(285,1),(291,1),(402,1),(472,1)}
       223:{3,5,7}:{(163,1),(164,1),(175,1),(283,1),(286,1)}
       224:{2,4,6,7}:{(164,1),(167,1),(286,1),(287,1),(289,1),(293,1),(399,1)}
       225:{1,5,6}:{(165,1),(177,1),(288,1),(382,1),(467,1)}
       226:{2,5,7}:{(165,1),(166,1),(178,1),(288,1),(289,1)}
       227:{1,3,6,7}:{(166,1),(167,1),(168,1),(286,1),(289,1),(384,1)}
       228:{1,5,6,7}:{(167,1),(169,1),(179,1),(287,1),(385,1),(476,1)}
       229:{3,5,6,7}:{(168,1),(169,1),(180,1),(290,1),(461,1),(522,1)}
       230:{3,5}:{(170,1),(171,1)}
       231:{2,4,5,7}:{(170,1),(172,1),(272,1),(292,1),(293,1),(297,1),(383,1),(406,1)}
       232:{2,3,4,6}:{(171,1),(174,1),(181,1),(273,1),(282,1),(291,1),(294,1),(295,1),(402,1),(462,1),(514,1),(541,1)}
       233:{3,4,7}:{(171,1),(172,1),(175,1),(292,1),(511,1)}
       234:{2,4,6,7}:{(172,1),(173,1),(183,1),(275,1),(293,1),(296,1),(297,1),(541,1)}
       235:{1,3,6}:{(174,1),(177,1),(184,1),(298,1),(299,1)}
       236:{2,3,7}:{(174,1),(175,1),(178,1),(299,1),(474,1)}
       237:{3,6,7}:{(175,1),(176,1),(185,1),(300,1)}
       238:{2,5,7}:{(176,1),(179,1),(186,1),(300,1)}
       239:{1,4,7}:{(177,1),(178,1),(288,1),(299,1)}
       240:{4,5,7}:{(180,1),(187,1),(290,1)}
       241:{1,3,4}:{(181,1),(184,1),(278,1),(301,1),(389,1)}
       242:{3,4,6}:{(182,1),(183,1),(185,1),(302,1),(303,1)}
       243:{2,5}:{(183,1),(279,1),(302,1)}
       244:{2,5}:{(184,1),(298,1),(301,1)}
       245:{3,5,6}:{(185,1),(186,1),(300,1),(302,1),(303,1)}
       246:{3,5,6}:{(188,1),(195,1),(304,1),(306,1),(313,1),(419,1)}
       247:{2,4,5,7}:{(188,1),(190,1),(196,1),(306,1),(307,1),(309,1),(321,1),(410,1),(425,1),(487,1),(488,1)}
       248:{2,5,6}:{(189,1),(198,1),(308,1),(309,1),(329,1),(430,1)}
       249:{1,3,5,7}:{(189,1),(190,1),(191,1),(199,1),(306,1),(309,1),(310,1)}
       250:{1,4,6,7}:{(190,1),(192,1),(307,1),(310,1),(311,1),(331,1),(416,1)}
       251:{3,6,7}:{(191,1),(192,1),(350,1)}
       252:{2,5,6,7}:{(192,1),(202,1),(311,1),(312,1),(351,1),(529,1)}
       253:{2,4,5}:{(193,1),(212,1),(313,1),(326,1),(329,1),(427,1),(536,1),(549,1)}
       254:{3,4,6}:{(193,1),(195,1),(203,1),(313,1),(316,1),(419,1),(437,1),(498,1)}
       255:{2,4,7}:{(193,1),(194,1),(214,1),(316,1),(425,1),(535,1)}
       256:{2,3,6,7}:{(194,1),(197,1),(205,1),(215,1),(317,1),(320,1),(419,1),(430,1),(442,1),(502,1),(505,1)}
       257:{2,3,6}:{(195,1),(198,1),(206,1),(318,1),(319,1),(484,1)}
       258:{3,7}:{(195,1),(196,1)}
       259:{2,4,6,7}:{(196,1),(197,1),(200,1),(208,1),(320,1),(321,1),(425,1)}
       260:{1,4,6}:{(198,1),(209,1),(308,1),(318,1),(322,1)}
       261:{2,4,7}:{(198,1),(199,1),(309,1),(319,1),(322,1),(424,1)}
       262:{1,5,7}:{(200,1),(202,1),(210,1),(321,1)}
       263:{3,5,7}:{(201,1),(202,1),(211,1),(323,1)}
       264:{2,3,4}:{(203,1),(206,1),(218,1),(324,1),(357,1),(524,1)}
       265:{3,4,7}:{(203,1),(204,1),(207,1),(325,1),(425,1)}
       266:{2,4,6}:{(204,1),(205,1),(219,1),(325,1),(326,1)}
       267:{1,3,5}:{(206,1),(209,1),(318,1),(324,1),(327,1)}
       268:{3,6}:{(207,1),(208,1)}
       269:{2,5,6}:{(208,1),(210,1),(321,1),(326,1),(328,1)}
       270:{4,5,6}:{(211,1),(323,1),(358,1),(446,1)}
       271:{1,3,5}:{(212,1),(213,1),(230,1),(313,1),(329,1)}
       272:{1,4,5,7}:{(212,1),(214,1),(231,1),(314,1),(330,1),(331,1),(334,1),(429,1)}
       273:{2,4,6}:{(213,1),(216,1),(218,1),(329,1),(332,1),(333,1),(430,1)}
       274:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(316,1),(330,1),(333,1)}
       275:{1,4,6,7}:{(214,1),(215,1),(219,1),(234,1),(317,1),(331,1),(334,1),(532,1)}
       276:{1,3,6}:{(216,1),(220,1),(332,1),(335,1),(336,1)}
       277:{2,3,7}:{(216,1),(217,1),(333,1),(336,1),(355,1),(424,1)}
       278:{1,4}:{(218,1),(220,1)}
       279:{1,5}:{(219,1),(243,1),(326,1)}
       280:{1,2,5}:{(220,1),(244,1),(327,1),(335,1),(337,1)}
       281:{3,4,5}:{(221,1),(230,1),(338,1),(358,1),(524,1)}
       282:{2,4,6}:{(221,1),(222,1),(338,1),(340,1),(341,1)}
       283:{3,4,7}:{(221,1),(223,1),(341,1),(356,1)}
       284:{1,3,5,6}:{(222,1),(225,1),(235,1),(340,1),(343,1),(344,1),(348,1),(437,1),(445,1),(501,1),(534,1)}
       285:{2,3,5,7}:{(222,1),(223,1),(226,1),(236,1),(341,1),(344,1),(345,1),(440,1)}
       286:{3,6,7}:{(223,1),(224,1),(350,1)}
       287:{2,5,6,7}:{(224,1),(228,1),(238,1),(346,1),(351,1),(440,1)}
       288:{1,5,7}:{(225,1),(226,1),(239,1),(347,1)}
       289:{2,6,7}:{(226,1),(227,1),(347,1),(430,1)}
       290:{4,6,7}:{(229,1),(240,1),(493,1),(535,1)}
       291:{2,3,5}:{(230,1),(232,1),(329,1),(338,1),(348,1),(548,1)}
       292:{3,5,7}:{(230,1),(231,1),(233,1),(350,1)}
       293:{2,4,6}:{(231,1),(331,1),(350,1),(351,1),(430,1),(446,1)}
       294:{1,3,4,6}:{(232,1),(235,1),(241,1),(332,1),(340,1),(348,1),(352,1),(353,1),(431,1),(437,1),(445,1),(495,1),(498,1),(532,1),(533,1)}
       295:{2,3,4,7}:{(232,1),(233,1),(236,1),(333,1),(341,1),(349,1),(353,1),(494,1),(530,1)}
       296:{3,4,6,7}:{(233,1),(234,1),(237,1),(242,1),(350,1),(354,1),(356,1),(446,1),(528,1),(545,1),(547,1)}
       297:{2,5,7}:{(234,1),(243,1),(334,1),(351,1),(354,1),(548,1)}
       298:{2,6}:{(235,1),(244,1),(355,1)}
       299:{1,3,7}:{(235,1),(236,1),(239,1),(355,1)}
       300:{3,5,7}:{(237,1),(238,1),(245,1),(356,1)}
       301:{2,4}:{(241,1),(244,1),(357,1)}
       302:{3,5}:{(242,1),(243,1),(358,1)}
       303:{4,6}:{(245,1),(356,1),(358,1)}
       304:{3,4,6}:{(246,1),(359,1),(360,1),(361,1),(381,1)}
       305:{2,3,5,6}:{(246,1),(248,1),(257,1),(360,1),(362,1),(363,1),(369,1),(460,1),(509,1)}
       306:{3,5,7}:{(246,1),(247,1),(258,1),(361,1),(364,1)}
       307:{2,4,6,7}:{(247,1),(250,1),(364,1),(365,1),(367,1),(371,1),(457,1)}
       308:{1,5,6}:{(248,1),(260,1),(366,1),(382,1),(467,1)}
       309:{2,5,7}:{(248,1),(249,1),(261,1),(366,1),(367,1)}
       310:{1,3,6,7}:{(249,1),(250,1),(251,1),(364,1),(367,1),(384,1)}
       311:{1,5,6,7}:{(250,1),(252,1),(262,1),(365,1),(385,1),(513,1)}
       312:{3,5,6,7}:{(251,1),(252,1),(263,1),(368,1),(403,1),(540,1)}
       313:{3,5}:{(253,1),(254,1)}
       314:{2,4,5,7}:{(253,1),(255,1),(272,1),(370,1),(371,1),(375,1),(383,1),(464,1)}
       315:{2,3,4,6}:{(254,1),(257,1),(264,1),(273,1),(360,1),(369,1),(372,1),(373,1),(404,1),(460,1),(477,1),(523,1)}
       316:{3,4,7}:{(254,1),(255,1),(258,1),(370,1),(474,1)}
       317:{2,4,6,7}:{(255,1),(256,1),(266,1),(275,1),(371,1),(374,1),(375,1),(523,1)}
       318:{1,3,6}:{(257,1),(260,1),(267,1),(376,1),(377,1)}
       319:{2,3,7}:{(257,1),(258,1),(261,1),(377,1),(511,1)}
       320:{3,6,7}:{(258,1),(259,1),(268,1),(378,1)}
       321:{2,5,7}:{(259,1),(262,1),(269,1),(378,1)}
       322:{1,4,7}:{(260,1),(261,1),(366,1),(377,1)}
       323:{4,5,7}:{(263,1),(270,1),(368,1)}
       324:{1,3,4}:{(264,1),(267,1),(278,1),(379,1),(389,1)}
       325:{3,4,6}:{(265,1),(266,1),(268,1),(380,1),(381,1)}
       326:{2,5}:{(266,1),(279,1),(380,1)}
       327:{2,5}:{(267,1),(376,1),(379,1)}
       328:{3,5,6}:{(268,1),(269,1),(378,1),(380,1),(381,1)}
       329:{2,5}:{(271,1),(273,1),(382,1)}
       330:{1,3,5,7}:{(271,1),(272,1),(274,1),(292,1),(370,1),(383,1),(384,1)}
       331:{1,4,6}:{(272,1),(293,1),(371,1),(384,1),(385,1),(467,1)}
       332:{1,4,6}:{(273,1),(276,1),(278,1),(382,1),(387,1),(467,1)}
       333:{2,4,7}:{(273,1),(274,1),(277,1),(383,1),(387,1)}
       334:{1,5,7}:{(275,1),(279,1),(297,1),(375,1),(385,1),(542,1)}
       335:{1,2,6}:{(276,1),(280,1),(298,1),(376,1),(388,1)}
       336:{1,3,7}:{(276,1),(277,1),(387,1),(388,1)}
       337:{1,2,4}:{(278,1),(280,1),(301,1),(379,1),(389,1)}
       338:{2,4,5}:{(281,1),(282,1),(291,1),(390,1),(514,1)}
       339:{3,4,5,7}:{(281,1),(283,1),(292,1),(391,1),(392,1),(396,1),(406,1),(537,1),(550,1)}
       340:{1,4,6}:{(282,1),(284,1),(390,1),(393,1),(394,1),(544,1)}
       341:{2,4,7}:{(282,1),(283,1),(285,1),(394,1)}
       342:{3,4,6,7}:{(283,1),(286,1),(392,1),(395,1),(396,1),(399,1)}
       343:{2,5,6}:{(284,1),(298,1),(393,1),(397,1),(400,1),(479,1)}
       344:{1,3,5,7}:{(284,1),(285,1),(288,1),(299,1),(394,1),(397,1),(398,1),(474,1),(476,1),(522,1)}
       345:{2,3,6,7}:{(285,1),(286,1),(289,1),(395,1),(398,1),(402,1)}
       346:{3,5,6,7}:{(286,1),(287,1),(300,1),(396,1),(399,1),(403,1)}
       347:{1,6,7}:{(288,1),(289,1),(467,1)}
       348:{1,3,5}:{(291,1),(294,1),(382,1),(390,1),(400,1),(469,1),(542,1),(543,1)}
       349:{2,3,5,7}:{(291,1),(292,1),(295,1),(383,1),(391,1),(401,1),(402,1)}
       350:{3,6}:{(292,1),(293,1)}
       351:{2,5,6}:{(293,1),(297,1),(385,1),(403,1)}
       352:{2,4,6}:{(294,1),(298,1),(301,1),(400,1),(404,1),(405,1),(477,1),(479,1)}
       353:{1,3,4,7}:{(294,1),(295,1),(299,1),(387,1),(394,1),(401,1),(405,1),(468,1),(474,1),(517,1),(519,1)}
       354:{3,5,7}:{(296,1),(297,1),(302,1),(403,1),(406,1),(550,1)}
       355:{2,7}:{(298,1),(299,1)}
       356:{4,7}:{(300,1),(303,1)}
       357:{2,3}:{(301,1),(389,1)}
       358:{4,5}:{(302,1),(303,1)}
       359:{3,4,5}:{(304,1),(313,1),(407,1),(427,1),(498,1)}
       360:{2,4,6}:{(304,1),(305,1),(407,1),(409,1),(410,1)}
       361:{3,4,7}:{(304,1),(306,1),(410,1),(425,1)}
       362:{1,3,5,6}:{(305,1),(308,1),(318,1),(409,1),(412,1),(413,1),(417,1),(484,1),(492,1),(527,1),(546,1)}
       363:{2,3,5,7}:{(305,1),(306,1),(309,1),(319,1),(410,1),(413,1),(414,1),(487,1)}
       364:{3,6,7}:{(306,1),(307,1),(419,1)}
       365:{2,5,6,7}:{(307,1),(311,1),(321,1),(415,1),(420,1),(487,1)}
       366:{1,5,7}:{(308,1),(309,1),(322,1),(416,1)}
       367:{2,6,7}:{(309,1),(310,1),(416,1),(430,1)}
       368:{4,6,7}:{(312,1),(323,1),(446,1),(547,1)}
       369:{2,3,5}:{(313,1),(315,1),(329,1),(407,1),(417,1),(536,1)}
       370:{3,5,7}:{(313,1),(314,1),(316,1),(419,1)}
       371:{2,4,6}:{(314,1),(331,1),(419,1),(420,1),(430,1),(493,1)}
       372:{1,3,4,6}:{(315,1),(318,1),(324,1),(332,1),(409,1),(417,1),(421,1),(422,1),(431,1),(484,1),(492,1),(495,1),(524,1),(532,1),(545,1)}
       373:{2,3,4,7}:{(315,1),(316,1),(319,1),(333,1),(410,1),(418,1),(422,1),(447,1),(504,1)}
       374:{3,4,6,7}:{(316,1),(317,1),(320,1),(325,1),(419,1),(423,1),(425,1),(493,1),(502,1),(533,1),(535,1)}
       375:{2,5,7}:{(317,1),(326,1),(334,1),(420,1),(423,1),(536,1)}
       376:{2,6}:{(318,1),(327,1),(424,1)}
       377:{1,3,7}:{(318,1),(319,1),(322,1),(424,1)}
       378:{3,5,7}:{(320,1),(321,1),(328,1),(425,1)}
       379:{2,4}:{(324,1),(327,1),(426,1)}
       380:{3,5}:{(325,1),(326,1),(427,1)}
       381:{4,6}:{(328,1),(425,1),(427,1)}
       382:{1,5}:{(329,1),(332,1)}
       383:{2,5,7}:{(329,1),(330,1),(333,1),(429,1),(430,1)}
       384:{1,3,6}:{(330,1),(331,1),(350,1),(419,1),(430,1)}
       385:{1,5,6}:{(331,1),(334,1),(351,1),(420,1)}
       386:{1,2,4,6}:{(332,1),(335,1),(337,1),(352,1),(421,1),(428,1),(431,1),(432,1),(495,1),(497,1),(532,1)}
       387:{1,4,7}:{(332,1),(333,1),(336,1),(429,1)}
       388:{1,2,7}:{(335,1),(336,1),(355,1),(424,1)}
       389:{1,3}:{(337,1),(357,1),(426,1)}
       390:{1,4,5}:{(338,1),(340,1),(348,1),(433,1),(495,1),(549,1)}
       391:{2,4,5,7}:{(338,1),(339,1),(341,1),(349,1),(434,1),(435,1),(440,1),(530,1),(548,1)}
       392:{3,4,6}:{(339,1),(350,1),(435,1),(436,1),(446,1)}
       393:{2,4,6}:{(340,1),(343,1),(433,1),(437,1),(438,1)}
       394:{1,4,7}:{(340,1),(341,1),(344,1),(438,1),(535,1)}
       395:{2,4,6,7}:{(341,1),(342,1),(345,1),(435,1),(439,1),(440,1)}
       396:{3,5,7}:{(342,1),(436,1),(440,1),(441,1)}
       397:{2,5,7}:{(343,1),(344,1),(355,1),(438,1),(442,1)}
       398:{1,3,6,7}:{(344,1),(345,1),(347,1),(439,1),(442,1),(445,1),(502,1)}
       399:{4,6,7}:{(346,1),(356,1),(441,1),(446,1)}
       400:{2,5}:{(348,1),(352,1)}
       401:{1,3,5,7}:{(348,1),(349,1),(353,1),(429,1),(434,1),(444,1),(445,1),(499,1)}
       402:{2,3,6}:{(349,1),(350,1),(430,1),(435,1),(445,1)}
       403:{3,5,6}:{(350,1),(351,1),(354,1),(446,1)}
       404:{2,3,6}:{(352,1),(357,1),(431,1),(437,1),(443,1),(447,1)}
       405:{2,4,7}:{(352,1),(353,1),(355,1),(444,1),(447,1)}
       406:{4,5,7}:{(354,1),(356,1),(358,1),(446,1),(547,1),(552,1)}
       407:{2,4,5}:{(359,1),(360,1),(369,1),(448,1),(477,1)}
       408:{3,4,5,7}:{(359,1),(361,1),(370,1),(449,1),(450,1),(454,1),(464,1),(519,1),(543,1)}
       409:{1,4,6}:{(360,1),(362,1),(448,1),(451,1),(452,1),(551,1)}
       410:{2,4,7}:{(360,1),(361,1),(363,1),(452,1)}
       411:{3,4,6,7}:{(361,1),(364,1),(450,1),(453,1),(454,1),(457,1)}
       412:{2,5,6}:{(362,1),(376,1),(451,1),(455,1),(458,1),(516,1)}
       413:{1,3,5,7}:{(362,1),(363,1),(366,1),(377,1),(452,1),(455,1),(456,1),(511,1),(513,1),(540,1)}
       414:{2,3,6,7}:{(363,1),(364,1),(367,1),(453,1),(456,1),(460,1)}
       415:{3,5,6,7}:{(364,1),(365,1),(378,1),(454,1),(457,1),(461,1)}
       416:{1,6,7}:{(366,1),(367,1),(467,1)}
       417:{1,3,5}:{(369,1),(372,1),(382,1),(448,1),(458,1),(506,1),(542,1),(550,1)}
       418:{2,3,5,7}:{(369,1),(370,1),(373,1),(383,1),(449,1),(459,1),(460,1)}
       419:{3,6}:{(370,1),(371,1)}
       420:{2,5,6}:{(371,1),(375,1),(385,1),(461,1)}
       421:{2,4,6}:{(372,1),(376,1),(379,1),(458,1),(462,1),(463,1),(514,1),(516,1)}
       422:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(452,1),(459,1),(463,1),(468,1),(511,1),(517,1),(537,1)}
       423:{3,5,7}:{(374,1),(375,1),(380,1),(461,1),(464,1),(543,1)}
       424:{2,7}:{(376,1),(377,1)}
       425:{4,7}:{(378,1),(381,1)}
       426:{2,3}:{(379,1),(389,1)}
       427:{4,5}:{(380,1),(381,1)}
       428:{1,2,5}:{(382,1),(386,1),(400,1),(458,1),(465,1),(542,1)}
       429:{1,5,7}:{(382,1),(383,1),(387,1),(467,1)}
       430:{2,6}:{(383,1),(384,1),(467,1)}
       431:{1,3,6}:{(386,1),(389,1),(404,1),(462,1),(465,1),(468,1)}
       432:{1,2,4,7}:{(386,1),(387,1),(388,1),(405,1),(463,1),(466,1),(468,1),(517,1)}
       433:{2,4,5}:{(390,1),(393,1),(400,1),(469,1),(477,1)}
       434:{1,4,5,7}:{(390,1),(391,1),(394,1),(401,1),(470,1),(471,1),(476,1),(517,1),(542,1)}
       435:{2,4,6}:{(391,1),(392,1),(402,1),(471,1),(472,1)}
       436:{3,5,6}:{(392,1),(396,1),(472,1),(473,1),(550,1)}
       437:{3,6}:{(393,1),(469,1),(474,1)}
       438:{2,4,7}:{(393,1),(394,1),(397,1),(474,1)}
       439:{1,4,6,7}:{(394,1),(395,1),(398,1),(471,1),(475,1),(476,1)}
       440:{2,5,7}:{(395,1),(396,1),(472,1),(476,1)}
       441:{4,5,7}:{(396,1),(399,1),(473,1)}
       442:{2,6,7}:{(397,1),(398,1),(479,1)}
       443:{2,3,5}:{(400,1),(404,1),(465,1),(469,1),(477,1)}
       444:{2,5,7}:{(400,1),(401,1),(405,1),(479,1)}
       445:{1,3,6}:{(401,1),(402,1),(467,1),(471,1),(479,1),(520,1)}
       446:{4,6}:{(403,1),(406,1)}
       447:{2,3,7}:{(404,1),(405,1),(468,1),(474,1)}
       448:{1,4,5}:{(407,1),(409,1),(417,1),(480,1),(495,1),(552,1)}
       449:{2,4,5,7}:{(407,1),(408,1),(410,1),(418,1),(481,1),(482,1),(487,1),(504,1),(536,1)}
       450:{3,4,6}:{(408,1),(419,1),(482,1),(483,1),(493,1)}
       451:{2,4,6}:{(409,1),(412,1),(480,1),(484,1),(485,1)}
       452:{1,4,7}:{(409,1),(410,1),(413,1),(485,1),(547,1)}
       453:{2,4,6,7}:{(410,1),(411,1),(414,1),(482,1),(486,1),(487,1)}
       454:{3,5,7}:{(411,1),(483,1),(487,1),(488,1)}
       455:{2,5,7}:{(412,1),(413,1),(424,1),(485,1),(489,1)}
       456:{1,3,6,7}:{(413,1),(414,1),(416,1),(486,1),(489,1),(492,1),(528,1)}
       457:{4,6,7}:{(415,1),(425,1),(488,1),(493,1)}
       458:{2,5}:{(417,1),(421,1)}
       459:{1,3,5,7}:{(417,1),(418,1),(422,1),(429,1),(481,1),(491,1),(492,1),(525,1)}
       460:{2,3,6}:{(418,1),(419,1),(430,1),(482,1),(492,1)}
       461:{3,5,6}:{(419,1),(420,1),(423,1),(493,1)}
       462:{2,3,6}:{(421,1),(426,1),(431,1),(484,1),(490,1),(494,1)}
       463:{2,4,7}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       464:{4,5,7}:{(423,1),(425,1),(427,1),(493,1),(535,1),(549,1)}
       465:{1,3,5}:{(428,1),(431,1),(443,1),(490,1),(495,1)}
       466:{1,2,5,7}:{(428,1),(429,1),(432,1),(444,1),(491,1),(496,1),(497,1)}
       467:{1,6}:{(429,1),(430,1)}
       468:{1,3,7}:{(431,1),(432,1),(447,1),(494,1)}
       469:{3,5}:{(433,1),(437,1),(498,1)}
       470:{2,4,5,7}:{(433,1),(434,1),(438,1),(444,1),(499,1),(500,1),(503,1),(504,1),(535,1),(536,1),(549,1)}
       471:{1,4,6}:{(434,1),(435,1),(445,1),(500,1),(501,1)}
       472:{2,5,6}:{(435,1),(436,1),(440,1),(501,1),(548,1)}
       473:{4,5,6}:{(436,1),(441,1),(446,1),(552,1)}
       474:{3,7}:{(437,1),(438,1)}
       475:{2,4,6,7}:{(438,1),(439,1),(442,1),(500,1),(502,1),(503,1),(535,1)}
       476:{1,5,7}:{(439,1),(440,1),(501,1),(503,1)}
       477:{2,4}:{(443,1),(495,1),(498,1)}
       478:{2,3,5,7}:{(443,1),(444,1),(447,1),(496,1),(499,1),(504,1),(505,1),(536,1)}
       479:{2,6}:{(444,1),(445,1)}
       480:{2,4,5}:{(448,1),(451,1),(458,1),(506,1),(514,1)}
       481:{1,4,5,7}:{(448,1),(449,1),(452,1),(459,1),(507,1),(508,1),(513,1),(517,1),(542,1)}
       482:{2,4,6}:{(449,1),(450,1),(460,1),(508,1),(509,1)}
       483:{3,5,6}:{(450,1),(454,1),(509,1),(510,1),(543,1)}
       484:{3,6}:{(451,1),(506,1),(511,1)}
       485:{2,4,7}:{(451,1),(452,1),(455,1),(511,1)}
       486:{1,4,6,7}:{(452,1),(453,1),(456,1),(508,1),(512,1),(513,1)}
       487:{2,5,7}:{(453,1),(454,1),(509,1),(513,1)}
       488:{4,5,7}:{(454,1),(457,1),(510,1)}
       489:{2,6,7}:{(455,1),(456,1),(516,1)}
       490:{2,3,5}:{(458,1),(462,1),(465,1),(506,1),(514,1)}
       491:{2,5,7}:{(458,1),(459,1),(463,1),(516,1)}
       492:{1,3,6}:{(459,1),(460,1),(467,1),(508,1),(516,1),(538,1)}
       493:{4,6}:{(461,1),(464,1)}
       494:{2,3,7}:{(462,1),(463,1),(468,1),(511,1)}
       495:{1,4}:{(465,1),(477,1),(514,1)}
       496:{1,3,5,7}:{(465,1),(466,1),(468,1),(478,1),(515,1),(517,1),(518,1),(542,1)}
       497:{1,2,6}:{(466,1),(467,1),(479,1),(516,1),(518,1)}
       498:{3,4}:{(469,1),(477,1)}
       499:{3,5,7}:{(469,1),(470,1),(474,1),(519,1),(520,1),(543,1)}
       500:{2,4,6}:{(470,1),(471,1),(479,1),(520,1),(521,1),(544,1)}
       501:{1,5,6}:{(471,1),(472,1),(476,1),(521,1),(542,1)}
       502:{3,6,7}:{(474,1),(475,1),(520,1),(522,1)}
       503:{2,5,7}:{(475,1),(476,1),(521,1),(522,1)}
       504:{2,4,7}:{(477,1),(478,1),(517,1),(519,1),(523,1)}
       505:{2,3,6}:{(478,1),(479,1),(518,1),(520,1),(523,1)}
       506:{3,5}:{(480,1),(484,1),(524,1)}
       507:{2,4,5,7}:{(480,1),(481,1),(485,1),(491,1),(525,1),(526,1),(529,1),(530,1),(547,1),(548,1),(552,1)}
       508:{1,4,6}:{(481,1),(482,1),(492,1),(526,1),(527,1)}
       509:{2,5,6}:{(482,1),(483,1),(487,1),(527,1),(536,1)}
       510:{4,5,6}:{(483,1),(488,1),(493,1),(549,1)}
       511:{3,7}:{(484,1),(485,1)}
       512:{2,4,6,7}:{(485,1),(486,1),(489,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,5,7}:{(486,1),(487,1),(527,1),(529,1)}
       514:{2,4}:{(490,1),(495,1),(524,1)}
       515:{2,3,5,7}:{(490,1),(491,1),(494,1),(496,1),(525,1),(530,1),(531,1),(548,1)}
       516:{2,6}:{(491,1),(492,1)}
       517:{1,4,7}:{(495,1),(496,1),(504,1),(530,1),(532,1)}
       518:{1,3,6}:{(496,1),(497,1),(505,1),(531,1),(532,1)}
       519:{3,4,7}:{(498,1),(499,1),(504,1),(533,1),(535,1)}
       520:{3,6}:{(499,1),(500,1)}
       521:{2,5,6}:{(500,1),(501,1),(503,1),(534,1),(536,1)}
       522:{3,5,7}:{(502,1),(503,1),(534,1),(535,1)}
       523:{2,4,6}:{(504,1),(505,1),(532,1),(533,1),(536,1)}
       524:{3,4}:{(506,1),(514,1)}
       525:{3,5,7}:{(506,1),(507,1),(511,1),(537,1),(538,1),(550,1)}
       526:{2,4,6}:{(507,1),(508,1),(516,1),(538,1),(539,1),(551,1)}
       527:{1,5,6}:{(508,1),(509,1),(513,1),(539,1),(542,1)}
       528:{3,6,7}:{(511,1),(512,1),(538,1),(540,1)}
       529:{2,5,7}:{(512,1),(513,1),(539,1),(540,1)}
       530:{2,4,7}:{(514,1),(515,1),(517,1),(537,1),(541,1)}
       531:{2,3,6}:{(515,1),(516,1),(518,1),(538,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,4,6}:{(519,1),(520,1),(523,1),(543,1),(544,1)}
       534:{3,5,6}:{(520,1),(521,1),(522,1),(543,1),(544,1)}
       535:{4,7}:{(522,1),(544,1)}
       536:{2,5}:{(523,1),(542,1),(543,1)}
       537:{3,4,7}:{(524,1),(525,1),(530,1),(545,1),(547,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{2,5,6}:{(526,1),(527,1),(529,1),(546,1),(548,1)}
       540:{3,5,7}:{(528,1),(529,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{3,5}:{(533,1),(536,1),(549,1)}
       544:{4,6}:{(534,1),(535,1),(549,1)}
       545:{3,4,6}:{(537,1),(538,1),(541,1),(550,1),(551,1)}
       546:{3,5,6}:{(538,1),(539,1),(540,1),(550,1),(551,1)}
       547:{4,7}:{(540,1),(551,1)}
       548:{2,5}:{(541,1),(542,1),(550,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{3,5}:{(545,1),(548,1),(552,1)}
       551:{4,6}:{(546,1),(547,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 758 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(64,1),(86,1),(142,1),(276,1),(344,1),(354,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(44,1),(55,1),(130,1),(181,1),(282,1),(378,1),(389,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(389,1),(397,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(38,1),(107,1),(113,1),(128,1),(225,1),(327,1),(399,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(51,1),(103,1),(191,1),(199,1),(226,1),(229,1),(295,1),(306,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(26,1),(80,1),(148,1),(274,1),(346,1),(354,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(29,1),(76,1),(86,1),(142,1),(242,1)}
         7:{3,4,6}:{(1,1),(19,1),(21,1),(418,1),(429,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(28,1),(72,1),(437,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(429,1),(436,1)}
        10:{2,4,7}:{(3,1),(22,1),(26,1),(27,1),(375,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(27,1),(28,1),(70,1),(85,1),(153,1),(158,1),(160,1),(175,1),(178,1),(277,1),(279,1),(355,1)}
        12:{2,3,5}:{(4,1),(28,1),(29,1),(242,1),(343,1),(353,1)}
        13:{3,4,5,7}:{(30,1),(31,1),(95,1),(106,1),(113,1),(198,1),(211,1),(312,1),(323,1)}
        14:{2,3,5,7}:{(5,1),(30,1),(32,1),(33,1),(36,1),(323,1),(397,1)}
        15:{1,3,4,7}:{(5,1),(32,1),(34,1),(35,1),(38,1),(107,1),(181,1),(196,1),(296,1),(393,1),(399,1)}
        16:{2,3,4,6}:{(5,1),(33,1),(35,1),(36,1),(52,1),(102,1),(123,1),(131,1),(224,1),(297,1),(300,1),(306,1)}
        17:{1,2,4,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(107,1),(399,1),(401,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(40,1),(41,1),(54,1),(107,1),(117,1),(128,1),(203,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(41,1),(43,1)}
        20:{3,4,6,7}:{(7,1),(42,1),(44,1),(122,1),(130,1),(220,1)}
        21:{3,5,6}:{(7,1),(43,1),(44,1),(45,1),(282,1)}
        22:{2,5,7}:{(8,1),(10,1),(47,1),(53,1)}
        23:{1,3,6}:{(8,1),(9,1),(41,1),(47,1),(114,1),(469,1)}
        24:{2,3,6,7}:{(9,1),(42,1),(48,1),(50,1),(220,1),(320,1)}
        25:{2,3,5,6}:{(9,1),(12,1),(43,1),(49,1),(50,1),(51,1),(121,1),(219,1),(226,1)}
        26:{2,3,7}:{(10,1),(38,1),(52,1),(225,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(52,1),(53,1),(131,1),(328,1),(329,1)}
        28:{1,3,5}:{(11,1),(12,1),(53,1),(54,1),(132,1),(203,1),(211,1),(398,1)}
        29:{2,4,5}:{(12,1),(51,1),(54,1),(55,1),(199,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(56,1),(57,1),(67,1),(80,1),(138,1),(148,1),(171,1)}
        31:{3,4,6}:{(13,1),(57,1),(59,1),(359,1),(370,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(60,1),(61,1),(66,1),(134,1),(437,1)}
        33:{2,3,6}:{(14,1),(57,1),(61,1),(370,1),(436,1)}
        34:{2,4,7}:{(15,1),(60,1),(64,1),(65,1),(434,1)}
        35:{1,3,4,6}:{(15,1),(16,1),(61,1),(65,1),(66,1),(70,1),(147,1),(153,1),(158,1),(231,1),(246,1),(249,1),(347,1),(349,1),(355,1)}
        36:{2,3,5}:{(16,1),(66,1),(67,1),(171,1),(273,1),(353,1)}
        37:{1,2,5,7}:{(17,1),(22,1),(60,1),(68,1),(69,1),(71,1),(437,1)}
        38:{1,3,7}:{(17,1),(26,1),(64,1),(70,1)}
        39:{1,2,4,6}:{(17,1),(27,1),(65,1),(69,1),(70,1),(71,1),(153,1),(158,1),(355,1),(357,1),(358,1)}
        40:{2,4,5,7}:{(18,1),(22,1),(72,1),(73,1),(80,1),(89,1),(163,1),(171,1),(174,1),(261,1),(263,1)}
        41:{1,4,6}:{(18,1),(19,1),(23,1),(73,1),(75,1)}
        42:{2,4,6,7}:{(19,1),(20,1),(24,1),(74,1),(76,1),(86,1)}
        43:{2,5,6}:{(19,1),(21,1),(75,1),(76,1),(242,1)}
        44:{3,5,7}:{(20,1),(21,1),(76,1),(79,1)}
        45:{4,5,6}:{(21,1),(79,1),(331,1),(418,1)}
        46:{2,3,5,7}:{(22,1),(26,1),(68,1),(72,1),(80,1),(81,1),(88,1),(171,1)}
        47:{2,6}:{(22,1),(23,1)}
        48:{1,3,6,7}:{(23,1),(24,1),(74,1),(82,1),(84,1),(161,1),(369,1)}
        49:{1,3,5,6}:{(23,1),(25,1),(28,1),(75,1),(83,1),(84,1),(85,1),(162,1),(175,1),(270,1),(277,1)}
        50:{2,3,5,7}:{(24,1),(25,1),(76,1),(84,1),(86,1),(169,1),(269,1),(276,1)}
        51:{2,4,6}:{(25,1),(29,1),(85,1),(86,1),(87,1)}
        52:{2,3,6}:{(26,1),(27,1),(70,1),(88,1),(175,1),(376,1)}
        53:{2,5}:{(27,1),(28,1)}
        54:{1,4,5}:{(28,1),(29,1),(85,1),(89,1),(158,1),(261,1)}
        55:{3,4,5}:{(29,1),(87,1),(249,1),(343,1),(549,1)}
        56:{1,4,5,7}:{(30,1),(32,1),(91,1),(92,1),(105,1),(107,1),(185,1),(196,1),(203,1)}
        57:{2,4,6}:{(30,1),(31,1),(33,1),(92,1),(94,1)}
        58:{3,4,6,7}:{(31,1),(93,1),(95,1),(190,1),(198,1),(291,1)}
        59:{3,5,6}:{(31,1),(94,1),(95,1),(96,1),(211,1)}
        60:{2,5,7}:{(32,1),(34,1),(98,1),(104,1)}
        61:{1,3,6}:{(32,1),(33,1),(92,1),(98,1),(182,1),(469,1)}
        62:{2,3,6,7}:{(33,1),(93,1),(99,1),(101,1),(291,1),(386,1)}
        63:{2,3,5,6}:{(33,1),(36,1),(94,1),(100,1),(101,1),(102,1),(189,1),(290,1),(297,1)}
        64:{2,3,7}:{(34,1),(38,1),(103,1),(296,1)}
        65:{2,4,6}:{(34,1),(35,1),(98,1),(103,1),(104,1),(199,1),(394,1),(395,1)}
        66:{1,3,5}:{(35,1),(36,1),(104,1),(105,1),(200,1),(203,1),(282,1),(398,1)}
        67:{2,4,5}:{(36,1),(102,1),(105,1),(106,1),(131,1)}
        68:{1,3,5,7}:{(37,1),(38,1),(46,1),(97,1),(107,1),(108,1),(111,1),(203,1)}
        69:{1,2,6}:{(37,1),(47,1),(98,1),(108,1),(469,1)}
        70:{1,3,6}:{(38,1),(39,1),(52,1),(103,1),(111,1),(402,1)}
        71:{1,2,5}:{(39,1),(53,1),(104,1),(111,1),(203,1),(398,1)}
        72:{3,5,7}:{(40,1),(113,1),(114,1),(132,1),(211,1),(225,1)}
        73:{2,4,6}:{(40,1),(41,1),(47,1),(114,1),(116,1),(213,1)}
        74:{1,4,6,7}:{(41,1),(42,1),(48,1),(115,1),(117,1),(128,1)}
        75:{1,5,6}:{(41,1),(43,1),(116,1),(117,1),(203,1)}
        76:{2,5,7}:{(42,1),(43,1),(44,1),(117,1)}
        77:{2,4,5,6}:{(43,1),(45,1),(51,1),(118,1),(120,1),(121,1),(219,1),(293,1),(388,1),(410,1),(519,1),(543,1)}
        78:{3,5,6,7}:{(44,1),(119,1),(122,1),(220,1),(377,1),(522,1)}
        79:{4,5,7}:{(44,1),(45,1),(122,1)}
        80:{2,4,7}:{(46,1),(107,1),(113,1),(123,1),(131,1)}
        81:{2,3,6}:{(46,1),(47,1),(108,1),(114,1),(123,1)}
        82:{2,6,7}:{(47,1),(48,1),(126,1)}
        83:{2,5,6}:{(47,1),(49,1),(53,1),(126,1),(127,1),(328,1)}
        84:{1,3,5,7}:{(48,1),(49,1),(50,1),(117,1),(126,1),(128,1),(212,1),(225,1),(321,1),(327,1)}
        85:{1,4,6}:{(49,1),(51,1),(54,1),(127,1),(128,1),(213,1)}
        86:{2,4,7}:{(50,1),(51,1),(128,1),(130,1)}
        87:{3,4,6}:{(51,1),(55,1),(121,1),(130,1),(543,1)}
        88:{2,3,5}:{(52,1),(53,1),(111,1),(131,1),(132,1)}
        89:{2,4,5}:{(53,1),(54,1),(127,1),(131,1),(132,1)}
        90:{1,3,4,5}:{(54,1),(55,1),(129,1),(132,1),(133,1),(208,1),(230,1),(304,1),(313,1),(406,1),(476,1)}
        91:{2,4,5,7}:{(56,1),(60,1),(134,1),(135,1),(142,1),(151,1),(234,1),(242,1),(245,1),(331,1),(333,1)}
        92:{1,4,6}:{(56,1),(57,1),(61,1),(135,1),(137,1)}
        93:{2,4,6,7}:{(57,1),(58,1),(62,1),(136,1),(138,1),(148,1)}
        94:{2,5,6}:{(57,1),(59,1),(137,1),(138,1),(171,1)}
        95:{3,5,7}:{(58,1),(59,1),(138,1),(141,1)}
        96:{4,5,6}:{(59,1),(141,1),(261,1),(359,1)}
        97:{2,3,5,7}:{(60,1),(64,1),(68,1),(134,1),(142,1),(143,1),(150,1),(242,1)}
        98:{2,6}:{(60,1),(61,1)}
        99:{1,3,6,7}:{(61,1),(62,1),(136,1),(144,1),(146,1),(232,1),(428,1)}
       100:{1,3,5,6}:{(61,1),(63,1),(66,1),(137,1),(145,1),(146,1),(147,1),(233,1),(246,1),(340,1),(347,1)}
       101:{2,3,5,7}:{(62,1),(63,1),(138,1),(146,1),(148,1),(240,1),(339,1),(346,1)}
       102:{2,4,6}:{(63,1),(67,1),(147,1),(148,1),(149,1)}
       103:{2,3,6}:{(64,1),(65,1),(70,1),(150,1),(246,1),(435,1)}
       104:{2,5}:{(65,1),(66,1)}
       105:{1,4,5}:{(66,1),(67,1),(147,1),(151,1),(158,1),(331,1)}
       106:{3,4,5}:{(67,1),(149,1),(178,1),(273,1),(552,1)}
       107:{1,4,7}:{(68,1),(80,1),(142,1),(153,1),(158,1)}
       108:{1,3,6}:{(68,1),(69,1),(81,1),(143,1),(153,1)}
       109:{1,2,6,7}:{(69,1),(82,1),(144,1),(154,1),(156,1),(369,1),(428,1),(436,1),(449,1),(491,1),(496,1)}
       110:{1,2,5,6}:{(69,1),(71,1),(83,1),(145,1),(155,1),(156,1),(157,1),(270,1),(340,1),(353,1),(357,1),(368,1),(427,1),(436,1),(438,1),(496,1)}
       111:{1,3,5}:{(70,1),(71,1),(88,1),(150,1),(158,1)}
       112:{1,2,4,5}:{(71,1),(89,1),(151,1),(157,1),(158,1),(159,1),(180,1),(251,1),(253,1),(258,1),(280,1),(350,1),(353,1),(358,1),(438,1),(444,1),(486,1),(498,1)}
       113:{3,4,7}:{(72,1),(80,1),(160,1),(178,1),(263,1)}
       114:{3,6}:{(72,1),(73,1)}
       115:{2,4,6,7}:{(73,1),(74,1),(82,1),(161,1),(163,1),(174,1),(263,1)}
       116:{2,5,6}:{(73,1),(75,1),(162,1),(163,1),(171,1)}
       117:{1,5,7}:{(74,1),(75,1),(76,1),(163,1)}
       118:{1,4,5,6}:{(75,1),(77,1),(85,1),(164,1),(166,1),(167,1),(253,1),(270,1),(351,1),(365,1),(499,1)}
       119:{2,5,6,7}:{(76,1),(78,1),(165,1),(168,1),(341,1),(503,1)}
       120:{2,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(166,1),(168,1),(169,1),(269,1),(447,1),(503,1),(535,1)}
       121:{3,5,6}:{(77,1),(87,1),(169,1),(343,1),(429,1),(448,1)}
       122:{4,6,7}:{(78,1),(79,1),(418,1),(535,1)}
       123:{2,4,6}:{(80,1),(81,1),(153,1),(160,1),(171,1)}
       124:{2,3,6,7}:{(81,1),(82,1),(154,1),(161,1),(170,1),(172,1),(370,1),(436,1),(491,1),(529,1),(530,1)}
       125:{2,3,5,6}:{(81,1),(83,1),(88,1),(155,1),(162,1),(171,1),(172,1),(173,1),(175,1),(257,1),(271,1),(273,1),(353,1),(370,1),(427,1),(436,1),(490,1),(494,1),(530,1),(545,1),(548,1)}
       126:{2,5,7}:{(82,1),(83,1),(84,1),(174,1),(375,1)}
       127:{2,4,6}:{(83,1),(85,1),(89,1),(174,1),(175,1)}
       128:{1,4,7}:{(84,1),(85,1),(86,1),(174,1),(263,1)}
       129:{1,3,4,6}:{(85,1),(87,1),(90,1),(167,1),(175,1),(176,1),(177,1),(264,1),(277,1),(365,1),(448,1)}
       130:{3,4,7}:{(86,1),(87,1),(169,1),(535,1)}
       131:{2,4}:{(88,1),(158,1),(178,1)}
       132:{3,5}:{(89,1),(175,1),(178,1)}
       133:{2,4,5}:{(90,1),(177,1),(179,1),(180,1),(258,1),(280,1),(353,1)}
       134:{3,5,7}:{(91,1),(181,1),(182,1),(200,1),(282,1),(296,1)}
       135:{2,4,6}:{(91,1),(92,1),(98,1),(182,1),(184,1),(284,1)}
       136:{1,4,6,7}:{(92,1),(93,1),(99,1),(183,1),(185,1),(196,1)}
       137:{1,5,6}:{(92,1),(94,1),(184,1),(185,1),(203,1)}
       138:{2,5,7}:{(93,1),(94,1),(95,1),(185,1)}
       139:{2,4,5,6}:{(94,1),(96,1),(102,1),(186,1),(188,1),(189,1),(222,1),(290,1),(322,1),(461,1),(537,1),(550,1)}
       140:{3,5,6,7}:{(95,1),(187,1),(190,1),(291,1),(311,1),(540,1)}
       141:{4,5,7}:{(95,1),(96,1),(190,1)}
       142:{2,4,7}:{(97,1),(107,1),(181,1),(191,1),(199,1)}
       143:{2,3,6}:{(97,1),(98,1),(108,1),(182,1),(191,1)}
       144:{2,6,7}:{(98,1),(99,1),(194,1)}
       145:{2,5,6}:{(98,1),(100,1),(104,1),(194,1),(195,1),(394,1)}
       146:{1,3,5,7}:{(99,1),(100,1),(101,1),(185,1),(194,1),(196,1),(283,1),(296,1),(387,1),(393,1)}
       147:{1,4,6}:{(100,1),(102,1),(105,1),(195,1),(196,1),(284,1)}
       148:{2,4,7}:{(101,1),(102,1),(196,1),(198,1)}
       149:{3,4,6}:{(102,1),(106,1),(189,1),(198,1),(550,1)}
       150:{2,3,5}:{(103,1),(104,1),(111,1),(199,1),(200,1)}
       151:{2,4,5}:{(104,1),(105,1),(195,1),(199,1),(200,1)}
       152:{1,3,4,5}:{(105,1),(106,1),(197,1),(200,1),(201,1),(208,1),(301,1),(304,1),(379,1),(457,1),(510,1)}
       153:{1,4,6}:{(107,1),(108,1),(123,1),(191,1),(203,1)}
       154:{1,3,6,7}:{(108,1),(109,1),(124,1),(192,1),(202,1),(204,1),(396,1),(469,1),(517,1)}
       155:{1,3,5,6}:{(108,1),(110,1),(111,1),(125,1),(193,1),(203,1),(204,1),(205,1),(207,1),(302,1),(304,1),(308,1),(396,1),(398,1),(469,1),(471,1),(517,1),(542,1)}
       156:{1,2,5,7}:{(109,1),(110,1),(126,1),(194,1),(204,1),(206,1),(321,1),(387,1),(397,1),(401,1),(412,1),(463,1)}
       157:{1,2,4,6}:{(110,1),(112,1),(127,1),(195,1),(205,1),(206,1),(207,1),(228,1),(299,1),(306,1),(328,1),(394,1),(410,1),(461,1)}
       158:{1,4}:{(111,1),(131,1),(199,1)}
       159:{1,3,5}:{(112,1),(132,1),(200,1),(207,1),(208,1),(209,1),(402,1),(476,1),(510,1)}
       160:{3,4,6}:{(113,1),(114,1),(123,1),(211,1),(213,1)}
       161:{3,6,7}:{(114,1),(115,1),(212,1),(225,1)}
       162:{3,5,6}:{(114,1),(116,1),(211,1),(212,1),(213,1)}
       163:{2,5,7}:{(115,1),(116,1),(117,1),(212,1)}
       164:{2,4,5,6}:{(116,1),(118,1),(127,1),(213,1),(215,1),(216,1),(219,1),(222,1),(316,1),(322,1),(403,1),(473,1)}
       165:{1,5,6,7}:{(117,1),(119,1),(214,1),(217,1),(302,1),(477,1)}
       166:{1,4,5,7}:{(117,1),(118,1),(120,1),(128,1),(215,1),(217,1),(218,1),(321,1),(409,1),(477,1)}
       167:{1,3,5,6}:{(118,1),(121,1),(129,1),(216,1),(218,1),(219,1),(304,1),(396,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(122,1),(217,1),(220,1),(320,1),(388,1)}
       169:{3,5,7}:{(120,1),(121,1),(130,1),(220,1),(479,1)}
       170:{2,4,6,7}:{(123,1),(124,1),(202,1),(210,1),(221,1),(223,1),(322,1),(541,1)}
       171:{2,5}:{(123,1),(203,1),(211,1)}
       172:{2,3,5,7}:{(124,1),(125,1),(126,1),(204,1),(212,1),(221,1),(223,1),(225,1),(307,1),(323,1),(397,1),(463,1),(513,1),(540,1)}
       173:{2,4,6}:{(125,1),(131,1),(205,1),(213,1),(222,1),(223,1),(224,1),(516,1),(550,1)}
       174:{2,4,7}:{(126,1),(127,1),(128,1),(225,1)}
       175:{3,6}:{(127,1),(132,1),(225,1)}
       176:{1,3,4,7}:{(128,1),(129,1),(130,1),(218,1),(225,1),(227,1),(315,1),(327,1),(409,1),(479,1)}
       177:{2,4,6}:{(129,1),(133,1),(219,1),(226,1),(227,1),(228,1),(328,1)}
       178:{3,4}:{(131,1),(132,1)}
       179:{2,3,5}:{(132,1),(133,1),(226,1),(229,1),(230,1),(476,1)}
       180:{1,4,5}:{(133,1),(228,1),(230,1),(309,1),(398,1)}
       181:{3,4,7}:{(134,1),(142,1),(231,1),(249,1),(333,1)}
       182:{3,6}:{(134,1),(135,1)}
       183:{2,4,6,7}:{(135,1),(136,1),(144,1),(232,1),(234,1),(245,1),(333,1)}
       184:{2,5,6}:{(135,1),(137,1),(233,1),(234,1),(242,1)}
       185:{1,5,7}:{(136,1),(137,1),(138,1),(234,1)}
       186:{1,4,5,6}:{(137,1),(139,1),(147,1),(235,1),(237,1),(238,1),(253,1),(340,1),(351,1),(424,1),(524,1)}
       187:{2,5,6,7}:{(138,1),(140,1),(236,1),(239,1),(271,1),(528,1)}
       188:{2,4,5,7}:{(138,1),(139,1),(141,1),(148,1),(237,1),(239,1),(240,1),(339,1),(489,1),(528,1),(547,1)}
       189:{3,5,6}:{(139,1),(149,1),(240,1),(273,1),(370,1),(490,1)}
       190:{4,6,7}:{(140,1),(141,1),(359,1),(547,1)}
       191:{2,4,6}:{(142,1),(143,1),(153,1),(231,1),(242,1)}
       192:{2,3,6,7}:{(143,1),(144,1),(154,1),(232,1),(241,1),(243,1),(429,1),(436,1),(449,1),(504,1),(505,1)}
       193:{2,3,5,6}:{(143,1),(145,1),(150,1),(155,1),(233,1),(242,1),(243,1),(244,1),(246,1),(257,1),(341,1),(343,1),(353,1),(368,1),(429,1),(436,1),(448,1),(452,1),(505,1),(533,1),(536,1)}
       194:{2,5,7}:{(144,1),(145,1),(146,1),(245,1),(434,1)}
       195:{2,4,6}:{(145,1),(147,1),(151,1),(245,1),(246,1)}
       196:{1,4,7}:{(146,1),(147,1),(148,1),(245,1),(333,1)}
       197:{1,3,4,6}:{(147,1),(149,1),(152,1),(238,1),(246,1),(247,1),(248,1),(334,1),(347,1),(424,1),(490,1)}
       198:{3,4,7}:{(148,1),(149,1),(240,1),(547,1)}
       199:{2,4}:{(150,1),(158,1),(249,1)}
       200:{3,5}:{(151,1),(246,1),(249,1)}
       201:{2,4,5}:{(152,1),(248,1),(250,1),(251,1),(258,1),(350,1),(353,1)}
       202:{1,4,6,7}:{(153,1),(154,1),(170,1),(241,1),(252,1),(254,1),(351,1),(532,1)}
       203:{1,5}:{(153,1),(171,1),(242,1)}
       204:{1,3,5,7}:{(154,1),(155,1),(156,1),(172,1),(243,1),(252,1),(254,1),(256,1),(356,1),(437,1)}
       205:{1,4,6}:{(155,1),(158,1),(173,1),(244,1),(253,1),(254,1),(498,1)}
       206:{1,2,4,7}:{(156,1),(157,1),(174,1),(245,1),(254,1),(256,1),(278,1),(348,1),(354,1),(375,1),(434,1),(447,1),(489,1)}
       207:{1,3,6}:{(157,1),(159,1),(175,1),(246,1),(256,1),(257,1),(448,1),(490,1)}
       208:{1,3,4}:{(158,1),(159,1),(178,1),(249,1),(258,1),(498,1),(502,1),(527,1)}
       209:{2,3,5}:{(159,1),(257,1),(258,1),(259,1),(280,1),(350,1),(353,1),(376,1),(435,1)}
       210:{3,4,6,7}:{(160,1),(161,1),(170,1),(260,1),(263,1),(274,1),(359,1),(370,1),(529,1),(546,1),(547,1)}
       211:{3,5}:{(160,1),(171,1),(261,1)}
       212:{3,5,7}:{(161,1),(162,1),(163,1),(263,1)}
       213:{4,6}:{(162,1),(261,1),(263,1)}
       214:{2,5,6,7}:{(163,1),(165,1),(262,1),(265,1),(271,1),(445,1)}
       215:{2,4,5,7}:{(163,1),(164,1),(166,1),(174,1),(263,1),(265,1),(266,1),(269,1),(362,1),(364,1),(445,1)}
       216:{3,5,6}:{(164,1),(175,1),(264,1),(266,1),(273,1),(370,1)}
       217:{1,4,6,7}:{(165,1),(166,1),(168,1),(265,1),(268,1),(351,1),(369,1)}
       218:{1,3,5,7}:{(166,1),(167,1),(169,1),(176,1),(266,1),(268,1),(269,1)}
       219:{2,5,6}:{(167,1),(177,1),(269,1),(270,1),(353,1),(436,1)}
       220:{3,6,7}:{(168,1),(169,1),(429,1)}
       221:{2,5,7}:{(170,1),(171,1),(252,1),(260,1),(271,1),(548,1)}
       222:{2,4,5}:{(171,1),(173,1),(253,1),(261,1),(273,1),(353,1),(548,1),(552,1)}
       223:{2,4,7}:{(172,1),(173,1),(254,1),(263,1),(274,1),(547,1)}
       224:{3,4,6}:{(173,1),(175,1),(178,1),(273,1),(274,1),(370,1),(490,1),(527,1)}
       225:{3,7}:{(174,1),(175,1)}
       226:{2,3,6}:{(175,1),(177,1),(179,1),(276,1),(277,1),(448,1)}
       227:{2,4,7}:{(176,1),(177,1),(269,1),(276,1),(278,1),(375,1)}
       228:{1,4,6}:{(177,1),(180,1),(270,1),(277,1),(278,1)}
       229:{2,3,4}:{(178,1),(179,1),(258,1),(279,1),(435,1),(502,1)}
       230:{1,3,5}:{(179,1),(180,1),(277,1),(279,1),(280,1)}
       231:{3,4,6}:{(181,1),(182,1),(191,1),(282,1),(284,1)}
       232:{3,6,7}:{(182,1),(183,1),(283,1),(296,1)}
       233:{3,5,6}:{(182,1),(184,1),(282,1),(283,1),(284,1)}
       234:{2,5,7}:{(183,1),(184,1),(185,1),(283,1)}
       235:{2,4,5,6}:{(184,1),(186,1),(195,1),(284,1),(286,1),(287,1),(290,1),(293,1),(382,1),(388,1),(454,1),(507,1)}
       236:{1,5,6,7}:{(185,1),(187,1),(285,1),(288,1),(302,1),(511,1)}
       237:{1,4,5,7}:{(185,1),(186,1),(188,1),(196,1),(286,1),(288,1),(289,1),(387,1),(460,1),(511,1)}
       238:{1,3,5,6}:{(186,1),(189,1),(197,1),(287,1),(289,1),(290,1),(304,1),(396,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(190,1),(288,1),(291,1),(322,1),(386,1)}
       240:{3,5,7}:{(188,1),(189,1),(198,1),(291,1),(513,1)}
       241:{2,4,6,7}:{(191,1),(192,1),(202,1),(281,1),(292,1),(294,1),(388,1),(523,1)}
       242:{2,5}:{(191,1),(203,1),(282,1)}
       243:{2,3,5,7}:{(192,1),(193,1),(194,1),(204,1),(283,1),(292,1),(294,1),(296,1),(307,1),(389,1),(397,1),(412,1),(479,1),(522,1)}
       244:{2,4,6}:{(193,1),(199,1),(205,1),(284,1),(293,1),(294,1),(295,1),(482,1),(543,1)}
       245:{2,4,7}:{(194,1),(195,1),(196,1),(296,1)}
       246:{3,6}:{(195,1),(200,1),(296,1)}
       247:{1,3,4,7}:{(196,1),(197,1),(198,1),(289,1),(296,1),(298,1),(381,1),(393,1),(460,1),(513,1)}
       248:{2,4,6}:{(197,1),(201,1),(290,1),(297,1),(298,1),(299,1),(394,1)}
       249:{3,4}:{(199,1),(200,1)}
       250:{2,3,5}:{(200,1),(201,1),(297,1),(300,1),(301,1),(510,1)}
       251:{1,4,5}:{(201,1),(299,1),(301,1),(309,1),(398,1)}
       252:{1,5,7}:{(202,1),(203,1),(221,1),(292,1),(302,1),(542,1)}
       253:{1,4,5}:{(203,1),(205,1),(222,1),(293,1),(304,1),(398,1),(542,1)}
       254:{1,4,7}:{(204,1),(205,1),(223,1),(294,1)}
       255:{1,3,4,6}:{(205,1),(207,1),(208,1),(224,1),(295,1),(304,1),(305,1),(306,1),(396,1)}
       256:{1,3,7}:{(206,1),(207,1),(225,1),(296,1),(307,1),(479,1),(513,1)}
       257:{2,3,6}:{(207,1),(209,1),(306,1),(307,1),(308,1),(328,1),(394,1)}
       258:{2,4}:{(208,1),(209,1),(309,1)}
       259:{1,3,5}:{(209,1),(308,1),(309,1),(310,1),(398,1),(402,1)}
       260:{3,5,7}:{(210,1),(211,1),(221,1),(311,1),(312,1),(551,1)}
       261:{4,5}:{(211,1),(213,1)}
       262:{3,5,6,7}:{(212,1),(214,1),(311,1),(314,1),(317,1),(407,1)}
       263:{4,7}:{(212,1),(213,1)}
       264:{3,4,6}:{(213,1),(216,1),(313,1),(315,1),(316,1)}
       265:{2,4,6,7}:{(214,1),(215,1),(217,1),(314,1),(317,1),(320,1),(322,1)}
       266:{3,5,7}:{(215,1),(216,1),(225,1),(315,1),(317,1)}
       267:{2,3,5,6}:{(216,1),(219,1),(226,1),(316,1),(318,1),(319,1),(324,1),(413,1),(473,1)}
       268:{1,3,6,7}:{(217,1),(218,1),(220,1),(317,1),(320,1),(396,1)}
       269:{2,5,7}:{(218,1),(219,1),(227,1),(320,1),(321,1)}
       270:{1,5,6}:{(219,1),(228,1),(321,1),(398,1),(469,1)}
       271:{2,5,6}:{(221,1),(302,1),(311,1),(322,1)}
       272:{2,4,5,7}:{(221,1),(222,1),(223,1),(303,1),(312,1),(322,1),(323,1),(397,1)}
       273:{3,5}:{(222,1),(224,1)}
       274:{3,4,7}:{(223,1),(224,1),(225,1),(323,1),(513,1)}
       275:{2,3,4,6}:{(224,1),(226,1),(229,1),(306,1),(316,1),(324,1),(325,1),(326,1),(413,1),(468,1),(516,1),(541,1)}
       276:{2,3,7}:{(225,1),(226,1),(227,1),(327,1),(479,1)}
       277:{1,3,6}:{(226,1),(228,1),(230,1),(327,1),(328,1)}
       278:{1,4,7}:{(227,1),(228,1),(321,1),(327,1)}
       279:{1,3,4}:{(229,1),(230,1),(309,1),(329,1),(402,1)}
       280:{2,5}:{(230,1),(328,1),(329,1)}
       281:{3,4,6,7}:{(231,1),(232,1),(241,1),(330,1),(333,1),(344,1),(418,1),(429,1),(504,1),(534,1),(535,1)}
       282:{3,5}:{(231,1),(242,1),(331,1)}
       283:{3,5,7}:{(232,1),(233,1),(234,1),(333,1)}
       284:{4,6}:{(233,1),(331,1),(333,1)}
       285:{2,5,6,7}:{(234,1),(236,1),(332,1),(335,1),(341,1),(487,1)}
       286:{2,4,5,7}:{(234,1),(235,1),(237,1),(245,1),(333,1),(335,1),(336,1),(339,1),(421,1),(423,1),(487,1)}
       287:{3,5,6}:{(235,1),(246,1),(334,1),(336,1),(343,1),(429,1)}
       288:{1,4,6,7}:{(236,1),(237,1),(239,1),(335,1),(338,1),(351,1),(428,1)}
       289:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(336,1),(338,1),(339,1)}
       290:{2,5,6}:{(238,1),(248,1),(339,1),(340,1),(353,1),(436,1)}
       291:{3,6,7}:{(239,1),(240,1),(370,1)}
       292:{2,5,7}:{(241,1),(242,1),(252,1),(330,1),(341,1),(536,1)}
       293:{2,4,5}:{(242,1),(244,1),(253,1),(331,1),(343,1),(353,1),(536,1),(549,1)}
       294:{2,4,7}:{(243,1),(244,1),(254,1),(333,1),(344,1),(535,1)}
       295:{3,4,6}:{(244,1),(246,1),(249,1),(343,1),(344,1),(429,1),(448,1),(502,1)}
       296:{3,7}:{(245,1),(246,1)}
       297:{2,3,6}:{(246,1),(248,1),(250,1),(346,1),(347,1),(490,1)}
       298:{2,4,7}:{(247,1),(248,1),(339,1),(346,1),(348,1),(434,1)}
       299:{1,4,6}:{(248,1),(251,1),(340,1),(347,1),(348,1)}
       300:{2,3,4}:{(249,1),(250,1),(258,1),(349,1),(376,1),(527,1)}
       301:{1,3,5}:{(250,1),(251,1),(347,1),(349,1),(350,1)}
       302:{1,5,6}:{(252,1),(271,1),(341,1),(351,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(254,1),(272,1),(342,1),(351,1),(352,1),(437,1)}
       304:{1,3,5}:{(253,1),(255,1),(273,1),(343,1),(353,1)}
       305:{1,3,4,7}:{(254,1),(255,1),(256,1),(274,1),(344,1),(352,1),(354,1)}
       306:{2,4,6}:{(255,1),(257,1),(258,1),(353,1),(354,1),(355,1),(436,1)}
       307:{2,3,7}:{(256,1),(257,1),(354,1),(356,1),(375,1),(434,1)}
       308:{1,3,6}:{(257,1),(259,1),(355,1),(356,1),(357,1)}
       309:{1,4}:{(258,1),(259,1)}
       310:{1,2,5}:{(259,1),(280,1),(350,1),(357,1),(358,1)}
       311:{3,5,6}:{(260,1),(271,1),(359,1),(370,1)}
       312:{4,5,7}:{(260,1),(261,1),(263,1),(359,1),(547,1),(552,1)}
       313:{3,4,5}:{(261,1),(264,1),(273,1),(361,1),(527,1)}
       314:{4,6,7}:{(262,1),(263,1),(359,1),(362,1)}
       315:{3,4,7}:{(263,1),(264,1),(266,1),(364,1)}
       316:{2,4,6}:{(264,1),(267,1),(361,1),(364,1),(365,1)}
       317:{3,6,7}:{(265,1),(266,1),(370,1)}
       318:{2,3,5,7}:{(266,1),(267,1),(269,1),(276,1),(364,1),(366,1),(367,1),(445,1)}
       319:{1,3,5,6}:{(267,1),(270,1),(277,1),(365,1),(367,1),(368,1),(372,1),(448,1),(450,1),(499,1),(533,1)}
       320:{2,6,7}:{(268,1),(269,1),(369,1),(436,1)}
       321:{1,5,7}:{(269,1),(270,1),(278,1),(369,1)}
       322:{2,4,6}:{(271,1),(272,1),(351,1),(359,1),(370,1),(436,1)}
       323:{3,5,7}:{(272,1),(273,1),(274,1),(370,1)}
       324:{2,3,5}:{(273,1),(275,1),(353,1),(361,1),(372,1),(548,1)}
       325:{2,3,4,7}:{(274,1),(275,1),(276,1),(354,1),(364,1),(371,1),(373,1),(495,1),(531,1)}
       326:{1,3,4,6}:{(275,1),(277,1),(279,1),(355,1),(365,1),(372,1),(373,1),(374,1),(440,1),(448,1),(450,1),(498,1),(502,1),(532,1),(534,1)}
       327:{1,3,7}:{(276,1),(277,1),(278,1),(375,1)}
       328:{2,6}:{(277,1),(280,1),(375,1)}
       329:{2,4}:{(279,1),(280,1),(376,1)}
       330:{3,5,7}:{(281,1),(282,1),(292,1),(377,1),(378,1),(544,1)}
       331:{4,5}:{(282,1),(284,1)}
       332:{3,5,6,7}:{(283,1),(285,1),(377,1),(380,1),(383,1),(458,1)}
       333:{4,7}:{(283,1),(284,1)}
       334:{3,4,6}:{(284,1),(287,1),(379,1),(381,1),(382,1)}
       335:{2,4,6,7}:{(285,1),(286,1),(288,1),(380,1),(383,1),(386,1),(388,1)}
       336:{3,5,7}:{(286,1),(287,1),(296,1),(381,1),(383,1)}
       337:{2,3,5,6}:{(287,1),(290,1),(297,1),(382,1),(384,1),(385,1),(390,1),(464,1),(507,1)}
       338:{1,3,6,7}:{(288,1),(289,1),(291,1),(383,1),(386,1),(396,1)}
       339:{2,5,7}:{(289,1),(290,1),(298,1),(386,1),(387,1)}
       340:{1,5,6}:{(290,1),(299,1),(387,1),(398,1),(469,1)}
       341:{2,5,6}:{(292,1),(302,1),(377,1),(388,1)}
       342:{2,4,5,7}:{(292,1),(293,1),(294,1),(303,1),(378,1),(388,1),(389,1),(397,1)}
       343:{3,5}:{(293,1),(295,1)}
       344:{3,4,7}:{(294,1),(295,1),(296,1),(389,1),(479,1)}
       345:{2,3,4,6}:{(295,1),(297,1),(300,1),(306,1),(382,1),(390,1),(391,1),(392,1),(417,1),(464,1),(482,1),(523,1)}
       346:{2,3,7}:{(296,1),(297,1),(298,1),(393,1),(513,1)}
       347:{1,3,6}:{(297,1),(299,1),(301,1),(393,1),(394,1)}
       348:{1,4,7}:{(298,1),(299,1),(387,1),(393,1)}
       349:{1,3,4}:{(300,1),(301,1),(309,1),(395,1),(402,1)}
       350:{2,5}:{(301,1),(394,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(322,1),(388,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(305,1),(323,1),(389,1),(396,1),(397,1)}
       353:{2,5}:{(304,1),(306,1),(398,1)}
       354:{2,4,7}:{(305,1),(306,1),(307,1),(397,1),(399,1)}
       355:{1,4,6}:{(306,1),(308,1),(309,1),(398,1),(399,1),(469,1)}
       356:{1,3,7}:{(307,1),(308,1),(399,1),(401,1)}
       357:{1,2,6}:{(308,1),(310,1),(328,1),(394,1),(401,1)}
       358:{1,2,4}:{(309,1),(310,1),(329,1),(395,1),(402,1)}
       359:{4,6}:{(311,1),(312,1)}
       360:{3,4,5,7}:{(312,1),(313,1),(315,1),(323,1),(404,1),(405,1),(407,1),(539,1),(551,1)}
       361:{2,4,5}:{(313,1),(316,1),(324,1),(406,1),(516,1)}
       362:{4,5,7}:{(314,1),(403,1),(407,1)}
       363:{3,4,6,7}:{(314,1),(315,1),(317,1),(404,1),(407,1),(408,1)}
       364:{2,4,7}:{(315,1),(316,1),(318,1),(409,1)}
       365:{1,4,6}:{(316,1),(319,1),(406,1),(409,1),(410,1),(543,1)}
       366:{2,3,6,7}:{(317,1),(318,1),(320,1),(408,1),(411,1),(413,1)}
       367:{1,3,5,7}:{(318,1),(319,1),(321,1),(327,1),(409,1),(411,1),(412,1),(477,1),(479,1),(522,1)}
       368:{2,5,6}:{(319,1),(328,1),(410,1),(412,1),(415,1),(480,1)}
       369:{1,6,7}:{(320,1),(321,1),(469,1)}
       370:{3,6}:{(322,1),(323,1)}
       371:{2,3,5,7}:{(323,1),(324,1),(325,1),(397,1),(405,1),(413,1),(414,1)}
       372:{1,3,5}:{(324,1),(326,1),(398,1),(406,1),(415,1),(476,1),(542,1),(544,1)}
       373:{1,3,4,7}:{(325,1),(326,1),(327,1),(399,1),(409,1),(414,1),(416,1),(472,1),(479,1),(518,1),(521,1)}
       374:{2,4,6}:{(326,1),(328,1),(329,1),(415,1),(416,1),(417,1),(480,1),(482,1)}
       375:{2,7}:{(327,1),(328,1)}
       376:{2,3}:{(329,1),(402,1)}
       377:{3,5,6}:{(330,1),(341,1),(418,1),(429,1)}
       378:{4,5,7}:{(330,1),(331,1),(333,1),(418,1),(535,1),(549,1)}
       379:{3,4,5}:{(331,1),(334,1),(343,1),(420,1),(502,1)}
       380:{4,6,7}:{(332,1),(333,1),(418,1),(421,1)}
       381:{3,4,7}:{(333,1),(334,1),(336,1),(423,1)}
       382:{2,4,6}:{(334,1),(337,1),(420,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(336,1),(429,1)}
       384:{2,3,5,7}:{(336,1),(337,1),(339,1),(346,1),(423,1),(425,1),(426,1),(487,1)}
       385:{1,3,5,6}:{(337,1),(340,1),(347,1),(424,1),(426,1),(427,1),(431,1),(490,1),(492,1),(524,1),(545,1)}
       386:{2,6,7}:{(338,1),(339,1),(428,1),(436,1)}
       387:{1,5,7}:{(339,1),(340,1),(348,1),(428,1)}
       388:{2,4,6}:{(341,1),(342,1),(351,1),(418,1),(429,1),(436,1)}
       389:{3,5,7}:{(342,1),(343,1),(344,1),(429,1)}
       390:{2,3,5}:{(343,1),(345,1),(353,1),(420,1),(431,1),(536,1)}
       391:{2,3,4,7}:{(344,1),(345,1),(346,1),(354,1),(423,1),(430,1),(432,1),(453,1),(506,1)}
       392:{1,3,4,6}:{(345,1),(347,1),(349,1),(355,1),(424,1),(431,1),(432,1),(433,1),(440,1),(490,1),(492,1),(498,1),(527,1),(532,1),(546,1)}
       393:{1,3,7}:{(346,1),(347,1),(348,1),(434,1)}
       394:{2,6}:{(347,1),(350,1),(434,1)}
       395:{2,4}:{(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(370,1),(429,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(354,1),(436,1),(437,1)}
       398:{1,5}:{(353,1),(355,1)}
       399:{1,4,7}:{(354,1),(355,1),(356,1),(437,1)}
       400:{1,2,4,6}:{(355,1),(357,1),(358,1),(374,1),(433,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       401:{1,2,7}:{(356,1),(357,1),(375,1),(434,1)}
       402:{1,3}:{(358,1),(376,1),(435,1)}
       403:{4,5,6}:{(359,1),(362,1),(441,1),(552,1)}
       404:{3,4,6}:{(359,1),(360,1),(370,1),(441,1),(442,1)}
       405:{2,4,5,7}:{(360,1),(361,1),(364,1),(371,1),(442,1),(443,1),(445,1),(531,1),(548,1)}
       406:{1,4,5}:{(361,1),(365,1),(372,1),(444,1),(498,1),(549,1)}
       407:{3,5,7}:{(362,1),(363,1),(441,1),(445,1)}
       408:{2,4,6,7}:{(363,1),(364,1),(366,1),(442,1),(445,1),(446,1)}
       409:{1,4,7}:{(364,1),(365,1),(367,1),(447,1),(535,1)}
       410:{2,4,6}:{(365,1),(368,1),(444,1),(447,1),(448,1)}
       411:{1,3,6,7}:{(366,1),(367,1),(369,1),(446,1),(449,1),(450,1),(504,1)}
       412:{2,5,7}:{(367,1),(368,1),(375,1),(447,1),(449,1)}
       413:{2,3,6}:{(370,1),(371,1),(436,1),(442,1),(450,1)}
       414:{1,3,5,7}:{(371,1),(372,1),(373,1),(437,1),(443,1),(450,1),(451,1),(501,1)}
       415:{2,5}:{(372,1),(374,1)}
       416:{2,4,7}:{(373,1),(374,1),(375,1),(451,1),(453,1)}
       417:{2,3,6}:{(374,1),(376,1),(440,1),(448,1),(452,1),(453,1)}
       418:{4,6}:{(377,1),(378,1)}
       419:{3,4,5,7}:{(378,1),(379,1),(381,1),(389,1),(455,1),(456,1),(458,1),(521,1),(544,1)}
       420:{2,4,5}:{(379,1),(382,1),(390,1),(457,1),(482,1)}
       421:{4,5,7}:{(380,1),(454,1),(458,1)}
       422:{3,4,6,7}:{(380,1),(381,1),(383,1),(455,1),(458,1),(459,1)}
       423:{2,4,7}:{(381,1),(382,1),(384,1),(460,1)}
       424:{1,4,6}:{(382,1),(385,1),(457,1),(460,1),(461,1),(550,1)}
       425:{2,3,6,7}:{(383,1),(384,1),(386,1),(459,1),(462,1),(464,1)}
       426:{1,3,5,7}:{(384,1),(385,1),(387,1),(393,1),(460,1),(462,1),(463,1),(511,1),(513,1),(540,1)}
       427:{2,5,6}:{(385,1),(394,1),(461,1),(463,1),(466,1),(514,1)}
       428:{1,6,7}:{(386,1),(387,1),(469,1)}
       429:{3,6}:{(388,1),(389,1)}
       430:{2,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(456,1),(464,1),(465,1)}
       431:{1,3,5}:{(390,1),(392,1),(398,1),(457,1),(466,1),(510,1),(542,1),(551,1)}
       432:{1,3,4,7}:{(391,1),(392,1),(393,1),(399,1),(460,1),(465,1),(467,1),(472,1),(513,1),(518,1),(539,1)}
       433:{2,4,6}:{(392,1),(394,1),(395,1),(466,1),(467,1),(468,1),(514,1),(516,1)}
       434:{2,7}:{(393,1),(394,1)}
       435:{2,3}:{(395,1),(402,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(399,1),(469,1)}
       438:{1,2,5}:{(398,1),(400,1),(415,1),(466,1),(471,1),(542,1)}
       439:{1,2,4,7}:{(399,1),(400,1),(401,1),(416,1),(467,1),(470,1),(472,1),(518,1)}
       440:{1,3,6}:{(400,1),(402,1),(417,1),(468,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(407,1),(473,1),(551,1)}
       442:{2,4,6}:{(404,1),(405,1),(413,1),(473,1),(474,1)}
       443:{1,4,5,7}:{(405,1),(406,1),(409,1),(414,1),(474,1),(475,1),(477,1),(518,1),(542,1)}
       444:{2,4,5}:{(406,1),(410,1),(415,1),(476,1),(482,1)}
       445:{2,5,7}:{(407,1),(408,1),(473,1),(477,1)}
       446:{1,4,6,7}:{(408,1),(409,1),(411,1),(474,1),(477,1),(478,1)}
       447:{2,4,7}:{(409,1),(410,1),(412,1),(479,1)}
       448:{3,6}:{(410,1),(476,1),(479,1)}
       449:{2,6,7}:{(411,1),(412,1),(480,1)}
       450:{1,3,6}:{(413,1),(414,1),(469,1),(474,1),(480,1),(520,1)}
       451:{2,5,7}:{(414,1),(415,1),(416,1),(480,1)}
       452:{2,3,5}:{(415,1),(417,1),(471,1),(476,1),(482,1)}
       453:{2,3,7}:{(416,1),(417,1),(472,1),(479,1)}
       454:{4,5,6}:{(418,1),(421,1),(483,1),(549,1)}
       455:{3,4,6}:{(418,1),(419,1),(429,1),(483,1),(484,1)}
       456:{2,4,5,7}:{(419,1),(420,1),(423,1),(430,1),(484,1),(485,1),(487,1),(506,1),(536,1)}
       457:{1,4,5}:{(420,1),(424,1),(431,1),(486,1),(498,1),(552,1)}
       458:{3,5,7}:{(421,1),(422,1),(483,1),(487,1)}
       459:{2,4,6,7}:{(422,1),(423,1),(425,1),(484,1),(487,1),(488,1)}
       460:{1,4,7}:{(423,1),(424,1),(426,1),(489,1),(547,1)}
       461:{2,4,6}:{(424,1),(427,1),(486,1),(489,1),(490,1)}
       462:{1,3,6,7}:{(425,1),(426,1),(428,1),(488,1),(491,1),(492,1),(529,1)}
       463:{2,5,7}:{(426,1),(427,1),(434,1),(489,1),(491,1)}
       464:{2,3,6}:{(429,1),(430,1),(436,1),(484,1),(492,1)}
       465:{1,3,5,7}:{(430,1),(431,1),(432,1),(437,1),(485,1),(492,1),(493,1),(526,1)}
       466:{2,5}:{(431,1),(433,1)}
       467:{2,4,7}:{(432,1),(433,1),(434,1),(493,1),(495,1)}
       468:{2,3,6}:{(433,1),(435,1),(440,1),(490,1),(494,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(451,1),(493,1),(496,1),(497,1)}
       471:{1,3,5}:{(438,1),(440,1),(452,1),(494,1),(498,1)}
       472:{1,3,7}:{(439,1),(440,1),(453,1),(495,1)}
       473:{2,5,6}:{(441,1),(442,1),(445,1),(499,1),(548,1)}
       474:{1,4,6}:{(442,1),(443,1),(450,1),(499,1),(500,1)}
       475:{2,4,5,7}:{(443,1),(444,1),(447,1),(451,1),(500,1),(501,1),(503,1),(506,1),(535,1),(536,1),(549,1)}
       476:{3,5}:{(444,1),(448,1),(502,1)}
       477:{1,5,7}:{(445,1),(446,1),(499,1),(503,1)}
       478:{2,4,6,7}:{(446,1),(447,1),(449,1),(500,1),(503,1),(504,1),(535,1)}
       479:{3,7}:{(447,1),(448,1)}
       480:{2,6}:{(450,1),(451,1)}
       481:{2,3,5,7}:{(451,1),(452,1),(453,1),(497,1),(501,1),(505,1),(506,1),(536,1)}
       482:{2,4}:{(452,1),(498,1),(502,1)}
       483:{3,5,6}:{(454,1),(455,1),(458,1),(507,1),(544,1)}
       484:{2,4,6}:{(455,1),(456,1),(464,1),(507,1),(508,1)}
       485:{1,4,5,7}:{(456,1),(457,1),(460,1),(465,1),(508,1),(509,1),(511,1),(518,1),(542,1)}
       486:{2,4,5}:{(457,1),(461,1),(466,1),(510,1),(516,1)}
       487:{2,5,7}:{(458,1),(459,1),(507,1),(511,1)}
       488:{1,4,6,7}:{(459,1),(460,1),(462,1),(508,1),(511,1),(512,1)}
       489:{2,4,7}:{(460,1),(461,1),(463,1),(513,1)}
       490:{3,6}:{(461,1),(510,1),(513,1)}
       491:{2,6,7}:{(462,1),(463,1),(514,1)}
       492:{1,3,6}:{(464,1),(465,1),(469,1),(508,1),(514,1),(538,1)}
       493:{2,5,7}:{(465,1),(466,1),(467,1),(514,1)}
       494:{2,3,5}:{(466,1),(468,1),(471,1),(510,1),(516,1)}
       495:{2,3,7}:{(467,1),(468,1),(472,1),(513,1)}
       496:{1,2,6}:{(469,1),(470,1),(480,1),(514,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(481,1),(515,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(471,1),(482,1),(516,1)}
       499:{1,5,6}:{(473,1),(474,1),(477,1),(519,1),(542,1)}
       500:{2,4,6}:{(474,1),(475,1),(480,1),(519,1),(520,1),(543,1)}
       501:{3,5,7}:{(475,1),(476,1),(479,1),(520,1),(521,1),(544,1)}
       502:{3,4}:{(476,1),(482,1)}
       503:{2,5,7}:{(477,1),(478,1),(519,1),(522,1)}
       504:{3,6,7}:{(478,1),(479,1),(520,1),(522,1)}
       505:{2,3,6}:{(480,1),(481,1),(517,1),(520,1),(523,1)}
       506:{2,4,7}:{(481,1),(482,1),(518,1),(521,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(487,1),(524,1),(536,1)}
       508:{1,4,6}:{(484,1),(485,1),(492,1),(524,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(486,1),(489,1),(493,1),(525,1),(526,1),(528,1),(531,1),(547,1),(548,1),(552,1)}
       510:{3,5}:{(486,1),(490,1),(527,1)}
       511:{1,5,7}:{(487,1),(488,1),(524,1),(528,1)}
       512:{2,4,6,7}:{(488,1),(489,1),(491,1),(525,1),(528,1),(529,1),(547,1)}
       513:{3,7}:{(489,1),(490,1)}
       514:{2,6}:{(492,1),(493,1)}
       515:{2,3,5,7}:{(493,1),(494,1),(495,1),(497,1),(526,1),(530,1),(531,1),(548,1)}
       516:{2,4}:{(494,1),(498,1),(527,1)}
       517:{1,3,6}:{(496,1),(497,1),(505,1),(530,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(506,1),(531,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(503,1),(533,1),(536,1)}
       520:{3,6}:{(500,1),(501,1)}
       521:{3,4,7}:{(501,1),(502,1),(506,1),(534,1),(535,1)}
       522:{3,5,7}:{(503,1),(504,1),(533,1),(535,1)}
       523:{2,4,6}:{(505,1),(506,1),(532,1),(534,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(511,1),(537,1),(542,1)}
       525:{2,4,6}:{(508,1),(509,1),(514,1),(537,1),(538,1),(550,1)}
       526:{3,5,7}:{(509,1),(510,1),(513,1),(538,1),(539,1),(551,1)}
       527:{3,4}:{(510,1),(516,1)}
       528:{2,5,7}:{(511,1),(512,1),(537,1),(540,1)}
       529:{3,6,7}:{(512,1),(513,1),(538,1),(540,1)}
       530:{2,3,6}:{(514,1),(515,1),(517,1),(538,1),(541,1)}
       531:{2,4,7}:{(515,1),(516,1),(518,1),(539,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(522,1),(543,1),(544,1)}
       534:{3,4,6}:{(520,1),(521,1),(523,1),(543,1),(544,1)}
       535:{4,7}:{(522,1),(543,1)}
       536:{2,5}:{(523,1),(542,1),(544,1)}
       537:{2,5,6}:{(524,1),(525,1),(528,1),(545,1),(548,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(527,1),(531,1),(546,1),(547,1)}
       540:{3,5,7}:{(528,1),(529,1),(545,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{4,6}:{(533,1),(535,1),(549,1)}
       544:{3,5}:{(534,1),(536,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(550,1),(551,1)}
       547:{4,7}:{(540,1),(550,1)}
       548:{2,5}:{(541,1),(542,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(547,1),(552,1)}
       551:{3,5}:{(546,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 759 :   0:{2,3,4}:{(2,1),(3,1),(49,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(133,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(31,1),(73,1),(79,1)}
         4:{2,3,4}:{(12,1),(13,1),(23,1),(61,1)}
         5:{4,5,6}:{(15,1),(16,1),(140,1),(151,1)}
         6:{3,4,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{2,4,5}:{(1,1),(2,1),(17,1),(19,1),(91,1),(122,1)}
         8:{2,3,6}:{(2,1),(17,1),(20,1),(21,1)}
         9:{1,3,5}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1)}
        10:{2,4}:{(3,1),(22,1),(23,1)}
        11:{3,4,5}:{(25,1),(26,1),(79,1),(114,1)}
        12:{2,3,5}:{(4,1),(26,1),(27,1),(28,1)}
        13:{1,3,4}:{(4,1),(28,1),(29,1),(31,1),(73,1),(106,1)}
        14:{1,2,4}:{(10,1),(29,1),(30,1),(31,1),(73,1)}
        15:{3,5,6}:{(5,1),(6,1),(32,1),(33,1),(133,1),(149,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(8,1),(32,1),(35,1),(36,1)}
        18:{3,4,7}:{(6,1),(33,1),(36,1)}
        19:{1,4,5}:{(7,1),(9,1),(35,1),(37,1),(73,1),(109,1)}
        20:{1,3,6}:{(8,1),(9,1),(35,1),(38,1),(39,1),(77,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{2,5}:{(9,1),(10,1),(38,1)}
        23:{2,3}:{(10,1),(31,1)}
        24:{4,5,6}:{(41,1),(42,1),(125,1),(145,1)}
        25:{3,4,6}:{(11,1),(41,1),(43,1),(44,1)}
        26:{2,4,5}:{(11,1),(12,1),(43,1),(45,1),(61,1),(99,1)}
        27:{2,3,6}:{(12,1),(43,1),(46,1),(47,1)}
        28:{1,3,5}:{(12,1),(13,1),(45,1),(46,1),(48,1),(88,1)}
        29:{2,4}:{(13,1),(48,1),(49,1)}
        30:{1,2,5}:{(14,1),(22,1),(48,1),(50,1),(51,1)}
        31:{1,3}:{(14,1),(23,1),(49,1)}
        32:{2,5,6}:{(15,1),(17,1),(52,1),(53,1),(122,1),(144,1)}
        33:{3,5,7}:{(15,1),(16,1),(18,1),(53,1),(54,1)}
        34:{4,6,7}:{(16,1),(54,1),(55,1),(151,1)}
        35:{1,4,6}:{(17,1),(19,1),(20,1),(52,1),(56,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(21,1),(53,1),(57,1)}
        37:{2,4,5}:{(19,1),(22,1),(56,1),(58,1),(61,1),(99,1),(125,1)}
        38:{2,6}:{(20,1),(22,1),(60,1)}
        39:{1,3,7}:{(20,1),(21,1),(57,1),(60,1),(98,1)}
        40:{2,3,5}:{(22,1),(23,1),(51,1),(58,1),(59,1),(61,1),(99,1)}
        41:{3,5,6}:{(24,1),(25,1),(62,1),(63,1),(114,1),(139,1)}
        42:{4,5,7}:{(24,1),(63,1),(64,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(62,1),(65,1),(66,1)}
        44:{3,4,7}:{(25,1),(63,1),(66,1)}
        45:{1,4,5}:{(26,1),(28,1),(65,1),(67,1),(73,1),(109,1)}
        46:{1,3,6}:{(27,1),(28,1),(65,1),(68,1),(69,1),(104,1)}
        47:{2,3,7}:{(27,1),(66,1),(69,1)}
        48:{2,5}:{(28,1),(29,1),(68,1)}
        49:{2,3}:{(29,1),(31,1)}
        50:{1,2,6}:{(30,1),(38,1),(68,1),(71,1),(72,1)}
        51:{1,3,5}:{(30,1),(31,1),(40,1),(70,1),(71,1),(73,1),(109,1)}
        52:{1,5,6}:{(32,1),(35,1),(74,1),(75,1),(109,1),(136,1)}
        53:{2,5,7}:{(32,1),(33,1),(36,1),(75,1),(76,1)}
        54:{3,6,7}:{(33,1),(34,1),(76,1),(149,1)}
        55:{5,6,7}:{(34,1),(153,1)}
        56:{2,4,6}:{(35,1),(37,1),(38,1),(74,1),(77,1),(78,1),(111,1)}
        57:{1,4,7}:{(35,1),(36,1),(39,1),(75,1),(78,1)}
        58:{3,5}:{(37,1),(77,1),(79,1)}
        59:{2,3,6}:{(38,1),(40,1),(71,1),(77,1),(80,1),(81,1)}
        60:{2,7}:{(38,1),(39,1)}
        61:{2,4}:{(40,1),(73,1),(79,1)}
        62:{2,5,6}:{(41,1),(43,1),(82,1),(83,1),(99,1),(129,1)}
        63:{3,5,7}:{(41,1),(42,1),(44,1),(83,1),(84,1)}
        64:{4,6,7}:{(42,1),(84,1),(85,1),(145,1)}
        65:{1,4,6}:{(43,1),(45,1),(46,1),(82,1),(86,1),(87,1)}
        66:{2,4,7}:{(43,1),(44,1),(47,1),(83,1),(87,1)}
        67:{2,4,5}:{(45,1),(48,1),(86,1),(88,1),(91,1),(122,1),(140,1)}
        68:{2,6}:{(46,1),(48,1),(90,1)}
        69:{1,3,7}:{(46,1),(47,1),(87,1),(90,1),(121,1)}
        70:{2,3,5}:{(48,1),(49,1),(51,1),(88,1),(89,1),(91,1),(122,1)}
        71:{1,3,6}:{(50,1),(51,1),(59,1),(89,1),(92,1),(93,1)}
        72:{1,2,7}:{(50,1),(60,1),(90,1),(93,1)}
        73:{1,4}:{(51,1),(61,1),(91,1)}
        74:{2,5,6}:{(52,1),(56,1),(94,1),(95,1),(99,1),(129,1)}
        75:{1,5,7}:{(52,1),(53,1),(57,1),(95,1),(96,1)}
        76:{2,6,7}:{(53,1),(54,1),(96,1),(144,1)}
        77:{3,6}:{(56,1),(58,1),(98,1)}
        78:{2,4,7}:{(56,1),(57,1),(60,1),(95,1),(98,1),(126,1)}
        79:{3,4}:{(58,1),(61,1)}
        80:{2,4,6}:{(59,1),(61,1),(92,1),(97,1),(99,1),(100,1),(129,1)}
        81:{2,3,7}:{(59,1),(60,1),(93,1),(98,1),(100,1)}
        82:{1,5,6}:{(62,1),(65,1),(101,1),(102,1),(109,1),(136,1)}
        83:{2,5,7}:{(62,1),(63,1),(66,1),(102,1),(103,1)}
        84:{3,6,7}:{(63,1),(64,1),(103,1),(139,1)}
        85:{5,6,7}:{(64,1),(150,1)}
        86:{2,4,6}:{(65,1),(67,1),(68,1),(101,1),(104,1),(105,1),(130,1)}
        87:{1,4,7}:{(65,1),(66,1),(69,1),(102,1),(105,1)}
        88:{3,5}:{(67,1),(104,1),(106,1)}
        89:{2,3,6}:{(68,1),(70,1),(71,1),(104,1),(107,1),(108,1)}
        90:{2,7}:{(68,1),(69,1)}
        91:{2,4}:{(70,1),(73,1),(106,1)}
        92:{1,4,6}:{(71,1),(73,1),(80,1),(107,1),(109,1),(110,1),(136,1)}
        93:{1,3,7}:{(71,1),(72,1),(81,1),(108,1),(110,1)}
        94:{3,5,6}:{(74,1),(77,1),(111,1),(112,1),(114,1),(139,1),(150,1)}
        95:{2,5,7}:{(74,1),(75,1),(78,1),(112,1),(113,1)}
        96:{1,6,7}:{(75,1),(76,1),(113,1),(136,1)}
        97:{3,4,6}:{(77,1),(79,1),(80,1),(111,1),(114,1),(115,1),(139,1)}
        98:{3,7}:{(77,1),(78,1)}
        99:{2,5}:{(80,1),(109,1),(114,1)}
       100:{2,4,7}:{(80,1),(81,1),(110,1),(115,1),(116,1)}
       101:{2,5,6}:{(82,1),(86,1),(117,1),(118,1),(122,1),(144,1)}
       102:{1,5,7}:{(82,1),(83,1),(87,1),(118,1),(119,1)}
       103:{2,6,7}:{(83,1),(84,1),(119,1),(129,1)}
       104:{3,6}:{(86,1),(88,1),(121,1)}
       105:{2,4,7}:{(86,1),(87,1),(90,1),(118,1),(121,1),(141,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,4,6}:{(89,1),(91,1),(92,1),(120,1),(122,1),(123,1),(144,1)}
       108:{2,3,7}:{(89,1),(90,1),(93,1),(121,1),(123,1)}
       109:{1,5}:{(92,1),(99,1),(122,1)}
       110:{1,4,7}:{(92,1),(93,1),(100,1),(123,1),(124,1)}
       111:{4,6}:{(94,1),(125,1),(126,1)}
       112:{3,5,7}:{(94,1),(95,1),(98,1),(126,1),(127,1),(146,1)}
       113:{2,6,7}:{(95,1),(96,1),(127,1),(129,1)}
       114:{3,5}:{(97,1),(99,1),(125,1)}
       115:{3,4,7}:{(97,1),(98,1),(100,1),(126,1),(128,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{3,5,6}:{(101,1),(104,1),(130,1),(131,1),(133,1),(149,1),(153,1)}
       118:{2,5,7}:{(101,1),(102,1),(105,1),(131,1),(132,1)}
       119:{1,6,7}:{(102,1),(103,1),(132,1),(136,1)}
       120:{3,4,6}:{(104,1),(106,1),(107,1),(130,1),(133,1),(134,1),(149,1)}
       121:{3,7}:{(104,1),(105,1)}
       122:{2,5}:{(107,1),(109,1),(133,1)}
       123:{2,4,7}:{(107,1),(108,1),(110,1),(134,1),(135,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{4,5}:{(111,1),(114,1)}
       126:{4,7}:{(111,1),(112,1)}
       127:{3,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(137,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{4,6}:{(117,1),(140,1),(141,1)}
       131:{3,5,7}:{(117,1),(118,1),(121,1),(141,1),(142,1),(152,1)}
       132:{2,6,7}:{(118,1),(119,1),(142,1),(144,1)}
       133:{3,5}:{(120,1),(122,1),(140,1)}
       134:{3,4,7}:{(120,1),(121,1),(123,1),(141,1),(143,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,5,7}:{(125,1),(126,1),(128,1),(145,1),(146,1)}
       138:{4,6,7}:{(126,1),(127,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(145,1)}
       140:{4,5}:{(130,1),(133,1)}
       141:{4,7}:{(130,1),(131,1)}
       142:{3,6,7}:{(131,1),(132,1),(148,1),(149,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(147,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{4,6}:{(137,1),(139,1),(150,1)}
       146:{5,7}:{(138,1),(150,1)}
       147:{4,5,7}:{(140,1),(141,1),(143,1),(151,1),(152,1)}
       148:{4,6,7}:{(141,1),(142,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(151,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(149,1),(153,1)}
       152:{5,7}:{(148,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 760 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 761 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 762 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 763 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 764 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(22,1),(50,1),(122,1),(131,1),(132,1),(135,1),(137,1),(200,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(25,1),(31,1),(34,1),(74,1),(78,1),(81,1),(83,1),(89,1),(142,1),(157,1),(161,1),(170,1),(172,1),(221,1),(228,1),(269,1),(282,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(40,1),(81,1),(93,1),(98,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(10,1),(35,1),(97,1),(99,1),(163,1),(173,1),(233,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(50,1),(115,1),(194,1),(200,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(15,1),(19,1),(48,1),(56,1),(60,1),(110,1),(134,1),(179,1),(199,1),(246,1),(298,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(200,1),(206,1),(208,1),(260,1)}
         7:{1,4,5,7}:{(2,1),(17,1),(19,1),(47,1),(65,1),(118,1),(131,1),(135,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(21,1),(60,1)}
         9:{1,3,4,6,7}:{(3,1),(20,1),(22,1),(61,1),(70,1),(135,1),(137,1),(141,1),(208,1)}
        10:{1,3,5,6}:{(3,1),(21,1),(22,1),(23,1),(50,1),(69,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(89,1),(168,1),(228,1),(238,1),(273,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(34,1),(81,1),(90,1),(142,1),(146,1),(169,1),(220,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(173,1),(233,1),(270,1)}
        14:{1,2,4,6,7}:{(5,1),(29,1),(31,1),(38,1),(80,1),(89,1),(94,1),(150,1),(172,1),(214,1),(269,1)}
        15:{1,2,5,6}:{(5,1),(30,1),(31,1),(39,1),(81,1),(95,1),(151,1),(157,1),(160,1),(215,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(98,1),(146,1),(168,1),(236,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1),(92,1),(282,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(173,1),(233,1),(281,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(39,1)}
        20:{2,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(40,1),(94,1),(98,1),(172,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(81,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(40,1),(43,1),(104,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(97,1),(163,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(113,1),(122,1),(186,1),(187,1),(200,1),(247,1),(249,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(12,1),(47,1),(48,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(50,1),(56,1),(128,1)}
        27:{1,3,5,7}:{(12,1),(47,1),(51,1),(52,1),(115,1),(118,1),(194,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(60,1),(179,1)}
        29:{1,3,6,7}:{(13,1),(14,1),(53,1),(55,1),(208,1),(288,1),(298,1)}
        30:{1,3,5,6}:{(13,1),(15,1),(50,1),(54,1),(55,1),(56,1),(194,1),(261,1),(263,1),(298,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(55,1),(65,1),(119,1),(133,1),(188,1),(245,1),(299,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(47,1),(57,1),(58,1),(115,1),(135,1),(208,1),(264,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(209,1),(250,1),(265,1)}
        34:{2,5,7}:{(17,1),(57,1),(60,1),(130,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(60,1),(298,1)}
        36:{2,3,6,7}:{(18,1),(20,1),(61,1),(63,1),(141,1),(208,1),(212,1)}
        37:{2,3,5,6}:{(18,1),(21,1),(59,1),(62,1),(63,1),(64,1),(69,1),(140,1),(209,1)}
        38:{1,4,6,7}:{(19,1),(20,1),(61,1),(65,1),(135,1)}
        39:{1,5,6}:{(19,1),(21,1),(65,1),(118,1)}
        40:{2,5,7}:{(20,1),(21,1),(22,1),(65,1)}
        41:{2,4,5,6}:{(21,1),(23,1),(64,1),(66,1),(68,1),(69,1),(120,1),(134,1),(140,1),(199,1)}
        42:{1,3,5,6,7}:{(22,1),(67,1),(70,1),(121,1),(141,1)}
        43:{1,4,5,7}:{(22,1),(23,1),(68,1),(70,1),(135,1),(213,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(168,1),(218,1),(236,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(74,1),(75,1),(81,1),(142,1),(149,1),(152,1),(218,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(75,1),(77,1),(143,1),(163,1),(217,1),(219,1),(233,1),(270,1)}
        47:{1,4,7}:{(25,1),(27,1),(79,1),(228,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(79,1),(81,1)}
        49:{1,3,4,6,7}:{(26,1),(29,1),(80,1),(82,1),(89,1),(163,1),(168,1),(233,1)}
        50:{1,3,5}:{(26,1),(81,1),(83,1),(162,1)}
        51:{1,2,5,7}:{(27,1),(34,1),(78,1),(84,1),(142,1),(157,1),(282,1)}
        52:{1,3,6}:{(27,1),(28,1),(79,1),(84,1)}
        53:{2,3,6,7}:{(28,1),(29,1),(80,1),(85,1),(87,1),(94,1),(214,1),(233,1),(281,1)}
        54:{2,3,5,6}:{(28,1),(30,1),(81,1),(86,1),(87,1),(88,1),(95,1),(160,1),(162,1),(169,1),(173,1),(215,1),(220,1),(232,1),(233,1),(235,1),(270,1),(281,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(31,1),(87,1),(89,1),(282,1),(283,1)}
        56:{1,4,6}:{(30,1),(83,1),(88,1),(89,1),(228,1)}
        57:{2,4,7}:{(32,1),(34,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(35,1),(79,1),(91,1),(92,1),(97,1),(156,1),(173,1),(228,1),(237,1),(238,1),(242,1),(285,1)}
        59:{2,3,5}:{(33,1),(81,1),(92,1),(93,1),(162,1),(232,1)}
        60:{2,6}:{(34,1),(35,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(38,1),(94,1),(96,1),(244,1)}
        62:{1,3,5,6}:{(35,1),(37,1),(39,1),(92,1),(95,1),(96,1),(97,1),(173,1),(178,1),(242,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(40,1),(96,1),(98,1),(104,1),(177,1),(241,1)}
        64:{2,4,6}:{(37,1),(93,1),(97,1),(98,1),(99,1)}
        65:{1,5,7}:{(38,1),(39,1),(40,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(97,1),(101,1),(102,1),(159,1),(230,1)}
        67:{2,5,6,7}:{(40,1),(42,1),(100,1),(103,1),(160,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(98,1),(101,1),(103,1),(104,1),(172,1),(177,1)}
        69:{3,5,6}:{(41,1),(99,1),(104,1),(162,1),(173,1),(233,1)}
        70:{1,4,6,7}:{(42,1),(43,1),(103,1),(163,1),(244,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(200,1),(251,1),(260,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(47,1),(105,1),(107,1),(108,1),(115,1),(247,1),(264,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(48,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(289,1),(292,1)}
        74:{1,4,5,7}:{(45,1),(47,1),(105,1),(110,1),(118,1),(186,1),(188,1),(247,1)}
        75:{2,4,6}:{(45,1),(46,1),(106,1),(110,1),(112,1),(179,1)}
        76:{1,3,4,6,7}:{(46,1),(111,1),(113,1),(180,1),(193,1),(247,1),(249,1),(256,1),(288,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(112,1),(113,1),(114,1),(192,1)}
        78:{1,2,4,7}:{(47,1),(51,1),(57,1),(107,1),(115,1),(116,1),(264,1),(299,1)}
        79:{1,4,6}:{(47,1),(48,1),(52,1),(118,1)}
        80:{2,4,6,7}:{(48,1),(49,1),(53,1),(117,1),(119,1),(127,1),(199,1)}
        81:{2,5}:{(48,1),(50,1),(118,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(119,1),(121,1),(122,1),(200,1)}
        83:{1,4,5}:{(50,1),(56,1),(120,1),(261,1)}
        84:{1,2,6}:{(51,1),(52,1),(60,1),(179,1),(298,1)}
        85:{1,3,6,7}:{(52,1),(53,1),(117,1),(123,1),(125,1),(259,1)}
        86:{1,3,5,6}:{(52,1),(54,1),(118,1),(124,1),(125,1),(126,1),(194,1),(196,1),(198,1),(202,1),(259,1)}
        87:{2,3,5,7}:{(53,1),(54,1),(55,1),(119,1),(125,1),(127,1),(133,1),(200,1),(208,1),(245,1),(260,1),(262,1),(288,1)}
        88:{2,4,6}:{(54,1),(56,1),(120,1),(126,1),(127,1),(128,1),(205,1),(250,1)}
        89:{1,4,7}:{(55,1),(56,1),(127,1)}
        90:{2,3,7}:{(57,1),(115,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(60,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(118,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(61,1),(133,1)}
        95:{2,5,6}:{(60,1),(62,1),(130,1),(133,1),(134,1),(268,1)}
        96:{1,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(133,1),(135,1),(208,1),(213,1),(267,1)}
        97:{1,4,6}:{(62,1),(64,1),(131,1),(134,1),(135,1)}
        98:{2,4,7}:{(63,1),(64,1),(135,1),(137,1)}
        99:{3,4,6}:{(64,1),(69,1),(132,1),(137,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(196,1)}
       101:{1,4,5,7}:{(65,1),(66,1),(68,1),(135,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(66,1),(69,1),(136,1),(139,1),(140,1),(198,1),(259,1)}
       103:{2,4,6,7}:{(67,1),(68,1),(70,1),(138,1),(141,1),(199,1),(212,1)}
       104:{3,5,7}:{(68,1),(69,1),(137,1),(141,1),(208,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(142,1),(143,1),(148,1),(282,1)}
       106:{2,3,6}:{(71,1),(75,1),(143,1),(233,1),(270,1),(281,1)}
       107:{2,4,7}:{(72,1),(142,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(79,1),(143,1),(147,1),(148,1),(156,1),(217,1),(228,1),(237,1),(270,1),(273,1),(302,1),(304,1)}
       109:{2,3,5}:{(73,1),(81,1),(148,1),(149,1),(162,1),(232,1)}
       110:{1,4,6}:{(74,1),(75,1),(143,1),(151,1)}
       111:{2,4,6,7}:{(75,1),(76,1),(144,1),(150,1),(152,1),(214,1),(218,1),(269,1)}
       112:{2,5,6}:{(75,1),(77,1),(81,1),(151,1),(152,1)}
       113:{1,3,5,7}:{(76,1),(77,1),(152,1),(155,1),(227,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(163,1),(217,1),(278,1)}
       115:{1,3,7}:{(78,1),(90,1),(146,1),(156,1)}
       116:{1,2,4,6}:{(78,1),(79,1),(84,1),(91,1),(147,1),(156,1),(157,1),(228,1),(237,1),(284,1),(307,1)}
       117:{1,4,6,7}:{(79,1),(80,1),(85,1),(158,1),(166,1),(230,1)}
       118:{1,5}:{(79,1),(81,1)}
       119:{2,5,7}:{(80,1),(81,1),(82,1),(158,1),(160,1)}
       120:{2,4,5}:{(81,1),(83,1),(88,1),(159,1),(162,1),(232,1)}
       121:{1,3,5,6}:{(82,1),(160,1),(163,1),(233,1)}
       122:{1,4,5,7}:{(82,1),(83,1),(89,1),(161,1),(163,1),(282,1)}
       123:{1,2,6,7}:{(84,1),(85,1),(94,1),(164,1),(214,1),(244,1),(281,1),(306,1)}
       124:{1,2,5,6}:{(84,1),(86,1),(95,1),(157,1),(164,1),(165,1),(178,1),(215,1),(232,1),(278,1),(281,1)}
       125:{1,3,5,7}:{(85,1),(86,1),(87,1),(158,1),(164,1),(166,1),(234,1)}
       126:{1,4,6}:{(86,1),(88,1),(159,1),(166,1),(228,1)}
       127:{2,4,7}:{(87,1),(88,1),(89,1),(166,1),(168,1)}
       128:{3,4,6}:{(88,1),(162,1),(168,1),(173,1),(233,1),(238,1),(270,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(156,1),(169,1),(173,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(97,1),(170,1),(228,1)}
       132:{3,4,5}:{(93,1),(99,1),(162,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(96,1),(172,1),(287,1)}
       134:{2,4,6}:{(95,1),(97,1),(170,1),(172,1),(173,1)}
       135:{1,4,7}:{(96,1),(97,1),(98,1),(172,1)}
       136:{1,3,4,6}:{(97,1),(99,1),(102,1),(171,1),(173,1),(174,1),(175,1),(242,1)}
       137:{3,4,7}:{(98,1),(99,1),(104,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(103,1),(176,1),(230,1)}
       139:{1,3,5,7}:{(101,1),(102,1),(104,1),(174,1),(176,1),(177,1)}
       140:{2,5,6}:{(102,1),(175,1),(177,1),(178,1),(232,1),(281,1)}
       141:{3,6,7}:{(103,1),(104,1),(233,1)}
       142:{2,5,7}:{(105,1),(107,1),(179,1),(185,1)}
       143:{1,3,6}:{(105,1),(106,1),(110,1),(179,1),(298,1)}
       144:{2,3,6,7}:{(106,1),(111,1),(180,1),(182,1),(256,1),(288,1),(294,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(112,1),(181,1),(182,1),(183,1),(192,1),(255,1),(289,1)}
       146:{2,3,7}:{(107,1),(115,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(179,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(118,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,4,6,7}:{(110,1),(111,1),(180,1),(188,1),(247,1)}
       151:{1,5,6}:{(110,1),(112,1),(118,1),(188,1)}
       152:{2,5,7}:{(111,1),(112,1),(113,1),(188,1)}
       153:{2,4,5,6}:{(112,1),(114,1),(120,1),(183,1),(189,1),(191,1),(192,1),(199,1),(246,1),(255,1)}
       154:{1,3,5,6,7}:{(113,1),(121,1),(190,1),(193,1),(256,1)}
       155:{1,4,5,7}:{(113,1),(114,1),(191,1),(193,1),(247,1),(295,1)}
       156:{1,3,6}:{(115,1),(116,1),(129,1),(184,1),(194,1),(312,1)}
       157:{1,2,5}:{(116,1),(118,1),(130,1),(185,1),(194,1),(261,1)}
       158:{1,5,7}:{(117,1),(118,1),(119,1),(196,1)}
       159:{1,4,5}:{(118,1),(120,1),(126,1),(198,1)}
       160:{2,5,6}:{(119,1),(121,1),(196,1),(199,1)}
       161:{2,4,5,7}:{(119,1),(120,1),(122,1),(127,1),(197,1),(199,1),(200,1),(260,1)}
       162:{3,5}:{(120,1),(128,1)}
       163:{1,4,6}:{(121,1),(122,1),(199,1),(298,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(125,1),(133,1),(201,1),(213,1),(245,1),(260,1),(295,1)}
       165:{1,2,4,6}:{(124,1),(126,1),(134,1),(195,1),(201,1),(202,1),(204,1),(211,1),(246,1),(268,1),(291,1),(310,1)}
       166:{1,4,7}:{(125,1),(126,1),(127,1)}
       167:{1,3,4,6}:{(126,1),(128,1),(198,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       168:{3,4,7}:{(127,1),(128,1),(200,1),(208,1),(288,1)}
       169:{2,3,5}:{(129,1),(130,1),(194,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(134,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(136,1),(198,1),(206,1),(207,1),(257,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(135,1),(208,1)}
       173:{3,6}:{(134,1),(206,1),(208,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(137,1),(139,1),(208,1),(210,1),(267,1)}
       175:{2,4,6}:{(136,1),(140,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(141,1),(212,1),(259,1)}
       177:{2,5,7}:{(139,1),(140,1),(210,1),(212,1),(213,1)}
       178:{1,5,6}:{(140,1),(211,1),(213,1),(261,1),(298,1)}
       179:{2,6}:{(142,1),(143,1)}
       180:{1,3,6,7}:{(143,1),(144,1),(150,1),(214,1),(216,1),(306,1)}
       181:{1,3,5,6}:{(143,1),(145,1),(148,1),(151,1),(215,1),(216,1),(217,1),(270,1),(278,1),(302,1)}
       182:{2,3,5,7}:{(144,1),(145,1),(152,1),(216,1),(218,1),(227,1),(277,1),(301,1)}
       183:{2,4,6}:{(145,1),(149,1),(217,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(156,1),(220,1),(270,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(217,1),(221,1),(228,1)}
       187:{3,4,5}:{(149,1),(162,1),(219,1),(238,1)}
       188:{1,5,7}:{(150,1),(151,1),(152,1)}
       189:{1,4,5,6}:{(151,1),(153,1),(159,1),(217,1),(224,1),(225,1),(230,1)}
       190:{2,5,6,7}:{(152,1),(154,1),(160,1),(223,1),(226,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(218,1),(224,1),(226,1),(227,1),(269,1),(277,1)}
       192:{3,5,6}:{(153,1),(162,1),(219,1),(227,1),(233,1),(270,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(163,1),(226,1),(306,1)}
       194:{1,3,5}:{(156,1),(157,1),(169,1),(220,1),(228,1)}
       195:{1,2,4,5}:{(157,1),(159,1),(165,1),(170,1),(221,1),(228,1),(229,1),(232,1),(240,1),(275,1),(279,1),(286,1),(305,1),(307,1)}
       196:{1,5,6}:{(158,1),(160,1),(230,1)}
       197:{1,4,5,7}:{(158,1),(159,1),(161,1),(166,1),(230,1),(231,1)}
       198:{1,3,5}:{(159,1),(162,1),(167,1),(232,1)}
       199:{2,4,6}:{(160,1),(161,1),(163,1),(230,1),(233,1),(281,1)}
       200:{3,5,7}:{(161,1),(162,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(166,1),(172,1),(234,1),(236,1),(243,1),(269,1),(287,1),(303,1),(313,1)}
       202:{1,3,6}:{(165,1),(173,1),(229,1),(234,1),(235,1),(270,1)}
       203:{1,3,4,7}:{(166,1),(167,1),(168,1),(231,1),(234,1),(236,1)}
       204:{2,4,6}:{(167,1),(232,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(228,1),(238,1)}
       206:{3,5}:{(170,1),(173,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(232,1),(239,1),(240,1),(279,1),(286,1)}
       208:{3,7}:{(172,1),(173,1)}
       209:{2,3,6}:{(173,1),(175,1),(239,1),(241,1),(242,1)}
       210:{2,4,7}:{(174,1),(175,1),(177,1),(241,1),(243,1),(287,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(281,1)}
       213:{1,5,7}:{(177,1),(178,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(180,1),(245,1)}
       215:{2,5,6}:{(179,1),(181,1),(185,1),(245,1),(246,1),(310,1)}
       216:{1,3,5,7}:{(180,1),(181,1),(182,1),(188,1),(245,1),(247,1),(288,1),(295,1),(309,1)}
       217:{1,4,6}:{(181,1),(183,1),(186,1),(246,1),(247,1)}
       218:{2,4,7}:{(182,1),(183,1),(247,1),(249,1)}
       219:{3,4,6}:{(183,1),(187,1),(192,1),(249,1)}
       220:{2,3,5}:{(184,1),(185,1),(194,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(246,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(198,1),(248,1),(251,1),(252,1),(257,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{1,4,5,7}:{(188,1),(189,1),(191,1),(247,1),(253,1),(254,1)}
       225:{1,3,5,6}:{(189,1),(192,1),(198,1),(248,1),(254,1),(255,1),(259,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(253,1),(256,1),(294,1)}
       227:{3,5,7}:{(191,1),(192,1),(249,1),(256,1),(288,1)}
       228:{1,4}:{(194,1),(205,1),(250,1)}
       229:{1,3,5}:{(195,1),(202,1),(206,1),(251,1),(257,1),(258,1),(312,1)}
       230:{1,4,6}:{(196,1),(197,1),(199,1),(259,1)}
       231:{1,3,5,7}:{(197,1),(198,1),(200,1),(203,1),(259,1),(260,1)}
       232:{2,5}:{(198,1),(204,1),(261,1)}
       233:{3,6}:{(199,1),(200,1)}
       234:{1,3,7}:{(201,1),(202,1),(208,1),(262,1),(288,1)}
       235:{2,3,6}:{(202,1),(204,1),(258,1),(262,1),(263,1),(268,1),(310,1)}
       236:{2,4,7}:{(203,1),(204,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(298,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(209,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(296,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,3,6}:{(209,1),(211,1),(266,1),(267,1),(268,1)}
       243:{1,4,7}:{(210,1),(211,1),(213,1),(267,1)}
       244:{1,6,7}:{(212,1),(213,1),(298,1)}
       245:{2,5,7}:{(214,1),(215,1),(216,1),(269,1),(313,1)}
       246:{2,4,6}:{(215,1),(217,1),(221,1),(269,1),(270,1)}
       247:{1,4,7}:{(216,1),(217,1),(218,1),(269,1)}
       248:{1,3,4,6}:{(217,1),(219,1),(222,1),(225,1),(270,1),(271,1),(272,1),(302,1)}
       249:{3,4,7}:{(218,1),(219,1),(227,1)}
       250:{2,4}:{(220,1),(228,1),(273,1)}
       251:{3,5}:{(221,1),(270,1),(273,1)}
       252:{2,4,5}:{(222,1),(232,1),(272,1),(274,1),(275,1),(279,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(226,1),(230,1),(276,1)}
       254:{1,3,5,7}:{(224,1),(225,1),(227,1),(271,1),(276,1),(277,1)}
       255:{2,5,6}:{(225,1),(232,1),(272,1),(277,1),(278,1),(281,1)}
       256:{3,6,7}:{(226,1),(227,1),(233,1)}
       257:{1,3,4}:{(228,1),(229,1),(238,1),(273,1),(279,1)}
       258:{2,3,5}:{(229,1),(232,1),(235,1),(279,1),(280,1),(286,1),(305,1),(308,1),(314,1)}
       259:{1,3,6}:{(230,1),(231,1),(233,1),(281,1)}
       260:{2,5,7}:{(231,1),(232,1),(236,1),(281,1),(282,1)}
       261:{1,5}:{(232,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,3,6}:{(235,1),(237,1),(280,1),(283,1),(284,1)}
       264:{1,4,7}:{(236,1),(237,1),(282,1),(283,1)}
       265:{2,3,4}:{(238,1),(239,1),(279,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(242,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(242,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(247,1),(288,1)}
       270:{3,6}:{(246,1),(251,1),(288,1)}
       271:{1,3,4,7}:{(247,1),(248,1),(249,1),(254,1),(288,1),(290,1),(309,1)}
       272:{2,4,6}:{(248,1),(252,1),(255,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(289,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(296,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(256,1),(259,1),(294,1)}
       277:{2,5,7}:{(254,1),(255,1),(290,1),(294,1),(295,1)}
       278:{1,5,6}:{(255,1),(261,1),(291,1),(295,1),(298,1)}
       279:{2,4}:{(257,1),(258,1),(296,1)}
       280:{1,3,5}:{(258,1),(261,1),(263,1),(296,1),(297,1),(312,1)}
       281:{2,6}:{(259,1),(260,1),(298,1)}
       282:{1,5,7}:{(260,1),(261,1),(264,1),(298,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(263,1),(268,1),(297,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(296,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(270,1)}
       289:{2,3,6}:{(270,1),(272,1),(274,1),(301,1),(302,1)}
       290:{2,4,7}:{(271,1),(272,1),(277,1),(301,1),(303,1),(313,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(279,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(302,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(281,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(303,1),(306,1)}
       296:{1,4}:{(279,1),(280,1)}
       297:{1,2,5}:{(280,1),(284,1),(286,1),(305,1),(307,1)}
       298:{1,6}:{(281,1),(282,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,3,6}:{(289,1),(291,1),(293,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(295,1),(309,1)}
       304:{1,3,4}:{(292,1),(293,1),(296,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(298,1)}
       307:{1,2,4}:{(296,1),(297,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(302,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

 765 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

 766 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 767 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(27,1),(35,1),(68,1),(78,1),(83,1),(88,1),(118,1),(125,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(15,1),(21,1),(50,1),(59,1),(63,1),(95,1),(105,1),(112,1),(115,1),(156,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(53,1),(103,1),(147,1),(155,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(125,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(124,1),(134,1),(183,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(68,1),(117,1)}
         7:{1,2,4,6,7}:{(4,1),(15,1),(16,1),(45,1),(48,1),(50,1),(105,1),(156,1),(157,1),(161,1),(164,1),(208,1),(209,1),(233,1),(241,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(53,1),(103,1),(104,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(15,1),(24,1),(59,1),(96,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(155,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(50,1),(94,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(53,1),(93,1),(147,1)}
        15:{1,3,6,7}:{(7,1),(11,1),(27,1),(30,1),(70,1),(126,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(12,1),(28,1),(30,1),(67,1),(134,1),(183,1),(189,1),(222,1),(239,1)}
        17:{1,3,5,6,7}:{(8,1),(9,1),(33,1),(34,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(10,1),(32,1),(34,1),(35,1)}
        19:{2,4,5,6}:{(10,1),(32,1),(36,1),(37,1),(80,1),(117,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(29,1),(41,1),(42,1),(82,1),(86,1),(122,1),(125,1),(144,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(30,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(73,1),(76,1),(89,1),(124,1),(132,1),(136,1),(188,1),(190,1),(224,1),(225,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(96,1),(150,1),(164,1),(203,1)}
        28:{1,2,5,6}:{(16,1),(20,1),(47,1),(48,1),(91,1),(108,1),(155,1),(157,1),(167,1),(205,1),(206,1),(231,1)}
        29:{1,3,4,6,7}:{(15,1),(23,1),(45,1),(49,1),(50,1),(93,1),(95,1),(98,1),(150,1),(152,1),(156,1),(201,1),(208,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(24,1),(46,1),(47,1),(50,1)}
        31:{1,2,4,5,7}:{(16,1),(25,1),(48,1),(50,1),(51,1),(65,1),(92,1),(94,1),(100,1),(116,1),(155,1),(160,1),(161,1),(202,1),(206,1),(209,1),(210,1),(229,1),(234,1),(241,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(52,1),(53,1),(103,1),(209,1)}
        33:{2,5,6,7}:{(17,1),(20,1),(54,1),(103,1),(164,1)}
        34:{1,4,6,7}:{(17,1),(18,1),(21,1),(52,1),(54,1)}
        35:{3,4,6,7}:{(18,1),(22,1),(53,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(52,1),(56,1),(57,1),(94,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(53,1),(147,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(47,1),(58,1),(59,1),(96,1),(110,1),(155,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(49,1),(61,1),(62,1),(110,1),(155,1),(168,1),(204,1)}
        42:{2,4,7}:{(24,1),(50,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(100,1),(103,1),(116,1),(155,1),(162,1),(165,1),(209,1),(210,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(67,1),(68,1),(120,1),(125,1),(180,1),(221,1)}
        46:{2,3,5,7}:{(27,1),(30,1),(66,1),(67,1),(68,1),(121,1),(189,1),(224,1)}
        47:{1,3,5,6}:{(28,1),(30,1),(38,1),(66,1),(69,1),(70,1),(124,1),(126,1),(183,1),(223,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(39,1),(69,1),(70,1),(84,1),(120,1),(125,1),(143,1),(186,1),(191,1),(221,1),(237,1)}
        49:{1,3,5,7}:{(29,1),(41,1),(67,1),(71,1),(72,1),(121,1),(124,1),(183,1),(222,1)}
        50:{1,4,7}:{(30,1),(42,1),(68,1),(69,1)}
        51:{1,3,5,7}:{(31,1),(43,1),(70,1),(73,1),(74,1),(121,1),(124,1),(187,1),(223,1),(224,1),(225,1),(238,1),(244,1)}
        52:{1,4,5,7}:{(32,1),(34,1),(36,1),(75,1),(76,1),(134,1),(188,1)}
        53:{3,5,7}:{(32,1),(35,1),(37,1),(224,1)}
        54:{2,4,6,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(40,1),(76,1),(77,1),(78,1),(132,1),(135,1),(188,1),(224,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(75,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(76,1),(79,1),(80,1),(124,1)}
        58:{2,4,6}:{(38,1),(42,1),(69,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(71,1),(86,1),(140,1),(178,1),(182,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(72,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(224,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(130,1),(134,1),(183,1),(188,1),(190,1)}
        66:{2,3,5,6}:{(46,1),(47,1),(90,1),(91,1),(96,1),(147,1),(150,1),(155,1),(167,1),(211,1),(212,1)}
        67:{2,5,7}:{(45,1),(49,1),(91,1),(155,1)}
        68:{2,4,7}:{(46,1),(50,1),(90,1),(93,1)}
        69:{1,4,6}:{(47,1),(50,1),(58,1),(90,1),(94,1),(234,1)}
        70:{1,3,6}:{(48,1),(51,1),(59,1),(96,1),(150,1),(211,1),(242,1)}
        71:{1,3,5,6}:{(49,1),(61,1),(91,1),(98,1),(150,1),(201,1),(205,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(62,1),(92,1),(94,1),(98,1)}
        73:{1,3,4,7}:{(50,1),(51,1),(63,1),(93,1),(95,1),(100,1),(234,1),(235,1),(243,1)}
        74:{2,3,5,7}:{(51,1),(96,1),(100,1),(101,1),(116,1),(155,1),(171,1),(202,1),(203,1),(212,1),(232,1)}
        75:{2,4,5,7}:{(52,1),(54,1),(56,1),(102,1),(103,1),(162,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(57,1),(102,1),(103,1)}
        77:{3,6,7}:{(54,1),(59,1),(102,1)}
        78:{2,4,6,7}:{(55,1),(60,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{3,5,6}:{(56,1),(59,1),(102,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(103,1),(108,1),(155,1)}
        81:{2,4,5}:{(58,1),(94,1),(110,1),(155,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(97,1),(113,1),(168,1),(200,1),(204,1)}
        86:{2,4,6}:{(61,1),(62,1),(98,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(100,1),(111,1),(115,1),(162,1),(203,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{2,4,6}:{(66,1),(68,1),(69,1),(117,1),(118,1),(226,1)}
        91:{2,5,6}:{(67,1),(71,1),(120,1),(221,1)}
        92:{2,4,5,7}:{(67,1),(68,1),(72,1),(117,1),(120,1),(121,1)}
        93:{3,4,7}:{(68,1),(118,1),(121,1),(224,1)}
        94:{1,4,5}:{(69,1),(81,1),(117,1),(124,1),(183,1)}
        95:{1,3,4,6}:{(69,1),(70,1),(73,1),(82,1),(118,1),(124,1),(125,1)}
        96:{2,3,6}:{(70,1),(74,1),(125,1),(126,1),(143,1),(221,1)}
        97:{1,3,5,6,7}:{(71,1),(85,1),(119,1),(127,1),(177,1),(181,1),(220,1),(222,1)}
        98:{1,4,6}:{(71,1),(72,1),(86,1),(120,1)}
        99:{1,3,4,5,7}:{(72,1),(73,1),(87,1),(121,1),(124,1),(128,1),(129,1),(172,1),(179,1),(181,1),(213,1),(215,1),(236,1),(238,1),(244,1)}
       100:{2,4,7}:{(73,1),(74,1),(125,1),(130,1),(226,1),(240,1)}
       101:{1,3,5,7}:{(74,1),(126,1),(130,1),(131,1),(183,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(77,1),(79,1),(132,1)}
       103:{2,5,7}:{(76,1),(78,1),(80,1),(134,1)}
       104:{2,3,6,7}:{(77,1),(78,1),(83,1),(133,1),(135,1),(224,1)}
       105:{1,4,6,7}:{(78,1),(84,1),(134,1),(135,1),(188,1)}
       106:{3,4,6}:{(79,1),(132,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(133,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(134,1),(183,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(123,1),(139,1),(140,1),(182,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(137,1),(141,1),(142,1),(219,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(127,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(130,1),(142,1),(145,1),(187,1),(188,1),(224,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{2,4,5}:{(90,1),(94,1),(147,1),(155,1)}
       118:{3,4,6}:{(90,1),(93,1),(147,1),(150,1),(211,1),(235,1)}
       119:{2,5,6,7}:{(91,1),(97,1),(149,1),(204,1),(233,1)}
       120:{2,4,6}:{(91,1),(92,1),(98,1),(150,1)}
       121:{3,5,7}:{(92,1),(93,1),(147,1),(150,1)}
       122:{2,3,4,7}:{(93,1),(100,1),(148,1),(151,1),(152,1),(171,1),(227,1),(243,1)}
       123:{1,4,5,6}:{(94,1),(98,1),(109,1),(146,1),(153,1),(154,1),(205,1),(228,1)}
       124:{1,3,5}:{(94,1),(95,1),(110,1),(147,1),(155,1)}
       125:{2,4,6}:{(95,1),(96,1),(100,1),(155,1),(156,1)}
       126:{1,3,6}:{(96,1),(101,1),(156,1),(157,1)}
       127:{1,4,6,7}:{(97,1),(98,1),(113,1),(149,1),(153,1)}
       128:{1,3,4,6}:{(98,1),(99,1),(114,1),(150,1),(154,1),(159,1),(194,1),(201,1),(228,1),(242,1)}
       129:{2,4,5,7}:{(99,1),(100,1),(151,1),(155,1),(159,1),(160,1),(195,1),(202,1),(204,1),(227,1),(229,1),(241,1)}
       130:{1,4,7}:{(100,1),(101,1),(156,1),(234,1)}
       131:{1,2,5,7}:{(101,1),(116,1),(157,1),(161,1),(202,1),(206,1)}
       132:{3,4,7}:{(102,1),(106,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(162,1),(163,1)}
       134:{1,5,7}:{(103,1),(105,1),(108,1)}
       135:{1,3,6,7}:{(104,1),(105,1),(112,1),(163,1),(164,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(162,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(163,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(153,1),(168,1),(204,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(155,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(156,1),(166,1),(169,1),(170,1),(207,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,5,6}:{(117,1),(120,1),(123,1),(173,1),(174,1),(182,1),(214,1)}
       147:{3,5}:{(117,1),(118,1)}
       148:{2,3,4,6}:{(118,1),(122,1),(125,1),(175,1),(176,1),(178,1),(193,1),(214,1),(226,1)}
       149:{2,4,6,7}:{(119,1),(120,1),(127,1),(173,1),(177,1)}
       150:{3,6}:{(120,1),(121,1)}
       151:{2,3,5,7}:{(121,1),(122,1),(129,1),(175,1),(178,1),(179,1),(238,1),(244,1)}
       152:{1,3,4,7}:{(122,1),(130,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(127,1),(139,1),(173,1),(181,1),(222,1),(236,1)}
       154:{1,3,5,6}:{(123,1),(124,1),(128,1),(140,1),(174,1),(181,1),(182,1)}
       155:{2,5}:{(124,1),(125,1),(183,1)}
       156:{1,4,6}:{(125,1),(126,1),(130,1),(183,1)}
       157:{1,2,6}:{(126,1),(131,1),(143,1),(221,1)}
       158:{1,3,4,6,7}:{(127,1),(128,1),(144,1),(177,1),(181,1),(185,1),(213,1),(220,1),(236,1),(244,1)}
       159:{2,4,6}:{(128,1),(129,1),(178,1),(182,1),(186,1),(221,1)}
       160:{1,4,5,7}:{(129,1),(130,1),(179,1),(183,1),(186,1),(215,1),(222,1),(236,1)}
       161:{1,2,4,7}:{(130,1),(131,1),(145,1),(180,1),(184,1),(187,1)}
       162:{2,4,7}:{(132,1),(133,1),(137,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(138,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(135,1),(143,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(188,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(189,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(183,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(187,1),(193,1),(224,1)}
       172:{3,4,5}:{(147,1),(194,1),(195,1),(235,1)}
       173:{2,4,5,7}:{(146,1),(149,1),(153,1),(196,1),(204,1),(227,1)}
       174:{3,5,6}:{(146,1),(147,1),(150,1),(194,1),(196,1)}
       175:{2,3,5}:{(147,1),(148,1),(155,1),(195,1),(198,1)}
       176:{1,3,4,6}:{(148,1),(152,1),(156,1),(198,1),(199,1),(201,1),(207,1),(228,1),(234,1),(242,1),(243,1)}
       177:{3,6,7}:{(149,1),(150,1),(196,1)}
       178:{2,3,6}:{(150,1),(151,1),(159,1),(201,1),(242,1)}
       179:{1,3,5,7}:{(151,1),(152,1),(160,1),(198,1),(201,1),(202,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(158,1),(168,1),(196,1),(204,1)}
       182:{2,5,6}:{(154,1),(155,1),(159,1),(204,1),(205,1)}
       183:{1,5}:{(155,1),(156,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(161,1),(170,1),(199,1),(206,1),(207,1),(234,1)}
       185:{2,4,6,7}:{(158,1),(159,1),(200,1),(204,1),(208,1),(227,1),(233,1),(241,1)}
       186:{1,4,6}:{(159,1),(160,1),(201,1),(205,1)}
       187:{1,3,7}:{(161,1),(171,1),(203,1),(207,1)}
       188:{1,4,7}:{(162,1),(163,1),(166,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(167,1),(209,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(209,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(207,1),(211,1),(212,1)}
       194:{3,4,6}:{(172,1),(174,1),(213,1),(214,1)}
       195:{2,4,5}:{(172,1),(175,1),(214,1),(215,1),(226,1)}
       196:{3,5,7}:{(173,1),(174,1),(177,1),(213,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(182,1),(214,1),(216,1),(217,1)}
       198:{1,3,5}:{(175,1),(176,1),(183,1),(215,1),(218,1),(238,1)}
       199:{2,4,6}:{(176,1),(180,1),(218,1),(219,1),(221,1),(240,1)}
       200:{2,3,6,7}:{(177,1),(178,1),(185,1),(216,1),(220,1),(244,1)}
       201:{1,3,6}:{(178,1),(179,1),(186,1),(221,1)}
       202:{2,5,7}:{(179,1),(180,1),(218,1),(221,1)}
       203:{2,3,7}:{(180,1),(187,1),(219,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(185,1),(222,1)}
       205:{1,5,6}:{(182,1),(183,1),(186,1),(222,1)}
       206:{1,2,5}:{(183,1),(184,1),(192,1),(218,1),(223,1)}
       207:{1,3,6}:{(184,1),(187,1),(193,1),(219,1),(223,1)}
       208:{1,4,6,7}:{(185,1),(186,1),(220,1),(222,1),(236,1)}
       209:{2,4,7}:{(188,1),(189,1),(191,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(224,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(223,1),(225,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,4,6}:{(194,1),(195,1),(197,1),(227,1),(228,1)}
       215:{1,4,5}:{(195,1),(198,1),(228,1),(229,1),(234,1)}
       216:{2,3,5,7}:{(196,1),(197,1),(200,1),(204,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(205,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,5}:{(198,1),(199,1)}
       219:{2,3,6}:{(199,1),(203,1),(207,1),(232,1),(242,1)}
       220:{1,3,6,7}:{(200,1),(201,1),(208,1),(230,1),(233,1)}
       221:{2,6}:{(201,1),(202,1)}
       222:{1,5,7}:{(204,1),(205,1),(208,1)}
       223:{1,3,5}:{(206,1),(207,1),(212,1),(232,1),(234,1)}
       224:{3,7}:{(209,1),(211,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,4,6}:{(214,1),(215,1),(217,1),(236,1),(237,1)}
       229:{2,4,5}:{(215,1),(218,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(216,1),(217,1),(220,1),(222,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(217,1),(218,1),(221,1),(237,1),(239,1)}
       232:{2,3,5}:{(218,1),(219,1),(223,1),(238,1),(240,1)}
       233:{2,6,7}:{(220,1),(221,1),(239,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 768 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(35,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(35,1),(45,1),(88,1),(101,1),(102,1),(192,1),(279,1),(286,1),(303,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(63,1),(124,1),(153,1),(234,1),(325,1),(347,1)}
         3:{2,5,6,7}:{(11,1),(14,1),(16,1),(135,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(16,1),(17,1),(58,1),(60,1),(62,1),(135,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(15,1),(17,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(15,1),(21,1),(244,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(343,1),(361,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(62,1),(128,1),(144,1),(246,1),(335,1),(342,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(63,1),(71,1),(76,1),(129,1),(138,1),(142,1),(150,1),(156,1),(253,1),(259,1),(341,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(97,1),(163,1),(189,1),(203,1),(269,1),(297,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(183,1),(276,1),(401,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(92,1),(96,1),(171,1),(183,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(288,1),(399,1)}
        14:{3,5,6,7}:{(3,1),(33,1),(36,1),(94,1),(388,1),(479,1)}
        15:{3,4,6}:{(5,1),(6,1),(34,1),(35,1),(468,1)}
        16:{2,4,6,7}:{(3,1),(4,1),(30,1),(33,1),(36,1),(91,1),(393,1)}
        17:{3,5,7}:{(4,1),(5,1),(34,1),(36,1),(278,1)}
        18:{2,3,5,6}:{(5,1),(7,1),(32,1),(35,1),(37,1),(38,1),(45,1),(88,1),(109,1)}
        19:{1,3,4,5}:{(6,1),(29,1),(39,1),(44,1),(81,1),(103,1),(112,1),(166,1),(197,1),(272,1),(288,1)}
        20:{3,4,5,7}:{(6,1),(34,1),(42,1),(43,1),(94,1),(301,1),(390,1),(410,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(35,1),(44,1),(192,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(397,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(311,1),(316,1),(396,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(96,1),(107,1),(176,1),(185,1),(199,1),(205,1),(395,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(177,1),(190,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(235,1),(353,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(137,1),(220,1),(235,1),(349,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(138,1),(238,1),(351,1)}
        29:{1,3,4,6}:{(13,1),(15,1),(19,1),(51,1),(55,1),(56,1),(63,1),(124,1),(129,1),(138,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(16,1),(52,1),(57,1),(132,1),(347,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(17,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(343,1),(445,1)}
        33:{4,6,7}:{(14,1),(60,1),(437,1),(508,1)}
        34:{3,4,7}:{(15,1),(17,1),(62,1),(437,1)}
        35:{2,4,6}:{(15,1),(18,1),(21,1),(62,1),(63,1)}
        36:{3,6,7}:{(16,1),(17,1),(439,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(58,1),(62,1),(64,1),(65,1),(128,1),(135,1)}
        38:{1,3,5,6}:{(18,1),(23,1),(59,1),(63,1),(65,1),(66,1),(76,1),(129,1),(138,1),(153,1),(258,1)}
        39:{2,4,5}:{(19,1),(56,1),(67,1),(68,1),(146,1),(251,1),(343,1)}
        40:{1,2,4,6}:{(25,1),(69,1),(70,1),(71,1),(145,1),(148,1),(150,1),(227,1),(242,1),(253,1),(341,1)}
        41:{4,5,6}:{(60,1),(72,1),(454,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(62,1),(73,1),(74,1),(135,1),(246,1),(361,1)}
        44:{1,4,5}:{(21,1),(23,1),(63,1),(75,1),(150,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(445,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(443,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(228,1)}
        49:{2,3,6}:{(25,1),(71,1),(78,1),(79,1),(138,1),(243,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(292,1),(404,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(91,1),(297,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(185,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(88,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(34,1),(83,1),(89,1),(96,1),(171,1),(176,1),(185,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(39,1),(88,1),(89,1),(90,1),(177,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(36,1),(85,1),(91,1),(399,1)}
        58:{2,5,7}:{(31,1),(32,1),(89,1),(91,1),(92,1)}
        59:{1,5,6}:{(32,1),(90,1),(92,1),(396,1),(482,1)}
        60:{4,5,7}:{(33,1),(41,1),(94,1)}
        61:{3,4,6,7}:{(33,1),(34,1),(36,1),(42,1),(94,1),(95,1)}
        62:{2,4,7}:{(34,1),(35,1),(37,1),(96,1)}
        63:{1,4,6}:{(35,1),(38,1),(44,1),(96,1),(97,1),(315,1)}
        64:{2,3,6,7}:{(36,1),(37,1),(45,1),(91,1),(95,1),(98,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(92,1),(96,1),(98,1),(99,1),(176,1),(183,1),(185,1),(292,1)}
        66:{2,5,6}:{(38,1),(47,1),(97,1),(99,1),(113,1),(177,1)}
        67:{2,3,5}:{(39,1),(88,1),(101,1),(103,1),(112,1),(272,1)}
        68:{1,4,5}:{(39,1),(90,1),(103,1),(308,1),(396,1)}
        69:{1,2,5}:{(40,1),(47,1),(106,1),(194,1),(311,1),(396,1)}
        70:{1,2,4,7}:{(40,1),(48,1),(105,1),(107,1),(193,1),(199,1),(283,1),(395,1)}
        71:{1,3,6}:{(40,1),(49,1),(102,1),(106,1),(107,1),(299,1)}
        72:{3,5,6}:{(41,1),(42,1),(94,1),(109,1),(410,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(96,1),(110,1),(111,1),(183,1),(199,1),(311,1)}
        75:{2,4,5}:{(44,1),(47,1),(97,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(482,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(106,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(107,1),(185,1)}
        80:{2,3,4,6}:{(49,1),(108,1),(115,1),(116,1),(117,1),(186,1),(207,1),(209,1),(210,1),(286,1),(300,1),(409,1)}
        81:{3,4,5}:{(51,1),(119,1),(238,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(349,1),(449,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(349,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(351,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(128,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(129,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,6}:{(56,1),(67,1),(128,1),(129,1),(138,1),(223,1)}
        89:{2,4,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(228,1)}
        90:{1,4,6}:{(56,1),(59,1),(68,1),(129,1),(130,1)}
        91:{2,6,7}:{(57,1),(58,1),(132,1),(445,1)}
        92:{1,5,7}:{(58,1),(59,1),(130,1),(132,1)}
        93:{1,2,5,6}:{(59,1),(66,1),(69,1),(127,1),(131,1),(133,1),(134,1),(148,1),(227,1),(249,1),(321,1),(343,1),(421,1),(444,1),(445,1),(504,1)}
        94:{3,5,7}:{(60,1),(61,1),(72,1),(135,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(135,1),(136,1)}
        96:{1,4,7}:{(62,1),(63,1),(65,1),(137,1),(349,1)}
        97:{2,4,6}:{(63,1),(66,1),(75,1),(137,1),(138,1)}
        98:{1,3,6,7}:{(64,1),(65,1),(76,1),(132,1),(136,1),(139,1),(236,1)}
        99:{2,5,7}:{(65,1),(66,1),(137,1),(139,1),(228,1)}
       100:{2,3,5,6}:{(66,1),(78,1),(134,1),(138,1),(140,1),(141,1),(157,1),(229,1),(238,1),(258,1),(262,1),(343,1),(351,1),(353,1),(420,1),(445,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       101:{2,3,4}:{(67,1),(142,1),(156,1),(251,1),(328,1),(355,1)}
       102:{2,3,6}:{(71,1),(143,1),(144,1),(145,1),(355,1),(360,1)}
       103:{1,3,5}:{(67,1),(68,1),(129,1),(142,1),(146,1)}
       104:{1,2,4,5}:{(68,1),(69,1),(75,1),(131,1),(146,1),(147,1),(150,1),(217,1),(234,1),(242,1),(247,1),(251,1),(321,1),(343,1),(365,1),(423,1),(451,1),(493,1)}
       105:{1,2,5,7}:{(69,1),(70,1),(77,1),(148,1),(149,1),(248,1),(443,1)}
       106:{1,3,5}:{(69,1),(71,1),(78,1),(143,1),(150,1)}
       107:{1,3,7}:{(70,1),(71,1),(79,1),(144,1)}
       108:{1,3,4,6}:{(71,1),(80,1),(145,1),(150,1),(151,1),(152,1),(244,1),(253,1),(255,1),(256,1),(341,1),(356,1),(358,1),(360,1),(452,1)}
       109:{2,5,6}:{(72,1),(73,1),(135,1),(153,1),(361,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(137,1),(154,1),(155,1),(158,1),(235,1),(262,1),(349,1),(370,1)}
       112:{3,5}:{(75,1),(138,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(149,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(150,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(151,1),(158,1),(160,1),(237,1),(264,1),(342,1),(453,1)}
       117:{2,3,5}:{(80,1),(152,1),(159,1),(238,1),(262,1),(343,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(294,1),(403,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(101,1),(162,1),(167,1),(168,1),(186,1),(266,1),(286,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(91,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(92,1),(171,1),(173,1),(174,1),(176,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(177,1),(268,1),(376,1)}
       128:{2,3,7}:{(88,1),(89,1),(176,1),(185,1),(278,1)}
       129:{1,3,6}:{(88,1),(90,1),(103,1),(176,1),(177,1)}
       130:{1,4,7}:{(89,1),(90,1),(92,1),(176,1)}
       131:{1,2,4,6}:{(90,1),(93,1),(97,1),(104,1),(172,1),(177,1),(178,1),(179,1),(182,1),(286,1),(305,1),(415,1),(486,1),(517,1)}
       132:{1,6,7}:{(91,1),(92,1),(482,1)}
       133:{1,2,5,7}:{(92,1),(93,1),(99,1),(174,1),(178,1),(180,1),(181,1),(283,1),(307,1),(397,1),(483,1),(526,1)}
       134:{1,3,5,6}:{(93,1),(100,1),(106,1),(175,1),(179,1),(181,1),(182,1),(198,1),(284,1),(288,1),(311,1),(375,1),(396,1),(399,1),(401,1),(462,1),(482,1),(518,1)}
       135:{2,5,7}:{(94,1),(95,1),(109,1),(183,1)}
       136:{1,4,6,7}:{(95,1),(96,1),(98,1),(110,1),(183,1),(184,1)}
       137:{2,4,7}:{(96,1),(97,1),(99,1),(185,1)}
       138:{3,6}:{(97,1),(112,1),(185,1)}
       139:{2,6,7}:{(98,1),(99,1),(113,1)}
       140:{2,3,5,7}:{(99,1),(100,1),(181,1),(185,1),(187,1),(188,1),(285,1),(292,1),(294,1),(296,1),(397,1),(526,1),(542,1),(551,1)}
       141:{2,4,6}:{(100,1),(115,1),(182,1),(186,1),(188,1),(189,1),(315,1),(461,1),(550,1)}
       142:{1,3,4}:{(101,1),(103,1),(190,1),(299,1),(308,1)}
       143:{2,3,5}:{(102,1),(106,1),(192,1),(194,1),(302,1)}
       144:{2,3,7}:{(102,1),(107,1),(193,1),(412,1)}
       145:{2,4,6}:{(102,1),(108,1),(192,1),(193,1),(194,1),(306,1),(407,1),(486,1)}
       146:{2,5}:{(103,1),(177,1),(190,1)}
       147:{1,3,5}:{(104,1),(112,1),(179,1),(196,1),(197,1),(272,1),(299,1),(302,1),(514,1)}
       148:{1,2,6}:{(105,1),(113,1),(198,1),(306,1),(482,1)}
       149:{1,3,5,7}:{(105,1),(106,1),(107,1),(114,1),(191,1),(198,1),(199,1),(311,1)}
       150:{1,4}:{(106,1),(115,1),(192,1)}
       151:{1,3,4,7}:{(107,1),(108,1),(116,1),(193,1),(199,1),(201,1),(301,1),(313,1),(395,1),(412,1),(487,1)}
       152:{1,3,5}:{(108,1),(117,1),(194,1),(200,1),(302,1),(311,1),(396,1),(410,1)}
       153:{1,5,6}:{(109,1),(110,1),(183,1),(203,1),(311,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(185,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(198,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(199,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(200,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(201,1),(208,1),(210,1),(294,1),(397,1)}
       161:{2,3,5,6}:{(117,1),(202,1),(209,1),(210,1),(211,1),(295,1),(319,1),(398,1),(409,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(238,1),(343,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(449,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(351,1),(449,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(128,1),(212,1),(218,1),(237,1),(342,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(129,1),(142,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(341,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(132,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(228,1)}
       175:{2,3,5,6}:{(127,1),(134,1),(143,1),(223,1),(225,1),(226,1),(229,1),(245,1),(249,1),(324,1),(336,1),(343,1),(360,1),(361,1),(424,1),(427,1),(439,1),(441,1),(445,1),(455,1),(497,1)}
       176:{1,3,7}:{(128,1),(129,1),(130,1),(228,1)}
       177:{2,6}:{(129,1),(146,1),(228,1)}
       178:{1,2,4,7}:{(130,1),(131,1),(133,1),(137,1),(222,1),(228,1),(230,1),(233,1),(342,1),(363,1),(458,1),(511,1),(534,1)}
       179:{1,3,6}:{(131,1),(138,1),(147,1),(223,1),(229,1),(230,1),(360,1),(531,1)}
       180:{1,2,6,7}:{(132,1),(133,1),(139,1),(148,1),(224,1),(232,1),(364,1),(421,1),(445,1),(510,1),(539,1)}
       181:{1,3,5,7}:{(133,1),(134,1),(140,1),(225,1),(230,1),(232,1),(233,1),(340,1),(346,1),(443,1)}
       182:{1,4,6}:{(134,1),(141,1),(150,1),(226,1),(233,1),(234,1),(423,1)}
       183:{1,5,7}:{(135,1),(136,1),(153,1),(235,1)}
       184:{2,4,6,7}:{(136,1),(137,1),(139,1),(154,1),(235,1),(236,1),(349,1)}
       185:{3,7}:{(137,1),(138,1)}
       186:{3,4,6}:{(138,1),(141,1),(156,1),(237,1),(238,1),(351,1),(490,1),(531,1)}
       187:{2,3,6,7}:{(139,1),(140,1),(157,1),(232,1),(236,1),(239,1),(351,1),(445,1),(491,1),(539,1),(548,1)}
       188:{2,4,7}:{(140,1),(141,1),(233,1),(237,1),(349,1),(552,1)}
       189:{2,4,5}:{(141,1),(234,1),(238,1),(262,1),(343,1),(370,1),(532,1),(546,1)}
       190:{2,4}:{(142,1),(146,1),(243,1)}
       191:{2,3,5,7}:{(143,1),(144,1),(149,1),(245,1),(246,1),(248,1),(359,1),(361,1)}
       192:{2,4}:{(143,1),(150,1),(244,1)}
       193:{2,4,7}:{(144,1),(145,1),(151,1),(248,1),(511,1)}
       194:{2,5}:{(145,1),(152,1)}
       195:{1,2,5}:{(146,1),(227,1),(242,1),(250,1),(451,1)}
       196:{2,3,5}:{(146,1),(147,1),(229,1),(243,1),(250,1),(251,1),(343,1),(355,1),(451,1)}
       197:{1,3,4}:{(147,1),(150,1),(156,1),(244,1),(251,1),(328,1),(423,1),(490,1)}
       198:{1,3,6}:{(148,1),(149,1),(157,1),(245,1),(253,1)}
       199:{1,4,7}:{(149,1),(150,1),(158,1),(246,1),(253,1)}
       200:{1,4,5}:{(150,1),(152,1),(159,1),(247,1),(255,1),(454,1)}
       201:{1,3,5,7}:{(151,1),(152,1),(160,1),(248,1),(254,1),(256,1),(359,1),(443,1)}
       202:{1,3,5,6}:{(152,1),(161,1),(249,1),(255,1),(256,1),(257,1),(360,1),(368,1),(444,1),(452,1),(455,1)}
       203:{2,5,6}:{(153,1),(154,1),(235,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(349,1)}
       206:{3,4,5}:{(156,1),(159,1),(238,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(253,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(254,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(255,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(256,1),(263,1),(351,1),(445,1)}
       211:{2,3,5,7}:{(161,1),(257,1),(264,1),(265,1),(352,1),(373,1),(446,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(294,1),(397,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(396,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(176,1),(267,1),(274,1),(278,1),(381,1),(384,1),(395,1),(463,1)}
       219:{2,4,6}:{(168,1),(177,1),(190,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(181,1),(278,1),(280,1),(281,1),(285,1),(307,1),(388,1),(390,1),(392,1),(397,1),(412,1),(489,1)}
       226:{2,4,6}:{(175,1),(182,1),(192,1),(279,1),(281,1),(282,1),(378,1),(468,1),(488,1)}
       227:{1,2,6}:{(177,1),(195,1),(283,1),(284,1),(486,1)}
       228:{2,7}:{(176,1),(177,1)}
       229:{2,3,6}:{(177,1),(179,1),(196,1),(284,1),(285,1),(286,1),(486,1)}
       230:{1,3,7}:{(178,1),(179,1),(185,1),(278,1),(285,1),(412,1),(542,1)}
       231:{1,3,4,6}:{(179,1),(182,1),(186,1),(197,1),(279,1),(286,1),(287,1),(288,1),(399,1)}
       232:{1,3,6,7}:{(180,1),(181,1),(187,1),(198,1),(280,1),(289,1),(399,1),(462,1),(482,1)}
       233:{1,4,7}:{(181,1),(182,1),(188,1),(281,1)}
       234:{1,4,5}:{(182,1),(189,1),(282,1),(288,1),(311,1),(396,1),(518,1)}
       235:{2,5,7}:{(183,1),(184,1),(203,1),(292,1)}
       236:{3,6,7}:{(184,1),(185,1),(204,1),(292,1)}
       237:{3,4,7}:{(185,1),(186,1),(188,1),(294,1),(542,1)}
       238:{3,5}:{(186,1),(189,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(207,1),(289,1),(293,1),(296,1),(297,1),(515,1)}
       240:{2,4,5,7}:{(188,1),(189,1),(290,1),(294,1),(296,1),(297,1),(397,1),(403,1)}
       241:{2,4,5,6}:{(189,1),(209,1),(291,1),(295,1),(297,1),(298,1),(319,1),(398,1),(418,1),(517,1),(543,1),(550,1)}
       242:{1,2,4}:{(190,1),(195,1),(299,1),(308,1),(407,1)}
       243:{2,3}:{(190,1),(299,1)}
       244:{3,4}:{(192,1),(302,1)}
       245:{2,3,6}:{(191,1),(198,1),(303,1),(306,1),(411,1)}
       246:{2,4,7}:{(191,1),(192,1),(199,1),(301,1),(303,1)}
       247:{2,4,5}:{(192,1),(194,1),(200,1),(302,1),(305,1)}
       248:{2,5,7}:{(193,1),(194,1),(201,1),(306,1)}
       249:{2,5,6}:{(194,1),(202,1),(305,1),(306,1),(307,1),(486,1)}
       250:{1,3,5}:{(195,1),(196,1),(284,1),(299,1),(308,1),(396,1)}
       251:{2,4}:{(196,1),(197,1),(308,1)}
       252:{1,3,4,5}:{(197,1),(200,1),(206,1),(288,1),(302,1),(309,1),(310,1),(382,1),(408,1),(464,1),(514,1)}
       253:{1,4,6}:{(198,1),(199,1),(207,1),(303,1),(311,1)}
       254:{1,4,5,7}:{(199,1),(200,1),(201,1),(208,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       255:{1,4,6}:{(200,1),(202,1),(209,1),(305,1),(313,1),(488,1)}
       256:{1,3,6}:{(201,1),(210,1),(306,1),(312,1),(411,1),(482,1)}
       257:{1,3,5,7}:{(202,1),(211,1),(307,1),(313,1),(314,1),(412,1),(417,1),(483,1),(487,1),(489,1)}
       258:{3,5,6}:{(203,1),(204,1),(292,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(294,1),(316,1),(317,1),(318,1),(403,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(295,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(311,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(312,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(313,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(314,1),(320,1),(405,1),(484,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(351,1),(445,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(443,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(242,1),(321,1),(329,1),(330,1),(341,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(228,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(243,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(244,1),(328,1),(335,1),(336,1),(360,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(232,1),(245,1),(334,1),(337,1),(364,1),(424,1),(439,1),(445,1),(456,1)}
       281:{2,4,7}:{(225,1),(226,1),(233,1),(335,1),(437,1),(512,1)}
       282:{2,4,5}:{(226,1),(234,1),(336,1),(343,1),(361,1),(454,1),(497,1),(500,1)}
       283:{1,2,7}:{(227,1),(228,1),(340,1),(511,1)}
       284:{1,3,6}:{(227,1),(229,1),(250,1),(340,1),(341,1)}
       285:{2,3,7}:{(228,1),(229,1),(230,1),(340,1),(342,1),(511,1)}
       286:{2,4,6}:{(229,1),(231,1),(251,1),(341,1),(342,1),(343,1),(445,1)}
       287:{1,3,4,7}:{(230,1),(231,1),(233,1),(237,1),(335,1),(342,1),(344,1)}
       288:{1,3,5}:{(231,1),(234,1),(238,1),(336,1),(343,1)}
       289:{1,4,6,7}:{(232,1),(233,1),(239,1),(253,1),(337,1),(346,1),(347,1),(494,1)}
       290:{1,4,5,7}:{(233,1),(234,1),(240,1),(338,1),(344,1),(346,1),(347,1),(443,1)}
       291:{1,4,5,6}:{(234,1),(241,1),(255,1),(339,1),(345,1),(347,1),(348,1),(368,1),(444,1),(496,1),(535,1)}
       292:{3,5,7}:{(235,1),(236,1),(258,1),(349,1)}
       293:{3,4,6,7}:{(236,1),(237,1),(239,1),(259,1),(349,1),(350,1),(351,1),(449,1),(529,1),(548,1),(552,1)}
       294:{3,5,7}:{(237,1),(238,1),(240,1),(351,1)}
       295:{3,5,6}:{(238,1),(241,1),(261,1),(351,1),(352,1),(531,1)}
       296:{2,5,7}:{(239,1),(262,1),(346,1),(350,1),(353,1),(532,1)}
       297:{2,4,6}:{(240,1),(347,1),(351,1),(353,1),(445,1),(449,1)}
       298:{2,4,5,7}:{(241,1),(264,1),(348,1),(352,1),(354,1),(373,1),(446,1),(459,1),(534,1),(549,1),(552,1)}
       299:{1,3}:{(242,1),(243,1),(355,1)}
       300:{2,3,4}:{(243,1),(244,1),(251,1),(356,1),(357,1),(490,1)}
       301:{3,4,7}:{(244,1),(246,1),(358,1),(359,1),(512,1)}
       302:{3,5}:{(244,1),(247,1),(360,1)}
       303:{2,4,6}:{(245,1),(246,1),(253,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(359,1),(361,1),(362,1),(363,1),(454,1),(457,1),(512,1)}
       305:{2,4,6}:{(247,1),(249,1),(255,1),(360,1),(363,1)}
       306:{2,6}:{(248,1),(256,1)}
       307:{2,5,7}:{(249,1),(257,1),(363,1),(364,1),(511,1)}
       308:{1,4}:{(250,1),(251,1)}
       309:{2,4,5}:{(251,1),(252,1),(343,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(252,1),(255,1),(261,1),(345,1),(360,1),(366,1),(367,1),(430,1),(452,1),(496,1),(531,1)}
       311:{1,5}:{(253,1),(262,1),(361,1)}
       312:{1,4,6}:{(254,1),(256,1),(263,1),(362,1),(368,1)}
       313:{1,4,7}:{(255,1),(257,1),(264,1),(363,1),(512,1)}
       314:{1,3,6,7}:{(256,1),(257,1),(265,1),(364,1),(369,1),(456,1),(510,1)}
       315:{4,6}:{(258,1),(349,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(351,1),(371,1),(449,1)}
       318:{3,4,7}:{(261,1),(264,1),(352,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(368,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(369,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(396,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(482,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(283,1),(374,1),(384,1),(395,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(299,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(286,1),(300,1),(378,1),(385,1),(386,1),(387,1),(409,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(412,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(289,1),(303,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(290,1),(390,1),(392,1),(393,1),(397,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(291,1),(305,1),(391,1),(393,1),(394,1),(398,1),(413,1),(467,1),(488,1),(521,1),(523,1)}
       340:{1,3,7}:{(283,1),(284,1),(285,1),(395,1)}
       341:{1,4,6}:{(284,1),(286,1),(308,1),(395,1),(396,1),(482,1)}
       342:{2,4,7}:{(285,1),(286,1),(287,1),(395,1),(397,1)}
       343:{2,5}:{(286,1),(288,1),(396,1)}
       344:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(390,1),(397,1),(399,1)}
       345:{1,3,5,6}:{(288,1),(291,1),(295,1),(310,1),(391,1),(398,1),(399,1),(400,1)}
       346:{1,5,7}:{(289,1),(296,1),(311,1),(392,1),(401,1),(518,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(399,1),(401,1),(482,1)}
       348:{1,4,5,7}:{(291,1),(298,1),(313,1),(394,1),(400,1),(402,1),(417,1),(483,1),(520,1),(545,1)}
       349:{4,7}:{(292,1),(315,1)}
       350:{3,5,7}:{(293,1),(296,1),(316,1),(403,1),(404,1),(540,1)}
       351:{3,6}:{(294,1),(297,1)}
       352:{3,5,7}:{(295,1),(298,1),(318,1),(405,1),(542,1)}
       353:{2,5,6}:{(296,1),(297,1),(401,1),(404,1)}
       354:{2,4,6,7}:{(297,1),(298,1),(402,1),(405,1),(406,1),(484,1),(485,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(302,1),(309,1),(408,1),(409,1),(514,1)}
       358:{3,4,6}:{(301,1),(303,1),(410,1),(411,1),(488,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,6}:{(302,1),(305,1),(412,1)}
       361:{2,5}:{(303,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(306,1),(312,1),(411,1),(413,1),(488,1)}
       363:{2,4,7}:{(305,1),(307,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(396,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(398,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(313,1),(318,1),(400,1),(412,1),(416,1),(471,1),(487,1),(520,1),(542,1)}
       368:{1,5,6}:{(311,1),(312,1),(319,1),(413,1),(417,1)}
       369:{1,4,6,7}:{(312,1),(313,1),(314,1),(320,1),(414,1),(417,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(405,1),(419,1),(485,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(443,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(454,1)}
       383:{2,3,6}:{(330,1),(355,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(356,1),(423,1),(432,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(342,1),(425,1),(433,1),(435,1),(453,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(343,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(358,1),(428,1),(437,1),(438,1),(439,1),(456,1),(508,1),(512,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(360,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(361,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(347,1),(439,1),(441,1),(445,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(363,1),(440,1),(442,1),(446,1),(457,1),(499,1),(512,1),(537,1),(538,1)}
       395:{1,4,7}:{(340,1),(341,1),(342,1),(443,1)}
       396:{1,5}:{(341,1),(343,1)}
       397:{2,5,7}:{(342,1),(343,1),(344,1),(443,1),(445,1)}
       398:{2,5,6}:{(343,1),(345,1),(366,1),(444,1),(445,1),(446,1)}
       399:{1,3,6}:{(344,1),(347,1),(351,1),(439,1),(445,1)}
       400:{1,3,5,7}:{(345,1),(348,1),(352,1),(367,1),(440,1),(446,1),(447,1)}
       401:{1,5,6}:{(346,1),(347,1),(353,1),(441,1)}
       402:{1,4,6,7}:{(347,1),(348,1),(354,1),(442,1),(447,1),(448,1),(510,1)}
       403:{4,5,7}:{(349,1),(350,1),(370,1),(449,1),(546,1),(552,1)}
       404:{3,5,6}:{(350,1),(351,1),(353,1),(449,1)}
       405:{3,6,7}:{(351,1),(352,1),(354,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(450,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(360,1),(366,1),(452,1),(453,1),(531,1)}
       410:{3,5}:{(358,1),(361,1),(454,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,7}:{(360,1),(363,1)}
       413:{2,5,6}:{(361,1),(362,1),(368,1),(455,1),(457,1)}
       414:{2,4,6,7}:{(362,1),(363,1),(364,1),(369,1),(456,1),(457,1),(512,1)}
       415:{1,4,6}:{(365,1),(366,1),(444,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(446,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{4,5,6}:{(370,1),(371,1),(449,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(482,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(488,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(407,1),(461,1),(472,1),(473,1),(486,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(395,1),(463,1),(472,1),(474,1),(487,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(396,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(397,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(398,1),(409,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(410,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(412,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(401,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(402,1),(480,1),(481,1),(484,1),(528,1)}
       443:{1,5,7}:{(395,1),(396,1),(397,1),(482,1)}
       444:{1,5,6}:{(396,1),(398,1),(415,1),(482,1),(483,1)}
       445:{2,6}:{(397,1),(399,1),(482,1)}
       446:{2,5,7}:{(398,1),(400,1),(416,1),(483,1),(484,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(402,1),(405,1),(480,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{4,6}:{(403,1),(404,1)}
       450:{3,5,6,7}:{(404,1),(405,1),(406,1),(419,1),(485,1),(551,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(412,1),(416,1),(487,1),(542,1)}
       454:{4,5}:{(410,1),(488,1)}
       455:{3,5,6}:{(410,1),(411,1),(413,1),(488,1),(489,1)}
       456:{3,6,7}:{(411,1),(412,1),(414,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(489,1)}
       458:{1,4,7}:{(415,1),(416,1),(483,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(512,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(511,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(443,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(452,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(445,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(446,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(454,1),(500,1),(508,1),(512,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(509,1),(537,1)}
       482:{1,6}:{(443,1),(445,1)}
       483:{1,5,7}:{(444,1),(446,1),(458,1),(510,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{4,6}:{(454,1),(455,1),(512,1)}
       489:{3,5,7}:{(455,1),(456,1),(457,1),(512,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(486,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(482,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(489,1),(524,1),(528,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(511,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 769 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(74,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(5,1),(6,1),(105,1),(121,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(12,1),(58,1),(118,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(92,1),(117,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(67,1),(91,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(16,1),(17,1),(69,1),(74,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(21,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(44,1),(110,1),(111,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(77,1),(109,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(23,1),(24,1)}
        14:{3,5,6,7}:{(6,1),(24,1),(25,1),(121,1)}
        15:{1,3,4,5}:{(7,1),(16,1),(26,1),(47,1),(51,1),(76,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(15,1),(27,1),(28,1),(33,1),(53,1),(58,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(28,1),(86,1),(92,1)}
        18:{2,5,6}:{(9,1),(27,1),(31,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(28,1),(31,1),(32,1),(34,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(32,1)}
        21:{3,5,6}:{(11,1),(33,1),(34,1)}
        22:{2,4,5,7}:{(11,1),(12,1),(31,1),(34,1),(35,1),(62,1),(97,1),(99,1)}
        23:{1,4,6,7}:{(12,1),(13,1),(32,1),(35,1),(36,1)}
        24:{2,5,6,7}:{(13,1),(14,1),(36,1),(117,1)}
        25:{4,5,6,7}:{(14,1),(124,1)}
        26:{2,4,5}:{(15,1),(27,1),(38,1)}
        27:{2,4,6}:{(16,1),(18,1),(26,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(16,1),(17,1),(19,1),(41,1),(48,1),(71,1),(77,1)}
        29:{1,2,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1),(119,1)}
        30:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(44,1),(45,1),(72,1),(103,1),(110,1)}
        31:{2,5,7}:{(18,1),(19,1),(41,1),(46,1)}
        32:{1,3,6,7}:{(19,1),(20,1),(23,1),(46,1),(49,1)}
        33:{3,4,6}:{(21,1),(44,1),(47,1),(48,1)}
        34:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        35:{2,4,6,7}:{(22,1),(23,1),(46,1),(49,1),(50,1),(83,1)}
        36:{1,5,6,7}:{(23,1),(24,1),(50,1),(109,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(76,1),(84,1),(100,1)}
        38:{2,3,5}:{(26,1),(40,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(37,1),(53,1),(54,1),(58,1),(85,1)}
        40:{2,3,6}:{(27,1),(38,1),(53,1),(56,1)}
        41:{2,4,7}:{(27,1),(28,1),(31,1),(56,1)}
        42:{1,3,5,6}:{(29,1),(30,1),(53,1),(57,1),(58,1),(59,1),(87,1),(113,1),(118,1)}
        43:{1,2,5,7}:{(29,1),(31,1),(54,1),(59,1),(60,1),(112,1)}
        44:{2,4,6}:{(30,1),(33,1),(58,1),(61,1),(62,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(34,1),(56,1),(59,1),(62,1),(63,1),(97,1)}
        46:{2,6,7}:{(31,1),(32,1)}
        47:{3,4,5}:{(33,1),(61,1)}
        48:{3,4,7}:{(33,1),(34,1),(62,1)}
        49:{3,6,7}:{(34,1),(35,1)}
        50:{2,5,6,7}:{(35,1),(36,1),(66,1),(97,1)}
        51:{1,3,5}:{(37,1),(38,1),(53,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,3,6}:{(39,1),(40,1),(51,1),(69,1),(71,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(43,1),(71,1),(77,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(44,1),(52,1),(70,1),(72,1),(73,1),(103,1)}
        56:{2,3,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(69,1),(74,1),(75,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        58:{1,4,6}:{(42,1),(44,1),(74,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(71,1),(75,1),(77,1),(78,1),(109,1)}
        60:{1,2,6,7}:{(43,1),(46,1),(78,1),(119,1)}
        61:{2,4,5}:{(44,1),(47,1),(72,1),(76,1)}
        62:{2,4,7}:{(44,1),(45,1),(48,1),(77,1)}
        63:{2,3,6,7}:{(45,1),(46,1),(49,1),(78,1),(80,1),(103,1)}
        64:{3,4,5,7}:{(47,1),(48,1),(79,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(80,1),(81,1),(82,1),(83,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(100,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(53,1),(67,1),(85,1),(86,1)}
        70:{1,3,4,6}:{(53,1),(55,1),(58,1),(68,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        71:{1,3,7}:{(53,1),(54,1),(56,1),(86,1)}
        72:{2,3,5}:{(55,1),(61,1),(87,1)}
        73:{2,3,4,7}:{(55,1),(56,1),(62,1),(88,1),(89,1)}
        74:{2,4,6}:{(57,1),(58,1),(90,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(57,1),(59,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        76:{1,4,5}:{(58,1),(61,1),(87,1),(91,1)}
        77:{1,4,7}:{(58,1),(59,1),(62,1),(92,1)}
        78:{1,3,6,7}:{(59,1),(60,1),(63,1),(93,1),(95,1),(113,1)}
        79:{2,4,5,7}:{(61,1),(62,1),(64,1),(89,1),(94,1),(96,1),(97,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        81:{3,4,6}:{(64,1),(96,1),(98,1)}
        82:{3,5,7}:{(65,1),(97,1),(98,1),(99,1)}
        83:{4,6,7}:{(66,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,4,6}:{(69,1),(70,1),(84,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,5}:{(70,1),(72,1),(76,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(70,1),(71,1),(73,1),(77,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(79,1),(102,1),(103,1)}
        90:{3,4,6}:{(74,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(74,1),(76,1),(100,1),(104,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(105,1)}
        93:{2,3,6,7}:{(75,1),(78,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(76,1),(77,1),(79,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(77,1),(78,1),(80,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(79,1),(81,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(80,1),(82,1),(109,1),(110,1)}
        98:{3,5,6}:{(81,1),(82,1),(110,1),(111,1)}
        99:{4,5,7}:{(82,1),(83,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 770 :   0:{3,5,6,7}:{(2,1),(3,1),(22,1),(23,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(23,1),(32,1),(64,1),(231,1),(334,1),(408,1),(412,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(42,1),(265,1),(370,1)}
         3:{4,6,7}:{(0,1),(10,1),(364,1),(446,1)}
         4:{4,5,6}:{(10,1),(14,1),(381,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(451,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(15,1),(16,1),(42,1),(55,1),(94,1),(185,1),(287,1)}
         7:{2,3,4,7}:{(13,1),(17,1),(18,1),(94,1),(112,1),(171,1),(185,1),(368,1),(372,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(67,1),(214,1),(327,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(63,1),(413,1)}
        10:{4,5,7}:{(3,1),(4,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(24,1),(64,1)}
        12:{2,4,5,6}:{(4,1),(21,1),(25,1),(26,1),(29,1),(71,1),(73,1),(233,1),(314,1),(339,1),(404,1),(413,1)}
        13:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1),(33,1),(412,1),(416,1)}
        14:{3,5,6}:{(4,1),(5,1),(23,1),(29,1),(334,1)}
        15:{2,4,6}:{(5,1),(6,1),(27,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(28,1),(30,1),(31,1),(67,1),(83,1),(131,1),(144,1),(240,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1),(73,1),(140,1),(152,1),(153,1),(235,1),(249,1),(338,1),(343,1)}
        18:{1,3,4,7}:{(7,1),(28,1),(34,1),(35,1),(79,1),(82,1),(131,1),(144,1),(220,1),(224,1),(415,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(97,1),(166,1),(277,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(38,1),(39,1),(93,1),(374,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(12,1),(38,1),(40,1),(42,1),(92,1),(94,1),(265,1),(268,1),(364,1)}
        22:{3,6,7}:{(9,1),(40,1),(451,1)}
        23:{3,5,7}:{(10,1),(11,1),(14,1),(42,1)}
        24:{2,4,6,7}:{(11,1),(15,1),(41,1),(42,1),(43,1),(94,1)}
        25:{1,4,5,6}:{(12,1),(38,1),(44,1),(45,1),(50,1),(102,1),(105,1),(182,1),(262,1),(292,1),(374,1)}
        26:{3,5,6}:{(12,1),(40,1),(46,1),(285,1),(386,1),(451,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1),(451,1),(454,1)}
        28:{1,3,5,7}:{(13,1),(16,1),(18,1),(48,1),(49,1),(52,1),(56,1),(453,1)}
        29:{2,5,6}:{(14,1),(15,1),(42,1),(50,1),(287,1)}
        30:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(49,1),(51,1),(52,1),(97,1),(108,1),(118,1),(175,1),(178,1),(193,1),(195,1)}
        32:{3,4,5}:{(46,1),(55,1),(301,1),(386,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(287,1),(386,1),(390,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(48,1),(56,1),(57,1),(105,1),(110,1),(116,1),(186,1),(189,1),(191,1),(198,1),(204,1),(207,1),(389,1)}
        35:{2,4,7}:{(18,1),(49,1),(57,1),(58,1),(271,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(134,1),(228,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(63,1),(329,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(67,1),(129,1),(131,1),(214,1),(217,1)}
        39:{1,3,6,7}:{(20,1),(22,1),(61,1),(62,1),(63,1),(417,1)}
        40:{3,5,7}:{(21,1),(22,1),(26,1),(64,1),(320,1)}
        41:{2,3,6,7}:{(22,1),(24,1),(27,1),(63,1),(65,1),(66,1)}
        42:{2,5,7}:{(23,1),(24,1),(29,1),(67,1)}
        43:{1,4,6,7}:{(24,1),(30,1),(66,1),(67,1),(68,1),(131,1)}
        44:{2,4,5,6}:{(25,1),(60,1),(69,1),(71,1),(77,1),(122,1),(137,1),(145,1),(149,1),(212,1),(243,1),(329,1)}
        45:{1,3,5,6}:{(25,1),(26,1),(62,1),(69,1),(70,1),(71,1),(344,1),(417,1)}
        46:{3,4,6}:{(26,1),(32,1),(64,1),(73,1),(404,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(29,1),(33,1),(65,1),(71,1),(73,1),(74,1),(140,1)}
        48:{1,3,6}:{(27,1),(28,1),(30,1),(75,1),(78,1),(484,1)}
        49:{2,5,7}:{(28,1),(35,1),(75,1),(84,1)}
        50:{1,5,6}:{(29,1),(30,1),(67,1),(77,1),(240,1)}
        51:{2,4,6}:{(30,1),(31,1),(75,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(224,1)}
        53:{1,3,4,5}:{(32,1),(70,1),(80,1),(83,1),(136,1),(155,1),(160,1),(230,1),(254,1),(333,1),(344,1)}
        54:{1,2,4,7}:{(35,1),(72,1),(81,1),(82,1),(144,1),(154,1),(323,1),(415,1)}
        55:{2,4,5}:{(32,1),(33,1),(73,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(240,1),(430,1)}
        57:{2,4,6}:{(34,1),(35,1),(75,1),(84,1),(85,1),(161,1),(237,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(224,1)}
        59:{4,6,7}:{(36,1),(87,1),(178,1),(278,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(44,1),(87,1),(89,1),(92,1),(97,1),(166,1),(168,1),(175,1),(178,1)}
        61:{3,6,7}:{(37,1),(89,1),(376,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(45,1),(89,1),(91,1),(92,1)}
        63:{2,6,7}:{(39,1),(92,1),(93,1),(454,1)}
        64:{3,4,7}:{(40,1),(46,1),(94,1),(364,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(92,1),(94,1),(95,1),(171,1)}
        66:{1,3,6,7}:{(41,1),(43,1),(48,1),(93,1),(95,1),(96,1),(98,1)}
        67:{1,5,7}:{(42,1),(43,1),(50,1),(97,1)}
        68:{2,4,6,7}:{(43,1),(51,1),(96,1),(97,1),(98,1),(175,1),(178,1)}
        69:{3,5,6}:{(44,1),(89,1),(99,1),(191,1),(295,1),(376,1)}
        70:{1,3,4,6}:{(45,1),(46,1),(53,1),(91,1),(99,1),(101,1),(105,1),(182,1),(186,1),(191,1),(285,1)}
        71:{2,5,6}:{(45,1),(92,1),(101,1),(102,1),(390,1),(454,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(103,1),(104,1),(115,1),(201,1),(453,1)}
        73:{2,4,6}:{(46,1),(47,1),(55,1),(94,1),(105,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(50,1),(56,1),(95,1),(102,1),(105,1),(106,1),(109,1),(186,1),(191,1)}
        75:{2,6}:{(48,1),(49,1)}
        76:{2,3,5,7}:{(49,1),(52,1),(58,1),(104,1),(107,1),(108,1),(119,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(97,1),(109,1),(193,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(108,1),(110,1),(178,1),(207,1)}
        80:{2,4,5}:{(53,1),(101,1),(113,1),(114,1),(202,1),(306,1),(390,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(103,1),(115,1),(116,1),(189,1),(200,1),(204,1),(289,1),(299,1),(389,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(105,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(191,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(108,1),(117,1),(120,1),(121,1),(275,1),(311,1),(372,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(125,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(69,1),(125,1),(224,1)}
        90:{2,3,6,7}:{(61,1),(63,1),(124,1),(126,1),(127,1),(312,1)}
        91:{1,3,4,7}:{(62,1),(64,1),(70,1),(125,1),(128,1),(131,1),(217,1),(220,1),(224,1),(320,1)}
        92:{2,5,7}:{(62,1),(63,1),(71,1),(128,1),(129,1)}
        93:{1,6,7}:{(63,1),(129,1),(484,1)}
        94:{2,4,7}:{(64,1),(65,1),(73,1),(131,1)}
        95:{1,3,5,7}:{(65,1),(66,1),(67,1),(74,1),(129,1),(131,1),(132,1),(134,1),(220,1),(224,1)}
        96:{2,6,7}:{(66,1),(75,1),(132,1)}
        97:{2,5,7}:{(67,1),(68,1),(77,1),(134,1)}
        98:{3,6,7}:{(68,1),(78,1),(134,1),(224,1)}
        99:{3,4,6}:{(69,1),(125,1),(136,1),(137,1),(149,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(126,1),(137,1),(138,1),(140,1),(212,1),(229,1),(312,1)}
       101:{2,4,6}:{(70,1),(71,1),(80,1),(128,1),(140,1),(141,1),(237,1)}
       102:{1,5,6}:{(71,1),(129,1),(141,1),(430,1),(484,1)}
       103:{1,2,6}:{(72,1),(75,1),(143,1),(251,1),(484,1)}
       104:{1,3,5,7}:{(72,1),(76,1),(82,1),(139,1),(143,1),(144,1),(157,1),(240,1)}
       105:{1,4,6}:{(73,1),(74,1),(83,1),(131,1),(145,1),(149,1)}
       106:{2,5,6}:{(74,1),(75,1),(84,1),(132,1),(145,1),(237,1)}
       107:{2,3,6}:{(75,1),(76,1),(78,1),(143,1),(147,1)}
       108:{2,4,7}:{(76,1),(79,1),(144,1),(147,1),(161,1)}
       109:{3,5,6}:{(77,1),(78,1),(134,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(147,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(148,1),(150,1),(151,1),(227,1),(247,1),(258,1),(328,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(140,1),(152,1),(155,1),(160,1),(333,1)}
       114:{1,4,5}:{(80,1),(141,1),(155,1),(354,1),(430,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(240,1),(250,1),(430,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(144,1),(154,1),(158,1),(159,1),(231,1),(357,1),(415,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(145,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(147,1),(158,1),(161,1),(162,1),(163,1),(242,1),(259,1),(343,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(148,1),(159,1),(162,1),(163,1),(328,1),(416,1)}
       122:{4,5,6}:{(87,1),(164,1),(278,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(168,1),(261,1)}
       125:{3,4,7}:{(89,1),(99,1),(168,1),(178,1)}
       126:{2,3,5,7}:{(89,1),(90,1),(92,1),(100,1),(166,1),(168,1),(169,1),(171,1)}
       127:{1,3,6,7}:{(90,1),(93,1),(167,1),(169,1),(170,1),(266,1),(359,1)}
       128:{2,4,7}:{(91,1),(92,1),(101,1),(171,1),(172,1),(271,1)}
       129:{1,5,7}:{(92,1),(93,1),(102,1),(172,1)}
       130:{1,2,6,7}:{(93,1),(96,1),(103,1),(170,1),(173,1),(174,1),(304,1),(439,1),(454,1),(508,1),(537,1)}
       131:{1,4,7}:{(94,1),(95,1),(105,1),(175,1),(178,1)}
       132:{2,5,7}:{(95,1),(96,1),(106,1),(175,1),(271,1)}
       133:{2,3,6,7}:{(96,1),(98,1),(107,1),(174,1),(176,1),(177,1),(376,1),(454,1),(496,1),(537,1),(549,1)}
       134:{3,5,7}:{(97,1),(98,1),(109,1),(178,1)}
       135:{3,4,6,7}:{(98,1),(110,1),(177,1),(178,1),(179,1),(275,1),(278,1),(376,1),(530,1),(549,1),(552,1)}
       136:{3,4,5}:{(99,1),(180,1),(195,1),(295,1),(509,1)}
       137:{2,4,6}:{(99,1),(100,1),(168,1),(180,1),(182,1)}
       138:{1,3,5,6}:{(100,1),(102,1),(169,1),(182,1),(183,1),(186,1),(262,1),(280,1),(285,1),(359,1),(361,1)}
       139:{2,3,5,7}:{(104,1),(112,1),(184,1),(185,1),(199,1),(201,1),(283,1),(287,1)}
       140:{2,3,6}:{(101,1),(113,1),(171,1),(186,1),(191,1),(285,1)}
       141:{1,4,6}:{(101,1),(102,1),(114,1),(172,1),(186,1)}
       142:{1,2,5,6}:{(102,1),(103,1),(106,1),(115,1),(173,1),(183,1),(187,1),(188,1),(289,1),(303,1),(378,1),(390,1),(439,1),(454,1),(465,1),(513,1)}
       143:{1,3,6}:{(103,1),(104,1),(107,1),(184,1),(189,1)}
       144:{1,4,7}:{(104,1),(108,1),(185,1),(189,1),(204,1)}
       145:{2,4,6}:{(105,1),(106,1),(118,1),(175,1),(191,1)}
       146:{2,3,5,6}:{(106,1),(107,1),(109,1),(119,1),(176,1),(188,1),(191,1),(192,1),(193,1),(277,1),(290,1),(295,1),(376,1),(390,1),(454,1),(456,1),(496,1),(513,1),(531,1),(538,1),(547,1)}
       147:{2,4,6}:{(107,1),(108,1),(110,1),(189,1),(193,1)}
       148:{2,4,5,7}:{(108,1),(111,1),(121,1),(190,1),(193,1),(194,1),(208,1),(297,1),(311,1)}
       149:{4,6}:{(109,1),(178,1),(195,1)}
       150:{3,5}:{(110,1),(193,1),(195,1)}
       151:{3,4,6}:{(111,1),(194,1),(196,1),(278,1),(376,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(380,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(186,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(187,1),(202,1),(203,1),(204,1),(281,1),(292,1),(299,1),(302,1),(306,1),(378,1),(390,1),(399,1),(457,1),(467,1),(510,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(189,1),(200,1),(204,1),(205,1),(206,1),(282,1),(301,1),(308,1),(389,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(190,1),(201,1),(205,1),(206,1),(283,1),(453,1)}
       160:{3,5}:{(118,1),(191,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(193,1),(205,1),(208,1),(295,1),(390,1)}
       163:{2,3,6}:{(121,1),(194,1),(206,1),(376,1),(454,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(136,1),(211,1),(213,1),(227,1),(328,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(127,1),(214,1),(215,1),(217,1),(313,1)}
       168:{2,4,7}:{(125,1),(126,1),(137,1),(217,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(129,1),(138,1),(214,1),(217,1),(218,1),(220,1),(317,1),(320,1)}
       170:{2,6,7}:{(127,1),(218,1),(402,1)}
       171:{2,3,7}:{(128,1),(140,1),(220,1),(224,1),(320,1)}
       172:{1,4,7}:{(128,1),(129,1),(141,1),(220,1)}
       173:{1,2,5,7}:{(129,1),(130,1),(132,1),(142,1),(218,1),(221,1),(222,1),(323,1),(353,1),(416,1),(493,1),(529,1)}
       174:{1,3,6,7}:{(130,1),(133,1),(143,1),(219,1),(222,1),(223,1),(417,1),(471,1),(484,1)}
       175:{2,4,7}:{(131,1),(132,1),(145,1),(224,1)}
       176:{2,3,5,7}:{(132,1),(133,1),(134,1),(146,1),(222,1),(224,1),(225,1),(226,1),(324,1),(328,1),(416,1),(529,1),(545,1),(551,1)}
       177:{2,4,6,7}:{(133,1),(135,1),(147,1),(223,1),(225,1),(226,1),(329,1),(516,1)}
       178:{4,7}:{(134,1),(149,1)}
       179:{3,5,7}:{(135,1),(150,1),(226,1),(227,1),(228,1),(540,1)}
       180:{2,4,5}:{(136,1),(137,1),(229,1),(230,1),(486,1)}
       181:{2,3,4,6}:{(137,1),(140,1),(152,1),(216,1),(229,1),(232,1),(242,1),(312,1),(343,1),(425,1),(486,1),(516,1)}
       182:{1,4,6}:{(137,1),(138,1),(217,1),(230,1),(233,1),(404,1)}
       183:{2,5,6}:{(138,1),(218,1),(233,1),(237,1),(332,1),(402,1)}
       184:{2,3,6}:{(139,1),(143,1),(235,1),(251,1),(335,1)}
       185:{2,4,7}:{(139,1),(144,1),(231,1),(235,1),(249,1)}
       186:{1,3,6}:{(140,1),(141,1),(155,1),(220,1),(237,1)}
       187:{1,2,4,6}:{(141,1),(142,1),(145,1),(156,1),(221,1),(233,1),(237,1),(238,1),(239,1),(343,1),(352,1),(437,1),(494,1),(527,1)}
       188:{1,3,5,6}:{(142,1),(143,1),(146,1),(157,1),(222,1),(234,1),(238,1),(239,1),(240,1),(327,1),(342,1),(344,1),(417,1),(420,1),(430,1),(471,1),(484,1),(517,1)}
       189:{1,4,6}:{(143,1),(144,1),(147,1),(235,1),(240,1)}
       190:{1,4,5,7}:{(144,1),(148,1),(159,1),(236,1),(240,1),(241,1),(255,1),(346,1),(357,1)}
       191:{3,6}:{(145,1),(160,1),(224,1)}
       192:{2,4,6}:{(146,1),(149,1),(161,1),(225,1),(239,1),(242,1),(243,1),(486,1),(550,1)}
       193:{2,5}:{(147,1),(150,1),(240,1)}
       194:{2,4,6}:{(148,1),(151,1),(163,1),(241,1),(244,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(244,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(245,1),(247,1),(331,1),(358,1),(419,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(237,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(238,1),(253,1),(254,1),(333,1),(349,1),(351,1),(526,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(240,1),(250,1),(255,1),(334,1),(351,1),(430,1)}
       206:{1,3,6}:{(159,1),(163,1),(241,1),(251,1),(335,1),(484,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(244,1),(256,1),(259,1),(260,1),(347,1),(431,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(245,1),(257,1),(260,1),(419,1),(485,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(278,1),(376,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(170,1),(265,1),(266,1),(268,1),(360,1),(364,1)}
       216:{2,3,4,7}:{(168,1),(171,1),(181,1),(263,1),(267,1),(275,1),(372,1),(448,1),(501,1)}
       217:{1,4,7}:{(168,1),(169,1),(182,1),(268,1),(364,1)}
       218:{2,5,7}:{(169,1),(170,1),(183,1),(268,1),(271,1)}
       219:{2,3,6,7}:{(170,1),(174,1),(184,1),(266,1),(269,1),(270,1),(304,1),(383,1),(440,1),(451,1),(454,1)}
       220:{1,3,7}:{(171,1),(172,1),(186,1),(271,1)}
       221:{1,2,4,7}:{(172,1),(173,1),(175,1),(187,1),(268,1),(271,1),(272,1),(273,1),(372,1),(398,1),(470,1),(515,1),(539,1)}
       222:{1,3,5,7}:{(173,1),(174,1),(176,1),(188,1),(269,1),(272,1),(273,1),(274,1),(371,1),(453,1)}
       223:{1,4,6,7}:{(174,1),(177,1),(189,1),(270,1),(273,1),(274,1),(374,1),(497,1)}
       224:{3,7}:{(175,1),(191,1)}
       225:{2,4,7}:{(176,1),(178,1),(192,1),(273,1),(275,1),(552,1)}
       226:{2,5,7}:{(177,1),(179,1),(193,1),(274,1),(277,1),(531,1)}
       227:{4,5,7}:{(178,1),(179,1),(195,1),(278,1),(546,1),(552,1)}
       228:{3,5,6}:{(179,1),(277,1),(278,1),(376,1)}
       229:{2,3,5}:{(180,1),(181,1),(280,1),(295,1),(390,1),(531,1)}
       230:{1,4,5}:{(180,1),(182,1),(280,1),(281,1),(442,1),(457,1)}
       231:{3,4,7}:{(185,1),(282,1),(283,1),(301,1),(460,1)}
       232:{1,3,4,6}:{(181,1),(182,1),(186,1),(198,1),(267,1),(280,1),(284,1),(285,1),(359,1),(380,1),(384,1),(389,1),(441,1),(457,1),(497,1)}
       233:{2,4,6}:{(182,1),(183,1),(268,1),(281,1),(285,1)}
       234:{2,3,5,6}:{(183,1),(184,1),(188,1),(199,1),(269,1),(285,1),(286,1),(287,1),(290,1),(303,1),(361,1),(370,1),(379,1),(382,1),(386,1),(390,1),(397,1),(440,1),(451,1),(454,1),(498,1)}
       235:{2,4,6}:{(184,1),(185,1),(189,1),(282,1),(287,1)}
       236:{2,4,5,7}:{(185,1),(190,1),(201,1),(283,1),(287,1),(288,1),(302,1),(381,1),(388,1),(398,1),(460,1)}
       237:{2,6}:{(186,1),(202,1),(271,1)}
       238:{1,3,6}:{(187,1),(191,1),(203,1),(272,1),(285,1),(290,1),(397,1),(538,1)}
       239:{1,4,6}:{(188,1),(192,1),(204,1),(273,1),(286,1),(292,1),(457,1)}
       240:{1,5}:{(189,1),(193,1),(287,1)}
       241:{1,4,6}:{(190,1),(194,1),(206,1),(288,1),(293,1)}
       242:{3,4,6}:{(191,1),(192,1),(207,1),(275,1),(295,1),(376,1),(509,1),(538,1)}
       243:{2,4,5}:{(192,1),(193,1),(195,1),(292,1),(295,1),(390,1),(531,1),(546,1)}
       244:{2,5,6}:{(193,1),(194,1),(196,1),(293,1),(297,1)}
       245:{2,4,6,7}:{(194,1),(197,1),(210,1),(294,1),(297,1),(311,1)}
       246:{4,5,6}:{(195,1),(196,1),(278,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(297,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(289,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(290,1),(300,1),(305,1),(306,1),(390,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(380,1),(457,1),(509,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(381,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(293,1),(303,1),(308,1),(309,1),(382,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(294,1),(304,1),(309,1),(383,1),(508,1)}
       258:{3,4,5}:{(207,1),(208,1),(295,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(297,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(229,1),(312,1),(315,1),(328,1),(416,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(230,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(320,1),(403,1)}
       267:{1,3,4,7}:{(216,1),(217,1),(220,1),(232,1),(315,1),(319,1),(320,1),(407,1),(410,1),(415,1),(476,1)}
       268:{2,4,7}:{(217,1),(218,1),(233,1),(320,1)}
       269:{2,3,5,7}:{(218,1),(219,1),(222,1),(234,1),(317,1),(320,1),(321,1),(322,1),(324,1),(353,1),(412,1),(416,1),(424,1),(436,1)}
       270:{2,4,6,7}:{(219,1),(223,1),(235,1),(318,1),(321,1),(322,1),(413,1),(472,1)}
       271:{2,7}:{(220,1),(237,1)}
       272:{1,3,7}:{(221,1),(224,1),(238,1),(320,1),(324,1),(436,1),(545,1)}
       273:{1,4,7}:{(222,1),(225,1),(239,1),(321,1)}
       274:{1,5,7}:{(223,1),(226,1),(240,1),(322,1),(327,1),(517,1)}
       275:{3,4,7}:{(224,1),(225,1),(242,1),(328,1),(545,1)}
       276:{2,4,5,7}:{(225,1),(226,1),(227,1),(243,1),(326,1),(328,1),(329,1),(416,1)}
       277:{2,5,6}:{(226,1),(228,1),(327,1),(329,1)}
       278:{4,6}:{(227,1),(228,1)}
       279:{3,5,6,7}:{(228,1),(247,1),(330,1),(331,1),(419,1),(551,1)}
       280:{1,3,5}:{(229,1),(230,1),(232,1),(332,1),(333,1),(430,1),(473,1),(517,1)}
       281:{2,4,5}:{(230,1),(233,1),(332,1),(333,1),(421,1)}
       282:{3,4,6}:{(231,1),(235,1),(334,1),(335,1),(423,1)}
       283:{3,5,7}:{(231,1),(236,1),(334,1),(335,1),(351,1),(436,1)}
       284:{2,4,6}:{(232,1),(237,1),(248,1),(319,1),(332,1),(337,1),(402,1),(421,1)}
       285:{3,6}:{(233,1),(320,1),(333,1)}
       286:{2,4,6}:{(234,1),(239,1),(249,1),(321,1),(338,1),(339,1),(404,1),(421,1),(423,1)}
       287:{2,5}:{(235,1),(240,1),(334,1)}
       288:{2,4,6}:{(236,1),(241,1),(251,1),(335,1),(340,1),(423,1)}
       289:{1,2,6}:{(237,1),(252,1),(323,1),(342,1),(494,1)}
       290:{2,3,6}:{(237,1),(238,1),(253,1),(324,1),(342,1),(343,1),(494,1)}
       291:{1,3,4,6}:{(238,1),(239,1),(242,1),(254,1),(325,1),(338,1),(343,1),(344,1),(417,1)}
       292:{1,4,5}:{(239,1),(240,1),(243,1),(339,1),(344,1),(430,1),(517,1)}
       293:{1,5,6}:{(240,1),(241,1),(244,1),(340,1),(346,1)}
       294:{1,4,6,7}:{(241,1),(245,1),(257,1),(341,1),(346,1),(357,1)}
       295:{3,5}:{(242,1),(243,1)}
       296:{2,4,5,6}:{(243,1),(244,1),(246,1),(259,1),(329,1),(345,1),(347,1),(348,1),(431,1),(527,1),(541,1),(550,1)}
       297:{2,5,7}:{(244,1),(245,1),(247,1),(346,1)}
       298:{4,5,7}:{(246,1),(247,1),(331,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(342,1),(349,1),(354,1),(430,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(344,1),(351,1),(355,1),(356,1),(422,1),(434,1),(487,1),(526,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(423,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(346,1),(353,1),(357,1),(424,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(347,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(376,1),(454,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(280,1),(359,1),(362,1),(363,1),(453,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(281,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(270,1),(282,1),(364,1),(365,1),(368,1),(383,1),(441,1),(446,1),(451,1),(460,1)}
       319:{2,4,7}:{(267,1),(271,1),(284,1),(362,1),(367,1)}
       320:{3,7}:{(268,1),(285,1)}
       321:{2,4,7}:{(269,1),(273,1),(286,1),(364,1),(368,1),(460,1)}
       322:{2,5,7}:{(270,1),(274,1),(287,1),(365,1),(370,1),(498,1)}
       323:{1,2,7}:{(271,1),(289,1),(371,1),(515,1)}
       324:{2,3,7}:{(271,1),(272,1),(290,1),(371,1),(372,1),(515,1)}
       325:{1,3,4,7}:{(272,1),(273,1),(275,1),(291,1),(368,1),(372,1),(373,1)}
       326:{1,4,5,7}:{(273,1),(274,1),(276,1),(292,1),(369,1),(373,1),(374,1),(453,1)}
       327:{1,5,6}:{(274,1),(277,1),(370,1),(374,1)}
       328:{3,5,7}:{(275,1),(276,1),(295,1),(376,1)}
       329:{2,4,6}:{(276,1),(277,1),(278,1),(374,1),(376,1),(454,1)}
       330:{2,5,6,7}:{(277,1),(279,1),(297,1),(375,1),(377,1),(548,1)}
       331:{4,6,7}:{(278,1),(279,1),(298,1),(552,1)}
       332:{2,5}:{(280,1),(284,1)}
       333:{3,5}:{(281,1),(285,1),(380,1)}
       334:{3,5}:{(282,1),(287,1),(381,1)}
       335:{3,6}:{(283,1),(288,1)}
       336:{1,2,4,6}:{(284,1),(289,1),(299,1),(366,1),(378,1),(384,1),(389,1),(439,1),(457,1),(461,1),(497,1)}
       337:{2,3,6}:{(284,1),(285,1),(300,1),(367,1),(379,1),(384,1)}
       338:{3,4,6}:{(285,1),(286,1),(301,1),(368,1),(380,1),(386,1),(397,1),(451,1)}
       339:{2,4,5}:{(286,1),(287,1),(292,1),(381,1),(386,1),(390,1),(442,1),(498,1)}
       340:{2,5,6}:{(287,1),(288,1),(293,1),(382,1),(388,1)}
       341:{2,4,6,7}:{(288,1),(294,1),(304,1),(383,1),(388,1),(398,1),(460,1)}
       342:{1,3,6}:{(289,1),(290,1),(305,1),(371,1),(389,1)}
       343:{2,4,6}:{(290,1),(291,1),(306,1),(372,1),(389,1),(390,1),(454,1)}
       344:{1,3,5}:{(291,1),(292,1),(295,1),(386,1),(390,1)}
       345:{1,4,5,6}:{(292,1),(293,1),(296,1),(308,1),(374,1),(387,1),(391,1),(392,1),(465,1),(511,1),(532,1)}
       346:{1,5,7}:{(293,1),(294,1),(297,1),(388,1)}
       347:{3,5,6}:{(295,1),(296,1),(310,1),(376,1),(393,1),(538,1)}
       348:{2,4,5,7}:{(296,1),(297,1),(298,1),(311,1),(377,1),(392,1),(393,1),(466,1),(539,1),(548,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(509,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(390,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(391,1),(397,1),(400,1),(401,1),(459,1),(468,1),(511,1),(538,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(460,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(484,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(332,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(333,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(322,1),(334,1),(408,1),(409,1),(473,1)}
       366:{1,2,4,7}:{(319,1),(323,1),(336,1),(405,1),(410,1),(415,1),(476,1),(480,1)}
       367:{2,3,7}:{(319,1),(320,1),(337,1),(410,1)}
       368:{3,4,7}:{(320,1),(321,1),(338,1),(412,1),(436,1)}
       369:{2,4,5,7}:{(321,1),(322,1),(326,1),(339,1),(408,1),(412,1),(413,1),(416,1)}
       370:{2,5,6}:{(322,1),(327,1),(409,1),(413,1)}
       371:{1,3,7}:{(323,1),(324,1),(342,1),(415,1)}
       372:{2,4,7}:{(324,1),(325,1),(343,1),(415,1),(416,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(344,1),(412,1),(416,1),(417,1)}
       374:{1,4,6}:{(326,1),(327,1),(329,1),(413,1),(417,1),(484,1)}
       375:{1,5,6,7}:{(327,1),(330,1),(346,1),(414,1),(418,1),(542,1)}
       376:{3,6}:{(328,1),(329,1)}
       377:{2,4,6,7}:{(329,1),(330,1),(331,1),(348,1),(418,1),(419,1),(485,1)}
       378:{1,2,5}:{(332,1),(336,1),(420,1),(430,1),(490,1),(517,1)}
       379:{2,3,5}:{(332,1),(333,1),(337,1),(420,1),(421,1)}
       380:{3,4}:{(333,1),(421,1)}
       381:{4,5}:{(334,1),(423,1)}
       382:{3,5,6}:{(334,1),(335,1),(340,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(341,1),(424,1),(436,1)}
       384:{1,3,6}:{(336,1),(337,1),(349,1),(410,1),(420,1),(425,1)}
       385:{2,3,4,6}:{(337,1),(338,1),(343,1),(350,1),(411,1),(421,1),(426,1),(427,1),(435,1),(472,1),(482,1),(488,1)}
       386:{3,5}:{(338,1),(339,1)}
       387:{2,4,5,6}:{(339,1),(340,1),(345,1),(352,1),(413,1),(423,1),(428,1),(429,1),(431,1),(474,1),(488,1),(518,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(424,1)}
       389:{1,4,6}:{(342,1),(343,1),(354,1),(415,1),(430,1),(484,1)}
       390:{2,5}:{(343,1),(344,1),(430,1)}
       391:{1,3,5,6}:{(344,1),(345,1),(347,1),(356,1),(417,1),(428,1),(431,1),(432,1)}
       392:{1,4,5,7}:{(345,1),(346,1),(348,1),(357,1),(418,1),(429,1),(432,1),(493,1),(528,1),(542,1)}
       393:{3,5,7}:{(347,1),(348,1),(358,1),(419,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(526,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(430,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(431,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(432,1),(436,1),(438,1),(489,1),(495,1),(528,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(378,1),(439,1),(443,1),(453,1),(505,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(379,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(380,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(381,1),(442,1),(446,1),(460,1)}
       409:{3,5,6}:{(365,1),(370,1),(446,1),(451,1)}
       410:{1,3,7}:{(366,1),(367,1),(384,1),(448,1)}
       411:{2,3,4,7}:{(367,1),(368,1),(372,1),(385,1),(444,1),(449,1),(450,1),(469,1),(512,1)}
       412:{3,5,7}:{(368,1),(369,1),(386,1),(451,1)}
       413:{2,4,6}:{(369,1),(370,1),(374,1),(446,1),(451,1),(454,1)}
       414:{2,5,6,7}:{(370,1),(375,1),(388,1),(447,1),(452,1),(533,1)}
       415:{1,4,7}:{(371,1),(372,1),(389,1),(453,1)}
       416:{2,5,7}:{(372,1),(373,1),(390,1),(453,1),(454,1)}
       417:{1,3,6}:{(373,1),(374,1),(376,1),(451,1),(454,1)}
       418:{1,4,6,7}:{(374,1),(375,1),(377,1),(392,1),(452,1),(455,1),(508,1)}
       419:{3,6,7}:{(376,1),(377,1),(393,1)}
       420:{1,3,5}:{(378,1),(379,1),(384,1),(456,1),(457,1)}
       421:{2,4}:{(379,1),(380,1),(457,1)}
       422:{3,4,5}:{(380,1),(381,1),(386,1),(458,1),(459,1)}
       423:{4,6}:{(381,1),(382,1),(460,1)}
       424:{3,5,7}:{(382,1),(383,1),(388,1),(460,1)}
       425:{2,3,6}:{(384,1),(394,1),(448,1),(456,1),(461,1),(538,1)}
       426:{1,3,4,6}:{(384,1),(385,1),(389,1),(395,1),(449,1),(457,1),(461,1),(462,1),(468,1),(497,1),(506,1),(509,1),(511,1),(530,1),(538,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(458,1),(462,1),(498,1)}
       428:{3,5,6}:{(386,1),(387,1),(397,1),(451,1),(459,1),(464,1)}
       429:{2,4,5,7}:{(387,1),(388,1),(392,1),(398,1),(452,1),(460,1),(464,1),(466,1),(500,1),(512,1),(533,1)}
       430:{1,5}:{(389,1),(390,1)}
       431:{2,5,6}:{(390,1),(391,1),(400,1),(454,1),(465,1),(466,1)}
       432:{1,3,5,7}:{(391,1),(392,1),(393,1),(401,1),(455,1),(464,1),(466,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(538,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(484,1),(524,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(420,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(421,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(422,1),(473,1),(477,1),(478,1),(489,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(424,1),(479,1),(483,1),(519,1)}
       448:{2,3,7}:{(410,1),(425,1),(480,1),(545,1)}
       449:{1,3,4,7}:{(410,1),(411,1),(415,1),(426,1),(476,1),(480,1),(481,1),(495,1),(520,1),(528,1),(545,1)}
       450:{2,3,5,7}:{(411,1),(412,1),(416,1),(427,1),(477,1),(481,1),(482,1)}
       451:{3,6}:{(412,1),(413,1)}
       452:{2,4,6,7}:{(413,1),(414,1),(418,1),(429,1),(479,1),(483,1),(485,1)}
       453:{1,5,7}:{(415,1),(416,1),(430,1),(484,1)}
       454:{2,6}:{(416,1),(417,1),(484,1)}
       455:{1,3,6,7}:{(417,1),(418,1),(419,1),(432,1),(483,1),(485,1)}
       456:{2,3,5}:{(420,1),(425,1),(486,1),(490,1),(526,1)}
       457:{1,4}:{(420,1),(421,1),(486,1)}
       458:{2,4,5}:{(421,1),(422,1),(427,1),(487,1),(488,1)}
       459:{3,4,6}:{(422,1),(423,1),(428,1),(488,1),(489,1)}
       460:{4,7}:{(423,1),(424,1)}
       461:{2,4,6}:{(425,1),(426,1),(433,1),(480,1),(486,1),(490,1),(494,1),(524,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(487,1),(490,1),(517,1),(526,1),(540,1)}
       463:{2,3,5,6}:{(427,1),(428,1),(431,1),(435,1),(482,1),(488,1),(491,1),(492,1),(518,1)}
       464:{3,5,7}:{(428,1),(429,1),(436,1),(483,1),(489,1)}
       465:{1,5,6}:{(430,1),(431,1),(437,1),(484,1),(493,1)}
       466:{2,5,7}:{(431,1),(432,1),(438,1),(485,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(456,1),(496,1),(501,1),(505,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(457,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(458,1),(498,1),(502,1),(503,1),(512,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(451,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(460,1),(500,1)}
       480:{2,4,7}:{(448,1),(449,1),(461,1),(505,1),(515,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(462,1),(502,1),(505,1),(506,1),(534,1)}
       482:{2,3,6}:{(450,1),(451,1),(454,1),(503,1),(506,1)}
       483:{3,6,7}:{(451,1),(452,1),(464,1)}
       484:{1,6}:{(453,1),(454,1)}
       485:{2,6,7}:{(454,1),(455,1),(466,1),(508,1)}
       486:{2,4}:{(456,1),(457,1),(509,1)}
       487:{1,4,5}:{(457,1),(458,1),(462,1),(510,1),(511,1),(546,1)}
       488:{2,4,6}:{(458,1),(459,1),(463,1),(511,1),(512,1)}
       489:{3,4,7}:{(459,1),(460,1),(464,1),(512,1)}
       490:{2,5}:{(461,1),(462,1)}
       491:{1,3,5,6}:{(462,1),(463,1),(465,1),(468,1),(506,1),(511,1),(513,1),(514,1),(532,1),(538,1),(547,1)}
       492:{2,3,5,7}:{(463,1),(464,1),(466,1),(469,1),(507,1),(512,1),(514,1),(533,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(508,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(524,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(486,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(487,1),(517,1),(521,1),(522,1),(528,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(482,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(489,1),(519,1),(523,1)}
       505:{2,5,7}:{(480,1),(481,1),(490,1),(524,1)}
       506:{1,3,6}:{(481,1),(482,1),(484,1),(522,1),(524,1),(543,1)}
       507:{2,3,6,7}:{(482,1),(483,1),(485,1),(492,1),(523,1),(525,1)}
       508:{1,6,7}:{(484,1),(485,1),(493,1)}
       509:{3,4}:{(486,1),(526,1)}
       510:{2,4,5}:{(486,1),(487,1),(490,1),(526,1),(527,1)}
       511:{1,4,6}:{(487,1),(488,1),(491,1),(527,1),(528,1),(550,1)}
       512:{2,4,7}:{(488,1),(489,1),(492,1),(528,1)}
       513:{2,5,6}:{(490,1),(491,1),(494,1),(524,1),(527,1),(529,1)}
       514:{1,3,5,7}:{(491,1),(492,1),(493,1),(495,1),(525,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(509,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(505,1),(510,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(506,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(507,1),(512,1),(533,1),(536,1)}
       524:{2,6}:{(505,1),(506,1)}
       525:{1,3,6,7}:{(506,1),(507,1),(508,1),(514,1),(536,1),(537,1),(549,1)}
       526:{3,5}:{(509,1),(510,1),(538,1)}
       527:{2,4,6}:{(510,1),(511,1),(513,1),(538,1),(539,1)}
       528:{1,4,7}:{(511,1),(512,1),(514,1),(539,1),(552,1)}
       529:{2,5,7}:{(513,1),(514,1),(515,1),(537,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(526,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(524,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(525,1),(528,1),(542,1),(544,1)}
       537:{2,6,7}:{(524,1),(525,1),(529,1)}
       538:{3,6}:{(526,1),(527,1),(545,1)}
       539:{2,4,7}:{(527,1),(528,1),(529,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 771 :   0:{2,3,4}:{(2,1),(3,1),(45,1),(86,1)}
         1:{3,4,5}:{(5,1),(6,1),(99,1),(130,1)}
         2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
         3:{1,3,4}:{(0,1),(7,1),(9,1),(28,1),(67,1),(70,1)}
         4:{2,3,4}:{(11,1),(12,1),(21,1),(55,1)}
         5:{2,4,5}:{(1,1),(2,1),(14,1),(15,1),(86,1),(122,1)}
         6:{3,4,6}:{(1,1),(15,1),(16,1),(17,1)}
         7:{1,3,5}:{(2,1),(3,1),(14,1),(18,1),(19,1),(48,1)}
         8:{2,3,6}:{(2,1),(15,1),(19,1),(20,1)}
         9:{2,4}:{(3,1),(18,1),(21,1)}
        10:{3,4,5}:{(22,1),(23,1),(70,1),(110,1)}
        11:{2,3,5}:{(4,1),(22,1),(24,1),(25,1)}
        12:{1,3,4}:{(4,1),(24,1),(26,1),(28,1),(67,1),(99,1)}
        13:{1,2,4}:{(9,1),(26,1),(27,1),(28,1),(67,1)}
        14:{1,4,5}:{(5,1),(7,1),(29,1),(30,1),(67,1),(108,1)}
        15:{2,4,6}:{(5,1),(6,1),(8,1),(30,1),(31,1),(32,1)}
        16:{3,5,6}:{(6,1),(31,1),(33,1),(34,1),(130,1),(148,1)}
        17:{3,4,7}:{(6,1),(32,1),(34,1)}
        18:{2,5}:{(7,1),(9,1),(36,1)}
        19:{1,3,6}:{(7,1),(8,1),(30,1),(36,1),(37,1),(71,1)}
        20:{2,3,7}:{(8,1),(32,1),(37,1)}
        21:{2,3}:{(9,1),(28,1)}
        22:{2,4,5}:{(10,1),(11,1),(38,1),(39,1),(55,1),(97,1)}
        23:{3,4,6}:{(10,1),(39,1),(40,1),(41,1)}
        24:{1,3,5}:{(11,1),(12,1),(38,1),(42,1),(43,1),(79,1)}
        25:{2,3,6}:{(11,1),(39,1),(43,1),(44,1)}
        26:{2,4}:{(12,1),(42,1),(45,1)}
        27:{1,2,5}:{(13,1),(18,1),(42,1),(46,1),(47,1)}
        28:{1,3}:{(13,1),(21,1),(45,1)}
        29:{2,4,5}:{(14,1),(18,1),(48,1),(49,1),(55,1),(97,1),(125,1)}
        30:{1,4,6}:{(14,1),(15,1),(19,1),(49,1),(50,1),(51,1)}
        31:{2,5,6}:{(15,1),(16,1),(50,1),(52,1),(122,1),(144,1)}
        32:{2,4,7}:{(15,1),(17,1),(20,1),(51,1),(52,1)}
        33:{4,5,6}:{(16,1),(53,1),(140,1),(151,1)}
        34:{3,5,7}:{(16,1),(17,1),(52,1),(53,1),(54,1)}
        35:{2,3,5}:{(18,1),(21,1),(46,1),(48,1),(55,1),(56,1),(97,1)}
        36:{2,6}:{(18,1),(19,1),(57,1)}
        37:{1,3,7}:{(19,1),(20,1),(51,1),(57,1),(93,1)}
        38:{1,4,5}:{(22,1),(24,1),(58,1),(59,1),(67,1),(108,1)}
        39:{2,4,6}:{(22,1),(23,1),(25,1),(59,1),(60,1),(61,1)}
        40:{3,5,6}:{(23,1),(60,1),(62,1),(63,1),(110,1),(138,1)}
        41:{3,4,7}:{(23,1),(61,1),(63,1)}
        42:{2,5}:{(24,1),(26,1),(65,1)}
        43:{1,3,6}:{(24,1),(25,1),(59,1),(65,1),(66,1),(100,1)}
        44:{2,3,7}:{(25,1),(61,1),(66,1)}
        45:{2,3}:{(26,1),(28,1)}
        46:{1,3,5}:{(27,1),(28,1),(35,1),(64,1),(67,1),(68,1),(108,1)}
        47:{1,2,6}:{(27,1),(36,1),(65,1),(68,1),(69,1)}
        48:{3,5}:{(29,1),(70,1),(71,1)}
        49:{2,4,6}:{(29,1),(30,1),(36,1),(71,1),(72,1),(73,1),(112,1)}
        50:{1,5,6}:{(30,1),(31,1),(72,1),(74,1),(108,1),(136,1)}
        51:{1,4,7}:{(30,1),(32,1),(37,1),(73,1),(74,1)}
        52:{2,5,7}:{(31,1),(32,1),(34,1),(74,1),(75,1)}
        53:{4,5,7}:{(33,1),(34,1),(76,1)}
        54:{3,6,7}:{(34,1),(75,1),(76,1),(148,1)}
        55:{2,4}:{(35,1),(67,1),(70,1)}
        56:{2,3,6}:{(35,1),(36,1),(68,1),(71,1),(77,1),(78,1)}
        57:{2,7}:{(36,1),(37,1)}
        58:{2,4,5}:{(38,1),(42,1),(79,1),(80,1),(86,1),(122,1),(140,1)}
        59:{1,4,6}:{(38,1),(39,1),(43,1),(80,1),(81,1),(82,1)}
        60:{2,5,6}:{(39,1),(40,1),(81,1),(83,1),(97,1),(129,1)}
        61:{2,4,7}:{(39,1),(41,1),(44,1),(82,1),(83,1)}
        62:{4,5,6}:{(40,1),(84,1),(125,1),(145,1)}
        63:{3,5,7}:{(40,1),(41,1),(83,1),(84,1),(85,1)}
        64:{2,3,5}:{(42,1),(45,1),(46,1),(79,1),(86,1),(87,1),(122,1)}
        65:{2,6}:{(42,1),(43,1),(88,1)}
        66:{1,3,7}:{(43,1),(44,1),(82,1),(88,1),(118,1)}
        67:{1,4}:{(46,1),(55,1),(86,1)}
        68:{1,3,6}:{(46,1),(47,1),(56,1),(87,1),(89,1),(90,1)}
        69:{1,2,7}:{(47,1),(57,1),(88,1),(90,1)}
        70:{3,4}:{(48,1),(55,1)}
        71:{3,6}:{(48,1),(49,1),(93,1)}
        72:{2,5,6}:{(49,1),(50,1),(92,1),(94,1),(97,1),(129,1)}
        73:{2,4,7}:{(49,1),(51,1),(57,1),(93,1),(94,1),(127,1)}
        74:{1,5,7}:{(50,1),(51,1),(52,1),(94,1),(95,1)}
        75:{2,6,7}:{(52,1),(54,1),(95,1),(144,1)}
        76:{4,6,7}:{(53,1),(54,1),(96,1),(151,1)}
        77:{2,4,6}:{(55,1),(56,1),(89,1),(91,1),(97,1),(98,1),(129,1)}
        78:{2,3,7}:{(56,1),(57,1),(90,1),(93,1),(98,1)}
        79:{3,5}:{(58,1),(99,1),(100,1)}
        80:{2,4,6}:{(58,1),(59,1),(65,1),(100,1),(101,1),(102,1),(132,1)}
        81:{1,5,6}:{(59,1),(60,1),(101,1),(103,1),(108,1),(136,1)}
        82:{1,4,7}:{(59,1),(61,1),(66,1),(102,1),(103,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(103,1),(104,1)}
        84:{4,5,7}:{(62,1),(63,1),(105,1)}
        85:{3,6,7}:{(63,1),(104,1),(105,1),(138,1)}
        86:{2,4}:{(64,1),(67,1),(99,1)}
        87:{2,3,6}:{(64,1),(65,1),(68,1),(100,1),(106,1),(107,1)}
        88:{2,7}:{(65,1),(66,1)}
        89:{1,4,6}:{(67,1),(68,1),(77,1),(106,1),(108,1),(109,1),(136,1)}
        90:{1,3,7}:{(68,1),(69,1),(78,1),(107,1),(109,1)}
        91:{3,4,6}:{(70,1),(71,1),(77,1),(110,1),(111,1),(112,1),(138,1)}
        92:{3,5,6}:{(71,1),(72,1),(110,1),(112,1),(113,1),(138,1),(150,1)}
        93:{3,7}:{(71,1),(73,1)}
        94:{2,5,7}:{(72,1),(73,1),(74,1),(113,1),(114,1)}
        95:{1,6,7}:{(74,1),(75,1),(114,1),(136,1)}
        96:{5,6,7}:{(76,1),(153,1)}
        97:{2,5}:{(77,1),(108,1),(110,1)}
        98:{2,4,7}:{(77,1),(78,1),(109,1),(111,1),(115,1)}
        99:{3,4}:{(79,1),(86,1)}
       100:{3,6}:{(79,1),(80,1),(118,1)}
       101:{2,5,6}:{(80,1),(81,1),(117,1),(119,1),(122,1),(144,1)}
       102:{2,4,7}:{(80,1),(82,1),(88,1),(118,1),(119,1),(142,1)}
       103:{1,5,7}:{(81,1),(82,1),(83,1),(119,1),(120,1)}
       104:{2,6,7}:{(83,1),(85,1),(120,1),(129,1)}
       105:{4,6,7}:{(84,1),(85,1),(121,1),(145,1)}
       106:{2,4,6}:{(86,1),(87,1),(89,1),(116,1),(122,1),(123,1),(144,1)}
       107:{2,3,7}:{(87,1),(88,1),(90,1),(118,1),(123,1)}
       108:{1,5}:{(89,1),(97,1),(122,1)}
       109:{1,4,7}:{(89,1),(90,1),(98,1),(123,1),(124,1)}
       110:{3,5}:{(91,1),(97,1),(125,1)}
       111:{3,4,7}:{(91,1),(93,1),(98,1),(126,1),(127,1)}
       112:{4,6}:{(92,1),(125,1),(127,1)}
       113:{3,5,7}:{(92,1),(93,1),(94,1),(127,1),(128,1),(146,1)}
       114:{2,6,7}:{(94,1),(95,1),(128,1),(129,1)}
       115:{2,5,7}:{(97,1),(98,1),(124,1),(126,1),(129,1)}
       116:{3,4,6}:{(99,1),(100,1),(106,1),(130,1),(131,1),(132,1),(148,1)}
       117:{3,5,6}:{(100,1),(101,1),(130,1),(132,1),(133,1),(148,1),(153,1)}
       118:{3,7}:{(100,1),(102,1)}
       119:{2,5,7}:{(101,1),(102,1),(103,1),(133,1),(134,1)}
       120:{1,6,7}:{(103,1),(104,1),(134,1),(136,1)}
       121:{5,6,7}:{(105,1),(150,1)}
       122:{2,5}:{(106,1),(108,1),(130,1)}
       123:{2,4,7}:{(106,1),(107,1),(109,1),(131,1),(135,1)}
       124:{1,5,7}:{(108,1),(109,1),(115,1),(135,1),(136,1)}
       125:{4,5}:{(110,1),(112,1)}
       126:{3,5,7}:{(110,1),(111,1),(115,1),(137,1),(138,1)}
       127:{4,7}:{(112,1),(113,1)}
       128:{3,6,7}:{(113,1),(114,1),(138,1),(139,1)}
       129:{2,6}:{(115,1),(136,1),(138,1)}
       130:{3,5}:{(116,1),(122,1),(140,1)}
       131:{3,4,7}:{(116,1),(118,1),(123,1),(141,1),(142,1)}
       132:{4,6}:{(117,1),(140,1),(142,1)}
       133:{3,5,7}:{(117,1),(118,1),(119,1),(142,1),(143,1),(152,1)}
       134:{2,6,7}:{(119,1),(120,1),(143,1),(144,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(141,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,5,7}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       138:{3,6}:{(126,1),(129,1),(145,1)}
       139:{4,6,7}:{(127,1),(128,1),(145,1),(146,1)}
       140:{4,5}:{(130,1),(132,1)}
       141:{3,5,7}:{(130,1),(131,1),(135,1),(147,1),(148,1)}
       142:{4,7}:{(132,1),(133,1)}
       143:{3,6,7}:{(133,1),(134,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(148,1)}
       145:{4,6}:{(137,1),(138,1),(150,1)}
       146:{5,7}:{(139,1),(150,1)}
       147:{4,5,7}:{(140,1),(141,1),(142,1),(151,1),(152,1)}
       148:{3,6}:{(141,1),(144,1),(151,1)}
       149:{4,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(148,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 772 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 773 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(30,1),(31,1),(69,1),(72,1),(84,1),(86,1),(125,1),(132,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(17,1),(23,1),(53,1),(59,1),(61,1),(93,1),(102,1),(111,1),(114,1),(162,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(48,1),(92,1),(153,1),(161,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(132,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(120,1),(131,1),(187,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(72,1),(124,1)}
         7:{2,3,5,6,7}:{(5,1),(15,1),(16,1),(48,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(49,1),(53,1),(54,1),(93,1),(148,1),(162,1),(163,1),(164,1),(194,1),(206,1),(229,1),(241,1)}
         9:{2,3,6,7}:{(3,1),(17,1),(20,1),(61,1),(104,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(161,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(53,1),(101,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(48,1),(97,1),(153,1)}
        15:{1,3,5,6,7}:{(7,1),(11,1),(27,1),(28,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(13,1),(28,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(9,1),(31,1),(33,1),(77,1),(134,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(10,1),(33,1),(34,1),(70,1),(120,1),(173,1),(187,1),(223,1),(237,1)}
        19:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(38,1),(80,1),(83,1),(126,1),(132,1),(137,1),(177,1),(184,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(33,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(68,1),(76,1),(87,1),(117,1),(131,1),(139,1),(172,1),(190,1),(213,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(29,1),(41,1),(44,1),(88,1),(124,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,5,6,7}:{(15,1),(21,1),(45,1),(92,1),(148,1)}
        28:{1,4,6,7}:{(15,1),(16,1),(23,1),(45,1),(46,1)}
        29:{2,4,5,7}:{(16,1),(25,1),(46,1),(48,1),(92,1),(194,1)}
        30:{3,4,6,7}:{(16,1),(26,1),(48,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(104,1),(148,1),(151,1),(204,1)}
        32:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(53,1),(97,1),(99,1),(102,1),(151,1),(155,1),(162,1),(199,1),(206,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(20,1),(50,1),(52,1),(53,1)}
        34:{1,2,5,6}:{(18,1),(21,1),(52,1),(54,1),(94,1),(116,1),(161,1),(164,1),(171,1),(207,1),(208,1),(231,1)}
        35:{1,2,4,5,7}:{(18,1),(22,1),(53,1),(54,1),(55,1),(65,1),(95,1),(101,1),(103,1),(115,1),(160,1),(161,1),(163,1),(194,1),(200,1),(208,1),(210,1),(232,1),(234,1),(241,1)}
        36:{2,3,5,7}:{(19,1),(51,1),(56,1),(57,1),(109,1),(161,1),(165,1),(205,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(52,1),(58,1),(61,1),(104,1),(109,1),(161,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(53,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(46,1),(60,1),(63,1),(101,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(92,1),(103,1),(115,1),(146,1),(161,1),(166,1),(194,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(48,1),(153,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(39,1),(66,1),(67,1)}
        46:{1,4,5,7}:{(28,1),(29,1),(41,1),(66,1),(68,1),(120,1),(172,1)}
        47:{1,3,4,6,7}:{(28,1),(30,1),(42,1),(67,1),(68,1),(69,1),(117,1),(119,1),(172,1),(213,1)}
        48:{3,5,7}:{(29,1),(30,1),(44,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(70,1),(72,1),(122,1),(132,1),(182,1),(219,1)}
        50:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(123,1),(173,1),(213,1)}
        51:{1,3,5,7}:{(32,1),(36,1),(70,1),(73,1),(74,1),(123,1),(131,1),(187,1),(223,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(37,1),(71,1),(75,1),(77,1),(131,1),(134,1),(187,1),(224,1)}
        53:{1,4,7}:{(33,1),(38,1),(72,1),(75,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(39,1),(75,1),(77,1),(89,1),(122,1),(132,1),(145,1),(186,1),(193,1),(219,1),(238,1)}
        55:{1,3,5,7}:{(35,1),(40,1),(76,1),(77,1),(78,1),(123,1),(131,1),(189,1),(213,1),(224,1),(225,1),(239,1),(244,1)}
        56:{2,3,5,6}:{(36,1),(73,1),(80,1),(138,1),(177,1),(185,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(74,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(75,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(66,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(213,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(68,1),(85,1),(88,1),(131,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(120,1),(133,1),(172,1),(187,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(60,1),(90,1),(92,1),(146,1)}
        67:{3,6,7}:{(45,1),(61,1),(90,1)}
        68:{1,3,5,7}:{(46,1),(47,1),(48,1),(63,1),(90,1),(92,1)}
        69:{2,4,6,7}:{(47,1),(64,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,5,7}:{(49,1),(51,1),(94,1),(161,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(94,1),(96,1),(104,1),(151,1),(153,1),(161,1),(171,1),(211,1),(212,1)}
        72:{2,4,7}:{(50,1),(53,1),(96,1),(97,1)}
        73:{1,3,5,6}:{(51,1),(56,1),(94,1),(99,1),(151,1),(199,1),(207,1)}
        74:{1,4,5,7}:{(51,1),(53,1),(57,1),(95,1),(99,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(101,1),(234,1)}
        76:{1,3,4,7}:{(53,1),(55,1),(59,1),(97,1),(102,1),(103,1),(234,1),(235,1),(243,1)}
        77:{1,3,6}:{(54,1),(55,1),(61,1),(104,1),(151,1),(212,1),(242,1)}
        78:{2,3,5,7}:{(55,1),(103,1),(104,1),(105,1),(115,1),(161,1),(169,1),(200,1),(204,1),(211,1),(233,1)}
        79:{2,3,5,6,7}:{(56,1),(98,1),(106,1),(165,1),(196,1),(205,1)}
        80:{2,4,6}:{(56,1),(57,1),(99,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(101,1),(109,1),(161,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(103,1),(110,1),(111,1),(146,1),(204,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(90,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(92,1),(116,1),(161,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{3,5,7}:{(66,1),(67,1),(85,1),(117,1)}
        91:{2,3,6,7}:{(67,1),(69,1),(86,1),(118,1),(119,1),(213,1)}
        92:{2,5,7}:{(68,1),(69,1),(88,1),(120,1)}
        93:{1,4,6,7}:{(69,1),(89,1),(119,1),(120,1),(172,1)}
        94:{2,5,6}:{(70,1),(73,1),(122,1),(219,1)}
        95:{2,4,5,7}:{(70,1),(72,1),(74,1),(122,1),(123,1),(124,1)}
        96:{2,4,6}:{(71,1),(72,1),(75,1),(124,1),(125,1),(226,1)}
        97:{3,4,7}:{(72,1),(123,1),(125,1),(213,1)}
        98:{1,3,5,6,7}:{(73,1),(79,1),(121,1),(127,1),(175,1),(183,1),(216,1),(223,1)}
        99:{1,4,6}:{(73,1),(74,1),(80,1),(122,1)}
       100:{1,3,4,5,7}:{(74,1),(76,1),(81,1),(123,1),(129,1),(130,1),(131,1),(178,1),(179,1),(183,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       101:{1,4,5}:{(75,1),(82,1),(124,1),(131,1),(187,1)}
       102:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(125,1),(131,1),(132,1)}
       103:{2,4,7}:{(76,1),(78,1),(132,1),(133,1),(226,1),(240,1)}
       104:{2,3,6}:{(77,1),(78,1),(132,1),(134,1),(145,1),(219,1)}
       105:{1,3,5,7}:{(78,1),(133,1),(134,1),(135,1),(187,1),(189,1),(224,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(127,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(128,1),(136,1),(138,1),(185,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(132,1),(140,1),(141,1),(143,1),(222,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(133,1),(141,1),(142,1),(172,1),(189,1),(213,1)}
       112:{3,4,6}:{(85,1),(117,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(118,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(120,1),(187,1)}
       117:{3,4,7}:{(90,1),(112,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(113,1),(146,1),(147,1)}
       119:{1,3,6,7}:{(91,1),(93,1),(114,1),(147,1),(148,1)}
       120:{1,5,7}:{(92,1),(93,1),(116,1)}
       121:{2,5,6,7}:{(94,1),(98,1),(149,1),(205,1),(229,1)}
       122:{2,4,6}:{(94,1),(95,1),(99,1),(151,1)}
       123:{3,5,7}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5}:{(96,1),(101,1),(153,1),(161,1)}
       125:{3,4,6}:{(96,1),(97,1),(151,1),(153,1),(212,1),(235,1)}
       126:{2,3,4,7}:{(97,1),(103,1),(152,1),(154,1),(155,1),(169,1),(227,1),(243,1)}
       127:{1,4,6,7}:{(98,1),(99,1),(106,1),(149,1),(156,1)}
       128:{1,4,5,6}:{(99,1),(101,1),(107,1),(150,1),(156,1),(158,1),(207,1),(230,1)}
       129:{1,3,4,6}:{(99,1),(100,1),(108,1),(151,1),(158,1),(159,1),(197,1),(199,1),(230,1),(242,1)}
       130:{2,4,5,7}:{(100,1),(103,1),(152,1),(159,1),(160,1),(161,1),(200,1),(201,1),(205,1),(227,1),(232,1),(241,1)}
       131:{1,3,5}:{(101,1),(102,1),(109,1),(153,1),(161,1)}
       132:{2,4,6}:{(102,1),(103,1),(104,1),(161,1),(162,1)}
       133:{1,4,7}:{(103,1),(105,1),(162,1),(234,1)}
       134:{1,3,6}:{(104,1),(105,1),(162,1),(164,1)}
       135:{1,2,5,7}:{(105,1),(115,1),(163,1),(164,1),(200,1),(208,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(156,1),(165,1),(205,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(161,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(162,1),(167,1),(168,1),(170,1),(209,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(146,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(147,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,7}:{(117,1),(118,1),(143,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(144,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(119,1),(145,1),(173,1)}
       149:{2,4,6,7}:{(121,1),(122,1),(127,1),(174,1),(175,1)}
       150:{2,4,5,6}:{(122,1),(124,1),(128,1),(174,1),(176,1),(185,1),(217,1)}
       151:{3,6}:{(122,1),(123,1)}
       152:{2,3,5,7}:{(123,1),(126,1),(130,1),(177,1),(178,1),(180,1),(239,1),(244,1)}
       153:{3,5}:{(124,1),(125,1)}
       154:{2,3,4,6}:{(125,1),(126,1),(132,1),(177,1),(180,1),(181,1),(192,1),(217,1),(226,1)}
       155:{1,3,4,7}:{(126,1),(133,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(128,1),(136,1),(174,1),(183,1),(223,1),(236,1)}
       157:{1,3,4,6,7}:{(127,1),(129,1),(137,1),(175,1),(183,1),(184,1),(214,1),(216,1),(236,1),(244,1)}
       158:{1,3,5,6}:{(128,1),(129,1),(131,1),(138,1),(176,1),(183,1),(185,1)}
       159:{2,4,6}:{(129,1),(130,1),(177,1),(185,1),(186,1),(219,1)}
       160:{1,4,5,7}:{(130,1),(133,1),(178,1),(186,1),(187,1),(220,1),(223,1),(236,1)}
       161:{2,5}:{(131,1),(132,1),(187,1)}
       162:{1,4,6}:{(132,1),(133,1),(134,1),(187,1)}
       163:{1,2,4,7}:{(133,1),(135,1),(142,1),(182,1),(188,1),(189,1)}
       164:{1,2,6}:{(134,1),(135,1),(145,1),(219,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(187,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(189,1),(192,1),(213,1)}
       170:{1,4,6}:{(143,1),(144,1),(172,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(173,1),(191,1),(193,1)}
       172:{1,4,7}:{(146,1),(147,1),(170,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(171,1),(194,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(156,1),(195,1),(205,1),(227,1)}
       175:{3,6,7}:{(149,1),(151,1),(195,1)}
       176:{3,5,6}:{(150,1),(151,1),(153,1),(195,1),(197,1)}
       177:{2,3,6}:{(151,1),(152,1),(159,1),(199,1),(242,1)}
       178:{1,3,5,7}:{(152,1),(155,1),(160,1),(199,1),(200,1),(202,1)}
       179:{3,4,5}:{(153,1),(197,1),(201,1),(235,1)}
       180:{2,3,5}:{(153,1),(154,1),(161,1),(201,1),(202,1)}
       181:{1,3,4,6}:{(154,1),(155,1),(162,1),(199,1),(202,1),(203,1),(209,1),(230,1),(234,1),(242,1),(243,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(165,1),(195,1),(205,1)}
       184:{2,4,6,7}:{(157,1),(159,1),(196,1),(205,1),(206,1),(227,1),(229,1),(241,1)}
       185:{2,5,6}:{(158,1),(159,1),(161,1),(205,1),(207,1)}
       186:{1,4,6}:{(159,1),(160,1),(199,1),(207,1)}
       187:{1,5}:{(161,1),(162,1)}
       188:{1,2,4,6}:{(162,1),(163,1),(164,1),(168,1),(203,1),(208,1),(209,1),(234,1)}
       189:{1,3,7}:{(163,1),(169,1),(204,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(209,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(194,1),(210,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(193,1),(213,1)}
       195:{3,5,7}:{(174,1),(175,1),(176,1),(214,1)}
       196:{2,3,6,7}:{(175,1),(177,1),(184,1),(215,1),(216,1),(244,1)}
       197:{3,4,6}:{(176,1),(179,1),(214,1),(217,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(185,1),(215,1),(217,1),(218,1)}
       199:{1,3,6}:{(177,1),(178,1),(186,1),(219,1)}
       200:{2,5,7}:{(178,1),(182,1),(219,1),(221,1)}
       201:{2,4,5}:{(179,1),(180,1),(217,1),(220,1),(226,1)}
       202:{1,3,5}:{(180,1),(181,1),(187,1),(220,1),(221,1),(239,1)}
       203:{2,4,6}:{(181,1),(182,1),(219,1),(221,1),(222,1),(240,1)}
       204:{2,3,7}:{(182,1),(189,1),(222,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(185,1),(223,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(216,1),(223,1),(236,1)}
       207:{1,5,6}:{(185,1),(186,1),(187,1),(223,1)}
       208:{1,2,5}:{(187,1),(188,1),(191,1),(221,1),(224,1)}
       209:{1,3,6}:{(188,1),(189,1),(192,1),(222,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(224,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(213,1),(225,1)}
       213:{3,7}:{(194,1),(212,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,3,5,7}:{(195,1),(196,1),(198,1),(205,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(196,1),(199,1),(206,1),(228,1),(229,1)}
       217:{2,4,6}:{(197,1),(198,1),(201,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(199,1),(200,1)}
       220:{1,4,5}:{(201,1),(202,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(202,1),(203,1)}
       222:{2,3,6}:{(203,1),(204,1),(209,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(207,1)}
       224:{1,3,5}:{(208,1),(209,1),(211,1),(233,1),(234,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 774 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 775 :   0:{2,4,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(60,1),(118,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(17,1),(21,1),(40,1),(97,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(86,1),(153,1)}
         3:{2,4,5,6,7}:{(1,1),(7,1),(9,1),(24,1),(35,1),(79,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(129,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(11,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(11,1),(12,1),(28,1),(32,1)}
         7:{3,5,6,7}:{(3,1),(13,1),(54,1),(107,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(21,1),(40,1),(45,1),(54,1),(86,1)}
         9:{2,5,6,7}:{(4,1),(16,1),(17,1),(166,1)}
        10:{3,4,5,7}:{(5,1),(18,1),(19,1),(153,1),(252,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(19,1),(21,1)}
        12:{1,3,5,6,7}:{(6,1),(17,1),(21,1),(22,1),(45,1),(51,1),(54,1)}
        13:{3,4,6,7}:{(7,1),(23,1),(24,1)}
        14:{2,3,5,6,7}:{(7,1),(9,1),(24,1),(25,1),(28,1),(57,1)}
        15:{1,3,4,5,7}:{(8,1),(10,1),(23,1),(26,1),(27,1),(33,1),(58,1),(65,1),(75,1),(114,1),(126,1),(129,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(29,1),(67,1)}
        17:{1,5,6,7}:{(9,1),(29,1),(206,1)}
        18:{3,4,5,6}:{(10,1),(31,1),(194,1),(280,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(33,1),(215,1)}
        20:{2,3,4,6,7}:{(11,1),(28,1),(32,1),(34,1),(64,1),(70,1),(117,1),(128,1),(140,1),(215,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(33,1),(35,1)}
        22:{2,5,6,7}:{(12,1),(35,1),(67,1),(74,1)}
        23:{3,4,5,7}:{(13,1),(37,1),(38,1),(107,1),(290,1)}
        24:{2,4,6,7}:{(13,1),(14,1),(38,1),(40,1)}
        25:{1,3,5,6,7}:{(14,1),(17,1),(40,1),(41,1),(45,1),(83,1),(86,1)}
        26:{1,3,4,5,6}:{(15,1),(18,1),(37,1),(42,1),(49,1),(81,1),(89,1),(100,1),(146,1),(159,1),(167,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(42,1),(43,1),(44,1),(92,1),(163,1),(166,1)}
        28:{2,3,6,7}:{(16,1),(43,1),(45,1),(54,1),(86,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(17,1),(22,1),(41,1),(46,1),(47,1),(94,1),(102,1),(148,1),(166,1),(245,1),(255,1),(293,1)}
        31:{2,4,5,6}:{(18,1),(19,1),(48,1),(49,1),(249,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(48,1),(51,1),(153,1),(166,1)}
        33:{1,4,5,7}:{(19,1),(21,1),(49,1),(51,1),(52,1),(176,1)}
        34:{1,3,4,6,7}:{(20,1),(21,1),(45,1),(51,1),(53,1),(54,1),(91,1),(98,1),(104,1),(105,1),(165,1),(176,1)}
        35:{2,4,6,7}:{(21,1),(22,1),(52,1),(54,1)}
        36:{2,3,5,6,7}:{(22,1),(47,1),(54,1),(55,1),(95,1),(103,1),(107,1),(166,1),(181,1),(227,1),(293,1),(314,1)}
        37:{3,4,5,6}:{(23,1),(56,1),(143,1),(305,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(58,1),(263,1)}
        39:{2,3,4,6,7}:{(24,1),(28,1),(57,1),(59,1),(64,1),(78,1),(109,1),(128,1),(191,1),(263,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(58,1),(60,1)}
        41:{2,5,6,7}:{(25,1),(60,1),(67,1),(113,1)}
        42:{2,4,5,6}:{(26,1),(27,1),(62,1),(63,1),(121,1),(199,1),(207,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(62,1),(64,1),(65,1),(75,1),(114,1)}
        44:{1,4,5,7}:{(27,1),(29,1),(63,1),(65,1),(203,1),(206,1)}
        45:{1,3,6,7}:{(28,1),(29,1),(65,1),(67,1)}
        46:{1,2,4,6,7}:{(29,1),(30,1),(35,1),(60,1),(66,1),(67,1),(68,1),(69,1),(128,1),(277,1),(283,1),(308,1),(311,1)}
        47:{1,3,5,6,7}:{(30,1),(36,1),(61,1),(68,1),(69,1),(127,1),(129,1),(137,1),(188,1),(206,1),(219,1),(267,1)}
        48:{2,3,5,6}:{(31,1),(32,1),(70,1),(71,1),(194,1),(207,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(72,1),(211,1)}
        50:{2,3,4,5,7}:{(32,1),(64,1),(70,1),(73,1),(119,1),(190,1),(204,1),(213,1),(215,1),(281,1),(282,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(71,1),(74,1),(75,1),(206,1)}
        52:{2,4,5,7}:{(33,1),(35,1),(72,1),(74,1),(75,1),(138,1)}
        53:{2,4,6,7}:{(34,1),(67,1),(74,1),(77,1),(123,1),(131,1),(138,1)}
        54:{3,6,7}:{(35,1),(75,1)}
        55:{2,4,6,7}:{(36,1),(69,1),(78,1),(79,1),(138,1),(217,1),(263,1),(308,1)}
        56:{2,4,5,6}:{(37,1),(38,1),(80,1),(81,1),(287,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(80,1),(83,1),(107,1),(166,1)}
        58:{1,4,5,7}:{(38,1),(40,1),(81,1),(83,1),(84,1),(228,1)}
        59:{1,3,4,6,7}:{(39,1),(40,1),(45,1),(83,1),(85,1),(86,1),(91,1),(144,1),(150,1),(151,1),(165,1),(228,1)}
        60:{2,4,6,7}:{(40,1),(41,1),(84,1),(86,1)}
        61:{2,3,5,6,7}:{(41,1),(47,1),(86,1),(87,1),(95,1),(149,1),(153,1),(166,1),(175,1),(233,1),(255,1),(302,1)}
        62:{2,3,5,6}:{(42,1),(43,1),(88,1),(89,1),(100,1),(146,1)}
        63:{1,4,5,6}:{(42,1),(44,1),(89,1),(238,1),(245,1)}
        64:{2,3,4,7}:{(43,1),(88,1),(91,1),(104,1),(150,1),(163,1),(240,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(89,1),(91,1),(92,1)}
        66:{1,2,4,5,7}:{(44,1),(46,1),(52,1),(84,1),(90,1),(92,1),(93,1),(97,1),(102,1),(148,1),(160,1),(163,1),(166,1),(176,1),(228,1),(243,1),(253,1),(291,1),(298,1)}
        67:{2,6,7}:{(45,1),(92,1)}
        68:{1,3,6,7}:{(46,1),(54,1),(86,1),(93,1),(95,1),(299,1),(302,1),(314,1)}
        69:{1,4,6,7}:{(47,1),(55,1),(87,1),(97,1),(176,1),(228,1),(254,1),(292,1)}
        70:{2,3,4,6}:{(48,1),(50,1),(98,1),(230,1),(244,1),(246,1),(249,1),(302,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(98,1),(99,1),(100,1),(245,1)}
        72:{2,4,5,6}:{(49,1),(52,1),(99,1),(100,1),(171,1)}
        73:{1,3,4,5,7}:{(50,1),(51,1),(91,1),(98,1),(101,1),(104,1),(155,1),(172,1),(173,1),(176,1),(243,1),(250,1)}
        74:{2,5,7}:{(51,1),(53,1),(99,1)}
        75:{3,5,7}:{(52,1),(54,1),(100,1),(104,1)}
        76:{1,2,4,6,7}:{(53,1),(94,1),(102,1),(105,1),(160,1),(165,1),(168,1),(176,1),(179,1)}
        77:{2,3,6,7}:{(53,1),(54,1),(103,1),(105,1),(161,1),(169,1)}
        78:{3,4,6,7}:{(54,1),(55,1),(104,1),(107,1),(178,1),(290,1),(314,1)}
        79:{2,4,5,7}:{(55,1),(97,1),(107,1),(108,1),(166,1)}
        80:{2,3,5,6}:{(56,1),(57,1),(109,1),(110,1),(143,1),(207,1)}
        81:{1,4,5,6}:{(56,1),(58,1),(110,1),(111,1),(259,1)}
        82:{2,3,4,5,7}:{(57,1),(64,1),(109,1),(112,1),(119,1),(139,1),(204,1),(261,1),(263,1),(306,1),(307,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(110,1),(113,1),(114,1),(206,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(111,1),(113,1),(114,1),(189,1)}
        85:{2,4,6,7}:{(59,1),(67,1),(113,1),(116,1),(123,1),(182,1),(189,1)}
        86:{3,6,7}:{(60,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(69,1),(117,1),(118,1),(189,1),(215,1),(265,1),(283,1)}
        88:{2,3,4,6}:{(62,1),(64,1),(119,1),(120,1),(134,1),(185,1),(199,1),(270,1)}
        89:{1,3,5,6}:{(62,1),(63,1),(65,1),(120,1),(121,1)}
        90:{1,2,4,5,6}:{(63,1),(66,1),(72,1),(111,1),(121,1),(122,1),(130,1),(132,1),(183,1),(196,1),(199,1),(207,1),(211,1),(259,1),(273,1),(277,1),(281,1),(283,1),(306,1),(308,1),(310,1),(311,1)}
        91:{1,3,4,7}:{(64,1),(65,1),(120,1),(123,1),(201,1),(203,1)}
        92:{2,5,7}:{(65,1),(67,1),(121,1),(123,1)}
        93:{1,3,5,7}:{(66,1),(68,1),(75,1),(114,1),(122,1),(125,1),(126,1),(201,1),(282,1),(307,1)}
        94:{1,2,6,7}:{(67,1),(124,1),(127,1),(311,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(276,1),(311,1)}
        96:{1,3,4,6,7}:{(68,1),(69,1),(78,1),(117,1),(126,1),(128,1),(129,1),(205,1)}
        97:{1,4,5,7}:{(69,1),(79,1),(118,1),(129,1),(130,1),(206,1)}
        98:{1,3,4,6}:{(70,1),(71,1),(73,1),(131,1),(134,1),(208,1),(211,1),(277,1)}
        99:{2,5,6}:{(71,1),(74,1),(131,1)}
       100:{3,5,6}:{(72,1),(75,1),(134,1)}
       101:{2,4,5,7}:{(73,1),(74,1),(123,1),(131,1),(136,1),(138,1),(195,1),(212,1)}
       102:{1,2,5,7}:{(74,1),(76,1),(132,1),(137,1),(206,1),(218,1)}
       103:{2,3,5,7}:{(74,1),(75,1),(77,1),(133,1),(137,1),(138,1)}
       104:{3,4,7}:{(75,1),(134,1),(138,1)}
       105:{1,3,6,7}:{(76,1),(77,1),(137,1),(140,1),(201,1),(208,1)}
       106:{2,3,4,6,7}:{(77,1),(78,1),(128,1),(138,1),(141,1),(142,1),(202,1),(209,1),(217,1),(276,1)}
       107:{3,5,7}:{(78,1),(79,1),(143,1)}
       108:{2,4,5,6}:{(79,1),(130,1),(143,1),(207,1),(217,1),(308,1)}
       109:{2,3,4,6}:{(80,1),(82,1),(144,1),(178,1),(244,1),(284,1),(287,1),(314,1)}
       110:{1,3,5,6}:{(80,1),(81,1),(83,1),(144,1),(145,1),(146,1),(245,1)}
       111:{2,4,5,6}:{(81,1),(84,1),(145,1),(146,1),(223,1)}
       112:{1,3,4,5,7}:{(82,1),(83,1),(91,1),(144,1),(147,1),(150,1),(155,1),(224,1),(225,1),(228,1),(243,1),(288,1)}
       113:{2,5,7}:{(83,1),(85,1),(145,1)}
       114:{3,5,7}:{(84,1),(86,1),(146,1),(150,1)}
       115:{1,2,4,6,7}:{(85,1),(94,1),(148,1),(151,1),(160,1),(165,1),(220,1),(228,1),(231,1)}
       116:{2,3,6,7}:{(85,1),(86,1),(149,1),(151,1),(161,1),(221,1)}
       117:{3,4,6,7}:{(86,1),(87,1),(150,1),(153,1),(230,1),(252,1),(302,1)}
       118:{2,4,5,7}:{(87,1),(97,1),(153,1),(154,1),(166,1)}
       119:{2,3,4,5}:{(88,1),(155,1),(172,1),(224,1),(239,1),(294,1)}
       120:{1,3,4,6}:{(88,1),(89,1),(91,1),(155,1),(156,1),(236,1),(238,1)}
       121:{2,5,6}:{(89,1),(92,1),(156,1)}
       122:{1,3,5,6}:{(90,1),(93,1),(100,1),(146,1),(158,1),(159,1),(236,1),(297,1),(299,1),(301,1),(302,1),(313,1),(314,1)}
       123:{2,4,7}:{(91,1),(92,1),(156,1),(161,1)}
       124:{1,2,5,7}:{(92,1),(94,1),(157,1),(160,1),(162,1),(298,1)}
       125:{2,3,5,7}:{(92,1),(93,1),(95,1),(158,1),(161,1),(162,1),(163,1),(166,1),(240,1),(298,1)}
       126:{1,3,4,7}:{(93,1),(104,1),(150,1),(159,1),(163,1),(176,1),(228,1),(252,1),(290,1)}
       127:{1,3,6,7}:{(94,1),(95,1),(162,1),(165,1),(299,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(163,1),(165,1),(166,1),(244,1)}
       129:{1,3,5,7}:{(96,1),(97,1),(107,1),(153,1),(166,1),(167,1)}
       130:{1,4,5,6}:{(97,1),(108,1),(154,1),(167,1),(245,1),(254,1),(292,1)}
       131:{2,4,6}:{(98,1),(99,1),(101,1),(169,1)}
       132:{1,2,5,6}:{(99,1),(102,1),(168,1),(170,1),(245,1),(255,1),(300,1)}
       133:{2,3,5,6}:{(99,1),(100,1),(103,1),(169,1),(170,1),(171,1),(248,1)}
       134:{3,4,6}:{(100,1),(104,1),(171,1),(172,1)}
       135:{1,2,4,5,7}:{(101,1),(102,1),(160,1),(168,1),(173,1),(176,1),(234,1),(243,1),(250,1),(251,1),(253,1),(298,1),(300,1)}
       136:{2,3,5,7}:{(101,1),(161,1),(169,1),(173,1),(174,1),(235,1),(248,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(105,1),(170,1),(175,1),(176,1)}
       138:{2,4,7}:{(103,1),(104,1),(171,1),(176,1)}
       139:{3,4,5,7}:{(104,1),(107,1),(172,1),(177,1),(178,1)}
       140:{2,3,6,7}:{(105,1),(175,1),(179,1),(240,1),(246,1),(302,1)}
       141:{1,3,4,6,7}:{(105,1),(106,1),(165,1),(176,1),(179,1),(180,1),(241,1),(247,1),(252,1),(254,1),(299,1),(302,1)}
       142:{2,3,5,7}:{(106,1),(107,1),(166,1),(177,1),(180,1),(181,1),(248,1)}
       143:{3,5,6}:{(107,1),(108,1),(178,1),(314,1)}
       144:{1,3,4,6}:{(109,1),(110,1),(112,1),(182,1),(185,1),(256,1),(259,1),(277,1)}
       145:{2,5,6}:{(110,1),(113,1),(182,1)}
       146:{3,5,6}:{(111,1),(114,1),(185,1)}
       147:{2,4,5,7}:{(112,1),(113,1),(123,1),(182,1),(187,1),(189,1),(195,1),(260,1)}
       148:{1,2,5,7}:{(113,1),(115,1),(183,1),(188,1),(206,1),(266,1)}
       149:{2,3,5,7}:{(113,1),(114,1),(116,1),(184,1),(188,1),(189,1)}
       150:{3,4,7}:{(114,1),(185,1),(189,1)}
       151:{1,3,6,7}:{(115,1),(116,1),(188,1),(191,1),(201,1),(256,1)}
       152:{2,3,4,6,7}:{(116,1),(117,1),(128,1),(189,1),(192,1),(193,1),(202,1),(257,1),(265,1),(276,1)}
       153:{3,5,7}:{(117,1),(118,1),(194,1)}
       154:{2,4,5,6}:{(118,1),(130,1),(194,1),(207,1),(265,1),(283,1)}
       155:{1,3,4,5}:{(119,1),(120,1),(195,1),(268,1),(273,1)}
       156:{2,4,6}:{(120,1),(121,1),(123,1),(195,1),(197,1)}
       157:{1,2,5,6}:{(121,1),(124,1),(196,1),(198,1),(310,1),(311,1)}
       158:{2,3,5,6}:{(121,1),(122,1),(125,1),(197,1),(198,1),(199,1),(207,1),(270,1),(272,1),(276,1),(310,1),(311,1)}
       159:{1,3,4,6}:{(122,1),(126,1),(134,1),(185,1),(199,1),(200,1),(211,1),(259,1),(280,1),(305,1)}
       160:{1,2,4,7}:{(123,1),(124,1),(196,1),(201,1),(203,1),(274,1)}
       161:{2,3,7}:{(123,1),(197,1),(201,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(127,1),(198,1),(201,1),(203,1),(206,1)}
       163:{2,4,7}:{(125,1),(126,1),(199,1),(203,1)}
       164:{1,3,4,5,7}:{(126,1),(129,1),(139,1),(190,1),(200,1),(204,1),(205,1),(216,1),(264,1),(275,1),(282,1),(307,1)}
       165:{1,4,6,7}:{(127,1),(128,1),(203,1),(206,1),(277,1)}
       166:{2,5,7}:{(128,1),(129,1),(206,1),(207,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(143,1),(194,1),(205,1),(207,1)}
       168:{1,2,4,6}:{(131,1),(132,1),(135,1),(208,1),(211,1),(277,1),(278,1),(283,1),(311,1)}
       169:{2,3,6}:{(131,1),(136,1),(208,1)}
       170:{1,3,5,6}:{(132,1),(133,1),(137,1),(208,1),(210,1),(211,1),(279,1)}
       171:{2,4,6}:{(133,1),(134,1),(138,1),(211,1),(212,1)}
       172:{3,4,5}:{(134,1),(212,1)}
       173:{1,3,5,7}:{(135,1),(136,1),(201,1),(208,1),(213,1),(214,1),(268,1),(279,1),(282,1)}
       174:{2,3,4,7}:{(136,1),(138,1),(209,1),(214,1),(269,1)}
       175:{2,3,5,7}:{(137,1),(140,1),(210,1),(215,1),(218,1),(282,1)}
       176:{1,4,7}:{(137,1),(138,1),(211,1),(215,1)}
       177:{2,4,5,7}:{(138,1),(139,1),(142,1),(212,1),(216,1),(217,1)}
       178:{3,4,6}:{(139,1),(143,1),(217,1)}
       179:{2,4,6,7}:{(140,1),(141,1),(215,1),(218,1),(274,1),(278,1),(283,1),(311,1)}
       180:{1,3,5,7}:{(141,1),(142,1),(206,1),(216,1),(218,1),(219,1),(279,1),(282,1)}
       181:{2,3,5,6}:{(142,1),(143,1),(207,1),(217,1),(219,1),(276,1)}
       182:{2,4,6}:{(144,1),(145,1),(147,1),(221,1)}
       183:{1,2,5,6}:{(145,1),(148,1),(220,1),(222,1),(245,1),(293,1),(312,1)}
       184:{2,3,5,6}:{(145,1),(146,1),(149,1),(221,1),(222,1),(223,1),(286,1)}
       185:{3,4,6}:{(146,1),(150,1),(223,1),(224,1)}
       186:{1,2,4,5,7}:{(147,1),(148,1),(160,1),(220,1),(225,1),(228,1),(234,1),(243,1),(288,1),(289,1),(291,1),(298,1),(312,1)}
       187:{2,3,5,7}:{(147,1),(161,1),(221,1),(225,1),(226,1),(235,1),(286,1)}
       188:{1,3,5,7}:{(148,1),(149,1),(151,1),(222,1),(227,1),(228,1)}
       189:{2,4,7}:{(149,1),(150,1),(223,1),(228,1)}
       190:{3,4,5,7}:{(150,1),(153,1),(224,1),(229,1),(230,1)}
       191:{2,3,6,7}:{(151,1),(227,1),(231,1),(240,1),(284,1),(314,1)}
       192:{1,3,4,6,7}:{(151,1),(152,1),(165,1),(228,1),(231,1),(232,1),(241,1),(285,1),(290,1),(292,1),(299,1),(314,1)}
       193:{2,3,5,7}:{(152,1),(153,1),(166,1),(229,1),(232,1),(233,1),(286,1)}
       194:{3,5,6}:{(153,1),(154,1),(230,1),(302,1)}
       195:{2,4,5}:{(155,1),(156,1),(235,1)}
       196:{1,2,4,6}:{(156,1),(157,1),(160,1),(234,1),(236,1),(238,1),(296,1)}
       197:{2,3,6}:{(156,1),(161,1),(235,1),(236,1)}
       198:{1,3,5,6}:{(157,1),(158,1),(162,1),(236,1),(238,1),(245,1),(297,1),(299,1)}
       199:{2,4,6}:{(158,1),(159,1),(163,1),(238,1),(239,1)}
       200:{1,3,4,5}:{(159,1),(172,1),(224,1),(239,1),(250,1),(288,1),(297,1),(301,1),(313,1)}
       201:{1,3,7}:{(160,1),(161,1),(236,1),(240,1)}
       202:{2,3,4,7}:{(161,1),(163,1),(237,1),(241,1),(242,1),(252,1),(290,1)}
       203:{1,4,7}:{(162,1),(163,1),(238,1)}
       204:{2,4,5,7}:{(163,1),(164,1),(166,1),(239,1),(242,1),(243,1),(244,1),(298,1)}
       205:{1,3,4,6}:{(164,1),(167,1),(178,1),(230,1),(244,1),(254,1),(292,1),(299,1),(302,1),(314,1)}
       206:{1,5,7}:{(165,1),(166,1),(245,1)}
       207:{2,5,6}:{(166,1),(167,1),(244,1),(245,1)}
       208:{1,3,6}:{(168,1),(169,1),(173,1),(246,1),(302,1)}
       209:{2,3,4,6}:{(169,1),(171,1),(174,1),(247,1),(248,1)}
       210:{2,3,5,6}:{(170,1),(175,1),(246,1),(249,1),(255,1),(300,1),(301,1),(302,1)}
       211:{1,4,6}:{(170,1),(171,1),(176,1),(249,1),(250,1)}
       212:{2,4,5}:{(171,1),(172,1),(248,1),(250,1)}
       213:{2,3,5,7}:{(173,1),(240,1),(246,1),(251,1),(294,1),(298,1),(300,1)}
       214:{1,3,4,7}:{(173,1),(174,1),(176,1),(247,1),(251,1),(252,1),(295,1)}
       215:{2,4,7}:{(175,1),(176,1),(249,1),(252,1)}
       216:{1,4,5,7}:{(176,1),(177,1),(180,1),(250,1),(253,1),(254,1)}
       217:{2,4,6}:{(177,1),(178,1),(181,1),(254,1)}
       218:{2,5,7}:{(179,1),(180,1),(255,1),(300,1)}
       219:{1,3,5,6}:{(180,1),(181,1),(245,1),(254,1),(255,1),(299,1),(302,1)}
       220:{1,2,4,6}:{(182,1),(183,1),(186,1),(256,1),(259,1),(277,1),(303,1),(308,1),(311,1)}
       221:{2,3,6}:{(182,1),(187,1),(256,1)}
       222:{1,3,5,6}:{(183,1),(184,1),(188,1),(256,1),(258,1),(259,1),(304,1)}
       223:{2,4,6}:{(184,1),(185,1),(189,1),(259,1),(260,1)}
       224:{3,4,5}:{(185,1),(260,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(201,1),(256,1),(261,1),(262,1),(268,1),(304,1),(307,1)}
       226:{2,3,4,7}:{(187,1),(189,1),(257,1),(262,1),(269,1)}
       227:{2,3,5,7}:{(188,1),(191,1),(258,1),(263,1),(266,1),(307,1)}
       228:{1,4,7}:{(188,1),(189,1),(259,1),(263,1)}
       229:{2,4,5,7}:{(189,1),(190,1),(193,1),(260,1),(264,1),(265,1)}
       230:{3,4,6}:{(190,1),(194,1),(265,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(263,1),(266,1),(274,1),(303,1),(308,1),(311,1)}
       232:{1,3,5,7}:{(192,1),(193,1),(206,1),(264,1),(266,1),(267,1),(304,1),(307,1)}
       233:{2,3,5,6}:{(193,1),(194,1),(207,1),(265,1),(267,1),(276,1)}
       234:{1,2,4,5}:{(195,1),(196,1),(268,1),(273,1),(309,1),(310,1)}
       235:{2,3,5}:{(195,1),(197,1),(268,1),(269,1)}
       236:{1,3,6}:{(196,1),(197,1),(201,1),(268,1),(270,1)}
       237:{2,3,4,6}:{(197,1),(199,1),(202,1),(269,1),(271,1),(272,1),(276,1),(280,1),(305,1)}
       238:{1,4,6}:{(198,1),(199,1),(203,1),(273,1)}
       239:{2,4,5}:{(199,1),(200,1),(272,1),(273,1),(310,1)}
       240:{2,3,7}:{(201,1),(270,1),(274,1)}
       241:{1,3,4,7}:{(201,1),(202,1),(203,1),(271,1),(274,1),(275,1)}
       242:{2,3,5,7}:{(202,1),(204,1),(272,1),(275,1),(276,1),(282,1),(307,1)}
       243:{1,4,5,7}:{(203,1),(204,1),(206,1),(273,1),(275,1),(277,1)}
       244:{2,4,6}:{(204,1),(205,1),(207,1),(276,1),(277,1),(311,1)}
       245:{1,5,6}:{(206,1),(207,1),(277,1)}
       246:{2,3,6}:{(208,1),(213,1),(278,1),(311,1)}
       247:{1,3,4,6}:{(208,1),(209,1),(211,1),(214,1),(278,1),(279,1),(280,1)}
       248:{2,3,5}:{(209,1),(212,1),(279,1)}
       249:{2,4,6}:{(210,1),(211,1),(215,1),(280,1),(281,1)}
       250:{1,4,5}:{(211,1),(212,1),(279,1),(281,1)}
       251:{2,4,7}:{(213,1),(214,1),(278,1),(309,1)}
       252:{3,4,7}:{(215,1),(280,1),(282,1)}
       253:{2,4,5,7}:{(215,1),(216,1),(218,1),(281,1),(282,1),(283,1)}
       254:{1,4,6}:{(216,1),(217,1),(219,1),(283,1)}
       255:{2,5,6}:{(218,1),(219,1),(283,1),(311,1)}
       256:{1,3,6}:{(220,1),(221,1),(225,1),(284,1),(314,1)}
       257:{2,3,4,6}:{(221,1),(223,1),(226,1),(285,1),(286,1)}
       258:{2,3,5,6}:{(222,1),(227,1),(284,1),(287,1),(293,1),(312,1),(313,1),(314,1)}
       259:{1,4,6}:{(222,1),(223,1),(228,1),(287,1),(288,1)}
       260:{2,4,5}:{(223,1),(224,1),(286,1),(288,1)}
       261:{2,3,5,7}:{(225,1),(240,1),(284,1),(289,1),(294,1),(298,1),(312,1)}
       262:{1,3,4,7}:{(225,1),(226,1),(228,1),(285,1),(289,1),(290,1),(295,1)}
       263:{2,4,7}:{(227,1),(228,1),(287,1),(290,1)}
       264:{1,4,5,7}:{(228,1),(229,1),(232,1),(288,1),(291,1),(292,1)}
       265:{2,4,6}:{(229,1),(230,1),(233,1),(292,1)}
       266:{2,5,7}:{(231,1),(232,1),(293,1),(312,1)}
       267:{1,3,5,6}:{(232,1),(233,1),(245,1),(292,1),(293,1),(299,1),(314,1)}
       268:{1,3,5}:{(234,1),(235,1),(236,1),(294,1),(295,1)}
       269:{2,3,4}:{(235,1),(295,1)}
       270:{2,3,6}:{(236,1),(240,1),(294,1),(296,1)}
       271:{1,3,4,6}:{(236,1),(237,1),(238,1),(241,1),(295,1),(296,1),(297,1),(299,1)}
       272:{2,3,5}:{(237,1),(239,1),(297,1),(301,1),(313,1)}
       273:{1,4,5}:{(238,1),(239,1),(297,1)}
       274:{2,4,7}:{(240,1),(241,1),(296,1),(298,1)}
       275:{1,3,5,7}:{(241,1),(242,1),(243,1),(297,1),(298,1),(299,1)}
       276:{2,3,6}:{(242,1),(244,1),(299,1),(302,1),(314,1)}
       277:{1,4,6}:{(243,1),(244,1),(245,1),(299,1)}
       278:{2,4,6}:{(246,1),(247,1),(251,1),(300,1)}
       279:{1,3,5}:{(247,1),(248,1),(250,1),(300,1),(301,1)}
       280:{3,4,6}:{(249,1),(252,1),(301,1),(302,1)}
       281:{2,4,5}:{(249,1),(250,1),(300,1),(301,1)}
       282:{3,5,7}:{(252,1),(253,1),(301,1),(302,1)}
       283:{2,4,6}:{(253,1),(254,1),(255,1),(302,1)}
       284:{2,3,6}:{(256,1),(261,1),(303,1),(311,1)}
       285:{1,3,4,6}:{(256,1),(257,1),(259,1),(262,1),(303,1),(304,1),(305,1)}
       286:{2,3,5}:{(257,1),(260,1),(304,1)}
       287:{2,4,6}:{(258,1),(259,1),(263,1),(305,1),(306,1)}
       288:{1,4,5}:{(259,1),(260,1),(304,1),(306,1)}
       289:{2,4,7}:{(261,1),(262,1),(303,1),(309,1)}
       290:{3,4,7}:{(263,1),(305,1),(307,1)}
       291:{2,4,5,7}:{(263,1),(264,1),(266,1),(306,1),(307,1),(308,1)}
       292:{1,4,6}:{(264,1),(265,1),(267,1),(308,1)}
       293:{2,5,6}:{(266,1),(267,1),(308,1),(311,1)}
       294:{2,3,5}:{(268,1),(270,1),(309,1),(310,1)}
       295:{1,3,4}:{(268,1),(269,1),(309,1)}
       296:{2,4,6}:{(270,1),(271,1),(274,1),(309,1),(310,1),(311,1)}
       297:{1,3,5}:{(271,1),(272,1),(273,1),(310,1)}
       298:{2,5,7}:{(274,1),(275,1),(310,1),(311,1)}
       299:{1,3,6}:{(275,1),(276,1),(277,1),(311,1)}
       300:{2,5}:{(278,1),(279,1)}
       301:{3,5}:{(280,1),(281,1)}
       302:{3,6}:{(282,1),(283,1)}
       303:{2,4,6}:{(284,1),(285,1),(289,1),(312,1)}
       304:{1,3,5}:{(285,1),(286,1),(288,1),(312,1),(313,1)}
       305:{3,4,6}:{(287,1),(290,1),(313,1),(314,1)}
       306:{2,4,5}:{(287,1),(288,1),(312,1),(313,1)}
       307:{3,5,7}:{(290,1),(291,1),(313,1),(314,1)}
       308:{2,4,6}:{(291,1),(292,1),(293,1),(314,1)}
       309:{2,4}:{(294,1),(295,1)}
       310:{2,5}:{(296,1),(297,1)}
       311:{2,6}:{(298,1),(299,1)}
       312:{2,5}:{(303,1),(304,1)}
       313:{3,5}:{(305,1),(306,1)}
       314:{3,6}:{(307,1),(308,1)}

 776 :   0:{3,4,5,7}:{(1,1),(2,1),(17,1),(62,1),(106,1),(173,1),(274,1),(372,1),(378,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(5,1),(6,1),(30,1),(38,1),(71,1),(130,1),(225,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(414,1),(420,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(71,1),(84,1),(130,1),(243,1),(331,1),(339,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(378,1),(386,1)}
         5:{1,4,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(61,1),(94,1),(104,1),(180,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(16,1)}
         7:{3,4,6,7}:{(2,1),(15,1),(17,1),(55,1),(106,1),(118,1)}
         8:{3,5,6}:{(2,1),(16,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(46,1),(56,1),(94,1),(104,1),(191,1),(298,1),(388,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(175,1),(192,1),(210,1),(219,1),(280,1),(287,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(9,1),(22,1),(23,1),(26,1),(37,1),(429,1)}
        12:{2,3,6}:{(4,1),(6,1),(23,1),(420,1),(428,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(26,1),(27,1),(65,1),(77,1),(91,1),(140,1),(143,1),(150,1),(152,1)}
        14:{1,4,6}:{(5,1),(6,1),(23,1),(27,1),(29,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(28,1),(30,1),(71,1)}
        16:{2,5,6}:{(6,1),(8,1),(29,1),(30,1),(225,1)}
        17:{3,5,7}:{(7,1),(8,1),(30,1),(33,1)}
        18:{4,5,6}:{(8,1),(33,1),(325,1),(414,1)}
        19:{2,4,7}:{(9,1),(22,1),(35,1),(36,1),(350,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(23,1),(36,1),(37,1),(70,1),(74,1),(86,1),(133,1),(144,1),(165,1),(170,1),(244,1),(270,1),(340,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(225,1),(330,1),(338,1)}
        22:{2,5,7}:{(11,1),(19,1),(41,1),(60,1)}
        23:{1,3,6}:{(11,1),(12,1),(14,1),(41,1),(47,1),(465,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(42,1),(44,1),(118,1),(206,1)}
        25:{2,3,5,6}:{(12,1),(16,1),(21,1),(43,1),(44,1),(45,1),(54,1),(117,1),(192,1)}
        26:{3,5,7}:{(13,1),(46,1),(47,1),(109,1),(128,1),(191,1)}
        27:{2,4,6}:{(13,1),(14,1),(41,1),(47,1),(49,1),(111,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(42,1),(48,1),(50,1),(104,1)}
        29:{1,5,6}:{(14,1),(16,1),(49,1),(50,1),(180,1)}
        30:{2,5,7}:{(15,1),(16,1),(17,1),(50,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(45,1),(51,1),(53,1),(54,1),(117,1),(278,1),(308,1),(377,1),(472,1),(519,1)}
        32:{3,5,6,7}:{(17,1),(52,1),(55,1),(118,1),(371,1),(475,1)}
        33:{4,5,7}:{(17,1),(18,1),(55,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(94,1),(119,1),(388,1),(390,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(191,1)}
        36:{2,4,6}:{(19,1),(20,1),(41,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(109,1),(128,1),(180,1),(387,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(22,1),(34,1),(63,1),(64,1),(87,1),(160,1),(429,1)}
        40:{2,3,5,7}:{(22,1),(26,1),(35,1),(63,1),(65,1),(66,1),(90,1),(140,1)}
        41:{2,6}:{(22,1),(23,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(28,1),(67,1),(69,1),(75,1),(258,1)}
        43:{1,3,5,6}:{(23,1),(25,1),(29,1),(37,1),(68,1),(69,1),(70,1),(76,1),(144,1),(159,1),(244,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(30,1),(69,1),(71,1),(83,1),(158,1),(243,1)}
        45:{2,4,6}:{(25,1),(38,1),(70,1),(71,1),(72,1)}
        46:{3,4,7}:{(26,1),(65,1),(74,1),(152,1),(170,1)}
        47:{3,6}:{(26,1),(27,1)}
        48:{2,4,6,7}:{(27,1),(28,1),(67,1),(75,1),(77,1),(143,1),(152,1)}
        49:{2,5,6}:{(27,1),(29,1),(76,1),(77,1),(140,1)}
        50:{1,5,7}:{(28,1),(29,1),(30,1),(77,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(70,1),(78,1),(80,1),(81,1),(159,1),(231,1),(254,1),(336,1),(437,1)}
        52:{2,5,6,7}:{(30,1),(32,1),(79,1),(82,1),(328,1),(441,1)}
        53:{2,4,5,7}:{(30,1),(31,1),(33,1),(71,1),(80,1),(82,1),(83,1),(158,1),(357,1),(441,1),(501,1)}
        54:{3,5,6}:{(31,1),(72,1),(83,1),(330,1),(358,1),(420,1)}
        55:{4,6,7}:{(32,1),(33,1),(414,1),(501,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(133,1),(161,1),(165,1),(340,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(65,1),(85,1),(88,1),(89,1),(241,1),(268,1),(339,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(144,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(70,1),(91,1),(150,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(330,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(56,1),(93,1),(94,1),(95,1),(123,1),(180,1)}
        64:{1,2,6}:{(39,1),(41,1),(95,1),(208,1),(465,1)}
        65:{2,4,7}:{(40,1),(46,1),(94,1),(99,1),(127,1)}
        66:{2,3,6}:{(40,1),(41,1),(47,1),(95,1),(99,1)}
        67:{2,6,7}:{(41,1),(42,1),(102,1)}
        68:{2,5,6}:{(41,1),(43,1),(60,1),(102,1),(103,1),(299,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(102,1),(104,1),(110,1),(191,1),(207,1),(298,1)}
        70:{1,4,6}:{(43,1),(45,1),(61,1),(103,1),(104,1),(111,1)}
        71:{2,4,7}:{(44,1),(45,1),(104,1),(106,1)}
        72:{3,4,6}:{(45,1),(54,1),(62,1),(106,1),(519,1)}
        73:{3,4,5,7}:{(46,1),(98,1),(107,1),(109,1),(195,1),(198,1),(218,1),(294,1),(320,1)}
        74:{3,4,6}:{(46,1),(47,1),(99,1),(109,1),(111,1)}
        75:{3,6,7}:{(47,1),(48,1),(110,1),(191,1)}
        76:{3,5,6}:{(47,1),(49,1),(109,1),(110,1),(111,1)}
        77:{2,5,7}:{(48,1),(49,1),(50,1),(110,1)}
        78:{2,4,5,6}:{(49,1),(51,1),(103,1),(111,1),(113,1),(114,1),(117,1),(188,1),(202,1),(293,1),(301,1),(397,1)}
        79:{1,5,6,7}:{(50,1),(52,1),(112,1),(115,1),(283,1),(401,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(104,1),(113,1),(115,1),(116,1),(207,1),(307,1),(401,1)}
        81:{1,3,5,6}:{(51,1),(54,1),(105,1),(114,1),(116,1),(117,1),(285,1),(385,1)}
        82:{2,4,6,7}:{(52,1),(53,1),(55,1),(115,1),(118,1),(206,1),(377,1)}
        83:{3,5,7}:{(53,1),(54,1),(106,1),(118,1),(403,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(94,1),(119,1),(121,1),(122,1),(173,1),(315,1),(388,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(180,1),(209,1),(387,1)}
        88:{2,3,5,7}:{(58,1),(98,1),(121,1),(125,1),(126,1),(294,1),(386,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(99,1),(122,1),(125,1),(126,1),(127,1),(190,1),(217,1),(287,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(103,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(105,1),(128,1),(129,1),(199,1),(214,1),(220,1),(285,1),(304,1),(400,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(225,1)}
        94:{1,4,7}:{(63,1),(65,1),(130,1),(133,1),(165,1)}
        95:{1,3,6}:{(63,1),(64,1),(66,1),(131,1),(133,1)}
        96:{1,2,6,7}:{(64,1),(67,1),(134,1),(136,1),(258,1),(259,1),(359,1),(428,1),(493,1),(494,1),(529,1)}
        97:{1,2,5,6}:{(64,1),(68,1),(87,1),(135,1),(136,1),(137,1),(159,1),(257,1),(260,1),(338,1),(342,1),(427,1),(428,1),(430,1),(488,1),(494,1)}
        98:{2,4,5,7}:{(65,1),(73,1),(88,1),(132,1),(138,1),(140,1),(169,1),(236,1),(268,1)}
        99:{2,4,6}:{(65,1),(66,1),(74,1),(133,1),(140,1)}
       100:{2,3,6,7}:{(66,1),(67,1),(75,1),(134,1),(139,1),(141,1),(345,1),(428,1),(529,1),(530,1),(544,1)}
       101:{2,3,5,6}:{(66,1),(68,1),(76,1),(90,1),(135,1),(140,1),(141,1),(142,1),(144,1),(235,1),(238,1),(240,1),(338,1),(345,1),(428,1),(488,1),(491,1),(524,1),(530,1),(545,1),(547,1)}
       102:{2,5,7}:{(67,1),(68,1),(69,1),(143,1),(350,1)}
       103:{2,4,6}:{(68,1),(70,1),(91,1),(143,1),(144,1)}
       104:{1,4,7}:{(69,1),(70,1),(71,1),(143,1),(152,1)}
       105:{1,3,4,6}:{(70,1),(72,1),(81,1),(92,1),(144,1),(145,1),(146,1),(153,1),(244,1),(254,1),(358,1)}
       106:{3,4,7}:{(71,1),(72,1),(83,1),(501,1)}
       107:{3,4,6}:{(73,1),(138,1),(148,1),(248,1),(345,1)}
       108:{3,4,6,7}:{(74,1),(75,1),(139,1),(149,1),(152,1),(241,1),(248,1),(345,1),(544,1),(546,1),(551,1)}
       109:{3,5}:{(74,1),(140,1),(150,1)}
       110:{3,5,7}:{(75,1),(76,1),(77,1),(152,1)}
       111:{4,6}:{(76,1),(150,1),(152,1)}
       112:{2,5,6,7}:{(77,1),(79,1),(151,1),(154,1),(238,1),(355,1)}
       113:{2,4,5,7}:{(77,1),(78,1),(80,1),(143,1),(152,1),(154,1),(155,1),(158,1),(251,1),(253,1),(355,1)}
       114:{3,5,6}:{(78,1),(144,1),(153,1),(155,1),(240,1),(345,1)}
       115:{1,4,6,7}:{(79,1),(80,1),(82,1),(154,1),(157,1),(258,1),(336,1)}
       116:{1,3,5,7}:{(80,1),(81,1),(83,1),(145,1),(155,1),(157,1),(158,1)}
       117:{2,5,6}:{(81,1),(146,1),(158,1),(159,1),(338,1),(428,1)}
       118:{3,6,7}:{(82,1),(83,1),(420,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(132,1),(160,1),(163,1),(164,1),(221,1),(429,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(133,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(340,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(231,1),(261,1),(266,1),(271,1),(338,1),(354,1),(366,1),(367,1),(430,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(138,1),(163,1),(345,1),(428,1)}
       126:{2,3,5}:{(89,1),(140,1),(164,1),(169,1),(240,1),(338,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(144,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(338,1)}
       130:{2,4,7}:{(93,1),(94,1),(173,1),(175,1),(210,1)}
       131:{2,3,6}:{(93,1),(95,1),(175,1),(208,1),(272,1)}
       132:{1,4,5,7}:{(94,1),(98,1),(121,1),(174,1),(178,1),(180,1),(213,1),(281,1),(315,1)}
       133:{1,4,6}:{(94,1),(95,1),(99,1),(175,1),(180,1)}
       134:{1,3,6,7}:{(95,1),(96,1),(100,1),(176,1),(179,1),(181,1),(385,1),(465,1),(516,1)}
       135:{1,3,5,6}:{(95,1),(97,1),(101,1),(123,1),(177,1),(180,1),(181,1),(182,1),(184,1),(283,1),(285,1),(289,1),(385,1),(387,1),(465,1),(467,1),(516,1),(542,1)}
       136:{1,2,5,7}:{(96,1),(97,1),(102,1),(181,1),(183,1),(207,1),(310,1),(311,1),(386,1),(390,1),(464,1),(512,1)}
       137:{1,2,4,6}:{(97,1),(103,1),(124,1),(182,1),(183,1),(184,1),(194,1),(287,1),(299,1),(308,1),(312,1),(409,1),(477,1),(506,1)}
       138:{2,4,6}:{(98,1),(107,1),(125,1),(178,1),(186,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(108,1),(179,1),(187,1),(189,1),(293,1),(541,1)}
       140:{2,5}:{(99,1),(109,1),(180,1)}
       141:{2,3,5,7}:{(100,1),(101,1),(102,1),(110,1),(181,1),(187,1),(189,1),(191,1),(288,1),(294,1),(386,1),(512,1),(537,1),(548,1)}
       142:{2,4,6}:{(101,1),(111,1),(127,1),(182,1),(188,1),(189,1),(190,1),(515,1),(549,1)}
       143:{2,4,7}:{(102,1),(103,1),(104,1),(191,1)}
       144:{3,6}:{(103,1),(128,1),(191,1)}
       145:{1,3,4,7}:{(104,1),(105,1),(106,1),(116,1),(191,1),(193,1),(201,1),(298,1),(307,1),(403,1)}
       146:{2,4,6}:{(105,1),(117,1),(129,1),(192,1),(193,1),(194,1),(299,1)}
       147:{3,4,6,7}:{(107,1),(185,1),(195,1),(300,1),(320,1),(391,1)}
       148:{3,5,6}:{(107,1),(109,1),(186,1),(195,1),(196,1)}
       149:{3,5,7}:{(108,1),(109,1),(187,1),(197,1),(198,1),(550,1)}
       150:{4,5}:{(109,1),(111,1)}
       151:{3,5,6,7}:{(110,1),(112,1),(197,1),(200,1),(203,1),(305,1)}
       152:{4,7}:{(110,1),(111,1)}
       153:{3,4,6}:{(111,1),(114,1),(199,1),(201,1),(202,1)}
       154:{2,4,6,7}:{(112,1),(113,1),(115,1),(200,1),(203,1),(206,1),(293,1)}
       155:{3,5,7}:{(113,1),(114,1),(191,1),(201,1),(203,1)}
       156:{2,3,5,6}:{(114,1),(117,1),(192,1),(202,1),(204,1),(205,1),(295,1),(392,1),(397,1)}
       157:{1,3,6,7}:{(115,1),(116,1),(118,1),(203,1),(206,1),(385,1)}
       158:{2,5,7}:{(116,1),(117,1),(193,1),(206,1),(207,1)}
       159:{1,5,6}:{(117,1),(194,1),(207,1),(387,1),(465,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(178,1),(208,1),(272,1),(465,1)}
       164:{1,3,5}:{(122,1),(126,1),(180,1),(209,1),(213,1),(274,1),(313,1),(387,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(400,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(185,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(186,1),(212,1),(216,1),(217,1),(292,1),(384,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(192,1),(219,1),(220,1),(400,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(387,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(412,1)}
       174:{2,4,5,7}:{(130,1),(132,1),(160,1),(221,1),(223,1),(225,1),(261,1),(325,1),(326,1),(360,1),(412,1)}
       175:{2,4,6}:{(130,1),(131,1),(133,1),(222,1),(225,1)}
       176:{2,3,6,7}:{(131,1),(134,1),(224,1),(226,1),(259,1),(322,1),(359,1),(420,1),(428,1),(442,1),(497,1)}
       177:{2,3,5,6}:{(131,1),(135,1),(162,1),(225,1),(226,1),(227,1),(235,1),(257,1),(260,1),(323,1),(328,1),(330,1),(338,1),(358,1),(361,1),(420,1),(428,1),(435,1),(497,1),(499,1),(533,1)}
       178:{1,4,6}:{(132,1),(138,1),(163,1),(223,1),(229,1)}
       179:{1,4,6,7}:{(133,1),(134,1),(139,1),(224,1),(230,1),(232,1),(336,1),(532,1)}
       180:{1,5}:{(133,1),(140,1),(225,1)}
       181:{1,3,5,7}:{(134,1),(135,1),(136,1),(141,1),(226,1),(230,1),(232,1),(234,1),(341,1),(429,1)}
       182:{1,4,6}:{(135,1),(142,1),(165,1),(227,1),(231,1),(232,1),(496,1)}
       183:{1,2,4,7}:{(136,1),(137,1),(143,1),(232,1),(234,1),(245,1),(339,1),(350,1),(357,1),(360,1),(447,1),(502,1),(523,1)}
       184:{1,3,6}:{(137,1),(144,1),(166,1),(234,1),(235,1),(358,1),(361,1),(524,1)}
       185:{2,4,6,7}:{(138,1),(147,1),(167,1),(228,1),(236,1),(268,1)}
       186:{2,5,6}:{(138,1),(140,1),(148,1),(229,1),(236,1)}
       187:{2,5,7}:{(139,1),(140,1),(149,1),(230,1),(238,1),(547,1)}
       188:{2,4,5}:{(140,1),(142,1),(150,1),(231,1),(240,1),(338,1),(547,1),(552,1)}
       189:{2,4,7}:{(141,1),(142,1),(152,1),(232,1),(241,1),(551,1)}
       190:{3,4,6}:{(142,1),(144,1),(170,1),(240,1),(241,1),(345,1),(524,1),(528,1)}
       191:{3,7}:{(143,1),(144,1)}
       192:{2,3,6}:{(144,1),(146,1),(171,1),(243,1),(244,1),(358,1)}
       193:{2,4,7}:{(145,1),(146,1),(158,1),(243,1),(245,1),(350,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(244,1),(245,1)}
       195:{3,5,7}:{(147,1),(148,1),(236,1),(247,1)}
       196:{4,5,6}:{(148,1),(150,1),(247,1),(248,1)}
       197:{3,5,6}:{(149,1),(238,1),(248,1),(345,1)}
       198:{4,5,7}:{(149,1),(150,1),(152,1),(248,1),(551,1),(552,1)}
       199:{3,4,5}:{(150,1),(153,1),(240,1),(250,1),(528,1)}
       200:{4,6,7}:{(151,1),(152,1),(248,1),(251,1)}
       201:{3,4,7}:{(152,1),(153,1),(155,1),(253,1)}
       202:{2,4,6}:{(153,1),(156,1),(250,1),(253,1),(254,1)}
       203:{3,6,7}:{(154,1),(155,1),(345,1)}
       204:{2,3,5,7}:{(155,1),(156,1),(158,1),(243,1),(253,1),(255,1),(256,1),(355,1)}
       205:{1,3,5,6}:{(156,1),(159,1),(244,1),(254,1),(256,1),(257,1),(347,1),(358,1),(433,1),(437,1),(499,1)}
       206:{2,6,7}:{(157,1),(158,1),(258,1),(428,1)}
       207:{1,5,7}:{(158,1),(159,1),(245,1),(258,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(228,1),(259,1),(263,1),(322,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(229,1),(260,1),(263,1),(264,1),(323,1),(361,1),(427,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(440,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(338,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(236,1),(263,1),(268,1),(344,1),(426,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(240,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(440,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(244,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(174,1),(272,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(175,1),(272,1),(274,1),(370,1)}
       223:{2,4,6}:{(174,1),(178,1),(208,1),(272,1),(276,1),(370,1)}
       224:{2,4,6,7}:{(175,1),(176,1),(179,1),(273,1),(277,1),(279,1),(377,1),(518,1)}
       225:{2,5}:{(175,1),(180,1),(274,1)}
       226:{2,3,5,7}:{(176,1),(177,1),(181,1),(277,1),(279,1),(288,1),(310,1),(311,1),(369,1),(378,1),(386,1),(403,1),(404,1),(475,1)}
       227:{2,4,6}:{(177,1),(182,1),(210,1),(278,1),(279,1),(280,1),(370,1),(471,1),(519,1)}
       228:{1,4,6,7}:{(178,1),(185,1),(211,1),(275,1),(281,1),(315,1)}
       229:{1,5,6}:{(178,1),(180,1),(186,1),(276,1),(281,1)}
       230:{1,5,7}:{(179,1),(180,1),(187,1),(277,1),(283,1),(542,1)}
       231:{1,4,5}:{(180,1),(182,1),(188,1),(278,1),(285,1),(387,1),(542,1)}
       232:{1,4,7}:{(181,1),(182,1),(189,1),(279,1)}
       233:{1,3,4,6}:{(182,1),(184,1),(190,1),(214,1),(280,1),(285,1),(286,1),(287,1),(385,1)}
       234:{1,3,7}:{(183,1),(184,1),(191,1),(288,1),(403,1),(404,1),(537,1)}
       235:{2,3,6}:{(184,1),(215,1),(287,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,7}:{(185,1),(186,1),(195,1),(281,1)}
       237:{2,4,5,6}:{(186,1),(188,1),(196,1),(217,1),(282,1),(291,1),(292,1),(293,1),(384,1),(506,1),(538,1),(549,1)}
       238:{2,5,6}:{(187,1),(197,1),(283,1),(293,1)}
       239:{2,4,5,7}:{(187,1),(188,1),(189,1),(198,1),(284,1),(293,1),(294,1),(386,1)}
       240:{3,5}:{(188,1),(190,1)}
       241:{3,4,7}:{(189,1),(190,1),(191,1),(294,1),(537,1)}
       242:{2,3,4,6}:{(190,1),(192,1),(202,1),(219,1),(287,1),(295,1),(296,1),(297,1),(392,1),(462,1),(515,1),(541,1)}
       243:{2,3,7}:{(191,1),(192,1),(193,1),(298,1),(403,1)}
       244:{1,3,6}:{(192,1),(194,1),(220,1),(298,1),(299,1)}
       245:{1,4,7}:{(193,1),(194,1),(207,1),(298,1)}
       246:{3,5,6,7}:{(195,1),(197,1),(290,1),(300,1),(391,1),(548,1)}
       247:{4,5,7}:{(195,1),(196,1),(300,1)}
       248:{4,6}:{(197,1),(198,1)}
       249:{3,4,5,7}:{(198,1),(199,1),(201,1),(294,1),(302,1),(303,1),(305,1),(540,1),(550,1)}
       250:{2,4,5}:{(199,1),(202,1),(295,1),(304,1),(515,1)}
       251:{4,5,7}:{(200,1),(301,1),(305,1)}
       252:{3,4,6,7}:{(200,1),(201,1),(203,1),(302,1),(305,1),(306,1)}
       253:{2,4,7}:{(201,1),(202,1),(204,1),(307,1)}
       254:{1,4,6}:{(202,1),(205,1),(304,1),(307,1),(308,1),(519,1)}
       255:{2,3,6,7}:{(203,1),(204,1),(206,1),(306,1),(309,1),(392,1)}
       256:{1,3,5,7}:{(204,1),(205,1),(207,1),(298,1),(307,1),(309,1),(310,1),(401,1),(403,1),(475,1)}
       257:{2,5,6}:{(205,1),(299,1),(308,1),(310,1),(394,1),(469,1)}
       258:{1,6,7}:{(206,1),(207,1),(465,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(281,1),(311,1),(315,1),(369,1),(404,1),(464,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(370,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(285,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(387,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(292,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,6}:{(221,1),(223,1)}
       273:{3,4,6,7}:{(222,1),(224,1),(322,1),(324,1),(331,1),(412,1),(414,1),(420,1),(442,1),(500,1),(501,1)}
       274:{3,5}:{(222,1),(225,1),(325,1)}
       275:{2,4,6,7}:{(223,1),(228,1),(259,1),(322,1),(326,1),(360,1),(412,1)}
       276:{2,5,6}:{(223,1),(225,1),(229,1),(323,1),(326,1)}
       277:{2,5,7}:{(224,1),(225,1),(230,1),(324,1),(328,1),(533,1)}
       278:{2,4,5}:{(225,1),(227,1),(231,1),(325,1),(330,1),(338,1),(533,1),(534,1)}
       279:{2,4,7}:{(226,1),(227,1),(232,1),(331,1),(412,1),(501,1)}
       280:{3,4,6}:{(227,1),(262,1),(330,1),(331,1),(358,1),(361,1),(420,1),(440,1)}
       281:{1,5,7}:{(228,1),(229,1),(236,1),(326,1)}
       282:{1,4,5,6}:{(229,1),(231,1),(237,1),(264,1),(327,1),(334,1),(335,1),(336,1),(427,1),(481,1),(525,1)}
       283:{1,5,6}:{(230,1),(238,1),(328,1),(336,1)}
       284:{1,4,5,7}:{(230,1),(231,1),(232,1),(239,1),(329,1),(336,1),(337,1),(429,1)}
       285:{1,3,5}:{(231,1),(233,1),(240,1),(330,1),(338,1)}
       286:{1,3,4,7}:{(232,1),(233,1),(234,1),(241,1),(331,1),(337,1),(339,1)}
       287:{2,4,6}:{(233,1),(235,1),(266,1),(338,1),(339,1),(340,1),(428,1)}
       288:{2,3,7}:{(234,1),(235,1),(339,1),(341,1),(350,1),(502,1)}
       289:{1,3,6}:{(235,1),(267,1),(340,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(238,1),(246,1),(333,1),(343,1),(543,1)}
       291:{2,4,5,7}:{(236,1),(237,1),(247,1),(268,1),(334,1),(343,1),(344,1),(426,1),(523,1),(543,1),(551,1)}
       292:{3,5,6}:{(237,1),(240,1),(269,1),(344,1),(345,1),(524,1)}
       293:{2,4,6}:{(238,1),(239,1),(248,1),(336,1),(345,1),(428,1)}
       294:{3,5,7}:{(239,1),(240,1),(241,1),(345,1)}
       295:{2,3,5}:{(240,1),(242,1),(250,1),(338,1),(347,1),(547,1)}
       296:{2,3,4,7}:{(241,1),(242,1),(243,1),(253,1),(339,1),(346,1),(348,1),(492,1),(531,1)}
       297:{1,3,4,6}:{(242,1),(244,1),(254,1),(270,1),(340,1),(347,1),(348,1),(349,1),(358,1),(432,1),(433,1),(440,1),(496,1),(500,1),(532,1)}
       298:{1,3,7}:{(243,1),(244,1),(245,1),(350,1)}
       299:{2,6}:{(244,1),(271,1),(350,1)}
       300:{4,6,7}:{(246,1),(247,1),(248,1),(551,1)}
       301:{4,5,6}:{(248,1),(251,1),(351,1),(552,1)}
       302:{3,4,6}:{(248,1),(249,1),(345,1),(351,1),(352,1)}
       303:{2,4,5,7}:{(249,1),(250,1),(253,1),(346,1),(352,1),(353,1),(355,1),(531,1),(547,1)}
       304:{1,4,5}:{(250,1),(254,1),(347,1),(354,1),(496,1),(534,1)}
       305:{3,5,7}:{(251,1),(252,1),(351,1),(355,1)}
       306:{2,4,6,7}:{(252,1),(253,1),(255,1),(352,1),(355,1),(356,1)}
       307:{1,4,7}:{(253,1),(254,1),(256,1),(357,1),(501,1)}
       308:{2,4,6}:{(254,1),(257,1),(354,1),(357,1),(358,1)}
       309:{1,3,6,7}:{(255,1),(256,1),(258,1),(356,1),(359,1),(433,1),(442,1)}
       310:{2,5,7}:{(256,1),(257,1),(350,1),(357,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(412,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(335,1),(361,1),(364,1),(365,1),(413,1),(444,1),(481,1),(524,1)}
       317:{2,4,5}:{(265,1),(266,1),(338,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(344,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,6,7}:{(272,1),(275,1),(369,1),(404,1)}
       323:{3,5,6}:{(272,1),(274,1),(276,1),(369,1),(370,1)}
       324:{3,5,7}:{(273,1),(274,1),(277,1),(371,1),(372,1),(520,1)}
       325:{4,5}:{(274,1),(370,1)}
       326:{2,5,7}:{(275,1),(276,1),(281,1),(369,1)}
       327:{2,4,5,6}:{(276,1),(278,1),(282,1),(312,1),(370,1),(375,1),(376,1),(377,1),(384,1),(450,1),(451,1),(507,1)}
       328:{2,5,6}:{(277,1),(283,1),(371,1),(377,1)}
       329:{2,4,5,7}:{(277,1),(278,1),(279,1),(284,1),(372,1),(377,1),(378,1),(386,1)}
       330:{3,5}:{(278,1),(280,1)}
       331:{3,4,7}:{(279,1),(280,1),(378,1),(403,1),(404,1)}
       332:{2,3,4,6}:{(280,1),(287,1),(314,1),(379,1),(380,1),(381,1),(396,1),(405,1),(450,1),(458,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(283,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,5,7}:{(281,1),(282,1),(291,1),(315,1),(375,1),(382,1),(383,1),(464,1),(505,1),(535,1)}
       335:{1,3,5,6}:{(282,1),(285,1),(292,1),(316,1),(376,1),(383,1),(384,1),(385,1)}
       336:{1,4,6}:{(283,1),(284,1),(293,1),(377,1),(385,1),(465,1)}
       337:{1,3,5,7}:{(284,1),(285,1),(286,1),(294,1),(378,1),(385,1),(386,1)}
       338:{2,5}:{(285,1),(287,1),(387,1)}
       339:{2,4,7}:{(286,1),(287,1),(288,1),(386,1),(388,1)}
       340:{1,4,6}:{(287,1),(289,1),(318,1),(387,1),(388,1),(465,1)}
       341:{1,3,7}:{(288,1),(289,1),(388,1),(390,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(390,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(293,1),(300,1),(382,1),(391,1),(463,1)}
       344:{3,5,7}:{(291,1),(292,1),(320,1),(391,1),(537,1)}
       345:{3,6}:{(293,1),(294,1)}
       346:{2,3,5,7}:{(294,1),(295,1),(296,1),(303,1),(386,1),(392,1),(393,1)}
       347:{1,3,5}:{(295,1),(297,1),(304,1),(387,1),(394,1),(400,1),(520,1),(542,1)}
       348:{1,3,4,7}:{(296,1),(297,1),(298,1),(307,1),(388,1),(393,1),(395,1),(403,1),(468,1),(474,1),(517,1)}
       349:{2,4,6}:{(297,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       350:{2,7}:{(298,1),(299,1)}
       351:{3,5,6}:{(301,1),(302,1),(305,1),(397,1),(550,1)}
       352:{2,4,6}:{(302,1),(303,1),(392,1),(397,1),(398,1)}
       353:{1,4,5,7}:{(303,1),(304,1),(307,1),(393,1),(398,1),(399,1),(401,1),(517,1),(542,1)}
       354:{2,4,5}:{(304,1),(308,1),(394,1),(400,1),(471,1)}
       355:{2,5,7}:{(305,1),(306,1),(397,1),(401,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(309,1),(398,1),(401,1),(402,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(403,1)}
       358:{3,6}:{(308,1),(400,1),(403,1)}
       359:{2,6,7}:{(309,1),(310,1),(469,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(383,1),(404,1),(408,1),(449,1),(476,1),(505,1),(537,1)}
       365:{2,4,6}:{(316,1),(317,1),(384,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(387,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,7}:{(322,1),(323,1),(326,1),(412,1)}
       370:{4,6}:{(323,1),(325,1),(412,1)}
       371:{3,5,6}:{(324,1),(328,1),(414,1),(420,1)}
       372:{4,5,7}:{(324,1),(325,1),(412,1),(414,1),(501,1),(534,1)}
       373:{3,4,5}:{(325,1),(330,1),(413,1),(416,1),(440,1)}
       374:{2,5,6,7}:{(326,1),(328,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,5,7}:{(326,1),(327,1),(334,1),(360,1),(412,1),(417,1),(418,1),(426,1),(478,1),(480,1),(521,1)}
       376:{3,5,6}:{(327,1),(330,1),(361,1),(413,1),(418,1),(420,1)}
       377:{2,4,6}:{(328,1),(329,1),(336,1),(414,1),(420,1),(428,1)}
       378:{3,5,7}:{(329,1),(330,1),(331,1),(420,1)}
       379:{2,3,5}:{(330,1),(332,1),(338,1),(416,1),(422,1),(533,1)}
       380:{2,3,4,7}:{(331,1),(332,1),(339,1),(421,1),(423,1),(436,1),(443,1),(480,1),(498,1)}
       381:{1,3,4,6}:{(332,1),(340,1),(363,1),(422,1),(423,1),(424,1),(432,1),(444,1),(481,1),(489,1),(496,1),(524,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(336,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,5,7}:{(334,1),(335,1),(344,1),(364,1),(418,1),(425,1),(426,1)}
       384:{2,5,6}:{(335,1),(338,1),(365,1),(426,1),(427,1),(428,1)}
       385:{1,3,6}:{(336,1),(337,1),(345,1),(420,1),(428,1)}
       386:{2,5,7}:{(337,1),(338,1),(339,1),(428,1),(429,1)}
       387:{1,5}:{(338,1),(340,1)}
       388:{1,4,7}:{(339,1),(340,1),(341,1),(429,1)}
       389:{1,2,4,6}:{(340,1),(342,1),(349,1),(367,1),(424,1),(430,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       390:{1,2,7}:{(341,1),(342,1),(350,1),(502,1)}
       391:{3,6,7}:{(343,1),(344,1),(345,1)}
       392:{2,3,6}:{(345,1),(346,1),(352,1),(428,1),(433,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(429,1),(433,1),(434,1),(439,1)}
       394:{2,5}:{(347,1),(349,1)}
       395:{2,4,7}:{(348,1),(349,1),(350,1),(434,1),(436,1)}
       396:{2,3,6}:{(349,1),(358,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,4,6}:{(352,1),(353,1),(433,1),(437,1),(438,1)}
       399:{2,4,5,7}:{(353,1),(354,1),(357,1),(434,1),(438,1),(439,1),(441,1),(498,1),(501,1),(533,1),(534,1)}
       400:{3,5}:{(354,1),(358,1),(440,1)}
       401:{1,5,7}:{(355,1),(356,1),(437,1),(441,1)}
       402:{2,4,6,7}:{(356,1),(357,1),(359,1),(438,1),(441,1),(442,1),(501,1)}
       403:{3,7}:{(357,1),(358,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(524,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(426,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(427,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(448,1),(455,1),(503,1)}
       412:{4,7}:{(369,1),(370,1)}
       413:{3,4,6}:{(370,1),(373,1),(376,1),(449,1),(450,1)}
       414:{4,6}:{(371,1),(372,1)}
       415:{3,4,5,7}:{(372,1),(373,1),(378,1),(449,1),(452,1),(453,1),(474,1),(503,1),(520,1)}
       416:{2,4,5}:{(373,1),(379,1),(450,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(377,1),(382,1),(448,1),(455,1),(463,1)}
       418:{3,5,7}:{(375,1),(376,1),(404,1),(449,1),(455,1)}
       419:{2,3,5,6}:{(376,1),(379,1),(384,1),(405,1),(450,1),(456,1),(457,1),(458,1),(507,1)}
       420:{3,6}:{(377,1),(378,1)}
       421:{2,3,5,7}:{(378,1),(379,1),(380,1),(386,1),(453,1),(458,1),(459,1)}
       422:{1,3,5}:{(379,1),(381,1),(387,1),(454,1),(460,1),(510,1),(542,1),(550,1)}
       423:{1,3,4,7}:{(380,1),(381,1),(388,1),(459,1),(461,1),(468,1),(476,1),(505,1),(517,1),(537,1),(540,1)}
       424:{2,4,6}:{(381,1),(407,1),(460,1),(461,1),(462,1),(477,1),(513,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(385,1),(391,1),(455,1),(463,1)}
       426:{2,5,7}:{(383,1),(384,1),(408,1),(463,1),(464,1)}
       427:{1,5,6}:{(384,1),(387,1),(409,1),(464,1),(465,1)}
       428:{2,6}:{(385,1),(386,1),(465,1)}
       429:{1,5,7}:{(386,1),(387,1),(388,1),(465,1)}
       430:{1,2,5}:{(387,1),(389,1),(394,1),(460,1),(467,1),(542,1)}
       431:{1,2,4,7}:{(388,1),(389,1),(390,1),(395,1),(461,1),(466,1),(468,1),(517,1)}
       432:{1,3,6}:{(389,1),(396,1),(410,1),(462,1),(467,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(398,1),(465,1),(469,1),(473,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,5}:{(394,1),(396,1),(400,1),(467,1),(471,1)}
       436:{2,3,7}:{(395,1),(396,1),(403,1),(468,1)}
       437:{1,5,6}:{(397,1),(398,1),(401,1),(472,1),(542,1)}
       438:{2,4,6}:{(398,1),(399,1),(469,1),(472,1),(473,1),(519,1)}
       439:{3,5,7}:{(399,1),(400,1),(403,1),(473,1),(474,1),(520,1)}
       440:{3,4}:{(400,1),(471,1)}
       441:{2,5,7}:{(401,1),(402,1),(472,1),(475,1)}
       442:{3,6,7}:{(402,1),(403,1),(473,1),(475,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(537,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(464,1),(476,1)}
       448:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       449:{3,4,7}:{(412,1),(413,1),(418,1),(480,1)}
       450:{2,4,6}:{(413,1),(416,1),(419,1),(480,1),(481,1)}
       451:{4,5,6}:{(414,1),(478,1),(482,1),(534,1)}
       452:{3,4,6}:{(414,1),(415,1),(420,1),(482,1),(483,1)}
       453:{2,4,5,7}:{(415,1),(416,1),(421,1),(480,1),(483,1),(484,1),(498,1),(521,1),(533,1)}
       454:{1,4,5}:{(416,1),(422,1),(481,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(420,1)}
       456:{2,3,5,7}:{(418,1),(419,1),(426,1),(443,1),(480,1),(486,1),(487,1),(521,1)}
       457:{1,3,5,6}:{(419,1),(422,1),(427,1),(444,1),(481,1),(487,1),(488,1),(489,1),(524,1),(525,1),(545,1)}
       458:{2,3,6}:{(420,1),(421,1),(428,1),(483,1),(489,1)}
       459:{1,3,5,7}:{(421,1),(422,1),(423,1),(429,1),(484,1),(489,1),(490,1),(527,1)}
       460:{2,5}:{(422,1),(424,1)}
       461:{2,4,7}:{(423,1),(424,1),(490,1),(492,1),(502,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(491,1),(492,1),(524,1)}
       463:{2,6,7}:{(425,1),(426,1),(428,1),(493,1)}
       464:{1,5,7}:{(426,1),(427,1),(447,1),(493,1)}
       465:{1,6}:{(428,1),(429,1)}
       466:{1,2,5,7}:{(429,1),(430,1),(431,1),(434,1),(490,1),(494,1),(495,1)}
       467:{1,3,5}:{(430,1),(432,1),(435,1),(491,1),(496,1)}
       468:{1,3,7}:{(431,1),(432,1),(436,1),(492,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(439,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(435,1),(440,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(441,1),(499,1),(533,1)}
       473:{3,6}:{(438,1),(439,1)}
       474:{3,4,7}:{(439,1),(440,1),(498,1),(500,1),(501,1)}
       475:{3,5,7}:{(441,1),(442,1),(499,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(451,1),(503,1)}
       479:{3,4,6,7}:{(448,1),(449,1),(452,1),(455,1),(503,1),(504,1)}
       480:{2,4,7}:{(449,1),(450,1),(456,1),(505,1)}
       481:{1,4,6}:{(450,1),(454,1),(457,1),(505,1),(506,1),(549,1)}
       482:{3,5,6}:{(451,1),(452,1),(503,1),(507,1),(520,1)}
       483:{2,4,6}:{(452,1),(453,1),(458,1),(507,1),(508,1)}
       484:{1,4,5,7}:{(453,1),(454,1),(459,1),(505,1),(508,1),(509,1),(517,1),(535,1),(542,1)}
       485:{2,4,5}:{(454,1),(460,1),(506,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(458,1),(463,1),(504,1),(511,1)}
       487:{1,3,5,7}:{(456,1),(457,1),(464,1),(476,1),(505,1),(511,1),(512,1),(535,1),(537,1),(548,1)}
       488:{2,5,6}:{(457,1),(460,1),(477,1),(506,1),(512,1),(513,1)}
       489:{1,3,6}:{(458,1),(459,1),(465,1),(508,1),(513,1),(539,1)}
       490:{2,5,7}:{(459,1),(460,1),(461,1),(513,1)}
       491:{2,3,5}:{(460,1),(462,1),(467,1),(510,1),(515,1)}
       492:{2,3,7}:{(461,1),(462,1),(468,1),(537,1)}
       493:{1,6,7}:{(463,1),(464,1),(465,1)}
       494:{1,2,6}:{(465,1),(466,1),(469,1),(513,1),(516,1)}
       495:{1,3,5,7}:{(466,1),(467,1),(468,1),(470,1),(514,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(467,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(473,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(474,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(475,1),(519,1),(520,1)}
       500:{3,4,6}:{(473,1),(474,1),(518,1),(519,1),(520,1)}
       501:{4,7}:{(475,1),(519,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(482,1),(521,1)}
       504:{2,4,6,7}:{(479,1),(480,1),(483,1),(486,1),(521,1),(522,1)}
       505:{1,4,7}:{(480,1),(481,1),(487,1),(523,1),(551,1)}
       506:{2,4,6}:{(481,1),(485,1),(488,1),(523,1),(524,1)}
       507:{2,5,6}:{(482,1),(483,1),(521,1),(525,1),(533,1)}
       508:{1,4,6}:{(483,1),(484,1),(489,1),(525,1),(526,1)}
       509:{2,4,5,7}:{(484,1),(485,1),(490,1),(523,1),(526,1),(527,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       510:{3,5}:{(485,1),(524,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(489,1),(493,1),(522,1),(529,1),(544,1)}
       512:{2,5,7}:{(487,1),(488,1),(502,1),(523,1),(529,1)}
       513:{2,6}:{(489,1),(490,1)}
       514:{2,3,5,7}:{(490,1),(491,1),(492,1),(495,1),(527,1),(530,1),(531,1),(547,1)}
       515:{2,4}:{(491,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(500,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(501,1),(534,1)}
       520:{3,5}:{(500,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(507,1),(535,1)}
       522:{1,4,6,7}:{(504,1),(505,1),(508,1),(511,1),(535,1),(536,1)}
       523:{2,4,7}:{(505,1),(506,1),(512,1),(537,1)}
       524:{3,6}:{(506,1),(510,1),(537,1)}
       525:{1,5,6}:{(507,1),(508,1),(535,1),(538,1),(542,1)}
       526:{2,4,6}:{(508,1),(509,1),(513,1),(538,1),(539,1),(549,1)}
       527:{3,5,7}:{(509,1),(510,1),(537,1),(539,1),(540,1),(550,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(513,1)}
       530:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       531:{2,4,7}:{(514,1),(515,1),(517,1),(540,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(525,1),(543,1)}
       536:{2,4,6,7}:{(522,1),(523,1),(526,1),(529,1),(543,1),(544,1),(551,1)}
       537:{3,7}:{(523,1),(524,1)}
       538:{2,5,6}:{(525,1),(526,1),(543,1),(545,1),(547,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{3,4,7}:{(527,1),(528,1),(531,1),(546,1),(551,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(538,1),(548,1)}
       544:{3,6,7}:{(536,1),(537,1),(539,1),(548,1)}
       545:{3,5,6}:{(538,1),(539,1),(548,1),(549,1),(550,1)}
       546:{3,4,6}:{(539,1),(540,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(545,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 777 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(124,1)}
         1:{4,5,6}:{(6,1),(7,1),(135,1),(149,1)}
         2:{3,4,6}:{(0,1),(6,1),(8,1),(9,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(76,1),(111,1)}
         4:{2,3,4}:{(5,1),(11,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(12,1),(13,1)}
         6:{3,5,6}:{(1,1),(2,1),(14,1),(15,1),(124,1),(146,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{2,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1),(18,1)}
         9:{3,4,7}:{(2,1),(15,1),(18,1)}
        10:{1,4,5}:{(3,1),(13,1),(17,1),(19,1),(62,1),(96,1)}
        11:{1,3,4}:{(4,1),(13,1),(20,1),(42,1),(43,1),(62,1)}
        12:{2,3,6}:{(5,1),(8,1),(21,1),(22,1)}
        13:{1,3,5}:{(5,1),(10,1),(11,1),(21,1),(23,1),(30,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(111,1),(140,1)}
        15:{3,5,7}:{(6,1),(7,1),(9,1),(25,1),(26,1)}
        16:{4,6,7}:{(7,1),(26,1),(27,1),(149,1)}
        17:{1,4,6}:{(8,1),(10,1),(21,1),(24,1),(28,1),(29,1)}
        18:{2,4,7}:{(8,1),(9,1),(22,1),(25,1),(29,1)}
        19:{2,4,5}:{(10,1),(23,1),(28,1),(30,1),(49,1),(80,1),(83,1)}
        20:{2,4}:{(11,1),(23,1),(32,1)}
        21:{1,3,6}:{(12,1),(13,1),(17,1),(34,1),(35,1),(40,1)}
        22:{2,3,7}:{(12,1),(18,1),(35,1)}
        23:{2,5}:{(13,1),(20,1),(34,1)}
        24:{1,5,6}:{(14,1),(17,1),(37,1),(38,1),(96,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1)}
        26:{3,6,7}:{(15,1),(16,1),(39,1),(146,1)}
        27:{5,6,7}:{(16,1),(152,1)}
        28:{2,4,6}:{(17,1),(19,1),(34,1),(37,1),(40,1),(41,1),(66,1)}
        29:{1,4,7}:{(17,1),(18,1),(35,1),(38,1),(41,1)}
        30:{3,5}:{(19,1),(40,1),(42,1)}
        31:{1,2,4}:{(20,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(20,1),(43,1)}
        33:{1,2,5}:{(23,1),(31,1),(45,1),(46,1),(89,1)}
        34:{2,6}:{(21,1),(23,1),(48,1)}
        35:{1,3,7}:{(21,1),(22,1),(29,1),(48,1),(54,1)}
        36:{2,3,5}:{(23,1),(30,1),(32,1),(46,1),(47,1),(49,1),(80,1)}
        37:{2,5,6}:{(24,1),(28,1),(50,1),(51,1),(80,1),(118,1)}
        38:{1,5,7}:{(24,1),(25,1),(29,1),(51,1),(52,1)}
        39:{2,6,7}:{(25,1),(26,1),(52,1),(140,1)}
        40:{3,6}:{(28,1),(30,1),(54,1)}
        41:{2,4,7}:{(28,1),(29,1),(48,1),(51,1),(54,1),(84,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(34,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(60,1),(62,1),(96,1)}
        47:{2,3,6}:{(34,1),(36,1),(40,1),(60,1),(63,1),(64,1)}
        48:{2,7}:{(34,1),(35,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{3,5,6}:{(37,1),(40,1),(66,1),(67,1),(69,1),(106,1),(134,1)}
        51:{2,5,7}:{(37,1),(38,1),(41,1),(67,1),(68,1)}
        52:{1,6,7}:{(38,1),(39,1),(68,1),(131,1)}
        53:{3,4,6}:{(40,1),(42,1),(63,1),(66,1),(69,1),(70,1),(106,1)}
        54:{3,7}:{(40,1),(41,1)}
        55:{3,4,5}:{(42,1),(65,1),(69,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(111,1)}
        60:{1,3,6}:{(45,1),(46,1),(47,1),(75,1),(77,1),(78,1)}
        61:{1,2,7}:{(45,1),(48,1),(78,1),(123,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,4,6}:{(47,1),(49,1),(53,1),(77,1),(80,1),(81,1),(118,1)}
        64:{2,3,7}:{(47,1),(48,1),(54,1),(78,1),(81,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(80,1),(82,1)}
        66:{4,6}:{(50,1),(83,1),(84,1)}
        67:{3,5,7}:{(50,1),(51,1),(54,1),(84,1),(85,1),(121,1)}
        68:{2,6,7}:{(51,1),(52,1),(85,1),(118,1)}
        69:{3,5}:{(53,1),(80,1),(83,1)}
        70:{3,4,7}:{(53,1),(54,1),(81,1),(84,1),(87,1)}
        71:{3,4,6}:{(55,1),(82,1),(86,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(60,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,4,6}:{(60,1),(62,1),(63,1),(93,1),(96,1),(97,1),(131,1)}
        78:{1,3,7}:{(60,1),(61,1),(64,1),(94,1),(97,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(96,1),(98,1)}
        80:{2,5}:{(63,1),(69,1),(96,1)}
        81:{2,4,7}:{(63,1),(64,1),(70,1),(97,1),(100,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(99,1),(101,1)}
        83:{4,5}:{(66,1),(69,1)}
        84:{4,7}:{(66,1),(67,1)}
        85:{3,6,7}:{(67,1),(68,1),(104,1),(106,1)}
        86:{3,5,6}:{(69,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        87:{3,5,7}:{(69,1),(70,1),(100,1),(103,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(105,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,4,6}:{(75,1),(76,1),(77,1),(109,1),(111,1),(112,1),(140,1)}
        94:{2,3,7}:{(75,1),(78,1),(112,1),(123,1),(138,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(111,1),(113,1),(135,1)}
        96:{1,5}:{(77,1),(80,1),(111,1)}
        97:{1,4,7}:{(77,1),(78,1),(81,1),(112,1),(115,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(114,1),(116,1)}
        99:{2,5,6}:{(80,1),(82,1),(86,1),(114,1),(117,1),(118,1)}
       100:{2,5,7}:{(80,1),(81,1),(87,1),(115,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(117,1)}
       102:{4,5,6}:{(83,1),(86,1),(119,1),(120,1)}
       103:{4,5,7}:{(83,1),(84,1),(87,1),(120,1),(121,1)}
       104:{4,6,7}:{(84,1),(85,1),(120,1),(121,1)}
       105:{3,5,7}:{(86,1),(88,1),(117,1),(119,1),(122,1)}
       106:{3,6}:{(87,1),(118,1),(120,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(93,1),(124,1),(125,1),(126,1),(143,1),(146,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,5}:{(93,1),(96,1),(124,1)}
       112:{2,4,7}:{(93,1),(94,1),(97,1),(125,1),(128,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(127,1),(129,1),(143,1)}
       114:{1,5,6}:{(96,1),(98,1),(99,1),(127,1),(130,1),(131,1)}
       115:{1,5,7}:{(96,1),(97,1),(100,1),(128,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(130,1)}
       117:{2,5,7}:{(99,1),(101,1),(105,1),(130,1),(132,1)}
       118:{2,6}:{(100,1),(106,1),(131,1)}
       119:{4,5,7}:{(102,1),(105,1),(133,1)}
       120:{4,6}:{(103,1),(106,1),(134,1)}
       121:{5,7}:{(104,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(133,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,5}:{(109,1),(111,1),(135,1)}
       125:{3,4,7}:{(109,1),(112,1),(137,1),(138,1),(148,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,6}:{(111,1),(113,1),(114,1),(136,1),(139,1),(140,1)}
       128:{2,5,7}:{(111,1),(112,1),(115,1),(137,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(139,1),(148,1)}
       130:{1,5,7}:{(114,1),(116,1),(117,1),(139,1),(141,1)}
       131:{1,6}:{(115,1),(118,1),(140,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{4,6,7}:{(119,1),(120,1),(122,1),(142,1)}
       134:{5,6}:{(120,1),(121,1)}
       135:{4,5}:{(124,1),(143,1)}
       136:{3,5,6}:{(124,1),(126,1),(127,1),(143,1),(145,1),(146,1),(152,1)}
       137:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(146,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,5,7}:{(127,1),(129,1),(130,1),(145,1),(147,1)}
       140:{2,6}:{(128,1),(131,1),(146,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,6}:{(135,1),(136,1),(148,1)}
       144:{4,5,7}:{(135,1),(137,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(136,1),(138,1),(139,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(137,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 778 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(127,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(108,1),(127,1)}
         4:{3,4,6}:{(1,1),(3,1),(10,1),(11,1)}
         5:{2,5,6}:{(1,1),(10,1),(12,1),(13,1),(115,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         7:{4,6,7}:{(2,1),(14,1),(15,1),(149,1)}
         8:{2,4,5}:{(3,1),(10,1),(16,1),(17,1),(91,1),(115,1)}
         9:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(8,1),(19,1),(20,1),(21,1)}
        11:{3,4,7}:{(4,1),(6,1),(21,1)}
        12:{1,5,6}:{(5,1),(20,1),(22,1),(23,1),(100,1),(132,1)}
        13:{2,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{3,6,7}:{(6,1),(7,1),(24,1),(146,1)}
        15:{5,6,7}:{(7,1),(152,1)}
        16:{2,3,5}:{(8,1),(9,1),(19,1),(25,1)}
        17:{1,4,5}:{(8,1),(20,1),(25,1),(26,1),(75,1),(100,1)}
        18:{1,3,4}:{(9,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(10,1),(16,1),(28,1),(29,1)}
        20:{1,4,6}:{(10,1),(12,1),(17,1),(28,1),(30,1),(31,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(29,1),(31,1)}
        22:{2,5,6}:{(12,1),(30,1),(32,1),(33,1),(84,1),(120,1)}
        23:{1,5,7}:{(12,1),(13,1),(31,1),(33,1),(34,1)}
        24:{2,6,7}:{(13,1),(14,1),(34,1),(140,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(28,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(30,1),(35,1),(36,1),(56,1),(60,1),(84,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{1,3,6}:{(19,1),(20,1),(25,1),(39,1),(40,1),(41,1)}
        29:{2,3,7}:{(19,1),(21,1),(40,1)}
        30:{2,4,6}:{(20,1),(22,1),(26,1),(39,1),(41,1),(42,1),(43,1)}
        31:{1,4,7}:{(20,1),(21,1),(23,1),(40,1),(42,1)}
        32:{3,5,6}:{(22,1),(41,1),(43,1),(44,1),(69,1),(105,1),(107,1)}
        33:{2,5,7}:{(22,1),(23,1),(42,1),(44,1),(45,1)}
        34:{1,6,7}:{(23,1),(24,1),(45,1),(132,1)}
        35:{2,5}:{(25,1),(27,1),(39,1)}
        36:{3,5}:{(26,1),(41,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{2,6}:{(28,1),(35,1),(53,1)}
        40:{1,3,7}:{(28,1),(29,1),(31,1),(53,1),(55,1)}
        41:{3,6}:{(30,1),(36,1),(55,1)}
        42:{2,4,7}:{(30,1),(31,1),(33,1),(53,1),(55,1),(57,1)}
        43:{4,6}:{(32,1),(56,1),(57,1)}
        44:{3,5,7}:{(32,1),(33,1),(55,1),(57,1),(58,1),(90,1)}
        45:{2,6,7}:{(33,1),(34,1),(58,1),(120,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(52,1),(59,1),(60,1),(84,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(39,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,3,6}:{(39,1),(41,1),(47,1),(65,1),(67,1),(68,1)}
        53:{2,7}:{(39,1),(40,1)}
        54:{3,4,6}:{(41,1),(43,1),(48,1),(67,1),(69,1),(70,1),(105,1)}
        55:{3,7}:{(41,1),(42,1)}
        56:{4,5}:{(43,1),(69,1)}
        57:{4,7}:{(43,1),(44,1)}
        58:{3,6,7}:{(44,1),(45,1),(73,1),(105,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(65,1),(74,1),(75,1),(100,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(69,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,3,6}:{(51,1),(52,1),(59,1),(81,1),(82,1),(83,1)}
        66:{1,2,7}:{(51,1),(53,1),(83,1),(126,1)}
        67:{2,4,6}:{(52,1),(54,1),(60,1),(82,1),(84,1),(85,1),(120,1)}
        68:{2,3,7}:{(52,1),(53,1),(55,1),(83,1),(85,1)}
        69:{3,5}:{(54,1),(56,1),(84,1)}
        70:{3,4,7}:{(54,1),(55,1),(57,1),(85,1),(87,1)}
        71:{4,5,6}:{(56,1),(86,1),(88,1),(89,1)}
        72:{4,5,7}:{(56,1),(57,1),(87,1),(89,1),(90,1)}
        73:{4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(115,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(84,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(86,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(65,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,4,6}:{(65,1),(67,1),(75,1),(98,1),(100,1),(101,1),(132,1)}
        83:{1,3,7}:{(65,1),(66,1),(68,1),(99,1),(101,1)}
        84:{2,5}:{(67,1),(69,1),(100,1)}
        85:{2,4,7}:{(67,1),(68,1),(70,1),(101,1),(103,1)}
        86:{3,5,6}:{(69,1),(71,1),(77,1),(102,1),(104,1),(105,1)}
        87:{3,5,7}:{(69,1),(70,1),(72,1),(103,1),(105,1)}
        88:{4,5,7}:{(71,1),(104,1),(106,1)}
        89:{4,6}:{(72,1),(105,1),(107,1)}
        90:{5,7}:{(73,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(100,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(102,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(104,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,4,6}:{(81,1),(82,1),(91,1),(114,1),(115,1),(116,1),(140,1)}
        99:{2,3,7}:{(81,1),(83,1),(116,1),(126,1),(142,1)}
       100:{1,5}:{(82,1),(84,1),(115,1)}
       101:{1,4,7}:{(82,1),(83,1),(85,1),(116,1),(118,1)}
       102:{2,5,6}:{(84,1),(86,1),(93,1),(117,1),(119,1),(120,1)}
       103:{2,5,7}:{(84,1),(85,1),(87,1),(118,1),(120,1)}
       104:{3,5,7}:{(86,1),(88,1),(94,1),(119,1),(121,1)}
       105:{3,6}:{(87,1),(89,1),(120,1)}
       106:{4,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       107:{5,6}:{(89,1),(90,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(115,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(117,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(119,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(98,1),(108,1),(127,1),(128,1),(134,1),(143,1),(146,1)}
       115:{2,5}:{(98,1),(100,1),(127,1)}
       116:{2,4,7}:{(98,1),(99,1),(101,1),(128,1),(130,1)}
       117:{1,5,6}:{(100,1),(102,1),(110,1),(129,1),(131,1),(132,1)}
       118:{1,5,7}:{(100,1),(101,1),(103,1),(130,1),(132,1)}
       119:{2,5,7}:{(102,1),(104,1),(111,1),(131,1),(133,1)}
       120:{2,6}:{(103,1),(105,1),(132,1)}
       121:{3,6,7}:{(104,1),(105,1),(106,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(129,1),(134,1),(135,1),(143,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(131,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,5}:{(114,1),(115,1),(136,1)}
       128:{3,4,7}:{(114,1),(116,1),(138,1),(142,1),(148,1)}
       129:{2,5,6}:{(115,1),(117,1),(124,1),(137,1),(139,1),(140,1)}
       130:{2,5,7}:{(115,1),(116,1),(118,1),(138,1),(140,1)}
       131:{1,5,7}:{(117,1),(119,1),(125,1),(139,1),(141,1)}
       132:{1,6}:{(118,1),(120,1),(140,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(139,1),(142,1),(148,1)}
       136:{4,5}:{(127,1),(143,1)}
       137:{3,5,6}:{(127,1),(129,1),(134,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       139:{2,5,7}:{(129,1),(131,1),(135,1),(145,1),(147,1)}
       140:{2,6}:{(130,1),(132,1),(146,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 779 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 780 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 781 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 782 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(36,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(55,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(56,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(36,1),(46,1),(69,1),(83,1),(103,1),(104,1),(126,1),(137,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(75,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(69,1),(113,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(29,1),(49,1),(55,1),(64,1),(87,1),(88,1),(99,1),(115,1),(119,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(116,1),(117,1),(132,1)}
        12:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(56,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(21,1),(25,1),(27,1),(28,1),(51,1),(59,1),(87,1),(88,1),(116,1),(117,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,6,7}:{(12,1),(31,1),(32,1),(33,1),(67,1),(69,1),(103,1)}
        20:{2,4,5,7}:{(10,1),(13,1),(34,1),(35,1),(36,1),(42,1),(66,1),(70,1),(81,1),(83,1),(101,1),(103,1),(106,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(15,1),(34,1),(36,1),(37,1),(45,1),(114,1),(124,1)}
        22:{1,4,6}:{(10,1),(12,1),(35,1),(37,1),(38,1),(75,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(33,1),(38,1),(39,1),(126,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(36,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(37,1),(41,1),(44,1),(45,1),(71,1),(77,1),(79,1),(81,1),(105,1),(110,1),(112,1),(113,1),(125,1),(128,1),(137,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{1,4,6,7}:{(19,1),(22,1),(47,1),(48,1),(49,1),(85,1),(87,1),(115,1)}
        32:{3,6,7}:{(19,1),(23,1),(50,1),(116,1)}
        33:{2,5,7}:{(19,1),(24,1),(49,1),(50,1)}
        34:{3,5,7}:{(20,1),(25,1),(51,1),(53,1),(61,1),(90,1),(100,1),(116,1)}
        35:{2,4,6}:{(20,1),(22,1),(53,1),(54,1),(56,1),(93,1)}
        36:{2,5,7}:{(21,1),(27,1),(55,1),(56,1),(63,1),(123,1),(131,1)}
        37:{1,3,6}:{(21,1),(22,1),(23,1),(53,1),(56,1)}
        38:{1,5,6}:{(22,1),(24,1),(29,1),(49,1),(54,1),(119,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(50,1),(58,1),(132,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(116,1),(117,1),(131,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(55,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(90,1),(100,1),(119,1),(132,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{2,4,6,7}:{(31,1),(35,1),(65,1),(66,1),(67,1),(101,1),(103,1)}
        48:{1,3,6,7}:{(31,1),(32,1),(37,1),(65,1),(67,1),(68,1),(124,1)}
        49:{1,5,7}:{(31,1),(33,1),(38,1),(66,1)}
        50:{3,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{3,4,7}:{(34,1),(70,1),(71,1),(81,1),(101,1),(113,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(40,1),(70,1),(72,1),(73,1),(80,1),(106,1)}
        53:{3,6}:{(34,1),(35,1)}
        54:{2,5,6}:{(35,1),(38,1),(42,1),(66,1),(74,1),(106,1)}
        55:{1,5,7}:{(36,1),(43,1),(75,1),(82,1),(130,1),(136,1)}
        56:{2,6}:{(36,1),(37,1),(75,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(39,1),(45,1),(68,1),(74,1),(76,1),(77,1),(110,1)}
        58:{4,6}:{(39,1),(46,1),(69,1),(137,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(136,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(125,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(75,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(77,1),(81,1),(83,1),(107,1),(112,1),(130,1),(137,1)}
        65:{3,6,7}:{(47,1),(53,1),(84,1),(116,1)}
        66:{2,5,7}:{(47,1),(49,1),(54,1),(84,1)}
        67:{2,6,7}:{(48,1),(56,1),(85,1),(86,1),(131,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(50,1),(57,1),(84,1),(86,1),(87,1),(116,1)}
        69:{4,7}:{(50,1),(58,1)}
        70:{2,4,7}:{(51,1),(52,1),(88,1),(89,1),(98,1)}
        71:{3,4,6}:{(51,1),(53,1),(89,1),(90,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(55,1),(59,1),(88,1),(91,1),(92,1),(97,1),(117,1),(119,1),(132,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(89,1),(92,1)}
        74:{3,5,6}:{(53,1),(54,1),(61,1),(84,1),(90,1),(93,1)}
        75:{1,6}:{(55,1),(56,1)}
        76:{2,5,6}:{(56,1),(57,1),(63,1),(86,1),(94,1),(95,1)}
        77:{1,4,6}:{(57,1),(58,1),(64,1),(87,1),(93,1),(95,1),(133,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(132,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{3,5,7}:{(65,1),(66,1),(74,1),(101,1)}
        85:{1,6,7}:{(67,1),(75,1),(102,1),(136,1)}
        86:{2,5,7}:{(67,1),(68,1),(76,1),(102,1),(103,1)}
        87:{1,4,7}:{(68,1),(69,1),(77,1),(101,1),(103,1),(136,1)}
        88:{1,4,7}:{(70,1),(72,1),(104,1),(105,1),(112,1),(137,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(105,1),(106,1)}
        90:{3,5}:{(71,1),(106,1),(107,1)}
        91:{2,5,7}:{(72,1),(78,1),(104,1),(108,1),(111,1),(126,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(108,1),(125,1)}
        93:{4,6}:{(74,1),(81,1),(101,1),(107,1)}
        94:{1,5,6}:{(75,1),(76,1),(82,1),(102,1),(109,1)}
        95:{2,4,6}:{(76,1),(77,1),(83,1),(103,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(137,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{4,7}:{(84,1),(93,1)}
       102:{1,5,7}:{(85,1),(86,1),(94,1),(115,1)}
       103:{2,4,7}:{(86,1),(87,1),(95,1),(115,1),(116,1),(131,1)}
       104:{2,4,7}:{(88,1),(91,1),(117,1),(118,1),(121,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(118,1),(119,1)}
       106:{2,5}:{(89,1),(90,1),(119,1)}
       107:{4,5}:{(90,1),(93,1)}
       108:{2,6}:{(91,1),(92,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(115,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(116,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{1,4,7}:{(102,1),(103,1),(109,1),(124,1)}
       116:{3,7}:{(103,1),(110,1)}
       117:{3,7}:{(104,1),(125,1),(128,1)}
       118:{2,4,6}:{(104,1),(105,1),(108,1),(125,1),(126,1),(137,1)}
       119:{1,5}:{(105,1),(106,1),(126,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(124,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{1,3,7}:{(115,1),(116,1),(120,1),(131,1)}
       125:{3,6}:{(117,1),(118,1),(132,1)}
       126:{2,5}:{(118,1),(119,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(131,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{2,7}:{(124,1),(127,1),(136,1)}
       132:{3,5}:{(125,1),(126,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(136,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{1,7}:{(131,1),(133,1)}
       137:{4}:{(132,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 783 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 784 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(66,1),(74,1),(145,1),(151,1),(153,1),(161,1),(223,1),(247,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(25,1),(28,1),(66,1),(84,1),(85,1),(153,1),(223,1),(231,1),(304,1),(317,1),(373,1),(374,1)}
         2:{1,3,5,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(11,1),(38,1),(45,1),(104,1),(106,1),(107,1),(198,1),(200,1),(291,1),(358,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(40,1),(191,1),(204,1),(264,1),(280,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(105,1),(113,1),(194,1),(209,1),(269,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(16,1),(277,1),(393,1)}
         6:{2,3,5,7}:{(1,1),(9,1),(16,1),(17,1),(46,1),(51,1),(56,1),(105,1),(269,1),(339,1),(389,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(25,1),(58,1),(66,1),(138,1),(139,1),(153,1),(161,1),(169,1),(250,1),(263,1),(336,1),(337,1)}
         8:{1,4,6}:{(2,1),(5,1),(18,1),(20,1),(22,1),(245,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(6,1),(19,1),(22,1),(23,1),(26,1),(71,1),(75,1),(152,1)}
        10:{1,2,4,5}:{(3,1),(20,1),(24,1),(66,1),(72,1),(150,1),(151,1),(165,1),(227,1),(243,1),(245,1),(248,1)}
        11:{1,3,6}:{(3,1),(24,1),(25,1),(26,1),(250,1),(304,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(22,1),(26,1),(70,1),(239,1),(251,1),(305,1),(320,1)}
        13:{1,2,6,7}:{(4,1),(23,1),(153,1),(242,1),(247,1),(257,1),(311,1)}
        14:{2,4,5}:{(5,1),(20,1),(28,1),(66,1),(374,1),(405,1)}
        15:{3,4,6}:{(5,1),(28,1),(31,1),(84,1),(304,1),(312,1)}
        16:{2,4,7}:{(5,1),(6,1),(22,1),(31,1),(403,1)}
        17:{2,3,6,7}:{(6,1),(23,1),(32,1),(84,1),(153,1),(311,1),(317,1),(368,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(35,1),(217,1),(365,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(35,1),(36,1),(46,1),(93,1),(98,1),(105,1),(209,1),(294,1),(361,1)}
        20:{1,4,5}:{(8,1),(14,1),(33,1),(38,1),(104,1),(358,1)}
        21:{1,3,4,6}:{(8,1),(11,1),(15,1),(34,1),(38,1),(40,1),(41,1),(43,1),(106,1)}
        22:{1,4,7}:{(8,1),(9,1),(16,1),(35,1)}
        23:{1,3,6,7}:{(9,1),(13,1),(17,1),(36,1),(42,1),(106,1),(200,1),(291,1)}
        24:{1,3,5}:{(10,1),(11,1),(43,1),(44,1),(212,1),(272,1),(292,1)}
        25:{2,3,6}:{(11,1),(40,1),(44,1),(45,1),(46,1),(280,1)}
        26:{1,3,7}:{(11,1),(12,1),(46,1),(294,1),(339,1)}
        27:{2,4,5,6}:{(14,1),(37,1),(47,1),(48,1),(52,1),(100,1),(114,1),(215,1),(216,1),(264,1),(342,1),(347,1),(390,1),(393,1)}
        28:{3,5}:{(14,1),(15,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(39,1),(51,1),(52,1),(56,1),(105,1),(129,1)}
        30:{2,3,4,6}:{(15,1),(40,1),(50,1),(53,1),(54,1),(110,1),(114,1),(125,1),(187,1),(190,1),(277,1),(338,1),(348,1),(351,1)}
        31:{3,4,7}:{(15,1),(16,1),(51,1),(339,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(42,1),(52,1),(55,1),(56,1),(348,1)}
        33:{2,4,5}:{(18,1),(20,1),(58,1),(66,1),(337,1),(386,1)}
        34:{3,4,6}:{(18,1),(58,1),(61,1),(138,1),(250,1),(258,1)}
        35:{2,4,7}:{(18,1),(19,1),(22,1),(61,1),(384,1)}
        36:{2,3,6,7}:{(19,1),(23,1),(62,1),(138,1),(153,1),(257,1),(263,1),(331,1)}
        37:{1,4,5,6}:{(20,1),(27,1),(57,1),(63,1),(64,1),(68,1),(145,1),(158,1),(220,1),(261,1),(315,1),(323,1),(380,1)}
        38:{1,3,5}:{(20,1),(21,1),(28,1),(58,1),(66,1)}
        39:{1,4,5,7}:{(20,1),(22,1),(29,1),(59,1),(67,1),(68,1),(71,1),(152,1)}
        40:{2,4,6}:{(21,1),(25,1),(66,1),(69,1),(70,1),(72,1),(153,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(26,1),(31,1),(61,1),(67,1),(70,1)}
        42:{1,4,6,7}:{(22,1),(23,1),(32,1),(62,1),(68,1),(71,1),(328,1)}
        43:{1,3,4}:{(24,1),(72,1),(245,1),(258,1),(312,1)}
        44:{2,3,5}:{(24,1),(25,1),(66,1),(72,1),(73,1),(243,1),(249,1)}
        45:{1,3,6}:{(25,1),(69,1),(73,1),(74,1),(75,1)}
        46:{2,3,7}:{(25,1),(26,1),(70,1),(75,1),(320,1)}
        47:{3,5,6}:{(27,1),(28,1),(76,1),(78,1),(84,1),(304,1),(366,1),(401,1)}
        48:{2,4,5,7}:{(27,1),(64,1),(78,1),(79,1),(146,1),(159,1),(253,1),(254,1),(305,1),(369,1),(403,1)}
        49:{3,4,5}:{(28,1),(76,1),(80,1),(312,1),(366,1),(405,1)}
        50:{2,3,5}:{(28,1),(30,1),(66,1),(80,1),(82,1),(366,1),(374,1),(377,1)}
        51:{3,5,7}:{(28,1),(29,1),(31,1),(84,1)}
        52:{2,4,6}:{(29,1),(68,1),(84,1),(85,1),(153,1),(172,1)}
        53:{1,3,4,6}:{(30,1),(69,1),(82,1),(86,1),(87,1),(154,1),(156,1),(158,1),(171,1),(236,1),(245,1),(250,1),(258,1),(328,1),(335,1),(375,1)}
        54:{2,3,4,7}:{(30,1),(31,1),(70,1),(83,1),(87,1),(159,1),(235,1),(237,1),(316,1),(367,1),(378,1)}
        55:{3,4,6,7}:{(31,1),(32,1),(84,1),(88,1),(172,1),(368,1),(372,1),(403,1)}
        56:{2,5,7}:{(32,1),(71,1),(85,1),(88,1),(374,1)}
        57:{2,4,5,6}:{(33,1),(37,1),(89,1),(90,1),(94,1),(100,1),(174,1),(204,1),(275,1),(276,1),(297,1),(302,1),(362,1),(365,1)}
        58:{3,5}:{(33,1),(34,1)}
        59:{2,4,5,7}:{(33,1),(35,1),(39,1),(93,1),(94,1),(98,1),(105,1),(189,1)}
        60:{2,3,4,6}:{(34,1),(40,1),(92,1),(95,1),(96,1),(110,1),(127,1),(174,1),(185,1),(190,1),(217,1),(293,1),(303,1),(351,1)}
        61:{3,4,7}:{(34,1),(35,1),(93,1),(294,1)}
        62:{2,4,6,7}:{(35,1),(36,1),(42,1),(94,1),(97,1),(98,1),(303,1)}
        63:{1,3,5,6}:{(37,1),(38,1),(47,1),(89,1),(99,1),(100,1),(101,1),(106,1),(353,1),(397,1)}
        64:{1,4,5,7}:{(37,1),(48,1),(90,1),(101,1),(102,1),(194,1),(205,1),(265,1),(296,1),(341,1)}
        65:{1,3,4,5}:{(38,1),(43,1),(49,1),(91,1),(99,1),(103,1),(120,1),(180,1),(196,1),(212,1),(272,1),(289,1),(353,1)}
        66:{2,5}:{(38,1),(40,1),(104,1)}
        67:{1,3,5,7}:{(38,1),(39,1),(41,1),(51,1),(93,1),(105,1),(106,1)}
        68:{1,4,6}:{(39,1),(52,1),(94,1),(106,1),(107,1),(200,1)}
        69:{1,4,6}:{(40,1),(45,1),(104,1),(109,1),(111,1),(200,1)}
        70:{2,4,7}:{(40,1),(41,1),(46,1),(105,1),(109,1)}
        71:{1,5,7}:{(42,1),(56,1),(98,1),(107,1),(358,1)}
        72:{2,4}:{(43,1),(44,1),(111,1)}
        73:{1,3,5}:{(44,1),(45,1),(104,1),(111,1),(112,1),(203,1)}
        74:{1,2,6}:{(45,1),(112,1),(113,1),(280,1)}
        75:{1,3,7}:{(45,1),(46,1),(109,1),(113,1)}
        76:{3,4,6}:{(47,1),(49,1),(114,1),(115,1),(393,1)}
        77:{2,3,5,6}:{(47,1),(50,1),(100,1),(114,1),(116,1),(117,1),(125,1),(190,1),(215,1)}
        78:{3,5,7}:{(47,1),(48,1),(115,1),(118,1),(339,1)}
        79:{2,4,6,7}:{(48,1),(52,1),(102,1),(118,1),(119,1),(195,1),(211,1),(390,1)}
        80:{2,4,5}:{(49,1),(50,1),(114,1),(120,1),(277,1)}
        81:{3,4,5,7}:{(49,1),(51,1),(115,1),(121,1),(122,1),(129,1),(207,1),(345,1),(387,1),(392,1),(410,1)}
        82:{1,3,5}:{(50,1),(53,1),(104,1),(120,1),(123,1),(212,1),(358,1),(364,1),(394,1)}
        83:{2,3,5,7}:{(50,1),(51,1),(54,1),(105,1),(121,1),(124,1),(125,1),(387,1),(396,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,5,6}:{(52,1),(56,1),(107,1),(126,1)}
        86:{2,4,6}:{(53,1),(123,1),(127,1),(128,1),(202,1),(217,1),(219,1),(280,1)}
        87:{1,3,4,7}:{(53,1),(54,1),(109,1),(124,1),(128,1),(201,1),(205,1),(281,1),(290,1),(294,1),(300,1),(395,1)}
        88:{3,5,7}:{(55,1),(56,1),(126,1),(129,1),(392,1)}
        89:{3,5,6}:{(57,1),(58,1),(130,1),(132,1),(138,1),(250,1),(329,1),(382,1)}
        90:{2,4,5,7}:{(57,1),(64,1),(132,1),(133,1),(146,1),(221,1),(251,1),(307,1),(308,1),(332,1),(384,1)}
        91:{3,4,5}:{(58,1),(130,1),(134,1),(258,1),(329,1),(386,1)}
        92:{2,3,5}:{(58,1),(60,1),(66,1),(134,1),(136,1),(329,1),(337,1),(377,1)}
        93:{3,5,7}:{(58,1),(59,1),(61,1),(138,1)}
        94:{2,4,6}:{(59,1),(68,1),(138,1),(139,1),(153,1),(234,1)}
        95:{1,3,4,6}:{(60,1),(69,1),(136,1),(140,1),(141,1),(154,1),(156,1),(220,1),(233,1),(236,1),(245,1),(304,1),(312,1),(328,1),(372,1),(375,1)}
        96:{2,3,4,7}:{(60,1),(61,1),(70,1),(137,1),(141,1),(173,1),(221,1),(237,1),(262,1),(330,1),(378,1)}
        97:{3,4,6,7}:{(61,1),(62,1),(138,1),(142,1),(234,1),(331,1),(335,1),(384,1)}
        98:{2,5,7}:{(62,1),(71,1),(139,1),(142,1),(337,1)}
        99:{1,3,4,6}:{(63,1),(65,1),(76,1),(130,1),(143,1),(144,1),(158,1),(220,1),(236,1),(250,1),(304,1)}
       100:{2,5,6}:{(63,1),(66,1),(143,1),(145,1),(146,1),(153,1),(377,1),(407,1)}
       101:{1,3,5,7}:{(63,1),(64,1),(78,1),(132,1),(144,1),(146,1),(147,1)}
       102:{1,4,6,7}:{(64,1),(68,1),(79,1),(133,1),(147,1),(148,1),(242,1),(380,1)}
       103:{2,4,5}:{(65,1),(66,1),(72,1),(143,1),(149,1),(150,1),(243,1),(327,1),(377,1)}
       104:{1,5}:{(66,1),(69,1)}
       105:{2,5,7}:{(66,1),(67,1),(70,1),(152,1),(153,1)}
       106:{1,3,6}:{(67,1),(68,1),(84,1),(138,1),(153,1)}
       107:{1,5,6}:{(68,1),(71,1),(85,1),(139,1)}
       108:{1,2,4,6}:{(69,1),(74,1),(86,1),(140,1),(151,1),(154,1),(155,1),(157,1),(245,1),(247,1),(248,1),(318,1),(328,1),(375,1)}
       109:{1,4,7}:{(69,1),(70,1),(75,1),(152,1)}
       110:{2,3,4}:{(72,1),(149,1),(156,1),(249,1),(258,1),(312,1),(327,1)}
       111:{1,4}:{(72,1),(73,1)}
       112:{1,2,5}:{(73,1),(74,1),(157,1),(243,1)}
       113:{1,2,7}:{(74,1),(75,1),(320,1)}
       114:{2,4,6}:{(76,1),(77,1),(80,1),(158,1),(159,1)}
       115:{3,4,7}:{(76,1),(78,1),(159,1),(403,1)}
       116:{1,3,5,6}:{(77,1),(82,1),(145,1),(158,1),(161,1),(162,1),(171,1),(236,1),(250,1),(261,1),(336,1)}
       117:{2,3,5,7}:{(77,1),(78,1),(146,1),(159,1),(162,1),(163,1),(237,1),(253,1)}
       118:{3,6,7}:{(78,1),(79,1),(84,1),(401,1)}
       119:{2,5,6,7}:{(79,1),(85,1),(148,1),(164,1),(253,1),(369,1),(404,1)}
       120:{1,4,5}:{(80,1),(82,1),(158,1),(165,1),(245,1),(386,1)}
       121:{2,4,5,7}:{(80,1),(81,1),(83,1),(159,1),(166,1),(167,1),(253,1),(316,1),(374,1)}
       122:{3,4,6}:{(81,1),(84,1),(167,1),(168,1),(172,1),(401,1),(412,1)}
       123:{2,5}:{(82,1),(86,1)}
       124:{1,3,5,7}:{(82,1),(83,1),(87,1),(152,1),(166,1),(170,1),(171,1),(259,1),(406,1)}
       125:{2,3,6}:{(83,1),(84,1),(153,1),(167,1),(171,1),(401,1),(407,1)}
       126:{3,5,6}:{(84,1),(85,1),(88,1),(172,1)}
       127:{2,3,6}:{(86,1),(154,1),(169,1),(173,1),(249,1),(250,1)}
       128:{2,4,7}:{(86,1),(87,1),(170,1),(173,1),(320,1)}
       129:{4,5,7}:{(88,1),(172,1),(403,1),(405,1)}
       130:{3,4,6}:{(89,1),(91,1),(174,1),(175,1),(365,1)}
       131:{2,3,5,6}:{(89,1),(92,1),(100,1),(174,1),(176,1),(177,1),(185,1),(190,1),(275,1)}
       132:{3,5,7}:{(89,1),(90,1),(175,1),(178,1),(294,1)}
       133:{2,4,6,7}:{(90,1),(94,1),(102,1),(178,1),(179,1),(195,1),(271,1),(362,1)}
       134:{2,4,5}:{(91,1),(92,1),(174,1),(180,1),(217,1)}
       135:{3,4,5,7}:{(91,1),(93,1),(175,1),(181,1),(182,1),(189,1),(267,1),(300,1),(359,1),(364,1),(400,1)}
       136:{1,3,5}:{(92,1),(95,1),(104,1),(180,1),(183,1),(272,1),(358,1),(392,1),(394,1)}
       137:{2,3,5,7}:{(92,1),(93,1),(96,1),(105,1),(181,1),(184,1),(185,1),(359,1),(396,1)}
       138:{3,6}:{(93,1),(94,1)}
       139:{2,5,6}:{(94,1),(98,1),(107,1),(186,1)}
       140:{2,4,6}:{(95,1),(183,1),(187,1),(188,1),(202,1),(277,1),(279,1),(280,1)}
       141:{1,3,4,7}:{(95,1),(96,1),(109,1),(184,1),(188,1),(201,1),(265,1),(281,1),(290,1),(339,1),(345,1),(395,1)}
       142:{3,5,7}:{(97,1),(98,1),(186,1),(189,1),(364,1)}
       143:{2,4,6}:{(99,1),(100,1),(103,1),(190,1),(191,1),(192,1),(280,1)}
       144:{1,3,4,7}:{(99,1),(101,1),(115,1),(175,1),(192,1),(205,1),(265,1),(281,1),(294,1),(339,1)}
       145:{1,5,6}:{(100,1),(104,1),(191,1),(194,1),(200,1),(394,1),(411,1)}
       146:{2,5,7}:{(100,1),(101,1),(192,1),(194,1),(195,1)}
       147:{1,3,6,7}:{(101,1),(102,1),(106,1),(118,1),(178,1),(195,1),(397,1)}
       148:{1,5,6,7}:{(102,1),(107,1),(119,1),(179,1),(296,1),(341,1),(398,1)}
       149:{2,3,5}:{(103,1),(110,1),(190,1),(196,1),(212,1),(272,1)}
       150:{1,4,5}:{(103,1),(104,1),(111,1),(191,1),(196,1),(357,1),(394,1)}
       151:{1,2,5}:{(104,1),(108,1),(123,1),(183,1),(198,1),(358,1),(394,1)}
       152:{1,5,7}:{(104,1),(105,1),(109,1),(200,1)}
       153:{2,6}:{(105,1),(106,1),(200,1)}
       154:{1,3,6}:{(108,1),(127,1),(187,1),(198,1),(201,1),(203,1),(292,1)}
       155:{1,2,4,7}:{(108,1),(109,1),(113,1),(128,1),(188,1),(199,1),(201,1),(290,1),(350,1),(395,1)}
       156:{1,3,4}:{(110,1),(111,1),(196,1),(202,1),(203,1),(292,1),(357,1)}
       157:{1,2,4}:{(111,1),(112,1),(202,1),(203,1)}
       158:{1,4,6}:{(114,1),(116,1),(120,1),(204,1),(205,1),(365,1)}
       159:{2,4,7}:{(114,1),(115,1),(117,1),(205,1)}
       160:{3,4,6,7}:{(115,1),(118,1),(122,1),(206,1),(207,1),(211,1)}
       161:{2,5,6}:{(116,1),(123,1),(204,1),(209,1),(219,1),(280,1)}
       162:{1,3,5,7}:{(116,1),(117,1),(194,1),(205,1),(209,1),(210,1),(281,1),(294,1),(296,1),(361,1)}
       163:{2,3,6,7}:{(117,1),(118,1),(125,1),(195,1),(206,1),(210,1)}
       164:{3,5,6,7}:{(118,1),(119,1),(126,1),(207,1),(211,1),(389,1),(409,1)}
       165:{2,4,5}:{(120,1),(123,1),(204,1),(212,1),(217,1)}
       166:{1,4,5,7}:{(120,1),(121,1),(124,1),(205,1),(213,1),(214,1),(290,1),(296,1),(358,1)}
       167:{2,4,6}:{(121,1),(122,1),(125,1),(214,1),(215,1)}
       168:{3,5,6}:{(122,1),(207,1),(215,1),(216,1),(392,1)}
       169:{2,3,5}:{(123,1),(127,1),(198,1),(212,1),(217,1)}
       170:{2,5,7}:{(123,1),(124,1),(128,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(200,1),(214,1),(219,1),(301,1),(411,1)}
       172:{4,6}:{(126,1),(129,1)}
       173:{2,3,7}:{(127,1),(128,1),(201,1),(294,1)}
       174:{2,4,6}:{(130,1),(131,1),(134,1),(220,1),(221,1)}
       175:{3,4,7}:{(130,1),(132,1),(221,1),(384,1)}
       176:{1,3,5,6}:{(131,1),(136,1),(145,1),(220,1),(223,1),(224,1),(233,1),(236,1),(304,1),(315,1),(373,1)}
       177:{2,3,5,7}:{(131,1),(132,1),(146,1),(221,1),(224,1),(225,1),(237,1),(307,1)}
       178:{3,6,7}:{(132,1),(133,1),(138,1),(382,1)}
       179:{2,5,6,7}:{(133,1),(139,1),(148,1),(226,1),(307,1),(332,1),(385,1)}
       180:{1,4,5}:{(134,1),(136,1),(220,1),(227,1),(245,1),(405,1)}
       181:{2,4,5,7}:{(134,1),(135,1),(137,1),(221,1),(228,1),(229,1),(262,1),(307,1),(337,1)}
       182:{3,4,6}:{(135,1),(138,1),(229,1),(230,1),(234,1),(382,1),(408,1)}
       183:{2,5}:{(136,1),(140,1)}
       184:{1,3,5,7}:{(136,1),(137,1),(141,1),(152,1),(228,1),(232,1),(233,1),(313,1),(406,1)}
       185:{2,3,6}:{(137,1),(138,1),(153,1),(229,1),(233,1),(382,1),(407,1)}
       186:{3,5,6}:{(138,1),(139,1),(142,1),(234,1)}
       187:{2,3,6}:{(140,1),(154,1),(231,1),(235,1),(249,1),(304,1)}
       188:{2,4,7}:{(140,1),(141,1),(232,1),(235,1),(320,1)}
       189:{4,5,7}:{(142,1),(234,1),(384,1),(386,1)}
       190:{2,3,6}:{(143,1),(149,1),(236,1),(237,1),(250,1),(304,1)}
       191:{1,4,6}:{(143,1),(145,1),(150,1),(236,1),(239,1)}
       192:{2,4,7}:{(143,1),(144,1),(146,1),(237,1),(239,1),(320,1)}
       193:{1,2,5,6}:{(145,1),(151,1),(161,1),(223,1),(238,1),(240,1),(241,1),(247,1),(318,1),(377,1),(407,1)}
       194:{1,5,7}:{(145,1),(146,1),(239,1),(242,1)}
       195:{2,6,7}:{(146,1),(147,1),(153,1),(242,1),(407,1)}
       196:{1,3,5}:{(149,1),(150,1),(156,1),(236,1),(243,1)}
       197:{1,2,4,5}:{(150,1),(151,1),(157,1),(165,1),(227,1),(238,1),(243,1),(244,1),(245,1),(323,1),(327,1),(377,1)}
       198:{1,3,5}:{(151,1),(154,1),(169,1),(231,1),(245,1)}
       199:{1,2,5,7}:{(151,1),(152,1),(155,1),(170,1),(232,1),(246,1),(247,1),(406,1)}
       200:{1,6}:{(152,1),(153,1)}
       201:{1,3,7}:{(154,1),(155,1),(173,1),(235,1)}
       202:{2,4}:{(156,1),(243,1),(249,1)}
       203:{1,3}:{(157,1),(249,1)}
       204:{2,4,6}:{(158,1),(161,1),(165,1),(250,1),(251,1)}
       205:{1,4,7}:{(158,1),(159,1),(162,1),(251,1),(384,1)}
       206:{2,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(252,1),(253,1)}
       207:{3,5,7}:{(160,1),(168,1),(253,1),(254,1)}
       208:{2,3,5,6}:{(161,1),(169,1),(240,1),(250,1),(255,1),(256,1),(263,1),(319,1),(329,1),(336,1),(337,1),(377,1),(382,1),(385,1),(407,1)}
       209:{2,5,7}:{(161,1),(162,1),(251,1),(257,1),(320,1)}
       210:{1,3,6,7}:{(162,1),(163,1),(171,1),(242,1),(252,1),(257,1),(331,1)}
       211:{4,6,7}:{(164,1),(172,1),(254,1),(403,1),(412,1)}
       212:{3,5}:{(165,1),(250,1),(258,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(170,1),(251,1),(259,1),(260,1),(262,1),(332,1),(337,1),(384,1),(386,1)}
       214:{1,4,6}:{(166,1),(167,1),(171,1),(260,1),(261,1)}
       215:{2,5,6}:{(167,1),(168,1),(253,1),(261,1),(374,1)}
       216:{4,5,6}:{(168,1),(172,1),(254,1),(405,1),(412,1)}
       217:{2,4}:{(169,1),(245,1),(258,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(173,1),(246,1),(259,1),(262,1),(263,1),(337,1)}
       219:{2,6}:{(170,1),(171,1)}
       220:{1,4,6}:{(174,1),(176,1),(180,1),(264,1),(265,1),(393,1)}
       221:{2,4,7}:{(174,1),(175,1),(177,1),(265,1)}
       222:{3,4,6,7}:{(175,1),(178,1),(182,1),(266,1),(267,1),(271,1)}
       223:{2,5,6}:{(176,1),(183,1),(264,1),(269,1),(279,1),(280,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(194,1),(265,1),(269,1),(270,1),(281,1),(339,1),(341,1),(389,1)}
       225:{2,3,6,7}:{(177,1),(178,1),(185,1),(195,1),(266,1),(270,1)}
       226:{3,5,6,7}:{(178,1),(179,1),(186,1),(267,1),(271,1),(361,1),(399,1)}
       227:{2,4,5}:{(180,1),(183,1),(264,1),(272,1),(277,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(184,1),(265,1),(273,1),(274,1),(290,1),(341,1),(358,1)}
       229:{2,4,6}:{(181,1),(182,1),(185,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(267,1),(275,1),(276,1),(364,1)}
       231:{2,3,5}:{(183,1),(187,1),(198,1),(272,1),(277,1)}
       232:{2,5,7}:{(183,1),(184,1),(188,1),(279,1)}
       233:{1,3,6}:{(184,1),(185,1),(200,1),(274,1),(279,1),(346,1),(411,1)}
       234:{4,6}:{(186,1),(189,1)}
       235:{2,3,7}:{(187,1),(188,1),(201,1),(339,1)}
       236:{1,3,6}:{(190,1),(191,1),(196,1),(280,1),(281,1)}
       237:{2,3,7}:{(190,1),(192,1),(281,1),(294,1),(339,1)}
       238:{1,2,4,6}:{(191,1),(193,1),(197,1),(204,1),(264,1),(280,1),(282,1),(283,1),(284,1),(351,1)}
       239:{1,4,7}:{(191,1),(192,1),(194,1),(281,1)}
       240:{1,3,5,6}:{(193,1),(198,1),(208,1),(268,1),(282,1),(284,1),(285,1),(291,1),(349,1),(353,1),(358,1),(394,1),(397,1),(398,1),(411,1)}
       241:{1,2,5,7}:{(193,1),(194,1),(209,1),(269,1),(283,1),(285,1),(286,1),(350,1),(396,1)}
       242:{1,6,7}:{(194,1),(195,1),(200,1),(411,1)}
       243:{2,5}:{(196,1),(202,1),(280,1)}
       244:{1,3,5}:{(197,1),(203,1),(212,1),(272,1),(282,1),(288,1),(289,1)}
       245:{1,4}:{(198,1),(217,1),(277,1)}
       246:{1,3,5,7}:{(198,1),(199,1),(201,1),(218,1),(278,1),(290,1),(291,1),(358,1)}
       247:{1,2,6}:{(199,1),(200,1),(219,1),(279,1),(291,1),(411,1)}
       248:{1,2,4}:{(202,1),(287,1),(292,1),(357,1)}
       249:{2,3}:{(202,1),(203,1),(292,1)}
       250:{3,6}:{(204,1),(212,1),(294,1)}
       251:{2,4,7}:{(204,1),(205,1),(209,1),(294,1)}
       252:{1,4,6,7}:{(205,1),(206,1),(210,1),(214,1),(295,1),(296,1)}
       253:{2,5,7}:{(206,1),(207,1),(215,1),(296,1)}
       254:{4,5,7}:{(207,1),(211,1),(216,1)}
       255:{2,4,6}:{(208,1),(217,1),(284,1),(293,1),(297,1),(298,1),(365,1)}
       256:{2,3,5,7}:{(208,1),(209,1),(285,1),(294,1),(298,1),(299,1),(352,1),(359,1),(361,1),(363,1),(396,1)}
       257:{2,6,7}:{(209,1),(210,1),(219,1)}
       258:{3,4}:{(212,1),(217,1)}
       259:{3,5,7}:{(212,1),(213,1),(294,1),(300,1),(301,1),(364,1)}
       260:{2,4,6}:{(213,1),(214,1),(219,1),(301,1),(302,1),(365,1)}
       261:{1,5,6}:{(214,1),(215,1),(296,1),(302,1),(358,1)}
       262:{2,4,7}:{(217,1),(218,1),(290,1),(300,1),(303,1)}
       263:{2,3,6}:{(218,1),(219,1),(291,1),(301,1),(303,1)}
       264:{2,4,6}:{(220,1),(223,1),(227,1),(304,1),(305,1)}
       265:{1,4,7}:{(220,1),(221,1),(224,1),(305,1),(403,1)}
       266:{2,4,6,7}:{(221,1),(222,1),(225,1),(229,1),(306,1),(307,1)}
       267:{3,5,7}:{(222,1),(230,1),(307,1),(308,1)}
       268:{2,3,5,6}:{(223,1),(231,1),(240,1),(304,1),(309,1),(310,1),(317,1),(319,1),(366,1),(373,1),(374,1),(377,1),(401,1),(404,1),(407,1)}
       269:{2,5,7}:{(223,1),(224,1),(305,1),(311,1),(320,1)}
       270:{1,3,6,7}:{(224,1),(225,1),(233,1),(242,1),(306,1),(311,1),(368,1)}
       271:{4,6,7}:{(226,1),(234,1),(308,1),(384,1),(408,1)}
       272:{3,5}:{(227,1),(304,1),(312,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(232,1),(305,1),(313,1),(314,1),(316,1),(369,1),(374,1),(403,1),(405,1)}
       274:{1,4,6}:{(228,1),(229,1),(233,1),(314,1),(315,1)}
       275:{2,5,6}:{(229,1),(230,1),(307,1),(315,1),(337,1)}
       276:{4,5,6}:{(230,1),(234,1),(308,1),(386,1),(408,1)}
       277:{2,4}:{(231,1),(245,1),(312,1)}
       278:{2,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(313,1),(316,1),(317,1),(374,1)}
       279:{2,6}:{(232,1),(233,1)}
       280:{2,6}:{(236,1),(243,1),(320,1)}
       281:{1,3,7}:{(236,1),(237,1),(239,1),(320,1)}
       282:{1,3,6}:{(238,1),(244,1),(250,1),(304,1),(319,1),(322,1)}
       283:{1,2,4,7}:{(238,1),(239,1),(241,1),(251,1),(305,1),(320,1),(322,1),(324,1),(378,1)}
       284:{1,4,6}:{(240,1),(245,1),(255,1),(309,1),(323,1),(324,1)}
       285:{1,3,5,7}:{(240,1),(241,1),(256,1),(310,1),(322,1),(324,1),(325,1),(376,1),(381,1),(406,1)}
       286:{1,2,6,7}:{(241,1),(242,1),(247,1),(257,1),(311,1),(325,1),(407,1)}
       287:{1,2,5}:{(243,1),(248,1),(318,1),(326,1)}
       288:{2,3,5}:{(243,1),(244,1),(249,1),(319,1),(326,1),(327,1),(377,1)}
       289:{1,3,4}:{(244,1),(245,1),(258,1),(312,1),(327,1)}
       290:{1,4,7}:{(245,1),(246,1),(262,1),(316,1),(328,1)}
       291:{1,3,6}:{(246,1),(247,1),(263,1),(317,1),(328,1)}
       292:{1,3}:{(248,1),(249,1)}
       293:{3,4,6}:{(250,1),(255,1),(258,1),(329,1),(330,1),(382,1)}
       294:{3,7}:{(250,1),(251,1)}
       295:{2,4,6,7}:{(251,1),(252,1),(257,1),(260,1),(331,1),(332,1),(384,1)}
       296:{1,5,7}:{(252,1),(253,1),(261,1),(332,1)}
       297:{2,4,5}:{(255,1),(323,1),(329,1),(337,1),(377,1),(386,1)}
       298:{2,4,7}:{(255,1),(256,1),(324,1),(330,1),(384,1)}
       299:{2,3,6,7}:{(256,1),(257,1),(263,1),(325,1),(331,1),(334,1),(382,1),(407,1)}
       300:{3,4,7}:{(258,1),(259,1),(262,1),(335,1),(384,1)}
       301:{3,6}:{(259,1),(260,1)}
       302:{2,5,6}:{(260,1),(261,1),(332,1),(336,1),(337,1)}
       303:{2,4,6}:{(262,1),(263,1),(328,1),(335,1),(337,1)}
       304:{3,6}:{(264,1),(272,1),(339,1)}
       305:{2,4,7}:{(264,1),(265,1),(269,1),(339,1)}
       306:{1,4,6,7}:{(265,1),(266,1),(270,1),(274,1),(340,1),(341,1)}
       307:{2,5,7}:{(266,1),(267,1),(275,1),(341,1)}
       308:{4,5,7}:{(267,1),(271,1),(276,1)}
       309:{2,4,6}:{(268,1),(277,1),(284,1),(338,1),(342,1),(343,1),(393,1)}
       310:{2,3,5,7}:{(268,1),(269,1),(285,1),(339,1),(343,1),(344,1),(352,1),(387,1),(389,1),(391,1),(396,1)}
       311:{2,6,7}:{(269,1),(270,1),(279,1)}
       312:{3,4}:{(272,1),(277,1)}
       313:{3,5,7}:{(272,1),(273,1),(339,1),(345,1),(346,1),(392,1)}
       314:{2,4,6}:{(273,1),(274,1),(279,1),(346,1),(347,1),(393,1)}
       315:{1,5,6}:{(274,1),(275,1),(341,1),(347,1),(358,1)}
       316:{2,4,7}:{(277,1),(278,1),(290,1),(345,1),(348,1)}
       317:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       318:{1,2,6}:{(280,1),(287,1),(349,1),(350,1)}
       319:{2,3,6}:{(280,1),(282,1),(288,1),(349,1),(351,1),(352,1)}
       320:{2,7}:{(280,1),(281,1)}
       321:{1,3,4,6}:{(282,1),(284,1),(289,1),(293,1),(338,1),(351,1),(353,1),(354,1),(397,1)}
       322:{1,3,7}:{(282,1),(283,1),(294,1),(339,1),(352,1)}
       323:{1,4,5}:{(284,1),(297,1),(342,1),(353,1),(358,1),(394,1)}
       324:{1,4,7}:{(284,1),(285,1),(298,1),(343,1)}
       325:{1,3,6,7}:{(285,1),(286,1),(291,1),(299,1),(344,1),(356,1),(397,1),(411,1)}
       326:{1,3,5}:{(287,1),(288,1),(292,1),(349,1),(357,1),(394,1)}
       327:{2,4}:{(288,1),(289,1),(357,1)}
       328:{1,4,6}:{(290,1),(291,1),(303,1),(348,1),(358,1)}
       329:{3,5}:{(293,1),(297,1)}
       330:{3,4,7}:{(293,1),(294,1),(298,1),(359,1)}
       331:{3,6,7}:{(294,1),(295,1),(301,1),(361,1)}
       332:{2,5,7}:{(295,1),(296,1),(302,1),(361,1)}
       333:{2,4,5,7}:{(297,1),(298,1),(355,1),(359,1),(362,1),(363,1),(396,1),(400,1)}
       334:{2,4,6,7}:{(298,1),(299,1),(303,1),(356,1),(360,1),(362,1),(363,1)}
       335:{3,4,6}:{(300,1),(301,1),(303,1),(364,1),(365,1)}
       336:{3,5,6}:{(301,1),(302,1),(361,1),(364,1),(365,1)}
       337:{2,5}:{(303,1),(358,1),(364,1)}
       338:{3,4,6}:{(304,1),(309,1),(312,1),(366,1),(367,1),(401,1)}
       339:{3,7}:{(304,1),(305,1)}
       340:{2,4,6,7}:{(305,1),(306,1),(311,1),(314,1),(368,1),(369,1),(403,1)}
       341:{1,5,7}:{(306,1),(307,1),(315,1),(369,1)}
       342:{2,4,5}:{(309,1),(323,1),(366,1),(374,1),(377,1),(405,1)}
       343:{2,4,7}:{(309,1),(310,1),(324,1),(367,1),(403,1)}
       344:{2,3,6,7}:{(310,1),(311,1),(317,1),(325,1),(368,1),(371,1),(401,1),(407,1)}
       345:{3,4,7}:{(312,1),(313,1),(316,1),(372,1),(403,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{2,5,6}:{(314,1),(315,1),(369,1),(373,1),(374,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(372,1),(374,1)}
       349:{1,3,6}:{(318,1),(319,1),(326,1),(375,1),(376,1)}
       350:{1,2,7}:{(318,1),(320,1),(376,1)}
       351:{2,4,6}:{(319,1),(321,1),(327,1),(375,1),(377,1),(378,1),(407,1)}
       352:{2,3,7}:{(319,1),(320,1),(322,1),(376,1),(378,1)}
       353:{1,3,5}:{(321,1),(323,1),(329,1),(366,1),(377,1)}
       354:{1,3,4,7}:{(321,1),(322,1),(324,1),(330,1),(367,1),(378,1),(379,1)}
       355:{1,4,5,7}:{(323,1),(324,1),(333,1),(370,1),(379,1),(380,1),(381,1),(406,1)}
       356:{1,4,6,7}:{(324,1),(325,1),(328,1),(334,1),(371,1),(380,1),(381,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(333,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(334,1),(335,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(336,1),(384,1)}
       362:{2,4,6}:{(333,1),(380,1),(382,1),(385,1),(407,1),(408,1)}
       363:{2,5,7}:{(334,1),(337,1),(381,1),(383,1),(385,1)}
       364:{3,5}:{(335,1),(337,1),(386,1)}
       365:{4,6}:{(336,1),(384,1),(386,1)}
       366:{3,5}:{(338,1),(342,1)}
       367:{3,4,7}:{(338,1),(339,1),(343,1),(387,1)}
       368:{3,6,7}:{(339,1),(340,1),(346,1),(389,1)}
       369:{2,5,7}:{(340,1),(341,1),(347,1),(389,1)}
       370:{2,4,5,7}:{(342,1),(343,1),(355,1),(387,1),(390,1),(391,1),(396,1),(410,1)}
       371:{2,4,6,7}:{(343,1),(344,1),(348,1),(356,1),(388,1),(390,1),(391,1)}
       372:{3,4,6}:{(345,1),(346,1),(348,1),(392,1),(393,1)}
       373:{3,5,6}:{(346,1),(347,1),(389,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(392,1)}
       375:{1,4,6}:{(349,1),(351,1),(357,1),(394,1),(395,1),(411,1)}
       376:{1,3,7}:{(349,1),(350,1),(352,1),(395,1)}
       377:{2,5}:{(351,1),(353,1),(394,1)}
       378:{2,4,7}:{(351,1),(352,1),(354,1),(395,1),(396,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(355,1),(359,1),(387,1),(396,1),(397,1)}
       380:{1,4,6}:{(355,1),(362,1),(390,1),(397,1),(398,1),(411,1)}
       381:{1,5,7}:{(356,1),(358,1),(363,1),(391,1),(398,1)}
       382:{3,6}:{(359,1),(362,1)}
       383:{3,5,7}:{(360,1),(363,1),(364,1),(399,1),(400,1)}
       384:{4,7}:{(361,1),(365,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(399,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(370,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(371,1),(372,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(373,1),(403,1)}
       390:{2,4,6}:{(370,1),(380,1),(401,1),(404,1),(407,1),(412,1)}
       391:{2,5,7}:{(371,1),(374,1),(381,1),(402,1),(404,1)}
       392:{3,5}:{(372,1),(374,1),(405,1)}
       393:{4,6}:{(373,1),(403,1),(405,1)}
       394:{1,5}:{(375,1),(377,1)}
       395:{1,4,7}:{(375,1),(376,1),(378,1),(406,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(380,1),(382,1),(401,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{3,5,6}:{(382,1),(383,1),(385,1),(408,1)}
       400:{4,5,7}:{(383,1),(384,1),(386,1),(408,1)}
       401:{3,6}:{(387,1),(390,1)}
       402:{3,5,7}:{(388,1),(391,1),(392,1),(409,1),(410,1)}
       403:{4,7}:{(389,1),(393,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(409,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{3,5,6}:{(401,1),(402,1),(404,1),(412,1)}
       410:{4,5,7}:{(402,1),(403,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 785 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 786 :   0:{1,2,6,7}:{(3,1),(4,1),(125,1),(207,1),(210,1),(220,1),(278,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(69,1),(125,1),(278,1),(281,1),(341,1)}
         2:{3,4,6,7}:{(5,1),(7,1),(28,1),(30,1),(69,1),(341,1),(343,1),(386,1)}
         3:{1,3,6,7}:{(0,1),(1,1),(8,1),(9,1),(10,1),(89,1),(166,1),(252,1)}
         4:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(90,1),(97,1),(247,1),(260,1),(314,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(9,1),(13,1),(15,1),(44,1),(318,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(42,1),(45,1),(90,1),(314,1),(366,1),(370,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(369,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(19,1),(117,1),(125,1),(220,1),(223,1),(228,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(18,1),(20,1),(22,1),(59,1),(292,1)}
        10:{1,3,5,7}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(22,1),(24,1),(66,1),(126,1)}
        11:{1,2,5,6}:{(4,1),(21,1),(23,1),(125,1),(128,1),(133,1),(209,1),(210,1),(214,1),(222,1),(280,1)}
        12:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(286,1),(298,1),(344,1),(351,1)}
        13:{2,5,7}:{(5,1),(7,1),(20,1),(25,1),(349,1)}
        14:{2,3,5,6}:{(6,1),(21,1),(25,1),(27,1),(65,1),(69,1),(71,1),(125,1),(128,1),(280,1),(281,1),(284,1),(342,1),(347,1),(349,1)}
        15:{2,4,7}:{(6,1),(22,1),(27,1),(28,1),(386,1)}
        16:{3,5,6}:{(7,1),(25,1),(30,1),(69,1)}
        17:{4,5,7}:{(7,1),(30,1),(386,1),(388,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(35,1),(82,1),(264,1)}
        19:{2,3,5,7}:{(8,1),(10,1),(33,1),(34,1),(35,1),(42,1),(83,1),(90,1),(260,1),(267,1),(333,1)}
        20:{1,5,7}:{(9,1),(13,1),(33,1),(36,1),(328,1)}
        21:{1,3,5,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(38,1),(41,1),(89,1),(91,1),(96,1),(166,1),(169,1),(252,1),(256,1),(328,1)}
        22:{1,4,7}:{(10,1),(15,1),(35,1),(38,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(92,1),(250,1),(262,1),(316,1),(325,1)}
        24:{1,3,7}:{(12,1),(41,1),(42,1),(333,1),(370,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(44,1),(45,1),(46,1),(90,1)}
        27:{2,4,6}:{(14,1),(15,1),(38,1),(46,1),(47,1),(320,1),(368,1)}
        28:{3,4,7}:{(15,1),(45,1),(47,1),(370,1)}
        29:{3,5,6,7}:{(16,1),(43,1),(49,1),(99,1),(107,1),(366,1),(401,1)}
        30:{4,6}:{(16,1),(17,1)}
        31:{3,4,5,7}:{(17,1),(45,1),(51,1),(52,1),(103,1),(107,1),(175,1),(312,1),(369,1),(400,1),(402,1)}
        32:{3,4,6,7}:{(18,1),(53,1),(57,1),(113,1),(117,1),(228,1),(230,1),(305,1)}
        33:{2,5,7}:{(18,1),(20,1),(53,1),(54,1),(303,1)}
        34:{2,3,5,6}:{(19,1),(21,1),(54,1),(56,1),(65,1),(117,1),(119,1),(125,1),(128,1),(222,1),(223,1),(226,1),(229,1),(301,1),(303,1)}
        35:{2,4,7}:{(19,1),(22,1),(56,1),(57,1),(305,1)}
        36:{1,5,6}:{(20,1),(25,1),(54,1),(59,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(26,1),(55,1),(59,1),(60,1),(61,1),(126,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(56,1),(61,1),(295,1)}
        39:{1,3,4,7}:{(22,1),(24,1),(28,1),(57,1),(60,1),(62,1),(63,1)}
        40:{1,2,4,5}:{(23,1),(61,1),(64,1),(128,1),(131,1),(213,1),(214,1),(225,1),(283,1),(293,1),(295,1),(296,1)}
        41:{1,3,6}:{(23,1),(24,1),(64,1),(65,1),(301,1),(347,1)}
        42:{2,3,7}:{(24,1),(63,1),(65,1),(66,1),(351,1)}
        43:{2,5,6,7}:{(25,1),(29,1),(58,1),(67,1),(144,1),(340,1),(391,1)}
        44:{2,4,6}:{(25,1),(26,1),(30,1),(59,1),(69,1),(125,1)}
        45:{3,5,7}:{(26,1),(28,1),(69,1),(71,1)}
        46:{2,4,5}:{(27,1),(61,1),(71,1),(128,1),(349,1),(388,1)}
        47:{3,4,6}:{(27,1),(28,1),(69,1),(71,1),(347,1),(350,1)}
        48:{2,3,4,7}:{(28,1),(63,1),(70,1),(72,1),(73,1),(204,1),(218,1),(282,1),(285,1),(389,1),(394,1)}
        49:{4,6,7}:{(29,1),(30,1),(74,1),(386,1),(408,1)}
        50:{4,5,6}:{(30,1),(74,1),(76,1),(388,1),(408,1)}
        51:{3,4,6}:{(30,1),(31,1),(69,1),(76,1),(77,1),(408,1),(409,1)}
        52:{2,4,5,7}:{(31,1),(70,1),(77,1),(78,1),(140,1),(144,1),(218,1),(282,1),(349,1)}
        53:{3,5,7}:{(32,1),(33,1),(79,1),(80,1),(270,1)}
        54:{2,5,6}:{(33,1),(36,1),(79,1),(82,1)}
        55:{2,4,5,7}:{(33,1),(35,1),(37,1),(80,1),(82,1),(83,1),(84,1),(90,1)}
        56:{2,4,6}:{(34,1),(35,1),(38,1),(84,1),(85,1),(266,1),(269,1)}
        57:{3,4,7}:{(35,1),(83,1),(85,1),(333,1)}
        58:{1,5,6,7}:{(36,1),(43,1),(81,1),(87,1),(185,1),(308,1),(379,1)}
        59:{1,4,6}:{(36,1),(37,1),(44,1),(82,1),(89,1),(166,1)}
        60:{1,3,5,7}:{(37,1),(39,1),(45,1),(83,1),(89,1),(90,1),(91,1)}
        61:{1,4,5}:{(38,1),(46,1),(84,1),(91,1),(169,1),(328,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(41,1),(47,1),(85,1),(89,1),(91,1),(92,1),(94,1)}
        63:{2,4,7}:{(39,1),(42,1),(90,1),(92,1),(93,1)}
        64:{1,3,5}:{(40,1),(41,1),(94,1),(95,1),(265,1),(319,1),(332,1)}
        65:{2,3,6}:{(41,1),(42,1),(92,1),(95,1),(96,1),(325,1)}
        66:{1,3,7}:{(42,1),(93,1),(96,1),(97,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(49,1),(87,1),(98,1),(99,1),(163,1),(403,1)}
        68:{2,4,5,6}:{(44,1),(46,1),(50,1),(88,1),(98,1),(100,1),(109,1),(165,1),(178,1),(310,1),(316,1),(368,1),(374,1),(403,1)}
        69:{3,6}:{(44,1),(45,1)}
        70:{2,3,5,7}:{(45,1),(48,1),(52,1),(90,1),(101,1),(102,1),(104,1),(402,1),(405,1)}
        71:{3,5}:{(46,1),(47,1)}
        72:{2,3,4,6}:{(47,1),(48,1),(92,1),(101,1),(104,1),(105,1),(172,1),(178,1),(245,1),(249,1),(318,1),(320,1),(373,1),(381,1)}
        73:{1,3,4,7}:{(48,1),(93,1),(102,1),(105,1),(106,1),(171,1),(189,1),(253,1),(259,1),(321,1),(333,1),(404,1)}
        74:{4,5,7}:{(49,1),(50,1),(107,1)}
        75:{3,4,6,7}:{(49,1),(51,1),(99,1),(107,1),(108,1),(175,1)}
        76:{3,5,6}:{(50,1),(51,1),(107,1),(109,1),(369,1)}
        77:{2,4,6}:{(51,1),(52,1),(101,1),(109,1),(110,1)}
        78:{1,4,5,7}:{(52,1),(102,1),(110,1),(111,1),(182,1),(185,1),(253,1),(259,1),(328,1)}
        79:{3,5,6}:{(53,1),(54,1),(113,1),(117,1)}
        80:{4,5,7}:{(53,1),(113,1),(305,1),(307,1)}
        81:{2,5,6,7}:{(54,1),(58,1),(112,1),(115,1),(227,1),(271,1),(363,1)}
        82:{2,4,6}:{(54,1),(55,1),(59,1),(113,1),(117,1),(125,1)}
        83:{3,5,7}:{(55,1),(57,1),(117,1),(119,1)}
        84:{2,4,5}:{(56,1),(61,1),(119,1),(128,1),(303,1),(307,1)}
        85:{3,4,6}:{(56,1),(57,1),(117,1),(119,1),(301,1),(304,1)}
        86:{2,3,4,7}:{(57,1),(63,1),(118,1),(120,1),(121,1),(143,1),(224,1),(276,1),(285,1),(361,1),(394,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(67,1),(115,1),(122,1),(123,1),(207,1),(396,1)}
        88:{1,4,5,6}:{(59,1),(61,1),(68,1),(116,1),(122,1),(124,1),(146,1),(209,1),(221,1),(273,1),(279,1),(358,1),(396,1)}
        89:{1,3,6}:{(59,1),(60,1),(69,1),(117,1),(125,1)}
        90:{2,5,7}:{(60,1),(63,1),(125,1),(126,1),(128,1)}
        91:{1,3,5}:{(61,1),(62,1),(71,1),(119,1),(128,1)}
        92:{2,4,6}:{(62,1),(63,1),(65,1),(125,1),(128,1),(129,1),(131,1)}
        93:{1,4,7}:{(63,1),(66,1),(126,1),(129,1)}
        94:{1,3,4}:{(64,1),(131,1),(295,1),(304,1),(350,1)}
        95:{2,3,5}:{(64,1),(65,1),(128,1),(131,1),(132,1),(293,1),(297,1)}
        96:{1,3,6}:{(65,1),(66,1),(129,1),(132,1),(133,1)}
        97:{1,2,7}:{(66,1),(133,1),(351,1)}
        98:{2,4,5,7}:{(67,1),(68,1),(74,1),(122,1),(134,1),(144,1),(206,1),(218,1),(340,1),(344,1),(386,1)}
        99:{3,6,7}:{(67,1),(69,1),(134,1),(409,1)}
       100:{3,5,6}:{(68,1),(69,1),(71,1),(134,1),(136,1),(347,1),(392,1),(409,1)}
       101:{2,3,6}:{(69,1),(70,1),(77,1),(125,1),(138,1),(409,1),(411,1)}
       102:{1,3,5,7}:{(70,1),(73,1),(78,1),(126,1),(138,1),(139,1),(141,1),(148,1),(410,1)}
       103:{3,4,5}:{(71,1),(136,1),(140,1),(350,1),(388,1),(392,1)}
       104:{2,3,5}:{(71,1),(72,1),(128,1),(140,1),(141,1),(349,1),(392,1),(398,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(129,1),(138,1),(141,1),(142,1),(215,1),(216,1),(221,1),(230,1),(289,1),(292,1),(295,1),(301,1),(304,1),(397,1)}
       106:{2,4,7}:{(73,1),(139,1),(142,1),(143,1),(351,1)}
       107:{3,5,7}:{(74,1),(75,1),(76,1),(144,1)}
       108:{2,4,6,7}:{(75,1),(77,1),(135,1),(144,1),(145,1),(218,1)}
       109:{2,5,6}:{(76,1),(77,1),(144,1),(146,1),(349,1)}
       110:{1,4,6}:{(77,1),(78,1),(138,1),(146,1),(147,1)}
       111:{2,4,5,7}:{(78,1),(139,1),(147,1),(148,1),(224,1),(225,1),(227,1),(298,1),(303,1),(305,1),(307,1)}
       112:{3,5,6,7}:{(79,1),(81,1),(149,1),(154,1),(231,1),(267,1),(339,1)}
       113:{4,6}:{(79,1),(80,1)}
       114:{3,4,5,7}:{(80,1),(83,1),(151,1),(152,1),(158,1),(189,1),(231,1),(236,1),(270,1),(338,1),(384,1)}
       115:{2,4,6,7}:{(81,1),(82,1),(87,1),(149,1),(153,1),(154,1),(163,1),(385,1)}
       116:{2,4,5,6}:{(82,1),(84,1),(88,1),(150,1),(153,1),(155,1),(165,1),(187,1),(233,1),(239,1),(262,1),(269,1),(337,1),(385,1)}
       117:{3,6}:{(82,1),(83,1)}
       118:{2,3,5,7}:{(83,1),(86,1),(90,1),(152,1),(156,1),(157,1),(159,1),(384,1),(405,1)}
       119:{3,5}:{(84,1),(85,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(92,1),(156,1),(159,1),(160,1),(172,1),(184,1),(239,1),(249,1),(264,1),(266,1),(336,1),(381,1)}
       121:{1,3,4,7}:{(86,1),(93,1),(157,1),(160,1),(161,1),(171,1),(253,1),(312,1),(313,1),(321,1),(370,1),(404,1)}
       122:{1,4,5,7}:{(87,1),(88,1),(98,1),(153,1),(162,1),(185,1),(247,1),(259,1),(308,1),(313,1)}
       123:{1,3,6,7}:{(87,1),(89,1),(99,1),(154,1),(162,1),(163,1),(406,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(91,1),(100,1),(155,1),(162,1),(164,1),(165,1),(382,1),(406,1)}
       125:{2,6}:{(89,1),(90,1),(166,1)}
       126:{1,5,7}:{(90,1),(93,1),(166,1),(169,1)}
       127:{1,3,4,5}:{(91,1),(94,1),(103,1),(158,1),(164,1),(168,1),(182,1),(243,1),(254,1),(265,1),(319,1),(331,1),(382,1)}
       128:{2,5}:{(91,1),(92,1),(169,1)}
       129:{1,4,6}:{(92,1),(93,1),(96,1),(166,1),(169,1),(173,1)}
       130:{1,2,4,7}:{(93,1),(97,1),(106,1),(161,1),(167,1),(170,1),(171,1),(253,1),(375,1),(404,1)}
       131:{2,4}:{(94,1),(95,1),(173,1)}
       132:{1,3,5}:{(95,1),(96,1),(169,1),(173,1),(174,1),(258,1)}
       133:{1,2,6}:{(96,1),(97,1),(174,1),(325,1)}
       134:{3,5,7}:{(98,1),(99,1),(100,1),(175,1),(370,1)}
       135:{2,3,6,7}:{(99,1),(101,1),(108,1),(163,1),(176,1),(177,1)}
       136:{3,4,6}:{(100,1),(103,1),(175,1),(178,1),(368,1)}
       137:{2,3,5,6}:{(100,1),(101,1),(104,1),(109,1),(165,1),(176,1),(178,1),(179,1),(249,1)}
       138:{1,3,6}:{(101,1),(102,1),(110,1),(166,1),(180,1),(188,1),(412,1)}
       139:{2,5,7}:{(102,1),(106,1),(180,1),(183,1)}
       140:{2,4,5}:{(103,1),(104,1),(178,1),(182,1),(320,1)}
       141:{1,3,5}:{(104,1),(105,1),(169,1),(182,1),(183,1),(265,1),(270,1),(328,1),(407,1)}
       142:{2,4,6}:{(105,1),(106,1),(180,1),(183,1),(184,1),(257,1),(266,1),(325,1)}
       143:{2,3,7}:{(106,1),(171,1),(184,1),(333,1)}
       144:{2,5,7}:{(107,1),(108,1),(109,1),(185,1)}
       145:{1,4,6,7}:{(108,1),(110,1),(177,1),(185,1),(186,1),(259,1)}
       146:{1,5,6}:{(109,1),(110,1),(185,1),(187,1),(328,1)}
       147:{2,4,6}:{(110,1),(111,1),(180,1),(187,1),(188,1),(269,1)}
       148:{3,5,7}:{(111,1),(188,1),(189,1),(265,1),(270,1),(333,1)}
       149:{4,6,7}:{(112,1),(113,1),(190,1),(305,1),(365,1)}
       150:{4,5,6}:{(113,1),(190,1),(192,1),(307,1),(365,1)}
       151:{3,4,6}:{(113,1),(114,1),(117,1),(192,1),(193,1),(365,1),(399,1)}
       152:{2,4,5,7}:{(114,1),(118,1),(193,1),(194,1),(201,1),(224,1),(271,1),(276,1),(303,1)}
       153:{2,4,5,7}:{(115,1),(116,1),(122,1),(190,1),(195,1),(206,1),(227,1),(271,1),(276,1),(298,1),(305,1)}
       154:{3,6,7}:{(115,1),(117,1),(195,1),(399,1)}
       155:{3,5,6}:{(116,1),(117,1),(119,1),(195,1),(197,1),(301,1),(364,1),(399,1)}
       156:{2,3,6}:{(117,1),(118,1),(125,1),(193,1),(199,1),(399,1),(411,1)}
       157:{1,3,5,7}:{(118,1),(121,1),(126,1),(194,1),(199,1),(200,1),(202,1),(275,1),(410,1)}
       158:{3,4,5}:{(119,1),(197,1),(201,1),(304,1),(307,1),(364,1)}
       159:{2,3,5}:{(119,1),(120,1),(128,1),(201,1),(202,1),(303,1),(364,1),(398,1)}
       160:{1,3,4,6}:{(120,1),(121,1),(129,1),(199,1),(202,1),(203,1),(215,1),(216,1),(279,1),(289,1),(292,1),(295,1),(343,1),(347,1),(350,1),(397,1)}
       161:{2,4,7}:{(121,1),(200,1),(203,1),(204,1),(351,1)}
       162:{1,3,5,7}:{(122,1),(123,1),(124,1),(134,1),(195,1),(205,1),(206,1)}
       163:{2,6,7}:{(123,1),(125,1),(206,1),(207,1),(411,1)}
       164:{1,3,4,6}:{(124,1),(127,1),(136,1),(197,1),(205,1),(208,1),(221,1),(279,1),(289,1),(301,1),(347,1)}
       165:{2,5,6}:{(124,1),(125,1),(128,1),(206,1),(208,1),(209,1),(398,1),(411,1)}
       166:{1,6}:{(125,1),(126,1)}
       167:{1,2,5,7}:{(126,1),(130,1),(139,1),(200,1),(210,1),(211,1),(214,1),(410,1)}
       168:{2,4,5}:{(127,1),(128,1),(131,1),(208,1),(212,1),(213,1),(293,1),(360,1),(398,1)}
       169:{1,5}:{(128,1),(129,1)}
       170:{1,2,4,6}:{(129,1),(130,1),(133,1),(142,1),(203,1),(210,1),(214,1),(215,1),(217,1),(292,1),(295,1),(296,1),(355,1),(397,1)}
       171:{1,3,7}:{(130,1),(143,1),(204,1),(215,1)}
       172:{2,3,4}:{(131,1),(212,1),(216,1),(297,1),(304,1),(350,1),(360,1)}
       173:{1,4}:{(131,1),(132,1)}
       174:{1,2,5}:{(132,1),(133,1),(217,1),(293,1)}
       175:{3,4,7}:{(134,1),(136,1),(218,1),(386,1)}
       176:{2,3,5,7}:{(134,1),(135,1),(137,1),(144,1),(206,1),(218,1),(219,1),(285,1)}
       177:{1,3,6,7}:{(135,1),(138,1),(145,1),(207,1),(219,1),(220,1),(228,1)}
       178:{2,4,6}:{(136,1),(137,1),(140,1),(218,1),(221,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(209,1),(219,1),(221,1),(222,1),(229,1),(289,1),(301,1)}
       180:{2,6}:{(138,1),(139,1)}
       181:{2,3,5,7}:{(139,1),(143,1),(148,1),(211,1),(223,1),(224,1),(226,1),(303,1)}
       182:{1,4,5}:{(140,1),(141,1),(221,1),(225,1),(295,1),(307,1)}
       183:{2,5}:{(141,1),(142,1)}
       184:{2,3,6}:{(142,1),(143,1),(215,1),(226,1),(297,1),(301,1)}
       185:{1,5,7}:{(144,1),(145,1),(146,1),(227,1)}
       186:{2,4,6,7}:{(145,1),(147,1),(220,1),(227,1),(228,1),(298,1),(305,1)}
       187:{2,5,6}:{(146,1),(147,1),(227,1),(229,1),(303,1)}
       188:{3,6}:{(147,1),(148,1)}
       189:{3,4,7}:{(148,1),(224,1),(230,1),(304,1),(305,1)}
       190:{4,5,7}:{(149,1),(150,1),(231,1)}
       191:{3,4,6,7}:{(149,1),(151,1),(154,1),(231,1),(232,1),(236,1)}
       192:{3,5,6}:{(150,1),(151,1),(231,1),(233,1),(270,1)}
       193:{2,4,6}:{(151,1),(152,1),(156,1),(233,1),(234,1)}
       194:{1,4,5,7}:{(152,1),(157,1),(234,1),(235,1),(243,1),(253,1),(308,1),(313,1),(328,1)}
       195:{3,5,7}:{(153,1),(154,1),(155,1),(236,1),(333,1)}
       196:{2,3,6,7}:{(154,1),(156,1),(163,1),(232,1),(237,1),(238,1)}
       197:{3,4,6}:{(155,1),(158,1),(236,1),(239,1),(269,1)}
       198:{2,3,5,6}:{(155,1),(156,1),(159,1),(165,1),(233,1),(237,1),(239,1),(240,1),(249,1)}
       199:{1,3,6}:{(156,1),(157,1),(166,1),(234,1),(241,1),(311,1),(412,1)}
       200:{2,5,7}:{(157,1),(161,1),(241,1),(244,1)}
       201:{2,4,5}:{(158,1),(159,1),(239,1),(243,1),(266,1)}
       202:{1,3,5}:{(159,1),(160,1),(169,1),(243,1),(244,1),(319,1),(328,1),(369,1),(407,1)}
       203:{2,4,6}:{(160,1),(161,1),(241,1),(244,1),(245,1),(257,1),(320,1),(325,1)}
       204:{2,3,7}:{(161,1),(171,1),(245,1),(370,1)}
       205:{1,3,4,7}:{(162,1),(164,1),(175,1),(236,1),(246,1),(259,1),(313,1),(321,1),(333,1),(370,1)}
       206:{2,5,7}:{(162,1),(163,1),(165,1),(246,1),(247,1)}
       207:{1,6,7}:{(163,1),(166,1),(247,1),(412,1)}
       208:{2,4,6}:{(164,1),(165,1),(168,1),(246,1),(249,1),(250,1),(325,1)}
       209:{1,5,6}:{(165,1),(166,1),(169,1),(247,1),(250,1),(407,1),(412,1)}
       210:{1,2,6}:{(166,1),(167,1),(180,1),(241,1),(252,1),(412,1)}
       211:{1,3,5,7}:{(167,1),(171,1),(181,1),(242,1),(252,1),(253,1),(256,1),(328,1)}
       212:{2,3,5}:{(168,1),(172,1),(249,1),(254,1),(265,1),(319,1)}
       213:{1,4,5}:{(168,1),(169,1),(173,1),(250,1),(254,1),(383,1),(407,1)}
       214:{1,2,5}:{(169,1),(170,1),(183,1),(244,1),(256,1),(328,1),(407,1)}
       215:{1,3,6}:{(170,1),(171,1),(184,1),(245,1),(256,1),(258,1),(332,1)}
       216:{1,3,4}:{(172,1),(173,1),(254,1),(257,1),(258,1),(332,1),(383,1)}
       217:{1,2,4}:{(173,1),(174,1),(257,1),(258,1)}
       218:{2,4,7}:{(175,1),(176,1),(178,1),(259,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(179,1),(185,1),(247,1),(259,1),(260,1),(267,1),(321,1),(333,1)}
       220:{2,6,7}:{(177,1),(180,1),(260,1)}
       221:{1,4,6}:{(178,1),(179,1),(182,1),(259,1),(262,1),(269,1)}
       222:{2,5,6}:{(179,1),(180,1),(183,1),(260,1),(262,1),(325,1)}
       223:{2,3,6}:{(180,1),(181,1),(188,1),(252,1),(264,1)}
       224:{2,4,7}:{(181,1),(189,1),(253,1),(264,1),(266,1)}
       225:{2,4,5}:{(182,1),(183,1),(262,1),(265,1),(266,1)}
       226:{2,3,5}:{(183,1),(184,1),(256,1),(265,1),(266,1)}
       227:{2,5,7}:{(185,1),(186,1),(187,1),(267,1)}
       228:{3,6,7}:{(186,1),(188,1),(267,1),(333,1)}
       229:{3,5,6}:{(187,1),(188,1),(267,1),(269,1),(270,1)}
       230:{3,4,6}:{(188,1),(189,1),(264,1),(269,1),(270,1)}
       231:{3,5,7}:{(190,1),(191,1),(192,1),(271,1)}
       232:{2,4,6,7}:{(191,1),(193,1),(196,1),(271,1),(272,1),(276,1)}
       233:{2,5,6}:{(192,1),(193,1),(271,1),(273,1),(303,1)}
       234:{1,4,6}:{(193,1),(194,1),(199,1),(273,1),(274,1)}
       235:{2,4,5,7}:{(194,1),(200,1),(274,1),(275,1),(282,1),(283,1),(340,1),(344,1),(349,1),(386,1),(388,1)}
       236:{3,4,7}:{(195,1),(197,1),(276,1),(305,1)}
       237:{2,3,5,7}:{(195,1),(196,1),(198,1),(206,1),(271,1),(276,1),(277,1),(285,1)}
       238:{1,3,6,7}:{(196,1),(199,1),(207,1),(272,1),(277,1),(278,1),(341,1)}
       239:{2,4,6}:{(197,1),(198,1),(201,1),(276,1),(279,1)}
       240:{1,3,5,6}:{(198,1),(199,1),(202,1),(209,1),(273,1),(277,1),(279,1),(280,1),(289,1),(342,1),(347,1)}
       241:{2,6}:{(199,1),(200,1)}
       242:{2,3,5,7}:{(200,1),(204,1),(211,1),(275,1),(281,1),(282,1),(284,1),(349,1)}
       243:{1,4,5}:{(201,1),(202,1),(279,1),(283,1),(295,1),(388,1)}
       244:{2,5}:{(202,1),(203,1)}
       245:{2,3,6}:{(203,1),(204,1),(215,1),(284,1),(297,1),(347,1)}
       246:{2,4,7}:{(205,1),(206,1),(208,1),(285,1),(286,1),(351,1)}
       247:{1,5,7}:{(206,1),(207,1),(209,1),(286,1)}
       248:{1,2,6,7}:{(207,1),(210,1),(220,1),(278,1),(287,1),(288,1),(411,1)}
       249:{2,3,6}:{(208,1),(212,1),(285,1),(289,1),(301,1),(347,1)}
       250:{1,4,6}:{(208,1),(209,1),(213,1),(286,1),(289,1)}
       251:{1,2,5,6}:{(209,1),(210,1),(214,1),(222,1),(280,1),(287,1),(290,1),(291,1),(355,1),(398,1),(411,1)}
       252:{1,3,6}:{(210,1),(211,1),(223,1),(281,1),(292,1)}
       253:{1,4,7}:{(211,1),(224,1),(282,1),(292,1),(295,1)}
       254:{1,3,5}:{(212,1),(213,1),(216,1),(289,1),(293,1)}
       255:{1,2,4,5}:{(213,1),(214,1),(217,1),(225,1),(283,1),(290,1),(293,1),(294,1),(295,1),(358,1),(360,1),(398,1)}
       256:{1,3,5}:{(214,1),(215,1),(226,1),(284,1),(295,1)}
       257:{2,4}:{(216,1),(293,1),(297,1)}
       258:{1,3}:{(217,1),(297,1)}
       259:{1,4,7}:{(218,1),(219,1),(221,1),(298,1),(305,1)}
       260:{2,5,7}:{(219,1),(220,1),(222,1),(298,1),(351,1)}
       261:{2,3,6,7}:{(220,1),(223,1),(228,1),(288,1),(299,1),(300,1),(399,1),(411,1)}
       262:{2,4,6}:{(221,1),(222,1),(225,1),(298,1),(301,1)}
       263:{2,3,5,6}:{(222,1),(223,1),(226,1),(229,1),(291,1),(299,1),(301,1),(302,1),(303,1),(356,1),(363,1),(364,1),(398,1),(399,1),(411,1)}
       264:{2,4,6}:{(223,1),(224,1),(230,1),(292,1),(303,1)}
       265:{3,5}:{(225,1),(301,1),(304,1)}
       266:{2,4}:{(226,1),(295,1),(304,1)}
       267:{3,5,7}:{(227,1),(228,1),(229,1),(305,1)}
       268:{3,4,6,7}:{(228,1),(230,1),(300,1),(305,1),(306,1),(361,1),(365,1),(399,1)}
       269:{4,6}:{(229,1),(305,1),(307,1)}
       270:{3,5}:{(230,1),(303,1),(307,1)}
       271:{2,5,7}:{(231,1),(232,1),(233,1),(308,1)}
       272:{1,4,6,7}:{(232,1),(234,1),(238,1),(308,1),(309,1),(313,1)}
       273:{1,5,6}:{(233,1),(234,1),(308,1),(310,1),(328,1)}
       274:{2,4,6}:{(234,1),(235,1),(241,1),(310,1),(311,1),(368,1)}
       275:{3,5,7}:{(235,1),(311,1),(312,1),(319,1),(369,1),(370,1)}
       276:{2,4,7}:{(236,1),(237,1),(239,1),(313,1)}
       277:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(308,1),(313,1),(314,1),(321,1),(366,1),(370,1)}
       278:{2,6,7}:{(238,1),(241,1),(314,1)}
       279:{1,4,6}:{(239,1),(240,1),(243,1),(313,1),(316,1),(368,1)}
       280:{2,5,6}:{(240,1),(241,1),(244,1),(314,1),(316,1),(325,1)}
       281:{2,3,6}:{(241,1),(242,1),(252,1),(311,1),(318,1)}
       282:{2,4,7}:{(242,1),(253,1),(312,1),(318,1),(320,1)}
       283:{2,4,5}:{(243,1),(244,1),(316,1),(319,1),(320,1)}
       284:{2,3,5}:{(244,1),(245,1),(256,1),(319,1),(320,1)}
       285:{2,3,7}:{(246,1),(249,1),(321,1),(333,1),(370,1)}
       286:{1,4,7}:{(246,1),(247,1),(250,1),(321,1)}
       287:{1,2,5,7}:{(247,1),(248,1),(251,1),(260,1),(314,1),(322,1),(323,1),(375,1),(405,1)}
       288:{1,3,6,7}:{(248,1),(252,1),(261,1),(315,1),(323,1),(324,1),(406,1),(412,1)}
       289:{1,3,6}:{(249,1),(250,1),(254,1),(321,1),(325,1)}
       290:{1,2,4,6}:{(250,1),(251,1),(255,1),(262,1),(316,1),(322,1),(325,1),(326,1),(327,1),(381,1)}
       291:{1,3,5,6}:{(251,1),(252,1),(256,1),(263,1),(317,1),(323,1),(326,1),(327,1),(328,1),(379,1),(380,1),(382,1),(406,1),(407,1),(412,1)}
       292:{1,4,6}:{(252,1),(253,1),(264,1),(318,1),(328,1)}
       293:{2,5}:{(254,1),(257,1),(325,1)}
       294:{1,3,5}:{(255,1),(258,1),(265,1),(319,1),(326,1),(330,1),(331,1)}
       295:{1,4}:{(256,1),(266,1),(320,1)}
       296:{1,2,4}:{(257,1),(329,1),(332,1),(383,1)}
       297:{2,3}:{(257,1),(258,1),(332,1)}
       298:{2,4,7}:{(259,1),(260,1),(262,1),(333,1)}
       299:{2,3,5,7}:{(260,1),(261,1),(263,1),(267,1),(323,1),(333,1),(334,1),(335,1),(376,1),(384,1),(405,1)}
       300:{2,4,6,7}:{(261,1),(264,1),(268,1),(324,1),(334,1),(335,1),(385,1)}
       301:{3,6}:{(262,1),(265,1),(333,1)}
       302:{2,4,6}:{(263,1),(266,1),(269,1),(327,1),(334,1),(336,1),(337,1)}
       303:{2,5}:{(264,1),(270,1),(328,1)}
       304:{3,4}:{(265,1),(266,1)}
       305:{4,7}:{(267,1),(269,1)}
       306:{3,5,7}:{(268,1),(270,1),(335,1),(338,1),(339,1)}
       307:{4,5}:{(269,1),(270,1)}
       308:{1,5,7}:{(271,1),(272,1),(273,1),(340,1)}
       309:{2,4,6,7}:{(272,1),(274,1),(278,1),(340,1),(341,1),(344,1),(386,1)}
       310:{2,5,6}:{(273,1),(274,1),(340,1),(342,1),(349,1)}
       311:{3,6}:{(274,1),(275,1)}
       312:{3,4,7}:{(275,1),(282,1),(343,1),(350,1),(386,1)}
       313:{1,4,7}:{(276,1),(277,1),(279,1),(344,1),(386,1)}
       314:{2,5,7}:{(277,1),(278,1),(280,1),(344,1),(351,1)}
       315:{2,3,6,7}:{(278,1),(281,1),(288,1),(341,1),(345,1),(346,1),(409,1),(411,1)}
       316:{2,4,6}:{(279,1),(280,1),(283,1),(344,1),(347,1)}
       317:{2,3,5,6}:{(280,1),(281,1),(284,1),(291,1),(342,1),(345,1),(347,1),(348,1),(349,1),(356,1),(391,1),(392,1),(398,1),(409,1),(411,1)}
       318:{2,4,6}:{(281,1),(282,1),(292,1),(343,1),(349,1)}
       319:{3,5}:{(283,1),(347,1),(350,1)}
       320:{2,4}:{(284,1),(295,1),(350,1)}
       321:{1,3,7}:{(285,1),(286,1),(289,1),(351,1)}
       322:{1,2,4,7}:{(286,1),(287,1),(290,1),(298,1),(344,1),(351,1),(352,1),(353,1),(394,1)}
       323:{1,3,5,7}:{(287,1),(288,1),(291,1),(299,1),(345,1),(352,1),(353,1),(354,1),(393,1),(410,1)}
       324:{1,4,6,7}:{(288,1),(292,1),(300,1),(346,1),(353,1),(354,1),(396,1)}
       325:{2,6}:{(289,1),(293,1),(351,1)}
       326:{1,3,6}:{(290,1),(294,1),(301,1),(347,1),(352,1),(356,1)}
       327:{1,4,6}:{(291,1),(295,1),(302,1),(348,1),(353,1),(358,1)}
       328:{1,5}:{(292,1),(303,1),(349,1)}
       329:{1,2,5}:{(293,1),(296,1),(355,1),(359,1)}
       330:{2,3,5}:{(293,1),(294,1),(297,1),(356,1),(359,1),(360,1),(398,1)}
       331:{1,3,4}:{(294,1),(295,1),(304,1),(350,1),(360,1)}
       332:{1,3}:{(296,1),(297,1)}
       333:{3,7}:{(298,1),(301,1)}
       334:{2,4,7}:{(299,1),(302,1),(305,1),(353,1),(361,1)}
       335:{2,5,7}:{(300,1),(303,1),(306,1),(354,1),(363,1)}
       336:{3,4,6}:{(301,1),(302,1),(304,1),(361,1),(364,1),(399,1)}
       337:{2,4,5}:{(302,1),(303,1),(307,1),(358,1),(364,1),(398,1)}
       338:{4,5,7}:{(305,1),(306,1),(307,1),(365,1)}
       339:{3,5,6}:{(306,1),(363,1),(365,1),(399,1)}
       340:{2,5,7}:{(308,1),(309,1),(310,1),(366,1)}
       341:{3,6,7}:{(309,1),(311,1),(366,1),(370,1)}
       342:{3,5,6}:{(310,1),(311,1),(366,1),(368,1),(369,1)}
       343:{3,4,6}:{(311,1),(312,1),(318,1),(368,1),(369,1)}
       344:{2,4,7}:{(313,1),(314,1),(316,1),(370,1)}
       345:{2,3,5,7}:{(314,1),(315,1),(317,1),(323,1),(366,1),(370,1),(371,1),(372,1),(376,1),(402,1),(405,1)}
       346:{2,4,6,7}:{(315,1),(318,1),(324,1),(367,1),(371,1),(372,1),(403,1)}
       347:{3,6}:{(316,1),(319,1),(370,1)}
       348:{2,4,6}:{(317,1),(320,1),(327,1),(368,1),(371,1),(373,1),(374,1)}
       349:{2,5}:{(318,1),(328,1),(369,1)}
       350:{3,4}:{(319,1),(320,1)}
       351:{2,7}:{(321,1),(325,1)}
       352:{1,3,7}:{(322,1),(326,1),(333,1),(370,1),(376,1)}
       353:{1,4,7}:{(323,1),(327,1),(334,1),(371,1)}
       354:{1,5,7}:{(324,1),(328,1),(335,1),(372,1),(379,1)}
       355:{1,2,6}:{(325,1),(329,1),(375,1),(380,1)}
       356:{2,3,6}:{(325,1),(326,1),(330,1),(376,1),(380,1),(381,1)}
       357:{1,3,4,6}:{(326,1),(327,1),(331,1),(336,1),(373,1),(377,1),(381,1),(382,1),(406,1)}
       358:{1,4,5}:{(327,1),(328,1),(337,1),(374,1),(382,1),(407,1)}
       359:{1,3,5}:{(329,1),(330,1),(332,1),(380,1),(383,1),(407,1)}
       360:{2,4}:{(330,1),(331,1),(383,1)}
       361:{3,4,7}:{(333,1),(334,1),(336,1),(384,1)}
       362:{2,4,5,7}:{(334,1),(335,1),(337,1),(338,1),(378,1),(384,1),(385,1),(405,1)}
       363:{2,5,6}:{(335,1),(339,1),(379,1),(385,1)}
       364:{3,5}:{(336,1),(337,1)}
       365:{4,6}:{(338,1),(339,1)}
       366:{3,5,7}:{(340,1),(341,1),(342,1),(386,1)}
       367:{3,4,6,7}:{(341,1),(343,1),(346,1),(386,1),(387,1),(389,1),(408,1),(409,1)}
       368:{4,6}:{(342,1),(386,1),(388,1)}
       369:{3,5}:{(343,1),(349,1),(388,1)}
       370:{3,7}:{(344,1),(347,1)}
       371:{2,4,7}:{(345,1),(348,1),(353,1),(386,1),(389,1)}
       372:{2,5,7}:{(346,1),(349,1),(354,1),(387,1),(391,1)}
       373:{3,4,6}:{(347,1),(348,1),(350,1),(389,1),(392,1),(409,1)}
       374:{2,4,5}:{(348,1),(349,1),(358,1),(388,1),(392,1),(398,1)}
       375:{1,2,7}:{(351,1),(355,1),(393,1)}
       376:{2,3,7}:{(351,1),(352,1),(356,1),(393,1),(394,1)}
       377:{1,3,4,7}:{(352,1),(353,1),(357,1),(361,1),(389,1),(394,1),(395,1)}
       378:{1,4,5,7}:{(353,1),(354,1),(358,1),(362,1),(390,1),(395,1),(396,1),(410,1)}
       379:{1,5,6}:{(354,1),(363,1),(391,1),(396,1)}
       380:{1,3,6}:{(355,1),(356,1),(359,1),(393,1),(397,1)}
       381:{2,4,6}:{(356,1),(357,1),(360,1),(394,1),(397,1),(398,1),(411,1)}
       382:{1,3,5}:{(357,1),(358,1),(364,1),(392,1),(398,1)}
       383:{1,4}:{(359,1),(360,1)}
       384:{3,5,7}:{(361,1),(362,1),(364,1),(399,1)}
       385:{2,4,6}:{(362,1),(363,1),(365,1),(396,1),(399,1),(411,1)}
       386:{4,7}:{(366,1),(368,1)}
       387:{3,5,7}:{(367,1),(369,1),(372,1),(400,1),(401,1)}
       388:{4,5}:{(368,1),(369,1)}
       389:{3,4,7}:{(370,1),(371,1),(373,1),(402,1)}
       390:{2,4,5,7}:{(371,1),(372,1),(374,1),(378,1),(400,1),(402,1),(403,1),(405,1)}
       391:{2,5,6}:{(372,1),(379,1),(401,1),(403,1)}
       392:{3,5}:{(373,1),(374,1)}
       393:{1,3,7}:{(375,1),(376,1),(380,1),(404,1)}
       394:{2,4,7}:{(376,1),(377,1),(381,1),(404,1),(405,1)}
       395:{1,3,5,7}:{(377,1),(378,1),(382,1),(384,1),(402,1),(405,1),(406,1)}
       396:{1,4,6}:{(378,1),(379,1),(385,1),(403,1),(406,1),(412,1)}
       397:{1,4,6}:{(380,1),(381,1),(383,1),(404,1),(407,1),(412,1)}
       398:{2,5}:{(381,1),(382,1),(407,1)}
       399:{3,6}:{(384,1),(385,1)}
       400:{4,5,7}:{(386,1),(387,1),(388,1),(408,1)}
       401:{3,5,6}:{(387,1),(391,1),(408,1),(409,1)}
       402:{3,5,7}:{(389,1),(390,1),(392,1),(409,1)}
       403:{2,4,6}:{(390,1),(391,1),(396,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(393,1),(394,1),(397,1),(410,1)}
       405:{2,5,7}:{(394,1),(395,1),(398,1),(410,1),(411,1)}
       406:{1,3,6}:{(395,1),(396,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(397,1),(398,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 787 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 788 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 789 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 790 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(4,1),(5,1),(6,1),(19,1),(25,1),(26,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(11,1),(34,1)}
         3:{1,2,6}:{(0,1),(9,1),(10,1),(69,1)}
         4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(11,1),(33,1),(36,1),(68,1)}
         5:{2,3,6}:{(1,1),(9,1),(13,1),(14,1),(41,1),(69,1)}
         6:{2,4}:{(1,1),(11,1),(12,1)}
         7:{2,3,5}:{(4,1),(16,1),(17,1),(19,1),(46,1),(47,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,3,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(84,1)}
        10:{1,2,7}:{(3,1),(22,1),(85,1)}
        11:{1,4}:{(4,1),(6,1),(17,1)}
        12:{3,4}:{(6,1),(25,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(24,1),(26,1),(27,1),(61,1)}
        14:{2,3,7}:{(5,1),(22,1),(27,1),(59,1),(85,1)}
        15:{2,4,5}:{(6,1),(23,1),(25,1),(26,1),(28,1),(51,1),(56,1)}
        16:{2,3,6}:{(7,1),(9,1),(30,1),(31,1),(64,1),(69,1)}
        17:{2,4}:{(7,1),(11,1),(29,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(11,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,4,6}:{(9,1),(11,1),(13,1),(30,1),(36,1),(37,1),(72,1)}
        22:{1,3,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(95,1)}
        23:{1,4,5}:{(11,1),(15,1),(32,1),(35,1),(36,1),(38,1),(68,1)}
        24:{3,4,6}:{(12,1),(13,1),(39,1),(40,1),(41,1),(73,1),(76,1)}
        25:{3,5}:{(12,1),(15,1),(41,1)}
        26:{2,5}:{(13,1),(36,1),(39,1)}
        27:{2,4,7}:{(13,1),(14,1),(37,1),(40,1),(43,1)}
        28:{2,4,6}:{(15,1),(38,1),(41,1),(42,1),(44,1),(69,1),(73,1)}
        29:{3,4}:{(17,1),(46,1)}
        30:{2,4,6}:{(16,1),(17,1),(21,1),(45,1),(47,1),(48,1),(83,1)}
        31:{2,3,7}:{(16,1),(22,1),(48,1),(81,1),(85,1)}
        32:{2,4,5}:{(17,1),(23,1),(46,1),(47,1),(49,1),(51,1),(78,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(23,1),(25,1),(46,1),(51,1),(52,1)}
        36:{1,5}:{(21,1),(26,1),(47,1)}
        37:{1,4,7}:{(21,1),(22,1),(27,1),(48,1),(54,1)}
        38:{1,4,6}:{(23,1),(28,1),(49,1),(52,1),(53,1),(55,1),(84,1)}
        39:{3,5}:{(24,1),(26,1),(56,1)}
        40:{3,4,7}:{(24,1),(27,1),(58,1),(59,1),(87,1)}
        41:{3,6}:{(25,1),(28,1),(59,1)}
        42:{2,5,6}:{(26,1),(28,1),(53,1),(57,1),(60,1),(61,1)}
        43:{2,5,7}:{(26,1),(27,1),(54,1),(58,1),(61,1)}
        44:{2,4,7}:{(28,1),(55,1),(59,1),(60,1),(85,1),(87,1)}
        45:{3,4,6}:{(29,1),(30,1),(62,1),(63,1),(64,1),(90,1),(93,1)}
        46:{3,5}:{(29,1),(32,1),(64,1)}
        47:{2,5}:{(30,1),(36,1),(62,1)}
        48:{2,4,7}:{(30,1),(31,1),(37,1),(63,1),(66,1)}
        49:{2,4,6}:{(32,1),(38,1),(64,1),(65,1),(67,1),(69,1),(90,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(38,1),(41,1),(64,1),(69,1),(70,1)}
        53:{1,5,6}:{(36,1),(38,1),(42,1),(65,1),(71,1),(72,1)}
        54:{1,5,7}:{(36,1),(37,1),(43,1),(66,1),(72,1)}
        55:{1,4,7}:{(38,1),(44,1),(67,1),(70,1),(71,1),(95,1)}
        56:{4,5}:{(39,1),(73,1)}
        57:{3,5,6}:{(39,1),(41,1),(42,1),(73,1),(75,1),(76,1),(97,1)}
        58:{3,5,7}:{(39,1),(40,1),(43,1),(74,1),(76,1)}
        59:{3,7}:{(41,1),(44,1)}
        60:{2,5,7}:{(42,1),(44,1),(71,1),(75,1),(77,1)}
        61:{2,6}:{(43,1),(72,1),(76,1)}
        62:{3,5}:{(45,1),(47,1),(78,1)}
        63:{3,4,7}:{(45,1),(48,1),(80,1),(81,1),(98,1)}
        64:{3,6}:{(46,1),(49,1),(81,1)}
        65:{2,5,6}:{(47,1),(49,1),(53,1),(79,1),(82,1),(83,1)}
        66:{2,5,7}:{(47,1),(48,1),(54,1),(80,1),(83,1)}
        67:{2,4,7}:{(49,1),(55,1),(81,1),(82,1),(85,1),(98,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(55,1),(59,1),(81,1),(85,1)}
        71:{1,5,7}:{(53,1),(55,1),(60,1),(82,1),(86,1)}
        72:{1,6}:{(54,1),(61,1),(83,1)}
        73:{4,6}:{(56,1),(57,1),(87,1)}
        74:{4,5,7}:{(56,1),(58,1),(87,1),(88,1),(101,1)}
        75:{3,5,7}:{(57,1),(59,1),(60,1),(87,1),(89,1),(101,1)}
        76:{3,6}:{(58,1),(61,1),(88,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(89,1)}
        78:{4,5}:{(62,1),(90,1)}
        79:{3,5,6}:{(62,1),(64,1),(65,1),(90,1),(92,1),(93,1),(103,1)}
        80:{3,5,7}:{(62,1),(63,1),(66,1),(91,1),(93,1)}
        81:{3,7}:{(64,1),(67,1)}
        82:{2,5,7}:{(65,1),(67,1),(71,1),(92,1),(94,1)}
        83:{2,6}:{(66,1),(72,1),(93,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,7}:{(73,1),(75,1)}
        88:{4,6}:{(74,1),(76,1),(97,1)}
        89:{3,6,7}:{(75,1),(76,1),(77,1),(96,1)}
        90:{4,6}:{(78,1),(79,1),(98,1)}
        91:{4,5,7}:{(78,1),(80,1),(98,1),(99,1),(104,1)}
        92:{3,5,7}:{(79,1),(81,1),(82,1),(98,1),(100,1),(104,1)}
        93:{3,6}:{(80,1),(83,1),(99,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{5,6}:{(88,1),(101,1)}
        98:{4,7}:{(90,1),(92,1)}
        99:{4,6}:{(91,1),(93,1),(103,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       103:{5,6}:{(99,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 791 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(93,1)}
         1:{2,3,6}:{(4,1),(6,1),(7,1),(8,1),(66,1),(93,1)}
         2:{3,4,6}:{(7,1),(9,1),(10,1),(29,1),(33,1),(36,1),(66,1)}
         3:{1,2,5}:{(0,1),(12,1),(13,1),(41,1),(79,1)}
         4:{1,3,6}:{(0,1),(1,1),(11,1),(13,1),(14,1),(15,1),(99,1)}
         5:{1,2,7}:{(0,1),(15,1),(100,1)}
         6:{2,3,5}:{(1,1),(13,1),(16,1),(17,1),(42,1),(47,1),(79,1)}
         7:{2,4,6}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1)}
         8:{2,3,7}:{(1,1),(15,1),(18,1),(83,1),(100,1)}
         9:{3,5}:{(2,1),(17,1),(19,1)}
        10:{3,4,7}:{(2,1),(18,1),(21,1),(51,1),(83,1)}
        11:{2,3,6}:{(4,1),(22,1),(23,1),(24,1),(89,1),(93,1)}
        12:{1,2,4}:{(3,1),(25,1),(26,1),(61,1)}
        13:{1,3,5}:{(3,1),(4,1),(6,1),(22,1),(25,1),(26,1),(27,1),(60,1),(92,1)}
        14:{1,4,6}:{(4,1),(7,1),(23,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,7}:{(4,1),(5,1),(8,1),(24,1),(28,1),(103,1)}
        16:{2,4}:{(6,1),(26,1),(29,1)}
        17:{2,5}:{(7,1),(9,1),(27,1)}
        18:{2,4,7}:{(7,1),(8,1),(10,1),(28,1),(32,1)}
        19:{4,5}:{(9,1),(33,1)}
        20:{3,5,6}:{(9,1),(31,1),(33,1),(35,1),(36,1),(66,1),(70,1)}
        21:{3,5,7}:{(9,1),(10,1),(32,1),(34,1),(36,1)}
        22:{2,3,5}:{(11,1),(13,1),(38,1),(39,1),(42,1),(74,1),(79,1)}
        23:{2,4,6}:{(11,1),(14,1),(37,1),(38,1),(39,1),(40,1),(77,1)}
        24:{2,3,7}:{(11,1),(15,1),(40,1),(98,1),(100,1)}
        25:{1,3}:{(12,1),(42,1)}
        26:{1,4}:{(13,1),(16,1),(38,1)}
        27:{1,5}:{(14,1),(17,1),(39,1)}
        28:{1,4,7}:{(14,1),(15,1),(18,1),(40,1),(46,1)}
        29:{3,4}:{(16,1),(47,1)}
        30:{2,4,5}:{(16,1),(17,1),(19,1),(44,1),(47,1),(48,1),(79,1)}
        31:{2,5,6}:{(17,1),(20,1),(45,1),(48,1),(49,1),(50,1)}
        32:{2,5,7}:{(17,1),(18,1),(21,1),(46,1),(50,1)}
        33:{4,6}:{(19,1),(20,1),(51,1)}
        34:{4,5,7}:{(19,1),(21,1),(51,1),(52,1),(84,1)}
        35:{3,5,7}:{(20,1),(49,1),(51,1),(53,1),(83,1),(84,1)}
        36:{3,6}:{(21,1),(50,1),(52,1)}
        37:{3,4,6}:{(23,1),(54,1),(55,1),(56,1),(85,1),(88,1),(89,1)}
        38:{2,4}:{(22,1),(26,1),(56,1)}
        39:{2,5}:{(23,1),(27,1),(54,1)}
        40:{2,4,7}:{(23,1),(24,1),(28,1),(55,1),(59,1)}
        41:{1,2}:{(60,1)}
        42:{2,3}:{(25,1),(60,1),(61,1)}
        43:{1,3,4}:{(25,1),(26,1),(29,1),(56,1),(61,1),(62,1)}
        44:{1,4,5}:{(26,1),(27,1),(30,1),(57,1),(62,1),(63,1),(92,1)}
        45:{1,5,6}:{(27,1),(31,1),(58,1),(63,1),(64,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(32,1),(59,1),(65,1)}
        47:{3,5}:{(29,1),(30,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(33,1),(63,1),(66,1),(67,1),(93,1)}
        49:{2,5,7}:{(31,1),(35,1),(64,1),(67,1),(68,1)}
        50:{2,6}:{(32,1),(36,1),(65,1)}
        51:{4,7}:{(33,1),(35,1)}
        52:{4,6}:{(34,1),(36,1),(70,1)}
        53:{3,6,7}:{(35,1),(36,1),(68,1),(69,1)}
        54:{3,5}:{(37,1),(39,1),(71,1)}
        55:{3,4,7}:{(37,1),(40,1),(73,1),(95,1),(98,1)}
        56:{3,4}:{(38,1),(74,1)}
        57:{2,4,5}:{(38,1),(39,1),(44,1),(71,1),(74,1),(75,1),(79,1)}
        58:{2,5,6}:{(39,1),(45,1),(72,1),(75,1),(76,1),(77,1)}
        59:{2,5,7}:{(39,1),(40,1),(46,1),(73,1),(77,1)}
        60:{1,3}:{(41,1),(42,1),(78,1)}
        61:{2,4}:{(42,1),(43,1),(78,1),(79,1)}
        62:{1,3,5}:{(43,1),(44,1),(47,1),(74,1),(79,1),(80,1)}
        63:{1,4,6}:{(44,1),(45,1),(48,1),(75,1),(80,1),(81,1),(99,1)}
        64:{1,5,7}:{(45,1),(49,1),(76,1),(81,1),(82,1)}
        65:{1,6}:{(46,1),(50,1),(77,1)}
        66:{3,6}:{(47,1),(48,1),(83,1)}
        67:{2,4,7}:{(48,1),(49,1),(51,1),(81,1),(83,1),(100,1)}
        68:{2,6,7}:{(49,1),(50,1),(53,1),(82,1)}
        69:{4,6,7}:{(51,1),(52,1),(53,1),(84,1)}
        70:{5,6}:{(52,1),(84,1)}
        71:{4,5}:{(54,1),(85,1)}
        72:{3,5,6}:{(54,1),(58,1),(85,1),(87,1),(88,1),(89,1),(102,1)}
        73:{3,5,7}:{(54,1),(55,1),(59,1),(86,1),(88,1)}
        74:{3,5}:{(56,1),(57,1),(89,1)}
        75:{2,4,6}:{(57,1),(58,1),(63,1),(85,1),(89,1),(90,1),(93,1)}
        76:{2,5,7}:{(58,1),(64,1),(87,1),(90,1),(91,1)}
        77:{2,6}:{(59,1),(65,1),(88,1)}
        78:{1,4}:{(60,1),(61,1),(92,1)}
        79:{2,5}:{(61,1),(62,1),(92,1),(93,1)}
        80:{1,3,6}:{(62,1),(63,1),(66,1),(89,1),(93,1),(94,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(90,1),(94,1),(103,1)}
        82:{1,6,7}:{(64,1),(65,1),(68,1),(91,1)}
        83:{3,7}:{(66,1),(67,1)}
        84:{5,7}:{(69,1),(70,1)}
        85:{4,6}:{(71,1),(72,1),(95,1)}
        86:{4,5,7}:{(71,1),(73,1),(95,1),(96,1),(104,1)}
        87:{3,5,7}:{(72,1),(76,1),(95,1),(97,1),(98,1),(104,1)}
        88:{3,6}:{(73,1),(77,1),(96,1)}
        89:{3,6}:{(74,1),(75,1),(98,1)}
        90:{2,4,7}:{(75,1),(76,1),(81,1),(95,1),(98,1),(100,1)}
        91:{2,6,7}:{(76,1),(77,1),(82,1),(97,1)}
        92:{1,5}:{(78,1),(79,1),(99,1)}
        93:{2,6}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,3,7}:{(80,1),(81,1),(83,1),(98,1),(100,1)}
        95:{4,7}:{(85,1),(87,1)}
        96:{4,6}:{(86,1),(88,1),(102,1)}
        97:{3,6,7}:{(87,1),(88,1),(91,1),(101,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(93,1),(103,1)}
       100:{2,7}:{(93,1),(94,1),(103,1)}
       101:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       102:{5,6}:{(96,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 792 :   0:{1,2,7}:{(3,1),(4,1),(102,1)}
         1:{2,3,7}:{(3,1),(5,1),(6,1),(89,1),(102,1)}
         2:{3,4,7}:{(5,1),(7,1),(8,1),(62,1),(89,1)}
         3:{1,3,7}:{(0,1),(1,1),(9,1),(10,1),(11,1),(104,1)}
         4:{1,2,6}:{(0,1),(11,1),(12,1),(97,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(15,1),(76,1),(97,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(18,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(18,1),(43,1),(47,1),(76,1)}
         9:{2,3,7}:{(3,1),(19,1),(20,1),(101,1),(102,1)}
        10:{1,4,7}:{(3,1),(5,1),(19,1),(21,1),(22,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(20,1),(22,1),(23,1),(103,1)}
        12:{1,2,5}:{(4,1),(23,1),(24,1),(86,1),(88,1)}
        13:{2,5,7}:{(5,1),(7,1),(21,1),(25,1),(26,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(27,1)}
        15:{2,3,5}:{(6,1),(23,1),(26,1),(27,1),(57,1),(60,1),(86,1)}
        16:{4,5,7}:{(7,1),(28,1),(31,1),(61,1),(62,1)}
        17:{3,6}:{(7,1),(25,1),(28,1)}
        18:{3,5}:{(8,1),(26,1),(31,1)}
        19:{2,4,7}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        20:{2,3,6}:{(9,1),(11,1),(34,1),(35,1),(95,1),(97,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(36,1),(37,1)}
        22:{1,4,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(37,1),(38,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(35,1),(37,1),(38,1),(39,1),(74,1),(98,1)}
        24:{1,2,4}:{(12,1),(38,1),(39,1),(73,1)}
        25:{2,6}:{(13,1),(17,1),(36,1)}
        26:{2,5}:{(14,1),(18,1),(37,1)}
        27:{2,4}:{(15,1),(38,1),(43,1)}
        28:{4,6}:{(16,1),(17,1),(45,1)}
        29:{3,6,7}:{(17,1),(40,1),(44,1),(46,1)}
        30:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(46,1),(47,1),(76,1)}
        31:{4,5}:{(18,1),(47,1)}
        32:{3,4,7}:{(19,1),(48,1),(49,1),(100,1),(101,1)}
        33:{2,5,7}:{(19,1),(21,1),(48,1),(50,1),(51,1)}
        34:{2,4,6}:{(19,1),(20,1),(22,1),(49,1),(50,1),(51,1),(52,1)}
        35:{2,3,5}:{(20,1),(23,1),(51,1),(52,1),(57,1),(83,1),(86,1)}
        36:{1,6}:{(21,1),(25,1),(50,1)}
        37:{1,5}:{(22,1),(26,1),(51,1)}
        38:{1,4}:{(23,1),(27,1),(52,1)}
        39:{1,3}:{(24,1),(57,1)}
        40:{2,6,7}:{(25,1),(29,1),(53,1),(58,1)}
        41:{2,5,6}:{(25,1),(26,1),(30,1),(54,1),(58,1),(59,1)}
        42:{2,4,5}:{(26,1),(27,1),(31,1),(55,1),(59,1),(60,1),(86,1)}
        43:{3,4}:{(27,1),(60,1)}
        44:{4,6,7}:{(28,1),(29,1),(61,1),(62,1)}
        45:{5,6}:{(28,1),(61,1)}
        46:{3,5,7}:{(29,1),(30,1),(58,1),(61,1),(62,1),(89,1)}
        47:{4,6}:{(30,1),(31,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(63,1),(64,1),(65,1)}
        49:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        50:{2,6}:{(33,1),(36,1),(64,1)}
        51:{2,5}:{(34,1),(37,1),(65,1)}
        52:{2,4}:{(35,1),(38,1),(69,1)}
        53:{1,6,7}:{(36,1),(40,1),(66,1),(70,1)}
        54:{1,5,6}:{(36,1),(37,1),(41,1),(67,1),(70,1),(71,1)}
        55:{1,4,5}:{(37,1),(38,1),(42,1),(68,1),(71,1),(72,1),(98,1)}
        56:{1,3,4}:{(38,1),(39,1),(43,1),(69,1),(72,1),(73,1)}
        57:{2,3}:{(39,1),(73,1),(74,1)}
        58:{2,5,7}:{(40,1),(41,1),(46,1),(70,1),(75,1)}
        59:{2,4,6}:{(41,1),(42,1),(47,1),(71,1),(75,1),(76,1),(97,1)}
        60:{3,5}:{(42,1),(43,1),(76,1)}
        61:{5,7}:{(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{4,5,7}:{(48,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(48,1),(50,1),(77,1)}
        65:{3,5}:{(49,1),(51,1),(80,1)}
        66:{2,6,7}:{(50,1),(53,1),(78,1),(81,1)}
        67:{2,5,6}:{(50,1),(51,1),(54,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(51,1),(52,1),(55,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(52,1),(83,1)}
        70:{1,5,7}:{(53,1),(54,1),(58,1),(81,1),(84,1)}
        71:{1,4,6}:{(54,1),(55,1),(59,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(55,1),(56,1),(60,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(56,1),(57,1),(86,1),(87,1)}
        74:{1,3}:{(57,1),(87,1),(88,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(59,1),(60,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 793 :  0:{1,2}:{(3,1)}
        1:{2,3}:{(3,1),(4,1)}
        2:{3,4}:{(4,1),(5,1)}
        3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
        4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
        5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
        6:{2,3}:{(3,1),(11,1)}
        7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
        8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
        9:{4,5}:{(5,1),(14,1)}
       10:{3,6}:{(5,1),(13,1),(14,1),(15,1)}
       11:{2,4}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,5}:{(7,1),(8,1),(17,1),(18,1)}
       13:{2,6}:{(8,1),(10,1),(18,1),(19,1)}
       14:{4,6}:{(9,1),(10,1),(20,1),(21,1)}
       15:{3,7}:{(10,1),(19,1),(21,1)}
       16:{3,4}:{(11,1),(22,1)}
       17:{2,5}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,6}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,7}:{(13,1),(15,1),(24,1)}
       20:{5,6}:{(14,1),(25,1)}
       21:{4,7}:{(14,1),(15,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(26,1),(27,1)}
       23:{2,6}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,7}:{(18,1),(19,1),(28,1)}
       25:{5,7}:{(20,1),(21,1),(29,1)}
       26:{4,5}:{(22,1),(30,1)}
       27:{3,6}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,7}:{(23,1),(24,1),(31,1)}
       29:{6,7}:{(25,1)}
       30:{4,6}:{(26,1),(27,1),(32,1),(33,1)}
       31:{3,7}:{(27,1),(28,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 794 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 795 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 796 :   0:{3,4,5}:{(2,1),(3,1),(108,1),(135,1)}
         1:{2,3,4}:{(4,1),(5,1),(59,1),(97,1)}
         2:{2,4,5}:{(0,1),(4,1),(6,1),(7,1),(97,1),(129,1)}
         3:{3,4,6}:{(0,1),(7,1),(8,1),(9,1)}
         4:{2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,3,4}:{(1,1),(11,1),(13,1),(41,1),(45,1),(80,1)}
         6:{1,4,5}:{(2,1),(11,1),(14,1),(15,1),(80,1),(117,1)}
         7:{2,4,6}:{(2,1),(3,1),(12,1),(15,1),(16,1),(17,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(19,1),(135,1),(149,1)}
         9:{3,4,7}:{(3,1),(17,1),(19,1)}
        10:{2,3,4}:{(21,1),(22,1),(27,1),(62,1)}
        11:{1,3,5}:{(4,1),(5,1),(6,1),(24,1),(25,1),(28,1)}
        12:{2,3,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,4}:{(5,1),(24,1),(27,1)}
        14:{2,4,5}:{(6,1),(24,1),(28,1),(29,1),(62,1),(102,1),(104,1)}
        15:{1,4,6}:{(6,1),(7,1),(25,1),(29,1),(30,1),(31,1)}
        16:{2,5,6}:{(7,1),(8,1),(30,1),(32,1),(129,1),(147,1)}
        17:{2,4,7}:{(7,1),(9,1),(26,1),(31,1),(32,1)}
        18:{4,5,6}:{(8,1),(33,1),(143,1),(151,1)}
        19:{3,5,7}:{(8,1),(9,1),(32,1),(33,1),(34,1)}
        20:{3,4,5}:{(35,1),(36,1),(45,1),(85,1)}
        21:{2,3,5}:{(10,1),(35,1),(37,1),(38,1)}
        22:{1,3,4}:{(10,1),(37,1),(39,1),(41,1),(80,1),(108,1)}
        23:{1,2,4}:{(13,1),(39,1),(40,1),(41,1),(80,1)}
        24:{2,5}:{(11,1),(13,1),(43,1)}
        25:{1,3,6}:{(11,1),(12,1),(15,1),(43,1),(44,1),(46,1)}
        26:{2,3,7}:{(12,1),(17,1),(44,1)}
        27:{2,3}:{(13,1),(41,1)}
        28:{3,5}:{(14,1),(45,1),(46,1)}
        29:{2,4,6}:{(14,1),(15,1),(43,1),(46,1),(47,1),(48,1),(87,1)}
        30:{1,5,6}:{(15,1),(16,1),(47,1),(49,1),(117,1),(141,1)}
        31:{1,4,7}:{(15,1),(17,1),(44,1),(48,1),(49,1)}
        32:{2,5,7}:{(16,1),(17,1),(19,1),(49,1),(50,1)}
        33:{4,5,7}:{(18,1),(19,1),(51,1)}
        34:{3,6,7}:{(19,1),(50,1),(51,1),(149,1)}
        35:{2,4,5}:{(20,1),(21,1),(52,1),(53,1),(62,1),(102,1)}
        36:{3,4,6}:{(20,1),(53,1),(54,1),(55,1)}
        37:{1,3,5}:{(21,1),(22,1),(52,1),(56,1),(57,1),(90,1)}
        38:{2,3,6}:{(21,1),(53,1),(57,1),(58,1)}
        39:{2,4}:{(22,1),(56,1),(59,1)}
        40:{1,2,5}:{(23,1),(24,1),(56,1),(60,1),(61,1)}
        41:{1,3}:{(23,1),(27,1),(59,1)}
        42:{2,3,5}:{(24,1),(27,1),(28,1),(60,1),(62,1),(63,1),(102,1)}
        43:{2,6}:{(24,1),(25,1),(64,1)}
        44:{1,3,7}:{(25,1),(26,1),(31,1),(64,1),(67,1)}
        45:{3,4}:{(28,1),(62,1)}
        46:{3,6}:{(28,1),(29,1),(67,1)}
        47:{2,5,6}:{(29,1),(30,1),(66,1),(68,1),(102,1),(132,1)}
        48:{2,4,7}:{(29,1),(31,1),(64,1),(67,1),(68,1),(106,1)}
        49:{1,5,7}:{(30,1),(31,1),(32,1),(68,1),(69,1)}
        50:{2,6,7}:{(32,1),(34,1),(69,1),(147,1)}
        51:{4,6,7}:{(33,1),(34,1),(70,1),(151,1)}
        52:{1,4,5}:{(35,1),(37,1),(71,1),(72,1),(80,1),(117,1)}
        53:{2,4,6}:{(35,1),(36,1),(38,1),(72,1),(73,1),(74,1)}
        54:{3,5,6}:{(36,1),(73,1),(75,1),(76,1),(85,1),(121,1)}
        55:{3,4,7}:{(36,1),(74,1),(76,1)}
        56:{2,5}:{(37,1),(39,1),(78,1)}
        57:{1,3,6}:{(37,1),(38,1),(72,1),(78,1),(79,1),(109,1)}
        58:{2,3,7}:{(38,1),(74,1),(79,1)}
        59:{2,3}:{(39,1),(41,1)}
        60:{1,3,5}:{(40,1),(41,1),(42,1),(77,1),(80,1),(81,1),(117,1)}
        61:{1,2,6}:{(40,1),(43,1),(78,1),(81,1),(82,1)}
        62:{2,4}:{(42,1),(45,1),(80,1)}
        63:{2,3,6}:{(42,1),(43,1),(46,1),(81,1),(83,1),(84,1)}
        64:{2,7}:{(43,1),(44,1)}
        65:{3,4,6}:{(45,1),(46,1),(83,1),(85,1),(86,1),(87,1),(121,1)}
        66:{3,5,6}:{(46,1),(47,1),(85,1),(87,1),(88,1),(121,1),(142,1)}
        67:{3,7}:{(46,1),(48,1)}
        68:{2,5,7}:{(47,1),(48,1),(49,1),(88,1),(89,1)}
        69:{1,6,7}:{(49,1),(50,1),(89,1),(141,1)}
        70:{5,6,7}:{(51,1),(153,1)}
        71:{2,4,5}:{(52,1),(56,1),(90,1),(91,1),(97,1),(129,1),(143,1)}
        72:{1,4,6}:{(52,1),(53,1),(57,1),(91,1),(92,1),(93,1)}
        73:{2,5,6}:{(53,1),(54,1),(92,1),(94,1),(102,1),(132,1)}
        74:{2,4,7}:{(53,1),(55,1),(58,1),(93,1),(94,1)}
        75:{4,5,6}:{(54,1),(95,1),(104,1),(133,1)}
        76:{3,5,7}:{(54,1),(55,1),(94,1),(95,1),(96,1)}
        77:{2,3,5}:{(56,1),(59,1),(60,1),(90,1),(97,1),(98,1),(129,1)}
        78:{2,6}:{(56,1),(57,1),(99,1)}
        79:{1,3,7}:{(57,1),(58,1),(93,1),(99,1),(125,1)}
        80:{1,4}:{(60,1),(62,1),(97,1)}
        81:{1,3,6}:{(60,1),(61,1),(63,1),(98,1),(100,1),(101,1)}
        82:{1,2,7}:{(61,1),(64,1),(99,1),(101,1)}
        83:{2,4,6}:{(62,1),(63,1),(65,1),(100,1),(102,1),(103,1),(132,1)}
        84:{2,3,7}:{(63,1),(64,1),(67,1),(101,1),(103,1)}
        85:{3,5}:{(65,1),(102,1),(104,1)}
        86:{3,4,7}:{(65,1),(67,1),(103,1),(105,1),(106,1)}
        87:{4,6}:{(66,1),(104,1),(106,1)}
        88:{3,5,7}:{(66,1),(67,1),(68,1),(106,1),(107,1),(134,1)}
        89:{2,6,7}:{(68,1),(69,1),(107,1),(132,1)}
        90:{3,5}:{(71,1),(108,1),(109,1)}
        91:{2,4,6}:{(71,1),(72,1),(78,1),(109,1),(110,1),(111,1),(137,1)}
        92:{1,5,6}:{(72,1),(73,1),(110,1),(112,1),(117,1),(141,1)}
        93:{1,4,7}:{(72,1),(74,1),(79,1),(111,1),(112,1)}
        94:{2,5,7}:{(73,1),(74,1),(76,1),(112,1),(113,1)}
        95:{4,5,7}:{(75,1),(76,1),(114,1)}
        96:{3,6,7}:{(76,1),(113,1),(114,1),(121,1)}
        97:{2,4}:{(77,1),(80,1),(108,1)}
        98:{2,3,6}:{(77,1),(78,1),(81,1),(109,1),(115,1),(116,1)}
        99:{2,7}:{(78,1),(79,1)}
       100:{1,4,6}:{(80,1),(81,1),(83,1),(115,1),(117,1),(118,1),(141,1)}
       101:{1,3,7}:{(81,1),(82,1),(84,1),(116,1),(118,1)}
       102:{2,5}:{(83,1),(85,1),(117,1)}
       103:{2,4,7}:{(83,1),(84,1),(86,1),(118,1),(119,1)}
       104:{4,5}:{(85,1),(87,1)}
       105:{3,5,7}:{(85,1),(86,1),(119,1),(120,1),(121,1)}
       106:{4,7}:{(87,1),(88,1)}
       107:{3,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       108:{3,4}:{(90,1),(97,1)}
       109:{3,6}:{(90,1),(91,1),(125,1)}
       110:{2,5,6}:{(91,1),(92,1),(124,1),(126,1),(129,1),(147,1)}
       111:{2,4,7}:{(91,1),(93,1),(99,1),(125,1),(126,1),(145,1)}
       112:{1,5,7}:{(92,1),(93,1),(94,1),(126,1),(127,1)}
       113:{2,6,7}:{(94,1),(96,1),(127,1),(132,1)}
       114:{4,6,7}:{(95,1),(96,1),(128,1),(133,1)}
       115:{2,4,6}:{(97,1),(98,1),(100,1),(123,1),(129,1),(130,1),(147,1)}
       116:{2,3,7}:{(98,1),(99,1),(101,1),(125,1),(130,1)}
       117:{1,5}:{(100,1),(102,1),(129,1)}
       118:{1,4,7}:{(100,1),(101,1),(103,1),(130,1),(131,1)}
       119:{2,5,7}:{(102,1),(103,1),(105,1),(131,1),(132,1)}
       120:{4,5,7}:{(104,1),(105,1),(106,1),(133,1),(134,1)}
       121:{3,6}:{(105,1),(132,1),(133,1)}
       122:{4,6,7}:{(106,1),(107,1),(133,1),(134,1)}
       123:{3,4,6}:{(108,1),(109,1),(115,1),(135,1),(136,1),(137,1),(149,1)}
       124:{3,5,6}:{(109,1),(110,1),(135,1),(137,1),(138,1),(149,1),(153,1)}
       125:{3,7}:{(109,1),(111,1)}
       126:{2,5,7}:{(110,1),(111,1),(112,1),(138,1),(139,1)}
       127:{1,6,7}:{(112,1),(113,1),(139,1),(141,1)}
       128:{5,6,7}:{(114,1),(142,1)}
       129:{2,5}:{(115,1),(117,1),(135,1)}
       130:{2,4,7}:{(115,1),(116,1),(118,1),(136,1),(140,1)}
       131:{1,5,7}:{(117,1),(118,1),(119,1),(140,1),(141,1)}
       132:{2,6}:{(119,1),(121,1),(141,1)}
       133:{4,6}:{(120,1),(121,1),(142,1)}
       134:{5,7}:{(122,1),(142,1)}
       135:{3,5}:{(123,1),(129,1),(143,1)}
       136:{3,4,7}:{(123,1),(125,1),(130,1),(144,1),(145,1)}
       137:{4,6}:{(124,1),(143,1),(145,1)}
       138:{3,5,7}:{(124,1),(125,1),(126,1),(145,1),(146,1),(152,1)}
       139:{2,6,7}:{(126,1),(127,1),(146,1),(147,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(144,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{4,5}:{(135,1),(137,1)}
       144:{3,5,7}:{(135,1),(136,1),(140,1),(148,1),(149,1)}
       145:{4,7}:{(137,1),(138,1)}
       146:{3,6,7}:{(138,1),(139,1),(149,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(149,1)}
       148:{4,5,7}:{(143,1),(144,1),(145,1),(151,1),(152,1)}
       149:{3,6}:{(144,1),(147,1),(151,1)}
       150:{4,6,7}:{(145,1),(146,1),(151,1),(152,1)}
       151:{4,6}:{(148,1),(149,1),(153,1)}
       152:{5,7}:{(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 797 :   0:{3,4,5,6}:{(1,1),(2,1),(89,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(5,1),(6,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(73,1),(122,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(10,1)}
         4:{4,5,6,7}:{(11,1),(123,1)}
         5:{3,4,6,7}:{(1,1),(11,1),(12,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(91,1),(116,1)}
         7:{1,4,5,6}:{(2,1),(10,1),(13,1),(14,1),(58,1),(118,1)}
         8:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(67,1),(73,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(16,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(3,1),(7,1),(17,1),(19,1),(20,1),(24,1)}
        11:{3,5,6,7}:{(4,1),(5,1),(21,1),(120,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1)}
        13:{1,4,5,7}:{(6,1),(7,1),(19,1),(22,1),(23,1),(75,1),(108,1)}
        14:{2,4,5,6}:{(7,1),(20,1),(23,1),(24,1),(44,1),(110,1),(111,1)}
        15:{2,3,4,5}:{(8,1),(25,1),(82,1),(92,1)}
        16:{2,3,4,7}:{(8,1),(9,1),(26,1),(84,1),(91,1)}
        17:{1,3,4,6}:{(8,1),(10,1),(25,1),(26,1),(27,1),(35,1),(52,1),(58,1)}
        18:{2,3,6,7}:{(9,1),(12,1),(29,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(13,1),(26,1),(29,1),(30,1),(34,1)}
        20:{2,5,6}:{(10,1),(27,1),(30,1)}
        21:{2,5,6,7}:{(11,1),(12,1),(32,1),(116,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(29,1),(32,1),(33,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(30,1),(33,1),(34,1),(60,1),(95,1),(97,1)}
        24:{3,5,6}:{(14,1),(34,1),(35,1)}
        25:{1,3,4,5}:{(15,1),(17,1),(36,1),(48,1),(65,1),(76,1)}
        26:{1,3,4,7}:{(16,1),(17,1),(19,1),(38,1),(47,1),(68,1),(75,1)}
        27:{2,4,6}:{(17,1),(20,1),(36,1),(38,1),(39,1)}
        28:{1,2,5,6}:{(20,1),(37,1),(40,1),(41,1),(101,1),(119,1)}
        29:{1,3,6,7}:{(18,1),(19,1),(22,1),(42,1),(46,1)}
        30:{2,5,7}:{(19,1),(20,1),(38,1),(42,1)}
        31:{2,3,5,6}:{(20,1),(24,1),(39,1),(41,1),(43,1),(44,1),(71,1),(103,1),(110,1)}
        32:{1,5,6,7}:{(21,1),(22,1),(45,1),(108,1)}
        33:{2,4,6,7}:{(22,1),(23,1),(42,1),(45,1),(46,1),(79,1)}
        34:{3,5,7}:{(23,1),(24,1),(46,1),(47,1)}
        35:{3,4,6}:{(24,1),(44,1),(47,1),(48,1)}
        36:{2,4,5}:{(25,1),(27,1),(50,1)}
        37:{1,2,4,6}:{(27,1),(28,1),(49,1),(51,1),(52,1),(58,1),(85,1)}
        38:{2,4,7}:{(26,1),(27,1),(30,1),(53,1)}
        39:{2,3,6}:{(27,1),(50,1),(52,1),(53,1)}
        40:{1,2,5,7}:{(28,1),(30,1),(51,1),(56,1),(57,1),(112,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(52,1),(55,1),(57,1),(58,1),(87,1),(113,1),(118,1)}
        42:{2,6,7}:{(29,1),(30,1)}
        43:{2,3,5,7}:{(30,1),(31,1),(34,1),(53,1),(57,1),(59,1),(60,1),(95,1)}
        44:{2,4,6}:{(31,1),(35,1),(58,1),(60,1),(61,1)}
        45:{2,5,6,7}:{(32,1),(33,1),(62,1),(95,1)}
        46:{3,6,7}:{(33,1),(34,1)}
        47:{3,4,7}:{(34,1),(35,1),(60,1)}
        48:{3,4,5}:{(35,1),(61,1)}
        49:{1,2,4,5}:{(36,1),(37,1),(65,1),(76,1),(99,1),(101,1)}
        50:{2,3,5}:{(36,1),(39,1),(65,1),(66,1)}
        51:{1,2,4,7}:{(37,1),(38,1),(40,1),(68,1),(75,1),(100,1)}
        52:{1,3,6}:{(37,1),(39,1),(65,1),(67,1),(68,1)}
        53:{2,3,7}:{(38,1),(39,1),(68,1)}
        54:{2,3,4,6}:{(39,1),(44,1),(66,1),(69,1),(70,1),(71,1),(103,1)}
        55:{2,3,5,6}:{(41,1),(67,1),(72,1),(73,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        56:{1,2,6,7}:{(40,1),(42,1),(74,1),(119,1)}
        57:{1,3,5,7}:{(40,1),(41,1),(43,1),(68,1),(72,1),(74,1),(75,1),(108,1)}
        58:{1,4,6}:{(41,1),(44,1),(73,1),(75,1),(76,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(46,1),(74,1),(77,1),(103,1)}
        60:{2,4,7}:{(43,1),(44,1),(47,1),(75,1)}
        61:{2,4,5}:{(44,1),(48,1),(71,1),(76,1)}
        62:{3,5,6,7}:{(45,1),(46,1),(79,1),(80,1)}
        63:{3,4,6,7}:{(46,1),(47,1),(77,1),(79,1),(80,1),(81,1)}
        64:{3,4,5,7}:{(47,1),(48,1),(78,1),(80,1),(81,1)}
        65:{1,3,5}:{(49,1),(50,1),(52,1),(82,1),(83,1)}
        66:{2,3,4}:{(50,1),(83,1)}
        67:{2,3,6}:{(52,1),(82,1),(84,1),(85,1)}
        68:{1,3,7}:{(51,1),(52,1),(53,1),(84,1)}
        69:{1,3,4,6}:{(52,1),(54,1),(58,1),(83,1),(85,1),(86,1),(87,1),(89,1),(113,1)}
        70:{2,3,4,7}:{(53,1),(54,1),(60,1),(86,1),(88,1)}
        71:{2,3,5}:{(54,1),(61,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(57,1),(84,1),(90,1),(91,1),(112,1),(115,1),(116,1)}
        73:{2,4,6}:{(55,1),(58,1),(89,1),(91,1),(92,1)}
        74:{1,3,6,7}:{(56,1),(57,1),(59,1),(90,1),(93,1),(113,1)}
        75:{1,4,7}:{(57,1),(58,1),(60,1),(91,1)}
        76:{1,4,5}:{(58,1),(61,1),(87,1),(92,1)}
        77:{2,4,6,7}:{(59,1),(60,1),(63,1),(93,1),(95,1),(96,1)}
        78:{2,4,5,7}:{(60,1),(61,1),(64,1),(88,1),(94,1),(95,1),(96,1)}
        79:{4,6,7}:{(62,1),(97,1)}
        80:{3,5,7}:{(63,1),(95,1),(97,1),(98,1)}
        81:{3,4,6}:{(64,1),(96,1),(98,1)}
        82:{2,3,5}:{(65,1),(67,1),(99,1),(101,1)}
        83:{1,3,4}:{(65,1),(66,1),(99,1)}
        84:{2,3,7}:{(67,1),(68,1),(100,1)}
        85:{2,4,6}:{(67,1),(69,1),(99,1),(100,1),(101,1),(119,1)}
        86:{1,3,4,7}:{(68,1),(69,1),(70,1),(75,1),(100,1),(102,1),(104,1)}
        87:{1,3,5}:{(69,1),(71,1),(76,1),(101,1),(105,1)}
        88:{2,3,5,7}:{(70,1),(71,1),(78,1),(102,1),(103,1)}
        89:{3,4,6}:{(73,1),(104,1),(105,1),(121,1)}
        90:{2,3,6,7}:{(72,1),(74,1),(106,1),(119,1),(121,1)}
        91:{2,4,7}:{(72,1),(73,1),(75,1),(104,1)}
        92:{2,4,5}:{(73,1),(76,1),(101,1),(105,1)}
        93:{1,4,6,7}:{(74,1),(75,1),(77,1),(106,1),(108,1),(109,1)}
        94:{1,4,5,7}:{(75,1),(76,1),(78,1),(102,1),(107,1),(108,1),(109,1)}
        95:{2,5,7}:{(77,1),(80,1),(108,1),(110,1)}
        96:{2,4,6}:{(78,1),(81,1),(103,1),(109,1),(110,1)}
        97:{4,5,7}:{(79,1),(80,1),(111,1)}
        98:{3,5,6}:{(80,1),(81,1),(110,1),(111,1)}
        99:{2,4}:{(82,1),(83,1)}
       100:{2,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       101:{2,5}:{(85,1),(87,1)}
       102:{1,3,5,7}:{(86,1),(87,1),(88,1),(94,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(88,1),(96,1),(113,1)}
       104:{3,4,7}:{(89,1),(91,1),(115,1)}
       105:{3,5}:{(89,1),(92,1)}
       106:{2,4,6,7}:{(90,1),(91,1),(93,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(93,1),(95,1),(116,1),(118,1)}
       109:{1,4,6}:{(94,1),(96,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(95,1),(96,1),(98,1),(118,1)}
       111:{4,5,6}:{(97,1),(98,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 798 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(100,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(104,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(84,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(89,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(15,1),(16,1),(96,1),(100,1)}
        10:{2,3,6,7}:{(6,1),(15,1),(17,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(16,1),(17,1),(18,1)}
        12:{2,5,6,7}:{(7,1),(18,1),(19,1),(68,1)}
        13:{2,3,5,6}:{(8,1),(15,1),(20,1),(21,1)}
        14:{1,4,5,6}:{(8,1),(16,1),(21,1),(22,1),(73,1),(101,1)}
        15:{2,3,5,7}:{(9,1),(10,1),(13,1),(24,1),(25,1)}
        16:{1,4,5,7}:{(9,1),(11,1),(14,1),(25,1),(26,1),(80,1),(84,1)}
        17:{1,3,6,7}:{(10,1),(11,1),(25,1),(27,1),(28,1)}
        18:{2,4,6,7}:{(11,1),(12,1),(26,1),(27,1),(28,1),(29,1)}
        19:{3,5,6,7}:{(12,1),(28,1),(29,1),(52,1)}
        20:{2,3,4,6}:{(13,1),(23,1),(24,1),(30,1),(86,1),(89,1)}
        21:{1,3,5,6}:{(13,1),(14,1),(25,1),(30,1),(31,1),(32,1)}
        22:{2,4,5,6}:{(14,1),(26,1),(31,1),(32,1),(53,1),(57,1),(85,1)}
        23:{2,3,4,5}:{(20,1),(33,1),(91,1),(105,1)}
        24:{2,3,4,7}:{(15,1),(20,1),(34,1),(93,1),(96,1)}
        25:{1,3,5,7}:{(15,1),(16,1),(17,1),(21,1),(34,1),(35,1),(36,1)}
        26:{2,4,5,7}:{(16,1),(18,1),(22,1),(35,1),(36,1),(40,1),(64,1),(68,1)}
        27:{2,6,7}:{(17,1),(35,1)}
        28:{3,6,7}:{(18,1),(36,1)}
        29:{4,6,7}:{(19,1),(40,1)}
        30:{1,3,4,6}:{(20,1),(21,1),(33,1),(34,1),(41,1),(44,1),(70,1),(73,1)}
        31:{2,5,6}:{(21,1),(35,1),(41,1)}
        32:{3,5,6}:{(22,1),(36,1),(44,1)}
        33:{1,3,4,5}:{(23,1),(30,1),(45,1),(58,1),(75,1),(90,1)}
        34:{1,3,4,7}:{(24,1),(25,1),(30,1),(46,1),(49,1),(77,1),(80,1)}
        35:{2,5,7}:{(25,1),(27,1),(31,1),(46,1)}
        36:{3,5,7}:{(26,1),(28,1),(32,1),(49,1)}
        37:{1,2,6,7}:{(27,1),(47,1),(50,1),(123,1)}
        38:{2,3,6,7}:{(27,1),(28,1),(48,1),(50,1),(51,1),(109,1)}
        39:{3,4,6,7}:{(28,1),(29,1),(49,1),(51,1),(52,1),(82,1)}
        40:{4,5,7}:{(29,1),(52,1),(53,1)}
        41:{2,4,6}:{(30,1),(31,1),(45,1),(46,1),(55,1)}
        42:{1,2,5,6}:{(31,1),(47,1),(54,1),(56,1),(115,1),(123,1)}
        43:{2,3,5,6}:{(31,1),(32,1),(48,1),(55,1),(56,1),(57,1),(85,1),(88,1),(109,1)}
        44:{3,4,6}:{(32,1),(49,1),(57,1),(58,1)}
        45:{2,4,5}:{(33,1),(41,1),(60,1)}
        46:{2,4,7}:{(34,1),(35,1),(41,1),(62,1)}
        47:{1,2,5,7}:{(35,1),(37,1),(42,1),(61,1),(63,1),(117,1)}
        48:{2,3,5,7}:{(35,1),(36,1),(38,1),(43,1),(62,1),(63,1),(64,1),(68,1)}
        49:{3,4,7}:{(36,1),(44,1),(64,1)}
        50:{1,3,6,7}:{(37,1),(38,1),(63,1),(66,1),(67,1),(118,1)}
        51:{2,4,6,7}:{(38,1),(39,1),(64,1),(67,1),(68,1),(98,1)}
        52:{3,5,7}:{(39,1),(40,1),(68,1),(69,1)}
        53:{4,5,6}:{(40,1),(69,1)}
        54:{1,2,4,6}:{(41,1),(42,1),(59,1),(61,1),(70,1),(73,1),(102,1)}
        55:{2,3,6}:{(41,1),(60,1),(62,1),(70,1)}
        56:{1,3,5,6}:{(42,1),(43,1),(63,1),(70,1),(72,1),(73,1),(101,1),(103,1),(118,1)}
        57:{2,4,6}:{(43,1),(44,1),(64,1),(73,1),(74,1)}
        58:{3,4,5}:{(44,1),(74,1)}
        59:{1,2,4,5}:{(45,1),(54,1),(75,1),(90,1),(106,1),(115,1)}
        60:{2,3,5}:{(45,1),(55,1),(75,1),(76,1)}
        61:{1,2,4,7}:{(46,1),(47,1),(54,1),(77,1),(80,1),(107,1)}
        62:{2,3,7}:{(46,1),(55,1),(77,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(56,1),(77,1),(79,1),(80,1),(84,1)}
        64:{2,4,7}:{(48,1),(49,1),(57,1),(80,1)}
        65:{3,4,5,7}:{(49,1),(52,1),(58,1),(81,1),(82,1)}
        66:{2,3,6,7}:{(50,1),(79,1),(83,1),(123,1),(124,1)}
        67:{1,4,6,7}:{(50,1),(51,1),(80,1),(83,1),(84,1),(112,1)}
        68:{2,5,7}:{(51,1),(52,1),(84,1),(85,1)}
        69:{3,5,6}:{(52,1),(53,1),(82,1),(85,1)}
        70:{1,3,6}:{(54,1),(55,1),(75,1),(77,1),(86,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(76,1),(78,1),(87,1),(88,1),(109,1)}
        72:{2,3,5,6}:{(56,1),(79,1),(86,1),(89,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        73:{1,4,6}:{(56,1),(57,1),(80,1),(89,1),(90,1)}
        74:{2,4,5}:{(57,1),(58,1),(88,1),(90,1)}
        75:{1,3,5}:{(59,1),(60,1),(70,1),(91,1),(92,1)}
        76:{2,3,4}:{(60,1),(92,1)}
        77:{1,3,7}:{(61,1),(62,1),(70,1),(93,1)}
        78:{2,3,4,7}:{(62,1),(64,1),(71,1),(94,1),(95,1)}
        79:{2,3,5,7}:{(63,1),(66,1),(72,1),(93,1),(96,1),(100,1),(117,1),(119,1)}
        80:{1,4,7}:{(63,1),(64,1),(73,1),(96,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(68,1),(74,1),(95,1),(97,1),(98,1)}
        82:{3,4,6}:{(65,1),(69,1),(98,1)}
        83:{2,4,6,7}:{(66,1),(67,1),(96,1),(99,1),(100,1),(120,1)}
        84:{1,5,7}:{(67,1),(68,1),(100,1),(101,1)}
        85:{2,5,6}:{(68,1),(69,1),(98,1),(101,1)}
        86:{2,3,6}:{(70,1),(91,1),(93,1),(102,1)}
        87:{1,3,4,6}:{(70,1),(71,1),(73,1),(92,1),(94,1),(102,1),(103,1),(104,1),(118,1)}
        88:{2,3,5}:{(71,1),(74,1),(103,1)}
        89:{2,4,6}:{(72,1),(73,1),(96,1),(104,1),(105,1)}
        90:{1,4,5}:{(73,1),(74,1),(103,1),(105,1)}
        91:{2,3,5}:{(75,1),(86,1),(106,1),(115,1)}
        92:{1,3,4}:{(75,1),(76,1),(106,1)}
        93:{2,3,7}:{(77,1),(86,1),(107,1)}
        94:{1,3,4,7}:{(77,1),(78,1),(80,1),(87,1),(107,1),(108,1),(110,1)}
        95:{2,3,5,7}:{(78,1),(81,1),(88,1),(108,1),(109,1)}
        96:{2,4,7}:{(79,1),(80,1),(89,1),(110,1)}
        97:{1,4,5,7}:{(80,1),(81,1),(84,1),(90,1),(108,1),(111,1),(112,1)}
        98:{2,4,6}:{(81,1),(82,1),(85,1),(109,1),(112,1)}
        99:{3,4,6,7}:{(83,1),(110,1),(113,1),(124,1),(125,1)}
       100:{2,5,7}:{(83,1),(84,1),(113,1),(114,1)}
       101:{1,5,6}:{(84,1),(85,1),(112,1),(114,1)}
       102:{2,4,6}:{(86,1),(87,1),(106,1),(107,1),(115,1),(123,1)}
       103:{1,3,5}:{(87,1),(88,1),(90,1),(115,1),(116,1)}
       104:{3,4,6}:{(89,1),(110,1),(116,1),(124,1)}
       105:{2,4,5}:{(89,1),(90,1),(115,1),(116,1)}
       106:{2,4}:{(91,1),(92,1)}
       107:{2,4,7}:{(93,1),(94,1),(102,1),(117,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(97,1),(103,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(95,1),(98,1),(118,1)}
       110:{3,4,7}:{(96,1),(104,1),(119,1)}
       111:{2,4,5,7}:{(96,1),(97,1),(100,1),(105,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(97,1),(98,1),(101,1),(118,1),(120,1)}
       113:{3,5,7}:{(99,1),(100,1),(121,1),(122,1)}
       114:{2,5,6}:{(100,1),(101,1),(120,1),(122,1)}
       115:{2,5}:{(102,1),(103,1)}
       116:{3,5}:{(104,1),(105,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

 799 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 800 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 801 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(92,1)}
         1:{2,3,6}:{(3,1),(6,1),(7,1),(8,1),(65,1),(92,1)}
         2:{3,4,6}:{(6,1),(9,1),(10,1),(32,1),(33,1),(36,1),(65,1)}
         3:{1,3,6}:{(0,1),(1,1),(11,1),(12,1),(13,1),(14,1),(99,1)}
         4:{1,2,5}:{(0,1),(13,1),(15,1),(80,1),(82,1)}
         5:{1,2,7}:{(0,1),(14,1),(100,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1),(18,1),(49,1)}
         7:{2,3,5}:{(1,1),(13,1),(16,1),(18,1),(45,1),(48,1),(80,1)}
         8:{2,3,7}:{(1,1),(14,1),(17,1),(83,1),(100,1)}
         9:{3,5}:{(2,1),(16,1),(20,1)}
        10:{3,4,7}:{(2,1),(17,1),(21,1),(50,1),(83,1)}
        11:{2,3,6}:{(3,1),(22,1),(23,1),(24,1),(89,1),(92,1)}
        12:{1,4,6}:{(3,1),(6,1),(22,1),(25,1),(26,1),(27,1),(62,1)}
        13:{1,3,5}:{(3,1),(4,1),(7,1),(23,1),(25,1),(27,1),(28,1),(64,1),(94,1)}
        14:{1,3,7}:{(3,1),(5,1),(8,1),(24,1),(26,1),(103,1)}
        15:{1,2,4}:{(4,1),(27,1),(28,1),(63,1)}
        16:{2,5}:{(6,1),(9,1),(25,1)}
        17:{2,4,7}:{(6,1),(8,1),(10,1),(26,1),(31,1)}
        18:{2,4}:{(7,1),(27,1),(32,1)}
        19:{3,5,6}:{(9,1),(29,1),(33,1),(34,1),(36,1),(65,1),(69,1)}
        20:{4,5}:{(9,1),(33,1)}
        21:{3,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1)}
        22:{2,4,6}:{(11,1),(12,1),(37,1),(38,1),(39,1),(40,1),(76,1)}
        23:{2,3,5}:{(11,1),(13,1),(38,1),(40,1),(45,1),(75,1),(80,1)}
        24:{2,3,7}:{(11,1),(14,1),(39,1),(98,1),(100,1)}
        25:{1,5}:{(12,1),(16,1),(38,1)}
        26:{1,4,7}:{(12,1),(14,1),(17,1),(39,1),(43,1)}
        27:{1,4}:{(13,1),(18,1),(40,1)}
        28:{1,3}:{(15,1),(45,1)}
        29:{2,5,6}:{(16,1),(19,1),(41,1),(46,1),(47,1),(49,1)}
        30:{2,4,5}:{(16,1),(18,1),(20,1),(42,1),(46,1),(48,1),(80,1)}
        31:{2,5,7}:{(16,1),(17,1),(21,1),(43,1),(49,1)}
        32:{3,4}:{(18,1),(48,1)}
        33:{4,6}:{(19,1),(20,1),(50,1)}
        34:{3,5,7}:{(19,1),(47,1),(50,1),(51,1),(83,1),(84,1)}
        35:{4,5,7}:{(20,1),(21,1),(50,1),(52,1),(84,1)}
        36:{3,6}:{(21,1),(49,1),(52,1)}
        37:{3,4,6}:{(22,1),(53,1),(54,1),(58,1),(85,1),(88,1),(89,1)}
        38:{2,5}:{(22,1),(25,1),(53,1)}
        39:{2,4,7}:{(22,1),(24,1),(26,1),(54,1),(57,1)}
        40:{2,4}:{(23,1),(27,1),(58,1)}
        41:{1,5,6}:{(25,1),(29,1),(55,1),(59,1),(60,1),(62,1)}
        42:{1,4,5}:{(25,1),(27,1),(30,1),(56,1),(59,1),(61,1),(94,1)}
        43:{1,5,7}:{(25,1),(26,1),(31,1),(57,1),(62,1)}
        44:{1,3,4}:{(27,1),(28,1),(32,1),(58,1),(61,1),(63,1)}
        45:{2,3}:{(28,1),(63,1),(64,1)}
        46:{2,4,6}:{(29,1),(30,1),(33,1),(59,1),(65,1),(66,1),(92,1)}
        47:{2,5,7}:{(29,1),(34,1),(60,1),(66,1),(67,1)}
        48:{3,5}:{(30,1),(32,1),(65,1)}
        49:{2,6}:{(31,1),(36,1),(62,1)}
        50:{4,7}:{(33,1),(34,1)}
        51:{3,6,7}:{(34,1),(36,1),(67,1),(68,1)}
        52:{4,6}:{(35,1),(36,1),(69,1)}
        53:{3,5}:{(37,1),(38,1),(71,1)}
        54:{3,4,7}:{(37,1),(39,1),(72,1),(95,1),(98,1)}
        55:{2,5,6}:{(38,1),(41,1),(70,1),(73,1),(74,1),(76,1)}
        56:{2,4,5}:{(38,1),(40,1),(42,1),(71,1),(73,1),(75,1),(80,1)}
        57:{2,5,7}:{(38,1),(39,1),(43,1),(72,1),(76,1)}
        58:{3,4}:{(40,1),(75,1)}
        59:{1,4,6}:{(41,1),(42,1),(46,1),(73,1),(77,1),(78,1),(99,1)}
        60:{1,5,7}:{(41,1),(47,1),(74,1),(78,1),(79,1)}
        61:{1,3,5}:{(42,1),(44,1),(48,1),(75,1),(77,1),(80,1)}
        62:{1,6}:{(43,1),(49,1),(76,1)}
        63:{2,4}:{(44,1),(45,1),(80,1),(81,1)}
        64:{1,3}:{(45,1),(81,1),(82,1)}
        65:{3,6}:{(46,1),(48,1),(83,1)}
        66:{2,4,7}:{(46,1),(47,1),(50,1),(78,1),(83,1),(100,1)}
        67:{2,6,7}:{(47,1),(49,1),(51,1),(79,1)}
        68:{4,6,7}:{(50,1),(51,1),(52,1),(84,1)}
        69:{5,6}:{(52,1),(84,1)}
        70:{3,5,6}:{(53,1),(55,1),(85,1),(86,1),(88,1),(89,1),(102,1)}
        71:{4,5}:{(53,1),(85,1)}
        72:{3,5,7}:{(53,1),(54,1),(57,1),(87,1),(88,1)}
        73:{2,4,6}:{(55,1),(56,1),(59,1),(85,1),(89,1),(90,1),(92,1)}
        74:{2,5,7}:{(55,1),(60,1),(86,1),(90,1),(91,1)}
        75:{3,5}:{(56,1),(58,1),(89,1)}
        76:{2,6}:{(57,1),(62,1),(88,1)}
        77:{1,3,6}:{(59,1),(61,1),(65,1),(89,1),(92,1),(93,1)}
        78:{1,4,7}:{(59,1),(60,1),(66,1),(90,1),(93,1),(103,1)}
        79:{1,6,7}:{(60,1),(62,1),(67,1),(91,1)}
        80:{2,5}:{(61,1),(63,1),(92,1),(94,1)}
        81:{1,4}:{(63,1),(64,1),(94,1)}
        82:{1,2}:{(64,1)}
        83:{3,7}:{(65,1),(66,1)}
        84:{5,7}:{(68,1),(69,1)}
        85:{4,6}:{(70,1),(71,1),(95,1)}
        86:{3,5,7}:{(70,1),(74,1),(95,1),(96,1),(98,1),(104,1)}
        87:{4,5,7}:{(71,1),(72,1),(95,1),(97,1),(104,1)}
        88:{3,6}:{(72,1),(76,1),(97,1)}
        89:{3,6}:{(73,1),(75,1),(98,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(95,1),(98,1),(100,1)}
        91:{2,6,7}:{(74,1),(76,1),(79,1),(96,1)}
        92:{2,6}:{(77,1),(80,1),(99,1),(100,1)}
        93:{1,3,7}:{(77,1),(78,1),(83,1),(98,1),(100,1)}
        94:{1,5}:{(80,1),(81,1),(99,1)}
        95:{4,7}:{(85,1),(86,1)}
        96:{3,6,7}:{(86,1),(88,1),(91,1),(101,1)}
        97:{4,6}:{(87,1),(88,1),(102,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(94,1),(103,1)}
       100:{2,7}:{(92,1),(93,1),(103,1)}
       101:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       102:{5,6}:{(97,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 802 :   0:{1,2,7}:{(4,1),(5,1),(102,1)}
         1:{2,3,7}:{(4,1),(6,1),(7,1),(89,1),(102,1)}
         2:{3,4,7}:{(6,1),(8,1),(9,1),(62,1),(89,1)}
         3:{4,5,7}:{(8,1),(10,1),(33,1),(34,1),(62,1)}
         4:{1,3,7}:{(0,1),(1,1),(11,1),(12,1),(13,1),(104,1)}
         5:{1,2,6}:{(0,1),(13,1),(14,1),(97,1)}
         6:{2,4,7}:{(1,1),(2,1),(12,1),(15,1),(16,1)}
         7:{2,3,6}:{(1,1),(13,1),(16,1),(17,1),(76,1),(97,1)}
         8:{3,5,7}:{(2,1),(3,1),(15,1),(18,1),(19,1)}
         9:{3,4,6}:{(2,1),(16,1),(18,1),(19,1),(46,1),(48,1),(76,1)}
        10:{4,6}:{(3,1),(18,1),(21,1)}
        11:{2,3,7}:{(4,1),(22,1),(23,1),(101,1),(102,1)}
        12:{1,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1)}
        13:{1,3,6}:{(4,1),(5,1),(7,1),(23,1),(25,1),(26,1),(103,1)}
        14:{1,2,5}:{(5,1),(26,1),(27,1),(86,1),(88,1)}
        15:{2,5,7}:{(6,1),(8,1),(24,1),(28,1),(29,1)}
        16:{2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(26,1),(29,1),(30,1),(58,1),(61,1),(86,1)}
        18:{3,6}:{(8,1),(10,1),(28,1)}
        19:{3,5}:{(9,1),(29,1),(33,1)}
        20:{4,6,7}:{(10,1),(31,1),(34,1),(62,1)}
        21:{5,6}:{(10,1),(34,1)}
        22:{2,4,7}:{(11,1),(12,1),(35,1),(36,1),(37,1)}
        23:{2,3,6}:{(11,1),(13,1),(37,1),(38,1),(95,1),(97,1)}
        24:{1,5,7}:{(12,1),(15,1),(36,1),(39,1),(40,1)}
        25:{1,4,6}:{(12,1),(13,1),(16,1),(37,1),(39,1),(40,1),(41,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(38,1),(40,1),(41,1),(42,1),(74,1),(98,1)}
        27:{1,2,4}:{(14,1),(41,1),(42,1),(73,1)}
        28:{2,6}:{(15,1),(18,1),(39,1)}
        29:{2,5}:{(16,1),(19,1),(40,1)}
        30:{2,4}:{(17,1),(41,1),(46,1)}
        31:{3,6,7}:{(18,1),(20,1),(43,1),(47,1)}
        32:{3,5,6}:{(18,1),(19,1),(21,1),(44,1),(47,1),(48,1),(76,1)}
        33:{4,5}:{(19,1),(48,1)}
        34:{5,7}:{(20,1),(21,1)}
        35:{3,4,7}:{(22,1),(49,1),(50,1),(100,1),(101,1)}
        36:{2,5,7}:{(22,1),(24,1),(49,1),(51,1),(52,1)}
        37:{2,4,6}:{(22,1),(23,1),(25,1),(50,1),(51,1),(52,1),(53,1)}
        38:{2,3,5}:{(23,1),(26,1),(52,1),(53,1),(58,1),(83,1),(86,1)}
        39:{1,6}:{(24,1),(28,1),(51,1)}
        40:{1,5}:{(25,1),(29,1),(52,1)}
        41:{1,4}:{(26,1),(30,1),(53,1)}
        42:{1,3}:{(27,1),(58,1)}
        43:{2,6,7}:{(28,1),(31,1),(54,1),(59,1)}
        44:{2,5,6}:{(28,1),(29,1),(32,1),(55,1),(59,1),(60,1)}
        45:{2,4,5}:{(29,1),(30,1),(33,1),(56,1),(60,1),(61,1),(86,1)}
        46:{3,4}:{(30,1),(61,1)}
        47:{3,5,7}:{(31,1),(32,1),(34,1),(59,1),(62,1),(89,1)}
        48:{4,6}:{(32,1),(33,1),(62,1)}
        49:{3,5,7}:{(35,1),(36,1),(63,1),(64,1),(65,1)}
        50:{3,4,6}:{(35,1),(37,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        51:{2,6}:{(36,1),(39,1),(64,1)}
        52:{2,5}:{(37,1),(40,1),(65,1)}
        53:{2,4}:{(38,1),(41,1),(69,1)}
        54:{1,6,7}:{(39,1),(43,1),(66,1),(70,1)}
        55:{1,5,6}:{(39,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        56:{1,4,5}:{(40,1),(41,1),(45,1),(68,1),(71,1),(72,1),(98,1)}
        57:{1,3,4}:{(41,1),(42,1),(46,1),(69,1),(72,1),(73,1)}
        58:{2,3}:{(42,1),(73,1),(74,1)}
        59:{2,5,7}:{(43,1),(44,1),(47,1),(70,1),(75,1)}
        60:{2,4,6}:{(44,1),(45,1),(48,1),(71,1),(75,1),(76,1),(97,1)}
        61:{3,5}:{(45,1),(46,1),(76,1)}
        62:{4,7}:{(47,1),(48,1)}
        63:{4,5,7}:{(49,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(49,1),(51,1),(77,1)}
        65:{3,5}:{(50,1),(52,1),(80,1)}
        66:{2,6,7}:{(51,1),(54,1),(78,1),(81,1)}
        67:{2,5,6}:{(51,1),(52,1),(55,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(52,1),(53,1),(56,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(53,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,4,6}:{(55,1),(56,1),(60,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(56,1),(57,1),(61,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(57,1),(58,1),(86,1),(87,1)}
        74:{1,3}:{(58,1),(87,1),(88,1)}
        75:{2,4,7}:{(59,1),(60,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(60,1),(61,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 803 :  0:{1,2}:{(4,1)}
        1:{2,3}:{(4,1),(5,1)}
        2:{3,4}:{(5,1),(6,1)}
        3:{4,5}:{(6,1),(7,1)}
        4:{1,3}:{(0,1),(1,1),(8,1),(9,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(10,1)}
        6:{3,5}:{(2,1),(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(11,1),(12,1),(13,1)}
        8:{2,3}:{(4,1),(14,1)}
        9:{1,4}:{(4,1),(5,1),(14,1),(15,1)}
       10:{2,5}:{(5,1),(6,1),(15,1),(16,1)}
       11:{3,6}:{(6,1),(7,1),(16,1),(17,1)}
       12:{5,6}:{(7,1),(18,1)}
       13:{4,7}:{(7,1),(17,1),(18,1)}
       14:{2,4}:{(8,1),(9,1),(19,1),(20,1)}
       15:{1,5}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{3,7}:{(11,1),(13,1),(22,1)}
       18:{5,7}:{(12,1),(13,1),(23,1)}
       19:{3,4}:{(14,1),(24,1)}
       20:{2,5}:{(14,1),(15,1),(24,1),(25,1)}
       21:{1,6}:{(15,1),(16,1),(25,1),(26,1)}
       22:{2,7}:{(16,1),(17,1),(26,1)}
       23:{6,7}:{(18,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1)}
       25:{2,6}:{(20,1),(21,1),(28,1),(29,1)}
       26:{1,7}:{(21,1),(22,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 804 :  0:{5,6}:{(4,1),(5,1)}
        1:{4,5}:{(4,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{2,3}:{(7,1),(8,1)}
        4:{4,6}:{(0,1),(1,1),(9,1),(10,1)}
        5:{5,7}:{(0,1),(10,1),(11,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(12,1),(13,1)}
        8:{1,3}:{(3,1),(13,1),(14,1),(22,1)}
        9:{3,6}:{(4,1),(6,1),(15,1),(16,1)}
       10:{4,7}:{(4,1),(5,1),(16,1)}
       11:{6,7}:{(5,1)}
       12:{2,5}:{(6,1),(7,1),(15,1),(17,1)}
       13:{1,4}:{(7,1),(8,1),(17,1),(18,1)}
       14:{2}:{(8,1)}
       15:{2,6}:{(9,1),(12,1),(19,1),(20,1)}
       16:{3,7}:{(9,1),(10,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(19,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{1,6}:{(15,1),(17,1),(23,1),(24,1)}
       20:{2,7}:{(15,1),(16,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(23,1),(25,1)}
       22:{3}:{(18,1)}
       23:{2,6}:{(19,1),(21,1),(26,1),(27,1)}
       24:{1,7}:{(19,1),(20,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(26,1),(28,1),(31,1)}
       26:{3,6}:{(23,1),(25,1),(29,1),(30,1)}
       27:{2,7}:{(23,1),(24,1),(30,1)}
       28:{4}:{(25,1)}
       29:{4,6}:{(26,1),(28,1),(31,1),(32,1),(34,1)}
       30:{3,7}:{(26,1),(27,1),(32,1)}
       31:{5}:{(29,1)}
       32:{4,7}:{(29,1),(30,1),(33,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 805 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(24,1),(31,1),(32,1),(194,1),(204,1),(221,1),(325,1),(327,1),(417,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(273,1),(376,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(41,1),(242,1),(256,1),(360,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(417,1),(419,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(204,1),(222,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(61,1),(406,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(65,1),(294,1),(309,1),(325,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(38,1),(83,1),(103,1),(104,1),(151,1),(159,1),(277,1),(280,1),(376,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(46,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(38,1),(50,1),(160,1),(177,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(256,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(90,1),(373,1),(387,1),(388,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(31,1),(204,1),(331,1)}
        14:{1,2,4,5,7}:{(7,1),(25,1),(26,1),(61,1),(117,1),(126,1),(127,1),(196,1),(205,1),(310,1),(314,1),(406,1)}
        15:{1,3,4,5}:{(8,1),(23,1),(27,1),(419,1),(422,1)}
        16:{2,3,5}:{(8,1),(10,1),(27,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(71,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(60,1),(75,1),(123,1),(138,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(61,1),(207,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(309,1),(323,1),(326,1),(339,1),(340,1),(406,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(126,1),(417,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(376,1),(379,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(38,1),(40,1),(41,1),(50,1),(103,1),(151,1),(160,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(42,1),(256,1),(365,1)}
        26:{1,2,4,6,7}:{(14,1),(18,1),(42,1),(43,1),(90,1),(96,1),(156,1),(245,1),(349,1)}
        27:{2,4,5}:{(15,1),(16,1),(38,1),(45,1)}
        28:{1,3,4,5,7}:{(15,1),(17,1),(39,1),(46,1),(47,1),(56,1),(91,1),(113,1)}
        29:{1,3,5}:{(16,1),(19,1),(45,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(103,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(89,1),(165,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(90,1),(109,1),(174,1),(260,1),(272,1),(278,1),(288,1),(290,1),(364,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(371,1),(375,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(72,1),(114,1),(199,1),(228,1),(229,1),(331,1),(398,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(60,1),(61,1)}
        39:{1,3,4,7}:{(23,1),(25,1),(61,1),(406,1),(410,1)}
        40:{1,3,5,6}:{(24,1),(29,1),(60,1),(63,1),(64,1),(75,1),(123,1),(141,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(126,1),(196,1),(207,1)}
        42:{1,3,6,7}:{(25,1),(26,1),(31,1),(65,1),(396,1)}
        43:{1,2,5,6,7}:{(26,1),(32,1),(66,1),(126,1),(202,1),(298,1),(310,1),(416,1)}
        44:{2,3,4,5}:{(27,1),(59,1),(67,1),(134,1),(295,1),(422,1)}
        45:{1,4,5}:{(27,1),(29,1),(60,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(30,1),(61,1),(70,1),(71,1),(126,1)}
        47:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(77,1),(147,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(70,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(71,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(336,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(123,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(125,1),(146,1),(213,1),(230,1),(236,1),(238,1),(318,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(126,1),(216,1),(320,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(406,1),(419,1)}
        57:{2,4,5,6}:{(37,1),(38,1),(82,1),(83,1),(84,1),(103,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(39,1),(84,1),(85,1),(91,1),(152,1),(249,1),(262,1),(263,1),(352,1),(365,1)}
        59:{2,3,4,6}:{(38,1),(44,1),(82,1),(86,1),(87,1),(160,1),(243,1),(379,1)}
        60:{1,4,6}:{(38,1),(40,1),(45,1),(89,1)}
        61:{2,4,7}:{(38,1),(39,1),(41,1),(89,1)}
        62:{1,3,4,6,7}:{(39,1),(42,1),(47,1),(90,1),(91,1),(96,1),(174,1)}
        63:{1,2,5,6}:{(40,1),(48,1),(88,1),(93,1),(107,1),(151,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(89,1),(93,1),(94,1),(165,1),(167,1)}
        65:{2,3,6,7}:{(41,1),(42,1),(50,1),(90,1),(94,1),(245,1)}
        66:{1,3,5,6,7}:{(42,1),(43,1),(51,1),(91,1),(95,1),(96,1),(360,1),(371,1),(372,1)}
        67:{1,3,4,5}:{(44,1),(45,1),(86,1),(97,1),(100,1),(175,1),(342,1)}
        68:{2,3,4,5,7}:{(44,1),(46,1),(87,1),(98,1),(99,1),(113,1),(163,1),(178,1),(193,1),(346,1),(364,1),(378,1),(449,1),(450,1),(459,1),(504,1)}
        69:{1,2,4,5}:{(45,1),(48,1),(88,1),(97,1),(100,1),(105,1)}
        70:{1,4,5,7}:{(45,1),(46,1),(49,1),(89,1),(102,1),(167,1)}
        71:{2,4,6}:{(46,1),(47,1),(50,1),(102,1),(103,1)}
        72:{1,3,5,6}:{(47,1),(91,1),(103,1),(104,1),(186,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(100,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(102,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(103,1),(108,1),(109,1),(186,1),(285,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(165,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(272,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(167,1),(282,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(364,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(331,1)}
        83:{1,4,5,6}:{(57,1),(60,1),(114,1),(117,1),(141,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(61,1),(115,1),(117,1),(118,1),(126,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(67,1),(114,1),(120,1),(121,1),(123,1),(204,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(61,1),(115,1),(121,1),(207,1),(296,1),(410,1)}
        88:{1,2,4,6}:{(60,1),(63,1),(69,1),(120,1),(123,1),(124,1)}
        89:{1,4,7}:{(60,1),(61,1),(64,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(65,1),(71,1),(125,1),(126,1)}
        91:{1,3,5,7}:{(62,1),(72,1),(126,1),(127,1),(216,1)}
        92:{1,2,3,5,6}:{(63,1),(73,1),(123,1),(128,1),(129,1),(144,1),(195,1),(211,1),(231,1),(234,1),(316,1),(321,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(124,1),(130,1),(196,1)}
        94:{1,3,6,7}:{(64,1),(65,1),(75,1),(125,1),(130,1)}
        95:{2,3,5,6,7}:{(65,1),(66,1),(76,1),(126,1),(131,1),(132,1),(216,1),(298,1),(313,1),(320,1),(322,1),(396,1)}
        96:{1,4,6,7}:{(66,1),(77,1),(127,1),(132,1),(406,1)}
        97:{2,4,5}:{(67,1),(120,1),(134,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(135,1),(136,1),(139,1),(209,1),(223,1),(240,1),(318,1),(333,1),(389,1),(406,1),(410,1),(419,1),(422,1),(481,1),(489,1),(525,1)}
        99:{2,3,4,6}:{(68,1),(71,1),(136,1),(137,1),(147,1),(226,1),(237,1),(330,1),(393,1),(480,1),(524,1)}
       100:{1,3,5}:{(69,1),(123,1),(134,1),(138,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(74,1),(124,1),(135,1),(139,1),(140,1),(143,1),(214,1),(234,1),(318,1),(333,1),(525,1),(526,1),(530,1),(547,1)}
       102:{1,4,6}:{(70,1),(71,1),(75,1),(141,1)}
       103:{2,5,6}:{(71,1),(72,1),(126,1),(141,1)}
       104:{1,4,5,6}:{(72,1),(77,1),(127,1),(142,1),(336,1)}
       105:{1,2,4}:{(73,1),(138,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(139,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(141,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(213,1),(236,1),(322,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(320,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(318,1),(333,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(216,1),(410,1),(422,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(365,1)}
       116:{1,2,4,5,6}:{(83,1),(88,1),(151,1),(154,1),(155,1),(169,1),(184,1),(243,1),(269,1),(280,1),(283,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(89,1),(152,1),(156,1),(167,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(91,1),(157,1),(158,1),(253,1),(352,1)}
       120:{2,4,6}:{(86,1),(97,1),(151,1),(160,1),(161,1)}
       121:{1,3,4,7}:{(86,1),(87,1),(89,1),(152,1),(161,1),(165,1),(256,1),(343,1)}
       122:{2,3,4,6,7}:{(87,1),(90,1),(99,1),(153,1),(162,1),(163,1),(174,1),(247,1),(260,1),(272,1),(347,1),(364,1),(437,1),(438,1),(450,1),(496,1)}
       123:{1,3,6}:{(88,1),(100,1),(160,1),(165,1)}
       124:{1,2,4,7}:{(88,1),(89,1),(93,1),(161,1),(165,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(94,1),(102,1),(167,1)}
       126:{2,5,7}:{(90,1),(91,1),(103,1),(167,1)}
       127:{1,4,5,7}:{(91,1),(96,1),(104,1),(168,1),(371,1)}
       128:{1,2,4,6}:{(92,1),(105,1),(164,1),(169,1),(170,1),(243,1),(283,1)}
       129:{1,2,3,5,7}:{(92,1),(93,1),(165,1),(170,1),(171,1),(244,1),(264,1),(266,1),(270,1)}
       130:{1,2,6,7}:{(93,1),(94,1),(107,1),(245,1)}
       131:{1,3,5,6,7}:{(94,1),(95,1),(108,1),(167,1),(172,1),(173,1),(266,1),(268,1),(271,1)}
       132:{2,4,6,7}:{(95,1),(96,1),(109,1),(168,1),(173,1),(174,1),(364,1)}
       133:{1,2,4,5}:{(97,1),(159,1),(175,1),(273,1),(342,1),(355,1)}
       134:{2,3,5}:{(97,1),(100,1),(160,1),(175,1),(177,1)}
       135:{2,4,5,7}:{(97,1),(98,1),(161,1),(178,1),(179,1),(261,1),(364,1),(378,1),(507,1),(513,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(102,1),(179,1),(180,1),(183,1),(276,1),(283,1),(289,1),(376,1),(379,1),(431,1),(539,1)}
       137:{2,3,5,6}:{(99,1),(103,1),(163,1),(180,1),(181,1),(186,1),(285,1),(435,1),(498,1),(534,1)}
       138:{1,3,4}:{(100,1),(105,1),(177,1)}
       139:{1,3,5,7}:{(100,1),(101,1),(165,1),(178,1),(182,1),(183,1),(282,1),(540,1),(543,1)}
       140:{1,2,4,6}:{(101,1),(102,1),(107,1),(179,1),(183,1),(184,1),(283,1),(539,1),(551,1)}
       141:{1,5,6}:{(102,1),(103,1),(167,1)}
       142:{2,4,5,6}:{(103,1),(104,1),(109,1),(168,1),(185,1),(186,1),(285,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(182,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(183,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(285,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(186,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(266,1),(370,1),(506,1),(540,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(268,1),(369,1),(382,1)}
       151:{2,5,6}:{(114,1),(120,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(123,1),(195,1),(199,1),(200,1),(211,1),(316,1),(331,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(124,1),(196,1),(200,1),(201,1),(214,1),(296,1),(314,1),(318,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(126,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(127,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(133,1),(194,1),(204,1),(205,1),(292,1)}
       160:{2,3,6}:{(120,1),(123,1),(134,1),(204,1),(207,1)}
       161:{2,4,7}:{(120,1),(121,1),(196,1),(207,1)}
       162:{1,3,4,6,7}:{(121,1),(122,1),(125,1),(136,1),(197,1),(208,1),(209,1),(213,1),(299,1),(309,1),(318,1),(323,1),(390,1),(396,1),(406,1),(410,1),(472,1),(481,1),(519,1)}
       163:{2,3,5,7}:{(122,1),(126,1),(137,1),(209,1),(210,1),(216,1),(320,1),(394,1),(471,1),(518,1)}
       164:{1,3,4,6}:{(123,1),(128,1),(138,1),(206,1),(211,1),(212,1),(316,1)}
       165:{1,3,7}:{(123,1),(124,1),(207,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(130,1),(140,1),(208,1),(213,1),(214,1),(318,1),(519,1),(520,1),(526,1)}
       167:{1,5,7}:{(125,1),(126,1),(141,1)}
       168:{2,4,5,7}:{(126,1),(127,1),(132,1),(142,1),(215,1),(216,1),(320,1)}
       169:{1,2,4,5}:{(128,1),(211,1),(234,1),(295,1),(333,1)}
       170:{1,2,4,7}:{(128,1),(129,1),(212,1),(296,1),(318,1)}
       171:{1,2,3,6,7}:{(129,1),(130,1),(144,1),(213,1),(218,1),(297,1),(316,1),(548,1)}
       172:{1,2,5,6,7}:{(130,1),(131,1),(145,1),(214,1),(219,1),(298,1),(320,1),(400,1)}
       173:{1,4,6,7}:{(131,1),(132,1),(146,1),(215,1),(318,1)}
       174:{3,4,6,7}:{(132,1),(147,1),(216,1),(396,1),(410,1)}
       175:{1,3,5}:{(133,1),(134,1),(204,1),(222,1)}
       176:{1,2,4,5,7}:{(133,1),(135,1),(205,1),(223,1),(224,1),(240,1),(310,1),(324,1),(341,1),(389,1),(401,1),(406,1),(417,1),(419,1),(483,1),(491,1)}
       177:{2,3,4}:{(134,1),(138,1),(222,1)}
       178:{2,3,5,7}:{(134,1),(135,1),(139,1),(207,1),(223,1),(225,1),(226,1),(329,1),(527,1),(532,1)}
       179:{2,4,6}:{(135,1),(136,1),(226,1),(227,1)}
       180:{1,3,5,6}:{(136,1),(137,1),(141,1),(209,1),(227,1),(228,1),(331,1),(336,1),(466,1),(545,1)}
       181:{2,4,5,6}:{(137,1),(210,1),(228,1),(229,1),(330,1)}
       182:{1,3,4,7}:{(138,1),(139,1),(143,1),(225,1),(230,1),(318,1),(550,1)}
       183:{1,3,6}:{(139,1),(140,1),(226,1)}
       184:{1,2,5,6}:{(140,1),(141,1),(214,1),(227,1),(231,1),(234,1),(545,1)}
       185:{1,4,5,6}:{(141,1),(142,1),(146,1),(215,1),(233,1)}
       186:{3,5,6}:{(142,1),(147,1),(216,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(230,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(231,1),(234,1),(235,1),(236,1),(335,1),(337,1),(488,1),(531,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(233,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(318,1),(414,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(320,1),(414,1),(425,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(160,1),(241,1),(243,1),(244,1),(258,1),(362,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(161,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(163,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(283,1),(379,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(165,1),(244,1),(249,1),(250,1),(365,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(269,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(167,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(168,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,3,6}:{(159,1),(160,1),(175,1),(256,1)}
       205:{1,2,4,7}:{(159,1),(161,1),(242,1),(256,1),(343,1)}
       206:{2,3,4,6}:{(160,1),(164,1),(177,1),(243,1),(255,1),(258,1),(259,1),(362,1)}
       207:{2,3,7}:{(160,1),(161,1),(165,1),(256,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(179,1),(245,1),(260,1),(261,1),(364,1),(499,1),(507,1)}
       209:{1,3,5,7}:{(162,1),(163,1),(167,1),(180,1),(261,1),(262,1),(365,1),(371,1),(432,1),(535,1)}
       210:{2,4,5,7}:{(163,1),(181,1),(247,1),(262,1),(263,1),(364,1)}
       211:{1,3,5}:{(164,1),(169,1),(258,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(170,1),(259,1),(264,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(183,1),(260,1),(266,1),(540,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(184,1),(261,1),(266,1),(535,1)}
       215:{1,4,5,7}:{(167,1),(168,1),(173,1),(185,1),(268,1)}
       216:{3,5,7}:{(168,1),(174,1),(186,1)}
       217:{1,2,4,5,7}:{(169,1),(170,1),(264,1),(269,1),(270,1),(346,1),(368,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(187,1),(265,1),(269,1),(270,1),(347,1),(538,1),(551,1)}
       219:{1,2,4,6,7}:{(172,1),(173,1),(189,1),(267,1),(271,1),(272,1),(349,1),(439,1),(499,1)}
       220:{1,3,4,6,7}:{(173,1),(174,1),(190,1),(268,1),(271,1),(272,1),(369,1)}
       221:{1,2,3,5}:{(175,1),(254,1),(273,1),(355,1)}
       222:{1,3,4}:{(175,1),(177,1),(273,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(256,1),(275,1),(276,1),(375,1),(508,1),(515,1)}
       224:{1,2,4,6}:{(176,1),(179,1),(276,1),(277,1),(289,1),(376,1),(387,1),(431,1),(441,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(182,1),(275,1),(278,1),(364,1),(544,1)}
       226:{2,3,6}:{(178,1),(179,1),(183,1),(276,1)}
       227:{2,5,6}:{(179,1),(180,1),(261,1)}
       228:{1,4,5,6}:{(180,1),(181,1),(262,1),(280,1),(283,1),(376,1)}
       229:{3,4,5,6}:{(181,1),(186,1),(263,1),(379,1),(498,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(187,1),(278,1),(282,1),(283,1)}
       231:{1,3,5,6}:{(183,1),(184,1),(266,1),(279,1),(282,1),(283,1)}
       232:{1,2,4,5,6}:{(184,1),(185,1),(189,1),(267,1),(280,1),(283,1),(284,1),(285,1),(286,1),(381,1),(383,1),(461,1),(512,1)}
       233:{1,3,5,6}:{(185,1),(186,1),(190,1),(268,1),(285,1)}
       234:{1,2,5}:{(187,1),(282,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(283,1),(286,1),(287,1),(383,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(285,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(540,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(371,1),(452,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(204,1),(292,1),(293,1),(307,1),(404,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(205,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(207,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(209,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(210,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(211,1),(295,1),(333,1),(422,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(318,1),(410,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(316,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(214,1),(298,1),(303,1),(321,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(215,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(216,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(221,1),(305,1),(306,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(222,1),(292,1),(305,1),(307,1),(308,1),(404,1)}
       256:{1,3,7}:{(204,1),(205,1),(207,1)}
       257:{1,2,4,6,7}:{(205,1),(208,1),(224,1),(294,1),(309,1),(310,1),(323,1),(390,1),(406,1),(416,1),(483,1)}
       258:{2,3,5}:{(206,1),(211,1),(295,1),(307,1)}
       259:{2,3,4,7}:{(206,1),(207,1),(212,1),(296,1),(308,1),(311,1)}
       260:{2,3,6,7}:{(207,1),(208,1),(213,1),(226,1),(309,1),(313,1),(396,1),(527,1)}
       261:{2,5,7}:{(208,1),(209,1),(227,1)}
       262:{1,4,5,7}:{(209,1),(210,1),(228,1),(299,1),(314,1),(318,1),(406,1)}
       263:{3,4,5,7}:{(210,1),(216,1),(229,1),(300,1),(410,1),(471,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(217,1),(311,1),(316,1)}
       265:{1,3,4,6,7}:{(212,1),(213,1),(218,1),(230,1),(312,1),(316,1),(317,1),(318,1),(413,1),(519,1),(523,1),(546,1)}
       266:{1,3,5,7}:{(213,1),(214,1),(231,1),(313,1),(318,1)}
       267:{1,2,4,5,7}:{(214,1),(215,1),(219,1),(232,1),(314,1),(318,1),(319,1),(320,1),(412,1),(414,1),(482,1),(526,1)}
       268:{1,3,5,7}:{(215,1),(216,1),(220,1),(233,1),(320,1)}
       269:{1,2,4,6}:{(217,1),(316,1),(321,1),(393,1),(413,1)}
       270:{1,2,5,7}:{(218,1),(234,1),(317,1),(321,1),(394,1)}
       271:{1,3,6,7}:{(219,1),(236,1),(319,1),(322,1),(396,1)}
       272:{2,4,6,7}:{(220,1),(237,1),(320,1),(322,1),(323,1),(414,1)}
       273:{1,2,4}:{(221,1),(222,1)}
       274:{1,2,3,5,7}:{(221,1),(223,1),(306,1),(324,1),(325,1),(341,1),(401,1),(417,1),(430,1),(493,1)}
       275:{1,3,4,7}:{(222,1),(223,1),(225,1),(324,1),(326,1),(406,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(226,1)}
       277:{1,2,5,6}:{(224,1),(227,1),(310,1),(327,1),(336,1),(417,1),(466,1)}
       278:{2,3,4,6}:{(225,1),(226,1),(230,1),(326,1),(329,1),(330,1)}
       279:{2,3,5,6}:{(226,1),(227,1),(231,1),(313,1),(327,1),(329,1),(330,1),(331,1)}
       280:{2,4,5,6}:{(227,1),(228,1),(314,1),(330,1),(331,1)}
       281:{1,3,4,5,6}:{(228,1),(229,1),(233,1),(315,1),(331,1),(332,1),(334,1),(420,1),(424,1),(517,1)}
       282:{1,3,5}:{(230,1),(234,1),(329,1),(333,1)}
       283:{1,4,6}:{(231,1),(318,1),(330,1),(333,1)}
       284:{1,3,5,6}:{(232,1),(236,1),(319,1),(331,1),(334,1),(335,1),(337,1),(531,1)}
       285:{2,5,6}:{(233,1),(237,1),(320,1),(336,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(333,1),(337,1),(425,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(531,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(336,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(414,1),(527,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(256,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(258,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(362,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(261,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(262,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(263,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(264,1),(346,1),(351,1),(352,1),(368,1),(449,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(266,1),(348,1),(352,1),(353,1),(367,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(268,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(273,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(256,1),(356,1)}
       307:{1,3,5}:{(255,1),(258,1),(342,1),(355,1)}
       308:{1,3,4,7}:{(255,1),(256,1),(259,1),(343,1),(356,1),(358,1)}
       309:{1,3,6,7}:{(256,1),(257,1),(260,1),(276,1),(360,1),(508,1)}
       310:{1,2,5,7}:{(257,1),(261,1),(277,1),(360,1),(371,1),(432,1)}
       311:{2,3,5,7}:{(258,1),(259,1),(264,1),(346,1),(358,1),(362,1)}
       312:{2,3,4,6,7}:{(259,1),(260,1),(265,1),(278,1),(347,1),(359,1),(362,1),(363,1),(364,1),(437,1),(448,1),(496,1),(502,1),(536,1)}
       313:{2,3,5,7}:{(260,1),(261,1),(266,1),(279,1),(360,1),(364,1),(365,1)}
       314:{2,4,5,7}:{(261,1),(262,1),(280,1),(349,1),(364,1),(365,1)}
       315:{1,3,4,5,7}:{(262,1),(263,1),(268,1),(281,1),(350,1),(365,1),(366,1),(369,1),(446,1),(451,1),(495,1)}
       316:{1,3,6}:{(264,1),(269,1),(362,1)}
       317:{1,3,5,7}:{(265,1),(270,1),(282,1),(363,1),(367,1),(368,1),(535,1)}
       318:{1,4,7}:{(266,1),(283,1),(364,1)}
       319:{1,3,5,7}:{(267,1),(271,1),(284,1),(365,1),(369,1),(370,1),(540,1)}
       320:{2,5,7}:{(268,1),(272,1),(285,1),(371,1)}
       321:{1,2,5,6}:{(269,1),(270,1),(367,1),(435,1),(551,1)}
       322:{2,3,6,7}:{(271,1),(272,1),(288,1),(370,1),(372,1),(499,1)}
       323:{1,4,6,7}:{(272,1),(289,1),(371,1),(372,1),(452,1)}
       324:{1,2,4,7}:{(273,1),(274,1),(275,1),(373,1),(516,1)}
       325:{1,2,3,6}:{(274,1),(276,1),(373,1),(387,1),(441,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(373,1),(375,1),(376,1)}
       327:{1,3,5,6}:{(276,1),(277,1),(279,1),(360,1),(375,1),(376,1)}
       328:{1,2,4,5,6}:{(277,1),(280,1),(361,1),(376,1),(377,1),(381,1),(454,1),(457,1),(461,1),(463,1),(494,1),(500,1),(534,1)}
       329:{2,3,5}:{(278,1),(282,1),(375,1),(378,1)}
       330:{2,4,6}:{(279,1),(283,1),(364,1),(376,1),(378,1),(379,1)}
       331:{3,5,6}:{(280,1),(365,1),(379,1)}
       332:{2,4,5,6}:{(281,1),(285,1),(366,1),(380,1),(381,1),(383,1),(457,1),(461,1),(534,1)}
       333:{1,4,5}:{(282,1),(283,1),(378,1)}
       334:{1,3,4,6}:{(283,1),(284,1),(369,1),(379,1),(382,1),(383,1)}
       335:{2,3,5,6}:{(284,1),(285,1),(288,1),(370,1),(383,1),(384,1),(385,1),(461,1),(514,1)}
       336:{1,5,6}:{(285,1),(289,1),(371,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(383,1),(385,1),(386,1),(514,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(452,1),(508,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(307,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(404,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(310,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(311,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(313,1),(391,1),(394,1),(395,1),(396,1),(408,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(314,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(315,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(316,1),(393,1),(398,1),(413,1),(480,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(318,1),(395,1),(399,1),(413,1)}
       354:{2,5,6,7}:{(304,1),(320,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(307,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(308,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(309,1),(325,1),(402,1),(403,1),(416,1),(469,1),(521,1)}
       358:{1,3,5,7}:{(307,1),(308,1),(311,1),(389,1),(401,1),(404,1)}
       359:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(326,1),(390,1),(402,1),(404,1),(405,1),(406,1),(475,1),(476,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(313,1),(327,1),(406,1)}
       361:{1,2,4,5,7}:{(310,1),(314,1),(328,1),(392,1),(406,1),(407,1),(412,1),(467,1),(478,1),(482,1),(483,1),(518,1)}
       362:{2,3,6}:{(311,1),(316,1),(393,1),(404,1)}
       363:{2,3,5,7}:{(312,1),(317,1),(329,1),(394,1),(405,1),(408,1),(409,1),(471,1),(518,1)}
       364:{2,4,7}:{(313,1),(318,1),(330,1),(406,1),(410,1)}
       365:{3,5,7}:{(314,1),(331,1),(396,1),(410,1)}
       366:{2,4,5,7}:{(315,1),(320,1),(332,1),(397,1),(411,1),(412,1),(414,1),(478,1),(482,1),(518,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(321,1),(408,1),(413,1),(545,1),(546,1)}
       368:{1,4,5,7}:{(317,1),(318,1),(333,1),(409,1),(413,1)}
       369:{1,3,4,7}:{(318,1),(319,1),(334,1),(410,1),(414,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(322,1),(335,1),(414,1),(415,1),(482,1),(527,1)}
       371:{1,5,7}:{(320,1),(323,1),(336,1)}
       372:{1,3,6,7}:{(322,1),(323,1),(339,1),(415,1),(416,1)}
       373:{1,2,4,6}:{(324,1),(325,1),(326,1),(417,1)}
       374:{1,2,3,5,6}:{(325,1),(327,1),(403,1),(417,1),(418,1),(421,1),(427,1),(473,1),(484,1),(492,1),(493,1),(521,1)}
       375:{1,3,5}:{(326,1),(329,1),(417,1),(419,1)}
       376:{1,4,6}:{(327,1),(330,1),(406,1),(419,1)}
       377:{1,3,5,6}:{(328,1),(331,1),(407,1),(420,1),(421,1),(484,1),(492,1),(521,1)}
       378:{2,4,5}:{(329,1),(330,1),(333,1),(419,1),(422,1)}
       379:{3,4,6}:{(330,1),(331,1),(410,1),(422,1)}
       380:{2,3,5,6}:{(331,1),(332,1),(411,1),(423,1),(424,1)}
       381:{1,4,5,6}:{(332,1),(336,1),(412,1),(424,1),(426,1),(487,1),(545,1)}
       382:{1,3,4,5}:{(333,1),(334,1),(337,1),(422,1),(425,1)}
       383:{2,4,6}:{(334,1),(335,1),(414,1),(425,1),(426,1)}
       384:{1,3,5,6}:{(335,1),(336,1),(339,1),(415,1),(426,1),(427,1),(428,1),(492,1)}
       385:{2,3,5}:{(337,1),(338,1),(425,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(426,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(358,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(360,1),(432,1),(433,1),(434,1),(444,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(361,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(362,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(364,1),(433,1),(436,1),(437,1),(448,1)}
       396:{3,6,7}:{(349,1),(365,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(366,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(371,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(358,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(373,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(360,1),(374,1),(442,1),(443,1),(447,1),(453,1),(501,1),(508,1)}
       404:{1,3,6}:{(358,1),(362,1),(431,1),(441,1)}
       405:{1,3,5,7}:{(359,1),(363,1),(375,1),(432,1),(442,1),(444,1),(445,1)}
       406:{1,4,7}:{(360,1),(364,1),(376,1)}
       407:{1,3,5,7}:{(361,1),(365,1),(377,1),(434,1),(446,1),(447,1),(508,1)}
       408:{2,3,5,6}:{(362,1),(363,1),(367,1),(435,1),(444,1),(448,1),(498,1),(534,1),(536,1)}
       409:{2,4,5,7}:{(363,1),(364,1),(368,1),(378,1),(445,1),(448,1),(449,1)}
       410:{3,4,7}:{(364,1),(365,1),(379,1)}
       411:{2,3,5,7}:{(365,1),(366,1),(380,1),(438,1),(450,1),(451,1)}
       412:{1,4,5,7}:{(366,1),(371,1),(381,1),(439,1),(451,1),(452,1),(505,1),(535,1)}
       413:{1,4,6}:{(367,1),(368,1),(448,1)}
       414:{2,4,7}:{(369,1),(370,1),(383,1),(452,1)}
       415:{1,3,5,7}:{(370,1),(371,1),(372,1),(384,1),(452,1),(453,1),(508,1)}
       416:{1,2,6,7}:{(372,1),(387,1),(453,1),(499,1)}
       417:{1,2,5}:{(373,1),(375,1)}
       418:{1,2,4,6}:{(374,1),(376,1),(443,1),(454,1),(455,1),(457,1),(516,1)}
       419:{1,4,5}:{(375,1),(376,1),(378,1)}
       420:{1,3,4,6}:{(376,1),(377,1),(379,1),(446,1),(456,1),(457,1)}
       421:{2,3,5,6}:{(377,1),(447,1),(457,1),(458,1),(461,1),(509,1),(514,1),(534,1),(536,1)}
       422:{3,4,5}:{(378,1),(379,1)}
       423:{2,3,4,6}:{(379,1),(380,1),(383,1),(450,1),(457,1),(459,1),(460,1),(514,1)}
       424:{1,3,5,6}:{(380,1),(381,1),(451,1),(460,1),(461,1)}
       425:{2,4,5}:{(382,1),(383,1),(385,1),(462,1)}
       426:{1,4,6}:{(383,1),(384,1),(452,1),(462,1)}
       427:{1,2,5,6}:{(384,1),(387,1),(453,1),(461,1),(463,1),(464,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(508,1)}
       431:{1,4,6}:{(389,1),(393,1),(404,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(406,1),(467,1),(476,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(407,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(410,1),(471,1),(480,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(411,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(412,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(413,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(404,1)}
       442:{1,2,5,7}:{(402,1),(405,1),(417,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(406,1),(418,1),(475,1),(478,1)}
       444:{1,3,5,6}:{(404,1),(405,1),(408,1),(466,1),(473,1),(476,1),(521,1)}
       445:{1,4,5,7}:{(405,1),(406,1),(409,1),(419,1),(476,1)}
       446:{1,3,4,7}:{(406,1),(407,1),(410,1),(420,1),(478,1)}
       447:{2,3,5,7}:{(407,1),(421,1),(469,1),(478,1),(479,1),(482,1),(518,1),(527,1)}
       448:{2,4,6}:{(408,1),(409,1),(413,1),(476,1),(480,1)}
       449:{3,4,5,7}:{(409,1),(410,1),(422,1),(471,1),(480,1)}
       450:{2,3,4,7}:{(410,1),(411,1),(414,1),(423,1),(478,1),(481,1),(527,1)}
       451:{1,3,5,7}:{(411,1),(412,1),(424,1),(472,1),(481,1),(482,1)}
       452:{1,4,7}:{(414,1),(415,1),(426,1)}
       453:{1,2,5,7}:{(415,1),(416,1),(427,1),(482,1),(483,1)}
       454:{1,2,4,5}:{(417,1),(418,1),(419,1),(484,1),(486,1)}
       455:{1,3,4,6}:{(418,1),(475,1),(484,1),(485,1),(492,1),(521,1),(533,1)}
       456:{1,3,4,5}:{(419,1),(420,1),(422,1),(484,1),(486,1)}
       457:{2,4,6}:{(420,1),(421,1),(478,1),(486,1),(487,1)}
       458:{1,3,5,6}:{(421,1),(479,1),(487,1),(488,1),(528,1),(531,1),(545,1),(546,1)}
       459:{2,3,4,5}:{(422,1),(423,1),(425,1),(486,1),(489,1),(532,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(481,1),(487,1),(489,1),(490,1),(492,1),(531,1)}
       461:{2,5,6}:{(424,1),(482,1),(490,1)}
       462:{1,4,5}:{(425,1),(426,1),(428,1)}
       463:{1,2,4,6}:{(426,1),(427,1),(483,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(495,1),(496,1),(503,1)}
       469:{2,3,6,7}:{(434,1),(447,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(448,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(451,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(444,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(445,1),(454,1),(500,1),(501,1),(504,1)}
       475:{1,3,4,7}:{(443,1),(455,1),(501,1),(502,1),(508,1)}
       476:{1,4,6}:{(444,1),(445,1),(448,1)}
       477:{1,3,4,5,7}:{(445,1),(446,1),(449,1),(456,1),(495,1),(501,1),(503,1),(504,1)}
       478:{2,4,7}:{(446,1),(447,1),(457,1),(505,1)}
       479:{1,3,5,7}:{(447,1),(458,1),(497,1),(505,1),(506,1),(535,1),(540,1)}
       480:{3,4,6}:{(448,1),(449,1),(498,1)}
       481:{1,3,4,7}:{(450,1),(451,1),(452,1),(460,1),(505,1),(507,1),(508,1),(540,1)}
       482:{2,5,7}:{(451,1),(461,1),(499,1),(507,1)}
       483:{1,2,4,7}:{(452,1),(453,1),(463,1),(507,1),(508,1)}
       484:{1,3,5}:{(454,1),(455,1),(509,1)}
       485:{2,3,4,6}:{(455,1),(457,1),(502,1),(509,1),(510,1),(514,1),(536,1),(544,1)}
       486:{2,4,5}:{(456,1),(457,1),(509,1),(511,1)}
       487:{1,4,6}:{(457,1),(458,1),(505,1),(511,1)}
       488:{1,2,5,6}:{(458,1),(461,1),(506,1),(512,1),(541,1),(551,1)}
       489:{1,3,4,5}:{(459,1),(460,1),(462,1),(511,1),(513,1),(515,1),(543,1)}
       490:{2,4,6}:{(460,1),(461,1),(507,1),(513,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(513,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(508,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(476,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(478,1),(518,1),(519,1),(524,1)}
       497:{1,3,6,7}:{(469,1),(479,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(480,1)}
       499:{2,6,7}:{(472,1),(482,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(476,1),(521,1),(524,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(484,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(478,1),(485,1),(522,1),(523,1),(527,1)}
       503:{1,3,4,6}:{(476,1),(477,1),(480,1),(517,1),(521,1),(524,1)}
       504:{2,4,5,7}:{(477,1),(478,1),(486,1),(518,1),(522,1),(524,1),(525,1)}
       505:{1,4,7}:{(478,1),(479,1),(487,1)}
       506:{1,2,5,7}:{(479,1),(482,1),(488,1),(520,1),(526,1)}
       507:{2,4,7}:{(481,1),(482,1),(490,1),(527,1)}
       508:{1,3,7}:{(483,1),(492,1),(527,1)}
       509:{2,3,5}:{(484,1),(485,1),(486,1),(528,1)}
       510:{1,3,4,6}:{(485,1),(487,1),(523,1),(528,1),(529,1),(531,1),(546,1),(550,1)}
       511:{1,4,5}:{(486,1),(487,1),(528,1)}
       512:{1,2,4,6}:{(487,1),(488,1),(490,1),(526,1),(530,1),(531,1)}
       513:{2,4,5}:{(489,1),(490,1),(532,1)}
       514:{2,3,6}:{(490,1),(492,1),(527,1),(531,1),(532,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(503,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(505,1),(535,1),(539,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(506,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(504,1),(509,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(505,1),(510,1),(537,1),(538,1),(540,1)}
       524:{2,4,6}:{(503,1),(504,1),(534,1),(536,1),(539,1)}
       525:{1,4,5,7}:{(504,1),(505,1),(511,1),(535,1),(537,1),(539,1)}
       526:{1,2,4,7}:{(505,1),(506,1),(507,1),(512,1),(540,1)}
       527:{2,3,7}:{(507,1),(508,1),(514,1),(540,1)}
       528:{1,3,5}:{(509,1),(510,1),(511,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(538,1),(541,1),(542,1),(551,1),(552,1)}
       530:{1,2,4,5}:{(511,1),(512,1),(513,1),(541,1),(543,1),(552,1)}
       531:{1,3,6}:{(512,1),(514,1),(540,1),(543,1)}
       532:{2,3,5}:{(513,1),(514,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(524,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(524,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(525,1),(528,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(529,1),(547,1),(548,1)}
       539:{1,4,6}:{(524,1),(525,1),(545,1),(546,1)}
       540:{1,3,7}:{(526,1),(527,1),(531,1)}
       541:{1,2,5}:{(528,1),(529,1)}
       542:{1,2,3,6}:{(529,1),(531,1),(548,1),(549,1)}
       543:{1,3,5}:{(530,1),(531,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(539,1)}
       546:{1,3,6}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(541,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

 806 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

 807 :   0:{1,2,3,6,7}:{(1,1),(2,1),(32,1),(73,1),(295,1),(302,1),(309,1),(420,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(18,1),(98,1),(245,1),(251,1),(354,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(19,1),(104,1),(360,1),(376,1),(384,1)}
         3:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(12,1),(28,1),(32,1),(197,1),(202,1),(207,1),(309,1),(313,1),(408,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(9,1),(134,1),(402,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(11,1),(32,1),(34,1),(75,1),(302,1),(312,1),(329,1),(338,1),(341,1),(402,1)}
         6:{1,2,4,7}:{(2,1),(11,1),(12,1),(140,1),(408,1)}
         7:{2,3,4,6,7}:{(3,1),(13,1),(14,1),(22,1),(42,1),(51,1),(92,1),(98,1),(153,1),(157,1),(161,1),(267,1),(270,1),(369,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1),(16,1),(256,1),(365,1)}
         9:{1,2,5,6}:{(4,1),(15,1),(18,1),(100,1),(251,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(18,1),(19,1),(20,1),(47,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1),(21,1),(106,1),(364,1),(391,1)}
        12:{1,3,4,7}:{(6,1),(19,1),(21,1),(22,1),(384,1)}
        13:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(36,1),(61,1),(76,1),(115,1),(118,1),(135,1),(226,1),(230,1),(327,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(24,1),(25,1),(26,1),(126,1),(134,1),(206,1),(321,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(25,1),(28,1),(32,1),(202,1),(209,1)}
        16:{1,4,5,7}:{(8,1),(26,1),(28,1),(408,1),(413,1)}
        17:{1,2,5,6,7}:{(9,1),(27,1),(30,1),(134,1),(222,1),(298,1),(308,1),(315,1)}
        18:{1,2,4,6}:{(9,1),(10,1),(28,1),(32,1),(70,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(32,1),(33,1),(34,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(78,1),(402,1),(413,1)}
        21:{1,3,4,6}:{(11,1),(12,1),(32,1),(34,1),(35,1),(338,1),(342,1)}
        22:{2,3,4,7}:{(12,1),(33,1),(35,1),(36,1),(140,1),(334,1)}
        23:{1,2,4,6,7}:{(13,1),(37,1),(38,1),(56,1),(83,1),(85,1),(108,1),(161,1),(191,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(38,1),(39,1),(40,1),(177,1),(281,1)}
        25:{2,3,5,6}:{(14,1),(15,1),(39,1),(42,1),(51,1),(93,1),(100,1),(157,1),(163,1)}
        26:{2,4,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1),(369,1),(372,1)}
        27:{1,3,5,6,7}:{(15,1),(17,1),(41,1),(44,1),(49,1),(97,1),(248,1),(256,1),(360,1)}
        28:{1,4,6}:{(15,1),(16,1),(42,1)}
        29:{1,3,4,5,7}:{(16,1),(19,1),(43,1),(46,1),(47,1),(53,1),(97,1),(103,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(44,1),(48,1),(49,1),(98,1),(272,1),(366,1),(373,1)}
        31:{1,2,4,5,6}:{(18,1),(20,1),(45,1),(48,1),(50,1),(100,1),(106,1),(180,1),(260,1),(268,1),(278,1),(286,1),(364,1)}
        32:{1,3,6}:{(18,1),(19,1),(51,1)}
        33:{2,3,5,7}:{(19,1),(22,1),(47,1),(51,1),(52,1),(54,1)}
        34:{1,3,5}:{(20,1),(21,1),(54,1)}
        35:{2,3,4,6}:{(21,1),(22,1),(51,1),(54,1),(55,1),(106,1),(287,1),(291,1)}
        36:{1,3,4,7}:{(22,1),(52,1),(55,1),(56,1),(185,1),(283,1)}
        37:{1,2,3,6,7}:{(23,1),(57,1),(81,1),(118,1),(146,1),(199,1),(226,1),(485,1)}
        38:{1,2,5,7}:{(23,1),(24,1),(58,1),(206,1),(238,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(58,1),(61,1),(76,1),(118,1),(137,1)}
        40:{1,4,5,7}:{(24,1),(26,1),(61,1),(327,1),(332,1)}
        41:{2,3,5,6,7}:{(25,1),(27,1),(60,1),(63,1),(73,1),(126,1),(134,1),(199,1),(206,1),(315,1),(317,1),(414,1)}
        42:{2,4,6}:{(25,1),(26,1),(28,1),(61,1),(65,1)}
        43:{3,4,5,7}:{(26,1),(65,1),(126,1),(416,1),(419,1)}
        44:{1,4,6,7}:{(27,1),(28,1),(63,1),(67,1),(408,1)}
        45:{1,4,5,6}:{(28,1),(64,1),(67,1),(69,1),(209,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(32,1),(65,1),(69,1),(70,1)}
        47:{2,4,5,7}:{(29,1),(33,1),(70,1),(71,1),(78,1),(134,1),(140,1)}
        48:{1,2,4,5,7}:{(30,1),(31,1),(67,1),(72,1),(134,1),(140,1),(224,1),(308,1),(316,1),(325,1),(333,1),(408,1)}
        49:{1,3,6,7}:{(30,1),(32,1),(72,1),(73,1),(414,1)}
        50:{1,3,5,6}:{(31,1),(32,1),(34,1),(72,1),(74,1),(75,1),(319,1),(338,1)}
        51:{2,3,6}:{(32,1),(33,1),(70,1),(76,1)}
        52:{1,3,5,7}:{(33,1),(36,1),(71,1),(76,1),(77,1),(79,1)}
        53:{1,3,4,5}:{(34,1),(74,1),(78,1),(413,1),(419,1)}
        54:{2,3,5}:{(34,1),(35,1),(78,1),(79,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(76,1),(79,1),(80,1),(144,1),(236,1),(241,1)}
        56:{1,2,4,7}:{(36,1),(77,1),(80,1),(81,1)}
        57:{1,2,3,5,7}:{(37,1),(38,1),(82,1),(83,1),(86,1),(247,1),(276,1),(450,1),(507,1)}
        58:{1,2,5,6}:{(38,1),(39,1),(85,1),(108,1),(163,1)}
        59:{1,2,4,5,7}:{(38,1),(40,1),(83,1),(85,1),(86,1),(90,1),(151,1)}
        60:{1,3,5,6,7}:{(39,1),(41,1),(84,1),(87,1),(105,1),(155,1),(160,1),(177,1),(276,1)}
        61:{1,4,6}:{(39,1),(40,1),(42,1)}
        62:{1,3,4,5,7}:{(40,1),(43,1),(86,1),(89,1),(90,1),(160,1),(242,1),(246,1)}
        63:{2,4,6,7}:{(41,1),(42,1),(44,1),(87,1),(91,1),(92,1),(369,1)}
        64:{2,4,5,6}:{(42,1),(45,1),(88,1),(91,1),(93,1),(100,1),(163,1)}
        65:{3,4,6}:{(42,1),(43,1),(93,1)}
        66:{2,3,4,5,7}:{(43,1),(47,1),(90,1),(94,1),(95,1),(110,1),(168,1),(173,1),(184,1),(343,1),(347,1),(369,1),(372,1),(460,1),(467,1),(519,1)}
        67:{1,4,5,7}:{(44,1),(45,1),(91,1),(97,1),(256,1)}
        68:{1,3,4,6,7}:{(44,1),(46,1),(49,1),(92,1),(97,1),(98,1),(103,1)}
        69:{1,3,5,6}:{(45,1),(46,1),(93,1),(97,1),(100,1)}
        70:{2,4,6}:{(46,1),(47,1),(51,1),(100,1),(101,1)}
        71:{1,4,5,7}:{(47,1),(52,1),(101,1),(111,1),(177,1),(185,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(50,1),(103,1),(104,1),(368,1),(384,1)}
        73:{2,3,6,7}:{(49,1),(51,1),(98,1),(104,1),(105,1),(373,1)}
        74:{1,3,4,6}:{(50,1),(53,1),(103,1),(106,1),(364,1),(371,1)}
        75:{2,3,5,6}:{(50,1),(51,1),(54,1),(100,1),(104,1),(106,1),(107,1),(278,1),(287,1)}
        76:{1,3,6}:{(51,1),(52,1),(101,1),(108,1)}
        77:{1,2,5,7}:{(52,1),(56,1),(108,1),(112,1)}
        78:{2,4,5}:{(53,1),(54,1),(106,1),(111,1)}
        79:{1,3,5}:{(54,1),(55,1),(111,1),(112,1)}
        80:{1,2,4,6}:{(55,1),(56,1),(108,1),(112,1),(113,1),(194,1)}
        81:{1,2,3,7}:{(56,1),(113,1),(283,1)}
        82:{1,2,3,5,6}:{(57,1),(58,1),(114,1),(118,1),(146,1),(195,1),(201,1),(229,1),(238,1),(410,1),(482,1),(527,1)}
        83:{1,2,4,7}:{(57,1),(114,1),(115,1),(296,1),(327,1)}
        84:{1,2,5,6,7}:{(58,1),(60,1),(116,1),(142,1),(206,1),(225,1),(305,1),(315,1)}
        85:{1,2,4,6}:{(58,1),(59,1),(61,1),(118,1),(123,1)}
        86:{1,3,5,7}:{(59,1),(115,1),(118,1),(119,1),(195,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(63,1),(120,1),(327,1)}
        88:{1,4,5,6}:{(61,1),(64,1),(120,1),(122,1),(137,1)}
        89:{1,3,4,6}:{(61,1),(62,1),(65,1),(118,1),(122,1),(123,1)}
        90:{2,4,5,7}:{(62,1),(119,1),(123,1),(124,1),(206,1),(292,1),(296,1)}
        91:{2,4,5,7}:{(63,1),(64,1),(67,1),(120,1),(126,1),(134,1),(206,1)}
        92:{3,4,6,7}:{(63,1),(65,1),(126,1),(414,1),(416,1)}
        93:{3,5,6}:{(64,1),(65,1),(126,1)}
        94:{2,3,4,6}:{(65,1),(66,1),(70,1),(123,1),(129,1),(130,1),(219,1),(320,1),(497,1),(502,1),(539,1)}
        95:{1,3,4,5,7}:{(66,1),(71,1),(124,1),(130,1),(131,1),(139,1),(148,1),(211,1),(215,1),(231,1),(327,1),(332,1),(392,1),(395,1),(408,1),(413,1),(416,1),(419,1),(501,1),(538,1)}
        96:{1,4,5,6,7}:{(67,1),(125,1),(132,1),(305,1),(314,1),(423,1)}
        97:{1,3,5,7}:{(67,1),(68,1),(69,1),(126,1),(134,1)}
        98:{2,4,6,7}:{(68,1),(70,1),(73,1),(134,1),(135,1),(140,1)}
        99:{1,3,4,5,6}:{(69,1),(74,1),(128,1),(133,1),(136,1),(217,1),(227,1),(319,1),(331,1),(500,1)}
       100:{2,5,6}:{(69,1),(70,1),(134,1),(137,1)}
       101:{1,4,6}:{(70,1),(71,1),(76,1),(137,1)}
       102:{1,2,4,5,7}:{(71,1),(77,1),(131,1),(138,1),(139,1),(147,1),(149,1),(225,1),(232,1),(238,1),(327,1),(332,1),(474,1),(477,1),(538,1),(549,1)}
       103:{1,3,4,7}:{(72,1),(74,1),(140,1),(408,1),(416,1)}
       104:{2,3,5,7}:{(72,1),(73,1),(75,1),(134,1),(140,1),(141,1),(325,1),(334,1)}
       105:{1,3,6,7}:{(73,1),(76,1),(135,1),(141,1),(142,1)}
       106:{2,4,6}:{(74,1),(75,1),(78,1),(140,1),(144,1)}
       107:{1,3,5,6}:{(75,1),(76,1),(79,1),(137,1),(141,1),(144,1),(145,1),(236,1)}
       108:{1,2,6}:{(76,1),(77,1)}
       109:{1,2,3,5,7}:{(77,1),(81,1),(139,1),(146,1),(147,1),(150,1),(238,1),(527,1),(529,1),(549,1)}
       110:{2,3,4,5}:{(78,1),(143,1),(148,1),(240,1),(419,1),(429,1)}
       111:{1,4,5}:{(78,1),(79,1),(144,1)}
       112:{1,2,5}:{(79,1),(80,1)}
       113:{1,2,3,6}:{(80,1),(81,1),(150,1),(236,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(151,1),(152,1),(249,1),(280,1),(541,1)}
       115:{1,3,4,7}:{(83,1),(86,1),(152,1),(153,1),(507,1)}
       116:{1,2,4,6,7}:{(84,1),(85,1),(87,1),(154,1),(155,1),(161,1),(356,1),(366,1),(447,1)}
       117:{1,2,4,5,6}:{(85,1),(88,1),(151,1),(154,1),(156,1),(163,1),(181,1),(249,1),(259,1),(268,1),(280,1),(362,1),(443,1)}
       118:{1,3,6}:{(85,1),(86,1),(157,1)}
       119:{2,3,5,7}:{(86,1),(90,1),(153,1),(157,1),(158,1),(243,1)}
       120:{1,4,5,7}:{(87,1),(88,1),(91,1),(160,1),(177,1)}
       121:{1,3,4,6,7}:{(87,1),(89,1),(92,1),(155,1),(160,1),(161,1),(246,1)}
       122:{1,3,5,6}:{(88,1),(89,1),(93,1),(160,1),(163,1)}
       123:{2,4,6}:{(89,1),(90,1),(157,1),(163,1),(164,1)}
       124:{1,4,5,7}:{(90,1),(158,1),(164,1),(256,1),(344,1),(348,1)}
       125:{2,4,5,6,7}:{(91,1),(96,1),(159,1),(166,1),(175,1),(254,1),(263,1),(366,1),(459,1)}
       126:{3,5,7}:{(91,1),(92,1),(93,1)}
       127:{2,3,4,6,7}:{(92,1),(94,1),(98,1),(161,1),(168,1),(169,1),(184,1),(263,1),(267,1),(271,1),(347,1),(355,1),(369,1),(458,1),(463,1),(515,1)}
       128:{3,4,5,6}:{(93,1),(167,1),(170,1),(371,1),(522,1)}
       129:{2,3,5,6}:{(93,1),(94,1),(100,1),(163,1),(168,1),(170,1),(171,1),(522,1),(524,1),(547,1)}
       130:{1,3,4,6}:{(94,1),(95,1),(101,1),(164,1),(171,1),(172,1),(182,1),(261,1),(280,1),(364,1),(371,1),(525,1),(548,1)}
       131:{2,4,5,7}:{(95,1),(172,1),(173,1),(192,1),(266,1),(282,1),(369,1),(372,1),(436,1),(439,1)}
       132:{1,3,5,6,7}:{(96,1),(97,1),(166,1),(174,1),(175,1),(464,1)}
       133:{1,3,4,5,7}:{(97,1),(99,1),(103,1),(167,1),(174,1),(176,1),(265,1),(274,1),(368,1),(378,1),(464,1)}
       134:{2,5,7}:{(97,1),(98,1),(100,1),(177,1)}
       135:{1,4,6,7}:{(98,1),(101,1),(105,1),(177,1),(185,1)}
       136:{2,4,5,6}:{(99,1),(100,1),(106,1),(176,1),(179,1),(180,1),(278,1),(382,1),(524,1)}
       137:{1,5,6}:{(100,1),(101,1),(177,1)}
       138:{1,2,4,6}:{(101,1),(102,1),(108,1),(172,1),(181,1),(182,1),(280,1),(548,1),(552,1)}
       139:{1,3,5,7}:{(102,1),(173,1),(182,1),(183,1),(193,1),(281,1),(283,1),(505,1),(507,1)}
       140:{2,4,7}:{(103,1),(104,1),(106,1),(185,1)}
       141:{1,3,5,7}:{(104,1),(105,1),(107,1),(177,1),(185,1),(186,1),(283,1)}
       142:{1,2,6,7}:{(105,1),(108,1),(186,1),(373,1)}
       143:{2,3,4,6}:{(106,1),(110,1),(179,1),(184,1),(188,1),(287,1),(371,1),(382,1)}
       144:{1,4,6}:{(106,1),(107,1),(111,1),(185,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(112,1),(186,1),(189,1),(278,1)}
       146:{1,2,3,6}:{(108,1),(109,1),(182,1),(191,1),(552,1)}
       147:{1,2,4,7}:{(109,1),(183,1),(191,1),(194,1),(541,1)}
       148:{1,3,4,5}:{(110,1),(111,1),(188,1),(192,1),(193,1),(290,1),(469,1)}
       149:{1,2,4,5}:{(111,1),(112,1),(189,1),(192,1),(193,1),(194,1)}
       150:{1,2,3,5}:{(112,1),(113,1),(193,1),(194,1)}
       151:{1,2,4,5}:{(114,1),(195,1),(238,1),(292,1),(332,1)}
       152:{1,3,4,6}:{(114,1),(115,1),(118,1),(195,1),(196,1),(482,1),(528,1)}
       153:{2,3,4,7}:{(115,1),(119,1),(196,1),(197,1),(296,1),(478,1)}
       154:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(198,1),(206,1),(225,1),(296,1),(307,1),(316,1),(327,1),(406,1),(477,1)}
       155:{1,3,6,7}:{(116,1),(118,1),(198,1),(199,1),(414,1)}
       156:{1,3,5,6}:{(117,1),(118,1),(195,1),(198,1),(200,1),(201,1),(319,1),(482,1)}
       157:{2,3,6}:{(118,1),(119,1),(123,1),(202,1)}
       158:{1,3,5,7}:{(119,1),(124,1),(197,1),(202,1),(203,1),(293,1)}
       159:{1,4,5,6,7}:{(120,1),(125,1),(204,1),(222,1),(314,1),(488,1)}
       160:{1,3,5,7}:{(120,1),(121,1),(122,1),(126,1),(206,1)}
       161:{2,4,6,7}:{(121,1),(123,1),(199,1),(206,1),(207,1),(296,1)}
       162:{1,3,4,5,6}:{(122,1),(128,1),(200,1),(205,1),(208,1),(217,1),(310,1),(319,1),(412,1),(537,1)}
       163:{2,5,6}:{(122,1),(123,1),(206,1),(209,1)}
       164:{1,4,6}:{(123,1),(124,1),(202,1),(209,1)}
       165:{1,2,4,5,7}:{(124,1),(131,1),(203,1),(210,1),(211,1),(239,1),(303,1),(308,1),(333,1),(393,1),(396,1),(402,1),(408,1),(413,1),(501,1),(503,1)}
       166:{3,5,6,7}:{(125,1),(126,1),(212,1),(414,1),(495,1)}
       167:{3,4,5,7}:{(126,1),(128,1),(212,1),(214,1),(416,1),(495,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(206,1),(214,1),(215,1),(495,1),(499,1),(536,1)}
       169:{1,3,4,6,7}:{(127,1),(130,1),(135,1),(207,1),(215,1),(216,1),(226,1),(231,1),(309,1),(314,1),(322,1),(327,1),(395,1),(403,1),(408,1),(414,1),(416,1),(498,1),(535,1)}
       170:{2,4,5,6}:{(128,1),(129,1),(214,1),(217,1),(320,1)}
       171:{1,3,5,6}:{(129,1),(130,1),(137,1),(209,1),(215,1),(217,1),(218,1),(319,1),(540,1),(551,1)}
       172:{2,4,6}:{(130,1),(131,1),(218,1),(219,1)}
       173:{2,3,5,7}:{(131,1),(139,1),(211,1),(219,1),(220,1),(240,1),(321,1),(334,1),(475,1),(478,1)}
       174:{1,3,4,6,7}:{(132,1),(133,1),(212,1),(221,1),(314,1),(322,1),(414,1)}
       175:{2,5,6,7}:{(132,1),(134,1),(221,1),(222,1),(499,1)}
       176:{2,4,5,7}:{(133,1),(134,1),(136,1),(140,1),(221,1),(223,1),(224,1),(325,1),(425,1),(499,1)}
       177:{1,5,7}:{(134,1),(135,1),(137,1)}
       178:{1,2,4,6,7}:{(135,1),(138,1),(142,1),(216,1),(225,1),(226,1),(232,1),(327,1),(477,1),(485,1),(535,1)}
       179:{2,3,5,6}:{(136,1),(143,1),(223,1),(227,1),(319,1)}
       180:{1,4,5,6}:{(136,1),(137,1),(144,1),(224,1),(227,1),(428,1),(540,1)}
       181:{1,2,5,6}:{(137,1),(138,1),(218,1),(225,1),(229,1),(238,1),(551,1)}
       182:{1,3,6}:{(138,1),(139,1),(219,1)}
       183:{1,3,4,7}:{(139,1),(147,1),(220,1),(230,1),(241,1),(327,1),(528,1)}
       184:{2,3,4,7}:{(140,1),(143,1),(223,1),(231,1),(334,1),(416,1),(425,1)}
       185:{1,4,7}:{(140,1),(141,1),(144,1)}
       186:{1,2,5,7}:{(141,1),(142,1),(145,1),(232,1),(325,1)}
       187:{1,2,3,6,7}:{(142,1),(146,1),(226,1),(233,1),(234,1),(421,1),(433,1),(529,1)}
       188:{1,3,4,6}:{(143,1),(144,1),(148,1),(227,1),(231,1),(235,1),(236,1),(338,1),(428,1)}
       189:{1,2,4,6}:{(144,1),(145,1),(149,1),(232,1),(235,1),(236,1)}
       190:{1,2,3,5,6}:{(145,1),(146,1),(150,1),(229,1),(233,1),(236,1),(237,1),(238,1),(330,1),(337,1),(340,1),(433,1)}
       191:{1,2,4,6}:{(146,1),(147,1),(230,1),(238,1)}
       192:{2,4,5}:{(148,1),(235,1),(240,1)}
       193:{1,3,5}:{(149,1),(236,1),(240,1),(241,1)}
       194:{1,2,4}:{(150,1),(241,1)}
       195:{1,3,5}:{(151,1),(152,1),(243,1)}
       196:{2,3,4,6}:{(152,1),(153,1),(157,1),(243,1),(244,1),(249,1),(444,1),(506,1)}
       197:{1,3,4,7}:{(153,1),(158,1),(244,1),(245,1),(348,1),(440,1)}
       198:{1,3,5,7}:{(154,1),(155,1),(156,1),(246,1),(247,1),(368,1),(507,1)}
       199:{2,3,6,7}:{(155,1),(157,1),(161,1),(247,1),(248,1),(447,1)}
       200:{1,3,4,6}:{(156,1),(242,1),(246,1),(249,1),(280,1),(371,1)}
       201:{2,3,5,6}:{(156,1),(157,1),(163,1),(243,1),(247,1),(249,1),(250,1),(362,1),(444,1)}
       202:{1,3,6}:{(157,1),(158,1),(164,1),(251,1)}
       203:{1,2,5,7}:{(158,1),(245,1),(251,1),(345,1)}
       204:{1,3,5,6,7}:{(159,1),(160,1),(166,1),(253,1),(254,1),(516,1)}
       205:{1,3,4,5,7}:{(160,1),(162,1),(167,1),(246,1),(253,1),(255,1),(265,1),(358,1),(368,1),(452,1),(516,1)}
       206:{2,5,7}:{(160,1),(161,1),(163,1),(256,1)}
       207:{1,4,6,7}:{(161,1),(164,1),(248,1),(256,1),(348,1)}
       208:{2,4,5,6}:{(162,1),(163,1),(249,1),(255,1),(258,1),(259,1),(362,1),(456,1),(547,1)}
       209:{1,5,6}:{(163,1),(164,1),(256,1)}
       210:{1,2,4,6}:{(164,1),(165,1),(172,1),(251,1),(260,1),(261,1),(364,1),(525,1),(526,1)}
       211:{1,3,5,7}:{(165,1),(173,1),(261,1),(262,1),(290,1),(365,1),(384,1),(437,1),(440,1)}
       212:{3,4,6,7}:{(166,1),(167,1),(263,1)}
       213:{2,3,5,6,7}:{(166,1),(168,1),(175,1),(254,1),(263,1),(264,1),(271,1),(355,1)}
       214:{2,4,5,7}:{(167,1),(168,1),(170,1),(263,1),(265,1),(369,1)}
       215:{1,3,5,7}:{(168,1),(169,1),(171,1),(177,1),(256,1),(265,1),(266,1),(368,1),(523,1),(546,1)}
       216:{2,4,6,7}:{(169,1),(172,1),(266,1),(267,1),(282,1),(369,1),(373,1),(439,1),(447,1)}
       217:{1,4,5,6}:{(170,1),(171,1),(265,1),(268,1),(280,1),(364,1)}
       218:{2,5,6}:{(171,1),(172,1),(266,1)}
       219:{2,3,6}:{(172,1),(173,1),(182,1),(261,1)}
       220:{2,3,4,7}:{(173,1),(183,1),(262,1),(270,1),(291,1),(369,1),(506,1)}
       221:{2,4,6,7}:{(174,1),(175,1),(176,1),(271,1),(272,1),(373,1)}
       222:{1,5,6,7}:{(175,1),(177,1),(272,1),(523,1)}
       223:{2,3,5,7}:{(176,1),(179,1),(184,1),(271,1),(274,1),(368,1)}
       224:{1,4,5,7}:{(176,1),(177,1),(180,1),(185,1),(272,1),(274,1),(466,1),(523,1)}
       225:{1,2,5,7}:{(177,1),(178,1),(181,1),(266,1),(276,1),(546,1)}
       226:{1,3,6,7}:{(178,1),(182,1),(267,1),(276,1),(283,1),(507,1)}
       227:{1,3,5,6}:{(179,1),(180,1),(188,1),(274,1),(278,1)}
       228:{1,2,4,5,6}:{(180,1),(181,1),(189,1),(268,1),(275,1),(278,1),(279,1),(280,1),(289,1),(382,1),(387,1),(465,1),(524,1)}
       229:{1,3,5,6}:{(181,1),(182,1),(269,1),(276,1),(280,1),(281,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(191,1),(270,1),(280,1),(281,1)}
       231:{1,3,4,7}:{(184,1),(185,1),(188,1),(274,1),(282,1),(283,1),(384,1),(466,1)}
       232:{1,2,4,7}:{(185,1),(186,1),(189,1),(282,1),(283,1)}
       233:{1,2,3,5,7}:{(186,1),(187,1),(190,1),(276,1),(283,1),(284,1),(285,1),(377,1),(386,1)}
       234:{1,2,4,6,7}:{(187,1),(191,1),(277,1),(284,1),(285,1),(387,1),(463,1),(542,1),(552,1)}
       235:{2,4,6}:{(188,1),(192,1),(278,1),(282,1),(287,1)}
       236:{1,3,6}:{(189,1),(193,1),(283,1),(287,1)}
       237:{1,2,4,6}:{(190,1),(194,1),(280,1),(284,1),(288,1),(289,1),(382,1)}
       238:{1,2,5}:{(191,1),(281,1)}
       239:{1,2,4,5}:{(192,1),(286,1),(290,1),(391,1),(469,1),(473,1)}
       240:{2,3,5}:{(192,1),(193,1),(287,1),(290,1),(291,1)}
       241:{1,3,4}:{(193,1),(194,1),(291,1)}
       242:{1,3,4,5}:{(195,1),(200,1),(292,1),(332,1),(419,1)}
       243:{2,3,5}:{(195,1),(196,1),(292,1),(293,1)}
       244:{1,3,4,6}:{(196,1),(197,1),(202,1),(293,1),(294,1),(300,1),(400,1),(476,1)}
       245:{1,2,4,7}:{(197,1),(203,1),(294,1),(295,1)}
       246:{1,3,4,7}:{(198,1),(200,1),(296,1),(327,1),(416,1)}
       247:{2,3,5,7}:{(198,1),(199,1),(201,1),(206,1),(296,1),(297,1),(406,1),(478,1)}
       248:{1,3,6,7}:{(199,1),(202,1),(207,1),(297,1),(298,1)}
       249:{2,4,6}:{(200,1),(201,1),(292,1),(296,1),(300,1)}
       250:{1,3,5,6}:{(201,1),(202,1),(209,1),(293,1),(297,1),(300,1),(301,1),(400,1)}
       251:{1,2,6}:{(202,1),(203,1)}
       252:{1,2,3,5,7}:{(203,1),(211,1),(295,1),(302,1),(303,1),(341,1),(394,1),(402,1),(430,1),(503,1)}
       253:{1,3,4,6,7}:{(204,1),(205,1),(212,1),(304,1),(314,1),(403,1),(414,1)}
       254:{2,5,6,7}:{(204,1),(206,1),(304,1),(305,1),(536,1)}
       255:{2,4,5,7}:{(205,1),(206,1),(208,1),(296,1),(304,1),(306,1),(307,1),(406,1),(490,1),(536,1)}
       256:{1,5,7}:{(206,1),(207,1),(209,1)}
       257:{1,2,4,6,7}:{(207,1),(210,1),(216,1),(298,1),(308,1),(309,1),(333,1),(396,1),(408,1),(420,1),(498,1)}
       258:{2,3,5,6}:{(208,1),(299,1),(306,1),(310,1),(319,1)}
       259:{1,4,5,6}:{(208,1),(209,1),(300,1),(307,1),(310,1),(493,1),(551,1)}
       260:{1,2,5,6}:{(209,1),(210,1),(218,1),(308,1),(312,1),(402,1),(540,1)}
       261:{1,3,6}:{(210,1),(211,1),(219,1)}
       262:{1,3,4,7}:{(211,1),(220,1),(303,1),(313,1),(342,1),(408,1),(476,1)}
       263:{2,4,6,7}:{(212,1),(213,1),(214,1),(314,1)}
       264:{1,3,5,6,7}:{(213,1),(215,1),(222,1),(305,1),(314,1),(315,1),(322,1),(403,1),(414,1)}
       265:{1,4,5,7}:{(214,1),(215,1),(217,1),(314,1),(316,1),(327,1),(408,1)}
       266:{2,5,7}:{(215,1),(216,1),(218,1)}
       267:{2,3,6,7}:{(216,1),(219,1),(226,1),(309,1),(317,1),(334,1),(414,1),(478,1)}
       268:{2,4,5,6}:{(217,1),(218,1),(316,1),(319,1),(320,1)}
       269:{2,3,5,6}:{(218,1),(219,1),(229,1),(312,1),(317,1),(319,1),(320,1),(321,1)}
       270:{2,3,4,6}:{(219,1),(220,1),(230,1),(313,1),(320,1),(321,1)}
       271:{2,3,6,7}:{(221,1),(223,1),(322,1),(414,1)}
       272:{1,4,6,7}:{(221,1),(222,1),(224,1),(322,1)}
       273:{1,2,5,6,7}:{(222,1),(225,1),(315,1),(323,1),(324,1),(337,1),(485,1),(499,1)}
       274:{1,3,5,7}:{(223,1),(224,1),(227,1),(231,1),(322,1),(325,1)}
       275:{1,2,4,5,7}:{(224,1),(225,1),(228,1),(232,1),(316,1),(323,1),(325,1),(326,1),(327,1),(423,1),(425,1),(499,1)}
       276:{1,3,5,7}:{(225,1),(226,1),(229,1),(317,1),(327,1)}
       277:{1,3,4,6,7}:{(226,1),(230,1),(234,1),(318,1),(327,1),(328,1),(335,1),(427,1),(433,1),(530,1),(535,1),(550,1)}
       278:{2,5,6}:{(227,1),(235,1),(325,1)}
       279:{1,3,5,6}:{(228,1),(236,1),(319,1),(326,1),(330,1),(331,1),(340,1),(433,1)}
       280:{1,4,6}:{(229,1),(320,1),(327,1),(332,1)}
       281:{1,3,5}:{(230,1),(238,1),(321,1),(332,1)}
       282:{2,4,7}:{(231,1),(235,1),(325,1),(334,1)}
       283:{1,3,7}:{(232,1),(236,1),(334,1)}
       284:{1,2,4,7}:{(233,1),(237,1),(327,1),(335,1),(425,1)}
       285:{1,2,5,7}:{(234,1),(238,1),(328,1),(337,1),(499,1)}
       286:{1,2,4,6}:{(235,1),(239,1),(329,1),(333,1),(338,1),(428,1)}
       287:{2,3,6}:{(235,1),(236,1),(240,1),(334,1),(338,1)}
       288:{1,3,4,6}:{(236,1),(237,1),(241,1),(335,1),(339,1),(340,1),(433,1)}
       289:{1,2,4,5}:{(237,1),(238,1),(332,1),(340,1),(429,1)}
       290:{1,3,5}:{(239,1),(240,1),(338,1),(342,1)}
       291:{2,3,4}:{(240,1),(241,1),(342,1)}
       292:{2,4,5}:{(242,1),(243,1),(249,1),(344,1)}
       293:{1,3,5}:{(243,1),(244,1),(344,1),(345,1)}
       294:{1,2,4,6}:{(244,1),(245,1),(251,1),(345,1),(346,1),(438,1)}
       295:{1,2,3,7}:{(245,1),(346,1),(440,1)}
       296:{2,4,7}:{(246,1),(247,1),(249,1),(348,1)}
       297:{1,3,5,7}:{(247,1),(248,1),(250,1),(256,1),(348,1),(349,1),(440,1)}
       298:{1,2,6,7}:{(248,1),(251,1),(349,1),(447,1)}
       299:{2,3,4,6}:{(249,1),(258,1),(343,1),(347,1),(351,1),(371,1),(444,1),(456,1)}
       300:{1,4,6}:{(249,1),(250,1),(344,1),(348,1)}
       301:{1,2,5,6}:{(250,1),(251,1),(345,1),(349,1),(352,1),(362,1)}
       302:{1,2,3,6}:{(251,1),(252,1),(261,1),(354,1),(526,1)}
       303:{1,2,4,7}:{(252,1),(262,1),(354,1),(391,1),(438,1)}
       304:{2,4,6,7}:{(253,1),(254,1),(255,1),(355,1),(356,1),(447,1)}
       305:{1,5,6,7}:{(254,1),(256,1),(356,1),(546,1)}
       306:{2,3,5,7}:{(255,1),(258,1),(347,1),(355,1),(358,1),(368,1)}
       307:{1,4,5,7}:{(255,1),(256,1),(259,1),(348,1),(356,1),(358,1),(518,1),(546,1)}
       308:{1,2,5,7}:{(256,1),(257,1),(260,1),(266,1),(360,1),(523,1)}
       309:{1,3,6,7}:{(257,1),(261,1),(267,1),(360,1),(384,1),(440,1)}
       310:{1,3,5,6}:{(258,1),(259,1),(351,1),(358,1),(362,1)}
       311:{1,2,4,5,6}:{(259,1),(260,1),(268,1),(352,1),(359,1),(362,1),(363,1),(364,1),(446,1),(456,1),(510,1),(517,1),(547,1)}
       312:{1,3,5,6}:{(260,1),(261,1),(269,1),(360,1),(364,1),(365,1)}
       313:{1,3,4,6}:{(261,1),(262,1),(270,1),(354,1),(364,1),(365,1)}
       314:{1,4,6,7}:{(263,1),(264,1),(265,1),(366,1)}
       315:{2,5,6,7}:{(264,1),(266,1),(366,1),(373,1),(447,1)}
       316:{2,4,5,7}:{(265,1),(266,1),(268,1),(366,1),(368,1),(369,1)}
       317:{2,3,5,7}:{(266,1),(267,1),(269,1),(276,1),(360,1),(368,1),(369,1)}
       318:{2,3,4,6,7}:{(267,1),(270,1),(277,1),(361,1),(369,1),(370,1),(385,1),(458,1),(461,1),(463,1),(472,1),(508,1),(515,1),(544,1)}
       319:{3,5,6}:{(268,1),(368,1),(371,1)}
       320:{2,4,6}:{(269,1),(280,1),(364,1),(369,1),(371,1),(372,1)}
       321:{2,3,5}:{(270,1),(281,1),(365,1),(372,1)}
       322:{1,3,6,7}:{(271,1),(272,1),(274,1),(373,1)}
       323:{1,2,4,6,7}:{(272,1),(273,1),(275,1),(366,1),(373,1),(374,1),(375,1),(387,1),(463,1)}
       324:{1,3,5,6,7}:{(273,1),(276,1),(367,1),(374,1),(375,1),(380,1),(464,1),(514,1),(546,1)}
       325:{2,5,7}:{(274,1),(278,1),(282,1),(373,1)}
       326:{1,3,5,7}:{(275,1),(279,1),(283,1),(368,1),(374,1),(377,1),(378,1)}
       327:{1,4,7}:{(276,1),(280,1),(369,1)}
       328:{1,3,5,7}:{(277,1),(281,1),(285,1),(370,1),(379,1),(380,1),(546,1)}
       329:{1,2,5,6}:{(278,1),(286,1),(376,1),(381,1),(473,1),(526,1)}
       330:{2,3,5,6}:{(278,1),(279,1),(287,1),(377,1),(381,1),(382,1),(390,1),(472,1),(524,1)}
       331:{1,3,4,6}:{(279,1),(280,1),(371,1),(378,1),(382,1),(383,1)}
       332:{1,4,5}:{(280,1),(281,1),(372,1)}
       333:{1,2,4,7}:{(282,1),(286,1),(376,1),(384,1),(466,1)}
       334:{2,3,7}:{(282,1),(283,1),(287,1),(384,1)}
       335:{1,3,4,7}:{(283,1),(284,1),(288,1),(385,1),(386,1)}
       336:{1,2,4,5,7}:{(284,1),(285,1),(289,1),(379,1),(386,1),(387,1),(467,1)}
       337:{1,2,5,6}:{(285,1),(380,1),(387,1),(524,1),(552,1)}
       338:{1,3,6}:{(286,1),(287,1),(290,1),(384,1)}
       339:{2,3,4,6}:{(287,1),(288,1),(291,1),(382,1),(385,1),(389,1),(390,1),(472,1)}
       340:{1,3,5}:{(288,1),(289,1),(390,1)}
       341:{1,2,3,5}:{(290,1),(388,1),(391,1),(473,1)}
       342:{1,3,4}:{(290,1),(291,1),(391,1)}
       343:{2,3,4,5}:{(292,1),(299,1),(392,1),(419,1),(475,1),(494,1)}
       344:{1,4,5}:{(292,1),(293,1),(300,1)}
       345:{1,2,5}:{(293,1),(294,1)}
       346:{1,2,3,6}:{(294,1),(295,1),(394,1),(400,1)}
       347:{2,3,4,7}:{(296,1),(299,1),(306,1),(395,1),(416,1),(478,1),(490,1)}
       348:{1,4,7}:{(296,1),(297,1),(300,1)}
       349:{1,2,5,7}:{(297,1),(298,1),(301,1),(396,1),(406,1)}
       350:{1,2,3,6,7}:{(298,1),(302,1),(309,1),(397,1),(398,1),(430,1),(486,1),(532,1)}
       351:{1,3,4,6}:{(299,1),(300,1),(310,1),(392,1),(395,1),(399,1),(400,1),(482,1),(493,1)}
       352:{1,2,4,6}:{(300,1),(301,1),(393,1),(396,1),(399,1),(400,1)}
       353:{1,2,3,5,6}:{(301,1),(302,1),(312,1),(394,1),(397,1),(400,1),(401,1),(402,1),(411,1),(481,1),(484,1),(532,1)}
       354:{1,2,4,6}:{(302,1),(303,1),(313,1),(402,1)}
       355:{2,3,6,7}:{(304,1),(306,1),(403,1),(414,1)}
       356:{1,4,6,7}:{(304,1),(305,1),(307,1),(403,1)}
       357:{1,2,5,6,7}:{(305,1),(308,1),(315,1),(404,1),(405,1),(420,1),(481,1),(536,1)}
       358:{1,3,5,7}:{(306,1),(307,1),(310,1),(395,1),(403,1),(406,1)}
       359:{1,2,4,5,7}:{(307,1),(308,1),(311,1),(316,1),(396,1),(404,1),(406,1),(407,1),(408,1),(488,1),(490,1),(536,1)}
       360:{1,3,5,7}:{(308,1),(309,1),(312,1),(317,1),(408,1)}
       361:{1,3,4,6,7}:{(309,1),(313,1),(318,1),(398,1),(408,1),(409,1),(431,1),(479,1),(492,1),(498,1),(504,1),(532,1)}
       362:{2,5,6}:{(310,1),(399,1),(406,1)}
       363:{1,3,5,6}:{(311,1),(319,1),(400,1),(407,1),(411,1),(412,1),(484,1),(532,1)}
       364:{1,4,6}:{(312,1),(320,1),(408,1),(413,1)}
       365:{1,3,5}:{(313,1),(321,1),(402,1),(413,1)}
       366:{2,4,6,7}:{(314,1),(315,1),(316,1),(414,1)}
       367:{2,3,5,6,7}:{(315,1),(317,1),(324,1),(405,1),(414,1),(415,1),(418,1),(421,1),(486,1),(495,1),(499,1),(536,1)}
       368:{3,5,7}:{(316,1),(319,1),(414,1),(416,1)}
       369:{2,4,7}:{(317,1),(320,1),(327,1),(408,1),(416,1)}
       370:{2,3,5,7}:{(318,1),(321,1),(328,1),(409,1),(417,1),(418,1),(495,1),(499,1),(536,1)}
       371:{3,4,6}:{(319,1),(320,1),(416,1),(419,1)}
       372:{2,4,5}:{(320,1),(321,1),(332,1),(413,1),(419,1)}
       373:{2,6,7}:{(322,1),(325,1)}
       374:{1,3,6,7}:{(323,1),(326,1),(414,1),(421,1),(433,1)}
       375:{1,4,6,7}:{(324,1),(327,1),(415,1),(423,1),(427,1)}
       376:{1,2,5,7}:{(325,1),(329,1),(333,1),(420,1),(424,1)}
       377:{2,3,5,7}:{(325,1),(326,1),(330,1),(334,1),(421,1),(424,1),(425,1),(499,1)}
       378:{1,3,4,7}:{(326,1),(327,1),(331,1),(416,1),(425,1)}
       379:{1,4,5,7}:{(327,1),(328,1),(332,1),(417,1),(427,1)}
       380:{1,3,5,6}:{(328,1),(337,1),(418,1),(427,1),(433,1),(550,1),(551,1)}
       381:{1,3,5,6}:{(329,1),(330,1),(338,1),(424,1),(428,1),(435,1),(504,1),(540,1)}
       382:{2,4,6}:{(330,1),(331,1),(425,1),(428,1),(429,1)}
       383:{1,3,4,5}:{(331,1),(332,1),(340,1),(419,1),(429,1)}
       384:{1,3,7}:{(333,1),(334,1),(338,1)}
       385:{2,3,4,7}:{(334,1),(335,1),(339,1),(425,1),(431,1),(432,1)}
       386:{1,3,5,7}:{(335,1),(336,1),(340,1),(432,1),(433,1)}
       387:{1,2,4,6}:{(336,1),(337,1),(427,1),(433,1),(502,1)}
       388:{1,2,3,6}:{(338,1),(341,1),(430,1),(434,1)}
       389:{1,3,4,6}:{(338,1),(339,1),(342,1),(428,1),(431,1),(434,1),(435,1),(504,1)}
       390:{2,3,5}:{(339,1),(340,1),(429,1),(435,1)}
       391:{1,2,4}:{(341,1),(342,1)}
       392:{1,3,4,5}:{(343,1),(344,1),(351,1),(436,1),(437,1),(505,1),(521,1)}
       393:{1,2,4,5}:{(344,1),(345,1),(352,1),(436,1),(437,1),(438,1)}
       394:{1,2,3,5}:{(345,1),(346,1),(437,1),(438,1)}
       395:{1,3,4,7}:{(347,1),(348,1),(351,1),(358,1),(439,1),(440,1),(507,1),(518,1)}
       396:{1,2,4,7}:{(348,1),(349,1),(352,1),(439,1),(440,1)}
       397:{1,2,3,5,7}:{(349,1),(350,1),(353,1),(360,1),(440,1),(441,1),(442,1),(451,1),(509,1)}
       398:{1,2,4,6,7}:{(350,1),(354,1),(361,1),(441,1),(442,1),(470,1),(510,1),(515,1),(526,1)}
       399:{2,4,6}:{(351,1),(362,1),(436,1),(439,1),(444,1)}
       400:{1,3,6}:{(352,1),(437,1),(440,1),(444,1)}
       401:{1,2,4,6}:{(353,1),(364,1),(438,1),(441,1),(445,1),(446,1),(456,1)}
       402:{1,2,5}:{(354,1),(365,1)}
       403:{1,3,6,7}:{(355,1),(356,1),(358,1),(447,1)}
       404:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(366,1),(447,1),(448,1),(449,1),(510,1),(515,1)}
       405:{1,3,5,6,7}:{(357,1),(360,1),(367,1),(448,1),(449,1),(454,1),(462,1),(516,1),(523,1)}
       406:{2,5,7}:{(358,1),(362,1),(439,1),(447,1)}
       407:{1,3,5,7}:{(359,1),(363,1),(368,1),(440,1),(448,1),(451,1),(452,1)}
       408:{1,4,7}:{(360,1),(364,1),(369,1)}
       409:{1,3,5,7}:{(361,1),(365,1),(370,1),(442,1),(453,1),(454,1),(523,1)}
       410:{1,2,5,6}:{(362,1),(443,1),(450,1),(455,1),(545,1),(552,1)}
       411:{2,3,5,6}:{(362,1),(363,1),(444,1),(451,1),(455,1),(456,1),(513,1),(544,1),(547,1)}
       412:{1,3,4,6}:{(363,1),(364,1),(371,1),(452,1),(456,1),(457,1)}
       413:{1,4,5}:{(364,1),(365,1),(372,1)}
       414:{3,6,7}:{(366,1),(368,1)}
       415:{2,4,6,7}:{(367,1),(369,1),(375,1),(449,1),(458,1),(459,1),(461,1)}
       416:{3,4,7}:{(368,1),(369,1),(371,1)}
       417:{2,4,5,7}:{(369,1),(370,1),(372,1),(379,1),(453,1),(460,1),(461,1)}
       418:{2,3,5,6}:{(370,1),(380,1),(454,1),(461,1),(472,1),(522,1),(524,1),(544,1),(547,1)}
       419:{3,4,5}:{(371,1),(372,1)}
       420:{1,2,6,7}:{(373,1),(376,1),(462,1),(526,1)}
       421:{2,3,6,7}:{(373,1),(374,1),(377,1),(462,1),(463,1),(472,1)}
       422:{1,3,4,6,7}:{(374,1),(375,1),(378,1),(458,1),(463,1),(464,1),(468,1)}
       423:{1,4,5,7}:{(375,1),(459,1),(464,1),(465,1),(546,1)}
       424:{1,3,5,7}:{(376,1),(377,1),(381,1),(384,1),(462,1),(466,1),(523,1)}
       425:{2,4,7}:{(377,1),(378,1),(382,1),(466,1)}
       426:{1,3,4,5,7}:{(378,1),(379,1),(383,1),(386,1),(460,1),(464,1),(467,1),(468,1)}
       427:{1,4,6}:{(379,1),(380,1),(461,1)}
       428:{1,4,6}:{(381,1),(382,1),(466,1),(469,1)}
       429:{2,4,5}:{(382,1),(383,1),(390,1),(469,1)}
       430:{1,2,3,7}:{(384,1),(388,1),(470,1)}
       431:{1,3,4,7}:{(384,1),(385,1),(389,1),(466,1),(470,1),(471,1)}
       432:{2,3,5,7}:{(385,1),(386,1),(390,1),(467,1),(471,1),(472,1)}
       433:{1,3,6}:{(386,1),(387,1),(472,1)}
       434:{1,2,4,6}:{(388,1),(389,1),(391,1),(470,1),(473,1),(526,1)}
       435:{1,3,5}:{(389,1),(390,1),(469,1),(473,1)}
       436:{2,4,5}:{(392,1),(399,1),(475,1)}
       437:{1,3,5}:{(393,1),(400,1),(475,1),(476,1)}
       438:{1,2,4}:{(394,1),(476,1)}
       439:{2,4,7}:{(395,1),(399,1),(406,1),(478,1)}
       440:{1,3,7}:{(396,1),(400,1),(478,1)}
       441:{1,2,4,7}:{(397,1),(401,1),(408,1),(479,1),(490,1)}
       442:{1,2,5,7}:{(398,1),(402,1),(409,1),(481,1),(536,1)}
       443:{1,2,4,6}:{(399,1),(410,1),(474,1),(477,1),(482,1),(493,1)}
       444:{2,3,6}:{(399,1),(400,1),(475,1),(478,1),(482,1)}
       445:{1,3,4,6}:{(400,1),(401,1),(476,1),(479,1),(483,1),(484,1),(532,1)}
       446:{1,2,4,5}:{(401,1),(402,1),(413,1),(484,1),(494,1)}
       447:{2,6,7}:{(403,1),(406,1)}
       448:{1,3,6,7}:{(404,1),(407,1),(414,1),(486,1),(532,1)}
       449:{1,4,6,7}:{(405,1),(408,1),(415,1),(488,1),(492,1)}
       450:{1,2,5,7}:{(406,1),(410,1),(477,1),(485,1),(489,1)}
       451:{2,3,5,7}:{(406,1),(407,1),(411,1),(478,1),(486,1),(489,1),(490,1),(536,1)}
       452:{1,3,4,7}:{(407,1),(408,1),(412,1),(416,1),(490,1)}
       453:{1,4,5,7}:{(408,1),(409,1),(413,1),(417,1),(492,1)}
       454:{1,3,5,6}:{(409,1),(418,1),(481,1),(492,1),(504,1),(532,1),(540,1)}
       455:{1,3,5,6}:{(410,1),(411,1),(482,1),(489,1),(493,1),(534,1),(550,1),(551,1)}
       456:{2,4,6}:{(411,1),(412,1),(490,1),(493,1),(494,1)}
       457:{1,3,4,5}:{(412,1),(413,1),(419,1),(484,1),(494,1)}
       458:{3,4,6,7}:{(414,1),(415,1),(416,1),(495,1),(497,1)}
       459:{2,4,5,7}:{(415,1),(423,1),(488,1),(495,1),(496,1),(499,1),(536,1)}
       460:{3,4,5,7}:{(416,1),(417,1),(419,1),(495,1),(497,1)}
       461:{2,4,6}:{(417,1),(418,1),(427,1),(492,1),(497,1)}
       462:{1,3,6,7}:{(420,1),(421,1),(424,1),(498,1),(504,1)}
       463:{2,4,6,7}:{(421,1),(422,1),(425,1),(498,1),(499,1),(502,1)}
       464:{1,3,5,7}:{(422,1),(423,1),(495,1),(499,1),(500,1)}
       465:{1,4,5,6}:{(423,1),(427,1),(496,1),(500,1),(551,1)}
       466:{1,4,7}:{(424,1),(425,1),(428,1)}
       467:{2,4,5,7}:{(425,1),(426,1),(429,1),(432,1),(499,1),(501,1),(502,1)}
       468:{1,3,4,6}:{(426,1),(427,1),(433,1),(497,1),(500,1),(502,1)}
       469:{1,4,5}:{(428,1),(429,1),(435,1)}
       470:{1,2,4,7}:{(430,1),(431,1),(434,1),(503,1)}
       471:{1,3,5,7}:{(431,1),(432,1),(435,1),(501,1),(503,1),(504,1)}
       472:{2,3,6}:{(432,1),(433,1),(502,1),(504,1)}
       473:{1,2,5}:{(434,1),(435,1)}
       474:{1,2,4,5}:{(436,1),(443,1),(505,1),(521,1),(541,1),(545,1)}
       475:{2,3,5}:{(436,1),(437,1),(444,1),(505,1),(506,1)}
       476:{1,3,4}:{(437,1),(438,1),(506,1)}
       477:{1,2,4,7}:{(439,1),(443,1),(450,1),(507,1),(518,1)}
       478:{2,3,7}:{(439,1),(440,1),(444,1),(507,1)}
       479:{1,3,4,7}:{(440,1),(441,1),(445,1),(508,1),(509,1)}
       480:{1,2,4,5,7}:{(441,1),(442,1),(446,1),(453,1),(509,1),(510,1),(519,1)}
       481:{1,2,5,6}:{(442,1),(454,1),(510,1),(526,1),(547,1)}
       482:{1,3,6}:{(443,1),(444,1),(505,1),(507,1)}
       483:{2,3,4,6}:{(444,1),(445,1),(456,1),(506,1),(508,1),(512,1),(513,1),(544,1)}
       484:{1,3,5}:{(445,1),(446,1),(513,1)}
       485:{1,2,6,7}:{(447,1),(450,1),(514,1),(552,1)}
       486:{2,3,6,7}:{(447,1),(448,1),(451,1),(514,1),(515,1),(544,1)}
       487:{1,3,4,6,7}:{(448,1),(449,1),(452,1),(458,1),(515,1),(516,1),(520,1)}
       488:{1,4,5,7}:{(449,1),(459,1),(516,1),(517,1),(523,1)}
       489:{1,3,5,7}:{(450,1),(451,1),(455,1),(507,1),(514,1),(518,1),(546,1)}
       490:{2,4,7}:{(451,1),(452,1),(456,1),(518,1)}
       491:{1,3,4,5,7}:{(452,1),(453,1),(457,1),(460,1),(509,1),(516,1),(519,1),(520,1)}
       492:{1,4,6}:{(453,1),(454,1),(461,1)}
       493:{1,4,6}:{(455,1),(456,1),(518,1),(521,1)}
       494:{2,4,5}:{(456,1),(457,1),(513,1),(521,1)}
       495:{3,5,7}:{(458,1),(459,1),(522,1)}
       496:{2,4,5,6}:{(459,1),(461,1),(465,1),(517,1),(522,1),(524,1),(547,1)}
       497:{3,4,6}:{(460,1),(461,1),(522,1)}
       498:{1,4,6,7}:{(462,1),(463,1),(466,1),(523,1),(525,1)}
       499:{2,5,7}:{(463,1),(464,1),(523,1),(524,1)}
       500:{1,3,5,6}:{(464,1),(465,1),(468,1),(522,1),(524,1)}
       501:{1,4,5,7}:{(466,1),(467,1),(469,1),(471,1),(523,1),(525,1)}
       502:{2,4,6}:{(467,1),(468,1),(472,1),(524,1),(525,1)}
       503:{1,2,5,7}:{(470,1),(471,1),(473,1),(526,1)}
       504:{1,3,6}:{(471,1),(472,1),(525,1),(526,1)}
       505:{1,3,5}:{(474,1),(475,1),(482,1),(528,1)}
       506:{2,3,4}:{(475,1),(476,1),(528,1)}
       507:{1,3,7}:{(477,1),(478,1),(482,1)}
       508:{2,3,4,7}:{(478,1),(479,1),(483,1),(490,1),(530,1),(531,1)}
       509:{1,3,5,7}:{(479,1),(480,1),(484,1),(531,1),(532,1)}
       510:{1,2,4,6}:{(480,1),(481,1),(492,1),(532,1),(539,1)}
       511:{1,2,3,6}:{(482,1),(527,1),(529,1),(533,1)}
       512:{1,3,4,6}:{(482,1),(483,1),(493,1),(528,1),(530,1),(533,1),(534,1),(550,1)}
       513:{2,3,5}:{(483,1),(484,1),(494,1),(534,1)}
       514:{1,3,6,7}:{(485,1),(486,1),(489,1),(535,1),(550,1)}
       515:{2,4,6,7}:{(486,1),(487,1),(490,1),(535,1),(536,1),(539,1)}
       516:{1,3,5,7}:{(487,1),(488,1),(495,1),(536,1),(537,1)}
       517:{1,4,5,6}:{(488,1),(492,1),(496,1),(537,1),(540,1)}
       518:{1,4,7}:{(489,1),(490,1),(493,1)}
       519:{2,4,5,7}:{(490,1),(491,1),(494,1),(531,1),(536,1),(538,1),(539,1)}
       520:{1,3,4,6}:{(491,1),(492,1),(497,1),(532,1),(537,1),(539,1)}
       521:{1,4,5}:{(493,1),(494,1),(534,1)}
       522:{3,5,6}:{(495,1),(496,1),(497,1)}
       523:{1,5,7}:{(498,1),(499,1),(540,1)}
       524:{2,5,6}:{(499,1),(500,1),(502,1),(540,1)}
       525:{1,4,6}:{(501,1),(502,1),(504,1),(540,1)}
       526:{1,2,6}:{(503,1),(504,1)}
       527:{1,2,3,5}:{(505,1),(511,1),(541,1),(545,1)}
       528:{1,3,4}:{(505,1),(506,1),(541,1)}
       529:{1,2,3,7}:{(507,1),(511,1),(542,1)}
       530:{1,3,4,7}:{(507,1),(508,1),(512,1),(518,1),(542,1),(543,1)}
       531:{2,3,5,7}:{(508,1),(509,1),(513,1),(519,1),(543,1),(544,1)}
       532:{1,3,6}:{(509,1),(510,1),(544,1)}
       533:{1,2,4,6}:{(511,1),(512,1),(541,1),(542,1),(545,1),(552,1)}
       534:{1,3,5}:{(512,1),(513,1),(521,1),(545,1)}
       535:{1,4,6,7}:{(514,1),(515,1),(518,1),(546,1),(548,1)}
       536:{2,5,7}:{(515,1),(516,1),(546,1),(547,1)}
       537:{1,3,5,6}:{(516,1),(517,1),(520,1),(522,1),(547,1)}
       538:{1,4,5,7}:{(518,1),(519,1),(521,1),(543,1),(546,1),(548,1)}
       539:{2,4,6}:{(519,1),(520,1),(544,1),(547,1),(548,1)}
       540:{1,5,6}:{(523,1),(524,1),(525,1)}
       541:{1,2,4}:{(527,1),(528,1)}
       542:{1,2,4,7}:{(529,1),(530,1),(533,1),(549,1)}
       543:{1,3,5,7}:{(530,1),(531,1),(534,1),(538,1),(549,1),(550,1)}
       544:{2,3,6}:{(531,1),(532,1),(539,1),(550,1)}
       545:{1,2,5}:{(533,1),(534,1)}
       546:{1,5,7}:{(535,1),(536,1),(551,1)}
       547:{2,5,6}:{(536,1),(537,1),(539,1),(551,1)}
       548:{1,4,6}:{(538,1),(539,1),(550,1),(551,1)}
       549:{1,2,5,7}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,3,6}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,5,6}:{(546,1),(547,1),(548,1)}
       552:{1,2,6}:{(549,1),(550,1)}

 808 :   0:{1,2,4,5,7}:{(1,1),(2,1),(11,1),(17,1),(19,1),(47,1),(49,1),(55,1),(56,1),(102,1),(112,1),(177,1),(179,1),(200,1),(241,1),(249,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(27,1),(139,1),(151,1),(210,1),(213,1),(233,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(25,1),(33,1),(37,1),(87,1),(150,1),(164,1),(273,1)}
         3:{1,3,4,5,7}:{(4,1),(9,1),(10,1),(27,1),(34,1),(40,1),(78,1),(92,1),(143,1),(144,1),(151,1),(165,1),(167,1),(169,1),(213,1),(233,1),(238,1),(283,1)}
         4:{1,3,4,7}:{(1,1),(11,1),(12,1),(55,1),(119,1),(241,1),(243,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(47,1),(56,1),(103,1),(178,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(186,1),(201,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(46,1),(55,1),(62,1),(124,1),(200,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(47,1),(63,1),(111,1),(125,1),(177,1),(251,1)}
         9:{2,4,5,7}:{(3,1),(11,1),(18,1),(19,1),(20,1),(47,1),(56,1),(64,1),(106,1),(122,1),(128,1),(179,1),(197,1),(200,1)}
        10:{1,3,4,6}:{(3,1),(20,1),(22,1),(57,1),(114,1),(127,1),(129,1),(186,1),(201,1),(265,1),(298,1)}
        11:{2,4,7}:{(4,1),(5,1),(24,1),(25,1),(212,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(25,1),(27,1),(33,1),(84,1)}
        13:{1,3,5,7}:{(5,1),(24,1),(28,1),(29,1),(71,1),(74,1),(145,1)}
        14:{2,3,6}:{(5,1),(6,1),(25,1),(29,1),(87,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(30,1),(32,1),(233,1),(273,1)}
        16:{1,3,5,6}:{(6,1),(8,1),(27,1),(31,1),(32,1),(33,1),(210,1),(219,1),(221,1),(273,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(32,1),(75,1),(96,1),(163,1),(274,1)}
        18:{2,3,5,7}:{(9,1),(23,1),(34,1),(35,1),(70,1),(151,1),(213,1),(218,1),(233,1),(283,1),(305,1)}
        19:{1,4,5,7}:{(9,1),(24,1),(34,1),(37,1),(74,1),(96,1),(143,1),(156,1),(165,1),(224,1)}
        20:{2,4,6}:{(9,1),(10,1),(35,1),(37,1),(39,1),(87,1)}
        21:{1,3,4,6,7}:{(10,1),(38,1),(40,1),(88,1),(101,1),(165,1),(167,1),(175,1),(233,1)}
        22:{1,3,5,6}:{(10,1),(27,1),(39,1),(40,1),(41,1),(100,1),(169,1)}
        23:{2,3,4,7}:{(11,1),(18,1),(42,1),(43,1),(103,1),(119,1),(122,1),(128,1),(189,1),(243,1),(261,1),(262,1),(294,1)}
        24:{1,4,7}:{(11,1),(13,1),(45,1),(181,1)}
        25:{2,4,6}:{(11,1),(12,1),(14,1),(45,1),(47,1)}
        26:{1,3,4,6,7}:{(12,1),(15,1),(46,1),(48,1),(55,1),(114,1),(119,1),(186,1)}
        27:{1,3,5}:{(12,1),(47,1),(49,1),(113,1)}
        28:{1,2,5,7}:{(13,1),(44,1),(50,1),(56,1),(108,1),(312,1)}
        29:{1,3,6}:{(13,1),(14,1),(45,1),(50,1)}
        30:{2,3,6,7}:{(14,1),(15,1),(46,1),(51,1),(53,1),(124,1),(186,1),(248,1)}
        31:{2,3,5,6}:{(14,1),(16,1),(47,1),(52,1),(53,1),(54,1),(111,1),(113,1),(125,1),(178,1),(185,1),(186,1),(188,1),(201,1),(248,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(17,1),(53,1),(55,1),(249,1),(250,1)}
        33:{1,4,6}:{(16,1),(49,1),(54,1),(55,1),(241,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(42,1),(56,1),(57,1),(105,1),(249,1),(312,1)}
        35:{2,3,6}:{(18,1),(20,1),(57,1),(186,1),(201,1),(248,1),(298,1),(311,1)}
        36:{1,2,4,5,7}:{(19,1),(44,1),(56,1),(60,1),(61,1),(108,1),(122,1),(133,1),(179,1),(181,1),(197,1),(200,1),(205,1),(206,1),(259,1),(312,1)}
        37:{1,4,6}:{(19,1),(20,1),(57,1),(63,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(58,1),(62,1),(64,1),(124,1),(128,1),(200,1)}
        39:{2,5,6}:{(20,1),(22,1),(47,1),(63,1),(64,1),(197,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(64,1),(67,1),(138,1)}
        41:{1,4,5,6}:{(22,1),(49,1),(65,1),(67,1),(114,1),(127,1),(205,1),(209,1),(265,1)}
        42:{1,3,4,7}:{(23,1),(24,1),(34,1),(68,1),(69,1),(71,1),(139,1),(156,1),(165,1),(222,1),(233,1),(284,1),(307,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(35,1),(69,1),(70,1),(84,1),(91,1),(141,1),(155,1),(160,1),(212,1),(232,1),(234,1),(269,1),(279,1)}
        44:{1,2,4,7}:{(24,1),(28,1),(68,1),(71,1),(72,1),(307,1),(308,1)}
        45:{1,4,6}:{(24,1),(25,1),(29,1),(74,1)}
        46:{2,4,6,7}:{(25,1),(26,1),(30,1),(73,1),(75,1),(83,1),(150,1)}
        47:{2,5}:{(25,1),(27,1),(74,1)}
        48:{1,3,5,7}:{(26,1),(27,1),(75,1),(77,1),(78,1),(151,1)}
        49:{1,4,5}:{(27,1),(33,1),(76,1),(219,1)}
        50:{1,2,6}:{(28,1),(29,1),(87,1),(314,1)}
        51:{1,3,6,7}:{(29,1),(30,1),(73,1),(79,1),(81,1),(217,1)}
        52:{1,3,5,6}:{(29,1),(31,1),(74,1),(80,1),(81,1),(82,1),(145,1),(147,1),(149,1),(153,1),(217,1)}
        53:{2,3,5,7}:{(30,1),(31,1),(32,1),(75,1),(81,1),(83,1),(151,1),(163,1),(218,1),(220,1),(233,1)}
        54:{2,4,6}:{(31,1),(33,1),(76,1),(82,1),(83,1),(84,1),(212,1)}
        55:{1,4,7}:{(32,1),(33,1),(83,1)}
        56:{2,5,7}:{(34,1),(68,1),(87,1),(142,1)}
        57:{1,3,6}:{(34,1),(35,1),(37,1),(87,1),(273,1),(314,1)}
        58:{2,3,6,7}:{(35,1),(38,1),(88,1),(90,1),(175,1),(233,1),(239,1)}
        59:{2,3,5,6}:{(35,1),(39,1),(70,1),(89,1),(90,1),(91,1),(100,1),(174,1),(234,1)}
        60:{1,3,5,7}:{(36,1),(71,1),(86,1),(92,1),(93,1),(145,1),(169,1),(213,1),(233,1),(283,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(87,1),(93,1),(95,1),(160,1),(164,1),(171,1),(282,1),(314,1)}
        62:{1,4,6,7}:{(37,1),(38,1),(88,1),(96,1),(165,1)}
        63:{1,5,6}:{(37,1),(39,1),(74,1),(96,1),(224,1)}
        64:{2,5,7}:{(38,1),(39,1),(40,1),(96,1)}
        65:{2,4,5,6}:{(39,1),(41,1),(76,1),(91,1),(97,1),(99,1),(100,1),(150,1),(164,1),(174,1),(230,1),(282,1)}
        66:{1,3,5,6,7}:{(40,1),(77,1),(98,1),(101,1),(175,1),(237,1)}
        67:{1,4,5,7}:{(40,1),(41,1),(99,1),(101,1),(165,1),(240,1)}
        68:{2,4,7}:{(42,1),(56,1),(103,1),(104,1),(299,1)}
        69:{1,3,4,6}:{(42,1),(43,1),(45,1),(57,1),(104,1),(105,1),(107,1),(127,1),(176,1),(181,1),(190,1),(191,1),(201,1),(241,1),(243,1),(263,1),(288,1),(295,1)}
        70:{2,3,5}:{(43,1),(47,1),(105,1),(106,1),(113,1),(185,1),(197,1),(260,1),(293,1)}
        71:{1,3,7}:{(44,1),(103,1),(107,1)}
        72:{1,2,4,6}:{(44,1),(45,1),(50,1),(104,1),(107,1),(108,1),(181,1),(295,1),(297,1),(309,1)}
        73:{1,4,6,7}:{(45,1),(46,1),(51,1),(109,1),(117,1),(183,1)}
        74:{1,5}:{(45,1),(47,1)}
        75:{2,5,7}:{(46,1),(47,1),(48,1),(109,1),(111,1)}
        76:{2,4,5}:{(47,1),(49,1),(54,1),(110,1),(113,1),(185,1)}
        77:{1,3,5,6}:{(48,1),(111,1),(114,1),(186,1)}
        78:{1,4,5,7}:{(48,1),(49,1),(55,1),(112,1),(114,1),(249,1)}
        79:{1,2,6,7}:{(50,1),(51,1),(115,1),(124,1),(248,1),(266,1)}
        80:{1,2,5,6}:{(50,1),(52,1),(108,1),(115,1),(116,1),(125,1),(185,1),(209,1),(248,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(109,1),(115,1),(117,1),(187,1)}
        82:{1,4,6}:{(52,1),(54,1),(110,1),(117,1),(181,1)}
        83:{2,4,7}:{(53,1),(54,1),(55,1),(117,1),(119,1)}
        84:{3,4,6}:{(54,1),(113,1),(119,1),(186,1),(201,1),(243,1)}
        85:{1,2,5,7}:{(56,1),(102,1),(120,1),(121,1),(177,1),(249,1)}
        86:{2,3,5,7}:{(56,1),(60,1),(103,1),(120,1),(122,1),(123,1),(178,1),(197,1)}
        87:{2,6}:{(56,1),(57,1)}
        88:{1,3,6,7}:{(57,1),(58,1),(62,1),(124,1),(126,1),(266,1)}
        89:{1,3,5,6}:{(57,1),(59,1),(63,1),(105,1),(125,1),(126,1),(127,1),(201,1),(209,1),(263,1)}
        90:{2,3,5,7}:{(58,1),(59,1),(64,1),(126,1),(128,1),(138,1),(208,1),(262,1)}
        91:{2,4,6}:{(59,1),(106,1),(127,1),(128,1),(129,1)}
        92:{1,3,4,7}:{(60,1),(122,1),(130,1),(181,1),(206,1),(243,1),(261,1)}
        93:{1,3,6}:{(60,1),(61,1),(123,1),(201,1),(298,1)}
        94:{1,2,4,6,7}:{(61,1),(62,1),(124,1),(131,1),(133,1),(196,1),(200,1),(206,1)}
        95:{1,2,5,6}:{(61,1),(63,1),(108,1),(125,1),(132,1),(133,1),(197,1),(258,1),(297,1)}
        96:{1,5,7}:{(62,1),(63,1),(64,1)}
        97:{1,4,5,6}:{(63,1),(65,1),(110,1),(127,1),(135,1),(136,1),(183,1),(253,1),(291,1)}
        98:{2,5,6,7}:{(64,1),(66,1),(111,1),(134,1),(137,1),(258,1)}
        99:{2,4,5,7}:{(64,1),(65,1),(67,1),(128,1),(135,1),(137,1),(138,1),(200,1),(208,1)}
       100:{3,5,6}:{(65,1),(113,1),(129,1),(138,1),(186,1),(201,1),(260,1),(298,1)}
       101:{1,4,6,7}:{(66,1),(67,1),(114,1),(137,1),(265,1),(266,1)}
       102:{1,2,4,7}:{(68,1),(85,1),(139,1),(140,1),(156,1),(222,1),(274,1)}
       103:{2,3,7}:{(68,1),(71,1),(139,1),(141,1),(233,1)}
       104:{2,4,6}:{(68,1),(69,1),(87,1),(141,1),(142,1),(212,1),(285,1),(302,1)}
       105:{1,3,5}:{(69,1),(70,1),(74,1),(142,1),(143,1),(213,1),(219,1),(224,1),(306,1)}
       106:{2,4,5}:{(70,1),(91,1),(143,1),(144,1),(212,1)}
       107:{1,3,6}:{(71,1),(72,1),(141,1),(145,1),(313,1)}
       108:{1,2,5}:{(72,1),(74,1),(142,1),(145,1),(306,1)}
       109:{1,5,7}:{(73,1),(74,1),(75,1),(147,1)}
       110:{1,4,5}:{(74,1),(76,1),(82,1),(149,1)}
       111:{2,5,6}:{(75,1),(77,1),(147,1),(150,1)}
       112:{2,4,5,7}:{(75,1),(76,1),(78,1),(83,1),(148,1),(150,1),(151,1),(218,1)}
       113:{3,5}:{(76,1),(84,1)}
       114:{1,4,6}:{(77,1),(78,1),(150,1),(273,1)}
       115:{1,2,5,7}:{(79,1),(80,1),(81,1),(152,1),(163,1),(218,1),(240,1)}
       116:{1,2,4,6}:{(80,1),(82,1),(146,1),(152,1),(153,1),(155,1),(164,1),(236,1),(285,1)}
       117:{1,4,7}:{(81,1),(82,1),(83,1)}
       118:{1,3,4,6}:{(82,1),(84,1),(149,1),(153,1),(154,1),(155,1),(215,1),(217,1)}
       119:{3,4,7}:{(83,1),(84,1),(151,1),(233,1)}
       120:{1,3,5,7}:{(85,1),(86,1),(139,1),(156,1),(157,1),(210,1),(224,1)}
       121:{1,2,6}:{(85,1),(87,1),(157,1),(273,1)}
       122:{2,4,7}:{(86,1),(92,1),(156,1),(160,1),(212,1)}
       123:{2,3,6}:{(86,1),(87,1),(93,1),(157,1),(160,1)}
       124:{2,6,7}:{(87,1),(88,1),(163,1)}
       125:{2,5,6}:{(87,1),(89,1),(142,1),(163,1),(164,1),(285,1)}
       126:{1,3,5,7}:{(88,1),(89,1),(90,1),(96,1),(163,1),(165,1),(233,1),(240,1),(284,1)}
       127:{1,4,6}:{(89,1),(91,1),(143,1),(164,1),(165,1)}
       128:{2,4,7}:{(90,1),(91,1),(165,1),(167,1)}
       129:{3,4,6}:{(91,1),(100,1),(144,1),(167,1)}
       130:{1,3,4,6}:{(92,1),(93,1),(160,1),(169,1),(171,1),(232,1)}
       131:{1,3,6,7}:{(93,1),(94,1),(161,1),(170,1),(233,1),(314,1)}
       132:{1,3,5,6}:{(93,1),(95,1),(145,1),(162,1),(169,1),(170,1),(171,1),(281,1),(306,1),(314,1)}
       133:{1,2,5,7}:{(94,1),(95,1),(96,1),(163,1),(170,1),(229,1),(308,1)}
       134:{1,5,6,7}:{(96,1),(98,1),(147,1),(172,1),(275,1)}
       135:{1,4,5,7}:{(96,1),(97,1),(99,1),(165,1),(172,1),(173,1)}
       136:{1,3,5,6}:{(97,1),(100,1),(149,1),(166,1),(173,1),(174,1),(217,1),(277,1),(304,1)}
       137:{2,4,6,7}:{(98,1),(99,1),(101,1),(150,1),(172,1),(175,1),(239,1),(282,1)}
       138:{3,5,7}:{(99,1),(100,1),(167,1),(175,1),(233,1)}
       139:{1,3,7}:{(102,1),(103,1),(176,1)}
       140:{1,2,4,6}:{(102,1),(104,1),(121,1),(176,1),(177,1),(190,1),(191,1),(241,1),(251,1),(290,1)}
       141:{2,3,6}:{(103,1),(104,1),(107,1),(176,1),(178,1),(201,1),(310,1)}
       142:{2,5}:{(104,1),(105,1)}
       143:{1,4,5}:{(105,1),(106,1),(127,1),(179,1),(181,1),(241,1)}
       144:{3,4,5}:{(106,1),(113,1),(129,1),(243,1),(260,1)}
       145:{1,3,5}:{(107,1),(108,1),(178,1),(181,1)}
       146:{1,2,4,5}:{(108,1),(110,1),(116,1),(179,1),(181,1),(182,1),(185,1),(245,1),(246,1),(289,1),(309,1)}
       147:{1,5,6}:{(109,1),(111,1),(183,1)}
       148:{1,4,5,7}:{(109,1),(110,1),(112,1),(117,1),(183,1),(184,1)}
       149:{1,3,5}:{(110,1),(113,1),(118,1),(185,1)}
       150:{2,4,6}:{(111,1),(112,1),(114,1),(183,1),(186,1),(248,1)}
       151:{3,5,7}:{(112,1),(113,1),(119,1),(186,1)}
       152:{1,2,4,7}:{(115,1),(116,1),(117,1),(187,1),(189,1),(200,1),(264,1),(299,1)}
       153:{1,3,6}:{(116,1),(182,1),(187,1),(188,1),(201,1)}
       154:{1,3,4,7}:{(117,1),(118,1),(119,1),(184,1),(187,1),(189,1)}
       155:{2,4,6}:{(118,1),(185,1),(188,1),(189,1),(190,1),(246,1),(248,1)}
       156:{1,4,7}:{(120,1),(122,1),(191,1),(241,1)}
       157:{1,3,6}:{(120,1),(121,1),(123,1),(191,1)}
       158:{1,2,6,7}:{(121,1),(124,1),(192,1),(194,1),(266,1),(311,1)}
       159:{1,2,5,6}:{(121,1),(125,1),(177,1),(193,1),(194,1),(195,1),(209,1),(293,1),(311,1)}
       160:{2,4,6}:{(122,1),(123,1),(130,1),(191,1),(197,1)}
       161:{2,3,6,7}:{(123,1),(124,1),(131,1),(192,1),(196,1),(198,1),(298,1),(311,1)}
       162:{2,3,5,6}:{(123,1),(125,1),(132,1),(178,1),(193,1),(197,1),(198,1),(199,1),(201,1),(257,1),(258,1),(260,1),(293,1),(298,1),(311,1)}
       163:{2,5,7}:{(124,1),(125,1),(126,1),(200,1),(299,1)}
       164:{2,4,6}:{(125,1),(127,1),(179,1),(200,1),(201,1)}
       165:{1,4,7}:{(126,1),(127,1),(128,1),(200,1)}
       166:{1,3,4,6}:{(127,1),(129,1),(136,1),(180,1),(201,1),(202,1),(203,1),(263,1)}
       167:{3,4,7}:{(128,1),(129,1),(138,1)}
       168:{1,3,4,6,7}:{(130,1),(131,1),(196,1),(204,1),(206,1),(261,1),(265,1),(298,1)}
       169:{1,3,5}:{(130,1),(197,1),(205,1),(260,1)}
       170:{1,3,5,7}:{(131,1),(132,1),(133,1),(198,1),(206,1),(296,1),(312,1)}
       171:{1,4,6}:{(132,1),(181,1),(199,1),(205,1),(206,1)}
       172:{1,4,6,7}:{(134,1),(135,1),(137,1),(183,1),(207,1),(291,1)}
       173:{1,3,5,7}:{(135,1),(136,1),(138,1),(202,1),(207,1),(208,1)}
       174:{2,5,6}:{(136,1),(185,1),(203,1),(208,1),(209,1),(248,1),(293,1),(311,1)}
       175:{3,6,7}:{(137,1),(138,1),(186,1),(298,1)}
       176:{1,3,6}:{(139,1),(140,1),(141,1),(210,1),(303,1)}
       177:{1,2,5}:{(140,1),(142,1),(210,1),(219,1),(224,1)}
       178:{2,3,5}:{(141,1),(142,1),(145,1),(210,1),(212,1),(213,1)}
       179:{2,4,5}:{(142,1),(143,1),(164,1),(212,1),(213,1)}
       180:{1,3,4,5}:{(143,1),(144,1),(149,1),(166,1),(213,1),(214,1),(215,1),(267,1),(270,1),(277,1)}
       181:{1,4}:{(145,1),(212,1)}
       182:{1,3,5}:{(146,1),(153,1),(213,1),(215,1),(216,1),(313,1)}
       183:{1,4,6}:{(147,1),(148,1),(150,1),(217,1)}
       184:{1,3,5,7}:{(148,1),(149,1),(151,1),(154,1),(217,1),(218,1)}
       185:{2,5}:{(149,1),(155,1),(219,1)}
       186:{3,6}:{(150,1),(151,1)}
       187:{1,3,7}:{(152,1),(153,1),(220,1),(233,1)}
       188:{2,3,6}:{(153,1),(155,1),(216,1),(220,1),(221,1),(285,1)}
       189:{2,4,7}:{(154,1),(155,1),(218,1),(220,1),(222,1)}
       190:{1,4,6}:{(155,1),(219,1),(221,1),(222,1),(271,1),(273,1)}
       191:{1,4,6}:{(156,1),(157,1),(160,1),(224,1)}
       192:{1,3,6,7}:{(157,1),(158,1),(161,1),(223,1),(225,1),(304,1)}
       193:{1,3,5,6}:{(157,1),(159,1),(162,1),(210,1),(224,1),(225,1),(226,1),(228,1),(275,1),(277,1),(304,1)}
       194:{1,2,5,7}:{(158,1),(159,1),(163,1),(225,1),(227,1),(240,1),(305,1)}
       195:{1,2,4,6}:{(159,1),(164,1),(211,1),(226,1),(227,1),(228,1),(236,1),(279,1),(285,1)}
       196:{2,4,6,7}:{(160,1),(161,1),(168,1),(223,1),(229,1),(231,1),(282,1)}
       197:{2,5}:{(160,1),(169,1),(224,1)}
       198:{2,3,5,7}:{(161,1),(162,1),(163,1),(170,1),(225,1),(229,1),(231,1),(233,1),(280,1),(283,1),(305,1)}
       199:{2,4,6}:{(162,1),(171,1),(212,1),(226,1),(230,1),(231,1),(232,1)}
       200:{2,4,7}:{(163,1),(164,1),(165,1),(233,1)}
       201:{3,6}:{(164,1),(213,1),(233,1)}
       202:{1,3,4,7}:{(165,1),(166,1),(167,1),(173,1),(233,1),(235,1),(284,1)}
       203:{2,4,6}:{(166,1),(174,1),(214,1),(234,1),(235,1),(236,1),(285,1)}
       204:{1,3,5,7}:{(168,1),(169,1),(229,1),(237,1),(238,1),(283,1)}
       205:{1,4,5}:{(169,1),(171,1),(230,1),(306,1)}
       206:{1,4,7}:{(170,1),(171,1),(231,1)}
       207:{1,3,6,7}:{(172,1),(173,1),(175,1),(217,1),(239,1),(304,1)}
       208:{2,5,7}:{(173,1),(174,1),(235,1),(239,1),(240,1)}
       209:{1,5,6}:{(174,1),(219,1),(236,1),(240,1),(273,1),(306,1),(314,1)}
       210:{1,3,5}:{(176,1),(177,1),(178,1),(241,1)}
       211:{1,2,4,5}:{(177,1),(179,1),(195,1),(241,1),(242,1),(245,1),(253,1),(286,1),(289,1),(290,1),(293,1)}
       212:{2,4}:{(178,1),(181,1),(241,1),(243,1)}
       213:{3,5}:{(179,1),(201,1),(243,1)}
       214:{2,4,5}:{(180,1),(185,1),(203,1),(244,1),(245,1),(246,1),(286,1),(289,1),(293,1)}
       215:{1,3,4}:{(181,1),(182,1),(243,1),(246,1)}
       216:{2,3,5}:{(182,1),(185,1),(188,1),(246,1),(247,1),(289,1),(310,1)}
       217:{1,3,6}:{(183,1),(184,1),(186,1),(248,1)}
       218:{2,5,7}:{(184,1),(185,1),(189,1),(248,1),(249,1)}
       219:{1,5}:{(185,1),(190,1)}
       220:{2,3,7}:{(187,1),(188,1),(189,1),(250,1),(299,1)}
       221:{1,3,6}:{(188,1),(190,1),(247,1),(250,1),(251,1)}
       222:{1,4,7}:{(189,1),(190,1),(249,1),(250,1)}
       223:{1,4,6,7}:{(191,1),(192,1),(196,1),(252,1),(254,1),(291,1)}
       224:{1,5}:{(191,1),(197,1)}
       225:{1,3,5,7}:{(192,1),(193,1),(194,1),(198,1),(252,1),(254,1),(256,1)}
       226:{1,4,6}:{(193,1),(199,1),(241,1),(253,1),(254,1)}
       227:{1,2,4,7}:{(194,1),(195,1),(200,1),(254,1),(256,1),(264,1),(294,1),(299,1)}
       228:{1,3,6}:{(195,1),(201,1),(242,1),(256,1),(257,1)}
       229:{2,5,7}:{(196,1),(197,1),(204,1),(252,1),(258,1)}
       230:{2,4,5}:{(197,1),(199,1),(205,1),(253,1),(260,1),(293,1)}
       231:{2,4,7}:{(198,1),(199,1),(206,1),(254,1),(261,1)}
       232:{3,4,6}:{(199,1),(201,1),(243,1),(260,1),(261,1),(298,1)}
       233:{3,7}:{(200,1),(201,1)}
       234:{2,3,6}:{(201,1),(203,1),(244,1),(262,1),(263,1)}
       235:{2,4,7}:{(202,1),(203,1),(208,1),(262,1),(264,1),(299,1)}
       236:{1,4,6}:{(203,1),(209,1),(245,1),(263,1),(264,1)}
       237:{1,3,5,6}:{(204,1),(258,1),(265,1),(298,1)}
       238:{1,4,5,7}:{(204,1),(205,1),(206,1),(259,1),(265,1),(312,1)}
       239:{2,6,7}:{(207,1),(208,1),(248,1),(266,1),(311,1)}
       240:{1,5,7}:{(208,1),(209,1),(264,1),(266,1)}
       241:{1,4}:{(210,1),(212,1)}
       242:{1,3,5}:{(211,1),(213,1),(228,1),(267,1),(268,1),(303,1)}
       243:{3,4}:{(212,1),(213,1)}
       244:{2,3,5}:{(213,1),(214,1),(234,1),(269,1),(270,1)}
       245:{1,4,5}:{(214,1),(219,1),(236,1),(270,1),(271,1),(300,1),(306,1)}
       246:{2,4}:{(215,1),(216,1),(271,1)}
       247:{1,3,5}:{(216,1),(219,1),(221,1),(271,1),(272,1),(303,1)}
       248:{2,6}:{(217,1),(218,1),(273,1)}
       249:{1,5,7}:{(218,1),(219,1),(222,1),(273,1)}
       250:{1,3,7}:{(220,1),(221,1),(222,1),(274,1)}
       251:{1,2,6}:{(221,1),(272,1),(274,1),(285,1)}
       252:{1,5,7}:{(223,1),(224,1),(229,1),(275,1)}
       253:{1,4,5}:{(224,1),(226,1),(230,1),(277,1)}
       254:{1,4,7}:{(225,1),(226,1),(231,1)}
       255:{1,3,4,6}:{(226,1),(228,1),(232,1),(267,1),(277,1),(278,1),(279,1),(304,1)}
       256:{1,3,7}:{(227,1),(228,1),(233,1),(280,1)}
       257:{2,3,6}:{(228,1),(268,1),(279,1),(280,1),(281,1),(285,1)}
       258:{2,5,6}:{(229,1),(237,1),(275,1),(282,1)}
       259:{2,4,5,7}:{(229,1),(230,1),(231,1),(238,1),(276,1),(282,1),(283,1),(305,1)}
       260:{3,5}:{(230,1),(232,1)}
       261:{3,4,7}:{(231,1),(232,1),(233,1),(283,1)}
       262:{2,3,7}:{(233,1),(234,1),(235,1),(284,1)}
       263:{1,3,6}:{(234,1),(236,1),(270,1),(284,1),(285,1)}
       264:{1,4,7}:{(235,1),(236,1),(240,1),(284,1)}
       265:{1,4,6}:{(237,1),(238,1),(282,1),(314,1)}
       266:{1,6,7}:{(239,1),(240,1),(273,1),(314,1)}
       267:{1,3,4}:{(241,1),(242,1),(243,1),(286,1)}
       268:{2,3,5}:{(242,1),(257,1),(286,1),(287,1),(289,1),(293,1),(310,1)}
       269:{2,3,4}:{(243,1),(244,1),(246,1),(286,1),(288,1),(310,1)}
       270:{1,3,5}:{(244,1),(245,1),(263,1),(288,1),(289,1)}
       271:{1,4}:{(246,1),(247,1)}
       272:{1,2,5}:{(247,1),(251,1),(289,1),(290,1)}
       273:{1,6}:{(248,1),(249,1)}
       274:{1,2,7}:{(250,1),(251,1),(299,1)}
       275:{1,5,6}:{(252,1),(258,1),(291,1)}
       276:{1,4,5,7}:{(252,1),(253,1),(254,1),(259,1),(291,1),(292,1)}
       277:{1,3,5}:{(253,1),(255,1),(260,1),(293,1)}
       278:{1,3,4,7}:{(254,1),(255,1),(256,1),(261,1),(292,1),(294,1)}
       279:{2,4,6}:{(255,1),(257,1),(286,1),(293,1),(294,1),(295,1),(311,1)}
       280:{2,3,7}:{(256,1),(257,1),(294,1),(296,1),(299,1)}
       281:{1,3,6}:{(257,1),(287,1),(295,1),(296,1),(297,1)}
       282:{2,4,6}:{(258,1),(259,1),(265,1),(291,1),(298,1),(311,1)}
       283:{3,5,7}:{(259,1),(260,1),(261,1),(298,1)}
       284:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       285:{2,6}:{(263,1),(289,1),(299,1)}
       286:{2,4}:{(267,1),(268,1),(300,1)}
       287:{1,3,5}:{(268,1),(281,1),(300,1),(301,1),(306,1),(313,1)}
       288:{1,3,4}:{(269,1),(270,1),(271,1),(300,1),(302,1),(303,1),(313,1)}
       289:{2,5}:{(270,1),(285,1),(302,1)}
       290:{1,2,4}:{(271,1),(272,1),(302,1),(303,1)}
       291:{1,4,6}:{(275,1),(276,1),(282,1),(304,1)}
       292:{1,3,5,7}:{(276,1),(277,1),(278,1),(283,1),(304,1),(305,1)}
       293:{2,5}:{(277,1),(279,1),(306,1)}
       294:{2,4,7}:{(278,1),(279,1),(280,1),(305,1),(307,1)}
       295:{1,4,6}:{(279,1),(281,1),(300,1),(306,1),(307,1),(314,1)}
       296:{1,3,7}:{(280,1),(281,1),(307,1),(308,1)}
       297:{1,2,6}:{(281,1),(285,1),(301,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{2,7}:{(284,1),(285,1)}
       300:{1,4}:{(286,1),(287,1)}
       301:{1,2,5}:{(287,1),(289,1),(297,1),(309,1)}
       302:{2,4}:{(288,1),(289,1),(310,1)}
       303:{1,3}:{(290,1),(310,1)}
       304:{1,3,6}:{(291,1),(292,1),(298,1),(311,1)}
       305:{2,5,7}:{(292,1),(293,1),(294,1),(311,1),(312,1)}
       306:{1,5}:{(293,1),(295,1)}
       307:{1,4,7}:{(294,1),(295,1),(296,1),(312,1)}
       308:{1,2,7}:{(296,1),(297,1),(299,1)}
       309:{1,2,4}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1),(314,1)}
       312:{1,5,7}:{(305,1),(306,1),(307,1),(314,1)}
       313:{1,3}:{(309,1),(310,1)}
       314:{1,6}:{(311,1),(312,1)}

 809 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(76,1),(94,1),(170,1),(184,1),(248,1),(252,1),(338,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(21,1),(25,1),(35,1),(76,1),(93,1),(157,1),(252,1),(257,1),(336,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(11,1),(44,1),(121,1),(122,1),(198,1),(201,1),(298,1),(300,1),(370,1),(412,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(11,1),(12,1),(46,1),(61,1),(138,1),(231,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(120,1),(142,1),(236,1),(295,1)}
         5:{1,3,5}:{(1,1),(10,1),(11,1),(14,1),(207,1),(302,1)}
         6:{1,3,4,5}:{(10,1),(16,1),(17,1),(44,1),(57,1),(110,1),(146,1),(208,1),(244,1),(302,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(20,1),(26,1),(70,1),(76,1),(148,1),(151,1),(162,1),(163,1),(170,1),(184,1),(254,1),(261,1),(278,1),(344,1),(397,1),(398,1)}
         8:{1,4,6}:{(2,1),(19,1),(21,1),(23,1),(336,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(20,1),(23,1),(24,1),(27,1),(81,1),(249,1),(253,1)}
        10:{1,3,4}:{(5,1),(25,1),(336,1),(339,1)}
        11:{1,3,6}:{(3,1),(5,1),(26,1),(27,1),(278,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(27,1),(80,1),(99,1),(189,1),(279,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(170,1),(193,1),(285,1),(338,1)}
        14:{2,3,5}:{(5,1),(25,1),(26,1),(28,1),(76,1),(93,1),(167,1)}
        15:{1,4,5,6}:{(21,1),(29,1),(31,1),(32,1),(78,1),(175,1),(181,1),(288,1),(342,1),(362,1)}
        16:{1,3,4,6}:{(6,1),(31,1),(33,1),(34,1),(87,1),(91,1),(181,1),(278,1)}
        17:{2,4,5}:{(6,1),(25,1),(30,1),(33,1),(35,1),(76,1),(93,1),(190,1),(286,1)}
        18:{1,3,5,6}:{(7,1),(36,1),(37,1),(38,1),(50,1),(102,1),(105,1),(119,1),(203,1),(204,1),(218,1),(220,1),(311,1),(375,1)}
        19:{2,4,6}:{(7,1),(8,1),(37,1),(39,1),(40,1),(41,1),(307,1),(414,1)}
        20:{2,3,5,7}:{(7,1),(9,1),(38,1),(41,1),(42,1),(51,1),(112,1),(117,1),(120,1),(199,1),(202,1),(236,1),(322,1),(387,1)}
        21:{1,4,5}:{(8,1),(39,1),(44,1),(201,1),(412,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(11,1),(40,1),(44,1),(46,1),(47,1),(121,1)}
        23:{1,4,7}:{(8,1),(9,1),(41,1)}
        24:{1,3,6,7}:{(9,1),(13,1),(42,1),(48,1),(121,1),(300,1),(370,1)}
        25:{2,4}:{(10,1),(14,1),(49,1)}
        26:{2,3,6}:{(11,1),(14,1),(46,1),(50,1),(51,1),(138,1)}
        27:{1,3,7}:{(11,1),(12,1),(51,1),(322,1)}
        28:{1,3,5}:{(14,1),(49,1),(50,1),(52,1),(119,1),(125,1)}
        29:{2,4,5,6}:{(15,1),(39,1),(53,1),(54,1),(55,1),(58,1),(113,1),(128,1),(132,1),(231,1),(305,1),(306,1),(325,1),(373,1),(388,1),(414,1)}
        30:{2,3,5}:{(17,1),(43,1),(56,1),(57,1),(302,1)}
        31:{1,3,5,6}:{(15,1),(16,1),(44,1),(54,1),(58,1),(59,1),(121,1),(244,1),(331,1)}
        32:{1,4,5,7}:{(15,1),(55,1),(59,1),(60,1),(226,1),(232,1),(324,1)}
        33:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(61,1),(62,1),(138,1)}
        34:{1,3,4,7}:{(16,1),(59,1),(62,1),(133,1),(139,1),(232,1),(322,1)}
        35:{1,4,5}:{(17,1),(49,1),(57,1),(61,1),(119,1),(230,1),(319,1)}
        36:{1,2,5,6}:{(18,1),(64,1),(65,1),(83,1),(151,1),(168,1),(175,1),(184,1),(254,1),(268,1)}
        37:{1,4,6}:{(18,1),(19,1),(66,1),(68,1),(266,1)}
        38:{1,3,5,7}:{(18,1),(20,1),(65,1),(68,1),(69,1),(84,1),(149,1),(156,1),(169,1)}
        39:{2,4,5}:{(19,1),(21,1),(66,1),(70,1),(76,1),(151,1),(398,1),(422,1)}
        40:{3,4,6}:{(19,1),(70,1),(73,1),(162,1),(278,1),(339,1)}
        41:{2,4,7}:{(19,1),(20,1),(23,1),(68,1),(73,1),(408,1)}
        42:{2,3,6,7}:{(20,1),(24,1),(69,1),(74,1),(162,1),(170,1),(254,1),(285,1),(344,1),(357,1)}
        43:{2,3,4}:{(25,1),(30,1),(75,1),(167,1),(190,1),(339,1)}
        44:{1,3,5}:{(21,1),(22,1),(70,1),(76,1)}
        45:{1,4,5,7}:{(21,1),(23,1),(71,1),(77,1),(78,1),(81,1),(253,1)}
        46:{2,4,6}:{(22,1),(25,1),(26,1),(76,1),(79,1),(80,1),(170,1)}
        47:{1,3,4,7}:{(22,1),(23,1),(27,1),(73,1),(77,1),(80,1)}
        48:{1,4,6,7}:{(23,1),(24,1),(74,1),(78,1),(81,1),(395,1)}
        49:{1,4}:{(25,1),(28,1)}
        50:{1,3,6}:{(26,1),(28,1),(79,1),(83,1),(84,1)}
        51:{2,3,7}:{(26,1),(27,1),(80,1),(84,1),(189,1)}
        52:{1,2,5}:{(28,1),(82,1),(83,1),(93,1)}
        53:{1,4,5,6}:{(29,1),(66,1),(85,1),(86,1),(94,1),(153,1),(181,1),(342,1),(351,1),(404,1)}
        54:{3,5,6}:{(29,1),(70,1),(87,1),(89,1),(162,1),(278,1),(355,1),(406,1)}
        55:{2,4,5,7}:{(29,1),(32,1),(86,1),(89,1),(90,1),(95,1),(176,1),(182,1),(279,1),(281,1),(282,1),(358,1),(408,1)}
        56:{2,3,6}:{(30,1),(33,1),(91,1),(92,1),(278,1)}
        57:{1,3,5}:{(30,1),(35,1),(75,1),(91,1),(93,1)}
        58:{2,5,6}:{(31,1),(33,1),(76,1),(94,1),(95,1),(170,1),(286,1),(361,1)}
        59:{1,3,5,7}:{(31,1),(32,1),(34,1),(89,1),(95,1),(96,1)}
        60:{1,4,6,7}:{(32,1),(78,1),(90,1),(96,1),(97,1),(275,1),(362,1)}
        61:{1,4,6}:{(33,1),(35,1),(91,1),(94,1),(99,1)}
        62:{2,4,7}:{(33,1),(34,1),(92,1),(95,1),(99,1),(189,1)}
        63:{1,2,4,5}:{(35,1),(82,1),(93,1),(98,1),(100,1),(168,1),(190,1),(257,1),(266,1),(286,1),(288,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(101,1),(102,1),(103,1),(107,1),(223,1),(231,1),(312,1)}
        65:{1,2,5,7}:{(36,1),(38,1),(103,1),(104,1),(126,1),(202,1),(226,1),(236,1)}
        66:{1,4,5}:{(37,1),(39,1),(105,1),(119,1),(375,1)}
        67:{1,3,4,6}:{(37,1),(40,1),(102,1),(105,1),(107,1),(108,1),(196,1),(203,1)}
        68:{1,4,7}:{(37,1),(38,1),(41,1)}
        69:{1,3,6,7}:{(38,1),(42,1),(104,1),(109,1),(203,1),(220,1),(311,1)}
        70:{3,5}:{(39,1),(40,1)}
        71:{2,4,5,7}:{(39,1),(41,1),(45,1),(106,1),(112,1),(113,1),(117,1),(120,1),(202,1),(217,1)}
        72:{2,3,4,6}:{(40,1),(43,1),(46,1),(56,1),(107,1),(111,1),(114,1),(115,1),(132,1),(213,1),(215,1),(222,1),(239,1),(292,1),(307,1),(321,1),(374,1),(378,1)}
        73:{3,4,7}:{(40,1),(41,1),(112,1),(322,1)}
        74:{2,4,6,7}:{(41,1),(42,1),(48,1),(109,1),(113,1),(116,1),(117,1),(374,1)}
        75:{1,3,4}:{(43,1),(49,1),(57,1),(118,1),(125,1),(207,1),(230,1)}
        76:{2,5}:{(44,1),(46,1),(119,1)}
        77:{1,3,5,7}:{(44,1),(45,1),(47,1),(112,1),(120,1),(121,1)}
        78:{1,4,6}:{(45,1),(113,1),(121,1),(122,1),(300,1)}
        79:{1,4,6}:{(46,1),(49,1),(50,1),(119,1),(124,1),(220,1)}
        80:{2,4,7}:{(46,1),(47,1),(51,1),(120,1),(124,1)}
        81:{1,5,7}:{(48,1),(117,1),(122,1),(412,1)}
        82:{1,2,4}:{(49,1),(52,1),(118,1),(125,1)}
        83:{1,2,6}:{(50,1),(52,1),(126,1),(138,1)}
        84:{1,3,7}:{(50,1),(51,1),(124,1),(126,1)}
        85:{1,3,5,6}:{(53,1),(54,1),(105,1),(127,1),(128,1),(129,1),(203,1),(380,1),(418,1)}
        86:{1,4,5,7}:{(53,1),(55,1),(129,1),(130,1),(142,1),(232,1),(324,1)}
        87:{3,4,6}:{(54,1),(110,1),(132,1),(133,1),(414,1)}
        88:{2,3,5,6}:{(54,1),(56,1),(58,1),(111,1),(128,1),(132,1),(134,1),(135,1),(213,1),(222,1),(305,1)}
        89:{3,5,7}:{(54,1),(55,1),(133,1),(136,1),(322,1)}
        90:{2,4,6,7}:{(55,1),(60,1),(113,1),(130,1),(136,1),(137,1),(143,1),(227,1),(238,1),(388,1)}
        91:{1,3,6}:{(56,1),(57,1),(61,1),(138,1),(139,1)}
        92:{2,3,7}:{(56,1),(62,1),(139,1),(322,1)}
        93:{2,5}:{(57,1),(118,1),(138,1)}
        94:{1,5,6}:{(58,1),(61,1),(119,1),(142,1),(220,1),(319,1),(384,1)}
        95:{2,5,7}:{(58,1),(59,1),(62,1),(142,1),(143,1)}
        96:{1,3,6,7}:{(59,1),(60,1),(121,1),(136,1),(143,1),(331,1)}
        97:{1,5,6,7}:{(60,1),(122,1),(137,1),(324,1),(390,1)}
        98:{1,2,4,6}:{(61,1),(63,1),(138,1),(141,1),(144,1),(145,1),(231,1),(239,1),(241,1)}
        99:{1,4,7}:{(61,1),(62,1),(139,1),(142,1)}
       100:{1,3,5}:{(63,1),(125,1),(140,1),(144,1),(146,1),(302,1)}
       101:{1,2,4,5}:{(64,1),(66,1),(147,1),(151,1),(168,1),(246,1),(251,1),(257,1),(266,1),(334,1),(391,1)}
       102:{1,3,6}:{(64,1),(147,1),(148,1),(149,1),(278,1)}
       103:{1,2,4,7}:{(64,1),(65,1),(68,1),(149,1),(155,1),(272,1),(279,1),(348,1)}
       104:{1,2,6,7}:{(65,1),(69,1),(254,1),(268,1),(275,1),(285,1)}
       105:{1,3,5}:{(66,1),(67,1),(70,1),(151,1)}
       106:{1,4,5,7}:{(66,1),(68,1),(71,1),(152,1),(153,1),(156,1),(169,1)}
       107:{2,4,6}:{(67,1),(148,1),(151,1),(154,1),(155,1),(246,1),(254,1)}
       108:{1,3,4,7}:{(67,1),(68,1),(73,1),(149,1),(152,1),(155,1)}
       109:{1,4,6,7}:{(68,1),(69,1),(74,1),(153,1),(156,1),(345,1)}
       110:{3,4,5}:{(70,1),(87,1),(158,1),(339,1),(355,1),(422,1)}
       111:{2,3,5}:{(70,1),(72,1),(76,1),(151,1),(158,1),(160,1),(286,1),(355,1),(398,1),(401,1)}
       112:{3,5,7}:{(70,1),(71,1),(73,1),(162,1)}
       113:{2,4,6}:{(71,1),(78,1),(153,1),(162,1),(163,1),(170,1),(254,1),(264,1)}
       114:{1,3,4,6}:{(72,1),(75,1),(79,1),(91,1),(154,1),(160,1),(164,1),(165,1),(171,1),(181,1),(255,1),(263,1),(266,1),(269,1),(276,1),(278,1),(332,1),(336,1),(339,1),(345,1),(395,1),(396,1),(399,1)}
       115:{2,3,4,7}:{(72,1),(73,1),(80,1),(92,1),(155,1),(161,1),(165,1),(182,1),(265,1),(270,1),(287,1),(343,1),(356,1),(402,1)}
       116:{3,4,6,7}:{(73,1),(74,1),(162,1),(166,1),(264,1),(357,1),(396,1),(408,1)}
       117:{2,5,7}:{(74,1),(81,1),(156,1),(163,1),(166,1),(398,1)}
       118:{2,4}:{(75,1),(93,1),(167,1)}
       119:{1,5}:{(76,1),(79,1)}
       120:{2,5,7}:{(76,1),(77,1),(80,1),(169,1),(170,1)}
       121:{1,3,6}:{(77,1),(78,1),(162,1),(170,1)}
       122:{1,5,6}:{(78,1),(81,1),(163,1)}
       123:{1,2,4,6}:{(79,1),(82,1),(83,1),(164,1),(168,1),(171,1),(172,1),(266,1),(268,1),(345,1),(346,1),(391,1),(399,1)}
       124:{1,4,7}:{(79,1),(80,1),(84,1),(169,1)}
       125:{1,3}:{(82,1),(167,1)}
       126:{1,2,7}:{(83,1),(84,1),(189,1)}
       127:{1,3,4,6}:{(85,1),(87,1),(150,1),(173,1),(174,1),(181,1),(269,1),(278,1)}
       128:{2,5,6}:{(85,1),(151,1),(173,1),(175,1),(176,1),(254,1),(401,1),(424,1)}
       129:{1,3,5,7}:{(85,1),(86,1),(89,1),(174,1),(176,1),(177,1)}
       130:{1,4,6,7}:{(86,1),(90,1),(153,1),(177,1),(178,1),(193,1),(404,1)}
       131:{1,2,5}:{(93,1),(157,1),(179,1),(180,1)}
       132:{2,4,6}:{(87,1),(88,1),(158,1),(181,1),(182,1)}
       133:{3,4,7}:{(87,1),(89,1),(182,1),(408,1)}
       134:{1,3,5,6}:{(88,1),(91,1),(94,1),(160,1),(175,1),(181,1),(184,1),(185,1),(263,1),(269,1),(278,1),(342,1),(397,1)}
       135:{2,3,5,7}:{(88,1),(89,1),(92,1),(95,1),(176,1),(182,1),(185,1),(186,1),(270,1),(281,1)}
       136:{3,6,7}:{(89,1),(90,1),(162,1),(406,1)}
       137:{2,5,6,7}:{(90,1),(97,1),(163,1),(178,1),(187,1),(281,1),(358,1),(409,1)}
       138:{2,6}:{(91,1),(93,1),(189,1)}
       139:{1,3,7}:{(91,1),(92,1),(99,1),(189,1)}
       140:{2,3,5}:{(93,1),(100,1),(167,1),(180,1),(188,1),(190,1),(286,1)}
       141:{1,2,5,6}:{(94,1),(98,1),(168,1),(184,1),(191,1),(192,1),(268,1),(286,1),(346,1),(361,1)}
       142:{1,5,7}:{(94,1),(95,1),(99,1),(193,1)}
       143:{2,6,7}:{(95,1),(96,1),(170,1),(193,1),(361,1)}
       144:{1,3,6}:{(98,1),(100,1),(188,1),(195,1),(278,1)}
       145:{1,2,4,7}:{(98,1),(99,1),(189,1),(192,1),(195,1),(279,1),(287,1),(289,1)}
       146:{1,3,4}:{(100,1),(190,1),(266,1),(339,1)}
       147:{1,3,5}:{(101,1),(102,1),(196,1),(197,1),(302,1),(410,1)}
       148:{2,3,6}:{(102,1),(107,1),(197,1),(198,1),(199,1),(312,1)}
       149:{1,3,7}:{(102,1),(103,1),(199,1),(322,1)}
       150:{1,3,4,5}:{(105,1),(110,1),(127,1),(196,1),(200,1),(208,1),(296,1),(302,1),(368,1),(380,1)}
       151:{2,5}:{(105,1),(107,1),(201,1)}
       152:{1,3,5,7}:{(105,1),(106,1),(108,1),(112,1),(202,1),(203,1)}
       153:{1,4,6}:{(106,1),(113,1),(203,1),(204,1),(220,1)}
       154:{1,4,6}:{(107,1),(198,1),(201,1),(206,1),(293,1),(300,1)}
       155:{2,4,7}:{(107,1),(108,1),(199,1),(202,1),(206,1)}
       156:{1,5,7}:{(109,1),(117,1),(204,1),(375,1)}
       157:{1,2,4}:{(118,1),(131,1),(207,1),(230,1)}
       158:{2,4,5}:{(110,1),(111,1),(132,1),(208,1),(307,1)}
       159:{3,4,5,7}:{(110,1),(112,1),(133,1),(209,1),(210,1),(217,1),(234,1),(371,1),(385,1),(413,1),(421,1)}
       160:{1,3,5}:{(111,1),(114,1),(119,1),(201,1),(208,1),(211,1),(302,1),(319,1),(375,1),(412,1),(413,1),(415,1)}
       161:{2,3,5,7}:{(111,1),(112,1),(115,1),(120,1),(202,1),(209,1),(212,1),(213,1),(328,1),(385,1),(417,1)}
       162:{3,6}:{(112,1),(113,1)}
       163:{2,5,6}:{(113,1),(117,1),(122,1),(204,1),(214,1)}
       164:{2,4,6}:{(114,1),(118,1),(138,1),(211,1),(215,1),(216,1),(307,1),(309,1),(312,1),(364,1)}
       165:{1,3,4,7}:{(114,1),(115,1),(124,1),(139,1),(206,1),(212,1),(216,1),(221,1),(232,1),(301,1),(310,1),(313,1),(320,1),(322,1),(369,1),(371,1),(416,1)}
       166:{3,5,7}:{(116,1),(117,1),(214,1),(217,1),(413,1)}
       167:{2,3}:{(118,1),(125,1),(207,1)}
       168:{1,2,5}:{(119,1),(123,1),(211,1),(218,1),(375,1),(415,1)}
       169:{1,5,7}:{(119,1),(120,1),(124,1),(220,1)}
       170:{2,6}:{(120,1),(121,1),(220,1)}
       171:{1,3,6}:{(123,1),(125,1),(215,1),(218,1),(221,1),(410,1)}
       172:{1,2,4,7}:{(123,1),(124,1),(126,1),(216,1),(219,1),(221,1),(310,1),(377,1),(416,1)}
       173:{2,4,6}:{(127,1),(128,1),(200,1),(222,1),(223,1),(224,1),(312,1)}
       174:{1,3,4,7}:{(127,1),(129,1),(133,1),(224,1),(232,1),(313,1),(322,1)}
       175:{1,5,6}:{(128,1),(201,1),(223,1),(226,1),(300,1),(415,1),(426,1)}
       176:{2,5,7}:{(128,1),(129,1),(224,1),(226,1),(227,1)}
       177:{1,3,6,7}:{(129,1),(130,1),(136,1),(203,1),(227,1),(418,1)}
       178:{1,5,6,7}:{(130,1),(137,1),(204,1),(324,1),(419,1)}
       179:{1,2,6}:{(131,1),(138,1),(228,1),(229,1)}
       180:{1,3,5}:{(131,1),(140,1),(207,1),(228,1),(230,1),(319,1)}
       181:{1,4,6}:{(132,1),(134,1),(208,1),(231,1),(232,1),(414,1)}
       182:{2,4,7}:{(132,1),(133,1),(135,1),(232,1)}
       183:{3,4,6,7}:{(133,1),(136,1),(210,1),(233,1),(234,1),(238,1)}
       184:{2,5,6}:{(134,1),(138,1),(211,1),(231,1),(236,1),(309,1),(312,1)}
       185:{1,3,5,7}:{(134,1),(135,1),(139,1),(142,1),(226,1),(232,1),(236,1),(237,1),(313,1),(322,1),(324,1),(387,1)}
       186:{2,3,6,7}:{(135,1),(136,1),(143,1),(213,1),(227,1),(233,1),(237,1)}
       187:{3,5,6,7}:{(136,1),(137,1),(214,1),(234,1),(238,1),(387,1),(420,1)}
       188:{2,3,6}:{(138,1),(140,1),(144,1),(228,1),(239,1),(240,1)}
       189:{2,7}:{(138,1),(139,1)}
       190:{2,4}:{(140,1),(146,1),(230,1)}
       191:{1,3,5,6}:{(141,1),(144,1),(218,1),(235,1),(241,1),(242,1),(244,1),(311,1),(331,1),(375,1),(376,1),(390,1),(415,1),(426,1)}
       192:{1,2,5,7}:{(141,1),(142,1),(145,1),(236,1),(242,1),(243,1),(328,1),(377,1)}
       193:{1,6,7}:{(142,1),(143,1),(220,1),(384,1)}
       194:{1,3,4,6}:{(144,1),(146,1),(239,1),(241,1),(244,1),(245,1),(321,1),(331,1)}
       195:{1,3,7}:{(144,1),(145,1),(240,1),(322,1)}
       196:{1,3,4}:{(147,1),(246,1),(266,1),(339,1)}
       197:{2,3,5}:{(147,1),(148,1),(151,1),(246,1),(247,1),(334,1),(392,1)}
       198:{1,3,6}:{(148,1),(154,1),(247,1),(248,1),(249,1)}
       199:{2,3,7}:{(148,1),(149,1),(155,1),(249,1),(348,1)}
       200:{2,4,5}:{(150,1),(151,1),(173,1),(246,1),(250,1),(251,1),(334,1),(394,1),(401,1)}
       201:{1,5}:{(151,1),(154,1)}
       202:{2,5,7}:{(151,1),(152,1),(155,1),(253,1),(254,1)}
       203:{1,3,6}:{(152,1),(153,1),(162,1),(254,1)}
       204:{1,5,6}:{(153,1),(156,1),(163,1)}
       205:{1,2,4,6}:{(154,1),(157,1),(164,1),(179,1),(248,1),(252,1),(255,1),(256,1),(276,1),(333,1),(336,1),(338,1),(395,1)}
       206:{1,4,7}:{(154,1),(155,1),(249,1),(253,1)}
       207:{1,3}:{(157,1),(167,1)}
       208:{1,4,5}:{(158,1),(160,1),(181,1),(257,1),(266,1),(336,1),(422,1)}
       209:{2,4,5,7}:{(158,1),(159,1),(161,1),(182,1),(258,1),(259,1),(281,1),(343,1),(398,1)}
       210:{3,4,6}:{(159,1),(162,1),(259,1),(260,1),(264,1),(406,1),(425,1)}
       211:{2,5}:{(160,1),(164,1)}
       212:{1,3,5,7}:{(160,1),(161,1),(165,1),(169,1),(253,1),(258,1),(262,1),(263,1),(340,1),(354,1),(423,1)}
       213:{2,3,6}:{(161,1),(162,1),(170,1),(254,1),(259,1),(263,1),(361,1),(406,1),(424,1)}
       214:{3,5,6}:{(162,1),(163,1),(166,1),(264,1)}
       215:{2,3,6}:{(164,1),(167,1),(171,1),(255,1),(261,1),(265,1),(278,1),(392,1)}
       216:{2,4,7}:{(164,1),(165,1),(189,1),(262,1),(265,1),(348,1)}
       217:{4,5,7}:{(166,1),(264,1),(408,1),(422,1)}
       218:{1,3,5}:{(168,1),(171,1),(261,1),(266,1)}
       219:{1,2,5,7}:{(168,1),(169,1),(172,1),(262,1),(267,1),(268,1),(423,1)}
       220:{1,6}:{(169,1),(170,1)}
       221:{1,3,7}:{(171,1),(172,1),(265,1)}
       222:{2,3,6}:{(173,1),(250,1),(269,1),(270,1),(278,1)}
       223:{1,4,6}:{(173,1),(175,1),(251,1),(269,1),(272,1)}
       224:{2,4,7}:{(173,1),(174,1),(176,1),(270,1),(272,1),(348,1)}
       225:{1,2,5,6}:{(175,1),(179,1),(184,1),(252,1),(271,1),(273,1),(274,1),(338,1),(401,1),(424,1)}
       226:{1,5,7}:{(175,1),(176,1),(272,1),(275,1)}
       227:{2,6,7}:{(176,1),(177,1),(254,1),(275,1),(424,1)}
       228:{1,3,6}:{(179,1),(180,1),(188,1),(276,1),(277,1)}
       229:{1,2,7}:{(179,1),(189,1),(277,1)}
       230:{1,4}:{(180,1),(190,1)}
       231:{2,4,6}:{(181,1),(184,1),(257,1),(278,1),(279,1)}
       232:{1,4,7}:{(181,1),(182,1),(185,1),(279,1),(408,1)}
       233:{2,4,6,7}:{(182,1),(183,1),(186,1),(259,1),(280,1),(281,1)}
       234:{3,5,7}:{(183,1),(260,1),(281,1),(282,1)}
       235:{2,3,5,6}:{(184,1),(188,1),(191,1),(261,1),(273,1),(278,1),(283,1),(284,1),(286,1),(344,1),(347,1),(355,1),(361,1),(397,1),(398,1),(401,1),(406,1),(409,1),(424,1)}
       236:{2,5,7}:{(184,1),(185,1),(189,1),(279,1),(285,1),(348,1)}
       237:{1,3,6,7}:{(185,1),(186,1),(193,1),(263,1),(275,1),(280,1),(285,1),(357,1)}
       238:{4,6,7}:{(187,1),(264,1),(282,1),(408,1),(425,1)}
       239:{2,4,6}:{(188,1),(190,1),(194,1),(276,1),(286,1),(287,1),(361,1)}
       240:{2,3,7}:{(188,1),(189,1),(195,1),(277,1),(287,1)}
       241:{1,4,6}:{(191,1),(266,1),(283,1),(288,1),(289,1)}
       242:{1,3,5,7}:{(191,1),(192,1),(195,1),(284,1),(289,1),(290,1),(363,1),(400,1),(423,1)}
       243:{1,2,6,7}:{(192,1),(193,1),(268,1),(285,1),(290,1),(361,1)}
       244:{1,3,5}:{(194,1),(286,1),(288,1),(355,1)}
       245:{1,3,4,7}:{(194,1),(195,1),(287,1),(289,1),(291,1),(356,1)}
       246:{2,4}:{(196,1),(197,1),(293,1)}
       247:{1,3,5}:{(197,1),(198,1),(201,1),(293,1),(294,1),(365,1)}
       248:{1,2,6}:{(198,1),(294,1),(295,1),(312,1)}
       249:{1,3,7}:{(198,1),(199,1),(206,1),(295,1)}
       250:{2,3,5}:{(200,1),(222,1),(292,1),(296,1),(302,1)}
       251:{1,4,5}:{(200,1),(201,1),(223,1),(293,1),(296,1),(411,1),(415,1)}
       252:{1,2,5}:{(201,1),(205,1),(211,1),(298,1),(319,1),(412,1)}
       253:{1,5,7}:{(201,1),(202,1),(206,1),(300,1)}
       254:{2,6}:{(202,1),(203,1),(300,1)}
       255:{1,3,6}:{(205,1),(207,1),(215,1),(298,1),(301,1),(365,1)}
       256:{1,2,4,7}:{(205,1),(206,1),(216,1),(229,1),(295,1),(299,1),(301,1),(320,1),(369,1)}
       257:{2,4,5}:{(208,1),(211,1),(231,1),(302,1),(307,1)}
       258:{1,4,5,7}:{(208,1),(209,1),(212,1),(232,1),(303,1),(304,1),(310,1),(324,1),(369,1),(375,1),(412,1)}
       259:{2,4,6}:{(209,1),(210,1),(213,1),(304,1),(305,1)}
       260:{3,5,6}:{(210,1),(234,1),(305,1),(306,1),(413,1)}
       261:{2,3,5}:{(211,1),(215,1),(218,1),(298,1),(302,1),(307,1)}
       262:{2,5,7}:{(211,1),(212,1),(216,1),(309,1)}
       263:{1,3,6}:{(212,1),(213,1),(220,1),(300,1),(304,1),(309,1),(372,1),(384,1),(426,1)}
       264:{4,6}:{(214,1),(217,1)}
       265:{2,3,7}:{(215,1),(216,1),(221,1),(301,1),(322,1)}
       266:{1,4}:{(218,1),(307,1)}
       267:{1,3,5,7}:{(218,1),(219,1),(221,1),(308,1),(310,1),(311,1),(375,1)}
       268:{1,2,6}:{(219,1),(220,1),(309,1),(311,1),(426,1)}
       269:{1,3,6}:{(222,1),(223,1),(296,1),(312,1),(313,1)}
       270:{2,3,7}:{(222,1),(224,1),(313,1),(322,1)}
       271:{1,2,4,6}:{(223,1),(225,1),(231,1),(297,1),(312,1),(314,1),(315,1),(316,1),(378,1)}
       272:{1,4,7}:{(223,1),(224,1),(226,1),(313,1)}
       273:{1,3,5,6}:{(225,1),(228,1),(235,1),(298,1),(314,1),(316,1),(317,1),(319,1),(370,1),(380,1),(384,1),(412,1),(418,1),(419,1)}
       274:{1,2,5,7}:{(225,1),(226,1),(229,1),(236,1),(315,1),(317,1),(318,1),(417,1)}
       275:{1,6,7}:{(226,1),(227,1),(300,1),(426,1)}
       276:{1,4,6}:{(228,1),(230,1),(239,1),(319,1),(320,1),(384,1)}
       277:{1,3,7}:{(228,1),(229,1),(240,1),(320,1)}
       278:{3,6}:{(231,1),(302,1),(322,1)}
       279:{2,4,7}:{(231,1),(232,1),(236,1),(322,1)}
       280:{1,4,6,7}:{(232,1),(233,1),(237,1),(304,1),(323,1),(324,1)}
       281:{2,5,7}:{(233,1),(234,1),(305,1),(324,1)}
       282:{4,5,7}:{(234,1),(238,1),(306,1)}
       283:{2,4,6}:{(235,1),(241,1),(307,1),(316,1),(321,1),(325,1),(326,1),(414,1)}
       284:{2,3,5,7}:{(235,1),(236,1),(240,1),(242,1),(317,1),(322,1),(326,1),(327,1),(328,1),(379,1),(385,1),(387,1),(389,1),(417,1)}
       285:{2,6,7}:{(236,1),(237,1),(309,1)}
       286:{2,5}:{(239,1),(244,1),(319,1)}
       287:{2,4,7}:{(239,1),(240,1),(245,1),(320,1),(328,1)}
       288:{1,4,5}:{(241,1),(244,1),(325,1),(375,1),(415,1)}
       289:{1,4,7}:{(241,1),(242,1),(326,1)}
       290:{1,3,6,7}:{(242,1),(243,1),(311,1),(327,1),(330,1),(331,1),(426,1)}
       291:{1,3,5,7}:{(244,1),(245,1),(328,1),(329,1),(331,1),(385,1)}
       292:{2,3,4}:{(246,1),(250,1),(332,1),(339,1),(392,1),(394,1)}
       293:{1,4}:{(246,1),(247,1)}
       294:{1,2,5}:{(247,1),(248,1),(333,1),(334,1)}
       295:{1,2,7}:{(248,1),(249,1),(348,1)}
       296:{1,3,5}:{(250,1),(251,1),(269,1),(332,1),(334,1)}
       297:{1,2,4,5}:{(251,1),(252,1),(257,1),(271,1),(333,1),(334,1),(335,1),(336,1),(351,1),(394,1),(401,1)}
       298:{1,3,5}:{(252,1),(255,1),(261,1),(336,1)}
       299:{1,2,5,7}:{(252,1),(253,1),(256,1),(262,1),(337,1),(338,1),(354,1)}
       300:{1,6}:{(253,1),(254,1)}
       301:{1,3,7}:{(255,1),(256,1),(265,1)}
       302:{3,5}:{(257,1),(278,1),(339,1)}
       303:{2,4,5,7}:{(257,1),(258,1),(262,1),(279,1),(340,1),(341,1),(343,1),(358,1),(398,1),(408,1),(422,1)}
       304:{1,4,6}:{(258,1),(259,1),(263,1),(341,1),(342,1)}
       305:{2,5,6}:{(259,1),(260,1),(281,1),(342,1),(398,1)}
       306:{4,5,6}:{(260,1),(264,1),(282,1),(422,1),(425,1)}
       307:{2,4}:{(261,1),(266,1),(336,1),(339,1)}
       308:{2,3,5,7}:{(261,1),(262,1),(265,1),(267,1),(337,1),(340,1),(343,1),(344,1),(398,1)}
       309:{2,6}:{(262,1),(263,1)}
       310:{1,4,7}:{(266,1),(267,1),(343,1),(345,1)}
       311:{1,3,6}:{(267,1),(268,1),(344,1),(345,1)}
       312:{2,6}:{(269,1),(334,1),(348,1)}
       313:{1,3,7}:{(269,1),(270,1),(272,1),(348,1)}
       314:{1,3,6}:{(271,1),(278,1),(335,1),(347,1),(350,1)}
       315:{1,2,4,7}:{(271,1),(272,1),(274,1),(279,1),(348,1),(350,1),(352,1),(402,1)}
       316:{1,4,6}:{(273,1),(283,1),(336,1),(351,1),(352,1)}
       317:{1,3,5,7}:{(273,1),(274,1),(277,1),(284,1),(350,1),(352,1),(353,1),(354,1),(405,1)}
       318:{1,2,6,7}:{(274,1),(275,1),(285,1),(338,1),(353,1),(424,1)}
       319:{1,5}:{(276,1),(286,1)}
       320:{1,4,7}:{(276,1),(277,1),(287,1),(354,1)}
       321:{3,4,6}:{(278,1),(283,1),(339,1),(355,1),(356,1),(406,1)}
       322:{3,7}:{(278,1),(279,1)}
       323:{2,4,6,7}:{(279,1),(280,1),(285,1),(341,1),(357,1),(358,1),(408,1)}
       324:{1,5,7}:{(280,1),(281,1),(342,1),(358,1)}
       325:{2,4,5}:{(283,1),(286,1),(288,1),(351,1),(355,1),(398,1),(401,1),(422,1)}
       326:{2,4,7}:{(283,1),(284,1),(289,1),(352,1),(356,1),(408,1)}
       327:{2,3,6,7}:{(284,1),(285,1),(290,1),(344,1),(353,1),(357,1),(360,1),(361,1),(406,1),(424,1)}
       328:{2,5,7}:{(286,1),(287,1),(291,1),(354,1),(361,1)}
       329:{1,4,5,7}:{(288,1),(289,1),(291,1),(359,1),(362,1),(363,1),(423,1)}
       330:{1,4,6,7}:{(289,1),(290,1),(345,1),(360,1),(362,1),(363,1)}
       331:{1,3,6}:{(291,1),(361,1),(362,1),(406,1)}
       332:{1,3,4}:{(292,1),(293,1),(296,1),(364,1),(365,1),(410,1),(411,1)}
       333:{1,2,4}:{(293,1),(294,1),(364,1),(365,1)}
       334:{2,5}:{(296,1),(312,1),(364,1)}
       335:{1,3,5}:{(297,1),(302,1),(314,1),(365,1),(367,1),(368,1)}
       336:{1,4}:{(298,1),(307,1)}
       337:{1,3,5,7}:{(298,1),(299,1),(301,1),(308,1),(369,1),(370,1),(412,1)}
       338:{1,2,6}:{(299,1),(300,1),(309,1),(370,1),(384,1)}
       339:{3,4}:{(302,1),(307,1)}
       340:{3,5,7}:{(302,1),(303,1),(322,1),(371,1),(372,1),(413,1)}
       341:{2,4,6}:{(303,1),(304,1),(309,1),(372,1),(373,1),(414,1)}
       342:{1,5,6}:{(304,1),(305,1),(324,1),(373,1),(375,1),(412,1)}
       343:{2,4,7}:{(307,1),(308,1),(310,1),(369,1),(371,1),(374,1)}
       344:{2,3,6}:{(308,1),(309,1),(311,1),(370,1),(372,1),(374,1)}
       345:{1,4,6}:{(310,1),(311,1),(374,1),(375,1)}
       346:{1,2,6}:{(312,1),(366,1),(376,1),(377,1)}
       347:{2,3,6}:{(312,1),(314,1),(367,1),(376,1),(378,1),(379,1)}
       348:{2,7}:{(312,1),(313,1)}
       349:{1,3,4,6}:{(314,1),(316,1),(321,1),(368,1),(378,1),(380,1),(381,1),(418,1)}
       350:{1,3,7}:{(314,1),(315,1),(322,1),(379,1)}
       351:{1,4,5}:{(316,1),(319,1),(325,1),(380,1),(412,1)}
       352:{1,4,7}:{(316,1),(317,1),(326,1)}
       353:{1,3,6,7}:{(317,1),(318,1),(327,1),(370,1),(383,1),(384,1),(418,1)}
       354:{1,5,7}:{(319,1),(320,1),(328,1),(384,1)}
       355:{3,5}:{(321,1),(325,1)}
       356:{3,4,7}:{(321,1),(322,1),(326,1),(385,1)}
       357:{3,6,7}:{(322,1),(323,1),(372,1),(387,1)}
       358:{2,5,7}:{(323,1),(324,1),(373,1),(387,1)}
       359:{2,4,5,7}:{(325,1),(326,1),(328,1),(329,1),(382,1),(385,1),(388,1),(389,1),(417,1),(421,1)}
       360:{2,4,6,7}:{(326,1),(327,1),(330,1),(374,1),(383,1),(386,1),(388,1),(389,1)}
       361:{2,6}:{(328,1),(331,1),(384,1)}
       362:{1,4,6}:{(329,1),(331,1),(388,1),(390,1),(426,1)}
       363:{1,5,7}:{(330,1),(375,1),(389,1),(390,1)}
       364:{2,4}:{(332,1),(334,1),(392,1)}
       365:{1,3}:{(333,1),(392,1)}
       366:{1,2,5}:{(334,1),(346,1),(391,1),(393,1)}
       367:{2,3,5}:{(334,1),(335,1),(347,1),(392,1),(393,1),(394,1),(401,1)}
       368:{1,3,4}:{(335,1),(336,1),(339,1),(394,1)}
       369:{1,4,7}:{(336,1),(337,1),(343,1),(395,1)}
       370:{1,3,6}:{(337,1),(338,1),(344,1),(395,1)}
       371:{3,4,7}:{(339,1),(340,1),(343,1),(396,1),(408,1)}
       372:{3,6}:{(340,1),(341,1)}
       373:{2,5,6}:{(341,1),(342,1),(358,1),(397,1),(398,1)}
       374:{2,4,6}:{(343,1),(344,1),(345,1),(395,1),(396,1),(398,1)}
       375:{1,5}:{(345,1),(398,1)}
       376:{1,3,6}:{(346,1),(347,1),(393,1),(399,1),(400,1)}
       377:{1,2,7}:{(346,1),(348,1),(400,1)}
       378:{2,4,6}:{(347,1),(349,1),(394,1),(399,1),(401,1),(402,1),(424,1)}
       379:{2,3,7}:{(347,1),(348,1),(350,1),(400,1),(402,1)}
       380:{1,3,5}:{(349,1),(351,1),(355,1),(401,1)}
       381:{1,3,4,7}:{(349,1),(350,1),(352,1),(356,1),(402,1),(403,1)}
       382:{1,4,5,7}:{(351,1),(352,1),(354,1),(359,1),(403,1),(404,1),(405,1)}
       383:{1,4,6,7}:{(352,1),(353,1),(360,1),(395,1),(404,1),(405,1)}
       384:{1,6}:{(354,1),(361,1)}
       385:{3,5,7}:{(355,1),(356,1),(359,1),(406,1)}
       386:{3,4,6,7}:{(356,1),(357,1),(360,1),(396,1),(406,1),(407,1),(408,1),(425,1)}
       387:{3,5,7}:{(357,1),(358,1),(397,1),(408,1)}
       388:{2,4,6}:{(359,1),(361,1),(362,1),(404,1),(406,1),(409,1),(424,1),(425,1)}
       389:{2,5,7}:{(360,1),(363,1),(398,1),(405,1),(407,1),(409,1)}
       390:{1,5,6}:{(362,1),(363,1),(409,1)}
       391:{1,2,4}:{(364,1),(366,1),(410,1),(411,1)}
       392:{2,3}:{(364,1),(365,1),(410,1)}
       393:{1,3,5}:{(366,1),(367,1),(376,1),(410,1),(411,1),(415,1)}
       394:{2,4}:{(367,1),(368,1),(411,1)}
       395:{1,4,6}:{(369,1),(370,1),(374,1),(412,1)}
       396:{3,4,6}:{(371,1),(372,1),(374,1),(413,1),(414,1)}
       397:{3,5,6}:{(372,1),(373,1),(387,1),(413,1),(414,1)}
       398:{2,5}:{(374,1),(375,1),(412,1),(413,1)}
       399:{1,4,6}:{(376,1),(378,1),(411,1),(415,1),(416,1),(426,1)}
       400:{1,3,7}:{(376,1),(377,1),(379,1),(416,1)}
       401:{2,5}:{(378,1),(380,1),(415,1)}
       402:{2,4,7}:{(378,1),(379,1),(381,1),(416,1),(417,1)}
       403:{1,3,5,7}:{(380,1),(381,1),(382,1),(385,1),(417,1),(418,1)}
       404:{1,4,6}:{(382,1),(384,1),(388,1),(418,1),(419,1)}
       405:{1,5,7}:{(383,1),(389,1),(412,1),(419,1)}
       406:{3,6}:{(385,1),(388,1)}
       407:{3,5,7}:{(386,1),(389,1),(413,1),(420,1),(421,1)}
       408:{4,7}:{(387,1),(414,1)}
       409:{2,5,6}:{(388,1),(389,1),(390,1),(419,1),(420,1)}
       410:{1,3}:{(391,1),(392,1)}
       411:{1,4}:{(393,1),(394,1)}
       412:{1,5}:{(395,1),(398,1)}
       413:{3,5}:{(396,1),(398,1),(422,1)}
       414:{4,6}:{(397,1),(408,1),(422,1)}
       415:{1,5}:{(399,1),(401,1)}
       416:{1,4,7}:{(399,1),(400,1),(402,1),(423,1)}
       417:{2,5,7}:{(401,1),(402,1),(403,1),(423,1),(424,1)}
       418:{1,3,6}:{(403,1),(404,1),(406,1),(424,1)}
       419:{1,5,6}:{(404,1),(405,1),(409,1)}
       420:{3,5,6}:{(406,1),(407,1),(409,1),(425,1)}
       421:{4,5,7}:{(407,1),(408,1),(422,1),(425,1)}
       422:{4,5}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 810 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(17,1),(18,1),(115,1),(172,1),(229,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(17,1),(24,1),(47,1),(49,1),(58,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(32,1),(136,1),(254,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(145,1),(184,1),(202,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(29,1),(37,1),(73,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(38,1),(72,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(14,1),(15,1),(51,1),(58,1),(106,1),(172,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(15,1),(16,1),(17,1),(107,1),(152,1)}
         8:{1,2,5,6}:{(3,1),(16,1),(18,1),(21,1),(99,1),(116,1),(174,1),(213,1),(216,1)}
         9:{1,2,4,5,7}:{(3,1),(17,1),(18,1),(19,1),(22,1),(48,1),(50,1),(64,1),(99,1),(107,1),(113,1),(156,1),(216,1),(218,1),(229,1),(265,1)}
        10:{1,4,6,7}:{(4,1),(14,1),(20,1),(45,1),(54,1),(100,1)}
        11:{2,5,7}:{(4,1),(5,1),(20,1),(21,1),(99,1)}
        12:{1,3,5,6}:{(5,1),(21,1),(24,1),(58,1)}
        13:{1,4,5,7}:{(5,1),(17,1),(22,1),(24,1),(48,1),(107,1)}
        14:{1,3,6,7}:{(6,1),(10,1),(26,1),(27,1),(75,1),(79,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(11,1),(27,1),(28,1),(29,1),(38,1),(80,1),(121,1),(202,1),(254,1)}
        16:{1,3,5,6}:{(7,1),(8,1),(28,1),(30,1),(32,1),(72,1),(136,1),(183,1),(186,1),(243,1)}
        17:{1,4,7}:{(7,1),(29,1),(30,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(37,1),(73,1),(89,1),(136,1),(143,1),(204,1)}
        19:{1,3,5,7}:{(9,1),(31,1),(32,1),(33,1),(38,1),(72,1),(188,1),(243,1),(244,1),(254,1)}
        20:{1,5,7}:{(10,1),(11,1),(34,1),(129,1)}
        21:{2,5,6}:{(11,1),(12,1),(34,1),(37,1)}
        22:{2,4,5,7}:{(11,1),(13,1),(29,1),(35,1),(37,1),(38,1),(69,1),(80,1)}
        23:{1,3,5,6,7}:{(12,1),(36,1),(39,1),(82,1),(86,1),(260,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(136,1)}
        25:{1,3,4,5,7}:{(13,1),(31,1),(38,1),(41,1),(42,1),(72,1),(85,1),(86,1),(125,1),(138,1),(149,1),(189,1),(201,1),(210,1),(244,1),(254,1),(259,1),(293,1)}
        26:{1,2,6,7}:{(14,1),(43,1),(102,1),(106,1),(165,1),(172,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(20,1),(43,1),(44,1),(45,1),(92,1)}
        28:{2,3,5,6}:{(15,1),(16,1),(21,1),(44,1),(46,1),(51,1),(58,1),(96,1),(99,1),(106,1),(151,1),(154,1),(174,1),(219,1),(232,1)}
        29:{2,4,7}:{(15,1),(17,1),(45,1),(46,1),(47,1)}
        30:{1,4,6}:{(16,1),(17,1),(46,1),(48,1),(265,1)}
        31:{1,3,4,7}:{(17,1),(19,1),(47,1),(49,1),(50,1),(265,1),(266,1)}
        32:{1,3,6}:{(18,1),(19,1),(51,1),(58,1),(232,1)}
        33:{2,3,5,7}:{(19,1),(50,1),(51,1),(52,1),(99,1),(113,1),(160,1),(219,1)}
        34:{1,5,6}:{(20,1),(21,1),(54,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(45,1),(54,1),(55,1),(93,1)}
        36:{2,5,6,7}:{(21,1),(23,1),(53,1),(56,1),(114,1),(277,1)}
        37:{2,4,6}:{(21,1),(22,1),(24,1),(54,1),(58,1),(106,1)}
        38:{3,5,7}:{(22,1),(47,1),(58,1),(96,1)}
        39:{1,4,6,7}:{(23,1),(24,1),(56,1),(60,1),(165,1),(279,1)}
        40:{1,4,5,6}:{(24,1),(48,1),(57,1),(60,1),(62,1),(167,1),(173,1),(237,1),(279,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(58,1),(62,1),(63,1),(110,1),(112,1),(173,1),(232,1),(279,1),(305,1)}
        42:{2,4,5,7}:{(25,1),(50,1),(59,1),(63,1),(64,1),(99,1),(113,1),(114,1),(157,1),(170,1),(176,1),(218,1),(229,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(65,1),(66,1),(80,1),(194,1),(202,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(34,1),(65,1),(67,1),(75,1),(79,1),(120,1),(122,1),(129,1),(192,1)}
        45:{1,4,7}:{(27,1),(29,1),(67,1)}
        46:{2,4,6}:{(28,1),(29,1),(30,1),(67,1),(69,1),(70,1),(245,1)}
        47:{3,4,7}:{(29,1),(38,1),(70,1),(254,1)}
        48:{1,4,5}:{(30,1),(69,1),(72,1),(186,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(32,1),(70,1),(72,1),(73,1)}
        50:{2,4,7}:{(31,1),(33,1),(73,1),(74,1),(245,1)}
        51:{2,3,6}:{(32,1),(33,1),(73,1),(75,1),(143,1)}
        52:{1,3,5,7}:{(33,1),(74,1),(75,1),(76,1),(129,1),(131,1),(192,1)}
        53:{1,5,6,7}:{(34,1),(36,1),(77,1),(145,1),(289,1)}
        54:{1,4,6}:{(34,1),(35,1),(37,1),(79,1)}
        55:{1,3,5,7}:{(35,1),(38,1),(68,1),(79,1),(80,1),(122,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(39,1),(77,1),(81,1),(82,1),(133,1),(294,1)}
        57:{2,4,5,6}:{(37,1),(40,1),(69,1),(78,1),(81,1),(83,1),(88,1),(135,1),(141,1),(204,1),(258,1),(294,1)}
        58:{3,6}:{(37,1),(38,1)}
        59:{2,3,5,7}:{(38,1),(42,1),(71,1),(80,1),(84,1),(85,1),(126,1),(244,1),(254,1),(293,1),(309,1)}
        60:{1,4,5,7}:{(39,1),(40,1),(81,1),(86,1),(194,1),(201,1)}
        61:{1,3,4,6,7}:{(39,1),(41,1),(82,1),(86,1),(87,1),(138,1),(140,1),(201,1),(254,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(72,1),(83,1),(86,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(84,1),(88,1),(89,1),(143,1)}
        64:{1,4,5,7}:{(42,1),(74,1),(85,1),(89,1),(129,1),(145,1),(189,1),(200,1),(201,1),(253,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(91,1),(102,1),(106,1),(154,1),(161,1),(167,1),(174,1)}
        66:{1,2,4,7}:{(43,1),(45,1),(91,1),(92,1),(95,1),(222,1),(229,1),(267,1)}
        67:{1,4,6}:{(44,1),(45,1),(46,1),(93,1),(220,1)}
        68:{1,3,4,7}:{(45,1),(47,1),(55,1),(92,1),(94,1),(95,1)}
        69:{2,4,5}:{(46,1),(48,1),(93,1),(96,1),(99,1),(154,1)}
        70:{3,4,6}:{(46,1),(47,1),(58,1),(96,1),(232,1),(266,1)}
        71:{2,3,4,7}:{(47,1),(50,1),(59,1),(95,1),(97,1),(98,1),(160,1),(170,1),(176,1),(221,1),(266,1),(275,1),(300,1)}
        72:{1,3,5}:{(48,1),(49,1),(96,1),(99,1)}
        73:{2,4,6}:{(49,1),(50,1),(51,1),(99,1),(100,1)}
        74:{1,4,7}:{(50,1),(52,1),(100,1),(220,1)}
        75:{1,3,6}:{(51,1),(52,1),(100,1),(102,1)}
        76:{1,2,5,7}:{(52,1),(101,1),(102,1),(113,1),(161,1),(312,1)}
        77:{1,4,6,7}:{(53,1),(54,1),(56,1),(103,1),(104,1),(302,1)}
        78:{1,4,5,6}:{(54,1),(57,1),(93,1),(103,1),(105,1),(116,1),(173,1),(274,1),(302,1)}
        79:{1,3,6}:{(54,1),(55,1),(58,1),(106,1)}
        80:{2,5,7}:{(55,1),(95,1),(106,1),(107,1),(154,1)}
        81:{2,4,5,7}:{(56,1),(57,1),(60,1),(103,1),(108,1),(114,1),(164,1),(170,1),(229,1)}
        82:{3,6,7}:{(56,1),(58,1),(108,1),(305,1)}
        83:{3,5,6}:{(57,1),(58,1),(96,1),(108,1),(110,1),(232,1),(278,1),(305,1)}
        84:{2,3,6}:{(58,1),(59,1),(63,1),(106,1),(112,1),(232,1),(305,1),(313,1)}
        85:{1,3,5,7}:{(59,1),(64,1),(98,1),(107,1),(112,1),(113,1),(158,1),(312,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(108,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(63,1),(109,1),(114,1),(115,1),(170,1),(172,1),(229,1)}
        88:{2,5,6}:{(62,1),(63,1),(99,1),(114,1),(116,1),(234,1)}
        89:{1,4,6}:{(63,1),(64,1),(112,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(101,1),(113,1),(117,1),(118,1),(161,1),(176,1),(177,1),(218,1),(220,1),(229,1),(234,1),(235,1),(237,1),(276,1),(312,1)}
        91:{1,2,4,6}:{(65,1),(66,1),(67,1),(119,1),(120,1),(123,1),(197,1),(204,1),(250,1)}
        92:{1,3,7}:{(66,1),(120,1),(121,1),(254,1)}
        93:{1,4,5}:{(67,1),(69,1),(122,1),(129,1)}
        94:{1,3,4,6}:{(67,1),(68,1),(70,1),(79,1),(120,1),(122,1),(123,1),(181,1)}
        95:{2,4,7}:{(68,1),(80,1),(121,1),(123,1),(124,1)}
        96:{3,5}:{(69,1),(70,1)}
        97:{2,3,4,6}:{(70,1),(71,1),(73,1),(84,1),(123,1),(126,1),(127,1),(141,1),(191,1),(196,1),(206,1),(238,1),(245,1),(257,1),(291,1)}
        98:{1,3,4,7}:{(71,1),(74,1),(85,1),(124,1),(127,1),(128,1),(131,1),(188,1),(200,1),(201,1),(246,1),(254,1),(308,1)}
        99:{2,5}:{(72,1),(73,1),(129,1)}
       100:{1,4,6}:{(73,1),(74,1),(75,1),(129,1)}
       101:{1,2,4,7}:{(74,1),(76,1),(128,1),(130,1),(131,1),(285,1),(308,1)}
       102:{1,2,6}:{(75,1),(76,1),(143,1),(314,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(81,1),(132,1),(145,1),(201,1)}
       104:{1,3,6,7}:{(77,1),(79,1),(82,1),(132,1),(133,1),(310,1)}
       105:{1,3,5,6}:{(78,1),(79,1),(83,1),(122,1),(132,1),(134,1),(135,1),(292,1),(310,1)}
       106:{2,6}:{(79,1),(80,1),(136,1)}
       107:{1,5,7}:{(80,1),(124,1),(136,1),(186,1)}
       108:{3,5,7}:{(81,1),(82,1),(83,1),(138,1),(254,1)}
       109:{2,3,6,7}:{(82,1),(84,1),(87,1),(133,1),(139,1),(140,1),(254,1)}
       110:{3,4,6}:{(83,1),(125,1),(138,1),(141,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(88,1),(126,1),(135,1),(139,1),(141,1),(142,1),(196,1)}
       112:{1,3,6}:{(84,1),(85,1),(89,1),(136,1),(143,1),(314,1)}
       113:{2,5,7}:{(85,1),(128,1),(143,1),(190,1)}
       114:{2,5,7}:{(86,1),(87,1),(88,1),(145,1)}
       115:{1,4,6,7}:{(87,1),(89,1),(140,1),(145,1),(201,1)}
       116:{1,5,6}:{(88,1),(89,1),(129,1),(145,1),(253,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(143,1),(147,1),(148,1),(204,1),(206,1),(209,1),(294,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(131,1),(144,1),(148,1),(149,1),(192,1),(210,1),(244,1),(254,1),(293,1)}
       119:{1,2,4,5}:{(91,1),(93,1),(150,1),(154,1),(161,1),(211,1),(215,1),(218,1),(220,1),(263,1),(295,1)}
       120:{1,3,6}:{(91,1),(92,1),(150,1),(151,1),(232,1)}
       121:{2,3,7}:{(92,1),(95,1),(151,1),(152,1),(267,1)}
       122:{1,3,5}:{(93,1),(94,1),(96,1),(154,1)}
       123:{2,4,6}:{(94,1),(95,1),(106,1),(151,1),(154,1),(155,1),(211,1)}
       124:{1,4,7}:{(95,1),(107,1),(152,1),(155,1)}
       125:{3,4,5}:{(96,1),(110,1),(157,1),(266,1),(278,1)}
       126:{2,3,5}:{(96,1),(97,1),(99,1),(154,1),(157,1),(158,1),(234,1),(278,1),(304,1)}
       127:{1,3,4,6}:{(97,1),(98,1),(100,1),(112,1),(155,1),(158,1),(159,1),(162,1),(173,1),(217,1),(220,1),(225,1),(228,1),(232,1),(261,1),(265,1),(266,1),(303,1)}
       128:{2,4,7}:{(98,1),(113,1),(159,1),(160,1),(267,1)}
       129:{1,5}:{(99,1),(100,1)}
       130:{1,2,4,6}:{(100,1),(101,1),(102,1),(159,1),(161,1),(162,1),(220,1),(271,1),(295,1),(303,1)}
       131:{1,3,7}:{(101,1),(160,1),(162,1)}
       132:{1,3,5,7}:{(103,1),(104,1),(105,1),(108,1),(163,1),(164,1)}
       133:{2,6,7}:{(104,1),(106,1),(164,1),(165,1),(313,1)}
       134:{1,3,4,6}:{(105,1),(110,1),(153,1),(163,1),(166,1),(173,1),(225,1),(232,1)}
       135:{2,5,6}:{(105,1),(106,1),(154,1),(164,1),(166,1),(167,1),(304,1),(313,1)}
       136:{1,6}:{(106,1),(107,1)}
       137:{1,2,5,7}:{(107,1),(113,1),(156,1),(168,1),(169,1),(216,1)}
       138:{3,4,7}:{(108,1),(110,1),(170,1)}
       139:{2,3,5,7}:{(108,1),(109,1),(111,1),(114,1),(164,1),(170,1),(171,1),(221,1)}
       140:{1,3,6,7}:{(109,1),(112,1),(115,1),(165,1),(171,1),(172,1)}
       141:{2,4,6}:{(110,1),(111,1),(157,1),(170,1),(173,1)}
       142:{1,3,5,6}:{(111,1),(112,1),(116,1),(158,1),(167,1),(171,1),(173,1),(174,1),(225,1),(232,1)}
       143:{2,6}:{(112,1),(113,1)}
       144:{2,3,5,7}:{(113,1),(118,1),(160,1),(169,1),(175,1),(176,1),(219,1),(234,1)}
       145:{1,5,7}:{(114,1),(115,1),(116,1)}
       146:{1,2,4,6,7}:{(115,1),(117,1),(172,1),(177,1),(178,1),(229,1),(231,1),(235,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(161,1),(174,1),(177,1),(179,1),(234,1),(271,1),(277,1)}
       148:{1,3,6}:{(117,1),(118,1),(175,1),(232,1),(305,1)}
       149:{1,3,4,7}:{(118,1),(176,1),(180,1),(220,1),(235,1),(266,1),(275,1)}
       150:{1,3,5}:{(119,1),(120,1),(181,1),(182,1),(244,1),(306,1)}
       151:{2,3,6}:{(120,1),(121,1),(123,1),(182,1),(183,1),(250,1)}
       152:{1,3,7}:{(121,1),(124,1),(183,1),(184,1)}
       153:{1,3,4,5}:{(122,1),(125,1),(134,1),(181,1),(185,1),(189,1),(241,1),(244,1),(284,1),(292,1)}
       154:{2,5}:{(122,1),(123,1),(186,1)}
       155:{1,4,6}:{(123,1),(124,1),(136,1),(183,1),(186,1),(239,1)}
       156:{1,2,4,7}:{(124,1),(128,1),(137,1),(184,1),(187,1),(188,1),(200,1)}
       157:{2,4,5}:{(125,1),(126,1),(141,1),(189,1),(245,1)}
       158:{1,3,5}:{(126,1),(127,1),(129,1),(186,1),(189,1),(190,1),(244,1),(253,1),(311,1)}
       159:{2,4,6}:{(127,1),(128,1),(143,1),(190,1),(191,1),(245,1),(250,1),(280,1)}
       160:{2,3,7}:{(128,1),(131,1),(188,1),(191,1),(254,1)}
       161:{1,2,5}:{(129,1),(130,1),(190,1),(192,1),(311,1)}
       162:{1,3,6}:{(130,1),(131,1),(191,1),(192,1),(306,1)}
       163:{1,3,4,7}:{(132,1),(134,1),(138,1),(193,1),(201,1),(246,1),(254,1)}
       164:{2,5,7}:{(132,1),(133,1),(135,1),(193,1),(194,1)}
       165:{1,6,7}:{(133,1),(136,1),(194,1),(314,1)}
       166:{2,4,6}:{(134,1),(135,1),(185,1),(193,1),(196,1),(197,1),(250,1)}
       167:{1,5,6}:{(135,1),(136,1),(186,1),(194,1),(197,1),(311,1),(314,1)}
       168:{1,2,6}:{(136,1),(137,1),(143,1),(199,1)}
       169:{1,3,5,7}:{(137,1),(144,1),(188,1),(199,1),(200,1),(243,1),(253,1)}
       170:{2,4,7}:{(138,1),(139,1),(141,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(140,1),(142,1),(145,1),(194,1),(201,1),(202,1),(246,1),(254,1)}
       172:{2,6,7}:{(140,1),(143,1),(202,1)}
       173:{1,4,6}:{(141,1),(142,1),(189,1),(201,1),(204,1)}
       174:{2,5,6}:{(142,1),(143,1),(190,1),(202,1),(204,1),(250,1)}
       175:{2,3,6}:{(143,1),(144,1),(148,1),(199,1),(206,1)}
       176:{2,4,7}:{(144,1),(149,1),(200,1),(206,1),(245,1)}
       177:{1,2,5,7}:{(145,1),(146,1),(147,1),(202,1),(207,1),(256,1),(285,1)}
       178:{1,3,6,7}:{(146,1),(148,1),(203,1),(207,1),(254,1),(314,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(192,1),(205,1),(207,1),(209,1),(210,1),(290,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(206,1),(209,1),(210,1),(257,1)}
       181:{1,3,4}:{(150,1),(211,1),(220,1),(266,1)}
       182:{2,3,5}:{(150,1),(151,1),(154,1),(211,1),(212,1),(263,1),(296,1)}
       183:{1,3,6}:{(151,1),(152,1),(155,1),(212,1),(213,1)}
       184:{1,2,7}:{(152,1),(213,1),(267,1)}
       185:{2,4,5}:{(153,1),(154,1),(166,1),(211,1),(214,1),(215,1),(263,1),(298,1),(304,1)}
       186:{1,5}:{(154,1),(155,1)}
       187:{1,2,4,6}:{(155,1),(156,1),(159,1),(168,1),(213,1),(216,1),(217,1),(228,1),(262,1),(265,1)}
       188:{1,3,7}:{(156,1),(160,1),(217,1)}
       189:{1,4,5}:{(157,1),(158,1),(173,1),(218,1),(220,1),(265,1)}
       190:{2,5}:{(158,1),(159,1)}
       191:{2,3,6}:{(159,1),(160,1),(162,1),(217,1),(219,1),(232,1),(296,1)}
       192:{1,3,5}:{(161,1),(162,1),(219,1),(220,1)}
       193:{2,4,7}:{(163,1),(164,1),(166,1),(221,1),(222,1),(267,1)}
       194:{1,5,7}:{(164,1),(165,1),(167,1),(222,1)}
       195:{1,2,6,7}:{(165,1),(168,1),(172,1),(223,1),(224,1),(313,1)}
       196:{2,3,6}:{(166,1),(214,1),(221,1),(225,1),(232,1)}
       197:{1,4,6}:{(166,1),(167,1),(215,1),(222,1),(225,1)}
       198:{1,2,5,6}:{(167,1),(168,1),(174,1),(216,1),(223,1),(226,1),(227,1),(304,1),(313,1)}
       199:{1,3,6}:{(168,1),(169,1),(175,1),(228,1)}
       200:{1,4,7}:{(169,1),(176,1),(228,1),(265,1)}
       201:{1,4,7}:{(170,1),(171,1),(173,1),(229,1)}
       202:{2,5,7}:{(171,1),(172,1),(174,1),(229,1),(267,1)}
       203:{2,3,6,7}:{(172,1),(175,1),(178,1),(224,1),(230,1),(231,1),(305,1),(313,1)}
       204:{2,4,6}:{(173,1),(174,1),(218,1),(229,1),(232,1)}
       205:{2,3,5,6}:{(174,1),(175,1),(179,1),(219,1),(227,1),(230,1),(232,1),(233,1),(234,1),(272,1),(277,1),(278,1),(304,1),(305,1),(313,1)}
       206:{2,4,6}:{(175,1),(176,1),(180,1),(228,1),(234,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(179,1),(230,1),(235,1),(299,1),(312,1)}
       208:{1,3,4,6,7}:{(178,1),(180,1),(231,1),(235,1),(236,1),(275,1),(279,1),(305,1)}
       209:{1,4,6}:{(179,1),(220,1),(233,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(234,1),(237,1),(278,1)}
       211:{2,4}:{(181,1),(182,1),(239,1)}
       212:{1,3,5}:{(182,1),(183,1),(186,1),(239,1),(240,1),(281,1)}
       213:{1,2,6}:{(183,1),(184,1),(240,1),(250,1)}
       214:{2,3,5}:{(185,1),(196,1),(238,1),(241,1),(244,1)}
       215:{1,4,5}:{(185,1),(186,1),(197,1),(239,1),(241,1),(307,1),(311,1)}
       216:{1,2,5}:{(186,1),(187,1),(190,1),(243,1),(253,1)}
       217:{1,3,6}:{(187,1),(188,1),(191,1),(243,1),(281,1)}
       218:{2,4,5}:{(189,1),(190,1),(204,1),(244,1),(245,1)}
       219:{2,3,5}:{(190,1),(191,1),(192,1),(243,1),(244,1),(245,1)}
       220:{1,4}:{(192,1),(245,1)}
       221:{2,3,7}:{(193,1),(196,1),(246,1),(254,1)}
       222:{1,4,7}:{(193,1),(194,1),(197,1),(246,1)}
       223:{1,2,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1),(309,1)}
       224:{1,3,6,7}:{(195,1),(199,1),(203,1),(248,1),(249,1),(310,1)}
       225:{1,3,6}:{(196,1),(197,1),(241,1),(246,1),(250,1)}
       226:{1,2,4,6}:{(197,1),(198,1),(204,1),(242,1),(247,1),(250,1),(251,1),(252,1),(291,1)}
       227:{1,3,5,6}:{(198,1),(199,1),(205,1),(243,1),(248,1),(251,1),(252,1),(253,1),(289,1),(292,1),(310,1)}
       228:{1,4,6}:{(199,1),(200,1),(206,1),(253,1)}
       229:{2,4,7}:{(201,1),(202,1),(204,1),(254,1)}
       230:{2,3,5,7}:{(202,1),(203,1),(205,1),(207,1),(248,1),(254,1),(255,1),(256,1),(286,1),(293,1),(309,1)}
       231:{2,4,6,7}:{(203,1),(206,1),(208,1),(249,1),(255,1),(256,1),(294,1)}
       232:{3,6}:{(204,1),(244,1),(254,1)}
       233:{2,4,6}:{(205,1),(209,1),(245,1),(252,1),(255,1),(257,1),(258,1)}
       234:{2,5}:{(206,1),(210,1),(253,1)}
       235:{1,4,7}:{(207,1),(209,1),(255,1)}
       236:{1,3,5,7}:{(208,1),(210,1),(256,1),(259,1),(260,1),(293,1)}
       237:{1,4,5}:{(209,1),(210,1),(258,1),(311,1)}
       238:{2,3,4}:{(211,1),(214,1),(261,1),(266,1),(296,1),(298,1)}
       239:{1,4}:{(211,1),(212,1)}
       240:{1,2,5}:{(212,1),(213,1),(262,1),(263,1)}
       241:{1,3,5}:{(214,1),(215,1),(225,1),(261,1),(263,1)}
       242:{1,2,4,5}:{(215,1),(216,1),(218,1),(226,1),(262,1),(263,1),(264,1),(265,1),(274,1),(298,1),(304,1)}
       243:{1,3,5}:{(216,1),(217,1),(219,1),(265,1)}
       244:{3,5}:{(218,1),(232,1),(266,1)}
       245:{2,4}:{(219,1),(220,1),(265,1),(266,1)}
       246:{1,3,7}:{(221,1),(222,1),(225,1),(267,1)}
       247:{1,2,4,7}:{(222,1),(223,1),(226,1),(229,1),(267,1),(268,1),(269,1),(300,1)}
       248:{1,3,5,7}:{(223,1),(224,1),(227,1),(230,1),(268,1),(269,1),(270,1)}
       249:{1,4,6,7}:{(224,1),(228,1),(231,1),(269,1),(270,1),(302,1)}
       250:{2,6}:{(225,1),(263,1),(267,1)}
       251:{1,3,6}:{(226,1),(232,1),(264,1),(268,1),(272,1)}
       252:{1,4,6}:{(227,1),(233,1),(265,1),(269,1),(274,1)}
       253:{1,5}:{(228,1),(234,1)}
       254:{3,7}:{(229,1),(232,1)}
       255:{2,4,7}:{(230,1),(233,1),(235,1),(269,1),(275,1)}
       256:{2,5,7}:{(231,1),(234,1),(236,1),(270,1),(277,1)}
       257:{3,4,6}:{(232,1),(233,1),(266,1),(275,1),(278,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(237,1),(274,1),(278,1),(304,1)}
       259:{1,4,5,7}:{(235,1),(236,1),(237,1),(276,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(236,1),(277,1),(279,1),(305,1)}
       261:{1,3,4}:{(238,1),(239,1),(241,1),(280,1),(281,1),(306,1),(307,1)}
       262:{1,2,4}:{(239,1),(240,1),(280,1),(281,1)}
       263:{2,5}:{(241,1),(250,1),(280,1)}
       264:{1,3,5}:{(242,1),(244,1),(251,1),(281,1),(283,1),(284,1)}
       265:{1,4}:{(243,1),(245,1)}
       266:{3,4}:{(244,1),(245,1)}
       267:{2,7}:{(246,1),(250,1)}
       268:{1,3,7}:{(247,1),(251,1),(254,1),(286,1)}
       269:{1,4,7}:{(248,1),(252,1),(255,1)}
       270:{1,5,7}:{(249,1),(253,1),(256,1),(289,1)}
       271:{1,2,6}:{(250,1),(282,1),(285,1),(290,1)}
       272:{2,3,6}:{(250,1),(251,1),(283,1),(286,1),(290,1),(291,1)}
       273:{1,3,4,6}:{(251,1),(252,1),(257,1),(284,1),(287,1),(291,1),(292,1),(310,1)}
       274:{1,4,5}:{(252,1),(253,1),(258,1),(292,1)}
       275:{3,4,7}:{(254,1),(255,1),(257,1),(293,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(259,1),(288,1),(293,1),(294,1),(309,1)}
       277:{2,5,6}:{(256,1),(260,1),(289,1),(294,1)}
       278:{3,5}:{(257,1),(258,1)}
       279:{1,4,6}:{(259,1),(260,1),(294,1),(314,1)}
       280:{2,4}:{(261,1),(263,1),(296,1)}
       281:{1,3}:{(262,1),(296,1)}
       282:{1,2,5}:{(263,1),(271,1),(295,1),(297,1)}
       283:{2,3,5}:{(263,1),(264,1),(272,1),(296,1),(297,1),(298,1),(304,1)}
       284:{1,3,4}:{(264,1),(265,1),(266,1),(298,1)}
       285:{1,2,7}:{(267,1),(271,1),(299,1)}
       286:{2,3,7}:{(267,1),(268,1),(272,1),(299,1),(300,1)}
       287:{1,3,4,7}:{(268,1),(269,1),(273,1),(275,1),(300,1),(301,1)}
       288:{1,4,5,7}:{(269,1),(270,1),(274,1),(276,1),(301,1),(302,1)}
       289:{1,5,6}:{(270,1),(277,1),(302,1)}
       290:{1,3,6}:{(271,1),(272,1),(297,1),(299,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(298,1),(300,1),(303,1),(304,1),(313,1)}
       292:{1,3,5}:{(273,1),(274,1),(278,1),(304,1)}
       293:{3,5,7}:{(275,1),(276,1),(278,1),(305,1)}
       294:{2,4,6}:{(276,1),(277,1),(279,1),(302,1),(305,1),(313,1)}
       295:{1,2,4}:{(280,1),(282,1),(306,1),(307,1)}
       296:{2,3}:{(280,1),(281,1),(306,1)}
       297:{1,3,5}:{(282,1),(283,1),(290,1),(306,1),(307,1),(311,1)}
       298:{2,4}:{(283,1),(284,1),(307,1)}
       299:{1,3,7}:{(285,1),(286,1),(290,1),(308,1)}
       300:{2,4,7}:{(286,1),(287,1),(291,1),(308,1),(309,1)}
       301:{1,3,5,7}:{(287,1),(288,1),(292,1),(293,1),(309,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(294,1),(310,1)}
       303:{1,4,6}:{(290,1),(291,1),(307,1),(308,1),(311,1),(314,1)}
       304:{2,5}:{(291,1),(292,1),(311,1)}
       305:{3,6}:{(293,1),(294,1)}
       306:{1,3}:{(295,1),(296,1)}
       307:{1,4}:{(297,1),(298,1)}
       308:{1,4,7}:{(299,1),(300,1),(303,1),(312,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       310:{1,3,6}:{(301,1),(302,1),(305,1),(313,1)}
       311:{1,5}:{(303,1),(304,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 811 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(16,1),(40,1),(49,1),(81,1),(82,1),(86,1),(89,1),(93,1),(119,1),(172,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(27,1),(33,1),(56,1),(60,1),(63,1),(72,1),(98,1),(104,1),(109,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(70,1),(102,1),(111,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(112,1),(138,1),(139,1),(140,1),(147,1),(166,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(40,1),(42,1),(93,1),(119,1),(126,1),(132,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(43,1),(92,1),(118,1),(133,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(16,1),(50,1),(86,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(40,1),(80,1)}
         8:{1,3,6,7}:{(3,1),(11,1),(18,1),(53,1),(121,1),(154,1),(172,1)}
         9:{1,2,5,7}:{(3,1),(12,1),(18,1),(19,1),(133,1),(152,1),(159,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(112,1),(115,1),(116,1),(117,1),(147,1),(166,1)}
        11:{2,3,6,7}:{(4,1),(8,1),(21,1),(23,1),(63,1),(74,1),(100,1),(144,1),(147,1)}
        12:{2,5,7}:{(4,1),(5,1),(24,1),(114,1),(137,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(24,1),(27,1),(63,1),(109,1),(113,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(25,1),(27,1),(33,1),(56,1),(71,1),(97,1)}
        15:{2,3,5,6,7}:{(6,1),(26,1),(29,1),(70,1),(106,1),(111,1)}
        16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(60,1),(70,1),(102,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(23,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(24,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(25,1),(33,1),(34,1),(35,1),(69,1),(71,1),(73,1),(110,1),(114,1),(139,1),(162,1),(164,1),(166,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(36,1),(78,1),(95,1),(136,1),(172,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(36,1),(37,1),(133,1),(134,1),(159,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(18,1),(36,1),(39,1),(40,1),(43,1),(159,1),(172,1)}
        24:{2,5,6}:{(12,1),(13,1),(42,1),(132,1)}
        25:{2,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(80,1)}
        26:{1,3,5,6,7}:{(13,1),(15,1),(41,1),(44,1),(84,1),(88,1),(129,1),(133,1)}
        27:{1,4,6}:{(13,1),(14,1),(16,1),(42,1)}
        28:{1,3,4,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(52,1),(77,1),(87,1),(88,1),(92,1),(118,1),(123,1),(127,1),(155,1),(158,1),(170,1),(172,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(44,1),(48,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(45,1),(48,1),(50,1),(80,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(39,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(40,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(42,1),(51,1),(53,1),(91,1),(93,1),(132,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(43,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(172,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(23,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(24,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(25,1),(56,1),(57,1),(58,1),(69,1),(97,1),(99,1),(110,1),(116,1),(137,1),(150,1),(164,1),(166,1),(168,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(32,1),(55,1),(59,1),(63,1),(74,1),(100,1),(102,1),(114,1),(137,1),(149,1),(165,1),(167,1)}
        40:{2,4,7}:{(23,1),(33,1),(56,1),(59,1),(60,1)}
        41:{2,5,6,7}:{(24,1),(26,1),(61,1),(111,1),(147,1)}
        42:{2,4,6}:{(24,1),(25,1),(27,1),(63,1)}
        43:{3,5,7}:{(25,1),(60,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(29,1),(61,1),(65,1)}
        45:{1,4,5,6}:{(27,1),(30,1),(62,1),(65,1),(67,1),(71,1),(97,1),(113,1),(148,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(31,1),(63,1),(67,1),(68,1),(107,1),(109,1),(148,1),(167,1)}
        47:{2,4,5,7}:{(28,1),(64,1),(68,1),(69,1),(73,1),(99,1),(110,1),(111,1),(114,1),(137,1),(141,1),(145,1),(164,1),(166,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(65,1),(70,1),(111,1),(166,1)}
        49:{3,4,6,7}:{(29,1),(31,1),(70,1)}
        50:{3,5,6}:{(30,1),(31,1),(70,1),(102,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(59,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(60,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(63,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(110,1),(114,1),(144,1),(165,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(39,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(40,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(42,1),(76,1),(78,1),(91,1),(119,1),(132,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(43,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(172,1)}
        59:{2,4,6}:{(39,1),(40,1),(51,1),(76,1),(80,1),(81,1),(171,1)}
        60:{3,4,7}:{(40,1),(43,1),(81,1),(172,1)}
        61:{2,4,6,7}:{(41,1),(42,1),(44,1),(83,1),(84,1)}
        62:{2,4,5,6}:{(42,1),(45,1),(80,1),(83,1),(85,1),(90,1),(130,1)}
        63:{3,6}:{(42,1),(43,1)}
        64:{2,3,5,7}:{(43,1),(47,1),(82,1),(86,1),(87,1),(124,1),(170,1),(172,1)}
        65:{1,4,5,7}:{(44,1),(45,1),(48,1),(83,1),(88,1),(133,1),(158,1)}
        66:{1,3,4,6,7}:{(44,1),(46,1),(49,1),(84,1),(88,1),(89,1),(127,1),(129,1),(158,1),(172,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(50,1),(85,1),(88,1),(90,1),(92,1),(118,1)}
        68:{2,4,6}:{(46,1),(47,1),(86,1),(90,1),(91,1),(132,1)}
        69:{1,4,5,7}:{(47,1),(87,1),(91,1),(94,1),(120,1),(133,1),(134,1),(152,1),(155,1),(158,1)}
        70:{3,5,7}:{(48,1),(49,1),(50,1),(172,1)}
        71:{1,4,5}:{(51,1),(80,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(81,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(171,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(132,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(59,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(60,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(63,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(110,1),(137,1),(144,1),(165,1)}
        80:{2,4,5}:{(59,1),(71,1),(97,1),(102,1),(114,1),(137,1)}
        81:{3,4,6}:{(59,1),(60,1),(63,1),(102,1),(167,1),(174,1)}
        82:{2,3,4,7}:{(60,1),(64,1),(73,1),(99,1),(103,1),(104,1),(144,1),(145,1),(174,1)}
        83:{2,4,5,7}:{(61,1),(62,1),(65,1),(105,1),(111,1),(145,1)}
        84:{3,6,7}:{(61,1),(63,1),(105,1)}
        85:{3,5,6}:{(62,1),(63,1),(102,1),(105,1),(107,1)}
        86:{2,3,6}:{(63,1),(64,1),(68,1),(109,1),(167,1)}
        87:{1,3,5,7}:{(64,1),(69,1),(104,1),(109,1),(110,1),(142,1)}
        88:{1,3,5,7}:{(65,1),(66,1),(67,1),(70,1),(105,1),(111,1)}
        89:{2,4,6,7}:{(66,1),(68,1),(106,1),(111,1),(112,1),(145,1),(147,1),(166,1)}
        90:{2,5,6}:{(67,1),(68,1),(111,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(68,1),(69,1),(109,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(102,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(110,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(80,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(81,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(171,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(132,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5}:{(80,1),(81,1)}
       103:{2,3,4,6}:{(81,1),(82,1),(86,1),(93,1),(119,1),(124,1),(125,1),(130,1),(157,1),(171,1)}
       104:{1,3,4,7}:{(82,1),(87,1),(94,1),(120,1),(125,1),(126,1),(136,1),(154,1),(158,1),(172,1)}
       105:{3,5,7}:{(83,1),(84,1),(85,1),(127,1)}
       106:{2,3,6,7}:{(84,1),(86,1),(89,1),(128,1),(129,1),(172,1)}
       107:{3,4,6}:{(85,1),(123,1),(127,1),(130,1)}
       108:{2,3,5,6}:{(85,1),(86,1),(90,1),(124,1),(128,1),(130,1),(131,1)}
       109:{1,3,6}:{(86,1),(87,1),(91,1),(132,1)}
       110:{2,5,7}:{(87,1),(126,1),(132,1),(156,1)}
       111:{2,5,7}:{(88,1),(89,1),(90,1),(133,1)}
       112:{1,4,6,7}:{(89,1),(91,1),(129,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(133,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(126,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(132,1)}
       118:{1,3,5}:{(97,1),(98,1),(102,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(110,1),(139,1),(140,1),(162,1)}
       123:{3,4,5}:{(102,1),(107,1),(141,1),(174,1)}
       124:{2,3,5}:{(102,1),(103,1),(114,1),(137,1),(141,1),(142,1)}
       125:{1,3,4,6}:{(103,1),(104,1),(109,1),(115,1),(138,1),(142,1),(143,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       126:{2,4,7}:{(104,1),(110,1),(143,1),(144,1)}
       127:{3,4,7}:{(105,1),(107,1),(145,1)}
       128:{2,3,5,7}:{(105,1),(106,1),(108,1),(111,1),(145,1),(146,1)}
       129:{1,3,6,7}:{(106,1),(109,1),(112,1),(146,1),(147,1)}
       130:{2,4,6}:{(107,1),(108,1),(141,1),(145,1),(148,1)}
       131:{1,3,5,6}:{(108,1),(109,1),(113,1),(142,1),(146,1),(148,1),(149,1),(167,1)}
       132:{2,6}:{(109,1),(110,1)}
       133:{1,5,7}:{(111,1),(112,1),(113,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(143,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(144,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(126,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(132,1)}
       141:{2,4,5}:{(123,1),(124,1),(130,1),(155,1),(171,1)}
       142:{1,3,5}:{(124,1),(125,1),(134,1),(152,1),(155,1),(156,1),(170,1)}
       143:{2,4,6}:{(125,1),(126,1),(132,1),(156,1),(157,1),(171,1)}
       144:{2,3,7}:{(126,1),(136,1),(154,1),(157,1),(172,1)}
       145:{2,4,7}:{(127,1),(128,1),(130,1),(158,1)}
       146:{1,3,5,7}:{(128,1),(129,1),(131,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,6,7}:{(129,1),(132,1),(159,1)}
       148:{1,4,6}:{(130,1),(131,1),(155,1),(158,1),(160,1)}
       149:{2,5,6}:{(131,1),(132,1),(156,1),(159,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(156,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(157,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(143,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(144,1),(163,1)}
       155:{1,4,5}:{(141,1),(142,1),(148,1),(164,1),(168,1),(173,1)}
       156:{2,5}:{(142,1),(143,1)}
       157:{2,3,6}:{(143,1),(144,1),(151,1),(163,1),(165,1),(167,1)}
       158:{1,4,7}:{(145,1),(146,1),(148,1),(166,1)}
       159:{2,5,7}:{(146,1),(147,1),(149,1),(166,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(165,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(156,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(157,1),(169,1)}
       164:{2,4,5}:{(155,1),(156,1),(160,1),(170,1),(171,1)}
       165:{2,3,5}:{(156,1),(157,1),(161,1),(169,1),(170,1),(171,1)}
       166:{2,4,7}:{(158,1),(159,1),(160,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(172,1)}
       168:{1,4}:{(161,1),(171,1)}
       169:{1,3,5}:{(162,1),(163,1),(165,1),(173,1)}
       170:{3,5}:{(164,1),(167,1),(174,1)}
       171:{2,4}:{(165,1),(168,1),(173,1),(174,1)}
       172:{3,7}:{(166,1),(167,1)}
       173:{1,4}:{(169,1),(171,1)}
       174:{3,4}:{(170,1),(171,1)}

 812 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(72,1),(73,1),(218,1),(219,1),(228,1),(271,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(37,1),(51,1),(99,1),(107,1),(174,1),(247,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(53,1),(89,1),(99,1),(106,1),(180,1),(257,1),(264,1),(302,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(108,1),(112,1),(183,1),(184,1),(186,1),(193,1),(239,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(53,1),(302,1),(303,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(28,1),(64,1),(72,1),(73,1),(144,1)}
         7:{3,4,6}:{(1,1),(19,1),(20,1),(281,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(27,1),(66,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(22,1),(25,1),(26,1),(291,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(31,1),(60,1),(76,1),(83,1),(86,1),(125,1),(128,1),(136,1),(146,1),(148,1),(223,1),(224,1),(231,1),(274,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(144,1),(221,1),(230,1),(273,1)}
        13:{1,2,5,7}:{(5,1),(22,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(83,1),(86,1),(274,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(89,1),(264,1),(265,1)}
        17:{3,4,6,7}:{(7,1),(36,1),(37,1),(95,1),(107,1),(169,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(38,1),(39,1),(50,1),(53,1),(89,1),(97,1),(106,1),(118,1),(162,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(39,1),(40,1)}
        20:{3,5,6}:{(7,1),(37,1),(40,1),(41,1),(174,1)}
        21:{2,3,6,7}:{(9,1),(36,1),(42,1),(43,1),(169,1),(245,1)}
        22:{2,5,7}:{(8,1),(10,1),(45,1),(49,1)}
        23:{1,3,6}:{(8,1),(9,1),(39,1),(45,1),(100,1),(322,1),(347,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(40,1),(43,1),(46,1),(47,1),(103,1),(177,1),(184,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(180,1)}
        26:{2,4,6}:{(10,1),(11,1),(45,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(118,1),(162,1),(174,1),(266,1),(304,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(44,1),(53,1),(54,1),(56,1),(118,1)}
        30:{1,2,6}:{(13,1),(45,1),(54,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(118,1),(304,1)}
        33:{1,2,5,7}:{(16,1),(22,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(125,1),(128,1),(231,1),(232,1),(233,1)}
        36:{2,4,6,7}:{(17,1),(19,1),(21,1),(63,1),(64,1),(72,1)}
        37:{3,5,7}:{(17,1),(20,1),(64,1),(65,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(66,1),(67,1),(73,1),(79,1),(133,1),(142,1),(144,1),(209,1),(212,1)}
        39:{1,4,6}:{(18,1),(19,1),(23,1),(67,1),(68,1)}
        40:{2,5,6}:{(19,1),(20,1),(64,1),(68,1),(144,1)}
        41:{4,5,6}:{(20,1),(65,1),(212,1),(281,1)}
        42:{1,3,6,7}:{(21,1),(23,1),(63,1),(70,1),(71,1),(132,1),(280,1)}
        43:{2,3,5,7}:{(21,1),(24,1),(64,1),(71,1),(72,1),(135,1),(211,1),(219,1)}
        44:{2,3,5,7}:{(22,1),(25,1),(29,1),(58,1),(66,1),(73,1),(74,1),(78,1),(144,1)}
        45:{2,6}:{(22,1),(23,1)}
        46:{1,3,5,6}:{(23,1),(24,1),(27,1),(68,1),(71,1),(75,1),(76,1),(137,1),(146,1),(215,1),(223,1)}
        47:{2,4,6}:{(24,1),(28,1),(72,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(146,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(76,1),(79,1),(86,1),(128,1),(212,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(221,1),(391,1)}
        52:{1,2,6,7}:{(30,1),(70,1),(81,1),(82,1),(280,1),(295,1),(334,1),(363,1)}
        53:{1,4,7}:{(29,1),(73,1),(83,1),(86,1)}
        54:{1,3,6}:{(29,1),(30,1),(74,1),(83,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(75,1),(82,1),(84,1),(85,1),(215,1),(230,1),(275,1),(287,1),(295,1),(329,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(154,1),(157,1),(225,1),(230,1),(276,1),(329,1),(338,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(44,1),(89,1),(90,1),(92,1),(162,1)}
        59:{1,2,6}:{(33,1),(45,1),(90,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(162,1),(266,1)}
        62:{3,5,6,7}:{(37,1),(94,1),(95,1),(169,1),(246,1),(378,1)}
        63:{1,4,6,7}:{(36,1),(39,1),(42,1),(96,1),(97,1),(106,1)}
        64:{2,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        65:{4,5,7}:{(37,1),(41,1),(95,1)}
        66:{3,5,7}:{(38,1),(99,1),(100,1),(113,1),(174,1),(180,1)}
        67:{2,4,6}:{(38,1),(39,1),(45,1),(100,1),(101,1),(175,1)}
        68:{1,5,6}:{(39,1),(40,1),(97,1),(101,1),(118,1),(162,1)}
        69:{2,4,5,6}:{(40,1),(41,1),(47,1),(98,1),(102,1),(103,1),(177,1),(182,1),(254,1),(316,1),(377,1),(389,1)}
        70:{2,6,7}:{(42,1),(45,1),(105,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(46,1),(97,1),(105,1),(106,1),(171,1),(180,1),(250,1),(257,1)}
        72:{2,4,7}:{(43,1),(47,1),(106,1),(107,1)}
        73:{2,4,7}:{(44,1),(53,1),(89,1),(99,1),(108,1),(112,1)}
        74:{2,3,6}:{(44,1),(45,1),(54,1),(90,1),(100,1),(108,1)}
        75:{2,5,6}:{(45,1),(46,1),(49,1),(105,1),(110,1),(260,1)}
        76:{1,4,6}:{(46,1),(47,1),(50,1),(106,1),(110,1),(175,1)}
        77:{3,4,6}:{(47,1),(51,1),(103,1),(107,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(110,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(111,1),(113,1),(114,1),(121,1),(165,1),(187,1),(192,1),(238,1),(251,1),(315,1),(357,1)}
        81:{1,3,6,7}:{(52,1),(54,1),(104,1),(115,1),(116,1),(262,1),(347,1),(375,1)}
        82:{1,2,5,7}:{(52,1),(55,1),(105,1),(116,1),(117,1),(250,1),(263,1),(303,1),(314,1)}
        83:{1,4,6}:{(53,1),(54,1),(108,1),(118,1)}
        84:{1,3,5,6}:{(54,1),(55,1),(56,1),(109,1),(116,1),(118,1),(119,1),(120,1),(188,1),(192,1),(240,1),(262,1),(304,1),(347,1),(350,1),(375,1),(388,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(110,1),(117,1),(119,1),(120,1),(185,1),(193,1),(260,1),(316,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(357,1)}
        88:{1,2,6,7}:{(59,1),(70,1),(123,1),(124,1),(280,1),(326,1),(334,1),(344,1)}
        89:{1,4,7}:{(58,1),(73,1),(125,1),(128,1)}
        90:{1,3,6}:{(58,1),(59,1),(74,1),(125,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(75,1),(124,1),(126,1),(127,1),(215,1),(232,1),(273,1),(287,1),(298,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(200,1),(203,1),(225,1),(233,1),(273,1),(298,1),(338,1),(346,1)}
        94:{2,5,6,7}:{(62,1),(64,1),(130,1),(131,1),(216,1),(367,1)}
        95:{4,6,7}:{(62,1),(65,1),(281,1),(385,1)}
        96:{2,4,6,7}:{(63,1),(67,1),(70,1),(132,1),(133,1),(142,1),(209,1)}
        97:{1,5,7}:{(63,1),(64,1),(68,1),(133,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(131,1),(134,1),(135,1),(211,1),(337,1),(367,1),(385,1)}
        99:{3,4,7}:{(66,1),(73,1),(136,1),(148,1),(209,1)}
       100:{3,6}:{(66,1),(67,1)}
       101:{2,5,6}:{(67,1),(68,1),(133,1),(137,1),(144,1)}
       102:{1,4,5,6}:{(68,1),(69,1),(76,1),(134,1),(138,1),(139,1),(154,1),(200,1),(215,1),(226,1),(269,1),(286,1),(366,1)}
       103:{3,5,6}:{(69,1),(77,1),(135,1),(221,1),(288,1),(339,1)}
       104:{2,3,6,7}:{(70,1),(74,1),(81,1),(123,1),(132,1),(140,1),(141,1),(288,1),(295,1),(326,1),(334,1),(368,1),(372,1)}
       105:{2,5,7}:{(70,1),(71,1),(75,1),(142,1),(291,1)}
       106:{1,4,7}:{(71,1),(72,1),(76,1),(142,1),(209,1)}
       107:{3,4,7}:{(72,1),(77,1),(135,1),(385,1)}
       108:{2,4,6}:{(73,1),(74,1),(83,1),(125,1),(136,1),(144,1)}
       109:{2,3,5,6}:{(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(141,1),(144,1),(145,1),(146,1),(156,1),(202,1),(216,1),(221,1),(230,1),(273,1),(287,1),(288,1),(295,1),(326,1),(339,1),(343,1),(372,1),(384,1),(387,1)}
       110:{2,4,6}:{(75,1),(76,1),(79,1),(142,1),(146,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(80,1),(139,1),(143,1),(146,1),(147,1),(213,1),(223,1),(286,1),(339,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(146,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(230,1),(273,1)}
       115:{1,4,6,7}:{(81,1),(83,1),(140,1),(151,1),(152,1),(226,1),(383,1)}
       116:{1,3,5,7}:{(81,1),(82,1),(84,1),(141,1),(151,1),(152,1),(153,1),(272,1),(327,1)}
       117:{1,2,4,7}:{(82,1),(85,1),(142,1),(152,1),(153,1),(220,1),(228,1),(291,1),(337,1)}
       118:{1,5}:{(83,1),(144,1)}
       119:{1,4,6}:{(84,1),(86,1),(145,1),(152,1),(154,1),(365,1)}
       120:{1,3,6}:{(85,1),(87,1),(146,1),(153,1),(156,1),(339,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(371,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(230,1),(294,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(104,1),(159,1),(160,1),(300,1),(322,1),(361,1)}
       124:{1,2,5,7}:{(88,1),(91,1),(105,1),(160,1),(161,1),(250,1),(265,1),(301,1),(314,1)}
       125:{1,4,6}:{(89,1),(90,1),(108,1),(162,1)}
       126:{1,3,5,6}:{(90,1),(91,1),(92,1),(109,1),(160,1),(162,1),(163,1),(164,1),(194,1),(234,1),(238,1),(266,1),(300,1),(322,1),(325,1),(361,1),(382,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(110,1),(161,1),(163,1),(164,1),(185,1),(239,1),(260,1),(316,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(357,1)}
       130:{1,5,6,7}:{(94,1),(97,1),(167,1),(168,1),(188,1),(234,1),(352,1)}
       131:{2,4,6,7}:{(94,1),(95,1),(98,1),(168,1),(169,1),(245,1),(254,1)}
       132:{3,6,7}:{(96,1),(100,1),(171,1),(180,1)}
       133:{2,5,7}:{(96,1),(97,1),(101,1),(171,1)}
       134:{1,4,5,7}:{(97,1),(98,1),(102,1),(106,1),(168,1),(172,1),(173,1),(250,1),(313,1),(352,1)}
       135:{3,5,7}:{(98,1),(103,1),(107,1),(169,1),(356,1)}
       136:{3,4,6}:{(99,1),(100,1),(108,1),(174,1),(175,1)}
       137:{3,5,6}:{(100,1),(101,1),(171,1),(174,1),(175,1)}
       138:{2,4,5,6}:{(101,1),(102,1),(110,1),(172,1),(175,1),(176,1),(177,1),(182,1),(252,1),(254,1),(307,1),(351,1)}
       139:{1,3,5,6}:{(102,1),(103,1),(111,1),(173,1),(176,1),(177,1),(192,1),(238,1),(262,1),(300,1)}
       140:{2,4,6,7}:{(104,1),(108,1),(115,1),(159,1),(170,1),(178,1),(179,1),(254,1),(381,1)}
       141:{2,3,5,7}:{(104,1),(105,1),(109,1),(116,1),(160,1),(171,1),(178,1),(179,1),(180,1),(191,1),(237,1),(255,1),(263,1),(301,1),(314,1),(356,1),(378,1)}
       142:{2,4,7}:{(105,1),(106,1),(110,1),(180,1)}
       143:{1,3,4,7}:{(106,1),(107,1),(111,1),(173,1),(180,1),(181,1),(248,1),(257,1),(313,1),(356,1)}
       144:{2,5}:{(108,1),(118,1),(162,1),(174,1)}
       145:{2,4,6}:{(109,1),(112,1),(119,1),(163,1),(175,1),(179,1),(182,1),(183,1),(360,1),(389,1)}
       146:{3,6}:{(110,1),(113,1),(180,1)}
       147:{2,4,6}:{(111,1),(114,1),(177,1),(181,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(184,1),(186,1),(187,1),(357,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(266,1),(304,1)}
       151:{1,5,7}:{(115,1),(118,1),(178,1),(188,1),(388,1)}
       152:{1,4,7}:{(116,1),(119,1),(179,1)}
       153:{1,3,7}:{(117,1),(120,1),(180,1),(191,1),(356,1)}
       154:{1,4,5}:{(118,1),(119,1),(182,1),(192,1),(304,1),(388,1)}
       155:{1,3,4,6}:{(119,1),(120,1),(121,1),(183,1),(190,1),(192,1),(193,1),(262,1)}
       156:{2,3,6}:{(120,1),(122,1),(191,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(266,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(125,1),(140,1),(197,1),(198,1),(269,1),(374,1)}
       160:{1,3,5,7}:{(123,1),(124,1),(126,1),(141,1),(197,1),(198,1),(199,1),(229,1),(296,1)}
       161:{1,2,4,7}:{(124,1),(127,1),(142,1),(198,1),(199,1),(220,1),(271,1),(291,1),(337,1)}
       162:{1,5}:{(125,1),(144,1)}
       163:{1,4,6}:{(126,1),(128,1),(145,1),(198,1),(200,1),(346,1)}
       164:{1,3,6}:{(127,1),(129,1),(146,1),(199,1),(202,1),(339,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(371,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(273,1),(294,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(205,1),(206,1),(216,1),(332,1)}
       168:{1,4,6,7}:{(130,1),(131,1),(134,1),(206,1),(207,1),(226,1),(269,1),(280,1)}
       169:{3,6,7}:{(131,1),(135,1),(288,1)}
       170:{3,4,6,7}:{(132,1),(136,1),(140,1),(208,1),(209,1),(218,1),(281,1),(288,1),(368,1),(385,1),(386,1)}
       171:{3,5,7}:{(132,1),(133,1),(137,1),(209,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(138,1),(142,1),(206,1),(209,1),(210,1),(211,1),(277,1),(283,1),(332,1)}
       173:{1,3,5,7}:{(134,1),(135,1),(139,1),(143,1),(207,1),(210,1),(211,1)}
       174:{3,5}:{(136,1),(144,1),(212,1)}
       175:{4,6}:{(137,1),(209,1),(212,1)}
       176:{3,5,6}:{(138,1),(146,1),(210,1),(213,1),(221,1),(288,1)}
       177:{2,5,6}:{(139,1),(147,1),(211,1),(215,1),(230,1),(273,1),(295,1),(326,1)}
       178:{2,5,7}:{(140,1),(144,1),(151,1),(197,1),(208,1),(216,1),(387,1)}
       179:{2,4,7}:{(141,1),(145,1),(152,1),(198,1),(209,1),(218,1),(385,1)}
       180:{3,7}:{(142,1),(146,1)}
       181:{2,4,7}:{(143,1),(147,1),(211,1),(219,1),(220,1),(291,1)}
       182:{2,4,5}:{(144,1),(145,1),(154,1),(200,1),(212,1),(221,1),(230,1),(273,1),(387,1),(391,1)}
       183:{3,4,6}:{(145,1),(146,1),(148,1),(218,1),(221,1),(288,1),(339,1),(371,1)}
       184:{2,3,6}:{(146,1),(147,1),(149,1),(219,1),(223,1),(339,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(220,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(371,1)}
       187:{1,3,5}:{(149,1),(150,1),(223,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,4,7}:{(152,1),(153,1),(155,1),(218,1),(227,1),(228,1)}
       191:{2,3,7}:{(153,1),(156,1),(228,1),(229,1),(291,1)}
       192:{1,3,5}:{(154,1),(155,1),(221,1),(230,1)}
       193:{2,4,6}:{(155,1),(156,1),(157,1),(228,1),(230,1),(231,1),(295,1)}
       194:{1,3,6}:{(156,1),(158,1),(229,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(162,1),(178,1),(234,1),(382,1)}
       198:{1,4,7}:{(160,1),(163,1),(179,1)}
       199:{1,3,7}:{(161,1),(164,1),(180,1),(237,1),(356,1)}
       200:{1,4,5}:{(162,1),(163,1),(182,1),(238,1),(266,1),(382,1)}
       201:{1,3,4,6}:{(163,1),(164,1),(165,1),(183,1),(236,1),(238,1),(239,1),(300,1)}
       202:{2,3,6}:{(164,1),(166,1),(237,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(304,1),(306,1)}
       205:{3,5,6,7}:{(167,1),(171,1),(243,1),(244,1),(246,1),(308,1)}
       206:{2,4,6,7}:{(167,1),(168,1),(172,1),(243,1),(244,1),(245,1),(254,1)}
       207:{1,3,6,7}:{(168,1),(169,1),(173,1),(244,1),(245,1),(262,1),(300,1)}
       208:{3,5,7}:{(170,1),(174,1),(178,1),(246,1),(247,1),(390,1)}
       209:{4,7}:{(171,1),(175,1)}
       210:{3,5,7}:{(172,1),(176,1),(180,1),(244,1),(248,1)}
       211:{2,5,7}:{(173,1),(177,1),(181,1),(245,1),(250,1)}
       212:{4,5}:{(174,1),(175,1)}
       213:{3,4,6}:{(175,1),(176,1),(248,1),(251,1),(252,1)}
       214:{2,3,5,6}:{(176,1),(177,1),(184,1),(249,1),(252,1),(253,1),(258,1),(317,1),(351,1)}
       215:{1,5,6}:{(177,1),(185,1),(250,1),(266,1),(304,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(246,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(182,1),(189,1),(235,1),(247,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,4,7}:{(179,1),(180,1),(183,1),(255,1),(356,1)}
       219:{2,3,7}:{(180,1),(181,1),(184,1),(257,1),(356,1)}
       220:{1,4,7}:{(181,1),(185,1),(250,1),(257,1)}
       221:{3,5}:{(182,1),(183,1)}
       222:{2,3,4,6}:{(183,1),(184,1),(186,1),(193,1),(239,1),(252,1),(256,1),(258,1),(259,1),(317,1),(321,1),(360,1),(381,1)}
       223:{1,3,6}:{(184,1),(185,1),(187,1),(257,1),(260,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(192,1),(255,1),(262,1),(263,1)}
       228:{2,4,7}:{(190,1),(191,1),(193,1),(263,1),(264,1)}
       229:{1,3,7}:{(191,1),(194,1),(264,1),(265,1)}
       230:{2,5}:{(192,1),(193,1),(266,1)}
       231:{1,4,6}:{(193,1),(194,1),(195,1),(264,1),(266,1),(322,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(265,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,4,7}:{(198,1),(199,1),(201,1),(218,1),(270,1),(271,1)}
       237:{2,3,7}:{(199,1),(202,1),(271,1),(272,1),(291,1)}
       238:{1,3,5}:{(200,1),(201,1),(221,1),(273,1)}
       239:{2,4,6}:{(201,1),(202,1),(203,1),(271,1),(273,1),(274,1),(326,1)}
       240:{1,3,6}:{(202,1),(204,1),(272,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{4,6,7}:{(205,1),(209,1),(277,1),(281,1)}
       244:{3,6,7}:{(206,1),(210,1),(288,1)}
       245:{2,6,7}:{(207,1),(211,1),(280,1),(295,1),(326,1)}
       246:{3,5,6}:{(208,1),(216,1),(281,1),(288,1)}
       247:{4,5,7}:{(208,1),(209,1),(212,1),(281,1),(385,1),(391,1)}
       248:{3,4,7}:{(209,1),(210,1),(213,1),(283,1)}
       249:{2,3,5,7}:{(210,1),(211,1),(214,1),(219,1),(279,1),(283,1),(284,1),(332,1)}
       250:{1,5,7}:{(211,1),(215,1),(220,1),(280,1)}
       251:{3,4,5}:{(212,1),(213,1),(221,1),(285,1),(371,1)}
       252:{2,4,6}:{(213,1),(214,1),(283,1),(285,1),(286,1)}
       253:{1,3,5,6}:{(214,1),(215,1),(223,1),(284,1),(286,1),(287,1),(292,1),(339,1),(340,1),(366,1),(384,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(281,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(221,1),(288,1)}
       256:{2,3,4,7}:{(218,1),(219,1),(222,1),(228,1),(271,1),(283,1),(289,1),(290,1),(342,1),(373,1)}
       257:{1,3,7}:{(219,1),(220,1),(223,1),(291,1)}
       258:{2,3,5}:{(221,1),(222,1),(230,1),(273,1),(285,1),(292,1),(387,1)}
       259:{1,3,4,6}:{(222,1),(223,1),(224,1),(231,1),(274,1),(286,1),(290,1),(292,1),(293,1),(299,1),(330,1),(339,1),(340,1),(346,1),(365,1),(371,1),(374,1),(383,1),(386,1)}
       260:{2,6}:{(223,1),(225,1),(291,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(230,1),(295,1),(296,1)}
       264:{1,4,7}:{(228,1),(229,1),(231,1),(296,1)}
       265:{1,2,7}:{(229,1),(232,1),(291,1)}
       266:{1,5}:{(230,1),(231,1)}
       267:{1,2,4,6}:{(231,1),(232,1),(233,1),(293,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(238,1),(255,1),(300,1),(301,1)}
       271:{2,4,7}:{(236,1),(237,1),(239,1),(301,1),(302,1)}
       272:{1,3,7}:{(237,1),(240,1),(302,1),(303,1)}
       273:{2,5}:{(238,1),(239,1),(304,1)}
       274:{1,4,6}:{(239,1),(240,1),(241,1),(302,1),(304,1),(347,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(303,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,5,7}:{(243,1),(307,1),(308,1)}
       278:{3,4,6,7}:{(243,1),(244,1),(248,1),(308,1),(309,1),(311,1)}
       279:{2,3,6,7}:{(244,1),(245,1),(249,1),(309,1),(310,1),(317,1)}
       280:{1,6,7}:{(245,1),(250,1),(322,1),(347,1)}
       281:{4,6}:{(246,1),(247,1)}
       282:{3,4,5,7}:{(247,1),(248,1),(251,1),(255,1),(308,1),(311,1),(312,1),(380,1),(390,1)}
       283:{2,4,7}:{(248,1),(249,1),(252,1),(313,1)}
       284:{1,3,5,7}:{(249,1),(250,1),(253,1),(257,1),(310,1),(313,1),(314,1),(352,1),(356,1),(378,1)}
       285:{2,4,5}:{(251,1),(252,1),(258,1),(315,1),(360,1)}
       286:{1,4,6}:{(252,1),(253,1),(313,1),(315,1),(316,1),(389,1)}
       287:{2,5,6}:{(253,1),(260,1),(314,1),(316,1),(320,1),(358,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(258,1),(263,1),(301,1),(312,1),(317,1),(318,1)}
       290:{1,3,4,7}:{(256,1),(257,1),(259,1),(264,1),(302,1),(313,1),(318,1),(319,1),(324,1),(349,1),(356,1),(362,1),(376,1),(380,1)}
       291:{2,7}:{(257,1),(260,1)}
       292:{1,3,5}:{(258,1),(259,1),(266,1),(304,1),(315,1),(320,1),(357,1),(382,1),(388,1),(390,1)}
       293:{2,4,6}:{(259,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(266,1),(322,1)}
       297:{1,2,4,7}:{(264,1),(265,1),(267,1),(319,1),(323,1),(324,1),(362,1)}
       298:{1,2,5}:{(266,1),(267,1),(320,1),(325,1),(382,1)}
       299:{1,3,6}:{(267,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(273,1),(326,1),(327,1)}
       302:{1,4,7}:{(271,1),(272,1),(274,1),(327,1)}
       303:{1,2,7}:{(272,1),(275,1),(291,1)}
       304:{1,5}:{(273,1),(274,1)}
       305:{1,2,4,6}:{(274,1),(275,1),(276,1),(293,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(281,1),(331,1),(391,1)}
       308:{3,5,7}:{(277,1),(278,1),(331,1),(332,1)}
       309:{2,4,6,7}:{(278,1),(279,1),(283,1),(332,1),(333,1),(335,1)}
       310:{1,3,6,7}:{(279,1),(280,1),(284,1),(333,1),(334,1),(340,1),(368,1)}
       311:{3,4,6}:{(281,1),(282,1),(288,1),(331,1),(335,1)}
       312:{2,4,5,7}:{(282,1),(283,1),(285,1),(289,1),(332,1),(335,1),(336,1),(373,1),(387,1)}
       313:{1,4,7}:{(283,1),(284,1),(286,1),(337,1),(385,1)}
       314:{2,5,7}:{(284,1),(287,1),(291,1),(334,1),(337,1)}
       315:{1,4,5}:{(285,1),(286,1),(292,1),(338,1),(346,1),(365,1),(391,1)}
       316:{2,4,6}:{(286,1),(287,1),(337,1),(338,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(335,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(292,1),(296,1),(327,1),(336,1),(340,1),(341,1),(370,1)}
       319:{2,4,7}:{(290,1),(291,1),(293,1),(341,1),(342,1)}
       320:{2,5}:{(292,1),(293,1)}
       321:{2,3,6}:{(293,1),(294,1),(299,1),(330,1),(339,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,7}:{(297,1),(299,1),(342,1)}
       325:{1,3,5}:{(298,1),(299,1),(343,1),(346,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(304,1),(347,1)}
       328:{1,2,4,7}:{(302,1),(303,1),(305,1),(319,1),(348,1),(349,1),(376,1)}
       329:{1,2,5}:{(304,1),(305,1),(320,1),(350,1),(388,1)}
       330:{1,3,6}:{(305,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,5,7}:{(308,1),(309,1),(351,1),(352,1)}
       333:{1,4,6,7}:{(309,1),(310,1),(313,1),(352,1),(353,1),(354,1)}
       334:{2,6,7}:{(310,1),(314,1),(358,1)}
       335:{2,4,6}:{(311,1),(312,1),(317,1),(351,1),(354,1)}
       336:{1,4,5,7}:{(312,1),(313,1),(315,1),(318,1),(352,1),(354,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(356,1)}
       338:{2,4,5}:{(315,1),(316,1),(320,1),(357,1),(360,1)}
       339:{3,6}:{(316,1),(356,1),(357,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(354,1),(358,1),(379,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,7}:{(319,1),(321,1),(324,1),(349,1),(356,1)}
       343:{2,3,5}:{(320,1),(321,1),(325,1),(350,1),(357,1),(360,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(325,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,7}:{(328,1),(330,1),(342,1)}
       350:{1,3,5}:{(329,1),(330,1),(343,1),(365,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,5,7}:{(332,1),(333,1),(366,1),(367,1)}
       353:{2,4,6,7}:{(333,1),(334,1),(337,1),(367,1),(368,1),(369,1),(385,1)}
       354:{1,4,6}:{(335,1),(336,1),(340,1),(366,1),(369,1)}
       355:{2,4,5,7}:{(336,1),(337,1),(338,1),(341,1),(367,1),(369,1),(370,1),(373,1),(385,1),(387,1),(391,1)}
       356:{3,7}:{(337,1),(339,1)}
       357:{3,5}:{(338,1),(339,1),(371,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(370,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(343,1),(346,1),(365,1),(371,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(350,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(354,1),(377,1),(382,1),(388,1)}
       367:{2,5,7}:{(352,1),(353,1),(377,1),(378,1)}
       368:{3,6,7}:{(353,1),(356,1),(378,1),(379,1)}
       369:{2,4,6}:{(354,1),(355,1),(358,1),(377,1),(379,1),(389,1)}
       370:{3,5,7}:{(355,1),(356,1),(357,1),(379,1),(380,1),(390,1)}
       371:{3,4}:{(357,1),(360,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(379,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(380,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(369,1),(384,1),(387,1)}
       378:{3,5,7}:{(367,1),(368,1),(384,1),(385,1)}
       379:{3,6}:{(369,1),(370,1)}
       380:{3,4,7}:{(370,1),(371,1),(373,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(386,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(379,1),(389,1),(390,1)}
       385:{4,7}:{(378,1),(389,1)}
       386:{3,4,6}:{(379,1),(380,1),(381,1),(389,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(385,1),(391,1)}
       390:{3,5}:{(386,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 813 :  0:{2,3,4}:{(2,1),(3,1),(23,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(82,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(27,1),(39,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(39,1)}
        5:{4,5,6}:{(15,1),(16,1),(88,1),(96,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1),(19,1),(50,1),(74,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1)}
        9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,4}:{(3,1),(22,1),(23,1)}
       11:{1,2,5}:{(4,1),(22,1),(24,1),(25,1)}
       12:{1,3}:{(4,1),(23,1)}
       13:{1,2,4}:{(10,1),(26,1),(27,1),(55,1)}
       14:{5,6,7}:{(28,1),(97,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{3,5,6}:{(5,1),(6,1),(29,1),(30,1),(82,1),(94,1)}
       17:{3,4,7}:{(6,1),(29,1),(31,1)}
       18:{2,4,6}:{(6,1),(7,1),(8,1),(30,1),(31,1),(32,1)}
       19:{1,4,5}:{(7,1),(9,1),(32,1),(33,1),(39,1),(55,1),(65,1),(77,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{1,3,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,5}:{(9,1),(10,1),(35,1)}
       23:{2,3}:{(10,1),(12,1),(27,1)}
       24:{1,2,6}:{(11,1),(35,1),(37,1),(38,1)}
       25:{1,3,5}:{(11,1),(12,1),(36,1),(38,1),(39,1),(65,1)}
       26:{1,2,5}:{(13,1),(22,1),(40,1),(41,1)}
       27:{1,3}:{(13,1),(23,1)}
       28:{4,6,7}:{(14,1),(15,1),(42,1),(96,1)}
       29:{3,5,7}:{(15,1),(16,1),(17,1),(42,1),(43,1)}
       30:{2,5,6}:{(16,1),(18,1),(43,1),(44,1),(74,1),(90,1)}
       31:{2,4,7}:{(17,1),(18,1),(20,1),(43,1),(45,1)}
       32:{1,4,6}:{(18,1),(19,1),(21,1),(44,1),(45,1),(46,1)}
       33:{2,4,5}:{(19,1),(22,1),(46,1),(47,1),(50,1),(74,1),(88,1)}
       34:{1,3,7}:{(20,1),(21,1),(45,1),(48,1),(71,1)}
       35:{2,6}:{(21,1),(22,1),(48,1)}
       36:{2,3,5}:{(22,1),(23,1),(25,1),(41,1),(47,1),(49,1),(50,1),(74,1)}
       37:{1,2,7}:{(24,1),(48,1),(51,1)}
       38:{1,3,6}:{(24,1),(25,1),(49,1),(51,1),(52,1)}
       39:{1,4}:{(25,1),(50,1)}
       40:{1,2,6}:{(26,1),(35,1),(53,1),(54,1)}
       41:{1,3,5}:{(26,1),(27,1),(36,1),(54,1),(55,1),(77,1)}
       42:{3,6,7}:{(28,1),(29,1),(56,1),(94,1)}
       43:{2,5,7}:{(29,1),(30,1),(31,1),(56,1),(57,1)}
       44:{1,5,6}:{(30,1),(32,1),(57,1),(58,1),(65,1),(77,1),(84,1),(91,1)}
       45:{1,4,7}:{(31,1),(32,1),(34,1),(57,1),(59,1)}
       46:{2,4,6}:{(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(80,1)}
       47:{3,5}:{(33,1),(60,1),(61,1)}
       48:{2,7}:{(34,1),(35,1)}
       49:{2,3,6}:{(35,1),(36,1),(38,1),(54,1),(60,1),(62,1),(63,1)}
       50:{2,4}:{(36,1),(39,1),(55,1),(61,1)}
       51:{1,3,7}:{(37,1),(38,1),(62,1),(64,1)}
       52:{1,4,6}:{(38,1),(39,1),(63,1),(64,1),(65,1),(84,1)}
       53:{1,2,7}:{(40,1),(48,1),(66,1)}
       54:{1,3,6}:{(40,1),(41,1),(49,1),(66,1),(67,1)}
       55:{1,4}:{(41,1),(50,1)}
       56:{2,6,7}:{(42,1),(43,1),(68,1),(90,1)}
       57:{1,5,7}:{(43,1),(44,1),(45,1),(68,1),(69,1)}
       58:{2,5,6}:{(44,1),(46,1),(69,1),(70,1),(74,1),(90,1)}
       59:{2,4,7}:{(45,1),(46,1),(48,1),(69,1),(71,1),(87,1)}
       60:{3,6}:{(46,1),(47,1),(71,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,3,7}:{(48,1),(49,1),(51,1),(66,1),(71,1),(73,1)}
       63:{2,4,6}:{(49,1),(50,1),(52,1),(67,1),(72,1),(73,1),(74,1),(90,1)}
       64:{1,4,7}:{(51,1),(52,1),(73,1),(75,1)}
       65:{1,5}:{(52,1),(74,1)}
       66:{1,3,7}:{(53,1),(54,1),(62,1),(76,1)}
       67:{1,4,6}:{(54,1),(55,1),(63,1),(76,1),(77,1),(91,1)}
       68:{1,6,7}:{(56,1),(57,1),(78,1),(84,1),(91,1)}
       69:{2,5,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       70:{3,5,6}:{(58,1),(60,1),(79,1),(80,1),(82,1),(94,1),(97,1)}
       71:{3,7}:{(59,1),(60,1)}
       72:{3,4,6}:{(60,1),(61,1),(63,1),(80,1),(81,1),(82,1),(94,1)}
       73:{2,4,7}:{(62,1),(63,1),(64,1),(76,1),(81,1),(83,1)}
       74:{2,5}:{(63,1),(65,1),(77,1),(82,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,4,7}:{(66,1),(67,1),(73,1),(85,1)}
       77:{1,5}:{(67,1),(74,1)}
       78:{2,6,7}:{(68,1),(69,1),(86,1),(90,1)}
       79:{3,5,7}:{(69,1),(70,1),(71,1),(86,1),(87,1),(95,1)}
       80:{4,6}:{(70,1),(87,1),(88,1)}
       81:{3,4,7}:{(71,1),(72,1),(73,1),(87,1),(89,1)}
       82:{3,5}:{(72,1),(74,1),(88,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{3,6,7}:{(78,1),(79,1),(92,1),(94,1)}
       87:{4,7}:{(79,1),(80,1)}
       88:{4,5}:{(80,1),(82,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,6,7}:{(86,1),(87,1),(95,1),(96,1)}
       93:{4,5,7}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(96,1)}
       95:{5,7}:{(92,1),(97,1)}
       96:{4,6}:{(93,1),(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 814 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(19,1),(59,1),(71,1),(73,1),(124,1),(228,1),(246,1),(331,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(7,1),(26,1),(32,1),(41,1),(84,1),(192,1),(194,1),(301,1)}
         2:{1,3,5}:{(0,1),(7,1),(8,1),(9,1),(173,1),(301,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(34,1),(40,1),(47,1),(97,1),(197,1)}
         4:{1,2,4,5}:{(12,1),(13,1),(15,1),(50,1),(59,1),(69,1),(126,1),(128,1),(157,1),(246,1),(266,1)}
         5:{2,4,5}:{(1,1),(14,1),(15,1),(16,1),(19,1),(50,1),(59,1),(71,1),(126,1)}
         6:{1,3,4,6}:{(1,1),(16,1),(17,1),(18,1),(60,1),(145,1),(147,1),(253,1)}
         7:{1,3,4}:{(2,1),(19,1),(331,1),(346,1)}
         8:{2,3,5}:{(2,1),(19,1),(21,1),(22,1),(59,1),(71,1),(137,1)}
         9:{1,3,6}:{(2,1),(3,1),(22,1),(24,1),(253,1)}
        10:{1,2,5,6}:{(3,1),(23,1),(25,1),(63,1),(71,1),(143,1),(163,1),(228,1),(334,1),(368,1)}
        11:{1,2,4,7}:{(3,1),(24,1),(25,1),(64,1),(72,1),(80,1),(144,1),(254,1)}
        12:{1,3,5}:{(4,1),(26,1),(27,1),(28,1),(108,1),(301,1)}
        13:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(34,1),(83,1),(90,1),(97,1),(197,1)}
        14:{2,3,5}:{(5,1),(31,1),(32,1),(33,1),(301,1)}
        15:{1,4,5}:{(5,1),(32,1),(34,1),(39,1),(82,1),(110,1),(175,1)}
        16:{2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(36,1),(97,1)}
        17:{1,3,5,6}:{(6,1),(35,1),(37,1),(38,1),(41,1),(84,1),(104,1),(115,1),(180,1)}
        18:{1,3,4,7}:{(6,1),(36,1),(38,1),(99,1),(200,1),(202,1),(309,1)}
        19:{2,4}:{(7,1),(8,1),(39,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(40,1),(41,1),(42,1),(47,1),(115,1),(120,1)}
        21:{1,3,5}:{(8,1),(39,1),(43,1),(44,1),(108,1),(110,1)}
        22:{2,3,6}:{(8,1),(9,1),(40,1),(44,1),(46,1),(97,1)}
        23:{1,3,5,6}:{(9,1),(10,1),(41,1),(45,1),(47,1),(48,1),(115,1),(218,1),(281,1),(322,1),(327,1),(372,1),(396,1),(415,1)}
        24:{1,3,7}:{(9,1),(11,1),(46,1),(309,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(48,1),(49,1),(103,1),(113,1),(198,1),(397,1)}
        26:{1,3,4}:{(12,1),(50,1),(266,1),(346,1)}
        27:{2,3,5}:{(12,1),(50,1),(52,1),(53,1),(59,1),(126,1),(137,1)}
        28:{1,3,6}:{(12,1),(13,1),(53,1),(55,1),(253,1)}
        29:{1,2,5,6}:{(13,1),(54,1),(56,1),(63,1),(126,1),(143,1),(157,1),(234,1),(269,1),(404,1)}
        30:{1,2,4,7}:{(13,1),(55,1),(56,1),(64,1),(127,1),(135,1),(144,1),(254,1)}
        31:{2,3,4}:{(14,1),(19,1),(50,1),(57,1),(137,1),(346,1)}
        32:{1,3,5}:{(14,1),(15,1),(57,1),(59,1),(60,1)}
        33:{2,3,6}:{(14,1),(16,1),(60,1),(62,1),(253,1)}
        34:{1,4,6}:{(15,1),(16,1),(60,1),(63,1),(64,1)}
        35:{2,5,6}:{(16,1),(17,1),(63,1),(66,1),(71,1),(126,1),(163,1),(234,1)}
        36:{2,4,7}:{(16,1),(18,1),(62,1),(64,1),(66,1),(144,1)}
        37:{1,4,5,6}:{(17,1),(65,1),(67,1),(73,1),(128,1),(145,1),(164,1),(235,1),(261,1),(353,1)}
        38:{1,3,5,7}:{(17,1),(18,1),(66,1),(67,1),(68,1),(153,1)}
        39:{1,4}:{(19,1),(21,1)}
        40:{2,4,6}:{(19,1),(20,1),(22,1),(70,1),(71,1),(72,1),(163,1)}
        41:{1,3,5}:{(20,1),(71,1),(73,1),(161,1)}
        42:{1,3,4,7}:{(20,1),(24,1),(72,1),(74,1),(80,1),(170,1)}
        43:{1,2,5}:{(21,1),(59,1),(69,1),(75,1)}
        44:{1,3,6}:{(21,1),(22,1),(70,1),(75,1),(77,1)}
        45:{2,3,5,6}:{(22,1),(23,1),(71,1),(76,1),(78,1),(79,1),(143,1),(161,1),(163,1),(244,1),(253,1),(270,1),(273,1),(274,1),(275,1),(348,1),(366,1),(408,1),(410,1)}
        46:{2,3,7}:{(22,1),(24,1),(72,1),(77,1),(144,1)}
        47:{1,4,6}:{(23,1),(73,1),(78,1),(80,1),(331,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(25,1),(79,1),(80,1),(81,1),(172,1),(365,1),(369,1)}
        49:{1,2,6,7}:{(25,1),(81,1),(152,1),(163,1),(255,1),(334,1)}
        50:{2,4}:{(26,1),(27,1),(82,1)}
        51:{1,3,4,6}:{(26,1),(28,1),(83,1),(84,1),(85,1),(90,1),(180,1),(185,1)}
        52:{1,3,5}:{(27,1),(82,1),(86,1),(87,1),(173,1),(175,1)}
        53:{2,3,6}:{(27,1),(28,1),(83,1),(87,1),(89,1),(97,1)}
        54:{1,3,5,6}:{(28,1),(29,1),(84,1),(88,1),(90,1),(91,1),(180,1),(209,1),(290,1),(320,1),(374,1),(379,1),(394,1),(417,1)}
        55:{1,3,7}:{(28,1),(30,1),(89,1),(309,1)}
        56:{1,2,5,7}:{(29,1),(30,1),(91,1),(92,1),(103,1),(178,1),(198,1),(418,1)}
        57:{1,3,4}:{(31,1),(32,1),(39,1),(82,1),(93,1),(108,1),(173,1)}
        58:{2,3,4,6}:{(31,1),(33,1),(40,1),(83,1),(94,1),(95,1),(96,1),(100,1),(120,1),(185,1),(189,1),(196,1),(222,1),(294,1),(299,1),(308,1),(383,1),(385,1)}
        59:{2,5}:{(32,1),(93,1),(97,1)}
        60:{1,3,6}:{(32,1),(33,1),(34,1),(97,1),(99,1)}
        61:{2,3,5,6}:{(33,1),(35,1),(95,1),(98,1),(100,1),(101,1),(104,1),(196,1),(204,1),(307,1),(308,1)}
        62:{2,3,7}:{(33,1),(36,1),(99,1),(309,1)}
        63:{1,5,6}:{(34,1),(35,1),(103,1),(110,1),(175,1),(215,1),(287,1)}
        64:{1,4,7}:{(34,1),(36,1),(99,1),(103,1)}
        65:{2,4,5,6}:{(35,1),(37,1),(100,1),(102,1),(104,1),(105,1),(112,1),(177,1),(197,1),(204,1),(217,1),(289,1),(307,1),(388,1),(389,1),(421,1)}
        66:{2,5,7}:{(35,1),(36,1),(38,1),(103,1),(106,1)}
        67:{1,4,5,7}:{(37,1),(38,1),(105,1),(107,1),(200,1),(313,1),(315,1)}
        68:{1,3,6,7}:{(38,1),(106,1),(107,1),(115,1),(180,1),(207,1)}
        69:{1,2,4}:{(39,1),(43,1),(93,1),(108,1)}
        70:{1,4,6}:{(39,1),(40,1),(44,1),(110,1),(111,1),(215,1)}
        71:{2,5}:{(40,1),(41,1),(110,1)}
        72:{2,4,7}:{(40,1),(42,1),(46,1),(111,1),(113,1)}
        73:{1,4,5}:{(41,1),(47,1),(112,1),(322,1),(415,1)}
        74:{1,3,5,7}:{(41,1),(42,1),(113,1),(114,1),(115,1),(216,1)}
        75:{1,2,6}:{(43,1),(44,1),(97,1),(117,1)}
        76:{1,3,5,6}:{(44,1),(45,1),(110,1),(116,1),(118,1),(119,1),(209,1),(213,1),(215,1),(219,1),(320,1),(324,1),(325,1),(394,1)}
        77:{1,3,7}:{(44,1),(46,1),(111,1),(117,1)}
        78:{2,4,6}:{(45,1),(47,1),(112,1),(118,1),(120,1),(121,1),(299,1),(421,1)}
        79:{2,3,5,7}:{(45,1),(46,1),(48,1),(113,1),(119,1),(121,1),(122,1),(198,1),(216,1),(226,1),(309,1),(323,1),(328,1),(392,1)}
        80:{1,4,7}:{(47,1),(48,1),(121,1)}
        81:{1,3,6,7}:{(48,1),(49,1),(115,1),(122,1),(123,1),(372,1),(396,1)}
        82:{1,4}:{(50,1),(52,1)}
        83:{2,4,6}:{(50,1),(51,1),(53,1),(125,1),(126,1),(127,1),(234,1)}
        84:{1,3,5}:{(51,1),(126,1),(128,1),(232,1)}
        85:{1,3,4,7}:{(51,1),(55,1),(127,1),(129,1),(135,1),(241,1)}
        86:{1,2,5}:{(52,1),(59,1),(124,1),(130,1)}
        87:{1,3,6}:{(52,1),(53,1),(125,1),(130,1),(132,1)}
        88:{2,3,5,6}:{(53,1),(54,1),(126,1),(131,1),(133,1),(134,1),(143,1),(232,1),(234,1),(244,1),(253,1),(335,1),(338,1),(339,1),(340,1),(348,1),(402,1),(408,1),(410,1)}
        89:{2,3,7}:{(53,1),(55,1),(127,1),(132,1),(144,1)}
        90:{1,4,6}:{(54,1),(128,1),(133,1),(135,1),(266,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(56,1),(134,1),(135,1),(136,1),(243,1),(401,1),(405,1)}
        92:{1,2,6,7}:{(56,1),(136,1),(152,1),(234,1),(255,1),(269,1)}
        93:{2,4}:{(57,1),(59,1),(137,1)}
        94:{1,3,4,6}:{(57,1),(58,1),(60,1),(70,1),(125,1),(138,1),(139,1),(140,1),(145,1),(156,1),(227,1),(250,1),(253,1),(266,1),(277,1),(331,1),(342,1),(346,1),(355,1),(363,1),(399,1),(406,1),(407,1)}
        95:{2,3,5}:{(58,1),(71,1),(126,1),(139,1),(141,1),(161,1),(232,1),(270,1),(335,1),(408,1)}
        96:{2,3,4,7}:{(58,1),(62,1),(72,1),(127,1),(140,1),(142,1),(148,1),(170,1),(241,1),(245,1),(278,1),(343,1),(347,1),(356,1)}
        97:{2,6}:{(59,1),(60,1),(144,1)}
        98:{1,3,5,6}:{(60,1),(61,1),(63,1),(139,1),(143,1),(145,1),(146,1),(250,1),(253,1),(261,1),(353,1),(355,1),(410,1)}
        99:{1,3,7}:{(60,1),(62,1),(64,1),(144,1)}
       100:{2,4,6}:{(61,1),(141,1),(145,1),(147,1),(148,1)}
       101:{2,3,5,7}:{(61,1),(62,1),(66,1),(146,1),(148,1),(149,1),(153,1),(260,1),(262,1),(356,1)}
       102:{1,4,5,6}:{(63,1),(65,1),(145,1),(150,1),(151,1),(159,1),(230,1),(272,1),(337,1),(353,1)}
       103:{1,5,7}:{(63,1),(64,1),(66,1),(152,1)}
       104:{3,5,6}:{(65,1),(147,1),(153,1),(161,1),(232,1),(253,1),(273,1),(338,1)}
       105:{2,4,5,7}:{(65,1),(66,1),(67,1),(148,1),(151,1),(153,1),(154,1),(254,1),(260,1),(262,1),(358,1),(360,1),(412,1)}
       106:{2,6,7}:{(66,1),(68,1),(152,1),(163,1),(234,1)}
       107:{1,4,6,7}:{(67,1),(68,1),(154,1),(155,1),(164,1),(235,1),(361,1)}
       108:{1,3}:{(69,1),(137,1)}
       109:{1,2,4,6}:{(69,1),(70,1),(75,1),(138,1),(156,1),(157,1),(158,1),(266,1),(269,1),(342,1),(363,1),(404,1),(423,1)}
       110:{1,5}:{(70,1),(71,1)}
       111:{1,4,7}:{(70,1),(72,1),(77,1),(160,1)}
       112:{2,4,5}:{(71,1),(73,1),(78,1),(159,1),(161,1),(270,1),(408,1),(425,1)}
       113:{2,5,7}:{(71,1),(72,1),(74,1),(160,1),(163,1)}
       114:{1,4,5,7}:{(73,1),(74,1),(80,1),(162,1),(164,1),(172,1),(365,1)}
       115:{1,3,6}:{(74,1),(163,1),(164,1),(273,1)}
       116:{1,2,5,6}:{(75,1),(76,1),(143,1),(157,1),(165,1),(166,1),(261,1),(269,1),(270,1),(366,1)}
       117:{1,2,7}:{(75,1),(77,1),(144,1)}
       118:{1,4,6}:{(76,1),(78,1),(159,1),(168,1),(266,1)}
       119:{1,3,5,7}:{(76,1),(77,1),(79,1),(160,1),(166,1),(168,1),(169,1),(276,1),(279,1)}
       120:{3,4,6}:{(78,1),(161,1),(170,1),(253,1),(273,1),(346,1)}
       121:{2,4,7}:{(78,1),(79,1),(80,1),(168,1),(170,1),(412,1)}
       122:{2,3,6,7}:{(79,1),(81,1),(163,1),(169,1),(171,1),(255,1),(273,1),(348,1),(357,1),(366,1)}
       123:{1,4,6,7}:{(80,1),(81,1),(164,1),(171,1),(172,1),(399,1)}
       124:{1,2,4}:{(82,1),(86,1),(93,1),(173,1)}
       125:{1,4,6}:{(82,1),(83,1),(87,1),(175,1),(176,1),(287,1)}
       126:{2,5}:{(83,1),(84,1),(175,1)}
       127:{2,4,7}:{(83,1),(85,1),(89,1),(176,1),(178,1)}
       128:{1,4,5}:{(84,1),(90,1),(177,1),(374,1),(394,1)}
       129:{1,3,5,7}:{(84,1),(85,1),(178,1),(179,1),(180,1),(288,1)}
       130:{1,2,6}:{(86,1),(87,1),(97,1),(182,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(175,1),(181,1),(183,1),(184,1),(281,1),(285,1),(287,1),(291,1),(372,1),(376,1),(377,1),(415,1)}
       132:{1,3,7}:{(87,1),(89,1),(176,1),(182,1)}
       133:{2,4,6}:{(88,1),(90,1),(177,1),(183,1),(185,1),(186,1),(299,1),(421,1)}
       134:{2,3,5,7}:{(88,1),(89,1),(91,1),(178,1),(184,1),(186,1),(187,1),(198,1),(288,1),(298,1),(309,1),(375,1),(380,1),(392,1)}
       135:{1,4,7}:{(90,1),(91,1),(186,1)}
       136:{1,3,6,7}:{(91,1),(92,1),(180,1),(187,1),(188,1),(320,1),(417,1)}
       137:{2,3}:{(93,1),(108,1),(173,1)}
       138:{2,4,6}:{(93,1),(94,1),(97,1),(189,1),(190,1),(191,1),(299,1),(303,1),(390,1),(419,1)}
       139:{1,3,5}:{(94,1),(95,1),(110,1),(175,1),(190,1),(192,1),(301,1),(322,1),(374,1),(394,1),(415,1),(420,1)}
       140:{1,3,4,7}:{(94,1),(96,1),(99,1),(111,1),(176,1),(191,1),(193,1),(200,1),(210,1),(282,1),(309,1),(319,1),(329,1),(371,1),(381,1),(384,1),(391,1)}
       141:{2,4,5}:{(95,1),(100,1),(192,1),(194,1),(299,1)}
       142:{2,3,5,7}:{(95,1),(96,1),(113,1),(178,1),(193,1),(195,1),(196,1),(216,1),(288,1),(323,1),(375,1)}
       143:{2,5,6}:{(97,1),(98,1),(190,1),(197,1),(198,1),(303,1),(390,1)}
       144:{2,7}:{(97,1),(99,1)}
       145:{1,4,6}:{(98,1),(100,1),(192,1),(197,1),(200,1),(421,1)}
       146:{1,3,5,7}:{(98,1),(99,1),(101,1),(103,1),(198,1),(200,1),(201,1),(309,1),(313,1),(315,1),(391,1),(392,1)}
       147:{3,4,6}:{(100,1),(104,1),(194,1),(202,1),(421,1)}
       148:{2,4,7}:{(100,1),(101,1),(200,1),(202,1)}
       149:{2,3,6,7}:{(101,1),(106,1),(196,1),(201,1),(203,1),(207,1),(316,1)}
       150:{1,3,5,6}:{(102,1),(104,1),(199,1),(204,1),(205,1),(213,1),(285,1),(324,1),(376,1)}
       151:{1,4,5,7}:{(102,1),(103,1),(105,1),(200,1),(205,1),(206,1),(313,1)}
       152:{1,6,7}:{(103,1),(106,1),(215,1),(287,1)}
       153:{3,5,7}:{(104,1),(105,1),(202,1),(207,1),(309,1)}
       154:{2,4,6,7}:{(105,1),(106,1),(107,1),(206,1),(207,1),(208,1),(217,1),(289,1),(316,1),(317,1)}
       155:{1,5,6,7}:{(107,1),(208,1),(218,1),(290,1),(313,1)}
       156:{1,3,6}:{(108,1),(109,1),(189,1),(209,1),(210,1),(426,1)}
       157:{1,2,5}:{(109,1),(110,1),(190,1),(209,1),(374,1),(394,1)}
       158:{1,2,4,7}:{(109,1),(111,1),(117,1),(191,1),(210,1),(212,1),(319,1),(381,1),(418,1)}
       159:{1,4,5}:{(110,1),(112,1),(118,1),(213,1),(394,1)}
       160:{1,5,7}:{(110,1),(111,1),(113,1),(215,1)}
       161:{3,5}:{(112,1),(120,1)}
       162:{2,4,5,7}:{(112,1),(113,1),(114,1),(121,1),(214,1),(216,1),(217,1),(226,1),(323,1),(330,1)}
       163:{2,6}:{(113,1),(115,1),(215,1)}
       164:{1,4,6}:{(114,1),(115,1),(217,1),(218,1),(396,1)}
       165:{1,2,4,6}:{(116,1),(118,1),(197,1),(211,1),(219,1),(220,1),(222,1),(311,1),(390,1)}
       166:{1,2,5,7}:{(116,1),(117,1),(119,1),(198,1),(220,1),(221,1),(315,1),(323,1)}
       167:{1,3,4,6}:{(118,1),(120,1),(213,1),(219,1),(222,1),(223,1),(318,1),(324,1)}
       168:{1,4,7}:{(118,1),(119,1),(121,1)}
       169:{1,3,6,7}:{(119,1),(122,1),(215,1),(221,1),(224,1),(320,1),(324,1)}
       170:{3,4,7}:{(120,1),(121,1),(216,1),(309,1)}
       171:{2,4,6,7}:{(121,1),(122,1),(123,1),(217,1),(224,1),(225,1),(226,1),(385,1)}
       172:{1,5,7}:{(123,1),(218,1),(226,1),(415,1)}
       173:{1,3}:{(124,1),(137,1)}
       174:{1,2,4,6}:{(124,1),(125,1),(130,1),(138,1),(227,1),(228,1),(229,1),(277,1),(331,1),(334,1),(368,1),(399,1),(413,1)}
       175:{1,5}:{(125,1),(126,1)}
       176:{1,4,7}:{(125,1),(127,1),(132,1),(231,1)}
       177:{2,4,5}:{(126,1),(128,1),(133,1),(230,1),(232,1),(335,1),(408,1),(425,1)}
       178:{2,5,7}:{(126,1),(127,1),(129,1),(231,1),(234,1)}
       179:{1,4,5,7}:{(128,1),(129,1),(135,1),(233,1),(235,1),(243,1),(401,1)}
       180:{1,3,6}:{(129,1),(234,1),(235,1),(338,1)}
       181:{1,2,5,6}:{(130,1),(131,1),(143,1),(228,1),(236,1),(237,1),(261,1),(334,1),(335,1),(402,1)}
       182:{1,2,7}:{(130,1),(132,1),(144,1)}
       183:{1,4,6}:{(131,1),(133,1),(230,1),(239,1),(331,1)}
       184:{1,3,5,7}:{(131,1),(132,1),(134,1),(231,1),(237,1),(239,1),(240,1),(341,1),(344,1)}
       185:{3,4,6}:{(133,1),(232,1),(241,1),(253,1),(338,1),(346,1)}
       186:{2,4,7}:{(133,1),(134,1),(135,1),(239,1),(241,1),(412,1)}
       187:{2,3,6,7}:{(134,1),(136,1),(234,1),(240,1),(242,1),(255,1),(338,1),(348,1),(357,1),(402,1)}
       188:{1,4,6,7}:{(135,1),(136,1),(235,1),(242,1),(243,1),(363,1)}
       189:{2,3,6}:{(137,1),(138,1),(156,1),(227,1),(244,1),(245,1),(253,1),(424,1)}
       190:{2,5}:{(138,1),(139,1)}
       191:{2,4,7}:{(138,1),(140,1),(144,1),(245,1),(247,1),(411,1)}
       192:{1,4,5}:{(139,1),(141,1),(145,1),(246,1),(266,1),(331,1),(425,1)}
       193:{1,3,5,7}:{(139,1),(140,1),(142,1),(160,1),(231,1),(247,1),(249,1),(250,1),(350,1),(365,1),(401,1)}
       194:{3,4,5}:{(141,1),(147,1),(161,1),(232,1),(346,1),(425,1)}
       195:{2,4,5,7}:{(141,1),(142,1),(148,1),(249,1),(251,1),(252,1),(260,1),(347,1),(408,1)}
       196:{2,3,6}:{(142,1),(163,1),(234,1),(250,1),(252,1),(273,1),(338,1),(366,1),(402,1)}
       197:{2,4,6}:{(143,1),(145,1),(246,1),(253,1),(254,1)}
       198:{2,5,7}:{(143,1),(144,1),(146,1),(254,1),(255,1),(411,1)}
       199:{1,3,4,6}:{(145,1),(147,1),(150,1),(248,1),(253,1),(256,1),(257,1),(355,1)}
       200:{1,4,7}:{(145,1),(146,1),(148,1),(254,1),(412,1)}
       201:{1,3,6,7}:{(146,1),(149,1),(152,1),(250,1),(255,1),(258,1),(357,1),(361,1)}
       202:{3,4,7}:{(147,1),(148,1),(153,1),(412,1)}
       203:{2,4,6,7}:{(148,1),(149,1),(252,1),(258,1),(259,1),(260,1)}
       204:{2,5,6}:{(150,1),(256,1),(261,1),(262,1),(270,1),(335,1),(366,1),(402,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(257,1),(262,1),(263,1)}
       206:{1,4,6,7}:{(151,1),(152,1),(154,1),(263,1),(264,1),(272,1),(337,1)}
       207:{3,6,7}:{(153,1),(154,1),(273,1),(338,1)}
       208:{2,5,6,7}:{(154,1),(155,1),(260,1),(264,1),(265,1),(274,1),(339,1),(358,1)}
       209:{1,3,5}:{(156,1),(157,1),(244,1),(266,1)}
       210:{1,3,7}:{(156,1),(158,1),(245,1)}
       211:{1,2,4,5}:{(157,1),(159,1),(165,1),(246,1),(266,1),(268,1),(270,1),(352,1),(362,1),(409,1),(423,1)}
       212:{1,2,5,7}:{(157,1),(158,1),(160,1),(247,1),(267,1),(269,1),(401,1)}
       213:{1,3,5}:{(159,1),(161,1),(167,1),(270,1)}
       214:{1,4,5,7}:{(159,1),(160,1),(162,1),(168,1),(271,1),(272,1),(279,1)}
       215:{1,6}:{(160,1),(163,1)}
       216:{3,5,7}:{(161,1),(162,1),(170,1),(273,1)}
       217:{2,4,6}:{(162,1),(163,1),(164,1),(272,1),(273,1),(274,1),(366,1),(367,1)}
       218:{1,5,6}:{(164,1),(172,1),(274,1)}
       219:{1,3,6}:{(165,1),(253,1),(268,1),(275,1),(276,1)}
       220:{1,2,4,7}:{(165,1),(166,1),(168,1),(254,1),(276,1),(278,1),(359,1),(411,1)}
       221:{1,2,6,7}:{(166,1),(169,1),(255,1),(269,1),(361,1),(366,1)}
       222:{2,4,6}:{(167,1),(270,1),(275,1),(277,1),(278,1),(362,1),(366,1)}
       223:{1,3,4,7}:{(167,1),(168,1),(170,1),(271,1),(276,1),(278,1)}
       224:{1,4,6,7}:{(168,1),(169,1),(171,1),(272,1),(279,1),(363,1)}
       225:{3,4,6,7}:{(170,1),(171,1),(273,1),(280,1),(357,1),(367,1),(407,1),(412,1)}
       226:{2,5,7}:{(171,1),(172,1),(274,1),(279,1),(280,1),(408,1)}
       227:{1,3,6}:{(173,1),(174,1),(189,1),(281,1),(282,1),(422,1)}
       228:{1,2,5}:{(174,1),(175,1),(190,1),(281,1),(322,1),(415,1)}
       229:{1,2,4,7}:{(174,1),(176,1),(182,1),(191,1),(282,1),(284,1),(329,1),(371,1),(397,1)}
       230:{1,4,5}:{(175,1),(177,1),(183,1),(285,1),(415,1)}
       231:{1,5,7}:{(175,1),(176,1),(178,1),(287,1)}
       232:{3,5}:{(177,1),(185,1)}
       233:{2,4,5,7}:{(177,1),(178,1),(179,1),(186,1),(286,1),(288,1),(289,1),(298,1),(375,1),(382,1)}
       234:{2,6}:{(178,1),(180,1),(287,1)}
       235:{1,4,6}:{(179,1),(180,1),(289,1),(290,1),(417,1)}
       236:{1,2,4,6}:{(181,1),(183,1),(197,1),(283,1),(291,1),(292,1),(294,1),(311,1),(390,1)}
       237:{1,2,5,7}:{(181,1),(182,1),(184,1),(198,1),(292,1),(293,1),(315,1),(375,1)}
       238:{1,3,4,6}:{(183,1),(185,1),(285,1),(291,1),(294,1),(295,1),(370,1),(376,1)}
       239:{1,4,7}:{(183,1),(184,1),(186,1)}
       240:{1,3,6,7}:{(184,1),(187,1),(287,1),(293,1),(296,1),(372,1),(376,1)}
       241:{3,4,7}:{(185,1),(186,1),(288,1),(309,1)}
       242:{2,4,6,7}:{(186,1),(187,1),(188,1),(289,1),(296,1),(297,1),(298,1),(385,1)}
       243:{1,5,7}:{(188,1),(290,1),(298,1),(394,1)}
       244:{2,3,5}:{(189,1),(190,1),(209,1),(281,1),(299,1),(301,1)}
       245:{2,3,7}:{(189,1),(191,1),(210,1),(282,1),(309,1)}
       246:{2,4,5}:{(190,1),(192,1),(197,1),(299,1),(301,1)}
       247:{2,5,7}:{(190,1),(191,1),(193,1),(303,1)}
       248:{1,3,4,5}:{(192,1),(194,1),(199,1),(213,1),(285,1),(301,1),(304,1),(318,1),(370,1),(386,1)}
       249:{1,4,5,7}:{(192,1),(193,1),(195,1),(200,1),(302,1),(305,1),(313,1),(319,1),(371,1),(394,1),(415,1)}
       250:{1,3,6}:{(193,1),(196,1),(215,1),(287,1),(303,1),(305,1),(387,1),(396,1),(417,1)}
       251:{3,4,5,7}:{(194,1),(195,1),(202,1),(216,1),(288,1),(306,1),(314,1),(330,1),(382,1),(384,1),(420,1)}
       252:{2,4,6}:{(195,1),(196,1),(305,1),(306,1),(307,1)}
       253:{3,6}:{(197,1),(301,1),(309,1)}
       254:{2,4,7}:{(197,1),(198,1),(200,1),(309,1)}
       255:{2,6,7}:{(198,1),(201,1),(303,1)}
       256:{2,4,6}:{(199,1),(204,1),(304,1),(308,1),(311,1),(312,1),(390,1)}
       257:{1,3,4,7}:{(199,1),(200,1),(202,1),(205,1),(309,1),(312,1),(391,1)}
       258:{1,4,6,7}:{(200,1),(201,1),(203,1),(305,1),(310,1),(313,1)}
       259:{3,4,6,7}:{(202,1),(203,1),(207,1),(306,1),(314,1),(317,1)}
       260:{2,5,7}:{(203,1),(307,1),(313,1),(314,1)}
       261:{1,5,6}:{(204,1),(311,1),(315,1),(322,1),(374,1),(396,1),(417,1)}
       262:{2,5,7}:{(204,1),(205,1),(312,1),(315,1),(316,1)}
       263:{1,3,6,7}:{(205,1),(206,1),(207,1),(316,1),(324,1),(376,1)}
       264:{1,5,6,7}:{(206,1),(208,1),(313,1),(325,1),(377,1)}
       265:{3,5,6,7}:{(207,1),(208,1),(314,1),(317,1),(326,1),(378,1),(392,1)}
       266:{1,4}:{(209,1),(299,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(300,1),(319,1),(320,1),(394,1)}
       268:{1,3,5}:{(211,1),(219,1),(301,1),(318,1),(321,1),(426,1)}
       269:{1,2,6}:{(212,1),(215,1),(303,1),(320,1),(417,1)}
       270:{2,5}:{(213,1),(222,1),(322,1)}
       271:{1,3,5,7}:{(213,1),(214,1),(216,1),(223,1),(323,1),(324,1)}
       272:{1,4,6}:{(214,1),(215,1),(217,1),(324,1),(325,1)}
       273:{3,6}:{(216,1),(217,1)}
       274:{2,5,6}:{(217,1),(218,1),(226,1),(325,1),(326,1)}
       275:{2,3,6}:{(219,1),(222,1),(321,1),(327,1),(328,1),(390,1)}
       276:{1,3,7}:{(219,1),(220,1),(309,1),(328,1)}
       277:{1,4,6}:{(222,1),(322,1),(327,1),(329,1),(393,1),(396,1)}
       278:{2,4,7}:{(222,1),(223,1),(323,1),(328,1),(329,1)}
       279:{1,5,7}:{(224,1),(226,1),(325,1),(394,1)}
       280:{3,5,7}:{(225,1),(226,1),(326,1),(330,1),(420,1)}
       281:{1,3,5}:{(227,1),(228,1),(244,1),(331,1)}
       282:{1,3,7}:{(227,1),(229,1),(245,1)}
       283:{1,2,4,5}:{(228,1),(230,1),(236,1),(246,1),(331,1),(333,1),(335,1),(352,1),(398,1),(409,1),(413,1)}
       284:{1,2,5,7}:{(228,1),(229,1),(231,1),(247,1),(332,1),(334,1),(365,1)}
       285:{1,3,5}:{(230,1),(232,1),(238,1),(335,1)}
       286:{1,4,5,7}:{(230,1),(231,1),(233,1),(239,1),(336,1),(337,1),(344,1)}
       287:{1,6}:{(231,1),(234,1)}
       288:{3,5,7}:{(232,1),(233,1),(241,1),(338,1)}
       289:{2,4,6}:{(233,1),(234,1),(235,1),(337,1),(338,1),(339,1),(402,1),(403,1)}
       290:{1,5,6}:{(235,1),(243,1),(339,1)}
       291:{1,3,6}:{(236,1),(253,1),(333,1),(340,1),(341,1)}
       292:{1,2,4,7}:{(236,1),(237,1),(239,1),(254,1),(341,1),(343,1),(359,1),(411,1)}
       293:{1,2,6,7}:{(237,1),(240,1),(255,1),(334,1),(361,1),(402,1)}
       294:{2,4,6}:{(238,1),(335,1),(340,1),(342,1),(343,1),(398,1),(402,1)}
       295:{1,3,4,7}:{(238,1),(239,1),(241,1),(336,1),(341,1),(343,1)}
       296:{1,4,6,7}:{(239,1),(240,1),(242,1),(337,1),(344,1),(399,1)}
       297:{3,4,6,7}:{(241,1),(242,1),(338,1),(345,1),(357,1),(403,1),(407,1),(412,1)}
       298:{2,5,7}:{(242,1),(243,1),(339,1),(344,1),(345,1),(408,1)}
       299:{2,4}:{(244,1),(266,1),(331,1),(346,1)}
       300:{2,3,5,7}:{(244,1),(245,1),(247,1),(267,1),(332,1),(347,1),(348,1),(350,1),(408,1)}
       301:{3,5}:{(246,1),(253,1),(346,1)}
       302:{2,4,5,7}:{(246,1),(247,1),(249,1),(254,1),(347,1),(350,1),(351,1),(358,1),(408,1),(412,1),(425,1)}
       303:{2,6}:{(247,1),(250,1)}
       304:{2,4,5}:{(248,1),(256,1),(270,1),(335,1),(349,1),(352,1),(362,1),(398,1),(409,1)}
       305:{1,4,6}:{(249,1),(250,1),(252,1),(351,1),(353,1)}
       306:{3,4,6}:{(251,1),(252,1),(273,1),(338,1),(354,1),(367,1),(403,1)}
       307:{2,5,6}:{(252,1),(260,1),(353,1),(354,1),(408,1)}
       308:{2,3,6}:{(253,1),(256,1),(349,1),(355,1),(356,1)}
       309:{3,7}:{(253,1),(254,1)}
       310:{2,4,6,7}:{(254,1),(255,1),(258,1),(351,1),(357,1),(358,1),(412,1)}
       311:{1,4,6}:{(256,1),(261,1),(352,1),(355,1),(359,1)}
       312:{2,4,7}:{(256,1),(257,1),(262,1),(356,1),(359,1),(411,1)}
       313:{1,5,7}:{(258,1),(260,1),(353,1),(358,1)}
       314:{3,5,7}:{(259,1),(260,1),(354,1),(360,1)}
       315:{1,5,7}:{(261,1),(262,1),(359,1),(361,1)}
       316:{2,6,7}:{(262,1),(263,1),(361,1),(366,1),(402,1)}
       317:{4,6,7}:{(265,1),(360,1),(367,1),(403,1),(412,1)}
       318:{1,3,4}:{(266,1),(268,1),(346,1),(362,1)}
       319:{1,4,7}:{(266,1),(267,1),(347,1),(363,1)}
       320:{1,3,6}:{(267,1),(269,1),(348,1),(363,1)}
       321:{2,3,5}:{(268,1),(270,1),(275,1),(362,1),(364,1),(409,1),(424,1)}
       322:{1,5}:{(270,1),(277,1)}
       323:{2,5,7}:{(270,1),(271,1),(278,1),(365,1),(366,1)}
       324:{1,3,6}:{(271,1),(272,1),(273,1),(366,1)}
       325:{1,5,6}:{(272,1),(274,1),(279,1)}
       326:{3,5,6}:{(273,1),(274,1),(280,1),(367,1)}
       327:{1,3,6}:{(275,1),(277,1),(364,1),(368,1),(369,1)}
       328:{2,3,7}:{(275,1),(276,1),(278,1),(369,1),(411,1)}
       329:{1,4,7}:{(277,1),(278,1),(365,1),(369,1)}
       330:{4,5,7}:{(280,1),(367,1),(412,1),(425,1)}
       331:{1,4}:{(281,1),(299,1)}
       332:{1,3,5,7}:{(281,1),(282,1),(284,1),(300,1),(371,1),(372,1),(415,1)}
       333:{1,3,5}:{(283,1),(291,1),(301,1),(370,1),(373,1),(422,1)}
       334:{1,2,6}:{(284,1),(287,1),(303,1),(372,1),(396,1)}
       335:{2,5}:{(285,1),(294,1),(374,1)}
       336:{1,3,5,7}:{(285,1),(286,1),(288,1),(295,1),(375,1),(376,1)}
       337:{1,4,6}:{(286,1),(287,1),(289,1),(376,1),(377,1)}
       338:{3,6}:{(288,1),(289,1)}
       339:{2,5,6}:{(289,1),(290,1),(298,1),(377,1),(378,1)}
       340:{2,3,6}:{(291,1),(294,1),(373,1),(379,1),(380,1),(390,1)}
       341:{1,3,7}:{(291,1),(292,1),(309,1),(380,1)}
       342:{1,4,6}:{(294,1),(374,1),(379,1),(381,1),(414,1),(417,1)}
       343:{2,4,7}:{(294,1),(295,1),(375,1),(380,1),(381,1)}
       344:{1,5,7}:{(296,1),(298,1),(377,1),(415,1)}
       345:{3,5,7}:{(297,1),(298,1),(378,1),(382,1),(420,1)}
       346:{3,4}:{(299,1),(301,1)}
       347:{2,4,7}:{(299,1),(300,1),(319,1),(371,1),(384,1),(385,1)}
       348:{2,3,6}:{(300,1),(303,1),(320,1),(372,1),(385,1),(387,1)}
       349:{2,3,5}:{(301,1),(304,1),(308,1),(383,1),(386,1)}
       350:{3,5,7}:{(301,1),(302,1),(309,1),(384,1),(387,1),(420,1)}
       351:{2,4,6}:{(302,1),(303,1),(305,1),(387,1),(388,1),(421,1)}
       352:{1,4,5}:{(304,1),(311,1),(322,1),(374,1),(386,1),(393,1),(414,1)}
       353:{1,5,6}:{(305,1),(307,1),(313,1),(388,1),(394,1),(415,1)}
       354:{3,5,6}:{(306,1),(307,1),(314,1),(389,1),(420,1)}
       355:{1,3,6}:{(308,1),(311,1),(386,1),(390,1),(391,1)}
       356:{2,3,7}:{(308,1),(309,1),(312,1),(391,1)}
       357:{3,6,7}:{(309,1),(310,1),(387,1),(392,1)}
       358:{2,5,7}:{(310,1),(313,1),(388,1),(392,1)}
       359:{1,4,7}:{(311,1),(312,1),(315,1),(391,1)}
       360:{4,5,7}:{(314,1),(317,1),(389,1)}
       361:{1,6,7}:{(315,1),(316,1),(396,1),(417,1)}
       362:{2,4}:{(318,1),(321,1),(393,1)}
       363:{1,4,6}:{(319,1),(320,1),(385,1),(394,1)}
       364:{1,3,5}:{(321,1),(322,1),(327,1),(393,1),(395,1),(422,1)}
       365:{1,5,7}:{(322,1),(323,1),(329,1),(396,1)}
       366:{2,6}:{(323,1),(324,1),(396,1)}
       367:{4,6}:{(326,1),(330,1)}
       368:{1,2,6}:{(327,1),(390,1),(395,1),(397,1)}
       369:{1,3,7}:{(327,1),(328,1),(329,1),(397,1)}
       370:{1,3,4}:{(331,1),(333,1),(346,1),(398,1)}
       371:{1,4,7}:{(331,1),(332,1),(347,1),(399,1)}
       372:{1,3,6}:{(332,1),(334,1),(348,1),(399,1)}
       373:{2,3,5}:{(333,1),(335,1),(340,1),(398,1),(400,1),(409,1),(424,1)}
       374:{1,5}:{(335,1),(342,1)}
       375:{2,5,7}:{(335,1),(336,1),(343,1),(401,1),(402,1)}
       376:{1,3,6}:{(336,1),(337,1),(338,1),(402,1)}
       377:{1,5,6}:{(337,1),(339,1),(344,1)}
       378:{3,5,6}:{(338,1),(339,1),(345,1),(403,1)}
       379:{1,3,6}:{(340,1),(342,1),(400,1),(404,1),(405,1)}
       380:{2,3,7}:{(340,1),(341,1),(343,1),(405,1),(411,1)}
       381:{1,4,7}:{(342,1),(343,1),(401,1),(405,1)}
       382:{4,5,7}:{(345,1),(403,1),(412,1),(425,1)}
       383:{2,3,4}:{(346,1),(349,1),(362,1),(398,1),(406,1),(424,1)}
       384:{3,4,7}:{(346,1),(347,1),(350,1),(407,1),(412,1)}
       385:{2,4,6}:{(347,1),(348,1),(363,1),(399,1),(407,1),(408,1)}
       386:{1,3,5}:{(349,1),(352,1),(355,1),(406,1),(409,1)}
       387:{3,6}:{(350,1),(351,1)}
       388:{2,5,6}:{(351,1),(353,1),(358,1),(408,1),(410,1)}
       389:{4,5,6}:{(354,1),(360,1),(367,1),(403,1),(425,1)}
       390:{2,6}:{(355,1),(409,1),(411,1)}
       391:{1,3,7}:{(355,1),(356,1),(359,1),(411,1)}
       392:{3,5,7}:{(357,1),(358,1),(410,1),(412,1)}
       393:{1,4}:{(362,1),(364,1)}
       394:{1,5}:{(363,1),(408,1)}
       395:{1,2,5}:{(364,1),(368,1),(409,1),(413,1)}
       396:{1,6}:{(365,1),(366,1)}
       397:{1,2,7}:{(368,1),(369,1),(411,1)}
       398:{2,4}:{(370,1),(373,1),(414,1)}
       399:{1,4,6}:{(371,1),(372,1),(385,1),(415,1)}
       400:{1,3,5}:{(373,1),(374,1),(379,1),(414,1),(416,1),(426,1)}
       401:{1,5,7}:{(374,1),(375,1),(381,1),(417,1)}
       402:{2,6}:{(375,1),(376,1),(417,1)}
       403:{4,6}:{(378,1),(382,1)}
       404:{1,2,6}:{(379,1),(390,1),(416,1),(418,1)}
       405:{1,3,7}:{(379,1),(380,1),(381,1),(418,1)}
       406:{1,3,4}:{(383,1),(386,1),(393,1),(414,1),(419,1),(422,1),(426,1)}
       407:{3,4,6}:{(384,1),(385,1),(387,1),(420,1),(421,1)}
       408:{2,5}:{(385,1),(394,1),(415,1),(420,1)}
       409:{2,5}:{(386,1),(390,1),(419,1)}
       410:{3,5,6}:{(387,1),(388,1),(392,1),(420,1),(421,1)}
       411:{2,7}:{(390,1),(391,1)}
       412:{4,7}:{(392,1),(421,1)}
       413:{1,2,4}:{(393,1),(395,1),(419,1),(422,1)}
       414:{1,4}:{(398,1),(400,1)}
       415:{1,5}:{(399,1),(408,1)}
       416:{1,2,5}:{(400,1),(404,1),(409,1),(423,1)}
       417:{1,6}:{(401,1),(402,1)}
       418:{1,2,7}:{(404,1),(405,1),(411,1)}
       419:{2,4}:{(406,1),(409,1),(424,1)}
       420:{3,5}:{(407,1),(408,1),(425,1)}
       421:{4,6}:{(410,1),(412,1),(425,1)}
       422:{1,3}:{(413,1),(424,1)}
       423:{1,2,4}:{(414,1),(416,1),(419,1),(426,1)}
       424:{2,3}:{(419,1),(422,1),(426,1)}
       425:{4,5}:{(420,1),(421,1)}
       426:{1,3}:{(423,1),(424,1)}

 815 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(13,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(25,1),(29,1),(54,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(54,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(13,1),(15,1),(31,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(12,1),(16,1),(17,1),(69,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(39,1),(114,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(47,1),(54,1),(58,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(19,1),(21,1),(22,1),(28,1)}
        13:{1,3,6}:{(6,1),(7,1),(22,1)}
        14:{1,2,4,6,7}:{(7,1),(23,1),(25,1),(45,1),(54,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(24,1),(25,1),(46,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(21,1),(26,1),(27,1),(82,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(22,1),(27,1),(28,1),(53,1),(105,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(43,1),(61,1),(69,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(31,1),(33,1),(39,1),(70,1)}
        21:{1,3,5,7}:{(12,1),(16,1),(30,1),(34,1),(35,1),(42,1)}
        22:{2,3,6}:{(12,1),(13,1),(31,1),(35,1)}
        23:{1,3,6,7}:{(13,1),(14,1),(36,1),(38,1),(123,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(18,1),(37,1),(38,1),(39,1),(112,1),(114,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(38,1),(61,1),(124,1)}
        26:{1,2,4,7}:{(16,1),(34,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(35,1),(41,1),(42,1),(68,1),(94,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(44,1),(57,1),(74,1),(82,1)}
        31:{2,4,6}:{(19,1),(20,1),(22,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(45,1),(47,1),(54,1),(79,1),(84,1),(103,1)}
        33:{1,3,5,6}:{(20,1),(46,1),(47,1),(48,1),(78,1)}
        34:{1,2,5,7}:{(21,1),(26,1),(49,1),(56,1)}
        35:{1,3,6}:{(21,1),(22,1),(44,1),(49,1)}
        36:{2,3,6,7}:{(22,1),(23,1),(45,1),(50,1),(52,1),(103,1),(118,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(28,1),(46,1),(51,1),(52,1),(53,1),(78,1),(102,1),(105,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(52,1),(54,1),(119,1),(120,1)}
        39:{1,4,6}:{(24,1),(29,1),(53,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(49,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
        44:{1,4,6}:{(30,1),(31,1),(35,1),(60,1)}
        45:{2,4,6,7}:{(31,1),(32,1),(36,1),(59,1),(61,1),(69,1)}
        46:{2,5,6}:{(31,1),(33,1),(60,1),(61,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(61,1),(64,1),(92,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,2,6}:{(34,1),(35,1)}
        50:{1,3,6,7}:{(35,1),(36,1),(59,1),(65,1),(67,1)}
        51:{1,3,5,6}:{(35,1),(37,1),(42,1),(60,1),(66,1),(67,1),(68,1),(94,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(38,1),(61,1),(67,1),(69,1),(92,1),(111,1),(113,1)}
        53:{2,4,6}:{(37,1),(39,1),(43,1),(68,1),(69,1),(70,1)}
        54:{1,4,7}:{(38,1),(39,1),(69,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(94,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(68,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(50,1),(74,1),(82,1)}
        60:{1,5,6}:{(44,1),(46,1),(74,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(74,1)}
        62:{2,4,5,6}:{(46,1),(48,1),(53,1),(75,1),(77,1),(78,1),(102,1)}
        63:{1,3,5,6,7}:{(47,1),(76,1),(79,1),(103,1)}
        64:{1,4,5,7}:{(47,1),(48,1),(54,1),(77,1),(79,1),(119,1)}
        65:{1,2,6,7}:{(49,1),(50,1),(80,1),(118,1)}
        66:{1,2,5,6}:{(49,1),(51,1),(56,1),(80,1),(81,1),(102,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(74,1),(80,1),(82,1),(104,1)}
        68:{1,4,6}:{(51,1),(53,1),(57,1),(82,1)}
        69:{2,4,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        70:{3,4,6}:{(53,1),(58,1),(78,1),(84,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(81,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(83,1),(86,1),(87,1)}
        74:{1,5,7}:{(59,1),(60,1),(61,1)}
        75:{1,4,5,6}:{(60,1),(62,1),(68,1),(89,1),(90,1)}
        76:{2,5,6,7}:{(61,1),(63,1),(88,1),(91,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(69,1),(89,1),(91,1),(92,1),(111,1)}
        78:{3,5,6}:{(62,1),(70,1),(92,1)}
        79:{1,4,6,7}:{(63,1),(64,1),(91,1),(123,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(67,1),(93,1),(111,1)}
        81:{1,2,4,6}:{(66,1),(68,1),(72,1),(93,1),(94,1),(96,1)}
        82:{1,4,7}:{(67,1),(68,1),(69,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(73,1),(90,1),(94,1),(95,1),(96,1)}
        84:{3,4,7}:{(69,1),(70,1),(92,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(94,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{1,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(100,1),(101,1)}
        90:{1,3,5,6}:{(75,1),(78,1),(83,1),(101,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(79,1),(100,1),(103,1),(118,1)}
        92:{3,5,7}:{(77,1),(78,1),(84,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(82,1),(104,1),(106,1)}
        94:{1,3,6}:{(81,1),(86,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(82,1),(83,1),(84,1),(101,1),(104,1),(106,1)}
        96:{2,4,6}:{(83,1),(87,1),(102,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(105,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(91,1),(110,1)}
       101:{1,3,5,7}:{(89,1),(90,1),(92,1),(95,1),(110,1),(111,1)}
       102:{2,5,6}:{(90,1),(96,1),(111,1),(112,1)}
       103:{3,6,7}:{(91,1),(92,1)}
       104:{1,3,7}:{(93,1),(94,1),(113,1)}
       105:{2,3,6}:{(94,1),(96,1),(98,1),(113,1),(114,1)}
       106:{2,4,7}:{(95,1),(96,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(114,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(103,1),(118,1)}
       111:{2,5,7}:{(101,1),(102,1),(106,1),(118,1),(119,1)}
       112:{1,5,6}:{(102,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,3,6}:{(105,1),(107,1),(109,1),(120,1),(121,1)}
       115:{1,4,7}:{(106,1),(107,1),(119,1),(120,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(115,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(114,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

 816 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(24,1),(26,1),(64,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(19,1),(24,1),(32,1),(53,1),(61,1),(64,1),(101,1)}
         2:{1,3,6}:{(0,1),(9,1),(10,1),(11,1),(108,1)}
         3:{1,2,5}:{(0,1),(10,1),(14,1),(84,1),(143,1)}
         4:{1,2,4,7}:{(0,1),(11,1),(12,1),(15,1),(43,1),(177,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(41,1),(49,1)}
         6:{1,3,5}:{(1,1),(14,1),(16,1),(47,1),(84,1),(120,1)}
         7:{1,3,4,7}:{(1,1),(11,1),(15,1),(17,1),(36,1),(43,1),(74,1),(82,1),(178,1)}
         8:{1,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(32,1),(53,1),(70,1),(107,1)}
         9:{2,3,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(53,1),(90,1)}
        10:{1,3,5}:{(2,1),(3,1),(22,1),(24,1),(103,1),(129,1)}
        11:{1,3,7}:{(2,1),(4,1),(23,1),(125,1),(182,1)}
        12:{1,2,5,7}:{(3,1),(4,1),(25,1),(26,1),(30,1),(154,1),(171,1)}
        13:{1,4,6}:{(5,1),(21,1),(27,1),(28,1),(59,1),(67,1)}
        14:{2,5}:{(5,1),(6,1),(27,1)}
        15:{2,4,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(183,1)}
        16:{1,4,5}:{(6,1),(19,1),(24,1),(29,1),(103,1),(136,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(68,1),(170,1),(174,1)}
        18:{2,5,6}:{(8,1),(14,1),(33,1),(34,1),(35,1),(49,1)}
        19:{1,4,6}:{(8,1),(16,1),(34,1),(36,1),(108,1),(124,1)}
        20:{1,3,5,7}:{(8,1),(35,1),(36,1),(37,1),(74,1),(76,1),(112,1)}
        21:{1,3,6}:{(9,1),(13,1),(38,1),(39,1),(40,1)}
        22:{2,3,5}:{(9,1),(10,1),(14,1),(39,1),(41,1),(47,1),(85,1),(113,1)}
        23:{2,3,7}:{(9,1),(11,1),(15,1),(40,1),(74,1),(109,1),(185,1)}
        24:{1,4}:{(10,1),(41,1)}
        25:{1,3,5,7}:{(10,1),(11,1),(12,1),(42,1),(43,1),(44,1),(84,1),(121,1),(144,1),(165,1)}
        26:{1,2,6}:{(12,1),(44,1),(49,1)}
        27:{1,5}:{(13,1),(14,1)}
        28:{1,4,7}:{(13,1),(15,1),(40,1),(46,1),(186,1)}
        29:{2,4,5}:{(14,1),(16,1),(34,1),(41,1),(45,1),(47,1),(85,1)}
        30:{2,5,7}:{(14,1),(15,1),(17,1),(46,1),(49,1),(176,1),(179,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(36,1),(43,1),(48,1),(50,1),(76,1),(84,1),(121,1),(162,1),(167,1)}
        32:{1,3,6}:{(17,1),(49,1),(50,1),(88,1)}
        33:{1,5,6}:{(18,1),(27,1),(51,1),(52,1),(67,1)}
        34:{2,4,6}:{(18,1),(19,1),(29,1),(51,1),(53,1),(54,1),(90,1)}
        35:{2,5,7}:{(18,1),(20,1),(52,1),(54,1),(55,1)}
        36:{1,4,7}:{(19,1),(20,1),(54,1),(125,1),(128,1)}
        37:{1,3,6,7}:{(20,1),(32,1),(55,1),(56,1),(93,1),(170,1)}
        38:{1,2,6}:{(21,1),(57,1),(58,1),(90,1)}
        39:{1,3,5}:{(21,1),(22,1),(27,1),(57,1),(59,1),(95,1)}
        40:{1,3,7}:{(21,1),(23,1),(28,1),(58,1),(187,1)}
        41:{2,4}:{(22,1),(24,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(22,1),(23,1),(25,1),(30,1),(60,1),(62,1),(63,1),(68,1),(102,1),(104,1),(130,1),(156,1)}
        43:{1,4,7}:{(24,1),(25,1),(62,1),(64,1),(172,1)}
        44:{1,3,6}:{(25,1),(26,1),(63,1),(64,1),(137,1)}
        45:{1,4,5}:{(27,1),(29,1),(51,1),(59,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(30,1),(67,1),(181,1),(184,1)}
        47:{3,5}:{(29,1),(53,1),(61,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(31,1),(54,1),(62,1),(66,1),(68,1),(69,1),(94,1),(102,1),(104,1),(128,1),(136,1),(153,1),(159,1)}
        49:{2,6}:{(30,1),(32,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(70,1),(137,1)}
        51:{1,4,6}:{(33,1),(34,1),(45,1),(71,1),(72,1)}
        52:{1,5,7}:{(33,1),(35,1),(72,1),(73,1)}
        53:{3,6}:{(34,1),(47,1),(74,1)}
        54:{2,4,7}:{(34,1),(35,1),(36,1),(72,1),(74,1),(109,1)}
        55:{2,6,7}:{(35,1),(37,1),(49,1),(73,1),(176,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(50,1),(75,1),(76,1),(140,1),(162,1)}
        57:{1,2,5}:{(38,1),(39,1),(77,1),(85,1)}
        58:{1,2,7}:{(38,1),(40,1),(109,1),(188,1)}
        59:{1,4}:{(39,1),(41,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(46,1),(78,1),(80,1),(81,1),(114,1),(119,1),(146,1)}
        61:{3,4}:{(41,1),(47,1)}
        62:{2,4,7}:{(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(166,1)}
        63:{2,3,6}:{(42,1),(44,1),(49,1),(81,1),(83,1),(88,1),(122,1)}
        64:{1,4,6}:{(43,1),(44,1),(83,1),(84,1)}
        65:{1,3,5}:{(45,1),(47,1),(71,1),(79,1),(85,1)}
        66:{1,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(80,1),(86,1),(87,1),(111,1),(119,1),(142,1),(149,1)}
        67:{1,6}:{(46,1),(49,1)}
        68:{3,5,7}:{(47,1),(48,1),(74,1),(82,1),(88,1),(120,1),(163,1),(168,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(87,1),(88,1),(89,1),(122,1),(124,1)}
        70:{1,5,6}:{(50,1),(76,1),(84,1),(89,1)}
        71:{1,3,6}:{(51,1),(53,1),(65,1),(90,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(54,1),(91,1)}
        73:{1,6,7}:{(52,1),(55,1),(67,1),(181,1)}
        74:{3,7}:{(53,1),(54,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(56,1),(69,1),(92,1),(93,1),(94,1),(126,1),(128,1),(153,1)}
        76:{1,5,7}:{(56,1),(70,1),(94,1)}
        77:{1,2,4}:{(57,1),(59,1),(95,1),(98,1)}
        78:{1,2,5,7}:{(57,1),(58,1),(60,1),(96,1),(97,1),(104,1),(132,1)}
        79:{1,3,4}:{(59,1),(61,1),(65,1),(95,1),(98,1)}
        80:{1,4,7}:{(59,1),(60,1),(62,1),(100,1),(157,1)}
        81:{1,3,6}:{(60,1),(63,1),(67,1),(97,1),(100,1)}
        82:{3,4,7}:{(61,1),(62,1),(68,1),(101,1),(128,1),(173,1)}
        83:{2,4,6}:{(62,1),(63,1),(64,1),(100,1),(101,1),(102,1)}
        84:{1,5}:{(64,1),(102,1)}
        85:{2,5}:{(65,1),(90,1),(98,1),(103,1)}
        86:{1,3,5,7}:{(65,1),(66,1),(68,1),(91,1),(99,1),(104,1),(105,1),(135,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1),(105,1),(106,1)}
        88:{3,6}:{(68,1),(69,1)}
        89:{2,5,6}:{(69,1),(70,1),(94,1),(102,1),(106,1),(107,1)}
        90:{2,6}:{(71,1),(85,1),(108,1),(109,1)}
        91:{1,3,7}:{(71,1),(72,1),(74,1),(109,1)}
        92:{1,4,6,7}:{(72,1),(73,1),(75,1),(87,1),(110,1),(111,1),(142,1)}
        93:{3,6,7}:{(74,1),(75,1),(88,1),(112,1),(163,1)}
        94:{2,5,7}:{(75,1),(76,1),(89,1),(111,1),(112,1)}
        95:{1,3}:{(77,1),(113,1)}
        96:{1,2,4,7}:{(77,1),(78,1),(80,1),(114,1),(115,1),(117,1)}
        97:{1,2,6}:{(78,1),(81,1),(122,1)}
        98:{2,4}:{(79,1),(85,1),(113,1),(116,1)}
        99:{1,3,4,7}:{(79,1),(80,1),(82,1),(86,1),(114,1),(117,1),(118,1),(142,1),(163,1)}
       100:{1,4,6}:{(80,1),(81,1),(83,1),(119,1)}
       101:{3,4,6}:{(82,1),(83,1),(88,1),(120,1),(124,1)}
       102:{2,5}:{(83,1),(84,1),(119,1),(120,1)}
       103:{1,5}:{(85,1),(108,1),(116,1)}
       104:{2,5,7}:{(85,1),(86,1),(109,1),(117,1),(121,1),(122,1),(148,1)}
       105:{1,3,6}:{(86,1),(87,1),(88,1),(122,1)}
       106:{1,5,6}:{(87,1),(89,1),(111,1),(119,1)}
       107:{3,5,6}:{(88,1),(89,1),(112,1),(120,1),(124,1)}
       108:{1,6}:{(90,1),(103,1),(125,1)}
       109:{2,7}:{(90,1),(91,1),(125,1)}
       110:{1,3,6,7}:{(91,1),(92,1),(93,1),(105,1),(126,1),(127,1)}
       111:{1,5,7}:{(92,1),(94,1),(106,1)}
       112:{3,5,7}:{(93,1),(94,1),(107,1),(128,1)}
       113:{2,3}:{(95,1),(98,1),(129,1)}
       114:{1,3,7}:{(95,1),(96,1),(130,1),(131,1),(181,1)}
       115:{1,2,4,6}:{(96,1),(97,1),(100,1),(131,1),(132,1),(134,1),(157,1)}
       116:{1,4}:{(98,1),(103,1),(129,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(133,1),(134,1)}
       118:{1,3,4,6}:{(99,1),(100,1),(101,1),(105,1),(131,1),(134,1),(135,1),(139,1),(157,1),(161,1),(173,1)}
       119:{1,5}:{(100,1),(102,1)}
       120:{3,5}:{(101,1),(102,1),(136,1)}
       121:{1,5,7}:{(103,1),(104,1),(125,1),(133,1),(137,1),(158,1)}
       122:{2,6}:{(104,1),(105,1),(137,1)}
       123:{1,3,5,6}:{(105,1),(106,1),(107,1),(127,1),(135,1),(138,1),(139,1),(161,1)}
       124:{4,6}:{(107,1),(128,1),(136,1)}
       125:{1,7}:{(108,1),(109,1)}
       126:{2,6,7}:{(109,1),(110,1),(122,1),(140,1),(141,1)}
       127:{1,3,5,7}:{(110,1),(111,1),(112,1),(123,1),(141,1),(142,1),(163,1)}
       128:{4,7}:{(112,1),(124,1)}
       129:{1,3}:{(113,1),(116,1),(143,1)}
       130:{2,3,7}:{(113,1),(114,1),(117,1),(144,1),(145,1),(163,1),(176,1)}
       131:{1,3,6}:{(114,1),(115,1),(145,1),(146,1),(180,1)}
       132:{1,2,5}:{(115,1),(119,1),(146,1),(148,1),(188,1)}
       133:{1,4,7}:{(116,1),(117,1),(121,1),(144,1),(147,1)}
       134:{2,4,6}:{(117,1),(118,1),(122,1),(145,1),(147,1),(148,1),(166,1)}
       135:{1,3,5}:{(118,1),(119,1),(120,1),(148,1),(149,1),(168,1)}
       136:{4,5}:{(120,1),(124,1)}
       137:{1,6}:{(121,1),(122,1)}
       138:{2,5,6}:{(122,1),(123,1),(141,1),(148,1),(150,1),(151,1)}
       139:{1,4,6}:{(123,1),(124,1),(142,1),(149,1),(151,1),(180,1)}
       140:{1,6,7}:{(125,1),(126,1),(137,1),(152,1)}
       141:{2,5,7}:{(126,1),(127,1),(138,1),(152,1),(153,1)}
       142:{1,4,7}:{(127,1),(128,1),(139,1),(153,1),(181,1)}
       143:{1,2}:{(129,1)}
       144:{1,3,7}:{(129,1),(130,1),(133,1),(154,1),(155,1)}
       145:{2,3,6}:{(130,1),(131,1),(134,1),(155,1),(156,1),(161,1),(175,1)}
       146:{1,3,5}:{(131,1),(132,1),(156,1),(157,1),(184,1),(187,1)}
       147:{1,4,6}:{(133,1),(134,1),(137,1),(155,1),(158,1),(172,1)}
       148:{2,5}:{(134,1),(135,1),(158,1)}
       149:{1,4,5}:{(135,1),(136,1),(139,1),(157,1),(159,1),(184,1)}
       150:{1,5,6}:{(137,1),(138,1),(152,1),(158,1),(160,1)}
       151:{2,4,6}:{(138,1),(139,1),(153,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,5,7}:{(140,1),(141,1),(150,1),(162,1)}
       153:{2,4,7}:{(141,1),(142,1),(151,1),(162,1),(163,1),(176,1)}
       154:{1,2,7}:{(143,1),(144,1),(164,1),(176,1)}
       155:{1,3,6}:{(144,1),(145,1),(147,1),(164,1),(165,1)}
       156:{2,3,5}:{(145,1),(146,1),(148,1),(165,1),(166,1),(168,1),(179,1),(185,1)}
       157:{1,4}:{(146,1),(166,1)}
       158:{1,5}:{(147,1),(148,1)}
       159:{2,4,5}:{(148,1),(149,1),(151,1),(166,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(162,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(163,1),(168,1)}
       162:{1,4,7}:{(152,1),(153,1),(160,1),(170,1)}
       163:{3,7}:{(153,1),(161,1)}
       164:{1,2,6}:{(154,1),(155,1),(171,1),(175,1)}
       165:{1,3,5}:{(155,1),(156,1),(158,1),(171,1),(172,1),(182,1)}
       166:{2,4}:{(156,1),(157,1),(172,1),(173,1)}
       167:{1,4,5}:{(158,1),(159,1),(160,1),(172,1),(174,1)}
       168:{3,5}:{(159,1),(161,1),(173,1)}
       169:{1,3,6}:{(160,1),(161,1),(170,1),(174,1),(175,1)}
       170:{1,3,7}:{(162,1),(163,1),(169,1),(176,1)}
       171:{1,2,5}:{(164,1),(165,1),(177,1),(179,1)}
       172:{1,4}:{(165,1),(166,1)}
       173:{3,4}:{(166,1),(168,1)}
       174:{1,3,5}:{(167,1),(168,1),(169,1),(178,1),(179,1)}
       175:{2,6}:{(169,1),(176,1),(179,1),(180,1)}
       176:{2,7}:{(170,1),(175,1),(181,1)}
       177:{1,2,4}:{(171,1),(172,1),(182,1),(183,1)}
       178:{1,3,4}:{(172,1),(173,1),(174,1),(182,1),(183,1)}
       179:{2,5}:{(174,1),(175,1),(183,1),(184,1)}
       180:{1,6}:{(175,1),(181,1),(184,1)}
       181:{1,7}:{(176,1),(180,1)}
       182:{1,3}:{(177,1),(185,1)}
       183:{2,4}:{(178,1),(179,1),(185,1),(186,1)}
       184:{1,5}:{(179,1),(180,1),(186,1)}
       185:{2,3}:{(182,1),(183,1),(187,1)}
       186:{1,4}:{(183,1),(184,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

 817 :   0:{1,2,3,5}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(18,1),(165,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(10,1),(11,1),(24,1),(35,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(38,1),(151,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(34,1)}
         7:{2,3,4}:{(3,1),(15,1),(16,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(20,1),(54,1),(57,1),(134,1),(162,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(22,1),(40,1),(54,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(20,1),(23,1),(174,1)}
        13:{1,3,4,5}:{(8,1),(24,1),(25,1),(35,1),(74,1)}
        14:{1,2,3}:{(26,1)}
        15:{1,3,4}:{(7,1),(26,1),(28,1)}
        16:{2,3,5}:{(7,1),(8,1),(24,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(32,1),(72,1),(76,1),(113,1),(148,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1),(34,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(35,1)}
        20:{1,3,4,7}:{(9,1),(12,1),(32,1),(34,1),(36,1),(77,1),(172,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,4,7}:{(10,1),(34,1),(37,1),(61,1),(77,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(36,1),(38,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(18,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,4}:{(14,1),(15,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(44,1),(45,1),(46,1),(130,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(43,1),(47,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(44,1),(47,1),(48,1),(49,1),(90,1),(91,1),(95,1),(130,1)}
        30:{2,3,6}:{(16,1),(18,1),(40,1),(47,1),(51,1)}
        31:{2,3,5}:{(17,1),(19,1),(48,1),(52,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(49,1),(51,1),(53,1),(97,1),(163,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(50,1),(54,1),(55,1),(57,1),(102,1),(157,1),(162,1)}
        34:{1,3,7}:{(18,1),(22,1),(51,1)}
        35:{1,4,5}:{(19,1),(52,1),(54,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(53,1),(56,1),(57,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(55,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(23,1),(57,1)}
        39:{1,4,5}:{(24,1),(28,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(34,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,5}:{(26,1),(28,1),(64,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(29,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        45:{1,2,3,5}:{(27,1),(65,1),(67,1),(111,1)}
        46:{1,2,3,7}:{(27,1),(66,1),(149,1)}
        47:{1,3,6}:{(28,1),(30,1),(59,1),(64,1),(69,1)}
        48:{1,3,5}:{(29,1),(31,1),(65,1),(70,1)}
        49:{1,3,4,7}:{(29,1),(32,1),(66,1),(69,1),(71,1),(115,1),(149,1)}
        50:{2,3,5,6}:{(30,1),(31,1),(33,1),(60,1),(68,1),(72,1),(73,1),(76,1),(105,1),(122,1),(143,1),(148,1)}
        51:{2,3,7}:{(30,1),(34,1),(61,1),(69,1)}
        52:{2,4,5}:{(31,1),(35,1),(70,1),(72,1),(74,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(36,1),(71,1),(75,1),(76,1)}
        54:{1,4,6}:{(33,1),(35,1),(72,1),(77,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(37,1),(73,1),(77,1),(78,1),(123,1),(168,1),(172,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(75,1),(77,1),(79,1),(123,1)}
        57:{1,3,6}:{(36,1),(38,1),(76,1),(79,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(78,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(47,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(51,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(157,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,6}:{(43,1),(47,1),(87,1)}
        65:{1,2,5}:{(44,1),(48,1)}
        66:{1,2,4,7}:{(44,1),(46,1),(49,1),(87,1),(89,1)}
        67:{1,2,4}:{(45,1),(90,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(80,1),(86,1),(91,1),(92,1),(95,1),(130,1),(139,1)}
        69:{1,3,7}:{(47,1),(51,1),(81,1),(87,1)}
        70:{1,4,5}:{(48,1),(52,1),(91,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(53,1),(89,1),(94,1),(95,1)}
        72:{2,4,6}:{(50,1),(52,1),(54,1),(91,1),(96,1),(97,1)}
        73:{2,3,5,7}:{(50,1),(51,1),(55,1),(83,1),(92,1),(97,1),(98,1),(127,1),(141,1),(158,1),(163,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(56,1),(94,1),(97,1),(99,1),(100,1),(141,1)}
        76:{2,3,6}:{(53,1),(57,1),(95,1),(100,1)}
        77:{1,4,7}:{(54,1),(55,1),(97,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(58,1),(98,1),(101,1),(173,1)}
        79:{1,4,6}:{(56,1),(57,1),(100,1),(102,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(69,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(72,1),(103,1),(105,1),(106,1),(122,1),(143,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(146,1)}
        86:{1,2,5,6}:{(64,1),(65,1),(68,1),(109,1),(110,1),(112,1),(143,1)}
        87:{1,2,7}:{(64,1),(69,1)}
        88:{1,2,4,5}:{(65,1),(67,1),(70,1),(109,1),(111,1),(117,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(71,1),(112,1)}
        90:{1,3,4}:{(67,1),(111,1),(113,1)}
        91:{1,4,6}:{(68,1),(70,1),(72,1),(115,1)}
        92:{1,3,5,7}:{(68,1),(69,1),(73,1),(104,1),(110,1),(115,1),(116,1),(149,1),(154,1)}
        93:{1,3,4,5}:{(70,1),(74,1),(111,1),(114,1),(117,1)}
        94:{1,4,5,7}:{(70,1),(71,1),(75,1),(115,1),(118,1),(154,1)}
        95:{1,3,6}:{(71,1),(76,1),(112,1),(118,1)}
        96:{3,4,6}:{(72,1),(74,1),(105,1),(119,1)}
        97:{2,4,7}:{(72,1),(73,1),(77,1),(115,1),(119,1)}
        98:{2,3,6,7}:{(73,1),(76,1),(78,1),(107,1),(116,1),(120,1),(146,1),(169,1)}
        99:{3,4,5,7}:{(74,1),(75,1),(119,1),(121,1),(155,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(118,1),(121,1),(122,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(120,1),(123,1)}
       102:{1,5,6}:{(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(91,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(97,1),(125,1),(127,1),(128,1),(141,1),(158,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{1,2,4,6}:{(86,1),(88,1),(91,1),(130,1),(131,1),(135,1)}
       110:{1,2,5,7}:{(86,1),(87,1),(92,1),(131,1),(132,1),(158,1)}
       111:{1,3,5}:{(88,1),(90,1),(130,1),(133,1)}
       112:{1,2,6}:{(89,1),(95,1)}
       113:{2,3,4}:{(90,1),(133,1),(134,1)}
       114:{1,3,4,6}:{(91,1),(93,1),(96,1),(124,1),(130,1),(135,1),(136,1)}
       115:{1,4,7}:{(91,1),(92,1),(97,1)}
       116:{1,3,6,7}:{(92,1),(95,1),(98,1),(126,1),(132,1),(137,1)}
       117:{2,4,5}:{(93,1),(133,1),(135,1),(138,1)}
       118:{1,4,6}:{(94,1),(95,1),(100,1),(139,1)}
       119:{3,4,7}:{(96,1),(97,1),(127,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(100,1),(101,1),(137,1),(140,1),(141,1)}
       121:{3,4,6}:{(99,1),(100,1),(142,1)}
       122:{2,5,6}:{(100,1),(102,1),(139,1),(141,1),(142,1)}
       123:{1,5,7}:{(101,1),(102,1),(141,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(114,1),(143,1),(144,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(115,1),(144,1),(145,1),(154,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(146,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(145,1),(146,1),(147,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(147,1)}
       130:{1,3,6}:{(109,1),(111,1),(148,1),(149,1)}
       131:{1,2,4,7}:{(109,1),(110,1),(115,1),(149,1),(153,1)}
       132:{1,2,6,7}:{(110,1),(112,1),(116,1),(169,1)}
       133:{2,3,5}:{(111,1),(113,1),(117,1),(148,1),(150,1)}
       134:{1,3,4}:{(113,1),(150,1),(151,1)}
       135:{2,4,6}:{(114,1),(117,1),(143,1),(148,1),(152,1),(153,1)}
       136:{1,3,4,7}:{(114,1),(115,1),(119,1),(144,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(118,1),(120,1),(154,1)}
       138:{1,4,5}:{(117,1),(150,1),(152,1)}
       139:{1,5,6}:{(118,1),(122,1),(154,1)}
       140:{3,4,6,7}:{(119,1),(120,1),(121,1),(146,1),(155,1),(170,1)}
       141:{2,5,7}:{(120,1),(122,1),(123,1),(154,1),(155,1)}
       142:{3,5,6}:{(121,1),(122,1),(155,1),(156,1)}
       143:{2,5,6}:{(124,1),(135,1),(157,1),(158,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(136,1),(158,1),(159,1)}
       145:{1,4,6,7}:{(125,1),(126,1),(128,1),(159,1),(160,1)}
       146:{3,6,7}:{(127,1),(128,1)}
       147:{2,5,6,7}:{(128,1),(129,1),(141,1),(160,1),(161,1)}
       148:{2,3,6}:{(130,1),(133,1),(135,1),(162,1),(163,1)}
       149:{1,3,7}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(133,1),(134,1),(138,1),(162,1),(164,1)}
       151:{1,2,4}:{(134,1),(164,1),(165,1)}
       152:{1,4,6}:{(135,1),(138,1),(157,1),(162,1),(166,1)}
       153:{2,4,7}:{(135,1),(136,1),(158,1),(163,1),(166,1)}
       154:{1,5,7}:{(137,1),(139,1),(141,1)}
       155:{3,5,7}:{(140,1),(141,1),(142,1),(167,1)}
       156:{4,5,6}:{(142,1),(167,1)}
       157:{1,5,6}:{(143,1),(152,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(153,1),(168,1),(169,1)}
       159:{1,3,6,7}:{(144,1),(145,1),(146,1),(169,1)}
       160:{1,5,6,7}:{(145,1),(147,1),(154,1)}
       161:{3,5,6,7}:{(146,1),(147,1),(155,1),(170,1)}
       162:{1,3,6}:{(148,1),(150,1),(152,1),(171,1),(172,1)}
       163:{2,3,7}:{(148,1),(149,1),(153,1),(172,1)}
       164:{1,2,5}:{(150,1),(151,1),(171,1)}
       165:{1,2,3}:{(151,1)}
       166:{1,4,7}:{(152,1),(153,1),(168,1),(172,1)}
       167:{4,5,7}:{(155,1),(156,1),(170,1)}
       168:{1,5,7}:{(157,1),(158,1),(166,1),(173,1)}
       169:{2,6,7}:{(158,1),(159,1),(173,1)}
       170:{4,6,7}:{(161,1),(167,1)}
       171:{1,2,6}:{(162,1),(164,1),(174,1)}
       172:{1,3,7}:{(162,1),(163,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

 818 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(40,1),(159,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(25,1),(143,1),(168,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(24,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(63,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(14,1),(35,1),(39,1),(40,1),(121,1),(156,1)}
         5:{1,2,5}:{(1,1),(9,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(10,1),(13,1),(173,1)}
         7:{1,2,4}:{(2,1),(14,1)}
         8:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(26,1),(51,1),(55,1),(62,1),(96,1),(140,1)}
         9:{1,3,5}:{(4,1),(5,1),(17,1),(20,1)}
        10:{1,3,4,7}:{(4,1),(6,1),(18,1),(21,1),(58,1),(63,1),(169,1)}
        11:{1,2,5,6}:{(5,1),(19,1),(22,1),(23,1),(25,1),(109,1),(168,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(22,1),(24,1),(60,1)}
        13:{1,2,5,7}:{(5,1),(6,1),(21,1),(25,1)}
        14:{1,3,4}:{(7,1),(24,1),(26,1)}
        15:{1,2,3,6}:{(27,1),(28,1),(29,1),(91,1),(117,1)}
        16:{1,3,4,6}:{(8,1),(27,1),(30,1),(31,1),(44,1),(69,1),(70,1),(74,1),(88,1),(117,1)}
        17:{2,3,5}:{(8,1),(9,1),(30,1),(33,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(34,1),(77,1),(89,1),(157,1)}
        19:{1,3,5,6}:{(9,1),(11,1),(32,1),(35,1),(36,1),(39,1),(40,1),(87,1),(156,1),(160,1)}
        20:{1,4,5}:{(9,1),(33,1),(35,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(13,1),(34,1),(38,1),(39,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(40,1),(41,1),(83,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(41,1),(42,1),(135,1),(173,1)}
        24:{1,3,5}:{(12,1),(14,1),(40,1),(43,1)}
        25:{1,2,6}:{(13,1),(39,1)}
        26:{2,3,4}:{(14,1),(43,1),(44,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(45,1),(46,1),(47,1),(65,1),(95,1),(115,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(47,1),(94,1)}
        29:{1,2,3,7}:{(15,1),(46,1),(141,1)}
        30:{1,3,5}:{(16,1),(17,1),(45,1),(49,1)}
        31:{1,3,4,7}:{(16,1),(18,1),(46,1),(50,1),(99,1),(116,1),(141,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(48,1),(51,1),(52,1),(55,1),(62,1),(103,1),(108,1),(109,1),(140,1),(144,1)}
        33:{2,4,5}:{(17,1),(20,1),(49,1),(51,1),(53,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(21,1),(50,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(20,1),(51,1),(58,1)}
        36:{1,3,5,7}:{(19,1),(23,1),(52,1),(58,1),(59,1),(63,1),(114,1),(169,1),(170,1)}
        37:{1,3,4,5}:{(20,1),(24,1),(53,1),(57,1),(60,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(54,1),(58,1),(61,1),(114,1)}
        39:{1,3,6}:{(21,1),(25,1),(55,1),(61,1)}
        40:{1,3,6}:{(22,1),(24,1),(62,1),(63,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(58,1),(63,1),(113,1)}
        42:{1,2,6,7}:{(23,1),(25,1),(59,1),(155,1)}
        43:{2,3,5}:{(24,1),(26,1),(60,1),(62,1),(64,1)}
        44:{1,3,4}:{(26,1),(64,1),(65,1)}
        45:{1,2,5}:{(27,1),(30,1)}
        46:{1,2,4,7}:{(27,1),(29,1),(31,1),(68,1),(139,1)}
        47:{1,2,4}:{(28,1),(69,1)}
        48:{1,3,5,6}:{(30,1),(32,1),(66,1),(70,1),(71,1),(74,1),(88,1),(117,1),(128,1),(134,1)}
        49:{1,4,5}:{(30,1),(33,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(34,1),(68,1),(73,1),(74,1)}
        51:{2,4,6}:{(32,1),(33,1),(35,1),(70,1),(76,1),(77,1)}
        52:{2,3,5,7}:{(32,1),(36,1),(71,1),(77,1),(78,1),(89,1),(129,1),(132,1),(135,1),(157,1),(161,1)}
        53:{3,4,5}:{(33,1),(76,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(38,1),(73,1),(77,1),(79,1),(80,1),(132,1)}
        55:{2,3,6}:{(34,1),(39,1),(74,1),(80,1)}
        56:{1,4,5,6}:{(35,1),(75,1),(81,1),(82,1),(87,1),(160,1)}
        57:{1,3,4,6}:{(35,1),(37,1),(40,1),(76,1),(81,1),(83,1),(84,1)}
        58:{1,4,7}:{(35,1),(36,1),(77,1)}
        59:{1,3,6,7}:{(36,1),(39,1),(42,1),(78,1),(85,1),(174,1)}
        60:{2,4,5}:{(37,1),(43,1),(83,1),(86,1)}
        61:{1,4,6}:{(38,1),(39,1),(80,1),(87,1)}
        62:{2,3,6}:{(40,1),(43,1),(83,1),(88,1),(89,1)}
        63:{1,3,7}:{(40,1),(41,1),(89,1)}
        64:{1,3,5}:{(43,1),(44,1),(86,1),(88,1),(90,1)}
        65:{1,2,4}:{(44,1),(90,1),(91,1)}
        66:{1,2,5,6}:{(45,1),(48,1),(92,1),(93,1),(95,1),(115,1),(144,1)}
        67:{1,2,4,5}:{(45,1),(47,1),(49,1),(92,1),(94,1),(101,1)}
        68:{1,2,5,7}:{(45,1),(46,1),(50,1),(95,1)}
        69:{1,3,4}:{(47,1),(94,1),(96,1)}
        70:{1,4,6}:{(48,1),(49,1),(51,1),(99,1)}
        71:{1,3,5,7}:{(48,1),(52,1),(93,1),(99,1),(100,1),(116,1),(141,1),(149,1),(154,1)}
        72:{1,3,4,5}:{(49,1),(53,1),(94,1),(98,1),(101,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(54,1),(99,1),(102,1),(149,1)}
        74:{1,3,6}:{(50,1),(55,1),(95,1),(102,1)}
        75:{2,4,5,6}:{(51,1),(56,1),(97,1),(103,1),(104,1),(108,1),(109,1),(144,1),(153,1)}
        76:{3,4,6}:{(51,1),(53,1),(103,1),(105,1)}
        77:{2,4,7}:{(51,1),(52,1),(58,1),(99,1),(105,1)}
        78:{2,3,6,7}:{(52,1),(55,1),(59,1),(100,1),(106,1),(150,1),(155,1),(171,1)}
        79:{3,4,5,7}:{(53,1),(54,1),(105,1),(107,1),(152,1)}
        80:{2,4,6}:{(54,1),(55,1),(61,1),(102,1),(107,1),(108,1)}
        81:{1,3,5,6}:{(56,1),(57,1),(103,1),(109,1),(110,1)}
        82:{1,4,5,7}:{(56,1),(58,1),(104,1),(110,1),(111,1),(114,1),(170,1)}
        83:{2,4,6}:{(57,1),(60,1),(62,1),(109,1),(112,1),(113,1)}
        84:{1,3,4,7}:{(57,1),(58,1),(63,1),(105,1),(110,1),(113,1)}
        85:{1,4,6,7}:{(58,1),(59,1),(61,1),(106,1),(114,1)}
        86:{1,4,5}:{(60,1),(64,1),(112,1)}
        87:{1,5,6}:{(61,1),(108,1),(114,1)}
        88:{1,3,6}:{(62,1),(64,1),(112,1),(115,1),(116,1)}
        89:{2,3,7}:{(62,1),(63,1),(113,1),(116,1)}
        90:{1,2,5}:{(64,1),(65,1),(115,1)}
        91:{1,2,3}:{(65,1)}
        92:{1,2,4,6}:{(66,1),(67,1),(70,1),(117,1),(118,1),(124,1)}
        93:{1,2,5,7}:{(66,1),(71,1),(118,1),(119,1),(139,1),(161,1)}
        94:{1,3,5}:{(67,1),(69,1),(117,1),(120,1)}
        95:{1,2,6}:{(68,1),(74,1)}
        96:{2,3,4}:{(69,1),(120,1),(121,1)}
        97:{1,4,5,6}:{(70,1),(75,1),(122,1),(123,1),(128,1),(134,1)}
        98:{1,3,4,6}:{(70,1),(72,1),(76,1),(117,1),(122,1),(124,1),(125,1)}
        99:{1,4,7}:{(70,1),(71,1),(77,1)}
       100:{1,3,6,7}:{(71,1),(74,1),(78,1),(119,1),(126,1),(167,1)}
       101:{2,4,5}:{(72,1),(120,1),(124,1),(127,1)}
       102:{1,4,6}:{(73,1),(74,1),(80,1),(128,1)}
       103:{3,5,6}:{(75,1),(76,1),(129,1)}
       104:{2,4,5,7}:{(75,1),(77,1),(82,1),(123,1),(129,1),(130,1),(132,1),(135,1),(161,1),(166,1)}
       105:{3,4,7}:{(76,1),(77,1),(129,1)}
       106:{2,4,6,7}:{(77,1),(78,1),(80,1),(85,1),(126,1),(131,1),(132,1)}
       107:{3,4,6}:{(79,1),(80,1),(133,1)}
       108:{2,5,6}:{(80,1),(87,1),(128,1),(132,1),(133,1)}
       109:{2,5,6}:{(81,1),(83,1),(134,1),(135,1)}
       110:{1,3,5,7}:{(81,1),(82,1),(84,1),(129,1),(135,1),(136,1)}
       111:{1,4,6,7}:{(82,1),(130,1),(136,1),(137,1),(174,1)}
       112:{1,4,6}:{(83,1),(86,1),(88,1),(134,1),(138,1)}
       113:{2,4,7}:{(83,1),(84,1),(89,1),(135,1),(138,1)}
       114:{1,5,7}:{(85,1),(87,1),(132,1)}
       115:{1,2,6}:{(88,1),(90,1),(139,1)}
       116:{1,3,7}:{(88,1),(89,1),(138,1),(139,1)}
       117:{1,3,6}:{(92,1),(94,1),(140,1),(141,1)}
       118:{1,2,4,7}:{(92,1),(93,1),(99,1),(141,1),(148,1)}
       119:{1,2,6,7}:{(93,1),(95,1),(100,1),(171,1)}
       120:{2,3,5}:{(94,1),(96,1),(101,1),(140,1),(142,1)}
       121:{1,3,4}:{(96,1),(142,1),(143,1)}
       122:{1,3,5,6}:{(97,1),(98,1),(103,1),(144,1),(145,1)}
       123:{1,4,5,7}:{(97,1),(99,1),(104,1),(145,1),(146,1),(149,1),(154,1)}
       124:{2,4,6}:{(98,1),(101,1),(140,1),(144,1),(147,1),(148,1)}
       125:{1,3,4,7}:{(98,1),(99,1),(105,1),(141,1),(145,1),(148,1)}
       126:{1,4,6,7}:{(99,1),(100,1),(102,1),(106,1),(149,1)}
       127:{1,4,5}:{(101,1),(142,1),(147,1)}
       128:{1,5,6}:{(102,1),(108,1),(149,1)}
       129:{3,5,7}:{(103,1),(104,1),(105,1),(150,1)}
       130:{2,4,6,7}:{(104,1),(111,1),(146,1),(150,1),(151,1),(155,1),(171,1),(172,1)}
       131:{3,4,6,7}:{(105,1),(106,1),(107,1),(150,1),(152,1),(172,1)}
       132:{2,5,7}:{(106,1),(108,1),(114,1),(149,1),(152,1)}
       133:{3,5,6}:{(107,1),(108,1),(152,1),(153,1)}
       134:{1,5,6}:{(109,1),(112,1),(154,1)}
       135:{2,5,7}:{(109,1),(110,1),(113,1),(154,1),(155,1)}
       136:{1,3,6,7}:{(110,1),(111,1),(150,1),(155,1)}
       137:{1,5,6,7}:{(111,1),(114,1),(151,1)}
       138:{1,4,7}:{(112,1),(113,1),(116,1),(154,1)}
       139:{1,2,7}:{(115,1),(116,1)}
       140:{2,3,6}:{(117,1),(120,1),(124,1),(156,1),(157,1)}
       141:{1,3,7}:{(117,1),(118,1),(157,1)}
       142:{1,3,5}:{(120,1),(121,1),(127,1),(156,1),(158,1)}
       143:{1,2,4}:{(121,1),(158,1),(159,1)}
       144:{2,5,6}:{(122,1),(124,1),(160,1),(161,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(125,1),(129,1),(161,1),(162,1)}
       146:{1,4,6,7}:{(123,1),(130,1),(162,1),(163,1),(167,1)}
       147:{1,4,6}:{(124,1),(127,1),(156,1),(160,1),(164,1)}
       148:{2,4,7}:{(124,1),(125,1),(157,1),(161,1),(164,1)}
       149:{1,5,7}:{(126,1),(128,1),(132,1)}
       150:{3,6,7}:{(129,1),(130,1)}
       151:{2,5,6,7}:{(130,1),(132,1),(137,1),(163,1),(165,1)}
       152:{3,5,7}:{(131,1),(132,1),(133,1),(166,1)}
       153:{4,5,6}:{(133,1),(166,1)}
       154:{1,5,7}:{(134,1),(135,1),(138,1),(167,1)}
       155:{2,6,7}:{(135,1),(136,1),(167,1)}
       156:{1,3,6}:{(140,1),(142,1),(147,1),(168,1),(169,1)}
       157:{2,3,7}:{(140,1),(141,1),(148,1),(169,1)}
       158:{1,2,5}:{(142,1),(143,1),(168,1)}
       159:{1,2,3}:{(143,1)}
       160:{1,5,6}:{(144,1),(147,1),(170,1)}
       161:{2,5,7}:{(144,1),(145,1),(148,1),(170,1),(171,1)}
       162:{1,3,6,7}:{(145,1),(146,1),(150,1),(171,1)}
       163:{1,5,6,7}:{(146,1),(149,1),(151,1)}
       164:{1,4,7}:{(147,1),(148,1),(169,1),(170,1)}
       165:{3,5,6,7}:{(150,1),(151,1),(152,1),(172,1)}
       166:{4,5,7}:{(152,1),(153,1),(172,1)}
       167:{1,6,7}:{(154,1),(155,1)}
       168:{1,2,6}:{(156,1),(158,1),(173,1)}
       169:{1,3,7}:{(156,1),(157,1),(164,1),(173,1)}
       170:{1,5,7}:{(160,1),(161,1),(164,1),(174,1)}
       171:{2,6,7}:{(161,1),(162,1),(174,1)}
       172:{4,6,7}:{(165,1),(166,1)}
       173:{1,2,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(170,1),(171,1)}

 819 :   0:{1,2,3,7}:{(1,1),(2,1),(77,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1),(173,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(56,1),(163,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(74,1),(77,1),(169,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(150,1),(170,1)}
         6:{1,2,3,5}:{(2,1),(11,1),(12,1),(37,1)}
         7:{2,3,4,7}:{(3,1),(14,1),(15,1),(16,1),(94,1),(102,1),(160,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(17,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(23,1),(53,1),(56,1),(131,1),(161,1)}
        10:{1,2,6}:{(4,1),(18,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4}:{(6,1),(23,1)}
        13:{1,2,3,7}:{(24,1),(25,1),(147,1)}
        14:{1,3,4,7}:{(7,1),(24,1),(26,1),(27,1),(112,1),(126,1),(147,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        16:{2,3,4,6}:{(7,1),(9,1),(27,1),(29,1),(30,1),(38,1),(70,1),(78,1),(109,1),(148,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(31,1),(34,1),(72,1),(74,1)}
        18:{1,3,6}:{(8,1),(10,1),(29,1),(31,1)}
        19:{1,3,5}:{(9,1),(11,1),(30,1),(34,1)}
        20:{1,2,6,7}:{(10,1),(32,1),(35,1),(158,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(36,1),(123,1),(170,1)}
        22:{1,2,4,5}:{(11,1),(12,1),(34,1),(36,1),(37,1),(76,1)}
        23:{1,3,4}:{(12,1),(37,1),(38,1)}
        24:{1,2,4,7}:{(13,1),(14,1),(39,1),(40,1),(146,1)}
        25:{1,2,3,6}:{(13,1),(40,1),(41,1),(105,1),(129,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(44,1)}
        27:{1,3,4,6}:{(14,1),(16,1),(40,1),(43,1),(44,1),(58,1),(84,1),(88,1),(103,1),(129,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(42,1),(45,1),(46,1),(49,1),(92,1),(94,1)}
        29:{2,3,6}:{(15,1),(18,1),(43,1),(46,1)}
        30:{2,3,5}:{(16,1),(19,1),(44,1),(49,1)}
        31:{1,4,6}:{(17,1),(18,1),(46,1),(51,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(52,1),(174,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(51,1),(52,1),(53,1),(56,1),(161,1),(166,1)}
        34:{1,4,5}:{(19,1),(49,1),(53,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(52,1),(55,1),(143,1),(173,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(53,1),(55,1),(56,1),(100,1)}
        37:{1,3,5}:{(22,1),(23,1),(56,1),(57,1)}
        38:{2,3,4}:{(23,1),(57,1),(58,1)}
        39:{1,2,5,7}:{(24,1),(26,1),(59,1),(60,1)}
        40:{1,2,4,6}:{(24,1),(25,1),(27,1),(59,1),(60,1),(61,1),(80,1),(127,1)}
        41:{1,2,3,5}:{(25,1),(60,1),(61,1),(108,1)}
        42:{1,4,5,7}:{(26,1),(28,1),(62,1),(65,1),(110,1),(112,1)}
        43:{1,3,6}:{(26,1),(29,1),(59,1),(62,1)}
        44:{1,3,5}:{(27,1),(30,1),(60,1),(65,1)}
        45:{3,4,5,7}:{(28,1),(66,1),(71,1),(115,1),(120,1)}
        46:{2,4,6}:{(28,1),(29,1),(31,1),(62,1),(66,1),(68,1)}
        47:{2,3,6,7}:{(29,1),(32,1),(63,1),(67,1),(69,1),(157,1),(158,1),(171,1)}
        48:{2,3,5,6}:{(29,1),(30,1),(33,1),(64,1),(68,1),(69,1),(70,1),(78,1),(119,1),(123,1),(148,1),(153,1)}
        49:{2,4,5}:{(30,1),(34,1),(65,1),(70,1),(71,1)}
        50:{1,4,6,7}:{(31,1),(32,1),(67,1),(72,1),(74,1)}
        51:{1,5,6}:{(31,1),(68,1),(72,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(35,1),(69,1),(72,1),(74,1),(77,1),(169,1),(172,1)}
        53:{1,4,6}:{(33,1),(34,1),(70,1),(74,1)}
        54:{1,3,4,5}:{(34,1),(37,1),(71,1),(75,1),(76,1)}
        55:{1,2,4,7}:{(35,1),(36,1),(74,1),(77,1),(124,1)}
        56:{1,3,6}:{(36,1),(37,1),(77,1),(78,1)}
        57:{2,3,5}:{(37,1),(38,1),(76,1),(78,1),(79,1)}
        58:{1,3,4}:{(38,1),(79,1),(80,1)}
        59:{1,2,6}:{(39,1),(43,1)}
        60:{1,2,5}:{(40,1),(44,1)}
        61:{1,2,4}:{(41,1),(84,1)}
        62:{1,4,6}:{(42,1),(43,1),(46,1),(86,1)}
        63:{1,3,6,7}:{(43,1),(47,1),(81,1),(85,1),(87,1),(168,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(48,1),(82,1),(86,1),(87,1),(88,1),(103,1),(129,1),(144,1)}
        65:{1,4,5}:{(44,1),(49,1),(88,1)}
        66:{3,4,6}:{(45,1),(46,1),(91,1)}
        67:{2,4,6,7}:{(46,1),(47,1),(50,1),(85,1),(90,1),(92,1),(94,1)}
        68:{2,5,6}:{(46,1),(51,1),(86,1),(91,1),(92,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(52,1),(87,1),(92,1),(94,1),(102,1),(141,1),(143,1),(160,1),(165,1)}
        70:{2,4,6}:{(48,1),(49,1),(53,1),(88,1),(94,1),(95,1)}
        71:{3,4,5}:{(49,1),(95,1)}
        72:{1,5,7}:{(50,1),(51,1),(92,1)}
        73:{1,4,5,6}:{(51,1),(53,1),(93,1),(97,1),(98,1),(166,1)}
        74:{1,4,7}:{(52,1),(53,1),(94,1)}
        75:{1,3,4,6}:{(53,1),(54,1),(56,1),(95,1),(98,1),(99,1),(100,1)}
        76:{2,4,5}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,7}:{(55,1),(56,1),(102,1)}
        78:{2,3,6}:{(56,1),(57,1),(100,1),(102,1),(103,1)}
        79:{1,3,5}:{(57,1),(58,1),(101,1),(103,1),(104,1)}
        80:{1,2,4}:{(58,1),(104,1),(105,1)}
        81:{1,2,6,7}:{(59,1),(63,1),(106,1),(171,1)}
        82:{1,2,5,6}:{(59,1),(60,1),(64,1),(106,1),(107,1),(127,1),(153,1)}
        83:{1,2,4,5}:{(60,1),(61,1),(65,1),(107,1),(108,1),(114,1)}
        84:{1,3,4}:{(61,1),(108,1),(109,1)}
        85:{1,4,6,7}:{(62,1),(63,1),(67,1),(110,1),(112,1)}
        86:{1,5,6}:{(62,1),(68,1),(110,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(69,1),(106,1),(110,1),(112,1),(126,1),(147,1),(159,1)}
        88:{1,4,6}:{(64,1),(65,1),(70,1),(112,1)}
        89:{1,3,4,5}:{(65,1),(71,1),(108,1),(113,1),(114,1)}
        90:{3,4,6,7}:{(66,1),(67,1),(115,1),(120,1),(156,1),(157,1)}
        91:{3,5,6}:{(66,1),(68,1),(115,1),(116,1)}
        92:{2,5,7}:{(67,1),(68,1),(72,1),(110,1),(115,1)}
        93:{2,4,5,6}:{(68,1),(70,1),(73,1),(111,1),(116,1),(118,1),(119,1),(123,1),(153,1)}
        94:{2,4,7}:{(69,1),(70,1),(74,1),(112,1),(120,1)}
        95:{3,4,6}:{(70,1),(71,1),(119,1),(120,1)}
        96:{1,5,6,7}:{(72,1),(117,1),(121,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(74,1),(118,1),(121,1),(122,1),(172,1)}
        98:{1,3,5,6}:{(73,1),(75,1),(119,1),(122,1),(123,1)}
        99:{1,3,4,7}:{(74,1),(75,1),(77,1),(120,1),(122,1),(124,1)}
       100:{2,4,6}:{(75,1),(76,1),(78,1),(123,1),(124,1),(125,1)}
       101:{1,4,5}:{(76,1),(79,1),(125,1)}
       102:{2,3,7}:{(77,1),(78,1),(124,1),(126,1)}
       103:{1,3,6}:{(78,1),(79,1),(125,1),(126,1),(127,1)}
       104:{1,2,5}:{(79,1),(80,1),(127,1)}
       105:{1,2,3}:{(80,1)}
       106:{1,2,5,7}:{(81,1),(82,1),(87,1),(128,1),(146,1),(165,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(88,1),(128,1),(129,1),(136,1)}
       108:{1,3,5}:{(83,1),(84,1),(129,1),(130,1)}
       109:{2,3,4}:{(84,1),(130,1),(131,1)}
       110:{1,5,7}:{(85,1),(86,1),(92,1)}
       111:{1,4,5,6}:{(86,1),(88,1),(93,1),(133,1),(134,1),(144,1)}
       112:{1,4,7}:{(87,1),(88,1),(94,1)}
       113:{1,3,4,6}:{(88,1),(89,1),(95,1),(129,1),(134,1),(135,1),(136,1)}
       114:{2,4,5}:{(89,1),(130,1),(136,1),(137,1)}
       115:{3,5,7}:{(90,1),(91,1),(92,1),(139,1)}
       116:{4,5,6}:{(91,1),(139,1)}
       117:{2,5,6,7}:{(92,1),(96,1),(132,1),(138,1),(140,1)}
       118:{2,4,5,7}:{(92,1),(93,1),(94,1),(97,1),(133,1),(139,1),(140,1),(141,1),(143,1),(165,1)}
       119:{3,5,6}:{(93,1),(95,1),(141,1)}
       120:{3,4,7}:{(94,1),(95,1),(141,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(140,1),(142,1),(174,1)}
       122:{1,3,5,7}:{(97,1),(98,1),(99,1),(141,1),(142,1),(143,1)}
       123:{2,5,6}:{(98,1),(100,1),(143,1),(144,1)}
       124:{2,4,7}:{(99,1),(100,1),(102,1),(143,1),(145,1)}
       125:{1,4,6}:{(100,1),(101,1),(103,1),(144,1),(145,1)}
       126:{1,3,7}:{(102,1),(103,1),(145,1),(146,1)}
       127:{1,2,6}:{(103,1),(104,1),(146,1)}
       128:{1,2,4,7}:{(106,1),(107,1),(112,1),(147,1),(154,1)}
       129:{1,3,6}:{(107,1),(108,1),(147,1),(148,1)}
       130:{2,3,5}:{(108,1),(109,1),(114,1),(148,1),(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{1,5,6,7}:{(110,1),(117,1),(151,1)}
       133:{1,4,5,7}:{(110,1),(111,1),(112,1),(118,1),(151,1),(152,1),(159,1)}
       134:{1,3,5,6}:{(111,1),(113,1),(119,1),(152,1),(153,1)}
       135:{1,3,4,7}:{(112,1),(113,1),(120,1),(147,1),(152,1),(154,1)}
       136:{2,4,6}:{(113,1),(114,1),(148,1),(153,1),(154,1),(155,1)}
       137:{1,4,5}:{(114,1),(149,1),(155,1)}
       138:{3,5,6,7}:{(115,1),(117,1),(156,1),(157,1)}
       139:{4,5,7}:{(115,1),(116,1),(156,1)}
       140:{2,4,6,7}:{(117,1),(118,1),(121,1),(151,1),(156,1),(157,1),(158,1),(171,1)}
       141:{3,5,7}:{(118,1),(119,1),(120,1),(157,1)}
       142:{1,3,6,7}:{(121,1),(122,1),(157,1),(158,1)}
       143:{2,5,7}:{(122,1),(123,1),(124,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(125,1),(159,1)}
       145:{1,4,7}:{(124,1),(125,1),(126,1),(159,1)}
       146:{1,2,7}:{(126,1),(127,1)}
       147:{1,3,7}:{(128,1),(129,1),(160,1)}
       148:{2,3,6}:{(129,1),(130,1),(136,1),(160,1),(161,1)}
       149:{1,3,5}:{(130,1),(131,1),(137,1),(161,1),(162,1)}
       150:{1,2,4}:{(131,1),(162,1),(163,1)}
       151:{1,4,6,7}:{(132,1),(133,1),(140,1),(164,1),(168,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(135,1),(141,1),(164,1),(165,1)}
       153:{2,5,6}:{(134,1),(136,1),(165,1),(166,1)}
       154:{2,4,7}:{(135,1),(136,1),(160,1),(165,1),(167,1)}
       155:{1,4,6}:{(136,1),(137,1),(161,1),(166,1),(167,1)}
       156:{4,6,7}:{(138,1),(139,1)}
       157:{3,6,7}:{(140,1),(141,1)}
       158:{2,6,7}:{(142,1),(143,1),(168,1)}
       159:{1,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       160:{2,3,7}:{(147,1),(148,1),(154,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(155,1),(169,1),(170,1)}
       162:{1,2,5}:{(149,1),(150,1),(170,1)}
       163:{1,2,3}:{(150,1)}
       164:{1,3,6,7}:{(151,1),(152,1),(157,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,5,6}:{(153,1),(155,1),(172,1)}
       167:{1,4,7}:{(154,1),(155,1),(169,1),(172,1)}
       168:{1,6,7}:{(158,1),(159,1)}
       169:{1,3,7}:{(160,1),(161,1),(167,1),(173,1)}
       170:{1,2,6}:{(161,1),(162,1),(173,1)}
       171:{2,6,7}:{(164,1),(165,1),(174,1)}
       172:{1,5,7}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

 820 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{1,3,4}:{(1,1),(4,1),(5,1)}
        3:{1,2,5}:{(1,1),(5,1),(6,1)}
        4:{2,3,4}:{(2,1),(8,1),(9,1)}
        5:{1,3,5}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,6}:{(3,1),(11,1),(12,1)}
        7:{1,2,3}:{(13,1)}
        8:{1,3,4}:{(4,1),(13,1),(14,1)}
        9:{2,3,5}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,4,5}:{(5,1),(15,1),(17,1)}
       11:{1,3,6}:{(5,1),(6,1),(16,1),(17,1),(18,1)}
       12:{1,2,7}:{(6,1),(18,1)}
       13:{1,2,4}:{(7,1),(8,1),(19,1)}
       14:{1,3,5}:{(8,1),(9,1),(19,1),(20,1),(21,1)}
       15:{2,4,5}:{(9,1),(10,1),(20,1),(22,1),(23,1)}
       16:{2,3,6}:{(9,1),(11,1),(21,1),(23,1),(24,1)}
       17:{1,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,3,7}:{(11,1),(12,1),(24,1),(26,1)}
       19:{1,2,5}:{(13,1),(14,1),(27,1)}
       20:{1,4,5}:{(14,1),(15,1),(28,1)}
       21:{1,3,6}:{(14,1),(16,1),(27,1),(28,1),(29,1)}
       22:{3,4,5}:{(15,1),(30,1)}
       23:{2,4,6}:{(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
       24:{2,3,7}:{(16,1),(18,1),(29,1),(32,1)}
       25:{1,5,6}:{(17,1),(31,1),(33,1)}
       26:{1,4,7}:{(17,1),(18,1),(32,1),(33,1)}
       27:{1,2,6}:{(19,1),(21,1),(34,1)}
       28:{1,4,6}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
       29:{1,3,7}:{(21,1),(24,1),(34,1),(36,1)}
       30:{3,4,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{2,5,6}:{(23,1),(25,1),(35,1),(37,1),(39,1)}
       32:{2,4,7}:{(23,1),(24,1),(26,1),(36,1),(38,1),(39,1)}
       33:{1,5,7}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,2,7}:{(27,1),(29,1)}
       35:{1,5,6}:{(28,1),(31,1),(41,1)}
       36:{1,4,7}:{(28,1),(29,1),(32,1),(41,1)}
       37:{3,5,6}:{(30,1),(31,1),(42,1),(43,1)}
       38:{3,4,7}:{(30,1),(32,1),(43,1)}
       39:{2,5,7}:{(31,1),(32,1),(33,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(33,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 821 :   0:{1,2,6,7}:{(3,1),(5,1),(155,1),(221,1),(303,1),(316,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(77,1),(132,1),(155,1),(217,1),(229,1),(234,1),(316,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(24,1),(27,1),(61,1),(77,1),(129,1),(145,1),(234,1),(240,1),(318,1)}
         3:{1,3,6,7}:{(0,1),(8,1),(10,1),(11,1),(112,1),(277,1),(351,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(45,1),(47,1),(112,1),(183,1),(187,1),(277,1),(279,1),(351,1),(401,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(11,1),(14,1),(113,1),(175,1),(262,1),(274,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(49,1),(93,1),(172,1),(260,1)}
         7:{1,3,5}:{(2,1),(13,1),(15,1),(16,1),(190,1),(284,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(20,1),(21,1),(149,1),(155,1),(232,1),(303,1),(323,1),(368,1)}
         9:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(69,1),(71,1),(77,1),(138,1),(142,1),(149,1),(155,1),(217,1),(232,1),(243,1),(302,1),(323,1),(381,1),(383,1)}
        10:{1,4,6,7}:{(3,1),(20,1),(23,1),(25,1),(75,1),(380,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(25,1),(28,1),(228,1),(233,1)}
        12:{1,4,6}:{(4,1),(22,1),(24,1),(25,1),(318,1)}
        13:{1,3,4}:{(7,1),(27,1),(318,1),(322,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(78,1),(133,1),(218,1),(301,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1),(29,1),(302,1)}
        16:{2,3,5}:{(7,1),(27,1),(29,1),(30,1),(77,1),(129,1),(154,1)}
        17:{1,3,4,5}:{(13,1),(32,1),(33,1),(47,1),(88,1),(105,1),(179,1),(194,1),(270,1),(284,1)}
        18:{1,3,6,7}:{(8,1),(34,1),(36,1),(37,1),(185,1),(200,1),(288,1)}
        19:{1,3,5,6}:{(9,1),(35,1),(37,1),(38,1),(52,1),(97,1),(98,1),(100,1),(114,1),(185,1),(200,1),(202,1),(288,1),(357,1)}
        20:{2,4,6,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(42,1),(106,1),(356,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(11,1),(37,1),(40,1),(42,1),(51,1),(107,1),(113,1),(182,1),(186,1),(262,1),(337,1),(393,1)}
        22:{2,4,6}:{(9,1),(12,1),(38,1),(41,1),(42,1),(43,1),(287,1),(402,1)}
        23:{1,5,7}:{(10,1),(40,1),(45,1),(401,1)}
        24:{1,4,5}:{(12,1),(41,1),(47,1),(187,1),(401,1)}
        25:{1,4,7}:{(11,1),(12,1),(42,1)}
        26:{1,3,4,6}:{(12,1),(13,1),(15,1),(43,1),(47,1),(48,1),(49,1),(112,1)}
        27:{2,4}:{(13,1),(16,1),(50,1)}
        28:{1,3,7}:{(14,1),(15,1),(51,1),(337,1)}
        29:{2,3,6}:{(15,1),(16,1),(49,1),(51,1),(52,1),(172,1)}
        30:{1,3,5}:{(16,1),(50,1),(52,1),(53,1),(114,1),(117,1)}
        31:{1,4,5,6}:{(24,1),(54,1),(57,1),(58,1),(75,1),(208,1),(214,1),(310,1),(319,1),(375,1)}
        32:{1,3,4,6}:{(17,1),(58,1),(59,1),(60,1),(123,1),(128,1),(214,1),(302,1)}
        33:{2,4,5}:{(17,1),(27,1),(55,1),(60,1),(61,1),(77,1),(129,1),(220,1),(307,1)}
        34:{1,2,6,7}:{(18,1),(62,1),(232,1),(245,1),(294,1),(303,1)}
        35:{1,2,5,6}:{(19,1),(62,1),(63,1),(82,1),(142,1),(157,1),(208,1),(217,1),(232,1),(245,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(64,1),(66,1),(140,1),(325,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(62,1),(64,1),(66,1),(81,1),(137,1),(156,1)}
        38:{1,4,6}:{(19,1),(22,1),(65,1),(66,1),(247,1)}
        39:{3,4,6,7}:{(20,1),(68,1),(72,1),(146,1),(149,1),(368,1),(382,1),(411,1)}
        40:{2,5,7}:{(20,1),(23,1),(64,1),(68,1),(69,1),(383,1)}
        41:{2,4,5}:{(22,1),(24,1),(65,1),(71,1),(77,1),(142,1),(383,1),(415,1)}
        42:{2,4,7}:{(21,1),(22,1),(25,1),(66,1),(72,1),(411,1)}
        43:{3,4,6}:{(22,1),(71,1),(72,1),(149,1),(302,1),(322,1)}
        44:{2,3,4}:{(27,1),(55,1),(74,1),(154,1),(220,1),(322,1)}
        45:{1,5,6}:{(23,1),(69,1),(75,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(25,1),(70,1),(75,1),(76,1),(233,1)}
        47:{1,3,5}:{(24,1),(26,1),(71,1),(77,1)}
        48:{1,3,4,7}:{(25,1),(26,1),(28,1),(72,1),(76,1),(78,1)}
        49:{2,4,6}:{(26,1),(27,1),(29,1),(77,1),(78,1),(79,1),(155,1)}
        50:{1,4}:{(27,1),(30,1)}
        51:{2,3,7}:{(28,1),(29,1),(78,1),(81,1),(218,1)}
        52:{1,3,6}:{(29,1),(30,1),(79,1),(81,1),(82,1)}
        53:{1,2,5}:{(30,1),(80,1),(82,1),(129,1)}
        54:{2,4,5,6}:{(31,1),(41,1),(83,1),(85,1),(86,1),(91,1),(106,1),(163,1),(167,1),(191,1),(260,1),(281,1),(341,1),(353,1),(397,1),(402,1)}
        55:{2,3,5}:{(33,1),(44,1),(87,1),(88,1),(284,1)}
        56:{1,5,6,7}:{(45,1),(84,1),(89,1),(335,1),(398,1)}
        57:{1,4,5,7}:{(31,1),(85,1),(89,1),(90,1),(252,1),(259,1),(335,1)}
        58:{1,3,5,6}:{(31,1),(32,1),(47,1),(86,1),(90,1),(91,1),(112,1),(270,1),(345,1)}
        59:{1,3,4,7}:{(32,1),(90,1),(92,1),(166,1),(171,1),(259,1),(337,1)}
        60:{2,4,6}:{(32,1),(33,1),(87,1),(91,1),(92,1),(93,1),(172,1)}
        61:{1,4,5}:{(33,1),(50,1),(88,1),(93,1),(114,1),(256,1),(334,1)}
        62:{1,2,5,7}:{(34,1),(35,1),(37,1),(96,1),(118,1),(186,1),(252,1),(262,1)}
        63:{1,2,4,6}:{(35,1),(38,1),(95,1),(96,1),(97,1),(102,1),(250,1),(260,1),(327,1)}
        64:{1,5,7}:{(36,1),(40,1),(98,1),(357,1)}
        65:{1,4,5}:{(38,1),(41,1),(100,1),(114,1),(357,1)}
        66:{1,4,7}:{(37,1),(38,1),(42,1)}
        67:{1,3,4,6}:{(38,1),(43,1),(97,1),(100,1),(101,1),(102,1),(180,1),(185,1)}
        68:{3,5,7}:{(39,1),(40,1),(103,1),(104,1),(403,1)}
        69:{2,5,6}:{(40,1),(45,1),(98,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(99,1),(104,1),(106,1),(107,1),(113,1),(186,1)}
        71:{3,5}:{(41,1),(43,1)}
        72:{3,4,7}:{(42,1),(43,1),(107,1),(337,1)}
        73:{2,3,4,6}:{(43,1),(44,1),(49,1),(87,1),(102,1),(108,1),(109,1),(110,1),(167,1),(195,1),(199,1),(248,1),(265,1),(271,1),(287,1),(338,1),(356,1),(387,1)}
        74:{1,3,4}:{(44,1),(50,1),(88,1),(111,1),(117,1),(190,1),(256,1)}
        75:{1,4,6}:{(45,1),(46,1),(106,1),(112,1),(277,1)}
        76:{1,3,5,7}:{(46,1),(47,1),(48,1),(107,1),(112,1),(113,1)}
        77:{2,5}:{(47,1),(49,1),(114,1)}
        78:{2,4,7}:{(48,1),(49,1),(51,1),(113,1),(115,1)}
        79:{1,4,6}:{(49,1),(50,1),(52,1),(114,1),(115,1),(200,1)}
        80:{1,2,4}:{(50,1),(53,1),(111,1),(117,1)}
        81:{1,3,7}:{(51,1),(52,1),(115,1),(118,1)}
        82:{1,2,6}:{(52,1),(53,1),(118,1),(172,1)}
        83:{1,4,5,6}:{(54,1),(65,1),(120,1),(121,1),(132,1),(140,1),(214,1),(319,1),(365,1),(410,1)}
        84:{2,5,6,7}:{(56,1),(69,1),(119,1),(122,1),(124,1),(299,1),(367,1),(414,1)}
        85:{2,4,5,7}:{(54,1),(57,1),(120,1),(124,1),(125,1),(131,1),(207,1),(211,1),(213,1),(299,1),(301,1),(367,1),(411,1)}
        86:{3,5,6}:{(54,1),(71,1),(123,1),(125,1),(149,1),(302,1),(370,1),(413,1)}
        87:{2,3,6}:{(55,1),(60,1),(127,1),(128,1),(302,1)}
        88:{1,3,5}:{(55,1),(61,1),(74,1),(128,1),(129,1)}
        89:{1,4,6,7}:{(56,1),(57,1),(75,1),(124,1),(130,1),(294,1),(375,1)}
        90:{1,3,5,7}:{(57,1),(58,1),(59,1),(125,1),(130,1),(131,1)}
        91:{2,5,6}:{(58,1),(60,1),(77,1),(131,1),(132,1),(155,1),(307,1),(373,1)}
        92:{2,4,7}:{(59,1),(60,1),(127,1),(131,1),(133,1),(218,1)}
        93:{1,4,6}:{(60,1),(61,1),(128,1),(132,1),(133,1)}
        94:{1,2,4,5}:{(61,1),(80,1),(129,1),(134,1),(135,1),(157,1),(220,1),(240,1),(247,1),(307,1),(310,1)}
        95:{1,2,4,5}:{(63,1),(65,1),(136,1),(142,1),(157,1),(226,1),(231,1),(240,1),(247,1),(314,1),(376,1)}
        96:{1,2,4,7}:{(62,1),(63,1),(66,1),(137,1),(143,1),(292,1),(301,1),(359,1)}
        97:{1,3,6}:{(63,1),(136,1),(137,1),(138,1),(302,1)}
        98:{1,5,6}:{(64,1),(69,1),(140,1)}
        99:{1,4,5,7}:{(64,1),(65,1),(66,1),(70,1),(140,1),(141,1),(156,1)}
       100:{1,3,5}:{(65,1),(67,1),(71,1),(142,1)}
       101:{1,3,4,7}:{(66,1),(67,1),(72,1),(137,1),(141,1),(143,1)}
       102:{2,4,6}:{(67,1),(138,1),(142,1),(143,1),(144,1),(226,1),(232,1)}
       103:{3,5,6}:{(68,1),(69,1),(146,1),(149,1)}
       104:{4,5,7}:{(68,1),(146,1),(411,1),(415,1)}
       105:{3,4,5}:{(71,1),(123,1),(148,1),(322,1),(370,1),(415,1)}
       106:{2,4,6}:{(69,1),(70,1),(75,1),(140,1),(146,1),(149,1),(155,1),(232,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(149,1)}
       108:{2,3,5}:{(71,1),(73,1),(77,1),(142,1),(148,1),(151,1),(307,1),(370,1),(383,1),(407,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(78,1),(127,1),(143,1),(150,1),(152,1),(213,1),(244,1),(290,1),(306,1),(324,1),(369,1),(406,1)}
       110:{1,3,4,6}:{(73,1),(74,1),(79,1),(128,1),(144,1),(151,1),(152,1),(153,1),(159,1),(214,1),(236,1),(241,1),(247,1),(291,1),(298,1),(302,1),(312,1),(318,1),(322,1),(325,1),(380,1),(382,1),(405,1)}
       111:{2,4}:{(74,1),(129,1),(154,1)}
       112:{1,3,6}:{(75,1),(76,1),(149,1),(155,1)}
       113:{2,5,7}:{(76,1),(77,1),(78,1),(155,1),(156,1)}
       114:{1,5}:{(77,1),(79,1)}
       115:{1,4,7}:{(78,1),(79,1),(81,1),(156,1)}
       116:{1,2,4,6}:{(79,1),(80,1),(82,1),(153,1),(157,1),(158,1),(159,1),(245,1),(247,1),(325,1),(358,1),(376,1),(405,1)}
       117:{1,3}:{(80,1),(154,1)}
       118:{1,2,7}:{(81,1),(82,1),(218,1)}
       119:{1,5,6,7}:{(84,1),(98,1),(161,1),(335,1),(420,1)}
       120:{1,4,5,7}:{(83,1),(85,1),(161,1),(162,1),(175,1),(259,1),(335,1)}
       121:{1,3,5,6}:{(83,1),(86,1),(100,1),(160,1),(162,1),(163,1),(185,1),(389,1),(419,1)}
       122:{3,5,6,7}:{(84,1),(103,1),(165,1),(168,1),(257,1),(393,1),(422,1)}
       123:{3,4,6}:{(86,1),(105,1),(166,1),(167,1),(402,1)}
       124:{2,4,6,7}:{(84,1),(85,1),(89,1),(106,1),(161,1),(165,1),(168,1),(174,1),(251,1),(397,1)}
       125:{3,5,7}:{(85,1),(86,1),(166,1),(168,1),(337,1)}
       126:{2,3,5,6}:{(86,1),(87,1),(91,1),(108,1),(163,1),(167,1),(169,1),(170,1),(195,1),(248,1),(281,1)}
       127:{2,3,7}:{(87,1),(92,1),(171,1),(337,1)}
       128:{1,3,6}:{(87,1),(88,1),(93,1),(171,1),(172,1)}
       129:{2,5}:{(88,1),(111,1),(172,1)}
       130:{1,3,6,7}:{(89,1),(90,1),(112,1),(168,1),(174,1),(345,1)}
       131:{2,5,7}:{(90,1),(91,1),(92,1),(174,1),(175,1)}
       132:{1,5,6}:{(91,1),(93,1),(114,1),(175,1),(200,1),(334,1),(392,1)}
       133:{1,4,7}:{(92,1),(93,1),(171,1),(175,1)}
       134:{1,2,4,6}:{(93,1),(94,1),(172,1),(176,1),(177,1),(178,1),(260,1),(265,1),(268,1)}
       135:{1,3,5}:{(94,1),(117,1),(173,1),(178,1),(179,1),(284,1)}
       136:{1,3,5}:{(95,1),(97,1),(180,1),(181,1),(284,1),(399,1)}
       137:{1,3,7}:{(96,1),(97,1),(182,1),(337,1)}
       138:{2,3,6}:{(97,1),(102,1),(181,1),(182,1),(183,1),(327,1)}
       139:{1,3,4,5}:{(100,1),(105,1),(160,1),(180,1),(184,1),(194,1),(275,1),(284,1),(350,1),(389,1)}
       140:{1,4,6}:{(98,1),(99,1),(106,1),(185,1),(200,1)}
       141:{1,3,5,7}:{(99,1),(100,1),(101,1),(107,1),(185,1),(186,1)}
       142:{2,5}:{(100,1),(102,1),(187,1)}
       143:{2,4,7}:{(101,1),(102,1),(182,1),(186,1),(188,1)}
       144:{1,4,6}:{(102,1),(183,1),(187,1),(188,1),(272,1),(277,1)}
       145:{1,2,4}:{(111,1),(164,1),(190,1),(256,1)}
       146:{4,6}:{(103,1),(104,1)}
       147:{3,4,5,7}:{(104,1),(105,1),(107,1),(166,1),(192,1),(193,1),(257,1),(355,1),(395,1),(403,1),(421,1)}
       148:{2,4,5}:{(105,1),(108,1),(167,1),(194,1),(287,1)}
       149:{3,6}:{(106,1),(107,1)}
       150:{2,3,5,7}:{(107,1),(108,1),(109,1),(113,1),(186,1),(193,1),(195,1),(196,1),(342,1),(395,1),(418,1)}
       151:{1,3,5}:{(108,1),(110,1),(114,1),(187,1),(194,1),(197,1),(284,1),(334,1),(357,1),(401,1),(403,1),(417,1)}
       152:{1,3,4,7}:{(109,1),(110,1),(115,1),(171,1),(188,1),(196,1),(198,1),(203,1),(259,1),(280,1),(289,1),(326,1),(333,1),(337,1),(352,1),(355,1),(416,1)}
       153:{2,4,6}:{(110,1),(111,1),(172,1),(197,1),(198,1),(199,1),(285,1),(287,1),(327,1),(346,1)}
       154:{2,3}:{(111,1),(117,1),(190,1)}
       155:{2,6}:{(112,1),(113,1),(200,1)}
       156:{1,5,7}:{(113,1),(114,1),(115,1),(200,1)}
       157:{1,2,5}:{(114,1),(116,1),(197,1),(202,1),(357,1),(417,1)}
       158:{1,2,4,7}:{(115,1),(116,1),(118,1),(198,1),(201,1),(203,1),(289,1),(384,1),(416,1)}
       159:{1,3,6}:{(116,1),(117,1),(199,1),(202,1),(203,1),(399,1)}
       160:{1,3,4,6}:{(121,1),(123,1),(139,1),(204,1),(205,1),(214,1),(291,1),(302,1)}
       161:{1,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(206,1),(221,1),(410,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(125,1),(204,1),(206,1),(207,1)}
       163:{2,5,6}:{(121,1),(142,1),(205,1),(207,1),(208,1),(232,1),(407,1),(424,1)}
       164:{1,2,5}:{(129,1),(145,1),(209,1),(210,1)}
       165:{4,6,7}:{(122,1),(146,1),(211,1),(411,1),(425,1)}
       166:{3,4,7}:{(123,1),(125,1),(213,1),(411,1)}
       167:{2,4,6}:{(123,1),(126,1),(148,1),(213,1),(214,1)}
       168:{3,6,7}:{(124,1),(125,1),(149,1),(413,1)}
       169:{2,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(207,1),(213,1),(215,1),(216,1),(290,1),(299,1)}
       170:{1,3,5,6}:{(126,1),(128,1),(132,1),(151,1),(208,1),(214,1),(216,1),(217,1),(241,1),(291,1),(302,1),(319,1),(381,1)}
       171:{1,3,7}:{(127,1),(128,1),(133,1),(218,1)}
       172:{2,6}:{(128,1),(129,1),(218,1)}
       173:{2,3,5}:{(129,1),(135,1),(154,1),(210,1),(219,1),(220,1),(307,1)}
       174:{2,6,7}:{(130,1),(131,1),(155,1),(221,1),(373,1)}
       175:{1,5,7}:{(131,1),(132,1),(133,1),(221,1)}
       176:{1,2,5,6}:{(132,1),(134,1),(157,1),(217,1),(222,1),(223,1),(245,1),(307,1),(358,1),(373,1)}
       177:{1,2,4,7}:{(133,1),(134,1),(218,1),(222,1),(224,1),(301,1),(306,1),(309,1)}
       178:{1,3,6}:{(134,1),(135,1),(219,1),(224,1),(302,1)}
       179:{1,3,4}:{(135,1),(220,1),(247,1),(322,1)}
       180:{1,3,4}:{(136,1),(226,1),(247,1),(322,1)}
       181:{2,3,5}:{(136,1),(138,1),(142,1),(226,1),(227,1),(314,1),(377,1)}
       182:{2,3,7}:{(137,1),(138,1),(143,1),(228,1),(359,1)}
       183:{1,3,6}:{(138,1),(144,1),(227,1),(228,1),(229,1)}
       184:{2,4,5}:{(139,1),(142,1),(205,1),(226,1),(230,1),(231,1),(314,1),(379,1),(407,1)}
       185:{1,3,6}:{(140,1),(141,1),(149,1),(232,1)}
       186:{2,5,7}:{(141,1),(142,1),(143,1),(232,1),(233,1)}
       187:{1,5}:{(142,1),(144,1)}
       188:{1,4,7}:{(143,1),(144,1),(228,1),(233,1)}
       189:{1,2,4,6}:{(144,1),(145,1),(153,1),(209,1),(229,1),(234,1),(235,1),(236,1),(298,1),(313,1),(316,1),(318,1),(380,1)}
       190:{1,3}:{(145,1),(154,1)}
       191:{4,5,6}:{(146,1),(211,1),(237,1),(415,1),(425,1)}
       192:{3,4,6}:{(146,1),(147,1),(149,1),(237,1),(238,1),(413,1),(425,1)}
       193:{2,4,5,7}:{(147,1),(148,1),(150,1),(213,1),(238,1),(239,1),(299,1),(324,1),(383,1)}
       194:{1,4,5}:{(148,1),(151,1),(214,1),(240,1),(247,1),(318,1),(415,1)}
       195:{2,3,6}:{(149,1),(150,1),(155,1),(232,1),(238,1),(241,1),(373,1),(413,1),(424,1)}
       196:{1,3,5,7}:{(150,1),(151,1),(152,1),(156,1),(233,1),(239,1),(241,1),(242,1),(321,1),(366,1),(423,1)}
       197:{2,5}:{(151,1),(153,1)}
       198:{2,4,7}:{(152,1),(153,1),(218,1),(242,1),(244,1),(359,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(236,1),(243,1),(244,1),(302,1),(377,1)}
       200:{1,6}:{(155,1),(156,1)}
       201:{1,2,5,7}:{(156,1),(157,1),(158,1),(242,1),(245,1),(246,1),(423,1)}
       202:{1,3,5}:{(157,1),(159,1),(243,1),(247,1)}
       203:{1,3,7}:{(158,1),(159,1),(244,1)}
       204:{1,3,4,7}:{(160,1),(162,1),(166,1),(249,1),(259,1),(326,1),(337,1)}
       205:{2,4,6}:{(160,1),(163,1),(184,1),(248,1),(249,1),(250,1),(327,1)}
       206:{1,3,6,7}:{(161,1),(162,1),(168,1),(185,1),(251,1),(419,1)}
       207:{2,5,7}:{(162,1),(163,1),(249,1),(251,1),(252,1)}
       208:{1,5,6}:{(163,1),(187,1),(250,1),(252,1),(277,1),(417,1),(426,1)}
       209:{1,2,6}:{(164,1),(172,1),(254,1),(255,1)}
       210:{1,3,5}:{(164,1),(173,1),(190,1),(255,1),(256,1),(334,1)}
       211:{4,5,7}:{(165,1),(191,1),(257,1)}
       212:{3,4,6,7}:{(165,1),(166,1),(168,1),(192,1),(257,1),(258,1)}
       213:{2,4,7}:{(166,1),(167,1),(169,1),(259,1)}
       214:{1,4,6}:{(167,1),(170,1),(194,1),(259,1),(260,1),(402,1)}
       215:{2,3,6,7}:{(168,1),(169,1),(174,1),(195,1),(251,1),(258,1),(261,1)}
       216:{1,3,5,7}:{(169,1),(170,1),(171,1),(175,1),(252,1),(259,1),(261,1),(262,1),(326,1),(335,1),(337,1),(393,1)}
       217:{2,5,6}:{(170,1),(172,1),(197,1),(260,1),(262,1),(285,1),(327,1)}
       218:{2,7}:{(171,1),(172,1)}
       219:{2,3,6}:{(172,1),(173,1),(178,1),(255,1),(264,1),(265,1)}
       220:{2,4}:{(173,1),(179,1),(256,1)}
       221:{1,6,7}:{(174,1),(175,1),(200,1),(392,1)}
       222:{1,2,5,7}:{(175,1),(176,1),(177,1),(262,1),(266,1),(267,1),(342,1),(384,1)}
       223:{1,3,5,6}:{(176,1),(178,1),(202,1),(263,1),(267,1),(268,1),(270,1),(288,1),(345,1),(357,1),(385,1),(398,1),(417,1),(426,1)}
       224:{1,3,7}:{(177,1),(178,1),(264,1),(337,1)}
       225:{1,3,4,6}:{(178,1),(179,1),(265,1),(268,1),(269,1),(270,1),(338,1),(345,1)}
       226:{2,4}:{(180,1),(181,1),(272,1)}
       227:{1,3,5}:{(181,1),(183,1),(187,1),(272,1),(273,1),(347,1)}
       228:{1,3,7}:{(182,1),(183,1),(188,1),(274,1)}
       229:{1,2,6}:{(183,1),(273,1),(274,1),(327,1)}
       230:{2,3,5}:{(184,1),(248,1),(271,1),(275,1),(284,1)}
       231:{1,4,5}:{(184,1),(187,1),(250,1),(272,1),(275,1),(400,1),(417,1)}
       232:{2,6}:{(185,1),(186,1),(277,1)}
       233:{1,5,7}:{(186,1),(187,1),(188,1),(277,1)}
       234:{1,2,5}:{(187,1),(189,1),(197,1),(279,1),(334,1),(401,1)}
       235:{1,2,4,7}:{(188,1),(189,1),(198,1),(254,1),(274,1),(278,1),(280,1),(333,1),(352,1)}
       236:{1,3,6}:{(189,1),(190,1),(199,1),(279,1),(280,1),(347,1)}
       237:{3,5,6}:{(191,1),(192,1),(257,1),(281,1),(403,1)}
       238:{2,4,6}:{(192,1),(193,1),(195,1),(281,1),(282,1)}
       239:{1,4,5,7}:{(193,1),(194,1),(196,1),(259,1),(282,1),(283,1),(289,1),(335,1),(352,1),(357,1),(401,1)}
       240:{2,4,5}:{(194,1),(197,1),(260,1),(284,1),(287,1)}
       241:{1,3,6}:{(195,1),(196,1),(200,1),(277,1),(282,1),(285,1),(354,1),(392,1),(426,1)}
       242:{2,5,7}:{(196,1),(197,1),(198,1),(285,1)}
       243:{2,3,5}:{(197,1),(199,1),(202,1),(279,1),(284,1),(287,1)}
       244:{2,3,7}:{(198,1),(199,1),(203,1),(280,1),(337,1)}
       245:{1,2,6}:{(200,1),(201,1),(285,1),(288,1),(426,1)}
       246:{1,3,5,7}:{(201,1),(202,1),(203,1),(286,1),(288,1),(289,1),(357,1)}
       247:{1,4}:{(202,1),(287,1)}
       248:{2,3,6}:{(205,1),(230,1),(290,1),(291,1),(302,1)}
       249:{2,4,7}:{(204,1),(205,1),(207,1),(290,1),(292,1),(359,1)}
       250:{1,4,6}:{(205,1),(208,1),(231,1),(291,1),(292,1)}
       251:{2,6,7}:{(206,1),(207,1),(232,1),(294,1),(424,1)}
       252:{1,5,7}:{(207,1),(208,1),(292,1),(294,1)}
       253:{1,2,5,6}:{(208,1),(209,1),(217,1),(234,1),(293,1),(295,1),(296,1),(316,1),(407,1),(424,1)}
       254:{1,2,7}:{(209,1),(218,1),(297,1)}
       255:{1,3,6}:{(209,1),(210,1),(219,1),(297,1),(298,1)}
       256:{1,4}:{(210,1),(220,1)}
       257:{3,5,7}:{(211,1),(212,1),(237,1),(299,1)}
       258:{2,4,6,7}:{(212,1),(213,1),(215,1),(238,1),(299,1),(300,1)}
       259:{1,4,7}:{(213,1),(214,1),(216,1),(301,1),(411,1)}
       260:{2,4,6}:{(214,1),(217,1),(240,1),(301,1),(302,1)}
       261:{1,3,6,7}:{(215,1),(216,1),(221,1),(241,1),(294,1),(300,1),(303,1),(368,1)}
       262:{2,5,7}:{(216,1),(217,1),(218,1),(301,1),(303,1),(359,1)}
       263:{2,3,5,6}:{(217,1),(219,1),(223,1),(243,1),(296,1),(302,1),(304,1),(305,1),(307,1),(323,1),(360,1),(370,1),(373,1),(381,1),(383,1),(407,1),(413,1),(414,1),(424,1)}
       264:{2,3,7}:{(218,1),(219,1),(224,1),(297,1),(306,1)}
       265:{2,4,6}:{(219,1),(220,1),(225,1),(298,1),(306,1),(307,1),(373,1)}
       266:{1,2,6,7}:{(221,1),(222,1),(245,1),(303,1),(308,1),(373,1)}
       267:{1,3,5,7}:{(222,1),(223,1),(224,1),(304,1),(308,1),(309,1),(374,1),(404,1),(423,1)}
       268:{1,4,6}:{(223,1),(247,1),(305,1),(309,1),(310,1)}
       269:{1,3,4,7}:{(224,1),(225,1),(306,1),(309,1),(311,1),(369,1)}
       270:{1,3,5}:{(225,1),(307,1),(310,1),(370,1)}
       271:{2,3,4}:{(226,1),(230,1),(312,1),(322,1),(377,1),(379,1)}
       272:{1,4}:{(226,1),(227,1)}
       273:{1,2,5}:{(227,1),(229,1),(313,1),(314,1)}
       274:{1,2,7}:{(228,1),(229,1),(359,1)}
       275:{1,3,5}:{(230,1),(231,1),(291,1),(312,1),(314,1)}
       276:{1,2,4,5}:{(231,1),(234,1),(240,1),(293,1),(313,1),(314,1),(315,1),(318,1),(365,1),(379,1),(407,1)}
       277:{1,6}:{(232,1),(233,1)}
       278:{1,2,5,7}:{(233,1),(234,1),(235,1),(242,1),(316,1),(317,1),(366,1)}
       279:{1,3,5}:{(234,1),(236,1),(243,1),(318,1)}
       280:{1,3,7}:{(235,1),(236,1),(244,1)}
       281:{2,5,6}:{(237,1),(238,1),(299,1),(319,1),(383,1)}
       282:{1,4,6}:{(238,1),(239,1),(241,1),(319,1),(320,1)}
       283:{2,4,5,7}:{(239,1),(240,1),(242,1),(301,1),(320,1),(321,1),(324,1),(367,1),(383,1),(411,1),(415,1)}
       284:{3,5}:{(240,1),(302,1),(322,1)}
       285:{2,6}:{(241,1),(242,1)}
       286:{2,3,5,7}:{(242,1),(243,1),(244,1),(246,1),(317,1),(321,1),(323,1),(324,1),(383,1)}
       287:{2,4}:{(243,1),(247,1),(318,1),(322,1)}
       288:{1,3,6}:{(245,1),(246,1),(323,1),(325,1)}
       289:{1,4,7}:{(246,1),(247,1),(324,1),(325,1)}
       290:{2,3,7}:{(248,1),(249,1),(326,1),(337,1)}
       291:{1,3,6}:{(248,1),(250,1),(275,1),(326,1),(327,1)}
       292:{1,4,7}:{(249,1),(250,1),(252,1),(326,1)}
       293:{1,2,4,6}:{(250,1),(253,1),(260,1),(276,1),(327,1),(328,1),(329,1),(332,1),(387,1)}
       294:{1,6,7}:{(251,1),(252,1),(277,1),(426,1)}
       295:{1,2,5,7}:{(252,1),(253,1),(254,1),(262,1),(328,1),(330,1),(331,1),(418,1)}
       296:{1,3,5,6}:{(253,1),(255,1),(263,1),(279,1),(329,1),(331,1),(332,1),(334,1),(351,1),(389,1),(392,1),(401,1),(419,1),(420,1)}
       297:{1,3,7}:{(254,1),(255,1),(264,1),(333,1)}
       298:{1,4,6}:{(255,1),(256,1),(265,1),(333,1),(334,1),(392,1)}
       299:{2,5,7}:{(257,1),(258,1),(281,1),(335,1)}
       300:{1,4,6,7}:{(258,1),(259,1),(261,1),(282,1),(335,1),(336,1)}
       301:{2,4,7}:{(259,1),(260,1),(262,1),(337,1)}
       302:{3,6}:{(260,1),(284,1),(337,1)}
       303:{2,6,7}:{(261,1),(262,1),(285,1)}
       304:{2,3,5,7}:{(262,1),(263,1),(264,1),(267,1),(331,1),(337,1),(339,1),(340,1),(342,1),(386,1),(393,1),(395,1),(396,1),(418,1)}
       305:{2,4,6}:{(263,1),(268,1),(287,1),(332,1),(338,1),(340,1),(341,1),(402,1)}
       306:{2,4,7}:{(264,1),(265,1),(269,1),(333,1),(342,1)}
       307:{2,5}:{(265,1),(270,1),(334,1)}
       308:{1,3,6,7}:{(266,1),(267,1),(288,1),(339,1),(343,1),(345,1),(426,1)}
       309:{1,4,7}:{(267,1),(268,1),(340,1)}
       310:{1,4,5}:{(268,1),(270,1),(341,1),(357,1),(417,1)}
       311:{1,3,5,7}:{(269,1),(270,1),(342,1),(344,1),(345,1),(395,1)}
       312:{1,3,4}:{(271,1),(272,1),(275,1),(346,1),(347,1),(399,1),(400,1)}
       313:{1,2,4}:{(272,1),(273,1),(346,1),(347,1)}
       314:{2,5}:{(275,1),(327,1),(346,1)}
       315:{1,3,5}:{(276,1),(284,1),(329,1),(347,1),(349,1),(350,1)}
       316:{1,2,6}:{(277,1),(278,1),(285,1),(351,1),(392,1)}
       317:{1,3,5,7}:{(278,1),(279,1),(280,1),(286,1),(351,1),(352,1),(401,1)}
       318:{1,4}:{(279,1),(287,1)}
       319:{1,5,6}:{(281,1),(282,1),(335,1),(353,1),(357,1),(401,1)}
       320:{2,4,6}:{(282,1),(283,1),(285,1),(353,1),(354,1),(402,1)}
       321:{3,5,7}:{(283,1),(284,1),(337,1),(354,1),(355,1),(403,1)}
       322:{3,4}:{(284,1),(287,1)}
       323:{2,3,6}:{(285,1),(286,1),(288,1),(351,1),(354,1),(356,1)}
       324:{2,4,7}:{(286,1),(287,1),(289,1),(352,1),(355,1),(356,1)}
       325:{1,4,6}:{(288,1),(289,1),(356,1),(357,1)}
       326:{1,3,7}:{(290,1),(291,1),(292,1),(359,1)}
       327:{2,6}:{(291,1),(314,1),(359,1)}
       328:{1,2,4,7}:{(292,1),(293,1),(295,1),(301,1),(359,1),(361,1),(364,1),(406,1)}
       329:{1,3,6}:{(293,1),(302,1),(315,1),(360,1),(361,1)}
       330:{1,2,6,7}:{(294,1),(295,1),(303,1),(316,1),(363,1),(424,1)}
       331:{1,3,5,7}:{(295,1),(296,1),(297,1),(304,1),(361,1),(363,1),(364,1),(366,1),(409,1)}
       332:{1,4,6}:{(296,1),(305,1),(318,1),(364,1),(365,1)}
       333:{1,4,7}:{(297,1),(298,1),(306,1),(366,1)}
       334:{1,5}:{(298,1),(307,1)}
       335:{1,5,7}:{(299,1),(300,1),(319,1),(367,1)}
       336:{2,4,6,7}:{(300,1),(301,1),(303,1),(320,1),(367,1),(368,1),(411,1)}
       337:{3,7}:{(301,1),(302,1)}
       338:{3,4,6}:{(302,1),(305,1),(322,1),(369,1),(370,1),(413,1)}
       339:{2,3,6,7}:{(303,1),(304,1),(308,1),(323,1),(363,1),(368,1),(371,1),(373,1),(413,1),(424,1)}
       340:{2,4,7}:{(304,1),(305,1),(309,1),(364,1),(369,1),(411,1)}
       341:{2,4,5}:{(305,1),(307,1),(310,1),(365,1),(370,1),(383,1),(407,1),(415,1)}
       342:{2,5,7}:{(306,1),(307,1),(311,1),(366,1),(373,1)}
       343:{1,4,6,7}:{(308,1),(309,1),(325,1),(371,1),(374,1),(375,1)}
       344:{1,4,5,7}:{(309,1),(310,1),(311,1),(372,1),(374,1),(375,1),(423,1)}
       345:{1,3,6}:{(311,1),(373,1),(375,1),(413,1)}
       346:{2,4}:{(312,1),(314,1),(377,1)}
       347:{1,3}:{(313,1),(377,1)}
       348:{1,2,5}:{(314,1),(358,1),(376,1),(378,1)}
       349:{2,3,5}:{(314,1),(315,1),(360,1),(377,1),(378,1),(379,1),(407,1)}
       350:{1,3,4}:{(315,1),(318,1),(322,1),(379,1)}
       351:{1,3,6}:{(316,1),(317,1),(323,1),(380,1)}
       352:{1,4,7}:{(317,1),(318,1),(324,1),(380,1)}
       353:{2,5,6}:{(319,1),(320,1),(367,1),(381,1),(383,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(382,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(325,1),(380,1),(382,1),(383,1)}
       357:{1,5}:{(325,1),(383,1)}
       358:{1,2,6}:{(327,1),(348,1),(384,1),(385,1)}
       359:{2,7}:{(326,1),(327,1)}
       360:{2,3,6}:{(327,1),(329,1),(349,1),(385,1),(386,1),(387,1)}
       361:{1,3,7}:{(328,1),(329,1),(337,1),(386,1)}
       362:{1,3,4,6}:{(329,1),(332,1),(338,1),(350,1),(387,1),(388,1),(389,1),(419,1)}
       363:{1,3,6,7}:{(330,1),(331,1),(339,1),(351,1),(390,1),(392,1),(419,1)}
       364:{1,4,7}:{(331,1),(332,1),(340,1)}
       365:{1,4,5}:{(332,1),(334,1),(341,1),(389,1),(401,1)}
       366:{1,5,7}:{(333,1),(334,1),(342,1),(392,1)}
       367:{2,5,7}:{(335,1),(336,1),(353,1),(393,1)}
       368:{3,6,7}:{(336,1),(337,1),(354,1),(393,1)}
       369:{3,4,7}:{(337,1),(338,1),(340,1),(395,1)}
       370:{3,5}:{(338,1),(341,1)}
       371:{2,4,6,7}:{(339,1),(340,1),(343,1),(356,1),(390,1),(394,1),(396,1),(397,1)}
       372:{2,4,5,7}:{(340,1),(341,1),(342,1),(344,1),(391,1),(395,1),(396,1),(397,1),(418,1),(421,1)}
       373:{2,6}:{(342,1),(345,1),(392,1)}
       374:{1,5,7}:{(343,1),(357,1),(396,1),(398,1)}
       375:{1,4,6}:{(344,1),(345,1),(397,1),(398,1),(426,1)}
       376:{1,2,4}:{(346,1),(348,1),(399,1),(400,1)}
       377:{2,3}:{(346,1),(347,1),(399,1)}
       378:{1,3,5}:{(348,1),(349,1),(385,1),(399,1),(400,1),(417,1)}
       379:{2,4}:{(349,1),(350,1),(400,1)}
       380:{1,4,6}:{(351,1),(352,1),(356,1),(401,1)}
       381:{3,5,6}:{(353,1),(354,1),(393,1),(402,1),(403,1)}
       382:{3,4,6}:{(354,1),(355,1),(356,1),(402,1),(403,1)}
       383:{2,5}:{(356,1),(357,1),(401,1),(403,1)}
       384:{1,2,7}:{(358,1),(359,1),(404,1)}
       385:{1,3,6}:{(358,1),(360,1),(378,1),(404,1),(405,1)}
       386:{2,3,7}:{(359,1),(360,1),(361,1),(404,1),(406,1)}
       387:{2,4,6}:{(360,1),(362,1),(379,1),(405,1),(406,1),(407,1),(424,1)}
       388:{1,3,4,7}:{(361,1),(362,1),(364,1),(369,1),(406,1),(408,1)}
       389:{1,3,5}:{(362,1),(365,1),(370,1),(407,1)}
       390:{1,4,6,7}:{(363,1),(364,1),(371,1),(380,1),(409,1),(410,1)}
       391:{1,4,5,7}:{(364,1),(365,1),(366,1),(372,1),(408,1),(409,1),(410,1)}
       392:{1,6}:{(366,1),(373,1)}
       393:{3,5,7}:{(367,1),(368,1),(381,1),(411,1)}
       394:{3,4,6,7}:{(368,1),(369,1),(371,1),(382,1),(411,1),(412,1),(413,1),(425,1)}
       395:{3,5,7}:{(369,1),(370,1),(372,1),(413,1)}
       396:{2,5,7}:{(371,1),(374,1),(383,1),(409,1),(412,1),(414,1)}
       397:{2,4,6}:{(372,1),(373,1),(375,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       398:{1,5,6}:{(374,1),(375,1),(414,1)}
       399:{1,3}:{(376,1),(377,1)}
       400:{1,4}:{(378,1),(379,1)}
       401:{1,5}:{(380,1),(383,1)}
       402:{4,6}:{(381,1),(411,1),(415,1)}
       403:{3,5}:{(382,1),(383,1),(415,1)}
       404:{1,3,7}:{(384,1),(385,1),(386,1),(416,1)}
       405:{1,4,6}:{(385,1),(387,1),(400,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(386,1),(387,1),(388,1),(416,1),(418,1)}
       407:{2,5}:{(387,1),(389,1),(417,1)}
       408:{1,3,5,7}:{(388,1),(389,1),(391,1),(395,1),(418,1),(419,1)}
       409:{1,5,7}:{(390,1),(396,1),(401,1),(420,1)}
       410:{1,4,6}:{(391,1),(392,1),(397,1),(419,1),(420,1)}
       411:{4,7}:{(393,1),(402,1)}
       412:{3,5,7}:{(394,1),(396,1),(403,1),(421,1),(422,1)}
       413:{3,6}:{(395,1),(397,1)}
       414:{2,5,6}:{(396,1),(397,1),(398,1),(420,1),(422,1)}
       415:{4,5}:{(402,1),(403,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 822 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(31,1),(40,1),(41,1),(44,1),(74,1),(85,1),(93,1),(157,1),(159,1),(211,1),(223,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(120,1),(129,1),(191,1),(194,1),(242,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(53,1),(107,1),(127,1),(181,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(223,1),(225,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(78,1),(139,1),(211,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(74,1),(86,1),(158,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(83,1),(90,1),(144,1),(157,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(22,1),(48,1),(51,1),(62,1),(115,1),(124,1),(125,1),(129,1),(177,1),(178,1),(188,1),(194,1),(242,1),(250,1),(288,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(193,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(242,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(113,1),(176,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(107,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(191,1),(200,1),(203,1),(256,1)}
        16:{2,4,5,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(40,1),(74,1),(79,1),(89,1),(141,1),(142,1),(159,1),(211,1),(213,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(33,1),(75,1),(91,1),(145,1),(146,1),(162,1),(215,1),(274,1),(302,1)}
        18:{2,3,4,7}:{(9,1),(29,1),(34,1),(35,1),(86,1),(100,1),(141,1),(142,1),(168,1),(225,1),(268,1),(269,1),(297,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(139,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(74,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(144,1),(158,1),(162,1),(166,1),(169,1),(215,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(223,1)}
        29:{2,3,5,7}:{(16,1),(18,1),(48,1),(49,1),(58,1),(129,1),(194,1),(197,1),(242,1),(288,1),(307,1)}
        30:{1,3,4,6,7}:{(17,1),(50,1),(51,1),(104,1),(111,1),(177,1),(178,1),(184,1),(242,1)}
        31:{1,4,5,7}:{(16,1),(20,1),(48,1),(53,1),(65,1),(113,1),(124,1),(172,1),(177,1),(237,1)}
        32:{2,4,6}:{(16,1),(17,1),(49,1),(53,1),(54,1),(107,1)}
        33:{1,3,5,6}:{(17,1),(22,1),(51,1),(54,1),(55,1),(119,1),(188,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(48,1),(56,1),(57,1),(63,1),(120,1),(172,1),(177,1),(202,1),(242,1),(289,1),(308,1)}
        35:{2,3,4,6}:{(18,1),(21,1),(49,1),(57,1),(58,1),(72,1),(109,1),(122,1),(136,1),(179,1),(193,1),(245,1),(246,1),(254,1),(285,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(56,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(176,1),(197,1),(201,1),(242,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(107,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(193,1)}
        48:{1,3,5,7}:{(29,1),(31,1),(34,1),(74,1),(75,1),(88,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(32,1),(75,1),(162,1),(215,1),(228,1),(302,1),(312,1)}
        50:{2,4,6,7}:{(30,1),(32,1),(73,1),(78,1),(79,1),(139,1),(141,1),(211,1)}
        51:{1,3,5,7}:{(30,1),(33,1),(79,1),(80,1),(152,1)}
        52:{1,2,4,5,7}:{(31,1),(38,1),(74,1),(81,1),(82,1),(95,1),(142,1),(150,1),(159,1),(164,1),(211,1),(213,1),(219,1),(221,1),(267,1),(313,1)}
        53:{1,4,6}:{(31,1),(32,1),(75,1),(83,1)}
        54:{2,5,6}:{(32,1),(33,1),(40,1),(79,1),(83,1),(213,1)}
        55:{1,4,5,6}:{(33,1),(41,1),(80,1),(84,1),(91,1),(145,1),(221,1),(222,1),(274,1)}
        56:{2,4,7}:{(34,1),(74,1),(86,1),(87,1),(303,1)}
        57:{1,3,4,6}:{(34,1),(35,1),(39,1),(75,1),(87,1),(88,1),(94,1),(145,1),(156,1),(164,1),(170,1),(206,1),(215,1),(223,1),(225,1),(272,1),(277,1),(300,1)}
        58:{2,3,5}:{(35,1),(40,1),(88,1),(89,1),(97,1),(166,1),(213,1),(271,1),(299,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(86,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(87,1),(94,1),(95,1),(164,1),(300,1),(301,1),(304,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(139,1),(228,1),(273,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(144,1),(166,1),(222,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(215,1),(225,1)}
        73:{2,3,6,7}:{(49,1),(50,1),(104,1),(105,1),(184,1),(242,1),(248,1)}
        74:{2,5,7}:{(48,1),(56,1),(107,1),(123,1)}
        75:{1,3,6}:{(48,1),(49,1),(53,1),(107,1),(256,1),(314,1)}
        76:{2,3,5,6}:{(49,1),(54,1),(58,1),(105,1),(108,1),(109,1),(119,1),(190,1),(246,1)}
        77:{1,3,5,6,7}:{(51,1),(59,1),(110,1),(111,1),(184,1),(249,1)}
        78:{1,4,6,7}:{(50,1),(53,1),(104,1),(113,1),(177,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1),(113,1)}
        80:{1,4,5,7}:{(51,1),(55,1),(111,1),(114,1),(177,1),(251,1)}
        81:{1,3,5,7}:{(52,1),(63,1),(106,1),(115,1),(116,1),(130,1),(188,1),(194,1),(242,1),(288,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(107,1),(116,1),(117,1),(179,1),(181,1),(189,1),(287,1),(314,1)}
        83:{1,5,6}:{(53,1),(54,1),(65,1),(113,1),(237,1)}
        84:{2,4,5,6}:{(54,1),(55,1),(66,1),(109,1),(114,1),(118,1),(119,1),(127,1),(181,1),(190,1),(244,1),(287,1)}
        85:{1,2,4,7}:{(56,1),(103,1),(120,1),(121,1),(172,1),(202,1),(259,1)}
        86:{2,3,7}:{(56,1),(63,1),(120,1),(122,1),(242,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(122,1),(123,1),(193,1),(290,1),(293,1)}
        88:{1,3,5}:{(57,1),(58,1),(65,1),(123,1),(124,1),(194,1),(200,1),(237,1),(310,1)}
        89:{2,4,5}:{(58,1),(109,1),(124,1),(125,1),(193,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(122,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(123,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(176,1),(197,1),(251,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(242,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(181,1),(247,1),(290,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(74,1),(85,1),(137,1),(138,1),(157,1),(229,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(78,1),(139,1),(140,1),(273,1)}
       105:{2,3,5,7}:{(73,1),(76,1),(79,1),(140,1),(141,1),(152,1),(220,1),(269,1)}
       106:{2,3,5,7}:{(74,1),(81,1),(86,1),(137,1),(142,1),(143,1),(158,1),(213,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(83,1),(88,1),(140,1),(144,1),(145,1),(215,1),(222,1),(272,1)}
       109:{2,4,6}:{(76,1),(89,1),(141,1),(145,1),(146,1)}
       110:{2,5,6,7}:{(77,1),(79,1),(90,1),(147,1),(148,1),(266,1)}
       111:{1,4,6,7}:{(77,1),(80,1),(91,1),(148,1),(273,1),(274,1)}
       112:{1,2,4,6,7}:{(78,1),(82,1),(139,1),(149,1),(150,1),(209,1),(211,1),(219,1)}
       113:{1,5,7}:{(78,1),(79,1),(83,1)}
       114:{2,4,5,7}:{(79,1),(80,1),(84,1),(141,1),(148,1),(151,1),(152,1),(211,1),(220,1)}
       115:{1,3,4,7}:{(81,1),(142,1),(153,1),(164,1),(219,1),(225,1),(268,1)}
       116:{1,3,6}:{(81,1),(82,1),(143,1),(215,1),(302,1)}
       117:{1,2,5,6}:{(82,1),(83,1),(95,1),(144,1),(150,1),(154,1),(213,1),(266,1),(301,1)}
       118:{1,4,5,6}:{(83,1),(84,1),(96,1),(145,1),(151,1),(155,1),(161,1),(263,1),(295,1)}
       119:{3,5,6}:{(84,1),(97,1),(146,1),(152,1),(162,1),(215,1),(271,1),(302,1)}
       120:{1,3,7}:{(85,1),(86,1),(156,1)}
       121:{1,2,4,6}:{(85,1),(87,1),(138,1),(156,1),(157,1),(170,1),(206,1),(223,1),(233,1),(279,1)}
       122:{2,3,6}:{(86,1),(87,1),(94,1),(156,1),(158,1),(215,1),(305,1)}
       123:{2,5}:{(87,1),(88,1)}
       124:{1,4,5}:{(88,1),(89,1),(145,1),(159,1),(164,1),(223,1)}
       125:{3,4,5}:{(89,1),(97,1),(146,1),(225,1),(271,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(158,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(159,1),(164,1),(165,1),(166,1),(227,1),(230,1),(278,1),(304,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(211,1),(270,1),(303,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(215,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(106,1),(120,1),(172,1),(173,1),(191,1),(237,1)}
       138:{1,2,6}:{(103,1),(107,1),(173,1),(256,1)}
       139:{2,6,7}:{(104,1),(107,1),(176,1)}
       140:{1,3,5,7}:{(104,1),(105,1),(108,1),(113,1),(176,1),(177,1),(242,1),(251,1),(289,1)}
       141:{2,4,7}:{(105,1),(109,1),(177,1),(178,1)}
       142:{2,4,7}:{(106,1),(115,1),(172,1),(179,1),(193,1)}
       143:{2,3,6}:{(106,1),(107,1),(116,1),(173,1),(179,1)}
       144:{2,5,6}:{(107,1),(108,1),(123,1),(176,1),(181,1),(290,1)}
       145:{1,4,6}:{(108,1),(109,1),(124,1),(177,1),(181,1)}
       146:{3,4,6}:{(109,1),(119,1),(125,1),(178,1)}
       147:{1,5,6,7}:{(110,1),(113,1),(126,1),(183,1),(280,1)}
       148:{2,4,6,7}:{(110,1),(111,1),(114,1),(127,1),(183,1),(184,1),(248,1),(287,1)}
       149:{1,3,6,7}:{(112,1),(116,1),(175,1),(186,1),(242,1),(314,1)}
       150:{1,2,5,7}:{(112,1),(113,1),(117,1),(176,1),(186,1),(240,1),(309,1)}
       151:{1,4,5,7}:{(113,1),(114,1),(118,1),(177,1),(183,1),(187,1)}
       152:{3,5,7}:{(114,1),(119,1),(178,1),(184,1),(242,1)}
       153:{1,3,4,6}:{(115,1),(116,1),(179,1),(188,1),(189,1),(245,1)}
       154:{1,3,5,6}:{(116,1),(117,1),(130,1),(180,1),(186,1),(188,1),(189,1),(286,1),(310,1),(314,1)}
       155:{1,3,5,6}:{(118,1),(119,1),(132,1),(182,1),(187,1),(190,1),(196,1),(284,1),(306,1)}
       156:{1,3,6}:{(120,1),(121,1),(122,1),(191,1),(294,1)}
       157:{1,2,5}:{(121,1),(123,1),(191,1),(200,1),(237,1)}
       158:{2,3,5}:{(122,1),(123,1),(130,1),(191,1),(193,1),(194,1)}
       159:{2,4,5}:{(123,1),(124,1),(181,1),(193,1),(194,1)}
       160:{1,3,4,5}:{(124,1),(125,1),(132,1),(182,1),(194,1),(195,1),(198,1),(252,1),(255,1),(284,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(193,1)}
       165:{1,3,5}:{(131,1),(135,1),(194,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(242,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(290,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(139,1),(204,1),(205,1),(273,1),(312,1)}
       172:{1,4,7}:{(137,1),(142,1),(206,1),(223,1)}
       173:{1,3,6}:{(137,1),(138,1),(143,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(144,1),(157,1),(205,1),(207,1),(208,1),(222,1),(299,1),(312,1)}
       175:{2,3,6,7}:{(139,1),(143,1),(149,1),(204,1),(209,1),(210,1),(302,1),(312,1)}
       176:{2,5,7}:{(139,1),(140,1),(144,1),(211,1),(303,1)}
       177:{1,4,7}:{(140,1),(141,1),(145,1),(211,1)}
       178:{3,4,7}:{(141,1),(146,1),(152,1)}
       179:{2,4,6}:{(142,1),(143,1),(153,1),(206,1),(213,1)}
       180:{2,3,5,6}:{(143,1),(144,1),(154,1),(158,1),(207,1),(210,1),(213,1),(214,1),(215,1),(265,1),(266,1),(271,1),(299,1),(302,1),(312,1)}
       181:{2,4,6}:{(144,1),(145,1),(159,1),(211,1),(215,1)}
       182:{1,3,4,6}:{(145,1),(146,1),(155,1),(160,1),(212,1),(215,1),(216,1),(272,1)}
       183:{1,4,6,7}:{(147,1),(148,1),(151,1),(161,1),(217,1),(295,1)}
       184:{3,6,7}:{(148,1),(152,1),(162,1),(302,1)}
       185:{1,3,4,6,7}:{(149,1),(153,1),(209,1),(218,1),(219,1),(268,1),(274,1),(302,1)}
       186:{1,3,5,7}:{(149,1),(150,1),(154,1),(210,1),(219,1),(298,1),(313,1)}
       187:{1,3,5,7}:{(151,1),(152,1),(155,1),(212,1),(217,1),(220,1)}
       188:{1,3,5}:{(153,1),(213,1),(221,1),(271,1)}
       189:{1,4,6}:{(154,1),(164,1),(214,1),(219,1),(221,1)}
       190:{2,5,6}:{(155,1),(166,1),(216,1),(220,1),(222,1),(228,1),(299,1),(312,1)}
       191:{1,3,5}:{(156,1),(157,1),(158,1),(223,1)}
       192:{1,2,4,5}:{(157,1),(159,1),(208,1),(223,1),(224,1),(227,1),(263,1),(275,1),(278,1),(279,1),(299,1)}
       193:{2,4}:{(158,1),(164,1),(223,1),(225,1)}
       194:{3,5}:{(159,1),(215,1),(225,1)}
       195:{2,4,5}:{(160,1),(166,1),(216,1),(226,1),(227,1),(230,1),(275,1),(278,1),(299,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(225,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(278,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(303,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(175,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(176,1),(235,1),(236,1),(251,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(179,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(180,1),(191,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(181,1),(192,1),(236,1),(238,1),(239,1),(247,1),(285,1),(290,1)}
       209:{2,4,6,7}:{(175,1),(179,1),(185,1),(234,1),(240,1),(241,1),(287,1)}
       210:{2,3,5,7}:{(175,1),(176,1),(180,1),(186,1),(235,1),(240,1),(241,1),(242,1),(283,1),(288,1),(307,1)}
       211:{2,4,7}:{(176,1),(177,1),(181,1),(242,1)}
       212:{1,3,4,7}:{(177,1),(178,1),(182,1),(187,1),(242,1),(243,1),(289,1)}
       213:{2,5}:{(179,1),(188,1),(237,1)}
       214:{2,4,6}:{(180,1),(189,1),(193,1),(238,1),(241,1),(244,1),(245,1)}
       215:{3,6}:{(181,1),(194,1),(242,1)}
       216:{2,4,6}:{(182,1),(190,1),(195,1),(243,1),(246,1),(247,1),(290,1)}
       217:{1,3,6,7}:{(183,1),(184,1),(187,1),(196,1),(248,1),(306,1)}
       218:{1,3,5,7}:{(185,1),(188,1),(240,1),(249,1),(250,1),(288,1)}
       219:{1,4,7}:{(186,1),(189,1),(241,1)}
       220:{2,5,7}:{(187,1),(190,1),(243,1),(248,1),(251,1)}
       221:{1,4,5}:{(188,1),(189,1),(244,1),(310,1)}
       222:{1,5,6}:{(190,1),(200,1),(247,1),(251,1),(256,1),(310,1),(314,1)}
       223:{1,4}:{(191,1),(193,1)}
       224:{1,3,5}:{(192,1),(194,1),(239,1),(252,1),(253,1),(294,1)}
       225:{3,4}:{(193,1),(194,1)}
       226:{2,3,5}:{(194,1),(195,1),(246,1),(254,1),(255,1)}
       227:{1,4,5}:{(195,1),(200,1),(247,1),(255,1),(257,1),(291,1),(310,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(290,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(209,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(210,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(211,1),(261,1),(262,1),(270,1),(297,1),(303,1)}
       237:{1,5}:{(206,1),(213,1)}
       238:{1,4,6}:{(207,1),(214,1),(223,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(215,1),(224,1),(262,1),(265,1)}
       240:{2,5,7}:{(209,1),(213,1),(218,1),(260,1),(266,1)}
       241:{2,4,7}:{(210,1),(214,1),(219,1),(261,1),(268,1)}
       242:{3,7}:{(211,1),(215,1)}
       243:{2,4,7}:{(212,1),(216,1),(220,1),(269,1),(270,1),(303,1)}
       244:{2,4,5}:{(213,1),(214,1),(221,1),(263,1),(271,1),(299,1)}
       245:{3,4,6}:{(214,1),(215,1),(225,1),(268,1),(271,1),(302,1)}
       246:{2,3,6}:{(215,1),(216,1),(226,1),(269,1),(272,1)}
       247:{1,4,6}:{(216,1),(222,1),(227,1),(270,1),(272,1)}
       248:{2,6,7}:{(217,1),(220,1),(228,1),(273,1),(312,1)}
       249:{1,3,5,6}:{(218,1),(266,1),(274,1),(302,1)}
       250:{1,4,5,7}:{(218,1),(219,1),(221,1),(267,1),(274,1),(313,1)}
       251:{1,5,7}:{(220,1),(222,1),(270,1),(273,1)}
       252:{1,3,4}:{(223,1),(224,1),(225,1),(275,1)}
       253:{2,3,5}:{(224,1),(265,1),(275,1),(276,1),(278,1),(299,1),(305,1)}
       254:{2,3,4}:{(225,1),(226,1),(230,1),(275,1),(277,1),(305,1)}
       255:{1,3,5}:{(226,1),(227,1),(272,1),(277,1),(278,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(278,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(303,1)}
       260:{1,5,7}:{(234,1),(237,1),(240,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(241,1)}
       262:{1,3,7}:{(236,1),(239,1),(242,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(244,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(245,1),(252,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(253,1),(283,1),(285,1),(286,1),(290,1)}
       266:{2,5,6}:{(240,1),(249,1),(280,1),(287,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(244,1),(250,1),(281,1),(287,1),(288,1),(307,1)}
       268:{3,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       269:{2,3,7}:{(242,1),(243,1),(246,1),(289,1)}
       270:{1,4,7}:{(243,1),(247,1),(251,1),(289,1)}
       271:{3,5}:{(244,1),(245,1)}
       272:{1,3,6}:{(246,1),(247,1),(255,1),(289,1),(290,1)}
       273:{1,6,7}:{(248,1),(251,1),(256,1),(314,1)}
       274:{1,4,6}:{(249,1),(250,1),(287,1),(314,1)}
       275:{2,4}:{(252,1),(253,1),(291,1)}
       276:{1,3,5}:{(253,1),(286,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(254,1),(255,1),(257,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(255,1),(290,1),(293,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(266,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(267,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(268,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(303,1)}
       284:{1,3,5}:{(263,1),(264,1),(271,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(275,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(276,1),(298,1),(300,1),(301,1)}
       287:{2,4,6}:{(266,1),(267,1),(274,1),(295,1),(302,1),(312,1)}
       288:{3,5,7}:{(267,1),(268,1),(271,1),(302,1)}
       289:{1,3,7}:{(269,1),(270,1),(272,1),(303,1)}
       290:{2,6}:{(272,1),(278,1),(303,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(301,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(287,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(288,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(291,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(290,1),(292,1),(309,1)}
       302:{3,6}:{(287,1),(288,1)}
       303:{2,7}:{(289,1),(290,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(302,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(303,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 823 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 824 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 825 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(19,1),(60,1),(121,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(23,1),(24,1),(26,1),(52,1),(60,1)}
         2:{2,6,7}:{(0,1),(7,1),(10,1),(82,1),(137,1)}
         3:{2,5,6}:{(1,1),(8,1),(10,1),(11,1),(42,1),(82,1)}
         4:{1,4,6,7}:{(0,1),(9,1),(12,1),(14,1),(40,1),(64,1),(104,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(14,1),(34,1),(38,1)}
         6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1),(73,1),(74,1)}
         7:{1,6,7}:{(2,1),(17,1),(102,1),(149,1)}
         8:{1,5,6}:{(3,1),(17,1),(18,1),(62,1),(102,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(22,1),(45,1),(53,1),(55,1),(86,1)}
        10:{2,5,7}:{(2,1),(3,1),(5,1),(17,1),(22,1)}
        11:{2,4,6}:{(3,1),(6,1),(18,1),(21,1),(22,1),(23,1),(51,1)}
        12:{1,5,7}:{(4,1),(20,1),(24,1)}
        13:{1,4,5}:{(6,1),(21,1),(26,1),(92,1),(94,1),(97,1),(168,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(53,1),(93,1)}
        15:{1,3,4,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(54,1),(59,1),(60,1),(95,1),(97,1),(131,1),(133,1),(156,1),(168,1)}
        16:{1,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(67,1),(69,1)}
        17:{1,5,7}:{(7,1),(8,1),(10,1),(32,1)}
        18:{1,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        19:{3,6,7}:{(9,1),(34,1),(38,1),(77,1),(106,1)}
        20:{2,5,7}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        21:{2,4,5}:{(11,1),(13,1),(31,1),(37,1),(42,1),(71,1),(76,1),(117,1)}
        22:{2,4,7}:{(10,1),(11,1),(14,1),(32,1),(38,1),(72,1)}
        23:{3,6}:{(11,1),(37,1),(38,1)}
        24:{1,5,6}:{(12,1),(35,1),(40,1),(144,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(14,1),(36,1),(40,1),(41,1),(104,1),(113,1),(116,1),(135,1),(144,1)}
        26:{1,3,5}:{(13,1),(15,1),(37,1),(42,1),(114,1),(144,1),(163,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(38,1),(41,1),(43,1),(75,1),(80,1),(116,1),(146,1),(157,1)}
        28:{2,4,6}:{(15,1),(39,1),(42,1),(43,1),(44,1),(76,1),(81,1),(82,1),(117,1)}
        29:{1,3,6,7}:{(16,1),(19,1),(45,1),(46,1),(50,1),(90,1)}
        30:{1,5,7}:{(16,1),(20,1),(47,1)}
        31:{1,4,5}:{(18,1),(21,1),(49,1),(62,1),(97,1)}
        32:{1,4,7}:{(17,1),(18,1),(22,1),(50,1)}
        33:{1,3,6}:{(18,1),(23,1),(49,1),(50,1),(51,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1),(53,1)}
        35:{2,5,6}:{(20,1),(24,1),(47,1),(52,1),(55,1),(130,1),(155,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(53,1),(55,1),(56,1),(61,1),(86,1),(91,1),(94,1),(96,1),(122,1),(130,1),(132,1),(155,1),(168,1)}
        37:{3,5}:{(21,1),(23,1),(54,1),(133,1)}
        38:{3,7}:{(22,1),(23,1)}
        39:{2,3,6}:{(23,1),(28,1),(51,1),(57,1),(58,1),(59,1),(133,1),(156,1)}
        40:{1,4,6}:{(24,1),(25,1),(55,1),(60,1),(129,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(27,1),(56,1),(60,1),(61,1),(121,1),(147,1)}
        42:{2,5}:{(26,1),(28,1),(62,1)}
        43:{2,4,7}:{(27,1),(28,1),(58,1),(61,1),(63,1),(101,1),(164,1)}
        44:{1,4,6}:{(28,1),(59,1),(62,1),(63,1),(97,1),(102,1)}
        45:{2,6,7}:{(29,1),(64,1),(65,1),(72,1),(112,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(34,1),(65,1),(66,1),(67,1),(106,1)}
        47:{1,5,6}:{(30,1),(35,1),(69,1),(144,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(83,1),(108,1),(116,1),(144,1)}
        49:{1,3,5}:{(31,1),(33,1),(37,1),(68,1),(71,1)}
        50:{1,3,7}:{(32,1),(33,1),(38,1),(72,1)}
        51:{2,6}:{(33,1),(71,1),(72,1),(73,1)}
        52:{3,5,6}:{(34,1),(35,1),(74,1),(77,1),(114,1),(163,1)}
        53:{4,7}:{(34,1),(74,1)}
        54:{3,4}:{(37,1),(76,1)}
        55:{2,4,6}:{(35,1),(36,1),(40,1),(69,1),(74,1),(77,1),(82,1),(112,1)}
        56:{3,5,7}:{(36,1),(37,1),(38,1),(75,1),(77,1),(106,1),(114,1),(138,1),(146,1),(163,1)}
        57:{2,3,5}:{(37,1),(39,1),(42,1),(71,1),(76,1),(79,1),(107,1),(163,1)}
        58:{2,3,7}:{(38,1),(39,1),(43,1),(72,1),(80,1),(146,1),(169,1)}
        59:{1,3,6}:{(39,1),(44,1),(73,1),(79,1),(80,1),(81,1)}
        60:{1,3,6}:{(40,1),(41,1),(77,1),(82,1)}
        61:{2,5,7}:{(41,1),(42,1),(43,1),(82,1),(83,1),(137,1),(158,1)}
        62:{1,5}:{(42,1),(44,1)}
        63:{1,4,7}:{(43,1),(44,1),(80,1),(83,1),(170,1)}
        64:{1,6,7}:{(45,1),(84,1),(93,1),(129,1)}
        65:{2,5,7}:{(45,1),(46,1),(84,1),(85,1),(86,1)}
        66:{1,3,5,6}:{(46,1),(47,1),(52,1),(85,1),(87,1),(90,1),(123,1),(126,1)}
        67:{1,4,7}:{(46,1),(53,1),(86,1),(87,1),(149,1)}
        68:{1,3,4}:{(49,1),(54,1),(89,1),(97,1),(125,1),(133,1)}
        69:{1,4,6}:{(47,1),(48,1),(55,1),(90,1),(102,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(56,1),(88,1),(90,1),(91,1),(126,1)}
        71:{2,5}:{(49,1),(51,1),(89,1),(92,1)}
        72:{2,7}:{(50,1),(51,1),(93,1)}
        73:{1,6}:{(51,1),(92,1),(93,1)}
        74:{4,6}:{(52,1),(53,1),(94,1),(168,1)}
        75:{3,4,7}:{(53,1),(54,1),(56,1),(95,1),(96,1),(150,1),(168,1)}
        76:{2,4}:{(54,1),(57,1),(97,1),(168,1)}
        77:{3,6}:{(55,1),(56,1)}
        78:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(91,1),(96,1),(98,1),(99,1),(124,1),(130,1),(151,1)}
        79:{1,3,5}:{(57,1),(59,1),(62,1),(92,1),(97,1),(100,1),(125,1),(133,1)}
        80:{1,3,7}:{(58,1),(59,1),(63,1),(93,1),(101,1),(172,1)}
        81:{2,6}:{(59,1),(100,1),(101,1)}
        82:{2,6}:{(60,1),(61,1),(102,1)}
        83:{1,5,7}:{(61,1),(62,1),(63,1),(102,1),(149,1),(165,1)}
        84:{1,5,7}:{(64,1),(65,1),(103,1),(104,1)}
        85:{2,5,6}:{(65,1),(66,1),(103,1),(105,1),(112,1),(142,1)}
        86:{2,4,7}:{(65,1),(67,1),(104,1),(105,1),(106,1),(137,1)}
        87:{1,4,6}:{(66,1),(67,1),(74,1),(105,1),(108,1),(159,1)}
        88:{1,3,4,7}:{(67,1),(68,1),(70,1),(75,1),(106,1),(109,1),(110,1),(116,1),(140,1),(146,1)}
        89:{2,4}:{(68,1),(71,1),(107,1),(111,1),(141,1)}
        90:{1,3,6}:{(69,1),(70,1),(77,1),(112,1)}
        91:{2,5,7}:{(70,1),(71,1),(72,1),(110,1),(112,1),(113,1),(142,1)}
        92:{1,5}:{(71,1),(73,1),(111,1)}
        93:{1,7}:{(72,1),(73,1)}
        94:{4,5}:{(74,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(77,1),(114,1),(115,1)}
        96:{2,4,7}:{(75,1),(76,1),(78,1),(115,1),(116,1),(160,1)}
        97:{1,4}:{(76,1),(79,1),(117,1)}
        98:{2,3,6}:{(77,1),(78,1),(82,1),(112,1),(115,1),(118,1)}
        99:{1,3,5,7}:{(78,1),(79,1),(80,1),(83,1),(113,1),(116,1),(118,1),(119,1),(140,1),(144,1),(146,1),(161,1),(163,1)}
       100:{2,5}:{(79,1),(81,1),(117,1),(141,1)}
       101:{2,7}:{(80,1),(81,1),(174,1)}
       102:{1,6}:{(82,1),(83,1)}
       103:{1,5,6}:{(84,1),(85,1),(120,1),(129,1),(154,1)}
       104:{1,4,7}:{(84,1),(86,1),(120,1),(121,1)}
       105:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1),(148,1)}
       106:{3,7}:{(86,1),(123,1)}
       107:{2,3}:{(89,1),(125,1),(133,1)}
       108:{1,4,5}:{(87,1),(94,1),(122,1),(126,1),(165,1),(166,1),(168,1)}
       109:{1,3,4,6}:{(87,1),(88,1),(90,1),(95,1),(123,1),(126,1),(127,1),(131,1),(150,1),(152,1),(156,1),(166,1),(168,1),(173,1)}
       110:{2,4,7}:{(88,1),(89,1),(91,1),(124,1),(127,1),(128,1),(153,1)}
       111:{1,4}:{(89,1),(92,1),(125,1)}
       112:{2,6}:{(90,1),(91,1),(129,1)}
       113:{1,5,7}:{(91,1),(92,1),(93,1),(128,1),(129,1),(154,1)}
       114:{3,5}:{(94,1),(95,1),(130,1)}
       115:{2,4,6}:{(95,1),(96,1),(98,1),(130,1),(131,1)}
       116:{1,4,7}:{(96,1),(97,1),(99,1),(131,1),(132,1),(166,1),(168,1)}
       117:{2,4}:{(97,1),(100,1),(133,1)}
       118:{1,3,6}:{(98,1),(99,1),(102,1),(129,1),(131,1),(134,1),(156,1)}
       119:{2,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1),(153,1),(155,1),(167,1)}
       120:{1,4,6}:{(103,1),(104,1),(105,1),(135,1),(136,1)}
       121:{1,3,7}:{(104,1),(106,1),(136,1),(137,1)}
       122:{2,4,5}:{(105,1),(108,1),(135,1),(138,1),(142,1),(158,1),(160,1),(171,1)}
       123:{3,6}:{(105,1),(106,1),(138,1)}
       124:{2,3,7}:{(106,1),(107,1),(110,1),(137,1),(139,1),(140,1),(146,1)}
       125:{1,3}:{(107,1),(111,1),(141,1)}
       126:{1,3,5}:{(108,1),(109,1),(114,1),(138,1),(142,1),(144,1),(163,1)}
       127:{2,4,6}:{(109,1),(110,1),(112,1),(139,1),(142,1),(143,1),(160,1),(162,1),(171,1)}
       128:{1,4,7}:{(110,1),(111,1),(113,1),(140,1),(143,1)}
       129:{1,6}:{(112,1),(113,1)}
       130:{2,5}:{(114,1),(115,1),(144,1)}
       131:{1,4,6}:{(115,1),(116,1),(118,1),(144,1),(145,1)}
       132:{2,4,7}:{(116,1),(117,1),(119,1),(145,1),(146,1),(171,1)}
       133:{3}:{(117,1)}
       134:{2,6}:{(118,1),(119,1)}
       135:{1,4,5}:{(120,1),(122,1),(147,1),(154,1),(166,1)}
       136:{1,3,6}:{(120,1),(121,1),(123,1),(147,1),(148,1)}
       137:{2,7}:{(121,1),(148,1),(149,1)}
       138:{3,5}:{(122,1),(123,1),(150,1),(173,1)}
       139:{2,3,6}:{(123,1),(124,1),(127,1),(148,1),(151,1),(152,1),(156,1),(173,1)}
       140:{1,3,7}:{(124,1),(125,1),(128,1),(149,1),(152,1),(153,1)}
       141:{2}:{(125,1)}
       142:{2,5}:{(126,1),(127,1),(154,1)}
       143:{1,4,6}:{(127,1),(128,1),(129,1),(152,1),(154,1),(166,1)}
       144:{1,5}:{(130,1),(131,1),(155,1)}
       145:{2,4,6}:{(131,1),(132,1),(134,1),(155,1),(156,1),(168,1)}
       146:{3,7}:{(132,1),(133,1),(156,1),(173,1)}
       147:{1,3,5}:{(135,1),(136,1),(138,1),(157,1),(158,1)}
       148:{2,6}:{(136,1),(137,1),(158,1),(159,1)}
       149:{1,7}:{(137,1),(159,1)}
       150:{3,4}:{(138,1),(160,1)}
       151:{2,3,5}:{(138,1),(139,1),(142,1),(158,1),(160,1),(161,1),(163,1),(169,1)}
       152:{1,3,6}:{(139,1),(140,1),(143,1),(159,1),(161,1),(162,1)}
       153:{2,7}:{(140,1),(141,1),(162,1)}
       154:{1,5}:{(142,1),(143,1)}
       155:{2,5}:{(144,1),(145,1),(163,1)}
       156:{3,6}:{(145,1),(146,1),(163,1)}
       157:{1,3,4}:{(147,1),(150,1),(164,1),(166,1),(172,1),(173,1)}
       158:{2,5}:{(147,1),(148,1),(164,1),(165,1)}
       159:{1,6}:{(148,1),(149,1),(165,1)}
       160:{2,4}:{(150,1),(151,1),(166,1),(168,1)}
       161:{1,3,5}:{(151,1),(152,1),(154,1),(165,1),(166,1),(167,1),(172,1),(173,1)}
       162:{2,6}:{(152,1),(153,1),(167,1)}
       163:{3,5}:{(155,1),(156,1),(168,1)}
       164:{2,4}:{(157,1),(158,1),(169,1),(170,1),(174,1)}
       165:{1,5}:{(158,1),(159,1),(170,1)}
       166:{1,4}:{(160,1),(161,1),(171,1)}
       167:{2,5}:{(161,1),(162,1),(171,1),(174,1)}
       168:{4}:{(163,1)}
       169:{2,3}:{(164,1),(172,1),(173,1)}
       170:{1,4}:{(164,1),(165,1),(172,1)}
       171:{2,4}:{(166,1),(167,1),(173,1)}
       172:{1,3}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{2}:{(172,1)}

 826 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 827 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 828 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 829 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(32,1),(39,1),(41,1),(47,1),(73,1),(74,1),(95,1),(140,1),(150,1),(209,1),(215,1),(231,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(22,1),(104,1),(132,1),(175,1),(186,1),(246,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(7,1),(20,1),(28,1),(54,1),(107,1),(131,1),(181,1),(258,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(47,1),(102,1),(209,1),(219,1)}
         4:{2,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(39,1),(74,1),(78,1),(149,1)}
         5:{1,3,6}:{(1,1),(2,1),(12,1),(166,1),(216,1)}
         6:{1,2,4,6,7}:{(2,1),(13,1),(15,1),(38,1),(47,1),(84,1),(143,1),(215,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(15,1),(39,1),(85,1),(94,1),(140,1),(144,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(57,1),(66,1),(114,1),(115,1),(116,1),(132,1),(182,1),(184,1),(186,1),(189,1),(246,1),(253,1),(290,1)}
         9:{2,4,7}:{(3,1),(4,1),(19,1),(20,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(20,1),(22,1),(28,1),(72,1)}
        11:{1,3,5,7}:{(4,1),(19,1),(23,1),(24,1),(59,1),(62,1),(126,1)}
        12:{2,3,6}:{(4,1),(5,1),(20,1),(24,1),(107,1)}
        13:{1,3,6,7}:{(5,1),(6,1),(25,1),(27,1),(246,1),(258,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(22,1),(26,1),(27,1),(28,1),(175,1),(200,1),(202,1),(258,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(27,1),(63,1),(120,1),(180,1),(259,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(102,1),(141,1),(147,1),(169,1),(219,1),(271,1),(272,1),(298,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(39,1),(74,1),(81,1),(86,1),(141,1),(147,1),(150,1),(212,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(33,1),(35,1),(75,1),(97,1),(146,1),(148,1),(166,1),(216,1),(277,1),(303,1)}
        19:{1,4,7}:{(9,1),(11,1),(37,1),(161,1)}
        20:{2,4,6}:{(9,1),(10,1),(12,1),(37,1),(39,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(38,1),(40,1),(47,1),(97,1),(102,1),(166,1)}
        22:{1,3,5}:{(10,1),(39,1),(41,1),(96,1)}
        23:{1,2,5,7}:{(11,1),(36,1),(42,1),(74,1),(91,1),(313,1)}
        24:{1,3,6}:{(11,1),(12,1),(37,1),(42,1)}
        25:{2,3,6,7}:{(12,1),(13,1),(38,1),(43,1),(45,1),(143,1),(166,1),(230,1)}
        26:{2,3,5,6}:{(12,1),(14,1),(39,1),(44,1),(45,1),(46,1),(94,1),(96,1),(144,1),(149,1),(165,1),(166,1),(168,1),(216,1),(230,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(15,1),(45,1),(47,1),(231,1),(232,1)}
        28:{1,4,6}:{(14,1),(41,1),(46,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(132,1),(186,1),(199,1),(246,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(19,1),(48,1),(50,1),(51,1),(59,1),(104,1),(171,1),(182,1),(203,1),(246,1),(291,1),(309,1)}
        31:{2,3,4,6}:{(16,1),(20,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(177,1),(185,1),(245,1),(247,1),(250,1),(284,1)}
        32:{1,4,5,7}:{(17,1),(19,1),(48,1),(54,1),(62,1),(114,1),(120,1),(171,1),(182,1),(235,1)}
        33:{2,4,6}:{(17,1),(18,1),(49,1),(54,1),(56,1),(107,1)}
        34:{1,3,4,6,7}:{(18,1),(55,1),(57,1),(108,1),(125,1),(182,1),(184,1),(195,1),(246,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(56,1),(57,1),(58,1),(124,1),(189,1)}
        36:{1,2,4,7}:{(19,1),(23,1),(50,1),(59,1),(60,1),(309,1),(310,1)}
        37:{1,4,6}:{(19,1),(20,1),(24,1),(62,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(25,1),(61,1),(63,1),(71,1),(131,1)}
        39:{2,5}:{(20,1),(22,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1),(132,1)}
        41:{1,4,5}:{(22,1),(28,1),(64,1),(200,1)}
        42:{1,2,6}:{(23,1),(24,1),(107,1),(314,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(61,1),(67,1),(69,1),(198,1)}
        44:{1,3,5,6}:{(24,1),(26,1),(62,1),(68,1),(69,1),(70,1),(126,1),(128,1),(130,1),(134,1),(198,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(27,1),(63,1),(69,1),(71,1),(132,1),(180,1),(199,1),(201,1),(246,1)}
        46:{2,4,6}:{(26,1),(28,1),(64,1),(70,1),(71,1),(72,1),(185,1)}
        47:{1,4,7}:{(27,1),(28,1),(71,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(74,1),(75,1),(80,1),(231,1),(313,1)}
        49:{2,3,6}:{(29,1),(33,1),(75,1),(166,1),(216,1),(230,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(74,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(37,1),(75,1),(79,1),(80,1),(90,1),(139,1),(146,1),(161,1),(170,1),(204,1),(209,1),(216,1),(219,1),(273,1),(275,1),(299,1)}
        52:{2,3,5}:{(31,1),(39,1),(80,1),(81,1),(96,1),(165,1),(212,1),(270,1),(297,1)}
        53:{1,2,4,5,7}:{(32,1),(36,1),(74,1),(82,1),(83,1),(91,1),(141,1),(150,1),(155,1),(161,1),(212,1),(215,1),(223,1),(224,1),(269,1),(313,1)}
        54:{1,4,6}:{(32,1),(33,1),(75,1),(85,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(76,1),(84,1),(86,1),(143,1),(147,1),(215,1)}
        56:{2,5,6}:{(33,1),(35,1),(39,1),(85,1),(86,1),(212,1)}
        57:{1,3,5,7}:{(34,1),(35,1),(86,1),(89,1),(160,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(87,1),(89,1),(97,1),(146,1),(223,1),(227,1),(277,1)}
        59:{1,3,7}:{(36,1),(78,1),(90,1)}
        60:{1,2,4,6}:{(36,1),(37,1),(42,1),(79,1),(90,1),(91,1),(161,1),(299,1),(301,1),(302,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(92,1),(100,1),(163,1)}
        62:{1,5}:{(37,1),(39,1)}
        63:{2,5,7}:{(38,1),(39,1),(40,1),(92,1),(94,1)}
        64:{2,4,5}:{(39,1),(41,1),(46,1),(93,1),(96,1),(165,1)}
        65:{1,3,5,6}:{(40,1),(94,1),(97,1),(166,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(47,1),(95,1),(97,1),(231,1)}
        67:{1,2,6,7}:{(42,1),(43,1),(98,1),(143,1),(230,1),(278,1)}
        68:{1,2,5,6}:{(42,1),(44,1),(91,1),(98,1),(99,1),(144,1),(165,1),(227,1),(230,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(100,1),(167,1)}
        70:{1,4,6}:{(44,1),(46,1),(93,1),(100,1),(161,1)}
        71:{2,4,7}:{(45,1),(46,1),(47,1),(100,1),(102,1)}
        72:{3,4,6}:{(46,1),(96,1),(102,1),(166,1),(216,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(171,1),(203,1),(259,1)}
        74:{2,5,7}:{(48,1),(50,1),(107,1),(113,1)}
        75:{1,3,6}:{(48,1),(49,1),(54,1),(107,1),(258,1),(314,1)}
        76:{2,3,6,7}:{(49,1),(55,1),(108,1),(110,1),(195,1),(246,1),(254,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(56,1),(109,1),(110,1),(111,1),(124,1),(194,1),(247,1)}
        78:{2,3,7}:{(50,1),(59,1),(104,1),(112,1),(246,1)}
        79:{2,4,6}:{(50,1),(51,1),(107,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(62,1),(113,1),(114,1),(186,1),(200,1),(235,1),(308,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,7}:{(53,1),(59,1),(106,1),(116,1),(117,1),(126,1),(186,1),(189,1),(246,1),(290,1)}
        83:{1,2,4,6}:{(53,1),(54,1),(107,1),(117,1),(119,1),(177,1),(181,1),(191,1),(289,1),(314,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(108,1),(120,1),(182,1)}
        85:{1,5,6}:{(54,1),(56,1),(62,1),(120,1),(235,1)}
        86:{2,5,7}:{(55,1),(56,1),(57,1),(120,1)}
        87:{2,4,5,6}:{(56,1),(58,1),(64,1),(111,1),(121,1),(123,1),(124,1),(131,1),(181,1),(194,1),(243,1),(289,1)}
        88:{1,3,5,6,7}:{(57,1),(65,1),(122,1),(125,1),(195,1),(252,1)}
        89:{1,4,5,7}:{(57,1),(58,1),(123,1),(125,1),(182,1),(255,1)}
        90:{1,3,6}:{(59,1),(60,1),(112,1),(126,1),(311,1)}
        91:{1,2,5}:{(60,1),(62,1),(113,1),(126,1),(308,1)}
        92:{1,5,7}:{(61,1),(62,1),(63,1),(128,1)}
        93:{1,4,5}:{(62,1),(64,1),(70,1),(130,1)}
        94:{2,5,6}:{(63,1),(65,1),(128,1),(131,1)}
        95:{2,4,5,7}:{(63,1),(64,1),(66,1),(71,1),(129,1),(131,1),(132,1),(199,1)}
        96:{3,5}:{(64,1),(72,1)}
        97:{1,4,6}:{(65,1),(66,1),(131,1),(258,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(133,1),(180,1),(199,1),(255,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(127,1),(133,1),(134,1),(136,1),(181,1),(249,1),(292,1)}
       100:{1,4,7}:{(69,1),(70,1),(71,1)}
       101:{1,3,4,6}:{(70,1),(72,1),(130,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       102:{3,4,7}:{(71,1),(72,1),(132,1),(246,1)}
       103:{1,2,5,7}:{(73,1),(74,1),(137,1),(138,1),(140,1),(231,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(204,1),(209,1),(233,1),(279,1)}
       106:{2,3,5,7}:{(74,1),(78,1),(82,1),(137,1),(141,1),(142,1),(149,1),(212,1)}
       107:{2,6}:{(74,1),(75,1)}
       108:{1,3,6,7}:{(75,1),(76,1),(84,1),(143,1),(145,1),(278,1)}
       109:{1,3,5,6}:{(75,1),(77,1),(80,1),(85,1),(144,1),(145,1),(146,1),(216,1),(227,1),(273,1)}
       110:{2,3,5,7}:{(76,1),(77,1),(86,1),(145,1),(147,1),(160,1),(226,1),(272,1)}
       111:{2,4,6}:{(77,1),(81,1),(146,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(90,1),(139,1),(149,1),(216,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(146,1),(150,1),(161,1),(209,1)}
       115:{3,4,5}:{(81,1),(96,1),(148,1),(219,1),(270,1)}
       116:{1,3,4,7}:{(82,1),(141,1),(152,1),(161,1),(219,1),(224,1),(271,1)}
       117:{1,3,6}:{(82,1),(83,1),(142,1),(216,1),(303,1)}
       118:{1,2,4,6,7}:{(83,1),(84,1),(143,1),(153,1),(155,1),(211,1),(215,1),(224,1)}
       119:{1,2,5,6}:{(83,1),(85,1),(91,1),(144,1),(154,1),(155,1),(212,1),(268,1),(301,1)}
       120:{1,5,7}:{(84,1),(85,1),(86,1)}
       121:{1,4,5,6}:{(85,1),(87,1),(93,1),(146,1),(157,1),(158,1),(163,1),(261,1),(295,1)}
       122:{2,5,6,7}:{(86,1),(88,1),(94,1),(156,1),(159,1),(268,1)}
       123:{2,4,5,7}:{(86,1),(87,1),(89,1),(147,1),(157,1),(159,1),(160,1),(215,1),(226,1)}
       124:{3,5,6}:{(87,1),(96,1),(148,1),(160,1),(166,1),(216,1),(270,1),(303,1)}
       125:{1,4,6,7}:{(88,1),(89,1),(97,1),(159,1),(277,1),(278,1)}
       126:{1,3,5}:{(90,1),(91,1),(149,1),(161,1)}
       127:{1,2,4,5}:{(91,1),(93,1),(99,1),(150,1),(161,1),(162,1),(165,1),(221,1),(228,1),(276,1),(302,1)}
       128:{1,5,6}:{(92,1),(94,1),(163,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(100,1),(163,1),(164,1)}
       130:{1,3,5}:{(93,1),(96,1),(101,1),(165,1)}
       131:{2,4,6}:{(94,1),(95,1),(97,1),(163,1),(166,1),(230,1)}
       132:{3,5,7}:{(95,1),(96,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(100,1),(167,1),(169,1),(215,1),(274,1),(304,1)}
       134:{1,3,6}:{(99,1),(162,1),(167,1),(168,1),(216,1)}
       135:{1,3,4,7}:{(100,1),(101,1),(102,1),(164,1),(167,1),(169,1)}
       136:{2,4,6}:{(101,1),(165,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(106,1),(171,1),(172,1),(175,1),(235,1)}
       138:{1,2,6}:{(103,1),(107,1),(172,1),(258,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(235,1)}
       141:{2,4,7}:{(106,1),(116,1),(171,1),(177,1),(185,1)}
       142:{2,3,6}:{(106,1),(107,1),(117,1),(172,1),(177,1)}
       143:{2,6,7}:{(107,1),(108,1),(180,1)}
       144:{2,5,6}:{(107,1),(109,1),(113,1),(180,1),(181,1),(292,1)}
       145:{1,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(180,1),(182,1),(246,1),(255,1),(291,1)}
       146:{1,4,6}:{(109,1),(111,1),(114,1),(181,1),(182,1)}
       147:{2,4,7}:{(110,1),(111,1),(182,1),(184,1)}
       148:{3,4,6}:{(111,1),(115,1),(124,1),(184,1)}
       149:{2,3,5}:{(112,1),(113,1),(126,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(181,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(130,1),(183,1),(186,1),(187,1),(196,1),(240,1),(251,1),(282,1)}
       152:{1,3,4,6}:{(116,1),(117,1),(177,1),(189,1),(191,1),(245,1)}
       153:{1,3,6,7}:{(117,1),(118,1),(178,1),(190,1),(246,1),(314,1)}
       154:{1,3,5,6}:{(117,1),(119,1),(126,1),(179,1),(189,1),(190,1),(191,1),(286,1),(308,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(120,1),(180,1),(190,1),(242,1),(310,1)}
       156:{1,5,6,7}:{(120,1),(122,1),(128,1),(192,1),(280,1)}
       157:{1,4,5,7}:{(120,1),(121,1),(123,1),(182,1),(192,1),(193,1)}
       158:{1,3,5,6}:{(121,1),(124,1),(130,1),(183,1),(193,1),(194,1),(198,1),(282,1),(306,1)}
       159:{2,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(192,1),(195,1),(254,1),(289,1)}
       160:{3,5,7}:{(123,1),(124,1),(184,1),(195,1),(246,1)}
       161:{1,4}:{(126,1),(185,1)}
       162:{1,3,5}:{(127,1),(134,1),(186,1),(196,1),(197,1),(311,1)}
       163:{1,4,6}:{(128,1),(129,1),(131,1),(198,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(132,1),(135,1),(198,1),(199,1)}
       165:{2,5}:{(130,1),(136,1),(200,1)}
       166:{3,6}:{(131,1),(132,1)}
       167:{1,3,7}:{(133,1),(134,1),(201,1),(246,1)}
       168:{2,3,6}:{(134,1),(136,1),(197,1),(201,1),(202,1),(292,1)}
       169:{2,4,7}:{(135,1),(136,1),(199,1),(201,1),(203,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(258,1)}
       171:{1,4,7}:{(137,1),(141,1),(204,1),(209,1)}
       172:{1,3,6}:{(137,1),(138,1),(142,1),(204,1)}
       173:{1,2,6,7}:{(138,1),(143,1),(205,1),(207,1),(278,1),(312,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(144,1),(206,1),(207,1),(208,1),(227,1),(297,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(261,1),(266,1),(276,1),(279,1),(297,1)}
       177:{2,4,6}:{(141,1),(142,1),(152,1),(204,1),(212,1)}
       178:{2,3,6,7}:{(142,1),(143,1),(153,1),(205,1),(211,1),(213,1),(303,1),(312,1)}
       179:{2,3,5,6}:{(142,1),(144,1),(149,1),(154,1),(206,1),(212,1),(213,1),(214,1),(216,1),(265,1),(268,1),(270,1),(297,1),(303,1),(312,1)}
       180:{2,5,7}:{(143,1),(144,1),(145,1),(215,1),(304,1)}
       181:{2,4,6}:{(144,1),(146,1),(150,1),(215,1),(216,1)}
       182:{1,4,7}:{(145,1),(146,1),(147,1),(215,1)}
       183:{1,3,4,6}:{(146,1),(148,1),(151,1),(158,1),(216,1),(217,1),(218,1),(273,1)}
       184:{3,4,7}:{(147,1),(148,1),(160,1)}
       185:{2,4}:{(149,1),(161,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(216,1),(219,1)}
       187:{2,4,5}:{(151,1),(165,1),(218,1),(220,1),(221,1),(228,1),(266,1),(276,1),(297,1)}
       188:{1,3,4,6,7}:{(152,1),(153,1),(211,1),(222,1),(224,1),(271,1),(277,1),(303,1)}
       189:{1,3,5}:{(152,1),(212,1),(223,1),(270,1)}
       190:{1,3,5,7}:{(153,1),(154,1),(155,1),(213,1),(224,1),(300,1),(313,1)}
       191:{1,4,6}:{(154,1),(161,1),(214,1),(223,1),(224,1)}
       192:{1,4,6,7}:{(156,1),(157,1),(159,1),(163,1),(225,1),(295,1)}
       193:{1,3,5,7}:{(157,1),(158,1),(160,1),(217,1),(225,1),(226,1)}
       194:{2,5,6}:{(158,1),(165,1),(218,1),(226,1),(227,1),(230,1),(297,1),(312,1)}
       195:{3,6,7}:{(159,1),(160,1),(166,1),(303,1)}
       196:{1,3,4}:{(161,1),(162,1),(219,1),(228,1)}
       197:{2,3,5}:{(162,1),(165,1),(168,1),(228,1),(229,1),(276,1),(305,1)}
       198:{1,3,6}:{(163,1),(164,1),(166,1),(230,1)}
       199:{2,5,7}:{(164,1),(165,1),(169,1),(230,1),(231,1)}
       200:{1,5}:{(165,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,6}:{(168,1),(170,1),(229,1),(232,1),(233,1)}
       203:{1,4,7}:{(169,1),(170,1),(231,1),(232,1)}
       204:{1,4,6}:{(171,1),(172,1),(177,1),(235,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(178,1),(234,1),(236,1),(306,1)}
       206:{1,3,5,6}:{(172,1),(174,1),(175,1),(179,1),(235,1),(236,1),(237,1),(239,1),(280,1),(282,1),(306,1)}
       207:{1,2,5,7}:{(173,1),(174,1),(180,1),(236,1),(238,1),(255,1),(307,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(181,1),(237,1),(238,1),(239,1),(249,1),(284,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(178,1),(188,1),(234,1),(242,1),(244,1),(289,1)}
       212:{2,5}:{(177,1),(189,1),(235,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(180,1),(190,1),(236,1),(242,1),(244,1),(246,1),(285,1),(290,1),(307,1)}
       214:{2,4,6}:{(179,1),(185,1),(191,1),(237,1),(243,1),(244,1),(245,1)}
       215:{2,4,7}:{(180,1),(181,1),(182,1),(246,1)}
       216:{3,6}:{(181,1),(186,1),(246,1)}
       217:{1,3,4,7}:{(182,1),(183,1),(184,1),(193,1),(246,1),(248,1),(291,1)}
       218:{2,4,6}:{(183,1),(187,1),(194,1),(247,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(247,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(256,1),(287,1),(308,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(242,1),(252,1),(253,1),(290,1)}
       223:{1,4,5}:{(189,1),(191,1),(243,1),(308,1)}
       224:{1,4,7}:{(190,1),(191,1),(244,1)}
       225:{1,3,6,7}:{(192,1),(193,1),(195,1),(198,1),(254,1),(306,1)}
       226:{2,5,7}:{(193,1),(194,1),(248,1),(254,1),(255,1)}
       227:{1,5,6}:{(194,1),(200,1),(249,1),(255,1),(258,1),(308,1),(314,1)}
       228:{2,4}:{(196,1),(197,1),(256,1)}
       229:{1,3,5}:{(197,1),(200,1),(202,1),(256,1),(257,1),(294,1)}
       230:{2,6}:{(198,1),(199,1),(258,1)}
       231:{1,5,7}:{(199,1),(200,1),(203,1),(258,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(202,1),(257,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(205,1),(211,1),(260,1),(262,1),(295,1)}
       235:{1,5}:{(204,1),(212,1)}
       236:{1,3,5,7}:{(205,1),(206,1),(207,1),(213,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(206,1),(209,1),(214,1),(261,1),(262,1)}
       238:{1,2,4,7}:{(207,1),(208,1),(215,1),(262,1),(264,1),(274,1),(298,1),(304,1)}
       239:{1,3,6}:{(208,1),(210,1),(216,1),(264,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(297,1),(305,1)}
       242:{2,5,7}:{(211,1),(212,1),(222,1),(260,1),(268,1)}
       243:{2,4,5}:{(212,1),(214,1),(223,1),(261,1),(270,1),(297,1)}
       244:{2,4,7}:{(213,1),(214,1),(224,1),(262,1),(271,1)}
       245:{3,4,6}:{(214,1),(216,1),(219,1),(270,1),(271,1),(303,1)}
       246:{3,7}:{(215,1),(216,1)}
       247:{2,3,6}:{(216,1),(218,1),(220,1),(272,1),(273,1)}
       248:{2,4,7}:{(217,1),(218,1),(226,1),(272,1),(274,1),(304,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(273,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(228,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(273,1),(275,1),(276,1)}
       252:{1,3,5,6}:{(222,1),(268,1),(277,1),(303,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(224,1),(269,1),(277,1),(313,1)}
       254:{2,6,7}:{(225,1),(226,1),(230,1),(278,1),(312,1)}
       255:{1,5,7}:{(226,1),(227,1),(274,1),(278,1)}
       256:{1,4}:{(228,1),(229,1)}
       257:{1,2,5}:{(229,1),(233,1),(276,1),(279,1)}
       258:{1,6}:{(230,1),(231,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(235,1),(242,1),(280,1)}
       261:{1,4,5}:{(235,1),(237,1),(243,1),(282,1)}
       262:{1,4,7}:{(236,1),(237,1),(244,1)}
       263:{1,3,4,6}:{(237,1),(239,1),(240,1),(245,1),(282,1),(283,1),(284,1),(306,1)}
       264:{1,3,7}:{(238,1),(239,1),(246,1),(285,1)}
       265:{2,3,6}:{(239,1),(241,1),(284,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(308,1),(311,1)}
       268:{2,5,6}:{(242,1),(252,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(244,1),(253,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,5}:{(243,1),(245,1)}
       271:{3,4,7}:{(244,1),(245,1),(246,1),(290,1)}
       272:{2,3,7}:{(246,1),(247,1),(248,1),(291,1)}
       273:{1,3,6}:{(247,1),(249,1),(251,1),(291,1),(292,1)}
       274:{1,4,7}:{(248,1),(249,1),(255,1),(291,1)}
       275:{1,3,4}:{(250,1),(251,1),(256,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,4,6}:{(252,1),(253,1),(289,1),(314,1)}
       278:{1,6,7}:{(254,1),(255,1),(258,1),(314,1)}
       279:{1,2,4}:{(256,1),(257,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(262,1),(269,1),(295,1),(296,1)}
       282:{1,3,5}:{(261,1),(263,1),(270,1),(297,1)}
       283:{1,3,4,7}:{(262,1),(263,1),(264,1),(271,1),(296,1),(298,1)}
       284:{2,4,6}:{(263,1),(265,1),(266,1),(297,1),(298,1),(299,1),(312,1)}
       285:{2,3,7}:{(264,1),(265,1),(298,1),(300,1),(304,1)}
       286:{1,3,6}:{(265,1),(267,1),(299,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(277,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(271,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(274,1),(304,1)}
       292:{2,6}:{(273,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(283,1),(290,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(284,1),(308,1)}
       298:{2,4,7}:{(283,1),(284,1),(285,1),(307,1),(309,1)}
       299:{1,4,6}:{(284,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(309,1),(310,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(310,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(298,1),(312,1),(313,1)}
       308:{1,5}:{(297,1),(299,1)}
       309:{1,4,7}:{(298,1),(299,1),(300,1),(313,1)}
       310:{1,2,7}:{(300,1),(301,1),(304,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 830 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(72,1),(130,1),(149,1),(158,1),(217,1),(227,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(21,1),(25,1),(71,1),(72,1),(127,1),(138,1),(217,1),(234,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(11,1),(43,1),(89,1),(112,1),(113,1),(167,1),(262,1),(264,1),(343,1),(395,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(11,1),(12,1),(45,1),(107,1),(184,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(12,1),(13,1),(111,1),(177,1),(198,1),(273,1)}
         5:{1,3,5}:{(1,1),(10,1),(11,1),(14,1),(173,1),(278,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(79,1),(121,1),(156,1),(209,1),(219,1),(227,1),(250,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(26,1),(57,1),(61,1),(72,1),(121,1),(143,1),(144,1),(158,1),(219,1),(227,1),(238,1),(309,1),(324,1),(381,1),(382,1)}
         8:{1,4,6}:{(2,1),(18,1),(21,1),(23,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(23,1),(24,1),(27,1),(77,1),(131,1),(218,1)}
        10:{1,3,4}:{(5,1),(25,1),(304,1),(319,1)}
        11:{1,3,6}:{(3,1),(5,1),(26,1),(27,1),(309,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(27,1),(76,1),(154,1),(232,1),(310,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(158,1),(245,1),(306,1),(316,1)}
        14:{2,3,5}:{(5,1),(25,1),(26,1),(28,1),(72,1),(138,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(29,1),(30,1),(32,1),(49,1),(82,1),(110,1),(169,1),(170,1),(203,1),(205,1),(292,1),(360,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(31,1),(32,1),(33,1),(84,1),(252,1),(268,1),(330,1)}
        17:{1,2,5,7}:{(6,1),(30,1),(33,1),(34,1),(117,1),(168,1),(255,1),(273,1)}
        18:{2,4,6}:{(7,1),(8,1),(29,1),(35,1),(36,1),(37,1),(283,1),(402,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(30,1),(37,1),(38,1),(50,1),(90,1),(97,1),(102,1),(111,1),(168,1),(273,1),(346,1),(398,1)}
        20:{1,3,4,5}:{(10,1),(41,1),(42,1),(43,1),(94,1),(95,1),(187,1),(202,1),(278,1),(289,1)}
        21:{1,4,5}:{(8,1),(35,1),(43,1),(167,1),(395,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(11,1),(36,1),(43,1),(45,1),(46,1),(112,1)}
        23:{1,4,7}:{(8,1),(9,1),(37,1)}
        24:{1,3,6,7}:{(9,1),(13,1),(38,1),(47,1),(112,1),(264,1),(343,1)}
        25:{2,4}:{(10,1),(14,1),(48,1)}
        26:{2,3,6}:{(11,1),(14,1),(45,1),(49,1),(50,1),(184,1)}
        27:{1,3,7}:{(11,1),(12,1),(50,1),(346,1)}
        28:{1,3,5}:{(14,1),(48,1),(49,1),(51,1),(110,1),(116,1)}
        29:{1,4,6}:{(15,1),(18,1),(52,1),(54,1),(248,1)}
        30:{1,3,5,7}:{(15,1),(17,1),(19,1),(54,1),(55,1),(58,1),(80,1),(126,1),(157,1)}
        31:{1,2,4,5}:{(16,1),(52,1),(56,1),(121,1),(128,1),(156,1),(216,1),(234,1),(248,1),(302,1),(307,1)}
        32:{1,3,6}:{(16,1),(56,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(54,1),(58,1),(125,1),(296,1),(310,1),(363,1)}
        34:{1,2,6,7}:{(17,1),(55,1),(219,1),(250,1),(299,1),(316,1)}
        35:{2,4,5}:{(18,1),(21,1),(52,1),(61,1),(72,1),(121,1),(382,1),(415,1)}
        36:{3,4,6}:{(18,1),(61,1),(64,1),(143,1),(309,1),(319,1)}
        37:{2,4,7}:{(18,1),(19,1),(23,1),(54,1),(64,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(24,1),(55,1),(65,1),(143,1),(158,1),(219,1),(316,1),(324,1),(375,1)}
        39:{2,3,4}:{(25,1),(60,1),(66,1),(148,1),(233,1),(319,1)}
        40:{1,4,5,6}:{(21,1),(59,1),(67,1),(68,1),(74,1),(209,1),(224,1),(322,1),(325,1),(383,1)}
        41:{1,3,4,6}:{(20,1),(67,1),(69,1),(70,1),(132,1),(136,1),(224,1),(309,1)}
        42:{2,4,5}:{(20,1),(25,1),(60,1),(69,1),(71,1),(72,1),(138,1),(233,1),(317,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(72,1)}
        44:{1,4,5,7}:{(21,1),(23,1),(62,1),(73,1),(74,1),(77,1),(218,1)}
        45:{2,4,6}:{(22,1),(25,1),(26,1),(72,1),(75,1),(76,1),(158,1)}
        46:{1,3,4,7}:{(22,1),(23,1),(27,1),(64,1),(73,1),(76,1)}
        47:{1,4,6,7}:{(23,1),(24,1),(65,1),(74,1),(77,1),(372,1)}
        48:{1,4}:{(25,1),(28,1)}
        49:{1,3,6}:{(26,1),(28,1),(75,1),(79,1),(80,1)}
        50:{2,3,7}:{(26,1),(27,1),(76,1),(80,1),(232,1)}
        51:{1,2,5}:{(28,1),(78,1),(79,1),(138,1)}
        52:{1,4,5}:{(29,1),(35,1),(82,1),(110,1),(360,1)}
        53:{1,3,4,6}:{(29,1),(32,1),(36,1),(82,1),(84,1),(85,1),(87,1),(169,1)}
        54:{1,4,7}:{(29,1),(30,1),(37,1)}
        55:{1,3,6,7}:{(30,1),(34,1),(38,1),(86,1),(169,1),(205,1),(292,1)}
        56:{1,3,5}:{(31,1),(32,1),(87,1),(88,1),(278,1),(344,1)}
        57:{2,3,6}:{(32,1),(84,1),(88,1),(89,1),(90,1),(330,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(81,1),(91,1),(92,1),(98,1),(104,1),(162,1),(178,1),(268,1),(281,1),(282,1),(349,1),(355,1),(399,1),(402,1)}
        60:{2,3,5}:{(39,1),(42,1),(93,1),(94,1),(278,1)}
        61:{3,5}:{(35,1),(36,1)}
        62:{2,4,5,7}:{(35,1),(37,1),(44,1),(83,1),(97,1),(98,1),(102,1),(111,1),(168,1),(196,1)}
        63:{2,3,4,6}:{(36,1),(39,1),(45,1),(84,1),(93,1),(96,1),(99,1),(100,1),(174,1),(178,1),(192,1),(194,1),(251,1),(276,1),(283,1),(345,1),(356,1),(387,1)}
        64:{3,4,7}:{(36,1),(37,1),(97,1),(346,1)}
        65:{2,4,6,7}:{(37,1),(38,1),(47,1),(86,1),(98,1),(101,1),(102,1),(356,1)}
        66:{1,3,4}:{(39,1),(48,1),(94,1),(103,1),(116,1),(173,1),(259,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(43,1),(91,1),(104,1),(105,1),(112,1),(289,1),(359,1)}
        68:{1,4,5,7}:{(40,1),(92,1),(105,1),(106,1),(255,1),(269,1),(348,1)}
        69:{2,4,6}:{(41,1),(42,1),(93,1),(104,1),(107,1),(108,1),(184,1)}
        70:{1,3,4,7}:{(41,1),(105,1),(108,1),(179,1),(185,1),(269,1),(346,1)}
        71:{1,4,5}:{(42,1),(48,1),(94,1),(107,1),(110,1),(259,1),(337,1)}
        72:{2,5}:{(43,1),(45,1),(110,1)}
        73:{1,3,5,7}:{(43,1),(44,1),(46,1),(97,1),(111,1),(112,1)}
        74:{1,4,6}:{(44,1),(98,1),(112,1),(113,1),(264,1)}
        75:{1,4,6}:{(45,1),(48,1),(49,1),(110,1),(115,1),(205,1)}
        76:{2,4,7}:{(45,1),(46,1),(50,1),(111,1),(115,1)}
        77:{1,5,7}:{(47,1),(102,1),(113,1),(395,1)}
        78:{1,2,4}:{(48,1),(51,1),(103,1),(116,1)}
        79:{1,2,6}:{(49,1),(51,1),(117,1),(184,1)}
        80:{1,3,7}:{(49,1),(50,1),(115,1),(117,1)}
        81:{1,4,5,6}:{(52,1),(59,1),(118,1),(119,1),(123,1),(149,1),(224,1),(322,1),(366,1),(409,1)}
        82:{1,3,5}:{(52,1),(53,1),(61,1),(121,1)}
        83:{1,4,5,7}:{(52,1),(54,1),(62,1),(122,1),(123,1),(126,1),(157,1)}
        84:{2,4,6}:{(53,1),(57,1),(121,1),(124,1),(125,1),(128,1),(219,1)}
        85:{1,3,4,7}:{(53,1),(54,1),(58,1),(64,1),(122,1),(125,1)}
        86:{1,4,6,7}:{(54,1),(55,1),(65,1),(123,1),(126,1),(329,1)}
        87:{1,3,4}:{(56,1),(128,1),(248,1),(319,1)}
        88:{2,3,5}:{(56,1),(57,1),(121,1),(128,1),(129,1),(302,1),(308,1)}
        89:{1,3,6}:{(57,1),(124,1),(129,1),(130,1),(131,1)}
        90:{2,3,7}:{(57,1),(58,1),(125,1),(131,1),(363,1)}
        91:{3,5,6}:{(59,1),(61,1),(132,1),(134,1),(143,1),(309,1),(373,1),(411,1)}
        92:{2,4,5,7}:{(59,1),(68,1),(119,1),(134,1),(135,1),(150,1),(210,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        93:{2,3,6}:{(60,1),(69,1),(136,1),(137,1),(309,1)}
        94:{1,3,5}:{(60,1),(66,1),(71,1),(136,1),(138,1)}
        95:{3,4,5}:{(61,1),(132,1),(139,1),(319,1),(373,1),(415,1)}
        96:{2,3,5}:{(61,1),(63,1),(72,1),(121,1),(139,1),(141,1),(317,1),(373,1),(382,1),(406,1)}
        97:{3,5,7}:{(61,1),(62,1),(64,1),(143,1)}
        98:{2,4,6}:{(62,1),(74,1),(123,1),(143,1),(144,1),(158,1),(219,1),(241,1)}
        99:{1,3,4,6}:{(63,1),(66,1),(75,1),(124,1),(136,1),(141,1),(145,1),(146,1),(159,1),(220,1),(222,1),(224,1),(240,1),(248,1),(293,1),(300,1),(304,1),(309,1),(319,1),(329,1),(372,1),(380,1),(404,1)}
       100:{2,3,4,7}:{(63,1),(64,1),(76,1),(125,1),(137,1),(142,1),(146,1),(225,1),(242,1),(294,1),(318,1),(323,1),(374,1),(407,1)}
       101:{3,4,6,7}:{(64,1),(65,1),(143,1),(147,1),(241,1),(375,1),(380,1),(413,1)}
       102:{2,5,7}:{(65,1),(77,1),(126,1),(144,1),(147,1),(382,1)}
       103:{2,4}:{(66,1),(138,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(72,1),(149,1),(150,1),(158,1),(317,1),(379,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(70,1),(134,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(74,1),(135,1),(151,1),(152,1),(299,1),(383,1)}
       107:{1,4,6}:{(69,1),(71,1),(136,1),(149,1),(154,1)}
       108:{2,4,7}:{(69,1),(70,1),(137,1),(150,1),(154,1),(232,1)}
       109:{1,2,4,5}:{(71,1),(78,1),(138,1),(153,1),(155,1),(156,1),(233,1),(234,1),(248,1),(317,1),(325,1)}
       110:{1,5}:{(72,1),(75,1)}
       111:{2,5,7}:{(72,1),(73,1),(76,1),(157,1),(158,1)}
       112:{1,3,6}:{(73,1),(74,1),(143,1),(158,1)}
       113:{1,5,6}:{(74,1),(77,1),(144,1)}
       114:{1,2,4,6}:{(75,1),(78,1),(79,1),(145,1),(156,1),(159,1),(160,1),(248,1),(250,1),(307,1),(329,1),(361,1),(404,1)}
       115:{1,4,7}:{(75,1),(76,1),(80,1),(157,1)}
       116:{1,3}:{(78,1),(148,1)}
       117:{1,2,7}:{(79,1),(80,1),(232,1)}
       118:{1,3,5,6}:{(81,1),(82,1),(91,1),(161,1),(162,1),(163,1),(169,1),(389,1),(419,1)}
       119:{1,4,5,7}:{(81,1),(92,1),(163,1),(164,1),(198,1),(269,1),(348,1)}
       120:{1,3,4,5}:{(82,1),(87,1),(95,1),(161,1),(166,1),(187,1),(260,1),(278,1),(341,1),(389,1)}
       121:{2,5}:{(82,1),(84,1),(167,1)}
       122:{1,3,5,7}:{(82,1),(83,1),(85,1),(97,1),(168,1),(169,1)}
       123:{1,4,6}:{(83,1),(98,1),(169,1),(170,1),(205,1)}
       124:{1,4,6}:{(84,1),(89,1),(167,1),(172,1),(175,1),(264,1)}
       125:{2,4,7}:{(84,1),(85,1),(90,1),(168,1),(172,1)}
       126:{1,5,7}:{(86,1),(102,1),(170,1),(360,1)}
       127:{1,2,4}:{(103,1),(165,1),(173,1),(259,1)}
       128:{2,4}:{(87,1),(88,1),(175,1)}
       129:{1,3,5}:{(88,1),(89,1),(167,1),(175,1),(176,1),(267,1)}
       130:{1,2,6}:{(89,1),(176,1),(177,1),(330,1)}
       131:{1,3,7}:{(89,1),(90,1),(172,1),(177,1)}
       132:{3,4,6}:{(91,1),(95,1),(178,1),(179,1),(402,1)}
       133:{2,3,5,6}:{(91,1),(93,1),(96,1),(104,1),(162,1),(178,1),(180,1),(181,1),(192,1),(251,1),(281,1)}
       134:{3,5,7}:{(91,1),(92,1),(179,1),(182,1),(346,1)}
       135:{2,4,6,7}:{(92,1),(98,1),(106,1),(164,1),(182,1),(183,1),(199,1),(256,1),(275,1),(399,1)}
       136:{1,3,6}:{(93,1),(94,1),(107,1),(184,1),(185,1)}
       137:{2,3,7}:{(93,1),(108,1),(185,1),(346,1)}
       138:{2,5}:{(94,1),(103,1),(184,1)}
       139:{2,4,5}:{(95,1),(96,1),(178,1),(187,1),(283,1)}
       140:{3,4,5,7}:{(95,1),(97,1),(179,1),(188,1),(189,1),(196,1),(271,1),(353,1),(396,1),(401,1),(422,1)}
       141:{1,3,5}:{(96,1),(99,1),(110,1),(167,1),(187,1),(190,1),(278,1),(337,1),(360,1),(395,1),(401,1),(416,1)}
       142:{2,3,5,7}:{(96,1),(97,1),(100,1),(111,1),(168,1),(188,1),(191,1),(192,1),(352,1),(396,1),(418,1)}
       143:{3,6}:{(97,1),(98,1)}
       144:{2,5,6}:{(98,1),(102,1),(113,1),(170,1),(193,1)}
       145:{2,4,6}:{(99,1),(103,1),(184,1),(190,1),(194,1),(195,1),(266,1),(283,1),(285,1),(330,1)}
       146:{1,3,4,7}:{(99,1),(100,1),(115,1),(172,1),(185,1),(191,1),(195,1),(206,1),(265,1),(269,1),(291,1),(331,1),(338,1),(342,1),(346,1),(353,1),(417,1)}
       147:{3,5,7}:{(101,1),(102,1),(193,1),(196,1),(401,1)}
       148:{2,3}:{(103,1),(116,1),(173,1)}
       149:{1,5,6}:{(104,1),(107,1),(110,1),(198,1),(205,1),(337,1),(393,1)}
       150:{2,5,7}:{(104,1),(105,1),(108,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(112,1),(182,1),(199,1),(359,1)}
       152:{1,5,6,7}:{(106,1),(113,1),(183,1),(348,1),(403,1)}
       153:{1,2,4,6}:{(107,1),(109,1),(184,1),(197,1),(200,1),(201,1),(268,1),(276,1),(286,1)}
       154:{1,4,7}:{(107,1),(108,1),(185,1),(198,1)}
       155:{1,3,5}:{(109,1),(116,1),(186,1),(200,1),(202,1),(278,1)}
       156:{1,2,5}:{(110,1),(114,1),(190,1),(203,1),(360,1),(416,1)}
       157:{1,5,7}:{(110,1),(111,1),(115,1),(205,1)}
       158:{2,6}:{(111,1),(112,1),(205,1)}
       159:{1,3,6}:{(114,1),(116,1),(194,1),(203,1),(206,1),(344,1)}
       160:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(204,1),(206,1),(291,1),(386,1),(417,1)}
       161:{1,3,4,6}:{(118,1),(120,1),(132,1),(207,1),(208,1),(224,1),(293,1),(309,1)}
       162:{2,5,6}:{(118,1),(121,1),(207,1),(209,1),(210,1),(219,1),(406,1),(424,1)}
       163:{1,3,5,7}:{(118,1),(119,1),(134,1),(208,1),(210,1),(211,1)}
       164:{1,4,6,7}:{(119,1),(123,1),(135,1),(211,1),(212,1),(245,1),(409,1)}
       165:{1,2,5}:{(127,1),(138,1),(213,1),(214,1)}
       166:{2,4,5}:{(120,1),(121,1),(128,1),(207,1),(215,1),(216,1),(302,1),(371,1),(406,1)}
       167:{1,5}:{(121,1),(124,1)}
       168:{2,5,7}:{(121,1),(122,1),(125,1),(218,1),(219,1)}
       169:{1,3,6}:{(122,1),(123,1),(143,1),(219,1)}
       170:{1,5,6}:{(123,1),(126,1),(144,1)}
       171:{1,2,4,6}:{(124,1),(127,1),(130,1),(145,1),(213,1),(217,1),(220,1),(221,1),(223,1),(300,1),(304,1),(306,1),(372,1)}
       172:{1,4,7}:{(124,1),(125,1),(131,1),(218,1)}
       173:{1,3}:{(127,1),(148,1)}
       174:{2,3,4}:{(128,1),(215,1),(222,1),(308,1),(319,1),(371,1)}
       175:{1,4}:{(128,1),(129,1)}
       176:{1,2,5}:{(129,1),(130,1),(223,1),(302,1)}
       177:{1,2,7}:{(130,1),(131,1),(363,1)}
       178:{2,4,6}:{(132,1),(133,1),(139,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(134,1),(225,1),(413,1)}
       180:{1,3,5,6}:{(133,1),(136,1),(141,1),(149,1),(209,1),(224,1),(227,1),(228,1),(240,1),(293,1),(309,1),(322,1),(381,1)}
       181:{2,3,5,7}:{(133,1),(134,1),(137,1),(150,1),(210,1),(225,1),(228,1),(229,1),(294,1),(312,1)}
       182:{3,6,7}:{(134,1),(135,1),(143,1),(411,1)}
       183:{2,5,6,7}:{(135,1),(144,1),(152,1),(212,1),(230,1),(312,1),(376,1),(414,1)}
       184:{2,6}:{(136,1),(138,1),(232,1)}
       185:{1,3,7}:{(136,1),(137,1),(154,1),(232,1)}
       186:{2,3,5}:{(138,1),(148,1),(155,1),(214,1),(231,1),(233,1),(317,1)}
       187:{1,4,5}:{(139,1),(141,1),(224,1),(234,1),(248,1),(304,1),(415,1)}
       188:{2,4,5,7}:{(139,1),(140,1),(142,1),(225,1),(235,1),(236,1),(312,1),(323,1),(382,1)}
       189:{3,4,6}:{(140,1),(143,1),(236,1),(237,1),(241,1),(411,1),(425,1)}
       190:{2,5}:{(141,1),(145,1)}
       191:{1,3,5,7}:{(141,1),(142,1),(146,1),(157,1),(218,1),(235,1),(239,1),(240,1),(320,1),(369,1),(423,1)}
       192:{2,3,6}:{(142,1),(143,1),(158,1),(219,1),(236,1),(240,1),(379,1),(411,1),(424,1)}
       193:{3,5,6}:{(143,1),(144,1),(147,1),(241,1)}
       194:{2,3,6}:{(145,1),(148,1),(159,1),(220,1),(238,1),(242,1),(308,1),(309,1)}
       195:{2,4,7}:{(145,1),(146,1),(232,1),(239,1),(242,1),(363,1)}
       196:{4,5,7}:{(147,1),(241,1),(413,1),(415,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(156,1),(227,1),(243,1),(244,1),(250,1),(317,1),(361,1),(379,1)}
       198:{1,5,7}:{(149,1),(150,1),(154,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(158,1),(245,1),(379,1)}
       200:{1,3,6}:{(153,1),(155,1),(231,1),(247,1),(309,1)}
       201:{1,2,4,7}:{(153,1),(154,1),(232,1),(244,1),(247,1),(310,1),(318,1),(326,1)}
       202:{1,3,4}:{(155,1),(233,1),(248,1),(319,1)}
       203:{1,3,5}:{(156,1),(159,1),(238,1),(248,1)}
       204:{1,2,5,7}:{(156,1),(157,1),(160,1),(239,1),(249,1),(250,1),(423,1)}
       205:{1,6}:{(157,1),(158,1)}
       206:{1,3,7}:{(159,1),(160,1),(242,1)}
       207:{2,4,6}:{(161,1),(162,1),(166,1),(251,1),(252,1),(253,1),(330,1)}
       208:{1,3,4,7}:{(161,1),(163,1),(179,1),(253,1),(269,1),(331,1),(346,1)}
       209:{1,5,6}:{(162,1),(167,1),(252,1),(255,1),(264,1),(416,1),(426,1)}
       210:{2,5,7}:{(162,1),(163,1),(253,1),(255,1),(256,1)}
       211:{1,3,6,7}:{(163,1),(164,1),(169,1),(182,1),(256,1),(419,1)}
       212:{1,5,6,7}:{(164,1),(170,1),(183,1),(348,1),(420,1)}
       213:{1,2,6}:{(165,1),(184,1),(257,1),(258,1)}
       214:{1,3,5}:{(165,1),(173,1),(186,1),(257,1),(259,1),(337,1)}
       215:{2,3,5}:{(166,1),(174,1),(251,1),(260,1),(278,1)}
       216:{1,4,5}:{(166,1),(167,1),(175,1),(252,1),(260,1),(394,1),(416,1)}
       217:{1,2,5}:{(167,1),(171,1),(190,1),(262,1),(337,1),(395,1)}
       218:{1,5,7}:{(167,1),(168,1),(172,1),(264,1)}
       219:{2,6}:{(168,1),(169,1),(264,1)}
       220:{1,3,6}:{(171,1),(173,1),(194,1),(262,1),(265,1),(267,1)}
       221:{1,2,4,7}:{(171,1),(172,1),(177,1),(195,1),(258,1),(263,1),(265,1),(338,1),(342,1)}
       222:{1,3,4}:{(174,1),(175,1),(260,1),(266,1),(267,1),(344,1),(394,1)}
       223:{1,2,4}:{(175,1),(176,1),(266,1),(267,1)}
       224:{1,4,6}:{(178,1),(180,1),(187,1),(268,1),(269,1),(402,1)}
       225:{2,4,7}:{(178,1),(179,1),(181,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(189,1),(270,1),(271,1),(275,1)}
       227:{2,5,6}:{(180,1),(184,1),(190,1),(268,1),(273,1),(285,1),(330,1)}
       228:{1,3,5,7}:{(180,1),(181,1),(185,1),(198,1),(255,1),(269,1),(273,1),(274,1),(331,1),(346,1),(348,1),(398,1)}
       229:{2,3,6,7}:{(181,1),(182,1),(192,1),(199,1),(256,1),(270,1),(274,1)}
       230:{3,5,6,7}:{(182,1),(183,1),(193,1),(271,1),(275,1),(398,1),(421,1)}
       231:{2,3,6}:{(184,1),(186,1),(200,1),(257,1),(276,1),(277,1)}
       232:{2,7}:{(184,1),(185,1)}
       233:{2,4}:{(186,1),(202,1),(259,1)}
       234:{2,4,5}:{(187,1),(190,1),(268,1),(278,1),(283,1)}
       235:{1,4,5,7}:{(187,1),(188,1),(191,1),(269,1),(279,1),(280,1),(291,1),(342,1),(348,1),(360,1),(395,1)}
       236:{2,4,6}:{(188,1),(189,1),(192,1),(280,1),(281,1)}
       237:{3,5,6}:{(189,1),(271,1),(281,1),(282,1),(401,1)}
       238:{2,3,5}:{(190,1),(194,1),(203,1),(262,1),(278,1),(283,1)}
       239:{2,5,7}:{(190,1),(191,1),(195,1),(285,1)}
       240:{1,3,6}:{(191,1),(192,1),(205,1),(264,1),(280,1),(285,1),(354,1),(393,1),(426,1)}
       241:{4,6}:{(193,1),(196,1)}
       242:{2,3,7}:{(194,1),(195,1),(206,1),(265,1),(346,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(203,1),(272,1),(286,1),(287,1),(289,1),(292,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(201,1),(273,1),(287,1),(288,1),(352,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(205,1),(393,1)}
       246:{1,3,4,6}:{(200,1),(202,1),(276,1),(286,1),(289,1),(290,1),(345,1),(359,1)}
       247:{1,3,7}:{(200,1),(201,1),(277,1),(346,1)}
       248:{1,4}:{(203,1),(283,1)}
       249:{1,3,5,7}:{(203,1),(204,1),(206,1),(284,1),(291,1),(292,1),(360,1)}
       250:{1,2,6}:{(204,1),(205,1),(285,1),(292,1),(426,1)}
       251:{2,3,6}:{(207,1),(215,1),(293,1),(294,1),(309,1)}
       252:{1,4,6}:{(207,1),(209,1),(216,1),(293,1),(296,1)}
       253:{2,4,7}:{(207,1),(208,1),(210,1),(294,1),(296,1),(363,1)}
       254:{1,2,5,6}:{(209,1),(213,1),(217,1),(227,1),(295,1),(297,1),(298,1),(306,1),(406,1),(424,1)}
       255:{1,5,7}:{(209,1),(210,1),(296,1),(299,1)}
       256:{2,6,7}:{(210,1),(211,1),(219,1),(299,1),(424,1)}
       257:{1,3,6}:{(213,1),(214,1),(231,1),(300,1),(301,1)}
       258:{1,2,7}:{(213,1),(232,1),(301,1)}
       259:{1,4}:{(214,1),(233,1)}
       260:{1,3,5}:{(215,1),(216,1),(222,1),(293,1),(302,1)}
       261:{1,2,4,5}:{(216,1),(217,1),(223,1),(234,1),(295,1),(302,1),(303,1),(304,1),(366,1),(371,1),(406,1)}
       262:{1,3,5}:{(217,1),(220,1),(238,1),(304,1)}
       263:{1,2,5,7}:{(217,1),(218,1),(221,1),(239,1),(305,1),(306,1),(369,1)}
       264:{1,6}:{(218,1),(219,1)}
       265:{1,3,7}:{(220,1),(221,1),(242,1)}
       266:{2,4}:{(222,1),(302,1),(308,1)}
       267:{1,3}:{(223,1),(308,1)}
       268:{2,4,6}:{(224,1),(227,1),(234,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(228,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(236,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(237,1),(312,1),(313,1)}
       272:{2,3,5,6}:{(227,1),(231,1),(238,1),(243,1),(297,1),(309,1),(314,1),(315,1),(317,1),(324,1),(362,1),(373,1),(379,1),(381,1),(382,1),(406,1),(411,1),(414,1),(424,1)}
       273:{2,5,7}:{(227,1),(228,1),(232,1),(310,1),(316,1),(363,1)}
       274:{1,3,6,7}:{(228,1),(229,1),(240,1),(245,1),(299,1),(311,1),(316,1),(375,1)}
       275:{4,6,7}:{(230,1),(241,1),(313,1),(413,1),(425,1)}
       276:{2,4,6}:{(231,1),(233,1),(246,1),(300,1),(317,1),(318,1),(379,1)}
       277:{2,3,7}:{(231,1),(232,1),(247,1),(301,1),(318,1)}
       278:{3,5}:{(234,1),(309,1),(319,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(239,1),(310,1),(320,1),(321,1),(323,1),(376,1),(382,1),(413,1),(415,1)}
       280:{1,4,6}:{(235,1),(236,1),(240,1),(321,1),(322,1)}
       281:{2,5,6}:{(236,1),(237,1),(312,1),(322,1),(382,1)}
       282:{4,5,6}:{(237,1),(241,1),(313,1),(415,1),(425,1)}
       283:{2,4}:{(238,1),(248,1),(304,1),(319,1)}
       284:{2,3,5,7}:{(238,1),(239,1),(242,1),(249,1),(305,1),(320,1),(323,1),(324,1),(382,1)}
       285:{2,6}:{(239,1),(240,1)}
       286:{1,4,6}:{(243,1),(248,1),(314,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(247,1),(315,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(250,1),(316,1),(327,1),(379,1)}
       289:{1,3,5}:{(246,1),(317,1),(325,1),(373,1)}
       290:{1,3,4,7}:{(246,1),(247,1),(318,1),(326,1),(328,1),(374,1)}
       291:{1,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       292:{1,3,6}:{(249,1),(250,1),(324,1),(329,1)}
       293:{1,3,6}:{(251,1),(252,1),(260,1),(330,1),(331,1)}
       294:{2,3,7}:{(251,1),(253,1),(331,1),(346,1)}
       295:{1,2,4,6}:{(252,1),(254,1),(261,1),(268,1),(330,1),(332,1),(333,1),(334,1),(387,1)}
       296:{1,4,7}:{(252,1),(253,1),(255,1),(331,1)}
       297:{1,3,5,6}:{(254,1),(257,1),(262,1),(272,1),(332,1),(334,1),(335,1),(337,1),(343,1),(389,1),(393,1),(395,1),(419,1),(420,1)}
       298:{1,2,5,7}:{(254,1),(255,1),(258,1),(273,1),(333,1),(335,1),(336,1),(418,1)}
       299:{1,6,7}:{(255,1),(256,1),(264,1),(426,1)}
       300:{1,4,6}:{(257,1),(259,1),(276,1),(337,1),(338,1),(393,1)}
       301:{1,3,7}:{(257,1),(258,1),(277,1),(338,1)}
       302:{2,5}:{(260,1),(266,1),(330,1)}
       303:{1,3,5}:{(261,1),(267,1),(278,1),(332,1),(340,1),(341,1)}
       304:{1,4}:{(262,1),(283,1)}
       305:{1,3,5,7}:{(262,1),(263,1),(265,1),(284,1),(342,1),(343,1),(395,1)}
       306:{1,2,6}:{(263,1),(264,1),(285,1),(343,1),(393,1)}
       307:{1,2,4}:{(266,1),(339,1),(344,1),(394,1)}
       308:{2,3}:{(266,1),(267,1),(344,1)}
       309:{3,6}:{(268,1),(278,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(273,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(280,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(281,1),(348,1)}
       313:{4,5,7}:{(271,1),(275,1),(282,1)}
       314:{2,4,6}:{(272,1),(283,1),(286,1),(334,1),(345,1),(349,1),(350,1),(402,1)}
       315:{2,3,5,7}:{(272,1),(273,1),(277,1),(287,1),(335,1),(346,1),(350,1),(351,1),(352,1),(388,1),(396,1),(398,1),(400,1),(418,1)}
       316:{2,6,7}:{(273,1),(274,1),(285,1)}
       317:{2,5}:{(276,1),(289,1),(337,1)}
       318:{2,4,7}:{(276,1),(277,1),(290,1),(338,1),(352,1)}
       319:{3,4}:{(278,1),(283,1)}
       320:{3,5,7}:{(278,1),(279,1),(346,1),(353,1),(354,1),(401,1)}
       321:{2,4,6}:{(279,1),(280,1),(285,1),(354,1),(355,1),(402,1)}
       322:{1,5,6}:{(280,1),(281,1),(348,1),(355,1),(360,1),(395,1)}
       323:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(353,1),(356,1)}
       324:{2,3,6}:{(284,1),(285,1),(292,1),(343,1),(354,1),(356,1)}
       325:{1,4,5}:{(286,1),(289,1),(349,1),(360,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(350,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(292,1),(351,1),(358,1),(359,1),(426,1)}
       328:{1,3,5,7}:{(289,1),(290,1),(352,1),(357,1),(359,1),(396,1)}
       329:{1,4,6}:{(291,1),(292,1),(356,1),(360,1)}
       330:{2,6}:{(293,1),(302,1),(363,1)}
       331:{1,3,7}:{(293,1),(294,1),(296,1),(363,1)}
       332:{1,3,6}:{(295,1),(303,1),(309,1),(362,1),(365,1)}
       333:{1,2,4,7}:{(295,1),(296,1),(298,1),(310,1),(363,1),(365,1),(367,1),(407,1)}
       334:{1,4,6}:{(297,1),(304,1),(314,1),(366,1),(367,1)}
       335:{1,3,5,7}:{(297,1),(298,1),(301,1),(315,1),(365,1),(367,1),(368,1),(369,1),(410,1)}
       336:{1,2,6,7}:{(298,1),(299,1),(306,1),(316,1),(368,1),(424,1)}
       337:{1,5}:{(300,1),(317,1)}
       338:{1,4,7}:{(300,1),(301,1),(318,1),(369,1)}
       339:{1,2,5}:{(302,1),(307,1),(361,1),(370,1)}
       340:{2,3,5}:{(302,1),(303,1),(308,1),(362,1),(370,1),(371,1),(406,1)}
       341:{1,3,4}:{(303,1),(304,1),(319,1),(371,1)}
       342:{1,4,7}:{(304,1),(305,1),(323,1),(372,1)}
       343:{1,3,6}:{(305,1),(306,1),(324,1),(372,1)}
       344:{1,3}:{(307,1),(308,1)}
       345:{3,4,6}:{(309,1),(314,1),(319,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(321,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(322,1),(376,1)}
       349:{2,4,5}:{(314,1),(317,1),(325,1),(366,1),(373,1),(382,1),(406,1),(415,1)}
       350:{2,4,7}:{(314,1),(315,1),(326,1),(367,1),(374,1),(413,1)}
       351:{2,3,6,7}:{(315,1),(316,1),(324,1),(327,1),(368,1),(375,1),(378,1),(379,1),(411,1),(424,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{3,4,7}:{(319,1),(320,1),(323,1),(380,1),(413,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{2,5,6}:{(321,1),(322,1),(376,1),(381,1),(382,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(380,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(328,1),(377,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(329,1),(378,1),(383,1),(384,1)}
       359:{1,3,6}:{(328,1),(379,1),(383,1),(411,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(330,1),(339,1),(385,1),(386,1)}
       362:{2,3,6}:{(330,1),(332,1),(340,1),(385,1),(387,1),(388,1)}
       363:{2,7}:{(330,1),(331,1)}
       364:{1,3,4,6}:{(332,1),(334,1),(341,1),(345,1),(387,1),(389,1),(390,1),(419,1)}
       365:{1,3,7}:{(332,1),(333,1),(346,1),(388,1)}
       366:{1,4,5}:{(334,1),(337,1),(349,1),(389,1),(395,1)}
       367:{1,4,7}:{(334,1),(335,1),(350,1)}
       368:{1,3,6,7}:{(335,1),(336,1),(343,1),(351,1),(392,1),(393,1),(419,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(385,1),(394,1),(416,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(349,1)}
       374:{3,4,7}:{(345,1),(346,1),(350,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(354,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(355,1),(398,1)}
       377:{2,4,5,7}:{(349,1),(350,1),(352,1),(357,1),(391,1),(396,1),(399,1),(400,1),(418,1),(422,1)}
       378:{2,4,6,7}:{(350,1),(351,1),(356,1),(358,1),(392,1),(397,1),(399,1),(400,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,4,6}:{(353,1),(354,1),(356,1),(401,1),(402,1)}
       381:{3,5,6}:{(354,1),(355,1),(398,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(401,1)}
       383:{1,4,6}:{(357,1),(359,1),(399,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(360,1),(400,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(370,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(363,1),(405,1)}
       387:{2,4,6}:{(362,1),(364,1),(371,1),(404,1),(406,1),(407,1),(424,1)}
       388:{2,3,7}:{(362,1),(363,1),(365,1),(405,1),(407,1)}
       389:{1,3,5}:{(364,1),(366,1),(373,1),(406,1)}
       390:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(407,1),(408,1)}
       391:{1,4,5,7}:{(366,1),(367,1),(369,1),(377,1),(408,1),(409,1),(410,1)}
       392:{1,4,6,7}:{(367,1),(368,1),(372,1),(378,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(381,1),(413,1)}
       399:{2,4,6}:{(377,1),(379,1),(383,1),(409,1),(411,1),(414,1),(424,1),(425,1)}
       400:{2,5,7}:{(378,1),(382,1),(384,1),(410,1),(412,1),(414,1)}
       401:{3,5}:{(380,1),(382,1),(415,1)}
       402:{4,6}:{(381,1),(413,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,4,6}:{(385,1),(387,1),(394,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(388,1),(417,1)}
       406:{2,5}:{(387,1),(389,1),(416,1)}
       407:{2,4,7}:{(387,1),(388,1),(390,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(391,1),(393,1),(399,1),(419,1),(420,1)}
       410:{1,5,7}:{(392,1),(395,1),(400,1),(420,1)}
       411:{3,6}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(402,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{3,5,6}:{(411,1),(412,1),(414,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 831 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 832 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 833 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 834 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 835 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(15,1),(17,1),(128,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(10,1),(30,1),(57,1),(105,1)}
         2:{1,3,7}:{(0,1),(5,1),(9,1),(147,1),(176,1)}
         3:{1,2,4,6}:{(0,1),(7,1),(9,1),(10,1),(31,1),(34,1),(37,1)}
         4:{1,2,7}:{(12,1),(13,1),(167,1),(181,1)}
         5:{2,3,7}:{(2,1),(12,1),(15,1),(16,1),(143,1),(162,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(21,1),(53,1),(80,1),(125,1),(127,1)}
         7:{1,2,6}:{(1,1),(18,1),(49,1)}
         8:{1,3,4,7}:{(2,1),(15,1),(17,1),(19,1),(20,1),(46,1),(102,1),(143,1),(161,1)}
         9:{1,3,6}:{(2,1),(3,1),(16,1),(21,1),(168,1)}
        10:{1,2,5}:{(3,1),(21,1),(50,1),(53,1),(140,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(27,1),(61,1),(106,1)}
        12:{1,3,7}:{(4,1),(5,1),(25,1),(26,1),(173,1)}
        13:{1,2,6}:{(4,1),(26,1),(27,1),(155,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(28,1),(29,1),(30,1),(32,1),(58,1),(68,1),(71,1),(106,1),(108,1)}
        15:{2,4,7}:{(5,1),(8,1),(25,1),(30,1),(31,1),(172,1)}
        16:{2,3,6}:{(5,1),(9,1),(26,1),(31,1),(32,1),(124,1),(155,1)}
        17:{1,4,7}:{(6,1),(28,1),(34,1),(37,1),(146,1)}
        18:{1,3,6}:{(6,1),(7,1),(29,1),(34,1),(144,1)}
        19:{1,3,5,7}:{(8,1),(30,1),(33,1),(35,1),(36,1),(68,1),(171,1),(183,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(36,1),(37,1),(69,1),(75,1),(79,1),(124,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(37,1),(118,1),(156,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(40,1),(45,1),(82,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(38,1),(40,1),(41,1),(42,1),(44,1),(86,1),(88,1)}
        24:{1,2,6}:{(11,1),(41,1),(129,1)}
        25:{1,4,7}:{(12,1),(15,1),(42,1),(43,1),(180,1)}
        26:{1,3,6}:{(12,1),(13,1),(16,1),(43,1),(44,1)}
        27:{1,2,5}:{(13,1),(44,1),(45,1),(138,1)}
        28:{2,4,7}:{(14,1),(17,1),(40,1),(46,1),(48,1),(51,1),(131,1)}
        29:{2,3,6}:{(14,1),(18,1),(41,1),(48,1),(49,1),(94,1),(129,1)}
        30:{2,5,7}:{(15,1),(19,1),(42,1),(49,1),(50,1),(179,1),(186,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(43,1),(49,1),(50,1),(51,1)}
        32:{2,3,5}:{(16,1),(21,1),(44,1),(50,1),(51,1),(93,1),(100,1),(138,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(47,1),(52,1),(53,1),(56,1),(101,1),(102,1),(125,1),(160,1),(177,1)}
        34:{1,4,6}:{(17,1),(18,1),(48,1),(53,1)}
        35:{1,3,6}:{(19,1),(49,1),(52,1),(94,1)}
        36:{1,3,5}:{(20,1),(50,1),(53,1),(56,1),(95,1),(100,1)}
        37:{1,4}:{(21,1),(51,1)}
        38:{1,3,7}:{(22,1),(58,1),(60,1),(67,1),(188,1)}
        39:{1,2,4,6}:{(22,1),(24,1),(60,1),(61,1),(63,1),(107,1),(111,1)}
        40:{1,4,7}:{(23,1),(28,1),(63,1),(66,1),(111,1)}
        41:{1,3,6}:{(23,1),(24,1),(29,1),(63,1),(64,1)}
        42:{1,5,7}:{(25,1),(30,1),(64,1),(65,1),(185,1),(188,1)}
        43:{1,4,6}:{(25,1),(26,1),(31,1),(64,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(32,1),(65,1),(66,1),(67,1)}
        45:{1,2,4}:{(27,1),(66,1),(67,1),(117,1)}
        46:{3,4,7}:{(28,1),(68,1),(69,1),(75,1),(151,1),(157,1)}
        47:{2,4,5,7}:{(28,1),(30,1),(33,1),(62,1),(68,1),(70,1),(71,1),(74,1),(106,1),(121,1),(122,1),(123,1),(150,1),(157,1),(174,1)}
        48:{2,4,6}:{(28,1),(29,1),(34,1),(63,1),(69,1),(71,1)}
        49:{2,6}:{(30,1),(35,1),(64,1)}
        50:{2,5}:{(31,1),(36,1),(65,1)}
        51:{2,4}:{(32,1),(37,1),(66,1),(75,1)}
        52:{1,4,6}:{(33,1),(35,1),(70,1),(77,1),(144,1)}
        53:{1,5}:{(34,1),(71,1)}
        54:{1,3,6,7}:{(35,1),(72,1),(76,1),(78,1),(119,1),(183,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(77,1),(78,1),(79,1),(120,1),(124,1)}
        56:{1,4,5}:{(36,1),(37,1),(74,1),(79,1),(121,1),(156,1)}
        57:{1,2,7}:{(80,1),(81,1),(140,1),(186,1)}
        58:{2,3,7}:{(38,1),(80,1),(82,1),(83,1),(93,1),(182,1),(186,1)}
        59:{1,3,4,7}:{(38,1),(40,1),(46,1),(82,1),(84,1),(85,1),(92,1),(166,1),(182,1)}
        60:{1,3,6}:{(38,1),(39,1),(83,1),(86,1),(187,1)}
        61:{1,2,5}:{(39,1),(86,1),(88,1),(130,1),(181,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(47,1),(84,1),(87,1),(88,1),(91,1),(134,1),(135,1),(136,1),(166,1)}
        63:{1,4,6}:{(40,1),(41,1),(48,1),(88,1)}
        64:{1,6}:{(42,1),(49,1)}
        65:{1,5}:{(43,1),(50,1)}
        66:{1,4}:{(44,1),(51,1)}
        67:{1,3}:{(45,1),(93,1)}
        68:{3,5,7}:{(46,1),(47,1),(94,1),(95,1),(100,1),(143,1),(165,1),(182,1)}
        69:{3,4,6}:{(46,1),(48,1),(94,1),(95,1),(142,1)}
        70:{2,4,6}:{(47,1),(49,1),(52,1),(87,1),(94,1),(97,1),(129,1),(142,1)}
        71:{2,5}:{(48,1),(53,1),(88,1),(95,1)}
        72:{2,6,7}:{(49,1),(54,1),(89,1),(98,1),(186,1)}
        73:{2,5,6}:{(49,1),(50,1),(55,1),(90,1),(98,1),(99,1)}
        74:{2,4,5}:{(50,1),(51,1),(56,1),(91,1),(99,1),(100,1),(138,1)}
        75:{3,4}:{(51,1),(100,1)}
        76:{1,4,6,7}:{(52,1),(54,1),(96,1),(101,1),(102,1),(158,1),(177,1)}
        77:{1,5,6}:{(52,1),(53,1),(97,1),(101,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(98,1),(101,1),(102,1),(141,1),(143,1)}
        79:{1,4,6}:{(55,1),(56,1),(99,1),(102,1),(142,1),(168,1)}
        80:{1,3,7}:{(57,1),(58,1),(103,1),(104,1),(118,1)}
        81:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        82:{2,4,7}:{(58,1),(59,1),(103,1),(106,1),(107,1),(117,1)}
        83:{2,3,6}:{(58,1),(60,1),(104,1),(107,1),(108,1),(175,1),(184,1)}
        84:{1,3,5,7}:{(59,1),(62,1),(68,1),(106,1),(109,1),(110,1),(116,1),(154,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(63,1),(69,1),(107,1),(109,1),(110,1),(111,1),(151,1),(153,1),(175,1)}
        86:{1,3,5}:{(60,1),(61,1),(108,1),(111,1),(173,1),(185,1)}
        87:{1,4,6}:{(62,1),(64,1),(70,1),(109,1),(113,1)}
        88:{1,5}:{(63,1),(71,1)}
        89:{1,6,7}:{(64,1),(72,1),(114,1),(188,1)}
        90:{1,5,6}:{(64,1),(65,1),(73,1),(114,1),(115,1)}
        91:{1,4,5}:{(65,1),(66,1),(74,1),(115,1),(116,1)}
        92:{1,3,4}:{(66,1),(67,1),(75,1),(116,1),(117,1)}
        93:{2,3}:{(67,1),(117,1),(118,1)}
        94:{3,6}:{(68,1),(70,1)}
        95:{3,5}:{(69,1),(71,1),(121,1)}
        96:{2,4,6,7}:{(70,1),(72,1),(76,1),(112,1),(119,1),(122,1),(123,1),(148,1),(157,1),(174,1)}
        97:{2,5,6}:{(70,1),(71,1),(77,1),(113,1),(120,1),(122,1)}
        98:{2,5,7}:{(72,1),(73,1),(78,1),(114,1),(123,1)}
        99:{2,4,6}:{(73,1),(74,1),(79,1),(115,1),(123,1),(124,1),(155,1)}
       100:{3,5}:{(74,1),(75,1),(124,1)}
       101:{1,5,7}:{(76,1),(77,1),(122,1)}
       102:{1,4,7}:{(78,1),(79,1),(123,1),(157,1),(176,1)}
       103:{1,4,7}:{(80,1),(82,1),(125,1),(126,1),(139,1)}
       104:{1,3,6}:{(80,1),(81,1),(83,1),(126,1),(127,1)}
       105:{1,2,5}:{(81,1),(127,1),(128,1),(179,1)}
       106:{2,5,7}:{(82,1),(84,1),(125,1),(129,1),(130,1),(138,1),(167,1)}
       107:{2,4,6}:{(82,1),(83,1),(85,1),(126,1),(129,1),(130,1),(131,1)}
       108:{2,3,5}:{(83,1),(86,1),(127,1),(130,1),(131,1),(162,1),(165,1),(179,1)}
       109:{1,3,6}:{(84,1),(87,1),(94,1),(129,1)}
       110:{1,3,5}:{(85,1),(88,1),(95,1),(130,1),(134,1),(165,1)}
       111:{1,4}:{(86,1),(131,1)}
       112:{1,4,6,7}:{(87,1),(89,1),(96,1),(132,1),(135,1),(136,1),(166,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(135,1)}
       114:{1,5,7}:{(89,1),(90,1),(98,1),(136,1)}
       115:{1,4,6}:{(90,1),(91,1),(99,1),(136,1),(137,1)}
       116:{1,3,5}:{(91,1),(92,1),(100,1),(137,1),(138,1)}
       117:{2,4}:{(92,1),(93,1),(138,1),(139,1)}
       118:{1,3}:{(93,1),(139,1),(140,1)}
       119:{3,6,7}:{(94,1),(96,1),(141,1),(143,1),(182,1)}
       120:{3,5,6}:{(94,1),(95,1),(97,1),(141,1),(142,1)}
       121:{4,5}:{(95,1),(142,1)}
       122:{2,5,7}:{(96,1),(97,1),(101,1),(135,1),(141,1)}
       123:{2,4,7}:{(98,1),(99,1),(102,1),(136,1),(143,1),(167,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{1,5,7}:{(103,1),(106,1),(144,1),(145,1),(156,1),(176,1)}
       126:{1,4,6}:{(103,1),(104,1),(107,1),(144,1),(145,1),(146,1)}
       127:{1,3,5}:{(104,1),(105,1),(108,1),(145,1),(146,1),(147,1)}
       128:{1,2,4}:{(105,1),(146,1),(147,1),(172,1)}
       129:{2,6}:{(106,1),(109,1),(144,1)}
       130:{2,5}:{(107,1),(110,1),(145,1)}
       131:{2,4}:{(108,1),(111,1),(146,1),(151,1)}
       132:{1,3,6,7}:{(109,1),(112,1),(119,1),(148,1),(152,1),(154,1)}
       133:{1,3,5,6}:{(109,1),(110,1),(113,1),(120,1),(149,1),(152,1),(153,1),(175,1)}
       134:{1,4,5}:{(110,1),(111,1),(121,1),(150,1),(153,1),(185,1)}
       135:{1,5,7}:{(112,1),(113,1),(122,1)}
       136:{1,4,7}:{(114,1),(115,1),(123,1),(154,1)}
       137:{1,3,6}:{(115,1),(116,1),(124,1),(154,1),(155,1)}
       138:{2,5}:{(116,1),(117,1),(155,1),(156,1)}
       139:{1,4}:{(117,1),(118,1),(156,1)}
       140:{1,2}:{(118,1)}
       141:{3,5,7}:{(119,1),(120,1),(122,1),(157,1)}
       142:{4,6}:{(120,1),(121,1),(157,1)}
       143:{3,7}:{(123,1),(124,1)}
       144:{1,6}:{(125,1),(129,1)}
       145:{1,5}:{(126,1),(130,1)}
       146:{1,4}:{(127,1),(131,1)}
       147:{1,3}:{(128,1),(162,1)}
       148:{2,6,7}:{(129,1),(132,1),(158,1),(163,1),(167,1)}
       149:{2,5,6}:{(129,1),(130,1),(133,1),(159,1),(163,1),(164,1)}
       150:{2,4,5}:{(130,1),(131,1),(134,1),(160,1),(164,1),(165,1),(179,1)}
       151:{3,4}:{(131,1),(165,1)}
       152:{1,3,5,7}:{(132,1),(133,1),(135,1),(141,1),(163,1),(166,1),(182,1)}
       153:{1,4,6}:{(133,1),(134,1),(142,1),(164,1),(166,1),(187,1)}
       154:{1,3,7}:{(136,1),(137,1),(143,1),(167,1)}
       155:{2,6}:{(137,1),(138,1),(167,1),(168,1)}
       156:{1,5}:{(138,1),(139,1),(168,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,6,7}:{(144,1),(148,1),(169,1),(176,1)}
       159:{1,5,6}:{(144,1),(145,1),(149,1),(169,1),(170,1)}
       160:{1,4,5}:{(145,1),(146,1),(150,1),(170,1),(171,1)}
       161:{1,3,4}:{(146,1),(147,1),(151,1),(171,1),(172,1)}
       162:{2,3}:{(147,1),(172,1),(173,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(169,1),(174,1)}
       164:{2,4,6}:{(149,1),(150,1),(153,1),(170,1),(174,1),(175,1),(184,1)}
       165:{3,5}:{(150,1),(151,1),(175,1)}
       166:{1,4,7}:{(152,1),(153,1),(157,1),(174,1),(188,1)}
       167:{2,7}:{(154,1),(155,1),(176,1)}
       168:{1,6}:{(155,1),(156,1),(176,1)}
       169:{1,5,7}:{(158,1),(159,1),(163,1),(177,1)}
       170:{1,4,6}:{(159,1),(160,1),(164,1),(177,1),(178,1)}
       171:{1,3,5}:{(160,1),(161,1),(165,1),(178,1),(179,1)}
       172:{2,4}:{(161,1),(162,1),(179,1),(180,1)}
       173:{1,3}:{(162,1),(180,1),(181,1)}
       174:{2,4,7}:{(163,1),(164,1),(166,1),(177,1),(182,1),(186,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{1,7}:{(167,1),(168,1)}
       177:{1,4,7}:{(169,1),(170,1),(174,1),(183,1)}
       178:{1,3,6}:{(170,1),(171,1),(175,1),(183,1),(184,1)}
       179:{2,5}:{(171,1),(172,1),(184,1),(185,1)}
       180:{1,4}:{(172,1),(173,1),(185,1)}
       181:{1,2}:{(173,1)}
       182:{3,7}:{(174,1),(175,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 836 :   0:{1,2,4}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,5}:{(0,1),(5,1),(6,1),(22,1),(41,1)}
         2:{1,3}:{(0,1),(4,1)}
         3:{1,2}:{(9,1)}
         4:{2,3}:{(2,1),(9,1),(11,1)}
         5:{1,2,6}:{(1,1),(12,1),(13,1),(36,1)}
         6:{1,3,5}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(57,1),(85,1)}
         7:{1,3,4}:{(2,1),(11,1),(14,1),(15,1),(32,1)}
         8:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(73,1)}
         9:{1,3}:{(3,1),(4,1),(19,1)}
        10:{2,3,5}:{(4,1),(6,1),(18,1),(20,1),(21,1),(22,1),(42,1),(49,1),(51,1),(73,1)}
        11:{2,4}:{(4,1),(7,1),(19,1),(22,1)}
        12:{1,2,7}:{(5,1),(23,1),(53,1)}
        13:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(24,1),(95,1)}
        14:{1,4}:{(6,1),(21,1)}
        15:{1,3,5}:{(7,1),(22,1),(25,1),(26,1),(49,1)}
        16:{1,2,4}:{(8,1),(27,1),(30,1),(58,1)}
        17:{1,2,6}:{(8,1),(28,1),(29,1),(86,1)}
        18:{1,3,5}:{(8,1),(9,1),(10,1),(27,1),(29,1),(30,1),(31,1),(61,1)}
        19:{1,4}:{(9,1),(11,1),(31,1)}
        20:{2,3,6}:{(10,1),(13,1),(29,1),(33,1),(34,1),(36,1),(66,1),(86,1)}
        21:{2,4}:{(10,1),(14,1),(30,1),(32,1)}
        22:{2,5}:{(11,1),(15,1),(31,1),(36,1)}
        23:{1,3,7}:{(12,1),(13,1),(33,1),(37,1),(101,1)}
        24:{1,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1),(70,1)}
        25:{1,4,5}:{(14,1),(15,1),(35,1),(38,1),(39,1),(85,1)}
        26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1),(66,1)}
        27:{1,3}:{(16,1),(42,1)}
        28:{1,2,7}:{(17,1),(44,1),(96,1)}
        29:{1,3,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(47,1)}
        30:{1,4}:{(18,1),(21,1)}
        31:{1,5}:{(19,1),(22,1),(47,1)}
        32:{3,4}:{(21,1),(49,1)}
        33:{2,3,7}:{(20,1),(23,1),(44,1),(50,1),(53,1),(81,1),(96,1)}
        34:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(48,1),(50,1),(51,1),(82,1)}
        35:{2,4,5}:{(21,1),(22,1),(25,1),(46,1),(49,1),(51,1),(52,1),(73,1),(78,1)}
        36:{2,6}:{(22,1),(26,1),(47,1),(53,1)}
        37:{1,4,7}:{(23,1),(24,1),(50,1),(54,1)}
        38:{1,5}:{(24,1),(51,1)}
        39:{1,4,6}:{(25,1),(26,1),(52,1),(55,1),(56,1),(95,1)}
        40:{1,3,7}:{(26,1),(53,1),(56,1),(81,1)}
        41:{1,2}:{(57,1)}
        42:{2,3}:{(27,1),(57,1),(58,1)}
        43:{1,3,4}:{(27,1),(30,1),(32,1),(58,1),(59,1)}
        44:{1,3,7}:{(28,1),(29,1),(33,1),(60,1),(63,1)}
        45:{1,4,6}:{(29,1),(30,1),(34,1),(60,1),(61,1),(88,1)}
        46:{1,4,5}:{(30,1),(31,1),(35,1),(59,1),(61,1),(62,1)}
        47:{1,6}:{(31,1),(36,1),(63,1)}
        48:{3,4,6}:{(32,1),(34,1),(64,1),(65,1),(66,1),(91,1),(92,1)}
        49:{3,5}:{(32,1),(35,1),(66,1)}
        50:{2,4,7}:{(33,1),(34,1),(37,1),(60,1),(64,1),(67,1)}
        51:{2,5}:{(34,1),(38,1),(61,1),(65,1)}
        52:{2,4,6}:{(35,1),(36,1),(39,1),(62,1),(66,1),(68,1),(69,1),(86,1),(91,1)}
        53:{2,7}:{(36,1),(40,1),(63,1)}
        54:{1,5,7}:{(37,1),(38,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(39,1),(68,1),(70,1),(71,1)}
        56:{1,4,7}:{(39,1),(40,1),(69,1),(71,1),(101,1)}
        57:{1,3}:{(41,1),(42,1),(72,1)}
        58:{2,4}:{(42,1),(43,1),(72,1),(73,1)}
        59:{1,3,5}:{(43,1),(46,1),(49,1),(73,1),(74,1)}
        60:{1,4,7}:{(44,1),(45,1),(50,1),(75,1)}
        61:{1,5}:{(45,1),(51,1)}
        62:{1,4,6}:{(46,1),(47,1),(52,1),(74,1),(76,1),(77,1)}
        63:{1,7}:{(47,1),(53,1)}
        64:{3,4,7}:{(48,1),(50,1),(79,1),(81,1),(99,1)}
        65:{3,5}:{(48,1),(51,1),(78,1)}
        66:{3,6}:{(49,1),(52,1),(81,1)}
        67:{2,5,7}:{(50,1),(51,1),(54,1),(75,1),(79,1),(82,1)}
        68:{2,5,6}:{(51,1),(52,1),(55,1),(76,1),(80,1),(82,1),(83,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(77,1),(81,1),(83,1),(96,1),(99,1)}
        70:{1,6}:{(54,1),(82,1)}
        71:{1,5,7}:{(55,1),(56,1),(83,1),(84,1)}
        72:{1,4}:{(57,1),(58,1),(85,1)}
        73:{2,5}:{(58,1),(59,1),(85,1),(86,1)}
        74:{1,3,6}:{(59,1),(62,1),(66,1),(86,1),(87,1)}
        75:{1,5,7}:{(60,1),(61,1),(67,1),(88,1)}
        76:{1,5,6}:{(61,1),(62,1),(68,1),(88,1),(89,1)}
        77:{1,4,7}:{(62,1),(63,1),(69,1),(87,1),(89,1)}
        78:{4,5}:{(65,1),(91,1)}
        79:{3,5,7}:{(64,1),(65,1),(67,1),(90,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(68,1),(91,1),(92,1),(93,1),(102,1)}
        81:{3,7}:{(66,1),(69,1)}
        82:{2,6}:{(67,1),(70,1),(88,1),(92,1)}
        83:{2,5,7}:{(68,1),(69,1),(71,1),(89,1),(93,1),(94,1)}
        84:{1,6,7}:{(70,1),(71,1),(94,1)}
        85:{1,5}:{(72,1),(73,1),(95,1)}
        86:{2,6}:{(73,1),(74,1),(95,1),(96,1)}
        87:{1,3,7}:{(74,1),(77,1),(81,1),(96,1)}
        88:{1,6}:{(75,1),(82,1)}
        89:{1,5,7}:{(76,1),(77,1),(83,1),(97,1)}
        90:{4,5,7}:{(78,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,6}:{(78,1),(80,1),(99,1)}
        92:{3,6}:{(79,1),(82,1),(98,1)}
        93:{3,5,7}:{(80,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        94:{2,6,7}:{(82,1),(83,1),(84,1),(97,1),(100,1)}
        95:{1,6}:{(85,1),(86,1),(101,1)}
        96:{2,7}:{(86,1),(87,1),(101,1)}
        97:{1,6,7}:{(88,1),(89,1),(94,1)}
        98:{4,6}:{(90,1),(92,1),(102,1)}
        99:{4,7}:{(91,1),(93,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{1,7}:{(95,1),(96,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 837 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 838 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 839 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 840 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(16,1),(18,1),(25,1),(73,1),(148,1),(151,1),(158,1),(160,1),(167,1),(220,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(11,1),(31,1),(36,1),(47,1),(53,1),(94,1),(105,1),(113,1),(129,1),(182,1),(198,1),(204,1),(205,1),(212,1),(262,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(193,1),(206,1),(209,1),(259,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(39,1),(42,1),(114,1),(196,1),(199,1),(213,1),(263,1)}
         4:{1,2,4,6}:{(6,1),(11,1),(12,1),(13,1),(53,1),(56,1),(129,1),(262,1),(265,1),(267,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(25,1),(63,1),(81,1),(142,1),(151,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(73,1),(77,1),(245,1),(248,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(75,1),(173,1),(226,1),(249,1),(251,1),(294,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(28,1),(59,1),(69,1),(88,1),(137,1),(152,1),(159,1),(246,1),(256,1),(299,1)}
         9:{2,4,5}:{(2,1),(16,1),(21,1),(23,1),(73,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(239,1),(252,1),(295,1)}
        11:{1,3,6}:{(4,1),(18,1),(27,1),(28,1),(301,1)}
        12:{1,2,5}:{(4,1),(19,1),(27,1),(173,1),(294,1)}
        13:{1,2,4,7}:{(4,1),(20,1),(28,1),(30,1),(88,1),(299,1),(300,1)}
        14:{1,2,4,6}:{(6,1),(31,1),(32,1),(33,1),(94,1),(97,1),(182,1),(212,1),(215,1),(217,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(35,1),(36,1),(37,1),(47,1),(105,1),(120,1),(188,1),(198,1),(208,1)}
        16:{2,4,6}:{(5,1),(9,1),(36,1),(38,1),(39,1)}
        17:{2,3,5,7}:{(5,1),(37,1),(39,1),(40,1),(101,1),(112,1),(189,1),(199,1)}
        18:{2,3,6}:{(6,1),(11,1),(31,1),(41,1),(42,1),(105,1),(287,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(285,1)}
        21:{1,4,5}:{(7,1),(9,1),(36,1),(43,1),(53,1),(94,1),(288,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(117,1),(290,1),(324,1)}
        23:{3,4,5}:{(9,1),(38,1),(113,1),(193,1),(391,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(39,1),(46,1),(48,1),(49,1),(112,1),(114,1),(206,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(280,1),(291,1),(325,1)}
        26:{1,2,5,6}:{(12,1),(35,1),(50,1),(51,1),(52,1),(56,1),(188,1),(209,1),(265,1),(273,1),(291,1),(323,1),(365,1)}
        27:{1,3,5}:{(11,1),(12,1),(41,1),(53,1)}
        28:{1,3,7}:{(11,1),(13,1),(42,1)}
        29:{1,2,4,5}:{(12,1),(43,1),(51,1),(53,1),(55,1),(119,1),(122,1),(128,1),(207,1),(209,1),(267,1),(323,1),(328,1),(363,1)}
        30:{1,2,5,7}:{(12,1),(13,1),(44,1),(54,1),(56,1),(324,1)}
        31:{1,3,6}:{(14,1),(18,1),(58,1),(59,1),(258,1)}
        32:{1,2,5}:{(14,1),(19,1),(58,1),(226,1),(251,1)}
        33:{1,2,4,7}:{(14,1),(20,1),(59,1),(61,1),(137,1),(256,1),(257,1)}
        34:{2,4,5,6}:{(16,1),(62,1),(63,1),(64,1),(81,1),(142,1),(147,1),(164,1),(240,1),(305,1),(379,1),(390,1)}
        35:{2,5,6}:{(15,1),(19,1),(66,1),(67,1),(77,1),(245,1)}
        36:{1,4,6}:{(15,1),(16,1),(21,1),(66,1),(69,1),(250,1)}
        37:{1,3,5,7}:{(15,1),(17,1),(67,1),(69,1),(70,1),(152,1),(156,1),(235,1),(246,1),(247,1)}
        38:{3,4,6}:{(16,1),(23,1),(63,1),(71,1),(390,1)}
        39:{2,4,7}:{(16,1),(17,1),(69,1),(71,1)}
        40:{2,3,6,7}:{(17,1),(25,1),(70,1),(72,1),(145,1),(236,1)}
        41:{2,3,5}:{(18,1),(19,1),(27,1),(58,1),(73,1),(75,1)}
        42:{2,3,7}:{(18,1),(20,1),(28,1),(59,1),(152,1)}
        43:{2,4,5}:{(19,1),(21,1),(66,1),(73,1),(75,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(77,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(68,1),(75,1),(78,1),(87,1),(136,1),(161,1),(165,1),(218,1),(228,1),(302,1),(350,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(69,1),(76,1),(79,1),(88,1),(137,1),(156,1),(173,1),(226,1)}
        47:{1,3,6}:{(22,1),(25,1),(77,1),(79,1),(162,1),(321,1),(348,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(71,1),(80,1),(157,1),(159,1),(239,1),(249,1),(318,1)}
        49:{2,4,6}:{(24,1),(25,1),(79,1),(80,1),(81,1)}
        50:{1,3,5,6}:{(26,1),(27,1),(65,1),(82,1),(83,1),(84,1),(89,1),(165,1),(173,1),(223,1),(253,1),(254,1),(294,1),(346,1),(348,1),(376,1),(388,1)}
        51:{1,2,4,6}:{(26,1),(29,1),(66,1),(82,1),(84,1),(85,1),(154,1),(167,1),(245,1),(305,1)}
        52:{1,2,5,7}:{(26,1),(67,1),(83,1),(85,1),(86,1),(235,1),(252,1),(300,1),(309,1)}
        53:{1,4}:{(27,1),(73,1)}
        54:{1,3,5,7}:{(27,1),(28,1),(30,1),(74,1),(88,1),(89,1),(173,1)}
        55:{1,3,5}:{(29,1),(75,1),(84,1),(87,1),(90,1),(301,1),(350,1)}
        56:{1,2,6}:{(30,1),(77,1),(89,1),(348,1)}
        57:{1,2,5,6}:{(32,1),(35,1),(91,1),(92,1),(93,1),(97,1),(188,1),(215,1),(259,1),(273,1),(289,1),(325,1),(345,1)}
        58:{1,3,5}:{(31,1),(32,1),(41,1),(94,1)}
        59:{1,3,7}:{(31,1),(33,1),(42,1)}
        60:{1,2,4,5}:{(32,1),(43,1),(92,1),(94,1),(96,1),(119,1),(175,1),(181,1),(207,1),(217,1),(259,1),(289,1),(328,1),(343,1)}
        61:{1,2,5,7}:{(32,1),(33,1),(44,1),(95,1),(97,1),(290,1)}
        62:{1,4,5,6}:{(34,1),(36,1),(98,1),(99,1),(100,1),(120,1),(122,1),(175,1),(188,1),(211,1),(261,1),(270,1),(369,1)}
        63:{3,5,6}:{(34,1),(38,1),(101,1),(193,1),(280,1),(332,1)}
        64:{2,4,5,7}:{(34,1),(39,1),(100,1),(101,1),(102,1),(112,1),(189,1),(203,1),(333,1),(371,1),(386,1)}
        65:{2,3,5,6}:{(35,1),(41,1),(50,1),(91,1),(103,1),(104,1),(105,1),(115,1),(126,1),(179,1),(193,1),(206,1),(208,1),(209,1),(259,1),(273,1),(280,1),(281,1),(291,1),(325,1),(332,1),(338,1),(373,1),(385,1),(387,1)}
        66:{2,4,6}:{(35,1),(36,1),(43,1),(105,1),(106,1)}
        67:{2,5,7}:{(35,1),(37,1),(106,1),(107,1),(285,1)}
        68:{1,3,4,6}:{(36,1),(38,1),(45,1),(99,1),(105,1),(108,1),(109,1),(184,1),(198,1),(270,1),(332,1)}
        69:{1,4,7}:{(36,1),(37,1),(39,1),(106,1),(286,1)}
        70:{1,3,6,7}:{(37,1),(40,1),(47,1),(107,1),(110,1),(200,1),(277,1)}
        71:{3,4,7}:{(38,1),(39,1),(101,1),(386,1)}
        72:{2,4,6,7}:{(39,1),(40,1),(49,1),(110,1),(111,1),(112,1)}
        73:{2,4}:{(41,1),(53,1),(94,1),(113,1)}
        74:{2,3,5,7}:{(41,1),(42,1),(44,1),(54,1),(95,1),(114,1),(115,1),(117,1),(206,1)}
        75:{3,5}:{(43,1),(105,1),(113,1)}
        76:{2,4,5,7}:{(43,1),(44,1),(46,1),(106,1),(114,1),(117,1),(118,1),(201,1),(206,1),(286,1),(288,1)}
        77:{2,6}:{(44,1),(47,1)}
        78:{2,4,5}:{(45,1),(108,1),(116,1),(119,1),(128,1),(181,1),(207,1),(209,1),(259,1)}
        79:{1,4,6}:{(46,1),(47,1),(49,1),(118,1),(120,1)}
        80:{3,4,6}:{(48,1),(49,1),(121,1),(280,1),(341,1)}
        81:{2,5,6}:{(49,1),(112,1),(120,1),(121,1),(206,1)}
        82:{1,4,6}:{(50,1),(53,1),(103,1),(122,1),(124,1),(363,1)}
        83:{1,3,5,7}:{(50,1),(52,1),(104,1),(124,1),(125,1),(127,1),(214,1),(266,1),(324,1)}
        84:{1,3,6}:{(51,1),(55,1),(105,1),(126,1),(127,1),(332,1)}
        85:{1,2,4,7}:{(51,1),(52,1),(106,1),(124,1),(127,1),(202,1),(213,1),(285,1),(333,1)}
        86:{1,2,6,7}:{(52,1),(56,1),(107,1),(125,1),(277,1),(291,1),(337,1),(365,1)}
        87:{1,3,4}:{(53,1),(55,1),(113,1),(128,1),(363,1),(366,1)}
        88:{1,4,7}:{(53,1),(54,1),(114,1),(129,1)}
        89:{1,3,6}:{(54,1),(56,1),(115,1),(129,1)}
        90:{2,3,5}:{(55,1),(126,1),(128,1),(130,1),(207,1),(209,1),(287,1)}
        91:{1,3,5,6}:{(57,1),(58,1),(65,1),(131,1),(132,1),(133,1),(138,1),(170,1),(218,1),(226,1),(251,1),(296,1),(297,1),(319,1),(321,1),(362,1),(382,1)}
        92:{1,2,4,6}:{(57,1),(60,1),(66,1),(131,1),(133,1),(134,1),(154,1),(220,1),(245,1),(305,1)}
        93:{1,2,5,7}:{(57,1),(67,1),(132,1),(134,1),(135,1),(235,1),(257,1),(295,1),(309,1)}
        94:{1,4}:{(58,1),(73,1)}
        95:{1,3,5,7}:{(58,1),(59,1),(61,1),(74,1),(137,1),(138,1),(226,1)}
        96:{1,3,5}:{(60,1),(75,1),(133,1),(136,1),(139,1),(258,1),(350,1)}
        97:{1,2,6}:{(61,1),(77,1),(138,1),(321,1)}
        98:{2,4,5,6}:{(62,1),(66,1),(140,1),(141,1),(142,1),(147,1),(163,1),(229,1),(240,1),(250,1),(353,1),(354,1)}
        99:{1,3,5,6}:{(62,1),(63,1),(68,1),(140,1),(142,1),(143,1),(165,1),(218,1),(253,1),(296,1)}
       100:{1,4,5,7}:{(62,1),(64,1),(69,1),(141,1),(143,1),(144,1),(156,1),(235,1),(306,1),(357,1)}
       101:{3,5,7}:{(63,1),(64,1),(71,1),(145,1),(355,1)}
       102:{2,4,6,7}:{(64,1),(144,1),(145,1),(146,1),(236,1),(237,1),(240,1)}
       103:{2,4,6}:{(65,1),(73,1),(82,1),(131,1),(147,1),(148,1),(149,1),(250,1),(358,1),(390,1)}
       104:{2,3,5,7}:{(65,1),(67,1),(83,1),(132,1),(149,1),(150,1),(152,1),(171,1),(224,1),(239,1),(244,1),(247,1),(252,1),(295,1),(309,1),(355,1),(380,1)}
       105:{3,6}:{(66,1),(75,1),(152,1)}
       106:{2,4,7}:{(66,1),(67,1),(69,1),(152,1)}
       107:{2,6,7}:{(67,1),(70,1),(77,1)}
       108:{2,4,6}:{(68,1),(78,1),(142,1),(151,1),(154,1),(155,1),(245,1)}
       109:{1,3,4,7}:{(68,1),(69,1),(71,1),(143,1),(152,1),(155,1),(230,1),(246,1),(306,1),(355,1)}
       110:{1,4,6,7}:{(69,1),(70,1),(72,1),(79,1),(153,1),(156,1)}
       111:{3,4,6,7}:{(71,1),(72,1),(80,1),(145,1),(157,1),(237,1)}
       112:{2,5,7}:{(72,1),(81,1),(156,1),(157,1)}
       113:{3,4}:{(73,1),(75,1)}
       114:{2,4,7}:{(73,1),(74,1),(88,1),(137,1),(159,1),(160,1)}
       115:{2,3,6}:{(74,1),(77,1),(89,1),(138,1),(160,1),(162,1)}
       116:{2,3,5}:{(75,1),(78,1),(151,1),(158,1),(161,1),(350,1)}
       117:{3,5,7}:{(75,1),(76,1),(152,1),(159,1),(162,1),(249,1)}
       118:{2,4,6}:{(76,1),(77,1),(79,1),(162,1),(163,1),(250,1)}
       119:{1,4,5}:{(78,1),(154,1),(161,1),(172,1),(225,1),(251,1),(294,1)}
       120:{1,5,6}:{(79,1),(81,1),(156,1),(163,1),(173,1),(226,1)}
       121:{3,5,6}:{(80,1),(81,1),(157,1),(164,1),(249,1)}
       122:{1,4,5}:{(82,1),(147,1),(165,1),(173,1),(294,1),(388,1)}
       123:{1,3,4,6}:{(82,1),(84,1),(87,1),(148,1),(165,1),(167,1),(168,1),(253,1)}
       124:{1,4,7}:{(82,1),(83,1),(149,1)}
       125:{1,3,6,7}:{(83,1),(86,1),(89,1),(150,1),(169,1),(253,1),(348,1),(376,1)}
       126:{2,3,6}:{(84,1),(90,1),(167,1),(170,1),(171,1),(245,1)}
       127:{1,3,7}:{(84,1),(85,1),(152,1),(171,1),(355,1)}
       128:{2,4}:{(87,1),(90,1),(172,1)}
       129:{1,4,6}:{(88,1),(89,1),(160,1),(173,1)}
       130:{1,3,5}:{(90,1),(170,1),(172,1),(174,1),(251,1),(258,1)}
       131:{1,4,6}:{(91,1),(94,1),(103,1),(175,1),(177,1),(343,1)}
       132:{1,3,5,7}:{(91,1),(93,1),(104,1),(177,1),(178,1),(180,1),(216,1),(264,1),(290,1)}
       133:{1,3,6}:{(92,1),(96,1),(105,1),(179,1),(180,1),(332,1)}
       134:{1,2,4,7}:{(92,1),(93,1),(106,1),(177,1),(180,1),(202,1),(263,1),(285,1),(333,1)}
       135:{1,2,6,7}:{(93,1),(97,1),(107,1),(178,1),(277,1),(325,1),(337,1),(345,1)}
       136:{1,3,4}:{(94,1),(96,1),(113,1),(181,1),(343,1),(366,1)}
       137:{1,4,7}:{(94,1),(95,1),(114,1),(182,1)}
       138:{1,3,6}:{(95,1),(97,1),(115,1),(182,1)}
       139:{2,3,5}:{(96,1),(179,1),(181,1),(183,1),(207,1),(259,1),(287,1)}
       140:{3,5,6}:{(98,1),(105,1),(184,1),(186,1),(193,1),(280,1)}
       141:{2,4,5,7}:{(98,1),(100,1),(106,1),(186,1),(187,1),(189,1),(201,1),(271,1),(286,1),(335,1),(336,1)}
       142:{2,5,6}:{(99,1),(108,1),(188,1),(189,1),(209,1),(259,1),(291,1),(325,1)}
       143:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(186,1),(189,1),(190,1)}
       144:{1,4,6,7}:{(100,1),(102,1),(187,1),(190,1),(191,1),(211,1),(261,1),(277,1)}
       145:{3,6,7}:{(101,1),(102,1),(280,1)}
       146:{2,5,6,7}:{(102,1),(112,1),(191,1),(192,1),(281,1),(371,1)}
       147:{2,4,5}:{(103,1),(122,1),(175,1),(193,1),(206,1),(209,1),(259,1),(288,1),(387,1),(391,1)}
       148:{3,4,6}:{(103,1),(105,1),(113,1),(193,1),(196,1),(280,1),(332,1),(366,1)}
       149:{2,4,7}:{(103,1),(104,1),(124,1),(177,1),(196,1),(286,1),(386,1)}
       150:{2,3,6,7}:{(104,1),(107,1),(115,1),(125,1),(178,1),(197,1),(200,1),(280,1),(291,1),(325,1),(337,1),(370,1),(373,1)}
       151:{2,3,6}:{(105,1),(108,1),(116,1),(198,1),(199,1),(332,1)}
       152:{3,7}:{(105,1),(106,1)}
       153:{2,4,6,7}:{(106,1),(107,1),(110,1),(118,1),(200,1),(201,1),(286,1)}
       154:{1,4,6}:{(108,1),(119,1),(188,1),(198,1),(202,1)}
       155:{2,4,7}:{(108,1),(109,1),(189,1),(199,1),(202,1),(285,1)}
       156:{1,5,7}:{(110,1),(112,1),(120,1),(201,1)}
       157:{3,5,7}:{(111,1),(112,1),(121,1),(203,1)}
       158:{2,3,4}:{(113,1),(116,1),(128,1),(181,1),(204,1),(287,1),(366,1)}
       159:{3,4,7}:{(113,1),(114,1),(117,1),(205,1),(286,1)}
       160:{2,4,6}:{(114,1),(115,1),(129,1),(182,1),(205,1),(206,1)}
       161:{1,3,5}:{(116,1),(119,1),(198,1),(204,1),(207,1)}
       162:{3,6}:{(117,1),(118,1)}
       163:{2,5,6}:{(118,1),(120,1),(201,1),(206,1),(208,1)}
       164:{4,5,6}:{(121,1),(203,1),(288,1),(341,1)}
       165:{1,3,5}:{(122,1),(123,1),(193,1),(209,1)}
       166:{1,4,5,7}:{(122,1),(124,1),(194,1),(210,1),(211,1),(214,1),(324,1)}
       167:{2,4,6}:{(123,1),(126,1),(128,1),(209,1),(212,1),(213,1),(291,1)}
       168:{1,3,4,7}:{(123,1),(124,1),(127,1),(196,1),(210,1),(213,1)}
       169:{1,4,6,7}:{(124,1),(125,1),(129,1),(197,1),(211,1),(214,1),(383,1)}
       170:{1,3,6}:{(126,1),(130,1),(212,1),(215,1),(216,1)}
       171:{2,3,7}:{(126,1),(127,1),(213,1),(216,1),(285,1)}
       172:{1,4}:{(128,1),(130,1)}
       173:{1,5}:{(129,1),(206,1)}
       174:{1,2,5}:{(130,1),(207,1),(215,1),(217,1)}
       175:{1,4,5}:{(131,1),(147,1),(218,1),(226,1),(251,1),(382,1)}
       176:{1,3,4,6}:{(131,1),(133,1),(136,1),(148,1),(218,1),(220,1),(221,1),(296,1)}
       177:{1,4,7}:{(131,1),(132,1),(149,1)}
       178:{1,3,6,7}:{(132,1),(135,1),(138,1),(150,1),(222,1),(296,1),(321,1),(362,1)}
       179:{2,3,6}:{(133,1),(139,1),(220,1),(223,1),(224,1),(245,1)}
       180:{1,3,7}:{(133,1),(134,1),(152,1),(224,1),(355,1)}
       181:{2,4}:{(136,1),(139,1),(225,1)}
       182:{1,4,6}:{(137,1),(138,1),(160,1),(226,1)}
       183:{1,3,5}:{(139,1),(223,1),(225,1),(227,1),(294,1),(301,1)}
       184:{3,4,6}:{(140,1),(228,1),(229,1),(230,1),(250,1)}
       185:{2,3,5,6}:{(140,1),(142,1),(151,1),(229,1),(231,1),(232,1),(238,1),(314,1),(353,1)}
       186:{3,5,7}:{(140,1),(141,1),(152,1),(230,1),(233,1)}
       187:{2,4,6,7}:{(141,1),(144,1),(233,1),(234,1),(236,1),(240,1),(311,1)}
       188:{1,5,6}:{(142,1),(154,1),(235,1),(251,1),(294,1),(321,1),(348,1)}
       189:{2,5,7}:{(142,1),(143,1),(155,1),(235,1),(236,1)}
       190:{1,3,6,7}:{(143,1),(144,1),(145,1),(233,1),(236,1),(253,1),(296,1)}
       191:{1,5,6,7}:{(144,1),(146,1),(156,1),(234,1),(254,1),(297,1),(357,1)}
       192:{3,5,6,7}:{(145,1),(146,1),(157,1),(237,1),(315,1),(380,1)}
       193:{3,5}:{(147,1),(148,1)}
       194:{2,4,5,7}:{(147,1),(149,1),(166,1),(219,1),(239,1),(240,1),(244,1),(252,1),(295,1),(318,1)}
       195:{2,3,4,6}:{(148,1),(151,1),(158,1),(167,1),(220,1),(229,1),(238,1),(241,1),(242,1),(314,1),(316,1),(358,1),(381,1)}
       196:{3,4,7}:{(148,1),(149,1),(152,1),(239,1),(355,1)}
       197:{2,4,6,7}:{(149,1),(150,1),(160,1),(169,1),(222,1),(240,1),(243,1),(244,1),(381,1)}
       198:{1,3,6}:{(151,1),(154,1),(161,1),(245,1),(246,1)}
       199:{2,3,7}:{(151,1),(152,1),(155,1),(246,1),(355,1)}
       200:{3,6,7}:{(152,1),(153,1),(162,1),(247,1)}
       201:{2,5,7}:{(153,1),(156,1),(163,1),(247,1)}
       202:{1,4,7}:{(154,1),(155,1),(235,1),(246,1)}
       203:{4,5,7}:{(157,1),(164,1),(237,1)}
       204:{1,3,4}:{(158,1),(161,1),(172,1),(225,1),(248,1),(258,1),(301,1)}
       205:{3,4,6}:{(159,1),(160,1),(162,1),(249,1),(250,1)}
       206:{2,5}:{(160,1),(173,1),(226,1),(249,1)}
       207:{2,5}:{(161,1),(245,1),(248,1)}
       208:{3,5,6}:{(162,1),(163,1),(247,1),(249,1),(250,1)}
       209:{2,5}:{(165,1),(167,1),(251,1)}
       210:{1,3,5,7}:{(165,1),(166,1),(168,1),(239,1),(252,1),(253,1)}
       211:{1,4,6}:{(166,1),(240,1),(253,1),(254,1),(348,1)}
       212:{1,4,6}:{(167,1),(170,1),(172,1),(251,1),(256,1),(321,1)}
       213:{2,4,7}:{(167,1),(168,1),(171,1),(252,1),(256,1)}
       214:{1,5,7}:{(169,1),(173,1),(244,1),(254,1),(388,1)}
       215:{1,2,6}:{(170,1),(174,1),(245,1),(257,1)}
       216:{1,3,7}:{(170,1),(171,1),(256,1),(257,1)}
       217:{1,2,4}:{(172,1),(174,1),(248,1),(258,1)}
       218:{1,3,5}:{(175,1),(176,1),(193,1),(259,1)}
       219:{1,4,5,7}:{(175,1),(177,1),(194,1),(260,1),(261,1),(264,1),(290,1)}
       220:{2,4,6}:{(176,1),(179,1),(181,1),(259,1),(262,1),(263,1),(325,1)}
       221:{1,3,4,7}:{(176,1),(177,1),(180,1),(196,1),(260,1),(263,1)}
       222:{1,4,6,7}:{(177,1),(178,1),(182,1),(197,1),(261,1),(264,1),(374,1)}
       223:{1,3,6}:{(179,1),(183,1),(262,1),(265,1),(266,1)}
       224:{2,3,7}:{(179,1),(180,1),(263,1),(266,1),(285,1)}
       225:{1,4}:{(181,1),(183,1)}
       226:{1,5}:{(182,1),(206,1)}
       227:{1,2,5}:{(183,1),(207,1),(265,1),(267,1)}
       228:{3,4,5}:{(184,1),(193,1),(268,1),(288,1),(366,1)}
       229:{2,4,6}:{(184,1),(185,1),(268,1),(270,1),(271,1)}
       230:{3,4,7}:{(184,1),(186,1),(271,1),(286,1)}
       231:{1,3,5,6}:{(185,1),(188,1),(198,1),(270,1),(273,1),(274,1),(278,1),(332,1),(340,1),(369,1),(385,1)}
       232:{2,3,5,7}:{(185,1),(186,1),(189,1),(199,1),(271,1),(274,1),(275,1),(335,1)}
       233:{3,6,7}:{(186,1),(187,1),(280,1)}
       234:{2,5,6,7}:{(187,1),(191,1),(201,1),(276,1),(281,1),(335,1)}
       235:{1,5,7}:{(188,1),(189,1),(202,1),(277,1)}
       236:{2,6,7}:{(189,1),(190,1),(277,1),(291,1),(325,1)}
       237:{4,6,7}:{(192,1),(203,1),(341,1),(386,1)}
       238:{2,3,5}:{(193,1),(195,1),(209,1),(259,1),(268,1),(278,1),(387,1)}
       239:{3,5,7}:{(193,1),(194,1),(196,1),(280,1)}
       240:{2,4,6}:{(194,1),(211,1),(261,1),(280,1),(281,1),(291,1),(325,1),(341,1)}
       241:{1,3,4,6}:{(195,1),(198,1),(204,1),(212,1),(262,1),(270,1),(278,1),(282,1),(283,1),(292,1),(326,1),(332,1),(340,1),(343,1),(363,1),(366,1),(374,1),(383,1),(384,1)}
       242:{2,3,4,7}:{(195,1),(196,1),(199,1),(213,1),(263,1),(271,1),(279,1),(283,1),(342,1),(372,1)}
       243:{3,4,6,7}:{(196,1),(197,1),(200,1),(205,1),(280,1),(284,1),(286,1),(341,1),(370,1),(384,1),(386,1)}
       244:{2,5,7}:{(197,1),(206,1),(214,1),(264,1),(281,1),(284,1),(387,1)}
       245:{2,6}:{(198,1),(207,1),(285,1)}
       246:{1,3,7}:{(198,1),(199,1),(202,1),(285,1)}
       247:{3,5,7}:{(200,1),(201,1),(208,1),(286,1)}
       248:{2,4}:{(204,1),(207,1),(287,1)}
       249:{3,5}:{(205,1),(206,1),(288,1)}
       250:{4,6}:{(208,1),(286,1),(288,1)}
       251:{1,5}:{(209,1),(212,1)}
       252:{2,5,7}:{(209,1),(210,1),(213,1),(290,1),(291,1)}
       253:{1,3,6}:{(210,1),(211,1),(280,1),(291,1)}
       254:{1,5,6}:{(211,1),(214,1),(281,1)}
       255:{1,2,4,6}:{(212,1),(215,1),(217,1),(282,1),(289,1),(292,1),(293,1),(343,1),(345,1),(374,1)}
       256:{1,4,7}:{(212,1),(213,1),(216,1),(290,1)}
       257:{1,2,7}:{(215,1),(216,1),(285,1)}
       258:{1,3}:{(217,1),(287,1)}
       259:{2,5}:{(218,1),(220,1),(294,1)}
       260:{1,3,5,7}:{(218,1),(219,1),(221,1),(239,1),(295,1),(296,1)}
       261:{1,4,6}:{(219,1),(240,1),(296,1),(297,1),(321,1)}
       262:{1,4,6}:{(220,1),(223,1),(225,1),(294,1),(299,1),(348,1)}
       263:{2,4,7}:{(220,1),(221,1),(224,1),(295,1),(299,1)}
       264:{1,5,7}:{(222,1),(226,1),(244,1),(297,1),(382,1)}
       265:{1,2,6}:{(223,1),(227,1),(245,1),(300,1)}
       266:{1,3,7}:{(223,1),(224,1),(299,1),(300,1)}
       267:{1,2,4}:{(225,1),(227,1),(248,1),(301,1)}
       268:{2,4,5}:{(228,1),(229,1),(238,1),(302,1),(358,1)}
       269:{3,4,5,7}:{(228,1),(230,1),(239,1),(303,1),(304,1),(308,1),(318,1),(377,1),(389,1)}
       270:{1,4,6}:{(229,1),(231,1),(302,1),(305,1),(306,1),(390,1)}
       271:{2,4,7}:{(229,1),(230,1),(232,1),(306,1)}
       272:{3,4,6,7}:{(230,1),(233,1),(304,1),(307,1),(308,1),(311,1)}
       273:{2,5,6}:{(231,1),(245,1),(305,1),(309,1),(312,1),(360,1)}
       274:{1,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(306,1),(309,1),(310,1),(355,1),(357,1),(380,1)}
       275:{2,3,6,7}:{(232,1),(233,1),(236,1),(307,1),(310,1),(314,1)}
       276:{3,5,6,7}:{(233,1),(234,1),(247,1),(308,1),(311,1),(315,1)}
       277:{1,6,7}:{(235,1),(236,1),(321,1),(348,1)}
       278:{1,3,5}:{(238,1),(241,1),(251,1),(294,1),(302,1),(312,1),(350,1),(382,1),(388,1),(389,1)}
       279:{2,3,5,7}:{(238,1),(239,1),(242,1),(252,1),(295,1),(303,1),(313,1),(314,1)}
       280:{3,6}:{(239,1),(240,1)}
       281:{2,5,6}:{(240,1),(244,1),(254,1),(297,1),(315,1)}
       282:{2,4,6}:{(241,1),(245,1),(248,1),(312,1),(316,1),(317,1),(358,1),(360,1)}
       283:{1,3,4,7}:{(241,1),(242,1),(246,1),(256,1),(299,1),(306,1),(313,1),(317,1),(322,1),(349,1),(355,1),(361,1),(375,1),(377,1)}
       284:{3,5,7}:{(243,1),(244,1),(249,1),(315,1),(318,1),(389,1)}
       285:{2,7}:{(245,1),(246,1)}
       286:{4,7}:{(247,1),(250,1)}
       287:{2,3}:{(248,1),(258,1),(301,1)}
       288:{4,5}:{(249,1),(250,1)}
       289:{1,2,5}:{(251,1),(255,1),(312,1),(319,1),(382,1)}
       290:{1,5,7}:{(251,1),(252,1),(256,1),(321,1)}
       291:{2,6}:{(252,1),(253,1),(321,1)}
       292:{1,3,6}:{(255,1),(258,1),(316,1),(319,1),(322,1)}
       293:{1,2,4,7}:{(255,1),(256,1),(257,1),(317,1),(320,1),(322,1),(361,1)}
       294:{1,5}:{(259,1),(262,1)}
       295:{2,5,7}:{(259,1),(260,1),(263,1),(324,1),(325,1)}
       296:{1,3,6}:{(260,1),(261,1),(280,1),(325,1)}
       297:{1,5,6}:{(261,1),(264,1),(281,1)}
       298:{1,2,4,6}:{(262,1),(265,1),(267,1),(282,1),(323,1),(326,1),(327,1),(363,1),(365,1),(383,1)}
       299:{1,4,7}:{(262,1),(263,1),(266,1),(324,1)}
       300:{1,2,7}:{(265,1),(266,1),(285,1)}
       301:{1,3}:{(267,1),(287,1)}
       302:{1,4,5}:{(268,1),(270,1),(278,1),(328,1),(343,1),(363,1),(391,1)}
       303:{2,4,5,7}:{(268,1),(269,1),(271,1),(279,1),(329,1),(330,1),(335,1),(372,1),(387,1)}
       304:{3,4,6}:{(269,1),(280,1),(330,1),(331,1),(341,1)}
       305:{2,4,6}:{(270,1),(273,1),(328,1),(332,1),(333,1)}
       306:{1,4,7}:{(270,1),(271,1),(274,1),(333,1),(386,1)}
       307:{2,4,6,7}:{(271,1),(272,1),(275,1),(330,1),(334,1),(335,1)}
       308:{3,5,7}:{(272,1),(331,1),(335,1),(336,1)}
       309:{2,5,7}:{(273,1),(274,1),(285,1),(333,1),(337,1)}
       310:{1,3,6,7}:{(274,1),(275,1),(277,1),(334,1),(337,1),(340,1),(370,1)}
       311:{4,6,7}:{(276,1),(286,1),(336,1),(341,1)}
       312:{2,5}:{(278,1),(282,1)}
       313:{1,3,5,7}:{(278,1),(279,1),(283,1),(290,1),(324,1),(329,1),(339,1),(340,1),(367,1)}
       314:{2,3,6}:{(279,1),(280,1),(291,1),(325,1),(330,1),(340,1)}
       315:{3,5,6}:{(280,1),(281,1),(284,1),(341,1)}
       316:{2,3,6}:{(282,1),(287,1),(292,1),(326,1),(332,1),(338,1),(342,1)}
       317:{2,4,7}:{(282,1),(283,1),(285,1),(339,1),(342,1)}
       318:{4,5,7}:{(284,1),(286,1),(288,1),(341,1),(386,1),(391,1)}
       319:{1,3,5}:{(289,1),(292,1),(338,1),(343,1)}
       320:{1,2,5,7}:{(289,1),(290,1),(293,1),(339,1),(344,1),(345,1)}
       321:{1,6}:{(290,1),(291,1)}
       322:{1,3,7}:{(292,1),(293,1),(342,1)}
       323:{1,2,5}:{(294,1),(298,1),(312,1),(346,1),(388,1)}
       324:{1,5,7}:{(294,1),(295,1),(299,1),(348,1)}
       325:{2,6}:{(295,1),(296,1),(348,1)}
       326:{1,3,6}:{(298,1),(301,1),(316,1),(346,1),(349,1)}
       327:{1,2,4,7}:{(298,1),(299,1),(300,1),(317,1),(347,1),(349,1),(375,1)}
       328:{2,4,5}:{(302,1),(305,1),(312,1),(350,1),(358,1)}
       329:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(351,1),(352,1),(357,1),(361,1),(375,1),(382,1),(388,1)}
       330:{2,4,6}:{(303,1),(304,1),(314,1),(352,1),(353,1)}
       331:{3,5,6}:{(304,1),(308,1),(353,1),(354,1),(389,1)}
       332:{3,6}:{(305,1),(350,1),(355,1)}
       333:{2,4,7}:{(305,1),(306,1),(309,1),(355,1)}
       334:{1,4,6,7}:{(306,1),(307,1),(310,1),(352,1),(356,1),(357,1)}
       335:{2,5,7}:{(307,1),(308,1),(353,1),(357,1)}
       336:{4,5,7}:{(308,1),(311,1),(354,1)}
       337:{2,6,7}:{(309,1),(310,1),(360,1)}
       338:{2,3,5}:{(312,1),(316,1),(319,1),(346,1),(350,1),(358,1)}
       339:{2,5,7}:{(312,1),(313,1),(317,1),(360,1)}
       340:{1,3,6}:{(313,1),(314,1),(321,1),(348,1),(352,1),(360,1),(378,1)}
       341:{4,6}:{(315,1),(318,1)}
       342:{2,3,7}:{(316,1),(317,1),(322,1),(349,1),(355,1)}
       343:{1,4}:{(319,1),(358,1)}
       344:{1,3,5,7}:{(319,1),(320,1),(322,1),(359,1),(361,1),(362,1),(382,1)}
       345:{1,2,6}:{(320,1),(321,1),(360,1),(362,1)}
       346:{1,3,5}:{(323,1),(326,1),(338,1),(363,1)}
       347:{1,2,5,7}:{(323,1),(324,1),(327,1),(339,1),(364,1),(365,1)}
       348:{1,6}:{(324,1),(325,1)}
       349:{1,3,7}:{(326,1),(327,1),(342,1)}
       350:{3,5}:{(328,1),(332,1),(366,1)}
       351:{2,4,5,7}:{(328,1),(329,1),(333,1),(339,1),(367,1),(368,1),(371,1),(372,1),(386,1),(387,1),(391,1)}
       352:{1,4,6}:{(329,1),(330,1),(340,1),(368,1),(369,1)}
       353:{2,5,6}:{(330,1),(331,1),(335,1),(369,1),(387,1)}
       354:{4,5,6}:{(331,1),(336,1),(341,1),(391,1)}
       355:{3,7}:{(332,1),(333,1)}
       356:{2,4,6,7}:{(333,1),(334,1),(337,1),(368,1),(370,1),(371,1),(386,1)}
       357:{1,5,7}:{(334,1),(335,1),(369,1),(371,1)}
       358:{2,4}:{(338,1),(343,1),(363,1),(366,1)}
       359:{2,3,5,7}:{(338,1),(339,1),(342,1),(344,1),(364,1),(367,1),(372,1),(373,1),(387,1)}
       360:{2,6}:{(339,1),(340,1)}
       361:{1,4,7}:{(343,1),(344,1),(372,1),(374,1)}
       362:{1,3,6}:{(344,1),(345,1),(373,1),(374,1)}
       363:{1,4}:{(346,1),(358,1)}
       364:{1,3,5,7}:{(346,1),(347,1),(349,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,2,6}:{(347,1),(348,1),(360,1),(376,1)}
       366:{3,4}:{(350,1),(358,1)}
       367:{3,5,7}:{(350,1),(351,1),(355,1),(377,1),(378,1),(389,1)}
       368:{2,4,6}:{(351,1),(352,1),(360,1),(378,1),(379,1),(390,1)}
       369:{1,5,6}:{(352,1),(353,1),(357,1),(379,1),(382,1),(388,1)}
       370:{3,6,7}:{(355,1),(356,1),(378,1),(380,1)}
       371:{2,5,7}:{(356,1),(357,1),(379,1),(380,1)}
       372:{2,4,7}:{(358,1),(359,1),(361,1),(375,1),(377,1),(381,1)}
       373:{2,3,6}:{(359,1),(360,1),(362,1),(376,1),(378,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,4,7}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,3,6}:{(364,1),(365,1),(373,1),(383,1)}
       377:{3,4,7}:{(366,1),(367,1),(372,1),(384,1),(386,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{2,5,6}:{(368,1),(369,1),(371,1),(385,1),(387,1)}
       380:{3,5,7}:{(370,1),(371,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(384,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,4,6}:{(377,1),(378,1),(381,1),(389,1),(390,1)}
       385:{3,5,6}:{(378,1),(379,1),(380,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(389,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{3,5}:{(384,1),(387,1),(391,1)}
       390:{4,6}:{(385,1),(386,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 841 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(70,1),(76,1),(219,1),(221,1),(229,1),(272,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(40,1),(51,1),(94,1),(111,1),(168,1),(244,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(52,1),(88,1),(94,1),(109,1),(182,1),(259,1),(265,1),(303,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(104,1),(112,1),(181,1),(183,1),(186,1),(192,1),(238,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(52,1),(303,1),(305,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(28,1),(66,1),(70,1),(76,1),(141,1)}
         7:{3,4,6}:{(1,1),(18,1),(20,1),(277,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(17,1),(21,1),(22,1),(27,1),(62,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(18,1),(22,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(21,1),(25,1),(26,1),(293,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(22,1),(26,1),(27,1),(31,1),(60,1),(75,1),(81,1),(86,1),(123,1),(128,1),(130,1),(145,1),(148,1),(222,1),(224,1),(230,1),(273,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(141,1),(218,1),(228,1),(271,1)}
        13:{1,2,5,7}:{(5,1),(21,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(81,1),(86,1),(273,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(88,1),(265,1),(267,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(36,1),(37,1),(50,1),(52,1),(88,1),(98,1),(109,1),(116,1),(160,1)}
        18:{2,4,6}:{(6,1),(7,1),(9,1),(37,1),(39,1)}
        19:{3,4,6,7}:{(7,1),(38,1),(40,1),(103,1),(111,1),(177,1)}
        20:{3,5,6}:{(7,1),(39,1),(40,1),(41,1),(168,1)}
        21:{2,5,7}:{(8,1),(10,1),(43,1),(49,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(43,1),(95,1),(322,1),(347,1)}
        23:{2,3,6,7}:{(9,1),(38,1),(44,1),(46,1),(177,1),(252,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(39,1),(45,1),(46,1),(47,1),(102,1),(176,1),(183,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(182,1)}
        26:{2,4,6}:{(10,1),(11,1),(43,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(116,1),(160,1),(168,1),(264,1),(302,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(42,1),(52,1),(53,1),(56,1),(116,1)}
        30:{1,2,6}:{(13,1),(43,1),(53,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(116,1),(302,1)}
        33:{1,2,5,7}:{(16,1),(21,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(123,1),(128,1),(230,1),(232,1),(233,1)}
        36:{2,4,5,7}:{(17,1),(21,1),(62,1),(63,1),(70,1),(79,1),(133,1),(141,1),(144,1),(206,1),(208,1)}
        37:{1,4,6}:{(17,1),(18,1),(22,1),(63,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(19,1),(23,1),(64,1),(66,1),(76,1)}
        39:{2,5,6}:{(18,1),(20,1),(65,1),(66,1),(141,1)}
        40:{3,5,7}:{(19,1),(20,1),(66,1),(69,1)}
        41:{4,5,6}:{(20,1),(69,1),(206,1),(277,1)}
        42:{2,3,5,7}:{(21,1),(25,1),(29,1),(58,1),(62,1),(70,1),(71,1),(78,1),(141,1)}
        43:{2,6}:{(21,1),(22,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(64,1),(72,1),(74,1),(131,1),(287,1)}
        45:{1,3,5,6}:{(22,1),(24,1),(27,1),(65,1),(73,1),(74,1),(75,1),(132,1),(145,1),(215,1),(222,1)}
        46:{2,3,5,7}:{(23,1),(24,1),(66,1),(74,1),(76,1),(139,1),(214,1),(221,1)}
        47:{2,4,6}:{(24,1),(28,1),(75,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(145,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(75,1),(79,1),(86,1),(128,1),(206,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(218,1),(391,1)}
        52:{1,4,7}:{(29,1),(70,1),(81,1),(86,1)}
        53:{1,3,6}:{(29,1),(30,1),(71,1),(81,1)}
        54:{1,2,6,7}:{(30,1),(72,1),(82,1),(84,1),(287,1),(295,1),(339,1),(363,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(73,1),(83,1),(84,1),(85,1),(215,1),(228,1),(275,1),(286,1),(295,1),(328,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(152,1),(157,1),(225,1),(228,1),(276,1),(328,1),(334,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(42,1),(88,1),(89,1),(92,1),(160,1)}
        59:{1,2,6}:{(33,1),(43,1),(89,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(160,1),(264,1)}
        62:{3,5,7}:{(36,1),(94,1),(95,1),(113,1),(168,1),(182,1)}
        63:{2,4,6}:{(36,1),(37,1),(43,1),(95,1),(97,1),(170,1)}
        64:{1,4,6,7}:{(37,1),(38,1),(44,1),(96,1),(98,1),(109,1)}
        65:{1,5,6}:{(37,1),(39,1),(97,1),(98,1),(116,1),(160,1)}
        66:{2,5,7}:{(38,1),(39,1),(40,1),(98,1)}
        67:{2,4,5,6}:{(39,1),(41,1),(47,1),(99,1),(101,1),(102,1),(176,1),(179,1),(254,1),(314,1),(377,1),(389,1)}
        68:{3,5,6,7}:{(40,1),(100,1),(103,1),(177,1),(243,1),(380,1)}
        69:{4,5,7}:{(40,1),(41,1),(103,1)}
        70:{2,4,7}:{(42,1),(52,1),(88,1),(94,1),(104,1),(112,1)}
        71:{2,3,6}:{(42,1),(43,1),(53,1),(89,1),(95,1),(104,1)}
        72:{2,6,7}:{(43,1),(44,1),(107,1)}
        73:{2,5,6}:{(43,1),(45,1),(49,1),(107,1),(108,1),(260,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(98,1),(107,1),(109,1),(169,1),(182,1),(253,1),(259,1)}
        75:{1,4,6}:{(45,1),(47,1),(50,1),(108,1),(109,1),(170,1)}
        76:{2,4,7}:{(46,1),(47,1),(109,1),(111,1)}
        77:{3,4,6}:{(47,1),(51,1),(102,1),(111,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(108,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(110,1),(113,1),(114,1),(121,1),(165,1),(187,1),(190,1),(236,1),(245,1),(310,1),(354,1)}
        81:{1,4,6}:{(52,1),(53,1),(104,1),(116,1)}
        82:{1,3,6,7}:{(53,1),(54,1),(105,1),(115,1),(117,1),(262,1),(347,1),(375,1)}
        83:{1,3,5,6}:{(53,1),(55,1),(56,1),(106,1),(116,1),(117,1),(118,1),(120,1),(188,1),(190,1),(240,1),(262,1),(302,1),(347,1),(349,1),(375,1),(388,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(107,1),(117,1),(119,1),(253,1),(263,1),(305,1),(316,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(108,1),(118,1),(119,1),(120,1),(185,1),(192,1),(260,1),(314,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(354,1)}
        88:{1,4,7}:{(58,1),(70,1),(123,1),(128,1)}
        89:{1,3,6}:{(58,1),(59,1),(71,1),(123,1)}
        90:{1,2,6,7}:{(59,1),(72,1),(124,1),(126,1),(287,1),(326,1),(339,1),(344,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(73,1),(125,1),(126,1),(127,1),(215,1),(232,1),(271,1),(286,1),(297,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(198,1),(203,1),(225,1),(233,1),(271,1),(297,1),(334,1),(346,1)}
        94:{3,4,7}:{(62,1),(70,1),(130,1),(148,1),(208,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,4,6,7}:{(63,1),(64,1),(72,1),(131,1),(133,1),(144,1),(208,1)}
        97:{2,5,6}:{(63,1),(65,1),(132,1),(133,1),(141,1)}
        98:{1,5,7}:{(64,1),(65,1),(66,1),(133,1)}
        99:{1,4,5,6}:{(65,1),(67,1),(75,1),(134,1),(136,1),(137,1),(152,1),(198,1),(215,1),(226,1),(269,1),(283,1),(366,1)}
       100:{2,5,6,7}:{(66,1),(68,1),(135,1),(138,1),(216,1),(370,1)}
       101:{2,4,5,7}:{(66,1),(67,1),(69,1),(76,1),(136,1),(138,1),(139,1),(214,1),(337,1),(370,1),(386,1)}
       102:{3,5,6}:{(67,1),(77,1),(139,1),(218,1),(288,1),(338,1)}
       103:{4,6,7}:{(68,1),(69,1),(277,1),(386,1)}
       104:{2,4,6}:{(70,1),(71,1),(81,1),(123,1),(130,1),(141,1)}
       105:{2,3,6,7}:{(71,1),(72,1),(82,1),(124,1),(131,1),(140,1),(142,1),(288,1),(295,1),(326,1),(339,1),(371,1),(372,1)}
       106:{2,3,5,6}:{(71,1),(73,1),(78,1),(83,1),(125,1),(132,1),(141,1),(142,1),(143,1),(145,1),(156,1),(202,1),(216,1),(218,1),(228,1),(271,1),(286,1),(288,1),(295,1),(326,1),(338,1),(342,1),(372,1),(384,1),(387,1)}
       107:{2,5,7}:{(72,1),(73,1),(74,1),(144,1),(293,1)}
       108:{2,4,6}:{(73,1),(75,1),(79,1),(144,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(76,1),(144,1),(208,1)}
       110:{1,3,4,6}:{(75,1),(77,1),(80,1),(137,1),(145,1),(146,1),(147,1),(209,1),(222,1),(283,1),(338,1)}
       111:{3,4,7}:{(76,1),(77,1),(139,1),(386,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(145,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(228,1),(271,1)}
       115:{1,4,6,7}:{(81,1),(82,1),(140,1),(151,1),(153,1),(226,1),(383,1)}
       116:{1,5}:{(81,1),(141,1)}
       117:{1,3,5,7}:{(82,1),(83,1),(84,1),(142,1),(151,1),(153,1),(155,1),(274,1),(327,1)}
       118:{1,4,6}:{(83,1),(86,1),(143,1),(152,1),(153,1),(365,1)}
       119:{1,2,4,7}:{(84,1),(85,1),(144,1),(153,1),(155,1),(223,1),(229,1),(293,1),(337,1)}
       120:{1,3,6}:{(85,1),(87,1),(145,1),(155,1),(156,1),(338,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(369,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(228,1),(294,1)}
       123:{1,4,6}:{(88,1),(89,1),(104,1),(160,1)}
       124:{1,3,6,7}:{(89,1),(90,1),(105,1),(159,1),(161,1),(300,1),(322,1),(361,1)}
       125:{1,3,5,6}:{(89,1),(91,1),(92,1),(106,1),(160,1),(161,1),(162,1),(164,1),(194,1),(234,1),(236,1),(264,1),(300,1),(322,1),(324,1),(361,1),(382,1)}
       126:{1,2,5,7}:{(90,1),(91,1),(107,1),(161,1),(163,1),(253,1),(267,1),(301,1),(316,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(108,1),(162,1),(163,1),(164,1),(185,1),(238,1),(260,1),(314,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(354,1)}
       130:{3,4,6}:{(94,1),(95,1),(104,1),(168,1),(170,1)}
       131:{3,6,7}:{(95,1),(96,1),(169,1),(182,1)}
       132:{3,5,6}:{(95,1),(97,1),(168,1),(169,1),(170,1)}
       133:{2,5,7}:{(96,1),(97,1),(98,1),(169,1)}
       134:{2,4,5,6}:{(97,1),(99,1),(108,1),(170,1),(172,1),(173,1),(176,1),(179,1),(248,1),(254,1),(307,1),(351,1)}
       135:{1,5,6,7}:{(98,1),(100,1),(171,1),(174,1),(188,1),(234,1),(355,1)}
       136:{1,4,5,7}:{(98,1),(99,1),(101,1),(109,1),(172,1),(174,1),(175,1),(253,1),(313,1),(355,1)}
       137:{1,3,5,6}:{(99,1),(102,1),(110,1),(173,1),(175,1),(176,1),(190,1),(236,1),(262,1),(300,1)}
       138:{2,4,6,7}:{(100,1),(101,1),(103,1),(174,1),(177,1),(252,1),(254,1)}
       139:{3,5,7}:{(101,1),(102,1),(111,1),(177,1),(357,1)}
       140:{2,4,6,7}:{(104,1),(105,1),(115,1),(159,1),(167,1),(178,1),(180,1),(254,1),(381,1)}
       141:{2,5}:{(104,1),(116,1),(160,1),(168,1)}
       142:{2,3,5,7}:{(105,1),(106,1),(107,1),(117,1),(161,1),(169,1),(178,1),(180,1),(182,1),(193,1),(239,1),(255,1),(263,1),(301,1),(316,1),(357,1),(380,1)}
       143:{2,4,6}:{(106,1),(112,1),(118,1),(162,1),(170,1),(179,1),(180,1),(181,1),(360,1),(389,1)}
       144:{2,4,7}:{(107,1),(108,1),(109,1),(182,1)}
       145:{3,6}:{(108,1),(113,1),(182,1)}
       146:{1,3,4,7}:{(109,1),(110,1),(111,1),(175,1),(182,1),(184,1),(247,1),(259,1),(313,1),(357,1)}
       147:{2,4,6}:{(110,1),(114,1),(176,1),(183,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(183,1),(186,1),(187,1),(354,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(264,1),(302,1)}
       151:{1,5,7}:{(115,1),(116,1),(178,1),(188,1),(388,1)}
       152:{1,4,5}:{(116,1),(118,1),(179,1),(190,1),(302,1),(388,1)}
       153:{1,4,7}:{(117,1),(118,1),(180,1)}
       154:{1,3,4,6}:{(118,1),(120,1),(121,1),(181,1),(190,1),(191,1),(192,1),(262,1)}
       155:{1,3,7}:{(119,1),(120,1),(182,1),(193,1),(357,1)}
       156:{2,3,6}:{(120,1),(122,1),(192,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(264,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(124,1),(140,1),(197,1),(199,1),(269,1),(374,1)}
       160:{1,5}:{(123,1),(141,1)}
       161:{1,3,5,7}:{(124,1),(125,1),(126,1),(142,1),(197,1),(199,1),(201,1),(231,1),(296,1)}
       162:{1,4,6}:{(125,1),(128,1),(143,1),(198,1),(199,1),(346,1)}
       163:{1,2,4,7}:{(126,1),(127,1),(144,1),(199,1),(201,1),(223,1),(272,1),(293,1),(337,1)}
       164:{1,3,6}:{(127,1),(129,1),(145,1),(201,1),(202,1),(338,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(369,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(271,1),(294,1)}
       167:{3,4,6,7}:{(130,1),(131,1),(140,1),(205,1),(208,1),(219,1),(277,1),(288,1),(371,1),(385,1),(386,1)}
       168:{3,5}:{(130,1),(141,1),(206,1)}
       169:{3,5,7}:{(131,1),(132,1),(133,1),(208,1)}
       170:{4,6}:{(132,1),(206,1),(208,1)}
       171:{2,5,6,7}:{(133,1),(135,1),(207,1),(210,1),(216,1),(335,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(136,1),(144,1),(208,1),(210,1),(211,1),(214,1),(280,1),(282,1),(335,1)}
       173:{3,5,6}:{(134,1),(145,1),(209,1),(211,1),(218,1),(288,1)}
       174:{1,4,6,7}:{(135,1),(136,1),(138,1),(210,1),(213,1),(226,1),(269,1),(287,1)}
       175:{1,3,5,7}:{(136,1),(137,1),(139,1),(146,1),(211,1),(213,1),(214,1)}
       176:{2,5,6}:{(137,1),(147,1),(214,1),(215,1),(228,1),(271,1),(295,1),(326,1)}
       177:{3,6,7}:{(138,1),(139,1),(288,1)}
       178:{2,5,7}:{(140,1),(141,1),(151,1),(197,1),(205,1),(216,1),(387,1)}
       179:{2,4,5}:{(141,1),(143,1),(152,1),(198,1),(206,1),(218,1),(228,1),(271,1),(387,1),(391,1)}
       180:{2,4,7}:{(142,1),(143,1),(153,1),(199,1),(208,1),(219,1),(386,1)}
       181:{3,4,6}:{(143,1),(145,1),(148,1),(218,1),(219,1),(288,1),(338,1),(369,1)}
       182:{3,7}:{(144,1),(145,1)}
       183:{2,3,6}:{(145,1),(147,1),(149,1),(221,1),(222,1),(338,1)}
       184:{2,4,7}:{(146,1),(147,1),(214,1),(221,1),(223,1),(293,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(222,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(369,1)}
       187:{1,3,5}:{(149,1),(150,1),(222,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,5}:{(152,1),(154,1),(218,1),(228,1)}
       191:{1,3,4,7}:{(153,1),(154,1),(155,1),(219,1),(227,1),(229,1)}
       192:{2,4,6}:{(154,1),(156,1),(157,1),(228,1),(229,1),(230,1),(295,1)}
       193:{2,3,7}:{(155,1),(156,1),(229,1),(231,1),(293,1)}
       194:{1,3,6}:{(156,1),(158,1),(230,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(160,1),(178,1),(234,1),(382,1)}
       198:{1,4,5}:{(160,1),(162,1),(179,1),(236,1),(264,1),(382,1)}
       199:{1,4,7}:{(161,1),(162,1),(180,1)}
       200:{1,3,4,6}:{(162,1),(164,1),(165,1),(181,1),(236,1),(237,1),(238,1),(300,1)}
       201:{1,3,7}:{(163,1),(164,1),(182,1),(239,1),(357,1)}
       202:{2,3,6}:{(164,1),(166,1),(238,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(302,1),(306,1)}
       205:{3,5,7}:{(167,1),(168,1),(178,1),(243,1),(244,1),(390,1)}
       206:{4,5}:{(168,1),(170,1)}
       207:{3,5,6,7}:{(169,1),(171,1),(243,1),(246,1),(249,1),(311,1)}
       208:{4,7}:{(169,1),(170,1)}
       209:{3,4,6}:{(170,1),(173,1),(245,1),(247,1),(248,1)}
       210:{2,4,6,7}:{(171,1),(172,1),(174,1),(246,1),(249,1),(252,1),(254,1)}
       211:{3,5,7}:{(172,1),(173,1),(182,1),(247,1),(249,1)}
       212:{2,3,5,6}:{(173,1),(176,1),(183,1),(248,1),(250,1),(251,1),(256,1),(317,1),(351,1)}
       213:{1,3,6,7}:{(174,1),(175,1),(177,1),(249,1),(252,1),(262,1),(300,1)}
       214:{2,5,7}:{(175,1),(176,1),(184,1),(252,1),(253,1)}
       215:{1,5,6}:{(176,1),(185,1),(253,1),(264,1),(302,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(243,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(180,1),(189,1),(235,1),(244,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,5}:{(179,1),(181,1)}
       219:{3,4,7}:{(180,1),(181,1),(182,1),(255,1),(357,1)}
       220:{2,3,4,6}:{(181,1),(183,1),(186,1),(192,1),(238,1),(248,1),(256,1),(257,1),(258,1),(317,1),(321,1),(360,1),(381,1)}
       221:{2,3,7}:{(182,1),(183,1),(184,1),(259,1),(357,1)}
       222:{1,3,6}:{(183,1),(185,1),(187,1),(259,1),(260,1)}
       223:{1,4,7}:{(184,1),(185,1),(253,1),(259,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(191,1),(255,1),(262,1),(263,1)}
       228:{2,5}:{(190,1),(192,1),(264,1)}
       229:{2,4,7}:{(191,1),(192,1),(193,1),(263,1),(265,1)}
       230:{1,4,6}:{(192,1),(194,1),(195,1),(264,1),(265,1),(322,1)}
       231:{1,3,7}:{(193,1),(194,1),(265,1),(267,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(267,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,5}:{(198,1),(200,1),(218,1),(271,1)}
       237:{1,3,4,7}:{(199,1),(200,1),(201,1),(219,1),(270,1),(272,1)}
       238:{2,4,6}:{(200,1),(202,1),(203,1),(271,1),(272,1),(273,1),(326,1)}
       239:{2,3,7}:{(201,1),(202,1),(272,1),(274,1),(293,1)}
       240:{1,3,6}:{(202,1),(204,1),(273,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{3,5,6}:{(205,1),(216,1),(277,1),(288,1)}
       244:{4,5,7}:{(205,1),(206,1),(208,1),(277,1),(386,1),(391,1)}
       245:{3,4,5}:{(206,1),(209,1),(218,1),(279,1),(369,1)}
       246:{4,6,7}:{(207,1),(208,1),(277,1),(280,1)}
       247:{3,4,7}:{(208,1),(209,1),(211,1),(282,1)}
       248:{2,4,6}:{(209,1),(212,1),(279,1),(282,1),(283,1)}
       249:{3,6,7}:{(210,1),(211,1),(288,1)}
       250:{2,3,5,7}:{(211,1),(212,1),(214,1),(221,1),(282,1),(284,1),(285,1),(335,1)}
       251:{1,3,5,6}:{(212,1),(215,1),(222,1),(283,1),(285,1),(286,1),(290,1),(338,1),(340,1),(366,1),(384,1)}
       252:{2,6,7}:{(213,1),(214,1),(287,1),(295,1),(326,1)}
       253:{1,5,7}:{(214,1),(215,1),(223,1),(287,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(277,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(219,1),(288,1)}
       256:{2,3,5}:{(218,1),(220,1),(228,1),(271,1),(279,1),(290,1),(387,1)}
       257:{2,3,4,7}:{(219,1),(220,1),(221,1),(229,1),(272,1),(282,1),(289,1),(291,1),(343,1),(373,1)}
       258:{1,3,4,6}:{(220,1),(222,1),(224,1),(230,1),(273,1),(283,1),(290,1),(291,1),(292,1),(299,1),(330,1),(338,1),(340,1),(346,1),(365,1),(369,1),(374,1),(383,1),(385,1)}
       259:{1,3,7}:{(221,1),(222,1),(223,1),(293,1)}
       260:{2,6}:{(222,1),(225,1),(293,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(229,1),(295,1),(296,1)}
       264:{1,5}:{(228,1),(230,1)}
       265:{1,4,7}:{(229,1),(230,1),(231,1),(296,1)}
       266:{1,2,4,6}:{(230,1),(232,1),(233,1),(292,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       267:{1,2,7}:{(231,1),(232,1),(293,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(237,1),(255,1),(300,1),(301,1)}
       271:{2,5}:{(236,1),(238,1),(302,1)}
       272:{2,4,7}:{(237,1),(238,1),(239,1),(301,1),(303,1)}
       273:{1,4,6}:{(238,1),(240,1),(241,1),(302,1),(303,1),(347,1)}
       274:{1,3,7}:{(239,1),(240,1),(303,1),(305,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(305,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,6}:{(243,1),(244,1)}
       278:{3,4,5,7}:{(244,1),(245,1),(247,1),(255,1),(308,1),(309,1),(311,1),(379,1),(390,1)}
       279:{2,4,5}:{(245,1),(248,1),(256,1),(310,1),(360,1)}
       280:{4,5,7}:{(246,1),(307,1),(311,1)}
       281:{3,4,6,7}:{(246,1),(247,1),(249,1),(308,1),(311,1),(312,1)}
       282:{2,4,7}:{(247,1),(248,1),(250,1),(313,1)}
       283:{1,4,6}:{(248,1),(251,1),(310,1),(313,1),(314,1),(389,1)}
       284:{2,3,6,7}:{(249,1),(250,1),(252,1),(312,1),(315,1),(317,1)}
       285:{1,3,5,7}:{(250,1),(251,1),(253,1),(259,1),(313,1),(315,1),(316,1),(355,1),(357,1),(380,1)}
       286:{2,5,6}:{(251,1),(260,1),(314,1),(316,1),(319,1),(358,1)}
       287:{1,6,7}:{(252,1),(253,1),(322,1),(347,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(257,1),(263,1),(301,1),(309,1),(317,1),(318,1)}
       290:{1,3,5}:{(256,1),(258,1),(264,1),(302,1),(310,1),(319,1),(354,1),(382,1),(388,1),(390,1)}
       291:{1,3,4,7}:{(257,1),(258,1),(259,1),(265,1),(303,1),(313,1),(318,1),(320,1),(325,1),(350,1),(357,1),(362,1),(376,1),(379,1)}
       292:{2,4,6}:{(258,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       293:{2,7}:{(259,1),(260,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(265,1),(322,1)}
       297:{1,2,5}:{(264,1),(266,1),(319,1),(324,1),(382,1)}
       298:{1,2,4,7}:{(265,1),(266,1),(267,1),(320,1),(323,1),(325,1),(362,1)}
       299:{1,3,6}:{(266,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(272,1),(326,1),(327,1)}
       302:{1,5}:{(271,1),(273,1)}
       303:{1,4,7}:{(272,1),(273,1),(274,1),(327,1)}
       304:{1,2,4,6}:{(273,1),(275,1),(276,1),(292,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       305:{1,2,7}:{(274,1),(275,1),(293,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(280,1),(331,1),(391,1)}
       308:{3,4,6}:{(277,1),(278,1),(288,1),(331,1),(332,1)}
       309:{2,4,5,7}:{(278,1),(279,1),(282,1),(289,1),(332,1),(333,1),(335,1),(373,1),(387,1)}
       310:{1,4,5}:{(279,1),(283,1),(290,1),(334,1),(346,1),(365,1),(391,1)}
       311:{3,5,7}:{(280,1),(281,1),(331,1),(335,1)}
       312:{2,4,6,7}:{(281,1),(282,1),(284,1),(332,1),(335,1),(336,1)}
       313:{1,4,7}:{(282,1),(283,1),(285,1),(337,1),(386,1)}
       314:{2,4,6}:{(283,1),(286,1),(334,1),(337,1),(338,1)}
       315:{1,3,6,7}:{(284,1),(285,1),(287,1),(336,1),(339,1),(340,1),(371,1)}
       316:{2,5,7}:{(285,1),(286,1),(293,1),(337,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(332,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(291,1),(296,1),(327,1),(333,1),(340,1),(341,1),(368,1)}
       319:{2,5}:{(290,1),(292,1)}
       320:{2,4,7}:{(291,1),(292,1),(293,1),(341,1),(343,1)}
       321:{2,3,6}:{(292,1),(294,1),(299,1),(330,1),(338,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,5}:{(297,1),(299,1),(342,1),(346,1)}
       325:{1,3,7}:{(298,1),(299,1),(343,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(303,1),(347,1)}
       328:{1,2,5}:{(302,1),(304,1),(319,1),(349,1),(388,1)}
       329:{1,2,4,7}:{(303,1),(304,1),(305,1),(320,1),(348,1),(350,1),(376,1)}
       330:{1,3,6}:{(304,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,4,6}:{(308,1),(309,1),(317,1),(351,1),(352,1)}
       333:{1,4,5,7}:{(309,1),(310,1),(313,1),(318,1),(352,1),(353,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       334:{2,4,5}:{(310,1),(314,1),(319,1),(354,1),(360,1)}
       335:{2,5,7}:{(311,1),(312,1),(351,1),(355,1)}
       336:{1,4,6,7}:{(312,1),(313,1),(315,1),(352,1),(355,1),(356,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(357,1)}
       338:{3,6}:{(314,1),(354,1),(357,1)}
       339:{2,6,7}:{(315,1),(316,1),(358,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(352,1),(358,1),(378,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,5}:{(319,1),(321,1),(324,1),(349,1),(354,1),(360,1)}
       343:{2,3,7}:{(320,1),(321,1),(325,1),(350,1),(357,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(324,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,5}:{(328,1),(330,1),(342,1),(365,1)}
       350:{1,3,7}:{(329,1),(330,1),(343,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,4,6}:{(332,1),(333,1),(340,1),(366,1),(367,1)}
       353:{2,4,5,7}:{(333,1),(334,1),(337,1),(341,1),(367,1),(368,1),(370,1),(373,1),(386,1),(387,1),(391,1)}
       354:{3,5}:{(334,1),(338,1),(369,1)}
       355:{1,5,7}:{(335,1),(336,1),(366,1),(370,1)}
       356:{2,4,6,7}:{(336,1),(337,1),(339,1),(367,1),(370,1),(371,1),(386,1)}
       357:{3,7}:{(337,1),(338,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(368,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(342,1),(346,1),(365,1),(369,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(349,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(355,1),(377,1),(382,1),(388,1)}
       367:{2,4,6}:{(352,1),(353,1),(358,1),(377,1),(378,1),(389,1)}
       368:{3,5,7}:{(353,1),(354,1),(357,1),(378,1),(379,1),(390,1)}
       369:{3,4}:{(354,1),(360,1)}
       370:{2,5,7}:{(355,1),(356,1),(377,1),(380,1)}
       371:{3,6,7}:{(356,1),(357,1),(378,1),(380,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(378,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(379,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(370,1),(384,1),(387,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{3,4,7}:{(368,1),(369,1),(373,1),(385,1),(386,1)}
       380:{3,5,7}:{(370,1),(371,1),(384,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(385,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(380,1),(389,1),(390,1)}
       385:{3,4,6}:{(378,1),(379,1),(381,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(389,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(386,1),(391,1)}
       390:{3,5}:{(385,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

 842 :  0:{2,3,4}:{(2,1),(3,1),(22,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(81,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(26,1),(38,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(38,1)}
        5:{4,5,6}:{(14,1),(15,1),(86,1),(95,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1)}
        7:{2,4,5}:{(1,1),(2,1),(16,1),(18,1),(50,1),(73,1)}
        8:{2,3,6}:{(2,1),(16,1),(19,1),(20,1)}
        9:{1,3,5}:{(2,1),(3,1),(18,1),(19,1),(21,1),(47,1)}
       10:{2,4}:{(3,1),(21,1),(22,1)}
       11:{1,2,5}:{(4,1),(21,1),(23,1),(24,1)}
       12:{1,3}:{(4,1),(22,1)}
       13:{1,2,4}:{(10,1),(25,1),(26,1),(55,1)}
       14:{3,5,6}:{(5,1),(6,1),(27,1),(28,1),(81,1),(94,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{2,4,6}:{(6,1),(7,1),(8,1),(27,1),(30,1),(31,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1)}
       18:{1,4,5}:{(7,1),(9,1),(30,1),(32,1),(38,1),(55,1),(64,1),(76,1)}
       19:{1,3,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(59,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{2,5}:{(9,1),(10,1),(33,1)}
       22:{2,3}:{(10,1),(12,1),(26,1)}
       23:{1,2,6}:{(11,1),(33,1),(36,1),(37,1)}
       24:{1,3,5}:{(11,1),(12,1),(35,1),(36,1),(38,1),(64,1)}
       25:{1,2,5}:{(13,1),(21,1),(39,1),(40,1)}
       26:{1,3}:{(13,1),(22,1)}
       27:{2,5,6}:{(14,1),(16,1),(41,1),(42,1),(73,1),(90,1)}
       28:{3,5,7}:{(14,1),(15,1),(17,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1),(95,1)}
       30:{1,4,6}:{(16,1),(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{2,4,7}:{(16,1),(17,1),(20,1),(42,1),(46,1)}
       32:{2,4,5}:{(18,1),(21,1),(45,1),(47,1),(50,1),(73,1),(86,1)}
       33:{2,6}:{(19,1),(21,1),(49,1)}
       34:{1,3,7}:{(19,1),(20,1),(46,1),(49,1),(72,1)}
       35:{2,3,5}:{(21,1),(22,1),(24,1),(40,1),(47,1),(48,1),(50,1),(73,1)}
       36:{1,3,6}:{(23,1),(24,1),(48,1),(51,1),(52,1)}
       37:{1,2,7}:{(23,1),(49,1),(52,1)}
       38:{1,4}:{(24,1),(50,1)}
       39:{1,2,6}:{(25,1),(33,1),(53,1),(54,1)}
       40:{1,3,5}:{(25,1),(26,1),(35,1),(53,1),(55,1),(76,1)}
       41:{1,5,6}:{(27,1),(30,1),(56,1),(57,1),(64,1),(76,1),(84,1),(91,1)}
       42:{2,5,7}:{(27,1),(28,1),(31,1),(57,1),(58,1)}
       43:{3,6,7}:{(28,1),(29,1),(58,1),(94,1)}
       44:{5,6,7}:{(29,1),(97,1)}
       45:{2,4,6}:{(30,1),(32,1),(33,1),(56,1),(59,1),(60,1),(78,1)}
       46:{1,4,7}:{(30,1),(31,1),(34,1),(57,1),(60,1)}
       47:{3,5}:{(32,1),(59,1),(61,1)}
       48:{2,3,6}:{(33,1),(35,1),(36,1),(53,1),(59,1),(62,1),(63,1)}
       49:{2,7}:{(33,1),(34,1)}
       50:{2,4}:{(35,1),(38,1),(55,1),(61,1)}
       51:{1,4,6}:{(36,1),(38,1),(62,1),(64,1),(65,1),(84,1)}
       52:{1,3,7}:{(36,1),(37,1),(63,1),(65,1)}
       53:{1,3,6}:{(39,1),(40,1),(48,1),(66,1),(67,1)}
       54:{1,2,7}:{(39,1),(49,1),(67,1)}
       55:{1,4}:{(40,1),(50,1)}
       56:{2,5,6}:{(41,1),(45,1),(68,1),(69,1),(73,1),(90,1)}
       57:{1,5,7}:{(41,1),(42,1),(46,1),(69,1),(70,1)}
       58:{2,6,7}:{(42,1),(43,1),(70,1),(90,1)}
       59:{3,6}:{(45,1),(47,1),(72,1)}
       60:{2,4,7}:{(45,1),(46,1),(49,1),(69,1),(72,1),(87,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,4,6}:{(48,1),(50,1),(51,1),(66,1),(71,1),(73,1),(74,1),(90,1)}
       63:{2,3,7}:{(48,1),(49,1),(52,1),(67,1),(72,1),(74,1)}
       64:{1,5}:{(51,1),(73,1)}
       65:{1,4,7}:{(51,1),(52,1),(74,1),(75,1)}
       66:{1,4,6}:{(53,1),(55,1),(62,1),(76,1),(77,1),(91,1)}
       67:{1,3,7}:{(53,1),(54,1),(63,1),(77,1)}
       68:{3,5,6}:{(56,1),(59,1),(78,1),(79,1),(81,1),(94,1),(97,1)}
       69:{2,5,7}:{(56,1),(57,1),(60,1),(79,1),(80,1)}
       70:{1,6,7}:{(57,1),(58,1),(80,1),(84,1),(91,1)}
       71:{3,4,6}:{(59,1),(61,1),(62,1),(78,1),(81,1),(82,1),(94,1)}
       72:{3,7}:{(59,1),(60,1)}
       73:{2,5}:{(62,1),(64,1),(76,1),(81,1)}
       74:{2,4,7}:{(62,1),(63,1),(65,1),(77,1),(82,1),(83,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,5}:{(66,1),(73,1)}
       77:{1,4,7}:{(66,1),(67,1),(74,1),(85,1)}
       78:{4,6}:{(68,1),(86,1),(87,1)}
       79:{3,5,7}:{(68,1),(69,1),(72,1),(87,1),(88,1),(96,1)}
       80:{2,6,7}:{(69,1),(70,1),(88,1),(90,1)}
       81:{3,5}:{(71,1),(73,1),(86,1)}
       82:{3,4,7}:{(71,1),(72,1),(74,1),(87,1),(89,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(81,1)}
       87:{4,7}:{(78,1),(79,1)}
       88:{3,6,7}:{(79,1),(80,1),(93,1),(94,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(92,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(89,1),(95,1),(96,1)}
       93:{4,6,7}:{(87,1),(88,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(95,1)}
       95:{4,6}:{(92,1),(94,1),(97,1)}
       96:{5,7}:{(93,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 843 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 844 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 845 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 846 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 847 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(22,1),(50,1),(122,1),(131,1),(132,1),(135,1),(137,1),(200,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(25,1),(31,1),(34,1),(74,1),(78,1),(81,1),(83,1),(89,1),(142,1),(157,1),(161,1),(170,1),(172,1),(221,1),(228,1),(269,1),(282,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(40,1),(81,1),(93,1),(98,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(10,1),(35,1),(97,1),(99,1),(163,1),(173,1),(233,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(50,1),(115,1),(194,1),(200,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(15,1),(19,1),(48,1),(56,1),(60,1),(110,1),(134,1),(179,1),(199,1),(246,1),(298,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(200,1),(206,1),(208,1),(260,1)}
         7:{1,4,5,7}:{(2,1),(17,1),(19,1),(47,1),(65,1),(118,1),(131,1),(135,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(21,1),(60,1)}
         9:{1,3,4,6,7}:{(3,1),(20,1),(22,1),(61,1),(70,1),(135,1),(137,1),(141,1),(208,1)}
        10:{1,3,5,6}:{(3,1),(21,1),(22,1),(23,1),(50,1),(69,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(89,1),(168,1),(228,1),(238,1),(273,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(34,1),(81,1),(90,1),(142,1),(146,1),(169,1),(220,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(173,1),(233,1),(270,1)}
        14:{1,2,4,6,7}:{(5,1),(29,1),(31,1),(38,1),(80,1),(89,1),(94,1),(150,1),(172,1),(214,1),(269,1)}
        15:{1,2,5,6}:{(5,1),(30,1),(31,1),(39,1),(81,1),(95,1),(151,1),(157,1),(160,1),(215,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(98,1),(146,1),(168,1),(236,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1),(92,1),(282,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(173,1),(233,1),(281,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(39,1)}
        20:{2,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(40,1),(94,1),(98,1),(172,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(81,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(40,1),(43,1),(104,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(97,1),(163,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(113,1),(122,1),(186,1),(187,1),(200,1),(247,1),(249,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(12,1),(47,1),(48,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(50,1),(56,1),(128,1)}
        27:{1,3,5,7}:{(12,1),(47,1),(51,1),(52,1),(115,1),(118,1),(194,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(60,1),(179,1)}
        29:{1,3,6,7}:{(13,1),(14,1),(53,1),(55,1),(208,1),(288,1),(298,1)}
        30:{1,3,5,6}:{(13,1),(15,1),(50,1),(54,1),(55,1),(56,1),(194,1),(261,1),(263,1),(298,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(55,1),(65,1),(119,1),(133,1),(188,1),(245,1),(299,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(47,1),(57,1),(58,1),(115,1),(135,1),(208,1),(264,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(209,1),(250,1),(265,1)}
        34:{2,5,7}:{(17,1),(57,1),(60,1),(130,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(60,1),(298,1)}
        36:{2,3,6,7}:{(18,1),(20,1),(61,1),(63,1),(141,1),(208,1),(212,1)}
        37:{2,3,5,6}:{(18,1),(21,1),(59,1),(62,1),(63,1),(64,1),(69,1),(140,1),(209,1)}
        38:{1,4,6,7}:{(19,1),(20,1),(61,1),(65,1),(135,1)}
        39:{1,5,6}:{(19,1),(21,1),(65,1),(118,1)}
        40:{2,5,7}:{(20,1),(21,1),(22,1),(65,1)}
        41:{2,4,5,6}:{(21,1),(23,1),(64,1),(66,1),(68,1),(69,1),(120,1),(134,1),(140,1),(199,1)}
        42:{1,3,5,6,7}:{(22,1),(67,1),(70,1),(121,1),(141,1)}
        43:{1,4,5,7}:{(22,1),(23,1),(68,1),(70,1),(135,1),(213,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(168,1),(218,1),(236,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(74,1),(75,1),(81,1),(142,1),(149,1),(152,1),(218,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(75,1),(77,1),(143,1),(163,1),(217,1),(219,1),(233,1),(270,1)}
        47:{1,4,7}:{(25,1),(27,1),(79,1),(228,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(79,1),(81,1)}
        49:{1,3,4,6,7}:{(26,1),(29,1),(80,1),(82,1),(89,1),(163,1),(168,1),(233,1)}
        50:{1,3,5}:{(26,1),(81,1),(83,1),(162,1)}
        51:{1,2,5,7}:{(27,1),(34,1),(78,1),(84,1),(142,1),(157,1),(282,1)}
        52:{1,3,6}:{(27,1),(28,1),(79,1),(84,1)}
        53:{2,3,6,7}:{(28,1),(29,1),(80,1),(85,1),(87,1),(94,1),(214,1),(233,1),(281,1)}
        54:{2,3,5,6}:{(28,1),(30,1),(81,1),(86,1),(87,1),(88,1),(95,1),(160,1),(162,1),(169,1),(173,1),(215,1),(220,1),(232,1),(233,1),(235,1),(270,1),(281,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(31,1),(87,1),(89,1),(282,1),(283,1)}
        56:{1,4,6}:{(30,1),(83,1),(88,1),(89,1),(228,1)}
        57:{2,4,7}:{(32,1),(34,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(35,1),(79,1),(91,1),(92,1),(97,1),(156,1),(173,1),(228,1),(237,1),(238,1),(242,1),(285,1)}
        59:{2,3,5}:{(33,1),(81,1),(92,1),(93,1),(162,1),(232,1)}
        60:{2,6}:{(34,1),(35,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(38,1),(94,1),(96,1),(244,1)}
        62:{1,3,5,6}:{(35,1),(37,1),(39,1),(92,1),(95,1),(96,1),(97,1),(173,1),(178,1),(242,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(40,1),(96,1),(98,1),(104,1),(177,1),(241,1)}
        64:{2,4,6}:{(37,1),(93,1),(97,1),(98,1),(99,1)}
        65:{1,5,7}:{(38,1),(39,1),(40,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(97,1),(101,1),(102,1),(159,1),(230,1)}
        67:{2,5,6,7}:{(40,1),(42,1),(100,1),(103,1),(160,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(98,1),(101,1),(103,1),(104,1),(172,1),(177,1)}
        69:{3,5,6}:{(41,1),(99,1),(104,1),(162,1),(173,1),(233,1)}
        70:{1,4,6,7}:{(42,1),(43,1),(103,1),(163,1),(244,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(200,1),(251,1),(260,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(47,1),(105,1),(107,1),(108,1),(115,1),(247,1),(264,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(48,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(289,1),(292,1)}
        74:{1,4,5,7}:{(45,1),(47,1),(105,1),(110,1),(118,1),(186,1),(188,1),(247,1)}
        75:{2,4,6}:{(45,1),(46,1),(106,1),(110,1),(112,1),(179,1)}
        76:{1,3,4,6,7}:{(46,1),(111,1),(113,1),(180,1),(193,1),(247,1),(249,1),(256,1),(288,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(112,1),(113,1),(114,1),(192,1)}
        78:{1,2,4,7}:{(47,1),(51,1),(57,1),(107,1),(115,1),(116,1),(264,1),(299,1)}
        79:{1,4,6}:{(47,1),(48,1),(52,1),(118,1)}
        80:{2,4,6,7}:{(48,1),(49,1),(53,1),(117,1),(119,1),(127,1),(199,1)}
        81:{2,5}:{(48,1),(50,1),(118,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(119,1),(121,1),(122,1),(200,1)}
        83:{1,4,5}:{(50,1),(56,1),(120,1),(261,1)}
        84:{1,2,6}:{(51,1),(52,1),(60,1),(179,1),(298,1)}
        85:{1,3,6,7}:{(52,1),(53,1),(117,1),(123,1),(125,1),(259,1)}
        86:{1,3,5,6}:{(52,1),(54,1),(118,1),(124,1),(125,1),(126,1),(194,1),(196,1),(198,1),(202,1),(259,1)}
        87:{2,3,5,7}:{(53,1),(54,1),(55,1),(119,1),(125,1),(127,1),(133,1),(200,1),(208,1),(245,1),(260,1),(262,1),(288,1)}
        88:{2,4,6}:{(54,1),(56,1),(120,1),(126,1),(127,1),(128,1),(205,1),(250,1)}
        89:{1,4,7}:{(55,1),(56,1),(127,1)}
        90:{2,3,7}:{(57,1),(115,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(60,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(118,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(61,1),(133,1)}
        95:{2,5,6}:{(60,1),(62,1),(130,1),(133,1),(134,1),(268,1)}
        96:{1,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(133,1),(135,1),(208,1),(213,1),(267,1)}
        97:{1,4,6}:{(62,1),(64,1),(131,1),(134,1),(135,1)}
        98:{2,4,7}:{(63,1),(64,1),(135,1),(137,1)}
        99:{3,4,6}:{(64,1),(69,1),(132,1),(137,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(196,1)}
       101:{1,4,5,7}:{(65,1),(66,1),(68,1),(135,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(66,1),(69,1),(136,1),(139,1),(140,1),(198,1),(259,1)}
       103:{2,4,6,7}:{(67,1),(68,1),(70,1),(138,1),(141,1),(199,1),(212,1)}
       104:{3,5,7}:{(68,1),(69,1),(137,1),(141,1),(208,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(142,1),(143,1),(148,1),(282,1)}
       106:{2,3,6}:{(71,1),(75,1),(143,1),(233,1),(270,1),(281,1)}
       107:{2,4,7}:{(72,1),(142,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(79,1),(143,1),(147,1),(148,1),(156,1),(217,1),(228,1),(237,1),(270,1),(273,1),(302,1),(304,1)}
       109:{2,3,5}:{(73,1),(81,1),(148,1),(149,1),(162,1),(232,1)}
       110:{1,4,6}:{(74,1),(75,1),(143,1),(151,1)}
       111:{2,4,6,7}:{(75,1),(76,1),(144,1),(150,1),(152,1),(214,1),(218,1),(269,1)}
       112:{2,5,6}:{(75,1),(77,1),(81,1),(151,1),(152,1)}
       113:{1,3,5,7}:{(76,1),(77,1),(152,1),(155,1),(227,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(163,1),(217,1),(278,1)}
       115:{1,3,7}:{(78,1),(90,1),(146,1),(156,1)}
       116:{1,2,4,6}:{(78,1),(79,1),(84,1),(91,1),(147,1),(156,1),(157,1),(228,1),(237,1),(284,1),(307,1)}
       117:{1,4,6,7}:{(79,1),(80,1),(85,1),(158,1),(166,1),(230,1)}
       118:{1,5}:{(79,1),(81,1)}
       119:{2,5,7}:{(80,1),(81,1),(82,1),(158,1),(160,1)}
       120:{2,4,5}:{(81,1),(83,1),(88,1),(159,1),(162,1),(232,1)}
       121:{1,3,5,6}:{(82,1),(160,1),(163,1),(233,1)}
       122:{1,4,5,7}:{(82,1),(83,1),(89,1),(161,1),(163,1),(282,1)}
       123:{1,2,6,7}:{(84,1),(85,1),(94,1),(164,1),(214,1),(244,1),(281,1),(306,1)}
       124:{1,2,5,6}:{(84,1),(86,1),(95,1),(157,1),(164,1),(165,1),(178,1),(215,1),(232,1),(278,1),(281,1)}
       125:{1,3,5,7}:{(85,1),(86,1),(87,1),(158,1),(164,1),(166,1),(234,1)}
       126:{1,4,6}:{(86,1),(88,1),(159,1),(166,1),(228,1)}
       127:{2,4,7}:{(87,1),(88,1),(89,1),(166,1),(168,1)}
       128:{3,4,6}:{(88,1),(162,1),(168,1),(173,1),(233,1),(238,1),(270,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(156,1),(169,1),(173,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(97,1),(170,1),(228,1)}
       132:{3,4,5}:{(93,1),(99,1),(162,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(96,1),(172,1),(287,1)}
       134:{2,4,6}:{(95,1),(97,1),(170,1),(172,1),(173,1)}
       135:{1,4,7}:{(96,1),(97,1),(98,1),(172,1)}
       136:{1,3,4,6}:{(97,1),(99,1),(102,1),(171,1),(173,1),(174,1),(175,1),(242,1)}
       137:{3,4,7}:{(98,1),(99,1),(104,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(103,1),(176,1),(230,1)}
       139:{1,3,5,7}:{(101,1),(102,1),(104,1),(174,1),(176,1),(177,1)}
       140:{2,5,6}:{(102,1),(175,1),(177,1),(178,1),(232,1),(281,1)}
       141:{3,6,7}:{(103,1),(104,1),(233,1)}
       142:{2,5,7}:{(105,1),(107,1),(179,1),(185,1)}
       143:{1,3,6}:{(105,1),(106,1),(110,1),(179,1),(298,1)}
       144:{2,3,6,7}:{(106,1),(111,1),(180,1),(182,1),(256,1),(288,1),(294,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(112,1),(181,1),(182,1),(183,1),(192,1),(255,1),(289,1)}
       146:{2,3,7}:{(107,1),(115,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(179,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(118,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,4,6,7}:{(110,1),(111,1),(180,1),(188,1),(247,1)}
       151:{1,5,6}:{(110,1),(112,1),(118,1),(188,1)}
       152:{2,5,7}:{(111,1),(112,1),(113,1),(188,1)}
       153:{2,4,5,6}:{(112,1),(114,1),(120,1),(183,1),(189,1),(191,1),(192,1),(199,1),(246,1),(255,1)}
       154:{1,3,5,6,7}:{(113,1),(121,1),(190,1),(193,1),(256,1)}
       155:{1,4,5,7}:{(113,1),(114,1),(191,1),(193,1),(247,1),(295,1)}
       156:{1,3,6}:{(115,1),(116,1),(129,1),(184,1),(194,1),(312,1)}
       157:{1,2,5}:{(116,1),(118,1),(130,1),(185,1),(194,1),(261,1)}
       158:{1,5,7}:{(117,1),(118,1),(119,1),(196,1)}
       159:{1,4,5}:{(118,1),(120,1),(126,1),(198,1)}
       160:{2,5,6}:{(119,1),(121,1),(196,1),(199,1)}
       161:{2,4,5,7}:{(119,1),(120,1),(122,1),(127,1),(197,1),(199,1),(200,1),(260,1)}
       162:{3,5}:{(120,1),(128,1)}
       163:{1,4,6}:{(121,1),(122,1),(199,1),(298,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(125,1),(133,1),(201,1),(213,1),(245,1),(260,1),(295,1)}
       165:{1,2,4,6}:{(124,1),(126,1),(134,1),(195,1),(201,1),(202,1),(204,1),(211,1),(246,1),(268,1),(291,1),(310,1)}
       166:{1,4,7}:{(125,1),(126,1),(127,1)}
       167:{1,3,4,6}:{(126,1),(128,1),(198,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       168:{3,4,7}:{(127,1),(128,1),(200,1),(208,1),(288,1)}
       169:{2,3,5}:{(129,1),(130,1),(194,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(134,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(136,1),(198,1),(206,1),(207,1),(257,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(135,1),(208,1)}
       173:{3,6}:{(134,1),(206,1),(208,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(137,1),(139,1),(208,1),(210,1),(267,1)}
       175:{2,4,6}:{(136,1),(140,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(141,1),(212,1),(259,1)}
       177:{2,5,7}:{(139,1),(140,1),(210,1),(212,1),(213,1)}
       178:{1,5,6}:{(140,1),(211,1),(213,1),(261,1),(298,1)}
       179:{2,6}:{(142,1),(143,1)}
       180:{1,3,6,7}:{(143,1),(144,1),(150,1),(214,1),(216,1),(306,1)}
       181:{1,3,5,6}:{(143,1),(145,1),(148,1),(151,1),(215,1),(216,1),(217,1),(270,1),(278,1),(302,1)}
       182:{2,3,5,7}:{(144,1),(145,1),(152,1),(216,1),(218,1),(227,1),(277,1),(301,1)}
       183:{2,4,6}:{(145,1),(149,1),(217,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(156,1),(220,1),(270,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(217,1),(221,1),(228,1)}
       187:{3,4,5}:{(149,1),(162,1),(219,1),(238,1)}
       188:{1,5,7}:{(150,1),(151,1),(152,1)}
       189:{1,4,5,6}:{(151,1),(153,1),(159,1),(217,1),(224,1),(225,1),(230,1)}
       190:{2,5,6,7}:{(152,1),(154,1),(160,1),(223,1),(226,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(218,1),(224,1),(226,1),(227,1),(269,1),(277,1)}
       192:{3,5,6}:{(153,1),(162,1),(219,1),(227,1),(233,1),(270,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(163,1),(226,1),(306,1)}
       194:{1,3,5}:{(156,1),(157,1),(169,1),(220,1),(228,1)}
       195:{1,2,4,5}:{(157,1),(159,1),(165,1),(170,1),(221,1),(228,1),(229,1),(232,1),(240,1),(275,1),(279,1),(286,1),(305,1),(307,1)}
       196:{1,5,6}:{(158,1),(160,1),(230,1)}
       197:{1,4,5,7}:{(158,1),(159,1),(161,1),(166,1),(230,1),(231,1)}
       198:{1,3,5}:{(159,1),(162,1),(167,1),(232,1)}
       199:{2,4,6}:{(160,1),(161,1),(163,1),(230,1),(233,1),(281,1)}
       200:{3,5,7}:{(161,1),(162,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(166,1),(172,1),(234,1),(236,1),(243,1),(269,1),(287,1),(303,1),(313,1)}
       202:{1,3,6}:{(165,1),(173,1),(229,1),(234,1),(235,1),(270,1)}
       203:{1,3,4,7}:{(166,1),(167,1),(168,1),(231,1),(234,1),(236,1)}
       204:{2,4,6}:{(167,1),(232,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(228,1),(238,1)}
       206:{3,5}:{(170,1),(173,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(232,1),(239,1),(240,1),(279,1),(286,1)}
       208:{3,7}:{(172,1),(173,1)}
       209:{2,3,6}:{(173,1),(175,1),(239,1),(241,1),(242,1)}
       210:{2,4,7}:{(174,1),(175,1),(177,1),(241,1),(243,1),(287,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(281,1)}
       213:{1,5,7}:{(177,1),(178,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(180,1),(245,1)}
       215:{2,5,6}:{(179,1),(181,1),(185,1),(245,1),(246,1),(310,1)}
       216:{1,3,5,7}:{(180,1),(181,1),(182,1),(188,1),(245,1),(247,1),(288,1),(295,1),(309,1)}
       217:{1,4,6}:{(181,1),(183,1),(186,1),(246,1),(247,1)}
       218:{2,4,7}:{(182,1),(183,1),(247,1),(249,1)}
       219:{3,4,6}:{(183,1),(187,1),(192,1),(249,1)}
       220:{2,3,5}:{(184,1),(185,1),(194,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(246,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(198,1),(248,1),(251,1),(252,1),(257,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{1,4,5,7}:{(188,1),(189,1),(191,1),(247,1),(253,1),(254,1)}
       225:{1,3,5,6}:{(189,1),(192,1),(198,1),(248,1),(254,1),(255,1),(259,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(253,1),(256,1),(294,1)}
       227:{3,5,7}:{(191,1),(192,1),(249,1),(256,1),(288,1)}
       228:{1,4}:{(194,1),(205,1),(250,1)}
       229:{1,3,5}:{(195,1),(202,1),(206,1),(251,1),(257,1),(258,1),(312,1)}
       230:{1,4,6}:{(196,1),(197,1),(199,1),(259,1)}
       231:{1,3,5,7}:{(197,1),(198,1),(200,1),(203,1),(259,1),(260,1)}
       232:{2,5}:{(198,1),(204,1),(261,1)}
       233:{3,6}:{(199,1),(200,1)}
       234:{1,3,7}:{(201,1),(202,1),(208,1),(262,1),(288,1)}
       235:{2,3,6}:{(202,1),(204,1),(258,1),(262,1),(263,1),(268,1),(310,1)}
       236:{2,4,7}:{(203,1),(204,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(298,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(209,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(296,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,3,6}:{(209,1),(211,1),(266,1),(267,1),(268,1)}
       243:{1,4,7}:{(210,1),(211,1),(213,1),(267,1)}
       244:{1,6,7}:{(212,1),(213,1),(298,1)}
       245:{2,5,7}:{(214,1),(215,1),(216,1),(269,1),(313,1)}
       246:{2,4,6}:{(215,1),(217,1),(221,1),(269,1),(270,1)}
       247:{1,4,7}:{(216,1),(217,1),(218,1),(269,1)}
       248:{1,3,4,6}:{(217,1),(219,1),(222,1),(225,1),(270,1),(271,1),(272,1),(302,1)}
       249:{3,4,7}:{(218,1),(219,1),(227,1)}
       250:{2,4}:{(220,1),(228,1),(273,1)}
       251:{3,5}:{(221,1),(270,1),(273,1)}
       252:{2,4,5}:{(222,1),(232,1),(272,1),(274,1),(275,1),(279,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(226,1),(230,1),(276,1)}
       254:{1,3,5,7}:{(224,1),(225,1),(227,1),(271,1),(276,1),(277,1)}
       255:{2,5,6}:{(225,1),(232,1),(272,1),(277,1),(278,1),(281,1)}
       256:{3,6,7}:{(226,1),(227,1),(233,1)}
       257:{1,3,4}:{(228,1),(229,1),(238,1),(273,1),(279,1)}
       258:{2,3,5}:{(229,1),(232,1),(235,1),(279,1),(280,1),(286,1),(305,1),(308,1),(314,1)}
       259:{1,3,6}:{(230,1),(231,1),(233,1),(281,1)}
       260:{2,5,7}:{(231,1),(232,1),(236,1),(281,1),(282,1)}
       261:{1,5}:{(232,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,3,6}:{(235,1),(237,1),(280,1),(283,1),(284,1)}
       264:{1,4,7}:{(236,1),(237,1),(282,1),(283,1)}
       265:{2,3,4}:{(238,1),(239,1),(279,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(242,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(242,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(247,1),(288,1)}
       270:{3,6}:{(246,1),(251,1),(288,1)}
       271:{1,3,4,7}:{(247,1),(248,1),(249,1),(254,1),(288,1),(290,1),(309,1)}
       272:{2,4,6}:{(248,1),(252,1),(255,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(289,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(296,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(256,1),(259,1),(294,1)}
       277:{2,5,7}:{(254,1),(255,1),(290,1),(294,1),(295,1)}
       278:{1,5,6}:{(255,1),(261,1),(291,1),(295,1),(298,1)}
       279:{2,4}:{(257,1),(258,1),(296,1)}
       280:{1,3,5}:{(258,1),(261,1),(263,1),(296,1),(297,1),(312,1)}
       281:{2,6}:{(259,1),(260,1),(298,1)}
       282:{1,5,7}:{(260,1),(261,1),(264,1),(298,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(263,1),(268,1),(297,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(296,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(270,1)}
       289:{2,3,6}:{(270,1),(272,1),(274,1),(301,1),(302,1)}
       290:{2,4,7}:{(271,1),(272,1),(277,1),(301,1),(303,1),(313,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(279,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(302,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(281,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(303,1),(306,1)}
       296:{1,4}:{(279,1),(280,1)}
       297:{1,2,5}:{(280,1),(284,1),(286,1),(305,1),(307,1)}
       298:{1,6}:{(281,1),(282,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,3,6}:{(289,1),(291,1),(293,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(295,1),(309,1)}
       304:{1,3,4}:{(292,1),(293,1),(296,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(298,1)}
       307:{1,2,4}:{(296,1),(297,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(302,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

 848 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

 849 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 850 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(27,1),(35,1),(68,1),(78,1),(83,1),(88,1),(118,1),(125,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(15,1),(21,1),(50,1),(59,1),(63,1),(95,1),(105,1),(112,1),(115,1),(156,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(53,1),(103,1),(147,1),(155,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(125,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(124,1),(134,1),(183,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(68,1),(117,1)}
         7:{1,2,4,6,7}:{(4,1),(15,1),(16,1),(45,1),(48,1),(50,1),(105,1),(156,1),(157,1),(161,1),(164,1),(208,1),(209,1),(233,1),(241,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(53,1),(103,1),(104,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(15,1),(24,1),(59,1),(96,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(155,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(50,1),(94,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(53,1),(93,1),(147,1)}
        15:{1,3,6,7}:{(7,1),(11,1),(27,1),(30,1),(70,1),(126,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(12,1),(28,1),(30,1),(67,1),(134,1),(183,1),(189,1),(222,1),(239,1)}
        17:{1,3,5,6,7}:{(8,1),(9,1),(33,1),(34,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(10,1),(32,1),(34,1),(35,1)}
        19:{2,4,5,6}:{(10,1),(32,1),(36,1),(37,1),(80,1),(117,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(29,1),(41,1),(42,1),(82,1),(86,1),(122,1),(125,1),(144,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(30,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(73,1),(76,1),(89,1),(124,1),(132,1),(136,1),(188,1),(190,1),(224,1),(225,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(96,1),(150,1),(164,1),(203,1)}
        28:{1,2,5,6}:{(16,1),(20,1),(47,1),(48,1),(91,1),(108,1),(155,1),(157,1),(167,1),(205,1),(206,1),(231,1)}
        29:{1,3,4,6,7}:{(15,1),(23,1),(45,1),(49,1),(50,1),(93,1),(95,1),(98,1),(150,1),(152,1),(156,1),(201,1),(208,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(24,1),(46,1),(47,1),(50,1)}
        31:{1,2,4,5,7}:{(16,1),(25,1),(48,1),(50,1),(51,1),(65,1),(92,1),(94,1),(100,1),(116,1),(155,1),(160,1),(161,1),(202,1),(206,1),(209,1),(210,1),(229,1),(234,1),(241,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(52,1),(53,1),(103,1),(209,1)}
        33:{2,5,6,7}:{(17,1),(20,1),(54,1),(103,1),(164,1)}
        34:{1,4,6,7}:{(17,1),(18,1),(21,1),(52,1),(54,1)}
        35:{3,4,6,7}:{(18,1),(22,1),(53,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(52,1),(56,1),(57,1),(94,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(53,1),(147,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(47,1),(58,1),(59,1),(96,1),(110,1),(155,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(49,1),(61,1),(62,1),(110,1),(155,1),(168,1),(204,1)}
        42:{2,4,7}:{(24,1),(50,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(100,1),(103,1),(116,1),(155,1),(162,1),(165,1),(209,1),(210,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(67,1),(68,1),(120,1),(125,1),(180,1),(221,1)}
        46:{2,3,5,7}:{(27,1),(30,1),(66,1),(67,1),(68,1),(121,1),(189,1),(224,1)}
        47:{1,3,5,6}:{(28,1),(30,1),(38,1),(66,1),(69,1),(70,1),(124,1),(126,1),(183,1),(223,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(39,1),(69,1),(70,1),(84,1),(120,1),(125,1),(143,1),(186,1),(191,1),(221,1),(237,1)}
        49:{1,3,5,7}:{(29,1),(41,1),(67,1),(71,1),(72,1),(121,1),(124,1),(183,1),(222,1)}
        50:{1,4,7}:{(30,1),(42,1),(68,1),(69,1)}
        51:{1,3,5,7}:{(31,1),(43,1),(70,1),(73,1),(74,1),(121,1),(124,1),(187,1),(223,1),(224,1),(225,1),(238,1),(244,1)}
        52:{1,4,5,7}:{(32,1),(34,1),(36,1),(75,1),(76,1),(134,1),(188,1)}
        53:{3,5,7}:{(32,1),(35,1),(37,1),(224,1)}
        54:{2,4,6,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(40,1),(76,1),(77,1),(78,1),(132,1),(135,1),(188,1),(224,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(75,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(76,1),(79,1),(80,1),(124,1)}
        58:{2,4,6}:{(38,1),(42,1),(69,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(71,1),(86,1),(140,1),(178,1),(182,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(72,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(224,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(130,1),(134,1),(183,1),(188,1),(190,1)}
        66:{2,3,5,6}:{(46,1),(47,1),(90,1),(91,1),(96,1),(147,1),(150,1),(155,1),(167,1),(211,1),(212,1)}
        67:{2,5,7}:{(45,1),(49,1),(91,1),(155,1)}
        68:{2,4,7}:{(46,1),(50,1),(90,1),(93,1)}
        69:{1,4,6}:{(47,1),(50,1),(58,1),(90,1),(94,1),(234,1)}
        70:{1,3,6}:{(48,1),(51,1),(59,1),(96,1),(150,1),(211,1),(242,1)}
        71:{1,3,5,6}:{(49,1),(61,1),(91,1),(98,1),(150,1),(201,1),(205,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(62,1),(92,1),(94,1),(98,1)}
        73:{1,3,4,7}:{(50,1),(51,1),(63,1),(93,1),(95,1),(100,1),(234,1),(235,1),(243,1)}
        74:{2,3,5,7}:{(51,1),(96,1),(100,1),(101,1),(116,1),(155,1),(171,1),(202,1),(203,1),(212,1),(232,1)}
        75:{2,4,5,7}:{(52,1),(54,1),(56,1),(102,1),(103,1),(162,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(57,1),(102,1),(103,1)}
        77:{3,6,7}:{(54,1),(59,1),(102,1)}
        78:{2,4,6,7}:{(55,1),(60,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{3,5,6}:{(56,1),(59,1),(102,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(103,1),(108,1),(155,1)}
        81:{2,4,5}:{(58,1),(94,1),(110,1),(155,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(97,1),(113,1),(168,1),(200,1),(204,1)}
        86:{2,4,6}:{(61,1),(62,1),(98,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(100,1),(111,1),(115,1),(162,1),(203,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{2,4,6}:{(66,1),(68,1),(69,1),(117,1),(118,1),(226,1)}
        91:{2,5,6}:{(67,1),(71,1),(120,1),(221,1)}
        92:{2,4,5,7}:{(67,1),(68,1),(72,1),(117,1),(120,1),(121,1)}
        93:{3,4,7}:{(68,1),(118,1),(121,1),(224,1)}
        94:{1,4,5}:{(69,1),(81,1),(117,1),(124,1),(183,1)}
        95:{1,3,4,6}:{(69,1),(70,1),(73,1),(82,1),(118,1),(124,1),(125,1)}
        96:{2,3,6}:{(70,1),(74,1),(125,1),(126,1),(143,1),(221,1)}
        97:{1,3,5,6,7}:{(71,1),(85,1),(119,1),(127,1),(177,1),(181,1),(220,1),(222,1)}
        98:{1,4,6}:{(71,1),(72,1),(86,1),(120,1)}
        99:{1,3,4,5,7}:{(72,1),(73,1),(87,1),(121,1),(124,1),(128,1),(129,1),(172,1),(179,1),(181,1),(213,1),(215,1),(236,1),(238,1),(244,1)}
       100:{2,4,7}:{(73,1),(74,1),(125,1),(130,1),(226,1),(240,1)}
       101:{1,3,5,7}:{(74,1),(126,1),(130,1),(131,1),(183,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(77,1),(79,1),(132,1)}
       103:{2,5,7}:{(76,1),(78,1),(80,1),(134,1)}
       104:{2,3,6,7}:{(77,1),(78,1),(83,1),(133,1),(135,1),(224,1)}
       105:{1,4,6,7}:{(78,1),(84,1),(134,1),(135,1),(188,1)}
       106:{3,4,6}:{(79,1),(132,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(133,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(134,1),(183,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(123,1),(139,1),(140,1),(182,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(137,1),(141,1),(142,1),(219,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(127,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(130,1),(142,1),(145,1),(187,1),(188,1),(224,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{2,4,5}:{(90,1),(94,1),(147,1),(155,1)}
       118:{3,4,6}:{(90,1),(93,1),(147,1),(150,1),(211,1),(235,1)}
       119:{2,5,6,7}:{(91,1),(97,1),(149,1),(204,1),(233,1)}
       120:{2,4,6}:{(91,1),(92,1),(98,1),(150,1)}
       121:{3,5,7}:{(92,1),(93,1),(147,1),(150,1)}
       122:{2,3,4,7}:{(93,1),(100,1),(148,1),(151,1),(152,1),(171,1),(227,1),(243,1)}
       123:{1,4,5,6}:{(94,1),(98,1),(109,1),(146,1),(153,1),(154,1),(205,1),(228,1)}
       124:{1,3,5}:{(94,1),(95,1),(110,1),(147,1),(155,1)}
       125:{2,4,6}:{(95,1),(96,1),(100,1),(155,1),(156,1)}
       126:{1,3,6}:{(96,1),(101,1),(156,1),(157,1)}
       127:{1,4,6,7}:{(97,1),(98,1),(113,1),(149,1),(153,1)}
       128:{1,3,4,6}:{(98,1),(99,1),(114,1),(150,1),(154,1),(159,1),(194,1),(201,1),(228,1),(242,1)}
       129:{2,4,5,7}:{(99,1),(100,1),(151,1),(155,1),(159,1),(160,1),(195,1),(202,1),(204,1),(227,1),(229,1),(241,1)}
       130:{1,4,7}:{(100,1),(101,1),(156,1),(234,1)}
       131:{1,2,5,7}:{(101,1),(116,1),(157,1),(161,1),(202,1),(206,1)}
       132:{3,4,7}:{(102,1),(106,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(162,1),(163,1)}
       134:{1,5,7}:{(103,1),(105,1),(108,1)}
       135:{1,3,6,7}:{(104,1),(105,1),(112,1),(163,1),(164,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(162,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(163,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(153,1),(168,1),(204,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(155,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(156,1),(166,1),(169,1),(170,1),(207,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,5,6}:{(117,1),(120,1),(123,1),(173,1),(174,1),(182,1),(214,1)}
       147:{3,5}:{(117,1),(118,1)}
       148:{2,3,4,6}:{(118,1),(122,1),(125,1),(175,1),(176,1),(178,1),(193,1),(214,1),(226,1)}
       149:{2,4,6,7}:{(119,1),(120,1),(127,1),(173,1),(177,1)}
       150:{3,6}:{(120,1),(121,1)}
       151:{2,3,5,7}:{(121,1),(122,1),(129,1),(175,1),(178,1),(179,1),(238,1),(244,1)}
       152:{1,3,4,7}:{(122,1),(130,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(127,1),(139,1),(173,1),(181,1),(222,1),(236,1)}
       154:{1,3,5,6}:{(123,1),(124,1),(128,1),(140,1),(174,1),(181,1),(182,1)}
       155:{2,5}:{(124,1),(125,1),(183,1)}
       156:{1,4,6}:{(125,1),(126,1),(130,1),(183,1)}
       157:{1,2,6}:{(126,1),(131,1),(143,1),(221,1)}
       158:{1,3,4,6,7}:{(127,1),(128,1),(144,1),(177,1),(181,1),(185,1),(213,1),(220,1),(236,1),(244,1)}
       159:{2,4,6}:{(128,1),(129,1),(178,1),(182,1),(186,1),(221,1)}
       160:{1,4,5,7}:{(129,1),(130,1),(179,1),(183,1),(186,1),(215,1),(222,1),(236,1)}
       161:{1,2,4,7}:{(130,1),(131,1),(145,1),(180,1),(184,1),(187,1)}
       162:{2,4,7}:{(132,1),(133,1),(137,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(138,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(135,1),(143,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(188,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(189,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(183,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(187,1),(193,1),(224,1)}
       172:{3,4,5}:{(147,1),(194,1),(195,1),(235,1)}
       173:{2,4,5,7}:{(146,1),(149,1),(153,1),(196,1),(204,1),(227,1)}
       174:{3,5,6}:{(146,1),(147,1),(150,1),(194,1),(196,1)}
       175:{2,3,5}:{(147,1),(148,1),(155,1),(195,1),(198,1)}
       176:{1,3,4,6}:{(148,1),(152,1),(156,1),(198,1),(199,1),(201,1),(207,1),(228,1),(234,1),(242,1),(243,1)}
       177:{3,6,7}:{(149,1),(150,1),(196,1)}
       178:{2,3,6}:{(150,1),(151,1),(159,1),(201,1),(242,1)}
       179:{1,3,5,7}:{(151,1),(152,1),(160,1),(198,1),(201,1),(202,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(158,1),(168,1),(196,1),(204,1)}
       182:{2,5,6}:{(154,1),(155,1),(159,1),(204,1),(205,1)}
       183:{1,5}:{(155,1),(156,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(161,1),(170,1),(199,1),(206,1),(207,1),(234,1)}
       185:{2,4,6,7}:{(158,1),(159,1),(200,1),(204,1),(208,1),(227,1),(233,1),(241,1)}
       186:{1,4,6}:{(159,1),(160,1),(201,1),(205,1)}
       187:{1,3,7}:{(161,1),(171,1),(203,1),(207,1)}
       188:{1,4,7}:{(162,1),(163,1),(166,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(167,1),(209,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(209,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(207,1),(211,1),(212,1)}
       194:{3,4,6}:{(172,1),(174,1),(213,1),(214,1)}
       195:{2,4,5}:{(172,1),(175,1),(214,1),(215,1),(226,1)}
       196:{3,5,7}:{(173,1),(174,1),(177,1),(213,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(182,1),(214,1),(216,1),(217,1)}
       198:{1,3,5}:{(175,1),(176,1),(183,1),(215,1),(218,1),(238,1)}
       199:{2,4,6}:{(176,1),(180,1),(218,1),(219,1),(221,1),(240,1)}
       200:{2,3,6,7}:{(177,1),(178,1),(185,1),(216,1),(220,1),(244,1)}
       201:{1,3,6}:{(178,1),(179,1),(186,1),(221,1)}
       202:{2,5,7}:{(179,1),(180,1),(218,1),(221,1)}
       203:{2,3,7}:{(180,1),(187,1),(219,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(185,1),(222,1)}
       205:{1,5,6}:{(182,1),(183,1),(186,1),(222,1)}
       206:{1,2,5}:{(183,1),(184,1),(192,1),(218,1),(223,1)}
       207:{1,3,6}:{(184,1),(187,1),(193,1),(219,1),(223,1)}
       208:{1,4,6,7}:{(185,1),(186,1),(220,1),(222,1),(236,1)}
       209:{2,4,7}:{(188,1),(189,1),(191,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(224,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(223,1),(225,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,4,6}:{(194,1),(195,1),(197,1),(227,1),(228,1)}
       215:{1,4,5}:{(195,1),(198,1),(228,1),(229,1),(234,1)}
       216:{2,3,5,7}:{(196,1),(197,1),(200,1),(204,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(205,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,5}:{(198,1),(199,1)}
       219:{2,3,6}:{(199,1),(203,1),(207,1),(232,1),(242,1)}
       220:{1,3,6,7}:{(200,1),(201,1),(208,1),(230,1),(233,1)}
       221:{2,6}:{(201,1),(202,1)}
       222:{1,5,7}:{(204,1),(205,1),(208,1)}
       223:{1,3,5}:{(206,1),(207,1),(212,1),(232,1),(234,1)}
       224:{3,7}:{(209,1),(211,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,4,6}:{(214,1),(215,1),(217,1),(236,1),(237,1)}
       229:{2,4,5}:{(215,1),(218,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(216,1),(217,1),(220,1),(222,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(217,1),(218,1),(221,1),(237,1),(239,1)}
       232:{2,3,5}:{(218,1),(219,1),(223,1),(238,1),(240,1)}
       233:{2,6,7}:{(220,1),(221,1),(239,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 851 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(35,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(35,1),(45,1),(88,1),(101,1),(102,1),(192,1),(279,1),(286,1),(303,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(63,1),(124,1),(153,1),(234,1),(325,1),(347,1)}
         3:{2,5,6,7}:{(11,1),(14,1),(16,1),(135,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(16,1),(17,1),(58,1),(60,1),(62,1),(135,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(15,1),(17,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(15,1),(21,1),(244,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(343,1),(361,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(62,1),(128,1),(144,1),(246,1),(335,1),(342,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(63,1),(71,1),(76,1),(129,1),(138,1),(142,1),(150,1),(156,1),(253,1),(259,1),(341,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(97,1),(163,1),(189,1),(203,1),(269,1),(297,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(183,1),(276,1),(401,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(92,1),(96,1),(171,1),(183,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(288,1),(399,1)}
        14:{3,5,6,7}:{(3,1),(33,1),(36,1),(94,1),(388,1),(479,1)}
        15:{3,4,6}:{(5,1),(6,1),(34,1),(35,1),(468,1)}
        16:{2,4,6,7}:{(3,1),(4,1),(30,1),(33,1),(36,1),(91,1),(393,1)}
        17:{3,5,7}:{(4,1),(5,1),(34,1),(36,1),(278,1)}
        18:{2,3,5,6}:{(5,1),(7,1),(32,1),(35,1),(37,1),(38,1),(45,1),(88,1),(109,1)}
        19:{1,3,4,5}:{(6,1),(29,1),(39,1),(44,1),(81,1),(103,1),(112,1),(166,1),(197,1),(272,1),(288,1)}
        20:{3,4,5,7}:{(6,1),(34,1),(42,1),(43,1),(94,1),(301,1),(390,1),(410,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(35,1),(44,1),(192,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(397,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(311,1),(316,1),(396,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(96,1),(107,1),(176,1),(185,1),(199,1),(205,1),(395,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(177,1),(190,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(235,1),(353,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(137,1),(220,1),(235,1),(349,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(138,1),(238,1),(351,1)}
        29:{1,3,4,6}:{(13,1),(15,1),(19,1),(51,1),(55,1),(56,1),(63,1),(124,1),(129,1),(138,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(16,1),(52,1),(57,1),(132,1),(347,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(17,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(343,1),(445,1)}
        33:{4,6,7}:{(14,1),(60,1),(437,1),(508,1)}
        34:{3,4,7}:{(15,1),(17,1),(62,1),(437,1)}
        35:{2,4,6}:{(15,1),(18,1),(21,1),(62,1),(63,1)}
        36:{3,6,7}:{(16,1),(17,1),(439,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(58,1),(62,1),(64,1),(65,1),(128,1),(135,1)}
        38:{1,3,5,6}:{(18,1),(23,1),(59,1),(63,1),(65,1),(66,1),(76,1),(129,1),(138,1),(153,1),(258,1)}
        39:{2,4,5}:{(19,1),(56,1),(67,1),(68,1),(146,1),(251,1),(343,1)}
        40:{1,2,4,6}:{(25,1),(69,1),(70,1),(71,1),(145,1),(148,1),(150,1),(227,1),(242,1),(253,1),(341,1)}
        41:{4,5,6}:{(60,1),(72,1),(454,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(62,1),(73,1),(74,1),(135,1),(246,1),(361,1)}
        44:{1,4,5}:{(21,1),(23,1),(63,1),(75,1),(150,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(445,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(443,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(228,1)}
        49:{2,3,6}:{(25,1),(71,1),(78,1),(79,1),(138,1),(243,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(292,1),(404,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(91,1),(297,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(185,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(88,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(34,1),(83,1),(89,1),(96,1),(171,1),(176,1),(185,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(39,1),(88,1),(89,1),(90,1),(177,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(36,1),(85,1),(91,1),(399,1)}
        58:{2,5,7}:{(31,1),(32,1),(89,1),(91,1),(92,1)}
        59:{1,5,6}:{(32,1),(90,1),(92,1),(396,1),(482,1)}
        60:{4,5,7}:{(33,1),(41,1),(94,1)}
        61:{3,4,6,7}:{(33,1),(34,1),(36,1),(42,1),(94,1),(95,1)}
        62:{2,4,7}:{(34,1),(35,1),(37,1),(96,1)}
        63:{1,4,6}:{(35,1),(38,1),(44,1),(96,1),(97,1),(315,1)}
        64:{2,3,6,7}:{(36,1),(37,1),(45,1),(91,1),(95,1),(98,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(92,1),(96,1),(98,1),(99,1),(176,1),(183,1),(185,1),(292,1)}
        66:{2,5,6}:{(38,1),(47,1),(97,1),(99,1),(113,1),(177,1)}
        67:{2,3,5}:{(39,1),(88,1),(101,1),(103,1),(112,1),(272,1)}
        68:{1,4,5}:{(39,1),(90,1),(103,1),(308,1),(396,1)}
        69:{1,2,5}:{(40,1),(47,1),(106,1),(194,1),(311,1),(396,1)}
        70:{1,2,4,7}:{(40,1),(48,1),(105,1),(107,1),(193,1),(199,1),(283,1),(395,1)}
        71:{1,3,6}:{(40,1),(49,1),(102,1),(106,1),(107,1),(299,1)}
        72:{3,5,6}:{(41,1),(42,1),(94,1),(109,1),(410,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(96,1),(110,1),(111,1),(183,1),(199,1),(311,1)}
        75:{2,4,5}:{(44,1),(47,1),(97,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(482,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(106,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(107,1),(185,1)}
        80:{2,3,4,6}:{(49,1),(108,1),(115,1),(116,1),(117,1),(186,1),(207,1),(209,1),(210,1),(286,1),(300,1),(409,1)}
        81:{3,4,5}:{(51,1),(119,1),(238,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(349,1),(449,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(349,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(351,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(128,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(129,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,6}:{(56,1),(67,1),(128,1),(129,1),(138,1),(223,1)}
        89:{2,4,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(228,1)}
        90:{1,4,6}:{(56,1),(59,1),(68,1),(129,1),(130,1)}
        91:{2,6,7}:{(57,1),(58,1),(132,1),(445,1)}
        92:{1,5,7}:{(58,1),(59,1),(130,1),(132,1)}
        93:{1,2,5,6}:{(59,1),(66,1),(69,1),(127,1),(131,1),(133,1),(134,1),(148,1),(227,1),(249,1),(321,1),(343,1),(421,1),(444,1),(445,1),(504,1)}
        94:{3,5,7}:{(60,1),(61,1),(72,1),(135,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(135,1),(136,1)}
        96:{1,4,7}:{(62,1),(63,1),(65,1),(137,1),(349,1)}
        97:{2,4,6}:{(63,1),(66,1),(75,1),(137,1),(138,1)}
        98:{1,3,6,7}:{(64,1),(65,1),(76,1),(132,1),(136,1),(139,1),(236,1)}
        99:{2,5,7}:{(65,1),(66,1),(137,1),(139,1),(228,1)}
       100:{2,3,5,6}:{(66,1),(78,1),(134,1),(138,1),(140,1),(141,1),(157,1),(229,1),(238,1),(258,1),(262,1),(343,1),(351,1),(353,1),(420,1),(445,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       101:{2,3,4}:{(67,1),(142,1),(156,1),(251,1),(328,1),(355,1)}
       102:{2,3,6}:{(71,1),(143,1),(144,1),(145,1),(355,1),(360,1)}
       103:{1,3,5}:{(67,1),(68,1),(129,1),(142,1),(146,1)}
       104:{1,2,4,5}:{(68,1),(69,1),(75,1),(131,1),(146,1),(147,1),(150,1),(217,1),(234,1),(242,1),(247,1),(251,1),(321,1),(343,1),(365,1),(423,1),(451,1),(493,1)}
       105:{1,2,5,7}:{(69,1),(70,1),(77,1),(148,1),(149,1),(248,1),(443,1)}
       106:{1,3,5}:{(69,1),(71,1),(78,1),(143,1),(150,1)}
       107:{1,3,7}:{(70,1),(71,1),(79,1),(144,1)}
       108:{1,3,4,6}:{(71,1),(80,1),(145,1),(150,1),(151,1),(152,1),(244,1),(253,1),(255,1),(256,1),(341,1),(356,1),(358,1),(360,1),(452,1)}
       109:{2,5,6}:{(72,1),(73,1),(135,1),(153,1),(361,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(137,1),(154,1),(155,1),(158,1),(235,1),(262,1),(349,1),(370,1)}
       112:{3,5}:{(75,1),(138,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(149,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(150,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(151,1),(158,1),(160,1),(237,1),(264,1),(342,1),(453,1)}
       117:{2,3,5}:{(80,1),(152,1),(159,1),(238,1),(262,1),(343,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(294,1),(403,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(101,1),(162,1),(167,1),(168,1),(186,1),(266,1),(286,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(91,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(92,1),(171,1),(173,1),(174,1),(176,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(177,1),(268,1),(376,1)}
       128:{2,3,7}:{(88,1),(89,1),(176,1),(185,1),(278,1)}
       129:{1,3,6}:{(88,1),(90,1),(103,1),(176,1),(177,1)}
       130:{1,4,7}:{(89,1),(90,1),(92,1),(176,1)}
       131:{1,2,4,6}:{(90,1),(93,1),(97,1),(104,1),(172,1),(177,1),(178,1),(179,1),(182,1),(286,1),(305,1),(415,1),(486,1),(517,1)}
       132:{1,6,7}:{(91,1),(92,1),(482,1)}
       133:{1,2,5,7}:{(92,1),(93,1),(99,1),(174,1),(178,1),(180,1),(181,1),(283,1),(307,1),(397,1),(483,1),(526,1)}
       134:{1,3,5,6}:{(93,1),(100,1),(106,1),(175,1),(179,1),(181,1),(182,1),(198,1),(284,1),(288,1),(311,1),(375,1),(396,1),(399,1),(401,1),(462,1),(482,1),(518,1)}
       135:{2,5,7}:{(94,1),(95,1),(109,1),(183,1)}
       136:{1,4,6,7}:{(95,1),(96,1),(98,1),(110,1),(183,1),(184,1)}
       137:{2,4,7}:{(96,1),(97,1),(99,1),(185,1)}
       138:{3,6}:{(97,1),(112,1),(185,1)}
       139:{2,6,7}:{(98,1),(99,1),(113,1)}
       140:{2,3,5,7}:{(99,1),(100,1),(181,1),(185,1),(187,1),(188,1),(285,1),(292,1),(294,1),(296,1),(397,1),(526,1),(542,1),(551,1)}
       141:{2,4,6}:{(100,1),(115,1),(182,1),(186,1),(188,1),(189,1),(315,1),(461,1),(550,1)}
       142:{1,3,4}:{(101,1),(103,1),(190,1),(299,1),(308,1)}
       143:{2,3,5}:{(102,1),(106,1),(192,1),(194,1),(302,1)}
       144:{2,3,7}:{(102,1),(107,1),(193,1),(412,1)}
       145:{2,4,6}:{(102,1),(108,1),(192,1),(193,1),(194,1),(306,1),(407,1),(486,1)}
       146:{2,5}:{(103,1),(177,1),(190,1)}
       147:{1,3,5}:{(104,1),(112,1),(179,1),(196,1),(197,1),(272,1),(299,1),(302,1),(514,1)}
       148:{1,2,6}:{(105,1),(113,1),(198,1),(306,1),(482,1)}
       149:{1,3,5,7}:{(105,1),(106,1),(107,1),(114,1),(191,1),(198,1),(199,1),(311,1)}
       150:{1,4}:{(106,1),(115,1),(192,1)}
       151:{1,3,4,7}:{(107,1),(108,1),(116,1),(193,1),(199,1),(201,1),(301,1),(313,1),(395,1),(412,1),(487,1)}
       152:{1,3,5}:{(108,1),(117,1),(194,1),(200,1),(302,1),(311,1),(396,1),(410,1)}
       153:{1,5,6}:{(109,1),(110,1),(183,1),(203,1),(311,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(185,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(198,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(199,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(200,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(201,1),(208,1),(210,1),(294,1),(397,1)}
       161:{2,3,5,6}:{(117,1),(202,1),(209,1),(210,1),(211,1),(295,1),(319,1),(398,1),(409,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(238,1),(343,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(449,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(351,1),(449,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(128,1),(212,1),(218,1),(237,1),(342,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(129,1),(142,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(341,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(132,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(228,1)}
       175:{2,3,5,6}:{(127,1),(134,1),(143,1),(223,1),(225,1),(226,1),(229,1),(245,1),(249,1),(324,1),(336,1),(343,1),(360,1),(361,1),(424,1),(427,1),(439,1),(441,1),(445,1),(455,1),(497,1)}
       176:{1,3,7}:{(128,1),(129,1),(130,1),(228,1)}
       177:{2,6}:{(129,1),(146,1),(228,1)}
       178:{1,2,4,7}:{(130,1),(131,1),(133,1),(137,1),(222,1),(228,1),(230,1),(233,1),(342,1),(363,1),(458,1),(511,1),(534,1)}
       179:{1,3,6}:{(131,1),(138,1),(147,1),(223,1),(229,1),(230,1),(360,1),(531,1)}
       180:{1,2,6,7}:{(132,1),(133,1),(139,1),(148,1),(224,1),(232,1),(364,1),(421,1),(445,1),(510,1),(539,1)}
       181:{1,3,5,7}:{(133,1),(134,1),(140,1),(225,1),(230,1),(232,1),(233,1),(340,1),(346,1),(443,1)}
       182:{1,4,6}:{(134,1),(141,1),(150,1),(226,1),(233,1),(234,1),(423,1)}
       183:{1,5,7}:{(135,1),(136,1),(153,1),(235,1)}
       184:{2,4,6,7}:{(136,1),(137,1),(139,1),(154,1),(235,1),(236,1),(349,1)}
       185:{3,7}:{(137,1),(138,1)}
       186:{3,4,6}:{(138,1),(141,1),(156,1),(237,1),(238,1),(351,1),(490,1),(531,1)}
       187:{2,3,6,7}:{(139,1),(140,1),(157,1),(232,1),(236,1),(239,1),(351,1),(445,1),(491,1),(539,1),(548,1)}
       188:{2,4,7}:{(140,1),(141,1),(233,1),(237,1),(349,1),(552,1)}
       189:{2,4,5}:{(141,1),(234,1),(238,1),(262,1),(343,1),(370,1),(532,1),(546,1)}
       190:{2,4}:{(142,1),(146,1),(243,1)}
       191:{2,3,5,7}:{(143,1),(144,1),(149,1),(245,1),(246,1),(248,1),(359,1),(361,1)}
       192:{2,4}:{(143,1),(150,1),(244,1)}
       193:{2,4,7}:{(144,1),(145,1),(151,1),(248,1),(511,1)}
       194:{2,5}:{(145,1),(152,1)}
       195:{1,2,5}:{(146,1),(227,1),(242,1),(250,1),(451,1)}
       196:{2,3,5}:{(146,1),(147,1),(229,1),(243,1),(250,1),(251,1),(343,1),(355,1),(451,1)}
       197:{1,3,4}:{(147,1),(150,1),(156,1),(244,1),(251,1),(328,1),(423,1),(490,1)}
       198:{1,3,6}:{(148,1),(149,1),(157,1),(245,1),(253,1)}
       199:{1,4,7}:{(149,1),(150,1),(158,1),(246,1),(253,1)}
       200:{1,4,5}:{(150,1),(152,1),(159,1),(247,1),(255,1),(454,1)}
       201:{1,3,5,7}:{(151,1),(152,1),(160,1),(248,1),(254,1),(256,1),(359,1),(443,1)}
       202:{1,3,5,6}:{(152,1),(161,1),(249,1),(255,1),(256,1),(257,1),(360,1),(368,1),(444,1),(452,1),(455,1)}
       203:{2,5,6}:{(153,1),(154,1),(235,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(349,1)}
       206:{3,4,5}:{(156,1),(159,1),(238,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(253,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(254,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(255,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(256,1),(263,1),(351,1),(445,1)}
       211:{2,3,5,7}:{(161,1),(257,1),(264,1),(265,1),(352,1),(373,1),(446,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(294,1),(397,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(396,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(176,1),(267,1),(274,1),(278,1),(381,1),(384,1),(395,1),(463,1)}
       219:{2,4,6}:{(168,1),(177,1),(190,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(181,1),(278,1),(280,1),(281,1),(285,1),(307,1),(388,1),(390,1),(392,1),(397,1),(412,1),(489,1)}
       226:{2,4,6}:{(175,1),(182,1),(192,1),(279,1),(281,1),(282,1),(378,1),(468,1),(488,1)}
       227:{1,2,6}:{(177,1),(195,1),(283,1),(284,1),(486,1)}
       228:{2,7}:{(176,1),(177,1)}
       229:{2,3,6}:{(177,1),(179,1),(196,1),(284,1),(285,1),(286,1),(486,1)}
       230:{1,3,7}:{(178,1),(179,1),(185,1),(278,1),(285,1),(412,1),(542,1)}
       231:{1,3,4,6}:{(179,1),(182,1),(186,1),(197,1),(279,1),(286,1),(287,1),(288,1),(399,1)}
       232:{1,3,6,7}:{(180,1),(181,1),(187,1),(198,1),(280,1),(289,1),(399,1),(462,1),(482,1)}
       233:{1,4,7}:{(181,1),(182,1),(188,1),(281,1)}
       234:{1,4,5}:{(182,1),(189,1),(282,1),(288,1),(311,1),(396,1),(518,1)}
       235:{2,5,7}:{(183,1),(184,1),(203,1),(292,1)}
       236:{3,6,7}:{(184,1),(185,1),(204,1),(292,1)}
       237:{3,4,7}:{(185,1),(186,1),(188,1),(294,1),(542,1)}
       238:{3,5}:{(186,1),(189,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(207,1),(289,1),(293,1),(296,1),(297,1),(515,1)}
       240:{2,4,5,7}:{(188,1),(189,1),(290,1),(294,1),(296,1),(297,1),(397,1),(403,1)}
       241:{2,4,5,6}:{(189,1),(209,1),(291,1),(295,1),(297,1),(298,1),(319,1),(398,1),(418,1),(517,1),(543,1),(550,1)}
       242:{1,2,4}:{(190,1),(195,1),(299,1),(308,1),(407,1)}
       243:{2,3}:{(190,1),(299,1)}
       244:{3,4}:{(192,1),(302,1)}
       245:{2,3,6}:{(191,1),(198,1),(303,1),(306,1),(411,1)}
       246:{2,4,7}:{(191,1),(192,1),(199,1),(301,1),(303,1)}
       247:{2,4,5}:{(192,1),(194,1),(200,1),(302,1),(305,1)}
       248:{2,5,7}:{(193,1),(194,1),(201,1),(306,1)}
       249:{2,5,6}:{(194,1),(202,1),(305,1),(306,1),(307,1),(486,1)}
       250:{1,3,5}:{(195,1),(196,1),(284,1),(299,1),(308,1),(396,1)}
       251:{2,4}:{(196,1),(197,1),(308,1)}
       252:{1,3,4,5}:{(197,1),(200,1),(206,1),(288,1),(302,1),(309,1),(310,1),(382,1),(408,1),(464,1),(514,1)}
       253:{1,4,6}:{(198,1),(199,1),(207,1),(303,1),(311,1)}
       254:{1,4,5,7}:{(199,1),(200,1),(201,1),(208,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       255:{1,4,6}:{(200,1),(202,1),(209,1),(305,1),(313,1),(488,1)}
       256:{1,3,6}:{(201,1),(210,1),(306,1),(312,1),(411,1),(482,1)}
       257:{1,3,5,7}:{(202,1),(211,1),(307,1),(313,1),(314,1),(412,1),(417,1),(483,1),(487,1),(489,1)}
       258:{3,5,6}:{(203,1),(204,1),(292,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(294,1),(316,1),(317,1),(318,1),(403,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(295,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(311,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(312,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(313,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(314,1),(320,1),(405,1),(484,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(351,1),(445,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(443,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(242,1),(321,1),(329,1),(330,1),(341,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(228,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(243,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(244,1),(328,1),(335,1),(336,1),(360,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(232,1),(245,1),(334,1),(337,1),(364,1),(424,1),(439,1),(445,1),(456,1)}
       281:{2,4,7}:{(225,1),(226,1),(233,1),(335,1),(437,1),(512,1)}
       282:{2,4,5}:{(226,1),(234,1),(336,1),(343,1),(361,1),(454,1),(497,1),(500,1)}
       283:{1,2,7}:{(227,1),(228,1),(340,1),(511,1)}
       284:{1,3,6}:{(227,1),(229,1),(250,1),(340,1),(341,1)}
       285:{2,3,7}:{(228,1),(229,1),(230,1),(340,1),(342,1),(511,1)}
       286:{2,4,6}:{(229,1),(231,1),(251,1),(341,1),(342,1),(343,1),(445,1)}
       287:{1,3,4,7}:{(230,1),(231,1),(233,1),(237,1),(335,1),(342,1),(344,1)}
       288:{1,3,5}:{(231,1),(234,1),(238,1),(336,1),(343,1)}
       289:{1,4,6,7}:{(232,1),(233,1),(239,1),(253,1),(337,1),(346,1),(347,1),(494,1)}
       290:{1,4,5,7}:{(233,1),(234,1),(240,1),(338,1),(344,1),(346,1),(347,1),(443,1)}
       291:{1,4,5,6}:{(234,1),(241,1),(255,1),(339,1),(345,1),(347,1),(348,1),(368,1),(444,1),(496,1),(535,1)}
       292:{3,5,7}:{(235,1),(236,1),(258,1),(349,1)}
       293:{3,4,6,7}:{(236,1),(237,1),(239,1),(259,1),(349,1),(350,1),(351,1),(449,1),(529,1),(548,1),(552,1)}
       294:{3,5,7}:{(237,1),(238,1),(240,1),(351,1)}
       295:{3,5,6}:{(238,1),(241,1),(261,1),(351,1),(352,1),(531,1)}
       296:{2,5,7}:{(239,1),(262,1),(346,1),(350,1),(353,1),(532,1)}
       297:{2,4,6}:{(240,1),(347,1),(351,1),(353,1),(445,1),(449,1)}
       298:{2,4,5,7}:{(241,1),(264,1),(348,1),(352,1),(354,1),(373,1),(446,1),(459,1),(534,1),(549,1),(552,1)}
       299:{1,3}:{(242,1),(243,1),(355,1)}
       300:{2,3,4}:{(243,1),(244,1),(251,1),(356,1),(357,1),(490,1)}
       301:{3,4,7}:{(244,1),(246,1),(358,1),(359,1),(512,1)}
       302:{3,5}:{(244,1),(247,1),(360,1)}
       303:{2,4,6}:{(245,1),(246,1),(253,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(359,1),(361,1),(362,1),(363,1),(454,1),(457,1),(512,1)}
       305:{2,4,6}:{(247,1),(249,1),(255,1),(360,1),(363,1)}
       306:{2,6}:{(248,1),(256,1)}
       307:{2,5,7}:{(249,1),(257,1),(363,1),(364,1),(511,1)}
       308:{1,4}:{(250,1),(251,1)}
       309:{2,4,5}:{(251,1),(252,1),(343,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(252,1),(255,1),(261,1),(345,1),(360,1),(366,1),(367,1),(430,1),(452,1),(496,1),(531,1)}
       311:{1,5}:{(253,1),(262,1),(361,1)}
       312:{1,4,6}:{(254,1),(256,1),(263,1),(362,1),(368,1)}
       313:{1,4,7}:{(255,1),(257,1),(264,1),(363,1),(512,1)}
       314:{1,3,6,7}:{(256,1),(257,1),(265,1),(364,1),(369,1),(456,1),(510,1)}
       315:{4,6}:{(258,1),(349,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(351,1),(371,1),(449,1)}
       318:{3,4,7}:{(261,1),(264,1),(352,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(368,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(369,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(396,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(482,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(283,1),(374,1),(384,1),(395,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(299,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(286,1),(300,1),(378,1),(385,1),(386,1),(387,1),(409,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(412,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(289,1),(303,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(290,1),(390,1),(392,1),(393,1),(397,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(291,1),(305,1),(391,1),(393,1),(394,1),(398,1),(413,1),(467,1),(488,1),(521,1),(523,1)}
       340:{1,3,7}:{(283,1),(284,1),(285,1),(395,1)}
       341:{1,4,6}:{(284,1),(286,1),(308,1),(395,1),(396,1),(482,1)}
       342:{2,4,7}:{(285,1),(286,1),(287,1),(395,1),(397,1)}
       343:{2,5}:{(286,1),(288,1),(396,1)}
       344:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(390,1),(397,1),(399,1)}
       345:{1,3,5,6}:{(288,1),(291,1),(295,1),(310,1),(391,1),(398,1),(399,1),(400,1)}
       346:{1,5,7}:{(289,1),(296,1),(311,1),(392,1),(401,1),(518,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(399,1),(401,1),(482,1)}
       348:{1,4,5,7}:{(291,1),(298,1),(313,1),(394,1),(400,1),(402,1),(417,1),(483,1),(520,1),(545,1)}
       349:{4,7}:{(292,1),(315,1)}
       350:{3,5,7}:{(293,1),(296,1),(316,1),(403,1),(404,1),(540,1)}
       351:{3,6}:{(294,1),(297,1)}
       352:{3,5,7}:{(295,1),(298,1),(318,1),(405,1),(542,1)}
       353:{2,5,6}:{(296,1),(297,1),(401,1),(404,1)}
       354:{2,4,6,7}:{(297,1),(298,1),(402,1),(405,1),(406,1),(484,1),(485,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(302,1),(309,1),(408,1),(409,1),(514,1)}
       358:{3,4,6}:{(301,1),(303,1),(410,1),(411,1),(488,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,6}:{(302,1),(305,1),(412,1)}
       361:{2,5}:{(303,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(306,1),(312,1),(411,1),(413,1),(488,1)}
       363:{2,4,7}:{(305,1),(307,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(396,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(398,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(313,1),(318,1),(400,1),(412,1),(416,1),(471,1),(487,1),(520,1),(542,1)}
       368:{1,5,6}:{(311,1),(312,1),(319,1),(413,1),(417,1)}
       369:{1,4,6,7}:{(312,1),(313,1),(314,1),(320,1),(414,1),(417,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(405,1),(419,1),(485,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(443,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(454,1)}
       383:{2,3,6}:{(330,1),(355,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(356,1),(423,1),(432,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(342,1),(425,1),(433,1),(435,1),(453,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(343,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(358,1),(428,1),(437,1),(438,1),(439,1),(456,1),(508,1),(512,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(360,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(361,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(347,1),(439,1),(441,1),(445,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(363,1),(440,1),(442,1),(446,1),(457,1),(499,1),(512,1),(537,1),(538,1)}
       395:{1,4,7}:{(340,1),(341,1),(342,1),(443,1)}
       396:{1,5}:{(341,1),(343,1)}
       397:{2,5,7}:{(342,1),(343,1),(344,1),(443,1),(445,1)}
       398:{2,5,6}:{(343,1),(345,1),(366,1),(444,1),(445,1),(446,1)}
       399:{1,3,6}:{(344,1),(347,1),(351,1),(439,1),(445,1)}
       400:{1,3,5,7}:{(345,1),(348,1),(352,1),(367,1),(440,1),(446,1),(447,1)}
       401:{1,5,6}:{(346,1),(347,1),(353,1),(441,1)}
       402:{1,4,6,7}:{(347,1),(348,1),(354,1),(442,1),(447,1),(448,1),(510,1)}
       403:{4,5,7}:{(349,1),(350,1),(370,1),(449,1),(546,1),(552,1)}
       404:{3,5,6}:{(350,1),(351,1),(353,1),(449,1)}
       405:{3,6,7}:{(351,1),(352,1),(354,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(450,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(360,1),(366,1),(452,1),(453,1),(531,1)}
       410:{3,5}:{(358,1),(361,1),(454,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,7}:{(360,1),(363,1)}
       413:{2,5,6}:{(361,1),(362,1),(368,1),(455,1),(457,1)}
       414:{2,4,6,7}:{(362,1),(363,1),(364,1),(369,1),(456,1),(457,1),(512,1)}
       415:{1,4,6}:{(365,1),(366,1),(444,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(446,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{4,5,6}:{(370,1),(371,1),(449,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(482,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(488,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(407,1),(461,1),(472,1),(473,1),(486,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(395,1),(463,1),(472,1),(474,1),(487,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(396,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(397,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(398,1),(409,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(410,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(412,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(401,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(402,1),(480,1),(481,1),(484,1),(528,1)}
       443:{1,5,7}:{(395,1),(396,1),(397,1),(482,1)}
       444:{1,5,6}:{(396,1),(398,1),(415,1),(482,1),(483,1)}
       445:{2,6}:{(397,1),(399,1),(482,1)}
       446:{2,5,7}:{(398,1),(400,1),(416,1),(483,1),(484,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(402,1),(405,1),(480,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{4,6}:{(403,1),(404,1)}
       450:{3,5,6,7}:{(404,1),(405,1),(406,1),(419,1),(485,1),(551,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(412,1),(416,1),(487,1),(542,1)}
       454:{4,5}:{(410,1),(488,1)}
       455:{3,5,6}:{(410,1),(411,1),(413,1),(488,1),(489,1)}
       456:{3,6,7}:{(411,1),(412,1),(414,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(489,1)}
       458:{1,4,7}:{(415,1),(416,1),(483,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(512,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(511,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(443,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(452,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(445,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(446,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(454,1),(500,1),(508,1),(512,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(509,1),(537,1)}
       482:{1,6}:{(443,1),(445,1)}
       483:{1,5,7}:{(444,1),(446,1),(458,1),(510,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{4,6}:{(454,1),(455,1),(512,1)}
       489:{3,5,7}:{(455,1),(456,1),(457,1),(512,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(486,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(482,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(489,1),(524,1),(528,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(511,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 852 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(74,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(5,1),(6,1),(105,1),(121,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(12,1),(58,1),(118,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(92,1),(117,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(67,1),(91,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(16,1),(17,1),(69,1),(74,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(21,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(44,1),(110,1),(111,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(77,1),(109,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(23,1),(24,1)}
        14:{3,5,6,7}:{(6,1),(24,1),(25,1),(121,1)}
        15:{1,3,4,5}:{(7,1),(16,1),(26,1),(47,1),(51,1),(76,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(15,1),(27,1),(28,1),(33,1),(53,1),(58,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(28,1),(86,1),(92,1)}
        18:{2,5,6}:{(9,1),(27,1),(31,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(28,1),(31,1),(32,1),(34,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(32,1)}
        21:{3,5,6}:{(11,1),(33,1),(34,1)}
        22:{2,4,5,7}:{(11,1),(12,1),(31,1),(34,1),(35,1),(62,1),(97,1),(99,1)}
        23:{1,4,6,7}:{(12,1),(13,1),(32,1),(35,1),(36,1)}
        24:{2,5,6,7}:{(13,1),(14,1),(36,1),(117,1)}
        25:{4,5,6,7}:{(14,1),(124,1)}
        26:{2,4,5}:{(15,1),(27,1),(38,1)}
        27:{2,4,6}:{(16,1),(18,1),(26,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(16,1),(17,1),(19,1),(41,1),(48,1),(71,1),(77,1)}
        29:{1,2,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1),(119,1)}
        30:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(44,1),(45,1),(72,1),(103,1),(110,1)}
        31:{2,5,7}:{(18,1),(19,1),(41,1),(46,1)}
        32:{1,3,6,7}:{(19,1),(20,1),(23,1),(46,1),(49,1)}
        33:{3,4,6}:{(21,1),(44,1),(47,1),(48,1)}
        34:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        35:{2,4,6,7}:{(22,1),(23,1),(46,1),(49,1),(50,1),(83,1)}
        36:{1,5,6,7}:{(23,1),(24,1),(50,1),(109,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(76,1),(84,1),(100,1)}
        38:{2,3,5}:{(26,1),(40,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(37,1),(53,1),(54,1),(58,1),(85,1)}
        40:{2,3,6}:{(27,1),(38,1),(53,1),(56,1)}
        41:{2,4,7}:{(27,1),(28,1),(31,1),(56,1)}
        42:{1,3,5,6}:{(29,1),(30,1),(53,1),(57,1),(58,1),(59,1),(87,1),(113,1),(118,1)}
        43:{1,2,5,7}:{(29,1),(31,1),(54,1),(59,1),(60,1),(112,1)}
        44:{2,4,6}:{(30,1),(33,1),(58,1),(61,1),(62,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(34,1),(56,1),(59,1),(62,1),(63,1),(97,1)}
        46:{2,6,7}:{(31,1),(32,1)}
        47:{3,4,5}:{(33,1),(61,1)}
        48:{3,4,7}:{(33,1),(34,1),(62,1)}
        49:{3,6,7}:{(34,1),(35,1)}
        50:{2,5,6,7}:{(35,1),(36,1),(66,1),(97,1)}
        51:{1,3,5}:{(37,1),(38,1),(53,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,3,6}:{(39,1),(40,1),(51,1),(69,1),(71,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(43,1),(71,1),(77,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(44,1),(52,1),(70,1),(72,1),(73,1),(103,1)}
        56:{2,3,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(69,1),(74,1),(75,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        58:{1,4,6}:{(42,1),(44,1),(74,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(71,1),(75,1),(77,1),(78,1),(109,1)}
        60:{1,2,6,7}:{(43,1),(46,1),(78,1),(119,1)}
        61:{2,4,5}:{(44,1),(47,1),(72,1),(76,1)}
        62:{2,4,7}:{(44,1),(45,1),(48,1),(77,1)}
        63:{2,3,6,7}:{(45,1),(46,1),(49,1),(78,1),(80,1),(103,1)}
        64:{3,4,5,7}:{(47,1),(48,1),(79,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(80,1),(81,1),(82,1),(83,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(100,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(53,1),(67,1),(85,1),(86,1)}
        70:{1,3,4,6}:{(53,1),(55,1),(58,1),(68,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        71:{1,3,7}:{(53,1),(54,1),(56,1),(86,1)}
        72:{2,3,5}:{(55,1),(61,1),(87,1)}
        73:{2,3,4,7}:{(55,1),(56,1),(62,1),(88,1),(89,1)}
        74:{2,4,6}:{(57,1),(58,1),(90,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(57,1),(59,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        76:{1,4,5}:{(58,1),(61,1),(87,1),(91,1)}
        77:{1,4,7}:{(58,1),(59,1),(62,1),(92,1)}
        78:{1,3,6,7}:{(59,1),(60,1),(63,1),(93,1),(95,1),(113,1)}
        79:{2,4,5,7}:{(61,1),(62,1),(64,1),(89,1),(94,1),(96,1),(97,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        81:{3,4,6}:{(64,1),(96,1),(98,1)}
        82:{3,5,7}:{(65,1),(97,1),(98,1),(99,1)}
        83:{4,6,7}:{(66,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,4,6}:{(69,1),(70,1),(84,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,5}:{(70,1),(72,1),(76,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(70,1),(71,1),(73,1),(77,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(79,1),(102,1),(103,1)}
        90:{3,4,6}:{(74,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(74,1),(76,1),(100,1),(104,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(105,1)}
        93:{2,3,6,7}:{(75,1),(78,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(76,1),(77,1),(79,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(77,1),(78,1),(80,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(79,1),(81,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(80,1),(82,1),(109,1),(110,1)}
        98:{3,5,6}:{(81,1),(82,1),(110,1),(111,1)}
        99:{4,5,7}:{(82,1),(83,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 853 :   0:{3,5,6,7}:{(2,1),(3,1),(22,1),(23,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(23,1),(32,1),(64,1),(231,1),(334,1),(408,1),(412,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(42,1),(265,1),(370,1)}
         3:{4,6,7}:{(0,1),(10,1),(364,1),(446,1)}
         4:{4,5,6}:{(10,1),(14,1),(381,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(451,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(15,1),(16,1),(42,1),(55,1),(94,1),(185,1),(287,1)}
         7:{2,3,4,7}:{(13,1),(17,1),(18,1),(94,1),(112,1),(171,1),(185,1),(368,1),(372,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(67,1),(214,1),(327,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(63,1),(413,1)}
        10:{4,5,7}:{(3,1),(4,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(24,1),(64,1)}
        12:{2,4,5,6}:{(4,1),(21,1),(25,1),(26,1),(29,1),(71,1),(73,1),(233,1),(314,1),(339,1),(404,1),(413,1)}
        13:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1),(33,1),(412,1),(416,1)}
        14:{3,5,6}:{(4,1),(5,1),(23,1),(29,1),(334,1)}
        15:{2,4,6}:{(5,1),(6,1),(27,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(28,1),(30,1),(31,1),(67,1),(83,1),(131,1),(144,1),(240,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1),(73,1),(140,1),(152,1),(153,1),(235,1),(249,1),(338,1),(343,1)}
        18:{1,3,4,7}:{(7,1),(28,1),(34,1),(35,1),(79,1),(82,1),(131,1),(144,1),(220,1),(224,1),(415,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(97,1),(166,1),(277,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(38,1),(39,1),(93,1),(374,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(12,1),(38,1),(40,1),(42,1),(92,1),(94,1),(265,1),(268,1),(364,1)}
        22:{3,6,7}:{(9,1),(40,1),(451,1)}
        23:{3,5,7}:{(10,1),(11,1),(14,1),(42,1)}
        24:{2,4,6,7}:{(11,1),(15,1),(41,1),(42,1),(43,1),(94,1)}
        25:{1,4,5,6}:{(12,1),(38,1),(44,1),(45,1),(50,1),(102,1),(105,1),(182,1),(262,1),(292,1),(374,1)}
        26:{3,5,6}:{(12,1),(40,1),(46,1),(285,1),(386,1),(451,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1),(451,1),(454,1)}
        28:{1,3,5,7}:{(13,1),(16,1),(18,1),(48,1),(49,1),(52,1),(56,1),(453,1)}
        29:{2,5,6}:{(14,1),(15,1),(42,1),(50,1),(287,1)}
        30:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(49,1),(51,1),(52,1),(97,1),(108,1),(118,1),(175,1),(178,1),(193,1),(195,1)}
        32:{3,4,5}:{(46,1),(55,1),(301,1),(386,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(287,1),(386,1),(390,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(48,1),(56,1),(57,1),(105,1),(110,1),(116,1),(186,1),(189,1),(191,1),(198,1),(204,1),(207,1),(389,1)}
        35:{2,4,7}:{(18,1),(49,1),(57,1),(58,1),(271,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(134,1),(228,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(63,1),(329,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(67,1),(129,1),(131,1),(214,1),(217,1)}
        39:{1,3,6,7}:{(20,1),(22,1),(61,1),(62,1),(63,1),(417,1)}
        40:{3,5,7}:{(21,1),(22,1),(26,1),(64,1),(320,1)}
        41:{2,3,6,7}:{(22,1),(24,1),(27,1),(63,1),(65,1),(66,1)}
        42:{2,5,7}:{(23,1),(24,1),(29,1),(67,1)}
        43:{1,4,6,7}:{(24,1),(30,1),(66,1),(67,1),(68,1),(131,1)}
        44:{2,4,5,6}:{(25,1),(60,1),(69,1),(71,1),(77,1),(122,1),(137,1),(145,1),(149,1),(212,1),(243,1),(329,1)}
        45:{1,3,5,6}:{(25,1),(26,1),(62,1),(69,1),(70,1),(71,1),(344,1),(417,1)}
        46:{3,4,6}:{(26,1),(32,1),(64,1),(73,1),(404,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(29,1),(33,1),(65,1),(71,1),(73,1),(74,1),(140,1)}
        48:{1,3,6}:{(27,1),(28,1),(30,1),(75,1),(78,1),(484,1)}
        49:{2,5,7}:{(28,1),(35,1),(75,1),(84,1)}
        50:{1,5,6}:{(29,1),(30,1),(67,1),(77,1),(240,1)}
        51:{2,4,6}:{(30,1),(31,1),(75,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(224,1)}
        53:{1,3,4,5}:{(32,1),(70,1),(80,1),(83,1),(136,1),(155,1),(160,1),(230,1),(254,1),(333,1),(344,1)}
        54:{1,2,4,7}:{(35,1),(72,1),(81,1),(82,1),(144,1),(154,1),(323,1),(415,1)}
        55:{2,4,5}:{(32,1),(33,1),(73,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(240,1),(430,1)}
        57:{2,4,6}:{(34,1),(35,1),(75,1),(84,1),(85,1),(161,1),(237,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(224,1)}
        59:{4,6,7}:{(36,1),(87,1),(178,1),(278,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(44,1),(87,1),(89,1),(92,1),(97,1),(166,1),(168,1),(175,1),(178,1)}
        61:{3,6,7}:{(37,1),(89,1),(376,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(45,1),(89,1),(91,1),(92,1)}
        63:{2,6,7}:{(39,1),(92,1),(93,1),(454,1)}
        64:{3,4,7}:{(40,1),(46,1),(94,1),(364,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(92,1),(94,1),(95,1),(171,1)}
        66:{1,3,6,7}:{(41,1),(43,1),(48,1),(93,1),(95,1),(96,1),(98,1)}
        67:{1,5,7}:{(42,1),(43,1),(50,1),(97,1)}
        68:{2,4,6,7}:{(43,1),(51,1),(96,1),(97,1),(98,1),(175,1),(178,1)}
        69:{3,5,6}:{(44,1),(89,1),(99,1),(191,1),(295,1),(376,1)}
        70:{1,3,4,6}:{(45,1),(46,1),(53,1),(91,1),(99,1),(101,1),(105,1),(182,1),(186,1),(191,1),(285,1)}
        71:{2,5,6}:{(45,1),(92,1),(101,1),(102,1),(390,1),(454,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(103,1),(104,1),(115,1),(201,1),(453,1)}
        73:{2,4,6}:{(46,1),(47,1),(55,1),(94,1),(105,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(50,1),(56,1),(95,1),(102,1),(105,1),(106,1),(109,1),(186,1),(191,1)}
        75:{2,6}:{(48,1),(49,1)}
        76:{2,3,5,7}:{(49,1),(52,1),(58,1),(104,1),(107,1),(108,1),(119,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(97,1),(109,1),(193,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(108,1),(110,1),(178,1),(207,1)}
        80:{2,4,5}:{(53,1),(101,1),(113,1),(114,1),(202,1),(306,1),(390,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(103,1),(115,1),(116,1),(189,1),(200,1),(204,1),(289,1),(299,1),(389,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(105,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(191,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(108,1),(117,1),(120,1),(121,1),(275,1),(311,1),(372,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(125,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(69,1),(125,1),(224,1)}
        90:{2,3,6,7}:{(61,1),(63,1),(124,1),(126,1),(127,1),(312,1)}
        91:{1,3,4,7}:{(62,1),(64,1),(70,1),(125,1),(128,1),(131,1),(217,1),(220,1),(224,1),(320,1)}
        92:{2,5,7}:{(62,1),(63,1),(71,1),(128,1),(129,1)}
        93:{1,6,7}:{(63,1),(129,1),(484,1)}
        94:{2,4,7}:{(64,1),(65,1),(73,1),(131,1)}
        95:{1,3,5,7}:{(65,1),(66,1),(67,1),(74,1),(129,1),(131,1),(132,1),(134,1),(220,1),(224,1)}
        96:{2,6,7}:{(66,1),(75,1),(132,1)}
        97:{2,5,7}:{(67,1),(68,1),(77,1),(134,1)}
        98:{3,6,7}:{(68,1),(78,1),(134,1),(224,1)}
        99:{3,4,6}:{(69,1),(125,1),(136,1),(137,1),(149,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(126,1),(137,1),(138,1),(140,1),(212,1),(229,1),(312,1)}
       101:{2,4,6}:{(70,1),(71,1),(80,1),(128,1),(140,1),(141,1),(237,1)}
       102:{1,5,6}:{(71,1),(129,1),(141,1),(430,1),(484,1)}
       103:{1,2,6}:{(72,1),(75,1),(143,1),(251,1),(484,1)}
       104:{1,3,5,7}:{(72,1),(76,1),(82,1),(139,1),(143,1),(144,1),(157,1),(240,1)}
       105:{1,4,6}:{(73,1),(74,1),(83,1),(131,1),(145,1),(149,1)}
       106:{2,5,6}:{(74,1),(75,1),(84,1),(132,1),(145,1),(237,1)}
       107:{2,3,6}:{(75,1),(76,1),(78,1),(143,1),(147,1)}
       108:{2,4,7}:{(76,1),(79,1),(144,1),(147,1),(161,1)}
       109:{3,5,6}:{(77,1),(78,1),(134,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(147,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(148,1),(150,1),(151,1),(227,1),(247,1),(258,1),(328,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(140,1),(152,1),(155,1),(160,1),(333,1)}
       114:{1,4,5}:{(80,1),(141,1),(155,1),(354,1),(430,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(240,1),(250,1),(430,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(144,1),(154,1),(158,1),(159,1),(231,1),(357,1),(415,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(145,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(147,1),(158,1),(161,1),(162,1),(163,1),(242,1),(259,1),(343,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(148,1),(159,1),(162,1),(163,1),(328,1),(416,1)}
       122:{4,5,6}:{(87,1),(164,1),(278,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(168,1),(261,1)}
       125:{3,4,7}:{(89,1),(99,1),(168,1),(178,1)}
       126:{2,3,5,7}:{(89,1),(90,1),(92,1),(100,1),(166,1),(168,1),(169,1),(171,1)}
       127:{1,3,6,7}:{(90,1),(93,1),(167,1),(169,1),(170,1),(266,1),(359,1)}
       128:{2,4,7}:{(91,1),(92,1),(101,1),(171,1),(172,1),(271,1)}
       129:{1,5,7}:{(92,1),(93,1),(102,1),(172,1)}
       130:{1,2,6,7}:{(93,1),(96,1),(103,1),(170,1),(173,1),(174,1),(304,1),(439,1),(454,1),(508,1),(537,1)}
       131:{1,4,7}:{(94,1),(95,1),(105,1),(175,1),(178,1)}
       132:{2,5,7}:{(95,1),(96,1),(106,1),(175,1),(271,1)}
       133:{2,3,6,7}:{(96,1),(98,1),(107,1),(174,1),(176,1),(177,1),(376,1),(454,1),(496,1),(537,1),(549,1)}
       134:{3,5,7}:{(97,1),(98,1),(109,1),(178,1)}
       135:{3,4,6,7}:{(98,1),(110,1),(177,1),(178,1),(179,1),(275,1),(278,1),(376,1),(530,1),(549,1),(552,1)}
       136:{3,4,5}:{(99,1),(180,1),(195,1),(295,1),(509,1)}
       137:{2,4,6}:{(99,1),(100,1),(168,1),(180,1),(182,1)}
       138:{1,3,5,6}:{(100,1),(102,1),(169,1),(182,1),(183,1),(186,1),(262,1),(280,1),(285,1),(359,1),(361,1)}
       139:{2,3,5,7}:{(104,1),(112,1),(184,1),(185,1),(199,1),(201,1),(283,1),(287,1)}
       140:{2,3,6}:{(101,1),(113,1),(171,1),(186,1),(191,1),(285,1)}
       141:{1,4,6}:{(101,1),(102,1),(114,1),(172,1),(186,1)}
       142:{1,2,5,6}:{(102,1),(103,1),(106,1),(115,1),(173,1),(183,1),(187,1),(188,1),(289,1),(303,1),(378,1),(390,1),(439,1),(454,1),(465,1),(513,1)}
       143:{1,3,6}:{(103,1),(104,1),(107,1),(184,1),(189,1)}
       144:{1,4,7}:{(104,1),(108,1),(185,1),(189,1),(204,1)}
       145:{2,4,6}:{(105,1),(106,1),(118,1),(175,1),(191,1)}
       146:{2,3,5,6}:{(106,1),(107,1),(109,1),(119,1),(176,1),(188,1),(191,1),(192,1),(193,1),(277,1),(290,1),(295,1),(376,1),(390,1),(454,1),(456,1),(496,1),(513,1),(531,1),(538,1),(547,1)}
       147:{2,4,6}:{(107,1),(108,1),(110,1),(189,1),(193,1)}
       148:{2,4,5,7}:{(108,1),(111,1),(121,1),(190,1),(193,1),(194,1),(208,1),(297,1),(311,1)}
       149:{4,6}:{(109,1),(178,1),(195,1)}
       150:{3,5}:{(110,1),(193,1),(195,1)}
       151:{3,4,6}:{(111,1),(194,1),(196,1),(278,1),(376,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(380,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(186,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(187,1),(202,1),(203,1),(204,1),(281,1),(292,1),(299,1),(302,1),(306,1),(378,1),(390,1),(399,1),(457,1),(467,1),(510,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(189,1),(200,1),(204,1),(205,1),(206,1),(282,1),(301,1),(308,1),(389,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(190,1),(201,1),(205,1),(206,1),(283,1),(453,1)}
       160:{3,5}:{(118,1),(191,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(193,1),(205,1),(208,1),(295,1),(390,1)}
       163:{2,3,6}:{(121,1),(194,1),(206,1),(376,1),(454,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(136,1),(211,1),(213,1),(227,1),(328,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(127,1),(214,1),(215,1),(217,1),(313,1)}
       168:{2,4,7}:{(125,1),(126,1),(137,1),(217,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(129,1),(138,1),(214,1),(217,1),(218,1),(220,1),(317,1),(320,1)}
       170:{2,6,7}:{(127,1),(218,1),(402,1)}
       171:{2,3,7}:{(128,1),(140,1),(220,1),(224,1),(320,1)}
       172:{1,4,7}:{(128,1),(129,1),(141,1),(220,1)}
       173:{1,2,5,7}:{(129,1),(130,1),(132,1),(142,1),(218,1),(221,1),(222,1),(323,1),(353,1),(416,1),(493,1),(529,1)}
       174:{1,3,6,7}:{(130,1),(133,1),(143,1),(219,1),(222,1),(223,1),(417,1),(471,1),(484,1)}
       175:{2,4,7}:{(131,1),(132,1),(145,1),(224,1)}
       176:{2,3,5,7}:{(132,1),(133,1),(134,1),(146,1),(222,1),(224,1),(225,1),(226,1),(324,1),(328,1),(416,1),(529,1),(545,1),(551,1)}
       177:{2,4,6,7}:{(133,1),(135,1),(147,1),(223,1),(225,1),(226,1),(329,1),(516,1)}
       178:{4,7}:{(134,1),(149,1)}
       179:{3,5,7}:{(135,1),(150,1),(226,1),(227,1),(228,1),(540,1)}
       180:{2,4,5}:{(136,1),(137,1),(229,1),(230,1),(486,1)}
       181:{2,3,4,6}:{(137,1),(140,1),(152,1),(216,1),(229,1),(232,1),(242,1),(312,1),(343,1),(425,1),(486,1),(516,1)}
       182:{1,4,6}:{(137,1),(138,1),(217,1),(230,1),(233,1),(404,1)}
       183:{2,5,6}:{(138,1),(218,1),(233,1),(237,1),(332,1),(402,1)}
       184:{2,3,6}:{(139,1),(143,1),(235,1),(251,1),(335,1)}
       185:{2,4,7}:{(139,1),(144,1),(231,1),(235,1),(249,1)}
       186:{1,3,6}:{(140,1),(141,1),(155,1),(220,1),(237,1)}
       187:{1,2,4,6}:{(141,1),(142,1),(145,1),(156,1),(221,1),(233,1),(237,1),(238,1),(239,1),(343,1),(352,1),(437,1),(494,1),(527,1)}
       188:{1,3,5,6}:{(142,1),(143,1),(146,1),(157,1),(222,1),(234,1),(238,1),(239,1),(240,1),(327,1),(342,1),(344,1),(417,1),(420,1),(430,1),(471,1),(484,1),(517,1)}
       189:{1,4,6}:{(143,1),(144,1),(147,1),(235,1),(240,1)}
       190:{1,4,5,7}:{(144,1),(148,1),(159,1),(236,1),(240,1),(241,1),(255,1),(346,1),(357,1)}
       191:{3,6}:{(145,1),(160,1),(224,1)}
       192:{2,4,6}:{(146,1),(149,1),(161,1),(225,1),(239,1),(242,1),(243,1),(486,1),(550,1)}
       193:{2,5}:{(147,1),(150,1),(240,1)}
       194:{2,4,6}:{(148,1),(151,1),(163,1),(241,1),(244,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(244,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(245,1),(247,1),(331,1),(358,1),(419,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(237,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(238,1),(253,1),(254,1),(333,1),(349,1),(351,1),(526,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(240,1),(250,1),(255,1),(334,1),(351,1),(430,1)}
       206:{1,3,6}:{(159,1),(163,1),(241,1),(251,1),(335,1),(484,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(244,1),(256,1),(259,1),(260,1),(347,1),(431,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(245,1),(257,1),(260,1),(419,1),(485,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(278,1),(376,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(170,1),(265,1),(266,1),(268,1),(360,1),(364,1)}
       216:{2,3,4,7}:{(168,1),(171,1),(181,1),(263,1),(267,1),(275,1),(372,1),(448,1),(501,1)}
       217:{1,4,7}:{(168,1),(169,1),(182,1),(268,1),(364,1)}
       218:{2,5,7}:{(169,1),(170,1),(183,1),(268,1),(271,1)}
       219:{2,3,6,7}:{(170,1),(174,1),(184,1),(266,1),(269,1),(270,1),(304,1),(383,1),(440,1),(451,1),(454,1)}
       220:{1,3,7}:{(171,1),(172,1),(186,1),(271,1)}
       221:{1,2,4,7}:{(172,1),(173,1),(175,1),(187,1),(268,1),(271,1),(272,1),(273,1),(372,1),(398,1),(470,1),(515,1),(539,1)}
       222:{1,3,5,7}:{(173,1),(174,1),(176,1),(188,1),(269,1),(272,1),(273,1),(274,1),(371,1),(453,1)}
       223:{1,4,6,7}:{(174,1),(177,1),(189,1),(270,1),(273,1),(274,1),(374,1),(497,1)}
       224:{3,7}:{(175,1),(191,1)}
       225:{2,4,7}:{(176,1),(178,1),(192,1),(273,1),(275,1),(552,1)}
       226:{2,5,7}:{(177,1),(179,1),(193,1),(274,1),(277,1),(531,1)}
       227:{4,5,7}:{(178,1),(179,1),(195,1),(278,1),(546,1),(552,1)}
       228:{3,5,6}:{(179,1),(277,1),(278,1),(376,1)}
       229:{2,3,5}:{(180,1),(181,1),(280,1),(295,1),(390,1),(531,1)}
       230:{1,4,5}:{(180,1),(182,1),(280,1),(281,1),(442,1),(457,1)}
       231:{3,4,7}:{(185,1),(282,1),(283,1),(301,1),(460,1)}
       232:{1,3,4,6}:{(181,1),(182,1),(186,1),(198,1),(267,1),(280,1),(284,1),(285,1),(359,1),(380,1),(384,1),(389,1),(441,1),(457,1),(497,1)}
       233:{2,4,6}:{(182,1),(183,1),(268,1),(281,1),(285,1)}
       234:{2,3,5,6}:{(183,1),(184,1),(188,1),(199,1),(269,1),(285,1),(286,1),(287,1),(290,1),(303,1),(361,1),(370,1),(379,1),(382,1),(386,1),(390,1),(397,1),(440,1),(451,1),(454,1),(498,1)}
       235:{2,4,6}:{(184,1),(185,1),(189,1),(282,1),(287,1)}
       236:{2,4,5,7}:{(185,1),(190,1),(201,1),(283,1),(287,1),(288,1),(302,1),(381,1),(388,1),(398,1),(460,1)}
       237:{2,6}:{(186,1),(202,1),(271,1)}
       238:{1,3,6}:{(187,1),(191,1),(203,1),(272,1),(285,1),(290,1),(397,1),(538,1)}
       239:{1,4,6}:{(188,1),(192,1),(204,1),(273,1),(286,1),(292,1),(457,1)}
       240:{1,5}:{(189,1),(193,1),(287,1)}
       241:{1,4,6}:{(190,1),(194,1),(206,1),(288,1),(293,1)}
       242:{3,4,6}:{(191,1),(192,1),(207,1),(275,1),(295,1),(376,1),(509,1),(538,1)}
       243:{2,4,5}:{(192,1),(193,1),(195,1),(292,1),(295,1),(390,1),(531,1),(546,1)}
       244:{2,5,6}:{(193,1),(194,1),(196,1),(293,1),(297,1)}
       245:{2,4,6,7}:{(194,1),(197,1),(210,1),(294,1),(297,1),(311,1)}
       246:{4,5,6}:{(195,1),(196,1),(278,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(297,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(289,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(290,1),(300,1),(305,1),(306,1),(390,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(380,1),(457,1),(509,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(381,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(293,1),(303,1),(308,1),(309,1),(382,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(294,1),(304,1),(309,1),(383,1),(508,1)}
       258:{3,4,5}:{(207,1),(208,1),(295,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(297,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(229,1),(312,1),(315,1),(328,1),(416,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(230,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(320,1),(403,1)}
       267:{1,3,4,7}:{(216,1),(217,1),(220,1),(232,1),(315,1),(319,1),(320,1),(407,1),(410,1),(415,1),(476,1)}
       268:{2,4,7}:{(217,1),(218,1),(233,1),(320,1)}
       269:{2,3,5,7}:{(218,1),(219,1),(222,1),(234,1),(317,1),(320,1),(321,1),(322,1),(324,1),(353,1),(412,1),(416,1),(424,1),(436,1)}
       270:{2,4,6,7}:{(219,1),(223,1),(235,1),(318,1),(321,1),(322,1),(413,1),(472,1)}
       271:{2,7}:{(220,1),(237,1)}
       272:{1,3,7}:{(221,1),(224,1),(238,1),(320,1),(324,1),(436,1),(545,1)}
       273:{1,4,7}:{(222,1),(225,1),(239,1),(321,1)}
       274:{1,5,7}:{(223,1),(226,1),(240,1),(322,1),(327,1),(517,1)}
       275:{3,4,7}:{(224,1),(225,1),(242,1),(328,1),(545,1)}
       276:{2,4,5,7}:{(225,1),(226,1),(227,1),(243,1),(326,1),(328,1),(329,1),(416,1)}
       277:{2,5,6}:{(226,1),(228,1),(327,1),(329,1)}
       278:{4,6}:{(227,1),(228,1)}
       279:{3,5,6,7}:{(228,1),(247,1),(330,1),(331,1),(419,1),(551,1)}
       280:{1,3,5}:{(229,1),(230,1),(232,1),(332,1),(333,1),(430,1),(473,1),(517,1)}
       281:{2,4,5}:{(230,1),(233,1),(332,1),(333,1),(421,1)}
       282:{3,4,6}:{(231,1),(235,1),(334,1),(335,1),(423,1)}
       283:{3,5,7}:{(231,1),(236,1),(334,1),(335,1),(351,1),(436,1)}
       284:{2,4,6}:{(232,1),(237,1),(248,1),(319,1),(332,1),(337,1),(402,1),(421,1)}
       285:{3,6}:{(233,1),(320,1),(333,1)}
       286:{2,4,6}:{(234,1),(239,1),(249,1),(321,1),(338,1),(339,1),(404,1),(421,1),(423,1)}
       287:{2,5}:{(235,1),(240,1),(334,1)}
       288:{2,4,6}:{(236,1),(241,1),(251,1),(335,1),(340,1),(423,1)}
       289:{1,2,6}:{(237,1),(252,1),(323,1),(342,1),(494,1)}
       290:{2,3,6}:{(237,1),(238,1),(253,1),(324,1),(342,1),(343,1),(494,1)}
       291:{1,3,4,6}:{(238,1),(239,1),(242,1),(254,1),(325,1),(338,1),(343,1),(344,1),(417,1)}
       292:{1,4,5}:{(239,1),(240,1),(243,1),(339,1),(344,1),(430,1),(517,1)}
       293:{1,5,6}:{(240,1),(241,1),(244,1),(340,1),(346,1)}
       294:{1,4,6,7}:{(241,1),(245,1),(257,1),(341,1),(346,1),(357,1)}
       295:{3,5}:{(242,1),(243,1)}
       296:{2,4,5,6}:{(243,1),(244,1),(246,1),(259,1),(329,1),(345,1),(347,1),(348,1),(431,1),(527,1),(541,1),(550,1)}
       297:{2,5,7}:{(244,1),(245,1),(247,1),(346,1)}
       298:{4,5,7}:{(246,1),(247,1),(331,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(342,1),(349,1),(354,1),(430,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(344,1),(351,1),(355,1),(356,1),(422,1),(434,1),(487,1),(526,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(423,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(346,1),(353,1),(357,1),(424,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(347,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(376,1),(454,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(280,1),(359,1),(362,1),(363,1),(453,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(281,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(270,1),(282,1),(364,1),(365,1),(368,1),(383,1),(441,1),(446,1),(451,1),(460,1)}
       319:{2,4,7}:{(267,1),(271,1),(284,1),(362,1),(367,1)}
       320:{3,7}:{(268,1),(285,1)}
       321:{2,4,7}:{(269,1),(273,1),(286,1),(364,1),(368,1),(460,1)}
       322:{2,5,7}:{(270,1),(274,1),(287,1),(365,1),(370,1),(498,1)}
       323:{1,2,7}:{(271,1),(289,1),(371,1),(515,1)}
       324:{2,3,7}:{(271,1),(272,1),(290,1),(371,1),(372,1),(515,1)}
       325:{1,3,4,7}:{(272,1),(273,1),(275,1),(291,1),(368,1),(372,1),(373,1)}
       326:{1,4,5,7}:{(273,1),(274,1),(276,1),(292,1),(369,1),(373,1),(374,1),(453,1)}
       327:{1,5,6}:{(274,1),(277,1),(370,1),(374,1)}
       328:{3,5,7}:{(275,1),(276,1),(295,1),(376,1)}
       329:{2,4,6}:{(276,1),(277,1),(278,1),(374,1),(376,1),(454,1)}
       330:{2,5,6,7}:{(277,1),(279,1),(297,1),(375,1),(377,1),(548,1)}
       331:{4,6,7}:{(278,1),(279,1),(298,1),(552,1)}
       332:{2,5}:{(280,1),(284,1)}
       333:{3,5}:{(281,1),(285,1),(380,1)}
       334:{3,5}:{(282,1),(287,1),(381,1)}
       335:{3,6}:{(283,1),(288,1)}
       336:{1,2,4,6}:{(284,1),(289,1),(299,1),(366,1),(378,1),(384,1),(389,1),(439,1),(457,1),(461,1),(497,1)}
       337:{2,3,6}:{(284,1),(285,1),(300,1),(367,1),(379,1),(384,1)}
       338:{3,4,6}:{(285,1),(286,1),(301,1),(368,1),(380,1),(386,1),(397,1),(451,1)}
       339:{2,4,5}:{(286,1),(287,1),(292,1),(381,1),(386,1),(390,1),(442,1),(498,1)}
       340:{2,5,6}:{(287,1),(288,1),(293,1),(382,1),(388,1)}
       341:{2,4,6,7}:{(288,1),(294,1),(304,1),(383,1),(388,1),(398,1),(460,1)}
       342:{1,3,6}:{(289,1),(290,1),(305,1),(371,1),(389,1)}
       343:{2,4,6}:{(290,1),(291,1),(306,1),(372,1),(389,1),(390,1),(454,1)}
       344:{1,3,5}:{(291,1),(292,1),(295,1),(386,1),(390,1)}
       345:{1,4,5,6}:{(292,1),(293,1),(296,1),(308,1),(374,1),(387,1),(391,1),(392,1),(465,1),(511,1),(532,1)}
       346:{1,5,7}:{(293,1),(294,1),(297,1),(388,1)}
       347:{3,5,6}:{(295,1),(296,1),(310,1),(376,1),(393,1),(538,1)}
       348:{2,4,5,7}:{(296,1),(297,1),(298,1),(311,1),(377,1),(392,1),(393,1),(466,1),(539,1),(548,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(509,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(390,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(391,1),(397,1),(400,1),(401,1),(459,1),(468,1),(511,1),(538,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(460,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(484,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(332,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(333,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(322,1),(334,1),(408,1),(409,1),(473,1)}
       366:{1,2,4,7}:{(319,1),(323,1),(336,1),(405,1),(410,1),(415,1),(476,1),(480,1)}
       367:{2,3,7}:{(319,1),(320,1),(337,1),(410,1)}
       368:{3,4,7}:{(320,1),(321,1),(338,1),(412,1),(436,1)}
       369:{2,4,5,7}:{(321,1),(322,1),(326,1),(339,1),(408,1),(412,1),(413,1),(416,1)}
       370:{2,5,6}:{(322,1),(327,1),(409,1),(413,1)}
       371:{1,3,7}:{(323,1),(324,1),(342,1),(415,1)}
       372:{2,4,7}:{(324,1),(325,1),(343,1),(415,1),(416,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(344,1),(412,1),(416,1),(417,1)}
       374:{1,4,6}:{(326,1),(327,1),(329,1),(413,1),(417,1),(484,1)}
       375:{1,5,6,7}:{(327,1),(330,1),(346,1),(414,1),(418,1),(542,1)}
       376:{3,6}:{(328,1),(329,1)}
       377:{2,4,6,7}:{(329,1),(330,1),(331,1),(348,1),(418,1),(419,1),(485,1)}
       378:{1,2,5}:{(332,1),(336,1),(420,1),(430,1),(490,1),(517,1)}
       379:{2,3,5}:{(332,1),(333,1),(337,1),(420,1),(421,1)}
       380:{3,4}:{(333,1),(421,1)}
       381:{4,5}:{(334,1),(423,1)}
       382:{3,5,6}:{(334,1),(335,1),(340,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(341,1),(424,1),(436,1)}
       384:{1,3,6}:{(336,1),(337,1),(349,1),(410,1),(420,1),(425,1)}
       385:{2,3,4,6}:{(337,1),(338,1),(343,1),(350,1),(411,1),(421,1),(426,1),(427,1),(435,1),(472,1),(482,1),(488,1)}
       386:{3,5}:{(338,1),(339,1)}
       387:{2,4,5,6}:{(339,1),(340,1),(345,1),(352,1),(413,1),(423,1),(428,1),(429,1),(431,1),(474,1),(488,1),(518,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(424,1)}
       389:{1,4,6}:{(342,1),(343,1),(354,1),(415,1),(430,1),(484,1)}
       390:{2,5}:{(343,1),(344,1),(430,1)}
       391:{1,3,5,6}:{(344,1),(345,1),(347,1),(356,1),(417,1),(428,1),(431,1),(432,1)}
       392:{1,4,5,7}:{(345,1),(346,1),(348,1),(357,1),(418,1),(429,1),(432,1),(493,1),(528,1),(542,1)}
       393:{3,5,7}:{(347,1),(348,1),(358,1),(419,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(526,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(430,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(431,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(432,1),(436,1),(438,1),(489,1),(495,1),(528,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(378,1),(439,1),(443,1),(453,1),(505,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(379,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(380,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(381,1),(442,1),(446,1),(460,1)}
       409:{3,5,6}:{(365,1),(370,1),(446,1),(451,1)}
       410:{1,3,7}:{(366,1),(367,1),(384,1),(448,1)}
       411:{2,3,4,7}:{(367,1),(368,1),(372,1),(385,1),(444,1),(449,1),(450,1),(469,1),(512,1)}
       412:{3,5,7}:{(368,1),(369,1),(386,1),(451,1)}
       413:{2,4,6}:{(369,1),(370,1),(374,1),(446,1),(451,1),(454,1)}
       414:{2,5,6,7}:{(370,1),(375,1),(388,1),(447,1),(452,1),(533,1)}
       415:{1,4,7}:{(371,1),(372,1),(389,1),(453,1)}
       416:{2,5,7}:{(372,1),(373,1),(390,1),(453,1),(454,1)}
       417:{1,3,6}:{(373,1),(374,1),(376,1),(451,1),(454,1)}
       418:{1,4,6,7}:{(374,1),(375,1),(377,1),(392,1),(452,1),(455,1),(508,1)}
       419:{3,6,7}:{(376,1),(377,1),(393,1)}
       420:{1,3,5}:{(378,1),(379,1),(384,1),(456,1),(457,1)}
       421:{2,4}:{(379,1),(380,1),(457,1)}
       422:{3,4,5}:{(380,1),(381,1),(386,1),(458,1),(459,1)}
       423:{4,6}:{(381,1),(382,1),(460,1)}
       424:{3,5,7}:{(382,1),(383,1),(388,1),(460,1)}
       425:{2,3,6}:{(384,1),(394,1),(448,1),(456,1),(461,1),(538,1)}
       426:{1,3,4,6}:{(384,1),(385,1),(389,1),(395,1),(449,1),(457,1),(461,1),(462,1),(468,1),(497,1),(506,1),(509,1),(511,1),(530,1),(538,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(458,1),(462,1),(498,1)}
       428:{3,5,6}:{(386,1),(387,1),(397,1),(451,1),(459,1),(464,1)}
       429:{2,4,5,7}:{(387,1),(388,1),(392,1),(398,1),(452,1),(460,1),(464,1),(466,1),(500,1),(512,1),(533,1)}
       430:{1,5}:{(389,1),(390,1)}
       431:{2,5,6}:{(390,1),(391,1),(400,1),(454,1),(465,1),(466,1)}
       432:{1,3,5,7}:{(391,1),(392,1),(393,1),(401,1),(455,1),(464,1),(466,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(538,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(484,1),(524,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(420,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(421,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(422,1),(473,1),(477,1),(478,1),(489,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(424,1),(479,1),(483,1),(519,1)}
       448:{2,3,7}:{(410,1),(425,1),(480,1),(545,1)}
       449:{1,3,4,7}:{(410,1),(411,1),(415,1),(426,1),(476,1),(480,1),(481,1),(495,1),(520,1),(528,1),(545,1)}
       450:{2,3,5,7}:{(411,1),(412,1),(416,1),(427,1),(477,1),(481,1),(482,1)}
       451:{3,6}:{(412,1),(413,1)}
       452:{2,4,6,7}:{(413,1),(414,1),(418,1),(429,1),(479,1),(483,1),(485,1)}
       453:{1,5,7}:{(415,1),(416,1),(430,1),(484,1)}
       454:{2,6}:{(416,1),(417,1),(484,1)}
       455:{1,3,6,7}:{(417,1),(418,1),(419,1),(432,1),(483,1),(485,1)}
       456:{2,3,5}:{(420,1),(425,1),(486,1),(490,1),(526,1)}
       457:{1,4}:{(420,1),(421,1),(486,1)}
       458:{2,4,5}:{(421,1),(422,1),(427,1),(487,1),(488,1)}
       459:{3,4,6}:{(422,1),(423,1),(428,1),(488,1),(489,1)}
       460:{4,7}:{(423,1),(424,1)}
       461:{2,4,6}:{(425,1),(426,1),(433,1),(480,1),(486,1),(490,1),(494,1),(524,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(487,1),(490,1),(517,1),(526,1),(540,1)}
       463:{2,3,5,6}:{(427,1),(428,1),(431,1),(435,1),(482,1),(488,1),(491,1),(492,1),(518,1)}
       464:{3,5,7}:{(428,1),(429,1),(436,1),(483,1),(489,1)}
       465:{1,5,6}:{(430,1),(431,1),(437,1),(484,1),(493,1)}
       466:{2,5,7}:{(431,1),(432,1),(438,1),(485,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(456,1),(496,1),(501,1),(505,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(457,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(458,1),(498,1),(502,1),(503,1),(512,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(451,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(460,1),(500,1)}
       480:{2,4,7}:{(448,1),(449,1),(461,1),(505,1),(515,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(462,1),(502,1),(505,1),(506,1),(534,1)}
       482:{2,3,6}:{(450,1),(451,1),(454,1),(503,1),(506,1)}
       483:{3,6,7}:{(451,1),(452,1),(464,1)}
       484:{1,6}:{(453,1),(454,1)}
       485:{2,6,7}:{(454,1),(455,1),(466,1),(508,1)}
       486:{2,4}:{(456,1),(457,1),(509,1)}
       487:{1,4,5}:{(457,1),(458,1),(462,1),(510,1),(511,1),(546,1)}
       488:{2,4,6}:{(458,1),(459,1),(463,1),(511,1),(512,1)}
       489:{3,4,7}:{(459,1),(460,1),(464,1),(512,1)}
       490:{2,5}:{(461,1),(462,1)}
       491:{1,3,5,6}:{(462,1),(463,1),(465,1),(468,1),(506,1),(511,1),(513,1),(514,1),(532,1),(538,1),(547,1)}
       492:{2,3,5,7}:{(463,1),(464,1),(466,1),(469,1),(507,1),(512,1),(514,1),(533,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(508,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(524,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(486,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(487,1),(517,1),(521,1),(522,1),(528,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(482,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(489,1),(519,1),(523,1)}
       505:{2,5,7}:{(480,1),(481,1),(490,1),(524,1)}
       506:{1,3,6}:{(481,1),(482,1),(484,1),(522,1),(524,1),(543,1)}
       507:{2,3,6,7}:{(482,1),(483,1),(485,1),(492,1),(523,1),(525,1)}
       508:{1,6,7}:{(484,1),(485,1),(493,1)}
       509:{3,4}:{(486,1),(526,1)}
       510:{2,4,5}:{(486,1),(487,1),(490,1),(526,1),(527,1)}
       511:{1,4,6}:{(487,1),(488,1),(491,1),(527,1),(528,1),(550,1)}
       512:{2,4,7}:{(488,1),(489,1),(492,1),(528,1)}
       513:{2,5,6}:{(490,1),(491,1),(494,1),(524,1),(527,1),(529,1)}
       514:{1,3,5,7}:{(491,1),(492,1),(493,1),(495,1),(525,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(509,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(505,1),(510,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(506,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(507,1),(512,1),(533,1),(536,1)}
       524:{2,6}:{(505,1),(506,1)}
       525:{1,3,6,7}:{(506,1),(507,1),(508,1),(514,1),(536,1),(537,1),(549,1)}
       526:{3,5}:{(509,1),(510,1),(538,1)}
       527:{2,4,6}:{(510,1),(511,1),(513,1),(538,1),(539,1)}
       528:{1,4,7}:{(511,1),(512,1),(514,1),(539,1),(552,1)}
       529:{2,5,7}:{(513,1),(514,1),(515,1),(537,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(526,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(524,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(525,1),(528,1),(542,1),(544,1)}
       537:{2,6,7}:{(524,1),(525,1),(529,1)}
       538:{3,6}:{(526,1),(527,1),(545,1)}
       539:{2,4,7}:{(527,1),(528,1),(529,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 854 :  0:{2,3,4}:{(2,1),(3,1),(20,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(54,1),(78,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
        3:{1,3,4}:{(0,1),(7,1),(9,1),(11,1),(24,1),(34,1),(51,1),(54,1)}
        4:{1,2,4}:{(9,1),(10,1),(11,1),(34,1)}
        5:{2,4,5}:{(1,1),(2,1),(13,1),(14,1),(46,1),(73,1)}
        6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1)}
        7:{1,3,5}:{(2,1),(3,1),(13,1),(17,1),(18,1),(39,1)}
        8:{2,3,6}:{(2,1),(14,1),(18,1),(19,1)}
        9:{2,4}:{(3,1),(17,1),(20,1)}
       10:{1,2,5}:{(4,1),(17,1),(21,1),(22,1)}
       11:{1,3}:{(4,1),(20,1)}
       12:{1,2,4}:{(9,1),(23,1),(24,1),(51,1)}
       13:{1,4,5}:{(5,1),(7,1),(25,1),(26,1),(34,1),(51,1),(63,1),(76,1)}
       14:{2,4,6}:{(5,1),(6,1),(8,1),(26,1),(27,1),(28,1)}
       15:{3,5,6}:{(6,1),(27,1),(29,1),(30,1),(78,1),(93,1)}
       16:{3,4,7}:{(6,1),(28,1),(30,1)}
       17:{2,5}:{(7,1),(9,1),(32,1)}
       18:{1,3,6}:{(7,1),(8,1),(26,1),(32,1),(33,1),(55,1)}
       19:{2,3,7}:{(8,1),(28,1),(33,1)}
       20:{2,3}:{(9,1),(11,1),(24,1)}
       21:{1,3,5}:{(10,1),(11,1),(31,1),(34,1),(35,1),(63,1)}
       22:{1,2,6}:{(10,1),(32,1),(35,1),(36,1)}
       23:{1,2,5}:{(12,1),(17,1),(37,1),(38,1)}
       24:{1,3}:{(12,1),(20,1)}
       25:{2,4,5}:{(13,1),(17,1),(39,1),(40,1),(46,1),(73,1),(86,1)}
       26:{1,4,6}:{(13,1),(14,1),(18,1),(40,1),(41,1),(42,1)}
       27:{2,5,6}:{(14,1),(15,1),(41,1),(43,1),(73,1),(90,1)}
       28:{2,4,7}:{(14,1),(16,1),(19,1),(42,1),(43,1)}
       29:{4,5,6}:{(15,1),(44,1),(86,1),(95,1)}
       30:{3,5,7}:{(15,1),(16,1),(43,1),(44,1),(45,1)}
       31:{2,3,5}:{(17,1),(20,1),(21,1),(37,1),(39,1),(46,1),(47,1),(73,1)}
       32:{2,6}:{(17,1),(18,1),(48,1)}
       33:{1,3,7}:{(18,1),(19,1),(42,1),(48,1),(69,1)}
       34:{1,4}:{(21,1),(46,1)}
       35:{1,3,6}:{(21,1),(22,1),(47,1),(49,1),(50,1)}
       36:{1,2,7}:{(22,1),(48,1),(50,1)}
       37:{1,3,5}:{(23,1),(24,1),(31,1),(51,1),(52,1),(76,1)}
       38:{1,2,6}:{(23,1),(32,1),(52,1),(53,1)}
       39:{3,5}:{(25,1),(54,1),(55,1)}
       40:{2,4,6}:{(25,1),(26,1),(32,1),(55,1),(56,1),(57,1),(80,1)}
       41:{1,5,6}:{(26,1),(27,1),(56,1),(58,1),(63,1),(76,1),(84,1),(91,1)}
       42:{1,4,7}:{(26,1),(28,1),(33,1),(57,1),(58,1)}
       43:{2,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1)}
       44:{4,5,7}:{(29,1),(30,1),(60,1)}
       45:{3,6,7}:{(30,1),(59,1),(60,1),(93,1)}
       46:{2,4}:{(31,1),(34,1),(51,1),(54,1)}
       47:{2,3,6}:{(31,1),(32,1),(35,1),(52,1),(55,1),(61,1),(62,1)}
       48:{2,7}:{(32,1),(33,1)}
       49:{1,4,6}:{(34,1),(35,1),(61,1),(63,1),(64,1),(84,1)}
       50:{1,3,7}:{(35,1),(36,1),(62,1),(64,1)}
       51:{1,4}:{(37,1),(46,1)}
       52:{1,3,6}:{(37,1),(38,1),(47,1),(65,1),(66,1)}
       53:{1,2,7}:{(38,1),(48,1),(66,1)}
       54:{3,4}:{(39,1),(46,1)}
       55:{3,6}:{(39,1),(40,1),(69,1)}
       56:{2,5,6}:{(40,1),(41,1),(68,1),(70,1),(73,1),(90,1)}
       57:{2,4,7}:{(40,1),(42,1),(48,1),(69,1),(70,1),(88,1)}
       58:{1,5,7}:{(41,1),(42,1),(43,1),(70,1),(71,1)}
       59:{2,6,7}:{(43,1),(45,1),(71,1),(90,1)}
       60:{4,6,7}:{(44,1),(45,1),(72,1),(95,1)}
       61:{2,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(73,1),(74,1),(90,1)}
       62:{2,3,7}:{(47,1),(48,1),(50,1),(66,1),(69,1),(74,1)}
       63:{1,5}:{(49,1),(73,1)}
       64:{1,4,7}:{(49,1),(50,1),(74,1),(75,1)}
       65:{1,4,6}:{(51,1),(52,1),(61,1),(76,1),(77,1),(91,1)}
       66:{1,3,7}:{(52,1),(53,1),(62,1),(77,1)}
       67:{3,4,6}:{(54,1),(55,1),(61,1),(78,1),(79,1),(80,1),(93,1)}
       68:{3,5,6}:{(55,1),(56,1),(78,1),(80,1),(81,1),(93,1),(97,1)}
       69:{3,7}:{(55,1),(57,1)}
       70:{2,5,7}:{(56,1),(57,1),(58,1),(81,1),(82,1)}
       71:{1,6,7}:{(58,1),(59,1),(82,1),(84,1),(91,1)}
       72:{5,6,7}:{(60,1),(97,1)}
       73:{2,5}:{(61,1),(63,1),(76,1),(78,1)}
       74:{2,4,7}:{(61,1),(62,1),(64,1),(77,1),(79,1),(83,1)}
       75:{1,5,7}:{(63,1),(64,1),(83,1),(84,1)}
       76:{1,5}:{(65,1),(73,1)}
       77:{1,4,7}:{(65,1),(66,1),(74,1),(85,1)}
       78:{3,5}:{(67,1),(73,1),(86,1)}
       79:{3,4,7}:{(67,1),(69,1),(74,1),(87,1),(88,1)}
       80:{4,6}:{(68,1),(86,1),(88,1)}
       81:{3,5,7}:{(68,1),(69,1),(70,1),(88,1),(89,1),(96,1)}
       82:{2,6,7}:{(70,1),(71,1),(89,1),(90,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(87,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(80,1)}
       87:{3,5,7}:{(78,1),(79,1),(83,1),(92,1),(93,1)}
       88:{4,7}:{(80,1),(81,1)}
       89:{3,6,7}:{(81,1),(82,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(93,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(88,1),(95,1),(96,1)}
       93:{3,6}:{(87,1),(90,1),(95,1)}
       94:{4,6,7}:{(88,1),(89,1),(95,1),(96,1)}
       95:{4,6}:{(92,1),(93,1),(97,1)}
       96:{5,7}:{(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

 855 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 856 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(30,1),(31,1),(69,1),(72,1),(84,1),(86,1),(125,1),(132,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(17,1),(23,1),(53,1),(59,1),(61,1),(93,1),(102,1),(111,1),(114,1),(162,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(48,1),(92,1),(153,1),(161,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(132,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(120,1),(131,1),(187,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(72,1),(124,1)}
         7:{2,3,5,6,7}:{(5,1),(15,1),(16,1),(48,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(49,1),(53,1),(54,1),(93,1),(148,1),(162,1),(163,1),(164,1),(194,1),(206,1),(229,1),(241,1)}
         9:{2,3,6,7}:{(3,1),(17,1),(20,1),(61,1),(104,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(161,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(53,1),(101,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(48,1),(97,1),(153,1)}
        15:{1,3,5,6,7}:{(7,1),(11,1),(27,1),(28,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(13,1),(28,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(9,1),(31,1),(33,1),(77,1),(134,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(10,1),(33,1),(34,1),(70,1),(120,1),(173,1),(187,1),(223,1),(237,1)}
        19:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(38,1),(80,1),(83,1),(126,1),(132,1),(137,1),(177,1),(184,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(33,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(68,1),(76,1),(87,1),(117,1),(131,1),(139,1),(172,1),(190,1),(213,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(29,1),(41,1),(44,1),(88,1),(124,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,5,6,7}:{(15,1),(21,1),(45,1),(92,1),(148,1)}
        28:{1,4,6,7}:{(15,1),(16,1),(23,1),(45,1),(46,1)}
        29:{2,4,5,7}:{(16,1),(25,1),(46,1),(48,1),(92,1),(194,1)}
        30:{3,4,6,7}:{(16,1),(26,1),(48,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(104,1),(148,1),(151,1),(204,1)}
        32:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(53,1),(97,1),(99,1),(102,1),(151,1),(155,1),(162,1),(199,1),(206,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(20,1),(50,1),(52,1),(53,1)}
        34:{1,2,5,6}:{(18,1),(21,1),(52,1),(54,1),(94,1),(116,1),(161,1),(164,1),(171,1),(207,1),(208,1),(231,1)}
        35:{1,2,4,5,7}:{(18,1),(22,1),(53,1),(54,1),(55,1),(65,1),(95,1),(101,1),(103,1),(115,1),(160,1),(161,1),(163,1),(194,1),(200,1),(208,1),(210,1),(232,1),(234,1),(241,1)}
        36:{2,3,5,7}:{(19,1),(51,1),(56,1),(57,1),(109,1),(161,1),(165,1),(205,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(52,1),(58,1),(61,1),(104,1),(109,1),(161,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(53,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(46,1),(60,1),(63,1),(101,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(92,1),(103,1),(115,1),(146,1),(161,1),(166,1),(194,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(48,1),(153,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(39,1),(66,1),(67,1)}
        46:{1,4,5,7}:{(28,1),(29,1),(41,1),(66,1),(68,1),(120,1),(172,1)}
        47:{1,3,4,6,7}:{(28,1),(30,1),(42,1),(67,1),(68,1),(69,1),(117,1),(119,1),(172,1),(213,1)}
        48:{3,5,7}:{(29,1),(30,1),(44,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(70,1),(72,1),(122,1),(132,1),(182,1),(219,1)}
        50:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(123,1),(173,1),(213,1)}
        51:{1,3,5,7}:{(32,1),(36,1),(70,1),(73,1),(74,1),(123,1),(131,1),(187,1),(223,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(37,1),(71,1),(75,1),(77,1),(131,1),(134,1),(187,1),(224,1)}
        53:{1,4,7}:{(33,1),(38,1),(72,1),(75,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(39,1),(75,1),(77,1),(89,1),(122,1),(132,1),(145,1),(186,1),(193,1),(219,1),(238,1)}
        55:{1,3,5,7}:{(35,1),(40,1),(76,1),(77,1),(78,1),(123,1),(131,1),(189,1),(213,1),(224,1),(225,1),(239,1),(244,1)}
        56:{2,3,5,6}:{(36,1),(73,1),(80,1),(138,1),(177,1),(185,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(74,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(75,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(66,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(213,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(68,1),(85,1),(88,1),(131,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(120,1),(133,1),(172,1),(187,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(60,1),(90,1),(92,1),(146,1)}
        67:{3,6,7}:{(45,1),(61,1),(90,1)}
        68:{1,3,5,7}:{(46,1),(47,1),(48,1),(63,1),(90,1),(92,1)}
        69:{2,4,6,7}:{(47,1),(64,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,5,7}:{(49,1),(51,1),(94,1),(161,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(94,1),(96,1),(104,1),(151,1),(153,1),(161,1),(171,1),(211,1),(212,1)}
        72:{2,4,7}:{(50,1),(53,1),(96,1),(97,1)}
        73:{1,3,5,6}:{(51,1),(56,1),(94,1),(99,1),(151,1),(199,1),(207,1)}
        74:{1,4,5,7}:{(51,1),(53,1),(57,1),(95,1),(99,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(101,1),(234,1)}
        76:{1,3,4,7}:{(53,1),(55,1),(59,1),(97,1),(102,1),(103,1),(234,1),(235,1),(243,1)}
        77:{1,3,6}:{(54,1),(55,1),(61,1),(104,1),(151,1),(212,1),(242,1)}
        78:{2,3,5,7}:{(55,1),(103,1),(104,1),(105,1),(115,1),(161,1),(169,1),(200,1),(204,1),(211,1),(233,1)}
        79:{2,3,5,6,7}:{(56,1),(98,1),(106,1),(165,1),(196,1),(205,1)}
        80:{2,4,6}:{(56,1),(57,1),(99,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(101,1),(109,1),(161,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(103,1),(110,1),(111,1),(146,1),(204,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(90,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(92,1),(116,1),(161,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{3,5,7}:{(66,1),(67,1),(85,1),(117,1)}
        91:{2,3,6,7}:{(67,1),(69,1),(86,1),(118,1),(119,1),(213,1)}
        92:{2,5,7}:{(68,1),(69,1),(88,1),(120,1)}
        93:{1,4,6,7}:{(69,1),(89,1),(119,1),(120,1),(172,1)}
        94:{2,5,6}:{(70,1),(73,1),(122,1),(219,1)}
        95:{2,4,5,7}:{(70,1),(72,1),(74,1),(122,1),(123,1),(124,1)}
        96:{2,4,6}:{(71,1),(72,1),(75,1),(124,1),(125,1),(226,1)}
        97:{3,4,7}:{(72,1),(123,1),(125,1),(213,1)}
        98:{1,3,5,6,7}:{(73,1),(79,1),(121,1),(127,1),(175,1),(183,1),(216,1),(223,1)}
        99:{1,4,6}:{(73,1),(74,1),(80,1),(122,1)}
       100:{1,3,4,5,7}:{(74,1),(76,1),(81,1),(123,1),(129,1),(130,1),(131,1),(178,1),(179,1),(183,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       101:{1,4,5}:{(75,1),(82,1),(124,1),(131,1),(187,1)}
       102:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(125,1),(131,1),(132,1)}
       103:{2,4,7}:{(76,1),(78,1),(132,1),(133,1),(226,1),(240,1)}
       104:{2,3,6}:{(77,1),(78,1),(132,1),(134,1),(145,1),(219,1)}
       105:{1,3,5,7}:{(78,1),(133,1),(134,1),(135,1),(187,1),(189,1),(224,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(127,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(128,1),(136,1),(138,1),(185,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(132,1),(140,1),(141,1),(143,1),(222,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(133,1),(141,1),(142,1),(172,1),(189,1),(213,1)}
       112:{3,4,6}:{(85,1),(117,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(118,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(120,1),(187,1)}
       117:{3,4,7}:{(90,1),(112,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(113,1),(146,1),(147,1)}
       119:{1,3,6,7}:{(91,1),(93,1),(114,1),(147,1),(148,1)}
       120:{1,5,7}:{(92,1),(93,1),(116,1)}
       121:{2,5,6,7}:{(94,1),(98,1),(149,1),(205,1),(229,1)}
       122:{2,4,6}:{(94,1),(95,1),(99,1),(151,1)}
       123:{3,5,7}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5}:{(96,1),(101,1),(153,1),(161,1)}
       125:{3,4,6}:{(96,1),(97,1),(151,1),(153,1),(212,1),(235,1)}
       126:{2,3,4,7}:{(97,1),(103,1),(152,1),(154,1),(155,1),(169,1),(227,1),(243,1)}
       127:{1,4,6,7}:{(98,1),(99,1),(106,1),(149,1),(156,1)}
       128:{1,4,5,6}:{(99,1),(101,1),(107,1),(150,1),(156,1),(158,1),(207,1),(230,1)}
       129:{1,3,4,6}:{(99,1),(100,1),(108,1),(151,1),(158,1),(159,1),(197,1),(199,1),(230,1),(242,1)}
       130:{2,4,5,7}:{(100,1),(103,1),(152,1),(159,1),(160,1),(161,1),(200,1),(201,1),(205,1),(227,1),(232,1),(241,1)}
       131:{1,3,5}:{(101,1),(102,1),(109,1),(153,1),(161,1)}
       132:{2,4,6}:{(102,1),(103,1),(104,1),(161,1),(162,1)}
       133:{1,4,7}:{(103,1),(105,1),(162,1),(234,1)}
       134:{1,3,6}:{(104,1),(105,1),(162,1),(164,1)}
       135:{1,2,5,7}:{(105,1),(115,1),(163,1),(164,1),(200,1),(208,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(156,1),(165,1),(205,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(161,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(162,1),(167,1),(168,1),(170,1),(209,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(146,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(147,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,7}:{(117,1),(118,1),(143,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(144,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(119,1),(145,1),(173,1)}
       149:{2,4,6,7}:{(121,1),(122,1),(127,1),(174,1),(175,1)}
       150:{2,4,5,6}:{(122,1),(124,1),(128,1),(174,1),(176,1),(185,1),(217,1)}
       151:{3,6}:{(122,1),(123,1)}
       152:{2,3,5,7}:{(123,1),(126,1),(130,1),(177,1),(178,1),(180,1),(239,1),(244,1)}
       153:{3,5}:{(124,1),(125,1)}
       154:{2,3,4,6}:{(125,1),(126,1),(132,1),(177,1),(180,1),(181,1),(192,1),(217,1),(226,1)}
       155:{1,3,4,7}:{(126,1),(133,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(128,1),(136,1),(174,1),(183,1),(223,1),(236,1)}
       157:{1,3,4,6,7}:{(127,1),(129,1),(137,1),(175,1),(183,1),(184,1),(214,1),(216,1),(236,1),(244,1)}
       158:{1,3,5,6}:{(128,1),(129,1),(131,1),(138,1),(176,1),(183,1),(185,1)}
       159:{2,4,6}:{(129,1),(130,1),(177,1),(185,1),(186,1),(219,1)}
       160:{1,4,5,7}:{(130,1),(133,1),(178,1),(186,1),(187,1),(220,1),(223,1),(236,1)}
       161:{2,5}:{(131,1),(132,1),(187,1)}
       162:{1,4,6}:{(132,1),(133,1),(134,1),(187,1)}
       163:{1,2,4,7}:{(133,1),(135,1),(142,1),(182,1),(188,1),(189,1)}
       164:{1,2,6}:{(134,1),(135,1),(145,1),(219,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(187,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(189,1),(192,1),(213,1)}
       170:{1,4,6}:{(143,1),(144,1),(172,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(173,1),(191,1),(193,1)}
       172:{1,4,7}:{(146,1),(147,1),(170,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(171,1),(194,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(156,1),(195,1),(205,1),(227,1)}
       175:{3,6,7}:{(149,1),(151,1),(195,1)}
       176:{3,5,6}:{(150,1),(151,1),(153,1),(195,1),(197,1)}
       177:{2,3,6}:{(151,1),(152,1),(159,1),(199,1),(242,1)}
       178:{1,3,5,7}:{(152,1),(155,1),(160,1),(199,1),(200,1),(202,1)}
       179:{3,4,5}:{(153,1),(197,1),(201,1),(235,1)}
       180:{2,3,5}:{(153,1),(154,1),(161,1),(201,1),(202,1)}
       181:{1,3,4,6}:{(154,1),(155,1),(162,1),(199,1),(202,1),(203,1),(209,1),(230,1),(234,1),(242,1),(243,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(165,1),(195,1),(205,1)}
       184:{2,4,6,7}:{(157,1),(159,1),(196,1),(205,1),(206,1),(227,1),(229,1),(241,1)}
       185:{2,5,6}:{(158,1),(159,1),(161,1),(205,1),(207,1)}
       186:{1,4,6}:{(159,1),(160,1),(199,1),(207,1)}
       187:{1,5}:{(161,1),(162,1)}
       188:{1,2,4,6}:{(162,1),(163,1),(164,1),(168,1),(203,1),(208,1),(209,1),(234,1)}
       189:{1,3,7}:{(163,1),(169,1),(204,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(209,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(194,1),(210,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(193,1),(213,1)}
       195:{3,5,7}:{(174,1),(175,1),(176,1),(214,1)}
       196:{2,3,6,7}:{(175,1),(177,1),(184,1),(215,1),(216,1),(244,1)}
       197:{3,4,6}:{(176,1),(179,1),(214,1),(217,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(185,1),(215,1),(217,1),(218,1)}
       199:{1,3,6}:{(177,1),(178,1),(186,1),(219,1)}
       200:{2,5,7}:{(178,1),(182,1),(219,1),(221,1)}
       201:{2,4,5}:{(179,1),(180,1),(217,1),(220,1),(226,1)}
       202:{1,3,5}:{(180,1),(181,1),(187,1),(220,1),(221,1),(239,1)}
       203:{2,4,6}:{(181,1),(182,1),(219,1),(221,1),(222,1),(240,1)}
       204:{2,3,7}:{(182,1),(189,1),(222,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(185,1),(223,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(216,1),(223,1),(236,1)}
       207:{1,5,6}:{(185,1),(186,1),(187,1),(223,1)}
       208:{1,2,5}:{(187,1),(188,1),(191,1),(221,1),(224,1)}
       209:{1,3,6}:{(188,1),(189,1),(192,1),(222,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(224,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(213,1),(225,1)}
       213:{3,7}:{(194,1),(212,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,3,5,7}:{(195,1),(196,1),(198,1),(205,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(196,1),(199,1),(206,1),(228,1),(229,1)}
       217:{2,4,6}:{(197,1),(198,1),(201,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(199,1),(200,1)}
       220:{1,4,5}:{(201,1),(202,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(202,1),(203,1)}
       222:{2,3,6}:{(203,1),(204,1),(209,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(207,1)}
       224:{1,3,5}:{(208,1),(209,1),(211,1),(233,1),(234,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 857 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 858 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(15,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(23,1),(34,1)}
         4:{1,3,4}:{(1,1),(7,1),(9,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(36,1),(169,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(28,1)}
         7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(38,1),(45,1)}
         9:{2,3,4}:{(4,1),(14,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(45,1),(55,1),(160,1),(164,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(21,1),(22,1),(173,1)}
        13:{1,3,4,5}:{(7,1),(23,1),(24,1),(34,1),(73,1)}
        14:{2,3,5}:{(7,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1),(28,1)}
        16:{1,2,5,6}:{(8,1),(11,1),(27,1),(29,1),(36,1),(57,1),(169,1)}
        17:{1,2,4,7}:{(8,1),(28,1),(29,1),(58,1),(66,1)}
        18:{1,3,4}:{(9,1),(25,1),(30,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(33,1),(64,1),(75,1),(146,1),(152,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(12,1),(28,1),(33,1),(35,1),(66,1),(170,1)}
        22:{1,2,5,7}:{(11,1),(12,1),(35,1),(36,1)}
        23:{2,4,5}:{(13,1),(14,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(40,1),(45,1),(87,1)}
        25:{1,3,5}:{(14,1),(18,1),(37,1),(41,1),(42,1)}
        26:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(44,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(20,1),(43,1),(45,1),(46,1),(55,1),(100,1),(155,1),(160,1)}
        28:{1,3,7}:{(15,1),(17,1),(44,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(46,1),(47,1),(80,1),(173,1)}
        30:{1,2,4}:{(18,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1),(51,1),(85,1),(97,1),(128,1),(136,1)}
        32:{2,3,5}:{(19,1),(20,1),(50,1),(52,1)}
        33:{2,3,4,7}:{(19,1),(21,1),(44,1),(51,1),(53,1),(88,1),(161,1)}
        34:{1,4,5}:{(20,1),(45,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(54,1),(55,1)}
        36:{1,2,6}:{(22,1),(55,1)}
        37:{1,4,5}:{(23,1),(25,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(24,1),(57,1),(59,1),(60,1),(103,1)}
        40:{1,3,4,7}:{(24,1),(28,1),(58,1),(60,1),(66,1),(112,1)}
        41:{1,2,5}:{(25,1),(30,1),(61,1)}
        42:{1,3,6}:{(25,1),(26,1),(56,1),(61,1),(63,1)}
        43:{2,3,5,6}:{(26,1),(27,1),(32,1),(57,1),(62,1),(64,1),(65,1),(75,1),(103,1),(121,1),(141,1),(146,1)}
        44:{2,3,7}:{(26,1),(28,1),(58,1),(63,1)}
        45:{1,4,6}:{(27,1),(34,1),(64,1),(66,1)}
        46:{1,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(66,1),(67,1),(114,1),(166,1),(170,1)}
        47:{1,2,6,7}:{(29,1),(36,1),(67,1),(105,1)}
        48:{1,2,3}:{(30,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(61,1),(68,1),(69,1),(70,1),(115,1),(117,1)}
        50:{1,3,5}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(63,1),(70,1),(72,1),(110,1),(147,1)}
        52:{2,4,5}:{(32,1),(34,1),(64,1),(71,1),(73,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(75,1)}
        54:{1,4,5,7}:{(34,1),(35,1),(66,1),(74,1),(76,1),(114,1)}
        55:{1,3,6}:{(35,1),(36,1),(75,1),(76,1)}
        56:{1,4,6}:{(37,1),(38,1),(42,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(80,1)}
        58:{2,4,7}:{(38,1),(40,1),(44,1),(78,1),(80,1)}
        59:{1,4,5,6}:{(39,1),(45,1),(79,1),(81,1),(100,1),(155,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(80,1),(81,1),(82,1),(125,1)}
        61:{1,2,6}:{(41,1),(42,1),(84,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(50,1),(77,1),(83,1),(85,1),(86,1),(97,1),(128,1),(139,1)}
        63:{1,3,7}:{(42,1),(44,1),(78,1),(84,1)}
        64:{2,4,6}:{(43,1),(45,1),(52,1),(85,1),(87,1),(88,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(125,1),(135,1),(156,1),(161,1)}
        66:{1,4,7}:{(45,1),(46,1),(88,1)}
        67:{1,3,6,7}:{(46,1),(47,1),(55,1),(89,1),(90,1),(172,1)}
        68:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(128,1)}
        69:{1,2,5}:{(49,1),(50,1)}
        70:{1,2,4,7}:{(49,1),(51,1),(84,1),(92,1),(94,1)}
        71:{1,4,5}:{(50,1),(52,1),(85,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(97,1)}
        73:{3,4,5}:{(52,1),(87,1)}
        74:{2,4,5,7}:{(52,1),(53,1),(54,1),(88,1),(96,1),(98,1),(99,1),(135,1)}
        75:{2,3,6}:{(53,1),(55,1),(97,1),(99,1)}
        76:{1,4,6}:{(54,1),(55,1),(99,1),(100,1)}
        77:{1,5,6}:{(56,1),(57,1),(102,1)}
        78:{1,4,7}:{(56,1),(58,1),(63,1),(102,1)}
        79:{2,4,5,6}:{(57,1),(59,1),(64,1),(101,1),(103,1),(104,1),(121,1),(141,1),(154,1)}
        80:{2,5,7}:{(57,1),(58,1),(60,1),(102,1),(105,1)}
        81:{1,4,5,7}:{(59,1),(60,1),(66,1),(104,1),(106,1),(114,1),(166,1)}
        82:{1,3,6,7}:{(60,1),(105,1),(106,1),(144,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(69,1),(107,1),(108,1),(117,1),(141,1)}
        84:{1,2,7}:{(61,1),(63,1)}
        85:{1,4,6}:{(62,1),(64,1),(71,1),(110,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(65,1),(102,1),(108,1),(110,1),(111,1),(147,1),(150,1)}
        87:{3,4,6}:{(64,1),(73,1),(103,1),(112,1)}
        88:{2,4,7}:{(64,1),(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,6,7}:{(65,1),(67,1),(75,1),(105,1),(111,1),(113,1),(144,1),(167,1)}
        90:{1,4,6,7}:{(66,1),(67,1),(76,1),(113,1),(114,1)}
        91:{1,2,3,5}:{(68,1),(69,1),(115,1),(116,1)}
        92:{1,2,3,7}:{(68,1),(70,1),(147,1)}
        93:{1,2,4,5}:{(69,1),(71,1),(107,1),(115,1),(116,1),(118,1)}
        94:{1,2,5,7}:{(69,1),(70,1),(72,1),(117,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(109,1),(116,1),(118,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(110,1),(119,1),(150,1)}
        97:{1,3,6}:{(72,1),(75,1),(117,1),(119,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(112,1),(120,1),(151,1)}
        99:{2,4,6}:{(74,1),(75,1),(76,1),(119,1),(120,1),(121,1)}
       100:{1,5,6}:{(76,1),(114,1),(121,1)}
       101:{1,4,5,6}:{(77,1),(79,1),(85,1),(122,1),(123,1),(139,1)}
       102:{1,5,7}:{(77,1),(78,1),(80,1),(124,1)}
       103:{3,5,6}:{(79,1),(87,1),(125,1)}
       104:{2,4,5,7}:{(79,1),(80,1),(81,1),(88,1),(123,1),(125,1),(126,1),(135,1),(156,1),(163,1)}
       105:{2,6,7}:{(80,1),(82,1),(124,1)}
       106:{1,4,6,7}:{(81,1),(82,1),(126,1),(127,1),(172,1)}
       107:{1,2,4,6}:{(83,1),(85,1),(93,1),(128,1),(129,1),(131,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(129,1),(130,1),(156,1)}
       109:{1,3,4,6}:{(85,1),(87,1),(95,1),(122,1),(128,1),(131,1),(132,1)}
       110:{1,4,7}:{(85,1),(86,1),(88,1)}
       111:{1,3,6,7}:{(86,1),(89,1),(97,1),(124,1),(130,1),(133,1)}
       112:{3,4,7}:{(87,1),(88,1),(125,1)}
       113:{2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(133,1),(134,1),(135,1)}
       114:{1,5,7}:{(90,1),(100,1),(135,1)}
       115:{1,2,4}:{(91,1),(136,1)}
       116:{1,3,5}:{(93,1),(128,1),(136,1),(137,1)}
       117:{1,2,6}:{(94,1),(97,1)}
       118:{2,4,5}:{(95,1),(131,1),(137,1),(138,1)}
       119:{1,4,6}:{(96,1),(97,1),(99,1),(139,1)}
       120:{3,4,6}:{(98,1),(99,1),(140,1)}
       121:{2,5,6}:{(99,1),(100,1),(135,1),(139,1),(140,1)}
       122:{1,3,5,6}:{(101,1),(103,1),(109,1),(141,1),(142,1)}
       123:{1,4,5,7}:{(101,1),(102,1),(104,1),(110,1),(142,1),(143,1),(150,1)}
       124:{1,6,7}:{(102,1),(105,1)}
       125:{3,5,7}:{(103,1),(104,1),(112,1),(144,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(144,1),(145,1),(167,1),(168,1)}
       127:{1,5,6,7}:{(106,1),(114,1),(145,1)}
       128:{1,3,6}:{(107,1),(116,1),(146,1),(147,1)}
       129:{1,2,4,7}:{(107,1),(108,1),(110,1),(147,1),(149,1)}
       130:{1,2,6,7}:{(108,1),(111,1),(117,1),(167,1)}
       131:{2,4,6}:{(109,1),(118,1),(141,1),(146,1),(148,1),(149,1)}
       132:{1,3,4,7}:{(109,1),(110,1),(112,1),(142,1),(147,1),(149,1)}
       133:{1,4,6,7}:{(110,1),(111,1),(113,1),(119,1),(150,1)}
       134:{3,4,6,7}:{(112,1),(113,1),(120,1),(144,1),(151,1),(168,1)}
       135:{2,5,7}:{(113,1),(114,1),(121,1),(150,1),(151,1)}
       136:{1,3,4}:{(115,1),(116,1),(152,1)}
       137:{2,3,5}:{(116,1),(118,1),(146,1),(152,1),(153,1)}
       138:{1,4,5}:{(118,1),(148,1),(153,1)}
       139:{1,5,6}:{(119,1),(121,1),(150,1)}
       140:{3,5,6}:{(120,1),(121,1),(151,1),(154,1)}
       141:{2,5,6}:{(122,1),(131,1),(155,1),(156,1)}
       142:{1,3,5,7}:{(122,1),(123,1),(125,1),(132,1),(156,1),(157,1)}
       143:{1,4,6,7}:{(123,1),(124,1),(126,1),(157,1),(158,1)}
       144:{3,6,7}:{(125,1),(126,1)}
       145:{2,5,6,7}:{(126,1),(127,1),(135,1),(158,1),(159,1)}
       146:{2,3,6}:{(128,1),(131,1),(137,1),(160,1),(161,1)}
       147:{1,3,7}:{(128,1),(129,1),(161,1)}
       148:{1,4,6}:{(131,1),(138,1),(155,1),(160,1),(162,1)}
       149:{2,4,7}:{(131,1),(132,1),(156,1),(161,1),(162,1)}
       150:{1,5,7}:{(133,1),(135,1),(139,1)}
       151:{3,5,7}:{(134,1),(135,1),(140,1),(163,1)}
       152:{2,3,4}:{(136,1),(137,1),(164,1)}
       153:{1,3,5}:{(137,1),(138,1),(160,1),(164,1),(165,1)}
       154:{4,5,6}:{(140,1),(163,1)}
       155:{1,5,6}:{(141,1),(148,1),(166,1)}
       156:{2,5,7}:{(141,1),(142,1),(149,1),(166,1),(167,1)}
       157:{1,3,6,7}:{(142,1),(143,1),(144,1),(167,1)}
       158:{1,5,6,7}:{(143,1),(145,1),(150,1)}
       159:{3,5,6,7}:{(144,1),(145,1),(151,1),(168,1)}
       160:{1,3,6}:{(146,1),(148,1),(153,1),(169,1),(170,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(170,1)}
       162:{1,4,7}:{(148,1),(149,1),(166,1),(170,1)}
       163:{4,5,7}:{(151,1),(154,1),(168,1)}
       164:{1,3,4}:{(152,1),(153,1),(171,1)}
       165:{1,2,5}:{(153,1),(169,1),(171,1)}
       166:{1,5,7}:{(155,1),(156,1),(162,1),(172,1)}
       167:{2,6,7}:{(156,1),(157,1),(172,1)}
       168:{4,6,7}:{(159,1),(163,1)}
       169:{1,2,6}:{(160,1),(165,1),(173,1)}
       170:{1,3,7}:{(160,1),(161,1),(162,1),(173,1)}
       171:{1,2,4}:{(164,1),(165,1),(174,1)}
       172:{1,6,7}:{(166,1),(167,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,2,3}:{(171,1)}

 859 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(47,1),(136,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(111,1),(154,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(30,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(72,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(80,1),(101,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(18,1),(42,1),(46,1),(47,1),(84,1),(133,1)}
         6:{1,2,5}:{(1,1),(13,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(17,1),(167,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(58,1),(74,1),(124,1)}
        10:{1,2,3,5}:{(4,1),(20,1),(22,1),(57,1)}
        11:{1,2,3,7}:{(4,1),(21,1),(109,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(32,1),(59,1),(60,1),(64,1),(71,1),(108,1)}
        13:{1,3,5}:{(5,1),(6,1),(23,1),(26,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(24,1),(27,1),(67,1),(72,1),(155,1)}
        15:{1,2,5,6}:{(6,1),(25,1),(28,1),(29,1),(31,1),(118,1),(154,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(26,1),(28,1),(30,1),(69,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(27,1),(31,1)}
        18:{1,3,4}:{(8,1),(30,1),(32,1)}
        19:{1,3,4,6}:{(9,1),(12,1),(33,1),(34,1),(38,1),(51,1),(75,1),(79,1),(80,1),(98,1)}
        20:{1,2,5}:{(9,1),(33,1)}
        21:{1,2,4,7}:{(9,1),(11,1),(34,1),(37,1),(147,1)}
        22:{1,2,4}:{(10,1),(38,1)}
        23:{2,3,5}:{(12,1),(13,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(12,1),(14,1),(34,1),(41,1),(87,1),(99,1),(134,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(39,1),(42,1),(43,1),(46,1),(47,1),(97,1),(133,1),(162,1)}
        26:{1,4,5}:{(13,1),(40,1),(42,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(41,1),(45,1),(46,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(93,1)}
        29:{1,2,5,7}:{(15,1),(43,1),(48,1),(49,1),(143,1),(167,1)}
        30:{1,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{2,3,4}:{(18,1),(50,1),(51,1)}
        33:{1,3,5}:{(19,1),(20,1),(23,1),(53,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(24,1),(54,1),(104,1),(109,1),(125,1)}
        35:{1,2,5,6}:{(20,1),(52,1),(55,1),(56,1),(58,1),(124,1),(148,1)}
        36:{1,2,4,5}:{(20,1),(22,1),(53,1),(55,1),(57,1),(106,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(54,1),(58,1)}
        38:{1,3,4}:{(22,1),(57,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(52,1),(60,1),(61,1),(64,1),(71,1),(108,1),(112,1),(117,1),(118,1),(148,1)}
        40:{2,4,5}:{(23,1),(26,1),(53,1),(60,1),(62,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(27,1),(54,1),(63,1),(64,1)}
        42:{1,4,6}:{(25,1),(26,1),(60,1),(67,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(61,1),(67,1),(68,1),(72,1),(123,1),(155,1),(171,1)}
        44:{1,3,4,5}:{(26,1),(30,1),(62,1),(66,1),(69,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(63,1),(67,1),(70,1),(123,1)}
        46:{1,3,6}:{(27,1),(31,1),(64,1),(70,1)}
        47:{1,3,6}:{(28,1),(30,1),(71,1),(72,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(67,1),(72,1),(122,1)}
        49:{1,2,6,7}:{(29,1),(31,1),(68,1),(161,1)}
        50:{2,3,5}:{(30,1),(32,1),(69,1),(71,1),(73,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,3,5,6}:{(33,1),(35,1),(39,1),(75,1),(76,1),(79,1),(80,1),(98,1),(132,1),(142,1)}
        53:{1,4,5}:{(33,1),(40,1),(75,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(37,1),(41,1),(78,1),(79,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(75,1),(80,1),(81,1),(128,1)}
        56:{1,2,5,7}:{(35,1),(76,1),(81,1),(82,1),(147,1),(163,1)}
        57:{1,3,5}:{(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,6}:{(37,1),(79,1)}
        59:{2,3,4}:{(38,1),(83,1),(84,1)}
        60:{2,4,6}:{(39,1),(40,1),(42,1),(75,1),(86,1),(87,1)}
        61:{2,3,5,7}:{(39,1),(43,1),(76,1),(87,1),(88,1),(99,1),(134,1),(137,1),(140,1),(143,1),(163,1)}
        62:{3,4,5}:{(40,1),(86,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(78,1),(87,1),(89,1),(90,1),(140,1)}
        64:{2,3,6}:{(41,1),(46,1),(79,1),(90,1)}
        65:{1,4,5,6}:{(42,1),(85,1),(91,1),(92,1),(97,1),(162,1)}
        66:{1,3,4,6}:{(42,1),(44,1),(47,1),(86,1),(91,1),(93,1),(94,1)}
        67:{1,4,7}:{(42,1),(43,1),(87,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(49,1),(88,1),(95,1),(174,1)}
        69:{2,4,5}:{(44,1),(50,1),(93,1),(96,1)}
        70:{1,4,6}:{(45,1),(46,1),(90,1),(97,1)}
        71:{2,3,6}:{(47,1),(50,1),(93,1),(98,1),(99,1)}
        72:{1,3,7}:{(47,1),(48,1),(99,1)}
        73:{1,3,5}:{(50,1),(51,1),(96,1),(98,1),(100,1)}
        74:{1,2,4}:{(51,1),(100,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(60,1),(104,1)}
        76:{1,3,5,7}:{(52,1),(56,1),(61,1),(104,1),(105,1),(109,1),(125,1),(153,1),(160,1)}
        77:{1,3,4,5}:{(53,1),(57,1),(62,1),(103,1),(106,1)}
        78:{1,4,5,7}:{(53,1),(54,1),(63,1),(104,1),(107,1),(153,1)}
        79:{1,3,6}:{(54,1),(58,1),(64,1),(107,1)}
        80:{1,3,6}:{(55,1),(57,1),(108,1),(109,1)}
        81:{1,2,4,7}:{(55,1),(56,1),(104,1),(109,1),(152,1)}
        82:{1,2,6,7}:{(56,1),(58,1),(105,1),(172,1)}
        83:{2,3,5}:{(57,1),(59,1),(106,1),(108,1),(110,1)}
        84:{1,3,4}:{(59,1),(110,1),(111,1)}
        85:{2,4,5,6}:{(60,1),(65,1),(102,1),(112,1),(113,1),(117,1),(118,1),(148,1),(159,1)}
        86:{3,4,6}:{(60,1),(62,1),(112,1),(114,1)}
        87:{2,4,7}:{(60,1),(61,1),(67,1),(104,1),(114,1)}
        88:{2,3,6,7}:{(61,1),(64,1),(68,1),(105,1),(115,1),(156,1),(161,1),(172,1)}
        89:{3,4,5,7}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        90:{2,4,6}:{(63,1),(64,1),(70,1),(107,1),(116,1),(117,1)}
        91:{1,3,5,6}:{(65,1),(66,1),(112,1),(118,1),(119,1)}
        92:{1,4,5,7}:{(65,1),(67,1),(113,1),(119,1),(120,1),(123,1),(171,1)}
        93:{2,4,6}:{(66,1),(69,1),(71,1),(118,1),(121,1),(122,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(72,1),(114,1),(119,1),(122,1)}
        95:{1,4,6,7}:{(67,1),(68,1),(70,1),(115,1),(123,1)}
        96:{1,4,5}:{(69,1),(73,1),(121,1)}
        97:{1,5,6}:{(70,1),(117,1),(123,1)}
        98:{1,3,6}:{(71,1),(73,1),(121,1),(124,1),(125,1)}
        99:{2,3,7}:{(71,1),(72,1),(122,1),(125,1)}
       100:{1,2,5}:{(73,1),(74,1),(124,1)}
       101:{1,2,3}:{(74,1)}
       102:{1,4,5,6}:{(75,1),(85,1),(126,1),(127,1),(132,1),(142,1)}
       103:{1,3,4,6}:{(75,1),(77,1),(80,1),(86,1),(126,1),(128,1),(129,1)}
       104:{1,4,7}:{(75,1),(76,1),(87,1)}
       105:{1,3,6,7}:{(76,1),(79,1),(82,1),(88,1),(130,1),(170,1)}
       106:{2,4,5}:{(77,1),(83,1),(128,1),(131,1)}
       107:{1,4,6}:{(78,1),(79,1),(90,1),(132,1)}
       108:{2,3,6}:{(80,1),(83,1),(128,1),(133,1),(134,1)}
       109:{1,3,7}:{(80,1),(81,1),(134,1)}
       110:{1,3,5}:{(83,1),(84,1),(131,1),(133,1),(135,1)}
       111:{1,2,4}:{(84,1),(135,1),(136,1)}
       112:{3,5,6}:{(85,1),(86,1),(137,1)}
       113:{2,4,5,7}:{(85,1),(87,1),(92,1),(127,1),(137,1),(138,1),(140,1),(143,1),(163,1),(169,1)}
       114:{3,4,7}:{(86,1),(87,1),(137,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(90,1),(95,1),(130,1),(139,1),(140,1)}
       116:{3,4,6}:{(89,1),(90,1),(141,1)}
       117:{2,5,6}:{(90,1),(97,1),(132,1),(140,1),(141,1)}
       118:{2,5,6}:{(91,1),(93,1),(142,1),(143,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(94,1),(137,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(92,1),(138,1),(144,1),(145,1),(174,1)}
       121:{1,4,6}:{(93,1),(96,1),(98,1),(142,1),(146,1)}
       122:{2,4,7}:{(93,1),(94,1),(99,1),(143,1),(146,1)}
       123:{1,5,7}:{(95,1),(97,1),(140,1)}
       124:{1,2,6}:{(98,1),(100,1),(147,1)}
       125:{1,3,7}:{(98,1),(99,1),(146,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(103,1),(112,1),(148,1),(149,1)}
       127:{1,4,5,7}:{(102,1),(104,1),(113,1),(149,1),(150,1),(153,1),(160,1)}
       128:{2,4,6}:{(103,1),(106,1),(108,1),(148,1),(151,1),(152,1)}
       129:{1,3,4,7}:{(103,1),(104,1),(109,1),(114,1),(149,1),(152,1)}
       130:{1,4,6,7}:{(104,1),(105,1),(107,1),(115,1),(153,1)}
       131:{1,4,5}:{(106,1),(110,1),(151,1)}
       132:{1,5,6}:{(107,1),(117,1),(153,1)}
       133:{1,3,6}:{(108,1),(110,1),(151,1),(154,1),(155,1)}
       134:{2,3,7}:{(108,1),(109,1),(152,1),(155,1)}
       135:{1,2,5}:{(110,1),(111,1),(154,1)}
       136:{1,2,3}:{(111,1)}
       137:{3,5,7}:{(112,1),(113,1),(114,1),(156,1)}
       138:{2,4,6,7}:{(113,1),(120,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,4,6,7}:{(114,1),(115,1),(116,1),(156,1),(158,1),(173,1)}
       140:{2,5,7}:{(115,1),(117,1),(123,1),(153,1),(158,1)}
       141:{3,5,6}:{(116,1),(117,1),(158,1),(159,1)}
       142:{1,5,6}:{(118,1),(121,1),(160,1)}
       143:{2,5,7}:{(118,1),(119,1),(122,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(119,1),(120,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(120,1),(123,1),(157,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(160,1)}
       147:{1,2,7}:{(124,1),(125,1)}
       148:{2,5,6}:{(126,1),(128,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(127,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(128,1),(131,1),(133,1),(162,1),(166,1)}
       152:{2,4,7}:{(128,1),(129,1),(134,1),(163,1),(166,1)}
       153:{1,5,7}:{(130,1),(132,1),(140,1)}
       154:{1,2,6}:{(133,1),(135,1),(167,1)}
       155:{1,3,7}:{(133,1),(134,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(140,1),(145,1),(165,1),(168,1)}
       158:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       159:{4,5,6}:{(141,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(158,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

 860 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

 861 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

 862 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(81,1),(122,1),(127,1),(130,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(95,1),(99,1),(102,1),(156,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(107,1),(157,1),(161,1)}
         3:{1,2,4,5,6}:{(6,1),(8,1),(21,1),(28,1),(57,1),(62,1),(107,1),(112,1),(116,1),(153,1),(157,1),(161,1),(200,1),(205,1),(234,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(14,1),(34,1),(38,1),(70,1),(73,1),(76,1),(130,1),(132,1),(182,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(129,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(13,1),(38,1),(41,1),(83,1),(127,1),(131,1),(136,1),(142,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(13,1),(14,1),(133,1),(182,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(86,1),(133,1),(144,1),(182,1),(222,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(27,1),(48,1),(50,1),(59,1),(102,1),(111,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(101,1),(157,1),(160,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(99,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1),(159,1),(169,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(106,1),(161,1)}
        15:{1,3,4,6}:{(8,1),(24,1),(25,1),(28,1),(200,1),(204,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(57,1),(61,1),(106,1),(112,1),(117,1),(161,1)}
        17:{1,2,5,6,7}:{(9,1),(30,1),(43,1),(73,1),(84,1),(124,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(31,1),(129,1),(138,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(75,1),(182,1),(184,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(124,1),(129,1),(188,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(14,1),(38,1),(39,1),(41,1),(80,1)}
        24:{1,3,4,5}:{(15,1),(40,1),(86,1),(141,1),(219,1),(222,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(41,1),(181,1),(184,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(16,1),(38,1),(41,1),(42,1),(136,1),(143,1)}
        27:{1,3,6,7}:{(14,1),(39,1),(42,1),(43,1),(133,1)}
        28:{2,4,6}:{(15,1),(16,1),(40,1),(41,1),(45,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(81,1),(86,1),(91,1),(133,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(47,1),(48,1),(51,1),(152,1),(157,1),(198,1)}
        31:{1,4,5,7}:{(18,1),(19,1),(49,1),(50,1),(59,1)}
        32:{1,3,4,6,7}:{(18,1),(20,1),(48,1),(50,1),(51,1),(93,1),(96,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(97,1),(101,1),(157,1),(205,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(63,1),(101,1),(105,1),(106,1),(148,1),(151,1),(160,1),(204,1),(207,1),(231,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(208,1)}
        37:{1,3,4,5,7}:{(22,1),(24,1),(25,1),(53,1),(56,1),(58,1),(103,1),(109,1),(159,1),(166,1),(208,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(64,1),(107,1)}
        40:{2,4,5}:{(24,1),(28,1),(61,1),(62,1),(112,1),(168,1)}
        41:{2,4,7}:{(25,1),(26,1),(28,1),(64,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(115,1)}
        43:{1,2,6,7}:{(27,1),(65,1),(161,1)}
        44:{2,3,4,6}:{(28,1),(61,1),(63,1),(66,1),(106,1),(117,1),(168,1),(204,1),(207,1)}
        45:{1,4,6}:{(28,1),(29,1),(62,1),(64,1)}
        46:{1,2,5,6}:{(29,1),(65,1),(67,1),(112,1),(161,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(69,1),(73,1),(84,1),(120,1),(126,1),(131,1),(138,1),(179,1),(214,1)}
        48:{1,3,6,7}:{(30,1),(69,1),(70,1),(176,1),(182,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(81,1),(129,1),(219,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(73,1)}
        51:{2,4,6,7}:{(32,1),(70,1),(73,1),(74,1),(120,1),(123,1)}
        52:{3,5,6}:{(33,1),(34,1),(75,1),(182,1),(222,1)}
        53:{3,4,5,7}:{(34,1),(75,1),(77,1),(184,1),(222,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(73,1),(76,1),(77,1),(78,1),(222,1),(224,1),(240,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(74,1),(78,1),(79,1),(85,1),(88,1),(128,1),(129,1),(133,1),(138,1),(174,1),(176,1),(181,1),(182,1),(184,1),(187,1),(218,1),(223,1),(239,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(75,1),(80,1),(129,1),(133,1),(182,1)}
        57:{2,5,6}:{(36,1),(38,1),(80,1),(81,1),(224,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(40,1),(41,1),(80,1),(82,1),(83,1),(136,1),(190,1),(224,1)}
        59:{1,5,7}:{(38,1),(39,1),(81,1)}
        60:{1,2,4,6,7}:{(39,1),(43,1),(79,1),(84,1),(85,1),(89,1),(134,1),(138,1),(214,1),(216,1),(239,1)}
        61:{2,3,5}:{(40,1),(44,1),(86,1),(222,1),(224,1)}
        62:{1,4,5}:{(40,1),(45,1),(86,1),(191,1)}
        63:{2,3,4,7}:{(41,1),(44,1),(82,1),(88,1),(143,1),(184,1),(190,1)}
        64:{1,4,7}:{(41,1),(42,1),(45,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(46,1),(89,1),(136,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(86,1),(88,1),(90,1),(91,1),(133,1),(141,1),(144,1),(191,1),(223,1)}
        67:{1,2,4,6}:{(45,1),(46,1),(87,1),(89,1),(90,1),(91,1)}
        68:{1,2,4,5,6}:{(47,1),(49,1),(92,1),(97,1),(108,1),(146,1),(152,1),(157,1),(163,1),(193,1),(198,1),(205,1),(225,1),(227,1),(243,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(92,1),(93,1),(94,1),(159,1),(229,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(94,1),(95,1),(151,1),(198,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(52,1),(96,1),(97,1),(232,1)}
        72:{1,3,4,5,7}:{(50,1),(53,1),(93,1),(96,1),(98,1),(103,1),(145,1),(154,1),(159,1),(203,1),(232,1)}
        73:{2,5,7}:{(50,1),(51,1),(97,1),(99,1)}
        74:{1,4,6,7}:{(51,1),(95,1),(99,1),(149,1),(152,1)}
        75:{3,4,6}:{(52,1),(53,1),(101,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(57,1),(97,1),(101,1),(102,1),(106,1),(151,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(160,1),(205,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(59,1),(99,1),(102,1),(103,1),(104,1),(159,1),(208,1),(232,1),(234,1),(243,1)}
        79:{2,4,6,7}:{(55,1),(104,1),(105,1),(114,1),(157,1),(160,1),(161,1),(196,1),(198,1),(207,1),(231,1)}
        80:{2,4,6}:{(56,1),(57,1),(58,1),(106,1),(107,1),(161,1)}
        81:{1,5,6}:{(57,1),(59,1),(107,1),(234,1)}
        82:{2,3,5,7}:{(58,1),(61,1),(63,1),(106,1),(109,1),(159,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(64,1),(107,1),(109,1),(209,1),(234,1)}
        84:{1,2,5,7}:{(59,1),(60,1),(104,1),(108,1),(111,1),(243,1)}
        85:{1,3,6,7}:{(60,1),(105,1),(111,1),(115,1),(162,1),(229,1),(230,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(112,1),(234,1)}
        87:{1,2,4,5}:{(62,1),(67,1),(112,1),(113,1),(168,1)}
        88:{1,3,4,7}:{(63,1),(64,1),(66,1),(109,1),(114,1),(115,1),(169,1),(209,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1)}
        90:{2,4,6}:{(66,1),(112,1),(114,1),(117,1),(161,1),(168,1)}
        91:{1,3,6}:{(67,1),(113,1),(115,1),(117,1)}
        92:{1,3,5,6}:{(68,1),(69,1),(118,1),(119,1),(176,1),(182,1),(210,1),(222,1),(238,1)}
        93:{1,3,4,7}:{(69,1),(118,1),(120,1),(138,1),(184,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(73,1),(119,1),(120,1),(121,1),(179,1),(215,1)}
        95:{1,3,6,7}:{(70,1),(74,1),(121,1),(122,1),(176,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(75,1),(123,1),(129,1),(176,1),(182,1)}
        97:{2,5,6}:{(71,1),(73,1),(123,1),(124,1),(240,1)}
        98:{2,4,5,7}:{(72,1),(73,1),(120,1),(123,1),(125,1),(126,1),(170,1),(179,1),(221,1),(240,1)}
        99:{1,5,7}:{(73,1),(74,1),(124,1)}
       100:{1,2,4,6,7}:{(74,1),(79,1),(122,1),(127,1),(128,1),(142,1),(175,1),(177,1),(181,1),(185,1),(223,1)}
       101:{2,4,6}:{(75,1),(76,1),(77,1),(129,1)}
       102:{1,3,5,6}:{(76,1),(78,1),(81,1),(124,1),(129,1),(130,1),(133,1),(176,1),(182,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(129,1),(131,1),(138,1),(181,1),(188,1),(219,1)}
       104:{2,5,7}:{(78,1),(79,1),(130,1),(224,1),(240,1)}
       105:{2,3,6,7}:{(79,1),(85,1),(128,1),(132,1),(143,1),(182,1),(186,1),(215,1),(217,1)}
       106:{2,3,6}:{(80,1),(82,1),(133,1),(182,1)}
       107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
       108:{1,2,5,6}:{(81,1),(84,1),(130,1),(134,1),(135,1),(216,1),(224,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(86,1),(88,1),(133,1),(136,1)}
       110:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(89,1),(131,1),(134,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       111:{1,3,5,7}:{(84,1),(85,1),(132,1),(135,1),(138,1)}
       112:{2,5}:{(86,1),(90,1)}
       113:{1,3,5}:{(87,1),(91,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(90,1),(136,1),(143,1)}
       115:{1,3,7}:{(89,1),(91,1),(143,1)}
       116:{1,2,4,6}:{(90,1),(139,1),(142,1),(144,1),(185,1),(191,1),(223,1)}
       117:{2,3,6}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(145,1),(146,1),(163,1),(204,1)}
       119:{2,3,5,6}:{(92,1),(94,1),(97,1),(146,1),(147,1),(151,1),(192,1),(198,1),(225,1),(228,1)}
       120:{2,4,7}:{(93,1),(94,1),(146,1),(149,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(99,1),(147,1),(149,1),(150,1),(197,1)}
       122:{1,2,6,7}:{(95,1),(150,1),(198,1)}
       123:{2,4,6}:{(96,1),(97,1),(98,1),(151,1),(152,1),(198,1)}
       124:{1,5,6}:{(97,1),(99,1),(152,1),(243,1)}
       125:{2,3,5,7}:{(98,1),(148,1),(151,1),(154,1),(159,1),(192,1)}
       126:{1,4,5,7}:{(98,1),(99,1),(149,1),(152,1),(154,1),(193,1),(233,1),(243,1)}
       127:{1,2,5,7}:{(99,1),(100,1),(104,1),(153,1),(156,1),(234,1)}
       128:{1,3,6,7}:{(100,1),(105,1),(156,1),(169,1),(197,1),(199,1),(206,1)}
       129:{1,4,6}:{(101,1),(102,1),(103,1),(157,1)}
       130:{2,5,6}:{(102,1),(104,1),(157,1),(161,1),(198,1)}
       131:{2,4,5,7}:{(103,1),(104,1),(157,1),(159,1),(160,1),(205,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(111,1),(156,1),(158,1),(159,1),(160,1)}
       133:{1,3,6}:{(106,1),(107,1),(109,1),(161,1)}
       134:{1,2,4,6}:{(107,1),(108,1),(110,1),(157,1),(161,1),(162,1),(163,1),(207,1)}
       135:{1,3,5,6}:{(108,1),(111,1),(158,1),(162,1),(163,1),(208,1),(230,1),(243,1)}
       136:{2,5,7}:{(109,1),(112,1),(114,1),(161,1)}
       137:{1,3,5,7}:{(110,1),(113,1),(115,1),(159,1),(162,1),(165,1),(166,1),(208,1)}
       138:{1,4,7}:{(111,1),(160,1),(163,1)}
       139:{1,2,5}:{(112,1),(116,1),(167,1),(234,1)}
       140:{2,3,5}:{(112,1),(113,1),(117,1),(167,1),(168,1)}
       141:{1,3,4}:{(113,1),(168,1)}
       142:{1,2,4,7}:{(114,1),(116,1),(164,1),(169,1),(209,1)}
       143:{2,3,7}:{(114,1),(115,1),(117,1),(169,1)}
       144:{1,3,6}:{(116,1),(117,1),(167,1),(169,1)}
       145:{1,3,4,5}:{(118,1),(170,1),(188,1),(210,1),(222,1),(237,1)}
       146:{2,4,6}:{(118,1),(119,1),(120,1),(170,1),(172,1)}
       147:{1,3,5,6}:{(119,1),(121,1),(124,1),(172,1),(173,1),(176,1),(210,1),(213,1)}
       148:{2,3,4,7}:{(120,1),(125,1),(171,1),(174,1),(184,1),(215,1),(221,1)}
       149:{1,4,7}:{(120,1),(121,1),(172,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(173,1),(175,1),(179,1)}
       151:{2,3,6}:{(123,1),(125,1),(176,1),(182,1)}
       152:{1,4,6}:{(123,1),(124,1),(126,1),(176,1)}
       153:{1,2,5,6}:{(124,1),(127,1),(130,1),(177,1),(178,1),(185,1),(240,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(174,1),(176,1),(179,1),(210,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(131,1),(175,1),(177,1),(179,1),(180,1),(181,1),(211,1),(219,1),(221,1),(240,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(132,1),(178,1),(181,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1)}
       158:{2,3,5,6}:{(130,1),(132,1),(135,1),(178,1),(182,1),(183,1),(186,1),(217,1),(222,1),(224,1),(240,1)}
       159:{3,5,7}:{(131,1),(182,1),(184,1),(222,1)}
       160:{2,4,7}:{(132,1),(138,1),(181,1),(183,1),(184,1)}
       161:{2,6}:{(133,1),(136,1)}
       162:{1,3,6}:{(134,1),(137,1),(182,1),(186,1)}
       163:{1,4,6}:{(135,1),(138,1),(183,1),(188,1)}
       164:{1,2,5,7}:{(136,1),(139,1),(142,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(136,1),(137,1),(140,1),(143,1),(186,1),(189,1),(190,1),(224,1)}
       166:{1,3,4,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(190,1)}
       167:{1,3,5}:{(139,1),(140,1),(144,1),(191,1)}
       168:{2,4}:{(140,1),(141,1),(191,1)}
       169:{1,3,7}:{(142,1),(143,1),(144,1)}
       170:{2,4,5}:{(145,1),(146,1),(192,1),(193,1),(225,1),(242,1)}
       171:{2,3,4,6}:{(146,1),(148,1),(151,1),(192,1),(194,1),(204,1),(228,1),(231,1),(242,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(193,1)}
       173:{1,2,5,6}:{(147,1),(150,1),(195,1),(198,1),(225,1)}
       174:{1,3,4,7}:{(148,1),(149,1),(154,1),(194,1),(196,1),(197,1),(229,1),(233,1)}
       175:{1,2,4,7}:{(149,1),(150,1),(195,1),(196,1),(197,1)}
       176:{1,3,6}:{(151,1),(152,1),(154,1),(198,1)}
       177:{1,2,4,6}:{(152,1),(153,1),(155,1),(157,1),(198,1),(199,1),(200,1),(231,1)}
       178:{1,3,5,6}:{(153,1),(156,1),(158,1),(199,1),(200,1),(206,1),(232,1),(234,1)}
       179:{2,5,7}:{(154,1),(196,1),(198,1),(225,1)}
       180:{1,3,5,7}:{(155,1),(159,1),(197,1),(199,1),(202,1),(203,1),(226,1),(232,1)}
       181:{1,4,7}:{(156,1),(160,1),(200,1)}
       182:{3,6}:{(157,1),(159,1)}
       183:{2,4,6}:{(158,1),(160,1),(163,1),(200,1),(204,1),(205,1)}
       184:{3,4,7}:{(159,1),(160,1),(204,1)}
       185:{1,2,6}:{(161,1),(164,1),(206,1)}
       186:{2,3,6}:{(161,1),(162,1),(165,1),(206,1),(207,1)}
       187:{1,3,4,6}:{(162,1),(163,1),(166,1),(204,1),(207,1),(208,1)}
       188:{1,4,5}:{(163,1),(205,1),(208,1),(243,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(167,1),(169,1),(206,1),(209,1),(234,1)}
       190:{2,4,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       191:{1,4}:{(167,1),(168,1)}
       192:{2,3,5}:{(170,1),(171,1),(210,1),(222,1),(240,1)}
       193:{1,4,5}:{(170,1),(172,1),(210,1),(244,1)}
       194:{1,3,4,6}:{(171,1),(172,1),(174,1),(176,1),(210,1),(212,1),(213,1),(237,1),(238,1),(239,1),(244,1)}
       195:{1,2,4,6}:{(172,1),(173,1),(175,1),(211,1),(212,1),(213,1)}
       196:{2,4,7}:{(174,1),(179,1),(212,1),(215,1)}
       197:{1,3,7}:{(175,1),(213,1),(215,1)}
       198:{2,6}:{(176,1),(179,1)}
       199:{1,3,6}:{(177,1),(180,1),(182,1),(217,1)}
       200:{1,4,6}:{(178,1),(181,1),(183,1),(219,1)}
       201:{1,2,5,7}:{(179,1),(214,1),(216,1),(220,1),(235,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(215,1),(217,1),(220,1),(221,1),(236,1),(240,1)}
       203:{1,3,4,7}:{(180,1),(181,1),(184,1),(218,1),(221,1),(237,1)}
       204:{3,4,6}:{(182,1),(183,1),(184,1),(222,1)}
       205:{2,4,5}:{(183,1),(188,1),(219,1),(222,1),(224,1),(240,1)}
       206:{1,3,6}:{(185,1),(186,1),(189,1),(223,1)}
       207:{2,4,6}:{(186,1),(187,1),(190,1),(223,1),(224,1)}
       208:{1,3,5}:{(187,1),(188,1),(222,1),(224,1)}
       209:{1,4,7}:{(189,1),(190,1),(191,1),(223,1)}
       210:{1,3,5}:{(192,1),(193,1),(194,1),(225,1),(243,1)}
       211:{1,2,4,5}:{(193,1),(195,1),(225,1),(226,1),(242,1)}
       212:{2,4,6}:{(194,1),(196,1),(198,1),(225,1),(228,1),(242,1)}
       213:{1,3,6}:{(195,1),(197,1),(226,1),(228,1)}
       214:{1,2,4,7}:{(196,1),(201,1),(227,1),(229,1),(233,1)}
       215:{2,3,7}:{(196,1),(197,1),(228,1),(229,1)}
       216:{1,2,6}:{(198,1),(201,1),(230,1)}
       217:{2,3,6}:{(198,1),(199,1),(202,1),(230,1),(231,1)}
       218:{1,3,4,6}:{(199,1),(200,1),(203,1),(204,1),(231,1),(232,1)}
       219:{1,4,5}:{(200,1),(205,1),(232,1),(234,1)}
       220:{1,3,5,7}:{(201,1),(202,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       221:{2,4,7}:{(202,1),(203,1),(231,1),(233,1),(242,1)}
       222:{3,5}:{(204,1),(205,1)}
       223:{1,4,6}:{(206,1),(207,1),(209,1),(234,1)}
       224:{2,5}:{(207,1),(208,1),(234,1)}
       225:{2,5}:{(210,1),(212,1)}
       226:{1,3,5}:{(211,1),(213,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(212,1),(214,1),(216,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(212,1),(213,1),(215,1),(236,1),(238,1)}
       229:{1,3,7}:{(214,1),(215,1),(238,1)}
       230:{1,3,6}:{(216,1),(217,1),(220,1),(239,1)}
       231:{2,4,6}:{(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,3,5}:{(218,1),(219,1),(222,1),(240,1)}
       233:{1,4,7}:{(220,1),(221,1),(239,1),(244,1)}
       234:{1,5}:{(223,1),(224,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

 863 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 864 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

 865 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 866 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

 867 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 868 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 869 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

 870 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

 871 :   0:{1,2,6,7}:{(3,1),(5,1),(160,1),(246,1),(305,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(80,1),(138,1),(159,1),(160,1),(223,1),(238,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(27,1),(33,1),(80,1),(87,1),(139,1),(155,1),(223,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(116,1),(264,1),(341,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(16,1),(48,1),(50,1),(98,1),(116,1),(178,1),(264,1),(266,1),(341,1),(394,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(15,1),(117,1),(181,1),(203,1),(280,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(52,1),(123,1),(200,1),(274,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(249,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(134,1),(162,1),(220,1),(221,1),(238,1),(249,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(148,1),(160,1),(221,1),(318,1),(321,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(31,1),(65,1),(68,1),(70,1),(80,1),(134,1),(148,1),(160,1),(221,1),(238,1),(241,1),(313,1),(321,1),(377,1),(381,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(28,1),(78,1),(371,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(28,1),(30,1),(137,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(27,1),(28,1),(307,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(28,1),(30,1),(81,1),(165,1),(243,1),(312,1)}
        16:{1,3,6}:{(6,1),(7,1),(30,1),(31,1),(313,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(80,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(176,1),(205,1),(290,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(37,1),(38,1),(40,1),(54,1),(92,1),(94,1),(118,1),(176,1),(205,1),(207,1),(290,1),(359,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(37,1),(39,1),(121,1),(177,1),(262,1),(280,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(96,1),(258,1),(274,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(44,1),(105,1),(355,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(44,1),(53,1),(97,1),(106,1),(117,1),(177,1),(280,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(38,1),(43,1),(44,1),(45,1),(284,1),(399,1)}
        26:{1,5,7}:{(12,1),(42,1),(48,1),(394,1)}
        27:{1,4,5}:{(14,1),(43,1),(50,1),(178,1),(394,1)}
        28:{1,4,7}:{(13,1),(14,1),(44,1)}
        29:{1,3,4,6}:{(14,1),(16,1),(17,1),(45,1),(50,1),(51,1),(52,1),(116,1)}
        30:{1,3,7}:{(15,1),(16,1),(53,1),(347,1)}
        31:{2,3,6}:{(16,1),(18,1),(52,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(50,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(118,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(61,1),(127,1),(134,1),(162,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(62,1),(132,1),(328,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(62,1),(64,1),(83,1),(161,1)}
        38:{1,4,6}:{(20,1),(25,1),(61,1),(62,1),(251,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(62,1),(64,1),(135,1),(299,1),(312,1),(363,1)}
        40:{1,3,6}:{(22,1),(59,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(71,1),(142,1),(148,1),(374,1),(378,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(68,1),(381,1)}
        43:{2,4,5}:{(25,1),(27,1),(61,1),(70,1),(80,1),(134,1),(381,1),(414,1)}
        44:{2,4,7}:{(24,1),(25,1),(28,1),(62,1),(71,1),(411,1)}
        45:{3,4,6}:{(25,1),(70,1),(71,1),(148,1),(313,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,4,5,6}:{(27,1),(67,1),(76,1),(77,1),(78,1),(220,1),(231,1),(314,1),(327,1),(384,1)}
        48:{1,5,6}:{(26,1),(68,1),(78,1)}
        49:{1,4,5,7}:{(26,1),(27,1),(28,1),(69,1),(78,1),(79,1),(222,1)}
        50:{1,3,5}:{(27,1),(29,1),(70,1),(80,1)}
        51:{1,3,4,7}:{(28,1),(29,1),(30,1),(71,1),(79,1),(81,1)}
        52:{2,4,6}:{(29,1),(31,1),(33,1),(80,1),(81,1),(82,1),(160,1)}
        53:{2,3,7}:{(30,1),(31,1),(81,1),(83,1),(243,1)}
        54:{1,3,6}:{(31,1),(34,1),(82,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(77,1),(85,1),(86,1),(141,1),(154,1),(231,1),(313,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(80,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(92,1),(359,1)}
        61:{1,4,5}:{(38,1),(43,1),(94,1),(118,1),(359,1)}
        62:{1,4,7}:{(37,1),(38,1),(44,1)}
        63:{1,3,4,6}:{(38,1),(40,1),(45,1),(89,1),(94,1),(95,1),(96,1),(176,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(90,1),(96,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(400,1)}
        67:{2,4,5,6}:{(43,1),(47,1),(91,1),(103,1),(104,1),(105,1),(115,1),(175,1),(186,1),(187,1),(274,1),(275,1),(349,1),(354,1),(399,1),(402,1)}
        68:{2,5,6}:{(42,1),(48,1),(92,1),(99,1),(105,1)}
        69:{2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(93,1),(100,1),(105,1),(106,1),(117,1),(177,1)}
        70:{3,5}:{(43,1),(45,1)}
        71:{3,4,7}:{(44,1),(45,1),(106,1),(347,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(52,1),(96,1),(107,1),(108,1),(109,1),(110,1),(168,1),(186,1),(194,1),(198,1),(254,1),(284,1),(286,1),(348,1),(355,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(48,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(103,1),(113,1),(114,1),(262,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(50,1),(55,1),(104,1),(114,1),(115,1),(116,1),(293,1),(360,1)}
        78:{1,4,6}:{(48,1),(49,1),(105,1),(116,1),(264,1)}
        79:{1,3,5,7}:{(49,1),(50,1),(51,1),(106,1),(116,1),(117,1)}
        80:{2,5}:{(50,1),(52,1),(118,1)}
        81:{2,4,7}:{(51,1),(52,1),(53,1),(117,1),(119,1)}
        82:{1,4,6}:{(52,1),(54,1),(57,1),(118,1),(119,1),(205,1)}
        83:{1,3,7}:{(53,1),(54,1),(119,1),(121,1)}
        84:{1,2,6}:{(54,1),(58,1),(121,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(114,1),(122,1),(185,1),(199,1),(273,1),(347,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(115,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(118,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(134,1),(297,1),(298,1)}
        91:{1,4,5,6}:{(61,1),(67,1),(130,1),(131,1),(132,1),(159,1),(231,1),(314,1),(370,1),(410,1)}
        92:{1,5,6}:{(60,1),(68,1),(132,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(62,1),(69,1),(132,1),(133,1),(161,1)}
        94:{1,3,5}:{(61,1),(63,1),(70,1),(134,1)}
        95:{1,3,4,7}:{(62,1),(63,1),(64,1),(71,1),(133,1),(135,1)}
        96:{2,4,6}:{(63,1),(65,1),(127,1),(134,1),(135,1),(136,1),(221,1)}
        97:{2,3,7}:{(64,1),(65,1),(135,1),(137,1),(363,1)}
        98:{1,3,6}:{(65,1),(128,1),(136,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(68,1),(142,1),(148,1)}
       100:{4,5,7}:{(66,1),(142,1),(411,1),(414,1)}
       101:{3,4,5}:{(70,1),(141,1),(144,1),(317,1),(376,1),(414,1)}
       102:{2,5,6,7}:{(68,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,5,7}:{(67,1),(76,1),(130,1),(145,1),(146,1),(158,1),(219,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       104:{3,5,6}:{(67,1),(70,1),(141,1),(146,1),(148,1),(313,1),(376,1),(413,1)}
       105:{2,4,6}:{(68,1),(69,1),(78,1),(132,1),(142,1),(148,1),(160,1),(221,1)}
       106:{3,5,7}:{(69,1),(70,1),(71,1),(148,1)}
       107:{2,3,5}:{(70,1),(72,1),(80,1),(134,1),(144,1),(150,1),(324,1),(376,1),(381,1),(407,1)}
       108:{2,3,4,7}:{(71,1),(72,1),(81,1),(135,1),(149,1),(151,1),(153,1),(230,1),(242,1),(295,1),(322,1),(323,1),(375,1),(406,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(82,1),(136,1),(150,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(231,1),(239,1),(251,1),(296,1),(307,1),(309,1),(313,1),(317,1),(328,1),(371,1),(378,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(313,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(78,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(85,1),(146,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(80,1),(86,1),(158,1),(159,1),(160,1),(324,1),(382,1)}
       116:{1,3,6}:{(78,1),(79,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(83,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(84,1),(88,1),(152,1),(162,1),(163,1),(164,1),(249,1),(251,1),(294,1),(328,1),(361,1),(405,1)}
       121:{1,2,7}:{(83,1),(84,1),(243,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(158,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(159,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(162,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(327,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(94,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(178,1),(260,1)}
       129:{1,5,6,7}:{(92,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,5,7}:{(91,1),(103,1),(173,1),(174,1),(203,1),(273,1),(345,1)}
       131:{1,3,5,6}:{(91,1),(94,1),(104,1),(169,1),(174,1),(175,1),(176,1),(391,1),(419,1)}
       132:{1,4,6}:{(92,1),(93,1),(105,1),(176,1),(205,1)}
       133:{1,3,5,7}:{(93,1),(94,1),(95,1),(106,1),(176,1),(177,1)}
       134:{2,5}:{(94,1),(96,1),(178,1)}
       135:{2,4,7}:{(95,1),(96,1),(97,1),(177,1),(179,1)}
       136:{1,4,6}:{(96,1),(98,1),(171,1),(178,1),(179,1),(264,1)}
       137:{1,3,7}:{(97,1),(98,1),(179,1),(181,1)}
       138:{1,2,6}:{(98,1),(172,1),(181,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(184,1),(191,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(104,1),(185,1),(186,1),(399,1)}
       142:{4,6}:{(99,1),(100,1)}
       143:{3,4,5,7}:{(100,1),(101,1),(106,1),(185,1),(188,1),(189,1),(271,1),(351,1),(398,1),(400,1),(421,1)}
       144:{2,4,5}:{(101,1),(107,1),(186,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(105,1),(113,1),(173,1),(184,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,5,7}:{(103,1),(104,1),(185,1),(191,1),(347,1)}
       147:{2,3,5,6}:{(104,1),(107,1),(110,1),(115,1),(175,1),(186,1),(192,1),(193,1),(194,1),(254,1),(275,1)}
       148:{3,6}:{(105,1),(106,1)}
       149:{2,3,5,7}:{(106,1),(107,1),(108,1),(117,1),(177,1),(189,1),(194,1),(195,1),(356,1),(398,1),(418,1)}
       150:{1,3,5}:{(107,1),(109,1),(118,1),(178,1),(190,1),(196,1),(278,1),(344,1),(359,1),(394,1),(400,1),(417,1)}
       151:{1,3,4,7}:{(108,1),(109,1),(119,1),(179,1),(195,1),(197,1),(199,1),(208,1),(267,1),(273,1),(291,1),(332,1),(342,1),(343,1),(347,1),(351,1),(416,1)}
       152:{2,4,6}:{(109,1),(112,1),(196,1),(197,1),(198,1),(200,1),(256,1),(282,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(347,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(116,1),(191,1),(202,1),(360,1)}
       158:{2,5,7}:{(114,1),(115,1),(122,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(118,1),(123,1),(203,1),(205,1),(344,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(196,1),(207,1),(359,1),(417,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(121,1),(197,1),(206,1),(208,1),(291,1),(385,1),(416,1)}
       164:{1,3,6}:{(120,1),(125,1),(198,1),(207,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(204,1),(209,1),(210,1),(274,1),(286,1),(289,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(131,1),(141,1),(214,1),(215,1),(231,1),(296,1),(313,1)}
       170:{2,4,5}:{(126,1),(127,1),(134,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(132,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,5,7}:{(130,1),(131,1),(146,1),(214,1),(218,1),(219,1)}
       175:{2,5,6}:{(131,1),(134,1),(215,1),(219,1),(220,1),(221,1),(407,1),(424,1)}
       176:{1,3,6}:{(132,1),(133,1),(148,1),(221,1)}
       177:{2,5,7}:{(133,1),(134,1),(135,1),(221,1),(222,1)}
       178:{1,5}:{(134,1),(136,1)}
       179:{1,4,7}:{(135,1),(136,1),(137,1),(222,1)}
       180:{1,2,4,6}:{(136,1),(138,1),(139,1),(152,1),(217,1),(223,1),(224,1),(225,1),(226,1),(305,1),(307,1),(309,1),(371,1)}
       181:{1,2,7}:{(137,1),(138,1),(363,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,6,7}:{(140,1),(142,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(146,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(147,1),(230,1),(231,1)}
       187:{4,5,6}:{(142,1),(228,1),(232,1),(414,1),(425,1)}
       188:{3,4,6}:{(142,1),(143,1),(148,1),(232,1),(233,1),(413,1),(425,1)}
       189:{2,4,5,7}:{(143,1),(144,1),(149,1),(230,1),(233,1),(234,1),(310,1),(322,1),(381,1)}
       190:{1,4,5}:{(144,1),(150,1),(231,1),(235,1),(251,1),(307,1),(414,1)}
       191:{3,6,7}:{(145,1),(146,1),(148,1),(413,1)}
       192:{2,3,5,7}:{(146,1),(147,1),(153,1),(158,1),(219,1),(230,1),(236,1),(237,1),(295,1),(310,1)}
       193:{1,3,5,6}:{(147,1),(150,1),(154,1),(159,1),(220,1),(231,1),(237,1),(238,1),(239,1),(296,1),(313,1),(314,1),(377,1)}
       194:{2,3,6}:{(148,1),(149,1),(160,1),(221,1),(233,1),(239,1),(382,1),(413,1),(424,1)}
       195:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(222,1),(234,1),(239,1),(240,1),(316,1),(372,1),(423,1)}
       196:{2,5}:{(150,1),(152,1)}
       197:{2,4,7}:{(151,1),(152,1),(240,1),(242,1),(243,1),(363,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(241,1),(242,1),(298,1),(313,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(160,1),(246,1),(382,1)}
       203:{1,5,7}:{(158,1),(159,1),(165,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(162,1),(166,1),(238,1),(247,1),(248,1),(249,1),(324,1),(361,1),(382,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(240,1),(249,1),(250,1),(423,1)}
       207:{1,3,5}:{(162,1),(164,1),(241,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(242,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(247,1),(252,1),(312,1),(323,1),(326,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(313,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(174,1),(185,1),(257,1),(273,1),(332,1),(347,1)}
       215:{2,4,6}:{(169,1),(170,1),(175,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(178,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(176,1),(191,1),(261,1),(419,1)}
       219:{2,5,7}:{(174,1),(175,1),(257,1),(261,1),(262,1)}
       220:{1,5,6}:{(175,1),(178,1),(258,1),(262,1),(264,1),(417,1),(426,1)}
       221:{2,6}:{(176,1),(177,1),(264,1)}
       222:{1,5,7}:{(177,1),(178,1),(179,1),(264,1)}
       223:{1,2,5}:{(178,1),(180,1),(196,1),(266,1),(344,1),(394,1)}
       224:{1,2,4,7}:{(179,1),(180,1),(181,1),(197,1),(265,1),(267,1),(268,1),(342,1),(343,1)}
       225:{1,3,6}:{(180,1),(183,1),(198,1),(260,1),(266,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(187,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(273,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(273,1),(274,1),(399,1)}
       232:{3,5,6}:{(187,1),(188,1),(271,1),(275,1),(400,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(275,1),(276,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(273,1),(276,1),(277,1),(291,1),(342,1),(345,1),(359,1),(394,1)}
       235:{2,4,5}:{(190,1),(196,1),(274,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(202,1),(261,1),(272,1),(279,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(199,1),(203,1),(262,1),(273,1),(279,1),(280,1),(332,1),(345,1),(347,1),(396,1)}
       238:{2,5,6}:{(193,1),(196,1),(200,1),(274,1),(280,1),(282,1),(333,1)}
       239:{1,3,6}:{(194,1),(195,1),(205,1),(264,1),(276,1),(282,1),(350,1),(395,1),(426,1)}
       240:{2,5,7}:{(195,1),(196,1),(197,1),(282,1)}
       241:{2,3,5}:{(196,1),(198,1),(207,1),(266,1),(278,1),(284,1)}
       242:{2,3,7}:{(197,1),(198,1),(208,1),(267,1),(347,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(205,1),(395,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(209,1),(280,1),(287,1),(288,1),(356,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(207,1),(210,1),(281,1),(288,1),(289,1),(290,1),(293,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,2,6}:{(205,1),(206,1),(282,1),(290,1),(426,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(283,1),(290,1),(291,1),(359,1)}
       251:{1,4}:{(207,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(347,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(289,1),(292,1),(293,1),(348,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(313,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(219,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(220,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(223,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(370,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(221,1),(302,1),(424,1)}
       262:{1,5,7}:{(219,1),(220,1),(299,1),(302,1)}
       263:{1,2,5,6}:{(220,1),(223,1),(226,1),(238,1),(300,1),(303,1),(304,1),(305,1),(407,1),(424,1)}
       264:{1,6}:{(221,1),(222,1)}
       265:{1,2,5,7}:{(222,1),(223,1),(224,1),(240,1),(305,1),(306,1),(372,1)}
       266:{1,3,5}:{(223,1),(225,1),(241,1),(307,1)}
       267:{1,3,7}:{(224,1),(225,1),(242,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(232,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(237,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(235,1),(238,1),(312,1),(313,1)}
       275:{2,5,6}:{(232,1),(233,1),(310,1),(314,1),(381,1)}
       276:{1,4,6}:{(233,1),(234,1),(239,1),(314,1),(315,1)}
       277:{2,4,5,7}:{(234,1),(235,1),(240,1),(312,1),(315,1),(316,1),(322,1),(373,1),(381,1),(411,1),(414,1)}
       278:{3,5}:{(235,1),(313,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(239,1),(246,1),(302,1),(311,1),(318,1),(374,1)}
       280:{2,5,7}:{(237,1),(238,1),(243,1),(312,1),(318,1),(363,1)}
       281:{2,3,5,6}:{(238,1),(241,1),(244,1),(248,1),(304,1),(313,1),(319,1),(320,1),(321,1),(324,1),(364,1),(376,1),(377,1),(381,1),(382,1),(407,1),(413,1),(415,1),(424,1)}
       282:{2,6}:{(239,1),(240,1)}
       283:{2,3,5,7}:{(240,1),(241,1),(242,1),(250,1),(306,1),(316,1),(321,1),(322,1),(381,1)}
       284:{2,4}:{(241,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(252,1),(319,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(251,1),(320,1),(326,1),(327,1)}
       290:{1,3,6}:{(249,1),(250,1),(321,1),(328,1)}
       291:{1,4,7}:{(250,1),(251,1),(322,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(326,1),(329,1),(375,1)}
       293:{1,3,5}:{(253,1),(324,1),(327,1),(376,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(347,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(262,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(263,1),(274,1),(333,1),(335,1),(336,1),(340,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(264,1),(426,1)}
       303:{1,2,5,7}:{(262,1),(263,1),(268,1),(280,1),(335,1),(338,1),(339,1),(418,1)}
       304:{1,3,5,6}:{(263,1),(266,1),(269,1),(281,1),(336,1),(339,1),(340,1),(341,1),(344,1),(391,1),(394,1),(395,1),(419,1),(420,1)}
       305:{1,2,6}:{(264,1),(265,1),(282,1),(341,1),(395,1)}
       306:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(341,1),(342,1),(394,1)}
       307:{1,4}:{(266,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(275,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(276,1),(279,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(280,1),(347,1)}
       313:{3,6}:{(274,1),(278,1),(347,1)}
       314:{1,5,6}:{(275,1),(276,1),(345,1),(349,1),(359,1),(394,1)}
       315:{2,4,6}:{(276,1),(277,1),(282,1),(349,1),(350,1),(399,1)}
       316:{3,5,7}:{(277,1),(278,1),(347,1),(350,1),(351,1),(400,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,5,7}:{(280,1),(281,1),(285,1),(288,1),(339,1),(347,1),(352,1),(353,1),(356,1),(388,1),(396,1),(398,1),(401,1),(418,1)}
       320:{2,4,6}:{(281,1),(284,1),(289,1),(340,1),(348,1),(353,1),(354,1),(399,1)}
       321:{2,3,6}:{(282,1),(283,1),(290,1),(341,1),(350,1),(355,1)}
       322:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(351,1),(355,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(353,1)}
       327:{1,4,5}:{(289,1),(293,1),(354,1),(359,1),(417,1)}
       328:{1,4,6}:{(290,1),(291,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(358,1),(360,1),(398,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(303,1),(312,1),(363,1),(366,1),(369,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(313,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,5,7}:{(303,1),(304,1),(308,1),(319,1),(366,1),(368,1),(369,1),(372,1),(409,1)}
       340:{1,4,6}:{(304,1),(307,1),(320,1),(369,1),(370,1)}
       341:{1,3,6}:{(305,1),(306,1),(321,1),(371,1)}
       342:{1,4,7}:{(306,1),(307,1),(322,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(314,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(315,1),(318,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(317,1),(320,1),(375,1),(376,1),(413,1)}
       349:{2,5,6}:{(314,1),(315,1),(373,1),(377,1),(381,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{3,4,7}:{(316,1),(317,1),(322,1),(378,1),(411,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(374,1),(379,1),(382,1),(413,1),(424,1)}
       353:{2,4,7}:{(319,1),(320,1),(326,1),(369,1),(375,1),(411,1)}
       354:{2,4,5}:{(320,1),(324,1),(327,1),(370,1),(376,1),(381,1),(407,1),(414,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(378,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(328,1),(379,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(329,1),(380,1),(383,1),(384,1),(423,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(413,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(347,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(340,1),(348,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,7}:{(339,1),(340,1),(353,1)}
       370:{1,4,5}:{(340,1),(344,1),(354,1),(391,1),(394,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(349,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(350,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(353,1),(398,1)}
       376:{3,5}:{(348,1),(354,1)}
       377:{3,5,6}:{(349,1),(350,1),(396,1),(399,1),(400,1)}
       378:{3,4,6}:{(350,1),(351,1),(355,1),(399,1),(400,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(355,1),(357,1),(392,1),(397,1),(401,1),(402,1)}
       380:{2,4,5,7}:{(353,1),(354,1),(356,1),(358,1),(393,1),(398,1),(401,1),(402,1),(418,1),(421,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(400,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(359,1),(401,1),(403,1)}
       384:{1,4,6}:{(358,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(369,1),(375,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(370,1),(376,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(371,1),(379,1),(409,1),(410,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(380,1),(408,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(379,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(380,1),(413,1)}
       399:{4,6}:{(377,1),(411,1),(414,1)}
       400:{3,5}:{(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(381,1),(383,1),(409,1),(412,1),(415,1)}
       402:{2,4,6}:{(380,1),(382,1),(384,1),(410,1),(413,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(393,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(394,1),(401,1),(420,1)}
       410:{1,4,6}:{(393,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(402,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(414,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 872 :   0:{1,4,5,6,7}:{(1,1),(2,1),(28,1),(32,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(16,1),(18,1),(51,1),(106,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(114,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(13,1),(32,1),(130,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(75,1),(140,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(32,1),(36,1),(75,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(150,1)}
         7:{1,3,4,5,6}:{(11,1),(14,1),(29,1),(40,1),(70,1),(88,1),(133,1),(151,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(166,1)}
         9:{3,4,6,7}:{(4,1),(17,1),(18,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(18,1),(19,1),(21,1),(44,1),(48,1)}
        11:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(20,1),(49,1),(55,1),(102,1),(111,1),(114,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(57,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(188,1)}
        14:{2,4,5,6}:{(7,1),(20,1),(24,1),(25,1),(61,1),(119,1),(189,1)}
        15:{1,3,4,6,7}:{(8,1),(9,1),(26,1),(27,1),(32,1),(66,1),(75,1)}
        16:{2,5,6,7}:{(8,1),(27,1),(28,1),(205,1)}
        17:{3,4,5,7}:{(9,1),(29,1),(30,1),(140,1),(280,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(30,1),(32,1)}
        19:{1,3,5,6,7}:{(10,1),(13,1),(28,1),(32,1),(33,1),(36,1),(66,1),(72,1),(75,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(14,1),(34,1),(35,1),(79,1),(147,1),(150,1)}
        21:{2,3,6,7}:{(12,1),(34,1),(36,1),(75,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(35,1),(36,1)}
        23:{1,2,5,6,7}:{(13,1),(33,1),(37,1),(38,1),(127,1),(135,1),(150,1),(228,1),(283,1)}
        24:{2,3,5,6}:{(14,1),(34,1),(39,1),(40,1),(133,1)}
        25:{1,4,5,6}:{(14,1),(35,1),(40,1),(154,1),(228,1)}
        26:{1,3,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(49,1),(92,1),(102,1),(163,1),(166,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(45,1),(94,1)}
        28:{1,5,6,7}:{(16,1),(45,1),(242,1)}
        29:{3,4,5,6}:{(17,1),(47,1),(180,1),(298,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(49,1),(251,1)}
        31:{2,3,4,6,7}:{(18,1),(21,1),(44,1),(48,1),(50,1),(54,1),(91,1),(97,1),(105,1),(113,1),(165,1),(177,1),(251,1)}
        32:{1,4,6,7}:{(18,1),(19,1),(49,1),(51,1)}
        33:{2,5,6,7}:{(19,1),(51,1),(57,1),(94,1),(101,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(24,1),(54,1),(55,1),(102,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(25,1),(55,1),(185,1),(188,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(55,1),(57,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(51,1),(56,1),(57,1),(58,1),(59,1),(113,1),(260,1),(301,1),(302,1)}
        38:{1,3,5,6,7}:{(23,1),(52,1),(58,1),(59,1),(114,1),(164,1),(174,1),(242,1),(255,1)}
        39:{2,3,4,6}:{(24,1),(53,1),(54,1),(60,1),(119,1),(171,1),(190,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(55,1),(60,1),(61,1)}
        41:{1,2,4,5,6}:{(25,1),(56,1),(61,1),(62,1),(99,1),(115,1),(116,1),(119,1),(169,1),(189,1),(193,1),(247,1),(260,1),(261,1),(299,1),(301,1),(302,1)}
        42:{1,3,4,5,6}:{(26,1),(29,1),(63,1),(70,1),(122,1),(133,1),(198,1),(206,1)}
        43:{2,4,5,7}:{(26,1),(27,1),(63,1),(64,1),(65,1),(125,1),(202,1),(205,1)}
        44:{2,3,6,7}:{(27,1),(64,1),(66,1),(75,1)}
        45:{1,4,6,7}:{(27,1),(28,1),(65,1),(66,1)}
        46:{1,2,5,6,7}:{(28,1),(33,1),(67,1),(68,1),(81,1),(135,1),(205,1),(273,1),(283,1)}
        47:{2,4,5,6}:{(29,1),(30,1),(69,1),(70,1),(277,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(69,1),(72,1),(140,1),(150,1),(205,1)}
        49:{1,4,5,7}:{(30,1),(32,1),(70,1),(72,1),(73,1),(215,1)}
        50:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(66,1),(72,1),(74,1),(75,1),(78,1),(124,1),(131,1),(137,1),(138,1),(149,1),(204,1),(215,1)}
        51:{2,4,6,7}:{(32,1),(33,1),(73,1),(75,1)}
        52:{2,3,5,6,7}:{(33,1),(38,1),(68,1),(75,1),(76,1),(82,1),(128,1),(136,1),(140,1),(150,1),(205,1),(214,1),(220,1),(283,1),(311,1)}
        53:{2,3,4,5}:{(39,1),(77,1),(155,1),(211,1),(221,1)}
        54:{2,3,4,7}:{(34,1),(39,1),(78,1),(137,1),(147,1),(223,1)}
        55:{1,3,5,7}:{(34,1),(35,1),(36,1),(40,1),(78,1),(79,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(41,1),(73,1),(79,1),(80,1),(84,1),(135,1),(144,1),(147,1),(150,1),(215,1),(226,1),(281,1),(284,1)}
        57:{2,6,7}:{(36,1),(79,1)}
        58:{1,3,6,7}:{(37,1),(75,1),(80,1),(82,1),(285,1),(311,1)}
        59:{1,4,6,7}:{(38,1),(76,1),(84,1),(215,1),(282,1)}
        60:{1,3,4,6}:{(39,1),(40,1),(77,1),(78,1),(85,1),(152,1),(154,1)}
        61:{2,5,6}:{(40,1),(79,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(80,1),(87,1),(88,1),(133,1),(152,1),(230,1),(285,1),(310,1),(311,1)}
        63:{2,4,5,6}:{(42,1),(43,1),(89,1),(90,1),(158,1),(235,1),(243,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(89,1),(91,1),(92,1),(102,1)}
        65:{1,4,5,7}:{(43,1),(45,1),(90,1),(92,1),(239,1),(242,1)}
        66:{1,3,6,7}:{(44,1),(45,1),(92,1),(94,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(51,1),(93,1),(94,1),(95,1),(96,1),(165,1),(295,1),(301,1),(314,1)}
        68:{1,3,5,6,7}:{(46,1),(52,1),(95,1),(96,1),(112,1),(166,1),(174,1),(188,1),(255,1)}
        69:{2,3,5,6}:{(47,1),(48,1),(97,1),(98,1),(180,1),(189,1),(243,1)}
        70:{1,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(247,1)}
        71:{2,3,4,5,7}:{(48,1),(53,1),(54,1),(91,1),(97,1),(100,1),(156,1),(176,1),(186,1),(240,1),(249,1),(251,1),(299,1),(300,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(50,1),(98,1),(101,1),(102,1),(188,1),(242,1)}
        73:{2,4,5,7}:{(49,1),(51,1),(99,1),(101,1),(102,1),(175,1)}
        74:{2,4,6,7}:{(50,1),(57,1),(94,1),(101,1),(104,1),(108,1),(160,1),(168,1),(175,1)}
        75:{3,6,7}:{(51,1),(102,1)}
        76:{2,4,6,7}:{(52,1),(59,1),(96,1),(105,1),(106,1),(175,1),(251,1),(253,1),(301,1)}
        77:{1,3,4,5}:{(53,1),(60,1),(107,1),(181,1),(193,1)}
        78:{1,3,4,7}:{(54,1),(55,1),(60,1),(108,1),(183,1),(185,1)}
        79:{2,5,7}:{(55,1),(57,1),(61,1),(108,1)}
        80:{1,3,5,7}:{(56,1),(58,1),(62,1),(102,1),(110,1),(111,1),(183,1),(300,1)}
        81:{1,2,6,7}:{(57,1),(109,1),(112,1),(302,1)}
        82:{2,3,6,7}:{(57,1),(58,1),(110,1),(112,1),(113,1),(259,1),(302,1)}
        83:{1,3,4,6,7}:{(58,1),(59,1),(105,1),(111,1),(113,1),(114,1),(187,1)}
        84:{1,4,5,7}:{(59,1),(106,1),(114,1),(115,1),(242,1)}
        85:{2,4,6}:{(60,1),(61,1),(107,1),(108,1),(117,1)}
        86:{1,2,5,6}:{(61,1),(109,1),(116,1),(118,1),(261,1),(302,1)}
        87:{2,3,5,6}:{(61,1),(62,1),(110,1),(117,1),(118,1),(119,1),(189,1),(190,1),(192,1),(259,1),(261,1),(302,1)}
        88:{1,3,4,6}:{(62,1),(111,1),(119,1),(120,1),(171,1),(247,1),(298,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(121,1),(122,1),(133,1)}
        90:{1,4,5,6}:{(63,1),(65,1),(122,1),(266,1),(273,1)}
        91:{2,3,4,7}:{(64,1),(121,1),(124,1),(137,1),(202,1),(268,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(66,1),(122,1),(124,1),(125,1)}
        93:{1,2,4,5,7}:{(65,1),(67,1),(73,1),(123,1),(125,1),(126,1),(130,1),(135,1),(199,1),(202,1),(205,1),(215,1),(271,1),(281,1),(307,1)}
        94:{2,6,7}:{(66,1),(125,1)}
        95:{1,3,6,7}:{(67,1),(75,1),(126,1),(128,1),(308,1),(311,1)}
        96:{1,4,6,7}:{(68,1),(76,1),(130,1),(215,1),(282,1)}
        97:{2,3,4,6}:{(69,1),(71,1),(131,1),(217,1),(227,1),(272,1),(274,1),(277,1),(311,1)}
        98:{1,3,5,6}:{(69,1),(70,1),(72,1),(131,1),(132,1),(133,1),(228,1),(273,1)}
        99:{2,4,5,6}:{(70,1),(73,1),(132,1),(133,1),(210,1)}
       100:{1,3,4,5,7}:{(71,1),(72,1),(77,1),(78,1),(124,1),(131,1),(134,1),(137,1),(194,1),(211,1),(212,1),(215,1),(226,1),(271,1),(278,1)}
       101:{2,5,7}:{(72,1),(74,1),(132,1)}
       102:{3,5,7}:{(73,1),(75,1),(133,1),(137,1)}
       103:{1,2,4,6,7}:{(74,1),(81,1),(127,1),(135,1),(138,1),(144,1),(149,1),(199,1),(204,1),(207,1),(215,1),(218,1)}
       104:{2,3,6,7}:{(74,1),(75,1),(136,1),(138,1),(145,1),(200,1),(208,1)}
       105:{3,4,6,7}:{(75,1),(76,1),(137,1),(140,1),(217,1),(280,1),(311,1)}
       106:{2,4,5,7}:{(76,1),(84,1),(130,1),(140,1),(141,1),(150,1),(205,1)}
       107:{2,4,5}:{(77,1),(85,1),(143,1)}
       108:{2,4,7}:{(78,1),(79,1),(85,1),(145,1)}
       109:{1,2,5,7}:{(79,1),(81,1),(86,1),(144,1),(146,1),(284,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(82,1),(87,1),(145,1),(146,1),(147,1),(150,1),(223,1),(284,1)}
       111:{1,3,4,7}:{(80,1),(88,1),(137,1),(147,1),(215,1),(280,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(146,1),(149,1),(285,1)}
       113:{2,4,6,7}:{(82,1),(83,1),(147,1),(149,1),(150,1),(227,1)}
       114:{1,3,5,7}:{(83,1),(84,1),(140,1),(150,1),(151,1)}
       115:{1,4,5,6}:{(84,1),(141,1),(151,1),(273,1),(282,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(142,1),(144,1),(152,1),(154,1),(229,1)}
       117:{2,3,6}:{(85,1),(143,1),(145,1),(152,1)}
       118:{1,3,5,6}:{(86,1),(87,1),(146,1),(152,1),(154,1),(228,1),(230,1),(285,1)}
       119:{2,4,6}:{(87,1),(88,1),(147,1),(154,1),(155,1)}
       120:{1,3,4,5}:{(88,1),(155,1),(211,1),(230,1),(278,1),(310,1)}
       121:{2,3,4,6}:{(89,1),(91,1),(156,1),(157,1),(171,1),(235,1),(288,1)}
       122:{1,3,5,6}:{(89,1),(90,1),(92,1),(157,1),(158,1)}
       123:{1,2,4,5,6}:{(90,1),(93,1),(99,1),(158,1),(159,1),(167,1),(169,1),(232,1),(235,1),(243,1),(247,1),(291,1),(295,1),(299,1),(301,1),(313,1),(314,1)}
       124:{1,3,4,7}:{(91,1),(92,1),(157,1),(160,1),(237,1),(239,1)}
       125:{2,5,7}:{(92,1),(94,1),(158,1),(160,1)}
       126:{1,3,5,7}:{(93,1),(95,1),(102,1),(159,1),(162,1),(163,1),(237,1),(300,1)}
       127:{1,2,6,7}:{(94,1),(161,1),(164,1),(314,1)}
       128:{2,3,6,7}:{(94,1),(95,1),(162,1),(164,1),(165,1),(294,1),(314,1)}
       129:{1,3,4,6,7}:{(95,1),(96,1),(105,1),(163,1),(165,1),(166,1),(241,1)}
       130:{1,4,5,7}:{(96,1),(106,1),(166,1),(167,1),(188,1)}
       131:{1,3,4,6}:{(97,1),(98,1),(100,1),(168,1),(171,1),(244,1),(247,1),(260,1),(295,1)}
       132:{2,5,6}:{(98,1),(101,1),(168,1)}
       133:{3,5,6}:{(99,1),(102,1),(171,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(107,1),(108,1),(160,1),(168,1),(173,1),(175,1),(231,1),(248,1)}
       135:{1,2,5,7}:{(101,1),(103,1),(169,1),(174,1),(188,1),(242,1),(254,1)}
       136:{2,3,5,7}:{(101,1),(102,1),(104,1),(170,1),(174,1),(175,1)}
       137:{3,4,7}:{(102,1),(171,1),(175,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(174,1),(177,1),(183,1),(237,1),(244,1)}
       139:{2,3,4,6,7}:{(104,1),(105,1),(113,1),(165,1),(175,1),(178,1),(179,1),(184,1),(238,1),(245,1),(253,1),(259,1),(294,1)}
       140:{3,5,7}:{(105,1),(106,1),(180,1)}
       141:{2,4,5,6}:{(106,1),(115,1),(167,1),(180,1),(189,1),(243,1),(253,1),(301,1)}
       142:{1,2,4,5}:{(107,1),(116,1),(181,1),(193,1),(256,1),(261,1)}
       143:{2,3,5}:{(107,1),(117,1),(181,1),(182,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(116,1),(183,1),(185,1),(257,1)}
       145:{2,3,7}:{(108,1),(117,1),(183,1)}
       146:{1,3,5,7}:{(109,1),(110,1),(112,1),(118,1),(183,1),(185,1),(188,1)}
       147:{2,4,7}:{(110,1),(111,1),(119,1),(185,1)}
       148:{1,3,4,5,7}:{(111,1),(114,1),(120,1),(176,1),(186,1),(187,1),(252,1),(258,1),(300,1)}
       149:{1,4,6,7}:{(112,1),(113,1),(185,1),(188,1),(260,1)}
       150:{2,5,7}:{(113,1),(114,1),(188,1),(189,1)}
       151:{1,3,5,6}:{(114,1),(115,1),(180,1),(187,1),(189,1)}
       152:{1,3,6}:{(116,1),(117,1),(181,1),(183,1),(190,1)}
       153:{2,3,4,6}:{(117,1),(119,1),(182,1),(184,1),(191,1),(192,1),(259,1),(298,1)}
       154:{1,4,6}:{(118,1),(119,1),(185,1),(193,1)}
       155:{2,4,5}:{(119,1),(120,1),(192,1),(193,1),(261,1)}
       156:{2,3,4,5}:{(121,1),(194,1),(211,1),(267,1),(303,1)}
       157:{1,3,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(264,1),(266,1)}
       158:{2,5,6}:{(122,1),(125,1),(195,1)}
       159:{1,3,5,6}:{(123,1),(126,1),(133,1),(197,1),(198,1),(264,1),(306,1),(308,1),(310,1),(311,1)}
       160:{2,4,7}:{(124,1),(125,1),(195,1),(200,1)}
       161:{1,2,5,7}:{(125,1),(127,1),(196,1),(199,1),(201,1),(307,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(128,1),(197,1),(200,1),(201,1),(202,1),(205,1),(268,1),(307,1)}
       163:{1,3,4,7}:{(126,1),(137,1),(198,1),(202,1),(215,1),(280,1)}
       164:{1,3,6,7}:{(127,1),(128,1),(201,1),(204,1),(308,1)}
       165:{2,4,6,7}:{(128,1),(129,1),(202,1),(204,1),(205,1),(272,1)}
       166:{1,3,5,7}:{(129,1),(130,1),(140,1),(205,1),(206,1)}
       167:{1,4,5,6}:{(130,1),(141,1),(206,1),(228,1),(282,1)}
       168:{2,4,6}:{(131,1),(132,1),(134,1),(208,1)}
       169:{1,2,5,6}:{(132,1),(135,1),(207,1),(209,1),(228,1),(273,1),(283,1),(309,1)}
       170:{2,3,5,6}:{(132,1),(133,1),(136,1),(208,1),(209,1),(210,1),(276,1)}
       171:{3,4,6}:{(133,1),(137,1),(210,1),(211,1)}
       172:{1,2,4,5,7}:{(134,1),(135,1),(142,1),(144,1),(199,1),(207,1),(212,1),(215,1),(226,1),(262,1),(271,1),(278,1),(279,1),(281,1),(284,1),(307,1),(309,1)}
       173:{2,3,5,7}:{(134,1),(143,1),(145,1),(200,1),(208,1),(212,1),(213,1),(263,1),(276,1)}
       174:{1,3,5,7}:{(135,1),(136,1),(138,1),(209,1),(214,1),(215,1)}
       175:{2,4,7}:{(136,1),(137,1),(210,1),(215,1)}
       176:{3,4,5,7}:{(137,1),(140,1),(211,1),(216,1),(217,1)}
       177:{2,3,6,7}:{(138,1),(214,1),(218,1),(223,1),(268,1),(274,1),(311,1)}
       178:{1,3,4,6,7}:{(138,1),(139,1),(149,1),(204,1),(215,1),(218,1),(219,1),(224,1),(269,1),(275,1),(280,1),(282,1),(285,1),(308,1),(311,1)}
       179:{2,3,5,7}:{(139,1),(140,1),(150,1),(205,1),(216,1),(219,1),(220,1),(276,1)}
       180:{3,5,6}:{(140,1),(141,1),(217,1),(311,1)}
       181:{1,3,5}:{(142,1),(143,1),(152,1),(221,1),(222,1)}
       182:{2,3,4}:{(143,1),(222,1)}
       183:{1,3,7}:{(144,1),(145,1),(152,1),(223,1)}
       184:{2,3,4,7}:{(145,1),(147,1),(153,1),(224,1),(225,1),(280,1)}
       185:{1,4,7}:{(146,1),(147,1),(154,1)}
       186:{2,4,5,7}:{(147,1),(148,1),(150,1),(155,1),(225,1),(226,1),(227,1),(284,1)}
       187:{1,3,4,6}:{(148,1),(151,1),(217,1),(227,1),(282,1),(285,1),(311,1)}
       188:{1,5,7}:{(149,1),(150,1),(228,1)}
       189:{2,5,6}:{(150,1),(151,1),(227,1),(228,1)}
       190:{2,3,6}:{(152,1),(221,1),(223,1),(229,1)}
       191:{1,3,4,6}:{(152,1),(153,1),(154,1),(222,1),(224,1),(229,1),(230,1),(285,1)}
       192:{2,3,5}:{(153,1),(155,1),(230,1),(310,1)}
       193:{1,4,5}:{(154,1),(155,1),(230,1)}
       194:{1,3,4,5}:{(156,1),(157,1),(231,1),(286,1),(291,1)}
       195:{2,4,6}:{(157,1),(158,1),(160,1),(231,1),(233,1)}
       196:{1,2,5,6}:{(158,1),(161,1),(232,1),(234,1),(313,1),(314,1)}
       197:{2,3,5,6}:{(158,1),(159,1),(162,1),(233,1),(234,1),(235,1),(243,1),(288,1),(290,1),(294,1),(313,1),(314,1)}
       198:{1,3,4,6}:{(159,1),(163,1),(171,1),(235,1),(236,1),(247,1),(298,1)}
       199:{1,2,4,7}:{(160,1),(161,1),(232,1),(237,1),(239,1),(292,1)}
       200:{2,3,7}:{(160,1),(233,1),(237,1)}
       201:{1,3,5,7}:{(161,1),(162,1),(164,1),(234,1),(237,1),(239,1),(242,1)}
       202:{2,4,7}:{(162,1),(163,1),(235,1),(239,1)}
       203:{1,3,4,5,7}:{(163,1),(166,1),(176,1),(236,1),(240,1),(241,1),(252,1),(293,1),(300,1)}
       204:{1,4,6,7}:{(164,1),(165,1),(239,1),(242,1),(295,1)}
       205:{2,5,7}:{(165,1),(166,1),(242,1),(243,1)}
       206:{1,3,5,6}:{(166,1),(167,1),(180,1),(241,1),(243,1)}
       207:{1,2,4,6}:{(168,1),(169,1),(172,1),(244,1),(247,1),(260,1),(295,1),(296,1),(301,1),(302,1),(314,1)}
       208:{2,3,6}:{(168,1),(173,1),(244,1)}
       209:{1,3,5,6}:{(169,1),(170,1),(174,1),(244,1),(246,1),(247,1),(297,1)}
       210:{2,4,6}:{(170,1),(171,1),(175,1),(247,1),(248,1)}
       211:{3,4,5}:{(171,1),(248,1)}
       212:{1,3,5,7}:{(172,1),(173,1),(181,1),(183,1),(237,1),(244,1),(249,1),(250,1),(286,1),(297,1),(300,1)}
       213:{2,3,4,7}:{(173,1),(175,1),(182,1),(245,1),(250,1),(287,1)}
       214:{2,3,5,7}:{(174,1),(177,1),(246,1),(251,1),(254,1),(300,1)}
       215:{1,4,7}:{(174,1),(175,1),(247,1),(251,1)}
       216:{2,4,5,7}:{(175,1),(176,1),(179,1),(248,1),(252,1),(253,1)}
       217:{3,4,6}:{(176,1),(180,1),(253,1)}
       218:{2,4,6,7}:{(177,1),(178,1),(251,1),(254,1),(257,1),(292,1),(296,1),(301,1),(302,1),(314,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(188,1),(242,1),(252,1),(254,1),(255,1),(297,1),(300,1)}
       220:{2,3,5,6}:{(179,1),(180,1),(189,1),(243,1),(253,1),(255,1),(259,1),(294,1)}
       221:{2,3,5}:{(181,1),(190,1),(256,1),(261,1)}
       222:{1,3,4}:{(181,1),(182,1),(256,1)}
       223:{2,3,7}:{(183,1),(190,1),(257,1)}
       224:{1,3,4,7}:{(183,1),(184,1),(185,1),(191,1),(257,1),(258,1)}
       225:{2,3,5,7}:{(184,1),(186,1),(192,1),(258,1),(259,1),(300,1)}
       226:{1,4,5,7}:{(185,1),(186,1),(188,1),(193,1),(258,1),(260,1)}
       227:{2,4,6}:{(186,1),(187,1),(189,1),(259,1),(260,1),(302,1)}
       228:{1,5,6}:{(188,1),(189,1),(260,1)}
       229:{2,4,6}:{(190,1),(191,1),(256,1),(257,1),(261,1),(302,1)}
       230:{1,3,5}:{(191,1),(192,1),(193,1),(261,1)}
       231:{2,4,5}:{(194,1),(195,1),(263,1)}
       232:{1,2,4,6}:{(195,1),(196,1),(199,1),(262,1),(264,1),(266,1),(305,1)}
       233:{2,3,6}:{(195,1),(200,1),(263,1),(264,1)}
       234:{1,3,5,6}:{(196,1),(197,1),(201,1),(264,1),(266,1),(273,1),(306,1),(308,1)}
       235:{2,4,6}:{(197,1),(198,1),(202,1),(266,1),(267,1)}
       236:{1,3,4,5}:{(198,1),(211,1),(267,1),(278,1),(306,1),(310,1)}
       237:{1,3,7}:{(199,1),(200,1),(264,1),(268,1)}
       238:{2,3,4,7}:{(200,1),(202,1),(265,1),(269,1),(270,1),(280,1)}
       239:{1,4,7}:{(201,1),(202,1),(266,1)}
       240:{2,4,5,7}:{(202,1),(203,1),(205,1),(267,1),(270,1),(271,1),(272,1),(307,1)}
       241:{1,3,4,6}:{(203,1),(206,1),(217,1),(272,1),(282,1),(308,1),(311,1)}
       242:{1,5,7}:{(204,1),(205,1),(273,1)}
       243:{2,5,6}:{(205,1),(206,1),(272,1),(273,1)}
       244:{1,3,6}:{(207,1),(208,1),(212,1),(274,1),(311,1)}
       245:{2,3,4,6}:{(208,1),(210,1),(213,1),(275,1),(276,1)}
       246:{2,3,5,6}:{(209,1),(214,1),(274,1),(277,1),(283,1),(309,1),(310,1),(311,1)}
       247:{1,4,6}:{(209,1),(210,1),(215,1),(277,1),(278,1)}
       248:{2,4,5}:{(210,1),(211,1),(276,1),(278,1)}
       249:{2,3,5,7}:{(212,1),(221,1),(223,1),(268,1),(274,1),(279,1),(284,1),(303,1),(307,1),(309,1)}
       250:{1,3,4,7}:{(212,1),(213,1),(215,1),(222,1),(275,1),(279,1),(280,1),(304,1)}
       251:{2,4,7}:{(214,1),(215,1),(277,1),(280,1)}
       252:{1,4,5,7}:{(215,1),(216,1),(219,1),(278,1),(281,1),(282,1)}
       253:{2,4,6}:{(216,1),(217,1),(220,1),(282,1)}
       254:{2,5,7}:{(218,1),(219,1),(283,1),(309,1)}
       255:{1,3,5,6}:{(219,1),(220,1),(228,1),(273,1),(282,1),(283,1),(285,1),(308,1),(311,1)}
       256:{2,4}:{(221,1),(222,1)}
       257:{2,4,7}:{(223,1),(224,1),(229,1),(284,1)}
       258:{1,3,5,7}:{(224,1),(225,1),(226,1),(230,1),(284,1),(285,1)}
       259:{2,3,6}:{(225,1),(227,1),(285,1),(311,1)}
       260:{1,4,6}:{(226,1),(227,1),(228,1),(285,1)}
       261:{2,5}:{(229,1),(230,1)}
       262:{1,2,4,5}:{(231,1),(232,1),(286,1),(291,1),(312,1),(313,1)}
       263:{2,3,5}:{(231,1),(233,1),(286,1),(287,1)}
       264:{1,3,6}:{(232,1),(233,1),(237,1),(286,1),(288,1)}
       265:{2,3,4,6}:{(233,1),(235,1),(238,1),(287,1),(289,1),(290,1),(294,1),(298,1)}
       266:{1,4,6}:{(234,1),(235,1),(239,1),(291,1)}
       267:{2,4,5}:{(235,1),(236,1),(290,1),(291,1),(313,1)}
       268:{2,3,7}:{(237,1),(288,1),(292,1)}
       269:{1,3,4,7}:{(237,1),(238,1),(239,1),(289,1),(292,1),(293,1)}
       270:{2,3,5,7}:{(238,1),(240,1),(290,1),(293,1),(294,1),(300,1)}
       271:{1,4,5,7}:{(239,1),(240,1),(242,1),(291,1),(293,1),(295,1)}
       272:{2,4,6}:{(240,1),(241,1),(243,1),(294,1),(295,1),(314,1)}
       273:{1,5,6}:{(242,1),(243,1),(295,1)}
       274:{2,3,6}:{(244,1),(249,1),(296,1),(302,1),(314,1)}
       275:{1,3,4,6}:{(244,1),(245,1),(247,1),(250,1),(296,1),(297,1),(298,1)}
       276:{2,3,5}:{(245,1),(248,1),(297,1)}
       277:{2,4,6}:{(246,1),(247,1),(251,1),(298,1),(299,1)}
       278:{1,4,5}:{(247,1),(248,1),(297,1),(299,1)}
       279:{2,4,7}:{(249,1),(250,1),(256,1),(296,1),(312,1)}
       280:{3,4,7}:{(251,1),(298,1),(300,1)}
       281:{2,4,5,7}:{(251,1),(252,1),(254,1),(299,1),(300,1),(301,1)}
       282:{1,4,6}:{(252,1),(253,1),(255,1),(301,1)}
       283:{2,5,6}:{(254,1),(255,1),(301,1),(302,1),(314,1)}
       284:{2,5,7}:{(257,1),(258,1),(261,1),(302,1)}
       285:{1,3,6}:{(258,1),(259,1),(260,1),(302,1)}
       286:{1,3,5}:{(262,1),(263,1),(264,1),(303,1),(304,1)}
       287:{2,3,4}:{(263,1),(304,1)}
       288:{2,3,6}:{(264,1),(268,1),(303,1),(305,1)}
       289:{1,3,4,6}:{(264,1),(265,1),(266,1),(269,1),(304,1),(305,1),(306,1),(308,1)}
       290:{2,3,5}:{(265,1),(267,1),(306,1),(310,1)}
       291:{1,4,5}:{(266,1),(267,1),(306,1)}
       292:{2,4,7}:{(268,1),(269,1),(305,1),(307,1)}
       293:{1,3,5,7}:{(269,1),(270,1),(271,1),(306,1),(307,1),(308,1)}
       294:{2,3,6}:{(270,1),(272,1),(308,1),(311,1)}
       295:{1,4,6}:{(271,1),(272,1),(273,1),(308,1)}
       296:{2,4,6}:{(274,1),(275,1),(279,1),(309,1)}
       297:{1,3,5}:{(275,1),(276,1),(278,1),(309,1),(310,1)}
       298:{3,4,6}:{(277,1),(280,1),(310,1),(311,1)}
       299:{2,4,5}:{(277,1),(278,1),(309,1),(310,1)}
       300:{3,5,7}:{(280,1),(281,1),(310,1),(311,1)}
       301:{2,4,6}:{(281,1),(282,1),(283,1),(311,1)}
       302:{2,6}:{(284,1),(285,1)}
       303:{2,3,5}:{(286,1),(288,1),(312,1),(313,1)}
       304:{1,3,4}:{(286,1),(287,1),(312,1)}
       305:{2,4,6}:{(288,1),(289,1),(292,1),(312,1),(313,1),(314,1)}
       306:{1,3,5}:{(289,1),(290,1),(291,1),(313,1)}
       307:{2,5,7}:{(292,1),(293,1),(313,1),(314,1)}
       308:{1,3,6}:{(293,1),(294,1),(295,1),(314,1)}
       309:{2,5}:{(296,1),(297,1)}
       310:{3,5}:{(298,1),(299,1)}
       311:{3,6}:{(300,1),(301,1)}
       312:{2,4}:{(303,1),(304,1)}
       313:{2,5}:{(305,1),(306,1)}
       314:{2,6}:{(307,1),(308,1)}

 873 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(36,1),(38,1),(43,1),(44,1),(73,1),(75,1),(86,1),(140,1),(150,1),(209,1),(213,1),(224,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(24,1),(104,1),(121,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(23,1),(28,1),(63,1),(109,1),(119,1),(183,1),(253,1)}
         3:{1,2,4,6,7}:{(2,1),(8,1),(9,1),(32,1),(36,1),(90,1),(141,1),(213,1)}
         4:{1,3,4,7}:{(1,1),(11,1),(12,1),(36,1),(89,1),(209,1),(219,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(43,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(155,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(9,1),(15,1),(43,1),(83,1),(95,1),(140,1),(146,1),(233,1)}
         8:{1,3,6,7}:{(3,1),(6,1),(18,1),(19,1),(244,1),(253,1)}
         9:{1,2,5,7}:{(3,1),(7,1),(19,1),(55,1),(125,1),(178,1),(254,1)}
        10:{1,3,4,5,7}:{(4,1),(20,1),(21,1),(24,1),(48,1),(56,1),(61,1),(114,1),(115,1),(121,1),(127,1),(179,1),(180,1),(186,1),(197,1),(244,1),(256,1),(290,1)}
        11:{2,4,7}:{(4,1),(5,1),(22,1),(23,1),(185,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(23,1),(24,1),(28,1),(72,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(66,1),(68,1),(132,1)}
        14:{2,3,6}:{(5,1),(6,1),(23,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(19,1),(24,1),(27,1),(28,1),(175,1),(202,1),(203,1),(253,1)}
        16:{2,3,4,7}:{(11,1),(29,1),(30,1),(31,1),(78,1),(89,1),(143,1),(144,1),(158,1),(219,1),(270,1),(271,1),(297,1)}
        17:{1,3,4,6,7}:{(8,1),(12,1),(32,1),(33,1),(36,1),(84,1),(89,1),(155,1)}
        18:{2,3,6,7}:{(8,1),(14,1),(32,1),(34,1),(35,1),(141,1),(155,1),(223,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(15,1),(35,1),(36,1),(224,1),(225,1)}
        20:{2,4,5,7}:{(10,1),(11,1),(29,1),(38,1),(39,1),(43,1),(75,1),(81,1),(91,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        21:{1,3,4,6}:{(10,1),(39,1),(40,1),(76,1),(84,1),(147,1),(148,1),(155,1),(217,1),(278,1),(303,1)}
        22:{1,4,7}:{(11,1),(13,1),(42,1),(166,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(42,1),(43,1)}
        24:{1,3,5}:{(12,1),(43,1),(44,1),(100,1)}
        25:{1,2,5,7}:{(13,1),(41,1),(45,1),(75,1),(98,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(42,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(35,1),(43,1),(46,1),(47,1),(83,1),(100,1),(146,1),(149,1),(155,1),(168,1),(169,1),(217,1),(223,1)}
        28:{1,4,6}:{(15,1),(36,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(20,1),(48,1),(49,1),(52,1),(121,1),(186,1),(191,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(22,1),(48,1),(50,1),(51,1),(66,1),(104,1),(172,1),(179,1),(193,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(23,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(23,1),(54,1),(55,1),(59,1),(119,1)}
        33:{1,3,5,7}:{(17,1),(24,1),(53,1),(55,1),(56,1),(121,1)}
        34:{1,3,6,7}:{(18,1),(26,1),(54,1),(57,1),(58,1),(190,1)}
        35:{2,3,5,7}:{(18,1),(19,1),(27,1),(55,1),(58,1),(59,1),(121,1),(178,1),(191,1),(192,1),(244,1)}
        36:{1,4,7}:{(19,1),(28,1),(59,1)}
        37:{1,3,4,6,7}:{(21,1),(60,1),(61,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        38:{1,4,5,7}:{(20,1),(22,1),(48,1),(63,1),(68,1),(114,1),(125,1),(172,1),(179,1),(237,1)}
        39:{2,4,6}:{(20,1),(21,1),(49,1),(63,1),(64,1),(109,1)}
        40:{1,3,5,6}:{(21,1),(24,1),(61,1),(64,1),(65,1),(131,1),(197,1)}
        41:{1,2,4,7}:{(22,1),(25,1),(50,1),(66,1),(67,1),(308,1),(309,1)}
        42:{1,4,6}:{(22,1),(23,1),(26,1),(68,1)}
        43:{2,5}:{(23,1),(24,1),(68,1)}
        44:{1,4,5}:{(24,1),(28,1),(69,1),(202,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(58,1),(68,1),(70,1),(71,1),(118,1),(132,1),(134,1),(135,1),(190,1)}
        47:{2,4,6}:{(27,1),(28,1),(59,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(38,1),(75,1),(76,1),(80,1),(224,1),(313,1)}
        49:{2,3,6}:{(29,1),(39,1),(76,1),(155,1),(217,1),(223,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(42,1),(76,1),(79,1),(80,1),(97,1),(139,1),(147,1),(166,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(43,1),(80,1),(81,1),(100,1),(168,1),(215,1),(273,1),(299,1)}
        53:{1,3,5,6}:{(33,1),(83,1),(84,1),(155,1)}
        54:{1,4,6,7}:{(32,1),(34,1),(42,1),(85,1),(88,1),(154,1)}
        55:{2,5,7}:{(32,1),(33,1),(43,1),(83,1),(85,1)}
        56:{1,4,5,7}:{(33,1),(36,1),(44,1),(84,1),(86,1),(224,1)}
        57:{1,2,6,7}:{(34,1),(45,1),(87,1),(141,1),(223,1),(277,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(46,1),(85,1),(87,1),(88,1),(157,1)}
        59:{2,4,7}:{(35,1),(36,1),(47,1),(88,1),(89,1)}
        60:{2,4,6,7}:{(37,1),(39,1),(74,1),(90,1),(91,1),(141,1),(143,1),(213,1)}
        61:{1,3,5,7}:{(37,1),(40,1),(91,1),(92,1),(162,1)}
        62:{1,2,4,5,7}:{(38,1),(41,1),(75,1),(93,1),(94,1),(98,1),(144,1),(150,1),(160,1),(166,1),(213,1),(215,1),(227,1),(229,1),(269,1),(313,1)}
        63:{1,4,6}:{(38,1),(39,1),(76,1),(95,1)}
        64:{2,5,6}:{(39,1),(40,1),(43,1),(91,1),(95,1),(215,1)}
        65:{1,4,5,6}:{(40,1),(44,1),(84,1),(92,1),(96,1),(147,1),(229,1),(230,1),(278,1)}
        66:{1,3,7}:{(41,1),(78,1),(97,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(45,1),(79,1),(97,1),(98,1),(166,1),(300,1),(301,1),(302,1)}
        68:{1,5}:{(42,1),(43,1)}
        69:{2,4,5}:{(43,1),(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(87,1),(98,1),(101,1),(146,1),(168,1),(223,1),(230,1)}
        71:{1,4,6}:{(46,1),(47,1),(88,1),(99,1),(166,1)}
        72:{3,4,6}:{(47,1),(89,1),(100,1),(155,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(193,1),(254,1)}
        74:{2,3,6,7}:{(49,1),(60,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(63,1),(109,1),(253,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(64,1),(107,1),(110,1),(111,1),(131,1),(199,1),(248,1)}
        78:{2,3,7}:{(50,1),(66,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(68,1),(113,1),(114,1),(186,1),(202,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(53,1),(61,1),(116,1),(117,1),(189,1),(255,1)}
        83:{2,5,6}:{(53,1),(55,1),(118,1),(119,1)}
        84:{1,4,6}:{(53,1),(56,1),(119,1),(253,1)}
        85:{1,5,7}:{(54,1),(55,1),(68,1),(118,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(59,1),(69,1),(119,1),(120,1),(121,1),(191,1)}
        87:{1,2,5,7}:{(57,1),(58,1),(70,1),(122,1),(178,1),(191,1),(257,1)}
        88:{1,4,7}:{(58,1),(59,1),(71,1)}
        89:{3,4,7}:{(59,1),(72,1),(121,1),(244,1)}
        90:{1,4,6,7}:{(60,1),(63,1),(106,1),(125,1),(179,1)}
        91:{2,5,7}:{(60,1),(61,1),(64,1),(125,1)}
        92:{1,4,5,7}:{(61,1),(65,1),(117,1),(126,1),(179,1),(257,1)}
        93:{1,3,5,7}:{(62,1),(66,1),(108,1),(127,1),(128,1),(132,1),(186,1),(197,1),(244,1),(290,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(109,1),(128,1),(129,1),(181,1),(183,1),(198,1),(289,1),(314,1)}
        95:{1,5,6}:{(63,1),(64,1),(68,1),(125,1),(237,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(69,1),(111,1),(119,1),(126,1),(130,1),(131,1),(183,1),(199,1),(246,1),(289,1)}
        97:{1,3,6}:{(66,1),(67,1),(112,1),(132,1),(311,1)}
        98:{1,2,5}:{(67,1),(68,1),(113,1),(132,1),(310,1)}
        99:{1,4,5}:{(68,1),(69,1),(71,1),(134,1)}
       100:{3,5}:{(69,1),(72,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(122,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(123,1),(134,1),(135,1),(136,1),(190,1),(200,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(224,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(90,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(91,1),(142,1),(143,1),(162,1),(228,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(93,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(95,1),(142,1),(146,1),(147,1),(217,1),(230,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(97,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(166,1),(209,1)}
       115:{3,4,5}:{(81,1),(100,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(83,1),(91,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(84,1),(92,1),(153,1),(277,1),(278,1)}
       118:{1,5,6}:{(83,1),(85,1),(154,1)}
       119:{2,4,6}:{(83,1),(84,1),(86,1),(154,1),(155,1),(223,1)}
       120:{1,4,5,7}:{(85,1),(86,1),(88,1),(99,1),(154,1),(156,1)}
       121:{3,5,7}:{(86,1),(89,1),(100,1),(155,1)}
       122:{1,2,4,7}:{(87,1),(88,1),(101,1),(157,1),(158,1),(213,1),(272,1),(304,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(102,1),(156,1),(157,1),(158,1)}
       124:{1,2,4,6,7}:{(90,1),(94,1),(141,1),(159,1),(160,1),(211,1),(213,1),(227,1)}
       125:{1,5,7}:{(90,1),(91,1),(95,1)}
       126:{2,4,5,7}:{(91,1),(92,1),(96,1),(143,1),(153,1),(161,1),(162,1),(213,1),(228,1)}
       127:{1,3,4,7}:{(93,1),(144,1),(163,1),(166,1),(219,1),(227,1),(270,1)}
       128:{1,3,6}:{(93,1),(94,1),(145,1),(217,1),(303,1)}
       129:{1,2,5,6}:{(94,1),(95,1),(98,1),(146,1),(160,1),(164,1),(215,1),(268,1),(301,1)}
       130:{1,4,5,6}:{(95,1),(96,1),(99,1),(147,1),(154,1),(161,1),(165,1),(263,1),(295,1)}
       131:{3,5,6}:{(96,1),(100,1),(148,1),(155,1),(162,1),(217,1),(273,1),(303,1)}
       132:{1,3,5}:{(97,1),(98,1),(149,1),(166,1)}
       133:{1,2,4,5}:{(98,1),(99,1),(101,1),(150,1),(166,1),(167,1),(168,1),(221,1),(231,1),(276,1),(302,1)}
       134:{1,3,5}:{(99,1),(100,1),(102,1),(168,1)}
       135:{1,3,6}:{(101,1),(157,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(158,1),(168,1),(169,1),(170,1),(223,1),(231,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(253,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(202,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(125,1),(178,1),(179,1),(244,1),(257,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(127,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(128,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(131,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(132,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(134,1),(184,1),(186,1),(187,1),(200,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(118,1),(125,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(119,1),(126,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,4,6}:{(118,1),(119,1),(120,1),(190,1)}
       155:{3,6}:{(119,1),(121,1)}
       156:{1,3,5,7}:{(120,1),(121,1),(123,1),(134,1),(190,1),(191,1)}
       157:{1,3,7}:{(122,1),(135,1),(192,1),(244,1)}
       158:{2,4,7}:{(123,1),(136,1),(191,1),(192,1),(193,1)}
       159:{1,3,6,7}:{(124,1),(128,1),(177,1),(195,1),(244,1),(314,1)}
       160:{1,2,5,7}:{(124,1),(125,1),(129,1),(178,1),(195,1),(242,1),(309,1)}
       161:{1,4,5,7}:{(125,1),(126,1),(130,1),(179,1),(188,1),(196,1)}
       162:{3,5,7}:{(126,1),(131,1),(180,1),(189,1),(244,1)}
       163:{1,3,4,6}:{(127,1),(128,1),(181,1),(197,1),(198,1),(247,1)}
       164:{1,3,5,6}:{(128,1),(129,1),(132,1),(182,1),(195,1),(197,1),(198,1),(286,1),(310,1),(314,1)}
       165:{1,3,5,6}:{(130,1),(131,1),(134,1),(184,1),(190,1),(196,1),(199,1),(284,1),(306,1)}
       166:{1,4}:{(132,1),(185,1)}
       167:{1,3,5}:{(133,1),(135,1),(186,1),(200,1),(201,1),(311,1)}
       168:{2,5}:{(134,1),(136,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(192,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(193,1),(202,1),(203,1),(253,1),(258,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(230,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(159,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(162,1)}
       181:{2,4,6}:{(144,1),(145,1),(163,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(164,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(165,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(166,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(168,1),(218,1),(220,1),(221,1),(231,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(154,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(155,1),(162,1),(303,1)}
       190:{1,3,6}:{(154,1),(155,1),(156,1),(223,1)}
       191:{2,5,7}:{(156,1),(158,1),(168,1),(223,1),(224,1)}
       192:{2,3,7}:{(157,1),(158,1),(169,1),(225,1),(304,1)}
       193:{1,4,7}:{(158,1),(170,1),(224,1),(225,1)}
       194:{1,3,4,6,7}:{(159,1),(163,1),(211,1),(226,1),(227,1),(270,1),(278,1),(303,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(164,1),(212,1),(227,1),(298,1),(313,1)}
       196:{1,3,5,7}:{(161,1),(162,1),(165,1),(214,1),(222,1),(228,1)}
       197:{1,3,5}:{(163,1),(215,1),(229,1),(273,1)}
       198:{1,4,6}:{(164,1),(166,1),(216,1),(227,1),(229,1)}
       199:{2,5,6}:{(165,1),(168,1),(218,1),(223,1),(228,1),(230,1),(299,1),(312,1)}
       200:{1,3,4}:{(166,1),(167,1),(219,1),(231,1)}
       201:{2,3,5}:{(167,1),(168,1),(169,1),(231,1),(232,1),(276,1),(305,1)}
       202:{1,5}:{(168,1),(170,1)}
       203:{1,3,6}:{(169,1),(170,1),(225,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(257,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(194,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(195,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(196,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(197,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(198,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(199,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(202,1),(249,1),(251,1),(258,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(190,1),(196,1),(252,1),(306,1)}
       223:{2,6}:{(190,1),(191,1),(253,1)}
       224:{1,5,7}:{(191,1),(193,1),(202,1),(253,1)}
       225:{1,3,7}:{(192,1),(193,1),(203,1),(254,1)}
       226:{1,3,5,7}:{(194,1),(197,1),(242,1),(255,1),(256,1),(290,1)}
       227:{1,4,7}:{(195,1),(198,1),(243,1)}
       228:{2,5,7}:{(196,1),(199,1),(245,1),(252,1),(257,1)}
       229:{1,4,5}:{(197,1),(198,1),(246,1),(310,1)}
       230:{1,5,6}:{(199,1),(202,1),(249,1),(253,1),(257,1),(310,1),(314,1)}
       231:{2,4}:{(200,1),(201,1),(258,1)}
       232:{1,3,5}:{(201,1),(202,1),(203,1),(258,1),(259,1),(294,1)}
       233:{1,2,6}:{(203,1),(254,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(226,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(227,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(228,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(229,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(230,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(231,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(223,1),(228,1),(277,1),(312,1)}
       253:{1,6}:{(223,1),(224,1)}
       254:{1,2,7}:{(225,1),(233,1),(304,1)}
       255:{1,3,5,6}:{(226,1),(268,1),(278,1),(303,1)}
       256:{1,4,5,7}:{(226,1),(227,1),(229,1),(269,1),(278,1),(313,1)}
       257:{1,5,7}:{(228,1),(230,1),(272,1),(277,1)}
       258:{1,4}:{(231,1),(232,1)}
       259:{1,2,5}:{(232,1),(233,1),(276,1),(279,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(255,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(256,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(257,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(258,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(253,1),(257,1),(314,1)}
       278:{1,4,6}:{(255,1),(256,1),(289,1),(314,1)}
       279:{1,2,4}:{(258,1),(259,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 874 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 875 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 876 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(75,1),(82,1),(125,1),(134,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(51,1),(96,1),(105,1),(154,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(110,1),(161,1),(165,1)}
         3:{1,2,5,6,7}:{(8,1),(9,1),(44,1),(69,1),(85,1),(122,1),(134,1)}
         4:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(15,1),(32,1),(34,1),(38,1),(69,1),(77,1),(134,1),(136,1),(188,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(133,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(13,1),(14,1),(38,1),(42,1),(84,1),(125,1),(135,1),(140,1),(147,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(14,1),(15,1),(137,1),(188,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(16,1),(18,1),(27,1),(46,1),(59,1),(105,1),(114,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(47,1),(150,1),(161,1),(201,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(104,1),(161,1),(164,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(96,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,2,4,5,6}:{(6,1),(21,1),(24,1),(57,1),(62,1),(110,1),(116,1),(151,1),(161,1),(165,1),(171,1),(173,1),(203,1),(213,1),(240,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(24,1),(25,1),(26,1),(163,1),(175,1)}
        15:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(109,1),(165,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(28,1),(133,1),(142,1)}
        17:{1,2,4,5,7}:{(9,1),(28,1),(30,1),(31,1),(69,1),(73,1),(85,1),(124,1),(135,1),(142,1),(179,1),(186,1)}
        18:{1,3,6,7}:{(9,1),(31,1),(32,1),(176,1),(188,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(28,1),(33,1),(34,1),(38,1),(69,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(76,1),(188,1),(190,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(122,1),(133,1),(194,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(15,1),(38,1),(39,1),(42,1),(81,1)}
        24:{1,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(137,1),(143,1),(188,1),(200,1),(230,1)}
        25:{1,3,4,7}:{(14,1),(40,1),(42,1),(181,1),(190,1)}
        26:{2,3,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(43,1),(140,1),(148,1)}
        27:{1,3,6,7}:{(15,1),(39,1),(43,1),(44,1),(137,1)}
        28:{1,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(59,1)}
        29:{1,3,4,6,7}:{(16,1),(18,1),(20,1),(46,1),(47,1),(49,1),(93,1)}
        30:{1,2,4,5,6}:{(17,1),(45,1),(48,1),(94,1),(99,1),(111,1),(150,1),(156,1),(161,1),(167,1),(201,1),(207,1),(209,1),(213,1),(244,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(48,1),(49,1),(50,1),(163,1),(211,1)}
        32:{2,3,6,7}:{(18,1),(47,1),(50,1),(51,1),(149,1),(201,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(45,1),(52,1),(57,1),(94,1),(104,1),(161,1),(213,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(47,1),(54,1),(55,1),(64,1),(101,1),(104,1),(108,1),(109,1),(149,1),(164,1),(212,1),(215,1),(235,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(216,1)}
        37:{1,3,4,5,7}:{(22,1),(25,1),(53,1),(56,1),(58,1),(61,1),(106,1),(112,1),(163,1),(170,1),(216,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(65,1),(110,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(203,1),(212,1)}
        41:{2,3,5,6}:{(24,1),(26,1),(57,1),(62,1),(63,1),(109,1),(115,1),(165,1),(171,1),(174,1)}
        42:{2,4,7}:{(25,1),(26,1),(62,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(63,1),(65,1),(66,1),(120,1)}
        44:{1,2,6,7}:{(27,1),(66,1),(165,1)}
        45:{1,4,5,6}:{(28,1),(33,1),(67,1),(82,1),(133,1),(223,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(34,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(29,1),(32,1),(69,1),(70,1),(73,1),(121,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(71,1),(72,1),(176,1),(182,1),(188,1),(229,1),(230,1)}
        49:{1,3,4,7}:{(31,1),(71,1),(73,1),(142,1),(190,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(69,1),(72,1),(73,1),(74,1),(179,1),(187,1)}
        51:{1,3,6,7}:{(32,1),(70,1),(74,1),(75,1),(176,1)}
        52:{3,5,6}:{(33,1),(34,1),(76,1),(188,1),(230,1)}
        53:{3,4,5,7}:{(34,1),(76,1),(78,1),(190,1),(230,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(78,1),(79,1),(230,1),(232,1),(242,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(70,1),(79,1),(80,1),(86,1),(91,1),(126,1),(131,1),(133,1),(137,1),(142,1),(176,1),(181,1),(188,1),(190,1),(193,1),(222,1),(231,1),(241,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(76,1),(81,1),(133,1),(137,1),(188,1)}
        57:{2,5,6}:{(36,1),(38,1),(81,1),(82,1),(232,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(81,1),(83,1),(84,1),(87,1),(140,1),(196,1),(232,1)}
        59:{1,5,7}:{(38,1),(39,1),(82,1)}
        60:{1,2,4,6,7}:{(39,1),(44,1),(80,1),(85,1),(86,1),(92,1),(138,1),(142,1),(186,1),(220,1),(241,1)}
        61:{1,3,4,5}:{(40,1),(87,1),(143,1),(199,1),(223,1),(230,1)}
        62:{2,4,6}:{(40,1),(41,1),(42,1),(87,1),(89,1)}
        63:{1,3,5,6}:{(41,1),(43,1),(82,1),(89,1),(90,1),(137,1),(143,1),(146,1)}
        64:{2,3,4,7}:{(42,1),(83,1),(88,1),(91,1),(148,1),(190,1),(196,1)}
        65:{1,4,7}:{(42,1),(43,1),(89,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(90,1),(92,1),(140,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(52,1),(93,1),(94,1),(236,1)}
        68:{1,3,4,5,7}:{(46,1),(49,1),(53,1),(93,1),(95,1),(98,1),(106,1),(152,1),(163,1),(206,1),(236,1)}
        69:{2,5,7}:{(46,1),(47,1),(94,1),(96,1)}
        70:{1,4,6,7}:{(47,1),(51,1),(96,1),(102,1),(150,1)}
        71:{1,3,4,6}:{(48,1),(49,1),(98,1),(99,1),(167,1),(212,1)}
        72:{2,3,5,6}:{(48,1),(50,1),(94,1),(99,1),(100,1),(149,1),(155,1),(201,1),(207,1),(210,1)}
        73:{2,4,7}:{(49,1),(50,1),(99,1),(102,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(96,1),(100,1),(102,1),(103,1),(160,1)}
        75:{1,2,6,7}:{(51,1),(103,1),(201,1)}
        76:{3,4,6}:{(52,1),(53,1),(104,1)}
        77:{2,3,5,6}:{(52,1),(54,1),(57,1),(94,1),(104,1),(105,1),(109,1),(149,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(104,1),(106,1),(164,1),(213,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(59,1),(96,1),(105,1),(106,1),(107,1),(163,1),(216,1),(236,1),(240,1),(244,1)}
        80:{2,4,6,7}:{(55,1),(107,1),(108,1),(119,1),(159,1),(161,1),(164,1),(165,1),(201,1),(215,1),(235,1)}
        81:{2,4,6}:{(56,1),(57,1),(58,1),(109,1),(110,1),(165,1)}
        82:{1,5,6}:{(57,1),(59,1),(110,1),(240,1)}
        83:{2,3,5,7}:{(58,1),(64,1),(109,1),(112,1),(115,1),(163,1)}
        84:{1,4,5,7}:{(58,1),(59,1),(65,1),(110,1),(112,1),(116,1),(217,1),(240,1)}
        85:{1,2,5,7}:{(59,1),(60,1),(107,1),(111,1),(114,1),(244,1)}
        86:{1,3,6,7}:{(60,1),(108,1),(114,1),(120,1),(166,1),(211,1),(234,1)}
        87:{2,4,5}:{(61,1),(62,1),(115,1),(116,1),(171,1),(219,1)}
        88:{2,3,4,6}:{(62,1),(64,1),(109,1),(115,1),(117,1),(174,1),(212,1),(215,1),(219,1)}
        89:{1,4,6}:{(62,1),(63,1),(65,1),(116,1)}
        90:{1,2,5,6}:{(63,1),(66,1),(118,1),(165,1),(171,1)}
        91:{1,3,4,7}:{(64,1),(65,1),(112,1),(117,1),(119,1),(120,1),(175,1),(217,1)}
        92:{1,2,4,7}:{(65,1),(66,1),(118,1),(119,1),(120,1)}
        93:{1,3,4,6}:{(67,1),(68,1),(76,1),(121,1),(133,1),(176,1),(188,1)}
        94:{2,5,6}:{(67,1),(69,1),(121,1),(122,1),(242,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(73,1),(121,1),(123,1),(124,1),(127,1),(179,1),(225,1),(242,1)}
        96:{1,5,7}:{(69,1),(70,1),(122,1)}
        97:{1,2,4,6,7}:{(70,1),(75,1),(80,1),(125,1),(126,1),(132,1),(147,1),(177,1),(181,1),(191,1),(231,1)}
        98:{1,3,4,5}:{(71,1),(127,1),(182,1),(194,1),(228,1),(230,1)}
        99:{2,4,6}:{(71,1),(72,1),(73,1),(127,1),(129,1)}
       100:{1,3,5,6}:{(72,1),(74,1),(122,1),(129,1),(130,1),(176,1),(182,1),(185,1)}
       101:{2,3,4,7}:{(73,1),(123,1),(128,1),(131,1),(187,1),(190,1),(225,1)}
       102:{1,4,7}:{(73,1),(74,1),(129,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(130,1),(132,1),(179,1)}
       104:{2,4,6}:{(76,1),(77,1),(78,1),(133,1)}
       105:{1,3,5,6}:{(77,1),(79,1),(82,1),(122,1),(133,1),(134,1),(137,1),(176,1),(188,1)}
       106:{1,4,5,7}:{(78,1),(79,1),(133,1),(135,1),(142,1),(181,1),(194,1),(223,1)}
       107:{2,5,7}:{(79,1),(80,1),(134,1),(232,1),(242,1)}
       108:{2,3,6,7}:{(80,1),(86,1),(126,1),(136,1),(148,1),(187,1),(188,1),(192,1),(221,1)}
       109:{2,3,6}:{(81,1),(83,1),(137,1),(188,1)}
       110:{1,4,6}:{(81,1),(82,1),(84,1),(137,1)}
       111:{1,2,5,6}:{(82,1),(85,1),(134,1),(138,1),(139,1),(220,1),(232,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(137,1),(140,1),(143,1)}
       113:{1,2,4,5,7}:{(84,1),(85,1),(92,1),(135,1),(138,1),(140,1),(141,1),(142,1),(144,1),(194,1),(196,1),(232,1)}
       114:{1,3,5,7}:{(85,1),(86,1),(136,1),(139,1),(142,1)}
       115:{2,3,5}:{(87,1),(88,1),(143,1),(230,1),(232,1)}
       116:{1,4,5}:{(87,1),(89,1),(143,1),(233,1)}
       117:{1,3,4,6}:{(88,1),(89,1),(91,1),(137,1),(143,1),(145,1),(146,1),(199,1),(200,1),(231,1),(233,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(92,1),(144,1),(145,1),(146,1)}
       119:{2,4,7}:{(91,1),(140,1),(145,1),(148,1)}
       120:{1,3,7}:{(92,1),(146,1),(148,1)}
       121:{2,4,6}:{(93,1),(94,1),(95,1),(149,1),(150,1),(201,1)}
       122:{1,5,6}:{(94,1),(96,1),(150,1),(244,1)}
       123:{2,3,5,7}:{(95,1),(101,1),(149,1),(152,1),(155,1),(163,1)}
       124:{1,4,5,7}:{(95,1),(96,1),(102,1),(150,1),(152,1),(156,1),(237,1),(244,1)}
       125:{1,2,5,7}:{(96,1),(97,1),(107,1),(151,1),(154,1),(240,1)}
       126:{1,3,6,7}:{(97,1),(108,1),(154,1),(160,1),(175,1),(202,1),(214,1)}
       127:{2,4,5}:{(98,1),(99,1),(155,1),(156,1),(207,1),(239,1)}
       128:{2,3,4,6}:{(99,1),(101,1),(149,1),(155,1),(157,1),(210,1),(212,1),(235,1),(239,1)}
       129:{1,4,6}:{(99,1),(100,1),(102,1),(156,1)}
       130:{1,2,5,6}:{(100,1),(103,1),(158,1),(201,1),(207,1)}
       131:{1,3,4,7}:{(101,1),(102,1),(152,1),(157,1),(159,1),(160,1),(211,1),(237,1)}
       132:{1,2,4,7}:{(102,1),(103,1),(158,1),(159,1),(160,1)}
       133:{1,4,6}:{(104,1),(105,1),(106,1),(161,1)}
       134:{2,5,6}:{(105,1),(107,1),(161,1),(165,1),(201,1)}
       135:{2,4,5,7}:{(106,1),(107,1),(161,1),(163,1),(164,1),(213,1)}
       136:{2,3,5,7}:{(107,1),(108,1),(114,1),(154,1),(162,1),(163,1),(164,1)}
       137:{1,3,6}:{(109,1),(110,1),(112,1),(165,1)}
       138:{1,2,4,6}:{(110,1),(111,1),(113,1),(161,1),(165,1),(166,1),(167,1),(215,1)}
       139:{1,3,5,6}:{(111,1),(114,1),(162,1),(166,1),(167,1),(216,1),(234,1),(244,1)}
       140:{2,5,7}:{(112,1),(119,1),(165,1),(171,1)}
       141:{1,3,5,7}:{(113,1),(120,1),(163,1),(166,1),(169,1),(170,1),(172,1),(216,1)}
       142:{1,4,7}:{(114,1),(164,1),(167,1)}
       143:{1,3,5}:{(115,1),(116,1),(117,1),(171,1),(240,1)}
       144:{1,2,4,5}:{(116,1),(118,1),(171,1),(172,1),(219,1)}
       145:{2,4,6}:{(117,1),(119,1),(165,1),(171,1),(174,1),(219,1)}
       146:{1,3,6}:{(118,1),(120,1),(172,1),(174,1)}
       147:{1,2,4,7}:{(119,1),(168,1),(173,1),(175,1),(217,1)}
       148:{2,3,7}:{(119,1),(120,1),(174,1),(175,1)}
       149:{2,3,6}:{(121,1),(123,1),(176,1),(188,1)}
       150:{1,4,6}:{(121,1),(122,1),(124,1),(176,1)}
       151:{1,2,5,6}:{(122,1),(125,1),(134,1),(177,1),(178,1),(191,1),(242,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(131,1),(176,1),(179,1),(182,1)}
       153:{1,2,4,5,7}:{(124,1),(125,1),(132,1),(135,1),(177,1),(179,1),(180,1),(181,1),(183,1),(223,1),(225,1),(242,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(136,1),(178,1),(181,1)}
       155:{2,3,5}:{(127,1),(128,1),(182,1),(230,1),(242,1)}
       156:{1,4,5}:{(127,1),(129,1),(182,1),(243,1)}
       157:{1,3,4,6}:{(128,1),(129,1),(131,1),(176,1),(182,1),(184,1),(185,1),(228,1),(229,1),(241,1),(243,1)}
       158:{1,2,4,6}:{(129,1),(130,1),(132,1),(183,1),(184,1),(185,1)}
       159:{2,4,7}:{(131,1),(179,1),(184,1),(187,1)}
       160:{1,3,7}:{(132,1),(185,1),(187,1)}
       161:{2,4,6}:{(133,1),(134,1),(135,1),(188,1)}
       162:{2,3,5,6}:{(134,1),(136,1),(139,1),(178,1),(188,1),(189,1),(192,1),(221,1),(230,1),(232,1),(242,1)}
       163:{3,5,7}:{(135,1),(188,1),(190,1),(230,1)}
       164:{2,4,7}:{(136,1),(142,1),(181,1),(189,1),(190,1)}
       165:{2,6}:{(137,1),(140,1)}
       166:{1,3,6}:{(138,1),(141,1),(188,1),(192,1)}
       167:{1,4,6}:{(139,1),(142,1),(189,1),(194,1)}
       168:{1,2,5,7}:{(140,1),(147,1),(191,1),(195,1),(197,1)}
       169:{2,3,5,7}:{(140,1),(141,1),(148,1),(192,1),(195,1),(196,1),(198,1),(232,1)}
       170:{1,3,4,7}:{(141,1),(142,1),(190,1),(193,1),(196,1),(199,1)}
       171:{2,5}:{(143,1),(145,1)}
       172:{1,3,5}:{(144,1),(146,1),(198,1),(199,1)}
       173:{1,2,4,6}:{(145,1),(147,1),(191,1),(197,1),(200,1),(231,1),(233,1)}
       174:{2,3,6}:{(145,1),(146,1),(148,1),(198,1),(200,1)}
       175:{1,3,7}:{(147,1),(148,1),(200,1)}
       176:{1,3,6}:{(149,1),(150,1),(152,1),(201,1)}
       177:{1,2,4,6}:{(150,1),(151,1),(153,1),(161,1),(201,1),(202,1),(203,1),(235,1)}
       178:{1,3,5,6}:{(151,1),(154,1),(162,1),(202,1),(203,1),(214,1),(236,1),(240,1)}
       179:{2,5,7}:{(152,1),(159,1),(201,1),(207,1)}
       180:{1,3,5,7}:{(153,1),(160,1),(163,1),(202,1),(205,1),(206,1),(208,1),(236,1)}
       181:{1,4,7}:{(154,1),(164,1),(203,1)}
       182:{1,3,5}:{(155,1),(156,1),(157,1),(207,1),(244,1)}
       183:{1,2,4,5}:{(156,1),(158,1),(207,1),(208,1),(239,1)}
       184:{2,4,6}:{(157,1),(159,1),(201,1),(207,1),(210,1),(239,1)}
       185:{1,3,6}:{(158,1),(160,1),(208,1),(210,1)}
       186:{1,2,4,7}:{(159,1),(204,1),(209,1),(211,1),(237,1)}
       187:{2,3,7}:{(159,1),(160,1),(210,1),(211,1)}
       188:{3,6}:{(161,1),(163,1)}
       189:{2,4,6}:{(162,1),(164,1),(167,1),(203,1),(212,1),(213,1)}
       190:{3,4,7}:{(163,1),(164,1),(212,1)}
       191:{1,2,6}:{(165,1),(168,1),(214,1)}
       192:{2,3,6}:{(165,1),(166,1),(169,1),(214,1),(215,1)}
       193:{1,3,4,6}:{(166,1),(167,1),(170,1),(212,1),(215,1),(216,1)}
       194:{1,4,5}:{(167,1),(213,1),(216,1),(244,1)}
       195:{1,3,5,7}:{(168,1),(169,1),(175,1),(214,1),(217,1),(218,1),(240,1)}
       196:{2,4,7}:{(169,1),(170,1),(215,1),(217,1),(219,1)}
       197:{1,2,5}:{(171,1),(173,1),(218,1),(240,1)}
       198:{2,3,5}:{(171,1),(172,1),(174,1),(218,1),(219,1)}
       199:{1,3,4}:{(172,1),(219,1)}
       200:{1,3,6}:{(173,1),(174,1),(175,1),(218,1)}
       201:{2,6}:{(176,1),(179,1)}
       202:{1,3,6}:{(177,1),(180,1),(188,1),(221,1)}
       203:{1,4,6}:{(178,1),(181,1),(189,1),(223,1)}
       204:{1,2,5,7}:{(179,1),(186,1),(220,1),(224,1),(226,1)}
       205:{2,3,5,7}:{(179,1),(180,1),(187,1),(221,1),(224,1),(225,1),(227,1),(242,1)}
       206:{1,3,4,7}:{(180,1),(181,1),(190,1),(222,1),(225,1),(228,1)}
       207:{2,5}:{(182,1),(184,1)}
       208:{1,3,5}:{(183,1),(185,1),(227,1),(228,1)}
       209:{1,2,4,6}:{(184,1),(186,1),(220,1),(226,1),(229,1),(241,1),(243,1)}
       210:{2,3,6}:{(184,1),(185,1),(187,1),(227,1),(229,1)}
       211:{1,3,7}:{(186,1),(187,1),(229,1)}
       212:{3,4,6}:{(188,1),(189,1),(190,1),(230,1)}
       213:{2,4,5}:{(189,1),(194,1),(223,1),(230,1),(232,1),(242,1)}
       214:{1,3,6}:{(191,1),(192,1),(195,1),(231,1)}
       215:{2,4,6}:{(192,1),(193,1),(196,1),(231,1),(232,1)}
       216:{1,3,5}:{(193,1),(194,1),(230,1),(232,1)}
       217:{1,4,7}:{(195,1),(196,1),(231,1),(233,1)}
       218:{1,3,5}:{(197,1),(198,1),(200,1),(233,1)}
       219:{2,4}:{(198,1),(199,1),(233,1)}
       220:{1,2,6}:{(201,1),(204,1),(234,1)}
       221:{2,3,6}:{(201,1),(202,1),(205,1),(234,1),(235,1)}
       222:{1,3,4,6}:{(202,1),(203,1),(206,1),(212,1),(235,1),(236,1)}
       223:{1,4,5}:{(203,1),(213,1),(236,1),(240,1)}
       224:{1,3,5,7}:{(204,1),(205,1),(211,1),(234,1),(237,1),(238,1),(244,1)}
       225:{2,4,7}:{(205,1),(206,1),(235,1),(237,1),(239,1)}
       226:{1,2,5}:{(207,1),(209,1),(238,1),(244,1)}
       227:{2,3,5}:{(207,1),(208,1),(210,1),(238,1),(239,1)}
       228:{1,3,4}:{(208,1),(239,1)}
       229:{1,3,6}:{(209,1),(210,1),(211,1),(238,1)}
       230:{3,5}:{(212,1),(213,1)}
       231:{1,4,6}:{(214,1),(215,1),(217,1),(240,1)}
       232:{2,5}:{(215,1),(216,1),(240,1)}
       233:{1,4}:{(218,1),(219,1)}
       234:{1,3,6}:{(220,1),(221,1),(224,1),(241,1)}
       235:{2,4,6}:{(221,1),(222,1),(225,1),(241,1),(242,1)}
       236:{1,3,5}:{(222,1),(223,1),(230,1),(242,1)}
       237:{1,4,7}:{(224,1),(225,1),(241,1),(243,1)}
       238:{1,3,5}:{(226,1),(227,1),(229,1),(243,1)}
       239:{2,4}:{(227,1),(228,1),(243,1)}
       240:{1,5}:{(231,1),(232,1)}
       241:{1,4,6}:{(234,1),(235,1),(237,1),(244,1)}
       242:{2,5}:{(235,1),(236,1),(244,1)}
       243:{1,4}:{(238,1),(239,1)}
       244:{1,5}:{(241,1),(242,1)}

 877 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 878 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 879 :   0:{1,2,6,7}:{(2,1),(3,1),(146,1),(233,1),(289,1),(302,1)}
         1:{1,2,5,6}:{(3,1),(4,1),(5,1),(75,1),(125,1),(146,1),(150,1),(208,1),(223,1),(289,1)}
         2:{1,3,6,7}:{(0,1),(8,1),(11,1),(12,1),(105,1),(247,1),(327,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(12,1),(13,1),(106,1),(162,1),(193,1),(264,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(14,1),(15,1),(43,1),(48,1),(87,1),(105,1),(165,1),(247,1),(252,1),(327,1),(387,1)}
         5:{1,2,4,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(49,1),(186,1),(259,1),(270,1)}
         6:{1,2,6,7}:{(16,1),(17,1),(203,1),(234,1),(288,1),(302,1)}
         7:{1,2,5,6}:{(17,1),(18,1),(19,1),(77,1),(123,1),(151,1),(203,1),(207,1),(223,1),(234,1)}
         8:{2,3,6,7}:{(2,1),(16,1),(20,1),(21,1),(132,1),(146,1),(203,1),(302,1),(303,1),(365,1)}
         9:{2,3,5,6}:{(4,1),(18,1),(21,1),(22,1),(29,1),(57,1),(59,1),(63,1),(75,1),(123,1),(132,1),(146,1),(203,1),(223,1),(224,1),(300,1),(303,1),(364,1),(370,1)}
        10:{1,2,4,5}:{(5,1),(23,1),(27,1),(66,1),(75,1),(143,1),(208,1),(217,1),(225,1),(228,1),(293,1)}
        11:{1,4,6,7}:{(2,1),(20,1),(24,1),(25,1),(69,1),(360,1)}
        12:{1,3,5,7}:{(2,1),(3,1),(4,1),(21,1),(24,1),(25,1),(26,1),(120,1),(204,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(25,1),(26,1),(71,1),(230,1),(299,1),(309,1)}
        14:{1,4,6}:{(4,1),(22,1),(25,1),(27,1),(293,1)}
        15:{1,3,6}:{(5,1),(23,1),(26,1),(29,1),(300,1)}
        16:{1,3,6,7}:{(6,1),(8,1),(31,1),(32,1),(159,1),(190,1),(276,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(32,1),(33,1),(108,1),(160,1),(250,1),(264,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(32,1),(34,1),(35,1),(50,1),(80,1),(85,1),(111,1),(159,1),(190,1),(195,1),(276,1),(350,1)}
        19:{1,2,4,6}:{(7,1),(30,1),(33,1),(34,1),(35,1),(86,1),(243,1),(259,1),(321,1)}
        20:{2,4,6,7}:{(8,1),(11,1),(31,1),(36,1),(37,1),(38,1),(92,1),(339,1)}
        21:{2,3,5,7}:{(8,1),(9,1),(12,1),(32,1),(37,1),(38,1),(46,1),(83,1),(93,1),(106,1),(160,1),(264,1),(336,1),(389,1)}
        22:{2,4,6}:{(9,1),(14,1),(34,1),(38,1),(39,1),(40,1),(266,1),(390,1)}
        23:{1,3,5}:{(10,1),(15,1),(41,1),(42,1),(260,1),(268,1)}
        24:{1,5,7}:{(11,1),(37,1),(43,1),(387,1)}
        25:{1,4,7}:{(12,1),(14,1),(38,1)}
        26:{1,3,7}:{(13,1),(15,1),(46,1),(336,1)}
        27:{1,4,5}:{(14,1),(39,1),(48,1),(165,1),(387,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(40,1),(41,1),(45,1),(48,1),(49,1),(105,1)}
        29:{2,3,6}:{(15,1),(42,1),(46,1),(49,1),(50,1),(270,1)}
        30:{1,2,4,5}:{(19,1),(51,1),(55,1),(114,1),(123,1),(151,1),(200,1),(217,1),(238,1),(280,1),(283,1)}
        31:{1,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(117,1),(315,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(18,1),(21,1),(52,1),(53,1),(54,1),(72,1),(147,1)}
        33:{1,2,4,7}:{(17,1),(19,1),(53,1),(54,1),(119,1),(285,1),(299,1),(354,1)}
        34:{1,4,6}:{(18,1),(22,1),(53,1),(55,1),(238,1)}
        35:{1,3,6}:{(19,1),(51,1),(54,1),(57,1),(300,1)}
        36:{3,4,6,7}:{(20,1),(58,1),(61,1),(127,1),(132,1),(365,1),(366,1),(408,1)}
        37:{2,5,7}:{(20,1),(24,1),(52,1),(58,1),(59,1),(370,1)}
        38:{2,4,7}:{(21,1),(22,1),(25,1),(53,1),(61,1),(408,1)}
        39:{2,4,5}:{(22,1),(27,1),(55,1),(63,1),(75,1),(123,1),(370,1),(409,1)}
        40:{3,4,6}:{(22,1),(61,1),(63,1),(132,1),(300,1),(301,1)}
        41:{1,3,4}:{(23,1),(66,1),(293,1),(301,1)}
        42:{2,3,5}:{(23,1),(29,1),(66,1),(67,1),(75,1),(228,1),(229,1)}
        43:{1,5,6}:{(24,1),(59,1),(69,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(27,1),(60,1),(69,1),(70,1),(204,1)}
        45:{1,3,4,7}:{(25,1),(26,1),(28,1),(61,1),(70,1),(71,1)}
        46:{2,3,7}:{(26,1),(29,1),(71,1),(72,1),(309,1)}
        47:{1,4,5,6}:{(27,1),(62,1),(69,1),(73,1),(74,1),(207,1),(216,1),(295,1),(317,1),(378,1)}
        48:{1,3,5}:{(27,1),(28,1),(63,1),(75,1)}
        49:{2,4,6}:{(28,1),(29,1),(66,1),(71,1),(75,1),(76,1),(146,1)}
        50:{1,3,6}:{(29,1),(67,1),(72,1),(76,1),(77,1)}
        51:{1,3,5}:{(30,1),(35,1),(78,1),(79,1),(260,1),(319,1)}
        52:{1,5,7}:{(31,1),(37,1),(80,1),(350,1)}
        53:{1,4,7}:{(32,1),(34,1),(38,1)}
        54:{1,3,7}:{(33,1),(35,1),(83,1),(336,1)}
        55:{1,4,5}:{(34,1),(39,1),(85,1),(111,1),(350,1)}
        56:{1,3,4,6}:{(34,1),(35,1),(40,1),(78,1),(82,1),(85,1),(86,1),(159,1)}
        57:{2,3,6}:{(35,1),(79,1),(83,1),(86,1),(87,1),(321,1)}
        58:{3,5,7}:{(36,1),(37,1),(88,1),(89,1),(392,1)}
        59:{2,5,6}:{(37,1),(43,1),(80,1),(88,1),(92,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(39,1),(44,1),(81,1),(89,1),(92,1),(93,1),(106,1),(160,1)}
        61:{3,4,7}:{(38,1),(40,1),(93,1),(336,1)}
        62:{2,4,5,6}:{(39,1),(47,1),(84,1),(92,1),(95,1),(96,1),(110,1),(164,1),(167,1),(172,1),(254,1),(259,1),(332,1),(341,1),(390,1),(395,1)}
        63:{3,5}:{(39,1),(40,1)}
        64:{2,3,4,6}:{(40,1),(49,1),(86,1),(94,1),(97,1),(98,1),(99,1),(153,1),(172,1),(175,1),(181,1),(182,1),(239,1),(266,1),(337,1),(339,1),(346,1),(383,1)}
        65:{1,3,4,5}:{(41,1),(48,1),(90,1),(100,1),(101,1),(173,1),(183,1),(260,1),(274,1),(348,1)}
        66:{2,4}:{(41,1),(42,1),(102,1)}
        67:{1,3,5}:{(42,1),(50,1),(102,1),(103,1),(111,1),(188,1)}
        68:{1,5,6,7}:{(43,1),(91,1),(104,1),(331,1),(400,1)}
        69:{1,4,6}:{(43,1),(44,1),(92,1),(105,1),(247,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(48,1),(93,1),(105,1),(106,1)}
        71:{2,4,7}:{(45,1),(46,1),(49,1),(106,1),(107,1)}
        72:{1,3,7}:{(46,1),(50,1),(107,1),(108,1)}
        73:{1,4,5,7}:{(47,1),(95,1),(104,1),(109,1),(250,1),(258,1),(331,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(96,1),(100,1),(105,1),(109,1),(110,1),(348,1),(399,1)}
        75:{2,5}:{(48,1),(49,1),(111,1)}
        76:{1,4,6}:{(49,1),(50,1),(102,1),(107,1),(111,1),(190,1)}
        77:{1,2,6}:{(50,1),(103,1),(108,1),(270,1)}
        78:{1,3,4}:{(51,1),(114,1),(238,1),(301,1)}
        79:{2,3,5}:{(51,1),(57,1),(114,1),(115,1),(123,1),(283,1),(284,1)}
        80:{1,5,6}:{(52,1),(59,1),(117,1)}
        81:{1,4,5,7}:{(52,1),(53,1),(55,1),(60,1),(117,1),(118,1),(147,1)}
        82:{1,3,4,7}:{(53,1),(54,1),(56,1),(61,1),(118,1),(119,1)}
        83:{2,3,7}:{(54,1),(57,1),(119,1),(120,1),(354,1)}
        84:{1,4,5,6}:{(55,1),(62,1),(117,1),(121,1),(122,1),(150,1),(216,1),(295,1),(362,1),(407,1)}
        85:{1,3,5}:{(55,1),(56,1),(63,1),(123,1)}
        86:{2,4,6}:{(56,1),(57,1),(114,1),(119,1),(123,1),(124,1),(203,1)}
        87:{1,3,6}:{(57,1),(115,1),(120,1),(124,1),(125,1)}
        88:{3,5,6}:{(58,1),(59,1),(127,1),(132,1)}
        89:{4,5,7}:{(58,1),(127,1),(408,1),(409,1)}
        90:{3,4,5}:{(63,1),(129,1),(130,1),(301,1),(368,1),(409,1)}
        91:{2,5,6,7}:{(59,1),(68,1),(116,1),(126,1),(131,1),(294,1),(363,1),(412,1)}
        92:{2,4,6}:{(59,1),(60,1),(69,1),(117,1),(127,1),(132,1),(146,1),(203,1)}
        93:{3,5,7}:{(60,1),(61,1),(63,1),(132,1)}
        94:{2,3,4,7}:{(61,1),(64,1),(71,1),(119,1),(133,1),(134,1),(215,1),(221,1),(226,1),(281,1),(304,1),(367,1),(374,1),(403,1)}
        95:{2,4,5,7}:{(62,1),(73,1),(121,1),(131,1),(135,1),(149,1),(206,1),(210,1),(215,1),(294,1),(299,1),(363,1),(408,1)}
        96:{3,5,6}:{(62,1),(63,1),(129,1),(132,1),(135,1),(300,1),(368,1),(411,1)}
        97:{2,3,5}:{(63,1),(64,1),(75,1),(123,1),(130,1),(137,1),(368,1),(370,1),(375,1),(404,1)}
        98:{1,3,4,6}:{(64,1),(76,1),(124,1),(134,1),(137,1),(138,1),(140,1),(152,1),(197,1),(209,1),(216,1),(219,1),(227,1),(238,1),(282,1),(293,1),(300,1),(301,1),(315,1),(360,1),(366,1),(373,1),(402,1)}
        99:{2,3,4}:{(66,1),(139,1),(140,1),(229,1),(301,1),(311,1)}
       100:{1,3,4,6}:{(65,1),(74,1),(129,1),(141,1),(142,1),(216,1),(227,1),(300,1)}
       101:{2,4,5}:{(65,1),(66,1),(75,1),(139,1),(142,1),(143,1),(228,1),(311,1),(375,1)}
       102:{1,4}:{(66,1),(67,1)}
       103:{1,2,5}:{(67,1),(77,1),(144,1),(228,1)}
       104:{1,4,6,7}:{(68,1),(69,1),(73,1),(131,1),(145,1),(288,1),(378,1)}
       105:{1,3,6}:{(69,1),(70,1),(132,1),(146,1)}
       106:{2,5,7}:{(70,1),(71,1),(75,1),(146,1),(147,1)}
       107:{1,4,7}:{(71,1),(72,1),(76,1),(147,1)}
       108:{1,2,7}:{(72,1),(77,1),(309,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(135,1),(141,1),(145,1),(149,1)}
       110:{2,5,6}:{(74,1),(75,1),(142,1),(146,1),(149,1),(150,1),(375,1),(414,1)}
       111:{1,5}:{(75,1),(76,1)}
       112:{1,2,4,6}:{(76,1),(77,1),(138,1),(144,1),(148,1),(151,1),(152,1),(234,1),(238,1),(280,1),(315,1),(352,1),(402,1)}
       113:{1,3,4,5}:{(78,1),(85,1),(90,1),(154,1),(155,1),(173,1),(240,1),(260,1),(325,1),(385,1)}
       114:{2,4}:{(78,1),(79,1),(156,1)}
       115:{1,3,5}:{(79,1),(87,1),(156,1),(157,1),(165,1),(245,1)}
       116:{1,5,6,7}:{(80,1),(91,1),(158,1),(331,1),(419,1)}
       117:{1,4,6}:{(80,1),(81,1),(92,1),(159,1),(190,1)}
       118:{1,3,5,7}:{(81,1),(82,1),(85,1),(93,1),(159,1),(160,1)}
       119:{2,4,7}:{(82,1),(83,1),(86,1),(160,1),(161,1)}
       120:{1,3,7}:{(83,1),(87,1),(161,1),(162,1)}
       121:{1,4,5,7}:{(84,1),(95,1),(158,1),(163,1),(193,1),(258,1),(331,1)}
       122:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(159,1),(163,1),(164,1),(385,1),(418,1)}
       123:{2,5}:{(85,1),(86,1),(165,1)}
       124:{1,4,6}:{(86,1),(87,1),(156,1),(161,1),(165,1),(247,1)}
       125:{1,2,6}:{(87,1),(157,1),(162,1),(321,1)}
       126:{3,5,6,7}:{(88,1),(91,1),(168,1),(174,1),(253,1),(389,1),(421,1)}
       127:{4,6}:{(88,1),(89,1)}
       128:{3,4,5,7}:{(89,1),(90,1),(93,1),(169,1),(170,1),(171,1),(253,1),(335,1),(392,1),(393,1),(420,1)}
       129:{3,4,6}:{(90,1),(96,1),(171,1),(172,1),(390,1)}
       130:{2,4,5}:{(90,1),(97,1),(172,1),(173,1),(266,1)}
       131:{2,4,6,7}:{(91,1),(92,1),(95,1),(104,1),(158,1),(168,1),(174,1),(189,1),(246,1),(395,1)}
       132:{3,6}:{(92,1),(93,1)}
       133:{2,3,5,7}:{(93,1),(94,1),(97,1),(106,1),(160,1),(170,1),(175,1),(176,1),(393,1),(398,1),(417,1)}
       134:{1,3,4,7}:{(94,1),(98,1),(107,1),(161,1),(176,1),(177,1),(192,1),(249,1),(258,1),(269,1),(277,1),(320,1),(328,1),(335,1),(336,1),(396,1),(415,1)}
       135:{3,5,7}:{(95,1),(96,1),(171,1),(174,1),(336,1)}
       136:{2,3,5,6}:{(96,1),(97,1),(110,1),(164,1),(172,1),(175,1),(178,1),(179,1),(182,1),(239,1),(254,1)}
       137:{1,3,5}:{(97,1),(98,1),(111,1),(165,1),(173,1),(180,1),(260,1),(350,1),(387,1),(392,1),(397,1),(416,1)}
       138:{2,4,6}:{(98,1),(177,1),(180,1),(181,1),(184,1),(241,1),(262,1),(266,1),(270,1),(321,1)}
       139:{2,3,5}:{(99,1),(101,1),(182,1),(183,1),(260,1)}
       140:{1,3,4}:{(99,1),(102,1),(183,1),(184,1),(188,1),(268,1),(344,1)}
       141:{1,3,4,7}:{(100,1),(109,1),(171,1),(185,1),(258,1),(269,1),(336,1)}
       142:{2,4,6}:{(100,1),(101,1),(110,1),(182,1),(185,1),(186,1),(270,1)}
       143:{1,4,5}:{(101,1),(102,1),(111,1),(183,1),(186,1),(344,1),(397,1)}
       144:{1,2,4}:{(102,1),(103,1),(184,1),(188,1)}
       145:{1,3,6,7}:{(104,1),(105,1),(109,1),(174,1),(189,1),(399,1)}
       146:{2,6}:{(105,1),(106,1),(190,1)}
       147:{1,5,7}:{(106,1),(107,1),(111,1),(190,1)}
       148:{1,2,4,7}:{(107,1),(108,1),(112,1),(177,1),(191,1),(192,1),(277,1),(379,1),(415,1)}
       149:{2,5,7}:{(109,1),(110,1),(185,1),(189,1),(193,1)}
       150:{1,5,6}:{(110,1),(111,1),(186,1),(190,1),(193,1),(397,1),(422,1)}
       151:{1,2,5}:{(111,1),(112,1),(180,1),(195,1),(350,1),(416,1)}
       152:{1,3,6}:{(112,1),(181,1),(188,1),(192,1),(195,1),(319,1)}
       153:{2,3,4}:{(114,1),(196,1),(197,1),(284,1),(301,1),(356,1)}
       154:{1,3,4,6}:{(113,1),(122,1),(129,1),(198,1),(199,1),(216,1),(282,1),(300,1)}
       155:{2,4,5}:{(113,1),(114,1),(123,1),(196,1),(199,1),(200,1),(283,1),(356,1),(404,1)}
       156:{1,4}:{(114,1),(115,1)}
       157:{1,2,5}:{(115,1),(125,1),(201,1),(283,1)}
       158:{1,4,6,7}:{(116,1),(117,1),(121,1),(131,1),(202,1),(233,1),(407,1)}
       159:{1,3,6}:{(117,1),(118,1),(132,1),(203,1)}
       160:{2,5,7}:{(118,1),(119,1),(123,1),(203,1),(204,1)}
       161:{1,4,7}:{(119,1),(120,1),(124,1),(204,1)}
       162:{1,2,7}:{(120,1),(125,1),(354,1)}
       163:{1,3,5,7}:{(121,1),(122,1),(135,1),(198,1),(202,1),(206,1)}
       164:{2,5,6}:{(122,1),(123,1),(199,1),(203,1),(206,1),(207,1),(404,1),(424,1)}
       165:{1,5}:{(123,1),(124,1)}
       166:{1,2,4,6}:{(124,1),(125,1),(138,1),(201,1),(205,1),(208,1),(209,1),(225,1),(289,1),(293,1),(307,1),(360,1),(373,1)}
       167:{4,5,6}:{(127,1),(210,1),(211,1),(409,1),(425,1)}
       168:{4,6,7}:{(126,1),(127,1),(210,1),(408,1),(425,1)}
       169:{3,4,6}:{(127,1),(128,1),(132,1),(211,1),(213,1),(411,1),(425,1)}
       170:{2,4,5,7}:{(128,1),(130,1),(133,1),(213,1),(214,1),(215,1),(294,1),(304,1),(370,1)}
       171:{3,4,7}:{(129,1),(135,1),(215,1),(408,1)}
       172:{2,4,6}:{(129,1),(130,1),(136,1),(215,1),(216,1)}
       173:{1,4,5}:{(130,1),(137,1),(216,1),(217,1),(238,1),(293,1),(409,1)}
       174:{3,6,7}:{(131,1),(132,1),(135,1),(411,1)}
       175:{2,3,6}:{(132,1),(133,1),(146,1),(203,1),(213,1),(219,1),(411,1),(414,1),(424,1)}
       176:{1,3,5,7}:{(133,1),(134,1),(137,1),(147,1),(204,1),(214,1),(219,1),(220,1),(298,1),(413,1),(423,1)}
       177:{2,4,7}:{(134,1),(138,1),(220,1),(221,1),(309,1),(354,1)}
       178:{2,3,5,7}:{(135,1),(136,1),(149,1),(206,1),(215,1),(218,1),(222,1),(226,1),(281,1),(294,1)}
       179:{1,3,5,6}:{(136,1),(137,1),(150,1),(207,1),(216,1),(219,1),(222,1),(223,1),(227,1),(282,1),(295,1),(300,1),(364,1)}
       180:{2,5}:{(137,1),(138,1)}
       181:{2,3,6}:{(138,1),(152,1),(209,1),(221,1),(224,1),(229,1),(284,1),(300,1)}
       182:{2,3,6}:{(139,1),(142,1),(226,1),(227,1),(300,1)}
       183:{1,3,5}:{(139,1),(140,1),(143,1),(227,1),(228,1)}
       184:{2,4}:{(140,1),(228,1),(229,1)}
       185:{2,4,7}:{(141,1),(142,1),(149,1),(226,1),(230,1),(309,1)}
       186:{1,4,6}:{(142,1),(143,1),(150,1),(227,1),(230,1)}
       187:{1,2,4,5}:{(143,1),(144,1),(151,1),(217,1),(228,1),(231,1),(232,1),(238,1),(311,1),(317,1),(375,1)}
       188:{1,3}:{(144,1),(229,1)}
       189:{2,6,7}:{(145,1),(146,1),(149,1),(233,1),(414,1)}
       190:{1,6}:{(146,1),(147,1)}
       191:{1,2,5,7}:{(147,1),(148,1),(151,1),(220,1),(234,1),(235,1),(423,1)}
       192:{1,3,7}:{(148,1),(152,1),(221,1)}
       193:{1,5,7}:{(149,1),(150,1),(230,1),(233,1)}
       194:{1,2,5,6}:{(150,1),(151,1),(223,1),(231,1),(234,1),(236,1),(237,1),(352,1),(375,1),(414,1)}
       195:{1,3,5}:{(151,1),(152,1),(224,1),(238,1)}
       196:{2,3,5}:{(153,1),(155,1),(239,1),(240,1),(260,1)}
       197:{1,3,4}:{(153,1),(156,1),(240,1),(241,1),(245,1),(319,1),(381,1)}
       198:{1,3,4,7}:{(154,1),(163,1),(171,1),(242,1),(258,1),(320,1),(336,1)}
       199:{2,4,6}:{(154,1),(155,1),(164,1),(239,1),(242,1),(243,1),(321,1)}
       200:{1,4,5}:{(155,1),(156,1),(165,1),(240,1),(243,1),(381,1),(416,1)}
       201:{1,2,4}:{(156,1),(157,1),(241,1),(245,1)}
       202:{1,3,6,7}:{(158,1),(159,1),(163,1),(174,1),(246,1),(418,1)}
       203:{2,6}:{(159,1),(160,1),(247,1)}
       204:{1,5,7}:{(160,1),(161,1),(165,1),(247,1)}
       205:{1,2,4,7}:{(161,1),(162,1),(166,1),(177,1),(248,1),(249,1),(328,1),(342,1),(396,1)}
       206:{2,5,7}:{(163,1),(164,1),(242,1),(246,1),(250,1)}
       207:{1,5,6}:{(164,1),(165,1),(243,1),(247,1),(250,1),(416,1),(426,1)}
       208:{1,2,5}:{(165,1),(166,1),(180,1),(252,1),(387,1),(397,1)}
       209:{1,3,6}:{(166,1),(181,1),(245,1),(249,1),(252,1),(268,1)}
       210:{4,5,7}:{(167,1),(168,1),(253,1)}
       211:{3,5,6}:{(167,1),(169,1),(253,1),(254,1),(392,1)}
       212:{3,4,6,7}:{(168,1),(169,1),(171,1),(174,1),(253,1),(255,1)}
       213:{2,4,6}:{(169,1),(170,1),(175,1),(254,1),(256,1)}
       214:{1,4,5,7}:{(170,1),(173,1),(176,1),(256,1),(257,1),(258,1),(277,1),(328,1),(331,1),(350,1),(387,1)}
       215:{2,4,7}:{(171,1),(172,1),(178,1),(258,1)}
       216:{1,4,6}:{(172,1),(173,1),(179,1),(258,1),(259,1),(390,1)}
       217:{2,4,5}:{(173,1),(180,1),(259,1),(260,1),(266,1)}
       218:{2,3,6,7}:{(174,1),(175,1),(178,1),(189,1),(246,1),(255,1),(261,1)}
       219:{1,3,6}:{(175,1),(176,1),(190,1),(247,1),(256,1),(262,1),(334,1),(422,1),(426,1)}
       220:{2,5,7}:{(176,1),(177,1),(180,1),(262,1)}
       221:{2,3,7}:{(177,1),(181,1),(192,1),(249,1),(336,1)}
       222:{1,3,5,7}:{(178,1),(179,1),(193,1),(250,1),(258,1),(261,1),(264,1),(269,1),(320,1),(331,1),(336,1),(389,1)}
       223:{2,5,6}:{(179,1),(180,1),(259,1),(262,1),(264,1),(270,1),(321,1)}
       224:{2,3,5}:{(180,1),(181,1),(195,1),(252,1),(260,1),(266,1)}
       225:{1,2,4}:{(184,1),(267,1),(268,1),(344,1)}
       226:{2,3,7}:{(182,1),(185,1),(269,1),(336,1)}
       227:{1,3,6}:{(182,1),(183,1),(186,1),(269,1),(270,1)}
       228:{2,5}:{(183,1),(184,1),(270,1)}
       229:{2,3}:{(184,1),(188,1),(268,1)}
       230:{1,4,7}:{(185,1),(186,1),(193,1),(269,1)}
       231:{1,2,4,6}:{(186,1),(187,1),(194,1),(259,1),(270,1),(272,1),(273,1),(279,1),(346,1)}
       232:{1,3,5}:{(187,1),(188,1),(260,1),(271,1),(273,1),(274,1)}
       233:{1,6,7}:{(189,1),(190,1),(193,1),(422,1)}
       234:{1,2,6}:{(190,1),(191,1),(262,1),(276,1),(426,1)}
       235:{1,3,5,7}:{(191,1),(192,1),(195,1),(263,1),(276,1),(277,1),(350,1)}
       236:{1,2,5,7}:{(193,1),(194,1),(264,1),(272,1),(275,1),(278,1),(379,1),(398,1)}
       237:{1,3,5,6}:{(194,1),(195,1),(265,1),(273,1),(276,1),(278,1),(279,1),(348,1),(350,1),(380,1),(399,1),(400,1),(416,1),(426,1)}
       238:{1,4}:{(195,1),(266,1)}
       239:{2,3,6}:{(196,1),(199,1),(281,1),(282,1),(300,1)}
       240:{1,3,5}:{(196,1),(197,1),(200,1),(282,1),(283,1)}
       241:{2,4}:{(197,1),(283,1),(284,1)}
       242:{2,4,7}:{(198,1),(199,1),(206,1),(281,1),(285,1),(354,1)}
       243:{1,4,6}:{(199,1),(200,1),(207,1),(282,1),(285,1)}
       244:{1,2,4,5}:{(200,1),(201,1),(208,1),(217,1),(283,1),(286,1),(287,1),(293,1),(356,1),(362,1),(404,1)}
       245:{1,3}:{(201,1),(284,1)}
       246:{2,6,7}:{(202,1),(203,1),(206,1),(288,1),(424,1)}
       247:{1,6}:{(203,1),(204,1)}
       248:{1,2,5,7}:{(204,1),(205,1),(208,1),(220,1),(289,1),(290,1),(413,1)}
       249:{1,3,7}:{(205,1),(209,1),(221,1)}
       250:{1,5,7}:{(206,1),(207,1),(285,1),(288,1)}
       251:{1,2,5,6}:{(207,1),(208,1),(223,1),(286,1),(289,1),(291,1),(292,1),(307,1),(404,1),(424,1)}
       252:{1,3,5}:{(208,1),(209,1),(224,1),(293,1)}
       253:{3,5,7}:{(210,1),(211,1),(212,1),(294,1)}
       254:{2,5,6}:{(211,1),(213,1),(294,1),(295,1),(370,1)}
       255:{2,4,6,7}:{(212,1),(213,1),(215,1),(218,1),(294,1),(296,1)}
       256:{1,4,6}:{(213,1),(214,1),(219,1),(295,1),(297,1)}
       257:{2,4,5,7}:{(214,1),(217,1),(220,1),(297,1),(298,1),(299,1),(304,1),(363,1),(370,1),(408,1),(409,1)}
       258:{1,4,7}:{(215,1),(216,1),(222,1),(299,1),(408,1)}
       259:{2,4,6}:{(216,1),(217,1),(223,1),(299,1),(300,1)}
       260:{3,5}:{(217,1),(300,1),(301,1)}
       261:{1,3,6,7}:{(218,1),(219,1),(222,1),(233,1),(288,1),(296,1),(302,1),(365,1)}
       262:{2,6}:{(219,1),(220,1)}
       263:{2,3,5,7}:{(220,1),(221,1),(224,1),(235,1),(290,1),(298,1),(303,1),(304,1),(370,1)}
       264:{2,5,7}:{(222,1),(223,1),(299,1),(302,1),(309,1),(354,1)}
       265:{2,3,5,6}:{(223,1),(224,1),(237,1),(292,1),(300,1),(303,1),(305,1),(306,1),(310,1),(355,1),(364,1),(368,1),(370,1),(375,1),(404,1),(411,1),(412,1),(414,1),(424,1)}
       266:{2,4}:{(224,1),(238,1),(293,1),(301,1)}
       267:{1,2,5}:{(225,1),(228,1),(307,1),(308,1)}
       268:{1,3}:{(225,1),(229,1)}
       269:{1,3,7}:{(226,1),(227,1),(230,1),(309,1)}
       270:{2,6}:{(227,1),(228,1),(309,1)}
       271:{2,3,5}:{(228,1),(229,1),(232,1),(308,1),(310,1),(311,1),(375,1)}
       272:{1,2,4,7}:{(230,1),(231,1),(236,1),(299,1),(309,1),(312,1),(316,1),(374,1)}
       273:{1,3,6}:{(231,1),(232,1),(300,1),(310,1),(312,1)}
       274:{1,3,4}:{(232,1),(238,1),(301,1),(311,1)}
       275:{1,2,6,7}:{(233,1),(234,1),(236,1),(302,1),(314,1),(414,1)}
       276:{1,3,6}:{(234,1),(235,1),(303,1),(315,1)}
       277:{1,4,7}:{(235,1),(238,1),(304,1),(315,1)}
       278:{1,3,5,7}:{(236,1),(237,1),(305,1),(312,1),(314,1),(316,1),(377,1),(401,1),(423,1)}
       279:{1,4,6}:{(237,1),(238,1),(306,1),(316,1),(317,1)}
       280:{1,2,4}:{(241,1),(318,1),(319,1),(381,1)}
       281:{2,3,7}:{(239,1),(242,1),(320,1),(336,1)}
       282:{1,3,6}:{(239,1),(240,1),(243,1),(320,1),(321,1)}
       283:{2,5}:{(240,1),(241,1),(321,1)}
       284:{2,3}:{(241,1),(245,1),(319,1)}
       285:{1,4,7}:{(242,1),(243,1),(250,1),(320,1)}
       286:{1,2,4,6}:{(243,1),(244,1),(251,1),(259,1),(321,1),(323,1),(324,1),(330,1),(383,1)}
       287:{1,3,5}:{(244,1),(245,1),(260,1),(322,1),(324,1),(325,1)}
       288:{1,6,7}:{(246,1),(247,1),(250,1),(426,1)}
       289:{1,2,6}:{(247,1),(248,1),(262,1),(327,1),(422,1)}
       290:{1,3,5,7}:{(248,1),(249,1),(252,1),(263,1),(327,1),(328,1),(387,1)}
       291:{1,2,5,7}:{(250,1),(251,1),(264,1),(323,1),(326,1),(329,1),(342,1),(417,1)}
       292:{1,3,5,6}:{(251,1),(252,1),(265,1),(324,1),(327,1),(329,1),(330,1),(343,1),(385,1),(387,1),(397,1),(418,1),(419,1),(422,1)}
       293:{1,4}:{(252,1),(266,1)}
       294:{2,5,7}:{(253,1),(254,1),(255,1),(331,1)}
       295:{1,5,6}:{(254,1),(256,1),(331,1),(332,1),(350,1),(387,1)}
       296:{1,4,6,7}:{(255,1),(256,1),(258,1),(261,1),(331,1),(333,1)}
       297:{2,4,6}:{(256,1),(257,1),(262,1),(332,1),(334,1),(390,1)}
       298:{3,5,7}:{(257,1),(260,1),(334,1),(335,1),(336,1),(392,1)}
       299:{2,4,7}:{(258,1),(259,1),(264,1),(336,1)}
       300:{3,6}:{(259,1),(260,1),(336,1)}
       301:{3,4}:{(260,1),(266,1)}
       302:{2,6,7}:{(261,1),(262,1),(264,1)}
       303:{2,3,6}:{(262,1),(263,1),(276,1),(327,1),(334,1),(339,1)}
       304:{2,4,7}:{(263,1),(266,1),(277,1),(328,1),(335,1),(339,1)}
       305:{2,3,5,7}:{(264,1),(265,1),(278,1),(329,1),(336,1),(338,1),(340,1),(345,1),(382,1),(389,1),(393,1),(394,1),(398,1),(417,1)}
       306:{2,4,6}:{(265,1),(266,1),(279,1),(330,1),(337,1),(340,1),(341,1),(390,1)}
       307:{1,2,6}:{(267,1),(270,1),(342,1),(343,1)}
       308:{1,3,5}:{(267,1),(268,1),(271,1),(343,1),(344,1),(397,1)}
       309:{2,7}:{(269,1),(270,1)}
       310:{2,3,6}:{(270,1),(271,1),(273,1),(343,1),(345,1),(346,1)}
       311:{2,4}:{(271,1),(274,1),(344,1)}
       312:{1,3,7}:{(272,1),(273,1),(336,1),(345,1)}
       313:{1,3,4,6}:{(273,1),(274,1),(279,1),(337,1),(346,1),(347,1),(348,1),(399,1)}
       314:{1,3,6,7}:{(275,1),(276,1),(278,1),(338,1),(349,1),(399,1),(426,1)}
       315:{1,4,6}:{(276,1),(277,1),(339,1),(350,1)}
       316:{1,4,7}:{(278,1),(279,1),(340,1)}
       317:{1,4,5}:{(279,1),(341,1),(348,1),(350,1),(416,1)}
       318:{1,2,5}:{(280,1),(283,1),(352,1),(353,1)}
       319:{1,3}:{(280,1),(284,1)}
       320:{1,3,7}:{(281,1),(282,1),(285,1),(354,1)}
       321:{2,6}:{(282,1),(283,1),(354,1)}
       322:{2,3,5}:{(283,1),(284,1),(287,1),(353,1),(355,1),(356,1),(404,1)}
       323:{1,2,4,7}:{(285,1),(286,1),(291,1),(299,1),(354,1),(357,1),(361,1),(403,1)}
       324:{1,3,6}:{(286,1),(287,1),(300,1),(355,1),(357,1)}
       325:{1,3,4}:{(287,1),(293,1),(301,1),(356,1)}
       326:{1,2,6,7}:{(288,1),(289,1),(291,1),(302,1),(359,1),(424,1)}
       327:{1,3,6}:{(289,1),(290,1),(303,1),(360,1)}
       328:{1,4,7}:{(290,1),(293,1),(304,1),(360,1)}
       329:{1,3,5,7}:{(291,1),(292,1),(305,1),(357,1),(359,1),(361,1),(372,1),(406,1),(413,1)}
       330:{1,4,6}:{(292,1),(293,1),(306,1),(361,1),(362,1)}
       331:{1,5,7}:{(294,1),(295,1),(296,1),(363,1)}
       332:{2,5,6}:{(295,1),(297,1),(363,1),(364,1),(370,1)}
       333:{2,4,6,7}:{(296,1),(297,1),(299,1),(302,1),(363,1),(365,1),(408,1)}
       334:{3,6}:{(297,1),(298,1)}
       335:{3,4,7}:{(298,1),(301,1),(304,1),(366,1),(408,1)}
       336:{3,7}:{(299,1),(300,1)}
       337:{3,4,6}:{(300,1),(301,1),(306,1),(367,1),(368,1),(411,1)}
       338:{2,3,6,7}:{(302,1),(303,1),(305,1),(314,1),(359,1),(365,1),(369,1),(411,1),(414,1),(424,1)}
       339:{2,4,6}:{(303,1),(304,1),(315,1),(360,1),(366,1),(370,1)}
       340:{2,4,7}:{(305,1),(306,1),(316,1),(361,1),(367,1),(408,1)}
       341:{2,4,5}:{(306,1),(317,1),(362,1),(368,1),(370,1),(375,1),(404,1),(409,1)}
       342:{1,2,7}:{(307,1),(309,1),(372,1)}
       343:{1,3,6}:{(307,1),(308,1),(310,1),(372,1),(373,1)}
       344:{1,4}:{(308,1),(311,1)}
       345:{2,3,7}:{(309,1),(310,1),(312,1),(372,1),(374,1)}
       346:{2,4,6}:{(310,1),(311,1),(313,1),(373,1),(374,1),(375,1),(414,1)}
       347:{1,3,4,7}:{(312,1),(313,1),(316,1),(367,1),(374,1),(376,1)}
       348:{1,3,5}:{(313,1),(317,1),(368,1),(375,1)}
       349:{1,4,6,7}:{(314,1),(315,1),(316,1),(369,1),(377,1),(378,1)}
       350:{1,5}:{(315,1),(370,1)}
       351:{1,4,5,7}:{(316,1),(317,1),(371,1),(376,1),(377,1),(378,1),(423,1)}
       352:{1,2,6}:{(318,1),(321,1),(379,1),(380,1)}
       353:{1,3,5}:{(318,1),(319,1),(322,1),(380,1),(381,1),(416,1)}
       354:{2,7}:{(320,1),(321,1)}
       355:{2,3,6}:{(321,1),(322,1),(324,1),(380,1),(382,1),(383,1)}
       356:{2,4}:{(322,1),(325,1),(381,1)}
       357:{1,3,7}:{(323,1),(324,1),(336,1),(382,1)}
       358:{1,3,4,6}:{(324,1),(325,1),(330,1),(337,1),(383,1),(384,1),(385,1),(418,1)}
       359:{1,3,6,7}:{(326,1),(327,1),(329,1),(338,1),(386,1),(418,1),(422,1)}
       360:{1,4,6}:{(327,1),(328,1),(339,1),(387,1)}
       361:{1,4,7}:{(329,1),(330,1),(340,1)}
       362:{1,4,5}:{(330,1),(341,1),(385,1),(387,1),(397,1)}
       363:{2,5,7}:{(331,1),(332,1),(333,1),(389,1)}
       364:{3,5,6}:{(332,1),(334,1),(389,1),(390,1),(392,1)}
       365:{3,6,7}:{(333,1),(334,1),(336,1),(389,1)}
       366:{3,4,6}:{(334,1),(335,1),(339,1),(390,1),(392,1)}
       367:{3,4,7}:{(336,1),(337,1),(340,1),(393,1)}
       368:{3,5}:{(337,1),(341,1)}
       369:{2,4,6,7}:{(338,1),(339,1),(340,1),(349,1),(386,1),(391,1),(394,1),(395,1)}
       370:{2,5}:{(339,1),(350,1),(387,1),(392,1)}
       371:{2,4,5,7}:{(340,1),(341,1),(351,1),(388,1),(393,1),(394,1),(395,1),(398,1),(417,1),(420,1)}
       372:{1,3,7}:{(342,1),(343,1),(345,1),(396,1)}
       373:{1,4,6}:{(343,1),(344,1),(346,1),(396,1),(397,1),(422,1)}
       374:{2,4,7}:{(345,1),(346,1),(347,1),(396,1),(398,1)}
       375:{2,5}:{(346,1),(348,1),(397,1)}
       376:{1,3,5,7}:{(347,1),(348,1),(351,1),(393,1),(398,1),(399,1)}
       377:{1,5,7}:{(349,1),(350,1),(394,1),(400,1)}
       378:{1,4,6}:{(351,1),(395,1),(399,1),(400,1),(426,1)}
       379:{1,2,7}:{(352,1),(354,1),(401,1)}
       380:{1,3,6}:{(352,1),(353,1),(355,1),(401,1),(402,1)}
       381:{1,4}:{(353,1),(356,1)}
       382:{2,3,7}:{(354,1),(355,1),(357,1),(401,1),(403,1)}
       383:{2,4,6}:{(355,1),(356,1),(358,1),(402,1),(403,1),(404,1),(424,1)}
       384:{1,3,4,7}:{(357,1),(358,1),(361,1),(367,1),(403,1),(405,1)}
       385:{1,3,5}:{(358,1),(362,1),(368,1),(404,1)}
       386:{1,4,6,7}:{(359,1),(360,1),(361,1),(369,1),(406,1),(407,1)}
       387:{1,5}:{(360,1),(370,1)}
       388:{1,4,5,7}:{(361,1),(362,1),(371,1),(405,1),(406,1),(407,1),(413,1)}
       389:{3,5,7}:{(363,1),(364,1),(365,1),(408,1)}
       390:{4,6}:{(364,1),(408,1),(409,1)}
       391:{3,4,6,7}:{(365,1),(366,1),(367,1),(369,1),(408,1),(410,1),(411,1),(425,1)}
       392:{3,5}:{(366,1),(370,1),(409,1)}
       393:{3,5,7}:{(367,1),(368,1),(371,1),(411,1)}
       394:{2,5,7}:{(369,1),(370,1),(377,1),(406,1),(410,1),(412,1)}
       395:{2,4,6}:{(371,1),(378,1),(407,1),(411,1),(412,1),(414,1),(424,1),(425,1)}
       396:{1,4,7}:{(372,1),(373,1),(374,1),(413,1)}
       397:{1,5}:{(373,1),(375,1)}
       398:{2,5,7}:{(374,1),(375,1),(376,1),(413,1),(414,1)}
       399:{1,3,6}:{(376,1),(378,1),(411,1),(414,1)}
       400:{1,5,6}:{(377,1),(378,1),(412,1)}
       401:{1,3,7}:{(379,1),(380,1),(382,1),(415,1)}
       402:{1,4,6}:{(380,1),(381,1),(383,1),(415,1),(416,1),(426,1)}
       403:{2,4,7}:{(382,1),(383,1),(384,1),(415,1),(417,1)}
       404:{2,5}:{(383,1),(385,1),(416,1)}
       405:{1,3,5,7}:{(384,1),(385,1),(388,1),(393,1),(417,1),(418,1)}
       406:{1,5,7}:{(386,1),(387,1),(394,1),(419,1)}
       407:{1,4,6}:{(388,1),(395,1),(418,1),(419,1),(422,1)}
       408:{4,7}:{(389,1),(390,1)}
       409:{4,5}:{(390,1),(392,1)}
       410:{3,5,7}:{(391,1),(392,1),(394,1),(420,1),(421,1)}
       411:{3,6}:{(393,1),(395,1)}
       412:{2,5,6}:{(394,1),(395,1),(400,1),(419,1),(421,1)}
       413:{1,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,6}:{(398,1),(399,1),(422,1)}
       415:{1,4,7}:{(401,1),(402,1),(403,1),(423,1)}
       416:{1,5}:{(402,1),(404,1)}
       417:{2,5,7}:{(403,1),(404,1),(405,1),(423,1),(424,1)}
       418:{1,3,6}:{(405,1),(407,1),(411,1),(424,1)}
       419:{1,5,6}:{(406,1),(407,1),(412,1)}
       420:{4,5,7}:{(408,1),(409,1),(410,1),(425,1)}
       421:{3,5,6}:{(410,1),(411,1),(412,1),(425,1)}
       422:{1,6}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 880 :   0:{1,2,5,7}:{(1,1),(2,1),(3,1),(17,1),(38,1),(54,1),(84,1)}
         1:{1,2,4,7}:{(0,1),(6,1),(7,1),(9,1),(32,1),(109,1)}
         2:{1,2,6}:{(0,1),(8,1),(79,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(33,1),(36,1),(61,1),(110,1),(112,1)}
         4:{1,2,5,7}:{(10,1),(11,1),(12,1),(15,1),(40,1),(49,1),(89,1)}
         5:{2,3,5,7}:{(3,1),(12,1),(13,1),(14,1),(16,1),(39,1),(46,1),(47,1),(52,1),(54,1),(87,1),(89,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(17,1),(18,1),(20,1),(53,1),(55,1)}
         7:{1,3,7}:{(1,1),(16,1),(18,1),(132,1),(185,1)}
         8:{1,3,6}:{(2,1),(3,1),(13,1),(20,1),(135,1)}
         9:{1,4,7}:{(3,1),(14,1),(20,1),(55,1),(133,1)}
        10:{1,2,4,7}:{(4,1),(22,1),(23,1),(25,1),(63,1),(73,1)}
        11:{1,2,6}:{(4,1),(24,1),(115,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(23,1),(24,1),(25,1),(30,1),(64,1),(67,1),(74,1),(76,1)}
        13:{2,3,6}:{(5,1),(8,1),(24,1),(27,1),(70,1),(79,1),(115,1)}
        14:{2,4,7}:{(5,1),(9,1),(25,1),(26,1),(27,1),(77,1),(113,1)}
        15:{1,2,7}:{(29,1),(30,1),(150,1),(181,1)}
        16:{2,3,7}:{(7,1),(30,1),(31,1),(32,1),(151,1),(164,1),(181,1)}
        17:{1,2,5}:{(6,1),(33,1),(36,1),(78,1),(122,1)}
        18:{1,3,6}:{(6,1),(7,1),(31,1),(33,1),(180,1)}
        19:{1,3,4,7}:{(7,1),(9,1),(26,1),(32,1),(34,1),(35,1),(131,1),(152,1),(164,1)}
        20:{1,4,6}:{(8,1),(9,1),(27,1),(36,1)}
        21:{1,4,5,7}:{(9,1),(28,1),(35,1),(36,1),(37,1),(80,1),(83,1),(112,1),(131,1),(153,1),(178,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(40,1),(41,1),(43,1),(88,1),(90,1)}
        23:{1,3,7}:{(10,1),(39,1),(41,1),(99,1),(188,1)}
        24:{1,3,6}:{(11,1),(12,1),(13,1),(43,1),(102,1)}
        25:{1,4,7}:{(12,1),(14,1),(43,1),(90,1),(100,1)}
        26:{3,4,7}:{(14,1),(45,1),(46,1),(103,1),(136,1),(142,1)}
        27:{2,4,6}:{(13,1),(14,1),(20,1),(43,1),(45,1),(47,1)}
        28:{2,4,5,7}:{(14,1),(21,1),(44,1),(46,1),(47,1),(48,1),(54,1),(89,1),(95,1),(98,1),(104,1),(137,1),(142,1),(149,1),(171,1)}
        29:{1,2,6}:{(15,1),(49,1),(50,1),(173,1)}
        30:{1,3,7}:{(15,1),(16,1),(50,1),(51,1),(165,1)}
        31:{2,3,6}:{(16,1),(18,1),(50,1),(52,1),(53,1),(148,1),(173,1)}
        32:{2,4,7}:{(16,1),(19,1),(51,1),(53,1),(54,1),(166,1)}
        33:{1,3,5}:{(17,1),(18,1),(52,1),(55,1),(143,1),(172,1)}
        34:{1,3,4,6}:{(18,1),(19,1),(20,1),(45,1),(53,1),(55,1),(56,1),(57,1),(103,1),(107,1),(148,1)}
        35:{1,3,5,7}:{(19,1),(21,1),(46,1),(54,1),(56,1),(57,1),(167,1),(184,1)}
        36:{1,5}:{(20,1),(47,1)}
        37:{1,4,6}:{(21,1),(48,1),(57,1),(58,1),(135,1)}
        38:{1,2,7}:{(60,1),(61,1),(122,1),(187,1)}
        39:{2,3,7}:{(23,1),(61,1),(62,1),(63,1),(123,1),(179,1),(187,1)}
        40:{1,2,5}:{(22,1),(64,1),(67,1),(114,1),(150,1)}
        41:{1,3,6}:{(22,1),(23,1),(62,1),(64,1),(186,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(26,1),(63,1),(65,1),(66,1),(124,1),(159,1),(179,1)}
        43:{1,4,6}:{(24,1),(25,1),(27,1),(67,1)}
        44:{1,4,5,7}:{(25,1),(28,1),(66,1),(67,1),(68,1),(76,1),(116,1),(119,1),(125,1),(159,1),(163,1)}
        45:{3,4,6}:{(26,1),(27,1),(69,1),(70,1),(120,1)}
        46:{3,5,7}:{(26,1),(28,1),(69,1),(70,1),(128,1),(156,1),(164,1),(179,1)}
        47:{2,5}:{(27,1),(36,1),(67,1),(69,1)}
        48:{2,4,6}:{(28,1),(37,1),(68,1),(70,1),(71,1),(79,1),(115,1),(120,1)}
        49:{1,2,5}:{(29,1),(73,1),(74,1),(161,1)}
        50:{1,3,6}:{(29,1),(30,1),(31,1),(74,1),(75,1)}
        51:{1,4,7}:{(30,1),(32,1),(75,1),(76,1),(175,1)}
        52:{2,3,5}:{(31,1),(33,1),(74,1),(77,1),(78,1),(123,1),(128,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(34,1),(75,1),(77,1),(78,1),(79,1)}
        54:{2,5,7}:{(32,1),(35,1),(76,1),(78,1),(79,1),(176,1),(187,1)}
        55:{1,4}:{(33,1),(77,1)}
        56:{1,3,5}:{(34,1),(36,1),(69,1),(78,1),(80,1),(128,1)}
        57:{1,3,6}:{(35,1),(37,1),(70,1),(79,1)}
        58:{1,5,6}:{(36,1),(37,1),(71,1),(83,1)}
        59:{1,4,6,7}:{(37,1),(72,1),(82,1),(83,1),(131,1),(155,1),(178,1)}
        60:{1,2,6}:{(38,1),(84,1),(85,1),(183,1)}
        61:{1,3,7}:{(38,1),(39,1),(85,1),(86,1),(143,1)}
        62:{2,3,6}:{(39,1),(41,1),(85,1),(87,1),(88,1),(170,1),(183,1)}
        63:{2,4,7}:{(39,1),(42,1),(86,1),(88,1),(89,1),(144,1)}
        64:{1,3,5}:{(40,1),(41,1),(87,1),(90,1),(165,1),(182,1)}
        65:{1,3,4,6}:{(41,1),(42,1),(43,1),(45,1),(88,1),(90,1),(91,1),(92,1),(136,1),(140,1),(170,1)}
        66:{1,3,5,7}:{(42,1),(44,1),(46,1),(89,1),(91,1),(92,1),(145,1),(174,1)}
        67:{1,5}:{(43,1),(47,1)}
        68:{1,4,6}:{(44,1),(48,1),(92,1),(93,1),(102,1)}
        69:{3,5}:{(45,1),(47,1),(95,1)}
        70:{3,6}:{(46,1),(48,1)}
        71:{2,5,6}:{(47,1),(48,1),(58,1),(93,1),(96,1),(98,1)}
        72:{2,4,6,7}:{(48,1),(59,1),(94,1),(97,1),(98,1),(106,1),(139,1),(142,1),(149,1),(171,1)}
        73:{1,2,4}:{(49,1),(99,1),(100,1),(144,1)}
        74:{1,3,5}:{(49,1),(50,1),(52,1),(99,1),(100,1),(101,1)}
        75:{1,4,6}:{(50,1),(51,1),(53,1),(100,1),(101,1),(102,1)}
        76:{1,5,7}:{(51,1),(54,1),(101,1),(102,1),(182,1),(188,1)}
        77:{2,4}:{(52,1),(55,1),(100,1),(103,1)}
        78:{2,5}:{(53,1),(56,1),(101,1)}
        79:{2,6}:{(54,1),(57,1),(102,1)}
        80:{1,4,5}:{(55,1),(56,1),(95,1),(104,1),(107,1),(172,1)}
        81:{1,3,5,6}:{(56,1),(57,1),(58,1),(96,1),(105,1),(107,1),(108,1),(148,1)}
        82:{1,3,6,7}:{(57,1),(59,1),(97,1),(106,1),(108,1),(184,1)}
        83:{1,5,7}:{(58,1),(59,1),(98,1)}
        84:{1,2,5}:{(60,1),(109,1),(110,1),(176,1)}
        85:{1,3,6}:{(60,1),(61,1),(62,1),(110,1),(111,1)}
        86:{1,4,7}:{(61,1),(63,1),(111,1),(112,1),(160,1)}
        87:{2,3,5}:{(62,1),(64,1),(110,1),(113,1),(114,1),(151,1),(156,1),(176,1)}
        88:{2,4,6}:{(62,1),(63,1),(65,1),(111,1),(113,1),(114,1),(115,1)}
        89:{2,5,7}:{(63,1),(66,1),(112,1),(114,1),(115,1),(161,1),(181,1)}
        90:{1,4}:{(64,1),(113,1)}
        91:{1,3,5}:{(65,1),(67,1),(69,1),(114,1),(116,1),(156,1)}
        92:{1,3,6}:{(66,1),(68,1),(70,1),(115,1)}
        93:{1,5,6}:{(67,1),(68,1),(71,1),(119,1)}
        94:{1,4,6,7}:{(68,1),(72,1),(118,1),(119,1),(127,1),(159,1),(163,1)}
        95:{4,5}:{(69,1),(120,1)}
        96:{3,5,6}:{(69,1),(70,1),(71,1),(120,1),(121,1)}
        97:{3,6,7}:{(70,1),(72,1),(121,1),(164,1),(179,1)}
        98:{2,5,7}:{(71,1),(72,1),(83,1),(119,1),(121,1)}
        99:{1,3}:{(73,1),(123,1)}
       100:{1,4}:{(74,1),(77,1)}
       101:{1,5}:{(75,1),(78,1)}
       102:{1,6}:{(76,1),(79,1)}
       103:{3,4}:{(77,1),(128,1)}
       104:{2,4,5}:{(77,1),(78,1),(80,1),(125,1),(128,1),(129,1),(161,1)}
       105:{2,5,6}:{(78,1),(79,1),(81,1),(126,1),(129,1),(130,1)}
       106:{2,6,7}:{(79,1),(82,1),(127,1),(130,1),(187,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(131,1),(180,1)}
       108:{1,3,5,7}:{(81,1),(82,1),(83,1),(121,1),(130,1),(131,1),(164,1)}
       109:{1,2,4}:{(84,1),(132,1),(133,1),(166,1)}
       110:{1,3,5}:{(84,1),(85,1),(87,1),(132,1),(133,1),(134,1)}
       111:{1,4,6}:{(85,1),(86,1),(88,1),(133,1),(134,1),(135,1)}
       112:{1,5,7}:{(86,1),(89,1),(134,1),(135,1),(172,1),(185,1)}
       113:{2,4}:{(87,1),(90,1),(133,1),(136,1)}
       114:{2,5}:{(88,1),(91,1),(134,1)}
       115:{2,6}:{(89,1),(92,1),(135,1)}
       116:{1,4,5}:{(90,1),(91,1),(95,1),(137,1),(140,1),(182,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(96,1),(138,1),(140,1),(141,1),(170,1)}
       118:{1,3,6,7}:{(92,1),(94,1),(97,1),(139,1),(141,1),(174,1)}
       119:{1,5,7}:{(93,1),(94,1),(98,1)}
       120:{4,6}:{(95,1),(96,1),(142,1)}
       121:{3,5,7}:{(96,1),(97,1),(98,1),(142,1)}
       122:{1,2}:{(143,1)}
       123:{2,3}:{(99,1),(143,1),(144,1)}
       124:{1,3,4}:{(99,1),(100,1),(103,1),(144,1),(145,1)}
       125:{1,4,5}:{(100,1),(101,1),(104,1),(145,1),(146,1)}
       126:{1,5,6}:{(101,1),(102,1),(105,1),(146,1),(147,1)}
       127:{1,6,7}:{(102,1),(106,1),(147,1),(188,1)}
       128:{3,5}:{(103,1),(104,1),(148,1)}
       129:{2,4,6}:{(104,1),(105,1),(107,1),(146,1),(148,1),(149,1),(173,1)}
       130:{2,5,7}:{(105,1),(106,1),(108,1),(147,1),(149,1)}
       131:{1,4,7}:{(107,1),(108,1),(142,1),(149,1),(185,1)}
       132:{1,3}:{(109,1),(151,1)}
       133:{1,4}:{(110,1),(113,1)}
       134:{1,5}:{(111,1),(114,1)}
       135:{1,6}:{(112,1),(115,1)}
       136:{3,4}:{(113,1),(156,1)}
       137:{2,4,5}:{(113,1),(114,1),(116,1),(153,1),(156,1),(157,1),(176,1)}
       138:{2,5,6}:{(114,1),(115,1),(117,1),(154,1),(157,1),(158,1)}
       139:{2,6,7}:{(115,1),(118,1),(155,1),(158,1),(181,1)}
       140:{1,4,6}:{(116,1),(117,1),(120,1),(157,1),(159,1),(186,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(119,1),(121,1),(158,1),(159,1),(179,1)}
       142:{4,7}:{(120,1),(121,1)}
       143:{1,3}:{(122,1),(123,1),(160,1)}
       144:{2,4}:{(123,1),(124,1),(160,1),(161,1)}
       145:{1,3,5}:{(124,1),(125,1),(128,1),(161,1),(162,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(162,1),(163,1)}
       147:{1,5,7}:{(126,1),(127,1),(130,1),(163,1)}
       148:{3,6}:{(128,1),(129,1),(164,1)}
       149:{2,4,7}:{(129,1),(130,1),(131,1),(163,1),(164,1),(181,1)}
       150:{1,2}:{(165,1)}
       151:{2,3}:{(132,1),(165,1),(166,1)}
       152:{1,3,4}:{(132,1),(133,1),(136,1),(166,1),(167,1)}
       153:{1,4,5}:{(133,1),(134,1),(137,1),(167,1),(168,1)}
       154:{1,5,6}:{(134,1),(135,1),(138,1),(168,1),(169,1)}
       155:{1,6,7}:{(135,1),(139,1),(169,1),(185,1)}
       156:{3,5}:{(136,1),(137,1),(170,1)}
       157:{2,4,6}:{(137,1),(138,1),(140,1),(168,1),(170,1),(171,1),(183,1)}
       158:{2,5,7}:{(138,1),(139,1),(141,1),(169,1),(171,1)}
       159:{1,4,7}:{(140,1),(141,1),(142,1),(171,1),(188,1)}
       160:{1,4}:{(143,1),(144,1),(172,1)}
       161:{2,5}:{(144,1),(145,1),(172,1),(173,1)}
       162:{1,3,6}:{(145,1),(146,1),(148,1),(173,1),(174,1)}
       163:{1,4,7}:{(146,1),(147,1),(149,1),(174,1)}
       164:{3,7}:{(148,1),(149,1)}
       165:{1,3}:{(150,1),(151,1),(175,1)}
       166:{2,4}:{(151,1),(152,1),(175,1),(176,1)}
       167:{1,3,5}:{(152,1),(153,1),(156,1),(176,1),(177,1)}
       168:{1,4,6}:{(153,1),(154,1),(157,1),(177,1),(178,1)}
       169:{1,5,7}:{(154,1),(155,1),(158,1),(178,1)}
       170:{3,6}:{(156,1),(157,1),(179,1)}
       171:{2,4,7}:{(157,1),(158,1),(159,1),(178,1),(179,1),(187,1)}
       172:{1,5}:{(160,1),(161,1),(180,1)}
       173:{2,6}:{(161,1),(162,1),(180,1),(181,1)}
       174:{1,3,7}:{(162,1),(163,1),(164,1),(181,1)}
       175:{1,4}:{(165,1),(166,1),(182,1)}
       176:{2,5}:{(166,1),(167,1),(182,1),(183,1)}
       177:{1,3,6}:{(167,1),(168,1),(170,1),(183,1),(184,1)}
       178:{1,4,7}:{(168,1),(169,1),(171,1),(184,1)}
       179:{3,7}:{(170,1),(171,1)}
       180:{1,6}:{(172,1),(173,1),(185,1)}
       181:{2,7}:{(173,1),(174,1),(185,1)}
       182:{1,5}:{(175,1),(176,1),(186,1)}
       183:{2,6}:{(176,1),(177,1),(186,1),(187,1)}
       184:{1,3,7}:{(177,1),(178,1),(179,1),(187,1)}
       185:{1,7}:{(180,1),(181,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{2,7}:{(183,1),(184,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 881 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(15,1),(41,1),(81,1),(82,1),(93,1),(95,1),(98,1),(146,1),(161,1),(168,1),(231,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(4,1),(5,1),(19,1),(27,1),(55,1),(58,1),(64,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(20,1),(63,1),(65,1),(126,1),(203,1),(260,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(161,1),(231,1),(277,1)}
         4:{1,4,5,7}:{(1,1),(9,1),(12,1),(45,1),(81,1),(83,1),(93,1),(150,1)}
         5:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(14,1),(36,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(37,1),(50,1),(93,1),(95,1),(104,1),(161,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(49,1),(98,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(58,1),(64,1),(105,1),(181,1),(197,1),(198,1),(254,1)}
         9:{1,3,5,7}:{(3,1),(4,1),(17,1),(19,1),(20,1),(54,1),(295,1)}
        10:{2,3,6}:{(3,1),(5,1),(20,1),(126,1),(260,1),(294,1)}
        11:{1,2,4,5,7}:{(4,1),(19,1),(23,1),(24,1),(51,1),(58,1),(70,1),(108,1),(112,1),(114,1),(122,1),(125,1),(132,1),(133,1),(171,1),(176,1),(195,1),(237,1),(282,1),(295,1)}
        12:{1,4,6}:{(4,1),(5,1),(20,1),(26,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(25,1),(27,1),(60,1),(64,1),(125,1)}
        14:{2,5,6}:{(5,1),(7,1),(26,1),(27,1),(122,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(75,1)}
        16:{1,4,5,6}:{(7,1),(28,1),(30,1),(63,1),(132,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(83,1),(93,1),(161,1),(232,1),(279,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(88,1),(138,1),(160,1),(162,1),(207,1),(216,1),(224,1)}
        19:{2,5,7}:{(9,1),(31,1),(36,1),(80,1)}
        20:{1,3,6}:{(9,1),(10,1),(12,1),(36,1),(305,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(39,1),(104,1),(161,1),(169,1)}
        22:{2,3,5,6}:{(10,1),(14,1),(33,1),(38,1),(39,1),(40,1),(49,1),(103,1),(162,1)}
        23:{1,3,5,7}:{(11,1),(35,1),(41,1),(42,1),(76,1),(98,1),(141,1),(146,1),(161,1),(231,1),(264,1),(296,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(36,1),(42,1),(44,1),(88,1),(92,1),(100,1),(148,1),(205,1),(230,1),(263,1),(305,1)}
        25:{1,4,6,7}:{(12,1),(13,1),(37,1),(45,1),(93,1)}
        26:{1,5,6}:{(12,1),(14,1),(45,1),(150,1)}
        27:{2,5,7}:{(13,1),(14,1),(15,1),(45,1)}
        28:{2,4,5,6}:{(14,1),(16,1),(40,1),(46,1),(48,1),(49,1),(92,1),(103,1),(158,1),(230,1)}
        29:{1,3,5,6,7}:{(15,1),(47,1),(50,1),(104,1),(167,1)}
        30:{1,4,5,7}:{(15,1),(16,1),(48,1),(50,1),(93,1),(170,1)}
        31:{2,4,7}:{(17,1),(19,1),(52,1),(53,1),(261,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(20,1),(53,1),(54,1),(63,1),(107,1),(115,1),(126,1),(176,1),(181,1),(199,1),(246,1),(255,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(122,1),(196,1),(253,1)}
        34:{1,2,5,7}:{(19,1),(51,1),(56,1),(57,1),(108,1),(171,1),(295,1)}
        35:{2,3,5,7}:{(19,1),(23,1),(52,1),(56,1),(58,1),(59,1),(105,1),(111,1),(122,1),(171,1),(173,1)}
        36:{2,6}:{(19,1),(20,1)}
        37:{1,3,6,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(204,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(26,1),(54,1),(61,1),(62,1),(63,1),(126,1),(136,1),(199,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(27,1),(62,1),(64,1),(75,1),(135,1),(198,1)}
        40:{2,4,6}:{(22,1),(55,1),(63,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(23,1),(58,1),(67,1),(133,1),(176,1),(181,1),(197,1),(238,1)}
        42:{1,3,6}:{(23,1),(24,1),(59,1),(126,1),(260,1),(283,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(60,1),(68,1),(70,1),(121,1),(125,1),(133,1),(184,1),(235,1),(282,1)}
        44:{1,2,5,6}:{(24,1),(26,1),(61,1),(69,1),(70,1),(108,1),(122,1),(185,1),(194,1),(236,1),(257,1)}
        45:{1,5,7}:{(25,1),(26,1),(27,1)}
        46:{1,4,5,6}:{(26,1),(28,1),(63,1),(72,1),(73,1),(187,1),(251,1)}
        47:{2,5,6,7}:{(27,1),(29,1),(71,1),(74,1),(194,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(30,1),(64,1),(72,1),(74,1),(75,1),(125,1),(135,1)}
        49:{3,5,6}:{(28,1),(65,1),(75,1),(126,1),(196,1),(260,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(74,1),(203,1),(204,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(83,1),(137,1),(279,1),(280,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(161,1)}
        53:{2,4,6}:{(31,1),(32,1),(36,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(150,1),(278,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(76,1),(83,1),(84,1),(141,1),(150,1)}
        57:{1,2,6}:{(34,1),(36,1),(84,1),(205,1),(305,1)}
        58:{2,4,7}:{(35,1),(41,1),(83,1),(88,1),(145,1),(207,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1),(84,1),(88,1),(205,1)}
        60:{2,6,7}:{(36,1),(37,1),(91,1)}
        61:{2,5,6}:{(36,1),(38,1),(80,1),(91,1),(92,1),(233,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(45,1),(91,1),(93,1),(161,1),(170,1),(232,1)}
        63:{1,4,6}:{(38,1),(40,1),(81,1),(92,1),(93,1)}
        64:{2,4,7}:{(39,1),(40,1),(93,1),(95,1)}
        65:{3,4,6}:{(40,1),(49,1),(82,1),(95,1)}
        66:{1,3,4,5,7}:{(41,1),(87,1),(96,1),(98,1),(139,1),(165,1),(168,1),(210,1),(215,1),(231,1),(264,1),(266,1),(271,1),(296,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(88,1),(98,1),(100,1),(160,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(89,1),(99,1),(161,1),(296,1),(305,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(90,1),(98,1),(99,1),(100,1),(141,1),(226,1),(278,1),(305,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(99,1),(157,1),(218,1),(262,1),(280,1)}
        71:{1,5,6,7}:{(45,1),(47,1),(101,1),(220,1)}
        72:{1,4,5,7}:{(45,1),(46,1),(48,1),(93,1),(101,1),(102,1)}
        73:{1,3,5,6}:{(46,1),(49,1),(94,1),(102,1),(103,1),(222,1),(276,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(50,1),(101,1),(104,1),(169,1),(230,1)}
        75:{3,5,7}:{(48,1),(49,1),(95,1),(104,1),(161,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(115,1),(172,1),(176,1),(255,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(58,1),(106,1),(109,1),(110,1),(197,1),(238,1),(244,1),(254,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(126,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(63,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(196,1),(238,1)}
        83:{1,4,7}:{(56,1),(58,1),(115,1),(176,1)}
        84:{1,3,6}:{(56,1),(57,1),(59,1),(115,1)}
        85:{1,2,6,7}:{(57,1),(60,1),(116,1),(118,1),(204,1),(235,1),(294,1),(311,1)}
        86:{1,2,5,6}:{(57,1),(61,1),(108,1),(117,1),(118,1),(119,1),(136,1),(236,1),(253,1),(293,1),(294,1)}
        87:{2,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(120,1),(122,1),(171,1),(180,1),(192,1),(237,1),(244,1),(282,1)}
        88:{2,4,6}:{(58,1),(59,1),(67,1),(115,1),(122,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(116,1),(121,1),(123,1),(235,1),(260,1),(294,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(111,1),(117,1),(122,1),(123,1),(124,1),(126,1),(173,1),(191,1),(194,1),(196,1),(236,1),(253,1),(260,1),(283,1),(294,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1),(125,1),(261,1)}
        92:{2,4,6}:{(61,1),(63,1),(112,1),(125,1),(126,1)}
        93:{1,4,7}:{(62,1),(63,1),(64,1),(125,1)}
        94:{1,3,4,6}:{(63,1),(65,1),(73,1),(113,1),(126,1),(127,1),(128,1),(199,1)}
        95:{3,4,7}:{(64,1),(65,1),(75,1)}
        96:{1,3,4,6}:{(66,1),(120,1),(130,1),(174,1),(203,1),(240,1),(245,1),(260,1),(283,1)}
        97:{1,3,4,6,7}:{(67,1),(68,1),(121,1),(131,1),(133,1),(197,1),(203,1),(260,1)}
        98:{1,3,5}:{(67,1),(122,1),(132,1),(196,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(123,1),(133,1),(256,1),(295,1)}
       100:{1,4,6}:{(69,1),(124,1),(132,1),(133,1),(176,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(74,1),(134,1),(251,1)}
       102:{1,3,5,7}:{(72,1),(73,1),(75,1),(127,1),(134,1),(135,1)}
       103:{2,5,6}:{(73,1),(128,1),(135,1),(136,1),(253,1),(294,1)}
       104:{3,6,7}:{(74,1),(75,1),(260,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(83,1),(137,1),(139,1),(140,1),(266,1),(279,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(150,1),(206,1),(278,1)}
       109:{2,3,5,7}:{(78,1),(87,1),(139,1),(143,1),(144,1),(231,1),(264,1),(277,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(88,1),(140,1),(143,1),(144,1),(145,1),(160,1),(214,1),(224,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(92,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(94,1),(146,1),(147,1),(211,1),(217,1),(222,1)}
       114:{1,4,5,7}:{(83,1),(87,1),(139,1),(148,1),(150,1),(210,1),(218,1),(266,1)}
       115:{1,4,6}:{(83,1),(84,1),(88,1),(150,1)}
       116:{1,3,6,7}:{(84,1),(85,1),(89,1),(149,1),(151,1),(276,1)}
       117:{1,3,5,6}:{(84,1),(86,1),(90,1),(141,1),(150,1),(151,1),(152,1),(154,1),(220,1),(222,1),(276,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(91,1),(151,1),(153,1),(170,1),(262,1),(277,1),(304,1)}
       119:{1,2,4,6}:{(86,1),(92,1),(142,1),(152,1),(153,1),(154,1),(164,1),(224,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6}:{(87,1),(96,1),(143,1),(148,1),(156,1),(205,1)}
       121:{2,4,6,7}:{(88,1),(89,1),(97,1),(149,1),(157,1),(159,1),(230,1)}
       122:{2,5}:{(88,1),(98,1),(150,1)}
       123:{2,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(151,1),(157,1),(159,1),(161,1),(225,1),(231,1),(262,1),(277,1),(296,1)}
       124:{2,4,6}:{(90,1),(100,1),(145,1),(152,1),(158,1),(159,1),(160,1),(207,1)}
       125:{2,4,7}:{(91,1),(92,1),(93,1),(161,1)}
       126:{3,6}:{(92,1),(146,1),(161,1)}
       127:{1,3,4,7}:{(93,1),(94,1),(95,1),(102,1),(161,1),(163,1),(232,1)}
       128:{2,4,6}:{(94,1),(103,1),(147,1),(162,1),(163,1),(164,1),(233,1)}
       129:{1,3,4,6,7}:{(96,1),(155,1),(165,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       130:{1,3,5,6}:{(96,1),(98,1),(156,1),(165,1),(166,1),(229,1)}
       131:{1,3,5,7}:{(97,1),(98,1),(157,1),(167,1),(168,1),(231,1)}
       132:{1,4,5}:{(98,1),(100,1),(158,1),(278,1)}
       133:{1,4,7}:{(99,1),(100,1),(159,1)}
       134:{1,3,6,7}:{(101,1),(102,1),(104,1),(169,1),(276,1)}
       135:{2,5,7}:{(102,1),(103,1),(163,1),(169,1),(170,1)}
       136:{1,5,6}:{(103,1),(164,1),(170,1),(278,1),(305,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(114,1),(171,1),(174,1),(175,1),(295,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(115,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(255,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(187,1),(237,1),(242,1),(247,1),(253,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(120,1),(174,1),(260,1),(283,1),(294,1)}
       144:{2,3,5}:{(110,1),(122,1),(175,1),(180,1),(196,1),(253,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(126,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(253,1)}
       148:{1,4,6}:{(114,1),(120,1),(174,1),(185,1)}
       149:{1,4,6,7}:{(115,1),(116,1),(121,1),(186,1),(188,1),(251,1)}
       150:{1,5}:{(115,1),(122,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(186,1),(188,1),(190,1)}
       152:{1,4,6}:{(117,1),(124,1),(176,1),(187,1),(188,1)}
       153:{1,2,4,7}:{(118,1),(119,1),(125,1),(188,1),(190,1),(200,1),(254,1),(261,1),(282,1),(310,1),(314,1)}
       154:{1,3,6}:{(119,1),(126,1),(177,1),(190,1),(191,1),(283,1)}
       155:{2,4,6,7}:{(120,1),(129,1),(178,1),(184,1),(192,1),(235,1),(244,1),(282,1)}
       156:{2,5,6}:{(120,1),(122,1),(130,1),(185,1),(192,1)}
       157:{2,5,7}:{(121,1),(122,1),(131,1),(186,1),(194,1)}
       158:{2,4,5}:{(122,1),(124,1),(132,1),(187,1),(196,1),(253,1)}
       159:{2,4,7}:{(123,1),(124,1),(133,1),(188,1),(197,1)}
       160:{3,4,6}:{(124,1),(126,1),(181,1),(196,1),(197,1),(238,1),(260,1),(283,1)}
       161:{3,7}:{(125,1),(126,1)}
       162:{2,3,6}:{(126,1),(128,1),(182,1),(198,1),(199,1)}
       163:{2,4,7}:{(127,1),(128,1),(135,1),(198,1),(200,1),(261,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(199,1),(200,1)}
       165:{1,3,5,7}:{(129,1),(130,1),(192,1),(202,1),(259,1)}
       166:{1,4,5,6}:{(130,1),(132,1),(193,1),(202,1),(203,1),(240,1),(293,1)}
       167:{1,3,5,6}:{(131,1),(194,1),(203,1),(260,1)}
       168:{1,4,5,7}:{(131,1),(132,1),(133,1),(195,1),(203,1),(295,1)}
       169:{2,6,7}:{(134,1),(135,1),(204,1),(294,1)}
       170:{1,5,7}:{(135,1),(136,1),(200,1),(204,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(148,1),(205,1),(305,1)}
       175:{1,3,5}:{(140,1),(144,1),(150,1),(206,1),(210,1),(264,1),(278,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(155,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(156,1),(209,1),(213,1),(214,1),(229,1),(275,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(162,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(278,1)}
       184:{1,4,6,7}:{(148,1),(155,1),(208,1),(218,1),(266,1)}
       185:{1,5,6}:{(148,1),(150,1),(156,1),(218,1)}
       186:{1,5,7}:{(149,1),(150,1),(157,1),(220,1)}
       187:{1,4,5}:{(150,1),(152,1),(158,1),(222,1)}
       188:{1,4,7}:{(151,1),(152,1),(159,1)}
       189:{1,3,4,6}:{(152,1),(154,1),(160,1),(211,1),(222,1),(223,1),(224,1),(276,1)}
       190:{1,3,7}:{(153,1),(154,1),(161,1),(225,1),(296,1)}
       191:{2,3,6}:{(154,1),(212,1),(224,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,7}:{(155,1),(156,1),(165,1),(218,1)}
       193:{2,4,5,6}:{(156,1),(158,1),(166,1),(214,1),(219,1),(228,1),(229,1),(230,1),(263,1),(275,1)}
       194:{2,5,6}:{(157,1),(167,1),(220,1),(230,1)}
       195:{2,4,5,7}:{(157,1),(158,1),(159,1),(168,1),(221,1),(230,1),(231,1),(277,1)}
       196:{3,5}:{(158,1),(160,1)}
       197:{3,4,7}:{(159,1),(160,1),(161,1),(231,1),(296,1)}
       198:{2,3,7}:{(161,1),(162,1),(163,1),(232,1)}
       199:{1,3,6}:{(162,1),(164,1),(217,1),(232,1),(233,1)}
       200:{1,4,7}:{(163,1),(164,1),(170,1),(232,1)}
       201:{1,3,5,6,7}:{(165,1),(167,1),(227,1),(234,1),(281,1)}
       202:{1,4,5,7}:{(165,1),(166,1),(228,1),(234,1),(266,1),(304,1)}
       203:{1,4,6}:{(167,1),(168,1),(230,1),(305,1)}
       204:{1,6,7}:{(169,1),(170,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(184,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(185,1),(236,1),(239,1),(240,1),(283,1),(293,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(253,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(192,1),(239,1),(244,1),(259,1),(292,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(196,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(199,1),(246,1),(247,1)}
       218:{1,5,7}:{(184,1),(185,1),(192,1)}
       219:{1,4,5,6}:{(185,1),(187,1),(193,1),(240,1),(249,1),(250,1),(251,1)}
       220:{1,5,6}:{(186,1),(194,1),(251,1)}
       221:{1,4,5,7}:{(186,1),(187,1),(188,1),(195,1),(251,1),(252,1)}
       222:{1,3,5}:{(187,1),(189,1),(196,1),(253,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(197,1),(252,1),(254,1)}
       224:{2,4,6}:{(189,1),(191,1),(242,1),(253,1),(254,1),(255,1),(294,1)}
       225:{2,3,7}:{(190,1),(191,1),(254,1),(256,1),(261,1),(314,1)}
       226:{1,3,6}:{(191,1),(243,1),(255,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(194,1),(201,1),(248,1),(258,1)}
       228:{2,4,5,7}:{(192,1),(193,1),(202,1),(244,1),(249,1),(258,1),(259,1),(282,1),(292,1)}
       229:{3,5,6}:{(193,1),(196,1),(245,1),(259,1),(260,1),(283,1)}
       230:{2,4,6}:{(194,1),(195,1),(203,1),(251,1),(260,1),(294,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(260,1)}
       232:{1,3,7}:{(198,1),(199,1),(200,1),(261,1)}
       233:{2,6}:{(199,1),(247,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(203,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(218,1),(262,1),(266,1),(296,1),(304,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(222,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(278,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(229,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(220,1),(227,1),(273,1)}
       249:{1,4,5,7}:{(218,1),(219,1),(228,1),(266,1),(273,1),(274,1)}
       250:{1,3,5,6}:{(219,1),(222,1),(229,1),(267,1),(274,1),(275,1),(276,1)}
       251:{1,4,6}:{(220,1),(221,1),(230,1),(276,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(223,1),(231,1),(276,1),(277,1)}
       253:{2,5}:{(222,1),(224,1),(278,1)}
       254:{2,4,7}:{(223,1),(224,1),(225,1),(277,1),(279,1)}
       255:{1,4,6}:{(224,1),(226,1),(269,1),(278,1),(279,1),(305,1)}
       256:{1,3,7}:{(225,1),(226,1),(279,1),(280,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(280,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(230,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,5,7}:{(228,1),(229,1),(271,1),(281,1),(296,1)}
       260:{3,6}:{(230,1),(231,1)}
       261:{2,7}:{(232,1),(233,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(250,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(253,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(259,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(251,1),(258,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(259,1),(286,1),(291,1),(292,1)}
       275:{2,5,6}:{(250,1),(253,1),(287,1),(292,1),(293,1),(294,1)}
       276:{1,3,6}:{(251,1),(252,1),(260,1),(294,1)}
       277:{2,5,7}:{(252,1),(253,1),(254,1),(294,1),(295,1)}
       278:{1,5}:{(253,1),(255,1)}
       279:{1,4,7}:{(254,1),(255,1),(256,1),(295,1)}
       280:{1,2,7}:{(256,1),(257,1),(261,1),(314,1)}
       281:{3,6,7}:{(258,1),(259,1),(260,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(274,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(275,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(278,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(276,1),(281,1),(303,1)}
       292:{2,5,7}:{(274,1),(275,1),(300,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(301,1),(304,1),(305,1)}
       294:{2,6}:{(276,1),(277,1),(305,1)}
       295:{1,5,7}:{(277,1),(278,1),(279,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(292,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(293,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,5,7}:{(292,1),(293,1),(310,1),(311,1)}
       305:{1,6}:{(294,1),(295,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(304,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 882 :   0:{1,3,4,5}:{(2,1),(3,1),(16,1),(41,1),(65,1),(102,1),(134,1),(191,1)}
         1:{1,4,5,6}:{(4,1),(6,1),(7,1),(77,1),(83,1),(175,1),(243,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(27,1),(31,1),(83,1),(164,1)}
         3:{2,4,5}:{(0,1),(5,1),(8,1),(10,1),(33,1),(92,1),(172,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(17,1),(47,1),(51,1),(120,1),(194,1),(195,1),(216,1),(292,1),(314,1),(380,1)}
         5:{2,3,5}:{(3,1),(11,1),(15,1),(16,1),(191,1)}
         6:{1,3,5,6}:{(1,1),(2,1),(13,1),(17,1),(18,1),(134,1),(226,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(19,1),(115,1),(121,1),(215,1)}
         8:{2,4,6}:{(2,1),(3,1),(15,1),(17,1),(20,1),(21,1),(57,1)}
         9:{1,3,4,7}:{(2,1),(18,1),(21,1),(52,1),(58,1),(121,1),(213,1)}
        10:{1,4,5}:{(3,1),(16,1),(20,1),(119,1),(209,1)}
        11:{2,3,4}:{(5,1),(24,1),(92,1),(137,1),(240,1)}
        12:{1,4,5,6}:{(4,1),(25,1),(26,1),(34,1),(83,1),(243,1),(255,1),(351,1)}
        13:{3,5,6}:{(4,1),(27,1),(29,1),(164,1),(261,1),(355,1)}
        14:{2,4,5,7}:{(4,1),(7,1),(26,1),(29,1),(30,1),(35,1),(78,1),(84,1),(165,1),(167,1),(168,1),(264,1),(357,1)}
        15:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(164,1)}
        16:{1,3,5}:{(5,1),(10,1),(24,1),(31,1),(33,1)}
        17:{2,5,6}:{(6,1),(8,1),(34,1),(35,1),(172,1),(269,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(9,1),(29,1),(35,1),(36,1)}
        19:{1,4,6,7}:{(7,1),(30,1),(36,1),(37,1),(160,1),(271,1)}
        20:{1,4,6}:{(8,1),(10,1),(31,1),(34,1),(39,1)}
        21:{2,4,7}:{(8,1),(9,1),(32,1),(35,1),(39,1),(91,1)}
        22:{1,2,4,5}:{(10,1),(33,1),(38,1),(40,1),(67,1),(92,1),(140,1),(144,1),(163,1),(172,1),(175,1),(231,1),(234,1),(322,1)}
        23:{2,3,4,6}:{(11,1),(15,1),(42,1),(43,1),(44,1),(51,1),(107,1),(111,1),(128,1),(181,1),(182,1),(212,1),(275,1),(300,1),(367,1)}
        24:{1,3,4}:{(11,1),(16,1),(45,1),(101,1),(119,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(302,1),(388,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(48,1),(49,1),(61,1),(121,1),(215,1)}
        27:{3,4,6}:{(13,1),(41,1),(51,1),(52,1),(380,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(17,1),(42,1),(47,1),(51,1),(53,1),(54,1),(107,1),(111,1),(194,1)}
        29:{3,5,7}:{(13,1),(14,1),(52,1),(55,1),(213,1)}
        30:{2,4,6,7}:{(14,1),(19,1),(49,1),(55,1),(56,1),(62,1),(116,1),(127,1),(314,1)}
        31:{1,3,6}:{(15,1),(16,1),(20,1),(57,1),(58,1)}
        32:{2,3,7}:{(15,1),(21,1),(58,1),(213,1)}
        33:{2,5}:{(16,1),(45,1),(57,1)}
        34:{1,5,6}:{(17,1),(20,1),(61,1),(209,1),(308,1)}
        35:{2,5,7}:{(17,1),(18,1),(21,1),(61,1),(62,1)}
        36:{1,3,6,7}:{(18,1),(19,1),(55,1),(62,1),(226,1)}
        37:{1,5,6,7}:{(19,1),(56,1),(215,1),(318,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(57,1),(60,1),(63,1),(64,1),(120,1),(128,1),(131,1),(211,1),(279,1),(365,1)}
        39:{1,4,7}:{(20,1),(21,1),(58,1),(61,1)}
        40:{1,3,5}:{(22,1),(59,1),(63,1),(65,1),(101,1),(191,1),(363,1)}
        41:{3,4,5}:{(27,1),(68,1),(261,1),(321,1),(412,1)}
        42:{2,3,5}:{(23,1),(68,1),(70,1),(172,1),(261,1),(346,1),(403,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(31,1),(70,1),(72,1),(73,1),(83,1),(141,1),(150,1),(154,1),(161,1),(164,1),(227,1),(234,1),(240,1),(333,1),(338,1),(344,1)}
        44:{2,3,4,7}:{(23,1),(32,1),(71,1),(73,1),(84,1),(155,1),(173,1),(230,1),(262,1),(323,1),(347,1)}
        45:{2,4}:{(24,1),(33,1),(74,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(66,1),(75,1),(76,1),(83,1),(154,1),(164,1)}
        47:{2,5,6}:{(25,1),(75,1),(77,1),(78,1),(346,1),(417,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(76,1),(78,1),(79,1)}
        49:{1,4,6,7}:{(26,1),(30,1),(79,1),(80,1),(95,1),(351,1)}
        50:{1,2,5}:{(33,1),(67,1),(81,1),(82,1),(231,1)}
        51:{2,4,6}:{(27,1),(28,1),(68,1),(83,1),(84,1)}
        52:{3,4,7}:{(27,1),(29,1),(84,1),(357,1)}
        53:{1,3,5,6}:{(28,1),(31,1),(34,1),(70,1),(77,1),(83,1),(86,1),(87,1),(150,1),(154,1),(164,1),(243,1),(339,1)}
        54:{2,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(78,1),(84,1),(87,1),(88,1),(155,1),(167,1)}
        55:{3,6,7}:{(29,1),(30,1),(355,1)}
        56:{2,5,6,7}:{(30,1),(37,1),(80,1),(89,1),(167,1),(264,1),(359,1)}
        57:{2,6}:{(31,1),(33,1),(91,1)}
        58:{1,3,7}:{(31,1),(32,1),(39,1),(91,1)}
        59:{2,3,5}:{(33,1),(40,1),(74,1),(82,1),(90,1),(92,1),(137,1),(172,1),(231,1)}
        60:{1,2,5,6}:{(34,1),(38,1),(86,1),(93,1),(94,1),(140,1),(172,1),(236,1),(250,1),(258,1),(269,1),(325,1)}
        61:{1,5,7}:{(34,1),(35,1),(39,1),(95,1)}
        62:{2,6,7}:{(35,1),(36,1),(95,1),(269,1)}
        63:{1,3,6}:{(38,1),(40,1),(90,1),(97,1),(164,1),(398,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(91,1),(94,1),(97,1),(165,1),(173,1),(176,1),(260,1),(327,1),(401,1)}
        65:{1,3,4}:{(40,1),(92,1),(234,1),(240,1),(321,1)}
        66:{1,3,4,5}:{(41,1),(46,1),(99,1),(102,1),(184,1),(191,1),(282,1),(302,1)}
        67:{1,2,4}:{(45,1),(50,1),(101,1),(119,1),(183,1)}
        68:{2,4,5}:{(41,1),(42,1),(51,1),(102,1),(275,1)}
        69:{3,4,5,7}:{(41,1),(52,1),(103,1),(104,1),(123,1),(310,1),(364,1),(393,1),(427,1)}
        70:{1,3,5}:{(42,1),(43,1),(102,1),(105,1),(191,1),(209,1),(375,1),(379,1),(383,1)}
        71:{2,3,5,7}:{(42,1),(44,1),(103,1),(106,1),(107,1),(220,1),(310,1),(386,1)}
        72:{2,4,6}:{(43,1),(45,1),(57,1),(105,1),(108,1),(109,1),(196,1),(198,1),(202,1),(274,1)}
        73:{1,3,4,7}:{(43,1),(44,1),(58,1),(106,1),(109,1),(121,1),(189,1),(203,1),(210,1),(213,1),(284,1),(290,1),(384,1)}
        74:{2,3}:{(45,1),(101,1)}
        75:{2,4,6}:{(46,1),(47,1),(99,1),(111,1),(112,1),(113,1),(202,1)}
        76:{1,3,4,7}:{(46,1),(48,1),(52,1),(113,1),(121,1),(203,1),(213,1)}
        77:{1,5,6}:{(47,1),(112,1),(115,1),(383,1),(436,1)}
        78:{2,5,7}:{(47,1),(48,1),(113,1),(115,1),(116,1)}
        79:{1,3,6,7}:{(48,1),(49,1),(55,1),(116,1),(388,1)}
        80:{1,5,6,7}:{(49,1),(56,1),(215,1),(390,1)}
        81:{1,2,6}:{(50,1),(57,1),(117,1),(118,1),(279,1)}
        82:{1,3,5}:{(50,1),(59,1),(101,1),(117,1),(119,1),(209,1)}
        83:{1,4,6}:{(51,1),(53,1),(102,1),(120,1),(121,1),(380,1)}
        84:{2,4,7}:{(51,1),(52,1),(54,1),(121,1)}
        85:{3,4,6,7}:{(52,1),(55,1),(104,1),(122,1),(123,1),(127,1)}
        86:{2,5,6}:{(53,1),(57,1),(105,1),(120,1),(125,1),(198,1),(202,1)}
        87:{1,3,5,7}:{(53,1),(54,1),(58,1),(61,1),(115,1),(121,1),(125,1),(126,1),(203,1),(213,1),(215,1),(312,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(107,1),(116,1),(122,1),(126,1)}
        89:{3,5,6,7}:{(55,1),(56,1),(123,1),(127,1),(312,1),(392,1)}
        90:{2,3,6}:{(57,1),(59,1),(63,1),(117,1),(128,1),(129,1),(279,1)}
        91:{2,7}:{(57,1),(58,1)}
        92:{2,4}:{(59,1),(65,1),(119,1)}
        93:{1,3,5,6}:{(60,1),(63,1),(124,1),(131,1),(132,1),(134,1),(186,1),(226,1),(285,1),(298,1),(318,1),(375,1),(383,1),(436,1)}
        94:{1,2,5,7}:{(60,1),(61,1),(64,1),(125,1),(132,1),(133,1),(220,1),(299,1),(307,1),(368,1)}
        95:{1,6,7}:{(61,1),(62,1),(308,1)}
        96:{1,3,4,6}:{(63,1),(65,1),(128,1),(131,1),(134,1),(135,1),(212,1),(226,1)}
        97:{1,3,7}:{(63,1),(64,1),(129,1),(213,1),(425,1)}
        98:{1,3,4,5}:{(65,1),(130,1),(134,1),(136,1),(190,1),(283,1),(289,1),(363,1)}
        99:{2,4,5}:{(66,1),(75,1),(138,1),(139,1),(232,1),(329,1),(346,1)}
       100:{1,2,4,6}:{(67,1),(72,1),(81,1),(140,1),(141,1),(142,1),(161,1),(229,1),(234,1),(236,1),(250,1),(319,1),(333,1),(344,1)}
       101:{1,3}:{(67,1),(74,1),(137,1)}
       102:{1,4,5}:{(68,1),(70,1),(83,1),(144,1),(234,1),(412,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(71,1),(84,1),(145,1),(146,1),(167,1),(323,1),(403,1)}
       104:{3,4,6}:{(69,1),(146,1),(147,1),(355,1),(421,1)}
       105:{2,5}:{(70,1),(72,1)}
       106:{1,3,5,7}:{(70,1),(71,1),(73,1),(145,1),(149,1),(150,1),(241,1),(259,1),(415,1)}
       107:{2,3,6}:{(71,1),(146,1),(150,1),(269,1),(355,1),(417,1)}
       108:{2,3,6}:{(72,1),(74,1),(141,1),(148,1),(152,1),(164,1),(320,1)}
       109:{2,4,7}:{(72,1),(73,1),(91,1),(149,1),(152,1),(252,1)}
       110:{2,3,4}:{(74,1),(92,1),(143,1),(153,1),(321,1)}
       111:{2,3,6}:{(75,1),(138,1),(154,1),(155,1),(164,1)}
       112:{1,4,6}:{(75,1),(77,1),(139,1),(154,1),(157,1)}
       113:{2,4,7}:{(75,1),(76,1),(78,1),(155,1),(157,1),(252,1)}
       114:{1,2,5,6}:{(77,1),(81,1),(86,1),(140,1),(156,1),(158,1),(159,1),(236,1),(325,1),(346,1),(414,1),(417,1)}
       115:{1,5,7}:{(77,1),(78,1),(157,1),(160,1)}
       116:{2,6,7}:{(78,1),(79,1),(160,1),(417,1)}
       117:{1,3,6}:{(81,1),(82,1),(90,1),(161,1),(162,1)}
       118:{1,2,7}:{(81,1),(91,1),(162,1),(327,1)}
       119:{1,4}:{(82,1),(92,1)}
       120:{2,4,6}:{(83,1),(86,1),(144,1),(164,1),(165,1)}
       121:{1,4,7}:{(83,1),(84,1),(87,1),(165,1),(357,1)}
       122:{2,4,6,7}:{(84,1),(85,1),(88,1),(146,1),(166,1),(167,1)}
       123:{3,5,7}:{(85,1),(147,1),(167,1),(168,1)}
       124:{2,3,5,6}:{(86,1),(90,1),(93,1),(148,1),(158,1),(164,1),(169,1),(170,1),(172,1),(228,1),(246,1),(251,1),(261,1),(269,1),(324,1),(325,1),(339,1),(342,1),(346,1),(355,1),(359,1),(398,1),(403,1),(417,1),(443,1)}
       125:{2,5,7}:{(86,1),(87,1),(91,1),(165,1),(171,1),(252,1)}
       126:{1,3,6,7}:{(87,1),(88,1),(95,1),(150,1),(160,1),(166,1),(171,1),(263,1)}
       127:{4,6,7}:{(89,1),(168,1),(357,1),(421,1)}
       128:{2,4,6}:{(90,1),(92,1),(96,1),(161,1),(172,1),(173,1),(269,1)}
       129:{2,3,7}:{(90,1),(91,1),(97,1),(162,1),(173,1),(327,1)}
       130:{2,4,5}:{(92,1),(98,1),(153,1),(163,1),(172,1),(174,1),(231,1)}
       131:{1,4,6}:{(93,1),(169,1),(175,1),(176,1),(234,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(97,1),(170,1),(176,1),(177,1),(272,1),(345,1),(415,1)}
       133:{1,2,6,7}:{(94,1),(95,1),(171,1),(177,1),(236,1),(269,1),(353,1),(404,1)}
       134:{1,3,5}:{(96,1),(172,1),(175,1),(261,1)}
       135:{1,3,4,7}:{(96,1),(97,1),(173,1),(176,1),(179,1),(262,1)}
       136:{1,3,4,6}:{(98,1),(174,1),(178,1),(180,1),(239,1),(331,1),(336,1),(398,1)}
       137:{2,3}:{(101,1),(183,1)}
       138:{2,3,5}:{(99,1),(111,1),(181,1),(184,1),(191,1)}
       139:{1,4,5}:{(99,1),(112,1),(184,1),(370,1),(383,1)}
       140:{1,2,5}:{(100,1),(105,1),(186,1),(209,1),(277,1),(375,1),(383,1)}
       141:{1,3,6}:{(100,1),(101,1),(108,1),(182,1),(186,1),(189,1),(361,1)}
       142:{1,2,4,7}:{(100,1),(109,1),(118,1),(187,1),(189,1),(210,1),(278,1),(284,1),(299,1),(384,1)}
       143:{1,3,4}:{(101,1),(110,1),(119,1),(183,1),(190,1)}
       144:{2,4,5}:{(102,1),(105,1),(120,1),(191,1),(196,1)}
       145:{1,4,5,7}:{(102,1),(103,1),(106,1),(121,1),(192,1),(193,1),(215,1),(284,1),(375,1)}
       146:{2,4,6}:{(103,1),(104,1),(107,1),(193,1),(194,1)}
       147:{3,5,6}:{(104,1),(123,1),(194,1),(195,1),(427,1)}
       148:{2,3,5}:{(105,1),(108,1),(186,1),(191,1),(196,1)}
       149:{2,5,7}:{(105,1),(106,1),(109,1),(198,1)}
       150:{1,3,6}:{(106,1),(107,1),(193,1),(198,1),(291,1),(308,1),(436,1)}
       151:{2,3,4,6}:{(108,1),(110,1),(128,1),(188,1),(196,1),(199,1),(200,1),(201,1),(212,1),(293,1),(295,1),(297,1),(300,1),(362,1),(424,1)}
       152:{2,3,7}:{(108,1),(109,1),(189,1),(213,1)}
       153:{2,3,5}:{(110,1),(130,1),(190,1),(201,1),(363,1)}
       154:{1,3,6}:{(111,1),(112,1),(184,1),(202,1),(203,1)}
       155:{2,3,7}:{(111,1),(113,1),(203,1),(213,1)}
       156:{1,2,4,6}:{(112,1),(114,1),(120,1),(185,1),(202,1),(204,1),(205,1),(206,1),(300,1),(365,1),(430,1),(449,1)}
       157:{1,4,7}:{(112,1),(113,1),(115,1),(203,1)}
       158:{1,3,5,6}:{(114,1),(117,1),(124,1),(186,1),(204,1),(206,1),(207,1),(209,1),(285,1),(302,1),(308,1),(375,1),(388,1),(390,1)}
       159:{1,2,5,7}:{(114,1),(115,1),(118,1),(125,1),(205,1),(207,1),(208,1),(368,1),(386,1),(435,1)}
       160:{1,6,7}:{(115,1),(116,1),(436,1)}
       161:{1,4,6}:{(117,1),(119,1),(128,1),(209,1),(210,1),(308,1)}
       162:{1,3,7}:{(117,1),(118,1),(129,1),(210,1)}
       163:{1,4,5}:{(119,1),(130,1),(190,1),(209,1),(211,1)}
       164:{3,6}:{(120,1),(191,1),(213,1)}
       165:{2,4,7}:{(120,1),(121,1),(125,1),(213,1)}
       166:{1,4,6,7}:{(121,1),(122,1),(126,1),(193,1),(214,1),(215,1)}
       167:{2,5,7}:{(122,1),(123,1),(194,1),(215,1)}
       168:{4,5,7}:{(123,1),(127,1),(195,1)}
       169:{2,4,6}:{(124,1),(131,1),(196,1),(206,1),(212,1),(216,1),(217,1),(275,1),(380,1),(452,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(207,1),(213,1),(217,1),(218,1),(220,1),(301,1),(310,1),(312,1),(315,1),(368,1),(386,1),(425,1),(451,1)}
       171:{2,6,7}:{(125,1),(126,1),(198,1)}
       172:{2,5}:{(128,1),(134,1),(209,1)}
       173:{2,4,7}:{(128,1),(129,1),(135,1),(210,1),(220,1)}
       174:{2,4,6}:{(130,1),(136,1),(201,1),(211,1),(219,1),(221,1),(279,1)}
       175:{1,4,5}:{(131,1),(134,1),(216,1),(375,1),(383,1)}
       176:{1,4,7}:{(131,1),(132,1),(217,1)}
       177:{1,3,6,7}:{(132,1),(133,1),(218,1),(224,1),(226,1),(285,1),(436,1)}
       178:{1,3,5,6}:{(134,1),(136,1),(219,1),(222,1),(225,1),(226,1),(309,1)}
       179:{1,3,5,7}:{(134,1),(135,1),(220,1),(223,1),(226,1),(310,1)}
       180:{1,3,4,7}:{(136,1),(221,1),(225,1),(288,1),(373,1),(377,1),(425,1)}
       181:{2,3,4}:{(138,1),(227,1),(240,1),(329,1),(395,1)}
       182:{2,3,6}:{(137,1),(141,1),(228,1),(229,1),(230,1),(395,1),(398,1)}
       183:{2,4}:{(137,1),(143,1),(231,1)}
       184:{1,3,5}:{(138,1),(139,1),(154,1),(227,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(140,1),(144,1),(156,1),(232,1),(233,1),(234,1),(255,1),(319,1),(322,1),(329,1),(346,1),(405,1),(439,1)}
       186:{1,3,5}:{(140,1),(141,1),(148,1),(228,1),(234,1)}
       187:{1,2,5,7}:{(140,1),(142,1),(149,1),(235,1),(236,1),(259,1),(326,1),(415,1)}
       188:{1,3,4,6}:{(141,1),(143,1),(151,1),(161,1),(229,1),(234,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(335,1),(344,1),(396,1),(398,1),(400,1),(440,1)}
       189:{1,3,7}:{(141,1),(142,1),(152,1),(230,1)}
       190:{1,3,5}:{(143,1),(153,1),(163,1),(231,1),(239,1)}
       191:{3,5}:{(144,1),(164,1),(240,1)}
       192:{2,4,5,7}:{(144,1),(145,1),(149,1),(165,1),(241,1),(242,1),(245,1),(264,1),(342,1),(357,1),(412,1)}
       193:{1,4,6}:{(145,1),(146,1),(150,1),(242,1),(243,1)}
       194:{2,5,6}:{(146,1),(147,1),(167,1),(243,1),(403,1)}
       195:{4,5,6}:{(147,1),(168,1),(421,1),(444,1)}
       196:{2,4}:{(148,1),(234,1),(240,1)}
       197:{2,3,5,7}:{(148,1),(149,1),(152,1),(235,1),(241,1),(245,1),(246,1),(342,1)}
       198:{2,6}:{(149,1),(150,1)}
       199:{2,3,5}:{(151,1),(172,1),(237,1),(244,1),(261,1),(342,1),(346,1)}
       200:{2,3,4,7}:{(151,1),(152,1),(173,1),(238,1),(245,1),(248,1),(249,1),(262,1),(340,1),(347,1),(441,1)}
       201:{2,3,6}:{(153,1),(174,1),(239,1),(249,1),(398,1)}
       202:{2,6}:{(154,1),(232,1),(252,1)}
       203:{1,3,7}:{(154,1),(155,1),(157,1),(252,1)}
       204:{1,3,6}:{(156,1),(164,1),(233,1),(251,1),(254,1),(398,1)}
       205:{1,2,4,7}:{(156,1),(157,1),(159,1),(165,1),(252,1),(254,1),(256,1),(347,1),(401,1),(446,1),(453,1)}
       206:{1,4,6}:{(158,1),(169,1),(234,1),(255,1),(256,1)}
       207:{1,3,5,7}:{(158,1),(159,1),(162,1),(170,1),(254,1),(256,1),(257,1),(259,1),(352,1)}
       208:{1,2,6,7}:{(159,1),(160,1),(171,1),(236,1),(257,1),(404,1),(417,1),(448,1)}
       209:{1,5}:{(161,1),(172,1)}
       210:{1,4,7}:{(161,1),(162,1),(173,1),(259,1)}
       211:{1,4,6}:{(163,1),(174,1),(239,1),(258,1),(260,1)}
       212:{3,4,6}:{(164,1),(169,1),(240,1),(261,1),(262,1),(321,1),(355,1),(398,1)}
       213:{3,7}:{(164,1),(165,1)}
       214:{2,4,6,7}:{(165,1),(166,1),(171,1),(242,1),(263,1),(264,1),(357,1)}
       215:{1,5,7}:{(166,1),(167,1),(243,1),(264,1)}
       216:{2,4,5}:{(169,1),(172,1),(175,1),(255,1),(261,1),(342,1),(346,1),(403,1),(412,1),(444,1)}
       217:{2,4,7}:{(169,1),(170,1),(176,1),(256,1),(262,1),(357,1),(454,1)}
       218:{2,3,6,7}:{(170,1),(171,1),(177,1),(246,1),(257,1),(263,1),(267,1),(269,1),(324,1),(355,1),(404,1),(417,1),(442,1)}
       219:{2,5,6}:{(172,1),(174,1),(178,1),(258,1),(268,1),(269,1)}
       220:{2,5,7}:{(172,1),(173,1),(179,1),(259,1),(269,1)}
       221:{2,4,7}:{(174,1),(180,1),(249,1),(260,1),(268,1),(327,1)}
       222:{1,4,5,6}:{(175,1),(178,1),(265,1),(270,1),(271,1),(331,1),(409,1),(414,1)}
       223:{1,4,5,7}:{(175,1),(176,1),(179,1),(266,1),(271,1),(272,1),(415,1)}
       224:{1,4,6,7}:{(176,1),(177,1),(267,1),(271,1),(272,1),(333,1)}
       225:{1,3,5,7}:{(178,1),(180,1),(268,1),(270,1),(273,1),(354,1)}
       226:{1,3,6}:{(179,1),(269,1),(271,1),(355,1)}
       227:{1,3,4}:{(181,1),(184,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(182,1),(186,1),(275,1),(277,1),(363,1)}
       229:{2,4,6}:{(182,1),(183,1),(188,1),(275,1),(277,1),(278,1),(279,1),(369,1),(422,1),(449,1)}
       230:{2,3,7}:{(182,1),(189,1),(278,1),(425,1)}
       231:{2,5}:{(183,1),(190,1),(279,1)}
       232:{2,5}:{(184,1),(202,1),(274,1)}
       233:{1,3,5}:{(185,1),(191,1),(204,1),(281,1),(282,1),(361,1),(363,1)}
       234:{1,4}:{(186,1),(196,1),(275,1)}
       235:{1,3,5,7}:{(186,1),(187,1),(189,1),(197,1),(276,1),(284,1),(285,1),(375,1)}
       236:{1,2,6}:{(187,1),(198,1),(285,1),(308,1),(369,1),(436,1)}
       237:{1,3,5}:{(188,1),(199,1),(209,1),(277,1),(283,1),(363,1),(375,1),(383,1),(427,1)}
       238:{1,3,4,7}:{(188,1),(189,1),(200,1),(210,1),(278,1),(284,1),(287,1),(288,1),(364,1),(373,1),(384,1),(425,1),(450,1)}
       239:{1,3,6}:{(190,1),(201,1),(211,1),(279,1),(288,1)}
       240:{3,4}:{(191,1),(196,1)}
       241:{3,5,7}:{(191,1),(192,1),(213,1),(290,1),(291,1),(379,1)}
       242:{2,4,6}:{(192,1),(193,1),(198,1),(291,1),(292,1),(380,1)}
       243:{1,5,6}:{(193,1),(194,1),(215,1),(292,1),(375,1)}
       244:{2,4,5}:{(196,1),(199,1),(283,1),(289,1),(293,1)}
       245:{2,4,7}:{(196,1),(197,1),(284,1),(290,1),(295,1)}
       246:{2,3,6}:{(197,1),(198,1),(285,1),(291,1),(295,1)}
       247:{2,3,5,6}:{(199,1),(201,1),(219,1),(286,1),(293,1),(296,1),(297,1),(309,1),(382,1),(385,1),(424,1)}
       248:{2,3,5,7}:{(199,1),(200,1),(220,1),(287,1),(294,1),(297,1),(310,1),(386,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(425,1)}
       250:{1,2,6}:{(202,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,3,6}:{(202,1),(204,1),(281,1),(298,1),(300,1),(301,1),(449,1)}
       252:{2,7}:{(202,1),(203,1)}
       253:{1,3,4,6}:{(204,1),(206,1),(212,1),(282,1),(300,1),(302,1),(303,1),(388,1)}
       254:{1,3,7}:{(204,1),(205,1),(213,1),(301,1),(425,1)}
       255:{1,4,5}:{(206,1),(209,1),(216,1),(302,1),(375,1)}
       256:{1,4,7}:{(206,1),(207,1),(217,1)}
       257:{1,3,6,7}:{(207,1),(208,1),(218,1),(285,1),(306,1),(308,1),(388,1)}
       258:{1,5,6}:{(209,1),(211,1),(219,1),(307,1),(308,1)}
       259:{1,5,7}:{(209,1),(210,1),(220,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(307,1)}
       261:{3,5}:{(212,1),(216,1)}
       262:{3,4,7}:{(212,1),(213,1),(217,1),(310,1),(425,1)}
       263:{3,6,7}:{(213,1),(214,1),(291,1),(312,1)}
       264:{2,5,7}:{(214,1),(215,1),(292,1),(312,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(222,1),(293,1),(304,1),(309,1),(313,1),(314,1),(365,1),(382,1),(385,1),(429,1),(434,1),(452,1)}
       266:{2,4,5,7}:{(216,1),(217,1),(220,1),(223,1),(305,1),(310,1),(314,1),(315,1),(386,1),(393,1)}
       267:{2,4,6,7}:{(217,1),(218,1),(224,1),(295,1),(306,1),(311,1),(314,1),(315,1),(367,1)}
       268:{2,5,7}:{(219,1),(221,1),(225,1),(307,1),(316,1)}
       269:{2,6}:{(220,1),(226,1),(308,1)}
       270:{1,4,5,7}:{(222,1),(225,1),(313,1),(317,1),(373,1),(432,1),(435,1)}
       271:{1,4,6}:{(223,1),(226,1),(314,1),(318,1),(436,1)}
       272:{1,5,7}:{(224,1),(315,1),(318,1),(375,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(317,1),(391,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,4}:{(228,1),(234,1),(321,1)}
       276:{2,3,5,7}:{(228,1),(230,1),(235,1),(323,1),(324,1),(326,1),(399,1),(403,1)}
       277:{2,5}:{(229,1),(237,1)}
       278:{2,4,7}:{(229,1),(230,1),(238,1),(326,1),(327,1),(453,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(251,1),(320,1),(328,1),(329,1),(346,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(234,1),(240,1),(321,1),(329,1)}
       283:{1,4,5}:{(234,1),(237,1),(244,1),(322,1),(331,1),(444,1)}
       284:{1,4,7}:{(234,1),(235,1),(245,1),(323,1),(333,1)}
       285:{1,3,6}:{(235,1),(236,1),(246,1),(324,1),(333,1)}
       286:{1,3,5,6}:{(237,1),(239,1),(247,1),(258,1),(325,1),(331,1),(334,1),(335,1),(398,1),(409,1),(414,1),(440,1),(443,1)}
       287:{1,3,5,7}:{(237,1),(238,1),(248,1),(259,1),(326,1),(332,1),(335,1),(399,1),(415,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{3,4,5}:{(240,1),(244,1),(261,1),(336,1),(444,1)}
       290:{3,4,7}:{(240,1),(241,1),(245,1),(338,1),(357,1)}
       291:{3,6}:{(241,1),(242,1)}
       292:{2,5,6}:{(242,1),(243,1),(264,1),(339,1),(342,1)}
       293:{2,4,6}:{(244,1),(247,1),(331,1),(336,1),(340,1)}
       294:{2,4,5,7}:{(244,1),(245,1),(248,1),(332,1),(337,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(245,1),(246,1),(333,1),(338,1),(342,1)}
       296:{2,3,5,7}:{(247,1),(249,1),(268,1),(334,1),(340,1),(343,1),(354,1),(413,1),(416,1),(441,1)}
       297:{2,3,6}:{(248,1),(269,1),(335,1),(341,1),(355,1),(417,1)}
       298:{1,3,6}:{(250,1),(251,1),(328,1),(344,1),(345,1)}
       299:{1,2,7}:{(250,1),(252,1),(345,1),(453,1)}
       300:{2,4,6}:{(251,1),(253,1),(329,1),(344,1),(346,1),(347,1),(417,1)}
       301:{2,3,7}:{(251,1),(252,1),(254,1),(345,1),(347,1),(453,1)}
       302:{1,3,5}:{(253,1),(255,1),(261,1),(346,1)}
       303:{1,3,4,7}:{(253,1),(254,1),(256,1),(262,1),(347,1),(349,1)}
       304:{1,4,5,6}:{(255,1),(258,1),(265,1),(331,1),(348,1),(350,1),(351,1),(409,1)}
       305:{1,4,5,7}:{(255,1),(256,1),(259,1),(266,1),(349,1),(351,1),(352,1)}
       306:{1,4,6,7}:{(256,1),(257,1),(267,1),(333,1),(351,1),(352,1)}
       307:{1,5,7}:{(258,1),(260,1),(268,1),(353,1)}
       308:{1,6}:{(259,1),(269,1)}
       309:{3,5,6}:{(261,1),(265,1),(336,1),(354,1),(355,1),(398,1)}
       310:{3,5,7}:{(261,1),(262,1),(266,1),(355,1)}
       311:{3,4,6,7}:{(262,1),(263,1),(267,1),(338,1),(355,1),(356,1),(357,1),(400,1),(421,1),(442,1),(454,1)}
       312:{3,5,7}:{(263,1),(264,1),(339,1),(357,1)}
       313:{2,4,5,7}:{(265,1),(268,1),(270,1),(340,1),(350,1),(354,1),(358,1),(401,1),(413,1),(416,1),(445,1),(447,1),(454,1)}
       314:{2,4,6}:{(266,1),(269,1),(271,1),(351,1),(355,1),(359,1),(417,1),(421,1)}
       315:{2,5,7}:{(267,1),(272,1),(342,1),(352,1),(356,1),(359,1),(403,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,4,6,7}:{(270,1),(271,1),(273,1),(358,1),(360,1),(448,1)}
       318:{1,5,6}:{(271,1),(272,1),(359,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(275,1),(363,1)}
       322:{2,4,5}:{(275,1),(277,1),(283,1),(363,1),(365,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(364,1),(367,1)}
       324:{2,3,6}:{(276,1),(285,1),(367,1),(369,1),(426,1)}
       325:{2,5,6}:{(277,1),(279,1),(286,1),(365,1),(368,1),(369,1),(449,1)}
       326:{2,5,7}:{(277,1),(278,1),(287,1),(369,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(298,1),(361,1),(370,1),(383,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(283,1),(289,1),(302,1),(363,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(286,1),(293,1),(365,1),(373,1),(452,1)}
       332:{1,4,5,7}:{(283,1),(284,1),(287,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(284,1),(285,1),(295,1),(367,1),(375,1)}
       334:{1,3,5,7}:{(286,1),(288,1),(296,1),(307,1),(368,1),(373,1),(376,1),(425,1),(432,1),(435,1),(450,1),(451,1)}
       335:{1,3,6}:{(287,1),(297,1),(308,1),(369,1),(374,1),(426,1),(436,1)}
       336:{3,4,6}:{(289,1),(293,1),(309,1),(377,1),(452,1)}
       337:{3,4,5,7}:{(289,1),(290,1),(294,1),(310,1),(377,1),(378,1),(379,1),(393,1),(433,1)}
       338:{3,4,6}:{(290,1),(291,1),(295,1),(379,1),(380,1)}
       339:{3,5,6}:{(291,1),(292,1),(312,1),(379,1),(380,1)}
       340:{2,4,7}:{(293,1),(296,1),(373,1),(377,1)}
       341:{2,4,6}:{(294,1),(297,1),(374,1),(378,1),(382,1)}
       342:{2,5}:{(295,1),(375,1),(379,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(381,1),(391,1),(437,1)}
       344:{1,4,6}:{(298,1),(300,1),(370,1),(383,1),(384,1),(436,1)}
       345:{1,3,7}:{(298,1),(299,1),(301,1),(384,1)}
       346:{2,5}:{(300,1),(302,1),(383,1)}
       347:{2,4,7}:{(300,1),(301,1),(303,1),(384,1),(386,1)}
       348:{1,3,5,6}:{(302,1),(304,1),(309,1),(372,1),(385,1),(387,1),(388,1)}
       349:{1,3,5,7}:{(302,1),(303,1),(305,1),(310,1),(386,1),(388,1)}
       350:{1,4,5,7}:{(304,1),(307,1),(313,1),(373,1),(387,1),(389,1),(432,1)}
       351:{1,4,6}:{(305,1),(308,1),(314,1),(388,1),(390,1)}
       352:{1,5,7}:{(306,1),(315,1),(375,1),(390,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{3,5,7}:{(309,1),(313,1),(377,1),(391,1),(425,1)}
       355:{3,6}:{(310,1),(314,1)}
       356:{3,5,7}:{(311,1),(315,1),(379,1),(392,1),(393,1),(427,1)}
       357:{4,7}:{(312,1),(380,1)}
       358:{2,4,6,7}:{(313,1),(314,1),(316,1),(317,1),(389,1),(391,1),(394,1),(437,1),(438,1)}
       359:{2,5,6}:{(314,1),(315,1),(318,1),(390,1),(392,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,5}:{(321,1),(322,1),(398,1)}
       364:{3,4,7}:{(321,1),(323,1),(399,1),(400,1),(454,1)}
       365:{2,4,6}:{(322,1),(325,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(322,1),(323,1),(326,1),(332,1),(399,1),(401,1),(402,1),(403,1),(444,1),(445,1),(454,1)}
       367:{2,4,6}:{(323,1),(324,1),(333,1),(400,1),(403,1)}
       368:{2,5,7}:{(325,1),(327,1),(334,1),(401,1),(404,1),(453,1)}
       369:{2,6}:{(326,1),(335,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(346,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(331,1),(336,1),(348,1),(398,1),(406,1),(407,1),(440,1)}
       373:{1,4,7}:{(331,1),(334,1),(340,1),(401,1),(454,1)}
       374:{1,4,6}:{(332,1),(335,1),(341,1),(402,1),(409,1)}
       375:{1,5}:{(333,1),(342,1),(403,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(408,1),(442,1),(448,1)}
       377:{3,4,7}:{(336,1),(340,1),(354,1),(454,1)}
       378:{3,4,6}:{(337,1),(341,1),(355,1),(411,1),(421,1)}
       379:{3,5}:{(338,1),(342,1),(412,1)}
       380:{4,6}:{(339,1),(357,1),(412,1)}
       381:{2,4,6,7}:{(340,1),(341,1),(343,1),(408,1),(410,1),(413,1)}
       382:{2,5,6}:{(341,1),(342,1),(409,1),(411,1),(413,1)}
       383:{1,5}:{(344,1),(346,1)}
       384:{1,4,7}:{(344,1),(345,1),(347,1),(415,1)}
       385:{2,5,6}:{(346,1),(348,1),(406,1),(414,1),(416,1),(417,1)}
       386:{2,5,7}:{(346,1),(347,1),(349,1),(415,1),(417,1)}
       387:{1,3,5,7}:{(348,1),(350,1),(354,1),(407,1),(416,1),(418,1)}
       388:{1,3,6}:{(349,1),(351,1),(355,1),(417,1)}
       389:{1,4,6,7}:{(350,1),(351,1),(353,1),(358,1),(418,1),(419,1)}
       390:{1,5,6}:{(351,1),(352,1),(359,1)}
       391:{3,6,7}:{(354,1),(355,1),(358,1)}
       392:{3,5,6}:{(355,1),(356,1),(359,1),(421,1)}
       393:{4,5,7}:{(356,1),(357,1),(412,1),(421,1),(444,1),(454,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(420,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(363,1),(371,1),(423,1),(424,1)}
       398:{3,6}:{(363,1),(365,1),(425,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,4,6}:{(364,1),(367,1),(426,1),(427,1),(452,1)}
       401:{2,4,7}:{(365,1),(368,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(369,1),(374,1),(426,1),(429,1),(452,1)}
       403:{2,5}:{(367,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(383,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(385,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(425,1),(431,1),(450,1)}
       408:{1,4,6,7}:{(373,1),(374,1),(376,1),(381,1),(428,1),(432,1)}
       409:{1,5,6}:{(374,1),(375,1),(382,1),(429,1),(432,1)}
       410:{3,4,6,7}:{(377,1),(378,1),(381,1),(391,1),(433,1),(438,1)}
       411:{3,5,6}:{(378,1),(379,1),(382,1),(433,1),(434,1)}
       412:{4,5}:{(379,1),(380,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(433,1)}
       414:{1,5,6}:{(383,1),(385,1),(430,1),(435,1),(436,1)}
       415:{1,5,7}:{(383,1),(384,1),(386,1),(436,1)}
       416:{2,5,7}:{(385,1),(387,1),(431,1),(435,1),(437,1)}
       417:{2,6}:{(386,1),(388,1),(436,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(389,1),(391,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{3,5,6,7}:{(391,1),(392,1),(394,1),(433,1),(438,1),(451,1)}
       421:{4,6}:{(392,1),(393,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(398,1),(406,1),(440,1),(441,1)}
       425:{3,7}:{(398,1),(401,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,5}:{(400,1),(403,1),(444,1)}
       428:{2,4,6,7}:{(401,1),(402,1),(404,1),(408,1),(442,1),(445,1),(454,1)}
       429:{2,5,6}:{(402,1),(403,1),(409,1),(443,1),(445,1)}
       430:{1,4,6}:{(405,1),(406,1),(414,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(416,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{3,5,7}:{(410,1),(411,1),(413,1),(447,1)}
       434:{4,5,6}:{(411,1),(412,1),(421,1),(447,1)}
       435:{1,5,7}:{(414,1),(416,1),(446,1),(448,1)}
       436:{1,6}:{(415,1),(417,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(425,1),(431,1),(450,1)}
       442:{3,6,7}:{(425,1),(426,1),(428,1),(451,1)}
       443:{3,5,6}:{(426,1),(427,1),(429,1),(451,1),(452,1)}
       444:{4,5}:{(427,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(451,1)}
       446:{1,4,7}:{(430,1),(431,1),(435,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{3,5,7}:{(442,1),(443,1),(445,1),(454,1)}
       452:{4,6}:{(443,1),(444,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

 883 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 884 :   0:{1,3,4,5}:{(2,1),(3,1),(11,1),(17,1),(49,1),(142,1),(144,1),(253,1)}
         1:{1,2,4,5}:{(4,1),(5,1),(7,1),(25,1),(34,1),(76,1),(80,1),(82,1),(84,1),(159,1),(176,1),(194,1),(279,1),(292,1)}
         2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(82,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(35,1),(101,1),(103,1),(201,1)}
         4:{1,3,5}:{(1,1),(11,1),(12,1),(13,1),(123,1),(253,1),(332,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(14,1),(15,1),(19,1),(48,1),(55,1),(62,1),(118,1),(147,1),(214,1),(323,1)}
         6:{2,3,5}:{(2,1),(16,1),(17,1),(18,1),(253,1)}
         7:{1,4,5}:{(2,1),(17,1),(19,1),(47,1),(125,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(20,1),(21,1),(62,1)}
         9:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(49,1),(69,1),(130,1)}
        10:{1,3,4,7}:{(3,1),(21,1),(23,1),(64,1),(150,1),(152,1),(261,1)}
        11:{1,3,4}:{(4,1),(25,1),(292,1),(307,1),(375,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(28,1),(34,1),(82,1),(93,1),(159,1),(163,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(30,1),(201,1),(367,1)}
        14:{1,2,5,6}:{(5,1),(29,1),(31,1),(38,1),(82,1),(99,1),(169,1),(176,1),(182,1),(270,1),(295,1),(395,1)}
        15:{1,2,4,7}:{(5,1),(30,1),(31,1),(39,1),(83,1),(91,1),(100,1),(170,1),(202,1),(271,1),(368,1)}
        16:{2,3,4}:{(6,1),(25,1),(32,1),(163,1),(307,1)}
        17:{1,3,5}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(37,1),(201,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(38,1),(39,1)}
        20:{2,5,6}:{(8,1),(9,1),(38,1),(41,1),(82,1),(182,1)}
        21:{2,4,7}:{(8,1),(10,1),(37,1),(39,1),(41,1),(100,1)}
        22:{1,4,5,6}:{(9,1),(40,1),(42,1),(84,1),(101,1),(183,1),(209,1),(314,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(109,1)}
        24:{1,3,4,5}:{(11,1),(45,1),(46,1),(49,1),(112,1),(222,1),(224,1),(332,1)}
        25:{2,4}:{(11,1),(12,1),(47,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(49,1),(50,1),(55,1),(130,1),(135,1)}
        27:{1,3,5}:{(12,1),(47,1),(51,1),(52,1),(123,1),(125,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(54,1),(62,1),(214,1)}
        29:{1,3,5,6}:{(13,1),(14,1),(49,1),(53,1),(55,1),(56,1),(130,1),(233,1),(242,1),(346,1),(348,1),(353,1),(422,1),(424,1)}
        30:{1,3,7}:{(13,1),(15,1),(54,1),(261,1),(405,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(56,1),(57,1),(68,1),(128,1),(148,1),(228,1),(324,1),(425,1)}
        32:{1,3,4}:{(16,1),(17,1),(47,1),(58,1),(123,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(59,1),(60,1),(61,1),(65,1),(135,1),(146,1),(219,1),(246,1),(260,1),(330,1),(357,1),(413,1)}
        34:{2,5}:{(17,1),(58,1),(62,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(62,1),(64,1)}
        36:{2,3,5,6}:{(18,1),(20,1),(60,1),(63,1),(65,1),(66,1),(69,1),(146,1),(154,1),(259,1),(260,1)}
        37:{2,3,7}:{(18,1),(21,1),(64,1),(261,1)}
        38:{1,5,6}:{(19,1),(20,1),(68,1),(125,1),(239,1)}
        39:{1,4,7}:{(19,1),(21,1),(64,1),(68,1)}
        40:{2,4,5,6}:{(20,1),(22,1),(65,1),(67,1),(69,1),(70,1),(127,1),(147,1),(154,1),(241,1),(259,1),(362,1),(363,1),(428,1)}
        41:{2,5,7}:{(20,1),(21,1),(23,1),(68,1),(71,1)}
        42:{1,4,5,7}:{(22,1),(23,1),(70,1),(72,1),(150,1),(265,1),(267,1)}
        43:{1,3,6,7}:{(23,1),(71,1),(72,1),(130,1),(157,1)}
        44:{2,3,4}:{(25,1),(73,1),(74,1),(93,1),(375,1)}
        45:{2,4,5}:{(24,1),(25,1),(73,1),(76,1),(77,1),(82,1),(159,1)}
        46:{1,3,4,6}:{(24,1),(77,1),(78,1),(79,1),(160,1),(272,1),(274,1),(367,1)}
        47:{1,4}:{(25,1),(27,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(81,1),(82,1),(83,1),(182,1)}
        49:{1,3,5}:{(26,1),(82,1),(84,1),(180,1)}
        50:{1,3,4,7}:{(26,1),(30,1),(83,1),(85,1),(91,1),(189,1)}
        51:{1,2,5}:{(27,1),(34,1),(80,1),(86,1),(159,1)}
        52:{1,3,6}:{(27,1),(28,1),(81,1),(86,1),(88,1)}
        53:{2,3,5,6}:{(28,1),(29,1),(82,1),(87,1),(89,1),(90,1),(99,1),(180,1),(182,1),(192,1),(201,1),(270,1),(277,1),(296,1),(299,1),(300,1),(301,1),(309,1),(367,1),(377,1),(393,1),(399,1),(401,1),(437,1),(439,1)}
        54:{2,3,7}:{(28,1),(30,1),(83,1),(88,1),(100,1),(271,1)}
        55:{1,4,6}:{(29,1),(84,1),(89,1),(91,1),(292,1)}
        56:{1,3,5,7}:{(29,1),(30,1),(31,1),(90,1),(91,1),(92,1),(191,1),(392,1),(396,1)}
        57:{1,2,6,7}:{(31,1),(92,1),(108,1),(182,1),(203,1),(288,1),(295,1),(369,1)}
        58:{2,4}:{(32,1),(34,1),(93,1)}
        59:{1,3,4,6}:{(32,1),(33,1),(35,1),(81,1),(94,1),(95,1),(96,1),(101,1),(175,1),(198,1),(201,1),(292,1),(303,1),(307,1),(316,1),(390,1),(397,1),(398,1)}
        60:{2,3,5}:{(33,1),(82,1),(95,1),(97,1),(180,1),(296,1),(437,1)}
        61:{2,3,4,7}:{(33,1),(37,1),(83,1),(96,1),(98,1),(104,1),(189,1),(278,1),(304,1),(317,1),(376,1)}
        62:{2,6}:{(34,1),(35,1),(100,1)}
        63:{1,3,5,6}:{(35,1),(36,1),(38,1),(95,1),(99,1),(101,1),(102,1),(198,1),(201,1),(209,1),(314,1),(316,1),(401,1)}
        64:{1,3,7}:{(35,1),(37,1),(39,1),(100,1)}
        65:{2,4,6}:{(36,1),(97,1),(101,1),(103,1),(104,1)}
        66:{2,3,5,7}:{(36,1),(37,1),(41,1),(102,1),(104,1),(105,1),(109,1),(208,1),(210,1),(317,1)}
        67:{1,4,5,6}:{(38,1),(40,1),(101,1),(106,1),(107,1),(178,1),(298,1),(314,1)}
        68:{1,5,7}:{(38,1),(39,1),(41,1),(108,1)}
        69:{3,5,6}:{(40,1),(103,1),(109,1),(180,1),(201,1),(299,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(42,1),(104,1),(107,1),(109,1),(110,1),(202,1),(208,1),(210,1),(319,1),(321,1),(403,1)}
        71:{2,6,7}:{(41,1),(43,1),(108,1),(182,1)}
        72:{1,4,6,7}:{(42,1),(43,1),(110,1),(111,1),(183,1),(322,1)}
        73:{2,3,5}:{(44,1),(45,1),(112,1),(113,1),(332,1)}
        74:{1,3,4}:{(44,1),(47,1),(112,1),(114,1),(123,1)}
        75:{2,3,4,6}:{(44,1),(48,1),(113,1),(115,1),(116,1),(117,1),(135,1),(139,1),(217,1),(226,1),(246,1),(251,1),(359,1),(404,1),(411,1)}
        76:{1,4,5}:{(45,1),(47,1),(112,1),(118,1),(125,1)}
        77:{2,4,6}:{(45,1),(46,1),(113,1),(118,1),(119,1),(120,1),(214,1)}
        78:{1,3,5,6}:{(46,1),(49,1),(119,1),(121,1),(122,1),(130,1),(229,1)}
        79:{1,3,4,7}:{(46,1),(120,1),(122,1),(216,1),(326,1),(328,1),(405,1)}
        80:{1,2,4}:{(47,1),(51,1),(58,1),(114,1),(123,1)}
        81:{1,4,6}:{(47,1),(48,1),(52,1),(125,1),(126,1),(239,1)}
        82:{2,5}:{(48,1),(49,1),(125,1)}
        83:{2,4,7}:{(48,1),(50,1),(54,1),(126,1),(128,1)}
        84:{1,4,5}:{(49,1),(55,1),(127,1),(348,1),(422,1)}
        85:{1,3,5,7}:{(49,1),(50,1),(128,1),(129,1),(130,1),(240,1)}
        86:{1,2,6}:{(51,1),(52,1),(62,1),(132,1),(214,1)}
        87:{1,3,5,6}:{(52,1),(53,1),(125,1),(131,1),(133,1),(134,1),(233,1),(237,1),(239,1),(243,1),(346,1),(350,1),(351,1),(422,1)}
        88:{1,3,7}:{(52,1),(54,1),(126,1),(132,1)}
        89:{2,4,6}:{(53,1),(55,1),(127,1),(133,1),(135,1),(136,1),(251,1),(330,1),(428,1),(449,1)}
        90:{2,3,5,7}:{(53,1),(54,1),(56,1),(128,1),(134,1),(136,1),(137,1),(148,1),(240,1),(250,1),(261,1),(324,1),(349,1),(354,1),(366,1),(405,1),(446,1)}
        91:{1,4,7}:{(55,1),(56,1),(136,1)}
        92:{1,3,6,7}:{(56,1),(57,1),(130,1),(137,1),(138,1),(346,1),(424,1)}
        93:{2,3}:{(58,1),(123,1)}
        94:{2,4,6}:{(58,1),(59,1),(62,1),(139,1),(140,1),(141,1),(251,1),(255,1),(364,1),(426,1)}
        95:{1,3,5}:{(59,1),(60,1),(125,1),(140,1),(142,1),(253,1),(348,1),(422,1),(427,1)}
        96:{1,3,4,7}:{(59,1),(61,1),(64,1),(126,1),(141,1),(143,1),(150,1),(234,1),(261,1),(345,1),(355,1),(358,1),(365,1)}
        97:{2,4,5}:{(60,1),(65,1),(142,1),(144,1),(330,1)}
        98:{2,3,5,7}:{(60,1),(61,1),(128,1),(143,1),(145,1),(146,1),(240,1),(349,1)}
        99:{2,5,6}:{(62,1),(63,1),(140,1),(147,1),(148,1),(255,1),(364,1)}
       100:{2,7}:{(62,1),(64,1)}
       101:{1,4,6}:{(63,1),(65,1),(142,1),(147,1),(150,1),(428,1)}
       102:{1,3,5,7}:{(63,1),(64,1),(66,1),(68,1),(148,1),(150,1),(151,1),(261,1),(265,1),(267,1),(365,1),(366,1)}
       103:{3,4,6}:{(65,1),(69,1),(144,1),(152,1),(428,1)}
       104:{2,4,7}:{(65,1),(66,1),(150,1),(152,1)}
       105:{2,3,6,7}:{(66,1),(71,1),(146,1),(151,1),(153,1),(157,1),(268,1)}
       106:{1,3,5,6}:{(67,1),(69,1),(149,1),(154,1),(155,1),(237,1),(350,1)}
       107:{1,4,5,7}:{(67,1),(68,1),(70,1),(150,1),(155,1),(156,1),(265,1)}
       108:{1,6,7}:{(68,1),(71,1),(239,1)}
       109:{3,5,7}:{(69,1),(70,1),(152,1),(157,1),(261,1)}
       110:{2,4,6,7}:{(70,1),(71,1),(72,1),(156,1),(157,1),(158,1),(241,1),(268,1),(269,1)}
       111:{1,5,6,7}:{(72,1),(158,1),(242,1),(265,1)}
       112:{1,3,5}:{(73,1),(74,1),(76,1),(159,1),(160,1)}
       113:{2,3,6}:{(73,1),(77,1),(160,1),(162,1),(367,1)}
       114:{2,4}:{(74,1),(159,1),(163,1)}
       115:{1,3,4,6}:{(74,1),(75,1),(81,1),(160,1),(164,1),(165,1),(166,1),(175,1),(272,1),(283,1),(292,1),(303,1),(367,1),(375,1),(390,1),(429,1),(435,1),(436,1)}
       116:{2,3,5}:{(75,1),(82,1),(165,1),(167,1),(180,1),(296,1),(399,1)}
       117:{2,3,4,7}:{(75,1),(83,1),(162,1),(166,1),(168,1),(189,1),(193,1),(275,1),(304,1),(308,1),(430,1)}
       118:{1,4,6}:{(76,1),(77,1),(160,1),(169,1),(170,1)}
       119:{2,5,6}:{(77,1),(78,1),(82,1),(169,1),(172,1),(182,1)}
       120:{2,4,7}:{(77,1),(79,1),(162,1),(170,1),(172,1),(271,1)}
       121:{1,4,5,6}:{(78,1),(84,1),(171,1),(173,1),(183,1),(272,1),(382,1),(384,1)}
       122:{1,3,5,7}:{(78,1),(79,1),(172,1),(173,1),(174,1),(289,1)}
       123:{1,3}:{(80,1),(93,1),(163,1)}
       124:{1,2,4,6}:{(80,1),(81,1),(86,1),(94,1),(164,1),(175,1),(176,1),(177,1),(292,1),(295,1),(303,1),(390,1),(395,1),(441,1)}
       125:{1,5}:{(81,1),(82,1)}
       126:{1,4,7}:{(81,1),(83,1),(88,1),(179,1)}
       127:{2,4,5}:{(82,1),(84,1),(89,1),(178,1),(180,1),(296,1),(399,1),(437,1),(443,1),(454,1)}
       128:{2,5,7}:{(82,1),(83,1),(85,1),(179,1),(182,1)}
       129:{1,4,5,7}:{(84,1),(85,1),(91,1),(181,1),(183,1),(191,1),(392,1)}
       130:{1,3,6}:{(85,1),(182,1),(183,1),(299,1)}
       131:{1,2,5,6}:{(86,1),(87,1),(99,1),(176,1),(184,1),(185,1),(209,1),(270,1),(295,1),(296,1),(384,1),(393,1)}
       132:{1,2,7}:{(86,1),(88,1),(100,1),(271,1)}
       133:{1,4,6}:{(87,1),(89,1),(178,1),(187,1),(292,1)}
       134:{1,3,5,7}:{(87,1),(88,1),(90,1),(179,1),(185,1),(187,1),(188,1),(302,1),(305,1)}
       135:{3,4,6}:{(89,1),(180,1),(189,1),(201,1),(299,1),(307,1),(367,1),(375,1)}
       136:{2,4,7}:{(89,1),(90,1),(91,1),(187,1),(189,1),(403,1),(452,1)}
       137:{2,3,6,7}:{(90,1),(92,1),(182,1),(188,1),(190,1),(203,1),(299,1),(309,1),(318,1),(369,1),(377,1),(393,1),(431,1)}
       138:{1,4,6,7}:{(91,1),(92,1),(183,1),(190,1),(191,1),(390,1)}
       139:{2,3,6}:{(93,1),(94,1),(175,1),(192,1),(193,1),(201,1),(442,1)}
       140:{2,5}:{(94,1),(95,1)}
       141:{2,4,7}:{(94,1),(96,1),(100,1),(193,1),(195,1),(402,1)}
       142:{1,4,5}:{(95,1),(97,1),(101,1),(194,1),(292,1),(443,1)}
       143:{1,3,5,7}:{(95,1),(96,1),(98,1),(179,1),(195,1),(197,1),(198,1),(311,1),(392,1)}
       144:{3,4,5}:{(97,1),(103,1),(180,1),(375,1),(443,1)}
       145:{2,4,5,7}:{(97,1),(98,1),(104,1),(197,1),(199,1),(200,1),(208,1),(376,1),(437,1)}
       146:{2,3,6}:{(98,1),(182,1),(198,1),(200,1),(299,1),(393,1)}
       147:{2,4,6}:{(99,1),(101,1),(194,1),(201,1),(202,1)}
       148:{2,5,7}:{(99,1),(100,1),(102,1),(202,1),(203,1),(402,1)}
       149:{1,3,4,6}:{(101,1),(103,1),(106,1),(196,1),(201,1),(204,1),(205,1),(316,1)}
       150:{1,4,7}:{(101,1),(102,1),(104,1),(202,1),(403,1)}
       151:{1,3,6,7}:{(102,1),(105,1),(108,1),(198,1),(203,1),(206,1),(318,1),(322,1)}
       152:{3,4,7}:{(103,1),(104,1),(109,1),(403,1)}
       153:{2,4,6,7}:{(104,1),(105,1),(200,1),(206,1),(207,1),(208,1)}
       154:{2,5,6}:{(106,1),(204,1),(209,1),(210,1),(296,1),(393,1)}
       155:{1,3,5,7}:{(106,1),(107,1),(109,1),(205,1),(210,1),(211,1)}
       156:{1,4,6,7}:{(107,1),(108,1),(110,1),(211,1),(212,1),(298,1)}
       157:{3,6,7}:{(109,1),(110,1),(299,1)}
       158:{2,5,6,7}:{(110,1),(111,1),(208,1),(212,1),(213,1),(300,1),(319,1)}
       159:{2,5}:{(112,1),(114,1),(214,1)}
       160:{1,3,6}:{(112,1),(113,1),(118,1),(214,1),(216,1)}
       161:{2,3,5,6}:{(113,1),(116,1),(119,1),(215,1),(217,1),(218,1),(226,1),(229,1),(338,1),(339,1),(404,1)}
       162:{2,3,7}:{(113,1),(120,1),(216,1),(405,1)}
       163:{2,3}:{(114,1),(123,1)}
       164:{2,4,6}:{(114,1),(115,1),(214,1),(219,1),(220,1),(221,1),(330,1),(334,1),(444,1),(447,1)}
       165:{1,3,5}:{(115,1),(116,1),(125,1),(220,1),(222,1),(332,1),(348,1),(422,1),(448,1)}
       166:{1,3,4,7}:{(115,1),(117,1),(126,1),(216,1),(221,1),(223,1),(234,1),(326,1),(345,1),(355,1),(405,1),(412,1),(445,1)}
       167:{2,4,5}:{(116,1),(217,1),(222,1),(224,1),(251,1)}
       168:{2,3,5,7}:{(116,1),(117,1),(128,1),(223,1),(225,1),(226,1),(240,1),(349,1)}
       169:{1,5,6}:{(118,1),(119,1),(125,1),(228,1),(239,1)}
       170:{1,4,7}:{(118,1),(120,1),(216,1),(228,1)}
       171:{2,4,5,6}:{(119,1),(121,1),(127,1),(217,1),(227,1),(229,1),(230,1),(241,1),(323,1),(338,1),(339,1),(416,1),(417,1),(449,1)}
       172:{2,5,7}:{(119,1),(120,1),(122,1),(228,1),(231,1)}
       173:{1,4,5,7}:{(121,1),(122,1),(230,1),(232,1),(326,1),(409,1),(418,1)}
       174:{1,3,6,7}:{(122,1),(130,1),(231,1),(232,1),(342,1)}
       175:{1,3,6}:{(123,1),(124,1),(139,1),(219,1),(233,1),(234,1),(450,1)}
       176:{1,2,5}:{(124,1),(125,1),(140,1),(220,1),(233,1),(348,1),(422,1)}
       177:{1,2,4,7}:{(124,1),(126,1),(132,1),(141,1),(221,1),(234,1),(236,1),(345,1),(355,1),(425,1)}
       178:{1,4,5}:{(125,1),(127,1),(133,1),(237,1),(422,1)}
       179:{1,5,7}:{(125,1),(126,1),(128,1),(239,1)}
       180:{3,5}:{(127,1),(135,1)}
       181:{2,4,5,7}:{(127,1),(128,1),(129,1),(136,1),(238,1),(240,1),(241,1),(250,1),(349,1),(356,1)}
       182:{2,6}:{(128,1),(130,1),(239,1)}
       183:{1,4,6}:{(129,1),(130,1),(241,1),(242,1),(424,1)}
       184:{1,2,4,6}:{(131,1),(133,1),(147,1),(235,1),(243,1),(244,1),(246,1),(263,1),(323,1),(364,1),(407,1),(444,1)}
       185:{1,2,5,7}:{(131,1),(132,1),(134,1),(148,1),(244,1),(245,1),(267,1),(324,1),(349,1),(418,1)}
       186:{1,3,4,6}:{(133,1),(135,1),(237,1),(243,1),(246,1),(247,1),(344,1),(350,1)}
       187:{1,4,7}:{(133,1),(134,1),(136,1)}
       188:{1,3,6,7}:{(134,1),(137,1),(239,1),(245,1),(248,1),(346,1),(350,1)}
       189:{3,4,7}:{(135,1),(136,1),(240,1),(261,1),(405,1)}
       190:{2,4,6,7}:{(136,1),(137,1),(138,1),(241,1),(248,1),(249,1),(250,1),(359,1),(413,1)}
       191:{1,5,7}:{(138,1),(242,1),(250,1),(422,1)}
       192:{2,3,5}:{(139,1),(140,1),(233,1),(251,1),(253,1)}
       193:{2,3,7}:{(139,1),(141,1),(234,1),(261,1)}
       194:{2,4,5}:{(140,1),(142,1),(147,1),(251,1),(253,1)}
       195:{2,5,7}:{(140,1),(141,1),(143,1),(255,1)}
       196:{1,3,4,5}:{(142,1),(144,1),(149,1),(237,1),(253,1),(256,1),(344,1),(360,1)}
       197:{1,4,5,7}:{(142,1),(143,1),(145,1),(150,1),(254,1),(257,1),(265,1),(345,1),(422,1)}
       198:{1,3,6}:{(143,1),(146,1),(239,1),(255,1),(257,1),(361,1),(424,1)}
       199:{3,4,5,7}:{(144,1),(145,1),(152,1),(240,1),(258,1),(266,1),(356,1),(412,1),(448,1)}
       200:{2,4,6}:{(145,1),(146,1),(257,1),(258,1),(259,1)}
       201:{3,6}:{(147,1),(253,1),(261,1)}
       202:{2,4,7}:{(147,1),(148,1),(150,1),(261,1)}
       203:{2,6,7}:{(148,1),(151,1),(255,1)}
       204:{2,4,6}:{(149,1),(154,1),(256,1),(260,1),(263,1),(264,1),(364,1)}
       205:{1,3,4,7}:{(149,1),(150,1),(152,1),(155,1),(261,1),(264,1),(365,1)}
       206:{1,4,6,7}:{(150,1),(151,1),(153,1),(257,1),(262,1),(265,1)}
       207:{3,4,6,7}:{(152,1),(153,1),(157,1),(258,1),(266,1),(269,1)}
       208:{2,5,7}:{(153,1),(259,1),(265,1),(266,1)}
       209:{1,5,6}:{(154,1),(263,1),(267,1),(348,1),(424,1)}
       210:{2,5,7}:{(154,1),(155,1),(264,1),(267,1),(268,1)}
       211:{1,3,6,7}:{(155,1),(156,1),(157,1),(268,1),(350,1)}
       212:{1,5,6,7}:{(156,1),(158,1),(265,1),(351,1)}
       213:{3,5,6,7}:{(157,1),(158,1),(266,1),(269,1),(352,1),(366,1)}
       214:{2,6}:{(159,1),(160,1),(271,1)}
       215:{1,3,5,6}:{(160,1),(161,1),(165,1),(169,1),(270,1),(272,1),(273,1),(283,1),(367,1),(382,1),(384,1),(429,1),(439,1)}
       216:{1,3,7}:{(160,1),(162,1),(170,1),(271,1)}
       217:{2,4,6}:{(161,1),(167,1),(272,1),(274,1),(275,1)}
       218:{2,3,5,7}:{(161,1),(162,1),(172,1),(273,1),(275,1),(276,1),(289,1),(374,1),(385,1),(430,1)}
       219:{2,3,6}:{(163,1),(164,1),(175,1),(277,1),(278,1),(367,1),(453,1)}
       220:{2,5}:{(164,1),(165,1)}
       221:{2,4,7}:{(164,1),(166,1),(271,1),(278,1),(280,1),(451,1)}
       222:{1,4,5}:{(165,1),(167,1),(272,1),(279,1),(292,1),(454,1)}
       223:{1,3,5,7}:{(165,1),(166,1),(168,1),(179,1),(280,1),(282,1),(283,1),(379,1),(392,1)}
       224:{3,4,5}:{(167,1),(180,1),(274,1),(307,1),(454,1)}
       225:{2,4,5,7}:{(167,1),(168,1),(275,1),(282,1),(284,1),(285,1),(308,1),(374,1),(399,1)}
       226:{2,3,6}:{(168,1),(182,1),(283,1),(285,1),(299,1),(393,1)}
       227:{1,4,5,6}:{(169,1),(171,1),(178,1),(272,1),(286,1),(287,1),(298,1),(382,1)}
       228:{1,5,7}:{(169,1),(170,1),(172,1),(288,1)}
       229:{3,5,6}:{(171,1),(180,1),(274,1),(289,1),(299,1),(367,1)}
       230:{2,4,5,7}:{(171,1),(172,1),(173,1),(275,1),(287,1),(289,1),(290,1),(368,1),(374,1),(385,1),(432,1),(434,1),(452,1)}
       231:{2,6,7}:{(172,1),(174,1),(182,1),(288,1)}
       232:{1,4,6,7}:{(173,1),(174,1),(183,1),(290,1),(291,1),(440,1)}
       233:{1,3,5}:{(175,1),(176,1),(192,1),(277,1),(292,1)}
       234:{1,3,7}:{(175,1),(177,1),(193,1),(278,1)}
       235:{1,2,4,5}:{(176,1),(178,1),(184,1),(194,1),(279,1),(292,1),(294,1),(296,1),(313,1),(381,1),(389,1),(400,1),(438,1),(441,1)}
       236:{1,2,5,7}:{(176,1),(177,1),(179,1),(195,1),(280,1),(293,1),(295,1),(392,1)}
       237:{1,3,5}:{(178,1),(180,1),(186,1),(296,1)}
       238:{1,4,5,7}:{(178,1),(179,1),(181,1),(187,1),(297,1),(298,1),(305,1)}
       239:{1,6}:{(179,1),(182,1)}
       240:{3,5,7}:{(180,1),(181,1),(189,1),(299,1)}
       241:{2,4,6}:{(181,1),(182,1),(183,1),(298,1),(299,1),(300,1),(393,1),(394,1)}
       242:{1,5,6}:{(183,1),(191,1),(300,1)}
       243:{1,3,6}:{(184,1),(201,1),(294,1),(301,1),(302,1),(367,1)}
       244:{1,2,4,7}:{(184,1),(185,1),(187,1),(202,1),(302,1),(304,1),(320,1),(368,1),(402,1),(433,1),(451,1)}
       245:{1,2,6,7}:{(185,1),(188,1),(203,1),(295,1),(322,1),(369,1),(393,1),(440,1)}
       246:{2,4,6}:{(186,1),(296,1),(301,1),(303,1),(304,1),(389,1),(393,1)}
       247:{1,3,4,7}:{(186,1),(187,1),(189,1),(297,1),(302,1),(304,1)}
       248:{1,4,6,7}:{(187,1),(188,1),(190,1),(298,1),(305,1),(390,1)}
       249:{3,4,6,7}:{(189,1),(190,1),(299,1),(306,1),(318,1),(394,1),(398,1),(403,1),(431,1),(436,1),(452,1)}
       250:{2,5,7}:{(190,1),(191,1),(300,1),(305,1),(306,1),(399,1),(437,1)}
       251:{2,4}:{(192,1),(292,1),(307,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(195,1),(293,1),(308,1),(309,1),(311,1),(399,1)}
       253:{3,5}:{(194,1),(201,1),(307,1)}
       254:{2,4,5,7}:{(194,1),(195,1),(197,1),(202,1),(308,1),(311,1),(312,1),(319,1),(399,1),(403,1),(443,1)}
       255:{2,6}:{(195,1),(198,1)}
       256:{2,4,5}:{(196,1),(204,1),(296,1),(310,1),(313,1),(389,1),(400,1)}
       257:{1,4,6}:{(197,1),(198,1),(200,1),(312,1),(314,1)}
       258:{3,4,6}:{(199,1),(200,1),(299,1),(315,1),(394,1)}
       259:{2,5,6}:{(200,1),(208,1),(314,1),(315,1),(437,1)}
       260:{2,3,6}:{(201,1),(204,1),(310,1),(316,1),(317,1)}
       261:{3,7}:{(201,1),(202,1)}
       262:{2,4,6,7}:{(202,1),(203,1),(206,1),(312,1),(318,1),(319,1),(403,1)}
       263:{1,4,6}:{(204,1),(209,1),(313,1),(316,1),(320,1)}
       264:{2,4,7}:{(204,1),(205,1),(210,1),(317,1),(320,1),(402,1)}
       265:{1,5,7}:{(206,1),(208,1),(314,1),(319,1)}
       266:{3,5,7}:{(207,1),(208,1),(315,1),(321,1)}
       267:{1,5,7}:{(209,1),(210,1),(320,1),(322,1)}
       268:{2,6,7}:{(210,1),(211,1),(322,1),(393,1)}
       269:{4,6,7}:{(213,1),(321,1),(394,1),(403,1)}
       270:{2,5,6}:{(214,1),(215,1),(220,1),(323,1),(324,1),(334,1),(444,1)}
       271:{2,7}:{(214,1),(216,1)}
       272:{1,4,6}:{(215,1),(217,1),(222,1),(323,1),(326,1),(449,1)}
       273:{1,3,5,7}:{(215,1),(216,1),(218,1),(228,1),(324,1),(326,1),(327,1),(405,1),(409,1),(418,1),(445,1),(446,1)}
       274:{3,4,6}:{(217,1),(224,1),(229,1),(328,1),(449,1)}
       275:{2,4,7}:{(217,1),(218,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(218,1),(226,1),(231,1),(327,1),(329,1),(342,1),(419,1)}
       277:{2,3,5}:{(219,1),(220,1),(233,1),(330,1),(332,1)}
       278:{2,3,7}:{(219,1),(221,1),(234,1),(405,1)}
       279:{2,4,5}:{(220,1),(222,1),(323,1),(330,1),(332,1)}
       280:{2,5,7}:{(220,1),(221,1),(223,1),(334,1)}
       281:{1,3,4,5}:{(222,1),(224,1),(237,1),(325,1),(332,1),(335,1),(344,1),(414,1)}
       282:{1,4,5,7}:{(222,1),(223,1),(225,1),(326,1),(333,1),(336,1),(345,1),(409,1),(422,1)}
       283:{1,3,6}:{(223,1),(226,1),(239,1),(334,1),(336,1),(415,1),(424,1)}
       284:{3,4,5,7}:{(224,1),(225,1),(240,1),(328,1),(337,1),(356,1),(358,1),(410,1),(427,1)}
       285:{2,4,6}:{(225,1),(226,1),(336,1),(337,1),(338,1)}
       286:{1,3,5,6}:{(227,1),(229,1),(237,1),(325,1),(339,1),(340,1),(350,1)}
       287:{1,4,5,7}:{(227,1),(228,1),(230,1),(326,1),(340,1),(341,1),(409,1)}
       288:{1,6,7}:{(228,1),(231,1),(239,1)}
       289:{3,5,7}:{(229,1),(230,1),(328,1),(342,1),(405,1)}
       290:{2,4,6,7}:{(230,1),(231,1),(232,1),(241,1),(341,1),(342,1),(343,1),(419,1),(420,1)}
       291:{1,5,6,7}:{(232,1),(242,1),(343,1),(409,1)}
       292:{1,4}:{(233,1),(251,1),(330,1)}
       293:{1,3,5,7}:{(233,1),(234,1),(236,1),(252,1),(331,1),(345,1),(346,1),(422,1)}
       294:{1,3,5}:{(235,1),(243,1),(253,1),(332,1),(344,1),(347,1),(450,1)}
       295:{1,2,6}:{(236,1),(239,1),(255,1),(334,1),(346,1),(424,1)}
       296:{2,5}:{(237,1),(246,1),(348,1)}
       297:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(349,1),(350,1)}
       298:{1,4,6}:{(238,1),(239,1),(241,1),(350,1),(351,1)}
       299:{3,6}:{(240,1),(241,1)}
       300:{2,5,6}:{(241,1),(242,1),(250,1),(351,1),(352,1)}
       301:{2,3,6}:{(243,1),(246,1),(347,1),(353,1),(354,1),(364,1),(444,1)}
       302:{1,3,7}:{(243,1),(244,1),(261,1),(354,1),(405,1)}
       303:{1,4,6}:{(246,1),(348,1),(353,1),(355,1),(421,1),(424,1)}
       304:{2,4,7}:{(246,1),(247,1),(349,1),(354,1),(355,1)}
       305:{1,5,7}:{(248,1),(250,1),(351,1),(422,1)}
       306:{3,5,7}:{(249,1),(250,1),(352,1),(356,1),(427,1),(448,1)}
       307:{3,4}:{(251,1),(253,1)}
       308:{2,4,7}:{(251,1),(252,1),(345,1),(358,1),(359,1)}
       309:{2,3,6}:{(252,1),(255,1),(346,1),(359,1),(361,1)}
       310:{2,3,5}:{(253,1),(256,1),(260,1),(357,1),(360,1)}
       311:{3,5,7}:{(253,1),(254,1),(261,1),(358,1),(361,1),(427,1)}
       312:{2,4,6}:{(254,1),(255,1),(257,1),(361,1),(362,1),(428,1)}
       313:{1,4,5}:{(256,1),(263,1),(348,1),(360,1),(421,1)}
       314:{1,5,6}:{(257,1),(259,1),(265,1),(362,1),(422,1)}
       315:{3,5,6}:{(258,1),(259,1),(266,1),(363,1),(448,1)}
       316:{1,3,6}:{(260,1),(263,1),(360,1),(364,1),(365,1)}
       317:{2,3,7}:{(260,1),(261,1),(264,1),(365,1)}
       318:{3,6,7}:{(261,1),(262,1),(361,1),(366,1)}
       319:{2,5,7}:{(262,1),(265,1),(362,1),(366,1)}
       320:{1,4,7}:{(263,1),(264,1),(267,1),(365,1)}
       321:{4,5,7}:{(266,1),(269,1),(363,1)}
       322:{1,6,7}:{(267,1),(268,1),(424,1)}
       323:{2,4,6}:{(270,1),(272,1),(279,1),(367,1),(368,1)}
       324:{2,5,7}:{(270,1),(271,1),(273,1),(368,1),(369,1),(451,1)}
       325:{1,3,4,6}:{(272,1),(274,1),(281,1),(286,1),(367,1),(370,1),(371,1),(429,1)}
       326:{1,4,7}:{(272,1),(273,1),(275,1),(368,1),(452,1)}
       327:{1,3,6,7}:{(273,1),(276,1),(283,1),(288,1),(369,1),(372,1),(431,1),(440,1)}
       328:{3,4,7}:{(274,1),(275,1),(289,1),(452,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(285,1),(372,1),(373,1),(374,1)}
       330:{2,4}:{(277,1),(292,1),(375,1)}
       331:{2,3,5,7}:{(277,1),(278,1),(280,1),(293,1),(376,1),(377,1),(379,1),(437,1)}
       332:{3,5}:{(279,1),(367,1),(375,1)}
       333:{2,4,5,7}:{(279,1),(280,1),(282,1),(368,1),(376,1),(379,1),(380,1),(432,1),(437,1),(452,1),(454,1)}
       334:{2,6}:{(280,1),(283,1)}
       335:{2,4,5}:{(281,1),(296,1),(370,1),(378,1),(381,1),(389,1),(438,1)}
       336:{1,4,6}:{(282,1),(283,1),(285,1),(380,1),(382,1)}
       337:{3,4,6}:{(284,1),(285,1),(299,1),(383,1),(394,1)}
       338:{2,5,6}:{(285,1),(374,1),(382,1),(383,1),(399,1)}
       339:{2,5,6}:{(286,1),(296,1),(370,1),(384,1),(385,1),(393,1)}
       340:{1,3,5,7}:{(286,1),(287,1),(289,1),(371,1),(385,1),(386,1)}
       341:{1,4,6,7}:{(287,1),(288,1),(290,1),(298,1),(386,1),(387,1)}
       342:{3,6,7}:{(289,1),(290,1),(299,1)}
       343:{2,5,6,7}:{(290,1),(291,1),(300,1),(374,1),(387,1),(388,1),(432,1)}
       344:{1,3,4}:{(292,1),(294,1),(307,1),(375,1),(389,1)}
       345:{1,4,7}:{(292,1),(293,1),(308,1),(376,1),(390,1)}
       346:{1,3,6}:{(293,1),(295,1),(309,1),(377,1),(390,1)}
       347:{2,3,5}:{(294,1),(296,1),(301,1),(389,1),(391,1),(400,1),(438,1),(442,1),(453,1)}
       348:{1,5}:{(296,1),(303,1)}
       349:{2,5,7}:{(296,1),(297,1),(304,1),(392,1),(393,1)}
       350:{1,3,6}:{(297,1),(298,1),(299,1),(393,1)}
       351:{1,5,6}:{(298,1),(300,1),(305,1)}
       352:{3,5,6}:{(299,1),(300,1),(306,1),(394,1)}
       353:{1,3,6}:{(301,1),(303,1),(391,1),(395,1),(396,1)}
       354:{2,3,7}:{(301,1),(302,1),(304,1),(396,1),(402,1),(451,1)}
       355:{1,4,7}:{(303,1),(304,1),(392,1),(396,1)}
       356:{4,5,7}:{(306,1),(394,1),(403,1),(443,1),(452,1),(454,1)}
       357:{2,3,4}:{(307,1),(310,1),(389,1),(397,1),(453,1)}
       358:{3,4,7}:{(307,1),(308,1),(311,1),(398,1),(403,1)}
       359:{2,4,6}:{(308,1),(309,1),(390,1),(398,1),(399,1)}
       360:{1,3,5}:{(310,1),(313,1),(316,1),(397,1),(400,1)}
       361:{3,6}:{(311,1),(312,1)}
       362:{2,5,6}:{(312,1),(314,1),(319,1),(399,1),(401,1)}
       363:{4,5,6}:{(315,1),(321,1),(394,1),(454,1)}
       364:{2,6}:{(316,1),(400,1),(402,1)}
       365:{1,3,7}:{(316,1),(317,1),(320,1),(402,1)}
       366:{3,5,7}:{(318,1),(319,1),(401,1),(403,1)}
       367:{3,6}:{(323,1),(332,1),(405,1)}
       368:{2,4,7}:{(323,1),(324,1),(326,1),(405,1)}
       369:{2,6,7}:{(324,1),(327,1),(334,1)}
       370:{2,4,6}:{(325,1),(335,1),(339,1),(404,1),(407,1),(408,1),(444,1)}
       371:{1,3,4,7}:{(325,1),(326,1),(328,1),(340,1),(405,1),(408,1),(445,1)}
       372:{1,4,6,7}:{(326,1),(327,1),(329,1),(336,1),(406,1),(409,1)}
       373:{3,4,6,7}:{(328,1),(329,1),(337,1),(342,1),(410,1),(420,1)}
       374:{2,5,7}:{(329,1),(338,1),(409,1),(410,1)}
       375:{3,4}:{(330,1),(332,1)}
       376:{2,4,7}:{(330,1),(331,1),(345,1),(412,1),(413,1)}
       377:{2,3,6}:{(331,1),(334,1),(346,1),(413,1),(415,1)}
       378:{2,3,5}:{(332,1),(335,1),(404,1),(411,1),(414,1)}
       379:{3,5,7}:{(332,1),(333,1),(405,1),(412,1),(415,1),(448,1)}
       380:{2,4,6}:{(333,1),(334,1),(336,1),(415,1),(416,1),(449,1)}
       381:{1,4,5}:{(335,1),(348,1),(407,1),(414,1),(421,1)}
       382:{1,5,6}:{(336,1),(338,1),(409,1),(416,1),(422,1)}
       383:{3,5,6}:{(337,1),(338,1),(410,1),(417,1),(427,1)}
       384:{1,5,6}:{(339,1),(348,1),(407,1),(418,1),(424,1)}
       385:{2,5,7}:{(339,1),(340,1),(408,1),(418,1),(419,1)}
       386:{1,3,6,7}:{(340,1),(341,1),(342,1),(350,1),(419,1)}
       387:{1,5,6,7}:{(341,1),(343,1),(351,1),(409,1)}
       388:{3,5,6,7}:{(342,1),(343,1),(352,1),(410,1),(420,1),(446,1)}
       389:{2,4}:{(344,1),(347,1),(421,1)}
       390:{1,4,6}:{(345,1),(346,1),(359,1),(413,1),(422,1)}
       391:{1,3,5}:{(347,1),(348,1),(353,1),(421,1),(423,1),(450,1)}
       392:{1,5,7}:{(348,1),(349,1),(355,1),(424,1)}
       393:{2,6}:{(349,1),(350,1),(424,1)}
       394:{4,6}:{(352,1),(356,1)}
       395:{1,2,6}:{(353,1),(364,1),(423,1),(425,1),(444,1)}
       396:{1,3,7}:{(353,1),(354,1),(355,1),(425,1)}
       397:{1,3,4}:{(357,1),(360,1),(421,1),(426,1),(450,1)}
       398:{3,4,6}:{(358,1),(359,1),(361,1),(427,1),(428,1)}
       399:{2,5}:{(359,1),(422,1),(427,1)}
       400:{2,5}:{(360,1),(364,1),(426,1)}
       401:{3,5,6}:{(361,1),(362,1),(366,1),(427,1),(428,1)}
       402:{2,7}:{(364,1),(365,1)}
       403:{4,7}:{(366,1),(428,1)}
       404:{2,3,6}:{(367,1),(370,1),(378,1),(429,1),(430,1)}
       405:{3,7}:{(367,1),(368,1)}
       406:{2,4,6,7}:{(368,1),(369,1),(372,1),(380,1),(431,1),(432,1),(452,1)}
       407:{1,4,6}:{(370,1),(381,1),(384,1),(429,1),(433,1)}
       408:{2,4,7}:{(370,1),(371,1),(385,1),(430,1),(433,1),(451,1)}
       409:{1,5,7}:{(372,1),(374,1),(382,1),(432,1)}
       410:{3,5,7}:{(373,1),(374,1),(383,1),(434,1)}
       411:{2,3,4}:{(375,1),(378,1),(389,1),(435,1),(442,1)}
       412:{3,4,7}:{(375,1),(376,1),(379,1),(436,1),(452,1)}
       413:{2,4,6}:{(376,1),(377,1),(390,1),(436,1),(437,1)}
       414:{1,3,5}:{(378,1),(381,1),(429,1),(435,1),(438,1)}
       415:{3,6}:{(379,1),(380,1)}
       416:{2,5,6}:{(380,1),(382,1),(432,1),(437,1),(439,1)}
       417:{4,5,6}:{(383,1),(394,1),(434,1),(443,1)}
       418:{1,5,7}:{(384,1),(385,1),(433,1),(440,1)}
       419:{2,6,7}:{(385,1),(386,1),(393,1),(440,1)}
       420:{4,6,7}:{(388,1),(394,1),(434,1),(452,1)}
       421:{1,4}:{(389,1),(391,1)}
       422:{1,5}:{(390,1),(399,1),(437,1)}
       423:{1,2,5}:{(391,1),(395,1),(400,1),(438,1),(441,1)}
       424:{1,6}:{(392,1),(393,1)}
       425:{1,2,7}:{(395,1),(396,1),(402,1),(451,1)}
       426:{2,4}:{(397,1),(400,1),(442,1)}
       427:{3,5}:{(398,1),(399,1),(443,1)}
       428:{4,6}:{(401,1),(403,1),(443,1)}
       429:{1,3,6}:{(404,1),(407,1),(414,1),(444,1),(445,1)}
       430:{2,3,7}:{(404,1),(405,1),(408,1),(445,1)}
       431:{3,6,7}:{(405,1),(406,1),(415,1),(446,1)}
       432:{2,5,7}:{(406,1),(409,1),(416,1),(446,1)}
       433:{1,4,7}:{(407,1),(408,1),(418,1),(445,1)}
       434:{4,5,7}:{(410,1),(417,1),(420,1)}
       435:{1,3,4}:{(411,1),(414,1),(421,1),(447,1),(450,1)}
       436:{3,4,6}:{(412,1),(413,1),(415,1),(448,1),(449,1)}
       437:{2,5}:{(413,1),(422,1),(448,1)}
       438:{2,5}:{(414,1),(444,1),(447,1)}
       439:{3,5,6}:{(415,1),(416,1),(446,1),(448,1),(449,1)}
       440:{1,6,7}:{(418,1),(419,1),(424,1)}
       441:{1,2,4}:{(421,1),(423,1),(426,1),(447,1),(450,1)}
       442:{2,3}:{(426,1),(450,1)}
       443:{4,5}:{(427,1),(428,1)}
       444:{2,6}:{(429,1),(438,1),(451,1)}
       445:{1,3,7}:{(429,1),(430,1),(433,1),(451,1)}
       446:{3,5,7}:{(431,1),(432,1),(439,1),(452,1)}
       447:{2,4}:{(435,1),(438,1),(453,1)}
       448:{3,5}:{(436,1),(437,1),(454,1)}
       449:{4,6}:{(439,1),(452,1),(454,1)}
       450:{1,3}:{(441,1),(442,1),(453,1)}
       451:{2,7}:{(444,1),(445,1)}
       452:{4,7}:{(446,1),(449,1)}
       453:{2,3}:{(447,1),(450,1)}
       454:{4,5}:{(448,1),(449,1)}

 885 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 886 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(37,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(37,1),(45,1),(88,1),(89,1),(90,1),(178,1),(279,1),(287,1),(295,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(68,1),(124,1),(153,1),(242,1),(325,1),(357,1)}
         3:{2,5,6,7}:{(11,1),(15,1),(17,1),(146,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(17,1),(18,1),(58,1),(65,1),(67,1),(146,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(16,1),(18,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(16,1),(21,1),(229,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(346,1),(353,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(67,1),(130,1),(132,1),(231,1),(335,1),(352,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(64,1),(68,1),(76,1),(128,1),(133,1),(143,1),(149,1),(156,1),(246,1),(259,1),(351,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(105,1),(163,1),(202,1),(203,1),(269,1),(313,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(196,1),(276,1),(409,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(94,1),(104,1),(171,1),(196,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(297,1),(407,1)}
        14:{1,3,4,5}:{(6,1),(29,1),(33,1),(44,1),(81,1),(96,1),(112,1),(166,1),(190,1),(272,1),(297,1)}
        15:{3,5,6,7}:{(3,1),(35,1),(38,1),(102,1),(388,1),(479,1)}
        16:{3,4,6}:{(5,1),(6,1),(36,1),(37,1),(468,1)}
        17:{2,4,6,7}:{(3,1),(4,1),(30,1),(35,1),(38,1),(93,1),(393,1)}
        18:{3,5,7}:{(4,1),(5,1),(36,1),(38,1),(278,1)}
        19:{2,3,5,6}:{(5,1),(7,1),(32,1),(37,1),(39,1),(40,1),(45,1),(90,1),(109,1)}
        20:{3,4,5,7}:{(6,1),(36,1),(42,1),(43,1),(102,1),(285,1),(390,1),(398,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(37,1),(44,1),(178,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(405,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(304,1),(316,1),(404,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(100,1),(104,1),(181,1),(192,1),(198,1),(205,1),(403,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(176,1),(182,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(251,1),(368,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(148,1),(220,1),(251,1),(364,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(149,1),(254,1),(366,1)}
        29:{1,3,4,6}:{(13,1),(14,1),(16,1),(51,1),(55,1),(56,1),(68,1),(124,1),(133,1),(149,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(17,1),(52,1),(57,1),(136,1),(357,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(18,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(353,1),(452,1)}
        33:{2,4,5}:{(14,1),(56,1),(60,1),(61,1),(139,1),(244,1),(353,1)}
        34:{1,2,4,6}:{(25,1),(62,1),(63,1),(64,1),(131,1),(141,1),(143,1),(227,1),(235,1),(246,1),(351,1)}
        35:{4,6,7}:{(15,1),(65,1),(437,1),(508,1)}
        36:{3,4,7}:{(16,1),(18,1),(67,1),(437,1)}
        37:{2,4,6}:{(16,1),(19,1),(21,1),(67,1),(68,1)}
        38:{3,6,7}:{(17,1),(18,1),(439,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(58,1),(67,1),(69,1),(70,1),(132,1),(146,1)}
        40:{1,3,5,6}:{(19,1),(23,1),(59,1),(68,1),(70,1),(71,1),(76,1),(133,1),(149,1),(153,1),(258,1)}
        41:{4,5,6}:{(65,1),(72,1),(446,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(67,1),(73,1),(74,1),(146,1),(231,1),(346,1)}
        44:{1,4,5}:{(21,1),(23,1),(68,1),(75,1),(143,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(452,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(450,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(236,1)}
        49:{2,3,6}:{(25,1),(64,1),(78,1),(79,1),(149,1),(228,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(308,1),(415,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(93,1),(313,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(198,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(90,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(36,1),(83,1),(91,1),(104,1),(171,1),(181,1),(198,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(33,1),(90,1),(91,1),(92,1),(182,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(38,1),(85,1),(93,1),(407,1)}
        58:{2,5,7}:{(31,1),(32,1),(91,1),(93,1),(94,1)}
        59:{1,5,6}:{(32,1),(92,1),(94,1),(404,1),(486,1)}
        60:{2,3,5}:{(33,1),(88,1),(90,1),(96,1),(112,1),(272,1)}
        61:{1,4,5}:{(33,1),(92,1),(96,1),(301,1),(404,1)}
        62:{1,2,5}:{(34,1),(47,1),(99,1),(180,1),(304,1),(404,1)}
        63:{1,2,4,7}:{(34,1),(48,1),(98,1),(100,1),(179,1),(192,1),(292,1),(403,1)}
        64:{1,3,6}:{(34,1),(49,1),(89,1),(99,1),(100,1),(283,1)}
        65:{4,5,7}:{(35,1),(41,1),(102,1)}
        66:{3,4,6,7}:{(35,1),(36,1),(38,1),(42,1),(102,1),(103,1)}
        67:{2,4,7}:{(36,1),(37,1),(39,1),(104,1)}
        68:{1,4,6}:{(37,1),(40,1),(44,1),(104,1),(105,1),(315,1)}
        69:{2,3,6,7}:{(38,1),(39,1),(45,1),(93,1),(103,1),(106,1)}
        70:{1,3,5,7}:{(39,1),(40,1),(94,1),(104,1),(106,1),(107,1),(181,1),(196,1),(198,1),(308,1)}
        71:{2,5,6}:{(40,1),(47,1),(105,1),(107,1),(113,1),(182,1)}
        72:{3,5,6}:{(41,1),(42,1),(102,1),(109,1),(398,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(104,1),(110,1),(111,1),(192,1),(196,1),(304,1)}
        75:{2,4,5}:{(44,1),(47,1),(105,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(486,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(99,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(100,1),(198,1)}
        80:{2,3,4,6}:{(49,1),(101,1),(115,1),(116,1),(117,1),(199,1),(207,1),(209,1),(210,1),(284,1),(295,1),(397,1)}
        81:{3,4,5}:{(51,1),(119,1),(254,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(364,1),(457,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(364,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(366,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(132,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(133,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,4}:{(60,1),(128,1),(156,1),(244,1),(328,1),(340,1)}
        89:{2,3,6}:{(64,1),(129,1),(130,1),(131,1),(340,1),(345,1)}
        90:{2,3,6}:{(56,1),(60,1),(132,1),(133,1),(149,1),(223,1)}
        91:{2,4,7}:{(55,1),(56,1),(58,1),(132,1),(134,1),(236,1)}
        92:{1,4,6}:{(56,1),(59,1),(61,1),(133,1),(134,1)}
        93:{2,6,7}:{(57,1),(58,1),(136,1),(452,1)}
        94:{1,5,7}:{(58,1),(59,1),(134,1),(136,1)}
        95:{1,2,5,6}:{(59,1),(62,1),(71,1),(127,1),(135,1),(137,1),(138,1),(141,1),(234,1),(235,1),(321,1),(353,1),(421,1),(451,1),(452,1),(504,1)}
        96:{1,3,5}:{(60,1),(61,1),(128,1),(133,1),(139,1)}
        97:{1,2,4,5}:{(61,1),(62,1),(75,1),(135,1),(139,1),(140,1),(143,1),(217,1),(227,1),(232,1),(242,1),(244,1),(321,1),(353,1),(359,1),(423,1),(443,1),(493,1)}
        98:{1,2,5,7}:{(62,1),(63,1),(77,1),(141,1),(142,1),(233,1),(450,1)}
        99:{1,3,5}:{(62,1),(64,1),(78,1),(129,1),(143,1)}
       100:{1,3,7}:{(63,1),(64,1),(79,1),(130,1)}
       101:{1,3,4,6}:{(64,1),(80,1),(131,1),(143,1),(144,1),(145,1),(229,1),(246,1),(248,1),(249,1),(341,1),(343,1),(345,1),(351,1),(444,1)}
       102:{3,5,7}:{(65,1),(66,1),(72,1),(146,1)}
       103:{2,4,6,7}:{(66,1),(67,1),(69,1),(73,1),(146,1),(147,1)}
       104:{1,4,7}:{(67,1),(68,1),(70,1),(148,1),(364,1)}
       105:{2,4,6}:{(68,1),(71,1),(75,1),(148,1),(149,1)}
       106:{1,3,6,7}:{(69,1),(70,1),(76,1),(136,1),(147,1),(150,1),(252,1)}
       107:{2,5,7}:{(70,1),(71,1),(148,1),(150,1),(236,1)}
       108:{2,3,5,6}:{(71,1),(78,1),(138,1),(149,1),(151,1),(152,1),(157,1),(237,1),(254,1),(258,1),(262,1),(353,1),(366,1),(368,1),(420,1),(452,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       109:{2,5,6}:{(72,1),(73,1),(146,1),(153,1),(346,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(148,1),(154,1),(155,1),(158,1),(251,1),(262,1),(364,1),(370,1)}
       112:{3,5}:{(75,1),(149,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(142,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(143,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(144,1),(158,1),(160,1),(253,1),(264,1),(352,1),(445,1)}
       117:{2,3,5}:{(80,1),(145,1),(159,1),(254,1),(262,1),(353,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(310,1),(414,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(90,1),(162,1),(167,1),(168,1),(199,1),(266,1),(295,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(93,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(94,1),(171,1),(173,1),(174,1),(181,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(182,1),(268,1),(376,1)}
       128:{1,3,4}:{(88,1),(96,1),(176,1),(283,1),(301,1)}
       129:{2,3,5}:{(89,1),(99,1),(178,1),(180,1),(286,1)}
       130:{2,3,7}:{(89,1),(100,1),(179,1),(400,1)}
       131:{2,4,6}:{(89,1),(101,1),(178,1),(179,1),(180,1),(290,1),(395,1),(482,1)}
       132:{2,3,7}:{(90,1),(91,1),(181,1),(198,1),(278,1)}
       133:{1,3,6}:{(90,1),(92,1),(96,1),(181,1),(182,1)}
       134:{1,4,7}:{(91,1),(92,1),(94,1),(181,1)}
       135:{1,2,4,6}:{(92,1),(95,1),(97,1),(105,1),(172,1),(182,1),(183,1),(184,1),(187,1),(289,1),(295,1),(411,1),(482,1),(517,1)}
       136:{1,6,7}:{(93,1),(94,1),(486,1)}
       137:{1,2,5,7}:{(94,1),(95,1),(107,1),(174,1),(183,1),(185,1),(186,1),(291,1),(292,1),(405,1),(487,1),(526,1)}
       138:{1,3,5,6}:{(95,1),(99,1),(108,1),(175,1),(184,1),(186,1),(187,1),(191,1),(293,1),(297,1),(304,1),(375,1),(404,1),(407,1),(409,1),(462,1),(486,1),(518,1)}
       139:{2,5}:{(96,1),(176,1),(182,1)}
       140:{1,3,5}:{(97,1),(112,1),(184,1),(189,1),(190,1),(272,1),(283,1),(286,1),(514,1)}
       141:{1,2,6}:{(98,1),(113,1),(191,1),(290,1),(486,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(100,1),(114,1),(177,1),(191,1),(192,1),(304,1)}
       143:{1,4}:{(99,1),(115,1),(178,1)}
       144:{1,3,4,7}:{(100,1),(101,1),(116,1),(179,1),(192,1),(194,1),(285,1),(306,1),(400,1),(403,1),(483,1)}
       145:{1,3,5}:{(101,1),(117,1),(180,1),(193,1),(286,1),(304,1),(398,1),(404,1)}
       146:{2,5,7}:{(102,1),(103,1),(109,1),(196,1)}
       147:{1,4,6,7}:{(103,1),(104,1),(106,1),(110,1),(196,1),(197,1)}
       148:{2,4,7}:{(104,1),(105,1),(107,1),(198,1)}
       149:{3,6}:{(105,1),(112,1),(198,1)}
       150:{2,6,7}:{(106,1),(107,1),(113,1)}
       151:{2,3,5,7}:{(107,1),(108,1),(186,1),(198,1),(200,1),(201,1),(294,1),(308,1),(310,1),(312,1),(405,1),(526,1),(542,1),(551,1)}
       152:{2,4,6}:{(108,1),(115,1),(187,1),(199,1),(201,1),(202,1),(315,1),(461,1),(550,1)}
       153:{1,5,6}:{(109,1),(110,1),(196,1),(203,1),(304,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(198,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(191,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(192,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(193,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(194,1),(208,1),(210,1),(310,1),(405,1)}
       161:{2,3,5,6}:{(117,1),(195,1),(209,1),(210,1),(211,1),(311,1),(319,1),(397,1),(406,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(254,1),(353,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(457,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(366,1),(457,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(132,1),(212,1),(218,1),(253,1),(352,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(128,1),(133,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(351,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(136,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(236,1)}
       175:{2,3,5,6}:{(127,1),(129,1),(138,1),(223,1),(225,1),(226,1),(230,1),(234,1),(237,1),(324,1),(336,1),(345,1),(346,1),(353,1),(424,1),(427,1),(439,1),(441,1),(447,1),(452,1),(497,1)}
       176:{2,4}:{(128,1),(139,1),(228,1)}
       177:{2,3,5,7}:{(129,1),(130,1),(142,1),(230,1),(231,1),(233,1),(344,1),(346,1)}
       178:{2,4}:{(129,1),(143,1),(229,1)}
       179:{2,4,7}:{(130,1),(131,1),(144,1),(233,1),(510,1)}
       180:{2,5}:{(131,1),(145,1)}
       181:{1,3,7}:{(132,1),(133,1),(134,1),(236,1)}
       182:{2,6}:{(133,1),(139,1),(236,1)}
       183:{1,2,4,7}:{(134,1),(135,1),(137,1),(148,1),(222,1),(236,1),(238,1),(241,1),(348,1),(352,1),(456,1),(510,1),(534,1)}
       184:{1,3,6}:{(135,1),(140,1),(149,1),(223,1),(237,1),(238,1),(345,1),(531,1)}
       185:{1,2,6,7}:{(136,1),(137,1),(141,1),(150,1),(224,1),(240,1),(349,1),(421,1),(452,1),(512,1),(539,1)}
       186:{1,3,5,7}:{(137,1),(138,1),(151,1),(225,1),(238,1),(240,1),(241,1),(350,1),(356,1),(450,1)}
       187:{1,4,6}:{(138,1),(143,1),(152,1),(226,1),(241,1),(242,1),(423,1)}
       188:{1,2,5}:{(139,1),(227,1),(235,1),(243,1),(443,1)}
       189:{2,3,5}:{(139,1),(140,1),(228,1),(237,1),(243,1),(244,1),(340,1),(353,1),(443,1)}
       190:{1,3,4}:{(140,1),(143,1),(156,1),(229,1),(244,1),(328,1),(423,1),(490,1)}
       191:{1,3,6}:{(141,1),(142,1),(157,1),(230,1),(246,1)}
       192:{1,4,7}:{(142,1),(143,1),(158,1),(231,1),(246,1)}
       193:{1,4,5}:{(143,1),(145,1),(159,1),(232,1),(248,1),(446,1)}
       194:{1,3,5,7}:{(144,1),(145,1),(160,1),(233,1),(247,1),(249,1),(344,1),(450,1)}
       195:{1,3,5,6}:{(145,1),(161,1),(234,1),(248,1),(249,1),(250,1),(345,1),(362,1),(444,1),(447,1),(451,1)}
       196:{1,5,7}:{(146,1),(147,1),(153,1),(251,1)}
       197:{2,4,6,7}:{(147,1),(148,1),(150,1),(154,1),(251,1),(252,1),(364,1)}
       198:{3,7}:{(148,1),(149,1)}
       199:{3,4,6}:{(149,1),(152,1),(156,1),(253,1),(254,1),(366,1),(490,1),(531,1)}
       200:{2,3,6,7}:{(150,1),(151,1),(157,1),(240,1),(252,1),(255,1),(366,1),(452,1),(491,1),(539,1),(548,1)}
       201:{2,4,7}:{(151,1),(152,1),(241,1),(253,1),(364,1),(552,1)}
       202:{2,4,5}:{(152,1),(242,1),(254,1),(262,1),(353,1),(370,1),(532,1),(546,1)}
       203:{2,5,6}:{(153,1),(154,1),(251,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(364,1)}
       206:{3,4,5}:{(156,1),(159,1),(254,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(246,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(247,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(248,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(249,1),(263,1),(366,1),(452,1)}
       211:{2,3,5,7}:{(161,1),(250,1),(264,1),(265,1),(367,1),(373,1),(445,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(310,1),(405,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(404,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(181,1),(267,1),(274,1),(278,1),(381,1),(384,1),(403,1),(463,1)}
       219:{2,4,6}:{(168,1),(176,1),(182,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(186,1),(278,1),(280,1),(281,1),(291,1),(294,1),(388,1),(390,1),(392,1),(400,1),(405,1),(485,1)}
       226:{2,4,6}:{(175,1),(178,1),(187,1),(279,1),(281,1),(282,1),(378,1),(468,1),(484,1)}
       227:{1,2,4}:{(176,1),(188,1),(283,1),(301,1),(395,1)}
       228:{2,3}:{(176,1),(283,1)}
       229:{3,4}:{(178,1),(286,1)}
       230:{2,3,6}:{(177,1),(191,1),(287,1),(290,1),(399,1)}
       231:{2,4,7}:{(177,1),(178,1),(192,1),(285,1),(287,1)}
       232:{2,4,5}:{(178,1),(180,1),(193,1),(286,1),(289,1)}
       233:{2,5,7}:{(179,1),(180,1),(194,1),(290,1)}
       234:{2,5,6}:{(180,1),(195,1),(289,1),(290,1),(291,1),(482,1)}
       235:{1,2,6}:{(182,1),(188,1),(292,1),(293,1),(482,1)}
       236:{2,7}:{(181,1),(182,1)}
       237:{2,3,6}:{(182,1),(184,1),(189,1),(293,1),(294,1),(295,1),(482,1)}
       238:{1,3,7}:{(183,1),(184,1),(198,1),(278,1),(294,1),(400,1),(542,1)}
       239:{1,3,4,6}:{(184,1),(187,1),(190,1),(199,1),(279,1),(295,1),(296,1),(297,1),(407,1)}
       240:{1,3,6,7}:{(185,1),(186,1),(191,1),(200,1),(280,1),(298,1),(407,1),(462,1),(486,1)}
       241:{1,4,7}:{(186,1),(187,1),(201,1),(281,1)}
       242:{1,4,5}:{(187,1),(202,1),(282,1),(297,1),(304,1),(404,1),(518,1)}
       243:{1,3,5}:{(188,1),(189,1),(283,1),(293,1),(301,1),(404,1)}
       244:{2,4}:{(189,1),(190,1),(301,1)}
       245:{1,3,4,5}:{(190,1),(193,1),(206,1),(286,1),(297,1),(302,1),(303,1),(382,1),(396,1),(464,1),(514,1)}
       246:{1,4,6}:{(191,1),(192,1),(207,1),(287,1),(304,1)}
       247:{1,4,5,7}:{(192,1),(193,1),(194,1),(208,1),(288,1),(304,1),(305,1),(306,1),(413,1)}
       248:{1,4,6}:{(193,1),(195,1),(209,1),(289,1),(306,1),(484,1)}
       249:{1,3,6}:{(194,1),(210,1),(290,1),(305,1),(399,1),(486,1)}
       250:{1,3,5,7}:{(195,1),(211,1),(291,1),(306,1),(307,1),(400,1),(413,1),(483,1),(485,1),(487,1)}
       251:{2,5,7}:{(196,1),(197,1),(203,1),(308,1)}
       252:{3,6,7}:{(197,1),(198,1),(204,1),(308,1)}
       253:{3,4,7}:{(198,1),(199,1),(201,1),(310,1),(542,1)}
       254:{3,5}:{(199,1),(202,1)}
       255:{2,4,6,7}:{(200,1),(201,1),(207,1),(298,1),(309,1),(312,1),(313,1),(515,1)}
       256:{2,4,5,7}:{(201,1),(202,1),(299,1),(310,1),(312,1),(313,1),(405,1),(414,1)}
       257:{2,4,5,6}:{(202,1),(209,1),(300,1),(311,1),(313,1),(314,1),(319,1),(406,1),(418,1),(517,1),(543,1),(550,1)}
       258:{3,5,6}:{(203,1),(204,1),(308,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(310,1),(316,1),(317,1),(318,1),(414,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(311,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(304,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(305,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(306,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(307,1),(320,1),(416,1),(488,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(366,1),(452,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(450,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(235,1),(321,1),(329,1),(330,1),(351,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(236,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(228,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(229,1),(328,1),(335,1),(336,1),(345,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(230,1),(240,1),(334,1),(337,1),(349,1),(424,1),(439,1),(448,1),(452,1)}
       281:{2,4,7}:{(225,1),(226,1),(241,1),(335,1),(437,1),(511,1)}
       282:{2,4,5}:{(226,1),(242,1),(336,1),(346,1),(353,1),(446,1),(497,1),(500,1)}
       283:{1,3}:{(227,1),(228,1),(340,1)}
       284:{2,3,4}:{(228,1),(229,1),(244,1),(341,1),(342,1),(490,1)}
       285:{3,4,7}:{(229,1),(231,1),(343,1),(344,1),(511,1)}
       286:{3,5}:{(229,1),(232,1),(345,1)}
       287:{2,4,6}:{(230,1),(231,1),(246,1),(343,1),(346,1)}
       288:{2,4,5,7}:{(231,1),(232,1),(233,1),(247,1),(344,1),(346,1),(347,1),(348,1),(446,1),(449,1),(511,1)}
       289:{2,4,6}:{(232,1),(234,1),(248,1),(345,1),(348,1)}
       290:{2,6}:{(233,1),(249,1)}
       291:{2,5,7}:{(234,1),(250,1),(348,1),(349,1),(510,1)}
       292:{1,2,7}:{(235,1),(236,1),(350,1),(510,1)}
       293:{1,3,6}:{(235,1),(237,1),(243,1),(350,1),(351,1)}
       294:{2,3,7}:{(236,1),(237,1),(238,1),(350,1),(352,1),(510,1)}
       295:{2,4,6}:{(237,1),(239,1),(244,1),(351,1),(352,1),(353,1),(452,1)}
       296:{1,3,4,7}:{(238,1),(239,1),(241,1),(253,1),(335,1),(352,1),(354,1)}
       297:{1,3,5}:{(239,1),(242,1),(254,1),(336,1),(353,1)}
       298:{1,4,6,7}:{(240,1),(241,1),(246,1),(255,1),(337,1),(356,1),(357,1),(494,1)}
       299:{1,4,5,7}:{(241,1),(242,1),(256,1),(338,1),(354,1),(356,1),(357,1),(450,1)}
       300:{1,4,5,6}:{(242,1),(248,1),(257,1),(339,1),(355,1),(357,1),(358,1),(362,1),(451,1),(496,1),(535,1)}
       301:{1,4}:{(243,1),(244,1)}
       302:{2,4,5}:{(244,1),(245,1),(342,1),(353,1),(359,1),(360,1),(443,1)}
       303:{1,3,4,6}:{(245,1),(248,1),(261,1),(345,1),(355,1),(360,1),(361,1),(430,1),(444,1),(496,1),(531,1)}
       304:{1,5}:{(246,1),(262,1),(346,1)}
       305:{1,4,6}:{(247,1),(249,1),(263,1),(347,1),(362,1)}
       306:{1,4,7}:{(248,1),(250,1),(264,1),(348,1),(511,1)}
       307:{1,3,6,7}:{(249,1),(250,1),(265,1),(349,1),(363,1),(448,1),(512,1)}
       308:{3,5,7}:{(251,1),(252,1),(258,1),(364,1)}
       309:{3,4,6,7}:{(252,1),(253,1),(255,1),(259,1),(364,1),(365,1),(366,1),(457,1),(529,1),(548,1),(552,1)}
       310:{3,5,7}:{(253,1),(254,1),(256,1),(366,1)}
       311:{3,5,6}:{(254,1),(257,1),(261,1),(366,1),(367,1),(531,1)}
       312:{2,5,7}:{(255,1),(262,1),(356,1),(365,1),(368,1),(532,1)}
       313:{2,4,6}:{(256,1),(357,1),(366,1),(368,1),(452,1),(457,1)}
       314:{2,4,5,7}:{(257,1),(264,1),(358,1),(367,1),(369,1),(373,1),(453,1),(459,1),(534,1),(549,1),(552,1)}
       315:{4,6}:{(258,1),(364,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(366,1),(371,1),(457,1)}
       318:{3,4,7}:{(261,1),(264,1),(367,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(362,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(363,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(404,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(486,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(292,1),(374,1),(384,1),(403,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(283,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(284,1),(295,1),(378,1),(385,1),(386,1),(387,1),(397,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(400,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(287,1),(298,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(299,1),(390,1),(392,1),(393,1),(405,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(289,1),(300,1),(391,1),(393,1),(394,1),(401,1),(406,1),(467,1),(484,1),(521,1),(523,1)}
       340:{2,3}:{(283,1),(395,1)}
       341:{1,3,4}:{(283,1),(284,1),(301,1),(395,1),(396,1)}
       342:{2,3,5}:{(284,1),(286,1),(302,1),(396,1),(397,1),(514,1)}
       343:{3,4,6}:{(285,1),(287,1),(398,1),(399,1),(484,1)}
       344:{3,5,7}:{(285,1),(286,1),(288,1),(398,1),(399,1),(400,1)}
       345:{3,6}:{(286,1),(289,1),(400,1)}
       346:{2,5}:{(287,1),(304,1),(398,1)}
       347:{2,4,6}:{(288,1),(290,1),(305,1),(399,1),(401,1),(484,1)}
       348:{2,4,7}:{(289,1),(291,1),(306,1),(400,1)}
       349:{2,6,7}:{(290,1),(291,1),(307,1)}
       350:{1,3,7}:{(292,1),(293,1),(294,1),(403,1)}
       351:{1,4,6}:{(293,1),(295,1),(301,1),(403,1),(404,1),(486,1)}
       352:{2,4,7}:{(294,1),(295,1),(296,1),(403,1),(405,1)}
       353:{2,5}:{(295,1),(297,1),(404,1)}
       354:{1,3,5,7}:{(296,1),(297,1),(299,1),(310,1),(390,1),(405,1),(407,1)}
       355:{1,3,5,6}:{(297,1),(300,1),(303,1),(311,1),(391,1),(406,1),(407,1),(408,1)}
       356:{1,5,7}:{(298,1),(304,1),(312,1),(392,1),(409,1),(518,1)}
       357:{1,4,6}:{(299,1),(313,1),(393,1),(407,1),(409,1),(486,1)}
       358:{1,4,5,7}:{(300,1),(306,1),(314,1),(394,1),(408,1),(410,1),(413,1),(487,1),(520,1),(545,1)}
       359:{1,4,5}:{(301,1),(302,1),(396,1),(404,1),(411,1)}
       360:{2,4,6}:{(302,1),(303,1),(397,1),(406,1),(411,1),(412,1),(482,1)}
       361:{1,3,4,7}:{(303,1),(306,1),(318,1),(400,1),(408,1),(412,1),(471,1),(483,1),(520,1),(542,1)}
       362:{1,5,6}:{(304,1),(305,1),(319,1),(401,1),(413,1)}
       363:{1,4,6,7}:{(305,1),(306,1),(307,1),(320,1),(402,1),(413,1)}
       364:{4,7}:{(308,1),(315,1)}
       365:{3,5,7}:{(309,1),(312,1),(316,1),(414,1),(415,1),(540,1)}
       366:{3,6}:{(310,1),(313,1)}
       367:{3,5,7}:{(311,1),(314,1),(318,1),(416,1),(542,1)}
       368:{2,5,6}:{(312,1),(313,1),(409,1),(415,1)}
       369:{2,4,6,7}:{(313,1),(314,1),(410,1),(416,1),(417,1),(488,1),(489,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(416,1),(419,1),(489,1)}
       373:{2,5,7}:{(319,1),(320,1),(413,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(450,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(446,1)}
       383:{2,3,6}:{(330,1),(340,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(351,1),(423,1),(432,1),(433,1),(434,1),(444,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(352,1),(425,1),(433,1),(435,1),(445,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(353,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(343,1),(428,1),(437,1),(438,1),(439,1),(448,1),(508,1),(511,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(345,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(356,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(357,1),(439,1),(441,1),(452,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(358,1),(440,1),(442,1),(449,1),(453,1),(499,1),(511,1),(537,1),(538,1)}
       395:{2,4}:{(340,1),(341,1),(443,1)}
       396:{1,3,5}:{(341,1),(342,1),(359,1),(443,1),(444,1)}
       397:{2,3,6}:{(342,1),(345,1),(360,1),(444,1),(445,1),(531,1)}
       398:{3,5}:{(343,1),(346,1),(446,1)}
       399:{3,6}:{(344,1),(347,1)}
       400:{3,7}:{(345,1),(348,1)}
       401:{2,5,6}:{(346,1),(347,1),(362,1),(447,1),(449,1)}
       402:{2,4,6,7}:{(347,1),(348,1),(349,1),(363,1),(448,1),(449,1),(511,1)}
       403:{1,4,7}:{(350,1),(351,1),(352,1),(450,1)}
       404:{1,5}:{(351,1),(353,1)}
       405:{2,5,7}:{(352,1),(353,1),(354,1),(450,1),(452,1)}
       406:{2,5,6}:{(353,1),(355,1),(360,1),(451,1),(452,1),(453,1)}
       407:{1,3,6}:{(354,1),(357,1),(366,1),(439,1),(452,1)}
       408:{1,3,5,7}:{(355,1),(358,1),(361,1),(367,1),(440,1),(453,1),(454,1)}
       409:{1,5,6}:{(356,1),(357,1),(368,1),(441,1)}
       410:{1,4,6,7}:{(357,1),(358,1),(369,1),(442,1),(454,1),(455,1),(512,1)}
       411:{1,4,6}:{(359,1),(360,1),(444,1),(451,1),(456,1)}
       412:{2,4,7}:{(360,1),(361,1),(445,1),(453,1),(456,1),(510,1)}
       413:{1,5,7}:{(362,1),(363,1),(373,1),(449,1)}
       414:{4,5,7}:{(364,1),(365,1),(370,1),(457,1),(546,1),(552,1)}
       415:{3,5,6}:{(365,1),(366,1),(368,1),(457,1)}
       416:{3,6,7}:{(366,1),(367,1),(369,1)}
       417:{2,5,6,7}:{(368,1),(369,1),(373,1),(455,1),(458,1),(549,1)}
       418:{4,5,6}:{(370,1),(371,1),(457,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(486,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(484,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(395,1),(461,1),(472,1),(473,1),(482,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(403,1),(463,1),(472,1),(474,1),(483,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(404,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(405,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(397,1),(406,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(398,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(400,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(409,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(410,1),(480,1),(481,1),(488,1),(528,1)}
       443:{2,5}:{(395,1),(396,1),(482,1)}
       444:{1,3,6}:{(396,1),(397,1),(411,1),(482,1),(483,1)}
       445:{2,3,7}:{(397,1),(400,1),(412,1),(483,1),(542,1)}
       446:{4,5}:{(398,1),(484,1)}
       447:{3,5,6}:{(398,1),(399,1),(401,1),(484,1),(485,1)}
       448:{3,6,7}:{(399,1),(400,1),(402,1),(485,1)}
       449:{2,5,7}:{(401,1),(402,1),(413,1),(485,1)}
       450:{1,5,7}:{(403,1),(404,1),(405,1),(486,1)}
       451:{1,5,6}:{(404,1),(406,1),(411,1),(486,1),(487,1)}
       452:{2,6}:{(405,1),(407,1),(486,1)}
       453:{2,5,7}:{(406,1),(408,1),(412,1),(487,1),(488,1)}
       454:{1,3,6,7}:{(407,1),(408,1),(410,1),(416,1),(480,1),(488,1)}
       455:{1,5,6,7}:{(409,1),(410,1),(413,1),(417,1),(481,1),(545,1)}
       456:{1,4,7}:{(411,1),(412,1),(483,1),(487,1)}
       457:{4,6}:{(414,1),(415,1)}
       458:{3,5,6,7}:{(415,1),(416,1),(417,1),(419,1),(489,1),(551,1)}
       459:{4,5,7}:{(418,1),(419,1),(489,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(511,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(510,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(450,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(451,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(452,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(445,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(446,1),(500,1),(508,1),(511,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(449,1),(455,1),(509,1),(537,1)}
       482:{2,6}:{(443,1),(444,1),(510,1)}
       483:{1,3,7}:{(444,1),(445,1),(456,1),(510,1)}
       484:{4,6}:{(446,1),(447,1),(511,1)}
       485:{3,5,7}:{(447,1),(448,1),(449,1),(511,1)}
       486:{1,6}:{(450,1),(452,1)}
       487:{1,5,7}:{(451,1),(453,1),(456,1),(512,1)}
       488:{2,6,7}:{(452,1),(453,1),(454,1),(512,1)}
       489:{4,6,7}:{(457,1),(458,1),(459,1),(552,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(482,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(486,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(488,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(485,1),(524,1),(528,1)}
       510:{2,7}:{(482,1),(483,1)}
       511:{4,7}:{(484,1),(485,1)}
       512:{1,6,7}:{(486,1),(487,1),(488,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(510,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(512,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(511,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 887 :   0:{2,5,6,7}:{(2,1),(3,1),(5,1),(96,1),(256,1),(372,1)}
         1:{2,3,4,7}:{(7,1),(8,1),(9,1),(83,1),(101,1),(166,1),(171,1),(370,1),(384,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(11,1),(138,1),(204,1),(335,1)}
         3:{3,5,6,7}:{(0,1),(13,1),(18,1),(61,1),(310,1),(408,1)}
         4:{3,4,5,7}:{(15,1),(16,1),(22,1),(61,1),(66,1),(208,1),(314,1),(407,1),(416,1)}
         5:{2,4,6,7}:{(0,1),(11,1),(13,1),(17,1),(18,1),(54,1),(417,1)}
         6:{2,4,5,6}:{(12,1),(14,1),(17,1),(19,1),(56,1),(63,1),(69,1),(214,1),(307,1),(323,1),(403,1),(417,1)}
         7:{2,3,5,7}:{(1,1),(16,1),(20,1),(21,1),(23,1),(416,1),(429,1)}
         8:{2,3,4,6}:{(1,1),(20,1),(23,1),(24,1),(69,1),(122,1),(123,1),(128,1),(216,1),(219,1),(322,1),(337,1)}
         9:{1,3,4,7}:{(1,1),(21,1),(24,1),(25,1),(60,1),(132,1),(142,1),(143,1),(222,1),(242,1),(428,1)}
        10:{2,5,6,7}:{(2,1),(26,1),(27,1),(156,1),(185,1),(299,1)}
        11:{1,4,6,7}:{(2,1),(5,1),(27,1),(29,1),(30,1),(86,1),(386,1)}
        12:{1,4,5,6}:{(6,1),(28,1),(29,1),(31,1),(88,1),(98,1),(104,1),(163,1),(253,1),(284,1),(386,1)}
        13:{4,6,7}:{(3,1),(34,1),(360,1),(446,1)}
        14:{4,5,6}:{(34,1),(36,1),(365,1),(446,1)}
        15:{3,4,6}:{(4,1),(36,1),(37,1),(446,1),(456,1)}
        16:{2,4,5,7}:{(4,1),(7,1),(37,1),(38,1),(45,1),(96,1),(101,1),(166,1),(269,1)}
        17:{2,4,5,7}:{(5,1),(6,1),(29,1),(34,1),(39,1),(85,1),(96,1),(101,1),(256,1),(263,1),(360,1)}
        18:{3,6,7}:{(5,1),(39,1),(456,1)}
        19:{3,5,6}:{(6,1),(39,1),(41,1),(267,1),(375,1),(456,1)}
        20:{2,3,6}:{(7,1),(37,1),(43,1),(456,1),(466,1)}
        21:{1,3,5,7}:{(7,1),(9,1),(38,1),(43,1),(44,1),(46,1),(100,1),(465,1)}
        22:{3,4,5}:{(41,1),(45,1),(273,1),(375,1),(442,1)}
        23:{2,3,5}:{(8,1),(45,1),(46,1),(269,1),(375,1),(389,1)}
        24:{1,3,4,6}:{(8,1),(9,1),(43,1),(46,1),(47,1),(94,1),(104,1),(167,1),(175,1),(178,1),(182,1),(188,1),(193,1),(197,1),(388,1)}
        25:{2,4,7}:{(9,1),(44,1),(47,1),(48,1),(277,1)}
        26:{3,5,6,7}:{(10,1),(49,1),(51,1),(113,1),(237,1),(346,1)}
        27:{2,4,6,7}:{(10,1),(11,1),(49,1),(50,1),(51,1),(54,1),(350,1)}
        28:{2,4,5,6}:{(12,1),(50,1),(52,1),(56,1),(112,1),(119,1),(140,1),(146,1),(202,1),(239,1),(246,1),(350,1)}
        29:{1,4,5,7}:{(11,1),(12,1),(17,1),(50,1),(53,1),(126,1),(138,1),(143,1),(204,1),(210,1)}
        30:{1,3,6,7}:{(11,1),(18,1),(51,1),(53,1),(54,1),(430,1)}
        31:{1,3,5,6}:{(12,1),(19,1),(52,1),(53,1),(55,1),(56,1),(338,1),(430,1)}
        32:{1,3,4,5}:{(22,1),(55,1),(58,1),(73,1),(115,1),(133,1),(150,1),(207,1),(233,1),(313,1),(338,1)}
        33:{1,2,4,7}:{(25,1),(57,1),(59,1),(60,1),(124,1),(132,1),(331,1),(428,1)}
        34:{4,5,7}:{(13,1),(14,1),(61,1)}
        35:{3,4,6,7}:{(13,1),(15,1),(18,1),(61,1),(62,1),(66,1)}
        36:{3,5,6}:{(14,1),(15,1),(61,1),(63,1),(314,1)}
        37:{2,4,6}:{(15,1),(16,1),(20,1),(63,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(21,1),(64,1),(65,1),(73,1),(132,1),(138,1),(143,1),(229,1)}
        39:{3,5,7}:{(17,1),(18,1),(19,1),(66,1),(317,1)}
        40:{2,3,6,7}:{(18,1),(20,1),(54,1),(62,1),(67,1),(68,1)}
        41:{3,4,6}:{(19,1),(22,1),(66,1),(69,1),(403,1)}
        42:{2,3,5,6}:{(19,1),(20,1),(23,1),(56,1),(63,1),(67,1),(69,1),(70,1),(128,1)}
        43:{1,3,6}:{(20,1),(21,1),(64,1),(71,1),(141,1),(493,1)}
        44:{2,5,7}:{(21,1),(25,1),(71,1),(74,1)}
        45:{2,4,5}:{(22,1),(23,1),(69,1),(73,1),(219,1)}
        46:{1,3,5}:{(23,1),(24,1),(73,1),(74,1),(150,1),(229,1),(240,1),(432,1)}
        47:{2,4,6}:{(24,1),(25,1),(71,1),(74,1),(75,1),(151,1),(218,1),(226,1)}
        48:{2,3,7}:{(25,1),(60,1),(75,1),(242,1)}
        49:{4,6,7}:{(26,1),(77,1),(292,1),(395,1)}
        50:{2,4,5,7}:{(27,1),(28,1),(29,1),(77,1),(79,1),(85,1),(156,1),(159,1),(185,1),(190,1),(292,1)}
        51:{3,6,7}:{(27,1),(79,1),(398,1)}
        52:{3,5,6}:{(28,1),(79,1),(81,1),(193,1),(300,1),(398,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(31,1),(39,1),(79,1),(84,1),(85,1)}
        54:{2,6,7}:{(30,1),(85,1),(86,1),(466,1)}
        55:{1,3,4,6}:{(31,1),(32,1),(41,1),(81,1),(84,1),(87,1),(104,1),(163,1),(175,1),(193,1),(267,1)}
        56:{2,5,6}:{(31,1),(85,1),(87,1),(88,1),(389,1),(466,1)}
        57:{1,2,5,7}:{(33,1),(44,1),(89,1),(90,1),(93,1),(170,1),(465,1)}
        58:{2,4,5}:{(32,1),(87,1),(91,1),(92,1),(180,1),(288,1),(389,1)}
        59:{1,2,4,6}:{(33,1),(47,1),(89,1),(93,1),(94,1),(169,1),(178,1),(182,1),(271,1),(281,1),(388,1)}
        60:{1,3,7}:{(33,1),(48,1),(83,1),(94,1)}
        61:{3,5,7}:{(34,1),(35,1),(36,1),(96,1)}
        62:{2,4,6,7}:{(35,1),(37,1),(40,1),(96,1),(97,1),(101,1)}
        63:{2,5,6}:{(36,1),(37,1),(96,1),(98,1),(269,1)}
        64:{1,4,6}:{(37,1),(38,1),(43,1),(98,1),(99,1)}
        65:{2,4,5,7}:{(38,1),(44,1),(99,1),(100,1),(107,1),(108,1),(185,1),(190,1),(195,1),(292,1),(294,1)}
        66:{3,4,7}:{(39,1),(41,1),(101,1),(360,1)}
        67:{2,3,5,7}:{(39,1),(40,1),(42,1),(85,1),(96,1),(101,1),(102,1),(171,1)}
        68:{1,3,6,7}:{(40,1),(43,1),(86,1),(97,1),(102,1),(103,1),(186,1)}
        69:{2,4,6}:{(41,1),(42,1),(45,1),(101,1),(104,1)}
        70:{1,3,5,6}:{(42,1),(43,1),(46,1),(88,1),(98,1),(102,1),(104,1),(105,1),(175,1),(187,1),(193,1)}
        71:{2,6}:{(43,1),(44,1)}
        72:{2,3,5,7}:{(44,1),(48,1),(90,1),(100,1),(106,1),(107,1),(109,1),(195,1)}
        73:{1,4,5}:{(45,1),(46,1),(104,1),(108,1),(182,1),(294,1)}
        74:{2,5}:{(46,1),(47,1)}
        75:{2,3,6}:{(47,1),(48,1),(94,1),(109,1),(193,1),(272,1)}
        76:{2,3,4,7}:{(48,1),(95,1),(107,1),(110,1),(111,1),(297,1),(304,1),(384,1),(464,1)}
        77:{4,5,7}:{(49,1),(112,1),(113,1)}
        78:{3,4,6,7}:{(49,1),(51,1),(113,1),(114,1),(116,1),(201,1)}
        79:{3,5,7}:{(50,1),(51,1),(52,1),(116,1),(242,1)}
        80:{2,3,6,7}:{(51,1),(54,1),(114,1),(117,1),(118,1),(305,1)}
        81:{3,4,6}:{(52,1),(115,1),(116,1),(119,1),(239,1)}
        82:{2,3,5,6}:{(52,1),(56,1),(117,1),(119,1),(120,1),(128,1),(202,1),(206,1),(305,1)}
        83:{2,3,7}:{(60,1),(123,1),(124,1),(427,1)}
        84:{1,3,4,7}:{(53,1),(55,1),(66,1),(116,1),(125,1),(143,1),(210,1),(222,1),(242,1),(317,1)}
        85:{2,5,7}:{(53,1),(54,1),(56,1),(125,1),(126,1)}
        86:{1,6,7}:{(54,1),(126,1),(493,1)}
        87:{2,4,6}:{(55,1),(56,1),(58,1),(125,1),(128,1),(129,1),(226,1)}
        88:{1,5,6}:{(56,1),(126,1),(129,1),(432,1),(493,1)}
        89:{1,2,6}:{(57,1),(71,1),(131,1),(221,1),(493,1)}
        90:{1,3,5,7}:{(57,1),(60,1),(72,1),(121,1),(131,1),(132,1),(135,1),(229,1)}
        91:{2,3,5}:{(58,1),(122,1),(128,1),(133,1),(150,1),(313,1)}
        92:{1,4,5}:{(58,1),(129,1),(133,1),(341,1),(432,1)}
        93:{1,2,5}:{(59,1),(74,1),(135,1),(220,1),(229,1),(432,1)}
        94:{1,3,6}:{(59,1),(60,1),(75,1),(123,1),(135,1),(326,1)}
        95:{1,3,4,7}:{(60,1),(76,1),(124,1),(132,1),(136,1),(137,1),(208,1),(344,1),(427,1),(428,1),(492,1)}
        96:{2,5,7}:{(61,1),(62,1),(63,1),(138,1)}
        97:{1,4,6,7}:{(62,1),(64,1),(68,1),(138,1),(139,1),(143,1)}
        98:{1,5,6}:{(63,1),(64,1),(138,1),(140,1),(229,1)}
        99:{2,4,6}:{(64,1),(65,1),(71,1),(140,1),(141,1),(239,1)}
       100:{3,5,7}:{(65,1),(141,1),(142,1),(150,1),(240,1),(242,1)}
       101:{2,4,7}:{(66,1),(67,1),(69,1),(143,1)}
       102:{1,3,5,7}:{(67,1),(68,1),(70,1),(126,1),(138,1),(143,1),(144,1),(222,1),(237,1),(242,1)}
       103:{2,6,7}:{(68,1),(71,1),(144,1)}
       104:{1,4,6}:{(69,1),(70,1),(73,1),(143,1),(146,1),(239,1)}
       105:{2,5,6}:{(70,1),(71,1),(74,1),(144,1),(146,1),(226,1)}
       106:{2,3,6}:{(71,1),(72,1),(131,1),(141,1),(148,1)}
       107:{2,4,7}:{(72,1),(132,1),(142,1),(148,1),(151,1)}
       108:{2,4,5}:{(73,1),(74,1),(146,1),(150,1),(151,1)}
       109:{2,3,5}:{(74,1),(75,1),(135,1),(150,1),(151,1)}
       110:{2,3,4,6}:{(75,1),(76,1),(136,1),(148,1),(151,1),(152,1),(153,1),(245,1),(250,1),(327,1),(337,1),(426,1)}
       111:{2,3,5,7}:{(76,1),(137,1),(149,1),(152,1),(153,1),(349,1),(429,1)}
       112:{4,5,6}:{(77,1),(154,1),(395,1),(546,1)}
       113:{3,5,7}:{(77,1),(78,1),(154,1),(156,1)}
       114:{2,4,6,7}:{(78,1),(80,1),(156,1),(157,1),(159,1),(252,1)}
       115:{3,4,5}:{(81,1),(158,1),(294,1),(300,1),(505,1)}
       116:{3,4,7}:{(79,1),(81,1),(159,1),(292,1)}
       117:{2,3,5,7}:{(79,1),(80,1),(82,1),(85,1),(156,1),(159,1),(160,1),(171,1)}
       118:{1,3,6,7}:{(80,1),(86,1),(157,1),(160,1),(161,1),(257,1),(355,1)}
       119:{2,4,6}:{(81,1),(82,1),(158,1),(159,1),(163,1)}
       120:{1,3,5,6}:{(82,1),(88,1),(160,1),(163,1),(164,1),(175,1),(253,1),(258,1),(267,1),(355,1),(357,1)}
       121:{2,3,5,7}:{(83,1),(90,1),(165,1),(166,1),(168,1),(170,1),(261,1),(269,1)}
       122:{2,3,4}:{(91,1),(167,1),(197,1),(288,1),(364,1),(378,1)}
       123:{2,3,6}:{(83,1),(94,1),(168,1),(169,1),(378,1),(381,1)}
       124:{2,4,7}:{(83,1),(95,1),(169,1),(170,1),(514,1)}
       125:{2,4,7}:{(84,1),(85,1),(87,1),(171,1),(172,1),(277,1)}
       126:{1,5,7}:{(85,1),(86,1),(88,1),(172,1)}
       127:{1,2,6,7}:{(86,1),(89,1),(103,1),(161,1),(173,1),(174,1),(276,1),(439,1),(466,1),(515,1),(539,1)}
       128:{2,3,6}:{(87,1),(91,1),(171,1),(175,1),(193,1),(267,1)}
       129:{1,4,6}:{(87,1),(88,1),(92,1),(172,1),(175,1)}
       130:{1,2,5,6}:{(88,1),(89,1),(93,1),(105,1),(164,1),(173,1),(176,1),(177,1),(275,1),(281,1),(362,1),(389,1),(439,1),(466,1),(468,1),(512,1)}
       131:{1,3,6}:{(89,1),(90,1),(106,1),(165,1),(178,1)}
       132:{1,4,7}:{(90,1),(107,1),(166,1),(178,1),(182,1)}
       133:{1,3,5}:{(91,1),(92,1),(167,1),(175,1),(180,1)}
       134:{1,2,4,5}:{(92,1),(93,1),(108,1),(176,1),(180,1),(181,1),(182,1),(259,1),(271,1),(274,1),(284,1),(288,1),(362,1),(389,1),(392,1),(449,1),(462,1),(506,1)}
       135:{1,3,5}:{(93,1),(94,1),(109,1),(168,1),(182,1)}
       136:{1,3,4,6}:{(94,1),(95,1),(110,1),(169,1),(178,1),(182,1),(183,1),(184,1),(260,1),(273,1),(290,1),(379,1),(381,1),(388,1),(463,1)}
       137:{1,3,5,7}:{(95,1),(111,1),(170,1),(179,1),(183,1),(184,1),(261,1),(465,1)}
       138:{1,5,7}:{(96,1),(97,1),(98,1),(185,1)}
       139:{2,4,6,7}:{(97,1),(99,1),(103,1),(185,1),(186,1),(190,1),(292,1)}
       140:{2,5,6}:{(98,1),(99,1),(185,1),(187,1),(195,1)}
       141:{3,6}:{(99,1),(100,1)}
       142:{3,4,7}:{(100,1),(107,1),(188,1),(197,1),(292,1)}
       143:{1,4,7}:{(101,1),(102,1),(104,1),(190,1),(292,1)}
       144:{2,5,7}:{(102,1),(103,1),(105,1),(190,1),(277,1)}
       145:{2,3,6,7}:{(103,1),(106,1),(174,1),(186,1),(191,1),(192,1),(398,1),(466,1),(496,1),(539,1),(549,1)}
       146:{2,4,6}:{(104,1),(105,1),(108,1),(190,1),(193,1)}
       147:{2,3,5,6}:{(105,1),(106,1),(109,1),(177,1),(187,1),(191,1),(193,1),(194,1),(195,1),(282,1),(299,1),(300,1),(389,1),(398,1),(448,1),(466,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       148:{2,4,6}:{(106,1),(107,1),(178,1),(188,1),(195,1)}
       149:{2,4,5,7}:{(107,1),(111,1),(179,1),(189,1),(195,1),(196,1),(198,1),(302,1),(304,1)}
       150:{3,5}:{(108,1),(193,1),(197,1)}
       151:{2,4}:{(109,1),(182,1),(197,1)}
       152:{2,3,5}:{(110,1),(183,1),(195,1),(198,1),(300,1),(389,1)}
       153:{2,3,6}:{(111,1),(184,1),(196,1),(398,1),(466,1)}
       154:{3,5,6}:{(112,1),(113,1),(201,1),(202,1),(540,1)}
       155:{3,4,5,7}:{(113,1),(115,1),(116,1),(201,1),(203,1),(345,1),(349,1),(520,1),(540,1)}
       156:{2,5,7}:{(113,1),(114,1),(202,1),(204,1)}
       157:{1,4,6,7}:{(114,1),(118,1),(204,1),(205,1),(210,1),(306,1)}
       158:{2,4,5}:{(115,1),(119,1),(206,1),(207,1),(480,1)}
       159:{2,4,7}:{(116,1),(117,1),(119,1),(210,1)}
       160:{1,3,5,7}:{(117,1),(118,1),(120,1),(126,1),(204,1),(210,1),(211,1),(222,1),(310,1),(317,1)}
       161:{2,6,7}:{(118,1),(211,1),(401,1)}
       162:{2,3,4,6}:{(119,1),(122,1),(128,1),(206,1),(209,1),(213,1),(245,1),(305,1),(337,1),(419,1),(480,1),(516,1)}
       163:{1,4,6}:{(119,1),(120,1),(207,1),(210,1),(214,1),(403,1)}
       164:{2,5,6}:{(120,1),(211,1),(214,1),(226,1),(312,1),(401,1)}
       165:{2,3,6}:{(121,1),(131,1),(216,1),(221,1),(315,1)}
       166:{2,4,7}:{(121,1),(132,1),(208,1),(216,1),(219,1)}
       167:{1,3,4}:{(122,1),(133,1),(218,1),(326,1),(341,1)}
       168:{2,3,5}:{(123,1),(135,1),(219,1),(220,1),(328,1)}
       169:{2,4,6}:{(123,1),(124,1),(136,1),(219,1),(220,1),(221,1),(424,1),(491,1)}
       170:{2,5,7}:{(124,1),(137,1),(220,1),(221,1)}
       171:{2,3,7}:{(125,1),(128,1),(222,1),(242,1),(317,1)}
       172:{1,4,7}:{(125,1),(126,1),(129,1),(222,1)}
       173:{1,2,5,7}:{(126,1),(127,1),(130,1),(144,1),(211,1),(223,1),(224,1),(330,1),(331,1),(429,1),(495,1),(529,1)}
       174:{1,3,6,7}:{(127,1),(131,1),(145,1),(212,1),(224,1),(225,1),(430,1),(471,1),(493,1)}
       175:{1,3,6}:{(128,1),(129,1),(133,1),(222,1),(226,1)}
       176:{1,2,4,6}:{(129,1),(130,1),(134,1),(146,1),(214,1),(223,1),(226,1),(227,1),(228,1),(329,1),(337,1),(435,1),(491,1),(525,1)}
       177:{1,3,5,6}:{(130,1),(131,1),(135,1),(147,1),(215,1),(224,1),(227,1),(228,1),(229,1),(335,1),(336,1),(338,1),(409,1),(430,1),(432,1),(471,1),(493,1),(517,1)}
       178:{1,4,6}:{(131,1),(132,1),(148,1),(216,1),(229,1)}
       179:{1,4,5,7}:{(132,1),(137,1),(149,1),(217,1),(229,1),(230,1),(234,1),(340,1),(344,1)}
       180:{2,5}:{(133,1),(218,1),(226,1)}
       181:{1,3,5}:{(134,1),(150,1),(227,1),(232,1),(233,1),(313,1),(326,1),(328,1),(524,1)}
       182:{1,4}:{(135,1),(151,1),(219,1)}
       183:{1,3,5}:{(136,1),(152,1),(220,1),(229,1),(234,1),(314,1),(328,1),(432,1)}
       184:{1,3,6}:{(137,1),(153,1),(221,1),(230,1),(315,1),(493,1)}
       185:{2,5,7}:{(138,1),(139,1),(140,1),(237,1)}
       186:{3,6,7}:{(139,1),(141,1),(237,1),(242,1)}
       187:{3,5,6}:{(140,1),(141,1),(237,1),(239,1),(240,1)}
       188:{3,4,6}:{(141,1),(142,1),(148,1),(239,1),(240,1)}
       189:{3,4,5,7}:{(142,1),(149,1),(240,1),(241,1),(249,1),(345,1),(348,1),(349,1),(354,1)}
       190:{2,4,7}:{(143,1),(144,1),(146,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(147,1),(224,1),(237,1),(242,1),(243,1),(244,1),(332,1),(349,1),(429,1),(529,1),(545,1),(551,1)}
       192:{2,4,6,7}:{(145,1),(148,1),(225,1),(238,1),(243,1),(244,1),(350,1),(516,1)}
       193:{3,6}:{(146,1),(150,1),(242,1)}
       194:{2,4,6}:{(147,1),(151,1),(228,1),(239,1),(243,1),(245,1),(246,1),(480,1),(550,1)}
       195:{2,5}:{(148,1),(229,1),(240,1)}
       196:{2,4,6}:{(149,1),(153,1),(230,1),(241,1),(247,1)}
       197:{3,4}:{(150,1),(151,1)}
       198:{2,4,5}:{(151,1),(152,1),(234,1),(249,1),(250,1)}
       199:{2,3,5,6}:{(152,1),(153,1),(235,1),(247,1),(250,1),(251,1),(352,1),(426,1),(433,1)}
       200:{2,3,6,7}:{(153,1),(236,1),(248,1),(251,1),(438,1),(494,1)}
       201:{3,4,6}:{(154,1),(155,1),(252,1),(395,1),(398,1)}
       202:{2,5,6}:{(154,1),(156,1),(252,1),(253,1),(531,1)}
       203:{2,4,5,7}:{(155,1),(156,1),(158,1),(159,1),(252,1),(254,1),(255,1),(501,1),(531,1)}
       204:{1,5,7}:{(156,1),(157,1),(253,1),(256,1)}
       205:{2,4,6,7}:{(157,1),(161,1),(256,1),(257,1),(263,1),(356,1),(360,1)}
       206:{2,3,5}:{(158,1),(162,1),(258,1),(300,1),(389,1),(531,1)}
       207:{1,4,5}:{(158,1),(163,1),(258,1),(259,1),(442,1),(449,1)}
       208:{3,4,7}:{(166,1),(260,1),(261,1),(273,1),(452,1)}
       209:{2,3,4,7}:{(159,1),(162,1),(171,1),(254,1),(262,1),(297,1),(384,1),(453,1),(501,1)}
       210:{1,4,7}:{(159,1),(160,1),(163,1),(263,1),(360,1)}
       211:{2,5,7}:{(160,1),(161,1),(164,1),(263,1),(277,1)}
       212:{2,3,6,7}:{(161,1),(165,1),(174,1),(257,1),(264,1),(265,1),(276,1),(367,1),(440,1),(456,1),(466,1)}
       213:{1,3,4,6}:{(162,1),(163,1),(167,1),(175,1),(258,1),(262,1),(266,1),(267,1),(355,1),(364,1),(373,1),(388,1),(441,1),(449,1),(497,1)}
       214:{2,4,6}:{(163,1),(164,1),(259,1),(263,1),(267,1)}
       215:{2,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(264,1),(267,1),(268,1),(269,1),(275,1),(282,1),(357,1),(363,1),(366,1),(372,1),(375,1),(381,1),(389,1),(440,1),(456,1),(466,1),(498,1)}
       216:{2,4,6}:{(165,1),(166,1),(178,1),(260,1),(269,1)}
       217:{2,4,5,7}:{(166,1),(170,1),(179,1),(261,1),(269,1),(270,1),(274,1),(365,1),(377,1),(382,1),(452,1)}
       218:{2,4}:{(167,1),(180,1),(272,1)}
       219:{2,4}:{(168,1),(182,1),(273,1)}
       220:{2,5}:{(169,1),(183,1)}
       221:{2,6}:{(170,1),(184,1)}
       222:{1,3,7}:{(171,1),(172,1),(175,1),(277,1)}
       223:{1,2,4,7}:{(172,1),(173,1),(176,1),(190,1),(263,1),(277,1),(278,1),(279,1),(382,1),(384,1),(470,1),(514,1),(538,1)}
       224:{1,3,5,7}:{(173,1),(174,1),(177,1),(191,1),(264,1),(278,1),(279,1),(280,1),(383,1),(465,1)}
       225:{1,4,6,7}:{(174,1),(178,1),(192,1),(265,1),(279,1),(280,1),(386,1),(497,1)}
       226:{2,6}:{(175,1),(180,1),(277,1)}
       227:{1,3,6}:{(176,1),(181,1),(193,1),(267,1),(278,1),(282,1),(381,1),(537,1)}
       228:{1,4,6}:{(177,1),(182,1),(194,1),(268,1),(279,1),(284,1),(449,1)}
       229:{1,5}:{(178,1),(195,1),(269,1)}
       230:{1,4,6}:{(179,1),(184,1),(196,1),(270,1),(285,1)}
       231:{1,2,5}:{(180,1),(271,1),(281,1),(287,1),(462,1)}
       232:{2,3,5}:{(180,1),(181,1),(272,1),(282,1),(287,1),(288,1),(378,1),(389,1),(462,1)}
       233:{1,3,4}:{(181,1),(182,1),(197,1),(273,1),(288,1),(364,1),(449,1),(505,1)}
       234:{1,4,5}:{(182,1),(183,1),(198,1),(274,1),(290,1),(365,1)}
       235:{1,3,5,6}:{(183,1),(184,1),(199,1),(275,1),(285,1),(290,1),(291,1),(366,1),(381,1),(463,1),(468,1)}
       236:{1,3,6,7}:{(184,1),(200,1),(276,1),(286,1),(291,1),(367,1),(515,1)}
       237:{3,5,7}:{(185,1),(186,1),(187,1),(292,1)}
       238:{3,4,6,7}:{(186,1),(188,1),(192,1),(292,1),(293,1),(297,1),(395,1),(398,1),(530,1),(549,1),(552,1)}
       239:{4,6}:{(187,1),(292,1),(294,1)}
       240:{3,5}:{(188,1),(195,1),(294,1)}
       241:{3,4,6}:{(189,1),(196,1),(295,1),(395,1),(398,1)}
       242:{3,7}:{(190,1),(193,1)}
       243:{2,4,7}:{(191,1),(194,1),(279,1),(292,1),(297,1),(552,1)}
       244:{2,5,7}:{(192,1),(195,1),(280,1),(293,1),(299,1),(531,1)}
       245:{3,4,6}:{(193,1),(194,1),(197,1),(297,1),(300,1),(398,1),(505,1),(537,1)}
       246:{2,4,5}:{(194,1),(195,1),(284,1),(294,1),(300,1),(389,1),(531,1),(546,1)}
       247:{2,5,6}:{(195,1),(196,1),(285,1),(295,1),(302,1)}
       248:{2,4,6,7}:{(196,1),(200,1),(286,1),(296,1),(302,1),(304,1)}
       249:{3,4,5}:{(197,1),(198,1),(300,1),(303,1),(546,1)}
       250:{2,4,6}:{(198,1),(199,1),(290,1),(303,1),(304,1)}
       251:{2,3,5,7}:{(199,1),(200,1),(291,1),(302,1),(304,1),(400,1),(464,1),(469,1)}
       252:{2,4,6}:{(201,1),(202,1),(203,1),(305,1),(306,1)}
       253:{1,5,6}:{(202,1),(204,1),(306,1),(307,1),(517,1)}
       254:{2,3,5,7}:{(203,1),(206,1),(209,1),(305,1),(308,1),(349,1),(429,1)}
       255:{1,4,5,7}:{(203,1),(204,1),(207,1),(210,1),(306,1),(308,1),(309,1),(476,1),(517,1)}
       256:{2,5,7}:{(204,1),(205,1),(307,1),(310,1)}
       257:{3,6,7}:{(205,1),(310,1),(317,1),(402,1)}
       258:{1,3,5}:{(206,1),(207,1),(213,1),(312,1),(313,1),(432,1),(473,1),(517,1)}
       259:{2,4,5}:{(207,1),(214,1),(312,1),(313,1),(410,1)}
       260:{3,4,6}:{(208,1),(216,1),(314,1),(315,1),(412,1)}
       261:{3,5,7}:{(208,1),(217,1),(314,1),(315,1),(328,1),(427,1)}
       262:{1,3,4,7}:{(209,1),(210,1),(213,1),(222,1),(308,1),(316,1),(317,1),(406,1),(414,1),(428,1),(476,1)}
       263:{2,4,7}:{(210,1),(211,1),(214,1),(317,1)}
       264:{2,3,5,7}:{(211,1),(212,1),(215,1),(224,1),(310,1),(317,1),(318,1),(319,1),(330,1),(332,1),(413,1),(416,1),(427,1),(429,1)}
       265:{2,4,6,7}:{(212,1),(216,1),(225,1),(311,1),(318,1),(319,1),(417,1),(472,1)}
       266:{2,4,6}:{(213,1),(218,1),(226,1),(312,1),(316,1),(321,1),(401,1),(410,1)}
       267:{3,6}:{(214,1),(313,1),(317,1)}
       268:{2,4,6}:{(215,1),(219,1),(228,1),(318,1),(322,1),(323,1),(403,1),(410,1),(412,1)}
       269:{2,5}:{(216,1),(229,1),(314,1)}
       270:{2,4,6}:{(217,1),(221,1),(230,1),(315,1),(324,1),(412,1)}
       271:{1,2,4}:{(218,1),(231,1),(326,1),(341,1),(424,1)}
       272:{2,3}:{(218,1),(326,1)}
       273:{3,4}:{(219,1),(328,1)}
       274:{2,4,5}:{(219,1),(220,1),(234,1),(328,1),(329,1)}
       275:{2,5,6}:{(220,1),(221,1),(235,1),(329,1),(330,1),(491,1)}
       276:{2,6,7}:{(221,1),(236,1),(330,1)}
       277:{2,7}:{(222,1),(226,1)}
       278:{1,3,7}:{(223,1),(227,1),(242,1),(317,1),(332,1),(427,1),(545,1)}
       279:{1,4,7}:{(224,1),(228,1),(243,1),(318,1)}
       280:{1,5,7}:{(225,1),(229,1),(244,1),(319,1),(335,1),(517,1)}
       281:{1,2,6}:{(226,1),(231,1),(331,1),(336,1),(491,1)}
       282:{2,3,6}:{(226,1),(227,1),(232,1),(332,1),(336,1),(337,1),(491,1)}
       283:{1,3,4,6}:{(227,1),(228,1),(233,1),(245,1),(322,1),(333,1),(337,1),(338,1),(430,1)}
       284:{1,4,5}:{(228,1),(229,1),(246,1),(323,1),(338,1),(432,1),(517,1)}
       285:{1,5,6}:{(229,1),(230,1),(247,1),(324,1),(340,1)}
       286:{1,4,6,7}:{(230,1),(236,1),(248,1),(325,1),(340,1),(344,1)}
       287:{1,3,5}:{(231,1),(232,1),(326,1),(336,1),(341,1),(432,1)}
       288:{2,4}:{(232,1),(233,1),(341,1)}
       289:{1,3,4,5}:{(233,1),(234,1),(249,1),(328,1),(338,1),(342,1),(343,1),(411,1),(425,1),(481,1),(524,1)}
       290:{1,4,6}:{(234,1),(235,1),(250,1),(329,1),(344,1),(412,1)}
       291:{1,3,5,7}:{(235,1),(236,1),(251,1),(330,1),(340,1),(344,1),(413,1),(427,1),(492,1),(495,1)}
       292:{4,7}:{(237,1),(239,1)}
       293:{3,5,7}:{(238,1),(240,1),(244,1),(345,1),(346,1),(540,1)}
       294:{4,5}:{(239,1),(240,1)}
       295:{3,5,6}:{(240,1),(241,1),(247,1),(347,1),(348,1)}
       296:{3,4,6,7}:{(241,1),(248,1),(348,1),(354,1),(437,1),(438,1)}
       297:{3,4,7}:{(242,1),(243,1),(245,1),(349,1),(545,1)}
       298:{2,4,5,7}:{(243,1),(244,1),(246,1),(334,1),(345,1),(349,1),(350,1),(429,1)}
       299:{2,5,6}:{(244,1),(335,1),(346,1),(350,1)}
       300:{3,5}:{(245,1),(246,1)}
       301:{2,4,5,6}:{(246,1),(247,1),(250,1),(339,1),(347,1),(350,1),(352,1),(353,1),(433,1),(525,1),(541,1),(550,1)}
       302:{2,5,7}:{(247,1),(248,1),(340,1),(348,1)}
       303:{3,4,6}:{(249,1),(250,1),(352,1),(354,1),(550,1)}
       304:{2,4,7}:{(250,1),(251,1),(344,1),(354,1)}
       305:{2,3,6}:{(252,1),(254,1),(355,1),(398,1),(466,1)}
       306:{1,4,6}:{(252,1),(253,1),(255,1),(355,1),(356,1)}
       307:{2,5,6}:{(253,1),(256,1),(356,1),(357,1),(498,1)}
       308:{1,3,5,7}:{(254,1),(255,1),(258,1),(262,1),(355,1),(358,1),(359,1),(465,1)}
       309:{2,4,5,7}:{(255,1),(256,1),(259,1),(263,1),(356,1),(358,1),(359,1),(360,1),(442,1),(444,1),(498,1)}
       310:{3,5,7}:{(256,1),(257,1),(357,1),(360,1)}
       311:{3,4,6,7}:{(257,1),(260,1),(265,1),(360,1),(361,1),(367,1),(370,1),(441,1),(446,1),(452,1),(456,1)}
       312:{2,5}:{(258,1),(266,1)}
       313:{3,5}:{(259,1),(267,1),(364,1)}
       314:{3,5}:{(260,1),(269,1),(365,1)}
       315:{3,6}:{(261,1),(270,1)}
       316:{2,4,7}:{(262,1),(266,1),(277,1),(358,1),(369,1)}
       317:{3,7}:{(263,1),(267,1)}
       318:{2,4,7}:{(264,1),(268,1),(279,1),(360,1),(370,1),(452,1)}
       319:{2,5,7}:{(265,1),(269,1),(280,1),(361,1),(372,1),(498,1)}
       320:{1,2,4,6}:{(266,1),(271,1),(281,1),(362,1),(368,1),(373,1),(388,1),(439,1),(449,1),(458,1),(497,1)}
       321:{2,3,6}:{(266,1),(267,1),(272,1),(363,1),(369,1),(373,1)}
       322:{3,4,6}:{(267,1),(268,1),(273,1),(364,1),(370,1),(375,1),(381,1),(456,1)}
       323:{2,4,5}:{(268,1),(269,1),(284,1),(365,1),(375,1),(389,1),(442,1),(498,1)}
       324:{2,5,6}:{(269,1),(270,1),(285,1),(366,1),(377,1)}
       325:{2,4,6,7}:{(270,1),(276,1),(286,1),(367,1),(377,1),(382,1),(452,1)}
       326:{1,3}:{(271,1),(272,1),(378,1)}
       327:{2,3,4}:{(272,1),(273,1),(288,1),(379,1),(380,1),(505,1)}
       328:{3,5}:{(273,1),(274,1),(381,1)}
       329:{2,4,6}:{(274,1),(275,1),(290,1),(381,1),(382,1)}
       330:{2,5,7}:{(275,1),(276,1),(291,1),(382,1),(514,1)}
       331:{1,2,7}:{(277,1),(281,1),(383,1),(514,1)}
       332:{2,3,7}:{(277,1),(278,1),(282,1),(383,1),(384,1),(514,1)}
       333:{1,3,4,7}:{(278,1),(279,1),(283,1),(297,1),(370,1),(384,1),(385,1)}
       334:{1,4,5,7}:{(279,1),(280,1),(284,1),(298,1),(371,1),(385,1),(386,1),(465,1)}
       335:{1,5,6}:{(280,1),(299,1),(372,1),(386,1)}
       336:{1,3,6}:{(281,1),(282,1),(287,1),(383,1),(388,1)}
       337:{2,4,6}:{(282,1),(283,1),(288,1),(384,1),(388,1),(389,1),(466,1)}
       338:{1,3,5}:{(283,1),(284,1),(300,1),(375,1),(389,1)}
       339:{1,4,5,6}:{(284,1),(285,1),(290,1),(301,1),(376,1),(386,1),(390,1),(391,1),(468,1),(507,1),(532,1)}
       340:{1,5,7}:{(285,1),(286,1),(302,1),(377,1)}
       341:{1,4}:{(287,1),(288,1)}
       342:{2,4,5}:{(288,1),(289,1),(380,1),(389,1),(392,1),(393,1),(462,1)}
       343:{1,3,4,6}:{(289,1),(290,1),(303,1),(381,1),(390,1),(393,1),(394,1),(451,1),(463,1),(507,1),(537,1)}
       344:{1,4,7}:{(290,1),(291,1),(304,1),(382,1),(452,1)}
       345:{4,5,7}:{(292,1),(293,1),(294,1),(395,1),(546,1),(552,1)}
       346:{3,5,6}:{(293,1),(299,1),(395,1),(398,1)}
       347:{4,5,6}:{(294,1),(295,1),(395,1),(397,1)}
       348:{3,5,7}:{(295,1),(296,1),(302,1),(397,1)}
       349:{3,5,7}:{(297,1),(298,1),(300,1),(398,1)}
       350:{2,4,6}:{(298,1),(299,1),(386,1),(395,1),(398,1),(466,1)}
       351:{2,5,6,7}:{(299,1),(302,1),(387,1),(396,1),(399,1),(548,1)}
       352:{3,5,6}:{(300,1),(301,1),(303,1),(398,1),(400,1),(537,1)}
       353:{2,4,5,7}:{(301,1),(302,1),(304,1),(391,1),(397,1),(399,1),(400,1),(469,1),(538,1),(548,1),(552,1)}
       354:{3,4,7}:{(303,1),(304,1),(400,1),(552,1)}
       355:{1,3,6}:{(305,1),(306,1),(308,1),(401,1),(402,1),(493,1)}
       356:{2,4,6}:{(306,1),(307,1),(309,1),(401,1),(402,1),(403,1)}
       357:{3,5,6}:{(307,1),(310,1),(402,1),(403,1),(473,1)}
       358:{2,5,7}:{(308,1),(312,1),(316,1),(401,1)}
       359:{3,5,7}:{(309,1),(313,1),(317,1),(402,1),(406,1),(473,1)}
       360:{4,7}:{(310,1),(403,1)}
       361:{3,5,7}:{(311,1),(314,1),(319,1),(407,1),(408,1),(473,1)}
       362:{1,2,5}:{(312,1),(320,1),(409,1),(432,1),(488,1),(517,1)}
       363:{2,3,5}:{(312,1),(313,1),(321,1),(409,1),(410,1)}
       364:{3,4}:{(313,1),(410,1)}
       365:{4,5}:{(314,1),(412,1)}
       366:{3,5,6}:{(314,1),(315,1),(324,1),(412,1),(413,1)}
       367:{3,6,7}:{(315,1),(325,1),(413,1),(427,1)}
       368:{1,2,4,7}:{(316,1),(320,1),(331,1),(404,1),(414,1),(428,1),(476,1),(484,1)}
       369:{2,3,7}:{(316,1),(317,1),(321,1),(414,1)}
       370:{3,4,7}:{(317,1),(318,1),(322,1),(416,1),(427,1)}
       371:{2,4,5,7}:{(318,1),(319,1),(323,1),(334,1),(407,1),(416,1),(417,1),(429,1)}
       372:{2,5,6}:{(319,1),(335,1),(408,1),(417,1)}
       373:{1,3,6}:{(320,1),(321,1),(326,1),(409,1),(414,1),(419,1)}
       374:{2,3,4,6}:{(321,1),(322,1),(327,1),(337,1),(410,1),(415,1),(420,1),(421,1),(426,1),(472,1),(482,1),(486,1)}
       375:{3,5}:{(322,1),(323,1)}
       376:{2,4,5,6}:{(323,1),(324,1),(329,1),(339,1),(412,1),(417,1),(422,1),(423,1),(433,1),(474,1),(482,1),(518,1)}
       377:{2,5,7}:{(324,1),(325,1),(340,1),(413,1)}
       378:{2,3}:{(326,1),(424,1)}
       379:{1,3,4}:{(326,1),(327,1),(341,1),(424,1),(425,1)}
       380:{2,3,5}:{(327,1),(328,1),(342,1),(425,1),(426,1),(524,1)}
       381:{3,6}:{(328,1),(329,1),(427,1)}
       382:{2,4,7}:{(329,1),(330,1),(344,1),(427,1)}
       383:{1,3,7}:{(331,1),(332,1),(336,1),(428,1)}
       384:{2,4,7}:{(332,1),(333,1),(337,1),(428,1),(429,1)}
       385:{1,3,5,7}:{(333,1),(334,1),(338,1),(349,1),(416,1),(429,1),(430,1)}
       386:{1,4,6}:{(334,1),(335,1),(350,1),(417,1),(430,1),(493,1)}
       387:{1,5,6,7}:{(335,1),(340,1),(351,1),(418,1),(431,1),(542,1)}
       388:{1,4,6}:{(336,1),(337,1),(341,1),(428,1),(432,1),(493,1)}
       389:{2,5}:{(337,1),(338,1),(432,1)}
       390:{1,3,5,6}:{(338,1),(339,1),(343,1),(352,1),(422,1),(430,1),(433,1),(434,1)}
       391:{1,4,5,7}:{(339,1),(340,1),(344,1),(353,1),(423,1),(431,1),(434,1),(495,1),(526,1),(542,1)}
       392:{1,4,5}:{(341,1),(342,1),(425,1),(432,1),(435,1)}
       393:{2,4,6}:{(342,1),(343,1),(426,1),(433,1),(435,1),(436,1),(491,1)}
       394:{1,3,4,7}:{(343,1),(344,1),(354,1),(427,1),(434,1),(436,1),(483,1),(492,1),(526,1),(545,1)}
       395:{4,6}:{(345,1),(346,1)}
       396:{3,5,6,7}:{(346,1),(348,1),(351,1),(437,1),(438,1),(551,1)}
       397:{4,5,7}:{(347,1),(348,1),(437,1)}
       398:{3,6}:{(349,1),(350,1)}
       399:{2,4,6,7}:{(350,1),(351,1),(353,1),(431,1),(437,1),(438,1),(494,1)}
       400:{3,5,7}:{(352,1),(353,1),(354,1),(438,1),(545,1)}
       401:{2,6}:{(355,1),(358,1)}
       402:{3,6}:{(356,1),(359,1)}
       403:{4,6}:{(357,1),(360,1),(442,1)}
       404:{1,2,5,7}:{(358,1),(362,1),(368,1),(439,1),(443,1),(465,1),(509,1)}
       405:{2,3,5,7}:{(358,1),(359,1),(363,1),(369,1),(440,1),(443,1),(444,1),(498,1)}
       406:{3,4,7}:{(359,1),(360,1),(364,1),(441,1),(444,1)}
       407:{4,5,7}:{(360,1),(361,1),(365,1),(442,1),(446,1),(452,1)}
       408:{3,5,6}:{(361,1),(372,1),(446,1),(456,1)}
       409:{1,3,5}:{(362,1),(363,1),(373,1),(448,1),(449,1)}
       410:{2,4}:{(363,1),(364,1),(449,1)}
       411:{3,4,5}:{(364,1),(365,1),(375,1),(450,1),(451,1)}
       412:{4,6}:{(365,1),(366,1),(452,1)}
       413:{3,5,7}:{(366,1),(367,1),(377,1),(452,1)}
       414:{1,3,7}:{(368,1),(369,1),(373,1),(453,1)}
       415:{2,3,4,7}:{(369,1),(370,1),(374,1),(384,1),(444,1),(454,1),(455,1),(464,1),(508,1)}
       416:{3,5,7}:{(370,1),(371,1),(375,1),(456,1)}
       417:{2,4,6}:{(371,1),(372,1),(386,1),(446,1),(456,1),(466,1)}
       418:{2,5,6,7}:{(372,1),(377,1),(387,1),(447,1),(457,1),(533,1)}
       419:{2,3,6}:{(373,1),(378,1),(448,1),(453,1),(458,1),(537,1)}
       420:{1,3,4,6}:{(373,1),(374,1),(379,1),(388,1),(449,1),(454,1),(458,1),(459,1),(463,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       421:{2,3,5}:{(374,1),(375,1),(389,1),(450,1),(459,1),(498,1)}
       422:{3,5,6}:{(375,1),(376,1),(381,1),(451,1),(456,1),(461,1)}
       423:{2,4,5,7}:{(376,1),(377,1),(382,1),(391,1),(452,1),(457,1),(461,1),(469,1),(500,1),(508,1),(533,1)}
       424:{2,4}:{(378,1),(379,1),(462,1)}
       425:{1,3,5}:{(379,1),(380,1),(392,1),(462,1),(463,1)}
       426:{2,3,6}:{(380,1),(381,1),(393,1),(463,1),(464,1),(537,1)}
       427:{3,7}:{(381,1),(382,1)}
       428:{1,4,7}:{(383,1),(384,1),(388,1),(465,1)}
       429:{2,5,7}:{(384,1),(385,1),(389,1),(465,1),(466,1)}
       430:{1,3,6}:{(385,1),(386,1),(398,1),(456,1),(466,1)}
       431:{1,4,6,7}:{(386,1),(387,1),(391,1),(399,1),(457,1),(467,1),(515,1)}
       432:{1,5}:{(388,1),(389,1)}
       433:{2,5,6}:{(389,1),(390,1),(393,1),(466,1),(468,1),(469,1)}
       434:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(461,1),(467,1),(469,1)}
       435:{1,4,6}:{(392,1),(393,1),(463,1),(468,1),(470,1)}
       436:{2,4,7}:{(393,1),(394,1),(464,1),(469,1),(470,1),(514,1)}
       437:{4,6,7}:{(395,1),(396,1),(397,1),(552,1)}
       438:{3,6,7}:{(398,1),(399,1),(400,1)}
       439:{1,2,6}:{(401,1),(404,1),(471,1),(493,1),(527,1)}
       440:{2,3,6}:{(401,1),(402,1),(405,1),(471,1),(472,1)}
       441:{3,4,6}:{(402,1),(403,1),(406,1),(472,1),(473,1)}
       442:{4,5}:{(403,1),(473,1)}
       443:{1,3,5,7}:{(404,1),(405,1),(409,1),(414,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(405,1),(406,1),(410,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(406,1),(407,1),(411,1),(416,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(407,1),(408,1)}
       447:{3,5,6,7}:{(408,1),(413,1),(418,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(409,1),(419,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(409,1),(410,1),(480,1)}
       450:{2,4,5}:{(410,1),(411,1),(421,1),(481,1),(482,1)}
       451:{3,4,6}:{(411,1),(412,1),(422,1),(482,1),(483,1)}
       452:{4,7}:{(412,1),(413,1)}
       453:{2,3,7}:{(414,1),(419,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(414,1),(415,1),(420,1),(428,1),(476,1),(484,1),(485,1),(492,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(415,1),(416,1),(421,1),(429,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(416,1),(417,1)}
       457:{2,4,6,7}:{(417,1),(418,1),(423,1),(431,1),(479,1),(487,1),(494,1)}
       458:{2,4,6}:{(419,1),(420,1),(424,1),(480,1),(484,1),(488,1),(491,1),(527,1)}
       459:{1,3,5}:{(420,1),(421,1),(432,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(421,1),(422,1),(426,1),(433,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(422,1),(423,1),(427,1),(483,1),(487,1)}
       462:{2,5}:{(424,1),(425,1),(491,1)}
       463:{1,3,6}:{(425,1),(426,1),(435,1),(491,1),(492,1)}
       464:{2,3,7}:{(426,1),(427,1),(436,1),(492,1),(545,1)}
       465:{1,5,7}:{(428,1),(429,1),(432,1),(493,1)}
       466:{2,6}:{(429,1),(430,1),(493,1)}
       467:{1,3,6,7}:{(430,1),(431,1),(434,1),(438,1),(487,1),(494,1)}
       468:{1,5,6}:{(432,1),(433,1),(435,1),(493,1),(495,1)}
       469:{2,5,7}:{(433,1),(434,1),(436,1),(494,1),(495,1)}
       470:{1,4,7}:{(435,1),(436,1),(492,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(514,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(465,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(466,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(463,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(464,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{2,6}:{(462,1),(463,1),(514,1)}
       492:{1,3,7}:{(463,1),(464,1),(470,1),(514,1)}
       493:{1,6}:{(465,1),(466,1)}
       494:{2,6,7}:{(466,1),(467,1),(469,1),(515,1)}
       495:{1,5,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(493,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(494,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(491,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(492,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{2,7}:{(491,1),(492,1)}
       515:{1,6,7}:{(493,1),(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(515,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(514,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 888 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(27,1),(35,1),(68,1),(78,1),(84,1),(86,1),(121,1),(128,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(15,1),(23,1),(49,1),(59,1),(61,1),(98,1),(105,1),(111,1),(114,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(55,1),(104,1),(150,1),(158,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(128,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(127,1),(135,1),(185,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(68,1),(120,1)}
         7:{1,2,4,6,7}:{(3,1),(15,1),(16,1),(45,1),(49,1),(50,1),(105,1),(159,1),(160,1),(161,1),(164,1),(205,1),(209,1),(229,1),(241,1)}
         8:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(55,1),(103,1),(104,1)}
         9:{2,3,6,7}:{(3,1),(15,1),(20,1),(61,1),(100,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(158,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(49,1),(97,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(55,1),(93,1),(150,1)}
        15:{1,3,6,7}:{(7,1),(9,1),(27,1),(29,1),(73,1),(130,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(10,1),(29,1),(30,1),(66,1),(135,1),(185,1),(189,1),(222,1),(237,1)}
        17:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(13,1),(33,1),(34,1),(35,1)}
        19:{2,3,4,6,7}:{(9,1),(28,1),(36,1),(38,1),(80,1),(83,1),(122,1),(128,1),(137,1),(175,1),(182,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(29,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(72,1),(77,1),(87,1),(127,1),(132,1),(139,1),(188,1),(190,1),(224,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(34,1),(41,1),(44,1),(88,1),(120,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(100,1),(148,1),(164,1),(203,1)}
        28:{1,3,4,6,7}:{(15,1),(19,1),(45,1),(47,1),(49,1),(93,1),(95,1),(98,1),(148,1),(152,1),(159,1),(198,1),(205,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(20,1),(46,1),(48,1),(49,1)}
        30:{1,2,5,6}:{(16,1),(21,1),(48,1),(50,1),(90,1),(116,1),(158,1),(161,1),(171,1),(206,1),(207,1),(231,1)}
        31:{1,2,4,5,7}:{(16,1),(22,1),(49,1),(50,1),(51,1),(65,1),(91,1),(97,1),(99,1),(115,1),(157,1),(158,1),(160,1),(199,1),(207,1),(209,1),(210,1),(232,1),(234,1),(241,1)}
        32:{2,5,6,7}:{(17,1),(21,1),(52,1),(104,1),(164,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(23,1),(52,1),(53,1)}
        34:{2,4,5,7}:{(18,1),(25,1),(53,1),(55,1),(104,1),(209,1)}
        35:{3,4,6,7}:{(18,1),(26,1),(55,1)}
        36:{2,3,5,7}:{(19,1),(47,1),(56,1),(57,1),(109,1),(158,1),(165,1),(204,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(48,1),(58,1),(61,1),(100,1),(109,1),(158,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(49,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(53,1),(60,1),(63,1),(97,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(99,1),(104,1),(115,1),(158,1),(162,1),(166,1),(209,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(55,1),(150,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1),(118,1),(128,1),(180,1),(218,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(66,1),(67,1),(68,1),(119,1),(189,1),(224,1)}
        47:{1,3,5,7}:{(28,1),(36,1),(66,1),(69,1),(70,1),(119,1),(127,1),(185,1),(222,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(37,1),(67,1),(71,1),(73,1),(127,1),(130,1),(185,1),(223,1)}
        49:{1,4,7}:{(29,1),(38,1),(68,1),(71,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(39,1),(71,1),(73,1),(89,1),(118,1),(128,1),(145,1),(184,1),(193,1),(218,1),(238,1)}
        51:{1,3,5,7}:{(31,1),(40,1),(72,1),(73,1),(74,1),(119,1),(127,1),(187,1),(223,1),(224,1),(225,1),(239,1),(244,1)}
        52:{2,4,6,7}:{(32,1),(33,1),(39,1),(75,1),(76,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(41,1),(75,1),(77,1),(135,1),(188,1)}
        54:{1,3,4,6,7}:{(33,1),(35,1),(42,1),(76,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        55:{3,5,7}:{(34,1),(35,1),(44,1),(224,1)}
        56:{2,3,5,6}:{(36,1),(69,1),(80,1),(138,1),(175,1),(183,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(70,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(71,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(75,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(224,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(77,1),(85,1),(88,1),(127,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(129,1),(135,1),(185,1),(188,1),(190,1)}
        66:{2,5,7}:{(45,1),(47,1),(90,1),(158,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(90,1),(92,1),(100,1),(148,1),(150,1),(158,1),(171,1),(211,1),(212,1)}
        68:{2,4,7}:{(46,1),(49,1),(92,1),(93,1)}
        69:{1,3,5,6}:{(47,1),(56,1),(90,1),(95,1),(148,1),(198,1),(206,1)}
        70:{1,4,5,7}:{(47,1),(49,1),(57,1),(91,1),(95,1),(97,1)}
        71:{1,4,6}:{(48,1),(49,1),(58,1),(92,1),(97,1),(234,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(59,1),(93,1),(98,1),(99,1),(234,1),(235,1),(243,1)}
        73:{1,3,6}:{(50,1),(51,1),(61,1),(100,1),(148,1),(212,1),(242,1)}
        74:{2,3,5,7}:{(51,1),(99,1),(100,1),(101,1),(115,1),(158,1),(169,1),(199,1),(203,1),(211,1),(233,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(60,1),(102,1),(104,1),(162,1)}
        76:{3,6,7}:{(52,1),(61,1),(102,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(55,1),(63,1),(102,1),(104,1)}
        78:{2,4,6,7}:{(54,1),(64,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{2,3,5,6,7}:{(56,1),(94,1),(106,1),(165,1),(195,1),(204,1)}
        80:{2,4,6}:{(56,1),(57,1),(95,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(97,1),(109,1),(158,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(99,1),(110,1),(111,1),(162,1),(203,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(102,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(104,1),(116,1),(158,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{2,5,6}:{(66,1),(69,1),(118,1),(218,1)}
        91:{2,4,5,7}:{(66,1),(68,1),(70,1),(118,1),(119,1),(120,1)}
        92:{2,4,6}:{(67,1),(68,1),(71,1),(120,1),(121,1),(226,1)}
        93:{3,4,7}:{(68,1),(119,1),(121,1),(224,1)}
        94:{1,3,5,6,7}:{(69,1),(79,1),(117,1),(123,1),(173,1),(181,1),(215,1),(222,1)}
        95:{1,4,6}:{(69,1),(70,1),(80,1),(118,1)}
        96:{1,3,4,5,7}:{(70,1),(72,1),(81,1),(119,1),(125,1),(126,1),(127,1),(176,1),(177,1),(181,1),(213,1),(219,1),(236,1),(239,1),(244,1)}
        97:{1,4,5}:{(71,1),(82,1),(120,1),(127,1),(185,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(73,1),(83,1),(121,1),(127,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(128,1),(129,1),(226,1),(240,1)}
       100:{2,3,6}:{(73,1),(74,1),(128,1),(130,1),(145,1),(218,1)}
       101:{1,3,5,7}:{(74,1),(129,1),(130,1),(131,1),(185,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(76,1),(85,1),(132,1)}
       103:{2,3,6,7}:{(76,1),(78,1),(86,1),(133,1),(134,1),(224,1)}
       104:{2,5,7}:{(77,1),(78,1),(88,1),(135,1)}
       105:{1,4,6,7}:{(78,1),(89,1),(134,1),(135,1),(188,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(123,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(124,1),(136,1),(138,1),(183,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(128,1),(140,1),(141,1),(143,1),(221,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(129,1),(141,1),(142,1),(187,1),(188,1),(224,1)}
       112:{3,4,6}:{(85,1),(132,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(133,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(135,1),(185,1)}
       117:{2,5,6,7}:{(90,1),(94,1),(146,1),(204,1),(229,1)}
       118:{2,4,6}:{(90,1),(91,1),(95,1),(148,1)}
       119:{3,5,7}:{(91,1),(93,1),(148,1),(150,1)}
       120:{2,4,5}:{(92,1),(97,1),(150,1),(158,1)}
       121:{3,4,6}:{(92,1),(93,1),(148,1),(150,1),(212,1),(235,1)}
       122:{2,3,4,7}:{(93,1),(99,1),(149,1),(151,1),(152,1),(169,1),(227,1),(243,1)}
       123:{1,4,6,7}:{(94,1),(95,1),(106,1),(146,1),(153,1)}
       124:{1,4,5,6}:{(95,1),(97,1),(107,1),(147,1),(153,1),(155,1),(206,1),(230,1)}
       125:{1,3,4,6}:{(95,1),(96,1),(108,1),(148,1),(155,1),(156,1),(196,1),(198,1),(230,1),(242,1)}
       126:{2,4,5,7}:{(96,1),(99,1),(149,1),(156,1),(157,1),(158,1),(199,1),(200,1),(204,1),(227,1),(232,1),(241,1)}
       127:{1,3,5}:{(97,1),(98,1),(109,1),(150,1),(158,1)}
       128:{2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1)}
       129:{1,4,7}:{(99,1),(101,1),(159,1),(234,1)}
       130:{1,3,6}:{(100,1),(101,1),(159,1),(161,1)}
       131:{1,2,5,7}:{(101,1),(115,1),(160,1),(161,1),(199,1),(207,1)}
       132:{3,4,7}:{(102,1),(112,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(113,1),(162,1),(163,1)}
       134:{1,3,6,7}:{(103,1),(105,1),(114,1),(163,1),(164,1)}
       135:{1,5,7}:{(104,1),(105,1),(116,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(153,1),(165,1),(204,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(158,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(159,1),(167,1),(168,1),(170,1),(208,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(162,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(163,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(123,1),(172,1),(173,1)}
       147:{2,4,5,6}:{(118,1),(120,1),(124,1),(172,1),(174,1),(183,1),(216,1)}
       148:{3,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(122,1),(126,1),(175,1),(176,1),(178,1),(239,1),(244,1)}
       150:{3,5}:{(120,1),(121,1)}
       151:{2,3,4,6}:{(121,1),(122,1),(128,1),(175,1),(178,1),(179,1),(192,1),(216,1),(226,1)}
       152:{1,3,4,7}:{(122,1),(129,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(136,1),(172,1),(181,1),(222,1),(236,1)}
       154:{1,3,4,6,7}:{(123,1),(125,1),(137,1),(173,1),(181,1),(182,1),(213,1),(215,1),(236,1),(244,1)}
       155:{1,3,5,6}:{(124,1),(125,1),(127,1),(138,1),(174,1),(181,1),(183,1)}
       156:{2,4,6}:{(125,1),(126,1),(175,1),(183,1),(184,1),(218,1)}
       157:{1,4,5,7}:{(126,1),(129,1),(176,1),(184,1),(185,1),(219,1),(222,1),(236,1)}
       158:{2,5}:{(127,1),(128,1),(185,1)}
       159:{1,4,6}:{(128,1),(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(129,1),(131,1),(142,1),(180,1),(186,1),(187,1)}
       161:{1,2,6}:{(130,1),(131,1),(145,1),(218,1)}
       162:{2,4,7}:{(132,1),(133,1),(143,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(144,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(134,1),(145,1),(189,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(185,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(187,1),(192,1),(224,1)}
       170:{1,4,6}:{(143,1),(144,1),(188,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(189,1),(191,1),(193,1)}
       172:{2,4,5,7}:{(146,1),(147,1),(153,1),(194,1),(204,1),(227,1)}
       173:{3,6,7}:{(146,1),(148,1),(194,1)}
       174:{3,5,6}:{(147,1),(148,1),(150,1),(194,1),(196,1)}
       175:{2,3,6}:{(148,1),(149,1),(156,1),(198,1),(242,1)}
       176:{1,3,5,7}:{(149,1),(152,1),(157,1),(198,1),(199,1),(201,1)}
       177:{3,4,5}:{(150,1),(196,1),(200,1),(235,1)}
       178:{2,3,5}:{(150,1),(151,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,6}:{(151,1),(152,1),(159,1),(198,1),(201,1),(202,1),(208,1),(230,1),(234,1),(242,1),(243,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1),(204,1)}
       182:{2,4,6,7}:{(154,1),(156,1),(195,1),(204,1),(205,1),(227,1),(229,1),(241,1)}
       183:{2,5,6}:{(155,1),(156,1),(158,1),(204,1),(206,1)}
       184:{1,4,6}:{(156,1),(157,1),(198,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(161,1),(168,1),(202,1),(207,1),(208,1),(234,1)}
       187:{1,3,7}:{(160,1),(169,1),(203,1),(208,1)}
       188:{1,4,7}:{(162,1),(163,1),(170,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(171,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(209,1),(210,1),(212,1)}
       194:{3,5,7}:{(172,1),(173,1),(174,1),(213,1)}
       195:{2,3,6,7}:{(173,1),(175,1),(182,1),(214,1),(215,1),(244,1)}
       196:{3,4,6}:{(174,1),(177,1),(213,1),(216,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(183,1),(214,1),(216,1),(217,1)}
       198:{1,3,6}:{(175,1),(176,1),(184,1),(218,1)}
       199:{2,5,7}:{(176,1),(180,1),(218,1),(220,1)}
       200:{2,4,5}:{(177,1),(178,1),(216,1),(219,1),(226,1)}
       201:{1,3,5}:{(178,1),(179,1),(185,1),(219,1),(220,1),(239,1)}
       202:{2,4,6}:{(179,1),(180,1),(218,1),(220,1),(221,1),(240,1)}
       203:{2,3,7}:{(180,1),(187,1),(221,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(222,1)}
       205:{1,4,6,7}:{(182,1),(184,1),(215,1),(222,1),(236,1)}
       206:{1,5,6}:{(183,1),(184,1),(185,1),(222,1)}
       207:{1,2,5}:{(185,1),(186,1),(191,1),(220,1),(223,1)}
       208:{1,3,6}:{(186,1),(187,1),(192,1),(221,1),(223,1)}
       209:{2,4,7}:{(188,1),(189,1),(193,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(223,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(224,1),(225,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,3,5,7}:{(194,1),(195,1),(197,1),(204,1),(227,1),(228,1)}
       215:{1,3,6,7}:{(195,1),(198,1),(205,1),(228,1),(229,1)}
       216:{2,4,6}:{(196,1),(197,1),(200,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,6}:{(198,1),(199,1)}
       219:{1,4,5}:{(200,1),(201,1),(230,1),(232,1),(234,1)}
       220:{2,5}:{(201,1),(202,1)}
       221:{2,3,6}:{(202,1),(203,1),(208,1),(233,1),(242,1)}
       222:{1,5,7}:{(204,1),(205,1),(206,1)}
       223:{1,3,5}:{(207,1),(208,1),(211,1),(233,1),(234,1)}
       224:{3,7}:{(209,1),(212,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,3,5,7}:{(214,1),(215,1),(217,1),(222,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(215,1),(218,1),(237,1)}
       230:{1,4,6}:{(216,1),(217,1),(219,1),(236,1),(238,1)}
       231:{2,5,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       232:{2,4,5}:{(219,1),(220,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(220,1),(221,1),(223,1),(239,1),(240,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 889 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(29,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(42,1),(83,1),(97,1),(98,1),(189,1),(276,1),(285,1),(305,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(55,1),(118,1),(154,1),(231,1),(328,1),(347,1)}
         3:{3,5,6}:{(0,1),(12,1),(14,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(14,1),(15,1),(52,1),(56,1),(135,1),(136,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(12,1),(17,1),(243,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(342,1),(363,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(55,1),(65,1),(73,1),(125,1),(132,1),(140,1),(146,1),(151,1),(254,1),(259,1),(340,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(56,1),(126,1),(143,1),(245,1),(334,1),(343,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(89,1),(185,1),(204,1),(271,1),(272,1),(297,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(287,1),(400,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(87,1),(90,1),(167,1),(184,1),(279,1)}
        12:{3,4,6}:{(3,1),(5,1),(29,1),(30,1),(471,1)}
        13:{2,3,5,6}:{(3,1),(6,1),(26,1),(29,1),(31,1),(32,1),(42,1),(83,1),(108,1)}
        14:{3,5,7}:{(3,1),(4,1),(30,1),(33,1),(277,1)}
        15:{2,4,6,7}:{(4,1),(28,1),(33,1),(34,1),(88,1),(96,1),(393,1)}
        16:{1,3,4,5}:{(5,1),(25,1),(35,1),(37,1),(76,1),(99,1),(105,1),(161,1),(195,1),(268,1),(287,1)}
        17:{2,4,5}:{(5,1),(6,1),(29,1),(37,1),(189,1)}
        18:{3,4,5,7}:{(5,1),(30,1),(38,1),(39,1),(92,1),(302,1),(389,1),(412,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(313,1),(317,1),(395,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(398,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(188,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(90,1),(104,1),(175,1),(182,1),(197,1),(202,1),(396,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(132,1),(234,1),(350,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(133,1),(221,1),(222,1),(237,1),(352,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(16,1),(45,1),(49,1),(50,1),(55,1),(118,1),(125,1),(132,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(342,1),(446,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(14,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(15,1),(48,1),(53,1),(54,1),(131,1),(347,1)}
        29:{2,4,6}:{(12,1),(13,1),(17,1),(55,1),(56,1)}
        30:{3,4,7}:{(12,1),(14,1),(56,1),(440,1)}
        31:{1,3,5,6}:{(13,1),(19,1),(51,1),(55,1),(58,1),(59,1),(73,1),(125,1),(132,1),(154,1),(260,1)}
        32:{2,3,5,7}:{(13,1),(14,1),(52,1),(56,1),(59,1),(60,1),(126,1),(135,1)}
        33:{3,6,7}:{(14,1),(15,1),(438,1)}
        34:{2,5,6,7}:{(15,1),(54,1),(61,1),(135,1),(336,1),(442,1)}
        35:{2,4,5}:{(16,1),(49,1),(62,1),(63,1),(144,1),(250,1),(342,1)}
        36:{1,2,4,6}:{(21,1),(64,1),(65,1),(66,1),(142,1),(146,1),(148,1),(226,1),(241,1),(254,1),(340,1)}
        37:{1,4,5}:{(17,1),(19,1),(55,1),(67,1),(146,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(68,1),(69,1),(135,1),(245,1),(363,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(444,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(446,1)}
        43:{2,3,6}:{(21,1),(65,1),(71,1),(75,1),(132,1),(242,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(228,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(83,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(182,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(88,1),(173,1),(297,1)}
        49:{2,4,6}:{(25,1),(26,1),(35,1),(83,1),(84,1),(85,1),(174,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(30,1),(78,1),(85,1),(90,1),(167,1),(175,1),(182,1),(277,1)}
        51:{1,5,6}:{(26,1),(84,1),(87,1),(395,1),(483,1)}
        52:{2,5,7}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(33,1),(81,1),(88,1),(400,1)}
        54:{1,5,6,7}:{(28,1),(34,1),(82,1),(184,1),(279,1),(402,1)}
        55:{1,4,6}:{(29,1),(31,1),(37,1),(89,1),(90,1),(318,1)}
        56:{2,4,7}:{(29,1),(30,1),(32,1),(90,1)}
        57:{3,4,6,7}:{(30,1),(33,1),(39,1),(91,1),(92,1),(96,1)}
        58:{2,5,6}:{(31,1),(40,1),(89,1),(94,1),(112,1),(174,1)}
        59:{1,3,5,7}:{(31,1),(32,1),(87,1),(90,1),(94,1),(95,1),(175,1),(182,1),(184,1),(295,1)}
        60:{2,3,6,7}:{(32,1),(33,1),(42,1),(88,1),(91,1),(95,1)}
        61:{3,5,6,7}:{(33,1),(34,1),(92,1),(96,1),(391,1),(479,1)}
        62:{2,3,5}:{(35,1),(83,1),(97,1),(99,1),(105,1),(268,1)}
        63:{1,4,5}:{(35,1),(84,1),(99,1),(308,1),(395,1)}
        64:{1,2,5}:{(36,1),(40,1),(101,1),(191,1),(313,1),(395,1)}
        65:{1,3,6}:{(36,1),(43,1),(98,1),(101,1),(104,1),(299,1)}
        66:{1,2,4,7}:{(36,1),(44,1),(102,1),(104,1),(192,1),(197,1),(284,1),(396,1)}
        67:{2,4,5}:{(37,1),(40,1),(89,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(90,1),(106,1),(107,1),(184,1),(197,1),(313,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(92,1),(108,1),(109,1),(412,1)}
        71:{2,3,5}:{(40,1),(43,1),(101,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(483,1)}
        74:{2,3,4,6}:{(43,1),(103,1),(110,1),(113,1),(114,1),(181,1),(205,1),(207,1),(209,1),(285,1),(300,1),(409,1)}
        75:{2,3,7}:{(43,1),(44,1),(104,1),(182,1)}
        76:{3,4,5}:{(45,1),(115,1),(234,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(352,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(125,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(126,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(350,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(237,1),(354,1)}
        83:{2,3,6}:{(49,1),(62,1),(125,1),(126,1),(132,1),(218,1)}
        84:{1,4,6}:{(49,1),(51,1),(63,1),(125,1),(128,1)}
        85:{2,4,7}:{(49,1),(50,1),(52,1),(126,1),(128,1),(228,1)}
        86:{1,2,5,6}:{(51,1),(58,1),(64,1),(121,1),(127,1),(129,1),(130,1),(148,1),(226,1),(247,1),(321,1),(342,1),(423,1),(443,1),(446,1),(503,1)}
        87:{1,5,7}:{(51,1),(52,1),(128,1),(131,1)}
        88:{2,6,7}:{(52,1),(53,1),(131,1),(446,1)}
        89:{2,4,6}:{(55,1),(58,1),(67,1),(132,1),(133,1)}
        90:{1,4,7}:{(55,1),(56,1),(59,1),(133,1),(352,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(60,1),(69,1),(134,1),(135,1)}
        92:{3,5,7}:{(57,1),(70,1),(135,1),(136,1)}
        93:{2,3,5,6}:{(58,1),(71,1),(129,1),(132,1),(137,1),(138,1),(157,1),(227,1),(234,1),(260,1),(263,1),(342,1),(350,1),(354,1),(420,1),(446,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
        94:{2,5,7}:{(58,1),(59,1),(133,1),(139,1),(228,1)}
        95:{1,3,6,7}:{(59,1),(60,1),(73,1),(131,1),(134,1),(139,1),(236,1)}
        96:{4,6,7}:{(61,1),(136,1),(440,1),(509,1)}
        97:{2,3,4}:{(62,1),(140,1),(151,1),(250,1),(325,1),(355,1)}
        98:{2,3,6}:{(65,1),(141,1),(142,1),(143,1),(355,1),(358,1)}
        99:{1,3,5}:{(62,1),(63,1),(125,1),(140,1),(144,1)}
       100:{1,2,4,5}:{(63,1),(64,1),(67,1),(127,1),(144,1),(145,1),(146,1),(212,1),(231,1),(241,1),(244,1),(250,1),(321,1),(342,1),(365,1),(421,1),(451,1),(491,1)}
       101:{1,3,5}:{(64,1),(65,1),(71,1),(141,1),(146,1)}
       102:{1,2,5,7}:{(64,1),(66,1),(72,1),(147,1),(148,1),(248,1),(444,1)}
       103:{1,3,4,6}:{(65,1),(74,1),(142,1),(146,1),(149,1),(150,1),(243,1),(252,1),(254,1),(256,1),(340,1),(356,1),(358,1),(360,1),(452,1)}
       104:{1,3,7}:{(65,1),(66,1),(75,1),(143,1)}
       105:{3,5}:{(67,1),(132,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(133,1),(152,1),(153,1),(156,1),(237,1),(263,1),(352,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(135,1),(154,1),(363,1)}
       109:{4,5,6}:{(70,1),(136,1),(456,1),(509,1)}
       110:{2,4}:{(71,1),(146,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(147,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(149,1),(155,1),(234,1),(263,1),(342,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(150,1),(156,1),(159,1),(235,1),(261,1),(343,1),(453,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(293,1),(405,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(97,1),(160,1),(164,1),(165,1),(181,1),(267,1),(285,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(174,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(87,1),(167,1),(171,1),(172,1),(175,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(88,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(295,1),(404,1)}
       125:{1,3,6}:{(83,1),(84,1),(99,1),(174,1),(175,1)}
       126:{2,3,7}:{(83,1),(85,1),(175,1),(182,1),(277,1)}
       127:{1,2,4,6}:{(84,1),(86,1),(89,1),(100,1),(166,1),(174,1),(176,1),(177,1),(178,1),(285,1),(303,1),(415,1),(486,1),(515,1)}
       128:{1,4,7}:{(84,1),(85,1),(87,1),(175,1)}
       129:{1,3,5,6}:{(86,1),(93,1),(101,1),(170,1),(176,1),(178,1),(179,1),(198,1),(283,1),(287,1),(313,1),(374,1),(395,1),(400,1),(402,1),(464,1),(483,1),(520,1)}
       130:{1,2,5,7}:{(86,1),(87,1),(94,1),(171,1),(177,1),(179,1),(180,1),(284,1),(306,1),(398,1),(482,1),(525,1)}
       131:{1,6,7}:{(87,1),(88,1),(483,1)}
       132:{3,6}:{(89,1),(105,1),(182,1)}
       133:{2,4,7}:{(89,1),(90,1),(94,1),(182,1)}
       134:{1,4,6,7}:{(90,1),(91,1),(95,1),(107,1),(183,1),(184,1)}
       135:{2,5,7}:{(91,1),(92,1),(108,1),(184,1)}
       136:{4,5,7}:{(92,1),(96,1),(109,1)}
       137:{2,4,6}:{(93,1),(110,1),(178,1),(181,1),(185,1),(186,1),(318,1),(460,1),(551,1)}
       138:{2,3,5,7}:{(93,1),(94,1),(179,1),(182,1),(186,1),(187,1),(286,1),(293,1),(295,1),(298,1),(398,1),(525,1),(540,1),(550,1)}
       139:{2,6,7}:{(94,1),(95,1),(112,1)}
       140:{1,3,4}:{(97,1),(99,1),(188,1),(299,1),(308,1)}
       141:{2,3,5}:{(98,1),(101,1),(189,1),(191,1),(301,1)}
       142:{2,4,6}:{(98,1),(103,1),(189,1),(191,1),(192,1),(307,1),(407,1),(486,1)}
       143:{2,3,7}:{(98,1),(104,1),(192,1),(410,1)}
       144:{2,5}:{(99,1),(174,1),(188,1)}
       145:{1,3,5}:{(100,1),(105,1),(176,1),(194,1),(195,1),(268,1),(299,1),(301,1),(513,1)}
       146:{1,4}:{(101,1),(110,1),(189,1)}
       147:{1,3,5,7}:{(101,1),(102,1),(104,1),(111,1),(190,1),(197,1),(198,1),(313,1)}
       148:{1,2,6}:{(102,1),(112,1),(198,1),(307,1),(483,1)}
       149:{1,3,5}:{(103,1),(113,1),(191,1),(196,1),(301,1),(313,1),(395,1),(412,1)}
       150:{1,3,4,7}:{(103,1),(104,1),(114,1),(192,1),(197,1),(200,1),(302,1),(311,1),(396,1),(410,1),(487,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(182,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(184,1),(204,1),(313,1)}
       155:{2,4,5}:{(110,1),(113,1),(196,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(197,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(198,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(199,1),(205,1),(208,1),(209,1),(292,1),(320,1),(397,1),(409,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(200,1),(206,1),(209,1),(293,1),(398,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(234,1),(342,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(350,1),(450,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(140,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(340,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(126,1),(211,1),(217,1),(235,1),(343,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(129,1),(141,1),(218,1),(223,1),(224,1),(227,1),(246,1),(247,1),(322,1),(333,1),(342,1),(358,1),(363,1),(426,1),(430,1),(438,1),(442,1),(446,1),(455,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(228,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(131,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(352,1),(450,1)}
       174:{2,6}:{(125,1),(144,1),(228,1)}
       175:{1,3,7}:{(125,1),(126,1),(128,1),(228,1)}
       176:{1,3,6}:{(127,1),(132,1),(145,1),(218,1),(227,1),(230,1),(358,1),(529,1)}
       177:{1,2,4,7}:{(127,1),(128,1),(130,1),(133,1),(219,1),(228,1),(230,1),(232,1),(343,1),(361,1),(458,1),(511,1),(532,1)}
       178:{1,4,6}:{(129,1),(137,1),(146,1),(223,1),(231,1),(232,1),(421,1)}
       179:{1,3,5,7}:{(129,1),(130,1),(138,1),(224,1),(230,1),(232,1),(233,1),(341,1),(348,1),(444,1)}
       180:{1,2,6,7}:{(130,1),(131,1),(139,1),(148,1),(225,1),(233,1),(364,1),(423,1),(446,1),(510,1),(539,1)}
       181:{3,4,6}:{(132,1),(137,1),(151,1),(234,1),(235,1),(350,1),(490,1),(529,1)}
       182:{3,7}:{(132,1),(133,1)}
       183:{2,4,6,7}:{(133,1),(134,1),(139,1),(153,1),(236,1),(237,1),(352,1)}
       184:{1,5,7}:{(134,1),(135,1),(154,1),(237,1)}
       185:{2,4,5}:{(137,1),(231,1),(234,1),(263,1),(342,1),(372,1),(534,1),(548,1)}
       186:{2,4,7}:{(137,1),(138,1),(232,1),(235,1),(352,1),(552,1)}
       187:{2,3,6,7}:{(138,1),(139,1),(157,1),(233,1),(236,1),(240,1),(350,1),(446,1),(493,1),(539,1),(546,1)}
       188:{2,4}:{(140,1),(144,1),(242,1)}
       189:{2,4}:{(141,1),(146,1),(243,1)}
       190:{2,3,5,7}:{(141,1),(143,1),(147,1),(245,1),(246,1),(248,1),(359,1),(363,1)}
       191:{2,5}:{(142,1),(149,1)}
       192:{2,4,7}:{(142,1),(143,1),(150,1),(248,1),(511,1)}
       193:{1,2,5}:{(144,1),(226,1),(241,1),(249,1),(451,1)}
       194:{2,3,5}:{(144,1),(145,1),(227,1),(242,1),(249,1),(250,1),(342,1),(355,1),(451,1)}
       195:{1,3,4}:{(145,1),(146,1),(151,1),(243,1),(250,1),(325,1),(421,1),(490,1)}
       196:{1,4,5}:{(146,1),(149,1),(155,1),(244,1),(252,1),(456,1)}
       197:{1,4,7}:{(146,1),(147,1),(156,1),(245,1),(254,1)}
       198:{1,3,6}:{(147,1),(148,1),(157,1),(246,1),(254,1)}
       199:{1,3,5,6}:{(149,1),(158,1),(247,1),(252,1),(255,1),(256,1),(358,1),(369,1),(443,1),(452,1),(455,1)}
       200:{1,3,5,7}:{(149,1),(150,1),(159,1),(248,1),(253,1),(256,1),(359,1),(444,1)}
       201:{3,4,5}:{(151,1),(155,1),(234,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(352,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(237,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(252,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(253,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(254,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(255,1),(261,1),(264,1),(349,1),(373,1),(445,1),(453,1)}
       209:{2,3,6}:{(159,1),(256,1),(262,1),(350,1),(446,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(395,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(293,1),(398,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(188,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(175,1),(266,1),(275,1),(277,1),(380,1),(385,1),(396,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(178,1),(189,1),(276,1),(280,1),(281,1),(376,1),(471,1),(489,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(179,1),(277,1),(281,1),(282,1),(286,1),(306,1),(389,1),(391,1),(394,1),(398,1),(410,1),(488,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,6}:{(174,1),(193,1),(283,1),(284,1),(486,1)}
       227:{2,3,6}:{(174,1),(176,1),(194,1),(283,1),(285,1),(286,1),(486,1)}
       228:{2,7}:{(174,1),(175,1)}
       229:{1,3,4,6}:{(176,1),(178,1),(181,1),(195,1),(276,1),(285,1),(287,1),(288,1),(400,1)}
       230:{1,3,7}:{(176,1),(177,1),(182,1),(277,1),(286,1),(410,1),(540,1)}
       231:{1,4,5}:{(178,1),(185,1),(280,1),(287,1),(313,1),(395,1),(520,1)}
       232:{1,4,7}:{(178,1),(179,1),(186,1),(281,1)}
       233:{1,3,6,7}:{(179,1),(180,1),(187,1),(198,1),(282,1),(291,1),(400,1),(464,1),(483,1)}
       234:{3,5}:{(181,1),(185,1)}
       235:{3,4,7}:{(181,1),(182,1),(186,1),(293,1),(540,1)}
       236:{3,6,7}:{(182,1),(183,1),(203,1),(295,1)}
       237:{2,5,7}:{(183,1),(184,1),(204,1),(295,1)}
       238:{2,4,5,6}:{(185,1),(205,1),(289,1),(292,1),(296,1),(297,1),(320,1),(397,1),(419,1),(515,1),(544,1),(551,1)}
       239:{2,4,5,7}:{(185,1),(186,1),(290,1),(293,1),(297,1),(298,1),(398,1),(405,1)}
       240:{2,4,6,7}:{(186,1),(187,1),(207,1),(291,1),(294,1),(297,1),(298,1),(517,1)}
       241:{1,2,4}:{(188,1),(193,1),(299,1),(308,1),(407,1)}
       242:{2,3}:{(188,1),(299,1)}
       243:{3,4}:{(189,1),(301,1)}
       244:{2,4,5}:{(189,1),(191,1),(196,1),(301,1),(303,1)}
       245:{2,4,7}:{(189,1),(190,1),(197,1),(302,1),(305,1)}
       246:{2,3,6}:{(190,1),(198,1),(305,1),(307,1),(411,1)}
       247:{2,5,6}:{(191,1),(199,1),(303,1),(306,1),(307,1),(486,1)}
       248:{2,5,7}:{(191,1),(192,1),(200,1),(307,1)}
       249:{1,3,5}:{(193,1),(194,1),(283,1),(299,1),(308,1),(395,1)}
       250:{2,4}:{(194,1),(195,1),(308,1)}
       251:{1,3,4,5}:{(195,1),(196,1),(201,1),(287,1),(301,1),(309,1),(310,1),(379,1),(408,1),(462,1),(513,1)}
       252:{1,4,6}:{(196,1),(199,1),(205,1),(303,1),(311,1),(489,1)}
       253:{1,4,5,7}:{(196,1),(197,1),(200,1),(206,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       254:{1,4,6}:{(197,1),(198,1),(207,1),(305,1),(313,1)}
       255:{1,3,5,7}:{(199,1),(208,1),(306,1),(311,1),(314,1),(410,1),(417,1),(482,1),(487,1),(488,1)}
       256:{1,3,6}:{(200,1),(209,1),(307,1),(312,1),(411,1),(483,1)}
       257:{3,4,6}:{(201,1),(205,1),(292,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(293,1),(315,1),(316,1),(317,1),(405,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(295,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(311,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(312,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(313,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(314,1),(319,1),(403,1),(484,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(444,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(350,1),(446,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(450,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(241,1),(321,1),(329,1),(330,1),(340,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(242,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(228,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(243,1),(325,1),(333,1),(334,1),(358,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(231,1),(333,1),(342,1),(363,1),(456,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(232,1),(334,1),(440,1),(512,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(233,1),(246,1),(335,1),(339,1),(364,1),(426,1),(438,1),(446,1),(454,1)}
       283:{1,3,6}:{(226,1),(227,1),(249,1),(340,1),(341,1)}
       284:{1,2,7}:{(226,1),(228,1),(341,1),(511,1)}
       285:{2,4,6}:{(227,1),(229,1),(250,1),(340,1),(342,1),(343,1),(446,1)}
       286:{2,3,7}:{(227,1),(228,1),(230,1),(341,1),(343,1),(511,1)}
       287:{1,3,5}:{(229,1),(231,1),(234,1),(333,1),(342,1)}
       288:{1,3,4,7}:{(229,1),(230,1),(232,1),(235,1),(334,1),(343,1),(345,1)}
       289:{1,4,5,6}:{(231,1),(238,1),(252,1),(337,1),(344,1),(346,1),(347,1),(369,1),(443,1),(494,1),(536,1)}
       290:{1,4,5,7}:{(231,1),(232,1),(239,1),(338,1),(345,1),(347,1),(348,1),(444,1)}
       291:{1,4,6,7}:{(232,1),(233,1),(240,1),(254,1),(339,1),(347,1),(348,1),(496,1)}
       292:{3,5,6}:{(234,1),(238,1),(257,1),(349,1),(350,1),(529,1)}
       293:{3,5,7}:{(234,1),(235,1),(239,1),(350,1)}
       294:{3,4,6,7}:{(235,1),(236,1),(240,1),(259,1),(350,1),(351,1),(352,1),(450,1),(531,1),(546,1),(552,1)}
       295:{3,5,7}:{(236,1),(237,1),(260,1),(352,1)}
       296:{2,4,5,7}:{(238,1),(261,1),(346,1),(349,1),(353,1),(373,1),(445,1),(459,1),(532,1),(549,1),(552,1)}
       297:{2,4,6}:{(239,1),(347,1),(350,1),(354,1),(446,1),(450,1)}
       298:{2,5,7}:{(240,1),(263,1),(348,1),(351,1),(354,1),(534,1)}
       299:{1,3}:{(241,1),(242,1),(355,1)}
       300:{2,3,4}:{(242,1),(243,1),(250,1),(356,1),(357,1),(490,1)}
       301:{3,5}:{(243,1),(244,1),(358,1)}
       302:{3,4,7}:{(243,1),(245,1),(359,1),(360,1),(512,1)}
       303:{2,4,6}:{(244,1),(247,1),(252,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(244,1),(245,1),(248,1),(253,1),(359,1),(361,1),(362,1),(363,1),(456,1),(457,1),(512,1)}
       305:{2,4,6}:{(245,1),(246,1),(254,1),(360,1),(363,1)}
       306:{2,5,7}:{(247,1),(255,1),(361,1),(364,1),(511,1)}
       307:{2,6}:{(248,1),(256,1)}
       308:{1,4}:{(249,1),(250,1)}
       309:{2,4,5}:{(250,1),(251,1),(342,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(251,1),(252,1),(257,1),(344,1),(358,1),(366,1),(367,1),(427,1),(452,1),(494,1),(529,1)}
       311:{1,4,7}:{(252,1),(255,1),(261,1),(361,1),(512,1)}
       312:{1,4,6}:{(253,1),(256,1),(262,1),(362,1),(369,1)}
       313:{1,5}:{(254,1),(263,1),(363,1)}
       314:{1,3,6,7}:{(255,1),(256,1),(264,1),(364,1),(368,1),(454,1),(510,1)}
       315:{3,4,7}:{(257,1),(261,1),(349,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(350,1),(371,1),(450,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(352,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(369,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(395,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(483,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(299,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(284,1),(375,1),(385,1),(396,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(285,1),(300,1),(376,1),(384,1),(386,1),(387,1),(409,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(410,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(289,1),(303,1),(388,1),(392,1),(393,1),(397,1),(414,1),(465,1),(489,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(290,1),(389,1),(393,1),(394,1),(398,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(291,1),(305,1),(390,1),(393,1),(394,1),(467,1)}
       340:{1,4,6}:{(283,1),(285,1),(308,1),(395,1),(396,1),(483,1)}
       341:{1,3,7}:{(283,1),(284,1),(286,1),(396,1)}
       342:{2,5}:{(285,1),(287,1),(395,1)}
       343:{2,4,7}:{(285,1),(286,1),(288,1),(396,1),(398,1)}
       344:{1,3,5,6}:{(287,1),(289,1),(292,1),(310,1),(388,1),(397,1),(399,1),(400,1)}
       345:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(389,1),(398,1),(400,1)}
       346:{1,4,5,7}:{(289,1),(296,1),(311,1),(392,1),(399,1),(401,1),(417,1),(482,1),(518,1),(545,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(400,1),(402,1),(483,1)}
       348:{1,5,7}:{(291,1),(298,1),(313,1),(394,1),(402,1),(520,1)}
       349:{3,5,7}:{(292,1),(296,1),(315,1),(403,1),(540,1)}
       350:{3,6}:{(293,1),(297,1)}
       351:{3,5,7}:{(294,1),(298,1),(317,1),(404,1),(405,1),(542,1)}
       352:{4,7}:{(295,1),(318,1)}
       353:{2,4,6,7}:{(296,1),(297,1),(401,1),(403,1),(406,1),(484,1),(485,1)}
       354:{2,5,6}:{(297,1),(298,1),(402,1),(404,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(301,1),(309,1),(408,1),(409,1),(513,1)}
       358:{3,6}:{(301,1),(303,1),(410,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,4,6}:{(302,1),(305,1),(411,1),(412,1),(489,1)}
       361:{2,4,7}:{(303,1),(306,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(307,1),(312,1),(411,1),(414,1),(489,1)}
       363:{2,5}:{(305,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(395,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(397,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(311,1),(315,1),(399,1),(410,1),(416,1),(468,1),(487,1),(518,1),(540,1)}
       368:{1,4,6,7}:{(311,1),(312,1),(314,1),(319,1),(413,1),(417,1)}
       369:{1,5,6}:{(312,1),(313,1),(320,1),(414,1),(417,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(403,1),(418,1),(485,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(444,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(456,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(355,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(340,1),(356,1),(421,1),(431,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(342,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(343,1),(425,1),(434,1),(436,1),(453,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(358,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(360,1),(429,1),(438,1),(439,1),(440,1),(454,1),(509,1),(512,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(361,1),(437,1),(441,1),(445,1),(457,1),(497,1),(512,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(347,1),(438,1),(442,1),(446,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(363,1),(439,1),(442,1),(499,1)}
       395:{1,5}:{(340,1),(342,1)}
       396:{1,4,7}:{(340,1),(341,1),(343,1),(444,1)}
       397:{2,5,6}:{(342,1),(344,1),(366,1),(443,1),(445,1),(446,1)}
       398:{2,5,7}:{(342,1),(343,1),(345,1),(444,1),(446,1)}
       399:{1,3,5,7}:{(344,1),(346,1),(349,1),(367,1),(437,1),(445,1),(447,1)}
       400:{1,3,6}:{(345,1),(347,1),(350,1),(438,1),(446,1)}
       401:{1,4,6,7}:{(346,1),(347,1),(353,1),(441,1),(447,1),(448,1),(510,1)}
       402:{1,5,6}:{(347,1),(348,1),(354,1),(442,1)}
       403:{3,6,7}:{(349,1),(350,1),(353,1)}
       404:{3,5,6}:{(350,1),(351,1),(354,1),(450,1)}
       405:{4,5,7}:{(351,1),(352,1),(372,1),(450,1),(548,1),(552,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(449,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(358,1),(366,1),(452,1),(453,1),(529,1)}
       410:{3,7}:{(358,1),(361,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,5}:{(360,1),(363,1),(456,1)}
       413:{2,4,6,7}:{(361,1),(362,1),(364,1),(368,1),(454,1),(457,1),(512,1)}
       414:{2,5,6}:{(362,1),(363,1),(369,1),(455,1),(457,1)}
       415:{1,4,6}:{(365,1),(366,1),(443,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(445,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(450,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(483,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(489,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(407,1),(460,1),(472,1),(473,1),(486,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(395,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(396,1),(463,1),(473,1),(475,1),(487,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(409,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(398,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(410,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(412,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(401,1),(478,1),(481,1),(484,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(402,1),(479,1)}
       443:{1,5,6}:{(395,1),(397,1),(415,1),(482,1),(483,1)}
       444:{1,5,7}:{(395,1),(396,1),(398,1),(483,1)}
       445:{2,5,7}:{(397,1),(399,1),(416,1),(482,1),(484,1)}
       446:{2,6}:{(398,1),(400,1),(483,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(401,1),(403,1),(478,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{3,5,6,7}:{(403,1),(404,1),(406,1),(418,1),(485,1),(550,1)}
       450:{4,6}:{(404,1),(405,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(410,1),(416,1),(487,1),(540,1)}
       454:{3,6,7}:{(410,1),(411,1),(413,1),(488,1)}
       455:{3,5,6}:{(411,1),(412,1),(414,1),(488,1),(489,1)}
       456:{4,5}:{(412,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(488,1)}
       458:{1,4,7}:{(415,1),(416,1),(482,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(512,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(511,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(443,1),(452,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(444,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(453,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(446,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(456,1),(502,1),(509,1),(512,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(508,1),(537,1)}
       482:{1,5,7}:{(443,1),(445,1),(458,1),(510,1)}
       483:{1,6}:{(444,1),(446,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{3,5,7}:{(454,1),(455,1),(457,1),(512,1)}
       489:{4,6}:{(455,1),(456,1),(512,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(486,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(482,1),(487,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(483,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(484,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(488,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(511,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 890 :   0:{3,5,6,7}:{(2,1),(3,1),(23,1),(27,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(68,1),(218,1),(321,1),(408,1),(417,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(48,1),(265,1),(376,1)}
         3:{4,6,7}:{(0,1),(12,1),(364,1),(446,1)}
         4:{4,5,6}:{(12,1),(14,1),(369,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(456,1)}
         6:{2,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(55,1),(100,1),(176,1),(278,1)}
         7:{2,3,4,7}:{(11,1),(17,1),(18,1),(100,1),(112,1),(176,1),(177,1),(374,1),(383,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(75,1),(214,1),(337,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(22,1),(23,1),(64,1),(418,1)}
        10:{2,4,5,6}:{(4,1),(21,1),(22,1),(24,1),(29,1),(66,1),(71,1),(224,1),(314,1),(330,1),(404,1),(418,1)}
        11:{2,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(33,1),(417,1),(426,1)}
        12:{4,5,7}:{(3,1),(4,1),(27,1)}
        13:{3,4,6,7}:{(3,1),(5,1),(23,1),(27,1),(28,1),(68,1)}
        14:{3,5,6}:{(4,1),(5,1),(27,1),(29,1),(321,1)}
        15:{2,4,6}:{(5,1),(6,1),(25,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(26,1),(30,1),(31,1),(75,1),(83,1),(139,1),(140,1),(235,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(33,1),(34,1),(71,1),(135,1),(152,1),(153,1),(226,1),(249,1),(329,1),(339,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(34,1),(35,1),(79,1),(82,1),(139,1),(140,1),(228,1),(237,1),(425,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(107,1),(166,1),(292,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(40,1),(95,1),(385,1)}
        21:{1,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(50,1),(97,1),(103,1),(173,1),(262,1),(287,1),(385,1)}
        22:{2,4,5,7}:{(9,1),(10,1),(12,1),(39,1),(42,1),(48,1),(94,1),(100,1),(265,1),(272,1),(364,1)}
        23:{3,6,7}:{(9,1),(42,1),(456,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(276,1),(379,1),(456,1)}
        25:{2,3,6}:{(11,1),(15,1),(46,1),(456,1),(463,1)}
        26:{1,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(52,1),(56,1),(462,1)}
        27:{3,5,7}:{(12,1),(13,1),(14,1),(48,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(100,1)}
        29:{2,5,6}:{(14,1),(15,1),(48,1),(50,1),(278,1)}
        30:{1,4,6}:{(15,1),(16,1),(46,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(47,1),(51,1),(52,1),(106,1),(107,1),(118,1),(186,1),(191,1),(193,1),(195,1)}
        32:{3,4,5}:{(44,1),(55,1),(301,1),(379,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(278,1),(379,1),(388,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(46,1),(56,1),(57,1),(103,1),(110,1),(116,1),(181,1),(184,1),(189,1),(198,1),(204,1),(207,1),(387,1)}
        35:{2,4,7}:{(18,1),(47,1),(57,1),(58,1),(280,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(147,1),(245,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(64,1),(344,1)}
        38:{2,4,5,6}:{(21,1),(60,1),(62,1),(66,1),(77,1),(122,1),(129,1),(143,1),(149,1),(212,1),(241,1),(344,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(22,1),(60,1),(63,1),(75,1),(133,1),(140,1),(214,1),(220,1)}
        40:{1,3,6,7}:{(20,1),(23,1),(61,1),(63,1),(64,1),(427,1)}
        41:{1,3,5,6}:{(21,1),(24,1),(62,1),(63,1),(65,1),(66,1),(340,1),(427,1)}
        42:{3,5,7}:{(22,1),(23,1),(24,1),(68,1),(324,1)}
        43:{2,3,6,7}:{(23,1),(25,1),(28,1),(64,1),(69,1),(70,1)}
        44:{3,4,6}:{(24,1),(32,1),(68,1),(71,1),(404,1)}
        45:{2,3,5,6}:{(24,1),(25,1),(29,1),(33,1),(66,1),(69,1),(71,1),(72,1),(135,1)}
        46:{1,3,6}:{(25,1),(26,1),(30,1),(73,1),(78,1),(491,1)}
        47:{2,5,7}:{(26,1),(35,1),(73,1),(84,1)}
        48:{2,5,7}:{(27,1),(28,1),(29,1),(75,1)}
        49:{1,4,6,7}:{(28,1),(30,1),(70,1),(75,1),(76,1),(140,1)}
        50:{1,5,6}:{(29,1),(30,1),(75,1),(77,1),(235,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(237,1)}
        53:{1,3,4,5}:{(32,1),(65,1),(80,1),(83,1),(125,1),(155,1),(160,1),(217,1),(254,1),(320,1),(340,1)}
        54:{1,2,4,7}:{(35,1),(67,1),(81,1),(82,1),(139,1),(154,1),(333,1),(425,1)}
        55:{2,4,5}:{(32,1),(33,1),(71,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(235,1),(429,1)}
        57:{2,4,6}:{(34,1),(35,1),(73,1),(84,1),(85,1),(161,1),(232,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(237,1)}
        59:{4,6,7}:{(36,1),(87,1),(193,1),(296,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(39,1),(87,1),(89,1),(94,1),(107,1),(166,1),(169,1),(186,1),(193,1)}
        61:{3,6,7}:{(37,1),(89,1),(391,1)}
        62:{3,5,6}:{(38,1),(89,1),(91,1),(189,1),(293,1),(391,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(41,1),(42,1),(89,1),(93,1),(94,1)}
        64:{2,6,7}:{(40,1),(94,1),(95,1),(463,1)}
        65:{1,3,4,6}:{(41,1),(44,1),(53,1),(91,1),(93,1),(96,1),(103,1),(173,1),(181,1),(189,1),(276,1)}
        66:{2,5,6}:{(41,1),(94,1),(96,1),(97,1),(388,1),(463,1)}
        67:{1,2,5,7}:{(47,1),(54,1),(98,1),(99,1),(115,1),(201,1),(462,1)}
        68:{3,4,7}:{(42,1),(44,1),(100,1),(364,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(45,1),(48,1),(94,1),(100,1),(101,1),(177,1)}
        70:{1,3,6,7}:{(43,1),(46,1),(49,1),(95,1),(101,1),(102,1),(108,1)}
        71:{2,4,6}:{(44,1),(45,1),(55,1),(100,1),(103,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(97,1),(101,1),(103,1),(104,1),(109,1),(181,1),(189,1)}
        73:{2,6}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(52,1),(58,1),(99,1),(105,1),(106,1),(119,1),(191,1)}
        75:{1,5,7}:{(48,1),(49,1),(50,1),(107,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1),(107,1),(108,1),(186,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(107,1),(109,1),(191,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(106,1),(110,1),(193,1),(207,1)}
        80:{2,4,5}:{(53,1),(96,1),(113,1),(114,1),(202,1),(306,1),(388,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(98,1),(115,1),(116,1),(184,1),(200,1),(204,1),(284,1),(299,1),(387,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(103,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(189,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(106,1),(117,1),(120,1),(121,1),(290,1),(311,1),(383,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(126,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(62,1),(126,1),(237,1)}
        90:{2,3,6,7}:{(61,1),(64,1),(124,1),(127,1),(128,1),(312,1)}
        91:{3,4,6}:{(62,1),(125,1),(126,1),(129,1),(149,1)}
        92:{2,3,5,6}:{(62,1),(66,1),(127,1),(129,1),(130,1),(135,1),(212,1),(216,1),(312,1)}
        93:{1,3,4,7}:{(63,1),(65,1),(68,1),(126,1),(132,1),(140,1),(220,1),(228,1),(237,1),(324,1)}
        94:{2,5,7}:{(63,1),(64,1),(66,1),(132,1),(133,1)}
        95:{1,6,7}:{(64,1),(133,1),(491,1)}
        96:{2,4,6}:{(65,1),(66,1),(80,1),(132,1),(135,1),(136,1),(232,1)}
        97:{1,5,6}:{(66,1),(133,1),(136,1),(429,1),(491,1)}
        98:{1,2,6}:{(67,1),(73,1),(138,1),(251,1),(491,1)}
        99:{1,3,5,7}:{(67,1),(74,1),(82,1),(131,1),(138,1),(139,1),(157,1),(235,1)}
       100:{2,4,7}:{(68,1),(69,1),(71,1),(140,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(133,1),(140,1),(141,1),(147,1),(228,1),(237,1)}
       102:{2,6,7}:{(70,1),(73,1),(141,1)}
       103:{1,4,6}:{(71,1),(72,1),(83,1),(140,1),(143,1),(149,1)}
       104:{2,5,6}:{(72,1),(73,1),(84,1),(141,1),(143,1),(232,1)}
       105:{2,3,6}:{(73,1),(74,1),(78,1),(138,1),(145,1)}
       106:{2,4,7}:{(74,1),(79,1),(139,1),(145,1),(161,1)}
       107:{2,5,7}:{(75,1),(76,1),(77,1),(147,1)}
       108:{3,6,7}:{(76,1),(78,1),(147,1),(237,1)}
       109:{3,5,6}:{(77,1),(78,1),(147,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(145,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(146,1),(150,1),(151,1),(244,1),(247,1),(258,1),(343,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(135,1),(152,1),(155,1),(160,1),(320,1)}
       114:{1,4,5}:{(80,1),(136,1),(155,1),(354,1),(429,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(235,1),(250,1),(429,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(139,1),(154,1),(158,1),(159,1),(218,1),(357,1),(425,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(143,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(145,1),(158,1),(161,1),(162,1),(163,1),(240,1),(259,1),(339,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(146,1),(159,1),(162,1),(163,1),(343,1),(426,1)}
       122:{4,5,6}:{(87,1),(164,1),(296,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(169,1),(261,1)}
       125:{3,4,5}:{(91,1),(168,1),(195,1),(293,1),(505,1)}
       126:{3,4,7}:{(89,1),(91,1),(169,1),(193,1)}
       127:{2,3,5,7}:{(89,1),(90,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1)}
       128:{1,3,6,7}:{(90,1),(95,1),(167,1),(170,1),(171,1),(266,1),(359,1)}
       129:{2,4,6}:{(91,1),(92,1),(168,1),(169,1),(173,1)}
       130:{1,3,5,6}:{(92,1),(97,1),(170,1),(173,1),(174,1),(181,1),(262,1),(267,1),(276,1),(359,1),(361,1)}
       131:{2,3,5,7}:{(99,1),(112,1),(175,1),(176,1),(199,1),(201,1),(270,1),(278,1)}
       132:{2,4,7}:{(93,1),(94,1),(96,1),(177,1),(178,1),(280,1)}
       133:{1,5,7}:{(94,1),(95,1),(97,1),(178,1)}
       134:{1,2,6,7}:{(95,1),(98,1),(102,1),(171,1),(179,1),(180,1),(304,1),(439,1),(463,1),(514,1),(539,1)}
       135:{2,3,6}:{(96,1),(113,1),(177,1),(181,1),(189,1),(276,1)}
       136:{1,4,6}:{(96,1),(97,1),(114,1),(178,1),(181,1)}
       137:{1,2,5,6}:{(97,1),(98,1),(104,1),(115,1),(174,1),(179,1),(182,1),(183,1),(284,1),(303,1),(366,1),(388,1),(439,1),(463,1),(465,1),(512,1)}
       138:{1,3,6}:{(98,1),(99,1),(105,1),(175,1),(184,1)}
       139:{1,4,7}:{(99,1),(106,1),(176,1),(184,1),(204,1)}
       140:{1,4,7}:{(100,1),(101,1),(103,1),(186,1),(193,1)}
       141:{2,5,7}:{(101,1),(102,1),(104,1),(186,1),(280,1)}
       142:{2,3,6,7}:{(102,1),(105,1),(108,1),(180,1),(187,1),(188,1),(391,1),(463,1),(496,1),(539,1),(549,1)}
       143:{2,4,6}:{(103,1),(104,1),(118,1),(186,1),(189,1)}
       144:{2,3,5,6}:{(104,1),(105,1),(109,1),(119,1),(183,1),(187,1),(189,1),(190,1),(191,1),(285,1),(292,1),(293,1),(388,1),(391,1),(448,1),(463,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       145:{2,4,6}:{(105,1),(106,1),(110,1),(184,1),(191,1)}
       146:{2,4,5,7}:{(106,1),(111,1),(121,1),(185,1),(191,1),(192,1),(208,1),(295,1),(311,1)}
       147:{3,5,7}:{(107,1),(108,1),(109,1),(193,1)}
       148:{3,4,6,7}:{(108,1),(110,1),(188,1),(193,1),(194,1),(290,1),(296,1),(391,1),(530,1),(549,1),(552,1)}
       149:{4,6}:{(109,1),(193,1),(195,1)}
       150:{3,5}:{(110,1),(191,1),(195,1)}
       151:{3,4,6}:{(111,1),(192,1),(196,1),(296,1),(391,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(368,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(181,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(182,1),(202,1),(203,1),(204,1),(268,1),(287,1),(299,1),(302,1),(306,1),(366,1),(388,1),(399,1),(449,1),(467,1),(506,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(184,1),(200,1),(204,1),(205,1),(206,1),(269,1),(301,1),(308,1),(387,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(185,1),(201,1),(205,1),(206,1),(270,1),(462,1)}
       160:{3,5}:{(118,1),(189,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(191,1),(205,1),(208,1),(293,1),(388,1)}
       163:{2,3,6}:{(121,1),(192,1),(206,1),(391,1),(463,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(126,1),(211,1),(213,1),(244,1),(343,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(128,1),(214,1),(215,1),(220,1),(313,1)}
       168:{2,4,5}:{(125,1),(129,1),(216,1),(217,1),(480,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(220,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(130,1),(133,1),(214,1),(220,1),(221,1),(228,1),(317,1),(324,1)}
       171:{2,6,7}:{(128,1),(221,1),(402,1)}
       172:{2,3,4,6}:{(129,1),(135,1),(152,1),(216,1),(219,1),(223,1),(240,1),(312,1),(339,1),(420,1),(480,1),(516,1)}
       173:{1,4,6}:{(129,1),(130,1),(217,1),(220,1),(224,1),(404,1)}
       174:{2,5,6}:{(130,1),(221,1),(224,1),(232,1),(319,1),(402,1)}
       175:{2,3,6}:{(131,1),(138,1),(226,1),(251,1),(322,1)}
       176:{2,4,7}:{(131,1),(139,1),(218,1),(226,1),(249,1)}
       177:{2,3,7}:{(132,1),(135,1),(228,1),(237,1),(324,1)}
       178:{1,4,7}:{(132,1),(133,1),(136,1),(228,1)}
       179:{1,2,5,7}:{(133,1),(134,1),(137,1),(141,1),(221,1),(229,1),(230,1),(333,1),(353,1),(426,1),(493,1),(529,1)}
       180:{1,3,6,7}:{(134,1),(138,1),(142,1),(222,1),(230,1),(231,1),(427,1),(471,1),(491,1)}
       181:{1,3,6}:{(135,1),(136,1),(155,1),(228,1),(232,1)}
       182:{1,2,4,6}:{(136,1),(137,1),(143,1),(156,1),(224,1),(229,1),(232,1),(233,1),(234,1),(339,1),(352,1),(437,1),(494,1),(525,1)}
       183:{1,3,5,6}:{(137,1),(138,1),(144,1),(157,1),(225,1),(230,1),(233,1),(234,1),(235,1),(337,1),(338,1),(340,1),(410,1),(427,1),(429,1),(471,1),(491,1),(517,1)}
       184:{1,4,6}:{(138,1),(139,1),(145,1),(226,1),(235,1)}
       185:{1,4,5,7}:{(139,1),(146,1),(159,1),(227,1),(235,1),(236,1),(255,1),(342,1),(357,1)}
       186:{2,4,7}:{(140,1),(141,1),(143,1),(237,1)}
       187:{2,3,5,7}:{(141,1),(142,1),(144,1),(147,1),(230,1),(237,1),(238,1),(239,1),(334,1),(343,1),(426,1),(529,1),(545,1),(551,1)}
       188:{2,4,6,7}:{(142,1),(145,1),(148,1),(231,1),(238,1),(239,1),(344,1),(516,1)}
       189:{3,6}:{(143,1),(160,1),(237,1)}
       190:{2,4,6}:{(144,1),(149,1),(161,1),(234,1),(238,1),(240,1),(241,1),(480,1),(550,1)}
       191:{2,5}:{(145,1),(150,1),(235,1)}
       192:{2,4,6}:{(146,1),(151,1),(163,1),(236,1),(242,1)}
       193:{4,7}:{(147,1),(149,1)}
       194:{3,5,7}:{(148,1),(150,1),(239,1),(244,1),(245,1),(540,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(242,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(243,1),(247,1),(348,1),(358,1),(432,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(232,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(233,1),(253,1),(254,1),(320,1),(349,1),(351,1),(524,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(235,1),(250,1),(255,1),(321,1),(351,1),(429,1)}
       206:{1,3,6}:{(159,1),(163,1),(236,1),(251,1),(322,1),(491,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(242,1),(256,1),(259,1),(260,1),(346,1),(430,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(243,1),(257,1),(260,1),(432,1),(492,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(296,1),(391,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(169,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(171,1),(265,1),(266,1),(272,1),(360,1),(364,1)}
       216:{2,3,5}:{(168,1),(172,1),(267,1),(293,1),(388,1),(531,1)}
       217:{1,4,5}:{(168,1),(173,1),(267,1),(268,1),(442,1),(449,1)}
       218:{3,4,7}:{(176,1),(269,1),(270,1),(301,1),(452,1)}
       219:{2,3,4,7}:{(169,1),(172,1),(177,1),(263,1),(271,1),(290,1),(383,1),(453,1),(501,1)}
       220:{1,4,7}:{(169,1),(170,1),(173,1),(272,1),(364,1)}
       221:{2,5,7}:{(170,1),(171,1),(174,1),(272,1),(280,1)}
       222:{2,3,6,7}:{(171,1),(175,1),(180,1),(266,1),(273,1),(274,1),(304,1),(371,1),(440,1),(456,1),(463,1)}
       223:{1,3,4,6}:{(172,1),(173,1),(181,1),(198,1),(267,1),(271,1),(275,1),(276,1),(359,1),(368,1),(377,1),(387,1),(441,1),(449,1),(497,1)}
       224:{2,4,6}:{(173,1),(174,1),(268,1),(272,1),(276,1)}
       225:{2,3,5,6}:{(174,1),(175,1),(183,1),(199,1),(273,1),(276,1),(277,1),(278,1),(285,1),(303,1),(361,1),(367,1),(370,1),(376,1),(379,1),(388,1),(397,1),(440,1),(456,1),(463,1),(498,1)}
       226:{2,4,6}:{(175,1),(176,1),(184,1),(269,1),(278,1)}
       227:{2,4,5,7}:{(176,1),(185,1),(201,1),(270,1),(278,1),(279,1),(302,1),(369,1),(381,1),(398,1),(452,1)}
       228:{1,3,7}:{(177,1),(178,1),(181,1),(280,1)}
       229:{1,2,4,7}:{(178,1),(179,1),(182,1),(186,1),(272,1),(280,1),(281,1),(282,1),(383,1),(398,1),(470,1),(515,1),(538,1)}
       230:{1,3,5,7}:{(179,1),(180,1),(183,1),(187,1),(273,1),(281,1),(282,1),(283,1),(382,1),(462,1)}
       231:{1,4,6,7}:{(180,1),(184,1),(188,1),(274,1),(282,1),(283,1),(385,1),(497,1)}
       232:{2,6}:{(181,1),(202,1),(280,1)}
       233:{1,3,6}:{(182,1),(189,1),(203,1),(276,1),(281,1),(285,1),(397,1),(537,1)}
       234:{1,4,6}:{(183,1),(190,1),(204,1),(277,1),(282,1),(287,1),(449,1)}
       235:{1,5}:{(184,1),(191,1),(278,1)}
       236:{1,4,6}:{(185,1),(192,1),(206,1),(279,1),(288,1)}
       237:{3,7}:{(186,1),(189,1)}
       238:{2,4,7}:{(187,1),(190,1),(193,1),(282,1),(290,1),(552,1)}
       239:{2,5,7}:{(188,1),(191,1),(194,1),(283,1),(292,1),(531,1)}
       240:{3,4,6}:{(189,1),(190,1),(207,1),(290,1),(293,1),(391,1),(505,1),(537,1)}
       241:{2,4,5}:{(190,1),(191,1),(195,1),(287,1),(293,1),(388,1),(531,1),(546,1)}
       242:{2,5,6}:{(191,1),(192,1),(196,1),(288,1),(295,1)}
       243:{2,4,6,7}:{(192,1),(197,1),(210,1),(289,1),(295,1),(311,1)}
       244:{4,5,7}:{(193,1),(194,1),(195,1),(296,1),(546,1),(552,1)}
       245:{3,5,6}:{(194,1),(292,1),(296,1),(391,1)}
       246:{4,5,6}:{(195,1),(196,1),(296,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(295,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(284,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(285,1),(300,1),(305,1),(306,1),(388,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(368,1),(449,1),(505,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(369,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(288,1),(303,1),(308,1),(309,1),(370,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(289,1),(304,1),(309,1),(371,1),(514,1)}
       258:{3,4,5}:{(207,1),(208,1),(293,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(295,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(219,1),(312,1),(315,1),(343,1),(426,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(220,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(324,1),(403,1)}
       267:{1,3,5}:{(216,1),(217,1),(223,1),(319,1),(320,1),(429,1),(473,1),(517,1)}
       268:{2,4,5}:{(217,1),(224,1),(319,1),(320,1),(411,1)}
       269:{3,4,6}:{(218,1),(226,1),(321,1),(322,1),(413,1)}
       270:{3,5,7}:{(218,1),(227,1),(321,1),(322,1),(351,1),(436,1)}
       271:{1,3,4,7}:{(219,1),(220,1),(223,1),(228,1),(315,1),(323,1),(324,1),(407,1),(415,1),(425,1),(476,1)}
       272:{2,4,7}:{(220,1),(221,1),(224,1),(324,1)}
       273:{2,3,5,7}:{(221,1),(222,1),(225,1),(230,1),(317,1),(324,1),(325,1),(326,1),(334,1),(353,1),(414,1),(417,1),(426,1),(436,1)}
       274:{2,4,6,7}:{(222,1),(226,1),(231,1),(318,1),(325,1),(326,1),(418,1),(472,1)}
       275:{2,4,6}:{(223,1),(232,1),(248,1),(319,1),(323,1),(328,1),(402,1),(411,1)}
       276:{3,6}:{(224,1),(320,1),(324,1)}
       277:{2,4,6}:{(225,1),(234,1),(249,1),(325,1),(329,1),(330,1),(404,1),(411,1),(413,1)}
       278:{2,5}:{(226,1),(235,1),(321,1)}
       279:{2,4,6}:{(227,1),(236,1),(251,1),(322,1),(331,1),(413,1)}
       280:{2,7}:{(228,1),(232,1)}
       281:{1,3,7}:{(229,1),(233,1),(237,1),(324,1),(334,1),(436,1),(545,1)}
       282:{1,4,7}:{(230,1),(234,1),(238,1),(325,1)}
       283:{1,5,7}:{(231,1),(235,1),(239,1),(326,1),(337,1),(517,1)}
       284:{1,2,6}:{(232,1),(252,1),(333,1),(338,1),(494,1)}
       285:{2,3,6}:{(232,1),(233,1),(253,1),(334,1),(338,1),(339,1),(494,1)}
       286:{1,3,4,6}:{(233,1),(234,1),(240,1),(254,1),(329,1),(335,1),(339,1),(340,1),(427,1)}
       287:{1,4,5}:{(234,1),(235,1),(241,1),(330,1),(340,1),(429,1),(517,1)}
       288:{1,5,6}:{(235,1),(236,1),(242,1),(331,1),(342,1)}
       289:{1,4,6,7}:{(236,1),(243,1),(257,1),(332,1),(342,1),(357,1)}
       290:{3,4,7}:{(237,1),(238,1),(240,1),(343,1),(545,1)}
       291:{2,4,5,7}:{(238,1),(239,1),(241,1),(244,1),(336,1),(343,1),(344,1),(426,1)}
       292:{2,5,6}:{(239,1),(245,1),(337,1),(344,1)}
       293:{3,5}:{(240,1),(241,1)}
       294:{2,4,5,6}:{(241,1),(242,1),(246,1),(259,1),(341,1),(344,1),(346,1),(347,1),(430,1),(525,1),(541,1),(550,1)}
       295:{2,5,7}:{(242,1),(243,1),(247,1),(342,1)}
       296:{4,6}:{(244,1),(245,1)}
       297:{3,5,6,7}:{(245,1),(247,1),(345,1),(348,1),(432,1),(551,1)}
       298:{4,5,7}:{(246,1),(247,1),(348,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(338,1),(349,1),(354,1),(429,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(340,1),(351,1),(355,1),(356,1),(412,1),(434,1),(481,1),(524,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(413,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(342,1),(353,1),(357,1),(414,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(346,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(391,1),(463,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(271,1),(359,1),(362,1),(363,1),(462,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(272,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(269,1),(274,1),(364,1),(365,1),(371,1),(374,1),(441,1),(446,1),(452,1),(456,1)}
       319:{2,5}:{(267,1),(275,1)}
       320:{3,5}:{(268,1),(276,1),(368,1)}
       321:{3,5}:{(269,1),(278,1),(369,1)}
       322:{3,6}:{(270,1),(279,1)}
       323:{2,4,7}:{(271,1),(275,1),(280,1),(362,1),(373,1)}
       324:{3,7}:{(272,1),(276,1)}
       325:{2,4,7}:{(273,1),(277,1),(282,1),(364,1),(374,1),(452,1)}
       326:{2,5,7}:{(274,1),(278,1),(283,1),(365,1),(376,1),(498,1)}
       327:{1,2,4,6}:{(275,1),(284,1),(299,1),(366,1),(372,1),(377,1),(387,1),(439,1),(449,1),(458,1),(497,1)}
       328:{2,3,6}:{(275,1),(276,1),(300,1),(367,1),(373,1),(377,1)}
       329:{3,4,6}:{(276,1),(277,1),(301,1),(368,1),(374,1),(379,1),(397,1),(456,1)}
       330:{2,4,5}:{(277,1),(278,1),(287,1),(369,1),(379,1),(388,1),(442,1),(498,1)}
       331:{2,5,6}:{(278,1),(279,1),(288,1),(370,1),(381,1)}
       332:{2,4,6,7}:{(279,1),(289,1),(304,1),(371,1),(381,1),(398,1),(452,1)}
       333:{1,2,7}:{(280,1),(284,1),(382,1),(515,1)}
       334:{2,3,7}:{(280,1),(281,1),(285,1),(382,1),(383,1),(515,1)}
       335:{1,3,4,7}:{(281,1),(282,1),(286,1),(290,1),(374,1),(383,1),(384,1)}
       336:{1,4,5,7}:{(282,1),(283,1),(287,1),(291,1),(375,1),(384,1),(385,1),(462,1)}
       337:{1,5,6}:{(283,1),(292,1),(376,1),(385,1)}
       338:{1,3,6}:{(284,1),(285,1),(305,1),(382,1),(387,1)}
       339:{2,4,6}:{(285,1),(286,1),(306,1),(383,1),(387,1),(388,1),(463,1)}
       340:{1,3,5}:{(286,1),(287,1),(293,1),(379,1),(388,1)}
       341:{1,4,5,6}:{(287,1),(288,1),(294,1),(308,1),(380,1),(385,1),(389,1),(390,1),(465,1),(507,1),(532,1)}
       342:{1,5,7}:{(288,1),(289,1),(295,1),(381,1)}
       343:{3,5,7}:{(290,1),(291,1),(293,1),(391,1)}
       344:{2,4,6}:{(291,1),(292,1),(296,1),(385,1),(391,1),(463,1)}
       345:{2,5,6,7}:{(292,1),(295,1),(297,1),(386,1),(392,1),(548,1)}
       346:{3,5,6}:{(293,1),(294,1),(310,1),(391,1),(393,1),(537,1)}
       347:{2,4,5,7}:{(294,1),(295,1),(298,1),(311,1),(390,1),(392,1),(393,1),(466,1),(538,1),(548,1),(552,1)}
       348:{4,6,7}:{(296,1),(297,1),(298,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(505,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(388,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(389,1),(397,1),(400,1),(401,1),(451,1),(468,1),(507,1),(537,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(452,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(491,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(323,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(324,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(321,1),(326,1),(408,1),(409,1),(473,1)}
       366:{1,2,5}:{(319,1),(327,1),(410,1),(429,1),(488,1),(517,1)}
       367:{2,3,5}:{(319,1),(320,1),(328,1),(410,1),(411,1)}
       368:{3,4}:{(320,1),(411,1)}
       369:{4,5}:{(321,1),(413,1)}
       370:{3,5,6}:{(321,1),(322,1),(331,1),(413,1),(414,1)}
       371:{3,6,7}:{(322,1),(332,1),(414,1),(436,1)}
       372:{1,2,4,7}:{(323,1),(327,1),(333,1),(405,1),(415,1),(425,1),(476,1),(484,1)}
       373:{2,3,7}:{(323,1),(324,1),(328,1),(415,1)}
       374:{3,4,7}:{(324,1),(325,1),(329,1),(417,1),(436,1)}
       375:{2,4,5,7}:{(325,1),(326,1),(330,1),(336,1),(408,1),(417,1),(418,1),(426,1)}
       376:{2,5,6}:{(326,1),(337,1),(409,1),(418,1)}
       377:{1,3,6}:{(327,1),(328,1),(349,1),(410,1),(415,1),(420,1)}
       378:{2,3,4,6}:{(328,1),(329,1),(339,1),(350,1),(411,1),(416,1),(421,1),(422,1),(435,1),(472,1),(482,1),(486,1)}
       379:{3,5}:{(329,1),(330,1)}
       380:{2,4,5,6}:{(330,1),(331,1),(341,1),(352,1),(413,1),(418,1),(423,1),(424,1),(430,1),(474,1),(482,1),(518,1)}
       381:{2,5,7}:{(331,1),(332,1),(342,1),(414,1)}
       382:{1,3,7}:{(333,1),(334,1),(338,1),(425,1)}
       383:{2,4,7}:{(334,1),(335,1),(339,1),(425,1),(426,1)}
       384:{1,3,5,7}:{(335,1),(336,1),(340,1),(343,1),(417,1),(426,1),(427,1)}
       385:{1,4,6}:{(336,1),(337,1),(344,1),(418,1),(427,1),(491,1)}
       386:{1,5,6,7}:{(337,1),(342,1),(345,1),(419,1),(428,1),(542,1)}
       387:{1,4,6}:{(338,1),(339,1),(354,1),(425,1),(429,1),(491,1)}
       388:{2,5}:{(339,1),(340,1),(429,1)}
       389:{1,3,5,6}:{(340,1),(341,1),(346,1),(356,1),(423,1),(427,1),(430,1),(431,1)}
       390:{1,4,5,7}:{(341,1),(342,1),(347,1),(357,1),(424,1),(428,1),(431,1),(493,1),(526,1),(542,1)}
       391:{3,6}:{(343,1),(344,1)}
       392:{2,4,6,7}:{(344,1),(345,1),(347,1),(348,1),(428,1),(432,1),(492,1)}
       393:{3,5,7}:{(346,1),(347,1),(358,1),(432,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(524,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(429,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(430,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(431,1),(436,1),(438,1),(483,1),(495,1),(526,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(372,1),(439,1),(443,1),(462,1),(509,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(373,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(368,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(369,1),(442,1),(446,1),(452,1)}
       409:{3,5,6}:{(365,1),(376,1),(446,1),(456,1)}
       410:{1,3,5}:{(366,1),(367,1),(377,1),(448,1),(449,1)}
       411:{2,4}:{(367,1),(368,1),(449,1)}
       412:{3,4,5}:{(368,1),(369,1),(379,1),(450,1),(451,1)}
       413:{4,6}:{(369,1),(370,1),(452,1)}
       414:{3,5,7}:{(370,1),(371,1),(381,1),(452,1)}
       415:{1,3,7}:{(372,1),(373,1),(377,1),(453,1)}
       416:{2,3,4,7}:{(373,1),(374,1),(378,1),(383,1),(444,1),(454,1),(455,1),(469,1),(508,1)}
       417:{3,5,7}:{(374,1),(375,1),(379,1),(456,1)}
       418:{2,4,6}:{(375,1),(376,1),(385,1),(446,1),(456,1),(463,1)}
       419:{2,5,6,7}:{(376,1),(381,1),(386,1),(447,1),(457,1),(533,1)}
       420:{2,3,6}:{(377,1),(394,1),(448,1),(453,1),(458,1),(537,1)}
       421:{1,3,4,6}:{(377,1),(378,1),(387,1),(395,1),(449,1),(454,1),(458,1),(459,1),(468,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       422:{2,3,5}:{(378,1),(379,1),(388,1),(450,1),(459,1),(498,1)}
       423:{3,5,6}:{(379,1),(380,1),(397,1),(451,1),(456,1),(461,1)}
       424:{2,4,5,7}:{(380,1),(381,1),(390,1),(398,1),(452,1),(457,1),(461,1),(466,1),(500,1),(508,1),(533,1)}
       425:{1,4,7}:{(382,1),(383,1),(387,1),(462,1)}
       426:{2,5,7}:{(383,1),(384,1),(388,1),(462,1),(463,1)}
       427:{1,3,6}:{(384,1),(385,1),(391,1),(456,1),(463,1)}
       428:{1,4,6,7}:{(385,1),(386,1),(390,1),(392,1),(457,1),(464,1),(514,1)}
       429:{1,5}:{(387,1),(388,1)}
       430:{2,5,6}:{(388,1),(389,1),(400,1),(463,1),(465,1),(466,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(393,1),(401,1),(461,1),(464,1),(466,1)}
       432:{3,6,7}:{(391,1),(392,1),(393,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(537,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(491,1),(527,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(415,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(411,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(417,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(419,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(410,1),(420,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(410,1),(411,1),(480,1)}
       450:{2,4,5}:{(411,1),(412,1),(422,1),(481,1),(482,1)}
       451:{3,4,6}:{(412,1),(413,1),(423,1),(482,1),(483,1)}
       452:{4,7}:{(413,1),(414,1)}
       453:{2,3,7}:{(415,1),(420,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(415,1),(416,1),(421,1),(425,1),(476,1),(484,1),(485,1),(495,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(416,1),(417,1),(422,1),(426,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(417,1),(418,1)}
       457:{2,4,6,7}:{(418,1),(419,1),(424,1),(428,1),(479,1),(487,1),(492,1)}
       458:{2,4,6}:{(420,1),(421,1),(433,1),(480,1),(484,1),(488,1),(494,1),(527,1)}
       459:{1,3,5}:{(421,1),(422,1),(429,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(422,1),(423,1),(430,1),(435,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(423,1),(424,1),(436,1),(483,1),(487,1)}
       462:{1,5,7}:{(425,1),(426,1),(429,1),(491,1)}
       463:{2,6}:{(426,1),(427,1),(491,1)}
       464:{1,3,6,7}:{(427,1),(428,1),(431,1),(432,1),(487,1),(492,1)}
       465:{1,5,6}:{(429,1),(430,1),(437,1),(491,1),(493,1)}
       466:{2,5,7}:{(430,1),(431,1),(438,1),(492,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(515,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(462,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(463,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(465,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(466,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{1,6}:{(462,1),(463,1)}
       492:{2,6,7}:{(463,1),(464,1),(466,1),(514,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(514,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(491,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(492,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(494,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(493,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{1,6,7}:{(491,1),(492,1),(493,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(514,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(515,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

 891 :   0:{3,4,5,7}:{(1,1),(2,1),(13,1),(67,1),(103,1),(197,1),(301,1),(376,1),(379,1)}
         1:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(42,1),(70,1),(150,1),(251,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(417,1),(420,1)}
         3:{2,3,4,7}:{(6,1),(10,1),(11,1),(70,1),(90,1),(150,1),(237,1),(332,1),(336,1)}
         4:{3,4,6,7}:{(2,1),(12,1),(13,1),(15,1),(50,1),(103,1)}
         5:{3,5,6,7}:{(13,1),(14,1),(15,1),(50,1),(375,1),(394,1)}
         6:{2,3,5,7}:{(1,1),(3,1),(16,1),(17,1),(24,1),(379,1),(383,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(18,1),(19,1),(46,1),(66,1),(102,1),(112,1),(202,1)}
         8:{2,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1)}
         9:{3,5,6}:{(2,1),(13,1),(20,1),(21,1),(301,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(22,1),(23,1),(56,1),(61,1),(102,1),(112,1),(186,1),(291,1),(384,1)}
        11:{2,3,4,6}:{(3,1),(17,1),(23,1),(24,1),(55,1),(126,1),(199,1),(209,1),(218,1),(227,1),(305,1),(309,1)}
        12:{2,4,6,7}:{(4,1),(8,1),(25,1),(26,1),(27,1),(70,1)}
        13:{3,5,7}:{(4,1),(9,1),(27,1),(28,1)}
        14:{2,5,6,7}:{(5,1),(27,1),(29,1),(30,1),(330,1),(347,1)}
        15:{4,6,7}:{(5,1),(28,1),(417,1),(433,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(10,1),(31,1),(32,1),(34,1),(41,1),(425,1)}
        17:{2,3,6}:{(6,1),(8,1),(32,1),(420,1),(424,1)}
        18:{2,4,5,7}:{(7,1),(31,1),(34,1),(35,1),(72,1),(80,1),(97,1),(140,1),(143,1),(157,1),(163,1)}
        19:{1,4,6}:{(7,1),(8,1),(32,1),(35,1),(36,1)}
        20:{2,5,6}:{(8,1),(9,1),(27,1),(36,1),(251,1)}
        21:{4,5,6}:{(9,1),(28,1),(351,1),(417,1)}
        22:{2,4,7}:{(10,1),(31,1),(39,1),(40,1),(342,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(32,1),(40,1),(41,1),(83,1),(86,1),(92,1),(153,1),(159,1),(172,1),(177,1),(262,1),(278,1),(359,1)}
        24:{2,3,5}:{(11,1),(41,1),(42,1),(251,1),(354,1),(358,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(43,1),(44,1),(50,1),(110,1)}
        26:{1,4,6,7}:{(12,1),(19,1),(43,1),(45,1),(46,1),(102,1)}
        27:{2,5,7}:{(12,1),(13,1),(20,1),(46,1)}
        28:{4,5,7}:{(13,1),(15,1),(21,1)}
        29:{1,5,6,7}:{(14,1),(46,1),(48,1),(49,1),(283,1),(298,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(47,1),(49,1),(50,1),(110,1),(378,1)}
        31:{2,5,7}:{(16,1),(22,1),(53,1),(65,1)}
        32:{1,3,6}:{(16,1),(17,1),(19,1),(53,1),(57,1),(461,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(24,1),(44,1),(54,1),(55,1),(60,1),(124,1),(209,1)}
        34:{3,5,7}:{(18,1),(56,1),(57,1),(121,1),(134,1),(186,1)}
        35:{2,4,6}:{(18,1),(19,1),(53,1),(57,1),(58,1),(122,1)}
        36:{1,5,6}:{(19,1),(20,1),(46,1),(58,1),(202,1)}
        37:{2,4,5,6}:{(20,1),(21,1),(47,1),(55,1),(59,1),(60,1),(124,1),(304,1),(317,1),(378,1),(393,1),(468,1)}
        38:{1,2,4,7}:{(22,1),(51,1),(61,1),(62,1),(112,1),(125,1),(384,1),(385,1)}
        39:{2,3,7}:{(22,1),(61,1),(64,1),(186,1)}
        40:{2,4,6}:{(22,1),(23,1),(53,1),(64,1),(65,1),(133,1),(315,1),(328,1)}
        41:{1,3,5}:{(23,1),(24,1),(65,1),(66,1),(121,1),(134,1),(202,1),(404,1)}
        42:{2,4,5}:{(24,1),(55,1),(66,1),(67,1),(218,1)}
        43:{1,3,6,7}:{(25,1),(26,1),(32,1),(68,1),(69,1),(71,1),(149,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(33,1),(69,1),(70,1),(74,1),(145,1),(237,1)}
        45:{2,4,6,7}:{(26,1),(35,1),(68,1),(71,1),(72,1),(140,1),(143,1)}
        46:{1,5,7}:{(26,1),(27,1),(36,1),(72,1)}
        47:{2,4,5,7}:{(27,1),(28,1),(30,1),(37,1),(70,1),(73,1),(74,1),(145,1),(345,1),(347,1),(433,1)}
        48:{2,5,6,7}:{(29,1),(72,1),(75,1),(76,1),(234,1),(245,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(73,1),(76,1),(77,1),(149,1),(334,1)}
        50:{3,6,7}:{(30,1),(74,1),(420,1)}
        51:{1,2,5,7}:{(31,1),(38,1),(78,1),(79,1),(93,1),(167,1),(425,1)}
        52:{2,3,5,7}:{(31,1),(34,1),(39,1),(78,1),(80,1),(81,1),(96,1),(157,1)}
        53:{2,6}:{(31,1),(32,1)}
        54:{1,3,5,6}:{(32,1),(33,1),(36,1),(41,1),(69,1),(82,1),(83,1),(87,1),(159,1),(166,1),(262,1)}
        55:{2,4,6}:{(33,1),(42,1),(70,1),(83,1),(84,1)}
        56:{3,4,7}:{(34,1),(80,1),(86,1),(143,1),(177,1)}
        57:{3,6}:{(34,1),(35,1)}
        58:{2,5,6}:{(35,1),(36,1),(72,1),(87,1),(157,1)}
        59:{1,4,5,6}:{(36,1),(37,1),(73,1),(83,1),(88,1),(89,1),(166,1),(255,1),(265,1),(334,1),(346,1)}
        60:{3,5,6}:{(37,1),(74,1),(84,1),(354,1),(365,1),(420,1)}
        61:{1,3,7}:{(38,1),(39,1),(90,1),(92,1)}
        62:{1,2,4,6}:{(38,1),(40,1),(79,1),(92,1),(93,1),(153,1),(168,1),(172,1),(359,1),(360,1),(373,1)}
        63:{2,3,4,7}:{(39,1),(80,1),(91,1),(94,1),(95,1),(236,1),(276,1),(336,1),(447,1)}
        64:{2,3,6}:{(39,1),(40,1),(92,1),(96,1),(159,1),(374,1)}
        65:{2,5}:{(40,1),(41,1)}
        66:{1,4,5}:{(41,1),(42,1),(83,1),(97,1),(163,1),(172,1)}
        67:{3,4,5}:{(42,1),(84,1),(270,1),(354,1),(496,1)}
        68:{2,6,7}:{(43,1),(53,1),(101,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(46,1),(54,1),(101,1),(102,1),(105,1),(186,1),(192,1),(291,1)}
        70:{2,4,7}:{(44,1),(55,1),(102,1),(103,1)}
        71:{3,6,7}:{(45,1),(57,1),(105,1),(186,1)}
        72:{2,5,7}:{(45,1),(46,1),(58,1),(105,1)}
        73:{1,4,5,7}:{(46,1),(47,1),(49,1),(59,1),(102,1),(106,1),(107,1),(192,1),(295,1),(298,1)}
        74:{3,5,7}:{(47,1),(50,1),(60,1),(103,1),(392,1)}
        75:{3,5,6,7}:{(48,1),(105,1),(108,1),(109,1),(188,1),(194,1)}
        76:{2,4,6,7}:{(48,1),(49,1),(106,1),(108,1),(109,1),(110,1),(288,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(107,1),(109,1),(110,1),(382,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(61,1),(111,1),(112,1),(113,1),(129,1),(202,1)}
        79:{1,2,6}:{(51,1),(53,1),(113,1),(216,1),(461,1)}
        80:{2,4,7}:{(52,1),(56,1),(112,1),(116,1),(133,1)}
        81:{2,3,6}:{(52,1),(53,1),(57,1),(113,1),(116,1)}
        82:{2,5,6}:{(53,1),(54,1),(65,1),(101,1),(118,1),(315,1)}
        83:{1,4,6}:{(54,1),(55,1),(66,1),(102,1),(118,1),(122,1)}
        84:{3,4,6}:{(55,1),(60,1),(67,1),(103,1),(468,1)}
        85:{3,4,5,7}:{(56,1),(115,1),(120,1),(121,1),(189,1),(211,1),(226,1),(289,1),(327,1)}
        86:{3,4,6}:{(56,1),(57,1),(116,1),(121,1),(122,1)}
        87:{3,5,6}:{(57,1),(58,1),(105,1),(121,1),(122,1)}
        88:{2,4,5,6}:{(58,1),(59,1),(106,1),(118,1),(122,1),(123,1),(124,1),(193,1),(207,1),(214,1),(288,1),(297,1)}
        89:{1,3,5,6}:{(59,1),(60,1),(107,1),(119,1),(123,1),(124,1),(308,1),(382,1)}
        90:{2,3,7}:{(61,1),(125,1),(126,1),(409,1)}
        91:{1,3,4,7}:{(61,1),(63,1),(112,1),(125,1),(127,1),(128,1),(197,1),(322,1),(384,1),(409,1),(479,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(126,1),(129,1),(415,1)}
        93:{1,2,5}:{(62,1),(65,1),(129,1),(202,1),(217,1),(404,1)}
        94:{2,3,5,7}:{(63,1),(115,1),(127,1),(131,1),(132,1),(289,1),(383,1)}
        95:{2,3,4,6}:{(63,1),(64,1),(116,1),(128,1),(131,1),(132,1),(133,1),(208,1),(225,1),(309,1),(321,1),(410,1)}
        96:{2,3,5}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        97:{2,4,5}:{(65,1),(66,1),(118,1),(133,1),(134,1)}
        98:{1,3,4,5}:{(66,1),(67,1),(119,1),(134,1),(135,1),(213,1),(222,1),(228,1),(308,1),(316,1),(408,1)}
        99:{1,2,6,7}:{(68,1),(79,1),(136,1),(137,1),(149,1),(247,1),(267,1),(424,1),(490,1),(491,1),(527,1)}
       100:{2,3,6,7}:{(68,1),(71,1),(81,1),(136,1),(138,1),(139,1),(339,1),(424,1),(527,1),(528,1),(545,1)}
       101:{2,5,7}:{(68,1),(69,1),(82,1),(140,1),(342,1)}
       102:{1,4,7}:{(69,1),(70,1),(83,1),(140,1),(143,1)}
       103:{3,4,7}:{(70,1),(74,1),(84,1),(433,1)}
       104:{3,4,6,7}:{(71,1),(86,1),(138,1),(142,1),(143,1),(236,1),(240,1),(339,1),(545,1),(546,1),(551,1)}
       105:{3,5,7}:{(71,1),(72,1),(87,1),(143,1)}
       106:{2,4,5,7}:{(72,1),(73,1),(76,1),(88,1),(140,1),(143,1),(144,1),(145,1),(146,1),(242,1),(245,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(77,1),(89,1),(141,1),(144,1),(145,1)}
       108:{4,6,7}:{(75,1),(143,1),(146,1),(240,1)}
       109:{3,6,7}:{(76,1),(144,1),(339,1)}
       110:{2,6,7}:{(77,1),(145,1),(149,1),(424,1)}
       111:{2,3,5,7}:{(78,1),(90,1),(150,1),(151,1),(167,1),(169,1),(248,1),(251,1)}
       112:{1,4,7}:{(78,1),(80,1),(150,1),(153,1),(172,1)}
       113:{1,3,6}:{(78,1),(79,1),(81,1),(151,1),(153,1)}
       114:{1,2,5,6}:{(79,1),(82,1),(93,1),(137,1),(154,1),(155,1),(166,1),(266,1),(268,1),(358,1),(360,1),(424,1),(442,1),(443,1),(491,1),(501,1)}
       115:{2,4,5,7}:{(80,1),(85,1),(94,1),(152,1),(156,1),(157,1),(176,1),(258,1),(276,1)}
       116:{2,4,6}:{(80,1),(81,1),(86,1),(153,1),(157,1)}
       117:{2,3,5,6}:{(81,1),(82,1),(87,1),(96,1),(139,1),(154,1),(157,1),(158,1),(159,1),(234,1),(257,1),(260,1),(339,1),(358,1),(424,1),(501,1),(502,1),(528,1),(533,1),(544,1),(547,1)}
       118:{2,4,6}:{(82,1),(83,1),(97,1),(140,1),(159,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(89,1),(98,1),(141,1),(159,1),(160,1),(164,1),(262,1),(265,1),(365,1)}
       120:{3,4,6}:{(85,1),(156,1),(162,1),(240,1),(339,1)}
       121:{3,5}:{(86,1),(157,1),(163,1)}
       122:{4,6}:{(87,1),(143,1),(163,1)}
       123:{3,5,6}:{(88,1),(144,1),(159,1),(164,1),(260,1),(339,1)}
       124:{2,5,6}:{(89,1),(145,1),(160,1),(166,1),(358,1),(424,1)}
       125:{2,4,7}:{(90,1),(91,1),(167,1),(168,1),(504,1)}
       126:{2,3,6}:{(90,1),(92,1),(168,1),(169,1),(367,1),(450,1)}
       127:{1,3,5,7}:{(91,1),(94,1),(152,1),(167,1),(170,1),(171,1),(248,1),(425,1)}
       128:{1,3,4,6}:{(91,1),(92,1),(95,1),(153,1),(168,1),(170,1),(171,1),(172,1),(249,1),(270,1),(272,1),(359,1),(367,1),(369,1),(448,1)}
       129:{1,3,5}:{(92,1),(93,1),(96,1),(169,1),(172,1)}
       130:{1,2,4,5}:{(93,1),(97,1),(155,1),(172,1),(173,1),(179,1),(255,1),(269,1),(274,1),(279,1),(358,1),(364,1),(372,1),(373,1),(443,1),(449,1),(499,1),(503,1)}
       131:{2,3,6}:{(94,1),(156,1),(170,1),(339,1),(424,1)}
       132:{2,3,5}:{(95,1),(157,1),(171,1),(176,1),(260,1),(358,1)}
       133:{2,4}:{(96,1),(172,1),(177,1)}
       134:{3,5}:{(97,1),(159,1),(177,1)}
       135:{2,4,5}:{(98,1),(160,1),(178,1),(179,1),(274,1),(279,1),(358,1)}
       136:{1,3,6,7}:{(99,1),(100,1),(113,1),(180,1),(181,1),(182,1),(382,1),(461,1),(513,1)}
       137:{1,2,5,7}:{(99,1),(101,1),(114,1),(182,1),(183,1),(192,1),(296,1),(318,1),(383,1),(385,1),(476,1),(520,1)}
       138:{2,4,6,7}:{(100,1),(104,1),(116,1),(181,1),(184,1),(185,1),(288,1),(540,1)}
       139:{2,3,5,7}:{(100,1),(101,1),(105,1),(117,1),(182,1),(184,1),(185,1),(186,1),(286,1),(289,1),(383,1),(520,1),(542,1),(548,1)}
       140:{2,4,7}:{(101,1),(102,1),(118,1),(186,1)}
       141:{1,3,4,7}:{(102,1),(103,1),(107,1),(119,1),(186,1),(187,1),(190,1),(291,1),(295,1),(392,1)}
       142:{3,5,7}:{(104,1),(121,1),(184,1),(188,1),(189,1),(550,1)}
       143:{4,7}:{(105,1),(122,1)}
       144:{3,5,7}:{(106,1),(109,1),(123,1),(186,1),(190,1)}
       145:{2,5,7}:{(107,1),(110,1),(124,1),(187,1),(192,1)}
       146:{4,5,7}:{(108,1),(193,1),(194,1)}
       147:{3,4,6,7}:{(108,1),(109,1),(190,1),(194,1),(195,1),(293,1)}
       148:{2,3,6,7}:{(109,1),(110,1),(191,1),(195,1),(196,1),(387,1)}
       149:{1,6,7}:{(110,1),(192,1),(461,1)}
       150:{2,4,7}:{(111,1),(112,1),(197,1),(199,1),(218,1)}
       151:{2,3,6}:{(111,1),(113,1),(199,1),(216,1),(300,1)}
       152:{1,4,5,7}:{(112,1),(115,1),(127,1),(198,1),(201,1),(202,1),(221,1),(306,1),(322,1)}
       153:{1,4,6}:{(112,1),(113,1),(116,1),(199,1),(202,1)}
       154:{1,3,5,6}:{(113,1),(114,1),(117,1),(129,1),(182,1),(200,1),(202,1),(203,1),(204,1),(283,1),(308,1),(310,1),(382,1),(404,1),(461,1),(477,1),(513,1),(541,1)}
       155:{1,2,4,6}:{(114,1),(118,1),(130,1),(183,1),(203,1),(204,1),(210,1),(309,1),(315,1),(317,1),(319,1),(414,1),(480,1),(518,1)}
       156:{2,4,6}:{(115,1),(120,1),(131,1),(201,1),(206,1)}
       157:{2,5}:{(116,1),(121,1),(202,1)}
       158:{2,4,6}:{(117,1),(122,1),(133,1),(185,1),(203,1),(207,1),(208,1),(521,1),(549,1)}
       159:{3,6}:{(118,1),(134,1),(186,1)}
       160:{2,4,6}:{(119,1),(124,1),(135,1),(187,1),(209,1),(210,1),(315,1)}
       161:{3,4,6,7}:{(120,1),(205,1),(211,1),(292,1),(327,1),(386,1)}
       162:{3,5,6}:{(120,1),(121,1),(206,1),(211,1),(212,1)}
       163:{4,5}:{(121,1),(122,1)}
       164:{3,4,6}:{(122,1),(123,1),(190,1),(213,1),(214,1)}
       165:{2,3,5,6}:{(123,1),(124,1),(191,1),(209,1),(214,1),(215,1),(297,1),(313,1),(387,1)}
       166:{1,5,6}:{(124,1),(192,1),(210,1),(404,1),(461,1)}
       167:{2,5,7}:{(125,1),(127,1),(216,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(128,1),(216,1),(217,1),(218,1),(412,1),(480,1)}
       169:{2,3,5}:{(126,1),(129,1),(217,1),(218,1),(320,1)}
       170:{1,3,6}:{(127,1),(131,1),(201,1),(216,1),(300,1),(461,1)}
       171:{1,3,5}:{(128,1),(132,1),(202,1),(217,1),(221,1),(301,1),(320,1),(404,1)}
       172:{1,4}:{(129,1),(133,1),(218,1)}
       173:{1,3,5}:{(130,1),(134,1),(204,1),(222,1),(223,1),(320,1),(408,1),(415,1),(519,1)}
       174:{2,3,6,7}:{(131,1),(205,1),(219,1),(224,1),(386,1),(460,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(206,1),(220,1),(224,1),(225,1),(312,1),(403,1),(410,1)}
       176:{2,4,5}:{(132,1),(133,1),(221,1),(225,1),(226,1)}
       177:{3,4}:{(133,1),(134,1)}
       178:{2,3,5}:{(134,1),(135,1),(209,1),(227,1),(228,1),(408,1)}
       179:{1,4,5}:{(135,1),(210,1),(228,1),(325,1),(404,1)}
       180:{2,3,6,7}:{(136,1),(151,1),(229,1),(230,1),(247,1),(267,1),(348,1),(349,1),(420,1),(424,1),(493,1)}
       181:{1,4,6,7}:{(136,1),(138,1),(153,1),(229,1),(231,1),(232,1),(334,1),(530,1)}
       182:{1,3,5,7}:{(136,1),(137,1),(139,1),(154,1),(230,1),(231,1),(232,1),(233,1),(337,1),(425,1)}
       183:{1,2,4,7}:{(137,1),(140,1),(155,1),(232,1),(233,1),(238,1),(336,1),(342,1),(345,1),(366,1),(451,1),(504,1),(532,1)}
       184:{2,5,7}:{(138,1),(142,1),(157,1),(231,1),(234,1),(547,1)}
       185:{2,4,7}:{(139,1),(143,1),(158,1),(232,1),(236,1),(551,1)}
       186:{3,7}:{(140,1),(159,1)}
       187:{2,4,7}:{(141,1),(145,1),(160,1),(237,1),(238,1),(342,1)}
       188:{3,5,6}:{(142,1),(234,1),(240,1),(339,1)}
       189:{4,5,7}:{(142,1),(143,1),(163,1),(240,1),(551,1),(552,1)}
       190:{3,4,7}:{(143,1),(144,1),(164,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(148,1),(165,1),(237,1),(242,1),(243,1),(245,1)}
       192:{1,5,7}:{(145,1),(149,1),(166,1),(238,1)}
       193:{4,5,6}:{(146,1),(240,1),(244,1),(552,1)}
       194:{3,5,7}:{(146,1),(147,1),(244,1),(245,1)}
       195:{2,4,6,7}:{(147,1),(148,1),(242,1),(245,1),(246,1),(343,1)}
       196:{1,3,6,7}:{(148,1),(149,1),(243,1),(246,1),(247,1),(348,1),(427,1)}
       197:{3,4,7}:{(150,1),(248,1),(249,1),(270,1),(434,1)}
       198:{2,4,5,7}:{(150,1),(152,1),(167,1),(248,1),(250,1),(251,1),(269,1),(351,1),(352,1),(366,1),(434,1)}
       199:{2,4,6}:{(150,1),(151,1),(153,1),(249,1),(251,1)}
       200:{2,3,5,6}:{(151,1),(154,1),(169,1),(230,1),(251,1),(252,1),(257,1),(266,1),(268,1),(330,1),(350,1),(354,1),(358,1),(365,1),(367,1),(420,1),(424,1),(432,1),(445,1),(493,1),(531,1)}
       201:{1,4,6}:{(152,1),(156,1),(170,1),(250,1),(254,1)}
       202:{1,5}:{(153,1),(157,1),(251,1)}
       203:{1,4,6}:{(154,1),(158,1),(172,1),(232,1),(252,1),(255,1),(503,1)}
       204:{1,3,6}:{(155,1),(159,1),(173,1),(233,1),(257,1),(365,1),(367,1),(533,1)}
       205:{2,4,6,7}:{(156,1),(161,1),(174,1),(253,1),(258,1),(276,1)}
       206:{2,5,6}:{(156,1),(157,1),(162,1),(254,1),(258,1)}
       207:{2,4,5}:{(157,1),(158,1),(163,1),(255,1),(260,1),(358,1),(547,1),(552,1)}
       208:{3,4,6}:{(158,1),(159,1),(177,1),(236,1),(260,1),(339,1),(533,1),(534,1)}
       209:{2,3,6}:{(159,1),(160,1),(178,1),(237,1),(262,1),(365,1)}
       210:{1,4,6}:{(160,1),(166,1),(179,1),(238,1),(262,1)}
       211:{3,5,7}:{(161,1),(162,1),(258,1),(263,1)}
       212:{4,5,6}:{(162,1),(163,1),(240,1),(263,1)}
       213:{3,4,5}:{(163,1),(164,1),(260,1),(264,1),(534,1)}
       214:{2,4,6}:{(164,1),(165,1),(242,1),(264,1),(265,1)}
       215:{1,3,5,6}:{(165,1),(166,1),(243,1),(262,1),(265,1),(266,1),(346,1),(362,1),(365,1),(427,1),(432,1)}
       216:{2,6}:{(167,1),(170,1)}
       217:{2,5}:{(168,1),(171,1)}
       218:{2,4}:{(169,1),(172,1),(270,1)}
       219:{1,3,6,7}:{(170,1),(174,1),(253,1),(267,1),(271,1),(349,1),(490,1)}
       220:{1,3,5,6}:{(170,1),(171,1),(175,1),(254,1),(268,1),(271,1),(272,1),(350,1),(367,1),(442,1),(448,1)}
       221:{1,4,5}:{(171,1),(172,1),(176,1),(269,1),(272,1),(351,1)}
       222:{1,3,4}:{(172,1),(173,1),(177,1),(270,1),(274,1),(446,1),(503,1),(534,1)}
       223:{2,3,5}:{(173,1),(257,1),(274,1),(275,1),(279,1),(358,1),(374,1),(449,1),(450,1)}
       224:{2,3,5,7}:{(174,1),(175,1),(258,1),(271,1),(276,1),(361,1),(441,1),(447,1)}
       225:{2,4,6}:{(175,1),(176,1),(272,1),(276,1),(277,1)}
       226:{3,4,5}:{(176,1),(177,1),(260,1),(277,1),(552,1)}
       227:{2,3,4}:{(177,1),(178,1),(274,1),(278,1),(446,1),(450,1)}
       228:{1,3,5}:{(178,1),(179,1),(262,1),(278,1),(279,1)}
       229:{2,4,6,7}:{(180,1),(181,1),(199,1),(280,1),(281,1),(282,1),(378,1),(515,1)}
       230:{2,3,5,7}:{(180,1),(182,1),(200,1),(281,1),(282,1),(286,1),(296,1),(318,1),(379,1),(383,1),(392,1),(394,1),(395,1),(409,1)}
       231:{1,5,7}:{(181,1),(184,1),(202,1),(281,1),(283,1),(541,1)}
       232:{1,4,7}:{(182,1),(185,1),(203,1),(282,1)}
       233:{1,3,7}:{(183,1),(186,1),(204,1),(286,1),(392,1),(409,1),(542,1)}
       234:{2,5,6}:{(184,1),(188,1),(283,1),(288,1)}
       235:{2,4,5,7}:{(184,1),(185,1),(189,1),(207,1),(284,1),(288,1),(289,1),(383,1)}
       236:{3,4,7}:{(185,1),(186,1),(208,1),(289,1),(542,1)}
       237:{2,3,7}:{(186,1),(187,1),(209,1),(291,1),(392,1)}
       238:{1,4,7}:{(187,1),(192,1),(210,1),(291,1)}
       239:{3,5,6,7}:{(188,1),(211,1),(287,1),(292,1),(386,1),(548,1)}
       240:{4,6}:{(188,1),(189,1)}
       241:{3,4,5,7}:{(189,1),(190,1),(194,1),(213,1),(289,1),(293,1),(294,1),(539,1),(550,1)}
       242:{2,4,7}:{(190,1),(191,1),(214,1),(295,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(196,1),(215,1),(291,1),(295,1),(296,1),(298,1),(392,1),(394,1)}
       244:{3,5,6}:{(193,1),(194,1),(293,1),(297,1),(550,1)}
       245:{2,5,7}:{(194,1),(195,1),(297,1),(298,1)}
       246:{1,4,6,7}:{(195,1),(196,1),(295,1),(298,1),(299,1),(390,1)}
       247:{2,6,7}:{(196,1),(296,1),(464,1)}
       248:{3,5,7}:{(197,1),(198,1),(300,1),(301,1),(320,1),(409,1)}
       249:{3,4,6}:{(197,1),(199,1),(300,1),(301,1),(396,1)}
       250:{2,4,6}:{(198,1),(201,1),(216,1),(300,1),(303,1),(396,1)}
       251:{2,5}:{(199,1),(202,1),(301,1)}
       252:{2,4,6}:{(200,1),(203,1),(218,1),(282,1),(304,1),(305,1),(396,1),(468,1),(478,1)}
       253:{1,4,6,7}:{(201,1),(205,1),(219,1),(302,1),(306,1),(322,1)}
       254:{1,5,6}:{(201,1),(202,1),(206,1),(303,1),(306,1)}
       255:{1,4,5}:{(202,1),(203,1),(207,1),(304,1),(308,1),(404,1),(541,1)}
       256:{1,3,4,6}:{(203,1),(204,1),(208,1),(222,1),(285,1),(305,1),(308,1),(309,1),(382,1)}
       257:{2,3,6}:{(204,1),(223,1),(286,1),(309,1),(310,1),(315,1),(480,1)}
       258:{2,5,7}:{(205,1),(206,1),(211,1),(306,1)}
       259:{2,4,5,6}:{(206,1),(207,1),(212,1),(225,1),(288,1),(307,1),(311,1),(312,1),(403,1),(518,1),(536,1),(549,1)}
       260:{3,5}:{(207,1),(208,1)}
       261:{2,3,4,6}:{(208,1),(209,1),(214,1),(227,1),(290,1),(309,1),(313,1),(314,1),(387,1),(475,1),(521,1),(540,1)}
       262:{1,3,6}:{(209,1),(210,1),(228,1),(291,1),(315,1)}
       263:{4,5,7}:{(211,1),(212,1),(292,1)}
       264:{2,4,5}:{(213,1),(214,1),(313,1),(316,1),(521,1)}
       265:{1,4,6}:{(214,1),(215,1),(295,1),(316,1),(317,1),(468,1)}
       266:{2,5,6}:{(215,1),(296,1),(315,1),(317,1),(406,1),(464,1)}
       267:{2,6,7}:{(216,1),(219,1),(318,1)}
       268:{2,5,6}:{(216,1),(217,1),(220,1),(318,1),(319,1),(480,1)}
       269:{2,4,5}:{(217,1),(218,1),(221,1),(319,1),(320,1)}
       270:{3,4}:{(218,1),(320,1)}
       271:{1,3,5,7}:{(219,1),(220,1),(224,1),(306,1),(318,1),(322,1),(395,1),(409,1),(476,1),(479,1)}
       272:{1,4,6}:{(220,1),(221,1),(225,1),(319,1),(322,1),(396,1)}
       273:{1,3,4,5}:{(221,1),(222,1),(226,1),(308,1),(320,1),(323,1),(324,1),(397,1),(411,1),(471,1),(519,1)}
       274:{2,4}:{(222,1),(223,1),(325,1)}
       275:{1,3,5}:{(223,1),(310,1),(325,1),(326,1),(404,1),(415,1)}
       276:{2,4,7}:{(224,1),(225,1),(322,1),(327,1)}
       277:{3,4,6}:{(225,1),(226,1),(312,1),(327,1),(549,1)}
       278:{1,3,4}:{(227,1),(228,1),(325,1),(328,1),(415,1)}
       279:{2,5}:{(228,1),(315,1),(328,1)}
       280:{3,4,6,7}:{(229,1),(249,1),(329,1),(332,1),(348,1),(349,1),(417,1),(420,1),(433,1),(434,1),(495,1)}
       281:{2,5,7}:{(229,1),(231,1),(251,1),(329,1),(330,1),(531,1)}
       282:{2,4,7}:{(230,1),(232,1),(252,1),(332,1),(433,1),(434,1)}
       283:{1,5,6}:{(231,1),(234,1),(330,1),(334,1)}
       284:{1,4,5,7}:{(231,1),(232,1),(235,1),(255,1),(331,1),(334,1),(335,1),(425,1)}
       285:{1,3,4,7}:{(232,1),(233,1),(236,1),(256,1),(332,1),(335,1),(336,1)}
       286:{2,3,7}:{(233,1),(257,1),(336,1),(337,1),(342,1),(504,1)}
       287:{2,5,6,7}:{(234,1),(239,1),(258,1),(333,1),(338,1),(543,1)}
       288:{2,4,6}:{(234,1),(235,1),(240,1),(334,1),(339,1),(424,1)}
       289:{3,5,7}:{(235,1),(236,1),(260,1),(339,1)}
       290:{2,3,4,7}:{(236,1),(237,1),(242,1),(261,1),(336,1),(340,1),(341,1),(489,1),(529,1)}
       291:{1,3,7}:{(237,1),(238,1),(262,1),(342,1)}
       292:{4,6,7}:{(239,1),(240,1),(263,1),(551,1)}
       293:{3,4,6}:{(240,1),(241,1),(244,1),(339,1),(343,1)}
       294:{2,4,5,7}:{(241,1),(242,1),(245,1),(264,1),(340,1),(343,1),(344,1),(529,1),(547,1)}
       295:{1,4,7}:{(242,1),(243,1),(265,1),(345,1),(433,1)}
       296:{2,5,7}:{(243,1),(247,1),(266,1),(342,1),(345,1)}
       297:{2,5,6}:{(244,1),(245,1),(343,1),(346,1),(547,1)}
       298:{1,5,7}:{(245,1),(246,1),(346,1),(347,1)}
       299:{2,4,6,7}:{(246,1),(247,1),(345,1),(347,1),(348,1),(430,1),(433,1)}
       300:{3,6}:{(248,1),(250,1)}
       301:{3,5}:{(249,1),(251,1),(351,1)}
       302:{2,4,6,7}:{(250,1),(253,1),(267,1),(349,1),(352,1),(366,1),(434,1)}
       303:{2,5,6}:{(250,1),(251,1),(254,1),(350,1),(352,1)}
       304:{2,4,5}:{(251,1),(252,1),(255,1),(351,1),(354,1),(358,1),(496,1),(531,1)}
       305:{3,4,6}:{(252,1),(270,1),(332,1),(354,1),(365,1),(367,1),(420,1),(446,1)}
       306:{1,5,7}:{(253,1),(254,1),(258,1),(352,1)}
       307:{1,4,5,6}:{(254,1),(255,1),(259,1),(272,1),(334,1),(353,1),(356,1),(357,1),(442,1),(498,1),(523,1)}
       308:{1,3,5}:{(255,1),(256,1),(260,1),(354,1),(358,1)}
       309:{2,4,6}:{(256,1),(257,1),(274,1),(336,1),(358,1),(359,1),(424,1)}
       310:{1,3,6}:{(257,1),(275,1),(337,1),(359,1),(360,1)}
       311:{2,4,5,7}:{(258,1),(259,1),(263,1),(276,1),(338,1),(356,1),(361,1),(441,1),(532,1),(543,1),(551,1)}
       312:{3,5,6}:{(259,1),(260,1),(277,1),(339,1),(361,1),(533,1)}
       313:{2,3,5}:{(260,1),(261,1),(264,1),(358,1),(362,1),(547,1)}
       314:{1,3,4,6}:{(261,1),(262,1),(265,1),(278,1),(341,1),(359,1),(362,1),(363,1),(365,1),(427,1),(444,1),(446,1),(495,1),(503,1),(530,1)}
       315:{2,6}:{(262,1),(279,1),(342,1)}
       316:{1,4,5}:{(264,1),(265,1),(362,1),(364,1),(496,1),(503,1)}
       317:{2,4,6}:{(265,1),(266,1),(345,1),(364,1),(365,1)}
       318:{2,5,7}:{(267,1),(268,1),(271,1),(366,1),(504,1)}
       319:{2,4,6}:{(268,1),(269,1),(272,1),(366,1),(367,1)}
       320:{3,5}:{(269,1),(270,1),(367,1)}
       321:{2,3,4}:{(270,1),(274,1),(368,1),(369,1),(374,1),(534,1)}
       322:{1,4,7}:{(271,1),(272,1),(276,1),(366,1),(434,1)}
       323:{1,3,4,6}:{(272,1),(273,1),(277,1),(357,1),(367,1),(370,1),(371,1),(435,1),(448,1),(498,1),(533,1)}
       324:{2,4,5}:{(273,1),(274,1),(358,1),(368,1),(371,1),(372,1),(449,1)}
       325:{1,4}:{(274,1),(275,1)}
       326:{1,2,5}:{(275,1),(279,1),(360,1),(373,1),(449,1)}
       327:{3,4,7}:{(276,1),(277,1),(361,1),(551,1)}
       328:{2,4}:{(278,1),(279,1),(374,1)}
       329:{3,5,7}:{(280,1),(281,1),(301,1),(375,1),(376,1),(516,1)}
       330:{2,5,6}:{(281,1),(283,1),(375,1),(378,1)}
       331:{2,4,5,7}:{(281,1),(282,1),(284,1),(304,1),(376,1),(378,1),(379,1),(383,1)}
       332:{3,4,7}:{(282,1),(305,1),(379,1),(392,1),(409,1)}
       333:{1,5,6,7}:{(283,1),(287,1),(306,1),(377,1),(381,1),(535,1)}
       334:{1,4,6}:{(283,1),(284,1),(288,1),(378,1),(382,1),(461,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(289,1),(308,1),(379,1),(382,1),(383,1)}
       336:{2,4,7}:{(285,1),(286,1),(309,1),(383,1),(384,1)}
       337:{1,3,7}:{(286,1),(310,1),(384,1),(385,1)}
       338:{2,4,6,7}:{(287,1),(288,1),(292,1),(311,1),(381,1),(386,1),(460,1)}
       339:{3,6}:{(288,1),(289,1)}
       340:{2,3,5,7}:{(289,1),(290,1),(294,1),(313,1),(383,1),(387,1),(388,1)}
       341:{1,3,4,7}:{(290,1),(291,1),(295,1),(314,1),(384,1),(388,1),(389,1),(392,1),(463,1),(467,1),(514,1)}
       342:{2,7}:{(291,1),(315,1)}
       343:{2,4,6}:{(293,1),(294,1),(297,1),(387,1),(390,1)}
       344:{1,4,5,7}:{(294,1),(295,1),(298,1),(316,1),(388,1),(390,1),(391,1),(514,1),(541,1)}
       345:{2,4,7}:{(295,1),(296,1),(317,1),(392,1)}
       346:{1,5,6}:{(297,1),(298,1),(390,1),(393,1),(541,1)}
       347:{2,5,7}:{(298,1),(299,1),(393,1),(394,1)}
       348:{3,6,7}:{(299,1),(392,1),(394,1),(466,1)}
       349:{3,6,7}:{(300,1),(302,1),(395,1),(409,1)}
       350:{3,5,6}:{(300,1),(301,1),(303,1),(395,1),(396,1)}
       351:{4,5}:{(301,1),(396,1)}
       352:{2,5,7}:{(302,1),(303,1),(306,1),(395,1)}
       353:{2,4,5,6}:{(303,1),(304,1),(307,1),(319,1),(378,1),(396,1),(398,1),(399,1),(403,1),(452,1),(470,1),(506,1)}
       354:{3,5}:{(304,1),(305,1)}
       355:{2,3,4,6}:{(305,1),(309,1),(321,1),(380,1),(400,1),(401,1),(407,1),(410,1),(457,1),(470,1),(478,1),(515,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(311,1),(322,1),(381,1),(398,1),(402,1),(476,1),(517,1),(535,1)}
       357:{1,3,5,6}:{(307,1),(308,1),(312,1),(323,1),(382,1),(399,1),(402,1),(403,1)}
       358:{2,5}:{(308,1),(309,1),(404,1)}
       359:{1,4,6}:{(309,1),(310,1),(325,1),(384,1),(404,1),(461,1)}
       360:{1,2,6}:{(310,1),(315,1),(326,1),(385,1),(480,1)}
       361:{3,5,7}:{(311,1),(312,1),(327,1),(386,1),(542,1)}
       362:{1,3,5}:{(313,1),(314,1),(316,1),(404,1),(406,1),(408,1),(516,1),(541,1)}
       363:{2,4,6}:{(314,1),(315,1),(328,1),(389,1),(406,1),(407,1),(464,1),(478,1)}
       364:{2,4,5}:{(316,1),(317,1),(406,1),(408,1),(478,1)}
       365:{3,6}:{(317,1),(392,1),(408,1)}
       366:{2,4,7}:{(318,1),(319,1),(322,1),(409,1)}
       367:{3,6}:{(319,1),(320,1),(409,1)}
       368:{2,3,5}:{(320,1),(321,1),(324,1),(410,1),(411,1),(519,1)}
       369:{1,3,4}:{(321,1),(325,1),(411,1),(412,1),(415,1)}
       370:{1,3,4,7}:{(322,1),(323,1),(327,1),(402,1),(409,1),(413,1),(469,1),(479,1),(517,1),(542,1)}
       371:{2,4,6}:{(323,1),(324,1),(403,1),(410,1),(413,1),(414,1),(480,1)}
       372:{1,4,5}:{(324,1),(325,1),(404,1),(411,1),(414,1)}
       373:{1,2,4}:{(325,1),(326,1),(328,1),(412,1),(415,1)}
       374:{2,3}:{(328,1),(415,1)}
       375:{3,5,6}:{(329,1),(330,1),(417,1),(420,1)}
       376:{4,5,7}:{(329,1),(351,1),(417,1),(433,1),(434,1),(496,1)}
       377:{2,5,6,7}:{(330,1),(333,1),(352,1),(416,1),(419,1),(522,1)}
       378:{2,4,6}:{(330,1),(331,1),(334,1),(417,1),(420,1),(424,1)}
       379:{3,5,7}:{(331,1),(332,1),(354,1),(420,1)}
       380:{2,3,4,7}:{(332,1),(336,1),(355,1),(421,1),(422,1),(429,1),(447,1),(494,1),(497,1)}
       381:{1,4,6,7}:{(333,1),(334,1),(338,1),(356,1),(419,1),(423,1),(490,1)}
       382:{1,3,6}:{(334,1),(335,1),(339,1),(420,1),(424,1)}
       383:{2,5,7}:{(335,1),(336,1),(358,1),(424,1),(425,1)}
       384:{1,4,7}:{(336,1),(337,1),(359,1),(425,1)}
       385:{1,2,7}:{(337,1),(342,1),(360,1),(504,1)}
       386:{3,6,7}:{(338,1),(339,1),(361,1)}
       387:{2,3,6}:{(339,1),(340,1),(343,1),(424,1),(427,1)}
       388:{1,3,5,7}:{(340,1),(341,1),(344,1),(362,1),(425,1),(427,1),(428,1),(431,1)}
       389:{2,4,7}:{(341,1),(342,1),(363,1),(428,1),(429,1)}
       390:{1,4,6}:{(343,1),(344,1),(346,1),(427,1),(430,1)}
       391:{2,4,5,7}:{(344,1),(345,1),(347,1),(364,1),(428,1),(430,1),(431,1),(433,1),(494,1),(496,1),(531,1)}
       392:{3,7}:{(345,1),(365,1)}
       393:{2,5,6}:{(346,1),(347,1),(430,1),(432,1),(531,1)}
       394:{3,5,7}:{(347,1),(348,1),(432,1),(433,1)}
       395:{3,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{4,6}:{(350,1),(351,1),(434,1)}
       397:{3,4,5}:{(351,1),(354,1),(435,1),(436,1),(446,1)}
       398:{2,4,5,7}:{(352,1),(353,1),(356,1),(366,1),(419,1),(434,1),(437,1),(441,1),(481,1),(497,1),(522,1)}
       399:{3,5,6}:{(353,1),(354,1),(367,1),(420,1),(435,1),(437,1)}
       400:{2,3,5}:{(354,1),(355,1),(358,1),(436,1),(439,1),(531,1)}
       401:{1,3,4,6}:{(355,1),(359,1),(369,1),(422,1),(439,1),(440,1),(444,1),(448,1),(487,1),(498,1),(503,1),(530,1),(533,1),(534,1),(546,1)}
       402:{1,3,5,7}:{(356,1),(357,1),(361,1),(370,1),(423,1),(437,1),(441,1)}
       403:{2,5,6}:{(357,1),(358,1),(371,1),(424,1),(441,1),(442,1)}
       404:{1,5}:{(358,1),(359,1)}
       405:{1,2,4,6}:{(359,1),(360,1),(363,1),(373,1),(426,1),(440,1),(443,1),(444,1),(491,1),(503,1),(530,1)}
       406:{2,5}:{(362,1),(363,1)}
       407:{2,3,6}:{(363,1),(365,1),(374,1),(429,1),(444,1),(445,1)}
       408:{3,5}:{(364,1),(365,1),(446,1)}
       409:{3,7}:{(366,1),(367,1)}
       410:{2,3,6}:{(367,1),(368,1),(371,1),(447,1),(448,1),(533,1)}
       411:{1,3,5}:{(368,1),(369,1),(372,1),(448,1),(449,1)}
       412:{2,4}:{(369,1),(449,1),(450,1)}
       413:{2,4,7}:{(370,1),(371,1),(441,1),(447,1),(451,1),(504,1)}
       414:{1,4,6}:{(371,1),(372,1),(442,1),(448,1),(451,1)}
       415:{1,3}:{(373,1),(374,1),(450,1)}
       416:{3,5,6,7}:{(375,1),(377,1),(395,1),(453,1),(456,1),(505,1)}
       417:{4,6}:{(375,1),(376,1)}
       418:{3,4,5,7}:{(376,1),(379,1),(397,1),(454,1),(455,1),(467,1),(469,1),(505,1),(516,1)}
       419:{2,4,6,7}:{(377,1),(378,1),(381,1),(398,1),(453,1),(456,1),(460,1)}
       420:{3,6}:{(378,1),(379,1)}
       421:{2,3,5,7}:{(379,1),(380,1),(383,1),(400,1),(455,1),(457,1),(458,1)}
       422:{1,3,4,7}:{(380,1),(384,1),(401,1),(458,1),(459,1),(463,1),(479,1),(514,1),(517,1),(539,1),(542,1)}
       423:{1,3,6,7}:{(381,1),(382,1),(386,1),(402,1),(456,1),(460,1)}
       424:{2,6}:{(382,1),(383,1),(461,1)}
       425:{1,5,7}:{(383,1),(384,1),(404,1),(461,1)}
       426:{1,2,4,7}:{(384,1),(385,1),(389,1),(405,1),(459,1),(462,1),(463,1),(514,1)}
       427:{1,3,6}:{(387,1),(388,1),(390,1),(461,1),(464,1),(466,1)}
       428:{2,5,7}:{(388,1),(389,1),(406,1),(464,1)}
       429:{2,3,7}:{(389,1),(392,1),(407,1),(463,1)}
       430:{2,4,6}:{(390,1),(391,1),(393,1),(464,1),(466,1),(468,1)}
       431:{3,5,7}:{(391,1),(392,1),(408,1),(466,1),(467,1),(516,1)}
       432:{3,5,6}:{(393,1),(394,1),(466,1),(468,1),(516,1)}
       433:{4,7}:{(394,1),(468,1)}
       434:{4,7}:{(395,1),(396,1)}
       435:{3,4,6}:{(396,1),(397,1),(399,1),(469,1),(470,1)}
       436:{2,4,5}:{(397,1),(400,1),(470,1),(471,1),(478,1)}
       437:{3,5,7}:{(398,1),(399,1),(409,1),(456,1),(469,1)}
       438:{2,3,5,6}:{(399,1),(400,1),(403,1),(410,1),(457,1),(470,1),(472,1),(473,1),(506,1)}
       439:{1,3,5}:{(400,1),(401,1),(404,1),(471,1),(474,1),(519,1),(541,1),(550,1)}
       440:{2,4,6}:{(401,1),(412,1),(459,1),(474,1),(475,1),(480,1),(511,1),(521,1)}
       441:{2,5,7}:{(402,1),(403,1),(413,1),(460,1),(476,1)}
       442:{1,5,6}:{(403,1),(404,1),(414,1),(461,1),(476,1)}
       443:{1,2,5}:{(404,1),(405,1),(406,1),(474,1),(477,1),(541,1)}
       444:{1,3,6}:{(405,1),(407,1),(415,1),(463,1),(475,1),(477,1)}
       445:{2,3,5}:{(406,1),(407,1),(408,1),(477,1),(478,1)}
       446:{3,4}:{(408,1),(478,1)}
       447:{2,3,7}:{(409,1),(410,1),(413,1),(479,1),(542,1)}
       448:{1,3,6}:{(410,1),(411,1),(414,1),(479,1),(480,1)}
       449:{2,5}:{(411,1),(412,1),(480,1)}
       450:{2,3}:{(412,1),(415,1)}
       451:{1,4,7}:{(413,1),(414,1),(476,1),(479,1)}
       452:{4,5,6}:{(417,1),(481,1),(482,1),(496,1)}
       453:{4,6,7}:{(416,1),(417,1),(434,1),(481,1)}
       454:{3,4,6}:{(417,1),(418,1),(420,1),(482,1),(484,1)}
       455:{2,4,5,7}:{(418,1),(421,1),(436,1),(484,1),(485,1),(494,1),(497,1),(522,1),(531,1)}
       456:{3,6,7}:{(419,1),(420,1),(437,1)}
       457:{2,3,6}:{(420,1),(421,1),(424,1),(484,1),(487,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(425,1),(439,1),(485,1),(487,1),(488,1),(526,1)}
       459:{2,4,7}:{(422,1),(440,1),(488,1),(489,1),(504,1)}
       460:{2,6,7}:{(423,1),(424,1),(441,1),(490,1)}
       461:{1,6}:{(424,1),(425,1)}
       462:{1,2,5,7}:{(425,1),(426,1),(428,1),(443,1),(488,1),(491,1),(492,1)}
       463:{1,3,7}:{(426,1),(429,1),(444,1),(489,1)}
       464:{2,6}:{(427,1),(428,1)}
       465:{2,3,5,7}:{(428,1),(429,1),(431,1),(445,1),(492,1),(493,1),(494,1),(531,1)}
       466:{3,6}:{(430,1),(431,1)}
       467:{3,4,7}:{(431,1),(433,1),(446,1),(494,1),(495,1)}
       468:{4,6}:{(432,1),(433,1),(496,1)}
       469:{3,4,7}:{(434,1),(435,1),(437,1),(497,1)}
       470:{2,4,6}:{(435,1),(436,1),(438,1),(497,1),(498,1)}
       471:{1,4,5}:{(436,1),(439,1),(498,1),(499,1),(503,1),(552,1)}
       472:{2,3,5,7}:{(437,1),(438,1),(441,1),(447,1),(486,1),(497,1),(500,1),(522,1)}
       473:{1,3,5,6}:{(438,1),(439,1),(442,1),(448,1),(487,1),(498,1),(500,1),(501,1),(523,1),(533,1),(544,1)}
       474:{2,5}:{(439,1),(440,1)}
       475:{2,3,6}:{(440,1),(444,1),(450,1),(489,1),(502,1),(533,1)}
       476:{1,5,7}:{(441,1),(442,1),(451,1),(490,1)}
       477:{1,3,5}:{(443,1),(444,1),(445,1),(502,1),(503,1)}
       478:{2,4}:{(445,1),(446,1),(503,1)}
       479:{1,3,7}:{(447,1),(448,1),(451,1),(504,1)}
       480:{2,6}:{(448,1),(449,1),(504,1)}
       481:{4,5,7}:{(452,1),(453,1),(505,1)}
       482:{3,5,6}:{(452,1),(454,1),(505,1),(506,1),(516,1)}
       483:{3,4,6,7}:{(453,1),(454,1),(456,1),(469,1),(505,1),(507,1)}
       484:{2,4,6}:{(454,1),(455,1),(457,1),(506,1),(508,1)}
       485:{1,4,5,7}:{(455,1),(458,1),(471,1),(508,1),(509,1),(514,1),(517,1),(535,1),(541,1)}
       486:{2,3,6,7}:{(456,1),(457,1),(460,1),(472,1),(507,1),(510,1)}
       487:{1,3,6}:{(457,1),(458,1),(461,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(458,1),(459,1),(474,1),(511,1)}
       489:{2,3,7}:{(459,1),(463,1),(475,1),(542,1)}
       490:{1,6,7}:{(460,1),(461,1),(476,1)}
       491:{1,2,6}:{(461,1),(462,1),(464,1),(511,1),(513,1)}
       492:{1,3,5,7}:{(462,1),(463,1),(465,1),(477,1),(512,1),(513,1),(514,1),(541,1)}
       493:{2,3,6}:{(464,1),(465,1),(466,1),(513,1),(515,1)}
       494:{2,4,7}:{(465,1),(467,1),(478,1),(514,1),(515,1)}
       495:{3,4,6}:{(466,1),(467,1),(468,1),(515,1),(516,1)}
       496:{4,5}:{(468,1),(516,1)}
       497:{2,4,7}:{(469,1),(470,1),(472,1),(517,1)}
       498:{1,4,6}:{(470,1),(471,1),(473,1),(517,1),(518,1),(549,1)}
       499:{2,4,5}:{(471,1),(474,1),(518,1),(519,1),(521,1)}
       500:{1,3,5,7}:{(472,1),(473,1),(476,1),(479,1),(510,1),(517,1),(520,1),(535,1),(542,1),(548,1)}
       501:{2,5,6}:{(473,1),(474,1),(480,1),(511,1),(518,1),(520,1)}
       502:{2,3,5}:{(474,1),(475,1),(477,1),(519,1),(521,1)}
       503:{1,4}:{(477,1),(478,1),(521,1)}
       504:{2,7}:{(479,1),(480,1)}
       505:{3,5,7}:{(481,1),(482,1),(483,1),(522,1)}
       506:{2,5,6}:{(482,1),(484,1),(522,1),(523,1),(531,1)}
       507:{2,4,6,7}:{(483,1),(484,1),(486,1),(497,1),(522,1),(524,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(523,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(488,1),(499,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       510:{1,3,6,7}:{(486,1),(487,1),(490,1),(500,1),(524,1),(527,1),(545,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(492,1),(502,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,3,6}:{(491,1),(492,1),(493,1),(528,1),(530,1)}
       514:{1,4,7}:{(492,1),(494,1),(503,1),(529,1),(530,1)}
       515:{2,4,6}:{(493,1),(494,1),(495,1),(530,1),(531,1)}
       516:{3,5}:{(495,1),(496,1),(531,1)}
       517:{1,4,7}:{(497,1),(498,1),(500,1),(532,1),(551,1)}
       518:{2,4,6}:{(498,1),(499,1),(501,1),(532,1),(533,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,5,7}:{(500,1),(501,1),(504,1),(527,1),(532,1)}
       521:{2,4}:{(502,1),(503,1),(534,1)}
       522:{2,5,7}:{(505,1),(506,1),(507,1),(535,1)}
       523:{1,5,6}:{(506,1),(508,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(507,1),(508,1),(510,1),(517,1),(535,1),(537,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(509,1),(519,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(510,1),(511,1),(520,1)}
       528:{2,3,6}:{(511,1),(512,1),(513,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(514,1),(521,1),(539,1),(540,1)}
       530:{1,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(516,1),(541,1)}
       532:{2,4,7}:{(517,1),(518,1),(520,1),(542,1)}
       533:{3,6}:{(518,1),(519,1),(542,1)}
       534:{3,4}:{(519,1),(521,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 892 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 893 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 894 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

 895 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

 896 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 897 :   0:{1,2,5,6,7}:{(2,1),(3,1),(38,1),(44,1),(76,1),(79,1),(88,1),(113,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(38,1),(46,1),(113,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(23,1),(28,1),(57,1),(66,1),(92,1),(101,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(24,1),(97,1),(108,1),(131,1),(135,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(38,1),(71,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(11,1),(12,1),(87,1),(112,1),(121,1)}
         7:{1,2,4,5,7}:{(3,1),(12,1),(14,1),(15,1),(38,1),(42,1),(78,1),(79,1),(89,1),(114,1),(119,1),(121,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(116,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(12,1),(17,1),(18,1),(38,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(150,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,4,5,7}:{(6,1),(9,1),(20,1),(22,1),(23,1),(57,1)}
        13:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(21,1),(23,1),(24,1),(26,1),(54,1)}
        14:{1,2,4,5,6}:{(7,1),(22,1),(25,1),(55,1),(60,1),(97,1),(98,1),(103,1),(108,1),(131,1),(135,1),(137,1),(141,1),(143,1),(147,1),(163,1),(174,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(110,1),(133,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(96,1),(135,1)}
        17:{2,4,5,6}:{(9,1),(22,1),(29,1),(55,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(24,1),(31,1),(32,1),(62,1),(65,1),(95,1),(96,1),(134,1),(162,1),(165,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(33,1),(34,1),(38,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(130,1)}
        22:{1,4,5,6}:{(12,1),(17,1),(33,1),(36,1),(76,1),(87,1),(112,1),(154,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(18,1),(34,1),(36,1),(38,1)}
        24:{2,4,6,7}:{(13,1),(16,1),(38,1),(39,1),(42,1),(75,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(40,1),(41,1),(116,1),(122,1),(128,1),(148,1),(160,1),(161,1),(170,1)}
        26:{1,3,4,7}:{(15,1),(40,1),(42,1),(121,1),(130,1),(150,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(43,1),(119,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(39,1),(43,1),(44,1),(116,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(150,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(38,1),(46,1),(47,1),(48,1),(170,1),(172,1)}
        32:{1,3,4,6,7}:{(19,1),(39,1),(48,1),(49,1),(80,1),(85,1),(87,1),(116,1),(121,1),(128,1),(130,1),(153,1),(171,1)}
        33:{2,4,5,6}:{(20,1),(22,1),(50,1),(55,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(50,1)}
        35:{2,3,4,6,7}:{(21,1),(24,1),(52,1),(53,1),(62,1),(69,1),(91,1),(96,1),(111,1),(146,1),(165,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(29,1),(50,1),(54,1),(55,1),(166,1)}
        37:{1,3,4,5,7}:{(23,1),(26,1),(30,1),(51,1),(54,1),(56,1),(59,1),(67,1),(93,1),(99,1),(110,1),(133,1),(140,1),(166,1)}
        38:{2,5,7}:{(23,1),(24,1),(55,1),(57,1)}
        39:{1,4,6,7}:{(24,1),(28,1),(57,1),(63,1),(97,1)}
        40:{1,3,4,6}:{(25,1),(26,1),(59,1),(60,1),(137,1),(146,1),(162,1)}
        41:{2,3,5,6}:{(25,1),(27,1),(55,1),(60,1),(61,1),(96,1),(102,1),(135,1),(141,1),(144,1)}
        42:{2,4,7}:{(26,1),(27,1),(60,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(57,1),(61,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(135,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(55,1),(65,1),(66,1),(96,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(134,1),(163,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(57,1),(66,1),(67,1),(68,1),(110,1),(166,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(135,1),(165,1)}
        50:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        51:{3,4,5,7}:{(34,1),(70,1),(72,1),(130,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(38,1),(71,1),(72,1),(73,1),(161,1),(172,1)}
        53:{1,3,4,6,7}:{(35,1),(39,1),(73,1),(74,1),(80,1),(85,1),(112,1),(116,1),(121,1),(148,1),(150,1),(153,1),(171,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(45,1),(70,1),(75,1),(87,1),(112,1),(116,1),(128,1),(148,1)}
        55:{2,5,6}:{(36,1),(38,1),(75,1),(76,1),(172,1)}
        56:{2,4,5,7}:{(37,1),(38,1),(42,1),(75,1),(77,1),(78,1),(81,1),(119,1),(156,1),(172,1)}
        57:{1,5,7}:{(38,1),(39,1),(76,1)}
        58:{1,2,4,6,7}:{(39,1),(44,1),(49,1),(74,1),(79,1),(80,1),(86,1),(117,1),(121,1),(126,1),(151,1),(171,1)}
        59:{1,3,4,5}:{(40,1),(81,1),(122,1),(154,1),(159,1),(161,1),(170,1)}
        60:{2,4,6}:{(40,1),(41,1),(42,1),(81,1),(83,1)}
        61:{1,3,5,6}:{(41,1),(43,1),(76,1),(83,1),(84,1),(116,1),(122,1),(125,1)}
        62:{2,3,4,7}:{(42,1),(77,1),(82,1),(85,1),(127,1),(130,1),(150,1),(156,1)}
        63:{1,4,7}:{(42,1),(43,1),(83,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(86,1),(119,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(76,1),(87,1),(88,1),(116,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(121,1),(154,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(172,1)}
        69:{2,3,6,7}:{(49,1),(80,1),(90,1),(127,1),(128,1),(152,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(91,1),(92,1),(96,1)}
        72:{2,4,5,7}:{(51,1),(52,1),(91,1),(93,1),(111,1),(147,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(57,1),(92,1),(93,1),(94,1),(133,1),(166,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(106,1),(131,1),(134,1),(135,1),(165,1)}
        75:{2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1),(135,1)}
        76:{1,5,6}:{(55,1),(57,1),(97,1),(174,1)}
        77:{2,3,5,7}:{(56,1),(62,1),(96,1),(99,1),(102,1),(110,1),(133,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(63,1),(97,1),(99,1),(103,1),(167,1),(174,1)}
        79:{1,2,5,7}:{(57,1),(58,1),(68,1),(94,1),(98,1),(101,1),(174,1)}
        80:{1,3,6,7}:{(58,1),(69,1),(95,1),(101,1),(107,1),(136,1),(145,1),(164,1)}
        81:{2,4,5}:{(59,1),(60,1),(102,1),(103,1),(141,1),(169,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(96,1),(102,1),(104,1),(144,1),(146,1),(162,1),(165,1),(169,1)}
        83:{1,4,6}:{(60,1),(61,1),(63,1),(103,1)}
        84:{1,2,5,6}:{(61,1),(64,1),(105,1),(135,1),(141,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(99,1),(104,1),(106,1),(107,1),(145,1),(167,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(135,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(101,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,3,5,6}:{(71,1),(73,1),(76,1),(112,1),(113,1),(116,1),(148,1)}
        93:{1,4,5,7}:{(72,1),(73,1),(112,1),(114,1),(121,1),(154,1)}
        94:{2,5,7}:{(73,1),(74,1),(113,1),(172,1)}
        95:{2,3,6,7}:{(74,1),(80,1),(115,1),(127,1),(148,1),(152,1)}
        96:{2,3,6}:{(75,1),(77,1),(116,1),(128,1),(148,1)}
        97:{1,4,6}:{(75,1),(76,1),(78,1),(116,1)}
        98:{1,2,5,6}:{(76,1),(79,1),(88,1),(113,1),(117,1),(118,1),(151,1),(172,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(85,1),(116,1),(119,1),(122,1)}
       100:{1,2,4,5,7}:{(78,1),(79,1),(86,1),(89,1),(114,1),(117,1),(119,1),(120,1),(121,1),(123,1),(154,1),(156,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(90,1),(115,1),(118,1),(121,1)}
       102:{2,3,5}:{(81,1),(82,1),(122,1),(161,1),(170,1),(172,1)}
       103:{1,4,5}:{(81,1),(83,1),(122,1),(173,1)}
       104:{1,3,4,6}:{(82,1),(83,1),(85,1),(116,1),(122,1),(124,1),(125,1),(159,1),(160,1),(171,1),(173,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(86,1),(123,1),(124,1),(125,1)}
       106:{2,4,7}:{(85,1),(119,1),(124,1),(127,1)}
       107:{1,3,7}:{(86,1),(125,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(118,1),(128,1),(129,1),(152,1),(161,1),(172,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(121,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,5,6}:{(92,1),(94,1),(131,1),(135,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(131,1),(133,1),(134,1),(163,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(101,1),(132,1),(133,1),(134,1)}
       116:{1,3,6}:{(96,1),(97,1),(99,1),(135,1)}
       117:{1,2,4,6}:{(97,1),(98,1),(100,1),(108,1),(131,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,3,5,6}:{(98,1),(101,1),(109,1),(132,1),(136,1),(137,1),(164,1),(166,1),(174,1)}
       119:{2,5,7}:{(99,1),(106,1),(135,1),(141,1)}
       120:{1,3,5,7}:{(100,1),(107,1),(110,1),(133,1),(136,1),(139,1),(140,1),(142,1),(166,1)}
       121:{1,4,7}:{(101,1),(111,1),(134,1),(137,1)}
       122:{1,3,5}:{(102,1),(103,1),(104,1),(141,1),(174,1)}
       123:{1,2,4,5}:{(103,1),(105,1),(141,1),(142,1),(169,1)}
       124:{2,4,6}:{(104,1),(106,1),(135,1),(141,1),(144,1),(169,1)}
       125:{1,3,6}:{(105,1),(107,1),(142,1),(144,1)}
       126:{1,2,4,7}:{(106,1),(138,1),(143,1),(145,1),(167,1)}
       127:{2,3,7}:{(106,1),(107,1),(144,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(137,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{2,3,5,6}:{(113,1),(115,1),(118,1),(148,1),(149,1),(152,1),(170,1),(172,1)}
       133:{3,5,7}:{(114,1),(148,1),(150,1),(170,1)}
       134:{2,4,7}:{(115,1),(121,1),(149,1),(150,1)}
       135:{2,6}:{(116,1),(119,1)}
       136:{1,3,6}:{(117,1),(120,1),(128,1),(148,1),(152,1)}
       137:{1,4,6}:{(118,1),(121,1),(129,1),(149,1),(154,1)}
       138:{1,2,5,7}:{(119,1),(126,1),(151,1),(155,1),(157,1)}
       139:{2,3,5,7}:{(119,1),(120,1),(127,1),(152,1),(155,1),(156,1),(158,1),(172,1)}
       140:{1,3,4,7}:{(120,1),(121,1),(130,1),(150,1),(153,1),(156,1),(159,1)}
       141:{2,5}:{(122,1),(124,1)}
       142:{1,3,5}:{(123,1),(125,1),(158,1),(159,1)}
       143:{1,2,4,6}:{(124,1),(126,1),(151,1),(157,1),(160,1),(171,1),(173,1)}
       144:{2,3,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(154,1),(161,1),(172,1)}
       148:{3,6}:{(131,1),(133,1)}
       149:{2,4,6}:{(132,1),(134,1),(137,1),(162,1),(163,1)}
       150:{3,4,7}:{(133,1),(134,1),(162,1)}
       151:{1,2,6}:{(135,1),(138,1),(164,1)}
       152:{2,3,6}:{(135,1),(136,1),(139,1),(164,1),(165,1)}
       153:{1,3,4,6}:{(136,1),(137,1),(140,1),(146,1),(162,1),(165,1),(166,1)}
       154:{1,4,5}:{(137,1),(147,1),(163,1),(166,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(145,1),(164,1),(167,1),(168,1),(174,1)}
       156:{2,4,7}:{(139,1),(140,1),(165,1),(167,1),(169,1)}
       157:{1,2,5}:{(141,1),(143,1),(168,1),(174,1)}
       158:{2,3,5}:{(141,1),(142,1),(144,1),(168,1),(169,1)}
       159:{1,3,4}:{(142,1),(169,1)}
       160:{1,3,6}:{(143,1),(144,1),(145,1),(168,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(149,1),(154,1),(170,1),(172,1)}
       164:{1,3,6}:{(151,1),(152,1),(155,1),(171,1)}
       165:{2,4,6}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       166:{1,3,5}:{(153,1),(154,1),(161,1),(170,1),(172,1)}
       167:{1,4,7}:{(155,1),(156,1),(171,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(160,1),(173,1)}
       169:{2,4}:{(158,1),(159,1),(173,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,5}:{(165,1),(166,1),(174,1)}
       173:{1,4}:{(168,1),(169,1)}
       174:{1,5}:{(171,1),(172,1)}

 898 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 899 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 900 :   0:{1,2,6,7}:{(3,1),(5,1),(163,1),(246,1),(305,1),(314,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(83,1),(139,1),(159,1),(163,1),(223,1),(234,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(28,1),(31,1),(80,1),(83,1),(135,1),(147,1),(223,1),(241,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(119,1),(265,1),(342,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(52,1),(98,1),(119,1),(176,1),(265,1),(267,1),(342,1),(395,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(16,1),(120,1),(183,1),(203,1),(276,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(16,1),(17,1),(54,1),(117,1),(191,1),(274,1)}
         7:{1,3,5}:{(2,1),(15,1),(17,1),(18,1),(179,1),(283,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(251,1),(298,1),(314,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(88,1),(132,1),(165,1),(216,1),(221,1),(234,1),(251,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(151,1),(163,1),(221,1),(314,1),(323,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(33,1),(65,1),(69,1),(71,1),(83,1),(132,1),(151,1),(163,1),(221,1),(234,1),(244,1),(313,1),(323,1),(380,1),(382,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(27,1),(29,1),(81,1),(372,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(27,1),(29,1),(32,1),(138,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(28,1),(29,1),(307,1)}
        15:{1,3,4}:{(7,1),(31,1),(307,1),(322,1)}
        16:{1,2,4,7}:{(5,1),(6,1),(29,1),(32,1),(84,1),(160,1),(235,1),(312,1)}
        17:{1,3,6}:{(6,1),(7,1),(32,1),(33,1),(313,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(83,1),(147,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(35,1),(36,1),(174,1),(208,1),(292,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(36,1),(37,1),(40,1),(57,1),(90,1),(92,1),(121,1),(174,1),(208,1),(210,1),(292,1),(360,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(36,1),(39,1),(125,1),(175,1),(258,1),(276,1)}
        22:{1,2,4,6}:{(9,1),(37,1),(38,1),(39,1),(40,1),(94,1),(256,1),(274,1),(331,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(35,1),(41,1),(42,1),(44,1),(107,1),(356,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(36,1),(42,1),(44,1),(56,1),(97,1),(108,1),(120,1),(175,1),(276,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(37,1),(43,1),(44,1),(45,1),(286,1),(401,1)}
        26:{1,3,4,5}:{(15,1),(48,1),(49,1),(52,1),(103,1),(106,1),(196,1),(207,1),(283,1),(291,1)}
        27:{1,5,7}:{(12,1),(42,1),(50,1),(395,1)}
        28:{1,4,5}:{(14,1),(43,1),(52,1),(176,1),(395,1)}
        29:{1,4,7}:{(13,1),(14,1),(44,1)}
        30:{1,3,4,6}:{(14,1),(15,1),(17,1),(45,1),(52,1),(53,1),(54,1),(119,1)}
        31:{2,4}:{(15,1),(18,1),(55,1)}
        32:{1,3,7}:{(16,1),(17,1),(56,1),(347,1)}
        33:{2,3,6}:{(17,1),(18,1),(54,1),(56,1),(57,1),(191,1)}
        34:{1,3,5}:{(18,1),(55,1),(57,1),(58,1),(121,1),(124,1)}
        35:{1,4,6,7}:{(19,1),(23,1),(59,1),(61,1),(130,1),(329,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(59,1),(61,1),(64,1),(87,1),(164,1)}
        37:{1,4,6}:{(20,1),(25,1),(60,1),(61,1),(253,1)}
        38:{1,2,4,5}:{(22,1),(60,1),(63,1),(132,1),(136,1),(165,1),(220,1),(241,1),(253,1),(303,1),(308,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(61,1),(64,1),(133,1),(296,1),(312,1),(362,1)}
        40:{1,3,6}:{(22,1),(63,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(68,1),(72,1),(148,1),(151,1),(374,1),(381,1),(411,1)}
        42:{2,5,7}:{(23,1),(27,1),(59,1),(68,1),(69,1),(382,1)}
        43:{2,4,5}:{(25,1),(28,1),(60,1),(71,1),(83,1),(132,1),(382,1),(415,1)}
        44:{2,4,7}:{(24,1),(25,1),(29,1),(61,1),(72,1),(411,1)}
        45:{3,4,6}:{(25,1),(71,1),(72,1),(151,1),(313,1),(322,1)}
        46:{2,3,4}:{(31,1),(67,1),(74,1),(156,1),(237,1),(322,1)}
        47:{1,4,5,6}:{(28,1),(66,1),(76,1),(77,1),(81,1),(216,1),(231,1),(319,1),(327,1),(384,1)}
        48:{1,3,4,6}:{(26,1),(77,1),(78,1),(79,1),(141,1),(146,1),(231,1),(313,1)}
        49:{2,4,5}:{(26,1),(31,1),(67,1),(79,1),(80,1),(83,1),(147,1),(237,1),(318,1)}
        50:{1,5,6}:{(27,1),(69,1),(81,1)}
        51:{1,4,5,7}:{(27,1),(28,1),(29,1),(70,1),(81,1),(82,1),(222,1)}
        52:{1,3,5}:{(28,1),(30,1),(71,1),(83,1)}
        53:{1,3,4,7}:{(29,1),(30,1),(32,1),(72,1),(82,1),(84,1)}
        54:{2,4,6}:{(30,1),(31,1),(33,1),(83,1),(84,1),(85,1),(163,1)}
        55:{1,4}:{(31,1),(34,1)}
        56:{2,3,7}:{(32,1),(33,1),(84,1),(87,1),(235,1)}
        57:{1,3,6}:{(33,1),(34,1),(85,1),(87,1),(88,1)}
        58:{1,2,5}:{(34,1),(86,1),(88,1),(147,1)}
        59:{1,5,7}:{(35,1),(42,1),(90,1),(360,1)}
        60:{1,4,5}:{(37,1),(43,1),(92,1),(121,1),(360,1)}
        61:{1,4,7}:{(36,1),(37,1),(44,1)}
        62:{1,3,4,6}:{(37,1),(40,1),(45,1),(92,1),(93,1),(94,1),(95,1),(174,1)}
        63:{1,3,5}:{(38,1),(40,1),(95,1),(96,1),(283,1),(344,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(94,1),(96,1),(97,1),(98,1),(331,1)}
        66:{2,4,5,6}:{(43,1),(47,1),(89,1),(100,1),(101,1),(107,1),(115,1),(171,1),(186,1),(193,1),(274,1),(280,1),(351,1),(353,1),(400,1),(401,1)}
        67:{2,3,5}:{(46,1),(49,1),(102,1),(103,1),(283,1)}
        68:{3,5,7}:{(41,1),(42,1),(104,1),(105,1),(402,1)}
        69:{2,5,6}:{(42,1),(50,1),(90,1),(104,1),(107,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(51,1),(91,1),(105,1),(107,1),(108,1),(120,1),(175,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(108,1),(347,1)}
        73:{2,3,4,6}:{(45,1),(46,1),(54,1),(94,1),(102,1),(109,1),(110,1),(111,1),(180,1),(186,1),(197,1),(201,1),(254,1),(279,1),(286,1),(348,1),(356,1),(388,1)}
        74:{1,3,4}:{(46,1),(55,1),(103,1),(112,1),(124,1),(179,1),(262,1)}
        75:{1,5,6,7}:{(50,1),(99,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(100,1),(113,1),(114,1),(258,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(48,1),(52,1),(101,1),(114,1),(115,1),(119,1),(291,1),(359,1)}
        78:{1,3,4,7}:{(48,1),(114,1),(116,1),(185,1),(190,1),(273,1),(347,1)}
        79:{2,4,6}:{(48,1),(49,1),(102,1),(115,1),(116,1),(117,1),(191,1)}
        80:{1,4,5}:{(49,1),(55,1),(103,1),(117,1),(121,1),(262,1),(338,1)}
        81:{1,4,6}:{(50,1),(51,1),(107,1),(119,1),(265,1)}
        82:{1,3,5,7}:{(51,1),(52,1),(53,1),(108,1),(119,1),(120,1)}
        83:{2,5}:{(52,1),(54,1),(121,1)}
        84:{2,4,7}:{(53,1),(54,1),(56,1),(120,1),(122,1)}
        85:{1,4,6}:{(54,1),(55,1),(57,1),(121,1),(122,1),(208,1)}
        86:{1,2,4}:{(55,1),(58,1),(112,1),(124,1)}
        87:{1,3,7}:{(56,1),(57,1),(122,1),(125,1)}
        88:{1,2,6}:{(57,1),(58,1),(125,1),(191,1)}
        89:{1,4,5,6}:{(60,1),(66,1),(127,1),(128,1),(130,1),(159,1),(231,1),(319,1),(368,1),(410,1)}
        90:{1,5,6}:{(59,1),(69,1),(130,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(61,1),(70,1),(130,1),(131,1),(164,1)}
        92:{1,3,5}:{(60,1),(62,1),(71,1),(132,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(72,1),(131,1),(133,1)}
        94:{2,4,6}:{(62,1),(65,1),(132,1),(133,1),(134,1),(136,1),(221,1)}
        95:{1,3,4}:{(63,1),(136,1),(253,1),(322,1)}
        96:{2,3,5}:{(63,1),(65,1),(132,1),(136,1),(137,1),(303,1),(309,1)}
        97:{2,3,7}:{(64,1),(65,1),(133,1),(138,1),(362,1)}
        98:{1,3,6}:{(65,1),(134,1),(137,1),(138,1),(139,1)}
        99:{2,5,6,7}:{(69,1),(75,1),(126,1),(140,1),(142,1),(310,1),(373,1),(414,1)}
       100:{2,4,5,7}:{(66,1),(76,1),(127,1),(142,1),(143,1),(158,1),(215,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       101:{3,5,6}:{(66,1),(71,1),(141,1),(143,1),(151,1),(313,1),(376,1),(413,1)}
       102:{2,3,6}:{(67,1),(79,1),(145,1),(146,1),(313,1)}
       103:{1,3,5}:{(67,1),(74,1),(80,1),(146,1),(147,1)}
       104:{3,5,6}:{(68,1),(69,1),(148,1),(151,1)}
       105:{4,5,7}:{(68,1),(148,1),(411,1),(415,1)}
       106:{3,4,5}:{(71,1),(141,1),(150,1),(322,1),(376,1),(415,1)}
       107:{2,4,6}:{(69,1),(70,1),(81,1),(130,1),(148,1),(151,1),(163,1),(221,1)}
       108:{3,5,7}:{(70,1),(71,1),(72,1),(151,1)}
       109:{2,3,5}:{(71,1),(73,1),(83,1),(132,1),(150,1),(153,1),(318,1),(376,1),(382,1),(407,1)}
       110:{2,3,4,7}:{(72,1),(73,1),(84,1),(133,1),(145,1),(152,1),(154,1),(230,1),(245,1),(294,1),(317,1),(324,1),(375,1),(406,1)}
       111:{1,3,4,6}:{(73,1),(74,1),(85,1),(134,1),(146,1),(153,1),(154,1),(155,1),(167,1),(225,1),(226,1),(231,1),(242,1),(253,1),(295,1),(302,1),(307,1),(313,1),(322,1),(329,1),(372,1),(381,1),(405,1)}
       112:{2,4}:{(74,1),(147,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(81,1),(142,1),(157,1),(298,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(78,1),(143,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(79,1),(83,1),(158,1),(159,1),(163,1),(318,1),(379,1)}
       116:{2,4,7}:{(78,1),(79,1),(145,1),(158,1),(160,1),(235,1)}
       117:{1,4,6}:{(79,1),(80,1),(146,1),(159,1),(160,1)}
       118:{1,2,4,5}:{(80,1),(86,1),(147,1),(161,1),(162,1),(165,1),(237,1),(241,1),(253,1),(318,1),(327,1)}
       119:{1,3,6}:{(81,1),(82,1),(151,1),(163,1)}
       120:{2,5,7}:{(82,1),(83,1),(84,1),(163,1),(164,1)}
       121:{1,5}:{(83,1),(85,1)}
       122:{1,4,7}:{(84,1),(85,1),(87,1),(164,1)}
       123:{1,2,4,6}:{(85,1),(86,1),(88,1),(155,1),(165,1),(166,1),(167,1),(251,1),(253,1),(308,1),(329,1),(361,1),(405,1)}
       124:{1,3}:{(86,1),(156,1)}
       125:{1,2,7}:{(87,1),(88,1),(235,1)}
       126:{1,5,6,7}:{(90,1),(99,1),(169,1),(345,1),(420,1)}
       127:{1,4,5,7}:{(89,1),(100,1),(169,1),(170,1),(203,1),(273,1),(345,1)}
       128:{1,3,5,6}:{(89,1),(92,1),(101,1),(168,1),(170,1),(171,1),(174,1),(390,1),(419,1)}
       129:{1,3,4,5}:{(92,1),(95,1),(106,1),(168,1),(173,1),(196,1),(263,1),(283,1),(341,1),(390,1)}
       130:{1,4,6}:{(90,1),(91,1),(107,1),(174,1),(208,1)}
       131:{1,3,5,7}:{(91,1),(92,1),(93,1),(108,1),(174,1),(175,1)}
       132:{2,5}:{(92,1),(94,1),(176,1)}
       133:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(177,1)}
       134:{1,4,6}:{(94,1),(98,1),(176,1),(177,1),(181,1),(265,1)}
       135:{1,2,4}:{(112,1),(172,1),(179,1),(262,1)}
       136:{2,4}:{(95,1),(96,1),(181,1)}
       137:{1,3,5}:{(96,1),(98,1),(176,1),(181,1),(182,1),(270,1)}
       138:{1,3,7}:{(97,1),(98,1),(177,1),(183,1)}
       139:{1,2,6}:{(98,1),(182,1),(183,1),(331,1)}
       140:{3,5,6,7}:{(99,1),(104,1),(184,1),(187,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(106,1),(185,1),(186,1),(401,1)}
       142:{2,4,6,7}:{(99,1),(100,1),(107,1),(113,1),(169,1),(184,1),(187,1),(202,1),(257,1),(400,1)}
       143:{3,5,7}:{(100,1),(101,1),(185,1),(187,1),(347,1)}
       144:{2,3,5,6}:{(101,1),(102,1),(109,1),(115,1),(171,1),(186,1),(188,1),(189,1),(197,1),(254,1),(280,1)}
       145:{2,3,7}:{(102,1),(116,1),(190,1),(347,1)}
       146:{1,3,6}:{(102,1),(103,1),(117,1),(190,1),(191,1)}
       147:{2,5}:{(103,1),(112,1),(191,1)}
       148:{4,6}:{(104,1),(105,1)}
       149:{3,4,5,7}:{(105,1),(106,1),(108,1),(185,1),(194,1),(195,1),(271,1),(355,1),(398,1),(402,1),(421,1)}
       150:{2,4,5}:{(106,1),(109,1),(186,1),(196,1),(286,1)}
       151:{3,6}:{(107,1),(108,1)}
       152:{2,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(175,1),(195,1),(197,1),(198,1),(352,1),(398,1),(418,1)}
       153:{1,3,5}:{(109,1),(111,1),(121,1),(176,1),(196,1),(199,1),(283,1),(338,1),(360,1),(395,1),(402,1),(417,1)}
       154:{1,3,4,7}:{(110,1),(111,1),(122,1),(177,1),(190,1),(198,1),(200,1),(211,1),(268,1),(273,1),(293,1),(330,1),(337,1),(343,1),(347,1),(355,1),(416,1)}
       155:{2,4,6}:{(111,1),(112,1),(191,1),(199,1),(200,1),(201,1),(269,1),(284,1),(286,1),(331,1)}
       156:{2,3}:{(112,1),(124,1),(179,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(119,1),(187,1),(202,1),(359,1)}
       158:{2,5,7}:{(114,1),(115,1),(116,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(117,1),(121,1),(203,1),(208,1),(338,1),(393,1)}
       160:{1,4,7}:{(116,1),(117,1),(190,1),(203,1)}
       161:{1,2,4,6}:{(117,1),(118,1),(191,1),(204,1),(205,1),(206,1),(274,1),(279,1),(289,1)}
       162:{1,3,5}:{(118,1),(124,1),(192,1),(206,1),(207,1),(283,1)}
       163:{2,6}:{(119,1),(120,1),(208,1)}
       164:{1,5,7}:{(120,1),(121,1),(122,1),(208,1)}
       165:{1,2,5}:{(121,1),(123,1),(199,1),(210,1),(360,1),(417,1)}
       166:{1,2,4,7}:{(122,1),(123,1),(125,1),(200,1),(209,1),(211,1),(293,1),(385,1),(416,1)}
       167:{1,3,6}:{(123,1),(124,1),(201,1),(210,1),(211,1),(344,1)}
       168:{1,3,4,6}:{(128,1),(129,1),(141,1),(212,1),(213,1),(231,1),(295,1),(313,1)}
       169:{1,4,6,7}:{(126,1),(127,1),(130,1),(142,1),(214,1),(246,1),(410,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(143,1),(212,1),(214,1),(215,1)}
       171:{2,5,6}:{(128,1),(132,1),(213,1),(215,1),(216,1),(221,1),(407,1),(424,1)}
       172:{1,2,5}:{(135,1),(147,1),(217,1),(218,1)}
       173:{2,4,5}:{(129,1),(132,1),(136,1),(213,1),(219,1),(220,1),(303,1),(371,1),(407,1)}
       174:{1,3,6}:{(130,1),(131,1),(151,1),(221,1)}
       175:{2,5,7}:{(131,1),(132,1),(133,1),(221,1),(222,1)}
       176:{1,5}:{(132,1),(134,1)}
       177:{1,4,7}:{(133,1),(134,1),(138,1),(222,1)}
       178:{1,2,4,6}:{(134,1),(135,1),(139,1),(155,1),(217,1),(223,1),(224,1),(225,1),(227,1),(302,1),(305,1),(307,1),(372,1)}
       179:{1,3}:{(135,1),(156,1)}
       180:{2,3,4}:{(136,1),(219,1),(226,1),(309,1),(322,1),(371,1)}
       181:{1,4}:{(136,1),(137,1)}
       182:{1,2,5}:{(137,1),(139,1),(227,1),(303,1)}
       183:{1,2,7}:{(138,1),(139,1),(362,1)}
       184:{4,6,7}:{(140,1),(148,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(143,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(150,1),(230,1),(231,1)}
       187:{3,6,7}:{(142,1),(143,1),(151,1),(413,1)}
       188:{2,3,5,7}:{(143,1),(144,1),(145,1),(158,1),(215,1),(230,1),(232,1),(233,1),(294,1),(310,1)}
       189:{1,3,5,6}:{(144,1),(146,1),(153,1),(159,1),(216,1),(231,1),(233,1),(234,1),(242,1),(295,1),(313,1),(319,1),(380,1)}
       190:{1,3,7}:{(145,1),(146,1),(160,1),(235,1)}
       191:{2,6}:{(146,1),(147,1),(235,1)}
       192:{2,3,5}:{(147,1),(156,1),(162,1),(218,1),(236,1),(237,1),(318,1)}
       193:{4,5,6}:{(148,1),(228,1),(238,1),(415,1),(425,1)}
       194:{3,4,6}:{(148,1),(149,1),(151,1),(238,1),(239,1),(413,1),(425,1)}
       195:{2,4,5,7}:{(149,1),(150,1),(152,1),(230,1),(239,1),(240,1),(310,1),(324,1),(382,1)}
       196:{1,4,5}:{(150,1),(153,1),(231,1),(241,1),(253,1),(307,1),(415,1)}
       197:{2,3,6}:{(151,1),(152,1),(163,1),(221,1),(239,1),(242,1),(379,1),(413,1),(424,1)}
       198:{1,3,5,7}:{(152,1),(153,1),(154,1),(164,1),(222,1),(240,1),(242,1),(243,1),(321,1),(369,1),(423,1)}
       199:{2,5}:{(153,1),(155,1)}
       200:{2,4,7}:{(154,1),(155,1),(235,1),(243,1),(245,1),(362,1)}
       201:{2,3,6}:{(155,1),(156,1),(167,1),(225,1),(244,1),(245,1),(309,1),(313,1)}
       202:{2,6,7}:{(157,1),(158,1),(163,1),(246,1),(379,1)}
       203:{1,5,7}:{(158,1),(159,1),(160,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(161,1),(165,1),(234,1),(247,1),(248,1),(251,1),(318,1),(361,1),(379,1)}
       205:{1,2,4,7}:{(160,1),(161,1),(235,1),(247,1),(249,1),(312,1),(317,1),(326,1)}
       206:{1,3,6}:{(161,1),(162,1),(236,1),(249,1),(313,1)}
       207:{1,3,4}:{(162,1),(237,1),(253,1),(322,1)}
       208:{1,6}:{(163,1),(164,1)}
       209:{1,2,5,7}:{(164,1),(165,1),(166,1),(243,1),(251,1),(252,1),(423,1)}
       210:{1,3,5}:{(165,1),(167,1),(244,1),(253,1)}
       211:{1,3,7}:{(166,1),(167,1),(245,1)}
       212:{1,3,4,7}:{(168,1),(170,1),(185,1),(255,1),(273,1),(330,1),(347,1)}
       213:{2,4,6}:{(168,1),(171,1),(173,1),(254,1),(255,1),(256,1),(331,1)}
       214:{1,3,6,7}:{(169,1),(170,1),(174,1),(187,1),(257,1),(419,1)}
       215:{2,5,7}:{(170,1),(171,1),(255,1),(257,1),(258,1)}
       216:{1,5,6}:{(171,1),(176,1),(256,1),(258,1),(265,1),(417,1),(426,1)}
       217:{1,2,6}:{(172,1),(191,1),(260,1),(261,1)}
       218:{1,3,5}:{(172,1),(179,1),(192,1),(261,1),(262,1),(338,1)}
       219:{2,3,5}:{(173,1),(180,1),(254,1),(263,1),(283,1)}
       220:{1,4,5}:{(173,1),(176,1),(181,1),(256,1),(263,1),(394,1),(417,1)}
       221:{2,6}:{(174,1),(175,1),(265,1)}
       222:{1,5,7}:{(175,1),(176,1),(177,1),(265,1)}
       223:{1,2,5}:{(176,1),(178,1),(199,1),(267,1),(338,1),(395,1)}
       224:{1,2,4,7}:{(177,1),(178,1),(183,1),(200,1),(260,1),(266,1),(268,1),(337,1),(343,1)}
       225:{1,3,6}:{(178,1),(179,1),(201,1),(267,1),(268,1),(270,1)}
       226:{1,3,4}:{(180,1),(181,1),(263,1),(269,1),(270,1),(344,1),(394,1)}
       227:{1,2,4}:{(181,1),(182,1),(269,1),(270,1)}
       228:{4,5,7}:{(184,1),(193,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(187,1),(194,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(188,1),(273,1)}
       231:{1,4,6}:{(186,1),(189,1),(196,1),(273,1),(274,1),(401,1)}
       232:{2,3,6,7}:{(187,1),(188,1),(197,1),(202,1),(257,1),(272,1),(275,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(190,1),(203,1),(258,1),(273,1),(275,1),(276,1),(330,1),(345,1),(347,1),(396,1)}
       234:{2,5,6}:{(189,1),(191,1),(199,1),(274,1),(276,1),(284,1),(331,1)}
       235:{2,7}:{(190,1),(191,1)}
       236:{2,3,6}:{(191,1),(192,1),(206,1),(261,1),(278,1),(279,1)}
       237:{2,4}:{(192,1),(207,1),(262,1)}
       238:{3,5,6}:{(193,1),(194,1),(271,1),(280,1),(402,1)}
       239:{2,4,6}:{(194,1),(195,1),(197,1),(280,1),(281,1)}
       240:{1,4,5,7}:{(195,1),(196,1),(198,1),(273,1),(281,1),(282,1),(293,1),(343,1),(345,1),(360,1),(395,1)}
       241:{2,4,5}:{(196,1),(199,1),(274,1),(283,1),(286,1)}
       242:{1,3,6}:{(197,1),(198,1),(208,1),(265,1),(281,1),(284,1),(354,1),(393,1),(426,1)}
       243:{2,5,7}:{(198,1),(199,1),(200,1),(284,1)}
       244:{2,3,5}:{(199,1),(201,1),(210,1),(267,1),(283,1),(286,1)}
       245:{2,3,7}:{(200,1),(201,1),(211,1),(268,1),(347,1)}
       246:{1,6,7}:{(202,1),(203,1),(208,1),(393,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(205,1),(276,1),(287,1),(288,1),(352,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(206,1),(210,1),(277,1),(288,1),(289,1),(291,1),(292,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,3,7}:{(205,1),(206,1),(278,1),(347,1)}
       250:{1,3,4,6}:{(206,1),(207,1),(279,1),(289,1),(290,1),(291,1),(348,1),(359,1)}
       251:{1,2,6}:{(208,1),(209,1),(284,1),(292,1),(426,1)}
       252:{1,3,5,7}:{(209,1),(210,1),(211,1),(285,1),(292,1),(293,1),(360,1)}
       253:{1,4}:{(210,1),(286,1)}
       254:{2,3,6}:{(213,1),(219,1),(294,1),(295,1),(313,1)}
       255:{2,4,7}:{(212,1),(213,1),(215,1),(294,1),(296,1),(362,1)}
       256:{1,4,6}:{(213,1),(216,1),(220,1),(295,1),(296,1)}
       257:{2,6,7}:{(214,1),(215,1),(221,1),(298,1),(424,1)}
       258:{1,5,7}:{(215,1),(216,1),(296,1),(298,1)}
       259:{1,2,5,6}:{(216,1),(217,1),(223,1),(234,1),(297,1),(299,1),(300,1),(305,1),(407,1),(424,1)}
       260:{1,2,7}:{(217,1),(235,1),(301,1)}
       261:{1,3,6}:{(217,1),(218,1),(236,1),(301,1),(302,1)}
       262:{1,4}:{(218,1),(237,1)}
       263:{1,3,5}:{(219,1),(220,1),(226,1),(295,1),(303,1)}
       264:{1,2,4,5}:{(220,1),(223,1),(227,1),(241,1),(297,1),(303,1),(304,1),(307,1),(368,1),(371,1),(407,1)}
       265:{1,6}:{(221,1),(222,1)}
       266:{1,2,5,7}:{(222,1),(223,1),(224,1),(243,1),(305,1),(306,1),(369,1)}
       267:{1,3,5}:{(223,1),(225,1),(244,1),(307,1)}
       268:{1,3,7}:{(224,1),(225,1),(245,1)}
       269:{2,4}:{(226,1),(303,1),(309,1)}
       270:{1,3}:{(227,1),(309,1)}
       271:{3,5,7}:{(228,1),(229,1),(238,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(232,1),(239,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(233,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(234,1),(241,1),(312,1),(313,1)}
       275:{1,3,6,7}:{(232,1),(233,1),(242,1),(246,1),(298,1),(311,1),(314,1),(374,1)}
       276:{2,5,7}:{(233,1),(234,1),(235,1),(312,1),(314,1),(362,1)}
       277:{2,3,5,6}:{(234,1),(236,1),(244,1),(248,1),(300,1),(313,1),(315,1),(316,1),(318,1),(323,1),(363,1),(376,1),(379,1),(380,1),(382,1),(407,1),(413,1),(414,1),(424,1)}
       278:{2,3,7}:{(235,1),(236,1),(249,1),(301,1),(317,1)}
       279:{2,4,6}:{(236,1),(237,1),(250,1),(302,1),(317,1),(318,1),(379,1)}
       280:{2,5,6}:{(238,1),(239,1),(310,1),(319,1),(382,1)}
       281:{1,4,6}:{(239,1),(240,1),(242,1),(319,1),(320,1)}
       282:{2,4,5,7}:{(240,1),(241,1),(243,1),(312,1),(320,1),(321,1),(324,1),(373,1),(382,1),(411,1),(415,1)}
       283:{3,5}:{(241,1),(313,1),(322,1)}
       284:{2,6}:{(242,1),(243,1)}
       285:{2,3,5,7}:{(243,1),(244,1),(245,1),(252,1),(306,1),(321,1),(323,1),(324,1),(382,1)}
       286:{2,4}:{(244,1),(253,1),(307,1),(322,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(251,1),(314,1),(325,1),(379,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(249,1),(315,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(253,1),(316,1),(326,1),(327,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(317,1),(326,1),(328,1),(375,1)}
       291:{1,3,5}:{(250,1),(318,1),(327,1),(376,1)}
       292:{1,3,6}:{(251,1),(252,1),(323,1),(329,1)}
       293:{1,4,7}:{(252,1),(253,1),(324,1),(329,1)}
       294:{2,3,7}:{(254,1),(255,1),(330,1),(347,1)}
       295:{1,3,6}:{(254,1),(256,1),(263,1),(330,1),(331,1)}
       296:{1,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       297:{1,2,4,6}:{(256,1),(259,1),(264,1),(274,1),(331,1),(332,1),(333,1),(336,1),(388,1)}
       298:{1,6,7}:{(257,1),(258,1),(265,1),(426,1)}
       299:{1,2,5,7}:{(258,1),(259,1),(260,1),(276,1),(332,1),(334,1),(335,1),(418,1)}
       300:{1,3,5,6}:{(259,1),(261,1),(267,1),(277,1),(333,1),(335,1),(336,1),(338,1),(342,1),(390,1),(393,1),(395,1),(419,1),(420,1)}
       301:{1,3,7}:{(260,1),(261,1),(278,1),(337,1)}
       302:{1,4,6}:{(261,1),(262,1),(279,1),(337,1),(338,1),(393,1)}
       303:{2,5}:{(263,1),(269,1),(331,1)}
       304:{1,3,5}:{(264,1),(270,1),(283,1),(333,1),(340,1),(341,1)}
       305:{1,2,6}:{(265,1),(266,1),(284,1),(342,1),(393,1)}
       306:{1,3,5,7}:{(266,1),(267,1),(268,1),(285,1),(342,1),(343,1),(395,1)}
       307:{1,4}:{(267,1),(286,1)}
       308:{1,2,4}:{(269,1),(339,1),(344,1),(394,1)}
       309:{2,3}:{(269,1),(270,1),(344,1)}
       310:{2,5,7}:{(271,1),(272,1),(280,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(275,1),(281,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(276,1),(347,1)}
       313:{3,6}:{(274,1),(283,1),(347,1)}
       314:{2,6,7}:{(275,1),(276,1),(284,1)}
       315:{2,3,5,7}:{(276,1),(277,1),(278,1),(288,1),(335,1),(347,1),(349,1),(350,1),(352,1),(387,1),(396,1),(398,1),(399,1),(418,1)}
       316:{2,4,6}:{(277,1),(286,1),(289,1),(336,1),(348,1),(350,1),(351,1),(401,1)}
       317:{2,4,7}:{(278,1),(279,1),(290,1),(337,1),(352,1)}
       318:{2,5}:{(279,1),(291,1),(338,1)}
       319:{1,5,6}:{(280,1),(281,1),(345,1),(353,1),(360,1),(395,1)}
       320:{2,4,6}:{(281,1),(282,1),(284,1),(353,1),(354,1),(401,1)}
       321:{3,5,7}:{(282,1),(283,1),(347,1),(354,1),(355,1),(402,1)}
       322:{3,4}:{(283,1),(286,1)}
       323:{2,3,6}:{(284,1),(285,1),(292,1),(342,1),(354,1),(356,1)}
       324:{2,4,7}:{(285,1),(286,1),(293,1),(343,1),(355,1),(356,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(292,1),(349,1),(357,1),(359,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(350,1)}
       327:{1,4,5}:{(289,1),(291,1),(351,1),(360,1),(417,1)}
       328:{1,3,5,7}:{(290,1),(291,1),(352,1),(358,1),(359,1),(398,1)}
       329:{1,4,6}:{(292,1),(293,1),(356,1),(360,1)}
       330:{1,3,7}:{(294,1),(295,1),(296,1),(362,1)}
       331:{2,6}:{(295,1),(303,1),(362,1)}
       332:{1,2,4,7}:{(296,1),(297,1),(299,1),(312,1),(362,1),(364,1),(367,1),(406,1)}
       333:{1,3,6}:{(297,1),(304,1),(313,1),(363,1),(364,1)}
       334:{1,2,6,7}:{(298,1),(299,1),(305,1),(314,1),(366,1),(424,1)}
       335:{1,3,5,7}:{(299,1),(300,1),(301,1),(315,1),(364,1),(366,1),(367,1),(369,1),(409,1)}
       336:{1,4,6}:{(300,1),(307,1),(316,1),(367,1),(368,1)}
       337:{1,4,7}:{(301,1),(302,1),(317,1),(369,1)}
       338:{1,5}:{(302,1),(318,1)}
       339:{1,2,5}:{(303,1),(308,1),(361,1),(370,1)}
       340:{2,3,5}:{(303,1),(304,1),(309,1),(363,1),(370,1),(371,1),(407,1)}
       341:{1,3,4}:{(304,1),(307,1),(322,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(323,1),(372,1)}
       343:{1,4,7}:{(306,1),(307,1),(324,1),(372,1)}
       344:{1,3}:{(308,1),(309,1)}
       345:{1,5,7}:{(310,1),(311,1),(319,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(314,1),(320,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(316,1),(322,1),(375,1),(376,1),(413,1)}
       349:{2,3,6,7}:{(314,1),(315,1),(323,1),(325,1),(366,1),(374,1),(377,1),(379,1),(413,1),(424,1)}
       350:{2,4,7}:{(315,1),(316,1),(326,1),(367,1),(375,1),(411,1)}
       351:{2,4,5}:{(316,1),(318,1),(327,1),(368,1),(376,1),(382,1),(407,1),(415,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{2,5,6}:{(319,1),(320,1),(373,1),(380,1),(382,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(381,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(381,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(329,1),(377,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(328,1),(378,1),(383,1),(384,1),(423,1)}
       359:{1,3,6}:{(328,1),(379,1),(384,1),(413,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(331,1),(339,1),(385,1),(386,1)}
       362:{2,7}:{(330,1),(331,1)}
       363:{2,3,6}:{(331,1),(333,1),(340,1),(386,1),(387,1),(388,1)}
       364:{1,3,7}:{(332,1),(333,1),(347,1),(387,1)}
       365:{1,3,4,6}:{(333,1),(336,1),(341,1),(348,1),(388,1),(389,1),(390,1),(419,1)}
       366:{1,3,6,7}:{(334,1),(335,1),(342,1),(349,1),(391,1),(393,1),(419,1)}
       367:{1,4,7}:{(335,1),(336,1),(350,1)}
       368:{1,4,5}:{(336,1),(338,1),(351,1),(390,1),(395,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(386,1),(394,1),(417,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(353,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(354,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(350,1),(398,1)}
       376:{3,5}:{(348,1),(351,1)}
       377:{2,4,6,7}:{(349,1),(350,1),(356,1),(357,1),(391,1),(397,1),(399,1),(400,1)}
       378:{2,4,5,7}:{(350,1),(351,1),(352,1),(358,1),(392,1),(398,1),(399,1),(400,1),(418,1),(421,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,5,6}:{(353,1),(354,1),(396,1),(401,1),(402,1)}
       381:{3,4,6}:{(354,1),(355,1),(356,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(402,1)}
       383:{1,5,7}:{(357,1),(360,1),(399,1),(403,1)}
       384:{1,4,6}:{(358,1),(359,1),(400,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(362,1),(404,1)}
       386:{1,3,6}:{(361,1),(363,1),(370,1),(404,1),(405,1)}
       387:{2,3,7}:{(362,1),(363,1),(364,1),(404,1),(406,1)}
       388:{2,4,6}:{(363,1),(365,1),(371,1),(405,1),(406,1),(407,1),(424,1)}
       389:{1,3,4,7}:{(364,1),(365,1),(367,1),(375,1),(406,1),(408,1)}
       390:{1,3,5}:{(365,1),(368,1),(376,1),(407,1)}
       391:{1,4,6,7}:{(366,1),(367,1),(372,1),(377,1),(409,1),(410,1)}
       392:{1,4,5,7}:{(367,1),(368,1),(369,1),(378,1),(408,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(380,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{2,5,7}:{(377,1),(382,1),(383,1),(409,1),(412,1),(414,1)}
       400:{2,4,6}:{(378,1),(379,1),(384,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       401:{4,6}:{(380,1),(411,1),(415,1)}
       402:{3,5}:{(381,1),(382,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,3,7}:{(385,1),(386,1),(387,1),(416,1)}
       405:{1,4,6}:{(386,1),(388,1),(394,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(387,1),(388,1),(389,1),(416,1),(418,1)}
       407:{2,5}:{(388,1),(390,1),(417,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(392,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(391,1),(395,1),(399,1),(420,1)}
       410:{1,4,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(400,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(422,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 901 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(33,1),(40,1),(41,1),(44,1),(73,1),(75,1),(93,1),(140,1),(150,1),(209,1),(213,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(104,1),(129,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(56,1),(109,1),(127,1),(183,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(209,1),(219,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(83,1),(141,1),(213,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(88,1),(90,1),(140,1),(146,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(54,1),(62,1),(114,1),(115,1),(121,1),(129,1),(179,1),(180,1),(186,1),(193,1),(244,1),(254,1),(290,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(244,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(119,1),(178,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(175,1),(200,1),(203,1),(256,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(100,1),(143,1),(144,1),(168,1),(219,1),(270,1),(271,1),(297,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(40,1),(75,1),(81,1),(84,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(76,1),(91,1),(147,1),(148,1),(162,1),(217,1),(278,1),(303,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(141,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(75,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(146,1),(149,1),(162,1),(166,1),(169,1),(217,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(129,1),(186,1),(197,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(20,1),(48,1),(50,1),(51,1),(63,1),(104,1),(172,1),(179,1),(202,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(21,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{1,3,4,6,7}:{(18,1),(53,1),(54,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        33:{1,4,5,7}:{(17,1),(20,1),(48,1),(56,1),(65,1),(114,1),(119,1),(172,1),(179,1),(237,1)}
        34:{2,4,6}:{(17,1),(18,1),(49,1),(56,1),(57,1),(109,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(54,1),(57,1),(58,1),(125,1),(193,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(50,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(178,1),(197,1),(201,1),(244,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(33,1),(75,1),(76,1),(80,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(34,1),(76,1),(162,1),(217,1),(228,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(39,1),(76,1),(79,1),(80,1),(94,1),(139,1),(147,1),(164,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(40,1),(80,1),(81,1),(97,1),(166,1),(215,1),(273,1),(299,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(74,1),(83,1),(84,1),(141,1),(143,1),(213,1)}
        54:{1,3,5,7}:{(32,1),(35,1),(84,1),(85,1),(157,1)}
        55:{1,2,4,5,7}:{(33,1),(38,1),(75,1),(86,1),(87,1),(95,1),(144,1),(150,1),(155,1),(164,1),(213,1),(215,1),(224,1),(226,1),(269,1),(313,1)}
        56:{1,4,6}:{(33,1),(34,1),(76,1),(88,1)}
        57:{2,5,6}:{(34,1),(35,1),(40,1),(84,1),(88,1),(215,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(85,1),(89,1),(91,1),(147,1),(226,1),(227,1),(278,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(78,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(79,1),(94,1),(95,1),(164,1),(300,1),(301,1),(302,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(141,1),(228,1),(277,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(146,1),(166,1),(227,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(202,1),(259,1)}
        74:{2,3,6,7}:{(49,1),(53,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(56,1),(109,1),(256,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(57,1),(107,1),(110,1),(111,1),(125,1),(195,1),(248,1)}
        78:{2,3,7}:{(50,1),(63,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(65,1),(113,1),(114,1),(186,1),(200,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(54,1),(59,1),(116,1),(117,1),(189,1),(253,1)}
        83:{1,4,6,7}:{(53,1),(56,1),(106,1),(119,1),(179,1)}
        84:{2,5,7}:{(53,1),(54,1),(57,1),(119,1)}
        85:{1,4,5,7}:{(54,1),(58,1),(117,1),(120,1),(179,1),(255,1)}
        86:{1,3,5,7}:{(55,1),(63,1),(108,1),(121,1),(122,1),(130,1),(186,1),(193,1),(244,1),(290,1)}
        87:{1,2,4,6}:{(55,1),(56,1),(109,1),(122,1),(123,1),(181,1),(183,1),(194,1),(289,1),(314,1)}
        88:{1,5,6}:{(56,1),(57,1),(65,1),(119,1),(237,1)}
        89:{2,4,5,6}:{(57,1),(58,1),(66,1),(111,1),(120,1),(124,1),(125,1),(127,1),(183,1),(195,1),(246,1),(289,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(112,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(113,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(178,1),(197,1),(255,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(244,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(229,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(83,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(84,1),(142,1),(143,1),(157,1),(225,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(86,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(88,1),(142,1),(146,1),(147,1),(217,1),(227,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(94,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(164,1),(209,1)}
       115:{3,4,5}:{(81,1),(97,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(84,1),(90,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(85,1),(91,1),(153,1),(277,1),(278,1)}
       118:{1,2,4,6,7}:{(83,1),(87,1),(141,1),(154,1),(155,1),(211,1),(213,1),(224,1)}
       119:{1,5,7}:{(83,1),(84,1),(88,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(89,1),(143,1),(153,1),(156,1),(157,1),(213,1),(225,1)}
       121:{1,3,4,7}:{(86,1),(144,1),(158,1),(164,1),(219,1),(224,1),(270,1)}
       122:{1,3,6}:{(86,1),(87,1),(145,1),(217,1),(303,1)}
       123:{1,2,5,6}:{(87,1),(88,1),(95,1),(146,1),(155,1),(159,1),(215,1),(268,1),(301,1)}
       124:{1,4,5,6}:{(88,1),(89,1),(96,1),(147,1),(156,1),(160,1),(161,1),(263,1),(295,1)}
       125:{3,5,6}:{(89,1),(97,1),(148,1),(157,1),(162,1),(217,1),(273,1),(303,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(149,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(150,1),(164,1),(165,1),(166,1),(221,1),(230,1),(276,1),(302,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(213,1),(272,1),(304,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(256,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(119,1),(178,1),(179,1),(244,1),(255,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(121,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(122,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(125,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(130,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(132,1),(184,1),(186,1),(187,1),(198,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(119,1),(126,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(120,1),(127,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,3,6,7}:{(118,1),(122,1),(177,1),(191,1),(244,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(123,1),(178,1),(191,1),(242,1),(309,1)}
       156:{1,4,5,7}:{(119,1),(120,1),(124,1),(179,1),(188,1),(192,1)}
       157:{3,5,7}:{(120,1),(125,1),(180,1),(189,1),(244,1)}
       158:{1,3,4,6}:{(121,1),(122,1),(181,1),(193,1),(194,1),(247,1)}
       159:{1,3,5,6}:{(122,1),(123,1),(130,1),(182,1),(191,1),(193,1),(194,1),(286,1),(310,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(132,1),(184,1),(192,1),(195,1),(196,1),(284,1),(306,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(185,1)}
       165:{1,3,5}:{(131,1),(135,1),(186,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(244,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(227,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(154,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(157,1)}
       181:{2,4,6}:{(144,1),(145,1),(158,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(159,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(160,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(164,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(166,1),(218,1),(220,1),(221,1),(230,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(156,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(157,1),(162,1),(303,1)}
       190:{1,3,4,6,7}:{(154,1),(158,1),(211,1),(223,1),(224,1),(270,1),(278,1),(303,1)}
       191:{1,3,5,7}:{(154,1),(155,1),(159,1),(212,1),(224,1),(298,1),(313,1)}
       192:{1,3,5,7}:{(156,1),(157,1),(160,1),(214,1),(222,1),(225,1)}
       193:{1,3,5}:{(158,1),(215,1),(226,1),(273,1)}
       194:{1,4,6}:{(159,1),(164,1),(216,1),(224,1),(226,1)}
       195:{2,5,6}:{(160,1),(166,1),(218,1),(225,1),(227,1),(228,1),(299,1),(312,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(219,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(276,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(255,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(190,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(191,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(192,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(193,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(194,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(195,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(257,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(192,1),(196,1),(252,1),(306,1)}
       223:{1,3,5,7}:{(190,1),(193,1),(242,1),(253,1),(254,1),(290,1)}
       224:{1,4,7}:{(191,1),(194,1),(243,1)}
       225:{2,5,7}:{(192,1),(195,1),(245,1),(252,1),(255,1)}
       226:{1,4,5}:{(193,1),(194,1),(246,1),(310,1)}
       227:{1,5,6}:{(195,1),(200,1),(249,1),(255,1),(256,1),(310,1),(314,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(223,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(224,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(225,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(226,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(230,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(225,1),(228,1),(277,1),(312,1)}
       253:{1,3,5,6}:{(223,1),(268,1),(278,1),(303,1)}
       254:{1,4,5,7}:{(223,1),(224,1),(226,1),(269,1),(278,1),(313,1)}
       255:{1,5,7}:{(225,1),(227,1),(272,1),(277,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(276,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(253,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(254,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(255,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(257,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(255,1),(256,1),(314,1)}
       278:{1,4,6}:{(253,1),(254,1),(289,1),(314,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 902 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

 903 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(69,1),(129,1),(149,1),(155,1),(217,1),(231,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(20,1),(27,1),(69,1),(79,1),(131,1),(147,1),(217,1),(227,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(10,1),(41,1),(89,1),(109,1),(110,1),(169,1),(261,1),(263,1),(342,1),(394,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(43,1),(114,1),(194,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(108,1),(175,1),(198,1),(278,1)}
         5:{1,3,5}:{(1,1),(10,1),(13,1),(14,1),(177,1),(272,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(75,1),(123,1),(153,1),(213,1),(219,1),(231,1),(248,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(24,1),(57,1),(60,1),(69,1),(123,1),(140,1),(141,1),(155,1),(219,1),(231,1),(235,1),(309,1),(322,1),(378,1),(381,1)}
         8:{1,4,6}:{(2,1),(18,1),(20,1),(22,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(22,1),(23,1),(25,1),(74,1),(130,1),(218,1)}
        10:{1,3,6}:{(3,1),(5,1),(24,1),(25,1),(309,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(22,1),(25,1),(73,1),(159,1),(241,1),(310,1)}
        12:{1,2,6,7}:{(4,1),(23,1),(155,1),(245,1),(306,1),(320,1)}
        13:{1,3,4}:{(5,1),(27,1),(304,1),(314,1)}
        14:{2,3,5}:{(5,1),(24,1),(27,1),(28,1),(69,1),(147,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(30,1),(31,1),(32,1),(46,1),(84,1),(107,1),(171,1),(172,1),(200,1),(202,1),(290,1),(359,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(30,1),(32,1),(33,1),(86,1),(254,1),(268,1),(332,1)}
        17:{1,2,5,7}:{(6,1),(31,1),(33,1),(34,1),(113,1),(170,1),(259,1),(278,1)}
        18:{2,4,6}:{(7,1),(8,1),(30,1),(35,1),(36,1),(37,1),(281,1),(400,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(31,1),(37,1),(38,1),(47,1),(90,1),(95,1),(100,1),(108,1),(170,1),(278,1),(346,1),(398,1)}
        20:{1,4,5}:{(8,1),(35,1),(41,1),(169,1),(394,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(13,1),(36,1),(41,1),(43,1),(44,1),(109,1)}
        22:{1,4,7}:{(8,1),(9,1),(37,1)}
        23:{1,3,6,7}:{(9,1),(12,1),(38,1),(45,1),(109,1),(263,1),(342,1)}
        24:{2,3,6}:{(10,1),(14,1),(43,1),(46,1),(47,1),(194,1)}
        25:{1,3,7}:{(10,1),(11,1),(47,1),(346,1)}
        26:{1,3,4,5}:{(13,1),(41,1),(48,1),(49,1),(91,1),(102,1),(180,1),(206,1),(272,1),(291,1)}
        27:{2,4}:{(13,1),(14,1),(50,1)}
        28:{1,3,5}:{(14,1),(46,1),(50,1),(51,1),(107,1),(117,1)}
        29:{1,2,4,5}:{(16,1),(52,1),(53,1),(119,1),(123,1),(153,1),(211,1),(227,1),(246,1),(293,1),(296,1)}
        30:{1,4,6}:{(15,1),(18,1),(53,1),(55,1),(246,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(19,1),(55,1),(56,1),(58,1),(76,1),(128,1),(154,1)}
        32:{1,3,6}:{(16,1),(52,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(55,1),(58,1),(127,1),(299,1),(310,1),(364,1)}
        34:{1,2,6,7}:{(17,1),(56,1),(219,1),(248,1),(303,1),(320,1)}
        35:{2,4,5}:{(18,1),(20,1),(53,1),(60,1),(69,1),(123,1),(381,1),(414,1)}
        36:{3,4,6}:{(18,1),(60,1),(63,1),(140,1),(309,1),(314,1)}
        37:{2,4,7}:{(18,1),(19,1),(22,1),(55,1),(63,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(23,1),(56,1),(64,1),(140,1),(155,1),(219,1),(320,1),(322,1),(375,1)}
        39:{2,3,4}:{(27,1),(65,1),(66,1),(148,1),(242,1),(314,1)}
        40:{1,4,5,6}:{(20,1),(59,1),(67,1),(68,1),(71,1),(213,1),(224,1),(317,1),(325,1),(383,1)}
        41:{1,3,5}:{(20,1),(21,1),(60,1),(69,1)}
        42:{1,4,5,7}:{(20,1),(22,1),(61,1),(70,1),(71,1),(74,1),(218,1)}
        43:{2,4,6}:{(21,1),(24,1),(27,1),(69,1),(72,1),(73,1),(155,1)}
        44:{1,3,4,7}:{(21,1),(22,1),(25,1),(63,1),(70,1),(73,1)}
        45:{1,4,6,7}:{(22,1),(23,1),(64,1),(71,1),(74,1),(371,1)}
        46:{1,3,6}:{(24,1),(28,1),(72,1),(75,1),(76,1)}
        47:{2,3,7}:{(24,1),(25,1),(73,1),(76,1),(241,1)}
        48:{1,3,4,6}:{(26,1),(67,1),(77,1),(78,1),(132,1),(145,1),(224,1),(309,1)}
        49:{2,4,5}:{(26,1),(27,1),(65,1),(69,1),(77,1),(79,1),(147,1),(242,1),(323,1)}
        50:{1,4}:{(27,1),(28,1)}
        51:{1,2,5}:{(28,1),(75,1),(80,1),(147,1)}
        52:{1,3,5}:{(29,1),(32,1),(81,1),(82,1),(272,1),(331,1)}
        53:{1,4,5}:{(30,1),(35,1),(84,1),(107,1),(359,1)}
        54:{1,3,4,6}:{(30,1),(32,1),(36,1),(81,1),(84,1),(86,1),(87,1),(171,1)}
        55:{1,4,7}:{(30,1),(31,1),(37,1)}
        56:{1,3,6,7}:{(31,1),(34,1),(38,1),(88,1),(171,1),(202,1),(290,1)}
        57:{2,3,6}:{(32,1),(82,1),(86,1),(89,1),(90,1),(332,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(83,1),(92,1),(93,1),(96,1),(104,1),(166,1),(178,1),(268,1),(275,1),(276,1),(351,1),(352,1),(400,1),(401,1)}
        60:{3,5}:{(35,1),(36,1)}
        61:{2,4,5,7}:{(35,1),(37,1),(42,1),(85,1),(95,1),(96,1),(100,1),(108,1),(170,1),(193,1)}
        62:{2,3,4,6}:{(36,1),(39,1),(43,1),(86,1),(94,1),(97,1),(98,1),(101,1),(161,1),(178,1),(189,1),(191,1),(251,1),(281,1),(284,1),(345,1),(355,1),(388,1)}
        63:{3,4,7}:{(36,1),(37,1),(95,1),(346,1)}
        64:{2,4,6,7}:{(37,1),(38,1),(45,1),(88,1),(96,1),(99,1),(100,1),(355,1)}
        65:{2,3,5}:{(39,1),(49,1),(101,1),(102,1),(272,1)}
        66:{1,3,4}:{(39,1),(50,1),(102,1),(103,1),(117,1),(177,1),(267,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(48,1),(92,1),(104,1),(105,1),(109,1),(291,1),(360,1)}
        68:{1,4,5,7}:{(40,1),(93,1),(105,1),(106,1),(259,1),(269,1),(348,1)}
        69:{2,5}:{(41,1),(43,1),(107,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(95,1),(108,1),(109,1)}
        71:{1,4,6}:{(42,1),(96,1),(109,1),(110,1),(263,1)}
        72:{1,4,6}:{(43,1),(46,1),(50,1),(107,1),(112,1),(202,1)}
        73:{2,4,7}:{(43,1),(44,1),(47,1),(108,1),(112,1)}
        74:{1,5,7}:{(45,1),(100,1),(110,1),(394,1)}
        75:{1,2,6}:{(46,1),(51,1),(113,1),(194,1)}
        76:{1,3,7}:{(46,1),(47,1),(112,1),(113,1)}
        77:{2,4,6}:{(48,1),(49,1),(101,1),(104,1),(114,1),(115,1),(194,1)}
        78:{1,3,4,7}:{(48,1),(105,1),(115,1),(179,1),(195,1),(269,1),(346,1)}
        79:{1,4,5}:{(49,1),(50,1),(102,1),(107,1),(114,1),(267,1),(343,1)}
        80:{1,2,4}:{(50,1),(51,1),(103,1),(117,1)}
        81:{1,3,4}:{(52,1),(119,1),(246,1),(314,1)}
        82:{2,3,5}:{(52,1),(57,1),(119,1),(120,1),(123,1),(296,1),(297,1)}
        83:{1,4,5,6}:{(53,1),(59,1),(121,1),(122,1),(125,1),(149,1),(224,1),(317,1),(368,1),(409,1)}
        84:{1,3,5}:{(53,1),(54,1),(60,1),(123,1)}
        85:{1,4,5,7}:{(53,1),(55,1),(61,1),(124,1),(125,1),(128,1),(154,1)}
        86:{2,4,6}:{(54,1),(57,1),(119,1),(123,1),(126,1),(127,1),(219,1)}
        87:{1,3,4,7}:{(54,1),(55,1),(58,1),(63,1),(124,1),(127,1)}
        88:{1,4,6,7}:{(55,1),(56,1),(64,1),(125,1),(128,1),(328,1)}
        89:{1,3,6}:{(57,1),(120,1),(126,1),(129,1),(130,1)}
        90:{2,3,7}:{(57,1),(58,1),(127,1),(130,1),(364,1)}
        91:{3,4,5}:{(60,1),(132,1),(133,1),(314,1),(373,1),(414,1)}
        92:{3,5,6}:{(59,1),(60,1),(132,1),(136,1),(140,1),(309,1),(373,1),(411,1)}
        93:{2,4,5,7}:{(59,1),(68,1),(122,1),(136,1),(137,1),(150,1),(214,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        94:{2,3,5}:{(60,1),(62,1),(69,1),(123,1),(133,1),(138,1),(323,1),(373,1),(381,1),(406,1)}
        95:{3,5,7}:{(60,1),(61,1),(63,1),(140,1)}
        96:{2,4,6}:{(61,1),(71,1),(125,1),(140,1),(141,1),(155,1),(219,1),(238,1)}
        97:{1,3,4,6}:{(62,1),(66,1),(72,1),(126,1),(138,1),(142,1),(143,1),(145,1),(156,1),(208,1),(220,1),(224,1),(237,1),(246,1),(294,1),(304,1),(307,1),(309,1),(314,1),(328,1),(371,1),(377,1),(404,1)}
        98:{2,3,4,7}:{(62,1),(63,1),(73,1),(127,1),(139,1),(143,1),(146,1),(225,1),(239,1),(295,1),(321,1),(324,1),(374,1),(407,1)}
        99:{3,4,6,7}:{(63,1),(64,1),(140,1),(144,1),(238,1),(375,1),(377,1),(413,1)}
       100:{2,5,7}:{(64,1),(74,1),(128,1),(141,1),(144,1),(381,1)}
       101:{2,3,6}:{(65,1),(77,1),(145,1),(146,1),(309,1)}
       102:{1,3,5}:{(65,1),(66,1),(79,1),(145,1),(147,1)}
       103:{2,4}:{(66,1),(147,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(77,1),(149,1),(150,1),(155,1),(323,1),(382,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(78,1),(136,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(71,1),(137,1),(151,1),(152,1),(303,1),(383,1)}
       107:{1,5}:{(69,1),(72,1)}
       108:{2,5,7}:{(69,1),(70,1),(73,1),(154,1),(155,1)}
       109:{1,3,6}:{(70,1),(71,1),(140,1),(155,1)}
       110:{1,5,6}:{(71,1),(74,1),(141,1)}
       111:{1,2,4,6}:{(72,1),(75,1),(80,1),(142,1),(153,1),(156,1),(157,1),(246,1),(248,1),(293,1),(328,1),(361,1),(404,1)}
       112:{1,4,7}:{(72,1),(73,1),(76,1),(154,1)}
       113:{1,2,7}:{(75,1),(76,1),(241,1)}
       114:{1,4,6}:{(77,1),(79,1),(145,1),(149,1),(159,1)}
       115:{2,4,7}:{(77,1),(78,1),(146,1),(150,1),(159,1),(241,1)}
       116:{1,2,4,5}:{(79,1),(80,1),(147,1),(153,1),(158,1),(160,1),(227,1),(242,1),(246,1),(323,1),(325,1)}
       117:{1,3}:{(80,1),(148,1)}
       118:{1,3,4,5}:{(81,1),(84,1),(91,1),(162,1),(163,1),(180,1),(252,1),(272,1),(337,1),(390,1)}
       119:{2,4}:{(81,1),(82,1),(164,1)}
       120:{1,3,5}:{(82,1),(89,1),(164,1),(165,1),(169,1),(257,1)}
       121:{1,3,5,6}:{(83,1),(84,1),(92,1),(162,1),(166,1),(167,1),(171,1),(390,1),(419,1)}
       122:{1,4,5,7}:{(83,1),(93,1),(167,1),(168,1),(198,1),(269,1),(348,1)}
       123:{2,5}:{(84,1),(86,1),(169,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(87,1),(95,1),(170,1),(171,1)}
       125:{1,4,6}:{(85,1),(96,1),(171,1),(172,1),(202,1)}
       126:{1,4,6}:{(86,1),(89,1),(164,1),(169,1),(174,1),(263,1)}
       127:{2,4,7}:{(86,1),(87,1),(90,1),(170,1),(174,1)}
       128:{1,5,7}:{(88,1),(100,1),(172,1),(359,1)}
       129:{1,2,6}:{(89,1),(165,1),(175,1),(332,1)}
       130:{1,3,7}:{(89,1),(90,1),(174,1),(175,1)}
       131:{1,2,4}:{(103,1),(176,1),(177,1),(267,1)}
       132:{3,4,6}:{(91,1),(92,1),(178,1),(179,1),(400,1)}
       133:{2,4,5}:{(91,1),(94,1),(178,1),(180,1),(281,1)}
       134:{3,4,5,7}:{(91,1),(95,1),(179,1),(181,1),(182,1),(193,1),(271,1),(349,1),(396,1),(399,1),(422,1)}
       135:{2,3,5,6}:{(92,1),(94,1),(101,1),(104,1),(166,1),(178,1),(183,1),(184,1),(189,1),(251,1),(275,1)}
       136:{3,5,7}:{(92,1),(93,1),(179,1),(185,1),(346,1)}
       137:{2,4,6,7}:{(93,1),(96,1),(106,1),(168,1),(185,1),(186,1),(199,1),(260,1),(280,1),(401,1)}
       138:{1,3,5}:{(94,1),(97,1),(107,1),(169,1),(180,1),(187,1),(272,1),(343,1),(359,1),(394,1),(399,1),(416,1)}
       139:{2,3,5,7}:{(94,1),(95,1),(98,1),(108,1),(170,1),(181,1),(188,1),(189,1),(356,1),(396,1),(418,1)}
       140:{3,6}:{(95,1),(96,1)}
       141:{2,5,6}:{(96,1),(100,1),(110,1),(172,1),(190,1)}
       142:{2,4,6}:{(97,1),(103,1),(187,1),(191,1),(192,1),(194,1),(253,1),(281,1),(283,1),(332,1)}
       143:{1,3,4,7}:{(97,1),(98,1),(112,1),(174,1),(188,1),(192,1),(195,1),(203,1),(264,1),(269,1),(289,1),(333,1),(341,1),(344,1),(346,1),(349,1),(417,1)}
       144:{3,5,7}:{(99,1),(100,1),(190,1),(193,1),(399,1)}
       145:{1,3,6}:{(101,1),(102,1),(114,1),(194,1),(195,1)}
       146:{2,3,7}:{(101,1),(115,1),(195,1),(346,1)}
       147:{2,5}:{(102,1),(103,1),(194,1)}
       148:{2,3}:{(103,1),(117,1),(177,1)}
       149:{1,5,6}:{(104,1),(107,1),(114,1),(198,1),(202,1),(343,1),(395,1)}
       150:{2,5,7}:{(104,1),(105,1),(115,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(109,1),(185,1),(199,1),(360,1)}
       152:{1,5,6,7}:{(106,1),(110,1),(186,1),(348,1),(403,1)}
       153:{1,2,5}:{(107,1),(111,1),(187,1),(200,1),(359,1),(416,1)}
       154:{1,5,7}:{(107,1),(108,1),(112,1),(202,1)}
       155:{2,6}:{(108,1),(109,1),(202,1)}
       156:{1,3,6}:{(111,1),(117,1),(191,1),(200,1),(203,1),(331,1)}
       157:{1,2,4,7}:{(111,1),(112,1),(113,1),(192,1),(201,1),(203,1),(289,1),(386,1),(417,1)}
       158:{1,2,4,6}:{(114,1),(116,1),(194,1),(197,1),(204,1),(205,1),(268,1),(284,1),(286,1)}
       159:{1,4,7}:{(114,1),(115,1),(195,1),(198,1)}
       160:{1,3,5}:{(116,1),(117,1),(196,1),(204,1),(206,1),(272,1)}
       161:{2,3,4}:{(119,1),(207,1),(208,1),(297,1),(314,1),(365,1)}
       162:{1,3,4,6}:{(118,1),(121,1),(132,1),(209,1),(210,1),(224,1),(294,1),(309,1)}
       163:{2,4,5}:{(118,1),(119,1),(123,1),(207,1),(209,1),(211,1),(296,1),(365,1),(406,1)}
       164:{1,4}:{(119,1),(120,1)}
       165:{1,2,5}:{(120,1),(129,1),(212,1),(296,1)}
       166:{2,5,6}:{(121,1),(123,1),(209,1),(213,1),(214,1),(219,1),(406,1),(424,1)}
       167:{1,3,5,7}:{(121,1),(122,1),(136,1),(210,1),(214,1),(215,1)}
       168:{1,4,6,7}:{(122,1),(125,1),(137,1),(215,1),(216,1),(245,1),(409,1)}
       169:{1,5}:{(123,1),(126,1)}
       170:{2,5,7}:{(123,1),(124,1),(127,1),(218,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(140,1),(219,1)}
       172:{1,5,6}:{(125,1),(128,1),(141,1)}
       173:{1,2,4,6}:{(126,1),(129,1),(131,1),(142,1),(212,1),(217,1),(220,1),(221,1),(222,1),(304,1),(306,1),(307,1),(371,1)}
       174:{1,4,7}:{(126,1),(127,1),(130,1),(218,1)}
       175:{1,2,7}:{(129,1),(130,1),(364,1)}
       176:{1,2,5}:{(131,1),(147,1),(222,1),(223,1)}
       177:{1,3}:{(131,1),(148,1)}
       178:{2,4,6}:{(132,1),(133,1),(135,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(136,1),(225,1),(413,1)}
       180:{1,4,5}:{(133,1),(138,1),(224,1),(227,1),(246,1),(304,1),(414,1)}
       181:{2,4,5,7}:{(133,1),(134,1),(139,1),(225,1),(228,1),(229,1),(312,1),(321,1),(381,1)}
       182:{3,4,6}:{(134,1),(140,1),(229,1),(230,1),(238,1),(411,1),(425,1)}
       183:{1,3,5,6}:{(135,1),(138,1),(145,1),(149,1),(213,1),(224,1),(231,1),(232,1),(237,1),(294,1),(309,1),(317,1),(378,1)}
       184:{2,3,5,7}:{(135,1),(136,1),(146,1),(150,1),(214,1),(225,1),(232,1),(233,1),(295,1),(312,1)}
       185:{3,6,7}:{(136,1),(137,1),(140,1),(411,1)}
       186:{2,5,6,7}:{(137,1),(141,1),(152,1),(216,1),(234,1),(312,1),(376,1),(415,1)}
       187:{2,5}:{(138,1),(142,1)}
       188:{1,3,5,7}:{(138,1),(139,1),(143,1),(154,1),(218,1),(228,1),(236,1),(237,1),(315,1),(372,1),(423,1)}
       189:{2,3,6}:{(139,1),(140,1),(155,1),(219,1),(229,1),(237,1),(382,1),(411,1),(424,1)}
       190:{3,5,6}:{(140,1),(141,1),(144,1),(238,1)}
       191:{2,3,6}:{(142,1),(148,1),(156,1),(220,1),(235,1),(239,1),(297,1),(309,1)}
       192:{2,4,7}:{(142,1),(143,1),(236,1),(239,1),(241,1),(364,1)}
       193:{4,5,7}:{(144,1),(238,1),(413,1),(414,1)}
       194:{2,6}:{(145,1),(147,1),(241,1)}
       195:{1,3,7}:{(145,1),(146,1),(159,1),(241,1)}
       196:{2,3,5}:{(147,1),(148,1),(160,1),(223,1),(240,1),(242,1),(323,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(158,1),(231,1),(243,1),(244,1),(248,1),(323,1),(361,1),(382,1)}
       198:{1,5,7}:{(149,1),(150,1),(159,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(155,1),(245,1),(382,1)}
       200:{1,3,5}:{(153,1),(156,1),(235,1),(246,1)}
       201:{1,2,5,7}:{(153,1),(154,1),(157,1),(236,1),(247,1),(248,1),(423,1)}
       202:{1,6}:{(154,1),(155,1)}
       203:{1,3,7}:{(156,1),(157,1),(239,1)}
       204:{1,3,6}:{(158,1),(160,1),(240,1),(250,1),(309,1)}
       205:{1,2,4,7}:{(158,1),(159,1),(241,1),(244,1),(250,1),(310,1),(324,1),(326,1)}
       206:{1,3,4}:{(160,1),(242,1),(246,1),(314,1)}
       207:{2,3,5}:{(161,1),(163,1),(251,1),(252,1),(272,1)}
       208:{1,3,4}:{(161,1),(164,1),(252,1),(253,1),(257,1),(331,1),(387,1)}
       209:{2,4,6}:{(162,1),(163,1),(166,1),(251,1),(254,1),(255,1),(332,1)}
       210:{1,3,4,7}:{(162,1),(167,1),(179,1),(255,1),(269,1),(333,1),(346,1)}
       211:{1,4,5}:{(163,1),(164,1),(169,1),(252,1),(254,1),(387,1),(416,1)}
       212:{1,2,4}:{(164,1),(165,1),(253,1),(257,1)}
       213:{1,5,6}:{(166,1),(169,1),(254,1),(259,1),(263,1),(416,1),(426,1)}
       214:{2,5,7}:{(166,1),(167,1),(255,1),(259,1),(260,1)}
       215:{1,3,6,7}:{(167,1),(168,1),(171,1),(185,1),(260,1),(419,1)}
       216:{1,5,6,7}:{(168,1),(172,1),(186,1),(348,1),(420,1)}
       217:{1,2,5}:{(169,1),(173,1),(187,1),(261,1),(343,1),(394,1)}
       218:{1,5,7}:{(169,1),(170,1),(174,1),(263,1)}
       219:{2,6}:{(170,1),(171,1),(263,1)}
       220:{1,3,6}:{(173,1),(177,1),(191,1),(257,1),(261,1),(264,1)}
       221:{1,2,4,7}:{(173,1),(174,1),(175,1),(192,1),(262,1),(264,1),(266,1),(341,1),(344,1)}
       222:{1,2,6}:{(176,1),(194,1),(265,1),(266,1)}
       223:{1,3,5}:{(176,1),(177,1),(196,1),(265,1),(267,1),(343,1)}
       224:{1,4,6}:{(178,1),(180,1),(183,1),(268,1),(269,1),(400,1)}
       225:{2,4,7}:{(178,1),(179,1),(184,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(185,1),(270,1),(271,1),(280,1)}
       227:{2,4,5}:{(180,1),(187,1),(268,1),(272,1),(281,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(188,1),(269,1),(273,1),(274,1),(289,1),(341,1),(348,1),(359,1),(394,1)}
       229:{2,4,6}:{(181,1),(182,1),(189,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(271,1),(275,1),(276,1),(399,1)}
       231:{2,5,6}:{(183,1),(187,1),(194,1),(268,1),(278,1),(283,1),(332,1)}
       232:{1,3,5,7}:{(183,1),(184,1),(195,1),(198,1),(259,1),(269,1),(278,1),(279,1),(333,1),(346,1),(348,1),(398,1)}
       233:{2,3,6,7}:{(184,1),(185,1),(189,1),(199,1),(260,1),(270,1),(279,1)}
       234:{3,5,6,7}:{(185,1),(186,1),(190,1),(271,1),(280,1),(398,1),(421,1)}
       235:{2,3,5}:{(187,1),(191,1),(200,1),(261,1),(272,1),(281,1)}
       236:{2,5,7}:{(187,1),(188,1),(192,1),(283,1)}
       237:{1,3,6}:{(188,1),(189,1),(202,1),(263,1),(274,1),(283,1),(350,1),(395,1),(426,1)}
       238:{4,6}:{(190,1),(193,1)}
       239:{2,3,7}:{(191,1),(192,1),(203,1),(264,1),(346,1)}
       240:{2,3,6}:{(194,1),(196,1),(204,1),(265,1),(284,1),(285,1)}
       241:{2,7}:{(194,1),(195,1)}
       242:{2,4}:{(196,1),(206,1),(267,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(204,1),(277,1),(286,1),(287,1),(290,1),(291,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(205,1),(278,1),(287,1),(288,1),(356,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(202,1),(395,1)}
       246:{1,4}:{(200,1),(281,1)}
       247:{1,3,5,7}:{(200,1),(201,1),(203,1),(282,1),(289,1),(290,1),(359,1)}
       248:{1,2,6}:{(201,1),(202,1),(283,1),(290,1),(426,1)}
       249:{1,3,4,6}:{(204,1),(206,1),(284,1),(286,1),(291,1),(292,1),(345,1),(360,1)}
       250:{1,3,7}:{(204,1),(205,1),(285,1),(346,1)}
       251:{2,3,6}:{(207,1),(209,1),(294,1),(295,1),(309,1)}
       252:{1,3,5}:{(207,1),(208,1),(211,1),(294,1),(296,1)}
       253:{2,4}:{(208,1),(296,1),(297,1)}
       254:{1,4,6}:{(209,1),(211,1),(213,1),(294,1),(299,1)}
       255:{2,4,7}:{(209,1),(210,1),(214,1),(295,1),(299,1),(364,1)}
       256:{1,2,4,5}:{(211,1),(212,1),(217,1),(227,1),(296,1),(298,1),(300,1),(304,1),(365,1),(368,1),(406,1)}
       257:{1,3}:{(212,1),(297,1)}
       258:{1,2,5,6}:{(213,1),(217,1),(222,1),(231,1),(298,1),(301,1),(302,1),(306,1),(406,1),(424,1)}
       259:{1,5,7}:{(213,1),(214,1),(299,1),(303,1)}
       260:{2,6,7}:{(214,1),(215,1),(219,1),(303,1),(424,1)}
       261:{1,3,5}:{(217,1),(220,1),(235,1),(304,1)}
       262:{1,2,5,7}:{(217,1),(218,1),(221,1),(236,1),(305,1),(306,1),(372,1)}
       263:{1,6}:{(218,1),(219,1)}
       264:{1,3,7}:{(220,1),(221,1),(239,1)}
       265:{1,3,6}:{(222,1),(223,1),(240,1),(307,1),(308,1)}
       266:{1,2,7}:{(222,1),(241,1),(308,1)}
       267:{1,4}:{(223,1),(242,1)}
       268:{2,4,6}:{(224,1),(227,1),(231,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(232,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(233,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(230,1),(312,1),(313,1)}
       272:{3,5}:{(227,1),(309,1),(314,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(236,1),(310,1),(315,1),(316,1),(321,1),(376,1),(381,1),(413,1),(414,1)}
       274:{1,4,6}:{(228,1),(229,1),(237,1),(316,1),(317,1)}
       275:{2,5,6}:{(229,1),(230,1),(312,1),(317,1),(381,1)}
       276:{4,5,6}:{(230,1),(238,1),(313,1),(414,1),(425,1)}
       277:{2,3,5,6}:{(231,1),(235,1),(240,1),(243,1),(301,1),(309,1),(318,1),(319,1),(322,1),(323,1),(363,1),(373,1),(378,1),(381,1),(382,1),(406,1),(411,1),(415,1),(424,1)}
       278:{2,5,7}:{(231,1),(232,1),(241,1),(310,1),(320,1),(364,1)}
       279:{1,3,6,7}:{(232,1),(233,1),(237,1),(245,1),(303,1),(311,1),(320,1),(375,1)}
       280:{4,6,7}:{(234,1),(238,1),(313,1),(413,1),(425,1)}
       281:{2,4}:{(235,1),(246,1),(304,1),(314,1)}
       282:{2,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(305,1),(315,1),(321,1),(322,1),(381,1)}
       283:{2,6}:{(236,1),(237,1)}
       284:{2,4,6}:{(240,1),(242,1),(249,1),(307,1),(323,1),(324,1),(382,1)}
       285:{2,3,7}:{(240,1),(241,1),(250,1),(308,1),(324,1)}
       286:{1,4,6}:{(243,1),(246,1),(318,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(250,1),(319,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(248,1),(320,1),(327,1),(382,1)}
       289:{1,4,7}:{(246,1),(247,1),(321,1),(328,1)}
       290:{1,3,6}:{(247,1),(248,1),(322,1),(328,1)}
       291:{1,3,5}:{(249,1),(323,1),(325,1),(373,1)}
       292:{1,3,4,7}:{(249,1),(250,1),(324,1),(326,1),(329,1),(374,1)}
       293:{1,2,4}:{(253,1),(330,1),(331,1),(387,1)}
       294:{1,3,6}:{(251,1),(252,1),(254,1),(332,1),(333,1)}
       295:{2,3,7}:{(251,1),(255,1),(333,1),(346,1)}
       296:{2,5}:{(252,1),(253,1),(332,1)}
       297:{2,3}:{(253,1),(257,1),(331,1)}
       298:{1,2,4,6}:{(254,1),(256,1),(258,1),(268,1),(332,1),(335,1),(336,1),(338,1),(388,1)}
       299:{1,4,7}:{(254,1),(255,1),(259,1),(333,1)}
       300:{1,3,5}:{(256,1),(257,1),(272,1),(334,1),(335,1),(337,1)}
       301:{1,3,5,6}:{(258,1),(261,1),(265,1),(277,1),(335,1),(338,1),(339,1),(342,1),(343,1),(390,1),(394,1),(395,1),(419,1),(420,1)}
       302:{1,2,5,7}:{(258,1),(259,1),(266,1),(278,1),(336,1),(339,1),(340,1),(418,1)}
       303:{1,6,7}:{(259,1),(260,1),(263,1),(426,1)}
       304:{1,4}:{(261,1),(281,1)}
       305:{1,3,5,7}:{(261,1),(262,1),(264,1),(282,1),(341,1),(342,1),(394,1)}
       306:{1,2,6}:{(262,1),(263,1),(283,1),(342,1),(395,1)}
       307:{1,4,6}:{(265,1),(267,1),(284,1),(343,1),(344,1),(395,1)}
       308:{1,3,7}:{(265,1),(266,1),(285,1),(344,1)}
       309:{3,6}:{(268,1),(272,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(278,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(279,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(275,1),(348,1)}
       313:{4,5,7}:{(271,1),(276,1),(280,1)}
       314:{3,4}:{(272,1),(281,1)}
       315:{3,5,7}:{(272,1),(273,1),(346,1),(349,1),(350,1),(399,1)}
       316:{2,4,6}:{(273,1),(274,1),(283,1),(350,1),(351,1),(400,1)}
       317:{1,5,6}:{(274,1),(275,1),(348,1),(351,1),(359,1),(394,1)}
       318:{2,4,6}:{(277,1),(281,1),(286,1),(338,1),(345,1),(352,1),(353,1),(400,1)}
       319:{2,3,5,7}:{(277,1),(278,1),(285,1),(287,1),(339,1),(346,1),(353,1),(354,1),(356,1),(389,1),(396,1),(398,1),(402,1),(418,1)}
       320:{2,6,7}:{(278,1),(279,1),(283,1)}
       321:{2,4,7}:{(281,1),(282,1),(289,1),(341,1),(349,1),(355,1)}
       322:{2,3,6}:{(282,1),(283,1),(290,1),(342,1),(350,1),(355,1)}
       323:{2,5}:{(284,1),(291,1),(343,1)}
       324:{2,4,7}:{(284,1),(285,1),(292,1),(344,1),(356,1)}
       325:{1,4,5}:{(286,1),(291,1),(352,1),(359,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(353,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(290,1),(354,1),(358,1),(360,1),(426,1)}
       328:{1,4,6}:{(289,1),(290,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(291,1),(292,1),(356,1),(357,1),(360,1),(396,1)}
       330:{1,2,5}:{(293,1),(296,1),(361,1),(362,1)}
       331:{1,3}:{(293,1),(297,1)}
       332:{2,6}:{(294,1),(296,1),(364,1)}
       333:{1,3,7}:{(294,1),(295,1),(299,1),(364,1)}
       334:{2,3,5}:{(296,1),(297,1),(300,1),(362,1),(363,1),(365,1),(406,1)}
       335:{1,3,6}:{(298,1),(300,1),(309,1),(363,1),(367,1)}
       336:{1,2,4,7}:{(298,1),(299,1),(302,1),(310,1),(364,1),(367,1),(369,1),(407,1)}
       337:{1,3,4}:{(300,1),(304,1),(314,1),(365,1)}
       338:{1,4,6}:{(301,1),(304,1),(318,1),(368,1),(369,1)}
       339:{1,3,5,7}:{(301,1),(302,1),(308,1),(319,1),(367,1),(369,1),(370,1),(372,1),(410,1)}
       340:{1,2,6,7}:{(302,1),(303,1),(306,1),(320,1),(370,1),(424,1)}
       341:{1,4,7}:{(304,1),(305,1),(321,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(322,1),(371,1)}
       343:{1,5}:{(307,1),(323,1)}
       344:{1,4,7}:{(307,1),(308,1),(324,1),(372,1)}
       345:{3,4,6}:{(309,1),(314,1),(318,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(320,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(317,1),(376,1)}
       349:{3,4,7}:{(314,1),(315,1),(321,1),(377,1),(413,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{2,5,6}:{(316,1),(317,1),(376,1),(378,1),(381,1)}
       352:{2,4,5}:{(318,1),(323,1),(325,1),(368,1),(373,1),(381,1),(406,1),(414,1)}
       353:{2,4,7}:{(318,1),(319,1),(326,1),(369,1),(374,1),(413,1)}
       354:{2,3,6,7}:{(319,1),(320,1),(322,1),(327,1),(370,1),(375,1),(380,1),(382,1),(411,1),(424,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(377,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(329,1),(379,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(328,1),(380,1),(383,1),(384,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(383,1),(411,1)}
       361:{1,2,6}:{(330,1),(332,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(385,1),(387,1),(416,1)}
       363:{2,3,6}:{(332,1),(334,1),(335,1),(385,1),(388,1),(389,1)}
       364:{2,7}:{(332,1),(333,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,4,6}:{(335,1),(337,1),(338,1),(345,1),(388,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(335,1),(336,1),(346,1),(389,1)}
       368:{1,4,5}:{(338,1),(343,1),(352,1),(390,1),(394,1)}
       369:{1,4,7}:{(338,1),(339,1),(353,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(342,1),(354,1),(393,1),(395,1),(419,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(352,1)}
       374:{3,4,7}:{(345,1),(346,1),(353,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(350,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(351,1),(398,1)}
       377:{3,4,6}:{(349,1),(350,1),(355,1),(399,1),(400,1)}
       378:{3,5,6}:{(350,1),(351,1),(398,1),(399,1),(400,1)}
       379:{2,4,5,7}:{(352,1),(353,1),(356,1),(357,1),(392,1),(396,1),(401,1),(402,1),(418,1),(422,1)}
       380:{2,4,6,7}:{(353,1),(354,1),(355,1),(358,1),(393,1),(397,1),(401,1),(402,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(399,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,4,6}:{(357,1),(360,1),(401,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(359,1),(402,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(363,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(364,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,4,6}:{(363,1),(365,1),(366,1),(404,1),(406,1),(407,1),(424,1)}
       389:{2,3,7}:{(363,1),(364,1),(367,1),(405,1),(407,1)}
       390:{1,3,5}:{(366,1),(368,1),(373,1),(406,1)}
       391:{1,3,4,7}:{(366,1),(367,1),(369,1),(374,1),(407,1),(408,1)}
       392:{1,4,5,7}:{(368,1),(369,1),(372,1),(379,1),(408,1),(409,1),(410,1)}
       393:{1,4,6,7}:{(369,1),(370,1),(371,1),(380,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(379,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{3,5}:{(377,1),(381,1),(414,1)}
       400:{4,6}:{(378,1),(413,1),(414,1)}
       401:{2,4,6}:{(379,1),(382,1),(383,1),(409,1),(411,1),(415,1),(424,1),(425,1)}
       402:{2,5,7}:{(380,1),(381,1),(384,1),(410,1),(412,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,4,6}:{(385,1),(387,1),(388,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(389,1),(417,1)}
       406:{2,5}:{(388,1),(390,1),(416,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(392,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(392,1),(395,1),(401,1),(419,1),(420,1)}
       410:{1,5,7}:{(393,1),(394,1),(402,1),(420,1)}
       411:{3,6}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(400,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(421,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{3,5,6}:{(411,1),(412,1),(415,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 904 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 905 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 906 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 907 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(16,1),(18,1),(126,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(32,1),(57,1),(104,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(9,1),(31,1),(33,1),(35,1)}
         3:{1,3,7}:{(0,1),(5,1),(9,1),(144,1),(177,1)}
         4:{1,2,7}:{(12,1),(13,1),(158,1),(169,1)}
         5:{2,3,7}:{(3,1),(13,1),(15,1),(16,1),(143,1),(159,1),(169,1)}
         6:{1,2,6}:{(1,1),(17,1),(51,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(19,1),(52,1),(81,1),(127,1),(129,1)}
         8:{1,2,5}:{(2,1),(19,1),(50,1),(52,1),(89,1)}
         9:{1,3,6}:{(2,1),(3,1),(15,1),(19,1),(168,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(18,1),(20,1),(21,1),(46,1),(103,1),(143,1),(160,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(25,1),(59,1),(109,1)}
        12:{1,2,6}:{(4,1),(25,1),(26,1),(155,1)}
        13:{1,3,7}:{(4,1),(5,1),(26,1),(27,1),(170,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(24,1),(28,1),(29,1),(30,1),(32,1),(58,1),(69,1),(70,1),(107,1),(109,1)}
        15:{2,3,6}:{(5,1),(9,1),(26,1),(30,1),(31,1),(124,1),(155,1)}
        16:{2,4,7}:{(5,1),(10,1),(27,1),(31,1),(32,1),(171,1)}
        17:{1,3,6}:{(6,1),(7,1),(28,1),(33,1),(147,1)}
        18:{1,4,7}:{(7,1),(29,1),(33,1),(35,1),(145,1)}
        19:{1,3,5}:{(8,1),(9,1),(30,1),(35,1),(115,1),(154,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(35,1),(36,1),(37,1),(68,1),(72,1),(78,1),(124,1)}
        21:{1,3,5,7}:{(10,1),(32,1),(34,1),(36,1),(37,1),(69,1),(172,1),(185,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(41,1),(42,1),(83,1)}
        23:{1,2,6}:{(11,1),(40,1),(132,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(14,1),(39,1),(40,1),(41,1),(43,1),(45,1),(84,1),(87,1)}
        25:{1,2,5}:{(12,1),(42,1),(43,1),(138,1)}
        26:{1,3,6}:{(12,1),(13,1),(15,1),(43,1),(44,1)}
        27:{1,4,7}:{(13,1),(16,1),(44,1),(45,1),(178,1)}
        28:{2,3,6}:{(14,1),(17,1),(40,1),(47,1),(51,1),(96,1),(132,1)}
        29:{2,4,7}:{(14,1),(18,1),(41,1),(46,1),(47,1),(49,1),(130,1)}
        30:{2,3,5}:{(15,1),(19,1),(43,1),(49,1),(50,1),(90,1),(99,1),(138,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(44,1),(49,1),(50,1),(51,1)}
        32:{2,5,7}:{(16,1),(21,1),(45,1),(50,1),(51,1),(179,1),(187,1)}
        33:{1,4,6}:{(17,1),(18,1),(47,1),(52,1)}
        34:{1,4,5,7}:{(18,1),(21,1),(48,1),(52,1),(53,1),(54,1),(102,1),(103,1),(129,1),(161,1),(181,1)}
        35:{1,4}:{(19,1),(49,1)}
        36:{1,3,5}:{(20,1),(50,1),(52,1),(54,1),(95,1),(99,1)}
        37:{1,3,6}:{(21,1),(51,1),(53,1),(96,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(59,1),(60,1),(62,1),(108,1),(110,1)}
        39:{1,3,7}:{(22,1),(58,1),(60,1),(64,1),(188,1)}
        40:{1,3,6}:{(23,1),(24,1),(28,1),(62,1),(67,1)}
        41:{1,4,7}:{(24,1),(29,1),(62,1),(65,1),(110,1)}
        42:{1,2,4}:{(25,1),(64,1),(65,1),(116,1)}
        43:{1,3,5}:{(25,1),(26,1),(30,1),(64,1),(65,1),(66,1)}
        44:{1,4,6}:{(26,1),(27,1),(31,1),(65,1),(66,1),(67,1)}
        45:{1,5,7}:{(27,1),(32,1),(66,1),(67,1),(183,1),(188,1)}
        46:{3,4,7}:{(29,1),(68,1),(69,1),(72,1),(148,1),(157,1)}
        47:{2,4,6}:{(28,1),(29,1),(33,1),(62,1),(68,1),(70,1)}
        48:{2,4,5,7}:{(29,1),(32,1),(34,1),(63,1),(69,1),(70,1),(71,1),(73,1),(109,1),(120,1),(123,1),(125,1),(149,1),(157,1),(176,1)}
        49:{2,4}:{(30,1),(35,1),(65,1),(72,1)}
        50:{2,5}:{(31,1),(36,1),(66,1)}
        51:{2,6}:{(32,1),(37,1),(67,1)}
        52:{1,5}:{(33,1),(70,1)}
        53:{1,4,6}:{(34,1),(37,1),(71,1),(76,1),(147,1)}
        54:{1,4,5}:{(35,1),(36,1),(73,1),(78,1),(120,1),(154,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(74,1),(76,1),(78,1),(79,1),(121,1),(124,1)}
        56:{1,3,6,7}:{(37,1),(75,1),(77,1),(79,1),(122,1),(185,1)}
        57:{1,2,7}:{(80,1),(81,1),(89,1),(187,1)}
        58:{2,3,7}:{(39,1),(81,1),(82,1),(83,1),(90,1),(182,1),(187,1)}
        59:{1,2,5}:{(38,1),(84,1),(87,1),(131,1),(158,1)}
        60:{1,3,6}:{(38,1),(39,1),(82,1),(84,1),(186,1)}
        61:{1,3,4,7}:{(39,1),(41,1),(46,1),(83,1),(85,1),(86,1),(91,1),(167,1),(182,1)}
        62:{1,4,6}:{(40,1),(41,1),(47,1),(87,1)}
        63:{1,4,5,7}:{(41,1),(45,1),(48,1),(86,1),(87,1),(88,1),(92,1),(133,1),(136,1),(140,1),(167,1)}
        64:{1,3}:{(42,1),(90,1)}
        65:{1,4}:{(43,1),(49,1)}
        66:{1,5}:{(44,1),(50,1)}
        67:{1,6}:{(45,1),(51,1)}
        68:{3,4,6}:{(46,1),(47,1),(95,1),(96,1),(141,1)}
        69:{3,5,7}:{(46,1),(48,1),(95,1),(96,1),(99,1),(143,1),(164,1),(182,1)}
        70:{2,5}:{(47,1),(52,1),(87,1),(95,1)}
        71:{2,4,6}:{(48,1),(51,1),(53,1),(88,1),(96,1),(97,1),(132,1),(141,1)}
        72:{3,4}:{(49,1),(99,1)}
        73:{2,4,5}:{(49,1),(50,1),(54,1),(92,1),(99,1),(100,1),(138,1)}
        74:{2,5,6}:{(50,1),(51,1),(55,1),(93,1),(100,1),(101,1)}
        75:{2,6,7}:{(51,1),(56,1),(94,1),(101,1),(187,1)}
        76:{1,5,6}:{(52,1),(53,1),(97,1),(102,1)}
        77:{1,4,6,7}:{(53,1),(56,1),(98,1),(102,1),(103,1),(163,1),(181,1)}
        78:{1,4,6}:{(54,1),(55,1),(100,1),(103,1),(141,1),(168,1)}
        79:{1,3,5,7}:{(55,1),(56,1),(101,1),(102,1),(103,1),(142,1),(143,1)}
        80:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        81:{1,3,7}:{(57,1),(58,1),(105,1),(106,1),(115,1)}
        82:{2,3,6}:{(58,1),(60,1),(105,1),(107,1),(108,1),(175,1),(184,1)}
        83:{2,4,7}:{(58,1),(61,1),(106,1),(108,1),(109,1),(116,1)}
        84:{1,3,5}:{(59,1),(60,1),(107,1),(110,1),(170,1),(183,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(62,1),(68,1),(108,1),(110,1),(111,1),(112,1),(148,1),(152,1),(175,1)}
        86:{1,3,5,7}:{(61,1),(63,1),(69,1),(109,1),(111,1),(112,1),(117,1),(156,1)}
        87:{1,5}:{(62,1),(70,1)}
        88:{1,4,6}:{(63,1),(67,1),(71,1),(112,1),(113,1)}
        89:{1,2}:{(115,1)}
        90:{2,3}:{(64,1),(115,1),(116,1)}
        91:{1,3,4}:{(64,1),(65,1),(72,1),(116,1),(117,1)}
        92:{1,4,5}:{(65,1),(66,1),(73,1),(117,1),(118,1)}
        93:{1,5,6}:{(66,1),(67,1),(74,1),(118,1),(119,1)}
        94:{1,6,7}:{(67,1),(75,1),(119,1),(188,1)}
        95:{3,5}:{(68,1),(70,1),(120,1)}
        96:{3,6}:{(69,1),(71,1)}
        97:{2,5,6}:{(70,1),(71,1),(76,1),(113,1),(121,1),(123,1)}
        98:{2,4,6,7}:{(71,1),(75,1),(77,1),(114,1),(122,1),(123,1),(125,1),(151,1),(157,1),(176,1)}
        99:{3,5}:{(72,1),(73,1),(124,1)}
       100:{2,4,6}:{(73,1),(74,1),(78,1),(118,1),(124,1),(125,1),(155,1)}
       101:{2,5,7}:{(74,1),(75,1),(79,1),(119,1),(125,1)}
       102:{1,5,7}:{(76,1),(77,1),(123,1)}
       103:{1,4,7}:{(78,1),(79,1),(125,1),(157,1),(177,1)}
       104:{1,2,5}:{(80,1),(126,1),(127,1),(179,1)}
       105:{1,3,6}:{(80,1),(81,1),(82,1),(127,1),(128,1)}
       106:{1,4,7}:{(81,1),(83,1),(128,1),(129,1),(137,1)}
       107:{2,3,5}:{(82,1),(84,1),(127,1),(130,1),(131,1),(159,1),(164,1),(179,1)}
       108:{2,4,6}:{(82,1),(83,1),(85,1),(128,1),(130,1),(131,1),(132,1)}
       109:{2,5,7}:{(83,1),(86,1),(129,1),(131,1),(132,1),(138,1),(169,1)}
       110:{1,4}:{(84,1),(130,1)}
       111:{1,3,5}:{(85,1),(87,1),(95,1),(131,1),(133,1),(164,1)}
       112:{1,3,6}:{(86,1),(88,1),(96,1),(132,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(136,1)}
       114:{1,4,6,7}:{(88,1),(94,1),(98,1),(135,1),(136,1),(140,1),(167,1)}
       115:{1,3}:{(89,1),(90,1),(137,1)}
       116:{2,4}:{(90,1),(91,1),(137,1),(138,1)}
       117:{1,3,5}:{(91,1),(92,1),(99,1),(138,1),(139,1)}
       118:{1,4,6}:{(92,1),(93,1),(100,1),(139,1),(140,1)}
       119:{1,5,7}:{(93,1),(94,1),(101,1),(140,1)}
       120:{4,5}:{(95,1),(141,1)}
       121:{3,5,6}:{(95,1),(96,1),(97,1),(141,1),(142,1)}
       122:{3,6,7}:{(96,1),(98,1),(142,1),(143,1),(182,1)}
       123:{2,5,7}:{(97,1),(98,1),(102,1),(136,1),(142,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{2,4,7}:{(100,1),(101,1),(103,1),(140,1),(143,1),(169,1)}
       126:{1,2,4}:{(104,1),(144,1),(145,1),(171,1)}
       127:{1,3,5}:{(104,1),(105,1),(107,1),(144,1),(145,1),(146,1)}
       128:{1,4,6}:{(105,1),(106,1),(108,1),(145,1),(146,1),(147,1)}
       129:{1,5,7}:{(106,1),(109,1),(146,1),(147,1),(154,1),(177,1)}
       130:{2,4}:{(107,1),(110,1),(145,1),(148,1)}
       131:{2,5}:{(108,1),(111,1),(146,1)}
       132:{2,6}:{(109,1),(112,1),(147,1)}
       133:{1,4,5}:{(110,1),(111,1),(120,1),(149,1),(152,1),(183,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(113,1),(121,1),(150,1),(152,1),(153,1),(175,1)}
       135:{1,3,6,7}:{(112,1),(114,1),(122,1),(151,1),(153,1),(156,1)}
       136:{1,5,7}:{(113,1),(114,1),(123,1)}
       137:{1,4}:{(115,1),(116,1),(154,1)}
       138:{2,5}:{(116,1),(117,1),(154,1),(155,1)}
       139:{1,3,6}:{(117,1),(118,1),(124,1),(155,1),(156,1)}
       140:{1,4,7}:{(118,1),(119,1),(125,1),(156,1)}
       141:{4,6}:{(120,1),(121,1),(157,1)}
       142:{3,5,7}:{(121,1),(122,1),(123,1),(157,1)}
       143:{3,7}:{(124,1),(125,1)}
       144:{1,3}:{(126,1),(159,1)}
       145:{1,4}:{(127,1),(130,1)}
       146:{1,5}:{(128,1),(131,1)}
       147:{1,6}:{(129,1),(132,1)}
       148:{3,4}:{(130,1),(164,1)}
       149:{2,4,5}:{(130,1),(131,1),(133,1),(161,1),(164,1),(165,1),(179,1)}
       150:{2,5,6}:{(131,1),(132,1),(134,1),(162,1),(165,1),(166,1)}
       151:{2,6,7}:{(132,1),(135,1),(163,1),(166,1),(169,1)}
       152:{1,4,6}:{(133,1),(134,1),(141,1),(165,1),(167,1),(186,1)}
       153:{1,3,5,7}:{(134,1),(135,1),(136,1),(142,1),(166,1),(167,1),(182,1)}
       154:{1,5}:{(137,1),(138,1),(168,1)}
       155:{2,6}:{(138,1),(139,1),(168,1),(169,1)}
       156:{1,3,7}:{(139,1),(140,1),(143,1),(169,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,2}:{(170,1)}
       159:{2,3}:{(144,1),(170,1),(171,1)}
       160:{1,3,4}:{(144,1),(145,1),(148,1),(171,1),(172,1)}
       161:{1,4,5}:{(145,1),(146,1),(149,1),(172,1),(173,1)}
       162:{1,5,6}:{(146,1),(147,1),(150,1),(173,1),(174,1)}
       163:{1,6,7}:{(147,1),(151,1),(174,1),(177,1)}
       164:{3,5}:{(148,1),(149,1),(175,1)}
       165:{2,4,6}:{(149,1),(150,1),(152,1),(173,1),(175,1),(176,1),(184,1)}
       166:{2,5,7}:{(150,1),(151,1),(153,1),(174,1),(176,1)}
       167:{1,4,7}:{(152,1),(153,1),(157,1),(176,1),(188,1)}
       168:{1,6}:{(154,1),(155,1),(177,1)}
       169:{2,7}:{(155,1),(156,1),(177,1)}
       170:{1,3}:{(158,1),(159,1),(178,1)}
       171:{2,4}:{(159,1),(160,1),(178,1),(179,1)}
       172:{1,3,5}:{(160,1),(161,1),(164,1),(179,1),(180,1)}
       173:{1,4,6}:{(161,1),(162,1),(165,1),(180,1),(181,1)}
       174:{1,5,7}:{(162,1),(163,1),(166,1),(181,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{2,4,7}:{(165,1),(166,1),(167,1),(181,1),(182,1),(187,1)}
       177:{1,7}:{(168,1),(169,1)}
       178:{1,4}:{(170,1),(171,1),(183,1)}
       179:{2,5}:{(171,1),(172,1),(183,1),(184,1)}
       180:{1,3,6}:{(172,1),(173,1),(175,1),(184,1),(185,1)}
       181:{1,4,7}:{(173,1),(174,1),(176,1),(185,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 908 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 909 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 910 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 911 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 912 :   0:{1,2,6,7}:{(4,1),(6,1),(162,1),(248,1),(251,1),(262,1),(313,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(82,1),(86,1),(161,1),(162,1),(164,1),(177,1),(235,1),(251,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(95,1),(162,1),(313,1),(316,1),(367,1)}
         3:{2,3,5,6}:{(5,1),(9,1),(10,1),(33,1),(36,1),(38,1),(82,1),(95,1),(162,1),(235,1),(238,1),(308,1),(316,1),(370,1),(374,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(14,1),(15,1),(119,1),(207,1),(292,1)}
         5:{1,3,5,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(18,1),(49,1),(51,1),(55,1),(119,1),(121,1),(207,1),(209,1),(292,1),(358,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(15,1),(17,1),(120,1),(124,1),(205,1),(220,1),(276,1)}
         7:{1,2,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(53,1),(201,1),(214,1),(270,1),(284,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(22,1),(62,1),(348,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(15,1),(20,1),(22,1),(54,1),(63,1),(120,1),(276,1),(340,1),(387,1)}
        10:{2,4,6}:{(3,1),(16,1),(21,1),(22,1),(23,1),(280,1),(390,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(148,1),(162,1),(262,1),(265,1),(330,1)}
        12:{2,3,5,6}:{(5,1),(25,1),(26,1),(33,1),(69,1),(71,1),(82,1),(148,1),(162,1),(177,1),(180,1),(257,1),(265,1),(333,1),(337,1)}
        13:{1,2,4,5}:{(7,1),(27,1),(29,1),(75,1),(82,1),(157,1),(164,1),(174,1),(232,1),(240,1),(243,1),(253,1)}
        14:{1,4,6,7}:{(4,1),(8,1),(24,1),(28,1),(30,1),(80,1),(328,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(28,1),(30,1),(32,1),(85,1),(163,1)}
        16:{1,4,6}:{(5,1),(10,1),(26,1),(29,1),(30,1),(253,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(30,1),(32,1),(83,1),(245,1),(256,1),(307,1),(320,1)}
        18:{1,3,6}:{(7,1),(27,1),(32,1),(33,1),(257,1),(308,1)}
        19:{3,4,6,7}:{(8,1),(34,1),(39,1),(89,1),(95,1),(367,1),(371,1),(401,1)}
        20:{2,5,7}:{(8,1),(28,1),(34,1),(36,1),(374,1)}
        21:{2,4,5}:{(10,1),(29,1),(38,1),(82,1),(374,1),(404,1)}
        22:{2,4,7}:{(9,1),(10,1),(30,1),(39,1),(401,1)}
        23:{3,4,6}:{(10,1),(38,1),(39,1),(95,1),(308,1),(312,1)}
        24:{2,4,6,7}:{(11,1),(14,1),(41,1),(42,1),(44,1),(106,1),(304,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(15,1),(42,1),(44,1),(54,1),(107,1),(120,1),(220,1),(296,1),(359,1)}
        26:{2,4,6}:{(12,1),(16,1),(43,1),(44,1),(45,1),(224,1),(362,1)}
        27:{1,3,5}:{(13,1),(18,1),(46,1),(47,1),(218,1),(274,1),(282,1)}
        28:{1,5,7}:{(14,1),(20,1),(42,1),(49,1),(358,1)}
        29:{1,4,5}:{(16,1),(21,1),(43,1),(51,1),(121,1),(358,1)}
        30:{1,4,7}:{(15,1),(16,1),(22,1),(44,1)}
        31:{1,3,4,6}:{(16,1),(18,1),(23,1),(45,1),(46,1),(51,1),(52,1),(53,1),(119,1)}
        32:{1,3,7}:{(17,1),(18,1),(54,1),(296,1),(340,1)}
        33:{2,3,6}:{(18,1),(47,1),(53,1),(54,1),(55,1),(284,1)}
        34:{3,5,7}:{(19,1),(20,1),(56,1),(57,1),(391,1)}
        35:{2,4,5,6}:{(21,1),(48,1),(60,1),(61,1),(62,1),(118,1),(127,1),(128,1),(215,1),(270,1),(342,1),(347,1),(390,1),(393,1)}
        36:{2,5,6}:{(20,1),(49,1),(56,1),(62,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(50,1),(57,1),(62,1),(63,1),(120,1)}
        38:{3,5}:{(21,1),(23,1)}
        39:{3,4,7}:{(22,1),(23,1),(63,1),(340,1)}
        40:{2,3,4,6}:{(23,1),(53,1),(64,1),(65,1),(66,1),(111,1),(127,1),(135,1),(196,1),(197,1),(280,1),(341,1),(348,1),(353,1)}
        41:{3,4,6,7}:{(24,1),(67,1),(72,1),(142,1),(148,1),(330,1),(334,1),(382,1)}
        42:{2,5,7}:{(24,1),(28,1),(67,1),(69,1),(337,1)}
        43:{2,4,5}:{(26,1),(29,1),(71,1),(82,1),(337,1),(385,1)}
        44:{2,4,7}:{(25,1),(26,1),(30,1),(72,1),(382,1)}
        45:{3,4,6}:{(26,1),(71,1),(72,1),(148,1),(257,1),(261,1)}
        46:{1,3,4}:{(27,1),(75,1),(253,1),(261,1),(312,1)}
        47:{2,3,5}:{(27,1),(33,1),(75,1),(76,1),(82,1),(243,1),(244,1)}
        48:{1,4,5,6}:{(29,1),(35,1),(68,1),(78,1),(79,1),(80,1),(161,1),(170,1),(228,1),(258,1),(309,1),(327,1),(381,1)}
        49:{1,5,6}:{(28,1),(36,1),(69,1),(80,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(30,1),(37,1),(70,1),(80,1),(81,1),(163,1)}
        51:{1,3,5}:{(29,1),(31,1),(38,1),(71,1),(82,1)}
        52:{1,3,4,7}:{(30,1),(31,1),(32,1),(39,1),(72,1),(81,1),(83,1)}
        53:{2,4,6}:{(31,1),(33,1),(75,1),(82,1),(83,1),(84,1),(162,1)}
        54:{2,3,7}:{(32,1),(33,1),(83,1),(85,1),(320,1)}
        55:{1,3,6}:{(33,1),(76,1),(84,1),(85,1),(86,1)}
        56:{3,5,6}:{(34,1),(36,1),(89,1),(95,1)}
        57:{4,5,7}:{(34,1),(89,1),(401,1),(404,1)}
        58:{3,4,5}:{(38,1),(88,1),(91,1),(312,1),(369,1),(404,1)}
        59:{2,5,6,7}:{(36,1),(77,1),(87,1),(92,1),(254,1),(366,1),(405,1)}
        60:{2,4,5,7}:{(35,1),(78,1),(92,1),(93,1),(160,1),(167,1),(169,1),(254,1),(307,1),(366,1),(401,1)}
        61:{3,5,6}:{(35,1),(38,1),(88,1),(93,1),(95,1),(308,1),(369,1),(403,1)}
        62:{2,4,6}:{(36,1),(37,1),(80,1),(89,1),(95,1),(162,1)}
        63:{3,5,7}:{(37,1),(38,1),(39,1),(95,1)}
        64:{2,3,5}:{(38,1),(40,1),(82,1),(91,1),(97,1),(369,1),(374,1),(378,1)}
        65:{2,3,4,7}:{(39,1),(40,1),(83,1),(96,1),(98,1),(169,1),(239,1),(241,1),(317,1),(368,1),(377,1)}
        66:{1,3,4,6}:{(40,1),(84,1),(97,1),(98,1),(99,1),(154,1),(166,1),(170,1),(178,1),(242,1),(253,1),(257,1),(261,1),(328,1),(334,1),(376,1)}
        67:{3,5,7}:{(41,1),(42,1),(100,1),(101,1),(363,1)}
        68:{2,4,5,6}:{(43,1),(48,1),(104,1),(105,1),(106,1),(118,1),(184,1),(185,1),(214,1),(271,1),(298,1),(303,1),(362,1),(365,1)}
        69:{2,5,6}:{(42,1),(49,1),(100,1),(106,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(50,1),(101,1),(106,1),(107,1),(120,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(107,1),(296,1)}
        73:{2,3,4,6}:{(45,1),(53,1),(108,1),(109,1),(110,1),(111,1),(139,1),(184,1),(192,1),(197,1),(224,1),(297,1),(304,1),(353,1)}
        74:{1,3,4,5}:{(46,1),(51,1),(58,1),(102,1),(112,1),(113,1),(131,1),(188,1),(198,1),(218,1),(274,1),(288,1),(355,1)}
        75:{2,4}:{(46,1),(47,1),(114,1)}
        76:{1,3,5}:{(47,1),(55,1),(114,1),(115,1),(121,1),(203,1)}
        77:{1,5,6,7}:{(49,1),(59,1),(103,1),(116,1),(294,1),(338,1),(398,1)}
        78:{1,4,5,7}:{(48,1),(60,1),(104,1),(116,1),(117,1),(205,1),(213,1),(269,1),(294,1),(338,1)}
        79:{1,3,5,6}:{(48,1),(51,1),(61,1),(105,1),(112,1),(117,1),(118,1),(119,1),(355,1),(397,1)}
        80:{1,4,6}:{(49,1),(50,1),(62,1),(106,1),(119,1),(207,1)}
        81:{1,3,5,7}:{(50,1),(51,1),(52,1),(63,1),(107,1),(119,1),(120,1)}
        82:{2,5}:{(51,1),(53,1),(121,1)}
        83:{2,4,7}:{(52,1),(53,1),(54,1),(120,1),(122,1)}
        84:{1,4,6}:{(53,1),(55,1),(114,1),(121,1),(122,1),(207,1)}
        85:{1,3,7}:{(54,1),(55,1),(122,1),(124,1)}
        86:{1,2,6}:{(55,1),(115,1),(124,1),(284,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(125,1),(132,1),(211,1),(387,1),(410,1)}
        88:{3,4,6}:{(58,1),(61,1),(126,1),(127,1),(390,1)}
        89:{4,6}:{(56,1),(57,1)}
        90:{3,4,5,7}:{(57,1),(58,1),(63,1),(126,1),(129,1),(130,1),(211,1),(344,1),(389,1),(391,1),(409,1)}
        91:{2,4,5}:{(58,1),(64,1),(127,1),(131,1),(280,1)}
        92:{2,4,6,7}:{(59,1),(60,1),(62,1),(116,1),(125,1),(132,1),(204,1),(393,1)}
        93:{3,5,7}:{(60,1),(61,1),(126,1),(132,1),(340,1)}
        94:{2,3,5,6}:{(61,1),(64,1),(118,1),(127,1),(133,1),(134,1),(135,1),(197,1),(215,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,3,5,7}:{(63,1),(64,1),(65,1),(120,1),(130,1),(135,1),(136,1),(389,1),(396,1)}
        97:{1,3,5}:{(64,1),(66,1),(121,1),(131,1),(137,1),(218,1),(358,1),(363,1),(395,1)}
        98:{1,3,4,7}:{(65,1),(66,1),(122,1),(136,1),(138,1),(210,1),(213,1),(283,1),(293,1),(296,1),(300,1),(394,1)}
        99:{2,4,6}:{(66,1),(137,1),(138,1),(139,1),(199,1),(222,1),(224,1),(284,1)}
       100:{3,5,6}:{(67,1),(69,1),(142,1),(148,1)}
       101:{4,5,7}:{(67,1),(142,1),(382,1),(385,1)}
       102:{3,4,5}:{(71,1),(141,1),(144,1),(261,1),(332,1),(385,1)}
       103:{2,5,6,7}:{(69,1),(77,1),(140,1),(145,1),(305,1),(329,1),(386,1)}
       104:{2,4,5,7}:{(68,1),(78,1),(145,1),(146,1),(160,1),(225,1),(227,1),(256,1),(305,1),(329,1),(382,1)}
       105:{3,5,6}:{(68,1),(71,1),(141,1),(146,1),(148,1),(257,1),(332,1),(384,1)}
       106:{2,4,6}:{(69,1),(70,1),(80,1),(142,1),(148,1),(162,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(148,1)}
       108:{2,3,5}:{(71,1),(73,1),(82,1),(144,1),(150,1),(332,1),(337,1),(378,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(83,1),(149,1),(151,1),(181,1),(227,1),(241,1),(266,1),(331,1),(377,1)}
       110:{1,3,4,6}:{(73,1),(84,1),(150,1),(151,1),(152,1),(154,1),(166,1),(228,1),(236,1),(242,1),(253,1),(308,1),(312,1),(328,1),(371,1),(376,1)}
       111:{2,3,4}:{(75,1),(153,1),(154,1),(244,1),(261,1),(312,1),(322,1)}
       112:{1,3,4,6}:{(74,1),(79,1),(88,1),(141,1),(155,1),(156,1),(170,1),(228,1),(242,1),(257,1),(308,1)}
       113:{2,4,5}:{(74,1),(75,1),(82,1),(153,1),(156,1),(157,1),(243,1),(322,1),(378,1)}
       114:{1,4}:{(75,1),(76,1)}
       115:{1,2,5}:{(76,1),(86,1),(158,1),(243,1)}
       116:{1,4,6,7}:{(77,1),(78,1),(80,1),(92,1),(145,1),(159,1),(248,1),(381,1)}
       117:{1,3,5,7}:{(78,1),(79,1),(93,1),(146,1),(155,1),(159,1),(160,1)}
       118:{2,5,6}:{(79,1),(82,1),(156,1),(160,1),(161,1),(162,1),(378,1),(407,1)}
       119:{1,3,6}:{(80,1),(81,1),(95,1),(148,1),(162,1)}
       120:{2,5,7}:{(81,1),(82,1),(83,1),(162,1),(163,1)}
       121:{1,5}:{(82,1),(84,1)}
       122:{1,4,7}:{(83,1),(84,1),(85,1),(163,1)}
       123:{1,2,4,6}:{(84,1),(86,1),(99,1),(152,1),(158,1),(164,1),(165,1),(166,1),(240,1),(251,1),(253,1),(318,1),(328,1),(376,1)}
       124:{1,2,7}:{(85,1),(86,1),(320,1)}
       125:{4,6,7}:{(87,1),(89,1),(167,1),(401,1),(412,1)}
       126:{3,4,7}:{(88,1),(93,1),(169,1),(401,1)}
       127:{2,4,6}:{(88,1),(91,1),(94,1),(169,1),(170,1)}
       128:{4,5,6}:{(89,1),(167,1),(171,1),(404,1),(412,1)}
       129:{3,4,6}:{(89,1),(90,1),(95,1),(171,1),(172,1),(403,1),(412,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(96,1),(169,1),(172,1),(173,1),(254,1),(317,1),(374,1)}
       131:{1,4,5}:{(91,1),(97,1),(170,1),(174,1),(253,1),(385,1)}
       132:{3,6,7}:{(92,1),(93,1),(95,1),(403,1)}
       133:{2,3,5,7}:{(93,1),(94,1),(160,1),(169,1),(175,1),(176,1),(241,1),(254,1)}
       134:{1,3,5,6}:{(94,1),(97,1),(161,1),(170,1),(176,1),(177,1),(178,1),(242,1),(257,1),(258,1),(333,1)}
       135:{2,3,6}:{(95,1),(96,1),(162,1),(172,1),(178,1),(403,1),(407,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(98,1),(163,1),(173,1),(178,1),(179,1),(260,1),(406,1)}
       137:{2,5}:{(97,1),(99,1)}
       138:{2,4,7}:{(98,1),(99,1),(179,1),(181,1),(320,1)}
       139:{2,3,6}:{(99,1),(166,1),(180,1),(181,1),(244,1),(257,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(182,1),(189,1),(267,1),(359,1),(400,1)}
       141:{3,4,6}:{(102,1),(105,1),(183,1),(184,1),(362,1)}
       142:{4,6}:{(100,1),(101,1)}
       143:{3,4,5,7}:{(101,1),(102,1),(107,1),(183,1),(186,1),(187,1),(267,1),(300,1),(361,1),(363,1),(399,1)}
       144:{2,4,5}:{(102,1),(108,1),(184,1),(188,1),(224,1)}
       145:{2,4,6,7}:{(103,1),(104,1),(106,1),(116,1),(182,1),(189,1),(204,1),(365,1)}
       146:{3,5,7}:{(104,1),(105,1),(183,1),(189,1),(296,1)}
       147:{2,3,5,6}:{(105,1),(108,1),(118,1),(184,1),(190,1),(191,1),(192,1),(197,1),(271,1)}
       148:{3,6}:{(106,1),(107,1)}
       149:{2,3,5,7}:{(107,1),(108,1),(109,1),(120,1),(187,1),(192,1),(193,1),(361,1),(396,1)}
       150:{1,3,5}:{(108,1),(110,1),(121,1),(188,1),(194,1),(274,1),(358,1),(391,1),(395,1)}
       151:{1,3,4,7}:{(109,1),(110,1),(122,1),(193,1),(195,1),(210,1),(269,1),(283,1),(293,1),(340,1),(344,1),(394,1)}
       152:{2,4,6}:{(110,1),(194,1),(195,1),(196,1),(199,1),(278,1),(280,1),(284,1)}
       153:{2,3,5}:{(111,1),(113,1),(197,1),(198,1),(218,1),(274,1)}
       154:{1,3,4}:{(111,1),(114,1),(198,1),(199,1),(203,1),(282,1),(351,1)}
       155:{1,3,4,7}:{(112,1),(117,1),(126,1),(183,1),(200,1),(213,1),(269,1),(283,1),(296,1),(340,1)}
       156:{2,4,6}:{(112,1),(113,1),(118,1),(197,1),(200,1),(201,1),(284,1)}
       157:{1,4,5}:{(113,1),(114,1),(121,1),(198,1),(201,1),(351,1),(395,1)}
       158:{1,2,4}:{(114,1),(115,1),(199,1),(203,1)}
       159:{1,3,6,7}:{(116,1),(117,1),(119,1),(132,1),(189,1),(204,1),(397,1)}
       160:{2,5,7}:{(117,1),(118,1),(200,1),(204,1),(205,1)}
       161:{1,5,6}:{(118,1),(121,1),(201,1),(205,1),(207,1),(395,1),(411,1)}
       162:{2,6}:{(119,1),(120,1),(207,1)}
       163:{1,5,7}:{(120,1),(121,1),(122,1),(207,1)}
       164:{1,2,5}:{(121,1),(123,1),(137,1),(194,1),(209,1),(358,1),(395,1)}
       165:{1,2,4,7}:{(122,1),(123,1),(124,1),(138,1),(195,1),(208,1),(210,1),(293,1),(349,1),(394,1)}
       166:{1,3,6}:{(123,1),(139,1),(196,1),(203,1),(209,1),(210,1),(282,1)}
       167:{4,5,7}:{(125,1),(128,1),(211,1)}
       168:{3,4,6,7}:{(125,1),(126,1),(129,1),(132,1),(211,1),(212,1)}
       169:{2,4,7}:{(126,1),(127,1),(133,1),(213,1)}
       170:{1,4,6}:{(127,1),(131,1),(134,1),(213,1),(214,1),(362,1)}
       171:{3,5,6}:{(128,1),(129,1),(211,1),(215,1),(391,1)}
       172:{2,4,6}:{(129,1),(130,1),(135,1),(215,1),(216,1)}
       173:{1,4,5,7}:{(130,1),(131,1),(136,1),(213,1),(216,1),(217,1),(293,1),(294,1),(358,1)}
       174:{2,4,5}:{(131,1),(137,1),(214,1),(218,1),(224,1)}
       175:{2,3,6,7}:{(132,1),(133,1),(135,1),(204,1),(212,1),(219,1)}
       176:{1,3,5,7}:{(133,1),(134,1),(205,1),(213,1),(219,1),(220,1),(283,1),(294,1),(296,1),(359,1)}
       177:{2,5,6}:{(134,1),(137,1),(214,1),(220,1),(222,1),(284,1)}
       178:{1,3,6}:{(135,1),(136,1),(207,1),(216,1),(222,1),(299,1),(411,1)}
       179:{2,5,7}:{(136,1),(137,1),(138,1),(222,1)}
       180:{2,3,5}:{(137,1),(139,1),(209,1),(218,1),(224,1)}
       181:{2,3,7}:{(138,1),(139,1),(210,1),(296,1)}
       182:{4,6,7}:{(140,1),(142,1),(225,1),(382,1),(408,1)}
       183:{3,4,7}:{(141,1),(146,1),(227,1),(382,1)}
       184:{2,4,6}:{(141,1),(144,1),(147,1),(227,1),(228,1)}
       185:{4,5,6}:{(142,1),(225,1),(229,1),(385,1),(408,1)}
       186:{3,4,6}:{(142,1),(143,1),(148,1),(229,1),(230,1),(384,1),(408,1)}
       187:{2,4,5,7}:{(143,1),(144,1),(149,1),(227,1),(230,1),(231,1),(266,1),(305,1),(337,1)}
       188:{1,4,5}:{(144,1),(150,1),(228,1),(232,1),(253,1),(404,1)}
       189:{3,6,7}:{(145,1),(146,1),(148,1),(384,1)}
       190:{2,3,5,7}:{(146,1),(147,1),(160,1),(227,1),(233,1),(234,1),(241,1),(305,1)}
       191:{1,3,5,6}:{(147,1),(150,1),(161,1),(228,1),(234,1),(235,1),(236,1),(242,1),(308,1),(309,1),(370,1)}
       192:{2,3,6}:{(148,1),(149,1),(162,1),(230,1),(236,1),(384,1),(407,1)}
       193:{1,3,5,7}:{(149,1),(150,1),(151,1),(163,1),(231,1),(236,1),(237,1),(311,1),(406,1)}
       194:{2,5}:{(150,1),(152,1)}
       195:{2,4,7}:{(151,1),(152,1),(237,1),(239,1),(320,1)}
       196:{2,3,6}:{(152,1),(166,1),(238,1),(239,1),(244,1),(308,1)}
       197:{2,3,6}:{(153,1),(156,1),(241,1),(242,1),(257,1),(308,1)}
       198:{1,3,5}:{(153,1),(154,1),(157,1),(242,1),(243,1)}
       199:{2,4}:{(154,1),(243,1),(244,1)}
       200:{2,4,7}:{(155,1),(156,1),(160,1),(241,1),(245,1),(320,1)}
       201:{1,4,6}:{(156,1),(157,1),(161,1),(242,1),(245,1)}
       202:{1,2,4,5}:{(157,1),(158,1),(164,1),(174,1),(232,1),(243,1),(246,1),(247,1),(253,1),(322,1),(327,1),(378,1)}
       203:{1,3}:{(158,1),(244,1)}
       204:{2,6,7}:{(159,1),(160,1),(162,1),(248,1),(407,1)}
       205:{1,5,7}:{(160,1),(161,1),(245,1),(248,1)}
       206:{1,2,5,6}:{(161,1),(164,1),(177,1),(235,1),(246,1),(249,1),(250,1),(251,1),(318,1),(378,1),(407,1)}
       207:{1,6}:{(162,1),(163,1)}
       208:{1,2,5,7}:{(163,1),(164,1),(165,1),(179,1),(237,1),(251,1),(252,1),(406,1)}
       209:{1,3,5}:{(164,1),(166,1),(180,1),(238,1),(253,1)}
       210:{1,3,7}:{(165,1),(166,1),(181,1),(239,1)}
       211:{3,5,7}:{(167,1),(168,1),(171,1),(254,1)}
       212:{2,4,6,7}:{(168,1),(169,1),(172,1),(175,1),(254,1),(255,1)}
       213:{1,4,7}:{(169,1),(170,1),(176,1),(256,1),(382,1)}
       214:{2,4,6}:{(170,1),(174,1),(177,1),(256,1),(257,1)}
       215:{2,5,6}:{(171,1),(172,1),(254,1),(258,1),(374,1)}
       216:{1,4,6}:{(172,1),(173,1),(178,1),(258,1),(259,1)}
       217:{2,4,5,7}:{(173,1),(174,1),(179,1),(256,1),(259,1),(260,1),(266,1),(329,1),(337,1),(382,1),(385,1)}
       218:{3,5}:{(174,1),(257,1),(261,1)}
       219:{1,3,6,7}:{(175,1),(176,1),(178,1),(248,1),(255,1),(262,1),(330,1)}
       220:{2,5,7}:{(176,1),(177,1),(256,1),(262,1),(320,1)}
       221:{2,3,5,6}:{(177,1),(180,1),(250,1),(257,1),(263,1),(264,1),(265,1),(321,1),(332,1),(333,1),(337,1),(378,1),(384,1),(386,1),(407,1)}
       222:{2,6}:{(178,1),(179,1)}
       223:{2,3,5,7}:{(179,1),(180,1),(181,1),(252,1),(260,1),(265,1),(266,1),(337,1)}
       224:{2,4}:{(180,1),(253,1),(261,1)}
       225:{4,5,7}:{(182,1),(185,1),(267,1)}
       226:{3,4,6,7}:{(182,1),(183,1),(186,1),(189,1),(267,1),(268,1)}
       227:{2,4,7}:{(183,1),(184,1),(190,1),(269,1)}
       228:{1,4,6}:{(184,1),(188,1),(191,1),(269,1),(270,1),(390,1)}
       229:{3,5,6}:{(185,1),(186,1),(267,1),(271,1),(363,1)}
       230:{2,4,6}:{(186,1),(187,1),(192,1),(271,1),(272,1)}
       231:{1,4,5,7}:{(187,1),(188,1),(193,1),(269,1),(272,1),(273,1),(293,1),(338,1),(358,1)}
       232:{2,4,5}:{(188,1),(194,1),(270,1),(274,1),(280,1)}
       233:{2,3,6,7}:{(189,1),(190,1),(192,1),(204,1),(268,1),(275,1)}
       234:{1,3,5,7}:{(190,1),(191,1),(205,1),(269,1),(275,1),(276,1),(283,1),(338,1),(340,1),(387,1)}
       235:{2,5,6}:{(191,1),(194,1),(270,1),(276,1),(278,1),(284,1)}
       236:{1,3,6}:{(192,1),(193,1),(207,1),(272,1),(278,1),(343,1),(411,1)}
       237:{2,5,7}:{(193,1),(194,1),(195,1),(278,1)}
       238:{2,3,5}:{(194,1),(196,1),(209,1),(274,1),(280,1)}
       239:{2,3,7}:{(195,1),(196,1),(210,1),(340,1)}
       240:{1,2,4}:{(199,1),(281,1),(282,1),(351,1)}
       241:{2,3,7}:{(197,1),(200,1),(283,1),(296,1),(340,1)}
       242:{1,3,6}:{(197,1),(198,1),(201,1),(283,1),(284,1)}
       243:{2,5}:{(198,1),(199,1),(284,1)}
       244:{2,3}:{(199,1),(203,1),(282,1)}
       245:{1,4,7}:{(200,1),(201,1),(205,1),(283,1)}
       246:{1,2,4,6}:{(201,1),(202,1),(206,1),(214,1),(270,1),(284,1),(286,1),(287,1),(291,1),(353,1)}
       247:{1,3,5}:{(202,1),(203,1),(218,1),(274,1),(285,1),(287,1),(288,1)}
       248:{1,6,7}:{(204,1),(205,1),(207,1),(411,1)}
       249:{1,2,5,7}:{(205,1),(206,1),(220,1),(276,1),(286,1),(289,1),(290,1),(349,1),(396,1)}
       250:{1,3,5,6}:{(206,1),(209,1),(221,1),(277,1),(287,1),(290,1),(291,1),(292,1),(350,1),(355,1),(358,1),(395,1),(397,1),(398,1),(411,1)}
       251:{1,2,6}:{(207,1),(208,1),(222,1),(278,1),(292,1),(411,1)}
       252:{1,3,5,7}:{(208,1),(209,1),(210,1),(223,1),(279,1),(292,1),(293,1),(358,1)}
       253:{1,4}:{(209,1),(224,1),(280,1)}
       254:{2,5,7}:{(211,1),(212,1),(215,1),(294,1)}
       255:{1,4,6,7}:{(212,1),(213,1),(216,1),(219,1),(294,1),(295,1)}
       256:{2,4,7}:{(213,1),(214,1),(220,1),(296,1)}
       257:{3,6}:{(214,1),(218,1),(296,1)}
       258:{1,5,6}:{(215,1),(216,1),(294,1),(298,1),(358,1)}
       259:{2,4,6}:{(216,1),(217,1),(222,1),(298,1),(299,1),(362,1)}
       260:{3,5,7}:{(217,1),(218,1),(296,1),(299,1),(300,1),(363,1)}
       261:{3,4}:{(218,1),(224,1)}
       262:{2,6,7}:{(219,1),(220,1),(222,1)}
       263:{2,3,5,7}:{(220,1),(221,1),(290,1),(296,1),(301,1),(302,1),(352,1),(359,1),(361,1),(364,1),(396,1)}
       264:{2,4,6}:{(221,1),(224,1),(291,1),(297,1),(302,1),(303,1),(362,1)}
       265:{2,3,6}:{(222,1),(223,1),(292,1),(299,1),(304,1)}
       266:{2,4,7}:{(223,1),(224,1),(293,1),(300,1),(304,1)}
       267:{3,5,7}:{(225,1),(226,1),(229,1),(305,1)}
       268:{2,4,6,7}:{(226,1),(227,1),(230,1),(233,1),(305,1),(306,1)}
       269:{1,4,7}:{(227,1),(228,1),(234,1),(307,1),(401,1)}
       270:{2,4,6}:{(228,1),(232,1),(235,1),(307,1),(308,1)}
       271:{2,5,6}:{(229,1),(230,1),(305,1),(309,1),(337,1)}
       272:{1,4,6}:{(230,1),(231,1),(236,1),(309,1),(310,1)}
       273:{2,4,5,7}:{(231,1),(232,1),(237,1),(307,1),(310,1),(311,1),(317,1),(366,1),(374,1),(401,1),(404,1)}
       274:{3,5}:{(232,1),(308,1),(312,1)}
       275:{1,3,6,7}:{(233,1),(234,1),(236,1),(248,1),(306,1),(313,1),(367,1)}
       276:{2,5,7}:{(234,1),(235,1),(307,1),(313,1),(320,1)}
       277:{2,3,5,6}:{(235,1),(238,1),(250,1),(308,1),(314,1),(315,1),(316,1),(321,1),(369,1),(370,1),(374,1),(378,1),(403,1),(405,1),(407,1)}
       278:{2,6}:{(236,1),(237,1)}
       279:{2,3,5,7}:{(237,1),(238,1),(239,1),(252,1),(311,1),(316,1),(317,1),(374,1)}
       280:{2,4}:{(238,1),(253,1),(312,1)}
       281:{1,2,5}:{(240,1),(243,1),(318,1),(319,1)}
       282:{1,3}:{(240,1),(244,1)}
       283:{1,3,7}:{(241,1),(242,1),(245,1),(320,1)}
       284:{2,6}:{(242,1),(243,1),(320,1)}
       285:{2,3,5}:{(243,1),(244,1),(247,1),(319,1),(321,1),(322,1),(378,1)}
       286:{1,2,4,7}:{(245,1),(246,1),(249,1),(256,1),(307,1),(320,1),(323,1),(326,1),(377,1)}
       287:{1,3,6}:{(246,1),(247,1),(257,1),(308,1),(321,1),(323,1)}
       288:{1,3,4}:{(247,1),(253,1),(261,1),(312,1),(322,1)}
       289:{1,2,6,7}:{(248,1),(249,1),(251,1),(262,1),(313,1),(325,1),(407,1)}
       290:{1,3,5,7}:{(249,1),(250,1),(263,1),(314,1),(323,1),(325,1),(326,1),(375,1),(380,1),(406,1)}
       291:{1,4,6}:{(250,1),(253,1),(264,1),(315,1),(326,1),(327,1)}
       292:{1,3,6}:{(251,1),(252,1),(265,1),(316,1),(328,1)}
       293:{1,4,7}:{(252,1),(253,1),(266,1),(317,1),(328,1)}
       294:{1,5,7}:{(254,1),(255,1),(258,1),(329,1)}
       295:{2,4,6,7}:{(255,1),(256,1),(259,1),(262,1),(329,1),(330,1),(382,1)}
       296:{3,7}:{(256,1),(257,1)}
       297:{3,4,6}:{(257,1),(261,1),(264,1),(331,1),(332,1),(384,1)}
       298:{2,5,6}:{(258,1),(259,1),(329,1),(333,1),(337,1)}
       299:{3,6}:{(259,1),(260,1)}
       300:{3,4,7}:{(260,1),(261,1),(266,1),(334,1),(382,1)}
       301:{2,3,6,7}:{(262,1),(263,1),(265,1),(325,1),(330,1),(335,1),(384,1),(407,1)}
       302:{2,4,7}:{(263,1),(264,1),(326,1),(331,1),(382,1)}
       303:{2,4,5}:{(264,1),(327,1),(332,1),(337,1),(378,1),(385,1)}
       304:{2,4,6}:{(265,1),(266,1),(328,1),(334,1),(337,1)}
       305:{2,5,7}:{(267,1),(268,1),(271,1),(338,1)}
       306:{1,4,6,7}:{(268,1),(269,1),(272,1),(275,1),(338,1),(339,1)}
       307:{2,4,7}:{(269,1),(270,1),(276,1),(340,1)}
       308:{3,6}:{(270,1),(274,1),(340,1)}
       309:{1,5,6}:{(271,1),(272,1),(338,1),(342,1),(358,1)}
       310:{2,4,6}:{(272,1),(273,1),(278,1),(342,1),(343,1),(390,1)}
       311:{3,5,7}:{(273,1),(274,1),(340,1),(343,1),(344,1),(391,1)}
       312:{3,4}:{(274,1),(280,1)}
       313:{2,6,7}:{(275,1),(276,1),(278,1)}
       314:{2,3,5,7}:{(276,1),(277,1),(290,1),(340,1),(345,1),(346,1),(352,1),(387,1),(389,1),(392,1),(396,1)}
       315:{2,4,6}:{(277,1),(280,1),(291,1),(341,1),(346,1),(347,1),(390,1)}
       316:{2,3,6}:{(278,1),(279,1),(292,1),(343,1),(348,1)}
       317:{2,4,7}:{(279,1),(280,1),(293,1),(344,1),(348,1)}
       318:{1,2,6}:{(281,1),(284,1),(349,1),(350,1)}
       319:{1,3,5}:{(281,1),(282,1),(285,1),(350,1),(351,1),(395,1)}
       320:{2,7}:{(283,1),(284,1)}
       321:{2,3,6}:{(284,1),(285,1),(287,1),(350,1),(352,1),(353,1)}
       322:{2,4}:{(285,1),(288,1),(351,1)}
       323:{1,3,7}:{(286,1),(287,1),(296,1),(340,1),(352,1)}
       324:{1,3,4,6}:{(287,1),(288,1),(291,1),(297,1),(341,1),(353,1),(354,1),(355,1),(397,1)}
       325:{1,3,6,7}:{(289,1),(290,1),(292,1),(301,1),(345,1),(356,1),(397,1),(411,1)}
       326:{1,4,7}:{(290,1),(291,1),(302,1),(346,1)}
       327:{1,4,5}:{(291,1),(303,1),(347,1),(355,1),(358,1),(395,1)}
       328:{1,4,6}:{(292,1),(293,1),(304,1),(348,1),(358,1)}
       329:{2,5,7}:{(294,1),(295,1),(298,1),(359,1)}
       330:{3,6,7}:{(295,1),(296,1),(299,1),(359,1)}
       331:{3,4,7}:{(296,1),(297,1),(302,1),(361,1)}
       332:{3,5}:{(297,1),(303,1)}
       333:{3,5,6}:{(298,1),(299,1),(359,1),(362,1),(363,1)}
       334:{3,4,6}:{(299,1),(300,1),(304,1),(362,1),(363,1)}
       335:{2,4,6,7}:{(301,1),(302,1),(304,1),(356,1),(360,1),(364,1),(365,1)}
       336:{2,4,5,7}:{(302,1),(303,1),(357,1),(361,1),(364,1),(365,1),(396,1),(399,1)}
       337:{2,5}:{(304,1),(358,1),(363,1)}
       338:{1,5,7}:{(305,1),(306,1),(309,1),(366,1)}
       339:{2,4,6,7}:{(306,1),(307,1),(310,1),(313,1),(366,1),(367,1),(401,1)}
       340:{3,7}:{(307,1),(308,1)}
       341:{3,4,6}:{(308,1),(312,1),(315,1),(368,1),(369,1),(403,1)}
       342:{2,5,6}:{(309,1),(310,1),(366,1),(370,1),(374,1)}
       343:{3,6}:{(310,1),(311,1)}
       344:{3,4,7}:{(311,1),(312,1),(317,1),(371,1),(401,1)}
       345:{2,3,6,7}:{(313,1),(314,1),(316,1),(325,1),(367,1),(372,1),(403,1),(407,1)}
       346:{2,4,7}:{(314,1),(315,1),(326,1),(368,1),(401,1)}
       347:{2,4,5}:{(315,1),(327,1),(369,1),(374,1),(378,1),(404,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(371,1),(374,1)}
       349:{1,2,7}:{(318,1),(320,1),(375,1)}
       350:{1,3,6}:{(318,1),(319,1),(321,1),(375,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,3,7}:{(320,1),(321,1),(323,1),(375,1),(377,1)}
       353:{2,4,6}:{(321,1),(322,1),(324,1),(376,1),(377,1),(378,1),(407,1)}
       354:{1,3,4,7}:{(323,1),(324,1),(326,1),(331,1),(368,1),(377,1),(379,1)}
       355:{1,3,5}:{(324,1),(327,1),(332,1),(369,1),(378,1)}
       356:{1,4,6,7}:{(325,1),(326,1),(328,1),(335,1),(372,1),(380,1),(381,1)}
       357:{1,4,5,7}:{(326,1),(327,1),(336,1),(373,1),(379,1),(380,1),(381,1),(406,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(333,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(334,1),(335,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(336,1),(384,1)}
       362:{4,6}:{(333,1),(382,1),(385,1)}
       363:{3,5}:{(334,1),(337,1),(385,1)}
       364:{2,5,7}:{(335,1),(337,1),(380,1),(383,1),(386,1)}
       365:{2,4,6}:{(336,1),(381,1),(384,1),(386,1),(407,1),(408,1)}
       366:{2,5,7}:{(338,1),(339,1),(342,1),(387,1)}
       367:{3,6,7}:{(339,1),(340,1),(343,1),(387,1)}
       368:{3,4,7}:{(340,1),(341,1),(346,1),(389,1)}
       369:{3,5}:{(341,1),(347,1)}
       370:{3,5,6}:{(342,1),(343,1),(387,1),(390,1),(391,1)}
       371:{3,4,6}:{(343,1),(344,1),(348,1),(390,1),(391,1)}
       372:{2,4,6,7}:{(345,1),(346,1),(348,1),(356,1),(388,1),(392,1),(393,1)}
       373:{2,4,5,7}:{(346,1),(347,1),(357,1),(389,1),(392,1),(393,1),(396,1),(409,1)}
       374:{2,5}:{(348,1),(358,1),(391,1)}
       375:{1,3,7}:{(349,1),(350,1),(352,1),(394,1)}
       376:{1,4,6}:{(350,1),(351,1),(353,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(352,1),(353,1),(354,1),(394,1),(396,1)}
       378:{2,5}:{(353,1),(355,1),(395,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(357,1),(361,1),(389,1),(396,1),(397,1)}
       380:{1,5,7}:{(356,1),(358,1),(364,1),(392,1),(398,1)}
       381:{1,4,6}:{(357,1),(365,1),(393,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(362,1)}
       383:{3,5,7}:{(360,1),(363,1),(364,1),(399,1),(400,1)}
       384:{3,6}:{(361,1),(365,1)}
       385:{4,5}:{(362,1),(363,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(400,1)}
       387:{3,5,7}:{(366,1),(367,1),(370,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(371,1),(372,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(373,1),(403,1)}
       390:{4,6}:{(370,1),(401,1),(404,1)}
       391:{3,5}:{(371,1),(374,1),(404,1)}
       392:{2,5,7}:{(372,1),(374,1),(380,1),(402,1),(405,1)}
       393:{2,4,6}:{(373,1),(381,1),(403,1),(405,1),(407,1),(412,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(384,1),(403,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{4,5,7}:{(382,1),(383,1),(385,1),(408,1)}
       400:{3,5,6}:{(383,1),(384,1),(386,1),(408,1)}
       401:{4,7}:{(387,1),(390,1)}
       402:{3,5,7}:{(388,1),(391,1),(392,1),(409,1),(410,1)}
       403:{3,6}:{(389,1),(393,1)}
       404:{4,5}:{(390,1),(391,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(410,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(404,1),(412,1)}
       410:{3,5,6}:{(402,1),(403,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 913 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(48,1),(53,1)}
         1:{2,3,5,7}:{(4,1),(5,1),(6,1),(18,1),(25,1),(26,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(11,1),(34,1),(67,1)}
         3:{1,2,6}:{(0,1),(10,1),(73,1)}
         4:{1,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(32,1),(35,1),(38,1),(68,1),(70,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(41,1),(73,1)}
         6:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(71,1)}
         7:{2,3,5,7}:{(4,1),(15,1),(16,1),(18,1),(45,1),(46,1),(51,1),(53,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(22,1),(52,1),(54,1)}
         9:{1,3,7}:{(2,1),(18,1),(20,1),(84,1),(125,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(15,1),(22,1),(87,1)}
        11:{1,4,7}:{(4,1),(6,1),(16,1),(22,1),(54,1),(85,1)}
        12:{3,4,7}:{(6,1),(24,1),(25,1),(88,1),(94,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1)}
        14:{2,4,5,7}:{(6,1),(23,1),(25,1),(26,1),(27,1),(53,1),(59,1),(62,1),(89,1),(94,1),(114,1)}
        15:{2,3,6}:{(7,1),(10,1),(29,1),(64,1),(73,1)}
        16:{2,4,7}:{(7,1),(11,1),(28,1),(29,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(97,1),(124,1)}
        18:{2,3,7}:{(9,1),(32,1),(33,1),(34,1),(98,1),(119,1),(124,1)}
        19:{1,2,5}:{(8,1),(35,1),(38,1),(72,1),(97,1)}
        20:{1,3,6}:{(8,1),(9,1),(33,1),(35,1),(123,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(12,1),(28,1),(34,1),(36,1),(37,1),(99,1),(106,1),(119,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(38,1)}
        23:{1,4,5,7}:{(11,1),(14,1),(30,1),(37,1),(38,1),(39,1),(70,1),(74,1),(77,1),(100,1),(106,1),(118,1)}
        24:{3,4,6}:{(12,1),(13,1),(40,1),(41,1),(78,1)}
        25:{3,5,7}:{(12,1),(14,1),(40,1),(41,1),(103,1),(119,1)}
        26:{2,5}:{(13,1),(38,1),(40,1)}
        27:{2,4,6}:{(14,1),(39,1),(41,1),(42,1),(73,1),(78,1)}
        28:{3,4,7}:{(16,1),(44,1),(45,1),(88,1),(107,1)}
        29:{2,4,6}:{(15,1),(16,1),(22,1),(44,1),(46,1)}
        30:{2,4,5,7}:{(16,1),(23,1),(45,1),(46,1),(47,1),(53,1),(80,1),(83,1),(89,1),(107,1),(114,1)}
        31:{1,2,6}:{(17,1),(48,1),(49,1),(121,1)}
        32:{1,3,7}:{(17,1),(18,1),(49,1),(50,1),(108,1)}
        33:{2,3,6}:{(18,1),(20,1),(49,1),(51,1),(52,1),(113,1),(121,1)}
        34:{2,4,7}:{(18,1),(21,1),(50,1),(52,1),(53,1),(109,1)}
        35:{1,3,5}:{(19,1),(20,1),(51,1),(54,1),(108,1),(120,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(22,1),(24,1),(44,1),(52,1),(54,1),(55,1),(56,1),(88,1),(92,1),(113,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(45,1),(53,1),(55,1),(56,1),(110,1),(122,1)}
        38:{1,5}:{(22,1),(26,1),(46,1)}
        39:{1,4,6}:{(23,1),(27,1),(47,1),(56,1),(57,1),(87,1)}
        40:{3,5}:{(24,1),(26,1),(59,1)}
        41:{3,6}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(27,1),(57,1),(60,1),(62,1)}
        43:{2,4,6,7}:{(27,1),(58,1),(61,1),(62,1),(91,1),(94,1),(114,1)}
        44:{3,4,6}:{(28,1),(29,1),(63,1),(64,1),(95,1)}
        45:{3,5,7}:{(28,1),(30,1),(63,1),(64,1),(103,1),(119,1)}
        46:{2,5}:{(29,1),(38,1),(63,1)}
        47:{2,4,6}:{(30,1),(39,1),(64,1),(65,1),(73,1),(95,1)}
        48:{1,2,5}:{(31,1),(67,1),(68,1),(116,1)}
        49:{1,3,6}:{(31,1),(32,1),(33,1),(68,1),(69,1)}
        50:{1,4,7}:{(32,1),(34,1),(69,1),(70,1),(115,1)}
        51:{2,3,5}:{(33,1),(35,1),(68,1),(71,1),(72,1),(98,1),(103,1),(116,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(69,1),(71,1),(72,1),(73,1)}
        53:{2,5,7}:{(34,1),(37,1),(70,1),(72,1),(73,1),(116,1),(124,1)}
        54:{1,4}:{(35,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(40,1),(63,1),(72,1),(74,1),(103,1)}
        56:{1,3,6}:{(37,1),(39,1),(41,1),(64,1),(73,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(65,1),(77,1)}
        58:{1,4,6,7}:{(39,1),(43,1),(66,1),(76,1),(77,1),(102,1),(106,1),(118,1)}
        59:{4,5}:{(40,1),(78,1)}
        60:{3,5,6}:{(40,1),(41,1),(42,1),(78,1),(79,1)}
        61:{3,6,7}:{(41,1),(43,1),(79,1),(119,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(79,1)}
        63:{3,5}:{(44,1),(46,1),(80,1)}
        64:{3,6}:{(45,1),(47,1)}
        65:{2,5,6}:{(46,1),(47,1),(57,1),(81,1),(83,1)}
        66:{2,4,6,7}:{(47,1),(58,1),(82,1),(83,1),(91,1),(107,1),(114,1)}
        67:{1,2,4}:{(48,1),(84,1),(85,1),(109,1)}
        68:{1,3,5}:{(48,1),(49,1),(51,1),(84,1),(85,1),(86,1)}
        69:{1,4,6}:{(49,1),(50,1),(52,1),(85,1),(86,1),(87,1)}
        70:{1,5,7}:{(50,1),(53,1),(86,1),(87,1),(120,1),(125,1)}
        71:{2,4}:{(51,1),(54,1),(85,1),(88,1)}
        72:{2,5}:{(52,1),(55,1),(86,1)}
        73:{2,6}:{(53,1),(56,1),(87,1)}
        74:{1,4,5}:{(54,1),(55,1),(59,1),(80,1),(89,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(55,1),(56,1),(57,1),(60,1),(81,1),(90,1),(92,1),(93,1),(113,1)}
        76:{1,3,6,7}:{(56,1),(58,1),(61,1),(82,1),(91,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{4,6}:{(59,1),(60,1),(94,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(94,1)}
        80:{4,5}:{(63,1),(95,1)}
        81:{3,5,6}:{(63,1),(64,1),(65,1),(95,1),(96,1)}
        82:{3,6,7}:{(64,1),(66,1),(96,1),(119,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(96,1)}
        84:{1,3}:{(67,1),(98,1)}
        85:{1,4}:{(68,1),(71,1)}
        86:{1,5}:{(69,1),(72,1)}
        87:{1,6}:{(70,1),(73,1)}
        88:{3,4}:{(71,1),(103,1)}
        89:{2,4,5}:{(71,1),(72,1),(74,1),(100,1),(103,1),(104,1),(116,1)}
        90:{2,5,6}:{(72,1),(73,1),(75,1),(101,1),(104,1),(105,1)}
        91:{2,6,7}:{(73,1),(76,1),(102,1),(105,1),(124,1)}
        92:{1,4,6}:{(74,1),(75,1),(78,1),(95,1),(104,1),(106,1),(123,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(77,1),(79,1),(96,1),(105,1),(106,1),(119,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{4,6}:{(80,1),(81,1),(107,1)}
        96:{3,5,7}:{(81,1),(82,1),(83,1),(107,1)}
        97:{1,2}:{(108,1)}
        98:{2,3}:{(84,1),(108,1),(109,1)}
        99:{1,3,4}:{(84,1),(85,1),(88,1),(109,1),(110,1)}
       100:{1,4,5}:{(85,1),(86,1),(89,1),(110,1),(111,1)}
       101:{1,5,6}:{(86,1),(87,1),(90,1),(111,1),(112,1)}
       102:{1,6,7}:{(87,1),(91,1),(112,1),(125,1)}
       103:{3,5}:{(88,1),(89,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(92,1),(111,1),(113,1),(114,1),(121,1)}
       105:{2,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1)}
       106:{1,4,7}:{(92,1),(93,1),(94,1),(107,1),(114,1),(125,1)}
       107:{4,7}:{(95,1),(96,1)}
       108:{1,3}:{(97,1),(98,1),(115,1)}
       109:{2,4}:{(98,1),(99,1),(115,1),(116,1)}
       110:{1,3,5}:{(99,1),(100,1),(103,1),(116,1),(117,1)}
       111:{1,4,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       112:{1,5,7}:{(101,1),(102,1),(105,1),(118,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{2,4,7}:{(104,1),(105,1),(106,1),(118,1),(119,1),(124,1)}
       115:{1,4}:{(108,1),(109,1),(120,1)}
       116:{2,5}:{(109,1),(110,1),(120,1),(121,1)}
       117:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       118:{1,4,7}:{(111,1),(112,1),(114,1),(122,1)}
       119:{3,7}:{(113,1),(114,1)}
       120:{1,5}:{(115,1),(116,1),(123,1)}
       121:{2,6}:{(116,1),(117,1),(123,1),(124,1)}
       122:{1,3,7}:{(117,1),(118,1),(119,1),(124,1)}
       123:{1,6}:{(120,1),(121,1),(125,1)}
       124:{2,7}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 914 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 915 :   0:{1,2,6,7}:{(2,1),(3,1),(121,1),(205,1),(206,1),(219,1),(274,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(67,1),(121,1),(274,1),(275,1),(337,1)}
         2:{1,3,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(85,1),(162,1),(248,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(86,1),(88,1),(244,1),(258,1),(309,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(11,1),(13,1),(14,1),(43,1),(313,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(14,1),(37,1),(44,1),(86,1),(309,1),(363,1),(367,1)}
         6:{2,3,6,7}:{(2,1),(15,1),(16,1),(109,1),(121,1),(219,1),(220,1),(292,1)}
         7:{1,2,5,6}:{(3,1),(17,1),(18,1),(117,1),(119,1),(121,1),(202,1),(203,1),(206,1),(217,1),(272,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(15,1),(19,1),(20,1),(56,1),(289,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(5,1),(16,1),(17,1),(19,1),(20,1),(21,1),(59,1),(122,1)}
        10:{1,2,4,7}:{(3,1),(18,1),(20,1),(21,1),(58,1),(282,1),(294,1),(339,1),(348,1)}
        11:{3,4,6,7}:{(4,1),(22,1),(26,1),(61,1),(67,1),(337,1),(338,1),(385,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(54,1),(64,1),(67,1),(117,1),(121,1),(272,1),(273,1),(275,1),(336,1),(340,1),(345,1)}
        13:{2,5,7}:{(4,1),(19,1),(22,1),(24,1),(345,1)}
        14:{2,4,7}:{(5,1),(20,1),(23,1),(26,1),(385,1)}
        15:{2,4,6,7}:{(6,1),(8,1),(27,1),(29,1),(30,1),(75,1),(262,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(28,1),(29,1),(30,1),(37,1),(76,1),(86,1),(258,1),(326,1),(330,1)}
        17:{1,3,5,6}:{(7,1),(9,1),(12,1),(28,1),(32,1),(33,1),(34,1),(81,1),(83,1),(85,1),(159,1),(162,1),(246,1),(248,1),(325,1)}
        18:{1,2,4,6}:{(7,1),(10,1),(31,1),(32,1),(33,1),(82,1),(241,1),(256,1),(307,1),(317,1)}
        19:{1,5,7}:{(8,1),(13,1),(29,1),(34,1),(325,1)}
        20:{1,4,7}:{(9,1),(14,1),(30,1),(32,1)}
        21:{1,3,7}:{(10,1),(33,1),(37,1),(330,1),(367,1)}
        22:{3,5,7}:{(11,1),(13,1),(38,1),(39,1),(366,1)}
        23:{2,4,6}:{(12,1),(14,1),(32,1),(40,1),(41,1),(311,1),(364,1)}
        24:{2,5,6}:{(13,1),(34,1),(38,1),(43,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(35,1),(39,1),(40,1),(43,1),(44,1),(86,1)}
        26:{3,4,7}:{(14,1),(41,1),(44,1),(367,1)}
        27:{3,4,6,7}:{(15,1),(46,1),(50,1),(103,1),(109,1),(292,1),(293,1),(356,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(47,1),(48,1),(54,1),(106,1),(109,1),(117,1),(121,1),(217,1),(218,1),(220,1),(291,1),(295,1),(300,1)}
        29:{2,5,7}:{(15,1),(19,1),(46,1),(48,1),(300,1)}
        30:{2,4,7}:{(16,1),(20,1),(47,1),(50,1),(356,1)}
        31:{1,2,4,5}:{(18,1),(51,1),(52,1),(113,1),(117,1),(199,1),(203,1),(215,1),(270,1),(277,1),(280,1),(287,1)}
        32:{1,4,6}:{(17,1),(20,1),(23,1),(47,1),(52,1),(287,1)}
        33:{1,3,6}:{(18,1),(21,1),(51,1),(54,1),(295,1),(340,1)}
        34:{1,5,6}:{(19,1),(24,1),(48,1),(56,1)}
        35:{1,4,5,7}:{(19,1),(20,1),(25,1),(49,1),(52,1),(56,1),(57,1),(122,1)}
        36:{1,3,4,7}:{(20,1),(21,1),(26,1),(50,1),(53,1),(57,1),(58,1)}
        37:{2,3,7}:{(21,1),(54,1),(58,1),(59,1),(348,1)}
        38:{3,5,6}:{(22,1),(24,1),(61,1),(67,1)}
        39:{4,5,7}:{(22,1),(61,1),(385,1),(386,1)}
        40:{2,4,5}:{(23,1),(52,1),(64,1),(117,1),(345,1),(386,1)}
        41:{3,4,6}:{(23,1),(26,1),(64,1),(67,1),(340,1),(341,1)}
        42:{2,5,6,7}:{(24,1),(55,1),(60,1),(66,1),(208,1),(335,1),(391,1)}
        43:{2,4,6}:{(24,1),(25,1),(56,1),(61,1),(67,1),(121,1)}
        44:{3,5,7}:{(25,1),(26,1),(64,1),(67,1)}
        45:{2,3,4,7}:{(26,1),(58,1),(65,1),(68,1),(69,1),(194,1),(213,1),(276,1),(278,1),(388,1),(394,1)}
        46:{3,5,7}:{(27,1),(29,1),(70,1),(71,1),(329,1)}
        47:{2,4,6}:{(28,1),(30,1),(32,1),(72,1),(73,1),(260,1),(327,1)}
        48:{2,5,6}:{(29,1),(34,1),(70,1),(75,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(35,1),(71,1),(72,1),(75,1),(76,1),(86,1)}
        50:{3,4,7}:{(30,1),(73,1),(76,1),(330,1)}
        51:{1,3,5}:{(31,1),(33,1),(78,1),(79,1),(257,1),(308,1),(315,1)}
        52:{1,4,5}:{(32,1),(40,1),(72,1),(81,1),(159,1),(325,1)}
        53:{1,3,4,6}:{(32,1),(33,1),(36,1),(41,1),(73,1),(78,1),(81,1),(82,1),(85,1)}
        54:{2,3,6}:{(33,1),(37,1),(79,1),(82,1),(83,1),(317,1)}
        55:{1,5,6,7}:{(34,1),(42,1),(74,1),(84,1),(250,1),(301,1),(380,1)}
        56:{1,4,6}:{(34,1),(35,1),(43,1),(75,1),(85,1),(162,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(44,1),(76,1),(81,1),(85,1),(86,1)}
        58:{2,4,7}:{(36,1),(37,1),(82,1),(86,1),(87,1)}
        59:{1,3,7}:{(37,1),(83,1),(87,1),(88,1)}
        60:{3,5,6,7}:{(38,1),(42,1),(90,1),(98,1),(165,1),(363,1),(401,1)}
        61:{4,6}:{(38,1),(39,1)}
        62:{3,4,5,7}:{(39,1),(44,1),(91,1),(92,1),(93,1),(165,1),(170,1),(305,1),(366,1),(400,1),(402,1)}
        63:{2,4,5,6}:{(40,1),(43,1),(80,1),(89,1),(94,1),(95,1),(158,1),(166,1),(171,1),(302,1),(307,1),(364,1),(370,1),(403,1)}
        64:{3,5}:{(40,1),(41,1)}
        65:{2,3,4,6}:{(41,1),(45,1),(82,1),(96,1),(97,1),(99,1),(152,1),(171,1),(233,1),(237,1),(311,1),(313,1),(368,1),(376,1)}
        66:{2,4,6,7}:{(42,1),(43,1),(84,1),(90,1),(94,1),(98,1),(161,1),(403,1)}
        67:{3,6}:{(43,1),(44,1)}
        68:{2,3,5,7}:{(44,1),(45,1),(86,1),(92,1),(96,1),(99,1),(100,1),(402,1),(406,1)}
        69:{1,3,4,7}:{(45,1),(87,1),(97,1),(100,1),(101,1),(164,1),(249,1),(254,1),(255,1),(316,1),(330,1),(404,1)}
        70:{3,5,6}:{(46,1),(48,1),(103,1),(109,1)}
        71:{4,5,7}:{(46,1),(103,1),(356,1),(357,1)}
        72:{2,4,5}:{(47,1),(52,1),(106,1),(117,1),(300,1),(357,1)}
        73:{3,4,6}:{(47,1),(50,1),(106,1),(109,1),(295,1),(296,1)}
        74:{2,5,6,7}:{(48,1),(55,1),(102,1),(108,1),(263,1),(290,1),(362,1)}
        75:{2,4,6}:{(48,1),(49,1),(56,1),(103,1),(109,1),(121,1)}
        76:{3,5,7}:{(49,1),(50,1),(106,1),(109,1)}
        77:{2,3,4,7}:{(50,1),(58,1),(107,1),(110,1),(111,1),(138,1),(221,1),(268,1),(278,1),(359,1),(394,1)}
        78:{1,3,4}:{(51,1),(113,1),(287,1),(296,1),(341,1)}
        79:{2,3,5}:{(51,1),(54,1),(113,1),(114,1),(117,1),(280,1),(281,1)}
        80:{1,4,5,6}:{(52,1),(56,1),(63,1),(105,1),(115,1),(116,1),(202,1),(209,1),(214,1),(264,1),(269,1),(354,1),(397,1)}
        81:{1,3,5}:{(52,1),(53,1),(64,1),(106,1),(117,1)}
        82:{2,4,6}:{(53,1),(54,1),(58,1),(113,1),(117,1),(118,1),(121,1)}
        83:{1,3,6}:{(54,1),(59,1),(114,1),(118,1),(119,1)}
        84:{1,4,6,7}:{(55,1),(56,1),(66,1),(108,1),(115,1),(120,1),(205,1),(397,1)}
        85:{1,3,6}:{(56,1),(57,1),(67,1),(109,1),(121,1)}
        86:{2,5,7}:{(57,1),(58,1),(117,1),(121,1),(122,1)}
        87:{1,4,7}:{(58,1),(59,1),(118,1),(122,1)}
        88:{1,2,7}:{(59,1),(119,1),(348,1)}
        89:{4,5,6}:{(61,1),(124,1),(125,1),(386,1),(408,1)}
        90:{4,6,7}:{(60,1),(61,1),(124,1),(385,1),(408,1)}
        91:{3,4,6}:{(61,1),(62,1),(67,1),(125,1),(127,1),(408,1),(409,1)}
        92:{2,4,5,7}:{(62,1),(68,1),(127,1),(128,1),(130,1),(208,1),(213,1),(276,1),(345,1)}
        93:{3,4,5}:{(64,1),(129,1),(130,1),(341,1),(386,1),(389,1)}
        94:{2,4,5,7}:{(63,1),(66,1),(115,1),(124,1),(131,1),(201,1),(208,1),(213,1),(335,1),(339,1),(385,1)}
        95:{3,5,6}:{(63,1),(64,1),(67,1),(129,1),(131,1),(340,1),(389,1),(409,1)}
        96:{2,3,5}:{(64,1),(65,1),(117,1),(130,1),(133,1),(345,1),(389,1),(395,1)}
        97:{1,3,4,6}:{(65,1),(69,1),(118,1),(133,1),(134,1),(136,1),(196,1),(204,1),(214,1),(279,1),(287,1),(289,1),(293,1),(295,1),(296,1),(393,1)}
        98:{3,6,7}:{(66,1),(67,1),(131,1),(409,1)}
        99:{2,3,6}:{(67,1),(68,1),(121,1),(127,1),(136,1),(409,1),(411,1)}
       100:{1,3,5,7}:{(68,1),(69,1),(122,1),(128,1),(133,1),(136,1),(137,1),(212,1),(410,1)}
       101:{2,4,7}:{(69,1),(134,1),(137,1),(138,1),(348,1)}
       102:{3,5,6,7}:{(70,1),(74,1),(140,1),(148,1),(222,1),(326,1),(382,1)}
       103:{4,6}:{(70,1),(71,1)}
       104:{3,4,5,7}:{(71,1),(76,1),(141,1),(142,1),(143,1),(222,1),(227,1),(254,1),(329,1),(381,1),(383,1)}
       105:{2,4,5,6}:{(72,1),(75,1),(80,1),(139,1),(144,1),(145,1),(158,1),(223,1),(228,1),(251,1),(256,1),(327,1),(333,1),(384,1)}
       106:{3,5}:{(72,1),(73,1)}
       107:{2,3,4,6}:{(73,1),(77,1),(82,1),(146,1),(147,1),(149,1),(152,1),(176,1),(228,1),(237,1),(260,1),(262,1),(331,1),(376,1)}
       108:{2,4,6,7}:{(74,1),(75,1),(84,1),(140,1),(144,1),(148,1),(161,1),(384,1)}
       109:{3,6}:{(75,1),(76,1)}
       110:{2,3,5,7}:{(76,1),(77,1),(86,1),(142,1),(146,1),(149,1),(150,1),(383,1),(406,1)}
       111:{1,3,4,7}:{(77,1),(87,1),(147,1),(150,1),(151,1),(164,1),(249,1),(305,1),(306,1),(316,1),(367,1),(404,1)}
       112:{1,3,4,5}:{(78,1),(81,1),(93,1),(143,1),(153,1),(154,1),(172,1),(229,1),(238,1),(257,1),(308,1),(321,1),(378,1)}
       113:{2,4}:{(78,1),(79,1),(155,1)}
       114:{1,3,5}:{(79,1),(83,1),(155,1),(156,1),(159,1),(243,1)}
       115:{1,4,5,7}:{(80,1),(84,1),(94,1),(144,1),(157,1),(244,1),(250,1),(255,1),(301,1),(306,1)}
       116:{1,3,5,6}:{(80,1),(81,1),(85,1),(95,1),(145,1),(153,1),(157,1),(158,1),(378,1),(407,1)}
       117:{2,5}:{(81,1),(82,1),(159,1)}
       118:{1,4,6}:{(82,1),(83,1),(87,1),(155,1),(159,1),(162,1)}
       119:{1,2,6}:{(83,1),(88,1),(156,1),(317,1)}
       120:{1,3,6,7}:{(84,1),(85,1),(98,1),(148,1),(157,1),(161,1),(407,1)}
       121:{2,6}:{(85,1),(86,1),(162,1)}
       122:{1,5,7}:{(86,1),(87,1),(159,1),(162,1)}
       123:{1,2,4,7}:{(87,1),(88,1),(101,1),(151,1),(160,1),(163,1),(164,1),(249,1),(372,1),(404,1)}
       124:{4,5,7}:{(89,1),(90,1),(165,1)}
       125:{3,5,6}:{(89,1),(91,1),(165,1),(166,1),(366,1)}
       126:{3,4,6,7}:{(90,1),(91,1),(98,1),(165,1),(167,1),(170,1)}
       127:{2,4,6}:{(91,1),(92,1),(99,1),(166,1),(168,1)}
       128:{1,4,5,7}:{(92,1),(100,1),(168,1),(169,1),(172,1),(249,1),(250,1),(255,1),(325,1)}
       129:{3,4,6}:{(93,1),(95,1),(170,1),(171,1),(364,1)}
       130:{2,4,5}:{(93,1),(96,1),(171,1),(172,1),(311,1)}
       131:{3,5,7}:{(94,1),(95,1),(98,1),(170,1),(367,1)}
       132:{2,3,5,6}:{(95,1),(96,1),(99,1),(158,1),(166,1),(171,1),(173,1),(174,1),(237,1)}
       133:{1,3,5}:{(96,1),(97,1),(159,1),(172,1),(175,1),(257,1),(325,1),(329,1),(405,1)}
       134:{2,4,6}:{(97,1),(101,1),(175,1),(176,1),(178,1),(239,1),(260,1),(317,1)}
       135:{2,3,6,7}:{(98,1),(99,1),(161,1),(167,1),(173,1),(177,1)}
       136:{1,3,6}:{(99,1),(100,1),(162,1),(168,1),(178,1),(253,1),(412,1)}
       137:{2,5,7}:{(100,1),(101,1),(175,1),(178,1)}
       138:{2,3,7}:{(101,1),(164,1),(176,1),(330,1)}
       139:{4,5,6}:{(103,1),(180,1),(181,1),(357,1),(398,1)}
       140:{4,6,7}:{(102,1),(103,1),(180,1),(356,1),(398,1)}
       141:{3,4,6}:{(103,1),(104,1),(109,1),(181,1),(183,1),(398,1),(399,1)}
       142:{2,4,5,7}:{(104,1),(110,1),(183,1),(184,1),(186,1),(221,1),(263,1),(268,1),(300,1)}
       143:{3,4,5}:{(106,1),(185,1),(186,1),(296,1),(357,1),(360,1)}
       144:{2,4,5,7}:{(105,1),(108,1),(115,1),(180,1),(187,1),(201,1),(263,1),(268,1),(290,1),(294,1),(356,1)}
       145:{3,5,6}:{(105,1),(106,1),(109,1),(185,1),(187,1),(295,1),(360,1),(399,1)}
       146:{2,3,5}:{(106,1),(107,1),(117,1),(186,1),(189,1),(300,1),(360,1),(395,1)}
       147:{1,3,4,6}:{(107,1),(111,1),(118,1),(189,1),(190,1),(192,1),(196,1),(204,1),(269,1),(279,1),(287,1),(289,1),(338,1),(340,1),(341,1),(393,1)}
       148:{3,6,7}:{(108,1),(109,1),(187,1),(399,1)}
       149:{2,3,6}:{(109,1),(110,1),(121,1),(183,1),(192,1),(399,1),(411,1)}
       150:{1,3,5,7}:{(110,1),(111,1),(122,1),(184,1),(189,1),(192,1),(193,1),(267,1),(410,1)}
       151:{2,4,7}:{(111,1),(190,1),(193,1),(194,1),(348,1)}
       152:{2,3,4}:{(113,1),(195,1),(196,1),(281,1),(296,1),(341,1),(350,1)}
       153:{1,3,4,6}:{(112,1),(116,1),(129,1),(185,1),(197,1),(198,1),(214,1),(269,1),(279,1),(295,1),(340,1)}
       154:{2,4,5}:{(112,1),(113,1),(117,1),(195,1),(198,1),(199,1),(280,1),(350,1),(395,1)}
       155:{1,4}:{(113,1),(114,1)}
       156:{1,2,5}:{(114,1),(119,1),(200,1),(280,1)}
       157:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(187,1),(197,1),(201,1)}
       158:{2,5,6}:{(116,1),(117,1),(121,1),(198,1),(201,1),(202,1),(395,1),(411,1)}
       159:{1,5}:{(117,1),(118,1)}
       160:{1,2,4,6}:{(118,1),(119,1),(123,1),(134,1),(190,1),(200,1),(203,1),(204,1),(206,1),(277,1),(287,1),(289,1),(346,1),(393,1)}
       161:{2,6,7}:{(120,1),(121,1),(201,1),(205,1),(411,1)}
       162:{1,6}:{(121,1),(122,1)}
       163:{1,2,5,7}:{(122,1),(123,1),(137,1),(193,1),(203,1),(206,1),(207,1),(410,1)}
       164:{1,3,7}:{(123,1),(138,1),(194,1),(204,1)}
       165:{3,5,7}:{(124,1),(125,1),(126,1),(208,1)}
       166:{2,5,6}:{(125,1),(127,1),(208,1),(209,1),(345,1)}
       167:{2,4,6,7}:{(126,1),(127,1),(135,1),(208,1),(210,1),(213,1)}
       168:{1,4,6}:{(127,1),(128,1),(136,1),(209,1),(211,1)}
       169:{2,4,5,7}:{(128,1),(137,1),(211,1),(212,1),(215,1),(221,1),(290,1),(294,1),(300,1),(356,1),(357,1)}
       170:{3,4,7}:{(129,1),(131,1),(213,1),(385,1)}
       171:{2,4,6}:{(129,1),(130,1),(132,1),(213,1),(214,1)}
       172:{1,4,5}:{(130,1),(133,1),(214,1),(215,1),(287,1),(357,1)}
       173:{2,3,5,7}:{(131,1),(132,1),(135,1),(201,1),(208,1),(213,1),(216,1),(278,1)}
       174:{1,3,5,6}:{(132,1),(133,1),(136,1),(202,1),(209,1),(214,1),(216,1),(217,1),(279,1),(291,1),(295,1)}
       175:{2,5}:{(133,1),(134,1)}
       176:{2,3,6}:{(134,1),(138,1),(204,1),(218,1),(281,1),(295,1)}
       177:{1,3,6,7}:{(135,1),(136,1),(205,1),(210,1),(216,1),(219,1),(292,1)}
       178:{2,6}:{(136,1),(137,1)}
       179:{2,3,5,7}:{(137,1),(138,1),(207,1),(212,1),(218,1),(220,1),(221,1),(300,1)}
       180:{4,5,7}:{(139,1),(140,1),(222,1)}
       181:{3,5,6}:{(139,1),(141,1),(222,1),(223,1),(329,1)}
       182:{3,4,6,7}:{(140,1),(141,1),(148,1),(222,1),(224,1),(227,1)}
       183:{2,4,6}:{(141,1),(142,1),(149,1),(223,1),(225,1)}
       184:{1,4,5,7}:{(142,1),(150,1),(225,1),(226,1),(229,1),(249,1),(301,1),(306,1),(325,1)}
       185:{3,4,6}:{(143,1),(145,1),(227,1),(228,1),(327,1)}
       186:{2,4,5}:{(143,1),(146,1),(228,1),(229,1),(260,1)}
       187:{3,5,7}:{(144,1),(145,1),(148,1),(227,1),(330,1)}
       188:{2,3,5,6}:{(145,1),(146,1),(149,1),(158,1),(223,1),(228,1),(230,1),(231,1),(237,1)}
       189:{1,3,5}:{(146,1),(147,1),(159,1),(229,1),(232,1),(308,1),(325,1),(366,1),(405,1)}
       190:{2,4,6}:{(147,1),(151,1),(232,1),(233,1),(235,1),(239,1),(311,1),(317,1)}
       191:{2,3,6,7}:{(148,1),(149,1),(161,1),(224,1),(230,1),(234,1)}
       192:{1,3,6}:{(149,1),(150,1),(162,1),(225,1),(235,1),(304,1),(412,1)}
       193:{2,5,7}:{(150,1),(151,1),(232,1),(235,1)}
       194:{2,3,7}:{(151,1),(164,1),(233,1),(367,1)}
       195:{2,3,5}:{(152,1),(154,1),(237,1),(238,1),(257,1),(308,1)}
       196:{1,3,4}:{(152,1),(155,1),(238,1),(239,1),(243,1),(315,1),(374,1)}
       197:{1,3,4,7}:{(153,1),(157,1),(170,1),(227,1),(240,1),(255,1),(306,1),(316,1),(330,1),(367,1)}
       198:{2,4,6}:{(153,1),(154,1),(158,1),(237,1),(240,1),(241,1),(317,1)}
       199:{1,4,5}:{(154,1),(155,1),(159,1),(238,1),(241,1),(374,1),(405,1)}
       200:{1,2,4}:{(155,1),(156,1),(239,1),(243,1)}
       201:{2,5,7}:{(157,1),(158,1),(161,1),(240,1),(244,1)}
       202:{1,5,6}:{(158,1),(159,1),(162,1),(241,1),(244,1),(405,1),(412,1)}
       203:{1,2,5}:{(159,1),(160,1),(175,1),(232,1),(246,1),(325,1),(405,1)}
       204:{1,3,6}:{(160,1),(164,1),(176,1),(233,1),(243,1),(246,1),(315,1)}
       205:{1,6,7}:{(161,1),(162,1),(244,1),(412,1)}
       206:{1,2,6}:{(162,1),(163,1),(178,1),(235,1),(248,1),(412,1)}
       207:{1,3,5,7}:{(163,1),(164,1),(179,1),(236,1),(246,1),(248,1),(249,1),(325,1)}
       208:{2,5,7}:{(165,1),(166,1),(167,1),(250,1)}
       209:{1,5,6}:{(166,1),(168,1),(250,1),(251,1),(325,1)}
       210:{1,4,6,7}:{(167,1),(168,1),(177,1),(250,1),(252,1),(255,1)}
       211:{2,4,6}:{(168,1),(169,1),(178,1),(251,1),(253,1),(327,1)}
       212:{3,5,7}:{(169,1),(253,1),(254,1),(257,1),(329,1),(330,1)}
       213:{2,4,7}:{(170,1),(171,1),(173,1),(255,1)}
       214:{1,4,6}:{(171,1),(172,1),(174,1),(255,1),(256,1),(327,1)}
       215:{2,4,5}:{(172,1),(175,1),(256,1),(257,1),(260,1)}
       216:{1,3,5,7}:{(173,1),(174,1),(177,1),(244,1),(250,1),(255,1),(258,1),(316,1),(326,1),(330,1)}
       217:{2,5,6}:{(174,1),(175,1),(178,1),(256,1),(258,1),(317,1)}
       218:{2,3,5}:{(175,1),(176,1),(246,1),(257,1),(260,1)}
       219:{2,6,7}:{(177,1),(178,1),(258,1)}
       220:{2,3,6}:{(178,1),(179,1),(248,1),(253,1),(262,1)}
       221:{2,4,7}:{(179,1),(249,1),(254,1),(260,1),(262,1)}
       222:{3,5,7}:{(180,1),(181,1),(182,1),(263,1)}
       223:{2,5,6}:{(181,1),(183,1),(263,1),(264,1),(300,1)}
       224:{2,4,6,7}:{(182,1),(183,1),(191,1),(263,1),(265,1),(268,1)}
       225:{1,4,6}:{(183,1),(184,1),(192,1),(264,1),(266,1)}
       226:{2,4,5,7}:{(184,1),(193,1),(266,1),(267,1),(270,1),(276,1),(335,1),(339,1),(345,1),(385,1),(386,1)}
       227:{3,4,7}:{(185,1),(187,1),(268,1),(356,1)}
       228:{2,4,6}:{(185,1),(186,1),(188,1),(268,1),(269,1)}
       229:{1,4,5}:{(186,1),(189,1),(269,1),(270,1),(287,1),(386,1)}
       230:{2,3,5,7}:{(187,1),(188,1),(191,1),(201,1),(263,1),(268,1),(271,1),(278,1)}
       231:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(264,1),(269,1),(271,1),(272,1),(279,1),(336,1),(340,1)}
       232:{2,5}:{(189,1),(190,1)}
       233:{2,3,6}:{(190,1),(194,1),(204,1),(273,1),(281,1),(340,1)}
       234:{1,3,6,7}:{(191,1),(192,1),(205,1),(265,1),(271,1),(274,1),(337,1)}
       235:{2,6}:{(192,1),(193,1)}
       236:{2,3,5,7}:{(193,1),(194,1),(207,1),(267,1),(273,1),(275,1),(276,1),(345,1)}
       237:{2,3,6}:{(195,1),(198,1),(278,1),(279,1),(295,1),(340,1)}
       238:{1,3,5}:{(195,1),(196,1),(199,1),(279,1),(280,1)}
       239:{2,4}:{(196,1),(280,1),(281,1)}
       240:{2,4,7}:{(197,1),(198,1),(201,1),(278,1),(282,1),(348,1)}
       241:{1,4,6}:{(198,1),(199,1),(202,1),(279,1),(282,1)}
       242:{1,2,4,5}:{(199,1),(200,1),(203,1),(215,1),(270,1),(280,1),(283,1),(284,1),(287,1),(350,1),(354,1),(395,1)}
       243:{1,3}:{(200,1),(281,1)}
       244:{1,5,7}:{(201,1),(202,1),(205,1),(282,1)}
       245:{1,2,5,6}:{(202,1),(203,1),(206,1),(217,1),(272,1),(283,1),(285,1),(286,1),(346,1),(395,1),(411,1)}
       246:{1,3,5}:{(203,1),(204,1),(218,1),(273,1),(287,1)}
       247:{1,2,6,7}:{(205,1),(206,1),(219,1),(274,1),(285,1),(288,1),(411,1)}
       248:{1,3,6}:{(206,1),(207,1),(220,1),(275,1),(289,1)}
       249:{1,4,7}:{(207,1),(221,1),(276,1),(287,1),(289,1)}
       250:{1,5,7}:{(208,1),(209,1),(210,1),(290,1)}
       251:{2,5,6}:{(209,1),(211,1),(290,1),(291,1),(300,1)}
       252:{2,4,6,7}:{(210,1),(211,1),(219,1),(290,1),(292,1),(294,1),(356,1)}
       253:{3,6}:{(211,1),(212,1)}
       254:{3,4,7}:{(212,1),(221,1),(293,1),(296,1),(356,1)}
       255:{1,4,7}:{(213,1),(214,1),(216,1),(294,1),(356,1)}
       256:{2,4,6}:{(214,1),(215,1),(217,1),(294,1),(295,1)}
       257:{3,5}:{(215,1),(295,1),(296,1)}
       258:{2,5,7}:{(216,1),(217,1),(219,1),(294,1),(348,1)}
       259:{2,3,5,6}:{(217,1),(218,1),(220,1),(286,1),(291,1),(295,1),(297,1),(298,1),(300,1),(349,1),(360,1),(362,1),(395,1),(399,1),(411,1)}
       260:{2,4}:{(218,1),(287,1),(296,1)}
       261:{2,3,6,7}:{(219,1),(220,1),(288,1),(292,1),(297,1),(299,1),(399,1),(411,1)}
       262:{2,4,6}:{(220,1),(221,1),(289,1),(293,1),(300,1)}
       263:{2,5,7}:{(222,1),(223,1),(224,1),(301,1)}
       264:{1,5,6}:{(223,1),(225,1),(301,1),(302,1),(325,1)}
       265:{1,4,6,7}:{(224,1),(225,1),(234,1),(301,1),(303,1),(306,1)}
       266:{2,4,6}:{(225,1),(226,1),(235,1),(302,1),(304,1),(364,1)}
       267:{3,5,7}:{(226,1),(304,1),(305,1),(308,1),(366,1),(367,1)}
       268:{2,4,7}:{(227,1),(228,1),(230,1),(306,1)}
       269:{1,4,6}:{(228,1),(229,1),(231,1),(306,1),(307,1),(364,1)}
       270:{2,4,5}:{(229,1),(232,1),(307,1),(308,1),(311,1)}
       271:{1,3,5,7}:{(230,1),(231,1),(234,1),(244,1),(301,1),(306,1),(309,1),(316,1),(363,1),(367,1)}
       272:{2,5,6}:{(231,1),(232,1),(235,1),(307,1),(309,1),(317,1)}
       273:{2,3,5}:{(232,1),(233,1),(246,1),(308,1),(311,1)}
       274:{2,6,7}:{(234,1),(235,1),(309,1)}
       275:{2,3,6}:{(235,1),(236,1),(248,1),(304,1),(313,1)}
       276:{2,4,7}:{(236,1),(249,1),(305,1),(311,1),(313,1)}
       277:{1,2,4}:{(239,1),(314,1),(315,1),(374,1)}
       278:{2,3,7}:{(237,1),(240,1),(316,1),(330,1),(367,1)}
       279:{1,3,6}:{(237,1),(238,1),(241,1),(316,1),(317,1)}
       280:{2,5}:{(238,1),(239,1),(317,1)}
       281:{2,3}:{(239,1),(243,1),(315,1)}
       282:{1,4,7}:{(240,1),(241,1),(244,1),(316,1)}
       283:{1,2,4,6}:{(241,1),(242,1),(245,1),(256,1),(307,1),(317,1),(319,1),(320,1),(323,1),(376,1)}
       284:{1,3,5}:{(242,1),(243,1),(257,1),(308,1),(318,1),(320,1),(321,1)}
       285:{1,2,5,7}:{(244,1),(245,1),(247,1),(258,1),(309,1),(319,1),(322,1),(372,1),(406,1)}
       286:{1,3,5,6}:{(245,1),(246,1),(248,1),(259,1),(310,1),(320,1),(322,1),(323,1),(325,1),(373,1),(378,1),(380,1),(405,1),(407,1),(412,1)}
       287:{1,4}:{(246,1),(260,1),(311,1)}
       288:{1,3,6,7}:{(247,1),(248,1),(261,1),(312,1),(322,1),(324,1),(407,1),(412,1)}
       289:{1,4,6}:{(248,1),(249,1),(262,1),(313,1),(325,1)}
       290:{2,5,7}:{(250,1),(251,1),(252,1),(326,1)}
       291:{3,5,6}:{(251,1),(253,1),(326,1),(327,1),(329,1)}
       292:{3,6,7}:{(252,1),(253,1),(326,1),(330,1)}
       293:{3,4,6}:{(253,1),(254,1),(262,1),(327,1),(329,1)}
       294:{2,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       295:{3,6}:{(256,1),(257,1),(330,1)}
       296:{3,4}:{(257,1),(260,1)}
       297:{2,3,5,7}:{(258,1),(259,1),(261,1),(322,1),(326,1),(330,1),(332,1),(334,1),(375,1),(383,1),(406,1)}
       298:{2,4,6}:{(259,1),(260,1),(323,1),(327,1),(331,1),(332,1),(333,1)}
       299:{2,4,6,7}:{(261,1),(262,1),(324,1),(328,1),(332,1),(334,1),(384,1)}
       300:{2,5}:{(262,1),(325,1),(329,1)}
       301:{1,5,7}:{(263,1),(264,1),(265,1),(335,1)}
       302:{2,5,6}:{(264,1),(266,1),(335,1),(336,1),(345,1)}
       303:{2,4,6,7}:{(265,1),(266,1),(274,1),(335,1),(337,1),(339,1),(385,1)}
       304:{3,6}:{(266,1),(267,1)}
       305:{3,4,7}:{(267,1),(276,1),(338,1),(341,1),(385,1)}
       306:{1,4,7}:{(268,1),(269,1),(271,1),(339,1),(385,1)}
       307:{2,4,6}:{(269,1),(270,1),(272,1),(339,1),(340,1)}
       308:{3,5}:{(270,1),(340,1),(341,1)}
       309:{2,5,7}:{(271,1),(272,1),(274,1),(339,1),(348,1)}
       310:{2,3,5,6}:{(272,1),(273,1),(275,1),(286,1),(336,1),(340,1),(342,1),(343,1),(345,1),(349,1),(389,1),(391,1),(395,1),(409,1),(411,1)}
       311:{2,4}:{(273,1),(287,1),(341,1)}
       312:{2,3,6,7}:{(274,1),(275,1),(288,1),(337,1),(342,1),(344,1),(409,1),(411,1)}
       313:{2,4,6}:{(275,1),(276,1),(289,1),(338,1),(345,1)}
       314:{1,2,5}:{(277,1),(280,1),(346,1),(347,1)}
       315:{1,3}:{(277,1),(281,1)}
       316:{1,3,7}:{(278,1),(279,1),(282,1),(348,1)}
       317:{2,6}:{(279,1),(280,1),(348,1)}
       318:{2,3,5}:{(280,1),(281,1),(284,1),(347,1),(349,1),(350,1),(395,1)}
       319:{1,2,4,7}:{(282,1),(283,1),(285,1),(294,1),(339,1),(348,1),(351,1),(353,1),(394,1)}
       320:{1,3,6}:{(283,1),(284,1),(295,1),(340,1),(349,1),(351,1)}
       321:{1,3,4}:{(284,1),(287,1),(296,1),(341,1),(350,1)}
       322:{1,3,5,7}:{(285,1),(286,1),(288,1),(297,1),(342,1),(351,1),(353,1),(355,1),(392,1),(410,1)}
       323:{1,4,6}:{(286,1),(287,1),(298,1),(343,1),(353,1),(354,1)}
       324:{1,4,6,7}:{(288,1),(289,1),(299,1),(344,1),(353,1),(355,1),(397,1)}
       325:{1,5}:{(289,1),(300,1),(345,1)}
       326:{3,5,7}:{(290,1),(291,1),(292,1),(356,1)}
       327:{4,6}:{(291,1),(356,1),(357,1)}
       328:{3,4,6,7}:{(292,1),(293,1),(299,1),(356,1),(358,1),(359,1),(398,1),(399,1)}
       329:{3,5}:{(293,1),(300,1),(357,1)}
       330:{3,7}:{(294,1),(295,1)}
       331:{3,4,6}:{(295,1),(296,1),(298,1),(359,1),(360,1),(399,1)}
       332:{2,4,7}:{(297,1),(298,1),(353,1),(356,1),(359,1)}
       333:{2,4,5}:{(298,1),(300,1),(354,1),(357,1),(360,1),(395,1)}
       334:{2,5,7}:{(299,1),(300,1),(355,1),(358,1),(362,1)}
       335:{2,5,7}:{(301,1),(302,1),(303,1),(363,1)}
       336:{3,5,6}:{(302,1),(304,1),(363,1),(364,1),(366,1)}
       337:{3,6,7}:{(303,1),(304,1),(363,1),(367,1)}
       338:{3,4,6}:{(304,1),(305,1),(313,1),(364,1),(366,1)}
       339:{2,4,7}:{(306,1),(307,1),(309,1),(367,1)}
       340:{3,6}:{(307,1),(308,1),(367,1)}
       341:{3,4}:{(308,1),(311,1)}
       342:{2,3,5,7}:{(309,1),(310,1),(312,1),(322,1),(363,1),(367,1),(369,1),(371,1),(375,1),(402,1),(406,1)}
       343:{2,4,6}:{(310,1),(311,1),(323,1),(364,1),(368,1),(369,1),(370,1)}
       344:{2,4,6,7}:{(312,1),(313,1),(324,1),(365,1),(369,1),(371,1),(403,1)}
       345:{2,5}:{(313,1),(325,1),(366,1)}
       346:{1,2,6}:{(314,1),(317,1),(372,1),(373,1)}
       347:{1,3,5}:{(314,1),(315,1),(318,1),(373,1),(374,1),(405,1)}
       348:{2,7}:{(316,1),(317,1)}
       349:{2,3,6}:{(317,1),(318,1),(320,1),(373,1),(375,1),(376,1)}
       350:{2,4}:{(318,1),(321,1),(374,1)}
       351:{1,3,7}:{(319,1),(320,1),(330,1),(367,1),(375,1)}
       352:{1,3,4,6}:{(320,1),(321,1),(323,1),(331,1),(368,1),(376,1),(377,1),(378,1),(407,1)}
       353:{1,4,7}:{(322,1),(323,1),(332,1),(369,1)}
       354:{1,4,5}:{(323,1),(325,1),(333,1),(370,1),(378,1),(405,1)}
       355:{1,5,7}:{(324,1),(325,1),(334,1),(371,1),(380,1)}
       356:{4,7}:{(326,1),(327,1)}
       357:{4,5}:{(327,1),(329,1)}
       358:{3,5,7}:{(328,1),(329,1),(334,1),(381,1),(382,1)}
       359:{3,4,7}:{(330,1),(331,1),(332,1),(383,1)}
       360:{3,5}:{(331,1),(333,1)}
       361:{2,4,5,7}:{(332,1),(333,1),(334,1),(379,1),(381,1),(383,1),(384,1),(406,1)}
       362:{2,5,6}:{(334,1),(380,1),(382,1),(384,1)}
       363:{3,5,7}:{(335,1),(336,1),(337,1),(385,1)}
       364:{4,6}:{(336,1),(385,1),(386,1)}
       365:{3,4,6,7}:{(337,1),(338,1),(344,1),(385,1),(387,1),(388,1),(408,1),(409,1)}
       366:{3,5}:{(338,1),(345,1),(386,1)}
       367:{3,7}:{(339,1),(340,1)}
       368:{3,4,6}:{(340,1),(341,1),(343,1),(388,1),(389,1),(409,1)}
       369:{2,4,7}:{(342,1),(343,1),(353,1),(385,1),(388,1)}
       370:{2,4,5}:{(343,1),(345,1),(354,1),(386,1),(389,1),(395,1)}
       371:{2,5,7}:{(344,1),(345,1),(355,1),(387,1),(391,1)}
       372:{1,2,7}:{(346,1),(348,1),(392,1)}
       373:{1,3,6}:{(346,1),(347,1),(349,1),(392,1),(393,1)}
       374:{1,4}:{(347,1),(350,1)}
       375:{2,3,7}:{(348,1),(349,1),(351,1),(392,1),(394,1)}
       376:{2,4,6}:{(349,1),(350,1),(352,1),(393,1),(394,1),(395,1),(411,1)}
       377:{1,3,4,7}:{(351,1),(352,1),(353,1),(359,1),(388,1),(394,1),(396,1)}
       378:{1,3,5}:{(352,1),(354,1),(360,1),(389,1),(395,1)}
       379:{1,4,5,7}:{(353,1),(354,1),(355,1),(361,1),(390,1),(396,1),(397,1),(410,1)}
       380:{1,5,6}:{(355,1),(362,1),(391,1),(397,1)}
       381:{4,5,7}:{(356,1),(357,1),(358,1),(398,1)}
       382:{3,5,6}:{(358,1),(362,1),(398,1),(399,1)}
       383:{3,5,7}:{(359,1),(360,1),(361,1),(399,1)}
       384:{2,4,6}:{(361,1),(362,1),(397,1),(398,1),(399,1),(411,1)}
       385:{4,7}:{(363,1),(364,1)}
       386:{4,5}:{(364,1),(366,1)}
       387:{3,5,7}:{(365,1),(366,1),(371,1),(400,1),(401,1)}
       388:{3,4,7}:{(367,1),(368,1),(369,1),(402,1)}
       389:{3,5}:{(368,1),(370,1)}
       390:{2,4,5,7}:{(369,1),(370,1),(371,1),(379,1),(400,1),(402,1),(403,1),(406,1)}
       391:{2,5,6}:{(371,1),(380,1),(401,1),(403,1)}
       392:{1,3,7}:{(372,1),(373,1),(375,1),(404,1)}
       393:{1,4,6}:{(373,1),(374,1),(376,1),(404,1),(405,1),(412,1)}
       394:{2,4,7}:{(375,1),(376,1),(377,1),(404,1),(406,1)}
       395:{2,5}:{(376,1),(378,1),(405,1)}
       396:{1,3,5,7}:{(377,1),(378,1),(379,1),(383,1),(402,1),(406,1),(407,1)}
       397:{1,4,6}:{(379,1),(380,1),(384,1),(403,1),(407,1),(412,1)}
       398:{4,6}:{(381,1),(382,1)}
       399:{3,6}:{(383,1),(384,1)}
       400:{4,5,7}:{(385,1),(386,1),(387,1),(408,1)}
       401:{3,5,6}:{(387,1),(391,1),(408,1),(409,1)}
       402:{3,5,7}:{(388,1),(389,1),(390,1),(409,1)}
       403:{2,4,6}:{(390,1),(391,1),(397,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(392,1),(393,1),(394,1),(410,1)}
       405:{1,5}:{(393,1),(395,1)}
       406:{2,5,7}:{(394,1),(395,1),(396,1),(410,1),(411,1)}
       407:{1,3,6}:{(396,1),(397,1),(399,1),(409,1),(411,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(406,1),(412,1)}
       411:{2,6}:{(406,1),(407,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 916 :   0:{2,3,4,6,7}:{(1,1),(2,1),(16,1),(33,1),(53,1),(81,1),(98,1),(102,1),(105,1),(138,1),(150,1),(234,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(22,1),(28,1),(65,1),(69,1),(72,1),(121,1),(127,1),(132,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(79,1),(134,1),(165,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(11,1),(38,1),(44,1),(90,1),(97,1),(139,1),(143,1),(146,1),(150,1),(243,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(44,1),(46,1),(150,1),(157,1),(163,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(47,1),(149,1),(164,1),(201,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(16,1),(54,1),(102,1),(106,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(81,1),(137,1)}
         8:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(22,1),(59,1),(65,1),(109,1),(112,1),(121,1),(167,1),(172,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(119,1),(125,1),(174,1),(177,1)}
        10:{1,2,4,6,7}:{(4,1),(18,1),(22,1),(23,1),(65,1),(66,1),(135,1),(175,1),(178,1),(179,1),(180,1),(187,1),(216,1),(223,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(22,1),(24,1),(72,1),(123,1),(184,1),(216,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(177,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(28,1),(72,1),(132,1),(136,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(28,1),(65,1),(120,1)}
        15:{2,3,5,6,7}:{(6,1),(27,1),(30,1),(79,1),(129,1),(134,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(32,1)}
        17:{3,4,5,7}:{(7,1),(32,1),(79,1),(109,1),(165,1)}
        18:{2,4,6,7}:{(8,1),(33,1),(34,1),(81,1),(83,1),(150,1),(193,1),(199,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(34,1),(35,1),(36,1),(84,1),(149,1),(200,1),(201,1)}
        20:{2,3,5,6}:{(9,1),(35,1),(38,1),(91,1),(143,1),(147,1)}
        21:{2,4,5,7}:{(9,1),(36,1),(38,1),(39,1),(44,1),(96,1)}
        22:{1,3,6,7}:{(10,1),(11,1),(33,1),(40,1),(94,1),(152,1),(203,1),(234,1),(243,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(34,1),(40,1),(41,1),(164,1),(200,1),(201,1),(208,1),(229,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(47,1),(229,1),(243,1)}
        25:{2,5,6}:{(12,1),(13,1),(46,1),(163,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(44,1),(46,1),(47,1),(96,1)}
        27:{1,3,5,6,7}:{(13,1),(15,1),(45,1),(48,1),(100,1),(104,1),(160,1),(164,1)}
        28:{1,4,6}:{(13,1),(14,1),(16,1),(46,1)}
        29:{1,3,4,5,7}:{(14,1),(17,1),(47,1),(50,1),(51,1),(93,1),(103,1),(104,1),(149,1),(154,1),(158,1),(204,1),(207,1),(232,1),(234,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(48,1),(52,1),(53,1)}
        31:{2,4,5,6}:{(16,1),(49,1),(52,1),(54,1),(106,1),(137,1),(209,1)}
        32:{3,4,6}:{(16,1),(17,1),(54,1)}
        33:{2,3,6,7}:{(18,1),(22,1),(55,1),(112,1),(123,1),(187,1),(213,1)}
        34:{2,5,7}:{(18,1),(19,1),(56,1),(177,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(56,1),(59,1),(112,1),(172,1),(176,1)}
        36:{1,4,5,7}:{(19,1),(21,1),(57,1),(59,1),(65,1),(120,1)}
        37:{2,3,5,6,7}:{(20,1),(58,1),(61,1),(119,1),(169,1),(174,1)}
        38:{2,4,6}:{(20,1),(21,1),(59,1),(63,1)}
        39:{3,4,5,7}:{(21,1),(63,1),(69,1),(119,1),(125,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(24,1),(55,1),(64,1),(65,1)}
        41:{1,2,5,6}:{(23,1),(25,1),(56,1),(64,1),(66,1),(136,1),(176,1),(177,1),(180,1),(189,1),(218,1),(219,1)}
        42:{1,2,4,5,7}:{(23,1),(26,1),(57,1),(65,1),(66,1),(67,1),(78,1),(118,1),(120,1),(122,1),(133,1),(173,1),(177,1),(179,1),(219,1),(221,1),(223,1),(235,1),(237,1),(239,1)}
        43:{2,3,5,6}:{(24,1),(25,1),(64,1),(68,1),(72,1),(123,1),(125,1),(177,1),(218,1),(236,1),(238,1)}
        44:{2,4,7}:{(24,1),(65,1),(68,1),(69,1)}
        45:{2,5,6,7}:{(25,1),(27,1),(70,1),(134,1),(187,1)}
        46:{2,4,6}:{(25,1),(26,1),(28,1),(72,1)}
        47:{3,5,7}:{(26,1),(69,1),(72,1),(125,1)}
        48:{1,4,6,7}:{(27,1),(28,1),(30,1),(70,1),(74,1)}
        49:{1,4,5,6}:{(28,1),(31,1),(71,1),(74,1),(76,1),(120,1),(136,1),(188,1)}
        50:{1,3,4,6}:{(28,1),(29,1),(32,1),(72,1),(76,1),(77,1),(130,1),(132,1),(188,1),(224,1)}
        51:{2,4,5,7}:{(29,1),(73,1),(77,1),(78,1),(122,1),(133,1),(134,1),(177,1),(181,1),(185,1),(221,1),(223,1)}
        52:{2,4,5,7}:{(30,1),(31,1),(74,1),(79,1),(134,1),(223,1)}
        53:{3,4,6,7}:{(30,1),(32,1),(79,1)}
        54:{3,5,6}:{(31,1),(32,1),(79,1),(165,1),(224,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(80,1),(81,1),(84,1),(208,1),(234,1)}
        56:{2,5,6}:{(34,1),(35,1),(83,1),(199,1)}
        57:{2,4,5,7}:{(34,1),(36,1),(81,1),(83,1),(84,1),(137,1)}
        58:{1,3,5,6,7}:{(35,1),(37,1),(82,1),(85,1),(141,1),(145,1),(196,1),(200,1)}
        59:{1,4,6}:{(35,1),(36,1),(38,1),(83,1)}
        60:{1,3,4,5,7}:{(36,1),(39,1),(84,1),(87,1),(88,1),(93,1),(144,1),(145,1),(149,1),(190,1),(194,1),(225,1),(228,1),(241,1),(243,1)}
        61:{2,4,6,7}:{(37,1),(38,1),(85,1),(89,1),(90,1)}
        62:{2,4,5,6}:{(38,1),(86,1),(89,1),(91,1),(96,1),(147,1),(230,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(43,1),(80,1),(92,1),(94,1),(149,1),(152,1),(201,1),(231,1)}
        65:{1,4,7}:{(40,1),(44,1),(81,1),(92,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(46,1),(83,1),(92,1),(94,1),(107,1),(148,1),(150,1),(163,1),(199,1),(209,1),(230,1)}
        67:{1,3,5,7}:{(42,1),(47,1),(84,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(234,1),(241,1),(243,1)}
        68:{2,4,6}:{(43,1),(44,1),(92,1),(96,1),(97,1),(242,1)}
        69:{3,4,7}:{(44,1),(47,1),(97,1),(243,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(48,1),(99,1),(100,1)}
        71:{2,4,5,6}:{(46,1),(49,1),(96,1),(99,1),(101,1),(106,1),(161,1)}
        72:{3,6}:{(46,1),(47,1)}
        73:{2,3,5,7}:{(47,1),(51,1),(98,1),(102,1),(103,1),(155,1),(232,1),(234,1)}
        74:{1,4,5,7}:{(48,1),(49,1),(52,1),(99,1),(104,1),(164,1),(207,1)}
        75:{1,3,4,6,7}:{(48,1),(50,1),(53,1),(100,1),(104,1),(105,1),(158,1),(160,1),(207,1),(234,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(54,1),(101,1),(104,1),(106,1),(149,1)}
        77:{2,4,6}:{(50,1),(51,1),(102,1),(106,1),(107,1),(163,1)}
        78:{1,4,5,7}:{(51,1),(103,1),(107,1),(151,1),(164,1),(201,1),(204,1),(207,1)}
        79:{3,5,7}:{(52,1),(53,1),(54,1),(234,1)}
        80:{2,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(112,1),(123,1),(165,1),(177,1),(189,1),(222,1),(224,1)}
        81:{2,4,7}:{(55,1),(65,1),(108,1),(109,1)}
        82:{2,5,6,7}:{(56,1),(58,1),(110,1),(174,1),(216,1)}
        83:{2,4,6}:{(56,1),(57,1),(59,1),(112,1)}
        84:{3,5,7}:{(57,1),(109,1),(112,1),(165,1)}
        85:{1,4,6,7}:{(58,1),(59,1),(61,1),(110,1),(114,1)}
        86:{1,4,5,6}:{(59,1),(62,1),(111,1),(114,1),(116,1),(120,1),(176,1),(217,1)}
        87:{1,3,4,6}:{(59,1),(60,1),(63,1),(112,1),(116,1),(117,1),(170,1),(172,1),(217,1),(238,1)}
        88:{2,4,5,7}:{(60,1),(113,1),(117,1),(118,1),(122,1),(173,1),(174,1),(177,1),(210,1),(214,1),(235,1),(237,1)}
        89:{2,4,5,7}:{(61,1),(62,1),(114,1),(119,1),(174,1),(237,1)}
        90:{3,4,6,7}:{(61,1),(63,1),(119,1)}
        91:{3,5,6}:{(62,1),(63,1),(119,1),(125,1),(238,1)}
        92:{1,4,6}:{(64,1),(65,1),(68,1),(108,1),(120,1),(239,1)}
        93:{1,3,4,7}:{(65,1),(67,1),(69,1),(109,1),(121,1),(122,1),(239,1),(240,1),(244,1)}
        94:{1,3,6}:{(66,1),(67,1),(72,1),(112,1),(123,1),(224,1),(238,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(133,1),(173,1),(177,1),(184,1),(213,1),(222,1),(236,1)}
        96:{2,4,5}:{(68,1),(120,1),(125,1),(177,1)}
        97:{3,4,6}:{(68,1),(69,1),(72,1),(125,1),(238,1),(244,1)}
        98:{2,3,4,7}:{(69,1),(73,1),(122,1),(126,1),(127,1),(185,1),(213,1),(240,1)}
        99:{2,4,5,7}:{(70,1),(71,1),(74,1),(128,1),(134,1),(185,1)}
       100:{3,6,7}:{(70,1),(72,1),(128,1)}
       101:{3,5,6}:{(71,1),(72,1),(125,1),(128,1),(130,1)}
       102:{2,3,6}:{(72,1),(73,1),(77,1),(132,1),(224,1)}
       103:{1,3,5,7}:{(73,1),(78,1),(127,1),(132,1),(133,1),(182,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(76,1),(79,1),(128,1),(134,1)}
       105:{2,4,6,7}:{(75,1),(77,1),(129,1),(134,1),(135,1),(185,1),(187,1),(223,1)}
       106:{2,5,6}:{(76,1),(77,1),(134,1),(136,1),(177,1)}
       107:{1,4,6}:{(77,1),(78,1),(132,1),(136,1)}
       108:{2,4,6}:{(80,1),(81,1),(92,1),(137,1),(138,1),(233,1)}
       109:{3,4,7}:{(81,1),(84,1),(138,1),(234,1)}
       110:{2,4,6,7}:{(82,1),(83,1),(85,1),(140,1),(141,1)}
       111:{2,4,5,6}:{(83,1),(86,1),(137,1),(140,1),(142,1),(147,1),(197,1)}
       112:{3,6}:{(83,1),(84,1)}
       113:{2,3,5,7}:{(84,1),(88,1),(139,1),(143,1),(144,1),(191,1),(241,1),(243,1)}
       114:{1,4,5,7}:{(85,1),(86,1),(89,1),(140,1),(145,1),(200,1),(228,1)}
       115:{1,3,4,6,7}:{(85,1),(87,1),(90,1),(141,1),(145,1),(146,1),(194,1),(196,1),(228,1),(243,1)}
       116:{1,3,5,6}:{(86,1),(87,1),(91,1),(142,1),(145,1),(147,1),(149,1)}
       117:{2,4,6}:{(87,1),(88,1),(143,1),(147,1),(148,1),(199,1)}
       118:{1,4,5,7}:{(88,1),(144,1),(148,1),(151,1),(200,1),(201,1),(225,1),(228,1)}
       119:{3,5,7}:{(89,1),(90,1),(91,1),(243,1)}
       120:{1,4,5}:{(92,1),(96,1),(137,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(97,1),(138,1),(149,1),(150,1)}
       122:{2,4,7}:{(93,1),(95,1),(150,1),(151,1),(233,1),(242,1)}
       123:{2,3,6}:{(94,1),(95,1),(150,1),(152,1),(163,1),(199,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5}:{(96,1),(97,1)}
       126:{2,3,4,6}:{(97,1),(98,1),(102,1),(150,1),(155,1),(156,1),(161,1),(227,1),(242,1)}
       127:{1,3,4,7}:{(98,1),(103,1),(151,1),(156,1),(157,1),(203,1),(207,1),(234,1)}
       128:{3,5,7}:{(99,1),(100,1),(101,1),(158,1)}
       129:{2,3,6,7}:{(100,1),(102,1),(105,1),(159,1),(160,1),(234,1)}
       130:{3,4,6}:{(101,1),(154,1),(158,1),(161,1)}
       131:{2,3,5,6}:{(101,1),(102,1),(106,1),(155,1),(159,1),(161,1),(162,1)}
       132:{1,3,6}:{(102,1),(103,1),(107,1),(163,1)}
       133:{2,5,7}:{(103,1),(157,1),(163,1),(205,1)}
       134:{2,5,7}:{(104,1),(105,1),(106,1),(164,1)}
       135:{1,4,6,7}:{(105,1),(107,1),(160,1),(164,1),(207,1)}
       136:{1,5,6}:{(106,1),(107,1),(164,1),(201,1)}
       137:{2,4,5}:{(108,1),(120,1),(165,1),(177,1)}
       138:{3,4,6}:{(108,1),(109,1),(112,1),(165,1),(224,1),(240,1)}
       139:{2,3,4,7}:{(109,1),(113,1),(122,1),(166,1),(167,1),(184,1),(214,1),(244,1)}
       140:{2,4,5,7}:{(110,1),(111,1),(114,1),(168,1),(174,1),(214,1)}
       141:{3,6,7}:{(110,1),(112,1),(168,1)}
       142:{3,5,6}:{(111,1),(112,1),(165,1),(168,1),(170,1)}
       143:{2,3,6}:{(112,1),(113,1),(117,1),(172,1),(238,1)}
       144:{1,3,5,7}:{(113,1),(118,1),(167,1),(172,1),(173,1),(211,1)}
       145:{1,3,5,7}:{(114,1),(115,1),(116,1),(119,1),(168,1),(174,1)}
       146:{2,4,6,7}:{(115,1),(117,1),(169,1),(174,1),(175,1),(214,1),(216,1),(237,1)}
       147:{2,5,6}:{(116,1),(117,1),(174,1),(176,1),(177,1)}
       148:{1,4,6}:{(117,1),(118,1),(172,1),(176,1)}
       149:{1,3,5}:{(120,1),(121,1),(125,1),(165,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,4,7}:{(122,1),(124,1),(178,1),(239,1)}
       152:{1,3,6}:{(123,1),(124,1),(178,1),(180,1)}
       153:{1,2,5,7}:{(124,1),(133,1),(173,1),(179,1),(180,1),(219,1)}
       154:{3,4,5}:{(125,1),(130,1),(181,1),(244,1)}
       155:{2,3,5}:{(125,1),(126,1),(177,1),(181,1),(182,1)}
       156:{1,3,4,6}:{(126,1),(127,1),(132,1),(178,1),(182,1),(183,1),(188,1),(220,1),(224,1),(239,1),(240,1)}
       157:{2,4,7}:{(127,1),(133,1),(183,1),(184,1)}
       158:{3,4,7}:{(128,1),(130,1),(185,1)}
       159:{2,3,5,7}:{(128,1),(129,1),(131,1),(134,1),(185,1),(186,1)}
       160:{1,3,6,7}:{(129,1),(132,1),(135,1),(186,1),(187,1)}
       161:{2,4,6}:{(130,1),(131,1),(181,1),(185,1),(188,1)}
       162:{1,3,5,6}:{(131,1),(132,1),(136,1),(182,1),(186,1),(188,1),(189,1),(224,1)}
       163:{2,6}:{(132,1),(133,1)}
       164:{1,5,7}:{(134,1),(135,1),(136,1)}
       165:{3,5}:{(137,1),(138,1)}
       166:{2,3,4,6}:{(138,1),(139,1),(143,1),(150,1),(191,1),(192,1),(197,1),(206,1),(233,1)}
       167:{1,3,4,7}:{(139,1),(144,1),(151,1),(192,1),(193,1),(203,1),(228,1),(243,1)}
       168:{3,5,7}:{(140,1),(141,1),(142,1),(194,1)}
       169:{2,3,6,7}:{(141,1),(143,1),(146,1),(195,1),(196,1),(243,1)}
       170:{3,4,6}:{(142,1),(190,1),(194,1),(197,1)}
       171:{2,3,5,6}:{(142,1),(143,1),(147,1),(191,1),(195,1),(197,1),(198,1)}
       172:{1,3,6}:{(143,1),(144,1),(148,1),(199,1)}
       173:{2,5,7}:{(144,1),(193,1),(199,1),(226,1)}
       174:{2,5,7}:{(145,1),(146,1),(147,1),(200,1)}
       175:{1,4,6,7}:{(146,1),(148,1),(196,1),(200,1),(228,1)}
       176:{1,5,6}:{(147,1),(148,1),(200,1),(201,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,4,7}:{(151,1),(153,1),(157,1),(193,1),(202,1),(203,1)}
       180:{1,2,6}:{(152,1),(153,1),(163,1),(199,1)}
       181:{2,4,5}:{(154,1),(155,1),(161,1),(204,1),(242,1)}
       182:{1,3,5}:{(155,1),(156,1),(201,1),(204,1),(205,1),(232,1)}
       183:{2,4,6}:{(156,1),(157,1),(163,1),(205,1),(206,1),(233,1)}
       184:{2,3,7}:{(157,1),(203,1),(206,1),(234,1)}
       185:{2,4,7}:{(158,1),(159,1),(161,1),(207,1)}
       186:{1,3,5,7}:{(159,1),(160,1),(162,1),(164,1),(207,1),(208,1),(234,1)}
       187:{2,6,7}:{(160,1),(163,1),(208,1)}
       188:{1,4,6}:{(161,1),(162,1),(204,1),(207,1),(209,1)}
       189:{2,5,6}:{(162,1),(163,1),(205,1),(208,1),(209,1)}
       190:{3,4,5}:{(165,1),(170,1),(210,1),(240,1)}
       191:{2,3,5}:{(165,1),(166,1),(177,1),(210,1),(211,1)}
       192:{1,3,4,6}:{(166,1),(167,1),(172,1),(178,1),(211,1),(212,1),(217,1),(220,1),(238,1),(239,1),(244,1)}
       193:{2,4,7}:{(167,1),(173,1),(212,1),(213,1)}
       194:{3,4,7}:{(168,1),(170,1),(214,1)}
       195:{2,3,5,7}:{(168,1),(169,1),(171,1),(174,1),(214,1),(215,1)}
       196:{1,3,6,7}:{(169,1),(172,1),(175,1),(215,1),(216,1)}
       197:{2,4,6}:{(170,1),(171,1),(210,1),(214,1),(217,1)}
       198:{1,3,5,6}:{(171,1),(172,1),(176,1),(211,1),(215,1),(217,1),(218,1),(238,1)}
       199:{2,6}:{(172,1),(173,1)}
       200:{1,5,7}:{(174,1),(175,1),(176,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(183,1),(212,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(179,1),(184,1),(213,1),(220,1)}
       204:{1,4,5}:{(181,1),(182,1),(188,1),(221,1),(239,1)}
       205:{2,5}:{(182,1),(183,1)}
       206:{2,3,6}:{(183,1),(184,1),(220,1),(222,1),(224,1)}
       207:{1,4,7}:{(185,1),(186,1),(188,1),(223,1)}
       208:{2,5,7}:{(186,1),(187,1),(189,1),(223,1)}
       209:{2,4,6}:{(188,1),(189,1),(221,1),(223,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(197,1),(225,1),(233,1)}
       211:{1,3,5}:{(191,1),(192,1),(201,1),(225,1),(226,1),(241,1)}
       212:{2,4,6}:{(192,1),(193,1),(199,1),(226,1),(227,1),(242,1)}
       213:{2,3,7}:{(193,1),(203,1),(227,1),(243,1)}
       214:{2,4,7}:{(194,1),(195,1),(197,1),(228,1)}
       215:{1,3,5,7}:{(195,1),(196,1),(198,1),(200,1),(228,1),(229,1),(243,1)}
       216:{2,6,7}:{(196,1),(199,1),(229,1)}
       217:{1,4,6}:{(197,1),(198,1),(225,1),(228,1),(230,1)}
       218:{2,5,6}:{(198,1),(199,1),(226,1),(229,1),(230,1)}
       219:{1,2,5}:{(201,1),(202,1),(205,1),(226,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(206,1),(227,1),(231,1)}
       221:{2,4,5}:{(204,1),(205,1),(209,1),(232,1),(233,1)}
       222:{2,3,5}:{(205,1),(206,1),(231,1),(232,1),(233,1)}
       223:{2,4,7}:{(207,1),(208,1),(209,1),(234,1)}
       224:{3,6}:{(209,1),(232,1),(234,1)}
       225:{1,4,5}:{(210,1),(211,1),(217,1),(235,1),(239,1)}
       226:{2,5}:{(211,1),(212,1)}
       227:{2,3,6}:{(212,1),(213,1),(220,1),(236,1),(238,1)}
       228:{1,4,7}:{(214,1),(215,1),(217,1),(237,1)}
       229:{2,5,7}:{(215,1),(216,1),(218,1),(237,1)}
       230:{2,4,6}:{(217,1),(218,1),(235,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(222,1),(236,1),(239,1)}
       232:{3,5}:{(221,1),(224,1),(240,1)}
       233:{2,4}:{(222,1),(239,1),(240,1)}
       234:{3,7}:{(223,1),(224,1)}
       235:{2,4,5}:{(225,1),(226,1),(230,1),(241,1),(242,1)}
       236:{2,3,5}:{(226,1),(227,1),(231,1),(241,1),(242,1)}
       237:{2,4,7}:{(228,1),(229,1),(230,1),(243,1)}
       238:{3,6}:{(230,1),(241,1),(243,1)}
       239:{1,4}:{(231,1),(233,1),(242,1)}
       240:{3,4}:{(232,1),(233,1)}
       241:{3,5}:{(235,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(239,1),(244,1)}
       243:{3,7}:{(237,1),(238,1)}
       244:{3,4}:{(241,1),(242,1)}

 917 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(64,1),(82,1),(145,1),(274,1),(343,1),(353,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(41,1),(55,1),(126,1),(186,1),(288,1),(381,1),(389,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(389,1),(397,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(38,1),(108,1),(118,1),(125,1),(223,1),(325,1),(398,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(51,1),(103,1),(195,1),(199,1),(227,1),(229,1),(297,1),(307,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(26,1),(83,1),(144,1),(273,1),(344,1),(353,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(19,1),(20,1),(29,1),(74,1),(82,1),(145,1),(245,1)}
         7:{3,4,6}:{(1,1),(20,1),(21,1),(422,1),(429,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(19,1),(23,1),(24,1),(28,1),(76,1),(437,1)}
         9:{2,3,6}:{(2,1),(20,1),(24,1),(429,1),(436,1)}
        10:{2,4,7}:{(3,1),(23,1),(26,1),(27,1),(373,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(24,1),(27,1),(28,1),(70,1),(86,1),(155,1),(158,1),(166,1),(176,1),(178,1),(278,1),(279,1),(356,1)}
        12:{2,3,5}:{(4,1),(28,1),(29,1),(245,1),(346,1),(355,1)}
        13:{3,4,5,7}:{(30,1),(31,1),(92,1),(106,1),(118,1),(194,1),(217,1),(315,1),(323,1)}
        14:{2,3,5,7}:{(5,1),(30,1),(32,1),(33,1),(36,1),(323,1),(397,1)}
        15:{1,3,4,7}:{(5,1),(32,1),(34,1),(35,1),(38,1),(108,1),(186,1),(193,1),(294,1),(391,1),(398,1)}
        16:{2,3,4,6}:{(5,1),(33,1),(35,1),(36,1),(52,1),(102,1),(127,1),(131,1),(226,1),(298,1),(300,1),(307,1)}
        17:{1,2,4,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(108,1),(398,1),(399,1)}
        18:{3,4,6,7}:{(7,1),(40,1),(41,1),(114,1),(126,1),(212,1)}
        19:{1,4,5,7}:{(6,1),(8,1),(42,1),(43,1),(54,1),(108,1),(116,1),(125,1),(205,1)}
        20:{2,4,6}:{(6,1),(7,1),(9,1),(43,1),(44,1)}
        21:{3,5,6}:{(7,1),(41,1),(44,1),(45,1),(288,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(46,1),(47,1),(212,1),(313,1)}
        23:{2,5,7}:{(8,1),(10,1),(49,1),(53,1)}
        24:{1,3,6}:{(8,1),(9,1),(43,1),(49,1),(119,1),(469,1)}
        25:{2,3,5,6}:{(9,1),(12,1),(44,1),(47,1),(50,1),(51,1),(122,1),(220,1),(227,1)}
        26:{2,3,7}:{(10,1),(38,1),(52,1),(223,1)}
        27:{2,4,6}:{(10,1),(11,1),(49,1),(52,1),(53,1),(131,1),(328,1),(329,1)}
        28:{1,3,5}:{(11,1),(12,1),(53,1),(54,1),(132,1),(205,1),(217,1),(400,1)}
        29:{2,4,5}:{(12,1),(51,1),(54,1),(55,1),(199,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(57,1),(58,1),(67,1),(83,1),(136,1),(144,1),(174,1)}
        31:{3,4,6}:{(13,1),(58,1),(59,1),(363,1),(370,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(57,1),(61,1),(62,1),(66,1),(138,1),(437,1)}
        33:{2,3,6}:{(14,1),(58,1),(62,1),(370,1),(436,1)}
        34:{2,4,7}:{(15,1),(61,1),(64,1),(65,1),(432,1)}
        35:{1,3,4,6}:{(15,1),(16,1),(62,1),(65,1),(66,1),(70,1),(148,1),(155,1),(158,1),(237,1),(247,1),(249,1),(348,1),(349,1),(356,1)}
        36:{2,3,5}:{(16,1),(66,1),(67,1),(174,1),(276,1),(355,1)}
        37:{1,2,5,7}:{(17,1),(23,1),(61,1),(68,1),(69,1),(71,1),(437,1)}
        38:{1,3,7}:{(17,1),(26,1),(64,1),(70,1)}
        39:{1,2,4,6}:{(17,1),(27,1),(65,1),(69,1),(70,1),(71,1),(155,1),(158,1),(356,1),(357,1),(358,1)}
        40:{2,4,6,7}:{(18,1),(20,1),(22,1),(73,1),(74,1),(82,1)}
        41:{3,5,7}:{(18,1),(21,1),(74,1),(75,1)}
        42:{2,4,5,7}:{(19,1),(23,1),(76,1),(77,1),(83,1),(89,1),(163,1),(172,1),(174,1),(264,1),(267,1)}
        43:{1,4,6}:{(19,1),(20,1),(24,1),(77,1),(78,1)}
        44:{2,5,6}:{(20,1),(21,1),(74,1),(78,1),(245,1)}
        45:{4,5,6}:{(21,1),(75,1),(337,1),(422,1)}
        46:{1,3,6,7}:{(22,1),(24,1),(73,1),(80,1),(81,1),(162,1),(362,1)}
        47:{2,3,5,7}:{(22,1),(25,1),(74,1),(81,1),(82,1),(165,1),(266,1),(274,1)}
        48:{2,3,5,7}:{(23,1),(26,1),(68,1),(76,1),(83,1),(84,1),(88,1),(174,1)}
        49:{2,6}:{(23,1),(24,1)}
        50:{1,3,5,6}:{(24,1),(25,1),(28,1),(78,1),(81,1),(85,1),(86,1),(167,1),(176,1),(270,1),(278,1)}
        51:{2,4,6}:{(25,1),(29,1),(82,1),(86,1),(87,1)}
        52:{2,3,6}:{(26,1),(27,1),(70,1),(88,1),(176,1),(376,1)}
        53:{2,5}:{(27,1),(28,1)}
        54:{1,4,5}:{(28,1),(29,1),(86,1),(89,1),(158,1),(267,1)}
        55:{3,4,5}:{(29,1),(87,1),(249,1),(346,1),(549,1)}
        56:{3,4,6,7}:{(31,1),(91,1),(92,1),(182,1),(194,1),(283,1)}
        57:{1,4,5,7}:{(30,1),(32,1),(93,1),(94,1),(105,1),(108,1),(184,1),(193,1),(205,1)}
        58:{2,4,6}:{(30,1),(31,1),(33,1),(94,1),(95,1)}
        59:{3,5,6}:{(31,1),(92,1),(95,1),(96,1),(217,1)}
        60:{2,3,6,7}:{(33,1),(91,1),(97,1),(98,1),(283,1),(379,1)}
        61:{2,5,7}:{(32,1),(34,1),(100,1),(104,1)}
        62:{1,3,6}:{(32,1),(33,1),(94,1),(100,1),(187,1),(469,1)}
        63:{2,3,5,6}:{(33,1),(36,1),(95,1),(98,1),(101,1),(102,1),(190,1),(291,1),(298,1)}
        64:{2,3,7}:{(34,1),(38,1),(103,1),(294,1)}
        65:{2,4,6}:{(34,1),(35,1),(100,1),(103,1),(104,1),(199,1),(394,1),(395,1)}
        66:{1,3,5}:{(35,1),(36,1),(104,1),(105,1),(200,1),(205,1),(288,1),(400,1)}
        67:{2,4,5}:{(36,1),(102,1),(105,1),(106,1),(131,1)}
        68:{1,3,5,7}:{(37,1),(38,1),(48,1),(99,1),(108,1),(109,1),(111,1),(205,1)}
        69:{1,2,6}:{(37,1),(49,1),(100,1),(109,1),(469,1)}
        70:{1,3,6}:{(38,1),(39,1),(52,1),(103,1),(111,1),(402,1)}
        71:{1,2,5}:{(39,1),(53,1),(104,1),(111,1),(205,1),(400,1)}
        72:{3,5,6,7}:{(41,1),(113,1),(114,1),(212,1),(380,1),(520,1)}
        73:{1,4,6,7}:{(40,1),(43,1),(46,1),(115,1),(116,1),(125,1)}
        74:{2,5,7}:{(40,1),(41,1),(44,1),(116,1)}
        75:{4,5,7}:{(41,1),(45,1),(114,1)}
        76:{3,5,7}:{(42,1),(118,1),(119,1),(132,1),(217,1),(223,1)}
        77:{2,4,6}:{(42,1),(43,1),(49,1),(119,1),(120,1),(218,1)}
        78:{1,5,6}:{(43,1),(44,1),(116,1),(120,1),(205,1)}
        79:{2,4,5,6}:{(44,1),(45,1),(51,1),(117,1),(121,1),(122,1),(220,1),(296,1),(388,1),(412,1),(519,1),(543,1)}
        80:{2,6,7}:{(46,1),(49,1),(124,1)}
        81:{1,3,5,7}:{(46,1),(47,1),(50,1),(116,1),(124,1),(125,1),(214,1),(223,1),(318,1),(325,1)}
        82:{2,4,7}:{(47,1),(51,1),(125,1),(126,1)}
        83:{2,4,7}:{(48,1),(108,1),(118,1),(127,1),(131,1)}
        84:{2,3,6}:{(48,1),(49,1),(109,1),(119,1),(127,1)}
        85:{2,5,6}:{(49,1),(50,1),(53,1),(124,1),(129,1),(328,1)}
        86:{1,4,6}:{(50,1),(51,1),(54,1),(125,1),(129,1),(218,1)}
        87:{3,4,6}:{(51,1),(55,1),(122,1),(126,1),(543,1)}
        88:{2,3,5}:{(52,1),(53,1),(111,1),(131,1),(132,1)}
        89:{2,4,5}:{(53,1),(54,1),(129,1),(131,1),(132,1)}
        90:{1,3,4,5}:{(54,1),(55,1),(130,1),(132,1),(133,1),(208,1),(230,1),(306,1),(319,1),(411,1),(479,1)}
        91:{2,4,6,7}:{(56,1),(58,1),(60,1),(135,1),(136,1),(144,1)}
        92:{3,5,7}:{(56,1),(59,1),(136,1),(137,1)}
        93:{2,4,5,7}:{(57,1),(61,1),(138,1),(139,1),(145,1),(151,1),(234,1),(243,1),(245,1),(334,1),(337,1)}
        94:{1,4,6}:{(57,1),(58,1),(62,1),(139,1),(140,1)}
        95:{2,5,6}:{(58,1),(59,1),(136,1),(140,1),(174,1)}
        96:{4,5,6}:{(59,1),(137,1),(267,1),(363,1)}
        97:{1,3,6,7}:{(60,1),(62,1),(135,1),(142,1),(143,1),(233,1),(421,1)}
        98:{2,3,5,7}:{(60,1),(63,1),(136,1),(143,1),(144,1),(236,1),(336,1),(344,1)}
        99:{2,3,5,7}:{(61,1),(64,1),(68,1),(138,1),(145,1),(146,1),(150,1),(245,1)}
       100:{2,6}:{(61,1),(62,1)}
       101:{1,3,5,6}:{(62,1),(63,1),(66,1),(140,1),(143,1),(147,1),(148,1),(238,1),(247,1),(340,1),(348,1)}
       102:{2,4,6}:{(63,1),(67,1),(144,1),(148,1),(149,1)}
       103:{2,3,6}:{(64,1),(65,1),(70,1),(150,1),(247,1),(435,1)}
       104:{2,5}:{(65,1),(66,1)}
       105:{1,4,5}:{(66,1),(67,1),(148,1),(151,1),(158,1),(337,1)}
       106:{3,4,5}:{(67,1),(149,1),(178,1),(276,1),(552,1)}
       107:{1,2,6,7}:{(69,1),(80,1),(142,1),(153,1),(154,1),(362,1),(421,1),(436,1),(444,1),(486,1),(496,1)}
       108:{1,4,7}:{(68,1),(83,1),(145,1),(155,1),(158,1)}
       109:{1,3,6}:{(68,1),(69,1),(84,1),(146,1),(155,1)}
       110:{1,2,5,6}:{(69,1),(71,1),(85,1),(147,1),(154,1),(156,1),(157,1),(270,1),(340,1),(355,1),(357,1),(369,1),(428,1),(436,1),(439,1),(496,1)}
       111:{1,3,5}:{(70,1),(71,1),(88,1),(150,1),(158,1)}
       112:{1,2,4,5}:{(71,1),(89,1),(151,1),(157,1),(158,1),(159,1),(180,1),(251,1),(255,1),(258,1),(280,1),(350,1),(355,1),(358,1),(439,1),(448,1),(490,1),(498,1)}
       113:{2,5,6,7}:{(72,1),(74,1),(160,1),(161,1),(341,1),(500,1)}
       114:{4,6,7}:{(72,1),(75,1),(422,1),(534,1)}
       115:{2,4,6,7}:{(73,1),(77,1),(80,1),(162,1),(163,1),(172,1),(264,1)}
       116:{1,5,7}:{(73,1),(74,1),(78,1),(163,1)}
       117:{2,4,5,7}:{(74,1),(75,1),(79,1),(82,1),(161,1),(164,1),(165,1),(266,1),(447,1),(500,1),(534,1)}
       118:{3,4,7}:{(76,1),(83,1),(166,1),(178,1),(264,1)}
       119:{3,6}:{(76,1),(77,1)}
       120:{2,5,6}:{(77,1),(78,1),(163,1),(167,1),(174,1)}
       121:{1,4,5,6}:{(78,1),(79,1),(86,1),(164,1),(168,1),(169,1),(255,1),(270,1),(351,1),(368,1),(499,1)}
       122:{3,5,6}:{(79,1),(87,1),(165,1),(346,1),(429,1),(449,1)}
       123:{2,3,6,7}:{(80,1),(84,1),(153,1),(162,1),(170,1),(171,1),(370,1),(436,1),(486,1),(526,1),(530,1)}
       124:{2,5,7}:{(80,1),(81,1),(85,1),(172,1),(373,1)}
       125:{1,4,7}:{(81,1),(82,1),(86,1),(172,1),(264,1)}
       126:{3,4,7}:{(82,1),(87,1),(165,1),(534,1)}
       127:{2,4,6}:{(83,1),(84,1),(155,1),(166,1),(174,1)}
       128:{2,3,5,6}:{(84,1),(85,1),(88,1),(156,1),(167,1),(171,1),(174,1),(175,1),(176,1),(257,1),(271,1),(276,1),(355,1),(370,1),(428,1),(436,1),(491,1),(495,1),(530,1),(545,1),(548,1)}
       129:{2,4,6}:{(85,1),(86,1),(89,1),(172,1),(176,1)}
       130:{1,3,4,6}:{(86,1),(87,1),(90,1),(169,1),(173,1),(176,1),(177,1),(268,1),(278,1),(368,1),(449,1)}
       131:{2,4}:{(88,1),(158,1),(178,1)}
       132:{3,5}:{(89,1),(176,1),(178,1)}
       133:{2,4,5}:{(90,1),(177,1),(179,1),(180,1),(258,1),(280,1),(355,1)}
       134:{3,5,6,7}:{(92,1),(181,1),(182,1),(283,1),(314,1),(538,1)}
       135:{1,4,6,7}:{(91,1),(94,1),(97,1),(183,1),(184,1),(193,1)}
       136:{2,5,7}:{(91,1),(92,1),(95,1),(184,1)}
       137:{4,5,7}:{(92,1),(96,1),(182,1)}
       138:{3,5,7}:{(93,1),(186,1),(187,1),(200,1),(288,1),(294,1)}
       139:{2,4,6}:{(93,1),(94,1),(100,1),(187,1),(188,1),(289,1)}
       140:{1,5,6}:{(94,1),(95,1),(184,1),(188,1),(205,1)}
       141:{2,4,5,6}:{(95,1),(96,1),(102,1),(185,1),(189,1),(190,1),(225,1),(291,1),(322,1),(463,1),(537,1),(550,1)}
       142:{2,6,7}:{(97,1),(100,1),(192,1)}
       143:{1,3,5,7}:{(97,1),(98,1),(101,1),(184,1),(192,1),(193,1),(285,1),(294,1),(384,1),(391,1)}
       144:{2,4,7}:{(98,1),(102,1),(193,1),(194,1)}
       145:{2,4,7}:{(99,1),(108,1),(186,1),(195,1),(199,1)}
       146:{2,3,6}:{(99,1),(100,1),(109,1),(187,1),(195,1)}
       147:{2,5,6}:{(100,1),(101,1),(104,1),(192,1),(197,1),(394,1)}
       148:{1,4,6}:{(101,1),(102,1),(105,1),(193,1),(197,1),(289,1)}
       149:{3,4,6}:{(102,1),(106,1),(190,1),(194,1),(550,1)}
       150:{2,3,5}:{(103,1),(104,1),(111,1),(199,1),(200,1)}
       151:{2,4,5}:{(104,1),(105,1),(197,1),(199,1),(200,1)}
       152:{1,3,4,5}:{(105,1),(106,1),(198,1),(200,1),(201,1),(208,1),(301,1),(306,1),(385,1),(462,1),(513,1)}
       153:{1,3,6,7}:{(107,1),(109,1),(123,1),(191,1),(202,1),(203,1),(396,1),(469,1),(517,1)}
       154:{1,2,5,7}:{(107,1),(110,1),(124,1),(192,1),(203,1),(204,1),(318,1),(384,1),(397,1),(399,1),(410,1),(461,1)}
       155:{1,4,6}:{(108,1),(109,1),(127,1),(195,1),(205,1)}
       156:{1,3,5,6}:{(109,1),(110,1),(111,1),(128,1),(196,1),(203,1),(205,1),(206,1),(207,1),(302,1),(306,1),(308,1),(396,1),(400,1),(469,1),(472,1),(517,1),(542,1)}
       157:{1,2,4,6}:{(110,1),(112,1),(129,1),(197,1),(204,1),(206,1),(207,1),(228,1),(299,1),(307,1),(328,1),(394,1),(412,1),(463,1)}
       158:{1,4}:{(111,1),(131,1),(199,1)}
       159:{1,3,5}:{(112,1),(132,1),(200,1),(207,1),(208,1),(209,1),(402,1),(479,1),(513,1)}
       160:{1,5,6,7}:{(113,1),(116,1),(210,1),(211,1),(302,1),(474,1)}
       161:{2,4,6,7}:{(113,1),(114,1),(117,1),(211,1),(212,1),(313,1),(388,1)}
       162:{3,6,7}:{(115,1),(119,1),(214,1),(223,1)}
       163:{2,5,7}:{(115,1),(116,1),(120,1),(214,1)}
       164:{1,4,5,7}:{(116,1),(117,1),(121,1),(125,1),(211,1),(215,1),(216,1),(318,1),(409,1),(474,1)}
       165:{3,5,7}:{(117,1),(122,1),(126,1),(212,1),(478,1)}
       166:{3,4,6}:{(118,1),(119,1),(127,1),(217,1),(218,1)}
       167:{3,5,6}:{(119,1),(120,1),(214,1),(217,1),(218,1)}
       168:{2,4,5,6}:{(120,1),(121,1),(129,1),(215,1),(218,1),(219,1),(220,1),(225,1),(320,1),(322,1),(403,1),(473,1)}
       169:{1,3,5,6}:{(121,1),(122,1),(130,1),(216,1),(219,1),(220,1),(306,1),(396,1)}
       170:{2,4,6,7}:{(123,1),(127,1),(202,1),(213,1),(221,1),(222,1),(322,1),(541,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(128,1),(203,1),(214,1),(221,1),(222,1),(223,1),(305,1),(323,1),(397,1),(461,1),(512,1),(538,1)}
       172:{2,4,7}:{(124,1),(125,1),(129,1),(223,1)}
       173:{1,3,4,7}:{(125,1),(126,1),(130,1),(216,1),(223,1),(224,1),(316,1),(325,1),(409,1),(478,1)}
       174:{2,5}:{(127,1),(205,1),(217,1)}
       175:{2,4,6}:{(128,1),(131,1),(206,1),(218,1),(222,1),(225,1),(226,1),(516,1),(550,1)}
       176:{3,6}:{(129,1),(132,1),(223,1)}
       177:{2,4,6}:{(130,1),(133,1),(220,1),(224,1),(227,1),(228,1),(328,1)}
       178:{3,4}:{(131,1),(132,1)}
       179:{2,3,5}:{(132,1),(133,1),(227,1),(229,1),(230,1),(479,1)}
       180:{1,4,5}:{(133,1),(228,1),(230,1),(309,1),(400,1)}
       181:{2,5,6,7}:{(134,1),(136,1),(231,1),(232,1),(271,1),(525,1)}
       182:{4,6,7}:{(134,1),(137,1),(363,1),(546,1)}
       183:{2,4,6,7}:{(135,1),(139,1),(142,1),(233,1),(234,1),(243,1),(334,1)}
       184:{1,5,7}:{(135,1),(136,1),(140,1),(234,1)}
       185:{2,4,5,7}:{(136,1),(137,1),(141,1),(144,1),(232,1),(235,1),(236,1),(336,1),(489,1),(525,1),(546,1)}
       186:{3,4,7}:{(138,1),(145,1),(237,1),(249,1),(334,1)}
       187:{3,6}:{(138,1),(139,1)}
       188:{2,5,6}:{(139,1),(140,1),(234,1),(238,1),(245,1)}
       189:{1,4,5,6}:{(140,1),(141,1),(148,1),(235,1),(239,1),(240,1),(255,1),(340,1),(351,1),(427,1),(524,1)}
       190:{3,5,6}:{(141,1),(149,1),(236,1),(276,1),(370,1),(491,1)}
       191:{2,3,6,7}:{(142,1),(146,1),(153,1),(233,1),(241,1),(242,1),(429,1),(436,1),(444,1),(501,1),(505,1)}
       192:{2,5,7}:{(142,1),(143,1),(147,1),(243,1),(432,1)}
       193:{1,4,7}:{(143,1),(144,1),(148,1),(243,1),(334,1)}
       194:{3,4,7}:{(144,1),(149,1),(236,1),(546,1)}
       195:{2,4,6}:{(145,1),(146,1),(155,1),(237,1),(245,1)}
       196:{2,3,5,6}:{(146,1),(147,1),(150,1),(156,1),(238,1),(242,1),(245,1),(246,1),(247,1),(257,1),(341,1),(346,1),(355,1),(369,1),(429,1),(436,1),(449,1),(453,1),(505,1),(533,1),(536,1)}
       197:{2,4,6}:{(147,1),(148,1),(151,1),(243,1),(247,1)}
       198:{1,3,4,6}:{(148,1),(149,1),(152,1),(240,1),(244,1),(247,1),(248,1),(338,1),(348,1),(427,1),(491,1)}
       199:{2,4}:{(150,1),(158,1),(249,1)}
       200:{3,5}:{(151,1),(247,1),(249,1)}
       201:{2,4,5}:{(152,1),(248,1),(250,1),(251,1),(258,1),(350,1),(355,1)}
       202:{1,4,6,7}:{(153,1),(155,1),(170,1),(241,1),(252,1),(253,1),(351,1),(532,1)}
       203:{1,3,5,7}:{(153,1),(154,1),(156,1),(171,1),(242,1),(252,1),(253,1),(254,1),(354,1),(437,1)}
       204:{1,2,4,7}:{(154,1),(157,1),(172,1),(243,1),(253,1),(254,1),(275,1),(345,1),(353,1),(373,1),(432,1),(447,1),(489,1)}
       205:{1,5}:{(155,1),(174,1),(245,1)}
       206:{1,4,6}:{(156,1),(158,1),(175,1),(246,1),(253,1),(255,1),(498,1)}
       207:{1,3,6}:{(157,1),(159,1),(176,1),(247,1),(254,1),(257,1),(449,1),(491,1)}
       208:{1,3,4}:{(158,1),(159,1),(178,1),(249,1),(258,1),(498,1),(504,1),(529,1)}
       209:{2,3,5}:{(159,1),(257,1),(258,1),(259,1),(280,1),(350,1),(355,1),(376,1),(435,1)}
       210:{2,5,6,7}:{(160,1),(163,1),(260,1),(261,1),(271,1),(442,1)}
       211:{1,4,6,7}:{(160,1),(161,1),(164,1),(261,1),(262,1),(351,1),(362,1)}
       212:{3,6,7}:{(161,1),(165,1),(429,1)}
       213:{3,4,6,7}:{(162,1),(166,1),(170,1),(263,1),(264,1),(273,1),(363,1),(370,1),(526,1),(546,1),(547,1)}
       214:{3,5,7}:{(162,1),(163,1),(167,1),(264,1)}
       215:{2,4,5,7}:{(163,1),(164,1),(168,1),(172,1),(261,1),(264,1),(265,1),(266,1),(359,1),(365,1),(442,1)}
       216:{1,3,5,7}:{(164,1),(165,1),(169,1),(173,1),(262,1),(265,1),(266,1)}
       217:{3,5}:{(166,1),(174,1),(267,1)}
       218:{4,6}:{(167,1),(264,1),(267,1)}
       219:{3,5,6}:{(168,1),(176,1),(265,1),(268,1),(276,1),(370,1)}
       220:{2,5,6}:{(169,1),(177,1),(266,1),(270,1),(355,1),(436,1)}
       221:{2,5,7}:{(170,1),(174,1),(252,1),(263,1),(271,1),(548,1)}
       222:{2,4,7}:{(171,1),(175,1),(253,1),(264,1),(273,1),(546,1)}
       223:{3,7}:{(172,1),(176,1)}
       224:{2,4,7}:{(173,1),(177,1),(266,1),(274,1),(275,1),(373,1)}
       225:{2,4,5}:{(174,1),(175,1),(255,1),(267,1),(276,1),(355,1),(548,1),(552,1)}
       226:{3,4,6}:{(175,1),(176,1),(178,1),(273,1),(276,1),(370,1),(491,1),(529,1)}
       227:{2,3,6}:{(176,1),(177,1),(179,1),(274,1),(278,1),(449,1)}
       228:{1,4,6}:{(177,1),(180,1),(270,1),(275,1),(278,1)}
       229:{2,3,4}:{(178,1),(179,1),(258,1),(279,1),(435,1),(504,1)}
       230:{1,3,5}:{(179,1),(180,1),(278,1),(279,1),(280,1)}
       231:{1,5,6,7}:{(181,1),(184,1),(281,1),(282,1),(302,1),(508,1)}
       232:{2,4,6,7}:{(181,1),(182,1),(185,1),(282,1),(283,1),(322,1),(379,1)}
       233:{3,6,7}:{(183,1),(187,1),(285,1),(294,1)}
       234:{2,5,7}:{(183,1),(184,1),(188,1),(285,1)}
       235:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(282,1),(286,1),(287,1),(384,1),(460,1),(508,1)}
       236:{3,5,7}:{(185,1),(190,1),(194,1),(283,1),(512,1)}
       237:{3,4,6}:{(186,1),(187,1),(195,1),(288,1),(289,1)}
       238:{3,5,6}:{(187,1),(188,1),(285,1),(288,1),(289,1)}
       239:{2,4,5,6}:{(188,1),(189,1),(197,1),(286,1),(289,1),(290,1),(291,1),(296,1),(386,1),(388,1),(454,1),(507,1)}
       240:{1,3,5,6}:{(189,1),(190,1),(198,1),(287,1),(290,1),(291,1),(306,1),(396,1)}
       241:{2,4,6,7}:{(191,1),(195,1),(202,1),(284,1),(292,1),(293,1),(388,1),(523,1)}
       242:{2,3,5,7}:{(191,1),(192,1),(196,1),(203,1),(285,1),(292,1),(293,1),(294,1),(305,1),(389,1),(397,1),(410,1),(478,1),(520,1)}
       243:{2,4,7}:{(192,1),(193,1),(197,1),(294,1)}
       244:{1,3,4,7}:{(193,1),(194,1),(198,1),(287,1),(294,1),(295,1),(382,1),(391,1),(460,1),(512,1)}
       245:{2,5}:{(195,1),(205,1),(288,1)}
       246:{2,4,6}:{(196,1),(199,1),(206,1),(289,1),(293,1),(296,1),(297,1),(482,1),(543,1)}
       247:{3,6}:{(197,1),(200,1),(294,1)}
       248:{2,4,6}:{(198,1),(201,1),(291,1),(295,1),(298,1),(299,1),(394,1)}
       249:{3,4}:{(199,1),(200,1)}
       250:{2,3,5}:{(200,1),(201,1),(298,1),(300,1),(301,1),(513,1)}
       251:{1,4,5}:{(201,1),(299,1),(301,1),(309,1),(400,1)}
       252:{1,5,7}:{(202,1),(205,1),(221,1),(292,1),(302,1),(542,1)}
       253:{1,4,7}:{(203,1),(206,1),(222,1),(293,1)}
       254:{1,3,7}:{(204,1),(207,1),(223,1),(294,1),(305,1),(478,1),(512,1)}
       255:{1,4,5}:{(205,1),(206,1),(225,1),(296,1),(306,1),(400,1),(542,1)}
       256:{1,3,4,6}:{(206,1),(207,1),(208,1),(226,1),(297,1),(304,1),(306,1),(307,1),(396,1)}
       257:{2,3,6}:{(207,1),(209,1),(305,1),(307,1),(308,1),(328,1),(394,1)}
       258:{2,4}:{(208,1),(209,1),(309,1)}
       259:{1,3,5}:{(209,1),(308,1),(309,1),(310,1),(400,1),(402,1)}
       260:{3,5,6,7}:{(210,1),(214,1),(311,1),(312,1),(314,1),(404,1)}
       261:{2,4,6,7}:{(210,1),(211,1),(215,1),(311,1),(312,1),(313,1),(322,1)}
       262:{1,3,6,7}:{(211,1),(212,1),(216,1),(312,1),(313,1),(396,1)}
       263:{3,5,7}:{(213,1),(217,1),(221,1),(314,1),(315,1),(551,1)}
       264:{4,7}:{(214,1),(218,1)}
       265:{3,5,7}:{(215,1),(219,1),(223,1),(312,1),(316,1)}
       266:{2,5,7}:{(216,1),(220,1),(224,1),(313,1),(318,1)}
       267:{4,5}:{(217,1),(218,1)}
       268:{3,4,6}:{(218,1),(219,1),(316,1),(319,1),(320,1)}
       269:{2,3,5,6}:{(219,1),(220,1),(227,1),(317,1),(320,1),(321,1),(326,1),(413,1),(473,1)}
       270:{1,5,6}:{(220,1),(228,1),(318,1),(400,1),(469,1)}
       271:{2,5,6}:{(221,1),(302,1),(314,1),(322,1)}
       272:{2,4,5,7}:{(221,1),(222,1),(225,1),(303,1),(315,1),(322,1),(323,1),(397,1)}
       273:{3,4,7}:{(222,1),(223,1),(226,1),(323,1),(512,1)}
       274:{2,3,7}:{(223,1),(224,1),(227,1),(325,1),(478,1)}
       275:{1,4,7}:{(224,1),(228,1),(318,1),(325,1)}
       276:{3,5}:{(225,1),(226,1)}
       277:{2,3,4,6}:{(226,1),(227,1),(229,1),(307,1),(320,1),(324,1),(326,1),(327,1),(413,1),(468,1),(516,1),(541,1)}
       278:{1,3,6}:{(227,1),(228,1),(230,1),(325,1),(328,1)}
       279:{1,3,4}:{(229,1),(230,1),(309,1),(329,1),(402,1)}
       280:{2,5}:{(230,1),(328,1),(329,1)}
       281:{2,5,6,7}:{(231,1),(234,1),(330,1),(331,1),(341,1),(484,1)}
       282:{1,4,6,7}:{(231,1),(232,1),(235,1),(331,1),(332,1),(351,1),(421,1)}
       283:{3,6,7}:{(232,1),(236,1),(370,1)}
       284:{3,4,6,7}:{(233,1),(237,1),(241,1),(333,1),(334,1),(343,1),(422,1),(429,1),(501,1),(534,1),(535,1)}
       285:{3,5,7}:{(233,1),(234,1),(238,1),(334,1)}
       286:{2,4,5,7}:{(234,1),(235,1),(239,1),(243,1),(331,1),(334,1),(335,1),(336,1),(418,1),(424,1),(484,1)}
       287:{1,3,5,7}:{(235,1),(236,1),(240,1),(244,1),(332,1),(335,1),(336,1)}
       288:{3,5}:{(237,1),(245,1),(337,1)}
       289:{4,6}:{(238,1),(334,1),(337,1)}
       290:{3,5,6}:{(239,1),(247,1),(335,1),(338,1),(346,1),(429,1)}
       291:{2,5,6}:{(240,1),(248,1),(336,1),(340,1),(355,1),(436,1)}
       292:{2,5,7}:{(241,1),(245,1),(252,1),(333,1),(341,1),(536,1)}
       293:{2,4,7}:{(242,1),(246,1),(253,1),(334,1),(343,1),(534,1)}
       294:{3,7}:{(243,1),(247,1)}
       295:{2,4,7}:{(244,1),(248,1),(336,1),(344,1),(345,1),(432,1)}
       296:{2,4,5}:{(245,1),(246,1),(255,1),(337,1),(346,1),(355,1),(536,1),(549,1)}
       297:{3,4,6}:{(246,1),(247,1),(249,1),(343,1),(346,1),(429,1),(449,1),(504,1)}
       298:{2,3,6}:{(247,1),(248,1),(250,1),(344,1),(348,1),(491,1)}
       299:{1,4,6}:{(248,1),(251,1),(340,1),(345,1),(348,1)}
       300:{2,3,4}:{(249,1),(250,1),(258,1),(349,1),(376,1),(529,1)}
       301:{1,3,5}:{(250,1),(251,1),(348,1),(349,1),(350,1)}
       302:{1,5,6}:{(252,1),(271,1),(341,1),(351,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(255,1),(272,1),(342,1),(351,1),(352,1),(437,1)}
       304:{1,3,4,7}:{(253,1),(254,1),(256,1),(273,1),(343,1),(352,1),(353,1)}
       305:{2,3,7}:{(254,1),(257,1),(353,1),(354,1),(373,1),(432,1)}
       306:{1,3,5}:{(255,1),(256,1),(276,1),(346,1),(355,1)}
       307:{2,4,6}:{(256,1),(257,1),(258,1),(353,1),(355,1),(356,1),(436,1)}
       308:{1,3,6}:{(257,1),(259,1),(354,1),(356,1),(357,1)}
       309:{1,4}:{(258,1),(259,1)}
       310:{1,2,5}:{(259,1),(280,1),(350,1),(357,1),(358,1)}
       311:{4,6,7}:{(260,1),(264,1),(359,1),(363,1)}
       312:{3,6,7}:{(261,1),(265,1),(370,1)}
       313:{2,6,7}:{(262,1),(266,1),(362,1),(436,1)}
       314:{3,5,6}:{(263,1),(271,1),(363,1),(370,1)}
       315:{4,5,7}:{(263,1),(264,1),(267,1),(363,1),(546,1),(552,1)}
       316:{3,4,7}:{(264,1),(265,1),(268,1),(365,1)}
       317:{2,3,5,7}:{(265,1),(266,1),(269,1),(274,1),(361,1),(365,1),(366,1),(442,1)}
       318:{1,5,7}:{(266,1),(270,1),(275,1),(362,1)}
       319:{3,4,5}:{(267,1),(268,1),(276,1),(367,1),(529,1)}
       320:{2,4,6}:{(268,1),(269,1),(365,1),(367,1),(368,1)}
       321:{1,3,5,6}:{(269,1),(270,1),(278,1),(366,1),(368,1),(369,1),(374,1),(449,1),(450,1),(499,1),(533,1)}
       322:{2,4,6}:{(271,1),(272,1),(351,1),(363,1),(370,1),(436,1)}
       323:{3,5,7}:{(272,1),(273,1),(276,1),(370,1)}
       324:{2,3,4,7}:{(273,1),(274,1),(277,1),(353,1),(365,1),(371,1),(372,1),(494,1),(531,1)}
       325:{1,3,7}:{(274,1),(275,1),(278,1),(373,1)}
       326:{2,3,5}:{(276,1),(277,1),(355,1),(367,1),(374,1),(548,1)}
       327:{1,3,4,6}:{(277,1),(278,1),(279,1),(356,1),(368,1),(372,1),(374,1),(375,1),(440,1),(449,1),(450,1),(498,1),(504,1),(532,1),(535,1)}
       328:{2,6}:{(278,1),(280,1),(373,1)}
       329:{2,4}:{(279,1),(280,1),(376,1)}
       330:{3,5,6,7}:{(281,1),(285,1),(377,1),(378,1),(380,1),(455,1)}
       331:{2,4,6,7}:{(281,1),(282,1),(286,1),(377,1),(378,1),(379,1),(388,1)}
       332:{1,3,6,7}:{(282,1),(283,1),(287,1),(378,1),(379,1),(396,1)}
       333:{3,5,7}:{(284,1),(288,1),(292,1),(380,1),(381,1),(544,1)}
       334:{4,7}:{(285,1),(289,1)}
       335:{3,5,7}:{(286,1),(290,1),(294,1),(378,1),(382,1)}
       336:{2,5,7}:{(287,1),(291,1),(295,1),(379,1),(384,1)}
       337:{4,5}:{(288,1),(289,1)}
       338:{3,4,6}:{(289,1),(290,1),(382,1),(385,1),(386,1)}
       339:{2,3,5,6}:{(290,1),(291,1),(298,1),(383,1),(386,1),(387,1),(392,1),(464,1),(507,1)}
       340:{1,5,6}:{(291,1),(299,1),(384,1),(400,1),(469,1)}
       341:{2,5,6}:{(292,1),(302,1),(380,1),(388,1)}
       342:{2,4,5,7}:{(292,1),(293,1),(296,1),(303,1),(381,1),(388,1),(389,1),(397,1)}
       343:{3,4,7}:{(293,1),(294,1),(297,1),(389,1),(478,1)}
       344:{2,3,7}:{(294,1),(295,1),(298,1),(391,1),(512,1)}
       345:{1,4,7}:{(295,1),(299,1),(384,1),(391,1)}
       346:{3,5}:{(296,1),(297,1)}
       347:{2,3,4,6}:{(297,1),(298,1),(300,1),(307,1),(386,1),(390,1),(392,1),(393,1),(417,1),(464,1),(482,1),(523,1)}
       348:{1,3,6}:{(298,1),(299,1),(301,1),(391,1),(394,1)}
       349:{1,3,4}:{(300,1),(301,1),(309,1),(395,1),(402,1)}
       350:{2,5}:{(301,1),(394,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(322,1),(388,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(306,1),(323,1),(389,1),(396,1),(397,1)}
       353:{2,4,7}:{(304,1),(305,1),(307,1),(397,1),(398,1)}
       354:{1,3,7}:{(305,1),(308,1),(398,1),(399,1)}
       355:{2,5}:{(306,1),(307,1),(400,1)}
       356:{1,4,6}:{(307,1),(308,1),(309,1),(398,1),(400,1),(469,1)}
       357:{1,2,6}:{(308,1),(310,1),(328,1),(394,1),(399,1)}
       358:{1,2,4}:{(309,1),(310,1),(329,1),(395,1),(402,1)}
       359:{4,5,7}:{(311,1),(403,1),(404,1)}
       360:{3,4,6,7}:{(311,1),(312,1),(316,1),(404,1),(405,1),(407,1)}
       361:{2,3,6,7}:{(312,1),(313,1),(317,1),(405,1),(406,1),(413,1)}
       362:{1,6,7}:{(313,1),(318,1),(469,1)}
       363:{4,6}:{(314,1),(315,1)}
       364:{3,4,5,7}:{(315,1),(316,1),(319,1),(323,1),(404,1),(407,1),(408,1),(540,1),(551,1)}
       365:{2,4,7}:{(316,1),(317,1),(320,1),(409,1)}
       366:{1,3,5,7}:{(317,1),(318,1),(321,1),(325,1),(406,1),(409,1),(410,1),(474,1),(478,1),(520,1)}
       367:{2,4,5}:{(319,1),(320,1),(326,1),(411,1),(516,1)}
       368:{1,4,6}:{(320,1),(321,1),(409,1),(411,1),(412,1),(543,1)}
       369:{2,5,6}:{(321,1),(328,1),(410,1),(412,1),(416,1),(480,1)}
       370:{3,6}:{(322,1),(323,1)}
       371:{2,3,5,7}:{(323,1),(324,1),(326,1),(397,1),(408,1),(413,1),(414,1)}
       372:{1,3,4,7}:{(324,1),(325,1),(327,1),(398,1),(409,1),(414,1),(415,1),(471,1),(478,1),(518,1),(522,1)}
       373:{2,7}:{(325,1),(328,1)}
       374:{1,3,5}:{(326,1),(327,1),(400,1),(411,1),(416,1),(479,1),(542,1),(544,1)}
       375:{2,4,6}:{(327,1),(328,1),(329,1),(415,1),(416,1),(417,1),(480,1),(482,1)}
       376:{2,3}:{(329,1),(402,1)}
       377:{4,6,7}:{(330,1),(334,1),(418,1),(422,1)}
       378:{3,6,7}:{(331,1),(335,1),(429,1)}
       379:{2,6,7}:{(332,1),(336,1),(421,1),(436,1)}
       380:{3,5,6}:{(333,1),(341,1),(422,1),(429,1)}
       381:{4,5,7}:{(333,1),(334,1),(337,1),(422,1),(534,1),(549,1)}
       382:{3,4,7}:{(334,1),(335,1),(338,1),(424,1)}
       383:{2,3,5,7}:{(335,1),(336,1),(339,1),(344,1),(420,1),(424,1),(425,1),(484,1)}
       384:{1,5,7}:{(336,1),(340,1),(345,1),(421,1)}
       385:{3,4,5}:{(337,1),(338,1),(346,1),(426,1),(504,1)}
       386:{2,4,6}:{(338,1),(339,1),(424,1),(426,1),(427,1)}
       387:{1,3,5,6}:{(339,1),(340,1),(348,1),(425,1),(427,1),(428,1),(433,1),(491,1),(492,1),(524,1),(545,1)}
       388:{2,4,6}:{(341,1),(342,1),(351,1),(422,1),(429,1),(436,1)}
       389:{3,5,7}:{(342,1),(343,1),(346,1),(429,1)}
       390:{2,3,4,7}:{(343,1),(344,1),(347,1),(353,1),(424,1),(430,1),(431,1),(452,1),(506,1)}
       391:{1,3,7}:{(344,1),(345,1),(348,1),(432,1)}
       392:{2,3,5}:{(346,1),(347,1),(355,1),(426,1),(433,1),(536,1)}
       393:{1,3,4,6}:{(347,1),(348,1),(349,1),(356,1),(427,1),(431,1),(433,1),(434,1),(440,1),(491,1),(492,1),(498,1),(529,1),(532,1),(547,1)}
       394:{2,6}:{(348,1),(350,1),(432,1)}
       395:{2,4}:{(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(370,1),(429,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(355,1),(436,1),(437,1)}
       398:{1,4,7}:{(353,1),(354,1),(356,1),(437,1)}
       399:{1,2,7}:{(354,1),(357,1),(373,1),(432,1)}
       400:{1,5}:{(355,1),(356,1)}
       401:{1,2,4,6}:{(356,1),(357,1),(358,1),(375,1),(434,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       402:{1,3}:{(358,1),(376,1),(435,1)}
       403:{4,5,6}:{(359,1),(363,1),(441,1),(552,1)}
       404:{3,5,7}:{(359,1),(360,1),(441,1),(442,1)}
       405:{2,4,6,7}:{(360,1),(361,1),(365,1),(442,1),(443,1),(445,1)}
       406:{1,3,6,7}:{(361,1),(362,1),(366,1),(443,1),(444,1),(450,1),(501,1)}
       407:{3,4,6}:{(363,1),(364,1),(370,1),(441,1),(445,1)}
       408:{2,4,5,7}:{(364,1),(365,1),(367,1),(371,1),(442,1),(445,1),(446,1),(531,1),(548,1)}
       409:{1,4,7}:{(365,1),(366,1),(368,1),(447,1),(534,1)}
       410:{2,5,7}:{(366,1),(369,1),(373,1),(444,1),(447,1)}
       411:{1,4,5}:{(367,1),(368,1),(374,1),(448,1),(498,1),(549,1)}
       412:{2,4,6}:{(368,1),(369,1),(447,1),(448,1),(449,1)}
       413:{2,3,6}:{(370,1),(371,1),(436,1),(445,1),(450,1)}
       414:{1,3,5,7}:{(371,1),(372,1),(374,1),(437,1),(446,1),(450,1),(451,1),(503,1)}
       415:{2,4,7}:{(372,1),(373,1),(375,1),(451,1),(452,1)}
       416:{2,5}:{(374,1),(375,1)}
       417:{2,3,6}:{(375,1),(376,1),(440,1),(449,1),(452,1),(453,1)}
       418:{4,5,7}:{(377,1),(454,1),(455,1)}
       419:{3,4,6,7}:{(377,1),(378,1),(382,1),(455,1),(456,1),(458,1)}
       420:{2,3,6,7}:{(378,1),(379,1),(383,1),(456,1),(457,1),(464,1)}
       421:{1,6,7}:{(379,1),(384,1),(469,1)}
       422:{4,6}:{(380,1),(381,1)}
       423:{3,4,5,7}:{(381,1),(382,1),(385,1),(389,1),(455,1),(458,1),(459,1),(522,1),(544,1)}
       424:{2,4,7}:{(382,1),(383,1),(386,1),(460,1)}
       425:{1,3,5,7}:{(383,1),(384,1),(387,1),(391,1),(457,1),(460,1),(461,1),(508,1),(512,1),(538,1)}
       426:{2,4,5}:{(385,1),(386,1),(392,1),(462,1),(482,1)}
       427:{1,4,6}:{(386,1),(387,1),(460,1),(462,1),(463,1),(550,1)}
       428:{2,5,6}:{(387,1),(394,1),(461,1),(463,1),(467,1),(514,1)}
       429:{3,6}:{(388,1),(389,1)}
       430:{2,3,5,7}:{(389,1),(390,1),(392,1),(397,1),(459,1),(464,1),(465,1)}
       431:{1,3,4,7}:{(390,1),(391,1),(393,1),(398,1),(460,1),(465,1),(466,1),(471,1),(512,1),(518,1),(540,1)}
       432:{2,7}:{(391,1),(394,1)}
       433:{1,3,5}:{(392,1),(393,1),(400,1),(462,1),(467,1),(513,1),(542,1),(551,1)}
       434:{2,4,6}:{(393,1),(394,1),(395,1),(466,1),(467,1),(468,1),(514,1),(516,1)}
       435:{2,3}:{(395,1),(402,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(400,1),(469,1)}
       438:{1,2,4,7}:{(398,1),(399,1),(401,1),(415,1),(466,1),(470,1),(471,1),(518,1)}
       439:{1,2,5}:{(400,1),(401,1),(416,1),(467,1),(472,1),(542,1)}
       440:{1,3,6}:{(401,1),(402,1),(417,1),(468,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(407,1),(473,1),(551,1)}
       442:{2,5,7}:{(404,1),(405,1),(473,1),(474,1)}
       443:{1,4,6,7}:{(405,1),(406,1),(409,1),(474,1),(475,1),(476,1)}
       444:{2,6,7}:{(406,1),(410,1),(480,1)}
       445:{2,4,6}:{(407,1),(408,1),(413,1),(473,1),(476,1)}
       446:{1,4,5,7}:{(408,1),(409,1),(411,1),(414,1),(474,1),(476,1),(477,1),(518,1),(542,1)}
       447:{2,4,7}:{(409,1),(410,1),(412,1),(478,1)}
       448:{2,4,5}:{(411,1),(412,1),(416,1),(479,1),(482,1)}
       449:{3,6}:{(412,1),(478,1),(479,1)}
       450:{1,3,6}:{(413,1),(414,1),(469,1),(476,1),(480,1),(521,1)}
       451:{2,5,7}:{(414,1),(415,1),(416,1),(480,1)}
       452:{2,3,7}:{(415,1),(417,1),(471,1),(478,1)}
       453:{2,3,5}:{(416,1),(417,1),(472,1),(479,1),(482,1)}
       454:{4,5,6}:{(418,1),(422,1),(483,1),(549,1)}
       455:{3,5,7}:{(418,1),(419,1),(483,1),(484,1)}
       456:{2,4,6,7}:{(419,1),(420,1),(424,1),(484,1),(485,1),(487,1)}
       457:{1,3,6,7}:{(420,1),(421,1),(425,1),(485,1),(486,1),(492,1),(526,1)}
       458:{3,4,6}:{(422,1),(423,1),(429,1),(483,1),(487,1)}
       459:{2,4,5,7}:{(423,1),(424,1),(426,1),(430,1),(484,1),(487,1),(488,1),(506,1),(536,1)}
       460:{1,4,7}:{(424,1),(425,1),(427,1),(489,1),(546,1)}
       461:{2,5,7}:{(425,1),(428,1),(432,1),(486,1),(489,1)}
       462:{1,4,5}:{(426,1),(427,1),(433,1),(490,1),(498,1),(552,1)}
       463:{2,4,6}:{(427,1),(428,1),(489,1),(490,1),(491,1)}
       464:{2,3,6}:{(429,1),(430,1),(436,1),(487,1),(492,1)}
       465:{1,3,5,7}:{(430,1),(431,1),(433,1),(437,1),(488,1),(492,1),(493,1),(528,1)}
       466:{2,4,7}:{(431,1),(432,1),(434,1),(493,1),(494,1)}
       467:{2,5}:{(433,1),(434,1)}
       468:{2,3,6}:{(434,1),(435,1),(440,1),(491,1),(494,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(451,1),(493,1),(496,1),(497,1)}
       471:{1,3,7}:{(438,1),(440,1),(452,1),(494,1)}
       472:{1,3,5}:{(439,1),(440,1),(453,1),(495,1),(498,1)}
       473:{2,5,6}:{(441,1),(442,1),(445,1),(499,1),(548,1)}
       474:{1,5,7}:{(442,1),(443,1),(499,1),(500,1)}
       475:{2,4,6,7}:{(443,1),(444,1),(447,1),(500,1),(501,1),(502,1),(534,1)}
       476:{1,4,6}:{(445,1),(446,1),(450,1),(499,1),(502,1)}
       477:{2,4,5,7}:{(446,1),(447,1),(448,1),(451,1),(500,1),(502,1),(503,1),(506,1),(534,1),(536,1),(549,1)}
       478:{3,7}:{(447,1),(449,1)}
       479:{3,5}:{(448,1),(449,1),(504,1)}
       480:{2,6}:{(450,1),(451,1)}
       481:{2,3,5,7}:{(451,1),(452,1),(453,1),(497,1),(503,1),(505,1),(506,1),(536,1)}
       482:{2,4}:{(453,1),(498,1),(504,1)}
       483:{3,5,6}:{(454,1),(455,1),(458,1),(507,1),(544,1)}
       484:{2,5,7}:{(455,1),(456,1),(507,1),(508,1)}
       485:{1,4,6,7}:{(456,1),(457,1),(460,1),(508,1),(509,1),(510,1)}
       486:{2,6,7}:{(457,1),(461,1),(514,1)}
       487:{2,4,6}:{(458,1),(459,1),(464,1),(507,1),(510,1)}
       488:{1,4,5,7}:{(459,1),(460,1),(462,1),(465,1),(508,1),(510,1),(511,1),(518,1),(542,1)}
       489:{2,4,7}:{(460,1),(461,1),(463,1),(512,1)}
       490:{2,4,5}:{(462,1),(463,1),(467,1),(513,1),(516,1)}
       491:{3,6}:{(463,1),(512,1),(513,1)}
       492:{1,3,6}:{(464,1),(465,1),(469,1),(510,1),(514,1),(539,1)}
       493:{2,5,7}:{(465,1),(466,1),(467,1),(514,1)}
       494:{2,3,7}:{(466,1),(468,1),(471,1),(512,1)}
       495:{2,3,5}:{(467,1),(468,1),(472,1),(513,1),(516,1)}
       496:{1,2,6}:{(469,1),(470,1),(480,1),(514,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(481,1),(515,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(472,1),(482,1),(516,1)}
       499:{1,5,6}:{(473,1),(474,1),(476,1),(519,1),(542,1)}
       500:{2,5,7}:{(474,1),(475,1),(519,1),(520,1)}
       501:{3,6,7}:{(475,1),(478,1),(520,1),(521,1)}
       502:{2,4,6}:{(476,1),(477,1),(480,1),(519,1),(521,1),(543,1)}
       503:{3,5,7}:{(477,1),(478,1),(479,1),(521,1),(522,1),(544,1)}
       504:{3,4}:{(479,1),(482,1)}
       505:{2,3,6}:{(480,1),(481,1),(517,1),(521,1),(523,1)}
       506:{2,4,7}:{(481,1),(482,1),(518,1),(522,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(487,1),(524,1),(536,1)}
       508:{1,5,7}:{(484,1),(485,1),(524,1),(525,1)}
       509:{2,4,6,7}:{(485,1),(486,1),(489,1),(525,1),(526,1),(527,1),(546,1)}
       510:{1,4,6}:{(487,1),(488,1),(492,1),(524,1),(527,1)}
       511:{2,4,5,7}:{(488,1),(489,1),(490,1),(493,1),(525,1),(527,1),(528,1),(531,1),(546,1),(548,1),(552,1)}
       512:{3,7}:{(489,1),(491,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{2,6}:{(492,1),(493,1)}
       515:{2,3,5,7}:{(493,1),(494,1),(495,1),(497,1),(528,1),(530,1),(531,1),(548,1)}
       516:{2,4}:{(495,1),(498,1),(529,1)}
       517:{1,3,6}:{(496,1),(497,1),(505,1),(530,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(506,1),(531,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(502,1),(533,1),(536,1)}
       520:{3,5,7}:{(500,1),(501,1),(533,1),(534,1)}
       521:{3,6}:{(502,1),(503,1)}
       522:{3,4,7}:{(503,1),(504,1),(506,1),(534,1),(535,1)}
       523:{2,4,6}:{(505,1),(506,1),(532,1),(535,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(510,1),(537,1),(542,1)}
       525:{2,5,7}:{(508,1),(509,1),(537,1),(538,1)}
       526:{3,6,7}:{(509,1),(512,1),(538,1),(539,1)}
       527:{2,4,6}:{(510,1),(511,1),(514,1),(537,1),(539,1),(550,1)}
       528:{3,5,7}:{(511,1),(512,1),(513,1),(539,1),(540,1),(551,1)}
       529:{3,4}:{(513,1),(516,1)}
       530:{2,3,6}:{(514,1),(515,1),(517,1),(539,1),(541,1)}
       531:{2,4,7}:{(515,1),(516,1),(518,1),(540,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(521,1),(543,1),(544,1)}
       534:{4,7}:{(520,1),(543,1)}
       535:{3,4,6}:{(521,1),(522,1),(523,1),(543,1),(544,1)}
       536:{2,5}:{(523,1),(542,1),(544,1)}
       537:{2,5,6}:{(524,1),(525,1),(527,1),(545,1),(548,1)}
       538:{3,5,7}:{(525,1),(526,1),(545,1),(546,1)}
       539:{3,6}:{(527,1),(528,1)}
       540:{3,4,7}:{(528,1),(529,1),(531,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(547,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5}:{(535,1),(536,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(539,1),(550,1),(551,1)}
       546:{4,7}:{(538,1),(550,1)}
       547:{3,4,6}:{(539,1),(540,1),(541,1),(550,1),(551,1)}
       548:{2,5}:{(541,1),(542,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5}:{(547,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 918 :   0:{2,3,4}:{(2,1),(3,1),(51,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(134,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(32,1),(74,1),(80,1)}
         4:{2,3,4}:{(12,1),(13,1),(24,1),(62,1)}
         5:{4,5,6}:{(16,1),(17,1),(142,1),(152,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,4,5}:{(1,1),(2,1),(19,1),(20,1),(91,1),(123,1)}
         8:{2,3,6}:{(2,1),(19,1),(21,1),(22,1)}
         9:{1,3,5}:{(2,1),(3,1),(20,1),(22,1),(23,1),(59,1)}
        10:{2,4}:{(3,1),(23,1),(24,1)}
        11:{3,4,5}:{(26,1),(27,1),(80,1),(115,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(29,1)}
        13:{1,3,4}:{(4,1),(29,1),(30,1),(32,1),(74,1),(106,1)}
        14:{1,2,4}:{(10,1),(30,1),(31,1),(32,1),(74,1)}
        15:{5,6,7}:{(33,1),(153,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(6,1),(34,1),(35,1),(134,1),(149,1)}
        18:{3,4,7}:{(6,1),(34,1),(36,1)}
        19:{2,4,6}:{(6,1),(7,1),(8,1),(35,1),(36,1),(37,1)}
        20:{1,4,5}:{(7,1),(9,1),(37,1),(38,1),(74,1),(110,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(79,1)}
        23:{2,5}:{(9,1),(10,1),(40,1)}
        24:{2,3}:{(10,1),(32,1)}
        25:{4,5,6}:{(43,1),(44,1),(127,1),(146,1)}
        26:{3,4,6}:{(11,1),(44,1),(45,1),(46,1)}
        27:{2,4,5}:{(11,1),(12,1),(46,1),(47,1),(62,1),(100,1)}
        28:{2,3,6}:{(12,1),(46,1),(48,1),(49,1)}
        29:{1,3,5}:{(12,1),(13,1),(47,1),(49,1),(50,1),(88,1)}
        30:{2,4}:{(13,1),(50,1),(51,1)}
        31:{1,2,5}:{(14,1),(23,1),(50,1),(52,1),(53,1)}
        32:{1,3}:{(14,1),(24,1),(51,1)}
        33:{4,6,7}:{(15,1),(16,1),(54,1),(152,1)}
        34:{3,5,7}:{(16,1),(17,1),(18,1),(54,1),(55,1)}
        35:{2,5,6}:{(17,1),(19,1),(55,1),(56,1),(123,1),(144,1)}
        36:{2,4,7}:{(18,1),(19,1),(21,1),(55,1),(57,1)}
        37:{1,4,6}:{(19,1),(20,1),(22,1),(56,1),(57,1),(58,1)}
        38:{2,4,5}:{(20,1),(23,1),(58,1),(59,1),(62,1),(100,1),(127,1)}
        39:{1,3,7}:{(21,1),(22,1),(57,1),(60,1),(97,1)}
        40:{2,6}:{(22,1),(23,1),(60,1)}
        41:{2,3,5}:{(23,1),(24,1),(53,1),(59,1),(61,1),(62,1),(100,1)}
        42:{5,6,7}:{(63,1),(150,1)}
        43:{4,5,7}:{(25,1),(63,1),(64,1)}
        44:{3,5,6}:{(25,1),(26,1),(64,1),(65,1),(115,1),(139,1)}
        45:{3,4,7}:{(26,1),(64,1),(66,1)}
        46:{2,4,6}:{(26,1),(27,1),(28,1),(65,1),(66,1),(67,1)}
        47:{1,4,5}:{(27,1),(29,1),(67,1),(68,1),(74,1),(110,1)}
        48:{2,3,7}:{(28,1),(66,1),(69,1)}
        49:{1,3,6}:{(28,1),(29,1),(67,1),(69,1),(70,1),(105,1)}
        50:{2,5}:{(29,1),(30,1),(70,1)}
        51:{2,3}:{(30,1),(32,1)}
        52:{1,2,6}:{(31,1),(40,1),(70,1),(72,1),(73,1)}
        53:{1,3,5}:{(31,1),(32,1),(41,1),(71,1),(73,1),(74,1),(110,1)}
        54:{3,6,7}:{(33,1),(34,1),(75,1),(149,1)}
        55:{2,5,7}:{(34,1),(35,1),(36,1),(75,1),(76,1)}
        56:{1,5,6}:{(35,1),(37,1),(76,1),(77,1),(110,1),(136,1)}
        57:{1,4,7}:{(36,1),(37,1),(39,1),(76,1),(78,1)}
        58:{2,4,6}:{(37,1),(38,1),(40,1),(77,1),(78,1),(79,1),(113,1)}
        59:{3,5}:{(38,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(40,1)}
        61:{2,3,6}:{(40,1),(41,1),(73,1),(79,1),(81,1),(82,1)}
        62:{2,4}:{(41,1),(74,1),(80,1)}
        63:{4,6,7}:{(42,1),(43,1),(83,1),(146,1)}
        64:{3,5,7}:{(43,1),(44,1),(45,1),(83,1),(84,1)}
        65:{2,5,6}:{(44,1),(46,1),(84,1),(85,1),(100,1),(129,1)}
        66:{2,4,7}:{(45,1),(46,1),(48,1),(84,1),(86,1)}
        67:{1,4,6}:{(46,1),(47,1),(49,1),(85,1),(86,1),(87,1)}
        68:{2,4,5}:{(47,1),(50,1),(87,1),(88,1),(91,1),(123,1),(142,1)}
        69:{1,3,7}:{(48,1),(49,1),(86,1),(89,1),(120,1)}
        70:{2,6}:{(49,1),(50,1),(89,1)}
        71:{2,3,5}:{(50,1),(51,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{1,2,7}:{(52,1),(60,1),(89,1),(92,1)}
        73:{1,3,6}:{(52,1),(53,1),(61,1),(90,1),(92,1),(93,1)}
        74:{1,4}:{(53,1),(62,1),(91,1)}
        75:{2,6,7}:{(54,1),(55,1),(94,1),(144,1)}
        76:{1,5,7}:{(55,1),(56,1),(57,1),(94,1),(95,1)}
        77:{2,5,6}:{(56,1),(58,1),(95,1),(96,1),(100,1),(129,1)}
        78:{2,4,7}:{(57,1),(58,1),(60,1),(95,1),(97,1),(126,1)}
        79:{3,6}:{(58,1),(59,1),(97,1)}
        80:{3,4}:{(59,1),(62,1)}
        81:{2,3,7}:{(60,1),(61,1),(92,1),(97,1),(99,1)}
        82:{2,4,6}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(129,1)}
        83:{3,6,7}:{(63,1),(64,1),(101,1),(139,1)}
        84:{2,5,7}:{(64,1),(65,1),(66,1),(101,1),(102,1)}
        85:{1,5,6}:{(65,1),(67,1),(102,1),(103,1),(110,1),(136,1)}
        86:{1,4,7}:{(66,1),(67,1),(69,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(70,1),(103,1),(104,1),(105,1),(132,1)}
        88:{3,5}:{(68,1),(105,1),(106,1)}
        89:{2,7}:{(69,1),(70,1)}
        90:{2,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{2,4}:{(71,1),(74,1),(106,1)}
        92:{1,3,7}:{(72,1),(73,1),(81,1),(107,1),(109,1)}
        93:{1,4,6}:{(73,1),(74,1),(82,1),(108,1),(109,1),(110,1),(136,1)}
        94:{1,6,7}:{(75,1),(76,1),(111,1),(136,1)}
        95:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        96:{3,5,6}:{(77,1),(79,1),(112,1),(113,1),(115,1),(139,1),(150,1)}
        97:{3,7}:{(78,1),(79,1)}
        98:{3,4,6}:{(79,1),(80,1),(82,1),(113,1),(114,1),(115,1),(139,1)}
        99:{2,4,7}:{(81,1),(82,1),(109,1),(114,1),(116,1)}
       100:{2,5}:{(82,1),(110,1),(115,1)}
       101:{2,6,7}:{(83,1),(84,1),(117,1),(129,1)}
       102:{1,5,7}:{(84,1),(85,1),(86,1),(117,1),(118,1)}
       103:{2,5,6}:{(85,1),(87,1),(118,1),(119,1),(123,1),(144,1)}
       104:{2,4,7}:{(86,1),(87,1),(89,1),(118,1),(120,1),(141,1)}
       105:{3,6}:{(87,1),(88,1),(120,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{2,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(144,1)}
       109:{1,4,7}:{(92,1),(93,1),(99,1),(122,1),(124,1)}
       110:{1,5}:{(93,1),(100,1),(123,1)}
       111:{2,6,7}:{(94,1),(95,1),(125,1),(129,1)}
       112:{3,5,7}:{(95,1),(96,1),(97,1),(125,1),(126,1),(145,1)}
       113:{4,6}:{(96,1),(126,1),(127,1)}
       114:{3,4,7}:{(97,1),(98,1),(99,1),(126,1),(128,1)}
       115:{3,5}:{(98,1),(100,1),(127,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{1,6,7}:{(101,1),(102,1),(130,1),(136,1)}
       118:{2,5,7}:{(102,1),(103,1),(104,1),(130,1),(131,1)}
       119:{3,5,6}:{(103,1),(105,1),(131,1),(132,1),(134,1),(149,1),(153,1)}
       120:{3,7}:{(104,1),(105,1)}
       121:{3,4,6}:{(105,1),(106,1),(108,1),(132,1),(133,1),(134,1),(149,1)}
       122:{2,4,7}:{(107,1),(108,1),(109,1),(133,1),(135,1)}
       123:{2,5}:{(108,1),(110,1),(134,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{3,6,7}:{(111,1),(112,1),(137,1),(139,1)}
       126:{4,7}:{(112,1),(113,1)}
       127:{4,5}:{(113,1),(115,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(138,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{2,6,7}:{(117,1),(118,1),(140,1),(144,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1),(151,1)}
       132:{4,6}:{(119,1),(141,1),(142,1)}
       133:{3,4,7}:{(120,1),(121,1),(122,1),(141,1),(143,1)}
       134:{3,5}:{(121,1),(123,1),(142,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,6,7}:{(125,1),(126,1),(145,1),(146,1)}
       138:{4,5,7}:{(126,1),(127,1),(128,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(146,1)}
       140:{3,6,7}:{(130,1),(131,1),(147,1),(149,1)}
       141:{4,7}:{(131,1),(132,1)}
       142:{4,5}:{(132,1),(134,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{5,7}:{(137,1),(150,1)}
       146:{4,6}:{(138,1),(139,1),(150,1)}
       147:{4,6,7}:{(140,1),(141,1),(151,1),(152,1)}
       148:{4,5,7}:{(141,1),(142,1),(143,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{5,7}:{(147,1),(153,1)}
       152:{4,6}:{(148,1),(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 919 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 920 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 921 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 922 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 923 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(20,1),(50,1),(118,1),(131,1),(132,1),(134,1),(135,1),(197,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(28,1),(35,1),(75,1),(80,1),(82,1),(83,1),(86,1),(143,1),(159,1),(161,1),(170,1),(172,1),(221,1),(231,1),(269,1),(280,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(8,1),(9,1),(25,1),(35,1),(40,1),(82,1),(93,1),(96,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(36,1),(98,1),(99,1),(157,1),(174,1),(229,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(119,1),(197,1),(198,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(49,1),(56,1),(62,1),(112,1),(136,1),(181,1),(195,1),(248,1),(296,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(197,1),(206,1),(208,1),(258,1)}
         7:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(60,1),(66,1),(134,1),(135,1),(139,1),(208,1)}
         8:{1,4,5,7}:{(2,1),(17,1),(21,1),(48,1),(67,1),(121,1),(131,1),(134,1)}
         9:{2,4,6}:{(2,1),(3,1),(18,1),(21,1),(22,1),(62,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(50,1),(70,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(86,1),(166,1),(231,1),(238,1),(273,1)}
        12:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(39,1),(78,1),(86,1),(94,1),(151,1),(172,1),(214,1),(269,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(29,1),(30,1),(35,1),(82,1),(90,1),(143,1),(146,1),(169,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(174,1),(229,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(28,1),(31,1),(42,1),(82,1),(97,1),(154,1),(156,1),(161,1),(217,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(96,1),(146,1),(166,1),(235,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(8,1),(32,1),(35,1),(36,1),(92,1),(280,1)}
        18:{2,3,6}:{(6,1),(9,1),(36,1),(174,1),(229,1),(279,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(34,1),(39,1),(40,1),(94,1),(96,1),(172,1)}
        20:{1,3,5,7}:{(7,1),(10,1),(40,1),(41,1),(103,1)}
        21:{1,4,6}:{(8,1),(9,1),(36,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(40,1),(42,1),(82,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(98,1),(157,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(111,1),(118,1),(186,1),(187,1),(197,1),(246,1),(247,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(13,1),(48,1),(49,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(14,1),(49,1),(50,1),(56,1),(128,1)}
        27:{1,3,6,7}:{(12,1),(14,1),(51,1),(52,1),(208,1),(288,1),(296,1)}
        28:{1,2,5,7}:{(12,1),(15,1),(52,1),(67,1),(117,1),(133,1),(190,1),(245,1),(299,1)}
        29:{1,3,5,7}:{(13,1),(48,1),(53,1),(54,1),(119,1),(121,1),(198,1)}
        30:{2,3,6}:{(13,1),(14,1),(49,1),(54,1),(62,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(50,1),(52,1),(55,1),(56,1),(198,1),(261,1),(264,1),(296,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(48,1),(57,1),(58,1),(119,1),(134,1),(208,1),(263,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(49,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(210,1),(250,1),(265,1)}
        34:{2,3,6,7}:{(18,1),(19,1),(60,1),(61,1),(139,1),(208,1),(212,1)}
        35:{2,5,7}:{(17,1),(57,1),(62,1),(130,1)}
        36:{1,3,6}:{(17,1),(18,1),(21,1),(62,1),(296,1)}
        37:{2,3,5,6}:{(18,1),(22,1),(59,1),(61,1),(63,1),(64,1),(70,1),(141,1),(210,1)}
        38:{1,3,5,6,7}:{(20,1),(65,1),(66,1),(115,1),(139,1)}
        39:{1,4,6,7}:{(19,1),(21,1),(60,1),(67,1),(134,1)}
        40:{2,5,7}:{(19,1),(20,1),(22,1),(67,1)}
        41:{1,4,5,7}:{(20,1),(23,1),(66,1),(68,1),(134,1),(213,1)}
        42:{1,5,6}:{(21,1),(22,1),(67,1),(121,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(64,1),(68,1),(69,1),(70,1),(122,1),(136,1),(141,1),(195,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(166,1),(216,1),(235,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(75,1),(76,1),(82,1),(143,1),(149,1),(152,1),(216,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(76,1),(77,1),(144,1),(157,1),(218,1),(219,1),(229,1),(271,1)}
        47:{1,3,4,6,7}:{(26,1),(27,1),(78,1),(79,1),(86,1),(157,1),(166,1),(229,1)}
        48:{1,4,7}:{(25,1),(29,1),(81,1),(231,1)}
        49:{2,4,6}:{(25,1),(26,1),(30,1),(81,1),(82,1)}
        50:{1,3,5}:{(26,1),(82,1),(83,1),(163,1)}
        51:{2,3,6,7}:{(27,1),(30,1),(78,1),(84,1),(85,1),(94,1),(214,1),(229,1),(279,1)}
        52:{1,3,5,7}:{(27,1),(28,1),(31,1),(85,1),(86,1),(280,1),(283,1)}
        53:{1,2,5,7}:{(29,1),(35,1),(80,1),(87,1),(143,1),(161,1),(280,1)}
        54:{1,3,6}:{(29,1),(30,1),(81,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(82,1),(85,1),(88,1),(89,1),(97,1),(156,1),(163,1),(169,1),(174,1),(217,1),(220,1),(229,1),(233,1),(236,1),(271,1),(279,1)}
        56:{1,4,6}:{(31,1),(83,1),(86,1),(89,1),(231,1)}
        57:{2,4,7}:{(32,1),(35,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(36,1),(81,1),(91,1),(92,1),(98,1),(160,1),(174,1),(231,1),(237,1),(238,1),(243,1),(285,1)}
        59:{2,3,5}:{(33,1),(82,1),(92,1),(93,1),(163,1),(233,1)}
        60:{1,3,6,7}:{(34,1),(36,1),(39,1),(94,1),(95,1),(244,1)}
        61:{2,3,5,7}:{(34,1),(37,1),(40,1),(95,1),(96,1),(103,1),(177,1),(241,1)}
        62:{2,6}:{(35,1),(36,1)}
        63:{1,3,5,6}:{(36,1),(37,1),(42,1),(92,1),(95,1),(97,1),(98,1),(174,1),(178,1),(243,1)}
        64:{2,4,6}:{(37,1),(93,1),(96,1),(98,1),(99,1)}
        65:{2,5,6,7}:{(38,1),(40,1),(100,1),(101,1),(156,1)}
        66:{1,4,6,7}:{(38,1),(41,1),(101,1),(157,1),(244,1)}
        67:{1,5,7}:{(39,1),(40,1),(42,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(96,1),(101,1),(102,1),(103,1),(172,1),(177,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(98,1),(102,1),(104,1),(162,1),(228,1)}
        70:{3,5,6}:{(43,1),(99,1),(103,1),(163,1),(174,1),(229,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(197,1),(251,1),(258,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(48,1),(105,1),(107,1),(108,1),(119,1),(246,1),(263,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(49,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(290,1),(292,1)}
        74:{1,3,4,6,7}:{(46,1),(110,1),(111,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        75:{1,4,5,7}:{(45,1),(48,1),(105,1),(112,1),(121,1),(186,1),(190,1),(246,1)}
        76:{2,4,6}:{(45,1),(46,1),(106,1),(112,1),(113,1),(181,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(111,1),(113,1),(114,1),(193,1)}
        78:{2,4,6,7}:{(47,1),(49,1),(51,1),(116,1),(117,1),(125,1),(195,1)}
        79:{1,3,5,7}:{(47,1),(50,1),(115,1),(117,1),(118,1),(197,1)}
        80:{1,2,4,7}:{(48,1),(53,1),(57,1),(107,1),(119,1),(120,1),(263,1),(299,1)}
        81:{1,4,6}:{(48,1),(49,1),(54,1),(121,1)}
        82:{2,5}:{(49,1),(50,1),(121,1)}
        83:{1,4,5}:{(50,1),(56,1),(122,1),(261,1)}
        84:{1,3,6,7}:{(51,1),(54,1),(116,1),(123,1),(124,1),(257,1)}
        85:{2,3,5,7}:{(51,1),(52,1),(55,1),(117,1),(124,1),(125,1),(133,1),(197,1),(208,1),(245,1),(258,1),(262,1),(288,1)}
        86:{1,4,7}:{(52,1),(56,1),(125,1)}
        87:{1,2,6}:{(53,1),(54,1),(62,1),(181,1),(296,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(121,1),(124,1),(126,1),(127,1),(194,1),(198,1),(200,1),(203,1),(257,1)}
        89:{2,4,6}:{(55,1),(56,1),(122,1),(125,1),(127,1),(128,1),(205,1),(250,1)}
        90:{2,3,7}:{(57,1),(119,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(62,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(121,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(62,1),(133,1)}
        95:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(133,1),(134,1),(208,1),(213,1),(267,1)}
        96:{2,4,7}:{(61,1),(64,1),(134,1),(135,1)}
        97:{2,5,6}:{(62,1),(63,1),(130,1),(133,1),(136,1),(268,1)}
        98:{1,4,6}:{(63,1),(64,1),(131,1),(134,1),(136,1)}
        99:{3,4,6}:{(64,1),(70,1),(132,1),(135,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(194,1)}
       101:{2,4,6,7}:{(65,1),(66,1),(68,1),(138,1),(139,1),(195,1),(212,1)}
       102:{1,4,5,7}:{(67,1),(68,1),(69,1),(134,1),(138,1),(140,1)}
       103:{3,5,7}:{(68,1),(70,1),(135,1),(139,1),(208,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(137,1),(140,1),(141,1),(200,1),(257,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(75,1),(143,1),(144,1),(148,1),(280,1)}
       106:{2,3,6}:{(71,1),(76,1),(144,1),(229,1),(271,1),(279,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(81,1),(144,1),(147,1),(148,1),(160,1),(218,1),(231,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(82,1),(148,1),(149,1),(163,1),(233,1)}
       110:{2,4,6,7}:{(74,1),(76,1),(142,1),(151,1),(152,1),(214,1),(216,1),(269,1)}
       111:{1,3,5,7}:{(74,1),(77,1),(152,1),(153,1),(226,1)}
       112:{1,4,6}:{(75,1),(76,1),(144,1),(154,1)}
       113:{2,5,6}:{(76,1),(77,1),(82,1),(152,1),(154,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(157,1),(218,1),(278,1)}
       115:{1,3,5,6}:{(79,1),(156,1),(157,1),(229,1)}
       116:{1,4,6,7}:{(78,1),(81,1),(84,1),(158,1),(165,1),(228,1)}
       117:{2,5,7}:{(78,1),(79,1),(82,1),(156,1),(158,1)}
       118:{1,4,5,7}:{(79,1),(83,1),(86,1),(157,1),(159,1),(280,1)}
       119:{1,3,7}:{(80,1),(90,1),(146,1),(160,1)}
       120:{1,2,4,6}:{(80,1),(81,1),(87,1),(91,1),(147,1),(160,1),(161,1),(231,1),(237,1),(284,1),(307,1)}
       121:{1,5}:{(81,1),(82,1)}
       122:{2,4,5}:{(82,1),(83,1),(89,1),(162,1),(163,1),(233,1)}
       123:{1,2,6,7}:{(84,1),(87,1),(94,1),(164,1),(214,1),(244,1),(279,1),(306,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(88,1),(158,1),(164,1),(165,1),(234,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(165,1),(166,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(97,1),(161,1),(164,1),(167,1),(178,1),(217,1),(233,1),(278,1),(279,1)}
       127:{1,4,6}:{(88,1),(89,1),(162,1),(165,1),(231,1)}
       128:{3,4,6}:{(89,1),(163,1),(166,1),(174,1),(229,1),(238,1),(271,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(160,1),(169,1),(174,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(98,1),(170,1),(231,1)}
       132:{3,4,5}:{(93,1),(99,1),(163,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(97,1),(172,1),(287,1)}
       134:{1,4,7}:{(95,1),(96,1),(98,1),(172,1)}
       135:{3,4,7}:{(96,1),(99,1),(103,1)}
       136:{2,4,6}:{(97,1),(98,1),(170,1),(172,1),(174,1)}
       137:{1,3,4,6}:{(98,1),(99,1),(104,1),(171,1),(173,1),(174,1),(175,1),(243,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(102,1),(176,1),(228,1)}
       139:{3,6,7}:{(101,1),(103,1),(229,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(104,1),(173,1),(176,1),(177,1)}
       141:{2,5,6}:{(104,1),(175,1),(177,1),(178,1),(233,1),(279,1)}
       142:{2,3,6,7}:{(106,1),(110,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(112,1),(181,1),(296,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(113,1),(180,1),(182,1),(183,1),(193,1),(256,1),(290,1)}
       146:{2,3,7}:{(107,1),(119,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(121,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,3,5,6,7}:{(111,1),(115,1),(188,1),(189,1),(254,1)}
       151:{1,4,6,7}:{(110,1),(112,1),(179,1),(190,1),(246,1)}
       152:{2,5,7}:{(110,1),(111,1),(113,1),(190,1)}
       153:{1,4,5,7}:{(111,1),(114,1),(189,1),(191,1),(246,1),(295,1)}
       154:{1,5,6}:{(112,1),(113,1),(121,1),(190,1)}
       155:{2,4,5,6}:{(113,1),(114,1),(122,1),(183,1),(191,1),(192,1),(193,1),(195,1),(248,1),(256,1)}
       156:{2,5,6}:{(115,1),(117,1),(194,1),(195,1)}
       157:{1,4,6}:{(115,1),(118,1),(195,1),(296,1)}
       158:{1,5,7}:{(116,1),(117,1),(121,1),(194,1)}
       159:{2,4,5,7}:{(117,1),(118,1),(122,1),(125,1),(195,1),(196,1),(197,1),(258,1)}
       160:{1,3,6}:{(119,1),(120,1),(129,1),(184,1),(198,1),(312,1)}
       161:{1,2,5}:{(120,1),(121,1),(130,1),(185,1),(198,1),(261,1)}
       162:{1,4,5}:{(121,1),(122,1),(127,1),(200,1)}
       163:{3,5}:{(122,1),(128,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(126,1),(133,1),(201,1),(213,1),(245,1),(258,1),(295,1)}
       165:{1,4,7}:{(124,1),(125,1),(127,1)}
       166:{3,4,7}:{(125,1),(128,1),(197,1),(208,1),(288,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(136,1),(199,1),(201,1),(203,1),(204,1),(211,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(200,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       169:{2,3,5}:{(129,1),(130,1),(198,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(136,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(137,1),(200,1),(206,1),(207,1),(259,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(136,1),(208,1)}
       173:{1,3,4,7}:{(134,1),(135,1),(137,1),(140,1),(208,1),(209,1),(267,1)}
       174:{3,6}:{(136,1),(206,1),(208,1)}
       175:{2,4,6}:{(137,1),(141,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(140,1),(212,1),(257,1)}
       177:{2,5,7}:{(140,1),(141,1),(209,1),(212,1),(213,1)}
       178:{1,5,6}:{(141,1),(211,1),(213,1),(261,1),(296,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(151,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(152,1),(215,1),(216,1),(226,1),(277,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(154,1),(215,1),(217,1),(218,1),(271,1),(278,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(160,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(231,1)}
       187:{3,4,5}:{(149,1),(163,1),(219,1),(238,1)}
       188:{2,5,6,7}:{(150,1),(152,1),(156,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(153,1),(157,1),(224,1),(306,1)}
       190:{1,5,7}:{(151,1),(152,1),(154,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(216,1),(224,1),(225,1),(226,1),(269,1),(277,1)}
       192:{1,4,5,6}:{(154,1),(155,1),(162,1),(218,1),(225,1),(227,1),(228,1)}
       193:{3,5,6}:{(155,1),(163,1),(219,1),(226,1),(229,1),(271,1)}
       194:{1,5,6}:{(156,1),(158,1),(228,1)}
       195:{2,4,6}:{(156,1),(157,1),(159,1),(228,1),(229,1),(279,1)}
       196:{1,4,5,7}:{(158,1),(159,1),(162,1),(165,1),(228,1),(230,1)}
       197:{3,5,7}:{(159,1),(163,1),(166,1),(229,1)}
       198:{1,3,5}:{(160,1),(161,1),(169,1),(220,1),(231,1)}
       199:{1,2,4,5}:{(161,1),(162,1),(167,1),(170,1),(221,1),(231,1),(232,1),(233,1),(240,1),(275,1),(281,1),(286,1),(305,1),(307,1)}
       200:{1,3,5}:{(162,1),(163,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(167,1),(172,1),(234,1),(235,1),(242,1),(269,1),(287,1),(302,1),(313,1)}
       202:{1,3,4,7}:{(165,1),(166,1),(168,1),(230,1),(234,1),(235,1)}
       203:{1,3,6}:{(167,1),(174,1),(232,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(233,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(231,1),(238,1)}
       206:{3,5}:{(170,1),(174,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(233,1),(239,1),(240,1),(281,1),(286,1)}
       208:{3,7}:{(172,1),(174,1)}
       209:{2,4,7}:{(173,1),(175,1),(177,1),(241,1),(242,1),(287,1)}
       210:{2,3,6}:{(174,1),(175,1),(239,1),(241,1),(243,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(279,1)}
       213:{1,5,7}:{(177,1),(178,1),(242,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(190,1),(245,1),(246,1),(288,1),(295,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(193,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(198,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(200,1),(249,1),(251,1),(252,1),(259,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(194,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(195,1),(253,1),(254,1),(294,1)}
       225:{1,4,5,7}:{(190,1),(191,1),(192,1),(246,1),(253,1),(255,1)}
       226:{3,5,7}:{(191,1),(193,1),(247,1),(254,1),(288,1)}
       227:{1,3,5,6}:{(192,1),(193,1),(200,1),(249,1),(255,1),(256,1),(257,1)}
       228:{1,4,6}:{(194,1),(195,1),(196,1),(257,1)}
       229:{3,6}:{(195,1),(197,1)}
       230:{1,3,5,7}:{(196,1),(197,1),(200,1),(202,1),(257,1),(258,1)}
       231:{1,4}:{(198,1),(205,1),(250,1)}
       232:{1,3,5}:{(199,1),(203,1),(206,1),(251,1),(259,1),(260,1),(312,1)}
       233:{2,5}:{(200,1),(204,1),(261,1)}
       234:{1,3,7}:{(201,1),(203,1),(208,1),(262,1),(288,1)}
       235:{2,4,7}:{(202,1),(204,1),(258,1),(262,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(260,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(297,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(210,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(297,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,4,7}:{(209,1),(211,1),(213,1),(267,1)}
       243:{1,3,6}:{(210,1),(211,1),(266,1),(267,1),(268,1)}
       244:{1,6,7}:{(212,1),(213,1),(296,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(226,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(227,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(231,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(233,1),(272,1),(274,1),(275,1),(281,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(228,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(229,1)}
       255:{1,3,5,7}:{(225,1),(226,1),(227,1),(270,1),(276,1),(277,1)}
       256:{2,5,6}:{(227,1),(233,1),(272,1),(277,1),(278,1),(279,1)}
       257:{1,3,6}:{(228,1),(229,1),(230,1),(279,1)}
       258:{2,5,7}:{(230,1),(233,1),(235,1),(279,1),(280,1)}
       259:{1,3,4}:{(231,1),(232,1),(238,1),(273,1),(281,1)}
       260:{2,3,5}:{(232,1),(233,1),(236,1),(281,1),(282,1),(286,1),(305,1),(308,1),(314,1)}
       261:{1,5}:{(233,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,4,7}:{(235,1),(237,1),(280,1),(283,1)}
       264:{1,3,6}:{(236,1),(237,1),(282,1),(283,1),(284,1)}
       265:{2,3,4}:{(238,1),(239,1),(281,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(243,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(243,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(255,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(256,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(297,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(257,1),(294,1)}
       277:{2,5,7}:{(255,1),(256,1),(289,1),(294,1),(295,1)}
       278:{1,5,6}:{(256,1),(261,1),(291,1),(295,1),(296,1)}
       279:{2,6}:{(257,1),(258,1),(296,1)}
       280:{1,5,7}:{(258,1),(261,1),(263,1),(296,1)}
       281:{2,4}:{(259,1),(260,1),(297,1)}
       282:{1,3,5}:{(260,1),(261,1),(264,1),(297,1),(298,1),(312,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(264,1),(268,1),(298,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(297,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(277,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(281,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(279,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(302,1),(306,1)}
       296:{1,6}:{(279,1),(280,1)}
       297:{1,4}:{(281,1),(282,1)}
       298:{1,2,5}:{(282,1),(284,1),(286,1),(305,1),(307,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(295,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(297,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(296,1)}
       307:{1,2,4}:{(297,1),(298,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

 924 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

 925 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 926 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 927 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(5,1),(6,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(75,1),(122,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(11,1)}
         4:{4,5,6,7}:{(12,1),(123,1)}
         5:{3,4,6,7}:{(1,1),(12,1),(13,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(92,1),(116,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(15,1),(60,1),(118,1)}
         8:{2,3,4,5}:{(9,1),(16,1),(67,1),(93,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(17,1),(18,1),(69,1),(75,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(19,1),(20,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(20,1),(21,1),(25,1)}
        12:{3,5,6,7}:{(4,1),(5,1),(22,1),(120,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(20,1),(23,1),(24,1),(77,1),(108,1)}
        15:{2,4,5,6}:{(7,1),(21,1),(24,1),(25,1),(46,1),(110,1),(111,1)}
        16:{1,3,4,5}:{(8,1),(18,1),(26,1),(50,1),(51,1),(78,1)}
        17:{2,3,4,7}:{(9,1),(10,1),(27,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(11,1),(16,1),(27,1),(28,1),(36,1),(54,1),(60,1)}
        19:{2,3,6,7}:{(10,1),(13,1),(30,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(35,1)}
        21:{2,5,6}:{(11,1),(28,1),(31,1)}
        22:{2,5,6,7}:{(12,1),(13,1),(33,1),(116,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(30,1),(33,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(15,1),(31,1),(34,1),(35,1),(62,1),(96,1),(98,1)}
        25:{3,5,6}:{(15,1),(35,1),(36,1)}
        26:{2,4,5}:{(16,1),(28,1),(38,1)}
        27:{1,3,4,7}:{(17,1),(18,1),(20,1),(40,1),(49,1),(70,1),(77,1)}
        28:{2,4,6}:{(18,1),(21,1),(26,1),(40,1),(41,1)}
        29:{1,2,5,6}:{(21,1),(39,1),(42,1),(43,1),(101,1),(119,1)}
        30:{1,3,6,7}:{(19,1),(20,1),(23,1),(44,1),(48,1)}
        31:{2,5,7}:{(20,1),(21,1),(40,1),(44,1)}
        32:{2,3,5,6}:{(21,1),(25,1),(41,1),(43,1),(45,1),(46,1),(73,1),(103,1),(110,1)}
        33:{1,5,6,7}:{(22,1),(23,1),(47,1),(108,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(44,1),(47,1),(48,1),(81,1)}
        35:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        36:{3,4,6}:{(25,1),(46,1),(49,1),(50,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(78,1),(84,1),(101,1)}
        38:{2,3,5}:{(26,1),(41,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(28,1),(29,1),(37,1),(53,1),(54,1),(60,1),(86,1)}
        40:{2,4,7}:{(27,1),(28,1),(31,1),(55,1)}
        41:{2,3,6}:{(28,1),(38,1),(54,1),(55,1)}
        42:{1,2,5,7}:{(29,1),(31,1),(53,1),(58,1),(59,1),(112,1)}
        43:{1,3,5,6}:{(29,1),(32,1),(54,1),(57,1),(59,1),(60,1),(88,1),(113,1),(118,1)}
        44:{2,6,7}:{(30,1),(31,1)}
        45:{2,3,5,7}:{(31,1),(32,1),(35,1),(55,1),(59,1),(61,1),(62,1),(96,1)}
        46:{2,4,6}:{(32,1),(36,1),(60,1),(62,1),(63,1)}
        47:{2,5,6,7}:{(33,1),(34,1),(64,1),(96,1)}
        48:{3,6,7}:{(34,1),(35,1)}
        49:{3,4,7}:{(35,1),(36,1),(62,1)}
        50:{3,4,5}:{(36,1),(63,1)}
        51:{1,3,5}:{(37,1),(38,1),(54,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(42,1),(70,1),(77,1),(100,1)}
        54:{1,3,6}:{(39,1),(41,1),(51,1),(69,1),(70,1)}
        55:{2,3,7}:{(40,1),(41,1),(70,1)}
        56:{2,3,4,6}:{(41,1),(46,1),(52,1),(71,1),(72,1),(73,1),(103,1)}
        57:{2,3,5,6}:{(43,1),(69,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        58:{1,2,6,7}:{(42,1),(44,1),(76,1),(119,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(70,1),(74,1),(76,1),(77,1),(108,1)}
        60:{1,4,6}:{(43,1),(46,1),(75,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(79,1),(103,1)}
        62:{2,4,7}:{(45,1),(46,1),(49,1),(77,1)}
        63:{2,4,5}:{(46,1),(50,1),(73,1),(78,1)}
        64:{3,5,6,7}:{(47,1),(48,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(79,1),(81,1),(82,1),(83,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(101,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(54,1),(67,1),(85,1),(86,1)}
        70:{1,3,7}:{(53,1),(54,1),(55,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(60,1),(68,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        72:{2,3,4,7}:{(55,1),(56,1),(62,1),(87,1),(89,1)}
        73:{2,3,5}:{(56,1),(63,1),(88,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        75:{2,4,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        76:{1,3,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(113,1)}
        77:{1,4,7}:{(59,1),(60,1),(62,1),(92,1)}
        78:{1,4,5}:{(60,1),(63,1),(88,1),(93,1)}
        79:{2,4,6,7}:{(61,1),(62,1),(65,1),(94,1),(96,1),(97,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(66,1),(89,1),(95,1),(96,1),(97,1)}
        81:{4,6,7}:{(64,1),(98,1)}
        82:{3,5,7}:{(65,1),(96,1),(98,1),(99,1)}
        83:{3,4,6}:{(66,1),(97,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,3,7}:{(69,1),(70,1),(100,1)}
        86:{2,4,6}:{(69,1),(71,1),(84,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(70,1),(71,1),(72,1),(77,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(71,1),(73,1),(78,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(74,1),(76,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(104,1)}
        93:{2,4,5}:{(75,1),(78,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(79,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(79,1),(82,1),(108,1),(110,1)}
        97:{2,4,6}:{(80,1),(83,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(81,1),(82,1),(111,1)}
        99:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 928 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(101,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(105,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(86,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(91,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(16,1),(17,1),(97,1),(101,1)}
        10:{2,3,6,7}:{(6,1),(16,1),(18,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(17,1),(18,1),(19,1)}
        12:{2,5,6,7}:{(7,1),(19,1),(20,1),(70,1)}
        13:{2,3,5,6}:{(8,1),(16,1),(21,1),(22,1)}
        14:{1,4,5,6}:{(8,1),(17,1),(22,1),(23,1),(75,1),(102,1)}
        15:{2,3,4,5}:{(21,1),(24,1),(77,1),(106,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(13,1),(25,1),(26,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(14,1),(26,1),(27,1),(82,1),(86,1)}
        18:{1,3,6,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(30,1)}
        20:{3,5,6,7}:{(12,1),(29,1),(30,1),(54,1)}
        21:{2,3,4,6}:{(13,1),(15,1),(25,1),(31,1),(88,1),(91,1)}
        22:{1,3,5,6}:{(13,1),(14,1),(26,1),(31,1),(32,1),(33,1)}
        23:{2,4,5,6}:{(14,1),(27,1),(32,1),(33,1),(55,1),(59,1),(87,1)}
        24:{1,3,4,5}:{(15,1),(31,1),(34,1),(60,1),(61,1),(92,1)}
        25:{2,3,4,7}:{(16,1),(21,1),(35,1),(94,1),(97,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(18,1),(22,1),(35,1),(36,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(19,1),(23,1),(36,1),(37,1),(41,1),(66,1),(70,1)}
        28:{2,6,7}:{(18,1),(36,1)}
        29:{3,6,7}:{(19,1),(37,1)}
        30:{4,6,7}:{(20,1),(41,1)}
        31:{1,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(42,1),(45,1),(72,1),(75,1)}
        32:{2,5,6}:{(22,1),(36,1),(42,1)}
        33:{3,5,6}:{(23,1),(37,1),(45,1)}
        34:{2,4,5}:{(24,1),(42,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(31,1),(48,1),(51,1),(79,1),(82,1)}
        36:{2,5,7}:{(26,1),(28,1),(32,1),(48,1)}
        37:{3,5,7}:{(27,1),(29,1),(33,1),(51,1)}
        38:{1,2,6,7}:{(28,1),(49,1),(52,1),(123,1)}
        39:{2,3,6,7}:{(28,1),(29,1),(50,1),(52,1),(53,1),(109,1)}
        40:{3,4,6,7}:{(29,1),(30,1),(51,1),(53,1),(54,1),(84,1)}
        41:{4,5,7}:{(30,1),(54,1),(55,1)}
        42:{2,4,6}:{(31,1),(32,1),(34,1),(48,1),(57,1)}
        43:{1,2,5,6}:{(32,1),(49,1),(56,1),(58,1),(115,1),(123,1)}
        44:{2,3,5,6}:{(32,1),(33,1),(50,1),(57,1),(58,1),(59,1),(87,1),(90,1),(109,1)}
        45:{3,4,6}:{(33,1),(51,1),(59,1),(60,1)}
        46:{1,2,4,5}:{(34,1),(56,1),(61,1),(92,1),(93,1),(115,1)}
        47:{2,3,5}:{(34,1),(57,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(42,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(43,1),(63,1),(65,1),(117,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(44,1),(64,1),(65,1),(66,1),(70,1)}
        51:{3,4,7}:{(37,1),(45,1),(66,1)}
        52:{1,3,6,7}:{(38,1),(39,1),(65,1),(68,1),(69,1),(118,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(66,1),(69,1),(70,1),(99,1)}
        54:{3,5,7}:{(40,1),(41,1),(70,1),(71,1)}
        55:{4,5,6}:{(41,1),(71,1)}
        56:{1,2,4,6}:{(42,1),(43,1),(46,1),(63,1),(72,1),(75,1),(103,1)}
        57:{2,3,6}:{(42,1),(47,1),(64,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(65,1),(72,1),(74,1),(75,1),(102,1),(104,1),(118,1)}
        59:{2,4,6}:{(44,1),(45,1),(66,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,5}:{(46,1),(47,1),(72,1),(77,1),(78,1)}
        62:{2,3,4}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(56,1),(79,1),(82,1),(107,1)}
        64:{2,3,7}:{(48,1),(57,1),(79,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(86,1)}
        66:{2,4,7}:{(50,1),(51,1),(59,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(60,1),(83,1),(84,1)}
        68:{2,3,6,7}:{(52,1),(81,1),(85,1),(123,1),(124,1)}
        69:{1,4,6,7}:{(52,1),(53,1),(82,1),(85,1),(86,1),(112,1)}
        70:{2,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        71:{3,5,6}:{(54,1),(55,1),(84,1),(87,1)}
        72:{1,3,6}:{(56,1),(57,1),(61,1),(79,1),(88,1)}
        73:{2,3,4,6}:{(57,1),(59,1),(62,1),(80,1),(89,1),(90,1),(109,1)}
        74:{2,3,5,6}:{(58,1),(81,1),(88,1),(91,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        75:{1,4,6}:{(58,1),(59,1),(82,1),(91,1),(92,1)}
        76:{2,4,5}:{(59,1),(60,1),(90,1),(92,1)}
        77:{2,3,5}:{(61,1),(88,1),(93,1),(115,1)}
        78:{1,3,4}:{(61,1),(62,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(72,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(73,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(74,1),(94,1),(97,1),(101,1),(117,1),(119,1)}
        82:{1,4,7}:{(65,1),(66,1),(75,1),(97,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(76,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(67,1),(71,1),(99,1)}
        85:{2,4,6,7}:{(68,1),(69,1),(97,1),(100,1),(101,1),(120,1)}
        86:{1,5,7}:{(69,1),(70,1),(101,1),(102,1)}
        87:{2,5,6}:{(70,1),(71,1),(99,1),(102,1)}
        88:{2,3,6}:{(72,1),(77,1),(94,1),(103,1)}
        89:{1,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(95,1),(103,1),(104,1),(105,1),(118,1)}
        90:{2,3,5}:{(73,1),(76,1),(104,1)}
        91:{2,4,6}:{(74,1),(75,1),(97,1),(105,1),(106,1)}
        92:{1,4,5}:{(75,1),(76,1),(104,1),(106,1)}
        93:{2,4}:{(77,1),(78,1)}
        94:{2,3,7}:{(79,1),(88,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(89,1),(107,1),(108,1),(110,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(90,1),(108,1),(109,1)}
        97:{2,4,7}:{(81,1),(82,1),(91,1),(110,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(86,1),(92,1),(108,1),(111,1),(112,1)}
        99:{2,4,6}:{(83,1),(84,1),(87,1),(109,1),(112,1)}
       100:{3,4,6,7}:{(85,1),(110,1),(113,1),(124,1),(125,1)}
       101:{2,5,7}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,5,6}:{(86,1),(87,1),(112,1),(114,1)}
       103:{2,4,6}:{(88,1),(89,1),(93,1),(107,1),(115,1),(123,1)}
       104:{1,3,5}:{(89,1),(90,1),(92,1),(115,1),(116,1)}
       105:{3,4,6}:{(91,1),(110,1),(116,1),(124,1)}
       106:{2,4,5}:{(91,1),(92,1),(115,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(103,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(104,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(99,1),(118,1)}
       110:{3,4,7}:{(97,1),(105,1),(119,1)}
       111:{2,4,5,7}:{(97,1),(98,1),(101,1),(106,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(98,1),(99,1),(102,1),(118,1),(120,1)}
       113:{3,5,7}:{(100,1),(101,1),(121,1),(122,1)}
       114:{2,5,6}:{(101,1),(102,1),(120,1),(122,1)}
       115:{2,5}:{(103,1),(104,1)}
       116:{3,5}:{(105,1),(106,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

 929 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(16,1),(25,1),(54,1),(145,1),(174,1),(181,1),(254,1),(266,1),(273,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(37,1),(48,1),(106,1),(117,1),(125,1),(219,1),(235,1),(241,1),(242,1),(332,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(313,1),(326,1),(329,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(40,1),(95,1),(204,1),(236,1),(316,1),(333,1)}
         4:{2,3,4,6}:{(11,1),(12,1),(13,1),(18,1),(52,1),(61,1),(78,1),(171,1),(183,1),(257,1),(264,1),(273,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(25,1),(68,1),(86,1),(165,1),(174,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(78,1),(82,1),(298,1),(301,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(80,1),(279,1),(302,1),(382,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(64,1),(74,1),(160,1),(175,1),(182,1),(299,1),(387,1)}
         9:{2,4,5}:{(2,1),(16,1),(21,1),(23,1),(145,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(370,1),(383,1)}
        11:{1,3,4,6}:{(4,1),(27,1),(28,1),(29,1),(32,1),(89,1),(100,1),(106,1),(195,1),(203,1),(219,1),(318,1),(324,1),(325,1),(332,1)}
        12:{2,3,5}:{(4,1),(28,1),(30,1),(230,1),(243,1),(329,1)}
        13:{2,3,4,7}:{(4,1),(29,1),(31,1),(43,1),(92,1),(126,1),(233,1),(319,1),(333,1)}
        14:{1,2,4,6}:{(6,1),(27,1),(32,1),(33,1),(34,1),(106,1),(109,1),(219,1),(332,1),(335,1),(337,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(36,1),(37,1),(38,1),(48,1),(117,1),(132,1),(225,1),(235,1),(245,1)}
        16:{2,4,6}:{(5,1),(9,1),(37,1),(39,1),(40,1)}
        17:{2,3,5,7}:{(5,1),(38,1),(40,1),(41,1),(113,1),(124,1),(226,1),(236,1)}
        18:{2,3,6}:{(6,1),(32,1),(42,1),(43,1),(117,1),(357,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(43,1),(45,1),(355,1)}
        21:{1,4,5}:{(7,1),(9,1),(37,1),(44,1),(106,1),(358,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(45,1),(47,1),(48,1),(129,1),(429,1)}
        23:{3,4,5}:{(9,1),(39,1),(203,1),(313,1),(549,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(40,1),(47,1),(49,1),(50,1),(124,1),(204,1),(326,1)}
        25:{2,3,6}:{(10,1),(48,1),(50,1),(419,1),(430,1)}
        26:{2,3,5,6}:{(12,1),(51,1),(52,1),(53,1),(61,1),(135,1),(153,1),(248,1),(257,1)}
        27:{2,4,6}:{(11,1),(54,1),(55,1),(56,1),(145,1),(149,1),(376,1),(379,1)}
        28:{1,3,5}:{(11,1),(12,1),(55,1),(57,1),(147,1),(279,1),(380,1),(382,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(56,1),(58,1),(64,1),(141,1),(160,1),(258,1),(265,1),(377,1),(387,1)}
        30:{2,4,5}:{(12,1),(52,1),(57,1),(59,1),(78,1)}
        31:{2,3,5,7}:{(12,1),(13,1),(58,1),(60,1),(61,1),(292,1),(383,1)}
        32:{1,3,6}:{(14,1),(18,1),(54,1),(63,1),(64,1),(389,1)}
        33:{1,2,5}:{(14,1),(19,1),(55,1),(63,1),(279,1),(382,1)}
        34:{1,2,4,7}:{(14,1),(20,1),(56,1),(64,1),(66,1),(160,1),(387,1),(388,1)}
        35:{2,4,5,6}:{(16,1),(67,1),(68,1),(69,1),(86,1),(165,1),(187,1),(253,1),(371,1),(393,1),(521,1),(544,1)}
        36:{2,5,6}:{(15,1),(19,1),(71,1),(72,1),(82,1),(298,1)}
        37:{1,4,6}:{(15,1),(16,1),(21,1),(71,1),(74,1),(303,1)}
        38:{1,3,5,7}:{(15,1),(17,1),(72,1),(74,1),(75,1),(175,1),(179,1),(288,1),(299,1),(300,1)}
        39:{3,4,6}:{(16,1),(23,1),(68,1),(76,1),(544,1)}
        40:{2,4,7}:{(16,1),(17,1),(74,1),(76,1)}
        41:{2,3,6,7}:{(17,1),(25,1),(75,1),(77,1),(168,1),(289,1)}
        42:{2,3,5}:{(18,1),(19,1),(63,1),(78,1),(80,1)}
        43:{2,3,7}:{(18,1),(20,1),(64,1),(175,1)}
        44:{2,4,5}:{(19,1),(21,1),(71,1),(78,1),(80,1)}
        45:{2,5,7}:{(19,1),(20,1),(22,1),(82,1)}
        46:{1,3,4,5}:{(21,1),(23,1),(73,1),(80,1),(83,1),(159,1),(184,1),(271,1),(281,1),(390,1),(469,1)}
        47:{1,4,5,7}:{(21,1),(22,1),(24,1),(74,1),(81,1),(84,1),(160,1),(179,1),(279,1)}
        48:{1,3,6}:{(22,1),(25,1),(82,1),(84,1),(185,1),(467,1)}
        49:{3,4,5,7}:{(23,1),(24,1),(76,1),(85,1),(180,1),(265,1),(370,1),(380,1),(464,1)}
        50:{2,4,6}:{(24,1),(25,1),(84,1),(85,1),(86,1)}
        51:{1,3,5,6}:{(26,1),(28,1),(88,1),(89,1),(90,1),(100,1),(195,1),(210,1),(308,1),(318,1),(328,1)}
        52:{2,4,6}:{(26,1),(30,1),(89,1),(91,1),(92,1)}
        53:{2,3,5,7}:{(26,1),(90,1),(92,1),(93,1),(191,1),(202,1),(309,1),(319,1)}
        54:{2,3,6}:{(27,1),(32,1),(94,1),(95,1),(195,1),(426,1)}
        55:{2,5}:{(27,1),(28,1)}
        56:{2,4,7}:{(27,1),(29,1),(95,1),(97,1),(424,1)}
        57:{1,4,5}:{(28,1),(30,1),(89,1),(96,1),(106,1),(427,1)}
        58:{1,3,5,7}:{(28,1),(29,1),(31,1),(97,1),(99,1),(100,1),(207,1),(429,1)}
        59:{3,4,5}:{(30,1),(91,1),(125,1),(230,1),(552,1)}
        60:{2,4,5,7}:{(30,1),(31,1),(92,1),(99,1),(101,1),(102,1),(126,1),(202,1),(243,1)}
        61:{2,3,6}:{(31,1),(100,1),(102,1),(350,1),(430,1)}
        62:{1,2,5,6}:{(33,1),(36,1),(88,1),(103,1),(104,1),(105,1),(109,1),(225,1),(308,1),(329,1),(335,1),(343,1),(412,1),(428,1),(430,1),(497,1)}
        63:{1,3,5}:{(32,1),(33,1),(42,1),(94,1),(106,1)}
        64:{1,3,7}:{(32,1),(34,1),(43,1),(95,1)}
        65:{1,2,4,5}:{(33,1),(44,1),(96,1),(104,1),(106,1),(108,1),(131,1),(209,1),(212,1),(218,1),(244,1),(327,1),(329,1),(337,1),(428,1),(433,1),(480,1),(495,1)}
        66:{1,2,5,7}:{(33,1),(34,1),(45,1),(97,1),(107,1),(109,1),(429,1)}
        67:{1,4,5,6}:{(35,1),(37,1),(110,1),(111,1),(112,1),(132,1),(212,1),(225,1),(331,1),(340,1),(501,1)}
        68:{3,5,6}:{(35,1),(39,1),(113,1),(313,1),(419,1),(437,1)}
        69:{2,4,5,7}:{(35,1),(40,1),(112,1),(113,1),(114,1),(124,1),(226,1),(240,1),(438,1),(503,1),(535,1)}
        70:{2,3,5,6}:{(36,1),(42,1),(103,1),(115,1),(116,1),(117,1),(127,1),(216,1),(230,1),(243,1),(245,1),(329,1),(350,1),(351,1),(412,1),(430,1),(484,1),(490,1),(531,1),(546,1),(548,1)}
        71:{2,4,6}:{(36,1),(37,1),(44,1),(117,1),(118,1)}
        72:{2,5,7}:{(36,1),(38,1),(118,1),(119,1),(355,1)}
        73:{1,3,4,6}:{(37,1),(39,1),(46,1),(111,1),(117,1),(120,1),(121,1),(221,1),(235,1),(340,1),(437,1)}
        74:{1,4,7}:{(37,1),(38,1),(40,1),(118,1),(356,1)}
        75:{1,3,6,7}:{(38,1),(41,1),(48,1),(119,1),(122,1),(237,1),(347,1)}
        76:{3,4,7}:{(39,1),(40,1),(113,1),(535,1)}
        77:{2,4,6,7}:{(40,1),(41,1),(50,1),(122,1),(123,1),(124,1)}
        78:{2,4}:{(42,1),(106,1),(125,1)}
        79:{2,3,5,7}:{(42,1),(43,1),(45,1),(107,1),(126,1),(127,1),(129,1),(243,1)}
        80:{3,5}:{(44,1),(117,1),(125,1)}
        81:{2,4,5,7}:{(44,1),(45,1),(47,1),(118,1),(126,1),(129,1),(130,1),(238,1),(243,1),(356,1),(358,1)}
        82:{2,6}:{(45,1),(48,1)}
        83:{2,4,5}:{(46,1),(120,1),(128,1),(131,1),(218,1),(244,1),(329,1)}
        84:{1,4,6}:{(47,1),(48,1),(50,1),(130,1),(132,1)}
        85:{3,4,6}:{(49,1),(50,1),(133,1),(419,1),(493,1)}
        86:{2,5,6}:{(50,1),(124,1),(132,1),(133,1),(326,1)}
        87:{2,4,5,6}:{(52,1),(134,1),(135,1),(136,1),(153,1),(170,1),(248,1),(270,1),(293,1),(451,1),(539,1),(551,1)}
        88:{2,5,6}:{(51,1),(55,1),(138,1),(139,1),(149,1),(376,1)}
        89:{1,4,6}:{(51,1),(52,1),(57,1),(138,1),(141,1),(381,1)}
        90:{1,3,5,7}:{(51,1),(53,1),(139,1),(141,1),(142,1),(258,1),(262,1),(366,1),(377,1),(378,1)}
        91:{3,4,6}:{(52,1),(59,1),(135,1),(143,1),(551,1)}
        92:{2,4,7}:{(52,1),(53,1),(141,1),(143,1)}
        93:{2,3,6,7}:{(53,1),(61,1),(142,1),(144,1),(251,1),(367,1)}
        94:{2,3,5}:{(54,1),(55,1),(63,1),(145,1),(147,1)}
        95:{2,3,7}:{(54,1),(56,1),(64,1),(258,1)}
        96:{2,4,5}:{(55,1),(57,1),(138,1),(145,1),(147,1)}
        97:{2,5,7}:{(55,1),(56,1),(58,1),(149,1)}
        98:{1,3,4,5}:{(57,1),(59,1),(140,1),(147,1),(150,1),(159,1),(267,1),(271,1),(359,1),(448,1),(506,1)}
        99:{1,4,5,7}:{(57,1),(58,1),(60,1),(141,1),(148,1),(151,1),(160,1),(262,1),(279,1)}
       100:{1,3,6}:{(58,1),(61,1),(149,1),(151,1),(268,1),(467,1)}
       101:{3,4,5,7}:{(59,1),(60,1),(143,1),(152,1),(182,1),(263,1),(292,1),(302,1),(406,1)}
       102:{2,4,6}:{(60,1),(61,1),(151,1),(152,1),(153,1)}
       103:{1,3,5,6}:{(62,1),(63,1),(70,1),(137,1),(154,1),(155,1),(156,1),(161,1),(271,1),(276,1),(279,1),(382,1),(384,1),(385,1),(465,1),(467,1),(518,1),(542,1)}
       104:{1,2,4,6}:{(62,1),(65,1),(71,1),(138,1),(154,1),(156,1),(157,1),(177,1),(260,1),(273,1),(298,1),(376,1),(393,1),(451,1)}
       105:{1,2,5,7}:{(62,1),(72,1),(139,1),(155,1),(157,1),(158,1),(288,1),(366,1),(383,1),(388,1),(397,1),(455,1)}
       106:{1,4}:{(63,1),(78,1),(145,1)}
       107:{1,3,5,7}:{(63,1),(64,1),(66,1),(79,1),(146,1),(160,1),(161,1),(279,1)}
       108:{1,3,5}:{(65,1),(80,1),(147,1),(156,1),(159,1),(162,1),(389,1),(469,1),(506,1)}
       109:{1,2,6}:{(66,1),(82,1),(149,1),(161,1),(467,1)}
       110:{2,4,5,6}:{(67,1),(71,1),(163,1),(164,1),(165,1),(170,1),(186,1),(282,1),(293,1),(303,1),(472,1),(473,1)}
       111:{1,3,5,6}:{(67,1),(68,1),(73,1),(163,1),(165,1),(166,1),(271,1),(384,1)}
       112:{1,4,5,7}:{(67,1),(69,1),(74,1),(164,1),(166,1),(167,1),(179,1),(288,1),(394,1),(476,1)}
       113:{3,5,7}:{(68,1),(69,1),(76,1),(168,1),(474,1)}
       114:{2,4,6,7}:{(69,1),(167,1),(168,1),(169,1),(289,1),(290,1),(371,1)}
       115:{2,4,6}:{(70,1),(78,1),(154,1),(170,1),(171,1),(172,1),(303,1),(514,1),(551,1)}
       116:{2,3,5,7}:{(70,1),(72,1),(155,1),(172,1),(173,1),(175,1),(277,1),(292,1),(297,1),(300,1),(383,1),(455,1),(511,1),(540,1)}
       117:{3,6}:{(71,1),(80,1),(175,1)}
       118:{2,4,7}:{(71,1),(72,1),(74,1),(175,1)}
       119:{2,6,7}:{(72,1),(75,1),(82,1)}
       120:{2,4,6}:{(73,1),(83,1),(165,1),(174,1),(177,1),(178,1),(298,1)}
       121:{1,3,4,7}:{(73,1),(74,1),(76,1),(166,1),(175,1),(178,1),(283,1),(299,1),(394,1),(474,1)}
       122:{1,4,6,7}:{(74,1),(75,1),(77,1),(84,1),(176,1),(179,1)}
       123:{3,4,6,7}:{(76,1),(77,1),(85,1),(168,1),(180,1),(290,1)}
       124:{2,5,7}:{(77,1),(86,1),(179,1),(180,1)}
       125:{3,4}:{(78,1),(80,1)}
       126:{2,4,7}:{(78,1),(79,1),(160,1),(182,1),(183,1)}
       127:{2,3,6}:{(79,1),(82,1),(161,1),(183,1),(185,1)}
       128:{2,3,5}:{(80,1),(83,1),(174,1),(181,1),(184,1),(469,1)}
       129:{3,5,7}:{(80,1),(81,1),(175,1),(182,1),(185,1),(302,1)}
       130:{2,4,6}:{(81,1),(82,1),(84,1),(185,1),(186,1),(303,1)}
       131:{1,4,5}:{(83,1),(177,1),(184,1),(278,1),(382,1)}
       132:{1,5,6}:{(84,1),(86,1),(179,1),(186,1),(279,1)}
       133:{3,5,6}:{(85,1),(86,1),(180,1),(187,1),(380,1)}
       134:{1,4,5,6}:{(87,1),(89,1),(188,1),(189,1),(190,1),(210,1),(212,1),(308,1),(331,1),(409,1),(527,1)}
       135:{3,5,6}:{(87,1),(91,1),(191,1),(230,1),(350,1),(484,1)}
       136:{2,4,5,7}:{(87,1),(92,1),(190,1),(191,1),(192,1),(202,1),(309,1),(323,1),(485,1),(529,1),(547,1)}
       137:{2,3,5,6}:{(88,1),(94,1),(103,1),(193,1),(194,1),(195,1),(205,1),(216,1),(313,1),(326,1),(328,1),(329,1),(343,1),(419,1),(420,1),(430,1),(437,1),(443,1),(505,1),(534,1),(536,1)}
       138:{2,4,6}:{(88,1),(89,1),(96,1),(195,1),(196,1)}
       139:{2,5,7}:{(88,1),(90,1),(196,1),(197,1),(424,1)}
       140:{1,3,4,6}:{(89,1),(91,1),(98,1),(189,1),(195,1),(198,1),(199,1),(304,1),(318,1),(409,1),(484,1)}
       141:{1,4,7}:{(89,1),(90,1),(92,1),(196,1),(425,1)}
       142:{1,3,6,7}:{(90,1),(93,1),(100,1),(197,1),(200,1),(320,1),(416,1)}
       143:{3,4,7}:{(91,1),(92,1),(191,1),(547,1)}
       144:{2,4,6,7}:{(92,1),(93,1),(102,1),(200,1),(201,1),(202,1)}
       145:{2,4}:{(94,1),(106,1),(203,1)}
       146:{2,3,5,7}:{(94,1),(95,1),(97,1),(107,1),(204,1),(205,1),(207,1),(326,1)}
       147:{3,5}:{(96,1),(195,1),(203,1)}
       148:{2,4,5,7}:{(96,1),(97,1),(99,1),(196,1),(204,1),(207,1),(208,1),(321,1),(326,1),(425,1),(427,1)}
       149:{2,6}:{(97,1),(100,1)}
       150:{2,4,5}:{(98,1),(198,1),(206,1),(209,1),(218,1),(327,1),(329,1)}
       151:{1,4,6}:{(99,1),(100,1),(102,1),(208,1),(210,1)}
       152:{3,4,6}:{(101,1),(102,1),(211,1),(350,1),(446,1)}
       153:{2,5,6}:{(102,1),(202,1),(210,1),(211,1),(243,1)}
       154:{1,4,6}:{(103,1),(106,1),(115,1),(193,1),(212,1),(214,1),(495,1)}
       155:{1,3,5,7}:{(103,1),(105,1),(116,1),(194,1),(214,1),(215,1),(217,1),(334,1),(336,1),(429,1)}
       156:{1,3,6}:{(104,1),(108,1),(117,1),(195,1),(216,1),(217,1),(437,1),(484,1)}
       157:{1,2,4,7}:{(104,1),(105,1),(118,1),(196,1),(214,1),(217,1),(239,1),(322,1),(333,1),(355,1),(424,1),(438,1),(485,1)}
       158:{1,2,6,7}:{(105,1),(109,1),(119,1),(197,1),(215,1),(347,1),(416,1),(430,1),(442,1),(489,1),(497,1)}
       159:{1,3,4}:{(106,1),(108,1),(125,1),(203,1),(218,1),(495,1),(498,1),(524,1)}
       160:{1,4,7}:{(106,1),(107,1),(126,1),(204,1),(219,1)}
       161:{1,3,6}:{(107,1),(109,1),(127,1),(205,1),(219,1)}
       162:{2,3,5}:{(108,1),(216,1),(218,1),(220,1),(244,1),(327,1),(329,1),(357,1),(426,1)}
       163:{3,5,6}:{(110,1),(117,1),(221,1),(223,1),(230,1),(350,1)}
       164:{2,4,5,7}:{(110,1),(112,1),(118,1),(223,1),(224,1),(226,1),(238,1),(341,1),(356,1),(440,1),(441,1)}
       165:{2,5,6}:{(111,1),(120,1),(225,1),(226,1),(329,1),(430,1)}
       166:{1,3,5,7}:{(111,1),(112,1),(113,1),(121,1),(223,1),(226,1),(227,1)}
       167:{1,4,6,7}:{(112,1),(114,1),(224,1),(227,1),(228,1),(331,1),(347,1)}
       168:{3,6,7}:{(113,1),(114,1),(419,1)}
       169:{2,5,6,7}:{(114,1),(124,1),(228,1),(229,1),(420,1),(503,1)}
       170:{2,4,5}:{(115,1),(212,1),(230,1),(243,1),(329,1),(358,1),(548,1),(552,1)}
       171:{3,4,6}:{(115,1),(117,1),(125,1),(230,1),(233,1),(350,1),(484,1),(524,1)}
       172:{2,4,7}:{(115,1),(116,1),(214,1),(233,1),(356,1),(547,1)}
       173:{2,3,6,7}:{(116,1),(119,1),(127,1),(215,1),(234,1),(237,1),(350,1),(430,1),(489,1),(528,1),(531,1)}
       174:{2,3,6}:{(117,1),(120,1),(128,1),(235,1),(236,1),(437,1)}
       175:{3,7}:{(117,1),(118,1)}
       176:{2,4,6,7}:{(118,1),(119,1),(122,1),(130,1),(237,1),(238,1),(356,1)}
       177:{1,4,6}:{(120,1),(131,1),(225,1),(235,1),(239,1)}
       178:{2,4,7}:{(120,1),(121,1),(226,1),(236,1),(239,1),(355,1)}
       179:{1,5,7}:{(122,1),(124,1),(132,1),(238,1)}
       180:{3,5,7}:{(123,1),(124,1),(133,1),(240,1)}
       181:{2,3,4}:{(125,1),(128,1),(218,1),(241,1),(426,1),(498,1)}
       182:{3,4,7}:{(125,1),(126,1),(129,1),(242,1),(356,1)}
       183:{2,4,6}:{(126,1),(127,1),(219,1),(242,1),(243,1)}
       184:{1,3,5}:{(128,1),(131,1),(235,1),(241,1),(244,1)}
       185:{3,6}:{(129,1),(130,1)}
       186:{2,5,6}:{(130,1),(132,1),(238,1),(243,1),(245,1)}
       187:{4,5,6}:{(133,1),(240,1),(427,1),(493,1)}
       188:{2,4,5,6}:{(134,1),(138,1),(246,1),(247,1),(248,1),(253,1),(269,1),(360,1),(371,1),(381,1),(509,1),(510,1)}
       189:{1,3,5,6}:{(134,1),(135,1),(140,1),(246,1),(248,1),(249,1),(271,1),(384,1)}
       190:{1,4,5,7}:{(134,1),(136,1),(141,1),(247,1),(249,1),(250,1),(262,1),(366,1),(452,1),(513,1)}
       191:{3,5,7}:{(135,1),(136,1),(143,1),(251,1),(511,1)}
       192:{2,4,6,7}:{(136,1),(250,1),(251,1),(252,1),(293,1),(367,1),(368,1)}
       193:{2,4,6}:{(137,1),(145,1),(154,1),(253,1),(254,1),(255,1),(381,1),(477,1),(544,1)}
       194:{2,3,5,7}:{(137,1),(139,1),(155,1),(255,1),(256,1),(258,1),(277,1),(370,1),(375,1),(378,1),(383,1),(397,1),(474,1),(522,1)}
       195:{3,6}:{(138,1),(147,1),(258,1)}
       196:{2,4,7}:{(138,1),(139,1),(141,1),(258,1)}
       197:{2,6,7}:{(139,1),(142,1),(149,1)}
       198:{2,4,6}:{(140,1),(150,1),(248,1),(257,1),(260,1),(261,1),(376,1)}
       199:{1,3,4,7}:{(140,1),(141,1),(143,1),(249,1),(258,1),(261,1),(361,1),(377,1),(452,1),(511,1)}
       200:{1,4,6,7}:{(141,1),(142,1),(144,1),(151,1),(259,1),(262,1)}
       201:{3,4,6,7}:{(143,1),(144,1),(152,1),(251,1),(263,1),(368,1)}
       202:{2,5,7}:{(144,1),(153,1),(262,1),(263,1)}
       203:{3,4}:{(145,1),(147,1)}
       204:{2,4,7}:{(145,1),(146,1),(160,1),(265,1),(266,1)}
       205:{2,3,6}:{(146,1),(149,1),(161,1),(266,1),(268,1)}
       206:{2,3,5}:{(147,1),(150,1),(257,1),(264,1),(267,1),(506,1)}
       207:{3,5,7}:{(147,1),(148,1),(258,1),(265,1),(268,1),(380,1)}
       208:{2,4,6}:{(148,1),(149,1),(151,1),(268,1),(269,1),(381,1)}
       209:{1,4,5}:{(150,1),(260,1),(267,1),(278,1),(382,1)}
       210:{1,5,6}:{(151,1),(153,1),(262,1),(269,1),(279,1)}
       211:{3,5,6}:{(152,1),(153,1),(263,1),(270,1),(302,1)}
       212:{1,4,5}:{(154,1),(170,1),(253,1),(271,1),(279,1),(382,1),(542,1)}
       213:{1,3,4,6}:{(154,1),(156,1),(159,1),(171,1),(254,1),(271,1),(273,1),(274,1),(384,1)}
       214:{1,4,7}:{(154,1),(155,1),(172,1),(255,1)}
       215:{1,3,6,7}:{(155,1),(158,1),(161,1),(173,1),(256,1),(275,1),(384,1),(467,1),(518,1)}
       216:{2,3,6}:{(156,1),(162,1),(273,1),(276,1),(277,1),(298,1),(376,1)}
       217:{1,3,7}:{(156,1),(157,1),(175,1),(258,1),(277,1),(474,1),(511,1)}
       218:{2,4}:{(159,1),(162,1),(278,1)}
       219:{1,4,6}:{(160,1),(161,1),(183,1),(266,1),(279,1)}
       220:{1,3,5}:{(162,1),(276,1),(278,1),(280,1),(382,1),(389,1)}
       221:{3,4,6}:{(163,1),(281,1),(282,1),(283,1),(303,1)}
       222:{2,3,5,6}:{(163,1),(165,1),(174,1),(282,1),(284,1),(285,1),(291,1),(402,1),(472,1)}
       223:{3,5,7}:{(163,1),(164,1),(175,1),(283,1),(286,1)}
       224:{2,4,6,7}:{(164,1),(167,1),(286,1),(287,1),(289,1),(293,1),(399,1)}
       225:{1,5,6}:{(165,1),(177,1),(288,1),(382,1),(467,1)}
       226:{2,5,7}:{(165,1),(166,1),(178,1),(288,1),(289,1)}
       227:{1,3,6,7}:{(166,1),(167,1),(168,1),(286,1),(289,1),(384,1)}
       228:{1,5,6,7}:{(167,1),(169,1),(179,1),(287,1),(385,1),(476,1)}
       229:{3,5,6,7}:{(168,1),(169,1),(180,1),(290,1),(461,1),(522,1)}
       230:{3,5}:{(170,1),(171,1)}
       231:{2,4,5,7}:{(170,1),(172,1),(272,1),(292,1),(293,1),(297,1),(383,1),(406,1)}
       232:{2,3,4,6}:{(171,1),(174,1),(181,1),(273,1),(282,1),(291,1),(294,1),(295,1),(402,1),(462,1),(514,1),(541,1)}
       233:{3,4,7}:{(171,1),(172,1),(175,1),(292,1),(511,1)}
       234:{2,4,6,7}:{(172,1),(173,1),(183,1),(275,1),(293,1),(296,1),(297,1),(541,1)}
       235:{1,3,6}:{(174,1),(177,1),(184,1),(298,1),(299,1)}
       236:{2,3,7}:{(174,1),(175,1),(178,1),(299,1),(474,1)}
       237:{3,6,7}:{(175,1),(176,1),(185,1),(300,1)}
       238:{2,5,7}:{(176,1),(179,1),(186,1),(300,1)}
       239:{1,4,7}:{(177,1),(178,1),(288,1),(299,1)}
       240:{4,5,7}:{(180,1),(187,1),(290,1)}
       241:{1,3,4}:{(181,1),(184,1),(278,1),(301,1),(389,1)}
       242:{3,4,6}:{(182,1),(183,1),(185,1),(302,1),(303,1)}
       243:{2,5}:{(183,1),(279,1),(302,1)}
       244:{2,5}:{(184,1),(298,1),(301,1)}
       245:{3,5,6}:{(185,1),(186,1),(300,1),(302,1),(303,1)}
       246:{3,5,6}:{(188,1),(195,1),(304,1),(306,1),(313,1),(419,1)}
       247:{2,4,5,7}:{(188,1),(190,1),(196,1),(306,1),(307,1),(309,1),(321,1),(410,1),(425,1),(487,1),(488,1)}
       248:{2,5,6}:{(189,1),(198,1),(308,1),(309,1),(329,1),(430,1)}
       249:{1,3,5,7}:{(189,1),(190,1),(191,1),(199,1),(306,1),(309,1),(310,1)}
       250:{1,4,6,7}:{(190,1),(192,1),(307,1),(310,1),(311,1),(331,1),(416,1)}
       251:{3,6,7}:{(191,1),(192,1),(350,1)}
       252:{2,5,6,7}:{(192,1),(202,1),(311,1),(312,1),(351,1),(529,1)}
       253:{2,4,5}:{(193,1),(212,1),(313,1),(326,1),(329,1),(427,1),(536,1),(549,1)}
       254:{3,4,6}:{(193,1),(195,1),(203,1),(313,1),(316,1),(419,1),(437,1),(498,1)}
       255:{2,4,7}:{(193,1),(194,1),(214,1),(316,1),(425,1),(535,1)}
       256:{2,3,6,7}:{(194,1),(197,1),(205,1),(215,1),(317,1),(320,1),(419,1),(430,1),(442,1),(502,1),(505,1)}
       257:{2,3,6}:{(195,1),(198,1),(206,1),(318,1),(319,1),(484,1)}
       258:{3,7}:{(195,1),(196,1)}
       259:{2,4,6,7}:{(196,1),(197,1),(200,1),(208,1),(320,1),(321,1),(425,1)}
       260:{1,4,6}:{(198,1),(209,1),(308,1),(318,1),(322,1)}
       261:{2,4,7}:{(198,1),(199,1),(309,1),(319,1),(322,1),(424,1)}
       262:{1,5,7}:{(200,1),(202,1),(210,1),(321,1)}
       263:{3,5,7}:{(201,1),(202,1),(211,1),(323,1)}
       264:{2,3,4}:{(203,1),(206,1),(218,1),(324,1),(357,1),(524,1)}
       265:{3,4,7}:{(203,1),(204,1),(207,1),(325,1),(425,1)}
       266:{2,4,6}:{(204,1),(205,1),(219,1),(325,1),(326,1)}
       267:{1,3,5}:{(206,1),(209,1),(318,1),(324,1),(327,1)}
       268:{3,6}:{(207,1),(208,1)}
       269:{2,5,6}:{(208,1),(210,1),(321,1),(326,1),(328,1)}
       270:{4,5,6}:{(211,1),(323,1),(358,1),(446,1)}
       271:{1,3,5}:{(212,1),(213,1),(230,1),(313,1),(329,1)}
       272:{1,4,5,7}:{(212,1),(214,1),(231,1),(314,1),(330,1),(331,1),(334,1),(429,1)}
       273:{2,4,6}:{(213,1),(216,1),(218,1),(329,1),(332,1),(333,1),(430,1)}
       274:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(316,1),(330,1),(333,1)}
       275:{1,4,6,7}:{(214,1),(215,1),(219,1),(234,1),(317,1),(331,1),(334,1),(532,1)}
       276:{1,3,6}:{(216,1),(220,1),(332,1),(335,1),(336,1)}
       277:{2,3,7}:{(216,1),(217,1),(333,1),(336,1),(355,1),(424,1)}
       278:{1,4}:{(218,1),(220,1)}
       279:{1,5}:{(219,1),(243,1),(326,1)}
       280:{1,2,5}:{(220,1),(244,1),(327,1),(335,1),(337,1)}
       281:{3,4,5}:{(221,1),(230,1),(338,1),(358,1),(524,1)}
       282:{2,4,6}:{(221,1),(222,1),(338,1),(340,1),(341,1)}
       283:{3,4,7}:{(221,1),(223,1),(341,1),(356,1)}
       284:{1,3,5,6}:{(222,1),(225,1),(235,1),(340,1),(343,1),(344,1),(348,1),(437,1),(445,1),(501,1),(534,1)}
       285:{2,3,5,7}:{(222,1),(223,1),(226,1),(236,1),(341,1),(344,1),(345,1),(440,1)}
       286:{3,6,7}:{(223,1),(224,1),(350,1)}
       287:{2,5,6,7}:{(224,1),(228,1),(238,1),(346,1),(351,1),(440,1)}
       288:{1,5,7}:{(225,1),(226,1),(239,1),(347,1)}
       289:{2,6,7}:{(226,1),(227,1),(347,1),(430,1)}
       290:{4,6,7}:{(229,1),(240,1),(493,1),(535,1)}
       291:{2,3,5}:{(230,1),(232,1),(329,1),(338,1),(348,1),(548,1)}
       292:{3,5,7}:{(230,1),(231,1),(233,1),(350,1)}
       293:{2,4,6}:{(231,1),(331,1),(350,1),(351,1),(430,1),(446,1)}
       294:{1,3,4,6}:{(232,1),(235,1),(241,1),(332,1),(340,1),(348,1),(352,1),(353,1),(431,1),(437,1),(445,1),(495,1),(498,1),(532,1),(533,1)}
       295:{2,3,4,7}:{(232,1),(233,1),(236,1),(333,1),(341,1),(349,1),(353,1),(494,1),(530,1)}
       296:{3,4,6,7}:{(233,1),(234,1),(237,1),(242,1),(350,1),(354,1),(356,1),(446,1),(528,1),(545,1),(547,1)}
       297:{2,5,7}:{(234,1),(243,1),(334,1),(351,1),(354,1),(548,1)}
       298:{2,6}:{(235,1),(244,1),(355,1)}
       299:{1,3,7}:{(235,1),(236,1),(239,1),(355,1)}
       300:{3,5,7}:{(237,1),(238,1),(245,1),(356,1)}
       301:{2,4}:{(241,1),(244,1),(357,1)}
       302:{3,5}:{(242,1),(243,1),(358,1)}
       303:{4,6}:{(245,1),(356,1),(358,1)}
       304:{3,4,6}:{(246,1),(359,1),(360,1),(361,1),(381,1)}
       305:{2,3,5,6}:{(246,1),(248,1),(257,1),(360,1),(362,1),(363,1),(369,1),(460,1),(509,1)}
       306:{3,5,7}:{(246,1),(247,1),(258,1),(361,1),(364,1)}
       307:{2,4,6,7}:{(247,1),(250,1),(364,1),(365,1),(367,1),(371,1),(457,1)}
       308:{1,5,6}:{(248,1),(260,1),(366,1),(382,1),(467,1)}
       309:{2,5,7}:{(248,1),(249,1),(261,1),(366,1),(367,1)}
       310:{1,3,6,7}:{(249,1),(250,1),(251,1),(364,1),(367,1),(384,1)}
       311:{1,5,6,7}:{(250,1),(252,1),(262,1),(365,1),(385,1),(513,1)}
       312:{3,5,6,7}:{(251,1),(252,1),(263,1),(368,1),(403,1),(540,1)}
       313:{3,5}:{(253,1),(254,1)}
       314:{2,4,5,7}:{(253,1),(255,1),(272,1),(370,1),(371,1),(375,1),(383,1),(464,1)}
       315:{2,3,4,6}:{(254,1),(257,1),(264,1),(273,1),(360,1),(369,1),(372,1),(373,1),(404,1),(460,1),(477,1),(523,1)}
       316:{3,4,7}:{(254,1),(255,1),(258,1),(370,1),(474,1)}
       317:{2,4,6,7}:{(255,1),(256,1),(266,1),(275,1),(371,1),(374,1),(375,1),(523,1)}
       318:{1,3,6}:{(257,1),(260,1),(267,1),(376,1),(377,1)}
       319:{2,3,7}:{(257,1),(258,1),(261,1),(377,1),(511,1)}
       320:{3,6,7}:{(258,1),(259,1),(268,1),(378,1)}
       321:{2,5,7}:{(259,1),(262,1),(269,1),(378,1)}
       322:{1,4,7}:{(260,1),(261,1),(366,1),(377,1)}
       323:{4,5,7}:{(263,1),(270,1),(368,1)}
       324:{1,3,4}:{(264,1),(267,1),(278,1),(379,1),(389,1)}
       325:{3,4,6}:{(265,1),(266,1),(268,1),(380,1),(381,1)}
       326:{2,5}:{(266,1),(279,1),(380,1)}
       327:{2,5}:{(267,1),(376,1),(379,1)}
       328:{3,5,6}:{(268,1),(269,1),(378,1),(380,1),(381,1)}
       329:{2,5}:{(271,1),(273,1),(382,1)}
       330:{1,3,5,7}:{(271,1),(272,1),(274,1),(292,1),(370,1),(383,1),(384,1)}
       331:{1,4,6}:{(272,1),(293,1),(371,1),(384,1),(385,1),(467,1)}
       332:{1,4,6}:{(273,1),(276,1),(278,1),(382,1),(387,1),(467,1)}
       333:{2,4,7}:{(273,1),(274,1),(277,1),(383,1),(387,1)}
       334:{1,5,7}:{(275,1),(279,1),(297,1),(375,1),(385,1),(542,1)}
       335:{1,2,6}:{(276,1),(280,1),(298,1),(376,1),(388,1)}
       336:{1,3,7}:{(276,1),(277,1),(387,1),(388,1)}
       337:{1,2,4}:{(278,1),(280,1),(301,1),(379,1),(389,1)}
       338:{2,4,5}:{(281,1),(282,1),(291,1),(390,1),(514,1)}
       339:{3,4,5,7}:{(281,1),(283,1),(292,1),(391,1),(392,1),(396,1),(406,1),(537,1),(550,1)}
       340:{1,4,6}:{(282,1),(284,1),(390,1),(393,1),(394,1),(544,1)}
       341:{2,4,7}:{(282,1),(283,1),(285,1),(394,1)}
       342:{3,4,6,7}:{(283,1),(286,1),(392,1),(395,1),(396,1),(399,1)}
       343:{2,5,6}:{(284,1),(298,1),(393,1),(397,1),(400,1),(479,1)}
       344:{1,3,5,7}:{(284,1),(285,1),(288,1),(299,1),(394,1),(397,1),(398,1),(474,1),(476,1),(522,1)}
       345:{2,3,6,7}:{(285,1),(286,1),(289,1),(395,1),(398,1),(402,1)}
       346:{3,5,6,7}:{(286,1),(287,1),(300,1),(396,1),(399,1),(403,1)}
       347:{1,6,7}:{(288,1),(289,1),(467,1)}
       348:{1,3,5}:{(291,1),(294,1),(382,1),(390,1),(400,1),(469,1),(542,1),(543,1)}
       349:{2,3,5,7}:{(291,1),(292,1),(295,1),(383,1),(391,1),(401,1),(402,1)}
       350:{3,6}:{(292,1),(293,1)}
       351:{2,5,6}:{(293,1),(297,1),(385,1),(403,1)}
       352:{2,4,6}:{(294,1),(298,1),(301,1),(400,1),(404,1),(405,1),(477,1),(479,1)}
       353:{1,3,4,7}:{(294,1),(295,1),(299,1),(387,1),(394,1),(401,1),(405,1),(468,1),(474,1),(517,1),(519,1)}
       354:{3,5,7}:{(296,1),(297,1),(302,1),(403,1),(406,1),(550,1)}
       355:{2,7}:{(298,1),(299,1)}
       356:{4,7}:{(300,1),(303,1)}
       357:{2,3}:{(301,1),(389,1)}
       358:{4,5}:{(302,1),(303,1)}
       359:{3,4,5}:{(304,1),(313,1),(407,1),(427,1),(498,1)}
       360:{2,4,6}:{(304,1),(305,1),(407,1),(409,1),(410,1)}
       361:{3,4,7}:{(304,1),(306,1),(410,1),(425,1)}
       362:{1,3,5,6}:{(305,1),(308,1),(318,1),(409,1),(412,1),(413,1),(417,1),(484,1),(492,1),(527,1),(546,1)}
       363:{2,3,5,7}:{(305,1),(306,1),(309,1),(319,1),(410,1),(413,1),(414,1),(487,1)}
       364:{3,6,7}:{(306,1),(307,1),(419,1)}
       365:{2,5,6,7}:{(307,1),(311,1),(321,1),(415,1),(420,1),(487,1)}
       366:{1,5,7}:{(308,1),(309,1),(322,1),(416,1)}
       367:{2,6,7}:{(309,1),(310,1),(416,1),(430,1)}
       368:{4,6,7}:{(312,1),(323,1),(446,1),(547,1)}
       369:{2,3,5}:{(313,1),(315,1),(329,1),(407,1),(417,1),(536,1)}
       370:{3,5,7}:{(313,1),(314,1),(316,1),(419,1)}
       371:{2,4,6}:{(314,1),(331,1),(419,1),(420,1),(430,1),(493,1)}
       372:{1,3,4,6}:{(315,1),(318,1),(324,1),(332,1),(409,1),(417,1),(421,1),(422,1),(431,1),(484,1),(492,1),(495,1),(524,1),(532,1),(545,1)}
       373:{2,3,4,7}:{(315,1),(316,1),(319,1),(333,1),(410,1),(418,1),(422,1),(447,1),(504,1)}
       374:{3,4,6,7}:{(316,1),(317,1),(320,1),(325,1),(419,1),(423,1),(425,1),(493,1),(502,1),(533,1),(535,1)}
       375:{2,5,7}:{(317,1),(326,1),(334,1),(420,1),(423,1),(536,1)}
       376:{2,6}:{(318,1),(327,1),(424,1)}
       377:{1,3,7}:{(318,1),(319,1),(322,1),(424,1)}
       378:{3,5,7}:{(320,1),(321,1),(328,1),(425,1)}
       379:{2,4}:{(324,1),(327,1),(426,1)}
       380:{3,5}:{(325,1),(326,1),(427,1)}
       381:{4,6}:{(328,1),(425,1),(427,1)}
       382:{1,5}:{(329,1),(332,1)}
       383:{2,5,7}:{(329,1),(330,1),(333,1),(429,1),(430,1)}
       384:{1,3,6}:{(330,1),(331,1),(350,1),(419,1),(430,1)}
       385:{1,5,6}:{(331,1),(334,1),(351,1),(420,1)}
       386:{1,2,4,6}:{(332,1),(335,1),(337,1),(352,1),(421,1),(428,1),(431,1),(432,1),(495,1),(497,1),(532,1)}
       387:{1,4,7}:{(332,1),(333,1),(336,1),(429,1)}
       388:{1,2,7}:{(335,1),(336,1),(355,1),(424,1)}
       389:{1,3}:{(337,1),(357,1),(426,1)}
       390:{1,4,5}:{(338,1),(340,1),(348,1),(433,1),(495,1),(549,1)}
       391:{2,4,5,7}:{(338,1),(339,1),(341,1),(349,1),(434,1),(435,1),(440,1),(530,1),(548,1)}
       392:{3,4,6}:{(339,1),(350,1),(435,1),(436,1),(446,1)}
       393:{2,4,6}:{(340,1),(343,1),(433,1),(437,1),(438,1)}
       394:{1,4,7}:{(340,1),(341,1),(344,1),(438,1),(535,1)}
       395:{2,4,6,7}:{(341,1),(342,1),(345,1),(435,1),(439,1),(440,1)}
       396:{3,5,7}:{(342,1),(436,1),(440,1),(441,1)}
       397:{2,5,7}:{(343,1),(344,1),(355,1),(438,1),(442,1)}
       398:{1,3,6,7}:{(344,1),(345,1),(347,1),(439,1),(442,1),(445,1),(502,1)}
       399:{4,6,7}:{(346,1),(356,1),(441,1),(446,1)}
       400:{2,5}:{(348,1),(352,1)}
       401:{1,3,5,7}:{(348,1),(349,1),(353,1),(429,1),(434,1),(444,1),(445,1),(499,1)}
       402:{2,3,6}:{(349,1),(350,1),(430,1),(435,1),(445,1)}
       403:{3,5,6}:{(350,1),(351,1),(354,1),(446,1)}
       404:{2,3,6}:{(352,1),(357,1),(431,1),(437,1),(443,1),(447,1)}
       405:{2,4,7}:{(352,1),(353,1),(355,1),(444,1),(447,1)}
       406:{4,5,7}:{(354,1),(356,1),(358,1),(446,1),(547,1),(552,1)}
       407:{2,4,5}:{(359,1),(360,1),(369,1),(448,1),(477,1)}
       408:{3,4,5,7}:{(359,1),(361,1),(370,1),(449,1),(450,1),(454,1),(464,1),(519,1),(543,1)}
       409:{1,4,6}:{(360,1),(362,1),(448,1),(451,1),(452,1),(551,1)}
       410:{2,4,7}:{(360,1),(361,1),(363,1),(452,1)}
       411:{3,4,6,7}:{(361,1),(364,1),(450,1),(453,1),(454,1),(457,1)}
       412:{2,5,6}:{(362,1),(376,1),(451,1),(455,1),(458,1),(516,1)}
       413:{1,3,5,7}:{(362,1),(363,1),(366,1),(377,1),(452,1),(455,1),(456,1),(511,1),(513,1),(540,1)}
       414:{2,3,6,7}:{(363,1),(364,1),(367,1),(453,1),(456,1),(460,1)}
       415:{3,5,6,7}:{(364,1),(365,1),(378,1),(454,1),(457,1),(461,1)}
       416:{1,6,7}:{(366,1),(367,1),(467,1)}
       417:{1,3,5}:{(369,1),(372,1),(382,1),(448,1),(458,1),(506,1),(542,1),(550,1)}
       418:{2,3,5,7}:{(369,1),(370,1),(373,1),(383,1),(449,1),(459,1),(460,1)}
       419:{3,6}:{(370,1),(371,1)}
       420:{2,5,6}:{(371,1),(375,1),(385,1),(461,1)}
       421:{2,4,6}:{(372,1),(376,1),(379,1),(458,1),(462,1),(463,1),(514,1),(516,1)}
       422:{1,3,4,7}:{(372,1),(373,1),(377,1),(387,1),(452,1),(459,1),(463,1),(468,1),(511,1),(517,1),(537,1)}
       423:{3,5,7}:{(374,1),(375,1),(380,1),(461,1),(464,1),(543,1)}
       424:{2,7}:{(376,1),(377,1)}
       425:{4,7}:{(378,1),(381,1)}
       426:{2,3}:{(379,1),(389,1)}
       427:{4,5}:{(380,1),(381,1)}
       428:{1,2,5}:{(382,1),(386,1),(400,1),(458,1),(465,1),(542,1)}
       429:{1,5,7}:{(382,1),(383,1),(387,1),(467,1)}
       430:{2,6}:{(383,1),(384,1),(467,1)}
       431:{1,3,6}:{(386,1),(389,1),(404,1),(462,1),(465,1),(468,1)}
       432:{1,2,4,7}:{(386,1),(387,1),(388,1),(405,1),(463,1),(466,1),(468,1),(517,1)}
       433:{2,4,5}:{(390,1),(393,1),(400,1),(469,1),(477,1)}
       434:{1,4,5,7}:{(390,1),(391,1),(394,1),(401,1),(470,1),(471,1),(476,1),(517,1),(542,1)}
       435:{2,4,6}:{(391,1),(392,1),(402,1),(471,1),(472,1)}
       436:{3,5,6}:{(392,1),(396,1),(472,1),(473,1),(550,1)}
       437:{3,6}:{(393,1),(469,1),(474,1)}
       438:{2,4,7}:{(393,1),(394,1),(397,1),(474,1)}
       439:{1,4,6,7}:{(394,1),(395,1),(398,1),(471,1),(475,1),(476,1)}
       440:{2,5,7}:{(395,1),(396,1),(472,1),(476,1)}
       441:{4,5,7}:{(396,1),(399,1),(473,1)}
       442:{2,6,7}:{(397,1),(398,1),(479,1)}
       443:{2,3,5}:{(400,1),(404,1),(465,1),(469,1),(477,1)}
       444:{2,5,7}:{(400,1),(401,1),(405,1),(479,1)}
       445:{1,3,6}:{(401,1),(402,1),(467,1),(471,1),(479,1),(520,1)}
       446:{4,6}:{(403,1),(406,1)}
       447:{2,3,7}:{(404,1),(405,1),(468,1),(474,1)}
       448:{1,4,5}:{(407,1),(409,1),(417,1),(480,1),(495,1),(552,1)}
       449:{2,4,5,7}:{(407,1),(408,1),(410,1),(418,1),(481,1),(482,1),(487,1),(504,1),(536,1)}
       450:{3,4,6}:{(408,1),(419,1),(482,1),(483,1),(493,1)}
       451:{2,4,6}:{(409,1),(412,1),(480,1),(484,1),(485,1)}
       452:{1,4,7}:{(409,1),(410,1),(413,1),(485,1),(547,1)}
       453:{2,4,6,7}:{(410,1),(411,1),(414,1),(482,1),(486,1),(487,1)}
       454:{3,5,7}:{(411,1),(483,1),(487,1),(488,1)}
       455:{2,5,7}:{(412,1),(413,1),(424,1),(485,1),(489,1)}
       456:{1,3,6,7}:{(413,1),(414,1),(416,1),(486,1),(489,1),(492,1),(528,1)}
       457:{4,6,7}:{(415,1),(425,1),(488,1),(493,1)}
       458:{2,5}:{(417,1),(421,1)}
       459:{1,3,5,7}:{(417,1),(418,1),(422,1),(429,1),(481,1),(491,1),(492,1),(525,1)}
       460:{2,3,6}:{(418,1),(419,1),(430,1),(482,1),(492,1)}
       461:{3,5,6}:{(419,1),(420,1),(423,1),(493,1)}
       462:{2,3,6}:{(421,1),(426,1),(431,1),(484,1),(490,1),(494,1)}
       463:{2,4,7}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       464:{4,5,7}:{(423,1),(425,1),(427,1),(493,1),(535,1),(549,1)}
       465:{1,3,5}:{(428,1),(431,1),(443,1),(490,1),(495,1)}
       466:{1,2,5,7}:{(428,1),(429,1),(432,1),(444,1),(491,1),(496,1),(497,1)}
       467:{1,6}:{(429,1),(430,1)}
       468:{1,3,7}:{(431,1),(432,1),(447,1),(494,1)}
       469:{3,5}:{(433,1),(437,1),(498,1)}
       470:{2,4,5,7}:{(433,1),(434,1),(438,1),(444,1),(499,1),(500,1),(503,1),(504,1),(535,1),(536,1),(549,1)}
       471:{1,4,6}:{(434,1),(435,1),(445,1),(500,1),(501,1)}
       472:{2,5,6}:{(435,1),(436,1),(440,1),(501,1),(548,1)}
       473:{4,5,6}:{(436,1),(441,1),(446,1),(552,1)}
       474:{3,7}:{(437,1),(438,1)}
       475:{2,4,6,7}:{(438,1),(439,1),(442,1),(500,1),(502,1),(503,1),(535,1)}
       476:{1,5,7}:{(439,1),(440,1),(501,1),(503,1)}
       477:{2,4}:{(443,1),(495,1),(498,1)}
       478:{2,3,5,7}:{(443,1),(444,1),(447,1),(496,1),(499,1),(504,1),(505,1),(536,1)}
       479:{2,6}:{(444,1),(445,1)}
       480:{2,4,5}:{(448,1),(451,1),(458,1),(506,1),(514,1)}
       481:{1,4,5,7}:{(448,1),(449,1),(452,1),(459,1),(507,1),(508,1),(513,1),(517,1),(542,1)}
       482:{2,4,6}:{(449,1),(450,1),(460,1),(508,1),(509,1)}
       483:{3,5,6}:{(450,1),(454,1),(509,1),(510,1),(543,1)}
       484:{3,6}:{(451,1),(506,1),(511,1)}
       485:{2,4,7}:{(451,1),(452,1),(455,1),(511,1)}
       486:{1,4,6,7}:{(452,1),(453,1),(456,1),(508,1),(512,1),(513,1)}
       487:{2,5,7}:{(453,1),(454,1),(509,1),(513,1)}
       488:{4,5,7}:{(454,1),(457,1),(510,1)}
       489:{2,6,7}:{(455,1),(456,1),(516,1)}
       490:{2,3,5}:{(458,1),(462,1),(465,1),(506,1),(514,1)}
       491:{2,5,7}:{(458,1),(459,1),(463,1),(516,1)}
       492:{1,3,6}:{(459,1),(460,1),(467,1),(508,1),(516,1),(538,1)}
       493:{4,6}:{(461,1),(464,1)}
       494:{2,3,7}:{(462,1),(463,1),(468,1),(511,1)}
       495:{1,4}:{(465,1),(477,1),(514,1)}
       496:{1,3,5,7}:{(465,1),(466,1),(468,1),(478,1),(515,1),(517,1),(518,1),(542,1)}
       497:{1,2,6}:{(466,1),(467,1),(479,1),(516,1),(518,1)}
       498:{3,4}:{(469,1),(477,1)}
       499:{3,5,7}:{(469,1),(470,1),(474,1),(519,1),(520,1),(543,1)}
       500:{2,4,6}:{(470,1),(471,1),(479,1),(520,1),(521,1),(544,1)}
       501:{1,5,6}:{(471,1),(472,1),(476,1),(521,1),(542,1)}
       502:{3,6,7}:{(474,1),(475,1),(520,1),(522,1)}
       503:{2,5,7}:{(475,1),(476,1),(521,1),(522,1)}
       504:{2,4,7}:{(477,1),(478,1),(517,1),(519,1),(523,1)}
       505:{2,3,6}:{(478,1),(479,1),(518,1),(520,1),(523,1)}
       506:{3,5}:{(480,1),(484,1),(524,1)}
       507:{2,4,5,7}:{(480,1),(481,1),(485,1),(491,1),(525,1),(526,1),(529,1),(530,1),(547,1),(548,1),(552,1)}
       508:{1,4,6}:{(481,1),(482,1),(492,1),(526,1),(527,1)}
       509:{2,5,6}:{(482,1),(483,1),(487,1),(527,1),(536,1)}
       510:{4,5,6}:{(483,1),(488,1),(493,1),(549,1)}
       511:{3,7}:{(484,1),(485,1)}
       512:{2,4,6,7}:{(485,1),(486,1),(489,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,5,7}:{(486,1),(487,1),(527,1),(529,1)}
       514:{2,4}:{(490,1),(495,1),(524,1)}
       515:{2,3,5,7}:{(490,1),(491,1),(494,1),(496,1),(525,1),(530,1),(531,1),(548,1)}
       516:{2,6}:{(491,1),(492,1)}
       517:{1,4,7}:{(495,1),(496,1),(504,1),(530,1),(532,1)}
       518:{1,3,6}:{(496,1),(497,1),(505,1),(531,1),(532,1)}
       519:{3,4,7}:{(498,1),(499,1),(504,1),(533,1),(535,1)}
       520:{3,6}:{(499,1),(500,1)}
       521:{2,5,6}:{(500,1),(501,1),(503,1),(534,1),(536,1)}
       522:{3,5,7}:{(502,1),(503,1),(534,1),(535,1)}
       523:{2,4,6}:{(504,1),(505,1),(532,1),(533,1),(536,1)}
       524:{3,4}:{(506,1),(514,1)}
       525:{3,5,7}:{(506,1),(507,1),(511,1),(537,1),(538,1),(550,1)}
       526:{2,4,6}:{(507,1),(508,1),(516,1),(538,1),(539,1),(551,1)}
       527:{1,5,6}:{(508,1),(509,1),(513,1),(539,1),(542,1)}
       528:{3,6,7}:{(511,1),(512,1),(538,1),(540,1)}
       529:{2,5,7}:{(512,1),(513,1),(539,1),(540,1)}
       530:{2,4,7}:{(514,1),(515,1),(517,1),(537,1),(541,1)}
       531:{2,3,6}:{(515,1),(516,1),(518,1),(538,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,4,6}:{(519,1),(520,1),(523,1),(543,1),(544,1)}
       534:{3,5,6}:{(520,1),(521,1),(522,1),(543,1),(544,1)}
       535:{4,7}:{(522,1),(544,1)}
       536:{2,5}:{(523,1),(542,1),(543,1)}
       537:{3,4,7}:{(524,1),(525,1),(530,1),(545,1),(547,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{2,5,6}:{(526,1),(527,1),(529,1),(546,1),(548,1)}
       540:{3,5,7}:{(528,1),(529,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{3,5}:{(533,1),(536,1),(549,1)}
       544:{4,6}:{(534,1),(535,1),(549,1)}
       545:{3,4,6}:{(537,1),(538,1),(541,1),(550,1),(551,1)}
       546:{3,5,6}:{(538,1),(539,1),(540,1),(550,1),(551,1)}
       547:{4,7}:{(540,1),(551,1)}
       548:{2,5}:{(541,1),(542,1),(550,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{3,5}:{(545,1),(548,1),(552,1)}
       551:{4,6}:{(546,1),(547,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 930 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(64,1),(86,1),(142,1),(276,1),(344,1),(354,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(44,1),(55,1),(130,1),(181,1),(282,1),(378,1),(389,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(389,1),(397,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(38,1),(107,1),(113,1),(128,1),(225,1),(327,1),(399,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(51,1),(103,1),(191,1),(199,1),(226,1),(229,1),(295,1),(306,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(26,1),(80,1),(148,1),(274,1),(346,1),(354,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(29,1),(76,1),(86,1),(142,1),(242,1)}
         7:{3,4,6}:{(1,1),(19,1),(21,1),(418,1),(429,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(28,1),(72,1),(437,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(429,1),(436,1)}
        10:{2,4,7}:{(3,1),(22,1),(26,1),(27,1),(375,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(27,1),(28,1),(70,1),(85,1),(153,1),(158,1),(160,1),(175,1),(178,1),(277,1),(279,1),(355,1)}
        12:{2,3,5}:{(4,1),(28,1),(29,1),(242,1),(343,1),(353,1)}
        13:{3,4,5,7}:{(30,1),(31,1),(95,1),(106,1),(113,1),(198,1),(211,1),(312,1),(323,1)}
        14:{2,3,5,7}:{(5,1),(30,1),(32,1),(33,1),(36,1),(323,1),(397,1)}
        15:{1,3,4,7}:{(5,1),(32,1),(34,1),(35,1),(38,1),(107,1),(181,1),(196,1),(296,1),(393,1),(399,1)}
        16:{2,3,4,6}:{(5,1),(33,1),(35,1),(36,1),(52,1),(102,1),(123,1),(131,1),(224,1),(297,1),(300,1),(306,1)}
        17:{1,2,4,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(107,1),(399,1),(401,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(40,1),(41,1),(54,1),(107,1),(117,1),(128,1),(203,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(41,1),(43,1)}
        20:{3,4,6,7}:{(7,1),(42,1),(44,1),(122,1),(130,1),(220,1)}
        21:{3,5,6}:{(7,1),(43,1),(44,1),(45,1),(282,1)}
        22:{2,5,7}:{(8,1),(10,1),(47,1),(53,1)}
        23:{1,3,6}:{(8,1),(9,1),(41,1),(47,1),(114,1),(469,1)}
        24:{2,3,6,7}:{(9,1),(42,1),(48,1),(50,1),(220,1),(320,1)}
        25:{2,3,5,6}:{(9,1),(12,1),(43,1),(49,1),(50,1),(51,1),(121,1),(219,1),(226,1)}
        26:{2,3,7}:{(10,1),(38,1),(52,1),(225,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(52,1),(53,1),(131,1),(328,1),(329,1)}
        28:{1,3,5}:{(11,1),(12,1),(53,1),(54,1),(132,1),(203,1),(211,1),(398,1)}
        29:{2,4,5}:{(12,1),(51,1),(54,1),(55,1),(199,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(56,1),(57,1),(67,1),(80,1),(138,1),(148,1),(171,1)}
        31:{3,4,6}:{(13,1),(57,1),(59,1),(359,1),(370,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(60,1),(61,1),(66,1),(134,1),(437,1)}
        33:{2,3,6}:{(14,1),(57,1),(61,1),(370,1),(436,1)}
        34:{2,4,7}:{(15,1),(60,1),(64,1),(65,1),(434,1)}
        35:{1,3,4,6}:{(15,1),(16,1),(61,1),(65,1),(66,1),(70,1),(147,1),(153,1),(158,1),(231,1),(246,1),(249,1),(347,1),(349,1),(355,1)}
        36:{2,3,5}:{(16,1),(66,1),(67,1),(171,1),(273,1),(353,1)}
        37:{1,2,5,7}:{(17,1),(22,1),(60,1),(68,1),(69,1),(71,1),(437,1)}
        38:{1,3,7}:{(17,1),(26,1),(64,1),(70,1)}
        39:{1,2,4,6}:{(17,1),(27,1),(65,1),(69,1),(70,1),(71,1),(153,1),(158,1),(355,1),(357,1),(358,1)}
        40:{2,4,5,7}:{(18,1),(22,1),(72,1),(73,1),(80,1),(89,1),(163,1),(171,1),(174,1),(261,1),(263,1)}
        41:{1,4,6}:{(18,1),(19,1),(23,1),(73,1),(75,1)}
        42:{2,4,6,7}:{(19,1),(20,1),(24,1),(74,1),(76,1),(86,1)}
        43:{2,5,6}:{(19,1),(21,1),(75,1),(76,1),(242,1)}
        44:{3,5,7}:{(20,1),(21,1),(76,1),(79,1)}
        45:{4,5,6}:{(21,1),(79,1),(331,1),(418,1)}
        46:{2,3,5,7}:{(22,1),(26,1),(68,1),(72,1),(80,1),(81,1),(88,1),(171,1)}
        47:{2,6}:{(22,1),(23,1)}
        48:{1,3,6,7}:{(23,1),(24,1),(74,1),(82,1),(84,1),(161,1),(369,1)}
        49:{1,3,5,6}:{(23,1),(25,1),(28,1),(75,1),(83,1),(84,1),(85,1),(162,1),(175,1),(270,1),(277,1)}
        50:{2,3,5,7}:{(24,1),(25,1),(76,1),(84,1),(86,1),(169,1),(269,1),(276,1)}
        51:{2,4,6}:{(25,1),(29,1),(85,1),(86,1),(87,1)}
        52:{2,3,6}:{(26,1),(27,1),(70,1),(88,1),(175,1),(376,1)}
        53:{2,5}:{(27,1),(28,1)}
        54:{1,4,5}:{(28,1),(29,1),(85,1),(89,1),(158,1),(261,1)}
        55:{3,4,5}:{(29,1),(87,1),(249,1),(343,1),(549,1)}
        56:{1,4,5,7}:{(30,1),(32,1),(91,1),(92,1),(105,1),(107,1),(185,1),(196,1),(203,1)}
        57:{2,4,6}:{(30,1),(31,1),(33,1),(92,1),(94,1)}
        58:{3,4,6,7}:{(31,1),(93,1),(95,1),(190,1),(198,1),(291,1)}
        59:{3,5,6}:{(31,1),(94,1),(95,1),(96,1),(211,1)}
        60:{2,5,7}:{(32,1),(34,1),(98,1),(104,1)}
        61:{1,3,6}:{(32,1),(33,1),(92,1),(98,1),(182,1),(469,1)}
        62:{2,3,6,7}:{(33,1),(93,1),(99,1),(101,1),(291,1),(386,1)}
        63:{2,3,5,6}:{(33,1),(36,1),(94,1),(100,1),(101,1),(102,1),(189,1),(290,1),(297,1)}
        64:{2,3,7}:{(34,1),(38,1),(103,1),(296,1)}
        65:{2,4,6}:{(34,1),(35,1),(98,1),(103,1),(104,1),(199,1),(394,1),(395,1)}
        66:{1,3,5}:{(35,1),(36,1),(104,1),(105,1),(200,1),(203,1),(282,1),(398,1)}
        67:{2,4,5}:{(36,1),(102,1),(105,1),(106,1),(131,1)}
        68:{1,3,5,7}:{(37,1),(38,1),(46,1),(97,1),(107,1),(108,1),(111,1),(203,1)}
        69:{1,2,6}:{(37,1),(47,1),(98,1),(108,1),(469,1)}
        70:{1,3,6}:{(38,1),(39,1),(52,1),(103,1),(111,1),(402,1)}
        71:{1,2,5}:{(39,1),(53,1),(104,1),(111,1),(203,1),(398,1)}
        72:{3,5,7}:{(40,1),(113,1),(114,1),(132,1),(211,1),(225,1)}
        73:{2,4,6}:{(40,1),(41,1),(47,1),(114,1),(116,1),(213,1)}
        74:{1,4,6,7}:{(41,1),(42,1),(48,1),(115,1),(117,1),(128,1)}
        75:{1,5,6}:{(41,1),(43,1),(116,1),(117,1),(203,1)}
        76:{2,5,7}:{(42,1),(43,1),(44,1),(117,1)}
        77:{2,4,5,6}:{(43,1),(45,1),(51,1),(118,1),(120,1),(121,1),(219,1),(293,1),(388,1),(410,1),(519,1),(543,1)}
        78:{3,5,6,7}:{(44,1),(119,1),(122,1),(220,1),(377,1),(522,1)}
        79:{4,5,7}:{(44,1),(45,1),(122,1)}
        80:{2,4,7}:{(46,1),(107,1),(113,1),(123,1),(131,1)}
        81:{2,3,6}:{(46,1),(47,1),(108,1),(114,1),(123,1)}
        82:{2,6,7}:{(47,1),(48,1),(126,1)}
        83:{2,5,6}:{(47,1),(49,1),(53,1),(126,1),(127,1),(328,1)}
        84:{1,3,5,7}:{(48,1),(49,1),(50,1),(117,1),(126,1),(128,1),(212,1),(225,1),(321,1),(327,1)}
        85:{1,4,6}:{(49,1),(51,1),(54,1),(127,1),(128,1),(213,1)}
        86:{2,4,7}:{(50,1),(51,1),(128,1),(130,1)}
        87:{3,4,6}:{(51,1),(55,1),(121,1),(130,1),(543,1)}
        88:{2,3,5}:{(52,1),(53,1),(111,1),(131,1),(132,1)}
        89:{2,4,5}:{(53,1),(54,1),(127,1),(131,1),(132,1)}
        90:{1,3,4,5}:{(54,1),(55,1),(129,1),(132,1),(133,1),(208,1),(230,1),(304,1),(313,1),(406,1),(476,1)}
        91:{2,4,5,7}:{(56,1),(60,1),(134,1),(135,1),(142,1),(151,1),(234,1),(242,1),(245,1),(331,1),(333,1)}
        92:{1,4,6}:{(56,1),(57,1),(61,1),(135,1),(137,1)}
        93:{2,4,6,7}:{(57,1),(58,1),(62,1),(136,1),(138,1),(148,1)}
        94:{2,5,6}:{(57,1),(59,1),(137,1),(138,1),(171,1)}
        95:{3,5,7}:{(58,1),(59,1),(138,1),(141,1)}
        96:{4,5,6}:{(59,1),(141,1),(261,1),(359,1)}
        97:{2,3,5,7}:{(60,1),(64,1),(68,1),(134,1),(142,1),(143,1),(150,1),(242,1)}
        98:{2,6}:{(60,1),(61,1)}
        99:{1,3,6,7}:{(61,1),(62,1),(136,1),(144,1),(146,1),(232,1),(428,1)}
       100:{1,3,5,6}:{(61,1),(63,1),(66,1),(137,1),(145,1),(146,1),(147,1),(233,1),(246,1),(340,1),(347,1)}
       101:{2,3,5,7}:{(62,1),(63,1),(138,1),(146,1),(148,1),(240,1),(339,1),(346,1)}
       102:{2,4,6}:{(63,1),(67,1),(147,1),(148,1),(149,1)}
       103:{2,3,6}:{(64,1),(65,1),(70,1),(150,1),(246,1),(435,1)}
       104:{2,5}:{(65,1),(66,1)}
       105:{1,4,5}:{(66,1),(67,1),(147,1),(151,1),(158,1),(331,1)}
       106:{3,4,5}:{(67,1),(149,1),(178,1),(273,1),(552,1)}
       107:{1,4,7}:{(68,1),(80,1),(142,1),(153,1),(158,1)}
       108:{1,3,6}:{(68,1),(69,1),(81,1),(143,1),(153,1)}
       109:{1,2,6,7}:{(69,1),(82,1),(144,1),(154,1),(156,1),(369,1),(428,1),(436,1),(449,1),(491,1),(496,1)}
       110:{1,2,5,6}:{(69,1),(71,1),(83,1),(145,1),(155,1),(156,1),(157,1),(270,1),(340,1),(353,1),(357,1),(368,1),(427,1),(436,1),(438,1),(496,1)}
       111:{1,3,5}:{(70,1),(71,1),(88,1),(150,1),(158,1)}
       112:{1,2,4,5}:{(71,1),(89,1),(151,1),(157,1),(158,1),(159,1),(180,1),(251,1),(253,1),(258,1),(280,1),(350,1),(353,1),(358,1),(438,1),(444,1),(486,1),(498,1)}
       113:{3,4,7}:{(72,1),(80,1),(160,1),(178,1),(263,1)}
       114:{3,6}:{(72,1),(73,1)}
       115:{2,4,6,7}:{(73,1),(74,1),(82,1),(161,1),(163,1),(174,1),(263,1)}
       116:{2,5,6}:{(73,1),(75,1),(162,1),(163,1),(171,1)}
       117:{1,5,7}:{(74,1),(75,1),(76,1),(163,1)}
       118:{1,4,5,6}:{(75,1),(77,1),(85,1),(164,1),(166,1),(167,1),(253,1),(270,1),(351,1),(365,1),(499,1)}
       119:{2,5,6,7}:{(76,1),(78,1),(165,1),(168,1),(341,1),(503,1)}
       120:{2,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(166,1),(168,1),(169,1),(269,1),(447,1),(503,1),(535,1)}
       121:{3,5,6}:{(77,1),(87,1),(169,1),(343,1),(429,1),(448,1)}
       122:{4,6,7}:{(78,1),(79,1),(418,1),(535,1)}
       123:{2,4,6}:{(80,1),(81,1),(153,1),(160,1),(171,1)}
       124:{2,3,6,7}:{(81,1),(82,1),(154,1),(161,1),(170,1),(172,1),(370,1),(436,1),(491,1),(529,1),(530,1)}
       125:{2,3,5,6}:{(81,1),(83,1),(88,1),(155,1),(162,1),(171,1),(172,1),(173,1),(175,1),(257,1),(271,1),(273,1),(353,1),(370,1),(427,1),(436,1),(490,1),(494,1),(530,1),(545,1),(548,1)}
       126:{2,5,7}:{(82,1),(83,1),(84,1),(174,1),(375,1)}
       127:{2,4,6}:{(83,1),(85,1),(89,1),(174,1),(175,1)}
       128:{1,4,7}:{(84,1),(85,1),(86,1),(174,1),(263,1)}
       129:{1,3,4,6}:{(85,1),(87,1),(90,1),(167,1),(175,1),(176,1),(177,1),(264,1),(277,1),(365,1),(448,1)}
       130:{3,4,7}:{(86,1),(87,1),(169,1),(535,1)}
       131:{2,4}:{(88,1),(158,1),(178,1)}
       132:{3,5}:{(89,1),(175,1),(178,1)}
       133:{2,4,5}:{(90,1),(177,1),(179,1),(180,1),(258,1),(280,1),(353,1)}
       134:{3,5,7}:{(91,1),(181,1),(182,1),(200,1),(282,1),(296,1)}
       135:{2,4,6}:{(91,1),(92,1),(98,1),(182,1),(184,1),(284,1)}
       136:{1,4,6,7}:{(92,1),(93,1),(99,1),(183,1),(185,1),(196,1)}
       137:{1,5,6}:{(92,1),(94,1),(184,1),(185,1),(203,1)}
       138:{2,5,7}:{(93,1),(94,1),(95,1),(185,1)}
       139:{2,4,5,6}:{(94,1),(96,1),(102,1),(186,1),(188,1),(189,1),(222,1),(290,1),(322,1),(461,1),(537,1),(550,1)}
       140:{3,5,6,7}:{(95,1),(187,1),(190,1),(291,1),(311,1),(540,1)}
       141:{4,5,7}:{(95,1),(96,1),(190,1)}
       142:{2,4,7}:{(97,1),(107,1),(181,1),(191,1),(199,1)}
       143:{2,3,6}:{(97,1),(98,1),(108,1),(182,1),(191,1)}
       144:{2,6,7}:{(98,1),(99,1),(194,1)}
       145:{2,5,6}:{(98,1),(100,1),(104,1),(194,1),(195,1),(394,1)}
       146:{1,3,5,7}:{(99,1),(100,1),(101,1),(185,1),(194,1),(196,1),(283,1),(296,1),(387,1),(393,1)}
       147:{1,4,6}:{(100,1),(102,1),(105,1),(195,1),(196,1),(284,1)}
       148:{2,4,7}:{(101,1),(102,1),(196,1),(198,1)}
       149:{3,4,6}:{(102,1),(106,1),(189,1),(198,1),(550,1)}
       150:{2,3,5}:{(103,1),(104,1),(111,1),(199,1),(200,1)}
       151:{2,4,5}:{(104,1),(105,1),(195,1),(199,1),(200,1)}
       152:{1,3,4,5}:{(105,1),(106,1),(197,1),(200,1),(201,1),(208,1),(301,1),(304,1),(379,1),(457,1),(510,1)}
       153:{1,4,6}:{(107,1),(108,1),(123,1),(191,1),(203,1)}
       154:{1,3,6,7}:{(108,1),(109,1),(124,1),(192,1),(202,1),(204,1),(396,1),(469,1),(517,1)}
       155:{1,3,5,6}:{(108,1),(110,1),(111,1),(125,1),(193,1),(203,1),(204,1),(205,1),(207,1),(302,1),(304,1),(308,1),(396,1),(398,1),(469,1),(471,1),(517,1),(542,1)}
       156:{1,2,5,7}:{(109,1),(110,1),(126,1),(194,1),(204,1),(206,1),(321,1),(387,1),(397,1),(401,1),(412,1),(463,1)}
       157:{1,2,4,6}:{(110,1),(112,1),(127,1),(195,1),(205,1),(206,1),(207,1),(228,1),(299,1),(306,1),(328,1),(394,1),(410,1),(461,1)}
       158:{1,4}:{(111,1),(131,1),(199,1)}
       159:{1,3,5}:{(112,1),(132,1),(200,1),(207,1),(208,1),(209,1),(402,1),(476,1),(510,1)}
       160:{3,4,6}:{(113,1),(114,1),(123,1),(211,1),(213,1)}
       161:{3,6,7}:{(114,1),(115,1),(212,1),(225,1)}
       162:{3,5,6}:{(114,1),(116,1),(211,1),(212,1),(213,1)}
       163:{2,5,7}:{(115,1),(116,1),(117,1),(212,1)}
       164:{2,4,5,6}:{(116,1),(118,1),(127,1),(213,1),(215,1),(216,1),(219,1),(222,1),(316,1),(322,1),(403,1),(473,1)}
       165:{1,5,6,7}:{(117,1),(119,1),(214,1),(217,1),(302,1),(477,1)}
       166:{1,4,5,7}:{(117,1),(118,1),(120,1),(128,1),(215,1),(217,1),(218,1),(321,1),(409,1),(477,1)}
       167:{1,3,5,6}:{(118,1),(121,1),(129,1),(216,1),(218,1),(219,1),(304,1),(396,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(122,1),(217,1),(220,1),(320,1),(388,1)}
       169:{3,5,7}:{(120,1),(121,1),(130,1),(220,1),(479,1)}
       170:{2,4,6,7}:{(123,1),(124,1),(202,1),(210,1),(221,1),(223,1),(322,1),(541,1)}
       171:{2,5}:{(123,1),(203,1),(211,1)}
       172:{2,3,5,7}:{(124,1),(125,1),(126,1),(204,1),(212,1),(221,1),(223,1),(225,1),(307,1),(323,1),(397,1),(463,1),(513,1),(540,1)}
       173:{2,4,6}:{(125,1),(131,1),(205,1),(213,1),(222,1),(223,1),(224,1),(516,1),(550,1)}
       174:{2,4,7}:{(126,1),(127,1),(128,1),(225,1)}
       175:{3,6}:{(127,1),(132,1),(225,1)}
       176:{1,3,4,7}:{(128,1),(129,1),(130,1),(218,1),(225,1),(227,1),(315,1),(327,1),(409,1),(479,1)}
       177:{2,4,6}:{(129,1),(133,1),(219,1),(226,1),(227,1),(228,1),(328,1)}
       178:{3,4}:{(131,1),(132,1)}
       179:{2,3,5}:{(132,1),(133,1),(226,1),(229,1),(230,1),(476,1)}
       180:{1,4,5}:{(133,1),(228,1),(230,1),(309,1),(398,1)}
       181:{3,4,7}:{(134,1),(142,1),(231,1),(249,1),(333,1)}
       182:{3,6}:{(134,1),(135,1)}
       183:{2,4,6,7}:{(135,1),(136,1),(144,1),(232,1),(234,1),(245,1),(333,1)}
       184:{2,5,6}:{(135,1),(137,1),(233,1),(234,1),(242,1)}
       185:{1,5,7}:{(136,1),(137,1),(138,1),(234,1)}
       186:{1,4,5,6}:{(137,1),(139,1),(147,1),(235,1),(237,1),(238,1),(253,1),(340,1),(351,1),(424,1),(524,1)}
       187:{2,5,6,7}:{(138,1),(140,1),(236,1),(239,1),(271,1),(528,1)}
       188:{2,4,5,7}:{(138,1),(139,1),(141,1),(148,1),(237,1),(239,1),(240,1),(339,1),(489,1),(528,1),(547,1)}
       189:{3,5,6}:{(139,1),(149,1),(240,1),(273,1),(370,1),(490,1)}
       190:{4,6,7}:{(140,1),(141,1),(359,1),(547,1)}
       191:{2,4,6}:{(142,1),(143,1),(153,1),(231,1),(242,1)}
       192:{2,3,6,7}:{(143,1),(144,1),(154,1),(232,1),(241,1),(243,1),(429,1),(436,1),(449,1),(504,1),(505,1)}
       193:{2,3,5,6}:{(143,1),(145,1),(150,1),(155,1),(233,1),(242,1),(243,1),(244,1),(246,1),(257,1),(341,1),(343,1),(353,1),(368,1),(429,1),(436,1),(448,1),(452,1),(505,1),(533,1),(536,1)}
       194:{2,5,7}:{(144,1),(145,1),(146,1),(245,1),(434,1)}
       195:{2,4,6}:{(145,1),(147,1),(151,1),(245,1),(246,1)}
       196:{1,4,7}:{(146,1),(147,1),(148,1),(245,1),(333,1)}
       197:{1,3,4,6}:{(147,1),(149,1),(152,1),(238,1),(246,1),(247,1),(248,1),(334,1),(347,1),(424,1),(490,1)}
       198:{3,4,7}:{(148,1),(149,1),(240,1),(547,1)}
       199:{2,4}:{(150,1),(158,1),(249,1)}
       200:{3,5}:{(151,1),(246,1),(249,1)}
       201:{2,4,5}:{(152,1),(248,1),(250,1),(251,1),(258,1),(350,1),(353,1)}
       202:{1,4,6,7}:{(153,1),(154,1),(170,1),(241,1),(252,1),(254,1),(351,1),(532,1)}
       203:{1,5}:{(153,1),(171,1),(242,1)}
       204:{1,3,5,7}:{(154,1),(155,1),(156,1),(172,1),(243,1),(252,1),(254,1),(256,1),(356,1),(437,1)}
       205:{1,4,6}:{(155,1),(158,1),(173,1),(244,1),(253,1),(254,1),(498,1)}
       206:{1,2,4,7}:{(156,1),(157,1),(174,1),(245,1),(254,1),(256,1),(278,1),(348,1),(354,1),(375,1),(434,1),(447,1),(489,1)}
       207:{1,3,6}:{(157,1),(159,1),(175,1),(246,1),(256,1),(257,1),(448,1),(490,1)}
       208:{1,3,4}:{(158,1),(159,1),(178,1),(249,1),(258,1),(498,1),(502,1),(527,1)}
       209:{2,3,5}:{(159,1),(257,1),(258,1),(259,1),(280,1),(350,1),(353,1),(376,1),(435,1)}
       210:{3,4,6,7}:{(160,1),(161,1),(170,1),(260,1),(263,1),(274,1),(359,1),(370,1),(529,1),(546,1),(547,1)}
       211:{3,5}:{(160,1),(171,1),(261,1)}
       212:{3,5,7}:{(161,1),(162,1),(163,1),(263,1)}
       213:{4,6}:{(162,1),(261,1),(263,1)}
       214:{2,5,6,7}:{(163,1),(165,1),(262,1),(265,1),(271,1),(445,1)}
       215:{2,4,5,7}:{(163,1),(164,1),(166,1),(174,1),(263,1),(265,1),(266,1),(269,1),(362,1),(364,1),(445,1)}
       216:{3,5,6}:{(164,1),(175,1),(264,1),(266,1),(273,1),(370,1)}
       217:{1,4,6,7}:{(165,1),(166,1),(168,1),(265,1),(268,1),(351,1),(369,1)}
       218:{1,3,5,7}:{(166,1),(167,1),(169,1),(176,1),(266,1),(268,1),(269,1)}
       219:{2,5,6}:{(167,1),(177,1),(269,1),(270,1),(353,1),(436,1)}
       220:{3,6,7}:{(168,1),(169,1),(429,1)}
       221:{2,5,7}:{(170,1),(171,1),(252,1),(260,1),(271,1),(548,1)}
       222:{2,4,5}:{(171,1),(173,1),(253,1),(261,1),(273,1),(353,1),(548,1),(552,1)}
       223:{2,4,7}:{(172,1),(173,1),(254,1),(263,1),(274,1),(547,1)}
       224:{3,4,6}:{(173,1),(175,1),(178,1),(273,1),(274,1),(370,1),(490,1),(527,1)}
       225:{3,7}:{(174,1),(175,1)}
       226:{2,3,6}:{(175,1),(177,1),(179,1),(276,1),(277,1),(448,1)}
       227:{2,4,7}:{(176,1),(177,1),(269,1),(276,1),(278,1),(375,1)}
       228:{1,4,6}:{(177,1),(180,1),(270,1),(277,1),(278,1)}
       229:{2,3,4}:{(178,1),(179,1),(258,1),(279,1),(435,1),(502,1)}
       230:{1,3,5}:{(179,1),(180,1),(277,1),(279,1),(280,1)}
       231:{3,4,6}:{(181,1),(182,1),(191,1),(282,1),(284,1)}
       232:{3,6,7}:{(182,1),(183,1),(283,1),(296,1)}
       233:{3,5,6}:{(182,1),(184,1),(282,1),(283,1),(284,1)}
       234:{2,5,7}:{(183,1),(184,1),(185,1),(283,1)}
       235:{2,4,5,6}:{(184,1),(186,1),(195,1),(284,1),(286,1),(287,1),(290,1),(293,1),(382,1),(388,1),(454,1),(507,1)}
       236:{1,5,6,7}:{(185,1),(187,1),(285,1),(288,1),(302,1),(511,1)}
       237:{1,4,5,7}:{(185,1),(186,1),(188,1),(196,1),(286,1),(288,1),(289,1),(387,1),(460,1),(511,1)}
       238:{1,3,5,6}:{(186,1),(189,1),(197,1),(287,1),(289,1),(290,1),(304,1),(396,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(190,1),(288,1),(291,1),(322,1),(386,1)}
       240:{3,5,7}:{(188,1),(189,1),(198,1),(291,1),(513,1)}
       241:{2,4,6,7}:{(191,1),(192,1),(202,1),(281,1),(292,1),(294,1),(388,1),(523,1)}
       242:{2,5}:{(191,1),(203,1),(282,1)}
       243:{2,3,5,7}:{(192,1),(193,1),(194,1),(204,1),(283,1),(292,1),(294,1),(296,1),(307,1),(389,1),(397,1),(412,1),(479,1),(522,1)}
       244:{2,4,6}:{(193,1),(199,1),(205,1),(284,1),(293,1),(294,1),(295,1),(482,1),(543,1)}
       245:{2,4,7}:{(194,1),(195,1),(196,1),(296,1)}
       246:{3,6}:{(195,1),(200,1),(296,1)}
       247:{1,3,4,7}:{(196,1),(197,1),(198,1),(289,1),(296,1),(298,1),(381,1),(393,1),(460,1),(513,1)}
       248:{2,4,6}:{(197,1),(201,1),(290,1),(297,1),(298,1),(299,1),(394,1)}
       249:{3,4}:{(199,1),(200,1)}
       250:{2,3,5}:{(200,1),(201,1),(297,1),(300,1),(301,1),(510,1)}
       251:{1,4,5}:{(201,1),(299,1),(301,1),(309,1),(398,1)}
       252:{1,5,7}:{(202,1),(203,1),(221,1),(292,1),(302,1),(542,1)}
       253:{1,4,5}:{(203,1),(205,1),(222,1),(293,1),(304,1),(398,1),(542,1)}
       254:{1,4,7}:{(204,1),(205,1),(223,1),(294,1)}
       255:{1,3,4,6}:{(205,1),(207,1),(208,1),(224,1),(295,1),(304,1),(305,1),(306,1),(396,1)}
       256:{1,3,7}:{(206,1),(207,1),(225,1),(296,1),(307,1),(479,1),(513,1)}
       257:{2,3,6}:{(207,1),(209,1),(306,1),(307,1),(308,1),(328,1),(394,1)}
       258:{2,4}:{(208,1),(209,1),(309,1)}
       259:{1,3,5}:{(209,1),(308,1),(309,1),(310,1),(398,1),(402,1)}
       260:{3,5,7}:{(210,1),(211,1),(221,1),(311,1),(312,1),(551,1)}
       261:{4,5}:{(211,1),(213,1)}
       262:{3,5,6,7}:{(212,1),(214,1),(311,1),(314,1),(317,1),(407,1)}
       263:{4,7}:{(212,1),(213,1)}
       264:{3,4,6}:{(213,1),(216,1),(313,1),(315,1),(316,1)}
       265:{2,4,6,7}:{(214,1),(215,1),(217,1),(314,1),(317,1),(320,1),(322,1)}
       266:{3,5,7}:{(215,1),(216,1),(225,1),(315,1),(317,1)}
       267:{2,3,5,6}:{(216,1),(219,1),(226,1),(316,1),(318,1),(319,1),(324,1),(413,1),(473,1)}
       268:{1,3,6,7}:{(217,1),(218,1),(220,1),(317,1),(320,1),(396,1)}
       269:{2,5,7}:{(218,1),(219,1),(227,1),(320,1),(321,1)}
       270:{1,5,6}:{(219,1),(228,1),(321,1),(398,1),(469,1)}
       271:{2,5,6}:{(221,1),(302,1),(311,1),(322,1)}
       272:{2,4,5,7}:{(221,1),(222,1),(223,1),(303,1),(312,1),(322,1),(323,1),(397,1)}
       273:{3,5}:{(222,1),(224,1)}
       274:{3,4,7}:{(223,1),(224,1),(225,1),(323,1),(513,1)}
       275:{2,3,4,6}:{(224,1),(226,1),(229,1),(306,1),(316,1),(324,1),(325,1),(326,1),(413,1),(468,1),(516,1),(541,1)}
       276:{2,3,7}:{(225,1),(226,1),(227,1),(327,1),(479,1)}
       277:{1,3,6}:{(226,1),(228,1),(230,1),(327,1),(328,1)}
       278:{1,4,7}:{(227,1),(228,1),(321,1),(327,1)}
       279:{1,3,4}:{(229,1),(230,1),(309,1),(329,1),(402,1)}
       280:{2,5}:{(230,1),(328,1),(329,1)}
       281:{3,4,6,7}:{(231,1),(232,1),(241,1),(330,1),(333,1),(344,1),(418,1),(429,1),(504,1),(534,1),(535,1)}
       282:{3,5}:{(231,1),(242,1),(331,1)}
       283:{3,5,7}:{(232,1),(233,1),(234,1),(333,1)}
       284:{4,6}:{(233,1),(331,1),(333,1)}
       285:{2,5,6,7}:{(234,1),(236,1),(332,1),(335,1),(341,1),(487,1)}
       286:{2,4,5,7}:{(234,1),(235,1),(237,1),(245,1),(333,1),(335,1),(336,1),(339,1),(421,1),(423,1),(487,1)}
       287:{3,5,6}:{(235,1),(246,1),(334,1),(336,1),(343,1),(429,1)}
       288:{1,4,6,7}:{(236,1),(237,1),(239,1),(335,1),(338,1),(351,1),(428,1)}
       289:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(336,1),(338,1),(339,1)}
       290:{2,5,6}:{(238,1),(248,1),(339,1),(340,1),(353,1),(436,1)}
       291:{3,6,7}:{(239,1),(240,1),(370,1)}
       292:{2,5,7}:{(241,1),(242,1),(252,1),(330,1),(341,1),(536,1)}
       293:{2,4,5}:{(242,1),(244,1),(253,1),(331,1),(343,1),(353,1),(536,1),(549,1)}
       294:{2,4,7}:{(243,1),(244,1),(254,1),(333,1),(344,1),(535,1)}
       295:{3,4,6}:{(244,1),(246,1),(249,1),(343,1),(344,1),(429,1),(448,1),(502,1)}
       296:{3,7}:{(245,1),(246,1)}
       297:{2,3,6}:{(246,1),(248,1),(250,1),(346,1),(347,1),(490,1)}
       298:{2,4,7}:{(247,1),(248,1),(339,1),(346,1),(348,1),(434,1)}
       299:{1,4,6}:{(248,1),(251,1),(340,1),(347,1),(348,1)}
       300:{2,3,4}:{(249,1),(250,1),(258,1),(349,1),(376,1),(527,1)}
       301:{1,3,5}:{(250,1),(251,1),(347,1),(349,1),(350,1)}
       302:{1,5,6}:{(252,1),(271,1),(341,1),(351,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(254,1),(272,1),(342,1),(351,1),(352,1),(437,1)}
       304:{1,3,5}:{(253,1),(255,1),(273,1),(343,1),(353,1)}
       305:{1,3,4,7}:{(254,1),(255,1),(256,1),(274,1),(344,1),(352,1),(354,1)}
       306:{2,4,6}:{(255,1),(257,1),(258,1),(353,1),(354,1),(355,1),(436,1)}
       307:{2,3,7}:{(256,1),(257,1),(354,1),(356,1),(375,1),(434,1)}
       308:{1,3,6}:{(257,1),(259,1),(355,1),(356,1),(357,1)}
       309:{1,4}:{(258,1),(259,1)}
       310:{1,2,5}:{(259,1),(280,1),(350,1),(357,1),(358,1)}
       311:{3,5,6}:{(260,1),(271,1),(359,1),(370,1)}
       312:{4,5,7}:{(260,1),(261,1),(263,1),(359,1),(547,1),(552,1)}
       313:{3,4,5}:{(261,1),(264,1),(273,1),(361,1),(527,1)}
       314:{4,6,7}:{(262,1),(263,1),(359,1),(362,1)}
       315:{3,4,7}:{(263,1),(264,1),(266,1),(364,1)}
       316:{2,4,6}:{(264,1),(267,1),(361,1),(364,1),(365,1)}
       317:{3,6,7}:{(265,1),(266,1),(370,1)}
       318:{2,3,5,7}:{(266,1),(267,1),(269,1),(276,1),(364,1),(366,1),(367,1),(445,1)}
       319:{1,3,5,6}:{(267,1),(270,1),(277,1),(365,1),(367,1),(368,1),(372,1),(448,1),(450,1),(499,1),(533,1)}
       320:{2,6,7}:{(268,1),(269,1),(369,1),(436,1)}
       321:{1,5,7}:{(269,1),(270,1),(278,1),(369,1)}
       322:{2,4,6}:{(271,1),(272,1),(351,1),(359,1),(370,1),(436,1)}
       323:{3,5,7}:{(272,1),(273,1),(274,1),(370,1)}
       324:{2,3,5}:{(273,1),(275,1),(353,1),(361,1),(372,1),(548,1)}
       325:{2,3,4,7}:{(274,1),(275,1),(276,1),(354,1),(364,1),(371,1),(373,1),(495,1),(531,1)}
       326:{1,3,4,6}:{(275,1),(277,1),(279,1),(355,1),(365,1),(372,1),(373,1),(374,1),(440,1),(448,1),(450,1),(498,1),(502,1),(532,1),(534,1)}
       327:{1,3,7}:{(276,1),(277,1),(278,1),(375,1)}
       328:{2,6}:{(277,1),(280,1),(375,1)}
       329:{2,4}:{(279,1),(280,1),(376,1)}
       330:{3,5,7}:{(281,1),(282,1),(292,1),(377,1),(378,1),(544,1)}
       331:{4,5}:{(282,1),(284,1)}
       332:{3,5,6,7}:{(283,1),(285,1),(377,1),(380,1),(383,1),(458,1)}
       333:{4,7}:{(283,1),(284,1)}
       334:{3,4,6}:{(284,1),(287,1),(379,1),(381,1),(382,1)}
       335:{2,4,6,7}:{(285,1),(286,1),(288,1),(380,1),(383,1),(386,1),(388,1)}
       336:{3,5,7}:{(286,1),(287,1),(296,1),(381,1),(383,1)}
       337:{2,3,5,6}:{(287,1),(290,1),(297,1),(382,1),(384,1),(385,1),(390,1),(464,1),(507,1)}
       338:{1,3,6,7}:{(288,1),(289,1),(291,1),(383,1),(386,1),(396,1)}
       339:{2,5,7}:{(289,1),(290,1),(298,1),(386,1),(387,1)}
       340:{1,5,6}:{(290,1),(299,1),(387,1),(398,1),(469,1)}
       341:{2,5,6}:{(292,1),(302,1),(377,1),(388,1)}
       342:{2,4,5,7}:{(292,1),(293,1),(294,1),(303,1),(378,1),(388,1),(389,1),(397,1)}
       343:{3,5}:{(293,1),(295,1)}
       344:{3,4,7}:{(294,1),(295,1),(296,1),(389,1),(479,1)}
       345:{2,3,4,6}:{(295,1),(297,1),(300,1),(306,1),(382,1),(390,1),(391,1),(392,1),(417,1),(464,1),(482,1),(523,1)}
       346:{2,3,7}:{(296,1),(297,1),(298,1),(393,1),(513,1)}
       347:{1,3,6}:{(297,1),(299,1),(301,1),(393,1),(394,1)}
       348:{1,4,7}:{(298,1),(299,1),(387,1),(393,1)}
       349:{1,3,4}:{(300,1),(301,1),(309,1),(395,1),(402,1)}
       350:{2,5}:{(301,1),(394,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(322,1),(388,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(305,1),(323,1),(389,1),(396,1),(397,1)}
       353:{2,5}:{(304,1),(306,1),(398,1)}
       354:{2,4,7}:{(305,1),(306,1),(307,1),(397,1),(399,1)}
       355:{1,4,6}:{(306,1),(308,1),(309,1),(398,1),(399,1),(469,1)}
       356:{1,3,7}:{(307,1),(308,1),(399,1),(401,1)}
       357:{1,2,6}:{(308,1),(310,1),(328,1),(394,1),(401,1)}
       358:{1,2,4}:{(309,1),(310,1),(329,1),(395,1),(402,1)}
       359:{4,6}:{(311,1),(312,1)}
       360:{3,4,5,7}:{(312,1),(313,1),(315,1),(323,1),(404,1),(405,1),(407,1),(539,1),(551,1)}
       361:{2,4,5}:{(313,1),(316,1),(324,1),(406,1),(516,1)}
       362:{4,5,7}:{(314,1),(403,1),(407,1)}
       363:{3,4,6,7}:{(314,1),(315,1),(317,1),(404,1),(407,1),(408,1)}
       364:{2,4,7}:{(315,1),(316,1),(318,1),(409,1)}
       365:{1,4,6}:{(316,1),(319,1),(406,1),(409,1),(410,1),(543,1)}
       366:{2,3,6,7}:{(317,1),(318,1),(320,1),(408,1),(411,1),(413,1)}
       367:{1,3,5,7}:{(318,1),(319,1),(321,1),(327,1),(409,1),(411,1),(412,1),(477,1),(479,1),(522,1)}
       368:{2,5,6}:{(319,1),(328,1),(410,1),(412,1),(415,1),(480,1)}
       369:{1,6,7}:{(320,1),(321,1),(469,1)}
       370:{3,6}:{(322,1),(323,1)}
       371:{2,3,5,7}:{(323,1),(324,1),(325,1),(397,1),(405,1),(413,1),(414,1)}
       372:{1,3,5}:{(324,1),(326,1),(398,1),(406,1),(415,1),(476,1),(542,1),(544,1)}
       373:{1,3,4,7}:{(325,1),(326,1),(327,1),(399,1),(409,1),(414,1),(416,1),(472,1),(479,1),(518,1),(521,1)}
       374:{2,4,6}:{(326,1),(328,1),(329,1),(415,1),(416,1),(417,1),(480,1),(482,1)}
       375:{2,7}:{(327,1),(328,1)}
       376:{2,3}:{(329,1),(402,1)}
       377:{3,5,6}:{(330,1),(341,1),(418,1),(429,1)}
       378:{4,5,7}:{(330,1),(331,1),(333,1),(418,1),(535,1),(549,1)}
       379:{3,4,5}:{(331,1),(334,1),(343,1),(420,1),(502,1)}
       380:{4,6,7}:{(332,1),(333,1),(418,1),(421,1)}
       381:{3,4,7}:{(333,1),(334,1),(336,1),(423,1)}
       382:{2,4,6}:{(334,1),(337,1),(420,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(336,1),(429,1)}
       384:{2,3,5,7}:{(336,1),(337,1),(339,1),(346,1),(423,1),(425,1),(426,1),(487,1)}
       385:{1,3,5,6}:{(337,1),(340,1),(347,1),(424,1),(426,1),(427,1),(431,1),(490,1),(492,1),(524,1),(545,1)}
       386:{2,6,7}:{(338,1),(339,1),(428,1),(436,1)}
       387:{1,5,7}:{(339,1),(340,1),(348,1),(428,1)}
       388:{2,4,6}:{(341,1),(342,1),(351,1),(418,1),(429,1),(436,1)}
       389:{3,5,7}:{(342,1),(343,1),(344,1),(429,1)}
       390:{2,3,5}:{(343,1),(345,1),(353,1),(420,1),(431,1),(536,1)}
       391:{2,3,4,7}:{(344,1),(345,1),(346,1),(354,1),(423,1),(430,1),(432,1),(453,1),(506,1)}
       392:{1,3,4,6}:{(345,1),(347,1),(349,1),(355,1),(424,1),(431,1),(432,1),(433,1),(440,1),(490,1),(492,1),(498,1),(527,1),(532,1),(546,1)}
       393:{1,3,7}:{(346,1),(347,1),(348,1),(434,1)}
       394:{2,6}:{(347,1),(350,1),(434,1)}
       395:{2,4}:{(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(370,1),(429,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(354,1),(436,1),(437,1)}
       398:{1,5}:{(353,1),(355,1)}
       399:{1,4,7}:{(354,1),(355,1),(356,1),(437,1)}
       400:{1,2,4,6}:{(355,1),(357,1),(358,1),(374,1),(433,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       401:{1,2,7}:{(356,1),(357,1),(375,1),(434,1)}
       402:{1,3}:{(358,1),(376,1),(435,1)}
       403:{4,5,6}:{(359,1),(362,1),(441,1),(552,1)}
       404:{3,4,6}:{(359,1),(360,1),(370,1),(441,1),(442,1)}
       405:{2,4,5,7}:{(360,1),(361,1),(364,1),(371,1),(442,1),(443,1),(445,1),(531,1),(548,1)}
       406:{1,4,5}:{(361,1),(365,1),(372,1),(444,1),(498,1),(549,1)}
       407:{3,5,7}:{(362,1),(363,1),(441,1),(445,1)}
       408:{2,4,6,7}:{(363,1),(364,1),(366,1),(442,1),(445,1),(446,1)}
       409:{1,4,7}:{(364,1),(365,1),(367,1),(447,1),(535,1)}
       410:{2,4,6}:{(365,1),(368,1),(444,1),(447,1),(448,1)}
       411:{1,3,6,7}:{(366,1),(367,1),(369,1),(446,1),(449,1),(450,1),(504,1)}
       412:{2,5,7}:{(367,1),(368,1),(375,1),(447,1),(449,1)}
       413:{2,3,6}:{(370,1),(371,1),(436,1),(442,1),(450,1)}
       414:{1,3,5,7}:{(371,1),(372,1),(373,1),(437,1),(443,1),(450,1),(451,1),(501,1)}
       415:{2,5}:{(372,1),(374,1)}
       416:{2,4,7}:{(373,1),(374,1),(375,1),(451,1),(453,1)}
       417:{2,3,6}:{(374,1),(376,1),(440,1),(448,1),(452,1),(453,1)}
       418:{4,6}:{(377,1),(378,1)}
       419:{3,4,5,7}:{(378,1),(379,1),(381,1),(389,1),(455,1),(456,1),(458,1),(521,1),(544,1)}
       420:{2,4,5}:{(379,1),(382,1),(390,1),(457,1),(482,1)}
       421:{4,5,7}:{(380,1),(454,1),(458,1)}
       422:{3,4,6,7}:{(380,1),(381,1),(383,1),(455,1),(458,1),(459,1)}
       423:{2,4,7}:{(381,1),(382,1),(384,1),(460,1)}
       424:{1,4,6}:{(382,1),(385,1),(457,1),(460,1),(461,1),(550,1)}
       425:{2,3,6,7}:{(383,1),(384,1),(386,1),(459,1),(462,1),(464,1)}
       426:{1,3,5,7}:{(384,1),(385,1),(387,1),(393,1),(460,1),(462,1),(463,1),(511,1),(513,1),(540,1)}
       427:{2,5,6}:{(385,1),(394,1),(461,1),(463,1),(466,1),(514,1)}
       428:{1,6,7}:{(386,1),(387,1),(469,1)}
       429:{3,6}:{(388,1),(389,1)}
       430:{2,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(456,1),(464,1),(465,1)}
       431:{1,3,5}:{(390,1),(392,1),(398,1),(457,1),(466,1),(510,1),(542,1),(551,1)}
       432:{1,3,4,7}:{(391,1),(392,1),(393,1),(399,1),(460,1),(465,1),(467,1),(472,1),(513,1),(518,1),(539,1)}
       433:{2,4,6}:{(392,1),(394,1),(395,1),(466,1),(467,1),(468,1),(514,1),(516,1)}
       434:{2,7}:{(393,1),(394,1)}
       435:{2,3}:{(395,1),(402,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(399,1),(469,1)}
       438:{1,2,5}:{(398,1),(400,1),(415,1),(466,1),(471,1),(542,1)}
       439:{1,2,4,7}:{(399,1),(400,1),(401,1),(416,1),(467,1),(470,1),(472,1),(518,1)}
       440:{1,3,6}:{(400,1),(402,1),(417,1),(468,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(407,1),(473,1),(551,1)}
       442:{2,4,6}:{(404,1),(405,1),(413,1),(473,1),(474,1)}
       443:{1,4,5,7}:{(405,1),(406,1),(409,1),(414,1),(474,1),(475,1),(477,1),(518,1),(542,1)}
       444:{2,4,5}:{(406,1),(410,1),(415,1),(476,1),(482,1)}
       445:{2,5,7}:{(407,1),(408,1),(473,1),(477,1)}
       446:{1,4,6,7}:{(408,1),(409,1),(411,1),(474,1),(477,1),(478,1)}
       447:{2,4,7}:{(409,1),(410,1),(412,1),(479,1)}
       448:{3,6}:{(410,1),(476,1),(479,1)}
       449:{2,6,7}:{(411,1),(412,1),(480,1)}
       450:{1,3,6}:{(413,1),(414,1),(469,1),(474,1),(480,1),(520,1)}
       451:{2,5,7}:{(414,1),(415,1),(416,1),(480,1)}
       452:{2,3,5}:{(415,1),(417,1),(471,1),(476,1),(482,1)}
       453:{2,3,7}:{(416,1),(417,1),(472,1),(479,1)}
       454:{4,5,6}:{(418,1),(421,1),(483,1),(549,1)}
       455:{3,4,6}:{(418,1),(419,1),(429,1),(483,1),(484,1)}
       456:{2,4,5,7}:{(419,1),(420,1),(423,1),(430,1),(484,1),(485,1),(487,1),(506,1),(536,1)}
       457:{1,4,5}:{(420,1),(424,1),(431,1),(486,1),(498,1),(552,1)}
       458:{3,5,7}:{(421,1),(422,1),(483,1),(487,1)}
       459:{2,4,6,7}:{(422,1),(423,1),(425,1),(484,1),(487,1),(488,1)}
       460:{1,4,7}:{(423,1),(424,1),(426,1),(489,1),(547,1)}
       461:{2,4,6}:{(424,1),(427,1),(486,1),(489,1),(490,1)}
       462:{1,3,6,7}:{(425,1),(426,1),(428,1),(488,1),(491,1),(492,1),(529,1)}
       463:{2,5,7}:{(426,1),(427,1),(434,1),(489,1),(491,1)}
       464:{2,3,6}:{(429,1),(430,1),(436,1),(484,1),(492,1)}
       465:{1,3,5,7}:{(430,1),(431,1),(432,1),(437,1),(485,1),(492,1),(493,1),(526,1)}
       466:{2,5}:{(431,1),(433,1)}
       467:{2,4,7}:{(432,1),(433,1),(434,1),(493,1),(495,1)}
       468:{2,3,6}:{(433,1),(435,1),(440,1),(490,1),(494,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(451,1),(493,1),(496,1),(497,1)}
       471:{1,3,5}:{(438,1),(440,1),(452,1),(494,1),(498,1)}
       472:{1,3,7}:{(439,1),(440,1),(453,1),(495,1)}
       473:{2,5,6}:{(441,1),(442,1),(445,1),(499,1),(548,1)}
       474:{1,4,6}:{(442,1),(443,1),(450,1),(499,1),(500,1)}
       475:{2,4,5,7}:{(443,1),(444,1),(447,1),(451,1),(500,1),(501,1),(503,1),(506,1),(535,1),(536,1),(549,1)}
       476:{3,5}:{(444,1),(448,1),(502,1)}
       477:{1,5,7}:{(445,1),(446,1),(499,1),(503,1)}
       478:{2,4,6,7}:{(446,1),(447,1),(449,1),(500,1),(503,1),(504,1),(535,1)}
       479:{3,7}:{(447,1),(448,1)}
       480:{2,6}:{(450,1),(451,1)}
       481:{2,3,5,7}:{(451,1),(452,1),(453,1),(497,1),(501,1),(505,1),(506,1),(536,1)}
       482:{2,4}:{(452,1),(498,1),(502,1)}
       483:{3,5,6}:{(454,1),(455,1),(458,1),(507,1),(544,1)}
       484:{2,4,6}:{(455,1),(456,1),(464,1),(507,1),(508,1)}
       485:{1,4,5,7}:{(456,1),(457,1),(460,1),(465,1),(508,1),(509,1),(511,1),(518,1),(542,1)}
       486:{2,4,5}:{(457,1),(461,1),(466,1),(510,1),(516,1)}
       487:{2,5,7}:{(458,1),(459,1),(507,1),(511,1)}
       488:{1,4,6,7}:{(459,1),(460,1),(462,1),(508,1),(511,1),(512,1)}
       489:{2,4,7}:{(460,1),(461,1),(463,1),(513,1)}
       490:{3,6}:{(461,1),(510,1),(513,1)}
       491:{2,6,7}:{(462,1),(463,1),(514,1)}
       492:{1,3,6}:{(464,1),(465,1),(469,1),(508,1),(514,1),(538,1)}
       493:{2,5,7}:{(465,1),(466,1),(467,1),(514,1)}
       494:{2,3,5}:{(466,1),(468,1),(471,1),(510,1),(516,1)}
       495:{2,3,7}:{(467,1),(468,1),(472,1),(513,1)}
       496:{1,2,6}:{(469,1),(470,1),(480,1),(514,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(481,1),(515,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(471,1),(482,1),(516,1)}
       499:{1,5,6}:{(473,1),(474,1),(477,1),(519,1),(542,1)}
       500:{2,4,6}:{(474,1),(475,1),(480,1),(519,1),(520,1),(543,1)}
       501:{3,5,7}:{(475,1),(476,1),(479,1),(520,1),(521,1),(544,1)}
       502:{3,4}:{(476,1),(482,1)}
       503:{2,5,7}:{(477,1),(478,1),(519,1),(522,1)}
       504:{3,6,7}:{(478,1),(479,1),(520,1),(522,1)}
       505:{2,3,6}:{(480,1),(481,1),(517,1),(520,1),(523,1)}
       506:{2,4,7}:{(481,1),(482,1),(518,1),(521,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(487,1),(524,1),(536,1)}
       508:{1,4,6}:{(484,1),(485,1),(492,1),(524,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(486,1),(489,1),(493,1),(525,1),(526,1),(528,1),(531,1),(547,1),(548,1),(552,1)}
       510:{3,5}:{(486,1),(490,1),(527,1)}
       511:{1,5,7}:{(487,1),(488,1),(524,1),(528,1)}
       512:{2,4,6,7}:{(488,1),(489,1),(491,1),(525,1),(528,1),(529,1),(547,1)}
       513:{3,7}:{(489,1),(490,1)}
       514:{2,6}:{(492,1),(493,1)}
       515:{2,3,5,7}:{(493,1),(494,1),(495,1),(497,1),(526,1),(530,1),(531,1),(548,1)}
       516:{2,4}:{(494,1),(498,1),(527,1)}
       517:{1,3,6}:{(496,1),(497,1),(505,1),(530,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(506,1),(531,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(503,1),(533,1),(536,1)}
       520:{3,6}:{(500,1),(501,1)}
       521:{3,4,7}:{(501,1),(502,1),(506,1),(534,1),(535,1)}
       522:{3,5,7}:{(503,1),(504,1),(533,1),(535,1)}
       523:{2,4,6}:{(505,1),(506,1),(532,1),(534,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(511,1),(537,1),(542,1)}
       525:{2,4,6}:{(508,1),(509,1),(514,1),(537,1),(538,1),(550,1)}
       526:{3,5,7}:{(509,1),(510,1),(513,1),(538,1),(539,1),(551,1)}
       527:{3,4}:{(510,1),(516,1)}
       528:{2,5,7}:{(511,1),(512,1),(537,1),(540,1)}
       529:{3,6,7}:{(512,1),(513,1),(538,1),(540,1)}
       530:{2,3,6}:{(514,1),(515,1),(517,1),(538,1),(541,1)}
       531:{2,4,7}:{(515,1),(516,1),(518,1),(539,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(522,1),(543,1),(544,1)}
       534:{3,4,6}:{(520,1),(521,1),(523,1),(543,1),(544,1)}
       535:{4,7}:{(522,1),(543,1)}
       536:{2,5}:{(523,1),(542,1),(544,1)}
       537:{2,5,6}:{(524,1),(525,1),(528,1),(545,1),(548,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(527,1),(531,1),(546,1),(547,1)}
       540:{3,5,7}:{(528,1),(529,1),(545,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{4,6}:{(533,1),(535,1),(549,1)}
       544:{3,5}:{(534,1),(536,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(550,1),(551,1)}
       547:{4,7}:{(540,1),(550,1)}
       548:{2,5}:{(541,1),(542,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(547,1),(552,1)}
       551:{3,5}:{(546,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 931 :   0:{2,3,4}:{(2,1),(3,1),(49,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(133,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(31,1),(73,1),(79,1)}
         4:{2,3,4}:{(12,1),(13,1),(23,1),(61,1)}
         5:{4,5,6}:{(15,1),(16,1),(140,1),(151,1)}
         6:{3,4,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{2,4,5}:{(1,1),(2,1),(17,1),(19,1),(91,1),(122,1)}
         8:{2,3,6}:{(2,1),(17,1),(20,1),(21,1)}
         9:{1,3,5}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1)}
        10:{2,4}:{(3,1),(22,1),(23,1)}
        11:{3,4,5}:{(25,1),(26,1),(79,1),(114,1)}
        12:{2,3,5}:{(4,1),(26,1),(27,1),(28,1)}
        13:{1,3,4}:{(4,1),(28,1),(29,1),(31,1),(73,1),(106,1)}
        14:{1,2,4}:{(10,1),(29,1),(30,1),(31,1),(73,1)}
        15:{3,5,6}:{(5,1),(6,1),(32,1),(33,1),(133,1),(149,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(8,1),(32,1),(35,1),(36,1)}
        18:{3,4,7}:{(6,1),(33,1),(36,1)}
        19:{1,4,5}:{(7,1),(9,1),(35,1),(37,1),(73,1),(109,1)}
        20:{1,3,6}:{(8,1),(9,1),(35,1),(38,1),(39,1),(77,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{2,5}:{(9,1),(10,1),(38,1)}
        23:{2,3}:{(10,1),(31,1)}
        24:{4,5,6}:{(41,1),(42,1),(125,1),(145,1)}
        25:{3,4,6}:{(11,1),(41,1),(43,1),(44,1)}
        26:{2,4,5}:{(11,1),(12,1),(43,1),(45,1),(61,1),(99,1)}
        27:{2,3,6}:{(12,1),(43,1),(46,1),(47,1)}
        28:{1,3,5}:{(12,1),(13,1),(45,1),(46,1),(48,1),(88,1)}
        29:{2,4}:{(13,1),(48,1),(49,1)}
        30:{1,2,5}:{(14,1),(22,1),(48,1),(50,1),(51,1)}
        31:{1,3}:{(14,1),(23,1),(49,1)}
        32:{2,5,6}:{(15,1),(17,1),(52,1),(53,1),(122,1),(144,1)}
        33:{3,5,7}:{(15,1),(16,1),(18,1),(53,1),(54,1)}
        34:{4,6,7}:{(16,1),(54,1),(55,1),(151,1)}
        35:{1,4,6}:{(17,1),(19,1),(20,1),(52,1),(56,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(21,1),(53,1),(57,1)}
        37:{2,4,5}:{(19,1),(22,1),(56,1),(58,1),(61,1),(99,1),(125,1)}
        38:{2,6}:{(20,1),(22,1),(60,1)}
        39:{1,3,7}:{(20,1),(21,1),(57,1),(60,1),(98,1)}
        40:{2,3,5}:{(22,1),(23,1),(51,1),(58,1),(59,1),(61,1),(99,1)}
        41:{3,5,6}:{(24,1),(25,1),(62,1),(63,1),(114,1),(139,1)}
        42:{4,5,7}:{(24,1),(63,1),(64,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(62,1),(65,1),(66,1)}
        44:{3,4,7}:{(25,1),(63,1),(66,1)}
        45:{1,4,5}:{(26,1),(28,1),(65,1),(67,1),(73,1),(109,1)}
        46:{1,3,6}:{(27,1),(28,1),(65,1),(68,1),(69,1),(104,1)}
        47:{2,3,7}:{(27,1),(66,1),(69,1)}
        48:{2,5}:{(28,1),(29,1),(68,1)}
        49:{2,3}:{(29,1),(31,1)}
        50:{1,2,6}:{(30,1),(38,1),(68,1),(71,1),(72,1)}
        51:{1,3,5}:{(30,1),(31,1),(40,1),(70,1),(71,1),(73,1),(109,1)}
        52:{1,5,6}:{(32,1),(35,1),(74,1),(75,1),(109,1),(136,1)}
        53:{2,5,7}:{(32,1),(33,1),(36,1),(75,1),(76,1)}
        54:{3,6,7}:{(33,1),(34,1),(76,1),(149,1)}
        55:{5,6,7}:{(34,1),(153,1)}
        56:{2,4,6}:{(35,1),(37,1),(38,1),(74,1),(77,1),(78,1),(111,1)}
        57:{1,4,7}:{(35,1),(36,1),(39,1),(75,1),(78,1)}
        58:{3,5}:{(37,1),(77,1),(79,1)}
        59:{2,3,6}:{(38,1),(40,1),(71,1),(77,1),(80,1),(81,1)}
        60:{2,7}:{(38,1),(39,1)}
        61:{2,4}:{(40,1),(73,1),(79,1)}
        62:{2,5,6}:{(41,1),(43,1),(82,1),(83,1),(99,1),(129,1)}
        63:{3,5,7}:{(41,1),(42,1),(44,1),(83,1),(84,1)}
        64:{4,6,7}:{(42,1),(84,1),(85,1),(145,1)}
        65:{1,4,6}:{(43,1),(45,1),(46,1),(82,1),(86,1),(87,1)}
        66:{2,4,7}:{(43,1),(44,1),(47,1),(83,1),(87,1)}
        67:{2,4,5}:{(45,1),(48,1),(86,1),(88,1),(91,1),(122,1),(140,1)}
        68:{2,6}:{(46,1),(48,1),(90,1)}
        69:{1,3,7}:{(46,1),(47,1),(87,1),(90,1),(121,1)}
        70:{2,3,5}:{(48,1),(49,1),(51,1),(88,1),(89,1),(91,1),(122,1)}
        71:{1,3,6}:{(50,1),(51,1),(59,1),(89,1),(92,1),(93,1)}
        72:{1,2,7}:{(50,1),(60,1),(90,1),(93,1)}
        73:{1,4}:{(51,1),(61,1),(91,1)}
        74:{2,5,6}:{(52,1),(56,1),(94,1),(95,1),(99,1),(129,1)}
        75:{1,5,7}:{(52,1),(53,1),(57,1),(95,1),(96,1)}
        76:{2,6,7}:{(53,1),(54,1),(96,1),(144,1)}
        77:{3,6}:{(56,1),(58,1),(98,1)}
        78:{2,4,7}:{(56,1),(57,1),(60,1),(95,1),(98,1),(126,1)}
        79:{3,4}:{(58,1),(61,1)}
        80:{2,4,6}:{(59,1),(61,1),(92,1),(97,1),(99,1),(100,1),(129,1)}
        81:{2,3,7}:{(59,1),(60,1),(93,1),(98,1),(100,1)}
        82:{1,5,6}:{(62,1),(65,1),(101,1),(102,1),(109,1),(136,1)}
        83:{2,5,7}:{(62,1),(63,1),(66,1),(102,1),(103,1)}
        84:{3,6,7}:{(63,1),(64,1),(103,1),(139,1)}
        85:{5,6,7}:{(64,1),(150,1)}
        86:{2,4,6}:{(65,1),(67,1),(68,1),(101,1),(104,1),(105,1),(130,1)}
        87:{1,4,7}:{(65,1),(66,1),(69,1),(102,1),(105,1)}
        88:{3,5}:{(67,1),(104,1),(106,1)}
        89:{2,3,6}:{(68,1),(70,1),(71,1),(104,1),(107,1),(108,1)}
        90:{2,7}:{(68,1),(69,1)}
        91:{2,4}:{(70,1),(73,1),(106,1)}
        92:{1,4,6}:{(71,1),(73,1),(80,1),(107,1),(109,1),(110,1),(136,1)}
        93:{1,3,7}:{(71,1),(72,1),(81,1),(108,1),(110,1)}
        94:{3,5,6}:{(74,1),(77,1),(111,1),(112,1),(114,1),(139,1),(150,1)}
        95:{2,5,7}:{(74,1),(75,1),(78,1),(112,1),(113,1)}
        96:{1,6,7}:{(75,1),(76,1),(113,1),(136,1)}
        97:{3,4,6}:{(77,1),(79,1),(80,1),(111,1),(114,1),(115,1),(139,1)}
        98:{3,7}:{(77,1),(78,1)}
        99:{2,5}:{(80,1),(109,1),(114,1)}
       100:{2,4,7}:{(80,1),(81,1),(110,1),(115,1),(116,1)}
       101:{2,5,6}:{(82,1),(86,1),(117,1),(118,1),(122,1),(144,1)}
       102:{1,5,7}:{(82,1),(83,1),(87,1),(118,1),(119,1)}
       103:{2,6,7}:{(83,1),(84,1),(119,1),(129,1)}
       104:{3,6}:{(86,1),(88,1),(121,1)}
       105:{2,4,7}:{(86,1),(87,1),(90,1),(118,1),(121,1),(141,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,4,6}:{(89,1),(91,1),(92,1),(120,1),(122,1),(123,1),(144,1)}
       108:{2,3,7}:{(89,1),(90,1),(93,1),(121,1),(123,1)}
       109:{1,5}:{(92,1),(99,1),(122,1)}
       110:{1,4,7}:{(92,1),(93,1),(100,1),(123,1),(124,1)}
       111:{4,6}:{(94,1),(125,1),(126,1)}
       112:{3,5,7}:{(94,1),(95,1),(98,1),(126,1),(127,1),(146,1)}
       113:{2,6,7}:{(95,1),(96,1),(127,1),(129,1)}
       114:{3,5}:{(97,1),(99,1),(125,1)}
       115:{3,4,7}:{(97,1),(98,1),(100,1),(126,1),(128,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{3,5,6}:{(101,1),(104,1),(130,1),(131,1),(133,1),(149,1),(153,1)}
       118:{2,5,7}:{(101,1),(102,1),(105,1),(131,1),(132,1)}
       119:{1,6,7}:{(102,1),(103,1),(132,1),(136,1)}
       120:{3,4,6}:{(104,1),(106,1),(107,1),(130,1),(133,1),(134,1),(149,1)}
       121:{3,7}:{(104,1),(105,1)}
       122:{2,5}:{(107,1),(109,1),(133,1)}
       123:{2,4,7}:{(107,1),(108,1),(110,1),(134,1),(135,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{4,5}:{(111,1),(114,1)}
       126:{4,7}:{(111,1),(112,1)}
       127:{3,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(137,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{4,6}:{(117,1),(140,1),(141,1)}
       131:{3,5,7}:{(117,1),(118,1),(121,1),(141,1),(142,1),(152,1)}
       132:{2,6,7}:{(118,1),(119,1),(142,1),(144,1)}
       133:{3,5}:{(120,1),(122,1),(140,1)}
       134:{3,4,7}:{(120,1),(121,1),(123,1),(141,1),(143,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,5,7}:{(125,1),(126,1),(128,1),(145,1),(146,1)}
       138:{4,6,7}:{(126,1),(127,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(145,1)}
       140:{4,5}:{(130,1),(133,1)}
       141:{4,7}:{(130,1),(131,1)}
       142:{3,6,7}:{(131,1),(132,1),(148,1),(149,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(147,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{4,6}:{(137,1),(139,1),(150,1)}
       146:{5,7}:{(138,1),(150,1)}
       147:{4,5,7}:{(140,1),(141,1),(143,1),(151,1),(152,1)}
       148:{4,6,7}:{(141,1),(142,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(151,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(149,1),(153,1)}
       152:{5,7}:{(148,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 932 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 933 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(30,1),(31,1),(69,1),(72,1),(83,1),(88,1),(122,1),(129,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(21,1),(54,1),(59,1),(63,1),(93,1),(99,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(46,1),(91,1),(150,1),(158,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(129,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(119,1),(128,1),(185,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(72,1),(121,1)}
         7:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(46,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(4,1),(17,1),(18,1),(49,1),(52,1),(54,1),(93,1),(148,1),(159,1),(160,1),(164,1),(194,1),(209,1),(233,1),(241,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(24,1),(59,1),(100,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(158,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(54,1),(98,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(46,1),(97,1),(150,1)}
        15:{1,3,5,6,7}:{(7,1),(9,1),(28,1),(29,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(10,1),(27,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(31,1),(34,1),(74,1),(130,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(12,1),(32,1),(34,1),(71,1),(119,1),(173,1),(185,1),(223,1),(239,1)}
        19:{2,4,5,6}:{(10,1),(27,1),(36,1),(37,1),(80,1),(121,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(33,1),(41,1),(42,1),(82,1),(86,1),(126,1),(129,1),(144,1),(180,1),(187,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(34,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(67,1),(77,1),(89,1),(117,1),(128,1),(136,1),(172,1),(190,1),(213,1),(225,1)}
        27:{2,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(91,1),(194,1)}
        28:{2,5,6,7}:{(15,1),(20,1),(47,1),(91,1),(148,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(21,1),(45,1),(47,1)}
        30:{3,4,6,7}:{(16,1),(22,1),(46,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(100,1),(148,1),(153,1),(204,1)}
        32:{1,2,5,6}:{(18,1),(20,1),(51,1),(52,1),(95,1),(108,1),(158,1),(160,1),(167,1),(206,1),(207,1),(231,1)}
        33:{1,3,4,6,7}:{(17,1),(23,1),(49,1),(53,1),(54,1),(97,1),(99,1),(102,1),(153,1),(155,1),(159,1),(202,1),(209,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(24,1),(50,1),(51,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(25,1),(52,1),(54,1),(55,1),(65,1),(96,1),(98,1),(104,1),(116,1),(158,1),(163,1),(164,1),(194,1),(203,1),(207,1),(210,1),(229,1),(234,1),(241,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(45,1),(56,1),(57,1),(98,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(46,1),(150,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(51,1),(58,1),(59,1),(100,1),(110,1),(158,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(53,1),(61,1),(62,1),(110,1),(158,1),(168,1),(205,1)}
        42:{2,4,7}:{(24,1),(54,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(91,1),(104,1),(116,1),(146,1),(158,1),(165,1),(194,1),(210,1)}
        45:{1,4,5,7}:{(27,1),(29,1),(36,1),(66,1),(67,1),(119,1),(172,1)}
        46:{3,5,7}:{(27,1),(30,1),(37,1),(213,1)}
        47:{2,4,6,7}:{(28,1),(29,1),(39,1),(66,1),(68,1)}
        48:{1,3,4,6,7}:{(29,1),(30,1),(40,1),(67,1),(68,1),(69,1),(117,1),(120,1),(172,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(33,1),(71,1),(72,1),(124,1),(129,1),(182,1),(222,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(70,1),(71,1),(72,1),(125,1),(173,1),(213,1)}
        51:{1,3,5,6}:{(32,1),(34,1),(38,1),(70,1),(73,1),(74,1),(128,1),(130,1),(185,1),(224,1)}
        52:{1,2,4,6}:{(32,1),(35,1),(39,1),(73,1),(74,1),(84,1),(124,1),(129,1),(143,1),(188,1),(191,1),(222,1),(237,1)}
        53:{1,3,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(125,1),(128,1),(185,1),(223,1)}
        54:{1,4,7}:{(34,1),(42,1),(72,1),(73,1)}
        55:{1,3,5,7}:{(35,1),(43,1),(74,1),(77,1),(78,1),(125,1),(128,1),(189,1),(213,1),(224,1),(225,1),(238,1),(244,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(66,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(67,1),(79,1),(80,1),(128,1)}
        58:{2,4,6}:{(38,1),(42,1),(73,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(75,1),(86,1),(140,1),(180,1),(184,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(76,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(213,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(119,1),(134,1),(172,1),(185,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(47,1),(56,1),(90,1),(91,1),(146,1)}
        67:{1,3,5,7}:{(45,1),(46,1),(48,1),(57,1),(90,1),(91,1)}
        68:{3,6,7}:{(47,1),(59,1),(90,1)}
        69:{2,4,6,7}:{(48,1),(60,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,3,5,6}:{(50,1),(51,1),(94,1),(95,1),(100,1),(150,1),(153,1),(158,1),(167,1),(211,1),(212,1)}
        71:{2,5,7}:{(49,1),(53,1),(95,1),(158,1)}
        72:{2,4,7}:{(50,1),(54,1),(94,1),(97,1)}
        73:{1,4,6}:{(51,1),(54,1),(58,1),(94,1),(98,1),(234,1)}
        74:{1,3,6}:{(52,1),(55,1),(59,1),(100,1),(153,1),(211,1),(242,1)}
        75:{1,3,5,6}:{(53,1),(61,1),(95,1),(102,1),(153,1),(202,1),(206,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(62,1),(96,1),(98,1),(102,1)}
        77:{1,3,4,7}:{(54,1),(55,1),(63,1),(97,1),(99,1),(104,1),(234,1),(235,1),(243,1)}
        78:{2,3,5,7}:{(55,1),(100,1),(104,1),(105,1),(116,1),(158,1),(171,1),(203,1),(204,1),(212,1),(232,1)}
        79:{3,5,6}:{(56,1),(59,1),(90,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(91,1),(108,1),(158,1)}
        81:{2,4,5}:{(58,1),(98,1),(110,1),(158,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(101,1),(113,1),(168,1),(201,1),(205,1)}
        86:{2,4,6}:{(61,1),(62,1),(102,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(104,1),(111,1),(115,1),(146,1),(204,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{3,5,7}:{(66,1),(68,1),(79,1),(117,1)}
        91:{2,5,7}:{(67,1),(69,1),(80,1),(119,1)}
        92:{2,3,6,7}:{(68,1),(69,1),(83,1),(118,1),(120,1),(213,1)}
        93:{1,4,6,7}:{(69,1),(84,1),(119,1),(120,1),(172,1)}
        94:{2,4,6}:{(70,1),(72,1),(73,1),(121,1),(122,1),(226,1)}
        95:{2,5,6}:{(71,1),(75,1),(124,1),(222,1)}
        96:{2,4,5,7}:{(71,1),(72,1),(76,1),(121,1),(124,1),(125,1)}
        97:{3,4,7}:{(72,1),(122,1),(125,1),(213,1)}
        98:{1,4,5}:{(73,1),(81,1),(121,1),(128,1),(185,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(77,1),(82,1),(122,1),(128,1),(129,1)}
       100:{2,3,6}:{(74,1),(78,1),(129,1),(130,1),(143,1),(222,1)}
       101:{1,3,5,6,7}:{(75,1),(85,1),(123,1),(131,1),(179,1),(183,1),(221,1),(223,1)}
       102:{1,4,6}:{(75,1),(76,1),(86,1),(124,1)}
       103:{1,3,4,5,7}:{(76,1),(77,1),(87,1),(125,1),(128,1),(132,1),(133,1),(174,1),(181,1),(183,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       104:{2,4,7}:{(77,1),(78,1),(129,1),(134,1),(226,1),(240,1)}
       105:{1,3,5,7}:{(78,1),(130,1),(134,1),(135,1),(185,1),(189,1),(224,1)}
       106:{3,4,6}:{(79,1),(117,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(118,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(119,1),(185,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(127,1),(139,1),(140,1),(184,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(129,1),(137,1),(141,1),(142,1),(220,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(131,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(134,1),(142,1),(145,1),(172,1),(189,1),(213,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{3,4,7}:{(90,1),(106,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(107,1),(146,1),(147,1)}
       119:{1,5,7}:{(91,1),(93,1),(108,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(112,1),(147,1),(148,1)}
       121:{2,4,5}:{(94,1),(98,1),(150,1),(158,1)}
       122:{3,4,6}:{(94,1),(97,1),(150,1),(153,1),(211,1),(235,1)}
       123:{2,5,6,7}:{(95,1),(101,1),(152,1),(205,1),(233,1)}
       124:{2,4,6}:{(95,1),(96,1),(102,1),(153,1)}
       125:{3,5,7}:{(96,1),(97,1),(150,1),(153,1)}
       126:{2,3,4,7}:{(97,1),(104,1),(151,1),(154,1),(155,1),(171,1),(227,1),(243,1)}
       127:{1,4,5,6}:{(98,1),(102,1),(109,1),(149,1),(156,1),(157,1),(206,1),(228,1)}
       128:{1,3,5}:{(98,1),(99,1),(110,1),(150,1),(158,1)}
       129:{2,4,6}:{(99,1),(100,1),(104,1),(158,1),(159,1)}
       130:{1,3,6}:{(100,1),(105,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(113,1),(152,1),(156,1)}
       132:{1,3,4,6}:{(102,1),(103,1),(114,1),(153,1),(157,1),(162,1),(195,1),(202,1),(228,1),(242,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(154,1),(158,1),(162,1),(163,1),(196,1),(203,1),(205,1),(227,1),(229,1),(241,1)}
       134:{1,4,7}:{(104,1),(105,1),(159,1),(234,1)}
       135:{1,2,5,7}:{(105,1),(116,1),(160,1),(164,1),(203,1),(207,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(146,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(147,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(156,1),(168,1),(205,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(158,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(159,1),(166,1),(169,1),(170,1),(208,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,7}:{(117,1),(118,1),(137,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(138,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(120,1),(143,1),(173,1)}
       149:{2,4,5,6}:{(121,1),(124,1),(127,1),(175,1),(176,1),(184,1),(215,1)}
       150:{3,5}:{(121,1),(122,1)}
       151:{2,3,4,6}:{(122,1),(126,1),(129,1),(177,1),(178,1),(180,1),(193,1),(215,1),(226,1)}
       152:{2,4,6,7}:{(123,1),(124,1),(131,1),(175,1),(179,1)}
       153:{3,6}:{(124,1),(125,1)}
       154:{2,3,5,7}:{(125,1),(126,1),(133,1),(177,1),(180,1),(181,1),(238,1),(244,1)}
       155:{1,3,4,7}:{(126,1),(134,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(131,1),(139,1),(175,1),(183,1),(223,1),(236,1)}
       157:{1,3,5,6}:{(127,1),(128,1),(132,1),(140,1),(176,1),(183,1),(184,1)}
       158:{2,5}:{(128,1),(129,1),(185,1)}
       159:{1,4,6}:{(129,1),(130,1),(134,1),(185,1)}
       160:{1,2,6}:{(130,1),(135,1),(143,1),(222,1)}
       161:{1,3,4,6,7}:{(131,1),(132,1),(144,1),(179,1),(183,1),(187,1),(214,1),(221,1),(236,1),(244,1)}
       162:{2,4,6}:{(132,1),(133,1),(180,1),(184,1),(188,1),(222,1)}
       163:{1,4,5,7}:{(133,1),(134,1),(181,1),(185,1),(188,1),(216,1),(223,1),(236,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(145,1),(182,1),(186,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(172,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(173,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(185,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(189,1),(193,1),(213,1)}
       172:{1,4,7}:{(146,1),(147,1),(166,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(167,1),(194,1)}
       174:{3,4,5}:{(150,1),(195,1),(196,1),(235,1)}
       175:{2,4,5,7}:{(149,1),(152,1),(156,1),(197,1),(205,1),(227,1)}
       176:{3,5,6}:{(149,1),(150,1),(153,1),(195,1),(197,1)}
       177:{2,3,5}:{(150,1),(151,1),(158,1),(196,1),(199,1)}
       178:{1,3,4,6}:{(151,1),(155,1),(159,1),(199,1),(200,1),(202,1),(208,1),(228,1),(234,1),(242,1),(243,1)}
       179:{3,6,7}:{(152,1),(153,1),(197,1)}
       180:{2,3,6}:{(153,1),(154,1),(162,1),(202,1),(242,1)}
       181:{1,3,5,7}:{(154,1),(155,1),(163,1),(199,1),(202,1),(203,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(161,1),(168,1),(197,1),(205,1)}
       184:{2,5,6}:{(157,1),(158,1),(162,1),(205,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(164,1),(170,1),(200,1),(207,1),(208,1),(234,1)}
       187:{2,4,6,7}:{(161,1),(162,1),(201,1),(205,1),(209,1),(227,1),(233,1),(241,1)}
       188:{1,4,6}:{(162,1),(163,1),(202,1),(206,1)}
       189:{1,3,7}:{(164,1),(171,1),(204,1),(208,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(194,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(208,1),(211,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(191,1),(213,1)}
       195:{3,4,6}:{(174,1),(176,1),(214,1),(215,1)}
       196:{2,4,5}:{(174,1),(177,1),(215,1),(216,1),(226,1)}
       197:{3,5,7}:{(175,1),(176,1),(179,1),(214,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(184,1),(215,1),(217,1),(218,1)}
       199:{1,3,5}:{(177,1),(178,1),(185,1),(216,1),(219,1),(238,1)}
       200:{2,4,6}:{(178,1),(182,1),(219,1),(220,1),(222,1),(240,1)}
       201:{2,3,6,7}:{(179,1),(180,1),(187,1),(217,1),(221,1),(244,1)}
       202:{1,3,6}:{(180,1),(181,1),(188,1),(222,1)}
       203:{2,5,7}:{(181,1),(182,1),(219,1),(222,1)}
       204:{2,3,7}:{(182,1),(189,1),(220,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(187,1),(223,1)}
       206:{1,5,6}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,2,5}:{(185,1),(186,1),(192,1),(219,1),(224,1)}
       208:{1,3,6}:{(186,1),(189,1),(193,1),(220,1),(224,1)}
       209:{1,4,6,7}:{(187,1),(188,1),(221,1),(223,1),(236,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(213,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,7}:{(194,1),(211,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(227,1),(228,1)}
       216:{1,4,5}:{(196,1),(199,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(197,1),(198,1),(201,1),(205,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(199,1),(200,1)}
       220:{2,3,6}:{(200,1),(204,1),(208,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(201,1),(202,1),(209,1),(230,1),(233,1)}
       222:{2,6}:{(202,1),(203,1)}
       223:{1,5,7}:{(205,1),(206,1),(209,1)}
       224:{1,3,5}:{(207,1),(208,1),(212,1),(232,1),(234,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 934 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 935 :   0:{3,4,5,7}:{(1,1),(2,1),(14,1),(62,1),(101,1),(173,1),(274,1),(370,1),(376,1)}
         1:{2,4,5,7}:{(0,1),(4,1),(6,1),(7,1),(28,1),(38,1),(67,1),(130,1),(226,1)}
         2:{3,4,6}:{(0,1),(7,1),(8,1),(412,1),(418,1)}
         3:{2,3,4,7}:{(4,1),(9,1),(10,1),(67,1),(84,1),(130,1),(239,1),(328,1),(336,1)}
         4:{2,3,5,7}:{(1,1),(3,1),(11,1),(12,1),(21,1),(376,1),(384,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1),(47,1),(101,1),(109,1)}
         6:{1,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(49,1),(61,1),(95,1),(100,1),(182,1)}
         7:{2,4,6}:{(1,1),(2,1),(12,1),(16,1),(17,1)}
         8:{3,5,6}:{(2,1),(14,1),(17,1),(18,1),(274,1)}
         9:{1,3,4,7}:{(3,1),(11,1),(19,1),(20,1),(51,1),(56,1),(95,1),(100,1),(187,1),(294,1),(385,1)}
        10:{2,3,4,6}:{(3,1),(12,1),(20,1),(21,1),(45,1),(120,1),(176,1),(193,1),(210,1),(219,1),(280,1),(288,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(9,1),(23,1),(24,1),(30,1),(37,1),(427,1)}
        12:{2,3,6}:{(4,1),(7,1),(24,1),(418,1),(426,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(22,1),(27,1),(28,1),(67,1)}
        14:{3,5,7}:{(5,1),(8,1),(28,1),(29,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(30,1),(31,1),(68,1),(76,1),(91,1),(140,1),(143,1),(151,1),(156,1)}
        16:{1,4,6}:{(6,1),(7,1),(24,1),(31,1),(32,1)}
        17:{2,5,6}:{(7,1),(8,1),(28,1),(32,1),(226,1)}
        18:{4,5,6}:{(8,1),(29,1),(325,1),(412,1)}
        19:{2,4,7}:{(9,1),(23,1),(35,1),(36,1),(347,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(24,1),(36,1),(37,1),(71,1),(80,1),(86,1),(135,1),(145,1),(165,1),(170,1),(245,1),(270,1),(341,1)}
        21:{2,3,5}:{(10,1),(37,1),(38,1),(226,1),(331,1),(340,1)}
        22:{2,3,6,7}:{(12,1),(13,1),(40,1),(41,1),(109,1),(197,1)}
        23:{2,5,7}:{(11,1),(19,1),(43,1),(60,1)}
        24:{1,3,6}:{(11,1),(12,1),(16,1),(43,1),(52,1),(464,1)}
        25:{2,3,5,6}:{(12,1),(17,1),(21,1),(41,1),(44,1),(45,1),(55,1),(118,1),(193,1)}
        26:{3,5,6,7}:{(14,1),(46,1),(47,1),(109,1),(369,1),(473,1)}
        27:{1,4,6,7}:{(13,1),(16,1),(40,1),(48,1),(49,1),(100,1)}
        28:{2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        29:{4,5,7}:{(14,1),(18,1),(47,1)}
        30:{3,5,7}:{(15,1),(51,1),(52,1),(115,1),(128,1),(187,1)}
        31:{2,4,6}:{(15,1),(16,1),(43,1),(52,1),(53,1),(116,1)}
        32:{1,5,6}:{(16,1),(17,1),(49,1),(53,1),(182,1)}
        33:{2,4,5,6}:{(17,1),(18,1),(45,1),(50,1),(54,1),(55,1),(118,1),(279,1),(310,1),(375,1),(472,1),(519,1)}
        34:{1,2,4,7}:{(19,1),(39,1),(56,1),(57,1),(95,1),(119,1),(385,1),(386,1)}
        35:{2,3,7}:{(19,1),(56,1),(59,1),(187,1)}
        36:{2,4,6}:{(19,1),(20,1),(43,1),(59,1),(60,1),(127,1),(299,1),(321,1)}
        37:{1,3,5}:{(20,1),(21,1),(60,1),(61,1),(115,1),(128,1),(182,1),(389,1)}
        38:{2,4,5}:{(21,1),(45,1),(61,1),(62,1),(210,1)}
        39:{1,2,5,7}:{(23,1),(34,1),(63,1),(64,1),(87,1),(160,1),(427,1)}
        40:{1,3,6,7}:{(22,1),(24,1),(27,1),(65,1),(66,1),(75,1),(249,1)}
        41:{2,3,5,7}:{(22,1),(25,1),(28,1),(66,1),(67,1),(78,1),(153,1),(239,1)}
        42:{2,3,5,7}:{(23,1),(30,1),(35,1),(63,1),(68,1),(69,1),(90,1),(143,1)}
        43:{2,6}:{(23,1),(24,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(32,1),(37,1),(66,1),(70,1),(71,1),(81,1),(145,1),(159,1),(245,1)}
        45:{2,4,6}:{(25,1),(38,1),(67,1),(71,1),(72,1)}
        46:{2,5,6,7}:{(26,1),(28,1),(73,1),(74,1),(326,1),(438,1)}
        47:{4,6,7}:{(26,1),(29,1),(412,1),(500,1)}
        48:{2,4,6,7}:{(27,1),(31,1),(65,1),(75,1),(76,1),(140,1),(151,1)}
        49:{1,5,7}:{(27,1),(28,1),(32,1),(76,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(33,1),(67,1),(74,1),(77,1),(78,1),(153,1),(357,1),(438,1),(500,1)}
        51:{3,4,7}:{(30,1),(68,1),(80,1),(151,1),(170,1)}
        52:{3,6}:{(30,1),(31,1)}
        53:{2,5,6}:{(31,1),(32,1),(76,1),(81,1),(143,1)}
        54:{1,4,5,6}:{(32,1),(33,1),(71,1),(77,1),(82,1),(83,1),(159,1),(233,1),(257,1),(334,1),(437,1)}
        55:{3,5,6}:{(33,1),(72,1),(78,1),(331,1),(359,1),(418,1)}
        56:{1,3,7}:{(34,1),(35,1),(84,1),(86,1)}
        57:{1,2,4,6}:{(34,1),(36,1),(64,1),(86,1),(87,1),(135,1),(161,1),(165,1),(341,1),(342,1),(367,1)}
        58:{2,3,4,7}:{(35,1),(68,1),(85,1),(88,1),(89,1),(238,1),(268,1),(336,1),(443,1)}
        59:{2,3,6}:{(35,1),(36,1),(86,1),(90,1),(145,1),(368,1)}
        60:{2,5}:{(36,1),(37,1)}
        61:{1,4,5}:{(37,1),(38,1),(71,1),(91,1),(156,1),(165,1)}
        62:{3,4,5}:{(38,1),(72,1),(262,1),(331,1),(534,1)}
        63:{1,3,5,7}:{(39,1),(42,1),(56,1),(93,1),(95,1),(96,1),(123,1),(182,1)}
        64:{1,2,6}:{(39,1),(43,1),(96,1),(208,1),(464,1)}
        65:{2,6,7}:{(40,1),(43,1),(99,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(44,1),(49,1),(99,1),(100,1),(111,1),(187,1),(202,1),(294,1)}
        67:{2,4,7}:{(41,1),(45,1),(100,1),(101,1)}
        68:{2,4,7}:{(42,1),(51,1),(95,1),(103,1),(127,1)}
        69:{2,3,6}:{(42,1),(43,1),(52,1),(96,1),(103,1)}
        70:{2,5,6}:{(43,1),(44,1),(60,1),(99,1),(105,1),(299,1)}
        71:{1,4,6}:{(44,1),(45,1),(61,1),(100,1),(105,1),(116,1)}
        72:{3,4,6}:{(45,1),(55,1),(62,1),(101,1),(519,1)}
        73:{1,5,6,7}:{(46,1),(49,1),(107,1),(108,1),(281,1),(398,1)}
        74:{2,4,6,7}:{(46,1),(47,1),(50,1),(108,1),(109,1),(197,1),(375,1)}
        75:{3,6,7}:{(48,1),(52,1),(111,1),(187,1)}
        76:{2,5,7}:{(48,1),(49,1),(53,1),(111,1)}
        77:{1,4,5,7}:{(49,1),(50,1),(54,1),(100,1),(108,1),(112,1),(113,1),(202,1),(307,1),(398,1)}
        78:{3,5,7}:{(50,1),(55,1),(101,1),(109,1),(402,1)}
        79:{3,4,5,7}:{(51,1),(102,1),(114,1),(115,1),(199,1),(203,1),(218,1),(292,1),(320,1)}
        80:{3,4,6}:{(51,1),(52,1),(103,1),(115,1),(116,1)}
        81:{3,5,6}:{(52,1),(53,1),(111,1),(115,1),(116,1)}
        82:{2,4,5,6}:{(53,1),(54,1),(105,1),(112,1),(116,1),(117,1),(118,1),(191,1),(206,1),(291,1),(300,1),(397,1)}
        83:{1,3,5,6}:{(54,1),(55,1),(106,1),(113,1),(117,1),(118,1),(287,1),(383,1)}
        84:{2,3,7}:{(56,1),(119,1),(120,1),(404,1)}
        85:{1,3,4,7}:{(56,1),(58,1),(95,1),(119,1),(121,1),(122,1),(173,1),(315,1),(385,1),(404,1),(476,1)}
        86:{1,3,6}:{(56,1),(57,1),(59,1),(120,1),(123,1),(410,1)}
        87:{1,2,5}:{(57,1),(60,1),(123,1),(182,1),(209,1),(389,1)}
        88:{2,3,5,7}:{(58,1),(102,1),(121,1),(125,1),(126,1),(292,1),(384,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(103,1),(122,1),(125,1),(126,1),(127,1),(192,1),(217,1),(288,1),(314,1),(405,1)}
        90:{2,3,5}:{(59,1),(60,1),(123,1),(127,1),(128,1)}
        91:{2,4,5}:{(60,1),(61,1),(105,1),(127,1),(128,1)}
        92:{1,3,4,5}:{(61,1),(62,1),(106,1),(128,1),(129,1),(205,1),(214,1),(220,1),(287,1),(309,1),(403,1)}
        93:{2,3,5,7}:{(63,1),(84,1),(130,1),(131,1),(160,1),(162,1),(221,1),(226,1)}
        94:{1,2,6,7}:{(64,1),(65,1),(132,1),(133,1),(249,1),(259,1),(354,1),(426,1),(493,1),(494,1),(529,1)}
        95:{1,4,7}:{(63,1),(68,1),(130,1),(135,1),(165,1)}
        96:{1,3,6}:{(63,1),(64,1),(69,1),(131,1),(135,1)}
        97:{1,2,5,6}:{(64,1),(70,1),(87,1),(133,1),(136,1),(137,1),(159,1),(258,1),(260,1),(340,1),(342,1),(426,1),(430,1),(431,1),(491,1),(494,1)}
        98:{2,3,6,7}:{(65,1),(69,1),(75,1),(132,1),(138,1),(139,1),(344,1),(426,1),(529,1),(530,1),(545,1)}
        99:{2,5,7}:{(65,1),(66,1),(70,1),(140,1),(347,1)}
       100:{1,4,7}:{(66,1),(67,1),(71,1),(140,1),(151,1)}
       101:{3,4,7}:{(67,1),(72,1),(78,1),(500,1)}
       102:{2,4,5,7}:{(68,1),(79,1),(88,1),(134,1),(142,1),(143,1),(169,1),(241,1),(268,1)}
       103:{2,4,6}:{(68,1),(69,1),(80,1),(135,1),(143,1)}
       104:{2,3,5,6}:{(69,1),(70,1),(81,1),(90,1),(136,1),(139,1),(143,1),(144,1),(145,1),(235,1),(236,1),(243,1),(340,1),(344,1),(426,1),(491,1),(492,1),(527,1),(530,1),(544,1),(547,1)}
       105:{2,4,6}:{(70,1),(71,1),(91,1),(140,1),(145,1)}
       106:{1,3,4,6}:{(71,1),(72,1),(83,1),(92,1),(141,1),(145,1),(146,1),(157,1),(245,1),(257,1),(359,1)}
       107:{2,5,6,7}:{(73,1),(76,1),(147,1),(148,1),(236,1),(352,1)}
       108:{1,4,6,7}:{(73,1),(74,1),(77,1),(148,1),(149,1),(249,1),(334,1)}
       109:{3,6,7}:{(74,1),(78,1),(418,1)}
       110:{3,4,6,7}:{(75,1),(80,1),(138,1),(150,1),(151,1),(238,1),(251,1),(344,1),(545,1),(546,1),(551,1)}
       111:{3,5,7}:{(75,1),(76,1),(81,1),(151,1)}
       112:{2,4,5,7}:{(76,1),(77,1),(82,1),(140,1),(148,1),(151,1),(152,1),(153,1),(246,1),(253,1),(352,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(83,1),(141,1),(149,1),(152,1),(153,1)}
       114:{3,4,6}:{(79,1),(142,1),(155,1),(251,1),(344,1)}
       115:{3,5}:{(80,1),(143,1),(156,1)}
       116:{4,6}:{(81,1),(151,1),(156,1)}
       117:{3,5,6}:{(82,1),(145,1),(152,1),(157,1),(243,1),(344,1)}
       118:{2,5,6}:{(83,1),(146,1),(153,1),(159,1),(340,1),(426,1)}
       119:{2,4,7}:{(84,1),(85,1),(160,1),(161,1),(502,1)}
       120:{2,3,6}:{(84,1),(86,1),(161,1),(162,1),(361,1),(446,1)}
       121:{1,3,5,7}:{(85,1),(88,1),(134,1),(160,1),(163,1),(164,1),(221,1),(427,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(89,1),(135,1),(161,1),(163,1),(164,1),(165,1),(222,1),(262,1),(264,1),(341,1),(361,1),(363,1),(444,1)}
       123:{1,3,5}:{(86,1),(87,1),(90,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(91,1),(137,1),(165,1),(166,1),(172,1),(233,1),(261,1),(266,1),(271,1),(340,1),(358,1),(366,1),(367,1),(431,1),(445,1),(485,1),(496,1)}
       125:{2,3,6}:{(88,1),(142,1),(163,1),(344,1),(426,1)}
       126:{2,3,5}:{(89,1),(143,1),(164,1),(169,1),(243,1),(340,1)}
       127:{2,4}:{(90,1),(165,1),(170,1)}
       128:{3,5}:{(91,1),(145,1),(170,1)}
       129:{2,4,5}:{(92,1),(146,1),(171,1),(172,1),(266,1),(271,1),(340,1)}
       130:{2,4,7}:{(93,1),(95,1),(173,1),(176,1),(210,1)}
       131:{2,3,6}:{(93,1),(96,1),(176,1),(208,1),(273,1)}
       132:{1,3,6,7}:{(94,1),(96,1),(98,1),(174,1),(178,1),(179,1),(383,1),(464,1),(516,1)}
       133:{1,2,5,7}:{(94,1),(97,1),(99,1),(179,1),(180,1),(202,1),(308,1),(311,1),(384,1),(386,1),(467,1),(514,1)}
       134:{1,4,5,7}:{(95,1),(102,1),(121,1),(175,1),(181,1),(182,1),(213,1),(285,1),(315,1)}
       135:{1,4,6}:{(95,1),(96,1),(103,1),(176,1),(182,1)}
       136:{1,3,5,6}:{(96,1),(97,1),(104,1),(123,1),(177,1),(179,1),(182,1),(183,1),(184,1),(281,1),(287,1),(289,1),(383,1),(389,1),(464,1),(468,1),(516,1),(542,1)}
       137:{1,2,4,6}:{(97,1),(105,1),(124,1),(180,1),(183,1),(184,1),(194,1),(288,1),(299,1),(310,1),(312,1),(409,1),(477,1),(509,1)}
       138:{2,4,6,7}:{(98,1),(103,1),(110,1),(178,1),(185,1),(186,1),(291,1),(541,1)}
       139:{2,3,5,7}:{(98,1),(99,1),(104,1),(111,1),(179,1),(185,1),(186,1),(187,1),(284,1),(292,1),(384,1),(514,1),(540,1),(548,1)}
       140:{2,4,7}:{(99,1),(100,1),(105,1),(187,1)}
       141:{1,3,4,7}:{(100,1),(101,1),(106,1),(113,1),(187,1),(188,1),(200,1),(294,1),(307,1),(402,1)}
       142:{2,4,6}:{(102,1),(114,1),(125,1),(181,1),(190,1)}
       143:{2,5}:{(103,1),(115,1),(182,1)}
       144:{2,4,6}:{(104,1),(116,1),(127,1),(183,1),(186,1),(191,1),(192,1),(515,1),(549,1)}
       145:{3,6}:{(105,1),(128,1),(187,1)}
       146:{2,4,6}:{(106,1),(118,1),(129,1),(188,1),(193,1),(194,1),(299,1)}
       147:{3,5,6,7}:{(107,1),(111,1),(195,1),(196,1),(198,1),(301,1)}
       148:{2,4,6,7}:{(107,1),(108,1),(112,1),(195,1),(196,1),(197,1),(291,1)}
       149:{1,3,6,7}:{(108,1),(109,1),(113,1),(196,1),(197,1),(383,1)}
       150:{3,5,7}:{(110,1),(115,1),(185,1),(198,1),(199,1),(550,1)}
       151:{4,7}:{(111,1),(116,1)}
       152:{3,5,7}:{(112,1),(117,1),(187,1),(196,1),(200,1)}
       153:{2,5,7}:{(113,1),(118,1),(188,1),(197,1),(202,1)}
       154:{3,4,6,7}:{(114,1),(189,1),(203,1),(304,1),(320,1),(391,1)}
       155:{3,5,6}:{(114,1),(115,1),(190,1),(203,1),(204,1)}
       156:{4,5}:{(115,1),(116,1)}
       157:{3,4,6}:{(116,1),(117,1),(200,1),(205,1),(206,1)}
       158:{2,3,5,6}:{(117,1),(118,1),(193,1),(201,1),(206,1),(207,1),(297,1),(392,1),(397,1)}
       159:{1,5,6}:{(118,1),(194,1),(202,1),(389,1),(464,1)}
       160:{2,5,7}:{(119,1),(121,1),(208,1),(209,1)}
       161:{2,4,6}:{(119,1),(120,1),(122,1),(208,1),(209,1),(210,1),(407,1),(477,1)}
       162:{2,3,5}:{(120,1),(123,1),(209,1),(210,1),(313,1)}
       163:{1,3,6}:{(121,1),(125,1),(181,1),(208,1),(273,1),(464,1)}
       164:{1,3,5}:{(122,1),(126,1),(182,1),(209,1),(213,1),(274,1),(313,1),(389,1)}
       165:{1,4}:{(123,1),(127,1),(210,1)}
       166:{1,3,5}:{(124,1),(128,1),(184,1),(214,1),(215,1),(313,1),(403,1),(410,1),(510,1)}
       167:{2,3,6,7}:{(125,1),(189,1),(211,1),(216,1),(391,1),(463,1)}
       168:{2,3,5,6}:{(125,1),(126,1),(190,1),(212,1),(216,1),(217,1),(296,1),(388,1),(405,1)}
       169:{2,4,5}:{(126,1),(127,1),(213,1),(217,1),(218,1)}
       170:{3,4}:{(127,1),(128,1)}
       171:{2,3,5}:{(128,1),(129,1),(193,1),(219,1),(220,1),(403,1)}
       172:{1,4,5}:{(129,1),(194,1),(220,1),(318,1),(389,1)}
       173:{3,4,7}:{(130,1),(221,1),(222,1),(262,1),(414,1)}
       174:{2,3,6,7}:{(131,1),(132,1),(223,1),(224,1),(259,1),(323,1),(354,1),(418,1),(426,1),(439,1),(497,1)}
       175:{2,4,5,7}:{(130,1),(134,1),(160,1),(221,1),(225,1),(226,1),(261,1),(325,1),(329,1),(360,1),(414,1)}
       176:{2,4,6}:{(130,1),(131,1),(135,1),(222,1),(226,1)}
       177:{2,3,5,6}:{(131,1),(136,1),(162,1),(224,1),(226,1),(227,1),(235,1),(258,1),(260,1),(324,1),(326,1),(331,1),(340,1),(359,1),(361,1),(418,1),(426,1),(436,1),(497,1),(499,1),(533,1)}
       178:{1,4,6,7}:{(132,1),(135,1),(138,1),(223,1),(228,1),(229,1),(334,1),(532,1)}
       179:{1,3,5,7}:{(132,1),(133,1),(136,1),(139,1),(224,1),(228,1),(229,1),(230,1),(337,1),(427,1)}
       180:{1,2,4,7}:{(133,1),(137,1),(140,1),(229,1),(230,1),(240,1),(336,1),(347,1),(357,1),(360,1),(447,1),(502,1),(526,1)}
       181:{1,4,6}:{(134,1),(142,1),(163,1),(225,1),(232,1)}
       182:{1,5}:{(135,1),(143,1),(226,1)}
       183:{1,4,6}:{(136,1),(144,1),(165,1),(227,1),(229,1),(233,1),(496,1)}
       184:{1,3,6}:{(137,1),(145,1),(166,1),(230,1),(235,1),(359,1),(361,1),(527,1)}
       185:{2,5,7}:{(138,1),(143,1),(150,1),(228,1),(236,1),(547,1)}
       186:{2,4,7}:{(139,1),(144,1),(151,1),(229,1),(238,1),(551,1)}
       187:{3,7}:{(140,1),(145,1)}
       188:{2,4,7}:{(141,1),(146,1),(153,1),(239,1),(240,1),(347,1)}
       189:{2,4,6,7}:{(142,1),(154,1),(167,1),(231,1),(241,1),(268,1)}
       190:{2,5,6}:{(142,1),(143,1),(155,1),(232,1),(241,1)}
       191:{2,4,5}:{(143,1),(144,1),(156,1),(233,1),(243,1),(340,1),(547,1),(552,1)}
       192:{3,4,6}:{(144,1),(145,1),(170,1),(238,1),(243,1),(344,1),(527,1),(528,1)}
       193:{2,3,6}:{(145,1),(146,1),(171,1),(239,1),(245,1),(359,1)}
       194:{1,4,6}:{(146,1),(159,1),(172,1),(240,1),(245,1)}
       195:{4,6,7}:{(147,1),(151,1),(246,1),(251,1)}
       196:{3,6,7}:{(148,1),(152,1),(344,1)}
       197:{2,6,7}:{(149,1),(153,1),(249,1),(426,1)}
       198:{3,5,6}:{(150,1),(236,1),(251,1),(344,1)}
       199:{4,5,7}:{(150,1),(151,1),(156,1),(251,1),(551,1),(552,1)}
       200:{3,4,7}:{(151,1),(152,1),(157,1),(253,1)}
       201:{2,3,5,7}:{(152,1),(153,1),(158,1),(239,1),(248,1),(253,1),(254,1),(352,1)}
       202:{1,5,7}:{(153,1),(159,1),(240,1),(249,1)}
       203:{3,5,7}:{(154,1),(155,1),(241,1),(255,1)}
       204:{4,5,6}:{(155,1),(156,1),(251,1),(255,1)}
       205:{3,4,5}:{(156,1),(157,1),(243,1),(256,1),(528,1)}
       206:{2,4,6}:{(157,1),(158,1),(253,1),(256,1),(257,1)}
       207:{1,3,5,6}:{(158,1),(159,1),(245,1),(254,1),(257,1),(258,1),(349,1),(359,1),(433,1),(437,1),(499,1)}
       208:{2,6}:{(160,1),(163,1)}
       209:{2,5}:{(161,1),(164,1)}
       210:{2,4}:{(162,1),(165,1),(262,1)}
       211:{1,3,6,7}:{(163,1),(167,1),(231,1),(259,1),(263,1),(323,1),(493,1)}
       212:{1,3,5,6}:{(163,1),(164,1),(168,1),(232,1),(260,1),(263,1),(264,1),(324,1),(361,1),(430,1),(444,1)}
       213:{1,4,5}:{(164,1),(165,1),(169,1),(261,1),(264,1),(325,1)}
       214:{1,3,4}:{(165,1),(166,1),(170,1),(262,1),(266,1),(442,1),(496,1),(528,1)}
       215:{2,3,5}:{(166,1),(235,1),(266,1),(267,1),(271,1),(340,1),(368,1),(445,1),(446,1)}
       216:{2,3,5,7}:{(167,1),(168,1),(241,1),(263,1),(268,1),(348,1),(429,1),(443,1)}
       217:{2,4,6}:{(168,1),(169,1),(264,1),(268,1),(269,1)}
       218:{3,4,5}:{(169,1),(170,1),(243,1),(269,1),(552,1)}
       219:{2,3,4}:{(170,1),(171,1),(266,1),(270,1),(442,1),(446,1)}
       220:{1,3,5}:{(171,1),(172,1),(245,1),(270,1),(271,1)}
       221:{3,5,7}:{(173,1),(175,1),(273,1),(274,1),(313,1),(404,1)}
       222:{3,4,6}:{(173,1),(176,1),(273,1),(274,1),(372,1)}
       223:{2,4,6,7}:{(174,1),(176,1),(178,1),(272,1),(275,1),(276,1),(375,1),(518,1)}
       224:{2,3,5,7}:{(174,1),(177,1),(179,1),(275,1),(276,1),(284,1),(308,1),(311,1),(371,1),(376,1),(384,1),(402,1),(404,1),(473,1)}
       225:{2,4,6}:{(175,1),(181,1),(208,1),(273,1),(278,1),(372,1)}
       226:{2,5}:{(176,1),(182,1),(274,1)}
       227:{2,4,6}:{(177,1),(183,1),(210,1),(276,1),(279,1),(280,1),(372,1),(471,1),(519,1)}
       228:{1,5,7}:{(178,1),(182,1),(185,1),(275,1),(281,1),(542,1)}
       229:{1,4,7}:{(179,1),(183,1),(186,1),(276,1)}
       230:{1,3,7}:{(180,1),(184,1),(187,1),(284,1),(402,1),(404,1),(540,1)}
       231:{1,4,6,7}:{(181,1),(189,1),(211,1),(277,1),(285,1),(315,1)}
       232:{1,5,6}:{(181,1),(182,1),(190,1),(278,1),(285,1)}
       233:{1,4,5}:{(182,1),(183,1),(191,1),(279,1),(287,1),(389,1),(542,1)}
       234:{1,3,4,6}:{(183,1),(184,1),(192,1),(214,1),(280,1),(283,1),(287,1),(288,1),(383,1)}
       235:{2,3,6}:{(184,1),(215,1),(284,1),(288,1),(289,1),(299,1),(477,1)}
       236:{2,5,6}:{(185,1),(198,1),(281,1),(291,1)}
       237:{2,4,5,7}:{(185,1),(186,1),(191,1),(199,1),(282,1),(291,1),(292,1),(384,1)}
       238:{3,4,7}:{(186,1),(187,1),(192,1),(292,1),(540,1)}
       239:{2,3,7}:{(187,1),(188,1),(193,1),(294,1),(402,1)}
       240:{1,4,7}:{(188,1),(194,1),(202,1),(294,1)}
       241:{2,5,7}:{(189,1),(190,1),(203,1),(285,1)}
       242:{2,4,5,6}:{(190,1),(191,1),(204,1),(217,1),(286,1),(291,1),(295,1),(296,1),(388,1),(509,1),(536,1),(549,1)}
       243:{3,5}:{(191,1),(192,1)}
       244:{2,3,4,6}:{(192,1),(193,1),(206,1),(219,1),(288,1),(293,1),(297,1),(298,1),(392,1),(462,1),(515,1),(541,1)}
       245:{1,3,6}:{(193,1),(194,1),(220,1),(294,1),(299,1)}
       246:{4,5,7}:{(195,1),(300,1),(301,1)}
       247:{3,4,6,7}:{(195,1),(196,1),(200,1),(301,1),(302,1),(305,1)}
       248:{2,3,6,7}:{(196,1),(197,1),(201,1),(302,1),(303,1),(392,1)}
       249:{1,6,7}:{(197,1),(202,1),(464,1)}
       250:{3,5,6,7}:{(198,1),(203,1),(290,1),(304,1),(391,1),(548,1)}
       251:{4,6}:{(198,1),(199,1)}
       252:{3,4,5,7}:{(199,1),(200,1),(205,1),(292,1),(301,1),(305,1),(306,1),(539,1),(550,1)}
       253:{2,4,7}:{(200,1),(201,1),(206,1),(307,1)}
       254:{1,3,5,7}:{(201,1),(202,1),(207,1),(294,1),(303,1),(307,1),(308,1),(398,1),(402,1),(473,1)}
       255:{4,5,7}:{(203,1),(204,1),(304,1)}
       256:{2,4,5}:{(205,1),(206,1),(297,1),(309,1),(515,1)}
       257:{1,4,6}:{(206,1),(207,1),(307,1),(309,1),(310,1),(519,1)}
       258:{2,5,6}:{(207,1),(299,1),(308,1),(310,1),(395,1),(469,1)}
       259:{2,6,7}:{(208,1),(211,1),(311,1)}
       260:{2,5,6}:{(208,1),(209,1),(212,1),(311,1),(312,1),(477,1)}
       261:{2,4,5}:{(209,1),(210,1),(213,1),(312,1),(313,1)}
       262:{3,4}:{(210,1),(313,1)}
       263:{1,3,5,7}:{(211,1),(212,1),(216,1),(285,1),(311,1),(315,1),(371,1),(404,1),(467,1),(476,1)}
       264:{1,4,6}:{(212,1),(213,1),(217,1),(312,1),(315,1),(372,1)}
       265:{1,3,4,5}:{(213,1),(214,1),(218,1),(287,1),(313,1),(316,1),(317,1),(373,1),(406,1),(454,1),(510,1)}
       266:{2,4}:{(214,1),(215,1),(318,1)}
       267:{1,3,5}:{(215,1),(289,1),(318,1),(319,1),(389,1),(410,1)}
       268:{2,4,7}:{(216,1),(217,1),(315,1),(320,1)}
       269:{3,4,6}:{(217,1),(218,1),(296,1),(320,1),(549,1)}
       270:{1,3,4}:{(219,1),(220,1),(318,1),(321,1),(410,1)}
       271:{2,5}:{(220,1),(299,1),(321,1)}
       272:{3,4,6,7}:{(222,1),(223,1),(322,1),(323,1),(328,1),(412,1),(414,1),(418,1),(439,1),(500,1),(501,1)}
       273:{3,6}:{(221,1),(225,1)}
       274:{3,5}:{(222,1),(226,1),(325,1)}
       275:{2,5,7}:{(223,1),(226,1),(228,1),(322,1),(326,1),(533,1)}
       276:{2,4,7}:{(224,1),(227,1),(229,1),(328,1),(414,1),(500,1)}
       277:{2,4,6,7}:{(225,1),(231,1),(259,1),(323,1),(329,1),(360,1),(414,1)}
       278:{2,5,6}:{(225,1),(226,1),(232,1),(324,1),(329,1)}
       279:{2,4,5}:{(226,1),(227,1),(233,1),(325,1),(331,1),(340,1),(533,1),(534,1)}
       280:{3,4,6}:{(227,1),(262,1),(328,1),(331,1),(359,1),(361,1),(418,1),(442,1)}
       281:{1,5,6}:{(228,1),(236,1),(326,1),(334,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(233,1),(237,1),(327,1),(334,1),(335,1),(427,1)}
       283:{1,3,4,7}:{(229,1),(230,1),(234,1),(238,1),(328,1),(335,1),(336,1)}
       284:{2,3,7}:{(230,1),(235,1),(336,1),(337,1),(347,1),(502,1)}
       285:{1,5,7}:{(231,1),(232,1),(241,1),(329,1)}
       286:{1,4,5,6}:{(232,1),(233,1),(242,1),(264,1),(330,1),(334,1),(338,1),(339,1),(430,1),(484,1),(522,1)}
       287:{1,3,5}:{(233,1),(234,1),(243,1),(331,1),(340,1)}
       288:{2,4,6}:{(234,1),(235,1),(266,1),(336,1),(340,1),(341,1),(426,1)}
       289:{1,3,6}:{(235,1),(267,1),(337,1),(341,1),(342,1)}
       290:{2,5,6,7}:{(236,1),(241,1),(250,1),(333,1),(343,1),(543,1)}
       291:{2,4,6}:{(236,1),(237,1),(251,1),(334,1),(344,1),(426,1)}
       292:{3,5,7}:{(237,1),(238,1),(243,1),(344,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(244,1),(253,1),(336,1),(345,1),(346,1),(489,1),(531,1)}
       294:{1,3,7}:{(239,1),(240,1),(245,1),(347,1)}
       295:{2,4,5,7}:{(241,1),(242,1),(255,1),(268,1),(338,1),(343,1),(348,1),(429,1),(526,1),(543,1),(551,1)}
       296:{3,5,6}:{(242,1),(243,1),(269,1),(344,1),(348,1),(527,1)}
       297:{2,3,5}:{(243,1),(244,1),(256,1),(340,1),(349,1),(547,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(257,1),(270,1),(341,1),(346,1),(349,1),(350,1),(359,1),(432,1),(433,1),(442,1),(496,1),(501,1),(532,1)}
       299:{2,6}:{(245,1),(271,1),(347,1)}
       300:{4,5,6}:{(246,1),(251,1),(351,1),(552,1)}
       301:{3,5,7}:{(246,1),(247,1),(351,1),(352,1)}
       302:{2,4,6,7}:{(247,1),(248,1),(253,1),(352,1),(353,1),(355,1)}
       303:{1,3,6,7}:{(248,1),(249,1),(254,1),(353,1),(354,1),(433,1),(439,1)}
       304:{4,6,7}:{(250,1),(251,1),(255,1),(551,1)}
       305:{3,4,6}:{(251,1),(252,1),(344,1),(351,1),(355,1)}
       306:{2,4,5,7}:{(252,1),(253,1),(256,1),(345,1),(352,1),(355,1),(356,1),(531,1),(547,1)}
       307:{1,4,7}:{(253,1),(254,1),(257,1),(357,1),(500,1)}
       308:{2,5,7}:{(254,1),(258,1),(347,1),(354,1),(357,1)}
       309:{1,4,5}:{(256,1),(257,1),(349,1),(358,1),(496,1),(534,1)}
       310:{2,4,6}:{(257,1),(258,1),(357,1),(358,1),(359,1)}
       311:{2,5,7}:{(259,1),(260,1),(263,1),(360,1),(502,1)}
       312:{2,4,6}:{(260,1),(261,1),(264,1),(360,1),(361,1)}
       313:{3,5}:{(261,1),(262,1),(361,1)}
       314:{2,3,4}:{(262,1),(266,1),(362,1),(363,1),(368,1),(528,1)}
       315:{1,4,7}:{(263,1),(264,1),(268,1),(360,1),(414,1)}
       316:{1,3,4,6}:{(264,1),(265,1),(269,1),(339,1),(361,1),(364,1),(365,1),(415,1),(444,1),(484,1),(527,1)}
       317:{2,4,5}:{(265,1),(266,1),(340,1),(362,1),(365,1),(366,1),(445,1)}
       318:{1,4}:{(266,1),(267,1)}
       319:{1,2,5}:{(267,1),(271,1),(342,1),(367,1),(445,1)}
       320:{3,4,7}:{(268,1),(269,1),(348,1),(551,1)}
       321:{2,4}:{(270,1),(271,1),(368,1)}
       322:{3,5,7}:{(272,1),(274,1),(275,1),(369,1),(370,1),(520,1)}
       323:{3,6,7}:{(273,1),(277,1),(371,1),(404,1)}
       324:{3,5,6}:{(273,1),(274,1),(278,1),(371,1),(372,1)}
       325:{4,5}:{(274,1),(372,1)}
       326:{2,5,6}:{(275,1),(281,1),(369,1),(375,1)}
       327:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(370,1),(375,1),(376,1),(384,1)}
       328:{3,4,7}:{(276,1),(280,1),(376,1),(402,1),(404,1)}
       329:{2,5,7}:{(277,1),(278,1),(285,1),(371,1)}
       330:{2,4,5,6}:{(278,1),(279,1),(286,1),(312,1),(372,1),(375,1),(378,1),(379,1),(388,1),(448,1),(453,1),(504,1)}
       331:{3,5}:{(279,1),(280,1)}
       332:{2,3,4,6}:{(280,1),(288,1),(314,1),(377,1),(380,1),(381,1),(396,1),(405,1),(453,1),(456,1),(471,1),(518,1)}
       333:{1,5,6,7}:{(281,1),(285,1),(290,1),(374,1),(382,1),(535,1)}
       334:{1,4,6}:{(281,1),(282,1),(291,1),(375,1),(383,1),(464,1)}
       335:{1,3,5,7}:{(282,1),(283,1),(287,1),(292,1),(376,1),(383,1),(384,1)}
       336:{2,4,7}:{(283,1),(284,1),(288,1),(384,1),(385,1)}
       337:{1,3,7}:{(284,1),(289,1),(385,1),(386,1)}
       338:{1,4,5,7}:{(285,1),(286,1),(295,1),(315,1),(378,1),(382,1),(387,1),(467,1),(508,1),(535,1)}
       339:{1,3,5,6}:{(286,1),(287,1),(296,1),(316,1),(379,1),(383,1),(387,1),(388,1)}
       340:{2,5}:{(287,1),(288,1),(389,1)}
       341:{1,4,6}:{(288,1),(289,1),(318,1),(385,1),(389,1),(464,1)}
       342:{1,2,6}:{(289,1),(299,1),(319,1),(386,1),(477,1)}
       343:{2,4,6,7}:{(290,1),(291,1),(295,1),(304,1),(382,1),(391,1),(463,1)}
       344:{3,6}:{(291,1),(292,1)}
       345:{2,3,5,7}:{(292,1),(293,1),(297,1),(306,1),(384,1),(392,1),(393,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(307,1),(385,1),(393,1),(394,1),(402,1),(466,1),(475,1),(517,1)}
       347:{2,7}:{(294,1),(299,1)}
       348:{3,5,7}:{(295,1),(296,1),(320,1),(391,1),(540,1)}
       349:{1,3,5}:{(297,1),(298,1),(309,1),(389,1),(395,1),(403,1),(520,1),(542,1)}
       350:{2,4,6}:{(298,1),(299,1),(321,1),(394,1),(395,1),(396,1),(469,1),(471,1)}
       351:{3,5,6}:{(300,1),(301,1),(305,1),(397,1),(550,1)}
       352:{2,5,7}:{(301,1),(302,1),(397,1),(398,1)}
       353:{1,4,6,7}:{(302,1),(303,1),(307,1),(398,1),(399,1),(400,1)}
       354:{2,6,7}:{(303,1),(308,1),(469,1)}
       355:{2,4,6}:{(305,1),(306,1),(392,1),(397,1),(400,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(309,1),(393,1),(398,1),(400,1),(401,1),(517,1),(542,1)}
       357:{2,4,7}:{(307,1),(308,1),(310,1),(402,1)}
       358:{2,4,5}:{(309,1),(310,1),(395,1),(403,1),(471,1)}
       359:{3,6}:{(310,1),(402,1),(403,1)}
       360:{2,4,7}:{(311,1),(312,1),(315,1),(404,1)}
       361:{3,6}:{(312,1),(313,1),(404,1)}
       362:{2,3,5}:{(313,1),(314,1),(317,1),(405,1),(406,1),(510,1)}
       363:{1,3,4}:{(314,1),(318,1),(406,1),(407,1),(410,1)}
       364:{1,3,4,7}:{(315,1),(316,1),(320,1),(387,1),(404,1),(408,1),(452,1),(476,1),(508,1),(540,1)}
       365:{2,4,6}:{(316,1),(317,1),(388,1),(405,1),(408,1),(409,1),(477,1)}
       366:{1,4,5}:{(317,1),(318,1),(389,1),(406,1),(409,1)}
       367:{1,2,4}:{(318,1),(319,1),(321,1),(407,1),(410,1)}
       368:{2,3}:{(321,1),(410,1)}
       369:{3,5,6}:{(322,1),(326,1),(412,1),(418,1)}
       370:{4,5,7}:{(322,1),(325,1),(412,1),(414,1),(500,1),(534,1)}
       371:{3,5,7}:{(323,1),(324,1),(329,1),(414,1)}
       372:{4,6}:{(324,1),(325,1),(414,1)}
       373:{3,4,5}:{(325,1),(331,1),(415,1),(416,1),(442,1)}
       374:{2,5,6,7}:{(326,1),(329,1),(333,1),(411,1),(417,1),(521,1)}
       375:{2,4,6}:{(326,1),(327,1),(334,1),(412,1),(418,1),(426,1)}
       376:{3,5,7}:{(327,1),(328,1),(331,1),(418,1)}
       377:{2,3,4,7}:{(328,1),(332,1),(336,1),(419,1),(420,1),(435,1),(443,1),(483,1),(498,1)}
       378:{2,4,5,7}:{(329,1),(330,1),(338,1),(360,1),(414,1),(417,1),(421,1),(429,1),(478,1),(483,1),(521,1)}
       379:{3,5,6}:{(330,1),(331,1),(361,1),(415,1),(418,1),(421,1)}
       380:{2,3,5}:{(331,1),(332,1),(340,1),(416,1),(423,1),(533,1)}
       381:{1,3,4,6}:{(332,1),(341,1),(363,1),(420,1),(423,1),(424,1),(432,1),(444,1),(484,1),(487,1),(496,1),(527,1),(528,1),(532,1),(546,1)}
       382:{1,4,6,7}:{(333,1),(334,1),(338,1),(343,1),(417,1),(425,1),(493,1)}
       383:{1,3,6}:{(334,1),(335,1),(344,1),(418,1),(426,1)}
       384:{2,5,7}:{(335,1),(336,1),(340,1),(426,1),(427,1)}
       385:{1,4,7}:{(336,1),(337,1),(341,1),(427,1)}
       386:{1,2,7}:{(337,1),(342,1),(347,1),(502,1)}
       387:{1,3,5,7}:{(338,1),(339,1),(348,1),(364,1),(421,1),(425,1),(429,1)}
       388:{2,5,6}:{(339,1),(340,1),(365,1),(426,1),(429,1),(430,1)}
       389:{1,5}:{(340,1),(341,1)}
       390:{1,2,4,6}:{(341,1),(342,1),(350,1),(367,1),(424,1),(428,1),(431,1),(432,1),(494,1),(496,1),(532,1)}
       391:{3,6,7}:{(343,1),(344,1),(348,1)}
       392:{2,3,6}:{(344,1),(345,1),(355,1),(426,1),(433,1)}
       393:{1,3,5,7}:{(345,1),(346,1),(349,1),(356,1),(427,1),(433,1),(434,1),(441,1)}
       394:{2,4,7}:{(346,1),(347,1),(350,1),(434,1),(435,1)}
       395:{2,5}:{(349,1),(350,1)}
       396:{2,3,6}:{(350,1),(359,1),(368,1),(432,1),(435,1),(436,1)}
       397:{2,5,6}:{(351,1),(352,1),(355,1),(437,1),(547,1)}
       398:{1,5,7}:{(352,1),(353,1),(437,1),(438,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(357,1),(438,1),(439,1),(440,1),(500,1)}
       400:{1,4,6}:{(355,1),(356,1),(433,1),(437,1),(440,1)}
       401:{2,4,5,7}:{(356,1),(357,1),(358,1),(434,1),(438,1),(440,1),(441,1),(498,1),(500,1),(533,1),(534,1)}
       402:{3,7}:{(357,1),(359,1)}
       403:{3,5}:{(358,1),(359,1),(442,1)}
       404:{3,7}:{(360,1),(361,1)}
       405:{2,3,6}:{(361,1),(362,1),(365,1),(443,1),(444,1),(527,1)}
       406:{1,3,5}:{(362,1),(363,1),(366,1),(444,1),(445,1)}
       407:{2,4}:{(363,1),(445,1),(446,1)}
       408:{2,4,7}:{(364,1),(365,1),(429,1),(443,1),(447,1),(502,1)}
       409:{1,4,6}:{(365,1),(366,1),(430,1),(444,1),(447,1)}
       410:{1,3}:{(367,1),(368,1),(446,1)}
       411:{3,5,6,7}:{(369,1),(371,1),(374,1),(449,1),(455,1),(503,1)}
       412:{4,6}:{(369,1),(370,1)}
       413:{3,4,5,7}:{(370,1),(373,1),(376,1),(450,1),(451,1),(452,1),(475,1),(503,1),(520,1)}
       414:{4,7}:{(371,1),(372,1)}
       415:{3,4,6}:{(372,1),(373,1),(379,1),(452,1),(453,1)}
       416:{2,4,5}:{(373,1),(380,1),(453,1),(454,1),(471,1)}
       417:{2,4,6,7}:{(374,1),(375,1),(378,1),(382,1),(449,1),(455,1),(463,1)}
       418:{3,6}:{(375,1),(376,1)}
       419:{2,3,5,7}:{(376,1),(377,1),(380,1),(384,1),(451,1),(456,1),(457,1)}
       420:{1,3,4,7}:{(377,1),(381,1),(385,1),(457,1),(458,1),(466,1),(476,1),(508,1),(517,1),(539,1),(540,1)}
       421:{3,5,7}:{(378,1),(379,1),(404,1),(452,1),(455,1)}
       422:{2,3,5,6}:{(379,1),(380,1),(388,1),(405,1),(453,1),(456,1),(459,1),(460,1),(504,1)}
       423:{1,3,5}:{(380,1),(381,1),(389,1),(454,1),(461,1),(510,1),(542,1),(550,1)}
       424:{2,4,6}:{(381,1),(407,1),(458,1),(461,1),(462,1),(477,1),(512,1),(515,1)}
       425:{1,3,6,7}:{(382,1),(383,1),(387,1),(391,1),(455,1),(463,1)}
       426:{2,6}:{(383,1),(384,1),(464,1)}
       427:{1,5,7}:{(384,1),(385,1),(389,1),(464,1)}
       428:{1,2,4,7}:{(385,1),(386,1),(390,1),(394,1),(458,1),(465,1),(466,1),(517,1)}
       429:{2,5,7}:{(387,1),(388,1),(408,1),(463,1),(467,1)}
       430:{1,5,6}:{(388,1),(389,1),(409,1),(464,1),(467,1)}
       431:{1,2,5}:{(389,1),(390,1),(395,1),(461,1),(468,1),(542,1)}
       432:{1,3,6}:{(390,1),(396,1),(410,1),(462,1),(466,1),(468,1)}
       433:{1,3,6}:{(392,1),(393,1),(400,1),(464,1),(469,1),(474,1)}
       434:{2,5,7}:{(393,1),(394,1),(395,1),(469,1)}
       435:{2,3,7}:{(394,1),(396,1),(402,1),(466,1)}
       436:{2,3,5}:{(395,1),(396,1),(403,1),(468,1),(471,1)}
       437:{1,5,6}:{(397,1),(398,1),(400,1),(472,1),(542,1)}
       438:{2,5,7}:{(398,1),(399,1),(472,1),(473,1)}
       439:{3,6,7}:{(399,1),(402,1),(473,1),(474,1)}
       440:{2,4,6}:{(400,1),(401,1),(469,1),(472,1),(474,1),(519,1)}
       441:{3,5,7}:{(401,1),(402,1),(403,1),(474,1),(475,1),(520,1)}
       442:{3,4}:{(403,1),(471,1)}
       443:{2,3,7}:{(404,1),(405,1),(408,1),(476,1),(540,1)}
       444:{1,3,6}:{(405,1),(406,1),(409,1),(476,1),(477,1)}
       445:{2,5}:{(406,1),(407,1),(477,1)}
       446:{2,3}:{(407,1),(410,1)}
       447:{1,4,7}:{(408,1),(409,1),(467,1),(476,1)}
       448:{4,5,6}:{(412,1),(478,1),(479,1),(534,1)}
       449:{4,6,7}:{(411,1),(412,1),(414,1),(478,1)}
       450:{3,4,6}:{(412,1),(413,1),(418,1),(479,1),(481,1)}
       451:{2,4,5,7}:{(413,1),(416,1),(419,1),(481,1),(482,1),(483,1),(498,1),(521,1),(533,1)}
       452:{3,4,7}:{(414,1),(415,1),(421,1),(483,1)}
       453:{2,4,6}:{(415,1),(416,1),(422,1),(483,1),(484,1)}
       454:{1,4,5}:{(416,1),(423,1),(484,1),(485,1),(496,1),(552,1)}
       455:{3,6,7}:{(417,1),(418,1),(421,1)}
       456:{2,3,6}:{(418,1),(419,1),(426,1),(481,1),(487,1)}
       457:{1,3,5,7}:{(419,1),(420,1),(423,1),(427,1),(482,1),(487,1),(488,1),(525,1)}
       458:{2,4,7}:{(420,1),(424,1),(488,1),(489,1),(502,1)}
       459:{2,3,5,7}:{(421,1),(422,1),(429,1),(443,1),(483,1),(486,1),(490,1),(521,1)}
       460:{1,3,5,6}:{(422,1),(423,1),(430,1),(444,1),(484,1),(487,1),(490,1),(491,1),(522,1),(527,1),(544,1)}
       461:{2,5}:{(423,1),(424,1)}
       462:{2,3,6}:{(424,1),(432,1),(446,1),(489,1),(492,1),(527,1)}
       463:{2,6,7}:{(425,1),(426,1),(429,1),(493,1)}
       464:{1,6}:{(426,1),(427,1)}
       465:{1,2,5,7}:{(427,1),(428,1),(431,1),(434,1),(488,1),(494,1),(495,1)}
       466:{1,3,7}:{(428,1),(432,1),(435,1),(489,1)}
       467:{1,5,7}:{(429,1),(430,1),(447,1),(493,1)}
       468:{1,3,5}:{(431,1),(432,1),(436,1),(492,1),(496,1)}
       469:{2,6}:{(433,1),(434,1)}
       470:{2,3,5,7}:{(434,1),(435,1),(436,1),(441,1),(495,1),(497,1),(498,1),(533,1)}
       471:{2,4}:{(436,1),(442,1),(496,1)}
       472:{2,5,6}:{(437,1),(438,1),(440,1),(499,1),(533,1)}
       473:{3,5,7}:{(438,1),(439,1),(499,1),(500,1)}
       474:{3,6}:{(440,1),(441,1)}
       475:{3,4,7}:{(441,1),(442,1),(498,1),(500,1),(501,1)}
       476:{1,3,7}:{(443,1),(444,1),(447,1),(502,1)}
       477:{2,6}:{(444,1),(445,1),(502,1)}
       478:{4,5,7}:{(448,1),(449,1),(503,1)}
       479:{3,5,6}:{(448,1),(450,1),(503,1),(504,1),(520,1)}
       480:{3,4,6,7}:{(449,1),(450,1),(452,1),(455,1),(503,1),(505,1)}
       481:{2,4,6}:{(450,1),(451,1),(456,1),(504,1),(506,1)}
       482:{1,4,5,7}:{(451,1),(454,1),(457,1),(506,1),(507,1),(508,1),(517,1),(535,1),(542,1)}
       483:{2,4,7}:{(452,1),(453,1),(459,1),(508,1)}
       484:{1,4,6}:{(453,1),(454,1),(460,1),(508,1),(509,1),(549,1)}
       485:{2,4,5}:{(454,1),(461,1),(509,1),(510,1),(515,1)}
       486:{2,3,6,7}:{(455,1),(456,1),(459,1),(463,1),(505,1),(511,1)}
       487:{1,3,6}:{(456,1),(457,1),(464,1),(506,1),(512,1),(538,1)}
       488:{2,5,7}:{(457,1),(458,1),(461,1),(512,1)}
       489:{2,3,7}:{(458,1),(462,1),(466,1),(540,1)}
       490:{1,3,5,7}:{(459,1),(460,1),(467,1),(476,1),(508,1),(511,1),(514,1),(535,1),(540,1),(548,1)}
       491:{2,5,6}:{(460,1),(461,1),(477,1),(509,1),(512,1),(514,1)}
       492:{2,3,5}:{(461,1),(462,1),(468,1),(510,1),(515,1)}
       493:{1,6,7}:{(463,1),(464,1),(467,1)}
       494:{1,2,6}:{(464,1),(465,1),(469,1),(512,1),(516,1)}
       495:{1,3,5,7}:{(465,1),(466,1),(468,1),(470,1),(513,1),(516,1),(517,1),(542,1)}
       496:{1,4}:{(468,1),(471,1),(515,1)}
       497:{2,3,6}:{(469,1),(470,1),(474,1),(516,1),(518,1)}
       498:{2,4,7}:{(470,1),(471,1),(475,1),(517,1),(518,1)}
       499:{3,5,6}:{(472,1),(473,1),(474,1),(519,1),(520,1)}
       500:{4,7}:{(473,1),(519,1)}
       501:{3,4,6}:{(474,1),(475,1),(518,1),(519,1),(520,1)}
       502:{2,7}:{(476,1),(477,1)}
       503:{3,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,5,6}:{(479,1),(481,1),(521,1),(522,1),(533,1)}
       505:{2,4,6,7}:{(480,1),(481,1),(483,1),(486,1),(521,1),(523,1)}
       506:{1,4,6}:{(481,1),(482,1),(487,1),(522,1),(524,1)}
       507:{2,4,5,7}:{(482,1),(485,1),(488,1),(524,1),(525,1),(526,1),(531,1),(543,1),(547,1),(551,1),(552,1)}
       508:{1,4,7}:{(483,1),(484,1),(490,1),(526,1),(551,1)}
       509:{2,4,6}:{(484,1),(485,1),(491,1),(526,1),(527,1)}
       510:{3,5}:{(485,1),(527,1),(528,1)}
       511:{1,3,6,7}:{(486,1),(487,1),(490,1),(493,1),(523,1),(529,1),(545,1)}
       512:{2,6}:{(487,1),(488,1)}
       513:{2,3,5,7}:{(488,1),(489,1),(492,1),(495,1),(525,1),(530,1),(531,1),(547,1)}
       514:{2,5,7}:{(490,1),(491,1),(502,1),(526,1),(529,1)}
       515:{2,4}:{(492,1),(496,1),(528,1)}
       516:{1,3,6}:{(494,1),(495,1),(497,1),(530,1),(532,1)}
       517:{1,4,7}:{(495,1),(496,1),(498,1),(531,1),(532,1)}
       518:{2,4,6}:{(497,1),(498,1),(501,1),(532,1),(533,1)}
       519:{4,6}:{(499,1),(500,1),(534,1)}
       520:{3,5}:{(501,1),(533,1),(534,1)}
       521:{2,5,7}:{(503,1),(504,1),(505,1),(535,1)}
       522:{1,5,6}:{(504,1),(506,1),(535,1),(536,1),(542,1)}
       523:{1,4,6,7}:{(505,1),(506,1),(508,1),(511,1),(535,1),(537,1)}
       524:{2,4,6}:{(506,1),(507,1),(512,1),(536,1),(538,1),(549,1)}
       525:{3,5,7}:{(507,1),(510,1),(538,1),(539,1),(540,1),(550,1)}
       526:{2,4,7}:{(508,1),(509,1),(514,1),(540,1)}
       527:{3,6}:{(509,1),(510,1),(540,1)}
       528:{3,4}:{(510,1),(515,1)}
       529:{2,6,7}:{(511,1),(512,1),(514,1)}
       530:{2,3,6}:{(512,1),(513,1),(516,1),(538,1),(541,1)}
       531:{2,4,7}:{(513,1),(515,1),(517,1),(539,1),(541,1)}
       532:{1,4,6}:{(516,1),(517,1),(518,1),(541,1),(542,1)}
       533:{2,5}:{(518,1),(520,1),(542,1)}
       534:{4,5}:{(519,1),(520,1)}
       535:{1,5,7}:{(521,1),(522,1),(523,1),(543,1)}
       536:{2,5,6}:{(522,1),(524,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(523,1),(524,1),(526,1),(529,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(524,1),(525,1)}
       539:{3,4,7}:{(525,1),(528,1),(531,1),(546,1),(551,1)}
       540:{3,7}:{(526,1),(527,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(546,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(540,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

 936 :   0:{3,4,5}:{(2,1),(3,1),(92,1),(125,1)}
         1:{4,5,6}:{(7,1),(8,1),(135,1),(148,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(76,1),(112,1)}
         4:{2,3,4}:{(5,1),(12,1),(56,1),(76,1)}
         5:{2,3,5}:{(3,1),(4,1),(13,1),(14,1)}
         6:{5,6,7}:{(15,1),(151,1)}
         7:{4,5,7}:{(1,1),(15,1),(16,1)}
         8:{3,5,6}:{(1,1),(2,1),(16,1),(17,1),(125,1),(145,1)}
         9:{3,4,7}:{(2,1),(16,1),(18,1)}
        10:{2,4,6}:{(2,1),(3,1),(13,1),(17,1),(18,1),(19,1)}
        11:{1,4,5}:{(3,1),(14,1),(19,1),(20,1),(62,1),(97,1)}
        12:{1,3,4}:{(4,1),(14,1),(21,1),(42,1),(43,1),(62,1)}
        13:{2,3,6}:{(5,1),(10,1),(22,1),(23,1)}
        14:{1,3,5}:{(5,1),(11,1),(12,1),(23,1),(24,1),(30,1)}
        15:{4,6,7}:{(6,1),(7,1),(25,1),(148,1)}
        16:{3,5,7}:{(7,1),(8,1),(9,1),(25,1),(26,1)}
        17:{2,5,6}:{(8,1),(10,1),(26,1),(27,1),(112,1),(139,1)}
        18:{2,4,7}:{(9,1),(10,1),(22,1),(26,1),(28,1)}
        19:{1,4,6}:{(10,1),(11,1),(23,1),(27,1),(28,1),(29,1)}
        20:{2,4,5}:{(11,1),(24,1),(29,1),(30,1),(49,1),(81,1),(85,1)}
        21:{2,4}:{(12,1),(24,1),(32,1)}
        22:{2,3,7}:{(13,1),(18,1),(34,1)}
        23:{1,3,6}:{(13,1),(14,1),(19,1),(34,1),(35,1),(41,1)}
        24:{2,5}:{(14,1),(21,1),(35,1)}
        25:{3,6,7}:{(15,1),(16,1),(37,1),(145,1)}
        26:{2,5,7}:{(16,1),(17,1),(18,1),(37,1),(38,1)}
        27:{1,5,6}:{(17,1),(19,1),(38,1),(39,1),(97,1),(130,1)}
        28:{1,4,7}:{(18,1),(19,1),(34,1),(38,1),(40,1)}
        29:{2,4,6}:{(19,1),(20,1),(35,1),(39,1),(40,1),(41,1),(68,1)}
        30:{3,5}:{(20,1),(41,1),(42,1)}
        31:{1,2,4}:{(21,1),(33,1),(43,1),(62,1),(72,1)}
        32:{2,3}:{(21,1),(43,1)}
        33:{1,2,5}:{(24,1),(31,1),(45,1),(46,1),(89,1)}
        34:{1,3,7}:{(22,1),(23,1),(28,1),(47,1),(53,1)}
        35:{2,6}:{(23,1),(24,1),(47,1)}
        36:{2,3,5}:{(24,1),(30,1),(32,1),(46,1),(48,1),(49,1),(81,1)}
        37:{2,6,7}:{(25,1),(26,1),(50,1),(139,1)}
        38:{1,5,7}:{(26,1),(27,1),(28,1),(50,1),(51,1)}
        39:{2,5,6}:{(27,1),(29,1),(51,1),(52,1),(81,1),(117,1)}
        40:{2,4,7}:{(28,1),(29,1),(47,1),(51,1),(53,1),(84,1)}
        41:{3,6}:{(29,1),(30,1),(53,1)}
        42:{3,4}:{(30,1),(49,1)}
        43:{1,3}:{(31,1),(32,1),(56,1)}
        44:{2,3,4}:{(32,1),(49,1),(57,1),(58,1)}
        45:{1,2,6}:{(33,1),(35,1),(60,1),(61,1),(107,1)}
        46:{1,3,5}:{(33,1),(36,1),(43,1),(59,1),(61,1),(62,1),(97,1)}
        47:{2,7}:{(34,1),(35,1)}
        48:{2,3,6}:{(35,1),(36,1),(41,1),(61,1),(63,1),(64,1)}
        49:{2,4}:{(36,1),(42,1),(62,1)}
        50:{1,6,7}:{(37,1),(38,1),(66,1),(130,1)}
        51:{2,5,7}:{(38,1),(39,1),(40,1),(66,1),(67,1)}
        52:{3,5,6}:{(39,1),(41,1),(67,1),(68,1),(70,1),(105,1),(133,1)}
        53:{3,7}:{(40,1),(41,1)}
        54:{3,4,6}:{(41,1),(42,1),(64,1),(68,1),(69,1),(70,1),(105,1)}
        55:{3,4,5}:{(42,1),(65,1),(70,1),(71,1)}
        56:{2,3}:{(43,1),(72,1)}
        57:{1,3,4}:{(43,1),(44,1),(62,1),(72,1),(73,1),(92,1)}
        58:{2,3,5}:{(44,1),(65,1),(73,1),(74,1)}
        59:{2,3,5}:{(46,1),(56,1),(75,1),(76,1),(89,1),(110,1),(112,1)}
        60:{1,2,7}:{(45,1),(47,1),(77,1),(123,1)}
        61:{1,3,6}:{(45,1),(46,1),(48,1),(75,1),(77,1),(78,1)}
        62:{1,4}:{(46,1),(49,1),(76,1)}
        63:{2,3,7}:{(47,1),(48,1),(53,1),(77,1),(80,1)}
        64:{2,4,6}:{(48,1),(49,1),(54,1),(78,1),(80,1),(81,1),(117,1)}
        65:{2,4,5}:{(49,1),(55,1),(58,1),(79,1),(81,1),(82,1)}
        66:{2,6,7}:{(50,1),(51,1),(83,1),(117,1)}
        67:{3,5,7}:{(51,1),(52,1),(53,1),(83,1),(84,1),(119,1)}
        68:{4,6}:{(52,1),(84,1),(85,1)}
        69:{3,4,7}:{(53,1),(54,1),(80,1),(84,1),(86,1)}
        70:{3,5}:{(54,1),(81,1),(85,1)}
        71:{3,4,6}:{(55,1),(82,1),(87,1),(88,1)}
        72:{2,4}:{(56,1),(57,1),(89,1)}
        73:{1,3,5}:{(57,1),(58,1),(79,1),(89,1),(90,1),(110,1)}
        74:{2,3,6}:{(58,1),(82,1),(90,1),(91,1)}
        75:{2,3,6}:{(59,1),(61,1),(93,1),(94,1),(107,1),(126,1)}
        76:{2,4}:{(59,1),(62,1),(92,1)}
        77:{1,3,7}:{(60,1),(61,1),(63,1),(93,1),(96,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(94,1),(96,1),(97,1),(130,1)}
        79:{1,4,5}:{(62,1),(65,1),(73,1),(95,1),(97,1),(98,1)}
        80:{2,4,7}:{(63,1),(64,1),(69,1),(96,1),(99,1)}
        81:{2,5}:{(64,1),(70,1),(97,1)}
        82:{2,4,6}:{(65,1),(71,1),(74,1),(98,1),(100,1),(101,1)}
        83:{3,6,7}:{(66,1),(67,1),(102,1),(105,1)}
        84:{4,7}:{(67,1),(68,1)}
        85:{4,5}:{(68,1),(70,1)}
        86:{3,5,7}:{(69,1),(70,1),(99,1),(103,1),(105,1)}
        87:{3,5,6}:{(70,1),(71,1),(100,1),(104,1),(105,1),(106,1)}
        88:{3,4,7}:{(71,1),(101,1),(106,1)}
        89:{2,5}:{(72,1),(73,1),(107,1)}
        90:{1,3,6}:{(73,1),(74,1),(98,1),(107,1),(108,1),(126,1)}
        91:{2,3,7}:{(74,1),(101,1),(108,1)}
        92:{3,4}:{(76,1),(110,1)}
        93:{2,3,7}:{(75,1),(77,1),(111,1),(123,1),(138,1)}
        94:{2,4,6}:{(75,1),(76,1),(78,1),(109,1),(111,1),(112,1),(139,1)}
        95:{2,4,5}:{(76,1),(79,1),(89,1),(110,1),(112,1),(113,1),(135,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(114,1)}
        97:{1,5}:{(78,1),(81,1),(112,1)}
        98:{1,4,6}:{(79,1),(82,1),(90,1),(113,1),(115,1),(116,1)}
        99:{2,5,7}:{(80,1),(81,1),(86,1),(114,1),(117,1)}
       100:{2,5,6}:{(81,1),(82,1),(87,1),(115,1),(117,1),(118,1)}
       101:{2,4,7}:{(82,1),(88,1),(91,1),(116,1),(118,1)}
       102:{4,6,7}:{(83,1),(84,1),(119,1),(120,1)}
       103:{4,5,7}:{(84,1),(85,1),(86,1),(119,1),(120,1)}
       104:{4,5,6}:{(85,1),(87,1),(120,1),(121,1)}
       105:{3,6}:{(86,1),(117,1),(120,1)}
       106:{3,5,7}:{(87,1),(88,1),(118,1),(121,1),(122,1)}
       107:{2,6}:{(89,1),(90,1),(123,1)}
       108:{1,3,7}:{(90,1),(91,1),(116,1),(123,1),(138,1)}
       109:{3,4,6}:{(92,1),(94,1),(124,1),(125,1),(126,1),(144,1),(145,1)}
       110:{3,5}:{(92,1),(95,1),(126,1)}
       111:{2,4,7}:{(93,1),(94,1),(96,1),(124,1),(127,1)}
       112:{2,5}:{(94,1),(97,1),(125,1)}
       113:{2,4,6}:{(95,1),(98,1),(107,1),(126,1),(128,1),(129,1),(144,1)}
       114:{1,5,7}:{(96,1),(97,1),(99,1),(127,1),(130,1)}
       115:{1,5,6}:{(97,1),(98,1),(100,1),(128,1),(130,1),(131,1)}
       116:{1,4,7}:{(98,1),(101,1),(108,1),(129,1),(131,1)}
       117:{2,6}:{(99,1),(105,1),(130,1)}
       118:{2,5,7}:{(100,1),(101,1),(106,1),(131,1),(132,1)}
       119:{5,7}:{(102,1),(133,1)}
       120:{4,6}:{(103,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(106,1),(134,1)}
       122:{3,6,7}:{(105,1),(106,1),(132,1),(134,1)}
       123:{2,7}:{(107,1),(108,1)}
       124:{3,4,7}:{(109,1),(111,1),(136,1),(138,1),(149,1)}
       125:{3,5}:{(109,1),(112,1),(135,1)}
       126:{3,6}:{(110,1),(113,1),(138,1)}
       127:{2,5,7}:{(111,1),(112,1),(114,1),(136,1),(139,1)}
       128:{2,5,6}:{(112,1),(113,1),(115,1),(137,1),(139,1),(140,1)}
       129:{2,4,7}:{(113,1),(116,1),(123,1),(138,1),(140,1),(149,1)}
       130:{1,6}:{(114,1),(117,1),(139,1)}
       131:{1,5,7}:{(115,1),(116,1),(118,1),(140,1),(141,1)}
       132:{2,6,7}:{(117,1),(118,1),(122,1),(141,1)}
       133:{5,6}:{(119,1),(120,1)}
       134:{4,6,7}:{(120,1),(121,1),(122,1),(142,1)}
       135:{4,5}:{(125,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(127,1),(143,1),(145,1)}
       137:{3,5,6}:{(125,1),(126,1),(128,1),(144,1),(145,1),(146,1),(151,1)}
       138:{3,7}:{(126,1),(129,1)}
       139:{2,6}:{(127,1),(130,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(131,1),(146,1),(147,1)}
       141:{1,6,7}:{(130,1),(131,1),(132,1),(147,1)}
       142:{5,6,7}:{(133,1),(134,1)}
       143:{4,5,7}:{(135,1),(136,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(135,1),(137,1),(149,1)}
       145:{3,6}:{(136,1),(139,1),(148,1)}
       146:{3,5,7}:{(137,1),(138,1),(140,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 937 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(128,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(108,1),(128,1)}
         5:{3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
         6:{4,6,7}:{(1,1),(2,1),(13,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
         8:{2,5,6}:{(3,1),(12,1),(14,1),(15,1),(116,1),(139,1)}
         9:{2,4,5}:{(4,1),(12,1),(16,1),(17,1),(91,1),(116,1)}
        10:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        11:{3,4,7}:{(5,1),(7,1),(20,1)}
        12:{2,4,6}:{(5,1),(8,1),(9,1),(19,1),(20,1),(21,1)}
        13:{3,6,7}:{(6,1),(7,1),(22,1),(145,1)}
        14:{2,5,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{1,5,6}:{(8,1),(21,1),(23,1),(24,1),(101,1),(131,1)}
        16:{2,3,5}:{(9,1),(10,1),(19,1),(25,1)}
        17:{1,4,5}:{(9,1),(21,1),(25,1),(26,1),(75,1),(101,1)}
        18:{1,3,4}:{(10,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(12,1),(16,1),(28,1),(29,1)}
        20:{2,4,7}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
        21:{1,4,6}:{(12,1),(15,1),(17,1),(29,1),(30,1),(31,1)}
        22:{2,6,7}:{(13,1),(14,1),(32,1),(139,1)}
        23:{1,5,7}:{(14,1),(15,1),(30,1),(32,1),(33,1)}
        24:{2,5,6}:{(15,1),(31,1),(33,1),(34,1),(85,1),(119,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(29,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(31,1),(35,1),(36,1),(58,1),(60,1),(85,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{2,3,7}:{(19,1),(20,1),(39,1)}
        29:{1,3,6}:{(19,1),(21,1),(25,1),(39,1),(40,1),(42,1)}
        30:{1,4,7}:{(20,1),(21,1),(23,1),(39,1),(41,1)}
        31:{2,4,6}:{(21,1),(24,1),(26,1),(40,1),(41,1),(42,1),(45,1)}
        32:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        33:{2,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,5,6}:{(24,1),(42,1),(44,1),(45,1),(70,1),(104,1),(106,1)}
        35:{2,5}:{(25,1),(27,1),(40,1)}
        36:{3,5}:{(26,1),(42,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{1,3,7}:{(28,1),(29,1),(30,1),(52,1),(54,1)}
        40:{2,6}:{(29,1),(35,1),(52,1)}
        41:{2,4,7}:{(30,1),(31,1),(33,1),(52,1),(54,1),(57,1)}
        42:{3,6}:{(31,1),(36,1),(54,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(119,1)}
        44:{3,5,7}:{(33,1),(34,1),(54,1),(56,1),(57,1),(88,1)}
        45:{4,6}:{(34,1),(57,1),(58,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(53,1),(59,1),(60,1),(85,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(40,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,7}:{(39,1),(40,1)}
        53:{2,3,6}:{(40,1),(42,1),(47,1),(66,1),(67,1),(68,1)}
        54:{3,7}:{(41,1),(42,1)}
        55:{3,4,6}:{(42,1),(45,1),(48,1),(68,1),(69,1),(70,1),(104,1)}
        56:{3,6,7}:{(43,1),(44,1),(71,1),(104,1)}
        57:{4,7}:{(44,1),(45,1)}
        58:{4,5}:{(45,1),(70,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(66,1),(74,1),(75,1),(101,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(70,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,2,7}:{(51,1),(52,1),(82,1),(126,1)}
        66:{1,3,6}:{(51,1),(53,1),(59,1),(81,1),(82,1),(83,1)}
        67:{2,3,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        68:{2,4,6}:{(53,1),(55,1),(60,1),(83,1),(84,1),(85,1),(119,1)}
        69:{3,4,7}:{(54,1),(55,1),(57,1),(84,1),(86,1)}
        70:{3,5}:{(55,1),(58,1),(85,1)}
        71:{4,6,7}:{(56,1),(57,1),(88,1),(89,1)}
        72:{4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        73:{4,5,6}:{(58,1),(87,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(116,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(85,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(87,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(66,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,3,7}:{(65,1),(66,1),(67,1),(98,1),(100,1)}
        83:{1,4,6}:{(66,1),(68,1),(75,1),(99,1),(100,1),(101,1),(131,1)}
        84:{2,4,7}:{(67,1),(68,1),(69,1),(100,1),(102,1)}
        85:{2,5}:{(68,1),(70,1),(101,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(102,1),(104,1)}
        87:{3,5,6}:{(70,1),(73,1),(77,1),(103,1),(104,1),(105,1)}
        88:{5,7}:{(71,1),(106,1)}
        89:{4,6}:{(72,1),(104,1),(106,1)}
        90:{4,5,7}:{(73,1),(105,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(101,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(103,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(105,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,3,7}:{(81,1),(82,1),(115,1),(126,1),(142,1)}
        99:{2,4,6}:{(81,1),(83,1),(91,1),(114,1),(115,1),(116,1),(139,1)}
       100:{1,4,7}:{(82,1),(83,1),(84,1),(115,1),(117,1)}
       101:{1,5}:{(83,1),(85,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(86,1),(117,1),(119,1)}
       103:{2,5,6}:{(85,1),(87,1),(93,1),(118,1),(119,1),(120,1)}
       104:{3,6}:{(86,1),(89,1),(119,1)}
       105:{3,5,7}:{(87,1),(90,1),(94,1),(120,1),(121,1)}
       106:{5,6}:{(88,1),(89,1)}
       107:{4,6,7}:{(89,1),(90,1),(121,1),(122,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(116,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(118,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(120,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(99,1),(108,1),(127,1),(128,1),(134,1),(144,1),(145,1)}
       115:{2,4,7}:{(98,1),(99,1),(100,1),(127,1),(129,1)}
       116:{2,5}:{(99,1),(101,1),(128,1)}
       117:{1,5,7}:{(100,1),(101,1),(102,1),(129,1),(131,1)}
       118:{1,5,6}:{(101,1),(103,1),(110,1),(130,1),(131,1),(132,1)}
       119:{2,6}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(105,1),(111,1),(132,1),(133,1)}
       121:{3,6,7}:{(104,1),(105,1),(107,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(130,1),(134,1),(135,1),(144,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(132,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,4,7}:{(114,1),(115,1),(137,1),(142,1),(149,1)}
       128:{3,5}:{(114,1),(116,1),(136,1)}
       129:{2,5,7}:{(115,1),(116,1),(117,1),(137,1),(139,1)}
       130:{2,5,6}:{(116,1),(118,1),(124,1),(138,1),(139,1),(140,1)}
       131:{1,6}:{(117,1),(119,1),(139,1)}
       132:{1,5,7}:{(118,1),(120,1),(125,1),(140,1),(141,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(149,1)}
       136:{4,5}:{(128,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(129,1),(143,1),(145,1)}
       138:{3,5,6}:{(128,1),(130,1),(134,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(129,1),(131,1),(145,1)}
       140:{2,5,7}:{(130,1),(132,1),(135,1),(146,1),(147,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 938 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 939 :   0:{3,4,6,7}:{(2,1),(3,1),(15,1),(23,1),(38,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(38,1),(62,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(13,1),(25,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(7,1),(11,1),(12,1),(26,1),(50,1),(74,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(13,1),(29,1),(53,1),(58,1)}
         6:{3,5,6}:{(3,1),(14,1),(15,1),(38,1),(103,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(37,1)}
         8:{2,5,7}:{(2,1),(3,1),(14,1),(17,1)}
         9:{4,5,7}:{(3,1),(15,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(20,1),(38,1),(43,1),(62,1),(67,1),(68,1),(103,1)}
        11:{2,6,7}:{(4,1),(21,1),(62,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(17,1),(19,1),(21,1),(22,1),(39,1),(46,1),(65,1),(70,1)}
        13:{2,4,7}:{(5,1),(20,1),(22,1),(23,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(100,1)}
        15:{4,6}:{(6,1),(9,1),(104,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(26,1),(27,1),(34,1),(49,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(13,1),(25,1),(28,1),(29,1),(30,1),(53,1),(93,1),(100,1),(104,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(24,1),(31,1),(32,1),(48,1),(50,1),(55,1),(56,1),(74,1),(79,1),(80,1)}
        20:{2,4,6}:{(10,1),(13,1),(30,1),(32,1),(33,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(31,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
        23:{3,4,7}:{(13,1),(29,1),(33,1),(104,1)}
        24:{1,5,6}:{(14,1),(17,1),(36,1),(37,1),(96,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1),(62,1)}
        26:{3,6,7}:{(16,1),(39,1),(46,1),(61,1)}
        27:{2,5,7}:{(16,1),(17,1),(36,1),(39,1)}
        28:{1,4,5,7}:{(17,1),(18,1),(22,1),(37,1),(40,1),(41,1),(42,1),(65,1),(85,1),(96,1)}
        29:{3,5,7}:{(18,1),(23,1),(38,1),(43,1),(98,1),(103,1)}
        30:{2,4,5}:{(20,1),(42,1),(43,1),(67,1),(99,1)}
        31:{2,5,6}:{(19,1),(21,1),(44,1),(62,1),(67,1),(89,1)}
        32:{1,4,6}:{(19,1),(20,1),(22,1),(42,1),(44,1),(60,1)}
        33:{3,4,6}:{(20,1),(23,1),(38,1),(43,1)}
        34:{2,4,7}:{(21,1),(22,1),(44,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(41,1),(45,1),(46,1),(47,1),(63,1),(70,1),(85,1),(98,1)}
        36:{2,5,6}:{(24,1),(27,1),(48,1),(49,1),(90,1)}
        37:{1,4,6}:{(24,1),(25,1),(28,1),(49,1),(50,1),(74,1)}
        38:{3,6}:{(25,1),(29,1)}
        39:{3,5,7}:{(26,1),(27,1),(48,1),(51,1)}
        40:{2,4,5,7}:{(27,1),(28,1),(34,1),(49,1),(51,1),(52,1),(53,1),(54,1),(71,1),(75,1),(90,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(35,1),(50,1),(52,1),(53,1),(55,1)}
        42:{1,4,5}:{(30,1),(32,1),(54,1),(55,1),(71,1),(79,1),(94,1),(104,1)}
        43:{3,5}:{(30,1),(33,1),(102,1)}
        44:{2,4,6}:{(31,1),(32,1),(34,1),(54,1),(56,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(50,1),(55,1),(56,1),(57,1),(72,1),(77,1),(80,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{3,7}:{(34,1),(56,1)}
        47:{2,4,7}:{(35,1),(53,1),(57,1),(58,1),(59,1),(81,1)}
        48:{3,5,6}:{(36,1),(39,1),(60,1),(61,1),(82,1)}
        49:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(61,1),(62,1)}
        50:{1,3,6}:{(37,1),(38,1),(41,1),(61,1),(62,1)}
        51:{4,7}:{(39,1),(60,1)}
        52:{3,5,7}:{(40,1),(46,1),(61,1),(63,1),(66,1),(82,1)}
        53:{2,5,7}:{(41,1),(47,1),(62,1),(65,1),(67,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(67,1),(87,1)}
        55:{1,3,5}:{(42,1),(43,1),(45,1),(66,1),(67,1),(82,1),(96,1),(103,1)}
        56:{3,6}:{(44,1),(46,1),(66,1)}
        57:{2,4,6}:{(45,1),(47,1),(62,1),(67,1),(68,1),(69,1),(87,1),(89,1),(99,1)}
        58:{2,3,7}:{(46,1),(47,1),(68,1),(70,1),(98,1)}
        59:{1,4,7}:{(47,1),(65,1),(69,1),(70,1)}
        60:{4,6}:{(48,1),(51,1),(71,1)}
        61:{3,6}:{(49,1),(52,1)}
        62:{2,6}:{(50,1),(53,1),(74,1)}
        63:{3,4,7}:{(51,1),(52,1),(72,1),(75,1),(77,1)}
        64:{2,3,5,7}:{(52,1),(53,1),(58,1),(73,1),(75,1),(76,1),(78,1),(90,1)}
        65:{1,5,7}:{(53,1),(59,1),(74,1),(79,1)}
        66:{3,5}:{(54,1),(56,1),(77,1)}
        67:{2,5}:{(55,1),(57,1),(79,1)}
        68:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1),(101,1),(102,1)}
        69:{1,4,6}:{(57,1),(59,1),(74,1),(79,1),(80,1),(94,1)}
        70:{1,3,7}:{(58,1),(59,1),(80,1),(81,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(63,1),(82,1),(83,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1)}
        74:{1,6}:{(62,1),(65,1)}
        75:{2,4,7}:{(63,1),(64,1),(83,1),(85,1),(87,1)}
        76:{1,3,5,7}:{(64,1),(65,1),(70,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(87,1),(88,1),(103,1)}
        79:{1,5}:{(67,1),(69,1)}
        80:{1,3,6}:{(68,1),(69,1),(70,1),(88,1),(89,1)}
        81:{2,7}:{(70,1),(89,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(75,1),(90,1),(91,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(91,1),(92,1),(101,1)}
        85:{1,4,7}:{(75,1),(76,1),(91,1),(93,1),(94,1),(104,1)}
        86:{2,5,7}:{(76,1),(81,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(80,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(80,1),(81,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,6}:{(84,1),(86,1)}
        93:{2,4,7}:{(85,1),(86,1),(97,1),(98,1),(99,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(93,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 940 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(14,1),(22,1),(41,1),(47,1),(49,1),(81,1),(86,1),(87,1),(117,1),(143,1)}
         1:{2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(28,1),(31,1),(37,1),(64,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(35,1),(105,1),(106,1),(132,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(26,1),(30,1),(61,1),(67,1),(69,1),(100,1),(164,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(22,1),(41,1),(57,1),(93,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(16,1),(41,1),(76,1),(81,1),(117,1)}
         6:{1,4,6}:{(1,1),(14,1),(17,1),(18,1),(47,1),(54,1)}
         7:{2,5}:{(1,1),(2,1),(17,1)}
         8:{2,4,7}:{(1,1),(3,1),(16,1),(18,1),(20,1),(46,1),(169,1)}
         9:{1,4,5}:{(2,1),(12,1),(19,1),(47,1),(89,1),(122,1),(143,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(55,1),(156,1),(160,1)}
        11:{2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(37,1)}
        12:{1,4,6}:{(4,1),(9,1),(24,1),(26,1),(94,1),(110,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(61,1),(63,1),(98,1)}
        14:{1,3,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(94,1)}
        15:{2,3,5}:{(5,1),(7,1),(29,1),(31,1),(35,1),(71,1),(99,1),(132,1)}
        16:{2,3,7}:{(5,1),(8,1),(30,1),(61,1),(95,1),(100,1),(171,1)}
        17:{1,5}:{(6,1),(7,1)}
        18:{1,4,7}:{(6,1),(8,1),(30,1),(34,1),(172,1)}
        19:{2,4,5}:{(7,1),(9,1),(24,1),(31,1),(33,1),(35,1),(64,1),(71,1)}
        20:{2,5,7}:{(7,1),(8,1),(10,1),(34,1),(37,1),(162,1),(165,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(26,1),(36,1),(38,1),(63,1),(67,1),(105,1),(107,1),(148,1),(153,1)}
        22:{1,3,6}:{(10,1),(37,1),(38,1),(74,1)}
        23:{1,5,6}:{(11,1),(17,1),(39,1),(40,1),(54,1)}
        24:{2,4,6}:{(11,1),(12,1),(19,1),(39,1),(41,1),(42,1),(76,1)}
        25:{2,5,7}:{(11,1),(13,1),(40,1),(42,1),(43,1)}
        26:{1,4,7}:{(12,1),(13,1),(42,1),(111,1),(114,1)}
        27:{1,3,6,7}:{(13,1),(22,1),(43,1),(44,1),(79,1),(156,1)}
        28:{2,6}:{(14,1),(45,1),(46,1)}
        29:{1,3,5}:{(14,1),(15,1),(17,1),(45,1),(47,1),(81,1),(89,1),(115,1)}
        30:{1,3,7}:{(14,1),(16,1),(18,1),(46,1),(111,1),(173,1)}
        31:{2,4}:{(15,1),(47,1),(49,1),(143,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(20,1),(48,1),(50,1),(51,1),(55,1),(88,1),(90,1),(116,1),(142,1)}
        33:{1,4,5}:{(17,1),(19,1),(39,1),(47,1),(52,1)}
        34:{1,5,7}:{(17,1),(18,1),(20,1),(54,1),(167,1),(170,1)}
        35:{3,5}:{(19,1),(41,1),(49,1),(81,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(50,1),(53,1),(55,1),(56,1),(80,1),(82,1),(88,1),(90,1),(114,1),(118,1),(122,1),(139,1),(143,1),(145,1)}
        37:{2,6}:{(20,1),(22,1),(54,1)}
        38:{1,4,6}:{(21,1),(22,1),(56,1),(57,1),(123,1)}
        39:{1,4,6}:{(23,1),(24,1),(33,1),(58,1),(59,1)}
        40:{1,5,7}:{(23,1),(25,1),(59,1),(60,1)}
        41:{3,6}:{(24,1),(35,1),(61,1)}
        42:{2,4,7}:{(24,1),(25,1),(26,1),(59,1),(61,1),(95,1)}
        43:{2,6,7}:{(25,1),(27,1),(37,1),(60,1),(162,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(38,1),(62,1),(63,1),(126,1),(148,1)}
        45:{2,5}:{(28,1),(29,1),(64,1),(129,1)}
        46:{2,7}:{(28,1),(30,1),(174,1)}
        47:{1,4}:{(29,1),(31,1),(64,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(32,1),(34,1),(65,1),(67,1),(68,1),(100,1),(105,1),(107,1),(130,1),(132,1),(151,1)}
        49:{3,4}:{(31,1),(35,1)}
        50:{2,4,7}:{(31,1),(32,1),(67,1),(69,1),(70,1),(152,1)}
        51:{2,3,6}:{(32,1),(37,1),(68,1),(70,1),(74,1),(108,1)}
        52:{1,3,5}:{(33,1),(35,1),(58,1),(66,1),(71,1)}
        53:{1,4,5,7}:{(33,1),(34,1),(36,1),(59,1),(67,1),(72,1),(73,1),(97,1),(105,1),(128,1),(135,1)}
        54:{1,6}:{(34,1),(37,1)}
        55:{3,5,7}:{(35,1),(36,1),(61,1),(69,1),(74,1),(100,1),(106,1),(132,1),(149,1),(154,1)}
        56:{2,4,6}:{(36,1),(37,1),(38,1),(73,1),(74,1),(75,1),(108,1),(110,1)}
        57:{1,5,6}:{(38,1),(63,1),(75,1),(105,1)}
        58:{1,3,6}:{(39,1),(41,1),(52,1),(76,1),(77,1)}
        59:{1,4,7}:{(39,1),(40,1),(42,1),(77,1)}
        60:{1,6,7}:{(40,1),(43,1),(54,1),(167,1)}
        61:{3,7}:{(41,1),(42,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(44,1),(56,1),(78,1),(79,1),(80,1),(112,1),(114,1),(139,1)}
        63:{1,5,7}:{(44,1),(57,1),(80,1)}
        64:{2,4}:{(45,1),(47,1),(81,1)}
        65:{2,5,7}:{(45,1),(46,1),(48,1),(82,1),(83,1),(118,1),(140,1),(157,1)}
        66:{1,3,4}:{(47,1),(49,1),(52,1),(81,1),(84,1),(115,1)}
        67:{1,4,7}:{(47,1),(48,1),(50,1),(82,1),(86,1),(143,1),(158,1)}
        68:{1,3,6}:{(48,1),(51,1),(54,1),(83,1),(86,1),(117,1),(123,1)}
        69:{3,4,7}:{(49,1),(50,1),(55,1),(87,1),(114,1),(143,1),(159,1)}
        70:{2,4,6}:{(50,1),(51,1),(86,1),(87,1),(88,1)}
        71:{2,5}:{(52,1),(76,1),(84,1),(89,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(77,1),(85,1),(90,1),(91,1),(121,1)}
        73:{1,4,6}:{(53,1),(54,1),(56,1),(91,1),(92,1)}
        74:{3,6}:{(55,1),(56,1)}
        75:{2,5,6}:{(56,1),(57,1),(80,1),(88,1),(92,1),(93,1),(118,1)}
        76:{2,6}:{(58,1),(71,1),(94,1),(95,1)}
        77:{1,3,7}:{(58,1),(59,1),(61,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(62,1),(73,1),(96,1),(97,1),(128,1)}
        79:{3,6,7}:{(61,1),(62,1),(74,1),(98,1),(149,1)}
        80:{2,5,7}:{(62,1),(63,1),(75,1),(97,1),(98,1)}
        81:{3}:{(64,1)}
        82:{2,4,7}:{(64,1),(65,1),(67,1),(100,1),(101,1),(163,1)}
        83:{2,6}:{(65,1),(68,1)}
        84:{2,4}:{(66,1),(71,1),(99,1),(102,1),(129,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(69,1),(72,1),(100,1),(103,1),(104,1),(128,1),(130,1),(149,1)}
        86:{1,4,6}:{(67,1),(68,1),(70,1),(101,1),(105,1)}
        87:{3,4,6}:{(69,1),(70,1),(74,1),(106,1),(110,1)}
        88:{2,5}:{(70,1),(105,1),(106,1)}
        89:{1,5}:{(71,1),(94,1),(102,1)}
        90:{2,5,7}:{(71,1),(72,1),(95,1),(103,1),(107,1),(108,1),(134,1)}
        91:{1,3,6}:{(72,1),(73,1),(74,1),(108,1)}
        92:{1,5,6}:{(73,1),(75,1),(97,1),(105,1)}
        93:{3,5,6}:{(74,1),(75,1),(98,1),(106,1),(110,1),(132,1)}
        94:{1,6}:{(76,1),(89,1),(111,1)}
        95:{2,7}:{(76,1),(77,1),(111,1)}
        96:{1,3,6,7}:{(77,1),(78,1),(79,1),(91,1),(112,1),(113,1)}
        97:{1,5,7}:{(78,1),(80,1),(92,1)}
        98:{3,5,7}:{(79,1),(80,1),(93,1),(114,1)}
        99:{2,3}:{(81,1),(84,1),(115,1)}
       100:{3,7}:{(81,1),(82,1),(117,1),(168,1)}
       101:{2,4,6}:{(82,1),(83,1),(86,1),(117,1),(118,1),(143,1)}
       102:{1,4}:{(84,1),(89,1),(115,1)}
       103:{2,4,7}:{(84,1),(85,1),(90,1),(116,1),(119,1),(120,1),(140,1)}
       104:{1,3,4,6}:{(85,1),(86,1),(87,1),(91,1),(117,1),(120,1),(121,1),(125,1),(141,1),(143,1),(147,1),(158,1),(159,1),(168,1)}
       105:{1,5}:{(86,1),(88,1),(118,1)}
       106:{3,5}:{(87,1),(88,1),(122,1)}
       107:{1,5,7}:{(89,1),(90,1),(111,1),(119,1),(123,1),(144,1)}
       108:{2,6}:{(90,1),(91,1),(123,1)}
       109:{1,3,5,6}:{(91,1),(92,1),(93,1),(113,1),(121,1),(124,1),(125,1),(147,1)}
       110:{4,6}:{(93,1),(114,1),(122,1),(143,1)}
       111:{1,7}:{(94,1),(95,1)}
       112:{2,6,7}:{(95,1),(96,1),(108,1),(126,1),(127,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(98,1),(109,1),(127,1),(128,1),(149,1)}
       114:{4,7}:{(98,1),(110,1)}
       115:{1,3}:{(99,1),(102,1),(129,1)}
       116:{2,3,7}:{(99,1),(100,1),(103,1),(130,1),(131,1),(149,1),(162,1)}
       117:{3,6}:{(100,1),(101,1),(132,1)}
       118:{2,5}:{(101,1),(105,1),(132,1)}
       119:{1,4,7}:{(102,1),(103,1),(107,1),(130,1),(133,1)}
       120:{2,4,6}:{(103,1),(104,1),(108,1),(131,1),(133,1),(134,1),(150,1),(152,1),(163,1)}
       121:{1,3,5}:{(104,1),(105,1),(106,1),(132,1),(134,1),(135,1),(154,1)}
       122:{4,5}:{(106,1),(110,1)}
       123:{1,6}:{(107,1),(108,1)}
       124:{2,5,6}:{(108,1),(109,1),(127,1),(134,1),(136,1),(137,1)}
       125:{1,4,6}:{(109,1),(110,1),(128,1),(135,1),(137,1),(166,1)}
       126:{1,6,7}:{(111,1),(112,1),(123,1),(138,1)}
       127:{2,5,7}:{(112,1),(113,1),(124,1),(138,1),(139,1)}
       128:{1,4,7}:{(113,1),(114,1),(125,1),(139,1),(167,1)}
       129:{2}:{(115,1)}
       130:{1,3,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(167,1)}
       131:{2,3,6}:{(116,1),(117,1),(120,1),(141,1),(142,1),(147,1),(161,1),(168,1)}
       132:{3,5}:{(117,1),(118,1),(143,1)}
       133:{1,4,6}:{(119,1),(120,1),(123,1),(141,1),(144,1),(158,1)}
       134:{2,5}:{(120,1),(121,1),(144,1)}
       135:{1,4,5}:{(121,1),(122,1),(125,1),(143,1),(145,1),(158,1),(170,1)}
       136:{1,5,6}:{(123,1),(124,1),(138,1),(144,1),(146,1)}
       137:{2,4,6}:{(124,1),(125,1),(139,1),(145,1),(146,1),(147,1),(161,1)}
       138:{1,5,7}:{(126,1),(127,1),(136,1),(148,1)}
       139:{2,4,7}:{(127,1),(128,1),(137,1),(148,1),(149,1),(162,1)}
       140:{2,7}:{(129,1),(130,1),(150,1)}
       141:{1,3,6}:{(130,1),(131,1),(133,1),(150,1),(151,1),(166,1)}
       142:{2,3,5}:{(131,1),(132,1),(134,1),(151,1),(152,1),(154,1),(165,1),(171,1)}
       143:{4}:{(132,1)}
       144:{1,5}:{(133,1),(134,1)}
       145:{2,4,5}:{(134,1),(135,1),(137,1),(152,1),(153,1),(154,1),(163,1),(165,1)}
       146:{1,4,6}:{(136,1),(137,1),(148,1),(153,1),(155,1)}
       147:{3,6}:{(137,1),(149,1),(154,1)}
       148:{1,4,7}:{(138,1),(139,1),(146,1),(156,1)}
       149:{3,7}:{(139,1),(147,1)}
       150:{2,6}:{(140,1),(141,1),(157,1)}
       151:{1,3,5}:{(141,1),(142,1),(144,1),(157,1),(158,1),(168,1),(170,1),(173,1)}
       152:{2,4}:{(142,1),(143,1),(158,1),(159,1)}
       153:{1,4,5}:{(144,1),(145,1),(146,1),(158,1),(160,1)}
       154:{3,5}:{(145,1),(147,1),(159,1),(168,1)}
       155:{1,3,6}:{(146,1),(147,1),(156,1),(160,1),(161,1)}
       156:{1,3,7}:{(148,1),(149,1),(155,1),(162,1)}
       157:{2,5}:{(150,1),(151,1),(163,1),(174,1)}
       158:{1,4}:{(151,1),(152,1),(163,1)}
       159:{3,4}:{(152,1),(154,1)}
       160:{1,3,5}:{(153,1),(154,1),(155,1),(164,1),(165,1)}
       161:{2,6}:{(155,1),(162,1),(165,1),(166,1)}
       162:{2,7}:{(156,1),(161,1),(167,1)}
       163:{2,4}:{(157,1),(158,1),(168,1)}
       164:{1,3,4}:{(158,1),(159,1),(160,1),(168,1),(169,1),(173,1)}
       165:{2,5}:{(160,1),(161,1),(169,1),(170,1)}
       166:{1,6}:{(161,1),(167,1),(170,1)}
       167:{1,7}:{(162,1),(166,1)}
       168:{3}:{(163,1)}
       169:{2,4}:{(164,1),(165,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(165,1),(166,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 941 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(25,1),(66,1),(136,1),(155,1),(169,1),(231,1),(237,1),(271,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(37,1),(47,1),(88,1),(110,1),(117,1),(190,1),(218,1),(225,1),(226,1),(298,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(288,1),(295,1),(332,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(30,1),(107,1),(191,1),(210,1),(291,1),(299,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(15,1),(25,1),(61,1),(82,1),(136,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(16,1),(61,1),(82,1),(175,1),(230,1),(257,1),(349,1),(467,1),(519,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(74,1),(78,1),(251,1),(284,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(76,1),(278,1),(285,1),(357,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(55,1),(69,1),(137,1),(161,1),(170,1),(252,1),(362,1)}
         9:{2,4,5}:{(2,1),(12,1),(21,1),(23,1),(155,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(348,1),(358,1)}
        11:{1,3,5,6}:{(4,1),(7,1),(26,1),(27,1),(28,1),(47,1),(88,1),(100,1),(124,1),(190,1),(229,1)}
        12:{2,4,6}:{(4,1),(9,1),(27,1),(29,1),(30,1)}
        13:{2,3,5,7}:{(4,1),(28,1),(30,1),(31,1),(35,1),(95,1),(101,1),(191,1)}
        14:{1,4,5,6}:{(5,1),(27,1),(32,1),(33,1),(34,1),(100,1),(124,1),(178,1),(198,1),(297,1),(426,1)}
        15:{3,5,6}:{(5,1),(29,1),(35,1),(288,1),(318,1),(403,1)}
        16:{2,4,5,7}:{(5,1),(30,1),(34,1),(35,1),(36,1),(95,1),(101,1),(195,1),(319,1),(428,1),(497,1)}
        17:{1,2,4,6}:{(6,1),(37,1),(38,1),(39,1),(105,1),(110,1),(113,1),(218,1),(298,1),(301,1),(338,1)}
        18:{2,3,6}:{(6,1),(37,1),(41,1),(42,1),(88,1),(342,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(312,1)}
        21:{1,4,5}:{(7,1),(9,1),(27,1),(43,1),(110,1),(343,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(121,1),(413,1)}
        23:{3,4,5}:{(9,1),(29,1),(209,1),(288,1),(534,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(30,1),(46,1),(48,1),(49,1),(95,1),(210,1),(332,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(403,1),(414,1)}
        26:{2,5,6}:{(11,1),(19,1),(52,1),(53,1),(78,1),(251,1)}
        27:{1,4,6}:{(11,1),(12,1),(21,1),(52,1),(55,1),(286,1)}
        28:{1,3,5,7}:{(11,1),(13,1),(53,1),(55,1),(56,1),(137,1),(141,1),(150,1),(252,1),(253,1)}
        29:{3,4,6}:{(12,1),(15,1),(23,1),(57,1),(519,1)}
        30:{2,4,7}:{(12,1),(13,1),(55,1),(57,1)}
        31:{2,3,6,7}:{(13,1),(25,1),(56,1),(58,1),(64,1),(151,1)}
        32:{2,4,5,6}:{(14,1),(52,1),(59,1),(60,1),(61,1),(132,1),(144,1),(174,1),(246,1),(286,1),(376,1),(377,1)}
        33:{1,3,5,6}:{(14,1),(15,1),(54,1),(59,1),(61,1),(62,1),(235,1),(359,1)}
        34:{1,4,5,7}:{(14,1),(16,1),(55,1),(60,1),(62,1),(63,1),(141,1),(150,1),(258,1),(380,1)}
        35:{3,5,7}:{(15,1),(16,1),(57,1),(64,1),(378,1)}
        36:{2,4,6,7}:{(16,1),(63,1),(64,1),(65,1),(151,1),(152,1),(349,1)}
        37:{1,3,6}:{(17,1),(18,1),(66,1),(68,1),(69,1),(392,1)}
        38:{1,2,5}:{(17,1),(19,1),(68,1),(153,1),(278,1),(357,1)}
        39:{1,2,4,7}:{(17,1),(20,1),(69,1),(71,1),(154,1),(161,1),(362,1),(363,1)}
        40:{2,3,4,6}:{(18,1),(67,1),(72,1),(73,1),(74,1),(133,1),(164,1),(168,1),(171,1),(237,1),(269,1),(381,1)}
        41:{2,3,5}:{(18,1),(19,1),(68,1),(74,1),(76,1)}
        42:{2,3,7}:{(18,1),(20,1),(69,1),(137,1)}
        43:{2,4,5}:{(19,1),(21,1),(52,1),(74,1),(76,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(78,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(54,1),(76,1),(79,1),(143,1),(160,1),(172,1),(235,1),(254,1),(373,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(55,1),(77,1),(80,1),(141,1),(161,1),(278,1)}
        47:{1,3,6}:{(22,1),(25,1),(78,1),(80,1),(173,1),(459,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(57,1),(81,1),(142,1),(270,1),(348,1),(388,1),(454,1)}
        49:{2,4,6}:{(24,1),(25,1),(80,1),(81,1),(82,1)}
        50:{1,2,5,6}:{(26,1),(38,1),(83,1),(84,1),(85,1),(100,1),(113,1),(201,1),(206,1),(295,1),(301,1),(408,1),(412,1),(414,1),(480,1),(492,1)}
        51:{2,3,5,6}:{(26,1),(41,1),(83,1),(86,1),(87,1),(88,1),(119,1),(182,1),(185,1),(227,1),(229,1),(295,1),(307,1),(308,1),(414,1),(480,1),(484,1),(520,1),(531,1),(546,1),(547,1)}
        52:{2,4,6}:{(26,1),(27,1),(43,1),(88,1),(89,1)}
        53:{2,5,7}:{(26,1),(28,1),(89,1),(90,1),(312,1)}
        54:{1,3,4,6}:{(27,1),(29,1),(33,1),(45,1),(88,1),(91,1),(92,1),(96,1),(190,1),(198,1),(318,1)}
        55:{1,4,7}:{(27,1),(28,1),(30,1),(89,1),(313,1)}
        56:{1,3,6,7}:{(28,1),(31,1),(47,1),(90,1),(93,1),(192,1),(205,1)}
        57:{3,4,7}:{(29,1),(30,1),(35,1),(497,1)}
        58:{2,4,6,7}:{(30,1),(31,1),(49,1),(93,1),(94,1),(95,1)}
        59:{3,5,6}:{(32,1),(88,1),(96,1),(98,1),(185,1),(307,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(89,1),(98,1),(99,1),(101,1),(193,1),(199,1),(313,1),(321,1),(322,1)}
        61:{2,5,6}:{(33,1),(91,1),(100,1),(101,1),(295,1),(414,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(35,1),(92,1),(98,1),(101,1),(102,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(99,1),(102,1),(103,1),(205,1),(297,1)}
        64:{3,6,7}:{(35,1),(36,1),(403,1)}
        65:{2,5,6,7}:{(36,1),(95,1),(103,1),(104,1),(404,1),(428,1)}
        66:{2,3,6}:{(37,1),(105,1),(106,1),(107,1),(324,1),(435,1)}
        67:{1,3,4,6}:{(37,1),(40,1),(105,1),(108,1),(109,1),(110,1),(209,1),(212,1),(216,1),(218,1),(298,1),(324,1),(330,1),(331,1),(429,1)}
        68:{1,3,5}:{(37,1),(38,1),(41,1),(106,1),(110,1)}
        69:{1,3,7}:{(37,1),(39,1),(42,1),(107,1)}
        70:{1,2,4,5}:{(38,1),(43,1),(84,1),(110,1),(112,1),(123,1),(178,1),(207,1),(217,1),(228,1),(295,1),(314,1),(336,1),(338,1),(412,1),(433,1),(476,1),(490,1)}
        71:{1,2,5,7}:{(38,1),(39,1),(44,1),(111,1),(113,1),(208,1),(413,1)}
        72:{2,3,5}:{(40,1),(108,1),(115,1),(185,1),(227,1),(295,1)}
        73:{2,3,4,7}:{(40,1),(42,1),(109,1),(116,1),(118,1),(188,1),(221,1),(299,1),(430,1)}
        74:{2,4}:{(41,1),(110,1),(117,1)}
        75:{2,3,5,7}:{(41,1),(42,1),(44,1),(111,1),(118,1),(119,1),(121,1),(227,1)}
        76:{3,5}:{(43,1),(88,1),(117,1)}
        77:{2,4,5,7}:{(43,1),(44,1),(46,1),(89,1),(118,1),(121,1),(122,1),(193,1),(227,1),(313,1),(343,1)}
        78:{2,6}:{(44,1),(47,1)}
        79:{2,4,5}:{(45,1),(91,1),(120,1),(123,1),(217,1),(228,1),(295,1)}
        80:{1,4,6}:{(46,1),(47,1),(49,1),(122,1),(124,1)}
        81:{3,4,6}:{(48,1),(49,1),(125,1),(403,1),(487,1)}
        82:{2,5,6}:{(49,1),(95,1),(124,1),(125,1),(332,1)}
        83:{1,3,5,6}:{(50,1),(51,1),(68,1),(126,1),(127,1),(128,1),(129,1),(162,1),(235,1),(240,1),(278,1),(357,1),(359,1),(360,1),(457,1),(459,1),(516,1),(542,1)}
        84:{1,2,4,6}:{(50,1),(52,1),(70,1),(127,1),(129,1),(130,1),(139,1),(237,1),(251,1),(257,1),(264,1),(389,1),(469,1),(500,1)}
        85:{1,2,5,7}:{(50,1),(53,1),(128,1),(130,1),(131,1),(150,1),(261,1),(265,1),(358,1),(363,1),(455,1),(509,1)}
        86:{2,4,6}:{(51,1),(74,1),(127,1),(132,1),(133,1),(134,1),(286,1),(512,1),(550,1)}
        87:{2,3,5,7}:{(51,1),(53,1),(128,1),(134,1),(135,1),(137,1),(241,1),(245,1),(250,1),(253,1),(358,1),(509,1),(535,1),(548,1)}
        88:{3,6}:{(52,1),(76,1),(137,1)}
        89:{2,4,7}:{(52,1),(53,1),(55,1),(137,1)}
        90:{2,6,7}:{(53,1),(56,1),(78,1)}
        91:{2,4,6}:{(54,1),(61,1),(79,1),(136,1),(139,1),(140,1),(251,1)}
        92:{1,3,4,7}:{(54,1),(55,1),(57,1),(62,1),(137,1),(140,1),(145,1),(252,1),(258,1),(378,1)}
        93:{1,4,6,7}:{(55,1),(56,1),(58,1),(80,1),(138,1),(141,1)}
        94:{3,4,6,7}:{(57,1),(58,1),(64,1),(81,1),(142,1),(152,1)}
        95:{2,5,7}:{(58,1),(82,1),(141,1),(142,1)}
        96:{3,4,6}:{(59,1),(143,1),(144,1),(145,1),(286,1)}
        97:{2,3,5,6}:{(59,1),(61,1),(136,1),(144,1),(146,1),(147,1),(244,1),(368,1),(376,1)}
        98:{3,5,7}:{(59,1),(60,1),(137,1),(145,1),(148,1)}
        99:{2,4,6,7}:{(60,1),(63,1),(148,1),(149,1),(151,1),(246,1),(263,1)}
       100:{1,5,6}:{(61,1),(139,1),(150,1),(357,1),(459,1)}
       101:{2,5,7}:{(61,1),(62,1),(140,1),(150,1),(151,1)}
       102:{1,3,6,7}:{(62,1),(63,1),(64,1),(148,1),(151,1),(359,1)}
       103:{1,5,6,7}:{(63,1),(65,1),(141,1),(149,1),(360,1),(380,1)}
       104:{3,5,6,7}:{(64,1),(65,1),(142,1),(152,1),(451,1),(468,1)}
       105:{2,4,6}:{(66,1),(67,1),(153,1),(154,1),(155,1),(268,1),(387,1),(469,1)}
       106:{2,3,5}:{(66,1),(68,1),(153,1),(155,1),(266,1)}
       107:{2,3,7}:{(66,1),(69,1),(154,1),(382,1)}
       108:{1,3,5}:{(67,1),(72,1),(153,1),(158,1),(266,1),(278,1),(357,1),(388,1)}
       109:{1,3,4,7}:{(67,1),(69,1),(73,1),(154,1),(159,1),(161,1),(270,1),(273,1),(362,1),(382,1),(470,1)}
       110:{1,4}:{(68,1),(74,1),(155,1)}
       111:{1,3,5,7}:{(68,1),(69,1),(71,1),(75,1),(156,1),(161,1),(162,1),(278,1)}
       112:{1,3,5}:{(70,1),(76,1),(129,1),(160,1),(163,1),(266,1),(373,1),(392,1),(504,1)}
       113:{1,2,6}:{(71,1),(78,1),(162,1),(268,1),(459,1)}
       114:{2,3,5,6}:{(72,1),(157,1),(164,1),(165,1),(168,1),(242,1),(283,1),(354,1),(381,1)}
       115:{2,4,5}:{(72,1),(74,1),(158,1),(164,1),(166,1)}
       116:{2,3,5,7}:{(72,1),(73,1),(159,1),(167,1),(168,1),(245,1),(358,1)}
       117:{3,4}:{(74,1),(76,1)}
       118:{2,4,7}:{(74,1),(75,1),(161,1),(170,1),(171,1)}
       119:{2,3,6}:{(75,1),(78,1),(162,1),(171,1),(173,1)}
       120:{2,3,5}:{(76,1),(79,1),(136,1),(169,1),(172,1),(373,1)}
       121:{3,5,7}:{(76,1),(77,1),(137,1),(170,1),(173,1),(285,1)}
       122:{2,4,6}:{(77,1),(78,1),(80,1),(173,1),(174,1),(286,1)}
       123:{1,4,5}:{(79,1),(139,1),(172,1),(277,1),(357,1)}
       124:{1,5,6}:{(80,1),(82,1),(141,1),(174,1),(278,1)}
       125:{3,5,6}:{(81,1),(82,1),(142,1),(175,1),(388,1)}
       126:{2,3,5,6}:{(83,1),(106,1),(176,1),(177,1),(182,1),(201,1),(206,1),(211,1),(288,1),(295,1),(318,1),(324,1),(332,1),(403,1),(404,1),(414,1),(418,1),(434,1),(494,1),(496,1),(533,1)}
       127:{1,4,6}:{(83,1),(86,1),(110,1),(176,1),(178,1),(180,1),(490,1)}
       128:{1,3,5,7}:{(83,1),(85,1),(87,1),(177,1),(180,1),(181,1),(183,1),(300,1),(302,1),(413,1)}
       129:{1,3,6}:{(84,1),(88,1),(112,1),(182,1),(183,1),(318,1),(324,1),(520,1)}
       130:{1,2,4,7}:{(84,1),(85,1),(89,1),(180,1),(183,1),(194,1),(299,1),(312,1),(319,1),(325,1),(437,1),(498,1),(521,1)}
       131:{1,2,6,7}:{(85,1),(90,1),(113,1),(181,1),(205,1),(323,1),(326,1),(414,1),(489,1),(492,1),(529,1)}
       132:{2,4,5}:{(86,1),(178,1),(185,1),(227,1),(295,1),(343,1),(547,1),(552,1)}
       133:{3,4,6}:{(86,1),(88,1),(117,1),(185,1),(188,1),(307,1),(520,1),(525,1)}
       134:{2,4,7}:{(86,1),(87,1),(180,1),(188,1),(313,1),(551,1)}
       135:{2,3,6,7}:{(87,1),(90,1),(119,1),(181,1),(189,1),(192,1),(307,1),(414,1),(529,1),(531,1),(543,1)}
       136:{2,3,6}:{(88,1),(91,1),(120,1),(190,1),(191,1),(318,1)}
       137:{3,7}:{(88,1),(89,1)}
       138:{2,4,6,7}:{(89,1),(90,1),(93,1),(122,1),(192,1),(193,1),(313,1)}
       139:{1,4,6}:{(91,1),(100,1),(123,1),(190,1),(194,1)}
       140:{2,4,7}:{(91,1),(92,1),(101,1),(191,1),(194,1),(312,1)}
       141:{1,5,7}:{(93,1),(95,1),(124,1),(193,1)}
       142:{3,5,7}:{(94,1),(95,1),(125,1),(195,1)}
       143:{3,4,5}:{(96,1),(185,1),(196,1),(343,1),(525,1)}
       144:{2,4,6}:{(96,1),(97,1),(196,1),(198,1),(199,1)}
       145:{3,4,7}:{(96,1),(98,1),(199,1),(313,1)}
       146:{1,3,5,6}:{(97,1),(100,1),(190,1),(198,1),(201,1),(202,1),(305,1),(318,1),(420,1),(426,1),(496,1)}
       147:{2,3,5,7}:{(97,1),(98,1),(101,1),(191,1),(199,1),(202,1),(203,1),(321,1)}
       148:{3,6,7}:{(98,1),(99,1),(307,1)}
       149:{2,5,6,7}:{(99,1),(103,1),(193,1),(204,1),(308,1),(321,1)}
       150:{1,5,7}:{(100,1),(101,1),(194,1),(205,1)}
       151:{2,6,7}:{(101,1),(102,1),(205,1),(414,1)}
       152:{4,6,7}:{(104,1),(195,1),(487,1),(497,1)}
       153:{2,5}:{(105,1),(108,1)}
       154:{2,4,7}:{(105,1),(107,1),(109,1),(208,1),(498,1)}
       155:{2,4}:{(106,1),(110,1),(209,1)}
       156:{2,3,5,7}:{(106,1),(107,1),(111,1),(208,1),(210,1),(211,1),(328,1),(332,1)}
       157:{1,3,5,6}:{(108,1),(114,1),(206,1),(212,1),(213,1),(216,1),(324,1),(337,1),(408,1),(429,1),(434,1)}
       158:{1,4,5}:{(108,1),(110,1),(115,1),(207,1),(212,1),(436,1)}
       159:{1,3,5,7}:{(108,1),(109,1),(116,1),(208,1),(215,1),(216,1),(328,1),(413,1)}
       160:{1,3,4}:{(110,1),(112,1),(117,1),(209,1),(217,1),(423,1),(490,1),(525,1)}
       161:{1,4,7}:{(110,1),(111,1),(118,1),(210,1),(218,1)}
       162:{1,3,6}:{(111,1),(113,1),(119,1),(211,1),(218,1)}
       163:{2,3,5}:{(112,1),(182,1),(217,1),(219,1),(228,1),(295,1),(342,1),(433,1),(435,1)}
       164:{2,4,6}:{(114,1),(115,1),(212,1),(220,1),(221,1)}
       165:{2,3,5,7}:{(114,1),(213,1),(221,1),(222,1),(303,1),(340,1),(409,1),(430,1)}
       166:{3,4,5}:{(115,1),(117,1),(185,1),(220,1),(552,1)}
       167:{2,4,5,7}:{(115,1),(116,1),(118,1),(215,1),(221,1),(223,1),(224,1),(227,1),(340,1)}
       168:{2,3,6}:{(116,1),(216,1),(224,1),(307,1),(414,1)}
       169:{2,3,4}:{(117,1),(120,1),(217,1),(225,1),(423,1),(435,1)}
       170:{3,4,7}:{(117,1),(118,1),(121,1),(226,1),(313,1)}
       171:{2,4,6}:{(118,1),(119,1),(218,1),(226,1),(227,1)}
       172:{1,3,5}:{(120,1),(123,1),(190,1),(225,1),(228,1)}
       173:{3,6}:{(121,1),(122,1)}
       174:{2,5,6}:{(122,1),(124,1),(193,1),(227,1),(229,1)}
       175:{4,5,6}:{(125,1),(195,1),(436,1),(487,1)}
       176:{2,4,6}:{(126,1),(127,1),(155,1),(230,1),(231,1),(232,1),(462,1),(472,1),(519,1)}
       177:{2,3,5,7}:{(126,1),(128,1),(232,1),(233,1),(241,1),(261,1),(265,1),(348,1),(353,1),(358,1),(378,1),(382,1),(468,1),(471,1)}
       178:{1,4,5}:{(127,1),(132,1),(230,1),(235,1),(278,1),(357,1),(542,1)}
       179:{1,3,4,6}:{(127,1),(129,1),(133,1),(160,1),(231,1),(235,1),(237,1),(238,1),(359,1)}
       180:{1,4,7}:{(127,1),(128,1),(134,1),(232,1)}
       181:{1,3,6,7}:{(128,1),(131,1),(135,1),(162,1),(233,1),(239,1),(359,1),(459,1),(516,1)}
       182:{2,3,6}:{(129,1),(163,1),(237,1),(240,1),(241,1),(251,1),(469,1)}
       183:{1,3,7}:{(129,1),(130,1),(137,1),(241,1),(378,1),(382,1),(535,1)}
       184:{2,4,5,6}:{(132,1),(164,1),(234,1),(242,1),(243,1),(246,1),(283,1),(354,1),(394,1),(500,1),(540,1),(550,1)}
       185:{3,5}:{(132,1),(133,1)}
       186:{2,4,5,7}:{(132,1),(134,1),(236,1),(245,1),(246,1),(250,1),(358,1),(372,1)}
       187:{2,3,4,6}:{(133,1),(136,1),(144,1),(169,1),(237,1),(244,1),(247,1),(248,1),(368,1),(452,1),(512,1),(541,1)}
       188:{3,4,7}:{(133,1),(134,1),(137,1),(245,1),(535,1)}
       189:{2,4,6,7}:{(134,1),(135,1),(171,1),(239,1),(246,1),(249,1),(250,1),(541,1)}
       190:{1,3,6}:{(136,1),(139,1),(172,1),(251,1),(252,1)}
       191:{2,3,7}:{(136,1),(137,1),(140,1),(252,1),(378,1)}
       192:{3,6,7}:{(137,1),(138,1),(173,1),(253,1)}
       193:{2,5,7}:{(138,1),(141,1),(174,1),(253,1)}
       194:{1,4,7}:{(139,1),(140,1),(150,1),(252,1)}
       195:{4,5,7}:{(142,1),(152,1),(175,1)}
       196:{2,4,5}:{(143,1),(144,1),(244,1),(254,1),(512,1)}
       197:{3,4,5,7}:{(143,1),(145,1),(245,1),(255,1),(256,1),(260,1),(372,1),(538,1),(549,1)}
       198:{1,4,6}:{(144,1),(146,1),(254,1),(257,1),(258,1),(519,1)}
       199:{2,4,7}:{(144,1),(145,1),(147,1),(258,1)}
       200:{3,4,6,7}:{(145,1),(148,1),(256,1),(259,1),(260,1),(263,1)}
       201:{2,5,6}:{(146,1),(251,1),(257,1),(261,1),(366,1),(464,1)}
       202:{1,3,5,7}:{(146,1),(147,1),(150,1),(252,1),(258,1),(261,1),(262,1),(378,1),(380,1),(468,1)}
       203:{2,3,6,7}:{(147,1),(148,1),(151,1),(259,1),(262,1),(368,1)}
       204:{3,5,6,7}:{(148,1),(149,1),(253,1),(260,1),(263,1),(369,1)}
       205:{1,6,7}:{(150,1),(151,1),(459,1)}
       206:{2,5,6}:{(153,1),(157,1),(264,1),(265,1),(268,1),(469,1)}
       207:{2,4,5}:{(153,1),(155,1),(158,1),(264,1),(266,1)}
       208:{2,5,7}:{(153,1),(154,1),(159,1),(268,1)}
       209:{3,4}:{(155,1),(266,1)}
       210:{2,4,7}:{(155,1),(156,1),(161,1),(270,1),(271,1)}
       211:{2,3,6}:{(156,1),(162,1),(268,1),(271,1),(385,1)}
       212:{1,4,6}:{(157,1),(158,1),(164,1),(264,1),(273,1),(472,1)}
       213:{1,3,5,7}:{(157,1),(165,1),(265,1),(273,1),(274,1),(382,1),(391,1),(455,1),(470,1),(471,1)}
       214:{1,3,4,5}:{(158,1),(160,1),(166,1),(235,1),(266,1),(272,1),(275,1),(344,1),(384,1),(441,1),(504,1)}
       215:{1,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(267,1),(273,1),(276,1),(278,1),(391,1)}
       216:{1,3,6}:{(159,1),(168,1),(268,1),(276,1),(385,1),(459,1)}
       217:{2,4}:{(160,1),(163,1),(277,1)}
       218:{1,4,6}:{(161,1),(162,1),(171,1),(271,1),(278,1)}
       219:{1,3,5}:{(163,1),(240,1),(277,1),(279,1),(357,1),(392,1)}
       220:{3,4,6}:{(164,1),(166,1),(242,1),(280,1),(550,1)}
       221:{2,4,7}:{(164,1),(165,1),(273,1),(280,1)}
       222:{2,3,6,7}:{(165,1),(168,1),(274,1),(281,1),(364,1),(456,1)}
       223:{3,4,5,7}:{(166,1),(167,1),(170,1),(245,1),(280,1),(282,1),(285,1),(372,1),(393,1)}
       224:{2,4,6}:{(167,1),(168,1),(276,1),(282,1),(283,1)}
       225:{1,3,4}:{(169,1),(172,1),(277,1),(284,1),(392,1)}
       226:{3,4,6}:{(170,1),(171,1),(173,1),(285,1),(286,1)}
       227:{2,5}:{(171,1),(278,1),(285,1)}
       228:{2,5}:{(172,1),(251,1),(284,1)}
       229:{3,5,6}:{(173,1),(174,1),(253,1),(285,1),(286,1)}
       230:{2,4,5}:{(176,1),(178,1),(288,1),(295,1),(332,1),(436,1),(533,1),(534,1)}
       231:{3,4,6}:{(176,1),(209,1),(288,1),(291,1),(318,1),(324,1),(403,1),(423,1)}
       232:{2,4,7}:{(176,1),(177,1),(180,1),(291,1),(497,1),(499,1)}
       233:{2,3,6,7}:{(177,1),(181,1),(211,1),(292,1),(323,1),(326,1),(403,1),(414,1),(427,1),(431,1),(494,1)}
       234:{1,4,5,6}:{(178,1),(184,1),(212,1),(287,1),(293,1),(294,1),(297,1),(337,1),(408,1),(473,1),(528,1)}
       235:{1,3,5}:{(178,1),(179,1),(185,1),(288,1),(295,1)}
       236:{1,4,5,7}:{(178,1),(180,1),(186,1),(289,1),(296,1),(297,1),(300,1),(413,1)}
       237:{2,4,6}:{(179,1),(182,1),(217,1),(295,1),(298,1),(299,1),(414,1)}
       238:{1,3,4,7}:{(179,1),(180,1),(183,1),(188,1),(291,1),(296,1),(299,1)}
       239:{1,4,6,7}:{(180,1),(181,1),(189,1),(218,1),(292,1),(297,1),(300,1),(532,1)}
       240:{1,3,6}:{(182,1),(219,1),(298,1),(301,1),(302,1)}
       241:{2,3,7}:{(182,1),(183,1),(299,1),(302,1),(312,1),(498,1)}
       242:{3,5,6}:{(184,1),(185,1),(220,1),(303,1),(307,1),(520,1)}
       243:{2,4,5,7}:{(184,1),(221,1),(294,1),(303,1),(304,1),(340,1),(409,1),(438,1),(521,1),(544,1),(551,1)}
       244:{2,3,5}:{(185,1),(187,1),(196,1),(295,1),(305,1),(547,1)}
       245:{3,5,7}:{(185,1),(186,1),(188,1),(307,1)}
       246:{2,4,6}:{(186,1),(297,1),(307,1),(308,1),(414,1),(421,1)}
       247:{1,3,4,6}:{(187,1),(190,1),(198,1),(225,1),(298,1),(305,1),(309,1),(310,1),(318,1),(415,1),(420,1),(423,1),(490,1),(495,1),(532,1)}
       248:{2,3,4,7}:{(187,1),(188,1),(191,1),(199,1),(299,1),(306,1),(310,1),(488,1),(530,1)}
       249:{3,4,6,7}:{(188,1),(189,1),(192,1),(226,1),(307,1),(311,1),(313,1),(421,1),(543,1),(545,1),(551,1)}
       250:{2,5,7}:{(189,1),(227,1),(300,1),(308,1),(311,1),(547,1)}
       251:{2,6}:{(190,1),(228,1),(312,1)}
       252:{1,3,7}:{(190,1),(191,1),(194,1),(312,1)}
       253:{3,5,7}:{(192,1),(193,1),(229,1),(313,1)}
       254:{1,4,5}:{(196,1),(198,1),(305,1),(314,1),(490,1),(534,1)}
       255:{2,4,5,7}:{(196,1),(197,1),(199,1),(306,1),(315,1),(316,1),(321,1),(530,1),(547,1)}
       256:{3,4,6}:{(197,1),(307,1),(316,1),(317,1),(421,1)}
       257:{2,4,6}:{(198,1),(201,1),(314,1),(318,1),(319,1)}
       258:{1,4,7}:{(198,1),(199,1),(202,1),(319,1),(497,1)}
       259:{2,4,6,7}:{(199,1),(200,1),(203,1),(316,1),(320,1),(321,1)}
       260:{3,5,7}:{(200,1),(317,1),(321,1),(322,1)}
       261:{2,5,7}:{(201,1),(202,1),(312,1),(319,1),(323,1)}
       262:{1,3,6,7}:{(202,1),(203,1),(205,1),(320,1),(323,1),(420,1),(427,1)}
       263:{4,6,7}:{(204,1),(313,1),(322,1),(421,1)}
       264:{2,4,6}:{(206,1),(207,1),(212,1),(324,1),(325,1)}
       265:{2,5,7}:{(206,1),(213,1),(325,1),(326,1),(498,1)}
       266:{3,5}:{(207,1),(209,1),(324,1)}
       267:{2,4,5,7}:{(207,1),(208,1),(210,1),(215,1),(325,1),(328,1),(329,1),(332,1),(432,1),(436,1),(499,1)}
       268:{2,6}:{(208,1),(216,1)}
       269:{2,3,4}:{(209,1),(217,1),(327,1),(330,1),(342,1),(525,1)}
       270:{3,4,7}:{(209,1),(210,1),(328,1),(331,1),(499,1)}
       271:{2,4,6}:{(210,1),(211,1),(218,1),(331,1),(332,1)}
       272:{1,3,4,6}:{(212,1),(214,1),(220,1),(293,1),(324,1),(333,1),(334,1),(395,1),(429,1),(473,1),(520,1)}
       273:{1,4,7}:{(212,1),(213,1),(221,1),(325,1),(499,1)}
       274:{1,3,6,7}:{(213,1),(216,1),(222,1),(326,1),(335,1),(431,1),(489,1)}
       275:{2,4,5}:{(214,1),(217,1),(295,1),(327,1),(333,1),(336,1),(433,1)}
       276:{1,4,6}:{(215,1),(216,1),(224,1),(329,1),(337,1)}
       277:{1,4}:{(217,1),(219,1)}
       278:{1,5}:{(218,1),(227,1),(332,1)}
       279:{1,2,5}:{(219,1),(228,1),(301,1),(338,1),(433,1)}
       280:{3,4,7}:{(220,1),(221,1),(303,1),(551,1)}
       281:{2,4,6,7}:{(221,1),(222,1),(224,1),(335,1),(339,1),(340,1)}
       282:{3,4,6}:{(223,1),(224,1),(307,1),(341,1),(421,1)}
       283:{2,5,6}:{(224,1),(227,1),(337,1),(340,1),(341,1)}
       284:{2,4}:{(225,1),(228,1),(342,1)}
       285:{3,5}:{(226,1),(227,1),(343,1)}
       286:{4,6}:{(229,1),(313,1),(343,1)}
       287:{2,4,5,6}:{(230,1),(234,1),(264,1),(345,1),(346,1),(349,1),(354,1),(386,1),(439,1),(472,1),(507,1),(508,1)}
       288:{3,5}:{(230,1),(231,1)}
       289:{2,4,5,7}:{(230,1),(232,1),(236,1),(348,1),(349,1),(353,1),(358,1),(454,1)}
       290:{2,3,4,6}:{(231,1),(237,1),(269,1),(347,1),(350,1),(351,1),(370,1),(381,1),(439,1),(450,1),(462,1),(517,1)}
       291:{3,4,7}:{(231,1),(232,1),(348,1),(378,1),(382,1)}
       292:{2,4,6,7}:{(232,1),(233,1),(239,1),(271,1),(349,1),(352,1),(353,1),(517,1)}
       293:{1,3,5,6}:{(234,1),(235,1),(242,1),(272,1),(345,1),(354,1),(355,1),(359,1)}
       294:{1,4,5,7}:{(234,1),(243,1),(273,1),(346,1),(355,1),(356,1),(391,1),(455,1),(501,1),(537,1)}
       295:{2,5}:{(235,1),(237,1),(357,1)}
       296:{1,3,5,7}:{(235,1),(236,1),(238,1),(245,1),(348,1),(358,1),(359,1)}
       297:{1,4,6}:{(236,1),(246,1),(349,1),(359,1),(360,1),(459,1)}
       298:{1,4,6}:{(237,1),(240,1),(277,1),(357,1),(362,1),(459,1)}
       299:{2,4,7}:{(237,1),(238,1),(241,1),(358,1),(362,1)}
       300:{1,5,7}:{(239,1),(250,1),(278,1),(353,1),(360,1),(542,1)}
       301:{1,2,6}:{(240,1),(251,1),(279,1),(363,1),(469,1)}
       302:{1,3,7}:{(240,1),(241,1),(362,1),(363,1)}
       303:{3,5,7}:{(242,1),(243,1),(280,1),(364,1),(535,1)}
       304:{2,4,6,7}:{(243,1),(246,1),(356,1),(364,1),(365,1),(456,1),(461,1)}
       305:{1,3,5}:{(244,1),(247,1),(254,1),(357,1),(366,1),(373,1),(518,1),(542,1)}
       306:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(358,1),(367,1),(368,1)}
       307:{3,6}:{(245,1),(246,1)}
       308:{2,5,6}:{(246,1),(250,1),(360,1),(369,1)}
       309:{2,4,6}:{(247,1),(251,1),(284,1),(366,1),(370,1),(371,1),(462,1),(464,1)}
       310:{1,3,4,7}:{(247,1),(248,1),(252,1),(258,1),(362,1),(367,1),(371,1),(378,1),(460,1),(465,1),(515,1)}
       311:{3,5,7}:{(249,1),(250,1),(285,1),(369,1),(372,1),(549,1)}
       312:{2,7}:{(251,1),(252,1)}
       313:{4,7}:{(253,1),(286,1)}
       314:{2,4,5}:{(254,1),(257,1),(366,1),(373,1),(462,1)}
       315:{1,4,5,7}:{(254,1),(255,1),(258,1),(367,1),(374,1),(375,1),(380,1),(515,1),(542,1)}
       316:{2,4,6}:{(255,1),(256,1),(368,1),(375,1),(376,1)}
       317:{3,5,6}:{(256,1),(260,1),(376,1),(377,1),(549,1)}
       318:{3,6}:{(257,1),(373,1),(378,1)}
       319:{2,4,7}:{(257,1),(258,1),(261,1),(378,1)}
       320:{1,4,6,7}:{(258,1),(259,1),(262,1),(375,1),(379,1),(380,1)}
       321:{2,5,7}:{(259,1),(260,1),(376,1),(380,1)}
       322:{4,5,7}:{(260,1),(263,1),(377,1)}
       323:{2,6,7}:{(261,1),(262,1),(464,1)}
       324:{3,6}:{(264,1),(266,1),(382,1)}
       325:{2,4,7}:{(264,1),(265,1),(273,1),(382,1)}
       326:{2,6,7}:{(265,1),(268,1),(274,1)}
       327:{2,3,5}:{(266,1),(269,1),(275,1),(381,1),(384,1),(504,1)}
       328:{3,5,7}:{(266,1),(267,1),(270,1),(382,1),(385,1),(388,1)}
       329:{2,4,6}:{(267,1),(268,1),(276,1),(385,1),(386,1),(472,1)}
       330:{1,3,4}:{(269,1),(277,1),(384,1),(387,1),(392,1)}
       331:{3,4,6}:{(270,1),(271,1),(385,1),(388,1),(472,1)}
       332:{2,5}:{(271,1),(278,1),(388,1)}
       333:{2,4,6}:{(272,1),(275,1),(354,1),(381,1),(389,1),(390,1),(469,1)}
       334:{1,3,4,7}:{(272,1),(273,1),(280,1),(355,1),(382,1),(390,1),(440,1),(470,1),(501,1),(535,1)}
       335:{1,4,6,7}:{(273,1),(274,1),(276,1),(281,1),(383,1),(391,1)}
       336:{1,4,5}:{(275,1),(277,1),(357,1),(384,1),(389,1)}
       337:{1,5,6}:{(276,1),(278,1),(283,1),(386,1),(391,1)}
       338:{1,2,4}:{(277,1),(279,1),(284,1),(387,1),(392,1)}
       339:{3,4,6,7}:{(280,1),(281,1),(282,1),(364,1),(393,1),(461,1)}
       340:{2,5,7}:{(281,1),(283,1),(391,1),(393,1)}
       341:{3,5,6}:{(282,1),(283,1),(285,1),(393,1),(394,1)}
       342:{2,3}:{(284,1),(392,1)}
       343:{4,5}:{(285,1),(286,1)}
       344:{3,4,5}:{(288,1),(395,1),(396,1),(423,1),(436,1)}
       345:{3,5,6}:{(287,1),(288,1),(324,1),(395,1),(399,1),(403,1)}
       346:{2,4,5,7}:{(287,1),(294,1),(325,1),(399,1),(400,1),(409,1),(432,1),(474,1),(499,1),(523,1),(524,1)}
       347:{2,3,5}:{(288,1),(290,1),(295,1),(396,1),(401,1),(533,1)}
       348:{3,5,7}:{(288,1),(289,1),(291,1),(403,1)}
       349:{2,4,6}:{(289,1),(297,1),(403,1),(404,1),(414,1),(487,1)}
       350:{1,3,4,6}:{(290,1),(298,1),(330,1),(401,1),(405,1),(406,1),(415,1),(429,1),(473,1),(486,1),(490,1),(520,1),(525,1),(532,1),(545,1)}
       351:{2,3,4,7}:{(290,1),(291,1),(299,1),(402,1),(406,1),(422,1),(430,1),(474,1),(493,1)}
       352:{3,4,6,7}:{(291,1),(292,1),(331,1),(403,1),(407,1),(427,1),(431,1),(487,1),(495,1),(497,1),(499,1)}
       353:{2,5,7}:{(292,1),(300,1),(332,1),(404,1),(407,1),(533,1)}
       354:{2,5,6}:{(293,1),(295,1),(333,1),(408,1),(409,1),(414,1)}
       355:{1,3,5,7}:{(293,1),(294,1),(303,1),(334,1),(399,1),(409,1),(410,1)}
       356:{1,4,6,7}:{(294,1),(297,1),(304,1),(400,1),(410,1),(411,1),(489,1)}
       357:{1,5}:{(295,1),(298,1)}
       358:{2,5,7}:{(295,1),(296,1),(299,1),(413,1),(414,1)}
       359:{1,3,6}:{(296,1),(297,1),(307,1),(403,1),(414,1)}
       360:{1,5,6}:{(297,1),(300,1),(308,1),(404,1)}
       361:{1,2,4,6}:{(298,1),(301,1),(309,1),(338,1),(405,1),(412,1),(415,1),(416,1),(490,1),(492,1),(532,1)}
       362:{1,4,7}:{(298,1),(299,1),(302,1),(413,1)}
       363:{1,2,7}:{(301,1),(302,1),(312,1),(498,1)}
       364:{3,6,7}:{(303,1),(304,1),(307,1)}
       365:{2,5,6,7}:{(304,1),(308,1),(340,1),(411,1),(417,1),(544,1)}
       366:{2,5}:{(305,1),(309,1)}
       367:{1,3,5,7}:{(305,1),(306,1),(310,1),(315,1),(413,1),(419,1),(420,1),(424,1)}
       368:{2,3,6}:{(306,1),(307,1),(316,1),(414,1),(420,1)}
       369:{3,5,6}:{(307,1),(308,1),(311,1),(421,1)}
       370:{2,3,6}:{(309,1),(318,1),(342,1),(415,1),(418,1),(422,1)}
       371:{2,4,7}:{(309,1),(310,1),(312,1),(419,1),(422,1)}
       372:{4,5,7}:{(311,1),(313,1),(343,1),(421,1),(551,1),(552,1)}
       373:{3,5}:{(314,1),(318,1),(423,1)}
       374:{2,4,5,7}:{(314,1),(315,1),(319,1),(419,1),(424,1),(425,1),(428,1),(493,1),(497,1),(533,1),(534,1)}
       375:{1,4,6}:{(315,1),(316,1),(420,1),(425,1),(426,1)}
       376:{2,5,6}:{(316,1),(317,1),(321,1),(426,1),(547,1)}
       377:{4,5,6}:{(317,1),(322,1),(421,1),(552,1)}
       378:{3,7}:{(318,1),(319,1)}
       379:{2,4,6,7}:{(319,1),(320,1),(323,1),(425,1),(427,1),(428,1),(497,1)}
       380:{1,5,7}:{(320,1),(321,1),(426,1),(428,1)}
       381:{2,3,6}:{(324,1),(327,1),(333,1),(429,1),(430,1),(520,1)}
       382:{3,7}:{(324,1),(325,1)}
       383:{2,4,6,7}:{(325,1),(326,1),(329,1),(335,1),(431,1),(432,1),(499,1)}
       384:{1,3,5}:{(327,1),(330,1),(336,1),(429,1),(433,1)}
       385:{3,6}:{(328,1),(329,1)}
       386:{2,5,6}:{(329,1),(332,1),(337,1),(432,1),(434,1)}
       387:{2,4}:{(330,1),(433,1),(435,1)}
       388:{3,5}:{(331,1),(332,1),(436,1)}
       389:{1,4,6}:{(333,1),(336,1),(408,1),(429,1),(437,1)}
       390:{2,4,7}:{(333,1),(334,1),(409,1),(430,1),(437,1),(498,1)}
       391:{1,5,7}:{(335,1),(337,1),(340,1),(432,1)}
       392:{1,3}:{(338,1),(342,1),(435,1)}
       393:{3,5,7}:{(339,1),(340,1),(341,1),(438,1)}
       394:{4,5,6}:{(341,1),(343,1),(421,1),(438,1)}
       395:{3,4,6}:{(344,1),(345,1),(439,1),(440,1),(472,1)}
       396:{2,4,5}:{(344,1),(347,1),(439,1),(441,1),(462,1)}
       397:{3,4,5,7}:{(344,1),(348,1),(440,1),(442,1),(443,1),(454,1),(465,1),(503,1),(518,1)}
       398:{2,3,5,6}:{(345,1),(347,1),(354,1),(381,1),(439,1),(444,1),(445,1),(450,1),(507,1)}
       399:{3,5,7}:{(345,1),(346,1),(382,1),(440,1),(446,1)}
       400:{2,4,6,7}:{(346,1),(349,1),(356,1),(446,1),(447,1),(456,1),(511,1)}
       401:{1,3,5}:{(347,1),(350,1),(357,1),(441,1),(448,1),(504,1),(542,1),(549,1)}
       402:{2,3,5,7}:{(347,1),(348,1),(351,1),(358,1),(442,1),(449,1),(450,1)}
       403:{3,6}:{(348,1),(349,1)}
       404:{2,5,6}:{(349,1),(353,1),(360,1),(451,1)}
       405:{2,4,6}:{(350,1),(387,1),(448,1),(452,1),(453,1),(469,1),(512,1),(514,1)}
       406:{1,3,4,7}:{(350,1),(351,1),(362,1),(449,1),(453,1),(460,1),(470,1),(501,1),(515,1),(535,1),(538,1)}
       407:{3,5,7}:{(352,1),(353,1),(388,1),(451,1),(454,1),(518,1)}
       408:{1,5,6}:{(354,1),(357,1),(389,1),(455,1),(459,1)}
       409:{2,5,7}:{(354,1),(355,1),(390,1),(455,1),(456,1)}
       410:{1,3,6,7}:{(355,1),(356,1),(359,1),(364,1),(446,1),(456,1)}
       411:{1,5,6,7}:{(356,1),(360,1),(365,1),(391,1),(447,1),(537,1)}
       412:{1,2,5}:{(357,1),(361,1),(366,1),(448,1),(457,1),(542,1)}
       413:{1,5,7}:{(357,1),(358,1),(362,1),(459,1)}
       414:{2,6}:{(358,1),(359,1),(459,1)}
       415:{1,3,6}:{(361,1),(370,1),(392,1),(452,1),(457,1),(460,1)}
       416:{1,2,4,7}:{(361,1),(362,1),(363,1),(371,1),(453,1),(458,1),(460,1),(515,1)}
       417:{3,5,6,7}:{(364,1),(365,1),(369,1),(393,1),(461,1),(548,1)}
       418:{2,3,5}:{(366,1),(370,1),(373,1),(457,1),(462,1)}
       419:{2,5,7}:{(366,1),(367,1),(371,1),(464,1)}
       420:{1,3,6}:{(367,1),(368,1),(375,1),(459,1),(464,1),(466,1)}
       421:{4,6}:{(369,1),(372,1)}
       422:{2,3,7}:{(370,1),(371,1),(378,1),(460,1)}
       423:{3,4}:{(373,1),(462,1)}
       424:{3,5,7}:{(373,1),(374,1),(378,1),(465,1),(466,1),(518,1)}
       425:{2,4,6}:{(374,1),(375,1),(464,1),(466,1),(467,1),(519,1)}
       426:{1,5,6}:{(375,1),(376,1),(380,1),(467,1),(542,1)}
       427:{3,6,7}:{(378,1),(379,1),(466,1),(468,1)}
       428:{2,5,7}:{(379,1),(380,1),(467,1),(468,1)}
       429:{1,3,6}:{(381,1),(384,1),(389,1),(469,1),(470,1)}
       430:{2,3,7}:{(381,1),(382,1),(390,1),(470,1),(535,1)}
       431:{3,6,7}:{(382,1),(383,1),(385,1),(471,1)}
       432:{2,5,7}:{(383,1),(386,1),(391,1),(471,1)}
       433:{2,5}:{(384,1),(387,1),(469,1)}
       434:{3,5,6}:{(385,1),(386,1),(388,1),(471,1),(472,1)}
       435:{2,3}:{(387,1),(392,1)}
       436:{4,5}:{(388,1),(472,1)}
       437:{1,4,7}:{(389,1),(390,1),(455,1),(470,1)}
       438:{4,5,7}:{(393,1),(394,1),(461,1)}
       439:{2,4,6}:{(395,1),(396,1),(398,1),(473,1),(474,1)}
       440:{3,4,7}:{(395,1),(399,1),(474,1),(499,1)}
       441:{1,4,5}:{(396,1),(401,1),(473,1),(476,1),(490,1),(552,1)}
       442:{2,4,5,7}:{(396,1),(397,1),(402,1),(474,1),(477,1),(478,1),(493,1),(523,1),(533,1)}
       443:{3,4,6}:{(397,1),(403,1),(478,1),(479,1),(487,1)}
       444:{1,3,5,6}:{(398,1),(401,1),(408,1),(429,1),(473,1),(480,1),(481,1),(486,1),(520,1),(528,1),(546,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(409,1),(430,1),(474,1),(481,1),(482,1),(523,1)}
       446:{3,6,7}:{(399,1),(400,1),(403,1)}
       447:{2,5,6,7}:{(400,1),(404,1),(411,1),(432,1),(483,1),(523,1)}
       448:{2,5}:{(401,1),(405,1)}
       449:{1,3,5,7}:{(401,1),(402,1),(406,1),(413,1),(477,1),(485,1),(486,1),(526,1)}
       450:{2,3,6}:{(402,1),(403,1),(414,1),(478,1),(486,1)}
       451:{3,5,6}:{(403,1),(404,1),(407,1),(487,1)}
       452:{2,3,6}:{(405,1),(415,1),(435,1),(484,1),(488,1),(520,1)}
       453:{2,4,7}:{(405,1),(406,1),(485,1),(488,1),(498,1)}
       454:{4,5,7}:{(407,1),(436,1),(487,1),(497,1),(499,1),(534,1)}
       455:{1,5,7}:{(408,1),(409,1),(437,1),(489,1)}
       456:{2,6,7}:{(409,1),(410,1),(414,1),(489,1)}
       457:{1,3,5}:{(412,1),(415,1),(418,1),(484,1),(490,1)}
       458:{1,2,5,7}:{(412,1),(413,1),(416,1),(419,1),(485,1),(491,1),(492,1)}
       459:{1,6}:{(413,1),(414,1)}
       460:{1,3,7}:{(415,1),(416,1),(422,1),(488,1)}
       461:{4,6,7}:{(417,1),(421,1),(438,1),(551,1)}
       462:{2,4}:{(418,1),(423,1),(490,1)}
       463:{2,3,5,7}:{(418,1),(419,1),(422,1),(424,1),(491,1),(493,1),(494,1),(533,1)}
       464:{2,6}:{(419,1),(420,1)}
       465:{3,4,7}:{(423,1),(424,1),(493,1),(495,1),(497,1)}
       466:{3,6}:{(424,1),(425,1)}
       467:{2,5,6}:{(425,1),(426,1),(428,1),(496,1),(533,1)}
       468:{3,5,7}:{(427,1),(428,1),(496,1),(497,1)}
       469:{2,6}:{(429,1),(433,1),(498,1)}
       470:{1,3,7}:{(429,1),(430,1),(437,1),(498,1)}
       471:{3,5,7}:{(431,1),(432,1),(434,1),(499,1)}
       472:{4,6}:{(434,1),(436,1),(499,1)}
       473:{1,4,6}:{(439,1),(441,1),(444,1),(500,1),(501,1),(550,1)}
       474:{2,4,7}:{(439,1),(440,1),(445,1),(501,1)}
       475:{3,4,6,7}:{(440,1),(443,1),(446,1),(502,1),(503,1),(511,1)}
       476:{2,4,5}:{(441,1),(448,1),(500,1),(504,1),(512,1)}
       477:{1,4,5,7}:{(441,1),(442,1),(449,1),(501,1),(505,1),(506,1),(515,1),(537,1),(542,1)}
       478:{2,4,6}:{(442,1),(443,1),(450,1),(506,1),(507,1)}
       479:{3,5,6}:{(443,1),(503,1),(507,1),(508,1),(518,1)}
       480:{2,5,6}:{(444,1),(448,1),(469,1),(500,1),(509,1),(514,1)}
       481:{1,3,5,7}:{(444,1),(445,1),(455,1),(470,1),(501,1),(509,1),(510,1),(535,1),(537,1),(548,1)}
       482:{2,3,6,7}:{(445,1),(446,1),(450,1),(456,1),(502,1),(510,1)}
       483:{3,5,6,7}:{(446,1),(447,1),(451,1),(471,1),(503,1),(511,1)}
       484:{2,3,5}:{(448,1),(452,1),(457,1),(504,1),(512,1)}
       485:{2,5,7}:{(448,1),(449,1),(453,1),(514,1)}
       486:{1,3,6}:{(449,1),(450,1),(459,1),(506,1),(514,1),(539,1)}
       487:{4,6}:{(451,1),(454,1)}
       488:{2,3,7}:{(452,1),(453,1),(460,1),(535,1)}
       489:{1,6,7}:{(455,1),(456,1),(459,1)}
       490:{1,4}:{(457,1),(462,1),(512,1)}
       491:{1,3,5,7}:{(457,1),(458,1),(460,1),(463,1),(513,1),(515,1),(516,1),(542,1)}
       492:{1,2,6}:{(458,1),(459,1),(464,1),(514,1),(516,1)}
       493:{2,4,7}:{(462,1),(463,1),(465,1),(515,1),(517,1)}
       494:{2,3,6}:{(463,1),(464,1),(466,1),(516,1),(517,1)}
       495:{3,4,6}:{(465,1),(466,1),(517,1),(518,1),(519,1)}
       496:{3,5,6}:{(466,1),(467,1),(468,1),(518,1),(519,1)}
       497:{4,7}:{(468,1),(519,1)}
       498:{2,7}:{(469,1),(470,1)}
       499:{4,7}:{(471,1),(472,1)}
       500:{2,4,6}:{(473,1),(476,1),(480,1),(520,1),(521,1)}
       501:{1,4,7}:{(473,1),(474,1),(481,1),(521,1),(551,1)}
       502:{2,4,6,7}:{(474,1),(475,1),(478,1),(482,1),(522,1),(523,1)}
       503:{3,5,7}:{(475,1),(479,1),(523,1),(524,1)}
       504:{3,5}:{(476,1),(520,1),(525,1)}
       505:{2,4,5,7}:{(476,1),(477,1),(485,1),(521,1),(526,1),(527,1),(530,1),(544,1),(547,1),(551,1),(552,1)}
       506:{1,4,6}:{(477,1),(478,1),(486,1),(527,1),(528,1)}
       507:{2,5,6}:{(478,1),(479,1),(523,1),(528,1),(533,1)}
       508:{4,5,6}:{(479,1),(487,1),(524,1),(534,1)}
       509:{2,5,7}:{(480,1),(481,1),(498,1),(521,1),(529,1)}
       510:{1,3,6,7}:{(481,1),(482,1),(486,1),(489,1),(522,1),(529,1),(543,1)}
       511:{4,6,7}:{(483,1),(487,1),(499,1),(524,1)}
       512:{2,4}:{(484,1),(490,1),(525,1)}
       513:{2,3,5,7}:{(484,1),(485,1),(488,1),(491,1),(526,1),(530,1),(531,1),(547,1)}
       514:{2,6}:{(485,1),(486,1)}
       515:{1,4,7}:{(490,1),(491,1),(493,1),(530,1),(532,1)}
       516:{1,3,6}:{(491,1),(492,1),(494,1),(531,1),(532,1)}
       517:{2,4,6}:{(493,1),(494,1),(495,1),(532,1),(533,1)}
       518:{3,5}:{(495,1),(533,1),(534,1)}
       519:{4,6}:{(496,1),(497,1),(534,1)}
       520:{3,6}:{(500,1),(504,1),(535,1)}
       521:{2,4,7}:{(500,1),(501,1),(509,1),(535,1)}
       522:{1,4,6,7}:{(501,1),(502,1),(506,1),(510,1),(536,1),(537,1)}
       523:{2,5,7}:{(502,1),(503,1),(507,1),(537,1)}
       524:{4,5,7}:{(503,1),(508,1),(511,1)}
       525:{3,4}:{(504,1),(512,1)}
       526:{3,5,7}:{(504,1),(505,1),(535,1),(538,1),(539,1),(549,1)}
       527:{2,4,6}:{(505,1),(506,1),(514,1),(539,1),(540,1),(550,1)}
       528:{1,5,6}:{(506,1),(507,1),(537,1),(540,1),(542,1)}
       529:{2,6,7}:{(509,1),(510,1),(514,1)}
       530:{2,4,7}:{(512,1),(513,1),(515,1),(538,1),(541,1)}
       531:{2,3,6}:{(513,1),(514,1),(516,1),(539,1),(541,1)}
       532:{1,4,6}:{(515,1),(516,1),(517,1),(541,1),(542,1)}
       533:{2,5}:{(517,1),(518,1),(542,1)}
       534:{4,5}:{(518,1),(519,1)}
       535:{3,7}:{(520,1),(521,1)}
       536:{2,4,6,7}:{(521,1),(522,1),(527,1),(529,1),(543,1),(544,1),(551,1)}
       537:{1,5,7}:{(522,1),(523,1),(528,1),(544,1)}
       538:{3,4,7}:{(525,1),(526,1),(530,1),(545,1),(551,1)}
       539:{3,6}:{(526,1),(527,1)}
       540:{2,5,6}:{(527,1),(528,1),(544,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(545,1),(547,1)}
       542:{1,5}:{(532,1),(533,1),(547,1)}
       543:{3,6,7}:{(535,1),(536,1),(539,1),(548,1)}
       544:{2,5,7}:{(536,1),(537,1),(540,1),(548,1)}
       545:{3,4,6}:{(538,1),(539,1),(541,1),(549,1),(550,1)}
       546:{3,5,6}:{(539,1),(540,1),(548,1),(549,1),(550,1)}
       547:{2,5}:{(541,1),(542,1),(549,1)}
       548:{3,5,7}:{(543,1),(544,1),(546,1),(551,1)}
       549:{3,5}:{(545,1),(547,1),(552,1)}
       550:{4,6}:{(546,1),(551,1),(552,1)}
       551:{4,7}:{(548,1),(550,1)}
       552:{4,5}:{(549,1),(550,1)}

 942 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 943 :   0:{1,2,6,7}:{(4,1),(6,1),(160,1),(244,1),(249,1),(258,1),(309,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(80,1),(86,1),(157,1),(160,1),(162,1),(173,1),(231,1),(249,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(95,1),(160,1),(309,1),(316,1),(367,1)}
         3:{2,3,5,6}:{(5,1),(9,1),(10,1),(33,1),(36,1),(38,1),(80,1),(95,1),(160,1),(231,1),(238,1),(308,1),(316,1),(372,1),(374,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(13,1),(14,1),(116,1),(205,1),(291,1)}
         5:{1,3,5,6}:{(1,1),(3,1),(12,1),(14,1),(15,1),(18,1),(47,1),(49,1),(55,1),(116,1),(118,1),(205,1),(207,1),(291,1),(358,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(14,1),(17,1),(117,1),(124,1),(201,1),(216,1),(272,1)}
         7:{1,2,4,6}:{(1,1),(15,1),(16,1),(17,1),(18,1),(51,1),(199,1),(214,1),(270,1),(282,1)}
         8:{2,4,6,7}:{(2,1),(13,1),(19,1),(20,1),(22,1),(62,1),(348,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(14,1),(20,1),(22,1),(54,1),(63,1),(117,1),(272,1),(340,1),(387,1)}
        10:{2,4,6}:{(3,1),(15,1),(21,1),(22,1),(23,1),(280,1),(392,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(148,1),(160,1),(258,1),(265,1),(330,1)}
        12:{2,3,5,6}:{(5,1),(25,1),(26,1),(33,1),(69,1),(71,1),(80,1),(148,1),(160,1),(173,1),(180,1),(257,1),(265,1),(335,1),(337,1)}
        13:{1,4,6,7}:{(4,1),(8,1),(24,1),(27,1),(29,1),(78,1),(328,1)}
        14:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(27,1),(29,1),(32,1),(85,1),(161,1)}
        15:{1,4,6}:{(5,1),(10,1),(26,1),(28,1),(29,1),(251,1)}
        16:{1,2,4,5}:{(7,1),(28,1),(31,1),(80,1),(83,1),(159,1),(162,1),(177,1),(235,1),(247,1),(251,1),(252,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(29,1),(32,1),(81,1),(242,1),(256,1),(307,1),(319,1)}
        18:{1,3,6}:{(7,1),(31,1),(32,1),(33,1),(257,1),(308,1)}
        19:{3,4,6,7}:{(8,1),(35,1),(39,1),(92,1),(95,1),(367,1),(373,1),(401,1)}
        20:{2,5,7}:{(8,1),(27,1),(35,1),(36,1),(374,1)}
        21:{2,4,5}:{(10,1),(28,1),(38,1),(80,1),(374,1),(405,1)}
        22:{2,4,7}:{(9,1),(10,1),(29,1),(39,1),(401,1)}
        23:{3,4,6}:{(10,1),(38,1),(39,1),(95,1),(308,1),(315,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(106,1),(304,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(14,1),(42,1),(44,1),(54,1),(107,1),(117,1),(216,1),(296,1),(359,1)}
        26:{2,4,6}:{(12,1),(15,1),(43,1),(44,1),(45,1),(224,1),(364,1)}
        27:{1,5,7}:{(13,1),(20,1),(42,1),(47,1),(358,1)}
        28:{1,4,5}:{(15,1),(21,1),(43,1),(49,1),(118,1),(358,1)}
        29:{1,4,7}:{(14,1),(15,1),(22,1),(44,1)}
        30:{1,3,4,6}:{(15,1),(18,1),(23,1),(45,1),(49,1),(50,1),(51,1),(52,1),(116,1)}
        31:{1,3,5}:{(16,1),(18,1),(52,1),(53,1),(221,1),(277,1),(293,1)}
        32:{1,3,7}:{(17,1),(18,1),(54,1),(296,1),(340,1)}
        33:{2,3,6}:{(18,1),(51,1),(53,1),(54,1),(55,1),(282,1)}
        34:{2,4,5,6}:{(21,1),(46,1),(57,1),(58,1),(62,1),(114,1),(127,1),(131,1),(218,1),(270,1),(344,1),(345,1),(391,1),(392,1)}
        35:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(393,1)}
        36:{2,5,6}:{(20,1),(47,1),(59,1),(62,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(48,1),(60,1),(62,1),(63,1),(117,1)}
        38:{3,5}:{(21,1),(23,1)}
        39:{3,4,7}:{(22,1),(23,1),(63,1),(340,1)}
        40:{2,3,4,6}:{(23,1),(51,1),(64,1),(65,1),(66,1),(121,1),(127,1),(135,1),(196,1),(197,1),(280,1),(341,1),(348,1),(352,1)}
        41:{3,4,6,7}:{(24,1),(68,1),(72,1),(145,1),(148,1),(330,1),(336,1),(382,1)}
        42:{2,5,7}:{(24,1),(27,1),(68,1),(69,1),(337,1)}
        43:{2,4,5}:{(26,1),(28,1),(71,1),(80,1),(337,1),(386,1)}
        44:{2,4,7}:{(25,1),(26,1),(29,1),(72,1),(382,1)}
        45:{3,4,6}:{(26,1),(71,1),(72,1),(148,1),(257,1),(264,1)}
        46:{1,4,5,6}:{(28,1),(34,1),(67,1),(75,1),(76,1),(78,1),(157,1),(170,1),(228,1),(261,1),(312,1),(325,1),(381,1)}
        47:{1,5,6}:{(27,1),(36,1),(69,1),(78,1)}
        48:{1,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(70,1),(78,1),(79,1),(161,1)}
        49:{1,3,5}:{(28,1),(30,1),(38,1),(71,1),(80,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(32,1),(39,1),(72,1),(79,1),(81,1)}
        51:{2,4,6}:{(30,1),(33,1),(80,1),(81,1),(82,1),(83,1),(160,1)}
        52:{1,3,4}:{(31,1),(83,1),(251,1),(264,1),(315,1)}
        53:{2,3,5}:{(31,1),(33,1),(80,1),(83,1),(84,1),(247,1),(253,1)}
        54:{2,3,7}:{(32,1),(33,1),(81,1),(85,1),(319,1)}
        55:{1,3,6}:{(33,1),(82,1),(84,1),(85,1),(86,1)}
        56:{2,5,6,7}:{(36,1),(74,1),(87,1),(89,1),(254,1),(366,1),(404,1)}
        57:{2,4,5,7}:{(34,1),(75,1),(89,1),(90,1),(156,1),(167,1),(169,1),(254,1),(307,1),(366,1),(401,1)}
        58:{3,5,6}:{(34,1),(38,1),(88,1),(90,1),(95,1),(308,1),(369,1),(403,1)}
        59:{3,5,6}:{(35,1),(36,1),(92,1),(95,1)}
        60:{4,5,7}:{(35,1),(92,1),(401,1),(405,1)}
        61:{3,4,5}:{(38,1),(88,1),(94,1),(315,1),(369,1),(405,1)}
        62:{2,4,6}:{(36,1),(37,1),(78,1),(92,1),(95,1),(160,1)}
        63:{3,5,7}:{(37,1),(38,1),(39,1),(95,1)}
        64:{2,3,5}:{(38,1),(40,1),(80,1),(94,1),(97,1),(369,1),(374,1),(378,1)}
        65:{2,3,4,7}:{(39,1),(40,1),(81,1),(96,1),(98,1),(169,1),(239,1),(240,1),(317,1),(368,1),(377,1)}
        66:{1,3,4,6}:{(40,1),(82,1),(97,1),(98,1),(99,1),(164,1),(165,1),(170,1),(178,1),(241,1),(251,1),(257,1),(264,1),(328,1),(336,1),(376,1)}
        67:{2,4,5,6}:{(43,1),(46,1),(101,1),(102,1),(106,1),(114,1),(184,1),(188,1),(214,1),(274,1),(300,1),(301,1),(363,1),(364,1)}
        68:{3,5,7}:{(41,1),(42,1),(103,1),(104,1),(365,1)}
        69:{2,5,6}:{(42,1),(47,1),(103,1),(106,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(104,1),(106,1),(107,1),(117,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(107,1),(296,1)}
        73:{2,3,4,6}:{(45,1),(51,1),(108,1),(109,1),(110,1),(121,1),(139,1),(184,1),(192,1),(197,1),(224,1),(297,1),(304,1),(352,1)}
        74:{1,5,6,7}:{(47,1),(56,1),(100,1),(112,1),(294,1),(338,1),(398,1)}
        75:{1,4,5,7}:{(46,1),(57,1),(101,1),(112,1),(113,1),(201,1),(213,1),(269,1),(294,1),(338,1)}
        76:{1,3,5,6}:{(46,1),(49,1),(58,1),(102,1),(111,1),(113,1),(114,1),(116,1),(354,1),(397,1)}
        77:{1,3,4,5}:{(49,1),(52,1),(61,1),(105,1),(111,1),(115,1),(134,1),(191,1),(203,1),(221,1),(277,1),(290,1),(354,1)}
        78:{1,4,6}:{(47,1),(48,1),(62,1),(106,1),(116,1),(205,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(63,1),(107,1),(116,1),(117,1)}
        80:{2,5}:{(49,1),(51,1),(118,1)}
        81:{2,4,7}:{(50,1),(51,1),(54,1),(117,1),(119,1)}
        82:{1,4,6}:{(51,1),(55,1),(118,1),(119,1),(122,1),(205,1)}
        83:{2,4}:{(52,1),(53,1),(122,1)}
        84:{1,3,5}:{(53,1),(55,1),(118,1),(122,1),(123,1),(210,1)}
        85:{1,3,7}:{(54,1),(55,1),(119,1),(124,1)}
        86:{1,2,6}:{(55,1),(123,1),(124,1),(282,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(125,1),(128,1),(211,1),(387,1),(410,1)}
        88:{3,4,6}:{(58,1),(61,1),(126,1),(127,1),(392,1)}
        89:{2,4,6,7}:{(56,1),(57,1),(62,1),(112,1),(125,1),(128,1),(200,1),(391,1)}
        90:{3,5,7}:{(57,1),(58,1),(126,1),(128,1),(340,1)}
        91:{2,3,5,6}:{(58,1),(64,1),(114,1),(127,1),(129,1),(130,1),(135,1),(197,1),(218,1)}
        92:{4,6}:{(59,1),(60,1)}
        93:{3,4,5,7}:{(60,1),(61,1),(63,1),(126,1),(132,1),(133,1),(211,1),(347,1),(389,1),(393,1),(409,1)}
        94:{2,4,5}:{(61,1),(64,1),(127,1),(134,1),(280,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,3,5,7}:{(63,1),(64,1),(65,1),(117,1),(133,1),(135,1),(136,1),(389,1),(396,1)}
        97:{1,3,5}:{(64,1),(66,1),(118,1),(134,1),(137,1),(221,1),(358,1),(365,1),(395,1)}
        98:{1,3,4,7}:{(65,1),(66,1),(119,1),(136,1),(138,1),(208,1),(213,1),(281,1),(292,1),(296,1),(303,1),(394,1)}
        99:{2,4,6}:{(66,1),(137,1),(138,1),(139,1),(209,1),(222,1),(224,1),(282,1)}
       100:{2,5,6,7}:{(69,1),(74,1),(140,1),(142,1),(305,1),(329,1),(385,1)}
       101:{2,4,5,7}:{(67,1),(75,1),(142,1),(143,1),(156,1),(225,1),(227,1),(256,1),(305,1),(329,1),(382,1)}
       102:{3,5,6}:{(67,1),(71,1),(141,1),(143,1),(148,1),(257,1),(332,1),(384,1)}
       103:{3,5,6}:{(68,1),(69,1),(145,1),(148,1)}
       104:{4,5,7}:{(68,1),(145,1),(382,1),(386,1)}
       105:{3,4,5}:{(71,1),(141,1),(147,1),(264,1),(332,1),(386,1)}
       106:{2,4,6}:{(69,1),(70,1),(78,1),(145,1),(148,1),(160,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(148,1)}
       108:{2,3,5}:{(71,1),(73,1),(80,1),(147,1),(150,1),(332,1),(337,1),(378,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(81,1),(149,1),(151,1),(181,1),(227,1),(240,1),(266,1),(331,1),(377,1)}
       110:{1,3,4,6}:{(73,1),(82,1),(150,1),(151,1),(152,1),(164,1),(165,1),(228,1),(236,1),(241,1),(251,1),(308,1),(315,1),(328,1),(373,1),(376,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(88,1),(141,1),(153,1),(154,1),(170,1),(228,1),(241,1),(257,1),(308,1)}
       112:{1,4,6,7}:{(74,1),(75,1),(78,1),(89,1),(142,1),(155,1),(244,1),(381,1)}
       113:{1,3,5,7}:{(75,1),(76,1),(90,1),(143,1),(153,1),(155,1),(156,1)}
       114:{2,5,6}:{(76,1),(80,1),(154,1),(156,1),(157,1),(160,1),(378,1),(407,1)}
       115:{2,4,5}:{(77,1),(80,1),(83,1),(154,1),(158,1),(159,1),(247,1),(327,1),(378,1)}
       116:{1,3,6}:{(78,1),(79,1),(95,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(85,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(86,1),(99,1),(152,1),(162,1),(163,1),(164,1),(166,1),(249,1),(251,1),(252,1),(318,1),(328,1),(376,1)}
       121:{2,3,4}:{(83,1),(158,1),(165,1),(253,1),(264,1),(315,1),(327,1)}
       122:{1,4}:{(83,1),(84,1)}
       123:{1,2,5}:{(84,1),(86,1),(166,1),(247,1)}
       124:{1,2,7}:{(85,1),(86,1),(319,1)}
       125:{4,6,7}:{(87,1),(92,1),(167,1),(401,1),(412,1)}
       126:{3,4,7}:{(88,1),(90,1),(169,1),(401,1)}
       127:{2,4,6}:{(88,1),(91,1),(94,1),(169,1),(170,1)}
       128:{3,6,7}:{(89,1),(90,1),(95,1),(403,1)}
       129:{2,3,5,7}:{(90,1),(91,1),(156,1),(169,1),(171,1),(172,1),(240,1),(254,1)}
       130:{1,3,5,6}:{(91,1),(97,1),(157,1),(170,1),(172,1),(173,1),(178,1),(241,1),(257,1),(261,1),(335,1)}
       131:{4,5,6}:{(92,1),(167,1),(174,1),(405,1),(412,1)}
       132:{3,4,6}:{(92,1),(93,1),(95,1),(174,1),(175,1),(403,1),(412,1)}
       133:{2,4,5,7}:{(93,1),(94,1),(96,1),(169,1),(175,1),(176,1),(254,1),(317,1),(374,1)}
       134:{1,4,5}:{(94,1),(97,1),(170,1),(177,1),(251,1),(386,1)}
       135:{2,3,6}:{(95,1),(96,1),(160,1),(175,1),(178,1),(403,1),(407,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(98,1),(161,1),(176,1),(178,1),(179,1),(263,1),(406,1)}
       137:{2,5}:{(97,1),(99,1)}
       138:{2,4,7}:{(98,1),(99,1),(179,1),(181,1),(319,1)}
       139:{2,3,6}:{(99,1),(164,1),(180,1),(181,1),(253,1),(257,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(182,1),(185,1),(267,1),(359,1),(400,1)}
       141:{3,4,6}:{(102,1),(105,1),(183,1),(184,1),(364,1)}
       142:{2,4,6,7}:{(100,1),(101,1),(106,1),(112,1),(182,1),(185,1),(200,1),(363,1)}
       143:{3,5,7}:{(101,1),(102,1),(183,1),(185,1),(296,1)}
       144:{2,3,5,6}:{(102,1),(108,1),(114,1),(184,1),(186,1),(187,1),(192,1),(197,1),(274,1)}
       145:{4,6}:{(103,1),(104,1)}
       146:{3,4,5,7}:{(104,1),(105,1),(107,1),(183,1),(189,1),(190,1),(267,1),(303,1),(361,1),(365,1),(399,1)}
       147:{2,4,5}:{(105,1),(108,1),(184,1),(191,1),(224,1)}
       148:{3,6}:{(106,1),(107,1)}
       149:{2,3,5,7}:{(107,1),(108,1),(109,1),(117,1),(190,1),(192,1),(193,1),(361,1),(396,1)}
       150:{1,3,5}:{(108,1),(110,1),(118,1),(191,1),(194,1),(277,1),(358,1),(393,1),(395,1)}
       151:{1,3,4,7}:{(109,1),(110,1),(119,1),(193,1),(195,1),(208,1),(269,1),(281,1),(292,1),(340,1),(347,1),(394,1)}
       152:{2,4,6}:{(110,1),(194,1),(195,1),(196,1),(209,1),(278,1),(280,1),(282,1)}
       153:{1,3,4,7}:{(111,1),(113,1),(126,1),(183,1),(198,1),(213,1),(269,1),(281,1),(296,1),(340,1)}
       154:{2,4,6}:{(111,1),(114,1),(115,1),(197,1),(198,1),(199,1),(282,1)}
       155:{1,3,6,7}:{(112,1),(113,1),(116,1),(128,1),(185,1),(200,1),(397,1)}
       156:{2,5,7}:{(113,1),(114,1),(198,1),(200,1),(201,1)}
       157:{1,5,6}:{(114,1),(118,1),(199,1),(201,1),(205,1),(395,1),(411,1)}
       158:{2,3,5}:{(115,1),(121,1),(197,1),(203,1),(221,1),(277,1)}
       159:{1,4,5}:{(115,1),(118,1),(122,1),(199,1),(203,1),(357,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(137,1),(194,1),(207,1),(358,1),(395,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(124,1),(138,1),(195,1),(206,1),(208,1),(292,1),(349,1),(394,1)}
       164:{1,3,6}:{(120,1),(139,1),(196,1),(207,1),(208,1),(210,1),(293,1)}
       165:{1,3,4}:{(121,1),(122,1),(203,1),(209,1),(210,1),(293,1),(357,1)}
       166:{1,2,4}:{(122,1),(123,1),(209,1),(210,1)}
       167:{4,5,7}:{(125,1),(131,1),(211,1)}
       168:{3,4,6,7}:{(125,1),(126,1),(128,1),(132,1),(211,1),(212,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(213,1)}
       170:{1,4,6}:{(127,1),(130,1),(134,1),(213,1),(214,1),(364,1)}
       171:{2,3,6,7}:{(128,1),(129,1),(135,1),(200,1),(212,1),(215,1)}
       172:{1,3,5,7}:{(129,1),(130,1),(201,1),(213,1),(215,1),(216,1),(281,1),(294,1),(296,1),(359,1)}
       173:{2,5,6}:{(130,1),(137,1),(214,1),(216,1),(222,1),(282,1)}
       174:{3,5,6}:{(131,1),(132,1),(211,1),(218,1),(393,1)}
       175:{2,4,6}:{(132,1),(133,1),(135,1),(218,1),(219,1)}
       176:{1,4,5,7}:{(133,1),(134,1),(136,1),(213,1),(219,1),(220,1),(292,1),(294,1),(358,1)}
       177:{2,4,5}:{(134,1),(137,1),(214,1),(221,1),(224,1)}
       178:{1,3,6}:{(135,1),(136,1),(205,1),(219,1),(222,1),(302,1),(411,1)}
       179:{2,5,7}:{(136,1),(137,1),(138,1),(222,1)}
       180:{2,3,5}:{(137,1),(139,1),(207,1),(221,1),(224,1)}
       181:{2,3,7}:{(138,1),(139,1),(208,1),(296,1)}
       182:{4,6,7}:{(140,1),(145,1),(225,1),(382,1),(408,1)}
       183:{3,4,7}:{(141,1),(143,1),(227,1),(382,1)}
       184:{2,4,6}:{(141,1),(144,1),(147,1),(227,1),(228,1)}
       185:{3,6,7}:{(142,1),(143,1),(148,1),(384,1)}
       186:{2,3,5,7}:{(143,1),(144,1),(156,1),(227,1),(229,1),(230,1),(240,1),(305,1)}
       187:{1,3,5,6}:{(144,1),(150,1),(157,1),(228,1),(230,1),(231,1),(236,1),(241,1),(308,1),(312,1),(372,1)}
       188:{4,5,6}:{(145,1),(225,1),(232,1),(386,1),(408,1)}
       189:{3,4,6}:{(145,1),(146,1),(148,1),(232,1),(233,1),(384,1),(408,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(149,1),(227,1),(233,1),(234,1),(266,1),(305,1),(337,1)}
       191:{1,4,5}:{(147,1),(150,1),(228,1),(235,1),(251,1),(405,1)}
       192:{2,3,6}:{(148,1),(149,1),(160,1),(233,1),(236,1),(384,1),(407,1)}
       193:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(234,1),(236,1),(237,1),(314,1),(406,1)}
       194:{2,5}:{(150,1),(152,1)}
       195:{2,4,7}:{(151,1),(152,1),(237,1),(239,1),(319,1)}
       196:{2,3,6}:{(152,1),(164,1),(238,1),(239,1),(253,1),(308,1)}
       197:{2,3,6}:{(154,1),(158,1),(240,1),(241,1),(257,1),(308,1)}
       198:{2,4,7}:{(153,1),(154,1),(156,1),(240,1),(242,1),(319,1)}
       199:{1,4,6}:{(154,1),(157,1),(159,1),(241,1),(242,1)}
       200:{2,6,7}:{(155,1),(156,1),(160,1),(244,1),(407,1)}
       201:{1,5,7}:{(156,1),(157,1),(242,1),(244,1)}
       202:{1,2,5,6}:{(157,1),(162,1),(173,1),(231,1),(243,1),(245,1),(246,1),(249,1),(318,1),(378,1),(407,1)}
       203:{1,3,5}:{(158,1),(159,1),(165,1),(241,1),(247,1)}
       204:{1,2,4,5}:{(159,1),(162,1),(166,1),(177,1),(235,1),(243,1),(247,1),(248,1),(251,1),(325,1),(327,1),(378,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(179,1),(237,1),(249,1),(250,1),(406,1)}
       207:{1,3,5}:{(162,1),(164,1),(180,1),(238,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(181,1),(239,1)}
       209:{2,4}:{(165,1),(247,1),(253,1)}
       210:{1,3}:{(166,1),(253,1)}
       211:{3,5,7}:{(167,1),(168,1),(174,1),(254,1)}
       212:{2,4,6,7}:{(168,1),(169,1),(171,1),(175,1),(254,1),(255,1)}
       213:{1,4,7}:{(169,1),(170,1),(172,1),(256,1),(382,1)}
       214:{2,4,6}:{(170,1),(173,1),(177,1),(256,1),(257,1)}
       215:{1,3,6,7}:{(171,1),(172,1),(178,1),(244,1),(255,1),(258,1),(330,1)}
       216:{2,5,7}:{(172,1),(173,1),(256,1),(258,1),(319,1)}
       217:{2,3,5,6}:{(173,1),(180,1),(246,1),(257,1),(259,1),(260,1),(265,1),(320,1),(332,1),(335,1),(337,1),(378,1),(384,1),(385,1),(407,1)}
       218:{2,5,6}:{(174,1),(175,1),(254,1),(261,1),(374,1)}
       219:{1,4,6}:{(175,1),(176,1),(178,1),(261,1),(262,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(179,1),(256,1),(262,1),(263,1),(266,1),(329,1),(337,1),(382,1),(386,1)}
       221:{3,5}:{(177,1),(257,1),(264,1)}
       222:{2,6}:{(178,1),(179,1)}
       223:{2,3,5,7}:{(179,1),(180,1),(181,1),(250,1),(263,1),(265,1),(266,1),(337,1)}
       224:{2,4}:{(180,1),(251,1),(264,1)}
       225:{4,5,7}:{(182,1),(188,1),(267,1)}
       226:{3,4,6,7}:{(182,1),(183,1),(185,1),(189,1),(267,1),(268,1)}
       227:{2,4,7}:{(183,1),(184,1),(186,1),(269,1)}
       228:{1,4,6}:{(184,1),(187,1),(191,1),(269,1),(270,1),(392,1)}
       229:{2,3,6,7}:{(185,1),(186,1),(192,1),(200,1),(268,1),(271,1)}
       230:{1,3,5,7}:{(186,1),(187,1),(201,1),(269,1),(271,1),(272,1),(281,1),(338,1),(340,1),(387,1)}
       231:{2,5,6}:{(187,1),(194,1),(270,1),(272,1),(278,1),(282,1)}
       232:{3,5,6}:{(188,1),(189,1),(267,1),(274,1),(365,1)}
       233:{2,4,6}:{(189,1),(190,1),(192,1),(274,1),(275,1)}
       234:{1,4,5,7}:{(190,1),(191,1),(193,1),(269,1),(275,1),(276,1),(292,1),(338,1),(358,1)}
       235:{2,4,5}:{(191,1),(194,1),(270,1),(277,1),(280,1)}
       236:{1,3,6}:{(192,1),(193,1),(205,1),(275,1),(278,1),(346,1),(411,1)}
       237:{2,5,7}:{(193,1),(194,1),(195,1),(278,1)}
       238:{2,3,5}:{(194,1),(196,1),(207,1),(277,1),(280,1)}
       239:{2,3,7}:{(195,1),(196,1),(208,1),(340,1)}
       240:{2,3,7}:{(197,1),(198,1),(281,1),(296,1),(340,1)}
       241:{1,3,6}:{(197,1),(199,1),(203,1),(281,1),(282,1)}
       242:{1,4,7}:{(198,1),(199,1),(201,1),(281,1)}
       243:{1,2,4,6}:{(199,1),(202,1),(204,1),(214,1),(270,1),(282,1),(283,1),(284,1),(287,1),(352,1)}
       244:{1,6,7}:{(200,1),(201,1),(205,1),(411,1)}
       245:{1,2,5,7}:{(201,1),(202,1),(216,1),(272,1),(283,1),(285,1),(286,1),(349,1),(396,1)}
       246:{1,3,5,6}:{(202,1),(207,1),(217,1),(273,1),(284,1),(286,1),(287,1),(291,1),(350,1),(354,1),(358,1),(395,1),(397,1),(398,1),(411,1)}
       247:{2,5}:{(203,1),(209,1),(282,1)}
       248:{1,3,5}:{(204,1),(210,1),(221,1),(277,1),(284,1),(289,1),(290,1)}
       249:{1,2,6}:{(205,1),(206,1),(222,1),(278,1),(291,1),(411,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(223,1),(279,1),(291,1),(292,1),(358,1)}
       251:{1,4}:{(207,1),(224,1),(280,1)}
       252:{1,2,4}:{(209,1),(288,1),(293,1),(357,1)}
       253:{2,3}:{(209,1),(210,1),(293,1)}
       254:{2,5,7}:{(211,1),(212,1),(218,1),(294,1)}
       255:{1,4,6,7}:{(212,1),(213,1),(215,1),(219,1),(294,1),(295,1)}
       256:{2,4,7}:{(213,1),(214,1),(216,1),(296,1)}
       257:{3,6}:{(214,1),(221,1),(296,1)}
       258:{2,6,7}:{(215,1),(216,1),(222,1)}
       259:{2,3,5,7}:{(216,1),(217,1),(286,1),(296,1),(298,1),(299,1),(351,1),(359,1),(361,1),(362,1),(396,1)}
       260:{2,4,6}:{(217,1),(224,1),(287,1),(297,1),(299,1),(300,1),(364,1)}
       261:{1,5,6}:{(218,1),(219,1),(294,1),(301,1),(358,1)}
       262:{2,4,6}:{(219,1),(220,1),(222,1),(301,1),(302,1),(364,1)}
       263:{3,5,7}:{(220,1),(221,1),(296,1),(302,1),(303,1),(365,1)}
       264:{3,4}:{(221,1),(224,1)}
       265:{2,3,6}:{(222,1),(223,1),(291,1),(302,1),(304,1)}
       266:{2,4,7}:{(223,1),(224,1),(292,1),(303,1),(304,1)}
       267:{3,5,7}:{(225,1),(226,1),(232,1),(305,1)}
       268:{2,4,6,7}:{(226,1),(227,1),(229,1),(233,1),(305,1),(306,1)}
       269:{1,4,7}:{(227,1),(228,1),(230,1),(307,1),(401,1)}
       270:{2,4,6}:{(228,1),(231,1),(235,1),(307,1),(308,1)}
       271:{1,3,6,7}:{(229,1),(230,1),(236,1),(244,1),(306,1),(309,1),(367,1)}
       272:{2,5,7}:{(230,1),(231,1),(307,1),(309,1),(319,1)}
       273:{2,3,5,6}:{(231,1),(238,1),(246,1),(308,1),(310,1),(311,1),(316,1),(320,1),(369,1),(372,1),(374,1),(378,1),(403,1),(404,1),(407,1)}
       274:{2,5,6}:{(232,1),(233,1),(305,1),(312,1),(337,1)}
       275:{1,4,6}:{(233,1),(234,1),(236,1),(312,1),(313,1)}
       276:{2,4,5,7}:{(234,1),(235,1),(237,1),(307,1),(313,1),(314,1),(317,1),(366,1),(374,1),(401,1),(405,1)}
       277:{3,5}:{(235,1),(308,1),(315,1)}
       278:{2,6}:{(236,1),(237,1)}
       279:{2,3,5,7}:{(237,1),(238,1),(239,1),(250,1),(314,1),(316,1),(317,1),(374,1)}
       280:{2,4}:{(238,1),(251,1),(315,1)}
       281:{1,3,7}:{(240,1),(241,1),(242,1),(319,1)}
       282:{2,6}:{(241,1),(247,1),(319,1)}
       283:{1,2,4,7}:{(242,1),(243,1),(245,1),(256,1),(307,1),(319,1),(321,1),(324,1),(377,1)}
       284:{1,3,6}:{(243,1),(248,1),(257,1),(308,1),(320,1),(321,1)}
       285:{1,2,6,7}:{(244,1),(245,1),(249,1),(258,1),(309,1),(323,1),(407,1)}
       286:{1,3,5,7}:{(245,1),(246,1),(259,1),(310,1),(321,1),(323,1),(324,1),(375,1),(380,1),(406,1)}
       287:{1,4,6}:{(246,1),(251,1),(260,1),(311,1),(324,1),(325,1)}
       288:{1,2,5}:{(247,1),(252,1),(318,1),(326,1)}
       289:{2,3,5}:{(247,1),(248,1),(253,1),(320,1),(326,1),(327,1),(378,1)}
       290:{1,3,4}:{(248,1),(251,1),(264,1),(315,1),(327,1)}
       291:{1,3,6}:{(249,1),(250,1),(265,1),(316,1),(328,1)}
       292:{1,4,7}:{(250,1),(251,1),(266,1),(317,1),(328,1)}
       293:{1,3}:{(252,1),(253,1)}
       294:{1,5,7}:{(254,1),(255,1),(261,1),(329,1)}
       295:{2,4,6,7}:{(255,1),(256,1),(258,1),(262,1),(329,1),(330,1),(382,1)}
       296:{3,7}:{(256,1),(257,1)}
       297:{3,4,6}:{(257,1),(260,1),(264,1),(331,1),(332,1),(384,1)}
       298:{2,3,6,7}:{(258,1),(259,1),(265,1),(323,1),(330,1),(333,1),(384,1),(407,1)}
       299:{2,4,7}:{(259,1),(260,1),(324,1),(331,1),(382,1)}
       300:{2,4,5}:{(260,1),(325,1),(332,1),(337,1),(378,1),(386,1)}
       301:{2,5,6}:{(261,1),(262,1),(329,1),(335,1),(337,1)}
       302:{3,6}:{(262,1),(263,1)}
       303:{3,4,7}:{(263,1),(264,1),(266,1),(336,1),(382,1)}
       304:{2,4,6}:{(265,1),(266,1),(328,1),(336,1),(337,1)}
       305:{2,5,7}:{(267,1),(268,1),(274,1),(338,1)}
       306:{1,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(338,1),(339,1)}
       307:{2,4,7}:{(269,1),(270,1),(272,1),(340,1)}
       308:{3,6}:{(270,1),(277,1),(340,1)}
       309:{2,6,7}:{(271,1),(272,1),(278,1)}
       310:{2,3,5,7}:{(272,1),(273,1),(286,1),(340,1),(342,1),(343,1),(351,1),(387,1),(389,1),(390,1),(396,1)}
       311:{2,4,6}:{(273,1),(280,1),(287,1),(341,1),(343,1),(344,1),(392,1)}
       312:{1,5,6}:{(274,1),(275,1),(338,1),(345,1),(358,1)}
       313:{2,4,6}:{(275,1),(276,1),(278,1),(345,1),(346,1),(392,1)}
       314:{3,5,7}:{(276,1),(277,1),(340,1),(346,1),(347,1),(393,1)}
       315:{3,4}:{(277,1),(280,1)}
       316:{2,3,6}:{(278,1),(279,1),(291,1),(346,1),(348,1)}
       317:{2,4,7}:{(279,1),(280,1),(292,1),(347,1),(348,1)}
       318:{1,2,6}:{(282,1),(288,1),(349,1),(350,1)}
       319:{2,7}:{(281,1),(282,1)}
       320:{2,3,6}:{(282,1),(284,1),(289,1),(350,1),(351,1),(352,1)}
       321:{1,3,7}:{(283,1),(284,1),(296,1),(340,1),(351,1)}
       322:{1,3,4,6}:{(284,1),(287,1),(290,1),(297,1),(341,1),(352,1),(353,1),(354,1),(397,1)}
       323:{1,3,6,7}:{(285,1),(286,1),(291,1),(298,1),(342,1),(355,1),(397,1),(411,1)}
       324:{1,4,7}:{(286,1),(287,1),(299,1),(343,1)}
       325:{1,4,5}:{(287,1),(300,1),(344,1),(354,1),(358,1),(395,1)}
       326:{1,3,5}:{(288,1),(289,1),(293,1),(350,1),(357,1),(395,1)}
       327:{2,4}:{(289,1),(290,1),(357,1)}
       328:{1,4,6}:{(291,1),(292,1),(304,1),(348,1),(358,1)}
       329:{2,5,7}:{(294,1),(295,1),(301,1),(359,1)}
       330:{3,6,7}:{(295,1),(296,1),(302,1),(359,1)}
       331:{3,4,7}:{(296,1),(297,1),(299,1),(361,1)}
       332:{3,5}:{(297,1),(300,1)}
       333:{2,4,6,7}:{(298,1),(299,1),(304,1),(355,1),(360,1),(362,1),(363,1)}
       334:{2,4,5,7}:{(299,1),(300,1),(356,1),(361,1),(362,1),(363,1),(396,1),(399,1)}
       335:{3,5,6}:{(301,1),(302,1),(359,1),(364,1),(365,1)}
       336:{3,4,6}:{(302,1),(303,1),(304,1),(364,1),(365,1)}
       337:{2,5}:{(304,1),(358,1),(365,1)}
       338:{1,5,7}:{(305,1),(306,1),(312,1),(366,1)}
       339:{2,4,6,7}:{(306,1),(307,1),(309,1),(313,1),(366,1),(367,1),(401,1)}
       340:{3,7}:{(307,1),(308,1)}
       341:{3,4,6}:{(308,1),(311,1),(315,1),(368,1),(369,1),(403,1)}
       342:{2,3,6,7}:{(309,1),(310,1),(316,1),(323,1),(367,1),(370,1),(403,1),(407,1)}
       343:{2,4,7}:{(310,1),(311,1),(324,1),(368,1),(401,1)}
       344:{2,4,5}:{(311,1),(325,1),(369,1),(374,1),(378,1),(405,1)}
       345:{2,5,6}:{(312,1),(313,1),(366,1),(372,1),(374,1)}
       346:{3,6}:{(313,1),(314,1)}
       347:{3,4,7}:{(314,1),(315,1),(317,1),(373,1),(401,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(373,1),(374,1)}
       349:{1,2,7}:{(318,1),(319,1),(375,1)}
       350:{1,3,6}:{(318,1),(320,1),(326,1),(375,1),(376,1)}
       351:{2,3,7}:{(319,1),(320,1),(321,1),(375,1),(377,1)}
       352:{2,4,6}:{(320,1),(322,1),(327,1),(376,1),(377,1),(378,1),(407,1)}
       353:{1,3,4,7}:{(321,1),(322,1),(324,1),(331,1),(368,1),(377,1),(379,1)}
       354:{1,3,5}:{(322,1),(325,1),(332,1),(369,1),(378,1)}
       355:{1,4,6,7}:{(323,1),(324,1),(328,1),(333,1),(370,1),(380,1),(381,1)}
       356:{1,4,5,7}:{(324,1),(325,1),(334,1),(371,1),(379,1),(380,1),(381,1),(406,1)}
       357:{1,4}:{(326,1),(327,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(335,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(334,1),(384,1)}
       362:{2,5,7}:{(333,1),(337,1),(380,1),(383,1),(385,1)}
       363:{2,4,6}:{(334,1),(381,1),(384,1),(385,1),(407,1),(408,1)}
       364:{4,6}:{(335,1),(382,1),(386,1)}
       365:{3,5}:{(336,1),(337,1),(386,1)}
       366:{2,5,7}:{(338,1),(339,1),(345,1),(387,1)}
       367:{3,6,7}:{(339,1),(340,1),(346,1),(387,1)}
       368:{3,4,7}:{(340,1),(341,1),(343,1),(389,1)}
       369:{3,5}:{(341,1),(344,1)}
       370:{2,4,6,7}:{(342,1),(343,1),(348,1),(355,1),(388,1),(390,1),(391,1)}
       371:{2,4,5,7}:{(343,1),(344,1),(356,1),(389,1),(390,1),(391,1),(396,1),(409,1)}
       372:{3,5,6}:{(345,1),(346,1),(387,1),(392,1),(393,1)}
       373:{3,4,6}:{(346,1),(347,1),(348,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(393,1)}
       375:{1,3,7}:{(349,1),(350,1),(351,1),(394,1)}
       376:{1,4,6}:{(350,1),(352,1),(357,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(351,1),(352,1),(353,1),(394,1),(396,1)}
       378:{2,5}:{(352,1),(354,1),(395,1)}
       379:{1,3,5,7}:{(353,1),(354,1),(356,1),(361,1),(389,1),(396,1),(397,1)}
       380:{1,5,7}:{(355,1),(358,1),(362,1),(390,1),(398,1)}
       381:{1,4,6}:{(356,1),(363,1),(391,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(364,1)}
       383:{3,5,7}:{(360,1),(362,1),(365,1),(399,1),(400,1)}
       384:{3,6}:{(361,1),(363,1)}
       385:{2,5,6}:{(362,1),(363,1),(398,1),(400,1)}
       386:{4,5}:{(364,1),(365,1)}
       387:{3,5,7}:{(366,1),(367,1),(372,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(370,1),(373,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(371,1),(403,1)}
       390:{2,5,7}:{(370,1),(374,1),(380,1),(402,1),(404,1)}
       391:{2,4,6}:{(371,1),(381,1),(403,1),(404,1),(407,1),(412,1)}
       392:{4,6}:{(372,1),(401,1),(405,1)}
       393:{3,5}:{(373,1),(374,1),(405,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(384,1),(403,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(385,1),(404,1)}
       399:{4,5,7}:{(382,1),(383,1),(386,1),(408,1)}
       400:{3,5,6}:{(383,1),(384,1),(385,1),(408,1)}
       401:{4,7}:{(387,1),(392,1)}
       402:{3,5,7}:{(388,1),(390,1),(393,1),(409,1),(410,1)}
       403:{3,6}:{(389,1),(391,1)}
       404:{2,5,6}:{(390,1),(391,1),(398,1),(410,1)}
       405:{4,5}:{(392,1),(393,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(405,1),(412,1)}
       410:{3,5,6}:{(402,1),(403,1),(404,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 944 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

 945 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 946 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(68,1),(74,1),(149,1),(153,1),(155,1),(165,1),(227,1),(249,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(25,1),(28,1),(68,1),(84,1),(85,1),(155,1),(227,1),(231,1),(304,1),(317,1),(371,1),(374,1)}
         2:{1,3,5,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(40,1),(45,1),(107,1),(109,1),(110,1),(200,1),(202,1),(292,1),(358,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(11,1),(12,1),(42,1),(193,1),(204,1),(264,1),(282,1)}
         4:{1,2,5,7}:{(0,1),(10,1),(12,1),(13,1),(108,1),(113,1),(198,1),(214,1),(274,1)}
         5:{2,4,6}:{(1,1),(9,1),(14,1),(15,1),(16,1),(277,1),(391,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(16,1),(17,1),(46,1),(51,1),(56,1),(108,1),(274,1),(339,1),(389,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(25,1),(58,1),(68,1),(138,1),(139,1),(155,1),(165,1),(169,1),(250,1),(263,1),(334,1),(337,1)}
         8:{1,2,4,5}:{(3,1),(20,1),(21,1),(64,1),(68,1),(147,1),(153,1),(161,1),(223,1),(236,1),(239,1),(247,1)}
         9:{1,4,6}:{(2,1),(5,1),(18,1),(21,1),(23,1),(247,1)}
        10:{1,3,5,7}:{(2,1),(4,1),(6,1),(19,1),(23,1),(24,1),(26,1),(73,1),(75,1),(154,1)}
        11:{1,3,6}:{(3,1),(20,1),(25,1),(26,1),(250,1),(304,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(23,1),(26,1),(72,1),(242,1),(251,1),(305,1),(321,1)}
        13:{1,2,6,7}:{(4,1),(24,1),(155,1),(246,1),(249,1),(261,1),(315,1)}
        14:{2,4,5}:{(5,1),(21,1),(28,1),(68,1),(374,1),(404,1)}
        15:{3,4,6}:{(5,1),(28,1),(31,1),(84,1),(304,1),(309,1)}
        16:{2,4,7}:{(5,1),(6,1),(23,1),(31,1),(403,1)}
        17:{2,3,6,7}:{(6,1),(24,1),(32,1),(84,1),(155,1),(315,1),(317,1),(368,1)}
        18:{2,4,6}:{(7,1),(9,1),(33,1),(34,1),(35,1),(217,1),(363,1)}
        19:{2,3,5,7}:{(7,1),(10,1),(35,1),(36,1),(46,1),(93,1),(98,1),(108,1),(214,1),(294,1),(361,1)}
        20:{1,3,5}:{(8,1),(11,1),(37,1),(38,1),(208,1),(268,1),(281,1)}
        21:{1,4,5}:{(9,1),(14,1),(33,1),(40,1),(107,1),(358,1)}
        22:{1,3,4,6}:{(9,1),(11,1),(15,1),(34,1),(37,1),(40,1),(42,1),(43,1),(109,1)}
        23:{1,4,7}:{(9,1),(10,1),(16,1),(35,1)}
        24:{1,3,6,7}:{(10,1),(13,1),(17,1),(36,1),(44,1),(109,1),(202,1),(292,1)}
        25:{2,3,6}:{(11,1),(38,1),(42,1),(45,1),(46,1),(282,1)}
        26:{1,3,7}:{(11,1),(12,1),(46,1),(294,1),(339,1)}
        27:{2,4,5,6}:{(14,1),(39,1),(48,1),(49,1),(52,1),(104,1),(114,1),(211,1),(212,1),(264,1),(344,1),(345,1),(391,1),(392,1)}
        28:{3,5}:{(14,1),(15,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(41,1),(51,1),(52,1),(56,1),(108,1),(129,1)}
        30:{2,3,4,6}:{(15,1),(42,1),(50,1),(53,1),(54,1),(99,1),(114,1),(125,1),(187,1),(190,1),(277,1),(338,1),(348,1),(352,1)}
        31:{3,4,7}:{(15,1),(16,1),(51,1),(339,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(44,1),(52,1),(55,1),(56,1),(348,1)}
        33:{2,4,5}:{(18,1),(21,1),(58,1),(68,1),(337,1),(385,1)}
        34:{3,4,6}:{(18,1),(58,1),(61,1),(138,1),(250,1),(255,1)}
        35:{2,4,7}:{(18,1),(19,1),(23,1),(61,1),(384,1)}
        36:{2,3,6,7}:{(19,1),(24,1),(62,1),(138,1),(155,1),(261,1),(263,1),(331,1)}
        37:{1,3,4}:{(20,1),(64,1),(247,1),(255,1),(309,1)}
        38:{2,3,5}:{(20,1),(25,1),(64,1),(65,1),(68,1),(239,1),(240,1)}
        39:{1,4,5,6}:{(21,1),(27,1),(57,1),(66,1),(67,1),(70,1),(149,1),(158,1),(220,1),(258,1),(312,1),(325,1),(380,1)}
        40:{1,3,5}:{(21,1),(22,1),(28,1),(58,1),(68,1)}
        41:{1,4,5,7}:{(21,1),(23,1),(29,1),(59,1),(69,1),(70,1),(73,1),(154,1)}
        42:{2,4,6}:{(22,1),(25,1),(64,1),(68,1),(71,1),(72,1),(155,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(26,1),(31,1),(61,1),(69,1),(72,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(32,1),(62,1),(70,1),(73,1),(328,1)}
        45:{1,3,6}:{(25,1),(65,1),(71,1),(74,1),(75,1)}
        46:{2,3,7}:{(25,1),(26,1),(72,1),(75,1),(321,1)}
        47:{3,4,5}:{(28,1),(76,1),(77,1),(309,1),(366,1),(404,1)}
        48:{3,5,6}:{(27,1),(28,1),(76,1),(80,1),(84,1),(304,1),(366,1),(401,1)}
        49:{2,4,5,7}:{(27,1),(67,1),(80,1),(81,1),(150,1),(159,1),(253,1),(254,1),(305,1),(369,1),(403,1)}
        50:{2,3,5}:{(28,1),(30,1),(68,1),(77,1),(82,1),(366,1),(374,1),(377,1)}
        51:{3,5,7}:{(28,1),(29,1),(31,1),(84,1)}
        52:{2,4,6}:{(29,1),(70,1),(84,1),(85,1),(155,1),(172,1)}
        53:{1,3,4,6}:{(30,1),(71,1),(82,1),(86,1),(87,1),(144,1),(156,1),(158,1),(171,1),(237,1),(247,1),(250,1),(255,1),(328,1),(333,1),(375,1)}
        54:{2,3,4,7}:{(30,1),(31,1),(72,1),(83,1),(87,1),(159,1),(235,1),(238,1),(316,1),(367,1),(378,1)}
        55:{3,4,6,7}:{(31,1),(32,1),(84,1),(88,1),(172,1),(368,1),(370,1),(403,1)}
        56:{2,5,7}:{(32,1),(73,1),(85,1),(88,1),(374,1)}
        57:{2,4,5,6}:{(33,1),(39,1),(90,1),(91,1),(94,1),(104,1),(174,1),(204,1),(271,1),(272,1),(299,1),(300,1),(363,1),(364,1)}
        58:{3,5}:{(33,1),(34,1)}
        59:{2,4,5,7}:{(33,1),(35,1),(41,1),(93,1),(94,1),(98,1),(108,1),(189,1)}
        60:{2,3,4,6}:{(34,1),(42,1),(92,1),(95,1),(96,1),(99,1),(127,1),(174,1),(185,1),(190,1),(217,1),(293,1),(303,1),(352,1)}
        61:{3,4,7}:{(34,1),(35,1),(93,1),(294,1)}
        62:{2,4,6,7}:{(35,1),(36,1),(44,1),(94,1),(97,1),(98,1),(303,1)}
        63:{1,3,4,5}:{(37,1),(40,1),(47,1),(89,1),(100,1),(101,1),(116,1),(176,1),(191,1),(208,1),(268,1),(287,1),(354,1)}
        64:{2,4}:{(37,1),(38,1),(102,1)}
        65:{1,3,5}:{(38,1),(45,1),(102,1),(103,1),(107,1),(196,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(48,1),(90,1),(100,1),(104,1),(105,1),(109,1),(354,1),(397,1)}
        67:{1,4,5,7}:{(39,1),(49,1),(91,1),(105,1),(106,1),(198,1),(205,1),(265,1),(296,1),(341,1)}
        68:{2,5}:{(40,1),(42,1),(107,1)}
        69:{1,3,5,7}:{(40,1),(41,1),(43,1),(51,1),(93,1),(108,1),(109,1)}
        70:{1,4,6}:{(41,1),(52,1),(94,1),(109,1),(110,1),(202,1)}
        71:{1,4,6}:{(42,1),(45,1),(102,1),(107,1),(112,1),(202,1)}
        72:{2,4,7}:{(42,1),(43,1),(46,1),(108,1),(112,1)}
        73:{1,5,7}:{(44,1),(56,1),(98,1),(110,1),(358,1)}
        74:{1,2,6}:{(45,1),(103,1),(113,1),(282,1)}
        75:{1,3,7}:{(45,1),(46,1),(112,1),(113,1)}
        76:{3,4,6}:{(47,1),(48,1),(114,1),(115,1),(391,1)}
        77:{2,4,5}:{(47,1),(50,1),(114,1),(116,1),(277,1)}
        78:{3,4,5,7}:{(47,1),(51,1),(115,1),(117,1),(118,1),(129,1),(207,1),(342,1),(387,1),(390,1),(410,1)}
        79:{2,3,5,6}:{(48,1),(50,1),(104,1),(114,1),(119,1),(120,1),(125,1),(190,1),(211,1)}
        80:{3,5,7}:{(48,1),(49,1),(115,1),(121,1),(339,1)}
        81:{2,4,6,7}:{(49,1),(52,1),(106,1),(121,1),(122,1),(199,1),(216,1),(392,1)}
        82:{1,3,5}:{(50,1),(53,1),(107,1),(116,1),(123,1),(208,1),(358,1),(362,1),(394,1)}
        83:{2,3,5,7}:{(50,1),(51,1),(54,1),(108,1),(117,1),(124,1),(125,1),(387,1),(396,1)}
        84:{3,6}:{(51,1),(52,1)}
        85:{2,5,6}:{(52,1),(56,1),(110,1),(126,1)}
        86:{2,4,6}:{(53,1),(123,1),(127,1),(128,1),(192,1),(217,1),(219,1),(282,1)}
        87:{1,3,4,7}:{(53,1),(54,1),(112,1),(124,1),(128,1),(203,1),(205,1),(283,1),(291,1),(294,1),(297,1),(395,1)}
        88:{3,5,7}:{(55,1),(56,1),(126,1),(129,1),(390,1)}
        89:{3,4,5}:{(58,1),(130,1),(131,1),(255,1),(329,1),(385,1)}
        90:{3,5,6}:{(57,1),(58,1),(130,1),(134,1),(138,1),(250,1),(329,1),(382,1)}
        91:{2,4,5,7}:{(57,1),(67,1),(134,1),(135,1),(150,1),(221,1),(251,1),(307,1),(308,1),(332,1),(384,1)}
        92:{2,3,5}:{(58,1),(60,1),(68,1),(131,1),(136,1),(329,1),(337,1),(377,1)}
        93:{3,5,7}:{(58,1),(59,1),(61,1),(138,1)}
        94:{2,4,6}:{(59,1),(70,1),(138,1),(139,1),(155,1),(234,1)}
        95:{1,3,4,6}:{(60,1),(71,1),(136,1),(140,1),(141,1),(144,1),(156,1),(220,1),(233,1),(237,1),(247,1),(304,1),(309,1),(328,1),(370,1),(375,1)}
        96:{2,3,4,7}:{(60,1),(61,1),(72,1),(137,1),(141,1),(173,1),(221,1),(238,1),(262,1),(330,1),(378,1)}
        97:{3,4,6,7}:{(61,1),(62,1),(138,1),(142,1),(234,1),(331,1),(333,1),(384,1)}
        98:{2,5,7}:{(62,1),(73,1),(139,1),(142,1),(337,1)}
        99:{2,3,4}:{(64,1),(143,1),(144,1),(240,1),(255,1),(309,1),(322,1)}
       100:{1,3,4,6}:{(63,1),(66,1),(76,1),(130,1),(145,1),(146,1),(158,1),(220,1),(237,1),(250,1),(304,1)}
       101:{2,4,5}:{(63,1),(64,1),(68,1),(143,1),(145,1),(147,1),(239,1),(322,1),(377,1)}
       102:{1,4}:{(64,1),(65,1)}
       103:{1,2,5}:{(65,1),(74,1),(148,1),(239,1)}
       104:{2,5,6}:{(66,1),(68,1),(145,1),(149,1),(150,1),(155,1),(377,1),(407,1)}
       105:{1,3,5,7}:{(66,1),(67,1),(80,1),(134,1),(146,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(67,1),(70,1),(81,1),(135,1),(151,1),(152,1),(246,1),(380,1)}
       107:{1,5}:{(68,1),(71,1)}
       108:{2,5,7}:{(68,1),(69,1),(72,1),(154,1),(155,1)}
       109:{1,3,6}:{(69,1),(70,1),(84,1),(138,1),(155,1)}
       110:{1,5,6}:{(70,1),(73,1),(85,1),(139,1)}
       111:{1,2,4,6}:{(71,1),(74,1),(86,1),(140,1),(148,1),(153,1),(156,1),(157,1),(236,1),(247,1),(249,1),(318,1),(328,1),(375,1)}
       112:{1,4,7}:{(71,1),(72,1),(75,1),(154,1)}
       113:{1,2,7}:{(74,1),(75,1),(321,1)}
       114:{2,4,6}:{(76,1),(77,1),(79,1),(158,1),(159,1)}
       115:{3,4,7}:{(76,1),(80,1),(159,1),(403,1)}
       116:{1,4,5}:{(77,1),(82,1),(158,1),(161,1),(247,1),(385,1)}
       117:{2,4,5,7}:{(77,1),(78,1),(83,1),(159,1),(162,1),(163,1),(253,1),(316,1),(374,1)}
       118:{3,4,6}:{(78,1),(84,1),(163,1),(164,1),(172,1),(401,1),(412,1)}
       119:{1,3,5,6}:{(79,1),(82,1),(149,1),(158,1),(165,1),(166,1),(171,1),(237,1),(250,1),(258,1),(334,1)}
       120:{2,3,5,7}:{(79,1),(80,1),(150,1),(159,1),(166,1),(167,1),(238,1),(253,1)}
       121:{3,6,7}:{(80,1),(81,1),(84,1),(401,1)}
       122:{2,5,6,7}:{(81,1),(85,1),(152,1),(168,1),(253,1),(369,1),(405,1)}
       123:{2,5}:{(82,1),(86,1)}
       124:{1,3,5,7}:{(82,1),(83,1),(87,1),(154,1),(162,1),(170,1),(171,1),(256,1),(406,1)}
       125:{2,3,6}:{(83,1),(84,1),(155,1),(163,1),(171,1),(401,1),(407,1)}
       126:{3,5,6}:{(84,1),(85,1),(88,1),(172,1)}
       127:{2,3,6}:{(86,1),(156,1),(169,1),(173,1),(240,1),(250,1)}
       128:{2,4,7}:{(86,1),(87,1),(170,1),(173,1),(321,1)}
       129:{4,5,7}:{(88,1),(172,1),(403,1),(404,1)}
       130:{3,4,6}:{(89,1),(90,1),(174,1),(175,1),(363,1)}
       131:{2,4,5}:{(89,1),(92,1),(174,1),(176,1),(217,1)}
       132:{3,4,5,7}:{(89,1),(93,1),(175,1),(177,1),(178,1),(189,1),(267,1),(297,1),(359,1),(362,1),(400,1)}
       133:{2,3,5,6}:{(90,1),(92,1),(104,1),(174,1),(179,1),(180,1),(185,1),(190,1),(271,1)}
       134:{3,5,7}:{(90,1),(91,1),(175,1),(181,1),(294,1)}
       135:{2,4,6,7}:{(91,1),(94,1),(106,1),(181,1),(182,1),(199,1),(276,1),(364,1)}
       136:{1,3,5}:{(92,1),(95,1),(107,1),(176,1),(183,1),(268,1),(358,1),(390,1),(394,1)}
       137:{2,3,5,7}:{(92,1),(93,1),(96,1),(108,1),(177,1),(184,1),(185,1),(359,1),(396,1)}
       138:{3,6}:{(93,1),(94,1)}
       139:{2,5,6}:{(94,1),(98,1),(110,1),(186,1)}
       140:{2,4,6}:{(95,1),(183,1),(187,1),(188,1),(192,1),(277,1),(279,1),(282,1)}
       141:{1,3,4,7}:{(95,1),(96,1),(112,1),(184,1),(188,1),(203,1),(265,1),(283,1),(291,1),(339,1),(342,1),(395,1)}
       142:{3,5,7}:{(97,1),(98,1),(186,1),(189,1),(362,1)}
       143:{2,3,5}:{(99,1),(101,1),(190,1),(191,1),(208,1),(268,1)}
       144:{1,3,4}:{(99,1),(102,1),(191,1),(192,1),(196,1),(281,1),(351,1)}
       145:{2,4,6}:{(100,1),(101,1),(104,1),(190,1),(193,1),(194,1),(282,1)}
       146:{1,3,4,7}:{(100,1),(105,1),(115,1),(175,1),(194,1),(205,1),(265,1),(283,1),(294,1),(339,1)}
       147:{1,4,5}:{(101,1),(102,1),(107,1),(191,1),(193,1),(351,1),(394,1)}
       148:{1,2,4}:{(102,1),(103,1),(192,1),(196,1)}
       149:{1,5,6}:{(104,1),(107,1),(193,1),(198,1),(202,1),(394,1),(411,1)}
       150:{2,5,7}:{(104,1),(105,1),(194,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(109,1),(121,1),(181,1),(199,1),(397,1)}
       152:{1,5,6,7}:{(106,1),(110,1),(122,1),(182,1),(296,1),(341,1),(398,1)}
       153:{1,2,5}:{(107,1),(111,1),(123,1),(183,1),(200,1),(358,1),(394,1)}
       154:{1,5,7}:{(107,1),(108,1),(112,1),(202,1)}
       155:{2,6}:{(108,1),(109,1),(202,1)}
       156:{1,3,6}:{(111,1),(127,1),(187,1),(196,1),(200,1),(203,1),(281,1)}
       157:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(188,1),(201,1),(203,1),(291,1),(350,1),(395,1)}
       158:{1,4,6}:{(114,1),(116,1),(119,1),(204,1),(205,1),(363,1)}
       159:{2,4,7}:{(114,1),(115,1),(120,1),(205,1)}
       160:{3,4,6,7}:{(115,1),(118,1),(121,1),(206,1),(207,1),(216,1)}
       161:{2,4,5}:{(116,1),(123,1),(204,1),(208,1),(217,1)}
       162:{1,4,5,7}:{(116,1),(117,1),(124,1),(205,1),(209,1),(210,1),(291,1),(296,1),(358,1)}
       163:{2,4,6}:{(117,1),(118,1),(125,1),(210,1),(211,1)}
       164:{3,5,6}:{(118,1),(207,1),(211,1),(212,1),(390,1)}
       165:{2,5,6}:{(119,1),(123,1),(204,1),(214,1),(219,1),(282,1)}
       166:{1,3,5,7}:{(119,1),(120,1),(198,1),(205,1),(214,1),(215,1),(283,1),(294,1),(296,1),(361,1)}
       167:{2,3,6,7}:{(120,1),(121,1),(125,1),(199,1),(206,1),(215,1)}
       168:{3,5,6,7}:{(121,1),(122,1),(126,1),(207,1),(216,1),(389,1),(409,1)}
       169:{2,3,5}:{(123,1),(127,1),(200,1),(208,1),(217,1)}
       170:{2,5,7}:{(123,1),(124,1),(128,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(202,1),(210,1),(219,1),(298,1),(411,1)}
       172:{4,6}:{(126,1),(129,1)}
       173:{2,3,7}:{(127,1),(128,1),(203,1),(294,1)}
       174:{2,4,6}:{(130,1),(131,1),(133,1),(220,1),(221,1)}
       175:{3,4,7}:{(130,1),(134,1),(221,1),(384,1)}
       176:{1,4,5}:{(131,1),(136,1),(220,1),(223,1),(247,1),(404,1)}
       177:{2,4,5,7}:{(131,1),(132,1),(137,1),(221,1),(224,1),(225,1),(262,1),(307,1),(337,1)}
       178:{3,4,6}:{(132,1),(138,1),(225,1),(226,1),(234,1),(382,1),(408,1)}
       179:{1,3,5,6}:{(133,1),(136,1),(149,1),(220,1),(227,1),(228,1),(233,1),(237,1),(304,1),(312,1),(371,1)}
       180:{2,3,5,7}:{(133,1),(134,1),(150,1),(221,1),(228,1),(229,1),(238,1),(307,1)}
       181:{3,6,7}:{(134,1),(135,1),(138,1),(382,1)}
       182:{2,5,6,7}:{(135,1),(139,1),(152,1),(230,1),(307,1),(332,1),(386,1)}
       183:{2,5}:{(136,1),(140,1)}
       184:{1,3,5,7}:{(136,1),(137,1),(141,1),(154,1),(224,1),(232,1),(233,1),(310,1),(406,1)}
       185:{2,3,6}:{(137,1),(138,1),(155,1),(225,1),(233,1),(382,1),(407,1)}
       186:{3,5,6}:{(138,1),(139,1),(142,1),(234,1)}
       187:{2,3,6}:{(140,1),(156,1),(231,1),(235,1),(240,1),(304,1)}
       188:{2,4,7}:{(140,1),(141,1),(232,1),(235,1),(321,1)}
       189:{4,5,7}:{(142,1),(234,1),(384,1),(385,1)}
       190:{2,3,6}:{(143,1),(145,1),(237,1),(238,1),(250,1),(304,1)}
       191:{1,3,5}:{(143,1),(144,1),(147,1),(237,1),(239,1)}
       192:{2,4}:{(144,1),(239,1),(240,1)}
       193:{1,4,6}:{(145,1),(147,1),(149,1),(237,1),(242,1)}
       194:{2,4,7}:{(145,1),(146,1),(150,1),(238,1),(242,1),(321,1)}
       195:{1,2,4,5}:{(147,1),(148,1),(153,1),(161,1),(223,1),(239,1),(241,1),(243,1),(247,1),(322,1),(325,1),(377,1)}
       196:{1,3}:{(148,1),(240,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(165,1),(227,1),(241,1),(244,1),(245,1),(249,1),(318,1),(377,1),(407,1)}
       198:{1,5,7}:{(149,1),(150,1),(242,1),(246,1)}
       199:{2,6,7}:{(150,1),(151,1),(155,1),(246,1),(407,1)}
       200:{1,3,5}:{(153,1),(156,1),(169,1),(231,1),(247,1)}
       201:{1,2,5,7}:{(153,1),(154,1),(157,1),(170,1),(232,1),(248,1),(249,1),(406,1)}
       202:{1,6}:{(154,1),(155,1)}
       203:{1,3,7}:{(156,1),(157,1),(173,1),(235,1)}
       204:{2,4,6}:{(158,1),(161,1),(165,1),(250,1),(251,1)}
       205:{1,4,7}:{(158,1),(159,1),(166,1),(251,1),(384,1)}
       206:{2,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(252,1),(253,1)}
       207:{3,5,7}:{(160,1),(164,1),(253,1),(254,1)}
       208:{3,5}:{(161,1),(250,1),(255,1)}
       209:{2,4,5,7}:{(161,1),(162,1),(170,1),(251,1),(256,1),(257,1),(262,1),(332,1),(337,1),(384,1),(385,1)}
       210:{1,4,6}:{(162,1),(163,1),(171,1),(257,1),(258,1)}
       211:{2,5,6}:{(163,1),(164,1),(253,1),(258,1),(374,1)}
       212:{4,5,6}:{(164,1),(172,1),(254,1),(404,1),(412,1)}
       213:{2,3,5,6}:{(165,1),(169,1),(244,1),(250,1),(259,1),(260,1),(263,1),(320,1),(329,1),(334,1),(337,1),(377,1),(382,1),(386,1),(407,1)}
       214:{2,5,7}:{(165,1),(166,1),(251,1),(261,1),(321,1)}
       215:{1,3,6,7}:{(166,1),(167,1),(171,1),(246,1),(252,1),(261,1),(331,1)}
       216:{4,6,7}:{(168,1),(172,1),(254,1),(403,1),(412,1)}
       217:{2,4}:{(169,1),(247,1),(255,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(173,1),(248,1),(256,1),(262,1),(263,1),(337,1)}
       219:{2,6}:{(170,1),(171,1)}
       220:{1,4,6}:{(174,1),(176,1),(179,1),(264,1),(265,1),(391,1)}
       221:{2,4,7}:{(174,1),(175,1),(180,1),(265,1)}
       222:{3,4,6,7}:{(175,1),(178,1),(181,1),(266,1),(267,1),(276,1)}
       223:{2,4,5}:{(176,1),(183,1),(264,1),(268,1),(277,1)}
       224:{1,4,5,7}:{(176,1),(177,1),(184,1),(265,1),(269,1),(270,1),(291,1),(341,1),(358,1)}
       225:{2,4,6}:{(177,1),(178,1),(185,1),(270,1),(271,1)}
       226:{3,5,6}:{(178,1),(267,1),(271,1),(272,1),(362,1)}
       227:{2,5,6}:{(179,1),(183,1),(264,1),(274,1),(279,1),(282,1)}
       228:{1,3,5,7}:{(179,1),(180,1),(198,1),(265,1),(274,1),(275,1),(283,1),(339,1),(341,1),(389,1)}
       229:{2,3,6,7}:{(180,1),(181,1),(185,1),(199,1),(266,1),(275,1)}
       230:{3,5,6,7}:{(181,1),(182,1),(186,1),(267,1),(276,1),(361,1),(399,1)}
       231:{2,3,5}:{(183,1),(187,1),(200,1),(268,1),(277,1)}
       232:{2,5,7}:{(183,1),(184,1),(188,1),(279,1)}
       233:{1,3,6}:{(184,1),(185,1),(202,1),(270,1),(279,1),(343,1),(411,1)}
       234:{4,6}:{(186,1),(189,1)}
       235:{2,3,7}:{(187,1),(188,1),(203,1),(339,1)}
       236:{1,2,4}:{(192,1),(280,1),(281,1),(351,1)}
       237:{1,3,6}:{(190,1),(191,1),(193,1),(282,1),(283,1)}
       238:{2,3,7}:{(190,1),(194,1),(283,1),(294,1),(339,1)}
       239:{2,5}:{(191,1),(192,1),(282,1)}
       240:{2,3}:{(192,1),(196,1),(281,1)}
       241:{1,2,4,6}:{(193,1),(195,1),(197,1),(204,1),(264,1),(282,1),(285,1),(286,1),(288,1),(352,1)}
       242:{1,4,7}:{(193,1),(194,1),(198,1),(283,1)}
       243:{1,3,5}:{(195,1),(196,1),(208,1),(268,1),(284,1),(285,1),(287,1)}
       244:{1,3,5,6}:{(197,1),(200,1),(213,1),(273,1),(285,1),(288,1),(289,1),(292,1),(349,1),(354,1),(358,1),(394,1),(397,1),(398,1),(411,1)}
       245:{1,2,5,7}:{(197,1),(198,1),(214,1),(274,1),(286,1),(289,1),(290,1),(350,1),(396,1)}
       246:{1,6,7}:{(198,1),(199,1),(202,1),(411,1)}
       247:{1,4}:{(200,1),(217,1),(277,1)}
       248:{1,3,5,7}:{(200,1),(201,1),(203,1),(218,1),(278,1),(291,1),(292,1),(358,1)}
       249:{1,2,6}:{(201,1),(202,1),(219,1),(279,1),(292,1),(411,1)}
       250:{3,6}:{(204,1),(208,1),(294,1)}
       251:{2,4,7}:{(204,1),(205,1),(214,1),(294,1)}
       252:{1,4,6,7}:{(205,1),(206,1),(210,1),(215,1),(295,1),(296,1)}
       253:{2,5,7}:{(206,1),(207,1),(211,1),(296,1)}
       254:{4,5,7}:{(207,1),(212,1),(216,1)}
       255:{3,4}:{(208,1),(217,1)}
       256:{3,5,7}:{(208,1),(209,1),(294,1),(297,1),(298,1),(362,1)}
       257:{2,4,6}:{(209,1),(210,1),(219,1),(298,1),(299,1),(363,1)}
       258:{1,5,6}:{(210,1),(211,1),(296,1),(299,1),(358,1)}
       259:{2,4,6}:{(213,1),(217,1),(288,1),(293,1),(300,1),(301,1),(363,1)}
       260:{2,3,5,7}:{(213,1),(214,1),(289,1),(294,1),(301,1),(302,1),(353,1),(359,1),(361,1),(365,1),(396,1)}
       261:{2,6,7}:{(214,1),(215,1),(219,1)}
       262:{2,4,7}:{(217,1),(218,1),(291,1),(297,1),(303,1)}
       263:{2,3,6}:{(218,1),(219,1),(292,1),(298,1),(303,1)}
       264:{2,4,6}:{(220,1),(223,1),(227,1),(304,1),(305,1)}
       265:{1,4,7}:{(220,1),(221,1),(228,1),(305,1),(403,1)}
       266:{2,4,6,7}:{(221,1),(222,1),(225,1),(229,1),(306,1),(307,1)}
       267:{3,5,7}:{(222,1),(226,1),(307,1),(308,1)}
       268:{3,5}:{(223,1),(304,1),(309,1)}
       269:{2,4,5,7}:{(223,1),(224,1),(232,1),(305,1),(310,1),(311,1),(316,1),(369,1),(374,1),(403,1),(404,1)}
       270:{1,4,6}:{(224,1),(225,1),(233,1),(311,1),(312,1)}
       271:{2,5,6}:{(225,1),(226,1),(307,1),(312,1),(337,1)}
       272:{4,5,6}:{(226,1),(234,1),(308,1),(385,1),(408,1)}
       273:{2,3,5,6}:{(227,1),(231,1),(244,1),(304,1),(313,1),(314,1),(317,1),(320,1),(366,1),(371,1),(374,1),(377,1),(401,1),(405,1),(407,1)}
       274:{2,5,7}:{(227,1),(228,1),(305,1),(315,1),(321,1)}
       275:{1,3,6,7}:{(228,1),(229,1),(233,1),(246,1),(306,1),(315,1),(368,1)}
       276:{4,6,7}:{(230,1),(234,1),(308,1),(384,1),(408,1)}
       277:{2,4}:{(231,1),(247,1),(309,1)}
       278:{2,3,5,7}:{(231,1),(232,1),(235,1),(248,1),(310,1),(316,1),(317,1),(374,1)}
       279:{2,6}:{(232,1),(233,1)}
       280:{1,2,5}:{(236,1),(239,1),(318,1),(319,1)}
       281:{1,3}:{(236,1),(240,1)}
       282:{2,6}:{(237,1),(239,1),(321,1)}
       283:{1,3,7}:{(237,1),(238,1),(242,1),(321,1)}
       284:{2,3,5}:{(239,1),(240,1),(243,1),(319,1),(320,1),(322,1),(377,1)}
       285:{1,3,6}:{(241,1),(243,1),(250,1),(304,1),(320,1),(324,1)}
       286:{1,2,4,7}:{(241,1),(242,1),(245,1),(251,1),(305,1),(321,1),(324,1),(326,1),(378,1)}
       287:{1,3,4}:{(243,1),(247,1),(255,1),(309,1),(322,1)}
       288:{1,4,6}:{(244,1),(247,1),(259,1),(313,1),(325,1),(326,1)}
       289:{1,3,5,7}:{(244,1),(245,1),(260,1),(314,1),(324,1),(326,1),(327,1),(376,1),(381,1),(406,1)}
       290:{1,2,6,7}:{(245,1),(246,1),(249,1),(261,1),(315,1),(327,1),(407,1)}
       291:{1,4,7}:{(247,1),(248,1),(262,1),(316,1),(328,1)}
       292:{1,3,6}:{(248,1),(249,1),(263,1),(317,1),(328,1)}
       293:{3,4,6}:{(250,1),(255,1),(259,1),(329,1),(330,1),(382,1)}
       294:{3,7}:{(250,1),(251,1)}
       295:{2,4,6,7}:{(251,1),(252,1),(257,1),(261,1),(331,1),(332,1),(384,1)}
       296:{1,5,7}:{(252,1),(253,1),(258,1),(332,1)}
       297:{3,4,7}:{(255,1),(256,1),(262,1),(333,1),(384,1)}
       298:{3,6}:{(256,1),(257,1)}
       299:{2,5,6}:{(257,1),(258,1),(332,1),(334,1),(337,1)}
       300:{2,4,5}:{(259,1),(325,1),(329,1),(337,1),(377,1),(385,1)}
       301:{2,4,7}:{(259,1),(260,1),(326,1),(330,1),(384,1)}
       302:{2,3,6,7}:{(260,1),(261,1),(263,1),(327,1),(331,1),(336,1),(382,1),(407,1)}
       303:{2,4,6}:{(262,1),(263,1),(328,1),(333,1),(337,1)}
       304:{3,6}:{(264,1),(268,1),(339,1)}
       305:{2,4,7}:{(264,1),(265,1),(274,1),(339,1)}
       306:{1,4,6,7}:{(265,1),(266,1),(270,1),(275,1),(340,1),(341,1)}
       307:{2,5,7}:{(266,1),(267,1),(271,1),(341,1)}
       308:{4,5,7}:{(267,1),(272,1),(276,1)}
       309:{3,4}:{(268,1),(277,1)}
       310:{3,5,7}:{(268,1),(269,1),(339,1),(342,1),(343,1),(390,1)}
       311:{2,4,6}:{(269,1),(270,1),(279,1),(343,1),(344,1),(391,1)}
       312:{1,5,6}:{(270,1),(271,1),(341,1),(344,1),(358,1)}
       313:{2,4,6}:{(273,1),(277,1),(288,1),(338,1),(345,1),(346,1),(391,1)}
       314:{2,3,5,7}:{(273,1),(274,1),(289,1),(339,1),(346,1),(347,1),(353,1),(387,1),(389,1),(393,1),(396,1)}
       315:{2,6,7}:{(274,1),(275,1),(279,1)}
       316:{2,4,7}:{(277,1),(278,1),(291,1),(342,1),(348,1)}
       317:{2,3,6}:{(278,1),(279,1),(292,1),(343,1),(348,1)}
       318:{1,2,6}:{(280,1),(282,1),(349,1),(350,1)}
       319:{1,3,5}:{(280,1),(281,1),(284,1),(349,1),(351,1),(394,1)}
       320:{2,3,6}:{(282,1),(284,1),(285,1),(349,1),(352,1),(353,1)}
       321:{2,7}:{(282,1),(283,1)}
       322:{2,4}:{(284,1),(287,1),(351,1)}
       323:{1,3,4,6}:{(285,1),(287,1),(288,1),(293,1),(338,1),(352,1),(354,1),(355,1),(397,1)}
       324:{1,3,7}:{(285,1),(286,1),(294,1),(339,1),(353,1)}
       325:{1,4,5}:{(288,1),(300,1),(345,1),(354,1),(358,1),(394,1)}
       326:{1,4,7}:{(288,1),(289,1),(301,1),(346,1)}
       327:{1,3,6,7}:{(289,1),(290,1),(292,1),(302,1),(347,1),(357,1),(397,1),(411,1)}
       328:{1,4,6}:{(291,1),(292,1),(303,1),(348,1),(358,1)}
       329:{3,5}:{(293,1),(300,1)}
       330:{3,4,7}:{(293,1),(294,1),(301,1),(359,1)}
       331:{3,6,7}:{(294,1),(295,1),(298,1),(361,1)}
       332:{2,5,7}:{(295,1),(296,1),(299,1),(361,1)}
       333:{3,4,6}:{(297,1),(298,1),(303,1),(362,1),(363,1)}
       334:{3,5,6}:{(298,1),(299,1),(361,1),(362,1),(363,1)}
       335:{2,4,5,7}:{(300,1),(301,1),(356,1),(359,1),(364,1),(365,1),(396,1),(400,1)}
       336:{2,4,6,7}:{(301,1),(302,1),(303,1),(357,1),(360,1),(364,1),(365,1)}
       337:{2,5}:{(303,1),(358,1),(362,1)}
       338:{3,4,6}:{(304,1),(309,1),(313,1),(366,1),(367,1),(401,1)}
       339:{3,7}:{(304,1),(305,1)}
       340:{2,4,6,7}:{(305,1),(306,1),(311,1),(315,1),(368,1),(369,1),(403,1)}
       341:{1,5,7}:{(306,1),(307,1),(312,1),(369,1)}
       342:{3,4,7}:{(309,1),(310,1),(316,1),(370,1),(403,1)}
       343:{3,6}:{(310,1),(311,1)}
       344:{2,5,6}:{(311,1),(312,1),(369,1),(371,1),(374,1)}
       345:{2,4,5}:{(313,1),(325,1),(366,1),(374,1),(377,1),(404,1)}
       346:{2,4,7}:{(313,1),(314,1),(326,1),(367,1),(403,1)}
       347:{2,3,6,7}:{(314,1),(315,1),(317,1),(327,1),(368,1),(373,1),(401,1),(407,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(370,1),(374,1)}
       349:{1,3,6}:{(318,1),(319,1),(320,1),(375,1),(376,1)}
       350:{1,2,7}:{(318,1),(321,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,4,6}:{(320,1),(322,1),(323,1),(375,1),(377,1),(378,1),(407,1)}
       353:{2,3,7}:{(320,1),(321,1),(324,1),(376,1),(378,1)}
       354:{1,3,5}:{(323,1),(325,1),(329,1),(366,1),(377,1)}
       355:{1,3,4,7}:{(323,1),(324,1),(326,1),(330,1),(367,1),(378,1),(379,1)}
       356:{1,4,5,7}:{(325,1),(326,1),(335,1),(372,1),(379,1),(380,1),(381,1),(406,1)}
       357:{1,4,6,7}:{(326,1),(327,1),(328,1),(336,1),(373,1),(380,1),(381,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(335,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(334,1),(384,1)}
       362:{3,5}:{(333,1),(337,1),(385,1)}
       363:{4,6}:{(334,1),(384,1),(385,1)}
       364:{2,4,6}:{(335,1),(380,1),(382,1),(386,1),(407,1),(408,1)}
       365:{2,5,7}:{(336,1),(337,1),(381,1),(383,1),(386,1)}
       366:{3,5}:{(338,1),(345,1)}
       367:{3,4,7}:{(338,1),(339,1),(346,1),(387,1)}
       368:{3,6,7}:{(339,1),(340,1),(343,1),(389,1)}
       369:{2,5,7}:{(340,1),(341,1),(344,1),(389,1)}
       370:{3,4,6}:{(342,1),(343,1),(348,1),(390,1),(391,1)}
       371:{3,5,6}:{(343,1),(344,1),(389,1),(390,1),(391,1)}
       372:{2,4,5,7}:{(345,1),(346,1),(356,1),(387,1),(392,1),(393,1),(396,1),(410,1)}
       373:{2,4,6,7}:{(346,1),(347,1),(348,1),(357,1),(388,1),(392,1),(393,1)}
       374:{2,5}:{(348,1),(358,1),(390,1)}
       375:{1,4,6}:{(349,1),(351,1),(352,1),(394,1),(395,1),(411,1)}
       376:{1,3,7}:{(349,1),(350,1),(353,1),(395,1)}
       377:{2,5}:{(352,1),(354,1),(394,1)}
       378:{2,4,7}:{(352,1),(353,1),(355,1),(395,1),(396,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(356,1),(359,1),(387,1),(396,1),(397,1)}
       380:{1,4,6}:{(356,1),(364,1),(392,1),(397,1),(398,1),(411,1)}
       381:{1,5,7}:{(357,1),(358,1),(365,1),(393,1),(398,1)}
       382:{3,6}:{(359,1),(364,1)}
       383:{3,5,7}:{(360,1),(362,1),(365,1),(399,1),(400,1)}
       384:{4,7}:{(361,1),(363,1)}
       385:{4,5}:{(362,1),(363,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(399,1)}
       387:{3,5,7}:{(366,1),(367,1),(372,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(370,1),(373,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(371,1),(403,1)}
       390:{3,5}:{(370,1),(374,1),(404,1)}
       391:{4,6}:{(371,1),(403,1),(404,1)}
       392:{2,4,6}:{(372,1),(380,1),(401,1),(405,1),(407,1),(412,1)}
       393:{2,5,7}:{(373,1),(374,1),(381,1),(402,1),(405,1)}
       394:{1,5}:{(375,1),(377,1)}
       395:{1,4,7}:{(375,1),(376,1),(378,1),(406,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(380,1),(382,1),(401,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{3,5,6}:{(382,1),(383,1),(386,1),(408,1)}
       400:{4,5,7}:{(383,1),(384,1),(385,1),(408,1)}
       401:{3,6}:{(387,1),(392,1)}
       402:{3,5,7}:{(388,1),(390,1),(393,1),(409,1),(410,1)}
       403:{4,7}:{(389,1),(391,1)}
       404:{4,5}:{(390,1),(391,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(409,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{3,5,6}:{(401,1),(402,1),(405,1),(412,1)}
       410:{4,5,7}:{(402,1),(403,1),(404,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

 947 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 948 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

 949 :   0:{1,2,5}:{(2,1),(3,1),(4,1),(18,1),(51,1)}
         1:{2,3,5}:{(4,1),(5,1),(6,1),(19,1),(25,1),(27,1),(51,1)}
         2:{1,2,4}:{(0,1),(8,1),(11,1),(34,1)}
         3:{1,2,6}:{(0,1),(9,1),(10,1),(69,1)}
         4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(33,1),(37,1),(68,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(41,1),(69,1)}
         6:{2,4}:{(1,1),(11,1),(12,1)}
         7:{2,3,5}:{(4,1),(16,1),(17,1),(19,1),(46,1),(48,1),(51,1)}
         8:{1,3}:{(2,1),(19,1)}
         9:{1,2,7}:{(3,1),(21,1),(85,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(84,1)}
        11:{1,4}:{(4,1),(6,1),(17,1)}
        12:{3,4}:{(6,1),(25,1)}
        13:{2,3,7}:{(5,1),(21,1),(26,1),(59,1),(85,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(27,1),(60,1)}
        15:{2,4,5}:{(6,1),(23,1),(25,1),(27,1),(28,1),(51,1),(56,1)}
        16:{2,3,6}:{(7,1),(10,1),(30,1),(31,1),(64,1),(69,1)}
        17:{2,4}:{(7,1),(11,1),(29,1)}
        18:{1,2}:{(33,1)}
        19:{2,3}:{(8,1),(33,1),(34,1)}
        20:{1,3,4}:{(8,1),(11,1),(12,1),(29,1),(34,1),(35,1)}
        21:{1,3,7}:{(9,1),(10,1),(13,1),(30,1),(36,1),(95,1)}
        22:{1,4,6}:{(10,1),(11,1),(14,1),(31,1),(36,1),(37,1),(71,1)}
        23:{1,4,5}:{(11,1),(15,1),(32,1),(35,1),(37,1),(38,1),(68,1)}
        24:{3,4,6}:{(12,1),(14,1),(39,1),(40,1),(41,1),(74,1),(75,1)}
        25:{3,5}:{(12,1),(15,1),(41,1)}
        26:{2,4,7}:{(13,1),(14,1),(36,1),(39,1),(42,1)}
        27:{2,5}:{(14,1),(37,1),(40,1)}
        28:{2,4,6}:{(15,1),(38,1),(41,1),(43,1),(44,1),(69,1),(74,1)}
        29:{3,4}:{(17,1),(46,1)}
        30:{2,3,7}:{(16,1),(21,1),(47,1),(81,1),(85,1)}
        31:{2,4,6}:{(16,1),(17,1),(22,1),(45,1),(47,1),(48,1),(82,1)}
        32:{2,4,5}:{(17,1),(23,1),(46,1),(48,1),(49,1),(51,1),(78,1)}
        33:{1,3}:{(18,1),(19,1),(50,1)}
        34:{2,4}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,5}:{(20,1),(23,1),(25,1),(46,1),(51,1),(52,1)}
        36:{1,4,7}:{(21,1),(22,1),(26,1),(47,1),(53,1)}
        37:{1,5}:{(22,1),(27,1),(48,1)}
        38:{1,4,6}:{(23,1),(28,1),(49,1),(52,1),(54,1),(55,1),(84,1)}
        39:{3,4,7}:{(24,1),(26,1),(57,1),(59,1),(88,1)}
        40:{3,5}:{(24,1),(27,1),(56,1)}
        41:{3,6}:{(25,1),(28,1),(59,1)}
        42:{2,5,7}:{(26,1),(27,1),(53,1),(57,1),(60,1)}
        43:{2,5,6}:{(27,1),(28,1),(54,1),(58,1),(60,1),(61,1)}
        44:{2,4,7}:{(28,1),(55,1),(59,1),(61,1),(85,1),(88,1)}
        45:{3,4,6}:{(29,1),(31,1),(62,1),(63,1),(64,1),(91,1),(92,1)}
        46:{3,5}:{(29,1),(32,1),(64,1)}
        47:{2,4,7}:{(30,1),(31,1),(36,1),(62,1),(65,1)}
        48:{2,5}:{(31,1),(37,1),(63,1)}
        49:{2,4,6}:{(32,1),(38,1),(64,1),(66,1),(67,1),(69,1),(91,1)}
        50:{1,4}:{(33,1),(34,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(68,1),(69,1)}
        52:{1,3,6}:{(35,1),(38,1),(41,1),(64,1),(69,1),(70,1)}
        53:{1,5,7}:{(36,1),(37,1),(42,1),(65,1),(71,1)}
        54:{1,5,6}:{(37,1),(38,1),(43,1),(66,1),(71,1),(72,1)}
        55:{1,4,7}:{(38,1),(44,1),(67,1),(70,1),(72,1),(95,1)}
        56:{4,5}:{(40,1),(74,1)}
        57:{3,5,7}:{(39,1),(40,1),(42,1),(73,1),(75,1)}
        58:{3,5,6}:{(40,1),(41,1),(43,1),(74,1),(75,1),(76,1),(96,1)}
        59:{3,7}:{(41,1),(44,1)}
        60:{2,6}:{(42,1),(71,1),(75,1)}
        61:{2,5,7}:{(43,1),(44,1),(72,1),(76,1),(77,1)}
        62:{3,4,7}:{(45,1),(47,1),(79,1),(81,1),(99,1)}
        63:{3,5}:{(45,1),(48,1),(78,1)}
        64:{3,6}:{(46,1),(49,1),(81,1)}
        65:{2,5,7}:{(47,1),(48,1),(53,1),(79,1),(82,1)}
        66:{2,5,6}:{(48,1),(49,1),(54,1),(80,1),(82,1),(83,1)}
        67:{2,4,7}:{(49,1),(55,1),(81,1),(83,1),(85,1),(99,1)}
        68:{1,5}:{(50,1),(51,1),(84,1)}
        69:{2,6}:{(51,1),(52,1),(84,1),(85,1)}
        70:{1,3,7}:{(52,1),(55,1),(59,1),(81,1),(85,1)}
        71:{1,6}:{(53,1),(60,1),(82,1)}
        72:{1,5,7}:{(54,1),(55,1),(61,1),(83,1),(86,1)}
        73:{4,5,7}:{(56,1),(57,1),(87,1),(88,1),(101,1)}
        74:{4,6}:{(56,1),(58,1),(88,1)}
        75:{3,6}:{(57,1),(60,1),(87,1)}
        76:{3,5,7}:{(58,1),(59,1),(61,1),(88,1),(89,1),(101,1)}
        77:{2,6,7}:{(60,1),(61,1),(86,1),(89,1)}
        78:{4,5}:{(63,1),(91,1)}
        79:{3,5,7}:{(62,1),(63,1),(65,1),(90,1),(92,1)}
        80:{3,5,6}:{(63,1),(64,1),(66,1),(91,1),(92,1),(93,1),(102,1)}
        81:{3,7}:{(64,1),(67,1)}
        82:{2,6}:{(65,1),(71,1),(92,1)}
        83:{2,5,7}:{(66,1),(67,1),(72,1),(93,1),(94,1)}
        84:{1,6}:{(68,1),(69,1),(95,1)}
        85:{2,7}:{(69,1),(70,1),(95,1)}
        86:{1,6,7}:{(71,1),(72,1),(77,1),(94,1)}
        87:{4,6}:{(73,1),(75,1),(96,1)}
        88:{4,7}:{(74,1),(76,1)}
        89:{3,6,7}:{(75,1),(76,1),(77,1),(97,1)}
        90:{4,5,7}:{(78,1),(79,1),(98,1),(99,1),(104,1)}
        91:{4,6}:{(78,1),(80,1),(99,1)}
        92:{3,6}:{(79,1),(82,1),(98,1)}
        93:{3,5,7}:{(80,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        94:{2,6,7}:{(82,1),(83,1),(86,1),(100,1)}
        95:{1,7}:{(84,1),(85,1)}
        96:{5,6}:{(87,1),(101,1)}
        97:{4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        98:{4,6}:{(90,1),(92,1),(102,1)}
        99:{4,7}:{(91,1),(93,1)}
       100:{3,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{5,7}:{(96,1),(97,1)}
       102:{5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 950 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

 951 :   0:{1,2,6,7}:{(3,1),(4,1),(125,1),(207,1),(210,1),(220,1),(278,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(69,1),(125,1),(278,1),(281,1),(341,1)}
         2:{3,4,6,7}:{(5,1),(7,1),(28,1),(30,1),(69,1),(341,1),(343,1),(386,1)}
         3:{1,3,6,7}:{(0,1),(1,1),(8,1),(9,1),(10,1),(89,1),(166,1),(252,1)}
         4:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(90,1),(97,1),(247,1),(260,1),(314,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(9,1),(13,1),(15,1),(44,1),(318,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(42,1),(45,1),(90,1),(314,1),(366,1),(370,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(369,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(19,1),(117,1),(125,1),(220,1),(223,1),(228,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(18,1),(20,1),(22,1),(59,1),(292,1)}
        10:{1,3,5,7}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(22,1),(24,1),(66,1),(126,1)}
        11:{1,2,5,6}:{(4,1),(21,1),(23,1),(125,1),(128,1),(133,1),(209,1),(210,1),(214,1),(222,1),(280,1)}
        12:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(286,1),(298,1),(344,1),(351,1)}
        13:{2,5,7}:{(5,1),(7,1),(20,1),(25,1),(349,1)}
        14:{2,3,5,6}:{(6,1),(21,1),(25,1),(27,1),(65,1),(69,1),(71,1),(125,1),(128,1),(280,1),(281,1),(284,1),(342,1),(347,1),(349,1)}
        15:{2,4,7}:{(6,1),(22,1),(27,1),(28,1),(386,1)}
        16:{3,5,6}:{(7,1),(25,1),(30,1),(69,1)}
        17:{4,5,7}:{(7,1),(30,1),(386,1),(388,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(35,1),(82,1),(264,1)}
        19:{2,3,5,7}:{(8,1),(10,1),(33,1),(34,1),(35,1),(42,1),(83,1),(90,1),(260,1),(267,1),(333,1)}
        20:{1,5,7}:{(9,1),(13,1),(33,1),(36,1),(328,1)}
        21:{1,3,5,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(38,1),(41,1),(89,1),(91,1),(96,1),(166,1),(169,1),(252,1),(256,1),(328,1)}
        22:{1,4,7}:{(10,1),(15,1),(35,1),(38,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(92,1),(250,1),(262,1),(316,1),(325,1)}
        24:{1,3,7}:{(12,1),(41,1),(42,1),(333,1),(370,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(44,1),(45,1),(46,1),(90,1)}
        27:{2,4,6}:{(14,1),(15,1),(38,1),(46,1),(47,1),(320,1),(368,1)}
        28:{3,4,7}:{(15,1),(45,1),(47,1),(370,1)}
        29:{3,5,6,7}:{(16,1),(43,1),(49,1),(99,1),(107,1),(366,1),(401,1)}
        30:{4,6}:{(16,1),(17,1)}
        31:{3,4,5,7}:{(17,1),(45,1),(51,1),(52,1),(103,1),(107,1),(175,1),(312,1),(369,1),(400,1),(402,1)}
        32:{3,4,6,7}:{(18,1),(53,1),(57,1),(113,1),(117,1),(228,1),(230,1),(305,1)}
        33:{2,5,7}:{(18,1),(20,1),(53,1),(54,1),(303,1)}
        34:{2,3,5,6}:{(19,1),(21,1),(54,1),(56,1),(65,1),(117,1),(119,1),(125,1),(128,1),(222,1),(223,1),(226,1),(229,1),(301,1),(303,1)}
        35:{2,4,7}:{(19,1),(22,1),(56,1),(57,1),(305,1)}
        36:{1,5,6}:{(20,1),(25,1),(54,1),(59,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(26,1),(55,1),(59,1),(60,1),(61,1),(126,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(56,1),(61,1),(295,1)}
        39:{1,3,4,7}:{(22,1),(24,1),(28,1),(57,1),(60,1),(62,1),(63,1)}
        40:{1,2,4,5}:{(23,1),(61,1),(64,1),(128,1),(131,1),(213,1),(214,1),(225,1),(283,1),(293,1),(295,1),(296,1)}
        41:{1,3,6}:{(23,1),(24,1),(64,1),(65,1),(301,1),(347,1)}
        42:{2,3,7}:{(24,1),(63,1),(65,1),(66,1),(351,1)}
        43:{2,5,6,7}:{(25,1),(29,1),(58,1),(67,1),(144,1),(340,1),(391,1)}
        44:{2,4,6}:{(25,1),(26,1),(30,1),(59,1),(69,1),(125,1)}
        45:{3,5,7}:{(26,1),(28,1),(69,1),(71,1)}
        46:{2,4,5}:{(27,1),(61,1),(71,1),(128,1),(349,1),(388,1)}
        47:{3,4,6}:{(27,1),(28,1),(69,1),(71,1),(347,1),(350,1)}
        48:{2,3,4,7}:{(28,1),(63,1),(70,1),(72,1),(73,1),(204,1),(218,1),(282,1),(285,1),(389,1),(394,1)}
        49:{4,6,7}:{(29,1),(30,1),(74,1),(386,1),(408,1)}
        50:{4,5,6}:{(30,1),(74,1),(76,1),(388,1),(408,1)}
        51:{3,4,6}:{(30,1),(31,1),(69,1),(76,1),(77,1),(408,1),(409,1)}
        52:{2,4,5,7}:{(31,1),(70,1),(77,1),(78,1),(140,1),(144,1),(218,1),(282,1),(349,1)}
        53:{3,5,7}:{(32,1),(33,1),(79,1),(80,1),(270,1)}
        54:{2,5,6}:{(33,1),(36,1),(79,1),(82,1)}
        55:{2,4,5,7}:{(33,1),(35,1),(37,1),(80,1),(82,1),(83,1),(84,1),(90,1)}
        56:{2,4,6}:{(34,1),(35,1),(38,1),(84,1),(85,1),(266,1),(269,1)}
        57:{3,4,7}:{(35,1),(83,1),(85,1),(333,1)}
        58:{1,5,6,7}:{(36,1),(43,1),(81,1),(87,1),(185,1),(308,1),(379,1)}
        59:{1,4,6}:{(36,1),(37,1),(44,1),(82,1),(89,1),(166,1)}
        60:{1,3,5,7}:{(37,1),(39,1),(45,1),(83,1),(89,1),(90,1),(91,1)}
        61:{1,4,5}:{(38,1),(46,1),(84,1),(91,1),(169,1),(328,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(41,1),(47,1),(85,1),(89,1),(91,1),(92,1),(94,1)}
        63:{2,4,7}:{(39,1),(42,1),(90,1),(92,1),(93,1)}
        64:{1,3,5}:{(40,1),(41,1),(94,1),(95,1),(265,1),(319,1),(332,1)}
        65:{2,3,6}:{(41,1),(42,1),(92,1),(95,1),(96,1),(325,1)}
        66:{1,3,7}:{(42,1),(93,1),(96,1),(97,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(49,1),(87,1),(98,1),(99,1),(163,1),(403,1)}
        68:{2,4,5,6}:{(44,1),(46,1),(50,1),(88,1),(98,1),(100,1),(109,1),(165,1),(178,1),(310,1),(316,1),(368,1),(374,1),(403,1)}
        69:{3,6}:{(44,1),(45,1)}
        70:{2,3,5,7}:{(45,1),(48,1),(52,1),(90,1),(101,1),(102,1),(104,1),(402,1),(405,1)}
        71:{3,5}:{(46,1),(47,1)}
        72:{2,3,4,6}:{(47,1),(48,1),(92,1),(101,1),(104,1),(105,1),(172,1),(178,1),(245,1),(249,1),(318,1),(320,1),(373,1),(381,1)}
        73:{1,3,4,7}:{(48,1),(93,1),(102,1),(105,1),(106,1),(171,1),(189,1),(253,1),(259,1),(321,1),(333,1),(404,1)}
        74:{4,5,7}:{(49,1),(50,1),(107,1)}
        75:{3,4,6,7}:{(49,1),(51,1),(99,1),(107,1),(108,1),(175,1)}
        76:{3,5,6}:{(50,1),(51,1),(107,1),(109,1),(369,1)}
        77:{2,4,6}:{(51,1),(52,1),(101,1),(109,1),(110,1)}
        78:{1,4,5,7}:{(52,1),(102,1),(110,1),(111,1),(182,1),(185,1),(253,1),(259,1),(328,1)}
        79:{3,5,6}:{(53,1),(54,1),(113,1),(117,1)}
        80:{4,5,7}:{(53,1),(113,1),(305,1),(307,1)}
        81:{2,5,6,7}:{(54,1),(58,1),(112,1),(115,1),(227,1),(271,1),(363,1)}
        82:{2,4,6}:{(54,1),(55,1),(59,1),(113,1),(117,1),(125,1)}
        83:{3,5,7}:{(55,1),(57,1),(117,1),(119,1)}
        84:{2,4,5}:{(56,1),(61,1),(119,1),(128,1),(303,1),(307,1)}
        85:{3,4,6}:{(56,1),(57,1),(117,1),(119,1),(301,1),(304,1)}
        86:{2,3,4,7}:{(57,1),(63,1),(118,1),(120,1),(121,1),(143,1),(224,1),(276,1),(285,1),(361,1),(394,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(67,1),(115,1),(122,1),(123,1),(207,1),(396,1)}
        88:{1,4,5,6}:{(59,1),(61,1),(68,1),(116,1),(122,1),(124,1),(146,1),(209,1),(221,1),(273,1),(279,1),(358,1),(396,1)}
        89:{1,3,6}:{(59,1),(60,1),(69,1),(117,1),(125,1)}
        90:{2,5,7}:{(60,1),(63,1),(125,1),(126,1),(128,1)}
        91:{1,3,5}:{(61,1),(62,1),(71,1),(119,1),(128,1)}
        92:{2,4,6}:{(62,1),(63,1),(65,1),(125,1),(128,1),(129,1),(131,1)}
        93:{1,4,7}:{(63,1),(66,1),(126,1),(129,1)}
        94:{1,3,4}:{(64,1),(131,1),(295,1),(304,1),(350,1)}
        95:{2,3,5}:{(64,1),(65,1),(128,1),(131,1),(132,1),(293,1),(297,1)}
        96:{1,3,6}:{(65,1),(66,1),(129,1),(132,1),(133,1)}
        97:{1,2,7}:{(66,1),(133,1),(351,1)}
        98:{2,4,5,7}:{(67,1),(68,1),(74,1),(122,1),(134,1),(144,1),(206,1),(218,1),(340,1),(344,1),(386,1)}
        99:{3,6,7}:{(67,1),(69,1),(134,1),(409,1)}
       100:{3,5,6}:{(68,1),(69,1),(71,1),(134,1),(136,1),(347,1),(392,1),(409,1)}
       101:{2,3,6}:{(69,1),(70,1),(77,1),(125,1),(138,1),(409,1),(411,1)}
       102:{1,3,5,7}:{(70,1),(73,1),(78,1),(126,1),(138,1),(139,1),(141,1),(148,1),(410,1)}
       103:{3,4,5}:{(71,1),(136,1),(140,1),(350,1),(388,1),(392,1)}
       104:{2,3,5}:{(71,1),(72,1),(128,1),(140,1),(141,1),(349,1),(392,1),(398,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(129,1),(138,1),(141,1),(142,1),(215,1),(216,1),(221,1),(230,1),(289,1),(292,1),(295,1),(301,1),(304,1),(397,1)}
       106:{2,4,7}:{(73,1),(139,1),(142,1),(143,1),(351,1)}
       107:{3,5,7}:{(74,1),(75,1),(76,1),(144,1)}
       108:{2,4,6,7}:{(75,1),(77,1),(135,1),(144,1),(145,1),(218,1)}
       109:{2,5,6}:{(76,1),(77,1),(144,1),(146,1),(349,1)}
       110:{1,4,6}:{(77,1),(78,1),(138,1),(146,1),(147,1)}
       111:{2,4,5,7}:{(78,1),(139,1),(147,1),(148,1),(224,1),(225,1),(227,1),(298,1),(303,1),(305,1),(307,1)}
       112:{3,5,6,7}:{(79,1),(81,1),(149,1),(154,1),(231,1),(267,1),(339,1)}
       113:{4,6}:{(79,1),(80,1)}
       114:{3,4,5,7}:{(80,1),(83,1),(151,1),(152,1),(158,1),(189,1),(231,1),(236,1),(270,1),(338,1),(384,1)}
       115:{2,4,6,7}:{(81,1),(82,1),(87,1),(149,1),(153,1),(154,1),(163,1),(385,1)}
       116:{2,4,5,6}:{(82,1),(84,1),(88,1),(150,1),(153,1),(155,1),(165,1),(187,1),(233,1),(239,1),(262,1),(269,1),(337,1),(385,1)}
       117:{3,6}:{(82,1),(83,1)}
       118:{2,3,5,7}:{(83,1),(86,1),(90,1),(152,1),(156,1),(157,1),(159,1),(384,1),(405,1)}
       119:{3,5}:{(84,1),(85,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(92,1),(156,1),(159,1),(160,1),(172,1),(184,1),(239,1),(249,1),(264,1),(266,1),(336,1),(381,1)}
       121:{1,3,4,7}:{(86,1),(93,1),(157,1),(160,1),(161,1),(171,1),(253,1),(312,1),(313,1),(321,1),(370,1),(404,1)}
       122:{1,4,5,7}:{(87,1),(88,1),(98,1),(153,1),(162,1),(185,1),(247,1),(259,1),(308,1),(313,1)}
       123:{1,3,6,7}:{(87,1),(89,1),(99,1),(154,1),(162,1),(163,1),(406,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(91,1),(100,1),(155,1),(162,1),(164,1),(165,1),(382,1),(406,1)}
       125:{2,6}:{(89,1),(90,1),(166,1)}
       126:{1,5,7}:{(90,1),(93,1),(166,1),(169,1)}
       127:{1,3,4,5}:{(91,1),(94,1),(103,1),(158,1),(164,1),(168,1),(182,1),(243,1),(254,1),(265,1),(319,1),(331,1),(382,1)}
       128:{2,5}:{(91,1),(92,1),(169,1)}
       129:{1,4,6}:{(92,1),(93,1),(96,1),(166,1),(169,1),(173,1)}
       130:{1,2,4,7}:{(93,1),(97,1),(106,1),(161,1),(167,1),(170,1),(171,1),(253,1),(375,1),(404,1)}
       131:{2,4}:{(94,1),(95,1),(173,1)}
       132:{1,3,5}:{(95,1),(96,1),(169,1),(173,1),(174,1),(258,1)}
       133:{1,2,6}:{(96,1),(97,1),(174,1),(325,1)}
       134:{3,5,7}:{(98,1),(99,1),(100,1),(175,1),(370,1)}
       135:{2,3,6,7}:{(99,1),(101,1),(108,1),(163,1),(176,1),(177,1)}
       136:{3,4,6}:{(100,1),(103,1),(175,1),(178,1),(368,1)}
       137:{2,3,5,6}:{(100,1),(101,1),(104,1),(109,1),(165,1),(176,1),(178,1),(179,1),(249,1)}
       138:{1,3,6}:{(101,1),(102,1),(110,1),(166,1),(180,1),(188,1),(412,1)}
       139:{2,5,7}:{(102,1),(106,1),(180,1),(183,1)}
       140:{2,4,5}:{(103,1),(104,1),(178,1),(182,1),(320,1)}
       141:{1,3,5}:{(104,1),(105,1),(169,1),(182,1),(183,1),(265,1),(270,1),(328,1),(407,1)}
       142:{2,4,6}:{(105,1),(106,1),(180,1),(183,1),(184,1),(257,1),(266,1),(325,1)}
       143:{2,3,7}:{(106,1),(171,1),(184,1),(333,1)}
       144:{2,5,7}:{(107,1),(108,1),(109,1),(185,1)}
       145:{1,4,6,7}:{(108,1),(110,1),(177,1),(185,1),(186,1),(259,1)}
       146:{1,5,6}:{(109,1),(110,1),(185,1),(187,1),(328,1)}
       147:{2,4,6}:{(110,1),(111,1),(180,1),(187,1),(188,1),(269,1)}
       148:{3,5,7}:{(111,1),(188,1),(189,1),(265,1),(270,1),(333,1)}
       149:{4,6,7}:{(112,1),(113,1),(190,1),(305,1),(365,1)}
       150:{4,5,6}:{(113,1),(190,1),(192,1),(307,1),(365,1)}
       151:{3,4,6}:{(113,1),(114,1),(117,1),(192,1),(193,1),(365,1),(399,1)}
       152:{2,4,5,7}:{(114,1),(118,1),(193,1),(194,1),(201,1),(224,1),(271,1),(276,1),(303,1)}
       153:{2,4,5,7}:{(115,1),(116,1),(122,1),(190,1),(195,1),(206,1),(227,1),(271,1),(276,1),(298,1),(305,1)}
       154:{3,6,7}:{(115,1),(117,1),(195,1),(399,1)}
       155:{3,5,6}:{(116,1),(117,1),(119,1),(195,1),(197,1),(301,1),(364,1),(399,1)}
       156:{2,3,6}:{(117,1),(118,1),(125,1),(193,1),(199,1),(399,1),(411,1)}
       157:{1,3,5,7}:{(118,1),(121,1),(126,1),(194,1),(199,1),(200,1),(202,1),(275,1),(410,1)}
       158:{3,4,5}:{(119,1),(197,1),(201,1),(304,1),(307,1),(364,1)}
       159:{2,3,5}:{(119,1),(120,1),(128,1),(201,1),(202,1),(303,1),(364,1),(398,1)}
       160:{1,3,4,6}:{(120,1),(121,1),(129,1),(199,1),(202,1),(203,1),(215,1),(216,1),(279,1),(289,1),(292,1),(295,1),(343,1),(347,1),(350,1),(397,1)}
       161:{2,4,7}:{(121,1),(200,1),(203,1),(204,1),(351,1)}
       162:{1,3,5,7}:{(122,1),(123,1),(124,1),(134,1),(195,1),(205,1),(206,1)}
       163:{2,6,7}:{(123,1),(125,1),(206,1),(207,1),(411,1)}
       164:{1,3,4,6}:{(124,1),(127,1),(136,1),(197,1),(205,1),(208,1),(221,1),(279,1),(289,1),(301,1),(347,1)}
       165:{2,5,6}:{(124,1),(125,1),(128,1),(206,1),(208,1),(209,1),(398,1),(411,1)}
       166:{1,6}:{(125,1),(126,1)}
       167:{1,2,5,7}:{(126,1),(130,1),(139,1),(200,1),(210,1),(211,1),(214,1),(410,1)}
       168:{2,4,5}:{(127,1),(128,1),(131,1),(208,1),(212,1),(213,1),(293,1),(360,1),(398,1)}
       169:{1,5}:{(128,1),(129,1)}
       170:{1,2,4,6}:{(129,1),(130,1),(133,1),(142,1),(203,1),(210,1),(214,1),(215,1),(217,1),(292,1),(295,1),(296,1),(355,1),(397,1)}
       171:{1,3,7}:{(130,1),(143,1),(204,1),(215,1)}
       172:{2,3,4}:{(131,1),(212,1),(216,1),(297,1),(304,1),(350,1),(360,1)}
       173:{1,4}:{(131,1),(132,1)}
       174:{1,2,5}:{(132,1),(133,1),(217,1),(293,1)}
       175:{3,4,7}:{(134,1),(136,1),(218,1),(386,1)}
       176:{2,3,5,7}:{(134,1),(135,1),(137,1),(144,1),(206,1),(218,1),(219,1),(285,1)}
       177:{1,3,6,7}:{(135,1),(138,1),(145,1),(207,1),(219,1),(220,1),(228,1)}
       178:{2,4,6}:{(136,1),(137,1),(140,1),(218,1),(221,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(209,1),(219,1),(221,1),(222,1),(229,1),(289,1),(301,1)}
       180:{2,6}:{(138,1),(139,1)}
       181:{2,3,5,7}:{(139,1),(143,1),(148,1),(211,1),(223,1),(224,1),(226,1),(303,1)}
       182:{1,4,5}:{(140,1),(141,1),(221,1),(225,1),(295,1),(307,1)}
       183:{2,5}:{(141,1),(142,1)}
       184:{2,3,6}:{(142,1),(143,1),(215,1),(226,1),(297,1),(301,1)}
       185:{1,5,7}:{(144,1),(145,1),(146,1),(227,1)}
       186:{2,4,6,7}:{(145,1),(147,1),(220,1),(227,1),(228,1),(298,1),(305,1)}
       187:{2,5,6}:{(146,1),(147,1),(227,1),(229,1),(303,1)}
       188:{3,6}:{(147,1),(148,1)}
       189:{3,4,7}:{(148,1),(224,1),(230,1),(304,1),(305,1)}
       190:{4,5,7}:{(149,1),(150,1),(231,1)}
       191:{3,4,6,7}:{(149,1),(151,1),(154,1),(231,1),(232,1),(236,1)}
       192:{3,5,6}:{(150,1),(151,1),(231,1),(233,1),(270,1)}
       193:{2,4,6}:{(151,1),(152,1),(156,1),(233,1),(234,1)}
       194:{1,4,5,7}:{(152,1),(157,1),(234,1),(235,1),(243,1),(253,1),(308,1),(313,1),(328,1)}
       195:{3,5,7}:{(153,1),(154,1),(155,1),(236,1),(333,1)}
       196:{2,3,6,7}:{(154,1),(156,1),(163,1),(232,1),(237,1),(238,1)}
       197:{3,4,6}:{(155,1),(158,1),(236,1),(239,1),(269,1)}
       198:{2,3,5,6}:{(155,1),(156,1),(159,1),(165,1),(233,1),(237,1),(239,1),(240,1),(249,1)}
       199:{1,3,6}:{(156,1),(157,1),(166,1),(234,1),(241,1),(311,1),(412,1)}
       200:{2,5,7}:{(157,1),(161,1),(241,1),(244,1)}
       201:{2,4,5}:{(158,1),(159,1),(239,1),(243,1),(266,1)}
       202:{1,3,5}:{(159,1),(160,1),(169,1),(243,1),(244,1),(319,1),(328,1),(369,1),(407,1)}
       203:{2,4,6}:{(160,1),(161,1),(241,1),(244,1),(245,1),(257,1),(320,1),(325,1)}
       204:{2,3,7}:{(161,1),(171,1),(245,1),(370,1)}
       205:{1,3,4,7}:{(162,1),(164,1),(175,1),(236,1),(246,1),(259,1),(313,1),(321,1),(333,1),(370,1)}
       206:{2,5,7}:{(162,1),(163,1),(165,1),(246,1),(247,1)}
       207:{1,6,7}:{(163,1),(166,1),(247,1),(412,1)}
       208:{2,4,6}:{(164,1),(165,1),(168,1),(246,1),(249,1),(250,1),(325,1)}
       209:{1,5,6}:{(165,1),(166,1),(169,1),(247,1),(250,1),(407,1),(412,1)}
       210:{1,2,6}:{(166,1),(167,1),(180,1),(241,1),(252,1),(412,1)}
       211:{1,3,5,7}:{(167,1),(171,1),(181,1),(242,1),(252,1),(253,1),(256,1),(328,1)}
       212:{2,3,5}:{(168,1),(172,1),(249,1),(254,1),(265,1),(319,1)}
       213:{1,4,5}:{(168,1),(169,1),(173,1),(250,1),(254,1),(383,1),(407,1)}
       214:{1,2,5}:{(169,1),(170,1),(183,1),(244,1),(256,1),(328,1),(407,1)}
       215:{1,3,6}:{(170,1),(171,1),(184,1),(245,1),(256,1),(258,1),(332,1)}
       216:{1,3,4}:{(172,1),(173,1),(254,1),(257,1),(258,1),(332,1),(383,1)}
       217:{1,2,4}:{(173,1),(174,1),(257,1),(258,1)}
       218:{2,4,7}:{(175,1),(176,1),(178,1),(259,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(179,1),(185,1),(247,1),(259,1),(260,1),(267,1),(321,1),(333,1)}
       220:{2,6,7}:{(177,1),(180,1),(260,1)}
       221:{1,4,6}:{(178,1),(179,1),(182,1),(259,1),(262,1),(269,1)}
       222:{2,5,6}:{(179,1),(180,1),(183,1),(260,1),(262,1),(325,1)}
       223:{2,3,6}:{(180,1),(181,1),(188,1),(252,1),(264,1)}
       224:{2,4,7}:{(181,1),(189,1),(253,1),(264,1),(266,1)}
       225:{2,4,5}:{(182,1),(183,1),(262,1),(265,1),(266,1)}
       226:{2,3,5}:{(183,1),(184,1),(256,1),(265,1),(266,1)}
       227:{2,5,7}:{(185,1),(186,1),(187,1),(267,1)}
       228:{3,6,7}:{(186,1),(188,1),(267,1),(333,1)}
       229:{3,5,6}:{(187,1),(188,1),(267,1),(269,1),(270,1)}
       230:{3,4,6}:{(188,1),(189,1),(264,1),(269,1),(270,1)}
       231:{3,5,7}:{(190,1),(191,1),(192,1),(271,1)}
       232:{2,4,6,7}:{(191,1),(193,1),(196,1),(271,1),(272,1),(276,1)}
       233:{2,5,6}:{(192,1),(193,1),(271,1),(273,1),(303,1)}
       234:{1,4,6}:{(193,1),(194,1),(199,1),(273,1),(274,1)}
       235:{2,4,5,7}:{(194,1),(200,1),(274,1),(275,1),(282,1),(283,1),(340,1),(344,1),(349,1),(386,1),(388,1)}
       236:{3,4,7}:{(195,1),(197,1),(276,1),(305,1)}
       237:{2,3,5,7}:{(195,1),(196,1),(198,1),(206,1),(271,1),(276,1),(277,1),(285,1)}
       238:{1,3,6,7}:{(196,1),(199,1),(207,1),(272,1),(277,1),(278,1),(341,1)}
       239:{2,4,6}:{(197,1),(198,1),(201,1),(276,1),(279,1)}
       240:{1,3,5,6}:{(198,1),(199,1),(202,1),(209,1),(273,1),(277,1),(279,1),(280,1),(289,1),(342,1),(347,1)}
       241:{2,6}:{(199,1),(200,1)}
       242:{2,3,5,7}:{(200,1),(204,1),(211,1),(275,1),(281,1),(282,1),(284,1),(349,1)}
       243:{1,4,5}:{(201,1),(202,1),(279,1),(283,1),(295,1),(388,1)}
       244:{2,5}:{(202,1),(203,1)}
       245:{2,3,6}:{(203,1),(204,1),(215,1),(284,1),(297,1),(347,1)}
       246:{2,4,7}:{(205,1),(206,1),(208,1),(285,1),(286,1),(351,1)}
       247:{1,5,7}:{(206,1),(207,1),(209,1),(286,1)}
       248:{1,2,6,7}:{(207,1),(210,1),(220,1),(278,1),(287,1),(288,1),(411,1)}
       249:{2,3,6}:{(208,1),(212,1),(285,1),(289,1),(301,1),(347,1)}
       250:{1,4,6}:{(208,1),(209,1),(213,1),(286,1),(289,1)}
       251:{1,2,5,6}:{(209,1),(210,1),(214,1),(222,1),(280,1),(287,1),(290,1),(291,1),(355,1),(398,1),(411,1)}
       252:{1,3,6}:{(210,1),(211,1),(223,1),(281,1),(292,1)}
       253:{1,4,7}:{(211,1),(224,1),(282,1),(292,1),(295,1)}
       254:{1,3,5}:{(212,1),(213,1),(216,1),(289,1),(293,1)}
       255:{1,2,4,5}:{(213,1),(214,1),(217,1),(225,1),(283,1),(290,1),(293,1),(294,1),(295,1),(358,1),(360,1),(398,1)}
       256:{1,3,5}:{(214,1),(215,1),(226,1),(284,1),(295,1)}
       257:{2,4}:{(216,1),(293,1),(297,1)}
       258:{1,3}:{(217,1),(297,1)}
       259:{1,4,7}:{(218,1),(219,1),(221,1),(298,1),(305,1)}
       260:{2,5,7}:{(219,1),(220,1),(222,1),(298,1),(351,1)}
       261:{2,3,6,7}:{(220,1),(223,1),(228,1),(288,1),(299,1),(300,1),(399,1),(411,1)}
       262:{2,4,6}:{(221,1),(222,1),(225,1),(298,1),(301,1)}
       263:{2,3,5,6}:{(222,1),(223,1),(226,1),(229,1),(291,1),(299,1),(301,1),(302,1),(303,1),(356,1),(363,1),(364,1),(398,1),(399,1),(411,1)}
       264:{2,4,6}:{(223,1),(224,1),(230,1),(292,1),(303,1)}
       265:{3,5}:{(225,1),(301,1),(304,1)}
       266:{2,4}:{(226,1),(295,1),(304,1)}
       267:{3,5,7}:{(227,1),(228,1),(229,1),(305,1)}
       268:{3,4,6,7}:{(228,1),(230,1),(300,1),(305,1),(306,1),(361,1),(365,1),(399,1)}
       269:{4,6}:{(229,1),(305,1),(307,1)}
       270:{3,5}:{(230,1),(303,1),(307,1)}
       271:{2,5,7}:{(231,1),(232,1),(233,1),(308,1)}
       272:{1,4,6,7}:{(232,1),(234,1),(238,1),(308,1),(309,1),(313,1)}
       273:{1,5,6}:{(233,1),(234,1),(308,1),(310,1),(328,1)}
       274:{2,4,6}:{(234,1),(235,1),(241,1),(310,1),(311,1),(368,1)}
       275:{3,5,7}:{(235,1),(311,1),(312,1),(319,1),(369,1),(370,1)}
       276:{2,4,7}:{(236,1),(237,1),(239,1),(313,1)}
       277:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(308,1),(313,1),(314,1),(321,1),(366,1),(370,1)}
       278:{2,6,7}:{(238,1),(241,1),(314,1)}
       279:{1,4,6}:{(239,1),(240,1),(243,1),(313,1),(316,1),(368,1)}
       280:{2,5,6}:{(240,1),(241,1),(244,1),(314,1),(316,1),(325,1)}
       281:{2,3,6}:{(241,1),(242,1),(252,1),(311,1),(318,1)}
       282:{2,4,7}:{(242,1),(253,1),(312,1),(318,1),(320,1)}
       283:{2,4,5}:{(243,1),(244,1),(316,1),(319,1),(320,1)}
       284:{2,3,5}:{(244,1),(245,1),(256,1),(319,1),(320,1)}
       285:{2,3,7}:{(246,1),(249,1),(321,1),(333,1),(370,1)}
       286:{1,4,7}:{(246,1),(247,1),(250,1),(321,1)}
       287:{1,2,5,7}:{(247,1),(248,1),(251,1),(260,1),(314,1),(322,1),(323,1),(375,1),(405,1)}
       288:{1,3,6,7}:{(248,1),(252,1),(261,1),(315,1),(323,1),(324,1),(406,1),(412,1)}
       289:{1,3,6}:{(249,1),(250,1),(254,1),(321,1),(325,1)}
       290:{1,2,4,6}:{(250,1),(251,1),(255,1),(262,1),(316,1),(322,1),(325,1),(326,1),(327,1),(381,1)}
       291:{1,3,5,6}:{(251,1),(252,1),(256,1),(263,1),(317,1),(323,1),(326,1),(327,1),(328,1),(379,1),(380,1),(382,1),(406,1),(407,1),(412,1)}
       292:{1,4,6}:{(252,1),(253,1),(264,1),(318,1),(328,1)}
       293:{2,5}:{(254,1),(257,1),(325,1)}
       294:{1,3,5}:{(255,1),(258,1),(265,1),(319,1),(326,1),(330,1),(331,1)}
       295:{1,4}:{(256,1),(266,1),(320,1)}
       296:{1,2,4}:{(257,1),(329,1),(332,1),(383,1)}
       297:{2,3}:{(257,1),(258,1),(332,1)}
       298:{2,4,7}:{(259,1),(260,1),(262,1),(333,1)}
       299:{2,3,5,7}:{(260,1),(261,1),(263,1),(267,1),(323,1),(333,1),(334,1),(335,1),(376,1),(384,1),(405,1)}
       300:{2,4,6,7}:{(261,1),(264,1),(268,1),(324,1),(334,1),(335,1),(385,1)}
       301:{3,6}:{(262,1),(265,1),(333,1)}
       302:{2,4,6}:{(263,1),(266,1),(269,1),(327,1),(334,1),(336,1),(337,1)}
       303:{2,5}:{(264,1),(270,1),(328,1)}
       304:{3,4}:{(265,1),(266,1)}
       305:{4,7}:{(267,1),(269,1)}
       306:{3,5,7}:{(268,1),(270,1),(335,1),(338,1),(339,1)}
       307:{4,5}:{(269,1),(270,1)}
       308:{1,5,7}:{(271,1),(272,1),(273,1),(340,1)}
       309:{2,4,6,7}:{(272,1),(274,1),(278,1),(340,1),(341,1),(344,1),(386,1)}
       310:{2,5,6}:{(273,1),(274,1),(340,1),(342,1),(349,1)}
       311:{3,6}:{(274,1),(275,1)}
       312:{3,4,7}:{(275,1),(282,1),(343,1),(350,1),(386,1)}
       313:{1,4,7}:{(276,1),(277,1),(279,1),(344,1),(386,1)}
       314:{2,5,7}:{(277,1),(278,1),(280,1),(344,1),(351,1)}
       315:{2,3,6,7}:{(278,1),(281,1),(288,1),(341,1),(345,1),(346,1),(409,1),(411,1)}
       316:{2,4,6}:{(279,1),(280,1),(283,1),(344,1),(347,1)}
       317:{2,3,5,6}:{(280,1),(281,1),(284,1),(291,1),(342,1),(345,1),(347,1),(348,1),(349,1),(356,1),(391,1),(392,1),(398,1),(409,1),(411,1)}
       318:{2,4,6}:{(281,1),(282,1),(292,1),(343,1),(349,1)}
       319:{3,5}:{(283,1),(347,1),(350,1)}
       320:{2,4}:{(284,1),(295,1),(350,1)}
       321:{1,3,7}:{(285,1),(286,1),(289,1),(351,1)}
       322:{1,2,4,7}:{(286,1),(287,1),(290,1),(298,1),(344,1),(351,1),(352,1),(353,1),(394,1)}
       323:{1,3,5,7}:{(287,1),(288,1),(291,1),(299,1),(345,1),(352,1),(353,1),(354,1),(393,1),(410,1)}
       324:{1,4,6,7}:{(288,1),(292,1),(300,1),(346,1),(353,1),(354,1),(396,1)}
       325:{2,6}:{(289,1),(293,1),(351,1)}
       326:{1,3,6}:{(290,1),(294,1),(301,1),(347,1),(352,1),(356,1)}
       327:{1,4,6}:{(291,1),(295,1),(302,1),(348,1),(353,1),(358,1)}
       328:{1,5}:{(292,1),(303,1),(349,1)}
       329:{1,2,5}:{(293,1),(296,1),(355,1),(359,1)}
       330:{2,3,5}:{(293,1),(294,1),(297,1),(356,1),(359,1),(360,1),(398,1)}
       331:{1,3,4}:{(294,1),(295,1),(304,1),(350,1),(360,1)}
       332:{1,3}:{(296,1),(297,1)}
       333:{3,7}:{(298,1),(301,1)}
       334:{2,4,7}:{(299,1),(302,1),(305,1),(353,1),(361,1)}
       335:{2,5,7}:{(300,1),(303,1),(306,1),(354,1),(363,1)}
       336:{3,4,6}:{(301,1),(302,1),(304,1),(361,1),(364,1),(399,1)}
       337:{2,4,5}:{(302,1),(303,1),(307,1),(358,1),(364,1),(398,1)}
       338:{4,5,7}:{(305,1),(306,1),(307,1),(365,1)}
       339:{3,5,6}:{(306,1),(363,1),(365,1),(399,1)}
       340:{2,5,7}:{(308,1),(309,1),(310,1),(366,1)}
       341:{3,6,7}:{(309,1),(311,1),(366,1),(370,1)}
       342:{3,5,6}:{(310,1),(311,1),(366,1),(368,1),(369,1)}
       343:{3,4,6}:{(311,1),(312,1),(318,1),(368,1),(369,1)}
       344:{2,4,7}:{(313,1),(314,1),(316,1),(370,1)}
       345:{2,3,5,7}:{(314,1),(315,1),(317,1),(323,1),(366,1),(370,1),(371,1),(372,1),(376,1),(402,1),(405,1)}
       346:{2,4,6,7}:{(315,1),(318,1),(324,1),(367,1),(371,1),(372,1),(403,1)}
       347:{3,6}:{(316,1),(319,1),(370,1)}
       348:{2,4,6}:{(317,1),(320,1),(327,1),(368,1),(371,1),(373,1),(374,1)}
       349:{2,5}:{(318,1),(328,1),(369,1)}
       350:{3,4}:{(319,1),(320,1)}
       351:{2,7}:{(321,1),(325,1)}
       352:{1,3,7}:{(322,1),(326,1),(333,1),(370,1),(376,1)}
       353:{1,4,7}:{(323,1),(327,1),(334,1),(371,1)}
       354:{1,5,7}:{(324,1),(328,1),(335,1),(372,1),(379,1)}
       355:{1,2,6}:{(325,1),(329,1),(375,1),(380,1)}
       356:{2,3,6}:{(325,1),(326,1),(330,1),(376,1),(380,1),(381,1)}
       357:{1,3,4,6}:{(326,1),(327,1),(331,1),(336,1),(373,1),(377,1),(381,1),(382,1),(406,1)}
       358:{1,4,5}:{(327,1),(328,1),(337,1),(374,1),(382,1),(407,1)}
       359:{1,3,5}:{(329,1),(330,1),(332,1),(380,1),(383,1),(407,1)}
       360:{2,4}:{(330,1),(331,1),(383,1)}
       361:{3,4,7}:{(333,1),(334,1),(336,1),(384,1)}
       362:{2,4,5,7}:{(334,1),(335,1),(337,1),(338,1),(378,1),(384,1),(385,1),(405,1)}
       363:{2,5,6}:{(335,1),(339,1),(379,1),(385,1)}
       364:{3,5}:{(336,1),(337,1)}
       365:{4,6}:{(338,1),(339,1)}
       366:{3,5,7}:{(340,1),(341,1),(342,1),(386,1)}
       367:{3,4,6,7}:{(341,1),(343,1),(346,1),(386,1),(387,1),(389,1),(408,1),(409,1)}
       368:{4,6}:{(342,1),(386,1),(388,1)}
       369:{3,5}:{(343,1),(349,1),(388,1)}
       370:{3,7}:{(344,1),(347,1)}
       371:{2,4,7}:{(345,1),(348,1),(353,1),(386,1),(389,1)}
       372:{2,5,7}:{(346,1),(349,1),(354,1),(387,1),(391,1)}
       373:{3,4,6}:{(347,1),(348,1),(350,1),(389,1),(392,1),(409,1)}
       374:{2,4,5}:{(348,1),(349,1),(358,1),(388,1),(392,1),(398,1)}
       375:{1,2,7}:{(351,1),(355,1),(393,1)}
       376:{2,3,7}:{(351,1),(352,1),(356,1),(393,1),(394,1)}
       377:{1,3,4,7}:{(352,1),(353,1),(357,1),(361,1),(389,1),(394,1),(395,1)}
       378:{1,4,5,7}:{(353,1),(354,1),(358,1),(362,1),(390,1),(395,1),(396,1),(410,1)}
       379:{1,5,6}:{(354,1),(363,1),(391,1),(396,1)}
       380:{1,3,6}:{(355,1),(356,1),(359,1),(393,1),(397,1)}
       381:{2,4,6}:{(356,1),(357,1),(360,1),(394,1),(397,1),(398,1),(411,1)}
       382:{1,3,5}:{(357,1),(358,1),(364,1),(392,1),(398,1)}
       383:{1,4}:{(359,1),(360,1)}
       384:{3,5,7}:{(361,1),(362,1),(364,1),(399,1)}
       385:{2,4,6}:{(362,1),(363,1),(365,1),(396,1),(399,1),(411,1)}
       386:{4,7}:{(366,1),(368,1)}
       387:{3,5,7}:{(367,1),(369,1),(372,1),(400,1),(401,1)}
       388:{4,5}:{(368,1),(369,1)}
       389:{3,4,7}:{(370,1),(371,1),(373,1),(402,1)}
       390:{2,4,5,7}:{(371,1),(372,1),(374,1),(378,1),(400,1),(402,1),(403,1),(405,1)}
       391:{2,5,6}:{(372,1),(379,1),(401,1),(403,1)}
       392:{3,5}:{(373,1),(374,1)}
       393:{1,3,7}:{(375,1),(376,1),(380,1),(404,1)}
       394:{2,4,7}:{(376,1),(377,1),(381,1),(404,1),(405,1)}
       395:{1,3,5,7}:{(377,1),(378,1),(382,1),(384,1),(402,1),(405,1),(406,1)}
       396:{1,4,6}:{(378,1),(379,1),(385,1),(403,1),(406,1),(412,1)}
       397:{1,4,6}:{(380,1),(381,1),(383,1),(404,1),(407,1),(412,1)}
       398:{2,5}:{(381,1),(382,1),(407,1)}
       399:{3,6}:{(384,1),(385,1)}
       400:{4,5,7}:{(386,1),(387,1),(388,1),(408,1)}
       401:{3,5,6}:{(387,1),(391,1),(408,1),(409,1)}
       402:{3,5,7}:{(389,1),(390,1),(392,1),(409,1)}
       403:{2,4,6}:{(390,1),(391,1),(396,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(393,1),(394,1),(397,1),(410,1)}
       405:{2,5,7}:{(394,1),(395,1),(398,1),(410,1),(411,1)}
       406:{1,3,6}:{(395,1),(396,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(397,1),(398,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

 952 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(93,1)}
         1:{2,3,6}:{(5,1),(6,1),(7,1),(8,1),(66,1),(93,1)}
         2:{3,4,6}:{(8,1),(9,1),(10,1),(29,1),(34,1),(35,1),(66,1)}
         3:{1,2,5}:{(0,1),(12,1),(13,1),(41,1),(79,1)}
         4:{1,2,7}:{(0,1),(14,1),(100,1)}
         5:{1,3,6}:{(0,1),(1,1),(11,1),(13,1),(14,1),(15,1),(99,1)}
         6:{2,3,5}:{(1,1),(13,1),(16,1),(18,1),(42,1),(47,1),(79,1)}
         7:{2,3,7}:{(1,1),(14,1),(17,1),(83,1),(100,1)}
         8:{2,4,6}:{(1,1),(2,1),(15,1),(16,1),(17,1),(18,1),(49,1)}
         9:{3,4,7}:{(2,1),(17,1),(20,1),(52,1),(83,1)}
        10:{3,5}:{(2,1),(18,1),(19,1)}
        11:{2,3,6}:{(5,1),(22,1),(23,1),(24,1),(89,1),(93,1)}
        12:{1,2,4}:{(3,1),(25,1),(26,1),(61,1)}
        13:{1,3,5}:{(3,1),(5,1),(6,1),(22,1),(25,1),(26,1),(28,1),(60,1),(92,1)}
        14:{1,3,7}:{(4,1),(5,1),(7,1),(23,1),(27,1),(103,1)}
        15:{1,4,6}:{(5,1),(8,1),(24,1),(26,1),(27,1),(28,1),(64,1)}
        16:{2,4}:{(6,1),(26,1),(29,1)}
        17:{2,4,7}:{(7,1),(8,1),(9,1),(27,1),(31,1)}
        18:{2,5}:{(8,1),(10,1),(28,1)}
        19:{4,5}:{(10,1),(34,1)}
        20:{3,5,7}:{(9,1),(10,1),(31,1),(33,1),(35,1)}
        21:{3,5,6}:{(10,1),(32,1),(34,1),(35,1),(36,1),(66,1),(69,1)}
        22:{2,3,5}:{(11,1),(13,1),(38,1),(40,1),(42,1),(74,1),(79,1)}
        23:{2,3,7}:{(11,1),(14,1),(39,1),(98,1),(100,1)}
        24:{2,4,6}:{(11,1),(15,1),(37,1),(38,1),(39,1),(40,1),(76,1)}
        25:{1,3}:{(12,1),(42,1)}
        26:{1,4}:{(13,1),(16,1),(38,1)}
        27:{1,4,7}:{(14,1),(15,1),(17,1),(39,1),(45,1)}
        28:{1,5}:{(15,1),(18,1),(40,1)}
        29:{3,4}:{(16,1),(47,1)}
        30:{2,4,5}:{(16,1),(18,1),(19,1),(44,1),(47,1),(48,1),(79,1)}
        31:{2,5,7}:{(17,1),(18,1),(20,1),(45,1),(49,1)}
        32:{2,5,6}:{(18,1),(21,1),(46,1),(48,1),(49,1),(50,1)}
        33:{4,5,7}:{(19,1),(20,1),(51,1),(52,1),(84,1)}
        34:{4,6}:{(19,1),(21,1),(52,1)}
        35:{3,6}:{(20,1),(49,1),(51,1)}
        36:{3,5,7}:{(21,1),(50,1),(52,1),(53,1),(83,1),(84,1)}
        37:{3,4,6}:{(24,1),(54,1),(55,1),(56,1),(86,1),(87,1),(89,1)}
        38:{2,4}:{(22,1),(26,1),(56,1)}
        39:{2,4,7}:{(23,1),(24,1),(27,1),(54,1),(58,1)}
        40:{2,5}:{(24,1),(28,1),(55,1)}
        41:{1,2}:{(60,1)}
        42:{2,3}:{(25,1),(60,1),(61,1)}
        43:{1,3,4}:{(25,1),(26,1),(29,1),(56,1),(61,1),(62,1)}
        44:{1,4,5}:{(26,1),(28,1),(30,1),(57,1),(62,1),(63,1),(92,1)}
        45:{1,5,7}:{(27,1),(28,1),(31,1),(58,1),(64,1)}
        46:{1,5,6}:{(28,1),(32,1),(59,1),(63,1),(64,1),(65,1)}
        47:{3,5}:{(29,1),(30,1),(66,1)}
        48:{2,4,6}:{(30,1),(32,1),(34,1),(63,1),(66,1),(67,1),(93,1)}
        49:{2,6}:{(31,1),(35,1),(64,1)}
        50:{2,5,7}:{(32,1),(36,1),(65,1),(67,1),(68,1)}
        51:{4,6}:{(33,1),(35,1),(69,1)}
        52:{4,7}:{(34,1),(36,1)}
        53:{3,6,7}:{(35,1),(36,1),(68,1),(70,1)}
        54:{3,4,7}:{(37,1),(39,1),(72,1),(96,1),(98,1)}
        55:{3,5}:{(37,1),(40,1),(71,1)}
        56:{3,4}:{(38,1),(74,1)}
        57:{2,4,5}:{(38,1),(40,1),(44,1),(71,1),(74,1),(75,1),(79,1)}
        58:{2,5,7}:{(39,1),(40,1),(45,1),(72,1),(76,1)}
        59:{2,5,6}:{(40,1),(46,1),(73,1),(75,1),(76,1),(77,1)}
        60:{1,3}:{(41,1),(42,1),(78,1)}
        61:{2,4}:{(42,1),(43,1),(78,1),(79,1)}
        62:{1,3,5}:{(43,1),(44,1),(47,1),(74,1),(79,1),(80,1)}
        63:{1,4,6}:{(44,1),(46,1),(48,1),(75,1),(80,1),(81,1),(99,1)}
        64:{1,6}:{(45,1),(49,1),(76,1)}
        65:{1,5,7}:{(46,1),(50,1),(77,1),(81,1),(82,1)}
        66:{3,6}:{(47,1),(48,1),(83,1)}
        67:{2,4,7}:{(48,1),(50,1),(52,1),(81,1),(83,1),(100,1)}
        68:{2,6,7}:{(49,1),(50,1),(53,1),(82,1)}
        69:{5,6}:{(51,1),(84,1)}
        70:{4,6,7}:{(51,1),(52,1),(53,1),(84,1)}
        71:{4,5}:{(55,1),(86,1)}
        72:{3,5,7}:{(54,1),(55,1),(58,1),(85,1),(87,1)}
        73:{3,5,6}:{(55,1),(59,1),(86,1),(87,1),(88,1),(89,1),(101,1)}
        74:{3,5}:{(56,1),(57,1),(89,1)}
        75:{2,4,6}:{(57,1),(59,1),(63,1),(86,1),(89,1),(90,1),(93,1)}
        76:{2,6}:{(58,1),(64,1),(87,1)}
        77:{2,5,7}:{(59,1),(65,1),(88,1),(90,1),(91,1)}
        78:{1,4}:{(60,1),(61,1),(92,1)}
        79:{2,5}:{(61,1),(62,1),(92,1),(93,1)}
        80:{1,3,6}:{(62,1),(63,1),(66,1),(89,1),(93,1),(94,1)}
        81:{1,4,7}:{(63,1),(65,1),(67,1),(90,1),(94,1),(103,1)}
        82:{1,6,7}:{(64,1),(65,1),(68,1),(91,1)}
        83:{3,7}:{(66,1),(67,1)}
        84:{5,7}:{(69,1),(70,1)}
        85:{4,5,7}:{(71,1),(72,1),(95,1),(96,1),(104,1)}
        86:{4,6}:{(71,1),(73,1),(96,1)}
        87:{3,6}:{(72,1),(76,1),(95,1)}
        88:{3,5,7}:{(73,1),(77,1),(96,1),(97,1),(98,1),(104,1)}
        89:{3,6}:{(74,1),(75,1),(98,1)}
        90:{2,4,7}:{(75,1),(77,1),(81,1),(96,1),(98,1),(100,1)}
        91:{2,6,7}:{(76,1),(77,1),(82,1),(97,1)}
        92:{1,5}:{(78,1),(79,1),(99,1)}
        93:{2,6}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,3,7}:{(80,1),(81,1),(83,1),(98,1),(100,1)}
        95:{4,6}:{(85,1),(87,1),(101,1)}
        96:{4,7}:{(86,1),(88,1)}
        97:{3,6,7}:{(87,1),(88,1),(91,1),(102,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(93,1),(103,1)}
       100:{2,7}:{(93,1),(94,1),(103,1)}
       101:{5,6}:{(95,1),(104,1)}
       102:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 953 :   0:{1,2,7}:{(3,1),(4,1),(103,1)}
         1:{2,3,7}:{(4,1),(5,1),(6,1),(89,1),(103,1)}
         2:{3,4,7}:{(6,1),(7,1),(8,1),(63,1),(89,1)}
         3:{1,2,6}:{(0,1),(10,1),(11,1),(97,1)}
         4:{1,3,7}:{(0,1),(1,1),(9,1),(11,1),(12,1),(104,1)}
         5:{2,3,6}:{(1,1),(11,1),(13,1),(14,1),(76,1),(97,1)}
         6:{2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
         7:{3,4,6}:{(2,1),(14,1),(17,1),(18,1),(40,1),(46,1),(76,1)}
         8:{3,5,7}:{(2,1),(15,1),(16,1),(17,1),(18,1)}
         9:{2,3,7}:{(4,1),(19,1),(20,1),(101,1),(103,1)}
        10:{1,2,5}:{(3,1),(21,1),(22,1),(53,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(5,1),(19,1),(22,1),(23,1),(102,1)}
        12:{1,4,7}:{(4,1),(6,1),(20,1),(23,1),(24,1)}
        13:{2,3,5}:{(5,1),(22,1),(25,1),(26,1),(54,1),(59,1),(86,1)}
        14:{2,4,6}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(27,1)}
        15:{2,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1)}
        16:{4,5,7}:{(8,1),(28,1),(29,1),(62,1),(63,1)}
        17:{3,5}:{(7,1),(26,1),(29,1)}
        18:{3,6}:{(8,1),(27,1),(28,1)}
        19:{2,3,6}:{(9,1),(11,1),(33,1),(34,1),(94,1),(97,1)}
        20:{2,4,7}:{(9,1),(12,1),(32,1),(34,1),(35,1)}
        21:{1,2,4}:{(10,1),(36,1),(37,1),(72,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(33,1),(36,1),(37,1),(38,1),(71,1),(96,1)}
        23:{1,4,6}:{(11,1),(12,1),(14,1),(34,1),(37,1),(38,1),(39,1)}
        24:{1,5,7}:{(12,1),(15,1),(35,1),(38,1),(39,1)}
        25:{2,4}:{(13,1),(37,1),(40,1)}
        26:{2,5}:{(14,1),(17,1),(38,1)}
        27:{2,6}:{(15,1),(18,1),(39,1)}
        28:{4,6}:{(16,1),(18,1),(44,1)}
        29:{4,5}:{(17,1),(46,1)}
        30:{3,5,6}:{(17,1),(18,1),(42,1),(44,1),(46,1),(47,1),(76,1)}
        31:{3,6,7}:{(18,1),(43,1),(45,1),(47,1)}
        32:{3,4,7}:{(20,1),(48,1),(49,1),(100,1),(101,1)}
        33:{2,3,5}:{(19,1),(22,1),(50,1),(51,1),(54,1),(82,1),(86,1)}
        34:{2,4,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(51,1),(52,1)}
        35:{2,5,7}:{(20,1),(24,1),(49,1),(51,1),(52,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,4}:{(22,1),(25,1),(50,1)}
        38:{1,5}:{(23,1),(26,1),(51,1)}
        39:{1,6}:{(24,1),(27,1),(52,1)}
        40:{3,4}:{(25,1),(59,1)}
        41:{2,4,5}:{(25,1),(26,1),(29,1),(56,1),(59,1),(60,1),(86,1)}
        42:{2,5,6}:{(26,1),(27,1),(30,1),(57,1),(60,1),(61,1)}
        43:{2,6,7}:{(27,1),(31,1),(58,1),(61,1)}
        44:{5,6}:{(28,1),(62,1)}
        45:{4,6,7}:{(28,1),(31,1),(62,1),(63,1)}
        46:{4,6}:{(29,1),(30,1),(63,1)}
        47:{3,5,7}:{(30,1),(31,1),(61,1),(62,1),(63,1),(89,1)}
        48:{3,4,6}:{(32,1),(34,1),(65,1),(66,1),(67,1),(92,1),(94,1)}
        49:{3,5,7}:{(32,1),(35,1),(64,1),(65,1),(66,1)}
        50:{2,4}:{(33,1),(37,1),(67,1)}
        51:{2,5}:{(34,1),(38,1),(65,1)}
        52:{2,6}:{(35,1),(39,1),(66,1)}
        53:{1,2}:{(71,1)}
        54:{2,3}:{(36,1),(71,1),(72,1)}
        55:{1,3,4}:{(36,1),(37,1),(40,1),(67,1),(72,1),(73,1)}
        56:{1,4,5}:{(37,1),(38,1),(41,1),(68,1),(73,1),(74,1),(96,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(69,1),(74,1),(75,1)}
        58:{1,6,7}:{(39,1),(43,1),(70,1),(75,1)}
        59:{3,5}:{(40,1),(41,1),(76,1)}
        60:{2,4,6}:{(41,1),(42,1),(46,1),(74,1),(76,1),(77,1),(97,1)}
        61:{2,5,7}:{(42,1),(43,1),(47,1),(75,1),(77,1)}
        62:{5,7}:{(44,1),(45,1)}
        63:{4,7}:{(46,1),(47,1)}
        64:{4,5,7}:{(49,1),(78,1),(79,1),(99,1),(100,1)}
        65:{3,5}:{(48,1),(51,1),(79,1)}
        66:{3,6}:{(49,1),(52,1),(78,1)}
        67:{3,4}:{(50,1),(82,1)}
        68:{2,4,5}:{(50,1),(51,1),(56,1),(79,1),(82,1),(83,1),(86,1)}
        69:{2,5,6}:{(51,1),(52,1),(57,1),(80,1),(83,1),(84,1)}
        70:{2,6,7}:{(52,1),(58,1),(81,1),(84,1)}
        71:{1,3}:{(53,1),(54,1),(85,1)}
        72:{2,4}:{(54,1),(55,1),(85,1),(86,1)}
        73:{1,3,5}:{(55,1),(56,1),(59,1),(82,1),(86,1),(87,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(83,1),(87,1),(88,1),(102,1)}
        75:{1,5,7}:{(57,1),(58,1),(61,1),(84,1),(88,1)}
        76:{3,6}:{(59,1),(60,1),(89,1)}
        77:{2,4,7}:{(60,1),(61,1),(63,1),(88,1),(89,1),(103,1)}
        78:{4,6}:{(64,1),(66,1),(90,1)}
        79:{4,5}:{(65,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(69,1),(90,1),(92,1),(93,1),(94,1)}
        81:{3,6,7}:{(66,1),(70,1),(91,1),(93,1)}
        82:{3,5}:{(67,1),(68,1),(94,1)}
        83:{2,4,6}:{(68,1),(69,1),(74,1),(92,1),(94,1),(95,1),(97,1)}
        84:{2,5,7}:{(69,1),(70,1),(75,1),(93,1),(95,1)}
        85:{1,4}:{(71,1),(72,1),(96,1)}
        86:{2,5}:{(72,1),(73,1),(96,1),(97,1)}
        87:{1,3,6}:{(73,1),(74,1),(76,1),(94,1),(97,1),(98,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1),(95,1),(98,1),(104,1)}
        89:{3,7}:{(76,1),(77,1)}
        90:{5,6}:{(78,1),(99,1)}
        91:{4,6,7}:{(78,1),(81,1),(99,1),(100,1)}
        92:{4,6}:{(79,1),(80,1),(100,1)}
        93:{3,5,7}:{(80,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        94:{3,6}:{(82,1),(83,1),(101,1)}
        95:{2,4,7}:{(83,1),(84,1),(88,1),(100,1),(101,1),(103,1)}
        96:{1,5}:{(85,1),(86,1),(102,1)}
        97:{2,6}:{(86,1),(87,1),(102,1),(103,1)}
        98:{1,3,7}:{(87,1),(88,1),(89,1),(101,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{1,6}:{(96,1),(97,1),(104,1)}
       103:{2,7}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 954 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

 955 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

 956 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

 957 :   0:{2,4,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(60,1),(118,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(17,1),(21,1),(40,1),(97,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(86,1),(153,1)}
         3:{2,4,5,6,7}:{(1,1),(7,1),(9,1),(24,1),(35,1),(79,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(129,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(11,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(11,1),(12,1),(28,1),(32,1)}
         7:{3,5,6,7}:{(3,1),(13,1),(54,1),(107,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(21,1),(40,1),(45,1),(54,1),(86,1)}
         9:{2,5,6,7}:{(4,1),(16,1),(17,1),(166,1)}
        10:{3,4,5,7}:{(5,1),(18,1),(19,1),(153,1),(252,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(19,1),(21,1)}
        12:{1,3,5,6,7}:{(6,1),(17,1),(21,1),(22,1),(45,1),(51,1),(54,1)}
        13:{3,4,6,7}:{(7,1),(23,1),(24,1)}
        14:{2,3,5,6,7}:{(7,1),(9,1),(24,1),(25,1),(28,1),(57,1)}
        15:{1,3,4,5,7}:{(8,1),(10,1),(23,1),(26,1),(27,1),(33,1),(58,1),(65,1),(75,1),(114,1),(126,1),(129,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(29,1),(67,1)}
        17:{1,5,6,7}:{(9,1),(29,1),(206,1)}
        18:{3,4,5,6}:{(10,1),(31,1),(194,1),(280,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(33,1),(215,1)}
        20:{2,3,4,6,7}:{(11,1),(28,1),(32,1),(34,1),(64,1),(70,1),(117,1),(128,1),(140,1),(215,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(33,1),(35,1)}
        22:{2,5,6,7}:{(12,1),(35,1),(67,1),(74,1)}
        23:{3,4,5,7}:{(13,1),(37,1),(38,1),(107,1),(290,1)}
        24:{2,4,6,7}:{(13,1),(14,1),(38,1),(40,1)}
        25:{1,3,5,6,7}:{(14,1),(17,1),(40,1),(41,1),(45,1),(83,1),(86,1)}
        26:{1,3,4,5,6}:{(15,1),(18,1),(37,1),(42,1),(49,1),(81,1),(89,1),(100,1),(146,1),(159,1),(167,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(42,1),(43,1),(44,1),(92,1),(163,1),(166,1)}
        28:{2,3,6,7}:{(16,1),(43,1),(45,1),(54,1),(86,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(17,1),(22,1),(41,1),(46,1),(47,1),(94,1),(102,1),(148,1),(166,1),(245,1),(255,1),(293,1)}
        31:{2,4,5,6}:{(18,1),(19,1),(48,1),(49,1),(249,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(48,1),(51,1),(153,1),(166,1)}
        33:{1,4,5,7}:{(19,1),(21,1),(49,1),(51,1),(52,1),(176,1)}
        34:{1,3,4,6,7}:{(20,1),(21,1),(45,1),(51,1),(53,1),(54,1),(91,1),(98,1),(104,1),(105,1),(165,1),(176,1)}
        35:{2,4,6,7}:{(21,1),(22,1),(52,1),(54,1)}
        36:{2,3,5,6,7}:{(22,1),(47,1),(54,1),(55,1),(95,1),(103,1),(107,1),(166,1),(181,1),(227,1),(293,1),(314,1)}
        37:{3,4,5,6}:{(23,1),(56,1),(143,1),(305,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(58,1),(263,1)}
        39:{2,3,4,6,7}:{(24,1),(28,1),(57,1),(59,1),(64,1),(78,1),(109,1),(128,1),(191,1),(263,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(58,1),(60,1)}
        41:{2,5,6,7}:{(25,1),(60,1),(67,1),(113,1)}
        42:{2,4,5,6}:{(26,1),(27,1),(62,1),(63,1),(121,1),(199,1),(207,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(62,1),(64,1),(65,1),(75,1),(114,1)}
        44:{1,4,5,7}:{(27,1),(29,1),(63,1),(65,1),(203,1),(206,1)}
        45:{1,3,6,7}:{(28,1),(29,1),(65,1),(67,1)}
        46:{1,2,4,6,7}:{(29,1),(30,1),(35,1),(60,1),(66,1),(67,1),(68,1),(69,1),(128,1),(277,1),(283,1),(308,1),(311,1)}
        47:{1,3,5,6,7}:{(30,1),(36,1),(61,1),(68,1),(69,1),(127,1),(129,1),(137,1),(188,1),(206,1),(219,1),(267,1)}
        48:{2,3,5,6}:{(31,1),(32,1),(70,1),(71,1),(194,1),(207,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(72,1),(211,1)}
        50:{2,3,4,5,7}:{(32,1),(64,1),(70,1),(73,1),(119,1),(190,1),(204,1),(213,1),(215,1),(281,1),(282,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(71,1),(74,1),(75,1),(206,1)}
        52:{2,4,5,7}:{(33,1),(35,1),(72,1),(74,1),(75,1),(138,1)}
        53:{2,4,6,7}:{(34,1),(67,1),(74,1),(77,1),(123,1),(131,1),(138,1)}
        54:{3,6,7}:{(35,1),(75,1)}
        55:{2,4,6,7}:{(36,1),(69,1),(78,1),(79,1),(138,1),(217,1),(263,1),(308,1)}
        56:{2,4,5,6}:{(37,1),(38,1),(80,1),(81,1),(287,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(80,1),(83,1),(107,1),(166,1)}
        58:{1,4,5,7}:{(38,1),(40,1),(81,1),(83,1),(84,1),(228,1)}
        59:{1,3,4,6,7}:{(39,1),(40,1),(45,1),(83,1),(85,1),(86,1),(91,1),(144,1),(150,1),(151,1),(165,1),(228,1)}
        60:{2,4,6,7}:{(40,1),(41,1),(84,1),(86,1)}
        61:{2,3,5,6,7}:{(41,1),(47,1),(86,1),(87,1),(95,1),(149,1),(153,1),(166,1),(175,1),(233,1),(255,1),(302,1)}
        62:{2,3,5,6}:{(42,1),(43,1),(88,1),(89,1),(100,1),(146,1)}
        63:{1,4,5,6}:{(42,1),(44,1),(89,1),(238,1),(245,1)}
        64:{2,3,4,7}:{(43,1),(88,1),(91,1),(104,1),(150,1),(163,1),(240,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(89,1),(91,1),(92,1)}
        66:{1,2,4,5,7}:{(44,1),(46,1),(52,1),(84,1),(90,1),(92,1),(93,1),(97,1),(102,1),(148,1),(160,1),(163,1),(166,1),(176,1),(228,1),(243,1),(253,1),(291,1),(298,1)}
        67:{2,6,7}:{(45,1),(92,1)}
        68:{1,3,6,7}:{(46,1),(54,1),(86,1),(93,1),(95,1),(299,1),(302,1),(314,1)}
        69:{1,4,6,7}:{(47,1),(55,1),(87,1),(97,1),(176,1),(228,1),(254,1),(292,1)}
        70:{2,3,4,6}:{(48,1),(50,1),(98,1),(230,1),(244,1),(246,1),(249,1),(302,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(98,1),(99,1),(100,1),(245,1)}
        72:{2,4,5,6}:{(49,1),(52,1),(99,1),(100,1),(171,1)}
        73:{1,3,4,5,7}:{(50,1),(51,1),(91,1),(98,1),(101,1),(104,1),(155,1),(172,1),(173,1),(176,1),(243,1),(250,1)}
        74:{2,5,7}:{(51,1),(53,1),(99,1)}
        75:{3,5,7}:{(52,1),(54,1),(100,1),(104,1)}
        76:{1,2,4,6,7}:{(53,1),(94,1),(102,1),(105,1),(160,1),(165,1),(168,1),(176,1),(179,1)}
        77:{2,3,6,7}:{(53,1),(54,1),(103,1),(105,1),(161,1),(169,1)}
        78:{3,4,6,7}:{(54,1),(55,1),(104,1),(107,1),(178,1),(290,1),(314,1)}
        79:{2,4,5,7}:{(55,1),(97,1),(107,1),(108,1),(166,1)}
        80:{2,3,5,6}:{(56,1),(57,1),(109,1),(110,1),(143,1),(207,1)}
        81:{1,4,5,6}:{(56,1),(58,1),(110,1),(111,1),(259,1)}
        82:{2,3,4,5,7}:{(57,1),(64,1),(109,1),(112,1),(119,1),(139,1),(204,1),(261,1),(263,1),(306,1),(307,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(110,1),(113,1),(114,1),(206,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(111,1),(113,1),(114,1),(189,1)}
        85:{2,4,6,7}:{(59,1),(67,1),(113,1),(116,1),(123,1),(182,1),(189,1)}
        86:{3,6,7}:{(60,1),(114,1)}
        87:{2,4,6,7}:{(61,1),(69,1),(117,1),(118,1),(189,1),(215,1),(265,1),(283,1)}
        88:{2,3,4,6}:{(62,1),(64,1),(119,1),(120,1),(134,1),(185,1),(199,1),(270,1)}
        89:{1,3,5,6}:{(62,1),(63,1),(65,1),(120,1),(121,1)}
        90:{1,2,4,5,6}:{(63,1),(66,1),(72,1),(111,1),(121,1),(122,1),(130,1),(132,1),(183,1),(196,1),(199,1),(207,1),(211,1),(259,1),(273,1),(277,1),(281,1),(283,1),(306,1),(308,1),(310,1),(311,1)}
        91:{1,3,4,7}:{(64,1),(65,1),(120,1),(123,1),(201,1),(203,1)}
        92:{2,5,7}:{(65,1),(67,1),(121,1),(123,1)}
        93:{1,3,5,7}:{(66,1),(68,1),(75,1),(114,1),(122,1),(125,1),(126,1),(201,1),(282,1),(307,1)}
        94:{1,2,6,7}:{(67,1),(124,1),(127,1),(311,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(276,1),(311,1)}
        96:{1,3,4,6,7}:{(68,1),(69,1),(78,1),(117,1),(126,1),(128,1),(129,1),(205,1)}
        97:{1,4,5,7}:{(69,1),(79,1),(118,1),(129,1),(130,1),(206,1)}
        98:{1,3,4,6}:{(70,1),(71,1),(73,1),(131,1),(134,1),(208,1),(211,1),(277,1)}
        99:{2,5,6}:{(71,1),(74,1),(131,1)}
       100:{3,5,6}:{(72,1),(75,1),(134,1)}
       101:{2,4,5,7}:{(73,1),(74,1),(123,1),(131,1),(136,1),(138,1),(195,1),(212,1)}
       102:{1,2,5,7}:{(74,1),(76,1),(132,1),(137,1),(206,1),(218,1)}
       103:{2,3,5,7}:{(74,1),(75,1),(77,1),(133,1),(137,1),(138,1)}
       104:{3,4,7}:{(75,1),(134,1),(138,1)}
       105:{1,3,6,7}:{(76,1),(77,1),(137,1),(140,1),(201,1),(208,1)}
       106:{2,3,4,6,7}:{(77,1),(78,1),(128,1),(138,1),(141,1),(142,1),(202,1),(209,1),(217,1),(276,1)}
       107:{3,5,7}:{(78,1),(79,1),(143,1)}
       108:{2,4,5,6}:{(79,1),(130,1),(143,1),(207,1),(217,1),(308,1)}
       109:{2,3,4,6}:{(80,1),(82,1),(144,1),(178,1),(244,1),(284,1),(287,1),(314,1)}
       110:{1,3,5,6}:{(80,1),(81,1),(83,1),(144,1),(145,1),(146,1),(245,1)}
       111:{2,4,5,6}:{(81,1),(84,1),(145,1),(146,1),(223,1)}
       112:{1,3,4,5,7}:{(82,1),(83,1),(91,1),(144,1),(147,1),(150,1),(155,1),(224,1),(225,1),(228,1),(243,1),(288,1)}
       113:{2,5,7}:{(83,1),(85,1),(145,1)}
       114:{3,5,7}:{(84,1),(86,1),(146,1),(150,1)}
       115:{1,2,4,6,7}:{(85,1),(94,1),(148,1),(151,1),(160,1),(165,1),(220,1),(228,1),(231,1)}
       116:{2,3,6,7}:{(85,1),(86,1),(149,1),(151,1),(161,1),(221,1)}
       117:{3,4,6,7}:{(86,1),(87,1),(150,1),(153,1),(230,1),(252,1),(302,1)}
       118:{2,4,5,7}:{(87,1),(97,1),(153,1),(154,1),(166,1)}
       119:{2,3,4,5}:{(88,1),(155,1),(172,1),(224,1),(239,1),(294,1)}
       120:{1,3,4,6}:{(88,1),(89,1),(91,1),(155,1),(156,1),(236,1),(238,1)}
       121:{2,5,6}:{(89,1),(92,1),(156,1)}
       122:{1,3,5,6}:{(90,1),(93,1),(100,1),(146,1),(158,1),(159,1),(236,1),(297,1),(299,1),(301,1),(302,1),(313,1),(314,1)}
       123:{2,4,7}:{(91,1),(92,1),(156,1),(161,1)}
       124:{1,2,5,7}:{(92,1),(94,1),(157,1),(160,1),(162,1),(298,1)}
       125:{2,3,5,7}:{(92,1),(93,1),(95,1),(158,1),(161,1),(162,1),(163,1),(166,1),(240,1),(298,1)}
       126:{1,3,4,7}:{(93,1),(104,1),(150,1),(159,1),(163,1),(176,1),(228,1),(252,1),(290,1)}
       127:{1,3,6,7}:{(94,1),(95,1),(162,1),(165,1),(299,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(163,1),(165,1),(166,1),(244,1)}
       129:{1,3,5,7}:{(96,1),(97,1),(107,1),(153,1),(166,1),(167,1)}
       130:{1,4,5,6}:{(97,1),(108,1),(154,1),(167,1),(245,1),(254,1),(292,1)}
       131:{2,4,6}:{(98,1),(99,1),(101,1),(169,1)}
       132:{1,2,5,6}:{(99,1),(102,1),(168,1),(170,1),(245,1),(255,1),(300,1)}
       133:{2,3,5,6}:{(99,1),(100,1),(103,1),(169,1),(170,1),(171,1),(248,1)}
       134:{3,4,6}:{(100,1),(104,1),(171,1),(172,1)}
       135:{1,2,4,5,7}:{(101,1),(102,1),(160,1),(168,1),(173,1),(176,1),(234,1),(243,1),(250,1),(251,1),(253,1),(298,1),(300,1)}
       136:{2,3,5,7}:{(101,1),(161,1),(169,1),(173,1),(174,1),(235,1),(248,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(105,1),(170,1),(175,1),(176,1)}
       138:{2,4,7}:{(103,1),(104,1),(171,1),(176,1)}
       139:{3,4,5,7}:{(104,1),(107,1),(172,1),(177,1),(178,1)}
       140:{2,3,6,7}:{(105,1),(175,1),(179,1),(240,1),(246,1),(302,1)}
       141:{1,3,4,6,7}:{(105,1),(106,1),(165,1),(176,1),(179,1),(180,1),(241,1),(247,1),(252,1),(254,1),(299,1),(302,1)}
       142:{2,3,5,7}:{(106,1),(107,1),(166,1),(177,1),(180,1),(181,1),(248,1)}
       143:{3,5,6}:{(107,1),(108,1),(178,1),(314,1)}
       144:{1,3,4,6}:{(109,1),(110,1),(112,1),(182,1),(185,1),(256,1),(259,1),(277,1)}
       145:{2,5,6}:{(110,1),(113,1),(182,1)}
       146:{3,5,6}:{(111,1),(114,1),(185,1)}
       147:{2,4,5,7}:{(112,1),(113,1),(123,1),(182,1),(187,1),(189,1),(195,1),(260,1)}
       148:{1,2,5,7}:{(113,1),(115,1),(183,1),(188,1),(206,1),(266,1)}
       149:{2,3,5,7}:{(113,1),(114,1),(116,1),(184,1),(188,1),(189,1)}
       150:{3,4,7}:{(114,1),(185,1),(189,1)}
       151:{1,3,6,7}:{(115,1),(116,1),(188,1),(191,1),(201,1),(256,1)}
       152:{2,3,4,6,7}:{(116,1),(117,1),(128,1),(189,1),(192,1),(193,1),(202,1),(257,1),(265,1),(276,1)}
       153:{3,5,7}:{(117,1),(118,1),(194,1)}
       154:{2,4,5,6}:{(118,1),(130,1),(194,1),(207,1),(265,1),(283,1)}
       155:{1,3,4,5}:{(119,1),(120,1),(195,1),(268,1),(273,1)}
       156:{2,4,6}:{(120,1),(121,1),(123,1),(195,1),(197,1)}
       157:{1,2,5,6}:{(121,1),(124,1),(196,1),(198,1),(310,1),(311,1)}
       158:{2,3,5,6}:{(121,1),(122,1),(125,1),(197,1),(198,1),(199,1),(207,1),(270,1),(272,1),(276,1),(310,1),(311,1)}
       159:{1,3,4,6}:{(122,1),(126,1),(134,1),(185,1),(199,1),(200,1),(211,1),(259,1),(280,1),(305,1)}
       160:{1,2,4,7}:{(123,1),(124,1),(196,1),(201,1),(203,1),(274,1)}
       161:{2,3,7}:{(123,1),(197,1),(201,1)}
       162:{1,3,5,7}:{(124,1),(125,1),(127,1),(198,1),(201,1),(203,1),(206,1)}
       163:{2,4,7}:{(125,1),(126,1),(199,1),(203,1)}
       164:{1,3,4,5,7}:{(126,1),(129,1),(139,1),(190,1),(200,1),(204,1),(205,1),(216,1),(264,1),(275,1),(282,1),(307,1)}
       165:{1,4,6,7}:{(127,1),(128,1),(203,1),(206,1),(277,1)}
       166:{2,5,7}:{(128,1),(129,1),(206,1),(207,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(143,1),(194,1),(205,1),(207,1)}
       168:{1,2,4,6}:{(131,1),(132,1),(135,1),(208,1),(211,1),(277,1),(278,1),(283,1),(311,1)}
       169:{2,3,6}:{(131,1),(136,1),(208,1)}
       170:{1,3,5,6}:{(132,1),(133,1),(137,1),(208,1),(210,1),(211,1),(279,1)}
       171:{2,4,6}:{(133,1),(134,1),(138,1),(211,1),(212,1)}
       172:{3,4,5}:{(134,1),(212,1)}
       173:{1,3,5,7}:{(135,1),(136,1),(201,1),(208,1),(213,1),(214,1),(268,1),(279,1),(282,1)}
       174:{2,3,4,7}:{(136,1),(138,1),(209,1),(214,1),(269,1)}
       175:{2,3,5,7}:{(137,1),(140,1),(210,1),(215,1),(218,1),(282,1)}
       176:{1,4,7}:{(137,1),(138,1),(211,1),(215,1)}
       177:{2,4,5,7}:{(138,1),(139,1),(142,1),(212,1),(216,1),(217,1)}
       178:{3,4,6}:{(139,1),(143,1),(217,1)}
       179:{2,4,6,7}:{(140,1),(141,1),(215,1),(218,1),(274,1),(278,1),(283,1),(311,1)}
       180:{1,3,5,7}:{(141,1),(142,1),(206,1),(216,1),(218,1),(219,1),(279,1),(282,1)}
       181:{2,3,5,6}:{(142,1),(143,1),(207,1),(217,1),(219,1),(276,1)}
       182:{2,4,6}:{(144,1),(145,1),(147,1),(221,1)}
       183:{1,2,5,6}:{(145,1),(148,1),(220,1),(222,1),(245,1),(293,1),(312,1)}
       184:{2,3,5,6}:{(145,1),(146,1),(149,1),(221,1),(222,1),(223,1),(286,1)}
       185:{3,4,6}:{(146,1),(150,1),(223,1),(224,1)}
       186:{1,2,4,5,7}:{(147,1),(148,1),(160,1),(220,1),(225,1),(228,1),(234,1),(243,1),(288,1),(289,1),(291,1),(298,1),(312,1)}
       187:{2,3,5,7}:{(147,1),(161,1),(221,1),(225,1),(226,1),(235,1),(286,1)}
       188:{1,3,5,7}:{(148,1),(149,1),(151,1),(222,1),(227,1),(228,1)}
       189:{2,4,7}:{(149,1),(150,1),(223,1),(228,1)}
       190:{3,4,5,7}:{(150,1),(153,1),(224,1),(229,1),(230,1)}
       191:{2,3,6,7}:{(151,1),(227,1),(231,1),(240,1),(284,1),(314,1)}
       192:{1,3,4,6,7}:{(151,1),(152,1),(165,1),(228,1),(231,1),(232,1),(241,1),(285,1),(290,1),(292,1),(299,1),(314,1)}
       193:{2,3,5,7}:{(152,1),(153,1),(166,1),(229,1),(232,1),(233,1),(286,1)}
       194:{3,5,6}:{(153,1),(154,1),(230,1),(302,1)}
       195:{2,4,5}:{(155,1),(156,1),(235,1)}
       196:{1,2,4,6}:{(156,1),(157,1),(160,1),(234,1),(236,1),(238,1),(296,1)}
       197:{2,3,6}:{(156,1),(161,1),(235,1),(236,1)}
       198:{1,3,5,6}:{(157,1),(158,1),(162,1),(236,1),(238,1),(245,1),(297,1),(299,1)}
       199:{2,4,6}:{(158,1),(159,1),(163,1),(238,1),(239,1)}
       200:{1,3,4,5}:{(159,1),(172,1),(224,1),(239,1),(250,1),(288,1),(297,1),(301,1),(313,1)}
       201:{1,3,7}:{(160,1),(161,1),(236,1),(240,1)}
       202:{2,3,4,7}:{(161,1),(163,1),(237,1),(241,1),(242,1),(252,1),(290,1)}
       203:{1,4,7}:{(162,1),(163,1),(238,1)}
       204:{2,4,5,7}:{(163,1),(164,1),(166,1),(239,1),(242,1),(243,1),(244,1),(298,1)}
       205:{1,3,4,6}:{(164,1),(167,1),(178,1),(230,1),(244,1),(254,1),(292,1),(299,1),(302,1),(314,1)}
       206:{1,5,7}:{(165,1),(166,1),(245,1)}
       207:{2,5,6}:{(166,1),(167,1),(244,1),(245,1)}
       208:{1,3,6}:{(168,1),(169,1),(173,1),(246,1),(302,1)}
       209:{2,3,4,6}:{(169,1),(171,1),(174,1),(247,1),(248,1)}
       210:{2,3,5,6}:{(170,1),(175,1),(246,1),(249,1),(255,1),(300,1),(301,1),(302,1)}
       211:{1,4,6}:{(170,1),(171,1),(176,1),(249,1),(250,1)}
       212:{2,4,5}:{(171,1),(172,1),(248,1),(250,1)}
       213:{2,3,5,7}:{(173,1),(240,1),(246,1),(251,1),(294,1),(298,1),(300,1)}
       214:{1,3,4,7}:{(173,1),(174,1),(176,1),(247,1),(251,1),(252,1),(295,1)}
       215:{2,4,7}:{(175,1),(176,1),(249,1),(252,1)}
       216:{1,4,5,7}:{(176,1),(177,1),(180,1),(250,1),(253,1),(254,1)}
       217:{2,4,6}:{(177,1),(178,1),(181,1),(254,1)}
       218:{2,5,7}:{(179,1),(180,1),(255,1),(300,1)}
       219:{1,3,5,6}:{(180,1),(181,1),(245,1),(254,1),(255,1),(299,1),(302,1)}
       220:{1,2,4,6}:{(182,1),(183,1),(186,1),(256,1),(259,1),(277,1),(303,1),(308,1),(311,1)}
       221:{2,3,6}:{(182,1),(187,1),(256,1)}
       222:{1,3,5,6}:{(183,1),(184,1),(188,1),(256,1),(258,1),(259,1),(304,1)}
       223:{2,4,6}:{(184,1),(185,1),(189,1),(259,1),(260,1)}
       224:{3,4,5}:{(185,1),(260,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(201,1),(256,1),(261,1),(262,1),(268,1),(304,1),(307,1)}
       226:{2,3,4,7}:{(187,1),(189,1),(257,1),(262,1),(269,1)}
       227:{2,3,5,7}:{(188,1),(191,1),(258,1),(263,1),(266,1),(307,1)}
       228:{1,4,7}:{(188,1),(189,1),(259,1),(263,1)}
       229:{2,4,5,7}:{(189,1),(190,1),(193,1),(260,1),(264,1),(265,1)}
       230:{3,4,6}:{(190,1),(194,1),(265,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(263,1),(266,1),(274,1),(303,1),(308,1),(311,1)}
       232:{1,3,5,7}:{(192,1),(193,1),(206,1),(264,1),(266,1),(267,1),(304,1),(307,1)}
       233:{2,3,5,6}:{(193,1),(194,1),(207,1),(265,1),(267,1),(276,1)}
       234:{1,2,4,5}:{(195,1),(196,1),(268,1),(273,1),(309,1),(310,1)}
       235:{2,3,5}:{(195,1),(197,1),(268,1),(269,1)}
       236:{1,3,6}:{(196,1),(197,1),(201,1),(268,1),(270,1)}
       237:{2,3,4,6}:{(197,1),(199,1),(202,1),(269,1),(271,1),(272,1),(276,1),(280,1),(305,1)}
       238:{1,4,6}:{(198,1),(199,1),(203,1),(273,1)}
       239:{2,4,5}:{(199,1),(200,1),(272,1),(273,1),(310,1)}
       240:{2,3,7}:{(201,1),(270,1),(274,1)}
       241:{1,3,4,7}:{(201,1),(202,1),(203,1),(271,1),(274,1),(275,1)}
       242:{2,3,5,7}:{(202,1),(204,1),(272,1),(275,1),(276,1),(282,1),(307,1)}
       243:{1,4,5,7}:{(203,1),(204,1),(206,1),(273,1),(275,1),(277,1)}
       244:{2,4,6}:{(204,1),(205,1),(207,1),(276,1),(277,1),(311,1)}
       245:{1,5,6}:{(206,1),(207,1),(277,1)}
       246:{2,3,6}:{(208,1),(213,1),(278,1),(311,1)}
       247:{1,3,4,6}:{(208,1),(209,1),(211,1),(214,1),(278,1),(279,1),(280,1)}
       248:{2,3,5}:{(209,1),(212,1),(279,1)}
       249:{2,4,6}:{(210,1),(211,1),(215,1),(280,1),(281,1)}
       250:{1,4,5}:{(211,1),(212,1),(279,1),(281,1)}
       251:{2,4,7}:{(213,1),(214,1),(278,1),(309,1)}
       252:{3,4,7}:{(215,1),(280,1),(282,1)}
       253:{2,4,5,7}:{(215,1),(216,1),(218,1),(281,1),(282,1),(283,1)}
       254:{1,4,6}:{(216,1),(217,1),(219,1),(283,1)}
       255:{2,5,6}:{(218,1),(219,1),(283,1),(311,1)}
       256:{1,3,6}:{(220,1),(221,1),(225,1),(284,1),(314,1)}
       257:{2,3,4,6}:{(221,1),(223,1),(226,1),(285,1),(286,1)}
       258:{2,3,5,6}:{(222,1),(227,1),(284,1),(287,1),(293,1),(312,1),(313,1),(314,1)}
       259:{1,4,6}:{(222,1),(223,1),(228,1),(287,1),(288,1)}
       260:{2,4,5}:{(223,1),(224,1),(286,1),(288,1)}
       261:{2,3,5,7}:{(225,1),(240,1),(284,1),(289,1),(294,1),(298,1),(312,1)}
       262:{1,3,4,7}:{(225,1),(226,1),(228,1),(285,1),(289,1),(290,1),(295,1)}
       263:{2,4,7}:{(227,1),(228,1),(287,1),(290,1)}
       264:{1,4,5,7}:{(228,1),(229,1),(232,1),(288,1),(291,1),(292,1)}
       265:{2,4,6}:{(229,1),(230,1),(233,1),(292,1)}
       266:{2,5,7}:{(231,1),(232,1),(293,1),(312,1)}
       267:{1,3,5,6}:{(232,1),(233,1),(245,1),(292,1),(293,1),(299,1),(314,1)}
       268:{1,3,5}:{(234,1),(235,1),(236,1),(294,1),(295,1)}
       269:{2,3,4}:{(235,1),(295,1)}
       270:{2,3,6}:{(236,1),(240,1),(294,1),(296,1)}
       271:{1,3,4,6}:{(236,1),(237,1),(238,1),(241,1),(295,1),(296,1),(297,1),(299,1)}
       272:{2,3,5}:{(237,1),(239,1),(297,1),(301,1),(313,1)}
       273:{1,4,5}:{(238,1),(239,1),(297,1)}
       274:{2,4,7}:{(240,1),(241,1),(296,1),(298,1)}
       275:{1,3,5,7}:{(241,1),(242,1),(243,1),(297,1),(298,1),(299,1)}
       276:{2,3,6}:{(242,1),(244,1),(299,1),(302,1),(314,1)}
       277:{1,4,6}:{(243,1),(244,1),(245,1),(299,1)}
       278:{2,4,6}:{(246,1),(247,1),(251,1),(300,1)}
       279:{1,3,5}:{(247,1),(248,1),(250,1),(300,1),(301,1)}
       280:{3,4,6}:{(249,1),(252,1),(301,1),(302,1)}
       281:{2,4,5}:{(249,1),(250,1),(300,1),(301,1)}
       282:{3,5,7}:{(252,1),(253,1),(301,1),(302,1)}
       283:{2,4,6}:{(253,1),(254,1),(255,1),(302,1)}
       284:{2,3,6}:{(256,1),(261,1),(303,1),(311,1)}
       285:{1,3,4,6}:{(256,1),(257,1),(259,1),(262,1),(303,1),(304,1),(305,1)}
       286:{2,3,5}:{(257,1),(260,1),(304,1)}
       287:{2,4,6}:{(258,1),(259,1),(263,1),(305,1),(306,1)}
       288:{1,4,5}:{(259,1),(260,1),(304,1),(306,1)}
       289:{2,4,7}:{(261,1),(262,1),(303,1),(309,1)}
       290:{3,4,7}:{(263,1),(305,1),(307,1)}
       291:{2,4,5,7}:{(263,1),(264,1),(266,1),(306,1),(307,1),(308,1)}
       292:{1,4,6}:{(264,1),(265,1),(267,1),(308,1)}
       293:{2,5,6}:{(266,1),(267,1),(308,1),(311,1)}
       294:{2,3,5}:{(268,1),(270,1),(309,1),(310,1)}
       295:{1,3,4}:{(268,1),(269,1),(309,1)}
       296:{2,4,6}:{(270,1),(271,1),(274,1),(309,1),(310,1),(311,1)}
       297:{1,3,5}:{(271,1),(272,1),(273,1),(310,1)}
       298:{2,5,7}:{(274,1),(275,1),(310,1),(311,1)}
       299:{1,3,6}:{(275,1),(276,1),(277,1),(311,1)}
       300:{2,5}:{(278,1),(279,1)}
       301:{3,5}:{(280,1),(281,1)}
       302:{3,6}:{(282,1),(283,1)}
       303:{2,4,6}:{(284,1),(285,1),(289,1),(312,1)}
       304:{1,3,5}:{(285,1),(286,1),(288,1),(312,1),(313,1)}
       305:{3,4,6}:{(287,1),(290,1),(313,1),(314,1)}
       306:{2,4,5}:{(287,1),(288,1),(312,1),(313,1)}
       307:{3,5,7}:{(290,1),(291,1),(313,1),(314,1)}
       308:{2,4,6}:{(291,1),(292,1),(293,1),(314,1)}
       309:{2,4}:{(294,1),(295,1)}
       310:{2,5}:{(296,1),(297,1)}
       311:{2,6}:{(298,1),(299,1)}
       312:{2,5}:{(303,1),(304,1)}
       313:{3,5}:{(305,1),(306,1)}
       314:{3,6}:{(307,1),(308,1)}

 958 :   0:{3,4,5,7}:{(2,1),(3,1),(21,1),(63,1),(140,1),(203,1),(304,1),(397,1),(408,1)}
         1:{2,3,4,7}:{(4,1),(5,1),(6,1),(82,1),(96,1),(163,1),(287,1),(365,1),(375,1)}
         2:{2,4,5,7}:{(0,1),(4,1),(7,1),(8,1),(35,1),(40,1),(96,1),(163,1),(264,1)}
         3:{3,4,6}:{(0,1),(8,1),(10,1),(434,1),(445,1)}
         4:{2,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(408,1),(416,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(15,1),(52,1),(64,1),(127,1),(138,1),(236,1),(338,1),(418,1)}
         6:{2,3,4,6}:{(1,1),(13,1),(15,1),(16,1),(59,1),(123,1),(213,1),(221,1),(237,1),(240,1),(317,1),(328,1)}
         7:{1,4,5,7}:{(2,1),(12,1),(17,1),(18,1),(62,1),(68,1),(127,1),(138,1),(225,1)}
         8:{2,4,6}:{(2,1),(3,1),(13,1),(18,1),(20,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(21,1),(73,1),(140,1),(154,1)}
        10:{3,5,6}:{(3,1),(20,1),(21,1),(22,1),(304,1)}
        11:{2,3,4,7}:{(24,1),(25,1),(26,1),(32,1),(90,1),(169,1),(285,1),(367,1),(375,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(7,1),(28,1),(29,1),(34,1),(36,1),(453,1)}
        13:{2,3,6}:{(4,1),(8,1),(29,1),(445,1),(452,1)}
        14:{2,4,7}:{(5,1),(28,1),(32,1),(33,1),(385,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(33,1),(34,1),(88,1),(95,1),(101,1),(174,1),(179,1),(186,1),(189,1),(288,1),(290,1),(376,1)}
        16:{2,3,5}:{(6,1),(34,1),(35,1),(264,1),(364,1),(374,1)}
        17:{2,4,5,7}:{(7,1),(28,1),(36,1),(37,1),(90,1),(99,1),(104,1),(182,1),(185,1),(193,1),(195,1)}
        18:{1,4,6}:{(7,1),(8,1),(29,1),(37,1),(39,1)}
        19:{2,4,6,7}:{(8,1),(9,1),(30,1),(38,1),(40,1),(96,1)}
        20:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(264,1)}
        21:{3,5,7}:{(9,1),(10,1),(40,1),(43,1)}
        22:{4,5,6}:{(10,1),(43,1),(352,1),(434,1)}
        23:{3,4,5,7}:{(44,1),(45,1),(64,1),(115,1),(126,1),(145,1),(220,1),(243,1),(334,1)}
        24:{2,3,5,7}:{(11,1),(44,1),(46,1),(47,1),(50,1),(334,1),(416,1)}
        25:{1,3,4,7}:{(11,1),(46,1),(48,1),(49,1),(52,1),(127,1),(203,1),(218,1),(318,1),(412,1),(418,1)}
        26:{2,3,4,6}:{(11,1),(47,1),(49,1),(50,1),(60,1),(122,1),(133,1),(141,1),(235,1),(319,1),(322,1),(328,1)}
        27:{1,2,4,7}:{(14,1),(48,1),(51,1),(52,1),(53,1),(127,1),(418,1),(420,1)}
        28:{2,5,7}:{(12,1),(14,1),(55,1),(61,1)}
        29:{1,3,6}:{(12,1),(13,1),(18,1),(55,1),(65,1),(482,1)}
        30:{2,3,6,7}:{(13,1),(19,1),(56,1),(58,1),(154,1),(251,1)}
        31:{2,3,5,6}:{(13,1),(16,1),(20,1),(57,1),(58,1),(59,1),(72,1),(153,1),(237,1)}
        32:{2,3,7}:{(14,1),(52,1),(60,1),(236,1)}
        33:{2,4,6}:{(14,1),(15,1),(55,1),(60,1),(61,1),(141,1),(339,1),(340,1)}
        34:{1,3,5}:{(15,1),(16,1),(61,1),(62,1),(142,1),(145,1),(225,1),(417,1)}
        35:{2,4,5}:{(16,1),(59,1),(62,1),(63,1),(221,1)}
        36:{3,5,7}:{(17,1),(64,1),(65,1),(142,1),(145,1),(236,1)}
        37:{2,4,6}:{(17,1),(18,1),(55,1),(65,1),(67,1),(147,1)}
        38:{1,4,6,7}:{(18,1),(19,1),(56,1),(66,1),(68,1),(138,1)}
        39:{1,5,6}:{(18,1),(20,1),(67,1),(68,1),(225,1)}
        40:{2,5,7}:{(19,1),(20,1),(21,1),(68,1)}
        41:{2,4,5,6}:{(20,1),(22,1),(59,1),(69,1),(71,1),(72,1),(153,1),(315,1),(348,1),(407,1),(489,1),(527,1)}
        42:{3,5,6,7}:{(21,1),(70,1),(73,1),(154,1),(396,1),(492,1)}
        43:{4,5,7}:{(21,1),(22,1),(73,1)}
        44:{2,4,5,7}:{(23,1),(24,1),(74,1),(75,1),(85,1),(90,1),(159,1),(169,1),(182,1)}
        45:{3,4,6}:{(23,1),(75,1),(77,1),(292,1),(380,1)}
        46:{1,3,5,7}:{(24,1),(25,1),(74,1),(78,1),(79,1),(84,1),(155,1),(453,1)}
        47:{2,3,6}:{(24,1),(75,1),(79,1),(380,1),(452,1)}
        48:{2,4,7}:{(25,1),(78,1),(82,1),(83,1),(450,1)}
        49:{1,3,4,6}:{(25,1),(26,1),(79,1),(83,1),(84,1),(88,1),(168,1),(174,1),(179,1),(253,1),(268,1),(271,1),(368,1),(370,1),(376,1)}
        50:{2,3,5}:{(26,1),(84,1),(85,1),(182,1),(284,1),(374,1)}
        51:{1,2,5,7}:{(27,1),(28,1),(78,1),(86,1),(87,1),(89,1),(453,1)}
        52:{1,3,7}:{(27,1),(32,1),(82,1),(88,1)}
        53:{1,2,4,6}:{(27,1),(33,1),(83,1),(87,1),(88,1),(89,1),(174,1),(179,1),(376,1),(378,1),(379,1)}
        54:{2,3,5,7}:{(28,1),(32,1),(36,1),(86,1),(90,1),(91,1),(98,1),(182,1)}
        55:{2,6}:{(28,1),(29,1)}
        56:{1,3,6,7}:{(29,1),(30,1),(38,1),(92,1),(94,1),(102,1),(302,1)}
        57:{1,3,5,6}:{(29,1),(31,1),(34,1),(39,1),(93,1),(94,1),(95,1),(103,1),(186,1),(202,1),(288,1)}
        58:{2,3,5,7}:{(30,1),(31,1),(40,1),(94,1),(96,1),(110,1),(201,1),(287,1)}
        59:{2,4,6}:{(31,1),(35,1),(95,1),(96,1),(97,1)}
        60:{2,3,6}:{(32,1),(33,1),(88,1),(98,1),(186,1),(386,1)}
        61:{2,5}:{(33,1),(34,1)}
        62:{1,4,5}:{(34,1),(35,1),(95,1),(99,1),(179,1),(193,1)}
        63:{3,4,5}:{(35,1),(97,1),(271,1),(364,1),(539,1)}
        64:{3,4,7}:{(36,1),(90,1),(101,1),(189,1),(195,1)}
        65:{3,6}:{(36,1),(37,1)}
        66:{2,4,6,7}:{(37,1),(38,1),(92,1),(102,1),(104,1),(185,1),(195,1)}
        67:{2,5,6}:{(37,1),(39,1),(103,1),(104,1),(182,1)}
        68:{1,5,7}:{(38,1),(39,1),(40,1),(104,1)}
        69:{1,4,5,6}:{(39,1),(41,1),(95,1),(105,1),(107,1),(108,1),(202,1),(275,1),(298,1),(372,1),(461,1)}
        70:{2,5,6,7}:{(40,1),(42,1),(106,1),(109,1),(362,1),(465,1)}
        71:{2,4,5,7}:{(40,1),(41,1),(43,1),(96,1),(107,1),(109,1),(110,1),(201,1),(393,1),(465,1),(513,1)}
        72:{3,5,6}:{(41,1),(97,1),(110,1),(364,1),(394,1),(445,1)}
        73:{4,6,7}:{(42,1),(43,1),(434,1),(513,1)}
        74:{1,4,5,7}:{(44,1),(46,1),(111,1),(112,1),(125,1),(127,1),(207,1),(218,1),(225,1)}
        75:{2,4,6}:{(44,1),(45,1),(47,1),(112,1),(114,1)}
        76:{3,4,6,7}:{(45,1),(113,1),(115,1),(212,1),(220,1),(313,1)}
        77:{3,5,6}:{(45,1),(114,1),(115,1),(116,1),(145,1)}
        78:{2,5,7}:{(46,1),(48,1),(118,1),(124,1)}
        79:{1,3,6}:{(46,1),(47,1),(112,1),(118,1),(204,1),(482,1)}
        80:{2,3,6,7}:{(47,1),(113,1),(119,1),(121,1),(313,1),(405,1)}
        81:{2,3,5,6}:{(47,1),(50,1),(114,1),(120,1),(121,1),(122,1),(211,1),(312,1),(319,1)}
        82:{2,3,7}:{(48,1),(52,1),(123,1),(318,1)}
        83:{2,4,6}:{(48,1),(49,1),(118,1),(123,1),(124,1),(221,1),(413,1),(414,1)}
        84:{1,3,5}:{(49,1),(50,1),(124,1),(125,1),(222,1),(225,1),(304,1),(417,1)}
        85:{2,4,5}:{(50,1),(122,1),(125,1),(126,1),(141,1)}
        86:{1,3,5,7}:{(51,1),(52,1),(54,1),(117,1),(127,1),(128,1),(131,1),(225,1)}
        87:{1,2,6}:{(51,1),(55,1),(118,1),(128,1),(482,1)}
        88:{1,3,6}:{(52,1),(53,1),(60,1),(123,1),(131,1),(421,1)}
        89:{1,2,5}:{(53,1),(61,1),(124,1),(131,1),(225,1),(417,1)}
        90:{2,4,7}:{(54,1),(64,1),(127,1),(133,1),(141,1)}
        91:{2,3,6}:{(54,1),(55,1),(65,1),(128,1),(133,1)}
        92:{2,6,7}:{(55,1),(56,1),(136,1)}
        93:{2,5,6}:{(55,1),(57,1),(61,1),(136,1),(137,1),(339,1)}
        94:{1,3,5,7}:{(56,1),(57,1),(58,1),(68,1),(136,1),(138,1),(146,1),(236,1),(252,1),(338,1)}
        95:{1,4,6}:{(57,1),(59,1),(62,1),(137,1),(138,1),(147,1)}
        96:{2,4,7}:{(58,1),(59,1),(138,1),(140,1)}
        97:{3,4,6}:{(59,1),(63,1),(72,1),(140,1),(527,1)}
        98:{2,3,5}:{(60,1),(61,1),(131,1),(141,1),(142,1)}
        99:{2,4,5}:{(61,1),(62,1),(137,1),(141,1),(142,1)}
       100:{1,3,4,5}:{(62,1),(63,1),(139,1),(142,1),(143,1),(230,1),(241,1),(244,1),(326,1),(344,1),(430,1)}
       101:{3,4,6}:{(64,1),(65,1),(133,1),(145,1),(147,1)}
       102:{3,6,7}:{(65,1),(66,1),(146,1),(236,1)}
       103:{3,5,6}:{(65,1),(67,1),(145,1),(146,1),(147,1)}
       104:{2,5,7}:{(66,1),(67,1),(68,1),(146,1)}
       105:{2,4,5,6}:{(67,1),(69,1),(137,1),(147,1),(149,1),(150,1),(153,1),(233,1),(247,1),(333,1),(341,1),(427,1)}
       106:{1,5,6,7}:{(68,1),(70,1),(148,1),(151,1),(324,1),(431,1)}
       107:{1,4,5,7}:{(68,1),(69,1),(71,1),(138,1),(149,1),(151,1),(152,1),(252,1),(347,1),(431,1)}
       108:{1,3,5,6}:{(69,1),(72,1),(139,1),(150,1),(152,1),(153,1),(326,1),(415,1)}
       109:{2,4,6,7}:{(70,1),(71,1),(73,1),(151,1),(154,1),(251,1),(407,1)}
       110:{3,5,7}:{(71,1),(72,1),(140,1),(154,1),(433,1)}
       111:{2,4,5,7}:{(74,1),(78,1),(155,1),(156,1),(163,1),(172,1),(256,1),(264,1),(267,1),(352,1),(354,1)}
       112:{1,4,6}:{(74,1),(75,1),(79,1),(156,1),(158,1)}
       113:{2,4,6,7}:{(75,1),(76,1),(80,1),(157,1),(159,1),(169,1)}
       114:{2,5,6}:{(75,1),(77,1),(158,1),(159,1),(182,1)}
       115:{3,5,7}:{(76,1),(77,1),(159,1),(162,1)}
       116:{4,5,6}:{(77,1),(162,1),(193,1),(292,1)}
       117:{2,3,5,7}:{(78,1),(82,1),(86,1),(155,1),(163,1),(164,1),(171,1),(264,1)}
       118:{2,6}:{(78,1),(79,1)}
       119:{1,3,6,7}:{(79,1),(80,1),(157,1),(165,1),(167,1),(254,1),(444,1)}
       120:{1,3,5,6}:{(79,1),(81,1),(84,1),(158,1),(166,1),(167,1),(168,1),(255,1),(268,1),(361,1),(368,1)}
       121:{2,3,5,7}:{(80,1),(81,1),(159,1),(167,1),(169,1),(262,1),(360,1),(367,1)}
       122:{2,4,6}:{(81,1),(85,1),(168,1),(169,1),(170,1)}
       123:{2,3,6}:{(82,1),(83,1),(88,1),(171,1),(268,1),(451,1)}
       124:{2,5}:{(83,1),(84,1)}
       125:{1,4,5}:{(84,1),(85,1),(168,1),(172,1),(179,1),(352,1)}
       126:{3,4,5}:{(85,1),(170,1),(189,1),(284,1),(552,1)}
       127:{1,4,7}:{(86,1),(90,1),(163,1),(174,1),(179,1)}
       128:{1,3,6}:{(86,1),(87,1),(91,1),(164,1),(174,1)}
       129:{1,2,6,7}:{(87,1),(92,1),(165,1),(175,1),(177,1),(302,1),(395,1),(444,1),(452,1),(501,1),(506,1)}
       130:{1,2,5,6}:{(87,1),(89,1),(93,1),(166,1),(176,1),(177,1),(178,1),(202,1),(301,1),(361,1),(374,1),(378,1),(443,1),(452,1),(454,1),(506,1)}
       131:{1,3,5}:{(88,1),(89,1),(98,1),(171,1),(179,1)}
       132:{1,2,4,5}:{(89,1),(99,1),(172,1),(178,1),(179,1),(180,1),(191,1),(273,1),(275,1),(280,1),(291,1),(371,1),(374,1),(379,1),(390,1),(454,1),(496,1),(508,1)}
       133:{2,4,6}:{(90,1),(91,1),(101,1),(174,1),(182,1)}
       134:{2,3,6,7}:{(91,1),(92,1),(102,1),(175,1),(181,1),(183,1),(380,1),(452,1),(501,1),(534,1),(535,1)}
       135:{2,3,5,6}:{(91,1),(93,1),(98,1),(103,1),(176,1),(182,1),(183,1),(184,1),(186,1),(279,1),(282,1),(284,1),(374,1),(380,1),(443,1),(452,1),(500,1),(504,1),(535,1),(546,1),(549,1)}
       136:{2,5,7}:{(92,1),(93,1),(94,1),(185,1),(385,1)}
       137:{2,4,6}:{(93,1),(95,1),(99,1),(185,1),(186,1)}
       138:{1,4,7}:{(94,1),(95,1),(96,1),(185,1),(195,1)}
       139:{1,3,4,6}:{(95,1),(97,1),(100,1),(108,1),(186,1),(187,1),(188,1),(196,1),(288,1),(298,1),(394,1)}
       140:{3,4,7}:{(96,1),(97,1),(110,1),(513,1)}
       141:{2,4}:{(98,1),(179,1),(189,1)}
       142:{3,5}:{(99,1),(186,1),(189,1)}
       143:{2,4,5}:{(100,1),(188,1),(190,1),(191,1),(280,1),(291,1),(374,1)}
       144:{3,4,6,7}:{(101,1),(102,1),(181,1),(192,1),(195,1),(285,1),(292,1),(380,1),(534,1),(547,1),(548,1)}
       145:{3,5}:{(101,1),(182,1),(193,1)}
       146:{3,5,7}:{(102,1),(103,1),(104,1),(195,1)}
       147:{4,6}:{(103,1),(193,1),(195,1)}
       148:{2,5,6,7}:{(104,1),(106,1),(194,1),(197,1),(282,1),(391,1)}
       149:{2,4,5,7}:{(104,1),(105,1),(107,1),(185,1),(195,1),(197,1),(198,1),(201,1),(295,1),(297,1),(391,1)}
       150:{3,5,6}:{(105,1),(186,1),(196,1),(198,1),(284,1),(380,1)}
       151:{1,4,6,7}:{(106,1),(107,1),(109,1),(197,1),(200,1),(302,1),(372,1)}
       152:{1,3,5,7}:{(107,1),(108,1),(110,1),(187,1),(198,1),(200,1),(201,1)}
       153:{2,5,6}:{(108,1),(188,1),(201,1),(202,1),(374,1),(452,1)}
       154:{3,6,7}:{(109,1),(110,1),(445,1)}
       155:{3,5,7}:{(111,1),(203,1),(204,1),(222,1),(304,1),(318,1)}
       156:{2,4,6}:{(111,1),(112,1),(118,1),(204,1),(206,1),(306,1)}
       157:{1,4,6,7}:{(112,1),(113,1),(119,1),(205,1),(207,1),(218,1)}
       158:{1,5,6}:{(112,1),(114,1),(206,1),(207,1),(225,1)}
       159:{2,5,7}:{(113,1),(114,1),(115,1),(207,1)}
       160:{2,4,5,6}:{(114,1),(116,1),(122,1),(208,1),(210,1),(211,1),(233,1),(312,1),(333,1),(474,1),(540,1),(550,1)}
       161:{3,5,6,7}:{(115,1),(209,1),(212,1),(242,1),(313,1),(543,1)}
       162:{4,5,7}:{(115,1),(116,1),(212,1)}
       163:{2,4,7}:{(117,1),(127,1),(203,1),(213,1),(221,1)}
       164:{2,3,6}:{(117,1),(118,1),(128,1),(204,1),(213,1)}
       165:{2,6,7}:{(118,1),(119,1),(216,1)}
       166:{2,5,6}:{(118,1),(120,1),(124,1),(216,1),(217,1),(413,1)}
       167:{1,3,5,7}:{(119,1),(120,1),(121,1),(207,1),(216,1),(218,1),(305,1),(318,1),(406,1),(412,1)}
       168:{1,4,6}:{(120,1),(122,1),(125,1),(217,1),(218,1),(306,1)}
       169:{2,4,7}:{(121,1),(122,1),(218,1),(220,1)}
       170:{3,4,6}:{(122,1),(126,1),(211,1),(220,1),(550,1)}
       171:{2,3,5}:{(123,1),(124,1),(131,1),(221,1),(222,1)}
       172:{2,4,5}:{(124,1),(125,1),(217,1),(221,1),(222,1)}
       173:{1,3,4,5}:{(125,1),(126,1),(219,1),(222,1),(223,1),(230,1),(323,1),(326,1),(398,1),(470,1),(517,1)}
       174:{1,4,6}:{(127,1),(128,1),(133,1),(213,1),(225,1)}
       175:{1,3,6,7}:{(128,1),(129,1),(134,1),(214,1),(224,1),(226,1),(415,1),(482,1),(524,1)}
       176:{1,3,5,6}:{(128,1),(130,1),(131,1),(135,1),(215,1),(225,1),(226,1),(227,1),(229,1),(324,1),(326,1),(330,1),(415,1),(417,1),(482,1),(484,1),(524,1),(545,1)}
       177:{1,2,5,7}:{(129,1),(130,1),(136,1),(216,1),(226,1),(228,1),(252,1),(350,1),(406,1),(416,1),(420,1),(476,1)}
       178:{1,2,4,6}:{(130,1),(132,1),(137,1),(217,1),(227,1),(228,1),(229,1),(239,1),(321,1),(328,1),(339,1),(348,1),(413,1),(474,1)}
       179:{1,4}:{(131,1),(141,1),(221,1)}
       180:{1,3,5}:{(132,1),(142,1),(222,1),(229,1),(230,1),(231,1),(421,1),(430,1),(517,1)}
       181:{2,4,6,7}:{(133,1),(134,1),(144,1),(224,1),(232,1),(234,1),(333,1),(544,1)}
       182:{2,5}:{(133,1),(145,1),(225,1)}
       183:{2,3,5,7}:{(134,1),(135,1),(136,1),(146,1),(226,1),(232,1),(234,1),(236,1),(329,1),(334,1),(416,1),(476,1),(520,1),(543,1)}
       184:{2,4,6}:{(135,1),(141,1),(147,1),(227,1),(233,1),(234,1),(235,1),(523,1),(550,1)}
       185:{2,4,7}:{(136,1),(137,1),(138,1),(236,1)}
       186:{3,6}:{(137,1),(142,1),(236,1)}
       187:{1,3,4,7}:{(138,1),(139,1),(140,1),(152,1),(236,1),(238,1),(246,1),(338,1),(347,1),(433,1)}
       188:{2,4,6}:{(139,1),(143,1),(153,1),(237,1),(238,1),(239,1),(339,1)}
       189:{3,4}:{(141,1),(142,1)}
       190:{2,3,5}:{(142,1),(143,1),(237,1),(240,1),(241,1),(430,1)}
       191:{1,4,5}:{(143,1),(239,1),(241,1),(331,1),(417,1)}
       192:{3,5,7}:{(144,1),(145,1),(232,1),(242,1),(243,1),(551,1)}
       193:{4,5}:{(145,1),(147,1)}
       194:{3,5,6,7}:{(146,1),(148,1),(242,1),(245,1),(248,1),(345,1)}
       195:{4,7}:{(146,1),(147,1)}
       196:{3,4,6}:{(147,1),(150,1),(244,1),(246,1),(247,1)}
       197:{2,4,6,7}:{(148,1),(149,1),(151,1),(245,1),(248,1),(251,1),(333,1)}
       198:{3,5,7}:{(149,1),(150,1),(236,1),(246,1),(248,1)}
       199:{2,3,5,6}:{(150,1),(153,1),(237,1),(247,1),(249,1),(250,1),(335,1),(422,1),(427,1)}
       200:{1,3,6,7}:{(151,1),(152,1),(154,1),(248,1),(251,1),(415,1)}
       201:{2,5,7}:{(152,1),(153,1),(238,1),(251,1),(252,1)}
       202:{1,5,6}:{(153,1),(239,1),(252,1),(417,1),(482,1)}
       203:{3,4,7}:{(155,1),(163,1),(253,1),(271,1),(354,1)}
       204:{3,6}:{(155,1),(156,1)}
       205:{2,4,6,7}:{(156,1),(157,1),(165,1),(254,1),(256,1),(267,1),(354,1)}
       206:{2,5,6}:{(156,1),(158,1),(255,1),(256,1),(264,1)}
       207:{1,5,7}:{(157,1),(158,1),(159,1),(256,1)}
       208:{1,4,5,6}:{(158,1),(160,1),(168,1),(257,1),(259,1),(260,1),(275,1),(361,1),(372,1),(440,1),(529,1)}
       209:{2,5,6,7}:{(159,1),(161,1),(258,1),(261,1),(282,1),(533,1)}
       210:{2,4,5,7}:{(159,1),(160,1),(162,1),(169,1),(259,1),(261,1),(262,1),(360,1),(499,1),(533,1),(548,1)}
       211:{3,5,6}:{(160,1),(170,1),(262,1),(284,1),(380,1),(500,1)}
       212:{4,6,7}:{(161,1),(162,1),(292,1),(548,1)}
       213:{2,4,6}:{(163,1),(164,1),(174,1),(253,1),(264,1)}
       214:{2,3,6,7}:{(164,1),(165,1),(175,1),(254,1),(263,1),(265,1),(395,1),(445,1),(452,1),(466,1),(509,1)}
       215:{2,3,5,6}:{(164,1),(166,1),(171,1),(176,1),(255,1),(264,1),(265,1),(266,1),(268,1),(279,1),(301,1),(362,1),(364,1),(374,1),(394,1),(445,1),(452,1),(459,1),(509,1),(511,1),(538,1)}
       216:{2,5,7}:{(165,1),(166,1),(167,1),(267,1),(450,1)}
       217:{2,4,6}:{(166,1),(168,1),(172,1),(267,1),(268,1)}
       218:{1,4,7}:{(167,1),(168,1),(169,1),(267,1),(354,1)}
       219:{1,3,4,6}:{(168,1),(170,1),(173,1),(260,1),(268,1),(269,1),(270,1),(355,1),(368,1),(440,1),(500,1)}
       220:{3,4,7}:{(169,1),(170,1),(262,1),(548,1)}
       221:{2,4}:{(171,1),(179,1),(271,1)}
       222:{3,5}:{(172,1),(268,1),(271,1)}
       223:{2,4,5}:{(173,1),(270,1),(272,1),(273,1),(280,1),(371,1),(374,1)}
       224:{1,4,6,7}:{(174,1),(175,1),(181,1),(263,1),(274,1),(276,1),(372,1),(537,1)}
       225:{1,5}:{(174,1),(182,1),(264,1)}
       226:{1,3,5,7}:{(175,1),(176,1),(177,1),(183,1),(265,1),(274,1),(276,1),(278,1),(377,1),(453,1)}
       227:{1,4,6}:{(176,1),(179,1),(184,1),(266,1),(275,1),(276,1),(508,1)}
       228:{1,2,4,7}:{(177,1),(178,1),(185,1),(267,1),(276,1),(278,1),(289,1),(369,1),(375,1),(385,1),(393,1),(450,1),(499,1)}
       229:{1,3,6}:{(178,1),(180,1),(186,1),(268,1),(278,1),(279,1),(394,1),(500,1)}
       230:{1,3,4}:{(179,1),(180,1),(189,1),(271,1),(280,1),(464,1),(508,1),(532,1)}
       231:{2,3,5}:{(180,1),(279,1),(280,1),(281,1),(291,1),(371,1),(374,1),(386,1),(451,1)}
       232:{2,5,7}:{(181,1),(182,1),(192,1),(274,1),(282,1),(549,1)}
       233:{2,4,5}:{(182,1),(184,1),(193,1),(275,1),(284,1),(374,1),(549,1),(552,1)}
       234:{2,4,7}:{(183,1),(184,1),(195,1),(276,1),(285,1),(548,1)}
       235:{3,4,6}:{(184,1),(186,1),(189,1),(284,1),(285,1),(380,1),(500,1),(532,1)}
       236:{3,7}:{(185,1),(186,1)}
       237:{2,3,6}:{(186,1),(188,1),(190,1),(287,1),(288,1),(394,1)}
       238:{2,4,7}:{(187,1),(188,1),(201,1),(287,1),(289,1),(385,1)}
       239:{1,4,6}:{(188,1),(191,1),(202,1),(288,1),(289,1)}
       240:{2,3,4}:{(189,1),(190,1),(280,1),(290,1),(451,1),(464,1)}
       241:{1,3,5}:{(190,1),(191,1),(288,1),(290,1),(291,1)}
       242:{3,5,6}:{(192,1),(282,1),(292,1),(380,1)}
       243:{4,5,7}:{(192,1),(193,1),(195,1),(292,1),(548,1),(552,1)}
       244:{3,4,5}:{(193,1),(196,1),(284,1),(294,1),(532,1)}
       245:{4,6,7}:{(194,1),(195,1),(292,1),(295,1)}
       246:{3,4,7}:{(195,1),(196,1),(198,1),(297,1)}
       247:{2,4,6}:{(196,1),(199,1),(294,1),(297,1),(298,1)}
       248:{3,6,7}:{(197,1),(198,1),(380,1)}
       249:{2,3,5,7}:{(198,1),(199,1),(201,1),(287,1),(297,1),(299,1),(300,1),(391,1)}
       250:{1,3,5,6}:{(199,1),(202,1),(288,1),(298,1),(300,1),(301,1),(382,1),(394,1),(457,1),(461,1),(511,1)}
       251:{2,6,7}:{(200,1),(201,1),(302,1),(452,1)}
       252:{1,5,7}:{(201,1),(202,1),(289,1),(302,1)}
       253:{3,4,6}:{(203,1),(204,1),(213,1),(304,1),(306,1)}
       254:{3,6,7}:{(204,1),(205,1),(305,1),(318,1)}
       255:{3,5,6}:{(204,1),(206,1),(304,1),(305,1),(306,1)}
       256:{2,5,7}:{(205,1),(206,1),(207,1),(305,1)}
       257:{2,4,5,6}:{(206,1),(208,1),(217,1),(306,1),(308,1),(309,1),(312,1),(315,1),(401,1),(407,1),(467,1),(514,1)}
       258:{1,5,6,7}:{(207,1),(209,1),(307,1),(310,1),(324,1),(518,1)}
       259:{1,4,5,7}:{(207,1),(208,1),(210,1),(218,1),(308,1),(310,1),(311,1),(406,1),(473,1),(518,1)}
       260:{1,3,5,6}:{(208,1),(211,1),(219,1),(309,1),(311,1),(312,1),(326,1),(415,1)}
       261:{2,4,6,7}:{(209,1),(210,1),(212,1),(310,1),(313,1),(333,1),(405,1)}
       262:{3,5,7}:{(210,1),(211,1),(220,1),(313,1),(520,1)}
       263:{2,4,6,7}:{(213,1),(214,1),(224,1),(303,1),(314,1),(316,1),(407,1),(526,1)}
       264:{2,5}:{(213,1),(225,1),(304,1)}
       265:{2,3,5,7}:{(214,1),(215,1),(216,1),(226,1),(305,1),(314,1),(316,1),(318,1),(329,1),(350,1),(408,1),(416,1),(433,1),(492,1)}
       266:{2,4,6}:{(215,1),(221,1),(227,1),(306,1),(315,1),(316,1),(317,1),(488,1),(527,1)}
       267:{2,4,7}:{(216,1),(217,1),(218,1),(318,1)}
       268:{3,6}:{(217,1),(222,1),(318,1)}
       269:{1,3,4,7}:{(218,1),(219,1),(220,1),(311,1),(318,1),(320,1),(400,1),(412,1),(473,1),(520,1)}
       270:{2,4,6}:{(219,1),(223,1),(312,1),(319,1),(320,1),(321,1),(413,1)}
       271:{3,4}:{(221,1),(222,1)}
       272:{2,3,5}:{(222,1),(223,1),(319,1),(322,1),(323,1),(517,1)}
       273:{1,4,5}:{(223,1),(321,1),(323,1),(331,1),(417,1)}
       274:{1,5,7}:{(224,1),(225,1),(232,1),(314,1),(324,1),(545,1)}
       275:{1,4,5}:{(225,1),(227,1),(233,1),(315,1),(326,1),(417,1),(545,1)}
       276:{1,4,7}:{(226,1),(227,1),(234,1),(316,1)}
       277:{1,3,4,6}:{(227,1),(229,1),(230,1),(235,1),(317,1),(326,1),(327,1),(328,1),(415,1)}
       278:{1,3,7}:{(228,1),(229,1),(236,1),(318,1),(329,1),(433,1),(520,1)}
       279:{2,3,6}:{(229,1),(231,1),(328,1),(329,1),(330,1),(339,1),(413,1)}
       280:{2,4}:{(230,1),(231,1),(331,1)}
       281:{1,3,5}:{(231,1),(330,1),(331,1),(332,1),(417,1),(421,1)}
       282:{2,5,6}:{(232,1),(242,1),(324,1),(333,1)}
       283:{2,4,5,7}:{(232,1),(233,1),(234,1),(243,1),(325,1),(333,1),(334,1),(416,1)}
       284:{3,5}:{(233,1),(235,1)}
       285:{3,4,7}:{(234,1),(235,1),(236,1),(334,1),(520,1)}
       286:{2,3,4,6}:{(235,1),(237,1),(240,1),(247,1),(328,1),(335,1),(336,1),(337,1),(422,1),(481,1),(523,1),(544,1)}
       287:{2,3,7}:{(236,1),(237,1),(238,1),(338,1),(433,1)}
       288:{1,3,6}:{(237,1),(239,1),(241,1),(338,1),(339,1)}
       289:{1,4,7}:{(238,1),(239,1),(252,1),(338,1)}
       290:{1,3,4}:{(240,1),(241,1),(331,1),(340,1),(421,1)}
       291:{2,5}:{(241,1),(339,1),(340,1)}
       292:{4,6}:{(242,1),(243,1)}
       293:{3,4,5,7}:{(243,1),(244,1),(246,1),(334,1),(342,1),(343,1),(345,1),(542,1),(551,1)}
       294:{2,4,5}:{(244,1),(247,1),(335,1),(344,1),(523,1)}
       295:{4,5,7}:{(245,1),(341,1),(345,1)}
       296:{3,4,6,7}:{(245,1),(246,1),(248,1),(342,1),(345,1),(346,1)}
       297:{2,4,7}:{(246,1),(247,1),(249,1),(347,1)}
       298:{1,4,6}:{(247,1),(250,1),(344,1),(347,1),(348,1),(527,1)}
       299:{2,3,6,7}:{(248,1),(249,1),(251,1),(346,1),(349,1),(422,1)}
       300:{1,3,5,7}:{(249,1),(250,1),(252,1),(338,1),(347,1),(349,1),(350,1),(431,1),(433,1),(492,1)}
       301:{2,5,6}:{(250,1),(339,1),(348,1),(350,1),(424,1),(486,1)}
       302:{1,6,7}:{(251,1),(252,1),(482,1)}
       303:{3,4,6,7}:{(253,1),(254,1),(263,1),(351,1),(354,1),(365,1),(434,1),(445,1),(466,1),(512,1),(513,1)}
       304:{3,5}:{(253,1),(264,1),(352,1)}
       305:{3,5,7}:{(254,1),(255,1),(256,1),(354,1)}
       306:{4,6}:{(255,1),(352,1),(354,1)}
       307:{2,5,6,7}:{(256,1),(258,1),(353,1),(356,1),(362,1),(497,1)}
       308:{2,4,5,7}:{(256,1),(257,1),(259,1),(267,1),(354,1),(356,1),(357,1),(360,1),(437,1),(439,1),(497,1)}
       309:{3,5,6}:{(257,1),(268,1),(355,1),(357,1),(364,1),(445,1)}
       310:{1,4,6,7}:{(258,1),(259,1),(261,1),(356,1),(359,1),(372,1),(444,1)}
       311:{1,3,5,7}:{(259,1),(260,1),(262,1),(269,1),(357,1),(359,1),(360,1)}
       312:{2,5,6}:{(260,1),(270,1),(360,1),(361,1),(374,1),(452,1)}
       313:{3,6,7}:{(261,1),(262,1),(380,1)}
       314:{2,5,7}:{(263,1),(264,1),(274,1),(351,1),(362,1),(538,1)}
       315:{2,4,5}:{(264,1),(266,1),(275,1),(352,1),(364,1),(374,1),(538,1),(539,1)}
       316:{2,4,7}:{(265,1),(266,1),(276,1),(354,1),(365,1),(513,1)}
       317:{3,4,6}:{(266,1),(268,1),(271,1),(364,1),(365,1),(394,1),(445,1),(464,1)}
       318:{3,7}:{(267,1),(268,1)}
       319:{2,3,6}:{(268,1),(270,1),(272,1),(367,1),(368,1),(500,1)}
       320:{2,4,7}:{(269,1),(270,1),(360,1),(367,1),(369,1),(450,1)}
       321:{1,4,6}:{(270,1),(273,1),(361,1),(368,1),(369,1)}
       322:{2,3,4}:{(271,1),(272,1),(280,1),(370,1),(386,1),(532,1)}
       323:{1,3,5}:{(272,1),(273,1),(368,1),(370,1),(371,1)}
       324:{1,5,6}:{(274,1),(282,1),(362,1),(372,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(276,1),(283,1),(363,1),(372,1),(373,1),(453,1)}
       326:{1,3,5}:{(275,1),(277,1),(284,1),(364,1),(374,1)}
       327:{1,3,4,7}:{(276,1),(277,1),(278,1),(285,1),(365,1),(373,1),(375,1)}
       328:{2,4,6}:{(277,1),(279,1),(280,1),(374,1),(375,1),(376,1),(452,1)}
       329:{2,3,7}:{(278,1),(279,1),(375,1),(377,1),(385,1),(450,1)}
       330:{1,3,6}:{(279,1),(281,1),(376,1),(377,1),(378,1)}
       331:{1,4}:{(280,1),(281,1)}
       332:{1,2,5}:{(281,1),(291,1),(371,1),(378,1),(379,1)}
       333:{2,4,6}:{(282,1),(283,1),(292,1),(372,1),(380,1),(452,1)}
       334:{3,5,7}:{(283,1),(284,1),(285,1),(380,1)}
       335:{2,3,5}:{(284,1),(286,1),(294,1),(374,1),(382,1),(549,1)}
       336:{2,3,4,7}:{(285,1),(286,1),(287,1),(297,1),(375,1),(381,1),(383,1),(505,1),(536,1)}
       337:{1,3,4,6}:{(286,1),(288,1),(290,1),(298,1),(376,1),(382,1),(383,1),(384,1),(394,1),(456,1),(457,1),(464,1),(508,1),(512,1),(537,1)}
       338:{1,3,7}:{(287,1),(288,1),(289,1),(385,1)}
       339:{2,6}:{(288,1),(291,1),(385,1)}
       340:{2,4}:{(290,1),(291,1),(386,1)}
       341:{4,5,6}:{(292,1),(295,1),(387,1),(552,1)}
       342:{3,4,6}:{(292,1),(293,1),(380,1),(387,1),(388,1)}
       343:{2,4,5,7}:{(293,1),(294,1),(297,1),(381,1),(388,1),(389,1),(391,1),(536,1),(549,1)}
       344:{1,4,5}:{(294,1),(298,1),(382,1),(390,1),(508,1),(539,1)}
       345:{3,5,7}:{(295,1),(296,1),(387,1),(391,1)}
       346:{2,4,6,7}:{(296,1),(297,1),(299,1),(388,1),(391,1),(392,1)}
       347:{1,4,7}:{(297,1),(298,1),(300,1),(393,1),(513,1)}
       348:{2,4,6}:{(298,1),(301,1),(390,1),(393,1),(394,1)}
       349:{1,3,6,7}:{(299,1),(300,1),(302,1),(392,1),(395,1),(457,1),(466,1)}
       350:{2,5,7}:{(300,1),(301,1),(385,1),(393,1),(395,1)}
       351:{3,5,7}:{(303,1),(304,1),(314,1),(396,1),(397,1),(528,1)}
       352:{4,5}:{(304,1),(306,1)}
       353:{3,5,6,7}:{(305,1),(307,1),(396,1),(399,1),(402,1),(471,1)}
       354:{4,7}:{(305,1),(306,1)}
       355:{3,4,6}:{(306,1),(309,1),(398,1),(400,1),(401,1)}
       356:{2,4,6,7}:{(307,1),(308,1),(310,1),(399,1),(402,1),(405,1),(407,1)}
       357:{3,5,7}:{(308,1),(309,1),(318,1),(400,1),(402,1)}
       358:{2,3,5,6}:{(309,1),(312,1),(319,1),(401,1),(403,1),(404,1),(409,1),(477,1),(514,1)}
       359:{1,3,6,7}:{(310,1),(311,1),(313,1),(402,1),(405,1),(415,1)}
       360:{2,5,7}:{(311,1),(312,1),(320,1),(405,1),(406,1)}
       361:{1,5,6}:{(312,1),(321,1),(406,1),(417,1),(482,1)}
       362:{2,5,6}:{(314,1),(324,1),(396,1),(407,1)}
       363:{2,4,5,7}:{(314,1),(315,1),(316,1),(325,1),(397,1),(407,1),(408,1),(416,1)}
       364:{3,5}:{(315,1),(317,1)}
       365:{3,4,7}:{(316,1),(317,1),(318,1),(408,1),(433,1)}
       366:{2,3,4,6}:{(317,1),(319,1),(322,1),(328,1),(401,1),(409,1),(410,1),(411,1),(426,1),(477,1),(488,1),(526,1)}
       367:{2,3,7}:{(318,1),(319,1),(320,1),(412,1),(520,1)}
       368:{1,3,6}:{(319,1),(321,1),(323,1),(412,1),(413,1)}
       369:{1,4,7}:{(320,1),(321,1),(406,1),(412,1)}
       370:{1,3,4}:{(322,1),(323,1),(331,1),(414,1),(421,1)}
       371:{2,5}:{(323,1),(413,1),(414,1)}
       372:{1,4,6}:{(324,1),(325,1),(333,1),(407,1),(415,1),(482,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(327,1),(334,1),(408,1),(415,1),(416,1)}
       374:{2,5}:{(326,1),(328,1),(417,1)}
       375:{2,4,7}:{(327,1),(328,1),(329,1),(416,1),(418,1)}
       376:{1,4,6}:{(328,1),(330,1),(331,1),(417,1),(418,1),(482,1)}
       377:{1,3,7}:{(329,1),(330,1),(418,1),(420,1)}
       378:{1,2,6}:{(330,1),(332,1),(339,1),(413,1),(420,1)}
       379:{1,2,4}:{(331,1),(332,1),(340,1),(414,1),(421,1)}
       380:{3,6}:{(333,1),(334,1)}
       381:{2,3,5,7}:{(334,1),(335,1),(336,1),(343,1),(416,1),(422,1),(423,1)}
       382:{1,3,5}:{(335,1),(337,1),(344,1),(417,1),(424,1),(430,1),(528,1),(545,1)}
       383:{1,3,4,7}:{(336,1),(337,1),(338,1),(347,1),(418,1),(423,1),(425,1),(433,1),(485,1),(491,1),(525,1)}
       384:{2,4,6}:{(337,1),(339,1),(340,1),(424,1),(425,1),(426,1),(486,1),(488,1)}
       385:{2,7}:{(338,1),(339,1)}
       386:{2,3}:{(340,1),(421,1)}
       387:{3,5,6}:{(341,1),(342,1),(345,1),(427,1),(551,1)}
       388:{2,4,6}:{(342,1),(343,1),(422,1),(427,1),(428,1)}
       389:{1,4,5,7}:{(343,1),(344,1),(347,1),(423,1),(428,1),(429,1),(431,1),(525,1),(545,1)}
       390:{2,4,5}:{(344,1),(348,1),(424,1),(430,1),(488,1)}
       391:{2,5,7}:{(345,1),(346,1),(427,1),(431,1)}
       392:{1,4,6,7}:{(346,1),(347,1),(349,1),(428,1),(431,1),(432,1)}
       393:{2,4,7}:{(347,1),(348,1),(350,1),(433,1)}
       394:{3,6}:{(348,1),(430,1),(433,1)}
       395:{2,6,7}:{(349,1),(350,1),(486,1)}
       396:{3,5,6}:{(351,1),(362,1),(434,1),(445,1)}
       397:{4,5,7}:{(351,1),(352,1),(354,1),(434,1),(513,1),(539,1)}
       398:{3,4,5}:{(352,1),(355,1),(364,1),(436,1),(464,1)}
       399:{4,6,7}:{(353,1),(354,1),(434,1),(437,1)}
       400:{3,4,7}:{(354,1),(355,1),(357,1),(439,1)}
       401:{2,4,6}:{(355,1),(358,1),(436,1),(439,1),(440,1)}
       402:{3,6,7}:{(356,1),(357,1),(445,1)}
       403:{2,3,5,7}:{(357,1),(358,1),(360,1),(367,1),(439,1),(441,1),(442,1),(497,1)}
       404:{1,3,5,6}:{(358,1),(361,1),(368,1),(440,1),(442,1),(443,1),(447,1),(500,1),(502,1),(529,1),(546,1)}
       405:{2,6,7}:{(359,1),(360,1),(444,1),(452,1)}
       406:{1,5,7}:{(360,1),(361,1),(369,1),(444,1)}
       407:{2,4,6}:{(362,1),(363,1),(372,1),(434,1),(445,1),(452,1)}
       408:{3,5,7}:{(363,1),(364,1),(365,1),(445,1)}
       409:{2,3,5}:{(364,1),(366,1),(374,1),(436,1),(447,1),(538,1)}
       410:{2,3,4,7}:{(365,1),(366,1),(367,1),(375,1),(439,1),(446,1),(448,1),(460,1),(510,1)}
       411:{1,3,4,6}:{(366,1),(368,1),(370,1),(376,1),(440,1),(447,1),(448,1),(449,1),(456,1),(500,1),(502,1),(508,1),(532,1),(537,1),(547,1)}
       412:{1,3,7}:{(367,1),(368,1),(369,1),(450,1)}
       413:{2,6}:{(368,1),(371,1),(450,1)}
       414:{2,4}:{(370,1),(371,1),(451,1)}
       415:{1,3,6}:{(372,1),(373,1),(380,1),(445,1),(452,1)}
       416:{2,5,7}:{(373,1),(374,1),(375,1),(452,1),(453,1)}
       417:{1,5}:{(374,1),(376,1)}
       418:{1,4,7}:{(375,1),(376,1),(377,1),(453,1)}
       419:{1,2,4,6}:{(376,1),(378,1),(379,1),(384,1),(449,1),(454,1),(455,1),(456,1),(506,1),(508,1),(537,1)}
       420:{1,2,7}:{(377,1),(378,1),(385,1),(450,1)}
       421:{1,3}:{(379,1),(386,1),(451,1)}
       422:{2,3,6}:{(380,1),(381,1),(388,1),(452,1),(457,1)}
       423:{1,3,5,7}:{(381,1),(382,1),(383,1),(389,1),(453,1),(457,1),(458,1),(463,1)}
       424:{2,5}:{(382,1),(384,1)}
       425:{2,4,7}:{(383,1),(384,1),(385,1),(458,1),(460,1)}
       426:{2,3,6}:{(384,1),(386,1),(394,1),(456,1),(459,1),(460,1)}
       427:{2,5,6}:{(387,1),(388,1),(391,1),(461,1),(549,1)}
       428:{1,4,6}:{(388,1),(389,1),(457,1),(461,1),(462,1)}
       429:{2,4,5,7}:{(389,1),(390,1),(393,1),(458,1),(462,1),(463,1),(465,1),(510,1),(513,1),(538,1),(539,1)}
       430:{3,5}:{(390,1),(394,1),(464,1)}
       431:{1,5,7}:{(391,1),(392,1),(461,1),(465,1)}
       432:{2,4,6,7}:{(392,1),(393,1),(395,1),(462,1),(465,1),(466,1),(513,1)}
       433:{3,7}:{(393,1),(394,1)}
       434:{4,6}:{(396,1),(397,1)}
       435:{3,4,5,7}:{(397,1),(398,1),(400,1),(408,1),(468,1),(469,1),(471,1),(491,1),(528,1)}
       436:{2,4,5}:{(398,1),(401,1),(409,1),(470,1),(488,1)}
       437:{4,5,7}:{(399,1),(467,1),(471,1)}
       438:{3,4,6,7}:{(399,1),(400,1),(402,1),(468,1),(471,1),(472,1)}
       439:{2,4,7}:{(400,1),(401,1),(403,1),(473,1)}
       440:{1,4,6}:{(401,1),(404,1),(470,1),(473,1),(474,1),(550,1)}
       441:{2,3,6,7}:{(402,1),(403,1),(405,1),(472,1),(475,1),(477,1)}
       442:{1,3,5,7}:{(403,1),(404,1),(406,1),(412,1),(473,1),(475,1),(476,1),(518,1),(520,1),(543,1)}
       443:{2,5,6}:{(404,1),(413,1),(474,1),(476,1),(479,1),(521,1)}
       444:{1,6,7}:{(405,1),(406,1),(482,1)}
       445:{3,6}:{(407,1),(408,1)}
       446:{2,3,5,7}:{(408,1),(409,1),(410,1),(416,1),(469,1),(477,1),(478,1)}
       447:{1,3,5}:{(409,1),(411,1),(417,1),(470,1),(479,1),(517,1),(545,1),(551,1)}
       448:{1,3,4,7}:{(410,1),(411,1),(412,1),(418,1),(473,1),(478,1),(480,1),(485,1),(520,1),(525,1),(542,1)}
       449:{2,4,6}:{(411,1),(413,1),(414,1),(479,1),(480,1),(481,1),(521,1),(523,1)}
       450:{2,7}:{(412,1),(413,1)}
       451:{2,3}:{(414,1),(421,1)}
       452:{2,6}:{(415,1),(416,1),(482,1)}
       453:{1,5,7}:{(416,1),(417,1),(418,1),(482,1)}
       454:{1,2,5}:{(417,1),(419,1),(424,1),(479,1),(484,1),(545,1)}
       455:{1,2,4,7}:{(418,1),(419,1),(420,1),(425,1),(480,1),(483,1),(485,1),(525,1)}
       456:{1,3,6}:{(419,1),(421,1),(426,1),(481,1),(484,1),(485,1)}
       457:{1,3,6}:{(422,1),(423,1),(428,1),(482,1),(486,1),(490,1)}
       458:{2,5,7}:{(423,1),(424,1),(425,1),(486,1)}
       459:{2,3,5}:{(424,1),(426,1),(430,1),(484,1),(488,1)}
       460:{2,3,7}:{(425,1),(426,1),(433,1),(485,1)}
       461:{1,5,6}:{(427,1),(428,1),(431,1),(489,1),(545,1)}
       462:{2,4,6}:{(428,1),(429,1),(486,1),(489,1),(490,1),(527,1)}
       463:{3,5,7}:{(429,1),(430,1),(433,1),(490,1),(491,1),(528,1)}
       464:{3,4}:{(430,1),(488,1)}
       465:{2,5,7}:{(431,1),(432,1),(489,1),(492,1)}
       466:{3,6,7}:{(432,1),(433,1),(490,1),(492,1)}
       467:{4,5,6}:{(434,1),(437,1),(493,1),(539,1)}
       468:{3,4,6}:{(434,1),(435,1),(445,1),(493,1),(494,1)}
       469:{2,4,5,7}:{(435,1),(436,1),(439,1),(446,1),(494,1),(495,1),(497,1),(510,1),(538,1)}
       470:{1,4,5}:{(436,1),(440,1),(447,1),(496,1),(508,1),(552,1)}
       471:{3,5,7}:{(437,1),(438,1),(493,1),(497,1)}
       472:{2,4,6,7}:{(438,1),(439,1),(441,1),(494,1),(497,1),(498,1)}
       473:{1,4,7}:{(439,1),(440,1),(442,1),(499,1),(548,1)}
       474:{2,4,6}:{(440,1),(443,1),(496,1),(499,1),(500,1)}
       475:{1,3,6,7}:{(441,1),(442,1),(444,1),(498,1),(501,1),(502,1),(534,1)}
       476:{2,5,7}:{(442,1),(443,1),(450,1),(499,1),(501,1)}
       477:{2,3,6}:{(445,1),(446,1),(452,1),(494,1),(502,1)}
       478:{1,3,5,7}:{(446,1),(447,1),(448,1),(453,1),(495,1),(502,1),(503,1),(531,1)}
       479:{2,5}:{(447,1),(449,1)}
       480:{2,4,7}:{(448,1),(449,1),(450,1),(503,1),(505,1)}
       481:{2,3,6}:{(449,1),(451,1),(456,1),(500,1),(504,1),(505,1)}
       482:{1,6}:{(452,1),(453,1)}
       483:{1,2,5,7}:{(453,1),(454,1),(455,1),(458,1),(503,1),(506,1),(507,1)}
       484:{1,3,5}:{(454,1),(456,1),(459,1),(504,1),(508,1)}
       485:{1,3,7}:{(455,1),(456,1),(460,1),(505,1)}
       486:{2,6}:{(457,1),(458,1)}
       487:{2,3,5,7}:{(458,1),(459,1),(460,1),(463,1),(507,1),(509,1),(510,1),(538,1)}
       488:{2,4}:{(459,1),(464,1),(508,1)}
       489:{2,5,6}:{(461,1),(462,1),(465,1),(511,1),(538,1)}
       490:{3,6}:{(462,1),(463,1)}
       491:{3,4,7}:{(463,1),(464,1),(510,1),(512,1),(513,1)}
       492:{3,5,7}:{(465,1),(466,1),(511,1),(513,1)}
       493:{3,5,6}:{(467,1),(468,1),(471,1),(514,1),(528,1)}
       494:{2,4,6}:{(468,1),(469,1),(477,1),(514,1),(515,1)}
       495:{1,4,5,7}:{(469,1),(470,1),(473,1),(478,1),(515,1),(516,1),(518,1),(525,1),(545,1)}
       496:{2,4,5}:{(470,1),(474,1),(479,1),(517,1),(523,1)}
       497:{2,5,7}:{(471,1),(472,1),(514,1),(518,1)}
       498:{1,4,6,7}:{(472,1),(473,1),(475,1),(515,1),(518,1),(519,1)}
       499:{2,4,7}:{(473,1),(474,1),(476,1),(520,1)}
       500:{3,6}:{(474,1),(517,1),(520,1)}
       501:{2,6,7}:{(475,1),(476,1),(521,1)}
       502:{1,3,6}:{(477,1),(478,1),(482,1),(515,1),(521,1),(541,1)}
       503:{2,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,3,5}:{(479,1),(481,1),(484,1),(517,1),(523,1)}
       505:{2,3,7}:{(480,1),(481,1),(485,1),(520,1)}
       506:{1,2,6}:{(482,1),(483,1),(486,1),(521,1),(524,1)}
       507:{1,3,5,7}:{(483,1),(484,1),(485,1),(487,1),(522,1),(524,1),(525,1),(545,1)}
       508:{1,4}:{(484,1),(488,1),(523,1)}
       509:{2,3,6}:{(486,1),(487,1),(490,1),(524,1),(526,1)}
       510:{2,4,7}:{(487,1),(488,1),(491,1),(525,1),(526,1)}
       511:{3,5,6}:{(489,1),(490,1),(492,1),(527,1),(528,1)}
       512:{3,4,6}:{(490,1),(491,1),(526,1),(527,1),(528,1)}
       513:{4,7}:{(492,1),(527,1)}
       514:{2,5,6}:{(493,1),(494,1),(497,1),(529,1),(538,1)}
       515:{1,4,6}:{(494,1),(495,1),(502,1),(529,1),(530,1)}
       516:{2,4,5,7}:{(495,1),(496,1),(499,1),(503,1),(530,1),(531,1),(533,1),(536,1),(548,1),(549,1),(552,1)}
       517:{3,5}:{(496,1),(500,1),(532,1)}
       518:{1,5,7}:{(497,1),(498,1),(529,1),(533,1)}
       519:{2,4,6,7}:{(498,1),(499,1),(501,1),(530,1),(533,1),(534,1),(548,1)}
       520:{3,7}:{(499,1),(500,1)}
       521:{2,6}:{(502,1),(503,1)}
       522:{2,3,5,7}:{(503,1),(504,1),(505,1),(507,1),(531,1),(535,1),(536,1),(549,1)}
       523:{2,4}:{(504,1),(508,1),(532,1)}
       524:{1,3,6}:{(506,1),(507,1),(509,1),(535,1),(537,1)}
       525:{1,4,7}:{(507,1),(508,1),(510,1),(536,1),(537,1)}
       526:{2,4,6}:{(509,1),(510,1),(512,1),(537,1),(538,1)}
       527:{4,6}:{(511,1),(513,1),(539,1)}
       528:{3,5}:{(512,1),(538,1),(539,1)}
       529:{1,5,6}:{(514,1),(515,1),(518,1),(540,1),(545,1)}
       530:{2,4,6}:{(515,1),(516,1),(521,1),(540,1),(541,1),(550,1)}
       531:{3,5,7}:{(516,1),(517,1),(520,1),(541,1),(542,1),(551,1)}
       532:{3,4}:{(517,1),(523,1)}
       533:{2,5,7}:{(518,1),(519,1),(540,1),(543,1)}
       534:{3,6,7}:{(519,1),(520,1),(541,1),(543,1)}
       535:{2,3,6}:{(521,1),(522,1),(524,1),(541,1),(544,1)}
       536:{2,4,7}:{(522,1),(523,1),(525,1),(542,1),(544,1)}
       537:{1,4,6}:{(524,1),(525,1),(526,1),(544,1),(545,1)}
       538:{2,5}:{(526,1),(528,1),(545,1)}
       539:{4,5}:{(527,1),(528,1)}
       540:{2,5,6}:{(529,1),(530,1),(533,1),(546,1),(549,1)}
       541:{3,6}:{(530,1),(531,1)}
       542:{3,4,7}:{(531,1),(532,1),(536,1),(547,1),(548,1)}
       543:{3,5,7}:{(533,1),(534,1),(546,1),(548,1)}
       544:{2,4,6}:{(535,1),(536,1),(537,1),(547,1),(549,1)}
       545:{1,5}:{(537,1),(538,1),(549,1)}
       546:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       547:{3,4,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,7}:{(543,1),(550,1)}
       549:{2,5}:{(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(548,1),(552,1)}
       551:{3,5}:{(547,1),(549,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

 959 :   0:{3,4,5}:{(3,1),(4,1),(115,1),(138,1)}
         1:{2,3,4}:{(5,1),(6,1),(62,1),(101,1)}
         2:{4,5,6}:{(7,1),(8,1),(143,1),(151,1)}
         3:{3,4,6}:{(0,1),(7,1),(9,1),(10,1)}
         4:{2,4,5}:{(0,1),(5,1),(9,1),(11,1),(101,1),(129,1)}
         5:{2,3,5}:{(1,1),(4,1),(13,1),(14,1)}
         6:{1,3,4}:{(1,1),(14,1),(15,1),(44,1),(53,1),(84,1)}
         7:{3,5,6}:{(2,1),(3,1),(16,1),(17,1),(138,1),(150,1)}
         8:{4,5,7}:{(2,1),(17,1),(18,1)}
         9:{2,4,6}:{(3,1),(4,1),(13,1),(16,1),(19,1),(20,1)}
        10:{3,4,7}:{(3,1),(17,1),(20,1)}
        11:{1,4,5}:{(4,1),(14,1),(19,1),(21,1),(84,1),(118,1)}
        12:{2,3,4}:{(23,1),(24,1),(29,1),(67,1)}
        13:{2,3,6}:{(5,1),(9,1),(26,1),(27,1)}
        14:{1,3,5}:{(5,1),(6,1),(11,1),(26,1),(28,1),(36,1)}
        15:{2,4}:{(6,1),(28,1),(29,1)}
        16:{2,5,6}:{(7,1),(9,1),(30,1),(31,1),(129,1),(147,1)}
        17:{3,5,7}:{(7,1),(8,1),(10,1),(31,1),(32,1)}
        18:{4,6,7}:{(8,1),(32,1),(33,1),(151,1)}
        19:{1,4,6}:{(9,1),(11,1),(26,1),(30,1),(34,1),(35,1)}
        20:{2,4,7}:{(9,1),(10,1),(27,1),(31,1),(35,1)}
        21:{2,4,5}:{(11,1),(28,1),(34,1),(36,1),(67,1),(104,1),(106,1)}
        22:{3,4,5}:{(38,1),(39,1),(53,1),(90,1)}
        23:{2,3,5}:{(12,1),(39,1),(40,1),(41,1)}
        24:{1,3,4}:{(12,1),(41,1),(42,1),(44,1),(84,1),(115,1)}
        25:{1,2,4}:{(15,1),(42,1),(43,1),(44,1),(84,1)}
        26:{1,3,6}:{(13,1),(14,1),(19,1),(45,1),(46,1),(51,1)}
        27:{2,3,7}:{(13,1),(20,1),(46,1)}
        28:{2,5}:{(14,1),(15,1),(45,1)}
        29:{2,3}:{(15,1),(44,1)}
        30:{1,5,6}:{(16,1),(19,1),(48,1),(49,1),(118,1),(141,1)}
        31:{2,5,7}:{(16,1),(17,1),(20,1),(49,1),(50,1)}
        32:{3,6,7}:{(17,1),(18,1),(50,1),(150,1)}
        33:{5,6,7}:{(18,1),(153,1)}
        34:{2,4,6}:{(19,1),(21,1),(45,1),(48,1),(51,1),(52,1),(87,1)}
        35:{1,4,7}:{(19,1),(20,1),(46,1),(49,1),(52,1)}
        36:{3,5}:{(21,1),(51,1),(53,1)}
        37:{4,5,6}:{(54,1),(55,1),(106,1),(133,1)}
        38:{3,4,6}:{(22,1),(54,1),(56,1),(57,1)}
        39:{2,4,5}:{(22,1),(23,1),(56,1),(58,1),(67,1),(104,1)}
        40:{2,3,6}:{(23,1),(56,1),(59,1),(60,1)}
        41:{1,3,5}:{(23,1),(24,1),(58,1),(59,1),(61,1),(98,1)}
        42:{2,4}:{(24,1),(61,1),(62,1)}
        43:{1,2,5}:{(25,1),(28,1),(61,1),(63,1),(64,1)}
        44:{1,3}:{(25,1),(29,1),(62,1)}
        45:{2,6}:{(26,1),(28,1),(66,1)}
        46:{1,3,7}:{(26,1),(27,1),(35,1),(66,1),(72,1)}
        47:{2,3,5}:{(28,1),(29,1),(36,1),(64,1),(65,1),(67,1),(104,1)}
        48:{2,5,6}:{(30,1),(34,1),(68,1),(69,1),(104,1),(132,1)}
        49:{1,5,7}:{(30,1),(31,1),(35,1),(69,1),(70,1)}
        50:{2,6,7}:{(31,1),(32,1),(70,1),(147,1)}
        51:{3,6}:{(34,1),(36,1),(72,1)}
        52:{2,4,7}:{(34,1),(35,1),(66,1),(69,1),(72,1),(107,1)}
        53:{3,4}:{(36,1),(67,1)}
        54:{3,5,6}:{(37,1),(38,1),(73,1),(74,1),(90,1),(123,1)}
        55:{4,5,7}:{(37,1),(74,1),(75,1)}
        56:{2,4,6}:{(38,1),(39,1),(40,1),(73,1),(76,1),(77,1)}
        57:{3,4,7}:{(38,1),(74,1),(77,1)}
        58:{1,4,5}:{(39,1),(41,1),(76,1),(78,1),(84,1),(118,1)}
        59:{1,3,6}:{(40,1),(41,1),(76,1),(79,1),(80,1),(113,1)}
        60:{2,3,7}:{(40,1),(77,1),(80,1)}
        61:{2,5}:{(41,1),(42,1),(79,1)}
        62:{2,3}:{(42,1),(44,1)}
        63:{1,2,6}:{(43,1),(45,1),(79,1),(82,1),(83,1)}
        64:{1,3,5}:{(43,1),(44,1),(47,1),(81,1),(82,1),(84,1),(118,1)}
        65:{2,3,6}:{(45,1),(47,1),(51,1),(82,1),(85,1),(86,1)}
        66:{2,7}:{(45,1),(46,1)}
        67:{2,4}:{(47,1),(53,1),(84,1)}
        68:{3,5,6}:{(48,1),(51,1),(87,1),(88,1),(90,1),(123,1),(142,1)}
        69:{2,5,7}:{(48,1),(49,1),(52,1),(88,1),(89,1)}
        70:{1,6,7}:{(49,1),(50,1),(89,1),(141,1)}
        71:{3,4,6}:{(51,1),(53,1),(85,1),(87,1),(90,1),(91,1),(123,1)}
        72:{3,7}:{(51,1),(52,1)}
        73:{2,5,6}:{(54,1),(56,1),(92,1),(93,1),(104,1),(132,1)}
        74:{3,5,7}:{(54,1),(55,1),(57,1),(93,1),(94,1)}
        75:{4,6,7}:{(55,1),(94,1),(95,1),(133,1)}
        76:{1,4,6}:{(56,1),(58,1),(59,1),(92,1),(96,1),(97,1)}
        77:{2,4,7}:{(56,1),(57,1),(60,1),(93,1),(97,1)}
        78:{2,4,5}:{(58,1),(61,1),(96,1),(98,1),(101,1),(129,1),(143,1)}
        79:{2,6}:{(59,1),(61,1),(100,1)}
        80:{1,3,7}:{(59,1),(60,1),(97,1),(100,1),(128,1)}
        81:{2,3,5}:{(61,1),(62,1),(64,1),(98,1),(99,1),(101,1),(129,1)}
        82:{1,3,6}:{(63,1),(64,1),(65,1),(99,1),(102,1),(103,1)}
        83:{1,2,7}:{(63,1),(66,1),(100,1),(103,1)}
        84:{1,4}:{(64,1),(67,1),(101,1)}
        85:{2,4,6}:{(65,1),(67,1),(71,1),(102,1),(104,1),(105,1),(132,1)}
        86:{2,3,7}:{(65,1),(66,1),(72,1),(103,1),(105,1)}
        87:{4,6}:{(68,1),(106,1),(107,1)}
        88:{3,5,7}:{(68,1),(69,1),(72,1),(107,1),(108,1),(134,1)}
        89:{2,6,7}:{(69,1),(70,1),(108,1),(132,1)}
        90:{3,5}:{(71,1),(104,1),(106,1)}
        91:{3,4,7}:{(71,1),(72,1),(105,1),(107,1),(109,1)}
        92:{1,5,6}:{(73,1),(76,1),(110,1),(111,1),(118,1),(141,1)}
        93:{2,5,7}:{(73,1),(74,1),(77,1),(111,1),(112,1)}
        94:{3,6,7}:{(74,1),(75,1),(112,1),(123,1)}
        95:{5,6,7}:{(75,1),(142,1)}
        96:{2,4,6}:{(76,1),(78,1),(79,1),(110,1),(113,1),(114,1),(135,1)}
        97:{1,4,7}:{(76,1),(77,1),(80,1),(111,1),(114,1)}
        98:{3,5}:{(78,1),(113,1),(115,1)}
        99:{2,3,6}:{(79,1),(81,1),(82,1),(113,1),(116,1),(117,1)}
       100:{2,7}:{(79,1),(80,1)}
       101:{2,4}:{(81,1),(84,1),(115,1)}
       102:{1,4,6}:{(82,1),(84,1),(85,1),(116,1),(118,1),(119,1),(141,1)}
       103:{1,3,7}:{(82,1),(83,1),(86,1),(117,1),(119,1)}
       104:{2,5}:{(85,1),(90,1),(118,1)}
       105:{2,4,7}:{(85,1),(86,1),(91,1),(119,1),(120,1)}
       106:{4,5}:{(87,1),(90,1)}
       107:{4,7}:{(87,1),(88,1)}
       108:{3,6,7}:{(88,1),(89,1),(122,1),(123,1)}
       109:{3,5,7}:{(90,1),(91,1),(120,1),(121,1),(123,1)}
       110:{2,5,6}:{(92,1),(96,1),(124,1),(125,1),(129,1),(147,1)}
       111:{1,5,7}:{(92,1),(93,1),(97,1),(125,1),(126,1)}
       112:{2,6,7}:{(93,1),(94,1),(126,1),(132,1)}
       113:{3,6}:{(96,1),(98,1),(128,1)}
       114:{2,4,7}:{(96,1),(97,1),(100,1),(125,1),(128,1),(144,1)}
       115:{3,4}:{(98,1),(101,1)}
       116:{2,4,6}:{(99,1),(101,1),(102,1),(127,1),(129,1),(130,1),(147,1)}
       117:{2,3,7}:{(99,1),(100,1),(103,1),(128,1),(130,1)}
       118:{1,5}:{(102,1),(104,1),(129,1)}
       119:{1,4,7}:{(102,1),(103,1),(105,1),(130,1),(131,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(131,1),(132,1)}
       121:{4,5,7}:{(106,1),(107,1),(109,1),(133,1),(134,1)}
       122:{4,6,7}:{(107,1),(108,1),(133,1),(134,1)}
       123:{3,6}:{(109,1),(132,1),(133,1)}
       124:{3,5,6}:{(110,1),(113,1),(135,1),(136,1),(138,1),(150,1),(153,1)}
       125:{2,5,7}:{(110,1),(111,1),(114,1),(136,1),(137,1)}
       126:{1,6,7}:{(111,1),(112,1),(137,1),(141,1)}
       127:{3,4,6}:{(113,1),(115,1),(116,1),(135,1),(138,1),(139,1),(150,1)}
       128:{3,7}:{(113,1),(114,1)}
       129:{2,5}:{(116,1),(118,1),(138,1)}
       130:{2,4,7}:{(116,1),(117,1),(119,1),(139,1),(140,1)}
       131:{1,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1)}
       132:{2,6}:{(120,1),(123,1),(141,1)}
       133:{4,6}:{(121,1),(123,1),(142,1)}
       134:{5,7}:{(122,1),(142,1)}
       135:{4,6}:{(124,1),(143,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(145,1),(152,1)}
       137:{2,6,7}:{(125,1),(126,1),(145,1),(147,1)}
       138:{3,5}:{(127,1),(129,1),(143,1)}
       139:{3,4,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(146,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{4,5}:{(135,1),(138,1)}
       144:{4,7}:{(135,1),(136,1)}
       145:{3,6,7}:{(136,1),(137,1),(149,1),(150,1)}
       146:{3,5,7}:{(138,1),(139,1),(140,1),(148,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(150,1)}
       148:{4,5,7}:{(143,1),(144,1),(146,1),(151,1),(152,1)}
       149:{4,6,7}:{(144,1),(145,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(151,1)}
       151:{4,6}:{(148,1),(150,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

 960 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 961 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(98,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(6,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(5,1),(7,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(82,1),(121,1)}
         5:{3,4,6,7}:{(2,1),(3,1),(11,1)}
         6:{2,5,6,7}:{(2,1),(11,1),(12,1),(115,1)}
         7:{2,4,5,7}:{(3,1),(4,1),(11,1),(13,1),(14,1),(95,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(10,1),(13,1),(15,1)}
         9:{1,4,5,6}:{(4,1),(14,1),(15,1),(16,1),(65,1),(116,1)}
        10:{2,3,4,6}:{(8,1),(17,1),(18,1),(19,1),(71,1),(82,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(7,1),(20,1),(21,1)}
        12:{1,5,6,7}:{(6,1),(21,1),(22,1),(106,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(18,1),(20,1),(23,1)}
        14:{1,4,5,7}:{(7,1),(9,1),(21,1),(23,1),(24,1),(79,1),(106,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(19,1),(23,1),(25,1),(26,1)}
        16:{2,4,5,6}:{(9,1),(24,1),(25,1),(26,1),(49,1),(77,1),(107,1)}
        17:{2,3,4,5}:{(10,1),(27,1),(84,1),(99,1)}
        18:{2,3,4,7}:{(10,1),(13,1),(28,1),(86,1),(95,1)}
        19:{1,3,4,6}:{(10,1),(15,1),(27,1),(28,1),(29,1),(37,1),(55,1),(65,1)}
        20:{2,3,6,7}:{(11,1),(13,1),(30,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(14,1),(30,1),(31,1)}
        22:{2,5,6,7}:{(12,1),(31,1),(32,1),(93,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(15,1),(28,1),(30,1),(33,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(16,1),(31,1),(33,1),(34,1),(60,1),(62,1),(93,1)}
        25:{2,5,6}:{(15,1),(29,1),(33,1)}
        26:{3,5,6}:{(16,1),(34,1),(37,1)}
        27:{1,3,4,5}:{(17,1),(19,1),(38,1),(50,1),(67,1),(83,1)}
        28:{1,3,4,7}:{(18,1),(19,1),(23,1),(39,1),(47,1),(69,1),(79,1)}
        29:{2,4,6}:{(19,1),(25,1),(38,1),(39,1),(41,1)}
        30:{1,3,6,7}:{(20,1),(21,1),(23,1),(42,1),(43,1)}
        31:{2,4,6,7}:{(21,1),(22,1),(24,1),(42,1),(43,1),(44,1)}
        32:{3,5,6,7}:{(22,1),(43,1),(44,1),(76,1)}
        33:{2,5,7}:{(23,1),(25,1),(39,1),(42,1)}
        34:{3,5,7}:{(24,1),(26,1),(43,1),(47,1)}
        35:{1,2,5,6}:{(25,1),(40,1),(45,1),(48,1),(104,1),(119,1)}
        36:{2,3,5,6}:{(25,1),(26,1),(41,1),(46,1),(48,1),(49,1),(73,1),(103,1),(107,1)}
        37:{3,4,6}:{(26,1),(47,1),(49,1),(50,1)}
        38:{2,4,5}:{(27,1),(29,1),(52,1)}
        39:{2,4,7}:{(28,1),(29,1),(33,1),(54,1)}
        40:{1,2,4,6}:{(29,1),(35,1),(51,1),(53,1),(55,1),(65,1),(89,1)}
        41:{2,3,6}:{(29,1),(52,1),(54,1),(55,1)}
        42:{2,6,7}:{(30,1),(33,1)}
        43:{3,6,7}:{(31,1),(34,1)}
        44:{4,6,7}:{(32,1),(60,1)}
        45:{1,2,5,7}:{(33,1),(35,1),(53,1),(57,1),(61,1),(112,1)}
        46:{2,3,5,7}:{(33,1),(34,1),(36,1),(54,1),(58,1),(61,1),(62,1),(93,1)}
        47:{3,4,7}:{(34,1),(37,1),(62,1)}
        48:{1,3,5,6}:{(35,1),(36,1),(55,1),(61,1),(64,1),(65,1),(90,1),(113,1),(116,1)}
        49:{2,4,6}:{(36,1),(37,1),(62,1),(65,1),(66,1)}
        50:{3,4,5}:{(37,1),(66,1)}
        51:{1,2,4,5}:{(38,1),(40,1),(67,1),(83,1),(100,1),(104,1)}
        52:{2,3,5}:{(38,1),(41,1),(67,1),(68,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(45,1),(69,1),(79,1),(101,1)}
        54:{2,3,7}:{(39,1),(41,1),(69,1)}
        55:{1,3,6}:{(40,1),(41,1),(67,1),(69,1),(71,1)}
        56:{2,3,4,6}:{(41,1),(49,1),(68,1),(70,1),(72,1),(73,1),(103,1)}
        57:{1,2,6,7}:{(42,1),(45,1),(74,1),(119,1)}
        58:{2,3,6,7}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1)}
        59:{3,4,6,7}:{(43,1),(44,1),(47,1),(75,1),(76,1),(81,1)}
        60:{4,5,7}:{(44,1),(76,1),(77,1)}
        61:{1,3,5,7}:{(45,1),(46,1),(48,1),(69,1),(74,1),(78,1),(79,1),(106,1)}
        62:{2,4,7}:{(46,1),(47,1),(49,1),(79,1)}
        63:{3,4,5,7}:{(47,1),(50,1),(76,1),(80,1),(81,1)}
        64:{2,3,5,6}:{(48,1),(71,1),(78,1),(82,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        65:{1,4,6}:{(48,1),(49,1),(79,1),(82,1),(83,1)}
        66:{2,4,5}:{(49,1),(50,1),(73,1),(83,1)}
        67:{1,3,5}:{(51,1),(52,1),(55,1),(84,1),(85,1)}
        68:{2,3,4}:{(52,1),(85,1)}
        69:{1,3,7}:{(53,1),(54,1),(55,1),(86,1)}
        70:{2,3,4,7}:{(54,1),(56,1),(62,1),(87,1),(88,1)}
        71:{2,3,6}:{(55,1),(84,1),(86,1),(89,1)}
        72:{1,3,4,6}:{(55,1),(56,1),(65,1),(85,1),(87,1),(89,1),(90,1),(98,1),(113,1)}
        73:{2,3,5}:{(56,1),(66,1),(90,1)}
        74:{1,3,6,7}:{(57,1),(58,1),(61,1),(91,1),(92,1),(113,1)}
        75:{2,4,6,7}:{(58,1),(59,1),(62,1),(92,1),(93,1),(97,1)}
        76:{3,5,7}:{(59,1),(60,1),(93,1),(94,1)}
        77:{4,5,6}:{(60,1),(94,1)}
        78:{2,3,5,7}:{(61,1),(64,1),(86,1),(91,1),(95,1),(112,1),(115,1),(117,1)}
        79:{1,4,7}:{(61,1),(62,1),(65,1),(95,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(66,1),(88,1),(93,1),(96,1),(97,1)}
        81:{3,4,6}:{(63,1),(94,1),(97,1)}
        82:{2,4,6}:{(64,1),(65,1),(95,1),(98,1),(99,1)}
        83:{1,4,5}:{(65,1),(66,1),(90,1),(99,1)}
        84:{2,3,5}:{(67,1),(71,1),(100,1),(104,1)}
        85:{1,3,4}:{(67,1),(68,1),(100,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,4,7}:{(69,1),(70,1),(72,1),(79,1),(101,1),(102,1),(108,1)}
        88:{2,3,5,7}:{(70,1),(73,1),(80,1),(102,1),(103,1)}
        89:{2,4,6}:{(71,1),(72,1),(100,1),(101,1),(104,1),(119,1)}
        90:{1,3,5}:{(72,1),(73,1),(83,1),(104,1),(111,1)}
        91:{2,3,6,7}:{(74,1),(78,1),(105,1),(119,1),(122,1)}
        92:{1,4,6,7}:{(74,1),(75,1),(79,1),(105,1),(106,1),(110,1)}
        93:{2,5,7}:{(75,1),(76,1),(106,1),(107,1)}
        94:{3,5,6}:{(76,1),(77,1),(81,1),(107,1)}
        95:{2,4,7}:{(78,1),(79,1),(82,1),(108,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(102,1),(106,1),(109,1),(110,1)}
        97:{2,4,6}:{(80,1),(81,1),(103,1),(107,1),(110,1)}
        98:{3,4,6}:{(82,1),(108,1),(111,1),(122,1)}
        99:{2,4,5}:{(82,1),(83,1),(104,1),(111,1)}
       100:{2,4}:{(84,1),(85,1)}
       101:{2,4,7}:{(86,1),(87,1),(89,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(90,1),(96,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(88,1),(97,1),(113,1)}
       104:{2,5}:{(89,1),(90,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(92,1),(93,1),(115,1),(116,1)}
       107:{2,5,6}:{(93,1),(94,1),(97,1),(116,1)}
       108:{3,4,7}:{(95,1),(98,1),(117,1)}
       109:{2,4,5,7}:{(95,1),(96,1),(99,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(96,1),(97,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(98,1),(99,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 962 :   0:{4,5,6}:{(1,1),(2,1),(136,1),(149,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(127,1),(146,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,4,5}:{(4,1),(8,1),(108,1),(127,1)}
         4:{3,4,6}:{(1,1),(3,1),(10,1),(11,1)}
         5:{2,5,6}:{(1,1),(10,1),(12,1),(13,1),(115,1),(140,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1)}
         7:{4,6,7}:{(2,1),(14,1),(15,1),(149,1)}
         8:{2,4,5}:{(3,1),(10,1),(16,1),(17,1),(91,1),(115,1)}
         9:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        10:{2,4,6}:{(4,1),(5,1),(8,1),(19,1),(20,1),(21,1)}
        11:{3,4,7}:{(4,1),(6,1),(21,1)}
        12:{1,5,6}:{(5,1),(20,1),(22,1),(23,1),(100,1),(132,1)}
        13:{2,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{3,6,7}:{(6,1),(7,1),(24,1),(146,1)}
        15:{5,6,7}:{(7,1),(152,1)}
        16:{2,3,5}:{(8,1),(9,1),(19,1),(25,1)}
        17:{1,4,5}:{(8,1),(20,1),(25,1),(26,1),(75,1),(100,1)}
        18:{1,3,4}:{(9,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(10,1),(16,1),(28,1),(29,1)}
        20:{1,4,6}:{(10,1),(12,1),(17,1),(28,1),(30,1),(31,1)}
        21:{2,4,7}:{(10,1),(11,1),(13,1),(29,1),(31,1)}
        22:{2,5,6}:{(12,1),(30,1),(32,1),(33,1),(84,1),(120,1)}
        23:{1,5,7}:{(12,1),(13,1),(31,1),(33,1),(34,1)}
        24:{2,6,7}:{(13,1),(14,1),(34,1),(140,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(28,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(30,1),(35,1),(36,1),(56,1),(60,1),(84,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{1,3,6}:{(19,1),(20,1),(25,1),(39,1),(40,1),(41,1)}
        29:{2,3,7}:{(19,1),(21,1),(40,1)}
        30:{2,4,6}:{(20,1),(22,1),(26,1),(39,1),(41,1),(42,1),(43,1)}
        31:{1,4,7}:{(20,1),(21,1),(23,1),(40,1),(42,1)}
        32:{3,5,6}:{(22,1),(41,1),(43,1),(44,1),(69,1),(105,1),(107,1)}
        33:{2,5,7}:{(22,1),(23,1),(42,1),(44,1),(45,1)}
        34:{1,6,7}:{(23,1),(24,1),(45,1),(132,1)}
        35:{2,5}:{(25,1),(27,1),(39,1)}
        36:{3,5}:{(26,1),(41,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{2,6}:{(28,1),(35,1),(53,1)}
        40:{1,3,7}:{(28,1),(29,1),(31,1),(53,1),(55,1)}
        41:{3,6}:{(30,1),(36,1),(55,1)}
        42:{2,4,7}:{(30,1),(31,1),(33,1),(53,1),(55,1),(57,1)}
        43:{4,6}:{(32,1),(56,1),(57,1)}
        44:{3,5,7}:{(32,1),(33,1),(55,1),(57,1),(58,1),(90,1)}
        45:{2,6,7}:{(33,1),(34,1),(58,1),(120,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(52,1),(59,1),(60,1),(84,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(39,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,3,6}:{(39,1),(41,1),(47,1),(65,1),(67,1),(68,1)}
        53:{2,7}:{(39,1),(40,1)}
        54:{3,4,6}:{(41,1),(43,1),(48,1),(67,1),(69,1),(70,1),(105,1)}
        55:{3,7}:{(41,1),(42,1)}
        56:{4,5}:{(43,1),(69,1)}
        57:{4,7}:{(43,1),(44,1)}
        58:{3,6,7}:{(44,1),(45,1),(73,1),(105,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(65,1),(74,1),(75,1),(100,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(69,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,3,6}:{(51,1),(52,1),(59,1),(81,1),(82,1),(83,1)}
        66:{1,2,7}:{(51,1),(53,1),(83,1),(126,1)}
        67:{2,4,6}:{(52,1),(54,1),(60,1),(82,1),(84,1),(85,1),(120,1)}
        68:{2,3,7}:{(52,1),(53,1),(55,1),(83,1),(85,1)}
        69:{3,5}:{(54,1),(56,1),(84,1)}
        70:{3,4,7}:{(54,1),(55,1),(57,1),(85,1),(87,1)}
        71:{4,5,6}:{(56,1),(86,1),(88,1),(89,1)}
        72:{4,5,7}:{(56,1),(57,1),(87,1),(89,1),(90,1)}
        73:{4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(115,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(84,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(86,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(65,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,4,6}:{(65,1),(67,1),(75,1),(98,1),(100,1),(101,1),(132,1)}
        83:{1,3,7}:{(65,1),(66,1),(68,1),(99,1),(101,1)}
        84:{2,5}:{(67,1),(69,1),(100,1)}
        85:{2,4,7}:{(67,1),(68,1),(70,1),(101,1),(103,1)}
        86:{3,5,6}:{(69,1),(71,1),(77,1),(102,1),(104,1),(105,1)}
        87:{3,5,7}:{(69,1),(70,1),(72,1),(103,1),(105,1)}
        88:{4,5,7}:{(71,1),(104,1),(106,1)}
        89:{4,6}:{(72,1),(105,1),(107,1)}
        90:{5,7}:{(73,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(100,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(102,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(104,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,4,6}:{(81,1),(82,1),(91,1),(114,1),(115,1),(116,1),(140,1)}
        99:{2,3,7}:{(81,1),(83,1),(116,1),(126,1),(142,1)}
       100:{1,5}:{(82,1),(84,1),(115,1)}
       101:{1,4,7}:{(82,1),(83,1),(85,1),(116,1),(118,1)}
       102:{2,5,6}:{(84,1),(86,1),(93,1),(117,1),(119,1),(120,1)}
       103:{2,5,7}:{(84,1),(85,1),(87,1),(118,1),(120,1)}
       104:{3,5,7}:{(86,1),(88,1),(94,1),(119,1),(121,1)}
       105:{3,6}:{(87,1),(89,1),(120,1)}
       106:{4,6,7}:{(88,1),(89,1),(121,1),(122,1)}
       107:{5,6}:{(89,1),(90,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(115,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(117,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(119,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(98,1),(108,1),(127,1),(128,1),(134,1),(143,1),(146,1)}
       115:{2,5}:{(98,1),(100,1),(127,1)}
       116:{2,4,7}:{(98,1),(99,1),(101,1),(128,1),(130,1)}
       117:{1,5,6}:{(100,1),(102,1),(110,1),(129,1),(131,1),(132,1)}
       118:{1,5,7}:{(100,1),(101,1),(103,1),(130,1),(132,1)}
       119:{2,5,7}:{(102,1),(104,1),(111,1),(131,1),(133,1)}
       120:{2,6}:{(103,1),(105,1),(132,1)}
       121:{3,6,7}:{(104,1),(105,1),(106,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(129,1),(134,1),(135,1),(143,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(131,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,5}:{(114,1),(115,1),(136,1)}
       128:{3,4,7}:{(114,1),(116,1),(138,1),(142,1),(148,1)}
       129:{2,5,6}:{(115,1),(117,1),(124,1),(137,1),(139,1),(140,1)}
       130:{2,5,7}:{(115,1),(116,1),(118,1),(138,1),(140,1)}
       131:{1,5,7}:{(117,1),(119,1),(125,1),(139,1),(141,1)}
       132:{1,6}:{(118,1),(120,1),(140,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(139,1),(142,1),(148,1)}
       136:{4,5}:{(127,1),(143,1)}
       137:{3,5,6}:{(127,1),(129,1),(134,1),(143,1),(145,1),(146,1),(152,1)}
       138:{3,5,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       139:{2,5,7}:{(129,1),(131,1),(135,1),(145,1),(147,1)}
       140:{2,6}:{(130,1),(132,1),(146,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,6}:{(136,1),(137,1),(148,1)}
       144:{4,5,7}:{(136,1),(138,1),(148,1),(149,1),(153,1)}
       145:{3,5,7}:{(137,1),(139,1),(142,1),(148,1),(150,1),(153,1)}
       146:{3,6}:{(138,1),(140,1),(149,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,7}:{(143,1),(145,1)}
       149:{4,6}:{(144,1),(146,1),(152,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(151,1)}
       151:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       152:{5,6}:{(149,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

 963 :   0:{3,4,6,7}:{(2,1),(3,1),(18,1),(23,1),(41,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(41,1),(64,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(13,1),(28,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(6,1),(10,1),(11,1),(24,1),(52,1),(76,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(11,1),(12,1),(13,1),(29,1),(53,1),(56,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(14,1),(15,1),(21,1),(39,1)}
         7:{2,5,7}:{(2,1),(3,1),(15,1),(16,1)}
         8:{3,5,6}:{(3,1),(16,1),(18,1),(41,1),(103,1)}
         9:{4,5,7}:{(3,1),(18,1)}
        10:{2,6,7}:{(4,1),(19,1),(64,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(36,1),(43,1),(65,1),(68,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(20,1),(22,1),(41,1),(47,1),(64,1),(67,1),(69,1),(103,1)}
        13:{2,4,7}:{(5,1),(21,1),(22,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(10,1),(24,1),(25,1),(31,1),(49,1),(50,1)}
        15:{1,5,7}:{(6,1),(7,1),(25,1),(26,1)}
        16:{2,5,6}:{(7,1),(8,1),(26,1),(28,1),(100,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(13,1),(27,1),(28,1),(29,1),(34,1),(53,1),(92,1),(100,1),(104,1)}
        18:{4,6}:{(8,1),(9,1),(104,1)}
        19:{2,5,7}:{(10,1),(11,1),(30,1),(31,1),(80,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(30,1),(32,1),(48,1),(52,1),(55,1),(57,1),(76,1),(79,1),(81,1)}
        21:{1,4,7}:{(11,1),(13,1),(31,1),(32,1),(49,1)}
        22:{2,4,6}:{(12,1),(13,1),(32,1),(34,1),(35,1),(104,1)}
        23:{3,4,7}:{(13,1),(29,1),(35,1),(104,1)}
        24:{3,6,7}:{(14,1),(36,1),(43,1),(62,1)}
        25:{2,5,7}:{(14,1),(15,1),(36,1),(37,1)}
        26:{1,5,6}:{(15,1),(16,1),(37,1),(39,1),(96,1)}
        27:{1,4,5,7}:{(15,1),(17,1),(21,1),(38,1),(39,1),(40,1),(44,1),(65,1),(84,1),(96,1)}
        28:{2,4,6}:{(16,1),(17,1),(18,1),(39,1),(41,1),(64,1)}
        29:{3,5,7}:{(17,1),(23,1),(41,1),(47,1),(98,1),(103,1)}
        30:{2,5,6}:{(19,1),(20,1),(42,1),(64,1),(69,1),(89,1)}
        31:{2,4,7}:{(19,1),(21,1),(42,1),(43,1)}
        32:{1,4,6}:{(20,1),(21,1),(22,1),(42,1),(44,1),(60,1)}
        33:{1,3,4,7}:{(21,1),(23,1),(40,1),(43,1),(45,1),(46,1),(61,1),(68,1),(84,1),(98,1)}
        34:{2,4,5}:{(22,1),(44,1),(47,1),(69,1),(99,1)}
        35:{3,4,6}:{(22,1),(23,1),(41,1),(47,1)}
        36:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        37:{2,5,6}:{(25,1),(26,1),(48,1),(50,1),(90,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(31,1),(49,1),(50,1),(51,1),(53,1),(54,1),(71,1),(73,1),(90,1)}
        39:{1,4,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(76,1)}
        40:{1,3,5,7}:{(27,1),(29,1),(33,1),(51,1),(52,1),(53,1),(57,1)}
        41:{3,6}:{(28,1),(29,1)}
        42:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
        43:{3,7}:{(31,1),(55,1)}
        44:{1,4,5}:{(32,1),(34,1),(54,1),(57,1),(71,1),(81,1),(94,1),(104,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(52,1),(55,1),(57,1),(58,1),(72,1),(77,1),(79,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{2,4,7}:{(33,1),(53,1),(56,1),(58,1),(59,1),(80,1)}
        47:{3,5}:{(34,1),(35,1),(102,1)}
        48:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(82,1)}
        49:{4,7}:{(36,1),(60,1)}
        50:{2,4,6}:{(37,1),(38,1),(39,1),(60,1),(62,1),(64,1)}
        51:{3,5,7}:{(38,1),(43,1),(61,1),(62,1),(66,1),(82,1)}
        52:{1,3,6}:{(39,1),(40,1),(41,1),(62,1),(64,1)}
        53:{2,5,7}:{(40,1),(46,1),(64,1),(65,1),(69,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(69,1),(87,1)}
        55:{3,6}:{(42,1),(43,1),(66,1)}
        56:{2,3,7}:{(43,1),(46,1),(67,1),(68,1),(98,1)}
        57:{1,3,5}:{(44,1),(45,1),(47,1),(66,1),(69,1),(82,1),(96,1),(103,1)}
        58:{2,4,6}:{(45,1),(46,1),(64,1),(67,1),(69,1),(70,1),(87,1),(89,1),(99,1)}
        59:{1,4,7}:{(46,1),(65,1),(68,1),(70,1)}
        60:{4,6}:{(48,1),(49,1),(71,1)}
        61:{3,4,7}:{(49,1),(51,1),(72,1),(73,1),(77,1)}
        62:{3,6}:{(50,1),(51,1)}
        63:{2,3,5,7}:{(51,1),(53,1),(56,1),(73,1),(74,1),(75,1),(78,1),(90,1)}
        64:{2,6}:{(52,1),(53,1),(76,1)}
        65:{1,5,7}:{(53,1),(59,1),(76,1),(81,1)}
        66:{3,5}:{(54,1),(55,1),(77,1)}
        67:{2,3,6}:{(55,1),(56,1),(58,1),(78,1),(79,1),(101,1),(102,1)}
        68:{1,3,7}:{(56,1),(59,1),(79,1),(80,1)}
        69:{2,5}:{(57,1),(58,1),(81,1)}
        70:{1,4,6}:{(58,1),(59,1),(76,1),(79,1),(81,1),(94,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(62,1),(82,1),(83,1)}
        73:{2,4,7}:{(61,1),(63,1),(83,1),(84,1),(87,1)}
        74:{2,3,6}:{(62,1),(63,1),(64,1),(83,1),(85,1)}
        75:{1,3,5,7}:{(63,1),(65,1),(68,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        76:{1,6}:{(64,1),(65,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(69,1),(87,1),(88,1),(103,1)}
        79:{1,3,6}:{(67,1),(68,1),(70,1),(88,1),(89,1)}
        80:{2,7}:{(68,1),(89,1)}
        81:{1,5}:{(69,1),(70,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(74,1),(90,1),(91,1)}
        84:{1,4,7}:{(73,1),(75,1),(91,1),(92,1),(94,1),(104,1)}
        85:{1,3,6}:{(74,1),(75,1),(76,1),(91,1),(93,1),(101,1)}
        86:{2,5,7}:{(75,1),(80,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(81,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(79,1),(80,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,4,7}:{(84,1),(86,1),(97,1),(98,1),(99,1)}
        93:{2,6}:{(85,1),(86,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(92,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

 964 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(11,1),(18,1),(36,1),(40,1),(80,1)}
         1:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(29,1),(55,1),(59,1),(61,1),(97,1)}
         2:{2,4,7}:{(0,1),(6,1),(8,1),(9,1),(98,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(23,1),(56,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(18,1),(33,1),(36,1),(46,1),(69,1),(83,1),(103,1),(104,1),(126,1),(137,1)}
         5:{2,5,7}:{(1,1),(13,1),(14,1),(42,1),(78,1),(111,1)}
         6:{1,4,7}:{(1,1),(2,1),(13,1),(16,1),(81,1),(112,1)}
         7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(41,1),(75,1)}
         8:{3,4,7}:{(2,1),(11,1),(17,1),(69,1),(113,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
        10:{1,4,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(29,1),(49,1),(55,1),(64,1),(87,1),(88,1),(99,1),(115,1),(119,1)}
        11:{3,5,7}:{(4,1),(8,1),(23,1),(30,1),(100,1),(116,1),(117,1),(132,1)}
        12:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(56,1),(58,1)}
        13:{2,4,7}:{(5,1),(6,1),(25,1),(26,1),(121,1)}
        14:{2,6}:{(5,1),(7,1)}
        15:{1,3,4,7}:{(6,1),(8,1),(21,1),(25,1),(27,1),(28,1),(51,1),(59,1),(87,1),(88,1),(116,1),(117,1),(122,1)}
        16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
        17:{3,4,6}:{(8,1),(9,1),(23,1),(30,1),(58,1)}
        18:{2,5}:{(9,1),(29,1),(30,1)}
        19:{2,4,6,7}:{(12,1),(31,1),(32,1),(33,1),(67,1),(69,1),(103,1)}
        20:{2,4,5,7}:{(10,1),(13,1),(34,1),(35,1),(36,1),(42,1),(66,1),(70,1),(81,1),(83,1),(101,1),(103,1),(106,1),(107,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(15,1),(34,1),(36,1),(37,1),(45,1),(114,1),(124,1)}
        22:{1,4,6}:{(10,1),(12,1),(35,1),(37,1),(38,1),(75,1)}
        23:{3,6}:{(11,1),(12,1)}
        24:{2,5,6}:{(12,1),(18,1),(33,1),(38,1),(39,1),(126,1)}
        25:{3,7}:{(13,1),(41,1),(128,1)}
        26:{2,4,6}:{(13,1),(14,1),(16,1),(41,1),(42,1),(81,1)}
        27:{2,4,7}:{(15,1),(36,1),(40,1),(43,1),(44,1),(78,1),(129,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(17,1),(37,1),(41,1),(44,1),(45,1),(71,1),(77,1),(79,1),(81,1),(105,1),(110,1),(112,1),(113,1),(125,1),(128,1),(137,1)}
        29:{1,5}:{(16,1),(18,1),(42,1)}
        30:{3,5}:{(17,1),(18,1),(46,1)}
        31:{1,4,6,7}:{(19,1),(22,1),(47,1),(48,1),(49,1),(85,1),(87,1),(115,1)}
        32:{3,6,7}:{(19,1),(23,1),(50,1),(116,1)}
        33:{2,5,7}:{(19,1),(24,1),(49,1),(50,1)}
        34:{3,5,7}:{(20,1),(25,1),(51,1),(53,1),(61,1),(90,1),(100,1),(116,1)}
        35:{2,4,6}:{(20,1),(22,1),(53,1),(54,1),(56,1),(93,1)}
        36:{2,5,7}:{(21,1),(27,1),(55,1),(56,1),(63,1),(123,1),(131,1)}
        37:{1,3,6}:{(21,1),(22,1),(23,1),(53,1),(56,1)}
        38:{1,5,6}:{(22,1),(24,1),(29,1),(49,1),(54,1),(119,1)}
        39:{3,5,6}:{(23,1),(24,1),(30,1),(50,1),(58,1),(132,1)}
        40:{2,3,7}:{(25,1),(27,1),(59,1),(60,1),(116,1),(117,1),(131,1),(134,1)}
        41:{3,6}:{(25,1),(26,1),(61,1)}
        42:{2,5}:{(26,1),(29,1),(61,1)}
        43:{1,4,7}:{(27,1),(55,1),(59,1),(62,1),(135,1)}
        44:{2,4,6}:{(27,1),(28,1),(56,1),(60,1),(62,1),(63,1),(96,1),(98,1),(121,1)}
        45:{1,3,5}:{(28,1),(29,1),(30,1),(61,1),(63,1),(64,1),(90,1),(100,1),(119,1),(132,1)}
        46:{4,5}:{(30,1),(58,1)}
        47:{2,4,6,7}:{(31,1),(35,1),(65,1),(66,1),(67,1),(101,1),(103,1)}
        48:{1,3,6,7}:{(31,1),(32,1),(37,1),(65,1),(67,1),(68,1),(124,1)}
        49:{1,5,7}:{(31,1),(33,1),(38,1),(66,1)}
        50:{3,5,7}:{(32,1),(33,1),(39,1),(69,1)}
        51:{3,4,7}:{(34,1),(70,1),(71,1),(81,1),(101,1),(113,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(40,1),(70,1),(72,1),(73,1),(80,1),(106,1)}
        53:{3,6}:{(34,1),(35,1)}
        54:{2,5,6}:{(35,1),(38,1),(42,1),(66,1),(74,1),(106,1)}
        55:{1,5,7}:{(36,1),(43,1),(75,1),(82,1),(130,1),(136,1)}
        56:{2,6}:{(36,1),(37,1),(75,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(39,1),(45,1),(68,1),(74,1),(76,1),(77,1),(110,1)}
        58:{4,6}:{(39,1),(46,1),(69,1),(137,1)}
        59:{1,3,7}:{(40,1),(43,1),(78,1),(79,1),(136,1),(138,1)}
        60:{2,3,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(110,1),(125,1),(127,1),(128,1)}
        61:{3,5}:{(41,1),(42,1),(81,1)}
        62:{1,4,6}:{(43,1),(44,1),(75,1),(79,1),(82,1),(112,1)}
        63:{2,5}:{(44,1),(45,1),(82,1)}
        64:{1,4,5}:{(45,1),(46,1),(77,1),(81,1),(83,1),(107,1),(112,1),(130,1),(137,1)}
        65:{3,6,7}:{(47,1),(53,1),(84,1),(116,1)}
        66:{2,5,7}:{(47,1),(49,1),(54,1),(84,1)}
        67:{2,6,7}:{(48,1),(56,1),(85,1),(86,1),(131,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(50,1),(57,1),(84,1),(86,1),(87,1),(116,1)}
        69:{4,7}:{(50,1),(58,1)}
        70:{2,4,7}:{(51,1),(52,1),(88,1),(89,1),(98,1)}
        71:{3,4,6}:{(51,1),(53,1),(89,1),(90,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(55,1),(59,1),(88,1),(91,1),(92,1),(97,1),(117,1),(119,1),(132,1)}
        73:{2,3,6}:{(52,1),(53,1),(56,1),(89,1),(92,1)}
        74:{3,5,6}:{(53,1),(54,1),(61,1),(84,1),(90,1),(93,1)}
        75:{1,6}:{(55,1),(56,1)}
        76:{2,5,6}:{(56,1),(57,1),(63,1),(86,1),(94,1),(95,1)}
        77:{1,4,6}:{(57,1),(58,1),(64,1),(87,1),(93,1),(95,1),(133,1)}
        78:{2,7}:{(59,1),(96,1),(139,1)}
        79:{1,3,6}:{(59,1),(60,1),(62,1),(96,1),(97,1),(133,1)}
        80:{2,3,5}:{(60,1),(61,1),(63,1),(97,1),(98,1),(100,1),(123,1),(132,1),(134,1)}
        81:{4}:{(61,1)}
        82:{1,5}:{(62,1),(63,1)}
        83:{2,4,5}:{(63,1),(64,1),(95,1),(98,1),(99,1),(100,1),(121,1),(123,1)}
        84:{3,5,7}:{(65,1),(66,1),(74,1),(101,1)}
        85:{1,6,7}:{(67,1),(75,1),(102,1),(136,1)}
        86:{2,5,7}:{(67,1),(68,1),(76,1),(102,1),(103,1)}
        87:{1,4,7}:{(68,1),(69,1),(77,1),(101,1),(103,1),(136,1)}
        88:{1,4,7}:{(70,1),(72,1),(104,1),(105,1),(112,1),(137,1)}
        89:{2,4,6}:{(70,1),(71,1),(73,1),(105,1),(106,1)}
        90:{3,5}:{(71,1),(106,1),(107,1)}
        91:{2,5,7}:{(72,1),(78,1),(104,1),(108,1),(111,1),(126,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(105,1),(108,1),(125,1)}
        93:{4,6}:{(74,1),(81,1),(101,1),(107,1)}
        94:{1,5,6}:{(75,1),(76,1),(82,1),(102,1),(109,1)}
        95:{2,4,6}:{(76,1),(77,1),(83,1),(103,1),(109,1),(110,1),(127,1)}
        96:{2,6}:{(78,1),(79,1),(111,1)}
        97:{1,3,5}:{(79,1),(80,1),(82,1),(111,1),(112,1),(128,1),(130,1),(138,1)}
        98:{2,4}:{(80,1),(81,1),(112,1),(113,1),(137,1)}
        99:{1,4,5}:{(82,1),(83,1),(109,1),(112,1),(114,1)}
       100:{3,5}:{(83,1),(110,1),(113,1),(128,1)}
       101:{4,7}:{(84,1),(93,1)}
       102:{1,5,7}:{(85,1),(86,1),(94,1),(115,1)}
       103:{2,4,7}:{(86,1),(87,1),(95,1),(115,1),(116,1),(131,1)}
       104:{2,4,7}:{(88,1),(91,1),(117,1),(118,1),(121,1)}
       105:{1,4,6}:{(88,1),(89,1),(92,1),(118,1),(119,1)}
       106:{2,5}:{(89,1),(90,1),(119,1)}
       107:{4,5}:{(90,1),(93,1)}
       108:{2,6}:{(91,1),(92,1)}
       109:{1,4,6}:{(94,1),(95,1),(99,1),(115,1),(120,1)}
       110:{3,6}:{(95,1),(100,1),(116,1)}
       111:{2,5}:{(96,1),(97,1),(121,1),(139,1)}
       112:{1,4}:{(97,1),(98,1),(121,1)}
       113:{3,4}:{(98,1),(100,1)}
       114:{1,3,5}:{(99,1),(100,1),(120,1),(122,1),(123,1)}
       115:{1,4,7}:{(102,1),(103,1),(109,1),(124,1)}
       116:{3,7}:{(103,1),(110,1)}
       117:{3,7}:{(104,1),(125,1),(128,1)}
       118:{2,4,6}:{(104,1),(105,1),(108,1),(125,1),(126,1),(137,1)}
       119:{1,5}:{(105,1),(106,1),(126,1)}
       120:{1,3,6}:{(109,1),(110,1),(114,1),(124,1),(127,1)}
       121:{2,4}:{(111,1),(112,1),(128,1)}
       122:{1,3,4}:{(112,1),(113,1),(114,1),(128,1),(129,1),(138,1)}
       123:{2,5}:{(114,1),(127,1),(129,1),(130,1)}
       124:{1,3,7}:{(115,1),(116,1),(120,1),(131,1)}
       125:{3,6}:{(117,1),(118,1),(132,1)}
       126:{2,5}:{(118,1),(119,1),(132,1)}
       127:{2,6}:{(120,1),(123,1),(131,1),(133,1)}
       128:{3}:{(121,1)}
       129:{2,4}:{(122,1),(123,1),(134,1),(135,1),(139,1)}
       130:{1,5}:{(123,1),(133,1),(135,1)}
       131:{2,7}:{(124,1),(127,1),(136,1)}
       132:{3,5}:{(125,1),(126,1),(137,1)}
       133:{1,6}:{(127,1),(130,1),(136,1)}
       134:{2,3}:{(128,1),(129,1),(138,1)}
       135:{1,4}:{(129,1),(130,1),(138,1)}
       136:{1,7}:{(131,1),(133,1)}
       137:{4}:{(132,1)}
       138:{1,3}:{(134,1),(135,1),(139,1)}
       139:{2}:{(138,1)}

 965 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(93,1)}
         1:{2,3,6}:{(4,1),(6,1),(7,1),(8,1),(66,1),(93,1)}
         2:{3,4,6}:{(7,1),(9,1),(10,1),(29,1),(33,1),(36,1),(66,1)}
         3:{1,2,5}:{(0,1),(12,1),(13,1),(41,1),(79,1)}
         4:{1,3,6}:{(0,1),(1,1),(11,1),(13,1),(14,1),(15,1),(99,1)}
         5:{1,2,7}:{(0,1),(15,1),(100,1)}
         6:{2,3,5}:{(1,1),(13,1),(16,1),(17,1),(42,1),(47,1),(79,1)}
         7:{2,4,6}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1),(50,1)}
         8:{2,3,7}:{(1,1),(15,1),(18,1),(83,1),(100,1)}
         9:{3,5}:{(2,1),(17,1),(19,1)}
        10:{3,4,7}:{(2,1),(18,1),(21,1),(51,1),(83,1)}
        11:{2,3,6}:{(4,1),(22,1),(23,1),(24,1),(89,1),(93,1)}
        12:{1,2,4}:{(3,1),(25,1),(26,1),(61,1)}
        13:{1,3,5}:{(3,1),(4,1),(6,1),(22,1),(25,1),(26,1),(27,1),(60,1),(92,1)}
        14:{1,4,6}:{(4,1),(7,1),(23,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,7}:{(4,1),(5,1),(8,1),(24,1),(28,1),(103,1)}
        16:{2,4}:{(6,1),(26,1),(29,1)}
        17:{2,5}:{(7,1),(9,1),(27,1)}
        18:{2,4,7}:{(7,1),(8,1),(10,1),(28,1),(32,1)}
        19:{4,5}:{(9,1),(33,1)}
        20:{3,5,6}:{(9,1),(31,1),(33,1),(35,1),(36,1),(66,1),(70,1)}
        21:{3,5,7}:{(9,1),(10,1),(32,1),(34,1),(36,1)}
        22:{2,3,5}:{(11,1),(13,1),(38,1),(39,1),(42,1),(74,1),(79,1)}
        23:{2,4,6}:{(11,1),(14,1),(37,1),(38,1),(39,1),(40,1),(77,1)}
        24:{2,3,7}:{(11,1),(15,1),(40,1),(98,1),(100,1)}
        25:{1,3}:{(12,1),(42,1)}
        26:{1,4}:{(13,1),(16,1),(38,1)}
        27:{1,5}:{(14,1),(17,1),(39,1)}
        28:{1,4,7}:{(14,1),(15,1),(18,1),(40,1),(46,1)}
        29:{3,4}:{(16,1),(47,1)}
        30:{2,4,5}:{(16,1),(17,1),(19,1),(44,1),(47,1),(48,1),(79,1)}
        31:{2,5,6}:{(17,1),(20,1),(45,1),(48,1),(49,1),(50,1)}
        32:{2,5,7}:{(17,1),(18,1),(21,1),(46,1),(50,1)}
        33:{4,6}:{(19,1),(20,1),(51,1)}
        34:{4,5,7}:{(19,1),(21,1),(51,1),(52,1),(84,1)}
        35:{3,5,7}:{(20,1),(49,1),(51,1),(53,1),(83,1),(84,1)}
        36:{3,6}:{(21,1),(50,1),(52,1)}
        37:{3,4,6}:{(23,1),(54,1),(55,1),(56,1),(85,1),(88,1),(89,1)}
        38:{2,4}:{(22,1),(26,1),(56,1)}
        39:{2,5}:{(23,1),(27,1),(54,1)}
        40:{2,4,7}:{(23,1),(24,1),(28,1),(55,1),(59,1)}
        41:{1,2}:{(60,1)}
        42:{2,3}:{(25,1),(60,1),(61,1)}
        43:{1,3,4}:{(25,1),(26,1),(29,1),(56,1),(61,1),(62,1)}
        44:{1,4,5}:{(26,1),(27,1),(30,1),(57,1),(62,1),(63,1),(92,1)}
        45:{1,5,6}:{(27,1),(31,1),(58,1),(63,1),(64,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(32,1),(59,1),(65,1)}
        47:{3,5}:{(29,1),(30,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(33,1),(63,1),(66,1),(67,1),(93,1)}
        49:{2,5,7}:{(31,1),(35,1),(64,1),(67,1),(68,1)}
        50:{2,6}:{(32,1),(36,1),(65,1)}
        51:{4,7}:{(33,1),(35,1)}
        52:{4,6}:{(34,1),(36,1),(70,1)}
        53:{3,6,7}:{(35,1),(36,1),(68,1),(69,1)}
        54:{3,5}:{(37,1),(39,1),(71,1)}
        55:{3,4,7}:{(37,1),(40,1),(73,1),(95,1),(98,1)}
        56:{3,4}:{(38,1),(74,1)}
        57:{2,4,5}:{(38,1),(39,1),(44,1),(71,1),(74,1),(75,1),(79,1)}
        58:{2,5,6}:{(39,1),(45,1),(72,1),(75,1),(76,1),(77,1)}
        59:{2,5,7}:{(39,1),(40,1),(46,1),(73,1),(77,1)}
        60:{1,3}:{(41,1),(42,1),(78,1)}
        61:{2,4}:{(42,1),(43,1),(78,1),(79,1)}
        62:{1,3,5}:{(43,1),(44,1),(47,1),(74,1),(79,1),(80,1)}
        63:{1,4,6}:{(44,1),(45,1),(48,1),(75,1),(80,1),(81,1),(99,1)}
        64:{1,5,7}:{(45,1),(49,1),(76,1),(81,1),(82,1)}
        65:{1,6}:{(46,1),(50,1),(77,1)}
        66:{3,6}:{(47,1),(48,1),(83,1)}
        67:{2,4,7}:{(48,1),(49,1),(51,1),(81,1),(83,1),(100,1)}
        68:{2,6,7}:{(49,1),(50,1),(53,1),(82,1)}
        69:{4,6,7}:{(51,1),(52,1),(53,1),(84,1)}
        70:{5,6}:{(52,1),(84,1)}
        71:{4,5}:{(54,1),(85,1)}
        72:{3,5,6}:{(54,1),(58,1),(85,1),(87,1),(88,1),(89,1),(102,1)}
        73:{3,5,7}:{(54,1),(55,1),(59,1),(86,1),(88,1)}
        74:{3,5}:{(56,1),(57,1),(89,1)}
        75:{2,4,6}:{(57,1),(58,1),(63,1),(85,1),(89,1),(90,1),(93,1)}
        76:{2,5,7}:{(58,1),(64,1),(87,1),(90,1),(91,1)}
        77:{2,6}:{(59,1),(65,1),(88,1)}
        78:{1,4}:{(60,1),(61,1),(92,1)}
        79:{2,5}:{(61,1),(62,1),(92,1),(93,1)}
        80:{1,3,6}:{(62,1),(63,1),(66,1),(89,1),(93,1),(94,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(90,1),(94,1),(103,1)}
        82:{1,6,7}:{(64,1),(65,1),(68,1),(91,1)}
        83:{3,7}:{(66,1),(67,1)}
        84:{5,7}:{(69,1),(70,1)}
        85:{4,6}:{(71,1),(72,1),(95,1)}
        86:{4,5,7}:{(71,1),(73,1),(95,1),(96,1),(104,1)}
        87:{3,5,7}:{(72,1),(76,1),(95,1),(97,1),(98,1),(104,1)}
        88:{3,6}:{(73,1),(77,1),(96,1)}
        89:{3,6}:{(74,1),(75,1),(98,1)}
        90:{2,4,7}:{(75,1),(76,1),(81,1),(95,1),(98,1),(100,1)}
        91:{2,6,7}:{(76,1),(77,1),(82,1),(97,1)}
        92:{1,5}:{(78,1),(79,1),(99,1)}
        93:{2,6}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,3,7}:{(80,1),(81,1),(83,1),(98,1),(100,1)}
        95:{4,7}:{(85,1),(87,1)}
        96:{4,6}:{(86,1),(88,1),(102,1)}
        97:{3,6,7}:{(87,1),(88,1),(91,1),(101,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(93,1),(103,1)}
       100:{2,7}:{(93,1),(94,1),(103,1)}
       101:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       102:{5,6}:{(96,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

 966 :   0:{1,2,7}:{(4,1),(5,1),(102,1)}
         1:{2,3,7}:{(4,1),(6,1),(7,1),(89,1),(102,1)}
         2:{3,4,7}:{(6,1),(8,1),(9,1),(62,1),(89,1)}
         3:{4,5,7}:{(8,1),(10,1),(33,1),(34,1),(62,1)}
         4:{1,3,7}:{(0,1),(1,1),(11,1),(12,1),(13,1),(104,1)}
         5:{1,2,6}:{(0,1),(13,1),(14,1),(97,1)}
         6:{2,4,7}:{(1,1),(2,1),(12,1),(15,1),(16,1)}
         7:{2,3,6}:{(1,1),(13,1),(16,1),(17,1),(76,1),(97,1)}
         8:{3,5,7}:{(2,1),(3,1),(15,1),(18,1),(19,1)}
         9:{3,4,6}:{(2,1),(16,1),(18,1),(19,1),(46,1),(48,1),(76,1)}
        10:{4,6}:{(3,1),(18,1),(21,1)}
        11:{2,3,7}:{(4,1),(22,1),(23,1),(101,1),(102,1)}
        12:{1,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1)}
        13:{1,3,6}:{(4,1),(5,1),(7,1),(23,1),(25,1),(26,1),(103,1)}
        14:{1,2,5}:{(5,1),(26,1),(27,1),(86,1),(88,1)}
        15:{2,5,7}:{(6,1),(8,1),(24,1),(28,1),(29,1)}
        16:{2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(26,1),(29,1),(30,1),(58,1),(61,1),(86,1)}
        18:{3,6}:{(8,1),(10,1),(28,1)}
        19:{3,5}:{(9,1),(29,1),(33,1)}
        20:{4,6,7}:{(10,1),(31,1),(34,1),(62,1)}
        21:{5,6}:{(10,1),(34,1)}
        22:{2,4,7}:{(11,1),(12,1),(35,1),(36,1),(37,1)}
        23:{2,3,6}:{(11,1),(13,1),(37,1),(38,1),(95,1),(97,1)}
        24:{1,5,7}:{(12,1),(15,1),(36,1),(39,1),(40,1)}
        25:{1,4,6}:{(12,1),(13,1),(16,1),(37,1),(39,1),(40,1),(41,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(38,1),(40,1),(41,1),(42,1),(74,1),(98,1)}
        27:{1,2,4}:{(14,1),(41,1),(42,1),(73,1)}
        28:{2,6}:{(15,1),(18,1),(39,1)}
        29:{2,5}:{(16,1),(19,1),(40,1)}
        30:{2,4}:{(17,1),(41,1),(46,1)}
        31:{3,6,7}:{(18,1),(20,1),(43,1),(47,1)}
        32:{3,5,6}:{(18,1),(19,1),(21,1),(44,1),(47,1),(48,1),(76,1)}
        33:{4,5}:{(19,1),(48,1)}
        34:{5,7}:{(20,1),(21,1)}
        35:{3,4,7}:{(22,1),(49,1),(50,1),(100,1),(101,1)}
        36:{2,5,7}:{(22,1),(24,1),(49,1),(51,1),(52,1)}
        37:{2,4,6}:{(22,1),(23,1),(25,1),(50,1),(51,1),(52,1),(53,1)}
        38:{2,3,5}:{(23,1),(26,1),(52,1),(53,1),(58,1),(83,1),(86,1)}
        39:{1,6}:{(24,1),(28,1),(51,1)}
        40:{1,5}:{(25,1),(29,1),(52,1)}
        41:{1,4}:{(26,1),(30,1),(53,1)}
        42:{1,3}:{(27,1),(58,1)}
        43:{2,6,7}:{(28,1),(31,1),(54,1),(59,1)}
        44:{2,5,6}:{(28,1),(29,1),(32,1),(55,1),(59,1),(60,1)}
        45:{2,4,5}:{(29,1),(30,1),(33,1),(56,1),(60,1),(61,1),(86,1)}
        46:{3,4}:{(30,1),(61,1)}
        47:{3,5,7}:{(31,1),(32,1),(34,1),(59,1),(62,1),(89,1)}
        48:{4,6}:{(32,1),(33,1),(62,1)}
        49:{3,5,7}:{(35,1),(36,1),(63,1),(64,1),(65,1)}
        50:{3,4,6}:{(35,1),(37,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        51:{2,6}:{(36,1),(39,1),(64,1)}
        52:{2,5}:{(37,1),(40,1),(65,1)}
        53:{2,4}:{(38,1),(41,1),(69,1)}
        54:{1,6,7}:{(39,1),(43,1),(66,1),(70,1)}
        55:{1,5,6}:{(39,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        56:{1,4,5}:{(40,1),(41,1),(45,1),(68,1),(71,1),(72,1),(98,1)}
        57:{1,3,4}:{(41,1),(42,1),(46,1),(69,1),(72,1),(73,1)}
        58:{2,3}:{(42,1),(73,1),(74,1)}
        59:{2,5,7}:{(43,1),(44,1),(47,1),(70,1),(75,1)}
        60:{2,4,6}:{(44,1),(45,1),(48,1),(71,1),(75,1),(76,1),(97,1)}
        61:{3,5}:{(45,1),(46,1),(76,1)}
        62:{4,7}:{(47,1),(48,1)}
        63:{4,5,7}:{(49,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(49,1),(51,1),(77,1)}
        65:{3,5}:{(50,1),(52,1),(80,1)}
        66:{2,6,7}:{(51,1),(54,1),(78,1),(81,1)}
        67:{2,5,6}:{(51,1),(52,1),(55,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(52,1),(53,1),(56,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(53,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,4,6}:{(55,1),(56,1),(60,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(56,1),(57,1),(61,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(57,1),(58,1),(86,1),(87,1)}
        74:{1,3}:{(58,1),(87,1),(88,1)}
        75:{2,4,7}:{(59,1),(60,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(60,1),(61,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 967 :  0:{1,2}:{(4,1)}
        1:{2,3}:{(4,1),(5,1)}
        2:{3,4}:{(5,1),(6,1)}
        3:{4,5}:{(6,1),(7,1)}
        4:{1,3}:{(0,1),(1,1),(8,1),(9,1)}
        5:{2,4}:{(1,1),(2,1),(9,1),(10,1)}
        6:{3,5}:{(2,1),(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(11,1),(12,1),(13,1)}
        8:{2,3}:{(4,1),(14,1)}
        9:{1,4}:{(4,1),(5,1),(14,1),(15,1)}
       10:{2,5}:{(5,1),(6,1),(15,1),(16,1)}
       11:{3,6}:{(6,1),(7,1),(16,1),(17,1)}
       12:{5,6}:{(7,1),(18,1)}
       13:{4,7}:{(7,1),(17,1),(18,1)}
       14:{2,4}:{(8,1),(9,1),(19,1),(20,1)}
       15:{1,5}:{(9,1),(10,1),(20,1),(21,1)}
       16:{2,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{3,7}:{(11,1),(13,1),(22,1)}
       18:{5,7}:{(12,1),(13,1),(23,1)}
       19:{3,4}:{(14,1),(24,1)}
       20:{2,5}:{(14,1),(15,1),(24,1),(25,1)}
       21:{1,6}:{(15,1),(16,1),(25,1),(26,1)}
       22:{2,7}:{(16,1),(17,1),(26,1)}
       23:{6,7}:{(18,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1)}
       25:{2,6}:{(20,1),(21,1),(28,1),(29,1)}
       26:{1,7}:{(21,1),(22,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 968 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

 969 :   0:{4,5,7}:{(3,1),(4,1),(20,1),(27,1),(46,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(46,1),(73,1)}
         2:{2,3,7}:{(5,1),(7,1),(8,1),(73,1),(98,1)}
         3:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(15,1)}
         4:{4,6}:{(0,1),(11,1),(12,1)}
         5:{2,4,7}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
         6:{3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(43,1),(64,1)}
         7:{1,3,7}:{(2,1),(13,1),(16,1),(17,1),(37,1),(110,1)}
         8:{2,3,6}:{(2,1),(14,1),(17,1),(18,1),(64,1),(90,1)}
         9:{4,6,7}:{(4,1),(19,1),(20,1),(46,1),(145,1)}
        10:{2,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1)}
        11:{3,6}:{(3,1),(4,1),(22,1)}
        12:{5,6}:{(4,1),(20,1)}
        13:{1,4,7}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{2,4,6}:{(5,1),(6,1),(8,1),(22,1),(25,1),(26,1),(30,1)}
        15:{3,5}:{(6,1),(26,1),(27,1)}
        16:{2,7}:{(7,1),(28,1)}
        17:{1,3,6}:{(7,1),(8,1),(25,1),(28,1),(29,1),(51,1),(102,1)}
        18:{2,3,5}:{(8,1),(26,1),(29,1),(30,1),(54,1),(80,1),(81,1)}
        19:{3,6,7}:{(9,1),(11,1),(31,1),(32,1),(143,1)}
        20:{5,7}:{(9,1),(12,1),(146,1)}
        21:{1,5,7}:{(10,1),(13,1),(33,1),(34,1),(39,1)}
        22:{2,6}:{(10,1),(11,1),(34,1)}
        23:{3,5,6}:{(11,1),(12,1),(15,1),(32,1),(35,1),(36,1),(64,1),(139,1),(143,1),(146,1)}
        24:{2,4,7}:{(13,1),(16,1),(33,1),(37,1),(38,1),(60,1)}
        25:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(38,1),(39,1),(42,1)}
        26:{2,5}:{(14,1),(15,1),(39,1)}
        27:{4,5}:{(15,1),(36,1),(146,1)}
        28:{2,6}:{(16,1),(17,1),(41,1)}
        29:{1,3,5}:{(17,1),(18,1),(39,1),(41,1),(42,1),(65,1),(68,1),(93,1),(94,1)}
        30:{2,4}:{(18,1),(42,1),(43,1)}
        31:{2,6,7}:{(19,1),(22,1),(44,1),(45,1),(140,1)}
        32:{3,5,7}:{(19,1),(20,1),(23,1),(45,1),(46,1),(73,1)}
        33:{2,5,7}:{(21,1),(24,1),(47,1),(48,1),(52,1)}
        34:{1,6}:{(21,1),(22,1),(48,1)}
        35:{2,5,6}:{(22,1),(23,1),(26,1),(45,1),(49,1),(50,1),(134,1),(140,1)}
        36:{4,6}:{(23,1),(27,1),(46,1),(142,1)}
        37:{3,7}:{(24,1),(51,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(48,1),(51,1),(52,1),(55,1),(74,1),(78,1)}
        39:{1,5}:{(25,1),(26,1),(52,1)}
        40:{2,4,5}:{(26,1),(27,1),(30,1),(50,1),(53,1),(54,1),(80,1),(123,1),(134,1),(142,1)}
        41:{2,5}:{(28,1),(29,1),(55,1),(105,1)}
        42:{1,4}:{(29,1),(30,1),(55,1),(78,1)}
        43:{3,4}:{(30,1),(54,1),(142,1)}
        44:{1,6,7}:{(31,1),(34,1),(57,1),(58,1),(136,1)}
        45:{2,5,7}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
        46:{4,7}:{(32,1),(36,1)}
        47:{3,5,7}:{(33,1),(37,1),(60,1),(61,1),(65,1),(87,1)}
        48:{2,6}:{(33,1),(34,1),(61,1)}
        49:{1,5,6}:{(34,1),(35,1),(39,1),(58,1),(62,1),(63,1),(128,1),(136,1)}
        50:{2,4,6}:{(35,1),(36,1),(40,1),(59,1),(63,1),(64,1),(90,1)}
        51:{3,6}:{(37,1),(38,1),(65,1),(68,1)}
        52:{2,5}:{(38,1),(39,1),(65,1),(87,1)}
        53:{1,4,5}:{(39,1),(40,1),(42,1),(63,1),(66,1),(67,1),(93,1),(114,1),(128,1)}
        54:{3,5}:{(40,1),(43,1),(64,1),(130,1)}
        55:{2,4}:{(41,1),(42,1),(68,1)}
        56:{1,3,4}:{(42,1),(43,1),(67,1),(68,1),(69,1),(91,1),(94,1),(114,1),(130,1)}
        57:{2,6,7}:{(44,1),(48,1),(70,1),(71,1),(131,1)}
        58:{1,5,7}:{(44,1),(45,1),(49,1),(71,1),(72,1)}
        59:{2,4,7}:{(45,1),(46,1),(50,1),(72,1),(73,1),(98,1)}
        60:{4,7}:{(47,1),(74,1),(78,1)}
        61:{3,6}:{(47,1),(48,1),(74,1)}
        62:{2,5,6}:{(48,1),(49,1),(52,1),(71,1),(75,1),(76,1),(120,1),(131,1)}
        63:{1,4,6}:{(49,1),(50,1),(53,1),(72,1),(76,1),(77,1),(102,1)}
        64:{3,6}:{(50,1),(54,1),(73,1)}
        65:{3,5}:{(51,1),(52,1),(78,1)}
        66:{2,4,5}:{(52,1),(53,1),(55,1),(76,1),(78,1),(79,1),(80,1),(99,1),(103,1),(120,1)}
        67:{1,3,5}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1)}
        68:{3}:{(55,1)}
        69:{2,4}:{(56,1),(80,1),(81,1),(82,1),(105,1)}
        70:{3,6,7}:{(57,1),(61,1),(83,1),(84,1),(124,1)}
        71:{2,5,7}:{(57,1),(58,1),(62,1),(84,1),(85,1)}
        72:{1,4,7}:{(58,1),(59,1),(63,1),(85,1),(86,1),(110,1)}
        73:{3,7}:{(59,1),(64,1)}
        74:{4,6}:{(60,1),(61,1),(87,1)}
        75:{3,5,6}:{(61,1),(62,1),(65,1),(84,1),(87,1),(88,1),(89,1),(106,1),(111,1),(124,1)}
        76:{2,4,6}:{(62,1),(63,1),(66,1),(85,1),(88,1),(89,1),(90,1)}
        77:{1,3,6}:{(63,1),(64,1),(67,1),(86,1),(89,1),(90,1)}
        78:{4}:{(65,1)}
        79:{3,5}:{(66,1),(68,1),(89,1),(91,1)}
        80:{2,5}:{(67,1),(69,1),(90,1),(93,1)}
        81:{2,3}:{(68,1),(69,1),(94,1),(130,1)}
        82:{1,4}:{(69,1),(93,1),(94,1)}
        83:{4,6,7}:{(70,1),(74,1),(95,1),(96,1),(116,1)}
        84:{3,5,7}:{(70,1),(71,1),(75,1),(95,1),(96,1),(97,1)}
        85:{2,4,7}:{(71,1),(72,1),(76,1),(96,1),(97,1),(98,1)}
        86:{1,3,7}:{(72,1),(73,1),(77,1),(97,1),(98,1)}
        87:{5}:{(74,1)}
        88:{4,6}:{(75,1),(78,1),(96,1),(99,1)}
        89:{3,6}:{(76,1),(79,1),(97,1)}
        90:{2,6}:{(77,1),(80,1),(98,1),(102,1)}
        91:{3,4}:{(78,1),(79,1),(103,1)}
        92:{2,3,5}:{(79,1),(80,1),(81,1),(101,1),(103,1),(104,1),(120,1)}
        93:{1,5}:{(80,1),(82,1),(102,1)}
        94:{1,3}:{(81,1),(82,1),(105,1)}
        95:{5,7}:{(83,1),(87,1),(106,1)}
        96:{4,7}:{(84,1),(88,1)}
        97:{3,7}:{(85,1),(89,1)}
        98:{2,7}:{(86,1),(90,1),(110,1)}
        99:{4,5}:{(87,1),(88,1),(111,1)}
       100:{3,4,6}:{(88,1),(89,1),(91,1),(108,1),(111,1),(112,1),(124,1)}
       101:{2,3,6}:{(89,1),(90,1),(92,1),(109,1),(112,1),(113,1)}
       102:{1,6}:{(90,1),(93,1),(110,1)}
       103:{2,4}:{(91,1),(92,1),(114,1)}
       104:{1,3,5}:{(92,1),(93,1),(94,1),(113,1),(114,1),(115,1),(128,1),(130,1),(139,1)}
       105:{2}:{(94,1)}
       106:{5,6}:{(95,1),(116,1)}
       107:{4,5,7}:{(95,1),(96,1),(99,1),(116,1),(117,1)}
       108:{3,4,7}:{(96,1),(97,1),(100,1),(117,1),(118,1)}
       109:{2,3,7}:{(97,1),(98,1),(101,1),(118,1),(119,1)}
       110:{1,7}:{(98,1),(102,1)}
       111:{3,5}:{(99,1),(100,1),(120,1)}
       112:{2,4,6}:{(100,1),(101,1),(103,1),(118,1),(120,1),(121,1),(131,1)}
       113:{1,3,6}:{(101,1),(102,1),(104,1),(119,1),(121,1),(122,1),(135,1)}
       114:{1,4}:{(103,1),(104,1),(123,1),(142,1)}
       115:{2,5}:{(104,1),(105,1),(122,1),(123,1)}
       116:{4,6}:{(106,1),(107,1),(124,1)}
       117:{3,5,7}:{(107,1),(108,1),(111,1),(124,1),(125,1)}
       118:{2,4,7}:{(108,1),(109,1),(112,1),(125,1),(126,1)}
       119:{1,3,7}:{(109,1),(110,1),(113,1),(126,1),(127,1),(138,1)}
       120:{2,5}:{(111,1),(112,1),(128,1)}
       121:{1,4,6}:{(112,1),(113,1),(114,1),(126,1),(128,1),(129,1),(136,1)}
       122:{2,6}:{(113,1),(115,1),(127,1)}
       123:{2,4}:{(114,1),(115,1),(130,1)}
       124:{3,6}:{(116,1),(117,1),(131,1)}
       125:{2,5,7}:{(117,1),(118,1),(120,1),(131,1),(132,1)}
       126:{1,4,7}:{(118,1),(119,1),(121,1),(132,1),(133,1)}
       127:{2,7}:{(119,1),(122,1)}
       128:{1,5}:{(120,1),(121,1),(134,1)}
       129:{2,4,6}:{(121,1),(122,1),(123,1),(133,1),(134,1),(135,1),(140,1),(142,1),(145,1)}
       130:{3}:{(123,1)}
       131:{2,6}:{(124,1),(125,1),(136,1)}
       132:{1,5,7}:{(125,1),(126,1),(128,1),(136,1),(137,1)}
       133:{2,4,7}:{(126,1),(127,1),(129,1),(137,1),(138,1),(144,1)}
       134:{2,5}:{(128,1),(129,1),(139,1),(146,1)}
       135:{3,6}:{(129,1),(130,1),(138,1),(139,1)}
       136:{1,6}:{(131,1),(132,1),(140,1)}
       137:{2,5,7}:{(132,1),(133,1),(134,1),(140,1),(141,1)}
       138:{3,7}:{(133,1),(135,1)}
       139:{3,5}:{(134,1),(135,1),(142,1)}
       140:{2,6}:{(136,1),(137,1),(143,1)}
       141:{3,5,7}:{(137,1),(138,1),(139,1),(143,1),(144,1),(146,1)}
       142:{4}:{(139,1)}
       143:{3,6}:{(140,1),(141,1),(145,1)}
       144:{4,7}:{(141,1),(142,1),(145,1)}
       145:{4,6}:{(143,1),(144,1),(146,1)}
       146:{5}:{(145,1)}

 970 :  0:{1,2}:{(5,1)}
        1:{2,3}:{(5,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{4,5}:{(7,1),(8,1)}
        4:{5,6}:{(8,1),(9,1)}
        5:{1,3}:{(0,1),(1,1),(10,1),(11,1)}
        6:{2,4}:{(1,1),(2,1),(11,1),(12,1)}
        7:{3,5}:{(2,1),(3,1),(12,1),(13,1)}
        8:{4,6}:{(3,1),(4,1),(13,1),(14,1)}
        9:{5,7}:{(4,1),(14,1),(15,1)}
       10:{2,3}:{(5,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,5}:{(6,1),(7,1),(17,1),(18,1)}
       13:{3,6}:{(7,1),(8,1),(18,1),(19,1)}
       14:{4,7}:{(8,1),(9,1),(19,1)}
       15:{6,7}:{(9,1)}
       16:{2,4}:{(10,1),(11,1),(20,1),(21,1)}
       17:{1,5}:{(11,1),(12,1),(21,1),(22,1)}
       18:{2,6}:{(12,1),(13,1),(22,1),(23,1)}
       19:{3,7}:{(13,1),(14,1),(23,1)}
       20:{3,4}:{(16,1),(24,1)}
       21:{2,5}:{(16,1),(17,1),(24,1),(25,1)}
       22:{1,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,7}:{(18,1),(19,1),(26,1)}
       24:{3,5}:{(20,1),(21,1),(27,1),(28,1)}
       25:{2,6}:{(21,1),(22,1),(28,1),(29,1)}
       26:{1,7}:{(22,1),(23,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

 971 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(81,1),(326,1),(345,1),(359,1),(363,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(35,1),(43,1),(225,1),(241,1),(260,1),(363,1),(367,1),(448,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(113,1),(308,1),(311,1),(410,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(54,1),(275,1),(293,1),(394,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(52,1),(313,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(40,1),(43,1),(239,1),(255,1),(258,1),(345,1),(368,1),(435,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(151,1),(448,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(448,1),(452,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(79,1),(435,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(43,1),(241,1),(265,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(52,1),(63,1),(105,1),(130,1),(182,1),(191,1),(316,1),(319,1),(413,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(60,1),(67,1),(109,1),(113,1),(190,1),(206,1),(208,1),(297,1),(321,1),(398,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(291,1),(414,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(130,1),(311,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(293,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(52,1),(67,1),(196,1),(219,1)}
        18:{1,2,5,6,7}:{(13,1),(31,1),(33,1),(151,1),(231,1),(330,1),(339,1),(344,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(77,1),(79,1),(142,1),(151,1),(229,1),(240,1),(344,1),(348,1),(435,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(32,1),(34,1),(35,1),(43,1),(241,1),(369,1)}
        21:{1,3,4,6,7}:{(11,1),(36,1),(37,1),(46,1),(87,1),(97,1),(152,1),(159,1),(161,1),(248,1),(271,1),(352,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(37,1),(38,1),(39,1),(147,1),(151,1),(238,1),(371,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(38,1),(40,1),(43,1),(258,1),(262,1)}
        24:{1,4,5,7}:{(12,1),(39,1),(40,1),(435,1),(452,1)}
        25:{1,3,4,5}:{(15,1),(32,1),(42,1),(452,1),(453,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(17,1),(42,1),(45,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(44,1),(46,1),(79,1),(245,1)}
        30:{1,3,4,6}:{(17,1),(45,1),(46,1),(47,1),(80,1),(97,1),(154,1),(175,1)}
        31:{1,3,5,6,7}:{(18,1),(23,1),(49,1),(50,1),(53,1),(112,1),(288,1),(291,1),(394,1)}
        32:{1,3,4,6}:{(20,1),(25,1),(51,1),(52,1),(413,1),(415,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(50,1),(53,1),(113,1),(184,1),(279,1),(379,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(53,1),(54,1),(293,1),(397,1)}
        35:{2,3,5,6}:{(20,1),(28,1),(52,1),(54,1),(55,1),(67,1),(130,1),(182,1),(196,1)}
        36:{1,2,4,6,7}:{(21,1),(56,1),(57,1),(70,1),(120,1),(121,1),(134,1),(190,1),(223,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(197,1),(323,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(67,1),(126,1),(130,1),(208,1),(211,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(61,1),(398,1),(416,1)}
        40:{1,4,6}:{(23,1),(24,1),(60,1)}
        41:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(51,1),(61,1),(64,1),(65,1),(112,1)}
        42:{2,4,5}:{(25,1),(28,1),(52,1),(66,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(28,1),(30,1),(66,1),(69,1)}
        46:{1,3,4,7}:{(29,1),(30,1),(68,1),(70,1),(114,1),(199,1)}
        47:{1,2,4,6}:{(30,1),(69,1),(70,1),(71,1),(134,1),(136,1)}
        48:{1,3,4,5,6}:{(32,1),(72,1),(73,1),(93,1),(139,1),(167,1),(234,1),(266,1),(369,1),(427,1)}
        49:{2,3,5,6,7}:{(31,1),(38,1),(74,1),(75,1),(81,1),(147,1),(151,1),(236,1),(238,1),(330,1),(349,1),(422,1)}
        50:{1,4,6,7}:{(31,1),(40,1),(75,1),(77,1),(435,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(79,1),(435,1),(438,1)}
        52:{2,4,6}:{(32,1),(35,1),(42,1),(79,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1),(43,1),(81,1),(422,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(151,1),(229,1),(245,1)}
        55:{1,3,5,6}:{(35,1),(45,1),(80,1),(82,1),(83,1),(97,1),(154,1),(172,1)}
        56:{1,2,3,6,7}:{(36,1),(84,1),(100,1),(161,1),(176,1),(236,1),(248,1),(485,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(85,1),(238,1),(272,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(85,1),(87,1),(97,1),(161,1),(172,1)}
        59:{1,4,5,7}:{(37,1),(39,1),(87,1),(352,1),(372,1)}
        60:{2,4,6}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{3,4,5,7}:{(39,1),(90,1),(147,1),(438,1),(453,1)}
        62:{2,3,4,5}:{(42,1),(76,1),(92,1),(171,1),(333,1),(453,1)}
        63:{1,4,5,6}:{(40,1),(77,1),(89,1),(93,1),(262,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(90,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(44,1),(79,1),(94,1),(95,1),(151,1)}
        66:{1,4,5}:{(42,1),(45,1),(80,1)}
        67:{2,3,6}:{(43,1),(44,1),(94,1),(97,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(46,1),(95,1),(97,1),(98,1)}
        69:{1,2,5}:{(45,1),(47,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(98,1),(100,1)}
        71:{1,2,3,6}:{(47,1),(99,1),(100,1),(154,1)}
        72:{1,3,4,5,7}:{(48,1),(51,1),(103,1),(104,1),(112,1),(181,1),(192,1),(284,1),(295,1),(384,1),(397,1)}
        73:{2,4,5,6}:{(48,1),(52,1),(101,1),(104,1),(105,1),(130,1),(182,1),(281,1),(461,1)}
        74:{1,3,5,6,7}:{(49,1),(58,1),(106,1),(107,1),(116,1),(188,1),(189,1),(197,1),(300,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(60,1),(107,1),(108,1),(109,1),(398,1)}
        76:{2,3,4,6}:{(52,1),(62,1),(101,1),(110,1),(111,1),(196,1),(281,1),(415,1)}
        77:{1,4,5,7}:{(50,1),(63,1),(108,1),(112,1),(291,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(64,1),(109,1),(112,1),(113,1)}
        79:{2,4,7}:{(51,1),(52,1),(54,1),(114,1)}
        80:{1,4,6}:{(52,1),(55,1),(66,1),(114,1)}
        81:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(116,1),(279,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(114,1),(116,1),(117,1),(197,1),(199,1)}
        83:{1,2,5,6}:{(55,1),(69,1),(115,1),(117,1),(134,1),(182,1)}
        84:{1,2,3,5,7}:{(56,1),(57,1),(119,1),(120,1),(122,1),(287,1),(300,1),(468,1),(515,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(121,1),(134,1),(211,1)}
        86:{1,2,4,5,7}:{(57,1),(59,1),(120,1),(121,1),(122,1),(125,1),(204,1)}
        87:{1,4,6}:{(58,1),(59,1),(60,1)}
        88:{1,3,4,5,7}:{(59,1),(61,1),(122,1),(124,1),(125,1),(189,1),(286,1),(305,1)}
        89:{2,4,5,6}:{(60,1),(63,1),(108,1),(123,1),(126,1),(130,1),(211,1)}
        90:{3,4,6}:{(60,1),(61,1),(126,1)}
        91:{2,3,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(125,1),(127,1),(128,1),(193,1),(218,1),(382,1),(386,1),(398,1),(403,1),(416,1),(473,1),(520,1)}
        92:{1,3,4,5}:{(62,1),(66,1),(111,1),(129,1),(133,1),(214,1),(378,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(112,1),(126,1),(130,1)}
        94:{2,4,6}:{(64,1),(65,1),(67,1),(130,1),(131,1)}
        95:{1,4,5,7}:{(65,1),(66,1),(68,1),(114,1),(131,1),(197,1)}
        96:{1,2,4,5}:{(66,1),(69,1),(115,1),(129,1),(133,1),(136,1)}
        97:{1,3,6}:{(67,1),(68,1),(131,1),(134,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(134,1)}
        99:{1,2,3,5}:{(69,1),(71,1),(133,1),(136,1)}
       100:{1,2,3,7}:{(70,1),(71,1),(199,1)}
       101:{2,3,5,6}:{(73,1),(76,1),(138,1),(139,1),(369,1)}
       102:{1,4,5,6,7}:{(77,1),(137,1),(140,1),(325,1),(329,1),(426,1)}
       103:{1,3,4,6,7}:{(72,1),(140,1),(141,1),(226,1),(228,1),(329,1),(422,1)}
       104:{2,4,5,7}:{(72,1),(73,1),(79,1),(138,1),(141,1),(142,1),(151,1),(229,1),(332,1),(424,1)}
       105:{1,4,5,6}:{(73,1),(80,1),(139,1),(142,1),(172,1),(328,1),(489,1)}
       106:{1,2,5,6,7}:{(74,1),(85,1),(144,1),(155,1),(238,1),(247,1),(325,1),(330,1)}
       107:{1,4,6,7}:{(74,1),(75,1),(87,1),(145,1),(352,1)}
       108:{2,4,5,7}:{(75,1),(77,1),(89,1),(145,1),(147,1),(151,1),(238,1)}
       109:{3,4,6,7}:{(75,1),(90,1),(147,1),(422,1),(438,1)}
       110:{2,3,4,7}:{(76,1),(79,1),(138,1),(149,1),(245,1),(332,1),(438,1)}
       111:{1,3,4,6}:{(76,1),(80,1),(92,1),(139,1),(149,1),(150,1),(154,1),(241,1),(328,1)}
       112:{1,3,5,7}:{(77,1),(78,1),(93,1),(147,1),(151,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(81,1),(94,1),(151,1),(152,1)}
       114:{1,4,7}:{(79,1),(80,1),(82,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(96,1),(150,1),(153,1),(154,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(97,1),(152,1),(155,1)}
       117:{1,2,5,7}:{(82,1),(83,1),(153,1),(155,1),(229,1)}
       118:{1,2,3,5,6}:{(83,1),(99,1),(154,1),(156,1),(157,1),(176,1),(230,1),(250,1),(270,1),(272,1),(354,1),(355,1)}
       119:{1,2,3,5,6}:{(84,1),(85,1),(158,1),(161,1),(176,1),(253,1),(257,1),(270,1),(272,1),(449,1),(505,1),(537,1)}
       120:{1,2,4,7}:{(84,1),(158,1),(159,1),(337,1),(352,1)}
       121:{1,2,4,6}:{(85,1),(86,1),(87,1),(161,1),(164,1)}
       122:{1,3,5,7}:{(86,1),(159,1),(161,1),(162,1),(253,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(145,1),(163,1),(172,1)}
       124:{1,3,4,6}:{(87,1),(88,1),(90,1),(161,1),(163,1),(164,1)}
       125:{2,4,5,7}:{(88,1),(162,1),(164,1),(165,1),(238,1),(337,1),(356,1)}
       126:{3,5,6}:{(89,1),(90,1),(147,1)}
       127:{2,3,4,6}:{(90,1),(91,1),(94,1),(164,1),(168,1),(169,1),(268,1),(370,1),(425,1),(501,1),(536,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(95,1),(149,1),(165,1),(169,1),(170,1),(174,1),(243,1),(264,1),(352,1),(372,1),(421,1),(428,1),(435,1),(438,1),(442,1),(452,1),(453,1),(535,1)}
       129:{2,4,5}:{(92,1),(150,1),(171,1)}
       130:{2,5,6}:{(93,1),(94,1),(151,1),(172,1)}
       131:{1,4,6}:{(94,1),(95,1),(97,1),(172,1)}
       132:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(153,1),(170,1),(173,1),(174,1),(177,1),(247,1),(272,1),(352,1),(372,1),(492,1),(502,1),(535,1),(550,1)}
       133:{1,3,5}:{(96,1),(154,1),(171,1),(175,1)}
       134:{1,2,6}:{(97,1),(98,1)}
       135:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(174,1),(176,1),(177,1),(272,1),(531,1),(537,1),(550,1)}
       136:{1,2,4}:{(99,1),(175,1)}
       137:{2,4,5,6,7}:{(102,1),(108,1),(178,1),(179,1),(183,1),(274,1),(277,1),(379,1),(460,1)}
       138:{2,3,5,7}:{(101,1),(104,1),(110,1),(180,1),(181,1),(397,1)}
       139:{1,3,5,6}:{(101,1),(105,1),(111,1),(181,1),(182,1)}
       140:{1,3,5,6,7}:{(102,1),(103,1),(112,1),(179,1),(183,1),(384,1)}
       141:{2,4,6,7}:{(103,1),(104,1),(180,1),(183,1),(184,1),(279,1)}
       142:{1,4,5,7}:{(104,1),(105,1),(114,1),(181,1),(184,1),(197,1),(377,1),(457,1)}
       143:{1,2,4,5,6}:{(105,1),(115,1),(182,1),(185,1),(186,1),(203,1),(220,1),(281,1),(304,1),(319,1),(322,1),(461,1),(462,1)}
       144:{1,2,4,6,7}:{(106,1),(107,1),(121,1),(187,1),(188,1),(190,1),(374,1),(379,1),(454,1)}
       145:{1,4,5,7}:{(107,1),(108,1),(123,1),(189,1),(197,1)}
       146:{1,3,4,6,7}:{(107,1),(109,1),(124,1),(188,1),(189,1),(190,1),(286,1)}
       147:{3,5,7}:{(108,1),(109,1),(126,1)}
       148:{2,3,4,6,7}:{(109,1),(110,1),(113,1),(127,1),(180,1),(190,1),(193,1),(194,1),(277,1),(297,1),(373,1),(381,1),(386,1),(398,1),(459,1),(511,1)}
       149:{1,3,4,7}:{(110,1),(111,1),(114,1),(181,1),(195,1),(199,1),(293,1),(377,1)}
       150:{2,4,6}:{(111,1),(129,1),(182,1),(195,1),(196,1)}
       151:{2,5,7}:{(112,1),(113,1),(130,1),(197,1)}
       152:{1,4,6,7}:{(113,1),(114,1),(116,1),(131,1),(197,1)}
       153:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{1,3,6}:{(115,1),(133,1),(196,1),(199,1)}
       155:{1,2,6,7}:{(116,1),(117,1),(134,1),(279,1)}
       156:{1,2,3,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(280,1),(300,1),(302,1),(303,1)}
       157:{1,2,4,6}:{(118,1),(136,1),(200,1),(202,1),(203,1),(281,1),(322,1)}
       158:{1,2,4,6}:{(119,1),(120,1),(204,1),(205,1),(309,1),(322,1),(547,1)}
       159:{1,3,4,7}:{(120,1),(122,1),(205,1),(206,1),(515,1)}
       160:{1,2,4,5,6}:{(121,1),(123,1),(187,1),(204,1),(207,1),(211,1),(220,1),(309,1),(315,1),(319,1),(322,1),(411,1),(478,1)}
       161:{1,3,6}:{(121,1),(122,1),(208,1)}
       162:{2,3,5,7}:{(122,1),(125,1),(206,1),(208,1),(209,1),(306,1)}
       163:{1,3,5,6}:{(123,1),(124,1),(126,1),(189,1),(211,1)}
       164:{2,4,6}:{(124,1),(125,1),(208,1),(211,1),(212,1)}
       165:{1,4,5,7}:{(125,1),(209,1),(212,1),(291,1),(387,1),(404,1)}
       166:{1,2,4,5}:{(129,1),(191,1),(214,1),(313,1),(378,1),(391,1)}
       167:{3,4,5,6}:{(126,1),(192,1),(215,1),(415,1),(514,1)}
       168:{2,3,5,6}:{(126,1),(127,1),(130,1),(193,1),(211,1),(215,1),(216,1),(461,1),(514,1),(542,1)}
       169:{1,3,4,6}:{(127,1),(128,1),(131,1),(212,1),(216,1),(217,1),(221,1),(317,1),(322,1),(413,1),(415,1),(458,1),(546,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(195,1),(217,1),(218,1),(296,1),(398,1),(416,1),(463,1),(475,1)}
       171:{2,3,5}:{(129,1),(133,1),(196,1),(214,1),(219,1)}
       172:{1,5,6}:{(130,1),(131,1),(197,1)}
       173:{1,2,4,6}:{(131,1),(132,1),(134,1),(217,1),(220,1),(221,1),(322,1),(546,1),(552,1)}
       174:{1,3,5,7}:{(132,1),(133,1),(199,1),(218,1),(221,1),(222,1),(323,1),(515,1),(522,1)}
       175:{1,3,4}:{(133,1),(136,1),(219,1)}
       176:{1,2,3,6}:{(134,1),(135,1),(221,1),(223,1),(552,1)}
       177:{1,2,4,7}:{(135,1),(136,1),(222,1),(223,1),(547,1)}
       178:{1,4,5,6,7}:{(137,1),(145,1),(224,1),(231,1),(329,1),(488,1)}
       179:{3,5,6,7}:{(137,1),(147,1),(226,1),(422,1),(490,1)}
       180:{2,3,6,7}:{(138,1),(141,1),(228,1),(422,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(228,1),(229,1)}
       182:{2,5,6}:{(139,1),(150,1),(229,1)}
       183:{2,5,6,7}:{(140,1),(141,1),(151,1),(231,1),(424,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(228,1),(231,1)}
       185:{1,2,4,5,7}:{(142,1),(143,1),(153,1),(229,1),(232,1),(233,1),(247,1),(332,1),(348,1),(352,1),(424,1),(426,1)}
       186:{1,3,5,6}:{(143,1),(154,1),(230,1),(233,1),(234,1),(250,1),(354,1),(369,1)}
       187:{1,2,4,5,7}:{(144,1),(145,1),(160,1),(235,1),(238,1),(247,1),(337,1),(343,1),(348,1),(352,1),(433,1),(492,1)}
       188:{1,3,6,7}:{(144,1),(161,1),(235,1),(236,1),(422,1)}
       189:{1,3,5,7}:{(145,1),(146,1),(147,1),(163,1),(238,1)}
       190:{2,4,6,7}:{(146,1),(164,1),(236,1),(238,1),(239,1),(337,1)}
       191:{1,2,4,6}:{(150,1),(166,1),(225,1),(240,1),(241,1),(328,1)}
       192:{3,4,5,7}:{(147,1),(167,1),(226,1),(242,1),(438,1),(490,1)}
       193:{2,3,5,7}:{(147,1),(148,1),(151,1),(168,1),(238,1),(242,1),(243,1),(424,1),(490,1),(529,1)}
       194:{1,3,4,6,7}:{(148,1),(149,1),(152,1),(169,1),(228,1),(239,1),(243,1),(244,1),(248,1),(329,1),(345,1),(352,1),(417,1),(420,1),(422,1),(428,1),(435,1),(438,1),(528,1)}
       195:{2,4,7}:{(149,1),(150,1),(229,1),(245,1)}
       196:{2,3,6}:{(150,1),(154,1),(171,1),(241,1),(245,1)}
       197:{1,5,7}:{(151,1),(152,1),(172,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(173,1),(244,1),(247,1),(248,1),(352,1),(485,1),(492,1),(528,1)}
       199:{1,3,7}:{(153,1),(154,1),(245,1)}
       200:{1,3,4,6}:{(154,1),(157,1),(175,1),(246,1),(249,1),(250,1),(354,1)}
       201:{1,2,3,6,7}:{(155,1),(156,1),(176,1),(248,1),(251,1),(331,1),(354,1),(531,1)}
       202:{1,2,4,7}:{(156,1),(157,1),(249,1),(332,1),(352,1)}
       203:{1,2,4,5}:{(157,1),(250,1),(272,1),(333,1),(372,1)}
       204:{1,2,4,5}:{(158,1),(253,1),(272,1),(356,1),(372,1)}
       205:{1,3,4,6}:{(158,1),(159,1),(161,1),(253,1),(254,1),(505,1),(538,1)}
       206:{2,3,4,7}:{(159,1),(162,1),(254,1),(255,1),(337,1),(493,1)}
       207:{1,3,5,6}:{(160,1),(161,1),(235,1),(253,1),(256,1),(257,1),(369,1),(505,1)}
       208:{2,3,6}:{(161,1),(162,1),(164,1),(258,1)}
       209:{1,3,5,7}:{(162,1),(165,1),(255,1),(258,1),(259,1),(357,1)}
       210:{1,3,4,5,6}:{(163,1),(167,1),(237,1),(256,1),(261,1),(266,1),(365,1),(369,1),(451,1),(530,1)}
       211:{2,5,6}:{(163,1),(164,1),(238,1),(262,1)}
       212:{1,4,6}:{(164,1),(165,1),(258,1),(262,1)}
       213:{1,2,4,5,7}:{(165,1),(166,1),(170,1),(240,1),(259,1),(263,1),(264,1),(344,1),(364,1),(421,1),(429,1),(432,1),(435,1),(443,1),(448,1),(452,1)}
       214:{1,3,5}:{(166,1),(171,1),(241,1),(265,1)}
       215:{2,4,5,6}:{(167,1),(168,1),(242,1),(266,1),(370,1)}
       216:{1,3,5,6}:{(168,1),(169,1),(172,1),(243,1),(262,1),(266,1),(267,1),(369,1),(489,1),(549,1)}
       217:{2,4,6}:{(169,1),(170,1),(267,1),(268,1)}
       218:{2,3,5,7}:{(170,1),(171,1),(174,1),(245,1),(264,1),(268,1),(269,1),(371,1),(493,1),(503,1)}
       219:{2,3,4}:{(171,1),(175,1),(265,1)}
       220:{1,2,5,6}:{(172,1),(173,1),(247,1),(267,1),(270,1),(272,1),(549,1)}
       221:{1,3,6}:{(173,1),(174,1),(268,1)}
       222:{1,3,4,7}:{(174,1),(175,1),(177,1),(269,1),(271,1),(352,1),(538,1)}
       223:{1,2,4,6}:{(176,1),(177,1),(271,1),(272,1)}
       224:{1,3,5,6,7}:{(178,1),(179,1),(189,1),(273,1),(274,1),(512,1)}
       225:{1,2,5,6}:{(182,1),(191,1),(275,1),(276,1),(391,1),(467,1)}
       226:{3,4,6,7}:{(179,1),(192,1),(277,1)}
       227:{2,3,5,6,7}:{(179,1),(180,1),(183,1),(193,1),(274,1),(277,1),(278,1),(373,1)}
       228:{1,3,6,7}:{(180,1),(181,1),(184,1),(279,1)}
       229:{2,5,7}:{(181,1),(182,1),(195,1),(279,1)}
       230:{2,3,5,6}:{(182,1),(186,1),(196,1),(276,1),(280,1),(281,1),(299,1),(400,1),(461,1)}
       231:{1,5,6,7}:{(183,1),(184,1),(197,1),(457,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(279,1),(282,1),(283,1),(304,1),(379,1),(381,1),(383,1)}
       233:{1,3,5,7}:{(185,1),(186,1),(199,1),(280,1),(283,1),(284,1),(397,1)}
       234:{1,3,4,6}:{(186,1),(281,1),(284,1),(285,1),(322,1),(415,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(207,1),(286,1),(287,1),(397,1),(515,1)}
       236:{2,3,6,7}:{(188,1),(190,1),(208,1),(287,1),(288,1),(454,1)}
       237:{1,3,4,5,7}:{(189,1),(192,1),(210,1),(273,1),(286,1),(290,1),(295,1),(392,1),(397,1),(470,1),(512,1)}
       238:{2,5,7}:{(189,1),(190,1),(211,1),(291,1)}
       239:{1,4,6,7}:{(190,1),(212,1),(288,1),(291,1),(387,1)}
       240:{1,2,4,7}:{(191,1),(195,1),(275,1),(293,1),(377,1)}
       241:{1,3,6}:{(191,1),(196,1),(214,1),(293,1)}
       242:{2,4,5,7}:{(192,1),(193,1),(215,1),(277,1),(295,1),(398,1)}
       243:{1,3,5,7}:{(193,1),(194,1),(197,1),(216,1),(291,1),(295,1),(296,1),(397,1),(457,1),(541,1)}
       244:{2,4,6,7}:{(194,1),(195,1),(217,1),(279,1),(296,1),(297,1),(398,1),(454,1),(463,1)}
       245:{2,3,7}:{(195,1),(196,1),(199,1),(293,1)}
       246:{2,3,4,6}:{(196,1),(200,1),(219,1),(281,1),(294,1),(298,1),(299,1),(400,1)}
       247:{1,2,5,7}:{(197,1),(198,1),(220,1),(296,1),(300,1),(541,1)}
       248:{1,3,6,7}:{(198,1),(199,1),(221,1),(297,1),(300,1),(515,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(202,1),(298,1),(302,1)}
       250:{1,3,5}:{(200,1),(203,1),(299,1)}
       251:{1,2,4,6,7}:{(201,1),(202,1),(223,1),(301,1),(303,1),(304,1),(381,1),(543,1),(552,1)}
       252:{1,2,4,5,7}:{(202,1),(203,1),(302,1),(303,1),(304,1),(382,1),(401,1)}
       253:{1,3,5}:{(204,1),(205,1),(306,1)}
       254:{2,3,4,6}:{(205,1),(206,1),(208,1),(306,1),(307,1),(309,1),(479,1),(523,1)}
       255:{1,3,4,7}:{(206,1),(209,1),(307,1),(308,1),(387,1),(464,1)}
       256:{1,3,4,6}:{(207,1),(286,1),(305,1),(309,1),(322,1),(415,1)}
       257:{2,3,5,6}:{(207,1),(208,1),(211,1),(287,1),(306,1),(309,1),(310,1),(411,1),(479,1)}
       258:{1,3,6}:{(208,1),(209,1),(212,1),(311,1)}
       259:{1,2,5,7}:{(209,1),(308,1),(311,1),(405,1)}
       260:{1,2,3,5}:{(214,1),(289,1),(313,1),(391,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(290,1),(309,1),(314,1),(315,1),(411,1),(483,1),(542,1)}
       262:{1,5,6}:{(211,1),(212,1),(291,1)}
       263:{1,2,4,6}:{(212,1),(213,1),(217,1),(311,1),(316,1),(317,1),(413,1),(458,1),(467,1)}
       264:{1,3,5,7}:{(213,1),(214,1),(218,1),(293,1),(317,1),(318,1),(414,1),(464,1),(476,1)}
       265:{1,3,4}:{(214,1),(219,1),(313,1)}
       266:{1,4,5,6}:{(215,1),(216,1),(295,1),(319,1),(322,1),(413,1)}
       267:{2,5,6}:{(216,1),(217,1),(296,1)}
       268:{2,3,6}:{(217,1),(218,1),(221,1),(317,1)}
       269:{2,3,4,7}:{(218,1),(219,1),(222,1),(318,1),(321,1),(398,1),(523,1)}
       270:{1,3,5,6}:{(220,1),(221,1),(300,1),(320,1),(322,1),(323,1)}
       271:{1,3,4,6}:{(221,1),(222,1),(223,1),(321,1),(322,1),(323,1)}
       272:{1,2,5}:{(223,1),(323,1)}
       273:{1,3,4,6,7}:{(224,1),(226,1),(237,1),(324,1),(329,1),(417,1),(422,1)}
       274:{2,5,6,7}:{(224,1),(238,1),(324,1),(325,1),(529,1)}
       275:{1,2,5,7}:{(225,1),(229,1),(240,1),(326,1),(327,1)}
       276:{1,3,5,6}:{(225,1),(230,1),(241,1),(327,1),(328,1),(347,1),(437,1),(489,1)}
       277:{2,4,6,7}:{(226,1),(227,1),(242,1),(329,1)}
       278:{1,3,5,6,7}:{(227,1),(228,1),(231,1),(243,1),(325,1),(329,1),(330,1),(417,1),(422,1)}
       279:{2,6,7}:{(228,1),(229,1)}
       280:{2,3,5,7}:{(229,1),(230,1),(233,1),(245,1),(327,1),(331,1),(332,1),(424,1)}
       281:{2,4,6}:{(230,1),(234,1),(328,1),(332,1),(333,1)}
       282:{1,2,5,6,7}:{(231,1),(232,1),(247,1),(330,1),(334,1),(355,1),(424,1),(485,1)}
       283:{1,3,6,7}:{(232,1),(233,1),(331,1),(354,1),(422,1)}
       284:{1,3,4,7}:{(233,1),(234,1),(332,1),(352,1),(438,1)}
       285:{1,3,4,5}:{(234,1),(250,1),(333,1),(372,1),(453,1)}
       286:{1,3,4,7}:{(235,1),(256,1),(337,1),(352,1),(438,1)}
       287:{2,3,5,7}:{(235,1),(236,1),(238,1),(257,1),(337,1),(338,1),(433,1),(493,1)}
       288:{1,3,6,7}:{(236,1),(239,1),(258,1),(338,1),(339,1)}
       289:{1,2,3,6}:{(241,1),(260,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(237,1),(238,1),(261,1),(324,1),(337,1),(342,1),(343,1),(433,1),(498,1),(529,1)}
       291:{1,5,7}:{(238,1),(239,1),(262,1)}
       292:{1,2,4,6,7}:{(239,1),(240,1),(244,1),(263,1),(326,1),(339,1),(344,1),(345,1),(420,1),(429,1),(435,1)}
       293:{1,3,7}:{(240,1),(241,1),(245,1)}
       294:{1,3,4,6}:{(241,1),(246,1),(265,1),(328,1),(341,1),(346,1),(347,1),(437,1)}
       295:{1,4,5,7}:{(242,1),(243,1),(266,1),(329,1),(348,1),(352,1),(435,1)}
       296:{2,5,7}:{(243,1),(244,1),(267,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(248,1),(268,1),(345,1),(349,1),(422,1),(493,1)}
       298:{2,3,4,7}:{(245,1),(246,1),(249,1),(332,1),(346,1),(351,1)}
       299:{2,3,5}:{(246,1),(250,1),(333,1),(347,1)}
       300:{1,3,5,7}:{(247,1),(248,1),(270,1),(349,1),(352,1)}
       301:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(271,1),(350,1),(352,1),(353,1),(354,1),(441,1),(528,1),(532,1),(551,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(252,1),(351,1),(354,1)}
       303:{1,2,5,7}:{(251,1),(272,1),(353,1),(355,1),(424,1)}
       304:{1,2,4,6}:{(252,1),(354,1),(355,1),(425,1),(441,1)}
       305:{1,3,4,5}:{(253,1),(256,1),(356,1),(372,1),(453,1)}
       306:{2,3,5}:{(253,1),(254,1),(356,1),(357,1)}
       307:{1,3,4,6}:{(254,1),(255,1),(258,1),(357,1),(358,1),(361,1),(446,1),(504,1)}
       308:{1,2,4,7}:{(255,1),(259,1),(358,1),(359,1)}
       309:{2,4,6}:{(256,1),(257,1),(337,1),(356,1),(361,1)}
       310:{1,3,5,6}:{(257,1),(258,1),(262,1),(338,1),(357,1),(361,1),(362,1),(446,1)}
       311:{1,2,6}:{(258,1),(259,1)}
       312:{1,2,3,5,7}:{(259,1),(260,1),(264,1),(340,1),(359,1),(363,1),(364,1),(432,1),(444,1),(448,1)}
       313:{1,2,4}:{(260,1),(265,1)}
       314:{2,3,5,6}:{(261,1),(342,1),(360,1),(365,1),(369,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(343,1),(361,1),(365,1),(508,1),(549,1)}
       316:{1,2,5,6}:{(262,1),(263,1),(267,1),(344,1),(367,1),(448,1),(489,1)}
       317:{1,3,6}:{(263,1),(264,1),(268,1)}
       318:{1,3,4,7}:{(264,1),(265,1),(269,1),(364,1),(368,1),(435,1),(504,1)}
       319:{2,4,5,6}:{(266,1),(267,1),(348,1),(369,1),(370,1)}
       320:{2,3,5,6}:{(267,1),(268,1),(270,1),(349,1),(367,1),(369,1),(370,1),(371,1)}
       321:{2,3,4,6}:{(268,1),(269,1),(271,1),(368,1),(370,1),(371,1)}
       322:{1,4,6}:{(270,1),(352,1),(370,1),(372,1)}
       323:{1,3,5}:{(271,1),(272,1),(371,1),(372,1)}
       324:{2,4,6,7}:{(273,1),(274,1),(290,1),(373,1),(374,1),(454,1)}
       325:{1,5,6,7}:{(274,1),(291,1),(374,1),(541,1)}
       326:{1,2,6,7}:{(275,1),(279,1),(376,1),(467,1)}
       327:{1,3,5,7}:{(275,1),(276,1),(280,1),(293,1),(376,1),(377,1),(457,1)}
       328:{1,4,6}:{(276,1),(281,1),(377,1),(378,1)}
       329:{1,4,6,7}:{(277,1),(278,1),(295,1),(379,1)}
       330:{2,5,6,7}:{(278,1),(279,1),(296,1),(379,1),(454,1)}
       331:{2,3,6,7}:{(279,1),(280,1),(283,1),(376,1),(381,1),(400,1)}
       332:{2,4,7}:{(280,1),(281,1),(284,1),(377,1)}
       333:{2,4,5}:{(281,1),(285,1),(299,1),(378,1)}
       334:{1,3,5,6,7}:{(282,1),(283,1),(300,1),(380,1),(383,1),(384,1),(402,1),(510,1),(541,1)}
       335:{1,3,4,6,7}:{(283,1),(284,1),(381,1),(383,1),(384,1),(385,1),(459,1)}
       336:{1,3,4,5,7}:{(284,1),(285,1),(302,1),(382,1),(384,1),(385,1),(401,1),(473,1)}
       337:{2,4,7}:{(286,1),(287,1),(309,1),(387,1)}
       338:{1,3,5,7}:{(287,1),(288,1),(291,1),(310,1),(387,1),(388,1),(464,1)}
       339:{1,2,6,7}:{(288,1),(311,1),(388,1),(454,1)}
       340:{1,2,3,7}:{(289,1),(293,1),(390,1)}
       341:{1,2,4,6}:{(289,1),(294,1),(313,1),(390,1),(391,1),(467,1)}
       342:{2,3,5,7}:{(290,1),(314,1),(373,1),(386,1),(392,1),(397,1)}
       343:{1,4,5,7}:{(290,1),(291,1),(315,1),(374,1),(387,1),(392,1),(519,1),(541,1)}
       344:{1,2,5,7}:{(291,1),(292,1),(296,1),(316,1),(394,1),(457,1)}
       345:{1,3,6,7}:{(292,1),(293,1),(297,1),(317,1),(394,1),(464,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(377,1),(390,1),(396,1)}
       347:{1,3,5}:{(294,1),(299,1),(378,1),(391,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(319,1),(379,1),(397,1),(398,1)}
       349:{2,3,5,7}:{(296,1),(297,1),(300,1),(320,1),(394,1),(397,1),(398,1)}
       350:{2,3,4,6,7}:{(297,1),(298,1),(301,1),(321,1),(381,1),(395,1),(398,1),(399,1),(400,1),(459,1),(474,1),(511,1),(516,1),(545,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(302,1),(382,1),(396,1),(400,1)}
       352:{1,4,7}:{(300,1),(322,1),(398,1)}
       353:{1,3,5,7}:{(301,1),(303,1),(323,1),(399,1),(401,1),(402,1),(541,1)}
       354:{1,3,6}:{(302,1),(304,1),(400,1)}
       355:{1,2,5,6}:{(303,1),(304,1),(402,1),(461,1),(552,1)}
       356:{2,4,5}:{(305,1),(306,1),(309,1),(404,1)}
       357:{1,3,5}:{(306,1),(307,1),(404,1),(405,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(311,1),(405,1),(406,1),(477,1)}
       359:{1,2,3,7}:{(308,1),(406,1),(464,1)}
       360:{2,3,4,6}:{(309,1),(314,1),(386,1),(403,1),(407,1),(415,1),(479,1),(483,1)}
       361:{1,4,6}:{(309,1),(310,1),(387,1),(404,1)}
       362:{1,2,5,6}:{(310,1),(311,1),(388,1),(405,1),(408,1),(411,1)}
       363:{1,2,3,6}:{(311,1),(312,1),(317,1),(410,1),(467,1)}
       364:{1,2,4,7}:{(312,1),(313,1),(318,1),(410,1),(477,1)}
       365:{1,3,5,6}:{(314,1),(315,1),(392,1),(407,1),(411,1)}
       366:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(393,1),(408,1),(411,1),(412,1),(413,1),(481,1),(483,1),(513,1),(518,1),(542,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(320,1),(394,1),(413,1),(414,1)}
       368:{1,3,4,6}:{(317,1),(318,1),(321,1),(410,1),(413,1),(414,1)}
       369:{3,5,6}:{(319,1),(397,1),(415,1)}
       370:{2,4,6}:{(320,1),(322,1),(398,1),(413,1),(415,1),(416,1)}
       371:{2,3,5}:{(321,1),(323,1),(414,1),(416,1)}
       372:{1,4,5}:{(322,1),(323,1),(416,1)}
       373:{2,3,6,7}:{(324,1),(342,1),(417,1),(422,1)}
       374:{1,4,6,7}:{(324,1),(325,1),(343,1),(417,1)}
       375:{1,2,5,6,7}:{(325,1),(326,1),(330,1),(344,1),(418,1),(419,1),(496,1),(529,1)}
       376:{1,3,6,7}:{(326,1),(327,1),(331,1),(420,1),(437,1)}
       377:{1,4,7}:{(327,1),(328,1),(332,1)}
       378:{1,4,5}:{(328,1),(333,1),(347,1)}
       379:{2,4,6,7}:{(329,1),(330,1),(348,1),(422,1)}
       380:{2,3,5,6,7}:{(330,1),(331,1),(334,1),(349,1),(419,1),(422,1),(423,1),(424,1),(440,1),(486,1),(490,1),(529,1)}
       381:{2,4,6,7}:{(331,1),(332,1),(335,1),(420,1),(424,1),(425,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(336,1),(351,1),(421,1),(424,1),(425,1)}
       383:{1,4,6,7}:{(334,1),(352,1),(423,1),(426,1),(441,1)}
       384:{1,3,5,7}:{(335,1),(424,1),(426,1),(427,1),(490,1)}
       385:{1,3,4,6}:{(336,1),(354,1),(425,1),(427,1),(441,1),(501,1)}
       386:{2,3,4,7}:{(337,1),(342,1),(360,1),(428,1),(438,1),(493,1),(498,1)}
       387:{1,4,7}:{(337,1),(338,1),(361,1)}
       388:{1,2,5,7}:{(338,1),(339,1),(362,1),(429,1),(433,1)}
       389:{1,2,3,6,7}:{(339,1),(340,1),(345,1),(363,1),(430,1),(431,1),(486,1),(534,1)}
       390:{1,2,4,7}:{(340,1),(341,1),(346,1),(432,1)}
       391:{1,2,5}:{(341,1),(347,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(365,1),(417,1),(428,1),(433,1)}
       393:{1,2,4,5,7}:{(343,1),(344,1),(348,1),(366,1),(418,1),(429,1),(433,1),(434,1),(435,1),(488,1),(498,1),(529,1)}
       394:{1,3,5,7}:{(344,1),(345,1),(349,1),(367,1),(435,1)}
       395:{1,3,4,6,7}:{(345,1),(346,1),(350,1),(368,1),(420,1),(431,1),(435,1),(436,1),(437,1),(494,1),(500,1),(534,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(351,1),(421,1),(432,1),(437,1)}
       397:{3,5,7}:{(348,1),(369,1),(422,1),(438,1)}
       398:{2,4,7}:{(349,1),(352,1),(370,1),(435,1),(438,1)}
       399:{2,3,5,7}:{(350,1),(353,1),(371,1),(424,1),(436,1),(439,1),(440,1),(490,1),(529,1)}
       400:{2,3,6}:{(351,1),(354,1),(425,1),(437,1)}
       401:{1,4,5,7}:{(352,1),(353,1),(372,1),(439,1),(441,1)}
       402:{1,3,5,6}:{(353,1),(354,1),(355,1),(440,1),(441,1),(549,1),(551,1)}
       403:{2,3,4,5}:{(356,1),(360,1),(442,1),(453,1),(503,1),(509,1)}
       404:{1,4,5}:{(356,1),(357,1),(361,1)}
       405:{1,2,5}:{(357,1),(358,1)}
       406:{1,2,3,6}:{(358,1),(359,1),(444,1),(446,1)}
       407:{1,3,4,6}:{(360,1),(361,1),(365,1),(428,1),(442,1),(445,1),(446,1),(505,1),(508,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(429,1),(443,1),(445,1),(446,1)}
       409:{1,2,3,5,6}:{(362,1),(363,1),(367,1),(430,1),(444,1),(446,1),(447,1),(448,1),(450,1),(496,1),(507,1),(534,1)}
       410:{1,2,4,6}:{(363,1),(364,1),(368,1),(448,1)}
       411:{2,5,6}:{(365,1),(433,1),(445,1)}
       412:{1,3,5,6}:{(366,1),(369,1),(434,1),(446,1),(450,1),(451,1),(507,1),(534,1)}
       413:{1,4,6}:{(367,1),(370,1),(435,1),(452,1)}
       414:{1,3,5}:{(368,1),(371,1),(448,1),(452,1)}
       415:{3,4,6}:{(369,1),(370,1),(438,1),(453,1)}
       416:{2,4,5}:{(370,1),(371,1),(372,1),(452,1),(453,1)}
       417:{1,3,6,7}:{(373,1),(374,1),(392,1),(454,1)}
       418:{1,2,4,6,7}:{(374,1),(375,1),(379,1),(393,1),(454,1),(455,1),(456,1),(511,1),(518,1)}
       419:{1,3,5,6,7}:{(375,1),(376,1),(380,1),(394,1),(455,1),(456,1),(457,1),(472,1),(512,1)}
       420:{1,4,6,7}:{(376,1),(377,1),(381,1),(457,1),(458,1)}
       421:{1,4,5,7}:{(377,1),(378,1),(382,1),(396,1),(457,1),(458,1)}
       422:{3,6,7}:{(379,1),(397,1)}
       423:{2,4,6,7}:{(380,1),(383,1),(398,1),(456,1),(459,1),(460,1),(474,1)}
       424:{2,5,7}:{(381,1),(384,1),(457,1),(461,1)}
       425:{2,4,6}:{(382,1),(385,1),(400,1),(458,1),(461,1)}
       426:{1,4,5,7}:{(383,1),(384,1),(460,1),(462,1),(541,1)}
       427:{1,3,5,6}:{(384,1),(385,1),(461,1),(462,1),(514,1)}
       428:{1,3,4,7}:{(386,1),(387,1),(392,1),(407,1),(463,1),(464,1),(515,1),(519,1)}
       429:{1,2,4,7}:{(387,1),(388,1),(408,1),(463,1),(464,1)}
       430:{1,2,3,5,7}:{(388,1),(389,1),(394,1),(409,1),(464,1),(465,1),(466,1),(469,1),(517,1)}
       431:{1,2,4,6,7}:{(389,1),(390,1),(395,1),(410,1),(465,1),(466,1),(467,1),(511,1),(518,1)}
       432:{1,2,5,7}:{(390,1),(391,1),(396,1),(467,1)}
       433:{2,5,7}:{(392,1),(411,1),(454,1),(463,1)}
       434:{1,3,5,7}:{(393,1),(397,1),(412,1),(455,1),(464,1),(469,1),(470,1)}
       435:{1,4,7}:{(394,1),(398,1),(413,1)}
       436:{1,3,5,7}:{(395,1),(399,1),(414,1),(457,1),(466,1),(471,1),(472,1)}
       437:{1,3,6}:{(396,1),(400,1),(458,1),(467,1)}
       438:{3,4,7}:{(397,1),(398,1),(415,1)}
       439:{2,4,5,7}:{(398,1),(399,1),(401,1),(416,1),(471,1),(473,1),(474,1)}
       440:{2,3,5,6}:{(399,1),(400,1),(402,1),(461,1),(472,1),(474,1),(514,1),(542,1),(545,1)}
       441:{1,4,6}:{(401,1),(402,1),(474,1)}
       442:{1,3,4,5}:{(403,1),(404,1),(407,1),(475,1),(476,1),(522,1),(527,1)}
       443:{1,2,4,5}:{(404,1),(405,1),(408,1),(475,1),(476,1),(477,1)}
       444:{1,2,3,5}:{(405,1),(406,1),(476,1),(477,1)}
       445:{2,4,6}:{(407,1),(411,1),(463,1),(475,1),(479,1)}
       446:{1,3,6}:{(408,1),(464,1),(476,1),(479,1)}
       447:{1,2,4,6}:{(409,1),(413,1),(465,1),(477,1),(480,1),(481,1),(483,1)}
       448:{1,2,5}:{(410,1),(414,1)}
       449:{1,2,5,6}:{(411,1),(468,1),(478,1),(482,1),(548,1),(552,1)}
       450:{2,3,5,6}:{(411,1),(412,1),(469,1),(479,1),(482,1),(483,1),(526,1),(542,1),(545,1)}
       451:{1,3,4,6}:{(412,1),(413,1),(415,1),(470,1),(483,1),(484,1)}
       452:{1,4,5}:{(413,1),(414,1),(416,1)}
       453:{3,4,5}:{(415,1),(416,1)}
       454:{2,6,7}:{(417,1),(433,1)}
       455:{1,3,6,7}:{(418,1),(422,1),(434,1),(486,1),(534,1)}
       456:{1,4,6,7}:{(419,1),(423,1),(435,1),(488,1),(500,1)}
       457:{1,5,7}:{(420,1),(424,1),(489,1)}
       458:{1,4,6}:{(421,1),(425,1),(437,1),(489,1)}
       459:{3,4,6,7}:{(422,1),(423,1),(438,1),(490,1),(501,1)}
       460:{2,4,5,7}:{(423,1),(424,1),(426,1),(488,1),(490,1),(491,1),(529,1)}
       461:{2,5,6}:{(424,1),(425,1),(427,1),(489,1)}
       462:{1,4,5,6}:{(426,1),(427,1),(441,1),(491,1),(549,1)}
       463:{2,4,7}:{(428,1),(433,1),(445,1),(493,1)}
       464:{1,3,7}:{(429,1),(446,1),(493,1)}
       465:{1,2,4,7}:{(430,1),(435,1),(447,1),(494,1),(498,1)}
       466:{1,2,5,7}:{(431,1),(436,1),(448,1),(496,1),(529,1)}
       467:{1,2,6}:{(432,1),(437,1)}
       468:{1,2,5,7}:{(433,1),(449,1),(485,1),(492,1),(497,1)}
       469:{2,3,5,7}:{(433,1),(434,1),(450,1),(486,1),(493,1),(497,1),(498,1),(529,1)}
       470:{1,3,4,7}:{(434,1),(435,1),(438,1),(451,1),(498,1)}
       471:{1,4,5,7}:{(435,1),(436,1),(439,1),(452,1),(500,1)}
       472:{1,3,5,6}:{(436,1),(437,1),(440,1),(489,1),(496,1),(500,1),(534,1)}
       473:{3,4,5,7}:{(438,1),(439,1),(453,1),(490,1),(501,1)}
       474:{2,4,6}:{(439,1),(440,1),(441,1),(500,1),(501,1)}
       475:{2,4,5}:{(442,1),(445,1),(503,1)}
       476:{1,3,5}:{(443,1),(446,1),(503,1),(504,1)}
       477:{1,2,4}:{(444,1),(504,1)}
       478:{1,2,4,6}:{(445,1),(449,1),(492,1),(502,1),(505,1),(508,1)}
       479:{2,3,6}:{(445,1),(446,1),(493,1),(503,1),(505,1)}
       480:{1,3,4,6}:{(446,1),(447,1),(494,1),(504,1),(506,1),(507,1),(534,1)}
       481:{1,2,4,5}:{(447,1),(448,1),(452,1),(507,1),(509,1)}
       482:{1,3,5,6}:{(449,1),(450,1),(497,1),(505,1),(508,1),(540,1),(549,1),(551,1)}
       483:{2,4,6}:{(450,1),(451,1),(498,1),(508,1),(509,1)}
       484:{1,3,4,5}:{(451,1),(452,1),(453,1),(507,1),(509,1)}
       485:{1,2,6,7}:{(454,1),(468,1),(510,1),(552,1)}
       486:{2,3,6,7}:{(454,1),(455,1),(469,1),(510,1),(511,1),(545,1)}
       487:{1,3,4,6,7}:{(455,1),(456,1),(459,1),(470,1),(511,1),(512,1),(521,1)}
       488:{1,4,5,7}:{(456,1),(457,1),(460,1),(512,1),(513,1)}
       489:{1,5,6}:{(457,1),(458,1),(461,1)}
       490:{3,5,7}:{(459,1),(460,1),(514,1)}
       491:{2,4,5,6}:{(460,1),(461,1),(462,1),(474,1),(513,1),(514,1),(542,1)}
       492:{1,2,4,7}:{(463,1),(468,1),(478,1),(515,1),(519,1)}
       493:{2,3,7}:{(463,1),(464,1),(479,1),(515,1)}
       494:{1,3,4,7}:{(464,1),(465,1),(480,1),(516,1),(517,1)}
       495:{1,2,4,5,7}:{(465,1),(466,1),(471,1),(481,1),(517,1),(518,1),(520,1)}
       496:{1,2,5,6}:{(466,1),(467,1),(472,1),(518,1),(542,1)}
       497:{1,3,5,7}:{(468,1),(469,1),(482,1),(510,1),(515,1),(519,1),(541,1)}
       498:{2,4,7}:{(469,1),(470,1),(483,1),(519,1)}
       499:{1,3,4,5,7}:{(470,1),(471,1),(473,1),(484,1),(512,1),(517,1),(520,1),(521,1)}
       500:{1,4,6}:{(471,1),(472,1),(474,1)}
       501:{3,4,6}:{(473,1),(474,1),(514,1)}
       502:{1,2,4,5}:{(475,1),(478,1),(522,1),(527,1),(547,1),(548,1)}
       503:{2,3,5}:{(475,1),(476,1),(479,1),(522,1),(523,1)}
       504:{1,3,4}:{(476,1),(477,1),(523,1)}
       505:{1,3,6}:{(478,1),(479,1),(515,1),(522,1)}
       506:{2,3,4,6}:{(479,1),(480,1),(483,1),(516,1),(523,1),(525,1),(526,1),(545,1)}
       507:{1,3,5}:{(480,1),(481,1),(526,1)}
       508:{1,4,6}:{(482,1),(483,1),(519,1),(527,1)}
       509:{2,4,5}:{(483,1),(484,1),(526,1),(527,1)}
       510:{1,3,6,7}:{(485,1),(486,1),(497,1),(528,1),(551,1)}
       511:{2,4,6,7}:{(486,1),(487,1),(498,1),(528,1),(529,1),(536,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(490,1),(529,1),(530,1)}
       513:{1,4,5,6}:{(488,1),(489,1),(491,1),(500,1),(530,1)}
       514:{3,5,6}:{(490,1),(491,1),(501,1)}
       515:{1,3,7}:{(492,1),(493,1),(505,1)}
       516:{2,3,4,7}:{(493,1),(494,1),(498,1),(506,1),(532,1),(533,1)}
       517:{1,3,5,7}:{(494,1),(495,1),(507,1),(533,1),(534,1)}
       518:{1,2,4,6}:{(495,1),(496,1),(500,1),(534,1),(536,1)}
       519:{1,4,7}:{(497,1),(498,1),(508,1)}
       520:{2,4,5,7}:{(498,1),(499,1),(509,1),(529,1),(533,1),(535,1),(536,1)}
       521:{1,3,4,6}:{(499,1),(500,1),(501,1),(530,1),(534,1),(536,1)}
       522:{1,3,5}:{(502,1),(503,1),(505,1),(538,1)}
       523:{2,3,4}:{(503,1),(504,1),(538,1)}
       524:{1,2,3,6}:{(505,1),(531,1),(537,1),(539,1)}
       525:{1,3,4,6}:{(505,1),(506,1),(508,1),(532,1),(538,1),(539,1),(540,1),(551,1)}
       526:{2,3,5}:{(506,1),(507,1),(509,1),(540,1)}
       527:{1,4,5}:{(508,1),(509,1),(540,1)}
       528:{1,4,6,7}:{(510,1),(511,1),(519,1),(541,1),(546,1)}
       529:{2,5,7}:{(511,1),(512,1),(541,1),(542,1)}
       530:{1,3,5,6}:{(512,1),(513,1),(514,1),(521,1),(542,1)}
       531:{1,2,3,7}:{(515,1),(524,1),(543,1)}
       532:{1,3,4,7}:{(515,1),(516,1),(519,1),(525,1),(543,1),(544,1)}
       533:{2,3,5,7}:{(516,1),(517,1),(520,1),(526,1),(544,1),(545,1)}
       534:{1,3,6}:{(517,1),(518,1),(545,1)}
       535:{1,4,5,7}:{(519,1),(520,1),(527,1),(541,1),(544,1),(546,1)}
       536:{2,4,6}:{(520,1),(521,1),(542,1),(545,1),(546,1)}
       537:{1,2,3,5}:{(522,1),(524,1),(547,1),(548,1)}
       538:{1,3,4}:{(522,1),(523,1),(547,1)}
       539:{1,2,4,6}:{(524,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       540:{1,3,5}:{(525,1),(526,1),(527,1),(548,1)}
       541:{1,5,7}:{(528,1),(529,1),(549,1)}
       542:{2,5,6}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,7}:{(531,1),(532,1),(539,1),(550,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(535,1),(540,1),(550,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(536,1),(551,1)}
       546:{1,4,6}:{(535,1),(536,1),(549,1),(551,1)}
       547:{1,2,4}:{(537,1),(538,1)}
       548:{1,2,5}:{(539,1),(540,1)}
       549:{1,5,6}:{(541,1),(542,1),(546,1)}
       550:{1,2,5,7}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,3,6}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

 972 :   0:{1,2,6,7}:{(3,1),(5,1),(175,1),(197,1),(284,1),(336,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(89,1),(108,1),(175,1),(193,1),(252,1),(257,1),(336,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(27,1),(30,1),(41,1),(89,1),(105,1),(165,1),(257,1),(263,1),(338,1)}
         3:{1,3,6,7}:{(0,1),(9,1),(11,1),(12,1),(129,1),(299,1),(369,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(16,1),(53,1),(55,1),(129,1),(205,1),(209,1),(299,1),(301,1),(369,1),(412,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(12,1),(15,1),(130,1),(151,1),(240,1),(296,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(15,1),(16,1),(57,1),(72,1),(148,1),(238,1)}
         7:{1,3,5}:{(2,1),(14,1),(16,1),(17,1),(212,1),(306,1)}
         8:{1,3,4,5}:{(14,1),(19,1),(20,1),(55,1),(67,1),(122,1),(155,1),(216,1),(248,1),(306,1)}
         9:{2,3,6,7}:{(3,1),(21,1),(23,1),(24,1),(169,1),(175,1),(255,1),(284,1),(343,1),(356,1)}
        10:{2,3,5,6}:{(4,1),(22,1),(24,1),(25,1),(32,1),(81,1),(83,1),(89,1),(158,1),(162,1),(169,1),(175,1),(193,1),(255,1),(266,1),(283,1),(343,1),(396,1),(398,1)}
        11:{1,4,6,7}:{(3,1),(23,1),(26,1),(28,1),(87,1),(395,1)}
        12:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(28,1),(31,1),(251,1),(256,1)}
        13:{1,4,6}:{(4,1),(25,1),(27,1),(28,1),(338,1)}
        14:{1,3,4}:{(7,1),(30,1),(338,1),(342,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(28,1),(31,1),(90,1),(109,1),(194,1),(282,1)}
        16:{1,3,6}:{(6,1),(7,1),(31,1),(32,1),(283,1)}
        17:{2,3,5}:{(7,1),(30,1),(32,1),(33,1),(89,1),(105,1),(174,1)}
        18:{1,4,5,6}:{(27,1),(34,1),(37,1),(38,1),(87,1),(184,1),(190,1),(291,1),(339,1),(363,1)}
        19:{1,3,4,6}:{(8,1),(38,1),(39,1),(40,1),(99,1),(104,1),(190,1),(283,1)}
        20:{2,4,5}:{(8,1),(30,1),(35,1),(40,1),(41,1),(89,1),(105,1),(196,1),(288,1)}
        21:{1,3,6,7}:{(9,1),(42,1),(44,1),(45,1),(207,1),(222,1),(310,1)}
        22:{1,3,5,6}:{(10,1),(43,1),(45,1),(46,1),(60,1),(114,1),(115,1),(117,1),(131,1),(207,1),(222,1),(224,1),(310,1),(375,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(44,1),(47,1),(48,1),(50,1),(123,1),(374,1)}
        24:{2,3,5,7}:{(9,1),(10,1),(12,1),(45,1),(48,1),(50,1),(59,1),(124,1),(130,1),(204,1),(208,1),(240,1),(323,1),(385,1)}
        25:{2,4,6}:{(10,1),(13,1),(46,1),(49,1),(50,1),(51,1),(309,1),(413,1)}
        26:{1,5,7}:{(11,1),(48,1),(53,1),(412,1)}
        27:{1,4,5}:{(13,1),(49,1),(55,1),(209,1),(412,1)}
        28:{1,4,7}:{(12,1),(13,1),(50,1)}
        29:{1,3,4,6}:{(13,1),(14,1),(16,1),(51,1),(55,1),(56,1),(57,1),(129,1)}
        30:{2,4}:{(14,1),(17,1),(58,1)}
        31:{1,3,7}:{(15,1),(16,1),(59,1),(323,1)}
        32:{2,3,6}:{(16,1),(17,1),(57,1),(59,1),(60,1),(148,1)}
        33:{1,3,5}:{(17,1),(58,1),(60,1),(61,1),(131,1),(134,1)}
        34:{2,4,5,6}:{(18,1),(49,1),(62,1),(64,1),(65,1),(70,1),(123,1),(139,1),(143,1),(213,1),(238,1),(303,1),(327,1),(371,1),(389,1),(413,1)}
        35:{2,3,5}:{(20,1),(52,1),(66,1),(67,1),(306,1)}
        36:{1,5,6,7}:{(53,1),(63,1),(68,1),(321,1),(390,1)}
        37:{1,4,5,7}:{(18,1),(64,1),(68,1),(69,1),(230,1),(237,1),(321,1)}
        38:{1,3,5,6}:{(18,1),(19,1),(55,1),(65,1),(69,1),(70,1),(129,1),(248,1),(331,1)}
        39:{1,3,4,7}:{(19,1),(69,1),(71,1),(142,1),(147,1),(237,1),(323,1)}
        40:{2,4,6}:{(19,1),(20,1),(66,1),(70,1),(71,1),(72,1),(148,1)}
        41:{1,4,5}:{(20,1),(58,1),(67,1),(72,1),(131,1),(234,1),(320,1)}
        42:{1,2,6,7}:{(21,1),(74,1),(255,1),(268,1),(275,1),(284,1)}
        43:{1,2,5,6}:{(22,1),(74,1),(75,1),(94,1),(162,1),(177,1),(184,1),(193,1),(255,1),(268,1)}
        44:{1,4,6,7}:{(21,1),(23,1),(76,1),(78,1),(160,1),(345,1)}
        45:{1,3,5,7}:{(21,1),(22,1),(24,1),(74,1),(76,1),(78,1),(93,1),(157,1),(176,1)}
        46:{1,4,6}:{(22,1),(25,1),(77,1),(78,1),(270,1)}
        47:{3,4,6,7}:{(23,1),(80,1),(84,1),(166,1),(169,1),(356,1),(397,1),(406,1)}
        48:{2,5,7}:{(23,1),(26,1),(76,1),(80,1),(81,1),(398,1)}
        49:{2,4,5}:{(25,1),(27,1),(77,1),(83,1),(89,1),(162,1),(398,1),(422,1)}
        50:{2,4,7}:{(24,1),(25,1),(28,1),(78,1),(84,1),(406,1)}
        51:{3,4,6}:{(25,1),(83,1),(84,1),(169,1),(283,1),(342,1)}
        52:{2,3,4}:{(30,1),(35,1),(86,1),(174,1),(196,1),(342,1)}
        53:{1,5,6}:{(26,1),(81,1),(87,1)}
        54:{1,4,5,7}:{(26,1),(27,1),(28,1),(82,1),(87,1),(88,1),(256,1)}
        55:{1,3,5}:{(27,1),(29,1),(83,1),(89,1)}
        56:{1,3,4,7}:{(28,1),(29,1),(31,1),(84,1),(88,1),(90,1)}
        57:{2,4,6}:{(29,1),(30,1),(32,1),(89,1),(90,1),(91,1),(175,1)}
        58:{1,4}:{(30,1),(33,1)}
        59:{2,3,7}:{(31,1),(32,1),(90,1),(93,1),(194,1)}
        60:{1,3,6}:{(32,1),(33,1),(91,1),(93,1),(94,1)}
        61:{1,2,5}:{(33,1),(92,1),(94,1),(105,1)}
        62:{1,4,5,6}:{(34,1),(77,1),(96,1),(97,1),(108,1),(160,1),(190,1),(339,1),(353,1),(405,1)}
        63:{2,5,6,7}:{(36,1),(81,1),(95,1),(98,1),(100,1),(280,1),(355,1),(409,1)}
        64:{2,4,5,7}:{(34,1),(37,1),(96,1),(100,1),(101,1),(107,1),(183,1),(187,1),(189,1),(280,1),(282,1),(355,1),(406,1)}
        65:{3,5,6}:{(34,1),(83,1),(99,1),(101,1),(169,1),(283,1),(358,1),(408,1)}
        66:{2,3,6}:{(35,1),(40,1),(103,1),(104,1),(283,1)}
        67:{1,3,5}:{(35,1),(41,1),(86,1),(104,1),(105,1)}
        68:{1,4,6,7}:{(36,1),(37,1),(87,1),(100,1),(106,1),(275,1),(363,1)}
        69:{1,3,5,7}:{(37,1),(38,1),(39,1),(101,1),(106,1),(107,1)}
        70:{2,5,6}:{(38,1),(40,1),(89,1),(107,1),(108,1),(175,1),(288,1),(361,1)}
        71:{2,4,7}:{(39,1),(40,1),(103,1),(107,1),(109,1),(194,1)}
        72:{1,4,6}:{(40,1),(41,1),(104,1),(108,1),(109,1)}
        73:{1,2,4,5}:{(41,1),(92,1),(105,1),(110,1),(111,1),(177,1),(196,1),(263,1),(270,1),(288,1),(291,1)}
        74:{1,2,5,7}:{(42,1),(43,1),(45,1),(113,1),(135,1),(208,1),(230,1),(240,1)}
        75:{1,2,4,6}:{(43,1),(46,1),(112,1),(113,1),(114,1),(119,1),(228,1),(238,1),(313,1)}
        76:{1,5,7}:{(44,1),(48,1),(115,1),(375,1)}
        77:{1,4,5}:{(46,1),(49,1),(117,1),(131,1),(375,1)}
        78:{1,4,7}:{(45,1),(46,1),(50,1)}
        79:{1,3,4,6}:{(46,1),(51,1),(114,1),(117,1),(118,1),(119,1),(202,1),(207,1)}
        80:{3,5,7}:{(47,1),(48,1),(120,1),(121,1),(414,1)}
        81:{2,5,6}:{(48,1),(53,1),(115,1),(120,1),(123,1)}
        82:{2,4,5,7}:{(48,1),(49,1),(50,1),(54,1),(116,1),(121,1),(123,1),(124,1),(130,1),(208,1)}
        83:{3,5}:{(49,1),(51,1)}
        84:{3,4,7}:{(50,1),(51,1),(124,1),(323,1)}
        85:{2,3,4,6}:{(51,1),(52,1),(57,1),(66,1),(119,1),(125,1),(126,1),(127,1),(143,1),(217,1),(221,1),(226,1),(243,1),(293,1),(309,1),(324,1),(374,1),(379,1)}
        86:{1,3,4}:{(52,1),(58,1),(67,1),(128,1),(134,1),(212,1),(234,1)}
        87:{1,4,6}:{(53,1),(54,1),(123,1),(129,1),(299,1)}
        88:{1,3,5,7}:{(54,1),(55,1),(56,1),(124,1),(129,1),(130,1)}
        89:{2,5}:{(55,1),(57,1),(131,1)}
        90:{2,4,7}:{(56,1),(57,1),(59,1),(130,1),(132,1)}
        91:{1,4,6}:{(57,1),(58,1),(60,1),(131,1),(132,1),(222,1)}
        92:{1,2,4}:{(58,1),(61,1),(128,1),(134,1)}
        93:{1,3,7}:{(59,1),(60,1),(132,1),(135,1)}
        94:{1,2,6}:{(60,1),(61,1),(135,1),(148,1)}
        95:{1,5,6,7}:{(63,1),(115,1),(137,1),(321,1),(419,1)}
        96:{1,4,5,7}:{(62,1),(64,1),(137,1),(138,1),(151,1),(237,1),(321,1)}
        97:{1,3,5,6}:{(62,1),(65,1),(117,1),(136,1),(138,1),(139,1),(207,1),(381,1),(418,1)}
        98:{3,5,6,7}:{(63,1),(120,1),(141,1),(144,1),(235,1),(385,1),(421,1)}
        99:{3,4,6}:{(65,1),(122,1),(142,1),(143,1),(413,1)}
       100:{2,4,6,7}:{(63,1),(64,1),(68,1),(123,1),(137,1),(141,1),(144,1),(150,1),(229,1),(389,1)}
       101:{3,5,7}:{(64,1),(65,1),(142,1),(144,1),(323,1)}
       102:{2,3,5,6}:{(65,1),(66,1),(70,1),(125,1),(139,1),(143,1),(145,1),(146,1),(217,1),(226,1),(303,1)}
       103:{2,3,7}:{(66,1),(71,1),(147,1),(323,1)}
       104:{1,3,6}:{(66,1),(67,1),(72,1),(147,1),(148,1)}
       105:{2,5}:{(67,1),(128,1),(148,1)}
       106:{1,3,6,7}:{(68,1),(69,1),(129,1),(144,1),(150,1),(331,1)}
       107:{2,5,7}:{(69,1),(70,1),(71,1),(150,1),(151,1)}
       108:{1,5,6}:{(70,1),(72,1),(131,1),(151,1),(222,1),(320,1),(384,1)}
       109:{1,4,7}:{(71,1),(72,1),(147,1),(151,1)}
       110:{1,2,4,6}:{(72,1),(73,1),(148,1),(152,1),(153,1),(154,1),(238,1),(243,1),(246,1)}
       111:{1,3,5}:{(73,1),(134,1),(149,1),(154,1),(155,1),(306,1)}
       112:{1,2,4,5}:{(75,1),(77,1),(156,1),(162,1),(177,1),(249,1),(254,1),(263,1),(270,1),(334,1),(391,1)}
       113:{1,2,4,7}:{(74,1),(75,1),(78,1),(157,1),(163,1),(273,1),(282,1),(347,1)}
       114:{1,3,6}:{(75,1),(156,1),(157,1),(158,1),(283,1)}
       115:{1,5,6}:{(76,1),(81,1),(160,1)}
       116:{1,4,5,7}:{(76,1),(77,1),(78,1),(82,1),(160,1),(161,1),(176,1)}
       117:{1,3,5}:{(77,1),(79,1),(83,1),(162,1)}
       118:{1,3,4,7}:{(78,1),(79,1),(84,1),(157,1),(161,1),(163,1)}
       119:{2,4,6}:{(79,1),(158,1),(162,1),(163,1),(164,1),(249,1),(255,1)}
       120:{3,5,6}:{(80,1),(81,1),(166,1),(169,1)}
       121:{4,5,7}:{(80,1),(166,1),(406,1),(422,1)}
       122:{3,4,5}:{(83,1),(99,1),(168,1),(342,1),(358,1),(422,1)}
       123:{2,4,6}:{(81,1),(82,1),(87,1),(160,1),(166,1),(169,1),(175,1),(255,1)}
       124:{3,5,7}:{(82,1),(83,1),(84,1),(169,1)}
       125:{2,3,5}:{(83,1),(85,1),(89,1),(162,1),(168,1),(171,1),(288,1),(358,1),(398,1),(402,1)}
       126:{2,3,4,7}:{(84,1),(85,1),(90,1),(103,1),(163,1),(170,1),(172,1),(189,1),(267,1),(271,1),(287,1),(344,1),(357,1),(401,1)}
       127:{1,3,4,6}:{(85,1),(86,1),(91,1),(104,1),(164,1),(171,1),(172,1),(173,1),(179,1),(190,1),(259,1),(264,1),(270,1),(272,1),(279,1),(283,1),(332,1),(338,1),(342,1),(345,1),(395,1),(397,1),(400,1)}
       128:{2,4}:{(86,1),(105,1),(174,1)}
       129:{1,3,6}:{(87,1),(88,1),(169,1),(175,1)}
       130:{2,5,7}:{(88,1),(89,1),(90,1),(175,1),(176,1)}
       131:{1,5}:{(89,1),(91,1)}
       132:{1,4,7}:{(90,1),(91,1),(93,1),(176,1)}
       133:{1,2,4,6}:{(91,1),(92,1),(94,1),(173,1),(177,1),(178,1),(179,1),(268,1),(270,1),(345,1),(346,1),(391,1),(400,1)}
       134:{1,3}:{(92,1),(174,1)}
       135:{1,2,7}:{(93,1),(94,1),(194,1)}
       136:{1,3,4,6}:{(97,1),(99,1),(159,1),(180,1),(181,1),(190,1),(272,1),(283,1)}
       137:{1,4,6,7}:{(95,1),(96,1),(100,1),(160,1),(182,1),(197,1),(405,1)}
       138:{1,3,5,7}:{(96,1),(97,1),(101,1),(180,1),(182,1),(183,1)}
       139:{2,5,6}:{(97,1),(162,1),(181,1),(183,1),(184,1),(255,1),(402,1),(424,1)}
       140:{1,2,5}:{(105,1),(165,1),(185,1),(186,1)}
       141:{4,6,7}:{(98,1),(166,1),(187,1),(406,1),(425,1)}
       142:{3,4,7}:{(99,1),(101,1),(189,1),(406,1)}
       143:{2,4,6}:{(99,1),(102,1),(168,1),(189,1),(190,1)}
       144:{3,6,7}:{(100,1),(101,1),(169,1),(408,1)}
       145:{2,3,5,7}:{(101,1),(102,1),(103,1),(107,1),(183,1),(189,1),(191,1),(192,1),(271,1),(280,1)}
       146:{1,3,5,6}:{(102,1),(104,1),(108,1),(171,1),(184,1),(190,1),(192,1),(193,1),(264,1),(272,1),(283,1),(339,1),(396,1)}
       147:{1,3,7}:{(103,1),(104,1),(109,1),(194,1)}
       148:{2,6}:{(104,1),(105,1),(194,1)}
       149:{2,3,5}:{(105,1),(111,1),(174,1),(186,1),(195,1),(196,1),(288,1)}
       150:{2,6,7}:{(106,1),(107,1),(175,1),(197,1),(361,1)}
       151:{1,5,7}:{(107,1),(108,1),(109,1),(197,1)}
       152:{1,2,5,6}:{(108,1),(110,1),(177,1),(193,1),(198,1),(199,1),(268,1),(288,1),(346,1),(361,1)}
       153:{1,2,4,7}:{(109,1),(110,1),(194,1),(198,1),(200,1),(282,1),(287,1),(290,1)}
       154:{1,3,6}:{(110,1),(111,1),(195,1),(200,1),(283,1)}
       155:{1,3,4}:{(111,1),(196,1),(270,1),(342,1)}
       156:{1,3,5}:{(112,1),(114,1),(202,1),(203,1),(306,1),(410,1)}
       157:{1,3,7}:{(113,1),(114,1),(204,1),(323,1)}
       158:{2,3,6}:{(114,1),(119,1),(203,1),(204,1),(205,1),(313,1)}
       159:{1,3,4,5}:{(117,1),(122,1),(136,1),(202,1),(206,1),(216,1),(297,1),(306,1),(368,1),(381,1)}
       160:{1,4,6}:{(115,1),(116,1),(123,1),(207,1),(222,1)}
       161:{1,3,5,7}:{(116,1),(117,1),(118,1),(124,1),(207,1),(208,1)}
       162:{2,5}:{(117,1),(119,1),(209,1)}
       163:{2,4,7}:{(118,1),(119,1),(204,1),(208,1),(210,1)}
       164:{1,4,6}:{(119,1),(205,1),(209,1),(210,1),(294,1),(299,1)}
       165:{1,2,4}:{(128,1),(140,1),(212,1),(234,1)}
       166:{4,6}:{(120,1),(121,1)}
       167:{3,4,5,7}:{(121,1),(122,1),(124,1),(142,1),(214,1),(215,1),(235,1),(373,1),(387,1),(414,1),(420,1)}
       168:{2,4,5}:{(122,1),(125,1),(143,1),(216,1),(309,1)}
       169:{3,6}:{(123,1),(124,1)}
       170:{2,3,5,7}:{(124,1),(125,1),(126,1),(130,1),(208,1),(215,1),(217,1),(218,1),(328,1),(387,1),(417,1)}
       171:{1,3,5}:{(125,1),(127,1),(131,1),(209,1),(216,1),(219,1),(306,1),(320,1),(375,1),(412,1),(414,1),(416,1)}
       172:{1,3,4,7}:{(126,1),(127,1),(132,1),(147,1),(210,1),(218,1),(220,1),(225,1),(237,1),(302,1),(311,1),(312,1),(319,1),(323,1),(370,1),(373,1),(415,1)}
       173:{2,4,6}:{(127,1),(128,1),(148,1),(219,1),(220,1),(221,1),(307,1),(309,1),(313,1),(364,1)}
       174:{2,3}:{(128,1),(134,1),(212,1)}
       175:{2,6}:{(129,1),(130,1),(222,1)}
       176:{1,5,7}:{(130,1),(131,1),(132,1),(222,1)}
       177:{1,2,5}:{(131,1),(133,1),(219,1),(224,1),(375,1),(416,1)}
       178:{1,2,4,7}:{(132,1),(133,1),(135,1),(220,1),(223,1),(225,1),(311,1),(376,1),(415,1)}
       179:{1,3,6}:{(133,1),(134,1),(221,1),(224,1),(225,1),(410,1)}
       180:{1,3,4,7}:{(136,1),(138,1),(142,1),(227,1),(237,1),(312,1),(323,1)}
       181:{2,4,6}:{(136,1),(139,1),(206,1),(226,1),(227,1),(228,1),(313,1)}
       182:{1,3,6,7}:{(137,1),(138,1),(144,1),(207,1),(229,1),(418,1)}
       183:{2,5,7}:{(138,1),(139,1),(227,1),(229,1),(230,1)}
       184:{1,5,6}:{(139,1),(209,1),(228,1),(230,1),(299,1),(416,1),(426,1)}
       185:{1,2,6}:{(140,1),(148,1),(232,1),(233,1)}
       186:{1,3,5}:{(140,1),(149,1),(212,1),(233,1),(234,1),(320,1)}
       187:{4,5,7}:{(141,1),(213,1),(235,1)}
       188:{3,4,6,7}:{(141,1),(142,1),(144,1),(214,1),(235,1),(236,1)}
       189:{2,4,7}:{(142,1),(143,1),(145,1),(237,1)}
       190:{1,4,6}:{(143,1),(146,1),(216,1),(237,1),(238,1),(413,1)}
       191:{2,3,6,7}:{(144,1),(145,1),(150,1),(217,1),(229,1),(236,1),(239,1)}
       192:{1,3,5,7}:{(145,1),(146,1),(147,1),(151,1),(230,1),(237,1),(239,1),(240,1),(312,1),(321,1),(323,1),(385,1)}
       193:{2,5,6}:{(146,1),(148,1),(219,1),(238,1),(240,1),(307,1),(313,1)}
       194:{2,7}:{(147,1),(148,1)}
       195:{2,3,6}:{(148,1),(149,1),(154,1),(233,1),(242,1),(243,1)}
       196:{2,4}:{(149,1),(155,1),(234,1)}
       197:{1,6,7}:{(150,1),(151,1),(222,1),(384,1)}
       198:{1,2,5,7}:{(151,1),(152,1),(153,1),(240,1),(244,1),(245,1),(328,1),(376,1)}
       199:{1,3,5,6}:{(152,1),(154,1),(224,1),(241,1),(245,1),(246,1),(248,1),(310,1),(331,1),(375,1),(377,1),(390,1),(416,1),(426,1)}
       200:{1,3,7}:{(153,1),(154,1),(242,1),(323,1)}
       201:{1,3,4,6}:{(154,1),(155,1),(243,1),(246,1),(247,1),(248,1),(324,1),(331,1)}
       202:{1,3,4}:{(156,1),(249,1),(270,1),(342,1)}
       203:{2,3,5}:{(156,1),(158,1),(162,1),(249,1),(250,1),(334,1),(392,1)}
       204:{2,3,7}:{(157,1),(158,1),(163,1),(251,1),(347,1)}
       205:{1,3,6}:{(158,1),(164,1),(250,1),(251,1),(252,1)}
       206:{2,4,5}:{(159,1),(162,1),(181,1),(249,1),(253,1),(254,1),(334,1),(394,1),(402,1)}
       207:{1,3,6}:{(160,1),(161,1),(169,1),(255,1)}
       208:{2,5,7}:{(161,1),(162,1),(163,1),(255,1),(256,1)}
       209:{1,5}:{(162,1),(164,1)}
       210:{1,4,7}:{(163,1),(164,1),(251,1),(256,1)}
       211:{1,2,4,6}:{(164,1),(165,1),(173,1),(185,1),(252,1),(257,1),(258,1),(259,1),(279,1),(333,1),(336,1),(338,1),(395,1)}
       212:{1,3}:{(165,1),(174,1)}
       213:{4,5,6}:{(166,1),(187,1),(260,1),(422,1),(425,1)}
       214:{3,4,6}:{(166,1),(167,1),(169,1),(260,1),(261,1),(408,1),(425,1)}
       215:{2,4,5,7}:{(167,1),(168,1),(170,1),(189,1),(261,1),(262,1),(280,1),(344,1),(398,1)}
       216:{1,4,5}:{(168,1),(171,1),(190,1),(263,1),(270,1),(338,1),(422,1)}
       217:{2,3,6}:{(169,1),(170,1),(175,1),(255,1),(261,1),(264,1),(361,1),(408,1),(424,1)}
       218:{1,3,5,7}:{(170,1),(171,1),(172,1),(176,1),(256,1),(262,1),(264,1),(265,1),(341,1),(354,1),(423,1)}
       219:{2,5}:{(171,1),(173,1)}
       220:{2,4,7}:{(172,1),(173,1),(194,1),(265,1),(267,1),(347,1)}
       221:{2,3,6}:{(173,1),(174,1),(179,1),(259,1),(266,1),(267,1),(283,1),(392,1)}
       222:{1,6}:{(175,1),(176,1)}
       223:{1,2,5,7}:{(176,1),(177,1),(178,1),(265,1),(268,1),(269,1),(423,1)}
       224:{1,3,5}:{(177,1),(179,1),(266,1),(270,1)}
       225:{1,3,7}:{(178,1),(179,1),(267,1)}
       226:{2,3,6}:{(181,1),(253,1),(271,1),(272,1),(283,1)}
       227:{2,4,7}:{(180,1),(181,1),(183,1),(271,1),(273,1),(347,1)}
       228:{1,4,6}:{(181,1),(184,1),(254,1),(272,1),(273,1)}
       229:{2,6,7}:{(182,1),(183,1),(255,1),(275,1),(424,1)}
       230:{1,5,7}:{(183,1),(184,1),(273,1),(275,1)}
       231:{1,2,5,6}:{(184,1),(185,1),(193,1),(257,1),(274,1),(276,1),(277,1),(336,1),(402,1),(424,1)}
       232:{1,2,7}:{(185,1),(194,1),(278,1)}
       233:{1,3,6}:{(185,1),(186,1),(195,1),(278,1),(279,1)}
       234:{1,4}:{(186,1),(196,1)}
       235:{3,5,7}:{(187,1),(188,1),(260,1),(280,1)}
       236:{2,4,6,7}:{(188,1),(189,1),(191,1),(261,1),(280,1),(281,1)}
       237:{1,4,7}:{(189,1),(190,1),(192,1),(282,1),(406,1)}
       238:{2,4,6}:{(190,1),(193,1),(263,1),(282,1),(283,1)}
       239:{1,3,6,7}:{(191,1),(192,1),(197,1),(264,1),(275,1),(281,1),(284,1),(356,1)}
       240:{2,5,7}:{(192,1),(193,1),(194,1),(282,1),(284,1),(347,1)}
       241:{2,3,5,6}:{(193,1),(195,1),(199,1),(266,1),(277,1),(283,1),(285,1),(286,1),(288,1),(343,1),(348,1),(358,1),(361,1),(396,1),(398,1),(402,1),(408,1),(409,1),(424,1)}
       242:{2,3,7}:{(194,1),(195,1),(200,1),(278,1),(287,1)}
       243:{2,4,6}:{(195,1),(196,1),(201,1),(279,1),(287,1),(288,1),(361,1)}
       244:{1,2,6,7}:{(197,1),(198,1),(268,1),(284,1),(289,1),(361,1)}
       245:{1,3,5,7}:{(198,1),(199,1),(200,1),(285,1),(289,1),(290,1),(362,1),(399,1),(423,1)}
       246:{1,4,6}:{(199,1),(270,1),(286,1),(290,1),(291,1)}
       247:{1,3,4,7}:{(200,1),(201,1),(287,1),(290,1),(292,1),(357,1)}
       248:{1,3,5}:{(201,1),(288,1),(291,1),(358,1)}
       249:{2,4}:{(202,1),(203,1),(294,1)}
       250:{1,3,5}:{(203,1),(205,1),(209,1),(294,1),(295,1),(365,1)}
       251:{1,3,7}:{(204,1),(205,1),(210,1),(296,1)}
       252:{1,2,6}:{(205,1),(295,1),(296,1),(313,1)}
       253:{2,3,5}:{(206,1),(226,1),(293,1),(297,1),(306,1)}
       254:{1,4,5}:{(206,1),(209,1),(228,1),(294,1),(297,1),(411,1),(416,1)}
       255:{2,6}:{(207,1),(208,1),(299,1)}
       256:{1,5,7}:{(208,1),(209,1),(210,1),(299,1)}
       257:{1,2,5}:{(209,1),(211,1),(219,1),(301,1),(320,1),(412,1)}
       258:{1,2,4,7}:{(210,1),(211,1),(220,1),(232,1),(296,1),(300,1),(302,1),(319,1),(370,1)}
       259:{1,3,6}:{(211,1),(212,1),(221,1),(301,1),(302,1),(365,1)}
       260:{3,5,6}:{(213,1),(214,1),(235,1),(303,1),(414,1)}
       261:{2,4,6}:{(214,1),(215,1),(217,1),(303,1),(304,1)}
       262:{1,4,5,7}:{(215,1),(216,1),(218,1),(237,1),(304,1),(305,1),(311,1),(321,1),(370,1),(375,1),(412,1)}
       263:{2,4,5}:{(216,1),(219,1),(238,1),(306,1),(309,1)}
       264:{1,3,6}:{(217,1),(218,1),(222,1),(299,1),(304,1),(307,1),(372,1),(384,1),(426,1)}
       265:{2,5,7}:{(218,1),(219,1),(220,1),(307,1)}
       266:{2,3,5}:{(219,1),(221,1),(224,1),(301,1),(306,1),(309,1)}
       267:{2,3,7}:{(220,1),(221,1),(225,1),(302,1),(323,1)}
       268:{1,2,6}:{(222,1),(223,1),(307,1),(310,1),(426,1)}
       269:{1,3,5,7}:{(223,1),(224,1),(225,1),(308,1),(310,1),(311,1),(375,1)}
       270:{1,4}:{(224,1),(309,1)}
       271:{2,3,7}:{(226,1),(227,1),(312,1),(323,1)}
       272:{1,3,6}:{(226,1),(228,1),(297,1),(312,1),(313,1)}
       273:{1,4,7}:{(227,1),(228,1),(230,1),(312,1)}
       274:{1,2,4,6}:{(228,1),(231,1),(238,1),(298,1),(313,1),(314,1),(315,1),(318,1),(379,1)}
       275:{1,6,7}:{(229,1),(230,1),(299,1),(426,1)}
       276:{1,2,5,7}:{(230,1),(231,1),(232,1),(240,1),(314,1),(316,1),(317,1),(417,1)}
       277:{1,3,5,6}:{(231,1),(233,1),(241,1),(301,1),(315,1),(317,1),(318,1),(320,1),(369,1),(381,1),(384,1),(412,1),(418,1),(419,1)}
       278:{1,3,7}:{(232,1),(233,1),(242,1),(319,1)}
       279:{1,4,6}:{(233,1),(234,1),(243,1),(319,1),(320,1),(384,1)}
       280:{2,5,7}:{(235,1),(236,1),(303,1),(321,1)}
       281:{1,4,6,7}:{(236,1),(237,1),(239,1),(304,1),(321,1),(322,1)}
       282:{2,4,7}:{(237,1),(238,1),(240,1),(323,1)}
       283:{3,6}:{(238,1),(306,1),(323,1)}
       284:{2,6,7}:{(239,1),(240,1),(307,1)}
       285:{2,3,5,7}:{(240,1),(241,1),(242,1),(245,1),(317,1),(323,1),(325,1),(326,1),(328,1),(378,1),(385,1),(387,1),(388,1),(417,1)}
       286:{2,4,6}:{(241,1),(246,1),(309,1),(318,1),(324,1),(326,1),(327,1),(413,1)}
       287:{2,4,7}:{(242,1),(243,1),(247,1),(319,1),(328,1)}
       288:{2,5}:{(243,1),(248,1),(320,1)}
       289:{1,3,6,7}:{(244,1),(245,1),(310,1),(325,1),(329,1),(331,1),(426,1)}
       290:{1,4,7}:{(245,1),(246,1),(326,1)}
       291:{1,4,5}:{(246,1),(248,1),(327,1),(375,1),(416,1)}
       292:{1,3,5,7}:{(247,1),(248,1),(328,1),(330,1),(331,1),(387,1)}
       293:{2,3,4}:{(249,1),(253,1),(332,1),(342,1),(392,1),(394,1)}
       294:{1,4}:{(249,1),(250,1)}
       295:{1,2,5}:{(250,1),(252,1),(333,1),(334,1)}
       296:{1,2,7}:{(251,1),(252,1),(347,1)}
       297:{1,3,5}:{(253,1),(254,1),(272,1),(332,1),(334,1)}
       298:{1,2,4,5}:{(254,1),(257,1),(263,1),(274,1),(333,1),(334,1),(335,1),(338,1),(353,1),(394,1),(402,1)}
       299:{1,6}:{(255,1),(256,1)}
       300:{1,2,5,7}:{(256,1),(257,1),(258,1),(265,1),(336,1),(337,1),(354,1)}
       301:{1,3,5}:{(257,1),(259,1),(266,1),(338,1)}
       302:{1,3,7}:{(258,1),(259,1),(267,1)}
       303:{2,5,6}:{(260,1),(261,1),(280,1),(339,1),(398,1)}
       304:{1,4,6}:{(261,1),(262,1),(264,1),(339,1),(340,1)}
       305:{2,4,5,7}:{(262,1),(263,1),(265,1),(282,1),(340,1),(341,1),(344,1),(355,1),(398,1),(406,1),(422,1)}
       306:{3,5}:{(263,1),(283,1),(342,1)}
       307:{2,6}:{(264,1),(265,1)}
       308:{2,3,5,7}:{(265,1),(266,1),(267,1),(269,1),(337,1),(341,1),(343,1),(344,1),(398,1)}
       309:{2,4}:{(266,1),(270,1),(338,1),(342,1)}
       310:{1,3,6}:{(268,1),(269,1),(343,1),(345,1)}
       311:{1,4,7}:{(269,1),(270,1),(344,1),(345,1)}
       312:{1,3,7}:{(271,1),(272,1),(273,1),(347,1)}
       313:{2,6}:{(272,1),(334,1),(347,1)}
       314:{1,2,4,7}:{(273,1),(274,1),(276,1),(282,1),(347,1),(349,1),(352,1),(401,1)}
       315:{1,3,6}:{(274,1),(283,1),(335,1),(348,1),(349,1)}
       316:{1,2,6,7}:{(275,1),(276,1),(284,1),(336,1),(351,1),(424,1)}
       317:{1,3,5,7}:{(276,1),(277,1),(278,1),(285,1),(349,1),(351,1),(352,1),(354,1),(404,1)}
       318:{1,4,6}:{(277,1),(286,1),(338,1),(352,1),(353,1)}
       319:{1,4,7}:{(278,1),(279,1),(287,1),(354,1)}
       320:{1,5}:{(279,1),(288,1)}
       321:{1,5,7}:{(280,1),(281,1),(339,1),(355,1)}
       322:{2,4,6,7}:{(281,1),(282,1),(284,1),(340,1),(355,1),(356,1),(406,1)}
       323:{3,7}:{(282,1),(283,1)}
       324:{3,4,6}:{(283,1),(286,1),(342,1),(357,1),(358,1),(408,1)}
       325:{2,3,6,7}:{(284,1),(285,1),(289,1),(343,1),(351,1),(356,1),(359,1),(361,1),(408,1),(424,1)}
       326:{2,4,7}:{(285,1),(286,1),(290,1),(352,1),(357,1),(406,1)}
       327:{2,4,5}:{(286,1),(288,1),(291,1),(353,1),(358,1),(398,1),(402,1),(422,1)}
       328:{2,5,7}:{(287,1),(288,1),(292,1),(354,1),(361,1)}
       329:{1,4,6,7}:{(289,1),(290,1),(345,1),(359,1),(362,1),(363,1)}
       330:{1,4,5,7}:{(290,1),(291,1),(292,1),(360,1),(362,1),(363,1),(423,1)}
       331:{1,3,6}:{(292,1),(361,1),(363,1),(408,1)}
       332:{1,3,4}:{(293,1),(294,1),(297,1),(364,1),(365,1),(410,1),(411,1)}
       333:{1,2,4}:{(294,1),(295,1),(364,1),(365,1)}
       334:{2,5}:{(297,1),(313,1),(364,1)}
       335:{1,3,5}:{(298,1),(306,1),(315,1),(365,1),(367,1),(368,1)}
       336:{1,2,6}:{(299,1),(300,1),(307,1),(369,1),(384,1)}
       337:{1,3,5,7}:{(300,1),(301,1),(302,1),(308,1),(369,1),(370,1),(412,1)}
       338:{1,4}:{(301,1),(309,1)}
       339:{1,5,6}:{(303,1),(304,1),(321,1),(371,1),(375,1),(412,1)}
       340:{2,4,6}:{(304,1),(305,1),(307,1),(371,1),(372,1),(413,1)}
       341:{3,5,7}:{(305,1),(306,1),(323,1),(372,1),(373,1),(414,1)}
       342:{3,4}:{(306,1),(309,1)}
       343:{2,3,6}:{(307,1),(308,1),(310,1),(369,1),(372,1),(374,1)}
       344:{2,4,7}:{(308,1),(309,1),(311,1),(370,1),(373,1),(374,1)}
       345:{1,4,6}:{(310,1),(311,1),(374,1),(375,1)}
       346:{1,2,6}:{(313,1),(366,1),(376,1),(377,1)}
       347:{2,7}:{(312,1),(313,1)}
       348:{2,3,6}:{(313,1),(315,1),(367,1),(377,1),(378,1),(379,1)}
       349:{1,3,7}:{(314,1),(315,1),(323,1),(378,1)}
       350:{1,3,4,6}:{(315,1),(318,1),(324,1),(368,1),(379,1),(380,1),(381,1),(418,1)}
       351:{1,3,6,7}:{(316,1),(317,1),(325,1),(369,1),(382,1),(384,1),(418,1)}
       352:{1,4,7}:{(317,1),(318,1),(326,1)}
       353:{1,4,5}:{(318,1),(320,1),(327,1),(381,1),(412,1)}
       354:{1,5,7}:{(319,1),(320,1),(328,1),(384,1)}
       355:{2,5,7}:{(321,1),(322,1),(371,1),(385,1)}
       356:{3,6,7}:{(322,1),(323,1),(372,1),(385,1)}
       357:{3,4,7}:{(323,1),(324,1),(326,1),(387,1)}
       358:{3,5}:{(324,1),(327,1)}
       359:{2,4,6,7}:{(325,1),(326,1),(329,1),(374,1),(382,1),(386,1),(388,1),(389,1)}
       360:{2,4,5,7}:{(326,1),(327,1),(328,1),(330,1),(383,1),(387,1),(388,1),(389,1),(417,1),(420,1)}
       361:{2,6}:{(328,1),(331,1),(384,1)}
       362:{1,5,7}:{(329,1),(375,1),(388,1),(390,1)}
       363:{1,4,6}:{(330,1),(331,1),(389,1),(390,1),(426,1)}
       364:{2,4}:{(332,1),(334,1),(392,1)}
       365:{1,3}:{(333,1),(392,1)}
       366:{1,2,5}:{(334,1),(346,1),(391,1),(393,1)}
       367:{2,3,5}:{(334,1),(335,1),(348,1),(392,1),(393,1),(394,1),(402,1)}
       368:{1,3,4}:{(335,1),(338,1),(342,1),(394,1)}
       369:{1,3,6}:{(336,1),(337,1),(343,1),(395,1)}
       370:{1,4,7}:{(337,1),(338,1),(344,1),(395,1)}
       371:{2,5,6}:{(339,1),(340,1),(355,1),(396,1),(398,1)}
       372:{3,6}:{(340,1),(341,1)}
       373:{3,4,7}:{(341,1),(342,1),(344,1),(397,1),(406,1)}
       374:{2,4,6}:{(343,1),(344,1),(345,1),(395,1),(397,1),(398,1)}
       375:{1,5}:{(345,1),(398,1)}
       376:{1,2,7}:{(346,1),(347,1),(399,1)}
       377:{1,3,6}:{(346,1),(348,1),(393,1),(399,1),(400,1)}
       378:{2,3,7}:{(347,1),(348,1),(349,1),(399,1),(401,1)}
       379:{2,4,6}:{(348,1),(350,1),(394,1),(400,1),(401,1),(402,1),(424,1)}
       380:{1,3,4,7}:{(349,1),(350,1),(352,1),(357,1),(401,1),(403,1)}
       381:{1,3,5}:{(350,1),(353,1),(358,1),(402,1)}
       382:{1,4,6,7}:{(351,1),(352,1),(359,1),(395,1),(404,1),(405,1)}
       383:{1,4,5,7}:{(352,1),(353,1),(354,1),(360,1),(403,1),(404,1),(405,1)}
       384:{1,6}:{(354,1),(361,1)}
       385:{3,5,7}:{(355,1),(356,1),(396,1),(406,1)}
       386:{3,4,6,7}:{(356,1),(357,1),(359,1),(397,1),(406,1),(407,1),(408,1),(425,1)}
       387:{3,5,7}:{(357,1),(358,1),(360,1),(408,1)}
       388:{2,5,7}:{(359,1),(362,1),(398,1),(404,1),(407,1),(409,1)}
       389:{2,4,6}:{(360,1),(361,1),(363,1),(405,1),(408,1),(409,1),(424,1),(425,1)}
       390:{1,5,6}:{(362,1),(363,1),(409,1)}
       391:{1,2,4}:{(364,1),(366,1),(410,1),(411,1)}
       392:{2,3}:{(364,1),(365,1),(410,1)}
       393:{1,3,5}:{(366,1),(367,1),(377,1),(410,1),(411,1),(416,1)}
       394:{2,4}:{(367,1),(368,1),(411,1)}
       395:{1,4,6}:{(369,1),(370,1),(374,1),(412,1)}
       396:{3,5,6}:{(371,1),(372,1),(385,1),(413,1),(414,1)}
       397:{3,4,6}:{(372,1),(373,1),(374,1),(413,1),(414,1)}
       398:{2,5}:{(374,1),(375,1),(412,1),(414,1)}
       399:{1,3,7}:{(376,1),(377,1),(378,1),(415,1)}
       400:{1,4,6}:{(377,1),(379,1),(411,1),(415,1),(416,1),(426,1)}
       401:{2,4,7}:{(378,1),(379,1),(380,1),(415,1),(417,1)}
       402:{2,5}:{(379,1),(381,1),(416,1)}
       403:{1,3,5,7}:{(380,1),(381,1),(383,1),(387,1),(417,1),(418,1)}
       404:{1,5,7}:{(382,1),(388,1),(412,1),(419,1)}
       405:{1,4,6}:{(383,1),(384,1),(389,1),(418,1),(419,1)}
       406:{4,7}:{(385,1),(413,1)}
       407:{3,5,7}:{(386,1),(388,1),(414,1),(420,1),(421,1)}
       408:{3,6}:{(387,1),(389,1)}
       409:{2,5,6}:{(388,1),(389,1),(390,1),(419,1),(421,1)}
       410:{1,3}:{(391,1),(392,1)}
       411:{1,4}:{(393,1),(394,1)}
       412:{1,5}:{(395,1),(398,1)}
       413:{4,6}:{(396,1),(406,1),(422,1)}
       414:{3,5}:{(397,1),(398,1),(422,1)}
       415:{1,4,7}:{(399,1),(400,1),(401,1),(423,1)}
       416:{1,5}:{(400,1),(402,1)}
       417:{2,5,7}:{(401,1),(402,1),(403,1),(423,1),(424,1)}
       418:{1,3,6}:{(403,1),(405,1),(408,1),(424,1)}
       419:{1,5,6}:{(404,1),(405,1),(409,1)}
       420:{4,5,7}:{(406,1),(407,1),(422,1),(425,1)}
       421:{3,5,6}:{(407,1),(408,1),(409,1),(425,1)}
       422:{4,5}:{(413,1),(414,1)}
       423:{1,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,6}:{(417,1),(418,1),(426,1)}
       425:{4,6}:{(420,1),(421,1)}
       426:{1,6}:{(423,1),(424,1)}

 973 :   0:{1,2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(20,1),(48,1),(49,1),(52,1),(57,1),(102,1),(110,1),(177,1),(179,1),(198,1),(241,1),(247,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(27,1),(139,1),(148,1),(210,1),(213,1),(231,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(26,1),(33,1),(39,1),(89,1),(146,1),(166,1),(271,1)}
         3:{1,3,4,5,7}:{(4,1),(9,1),(10,1),(27,1),(34,1),(37,1),(74,1),(97,1),(143,1),(144,1),(148,1),(162,1),(163,1),(173,1),(213,1),(231,1),(239,1),(283,1)}
         4:{1,3,4,7}:{(1,1),(11,1),(12,1),(52,1),(117,1),(241,1),(243,1)}
         5:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(44,1),(52,1),(61,1),(122,1),(198,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(57,1),(103,1),(178,1)}
         7:{1,3,6}:{(1,1),(2,1),(16,1),(182,1),(202,1)}
         8:{1,2,5,6}:{(2,1),(14,1),(17,1),(48,1),(66,1),(107,1),(127,1),(177,1),(251,1)}
         9:{2,4,5,7}:{(3,1),(11,1),(18,1),(20,1),(21,1),(48,1),(57,1),(62,1),(106,1),(124,1),(125,1),(179,1),(198,1),(200,1)}
        10:{1,3,4,6}:{(3,1),(21,1),(22,1),(58,1),(108,1),(128,1),(129,1),(182,1),(202,1),(266,1),(298,1)}
        11:{2,4,7}:{(4,1),(6,1),(25,1),(26,1),(212,1)}
        12:{1,3,4,6}:{(4,1),(7,1),(26,1),(27,1),(33,1),(84,1)}
        13:{1,3,6,7}:{(5,1),(7,1),(28,1),(29,1),(231,1),(271,1)}
        14:{1,2,5,7}:{(5,1),(8,1),(29,1),(73,1),(95,1),(161,1),(274,1)}
        15:{1,3,5,7}:{(6,1),(25,1),(30,1),(31,1),(75,1),(77,1),(149,1)}
        16:{2,3,6}:{(6,1),(7,1),(26,1),(31,1),(89,1)}
        17:{1,3,5,6}:{(7,1),(8,1),(27,1),(29,1),(32,1),(33,1),(210,1),(219,1),(222,1),(271,1)}
        18:{2,3,5,7}:{(9,1),(23,1),(34,1),(35,1),(70,1),(148,1),(213,1),(216,1),(231,1),(283,1),(305,1)}
        19:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(86,1),(93,1),(162,1),(163,1),(169,1),(231,1)}
        20:{1,4,5,7}:{(9,1),(25,1),(34,1),(39,1),(77,1),(95,1),(143,1),(157,1),(162,1),(226,1)}
        21:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1),(89,1)}
        22:{1,3,5,6}:{(10,1),(27,1),(37,1),(40,1),(41,1),(101,1),(173,1)}
        23:{2,3,4,7}:{(11,1),(18,1),(42,1),(43,1),(103,1),(117,1),(124,1),(125,1),(188,1),(243,1),(260,1),(261,1),(293,1)}
        24:{1,3,4,6,7}:{(12,1),(13,1),(44,1),(45,1),(52,1),(108,1),(117,1),(182,1)}
        25:{1,4,7}:{(11,1),(15,1),(47,1),(184,1)}
        26:{2,4,6}:{(11,1),(12,1),(16,1),(47,1),(48,1)}
        27:{1,3,5}:{(12,1),(48,1),(49,1),(114,1)}
        28:{2,3,6,7}:{(13,1),(16,1),(44,1),(50,1),(51,1),(122,1),(182,1),(246,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(17,1),(51,1),(52,1),(247,1),(250,1)}
        30:{1,2,5,7}:{(15,1),(46,1),(53,1),(57,1),(112,1),(312,1)}
        31:{1,3,6}:{(15,1),(16,1),(47,1),(53,1)}
        32:{2,3,5,6}:{(16,1),(17,1),(48,1),(51,1),(54,1),(55,1),(107,1),(114,1),(127,1),(178,1),(182,1),(186,1),(189,1),(202,1),(246,1)}
        33:{1,4,6}:{(17,1),(49,1),(52,1),(55,1),(241,1)}
        34:{1,3,5,7}:{(18,1),(20,1),(42,1),(57,1),(58,1),(105,1),(247,1),(312,1)}
        35:{2,3,6}:{(18,1),(21,1),(58,1),(182,1),(202,1),(246,1),(298,1),(311,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(56,1),(61,1),(62,1),(122,1),(124,1),(198,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(62,1),(63,1),(135,1)}
        38:{1,2,4,5,7}:{(20,1),(46,1),(57,1),(64,1),(65,1),(112,1),(125,1),(133,1),(179,1),(184,1),(198,1),(200,1),(206,1),(208,1),(259,1),(312,1)}
        39:{1,4,6}:{(20,1),(21,1),(58,1),(66,1)}
        40:{2,5,6}:{(21,1),(22,1),(48,1),(62,1),(66,1),(200,1)}
        41:{1,4,5,6}:{(22,1),(49,1),(63,1),(67,1),(108,1),(128,1),(208,1),(209,1),(266,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(34,1),(68,1),(69,1),(75,1),(139,1),(157,1),(162,1),(221,1),(231,1),(284,1),(306,1)}
        43:{2,3,4,6}:{(23,1),(26,1),(35,1),(69,1),(70,1),(84,1),(91,1),(141,1),(155,1),(164,1),(212,1),(234,1),(235,1),(269,1),(280,1)}
        44:{2,4,6,7}:{(24,1),(26,1),(28,1),(72,1),(73,1),(81,1),(146,1)}
        45:{1,3,5,7}:{(24,1),(27,1),(71,1),(73,1),(74,1),(148,1)}
        46:{1,2,4,7}:{(25,1),(30,1),(68,1),(75,1),(76,1),(306,1),(307,1)}
        47:{1,4,6}:{(25,1),(26,1),(31,1),(77,1)}
        48:{2,5}:{(26,1),(27,1),(77,1)}
        49:{1,4,5}:{(27,1),(33,1),(78,1),(219,1)}
        50:{1,3,6,7}:{(28,1),(31,1),(72,1),(79,1),(80,1),(215,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(32,1),(73,1),(80,1),(81,1),(148,1),(161,1),(216,1),(220,1),(231,1)}
        52:{1,4,7}:{(29,1),(33,1),(81,1)}
        53:{1,2,6}:{(30,1),(31,1),(89,1),(314,1)}
        54:{1,3,5,6}:{(31,1),(32,1),(77,1),(80,1),(82,1),(83,1),(145,1),(149,1),(151,1),(154,1),(215,1)}
        55:{2,4,6}:{(32,1),(33,1),(78,1),(81,1),(83,1),(84,1),(212,1)}
        56:{2,3,6,7}:{(35,1),(36,1),(86,1),(87,1),(169,1),(231,1),(237,1)}
        57:{2,5,7}:{(34,1),(68,1),(89,1),(142,1)}
        58:{1,3,6}:{(34,1),(35,1),(39,1),(89,1),(271,1),(314,1)}
        59:{2,3,5,6}:{(35,1),(40,1),(70,1),(87,1),(90,1),(91,1),(101,1),(175,1),(235,1)}
        60:{1,3,5,6,7}:{(37,1),(71,1),(92,1),(93,1),(169,1),(238,1)}
        61:{1,4,6,7}:{(36,1),(39,1),(86,1),(95,1),(162,1)}
        62:{2,5,7}:{(36,1),(37,1),(40,1),(95,1)}
        63:{1,4,5,7}:{(37,1),(41,1),(93,1),(96,1),(162,1),(240,1)}
        64:{1,3,5,7}:{(38,1),(75,1),(88,1),(97,1),(98,1),(149,1),(173,1),(213,1),(231,1),(283,1)}
        65:{1,2,4,6}:{(38,1),(39,1),(89,1),(98,1),(99,1),(164,1),(166,1),(174,1),(282,1),(314,1)}
        66:{1,5,6}:{(39,1),(40,1),(77,1),(95,1),(226,1)}
        67:{2,4,5,6}:{(40,1),(41,1),(78,1),(91,1),(96,1),(100,1),(101,1),(146,1),(166,1),(175,1),(233,1),(282,1)}
        68:{2,4,7}:{(42,1),(57,1),(103,1),(104,1),(299,1)}
        69:{1,3,4,6}:{(42,1),(43,1),(47,1),(58,1),(104,1),(105,1),(111,1),(128,1),(176,1),(184,1),(190,1),(193,1),(202,1),(241,1),(243,1),(264,1),(288,1),(296,1)}
        70:{2,3,5}:{(43,1),(48,1),(105,1),(106,1),(114,1),(186,1),(200,1),(263,1),(295,1)}
        71:{1,3,5,6}:{(45,1),(107,1),(108,1),(182,1)}
        72:{1,4,6,7}:{(44,1),(47,1),(50,1),(109,1),(116,1),(181,1)}
        73:{2,5,7}:{(44,1),(45,1),(48,1),(107,1),(109,1)}
        74:{1,4,5,7}:{(45,1),(49,1),(52,1),(108,1),(110,1),(247,1)}
        75:{1,3,7}:{(46,1),(103,1),(111,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(53,1),(104,1),(111,1),(112,1),(184,1),(296,1),(297,1),(309,1)}
        77:{1,5}:{(47,1),(48,1)}
        78:{2,4,5}:{(48,1),(49,1),(55,1),(113,1),(114,1),(186,1)}
        79:{1,2,6,7}:{(50,1),(53,1),(115,1),(122,1),(246,1),(265,1)}
        80:{1,3,5,7}:{(50,1),(51,1),(54,1),(109,1),(115,1),(116,1),(187,1)}
        81:{2,4,7}:{(51,1),(52,1),(55,1),(116,1),(117,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(112,1),(115,1),(118,1),(127,1),(186,1),(209,1),(246,1)}
        83:{1,4,6}:{(54,1),(55,1),(113,1),(116,1),(184,1)}
        84:{3,4,6}:{(55,1),(114,1),(117,1),(182,1),(202,1),(243,1)}
        85:{1,2,5,7}:{(57,1),(102,1),(120,1),(121,1),(177,1),(247,1)}
        86:{1,3,6,7}:{(56,1),(58,1),(61,1),(122,1),(123,1),(265,1)}
        87:{2,3,5,7}:{(56,1),(59,1),(62,1),(123,1),(124,1),(135,1),(207,1),(261,1)}
        88:{2,3,5,7}:{(57,1),(64,1),(103,1),(120,1),(125,1),(126,1),(178,1),(200,1)}
        89:{2,6}:{(57,1),(58,1)}
        90:{1,3,5,6}:{(58,1),(59,1),(66,1),(105,1),(123,1),(127,1),(128,1),(202,1),(209,1),(264,1)}
        91:{2,4,6}:{(59,1),(106,1),(124,1),(128,1),(129,1)}
        92:{2,5,6,7}:{(60,1),(62,1),(107,1),(130,1),(131,1),(258,1)}
        93:{1,4,6,7}:{(60,1),(63,1),(108,1),(131,1),(265,1),(266,1)}
        94:{1,2,4,6,7}:{(61,1),(65,1),(122,1),(132,1),(133,1),(196,1),(198,1),(206,1)}
        95:{1,5,7}:{(61,1),(62,1),(66,1)}
        96:{2,4,5,7}:{(62,1),(63,1),(67,1),(124,1),(131,1),(134,1),(135,1),(198,1),(207,1)}
        97:{1,3,4,7}:{(64,1),(125,1),(136,1),(184,1),(206,1),(243,1),(260,1)}
        98:{1,3,6}:{(64,1),(65,1),(126,1),(202,1),(298,1)}
        99:{1,2,5,6}:{(65,1),(66,1),(112,1),(127,1),(133,1),(137,1),(200,1),(258,1),(297,1)}
       100:{1,4,5,6}:{(66,1),(67,1),(113,1),(128,1),(134,1),(138,1),(181,1),(255,1),(291,1)}
       101:{3,5,6}:{(67,1),(114,1),(129,1),(135,1),(182,1),(202,1),(263,1),(298,1)}
       102:{1,2,4,7}:{(68,1),(85,1),(139,1),(140,1),(157,1),(221,1),(274,1)}
       103:{2,3,7}:{(68,1),(75,1),(139,1),(141,1),(231,1)}
       104:{2,4,6}:{(68,1),(69,1),(89,1),(141,1),(142,1),(212,1),(285,1),(302,1)}
       105:{1,3,5}:{(69,1),(70,1),(77,1),(142,1),(143,1),(213,1),(219,1),(226,1),(308,1)}
       106:{2,4,5}:{(70,1),(91,1),(143,1),(144,1),(212,1)}
       107:{2,5,6}:{(71,1),(73,1),(145,1),(146,1)}
       108:{1,4,6}:{(71,1),(74,1),(146,1),(271,1)}
       109:{1,5,7}:{(72,1),(73,1),(77,1),(145,1)}
       110:{2,4,5,7}:{(73,1),(74,1),(78,1),(81,1),(146,1),(147,1),(148,1),(216,1)}
       111:{1,3,6}:{(75,1),(76,1),(141,1),(149,1),(313,1)}
       112:{1,2,5}:{(76,1),(77,1),(142,1),(149,1),(308,1)}
       113:{1,4,5}:{(77,1),(78,1),(83,1),(151,1)}
       114:{3,5}:{(78,1),(84,1)}
       115:{1,2,5,7}:{(79,1),(80,1),(82,1),(152,1),(161,1),(216,1),(240,1)}
       116:{1,4,7}:{(80,1),(81,1),(83,1)}
       117:{3,4,7}:{(81,1),(84,1),(148,1),(231,1)}
       118:{1,2,4,6}:{(82,1),(83,1),(150,1),(152,1),(154,1),(155,1),(166,1),(236,1),(285,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(151,1),(153,1),(154,1),(155,1),(215,1),(217,1)}
       120:{1,3,5,7}:{(85,1),(88,1),(139,1),(157,1),(158,1),(210,1),(226,1)}
       121:{1,2,6}:{(85,1),(89,1),(158,1),(271,1)}
       122:{2,6,7}:{(86,1),(89,1),(161,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(90,1),(95,1),(161,1),(162,1),(231,1),(240,1),(284,1)}
       124:{2,4,7}:{(87,1),(91,1),(162,1),(163,1)}
       125:{2,4,7}:{(88,1),(97,1),(157,1),(164,1),(212,1)}
       126:{2,3,6}:{(88,1),(89,1),(98,1),(158,1),(164,1)}
       127:{2,5,6}:{(89,1),(90,1),(142,1),(161,1),(166,1),(285,1)}
       128:{1,4,6}:{(90,1),(91,1),(143,1),(162,1),(166,1)}
       129:{3,4,6}:{(91,1),(101,1),(144,1),(163,1)}
       130:{1,5,6,7}:{(92,1),(95,1),(145,1),(168,1),(275,1)}
       131:{2,4,6,7}:{(92,1),(93,1),(96,1),(146,1),(168,1),(169,1),(237,1),(282,1)}
       132:{1,3,6,7}:{(94,1),(98,1),(160,1),(171,1),(231,1),(314,1)}
       133:{1,2,5,7}:{(94,1),(95,1),(99,1),(161,1),(171,1),(229,1),(307,1)}
       134:{1,4,5,7}:{(95,1),(96,1),(100,1),(162,1),(168,1),(172,1)}
       135:{3,5,7}:{(96,1),(101,1),(163,1),(169,1),(231,1)}
       136:{1,3,4,6}:{(97,1),(98,1),(164,1),(173,1),(174,1),(234,1)}
       137:{1,3,5,6}:{(98,1),(99,1),(149,1),(165,1),(171,1),(173,1),(174,1),(281,1),(308,1),(314,1)}
       138:{1,3,5,6}:{(100,1),(101,1),(151,1),(167,1),(172,1),(175,1),(215,1),(279,1),(304,1)}
       139:{1,3,7}:{(102,1),(103,1),(176,1)}
       140:{1,2,4,6}:{(102,1),(104,1),(121,1),(176,1),(177,1),(190,1),(193,1),(241,1),(251,1),(290,1)}
       141:{2,3,6}:{(103,1),(104,1),(111,1),(176,1),(178,1),(202,1),(310,1)}
       142:{2,5}:{(104,1),(105,1)}
       143:{1,4,5}:{(105,1),(106,1),(128,1),(179,1),(184,1),(241,1)}
       144:{3,4,5}:{(106,1),(114,1),(129,1),(243,1),(263,1)}
       145:{1,5,6}:{(107,1),(109,1),(181,1)}
       146:{2,4,6}:{(107,1),(108,1),(110,1),(181,1),(182,1),(246,1)}
       147:{1,4,5,7}:{(109,1),(110,1),(113,1),(116,1),(181,1),(183,1)}
       148:{3,5,7}:{(110,1),(114,1),(117,1),(182,1)}
       149:{1,3,5}:{(111,1),(112,1),(178,1),(184,1)}
       150:{1,2,4,5}:{(112,1),(113,1),(118,1),(179,1),(184,1),(185,1),(186,1),(245,1),(248,1),(289,1),(309,1)}
       151:{1,3,5}:{(113,1),(114,1),(119,1),(186,1)}
       152:{1,2,4,7}:{(115,1),(116,1),(118,1),(187,1),(188,1),(198,1),(262,1),(299,1)}
       153:{1,3,4,7}:{(116,1),(117,1),(119,1),(183,1),(187,1),(188,1)}
       154:{1,3,6}:{(118,1),(185,1),(187,1),(189,1),(202,1)}
       155:{2,4,6}:{(119,1),(186,1),(188,1),(189,1),(190,1),(246,1),(248,1)}
       156:{1,2,6,7}:{(121,1),(122,1),(191,1),(192,1),(265,1),(311,1)}
       157:{1,4,7}:{(120,1),(125,1),(193,1),(241,1)}
       158:{1,3,6}:{(120,1),(121,1),(126,1),(193,1)}
       159:{1,2,5,6}:{(121,1),(127,1),(177,1),(192,1),(194,1),(195,1),(209,1),(295,1),(311,1)}
       160:{2,3,6,7}:{(122,1),(126,1),(132,1),(191,1),(196,1),(197,1),(298,1),(311,1)}
       161:{2,5,7}:{(122,1),(123,1),(127,1),(198,1),(299,1)}
       162:{1,4,7}:{(123,1),(124,1),(128,1),(198,1)}
       163:{3,4,7}:{(124,1),(129,1),(135,1)}
       164:{2,4,6}:{(125,1),(126,1),(136,1),(193,1),(200,1)}
       165:{2,3,5,6}:{(126,1),(127,1),(137,1),(178,1),(194,1),(197,1),(200,1),(201,1),(202,1),(257,1),(258,1),(263,1),(295,1),(298,1),(311,1)}
       166:{2,4,6}:{(127,1),(128,1),(179,1),(198,1),(202,1)}
       167:{1,3,4,6}:{(128,1),(129,1),(138,1),(180,1),(199,1),(202,1),(203,1),(264,1)}
       168:{1,4,6,7}:{(130,1),(131,1),(134,1),(181,1),(204,1),(291,1)}
       169:{3,6,7}:{(131,1),(135,1),(182,1),(298,1)}
       170:{1,3,4,6,7}:{(132,1),(136,1),(196,1),(205,1),(206,1),(260,1),(266,1),(298,1)}
       171:{1,3,5,7}:{(132,1),(133,1),(137,1),(197,1),(206,1),(294,1),(312,1)}
       172:{1,3,5,7}:{(134,1),(135,1),(138,1),(199,1),(204,1),(207,1)}
       173:{1,3,5}:{(136,1),(200,1),(208,1),(263,1)}
       174:{1,4,6}:{(137,1),(184,1),(201,1),(206,1),(208,1)}
       175:{2,5,6}:{(138,1),(186,1),(203,1),(207,1),(209,1),(246,1),(295,1),(311,1)}
       176:{1,3,6}:{(139,1),(140,1),(141,1),(210,1),(303,1)}
       177:{1,2,5}:{(140,1),(142,1),(210,1),(219,1),(226,1)}
       178:{2,3,5}:{(141,1),(142,1),(149,1),(210,1),(212,1),(213,1)}
       179:{2,4,5}:{(142,1),(143,1),(166,1),(212,1),(213,1)}
       180:{1,3,4,5}:{(143,1),(144,1),(151,1),(167,1),(213,1),(214,1),(217,1),(267,1),(270,1),(279,1)}
       181:{1,4,6}:{(145,1),(146,1),(147,1),(215,1)}
       182:{3,6}:{(146,1),(148,1)}
       183:{1,3,5,7}:{(147,1),(148,1),(151,1),(153,1),(215,1),(216,1)}
       184:{1,4}:{(149,1),(212,1)}
       185:{1,3,5}:{(150,1),(154,1),(213,1),(217,1),(218,1),(313,1)}
       186:{2,5}:{(151,1),(155,1),(219,1)}
       187:{1,3,7}:{(152,1),(154,1),(220,1),(231,1)}
       188:{2,4,7}:{(153,1),(155,1),(216,1),(220,1),(221,1)}
       189:{2,3,6}:{(154,1),(155,1),(218,1),(220,1),(222,1),(285,1)}
       190:{1,4,6}:{(155,1),(219,1),(221,1),(222,1),(271,1),(272,1)}
       191:{1,3,6,7}:{(156,1),(158,1),(160,1),(223,1),(224,1),(304,1)}
       192:{1,2,5,7}:{(156,1),(159,1),(161,1),(224,1),(225,1),(240,1),(305,1)}
       193:{1,4,6}:{(157,1),(158,1),(164,1),(226,1)}
       194:{1,3,5,6}:{(158,1),(159,1),(165,1),(210,1),(224,1),(226,1),(227,1),(228,1),(275,1),(279,1),(304,1)}
       195:{1,2,4,6}:{(159,1),(166,1),(211,1),(225,1),(227,1),(228,1),(236,1),(280,1),(285,1)}
       196:{2,4,6,7}:{(160,1),(164,1),(170,1),(223,1),(229,1),(230,1),(282,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(165,1),(171,1),(224,1),(229,1),(230,1),(231,1),(278,1),(283,1),(305,1)}
       198:{2,4,7}:{(161,1),(162,1),(166,1),(231,1)}
       199:{1,3,4,7}:{(162,1),(163,1),(167,1),(172,1),(231,1),(232,1),(284,1)}
       200:{2,5}:{(164,1),(173,1),(226,1)}
       201:{2,4,6}:{(165,1),(174,1),(212,1),(227,1),(230,1),(233,1),(234,1)}
       202:{3,6}:{(166,1),(213,1),(231,1)}
       203:{2,4,6}:{(167,1),(175,1),(214,1),(232,1),(235,1),(236,1),(285,1)}
       204:{1,3,6,7}:{(168,1),(169,1),(172,1),(215,1),(237,1),(304,1)}
       205:{1,3,5,7}:{(170,1),(173,1),(229,1),(238,1),(239,1),(283,1)}
       206:{1,4,7}:{(171,1),(174,1),(230,1)}
       207:{2,5,7}:{(172,1),(175,1),(232,1),(237,1),(240,1)}
       208:{1,4,5}:{(173,1),(174,1),(233,1),(308,1)}
       209:{1,5,6}:{(175,1),(219,1),(236,1),(240,1),(271,1),(308,1),(314,1)}
       210:{1,3,5}:{(176,1),(177,1),(178,1),(241,1)}
       211:{1,2,4,5}:{(177,1),(179,1),(195,1),(241,1),(242,1),(245,1),(255,1),(286,1),(289,1),(290,1),(295,1)}
       212:{2,4}:{(178,1),(184,1),(241,1),(243,1)}
       213:{3,5}:{(179,1),(202,1),(243,1)}
       214:{2,4,5}:{(180,1),(186,1),(203,1),(244,1),(245,1),(248,1),(286,1),(289,1),(295,1)}
       215:{1,3,6}:{(181,1),(182,1),(183,1),(246,1)}
       216:{2,5,7}:{(183,1),(186,1),(188,1),(246,1),(247,1)}
       217:{1,3,4}:{(184,1),(185,1),(243,1),(248,1)}
       218:{2,3,5}:{(185,1),(186,1),(189,1),(248,1),(249,1),(289,1),(310,1)}
       219:{1,5}:{(186,1),(190,1)}
       220:{2,3,7}:{(187,1),(188,1),(189,1),(250,1),(299,1)}
       221:{1,4,7}:{(188,1),(190,1),(247,1),(250,1)}
       222:{1,3,6}:{(189,1),(190,1),(249,1),(250,1),(251,1)}
       223:{1,4,6,7}:{(191,1),(193,1),(196,1),(252,1),(253,1),(291,1)}
       224:{1,3,5,7}:{(191,1),(192,1),(194,1),(197,1),(252,1),(253,1),(254,1)}
       225:{1,2,4,7}:{(192,1),(195,1),(198,1),(253,1),(254,1),(262,1),(293,1),(299,1)}
       226:{1,5}:{(193,1),(200,1)}
       227:{1,4,6}:{(194,1),(201,1),(241,1),(253,1),(255,1)}
       228:{1,3,6}:{(195,1),(202,1),(242,1),(254,1),(257,1)}
       229:{2,5,7}:{(196,1),(200,1),(205,1),(252,1),(258,1)}
       230:{2,4,7}:{(197,1),(201,1),(206,1),(253,1),(260,1)}
       231:{3,7}:{(198,1),(202,1)}
       232:{2,4,7}:{(199,1),(203,1),(207,1),(261,1),(262,1),(299,1)}
       233:{2,4,5}:{(200,1),(201,1),(208,1),(255,1),(263,1),(295,1)}
       234:{3,4,6}:{(201,1),(202,1),(243,1),(260,1),(263,1),(298,1)}
       235:{2,3,6}:{(202,1),(203,1),(244,1),(261,1),(264,1)}
       236:{1,4,6}:{(203,1),(209,1),(245,1),(262,1),(264,1)}
       237:{2,6,7}:{(204,1),(207,1),(246,1),(265,1),(311,1)}
       238:{1,3,5,6}:{(205,1),(258,1),(266,1),(298,1)}
       239:{1,4,5,7}:{(205,1),(206,1),(208,1),(259,1),(266,1),(312,1)}
       240:{1,5,7}:{(207,1),(209,1),(262,1),(265,1)}
       241:{1,4}:{(210,1),(212,1)}
       242:{1,3,5}:{(211,1),(213,1),(228,1),(267,1),(268,1),(303,1)}
       243:{3,4}:{(212,1),(213,1)}
       244:{2,3,5}:{(213,1),(214,1),(235,1),(269,1),(270,1)}
       245:{1,4,5}:{(214,1),(219,1),(236,1),(270,1),(272,1),(300,1),(308,1)}
       246:{2,6}:{(215,1),(216,1),(271,1)}
       247:{1,5,7}:{(216,1),(219,1),(221,1),(271,1)}
       248:{2,4}:{(217,1),(218,1),(272,1)}
       249:{1,3,5}:{(218,1),(219,1),(222,1),(272,1),(273,1),(303,1)}
       250:{1,3,7}:{(220,1),(221,1),(222,1),(274,1)}
       251:{1,2,6}:{(222,1),(273,1),(274,1),(285,1)}
       252:{1,5,7}:{(223,1),(226,1),(229,1),(275,1)}
       253:{1,4,7}:{(224,1),(227,1),(230,1)}
       254:{1,3,7}:{(225,1),(228,1),(231,1),(278,1)}
       255:{1,4,5}:{(226,1),(227,1),(233,1),(279,1)}
       256:{1,3,4,6}:{(227,1),(228,1),(234,1),(267,1),(277,1),(279,1),(280,1),(304,1)}
       257:{2,3,6}:{(228,1),(268,1),(278,1),(280,1),(281,1),(285,1)}
       258:{2,5,6}:{(229,1),(238,1),(275,1),(282,1)}
       259:{2,4,5,7}:{(229,1),(230,1),(233,1),(239,1),(276,1),(282,1),(283,1),(305,1)}
       260:{3,4,7}:{(230,1),(231,1),(234,1),(283,1)}
       261:{2,3,7}:{(231,1),(232,1),(235,1),(284,1)}
       262:{1,4,7}:{(232,1),(236,1),(240,1),(284,1)}
       263:{3,5}:{(233,1),(234,1)}
       264:{1,3,6}:{(235,1),(236,1),(270,1),(284,1),(285,1)}
       265:{1,6,7}:{(237,1),(240,1),(271,1),(314,1)}
       266:{1,4,6}:{(238,1),(239,1),(282,1),(314,1)}
       267:{1,3,4}:{(241,1),(242,1),(243,1),(286,1)}
       268:{2,3,5}:{(242,1),(257,1),(286,1),(287,1),(289,1),(295,1),(310,1)}
       269:{2,3,4}:{(243,1),(244,1),(248,1),(286,1),(288,1),(310,1)}
       270:{1,3,5}:{(244,1),(245,1),(264,1),(288,1),(289,1)}
       271:{1,6}:{(246,1),(247,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{1,2,5}:{(249,1),(251,1),(289,1),(290,1)}
       274:{1,2,7}:{(250,1),(251,1),(299,1)}
       275:{1,5,6}:{(252,1),(258,1),(291,1)}
       276:{1,4,5,7}:{(252,1),(253,1),(255,1),(259,1),(291,1),(292,1)}
       277:{1,3,4,7}:{(253,1),(254,1),(256,1),(260,1),(292,1),(293,1)}
       278:{2,3,7}:{(254,1),(257,1),(293,1),(294,1),(299,1)}
       279:{1,3,5}:{(255,1),(256,1),(263,1),(295,1)}
       280:{2,4,6}:{(256,1),(257,1),(286,1),(293,1),(295,1),(296,1),(311,1)}
       281:{1,3,6}:{(257,1),(287,1),(294,1),(296,1),(297,1)}
       282:{2,4,6}:{(258,1),(259,1),(266,1),(291,1),(298,1),(311,1)}
       283:{3,5,7}:{(259,1),(260,1),(263,1),(298,1)}
       284:{1,3,7}:{(261,1),(262,1),(264,1),(299,1)}
       285:{2,6}:{(264,1),(289,1),(299,1)}
       286:{2,4}:{(267,1),(268,1),(300,1)}
       287:{1,3,5}:{(268,1),(281,1),(300,1),(301,1),(308,1),(313,1)}
       288:{1,3,4}:{(269,1),(270,1),(272,1),(300,1),(302,1),(303,1),(313,1)}
       289:{2,5}:{(270,1),(285,1),(302,1)}
       290:{1,2,4}:{(272,1),(273,1),(302,1),(303,1)}
       291:{1,4,6}:{(275,1),(276,1),(282,1),(304,1)}
       292:{1,3,5,7}:{(276,1),(277,1),(279,1),(283,1),(304,1),(305,1)}
       293:{2,4,7}:{(277,1),(278,1),(280,1),(305,1),(306,1)}
       294:{1,3,7}:{(278,1),(281,1),(306,1),(307,1)}
       295:{2,5}:{(279,1),(280,1),(308,1)}
       296:{1,4,6}:{(280,1),(281,1),(300,1),(306,1),(308,1),(314,1)}
       297:{1,2,6}:{(281,1),(285,1),(301,1),(307,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{2,7}:{(284,1),(285,1)}
       300:{1,4}:{(286,1),(287,1)}
       301:{1,2,5}:{(287,1),(289,1),(297,1),(309,1)}
       302:{2,4}:{(288,1),(289,1),(310,1)}
       303:{1,3}:{(290,1),(310,1)}
       304:{1,3,6}:{(291,1),(292,1),(298,1),(311,1)}
       305:{2,5,7}:{(292,1),(293,1),(295,1),(311,1),(312,1)}
       306:{1,4,7}:{(293,1),(294,1),(296,1),(312,1)}
       307:{1,2,7}:{(294,1),(297,1),(299,1)}
       308:{1,5}:{(295,1),(296,1)}
       309:{1,2,4}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1),(314,1)}
       312:{1,5,7}:{(305,1),(306,1),(308,1),(314,1)}
       313:{1,3}:{(309,1),(310,1)}
       314:{1,6}:{(311,1),(312,1)}

 974 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(17,1),(18,1),(108,1),(168,1),(225,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(17,1),(24,1),(47,1),(49,1),(60,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(32,1),(141,1),(250,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(137,1),(184,1),(197,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(29,1),(38,1),(73,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(39,1),(72,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(14,1),(15,1),(51,1),(60,1),(110,1),(168,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(15,1),(16,1),(17,1),(111,1),(152,1)}
         8:{1,2,5,6}:{(3,1),(16,1),(18,1),(22,1),(99,1),(116,1),(176,1),(213,1),(216,1)}
         9:{1,2,4,5,7}:{(3,1),(17,1),(18,1),(19,1),(23,1),(48,1),(50,1),(64,1),(99,1),(111,1),(115,1),(156,1),(216,1),(218,1),(225,1),(265,1)}
        10:{1,4,6,7}:{(4,1),(14,1),(21,1),(45,1),(57,1),(100,1)}
        11:{2,5,7}:{(4,1),(5,1),(21,1),(22,1),(99,1)}
        12:{1,3,5,6}:{(5,1),(22,1),(24,1),(60,1)}
        13:{1,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(48,1),(111,1)}
        14:{1,3,6,7}:{(6,1),(10,1),(26,1),(27,1),(75,1),(83,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(11,1),(27,1),(28,1),(29,1),(39,1),(84,1),(121,1),(197,1),(250,1)}
        16:{1,3,5,6}:{(7,1),(8,1),(28,1),(30,1),(32,1),(72,1),(141,1),(183,1),(186,1),(243,1)}
        17:{1,4,7}:{(7,1),(29,1),(30,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(38,1),(73,1),(89,1),(141,1),(145,1),(206,1)}
        19:{1,3,5,7}:{(9,1),(31,1),(32,1),(33,1),(39,1),(72,1),(188,1),(243,1),(244,1),(250,1)}
        20:{1,3,5,6,7}:{(12,1),(34,1),(35,1),(79,1),(80,1),(254,1)}
        21:{1,5,7}:{(10,1),(11,1),(36,1),(129,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,4,5,7}:{(11,1),(13,1),(29,1),(37,1),(38,1),(39,1),(69,1),(84,1)}
        24:{1,4,6}:{(12,1),(13,1),(38,1),(141,1)}
        25:{1,3,4,5,7}:{(13,1),(31,1),(39,1),(41,1),(42,1),(72,1),(80,1),(87,1),(125,1),(134,1),(149,1),(189,1),(196,1),(210,1),(244,1),(250,1),(253,1),(290,1)}
        26:{1,2,6,7}:{(14,1),(43,1),(102,1),(110,1),(165,1),(168,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(21,1),(43,1),(44,1),(45,1),(92,1)}
        28:{2,3,5,6}:{(15,1),(16,1),(22,1),(44,1),(46,1),(51,1),(60,1),(96,1),(99,1),(110,1),(151,1),(154,1),(176,1),(219,1),(234,1)}
        29:{2,4,7}:{(15,1),(17,1),(45,1),(46,1),(47,1)}
        30:{1,4,6}:{(16,1),(17,1),(46,1),(48,1),(265,1)}
        31:{1,3,4,7}:{(17,1),(19,1),(47,1),(49,1),(50,1),(265,1),(266,1)}
        32:{1,3,6}:{(18,1),(19,1),(51,1),(60,1),(234,1)}
        33:{2,3,5,7}:{(19,1),(50,1),(51,1),(52,1),(99,1),(115,1),(160,1),(219,1)}
        34:{2,5,6,7}:{(20,1),(22,1),(53,1),(54,1),(107,1),(273,1)}
        35:{1,4,6,7}:{(20,1),(24,1),(54,1),(55,1),(165,1),(274,1)}
        36:{1,5,6}:{(21,1),(22,1),(57,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(45,1),(57,1),(58,1),(93,1)}
        38:{2,4,6}:{(22,1),(23,1),(24,1),(57,1),(60,1),(110,1)}
        39:{3,5,7}:{(23,1),(47,1),(60,1),(96,1)}
        40:{1,4,5,6}:{(24,1),(48,1),(55,1),(59,1),(62,1),(172,1),(175,1),(237,1),(274,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(60,1),(62,1),(63,1),(112,1),(114,1),(175,1),(234,1),(274,1),(303,1)}
        42:{2,4,5,7}:{(25,1),(50,1),(61,1),(63,1),(64,1),(99,1),(107,1),(115,1),(157,1),(166,1),(178,1),(218,1),(225,1),(236,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(65,1),(66,1),(84,1),(194,1),(197,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(36,1),(65,1),(67,1),(75,1),(83,1),(120,1),(122,1),(129,1),(192,1)}
        45:{1,4,7}:{(27,1),(29,1),(67,1)}
        46:{2,4,6}:{(28,1),(29,1),(30,1),(67,1),(69,1),(70,1),(245,1)}
        47:{3,4,7}:{(29,1),(39,1),(70,1),(250,1)}
        48:{1,4,5}:{(30,1),(69,1),(72,1),(186,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(32,1),(70,1),(72,1),(73,1)}
        50:{2,4,7}:{(31,1),(33,1),(73,1),(74,1),(245,1)}
        51:{2,3,6}:{(32,1),(33,1),(73,1),(75,1),(145,1)}
        52:{1,3,5,7}:{(33,1),(74,1),(75,1),(76,1),(129,1),(131,1),(192,1)}
        53:{1,5,6,7}:{(34,1),(36,1),(77,1),(137,1),(289,1)}
        54:{2,4,6,7}:{(34,1),(35,1),(38,1),(77,1),(78,1),(79,1),(133,1),(291,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(78,1),(80,1),(194,1),(196,1)}
        56:{1,3,4,6,7}:{(35,1),(41,1),(79,1),(80,1),(81,1),(134,1),(136,1),(196,1),(250,1)}
        57:{1,4,6}:{(36,1),(37,1),(38,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(39,1),(68,1),(83,1),(84,1),(122,1)}
        59:{2,4,5,6}:{(38,1),(40,1),(69,1),(78,1),(82,1),(85,1),(88,1),(140,1),(143,1),(206,1),(260,1),(291,1)}
        60:{3,6}:{(38,1),(39,1)}
        61:{2,3,5,7}:{(39,1),(42,1),(71,1),(84,1),(86,1),(87,1),(126,1),(244,1),(250,1),(290,1),(309,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(72,1),(80,1),(85,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(86,1),(88,1),(89,1),(145,1)}
        64:{1,4,5,7}:{(42,1),(74,1),(87,1),(89,1),(129,1),(137,1),(189,1),(196,1),(205,1),(258,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(91,1),(102,1),(110,1),(154,1),(161,1),(172,1),(176,1)}
        66:{1,2,4,7}:{(43,1),(45,1),(91,1),(92,1),(95,1),(222,1),(225,1),(267,1)}
        67:{1,4,6}:{(44,1),(45,1),(46,1),(93,1),(220,1)}
        68:{1,3,4,7}:{(45,1),(47,1),(58,1),(92,1),(94,1),(95,1)}
        69:{2,4,5}:{(46,1),(48,1),(93,1),(96,1),(99,1),(154,1)}
        70:{3,4,6}:{(46,1),(47,1),(60,1),(96,1),(234,1),(266,1)}
        71:{2,3,4,7}:{(47,1),(50,1),(61,1),(95,1),(97,1),(98,1),(160,1),(166,1),(178,1),(221,1),(266,1),(271,1),(300,1)}
        72:{1,3,5}:{(48,1),(49,1),(96,1),(99,1)}
        73:{2,4,6}:{(49,1),(50,1),(51,1),(99,1),(100,1)}
        74:{1,4,7}:{(50,1),(52,1),(100,1),(220,1)}
        75:{1,3,6}:{(51,1),(52,1),(100,1),(102,1)}
        76:{1,2,5,7}:{(52,1),(101,1),(102,1),(115,1),(161,1),(312,1)}
        77:{1,4,6,7}:{(53,1),(54,1),(57,1),(103,1),(104,1),(302,1)}
        78:{2,4,5,7}:{(54,1),(55,1),(59,1),(103,1),(105,1),(107,1),(164,1),(166,1),(225,1)}
        79:{3,6,7}:{(54,1),(60,1),(105,1),(303,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(62,1),(105,1),(107,1)}
        81:{2,4,6,7}:{(56,1),(63,1),(106,1),(107,1),(108,1),(166,1),(168,1),(225,1)}
        82:{1,4,5,6}:{(57,1),(59,1),(93,1),(103,1),(109,1),(116,1),(175,1),(278,1),(302,1)}
        83:{1,3,6}:{(57,1),(58,1),(60,1),(110,1)}
        84:{2,5,7}:{(58,1),(95,1),(110,1),(111,1),(154,1)}
        85:{3,5,6}:{(59,1),(60,1),(96,1),(105,1),(112,1),(234,1),(279,1),(303,1)}
        86:{2,3,6}:{(60,1),(61,1),(63,1),(110,1),(114,1),(234,1),(303,1),(313,1)}
        87:{1,3,5,7}:{(61,1),(64,1),(98,1),(111,1),(114,1),(115,1),(158,1),(312,1)}
        88:{2,5,6}:{(62,1),(63,1),(99,1),(107,1),(116,1),(236,1)}
        89:{1,4,6}:{(63,1),(64,1),(114,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(101,1),(115,1),(117,1),(118,1),(161,1),(169,1),(178,1),(218,1),(220,1),(225,1),(228,1),(236,1),(237,1),(272,1),(312,1)}
        91:{1,2,4,6}:{(65,1),(66,1),(67,1),(119,1),(120,1),(123,1),(202,1),(206,1),(255,1)}
        92:{1,3,7}:{(66,1),(120,1),(121,1),(250,1)}
        93:{1,4,5}:{(67,1),(69,1),(122,1),(129,1)}
        94:{1,3,4,6}:{(67,1),(68,1),(70,1),(83,1),(120,1),(122,1),(123,1),(181,1)}
        95:{2,4,7}:{(68,1),(84,1),(121,1),(123,1),(124,1)}
        96:{3,5}:{(69,1),(70,1)}
        97:{2,3,4,6}:{(70,1),(71,1),(73,1),(86,1),(123,1),(126,1),(127,1),(143,1),(191,1),(201,1),(208,1),(238,1),(245,1),(259,1),(293,1)}
        98:{1,3,4,7}:{(71,1),(74,1),(87,1),(124,1),(127,1),(128,1),(131,1),(188,1),(196,1),(205,1),(246,1),(250,1),(308,1)}
        99:{2,5}:{(72,1),(73,1),(129,1)}
       100:{1,4,6}:{(73,1),(74,1),(75,1),(129,1)}
       101:{1,2,4,7}:{(74,1),(76,1),(128,1),(130,1),(131,1),(285,1),(308,1)}
       102:{1,2,6}:{(75,1),(76,1),(145,1),(314,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(82,1),(132,1),(137,1),(196,1)}
       104:{1,3,6,7}:{(77,1),(79,1),(83,1),(132,1),(133,1),(310,1)}
       105:{3,5,7}:{(78,1),(79,1),(85,1),(134,1),(250,1)}
       106:{2,3,6,7}:{(79,1),(81,1),(86,1),(133,1),(135,1),(136,1),(250,1)}
       107:{2,5,7}:{(80,1),(81,1),(88,1),(137,1)}
       108:{1,4,6,7}:{(81,1),(89,1),(136,1),(137,1),(196,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(85,1),(122,1),(132,1),(139,1),(140,1),(294,1),(310,1)}
       110:{2,6}:{(83,1),(84,1),(141,1)}
       111:{1,5,7}:{(84,1),(124,1),(141,1),(186,1)}
       112:{3,4,6}:{(85,1),(125,1),(134,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(126,1),(135,1),(140,1),(143,1),(144,1),(201,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(141,1),(145,1),(314,1)}
       115:{2,5,7}:{(87,1),(128,1),(145,1),(190,1)}
       116:{1,5,6}:{(88,1),(89,1),(129,1),(137,1),(258,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(206,1),(208,1),(209,1),(291,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(131,1),(146,1),(148,1),(149,1),(192,1),(210,1),(244,1),(250,1),(290,1)}
       119:{1,2,4,5}:{(91,1),(93,1),(150,1),(154,1),(161,1),(211,1),(215,1),(218,1),(220,1),(263,1),(295,1)}
       120:{1,3,6}:{(91,1),(92,1),(150,1),(151,1),(234,1)}
       121:{2,3,7}:{(92,1),(95,1),(151,1),(152,1),(267,1)}
       122:{1,3,5}:{(93,1),(94,1),(96,1),(154,1)}
       123:{2,4,6}:{(94,1),(95,1),(110,1),(151,1),(154,1),(155,1),(211,1)}
       124:{1,4,7}:{(95,1),(111,1),(152,1),(155,1)}
       125:{3,4,5}:{(96,1),(112,1),(157,1),(266,1),(279,1)}
       126:{2,3,5}:{(96,1),(97,1),(99,1),(154,1),(157,1),(158,1),(236,1),(279,1),(305,1)}
       127:{1,3,4,6}:{(97,1),(98,1),(100,1),(114,1),(155,1),(158,1),(159,1),(162,1),(175,1),(217,1),(220,1),(230,1),(233,1),(234,1),(261,1),(265,1),(266,1),(304,1)}
       128:{2,4,7}:{(98,1),(115,1),(159,1),(160,1),(267,1)}
       129:{1,5}:{(99,1),(100,1)}
       130:{1,2,4,6}:{(100,1),(101,1),(102,1),(159,1),(161,1),(162,1),(220,1),(275,1),(295,1),(304,1)}
       131:{1,3,7}:{(101,1),(160,1),(162,1)}
       132:{1,3,5,7}:{(103,1),(104,1),(105,1),(109,1),(163,1),(164,1)}
       133:{2,6,7}:{(104,1),(110,1),(164,1),(165,1),(313,1)}
       134:{3,4,7}:{(105,1),(112,1),(166,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(107,1),(113,1),(164,1),(166,1),(167,1),(221,1)}
       136:{1,3,6,7}:{(106,1),(108,1),(114,1),(165,1),(167,1),(168,1)}
       137:{1,5,7}:{(107,1),(108,1),(116,1)}
       138:{1,2,4,6,7}:{(108,1),(117,1),(168,1),(169,1),(170,1),(225,1),(227,1),(228,1)}
       139:{1,3,4,6}:{(109,1),(112,1),(153,1),(163,1),(171,1),(175,1),(230,1),(234,1)}
       140:{2,5,6}:{(109,1),(110,1),(154,1),(164,1),(171,1),(172,1),(305,1),(313,1)}
       141:{1,6}:{(110,1),(111,1)}
       142:{1,2,5,7}:{(111,1),(115,1),(156,1),(173,1),(174,1),(216,1)}
       143:{2,4,6}:{(112,1),(113,1),(157,1),(166,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(158,1),(167,1),(172,1),(175,1),(176,1),(230,1),(234,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,3,5,7}:{(115,1),(118,1),(160,1),(174,1),(177,1),(178,1),(219,1),(236,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(161,1),(169,1),(176,1),(179,1),(236,1),(273,1),(275,1)}
       148:{1,3,6}:{(117,1),(118,1),(177,1),(234,1),(303,1)}
       149:{1,3,4,7}:{(118,1),(178,1),(180,1),(220,1),(228,1),(266,1),(271,1)}
       150:{1,3,5}:{(119,1),(120,1),(181,1),(182,1),(244,1),(306,1)}
       151:{2,3,6}:{(120,1),(121,1),(123,1),(182,1),(183,1),(255,1)}
       152:{1,3,7}:{(121,1),(124,1),(183,1),(184,1)}
       153:{1,3,4,5}:{(122,1),(125,1),(139,1),(181,1),(185,1),(189,1),(241,1),(244,1),(284,1),(294,1)}
       154:{2,5}:{(122,1),(123,1),(186,1)}
       155:{1,4,6}:{(123,1),(124,1),(141,1),(183,1),(186,1),(239,1)}
       156:{1,2,4,7}:{(124,1),(128,1),(142,1),(184,1),(187,1),(188,1),(205,1)}
       157:{2,4,5}:{(125,1),(126,1),(143,1),(189,1),(245,1)}
       158:{1,3,5}:{(126,1),(127,1),(129,1),(186,1),(189,1),(190,1),(244,1),(258,1),(311,1)}
       159:{2,4,6}:{(127,1),(128,1),(145,1),(190,1),(191,1),(245,1),(255,1),(280,1)}
       160:{2,3,7}:{(128,1),(131,1),(188,1),(191,1),(250,1)}
       161:{1,2,5}:{(129,1),(130,1),(190,1),(192,1),(311,1)}
       162:{1,3,6}:{(130,1),(131,1),(191,1),(192,1),(306,1)}
       163:{1,3,4,7}:{(132,1),(134,1),(139,1),(193,1),(196,1),(246,1),(250,1)}
       164:{2,5,7}:{(132,1),(133,1),(140,1),(193,1),(194,1)}
       165:{1,6,7}:{(133,1),(141,1),(194,1),(314,1)}
       166:{2,4,7}:{(134,1),(135,1),(143,1),(196,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(144,1),(194,1),(196,1),(197,1),(246,1),(250,1)}
       168:{2,6,7}:{(136,1),(145,1),(197,1)}
       169:{1,2,5,7}:{(137,1),(138,1),(147,1),(197,1),(199,1),(252,1),(285,1)}
       170:{1,3,6,7}:{(138,1),(148,1),(198,1),(199,1),(250,1),(314,1)}
       171:{2,4,6}:{(139,1),(140,1),(185,1),(193,1),(201,1),(202,1),(255,1)}
       172:{1,5,6}:{(140,1),(141,1),(186,1),(194,1),(202,1),(311,1),(314,1)}
       173:{1,2,6}:{(141,1),(142,1),(145,1),(204,1)}
       174:{1,3,5,7}:{(142,1),(146,1),(188,1),(204,1),(205,1),(243,1),(258,1)}
       175:{1,4,6}:{(143,1),(144,1),(189,1),(196,1),(206,1)}
       176:{2,5,6}:{(144,1),(145,1),(190,1),(197,1),(206,1),(255,1)}
       177:{2,3,6}:{(145,1),(146,1),(148,1),(204,1),(208,1)}
       178:{2,4,7}:{(146,1),(149,1),(205,1),(208,1),(245,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(192,1),(199,1),(207,1),(209,1),(210,1),(292,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(208,1),(209,1),(210,1),(259,1)}
       181:{1,3,4}:{(150,1),(211,1),(220,1),(266,1)}
       182:{2,3,5}:{(150,1),(151,1),(154,1),(211,1),(212,1),(263,1),(296,1)}
       183:{1,3,6}:{(151,1),(152,1),(155,1),(212,1),(213,1)}
       184:{1,2,7}:{(152,1),(213,1),(267,1)}
       185:{2,4,5}:{(153,1),(154,1),(171,1),(211,1),(214,1),(215,1),(263,1),(298,1),(305,1)}
       186:{1,5}:{(154,1),(155,1)}
       187:{1,2,4,6}:{(155,1),(156,1),(159,1),(173,1),(213,1),(216,1),(217,1),(233,1),(262,1),(265,1)}
       188:{1,3,7}:{(156,1),(160,1),(217,1)}
       189:{1,4,5}:{(157,1),(158,1),(175,1),(218,1),(220,1),(265,1)}
       190:{2,5}:{(158,1),(159,1)}
       191:{2,3,6}:{(159,1),(160,1),(162,1),(217,1),(219,1),(234,1),(296,1)}
       192:{1,3,5}:{(161,1),(162,1),(219,1),(220,1)}
       193:{2,4,7}:{(163,1),(164,1),(171,1),(221,1),(222,1),(267,1)}
       194:{1,5,7}:{(164,1),(165,1),(172,1),(222,1)}
       195:{1,2,6,7}:{(165,1),(168,1),(173,1),(223,1),(224,1),(313,1)}
       196:{1,4,7}:{(166,1),(167,1),(175,1),(225,1)}
       197:{2,5,7}:{(167,1),(168,1),(176,1),(225,1),(267,1)}
       198:{2,3,6,7}:{(168,1),(170,1),(177,1),(224,1),(226,1),(227,1),(303,1),(313,1)}
       199:{1,3,5,7}:{(169,1),(170,1),(179,1),(226,1),(228,1),(299,1),(312,1)}
       200:{1,3,4,6,7}:{(170,1),(180,1),(227,1),(228,1),(229,1),(271,1),(274,1),(303,1)}
       201:{2,3,6}:{(171,1),(214,1),(221,1),(230,1),(234,1)}
       202:{1,4,6}:{(171,1),(172,1),(215,1),(222,1),(230,1)}
       203:{1,2,5,6}:{(172,1),(173,1),(176,1),(216,1),(223,1),(231,1),(232,1),(305,1),(313,1)}
       204:{1,3,6}:{(173,1),(174,1),(177,1),(233,1)}
       205:{1,4,7}:{(174,1),(178,1),(233,1),(265,1)}
       206:{2,4,6}:{(175,1),(176,1),(218,1),(225,1),(234,1)}
       207:{2,3,5,6}:{(176,1),(177,1),(179,1),(219,1),(226,1),(232,1),(234,1),(235,1),(236,1),(273,1),(276,1),(279,1),(303,1),(305,1),(313,1)}
       208:{2,4,6}:{(177,1),(178,1),(180,1),(233,1),(236,1)}
       209:{1,4,6}:{(179,1),(220,1),(228,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(236,1),(237,1),(279,1)}
       211:{2,4}:{(181,1),(182,1),(239,1)}
       212:{1,3,5}:{(182,1),(183,1),(186,1),(239,1),(240,1),(281,1)}
       213:{1,2,6}:{(183,1),(184,1),(240,1),(255,1)}
       214:{2,3,5}:{(185,1),(201,1),(238,1),(241,1),(244,1)}
       215:{1,4,5}:{(185,1),(186,1),(202,1),(239,1),(241,1),(307,1),(311,1)}
       216:{1,2,5}:{(186,1),(187,1),(190,1),(243,1),(258,1)}
       217:{1,3,6}:{(187,1),(188,1),(191,1),(243,1),(281,1)}
       218:{2,4,5}:{(189,1),(190,1),(206,1),(244,1),(245,1)}
       219:{2,3,5}:{(190,1),(191,1),(192,1),(243,1),(244,1),(245,1)}
       220:{1,4}:{(192,1),(245,1)}
       221:{2,3,7}:{(193,1),(201,1),(246,1),(250,1)}
       222:{1,4,7}:{(193,1),(194,1),(202,1),(246,1)}
       223:{1,2,5,7}:{(194,1),(195,1),(197,1),(203,1),(247,1),(248,1),(309,1)}
       224:{1,3,6,7}:{(195,1),(198,1),(204,1),(248,1),(249,1),(310,1)}
       225:{2,4,7}:{(196,1),(197,1),(206,1),(250,1)}
       226:{2,3,5,7}:{(197,1),(198,1),(199,1),(207,1),(248,1),(250,1),(251,1),(252,1),(286,1),(290,1),(309,1)}
       227:{2,4,6,7}:{(198,1),(200,1),(208,1),(249,1),(251,1),(252,1),(291,1)}
       228:{1,4,7}:{(199,1),(209,1),(251,1)}
       229:{1,3,5,7}:{(200,1),(210,1),(252,1),(253,1),(254,1),(290,1)}
       230:{1,3,6}:{(201,1),(202,1),(241,1),(246,1),(255,1)}
       231:{1,2,4,6}:{(202,1),(203,1),(206,1),(242,1),(247,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,3,5,6}:{(203,1),(204,1),(207,1),(243,1),(248,1),(256,1),(257,1),(258,1),(289,1),(294,1),(310,1)}
       233:{1,4,6}:{(204,1),(205,1),(208,1),(258,1)}
       234:{3,6}:{(206,1),(244,1),(250,1)}
       235:{2,4,6}:{(207,1),(209,1),(245,1),(251,1),(257,1),(259,1),(260,1)}
       236:{2,5}:{(208,1),(210,1),(258,1)}
       237:{1,4,5}:{(209,1),(210,1),(260,1),(311,1)}
       238:{2,3,4}:{(211,1),(214,1),(261,1),(266,1),(296,1),(298,1)}
       239:{1,4}:{(211,1),(212,1)}
       240:{1,2,5}:{(212,1),(213,1),(262,1),(263,1)}
       241:{1,3,5}:{(214,1),(215,1),(230,1),(261,1),(263,1)}
       242:{1,2,4,5}:{(215,1),(216,1),(218,1),(231,1),(262,1),(263,1),(264,1),(265,1),(278,1),(298,1),(305,1)}
       243:{1,3,5}:{(216,1),(217,1),(219,1),(265,1)}
       244:{3,5}:{(218,1),(234,1),(266,1)}
       245:{2,4}:{(219,1),(220,1),(265,1),(266,1)}
       246:{1,3,7}:{(221,1),(222,1),(230,1),(267,1)}
       247:{1,2,4,7}:{(222,1),(223,1),(225,1),(231,1),(267,1),(268,1),(269,1),(300,1)}
       248:{1,3,5,7}:{(223,1),(224,1),(226,1),(232,1),(268,1),(269,1),(270,1)}
       249:{1,4,6,7}:{(224,1),(227,1),(233,1),(269,1),(270,1),(302,1)}
       250:{3,7}:{(225,1),(234,1)}
       251:{2,4,7}:{(226,1),(228,1),(235,1),(269,1),(271,1)}
       252:{2,5,7}:{(227,1),(229,1),(236,1),(270,1),(273,1)}
       253:{1,4,5,7}:{(228,1),(229,1),(237,1),(272,1),(274,1),(312,1)}
       254:{1,3,5,6}:{(229,1),(273,1),(274,1),(303,1)}
       255:{2,6}:{(230,1),(263,1),(267,1)}
       256:{1,3,6}:{(231,1),(234,1),(264,1),(268,1),(276,1)}
       257:{1,4,6}:{(232,1),(235,1),(265,1),(269,1),(278,1)}
       258:{1,5}:{(233,1),(236,1)}
       259:{3,4,6}:{(234,1),(235,1),(266,1),(271,1),(279,1),(303,1)}
       260:{2,4,5}:{(235,1),(236,1),(237,1),(278,1),(279,1),(305,1)}
       261:{1,3,4}:{(238,1),(239,1),(241,1),(280,1),(281,1),(306,1),(307,1)}
       262:{1,2,4}:{(239,1),(240,1),(280,1),(281,1)}
       263:{2,5}:{(241,1),(255,1),(280,1)}
       264:{1,3,5}:{(242,1),(244,1),(256,1),(281,1),(283,1),(284,1)}
       265:{1,4}:{(243,1),(245,1)}
       266:{3,4}:{(244,1),(245,1)}
       267:{2,7}:{(246,1),(255,1)}
       268:{1,3,7}:{(247,1),(250,1),(256,1),(286,1)}
       269:{1,4,7}:{(248,1),(251,1),(257,1)}
       270:{1,5,7}:{(249,1),(252,1),(258,1),(289,1)}
       271:{3,4,7}:{(250,1),(251,1),(259,1),(290,1)}
       272:{2,4,5,7}:{(251,1),(252,1),(253,1),(260,1),(288,1),(290,1),(291,1),(309,1)}
       273:{2,5,6}:{(252,1),(254,1),(289,1),(291,1)}
       274:{1,4,6}:{(253,1),(254,1),(291,1),(314,1)}
       275:{1,2,6}:{(255,1),(282,1),(285,1),(292,1)}
       276:{2,3,6}:{(255,1),(256,1),(283,1),(286,1),(292,1),(293,1)}
       277:{1,3,4,6}:{(256,1),(257,1),(259,1),(284,1),(287,1),(293,1),(294,1),(310,1)}
       278:{1,4,5}:{(257,1),(258,1),(260,1),(294,1)}
       279:{3,5}:{(259,1),(260,1)}
       280:{2,4}:{(261,1),(263,1),(296,1)}
       281:{1,3}:{(262,1),(296,1)}
       282:{1,2,5}:{(263,1),(275,1),(295,1),(297,1)}
       283:{2,3,5}:{(263,1),(264,1),(276,1),(296,1),(297,1),(298,1),(305,1)}
       284:{1,3,4}:{(264,1),(265,1),(266,1),(298,1)}
       285:{1,2,7}:{(267,1),(275,1),(299,1)}
       286:{2,3,7}:{(267,1),(268,1),(276,1),(299,1),(300,1)}
       287:{1,3,4,7}:{(268,1),(269,1),(271,1),(277,1),(300,1),(301,1)}
       288:{1,4,5,7}:{(269,1),(270,1),(272,1),(278,1),(301,1),(302,1)}
       289:{1,5,6}:{(270,1),(273,1),(302,1)}
       290:{3,5,7}:{(271,1),(272,1),(279,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(274,1),(302,1),(303,1),(313,1)}
       292:{1,3,6}:{(275,1),(276,1),(297,1),(299,1),(304,1)}
       293:{2,4,6}:{(276,1),(277,1),(298,1),(300,1),(304,1),(305,1),(313,1)}
       294:{1,3,5}:{(277,1),(278,1),(279,1),(305,1)}
       295:{1,2,4}:{(280,1),(282,1),(306,1),(307,1)}
       296:{2,3}:{(280,1),(281,1),(306,1)}
       297:{1,3,5}:{(282,1),(283,1),(292,1),(306,1),(307,1),(311,1)}
       298:{2,4}:{(283,1),(284,1),(307,1)}
       299:{1,3,7}:{(285,1),(286,1),(292,1),(308,1)}
       300:{2,4,7}:{(286,1),(287,1),(293,1),(308,1),(309,1)}
       301:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,6}:{(292,1),(293,1),(307,1),(308,1),(311,1),(314,1)}
       305:{2,5}:{(293,1),(294,1),(311,1)}
       306:{1,3}:{(295,1),(296,1)}
       307:{1,4}:{(297,1),(298,1)}
       308:{1,4,7}:{(299,1),(300,1),(304,1),(312,1)}
       309:{2,5,7}:{(300,1),(301,1),(305,1),(312,1),(313,1)}
       310:{1,3,6}:{(301,1),(302,1),(303,1),(313,1)}
       311:{1,5}:{(304,1),(305,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 975 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

 976 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

 977 :   0:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(19,1),(25,1),(58,1),(71,1),(73,1),(79,1),(118,1),(150,1),(197,1),(210,1),(212,1),(257,1),(277,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(7,1),(26,1),(32,1),(37,1),(42,1),(83,1),(111,1),(165,1),(174,1),(175,1),(178,1),(180,1),(191,1),(235,1),(241,1),(243,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(42,1),(158,1),(191,1),(229,1),(241,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(34,1),(40,1),(48,1),(93,1),(177,1),(190,1),(294,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(15,1),(49,1),(55,1),(58,1),(68,1),(121,1),(123,1),(129,1),(146,1),(201,1),(210,1),(212,1),(219,1),(299,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(16,1),(19,1),(49,1),(58,1),(64,1),(71,1),(121,1),(133,1),(138,1),(210,1),(212,1)}
         6:{1,3,4,6}:{(1,1),(16,1),(18,1),(59,1),(137,1),(139,1),(152,1),(203,1),(213,1),(224,1),(262,1)}
         7:{1,3,4,7}:{(2,1),(19,1),(20,1),(79,1),(157,1),(257,1),(267,1)}
         8:{2,3,5,7}:{(2,1),(19,1),(21,1),(22,1),(58,1),(71,1),(130,1),(209,1)}
         9:{1,3,6}:{(2,1),(3,1),(22,1),(213,1),(224,1)}
        10:{1,2,4,6,7}:{(3,1),(23,1),(25,1),(62,1),(70,1),(79,1),(134,1),(212,1)}
        11:{1,2,5,6}:{(3,1),(24,1),(25,1),(63,1),(71,1),(135,1),(149,1),(197,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(26,1),(27,1),(28,1),(83,1),(104,1),(185,1),(235,1),(241,1),(243,1)}
        13:{1,2,4,6}:{(4,1),(28,1),(30,1),(34,1),(81,1),(89,1),(93,1),(177,1),(234,1),(308,1)}
        14:{2,3,5,7}:{(5,1),(31,1),(32,1),(33,1),(92,1),(191,1),(235,1),(241,1),(243,1),(252,1),(283,1)}
        15:{1,4,5,7}:{(5,1),(32,1),(34,1),(39,1),(80,1),(98,1),(107,1),(161,1),(174,1),(178,1)}
        16:{2,4,6}:{(5,1),(6,1),(33,1),(34,1),(36,1),(93,1)}
        17:{1,3,4,6,7}:{(6,1),(35,1),(37,1),(94,1),(103,1),(178,1),(180,1),(184,1),(243,1)}
        18:{1,3,5,6}:{(6,1),(36,1),(37,1),(38,1),(42,1),(83,1),(102,1)}
        19:{2,4,7}:{(7,1),(8,1),(39,1),(40,1),(240,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(40,1),(42,1),(48,1),(117,1)}
        21:{1,3,5,7}:{(8,1),(39,1),(43,1),(44,1),(104,1),(107,1),(185,1)}
        22:{2,3,6}:{(8,1),(9,1),(40,1),(44,1),(93,1)}
        23:{1,3,6,7}:{(9,1),(10,1),(45,1),(47,1),(243,1),(294,1)}
        24:{1,3,5,6}:{(9,1),(11,1),(42,1),(46,1),(47,1),(48,1),(229,1),(253,1),(255,1),(294,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(47,1),(98,1),(108,1),(176,1),(295,1)}
        26:{1,3,4,7}:{(12,1),(49,1),(50,1),(129,1),(208,1),(219,1),(267,1)}
        27:{2,3,5,7}:{(12,1),(49,1),(51,1),(52,1),(58,1),(121,1),(130,1),(209,1)}
        28:{1,3,6}:{(12,1),(13,1),(52,1),(213,1),(262,1)}
        29:{1,2,4,6,7}:{(13,1),(53,1),(55,1),(62,1),(120,1),(129,1),(134,1),(212,1)}
        30:{1,2,5,6}:{(13,1),(54,1),(55,1),(63,1),(121,1),(135,1),(146,1),(200,1),(301,1)}
        31:{2,3,4,7}:{(14,1),(19,1),(49,1),(56,1),(57,1),(130,1),(138,1),(157,1),(208,1),(227,1),(265,1),(267,1),(270,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(58,1),(59,1),(132,1),(277,1),(299,1)}
        33:{2,3,6}:{(14,1),(16,1),(59,1),(213,1),(224,1),(262,1),(276,1),(298,1)}
        34:{1,4,6}:{(15,1),(16,1),(59,1),(63,1)}
        35:{2,4,6,7}:{(16,1),(17,1),(60,1),(62,1),(64,1),(134,1),(138,1),(212,1)}
        36:{2,5,6}:{(16,1),(18,1),(63,1),(64,1),(71,1),(121,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(64,1),(67,1),(144,1)}
        38:{1,4,5,6}:{(18,1),(65,1),(67,1),(73,1),(123,1),(137,1),(152,1),(203,1),(218,1)}
        39:{1,4,7}:{(19,1),(21,1),(69,1),(219,1)}
        40:{2,4,6}:{(19,1),(20,1),(22,1),(69,1),(71,1)}
        41:{1,3,4,6,7}:{(20,1),(23,1),(70,1),(72,1),(79,1),(152,1),(157,1),(224,1)}
        42:{1,3,5}:{(20,1),(71,1),(73,1),(151,1)}
        43:{1,2,5,7}:{(21,1),(58,1),(68,1),(74,1),(146,1),(299,1)}
        44:{1,3,6}:{(21,1),(22,1),(69,1),(74,1)}
        45:{2,3,6,7}:{(22,1),(23,1),(70,1),(75,1),(77,1),(134,1),(224,1),(276,1)}
        46:{2,3,5,6}:{(22,1),(24,1),(71,1),(76,1),(77,1),(78,1),(135,1),(149,1),(151,1),(209,1),(213,1),(223,1),(224,1),(226,1),(276,1)}
        47:{1,3,5,7}:{(23,1),(24,1),(25,1),(77,1),(79,1),(277,1),(278,1)}
        48:{1,4,6}:{(24,1),(73,1),(78,1),(79,1),(257,1)}
        49:{2,4,7}:{(26,1),(27,1),(80,1),(81,1),(240,1)}
        50:{1,3,4,6}:{(26,1),(28,1),(81,1),(83,1),(89,1),(171,1)}
        51:{1,3,5,7}:{(27,1),(80,1),(84,1),(85,1),(158,1),(161,1),(229,1)}
        52:{2,3,6}:{(27,1),(28,1),(81,1),(85,1),(93,1)}
        53:{1,3,6,7}:{(28,1),(29,1),(86,1),(88,1),(243,1),(308,1)}
        54:{1,3,5,6}:{(28,1),(30,1),(83,1),(87,1),(88,1),(89,1),(185,1),(284,1),(286,1),(308,1)}
        55:{1,2,5,7}:{(29,1),(30,1),(88,1),(98,1),(162,1),(176,1),(309,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(39,1),(80,1),(90,1),(91,1),(104,1),(158,1),(178,1),(243,1),(256,1),(287,1),(290,1)}
        57:{2,3,4,6}:{(31,1),(33,1),(40,1),(81,1),(91,1),(92,1),(97,1),(117,1),(171,1),(172,1),(195,1),(239,1),(240,1),(244,1),(288,1)}
        58:{2,5,7}:{(32,1),(90,1),(93,1),(173,1)}
        59:{1,3,6}:{(32,1),(33,1),(34,1),(93,1),(294,1),(308,1)}
        60:{2,3,6,7}:{(33,1),(35,1),(94,1),(96,1),(184,1),(243,1),(247,1)}
        61:{2,3,5,6}:{(33,1),(36,1),(92,1),(95,1),(96,1),(97,1),(102,1),(183,1),(244,1)}
        62:{1,4,6,7}:{(34,1),(35,1),(94,1),(98,1),(178,1)}
        63:{1,5,6}:{(34,1),(36,1),(98,1),(107,1),(161,1)}
        64:{2,5,7}:{(35,1),(36,1),(37,1),(98,1)}
        65:{2,4,5,6}:{(36,1),(38,1),(97,1),(99,1),(101,1),(102,1),(109,1),(163,1),(177,1),(183,1),(190,1),(234,1)}
        66:{1,3,5,6,7}:{(37,1),(100,1),(103,1),(110,1),(164,1),(184,1)}
        67:{1,4,5,7}:{(37,1),(38,1),(101,1),(103,1),(178,1),(248,1)}
        68:{1,2,4,7}:{(39,1),(43,1),(90,1),(104,1),(105,1),(287,1),(309,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(107,1)}
        70:{2,4,6,7}:{(40,1),(41,1),(45,1),(106,1),(108,1),(116,1),(190,1)}
        71:{2,5}:{(40,1),(42,1),(107,1)}
        72:{1,3,5,7}:{(41,1),(42,1),(108,1),(110,1),(111,1),(191,1)}
        73:{1,4,5}:{(42,1),(48,1),(109,1),(253,1)}
        74:{1,2,6}:{(43,1),(44,1),(93,1),(308,1)}
        75:{1,3,6,7}:{(44,1),(45,1),(106,1),(112,1),(114,1),(251,1)}
        76:{1,3,5,6}:{(44,1),(46,1),(107,1),(113,1),(114,1),(115,1),(185,1),(187,1),(189,1),(193,1),(251,1)}
        77:{2,3,5,7}:{(45,1),(46,1),(47,1),(108,1),(114,1),(116,1),(176,1),(191,1),(243,1),(252,1),(254,1)}
        78:{2,4,6}:{(46,1),(48,1),(109,1),(115,1),(116,1),(117,1),(240,1)}
        79:{1,4,7}:{(47,1),(48,1),(116,1)}
        80:{1,4,7}:{(49,1),(51,1),(119,1),(257,1)}
        81:{2,4,6}:{(49,1),(50,1),(52,1),(119,1),(121,1)}
        82:{1,3,4,6,7}:{(50,1),(53,1),(120,1),(122,1),(129,1),(203,1),(208,1),(262,1)}
        83:{1,3,5}:{(50,1),(121,1),(123,1),(202,1)}
        84:{1,2,5,7}:{(51,1),(58,1),(118,1),(124,1),(197,1),(277,1)}
        85:{1,3,6}:{(51,1),(52,1),(119,1),(124,1)}
        86:{2,3,6,7}:{(52,1),(53,1),(120,1),(125,1),(127,1),(134,1),(262,1),(298,1)}
        87:{2,3,5,6}:{(52,1),(54,1),(121,1),(126,1),(127,1),(128,1),(135,1),(200,1),(202,1),(209,1),(213,1),(261,1),(262,1),(264,1),(298,1)}
        88:{1,3,5,7}:{(53,1),(54,1),(55,1),(127,1),(129,1),(299,1),(300,1)}
        89:{1,4,6}:{(54,1),(123,1),(128,1),(129,1),(219,1)}
        90:{2,4,7}:{(56,1),(58,1),(130,1),(131,1),(304,1)}
        91:{1,3,4,6}:{(56,1),(57,1),(59,1),(69,1),(119,1),(131,1),(132,1),(137,1),(145,1),(196,1),(213,1),(219,1),(228,1),(257,1),(266,1),(267,1),(271,1),(302,1)}
        92:{2,3,5}:{(57,1),(71,1),(121,1),(132,1),(133,1),(151,1),(202,1),(223,1),(261,1)}
        93:{2,6}:{(58,1),(59,1)}
        94:{1,3,6,7}:{(59,1),(60,1),(62,1),(134,1),(136,1),(273,1)}
        95:{1,3,5,6}:{(59,1),(61,1),(63,1),(132,1),(135,1),(136,1),(137,1),(213,1),(218,1),(271,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(64,1),(136,1),(138,1),(144,1),(217,1),(270,1)}
        97:{2,4,6}:{(61,1),(133,1),(137,1),(138,1),(139,1)}
        98:{1,5,7}:{(62,1),(63,1),(64,1)}
        99:{1,4,5,6}:{(63,1),(65,1),(137,1),(141,1),(142,1),(148,1),(199,1),(221,1),(259,1)}
       100:{2,5,6,7}:{(64,1),(66,1),(140,1),(143,1),(149,1),(200,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(67,1),(138,1),(141,1),(143,1),(144,1),(212,1),(217,1)}
       102:{3,5,6}:{(65,1),(139,1),(144,1),(151,1),(202,1),(213,1),(224,1),(262,1)}
       103:{1,4,6,7}:{(66,1),(67,1),(143,1),(152,1),(203,1),(273,1)}
       104:{1,3,7}:{(68,1),(130,1),(145,1)}
       105:{1,2,4,6}:{(68,1),(69,1),(74,1),(131,1),(145,1),(146,1),(219,1),(266,1),(301,1),(312,1)}
       106:{1,4,6,7}:{(69,1),(70,1),(75,1),(147,1),(155,1),(221,1)}
       107:{1,5}:{(69,1),(71,1)}
       108:{2,5,7}:{(70,1),(71,1),(72,1),(147,1),(149,1)}
       109:{2,4,5}:{(71,1),(73,1),(78,1),(148,1),(151,1),(223,1)}
       110:{1,3,5,6}:{(72,1),(149,1),(152,1),(224,1)}
       111:{1,4,5,7}:{(72,1),(73,1),(79,1),(150,1),(152,1),(277,1)}
       112:{1,2,6,7}:{(74,1),(75,1),(134,1),(153,1),(273,1),(276,1)}
       113:{1,2,5,6}:{(74,1),(76,1),(135,1),(146,1),(153,1),(154,1),(218,1),(223,1),(276,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(77,1),(147,1),(153,1),(155,1),(225,1)}
       115:{1,4,6}:{(76,1),(78,1),(148,1),(155,1),(219,1)}
       116:{2,4,7}:{(77,1),(78,1),(79,1),(155,1),(157,1)}
       117:{3,4,6}:{(78,1),(151,1),(157,1),(213,1),(224,1),(267,1)}
       118:{1,2,4,7}:{(80,1),(84,1),(90,1),(158,1),(159,1),(256,1),(295,1)}
       119:{1,4,6}:{(80,1),(81,1),(85,1),(161,1)}
       120:{2,4,6,7}:{(81,1),(82,1),(86,1),(160,1),(162,1),(170,1),(234,1)}
       121:{2,5}:{(81,1),(83,1),(161,1)}
       122:{1,3,5,7}:{(82,1),(83,1),(162,1),(164,1),(165,1),(235,1)}
       123:{1,4,5}:{(83,1),(89,1),(163,1),(284,1)}
       124:{1,2,6}:{(84,1),(85,1),(93,1),(294,1)}
       125:{1,3,6,7}:{(85,1),(86,1),(160,1),(166,1),(168,1),(282,1)}
       126:{1,3,5,6}:{(85,1),(87,1),(161,1),(167,1),(168,1),(169,1),(229,1),(231,1),(233,1),(237,1),(282,1)}
       127:{2,3,5,7}:{(86,1),(87,1),(88,1),(162,1),(168,1),(170,1),(176,1),(235,1),(243,1),(283,1),(285,1)}
       128:{2,4,6}:{(87,1),(89,1),(163,1),(169,1),(170,1),(171,1),(240,1)}
       129:{1,4,7}:{(88,1),(89,1),(170,1)}
       130:{2,3,7}:{(90,1),(104,1),(158,1),(172,1),(243,1)}
       131:{2,4,6}:{(90,1),(91,1),(93,1),(172,1),(173,1),(240,1),(291,1),(310,1)}
       132:{1,3,5}:{(91,1),(92,1),(107,1),(161,1),(173,1),(174,1),(241,1),(253,1),(284,1)}
       133:{2,4,5}:{(92,1),(97,1),(174,1),(175,1),(240,1)}
       134:{2,6,7}:{(93,1),(94,1),(176,1)}
       135:{2,5,6}:{(93,1),(95,1),(173,1),(176,1),(177,1),(291,1)}
       136:{1,3,5,7}:{(94,1),(95,1),(96,1),(98,1),(176,1),(178,1),(243,1),(248,1),(290,1)}
       137:{1,4,6}:{(95,1),(97,1),(174,1),(177,1),(178,1)}
       138:{2,4,7}:{(96,1),(97,1),(178,1),(180,1)}
       139:{3,4,6}:{(97,1),(102,1),(175,1),(180,1)}
       140:{1,5,6,7}:{(98,1),(100,1),(181,1),(187,1),(231,1)}
       141:{1,4,5,7}:{(98,1),(99,1),(101,1),(178,1),(181,1),(182,1)}
       142:{1,3,5,6}:{(99,1),(102,1),(179,1),(182,1),(183,1),(189,1),(233,1),(251,1),(282,1)}
       143:{2,4,6,7}:{(100,1),(101,1),(103,1),(181,1),(184,1),(190,1),(234,1),(247,1)}
       144:{3,5,7}:{(101,1),(102,1),(180,1),(184,1),(243,1)}
       145:{1,3,6}:{(104,1),(105,1),(172,1),(185,1),(314,1)}
       146:{1,2,5}:{(105,1),(107,1),(173,1),(185,1),(284,1)}
       147:{1,5,7}:{(106,1),(107,1),(108,1),(187,1)}
       148:{1,4,5}:{(107,1),(109,1),(115,1),(189,1)}
       149:{2,5,6}:{(108,1),(110,1),(187,1),(190,1)}
       150:{2,4,5,7}:{(108,1),(109,1),(111,1),(116,1),(188,1),(190,1),(191,1),(252,1)}
       151:{3,5}:{(109,1),(117,1)}
       152:{1,4,6}:{(110,1),(111,1),(190,1),(294,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(114,1),(176,1),(192,1),(248,1),(252,1)}
       154:{1,2,4,6}:{(113,1),(115,1),(177,1),(186,1),(192,1),(193,1),(195,1),(246,1),(291,1)}
       155:{1,4,7}:{(114,1),(115,1),(116,1)}
       156:{1,3,4,6}:{(115,1),(117,1),(189,1),(193,1),(194,1),(195,1),(249,1),(251,1)}
       157:{3,4,7}:{(116,1),(117,1),(191,1),(243,1)}
       158:{1,3,7}:{(118,1),(130,1),(196,1)}
       159:{1,2,4,6}:{(118,1),(119,1),(124,1),(131,1),(196,1),(197,1),(228,1),(257,1),(279,1),(305,1)}
       160:{1,4,6,7}:{(119,1),(120,1),(125,1),(198,1),(206,1),(259,1)}
       161:{1,5}:{(119,1),(121,1)}
       162:{2,5,7}:{(120,1),(121,1),(122,1),(198,1),(200,1)}
       163:{2,4,5}:{(121,1),(123,1),(128,1),(199,1),(202,1),(261,1)}
       164:{1,3,5,6}:{(122,1),(200,1),(203,1),(262,1)}
       165:{1,4,5,7}:{(122,1),(123,1),(129,1),(201,1),(203,1),(299,1)}
       166:{1,2,6,7}:{(124,1),(125,1),(134,1),(204,1),(273,1),(298,1)}
       167:{1,2,5,6}:{(124,1),(126,1),(135,1),(197,1),(204,1),(205,1),(218,1),(261,1),(298,1)}
       168:{1,3,5,7}:{(125,1),(126,1),(127,1),(198,1),(204,1),(206,1),(263,1)}
       169:{1,4,6}:{(126,1),(128,1),(199,1),(206,1),(257,1)}
       170:{2,4,7}:{(127,1),(128,1),(129,1),(206,1),(208,1)}
       171:{3,4,6}:{(128,1),(202,1),(208,1),(213,1),(262,1),(267,1)}
       172:{2,3,6}:{(130,1),(131,1),(145,1),(196,1),(209,1),(213,1),(313,1)}
       173:{2,5}:{(131,1),(132,1)}
       174:{1,4,5}:{(132,1),(133,1),(137,1),(210,1),(219,1),(257,1)}
       175:{3,4,5}:{(133,1),(139,1),(151,1),(202,1),(267,1)}
       176:{2,5,7}:{(134,1),(135,1),(136,1),(212,1),(304,1)}
       177:{2,4,6}:{(135,1),(137,1),(210,1),(212,1),(213,1)}
       178:{1,4,7}:{(136,1),(137,1),(138,1),(212,1)}
       179:{1,3,4,6}:{(137,1),(139,1),(142,1),(211,1),(213,1),(214,1),(215,1),(271,1)}
       180:{3,4,7}:{(138,1),(139,1),(144,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(143,1),(216,1),(221,1),(259,1)}
       182:{1,3,5,7}:{(141,1),(142,1),(144,1),(214,1),(216,1),(217,1)}
       183:{2,5,6}:{(142,1),(215,1),(217,1),(218,1),(223,1),(261,1),(276,1),(298,1)}
       184:{3,6,7}:{(143,1),(144,1),(224,1),(262,1)}
       185:{1,3,5}:{(145,1),(146,1),(209,1),(219,1)}
       186:{1,2,4,5}:{(146,1),(148,1),(154,1),(210,1),(219,1),(220,1),(223,1),(269,1),(274,1),(303,1),(312,1)}
       187:{1,5,6}:{(147,1),(149,1),(221,1)}
       188:{1,4,5,7}:{(147,1),(148,1),(150,1),(155,1),(221,1),(222,1)}
       189:{1,3,5}:{(148,1),(151,1),(156,1),(223,1)}
       190:{2,4,6}:{(149,1),(150,1),(152,1),(221,1),(224,1),(276,1)}
       191:{3,5,7}:{(150,1),(151,1),(157,1),(224,1)}
       192:{1,2,4,7}:{(153,1),(154,1),(155,1),(212,1),(225,1),(227,1),(272,1),(304,1)}
       193:{1,3,6}:{(154,1),(213,1),(220,1),(225,1),(226,1)}
       194:{1,3,4,7}:{(155,1),(156,1),(157,1),(222,1),(225,1),(227,1)}
       195:{2,4,6}:{(156,1),(223,1),(226,1),(227,1),(228,1),(274,1),(276,1)}
       196:{1,3,6}:{(158,1),(159,1),(172,1),(229,1),(311,1)}
       197:{1,2,5}:{(159,1),(161,1),(173,1),(229,1),(253,1)}
       198:{1,5,7}:{(160,1),(161,1),(162,1),(231,1)}
       199:{1,4,5}:{(161,1),(163,1),(169,1),(233,1)}
       200:{2,5,6}:{(162,1),(164,1),(231,1),(234,1)}
       201:{2,4,5,7}:{(162,1),(163,1),(165,1),(170,1),(232,1),(234,1),(235,1),(283,1)}
       202:{3,5}:{(163,1),(171,1)}
       203:{1,4,6}:{(164,1),(165,1),(234,1),(308,1)}
       204:{1,2,5,7}:{(166,1),(167,1),(168,1),(176,1),(236,1),(248,1),(283,1)}
       205:{1,2,4,6}:{(167,1),(169,1),(177,1),(230,1),(236,1),(237,1),(239,1),(246,1),(291,1)}
       206:{1,4,7}:{(168,1),(169,1),(170,1)}
       207:{1,3,4,6}:{(169,1),(171,1),(233,1),(237,1),(238,1),(239,1),(280,1),(282,1)}
       208:{3,4,7}:{(170,1),(171,1),(235,1),(243,1)}
       209:{2,3,5}:{(172,1),(173,1),(185,1),(229,1),(240,1),(241,1)}
       210:{2,4,5}:{(173,1),(174,1),(177,1),(240,1),(241,1)}
       211:{1,3,4,5}:{(174,1),(175,1),(179,1),(189,1),(233,1),(241,1),(242,1),(249,1),(280,1),(289,1)}
       212:{2,4,7}:{(176,1),(177,1),(178,1),(243,1)}
       213:{3,6}:{(177,1),(241,1),(243,1)}
       214:{1,3,4,7}:{(178,1),(179,1),(180,1),(182,1),(243,1),(245,1),(290,1)}
       215:{2,4,6}:{(179,1),(183,1),(242,1),(244,1),(245,1),(246,1),(291,1)}
       216:{1,3,6,7}:{(181,1),(182,1),(184,1),(247,1),(251,1),(282,1)}
       217:{2,5,7}:{(182,1),(183,1),(245,1),(247,1),(248,1)}
       218:{1,5,6}:{(183,1),(246,1),(248,1),(253,1),(284,1),(294,1),(308,1)}
       219:{1,4}:{(185,1),(240,1)}
       220:{1,3,5}:{(186,1),(193,1),(241,1),(249,1),(250,1),(314,1)}
       221:{1,4,6}:{(187,1),(188,1),(190,1),(251,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(191,1),(194,1),(251,1),(252,1)}
       223:{2,5}:{(189,1),(195,1),(253,1)}
       224:{3,6}:{(190,1),(191,1)}
       225:{1,3,7}:{(192,1),(193,1),(243,1),(254,1)}
       226:{2,3,6}:{(193,1),(195,1),(250,1),(254,1),(255,1),(291,1)}
       227:{2,4,7}:{(194,1),(195,1),(252,1),(254,1),(256,1)}
       228:{1,4,6}:{(195,1),(253,1),(255,1),(256,1),(292,1),(294,1)}
       229:{1,3,5}:{(196,1),(197,1),(209,1),(257,1)}
       230:{1,2,4,5}:{(197,1),(199,1),(205,1),(210,1),(257,1),(258,1),(261,1),(269,1),(296,1),(303,1),(305,1)}
       231:{1,5,6}:{(198,1),(200,1),(259,1)}
       232:{1,4,5,7}:{(198,1),(199,1),(201,1),(206,1),(259,1),(260,1)}
       233:{1,3,5}:{(199,1),(202,1),(207,1),(261,1)}
       234:{2,4,6}:{(200,1),(201,1),(203,1),(259,1),(262,1),(298,1)}
       235:{3,5,7}:{(201,1),(202,1),(208,1),(262,1)}
       236:{1,2,4,7}:{(204,1),(205,1),(206,1),(212,1),(263,1),(265,1),(272,1),(304,1)}
       237:{1,3,6}:{(205,1),(213,1),(258,1),(263,1),(264,1)}
       238:{1,3,4,7}:{(206,1),(207,1),(208,1),(260,1),(263,1),(265,1)}
       239:{2,4,6}:{(207,1),(261,1),(264,1),(265,1),(266,1),(296,1),(298,1)}
       240:{2,4}:{(209,1),(219,1),(257,1),(267,1)}
       241:{3,5}:{(210,1),(213,1),(267,1)}
       242:{2,4,5}:{(211,1),(215,1),(223,1),(261,1),(268,1),(269,1),(274,1),(296,1),(303,1)}
       243:{3,7}:{(212,1),(213,1)}
       244:{2,3,6}:{(213,1),(215,1),(268,1),(270,1),(271,1)}
       245:{2,4,7}:{(214,1),(215,1),(217,1),(270,1),(272,1),(304,1)}
       246:{1,4,6}:{(215,1),(218,1),(269,1),(271,1),(272,1)}
       247:{2,6,7}:{(216,1),(217,1),(273,1),(276,1),(298,1)}
       248:{1,5,7}:{(217,1),(218,1),(272,1),(273,1)}
       249:{1,3,4}:{(219,1),(220,1),(267,1),(274,1)}
       250:{2,3,5}:{(220,1),(223,1),(226,1),(274,1),(275,1),(303,1),(313,1)}
       251:{1,3,6}:{(221,1),(222,1),(224,1),(276,1)}
       252:{2,5,7}:{(222,1),(223,1),(227,1),(276,1),(277,1)}
       253:{1,5}:{(223,1),(228,1)}
       254:{2,3,7}:{(225,1),(226,1),(227,1),(278,1),(304,1)}
       255:{1,3,6}:{(226,1),(228,1),(275,1),(278,1),(279,1)}
       256:{1,4,7}:{(227,1),(228,1),(277,1),(278,1)}
       257:{1,4}:{(229,1),(240,1)}
       258:{1,3,5}:{(230,1),(237,1),(241,1),(280,1),(281,1),(311,1)}
       259:{1,4,6}:{(231,1),(232,1),(234,1),(282,1)}
       260:{1,3,5,7}:{(232,1),(233,1),(235,1),(238,1),(282,1),(283,1)}
       261:{2,5}:{(233,1),(239,1),(284,1)}
       262:{3,6}:{(234,1),(235,1)}
       263:{1,3,7}:{(236,1),(237,1),(243,1),(285,1)}
       264:{2,3,6}:{(237,1),(239,1),(281,1),(285,1),(286,1),(291,1)}
       265:{2,4,7}:{(238,1),(239,1),(283,1),(285,1),(287,1)}
       266:{1,4,6}:{(239,1),(284,1),(286,1),(287,1),(306,1),(308,1)}
       267:{3,4}:{(240,1),(241,1)}
       268:{2,3,5}:{(241,1),(242,1),(244,1),(288,1),(289,1)}
       269:{1,4,5}:{(242,1),(246,1),(253,1),(284,1),(289,1),(292,1),(306,1)}
       270:{2,3,7}:{(243,1),(244,1),(245,1),(290,1)}
       271:{1,3,6}:{(244,1),(246,1),(289,1),(290,1),(291,1)}
       272:{1,4,7}:{(245,1),(246,1),(248,1),(290,1)}
       273:{1,6,7}:{(247,1),(248,1),(294,1),(308,1)}
       274:{2,4}:{(249,1),(250,1),(292,1)}
       275:{1,3,5}:{(250,1),(253,1),(255,1),(292,1),(293,1),(311,1)}
       276:{2,6}:{(251,1),(252,1),(294,1)}
       277:{1,5,7}:{(252,1),(253,1),(256,1),(294,1)}
       278:{1,3,7}:{(254,1),(255,1),(256,1),(295,1)}
       279:{1,2,6}:{(255,1),(291,1),(293,1),(295,1)}
       280:{1,3,4}:{(257,1),(258,1),(267,1),(296,1)}
       281:{2,3,5}:{(258,1),(261,1),(264,1),(296,1),(297,1),(303,1),(313,1)}
       282:{1,3,6}:{(259,1),(260,1),(262,1),(298,1)}
       283:{2,5,7}:{(260,1),(261,1),(265,1),(298,1),(299,1)}
       284:{1,5}:{(261,1),(266,1)}
       285:{2,3,7}:{(263,1),(264,1),(265,1),(300,1),(304,1)}
       286:{1,3,6}:{(264,1),(266,1),(297,1),(300,1),(301,1)}
       287:{1,4,7}:{(265,1),(266,1),(299,1),(300,1)}
       288:{2,3,4}:{(267,1),(268,1),(274,1),(296,1),(302,1),(313,1)}
       289:{1,3,5}:{(268,1),(269,1),(271,1),(302,1),(303,1)}
       290:{1,3,7}:{(270,1),(271,1),(272,1),(304,1)}
       291:{2,6}:{(271,1),(303,1),(304,1)}
       292:{1,4}:{(274,1),(275,1)}
       293:{1,2,5}:{(275,1),(279,1),(303,1),(305,1)}
       294:{1,6}:{(276,1),(277,1)}
       295:{1,2,7}:{(278,1),(279,1),(304,1)}
       296:{2,4}:{(280,1),(281,1),(306,1)}
       297:{1,3,5}:{(281,1),(284,1),(286,1),(306,1),(307,1),(314,1)}
       298:{2,6}:{(282,1),(283,1),(308,1)}
       299:{1,5,7}:{(283,1),(284,1),(287,1),(308,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{1,2,6}:{(286,1),(291,1),(307,1),(309,1)}
       302:{1,3,4}:{(288,1),(289,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       303:{2,5}:{(289,1),(291,1),(310,1)}
       304:{2,7}:{(290,1),(291,1)}
       305:{1,2,4}:{(292,1),(293,1),(310,1),(311,1)}
       306:{1,4}:{(296,1),(297,1)}
       307:{1,2,5}:{(297,1),(301,1),(303,1),(312,1)}
       308:{1,6}:{(298,1),(299,1)}
       309:{1,2,7}:{(300,1),(301,1),(304,1)}
       310:{2,4}:{(302,1),(303,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

 978 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(24,1),(31,1),(32,1),(194,1),(204,1),(221,1),(325,1),(327,1),(417,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(273,1),(376,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(41,1),(242,1),(256,1),(360,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(417,1),(419,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(204,1),(222,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(61,1),(406,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(65,1),(294,1),(309,1),(325,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(38,1),(83,1),(103,1),(104,1),(151,1),(159,1),(277,1),(280,1),(376,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(46,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(38,1),(50,1),(160,1),(177,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(256,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(90,1),(373,1),(387,1),(388,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(31,1),(204,1),(331,1)}
        14:{1,2,4,5,7}:{(7,1),(25,1),(26,1),(61,1),(117,1),(126,1),(127,1),(196,1),(205,1),(310,1),(314,1),(406,1)}
        15:{1,3,4,5}:{(8,1),(23,1),(27,1),(419,1),(422,1)}
        16:{2,3,5}:{(8,1),(10,1),(27,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(71,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(60,1),(75,1),(123,1),(138,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(61,1),(207,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(309,1),(323,1),(326,1),(339,1),(340,1),(406,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(126,1),(417,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(376,1),(379,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(38,1),(40,1),(41,1),(50,1),(103,1),(151,1),(160,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(42,1),(256,1),(365,1)}
        26:{1,2,4,6,7}:{(14,1),(18,1),(42,1),(43,1),(90,1),(96,1),(156,1),(245,1),(349,1)}
        27:{2,4,5}:{(15,1),(16,1),(38,1),(45,1)}
        28:{1,3,4,5,7}:{(15,1),(17,1),(39,1),(46,1),(47,1),(56,1),(91,1),(113,1)}
        29:{1,3,5}:{(16,1),(19,1),(45,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(103,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(89,1),(165,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(90,1),(109,1),(174,1),(260,1),(272,1),(278,1),(288,1),(290,1),(364,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(371,1),(375,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(72,1),(114,1),(199,1),(228,1),(229,1),(331,1),(398,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(60,1),(61,1)}
        39:{1,3,4,7}:{(23,1),(25,1),(61,1),(406,1),(410,1)}
        40:{1,3,5,6}:{(24,1),(29,1),(60,1),(63,1),(64,1),(75,1),(123,1),(141,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(126,1),(196,1),(207,1)}
        42:{1,3,6,7}:{(25,1),(26,1),(31,1),(65,1),(396,1)}
        43:{1,2,5,6,7}:{(26,1),(32,1),(66,1),(126,1),(202,1),(298,1),(310,1),(416,1)}
        44:{2,3,4,5}:{(27,1),(59,1),(67,1),(134,1),(295,1),(422,1)}
        45:{1,4,5}:{(27,1),(29,1),(60,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(30,1),(61,1),(70,1),(71,1),(126,1)}
        47:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(77,1),(147,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(70,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(71,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(336,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(123,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(125,1),(146,1),(213,1),(230,1),(236,1),(238,1),(318,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(126,1),(216,1),(320,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(406,1),(419,1)}
        57:{2,4,5,6}:{(37,1),(38,1),(82,1),(83,1),(84,1),(103,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(39,1),(84,1),(85,1),(91,1),(152,1),(249,1),(262,1),(263,1),(352,1),(365,1)}
        59:{2,3,4,6}:{(38,1),(44,1),(82,1),(86,1),(87,1),(160,1),(243,1),(379,1)}
        60:{1,4,6}:{(38,1),(40,1),(45,1),(89,1)}
        61:{2,4,7}:{(38,1),(39,1),(41,1),(89,1)}
        62:{1,3,4,6,7}:{(39,1),(42,1),(47,1),(90,1),(91,1),(96,1),(174,1)}
        63:{1,2,5,6}:{(40,1),(48,1),(88,1),(93,1),(107,1),(151,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(89,1),(93,1),(94,1),(165,1),(167,1)}
        65:{2,3,6,7}:{(41,1),(42,1),(50,1),(90,1),(94,1),(245,1)}
        66:{1,3,5,6,7}:{(42,1),(43,1),(51,1),(91,1),(95,1),(96,1),(360,1),(371,1),(372,1)}
        67:{1,3,4,5}:{(44,1),(45,1),(86,1),(97,1),(100,1),(175,1),(342,1)}
        68:{2,3,4,5,7}:{(44,1),(46,1),(87,1),(98,1),(99,1),(113,1),(163,1),(178,1),(193,1),(346,1),(364,1),(378,1),(449,1),(450,1),(459,1),(504,1)}
        69:{1,2,4,5}:{(45,1),(48,1),(88,1),(97,1),(100,1),(105,1)}
        70:{1,4,5,7}:{(45,1),(46,1),(49,1),(89,1),(102,1),(167,1)}
        71:{2,4,6}:{(46,1),(47,1),(50,1),(102,1),(103,1)}
        72:{1,3,5,6}:{(47,1),(91,1),(103,1),(104,1),(186,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(100,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(102,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(103,1),(108,1),(109,1),(186,1),(285,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(165,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(272,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(167,1),(282,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(364,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(331,1)}
        83:{1,4,5,6}:{(57,1),(60,1),(114,1),(117,1),(141,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(61,1),(115,1),(117,1),(118,1),(126,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(67,1),(114,1),(120,1),(121,1),(123,1),(204,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(61,1),(115,1),(121,1),(207,1),(296,1),(410,1)}
        88:{1,2,4,6}:{(60,1),(63,1),(69,1),(120,1),(123,1),(124,1)}
        89:{1,4,7}:{(60,1),(61,1),(64,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(65,1),(71,1),(125,1),(126,1)}
        91:{1,3,5,7}:{(62,1),(72,1),(126,1),(127,1),(216,1)}
        92:{1,2,3,5,6}:{(63,1),(73,1),(123,1),(128,1),(129,1),(144,1),(195,1),(211,1),(231,1),(234,1),(316,1),(321,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(124,1),(130,1),(196,1)}
        94:{1,3,6,7}:{(64,1),(65,1),(75,1),(125,1),(130,1)}
        95:{2,3,5,6,7}:{(65,1),(66,1),(76,1),(126,1),(131,1),(132,1),(216,1),(298,1),(313,1),(320,1),(322,1),(396,1)}
        96:{1,4,6,7}:{(66,1),(77,1),(127,1),(132,1),(406,1)}
        97:{2,4,5}:{(67,1),(120,1),(134,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(135,1),(136,1),(139,1),(209,1),(223,1),(240,1),(318,1),(333,1),(389,1),(406,1),(410,1),(419,1),(422,1),(481,1),(489,1),(525,1)}
        99:{2,3,4,6}:{(68,1),(71,1),(136,1),(137,1),(147,1),(226,1),(237,1),(330,1),(393,1),(480,1),(524,1)}
       100:{1,3,5}:{(69,1),(123,1),(134,1),(138,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(74,1),(124,1),(135,1),(139,1),(140,1),(143,1),(214,1),(234,1),(318,1),(333,1),(525,1),(526,1),(530,1),(547,1)}
       102:{1,4,6}:{(70,1),(71,1),(75,1),(141,1)}
       103:{2,5,6}:{(71,1),(72,1),(126,1),(141,1)}
       104:{1,4,5,6}:{(72,1),(77,1),(127,1),(142,1),(336,1)}
       105:{1,2,4}:{(73,1),(138,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(139,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(141,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(213,1),(236,1),(322,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(320,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(318,1),(333,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(216,1),(410,1),(422,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(365,1)}
       116:{1,2,4,5,6}:{(83,1),(88,1),(151,1),(154,1),(155,1),(169,1),(184,1),(243,1),(269,1),(280,1),(283,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(89,1),(152,1),(156,1),(167,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(91,1),(157,1),(158,1),(253,1),(352,1)}
       120:{2,4,6}:{(86,1),(97,1),(151,1),(160,1),(161,1)}
       121:{1,3,4,7}:{(86,1),(87,1),(89,1),(152,1),(161,1),(165,1),(256,1),(343,1)}
       122:{2,3,4,6,7}:{(87,1),(90,1),(99,1),(153,1),(162,1),(163,1),(174,1),(247,1),(260,1),(272,1),(347,1),(364,1),(437,1),(438,1),(450,1),(496,1)}
       123:{1,3,6}:{(88,1),(100,1),(160,1),(165,1)}
       124:{1,2,4,7}:{(88,1),(89,1),(93,1),(161,1),(165,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(94,1),(102,1),(167,1)}
       126:{2,5,7}:{(90,1),(91,1),(103,1),(167,1)}
       127:{1,4,5,7}:{(91,1),(96,1),(104,1),(168,1),(371,1)}
       128:{1,2,4,6}:{(92,1),(105,1),(164,1),(169,1),(170,1),(243,1),(283,1)}
       129:{1,2,3,5,7}:{(92,1),(93,1),(165,1),(170,1),(171,1),(244,1),(264,1),(266,1),(270,1)}
       130:{1,2,6,7}:{(93,1),(94,1),(107,1),(245,1)}
       131:{1,3,5,6,7}:{(94,1),(95,1),(108,1),(167,1),(172,1),(173,1),(266,1),(268,1),(271,1)}
       132:{2,4,6,7}:{(95,1),(96,1),(109,1),(168,1),(173,1),(174,1),(364,1)}
       133:{1,2,4,5}:{(97,1),(159,1),(175,1),(273,1),(342,1),(355,1)}
       134:{2,3,5}:{(97,1),(100,1),(160,1),(175,1),(177,1)}
       135:{2,4,5,7}:{(97,1),(98,1),(161,1),(178,1),(179,1),(261,1),(364,1),(378,1),(507,1),(513,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(102,1),(179,1),(180,1),(183,1),(276,1),(283,1),(289,1),(376,1),(379,1),(431,1),(539,1)}
       137:{2,3,5,6}:{(99,1),(103,1),(163,1),(180,1),(181,1),(186,1),(285,1),(435,1),(498,1),(534,1)}
       138:{1,3,4}:{(100,1),(105,1),(177,1)}
       139:{1,3,5,7}:{(100,1),(101,1),(165,1),(178,1),(182,1),(183,1),(282,1),(540,1),(543,1)}
       140:{1,2,4,6}:{(101,1),(102,1),(107,1),(179,1),(183,1),(184,1),(283,1),(539,1),(551,1)}
       141:{1,5,6}:{(102,1),(103,1),(167,1)}
       142:{2,4,5,6}:{(103,1),(104,1),(109,1),(168,1),(185,1),(186,1),(285,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(182,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(183,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(285,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(186,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(266,1),(370,1),(506,1),(540,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(268,1),(369,1),(382,1)}
       151:{2,5,6}:{(114,1),(120,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(123,1),(195,1),(199,1),(200,1),(211,1),(316,1),(331,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(124,1),(196,1),(200,1),(201,1),(214,1),(296,1),(314,1),(318,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(126,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(127,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(133,1),(194,1),(204,1),(205,1),(292,1)}
       160:{2,3,6}:{(120,1),(123,1),(134,1),(204,1),(207,1)}
       161:{2,4,7}:{(120,1),(121,1),(196,1),(207,1)}
       162:{1,3,4,6,7}:{(121,1),(122,1),(125,1),(136,1),(197,1),(208,1),(209,1),(213,1),(299,1),(309,1),(318,1),(323,1),(390,1),(396,1),(406,1),(410,1),(472,1),(481,1),(519,1)}
       163:{2,3,5,7}:{(122,1),(126,1),(137,1),(209,1),(210,1),(216,1),(320,1),(394,1),(471,1),(518,1)}
       164:{1,3,4,6}:{(123,1),(128,1),(138,1),(206,1),(211,1),(212,1),(316,1)}
       165:{1,3,7}:{(123,1),(124,1),(207,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(130,1),(140,1),(208,1),(213,1),(214,1),(318,1),(519,1),(520,1),(526,1)}
       167:{1,5,7}:{(125,1),(126,1),(141,1)}
       168:{2,4,5,7}:{(126,1),(127,1),(132,1),(142,1),(215,1),(216,1),(320,1)}
       169:{1,2,4,5}:{(128,1),(211,1),(234,1),(295,1),(333,1)}
       170:{1,2,4,7}:{(128,1),(129,1),(212,1),(296,1),(318,1)}
       171:{1,2,3,6,7}:{(129,1),(130,1),(144,1),(213,1),(218,1),(297,1),(316,1),(548,1)}
       172:{1,2,5,6,7}:{(130,1),(131,1),(145,1),(214,1),(219,1),(298,1),(320,1),(400,1)}
       173:{1,4,6,7}:{(131,1),(132,1),(146,1),(215,1),(318,1)}
       174:{3,4,6,7}:{(132,1),(147,1),(216,1),(396,1),(410,1)}
       175:{1,3,5}:{(133,1),(134,1),(204,1),(222,1)}
       176:{1,2,4,5,7}:{(133,1),(135,1),(205,1),(223,1),(224,1),(240,1),(310,1),(324,1),(341,1),(389,1),(401,1),(406,1),(417,1),(419,1),(483,1),(491,1)}
       177:{2,3,4}:{(134,1),(138,1),(222,1)}
       178:{2,3,5,7}:{(134,1),(135,1),(139,1),(207,1),(223,1),(225,1),(226,1),(329,1),(527,1),(532,1)}
       179:{2,4,6}:{(135,1),(136,1),(226,1),(227,1)}
       180:{1,3,5,6}:{(136,1),(137,1),(141,1),(209,1),(227,1),(228,1),(331,1),(336,1),(466,1),(545,1)}
       181:{2,4,5,6}:{(137,1),(210,1),(228,1),(229,1),(330,1)}
       182:{1,3,4,7}:{(138,1),(139,1),(143,1),(225,1),(230,1),(318,1),(550,1)}
       183:{1,3,6}:{(139,1),(140,1),(226,1)}
       184:{1,2,5,6}:{(140,1),(141,1),(214,1),(227,1),(231,1),(234,1),(545,1)}
       185:{1,4,5,6}:{(141,1),(142,1),(146,1),(215,1),(233,1)}
       186:{3,5,6}:{(142,1),(147,1),(216,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(230,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(231,1),(234,1),(235,1),(236,1),(335,1),(337,1),(488,1),(531,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(233,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(318,1),(414,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(320,1),(414,1),(425,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(160,1),(241,1),(243,1),(244,1),(258,1),(362,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(161,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(163,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(283,1),(379,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(165,1),(244,1),(249,1),(250,1),(365,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(269,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(167,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(168,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,3,6}:{(159,1),(160,1),(175,1),(256,1)}
       205:{1,2,4,7}:{(159,1),(161,1),(242,1),(256,1),(343,1)}
       206:{2,3,4,6}:{(160,1),(164,1),(177,1),(243,1),(255,1),(258,1),(259,1),(362,1)}
       207:{2,3,7}:{(160,1),(161,1),(165,1),(256,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(179,1),(245,1),(260,1),(261,1),(364,1),(499,1),(507,1)}
       209:{1,3,5,7}:{(162,1),(163,1),(167,1),(180,1),(261,1),(262,1),(365,1),(371,1),(432,1),(535,1)}
       210:{2,4,5,7}:{(163,1),(181,1),(247,1),(262,1),(263,1),(364,1)}
       211:{1,3,5}:{(164,1),(169,1),(258,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(170,1),(259,1),(264,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(183,1),(260,1),(266,1),(540,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(184,1),(261,1),(266,1),(535,1)}
       215:{1,4,5,7}:{(167,1),(168,1),(173,1),(185,1),(268,1)}
       216:{3,5,7}:{(168,1),(174,1),(186,1)}
       217:{1,2,4,5,7}:{(169,1),(170,1),(264,1),(269,1),(270,1),(346,1),(368,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(187,1),(265,1),(269,1),(270,1),(347,1),(538,1),(551,1)}
       219:{1,2,4,6,7}:{(172,1),(173,1),(189,1),(267,1),(271,1),(272,1),(349,1),(439,1),(499,1)}
       220:{1,3,4,6,7}:{(173,1),(174,1),(190,1),(268,1),(271,1),(272,1),(369,1)}
       221:{1,2,3,5}:{(175,1),(254,1),(273,1),(355,1)}
       222:{1,3,4}:{(175,1),(177,1),(273,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(256,1),(275,1),(276,1),(375,1),(508,1),(515,1)}
       224:{1,2,4,6}:{(176,1),(179,1),(276,1),(277,1),(289,1),(376,1),(387,1),(431,1),(441,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(182,1),(275,1),(278,1),(364,1),(544,1)}
       226:{2,3,6}:{(178,1),(179,1),(183,1),(276,1)}
       227:{2,5,6}:{(179,1),(180,1),(261,1)}
       228:{1,4,5,6}:{(180,1),(181,1),(262,1),(280,1),(283,1),(376,1)}
       229:{3,4,5,6}:{(181,1),(186,1),(263,1),(379,1),(498,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(187,1),(278,1),(282,1),(283,1)}
       231:{1,3,5,6}:{(183,1),(184,1),(266,1),(279,1),(282,1),(283,1)}
       232:{1,2,4,5,6}:{(184,1),(185,1),(189,1),(267,1),(280,1),(283,1),(284,1),(285,1),(286,1),(381,1),(383,1),(461,1),(512,1)}
       233:{1,3,5,6}:{(185,1),(186,1),(190,1),(268,1),(285,1)}
       234:{1,2,5}:{(187,1),(282,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(283,1),(286,1),(287,1),(383,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(285,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(540,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(371,1),(452,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(204,1),(292,1),(293,1),(307,1),(404,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(205,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(207,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(209,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(210,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(211,1),(295,1),(333,1),(422,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(318,1),(410,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(316,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(214,1),(298,1),(303,1),(321,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(215,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(216,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(221,1),(305,1),(306,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(222,1),(292,1),(305,1),(307,1),(308,1),(404,1)}
       256:{1,3,7}:{(204,1),(205,1),(207,1)}
       257:{1,2,4,6,7}:{(205,1),(208,1),(224,1),(294,1),(309,1),(310,1),(323,1),(390,1),(406,1),(416,1),(483,1)}
       258:{2,3,5}:{(206,1),(211,1),(295,1),(307,1)}
       259:{2,3,4,7}:{(206,1),(207,1),(212,1),(296,1),(308,1),(311,1)}
       260:{2,3,6,7}:{(207,1),(208,1),(213,1),(226,1),(309,1),(313,1),(396,1),(527,1)}
       261:{2,5,7}:{(208,1),(209,1),(227,1)}
       262:{1,4,5,7}:{(209,1),(210,1),(228,1),(299,1),(314,1),(318,1),(406,1)}
       263:{3,4,5,7}:{(210,1),(216,1),(229,1),(300,1),(410,1),(471,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(217,1),(311,1),(316,1)}
       265:{1,3,4,6,7}:{(212,1),(213,1),(218,1),(230,1),(312,1),(316,1),(317,1),(318,1),(413,1),(519,1),(523,1),(546,1)}
       266:{1,3,5,7}:{(213,1),(214,1),(231,1),(313,1),(318,1)}
       267:{1,2,4,5,7}:{(214,1),(215,1),(219,1),(232,1),(314,1),(318,1),(319,1),(320,1),(412,1),(414,1),(482,1),(526,1)}
       268:{1,3,5,7}:{(215,1),(216,1),(220,1),(233,1),(320,1)}
       269:{1,2,4,6}:{(217,1),(316,1),(321,1),(393,1),(413,1)}
       270:{1,2,5,7}:{(218,1),(234,1),(317,1),(321,1),(394,1)}
       271:{1,3,6,7}:{(219,1),(236,1),(319,1),(322,1),(396,1)}
       272:{2,4,6,7}:{(220,1),(237,1),(320,1),(322,1),(323,1),(414,1)}
       273:{1,2,4}:{(221,1),(222,1)}
       274:{1,2,3,5,7}:{(221,1),(223,1),(306,1),(324,1),(325,1),(341,1),(401,1),(417,1),(430,1),(493,1)}
       275:{1,3,4,7}:{(222,1),(223,1),(225,1),(324,1),(326,1),(406,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(226,1)}
       277:{1,2,5,6}:{(224,1),(227,1),(310,1),(327,1),(336,1),(417,1),(466,1)}
       278:{2,3,4,6}:{(225,1),(226,1),(230,1),(326,1),(329,1),(330,1)}
       279:{2,3,5,6}:{(226,1),(227,1),(231,1),(313,1),(327,1),(329,1),(330,1),(331,1)}
       280:{2,4,5,6}:{(227,1),(228,1),(314,1),(330,1),(331,1)}
       281:{1,3,4,5,6}:{(228,1),(229,1),(233,1),(315,1),(331,1),(332,1),(334,1),(420,1),(424,1),(517,1)}
       282:{1,3,5}:{(230,1),(234,1),(329,1),(333,1)}
       283:{1,4,6}:{(231,1),(318,1),(330,1),(333,1)}
       284:{1,3,5,6}:{(232,1),(236,1),(319,1),(331,1),(334,1),(335,1),(337,1),(531,1)}
       285:{2,5,6}:{(233,1),(237,1),(320,1),(336,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(333,1),(337,1),(425,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(531,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(336,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(414,1),(527,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(256,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(258,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(362,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(261,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(262,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(263,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(264,1),(346,1),(351,1),(352,1),(368,1),(449,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(266,1),(348,1),(352,1),(353,1),(367,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(268,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(273,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(256,1),(356,1)}
       307:{1,3,5}:{(255,1),(258,1),(342,1),(355,1)}
       308:{1,3,4,7}:{(255,1),(256,1),(259,1),(343,1),(356,1),(358,1)}
       309:{1,3,6,7}:{(256,1),(257,1),(260,1),(276,1),(360,1),(508,1)}
       310:{1,2,5,7}:{(257,1),(261,1),(277,1),(360,1),(371,1),(432,1)}
       311:{2,3,5,7}:{(258,1),(259,1),(264,1),(346,1),(358,1),(362,1)}
       312:{2,3,4,6,7}:{(259,1),(260,1),(265,1),(278,1),(347,1),(359,1),(362,1),(363,1),(364,1),(437,1),(448,1),(496,1),(502,1),(536,1)}
       313:{2,3,5,7}:{(260,1),(261,1),(266,1),(279,1),(360,1),(364,1),(365,1)}
       314:{2,4,5,7}:{(261,1),(262,1),(280,1),(349,1),(364,1),(365,1)}
       315:{1,3,4,5,7}:{(262,1),(263,1),(268,1),(281,1),(350,1),(365,1),(366,1),(369,1),(446,1),(451,1),(495,1)}
       316:{1,3,6}:{(264,1),(269,1),(362,1)}
       317:{1,3,5,7}:{(265,1),(270,1),(282,1),(363,1),(367,1),(368,1),(535,1)}
       318:{1,4,7}:{(266,1),(283,1),(364,1)}
       319:{1,3,5,7}:{(267,1),(271,1),(284,1),(365,1),(369,1),(370,1),(540,1)}
       320:{2,5,7}:{(268,1),(272,1),(285,1),(371,1)}
       321:{1,2,5,6}:{(269,1),(270,1),(367,1),(435,1),(551,1)}
       322:{2,3,6,7}:{(271,1),(272,1),(288,1),(370,1),(372,1),(499,1)}
       323:{1,4,6,7}:{(272,1),(289,1),(371,1),(372,1),(452,1)}
       324:{1,2,4,7}:{(273,1),(274,1),(275,1),(373,1),(516,1)}
       325:{1,2,3,6}:{(274,1),(276,1),(373,1),(387,1),(441,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(373,1),(375,1),(376,1)}
       327:{1,3,5,6}:{(276,1),(277,1),(279,1),(360,1),(375,1),(376,1)}
       328:{1,2,4,5,6}:{(277,1),(280,1),(361,1),(376,1),(377,1),(381,1),(454,1),(457,1),(461,1),(463,1),(494,1),(500,1),(534,1)}
       329:{2,3,5}:{(278,1),(282,1),(375,1),(378,1)}
       330:{2,4,6}:{(279,1),(283,1),(364,1),(376,1),(378,1),(379,1)}
       331:{3,5,6}:{(280,1),(365,1),(379,1)}
       332:{2,4,5,6}:{(281,1),(285,1),(366,1),(380,1),(381,1),(383,1),(457,1),(461,1),(534,1)}
       333:{1,4,5}:{(282,1),(283,1),(378,1)}
       334:{1,3,4,6}:{(283,1),(284,1),(369,1),(379,1),(382,1),(383,1)}
       335:{2,3,5,6}:{(284,1),(285,1),(288,1),(370,1),(383,1),(384,1),(385,1),(461,1),(514,1)}
       336:{1,5,6}:{(285,1),(289,1),(371,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(383,1),(385,1),(386,1),(514,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(452,1),(508,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(307,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(404,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(310,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(311,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(313,1),(391,1),(394,1),(395,1),(396,1),(408,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(314,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(315,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(316,1),(393,1),(398,1),(413,1),(480,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(318,1),(395,1),(399,1),(413,1)}
       354:{2,5,6,7}:{(304,1),(320,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(307,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(308,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(309,1),(325,1),(402,1),(403,1),(416,1),(469,1),(521,1)}
       358:{1,3,5,7}:{(307,1),(308,1),(311,1),(389,1),(401,1),(404,1)}
       359:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(326,1),(390,1),(402,1),(404,1),(405,1),(406,1),(475,1),(476,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(313,1),(327,1),(406,1)}
       361:{1,2,4,5,7}:{(310,1),(314,1),(328,1),(392,1),(406,1),(407,1),(412,1),(467,1),(478,1),(482,1),(483,1),(518,1)}
       362:{2,3,6}:{(311,1),(316,1),(393,1),(404,1)}
       363:{2,3,5,7}:{(312,1),(317,1),(329,1),(394,1),(405,1),(408,1),(409,1),(471,1),(518,1)}
       364:{2,4,7}:{(313,1),(318,1),(330,1),(406,1),(410,1)}
       365:{3,5,7}:{(314,1),(331,1),(396,1),(410,1)}
       366:{2,4,5,7}:{(315,1),(320,1),(332,1),(397,1),(411,1),(412,1),(414,1),(478,1),(482,1),(518,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(321,1),(408,1),(413,1),(545,1),(546,1)}
       368:{1,4,5,7}:{(317,1),(318,1),(333,1),(409,1),(413,1)}
       369:{1,3,4,7}:{(318,1),(319,1),(334,1),(410,1),(414,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(322,1),(335,1),(414,1),(415,1),(482,1),(527,1)}
       371:{1,5,7}:{(320,1),(323,1),(336,1)}
       372:{1,3,6,7}:{(322,1),(323,1),(339,1),(415,1),(416,1)}
       373:{1,2,4,6}:{(324,1),(325,1),(326,1),(417,1)}
       374:{1,2,3,5,6}:{(325,1),(327,1),(403,1),(417,1),(418,1),(421,1),(427,1),(473,1),(484,1),(492,1),(493,1),(521,1)}
       375:{1,3,5}:{(326,1),(329,1),(417,1),(419,1)}
       376:{1,4,6}:{(327,1),(330,1),(406,1),(419,1)}
       377:{1,3,5,6}:{(328,1),(331,1),(407,1),(420,1),(421,1),(484,1),(492,1),(521,1)}
       378:{2,4,5}:{(329,1),(330,1),(333,1),(419,1),(422,1)}
       379:{3,4,6}:{(330,1),(331,1),(410,1),(422,1)}
       380:{2,3,5,6}:{(331,1),(332,1),(411,1),(423,1),(424,1)}
       381:{1,4,5,6}:{(332,1),(336,1),(412,1),(424,1),(426,1),(487,1),(545,1)}
       382:{1,3,4,5}:{(333,1),(334,1),(337,1),(422,1),(425,1)}
       383:{2,4,6}:{(334,1),(335,1),(414,1),(425,1),(426,1)}
       384:{1,3,5,6}:{(335,1),(336,1),(339,1),(415,1),(426,1),(427,1),(428,1),(492,1)}
       385:{2,3,5}:{(337,1),(338,1),(425,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(426,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(358,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(360,1),(432,1),(433,1),(434,1),(444,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(361,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(362,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(364,1),(433,1),(436,1),(437,1),(448,1)}
       396:{3,6,7}:{(349,1),(365,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(366,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(371,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(358,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(373,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(360,1),(374,1),(442,1),(443,1),(447,1),(453,1),(501,1),(508,1)}
       404:{1,3,6}:{(358,1),(362,1),(431,1),(441,1)}
       405:{1,3,5,7}:{(359,1),(363,1),(375,1),(432,1),(442,1),(444,1),(445,1)}
       406:{1,4,7}:{(360,1),(364,1),(376,1)}
       407:{1,3,5,7}:{(361,1),(365,1),(377,1),(434,1),(446,1),(447,1),(508,1)}
       408:{2,3,5,6}:{(362,1),(363,1),(367,1),(435,1),(444,1),(448,1),(498,1),(534,1),(536,1)}
       409:{2,4,5,7}:{(363,1),(364,1),(368,1),(378,1),(445,1),(448,1),(449,1)}
       410:{3,4,7}:{(364,1),(365,1),(379,1)}
       411:{2,3,5,7}:{(365,1),(366,1),(380,1),(438,1),(450,1),(451,1)}
       412:{1,4,5,7}:{(366,1),(371,1),(381,1),(439,1),(451,1),(452,1),(505,1),(535,1)}
       413:{1,4,6}:{(367,1),(368,1),(448,1)}
       414:{2,4,7}:{(369,1),(370,1),(383,1),(452,1)}
       415:{1,3,5,7}:{(370,1),(371,1),(372,1),(384,1),(452,1),(453,1),(508,1)}
       416:{1,2,6,7}:{(372,1),(387,1),(453,1),(499,1)}
       417:{1,2,5}:{(373,1),(375,1)}
       418:{1,2,4,6}:{(374,1),(376,1),(443,1),(454,1),(455,1),(457,1),(516,1)}
       419:{1,4,5}:{(375,1),(376,1),(378,1)}
       420:{1,3,4,6}:{(376,1),(377,1),(379,1),(446,1),(456,1),(457,1)}
       421:{2,3,5,6}:{(377,1),(447,1),(457,1),(458,1),(461,1),(509,1),(514,1),(534,1),(536,1)}
       422:{3,4,5}:{(378,1),(379,1)}
       423:{2,3,4,6}:{(379,1),(380,1),(383,1),(450,1),(457,1),(459,1),(460,1),(514,1)}
       424:{1,3,5,6}:{(380,1),(381,1),(451,1),(460,1),(461,1)}
       425:{2,4,5}:{(382,1),(383,1),(385,1),(462,1)}
       426:{1,4,6}:{(383,1),(384,1),(452,1),(462,1)}
       427:{1,2,5,6}:{(384,1),(387,1),(453,1),(461,1),(463,1),(464,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(508,1)}
       431:{1,4,6}:{(389,1),(393,1),(404,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(406,1),(467,1),(476,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(407,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(410,1),(471,1),(480,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(411,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(412,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(413,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(404,1)}
       442:{1,2,5,7}:{(402,1),(405,1),(417,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(406,1),(418,1),(475,1),(478,1)}
       444:{1,3,5,6}:{(404,1),(405,1),(408,1),(466,1),(473,1),(476,1),(521,1)}
       445:{1,4,5,7}:{(405,1),(406,1),(409,1),(419,1),(476,1)}
       446:{1,3,4,7}:{(406,1),(407,1),(410,1),(420,1),(478,1)}
       447:{2,3,5,7}:{(407,1),(421,1),(469,1),(478,1),(479,1),(482,1),(518,1),(527,1)}
       448:{2,4,6}:{(408,1),(409,1),(413,1),(476,1),(480,1)}
       449:{3,4,5,7}:{(409,1),(410,1),(422,1),(471,1),(480,1)}
       450:{2,3,4,7}:{(410,1),(411,1),(414,1),(423,1),(478,1),(481,1),(527,1)}
       451:{1,3,5,7}:{(411,1),(412,1),(424,1),(472,1),(481,1),(482,1)}
       452:{1,4,7}:{(414,1),(415,1),(426,1)}
       453:{1,2,5,7}:{(415,1),(416,1),(427,1),(482,1),(483,1)}
       454:{1,2,4,5}:{(417,1),(418,1),(419,1),(484,1),(486,1)}
       455:{1,3,4,6}:{(418,1),(475,1),(484,1),(485,1),(492,1),(521,1),(533,1)}
       456:{1,3,4,5}:{(419,1),(420,1),(422,1),(484,1),(486,1)}
       457:{2,4,6}:{(420,1),(421,1),(478,1),(486,1),(487,1)}
       458:{1,3,5,6}:{(421,1),(479,1),(487,1),(488,1),(528,1),(531,1),(545,1),(546,1)}
       459:{2,3,4,5}:{(422,1),(423,1),(425,1),(486,1),(489,1),(532,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(481,1),(487,1),(489,1),(490,1),(492,1),(531,1)}
       461:{2,5,6}:{(424,1),(482,1),(490,1)}
       462:{1,4,5}:{(425,1),(426,1),(428,1)}
       463:{1,2,4,6}:{(426,1),(427,1),(483,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(495,1),(496,1),(503,1)}
       469:{2,3,6,7}:{(434,1),(447,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(448,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(451,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(444,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(445,1),(454,1),(500,1),(501,1),(504,1)}
       475:{1,3,4,7}:{(443,1),(455,1),(501,1),(502,1),(508,1)}
       476:{1,4,6}:{(444,1),(445,1),(448,1)}
       477:{1,3,4,5,7}:{(445,1),(446,1),(449,1),(456,1),(495,1),(501,1),(503,1),(504,1)}
       478:{2,4,7}:{(446,1),(447,1),(457,1),(505,1)}
       479:{1,3,5,7}:{(447,1),(458,1),(497,1),(505,1),(506,1),(535,1),(540,1)}
       480:{3,4,6}:{(448,1),(449,1),(498,1)}
       481:{1,3,4,7}:{(450,1),(451,1),(452,1),(460,1),(505,1),(507,1),(508,1),(540,1)}
       482:{2,5,7}:{(451,1),(461,1),(499,1),(507,1)}
       483:{1,2,4,7}:{(452,1),(453,1),(463,1),(507,1),(508,1)}
       484:{1,3,5}:{(454,1),(455,1),(509,1)}
       485:{2,3,4,6}:{(455,1),(457,1),(502,1),(509,1),(510,1),(514,1),(536,1),(544,1)}
       486:{2,4,5}:{(456,1),(457,1),(509,1),(511,1)}
       487:{1,4,6}:{(457,1),(458,1),(505,1),(511,1)}
       488:{1,2,5,6}:{(458,1),(461,1),(506,1),(512,1),(541,1),(551,1)}
       489:{1,3,4,5}:{(459,1),(460,1),(462,1),(511,1),(513,1),(515,1),(543,1)}
       490:{2,4,6}:{(460,1),(461,1),(507,1),(513,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(513,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(508,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(476,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(478,1),(518,1),(519,1),(524,1)}
       497:{1,3,6,7}:{(469,1),(479,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(480,1)}
       499:{2,6,7}:{(472,1),(482,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(476,1),(521,1),(524,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(484,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(478,1),(485,1),(522,1),(523,1),(527,1)}
       503:{1,3,4,6}:{(476,1),(477,1),(480,1),(517,1),(521,1),(524,1)}
       504:{2,4,5,7}:{(477,1),(478,1),(486,1),(518,1),(522,1),(524,1),(525,1)}
       505:{1,4,7}:{(478,1),(479,1),(487,1)}
       506:{1,2,5,7}:{(479,1),(482,1),(488,1),(520,1),(526,1)}
       507:{2,4,7}:{(481,1),(482,1),(490,1),(527,1)}
       508:{1,3,7}:{(483,1),(492,1),(527,1)}
       509:{2,3,5}:{(484,1),(485,1),(486,1),(528,1)}
       510:{1,3,4,6}:{(485,1),(487,1),(523,1),(528,1),(529,1),(531,1),(546,1),(550,1)}
       511:{1,4,5}:{(486,1),(487,1),(528,1)}
       512:{1,2,4,6}:{(487,1),(488,1),(490,1),(526,1),(530,1),(531,1)}
       513:{2,4,5}:{(489,1),(490,1),(532,1)}
       514:{2,3,6}:{(490,1),(492,1),(527,1),(531,1),(532,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(503,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(505,1),(535,1),(539,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(506,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(504,1),(509,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(505,1),(510,1),(537,1),(538,1),(540,1)}
       524:{2,4,6}:{(503,1),(504,1),(534,1),(536,1),(539,1)}
       525:{1,4,5,7}:{(504,1),(505,1),(511,1),(535,1),(537,1),(539,1)}
       526:{1,2,4,7}:{(505,1),(506,1),(507,1),(512,1),(540,1)}
       527:{2,3,7}:{(507,1),(508,1),(514,1),(540,1)}
       528:{1,3,5}:{(509,1),(510,1),(511,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(538,1),(541,1),(542,1),(551,1),(552,1)}
       530:{1,2,4,5}:{(511,1),(512,1),(513,1),(541,1),(543,1),(552,1)}
       531:{1,3,6}:{(512,1),(514,1),(540,1),(543,1)}
       532:{2,3,5}:{(513,1),(514,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(524,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(524,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(525,1),(528,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(529,1),(547,1),(548,1)}
       539:{1,4,6}:{(524,1),(525,1),(545,1),(546,1)}
       540:{1,3,7}:{(526,1),(527,1),(531,1)}
       541:{1,2,5}:{(528,1),(529,1)}
       542:{1,2,3,6}:{(529,1),(531,1),(548,1),(549,1)}
       543:{1,3,5}:{(530,1),(531,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(539,1)}
       546:{1,3,6}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(541,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

 979 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

 980 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(77,1),(211,1),(306,1),(316,1),(426,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(19,1),(103,1),(165,1),(255,1),(357,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(109,1),(366,1),(382,1),(390,1)}
         3:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(12,1),(30,1),(34,1),(125,1),(206,1),(215,1),(316,1),(320,1),(414,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(9,1),(140,1),(405,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(11,1),(34,1),(36,1),(79,1),(306,1),(319,1),(336,1),(345,1),(348,1),(405,1)}
         6:{1,2,4,7}:{(2,1),(11,1),(12,1),(146,1),(414,1)}
         7:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(23,1),(45,1),(54,1),(91,1),(97,1),(103,1),(160,1),(168,1),(275,1),(278,1),(375,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(17,1),(264,1),(371,1)}
         9:{1,2,5,6}:{(4,1),(16,1),(19,1),(105,1),(255,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(17,1),(19,1),(20,1),(21,1),(50,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(21,1),(22,1),(111,1),(370,1),(397,1)}
        12:{1,3,4,7}:{(6,1),(20,1),(22,1),(23,1),(390,1)}
        13:{1,2,3,6,7}:{(24,1),(25,1),(85,1),(121,1),(152,1),(203,1),(234,1),(489,1)}
        14:{1,3,4,6,7}:{(7,1),(24,1),(26,1),(38,1),(63,1),(65,1),(80,1),(121,1),(141,1),(234,1),(238,1),(334,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(132,1),(140,1),(214,1),(328,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(27,1),(30,1),(34,1),(206,1),(217,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(30,1),(414,1),(419,1)}
        18:{1,2,5,6,7}:{(9,1),(29,1),(32,1),(140,1),(230,1),(302,1),(315,1),(322,1)}
        19:{1,2,4,6}:{(9,1),(10,1),(30,1),(34,1),(74,1)}
        20:{1,3,5,7}:{(10,1),(12,1),(34,1),(35,1),(36,1)}
        21:{1,2,4,5}:{(11,1),(36,1),(82,1),(405,1),(419,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(34,1),(36,1),(37,1),(345,1),(349,1)}
        23:{2,3,4,7}:{(12,1),(35,1),(37,1),(38,1),(146,1),(341,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(39,1),(41,1),(59,1),(87,1),(113,1),(168,1),(198,1)}
        25:{1,2,3,5,7}:{(13,1),(39,1),(40,1),(41,1),(88,1),(251,1),(284,1),(455,1),(509,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(184,1),(289,1)}
        27:{2,3,5,6}:{(15,1),(16,1),(42,1),(45,1),(54,1),(98,1),(105,1),(160,1),(170,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(43,1),(45,1),(46,1),(375,1),(378,1)}
        29:{1,3,5,6,7}:{(16,1),(18,1),(44,1),(47,1),(52,1),(102,1),(252,1),(264,1),(366,1)}
        30:{1,4,6}:{(16,1),(17,1),(45,1)}
        31:{1,3,4,5,7}:{(17,1),(20,1),(46,1),(49,1),(50,1),(56,1),(102,1),(108,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(47,1),(51,1),(52,1),(103,1),(280,1),(372,1),(379,1)}
        33:{1,2,4,5,6}:{(19,1),(21,1),(48,1),(51,1),(53,1),(105,1),(111,1),(187,1),(268,1),(276,1),(286,1),(294,1),(370,1)}
        34:{1,3,6}:{(19,1),(20,1),(54,1)}
        35:{2,3,5,7}:{(20,1),(23,1),(50,1),(54,1),(55,1),(57,1)}
        36:{1,3,5}:{(21,1),(22,1),(57,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(54,1),(57,1),(58,1),(111,1),(295,1),(299,1)}
        38:{1,3,4,7}:{(23,1),(55,1),(58,1),(59,1),(192,1),(291,1)}
        39:{1,2,5,7}:{(24,1),(26,1),(60,1),(214,1),(246,1)}
        40:{1,2,3,5,6}:{(25,1),(60,1),(62,1),(121,1),(123,1),(152,1),(205,1),(237,1),(246,1),(416,1),(484,1),(487,1)}
        41:{1,2,4,7}:{(25,1),(62,1),(63,1),(300,1),(334,1)}
        42:{1,3,5,6}:{(26,1),(27,1),(60,1),(65,1),(80,1),(121,1),(143,1)}
        43:{1,4,5,7}:{(26,1),(28,1),(65,1),(334,1),(339,1)}
        44:{2,3,5,6,7}:{(27,1),(29,1),(64,1),(67,1),(77,1),(132,1),(140,1),(203,1),(214,1),(322,1),(324,1),(420,1)}
        45:{2,4,6}:{(27,1),(28,1),(30,1),(65,1),(69,1)}
        46:{3,4,5,7}:{(28,1),(69,1),(132,1),(422,1),(425,1)}
        47:{1,4,6,7}:{(29,1),(30,1),(67,1),(71,1),(414,1)}
        48:{1,4,5,6}:{(30,1),(68,1),(71,1),(73,1),(217,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(34,1),(69,1),(73,1),(74,1)}
        50:{2,4,5,7}:{(31,1),(35,1),(74,1),(75,1),(82,1),(140,1),(146,1)}
        51:{1,2,4,5,7}:{(32,1),(33,1),(71,1),(76,1),(140,1),(146,1),(232,1),(315,1),(323,1),(332,1),(340,1),(414,1)}
        52:{1,3,6,7}:{(32,1),(34,1),(76,1),(77,1),(420,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(36,1),(76,1),(78,1),(79,1),(326,1),(345,1)}
        54:{2,3,6}:{(34,1),(35,1),(74,1),(80,1)}
        55:{1,3,5,7}:{(35,1),(38,1),(75,1),(80,1),(81,1),(83,1)}
        56:{1,3,4,5}:{(36,1),(78,1),(82,1),(419,1),(425,1)}
        57:{2,3,5}:{(36,1),(37,1),(82,1),(83,1)}
        58:{1,3,4,6}:{(37,1),(38,1),(80,1),(83,1),(84,1),(150,1),(244,1),(249,1)}
        59:{1,2,4,7}:{(38,1),(81,1),(84,1),(85,1)}
        60:{1,2,5,6}:{(39,1),(42,1),(87,1),(113,1),(170,1)}
        61:{1,2,4,5,7}:{(39,1),(41,1),(43,1),(87,1),(88,1),(89,1),(95,1)}
        62:{1,2,4,6}:{(40,1),(41,1),(89,1),(90,1),(253,1),(288,1),(516,1)}
        63:{1,3,4,7}:{(41,1),(88,1),(90,1),(91,1),(509,1)}
        64:{1,3,5,6,7}:{(42,1),(44,1),(86,1),(92,1),(110,1),(158,1),(167,1),(184,1),(284,1)}
        65:{1,4,6}:{(42,1),(43,1),(45,1)}
        66:{1,3,4,5,7}:{(43,1),(46,1),(88,1),(94,1),(95,1),(162,1),(167,1),(250,1)}
        67:{2,4,6,7}:{(44,1),(45,1),(47,1),(92,1),(96,1),(97,1),(375,1)}
        68:{2,4,5,6}:{(45,1),(48,1),(93,1),(96,1),(98,1),(105,1),(170,1)}
        69:{3,4,6}:{(45,1),(46,1),(98,1)}
        70:{2,3,4,5,7}:{(46,1),(50,1),(95,1),(99,1),(100,1),(115,1),(175,1),(180,1),(191,1),(257,1),(350,1),(375,1),(378,1),(465,1),(472,1),(522,1)}
        71:{1,4,5,7}:{(47,1),(48,1),(96,1),(102,1),(264,1)}
        72:{1,3,4,6,7}:{(47,1),(49,1),(52,1),(97,1),(102,1),(103,1),(108,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(98,1),(102,1),(105,1)}
        74:{2,4,6}:{(49,1),(50,1),(54,1),(105,1),(106,1)}
        75:{1,4,5,7}:{(50,1),(55,1),(106,1),(116,1),(184,1),(192,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(374,1),(390,1)}
        77:{2,3,6,7}:{(52,1),(54,1),(103,1),(109,1),(110,1),(379,1)}
        78:{1,3,4,6}:{(53,1),(56,1),(108,1),(111,1),(370,1),(377,1)}
        79:{2,3,5,6}:{(53,1),(54,1),(57,1),(105,1),(109,1),(111,1),(112,1),(286,1),(295,1)}
        80:{1,3,6}:{(54,1),(55,1),(106,1),(113,1)}
        81:{1,2,5,7}:{(55,1),(59,1),(113,1),(117,1)}
        82:{2,4,5}:{(56,1),(57,1),(111,1),(116,1)}
        83:{1,3,5}:{(57,1),(58,1),(116,1),(117,1)}
        84:{1,2,4,6}:{(58,1),(59,1),(113,1),(117,1),(118,1),(201,1)}
        85:{1,2,3,7}:{(59,1),(118,1),(291,1)}
        86:{1,2,5,6,7}:{(60,1),(64,1),(119,1),(148,1),(214,1),(233,1),(312,1),(322,1)}
        87:{1,2,4,6}:{(60,1),(61,1),(65,1),(121,1),(129,1)}
        88:{1,3,5,7}:{(61,1),(63,1),(121,1),(122,1),(123,1)}
        89:{1,2,4,5}:{(62,1),(123,1),(208,1),(246,1),(339,1)}
        90:{1,3,4,6}:{(62,1),(63,1),(121,1),(123,1),(124,1),(484,1),(488,1)}
        91:{2,3,4,7}:{(63,1),(122,1),(124,1),(125,1),(300,1),(480,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(126,1),(334,1)}
        93:{1,4,5,6}:{(65,1),(68,1),(126,1),(128,1),(143,1)}
        94:{1,3,4,6}:{(65,1),(66,1),(69,1),(121,1),(128,1),(129,1)}
        95:{2,4,5,7}:{(66,1),(122,1),(129,1),(130,1),(208,1),(214,1),(300,1)}
        96:{2,4,5,7}:{(67,1),(68,1),(71,1),(126,1),(132,1),(140,1),(214,1)}
        97:{3,4,6,7}:{(67,1),(69,1),(132,1),(420,1),(422,1)}
        98:{3,5,6}:{(68,1),(69,1),(132,1)}
        99:{2,3,4,6}:{(69,1),(70,1),(74,1),(129,1),(135,1),(136,1),(227,1),(327,1),(501,1),(506,1),(540,1)}
       100:{1,3,4,5,7}:{(70,1),(75,1),(130,1),(136,1),(137,1),(145,1),(154,1),(219,1),(223,1),(239,1),(308,1),(334,1),(339,1),(398,1),(414,1),(419,1),(422,1),(425,1),(505,1),(539,1)}
       101:{1,4,5,6,7}:{(71,1),(131,1),(138,1),(312,1),(321,1),(429,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(132,1),(140,1)}
       103:{2,4,6,7}:{(72,1),(74,1),(77,1),(140,1),(141,1),(146,1)}
       104:{1,3,4,5,6}:{(73,1),(78,1),(134,1),(139,1),(142,1),(225,1),(235,1),(326,1),(338,1),(504,1)}
       105:{2,5,6}:{(73,1),(74,1),(140,1),(143,1)}
       106:{1,4,6}:{(74,1),(75,1),(80,1),(143,1)}
       107:{1,2,4,5,7}:{(75,1),(81,1),(137,1),(144,1),(145,1),(153,1),(155,1),(233,1),(240,1),(246,1),(334,1),(339,1),(406,1),(479,1),(539,1),(549,1)}
       108:{1,3,4,7}:{(76,1),(78,1),(146,1),(414,1),(422,1)}
       109:{2,3,5,7}:{(76,1),(77,1),(79,1),(140,1),(146,1),(147,1),(332,1),(341,1)}
       110:{1,3,6,7}:{(77,1),(80,1),(141,1),(147,1),(148,1)}
       111:{2,4,6}:{(78,1),(79,1),(82,1),(146,1),(150,1)}
       112:{1,3,5,6}:{(79,1),(80,1),(83,1),(143,1),(147,1),(150,1),(151,1),(244,1)}
       113:{1,2,6}:{(80,1),(81,1)}
       114:{1,2,3,5,7}:{(81,1),(85,1),(145,1),(152,1),(153,1),(156,1),(246,1),(487,1),(530,1),(549,1)}
       115:{2,3,4,5}:{(82,1),(149,1),(154,1),(248,1),(425,1),(435,1)}
       116:{1,4,5}:{(82,1),(83,1),(150,1)}
       117:{1,2,5}:{(83,1),(84,1)}
       118:{1,2,3,6}:{(84,1),(85,1),(156,1),(244,1)}
       119:{1,2,4,6,7}:{(86,1),(87,1),(92,1),(157,1),(158,1),(168,1),(362,1),(372,1),(452,1)}
       120:{1,2,4,5,6}:{(87,1),(89,1),(93,1),(157,1),(159,1),(170,1),(188,1),(253,1),(267,1),(276,1),(288,1),(368,1),(446,1)}
       121:{1,3,6}:{(87,1),(88,1),(160,1)}
       122:{2,3,5,7}:{(88,1),(91,1),(95,1),(160,1),(161,1),(163,1)}
       123:{1,3,5}:{(89,1),(90,1),(163,1)}
       124:{2,3,4,6}:{(90,1),(91,1),(160,1),(163,1),(164,1),(253,1),(447,1),(451,1)}
       125:{1,3,4,7}:{(91,1),(161,1),(164,1),(165,1),(351,1),(443,1)}
       126:{1,4,5,7}:{(92,1),(93,1),(96,1),(167,1),(184,1)}
       127:{1,3,4,6,7}:{(92,1),(94,1),(97,1),(158,1),(167,1),(168,1),(250,1)}
       128:{1,3,5,6}:{(93,1),(94,1),(98,1),(167,1),(170,1)}
       129:{2,4,6}:{(94,1),(95,1),(160,1),(170,1),(171,1)}
       130:{1,4,5,7}:{(95,1),(161,1),(171,1),(258,1),(264,1),(351,1)}
       131:{2,4,5,6,7}:{(96,1),(101,1),(166,1),(173,1),(182,1),(262,1),(271,1),(372,1),(464,1)}
       132:{3,5,7}:{(96,1),(97,1),(98,1)}
       133:{2,3,4,6,7}:{(97,1),(99,1),(103,1),(168,1),(175,1),(176,1),(191,1),(271,1),(275,1),(279,1),(350,1),(361,1),(375,1),(463,1),(468,1),(518,1)}
       134:{3,4,5,6}:{(98,1),(174,1),(177,1),(377,1),(525,1)}
       135:{2,3,5,6}:{(98,1),(99,1),(105,1),(170,1),(175,1),(177,1),(178,1),(525,1),(527,1),(547,1)}
       136:{1,3,4,6}:{(99,1),(100,1),(106,1),(171,1),(178,1),(179,1),(189,1),(269,1),(288,1),(370,1),(377,1),(528,1),(548,1)}
       137:{2,4,5,7}:{(100,1),(179,1),(180,1),(199,1),(274,1),(290,1),(358,1),(375,1),(378,1),(442,1)}
       138:{1,3,5,6,7}:{(101,1),(102,1),(173,1),(181,1),(182,1),(469,1)}
       139:{1,3,4,5,7}:{(102,1),(104,1),(108,1),(174,1),(181,1),(183,1),(273,1),(282,1),(374,1),(384,1),(469,1)}
       140:{2,5,7}:{(102,1),(103,1),(105,1),(184,1)}
       141:{1,4,6,7}:{(103,1),(106,1),(110,1),(184,1),(192,1)}
       142:{2,4,5,6}:{(104,1),(105,1),(111,1),(183,1),(186,1),(187,1),(286,1),(388,1),(527,1)}
       143:{1,5,6}:{(105,1),(106,1),(184,1)}
       144:{1,2,4,6}:{(106,1),(107,1),(113,1),(179,1),(188,1),(189,1),(288,1),(548,1),(552,1)}
       145:{1,3,5,7}:{(107,1),(180,1),(189,1),(190,1),(200,1),(289,1),(291,1),(450,1),(509,1)}
       146:{2,4,7}:{(108,1),(109,1),(111,1),(192,1)}
       147:{1,3,5,7}:{(109,1),(110,1),(112,1),(184,1),(192,1),(193,1),(291,1)}
       148:{1,2,6,7}:{(110,1),(113,1),(193,1),(379,1)}
       149:{2,3,4,6}:{(111,1),(115,1),(186,1),(191,1),(195,1),(295,1),(377,1),(388,1)}
       150:{1,4,6}:{(111,1),(112,1),(116,1),(192,1)}
       151:{1,2,5,6}:{(112,1),(113,1),(117,1),(193,1),(196,1),(286,1)}
       152:{1,2,3,6}:{(113,1),(114,1),(189,1),(198,1),(552,1)}
       153:{1,2,4,7}:{(114,1),(190,1),(198,1),(201,1),(516,1)}
       154:{1,3,4,5}:{(115,1),(116,1),(195,1),(199,1),(200,1),(298,1),(474,1)}
       155:{1,2,4,5}:{(116,1),(117,1),(196,1),(199,1),(200,1),(201,1)}
       156:{1,2,3,5}:{(117,1),(118,1),(200,1),(201,1)}
       157:{1,2,4,5,7}:{(119,1),(120,1),(126,1),(202,1),(214,1),(233,1),(300,1),(314,1),(323,1),(334,1),(412,1),(479,1)}
       158:{1,3,6,7}:{(119,1),(121,1),(202,1),(203,1),(420,1)}
       159:{1,3,5,6}:{(120,1),(121,1),(123,1),(202,1),(204,1),(205,1),(326,1),(484,1)}
       160:{2,3,6}:{(121,1),(122,1),(129,1),(206,1)}
       161:{1,3,5,7}:{(122,1),(125,1),(130,1),(206,1),(207,1),(209,1)}
       162:{1,3,4,5}:{(123,1),(204,1),(208,1),(339,1),(425,1)}
       163:{2,3,5}:{(123,1),(124,1),(208,1),(209,1)}
       164:{1,3,4,6}:{(124,1),(125,1),(206,1),(209,1),(210,1),(304,1),(403,1),(408,1)}
       165:{1,2,4,7}:{(125,1),(207,1),(210,1),(211,1)}
       166:{1,4,5,6,7}:{(126,1),(131,1),(212,1),(230,1),(321,1),(492,1)}
       167:{1,3,5,7}:{(126,1),(127,1),(128,1),(132,1),(214,1)}
       168:{2,4,6,7}:{(127,1),(129,1),(203,1),(214,1),(215,1),(300,1)}
       169:{1,3,4,5,6}:{(128,1),(134,1),(204,1),(213,1),(216,1),(225,1),(317,1),(326,1),(418,1),(538,1)}
       170:{2,5,6}:{(128,1),(129,1),(214,1),(217,1)}
       171:{1,4,6}:{(129,1),(130,1),(206,1),(217,1)}
       172:{1,2,4,5,7}:{(130,1),(137,1),(207,1),(218,1),(219,1),(247,1),(307,1),(309,1),(315,1),(340,1),(399,1),(405,1),(414,1),(419,1),(505,1),(507,1)}
       173:{3,5,6,7}:{(131,1),(132,1),(220,1),(420,1),(499,1)}
       174:{3,4,5,7}:{(132,1),(134,1),(220,1),(222,1),(422,1),(499,1)}
       175:{2,3,5,7}:{(132,1),(133,1),(135,1),(140,1),(214,1),(222,1),(223,1),(499,1),(503,1),(537,1)}
       176:{1,3,4,6,7}:{(133,1),(136,1),(141,1),(215,1),(223,1),(224,1),(234,1),(239,1),(316,1),(321,1),(329,1),(334,1),(398,1),(409,1),(414,1),(420,1),(422,1),(502,1),(536,1)}
       177:{2,4,5,6}:{(134,1),(135,1),(222,1),(225,1),(327,1)}
       178:{1,3,5,6}:{(135,1),(136,1),(143,1),(217,1),(223,1),(225,1),(226,1),(326,1),(541,1),(551,1)}
       179:{2,4,6}:{(136,1),(137,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(137,1),(145,1),(219,1),(227,1),(228,1),(248,1),(328,1),(341,1),(407,1),(480,1)}
       181:{1,3,4,6,7}:{(138,1),(139,1),(220,1),(229,1),(321,1),(329,1),(420,1)}
       182:{2,5,6,7}:{(138,1),(140,1),(229,1),(230,1),(503,1)}
       183:{2,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(229,1),(231,1),(232,1),(332,1),(431,1),(503,1)}
       184:{1,5,7}:{(140,1),(141,1),(143,1)}
       185:{1,2,4,6,7}:{(141,1),(144,1),(148,1),(224,1),(233,1),(234,1),(240,1),(334,1),(479,1),(489,1),(536,1)}
       186:{2,3,5,6}:{(142,1),(149,1),(231,1),(235,1),(326,1)}
       187:{1,4,5,6}:{(142,1),(143,1),(150,1),(232,1),(235,1),(434,1),(541,1)}
       188:{1,2,5,6}:{(143,1),(144,1),(226,1),(233,1),(237,1),(246,1),(551,1)}
       189:{1,3,6}:{(144,1),(145,1),(227,1)}
       190:{1,3,4,7}:{(145,1),(153,1),(228,1),(238,1),(249,1),(334,1),(488,1)}
       191:{2,3,4,7}:{(146,1),(149,1),(231,1),(239,1),(341,1),(422,1),(431,1)}
       192:{1,4,7}:{(146,1),(147,1),(150,1)}
       193:{1,2,5,7}:{(147,1),(148,1),(151,1),(240,1),(332,1)}
       194:{1,2,3,6,7}:{(148,1),(152,1),(234,1),(241,1),(242,1),(427,1),(439,1),(530,1)}
       195:{1,3,4,6}:{(149,1),(150,1),(154,1),(235,1),(239,1),(243,1),(244,1),(345,1),(434,1)}
       196:{1,2,4,6}:{(150,1),(151,1),(155,1),(240,1),(243,1),(244,1)}
       197:{1,2,3,5,6}:{(151,1),(152,1),(156,1),(237,1),(241,1),(244,1),(245,1),(246,1),(337,1),(344,1),(347,1),(439,1)}
       198:{1,2,4,6}:{(152,1),(153,1),(238,1),(246,1)}
       199:{2,4,5}:{(154,1),(243,1),(248,1)}
       200:{1,3,5}:{(155,1),(244,1),(248,1),(249,1)}
       201:{1,2,4}:{(156,1),(249,1)}
       202:{1,3,5,7}:{(157,1),(158,1),(159,1),(250,1),(251,1),(374,1),(509,1)}
       203:{2,3,6,7}:{(158,1),(160,1),(168,1),(251,1),(252,1),(452,1)}
       204:{1,3,4,6}:{(159,1),(162,1),(250,1),(253,1),(288,1),(377,1)}
       205:{2,3,5,6}:{(159,1),(160,1),(163,1),(170,1),(251,1),(253,1),(254,1),(368,1),(447,1)}
       206:{1,3,6}:{(160,1),(161,1),(171,1),(255,1)}
       207:{1,2,5,7}:{(161,1),(165,1),(255,1),(259,1)}
       208:{2,4,5}:{(162,1),(163,1),(253,1),(258,1)}
       209:{1,3,5}:{(163,1),(164,1),(258,1),(259,1)}
       210:{1,2,4,6}:{(164,1),(165,1),(255,1),(259,1),(260,1),(360,1)}
       211:{1,2,3,7}:{(165,1),(260,1),(443,1)}
       212:{1,3,5,6,7}:{(166,1),(167,1),(173,1),(261,1),(262,1),(519,1)}
       213:{1,3,4,5,7}:{(167,1),(169,1),(174,1),(250,1),(261,1),(263,1),(273,1),(364,1),(374,1),(457,1),(519,1)}
       214:{2,5,7}:{(167,1),(168,1),(170,1),(264,1)}
       215:{1,4,6,7}:{(168,1),(171,1),(252,1),(264,1),(351,1)}
       216:{2,4,5,6}:{(169,1),(170,1),(253,1),(263,1),(266,1),(267,1),(368,1),(461,1),(547,1)}
       217:{1,5,6}:{(170,1),(171,1),(264,1)}
       218:{1,2,4,6}:{(171,1),(172,1),(179,1),(255,1),(268,1),(269,1),(370,1),(528,1),(529,1)}
       219:{1,3,5,7}:{(172,1),(180,1),(269,1),(270,1),(298,1),(359,1),(371,1),(390,1),(443,1)}
       220:{3,4,6,7}:{(173,1),(174,1),(271,1)}
       221:{2,3,5,6,7}:{(173,1),(175,1),(182,1),(262,1),(271,1),(272,1),(279,1),(361,1)}
       222:{2,4,5,7}:{(174,1),(175,1),(177,1),(271,1),(273,1),(375,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(184,1),(264,1),(273,1),(274,1),(374,1),(526,1),(546,1)}
       224:{2,4,6,7}:{(176,1),(179,1),(274,1),(275,1),(290,1),(375,1),(379,1),(442,1),(452,1)}
       225:{1,4,5,6}:{(177,1),(178,1),(273,1),(276,1),(288,1),(370,1)}
       226:{2,5,6}:{(178,1),(179,1),(274,1)}
       227:{2,3,6}:{(179,1),(180,1),(189,1),(269,1)}
       228:{2,3,4,7}:{(180,1),(190,1),(270,1),(278,1),(299,1),(375,1),(451,1)}
       229:{2,4,6,7}:{(181,1),(182,1),(183,1),(279,1),(280,1),(379,1)}
       230:{1,5,6,7}:{(182,1),(184,1),(280,1),(526,1)}
       231:{2,3,5,7}:{(183,1),(186,1),(191,1),(279,1),(282,1),(374,1)}
       232:{1,4,5,7}:{(183,1),(184,1),(187,1),(192,1),(280,1),(282,1),(471,1),(526,1)}
       233:{1,2,5,7}:{(184,1),(185,1),(188,1),(274,1),(284,1),(546,1)}
       234:{1,3,6,7}:{(185,1),(189,1),(275,1),(284,1),(291,1),(509,1)}
       235:{1,3,5,6}:{(186,1),(187,1),(195,1),(282,1),(286,1)}
       236:{1,2,4,5,6}:{(187,1),(188,1),(196,1),(276,1),(283,1),(286,1),(287,1),(288,1),(297,1),(388,1),(393,1),(470,1),(527,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(277,1),(284,1),(288,1),(289,1)}
       238:{1,3,4,6}:{(189,1),(190,1),(198,1),(278,1),(288,1),(289,1)}
       239:{1,3,4,7}:{(191,1),(192,1),(195,1),(282,1),(290,1),(291,1),(390,1),(471,1)}
       240:{1,2,4,7}:{(192,1),(193,1),(196,1),(290,1),(291,1)}
       241:{1,2,3,5,7}:{(193,1),(194,1),(197,1),(284,1),(291,1),(292,1),(293,1),(383,1),(392,1)}
       242:{1,2,4,6,7}:{(194,1),(198,1),(285,1),(292,1),(293,1),(393,1),(468,1),(542,1),(552,1)}
       243:{2,4,6}:{(195,1),(199,1),(286,1),(290,1),(295,1)}
       244:{1,3,6}:{(196,1),(200,1),(291,1),(295,1)}
       245:{1,2,4,6}:{(197,1),(201,1),(288,1),(292,1),(296,1),(297,1),(388,1)}
       246:{1,2,5}:{(198,1),(289,1)}
       247:{1,2,4,5}:{(199,1),(294,1),(298,1),(397,1),(474,1),(478,1)}
       248:{2,3,5}:{(199,1),(200,1),(295,1),(298,1),(299,1)}
       249:{1,3,4}:{(200,1),(201,1),(299,1)}
       250:{1,3,4,7}:{(202,1),(204,1),(300,1),(334,1),(422,1)}
       251:{2,3,5,7}:{(202,1),(203,1),(205,1),(214,1),(300,1),(301,1),(412,1),(480,1)}
       252:{1,3,6,7}:{(203,1),(206,1),(215,1),(301,1),(302,1)}
       253:{2,4,6}:{(204,1),(205,1),(208,1),(300,1),(304,1)}
       254:{1,3,5,6}:{(205,1),(206,1),(209,1),(217,1),(301,1),(304,1),(305,1),(403,1)}
       255:{1,2,6}:{(206,1),(207,1)}
       256:{1,2,3,5,7}:{(207,1),(211,1),(219,1),(306,1),(307,1),(310,1),(348,1),(405,1),(436,1),(507,1)}
       257:{2,3,4,5}:{(208,1),(303,1),(308,1),(407,1),(425,1),(498,1)}
       258:{1,4,5}:{(208,1),(209,1),(304,1)}
       259:{1,2,5}:{(209,1),(210,1)}
       260:{1,2,3,6}:{(210,1),(211,1),(310,1),(403,1)}
       261:{1,3,4,6,7}:{(212,1),(213,1),(220,1),(311,1),(321,1),(409,1),(420,1)}
       262:{2,5,6,7}:{(212,1),(214,1),(311,1),(312,1),(537,1)}
       263:{2,4,5,7}:{(213,1),(214,1),(216,1),(300,1),(311,1),(313,1),(314,1),(412,1),(494,1),(537,1)}
       264:{1,5,7}:{(214,1),(215,1),(217,1)}
       265:{1,2,4,6,7}:{(215,1),(218,1),(224,1),(302,1),(315,1),(316,1),(340,1),(399,1),(414,1),(426,1),(502,1)}
       266:{2,3,5,6}:{(216,1),(303,1),(313,1),(317,1),(326,1)}
       267:{1,4,5,6}:{(216,1),(217,1),(304,1),(314,1),(317,1),(497,1),(551,1)}
       268:{1,2,5,6}:{(217,1),(218,1),(226,1),(315,1),(319,1),(405,1),(541,1)}
       269:{1,3,6}:{(218,1),(219,1),(227,1)}
       270:{1,3,4,7}:{(219,1),(228,1),(307,1),(320,1),(349,1),(408,1),(414,1)}
       271:{2,4,6,7}:{(220,1),(221,1),(222,1),(321,1)}
       272:{1,3,5,6,7}:{(221,1),(223,1),(230,1),(312,1),(321,1),(322,1),(329,1),(409,1),(420,1)}
       273:{1,4,5,7}:{(222,1),(223,1),(225,1),(321,1),(323,1),(334,1),(414,1)}
       274:{2,5,7}:{(223,1),(224,1),(226,1)}
       275:{2,3,6,7}:{(224,1),(227,1),(234,1),(316,1),(324,1),(341,1),(420,1),(480,1)}
       276:{2,4,5,6}:{(225,1),(226,1),(323,1),(326,1),(327,1)}
       277:{2,3,5,6}:{(226,1),(227,1),(237,1),(319,1),(324,1),(326,1),(327,1),(328,1)}
       278:{2,3,4,6}:{(227,1),(228,1),(238,1),(320,1),(327,1),(328,1)}
       279:{2,3,6,7}:{(229,1),(231,1),(329,1),(420,1)}
       280:{1,4,6,7}:{(229,1),(230,1),(232,1),(329,1)}
       281:{1,2,5,6,7}:{(230,1),(233,1),(322,1),(330,1),(331,1),(344,1),(489,1),(503,1)}
       282:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(329,1),(332,1)}
       283:{1,2,4,5,7}:{(232,1),(233,1),(236,1),(240,1),(323,1),(330,1),(332,1),(333,1),(334,1),(429,1),(431,1),(503,1)}
       284:{1,3,5,7}:{(233,1),(234,1),(237,1),(324,1),(334,1)}
       285:{1,3,4,6,7}:{(234,1),(238,1),(242,1),(325,1),(334,1),(335,1),(342,1),(433,1),(439,1),(531,1),(536,1),(550,1)}
       286:{2,5,6}:{(235,1),(243,1),(332,1)}
       287:{1,3,5,6}:{(236,1),(244,1),(326,1),(333,1),(337,1),(338,1),(347,1),(439,1)}
       288:{1,4,6}:{(237,1),(327,1),(334,1),(339,1)}
       289:{1,3,5}:{(238,1),(246,1),(328,1),(339,1)}
       290:{2,4,7}:{(239,1),(243,1),(332,1),(341,1)}
       291:{1,3,7}:{(240,1),(244,1),(341,1)}
       292:{1,2,4,7}:{(241,1),(245,1),(334,1),(342,1),(431,1)}
       293:{1,2,5,7}:{(242,1),(246,1),(335,1),(344,1),(503,1)}
       294:{1,2,4,6}:{(243,1),(247,1),(336,1),(340,1),(345,1),(434,1)}
       295:{2,3,6}:{(243,1),(244,1),(248,1),(341,1),(345,1)}
       296:{1,3,4,6}:{(244,1),(245,1),(249,1),(342,1),(346,1),(347,1),(439,1)}
       297:{1,2,4,5}:{(245,1),(246,1),(339,1),(347,1),(435,1)}
       298:{1,3,5}:{(247,1),(248,1),(345,1),(349,1)}
       299:{2,3,4}:{(248,1),(249,1),(349,1)}
       300:{2,4,7}:{(250,1),(251,1),(253,1),(351,1)}
       301:{1,3,5,7}:{(251,1),(252,1),(254,1),(264,1),(351,1),(352,1),(443,1)}
       302:{1,2,6,7}:{(252,1),(255,1),(352,1),(452,1)}
       303:{2,3,4,6}:{(253,1),(257,1),(266,1),(350,1),(354,1),(377,1),(447,1),(461,1)}
       304:{1,4,6}:{(253,1),(254,1),(258,1),(351,1)}
       305:{1,2,5,6}:{(254,1),(255,1),(259,1),(352,1),(355,1),(368,1)}
       306:{1,2,3,6}:{(255,1),(256,1),(269,1),(357,1),(529,1)}
       307:{1,2,4,7}:{(256,1),(270,1),(357,1),(360,1),(397,1)}
       308:{1,3,4,5}:{(257,1),(258,1),(354,1),(358,1),(359,1),(450,1),(524,1)}
       309:{1,2,4,5}:{(258,1),(259,1),(355,1),(358,1),(359,1),(360,1)}
       310:{1,2,3,5}:{(259,1),(260,1),(359,1),(360,1)}
       311:{2,4,6,7}:{(261,1),(262,1),(263,1),(361,1),(362,1),(452,1)}
       312:{1,5,6,7}:{(262,1),(264,1),(362,1),(546,1)}
       313:{2,3,5,7}:{(263,1),(266,1),(350,1),(361,1),(364,1),(374,1)}
       314:{1,4,5,7}:{(263,1),(264,1),(267,1),(351,1),(362,1),(364,1),(521,1),(546,1)}
       315:{1,2,5,7}:{(264,1),(265,1),(268,1),(274,1),(366,1),(526,1)}
       316:{1,3,6,7}:{(265,1),(269,1),(275,1),(366,1),(390,1),(443,1)}
       317:{1,3,5,6}:{(266,1),(267,1),(354,1),(364,1),(368,1)}
       318:{1,2,4,5,6}:{(267,1),(268,1),(276,1),(355,1),(365,1),(368,1),(369,1),(370,1),(449,1),(461,1),(512,1),(520,1),(547,1)}
       319:{1,3,5,6}:{(268,1),(269,1),(277,1),(366,1),(370,1),(371,1)}
       320:{1,3,4,6}:{(269,1),(270,1),(278,1),(357,1),(370,1),(371,1)}
       321:{1,4,6,7}:{(271,1),(272,1),(273,1),(372,1)}
       322:{2,5,6,7}:{(272,1),(274,1),(372,1),(379,1),(452,1)}
       323:{2,4,5,7}:{(273,1),(274,1),(276,1),(372,1),(374,1),(375,1)}
       324:{2,3,5,7}:{(274,1),(275,1),(277,1),(284,1),(366,1),(374,1),(375,1)}
       325:{2,3,4,6,7}:{(275,1),(278,1),(285,1),(367,1),(375,1),(376,1),(391,1),(463,1),(466,1),(468,1),(477,1),(510,1),(518,1),(544,1)}
       326:{3,5,6}:{(276,1),(374,1),(377,1)}
       327:{2,4,6}:{(277,1),(288,1),(370,1),(375,1),(377,1),(378,1)}
       328:{2,3,5}:{(278,1),(289,1),(371,1),(378,1)}
       329:{1,3,6,7}:{(279,1),(280,1),(282,1),(379,1)}
       330:{1,2,4,6,7}:{(280,1),(281,1),(283,1),(372,1),(379,1),(380,1),(381,1),(393,1),(468,1)}
       331:{1,3,5,6,7}:{(281,1),(284,1),(373,1),(380,1),(381,1),(386,1),(469,1),(517,1),(546,1)}
       332:{2,5,7}:{(282,1),(286,1),(290,1),(379,1)}
       333:{1,3,5,7}:{(283,1),(287,1),(291,1),(374,1),(380,1),(383,1),(384,1)}
       334:{1,4,7}:{(284,1),(288,1),(375,1)}
       335:{1,3,5,7}:{(285,1),(289,1),(293,1),(376,1),(385,1),(386,1),(546,1)}
       336:{1,2,5,6}:{(286,1),(294,1),(382,1),(387,1),(478,1),(529,1)}
       337:{2,3,5,6}:{(286,1),(287,1),(295,1),(383,1),(387,1),(388,1),(396,1),(477,1),(527,1)}
       338:{1,3,4,6}:{(287,1),(288,1),(377,1),(384,1),(388,1),(389,1)}
       339:{1,4,5}:{(288,1),(289,1),(378,1)}
       340:{1,2,4,7}:{(290,1),(294,1),(382,1),(390,1),(471,1)}
       341:{2,3,7}:{(290,1),(291,1),(295,1),(390,1)}
       342:{1,3,4,7}:{(291,1),(292,1),(296,1),(391,1),(392,1)}
       343:{1,2,4,5,7}:{(292,1),(293,1),(297,1),(385,1),(392,1),(393,1),(472,1)}
       344:{1,2,5,6}:{(293,1),(386,1),(393,1),(527,1),(552,1)}
       345:{1,3,6}:{(294,1),(295,1),(298,1),(390,1)}
       346:{2,3,4,6}:{(295,1),(296,1),(299,1),(388,1),(391,1),(395,1),(396,1),(477,1)}
       347:{1,3,5}:{(296,1),(297,1),(396,1)}
       348:{1,2,3,5}:{(298,1),(394,1),(397,1),(478,1)}
       349:{1,3,4}:{(298,1),(299,1),(397,1)}
       350:{2,3,4,7}:{(300,1),(303,1),(313,1),(398,1),(422,1),(480,1),(494,1)}
       351:{1,4,7}:{(300,1),(301,1),(304,1)}
       352:{1,2,5,7}:{(301,1),(302,1),(305,1),(399,1),(412,1)}
       353:{1,2,3,6,7}:{(302,1),(306,1),(316,1),(400,1),(401,1),(436,1),(490,1),(533,1)}
       354:{1,3,4,6}:{(303,1),(304,1),(308,1),(317,1),(398,1),(402,1),(403,1),(484,1),(497,1)}
       355:{1,2,4,6}:{(304,1),(305,1),(309,1),(399,1),(402,1),(403,1)}
       356:{1,2,3,5,6}:{(305,1),(306,1),(310,1),(319,1),(400,1),(403,1),(404,1),(405,1),(417,1),(483,1),(486,1),(533,1)}
       357:{1,2,4,6}:{(306,1),(307,1),(320,1),(405,1)}
       358:{2,4,5}:{(308,1),(402,1),(407,1)}
       359:{1,3,5}:{(309,1),(403,1),(407,1),(408,1)}
       360:{1,2,4}:{(310,1),(408,1)}
       361:{2,3,6,7}:{(311,1),(313,1),(409,1),(420,1)}
       362:{1,4,6,7}:{(311,1),(312,1),(314,1),(409,1)}
       363:{1,2,5,6,7}:{(312,1),(315,1),(322,1),(410,1),(411,1),(426,1),(483,1),(537,1)}
       364:{1,3,5,7}:{(313,1),(314,1),(317,1),(398,1),(409,1),(412,1)}
       365:{1,2,4,5,7}:{(314,1),(315,1),(318,1),(323,1),(399,1),(410,1),(412,1),(413,1),(414,1),(492,1),(494,1),(537,1)}
       366:{1,3,5,7}:{(315,1),(316,1),(319,1),(324,1),(414,1)}
       367:{1,3,4,6,7}:{(316,1),(320,1),(325,1),(401,1),(414,1),(415,1),(437,1),(481,1),(496,1),(502,1),(508,1),(533,1)}
       368:{2,5,6}:{(317,1),(402,1),(412,1)}
       369:{1,3,5,6}:{(318,1),(326,1),(403,1),(413,1),(417,1),(418,1),(486,1),(533,1)}
       370:{1,4,6}:{(319,1),(327,1),(414,1),(419,1)}
       371:{1,3,5}:{(320,1),(328,1),(405,1),(419,1)}
       372:{2,4,6,7}:{(321,1),(322,1),(323,1),(420,1)}
       373:{2,3,5,6,7}:{(322,1),(324,1),(331,1),(411,1),(420,1),(421,1),(424,1),(427,1),(490,1),(499,1),(503,1),(537,1)}
       374:{3,5,7}:{(323,1),(326,1),(420,1),(422,1)}
       375:{2,4,7}:{(324,1),(327,1),(334,1),(414,1),(422,1)}
       376:{2,3,5,7}:{(325,1),(328,1),(335,1),(415,1),(423,1),(424,1),(499,1),(503,1),(537,1)}
       377:{3,4,6}:{(326,1),(327,1),(422,1),(425,1)}
       378:{2,4,5}:{(327,1),(328,1),(339,1),(419,1),(425,1)}
       379:{2,6,7}:{(329,1),(332,1)}
       380:{1,3,6,7}:{(330,1),(333,1),(420,1),(427,1),(439,1)}
       381:{1,4,6,7}:{(331,1),(334,1),(421,1),(429,1),(433,1)}
       382:{1,2,5,7}:{(332,1),(336,1),(340,1),(426,1),(430,1)}
       383:{2,3,5,7}:{(332,1),(333,1),(337,1),(341,1),(427,1),(430,1),(431,1),(503,1)}
       384:{1,3,4,7}:{(333,1),(334,1),(338,1),(422,1),(431,1)}
       385:{1,4,5,7}:{(334,1),(335,1),(339,1),(423,1),(433,1)}
       386:{1,3,5,6}:{(335,1),(344,1),(424,1),(433,1),(439,1),(550,1),(551,1)}
       387:{1,3,5,6}:{(336,1),(337,1),(345,1),(430,1),(434,1),(441,1),(508,1),(541,1)}
       388:{2,4,6}:{(337,1),(338,1),(431,1),(434,1),(435,1)}
       389:{1,3,4,5}:{(338,1),(339,1),(347,1),(425,1),(435,1)}
       390:{1,3,7}:{(340,1),(341,1),(345,1)}
       391:{2,3,4,7}:{(341,1),(342,1),(346,1),(431,1),(437,1),(438,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(347,1),(438,1),(439,1)}
       393:{1,2,4,6}:{(343,1),(344,1),(433,1),(439,1),(506,1)}
       394:{1,2,3,6}:{(345,1),(348,1),(436,1),(440,1)}
       395:{1,3,4,6}:{(345,1),(346,1),(349,1),(434,1),(437,1),(440,1),(441,1),(508,1)}
       396:{2,3,5}:{(346,1),(347,1),(435,1),(441,1)}
       397:{1,2,4}:{(348,1),(349,1)}
       398:{1,3,4,7}:{(350,1),(351,1),(354,1),(364,1),(442,1),(443,1),(509,1),(521,1)}
       399:{1,2,4,7}:{(351,1),(352,1),(355,1),(442,1),(443,1)}
       400:{1,2,3,5,7}:{(352,1),(353,1),(356,1),(366,1),(443,1),(444,1),(445,1),(456,1),(511,1)}
       401:{1,2,4,6,7}:{(353,1),(357,1),(367,1),(444,1),(445,1),(475,1),(512,1),(518,1),(529,1)}
       402:{2,4,6}:{(354,1),(358,1),(368,1),(442,1),(447,1)}
       403:{1,3,6}:{(355,1),(359,1),(443,1),(447,1)}
       404:{1,2,4,6}:{(356,1),(360,1),(370,1),(444,1),(448,1),(449,1),(461,1)}
       405:{1,2,5}:{(357,1),(371,1)}
       406:{1,2,4,5}:{(358,1),(446,1),(450,1),(516,1),(524,1),(545,1)}
       407:{2,3,5}:{(358,1),(359,1),(447,1),(450,1),(451,1)}
       408:{1,3,4}:{(359,1),(360,1),(451,1)}
       409:{1,3,6,7}:{(361,1),(362,1),(364,1),(452,1)}
       410:{1,2,4,6,7}:{(362,1),(363,1),(365,1),(372,1),(452,1),(453,1),(454,1),(512,1),(518,1)}
       411:{1,3,5,6,7}:{(363,1),(366,1),(373,1),(453,1),(454,1),(459,1),(467,1),(519,1),(526,1)}
       412:{2,5,7}:{(364,1),(368,1),(442,1),(452,1)}
       413:{1,3,5,7}:{(365,1),(369,1),(374,1),(443,1),(453,1),(456,1),(457,1)}
       414:{1,4,7}:{(366,1),(370,1),(375,1)}
       415:{1,3,5,7}:{(367,1),(371,1),(376,1),(445,1),(458,1),(459,1),(526,1)}
       416:{1,2,5,6}:{(368,1),(446,1),(455,1),(460,1),(545,1),(552,1)}
       417:{2,3,5,6}:{(368,1),(369,1),(447,1),(456,1),(460,1),(461,1),(515,1),(544,1),(547,1)}
       418:{1,3,4,6}:{(369,1),(370,1),(377,1),(457,1),(461,1),(462,1)}
       419:{1,4,5}:{(370,1),(371,1),(378,1)}
       420:{3,6,7}:{(372,1),(374,1)}
       421:{2,4,6,7}:{(373,1),(375,1),(381,1),(454,1),(463,1),(464,1),(466,1)}
       422:{3,4,7}:{(374,1),(375,1),(377,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(378,1),(385,1),(458,1),(465,1),(466,1)}
       424:{2,3,5,6}:{(376,1),(386,1),(459,1),(466,1),(477,1),(525,1),(527,1),(544,1),(547,1)}
       425:{3,4,5}:{(377,1),(378,1)}
       426:{1,2,6,7}:{(379,1),(382,1),(467,1),(529,1)}
       427:{2,3,6,7}:{(379,1),(380,1),(383,1),(467,1),(468,1),(477,1)}
       428:{1,3,4,6,7}:{(380,1),(381,1),(384,1),(463,1),(468,1),(469,1),(473,1)}
       429:{1,4,5,7}:{(381,1),(464,1),(469,1),(470,1),(546,1)}
       430:{1,3,5,7}:{(382,1),(383,1),(387,1),(390,1),(467,1),(471,1),(526,1)}
       431:{2,4,7}:{(383,1),(384,1),(388,1),(471,1)}
       432:{1,3,4,5,7}:{(384,1),(385,1),(389,1),(392,1),(465,1),(469,1),(472,1),(473,1)}
       433:{1,4,6}:{(385,1),(386,1),(466,1)}
       434:{1,4,6}:{(387,1),(388,1),(471,1),(474,1)}
       435:{2,4,5}:{(388,1),(389,1),(396,1),(474,1)}
       436:{1,2,3,7}:{(390,1),(394,1),(475,1)}
       437:{1,3,4,7}:{(390,1),(391,1),(395,1),(471,1),(475,1),(476,1)}
       438:{2,3,5,7}:{(391,1),(392,1),(396,1),(472,1),(476,1),(477,1)}
       439:{1,3,6}:{(392,1),(393,1),(477,1)}
       440:{1,2,4,6}:{(394,1),(395,1),(397,1),(475,1),(478,1),(529,1)}
       441:{1,3,5}:{(395,1),(396,1),(474,1),(478,1)}
       442:{2,4,7}:{(398,1),(402,1),(412,1),(480,1)}
       443:{1,3,7}:{(399,1),(403,1),(480,1)}
       444:{1,2,4,7}:{(400,1),(404,1),(414,1),(481,1),(494,1)}
       445:{1,2,5,7}:{(401,1),(405,1),(415,1),(483,1),(537,1)}
       446:{1,2,4,6}:{(402,1),(406,1),(416,1),(479,1),(484,1),(497,1)}
       447:{2,3,6}:{(402,1),(403,1),(407,1),(480,1),(484,1)}
       448:{1,3,4,6}:{(403,1),(404,1),(408,1),(481,1),(485,1),(486,1),(533,1)}
       449:{1,2,4,5}:{(404,1),(405,1),(419,1),(486,1),(498,1)}
       450:{1,3,5}:{(406,1),(407,1),(484,1),(488,1)}
       451:{2,3,4}:{(407,1),(408,1),(488,1)}
       452:{2,6,7}:{(409,1),(412,1)}
       453:{1,3,6,7}:{(410,1),(413,1),(420,1),(490,1),(533,1)}
       454:{1,4,6,7}:{(411,1),(414,1),(421,1),(492,1),(496,1)}
       455:{1,2,5,7}:{(412,1),(416,1),(479,1),(489,1),(493,1)}
       456:{2,3,5,7}:{(412,1),(413,1),(417,1),(480,1),(490,1),(493,1),(494,1),(537,1)}
       457:{1,3,4,7}:{(413,1),(414,1),(418,1),(422,1),(494,1)}
       458:{1,4,5,7}:{(414,1),(415,1),(419,1),(423,1),(496,1)}
       459:{1,3,5,6}:{(415,1),(424,1),(483,1),(496,1),(508,1),(533,1),(541,1)}
       460:{1,3,5,6}:{(416,1),(417,1),(484,1),(493,1),(497,1),(535,1),(550,1),(551,1)}
       461:{2,4,6}:{(417,1),(418,1),(494,1),(497,1),(498,1)}
       462:{1,3,4,5}:{(418,1),(419,1),(425,1),(486,1),(498,1)}
       463:{3,4,6,7}:{(420,1),(421,1),(422,1),(499,1),(501,1)}
       464:{2,4,5,7}:{(421,1),(429,1),(492,1),(499,1),(500,1),(503,1),(537,1)}
       465:{3,4,5,7}:{(422,1),(423,1),(425,1),(499,1),(501,1)}
       466:{2,4,6}:{(423,1),(424,1),(433,1),(496,1),(501,1)}
       467:{1,3,6,7}:{(426,1),(427,1),(430,1),(502,1),(508,1)}
       468:{2,4,6,7}:{(427,1),(428,1),(431,1),(502,1),(503,1),(506,1)}
       469:{1,3,5,7}:{(428,1),(429,1),(499,1),(503,1),(504,1)}
       470:{1,4,5,6}:{(429,1),(433,1),(500,1),(504,1),(551,1)}
       471:{1,4,7}:{(430,1),(431,1),(434,1)}
       472:{2,4,5,7}:{(431,1),(432,1),(435,1),(438,1),(503,1),(505,1),(506,1)}
       473:{1,3,4,6}:{(432,1),(433,1),(439,1),(501,1),(504,1),(506,1)}
       474:{1,4,5}:{(434,1),(435,1),(441,1)}
       475:{1,2,4,7}:{(436,1),(437,1),(440,1),(507,1)}
       476:{1,3,5,7}:{(437,1),(438,1),(441,1),(505,1),(507,1),(508,1)}
       477:{2,3,6}:{(438,1),(439,1),(506,1),(508,1)}
       478:{1,2,5}:{(440,1),(441,1)}
       479:{1,2,4,7}:{(442,1),(446,1),(455,1),(509,1),(521,1)}
       480:{2,3,7}:{(442,1),(443,1),(447,1),(509,1)}
       481:{1,3,4,7}:{(443,1),(444,1),(448,1),(510,1),(511,1)}
       482:{1,2,4,5,7}:{(444,1),(445,1),(449,1),(458,1),(511,1),(512,1),(522,1)}
       483:{1,2,5,6}:{(445,1),(459,1),(512,1),(529,1),(547,1)}
       484:{1,3,6}:{(446,1),(447,1),(450,1),(509,1)}
       485:{2,3,4,6}:{(447,1),(448,1),(451,1),(461,1),(510,1),(514,1),(515,1),(544,1)}
       486:{1,3,5}:{(448,1),(449,1),(515,1)}
       487:{1,2,3,5}:{(450,1),(513,1),(516,1),(545,1)}
       488:{1,3,4}:{(450,1),(451,1),(516,1)}
       489:{1,2,6,7}:{(452,1),(455,1),(517,1),(552,1)}
       490:{2,3,6,7}:{(452,1),(453,1),(456,1),(517,1),(518,1),(544,1)}
       491:{1,3,4,6,7}:{(453,1),(454,1),(457,1),(463,1),(518,1),(519,1),(523,1)}
       492:{1,4,5,7}:{(454,1),(464,1),(519,1),(520,1),(526,1)}
       493:{1,3,5,7}:{(455,1),(456,1),(460,1),(509,1),(517,1),(521,1),(546,1)}
       494:{2,4,7}:{(456,1),(457,1),(461,1),(521,1)}
       495:{1,3,4,5,7}:{(457,1),(458,1),(462,1),(465,1),(511,1),(519,1),(522,1),(523,1)}
       496:{1,4,6}:{(458,1),(459,1),(466,1)}
       497:{1,4,6}:{(460,1),(461,1),(521,1),(524,1)}
       498:{2,4,5}:{(461,1),(462,1),(515,1),(524,1)}
       499:{3,5,7}:{(463,1),(464,1),(525,1)}
       500:{2,4,5,6}:{(464,1),(466,1),(470,1),(520,1),(525,1),(527,1),(547,1)}
       501:{3,4,6}:{(465,1),(466,1),(525,1)}
       502:{1,4,6,7}:{(467,1),(468,1),(471,1),(526,1),(528,1)}
       503:{2,5,7}:{(468,1),(469,1),(526,1),(527,1)}
       504:{1,3,5,6}:{(469,1),(470,1),(473,1),(525,1),(527,1)}
       505:{1,4,5,7}:{(471,1),(472,1),(474,1),(476,1),(526,1),(528,1)}
       506:{2,4,6}:{(472,1),(473,1),(477,1),(527,1),(528,1)}
       507:{1,2,5,7}:{(475,1),(476,1),(478,1),(529,1)}
       508:{1,3,6}:{(476,1),(477,1),(528,1),(529,1)}
       509:{1,3,7}:{(479,1),(480,1),(484,1)}
       510:{2,3,4,7}:{(480,1),(481,1),(485,1),(494,1),(531,1),(532,1)}
       511:{1,3,5,7}:{(481,1),(482,1),(486,1),(532,1),(533,1)}
       512:{1,2,4,6}:{(482,1),(483,1),(496,1),(533,1),(540,1)}
       513:{1,2,3,6}:{(484,1),(487,1),(530,1),(534,1)}
       514:{1,3,4,6}:{(484,1),(485,1),(488,1),(497,1),(531,1),(534,1),(535,1),(550,1)}
       515:{2,3,5}:{(485,1),(486,1),(498,1),(535,1)}
       516:{1,2,4}:{(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(493,1),(536,1),(550,1)}
       518:{2,4,6,7}:{(490,1),(491,1),(494,1),(536,1),(537,1),(540,1)}
       519:{1,3,5,7}:{(491,1),(492,1),(499,1),(537,1),(538,1)}
       520:{1,4,5,6}:{(492,1),(496,1),(500,1),(538,1),(541,1)}
       521:{1,4,7}:{(493,1),(494,1),(497,1)}
       522:{2,4,5,7}:{(494,1),(495,1),(498,1),(532,1),(537,1),(539,1),(540,1)}
       523:{1,3,4,6}:{(495,1),(496,1),(501,1),(533,1),(538,1),(540,1)}
       524:{1,4,5}:{(497,1),(498,1),(535,1)}
       525:{3,5,6}:{(499,1),(500,1),(501,1)}
       526:{1,5,7}:{(502,1),(503,1),(541,1)}
       527:{2,5,6}:{(503,1),(504,1),(506,1),(541,1)}
       528:{1,4,6}:{(505,1),(506,1),(508,1),(541,1)}
       529:{1,2,6}:{(507,1),(508,1)}
       530:{1,2,3,7}:{(509,1),(513,1),(542,1)}
       531:{1,3,4,7}:{(509,1),(510,1),(514,1),(521,1),(542,1),(543,1)}
       532:{2,3,5,7}:{(510,1),(511,1),(515,1),(522,1),(543,1),(544,1)}
       533:{1,3,6}:{(511,1),(512,1),(544,1)}
       534:{1,2,4,6}:{(513,1),(514,1),(516,1),(542,1),(545,1),(552,1)}
       535:{1,3,5}:{(514,1),(515,1),(524,1),(545,1)}
       536:{1,4,6,7}:{(517,1),(518,1),(521,1),(546,1),(548,1)}
       537:{2,5,7}:{(518,1),(519,1),(546,1),(547,1)}
       538:{1,3,5,6}:{(519,1),(520,1),(523,1),(525,1),(547,1)}
       539:{1,4,5,7}:{(521,1),(522,1),(524,1),(543,1),(546,1),(548,1)}
       540:{2,4,6}:{(522,1),(523,1),(544,1),(547,1),(548,1)}
       541:{1,5,6}:{(526,1),(527,1),(528,1)}
       542:{1,2,4,7}:{(530,1),(531,1),(534,1),(549,1)}
       543:{1,3,5,7}:{(531,1),(532,1),(535,1),(539,1),(549,1),(550,1)}
       544:{2,3,6}:{(532,1),(533,1),(540,1),(550,1)}
       545:{1,2,5}:{(534,1),(535,1)}
       546:{1,5,7}:{(536,1),(537,1),(551,1)}
       547:{2,5,6}:{(537,1),(538,1),(540,1),(551,1)}
       548:{1,4,6}:{(539,1),(540,1),(550,1),(551,1)}
       549:{1,2,5,7}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,3,6}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,5,6}:{(546,1),(547,1),(548,1)}
       552:{1,2,6}:{(549,1),(550,1)}

 981 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

 982 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(38,1),(149,1),(171,1)}
         5:{1,2,3,7}:{(1,1),(11,1),(36,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(10,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(20,1),(54,1),(57,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(19,1),(22,1),(174,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(21,1),(23,1),(40,1),(54,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(73,1),(76,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(33,1)}
        19:{1,3,4,7}:{(8,1),(11,1),(31,1),(35,1),(36,1),(77,1),(172,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,6}:{(10,1),(12,1),(34,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(38,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(37,1),(61,1),(77,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(92,1),(95,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{2,3,4,7}:{(16,1),(19,1),(48,1),(52,1),(53,1),(98,1),(165,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(18,1),(50,1),(54,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(102,1),(158,1),(164,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(22,1),(52,1),(55,1),(57,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,5,7}:{(21,1),(23,1),(56,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(22,1),(57,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(65,1),(110,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(113,1)}
        45:{1,2,3,7}:{(26,1),(66,1),(152,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,5}:{(28,1),(30,1),(65,1),(68,1)}
        48:{1,3,4,7}:{(28,1),(31,1),(66,1),(70,1),(71,1),(116,1),(152,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(30,1),(33,1),(68,1),(72,1),(73,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(34,1),(60,1),(69,1),(73,1),(75,1),(76,1),(105,1),(122,1),(144,1),(151,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(35,1),(70,1),(74,1),(76,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,6}:{(33,1),(34,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(33,1),(35,1),(74,1),(77,1),(78,1),(123,1)}
        56:{1,3,5,7}:{(34,1),(36,1),(37,1),(75,1),(77,1),(79,1),(123,1),(168,1),(172,1)}
        57:{1,3,6}:{(35,1),(38,1),(76,1),(78,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,5}:{(44,1),(47,1)}
        66:{1,2,4,7}:{(44,1),(45,1),(48,1),(89,1),(90,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(47,1),(50,1),(92,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(51,1),(80,1),(88,1),(92,1),(94,1),(95,1),(133,1),(140,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(52,1),(89,1),(93,1),(95,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(96,1)}
        73:{2,4,6}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1)}
        74:{2,4,5,7}:{(50,1),(52,1),(55,1),(93,1),(97,1),(98,1),(99,1),(143,1)}
        75:{2,3,5,7}:{(51,1),(53,1),(56,1),(83,1),(94,1),(98,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        76:{2,3,6}:{(52,1),(57,1),(95,1),(99,1)}
        77:{1,4,7}:{(54,1),(56,1),(98,1)}
        78:{1,4,6}:{(55,1),(57,1),(99,1),(102,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(101,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(73,1),(103,1),(105,1),(106,1),(122,1),(144,1),(157,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(65,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(65,1),(67,1),(69,1),(111,1),(112,1),(113,1),(144,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(70,1),(113,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,6}:{(68,1),(69,1),(73,1),(116,1)}
        93:{1,4,5,7}:{(68,1),(70,1),(74,1),(116,1),(117,1),(155,1)}
        94:{1,3,5,7}:{(69,1),(71,1),(75,1),(104,1),(112,1),(116,1),(118,1),(152,1),(155,1)}
        95:{1,3,6}:{(70,1),(76,1),(113,1),(117,1)}
        96:{3,4,6}:{(72,1),(73,1),(105,1),(119,1)}
        97:{3,4,5,7}:{(72,1),(74,1),(119,1),(120,1),(156,1)}
        98:{2,4,7}:{(73,1),(75,1),(77,1),(116,1),(119,1)}
        99:{2,4,6}:{(74,1),(76,1),(78,1),(117,1),(120,1),(122,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(121,1),(147,1),(169,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(121,1),(123,1)}
       102:{1,5,6}:{(78,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(92,1),(124,1),(125,1),(140,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(98,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(88,1),(92,1),(133,1),(134,1),(137,1)}
       112:{1,2,5,7}:{(88,1),(90,1),(94,1),(134,1),(135,1),(159,1)}
       113:{1,2,6}:{(89,1),(95,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(92,1),(96,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,7}:{(92,1),(94,1),(98,1)}
       117:{1,4,6}:{(93,1),(95,1),(99,1),(140,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(139,1)}
       119:{3,4,7}:{(96,1),(98,1),(127,1)}
       120:{3,4,6}:{(97,1),(99,1),(142,1)}
       121:{2,4,6,7}:{(98,1),(99,1),(100,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,5,6}:{(99,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(116,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(112,1),(116,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(116,1),(119,1),(145,1),(152,1),(154,1)}
       139:{1,4,6,7}:{(116,1),(117,1),(118,1),(121,1),(155,1)}
       140:{1,5,6}:{(117,1),(122,1),(155,1)}
       141:{3,4,6,7}:{(119,1),(120,1),(121,1),(147,1),(156,1),(170,1)}
       142:{3,5,6}:{(120,1),(122,1),(156,1),(157,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(156,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       157:{4,5,6}:{(142,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(156,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

 983 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(43,1),(117,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(6,1),(23,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(26,1),(141,1),(168,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(66,1)}
         4:{1,3,4,6}:{(2,1),(8,1),(9,1),(10,1),(11,1),(36,1),(39,1),(43,1),(118,1),(158,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{1,2,5}:{(2,1),(9,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(10,1),(14,1),(173,1)}
         8:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(22,1),(53,1),(56,1),(65,1),(92,1),(143,1)}
         9:{1,3,5}:{(4,1),(6,1),(17,1),(19,1)}
        10:{1,3,4,7}:{(4,1),(7,1),(18,1),(21,1),(60,1),(66,1),(169,1)}
        11:{1,3,4}:{(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(6,1),(19,1),(23,1),(24,1),(58,1)}
        13:{1,2,5,6}:{(6,1),(20,1),(24,1),(25,1),(26,1),(109,1),(168,1)}
        14:{1,2,5,7}:{(6,1),(7,1),(21,1),(26,1)}
        15:{1,2,3,6}:{(27,1),(28,1),(29,1),(40,1),(120,1)}
        16:{1,3,4,6}:{(8,1),(28,1),(30,1),(31,1),(41,1),(67,1),(72,1),(75,1),(90,1),(120,1)}
        17:{2,3,5}:{(8,1),(9,1),(30,1),(32,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(34,1),(79,1),(91,1),(159,1)}
        19:{1,4,5}:{(9,1),(32,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(13,1),(33,1),(36,1),(38,1),(39,1),(43,1),(88,1),(158,1),(160,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(14,1),(34,1),(37,1),(39,1)}
        22:{2,3,4}:{(11,1),(41,1),(42,1)}
        23:{1,3,5}:{(11,1),(12,1),(42,1),(43,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(36,1),(43,1),(44,1),(85,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(44,1),(45,1),(136,1),(173,1)}
        26:{1,2,6}:{(14,1),(39,1)}
        27:{1,2,3,5}:{(15,1),(46,1),(47,1),(93,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(46,1),(47,1),(48,1),(63,1),(96,1),(115,1)}
        29:{1,2,3,7}:{(15,1),(48,1),(144,1)}
        30:{1,3,5}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,3,4,7}:{(16,1),(18,1),(48,1),(51,1),(100,1),(116,1),(144,1)}
        32:{2,4,5}:{(17,1),(19,1),(49,1),(52,1),(53,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(50,1),(53,1),(55,1),(56,1),(65,1),(103,1),(108,1),(109,1),(143,1),(145,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(21,1),(51,1),(54,1),(56,1)}
        35:{1,3,4,5}:{(19,1),(23,1),(52,1),(58,1),(59,1)}
        36:{1,4,6}:{(19,1),(20,1),(53,1),(60,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(54,1),(60,1),(61,1),(114,1)}
        38:{1,3,5,7}:{(20,1),(25,1),(55,1),(60,1),(62,1),(66,1),(114,1),(169,1),(170,1)}
        39:{1,3,6}:{(21,1),(26,1),(56,1),(61,1)}
        40:{1,2,3}:{(63,1)}
        41:{1,3,4}:{(22,1),(63,1),(64,1)}
        42:{2,3,5}:{(22,1),(23,1),(58,1),(64,1),(65,1)}
        43:{1,3,6}:{(23,1),(24,1),(65,1),(66,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(60,1),(66,1),(113,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(62,1),(156,1)}
        46:{1,2,4}:{(27,1),(67,1)}
        47:{1,2,5}:{(28,1),(30,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(31,1),(70,1),(140,1)}
        49:{1,4,5}:{(30,1),(32,1),(72,1)}
        50:{1,3,5,6}:{(30,1),(33,1),(69,1),(72,1),(74,1),(75,1),(90,1),(120,1),(129,1),(135,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(70,1),(73,1),(75,1)}
        52:{3,4,5}:{(32,1),(77,1)}
        53:{2,4,6}:{(32,1),(33,1),(36,1),(72,1),(77,1),(79,1)}
        54:{2,4,5,7}:{(32,1),(34,1),(37,1),(73,1),(78,1),(79,1),(80,1),(134,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(74,1),(79,1),(81,1),(91,1),(130,1),(134,1),(136,1),(159,1),(161,1)}
        56:{2,3,6}:{(34,1),(39,1),(75,1),(80,1)}
        57:{1,4,5,6}:{(36,1),(76,1),(82,1),(83,1),(88,1),(160,1)}
        58:{2,4,5}:{(35,1),(42,1),(84,1),(85,1)}
        59:{1,3,4,6}:{(35,1),(36,1),(43,1),(77,1),(82,1),(85,1),(86,1)}
        60:{1,4,7}:{(36,1),(38,1),(79,1)}
        61:{1,4,6}:{(37,1),(39,1),(80,1),(88,1)}
        62:{1,3,6,7}:{(38,1),(39,1),(45,1),(81,1),(87,1),(174,1)}
        63:{1,2,4}:{(40,1),(41,1),(89,1)}
        64:{1,3,5}:{(41,1),(42,1),(84,1),(89,1),(90,1)}
        65:{2,3,6}:{(42,1),(43,1),(85,1),(90,1),(91,1)}
        66:{1,3,7}:{(43,1),(44,1),(91,1)}
        67:{1,3,4}:{(46,1),(92,1),(93,1)}
        68:{1,2,4,5}:{(46,1),(47,1),(49,1),(93,1),(94,1),(98,1)}
        69:{1,2,5,6}:{(47,1),(50,1),(94,1),(95,1),(96,1),(115,1),(145,1)}
        70:{1,2,5,7}:{(47,1),(48,1),(51,1),(96,1)}
        71:{1,3,4,5}:{(49,1),(52,1),(93,1),(98,1),(99,1)}
        72:{1,4,6}:{(49,1),(50,1),(53,1),(100,1)}
        73:{1,4,5,7}:{(49,1),(51,1),(54,1),(100,1),(101,1),(150,1)}
        74:{1,3,5,7}:{(50,1),(55,1),(95,1),(100,1),(102,1),(116,1),(144,1),(150,1),(155,1)}
        75:{1,3,6}:{(51,1),(56,1),(96,1),(101,1)}
        76:{2,4,5,6}:{(53,1),(57,1),(97,1),(103,1),(104,1),(108,1),(109,1),(145,1),(154,1)}
        77:{3,4,6}:{(52,1),(53,1),(103,1),(105,1)}
        78:{3,4,5,7}:{(52,1),(54,1),(105,1),(106,1),(153,1)}
        79:{2,4,7}:{(53,1),(55,1),(60,1),(100,1),(105,1)}
        80:{2,4,6}:{(54,1),(56,1),(61,1),(101,1),(106,1),(108,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(62,1),(102,1),(107,1),(151,1),(156,1),(171,1)}
        82:{1,3,5,6}:{(57,1),(59,1),(103,1),(109,1),(110,1)}
        83:{1,4,5,7}:{(57,1),(60,1),(104,1),(110,1),(111,1),(114,1),(170,1)}
        84:{1,4,5}:{(58,1),(64,1),(112,1)}
        85:{2,4,6}:{(58,1),(59,1),(65,1),(109,1),(112,1),(113,1)}
        86:{1,3,4,7}:{(59,1),(60,1),(66,1),(105,1),(110,1),(113,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(62,1),(107,1),(114,1)}
        88:{1,5,6}:{(61,1),(108,1),(114,1)}
        89:{1,2,5}:{(63,1),(64,1),(115,1)}
        90:{1,3,6}:{(64,1),(65,1),(112,1),(115,1),(116,1)}
        91:{2,3,7}:{(65,1),(66,1),(113,1),(116,1)}
        92:{2,3,4}:{(67,1),(118,1),(119,1)}
        93:{1,3,5}:{(67,1),(68,1),(119,1),(120,1)}
        94:{1,2,4,6}:{(68,1),(69,1),(72,1),(120,1),(121,1),(126,1)}
        95:{1,2,5,7}:{(69,1),(74,1),(121,1),(122,1),(140,1),(161,1)}
        96:{1,2,6}:{(70,1),(75,1)}
        97:{1,4,5,6}:{(72,1),(76,1),(123,1),(124,1),(129,1),(135,1)}
        98:{2,4,5}:{(71,1),(119,1),(125,1),(126,1)}
        99:{1,3,4,6}:{(71,1),(72,1),(77,1),(120,1),(123,1),(126,1),(127,1)}
       100:{1,4,7}:{(72,1),(74,1),(79,1)}
       101:{1,4,6}:{(73,1),(75,1),(80,1),(129,1)}
       102:{1,3,6,7}:{(74,1),(75,1),(81,1),(122,1),(128,1),(167,1)}
       103:{3,5,6}:{(76,1),(77,1),(130,1)}
       104:{2,4,5,7}:{(76,1),(79,1),(83,1),(124,1),(130,1),(131,1),(134,1),(136,1),(161,1),(166,1)}
       105:{3,4,7}:{(77,1),(79,1),(130,1)}
       106:{3,4,6}:{(78,1),(80,1),(133,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(81,1),(87,1),(128,1),(132,1),(134,1)}
       108:{2,5,6}:{(80,1),(88,1),(129,1),(133,1),(134,1)}
       109:{2,5,6}:{(82,1),(85,1),(135,1),(136,1)}
       110:{1,3,5,7}:{(82,1),(83,1),(86,1),(130,1),(136,1),(137,1)}
       111:{1,4,6,7}:{(83,1),(131,1),(137,1),(138,1),(174,1)}
       112:{1,4,6}:{(84,1),(85,1),(90,1),(135,1),(139,1)}
       113:{2,4,7}:{(85,1),(86,1),(91,1),(136,1),(139,1)}
       114:{1,5,7}:{(87,1),(88,1),(134,1)}
       115:{1,2,6}:{(89,1),(90,1),(140,1)}
       116:{1,3,7}:{(90,1),(91,1),(139,1),(140,1)}
       117:{1,2,3}:{(141,1)}
       118:{1,3,4}:{(92,1),(141,1),(142,1)}
       119:{2,3,5}:{(92,1),(93,1),(98,1),(142,1),(143,1)}
       120:{1,3,6}:{(93,1),(94,1),(143,1),(144,1)}
       121:{1,2,4,7}:{(94,1),(95,1),(100,1),(144,1),(149,1)}
       122:{1,2,6,7}:{(95,1),(96,1),(102,1),(171,1)}
       123:{1,3,5,6}:{(97,1),(99,1),(103,1),(145,1),(146,1)}
       124:{1,4,5,7}:{(97,1),(100,1),(104,1),(146,1),(147,1),(150,1),(155,1)}
       125:{1,4,5}:{(98,1),(142,1),(148,1)}
       126:{2,4,6}:{(98,1),(99,1),(143,1),(145,1),(148,1),(149,1)}
       127:{1,3,4,7}:{(99,1),(100,1),(105,1),(144,1),(146,1),(149,1)}
       128:{1,4,6,7}:{(100,1),(101,1),(102,1),(107,1),(150,1)}
       129:{1,5,6}:{(101,1),(108,1),(150,1)}
       130:{3,5,7}:{(103,1),(104,1),(105,1),(151,1)}
       131:{2,4,6,7}:{(104,1),(111,1),(147,1),(151,1),(152,1),(156,1),(171,1),(172,1)}
       132:{3,4,6,7}:{(105,1),(106,1),(107,1),(151,1),(153,1),(172,1)}
       133:{3,5,6}:{(106,1),(108,1),(153,1),(154,1)}
       134:{2,5,7}:{(107,1),(108,1),(114,1),(150,1),(153,1)}
       135:{1,5,6}:{(109,1),(112,1),(155,1)}
       136:{2,5,7}:{(109,1),(110,1),(113,1),(155,1),(156,1)}
       137:{1,3,6,7}:{(110,1),(111,1),(151,1),(156,1)}
       138:{1,5,6,7}:{(111,1),(114,1),(152,1)}
       139:{1,4,7}:{(112,1),(113,1),(116,1),(155,1)}
       140:{1,2,7}:{(115,1),(116,1)}
       141:{1,2,4}:{(117,1),(118,1),(157,1)}
       142:{1,3,5}:{(118,1),(119,1),(125,1),(157,1),(158,1)}
       143:{2,3,6}:{(119,1),(120,1),(126,1),(158,1),(159,1)}
       144:{1,3,7}:{(120,1),(121,1),(159,1)}
       145:{2,5,6}:{(123,1),(126,1),(160,1),(161,1)}
       146:{1,3,5,7}:{(123,1),(124,1),(127,1),(130,1),(161,1),(162,1)}
       147:{1,4,6,7}:{(124,1),(131,1),(162,1),(163,1),(167,1)}
       148:{1,4,6}:{(125,1),(126,1),(158,1),(160,1),(164,1)}
       149:{2,4,7}:{(126,1),(127,1),(159,1),(161,1),(164,1)}
       150:{1,5,7}:{(128,1),(129,1),(134,1)}
       151:{3,6,7}:{(130,1),(131,1)}
       152:{2,5,6,7}:{(131,1),(134,1),(138,1),(163,1),(165,1)}
       153:{3,5,7}:{(132,1),(133,1),(134,1),(166,1)}
       154:{4,5,6}:{(133,1),(166,1)}
       155:{1,5,7}:{(135,1),(136,1),(139,1),(167,1)}
       156:{2,6,7}:{(136,1),(137,1),(167,1)}
       157:{1,2,5}:{(141,1),(142,1),(168,1)}
       158:{1,3,6}:{(142,1),(143,1),(148,1),(168,1),(169,1)}
       159:{2,3,7}:{(143,1),(144,1),(149,1),(169,1)}
       160:{1,5,6}:{(145,1),(148,1),(170,1)}
       161:{2,5,7}:{(145,1),(146,1),(149,1),(170,1),(171,1)}
       162:{1,3,6,7}:{(146,1),(147,1),(151,1),(171,1)}
       163:{1,5,6,7}:{(147,1),(150,1),(152,1)}
       164:{1,4,7}:{(148,1),(149,1),(169,1),(170,1)}
       165:{3,5,6,7}:{(151,1),(152,1),(153,1),(172,1)}
       166:{4,5,7}:{(153,1),(154,1),(172,1)}
       167:{1,6,7}:{(155,1),(156,1)}
       168:{1,2,6}:{(157,1),(158,1),(173,1)}
       169:{1,3,7}:{(158,1),(159,1),(164,1),(173,1)}
       170:{1,5,7}:{(160,1),(161,1),(164,1),(174,1)}
       171:{2,6,7}:{(161,1),(162,1),(174,1)}
       172:{4,6,7}:{(165,1),(166,1)}
       173:{1,2,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(170,1),(171,1)}

 984 :   0:{1,2,3,7}:{(1,1),(2,1),(77,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1),(173,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(56,1),(163,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(74,1),(77,1),(169,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(150,1),(170,1)}
         6:{1,2,3,5}:{(2,1),(11,1),(12,1),(37,1)}
         7:{2,3,4,7}:{(3,1),(14,1),(15,1),(16,1),(94,1),(102,1),(160,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(17,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(23,1),(53,1),(56,1),(131,1),(161,1)}
        10:{1,2,6}:{(4,1),(18,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4}:{(6,1),(23,1)}
        13:{1,2,3,7}:{(24,1),(25,1),(147,1)}
        14:{1,3,4,7}:{(7,1),(24,1),(26,1),(27,1),(112,1),(126,1),(147,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        16:{2,3,4,6}:{(7,1),(9,1),(27,1),(29,1),(30,1),(38,1),(70,1),(78,1),(109,1),(148,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(31,1),(34,1),(72,1),(74,1)}
        18:{1,3,6}:{(8,1),(10,1),(29,1),(31,1)}
        19:{1,3,5}:{(9,1),(11,1),(30,1),(34,1)}
        20:{1,2,6,7}:{(10,1),(32,1),(35,1),(158,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(36,1),(123,1),(170,1)}
        22:{1,2,4,5}:{(11,1),(12,1),(34,1),(36,1),(37,1),(76,1)}
        23:{1,3,4}:{(12,1),(37,1),(38,1)}
        24:{1,2,4,7}:{(13,1),(14,1),(39,1),(40,1),(146,1)}
        25:{1,2,3,6}:{(13,1),(40,1),(41,1),(105,1),(129,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(44,1)}
        27:{1,3,4,6}:{(14,1),(16,1),(40,1),(43,1),(44,1),(58,1),(84,1),(88,1),(103,1),(129,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(42,1),(45,1),(46,1),(49,1),(92,1),(94,1)}
        29:{2,3,6}:{(15,1),(18,1),(43,1),(46,1)}
        30:{2,3,5}:{(16,1),(19,1),(44,1),(49,1)}
        31:{1,4,6}:{(17,1),(18,1),(46,1),(51,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(52,1),(174,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(51,1),(52,1),(53,1),(56,1),(161,1),(166,1)}
        34:{1,4,5}:{(19,1),(49,1),(53,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(52,1),(55,1),(143,1),(173,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(53,1),(55,1),(56,1),(100,1)}
        37:{1,3,5}:{(22,1),(23,1),(56,1),(57,1)}
        38:{2,3,4}:{(23,1),(57,1),(58,1)}
        39:{1,2,5,7}:{(24,1),(26,1),(59,1),(60,1)}
        40:{1,2,4,6}:{(24,1),(25,1),(27,1),(59,1),(60,1),(61,1),(80,1),(127,1)}
        41:{1,2,3,5}:{(25,1),(60,1),(61,1),(108,1)}
        42:{1,4,5,7}:{(26,1),(28,1),(62,1),(65,1),(110,1),(112,1)}
        43:{1,3,6}:{(26,1),(29,1),(59,1),(62,1)}
        44:{1,3,5}:{(27,1),(30,1),(60,1),(65,1)}
        45:{3,4,5,7}:{(28,1),(66,1),(71,1),(115,1),(120,1)}
        46:{2,4,6}:{(28,1),(29,1),(31,1),(62,1),(66,1),(68,1)}
        47:{2,3,6,7}:{(29,1),(32,1),(63,1),(67,1),(69,1),(157,1),(158,1),(171,1)}
        48:{2,3,5,6}:{(29,1),(30,1),(33,1),(64,1),(68,1),(69,1),(70,1),(78,1),(119,1),(123,1),(148,1),(153,1)}
        49:{2,4,5}:{(30,1),(34,1),(65,1),(70,1),(71,1)}
        50:{1,4,6,7}:{(31,1),(32,1),(67,1),(72,1),(74,1)}
        51:{1,5,6}:{(31,1),(68,1),(72,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(35,1),(69,1),(72,1),(74,1),(77,1),(169,1),(172,1)}
        53:{1,4,6}:{(33,1),(34,1),(70,1),(74,1)}
        54:{1,3,4,5}:{(34,1),(37,1),(71,1),(75,1),(76,1)}
        55:{1,2,4,7}:{(35,1),(36,1),(74,1),(77,1),(124,1)}
        56:{1,3,6}:{(36,1),(37,1),(77,1),(78,1)}
        57:{2,3,5}:{(37,1),(38,1),(76,1),(78,1),(79,1)}
        58:{1,3,4}:{(38,1),(79,1),(80,1)}
        59:{1,2,6}:{(39,1),(43,1)}
        60:{1,2,5}:{(40,1),(44,1)}
        61:{1,2,4}:{(41,1),(84,1)}
        62:{1,4,6}:{(42,1),(43,1),(46,1),(86,1)}
        63:{1,3,6,7}:{(43,1),(47,1),(81,1),(85,1),(87,1),(168,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(48,1),(82,1),(86,1),(87,1),(88,1),(103,1),(129,1),(144,1)}
        65:{1,4,5}:{(44,1),(49,1),(88,1)}
        66:{3,4,6}:{(45,1),(46,1),(91,1)}
        67:{2,4,6,7}:{(46,1),(47,1),(50,1),(85,1),(90,1),(92,1),(94,1)}
        68:{2,5,6}:{(46,1),(51,1),(86,1),(91,1),(92,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(52,1),(87,1),(92,1),(94,1),(102,1),(141,1),(143,1),(160,1),(165,1)}
        70:{2,4,6}:{(48,1),(49,1),(53,1),(88,1),(94,1),(95,1)}
        71:{3,4,5}:{(49,1),(95,1)}
        72:{1,5,7}:{(50,1),(51,1),(92,1)}
        73:{1,4,5,6}:{(51,1),(53,1),(93,1),(97,1),(98,1),(166,1)}
        74:{1,4,7}:{(52,1),(53,1),(94,1)}
        75:{1,3,4,6}:{(53,1),(54,1),(56,1),(95,1),(98,1),(99,1),(100,1)}
        76:{2,4,5}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,7}:{(55,1),(56,1),(102,1)}
        78:{2,3,6}:{(56,1),(57,1),(100,1),(102,1),(103,1)}
        79:{1,3,5}:{(57,1),(58,1),(101,1),(103,1),(104,1)}
        80:{1,2,4}:{(58,1),(104,1),(105,1)}
        81:{1,2,6,7}:{(59,1),(63,1),(106,1),(171,1)}
        82:{1,2,5,6}:{(59,1),(60,1),(64,1),(106,1),(107,1),(127,1),(153,1)}
        83:{1,2,4,5}:{(60,1),(61,1),(65,1),(107,1),(108,1),(114,1)}
        84:{1,3,4}:{(61,1),(108,1),(109,1)}
        85:{1,4,6,7}:{(62,1),(63,1),(67,1),(110,1),(112,1)}
        86:{1,5,6}:{(62,1),(68,1),(110,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(69,1),(106,1),(110,1),(112,1),(126,1),(147,1),(159,1)}
        88:{1,4,6}:{(64,1),(65,1),(70,1),(112,1)}
        89:{1,3,4,5}:{(65,1),(71,1),(108,1),(113,1),(114,1)}
        90:{3,4,6,7}:{(66,1),(67,1),(115,1),(120,1),(156,1),(157,1)}
        91:{3,5,6}:{(66,1),(68,1),(115,1),(116,1)}
        92:{2,5,7}:{(67,1),(68,1),(72,1),(110,1),(115,1)}
        93:{2,4,5,6}:{(68,1),(70,1),(73,1),(111,1),(116,1),(118,1),(119,1),(123,1),(153,1)}
        94:{2,4,7}:{(69,1),(70,1),(74,1),(112,1),(120,1)}
        95:{3,4,6}:{(70,1),(71,1),(119,1),(120,1)}
        96:{1,5,6,7}:{(72,1),(117,1),(121,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(74,1),(118,1),(121,1),(122,1),(172,1)}
        98:{1,3,5,6}:{(73,1),(75,1),(119,1),(122,1),(123,1)}
        99:{1,3,4,7}:{(74,1),(75,1),(77,1),(120,1),(122,1),(124,1)}
       100:{2,4,6}:{(75,1),(76,1),(78,1),(123,1),(124,1),(125,1)}
       101:{1,4,5}:{(76,1),(79,1),(125,1)}
       102:{2,3,7}:{(77,1),(78,1),(124,1),(126,1)}
       103:{1,3,6}:{(78,1),(79,1),(125,1),(126,1),(127,1)}
       104:{1,2,5}:{(79,1),(80,1),(127,1)}
       105:{1,2,3}:{(80,1)}
       106:{1,2,5,7}:{(81,1),(82,1),(87,1),(128,1),(146,1),(165,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(88,1),(128,1),(129,1),(136,1)}
       108:{1,3,5}:{(83,1),(84,1),(129,1),(130,1)}
       109:{2,3,4}:{(84,1),(130,1),(131,1)}
       110:{1,5,7}:{(85,1),(86,1),(92,1)}
       111:{1,4,5,6}:{(86,1),(88,1),(93,1),(133,1),(134,1),(144,1)}
       112:{1,4,7}:{(87,1),(88,1),(94,1)}
       113:{1,3,4,6}:{(88,1),(89,1),(95,1),(129,1),(134,1),(135,1),(136,1)}
       114:{2,4,5}:{(89,1),(130,1),(136,1),(137,1)}
       115:{3,5,7}:{(90,1),(91,1),(92,1),(139,1)}
       116:{4,5,6}:{(91,1),(139,1)}
       117:{2,5,6,7}:{(92,1),(96,1),(132,1),(138,1),(140,1)}
       118:{2,4,5,7}:{(92,1),(93,1),(94,1),(97,1),(133,1),(139,1),(140,1),(141,1),(143,1),(165,1)}
       119:{3,5,6}:{(93,1),(95,1),(141,1)}
       120:{3,4,7}:{(94,1),(95,1),(141,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(140,1),(142,1),(174,1)}
       122:{1,3,5,7}:{(97,1),(98,1),(99,1),(141,1),(142,1),(143,1)}
       123:{2,5,6}:{(98,1),(100,1),(143,1),(144,1)}
       124:{2,4,7}:{(99,1),(100,1),(102,1),(143,1),(145,1)}
       125:{1,4,6}:{(100,1),(101,1),(103,1),(144,1),(145,1)}
       126:{1,3,7}:{(102,1),(103,1),(145,1),(146,1)}
       127:{1,2,6}:{(103,1),(104,1),(146,1)}
       128:{1,2,4,7}:{(106,1),(107,1),(112,1),(147,1),(154,1)}
       129:{1,3,6}:{(107,1),(108,1),(147,1),(148,1)}
       130:{2,3,5}:{(108,1),(109,1),(114,1),(148,1),(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{1,5,6,7}:{(110,1),(117,1),(151,1)}
       133:{1,4,5,7}:{(110,1),(111,1),(112,1),(118,1),(151,1),(152,1),(159,1)}
       134:{1,3,5,6}:{(111,1),(113,1),(119,1),(152,1),(153,1)}
       135:{1,3,4,7}:{(112,1),(113,1),(120,1),(147,1),(152,1),(154,1)}
       136:{2,4,6}:{(113,1),(114,1),(148,1),(153,1),(154,1),(155,1)}
       137:{1,4,5}:{(114,1),(149,1),(155,1)}
       138:{3,5,6,7}:{(115,1),(117,1),(156,1),(157,1)}
       139:{4,5,7}:{(115,1),(116,1),(156,1)}
       140:{2,4,6,7}:{(117,1),(118,1),(121,1),(151,1),(156,1),(157,1),(158,1),(171,1)}
       141:{3,5,7}:{(118,1),(119,1),(120,1),(157,1)}
       142:{1,3,6,7}:{(121,1),(122,1),(157,1),(158,1)}
       143:{2,5,7}:{(122,1),(123,1),(124,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(125,1),(159,1)}
       145:{1,4,7}:{(124,1),(125,1),(126,1),(159,1)}
       146:{1,2,7}:{(126,1),(127,1)}
       147:{1,3,7}:{(128,1),(129,1),(160,1)}
       148:{2,3,6}:{(129,1),(130,1),(136,1),(160,1),(161,1)}
       149:{1,3,5}:{(130,1),(131,1),(137,1),(161,1),(162,1)}
       150:{1,2,4}:{(131,1),(162,1),(163,1)}
       151:{1,4,6,7}:{(132,1),(133,1),(140,1),(164,1),(168,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(135,1),(141,1),(164,1),(165,1)}
       153:{2,5,6}:{(134,1),(136,1),(165,1),(166,1)}
       154:{2,4,7}:{(135,1),(136,1),(160,1),(165,1),(167,1)}
       155:{1,4,6}:{(136,1),(137,1),(161,1),(166,1),(167,1)}
       156:{4,6,7}:{(138,1),(139,1)}
       157:{3,6,7}:{(140,1),(141,1)}
       158:{2,6,7}:{(142,1),(143,1),(168,1)}
       159:{1,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       160:{2,3,7}:{(147,1),(148,1),(154,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(155,1),(169,1),(170,1)}
       162:{1,2,5}:{(149,1),(150,1),(170,1)}
       163:{1,2,3}:{(150,1)}
       164:{1,3,6,7}:{(151,1),(152,1),(157,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,5,6}:{(153,1),(155,1),(172,1)}
       167:{1,4,7}:{(154,1),(155,1),(169,1),(172,1)}
       168:{1,6,7}:{(158,1),(159,1)}
       169:{1,3,7}:{(160,1),(161,1),(167,1),(173,1)}
       170:{1,2,6}:{(161,1),(162,1),(173,1)}
       171:{2,6,7}:{(164,1),(165,1),(174,1)}
       172:{1,5,7}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

 985 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{1,3,4}:{(1,1),(4,1),(5,1)}
        3:{1,2,5}:{(1,1),(5,1),(6,1)}
        4:{2,3,4}:{(2,1),(8,1),(9,1)}
        5:{1,3,5}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,6}:{(3,1),(11,1),(12,1)}
        7:{1,2,3}:{(13,1)}
        8:{1,3,4}:{(4,1),(13,1),(14,1)}
        9:{2,3,5}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,4,5}:{(5,1),(15,1),(17,1)}
       11:{1,3,6}:{(5,1),(6,1),(16,1),(17,1),(18,1)}
       12:{1,2,7}:{(6,1),(18,1)}
       13:{1,2,4}:{(7,1),(8,1),(19,1)}
       14:{1,3,5}:{(8,1),(9,1),(19,1),(20,1),(21,1)}
       15:{2,4,5}:{(9,1),(10,1),(20,1),(22,1),(23,1)}
       16:{2,3,6}:{(9,1),(11,1),(21,1),(23,1),(24,1)}
       17:{1,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1)}
       18:{1,3,7}:{(11,1),(12,1),(24,1),(26,1)}
       19:{1,2,5}:{(13,1),(14,1),(27,1)}
       20:{1,4,5}:{(14,1),(15,1),(28,1)}
       21:{1,3,6}:{(14,1),(16,1),(27,1),(28,1),(29,1)}
       22:{3,4,5}:{(15,1),(30,1)}
       23:{2,4,6}:{(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
       24:{2,3,7}:{(16,1),(18,1),(29,1),(32,1)}
       25:{1,5,6}:{(17,1),(31,1),(33,1)}
       26:{1,4,7}:{(17,1),(18,1),(32,1),(33,1)}
       27:{1,2,6}:{(19,1),(21,1),(34,1)}
       28:{1,4,6}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
       29:{1,3,7}:{(21,1),(24,1),(34,1),(36,1)}
       30:{3,4,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{2,5,6}:{(23,1),(25,1),(35,1),(37,1),(39,1)}
       32:{2,4,7}:{(23,1),(24,1),(26,1),(36,1),(38,1),(39,1)}
       33:{1,5,7}:{(25,1),(26,1),(39,1),(40,1)}
       34:{1,2,7}:{(27,1),(29,1)}
       35:{1,5,6}:{(28,1),(31,1),(41,1)}
       36:{1,4,7}:{(28,1),(29,1),(32,1),(41,1)}
       37:{3,5,6}:{(30,1),(31,1),(42,1),(43,1)}
       38:{3,4,7}:{(30,1),(32,1),(43,1)}
       39:{2,5,7}:{(31,1),(32,1),(33,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(33,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

 986 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

 987 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 988 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

 989 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

 990 :   0:{1,2,6,7}:{(3,1),(5,1),(163,1),(246,1),(305,1),(314,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(83,1),(139,1),(159,1),(163,1),(223,1),(234,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(28,1),(31,1),(80,1),(83,1),(135,1),(147,1),(223,1),(241,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(119,1),(265,1),(342,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(52,1),(98,1),(119,1),(176,1),(265,1),(267,1),(342,1),(395,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(16,1),(120,1),(183,1),(203,1),(276,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(16,1),(17,1),(54,1),(117,1),(191,1),(274,1)}
         7:{1,3,5}:{(2,1),(15,1),(17,1),(18,1),(179,1),(283,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(251,1),(298,1),(314,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(88,1),(132,1),(165,1),(216,1),(221,1),(234,1),(251,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(151,1),(163,1),(221,1),(314,1),(323,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(33,1),(65,1),(69,1),(71,1),(83,1),(132,1),(151,1),(163,1),(221,1),(234,1),(244,1),(313,1),(323,1),(380,1),(382,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(27,1),(29,1),(81,1),(372,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(27,1),(29,1),(32,1),(138,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(28,1),(29,1),(307,1)}
        15:{1,3,4}:{(7,1),(31,1),(307,1),(322,1)}
        16:{1,2,4,7}:{(5,1),(6,1),(29,1),(32,1),(84,1),(160,1),(235,1),(312,1)}
        17:{1,3,6}:{(6,1),(7,1),(32,1),(33,1),(313,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(83,1),(147,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(35,1),(36,1),(174,1),(208,1),(292,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(36,1),(37,1),(40,1),(57,1),(90,1),(92,1),(121,1),(174,1),(208,1),(210,1),(292,1),(360,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(36,1),(39,1),(125,1),(175,1),(258,1),(276,1)}
        22:{1,2,4,6}:{(9,1),(37,1),(38,1),(39,1),(40,1),(94,1),(256,1),(274,1),(331,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(35,1),(41,1),(42,1),(44,1),(107,1),(356,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(36,1),(42,1),(44,1),(56,1),(97,1),(108,1),(120,1),(175,1),(276,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(37,1),(43,1),(44,1),(45,1),(286,1),(401,1)}
        26:{1,3,4,5}:{(15,1),(48,1),(49,1),(52,1),(103,1),(106,1),(196,1),(207,1),(283,1),(291,1)}
        27:{1,5,7}:{(12,1),(42,1),(50,1),(395,1)}
        28:{1,4,5}:{(14,1),(43,1),(52,1),(176,1),(395,1)}
        29:{1,4,7}:{(13,1),(14,1),(44,1)}
        30:{1,3,4,6}:{(14,1),(15,1),(17,1),(45,1),(52,1),(53,1),(54,1),(119,1)}
        31:{2,4}:{(15,1),(18,1),(55,1)}
        32:{1,3,7}:{(16,1),(17,1),(56,1),(347,1)}
        33:{2,3,6}:{(17,1),(18,1),(54,1),(56,1),(57,1),(191,1)}
        34:{1,3,5}:{(18,1),(55,1),(57,1),(58,1),(121,1),(124,1)}
        35:{1,4,6,7}:{(19,1),(23,1),(59,1),(61,1),(130,1),(329,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(59,1),(61,1),(64,1),(87,1),(164,1)}
        37:{1,4,6}:{(20,1),(25,1),(60,1),(61,1),(253,1)}
        38:{1,2,4,5}:{(22,1),(60,1),(63,1),(132,1),(136,1),(165,1),(220,1),(241,1),(253,1),(303,1),(308,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(61,1),(64,1),(133,1),(296,1),(312,1),(362,1)}
        40:{1,3,6}:{(22,1),(63,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(68,1),(72,1),(148,1),(151,1),(374,1),(381,1),(411,1)}
        42:{2,5,7}:{(23,1),(27,1),(59,1),(68,1),(69,1),(382,1)}
        43:{2,4,5}:{(25,1),(28,1),(60,1),(71,1),(83,1),(132,1),(382,1),(415,1)}
        44:{2,4,7}:{(24,1),(25,1),(29,1),(61,1),(72,1),(411,1)}
        45:{3,4,6}:{(25,1),(71,1),(72,1),(151,1),(313,1),(322,1)}
        46:{2,3,4}:{(31,1),(67,1),(74,1),(156,1),(237,1),(322,1)}
        47:{1,4,5,6}:{(28,1),(66,1),(76,1),(77,1),(81,1),(216,1),(231,1),(319,1),(327,1),(384,1)}
        48:{1,3,4,6}:{(26,1),(77,1),(78,1),(79,1),(141,1),(146,1),(231,1),(313,1)}
        49:{2,4,5}:{(26,1),(31,1),(67,1),(79,1),(80,1),(83,1),(147,1),(237,1),(318,1)}
        50:{1,5,6}:{(27,1),(69,1),(81,1)}
        51:{1,4,5,7}:{(27,1),(28,1),(29,1),(70,1),(81,1),(82,1),(222,1)}
        52:{1,3,5}:{(28,1),(30,1),(71,1),(83,1)}
        53:{1,3,4,7}:{(29,1),(30,1),(32,1),(72,1),(82,1),(84,1)}
        54:{2,4,6}:{(30,1),(31,1),(33,1),(83,1),(84,1),(85,1),(163,1)}
        55:{1,4}:{(31,1),(34,1)}
        56:{2,3,7}:{(32,1),(33,1),(84,1),(87,1),(235,1)}
        57:{1,3,6}:{(33,1),(34,1),(85,1),(87,1),(88,1)}
        58:{1,2,5}:{(34,1),(86,1),(88,1),(147,1)}
        59:{1,5,7}:{(35,1),(42,1),(90,1),(360,1)}
        60:{1,4,5}:{(37,1),(43,1),(92,1),(121,1),(360,1)}
        61:{1,4,7}:{(36,1),(37,1),(44,1)}
        62:{1,3,4,6}:{(37,1),(40,1),(45,1),(92,1),(93,1),(94,1),(95,1),(174,1)}
        63:{1,3,5}:{(38,1),(40,1),(95,1),(96,1),(283,1),(344,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(94,1),(96,1),(97,1),(98,1),(331,1)}
        66:{2,4,5,6}:{(43,1),(47,1),(89,1),(100,1),(101,1),(107,1),(115,1),(171,1),(186,1),(193,1),(274,1),(280,1),(351,1),(353,1),(400,1),(401,1)}
        67:{2,3,5}:{(46,1),(49,1),(102,1),(103,1),(283,1)}
        68:{3,5,7}:{(41,1),(42,1),(104,1),(105,1),(402,1)}
        69:{2,5,6}:{(42,1),(50,1),(90,1),(104,1),(107,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(51,1),(91,1),(105,1),(107,1),(108,1),(120,1),(175,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(108,1),(347,1)}
        73:{2,3,4,6}:{(45,1),(46,1),(54,1),(94,1),(102,1),(109,1),(110,1),(111,1),(180,1),(186,1),(197,1),(201,1),(254,1),(279,1),(286,1),(348,1),(356,1),(388,1)}
        74:{1,3,4}:{(46,1),(55,1),(103,1),(112,1),(124,1),(179,1),(262,1)}
        75:{1,5,6,7}:{(50,1),(99,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(100,1),(113,1),(114,1),(258,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(48,1),(52,1),(101,1),(114,1),(115,1),(119,1),(291,1),(359,1)}
        78:{1,3,4,7}:{(48,1),(114,1),(116,1),(185,1),(190,1),(273,1),(347,1)}
        79:{2,4,6}:{(48,1),(49,1),(102,1),(115,1),(116,1),(117,1),(191,1)}
        80:{1,4,5}:{(49,1),(55,1),(103,1),(117,1),(121,1),(262,1),(338,1)}
        81:{1,4,6}:{(50,1),(51,1),(107,1),(119,1),(265,1)}
        82:{1,3,5,7}:{(51,1),(52,1),(53,1),(108,1),(119,1),(120,1)}
        83:{2,5}:{(52,1),(54,1),(121,1)}
        84:{2,4,7}:{(53,1),(54,1),(56,1),(120,1),(122,1)}
        85:{1,4,6}:{(54,1),(55,1),(57,1),(121,1),(122,1),(208,1)}
        86:{1,2,4}:{(55,1),(58,1),(112,1),(124,1)}
        87:{1,3,7}:{(56,1),(57,1),(122,1),(125,1)}
        88:{1,2,6}:{(57,1),(58,1),(125,1),(191,1)}
        89:{1,4,5,6}:{(60,1),(66,1),(127,1),(128,1),(130,1),(159,1),(231,1),(319,1),(368,1),(410,1)}
        90:{1,5,6}:{(59,1),(69,1),(130,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(61,1),(70,1),(130,1),(131,1),(164,1)}
        92:{1,3,5}:{(60,1),(62,1),(71,1),(132,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(72,1),(131,1),(133,1)}
        94:{2,4,6}:{(62,1),(65,1),(132,1),(133,1),(134,1),(136,1),(221,1)}
        95:{1,3,4}:{(63,1),(136,1),(253,1),(322,1)}
        96:{2,3,5}:{(63,1),(65,1),(132,1),(136,1),(137,1),(303,1),(309,1)}
        97:{2,3,7}:{(64,1),(65,1),(133,1),(138,1),(362,1)}
        98:{1,3,6}:{(65,1),(134,1),(137,1),(138,1),(139,1)}
        99:{2,5,6,7}:{(69,1),(75,1),(126,1),(140,1),(142,1),(310,1),(373,1),(414,1)}
       100:{2,4,5,7}:{(66,1),(76,1),(127,1),(142,1),(143,1),(158,1),(215,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       101:{3,5,6}:{(66,1),(71,1),(141,1),(143,1),(151,1),(313,1),(376,1),(413,1)}
       102:{2,3,6}:{(67,1),(79,1),(145,1),(146,1),(313,1)}
       103:{1,3,5}:{(67,1),(74,1),(80,1),(146,1),(147,1)}
       104:{3,5,6}:{(68,1),(69,1),(148,1),(151,1)}
       105:{4,5,7}:{(68,1),(148,1),(411,1),(415,1)}
       106:{3,4,5}:{(71,1),(141,1),(150,1),(322,1),(376,1),(415,1)}
       107:{2,4,6}:{(69,1),(70,1),(81,1),(130,1),(148,1),(151,1),(163,1),(221,1)}
       108:{3,5,7}:{(70,1),(71,1),(72,1),(151,1)}
       109:{2,3,5}:{(71,1),(73,1),(83,1),(132,1),(150,1),(153,1),(318,1),(376,1),(382,1),(407,1)}
       110:{2,3,4,7}:{(72,1),(73,1),(84,1),(133,1),(145,1),(152,1),(154,1),(230,1),(245,1),(294,1),(317,1),(324,1),(375,1),(406,1)}
       111:{1,3,4,6}:{(73,1),(74,1),(85,1),(134,1),(146,1),(153,1),(154,1),(155,1),(167,1),(225,1),(226,1),(231,1),(242,1),(253,1),(295,1),(302,1),(307,1),(313,1),(322,1),(329,1),(372,1),(381,1),(405,1)}
       112:{2,4}:{(74,1),(147,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(81,1),(142,1),(157,1),(298,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(78,1),(143,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(79,1),(83,1),(158,1),(159,1),(163,1),(318,1),(379,1)}
       116:{2,4,7}:{(78,1),(79,1),(145,1),(158,1),(160,1),(235,1)}
       117:{1,4,6}:{(79,1),(80,1),(146,1),(159,1),(160,1)}
       118:{1,2,4,5}:{(80,1),(86,1),(147,1),(161,1),(162,1),(165,1),(237,1),(241,1),(253,1),(318,1),(327,1)}
       119:{1,3,6}:{(81,1),(82,1),(151,1),(163,1)}
       120:{2,5,7}:{(82,1),(83,1),(84,1),(163,1),(164,1)}
       121:{1,5}:{(83,1),(85,1)}
       122:{1,4,7}:{(84,1),(85,1),(87,1),(164,1)}
       123:{1,2,4,6}:{(85,1),(86,1),(88,1),(155,1),(165,1),(166,1),(167,1),(251,1),(253,1),(308,1),(329,1),(361,1),(405,1)}
       124:{1,3}:{(86,1),(156,1)}
       125:{1,2,7}:{(87,1),(88,1),(235,1)}
       126:{1,5,6,7}:{(90,1),(99,1),(169,1),(345,1),(420,1)}
       127:{1,4,5,7}:{(89,1),(100,1),(169,1),(170,1),(203,1),(273,1),(345,1)}
       128:{1,3,5,6}:{(89,1),(92,1),(101,1),(168,1),(170,1),(171,1),(174,1),(390,1),(419,1)}
       129:{1,3,4,5}:{(92,1),(95,1),(106,1),(168,1),(173,1),(196,1),(263,1),(283,1),(341,1),(390,1)}
       130:{1,4,6}:{(90,1),(91,1),(107,1),(174,1),(208,1)}
       131:{1,3,5,7}:{(91,1),(92,1),(93,1),(108,1),(174,1),(175,1)}
       132:{2,5}:{(92,1),(94,1),(176,1)}
       133:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(177,1)}
       134:{1,4,6}:{(94,1),(98,1),(176,1),(177,1),(181,1),(265,1)}
       135:{1,2,4}:{(112,1),(172,1),(179,1),(262,1)}
       136:{2,4}:{(95,1),(96,1),(181,1)}
       137:{1,3,5}:{(96,1),(98,1),(176,1),(181,1),(182,1),(270,1)}
       138:{1,3,7}:{(97,1),(98,1),(177,1),(183,1)}
       139:{1,2,6}:{(98,1),(182,1),(183,1),(331,1)}
       140:{3,5,6,7}:{(99,1),(104,1),(184,1),(187,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(106,1),(185,1),(186,1),(401,1)}
       142:{2,4,6,7}:{(99,1),(100,1),(107,1),(113,1),(169,1),(184,1),(187,1),(202,1),(257,1),(400,1)}
       143:{3,5,7}:{(100,1),(101,1),(185,1),(187,1),(347,1)}
       144:{2,3,5,6}:{(101,1),(102,1),(109,1),(115,1),(171,1),(186,1),(188,1),(189,1),(197,1),(254,1),(280,1)}
       145:{2,3,7}:{(102,1),(116,1),(190,1),(347,1)}
       146:{1,3,6}:{(102,1),(103,1),(117,1),(190,1),(191,1)}
       147:{2,5}:{(103,1),(112,1),(191,1)}
       148:{4,6}:{(104,1),(105,1)}
       149:{3,4,5,7}:{(105,1),(106,1),(108,1),(185,1),(194,1),(195,1),(271,1),(355,1),(398,1),(402,1),(421,1)}
       150:{2,4,5}:{(106,1),(109,1),(186,1),(196,1),(286,1)}
       151:{3,6}:{(107,1),(108,1)}
       152:{2,3,5,7}:{(108,1),(109,1),(110,1),(120,1),(175,1),(195,1),(197,1),(198,1),(352,1),(398,1),(418,1)}
       153:{1,3,5}:{(109,1),(111,1),(121,1),(176,1),(196,1),(199,1),(283,1),(338,1),(360,1),(395,1),(402,1),(417,1)}
       154:{1,3,4,7}:{(110,1),(111,1),(122,1),(177,1),(190,1),(198,1),(200,1),(211,1),(268,1),(273,1),(293,1),(330,1),(337,1),(343,1),(347,1),(355,1),(416,1)}
       155:{2,4,6}:{(111,1),(112,1),(191,1),(199,1),(200,1),(201,1),(269,1),(284,1),(286,1),(331,1)}
       156:{2,3}:{(112,1),(124,1),(179,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(119,1),(187,1),(202,1),(359,1)}
       158:{2,5,7}:{(114,1),(115,1),(116,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(117,1),(121,1),(203,1),(208,1),(338,1),(393,1)}
       160:{1,4,7}:{(116,1),(117,1),(190,1),(203,1)}
       161:{1,2,4,6}:{(117,1),(118,1),(191,1),(204,1),(205,1),(206,1),(274,1),(279,1),(289,1)}
       162:{1,3,5}:{(118,1),(124,1),(192,1),(206,1),(207,1),(283,1)}
       163:{2,6}:{(119,1),(120,1),(208,1)}
       164:{1,5,7}:{(120,1),(121,1),(122,1),(208,1)}
       165:{1,2,5}:{(121,1),(123,1),(199,1),(210,1),(360,1),(417,1)}
       166:{1,2,4,7}:{(122,1),(123,1),(125,1),(200,1),(209,1),(211,1),(293,1),(385,1),(416,1)}
       167:{1,3,6}:{(123,1),(124,1),(201,1),(210,1),(211,1),(344,1)}
       168:{1,3,4,6}:{(128,1),(129,1),(141,1),(212,1),(213,1),(231,1),(295,1),(313,1)}
       169:{1,4,6,7}:{(126,1),(127,1),(130,1),(142,1),(214,1),(246,1),(410,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(143,1),(212,1),(214,1),(215,1)}
       171:{2,5,6}:{(128,1),(132,1),(213,1),(215,1),(216,1),(221,1),(407,1),(424,1)}
       172:{1,2,5}:{(135,1),(147,1),(217,1),(218,1)}
       173:{2,4,5}:{(129,1),(132,1),(136,1),(213,1),(219,1),(220,1),(303,1),(371,1),(407,1)}
       174:{1,3,6}:{(130,1),(131,1),(151,1),(221,1)}
       175:{2,5,7}:{(131,1),(132,1),(133,1),(221,1),(222,1)}
       176:{1,5}:{(132,1),(134,1)}
       177:{1,4,7}:{(133,1),(134,1),(138,1),(222,1)}
       178:{1,2,4,6}:{(134,1),(135,1),(139,1),(155,1),(217,1),(223,1),(224,1),(225,1),(227,1),(302,1),(305,1),(307,1),(372,1)}
       179:{1,3}:{(135,1),(156,1)}
       180:{2,3,4}:{(136,1),(219,1),(226,1),(309,1),(322,1),(371,1)}
       181:{1,4}:{(136,1),(137,1)}
       182:{1,2,5}:{(137,1),(139,1),(227,1),(303,1)}
       183:{1,2,7}:{(138,1),(139,1),(362,1)}
       184:{4,6,7}:{(140,1),(148,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(143,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(150,1),(230,1),(231,1)}
       187:{3,6,7}:{(142,1),(143,1),(151,1),(413,1)}
       188:{2,3,5,7}:{(143,1),(144,1),(145,1),(158,1),(215,1),(230,1),(232,1),(233,1),(294,1),(310,1)}
       189:{1,3,5,6}:{(144,1),(146,1),(153,1),(159,1),(216,1),(231,1),(233,1),(234,1),(242,1),(295,1),(313,1),(319,1),(380,1)}
       190:{1,3,7}:{(145,1),(146,1),(160,1),(235,1)}
       191:{2,6}:{(146,1),(147,1),(235,1)}
       192:{2,3,5}:{(147,1),(156,1),(162,1),(218,1),(236,1),(237,1),(318,1)}
       193:{4,5,6}:{(148,1),(228,1),(238,1),(415,1),(425,1)}
       194:{3,4,6}:{(148,1),(149,1),(151,1),(238,1),(239,1),(413,1),(425,1)}
       195:{2,4,5,7}:{(149,1),(150,1),(152,1),(230,1),(239,1),(240,1),(310,1),(324,1),(382,1)}
       196:{1,4,5}:{(150,1),(153,1),(231,1),(241,1),(253,1),(307,1),(415,1)}
       197:{2,3,6}:{(151,1),(152,1),(163,1),(221,1),(239,1),(242,1),(379,1),(413,1),(424,1)}
       198:{1,3,5,7}:{(152,1),(153,1),(154,1),(164,1),(222,1),(240,1),(242,1),(243,1),(321,1),(369,1),(423,1)}
       199:{2,5}:{(153,1),(155,1)}
       200:{2,4,7}:{(154,1),(155,1),(235,1),(243,1),(245,1),(362,1)}
       201:{2,3,6}:{(155,1),(156,1),(167,1),(225,1),(244,1),(245,1),(309,1),(313,1)}
       202:{2,6,7}:{(157,1),(158,1),(163,1),(246,1),(379,1)}
       203:{1,5,7}:{(158,1),(159,1),(160,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(161,1),(165,1),(234,1),(247,1),(248,1),(251,1),(318,1),(361,1),(379,1)}
       205:{1,2,4,7}:{(160,1),(161,1),(235,1),(247,1),(249,1),(312,1),(317,1),(326,1)}
       206:{1,3,6}:{(161,1),(162,1),(236,1),(249,1),(313,1)}
       207:{1,3,4}:{(162,1),(237,1),(253,1),(322,1)}
       208:{1,6}:{(163,1),(164,1)}
       209:{1,2,5,7}:{(164,1),(165,1),(166,1),(243,1),(251,1),(252,1),(423,1)}
       210:{1,3,5}:{(165,1),(167,1),(244,1),(253,1)}
       211:{1,3,7}:{(166,1),(167,1),(245,1)}
       212:{1,3,4,7}:{(168,1),(170,1),(185,1),(255,1),(273,1),(330,1),(347,1)}
       213:{2,4,6}:{(168,1),(171,1),(173,1),(254,1),(255,1),(256,1),(331,1)}
       214:{1,3,6,7}:{(169,1),(170,1),(174,1),(187,1),(257,1),(419,1)}
       215:{2,5,7}:{(170,1),(171,1),(255,1),(257,1),(258,1)}
       216:{1,5,6}:{(171,1),(176,1),(256,1),(258,1),(265,1),(417,1),(426,1)}
       217:{1,2,6}:{(172,1),(191,1),(260,1),(261,1)}
       218:{1,3,5}:{(172,1),(179,1),(192,1),(261,1),(262,1),(338,1)}
       219:{2,3,5}:{(173,1),(180,1),(254,1),(263,1),(283,1)}
       220:{1,4,5}:{(173,1),(176,1),(181,1),(256,1),(263,1),(394,1),(417,1)}
       221:{2,6}:{(174,1),(175,1),(265,1)}
       222:{1,5,7}:{(175,1),(176,1),(177,1),(265,1)}
       223:{1,2,5}:{(176,1),(178,1),(199,1),(267,1),(338,1),(395,1)}
       224:{1,2,4,7}:{(177,1),(178,1),(183,1),(200,1),(260,1),(266,1),(268,1),(337,1),(343,1)}
       225:{1,3,6}:{(178,1),(179,1),(201,1),(267,1),(268,1),(270,1)}
       226:{1,3,4}:{(180,1),(181,1),(263,1),(269,1),(270,1),(344,1),(394,1)}
       227:{1,2,4}:{(181,1),(182,1),(269,1),(270,1)}
       228:{4,5,7}:{(184,1),(193,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(187,1),(194,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(188,1),(273,1)}
       231:{1,4,6}:{(186,1),(189,1),(196,1),(273,1),(274,1),(401,1)}
       232:{2,3,6,7}:{(187,1),(188,1),(197,1),(202,1),(257,1),(272,1),(275,1)}
       233:{1,3,5,7}:{(188,1),(189,1),(190,1),(203,1),(258,1),(273,1),(275,1),(276,1),(330,1),(345,1),(347,1),(396,1)}
       234:{2,5,6}:{(189,1),(191,1),(199,1),(274,1),(276,1),(284,1),(331,1)}
       235:{2,7}:{(190,1),(191,1)}
       236:{2,3,6}:{(191,1),(192,1),(206,1),(261,1),(278,1),(279,1)}
       237:{2,4}:{(192,1),(207,1),(262,1)}
       238:{3,5,6}:{(193,1),(194,1),(271,1),(280,1),(402,1)}
       239:{2,4,6}:{(194,1),(195,1),(197,1),(280,1),(281,1)}
       240:{1,4,5,7}:{(195,1),(196,1),(198,1),(273,1),(281,1),(282,1),(293,1),(343,1),(345,1),(360,1),(395,1)}
       241:{2,4,5}:{(196,1),(199,1),(274,1),(283,1),(286,1)}
       242:{1,3,6}:{(197,1),(198,1),(208,1),(265,1),(281,1),(284,1),(354,1),(393,1),(426,1)}
       243:{2,5,7}:{(198,1),(199,1),(200,1),(284,1)}
       244:{2,3,5}:{(199,1),(201,1),(210,1),(267,1),(283,1),(286,1)}
       245:{2,3,7}:{(200,1),(201,1),(211,1),(268,1),(347,1)}
       246:{1,6,7}:{(202,1),(203,1),(208,1),(393,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(205,1),(276,1),(287,1),(288,1),(352,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(206,1),(210,1),(277,1),(288,1),(289,1),(291,1),(292,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,3,7}:{(205,1),(206,1),(278,1),(347,1)}
       250:{1,3,4,6}:{(206,1),(207,1),(279,1),(289,1),(290,1),(291,1),(348,1),(359,1)}
       251:{1,2,6}:{(208,1),(209,1),(284,1),(292,1),(426,1)}
       252:{1,3,5,7}:{(209,1),(210,1),(211,1),(285,1),(292,1),(293,1),(360,1)}
       253:{1,4}:{(210,1),(286,1)}
       254:{2,3,6}:{(213,1),(219,1),(294,1),(295,1),(313,1)}
       255:{2,4,7}:{(212,1),(213,1),(215,1),(294,1),(296,1),(362,1)}
       256:{1,4,6}:{(213,1),(216,1),(220,1),(295,1),(296,1)}
       257:{2,6,7}:{(214,1),(215,1),(221,1),(298,1),(424,1)}
       258:{1,5,7}:{(215,1),(216,1),(296,1),(298,1)}
       259:{1,2,5,6}:{(216,1),(217,1),(223,1),(234,1),(297,1),(299,1),(300,1),(305,1),(407,1),(424,1)}
       260:{1,2,7}:{(217,1),(235,1),(301,1)}
       261:{1,3,6}:{(217,1),(218,1),(236,1),(301,1),(302,1)}
       262:{1,4}:{(218,1),(237,1)}
       263:{1,3,5}:{(219,1),(220,1),(226,1),(295,1),(303,1)}
       264:{1,2,4,5}:{(220,1),(223,1),(227,1),(241,1),(297,1),(303,1),(304,1),(307,1),(368,1),(371,1),(407,1)}
       265:{1,6}:{(221,1),(222,1)}
       266:{1,2,5,7}:{(222,1),(223,1),(224,1),(243,1),(305,1),(306,1),(369,1)}
       267:{1,3,5}:{(223,1),(225,1),(244,1),(307,1)}
       268:{1,3,7}:{(224,1),(225,1),(245,1)}
       269:{2,4}:{(226,1),(303,1),(309,1)}
       270:{1,3}:{(227,1),(309,1)}
       271:{3,5,7}:{(228,1),(229,1),(238,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(232,1),(239,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(233,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(234,1),(241,1),(312,1),(313,1)}
       275:{1,3,6,7}:{(232,1),(233,1),(242,1),(246,1),(298,1),(311,1),(314,1),(374,1)}
       276:{2,5,7}:{(233,1),(234,1),(235,1),(312,1),(314,1),(362,1)}
       277:{2,3,5,6}:{(234,1),(236,1),(244,1),(248,1),(300,1),(313,1),(315,1),(316,1),(318,1),(323,1),(363,1),(376,1),(379,1),(380,1),(382,1),(407,1),(413,1),(414,1),(424,1)}
       278:{2,3,7}:{(235,1),(236,1),(249,1),(301,1),(317,1)}
       279:{2,4,6}:{(236,1),(237,1),(250,1),(302,1),(317,1),(318,1),(379,1)}
       280:{2,5,6}:{(238,1),(239,1),(310,1),(319,1),(382,1)}
       281:{1,4,6}:{(239,1),(240,1),(242,1),(319,1),(320,1)}
       282:{2,4,5,7}:{(240,1),(241,1),(243,1),(312,1),(320,1),(321,1),(324,1),(373,1),(382,1),(411,1),(415,1)}
       283:{3,5}:{(241,1),(313,1),(322,1)}
       284:{2,6}:{(242,1),(243,1)}
       285:{2,3,5,7}:{(243,1),(244,1),(245,1),(252,1),(306,1),(321,1),(323,1),(324,1),(382,1)}
       286:{2,4}:{(244,1),(253,1),(307,1),(322,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(251,1),(314,1),(325,1),(379,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(249,1),(315,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(253,1),(316,1),(326,1),(327,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(317,1),(326,1),(328,1),(375,1)}
       291:{1,3,5}:{(250,1),(318,1),(327,1),(376,1)}
       292:{1,3,6}:{(251,1),(252,1),(323,1),(329,1)}
       293:{1,4,7}:{(252,1),(253,1),(324,1),(329,1)}
       294:{2,3,7}:{(254,1),(255,1),(330,1),(347,1)}
       295:{1,3,6}:{(254,1),(256,1),(263,1),(330,1),(331,1)}
       296:{1,4,7}:{(255,1),(256,1),(258,1),(330,1)}
       297:{1,2,4,6}:{(256,1),(259,1),(264,1),(274,1),(331,1),(332,1),(333,1),(336,1),(388,1)}
       298:{1,6,7}:{(257,1),(258,1),(265,1),(426,1)}
       299:{1,2,5,7}:{(258,1),(259,1),(260,1),(276,1),(332,1),(334,1),(335,1),(418,1)}
       300:{1,3,5,6}:{(259,1),(261,1),(267,1),(277,1),(333,1),(335,1),(336,1),(338,1),(342,1),(390,1),(393,1),(395,1),(419,1),(420,1)}
       301:{1,3,7}:{(260,1),(261,1),(278,1),(337,1)}
       302:{1,4,6}:{(261,1),(262,1),(279,1),(337,1),(338,1),(393,1)}
       303:{2,5}:{(263,1),(269,1),(331,1)}
       304:{1,3,5}:{(264,1),(270,1),(283,1),(333,1),(340,1),(341,1)}
       305:{1,2,6}:{(265,1),(266,1),(284,1),(342,1),(393,1)}
       306:{1,3,5,7}:{(266,1),(267,1),(268,1),(285,1),(342,1),(343,1),(395,1)}
       307:{1,4}:{(267,1),(286,1)}
       308:{1,2,4}:{(269,1),(339,1),(344,1),(394,1)}
       309:{2,3}:{(269,1),(270,1),(344,1)}
       310:{2,5,7}:{(271,1),(272,1),(280,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(275,1),(281,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(276,1),(347,1)}
       313:{3,6}:{(274,1),(283,1),(347,1)}
       314:{2,6,7}:{(275,1),(276,1),(284,1)}
       315:{2,3,5,7}:{(276,1),(277,1),(278,1),(288,1),(335,1),(347,1),(349,1),(350,1),(352,1),(387,1),(396,1),(398,1),(399,1),(418,1)}
       316:{2,4,6}:{(277,1),(286,1),(289,1),(336,1),(348,1),(350,1),(351,1),(401,1)}
       317:{2,4,7}:{(278,1),(279,1),(290,1),(337,1),(352,1)}
       318:{2,5}:{(279,1),(291,1),(338,1)}
       319:{1,5,6}:{(280,1),(281,1),(345,1),(353,1),(360,1),(395,1)}
       320:{2,4,6}:{(281,1),(282,1),(284,1),(353,1),(354,1),(401,1)}
       321:{3,5,7}:{(282,1),(283,1),(347,1),(354,1),(355,1),(402,1)}
       322:{3,4}:{(283,1),(286,1)}
       323:{2,3,6}:{(284,1),(285,1),(292,1),(342,1),(354,1),(356,1)}
       324:{2,4,7}:{(285,1),(286,1),(293,1),(343,1),(355,1),(356,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(292,1),(349,1),(357,1),(359,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(350,1)}
       327:{1,4,5}:{(289,1),(291,1),(351,1),(360,1),(417,1)}
       328:{1,3,5,7}:{(290,1),(291,1),(352,1),(358,1),(359,1),(398,1)}
       329:{1,4,6}:{(292,1),(293,1),(356,1),(360,1)}
       330:{1,3,7}:{(294,1),(295,1),(296,1),(362,1)}
       331:{2,6}:{(295,1),(303,1),(362,1)}
       332:{1,2,4,7}:{(296,1),(297,1),(299,1),(312,1),(362,1),(364,1),(367,1),(406,1)}
       333:{1,3,6}:{(297,1),(304,1),(313,1),(363,1),(364,1)}
       334:{1,2,6,7}:{(298,1),(299,1),(305,1),(314,1),(366,1),(424,1)}
       335:{1,3,5,7}:{(299,1),(300,1),(301,1),(315,1),(364,1),(366,1),(367,1),(369,1),(409,1)}
       336:{1,4,6}:{(300,1),(307,1),(316,1),(367,1),(368,1)}
       337:{1,4,7}:{(301,1),(302,1),(317,1),(369,1)}
       338:{1,5}:{(302,1),(318,1)}
       339:{1,2,5}:{(303,1),(308,1),(361,1),(370,1)}
       340:{2,3,5}:{(303,1),(304,1),(309,1),(363,1),(370,1),(371,1),(407,1)}
       341:{1,3,4}:{(304,1),(307,1),(322,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(323,1),(372,1)}
       343:{1,4,7}:{(306,1),(307,1),(324,1),(372,1)}
       344:{1,3}:{(308,1),(309,1)}
       345:{1,5,7}:{(310,1),(311,1),(319,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(314,1),(320,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(316,1),(322,1),(375,1),(376,1),(413,1)}
       349:{2,3,6,7}:{(314,1),(315,1),(323,1),(325,1),(366,1),(374,1),(377,1),(379,1),(413,1),(424,1)}
       350:{2,4,7}:{(315,1),(316,1),(326,1),(367,1),(375,1),(411,1)}
       351:{2,4,5}:{(316,1),(318,1),(327,1),(368,1),(376,1),(382,1),(407,1),(415,1)}
       352:{2,5,7}:{(317,1),(318,1),(328,1),(369,1),(379,1)}
       353:{2,5,6}:{(319,1),(320,1),(373,1),(380,1),(382,1)}
       354:{3,6}:{(320,1),(321,1)}
       355:{3,4,7}:{(321,1),(322,1),(324,1),(381,1),(411,1)}
       356:{2,4,6}:{(323,1),(324,1),(329,1),(372,1),(381,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(329,1),(377,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(328,1),(378,1),(383,1),(384,1),(423,1)}
       359:{1,3,6}:{(328,1),(379,1),(384,1),(413,1)}
       360:{1,5}:{(329,1),(382,1)}
       361:{1,2,6}:{(331,1),(339,1),(385,1),(386,1)}
       362:{2,7}:{(330,1),(331,1)}
       363:{2,3,6}:{(331,1),(333,1),(340,1),(386,1),(387,1),(388,1)}
       364:{1,3,7}:{(332,1),(333,1),(347,1),(387,1)}
       365:{1,3,4,6}:{(333,1),(336,1),(341,1),(348,1),(388,1),(389,1),(390,1),(419,1)}
       366:{1,3,6,7}:{(334,1),(335,1),(342,1),(349,1),(391,1),(393,1),(419,1)}
       367:{1,4,7}:{(335,1),(336,1),(350,1)}
       368:{1,4,5}:{(336,1),(338,1),(351,1),(390,1),(395,1)}
       369:{1,5,7}:{(337,1),(338,1),(352,1),(393,1)}
       370:{1,3,5}:{(339,1),(340,1),(344,1),(386,1),(394,1),(417,1)}
       371:{2,4}:{(340,1),(341,1),(394,1)}
       372:{1,4,6}:{(342,1),(343,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(353,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(354,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(350,1),(398,1)}
       376:{3,5}:{(348,1),(351,1)}
       377:{2,4,6,7}:{(349,1),(350,1),(356,1),(357,1),(391,1),(397,1),(399,1),(400,1)}
       378:{2,4,5,7}:{(350,1),(351,1),(352,1),(358,1),(392,1),(398,1),(399,1),(400,1),(418,1),(421,1)}
       379:{2,6}:{(352,1),(359,1),(393,1)}
       380:{3,5,6}:{(353,1),(354,1),(396,1),(401,1),(402,1)}
       381:{3,4,6}:{(354,1),(355,1),(356,1),(401,1),(402,1)}
       382:{2,5}:{(356,1),(360,1),(395,1),(402,1)}
       383:{1,5,7}:{(357,1),(360,1),(399,1),(403,1)}
       384:{1,4,6}:{(358,1),(359,1),(400,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(362,1),(404,1)}
       386:{1,3,6}:{(361,1),(363,1),(370,1),(404,1),(405,1)}
       387:{2,3,7}:{(362,1),(363,1),(364,1),(404,1),(406,1)}
       388:{2,4,6}:{(363,1),(365,1),(371,1),(405,1),(406,1),(407,1),(424,1)}
       389:{1,3,4,7}:{(364,1),(365,1),(367,1),(375,1),(406,1),(408,1)}
       390:{1,3,5}:{(365,1),(368,1),(376,1),(407,1)}
       391:{1,4,6,7}:{(366,1),(367,1),(372,1),(377,1),(409,1),(410,1)}
       392:{1,4,5,7}:{(367,1),(368,1),(369,1),(378,1),(408,1),(409,1),(410,1)}
       393:{1,6}:{(369,1),(379,1)}
       394:{1,4}:{(370,1),(371,1)}
       395:{1,5}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(380,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(381,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{2,5,7}:{(377,1),(382,1),(383,1),(409,1),(412,1),(414,1)}
       400:{2,4,6}:{(378,1),(379,1),(384,1),(410,1),(413,1),(414,1),(424,1),(425,1)}
       401:{4,6}:{(380,1),(411,1),(415,1)}
       402:{3,5}:{(381,1),(382,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(414,1)}
       404:{1,3,7}:{(385,1),(386,1),(387,1),(416,1)}
       405:{1,4,6}:{(386,1),(388,1),(394,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(387,1),(388,1),(389,1),(416,1),(418,1)}
       407:{2,5}:{(388,1),(390,1),(417,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(392,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(391,1),(395,1),(399,1),(420,1)}
       410:{1,4,6}:{(392,1),(393,1),(400,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(400,1)}
       414:{2,5,6}:{(399,1),(400,1),(403,1),(420,1),(422,1)}
       415:{4,5}:{(401,1),(402,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(414,1)}
       421:{4,5,7}:{(411,1),(412,1),(415,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 991 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(33,1),(40,1),(41,1),(44,1),(73,1),(75,1),(93,1),(140,1),(150,1),(209,1),(213,1),(229,1)}
         1:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(104,1),(129,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(28,1),(56,1),(109,1),(127,1),(183,1),(256,1)}
         3:{1,3,4,7}:{(1,1),(9,1),(10,1),(44,1),(100,1),(209,1),(219,1)}
         4:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(36,1),(44,1),(83,1),(141,1),(213,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(13,1),(14,1),(40,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(162,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(12,1),(15,1),(40,1),(88,1),(90,1),(140,1),(146,1),(233,1)}
         8:{1,3,4,5,7}:{(3,1),(17,1),(18,1),(22,1),(48,1),(54,1),(62,1),(114,1),(115,1),(121,1),(129,1),(179,1),(180,1),(186,1),(193,1),(244,1),(254,1),(290,1)}
         9:{2,4,7}:{(3,1),(5,1),(20,1),(21,1),(185,1)}
        10:{1,3,4,6}:{(3,1),(6,1),(21,1),(22,1),(28,1),(72,1)}
        11:{1,3,6,7}:{(4,1),(6,1),(23,1),(24,1),(244,1),(256,1)}
        12:{1,2,5,7}:{(4,1),(7,1),(24,1),(61,1),(119,1),(178,1),(259,1)}
        13:{1,3,5,7}:{(5,1),(20,1),(25,1),(26,1),(63,1),(65,1),(130,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(22,1),(24,1),(27,1),(28,1),(175,1),(200,1),(203,1),(256,1)}
        16:{2,3,4,7}:{(9,1),(29,1),(30,1),(31,1),(78,1),(100,1),(143,1),(144,1),(168,1),(219,1),(270,1),(271,1),(297,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(29,1),(33,1),(34,1),(40,1),(75,1),(81,1),(84,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        18:{1,3,4,6}:{(8,1),(34,1),(35,1),(76,1),(91,1),(147,1),(148,1),(162,1),(217,1),(278,1),(303,1)}
        19:{1,3,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(44,1),(91,1),(100,1),(162,1)}
        20:{1,4,7}:{(9,1),(13,1),(39,1),(164,1)}
        21:{2,4,6}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5}:{(10,1),(40,1),(41,1),(97,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(36,1),(42,1),(43,1),(141,1),(162,1),(228,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(43,1),(44,1),(229,1),(232,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(45,1),(75,1),(95,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(39,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(43,1),(46,1),(47,1),(90,1),(97,1),(146,1),(149,1),(162,1),(166,1),(169,1),(217,1),(228,1)}
        28:{1,4,6}:{(15,1),(41,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(48,1),(49,1),(52,1),(129,1),(186,1),(197,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(20,1),(48,1),(50,1),(51,1),(63,1),(104,1),(172,1),(179,1),(202,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(21,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{1,3,4,6,7}:{(18,1),(53,1),(54,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        33:{1,4,5,7}:{(17,1),(20,1),(48,1),(56,1),(65,1),(114,1),(119,1),(172,1),(179,1),(237,1)}
        34:{2,4,6}:{(17,1),(18,1),(49,1),(56,1),(57,1),(109,1)}
        35:{1,3,5,6}:{(18,1),(22,1),(54,1),(57,1),(58,1),(125,1),(193,1)}
        36:{2,4,6,7}:{(19,1),(21,1),(23,1),(60,1),(61,1),(69,1),(127,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(59,1),(61,1),(62,1),(129,1)}
        38:{1,2,4,7}:{(20,1),(25,1),(50,1),(63,1),(64,1),(308,1),(309,1)}
        39:{1,4,6}:{(20,1),(21,1),(26,1),(65,1)}
        40:{2,5}:{(21,1),(22,1),(65,1)}
        41:{1,4,5}:{(22,1),(28,1),(66,1),(200,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(60,1),(67,1),(68,1),(196,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(129,1),(178,1),(197,1),(201,1),(244,1)}
        44:{1,4,7}:{(24,1),(28,1),(69,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(65,1),(68,1),(70,1),(71,1),(126,1),(130,1),(132,1),(135,1),(196,1)}
        47:{2,4,6}:{(27,1),(28,1),(66,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(33,1),(75,1),(76,1),(80,1),(229,1),(313,1)}
        49:{2,3,6}:{(29,1),(34,1),(76,1),(162,1),(217,1),(228,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(39,1),(76,1),(79,1),(80,1),(94,1),(139,1),(147,1),(164,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(40,1),(80,1),(81,1),(97,1),(166,1),(215,1),(273,1),(299,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(74,1),(83,1),(84,1),(141,1),(143,1),(213,1)}
        54:{1,3,5,7}:{(32,1),(35,1),(84,1),(85,1),(157,1)}
        55:{1,2,4,5,7}:{(33,1),(38,1),(75,1),(86,1),(87,1),(95,1),(144,1),(150,1),(155,1),(164,1),(213,1),(215,1),(224,1),(226,1),(269,1),(313,1)}
        56:{1,4,6}:{(33,1),(34,1),(76,1),(88,1)}
        57:{2,5,6}:{(34,1),(35,1),(40,1),(84,1),(88,1),(215,1)}
        58:{1,4,5,6}:{(35,1),(41,1),(85,1),(89,1),(91,1),(147,1),(226,1),(227,1),(278,1)}
        59:{1,3,5,6}:{(37,1),(90,1),(91,1),(162,1)}
        60:{1,4,6,7}:{(36,1),(39,1),(42,1),(92,1),(99,1),(161,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(90,1),(92,1)}
        62:{1,4,5,7}:{(37,1),(41,1),(44,1),(91,1),(93,1),(229,1)}
        63:{1,3,7}:{(38,1),(78,1),(94,1)}
        64:{1,2,4,6}:{(38,1),(39,1),(45,1),(79,1),(94,1),(95,1),(164,1),(300,1),(301,1),(302,1)}
        65:{1,5}:{(39,1),(40,1)}
        66:{2,4,5}:{(40,1),(41,1),(47,1),(96,1),(97,1),(166,1)}
        67:{1,2,6,7}:{(42,1),(45,1),(98,1),(141,1),(228,1),(277,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(92,1),(98,1),(99,1),(167,1)}
        69:{2,4,7}:{(43,1),(44,1),(47,1),(99,1),(100,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(95,1),(98,1),(101,1),(146,1),(166,1),(227,1),(228,1)}
        71:{1,4,6}:{(46,1),(47,1),(96,1),(99,1),(164,1)}
        72:{3,4,6}:{(47,1),(97,1),(100,1),(162,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(202,1),(259,1)}
        74:{2,3,6,7}:{(49,1),(53,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(56,1),(109,1),(256,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(57,1),(107,1),(110,1),(111,1),(125,1),(195,1),(248,1)}
        78:{2,3,7}:{(50,1),(63,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(65,1),(113,1),(114,1),(186,1),(200,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(54,1),(59,1),(116,1),(117,1),(189,1),(253,1)}
        83:{1,4,6,7}:{(53,1),(56,1),(106,1),(119,1),(179,1)}
        84:{2,5,7}:{(53,1),(54,1),(57,1),(119,1)}
        85:{1,4,5,7}:{(54,1),(58,1),(117,1),(120,1),(179,1),(255,1)}
        86:{1,3,5,7}:{(55,1),(63,1),(108,1),(121,1),(122,1),(130,1),(186,1),(193,1),(244,1),(290,1)}
        87:{1,2,4,6}:{(55,1),(56,1),(109,1),(122,1),(123,1),(181,1),(183,1),(194,1),(289,1),(314,1)}
        88:{1,5,6}:{(56,1),(57,1),(65,1),(119,1),(237,1)}
        89:{2,4,5,6}:{(57,1),(58,1),(66,1),(111,1),(120,1),(124,1),(125,1),(127,1),(183,1),(195,1),(246,1),(289,1)}
        90:{2,5,6}:{(59,1),(61,1),(126,1),(127,1)}
        91:{1,4,6}:{(59,1),(62,1),(127,1),(256,1)}
        92:{1,5,7}:{(60,1),(61,1),(65,1),(126,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(66,1),(69,1),(127,1),(128,1),(129,1),(197,1)}
        94:{1,3,6}:{(63,1),(64,1),(112,1),(130,1),(311,1)}
        95:{1,2,5}:{(64,1),(65,1),(113,1),(130,1),(310,1)}
        96:{1,4,5}:{(65,1),(66,1),(71,1),(132,1)}
        97:{3,5}:{(66,1),(72,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(70,1),(133,1),(178,1),(197,1),(255,1)}
        99:{1,4,7}:{(68,1),(69,1),(71,1)}
       100:{3,4,7}:{(69,1),(72,1),(129,1),(244,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(131,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(132,1),(134,1),(135,1),(136,1),(196,1),(198,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(229,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(83,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(84,1),(142,1),(143,1),(157,1),(225,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(86,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(88,1),(142,1),(146,1),(147,1),(217,1),(227,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(94,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(164,1),(209,1)}
       115:{3,4,5}:{(81,1),(97,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(84,1),(90,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(85,1),(91,1),(153,1),(277,1),(278,1)}
       118:{1,2,4,6,7}:{(83,1),(87,1),(141,1),(154,1),(155,1),(211,1),(213,1),(224,1)}
       119:{1,5,7}:{(83,1),(84,1),(88,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(89,1),(143,1),(153,1),(156,1),(157,1),(213,1),(225,1)}
       121:{1,3,4,7}:{(86,1),(144,1),(158,1),(164,1),(219,1),(224,1),(270,1)}
       122:{1,3,6}:{(86,1),(87,1),(145,1),(217,1),(303,1)}
       123:{1,2,5,6}:{(87,1),(88,1),(95,1),(146,1),(155,1),(159,1),(215,1),(268,1),(301,1)}
       124:{1,4,5,6}:{(88,1),(89,1),(96,1),(147,1),(156,1),(160,1),(161,1),(263,1),(295,1)}
       125:{3,5,6}:{(89,1),(97,1),(148,1),(157,1),(162,1),(217,1),(273,1),(303,1)}
       126:{1,5,6}:{(90,1),(92,1),(161,1)}
       127:{2,4,6}:{(90,1),(91,1),(93,1),(161,1),(162,1),(228,1)}
       128:{1,4,5,7}:{(92,1),(93,1),(96,1),(99,1),(161,1),(163,1)}
       129:{3,5,7}:{(93,1),(97,1),(100,1),(162,1)}
       130:{1,3,5}:{(94,1),(95,1),(149,1),(164,1)}
       131:{1,2,4,5}:{(95,1),(96,1),(101,1),(150,1),(164,1),(165,1),(166,1),(221,1),(230,1),(276,1),(302,1)}
       132:{1,3,5}:{(96,1),(97,1),(102,1),(166,1)}
       133:{1,2,4,7}:{(98,1),(99,1),(101,1),(167,1),(168,1),(213,1),(272,1),(304,1)}
       134:{1,3,4,7}:{(99,1),(100,1),(102,1),(163,1),(167,1),(168,1)}
       135:{1,3,6}:{(101,1),(165,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(166,1),(168,1),(169,1),(170,1),(228,1),(230,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(256,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(200,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(119,1),(178,1),(179,1),(244,1),(255,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(121,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(122,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(125,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(130,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(132,1),(184,1),(186,1),(187,1),(198,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(119,1),(126,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(120,1),(127,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,3,6,7}:{(118,1),(122,1),(177,1),(191,1),(244,1),(314,1)}
       155:{1,2,5,7}:{(118,1),(119,1),(123,1),(178,1),(191,1),(242,1),(309,1)}
       156:{1,4,5,7}:{(119,1),(120,1),(124,1),(179,1),(188,1),(192,1)}
       157:{3,5,7}:{(120,1),(125,1),(180,1),(189,1),(244,1)}
       158:{1,3,4,6}:{(121,1),(122,1),(181,1),(193,1),(194,1),(247,1)}
       159:{1,3,5,6}:{(122,1),(123,1),(130,1),(182,1),(191,1),(193,1),(194,1),(286,1),(310,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(132,1),(184,1),(192,1),(195,1),(196,1),(284,1),(306,1)}
       161:{1,4,6}:{(126,1),(127,1),(128,1),(196,1)}
       162:{3,6}:{(127,1),(129,1)}
       163:{1,3,5,7}:{(128,1),(129,1),(132,1),(134,1),(196,1),(197,1)}
       164:{1,4}:{(130,1),(185,1)}
       165:{1,3,5}:{(131,1),(135,1),(186,1),(198,1),(199,1),(311,1)}
       166:{2,5}:{(132,1),(136,1),(200,1)}
       167:{1,3,7}:{(133,1),(135,1),(201,1),(244,1)}
       168:{2,4,7}:{(134,1),(136,1),(197,1),(201,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(199,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(200,1),(202,1),(203,1),(256,1),(257,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(227,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(154,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(157,1)}
       181:{2,4,6}:{(144,1),(145,1),(158,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(159,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(160,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(164,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(166,1),(218,1),(220,1),(221,1),(230,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(156,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(157,1),(162,1),(303,1)}
       190:{1,3,4,6,7}:{(154,1),(158,1),(211,1),(223,1),(224,1),(270,1),(278,1),(303,1)}
       191:{1,3,5,7}:{(154,1),(155,1),(159,1),(212,1),(224,1),(298,1),(313,1)}
       192:{1,3,5,7}:{(156,1),(157,1),(160,1),(214,1),(222,1),(225,1)}
       193:{1,3,5}:{(158,1),(215,1),(226,1),(273,1)}
       194:{1,4,6}:{(159,1),(164,1),(216,1),(224,1),(226,1)}
       195:{2,5,6}:{(160,1),(166,1),(218,1),(225,1),(227,1),(228,1),(299,1),(312,1)}
       196:{1,3,6}:{(161,1),(162,1),(163,1),(228,1)}
       197:{2,5,7}:{(163,1),(166,1),(168,1),(228,1),(229,1)}
       198:{1,3,4}:{(164,1),(165,1),(219,1),(230,1)}
       199:{2,3,5}:{(165,1),(166,1),(169,1),(230,1),(231,1),(276,1),(305,1)}
       200:{1,5}:{(166,1),(170,1)}
       201:{2,3,7}:{(167,1),(168,1),(169,1),(232,1),(304,1)}
       202:{1,4,7}:{(168,1),(170,1),(229,1),(232,1)}
       203:{1,3,6}:{(169,1),(170,1),(231,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(255,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(190,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(191,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(192,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(193,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(194,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(195,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(200,1),(249,1),(251,1),(257,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(192,1),(196,1),(252,1),(306,1)}
       223:{1,3,5,7}:{(190,1),(193,1),(242,1),(253,1),(254,1),(290,1)}
       224:{1,4,7}:{(191,1),(194,1),(243,1)}
       225:{2,5,7}:{(192,1),(195,1),(245,1),(252,1),(255,1)}
       226:{1,4,5}:{(193,1),(194,1),(246,1),(310,1)}
       227:{1,5,6}:{(195,1),(200,1),(249,1),(255,1),(256,1),(310,1),(314,1)}
       228:{2,6}:{(196,1),(197,1),(256,1)}
       229:{1,5,7}:{(197,1),(200,1),(202,1),(256,1)}
       230:{2,4}:{(198,1),(199,1),(257,1)}
       231:{1,3,5}:{(199,1),(200,1),(203,1),(257,1),(258,1),(294,1)}
       232:{1,3,7}:{(201,1),(202,1),(203,1),(259,1)}
       233:{1,2,6}:{(203,1),(258,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(223,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(224,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(225,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(226,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(227,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(230,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(225,1),(228,1),(277,1),(312,1)}
       253:{1,3,5,6}:{(223,1),(268,1),(278,1),(303,1)}
       254:{1,4,5,7}:{(223,1),(224,1),(226,1),(269,1),(278,1),(313,1)}
       255:{1,5,7}:{(225,1),(227,1),(272,1),(277,1)}
       256:{1,6}:{(228,1),(229,1)}
       257:{1,4}:{(230,1),(231,1)}
       258:{1,2,5}:{(231,1),(233,1),(276,1),(279,1)}
       259:{1,2,7}:{(232,1),(233,1),(304,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(253,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(254,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(255,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(257,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(255,1),(256,1),(314,1)}
       278:{1,4,6}:{(253,1),(254,1),(289,1),(314,1)}
       279:{1,2,4}:{(257,1),(258,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 992 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

 993 :   0:{1,2,5,6}:{(2,1),(3,1),(4,1),(69,1),(129,1),(149,1),(155,1),(217,1),(231,1),(306,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(20,1),(27,1),(69,1),(79,1),(131,1),(147,1),(217,1),(227,1),(304,1)}
         2:{1,3,5,6}:{(0,1),(7,1),(8,1),(9,1),(10,1),(41,1),(89,1),(109,1),(110,1),(169,1),(261,1),(263,1),(342,1),(394,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(43,1),(114,1),(194,1),(268,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(108,1),(175,1),(198,1),(278,1)}
         5:{1,3,5}:{(1,1),(10,1),(13,1),(14,1),(177,1),(272,1)}
         6:{1,2,5,6}:{(15,1),(16,1),(17,1),(75,1),(123,1),(153,1),(213,1),(219,1),(231,1),(248,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(24,1),(57,1),(60,1),(69,1),(123,1),(140,1),(141,1),(155,1),(219,1),(231,1),(235,1),(309,1),(322,1),(378,1),(381,1)}
         8:{1,4,6}:{(2,1),(18,1),(20,1),(22,1),(304,1)}
         9:{1,3,5,7}:{(2,1),(4,1),(19,1),(22,1),(23,1),(25,1),(74,1),(130,1),(218,1)}
        10:{1,3,6}:{(3,1),(5,1),(24,1),(25,1),(309,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(22,1),(25,1),(73,1),(159,1),(241,1),(310,1)}
        12:{1,2,6,7}:{(4,1),(23,1),(155,1),(245,1),(306,1),(320,1)}
        13:{1,3,4}:{(5,1),(27,1),(304,1),(314,1)}
        14:{2,3,5}:{(5,1),(24,1),(27,1),(28,1),(69,1),(147,1),(148,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(30,1),(31,1),(32,1),(46,1),(84,1),(107,1),(171,1),(172,1),(200,1),(202,1),(290,1),(359,1)}
        16:{1,2,4,6}:{(6,1),(29,1),(30,1),(32,1),(33,1),(86,1),(254,1),(268,1),(332,1)}
        17:{1,2,5,7}:{(6,1),(31,1),(33,1),(34,1),(113,1),(170,1),(259,1),(278,1)}
        18:{2,4,6}:{(7,1),(8,1),(30,1),(35,1),(36,1),(37,1),(281,1),(400,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(31,1),(37,1),(38,1),(47,1),(90,1),(95,1),(100,1),(108,1),(170,1),(278,1),(346,1),(398,1)}
        20:{1,4,5}:{(8,1),(35,1),(41,1),(169,1),(394,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(13,1),(36,1),(41,1),(43,1),(44,1),(109,1)}
        22:{1,4,7}:{(8,1),(9,1),(37,1)}
        23:{1,3,6,7}:{(9,1),(12,1),(38,1),(45,1),(109,1),(263,1),(342,1)}
        24:{2,3,6}:{(10,1),(14,1),(43,1),(46,1),(47,1),(194,1)}
        25:{1,3,7}:{(10,1),(11,1),(47,1),(346,1)}
        26:{1,3,4,5}:{(13,1),(41,1),(48,1),(49,1),(91,1),(102,1),(180,1),(206,1),(272,1),(291,1)}
        27:{2,4}:{(13,1),(14,1),(50,1)}
        28:{1,3,5}:{(14,1),(46,1),(50,1),(51,1),(107,1),(117,1)}
        29:{1,2,4,5}:{(16,1),(52,1),(53,1),(119,1),(123,1),(153,1),(211,1),(227,1),(246,1),(293,1),(296,1)}
        30:{1,4,6}:{(15,1),(18,1),(53,1),(55,1),(246,1)}
        31:{1,3,5,7}:{(15,1),(17,1),(19,1),(55,1),(56,1),(58,1),(76,1),(128,1),(154,1)}
        32:{1,3,6}:{(16,1),(52,1),(57,1),(58,1),(309,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(55,1),(58,1),(127,1),(299,1),(310,1),(364,1)}
        34:{1,2,6,7}:{(17,1),(56,1),(219,1),(248,1),(303,1),(320,1)}
        35:{2,4,5}:{(18,1),(20,1),(53,1),(60,1),(69,1),(123,1),(381,1),(414,1)}
        36:{3,4,6}:{(18,1),(60,1),(63,1),(140,1),(309,1),(314,1)}
        37:{2,4,7}:{(18,1),(19,1),(22,1),(55,1),(63,1),(413,1)}
        38:{2,3,6,7}:{(19,1),(23,1),(56,1),(64,1),(140,1),(155,1),(219,1),(320,1),(322,1),(375,1)}
        39:{2,3,4}:{(27,1),(65,1),(66,1),(148,1),(242,1),(314,1)}
        40:{1,4,5,6}:{(20,1),(59,1),(67,1),(68,1),(71,1),(213,1),(224,1),(317,1),(325,1),(383,1)}
        41:{1,3,5}:{(20,1),(21,1),(60,1),(69,1)}
        42:{1,4,5,7}:{(20,1),(22,1),(61,1),(70,1),(71,1),(74,1),(218,1)}
        43:{2,4,6}:{(21,1),(24,1),(27,1),(69,1),(72,1),(73,1),(155,1)}
        44:{1,3,4,7}:{(21,1),(22,1),(25,1),(63,1),(70,1),(73,1)}
        45:{1,4,6,7}:{(22,1),(23,1),(64,1),(71,1),(74,1),(371,1)}
        46:{1,3,6}:{(24,1),(28,1),(72,1),(75,1),(76,1)}
        47:{2,3,7}:{(24,1),(25,1),(73,1),(76,1),(241,1)}
        48:{1,3,4,6}:{(26,1),(67,1),(77,1),(78,1),(132,1),(145,1),(224,1),(309,1)}
        49:{2,4,5}:{(26,1),(27,1),(65,1),(69,1),(77,1),(79,1),(147,1),(242,1),(323,1)}
        50:{1,4}:{(27,1),(28,1)}
        51:{1,2,5}:{(28,1),(75,1),(80,1),(147,1)}
        52:{1,3,5}:{(29,1),(32,1),(81,1),(82,1),(272,1),(331,1)}
        53:{1,4,5}:{(30,1),(35,1),(84,1),(107,1),(359,1)}
        54:{1,3,4,6}:{(30,1),(32,1),(36,1),(81,1),(84,1),(86,1),(87,1),(171,1)}
        55:{1,4,7}:{(30,1),(31,1),(37,1)}
        56:{1,3,6,7}:{(31,1),(34,1),(38,1),(88,1),(171,1),(202,1),(290,1)}
        57:{2,3,6}:{(32,1),(82,1),(86,1),(89,1),(90,1),(332,1)}
        58:{1,3,7}:{(32,1),(33,1),(90,1),(346,1)}
        59:{2,4,5,6}:{(35,1),(40,1),(83,1),(92,1),(93,1),(96,1),(104,1),(166,1),(178,1),(268,1),(275,1),(276,1),(351,1),(352,1),(400,1),(401,1)}
        60:{3,5}:{(35,1),(36,1)}
        61:{2,4,5,7}:{(35,1),(37,1),(42,1),(85,1),(95,1),(96,1),(100,1),(108,1),(170,1),(193,1)}
        62:{2,3,4,6}:{(36,1),(39,1),(43,1),(86,1),(94,1),(97,1),(98,1),(101,1),(161,1),(178,1),(189,1),(191,1),(251,1),(281,1),(284,1),(345,1),(355,1),(388,1)}
        63:{3,4,7}:{(36,1),(37,1),(95,1),(346,1)}
        64:{2,4,6,7}:{(37,1),(38,1),(45,1),(88,1),(96,1),(99,1),(100,1),(355,1)}
        65:{2,3,5}:{(39,1),(49,1),(101,1),(102,1),(272,1)}
        66:{1,3,4}:{(39,1),(50,1),(102,1),(103,1),(117,1),(177,1),(267,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(48,1),(92,1),(104,1),(105,1),(109,1),(291,1),(360,1)}
        68:{1,4,5,7}:{(40,1),(93,1),(105,1),(106,1),(259,1),(269,1),(348,1)}
        69:{2,5}:{(41,1),(43,1),(107,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(95,1),(108,1),(109,1)}
        71:{1,4,6}:{(42,1),(96,1),(109,1),(110,1),(263,1)}
        72:{1,4,6}:{(43,1),(46,1),(50,1),(107,1),(112,1),(202,1)}
        73:{2,4,7}:{(43,1),(44,1),(47,1),(108,1),(112,1)}
        74:{1,5,7}:{(45,1),(100,1),(110,1),(394,1)}
        75:{1,2,6}:{(46,1),(51,1),(113,1),(194,1)}
        76:{1,3,7}:{(46,1),(47,1),(112,1),(113,1)}
        77:{2,4,6}:{(48,1),(49,1),(101,1),(104,1),(114,1),(115,1),(194,1)}
        78:{1,3,4,7}:{(48,1),(105,1),(115,1),(179,1),(195,1),(269,1),(346,1)}
        79:{1,4,5}:{(49,1),(50,1),(102,1),(107,1),(114,1),(267,1),(343,1)}
        80:{1,2,4}:{(50,1),(51,1),(103,1),(117,1)}
        81:{1,3,4}:{(52,1),(119,1),(246,1),(314,1)}
        82:{2,3,5}:{(52,1),(57,1),(119,1),(120,1),(123,1),(296,1),(297,1)}
        83:{1,4,5,6}:{(53,1),(59,1),(121,1),(122,1),(125,1),(149,1),(224,1),(317,1),(368,1),(409,1)}
        84:{1,3,5}:{(53,1),(54,1),(60,1),(123,1)}
        85:{1,4,5,7}:{(53,1),(55,1),(61,1),(124,1),(125,1),(128,1),(154,1)}
        86:{2,4,6}:{(54,1),(57,1),(119,1),(123,1),(126,1),(127,1),(219,1)}
        87:{1,3,4,7}:{(54,1),(55,1),(58,1),(63,1),(124,1),(127,1)}
        88:{1,4,6,7}:{(55,1),(56,1),(64,1),(125,1),(128,1),(328,1)}
        89:{1,3,6}:{(57,1),(120,1),(126,1),(129,1),(130,1)}
        90:{2,3,7}:{(57,1),(58,1),(127,1),(130,1),(364,1)}
        91:{3,4,5}:{(60,1),(132,1),(133,1),(314,1),(373,1),(414,1)}
        92:{3,5,6}:{(59,1),(60,1),(132,1),(136,1),(140,1),(309,1),(373,1),(411,1)}
        93:{2,4,5,7}:{(59,1),(68,1),(122,1),(136,1),(137,1),(150,1),(214,1),(225,1),(310,1),(312,1),(313,1),(376,1),(413,1)}
        94:{2,3,5}:{(60,1),(62,1),(69,1),(123,1),(133,1),(138,1),(323,1),(373,1),(381,1),(406,1)}
        95:{3,5,7}:{(60,1),(61,1),(63,1),(140,1)}
        96:{2,4,6}:{(61,1),(71,1),(125,1),(140,1),(141,1),(155,1),(219,1),(238,1)}
        97:{1,3,4,6}:{(62,1),(66,1),(72,1),(126,1),(138,1),(142,1),(143,1),(145,1),(156,1),(208,1),(220,1),(224,1),(237,1),(246,1),(294,1),(304,1),(307,1),(309,1),(314,1),(328,1),(371,1),(377,1),(404,1)}
        98:{2,3,4,7}:{(62,1),(63,1),(73,1),(127,1),(139,1),(143,1),(146,1),(225,1),(239,1),(295,1),(321,1),(324,1),(374,1),(407,1)}
        99:{3,4,6,7}:{(63,1),(64,1),(140,1),(144,1),(238,1),(375,1),(377,1),(413,1)}
       100:{2,5,7}:{(64,1),(74,1),(128,1),(141,1),(144,1),(381,1)}
       101:{2,3,6}:{(65,1),(77,1),(145,1),(146,1),(309,1)}
       102:{1,3,5}:{(65,1),(66,1),(79,1),(145,1),(147,1)}
       103:{2,4}:{(66,1),(147,1),(148,1)}
       104:{2,5,6}:{(67,1),(69,1),(77,1),(149,1),(150,1),(155,1),(323,1),(382,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(78,1),(136,1),(150,1),(151,1)}
       106:{1,4,6,7}:{(68,1),(71,1),(137,1),(151,1),(152,1),(303,1),(383,1)}
       107:{1,5}:{(69,1),(72,1)}
       108:{2,5,7}:{(69,1),(70,1),(73,1),(154,1),(155,1)}
       109:{1,3,6}:{(70,1),(71,1),(140,1),(155,1)}
       110:{1,5,6}:{(71,1),(74,1),(141,1)}
       111:{1,2,4,6}:{(72,1),(75,1),(80,1),(142,1),(153,1),(156,1),(157,1),(246,1),(248,1),(293,1),(328,1),(361,1),(404,1)}
       112:{1,4,7}:{(72,1),(73,1),(76,1),(154,1)}
       113:{1,2,7}:{(75,1),(76,1),(241,1)}
       114:{1,4,6}:{(77,1),(79,1),(145,1),(149,1),(159,1)}
       115:{2,4,7}:{(77,1),(78,1),(146,1),(150,1),(159,1),(241,1)}
       116:{1,2,4,5}:{(79,1),(80,1),(147,1),(153,1),(158,1),(160,1),(227,1),(242,1),(246,1),(323,1),(325,1)}
       117:{1,3}:{(80,1),(148,1)}
       118:{1,3,4,5}:{(81,1),(84,1),(91,1),(162,1),(163,1),(180,1),(252,1),(272,1),(337,1),(390,1)}
       119:{2,4}:{(81,1),(82,1),(164,1)}
       120:{1,3,5}:{(82,1),(89,1),(164,1),(165,1),(169,1),(257,1)}
       121:{1,3,5,6}:{(83,1),(84,1),(92,1),(162,1),(166,1),(167,1),(171,1),(390,1),(419,1)}
       122:{1,4,5,7}:{(83,1),(93,1),(167,1),(168,1),(198,1),(269,1),(348,1)}
       123:{2,5}:{(84,1),(86,1),(169,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(87,1),(95,1),(170,1),(171,1)}
       125:{1,4,6}:{(85,1),(96,1),(171,1),(172,1),(202,1)}
       126:{1,4,6}:{(86,1),(89,1),(164,1),(169,1),(174,1),(263,1)}
       127:{2,4,7}:{(86,1),(87,1),(90,1),(170,1),(174,1)}
       128:{1,5,7}:{(88,1),(100,1),(172,1),(359,1)}
       129:{1,2,6}:{(89,1),(165,1),(175,1),(332,1)}
       130:{1,3,7}:{(89,1),(90,1),(174,1),(175,1)}
       131:{1,2,4}:{(103,1),(176,1),(177,1),(267,1)}
       132:{3,4,6}:{(91,1),(92,1),(178,1),(179,1),(400,1)}
       133:{2,4,5}:{(91,1),(94,1),(178,1),(180,1),(281,1)}
       134:{3,4,5,7}:{(91,1),(95,1),(179,1),(181,1),(182,1),(193,1),(271,1),(349,1),(396,1),(399,1),(422,1)}
       135:{2,3,5,6}:{(92,1),(94,1),(101,1),(104,1),(166,1),(178,1),(183,1),(184,1),(189,1),(251,1),(275,1)}
       136:{3,5,7}:{(92,1),(93,1),(179,1),(185,1),(346,1)}
       137:{2,4,6,7}:{(93,1),(96,1),(106,1),(168,1),(185,1),(186,1),(199,1),(260,1),(280,1),(401,1)}
       138:{1,3,5}:{(94,1),(97,1),(107,1),(169,1),(180,1),(187,1),(272,1),(343,1),(359,1),(394,1),(399,1),(416,1)}
       139:{2,3,5,7}:{(94,1),(95,1),(98,1),(108,1),(170,1),(181,1),(188,1),(189,1),(356,1),(396,1),(418,1)}
       140:{3,6}:{(95,1),(96,1)}
       141:{2,5,6}:{(96,1),(100,1),(110,1),(172,1),(190,1)}
       142:{2,4,6}:{(97,1),(103,1),(187,1),(191,1),(192,1),(194,1),(253,1),(281,1),(283,1),(332,1)}
       143:{1,3,4,7}:{(97,1),(98,1),(112,1),(174,1),(188,1),(192,1),(195,1),(203,1),(264,1),(269,1),(289,1),(333,1),(341,1),(344,1),(346,1),(349,1),(417,1)}
       144:{3,5,7}:{(99,1),(100,1),(190,1),(193,1),(399,1)}
       145:{1,3,6}:{(101,1),(102,1),(114,1),(194,1),(195,1)}
       146:{2,3,7}:{(101,1),(115,1),(195,1),(346,1)}
       147:{2,5}:{(102,1),(103,1),(194,1)}
       148:{2,3}:{(103,1),(117,1),(177,1)}
       149:{1,5,6}:{(104,1),(107,1),(114,1),(198,1),(202,1),(343,1),(395,1)}
       150:{2,5,7}:{(104,1),(105,1),(115,1),(198,1),(199,1)}
       151:{1,3,6,7}:{(105,1),(106,1),(109,1),(185,1),(199,1),(360,1)}
       152:{1,5,6,7}:{(106,1),(110,1),(186,1),(348,1),(403,1)}
       153:{1,2,5}:{(107,1),(111,1),(187,1),(200,1),(359,1),(416,1)}
       154:{1,5,7}:{(107,1),(108,1),(112,1),(202,1)}
       155:{2,6}:{(108,1),(109,1),(202,1)}
       156:{1,3,6}:{(111,1),(117,1),(191,1),(200,1),(203,1),(331,1)}
       157:{1,2,4,7}:{(111,1),(112,1),(113,1),(192,1),(201,1),(203,1),(289,1),(386,1),(417,1)}
       158:{1,2,4,6}:{(114,1),(116,1),(194,1),(197,1),(204,1),(205,1),(268,1),(284,1),(286,1)}
       159:{1,4,7}:{(114,1),(115,1),(195,1),(198,1)}
       160:{1,3,5}:{(116,1),(117,1),(196,1),(204,1),(206,1),(272,1)}
       161:{2,3,4}:{(119,1),(207,1),(208,1),(297,1),(314,1),(365,1)}
       162:{1,3,4,6}:{(118,1),(121,1),(132,1),(209,1),(210,1),(224,1),(294,1),(309,1)}
       163:{2,4,5}:{(118,1),(119,1),(123,1),(207,1),(209,1),(211,1),(296,1),(365,1),(406,1)}
       164:{1,4}:{(119,1),(120,1)}
       165:{1,2,5}:{(120,1),(129,1),(212,1),(296,1)}
       166:{2,5,6}:{(121,1),(123,1),(209,1),(213,1),(214,1),(219,1),(406,1),(424,1)}
       167:{1,3,5,7}:{(121,1),(122,1),(136,1),(210,1),(214,1),(215,1)}
       168:{1,4,6,7}:{(122,1),(125,1),(137,1),(215,1),(216,1),(245,1),(409,1)}
       169:{1,5}:{(123,1),(126,1)}
       170:{2,5,7}:{(123,1),(124,1),(127,1),(218,1),(219,1)}
       171:{1,3,6}:{(124,1),(125,1),(140,1),(219,1)}
       172:{1,5,6}:{(125,1),(128,1),(141,1)}
       173:{1,2,4,6}:{(126,1),(129,1),(131,1),(142,1),(212,1),(217,1),(220,1),(221,1),(222,1),(304,1),(306,1),(307,1),(371,1)}
       174:{1,4,7}:{(126,1),(127,1),(130,1),(218,1)}
       175:{1,2,7}:{(129,1),(130,1),(364,1)}
       176:{1,2,5}:{(131,1),(147,1),(222,1),(223,1)}
       177:{1,3}:{(131,1),(148,1)}
       178:{2,4,6}:{(132,1),(133,1),(135,1),(224,1),(225,1)}
       179:{3,4,7}:{(132,1),(136,1),(225,1),(413,1)}
       180:{1,4,5}:{(133,1),(138,1),(224,1),(227,1),(246,1),(304,1),(414,1)}
       181:{2,4,5,7}:{(133,1),(134,1),(139,1),(225,1),(228,1),(229,1),(312,1),(321,1),(381,1)}
       182:{3,4,6}:{(134,1),(140,1),(229,1),(230,1),(238,1),(411,1),(425,1)}
       183:{1,3,5,6}:{(135,1),(138,1),(145,1),(149,1),(213,1),(224,1),(231,1),(232,1),(237,1),(294,1),(309,1),(317,1),(378,1)}
       184:{2,3,5,7}:{(135,1),(136,1),(146,1),(150,1),(214,1),(225,1),(232,1),(233,1),(295,1),(312,1)}
       185:{3,6,7}:{(136,1),(137,1),(140,1),(411,1)}
       186:{2,5,6,7}:{(137,1),(141,1),(152,1),(216,1),(234,1),(312,1),(376,1),(415,1)}
       187:{2,5}:{(138,1),(142,1)}
       188:{1,3,5,7}:{(138,1),(139,1),(143,1),(154,1),(218,1),(228,1),(236,1),(237,1),(315,1),(372,1),(423,1)}
       189:{2,3,6}:{(139,1),(140,1),(155,1),(219,1),(229,1),(237,1),(382,1),(411,1),(424,1)}
       190:{3,5,6}:{(140,1),(141,1),(144,1),(238,1)}
       191:{2,3,6}:{(142,1),(148,1),(156,1),(220,1),(235,1),(239,1),(297,1),(309,1)}
       192:{2,4,7}:{(142,1),(143,1),(236,1),(239,1),(241,1),(364,1)}
       193:{4,5,7}:{(144,1),(238,1),(413,1),(414,1)}
       194:{2,6}:{(145,1),(147,1),(241,1)}
       195:{1,3,7}:{(145,1),(146,1),(159,1),(241,1)}
       196:{2,3,5}:{(147,1),(148,1),(160,1),(223,1),(240,1),(242,1),(323,1)}
       197:{1,2,5,6}:{(149,1),(153,1),(158,1),(231,1),(243,1),(244,1),(248,1),(323,1),(361,1),(382,1)}
       198:{1,5,7}:{(149,1),(150,1),(159,1),(245,1)}
       199:{2,6,7}:{(150,1),(151,1),(155,1),(245,1),(382,1)}
       200:{1,3,5}:{(153,1),(156,1),(235,1),(246,1)}
       201:{1,2,5,7}:{(153,1),(154,1),(157,1),(236,1),(247,1),(248,1),(423,1)}
       202:{1,6}:{(154,1),(155,1)}
       203:{1,3,7}:{(156,1),(157,1),(239,1)}
       204:{1,3,6}:{(158,1),(160,1),(240,1),(250,1),(309,1)}
       205:{1,2,4,7}:{(158,1),(159,1),(241,1),(244,1),(250,1),(310,1),(324,1),(326,1)}
       206:{1,3,4}:{(160,1),(242,1),(246,1),(314,1)}
       207:{2,3,5}:{(161,1),(163,1),(251,1),(252,1),(272,1)}
       208:{1,3,4}:{(161,1),(164,1),(252,1),(253,1),(257,1),(331,1),(387,1)}
       209:{2,4,6}:{(162,1),(163,1),(166,1),(251,1),(254,1),(255,1),(332,1)}
       210:{1,3,4,7}:{(162,1),(167,1),(179,1),(255,1),(269,1),(333,1),(346,1)}
       211:{1,4,5}:{(163,1),(164,1),(169,1),(252,1),(254,1),(387,1),(416,1)}
       212:{1,2,4}:{(164,1),(165,1),(253,1),(257,1)}
       213:{1,5,6}:{(166,1),(169,1),(254,1),(259,1),(263,1),(416,1),(426,1)}
       214:{2,5,7}:{(166,1),(167,1),(255,1),(259,1),(260,1)}
       215:{1,3,6,7}:{(167,1),(168,1),(171,1),(185,1),(260,1),(419,1)}
       216:{1,5,6,7}:{(168,1),(172,1),(186,1),(348,1),(420,1)}
       217:{1,2,5}:{(169,1),(173,1),(187,1),(261,1),(343,1),(394,1)}
       218:{1,5,7}:{(169,1),(170,1),(174,1),(263,1)}
       219:{2,6}:{(170,1),(171,1),(263,1)}
       220:{1,3,6}:{(173,1),(177,1),(191,1),(257,1),(261,1),(264,1)}
       221:{1,2,4,7}:{(173,1),(174,1),(175,1),(192,1),(262,1),(264,1),(266,1),(341,1),(344,1)}
       222:{1,2,6}:{(176,1),(194,1),(265,1),(266,1)}
       223:{1,3,5}:{(176,1),(177,1),(196,1),(265,1),(267,1),(343,1)}
       224:{1,4,6}:{(178,1),(180,1),(183,1),(268,1),(269,1),(400,1)}
       225:{2,4,7}:{(178,1),(179,1),(184,1),(269,1)}
       226:{3,4,6,7}:{(179,1),(182,1),(185,1),(270,1),(271,1),(280,1)}
       227:{2,4,5}:{(180,1),(187,1),(268,1),(272,1),(281,1)}
       228:{1,4,5,7}:{(180,1),(181,1),(188,1),(269,1),(273,1),(274,1),(289,1),(341,1),(348,1),(359,1),(394,1)}
       229:{2,4,6}:{(181,1),(182,1),(189,1),(274,1),(275,1)}
       230:{3,5,6}:{(182,1),(271,1),(275,1),(276,1),(399,1)}
       231:{2,5,6}:{(183,1),(187,1),(194,1),(268,1),(278,1),(283,1),(332,1)}
       232:{1,3,5,7}:{(183,1),(184,1),(195,1),(198,1),(259,1),(269,1),(278,1),(279,1),(333,1),(346,1),(348,1),(398,1)}
       233:{2,3,6,7}:{(184,1),(185,1),(189,1),(199,1),(260,1),(270,1),(279,1)}
       234:{3,5,6,7}:{(185,1),(186,1),(190,1),(271,1),(280,1),(398,1),(421,1)}
       235:{2,3,5}:{(187,1),(191,1),(200,1),(261,1),(272,1),(281,1)}
       236:{2,5,7}:{(187,1),(188,1),(192,1),(283,1)}
       237:{1,3,6}:{(188,1),(189,1),(202,1),(263,1),(274,1),(283,1),(350,1),(395,1),(426,1)}
       238:{4,6}:{(190,1),(193,1)}
       239:{2,3,7}:{(191,1),(192,1),(203,1),(264,1),(346,1)}
       240:{2,3,6}:{(194,1),(196,1),(204,1),(265,1),(284,1),(285,1)}
       241:{2,7}:{(194,1),(195,1)}
       242:{2,4}:{(196,1),(206,1),(267,1)}
       243:{1,3,5,6}:{(197,1),(200,1),(204,1),(277,1),(286,1),(287,1),(290,1),(291,1),(359,1),(360,1),(385,1),(403,1),(416,1),(426,1)}
       244:{1,2,5,7}:{(197,1),(198,1),(205,1),(278,1),(287,1),(288,1),(356,1),(386,1)}
       245:{1,6,7}:{(198,1),(199,1),(202,1),(395,1)}
       246:{1,4}:{(200,1),(281,1)}
       247:{1,3,5,7}:{(200,1),(201,1),(203,1),(282,1),(289,1),(290,1),(359,1)}
       248:{1,2,6}:{(201,1),(202,1),(283,1),(290,1),(426,1)}
       249:{1,3,4,6}:{(204,1),(206,1),(284,1),(286,1),(291,1),(292,1),(345,1),(360,1)}
       250:{1,3,7}:{(204,1),(205,1),(285,1),(346,1)}
       251:{2,3,6}:{(207,1),(209,1),(294,1),(295,1),(309,1)}
       252:{1,3,5}:{(207,1),(208,1),(211,1),(294,1),(296,1)}
       253:{2,4}:{(208,1),(296,1),(297,1)}
       254:{1,4,6}:{(209,1),(211,1),(213,1),(294,1),(299,1)}
       255:{2,4,7}:{(209,1),(210,1),(214,1),(295,1),(299,1),(364,1)}
       256:{1,2,4,5}:{(211,1),(212,1),(217,1),(227,1),(296,1),(298,1),(300,1),(304,1),(365,1),(368,1),(406,1)}
       257:{1,3}:{(212,1),(297,1)}
       258:{1,2,5,6}:{(213,1),(217,1),(222,1),(231,1),(298,1),(301,1),(302,1),(306,1),(406,1),(424,1)}
       259:{1,5,7}:{(213,1),(214,1),(299,1),(303,1)}
       260:{2,6,7}:{(214,1),(215,1),(219,1),(303,1),(424,1)}
       261:{1,3,5}:{(217,1),(220,1),(235,1),(304,1)}
       262:{1,2,5,7}:{(217,1),(218,1),(221,1),(236,1),(305,1),(306,1),(372,1)}
       263:{1,6}:{(218,1),(219,1)}
       264:{1,3,7}:{(220,1),(221,1),(239,1)}
       265:{1,3,6}:{(222,1),(223,1),(240,1),(307,1),(308,1)}
       266:{1,2,7}:{(222,1),(241,1),(308,1)}
       267:{1,4}:{(223,1),(242,1)}
       268:{2,4,6}:{(224,1),(227,1),(231,1),(309,1),(310,1)}
       269:{1,4,7}:{(224,1),(225,1),(232,1),(310,1),(413,1)}
       270:{2,4,6,7}:{(225,1),(226,1),(229,1),(233,1),(311,1),(312,1)}
       271:{3,5,7}:{(226,1),(230,1),(312,1),(313,1)}
       272:{3,5}:{(227,1),(309,1),(314,1)}
       273:{2,4,5,7}:{(227,1),(228,1),(236,1),(310,1),(315,1),(316,1),(321,1),(376,1),(381,1),(413,1),(414,1)}
       274:{1,4,6}:{(228,1),(229,1),(237,1),(316,1),(317,1)}
       275:{2,5,6}:{(229,1),(230,1),(312,1),(317,1),(381,1)}
       276:{4,5,6}:{(230,1),(238,1),(313,1),(414,1),(425,1)}
       277:{2,3,5,6}:{(231,1),(235,1),(240,1),(243,1),(301,1),(309,1),(318,1),(319,1),(322,1),(323,1),(363,1),(373,1),(378,1),(381,1),(382,1),(406,1),(411,1),(415,1),(424,1)}
       278:{2,5,7}:{(231,1),(232,1),(241,1),(310,1),(320,1),(364,1)}
       279:{1,3,6,7}:{(232,1),(233,1),(237,1),(245,1),(303,1),(311,1),(320,1),(375,1)}
       280:{4,6,7}:{(234,1),(238,1),(313,1),(413,1),(425,1)}
       281:{2,4}:{(235,1),(246,1),(304,1),(314,1)}
       282:{2,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(305,1),(315,1),(321,1),(322,1),(381,1)}
       283:{2,6}:{(236,1),(237,1)}
       284:{2,4,6}:{(240,1),(242,1),(249,1),(307,1),(323,1),(324,1),(382,1)}
       285:{2,3,7}:{(240,1),(241,1),(250,1),(308,1),(324,1)}
       286:{1,4,6}:{(243,1),(246,1),(318,1),(325,1),(326,1)}
       287:{1,3,5,7}:{(243,1),(244,1),(250,1),(319,1),(326,1),(327,1),(384,1),(405,1),(423,1)}
       288:{1,2,6,7}:{(244,1),(245,1),(248,1),(320,1),(327,1),(382,1)}
       289:{1,4,7}:{(246,1),(247,1),(321,1),(328,1)}
       290:{1,3,6}:{(247,1),(248,1),(322,1),(328,1)}
       291:{1,3,5}:{(249,1),(323,1),(325,1),(373,1)}
       292:{1,3,4,7}:{(249,1),(250,1),(324,1),(326,1),(329,1),(374,1)}
       293:{1,2,4}:{(253,1),(330,1),(331,1),(387,1)}
       294:{1,3,6}:{(251,1),(252,1),(254,1),(332,1),(333,1)}
       295:{2,3,7}:{(251,1),(255,1),(333,1),(346,1)}
       296:{2,5}:{(252,1),(253,1),(332,1)}
       297:{2,3}:{(253,1),(257,1),(331,1)}
       298:{1,2,4,6}:{(254,1),(256,1),(258,1),(268,1),(332,1),(335,1),(336,1),(338,1),(388,1)}
       299:{1,4,7}:{(254,1),(255,1),(259,1),(333,1)}
       300:{1,3,5}:{(256,1),(257,1),(272,1),(334,1),(335,1),(337,1)}
       301:{1,3,5,6}:{(258,1),(261,1),(265,1),(277,1),(335,1),(338,1),(339,1),(342,1),(343,1),(390,1),(394,1),(395,1),(419,1),(420,1)}
       302:{1,2,5,7}:{(258,1),(259,1),(266,1),(278,1),(336,1),(339,1),(340,1),(418,1)}
       303:{1,6,7}:{(259,1),(260,1),(263,1),(426,1)}
       304:{1,4}:{(261,1),(281,1)}
       305:{1,3,5,7}:{(261,1),(262,1),(264,1),(282,1),(341,1),(342,1),(394,1)}
       306:{1,2,6}:{(262,1),(263,1),(283,1),(342,1),(395,1)}
       307:{1,4,6}:{(265,1),(267,1),(284,1),(343,1),(344,1),(395,1)}
       308:{1,3,7}:{(265,1),(266,1),(285,1),(344,1)}
       309:{3,6}:{(268,1),(272,1),(346,1)}
       310:{2,4,7}:{(268,1),(269,1),(278,1),(346,1)}
       311:{1,4,6,7}:{(269,1),(270,1),(274,1),(279,1),(347,1),(348,1)}
       312:{2,5,7}:{(270,1),(271,1),(275,1),(348,1)}
       313:{4,5,7}:{(271,1),(276,1),(280,1)}
       314:{3,4}:{(272,1),(281,1)}
       315:{3,5,7}:{(272,1),(273,1),(346,1),(349,1),(350,1),(399,1)}
       316:{2,4,6}:{(273,1),(274,1),(283,1),(350,1),(351,1),(400,1)}
       317:{1,5,6}:{(274,1),(275,1),(348,1),(351,1),(359,1),(394,1)}
       318:{2,4,6}:{(277,1),(281,1),(286,1),(338,1),(345,1),(352,1),(353,1),(400,1)}
       319:{2,3,5,7}:{(277,1),(278,1),(285,1),(287,1),(339,1),(346,1),(353,1),(354,1),(356,1),(389,1),(396,1),(398,1),(402,1),(418,1)}
       320:{2,6,7}:{(278,1),(279,1),(283,1)}
       321:{2,4,7}:{(281,1),(282,1),(289,1),(341,1),(349,1),(355,1)}
       322:{2,3,6}:{(282,1),(283,1),(290,1),(342,1),(350,1),(355,1)}
       323:{2,5}:{(284,1),(291,1),(343,1)}
       324:{2,4,7}:{(284,1),(285,1),(292,1),(344,1),(356,1)}
       325:{1,4,5}:{(286,1),(291,1),(352,1),(359,1),(416,1)}
       326:{1,4,7}:{(286,1),(287,1),(353,1)}
       327:{1,3,6,7}:{(287,1),(288,1),(290,1),(354,1),(358,1),(360,1),(426,1)}
       328:{1,4,6}:{(289,1),(290,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(291,1),(292,1),(356,1),(357,1),(360,1),(396,1)}
       330:{1,2,5}:{(293,1),(296,1),(361,1),(362,1)}
       331:{1,3}:{(293,1),(297,1)}
       332:{2,6}:{(294,1),(296,1),(364,1)}
       333:{1,3,7}:{(294,1),(295,1),(299,1),(364,1)}
       334:{2,3,5}:{(296,1),(297,1),(300,1),(362,1),(363,1),(365,1),(406,1)}
       335:{1,3,6}:{(298,1),(300,1),(309,1),(363,1),(367,1)}
       336:{1,2,4,7}:{(298,1),(299,1),(302,1),(310,1),(364,1),(367,1),(369,1),(407,1)}
       337:{1,3,4}:{(300,1),(304,1),(314,1),(365,1)}
       338:{1,4,6}:{(301,1),(304,1),(318,1),(368,1),(369,1)}
       339:{1,3,5,7}:{(301,1),(302,1),(308,1),(319,1),(367,1),(369,1),(370,1),(372,1),(410,1)}
       340:{1,2,6,7}:{(302,1),(303,1),(306,1),(320,1),(370,1),(424,1)}
       341:{1,4,7}:{(304,1),(305,1),(321,1),(371,1)}
       342:{1,3,6}:{(305,1),(306,1),(322,1),(371,1)}
       343:{1,5}:{(307,1),(323,1)}
       344:{1,4,7}:{(307,1),(308,1),(324,1),(372,1)}
       345:{3,4,6}:{(309,1),(314,1),(318,1),(373,1),(374,1),(411,1)}
       346:{3,7}:{(309,1),(310,1)}
       347:{2,4,6,7}:{(310,1),(311,1),(316,1),(320,1),(375,1),(376,1),(413,1)}
       348:{1,5,7}:{(311,1),(312,1),(317,1),(376,1)}
       349:{3,4,7}:{(314,1),(315,1),(321,1),(377,1),(413,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{2,5,6}:{(316,1),(317,1),(376,1),(378,1),(381,1)}
       352:{2,4,5}:{(318,1),(323,1),(325,1),(368,1),(373,1),(381,1),(406,1),(414,1)}
       353:{2,4,7}:{(318,1),(319,1),(326,1),(369,1),(374,1),(413,1)}
       354:{2,3,6,7}:{(319,1),(320,1),(322,1),(327,1),(370,1),(375,1),(380,1),(382,1),(411,1),(424,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(377,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,5,7}:{(325,1),(326,1),(329,1),(379,1),(383,1),(384,1),(423,1)}
       358:{1,4,6,7}:{(326,1),(327,1),(328,1),(380,1),(383,1),(384,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(383,1),(411,1)}
       361:{1,2,6}:{(330,1),(332,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(385,1),(387,1),(416,1)}
       363:{2,3,6}:{(332,1),(334,1),(335,1),(385,1),(388,1),(389,1)}
       364:{2,7}:{(332,1),(333,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,4,6}:{(335,1),(337,1),(338,1),(345,1),(388,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(335,1),(336,1),(346,1),(389,1)}
       368:{1,4,5}:{(338,1),(343,1),(352,1),(390,1),(394,1)}
       369:{1,4,7}:{(338,1),(339,1),(353,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(342,1),(354,1),(393,1),(395,1),(419,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{3,5}:{(345,1),(352,1)}
       374:{3,4,7}:{(345,1),(346,1),(353,1),(396,1)}
       375:{3,6,7}:{(346,1),(347,1),(350,1),(398,1)}
       376:{2,5,7}:{(347,1),(348,1),(351,1),(398,1)}
       377:{3,4,6}:{(349,1),(350,1),(355,1),(399,1),(400,1)}
       378:{3,5,6}:{(350,1),(351,1),(398,1),(399,1),(400,1)}
       379:{2,4,5,7}:{(352,1),(353,1),(356,1),(357,1),(392,1),(396,1),(401,1),(402,1),(418,1),(422,1)}
       380:{2,4,6,7}:{(353,1),(354,1),(355,1),(358,1),(393,1),(397,1),(401,1),(402,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(399,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,4,6}:{(357,1),(360,1),(401,1),(403,1),(426,1)}
       384:{1,5,7}:{(358,1),(359,1),(402,1),(403,1)}
       385:{1,3,6}:{(361,1),(362,1),(363,1),(404,1),(405,1)}
       386:{1,2,7}:{(361,1),(364,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,4,6}:{(363,1),(365,1),(366,1),(404,1),(406,1),(407,1),(424,1)}
       389:{2,3,7}:{(363,1),(364,1),(367,1),(405,1),(407,1)}
       390:{1,3,5}:{(366,1),(368,1),(373,1),(406,1)}
       391:{1,3,4,7}:{(366,1),(367,1),(369,1),(374,1),(407,1),(408,1)}
       392:{1,4,5,7}:{(368,1),(369,1),(372,1),(379,1),(408,1),(409,1),(410,1)}
       393:{1,4,6,7}:{(369,1),(370,1),(371,1),(380,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(379,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(377,1),(380,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(378,1),(413,1)}
       399:{3,5}:{(377,1),(381,1),(414,1)}
       400:{4,6}:{(378,1),(413,1),(414,1)}
       401:{2,4,6}:{(379,1),(382,1),(383,1),(409,1),(411,1),(415,1),(424,1),(425,1)}
       402:{2,5,7}:{(380,1),(381,1),(384,1),(410,1),(412,1),(415,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,4,6}:{(385,1),(387,1),(388,1),(416,1),(417,1),(426,1)}
       405:{1,3,7}:{(385,1),(386,1),(389,1),(417,1)}
       406:{2,5}:{(388,1),(390,1),(416,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(392,1),(396,1),(418,1),(419,1)}
       409:{1,4,6}:{(392,1),(395,1),(401,1),(419,1),(420,1)}
       410:{1,5,7}:{(393,1),(394,1),(402,1),(420,1)}
       411:{3,6}:{(396,1),(401,1)}
       412:{3,5,7}:{(397,1),(399,1),(402,1),(421,1),(422,1)}
       413:{4,7}:{(398,1),(400,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(421,1)}
       416:{1,5}:{(404,1),(406,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(423,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(409,1),(411,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{3,5,6}:{(411,1),(412,1),(415,1),(425,1)}
       422:{4,5,7}:{(412,1),(413,1),(414,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

 994 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

 995 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 996 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 997 :   0:{1,2,4,7}:{(1,1),(2,1),(3,1),(16,1),(18,1),(126,1)}
         1:{1,2,5,7}:{(0,1),(6,1),(7,1),(8,1),(32,1),(57,1),(104,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(9,1),(31,1),(33,1),(35,1)}
         3:{1,3,7}:{(0,1),(5,1),(9,1),(144,1),(177,1)}
         4:{1,2,7}:{(12,1),(13,1),(158,1),(169,1)}
         5:{2,3,7}:{(3,1),(13,1),(15,1),(16,1),(143,1),(159,1),(169,1)}
         6:{1,2,6}:{(1,1),(17,1),(51,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(14,1),(17,1),(18,1),(19,1),(52,1),(81,1),(127,1),(129,1)}
         8:{1,2,5}:{(2,1),(19,1),(50,1),(52,1),(89,1)}
         9:{1,3,6}:{(2,1),(3,1),(15,1),(19,1),(168,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(18,1),(20,1),(21,1),(46,1),(103,1),(143,1),(160,1)}
        11:{1,2,5,7}:{(4,1),(22,1),(23,1),(24,1),(25,1),(59,1),(109,1)}
        12:{1,2,6}:{(4,1),(25,1),(26,1),(155,1)}
        13:{1,3,7}:{(4,1),(5,1),(26,1),(27,1),(170,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(24,1),(28,1),(29,1),(30,1),(32,1),(58,1),(69,1),(70,1),(107,1),(109,1)}
        15:{2,3,6}:{(5,1),(9,1),(26,1),(30,1),(31,1),(124,1),(155,1)}
        16:{2,4,7}:{(5,1),(10,1),(27,1),(31,1),(32,1),(171,1)}
        17:{1,3,6}:{(6,1),(7,1),(28,1),(33,1),(147,1)}
        18:{1,4,7}:{(7,1),(29,1),(33,1),(35,1),(145,1)}
        19:{1,3,5}:{(8,1),(9,1),(30,1),(35,1),(115,1),(154,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(35,1),(36,1),(37,1),(68,1),(72,1),(78,1),(124,1)}
        21:{1,3,5,7}:{(10,1),(32,1),(34,1),(36,1),(37,1),(69,1),(172,1),(185,1)}
        22:{1,2,4,7}:{(11,1),(38,1),(39,1),(41,1),(42,1),(83,1)}
        23:{1,2,6}:{(11,1),(40,1),(132,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(14,1),(39,1),(40,1),(41,1),(43,1),(45,1),(84,1),(87,1)}
        25:{1,2,5}:{(12,1),(42,1),(43,1),(138,1)}
        26:{1,3,6}:{(12,1),(13,1),(15,1),(43,1),(44,1)}
        27:{1,4,7}:{(13,1),(16,1),(44,1),(45,1),(178,1)}
        28:{2,3,6}:{(14,1),(17,1),(40,1),(47,1),(51,1),(96,1),(132,1)}
        29:{2,4,7}:{(14,1),(18,1),(41,1),(46,1),(47,1),(49,1),(130,1)}
        30:{2,3,5}:{(15,1),(19,1),(43,1),(49,1),(50,1),(90,1),(99,1),(138,1)}
        31:{2,4,6}:{(15,1),(16,1),(20,1),(44,1),(49,1),(50,1),(51,1)}
        32:{2,5,7}:{(16,1),(21,1),(45,1),(50,1),(51,1),(179,1),(187,1)}
        33:{1,4,6}:{(17,1),(18,1),(47,1),(52,1)}
        34:{1,4,5,7}:{(18,1),(21,1),(48,1),(52,1),(53,1),(54,1),(102,1),(103,1),(129,1),(161,1),(181,1)}
        35:{1,4}:{(19,1),(49,1)}
        36:{1,3,5}:{(20,1),(50,1),(52,1),(54,1),(95,1),(99,1)}
        37:{1,3,6}:{(21,1),(51,1),(53,1),(96,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(59,1),(60,1),(62,1),(108,1),(110,1)}
        39:{1,3,7}:{(22,1),(58,1),(60,1),(64,1),(188,1)}
        40:{1,3,6}:{(23,1),(24,1),(28,1),(62,1),(67,1)}
        41:{1,4,7}:{(24,1),(29,1),(62,1),(65,1),(110,1)}
        42:{1,2,4}:{(25,1),(64,1),(65,1),(116,1)}
        43:{1,3,5}:{(25,1),(26,1),(30,1),(64,1),(65,1),(66,1)}
        44:{1,4,6}:{(26,1),(27,1),(31,1),(65,1),(66,1),(67,1)}
        45:{1,5,7}:{(27,1),(32,1),(66,1),(67,1),(183,1),(188,1)}
        46:{3,4,7}:{(29,1),(68,1),(69,1),(72,1),(148,1),(157,1)}
        47:{2,4,6}:{(28,1),(29,1),(33,1),(62,1),(68,1),(70,1)}
        48:{2,4,5,7}:{(29,1),(32,1),(34,1),(63,1),(69,1),(70,1),(71,1),(73,1),(109,1),(120,1),(123,1),(125,1),(149,1),(157,1),(176,1)}
        49:{2,4}:{(30,1),(35,1),(65,1),(72,1)}
        50:{2,5}:{(31,1),(36,1),(66,1)}
        51:{2,6}:{(32,1),(37,1),(67,1)}
        52:{1,5}:{(33,1),(70,1)}
        53:{1,4,6}:{(34,1),(37,1),(71,1),(76,1),(147,1)}
        54:{1,4,5}:{(35,1),(36,1),(73,1),(78,1),(120,1),(154,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(74,1),(76,1),(78,1),(79,1),(121,1),(124,1)}
        56:{1,3,6,7}:{(37,1),(75,1),(77,1),(79,1),(122,1),(185,1)}
        57:{1,2,7}:{(80,1),(81,1),(89,1),(187,1)}
        58:{2,3,7}:{(39,1),(81,1),(82,1),(83,1),(90,1),(182,1),(187,1)}
        59:{1,2,5}:{(38,1),(84,1),(87,1),(131,1),(158,1)}
        60:{1,3,6}:{(38,1),(39,1),(82,1),(84,1),(186,1)}
        61:{1,3,4,7}:{(39,1),(41,1),(46,1),(83,1),(85,1),(86,1),(91,1),(167,1),(182,1)}
        62:{1,4,6}:{(40,1),(41,1),(47,1),(87,1)}
        63:{1,4,5,7}:{(41,1),(45,1),(48,1),(86,1),(87,1),(88,1),(92,1),(133,1),(136,1),(140,1),(167,1)}
        64:{1,3}:{(42,1),(90,1)}
        65:{1,4}:{(43,1),(49,1)}
        66:{1,5}:{(44,1),(50,1)}
        67:{1,6}:{(45,1),(51,1)}
        68:{3,4,6}:{(46,1),(47,1),(95,1),(96,1),(141,1)}
        69:{3,5,7}:{(46,1),(48,1),(95,1),(96,1),(99,1),(143,1),(164,1),(182,1)}
        70:{2,5}:{(47,1),(52,1),(87,1),(95,1)}
        71:{2,4,6}:{(48,1),(51,1),(53,1),(88,1),(96,1),(97,1),(132,1),(141,1)}
        72:{3,4}:{(49,1),(99,1)}
        73:{2,4,5}:{(49,1),(50,1),(54,1),(92,1),(99,1),(100,1),(138,1)}
        74:{2,5,6}:{(50,1),(51,1),(55,1),(93,1),(100,1),(101,1)}
        75:{2,6,7}:{(51,1),(56,1),(94,1),(101,1),(187,1)}
        76:{1,5,6}:{(52,1),(53,1),(97,1),(102,1)}
        77:{1,4,6,7}:{(53,1),(56,1),(98,1),(102,1),(103,1),(163,1),(181,1)}
        78:{1,4,6}:{(54,1),(55,1),(100,1),(103,1),(141,1),(168,1)}
        79:{1,3,5,7}:{(55,1),(56,1),(101,1),(102,1),(103,1),(142,1),(143,1)}
        80:{1,2,6}:{(57,1),(104,1),(105,1),(184,1)}
        81:{1,3,7}:{(57,1),(58,1),(105,1),(106,1),(115,1)}
        82:{2,3,6}:{(58,1),(60,1),(105,1),(107,1),(108,1),(175,1),(184,1)}
        83:{2,4,7}:{(58,1),(61,1),(106,1),(108,1),(109,1),(116,1)}
        84:{1,3,5}:{(59,1),(60,1),(107,1),(110,1),(170,1),(183,1)}
        85:{1,3,4,6}:{(60,1),(61,1),(62,1),(68,1),(108,1),(110,1),(111,1),(112,1),(148,1),(152,1),(175,1)}
        86:{1,3,5,7}:{(61,1),(63,1),(69,1),(109,1),(111,1),(112,1),(117,1),(156,1)}
        87:{1,5}:{(62,1),(70,1)}
        88:{1,4,6}:{(63,1),(67,1),(71,1),(112,1),(113,1)}
        89:{1,2}:{(115,1)}
        90:{2,3}:{(64,1),(115,1),(116,1)}
        91:{1,3,4}:{(64,1),(65,1),(72,1),(116,1),(117,1)}
        92:{1,4,5}:{(65,1),(66,1),(73,1),(117,1),(118,1)}
        93:{1,5,6}:{(66,1),(67,1),(74,1),(118,1),(119,1)}
        94:{1,6,7}:{(67,1),(75,1),(119,1),(188,1)}
        95:{3,5}:{(68,1),(70,1),(120,1)}
        96:{3,6}:{(69,1),(71,1)}
        97:{2,5,6}:{(70,1),(71,1),(76,1),(113,1),(121,1),(123,1)}
        98:{2,4,6,7}:{(71,1),(75,1),(77,1),(114,1),(122,1),(123,1),(125,1),(151,1),(157,1),(176,1)}
        99:{3,5}:{(72,1),(73,1),(124,1)}
       100:{2,4,6}:{(73,1),(74,1),(78,1),(118,1),(124,1),(125,1),(155,1)}
       101:{2,5,7}:{(74,1),(75,1),(79,1),(119,1),(125,1)}
       102:{1,5,7}:{(76,1),(77,1),(123,1)}
       103:{1,4,7}:{(78,1),(79,1),(125,1),(157,1),(177,1)}
       104:{1,2,5}:{(80,1),(126,1),(127,1),(179,1)}
       105:{1,3,6}:{(80,1),(81,1),(82,1),(127,1),(128,1)}
       106:{1,4,7}:{(81,1),(83,1),(128,1),(129,1),(137,1)}
       107:{2,3,5}:{(82,1),(84,1),(127,1),(130,1),(131,1),(159,1),(164,1),(179,1)}
       108:{2,4,6}:{(82,1),(83,1),(85,1),(128,1),(130,1),(131,1),(132,1)}
       109:{2,5,7}:{(83,1),(86,1),(129,1),(131,1),(132,1),(138,1),(169,1)}
       110:{1,4}:{(84,1),(130,1)}
       111:{1,3,5}:{(85,1),(87,1),(95,1),(131,1),(133,1),(164,1)}
       112:{1,3,6}:{(86,1),(88,1),(96,1),(132,1)}
       113:{1,5,6}:{(87,1),(88,1),(97,1),(136,1)}
       114:{1,4,6,7}:{(88,1),(94,1),(98,1),(135,1),(136,1),(140,1),(167,1)}
       115:{1,3}:{(89,1),(90,1),(137,1)}
       116:{2,4}:{(90,1),(91,1),(137,1),(138,1)}
       117:{1,3,5}:{(91,1),(92,1),(99,1),(138,1),(139,1)}
       118:{1,4,6}:{(92,1),(93,1),(100,1),(139,1),(140,1)}
       119:{1,5,7}:{(93,1),(94,1),(101,1),(140,1)}
       120:{4,5}:{(95,1),(141,1)}
       121:{3,5,6}:{(95,1),(96,1),(97,1),(141,1),(142,1)}
       122:{3,6,7}:{(96,1),(98,1),(142,1),(143,1),(182,1)}
       123:{2,5,7}:{(97,1),(98,1),(102,1),(136,1),(142,1)}
       124:{3,6}:{(99,1),(100,1),(143,1)}
       125:{2,4,7}:{(100,1),(101,1),(103,1),(140,1),(143,1),(169,1)}
       126:{1,2,4}:{(104,1),(144,1),(145,1),(171,1)}
       127:{1,3,5}:{(104,1),(105,1),(107,1),(144,1),(145,1),(146,1)}
       128:{1,4,6}:{(105,1),(106,1),(108,1),(145,1),(146,1),(147,1)}
       129:{1,5,7}:{(106,1),(109,1),(146,1),(147,1),(154,1),(177,1)}
       130:{2,4}:{(107,1),(110,1),(145,1),(148,1)}
       131:{2,5}:{(108,1),(111,1),(146,1)}
       132:{2,6}:{(109,1),(112,1),(147,1)}
       133:{1,4,5}:{(110,1),(111,1),(120,1),(149,1),(152,1),(183,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(113,1),(121,1),(150,1),(152,1),(153,1),(175,1)}
       135:{1,3,6,7}:{(112,1),(114,1),(122,1),(151,1),(153,1),(156,1)}
       136:{1,5,7}:{(113,1),(114,1),(123,1)}
       137:{1,4}:{(115,1),(116,1),(154,1)}
       138:{2,5}:{(116,1),(117,1),(154,1),(155,1)}
       139:{1,3,6}:{(117,1),(118,1),(124,1),(155,1),(156,1)}
       140:{1,4,7}:{(118,1),(119,1),(125,1),(156,1)}
       141:{4,6}:{(120,1),(121,1),(157,1)}
       142:{3,5,7}:{(121,1),(122,1),(123,1),(157,1)}
       143:{3,7}:{(124,1),(125,1)}
       144:{1,3}:{(126,1),(159,1)}
       145:{1,4}:{(127,1),(130,1)}
       146:{1,5}:{(128,1),(131,1)}
       147:{1,6}:{(129,1),(132,1)}
       148:{3,4}:{(130,1),(164,1)}
       149:{2,4,5}:{(130,1),(131,1),(133,1),(161,1),(164,1),(165,1),(179,1)}
       150:{2,5,6}:{(131,1),(132,1),(134,1),(162,1),(165,1),(166,1)}
       151:{2,6,7}:{(132,1),(135,1),(163,1),(166,1),(169,1)}
       152:{1,4,6}:{(133,1),(134,1),(141,1),(165,1),(167,1),(186,1)}
       153:{1,3,5,7}:{(134,1),(135,1),(136,1),(142,1),(166,1),(167,1),(182,1)}
       154:{1,5}:{(137,1),(138,1),(168,1)}
       155:{2,6}:{(138,1),(139,1),(168,1),(169,1)}
       156:{1,3,7}:{(139,1),(140,1),(143,1),(169,1)}
       157:{4,7}:{(141,1),(142,1)}
       158:{1,2}:{(170,1)}
       159:{2,3}:{(144,1),(170,1),(171,1)}
       160:{1,3,4}:{(144,1),(145,1),(148,1),(171,1),(172,1)}
       161:{1,4,5}:{(145,1),(146,1),(149,1),(172,1),(173,1)}
       162:{1,5,6}:{(146,1),(147,1),(150,1),(173,1),(174,1)}
       163:{1,6,7}:{(147,1),(151,1),(174,1),(177,1)}
       164:{3,5}:{(148,1),(149,1),(175,1)}
       165:{2,4,6}:{(149,1),(150,1),(152,1),(173,1),(175,1),(176,1),(184,1)}
       166:{2,5,7}:{(150,1),(151,1),(153,1),(174,1),(176,1)}
       167:{1,4,7}:{(152,1),(153,1),(157,1),(176,1),(188,1)}
       168:{1,6}:{(154,1),(155,1),(177,1)}
       169:{2,7}:{(155,1),(156,1),(177,1)}
       170:{1,3}:{(158,1),(159,1),(178,1)}
       171:{2,4}:{(159,1),(160,1),(178,1),(179,1)}
       172:{1,3,5}:{(160,1),(161,1),(164,1),(179,1),(180,1)}
       173:{1,4,6}:{(161,1),(162,1),(165,1),(180,1),(181,1)}
       174:{1,5,7}:{(162,1),(163,1),(166,1),(181,1)}
       175:{3,6}:{(164,1),(165,1),(182,1)}
       176:{2,4,7}:{(165,1),(166,1),(167,1),(181,1),(182,1),(187,1)}
       177:{1,7}:{(168,1),(169,1)}
       178:{1,4}:{(170,1),(171,1),(183,1)}
       179:{2,5}:{(171,1),(172,1),(183,1),(184,1)}
       180:{1,3,6}:{(172,1),(173,1),(175,1),(184,1),(185,1)}
       181:{1,4,7}:{(173,1),(174,1),(176,1),(185,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

 998 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

 999 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

1000 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1001 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1002 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(16,1),(40,1),(49,1),(81,1),(82,1),(86,1),(89,1),(93,1),(119,1),(172,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(27,1),(33,1),(56,1),(60,1),(63,1),(72,1),(98,1),(104,1),(109,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(70,1),(102,1),(111,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(112,1),(138,1),(139,1),(140,1),(147,1),(166,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(40,1),(42,1),(93,1),(119,1),(126,1),(132,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(43,1),(92,1),(118,1),(133,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(16,1),(50,1),(86,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(40,1),(80,1)}
         8:{1,3,6,7}:{(3,1),(11,1),(18,1),(53,1),(121,1),(154,1),(172,1)}
         9:{1,2,5,7}:{(3,1),(12,1),(18,1),(19,1),(133,1),(152,1),(159,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(112,1),(115,1),(116,1),(117,1),(147,1),(166,1)}
        11:{2,3,6,7}:{(4,1),(8,1),(21,1),(23,1),(63,1),(74,1),(100,1),(144,1),(147,1)}
        12:{2,5,7}:{(4,1),(5,1),(24,1),(114,1),(137,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(24,1),(27,1),(63,1),(109,1),(113,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(25,1),(27,1),(33,1),(56,1),(71,1),(97,1)}
        15:{2,3,5,6,7}:{(6,1),(26,1),(29,1),(70,1),(106,1),(111,1)}
        16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(60,1),(70,1),(102,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(23,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(24,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(25,1),(33,1),(34,1),(35,1),(69,1),(71,1),(73,1),(110,1),(114,1),(139,1),(162,1),(164,1),(166,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(36,1),(78,1),(95,1),(136,1),(172,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(36,1),(37,1),(133,1),(134,1),(159,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(18,1),(36,1),(39,1),(40,1),(43,1),(159,1),(172,1)}
        24:{2,5,6}:{(12,1),(13,1),(42,1),(132,1)}
        25:{2,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(80,1)}
        26:{1,3,5,6,7}:{(13,1),(15,1),(41,1),(44,1),(84,1),(88,1),(129,1),(133,1)}
        27:{1,4,6}:{(13,1),(14,1),(16,1),(42,1)}
        28:{1,3,4,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(52,1),(77,1),(87,1),(88,1),(92,1),(118,1),(123,1),(127,1),(155,1),(158,1),(170,1),(172,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(44,1),(48,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(45,1),(48,1),(50,1),(80,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(39,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(40,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(42,1),(51,1),(53,1),(91,1),(93,1),(132,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(43,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(172,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(23,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(24,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(25,1),(56,1),(57,1),(58,1),(69,1),(97,1),(99,1),(110,1),(116,1),(137,1),(150,1),(164,1),(166,1),(168,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(32,1),(55,1),(59,1),(63,1),(74,1),(100,1),(102,1),(114,1),(137,1),(149,1),(165,1),(167,1)}
        40:{2,4,7}:{(23,1),(33,1),(56,1),(59,1),(60,1)}
        41:{2,5,6,7}:{(24,1),(26,1),(61,1),(111,1),(147,1)}
        42:{2,4,6}:{(24,1),(25,1),(27,1),(63,1)}
        43:{3,5,7}:{(25,1),(60,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(29,1),(61,1),(65,1)}
        45:{1,4,5,6}:{(27,1),(30,1),(62,1),(65,1),(67,1),(71,1),(97,1),(113,1),(148,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(31,1),(63,1),(67,1),(68,1),(107,1),(109,1),(148,1),(167,1)}
        47:{2,4,5,7}:{(28,1),(64,1),(68,1),(69,1),(73,1),(99,1),(110,1),(111,1),(114,1),(137,1),(141,1),(145,1),(164,1),(166,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(65,1),(70,1),(111,1),(166,1)}
        49:{3,4,6,7}:{(29,1),(31,1),(70,1)}
        50:{3,5,6}:{(30,1),(31,1),(70,1),(102,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(59,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(60,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(63,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(110,1),(114,1),(144,1),(165,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(39,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(40,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(42,1),(76,1),(78,1),(91,1),(119,1),(132,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(43,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(172,1)}
        59:{2,4,6}:{(39,1),(40,1),(51,1),(76,1),(80,1),(81,1),(171,1)}
        60:{3,4,7}:{(40,1),(43,1),(81,1),(172,1)}
        61:{2,4,6,7}:{(41,1),(42,1),(44,1),(83,1),(84,1)}
        62:{2,4,5,6}:{(42,1),(45,1),(80,1),(83,1),(85,1),(90,1),(130,1)}
        63:{3,6}:{(42,1),(43,1)}
        64:{2,3,5,7}:{(43,1),(47,1),(82,1),(86,1),(87,1),(124,1),(170,1),(172,1)}
        65:{1,4,5,7}:{(44,1),(45,1),(48,1),(83,1),(88,1),(133,1),(158,1)}
        66:{1,3,4,6,7}:{(44,1),(46,1),(49,1),(84,1),(88,1),(89,1),(127,1),(129,1),(158,1),(172,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(50,1),(85,1),(88,1),(90,1),(92,1),(118,1)}
        68:{2,4,6}:{(46,1),(47,1),(86,1),(90,1),(91,1),(132,1)}
        69:{1,4,5,7}:{(47,1),(87,1),(91,1),(94,1),(120,1),(133,1),(134,1),(152,1),(155,1),(158,1)}
        70:{3,5,7}:{(48,1),(49,1),(50,1),(172,1)}
        71:{1,4,5}:{(51,1),(80,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(81,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(171,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(132,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(59,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(60,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(63,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(110,1),(137,1),(144,1),(165,1)}
        80:{2,4,5}:{(59,1),(71,1),(97,1),(102,1),(114,1),(137,1)}
        81:{3,4,6}:{(59,1),(60,1),(63,1),(102,1),(167,1),(174,1)}
        82:{2,3,4,7}:{(60,1),(64,1),(73,1),(99,1),(103,1),(104,1),(144,1),(145,1),(174,1)}
        83:{2,4,5,7}:{(61,1),(62,1),(65,1),(105,1),(111,1),(145,1)}
        84:{3,6,7}:{(61,1),(63,1),(105,1)}
        85:{3,5,6}:{(62,1),(63,1),(102,1),(105,1),(107,1)}
        86:{2,3,6}:{(63,1),(64,1),(68,1),(109,1),(167,1)}
        87:{1,3,5,7}:{(64,1),(69,1),(104,1),(109,1),(110,1),(142,1)}
        88:{1,3,5,7}:{(65,1),(66,1),(67,1),(70,1),(105,1),(111,1)}
        89:{2,4,6,7}:{(66,1),(68,1),(106,1),(111,1),(112,1),(145,1),(147,1),(166,1)}
        90:{2,5,6}:{(67,1),(68,1),(111,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(68,1),(69,1),(109,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(102,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(110,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(80,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(81,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(171,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(132,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5}:{(80,1),(81,1)}
       103:{2,3,4,6}:{(81,1),(82,1),(86,1),(93,1),(119,1),(124,1),(125,1),(130,1),(157,1),(171,1)}
       104:{1,3,4,7}:{(82,1),(87,1),(94,1),(120,1),(125,1),(126,1),(136,1),(154,1),(158,1),(172,1)}
       105:{3,5,7}:{(83,1),(84,1),(85,1),(127,1)}
       106:{2,3,6,7}:{(84,1),(86,1),(89,1),(128,1),(129,1),(172,1)}
       107:{3,4,6}:{(85,1),(123,1),(127,1),(130,1)}
       108:{2,3,5,6}:{(85,1),(86,1),(90,1),(124,1),(128,1),(130,1),(131,1)}
       109:{1,3,6}:{(86,1),(87,1),(91,1),(132,1)}
       110:{2,5,7}:{(87,1),(126,1),(132,1),(156,1)}
       111:{2,5,7}:{(88,1),(89,1),(90,1),(133,1)}
       112:{1,4,6,7}:{(89,1),(91,1),(129,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(133,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(126,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(132,1)}
       118:{1,3,5}:{(97,1),(98,1),(102,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(110,1),(139,1),(140,1),(162,1)}
       123:{3,4,5}:{(102,1),(107,1),(141,1),(174,1)}
       124:{2,3,5}:{(102,1),(103,1),(114,1),(137,1),(141,1),(142,1)}
       125:{1,3,4,6}:{(103,1),(104,1),(109,1),(115,1),(138,1),(142,1),(143,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       126:{2,4,7}:{(104,1),(110,1),(143,1),(144,1)}
       127:{3,4,7}:{(105,1),(107,1),(145,1)}
       128:{2,3,5,7}:{(105,1),(106,1),(108,1),(111,1),(145,1),(146,1)}
       129:{1,3,6,7}:{(106,1),(109,1),(112,1),(146,1),(147,1)}
       130:{2,4,6}:{(107,1),(108,1),(141,1),(145,1),(148,1)}
       131:{1,3,5,6}:{(108,1),(109,1),(113,1),(142,1),(146,1),(148,1),(149,1),(167,1)}
       132:{2,6}:{(109,1),(110,1)}
       133:{1,5,7}:{(111,1),(112,1),(113,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(143,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(144,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(126,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(132,1)}
       141:{2,4,5}:{(123,1),(124,1),(130,1),(155,1),(171,1)}
       142:{1,3,5}:{(124,1),(125,1),(134,1),(152,1),(155,1),(156,1),(170,1)}
       143:{2,4,6}:{(125,1),(126,1),(132,1),(156,1),(157,1),(171,1)}
       144:{2,3,7}:{(126,1),(136,1),(154,1),(157,1),(172,1)}
       145:{2,4,7}:{(127,1),(128,1),(130,1),(158,1)}
       146:{1,3,5,7}:{(128,1),(129,1),(131,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,6,7}:{(129,1),(132,1),(159,1)}
       148:{1,4,6}:{(130,1),(131,1),(155,1),(158,1),(160,1)}
       149:{2,5,6}:{(131,1),(132,1),(156,1),(159,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(156,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(157,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(143,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(144,1),(163,1)}
       155:{1,4,5}:{(141,1),(142,1),(148,1),(164,1),(168,1),(173,1)}
       156:{2,5}:{(142,1),(143,1)}
       157:{2,3,6}:{(143,1),(144,1),(151,1),(163,1),(165,1),(167,1)}
       158:{1,4,7}:{(145,1),(146,1),(148,1),(166,1)}
       159:{2,5,7}:{(146,1),(147,1),(149,1),(166,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(165,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(156,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(157,1),(169,1)}
       164:{2,4,5}:{(155,1),(156,1),(160,1),(170,1),(171,1)}
       165:{2,3,5}:{(156,1),(157,1),(161,1),(169,1),(170,1),(171,1)}
       166:{2,4,7}:{(158,1),(159,1),(160,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(172,1)}
       168:{1,4}:{(161,1),(171,1)}
       169:{1,3,5}:{(162,1),(163,1),(165,1),(173,1)}
       170:{3,5}:{(164,1),(167,1),(174,1)}
       171:{2,4}:{(165,1),(168,1),(173,1),(174,1)}
       172:{3,7}:{(166,1),(167,1)}
       173:{1,4}:{(169,1),(171,1)}
       174:{3,4}:{(170,1),(171,1)}

1003 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(72,1),(73,1),(218,1),(219,1),(228,1),(271,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(37,1),(51,1),(99,1),(107,1),(174,1),(247,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(53,1),(89,1),(99,1),(106,1),(180,1),(257,1),(264,1),(302,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(108,1),(112,1),(183,1),(184,1),(186,1),(193,1),(239,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(53,1),(302,1),(303,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(28,1),(64,1),(72,1),(73,1),(144,1)}
         7:{3,4,6}:{(1,1),(19,1),(20,1),(281,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(27,1),(66,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(22,1),(25,1),(26,1),(291,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(31,1),(60,1),(76,1),(83,1),(86,1),(125,1),(128,1),(136,1),(146,1),(148,1),(223,1),(224,1),(231,1),(274,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(144,1),(221,1),(230,1),(273,1)}
        13:{1,2,5,7}:{(5,1),(22,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(83,1),(86,1),(274,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(89,1),(264,1),(265,1)}
        17:{3,4,6,7}:{(7,1),(36,1),(37,1),(95,1),(107,1),(169,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(38,1),(39,1),(50,1),(53,1),(89,1),(97,1),(106,1),(118,1),(162,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(39,1),(40,1)}
        20:{3,5,6}:{(7,1),(37,1),(40,1),(41,1),(174,1)}
        21:{2,3,6,7}:{(9,1),(36,1),(42,1),(43,1),(169,1),(245,1)}
        22:{2,5,7}:{(8,1),(10,1),(45,1),(49,1)}
        23:{1,3,6}:{(8,1),(9,1),(39,1),(45,1),(100,1),(322,1),(347,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(40,1),(43,1),(46,1),(47,1),(103,1),(177,1),(184,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(180,1)}
        26:{2,4,6}:{(10,1),(11,1),(45,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(118,1),(162,1),(174,1),(266,1),(304,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(44,1),(53,1),(54,1),(56,1),(118,1)}
        30:{1,2,6}:{(13,1),(45,1),(54,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(118,1),(304,1)}
        33:{1,2,5,7}:{(16,1),(22,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(125,1),(128,1),(231,1),(232,1),(233,1)}
        36:{2,4,6,7}:{(17,1),(19,1),(21,1),(63,1),(64,1),(72,1)}
        37:{3,5,7}:{(17,1),(20,1),(64,1),(65,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(66,1),(67,1),(73,1),(79,1),(133,1),(142,1),(144,1),(209,1),(212,1)}
        39:{1,4,6}:{(18,1),(19,1),(23,1),(67,1),(68,1)}
        40:{2,5,6}:{(19,1),(20,1),(64,1),(68,1),(144,1)}
        41:{4,5,6}:{(20,1),(65,1),(212,1),(281,1)}
        42:{1,3,6,7}:{(21,1),(23,1),(63,1),(70,1),(71,1),(132,1),(280,1)}
        43:{2,3,5,7}:{(21,1),(24,1),(64,1),(71,1),(72,1),(135,1),(211,1),(219,1)}
        44:{2,3,5,7}:{(22,1),(25,1),(29,1),(58,1),(66,1),(73,1),(74,1),(78,1),(144,1)}
        45:{2,6}:{(22,1),(23,1)}
        46:{1,3,5,6}:{(23,1),(24,1),(27,1),(68,1),(71,1),(75,1),(76,1),(137,1),(146,1),(215,1),(223,1)}
        47:{2,4,6}:{(24,1),(28,1),(72,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(146,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(76,1),(79,1),(86,1),(128,1),(212,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(221,1),(391,1)}
        52:{1,2,6,7}:{(30,1),(70,1),(81,1),(82,1),(280,1),(295,1),(334,1),(363,1)}
        53:{1,4,7}:{(29,1),(73,1),(83,1),(86,1)}
        54:{1,3,6}:{(29,1),(30,1),(74,1),(83,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(75,1),(82,1),(84,1),(85,1),(215,1),(230,1),(275,1),(287,1),(295,1),(329,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(154,1),(157,1),(225,1),(230,1),(276,1),(329,1),(338,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(44,1),(89,1),(90,1),(92,1),(162,1)}
        59:{1,2,6}:{(33,1),(45,1),(90,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(162,1),(266,1)}
        62:{3,5,6,7}:{(37,1),(94,1),(95,1),(169,1),(246,1),(378,1)}
        63:{1,4,6,7}:{(36,1),(39,1),(42,1),(96,1),(97,1),(106,1)}
        64:{2,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        65:{4,5,7}:{(37,1),(41,1),(95,1)}
        66:{3,5,7}:{(38,1),(99,1),(100,1),(113,1),(174,1),(180,1)}
        67:{2,4,6}:{(38,1),(39,1),(45,1),(100,1),(101,1),(175,1)}
        68:{1,5,6}:{(39,1),(40,1),(97,1),(101,1),(118,1),(162,1)}
        69:{2,4,5,6}:{(40,1),(41,1),(47,1),(98,1),(102,1),(103,1),(177,1),(182,1),(254,1),(316,1),(377,1),(389,1)}
        70:{2,6,7}:{(42,1),(45,1),(105,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(46,1),(97,1),(105,1),(106,1),(171,1),(180,1),(250,1),(257,1)}
        72:{2,4,7}:{(43,1),(47,1),(106,1),(107,1)}
        73:{2,4,7}:{(44,1),(53,1),(89,1),(99,1),(108,1),(112,1)}
        74:{2,3,6}:{(44,1),(45,1),(54,1),(90,1),(100,1),(108,1)}
        75:{2,5,6}:{(45,1),(46,1),(49,1),(105,1),(110,1),(260,1)}
        76:{1,4,6}:{(46,1),(47,1),(50,1),(106,1),(110,1),(175,1)}
        77:{3,4,6}:{(47,1),(51,1),(103,1),(107,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(110,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(111,1),(113,1),(114,1),(121,1),(165,1),(187,1),(192,1),(238,1),(251,1),(315,1),(357,1)}
        81:{1,3,6,7}:{(52,1),(54,1),(104,1),(115,1),(116,1),(262,1),(347,1),(375,1)}
        82:{1,2,5,7}:{(52,1),(55,1),(105,1),(116,1),(117,1),(250,1),(263,1),(303,1),(314,1)}
        83:{1,4,6}:{(53,1),(54,1),(108,1),(118,1)}
        84:{1,3,5,6}:{(54,1),(55,1),(56,1),(109,1),(116,1),(118,1),(119,1),(120,1),(188,1),(192,1),(240,1),(262,1),(304,1),(347,1),(350,1),(375,1),(388,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(110,1),(117,1),(119,1),(120,1),(185,1),(193,1),(260,1),(316,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(357,1)}
        88:{1,2,6,7}:{(59,1),(70,1),(123,1),(124,1),(280,1),(326,1),(334,1),(344,1)}
        89:{1,4,7}:{(58,1),(73,1),(125,1),(128,1)}
        90:{1,3,6}:{(58,1),(59,1),(74,1),(125,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(75,1),(124,1),(126,1),(127,1),(215,1),(232,1),(273,1),(287,1),(298,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(200,1),(203,1),(225,1),(233,1),(273,1),(298,1),(338,1),(346,1)}
        94:{2,5,6,7}:{(62,1),(64,1),(130,1),(131,1),(216,1),(367,1)}
        95:{4,6,7}:{(62,1),(65,1),(281,1),(385,1)}
        96:{2,4,6,7}:{(63,1),(67,1),(70,1),(132,1),(133,1),(142,1),(209,1)}
        97:{1,5,7}:{(63,1),(64,1),(68,1),(133,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(131,1),(134,1),(135,1),(211,1),(337,1),(367,1),(385,1)}
        99:{3,4,7}:{(66,1),(73,1),(136,1),(148,1),(209,1)}
       100:{3,6}:{(66,1),(67,1)}
       101:{2,5,6}:{(67,1),(68,1),(133,1),(137,1),(144,1)}
       102:{1,4,5,6}:{(68,1),(69,1),(76,1),(134,1),(138,1),(139,1),(154,1),(200,1),(215,1),(226,1),(269,1),(286,1),(366,1)}
       103:{3,5,6}:{(69,1),(77,1),(135,1),(221,1),(288,1),(339,1)}
       104:{2,3,6,7}:{(70,1),(74,1),(81,1),(123,1),(132,1),(140,1),(141,1),(288,1),(295,1),(326,1),(334,1),(368,1),(372,1)}
       105:{2,5,7}:{(70,1),(71,1),(75,1),(142,1),(291,1)}
       106:{1,4,7}:{(71,1),(72,1),(76,1),(142,1),(209,1)}
       107:{3,4,7}:{(72,1),(77,1),(135,1),(385,1)}
       108:{2,4,6}:{(73,1),(74,1),(83,1),(125,1),(136,1),(144,1)}
       109:{2,3,5,6}:{(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(141,1),(144,1),(145,1),(146,1),(156,1),(202,1),(216,1),(221,1),(230,1),(273,1),(287,1),(288,1),(295,1),(326,1),(339,1),(343,1),(372,1),(384,1),(387,1)}
       110:{2,4,6}:{(75,1),(76,1),(79,1),(142,1),(146,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(80,1),(139,1),(143,1),(146,1),(147,1),(213,1),(223,1),(286,1),(339,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(146,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(230,1),(273,1)}
       115:{1,4,6,7}:{(81,1),(83,1),(140,1),(151,1),(152,1),(226,1),(383,1)}
       116:{1,3,5,7}:{(81,1),(82,1),(84,1),(141,1),(151,1),(152,1),(153,1),(272,1),(327,1)}
       117:{1,2,4,7}:{(82,1),(85,1),(142,1),(152,1),(153,1),(220,1),(228,1),(291,1),(337,1)}
       118:{1,5}:{(83,1),(144,1)}
       119:{1,4,6}:{(84,1),(86,1),(145,1),(152,1),(154,1),(365,1)}
       120:{1,3,6}:{(85,1),(87,1),(146,1),(153,1),(156,1),(339,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(371,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(230,1),(294,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(104,1),(159,1),(160,1),(300,1),(322,1),(361,1)}
       124:{1,2,5,7}:{(88,1),(91,1),(105,1),(160,1),(161,1),(250,1),(265,1),(301,1),(314,1)}
       125:{1,4,6}:{(89,1),(90,1),(108,1),(162,1)}
       126:{1,3,5,6}:{(90,1),(91,1),(92,1),(109,1),(160,1),(162,1),(163,1),(164,1),(194,1),(234,1),(238,1),(266,1),(300,1),(322,1),(325,1),(361,1),(382,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(110,1),(161,1),(163,1),(164,1),(185,1),(239,1),(260,1),(316,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(357,1)}
       130:{1,5,6,7}:{(94,1),(97,1),(167,1),(168,1),(188,1),(234,1),(352,1)}
       131:{2,4,6,7}:{(94,1),(95,1),(98,1),(168,1),(169,1),(245,1),(254,1)}
       132:{3,6,7}:{(96,1),(100,1),(171,1),(180,1)}
       133:{2,5,7}:{(96,1),(97,1),(101,1),(171,1)}
       134:{1,4,5,7}:{(97,1),(98,1),(102,1),(106,1),(168,1),(172,1),(173,1),(250,1),(313,1),(352,1)}
       135:{3,5,7}:{(98,1),(103,1),(107,1),(169,1),(356,1)}
       136:{3,4,6}:{(99,1),(100,1),(108,1),(174,1),(175,1)}
       137:{3,5,6}:{(100,1),(101,1),(171,1),(174,1),(175,1)}
       138:{2,4,5,6}:{(101,1),(102,1),(110,1),(172,1),(175,1),(176,1),(177,1),(182,1),(252,1),(254,1),(307,1),(351,1)}
       139:{1,3,5,6}:{(102,1),(103,1),(111,1),(173,1),(176,1),(177,1),(192,1),(238,1),(262,1),(300,1)}
       140:{2,4,6,7}:{(104,1),(108,1),(115,1),(159,1),(170,1),(178,1),(179,1),(254,1),(381,1)}
       141:{2,3,5,7}:{(104,1),(105,1),(109,1),(116,1),(160,1),(171,1),(178,1),(179,1),(180,1),(191,1),(237,1),(255,1),(263,1),(301,1),(314,1),(356,1),(378,1)}
       142:{2,4,7}:{(105,1),(106,1),(110,1),(180,1)}
       143:{1,3,4,7}:{(106,1),(107,1),(111,1),(173,1),(180,1),(181,1),(248,1),(257,1),(313,1),(356,1)}
       144:{2,5}:{(108,1),(118,1),(162,1),(174,1)}
       145:{2,4,6}:{(109,1),(112,1),(119,1),(163,1),(175,1),(179,1),(182,1),(183,1),(360,1),(389,1)}
       146:{3,6}:{(110,1),(113,1),(180,1)}
       147:{2,4,6}:{(111,1),(114,1),(177,1),(181,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(184,1),(186,1),(187,1),(357,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(266,1),(304,1)}
       151:{1,5,7}:{(115,1),(118,1),(178,1),(188,1),(388,1)}
       152:{1,4,7}:{(116,1),(119,1),(179,1)}
       153:{1,3,7}:{(117,1),(120,1),(180,1),(191,1),(356,1)}
       154:{1,4,5}:{(118,1),(119,1),(182,1),(192,1),(304,1),(388,1)}
       155:{1,3,4,6}:{(119,1),(120,1),(121,1),(183,1),(190,1),(192,1),(193,1),(262,1)}
       156:{2,3,6}:{(120,1),(122,1),(191,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(266,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(125,1),(140,1),(197,1),(198,1),(269,1),(374,1)}
       160:{1,3,5,7}:{(123,1),(124,1),(126,1),(141,1),(197,1),(198,1),(199,1),(229,1),(296,1)}
       161:{1,2,4,7}:{(124,1),(127,1),(142,1),(198,1),(199,1),(220,1),(271,1),(291,1),(337,1)}
       162:{1,5}:{(125,1),(144,1)}
       163:{1,4,6}:{(126,1),(128,1),(145,1),(198,1),(200,1),(346,1)}
       164:{1,3,6}:{(127,1),(129,1),(146,1),(199,1),(202,1),(339,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(371,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(273,1),(294,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(205,1),(206,1),(216,1),(332,1)}
       168:{1,4,6,7}:{(130,1),(131,1),(134,1),(206,1),(207,1),(226,1),(269,1),(280,1)}
       169:{3,6,7}:{(131,1),(135,1),(288,1)}
       170:{3,4,6,7}:{(132,1),(136,1),(140,1),(208,1),(209,1),(218,1),(281,1),(288,1),(368,1),(385,1),(386,1)}
       171:{3,5,7}:{(132,1),(133,1),(137,1),(209,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(138,1),(142,1),(206,1),(209,1),(210,1),(211,1),(277,1),(283,1),(332,1)}
       173:{1,3,5,7}:{(134,1),(135,1),(139,1),(143,1),(207,1),(210,1),(211,1)}
       174:{3,5}:{(136,1),(144,1),(212,1)}
       175:{4,6}:{(137,1),(209,1),(212,1)}
       176:{3,5,6}:{(138,1),(146,1),(210,1),(213,1),(221,1),(288,1)}
       177:{2,5,6}:{(139,1),(147,1),(211,1),(215,1),(230,1),(273,1),(295,1),(326,1)}
       178:{2,5,7}:{(140,1),(144,1),(151,1),(197,1),(208,1),(216,1),(387,1)}
       179:{2,4,7}:{(141,1),(145,1),(152,1),(198,1),(209,1),(218,1),(385,1)}
       180:{3,7}:{(142,1),(146,1)}
       181:{2,4,7}:{(143,1),(147,1),(211,1),(219,1),(220,1),(291,1)}
       182:{2,4,5}:{(144,1),(145,1),(154,1),(200,1),(212,1),(221,1),(230,1),(273,1),(387,1),(391,1)}
       183:{3,4,6}:{(145,1),(146,1),(148,1),(218,1),(221,1),(288,1),(339,1),(371,1)}
       184:{2,3,6}:{(146,1),(147,1),(149,1),(219,1),(223,1),(339,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(220,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(371,1)}
       187:{1,3,5}:{(149,1),(150,1),(223,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,4,7}:{(152,1),(153,1),(155,1),(218,1),(227,1),(228,1)}
       191:{2,3,7}:{(153,1),(156,1),(228,1),(229,1),(291,1)}
       192:{1,3,5}:{(154,1),(155,1),(221,1),(230,1)}
       193:{2,4,6}:{(155,1),(156,1),(157,1),(228,1),(230,1),(231,1),(295,1)}
       194:{1,3,6}:{(156,1),(158,1),(229,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(162,1),(178,1),(234,1),(382,1)}
       198:{1,4,7}:{(160,1),(163,1),(179,1)}
       199:{1,3,7}:{(161,1),(164,1),(180,1),(237,1),(356,1)}
       200:{1,4,5}:{(162,1),(163,1),(182,1),(238,1),(266,1),(382,1)}
       201:{1,3,4,6}:{(163,1),(164,1),(165,1),(183,1),(236,1),(238,1),(239,1),(300,1)}
       202:{2,3,6}:{(164,1),(166,1),(237,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(304,1),(306,1)}
       205:{3,5,6,7}:{(167,1),(171,1),(243,1),(244,1),(246,1),(308,1)}
       206:{2,4,6,7}:{(167,1),(168,1),(172,1),(243,1),(244,1),(245,1),(254,1)}
       207:{1,3,6,7}:{(168,1),(169,1),(173,1),(244,1),(245,1),(262,1),(300,1)}
       208:{3,5,7}:{(170,1),(174,1),(178,1),(246,1),(247,1),(390,1)}
       209:{4,7}:{(171,1),(175,1)}
       210:{3,5,7}:{(172,1),(176,1),(180,1),(244,1),(248,1)}
       211:{2,5,7}:{(173,1),(177,1),(181,1),(245,1),(250,1)}
       212:{4,5}:{(174,1),(175,1)}
       213:{3,4,6}:{(175,1),(176,1),(248,1),(251,1),(252,1)}
       214:{2,3,5,6}:{(176,1),(177,1),(184,1),(249,1),(252,1),(253,1),(258,1),(317,1),(351,1)}
       215:{1,5,6}:{(177,1),(185,1),(250,1),(266,1),(304,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(246,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(182,1),(189,1),(235,1),(247,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,4,7}:{(179,1),(180,1),(183,1),(255,1),(356,1)}
       219:{2,3,7}:{(180,1),(181,1),(184,1),(257,1),(356,1)}
       220:{1,4,7}:{(181,1),(185,1),(250,1),(257,1)}
       221:{3,5}:{(182,1),(183,1)}
       222:{2,3,4,6}:{(183,1),(184,1),(186,1),(193,1),(239,1),(252,1),(256,1),(258,1),(259,1),(317,1),(321,1),(360,1),(381,1)}
       223:{1,3,6}:{(184,1),(185,1),(187,1),(257,1),(260,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(192,1),(255,1),(262,1),(263,1)}
       228:{2,4,7}:{(190,1),(191,1),(193,1),(263,1),(264,1)}
       229:{1,3,7}:{(191,1),(194,1),(264,1),(265,1)}
       230:{2,5}:{(192,1),(193,1),(266,1)}
       231:{1,4,6}:{(193,1),(194,1),(195,1),(264,1),(266,1),(322,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(265,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,4,7}:{(198,1),(199,1),(201,1),(218,1),(270,1),(271,1)}
       237:{2,3,7}:{(199,1),(202,1),(271,1),(272,1),(291,1)}
       238:{1,3,5}:{(200,1),(201,1),(221,1),(273,1)}
       239:{2,4,6}:{(201,1),(202,1),(203,1),(271,1),(273,1),(274,1),(326,1)}
       240:{1,3,6}:{(202,1),(204,1),(272,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{4,6,7}:{(205,1),(209,1),(277,1),(281,1)}
       244:{3,6,7}:{(206,1),(210,1),(288,1)}
       245:{2,6,7}:{(207,1),(211,1),(280,1),(295,1),(326,1)}
       246:{3,5,6}:{(208,1),(216,1),(281,1),(288,1)}
       247:{4,5,7}:{(208,1),(209,1),(212,1),(281,1),(385,1),(391,1)}
       248:{3,4,7}:{(209,1),(210,1),(213,1),(283,1)}
       249:{2,3,5,7}:{(210,1),(211,1),(214,1),(219,1),(279,1),(283,1),(284,1),(332,1)}
       250:{1,5,7}:{(211,1),(215,1),(220,1),(280,1)}
       251:{3,4,5}:{(212,1),(213,1),(221,1),(285,1),(371,1)}
       252:{2,4,6}:{(213,1),(214,1),(283,1),(285,1),(286,1)}
       253:{1,3,5,6}:{(214,1),(215,1),(223,1),(284,1),(286,1),(287,1),(292,1),(339,1),(340,1),(366,1),(384,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(281,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(221,1),(288,1)}
       256:{2,3,4,7}:{(218,1),(219,1),(222,1),(228,1),(271,1),(283,1),(289,1),(290,1),(342,1),(373,1)}
       257:{1,3,7}:{(219,1),(220,1),(223,1),(291,1)}
       258:{2,3,5}:{(221,1),(222,1),(230,1),(273,1),(285,1),(292,1),(387,1)}
       259:{1,3,4,6}:{(222,1),(223,1),(224,1),(231,1),(274,1),(286,1),(290,1),(292,1),(293,1),(299,1),(330,1),(339,1),(340,1),(346,1),(365,1),(371,1),(374,1),(383,1),(386,1)}
       260:{2,6}:{(223,1),(225,1),(291,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(230,1),(295,1),(296,1)}
       264:{1,4,7}:{(228,1),(229,1),(231,1),(296,1)}
       265:{1,2,7}:{(229,1),(232,1),(291,1)}
       266:{1,5}:{(230,1),(231,1)}
       267:{1,2,4,6}:{(231,1),(232,1),(233,1),(293,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(238,1),(255,1),(300,1),(301,1)}
       271:{2,4,7}:{(236,1),(237,1),(239,1),(301,1),(302,1)}
       272:{1,3,7}:{(237,1),(240,1),(302,1),(303,1)}
       273:{2,5}:{(238,1),(239,1),(304,1)}
       274:{1,4,6}:{(239,1),(240,1),(241,1),(302,1),(304,1),(347,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(303,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,5,7}:{(243,1),(307,1),(308,1)}
       278:{3,4,6,7}:{(243,1),(244,1),(248,1),(308,1),(309,1),(311,1)}
       279:{2,3,6,7}:{(244,1),(245,1),(249,1),(309,1),(310,1),(317,1)}
       280:{1,6,7}:{(245,1),(250,1),(322,1),(347,1)}
       281:{4,6}:{(246,1),(247,1)}
       282:{3,4,5,7}:{(247,1),(248,1),(251,1),(255,1),(308,1),(311,1),(312,1),(380,1),(390,1)}
       283:{2,4,7}:{(248,1),(249,1),(252,1),(313,1)}
       284:{1,3,5,7}:{(249,1),(250,1),(253,1),(257,1),(310,1),(313,1),(314,1),(352,1),(356,1),(378,1)}
       285:{2,4,5}:{(251,1),(252,1),(258,1),(315,1),(360,1)}
       286:{1,4,6}:{(252,1),(253,1),(313,1),(315,1),(316,1),(389,1)}
       287:{2,5,6}:{(253,1),(260,1),(314,1),(316,1),(320,1),(358,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(258,1),(263,1),(301,1),(312,1),(317,1),(318,1)}
       290:{1,3,4,7}:{(256,1),(257,1),(259,1),(264,1),(302,1),(313,1),(318,1),(319,1),(324,1),(349,1),(356,1),(362,1),(376,1),(380,1)}
       291:{2,7}:{(257,1),(260,1)}
       292:{1,3,5}:{(258,1),(259,1),(266,1),(304,1),(315,1),(320,1),(357,1),(382,1),(388,1),(390,1)}
       293:{2,4,6}:{(259,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(266,1),(322,1)}
       297:{1,2,4,7}:{(264,1),(265,1),(267,1),(319,1),(323,1),(324,1),(362,1)}
       298:{1,2,5}:{(266,1),(267,1),(320,1),(325,1),(382,1)}
       299:{1,3,6}:{(267,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(273,1),(326,1),(327,1)}
       302:{1,4,7}:{(271,1),(272,1),(274,1),(327,1)}
       303:{1,2,7}:{(272,1),(275,1),(291,1)}
       304:{1,5}:{(273,1),(274,1)}
       305:{1,2,4,6}:{(274,1),(275,1),(276,1),(293,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(281,1),(331,1),(391,1)}
       308:{3,5,7}:{(277,1),(278,1),(331,1),(332,1)}
       309:{2,4,6,7}:{(278,1),(279,1),(283,1),(332,1),(333,1),(335,1)}
       310:{1,3,6,7}:{(279,1),(280,1),(284,1),(333,1),(334,1),(340,1),(368,1)}
       311:{3,4,6}:{(281,1),(282,1),(288,1),(331,1),(335,1)}
       312:{2,4,5,7}:{(282,1),(283,1),(285,1),(289,1),(332,1),(335,1),(336,1),(373,1),(387,1)}
       313:{1,4,7}:{(283,1),(284,1),(286,1),(337,1),(385,1)}
       314:{2,5,7}:{(284,1),(287,1),(291,1),(334,1),(337,1)}
       315:{1,4,5}:{(285,1),(286,1),(292,1),(338,1),(346,1),(365,1),(391,1)}
       316:{2,4,6}:{(286,1),(287,1),(337,1),(338,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(335,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(292,1),(296,1),(327,1),(336,1),(340,1),(341,1),(370,1)}
       319:{2,4,7}:{(290,1),(291,1),(293,1),(341,1),(342,1)}
       320:{2,5}:{(292,1),(293,1)}
       321:{2,3,6}:{(293,1),(294,1),(299,1),(330,1),(339,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,7}:{(297,1),(299,1),(342,1)}
       325:{1,3,5}:{(298,1),(299,1),(343,1),(346,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(304,1),(347,1)}
       328:{1,2,4,7}:{(302,1),(303,1),(305,1),(319,1),(348,1),(349,1),(376,1)}
       329:{1,2,5}:{(304,1),(305,1),(320,1),(350,1),(388,1)}
       330:{1,3,6}:{(305,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,5,7}:{(308,1),(309,1),(351,1),(352,1)}
       333:{1,4,6,7}:{(309,1),(310,1),(313,1),(352,1),(353,1),(354,1)}
       334:{2,6,7}:{(310,1),(314,1),(358,1)}
       335:{2,4,6}:{(311,1),(312,1),(317,1),(351,1),(354,1)}
       336:{1,4,5,7}:{(312,1),(313,1),(315,1),(318,1),(352,1),(354,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(356,1)}
       338:{2,4,5}:{(315,1),(316,1),(320,1),(357,1),(360,1)}
       339:{3,6}:{(316,1),(356,1),(357,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(354,1),(358,1),(379,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,7}:{(319,1),(321,1),(324,1),(349,1),(356,1)}
       343:{2,3,5}:{(320,1),(321,1),(325,1),(350,1),(357,1),(360,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(325,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,7}:{(328,1),(330,1),(342,1)}
       350:{1,3,5}:{(329,1),(330,1),(343,1),(365,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,5,7}:{(332,1),(333,1),(366,1),(367,1)}
       353:{2,4,6,7}:{(333,1),(334,1),(337,1),(367,1),(368,1),(369,1),(385,1)}
       354:{1,4,6}:{(335,1),(336,1),(340,1),(366,1),(369,1)}
       355:{2,4,5,7}:{(336,1),(337,1),(338,1),(341,1),(367,1),(369,1),(370,1),(373,1),(385,1),(387,1),(391,1)}
       356:{3,7}:{(337,1),(339,1)}
       357:{3,5}:{(338,1),(339,1),(371,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(370,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(343,1),(346,1),(365,1),(371,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(350,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(354,1),(377,1),(382,1),(388,1)}
       367:{2,5,7}:{(352,1),(353,1),(377,1),(378,1)}
       368:{3,6,7}:{(353,1),(356,1),(378,1),(379,1)}
       369:{2,4,6}:{(354,1),(355,1),(358,1),(377,1),(379,1),(389,1)}
       370:{3,5,7}:{(355,1),(356,1),(357,1),(379,1),(380,1),(390,1)}
       371:{3,4}:{(357,1),(360,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(379,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(380,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(369,1),(384,1),(387,1)}
       378:{3,5,7}:{(367,1),(368,1),(384,1),(385,1)}
       379:{3,6}:{(369,1),(370,1)}
       380:{3,4,7}:{(370,1),(371,1),(373,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(386,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(379,1),(389,1),(390,1)}
       385:{4,7}:{(378,1),(389,1)}
       386:{3,4,6}:{(379,1),(380,1),(381,1),(389,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(385,1),(391,1)}
       390:{3,5}:{(386,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

1004 :  0:{2,3,4}:{(2,1),(3,1),(23,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(82,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(27,1),(39,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(39,1)}
        5:{4,5,6}:{(15,1),(16,1),(88,1),(96,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1),(19,1),(50,1),(74,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1)}
        9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,4}:{(3,1),(22,1),(23,1)}
       11:{1,2,5}:{(4,1),(22,1),(24,1),(25,1)}
       12:{1,3}:{(4,1),(23,1)}
       13:{1,2,4}:{(10,1),(26,1),(27,1),(55,1)}
       14:{5,6,7}:{(28,1),(97,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{3,5,6}:{(5,1),(6,1),(29,1),(30,1),(82,1),(94,1)}
       17:{3,4,7}:{(6,1),(29,1),(31,1)}
       18:{2,4,6}:{(6,1),(7,1),(8,1),(30,1),(31,1),(32,1)}
       19:{1,4,5}:{(7,1),(9,1),(32,1),(33,1),(39,1),(55,1),(65,1),(77,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{1,3,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,5}:{(9,1),(10,1),(35,1)}
       23:{2,3}:{(10,1),(12,1),(27,1)}
       24:{1,2,6}:{(11,1),(35,1),(37,1),(38,1)}
       25:{1,3,5}:{(11,1),(12,1),(36,1),(38,1),(39,1),(65,1)}
       26:{1,2,5}:{(13,1),(22,1),(40,1),(41,1)}
       27:{1,3}:{(13,1),(23,1)}
       28:{4,6,7}:{(14,1),(15,1),(42,1),(96,1)}
       29:{3,5,7}:{(15,1),(16,1),(17,1),(42,1),(43,1)}
       30:{2,5,6}:{(16,1),(18,1),(43,1),(44,1),(74,1),(90,1)}
       31:{2,4,7}:{(17,1),(18,1),(20,1),(43,1),(45,1)}
       32:{1,4,6}:{(18,1),(19,1),(21,1),(44,1),(45,1),(46,1)}
       33:{2,4,5}:{(19,1),(22,1),(46,1),(47,1),(50,1),(74,1),(88,1)}
       34:{1,3,7}:{(20,1),(21,1),(45,1),(48,1),(71,1)}
       35:{2,6}:{(21,1),(22,1),(48,1)}
       36:{2,3,5}:{(22,1),(23,1),(25,1),(41,1),(47,1),(49,1),(50,1),(74,1)}
       37:{1,2,7}:{(24,1),(48,1),(51,1)}
       38:{1,3,6}:{(24,1),(25,1),(49,1),(51,1),(52,1)}
       39:{1,4}:{(25,1),(50,1)}
       40:{1,2,6}:{(26,1),(35,1),(53,1),(54,1)}
       41:{1,3,5}:{(26,1),(27,1),(36,1),(54,1),(55,1),(77,1)}
       42:{3,6,7}:{(28,1),(29,1),(56,1),(94,1)}
       43:{2,5,7}:{(29,1),(30,1),(31,1),(56,1),(57,1)}
       44:{1,5,6}:{(30,1),(32,1),(57,1),(58,1),(65,1),(77,1),(84,1),(91,1)}
       45:{1,4,7}:{(31,1),(32,1),(34,1),(57,1),(59,1)}
       46:{2,4,6}:{(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(80,1)}
       47:{3,5}:{(33,1),(60,1),(61,1)}
       48:{2,7}:{(34,1),(35,1)}
       49:{2,3,6}:{(35,1),(36,1),(38,1),(54,1),(60,1),(62,1),(63,1)}
       50:{2,4}:{(36,1),(39,1),(55,1),(61,1)}
       51:{1,3,7}:{(37,1),(38,1),(62,1),(64,1)}
       52:{1,4,6}:{(38,1),(39,1),(63,1),(64,1),(65,1),(84,1)}
       53:{1,2,7}:{(40,1),(48,1),(66,1)}
       54:{1,3,6}:{(40,1),(41,1),(49,1),(66,1),(67,1)}
       55:{1,4}:{(41,1),(50,1)}
       56:{2,6,7}:{(42,1),(43,1),(68,1),(90,1)}
       57:{1,5,7}:{(43,1),(44,1),(45,1),(68,1),(69,1)}
       58:{2,5,6}:{(44,1),(46,1),(69,1),(70,1),(74,1),(90,1)}
       59:{2,4,7}:{(45,1),(46,1),(48,1),(69,1),(71,1),(87,1)}
       60:{3,6}:{(46,1),(47,1),(71,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,3,7}:{(48,1),(49,1),(51,1),(66,1),(71,1),(73,1)}
       63:{2,4,6}:{(49,1),(50,1),(52,1),(67,1),(72,1),(73,1),(74,1),(90,1)}
       64:{1,4,7}:{(51,1),(52,1),(73,1),(75,1)}
       65:{1,5}:{(52,1),(74,1)}
       66:{1,3,7}:{(53,1),(54,1),(62,1),(76,1)}
       67:{1,4,6}:{(54,1),(55,1),(63,1),(76,1),(77,1),(91,1)}
       68:{1,6,7}:{(56,1),(57,1),(78,1),(84,1),(91,1)}
       69:{2,5,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       70:{3,5,6}:{(58,1),(60,1),(79,1),(80,1),(82,1),(94,1),(97,1)}
       71:{3,7}:{(59,1),(60,1)}
       72:{3,4,6}:{(60,1),(61,1),(63,1),(80,1),(81,1),(82,1),(94,1)}
       73:{2,4,7}:{(62,1),(63,1),(64,1),(76,1),(81,1),(83,1)}
       74:{2,5}:{(63,1),(65,1),(77,1),(82,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,4,7}:{(66,1),(67,1),(73,1),(85,1)}
       77:{1,5}:{(67,1),(74,1)}
       78:{2,6,7}:{(68,1),(69,1),(86,1),(90,1)}
       79:{3,5,7}:{(69,1),(70,1),(71,1),(86,1),(87,1),(95,1)}
       80:{4,6}:{(70,1),(87,1),(88,1)}
       81:{3,4,7}:{(71,1),(72,1),(73,1),(87,1),(89,1)}
       82:{3,5}:{(72,1),(74,1),(88,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{3,6,7}:{(78,1),(79,1),(92,1),(94,1)}
       87:{4,7}:{(79,1),(80,1)}
       88:{4,5}:{(80,1),(82,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,6,7}:{(86,1),(87,1),(95,1),(96,1)}
       93:{4,5,7}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(96,1)}
       95:{5,7}:{(92,1),(97,1)}
       96:{4,6}:{(93,1),(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1005 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1006 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1007 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1008 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1009 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(20,1),(50,1),(118,1),(131,1),(132,1),(134,1),(135,1),(197,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(28,1),(35,1),(75,1),(80,1),(82,1),(83,1),(86,1),(143,1),(159,1),(161,1),(170,1),(172,1),(221,1),(231,1),(269,1),(280,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(8,1),(9,1),(25,1),(35,1),(40,1),(82,1),(93,1),(96,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(36,1),(98,1),(99,1),(157,1),(174,1),(229,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(119,1),(197,1),(198,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(49,1),(56,1),(62,1),(112,1),(136,1),(181,1),(195,1),(248,1),(296,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(197,1),(206,1),(208,1),(258,1)}
         7:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(60,1),(66,1),(134,1),(135,1),(139,1),(208,1)}
         8:{1,4,5,7}:{(2,1),(17,1),(21,1),(48,1),(67,1),(121,1),(131,1),(134,1)}
         9:{2,4,6}:{(2,1),(3,1),(18,1),(21,1),(22,1),(62,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(50,1),(70,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(86,1),(166,1),(231,1),(238,1),(273,1)}
        12:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(39,1),(78,1),(86,1),(94,1),(151,1),(172,1),(214,1),(269,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(29,1),(30,1),(35,1),(82,1),(90,1),(143,1),(146,1),(169,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(174,1),(229,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(28,1),(31,1),(42,1),(82,1),(97,1),(154,1),(156,1),(161,1),(217,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(96,1),(146,1),(166,1),(235,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(8,1),(32,1),(35,1),(36,1),(92,1),(280,1)}
        18:{2,3,6}:{(6,1),(9,1),(36,1),(174,1),(229,1),(279,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(34,1),(39,1),(40,1),(94,1),(96,1),(172,1)}
        20:{1,3,5,7}:{(7,1),(10,1),(40,1),(41,1),(103,1)}
        21:{1,4,6}:{(8,1),(9,1),(36,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(40,1),(42,1),(82,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(98,1),(157,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(111,1),(118,1),(186,1),(187,1),(197,1),(246,1),(247,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(13,1),(48,1),(49,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(14,1),(49,1),(50,1),(56,1),(128,1)}
        27:{1,3,6,7}:{(12,1),(14,1),(51,1),(52,1),(208,1),(288,1),(296,1)}
        28:{1,2,5,7}:{(12,1),(15,1),(52,1),(67,1),(117,1),(133,1),(190,1),(245,1),(299,1)}
        29:{1,3,5,7}:{(13,1),(48,1),(53,1),(54,1),(119,1),(121,1),(198,1)}
        30:{2,3,6}:{(13,1),(14,1),(49,1),(54,1),(62,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(50,1),(52,1),(55,1),(56,1),(198,1),(261,1),(264,1),(296,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(48,1),(57,1),(58,1),(119,1),(134,1),(208,1),(263,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(49,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(210,1),(250,1),(265,1)}
        34:{2,3,6,7}:{(18,1),(19,1),(60,1),(61,1),(139,1),(208,1),(212,1)}
        35:{2,5,7}:{(17,1),(57,1),(62,1),(130,1)}
        36:{1,3,6}:{(17,1),(18,1),(21,1),(62,1),(296,1)}
        37:{2,3,5,6}:{(18,1),(22,1),(59,1),(61,1),(63,1),(64,1),(70,1),(141,1),(210,1)}
        38:{1,3,5,6,7}:{(20,1),(65,1),(66,1),(115,1),(139,1)}
        39:{1,4,6,7}:{(19,1),(21,1),(60,1),(67,1),(134,1)}
        40:{2,5,7}:{(19,1),(20,1),(22,1),(67,1)}
        41:{1,4,5,7}:{(20,1),(23,1),(66,1),(68,1),(134,1),(213,1)}
        42:{1,5,6}:{(21,1),(22,1),(67,1),(121,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(64,1),(68,1),(69,1),(70,1),(122,1),(136,1),(141,1),(195,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(166,1),(216,1),(235,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(75,1),(76,1),(82,1),(143,1),(149,1),(152,1),(216,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(76,1),(77,1),(144,1),(157,1),(218,1),(219,1),(229,1),(271,1)}
        47:{1,3,4,6,7}:{(26,1),(27,1),(78,1),(79,1),(86,1),(157,1),(166,1),(229,1)}
        48:{1,4,7}:{(25,1),(29,1),(81,1),(231,1)}
        49:{2,4,6}:{(25,1),(26,1),(30,1),(81,1),(82,1)}
        50:{1,3,5}:{(26,1),(82,1),(83,1),(163,1)}
        51:{2,3,6,7}:{(27,1),(30,1),(78,1),(84,1),(85,1),(94,1),(214,1),(229,1),(279,1)}
        52:{1,3,5,7}:{(27,1),(28,1),(31,1),(85,1),(86,1),(280,1),(283,1)}
        53:{1,2,5,7}:{(29,1),(35,1),(80,1),(87,1),(143,1),(161,1),(280,1)}
        54:{1,3,6}:{(29,1),(30,1),(81,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(82,1),(85,1),(88,1),(89,1),(97,1),(156,1),(163,1),(169,1),(174,1),(217,1),(220,1),(229,1),(233,1),(236,1),(271,1),(279,1)}
        56:{1,4,6}:{(31,1),(83,1),(86,1),(89,1),(231,1)}
        57:{2,4,7}:{(32,1),(35,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(36,1),(81,1),(91,1),(92,1),(98,1),(160,1),(174,1),(231,1),(237,1),(238,1),(243,1),(285,1)}
        59:{2,3,5}:{(33,1),(82,1),(92,1),(93,1),(163,1),(233,1)}
        60:{1,3,6,7}:{(34,1),(36,1),(39,1),(94,1),(95,1),(244,1)}
        61:{2,3,5,7}:{(34,1),(37,1),(40,1),(95,1),(96,1),(103,1),(177,1),(241,1)}
        62:{2,6}:{(35,1),(36,1)}
        63:{1,3,5,6}:{(36,1),(37,1),(42,1),(92,1),(95,1),(97,1),(98,1),(174,1),(178,1),(243,1)}
        64:{2,4,6}:{(37,1),(93,1),(96,1),(98,1),(99,1)}
        65:{2,5,6,7}:{(38,1),(40,1),(100,1),(101,1),(156,1)}
        66:{1,4,6,7}:{(38,1),(41,1),(101,1),(157,1),(244,1)}
        67:{1,5,7}:{(39,1),(40,1),(42,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(96,1),(101,1),(102,1),(103,1),(172,1),(177,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(98,1),(102,1),(104,1),(162,1),(228,1)}
        70:{3,5,6}:{(43,1),(99,1),(103,1),(163,1),(174,1),(229,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(197,1),(251,1),(258,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(48,1),(105,1),(107,1),(108,1),(119,1),(246,1),(263,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(49,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(290,1),(292,1)}
        74:{1,3,4,6,7}:{(46,1),(110,1),(111,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        75:{1,4,5,7}:{(45,1),(48,1),(105,1),(112,1),(121,1),(186,1),(190,1),(246,1)}
        76:{2,4,6}:{(45,1),(46,1),(106,1),(112,1),(113,1),(181,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(111,1),(113,1),(114,1),(193,1)}
        78:{2,4,6,7}:{(47,1),(49,1),(51,1),(116,1),(117,1),(125,1),(195,1)}
        79:{1,3,5,7}:{(47,1),(50,1),(115,1),(117,1),(118,1),(197,1)}
        80:{1,2,4,7}:{(48,1),(53,1),(57,1),(107,1),(119,1),(120,1),(263,1),(299,1)}
        81:{1,4,6}:{(48,1),(49,1),(54,1),(121,1)}
        82:{2,5}:{(49,1),(50,1),(121,1)}
        83:{1,4,5}:{(50,1),(56,1),(122,1),(261,1)}
        84:{1,3,6,7}:{(51,1),(54,1),(116,1),(123,1),(124,1),(257,1)}
        85:{2,3,5,7}:{(51,1),(52,1),(55,1),(117,1),(124,1),(125,1),(133,1),(197,1),(208,1),(245,1),(258,1),(262,1),(288,1)}
        86:{1,4,7}:{(52,1),(56,1),(125,1)}
        87:{1,2,6}:{(53,1),(54,1),(62,1),(181,1),(296,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(121,1),(124,1),(126,1),(127,1),(194,1),(198,1),(200,1),(203,1),(257,1)}
        89:{2,4,6}:{(55,1),(56,1),(122,1),(125,1),(127,1),(128,1),(205,1),(250,1)}
        90:{2,3,7}:{(57,1),(119,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(62,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(121,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(62,1),(133,1)}
        95:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(133,1),(134,1),(208,1),(213,1),(267,1)}
        96:{2,4,7}:{(61,1),(64,1),(134,1),(135,1)}
        97:{2,5,6}:{(62,1),(63,1),(130,1),(133,1),(136,1),(268,1)}
        98:{1,4,6}:{(63,1),(64,1),(131,1),(134,1),(136,1)}
        99:{3,4,6}:{(64,1),(70,1),(132,1),(135,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(194,1)}
       101:{2,4,6,7}:{(65,1),(66,1),(68,1),(138,1),(139,1),(195,1),(212,1)}
       102:{1,4,5,7}:{(67,1),(68,1),(69,1),(134,1),(138,1),(140,1)}
       103:{3,5,7}:{(68,1),(70,1),(135,1),(139,1),(208,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(137,1),(140,1),(141,1),(200,1),(257,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(75,1),(143,1),(144,1),(148,1),(280,1)}
       106:{2,3,6}:{(71,1),(76,1),(144,1),(229,1),(271,1),(279,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(81,1),(144,1),(147,1),(148,1),(160,1),(218,1),(231,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(82,1),(148,1),(149,1),(163,1),(233,1)}
       110:{2,4,6,7}:{(74,1),(76,1),(142,1),(151,1),(152,1),(214,1),(216,1),(269,1)}
       111:{1,3,5,7}:{(74,1),(77,1),(152,1),(153,1),(226,1)}
       112:{1,4,6}:{(75,1),(76,1),(144,1),(154,1)}
       113:{2,5,6}:{(76,1),(77,1),(82,1),(152,1),(154,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(157,1),(218,1),(278,1)}
       115:{1,3,5,6}:{(79,1),(156,1),(157,1),(229,1)}
       116:{1,4,6,7}:{(78,1),(81,1),(84,1),(158,1),(165,1),(228,1)}
       117:{2,5,7}:{(78,1),(79,1),(82,1),(156,1),(158,1)}
       118:{1,4,5,7}:{(79,1),(83,1),(86,1),(157,1),(159,1),(280,1)}
       119:{1,3,7}:{(80,1),(90,1),(146,1),(160,1)}
       120:{1,2,4,6}:{(80,1),(81,1),(87,1),(91,1),(147,1),(160,1),(161,1),(231,1),(237,1),(284,1),(307,1)}
       121:{1,5}:{(81,1),(82,1)}
       122:{2,4,5}:{(82,1),(83,1),(89,1),(162,1),(163,1),(233,1)}
       123:{1,2,6,7}:{(84,1),(87,1),(94,1),(164,1),(214,1),(244,1),(279,1),(306,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(88,1),(158,1),(164,1),(165,1),(234,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(165,1),(166,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(97,1),(161,1),(164,1),(167,1),(178,1),(217,1),(233,1),(278,1),(279,1)}
       127:{1,4,6}:{(88,1),(89,1),(162,1),(165,1),(231,1)}
       128:{3,4,6}:{(89,1),(163,1),(166,1),(174,1),(229,1),(238,1),(271,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(160,1),(169,1),(174,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(98,1),(170,1),(231,1)}
       132:{3,4,5}:{(93,1),(99,1),(163,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(97,1),(172,1),(287,1)}
       134:{1,4,7}:{(95,1),(96,1),(98,1),(172,1)}
       135:{3,4,7}:{(96,1),(99,1),(103,1)}
       136:{2,4,6}:{(97,1),(98,1),(170,1),(172,1),(174,1)}
       137:{1,3,4,6}:{(98,1),(99,1),(104,1),(171,1),(173,1),(174,1),(175,1),(243,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(102,1),(176,1),(228,1)}
       139:{3,6,7}:{(101,1),(103,1),(229,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(104,1),(173,1),(176,1),(177,1)}
       141:{2,5,6}:{(104,1),(175,1),(177,1),(178,1),(233,1),(279,1)}
       142:{2,3,6,7}:{(106,1),(110,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(112,1),(181,1),(296,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(113,1),(180,1),(182,1),(183,1),(193,1),(256,1),(290,1)}
       146:{2,3,7}:{(107,1),(119,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(121,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,3,5,6,7}:{(111,1),(115,1),(188,1),(189,1),(254,1)}
       151:{1,4,6,7}:{(110,1),(112,1),(179,1),(190,1),(246,1)}
       152:{2,5,7}:{(110,1),(111,1),(113,1),(190,1)}
       153:{1,4,5,7}:{(111,1),(114,1),(189,1),(191,1),(246,1),(295,1)}
       154:{1,5,6}:{(112,1),(113,1),(121,1),(190,1)}
       155:{2,4,5,6}:{(113,1),(114,1),(122,1),(183,1),(191,1),(192,1),(193,1),(195,1),(248,1),(256,1)}
       156:{2,5,6}:{(115,1),(117,1),(194,1),(195,1)}
       157:{1,4,6}:{(115,1),(118,1),(195,1),(296,1)}
       158:{1,5,7}:{(116,1),(117,1),(121,1),(194,1)}
       159:{2,4,5,7}:{(117,1),(118,1),(122,1),(125,1),(195,1),(196,1),(197,1),(258,1)}
       160:{1,3,6}:{(119,1),(120,1),(129,1),(184,1),(198,1),(312,1)}
       161:{1,2,5}:{(120,1),(121,1),(130,1),(185,1),(198,1),(261,1)}
       162:{1,4,5}:{(121,1),(122,1),(127,1),(200,1)}
       163:{3,5}:{(122,1),(128,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(126,1),(133,1),(201,1),(213,1),(245,1),(258,1),(295,1)}
       165:{1,4,7}:{(124,1),(125,1),(127,1)}
       166:{3,4,7}:{(125,1),(128,1),(197,1),(208,1),(288,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(136,1),(199,1),(201,1),(203,1),(204,1),(211,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(200,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       169:{2,3,5}:{(129,1),(130,1),(198,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(136,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(137,1),(200,1),(206,1),(207,1),(259,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(136,1),(208,1)}
       173:{1,3,4,7}:{(134,1),(135,1),(137,1),(140,1),(208,1),(209,1),(267,1)}
       174:{3,6}:{(136,1),(206,1),(208,1)}
       175:{2,4,6}:{(137,1),(141,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(140,1),(212,1),(257,1)}
       177:{2,5,7}:{(140,1),(141,1),(209,1),(212,1),(213,1)}
       178:{1,5,6}:{(141,1),(211,1),(213,1),(261,1),(296,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(151,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(152,1),(215,1),(216,1),(226,1),(277,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(154,1),(215,1),(217,1),(218,1),(271,1),(278,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(160,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(231,1)}
       187:{3,4,5}:{(149,1),(163,1),(219,1),(238,1)}
       188:{2,5,6,7}:{(150,1),(152,1),(156,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(153,1),(157,1),(224,1),(306,1)}
       190:{1,5,7}:{(151,1),(152,1),(154,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(216,1),(224,1),(225,1),(226,1),(269,1),(277,1)}
       192:{1,4,5,6}:{(154,1),(155,1),(162,1),(218,1),(225,1),(227,1),(228,1)}
       193:{3,5,6}:{(155,1),(163,1),(219,1),(226,1),(229,1),(271,1)}
       194:{1,5,6}:{(156,1),(158,1),(228,1)}
       195:{2,4,6}:{(156,1),(157,1),(159,1),(228,1),(229,1),(279,1)}
       196:{1,4,5,7}:{(158,1),(159,1),(162,1),(165,1),(228,1),(230,1)}
       197:{3,5,7}:{(159,1),(163,1),(166,1),(229,1)}
       198:{1,3,5}:{(160,1),(161,1),(169,1),(220,1),(231,1)}
       199:{1,2,4,5}:{(161,1),(162,1),(167,1),(170,1),(221,1),(231,1),(232,1),(233,1),(240,1),(275,1),(281,1),(286,1),(305,1),(307,1)}
       200:{1,3,5}:{(162,1),(163,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(167,1),(172,1),(234,1),(235,1),(242,1),(269,1),(287,1),(302,1),(313,1)}
       202:{1,3,4,7}:{(165,1),(166,1),(168,1),(230,1),(234,1),(235,1)}
       203:{1,3,6}:{(167,1),(174,1),(232,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(233,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(231,1),(238,1)}
       206:{3,5}:{(170,1),(174,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(233,1),(239,1),(240,1),(281,1),(286,1)}
       208:{3,7}:{(172,1),(174,1)}
       209:{2,4,7}:{(173,1),(175,1),(177,1),(241,1),(242,1),(287,1)}
       210:{2,3,6}:{(174,1),(175,1),(239,1),(241,1),(243,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(279,1)}
       213:{1,5,7}:{(177,1),(178,1),(242,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(190,1),(245,1),(246,1),(288,1),(295,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(193,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(198,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(200,1),(249,1),(251,1),(252,1),(259,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(194,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(195,1),(253,1),(254,1),(294,1)}
       225:{1,4,5,7}:{(190,1),(191,1),(192,1),(246,1),(253,1),(255,1)}
       226:{3,5,7}:{(191,1),(193,1),(247,1),(254,1),(288,1)}
       227:{1,3,5,6}:{(192,1),(193,1),(200,1),(249,1),(255,1),(256,1),(257,1)}
       228:{1,4,6}:{(194,1),(195,1),(196,1),(257,1)}
       229:{3,6}:{(195,1),(197,1)}
       230:{1,3,5,7}:{(196,1),(197,1),(200,1),(202,1),(257,1),(258,1)}
       231:{1,4}:{(198,1),(205,1),(250,1)}
       232:{1,3,5}:{(199,1),(203,1),(206,1),(251,1),(259,1),(260,1),(312,1)}
       233:{2,5}:{(200,1),(204,1),(261,1)}
       234:{1,3,7}:{(201,1),(203,1),(208,1),(262,1),(288,1)}
       235:{2,4,7}:{(202,1),(204,1),(258,1),(262,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(260,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(297,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(210,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(297,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,4,7}:{(209,1),(211,1),(213,1),(267,1)}
       243:{1,3,6}:{(210,1),(211,1),(266,1),(267,1),(268,1)}
       244:{1,6,7}:{(212,1),(213,1),(296,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(226,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(227,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(231,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(233,1),(272,1),(274,1),(275,1),(281,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(228,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(229,1)}
       255:{1,3,5,7}:{(225,1),(226,1),(227,1),(270,1),(276,1),(277,1)}
       256:{2,5,6}:{(227,1),(233,1),(272,1),(277,1),(278,1),(279,1)}
       257:{1,3,6}:{(228,1),(229,1),(230,1),(279,1)}
       258:{2,5,7}:{(230,1),(233,1),(235,1),(279,1),(280,1)}
       259:{1,3,4}:{(231,1),(232,1),(238,1),(273,1),(281,1)}
       260:{2,3,5}:{(232,1),(233,1),(236,1),(281,1),(282,1),(286,1),(305,1),(308,1),(314,1)}
       261:{1,5}:{(233,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,4,7}:{(235,1),(237,1),(280,1),(283,1)}
       264:{1,3,6}:{(236,1),(237,1),(282,1),(283,1),(284,1)}
       265:{2,3,4}:{(238,1),(239,1),(281,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(243,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(243,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(255,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(256,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(297,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(257,1),(294,1)}
       277:{2,5,7}:{(255,1),(256,1),(289,1),(294,1),(295,1)}
       278:{1,5,6}:{(256,1),(261,1),(291,1),(295,1),(296,1)}
       279:{2,6}:{(257,1),(258,1),(296,1)}
       280:{1,5,7}:{(258,1),(261,1),(263,1),(296,1)}
       281:{2,4}:{(259,1),(260,1),(297,1)}
       282:{1,3,5}:{(260,1),(261,1),(264,1),(297,1),(298,1),(312,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(264,1),(268,1),(298,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(297,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(277,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(281,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(279,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(302,1),(306,1)}
       296:{1,6}:{(279,1),(280,1)}
       297:{1,4}:{(281,1),(282,1)}
       298:{1,2,5}:{(282,1),(284,1),(286,1),(305,1),(307,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(295,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(297,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(296,1)}
       307:{1,2,4}:{(297,1),(298,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1010 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1011 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1012 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1013 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(5,1),(6,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(75,1),(122,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(11,1)}
         4:{4,5,6,7}:{(12,1),(123,1)}
         5:{3,4,6,7}:{(1,1),(12,1),(13,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(92,1),(116,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(15,1),(60,1),(118,1)}
         8:{2,3,4,5}:{(9,1),(16,1),(67,1),(93,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(17,1),(18,1),(69,1),(75,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(19,1),(20,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(20,1),(21,1),(25,1)}
        12:{3,5,6,7}:{(4,1),(5,1),(22,1),(120,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(20,1),(23,1),(24,1),(77,1),(108,1)}
        15:{2,4,5,6}:{(7,1),(21,1),(24,1),(25,1),(46,1),(110,1),(111,1)}
        16:{1,3,4,5}:{(8,1),(18,1),(26,1),(50,1),(51,1),(78,1)}
        17:{2,3,4,7}:{(9,1),(10,1),(27,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(11,1),(16,1),(27,1),(28,1),(36,1),(54,1),(60,1)}
        19:{2,3,6,7}:{(10,1),(13,1),(30,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(35,1)}
        21:{2,5,6}:{(11,1),(28,1),(31,1)}
        22:{2,5,6,7}:{(12,1),(13,1),(33,1),(116,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(30,1),(33,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(15,1),(31,1),(34,1),(35,1),(62,1),(96,1),(98,1)}
        25:{3,5,6}:{(15,1),(35,1),(36,1)}
        26:{2,4,5}:{(16,1),(28,1),(38,1)}
        27:{1,3,4,7}:{(17,1),(18,1),(20,1),(40,1),(49,1),(70,1),(77,1)}
        28:{2,4,6}:{(18,1),(21,1),(26,1),(40,1),(41,1)}
        29:{1,2,5,6}:{(21,1),(39,1),(42,1),(43,1),(101,1),(119,1)}
        30:{1,3,6,7}:{(19,1),(20,1),(23,1),(44,1),(48,1)}
        31:{2,5,7}:{(20,1),(21,1),(40,1),(44,1)}
        32:{2,3,5,6}:{(21,1),(25,1),(41,1),(43,1),(45,1),(46,1),(73,1),(103,1),(110,1)}
        33:{1,5,6,7}:{(22,1),(23,1),(47,1),(108,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(44,1),(47,1),(48,1),(81,1)}
        35:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        36:{3,4,6}:{(25,1),(46,1),(49,1),(50,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(78,1),(84,1),(101,1)}
        38:{2,3,5}:{(26,1),(41,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(28,1),(29,1),(37,1),(53,1),(54,1),(60,1),(86,1)}
        40:{2,4,7}:{(27,1),(28,1),(31,1),(55,1)}
        41:{2,3,6}:{(28,1),(38,1),(54,1),(55,1)}
        42:{1,2,5,7}:{(29,1),(31,1),(53,1),(58,1),(59,1),(112,1)}
        43:{1,3,5,6}:{(29,1),(32,1),(54,1),(57,1),(59,1),(60,1),(88,1),(113,1),(118,1)}
        44:{2,6,7}:{(30,1),(31,1)}
        45:{2,3,5,7}:{(31,1),(32,1),(35,1),(55,1),(59,1),(61,1),(62,1),(96,1)}
        46:{2,4,6}:{(32,1),(36,1),(60,1),(62,1),(63,1)}
        47:{2,5,6,7}:{(33,1),(34,1),(64,1),(96,1)}
        48:{3,6,7}:{(34,1),(35,1)}
        49:{3,4,7}:{(35,1),(36,1),(62,1)}
        50:{3,4,5}:{(36,1),(63,1)}
        51:{1,3,5}:{(37,1),(38,1),(54,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(42,1),(70,1),(77,1),(100,1)}
        54:{1,3,6}:{(39,1),(41,1),(51,1),(69,1),(70,1)}
        55:{2,3,7}:{(40,1),(41,1),(70,1)}
        56:{2,3,4,6}:{(41,1),(46,1),(52,1),(71,1),(72,1),(73,1),(103,1)}
        57:{2,3,5,6}:{(43,1),(69,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        58:{1,2,6,7}:{(42,1),(44,1),(76,1),(119,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(70,1),(74,1),(76,1),(77,1),(108,1)}
        60:{1,4,6}:{(43,1),(46,1),(75,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(79,1),(103,1)}
        62:{2,4,7}:{(45,1),(46,1),(49,1),(77,1)}
        63:{2,4,5}:{(46,1),(50,1),(73,1),(78,1)}
        64:{3,5,6,7}:{(47,1),(48,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(79,1),(81,1),(82,1),(83,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(101,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(54,1),(67,1),(85,1),(86,1)}
        70:{1,3,7}:{(53,1),(54,1),(55,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(60,1),(68,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        72:{2,3,4,7}:{(55,1),(56,1),(62,1),(87,1),(89,1)}
        73:{2,3,5}:{(56,1),(63,1),(88,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        75:{2,4,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        76:{1,3,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(113,1)}
        77:{1,4,7}:{(59,1),(60,1),(62,1),(92,1)}
        78:{1,4,5}:{(60,1),(63,1),(88,1),(93,1)}
        79:{2,4,6,7}:{(61,1),(62,1),(65,1),(94,1),(96,1),(97,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(66,1),(89,1),(95,1),(96,1),(97,1)}
        81:{4,6,7}:{(64,1),(98,1)}
        82:{3,5,7}:{(65,1),(96,1),(98,1),(99,1)}
        83:{3,4,6}:{(66,1),(97,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,3,7}:{(69,1),(70,1),(100,1)}
        86:{2,4,6}:{(69,1),(71,1),(84,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(70,1),(71,1),(72,1),(77,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(71,1),(73,1),(78,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(74,1),(76,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(104,1)}
        93:{2,4,5}:{(75,1),(78,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(79,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(79,1),(82,1),(108,1),(110,1)}
        97:{2,4,6}:{(80,1),(83,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(81,1),(82,1),(111,1)}
        99:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1014 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(101,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(105,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(86,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(91,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(16,1),(17,1),(97,1),(101,1)}
        10:{2,3,6,7}:{(6,1),(16,1),(18,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(17,1),(18,1),(19,1)}
        12:{2,5,6,7}:{(7,1),(19,1),(20,1),(70,1)}
        13:{2,3,5,6}:{(8,1),(16,1),(21,1),(22,1)}
        14:{1,4,5,6}:{(8,1),(17,1),(22,1),(23,1),(75,1),(102,1)}
        15:{2,3,4,5}:{(21,1),(24,1),(77,1),(106,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(13,1),(25,1),(26,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(14,1),(26,1),(27,1),(82,1),(86,1)}
        18:{1,3,6,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(30,1)}
        20:{3,5,6,7}:{(12,1),(29,1),(30,1),(54,1)}
        21:{2,3,4,6}:{(13,1),(15,1),(25,1),(31,1),(88,1),(91,1)}
        22:{1,3,5,6}:{(13,1),(14,1),(26,1),(31,1),(32,1),(33,1)}
        23:{2,4,5,6}:{(14,1),(27,1),(32,1),(33,1),(55,1),(59,1),(87,1)}
        24:{1,3,4,5}:{(15,1),(31,1),(34,1),(60,1),(61,1),(92,1)}
        25:{2,3,4,7}:{(16,1),(21,1),(35,1),(94,1),(97,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(18,1),(22,1),(35,1),(36,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(19,1),(23,1),(36,1),(37,1),(41,1),(66,1),(70,1)}
        28:{2,6,7}:{(18,1),(36,1)}
        29:{3,6,7}:{(19,1),(37,1)}
        30:{4,6,7}:{(20,1),(41,1)}
        31:{1,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(42,1),(45,1),(72,1),(75,1)}
        32:{2,5,6}:{(22,1),(36,1),(42,1)}
        33:{3,5,6}:{(23,1),(37,1),(45,1)}
        34:{2,4,5}:{(24,1),(42,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(31,1),(48,1),(51,1),(79,1),(82,1)}
        36:{2,5,7}:{(26,1),(28,1),(32,1),(48,1)}
        37:{3,5,7}:{(27,1),(29,1),(33,1),(51,1)}
        38:{1,2,6,7}:{(28,1),(49,1),(52,1),(123,1)}
        39:{2,3,6,7}:{(28,1),(29,1),(50,1),(52,1),(53,1),(109,1)}
        40:{3,4,6,7}:{(29,1),(30,1),(51,1),(53,1),(54,1),(84,1)}
        41:{4,5,7}:{(30,1),(54,1),(55,1)}
        42:{2,4,6}:{(31,1),(32,1),(34,1),(48,1),(57,1)}
        43:{1,2,5,6}:{(32,1),(49,1),(56,1),(58,1),(115,1),(123,1)}
        44:{2,3,5,6}:{(32,1),(33,1),(50,1),(57,1),(58,1),(59,1),(87,1),(90,1),(109,1)}
        45:{3,4,6}:{(33,1),(51,1),(59,1),(60,1)}
        46:{1,2,4,5}:{(34,1),(56,1),(61,1),(92,1),(93,1),(115,1)}
        47:{2,3,5}:{(34,1),(57,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(42,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(43,1),(63,1),(65,1),(117,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(44,1),(64,1),(65,1),(66,1),(70,1)}
        51:{3,4,7}:{(37,1),(45,1),(66,1)}
        52:{1,3,6,7}:{(38,1),(39,1),(65,1),(68,1),(69,1),(118,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(66,1),(69,1),(70,1),(99,1)}
        54:{3,5,7}:{(40,1),(41,1),(70,1),(71,1)}
        55:{4,5,6}:{(41,1),(71,1)}
        56:{1,2,4,6}:{(42,1),(43,1),(46,1),(63,1),(72,1),(75,1),(103,1)}
        57:{2,3,6}:{(42,1),(47,1),(64,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(65,1),(72,1),(74,1),(75,1),(102,1),(104,1),(118,1)}
        59:{2,4,6}:{(44,1),(45,1),(66,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,5}:{(46,1),(47,1),(72,1),(77,1),(78,1)}
        62:{2,3,4}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(56,1),(79,1),(82,1),(107,1)}
        64:{2,3,7}:{(48,1),(57,1),(79,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(86,1)}
        66:{2,4,7}:{(50,1),(51,1),(59,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(60,1),(83,1),(84,1)}
        68:{2,3,6,7}:{(52,1),(81,1),(85,1),(123,1),(124,1)}
        69:{1,4,6,7}:{(52,1),(53,1),(82,1),(85,1),(86,1),(112,1)}
        70:{2,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        71:{3,5,6}:{(54,1),(55,1),(84,1),(87,1)}
        72:{1,3,6}:{(56,1),(57,1),(61,1),(79,1),(88,1)}
        73:{2,3,4,6}:{(57,1),(59,1),(62,1),(80,1),(89,1),(90,1),(109,1)}
        74:{2,3,5,6}:{(58,1),(81,1),(88,1),(91,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        75:{1,4,6}:{(58,1),(59,1),(82,1),(91,1),(92,1)}
        76:{2,4,5}:{(59,1),(60,1),(90,1),(92,1)}
        77:{2,3,5}:{(61,1),(88,1),(93,1),(115,1)}
        78:{1,3,4}:{(61,1),(62,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(72,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(73,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(74,1),(94,1),(97,1),(101,1),(117,1),(119,1)}
        82:{1,4,7}:{(65,1),(66,1),(75,1),(97,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(76,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(67,1),(71,1),(99,1)}
        85:{2,4,6,7}:{(68,1),(69,1),(97,1),(100,1),(101,1),(120,1)}
        86:{1,5,7}:{(69,1),(70,1),(101,1),(102,1)}
        87:{2,5,6}:{(70,1),(71,1),(99,1),(102,1)}
        88:{2,3,6}:{(72,1),(77,1),(94,1),(103,1)}
        89:{1,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(95,1),(103,1),(104,1),(105,1),(118,1)}
        90:{2,3,5}:{(73,1),(76,1),(104,1)}
        91:{2,4,6}:{(74,1),(75,1),(97,1),(105,1),(106,1)}
        92:{1,4,5}:{(75,1),(76,1),(104,1),(106,1)}
        93:{2,4}:{(77,1),(78,1)}
        94:{2,3,7}:{(79,1),(88,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(89,1),(107,1),(108,1),(110,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(90,1),(108,1),(109,1)}
        97:{2,4,7}:{(81,1),(82,1),(91,1),(110,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(86,1),(92,1),(108,1),(111,1),(112,1)}
        99:{2,4,6}:{(83,1),(84,1),(87,1),(109,1),(112,1)}
       100:{3,4,6,7}:{(85,1),(110,1),(113,1),(124,1),(125,1)}
       101:{2,5,7}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,5,6}:{(86,1),(87,1),(112,1),(114,1)}
       103:{2,4,6}:{(88,1),(89,1),(93,1),(107,1),(115,1),(123,1)}
       104:{1,3,5}:{(89,1),(90,1),(92,1),(115,1),(116,1)}
       105:{3,4,6}:{(91,1),(110,1),(116,1),(124,1)}
       106:{2,4,5}:{(91,1),(92,1),(115,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(103,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(104,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(99,1),(118,1)}
       110:{3,4,7}:{(97,1),(105,1),(119,1)}
       111:{2,4,5,7}:{(97,1),(98,1),(101,1),(106,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(98,1),(99,1),(102,1),(118,1),(120,1)}
       113:{3,5,7}:{(100,1),(101,1),(121,1),(122,1)}
       114:{2,5,6}:{(101,1),(102,1),(120,1),(122,1)}
       115:{2,5}:{(103,1),(104,1)}
       116:{3,5}:{(105,1),(106,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1015 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(16,1),(18,1),(25,1),(73,1),(148,1),(151,1),(158,1),(160,1),(167,1),(220,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(11,1),(31,1),(36,1),(47,1),(53,1),(94,1),(105,1),(113,1),(129,1),(182,1),(198,1),(204,1),(205,1),(212,1),(262,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(193,1),(206,1),(209,1),(259,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(39,1),(42,1),(114,1),(196,1),(199,1),(213,1),(263,1)}
         4:{1,2,4,6}:{(6,1),(11,1),(12,1),(13,1),(53,1),(56,1),(129,1),(262,1),(265,1),(267,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(25,1),(63,1),(81,1),(142,1),(151,1)}
         6:{2,4,6}:{(1,1),(18,1),(19,1),(20,1),(73,1),(77,1),(245,1),(248,1)}
         7:{1,3,5}:{(1,1),(2,1),(19,1),(21,1),(75,1),(173,1),(226,1),(249,1),(251,1),(294,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(20,1),(22,1),(28,1),(59,1),(69,1),(88,1),(137,1),(152,1),(159,1),(246,1),(256,1),(299,1)}
         9:{2,4,5}:{(2,1),(16,1),(21,1),(23,1),(73,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(25,1),(239,1),(252,1),(295,1)}
        11:{1,3,6}:{(4,1),(18,1),(27,1),(28,1),(301,1)}
        12:{1,2,5}:{(4,1),(19,1),(27,1),(173,1),(294,1)}
        13:{1,2,4,7}:{(4,1),(20,1),(28,1),(30,1),(88,1),(299,1),(300,1)}
        14:{1,2,4,6}:{(6,1),(31,1),(32,1),(33,1),(94,1),(97,1),(182,1),(212,1),(215,1),(217,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(35,1),(36,1),(37,1),(47,1),(105,1),(120,1),(188,1),(198,1),(208,1)}
        16:{2,4,6}:{(5,1),(9,1),(36,1),(38,1),(39,1)}
        17:{2,3,5,7}:{(5,1),(37,1),(39,1),(40,1),(101,1),(112,1),(189,1),(199,1)}
        18:{2,3,6}:{(6,1),(11,1),(31,1),(41,1),(42,1),(105,1),(287,1)}
        19:{2,5}:{(6,1),(7,1)}
        20:{2,4,7}:{(6,1),(8,1),(42,1),(44,1),(285,1)}
        21:{1,4,5}:{(7,1),(9,1),(36,1),(43,1),(53,1),(94,1),(288,1)}
        22:{1,3,5,7}:{(7,1),(8,1),(10,1),(44,1),(46,1),(47,1),(117,1),(290,1),(324,1)}
        23:{3,4,5}:{(9,1),(38,1),(113,1),(193,1),(391,1)}
        24:{2,4,5,7}:{(9,1),(10,1),(39,1),(46,1),(48,1),(49,1),(112,1),(114,1),(206,1)}
        25:{2,3,6}:{(10,1),(47,1),(49,1),(280,1),(291,1),(325,1)}
        26:{1,2,5,6}:{(12,1),(35,1),(50,1),(51,1),(52,1),(56,1),(188,1),(209,1),(265,1),(273,1),(291,1),(323,1),(365,1)}
        27:{1,3,5}:{(11,1),(12,1),(41,1),(53,1)}
        28:{1,3,7}:{(11,1),(13,1),(42,1)}
        29:{1,2,4,5}:{(12,1),(43,1),(51,1),(53,1),(55,1),(119,1),(122,1),(128,1),(207,1),(209,1),(267,1),(323,1),(328,1),(363,1)}
        30:{1,2,5,7}:{(12,1),(13,1),(44,1),(54,1),(56,1),(324,1)}
        31:{1,3,6}:{(14,1),(18,1),(58,1),(59,1),(258,1)}
        32:{1,2,5}:{(14,1),(19,1),(58,1),(226,1),(251,1)}
        33:{1,2,4,7}:{(14,1),(20,1),(59,1),(61,1),(137,1),(256,1),(257,1)}
        34:{2,4,5,6}:{(16,1),(62,1),(63,1),(64,1),(81,1),(142,1),(147,1),(164,1),(240,1),(305,1),(379,1),(390,1)}
        35:{2,5,6}:{(15,1),(19,1),(66,1),(67,1),(77,1),(245,1)}
        36:{1,4,6}:{(15,1),(16,1),(21,1),(66,1),(69,1),(250,1)}
        37:{1,3,5,7}:{(15,1),(17,1),(67,1),(69,1),(70,1),(152,1),(156,1),(235,1),(246,1),(247,1)}
        38:{3,4,6}:{(16,1),(23,1),(63,1),(71,1),(390,1)}
        39:{2,4,7}:{(16,1),(17,1),(69,1),(71,1)}
        40:{2,3,6,7}:{(17,1),(25,1),(70,1),(72,1),(145,1),(236,1)}
        41:{2,3,5}:{(18,1),(19,1),(27,1),(58,1),(73,1),(75,1)}
        42:{2,3,7}:{(18,1),(20,1),(28,1),(59,1),(152,1)}
        43:{2,4,5}:{(19,1),(21,1),(66,1),(73,1),(75,1)}
        44:{2,5,7}:{(19,1),(20,1),(22,1),(77,1)}
        45:{1,3,4,5}:{(21,1),(23,1),(68,1),(75,1),(78,1),(87,1),(136,1),(161,1),(165,1),(218,1),(228,1),(302,1),(350,1)}
        46:{1,4,5,7}:{(21,1),(22,1),(24,1),(69,1),(76,1),(79,1),(88,1),(137,1),(156,1),(173,1),(226,1)}
        47:{1,3,6}:{(22,1),(25,1),(77,1),(79,1),(162,1),(321,1),(348,1)}
        48:{3,4,5,7}:{(23,1),(24,1),(71,1),(80,1),(157,1),(159,1),(239,1),(249,1),(318,1)}
        49:{2,4,6}:{(24,1),(25,1),(79,1),(80,1),(81,1)}
        50:{1,3,5,6}:{(26,1),(27,1),(65,1),(82,1),(83,1),(84,1),(89,1),(165,1),(173,1),(223,1),(253,1),(254,1),(294,1),(346,1),(348,1),(376,1),(388,1)}
        51:{1,2,4,6}:{(26,1),(29,1),(66,1),(82,1),(84,1),(85,1),(154,1),(167,1),(245,1),(305,1)}
        52:{1,2,5,7}:{(26,1),(67,1),(83,1),(85,1),(86,1),(235,1),(252,1),(300,1),(309,1)}
        53:{1,4}:{(27,1),(73,1)}
        54:{1,3,5,7}:{(27,1),(28,1),(30,1),(74,1),(88,1),(89,1),(173,1)}
        55:{1,3,5}:{(29,1),(75,1),(84,1),(87,1),(90,1),(301,1),(350,1)}
        56:{1,2,6}:{(30,1),(77,1),(89,1),(348,1)}
        57:{1,2,5,6}:{(32,1),(35,1),(91,1),(92,1),(93,1),(97,1),(188,1),(215,1),(259,1),(273,1),(289,1),(325,1),(345,1)}
        58:{1,3,5}:{(31,1),(32,1),(41,1),(94,1)}
        59:{1,3,7}:{(31,1),(33,1),(42,1)}
        60:{1,2,4,5}:{(32,1),(43,1),(92,1),(94,1),(96,1),(119,1),(175,1),(181,1),(207,1),(217,1),(259,1),(289,1),(328,1),(343,1)}
        61:{1,2,5,7}:{(32,1),(33,1),(44,1),(95,1),(97,1),(290,1)}
        62:{1,4,5,6}:{(34,1),(36,1),(98,1),(99,1),(100,1),(120,1),(122,1),(175,1),(188,1),(211,1),(261,1),(270,1),(369,1)}
        63:{3,5,6}:{(34,1),(38,1),(101,1),(193,1),(280,1),(332,1)}
        64:{2,4,5,7}:{(34,1),(39,1),(100,1),(101,1),(102,1),(112,1),(189,1),(203,1),(333,1),(371,1),(386,1)}
        65:{2,3,5,6}:{(35,1),(41,1),(50,1),(91,1),(103,1),(104,1),(105,1),(115,1),(126,1),(179,1),(193,1),(206,1),(208,1),(209,1),(259,1),(273,1),(280,1),(281,1),(291,1),(325,1),(332,1),(338,1),(373,1),(385,1),(387,1)}
        66:{2,4,6}:{(35,1),(36,1),(43,1),(105,1),(106,1)}
        67:{2,5,7}:{(35,1),(37,1),(106,1),(107,1),(285,1)}
        68:{1,3,4,6}:{(36,1),(38,1),(45,1),(99,1),(105,1),(108,1),(109,1),(184,1),(198,1),(270,1),(332,1)}
        69:{1,4,7}:{(36,1),(37,1),(39,1),(106,1),(286,1)}
        70:{1,3,6,7}:{(37,1),(40,1),(47,1),(107,1),(110,1),(200,1),(277,1)}
        71:{3,4,7}:{(38,1),(39,1),(101,1),(386,1)}
        72:{2,4,6,7}:{(39,1),(40,1),(49,1),(110,1),(111,1),(112,1)}
        73:{2,4}:{(41,1),(53,1),(94,1),(113,1)}
        74:{2,3,5,7}:{(41,1),(42,1),(44,1),(54,1),(95,1),(114,1),(115,1),(117,1),(206,1)}
        75:{3,5}:{(43,1),(105,1),(113,1)}
        76:{2,4,5,7}:{(43,1),(44,1),(46,1),(106,1),(114,1),(117,1),(118,1),(201,1),(206,1),(286,1),(288,1)}
        77:{2,6}:{(44,1),(47,1)}
        78:{2,4,5}:{(45,1),(108,1),(116,1),(119,1),(128,1),(181,1),(207,1),(209,1),(259,1)}
        79:{1,4,6}:{(46,1),(47,1),(49,1),(118,1),(120,1)}
        80:{3,4,6}:{(48,1),(49,1),(121,1),(280,1),(341,1)}
        81:{2,5,6}:{(49,1),(112,1),(120,1),(121,1),(206,1)}
        82:{1,4,6}:{(50,1),(53,1),(103,1),(122,1),(124,1),(363,1)}
        83:{1,3,5,7}:{(50,1),(52,1),(104,1),(124,1),(125,1),(127,1),(214,1),(266,1),(324,1)}
        84:{1,3,6}:{(51,1),(55,1),(105,1),(126,1),(127,1),(332,1)}
        85:{1,2,4,7}:{(51,1),(52,1),(106,1),(124,1),(127,1),(202,1),(213,1),(285,1),(333,1)}
        86:{1,2,6,7}:{(52,1),(56,1),(107,1),(125,1),(277,1),(291,1),(337,1),(365,1)}
        87:{1,3,4}:{(53,1),(55,1),(113,1),(128,1),(363,1),(366,1)}
        88:{1,4,7}:{(53,1),(54,1),(114,1),(129,1)}
        89:{1,3,6}:{(54,1),(56,1),(115,1),(129,1)}
        90:{2,3,5}:{(55,1),(126,1),(128,1),(130,1),(207,1),(209,1),(287,1)}
        91:{1,3,5,6}:{(57,1),(58,1),(65,1),(131,1),(132,1),(133,1),(138,1),(170,1),(218,1),(226,1),(251,1),(296,1),(297,1),(319,1),(321,1),(362,1),(382,1)}
        92:{1,2,4,6}:{(57,1),(60,1),(66,1),(131,1),(133,1),(134,1),(154,1),(220,1),(245,1),(305,1)}
        93:{1,2,5,7}:{(57,1),(67,1),(132,1),(134,1),(135,1),(235,1),(257,1),(295,1),(309,1)}
        94:{1,4}:{(58,1),(73,1)}
        95:{1,3,5,7}:{(58,1),(59,1),(61,1),(74,1),(137,1),(138,1),(226,1)}
        96:{1,3,5}:{(60,1),(75,1),(133,1),(136,1),(139,1),(258,1),(350,1)}
        97:{1,2,6}:{(61,1),(77,1),(138,1),(321,1)}
        98:{2,4,5,6}:{(62,1),(66,1),(140,1),(141,1),(142,1),(147,1),(163,1),(229,1),(240,1),(250,1),(353,1),(354,1)}
        99:{1,3,5,6}:{(62,1),(63,1),(68,1),(140,1),(142,1),(143,1),(165,1),(218,1),(253,1),(296,1)}
       100:{1,4,5,7}:{(62,1),(64,1),(69,1),(141,1),(143,1),(144,1),(156,1),(235,1),(306,1),(357,1)}
       101:{3,5,7}:{(63,1),(64,1),(71,1),(145,1),(355,1)}
       102:{2,4,6,7}:{(64,1),(144,1),(145,1),(146,1),(236,1),(237,1),(240,1)}
       103:{2,4,6}:{(65,1),(73,1),(82,1),(131,1),(147,1),(148,1),(149,1),(250,1),(358,1),(390,1)}
       104:{2,3,5,7}:{(65,1),(67,1),(83,1),(132,1),(149,1),(150,1),(152,1),(171,1),(224,1),(239,1),(244,1),(247,1),(252,1),(295,1),(309,1),(355,1),(380,1)}
       105:{3,6}:{(66,1),(75,1),(152,1)}
       106:{2,4,7}:{(66,1),(67,1),(69,1),(152,1)}
       107:{2,6,7}:{(67,1),(70,1),(77,1)}
       108:{2,4,6}:{(68,1),(78,1),(142,1),(151,1),(154,1),(155,1),(245,1)}
       109:{1,3,4,7}:{(68,1),(69,1),(71,1),(143,1),(152,1),(155,1),(230,1),(246,1),(306,1),(355,1)}
       110:{1,4,6,7}:{(69,1),(70,1),(72,1),(79,1),(153,1),(156,1)}
       111:{3,4,6,7}:{(71,1),(72,1),(80,1),(145,1),(157,1),(237,1)}
       112:{2,5,7}:{(72,1),(81,1),(156,1),(157,1)}
       113:{3,4}:{(73,1),(75,1)}
       114:{2,4,7}:{(73,1),(74,1),(88,1),(137,1),(159,1),(160,1)}
       115:{2,3,6}:{(74,1),(77,1),(89,1),(138,1),(160,1),(162,1)}
       116:{2,3,5}:{(75,1),(78,1),(151,1),(158,1),(161,1),(350,1)}
       117:{3,5,7}:{(75,1),(76,1),(152,1),(159,1),(162,1),(249,1)}
       118:{2,4,6}:{(76,1),(77,1),(79,1),(162,1),(163,1),(250,1)}
       119:{1,4,5}:{(78,1),(154,1),(161,1),(172,1),(225,1),(251,1),(294,1)}
       120:{1,5,6}:{(79,1),(81,1),(156,1),(163,1),(173,1),(226,1)}
       121:{3,5,6}:{(80,1),(81,1),(157,1),(164,1),(249,1)}
       122:{1,4,5}:{(82,1),(147,1),(165,1),(173,1),(294,1),(388,1)}
       123:{1,3,4,6}:{(82,1),(84,1),(87,1),(148,1),(165,1),(167,1),(168,1),(253,1)}
       124:{1,4,7}:{(82,1),(83,1),(149,1)}
       125:{1,3,6,7}:{(83,1),(86,1),(89,1),(150,1),(169,1),(253,1),(348,1),(376,1)}
       126:{2,3,6}:{(84,1),(90,1),(167,1),(170,1),(171,1),(245,1)}
       127:{1,3,7}:{(84,1),(85,1),(152,1),(171,1),(355,1)}
       128:{2,4}:{(87,1),(90,1),(172,1)}
       129:{1,4,6}:{(88,1),(89,1),(160,1),(173,1)}
       130:{1,3,5}:{(90,1),(170,1),(172,1),(174,1),(251,1),(258,1)}
       131:{1,4,6}:{(91,1),(94,1),(103,1),(175,1),(177,1),(343,1)}
       132:{1,3,5,7}:{(91,1),(93,1),(104,1),(177,1),(178,1),(180,1),(216,1),(264,1),(290,1)}
       133:{1,3,6}:{(92,1),(96,1),(105,1),(179,1),(180,1),(332,1)}
       134:{1,2,4,7}:{(92,1),(93,1),(106,1),(177,1),(180,1),(202,1),(263,1),(285,1),(333,1)}
       135:{1,2,6,7}:{(93,1),(97,1),(107,1),(178,1),(277,1),(325,1),(337,1),(345,1)}
       136:{1,3,4}:{(94,1),(96,1),(113,1),(181,1),(343,1),(366,1)}
       137:{1,4,7}:{(94,1),(95,1),(114,1),(182,1)}
       138:{1,3,6}:{(95,1),(97,1),(115,1),(182,1)}
       139:{2,3,5}:{(96,1),(179,1),(181,1),(183,1),(207,1),(259,1),(287,1)}
       140:{3,5,6}:{(98,1),(105,1),(184,1),(186,1),(193,1),(280,1)}
       141:{2,4,5,7}:{(98,1),(100,1),(106,1),(186,1),(187,1),(189,1),(201,1),(271,1),(286,1),(335,1),(336,1)}
       142:{2,5,6}:{(99,1),(108,1),(188,1),(189,1),(209,1),(259,1),(291,1),(325,1)}
       143:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(186,1),(189,1),(190,1)}
       144:{1,4,6,7}:{(100,1),(102,1),(187,1),(190,1),(191,1),(211,1),(261,1),(277,1)}
       145:{3,6,7}:{(101,1),(102,1),(280,1)}
       146:{2,5,6,7}:{(102,1),(112,1),(191,1),(192,1),(281,1),(371,1)}
       147:{2,4,5}:{(103,1),(122,1),(175,1),(193,1),(206,1),(209,1),(259,1),(288,1),(387,1),(391,1)}
       148:{3,4,6}:{(103,1),(105,1),(113,1),(193,1),(196,1),(280,1),(332,1),(366,1)}
       149:{2,4,7}:{(103,1),(104,1),(124,1),(177,1),(196,1),(286,1),(386,1)}
       150:{2,3,6,7}:{(104,1),(107,1),(115,1),(125,1),(178,1),(197,1),(200,1),(280,1),(291,1),(325,1),(337,1),(370,1),(373,1)}
       151:{2,3,6}:{(105,1),(108,1),(116,1),(198,1),(199,1),(332,1)}
       152:{3,7}:{(105,1),(106,1)}
       153:{2,4,6,7}:{(106,1),(107,1),(110,1),(118,1),(200,1),(201,1),(286,1)}
       154:{1,4,6}:{(108,1),(119,1),(188,1),(198,1),(202,1)}
       155:{2,4,7}:{(108,1),(109,1),(189,1),(199,1),(202,1),(285,1)}
       156:{1,5,7}:{(110,1),(112,1),(120,1),(201,1)}
       157:{3,5,7}:{(111,1),(112,1),(121,1),(203,1)}
       158:{2,3,4}:{(113,1),(116,1),(128,1),(181,1),(204,1),(287,1),(366,1)}
       159:{3,4,7}:{(113,1),(114,1),(117,1),(205,1),(286,1)}
       160:{2,4,6}:{(114,1),(115,1),(129,1),(182,1),(205,1),(206,1)}
       161:{1,3,5}:{(116,1),(119,1),(198,1),(204,1),(207,1)}
       162:{3,6}:{(117,1),(118,1)}
       163:{2,5,6}:{(118,1),(120,1),(201,1),(206,1),(208,1)}
       164:{4,5,6}:{(121,1),(203,1),(288,1),(341,1)}
       165:{1,3,5}:{(122,1),(123,1),(193,1),(209,1)}
       166:{1,4,5,7}:{(122,1),(124,1),(194,1),(210,1),(211,1),(214,1),(324,1)}
       167:{2,4,6}:{(123,1),(126,1),(128,1),(209,1),(212,1),(213,1),(291,1)}
       168:{1,3,4,7}:{(123,1),(124,1),(127,1),(196,1),(210,1),(213,1)}
       169:{1,4,6,7}:{(124,1),(125,1),(129,1),(197,1),(211,1),(214,1),(383,1)}
       170:{1,3,6}:{(126,1),(130,1),(212,1),(215,1),(216,1)}
       171:{2,3,7}:{(126,1),(127,1),(213,1),(216,1),(285,1)}
       172:{1,4}:{(128,1),(130,1)}
       173:{1,5}:{(129,1),(206,1)}
       174:{1,2,5}:{(130,1),(207,1),(215,1),(217,1)}
       175:{1,4,5}:{(131,1),(147,1),(218,1),(226,1),(251,1),(382,1)}
       176:{1,3,4,6}:{(131,1),(133,1),(136,1),(148,1),(218,1),(220,1),(221,1),(296,1)}
       177:{1,4,7}:{(131,1),(132,1),(149,1)}
       178:{1,3,6,7}:{(132,1),(135,1),(138,1),(150,1),(222,1),(296,1),(321,1),(362,1)}
       179:{2,3,6}:{(133,1),(139,1),(220,1),(223,1),(224,1),(245,1)}
       180:{1,3,7}:{(133,1),(134,1),(152,1),(224,1),(355,1)}
       181:{2,4}:{(136,1),(139,1),(225,1)}
       182:{1,4,6}:{(137,1),(138,1),(160,1),(226,1)}
       183:{1,3,5}:{(139,1),(223,1),(225,1),(227,1),(294,1),(301,1)}
       184:{3,4,6}:{(140,1),(228,1),(229,1),(230,1),(250,1)}
       185:{2,3,5,6}:{(140,1),(142,1),(151,1),(229,1),(231,1),(232,1),(238,1),(314,1),(353,1)}
       186:{3,5,7}:{(140,1),(141,1),(152,1),(230,1),(233,1)}
       187:{2,4,6,7}:{(141,1),(144,1),(233,1),(234,1),(236,1),(240,1),(311,1)}
       188:{1,5,6}:{(142,1),(154,1),(235,1),(251,1),(294,1),(321,1),(348,1)}
       189:{2,5,7}:{(142,1),(143,1),(155,1),(235,1),(236,1)}
       190:{1,3,6,7}:{(143,1),(144,1),(145,1),(233,1),(236,1),(253,1),(296,1)}
       191:{1,5,6,7}:{(144,1),(146,1),(156,1),(234,1),(254,1),(297,1),(357,1)}
       192:{3,5,6,7}:{(145,1),(146,1),(157,1),(237,1),(315,1),(380,1)}
       193:{3,5}:{(147,1),(148,1)}
       194:{2,4,5,7}:{(147,1),(149,1),(166,1),(219,1),(239,1),(240,1),(244,1),(252,1),(295,1),(318,1)}
       195:{2,3,4,6}:{(148,1),(151,1),(158,1),(167,1),(220,1),(229,1),(238,1),(241,1),(242,1),(314,1),(316,1),(358,1),(381,1)}
       196:{3,4,7}:{(148,1),(149,1),(152,1),(239,1),(355,1)}
       197:{2,4,6,7}:{(149,1),(150,1),(160,1),(169,1),(222,1),(240,1),(243,1),(244,1),(381,1)}
       198:{1,3,6}:{(151,1),(154,1),(161,1),(245,1),(246,1)}
       199:{2,3,7}:{(151,1),(152,1),(155,1),(246,1),(355,1)}
       200:{3,6,7}:{(152,1),(153,1),(162,1),(247,1)}
       201:{2,5,7}:{(153,1),(156,1),(163,1),(247,1)}
       202:{1,4,7}:{(154,1),(155,1),(235,1),(246,1)}
       203:{4,5,7}:{(157,1),(164,1),(237,1)}
       204:{1,3,4}:{(158,1),(161,1),(172,1),(225,1),(248,1),(258,1),(301,1)}
       205:{3,4,6}:{(159,1),(160,1),(162,1),(249,1),(250,1)}
       206:{2,5}:{(160,1),(173,1),(226,1),(249,1)}
       207:{2,5}:{(161,1),(245,1),(248,1)}
       208:{3,5,6}:{(162,1),(163,1),(247,1),(249,1),(250,1)}
       209:{2,5}:{(165,1),(167,1),(251,1)}
       210:{1,3,5,7}:{(165,1),(166,1),(168,1),(239,1),(252,1),(253,1)}
       211:{1,4,6}:{(166,1),(240,1),(253,1),(254,1),(348,1)}
       212:{1,4,6}:{(167,1),(170,1),(172,1),(251,1),(256,1),(321,1)}
       213:{2,4,7}:{(167,1),(168,1),(171,1),(252,1),(256,1)}
       214:{1,5,7}:{(169,1),(173,1),(244,1),(254,1),(388,1)}
       215:{1,2,6}:{(170,1),(174,1),(245,1),(257,1)}
       216:{1,3,7}:{(170,1),(171,1),(256,1),(257,1)}
       217:{1,2,4}:{(172,1),(174,1),(248,1),(258,1)}
       218:{1,3,5}:{(175,1),(176,1),(193,1),(259,1)}
       219:{1,4,5,7}:{(175,1),(177,1),(194,1),(260,1),(261,1),(264,1),(290,1)}
       220:{2,4,6}:{(176,1),(179,1),(181,1),(259,1),(262,1),(263,1),(325,1)}
       221:{1,3,4,7}:{(176,1),(177,1),(180,1),(196,1),(260,1),(263,1)}
       222:{1,4,6,7}:{(177,1),(178,1),(182,1),(197,1),(261,1),(264,1),(374,1)}
       223:{1,3,6}:{(179,1),(183,1),(262,1),(265,1),(266,1)}
       224:{2,3,7}:{(179,1),(180,1),(263,1),(266,1),(285,1)}
       225:{1,4}:{(181,1),(183,1)}
       226:{1,5}:{(182,1),(206,1)}
       227:{1,2,5}:{(183,1),(207,1),(265,1),(267,1)}
       228:{3,4,5}:{(184,1),(193,1),(268,1),(288,1),(366,1)}
       229:{2,4,6}:{(184,1),(185,1),(268,1),(270,1),(271,1)}
       230:{3,4,7}:{(184,1),(186,1),(271,1),(286,1)}
       231:{1,3,5,6}:{(185,1),(188,1),(198,1),(270,1),(273,1),(274,1),(278,1),(332,1),(340,1),(369,1),(385,1)}
       232:{2,3,5,7}:{(185,1),(186,1),(189,1),(199,1),(271,1),(274,1),(275,1),(335,1)}
       233:{3,6,7}:{(186,1),(187,1),(280,1)}
       234:{2,5,6,7}:{(187,1),(191,1),(201,1),(276,1),(281,1),(335,1)}
       235:{1,5,7}:{(188,1),(189,1),(202,1),(277,1)}
       236:{2,6,7}:{(189,1),(190,1),(277,1),(291,1),(325,1)}
       237:{4,6,7}:{(192,1),(203,1),(341,1),(386,1)}
       238:{2,3,5}:{(193,1),(195,1),(209,1),(259,1),(268,1),(278,1),(387,1)}
       239:{3,5,7}:{(193,1),(194,1),(196,1),(280,1)}
       240:{2,4,6}:{(194,1),(211,1),(261,1),(280,1),(281,1),(291,1),(325,1),(341,1)}
       241:{1,3,4,6}:{(195,1),(198,1),(204,1),(212,1),(262,1),(270,1),(278,1),(282,1),(283,1),(292,1),(326,1),(332,1),(340,1),(343,1),(363,1),(366,1),(374,1),(383,1),(384,1)}
       242:{2,3,4,7}:{(195,1),(196,1),(199,1),(213,1),(263,1),(271,1),(279,1),(283,1),(342,1),(372,1)}
       243:{3,4,6,7}:{(196,1),(197,1),(200,1),(205,1),(280,1),(284,1),(286,1),(341,1),(370,1),(384,1),(386,1)}
       244:{2,5,7}:{(197,1),(206,1),(214,1),(264,1),(281,1),(284,1),(387,1)}
       245:{2,6}:{(198,1),(207,1),(285,1)}
       246:{1,3,7}:{(198,1),(199,1),(202,1),(285,1)}
       247:{3,5,7}:{(200,1),(201,1),(208,1),(286,1)}
       248:{2,4}:{(204,1),(207,1),(287,1)}
       249:{3,5}:{(205,1),(206,1),(288,1)}
       250:{4,6}:{(208,1),(286,1),(288,1)}
       251:{1,5}:{(209,1),(212,1)}
       252:{2,5,7}:{(209,1),(210,1),(213,1),(290,1),(291,1)}
       253:{1,3,6}:{(210,1),(211,1),(280,1),(291,1)}
       254:{1,5,6}:{(211,1),(214,1),(281,1)}
       255:{1,2,4,6}:{(212,1),(215,1),(217,1),(282,1),(289,1),(292,1),(293,1),(343,1),(345,1),(374,1)}
       256:{1,4,7}:{(212,1),(213,1),(216,1),(290,1)}
       257:{1,2,7}:{(215,1),(216,1),(285,1)}
       258:{1,3}:{(217,1),(287,1)}
       259:{2,5}:{(218,1),(220,1),(294,1)}
       260:{1,3,5,7}:{(218,1),(219,1),(221,1),(239,1),(295,1),(296,1)}
       261:{1,4,6}:{(219,1),(240,1),(296,1),(297,1),(321,1)}
       262:{1,4,6}:{(220,1),(223,1),(225,1),(294,1),(299,1),(348,1)}
       263:{2,4,7}:{(220,1),(221,1),(224,1),(295,1),(299,1)}
       264:{1,5,7}:{(222,1),(226,1),(244,1),(297,1),(382,1)}
       265:{1,2,6}:{(223,1),(227,1),(245,1),(300,1)}
       266:{1,3,7}:{(223,1),(224,1),(299,1),(300,1)}
       267:{1,2,4}:{(225,1),(227,1),(248,1),(301,1)}
       268:{2,4,5}:{(228,1),(229,1),(238,1),(302,1),(358,1)}
       269:{3,4,5,7}:{(228,1),(230,1),(239,1),(303,1),(304,1),(308,1),(318,1),(377,1),(389,1)}
       270:{1,4,6}:{(229,1),(231,1),(302,1),(305,1),(306,1),(390,1)}
       271:{2,4,7}:{(229,1),(230,1),(232,1),(306,1)}
       272:{3,4,6,7}:{(230,1),(233,1),(304,1),(307,1),(308,1),(311,1)}
       273:{2,5,6}:{(231,1),(245,1),(305,1),(309,1),(312,1),(360,1)}
       274:{1,3,5,7}:{(231,1),(232,1),(235,1),(246,1),(306,1),(309,1),(310,1),(355,1),(357,1),(380,1)}
       275:{2,3,6,7}:{(232,1),(233,1),(236,1),(307,1),(310,1),(314,1)}
       276:{3,5,6,7}:{(233,1),(234,1),(247,1),(308,1),(311,1),(315,1)}
       277:{1,6,7}:{(235,1),(236,1),(321,1),(348,1)}
       278:{1,3,5}:{(238,1),(241,1),(251,1),(294,1),(302,1),(312,1),(350,1),(382,1),(388,1),(389,1)}
       279:{2,3,5,7}:{(238,1),(239,1),(242,1),(252,1),(295,1),(303,1),(313,1),(314,1)}
       280:{3,6}:{(239,1),(240,1)}
       281:{2,5,6}:{(240,1),(244,1),(254,1),(297,1),(315,1)}
       282:{2,4,6}:{(241,1),(245,1),(248,1),(312,1),(316,1),(317,1),(358,1),(360,1)}
       283:{1,3,4,7}:{(241,1),(242,1),(246,1),(256,1),(299,1),(306,1),(313,1),(317,1),(322,1),(349,1),(355,1),(361,1),(375,1),(377,1)}
       284:{3,5,7}:{(243,1),(244,1),(249,1),(315,1),(318,1),(389,1)}
       285:{2,7}:{(245,1),(246,1)}
       286:{4,7}:{(247,1),(250,1)}
       287:{2,3}:{(248,1),(258,1),(301,1)}
       288:{4,5}:{(249,1),(250,1)}
       289:{1,2,5}:{(251,1),(255,1),(312,1),(319,1),(382,1)}
       290:{1,5,7}:{(251,1),(252,1),(256,1),(321,1)}
       291:{2,6}:{(252,1),(253,1),(321,1)}
       292:{1,3,6}:{(255,1),(258,1),(316,1),(319,1),(322,1)}
       293:{1,2,4,7}:{(255,1),(256,1),(257,1),(317,1),(320,1),(322,1),(361,1)}
       294:{1,5}:{(259,1),(262,1)}
       295:{2,5,7}:{(259,1),(260,1),(263,1),(324,1),(325,1)}
       296:{1,3,6}:{(260,1),(261,1),(280,1),(325,1)}
       297:{1,5,6}:{(261,1),(264,1),(281,1)}
       298:{1,2,4,6}:{(262,1),(265,1),(267,1),(282,1),(323,1),(326,1),(327,1),(363,1),(365,1),(383,1)}
       299:{1,4,7}:{(262,1),(263,1),(266,1),(324,1)}
       300:{1,2,7}:{(265,1),(266,1),(285,1)}
       301:{1,3}:{(267,1),(287,1)}
       302:{1,4,5}:{(268,1),(270,1),(278,1),(328,1),(343,1),(363,1),(391,1)}
       303:{2,4,5,7}:{(268,1),(269,1),(271,1),(279,1),(329,1),(330,1),(335,1),(372,1),(387,1)}
       304:{3,4,6}:{(269,1),(280,1),(330,1),(331,1),(341,1)}
       305:{2,4,6}:{(270,1),(273,1),(328,1),(332,1),(333,1)}
       306:{1,4,7}:{(270,1),(271,1),(274,1),(333,1),(386,1)}
       307:{2,4,6,7}:{(271,1),(272,1),(275,1),(330,1),(334,1),(335,1)}
       308:{3,5,7}:{(272,1),(331,1),(335,1),(336,1)}
       309:{2,5,7}:{(273,1),(274,1),(285,1),(333,1),(337,1)}
       310:{1,3,6,7}:{(274,1),(275,1),(277,1),(334,1),(337,1),(340,1),(370,1)}
       311:{4,6,7}:{(276,1),(286,1),(336,1),(341,1)}
       312:{2,5}:{(278,1),(282,1)}
       313:{1,3,5,7}:{(278,1),(279,1),(283,1),(290,1),(324,1),(329,1),(339,1),(340,1),(367,1)}
       314:{2,3,6}:{(279,1),(280,1),(291,1),(325,1),(330,1),(340,1)}
       315:{3,5,6}:{(280,1),(281,1),(284,1),(341,1)}
       316:{2,3,6}:{(282,1),(287,1),(292,1),(326,1),(332,1),(338,1),(342,1)}
       317:{2,4,7}:{(282,1),(283,1),(285,1),(339,1),(342,1)}
       318:{4,5,7}:{(284,1),(286,1),(288,1),(341,1),(386,1),(391,1)}
       319:{1,3,5}:{(289,1),(292,1),(338,1),(343,1)}
       320:{1,2,5,7}:{(289,1),(290,1),(293,1),(339,1),(344,1),(345,1)}
       321:{1,6}:{(290,1),(291,1)}
       322:{1,3,7}:{(292,1),(293,1),(342,1)}
       323:{1,2,5}:{(294,1),(298,1),(312,1),(346,1),(388,1)}
       324:{1,5,7}:{(294,1),(295,1),(299,1),(348,1)}
       325:{2,6}:{(295,1),(296,1),(348,1)}
       326:{1,3,6}:{(298,1),(301,1),(316,1),(346,1),(349,1)}
       327:{1,2,4,7}:{(298,1),(299,1),(300,1),(317,1),(347,1),(349,1),(375,1)}
       328:{2,4,5}:{(302,1),(305,1),(312,1),(350,1),(358,1)}
       329:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(351,1),(352,1),(357,1),(361,1),(375,1),(382,1),(388,1)}
       330:{2,4,6}:{(303,1),(304,1),(314,1),(352,1),(353,1)}
       331:{3,5,6}:{(304,1),(308,1),(353,1),(354,1),(389,1)}
       332:{3,6}:{(305,1),(350,1),(355,1)}
       333:{2,4,7}:{(305,1),(306,1),(309,1),(355,1)}
       334:{1,4,6,7}:{(306,1),(307,1),(310,1),(352,1),(356,1),(357,1)}
       335:{2,5,7}:{(307,1),(308,1),(353,1),(357,1)}
       336:{4,5,7}:{(308,1),(311,1),(354,1)}
       337:{2,6,7}:{(309,1),(310,1),(360,1)}
       338:{2,3,5}:{(312,1),(316,1),(319,1),(346,1),(350,1),(358,1)}
       339:{2,5,7}:{(312,1),(313,1),(317,1),(360,1)}
       340:{1,3,6}:{(313,1),(314,1),(321,1),(348,1),(352,1),(360,1),(378,1)}
       341:{4,6}:{(315,1),(318,1)}
       342:{2,3,7}:{(316,1),(317,1),(322,1),(349,1),(355,1)}
       343:{1,4}:{(319,1),(358,1)}
       344:{1,3,5,7}:{(319,1),(320,1),(322,1),(359,1),(361,1),(362,1),(382,1)}
       345:{1,2,6}:{(320,1),(321,1),(360,1),(362,1)}
       346:{1,3,5}:{(323,1),(326,1),(338,1),(363,1)}
       347:{1,2,5,7}:{(323,1),(324,1),(327,1),(339,1),(364,1),(365,1)}
       348:{1,6}:{(324,1),(325,1)}
       349:{1,3,7}:{(326,1),(327,1),(342,1)}
       350:{3,5}:{(328,1),(332,1),(366,1)}
       351:{2,4,5,7}:{(328,1),(329,1),(333,1),(339,1),(367,1),(368,1),(371,1),(372,1),(386,1),(387,1),(391,1)}
       352:{1,4,6}:{(329,1),(330,1),(340,1),(368,1),(369,1)}
       353:{2,5,6}:{(330,1),(331,1),(335,1),(369,1),(387,1)}
       354:{4,5,6}:{(331,1),(336,1),(341,1),(391,1)}
       355:{3,7}:{(332,1),(333,1)}
       356:{2,4,6,7}:{(333,1),(334,1),(337,1),(368,1),(370,1),(371,1),(386,1)}
       357:{1,5,7}:{(334,1),(335,1),(369,1),(371,1)}
       358:{2,4}:{(338,1),(343,1),(363,1),(366,1)}
       359:{2,3,5,7}:{(338,1),(339,1),(342,1),(344,1),(364,1),(367,1),(372,1),(373,1),(387,1)}
       360:{2,6}:{(339,1),(340,1)}
       361:{1,4,7}:{(343,1),(344,1),(372,1),(374,1)}
       362:{1,3,6}:{(344,1),(345,1),(373,1),(374,1)}
       363:{1,4}:{(346,1),(358,1)}
       364:{1,3,5,7}:{(346,1),(347,1),(349,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,2,6}:{(347,1),(348,1),(360,1),(376,1)}
       366:{3,4}:{(350,1),(358,1)}
       367:{3,5,7}:{(350,1),(351,1),(355,1),(377,1),(378,1),(389,1)}
       368:{2,4,6}:{(351,1),(352,1),(360,1),(378,1),(379,1),(390,1)}
       369:{1,5,6}:{(352,1),(353,1),(357,1),(379,1),(382,1),(388,1)}
       370:{3,6,7}:{(355,1),(356,1),(378,1),(380,1)}
       371:{2,5,7}:{(356,1),(357,1),(379,1),(380,1)}
       372:{2,4,7}:{(358,1),(359,1),(361,1),(375,1),(377,1),(381,1)}
       373:{2,3,6}:{(359,1),(360,1),(362,1),(376,1),(378,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,4,7}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,3,6}:{(364,1),(365,1),(373,1),(383,1)}
       377:{3,4,7}:{(366,1),(367,1),(372,1),(384,1),(386,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{2,5,6}:{(368,1),(369,1),(371,1),(385,1),(387,1)}
       380:{3,5,7}:{(370,1),(371,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(384,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,4,6}:{(377,1),(378,1),(381,1),(389,1),(390,1)}
       385:{3,5,6}:{(378,1),(379,1),(380,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(389,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{3,5}:{(384,1),(387,1),(391,1)}
       390:{4,6}:{(385,1),(386,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

1016 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(70,1),(76,1),(219,1),(221,1),(229,1),(272,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(40,1),(51,1),(94,1),(111,1),(168,1),(244,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(52,1),(88,1),(94,1),(109,1),(182,1),(259,1),(265,1),(303,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(104,1),(112,1),(181,1),(183,1),(186,1),(192,1),(238,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(52,1),(303,1),(305,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(28,1),(66,1),(70,1),(76,1),(141,1)}
         7:{3,4,6}:{(1,1),(18,1),(20,1),(277,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(17,1),(21,1),(22,1),(27,1),(62,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(18,1),(22,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(21,1),(25,1),(26,1),(293,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(22,1),(26,1),(27,1),(31,1),(60,1),(75,1),(81,1),(86,1),(123,1),(128,1),(130,1),(145,1),(148,1),(222,1),(224,1),(230,1),(273,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(141,1),(218,1),(228,1),(271,1)}
        13:{1,2,5,7}:{(5,1),(21,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(81,1),(86,1),(273,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(88,1),(265,1),(267,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(36,1),(37,1),(50,1),(52,1),(88,1),(98,1),(109,1),(116,1),(160,1)}
        18:{2,4,6}:{(6,1),(7,1),(9,1),(37,1),(39,1)}
        19:{3,4,6,7}:{(7,1),(38,1),(40,1),(103,1),(111,1),(177,1)}
        20:{3,5,6}:{(7,1),(39,1),(40,1),(41,1),(168,1)}
        21:{2,5,7}:{(8,1),(10,1),(43,1),(49,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(43,1),(95,1),(322,1),(347,1)}
        23:{2,3,6,7}:{(9,1),(38,1),(44,1),(46,1),(177,1),(252,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(39,1),(45,1),(46,1),(47,1),(102,1),(176,1),(183,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(182,1)}
        26:{2,4,6}:{(10,1),(11,1),(43,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(116,1),(160,1),(168,1),(264,1),(302,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(42,1),(52,1),(53,1),(56,1),(116,1)}
        30:{1,2,6}:{(13,1),(43,1),(53,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(116,1),(302,1)}
        33:{1,2,5,7}:{(16,1),(21,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(123,1),(128,1),(230,1),(232,1),(233,1)}
        36:{2,4,5,7}:{(17,1),(21,1),(62,1),(63,1),(70,1),(79,1),(133,1),(141,1),(144,1),(206,1),(208,1)}
        37:{1,4,6}:{(17,1),(18,1),(22,1),(63,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(19,1),(23,1),(64,1),(66,1),(76,1)}
        39:{2,5,6}:{(18,1),(20,1),(65,1),(66,1),(141,1)}
        40:{3,5,7}:{(19,1),(20,1),(66,1),(69,1)}
        41:{4,5,6}:{(20,1),(69,1),(206,1),(277,1)}
        42:{2,3,5,7}:{(21,1),(25,1),(29,1),(58,1),(62,1),(70,1),(71,1),(78,1),(141,1)}
        43:{2,6}:{(21,1),(22,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(64,1),(72,1),(74,1),(131,1),(287,1)}
        45:{1,3,5,6}:{(22,1),(24,1),(27,1),(65,1),(73,1),(74,1),(75,1),(132,1),(145,1),(215,1),(222,1)}
        46:{2,3,5,7}:{(23,1),(24,1),(66,1),(74,1),(76,1),(139,1),(214,1),(221,1)}
        47:{2,4,6}:{(24,1),(28,1),(75,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(145,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(75,1),(79,1),(86,1),(128,1),(206,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(218,1),(391,1)}
        52:{1,4,7}:{(29,1),(70,1),(81,1),(86,1)}
        53:{1,3,6}:{(29,1),(30,1),(71,1),(81,1)}
        54:{1,2,6,7}:{(30,1),(72,1),(82,1),(84,1),(287,1),(295,1),(339,1),(363,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(73,1),(83,1),(84,1),(85,1),(215,1),(228,1),(275,1),(286,1),(295,1),(328,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(152,1),(157,1),(225,1),(228,1),(276,1),(328,1),(334,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(42,1),(88,1),(89,1),(92,1),(160,1)}
        59:{1,2,6}:{(33,1),(43,1),(89,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(160,1),(264,1)}
        62:{3,5,7}:{(36,1),(94,1),(95,1),(113,1),(168,1),(182,1)}
        63:{2,4,6}:{(36,1),(37,1),(43,1),(95,1),(97,1),(170,1)}
        64:{1,4,6,7}:{(37,1),(38,1),(44,1),(96,1),(98,1),(109,1)}
        65:{1,5,6}:{(37,1),(39,1),(97,1),(98,1),(116,1),(160,1)}
        66:{2,5,7}:{(38,1),(39,1),(40,1),(98,1)}
        67:{2,4,5,6}:{(39,1),(41,1),(47,1),(99,1),(101,1),(102,1),(176,1),(179,1),(254,1),(314,1),(377,1),(389,1)}
        68:{3,5,6,7}:{(40,1),(100,1),(103,1),(177,1),(243,1),(380,1)}
        69:{4,5,7}:{(40,1),(41,1),(103,1)}
        70:{2,4,7}:{(42,1),(52,1),(88,1),(94,1),(104,1),(112,1)}
        71:{2,3,6}:{(42,1),(43,1),(53,1),(89,1),(95,1),(104,1)}
        72:{2,6,7}:{(43,1),(44,1),(107,1)}
        73:{2,5,6}:{(43,1),(45,1),(49,1),(107,1),(108,1),(260,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(98,1),(107,1),(109,1),(169,1),(182,1),(253,1),(259,1)}
        75:{1,4,6}:{(45,1),(47,1),(50,1),(108,1),(109,1),(170,1)}
        76:{2,4,7}:{(46,1),(47,1),(109,1),(111,1)}
        77:{3,4,6}:{(47,1),(51,1),(102,1),(111,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(108,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(110,1),(113,1),(114,1),(121,1),(165,1),(187,1),(190,1),(236,1),(245,1),(310,1),(354,1)}
        81:{1,4,6}:{(52,1),(53,1),(104,1),(116,1)}
        82:{1,3,6,7}:{(53,1),(54,1),(105,1),(115,1),(117,1),(262,1),(347,1),(375,1)}
        83:{1,3,5,6}:{(53,1),(55,1),(56,1),(106,1),(116,1),(117,1),(118,1),(120,1),(188,1),(190,1),(240,1),(262,1),(302,1),(347,1),(349,1),(375,1),(388,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(107,1),(117,1),(119,1),(253,1),(263,1),(305,1),(316,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(108,1),(118,1),(119,1),(120,1),(185,1),(192,1),(260,1),(314,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(354,1)}
        88:{1,4,7}:{(58,1),(70,1),(123,1),(128,1)}
        89:{1,3,6}:{(58,1),(59,1),(71,1),(123,1)}
        90:{1,2,6,7}:{(59,1),(72,1),(124,1),(126,1),(287,1),(326,1),(339,1),(344,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(73,1),(125,1),(126,1),(127,1),(215,1),(232,1),(271,1),(286,1),(297,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(198,1),(203,1),(225,1),(233,1),(271,1),(297,1),(334,1),(346,1)}
        94:{3,4,7}:{(62,1),(70,1),(130,1),(148,1),(208,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,4,6,7}:{(63,1),(64,1),(72,1),(131,1),(133,1),(144,1),(208,1)}
        97:{2,5,6}:{(63,1),(65,1),(132,1),(133,1),(141,1)}
        98:{1,5,7}:{(64,1),(65,1),(66,1),(133,1)}
        99:{1,4,5,6}:{(65,1),(67,1),(75,1),(134,1),(136,1),(137,1),(152,1),(198,1),(215,1),(226,1),(269,1),(283,1),(366,1)}
       100:{2,5,6,7}:{(66,1),(68,1),(135,1),(138,1),(216,1),(370,1)}
       101:{2,4,5,7}:{(66,1),(67,1),(69,1),(76,1),(136,1),(138,1),(139,1),(214,1),(337,1),(370,1),(386,1)}
       102:{3,5,6}:{(67,1),(77,1),(139,1),(218,1),(288,1),(338,1)}
       103:{4,6,7}:{(68,1),(69,1),(277,1),(386,1)}
       104:{2,4,6}:{(70,1),(71,1),(81,1),(123,1),(130,1),(141,1)}
       105:{2,3,6,7}:{(71,1),(72,1),(82,1),(124,1),(131,1),(140,1),(142,1),(288,1),(295,1),(326,1),(339,1),(371,1),(372,1)}
       106:{2,3,5,6}:{(71,1),(73,1),(78,1),(83,1),(125,1),(132,1),(141,1),(142,1),(143,1),(145,1),(156,1),(202,1),(216,1),(218,1),(228,1),(271,1),(286,1),(288,1),(295,1),(326,1),(338,1),(342,1),(372,1),(384,1),(387,1)}
       107:{2,5,7}:{(72,1),(73,1),(74,1),(144,1),(293,1)}
       108:{2,4,6}:{(73,1),(75,1),(79,1),(144,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(76,1),(144,1),(208,1)}
       110:{1,3,4,6}:{(75,1),(77,1),(80,1),(137,1),(145,1),(146,1),(147,1),(209,1),(222,1),(283,1),(338,1)}
       111:{3,4,7}:{(76,1),(77,1),(139,1),(386,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(145,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(228,1),(271,1)}
       115:{1,4,6,7}:{(81,1),(82,1),(140,1),(151,1),(153,1),(226,1),(383,1)}
       116:{1,5}:{(81,1),(141,1)}
       117:{1,3,5,7}:{(82,1),(83,1),(84,1),(142,1),(151,1),(153,1),(155,1),(274,1),(327,1)}
       118:{1,4,6}:{(83,1),(86,1),(143,1),(152,1),(153,1),(365,1)}
       119:{1,2,4,7}:{(84,1),(85,1),(144,1),(153,1),(155,1),(223,1),(229,1),(293,1),(337,1)}
       120:{1,3,6}:{(85,1),(87,1),(145,1),(155,1),(156,1),(338,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(369,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(228,1),(294,1)}
       123:{1,4,6}:{(88,1),(89,1),(104,1),(160,1)}
       124:{1,3,6,7}:{(89,1),(90,1),(105,1),(159,1),(161,1),(300,1),(322,1),(361,1)}
       125:{1,3,5,6}:{(89,1),(91,1),(92,1),(106,1),(160,1),(161,1),(162,1),(164,1),(194,1),(234,1),(236,1),(264,1),(300,1),(322,1),(324,1),(361,1),(382,1)}
       126:{1,2,5,7}:{(90,1),(91,1),(107,1),(161,1),(163,1),(253,1),(267,1),(301,1),(316,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(108,1),(162,1),(163,1),(164,1),(185,1),(238,1),(260,1),(314,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(354,1)}
       130:{3,4,6}:{(94,1),(95,1),(104,1),(168,1),(170,1)}
       131:{3,6,7}:{(95,1),(96,1),(169,1),(182,1)}
       132:{3,5,6}:{(95,1),(97,1),(168,1),(169,1),(170,1)}
       133:{2,5,7}:{(96,1),(97,1),(98,1),(169,1)}
       134:{2,4,5,6}:{(97,1),(99,1),(108,1),(170,1),(172,1),(173,1),(176,1),(179,1),(248,1),(254,1),(307,1),(351,1)}
       135:{1,5,6,7}:{(98,1),(100,1),(171,1),(174,1),(188,1),(234,1),(355,1)}
       136:{1,4,5,7}:{(98,1),(99,1),(101,1),(109,1),(172,1),(174,1),(175,1),(253,1),(313,1),(355,1)}
       137:{1,3,5,6}:{(99,1),(102,1),(110,1),(173,1),(175,1),(176,1),(190,1),(236,1),(262,1),(300,1)}
       138:{2,4,6,7}:{(100,1),(101,1),(103,1),(174,1),(177,1),(252,1),(254,1)}
       139:{3,5,7}:{(101,1),(102,1),(111,1),(177,1),(357,1)}
       140:{2,4,6,7}:{(104,1),(105,1),(115,1),(159,1),(167,1),(178,1),(180,1),(254,1),(381,1)}
       141:{2,5}:{(104,1),(116,1),(160,1),(168,1)}
       142:{2,3,5,7}:{(105,1),(106,1),(107,1),(117,1),(161,1),(169,1),(178,1),(180,1),(182,1),(193,1),(239,1),(255,1),(263,1),(301,1),(316,1),(357,1),(380,1)}
       143:{2,4,6}:{(106,1),(112,1),(118,1),(162,1),(170,1),(179,1),(180,1),(181,1),(360,1),(389,1)}
       144:{2,4,7}:{(107,1),(108,1),(109,1),(182,1)}
       145:{3,6}:{(108,1),(113,1),(182,1)}
       146:{1,3,4,7}:{(109,1),(110,1),(111,1),(175,1),(182,1),(184,1),(247,1),(259,1),(313,1),(357,1)}
       147:{2,4,6}:{(110,1),(114,1),(176,1),(183,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(183,1),(186,1),(187,1),(354,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(264,1),(302,1)}
       151:{1,5,7}:{(115,1),(116,1),(178,1),(188,1),(388,1)}
       152:{1,4,5}:{(116,1),(118,1),(179,1),(190,1),(302,1),(388,1)}
       153:{1,4,7}:{(117,1),(118,1),(180,1)}
       154:{1,3,4,6}:{(118,1),(120,1),(121,1),(181,1),(190,1),(191,1),(192,1),(262,1)}
       155:{1,3,7}:{(119,1),(120,1),(182,1),(193,1),(357,1)}
       156:{2,3,6}:{(120,1),(122,1),(192,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(264,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(124,1),(140,1),(197,1),(199,1),(269,1),(374,1)}
       160:{1,5}:{(123,1),(141,1)}
       161:{1,3,5,7}:{(124,1),(125,1),(126,1),(142,1),(197,1),(199,1),(201,1),(231,1),(296,1)}
       162:{1,4,6}:{(125,1),(128,1),(143,1),(198,1),(199,1),(346,1)}
       163:{1,2,4,7}:{(126,1),(127,1),(144,1),(199,1),(201,1),(223,1),(272,1),(293,1),(337,1)}
       164:{1,3,6}:{(127,1),(129,1),(145,1),(201,1),(202,1),(338,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(369,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(271,1),(294,1)}
       167:{3,4,6,7}:{(130,1),(131,1),(140,1),(205,1),(208,1),(219,1),(277,1),(288,1),(371,1),(385,1),(386,1)}
       168:{3,5}:{(130,1),(141,1),(206,1)}
       169:{3,5,7}:{(131,1),(132,1),(133,1),(208,1)}
       170:{4,6}:{(132,1),(206,1),(208,1)}
       171:{2,5,6,7}:{(133,1),(135,1),(207,1),(210,1),(216,1),(335,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(136,1),(144,1),(208,1),(210,1),(211,1),(214,1),(280,1),(282,1),(335,1)}
       173:{3,5,6}:{(134,1),(145,1),(209,1),(211,1),(218,1),(288,1)}
       174:{1,4,6,7}:{(135,1),(136,1),(138,1),(210,1),(213,1),(226,1),(269,1),(287,1)}
       175:{1,3,5,7}:{(136,1),(137,1),(139,1),(146,1),(211,1),(213,1),(214,1)}
       176:{2,5,6}:{(137,1),(147,1),(214,1),(215,1),(228,1),(271,1),(295,1),(326,1)}
       177:{3,6,7}:{(138,1),(139,1),(288,1)}
       178:{2,5,7}:{(140,1),(141,1),(151,1),(197,1),(205,1),(216,1),(387,1)}
       179:{2,4,5}:{(141,1),(143,1),(152,1),(198,1),(206,1),(218,1),(228,1),(271,1),(387,1),(391,1)}
       180:{2,4,7}:{(142,1),(143,1),(153,1),(199,1),(208,1),(219,1),(386,1)}
       181:{3,4,6}:{(143,1),(145,1),(148,1),(218,1),(219,1),(288,1),(338,1),(369,1)}
       182:{3,7}:{(144,1),(145,1)}
       183:{2,3,6}:{(145,1),(147,1),(149,1),(221,1),(222,1),(338,1)}
       184:{2,4,7}:{(146,1),(147,1),(214,1),(221,1),(223,1),(293,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(222,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(369,1)}
       187:{1,3,5}:{(149,1),(150,1),(222,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,5}:{(152,1),(154,1),(218,1),(228,1)}
       191:{1,3,4,7}:{(153,1),(154,1),(155,1),(219,1),(227,1),(229,1)}
       192:{2,4,6}:{(154,1),(156,1),(157,1),(228,1),(229,1),(230,1),(295,1)}
       193:{2,3,7}:{(155,1),(156,1),(229,1),(231,1),(293,1)}
       194:{1,3,6}:{(156,1),(158,1),(230,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(160,1),(178,1),(234,1),(382,1)}
       198:{1,4,5}:{(160,1),(162,1),(179,1),(236,1),(264,1),(382,1)}
       199:{1,4,7}:{(161,1),(162,1),(180,1)}
       200:{1,3,4,6}:{(162,1),(164,1),(165,1),(181,1),(236,1),(237,1),(238,1),(300,1)}
       201:{1,3,7}:{(163,1),(164,1),(182,1),(239,1),(357,1)}
       202:{2,3,6}:{(164,1),(166,1),(238,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(302,1),(306,1)}
       205:{3,5,7}:{(167,1),(168,1),(178,1),(243,1),(244,1),(390,1)}
       206:{4,5}:{(168,1),(170,1)}
       207:{3,5,6,7}:{(169,1),(171,1),(243,1),(246,1),(249,1),(311,1)}
       208:{4,7}:{(169,1),(170,1)}
       209:{3,4,6}:{(170,1),(173,1),(245,1),(247,1),(248,1)}
       210:{2,4,6,7}:{(171,1),(172,1),(174,1),(246,1),(249,1),(252,1),(254,1)}
       211:{3,5,7}:{(172,1),(173,1),(182,1),(247,1),(249,1)}
       212:{2,3,5,6}:{(173,1),(176,1),(183,1),(248,1),(250,1),(251,1),(256,1),(317,1),(351,1)}
       213:{1,3,6,7}:{(174,1),(175,1),(177,1),(249,1),(252,1),(262,1),(300,1)}
       214:{2,5,7}:{(175,1),(176,1),(184,1),(252,1),(253,1)}
       215:{1,5,6}:{(176,1),(185,1),(253,1),(264,1),(302,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(243,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(180,1),(189,1),(235,1),(244,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,5}:{(179,1),(181,1)}
       219:{3,4,7}:{(180,1),(181,1),(182,1),(255,1),(357,1)}
       220:{2,3,4,6}:{(181,1),(183,1),(186,1),(192,1),(238,1),(248,1),(256,1),(257,1),(258,1),(317,1),(321,1),(360,1),(381,1)}
       221:{2,3,7}:{(182,1),(183,1),(184,1),(259,1),(357,1)}
       222:{1,3,6}:{(183,1),(185,1),(187,1),(259,1),(260,1)}
       223:{1,4,7}:{(184,1),(185,1),(253,1),(259,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(191,1),(255,1),(262,1),(263,1)}
       228:{2,5}:{(190,1),(192,1),(264,1)}
       229:{2,4,7}:{(191,1),(192,1),(193,1),(263,1),(265,1)}
       230:{1,4,6}:{(192,1),(194,1),(195,1),(264,1),(265,1),(322,1)}
       231:{1,3,7}:{(193,1),(194,1),(265,1),(267,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(267,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,5}:{(198,1),(200,1),(218,1),(271,1)}
       237:{1,3,4,7}:{(199,1),(200,1),(201,1),(219,1),(270,1),(272,1)}
       238:{2,4,6}:{(200,1),(202,1),(203,1),(271,1),(272,1),(273,1),(326,1)}
       239:{2,3,7}:{(201,1),(202,1),(272,1),(274,1),(293,1)}
       240:{1,3,6}:{(202,1),(204,1),(273,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{3,5,6}:{(205,1),(216,1),(277,1),(288,1)}
       244:{4,5,7}:{(205,1),(206,1),(208,1),(277,1),(386,1),(391,1)}
       245:{3,4,5}:{(206,1),(209,1),(218,1),(279,1),(369,1)}
       246:{4,6,7}:{(207,1),(208,1),(277,1),(280,1)}
       247:{3,4,7}:{(208,1),(209,1),(211,1),(282,1)}
       248:{2,4,6}:{(209,1),(212,1),(279,1),(282,1),(283,1)}
       249:{3,6,7}:{(210,1),(211,1),(288,1)}
       250:{2,3,5,7}:{(211,1),(212,1),(214,1),(221,1),(282,1),(284,1),(285,1),(335,1)}
       251:{1,3,5,6}:{(212,1),(215,1),(222,1),(283,1),(285,1),(286,1),(290,1),(338,1),(340,1),(366,1),(384,1)}
       252:{2,6,7}:{(213,1),(214,1),(287,1),(295,1),(326,1)}
       253:{1,5,7}:{(214,1),(215,1),(223,1),(287,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(277,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(219,1),(288,1)}
       256:{2,3,5}:{(218,1),(220,1),(228,1),(271,1),(279,1),(290,1),(387,1)}
       257:{2,3,4,7}:{(219,1),(220,1),(221,1),(229,1),(272,1),(282,1),(289,1),(291,1),(343,1),(373,1)}
       258:{1,3,4,6}:{(220,1),(222,1),(224,1),(230,1),(273,1),(283,1),(290,1),(291,1),(292,1),(299,1),(330,1),(338,1),(340,1),(346,1),(365,1),(369,1),(374,1),(383,1),(385,1)}
       259:{1,3,7}:{(221,1),(222,1),(223,1),(293,1)}
       260:{2,6}:{(222,1),(225,1),(293,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(229,1),(295,1),(296,1)}
       264:{1,5}:{(228,1),(230,1)}
       265:{1,4,7}:{(229,1),(230,1),(231,1),(296,1)}
       266:{1,2,4,6}:{(230,1),(232,1),(233,1),(292,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       267:{1,2,7}:{(231,1),(232,1),(293,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(237,1),(255,1),(300,1),(301,1)}
       271:{2,5}:{(236,1),(238,1),(302,1)}
       272:{2,4,7}:{(237,1),(238,1),(239,1),(301,1),(303,1)}
       273:{1,4,6}:{(238,1),(240,1),(241,1),(302,1),(303,1),(347,1)}
       274:{1,3,7}:{(239,1),(240,1),(303,1),(305,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(305,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,6}:{(243,1),(244,1)}
       278:{3,4,5,7}:{(244,1),(245,1),(247,1),(255,1),(308,1),(309,1),(311,1),(379,1),(390,1)}
       279:{2,4,5}:{(245,1),(248,1),(256,1),(310,1),(360,1)}
       280:{4,5,7}:{(246,1),(307,1),(311,1)}
       281:{3,4,6,7}:{(246,1),(247,1),(249,1),(308,1),(311,1),(312,1)}
       282:{2,4,7}:{(247,1),(248,1),(250,1),(313,1)}
       283:{1,4,6}:{(248,1),(251,1),(310,1),(313,1),(314,1),(389,1)}
       284:{2,3,6,7}:{(249,1),(250,1),(252,1),(312,1),(315,1),(317,1)}
       285:{1,3,5,7}:{(250,1),(251,1),(253,1),(259,1),(313,1),(315,1),(316,1),(355,1),(357,1),(380,1)}
       286:{2,5,6}:{(251,1),(260,1),(314,1),(316,1),(319,1),(358,1)}
       287:{1,6,7}:{(252,1),(253,1),(322,1),(347,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(257,1),(263,1),(301,1),(309,1),(317,1),(318,1)}
       290:{1,3,5}:{(256,1),(258,1),(264,1),(302,1),(310,1),(319,1),(354,1),(382,1),(388,1),(390,1)}
       291:{1,3,4,7}:{(257,1),(258,1),(259,1),(265,1),(303,1),(313,1),(318,1),(320,1),(325,1),(350,1),(357,1),(362,1),(376,1),(379,1)}
       292:{2,4,6}:{(258,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       293:{2,7}:{(259,1),(260,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(265,1),(322,1)}
       297:{1,2,5}:{(264,1),(266,1),(319,1),(324,1),(382,1)}
       298:{1,2,4,7}:{(265,1),(266,1),(267,1),(320,1),(323,1),(325,1),(362,1)}
       299:{1,3,6}:{(266,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(272,1),(326,1),(327,1)}
       302:{1,5}:{(271,1),(273,1)}
       303:{1,4,7}:{(272,1),(273,1),(274,1),(327,1)}
       304:{1,2,4,6}:{(273,1),(275,1),(276,1),(292,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       305:{1,2,7}:{(274,1),(275,1),(293,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(280,1),(331,1),(391,1)}
       308:{3,4,6}:{(277,1),(278,1),(288,1),(331,1),(332,1)}
       309:{2,4,5,7}:{(278,1),(279,1),(282,1),(289,1),(332,1),(333,1),(335,1),(373,1),(387,1)}
       310:{1,4,5}:{(279,1),(283,1),(290,1),(334,1),(346,1),(365,1),(391,1)}
       311:{3,5,7}:{(280,1),(281,1),(331,1),(335,1)}
       312:{2,4,6,7}:{(281,1),(282,1),(284,1),(332,1),(335,1),(336,1)}
       313:{1,4,7}:{(282,1),(283,1),(285,1),(337,1),(386,1)}
       314:{2,4,6}:{(283,1),(286,1),(334,1),(337,1),(338,1)}
       315:{1,3,6,7}:{(284,1),(285,1),(287,1),(336,1),(339,1),(340,1),(371,1)}
       316:{2,5,7}:{(285,1),(286,1),(293,1),(337,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(332,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(291,1),(296,1),(327,1),(333,1),(340,1),(341,1),(368,1)}
       319:{2,5}:{(290,1),(292,1)}
       320:{2,4,7}:{(291,1),(292,1),(293,1),(341,1),(343,1)}
       321:{2,3,6}:{(292,1),(294,1),(299,1),(330,1),(338,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,5}:{(297,1),(299,1),(342,1),(346,1)}
       325:{1,3,7}:{(298,1),(299,1),(343,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(303,1),(347,1)}
       328:{1,2,5}:{(302,1),(304,1),(319,1),(349,1),(388,1)}
       329:{1,2,4,7}:{(303,1),(304,1),(305,1),(320,1),(348,1),(350,1),(376,1)}
       330:{1,3,6}:{(304,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,4,6}:{(308,1),(309,1),(317,1),(351,1),(352,1)}
       333:{1,4,5,7}:{(309,1),(310,1),(313,1),(318,1),(352,1),(353,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       334:{2,4,5}:{(310,1),(314,1),(319,1),(354,1),(360,1)}
       335:{2,5,7}:{(311,1),(312,1),(351,1),(355,1)}
       336:{1,4,6,7}:{(312,1),(313,1),(315,1),(352,1),(355,1),(356,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(357,1)}
       338:{3,6}:{(314,1),(354,1),(357,1)}
       339:{2,6,7}:{(315,1),(316,1),(358,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(352,1),(358,1),(378,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,5}:{(319,1),(321,1),(324,1),(349,1),(354,1),(360,1)}
       343:{2,3,7}:{(320,1),(321,1),(325,1),(350,1),(357,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(324,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,5}:{(328,1),(330,1),(342,1),(365,1)}
       350:{1,3,7}:{(329,1),(330,1),(343,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,4,6}:{(332,1),(333,1),(340,1),(366,1),(367,1)}
       353:{2,4,5,7}:{(333,1),(334,1),(337,1),(341,1),(367,1),(368,1),(370,1),(373,1),(386,1),(387,1),(391,1)}
       354:{3,5}:{(334,1),(338,1),(369,1)}
       355:{1,5,7}:{(335,1),(336,1),(366,1),(370,1)}
       356:{2,4,6,7}:{(336,1),(337,1),(339,1),(367,1),(370,1),(371,1),(386,1)}
       357:{3,7}:{(337,1),(338,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(368,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(342,1),(346,1),(365,1),(369,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(349,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(355,1),(377,1),(382,1),(388,1)}
       367:{2,4,6}:{(352,1),(353,1),(358,1),(377,1),(378,1),(389,1)}
       368:{3,5,7}:{(353,1),(354,1),(357,1),(378,1),(379,1),(390,1)}
       369:{3,4}:{(354,1),(360,1)}
       370:{2,5,7}:{(355,1),(356,1),(377,1),(380,1)}
       371:{3,6,7}:{(356,1),(357,1),(378,1),(380,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(378,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(379,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(370,1),(384,1),(387,1)}
       378:{3,6}:{(367,1),(368,1)}
       379:{3,4,7}:{(368,1),(369,1),(373,1),(385,1),(386,1)}
       380:{3,5,7}:{(370,1),(371,1),(384,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(385,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(380,1),(389,1),(390,1)}
       385:{3,4,6}:{(378,1),(379,1),(381,1),(389,1),(390,1)}
       386:{4,7}:{(380,1),(389,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(386,1),(391,1)}
       390:{3,5}:{(385,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

1017 :  0:{2,3,4}:{(2,1),(3,1),(22,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(81,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(26,1),(38,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(38,1)}
        5:{4,5,6}:{(14,1),(15,1),(86,1),(95,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1)}
        7:{2,4,5}:{(1,1),(2,1),(16,1),(18,1),(50,1),(73,1)}
        8:{2,3,6}:{(2,1),(16,1),(19,1),(20,1)}
        9:{1,3,5}:{(2,1),(3,1),(18,1),(19,1),(21,1),(47,1)}
       10:{2,4}:{(3,1),(21,1),(22,1)}
       11:{1,2,5}:{(4,1),(21,1),(23,1),(24,1)}
       12:{1,3}:{(4,1),(22,1)}
       13:{1,2,4}:{(10,1),(25,1),(26,1),(55,1)}
       14:{3,5,6}:{(5,1),(6,1),(27,1),(28,1),(81,1),(94,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{2,4,6}:{(6,1),(7,1),(8,1),(27,1),(30,1),(31,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1)}
       18:{1,4,5}:{(7,1),(9,1),(30,1),(32,1),(38,1),(55,1),(64,1),(76,1)}
       19:{1,3,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(59,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{2,5}:{(9,1),(10,1),(33,1)}
       22:{2,3}:{(10,1),(12,1),(26,1)}
       23:{1,2,6}:{(11,1),(33,1),(36,1),(37,1)}
       24:{1,3,5}:{(11,1),(12,1),(35,1),(36,1),(38,1),(64,1)}
       25:{1,2,5}:{(13,1),(21,1),(39,1),(40,1)}
       26:{1,3}:{(13,1),(22,1)}
       27:{2,5,6}:{(14,1),(16,1),(41,1),(42,1),(73,1),(90,1)}
       28:{3,5,7}:{(14,1),(15,1),(17,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1),(95,1)}
       30:{1,4,6}:{(16,1),(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{2,4,7}:{(16,1),(17,1),(20,1),(42,1),(46,1)}
       32:{2,4,5}:{(18,1),(21,1),(45,1),(47,1),(50,1),(73,1),(86,1)}
       33:{2,6}:{(19,1),(21,1),(49,1)}
       34:{1,3,7}:{(19,1),(20,1),(46,1),(49,1),(72,1)}
       35:{2,3,5}:{(21,1),(22,1),(24,1),(40,1),(47,1),(48,1),(50,1),(73,1)}
       36:{1,3,6}:{(23,1),(24,1),(48,1),(51,1),(52,1)}
       37:{1,2,7}:{(23,1),(49,1),(52,1)}
       38:{1,4}:{(24,1),(50,1)}
       39:{1,2,6}:{(25,1),(33,1),(53,1),(54,1)}
       40:{1,3,5}:{(25,1),(26,1),(35,1),(53,1),(55,1),(76,1)}
       41:{1,5,6}:{(27,1),(30,1),(56,1),(57,1),(64,1),(76,1),(84,1),(91,1)}
       42:{2,5,7}:{(27,1),(28,1),(31,1),(57,1),(58,1)}
       43:{3,6,7}:{(28,1),(29,1),(58,1),(94,1)}
       44:{5,6,7}:{(29,1),(97,1)}
       45:{2,4,6}:{(30,1),(32,1),(33,1),(56,1),(59,1),(60,1),(78,1)}
       46:{1,4,7}:{(30,1),(31,1),(34,1),(57,1),(60,1)}
       47:{3,5}:{(32,1),(59,1),(61,1)}
       48:{2,3,6}:{(33,1),(35,1),(36,1),(53,1),(59,1),(62,1),(63,1)}
       49:{2,7}:{(33,1),(34,1)}
       50:{2,4}:{(35,1),(38,1),(55,1),(61,1)}
       51:{1,4,6}:{(36,1),(38,1),(62,1),(64,1),(65,1),(84,1)}
       52:{1,3,7}:{(36,1),(37,1),(63,1),(65,1)}
       53:{1,3,6}:{(39,1),(40,1),(48,1),(66,1),(67,1)}
       54:{1,2,7}:{(39,1),(49,1),(67,1)}
       55:{1,4}:{(40,1),(50,1)}
       56:{2,5,6}:{(41,1),(45,1),(68,1),(69,1),(73,1),(90,1)}
       57:{1,5,7}:{(41,1),(42,1),(46,1),(69,1),(70,1)}
       58:{2,6,7}:{(42,1),(43,1),(70,1),(90,1)}
       59:{3,6}:{(45,1),(47,1),(72,1)}
       60:{2,4,7}:{(45,1),(46,1),(49,1),(69,1),(72,1),(87,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,4,6}:{(48,1),(50,1),(51,1),(66,1),(71,1),(73,1),(74,1),(90,1)}
       63:{2,3,7}:{(48,1),(49,1),(52,1),(67,1),(72,1),(74,1)}
       64:{1,5}:{(51,1),(73,1)}
       65:{1,4,7}:{(51,1),(52,1),(74,1),(75,1)}
       66:{1,4,6}:{(53,1),(55,1),(62,1),(76,1),(77,1),(91,1)}
       67:{1,3,7}:{(53,1),(54,1),(63,1),(77,1)}
       68:{3,5,6}:{(56,1),(59,1),(78,1),(79,1),(81,1),(94,1),(97,1)}
       69:{2,5,7}:{(56,1),(57,1),(60,1),(79,1),(80,1)}
       70:{1,6,7}:{(57,1),(58,1),(80,1),(84,1),(91,1)}
       71:{3,4,6}:{(59,1),(61,1),(62,1),(78,1),(81,1),(82,1),(94,1)}
       72:{3,7}:{(59,1),(60,1)}
       73:{2,5}:{(62,1),(64,1),(76,1),(81,1)}
       74:{2,4,7}:{(62,1),(63,1),(65,1),(77,1),(82,1),(83,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,5}:{(66,1),(73,1)}
       77:{1,4,7}:{(66,1),(67,1),(74,1),(85,1)}
       78:{4,6}:{(68,1),(86,1),(87,1)}
       79:{3,5,7}:{(68,1),(69,1),(72,1),(87,1),(88,1),(96,1)}
       80:{2,6,7}:{(69,1),(70,1),(88,1),(90,1)}
       81:{3,5}:{(71,1),(73,1),(86,1)}
       82:{3,4,7}:{(71,1),(72,1),(74,1),(87,1),(89,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(81,1)}
       87:{4,7}:{(78,1),(79,1)}
       88:{3,6,7}:{(79,1),(80,1),(93,1),(94,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(92,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(89,1),(95,1),(96,1)}
       93:{4,6,7}:{(87,1),(88,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(95,1)}
       95:{4,6}:{(92,1),(94,1),(97,1)}
       96:{5,7}:{(93,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1018 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1019 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(30,1),(31,1),(69,1),(72,1),(83,1),(88,1),(122,1),(129,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(21,1),(54,1),(59,1),(63,1),(93,1),(99,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(46,1),(91,1),(150,1),(158,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(129,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(119,1),(128,1),(185,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(72,1),(121,1)}
         7:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(46,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(4,1),(17,1),(18,1),(49,1),(52,1),(54,1),(93,1),(148,1),(159,1),(160,1),(164,1),(194,1),(209,1),(233,1),(241,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(24,1),(59,1),(100,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(158,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(54,1),(98,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(46,1),(97,1),(150,1)}
        15:{1,3,5,6,7}:{(7,1),(9,1),(28,1),(29,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(10,1),(27,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(31,1),(34,1),(74,1),(130,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(12,1),(32,1),(34,1),(71,1),(119,1),(173,1),(185,1),(223,1),(239,1)}
        19:{2,4,5,6}:{(10,1),(27,1),(36,1),(37,1),(80,1),(121,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(33,1),(41,1),(42,1),(82,1),(86,1),(126,1),(129,1),(144,1),(180,1),(187,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(34,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(67,1),(77,1),(89,1),(117,1),(128,1),(136,1),(172,1),(190,1),(213,1),(225,1)}
        27:{2,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(91,1),(194,1)}
        28:{2,5,6,7}:{(15,1),(20,1),(47,1),(91,1),(148,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(21,1),(45,1),(47,1)}
        30:{3,4,6,7}:{(16,1),(22,1),(46,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(100,1),(148,1),(153,1),(204,1)}
        32:{1,2,5,6}:{(18,1),(20,1),(51,1),(52,1),(95,1),(108,1),(158,1),(160,1),(167,1),(206,1),(207,1),(231,1)}
        33:{1,3,4,6,7}:{(17,1),(23,1),(49,1),(53,1),(54,1),(97,1),(99,1),(102,1),(153,1),(155,1),(159,1),(202,1),(209,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(24,1),(50,1),(51,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(25,1),(52,1),(54,1),(55,1),(65,1),(96,1),(98,1),(104,1),(116,1),(158,1),(163,1),(164,1),(194,1),(203,1),(207,1),(210,1),(229,1),(234,1),(241,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(45,1),(56,1),(57,1),(98,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(46,1),(150,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(51,1),(58,1),(59,1),(100,1),(110,1),(158,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(53,1),(61,1),(62,1),(110,1),(158,1),(168,1),(205,1)}
        42:{2,4,7}:{(24,1),(54,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(91,1),(104,1),(116,1),(146,1),(158,1),(165,1),(194,1),(210,1)}
        45:{1,4,5,7}:{(27,1),(29,1),(36,1),(66,1),(67,1),(119,1),(172,1)}
        46:{3,5,7}:{(27,1),(30,1),(37,1),(213,1)}
        47:{2,4,6,7}:{(28,1),(29,1),(39,1),(66,1),(68,1)}
        48:{1,3,4,6,7}:{(29,1),(30,1),(40,1),(67,1),(68,1),(69,1),(117,1),(120,1),(172,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(33,1),(71,1),(72,1),(124,1),(129,1),(182,1),(222,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(70,1),(71,1),(72,1),(125,1),(173,1),(213,1)}
        51:{1,3,5,6}:{(32,1),(34,1),(38,1),(70,1),(73,1),(74,1),(128,1),(130,1),(185,1),(224,1)}
        52:{1,2,4,6}:{(32,1),(35,1),(39,1),(73,1),(74,1),(84,1),(124,1),(129,1),(143,1),(188,1),(191,1),(222,1),(237,1)}
        53:{1,3,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(125,1),(128,1),(185,1),(223,1)}
        54:{1,4,7}:{(34,1),(42,1),(72,1),(73,1)}
        55:{1,3,5,7}:{(35,1),(43,1),(74,1),(77,1),(78,1),(125,1),(128,1),(189,1),(213,1),(224,1),(225,1),(238,1),(244,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(66,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(67,1),(79,1),(80,1),(128,1)}
        58:{2,4,6}:{(38,1),(42,1),(73,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(75,1),(86,1),(140,1),(180,1),(184,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(76,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(213,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(119,1),(134,1),(172,1),(185,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(47,1),(56,1),(90,1),(91,1),(146,1)}
        67:{1,3,5,7}:{(45,1),(46,1),(48,1),(57,1),(90,1),(91,1)}
        68:{3,6,7}:{(47,1),(59,1),(90,1)}
        69:{2,4,6,7}:{(48,1),(60,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,3,5,6}:{(50,1),(51,1),(94,1),(95,1),(100,1),(150,1),(153,1),(158,1),(167,1),(211,1),(212,1)}
        71:{2,5,7}:{(49,1),(53,1),(95,1),(158,1)}
        72:{2,4,7}:{(50,1),(54,1),(94,1),(97,1)}
        73:{1,4,6}:{(51,1),(54,1),(58,1),(94,1),(98,1),(234,1)}
        74:{1,3,6}:{(52,1),(55,1),(59,1),(100,1),(153,1),(211,1),(242,1)}
        75:{1,3,5,6}:{(53,1),(61,1),(95,1),(102,1),(153,1),(202,1),(206,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(62,1),(96,1),(98,1),(102,1)}
        77:{1,3,4,7}:{(54,1),(55,1),(63,1),(97,1),(99,1),(104,1),(234,1),(235,1),(243,1)}
        78:{2,3,5,7}:{(55,1),(100,1),(104,1),(105,1),(116,1),(158,1),(171,1),(203,1),(204,1),(212,1),(232,1)}
        79:{3,5,6}:{(56,1),(59,1),(90,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(91,1),(108,1),(158,1)}
        81:{2,4,5}:{(58,1),(98,1),(110,1),(158,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(101,1),(113,1),(168,1),(201,1),(205,1)}
        86:{2,4,6}:{(61,1),(62,1),(102,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(104,1),(111,1),(115,1),(146,1),(204,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{3,5,7}:{(66,1),(68,1),(79,1),(117,1)}
        91:{2,5,7}:{(67,1),(69,1),(80,1),(119,1)}
        92:{2,3,6,7}:{(68,1),(69,1),(83,1),(118,1),(120,1),(213,1)}
        93:{1,4,6,7}:{(69,1),(84,1),(119,1),(120,1),(172,1)}
        94:{2,4,6}:{(70,1),(72,1),(73,1),(121,1),(122,1),(226,1)}
        95:{2,5,6}:{(71,1),(75,1),(124,1),(222,1)}
        96:{2,4,5,7}:{(71,1),(72,1),(76,1),(121,1),(124,1),(125,1)}
        97:{3,4,7}:{(72,1),(122,1),(125,1),(213,1)}
        98:{1,4,5}:{(73,1),(81,1),(121,1),(128,1),(185,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(77,1),(82,1),(122,1),(128,1),(129,1)}
       100:{2,3,6}:{(74,1),(78,1),(129,1),(130,1),(143,1),(222,1)}
       101:{1,3,5,6,7}:{(75,1),(85,1),(123,1),(131,1),(179,1),(183,1),(221,1),(223,1)}
       102:{1,4,6}:{(75,1),(76,1),(86,1),(124,1)}
       103:{1,3,4,5,7}:{(76,1),(77,1),(87,1),(125,1),(128,1),(132,1),(133,1),(174,1),(181,1),(183,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       104:{2,4,7}:{(77,1),(78,1),(129,1),(134,1),(226,1),(240,1)}
       105:{1,3,5,7}:{(78,1),(130,1),(134,1),(135,1),(185,1),(189,1),(224,1)}
       106:{3,4,6}:{(79,1),(117,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(118,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(119,1),(185,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(127,1),(139,1),(140,1),(184,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(129,1),(137,1),(141,1),(142,1),(220,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(131,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(134,1),(142,1),(145,1),(172,1),(189,1),(213,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{3,4,7}:{(90,1),(106,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(107,1),(146,1),(147,1)}
       119:{1,5,7}:{(91,1),(93,1),(108,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(112,1),(147,1),(148,1)}
       121:{2,4,5}:{(94,1),(98,1),(150,1),(158,1)}
       122:{3,4,6}:{(94,1),(97,1),(150,1),(153,1),(211,1),(235,1)}
       123:{2,5,6,7}:{(95,1),(101,1),(152,1),(205,1),(233,1)}
       124:{2,4,6}:{(95,1),(96,1),(102,1),(153,1)}
       125:{3,5,7}:{(96,1),(97,1),(150,1),(153,1)}
       126:{2,3,4,7}:{(97,1),(104,1),(151,1),(154,1),(155,1),(171,1),(227,1),(243,1)}
       127:{1,4,5,6}:{(98,1),(102,1),(109,1),(149,1),(156,1),(157,1),(206,1),(228,1)}
       128:{1,3,5}:{(98,1),(99,1),(110,1),(150,1),(158,1)}
       129:{2,4,6}:{(99,1),(100,1),(104,1),(158,1),(159,1)}
       130:{1,3,6}:{(100,1),(105,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(113,1),(152,1),(156,1)}
       132:{1,3,4,6}:{(102,1),(103,1),(114,1),(153,1),(157,1),(162,1),(195,1),(202,1),(228,1),(242,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(154,1),(158,1),(162,1),(163,1),(196,1),(203,1),(205,1),(227,1),(229,1),(241,1)}
       134:{1,4,7}:{(104,1),(105,1),(159,1),(234,1)}
       135:{1,2,5,7}:{(105,1),(116,1),(160,1),(164,1),(203,1),(207,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(146,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(147,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(156,1),(168,1),(205,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(158,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(159,1),(166,1),(169,1),(170,1),(208,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,7}:{(117,1),(118,1),(137,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(138,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(120,1),(143,1),(173,1)}
       149:{2,4,5,6}:{(121,1),(124,1),(127,1),(175,1),(176,1),(184,1),(215,1)}
       150:{3,5}:{(121,1),(122,1)}
       151:{2,3,4,6}:{(122,1),(126,1),(129,1),(177,1),(178,1),(180,1),(193,1),(215,1),(226,1)}
       152:{2,4,6,7}:{(123,1),(124,1),(131,1),(175,1),(179,1)}
       153:{3,6}:{(124,1),(125,1)}
       154:{2,3,5,7}:{(125,1),(126,1),(133,1),(177,1),(180,1),(181,1),(238,1),(244,1)}
       155:{1,3,4,7}:{(126,1),(134,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(131,1),(139,1),(175,1),(183,1),(223,1),(236,1)}
       157:{1,3,5,6}:{(127,1),(128,1),(132,1),(140,1),(176,1),(183,1),(184,1)}
       158:{2,5}:{(128,1),(129,1),(185,1)}
       159:{1,4,6}:{(129,1),(130,1),(134,1),(185,1)}
       160:{1,2,6}:{(130,1),(135,1),(143,1),(222,1)}
       161:{1,3,4,6,7}:{(131,1),(132,1),(144,1),(179,1),(183,1),(187,1),(214,1),(221,1),(236,1),(244,1)}
       162:{2,4,6}:{(132,1),(133,1),(180,1),(184,1),(188,1),(222,1)}
       163:{1,4,5,7}:{(133,1),(134,1),(181,1),(185,1),(188,1),(216,1),(223,1),(236,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(145,1),(182,1),(186,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(172,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(173,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(185,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(189,1),(193,1),(213,1)}
       172:{1,4,7}:{(146,1),(147,1),(166,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(167,1),(194,1)}
       174:{3,4,5}:{(150,1),(195,1),(196,1),(235,1)}
       175:{2,4,5,7}:{(149,1),(152,1),(156,1),(197,1),(205,1),(227,1)}
       176:{3,5,6}:{(149,1),(150,1),(153,1),(195,1),(197,1)}
       177:{2,3,5}:{(150,1),(151,1),(158,1),(196,1),(199,1)}
       178:{1,3,4,6}:{(151,1),(155,1),(159,1),(199,1),(200,1),(202,1),(208,1),(228,1),(234,1),(242,1),(243,1)}
       179:{3,6,7}:{(152,1),(153,1),(197,1)}
       180:{2,3,6}:{(153,1),(154,1),(162,1),(202,1),(242,1)}
       181:{1,3,5,7}:{(154,1),(155,1),(163,1),(199,1),(202,1),(203,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(161,1),(168,1),(197,1),(205,1)}
       184:{2,5,6}:{(157,1),(158,1),(162,1),(205,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(164,1),(170,1),(200,1),(207,1),(208,1),(234,1)}
       187:{2,4,6,7}:{(161,1),(162,1),(201,1),(205,1),(209,1),(227,1),(233,1),(241,1)}
       188:{1,4,6}:{(162,1),(163,1),(202,1),(206,1)}
       189:{1,3,7}:{(164,1),(171,1),(204,1),(208,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(194,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(208,1),(211,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(191,1),(213,1)}
       195:{3,4,6}:{(174,1),(176,1),(214,1),(215,1)}
       196:{2,4,5}:{(174,1),(177,1),(215,1),(216,1),(226,1)}
       197:{3,5,7}:{(175,1),(176,1),(179,1),(214,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(184,1),(215,1),(217,1),(218,1)}
       199:{1,3,5}:{(177,1),(178,1),(185,1),(216,1),(219,1),(238,1)}
       200:{2,4,6}:{(178,1),(182,1),(219,1),(220,1),(222,1),(240,1)}
       201:{2,3,6,7}:{(179,1),(180,1),(187,1),(217,1),(221,1),(244,1)}
       202:{1,3,6}:{(180,1),(181,1),(188,1),(222,1)}
       203:{2,5,7}:{(181,1),(182,1),(219,1),(222,1)}
       204:{2,3,7}:{(182,1),(189,1),(220,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(187,1),(223,1)}
       206:{1,5,6}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,2,5}:{(185,1),(186,1),(192,1),(219,1),(224,1)}
       208:{1,3,6}:{(186,1),(189,1),(193,1),(220,1),(224,1)}
       209:{1,4,6,7}:{(187,1),(188,1),(221,1),(223,1),(236,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(213,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,7}:{(194,1),(211,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(227,1),(228,1)}
       216:{1,4,5}:{(196,1),(199,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(197,1),(198,1),(201,1),(205,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(199,1),(200,1)}
       220:{2,3,6}:{(200,1),(204,1),(208,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(201,1),(202,1),(209,1),(230,1),(233,1)}
       222:{2,6}:{(202,1),(203,1)}
       223:{1,5,7}:{(205,1),(206,1),(209,1)}
       224:{1,3,5}:{(207,1),(208,1),(212,1),(232,1),(234,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1020 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1021 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(19,1),(59,1),(71,1),(73,1),(124,1),(228,1),(246,1),(331,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(7,1),(26,1),(32,1),(41,1),(84,1),(192,1),(194,1),(301,1)}
         2:{1,3,5}:{(0,1),(7,1),(8,1),(9,1),(173,1),(301,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(34,1),(40,1),(47,1),(97,1),(197,1)}
         4:{1,2,4,5}:{(12,1),(13,1),(15,1),(50,1),(59,1),(69,1),(126,1),(128,1),(157,1),(246,1),(266,1)}
         5:{2,4,5}:{(1,1),(14,1),(15,1),(16,1),(19,1),(50,1),(59,1),(71,1),(126,1)}
         6:{1,3,4,6}:{(1,1),(16,1),(17,1),(18,1),(60,1),(145,1),(147,1),(253,1)}
         7:{1,3,4}:{(2,1),(19,1),(331,1),(346,1)}
         8:{2,3,5}:{(2,1),(19,1),(21,1),(22,1),(59,1),(71,1),(137,1)}
         9:{1,3,6}:{(2,1),(3,1),(22,1),(24,1),(253,1)}
        10:{1,2,5,6}:{(3,1),(23,1),(25,1),(63,1),(71,1),(143,1),(163,1),(228,1),(334,1),(368,1)}
        11:{1,2,4,7}:{(3,1),(24,1),(25,1),(64,1),(72,1),(80,1),(144,1),(254,1)}
        12:{1,3,5}:{(4,1),(26,1),(27,1),(28,1),(108,1),(301,1)}
        13:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(34,1),(83,1),(90,1),(97,1),(197,1)}
        14:{2,3,5}:{(5,1),(31,1),(32,1),(33,1),(301,1)}
        15:{1,4,5}:{(5,1),(32,1),(34,1),(39,1),(82,1),(110,1),(175,1)}
        16:{2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(36,1),(97,1)}
        17:{1,3,5,6}:{(6,1),(35,1),(37,1),(38,1),(41,1),(84,1),(104,1),(115,1),(180,1)}
        18:{1,3,4,7}:{(6,1),(36,1),(38,1),(99,1),(200,1),(202,1),(309,1)}
        19:{2,4}:{(7,1),(8,1),(39,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(40,1),(41,1),(42,1),(47,1),(115,1),(120,1)}
        21:{1,3,5}:{(8,1),(39,1),(43,1),(44,1),(108,1),(110,1)}
        22:{2,3,6}:{(8,1),(9,1),(40,1),(44,1),(46,1),(97,1)}
        23:{1,3,5,6}:{(9,1),(10,1),(41,1),(45,1),(47,1),(48,1),(115,1),(218,1),(281,1),(322,1),(327,1),(372,1),(396,1),(415,1)}
        24:{1,3,7}:{(9,1),(11,1),(46,1),(309,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(48,1),(49,1),(103,1),(113,1),(198,1),(397,1)}
        26:{1,3,4}:{(12,1),(50,1),(266,1),(346,1)}
        27:{2,3,5}:{(12,1),(50,1),(52,1),(53,1),(59,1),(126,1),(137,1)}
        28:{1,3,6}:{(12,1),(13,1),(53,1),(55,1),(253,1)}
        29:{1,2,5,6}:{(13,1),(54,1),(56,1),(63,1),(126,1),(143,1),(157,1),(234,1),(269,1),(404,1)}
        30:{1,2,4,7}:{(13,1),(55,1),(56,1),(64,1),(127,1),(135,1),(144,1),(254,1)}
        31:{2,3,4}:{(14,1),(19,1),(50,1),(57,1),(137,1),(346,1)}
        32:{1,3,5}:{(14,1),(15,1),(57,1),(59,1),(60,1)}
        33:{2,3,6}:{(14,1),(16,1),(60,1),(62,1),(253,1)}
        34:{1,4,6}:{(15,1),(16,1),(60,1),(63,1),(64,1)}
        35:{2,5,6}:{(16,1),(17,1),(63,1),(66,1),(71,1),(126,1),(163,1),(234,1)}
        36:{2,4,7}:{(16,1),(18,1),(62,1),(64,1),(66,1),(144,1)}
        37:{1,4,5,6}:{(17,1),(65,1),(67,1),(73,1),(128,1),(145,1),(164,1),(235,1),(261,1),(353,1)}
        38:{1,3,5,7}:{(17,1),(18,1),(66,1),(67,1),(68,1),(153,1)}
        39:{1,4}:{(19,1),(21,1)}
        40:{2,4,6}:{(19,1),(20,1),(22,1),(70,1),(71,1),(72,1),(163,1)}
        41:{1,3,5}:{(20,1),(71,1),(73,1),(161,1)}
        42:{1,3,4,7}:{(20,1),(24,1),(72,1),(74,1),(80,1),(170,1)}
        43:{1,2,5}:{(21,1),(59,1),(69,1),(75,1)}
        44:{1,3,6}:{(21,1),(22,1),(70,1),(75,1),(77,1)}
        45:{2,3,5,6}:{(22,1),(23,1),(71,1),(76,1),(78,1),(79,1),(143,1),(161,1),(163,1),(244,1),(253,1),(270,1),(273,1),(274,1),(275,1),(348,1),(366,1),(408,1),(410,1)}
        46:{2,3,7}:{(22,1),(24,1),(72,1),(77,1),(144,1)}
        47:{1,4,6}:{(23,1),(73,1),(78,1),(80,1),(331,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(25,1),(79,1),(80,1),(81,1),(172,1),(365,1),(369,1)}
        49:{1,2,6,7}:{(25,1),(81,1),(152,1),(163,1),(255,1),(334,1)}
        50:{2,4}:{(26,1),(27,1),(82,1)}
        51:{1,3,4,6}:{(26,1),(28,1),(83,1),(84,1),(85,1),(90,1),(180,1),(185,1)}
        52:{1,3,5}:{(27,1),(82,1),(86,1),(87,1),(173,1),(175,1)}
        53:{2,3,6}:{(27,1),(28,1),(83,1),(87,1),(89,1),(97,1)}
        54:{1,3,5,6}:{(28,1),(29,1),(84,1),(88,1),(90,1),(91,1),(180,1),(209,1),(290,1),(320,1),(374,1),(379,1),(394,1),(417,1)}
        55:{1,3,7}:{(28,1),(30,1),(89,1),(309,1)}
        56:{1,2,5,7}:{(29,1),(30,1),(91,1),(92,1),(103,1),(178,1),(198,1),(418,1)}
        57:{1,3,4}:{(31,1),(32,1),(39,1),(82,1),(93,1),(108,1),(173,1)}
        58:{2,3,4,6}:{(31,1),(33,1),(40,1),(83,1),(94,1),(95,1),(96,1),(100,1),(120,1),(185,1),(189,1),(196,1),(222,1),(294,1),(299,1),(308,1),(383,1),(385,1)}
        59:{2,5}:{(32,1),(93,1),(97,1)}
        60:{1,3,6}:{(32,1),(33,1),(34,1),(97,1),(99,1)}
        61:{2,3,5,6}:{(33,1),(35,1),(95,1),(98,1),(100,1),(101,1),(104,1),(196,1),(204,1),(307,1),(308,1)}
        62:{2,3,7}:{(33,1),(36,1),(99,1),(309,1)}
        63:{1,5,6}:{(34,1),(35,1),(103,1),(110,1),(175,1),(215,1),(287,1)}
        64:{1,4,7}:{(34,1),(36,1),(99,1),(103,1)}
        65:{2,4,5,6}:{(35,1),(37,1),(100,1),(102,1),(104,1),(105,1),(112,1),(177,1),(197,1),(204,1),(217,1),(289,1),(307,1),(388,1),(389,1),(421,1)}
        66:{2,5,7}:{(35,1),(36,1),(38,1),(103,1),(106,1)}
        67:{1,4,5,7}:{(37,1),(38,1),(105,1),(107,1),(200,1),(313,1),(315,1)}
        68:{1,3,6,7}:{(38,1),(106,1),(107,1),(115,1),(180,1),(207,1)}
        69:{1,2,4}:{(39,1),(43,1),(93,1),(108,1)}
        70:{1,4,6}:{(39,1),(40,1),(44,1),(110,1),(111,1),(215,1)}
        71:{2,5}:{(40,1),(41,1),(110,1)}
        72:{2,4,7}:{(40,1),(42,1),(46,1),(111,1),(113,1)}
        73:{1,4,5}:{(41,1),(47,1),(112,1),(322,1),(415,1)}
        74:{1,3,5,7}:{(41,1),(42,1),(113,1),(114,1),(115,1),(216,1)}
        75:{1,2,6}:{(43,1),(44,1),(97,1),(117,1)}
        76:{1,3,5,6}:{(44,1),(45,1),(110,1),(116,1),(118,1),(119,1),(209,1),(213,1),(215,1),(219,1),(320,1),(324,1),(325,1),(394,1)}
        77:{1,3,7}:{(44,1),(46,1),(111,1),(117,1)}
        78:{2,4,6}:{(45,1),(47,1),(112,1),(118,1),(120,1),(121,1),(299,1),(421,1)}
        79:{2,3,5,7}:{(45,1),(46,1),(48,1),(113,1),(119,1),(121,1),(122,1),(198,1),(216,1),(226,1),(309,1),(323,1),(328,1),(392,1)}
        80:{1,4,7}:{(47,1),(48,1),(121,1)}
        81:{1,3,6,7}:{(48,1),(49,1),(115,1),(122,1),(123,1),(372,1),(396,1)}
        82:{1,4}:{(50,1),(52,1)}
        83:{2,4,6}:{(50,1),(51,1),(53,1),(125,1),(126,1),(127,1),(234,1)}
        84:{1,3,5}:{(51,1),(126,1),(128,1),(232,1)}
        85:{1,3,4,7}:{(51,1),(55,1),(127,1),(129,1),(135,1),(241,1)}
        86:{1,2,5}:{(52,1),(59,1),(124,1),(130,1)}
        87:{1,3,6}:{(52,1),(53,1),(125,1),(130,1),(132,1)}
        88:{2,3,5,6}:{(53,1),(54,1),(126,1),(131,1),(133,1),(134,1),(143,1),(232,1),(234,1),(244,1),(253,1),(335,1),(338,1),(339,1),(340,1),(348,1),(402,1),(408,1),(410,1)}
        89:{2,3,7}:{(53,1),(55,1),(127,1),(132,1),(144,1)}
        90:{1,4,6}:{(54,1),(128,1),(133,1),(135,1),(266,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(56,1),(134,1),(135,1),(136,1),(243,1),(401,1),(405,1)}
        92:{1,2,6,7}:{(56,1),(136,1),(152,1),(234,1),(255,1),(269,1)}
        93:{2,4}:{(57,1),(59,1),(137,1)}
        94:{1,3,4,6}:{(57,1),(58,1),(60,1),(70,1),(125,1),(138,1),(139,1),(140,1),(145,1),(156,1),(227,1),(250,1),(253,1),(266,1),(277,1),(331,1),(342,1),(346,1),(355,1),(363,1),(399,1),(406,1),(407,1)}
        95:{2,3,5}:{(58,1),(71,1),(126,1),(139,1),(141,1),(161,1),(232,1),(270,1),(335,1),(408,1)}
        96:{2,3,4,7}:{(58,1),(62,1),(72,1),(127,1),(140,1),(142,1),(148,1),(170,1),(241,1),(245,1),(278,1),(343,1),(347,1),(356,1)}
        97:{2,6}:{(59,1),(60,1),(144,1)}
        98:{1,3,5,6}:{(60,1),(61,1),(63,1),(139,1),(143,1),(145,1),(146,1),(250,1),(253,1),(261,1),(353,1),(355,1),(410,1)}
        99:{1,3,7}:{(60,1),(62,1),(64,1),(144,1)}
       100:{2,4,6}:{(61,1),(141,1),(145,1),(147,1),(148,1)}
       101:{2,3,5,7}:{(61,1),(62,1),(66,1),(146,1),(148,1),(149,1),(153,1),(260,1),(262,1),(356,1)}
       102:{1,4,5,6}:{(63,1),(65,1),(145,1),(150,1),(151,1),(159,1),(230,1),(272,1),(337,1),(353,1)}
       103:{1,5,7}:{(63,1),(64,1),(66,1),(152,1)}
       104:{3,5,6}:{(65,1),(147,1),(153,1),(161,1),(232,1),(253,1),(273,1),(338,1)}
       105:{2,4,5,7}:{(65,1),(66,1),(67,1),(148,1),(151,1),(153,1),(154,1),(254,1),(260,1),(262,1),(358,1),(360,1),(412,1)}
       106:{2,6,7}:{(66,1),(68,1),(152,1),(163,1),(234,1)}
       107:{1,4,6,7}:{(67,1),(68,1),(154,1),(155,1),(164,1),(235,1),(361,1)}
       108:{1,3}:{(69,1),(137,1)}
       109:{1,2,4,6}:{(69,1),(70,1),(75,1),(138,1),(156,1),(157,1),(158,1),(266,1),(269,1),(342,1),(363,1),(404,1),(423,1)}
       110:{1,5}:{(70,1),(71,1)}
       111:{1,4,7}:{(70,1),(72,1),(77,1),(160,1)}
       112:{2,4,5}:{(71,1),(73,1),(78,1),(159,1),(161,1),(270,1),(408,1),(425,1)}
       113:{2,5,7}:{(71,1),(72,1),(74,1),(160,1),(163,1)}
       114:{1,4,5,7}:{(73,1),(74,1),(80,1),(162,1),(164,1),(172,1),(365,1)}
       115:{1,3,6}:{(74,1),(163,1),(164,1),(273,1)}
       116:{1,2,5,6}:{(75,1),(76,1),(143,1),(157,1),(165,1),(166,1),(261,1),(269,1),(270,1),(366,1)}
       117:{1,2,7}:{(75,1),(77,1),(144,1)}
       118:{1,4,6}:{(76,1),(78,1),(159,1),(168,1),(266,1)}
       119:{1,3,5,7}:{(76,1),(77,1),(79,1),(160,1),(166,1),(168,1),(169,1),(276,1),(279,1)}
       120:{3,4,6}:{(78,1),(161,1),(170,1),(253,1),(273,1),(346,1)}
       121:{2,4,7}:{(78,1),(79,1),(80,1),(168,1),(170,1),(412,1)}
       122:{2,3,6,7}:{(79,1),(81,1),(163,1),(169,1),(171,1),(255,1),(273,1),(348,1),(357,1),(366,1)}
       123:{1,4,6,7}:{(80,1),(81,1),(164,1),(171,1),(172,1),(399,1)}
       124:{1,2,4}:{(82,1),(86,1),(93,1),(173,1)}
       125:{1,4,6}:{(82,1),(83,1),(87,1),(175,1),(176,1),(287,1)}
       126:{2,5}:{(83,1),(84,1),(175,1)}
       127:{2,4,7}:{(83,1),(85,1),(89,1),(176,1),(178,1)}
       128:{1,4,5}:{(84,1),(90,1),(177,1),(374,1),(394,1)}
       129:{1,3,5,7}:{(84,1),(85,1),(178,1),(179,1),(180,1),(288,1)}
       130:{1,2,6}:{(86,1),(87,1),(97,1),(182,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(175,1),(181,1),(183,1),(184,1),(281,1),(285,1),(287,1),(291,1),(372,1),(376,1),(377,1),(415,1)}
       132:{1,3,7}:{(87,1),(89,1),(176,1),(182,1)}
       133:{2,4,6}:{(88,1),(90,1),(177,1),(183,1),(185,1),(186,1),(299,1),(421,1)}
       134:{2,3,5,7}:{(88,1),(89,1),(91,1),(178,1),(184,1),(186,1),(187,1),(198,1),(288,1),(298,1),(309,1),(375,1),(380,1),(392,1)}
       135:{1,4,7}:{(90,1),(91,1),(186,1)}
       136:{1,3,6,7}:{(91,1),(92,1),(180,1),(187,1),(188,1),(320,1),(417,1)}
       137:{2,3}:{(93,1),(108,1),(173,1)}
       138:{2,4,6}:{(93,1),(94,1),(97,1),(189,1),(190,1),(191,1),(299,1),(303,1),(390,1),(419,1)}
       139:{1,3,5}:{(94,1),(95,1),(110,1),(175,1),(190,1),(192,1),(301,1),(322,1),(374,1),(394,1),(415,1),(420,1)}
       140:{1,3,4,7}:{(94,1),(96,1),(99,1),(111,1),(176,1),(191,1),(193,1),(200,1),(210,1),(282,1),(309,1),(319,1),(329,1),(371,1),(381,1),(384,1),(391,1)}
       141:{2,4,5}:{(95,1),(100,1),(192,1),(194,1),(299,1)}
       142:{2,3,5,7}:{(95,1),(96,1),(113,1),(178,1),(193,1),(195,1),(196,1),(216,1),(288,1),(323,1),(375,1)}
       143:{2,5,6}:{(97,1),(98,1),(190,1),(197,1),(198,1),(303,1),(390,1)}
       144:{2,7}:{(97,1),(99,1)}
       145:{1,4,6}:{(98,1),(100,1),(192,1),(197,1),(200,1),(421,1)}
       146:{1,3,5,7}:{(98,1),(99,1),(101,1),(103,1),(198,1),(200,1),(201,1),(309,1),(313,1),(315,1),(391,1),(392,1)}
       147:{3,4,6}:{(100,1),(104,1),(194,1),(202,1),(421,1)}
       148:{2,4,7}:{(100,1),(101,1),(200,1),(202,1)}
       149:{2,3,6,7}:{(101,1),(106,1),(196,1),(201,1),(203,1),(207,1),(316,1)}
       150:{1,3,5,6}:{(102,1),(104,1),(199,1),(204,1),(205,1),(213,1),(285,1),(324,1),(376,1)}
       151:{1,4,5,7}:{(102,1),(103,1),(105,1),(200,1),(205,1),(206,1),(313,1)}
       152:{1,6,7}:{(103,1),(106,1),(215,1),(287,1)}
       153:{3,5,7}:{(104,1),(105,1),(202,1),(207,1),(309,1)}
       154:{2,4,6,7}:{(105,1),(106,1),(107,1),(206,1),(207,1),(208,1),(217,1),(289,1),(316,1),(317,1)}
       155:{1,5,6,7}:{(107,1),(208,1),(218,1),(290,1),(313,1)}
       156:{1,3,6}:{(108,1),(109,1),(189,1),(209,1),(210,1),(426,1)}
       157:{1,2,5}:{(109,1),(110,1),(190,1),(209,1),(374,1),(394,1)}
       158:{1,2,4,7}:{(109,1),(111,1),(117,1),(191,1),(210,1),(212,1),(319,1),(381,1),(418,1)}
       159:{1,4,5}:{(110,1),(112,1),(118,1),(213,1),(394,1)}
       160:{1,5,7}:{(110,1),(111,1),(113,1),(215,1)}
       161:{3,5}:{(112,1),(120,1)}
       162:{2,4,5,7}:{(112,1),(113,1),(114,1),(121,1),(214,1),(216,1),(217,1),(226,1),(323,1),(330,1)}
       163:{2,6}:{(113,1),(115,1),(215,1)}
       164:{1,4,6}:{(114,1),(115,1),(217,1),(218,1),(396,1)}
       165:{1,2,4,6}:{(116,1),(118,1),(197,1),(211,1),(219,1),(220,1),(222,1),(311,1),(390,1)}
       166:{1,2,5,7}:{(116,1),(117,1),(119,1),(198,1),(220,1),(221,1),(315,1),(323,1)}
       167:{1,3,4,6}:{(118,1),(120,1),(213,1),(219,1),(222,1),(223,1),(318,1),(324,1)}
       168:{1,4,7}:{(118,1),(119,1),(121,1)}
       169:{1,3,6,7}:{(119,1),(122,1),(215,1),(221,1),(224,1),(320,1),(324,1)}
       170:{3,4,7}:{(120,1),(121,1),(216,1),(309,1)}
       171:{2,4,6,7}:{(121,1),(122,1),(123,1),(217,1),(224,1),(225,1),(226,1),(385,1)}
       172:{1,5,7}:{(123,1),(218,1),(226,1),(415,1)}
       173:{1,3}:{(124,1),(137,1)}
       174:{1,2,4,6}:{(124,1),(125,1),(130,1),(138,1),(227,1),(228,1),(229,1),(277,1),(331,1),(334,1),(368,1),(399,1),(413,1)}
       175:{1,5}:{(125,1),(126,1)}
       176:{1,4,7}:{(125,1),(127,1),(132,1),(231,1)}
       177:{2,4,5}:{(126,1),(128,1),(133,1),(230,1),(232,1),(335,1),(408,1),(425,1)}
       178:{2,5,7}:{(126,1),(127,1),(129,1),(231,1),(234,1)}
       179:{1,4,5,7}:{(128,1),(129,1),(135,1),(233,1),(235,1),(243,1),(401,1)}
       180:{1,3,6}:{(129,1),(234,1),(235,1),(338,1)}
       181:{1,2,5,6}:{(130,1),(131,1),(143,1),(228,1),(236,1),(237,1),(261,1),(334,1),(335,1),(402,1)}
       182:{1,2,7}:{(130,1),(132,1),(144,1)}
       183:{1,4,6}:{(131,1),(133,1),(230,1),(239,1),(331,1)}
       184:{1,3,5,7}:{(131,1),(132,1),(134,1),(231,1),(237,1),(239,1),(240,1),(341,1),(344,1)}
       185:{3,4,6}:{(133,1),(232,1),(241,1),(253,1),(338,1),(346,1)}
       186:{2,4,7}:{(133,1),(134,1),(135,1),(239,1),(241,1),(412,1)}
       187:{2,3,6,7}:{(134,1),(136,1),(234,1),(240,1),(242,1),(255,1),(338,1),(348,1),(357,1),(402,1)}
       188:{1,4,6,7}:{(135,1),(136,1),(235,1),(242,1),(243,1),(363,1)}
       189:{2,3,6}:{(137,1),(138,1),(156,1),(227,1),(244,1),(245,1),(253,1),(424,1)}
       190:{2,5}:{(138,1),(139,1)}
       191:{2,4,7}:{(138,1),(140,1),(144,1),(245,1),(247,1),(411,1)}
       192:{1,4,5}:{(139,1),(141,1),(145,1),(246,1),(266,1),(331,1),(425,1)}
       193:{1,3,5,7}:{(139,1),(140,1),(142,1),(160,1),(231,1),(247,1),(249,1),(250,1),(350,1),(365,1),(401,1)}
       194:{3,4,5}:{(141,1),(147,1),(161,1),(232,1),(346,1),(425,1)}
       195:{2,4,5,7}:{(141,1),(142,1),(148,1),(249,1),(251,1),(252,1),(260,1),(347,1),(408,1)}
       196:{2,3,6}:{(142,1),(163,1),(234,1),(250,1),(252,1),(273,1),(338,1),(366,1),(402,1)}
       197:{2,4,6}:{(143,1),(145,1),(246,1),(253,1),(254,1)}
       198:{2,5,7}:{(143,1),(144,1),(146,1),(254,1),(255,1),(411,1)}
       199:{1,3,4,6}:{(145,1),(147,1),(150,1),(248,1),(253,1),(256,1),(257,1),(355,1)}
       200:{1,4,7}:{(145,1),(146,1),(148,1),(254,1),(412,1)}
       201:{1,3,6,7}:{(146,1),(149,1),(152,1),(250,1),(255,1),(258,1),(357,1),(361,1)}
       202:{3,4,7}:{(147,1),(148,1),(153,1),(412,1)}
       203:{2,4,6,7}:{(148,1),(149,1),(252,1),(258,1),(259,1),(260,1)}
       204:{2,5,6}:{(150,1),(256,1),(261,1),(262,1),(270,1),(335,1),(366,1),(402,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(257,1),(262,1),(263,1)}
       206:{1,4,6,7}:{(151,1),(152,1),(154,1),(263,1),(264,1),(272,1),(337,1)}
       207:{3,6,7}:{(153,1),(154,1),(273,1),(338,1)}
       208:{2,5,6,7}:{(154,1),(155,1),(260,1),(264,1),(265,1),(274,1),(339,1),(358,1)}
       209:{1,3,5}:{(156,1),(157,1),(244,1),(266,1)}
       210:{1,3,7}:{(156,1),(158,1),(245,1)}
       211:{1,2,4,5}:{(157,1),(159,1),(165,1),(246,1),(266,1),(268,1),(270,1),(352,1),(362,1),(409,1),(423,1)}
       212:{1,2,5,7}:{(157,1),(158,1),(160,1),(247,1),(267,1),(269,1),(401,1)}
       213:{1,3,5}:{(159,1),(161,1),(167,1),(270,1)}
       214:{1,4,5,7}:{(159,1),(160,1),(162,1),(168,1),(271,1),(272,1),(279,1)}
       215:{1,6}:{(160,1),(163,1)}
       216:{3,5,7}:{(161,1),(162,1),(170,1),(273,1)}
       217:{2,4,6}:{(162,1),(163,1),(164,1),(272,1),(273,1),(274,1),(366,1),(367,1)}
       218:{1,5,6}:{(164,1),(172,1),(274,1)}
       219:{1,3,6}:{(165,1),(253,1),(268,1),(275,1),(276,1)}
       220:{1,2,4,7}:{(165,1),(166,1),(168,1),(254,1),(276,1),(278,1),(359,1),(411,1)}
       221:{1,2,6,7}:{(166,1),(169,1),(255,1),(269,1),(361,1),(366,1)}
       222:{2,4,6}:{(167,1),(270,1),(275,1),(277,1),(278,1),(362,1),(366,1)}
       223:{1,3,4,7}:{(167,1),(168,1),(170,1),(271,1),(276,1),(278,1)}
       224:{1,4,6,7}:{(168,1),(169,1),(171,1),(272,1),(279,1),(363,1)}
       225:{3,4,6,7}:{(170,1),(171,1),(273,1),(280,1),(357,1),(367,1),(407,1),(412,1)}
       226:{2,5,7}:{(171,1),(172,1),(274,1),(279,1),(280,1),(408,1)}
       227:{1,3,6}:{(173,1),(174,1),(189,1),(281,1),(282,1),(422,1)}
       228:{1,2,5}:{(174,1),(175,1),(190,1),(281,1),(322,1),(415,1)}
       229:{1,2,4,7}:{(174,1),(176,1),(182,1),(191,1),(282,1),(284,1),(329,1),(371,1),(397,1)}
       230:{1,4,5}:{(175,1),(177,1),(183,1),(285,1),(415,1)}
       231:{1,5,7}:{(175,1),(176,1),(178,1),(287,1)}
       232:{3,5}:{(177,1),(185,1)}
       233:{2,4,5,7}:{(177,1),(178,1),(179,1),(186,1),(286,1),(288,1),(289,1),(298,1),(375,1),(382,1)}
       234:{2,6}:{(178,1),(180,1),(287,1)}
       235:{1,4,6}:{(179,1),(180,1),(289,1),(290,1),(417,1)}
       236:{1,2,4,6}:{(181,1),(183,1),(197,1),(283,1),(291,1),(292,1),(294,1),(311,1),(390,1)}
       237:{1,2,5,7}:{(181,1),(182,1),(184,1),(198,1),(292,1),(293,1),(315,1),(375,1)}
       238:{1,3,4,6}:{(183,1),(185,1),(285,1),(291,1),(294,1),(295,1),(370,1),(376,1)}
       239:{1,4,7}:{(183,1),(184,1),(186,1)}
       240:{1,3,6,7}:{(184,1),(187,1),(287,1),(293,1),(296,1),(372,1),(376,1)}
       241:{3,4,7}:{(185,1),(186,1),(288,1),(309,1)}
       242:{2,4,6,7}:{(186,1),(187,1),(188,1),(289,1),(296,1),(297,1),(298,1),(385,1)}
       243:{1,5,7}:{(188,1),(290,1),(298,1),(394,1)}
       244:{2,3,5}:{(189,1),(190,1),(209,1),(281,1),(299,1),(301,1)}
       245:{2,3,7}:{(189,1),(191,1),(210,1),(282,1),(309,1)}
       246:{2,4,5}:{(190,1),(192,1),(197,1),(299,1),(301,1)}
       247:{2,5,7}:{(190,1),(191,1),(193,1),(303,1)}
       248:{1,3,4,5}:{(192,1),(194,1),(199,1),(213,1),(285,1),(301,1),(304,1),(318,1),(370,1),(386,1)}
       249:{1,4,5,7}:{(192,1),(193,1),(195,1),(200,1),(302,1),(305,1),(313,1),(319,1),(371,1),(394,1),(415,1)}
       250:{1,3,6}:{(193,1),(196,1),(215,1),(287,1),(303,1),(305,1),(387,1),(396,1),(417,1)}
       251:{3,4,5,7}:{(194,1),(195,1),(202,1),(216,1),(288,1),(306,1),(314,1),(330,1),(382,1),(384,1),(420,1)}
       252:{2,4,6}:{(195,1),(196,1),(305,1),(306,1),(307,1)}
       253:{3,6}:{(197,1),(301,1),(309,1)}
       254:{2,4,7}:{(197,1),(198,1),(200,1),(309,1)}
       255:{2,6,7}:{(198,1),(201,1),(303,1)}
       256:{2,4,6}:{(199,1),(204,1),(304,1),(308,1),(311,1),(312,1),(390,1)}
       257:{1,3,4,7}:{(199,1),(200,1),(202,1),(205,1),(309,1),(312,1),(391,1)}
       258:{1,4,6,7}:{(200,1),(201,1),(203,1),(305,1),(310,1),(313,1)}
       259:{3,4,6,7}:{(202,1),(203,1),(207,1),(306,1),(314,1),(317,1)}
       260:{2,5,7}:{(203,1),(307,1),(313,1),(314,1)}
       261:{1,5,6}:{(204,1),(311,1),(315,1),(322,1),(374,1),(396,1),(417,1)}
       262:{2,5,7}:{(204,1),(205,1),(312,1),(315,1),(316,1)}
       263:{1,3,6,7}:{(205,1),(206,1),(207,1),(316,1),(324,1),(376,1)}
       264:{1,5,6,7}:{(206,1),(208,1),(313,1),(325,1),(377,1)}
       265:{3,5,6,7}:{(207,1),(208,1),(314,1),(317,1),(326,1),(378,1),(392,1)}
       266:{1,4}:{(209,1),(299,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(300,1),(319,1),(320,1),(394,1)}
       268:{1,3,5}:{(211,1),(219,1),(301,1),(318,1),(321,1),(426,1)}
       269:{1,2,6}:{(212,1),(215,1),(303,1),(320,1),(417,1)}
       270:{2,5}:{(213,1),(222,1),(322,1)}
       271:{1,3,5,7}:{(213,1),(214,1),(216,1),(223,1),(323,1),(324,1)}
       272:{1,4,6}:{(214,1),(215,1),(217,1),(324,1),(325,1)}
       273:{3,6}:{(216,1),(217,1)}
       274:{2,5,6}:{(217,1),(218,1),(226,1),(325,1),(326,1)}
       275:{2,3,6}:{(219,1),(222,1),(321,1),(327,1),(328,1),(390,1)}
       276:{1,3,7}:{(219,1),(220,1),(309,1),(328,1)}
       277:{1,4,6}:{(222,1),(322,1),(327,1),(329,1),(393,1),(396,1)}
       278:{2,4,7}:{(222,1),(223,1),(323,1),(328,1),(329,1)}
       279:{1,5,7}:{(224,1),(226,1),(325,1),(394,1)}
       280:{3,5,7}:{(225,1),(226,1),(326,1),(330,1),(420,1)}
       281:{1,3,5}:{(227,1),(228,1),(244,1),(331,1)}
       282:{1,3,7}:{(227,1),(229,1),(245,1)}
       283:{1,2,4,5}:{(228,1),(230,1),(236,1),(246,1),(331,1),(333,1),(335,1),(352,1),(398,1),(409,1),(413,1)}
       284:{1,2,5,7}:{(228,1),(229,1),(231,1),(247,1),(332,1),(334,1),(365,1)}
       285:{1,3,5}:{(230,1),(232,1),(238,1),(335,1)}
       286:{1,4,5,7}:{(230,1),(231,1),(233,1),(239,1),(336,1),(337,1),(344,1)}
       287:{1,6}:{(231,1),(234,1)}
       288:{3,5,7}:{(232,1),(233,1),(241,1),(338,1)}
       289:{2,4,6}:{(233,1),(234,1),(235,1),(337,1),(338,1),(339,1),(402,1),(403,1)}
       290:{1,5,6}:{(235,1),(243,1),(339,1)}
       291:{1,3,6}:{(236,1),(253,1),(333,1),(340,1),(341,1)}
       292:{1,2,4,7}:{(236,1),(237,1),(239,1),(254,1),(341,1),(343,1),(359,1),(411,1)}
       293:{1,2,6,7}:{(237,1),(240,1),(255,1),(334,1),(361,1),(402,1)}
       294:{2,4,6}:{(238,1),(335,1),(340,1),(342,1),(343,1),(398,1),(402,1)}
       295:{1,3,4,7}:{(238,1),(239,1),(241,1),(336,1),(341,1),(343,1)}
       296:{1,4,6,7}:{(239,1),(240,1),(242,1),(337,1),(344,1),(399,1)}
       297:{3,4,6,7}:{(241,1),(242,1),(338,1),(345,1),(357,1),(403,1),(407,1),(412,1)}
       298:{2,5,7}:{(242,1),(243,1),(339,1),(344,1),(345,1),(408,1)}
       299:{2,4}:{(244,1),(266,1),(331,1),(346,1)}
       300:{2,3,5,7}:{(244,1),(245,1),(247,1),(267,1),(332,1),(347,1),(348,1),(350,1),(408,1)}
       301:{3,5}:{(246,1),(253,1),(346,1)}
       302:{2,4,5,7}:{(246,1),(247,1),(249,1),(254,1),(347,1),(350,1),(351,1),(358,1),(408,1),(412,1),(425,1)}
       303:{2,6}:{(247,1),(250,1)}
       304:{2,4,5}:{(248,1),(256,1),(270,1),(335,1),(349,1),(352,1),(362,1),(398,1),(409,1)}
       305:{1,4,6}:{(249,1),(250,1),(252,1),(351,1),(353,1)}
       306:{3,4,6}:{(251,1),(252,1),(273,1),(338,1),(354,1),(367,1),(403,1)}
       307:{2,5,6}:{(252,1),(260,1),(353,1),(354,1),(408,1)}
       308:{2,3,6}:{(253,1),(256,1),(349,1),(355,1),(356,1)}
       309:{3,7}:{(253,1),(254,1)}
       310:{2,4,6,7}:{(254,1),(255,1),(258,1),(351,1),(357,1),(358,1),(412,1)}
       311:{1,4,6}:{(256,1),(261,1),(352,1),(355,1),(359,1)}
       312:{2,4,7}:{(256,1),(257,1),(262,1),(356,1),(359,1),(411,1)}
       313:{1,5,7}:{(258,1),(260,1),(353,1),(358,1)}
       314:{3,5,7}:{(259,1),(260,1),(354,1),(360,1)}
       315:{1,5,7}:{(261,1),(262,1),(359,1),(361,1)}
       316:{2,6,7}:{(262,1),(263,1),(361,1),(366,1),(402,1)}
       317:{4,6,7}:{(265,1),(360,1),(367,1),(403,1),(412,1)}
       318:{1,3,4}:{(266,1),(268,1),(346,1),(362,1)}
       319:{1,4,7}:{(266,1),(267,1),(347,1),(363,1)}
       320:{1,3,6}:{(267,1),(269,1),(348,1),(363,1)}
       321:{2,3,5}:{(268,1),(270,1),(275,1),(362,1),(364,1),(409,1),(424,1)}
       322:{1,5}:{(270,1),(277,1)}
       323:{2,5,7}:{(270,1),(271,1),(278,1),(365,1),(366,1)}
       324:{1,3,6}:{(271,1),(272,1),(273,1),(366,1)}
       325:{1,5,6}:{(272,1),(274,1),(279,1)}
       326:{3,5,6}:{(273,1),(274,1),(280,1),(367,1)}
       327:{1,3,6}:{(275,1),(277,1),(364,1),(368,1),(369,1)}
       328:{2,3,7}:{(275,1),(276,1),(278,1),(369,1),(411,1)}
       329:{1,4,7}:{(277,1),(278,1),(365,1),(369,1)}
       330:{4,5,7}:{(280,1),(367,1),(412,1),(425,1)}
       331:{1,4}:{(281,1),(299,1)}
       332:{1,3,5,7}:{(281,1),(282,1),(284,1),(300,1),(371,1),(372,1),(415,1)}
       333:{1,3,5}:{(283,1),(291,1),(301,1),(370,1),(373,1),(422,1)}
       334:{1,2,6}:{(284,1),(287,1),(303,1),(372,1),(396,1)}
       335:{2,5}:{(285,1),(294,1),(374,1)}
       336:{1,3,5,7}:{(285,1),(286,1),(288,1),(295,1),(375,1),(376,1)}
       337:{1,4,6}:{(286,1),(287,1),(289,1),(376,1),(377,1)}
       338:{3,6}:{(288,1),(289,1)}
       339:{2,5,6}:{(289,1),(290,1),(298,1),(377,1),(378,1)}
       340:{2,3,6}:{(291,1),(294,1),(373,1),(379,1),(380,1),(390,1)}
       341:{1,3,7}:{(291,1),(292,1),(309,1),(380,1)}
       342:{1,4,6}:{(294,1),(374,1),(379,1),(381,1),(414,1),(417,1)}
       343:{2,4,7}:{(294,1),(295,1),(375,1),(380,1),(381,1)}
       344:{1,5,7}:{(296,1),(298,1),(377,1),(415,1)}
       345:{3,5,7}:{(297,1),(298,1),(378,1),(382,1),(420,1)}
       346:{3,4}:{(299,1),(301,1)}
       347:{2,4,7}:{(299,1),(300,1),(319,1),(371,1),(384,1),(385,1)}
       348:{2,3,6}:{(300,1),(303,1),(320,1),(372,1),(385,1),(387,1)}
       349:{2,3,5}:{(301,1),(304,1),(308,1),(383,1),(386,1)}
       350:{3,5,7}:{(301,1),(302,1),(309,1),(384,1),(387,1),(420,1)}
       351:{2,4,6}:{(302,1),(303,1),(305,1),(387,1),(388,1),(421,1)}
       352:{1,4,5}:{(304,1),(311,1),(322,1),(374,1),(386,1),(393,1),(414,1)}
       353:{1,5,6}:{(305,1),(307,1),(313,1),(388,1),(394,1),(415,1)}
       354:{3,5,6}:{(306,1),(307,1),(314,1),(389,1),(420,1)}
       355:{1,3,6}:{(308,1),(311,1),(386,1),(390,1),(391,1)}
       356:{2,3,7}:{(308,1),(309,1),(312,1),(391,1)}
       357:{3,6,7}:{(309,1),(310,1),(387,1),(392,1)}
       358:{2,5,7}:{(310,1),(313,1),(388,1),(392,1)}
       359:{1,4,7}:{(311,1),(312,1),(315,1),(391,1)}
       360:{4,5,7}:{(314,1),(317,1),(389,1)}
       361:{1,6,7}:{(315,1),(316,1),(396,1),(417,1)}
       362:{2,4}:{(318,1),(321,1),(393,1)}
       363:{1,4,6}:{(319,1),(320,1),(385,1),(394,1)}
       364:{1,3,5}:{(321,1),(322,1),(327,1),(393,1),(395,1),(422,1)}
       365:{1,5,7}:{(322,1),(323,1),(329,1),(396,1)}
       366:{2,6}:{(323,1),(324,1),(396,1)}
       367:{4,6}:{(326,1),(330,1)}
       368:{1,2,6}:{(327,1),(390,1),(395,1),(397,1)}
       369:{1,3,7}:{(327,1),(328,1),(329,1),(397,1)}
       370:{1,3,4}:{(331,1),(333,1),(346,1),(398,1)}
       371:{1,4,7}:{(331,1),(332,1),(347,1),(399,1)}
       372:{1,3,6}:{(332,1),(334,1),(348,1),(399,1)}
       373:{2,3,5}:{(333,1),(335,1),(340,1),(398,1),(400,1),(409,1),(424,1)}
       374:{1,5}:{(335,1),(342,1)}
       375:{2,5,7}:{(335,1),(336,1),(343,1),(401,1),(402,1)}
       376:{1,3,6}:{(336,1),(337,1),(338,1),(402,1)}
       377:{1,5,6}:{(337,1),(339,1),(344,1)}
       378:{3,5,6}:{(338,1),(339,1),(345,1),(403,1)}
       379:{1,3,6}:{(340,1),(342,1),(400,1),(404,1),(405,1)}
       380:{2,3,7}:{(340,1),(341,1),(343,1),(405,1),(411,1)}
       381:{1,4,7}:{(342,1),(343,1),(401,1),(405,1)}
       382:{4,5,7}:{(345,1),(403,1),(412,1),(425,1)}
       383:{2,3,4}:{(346,1),(349,1),(362,1),(398,1),(406,1),(424,1)}
       384:{3,4,7}:{(346,1),(347,1),(350,1),(407,1),(412,1)}
       385:{2,4,6}:{(347,1),(348,1),(363,1),(399,1),(407,1),(408,1)}
       386:{1,3,5}:{(349,1),(352,1),(355,1),(406,1),(409,1)}
       387:{3,6}:{(350,1),(351,1)}
       388:{2,5,6}:{(351,1),(353,1),(358,1),(408,1),(410,1)}
       389:{4,5,6}:{(354,1),(360,1),(367,1),(403,1),(425,1)}
       390:{2,6}:{(355,1),(409,1),(411,1)}
       391:{1,3,7}:{(355,1),(356,1),(359,1),(411,1)}
       392:{3,5,7}:{(357,1),(358,1),(410,1),(412,1)}
       393:{1,4}:{(362,1),(364,1)}
       394:{1,5}:{(363,1),(408,1)}
       395:{1,2,5}:{(364,1),(368,1),(409,1),(413,1)}
       396:{1,6}:{(365,1),(366,1)}
       397:{1,2,7}:{(368,1),(369,1),(411,1)}
       398:{2,4}:{(370,1),(373,1),(414,1)}
       399:{1,4,6}:{(371,1),(372,1),(385,1),(415,1)}
       400:{1,3,5}:{(373,1),(374,1),(379,1),(414,1),(416,1),(426,1)}
       401:{1,5,7}:{(374,1),(375,1),(381,1),(417,1)}
       402:{2,6}:{(375,1),(376,1),(417,1)}
       403:{4,6}:{(378,1),(382,1)}
       404:{1,2,6}:{(379,1),(390,1),(416,1),(418,1)}
       405:{1,3,7}:{(379,1),(380,1),(381,1),(418,1)}
       406:{1,3,4}:{(383,1),(386,1),(393,1),(414,1),(419,1),(422,1),(426,1)}
       407:{3,4,6}:{(384,1),(385,1),(387,1),(420,1),(421,1)}
       408:{2,5}:{(385,1),(394,1),(415,1),(420,1)}
       409:{2,5}:{(386,1),(390,1),(419,1)}
       410:{3,5,6}:{(387,1),(388,1),(392,1),(420,1),(421,1)}
       411:{2,7}:{(390,1),(391,1)}
       412:{4,7}:{(392,1),(421,1)}
       413:{1,2,4}:{(393,1),(395,1),(419,1),(422,1)}
       414:{1,4}:{(398,1),(400,1)}
       415:{1,5}:{(399,1),(408,1)}
       416:{1,2,5}:{(400,1),(404,1),(409,1),(423,1)}
       417:{1,6}:{(401,1),(402,1)}
       418:{1,2,7}:{(404,1),(405,1),(411,1)}
       419:{2,4}:{(406,1),(409,1),(424,1)}
       420:{3,5}:{(407,1),(408,1),(425,1)}
       421:{4,6}:{(410,1),(412,1),(425,1)}
       422:{1,3}:{(413,1),(424,1)}
       423:{1,2,4}:{(414,1),(416,1),(419,1),(426,1)}
       424:{2,3}:{(419,1),(422,1),(426,1)}
       425:{4,5}:{(420,1),(421,1)}
       426:{1,3}:{(423,1),(424,1)}

1022 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(13,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(25,1),(29,1),(54,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(54,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(13,1),(15,1),(31,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(12,1),(16,1),(17,1),(69,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(39,1),(114,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(47,1),(54,1),(58,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(19,1),(21,1),(22,1),(28,1)}
        13:{1,3,6}:{(6,1),(7,1),(22,1)}
        14:{1,2,4,6,7}:{(7,1),(23,1),(25,1),(45,1),(54,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(24,1),(25,1),(46,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(21,1),(26,1),(27,1),(82,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(22,1),(27,1),(28,1),(53,1),(105,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(43,1),(61,1),(69,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(31,1),(33,1),(39,1),(70,1)}
        21:{1,3,5,7}:{(12,1),(16,1),(30,1),(34,1),(35,1),(42,1)}
        22:{2,3,6}:{(12,1),(13,1),(31,1),(35,1)}
        23:{1,3,6,7}:{(13,1),(14,1),(36,1),(38,1),(123,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(18,1),(37,1),(38,1),(39,1),(112,1),(114,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(38,1),(61,1),(124,1)}
        26:{1,2,4,7}:{(16,1),(34,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(35,1),(41,1),(42,1),(68,1),(94,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(44,1),(57,1),(74,1),(82,1)}
        31:{2,4,6}:{(19,1),(20,1),(22,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(45,1),(47,1),(54,1),(79,1),(84,1),(103,1)}
        33:{1,3,5,6}:{(20,1),(46,1),(47,1),(48,1),(78,1)}
        34:{1,2,5,7}:{(21,1),(26,1),(49,1),(56,1)}
        35:{1,3,6}:{(21,1),(22,1),(44,1),(49,1)}
        36:{2,3,6,7}:{(22,1),(23,1),(45,1),(50,1),(52,1),(103,1),(118,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(28,1),(46,1),(51,1),(52,1),(53,1),(78,1),(102,1),(105,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(52,1),(54,1),(119,1),(120,1)}
        39:{1,4,6}:{(24,1),(29,1),(53,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(49,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
        44:{1,4,6}:{(30,1),(31,1),(35,1),(60,1)}
        45:{2,4,6,7}:{(31,1),(32,1),(36,1),(59,1),(61,1),(69,1)}
        46:{2,5,6}:{(31,1),(33,1),(60,1),(61,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(61,1),(64,1),(92,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,2,6}:{(34,1),(35,1)}
        50:{1,3,6,7}:{(35,1),(36,1),(59,1),(65,1),(67,1)}
        51:{1,3,5,6}:{(35,1),(37,1),(42,1),(60,1),(66,1),(67,1),(68,1),(94,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(38,1),(61,1),(67,1),(69,1),(92,1),(111,1),(113,1)}
        53:{2,4,6}:{(37,1),(39,1),(43,1),(68,1),(69,1),(70,1)}
        54:{1,4,7}:{(38,1),(39,1),(69,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(94,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(68,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(50,1),(74,1),(82,1)}
        60:{1,5,6}:{(44,1),(46,1),(74,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(74,1)}
        62:{2,4,5,6}:{(46,1),(48,1),(53,1),(75,1),(77,1),(78,1),(102,1)}
        63:{1,3,5,6,7}:{(47,1),(76,1),(79,1),(103,1)}
        64:{1,4,5,7}:{(47,1),(48,1),(54,1),(77,1),(79,1),(119,1)}
        65:{1,2,6,7}:{(49,1),(50,1),(80,1),(118,1)}
        66:{1,2,5,6}:{(49,1),(51,1),(56,1),(80,1),(81,1),(102,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(74,1),(80,1),(82,1),(104,1)}
        68:{1,4,6}:{(51,1),(53,1),(57,1),(82,1)}
        69:{2,4,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        70:{3,4,6}:{(53,1),(58,1),(78,1),(84,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(81,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(83,1),(86,1),(87,1)}
        74:{1,5,7}:{(59,1),(60,1),(61,1)}
        75:{1,4,5,6}:{(60,1),(62,1),(68,1),(89,1),(90,1)}
        76:{2,5,6,7}:{(61,1),(63,1),(88,1),(91,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(69,1),(89,1),(91,1),(92,1),(111,1)}
        78:{3,5,6}:{(62,1),(70,1),(92,1)}
        79:{1,4,6,7}:{(63,1),(64,1),(91,1),(123,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(67,1),(93,1),(111,1)}
        81:{1,2,4,6}:{(66,1),(68,1),(72,1),(93,1),(94,1),(96,1)}
        82:{1,4,7}:{(67,1),(68,1),(69,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(73,1),(90,1),(94,1),(95,1),(96,1)}
        84:{3,4,7}:{(69,1),(70,1),(92,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(94,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{1,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(100,1),(101,1)}
        90:{1,3,5,6}:{(75,1),(78,1),(83,1),(101,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(79,1),(100,1),(103,1),(118,1)}
        92:{3,5,7}:{(77,1),(78,1),(84,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(82,1),(104,1),(106,1)}
        94:{1,3,6}:{(81,1),(86,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(82,1),(83,1),(84,1),(101,1),(104,1),(106,1)}
        96:{2,4,6}:{(83,1),(87,1),(102,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(105,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(91,1),(110,1)}
       101:{1,3,5,7}:{(89,1),(90,1),(92,1),(95,1),(110,1),(111,1)}
       102:{2,5,6}:{(90,1),(96,1),(111,1),(112,1)}
       103:{3,6,7}:{(91,1),(92,1)}
       104:{1,3,7}:{(93,1),(94,1),(113,1)}
       105:{2,3,6}:{(94,1),(96,1),(98,1),(113,1),(114,1)}
       106:{2,4,7}:{(95,1),(96,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(114,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(103,1),(118,1)}
       111:{2,5,7}:{(101,1),(102,1),(106,1),(118,1),(119,1)}
       112:{1,5,6}:{(102,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,3,6}:{(105,1),(107,1),(109,1),(120,1),(121,1)}
       115:{1,4,7}:{(106,1),(107,1),(119,1),(120,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(115,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(114,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1023 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(24,1),(26,1),(64,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(19,1),(24,1),(32,1),(53,1),(61,1),(64,1),(101,1)}
         2:{1,3,6}:{(0,1),(9,1),(10,1),(11,1),(108,1)}
         3:{1,2,5}:{(0,1),(10,1),(14,1),(84,1),(143,1)}
         4:{1,2,4,7}:{(0,1),(11,1),(12,1),(15,1),(43,1),(177,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(41,1),(49,1)}
         6:{1,3,5}:{(1,1),(14,1),(16,1),(47,1),(84,1),(120,1)}
         7:{1,3,4,7}:{(1,1),(11,1),(15,1),(17,1),(36,1),(43,1),(74,1),(82,1),(178,1)}
         8:{1,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(32,1),(53,1),(70,1),(107,1)}
         9:{2,3,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(53,1),(90,1)}
        10:{1,3,5}:{(2,1),(3,1),(22,1),(24,1),(103,1),(129,1)}
        11:{1,3,7}:{(2,1),(4,1),(23,1),(125,1),(182,1)}
        12:{1,2,5,7}:{(3,1),(4,1),(25,1),(26,1),(30,1),(154,1),(171,1)}
        13:{1,4,6}:{(5,1),(21,1),(27,1),(28,1),(59,1),(67,1)}
        14:{2,5}:{(5,1),(6,1),(27,1)}
        15:{2,4,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(183,1)}
        16:{1,4,5}:{(6,1),(19,1),(24,1),(29,1),(103,1),(136,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(68,1),(170,1),(174,1)}
        18:{2,5,6}:{(8,1),(14,1),(33,1),(34,1),(35,1),(49,1)}
        19:{1,4,6}:{(8,1),(16,1),(34,1),(36,1),(108,1),(124,1)}
        20:{1,3,5,7}:{(8,1),(35,1),(36,1),(37,1),(74,1),(76,1),(112,1)}
        21:{1,3,6}:{(9,1),(13,1),(38,1),(39,1),(40,1)}
        22:{2,3,5}:{(9,1),(10,1),(14,1),(39,1),(41,1),(47,1),(85,1),(113,1)}
        23:{2,3,7}:{(9,1),(11,1),(15,1),(40,1),(74,1),(109,1),(185,1)}
        24:{1,4}:{(10,1),(41,1)}
        25:{1,3,5,7}:{(10,1),(11,1),(12,1),(42,1),(43,1),(44,1),(84,1),(121,1),(144,1),(165,1)}
        26:{1,2,6}:{(12,1),(44,1),(49,1)}
        27:{1,5}:{(13,1),(14,1)}
        28:{1,4,7}:{(13,1),(15,1),(40,1),(46,1),(186,1)}
        29:{2,4,5}:{(14,1),(16,1),(34,1),(41,1),(45,1),(47,1),(85,1)}
        30:{2,5,7}:{(14,1),(15,1),(17,1),(46,1),(49,1),(176,1),(179,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(36,1),(43,1),(48,1),(50,1),(76,1),(84,1),(121,1),(162,1),(167,1)}
        32:{1,3,6}:{(17,1),(49,1),(50,1),(88,1)}
        33:{1,5,6}:{(18,1),(27,1),(51,1),(52,1),(67,1)}
        34:{2,4,6}:{(18,1),(19,1),(29,1),(51,1),(53,1),(54,1),(90,1)}
        35:{2,5,7}:{(18,1),(20,1),(52,1),(54,1),(55,1)}
        36:{1,4,7}:{(19,1),(20,1),(54,1),(125,1),(128,1)}
        37:{1,3,6,7}:{(20,1),(32,1),(55,1),(56,1),(93,1),(170,1)}
        38:{1,2,6}:{(21,1),(57,1),(58,1),(90,1)}
        39:{1,3,5}:{(21,1),(22,1),(27,1),(57,1),(59,1),(95,1)}
        40:{1,3,7}:{(21,1),(23,1),(28,1),(58,1),(187,1)}
        41:{2,4}:{(22,1),(24,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(22,1),(23,1),(25,1),(30,1),(60,1),(62,1),(63,1),(68,1),(102,1),(104,1),(130,1),(156,1)}
        43:{1,4,7}:{(24,1),(25,1),(62,1),(64,1),(172,1)}
        44:{1,3,6}:{(25,1),(26,1),(63,1),(64,1),(137,1)}
        45:{1,4,5}:{(27,1),(29,1),(51,1),(59,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(30,1),(67,1),(181,1),(184,1)}
        47:{3,5}:{(29,1),(53,1),(61,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(31,1),(54,1),(62,1),(66,1),(68,1),(69,1),(94,1),(102,1),(104,1),(128,1),(136,1),(153,1),(159,1)}
        49:{2,6}:{(30,1),(32,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(70,1),(137,1)}
        51:{1,4,6}:{(33,1),(34,1),(45,1),(71,1),(72,1)}
        52:{1,5,7}:{(33,1),(35,1),(72,1),(73,1)}
        53:{3,6}:{(34,1),(47,1),(74,1)}
        54:{2,4,7}:{(34,1),(35,1),(36,1),(72,1),(74,1),(109,1)}
        55:{2,6,7}:{(35,1),(37,1),(49,1),(73,1),(176,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(50,1),(75,1),(76,1),(140,1),(162,1)}
        57:{1,2,5}:{(38,1),(39,1),(77,1),(85,1)}
        58:{1,2,7}:{(38,1),(40,1),(109,1),(188,1)}
        59:{1,4}:{(39,1),(41,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(46,1),(78,1),(80,1),(81,1),(114,1),(119,1),(146,1)}
        61:{3,4}:{(41,1),(47,1)}
        62:{2,4,7}:{(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(166,1)}
        63:{2,3,6}:{(42,1),(44,1),(49,1),(81,1),(83,1),(88,1),(122,1)}
        64:{1,4,6}:{(43,1),(44,1),(83,1),(84,1)}
        65:{1,3,5}:{(45,1),(47,1),(71,1),(79,1),(85,1)}
        66:{1,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(80,1),(86,1),(87,1),(111,1),(119,1),(142,1),(149,1)}
        67:{1,6}:{(46,1),(49,1)}
        68:{3,5,7}:{(47,1),(48,1),(74,1),(82,1),(88,1),(120,1),(163,1),(168,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(87,1),(88,1),(89,1),(122,1),(124,1)}
        70:{1,5,6}:{(50,1),(76,1),(84,1),(89,1)}
        71:{1,3,6}:{(51,1),(53,1),(65,1),(90,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(54,1),(91,1)}
        73:{1,6,7}:{(52,1),(55,1),(67,1),(181,1)}
        74:{3,7}:{(53,1),(54,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(56,1),(69,1),(92,1),(93,1),(94,1),(126,1),(128,1),(153,1)}
        76:{1,5,7}:{(56,1),(70,1),(94,1)}
        77:{1,2,4}:{(57,1),(59,1),(95,1),(98,1)}
        78:{1,2,5,7}:{(57,1),(58,1),(60,1),(96,1),(97,1),(104,1),(132,1)}
        79:{1,3,4}:{(59,1),(61,1),(65,1),(95,1),(98,1)}
        80:{1,4,7}:{(59,1),(60,1),(62,1),(100,1),(157,1)}
        81:{1,3,6}:{(60,1),(63,1),(67,1),(97,1),(100,1)}
        82:{3,4,7}:{(61,1),(62,1),(68,1),(101,1),(128,1),(173,1)}
        83:{2,4,6}:{(62,1),(63,1),(64,1),(100,1),(101,1),(102,1)}
        84:{1,5}:{(64,1),(102,1)}
        85:{2,5}:{(65,1),(90,1),(98,1),(103,1)}
        86:{1,3,5,7}:{(65,1),(66,1),(68,1),(91,1),(99,1),(104,1),(105,1),(135,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1),(105,1),(106,1)}
        88:{3,6}:{(68,1),(69,1)}
        89:{2,5,6}:{(69,1),(70,1),(94,1),(102,1),(106,1),(107,1)}
        90:{2,6}:{(71,1),(85,1),(108,1),(109,1)}
        91:{1,3,7}:{(71,1),(72,1),(74,1),(109,1)}
        92:{1,4,6,7}:{(72,1),(73,1),(75,1),(87,1),(110,1),(111,1),(142,1)}
        93:{3,6,7}:{(74,1),(75,1),(88,1),(112,1),(163,1)}
        94:{2,5,7}:{(75,1),(76,1),(89,1),(111,1),(112,1)}
        95:{1,3}:{(77,1),(113,1)}
        96:{1,2,4,7}:{(77,1),(78,1),(80,1),(114,1),(115,1),(117,1)}
        97:{1,2,6}:{(78,1),(81,1),(122,1)}
        98:{2,4}:{(79,1),(85,1),(113,1),(116,1)}
        99:{1,3,4,7}:{(79,1),(80,1),(82,1),(86,1),(114,1),(117,1),(118,1),(142,1),(163,1)}
       100:{1,4,6}:{(80,1),(81,1),(83,1),(119,1)}
       101:{3,4,6}:{(82,1),(83,1),(88,1),(120,1),(124,1)}
       102:{2,5}:{(83,1),(84,1),(119,1),(120,1)}
       103:{1,5}:{(85,1),(108,1),(116,1)}
       104:{2,5,7}:{(85,1),(86,1),(109,1),(117,1),(121,1),(122,1),(148,1)}
       105:{1,3,6}:{(86,1),(87,1),(88,1),(122,1)}
       106:{1,5,6}:{(87,1),(89,1),(111,1),(119,1)}
       107:{3,5,6}:{(88,1),(89,1),(112,1),(120,1),(124,1)}
       108:{1,6}:{(90,1),(103,1),(125,1)}
       109:{2,7}:{(90,1),(91,1),(125,1)}
       110:{1,3,6,7}:{(91,1),(92,1),(93,1),(105,1),(126,1),(127,1)}
       111:{1,5,7}:{(92,1),(94,1),(106,1)}
       112:{3,5,7}:{(93,1),(94,1),(107,1),(128,1)}
       113:{2,3}:{(95,1),(98,1),(129,1)}
       114:{1,3,7}:{(95,1),(96,1),(130,1),(131,1),(181,1)}
       115:{1,2,4,6}:{(96,1),(97,1),(100,1),(131,1),(132,1),(134,1),(157,1)}
       116:{1,4}:{(98,1),(103,1),(129,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(133,1),(134,1)}
       118:{1,3,4,6}:{(99,1),(100,1),(101,1),(105,1),(131,1),(134,1),(135,1),(139,1),(157,1),(161,1),(173,1)}
       119:{1,5}:{(100,1),(102,1)}
       120:{3,5}:{(101,1),(102,1),(136,1)}
       121:{1,5,7}:{(103,1),(104,1),(125,1),(133,1),(137,1),(158,1)}
       122:{2,6}:{(104,1),(105,1),(137,1)}
       123:{1,3,5,6}:{(105,1),(106,1),(107,1),(127,1),(135,1),(138,1),(139,1),(161,1)}
       124:{4,6}:{(107,1),(128,1),(136,1)}
       125:{1,7}:{(108,1),(109,1)}
       126:{2,6,7}:{(109,1),(110,1),(122,1),(140,1),(141,1)}
       127:{1,3,5,7}:{(110,1),(111,1),(112,1),(123,1),(141,1),(142,1),(163,1)}
       128:{4,7}:{(112,1),(124,1)}
       129:{1,3}:{(113,1),(116,1),(143,1)}
       130:{2,3,7}:{(113,1),(114,1),(117,1),(144,1),(145,1),(163,1),(176,1)}
       131:{1,3,6}:{(114,1),(115,1),(145,1),(146,1),(180,1)}
       132:{1,2,5}:{(115,1),(119,1),(146,1),(148,1),(188,1)}
       133:{1,4,7}:{(116,1),(117,1),(121,1),(144,1),(147,1)}
       134:{2,4,6}:{(117,1),(118,1),(122,1),(145,1),(147,1),(148,1),(166,1)}
       135:{1,3,5}:{(118,1),(119,1),(120,1),(148,1),(149,1),(168,1)}
       136:{4,5}:{(120,1),(124,1)}
       137:{1,6}:{(121,1),(122,1)}
       138:{2,5,6}:{(122,1),(123,1),(141,1),(148,1),(150,1),(151,1)}
       139:{1,4,6}:{(123,1),(124,1),(142,1),(149,1),(151,1),(180,1)}
       140:{1,6,7}:{(125,1),(126,1),(137,1),(152,1)}
       141:{2,5,7}:{(126,1),(127,1),(138,1),(152,1),(153,1)}
       142:{1,4,7}:{(127,1),(128,1),(139,1),(153,1),(181,1)}
       143:{1,2}:{(129,1)}
       144:{1,3,7}:{(129,1),(130,1),(133,1),(154,1),(155,1)}
       145:{2,3,6}:{(130,1),(131,1),(134,1),(155,1),(156,1),(161,1),(175,1)}
       146:{1,3,5}:{(131,1),(132,1),(156,1),(157,1),(184,1),(187,1)}
       147:{1,4,6}:{(133,1),(134,1),(137,1),(155,1),(158,1),(172,1)}
       148:{2,5}:{(134,1),(135,1),(158,1)}
       149:{1,4,5}:{(135,1),(136,1),(139,1),(157,1),(159,1),(184,1)}
       150:{1,5,6}:{(137,1),(138,1),(152,1),(158,1),(160,1)}
       151:{2,4,6}:{(138,1),(139,1),(153,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,5,7}:{(140,1),(141,1),(150,1),(162,1)}
       153:{2,4,7}:{(141,1),(142,1),(151,1),(162,1),(163,1),(176,1)}
       154:{1,2,7}:{(143,1),(144,1),(164,1),(176,1)}
       155:{1,3,6}:{(144,1),(145,1),(147,1),(164,1),(165,1)}
       156:{2,3,5}:{(145,1),(146,1),(148,1),(165,1),(166,1),(168,1),(179,1),(185,1)}
       157:{1,4}:{(146,1),(166,1)}
       158:{1,5}:{(147,1),(148,1)}
       159:{2,4,5}:{(148,1),(149,1),(151,1),(166,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(162,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(163,1),(168,1)}
       162:{1,4,7}:{(152,1),(153,1),(160,1),(170,1)}
       163:{3,7}:{(153,1),(161,1)}
       164:{1,2,6}:{(154,1),(155,1),(171,1),(175,1)}
       165:{1,3,5}:{(155,1),(156,1),(158,1),(171,1),(172,1),(182,1)}
       166:{2,4}:{(156,1),(157,1),(172,1),(173,1)}
       167:{1,4,5}:{(158,1),(159,1),(160,1),(172,1),(174,1)}
       168:{3,5}:{(159,1),(161,1),(173,1)}
       169:{1,3,6}:{(160,1),(161,1),(170,1),(174,1),(175,1)}
       170:{1,3,7}:{(162,1),(163,1),(169,1),(176,1)}
       171:{1,2,5}:{(164,1),(165,1),(177,1),(179,1)}
       172:{1,4}:{(165,1),(166,1)}
       173:{3,4}:{(166,1),(168,1)}
       174:{1,3,5}:{(167,1),(168,1),(169,1),(178,1),(179,1)}
       175:{2,6}:{(169,1),(176,1),(179,1),(180,1)}
       176:{2,7}:{(170,1),(175,1),(181,1)}
       177:{1,2,4}:{(171,1),(172,1),(182,1),(183,1)}
       178:{1,3,4}:{(172,1),(173,1),(174,1),(182,1),(183,1)}
       179:{2,5}:{(174,1),(175,1),(183,1),(184,1)}
       180:{1,6}:{(175,1),(181,1),(184,1)}
       181:{1,7}:{(176,1),(180,1)}
       182:{1,3}:{(177,1),(185,1)}
       183:{2,4}:{(178,1),(179,1),(185,1),(186,1)}
       184:{1,5}:{(179,1),(180,1),(186,1)}
       185:{2,3}:{(182,1),(183,1),(187,1)}
       186:{1,4}:{(183,1),(184,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

1024 :   0:{1,2,3,5}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(18,1),(165,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(10,1),(11,1),(24,1),(35,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(38,1),(151,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(34,1)}
         7:{2,3,4}:{(3,1),(15,1),(16,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(20,1),(54,1),(57,1),(134,1),(162,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(22,1),(40,1),(54,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(20,1),(23,1),(174,1)}
        13:{1,3,4,5}:{(8,1),(24,1),(25,1),(35,1),(74,1)}
        14:{1,2,3}:{(26,1)}
        15:{1,3,4}:{(7,1),(26,1),(28,1)}
        16:{2,3,5}:{(7,1),(8,1),(24,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(32,1),(72,1),(76,1),(113,1),(148,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1),(34,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(35,1)}
        20:{1,3,4,7}:{(9,1),(12,1),(32,1),(34,1),(36,1),(77,1),(172,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,4,7}:{(10,1),(34,1),(37,1),(61,1),(77,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(36,1),(38,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(18,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,4}:{(14,1),(15,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(44,1),(45,1),(46,1),(130,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(43,1),(47,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(44,1),(47,1),(48,1),(49,1),(90,1),(91,1),(95,1),(130,1)}
        30:{2,3,6}:{(16,1),(18,1),(40,1),(47,1),(51,1)}
        31:{2,3,5}:{(17,1),(19,1),(48,1),(52,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(49,1),(51,1),(53,1),(97,1),(163,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(50,1),(54,1),(55,1),(57,1),(102,1),(157,1),(162,1)}
        34:{1,3,7}:{(18,1),(22,1),(51,1)}
        35:{1,4,5}:{(19,1),(52,1),(54,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(53,1),(56,1),(57,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(55,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(23,1),(57,1)}
        39:{1,4,5}:{(24,1),(28,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(34,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,5}:{(26,1),(28,1),(64,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(29,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        45:{1,2,3,5}:{(27,1),(65,1),(67,1),(111,1)}
        46:{1,2,3,7}:{(27,1),(66,1),(149,1)}
        47:{1,3,6}:{(28,1),(30,1),(59,1),(64,1),(69,1)}
        48:{1,3,5}:{(29,1),(31,1),(65,1),(70,1)}
        49:{1,3,4,7}:{(29,1),(32,1),(66,1),(69,1),(71,1),(115,1),(149,1)}
        50:{2,3,5,6}:{(30,1),(31,1),(33,1),(60,1),(68,1),(72,1),(73,1),(76,1),(105,1),(122,1),(143,1),(148,1)}
        51:{2,3,7}:{(30,1),(34,1),(61,1),(69,1)}
        52:{2,4,5}:{(31,1),(35,1),(70,1),(72,1),(74,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(36,1),(71,1),(75,1),(76,1)}
        54:{1,4,6}:{(33,1),(35,1),(72,1),(77,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(37,1),(73,1),(77,1),(78,1),(123,1),(168,1),(172,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(75,1),(77,1),(79,1),(123,1)}
        57:{1,3,6}:{(36,1),(38,1),(76,1),(79,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(78,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(47,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(51,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(157,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,6}:{(43,1),(47,1),(87,1)}
        65:{1,2,5}:{(44,1),(48,1)}
        66:{1,2,4,7}:{(44,1),(46,1),(49,1),(87,1),(89,1)}
        67:{1,2,4}:{(45,1),(90,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(80,1),(86,1),(91,1),(92,1),(95,1),(130,1),(139,1)}
        69:{1,3,7}:{(47,1),(51,1),(81,1),(87,1)}
        70:{1,4,5}:{(48,1),(52,1),(91,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(53,1),(89,1),(94,1),(95,1)}
        72:{2,4,6}:{(50,1),(52,1),(54,1),(91,1),(96,1),(97,1)}
        73:{2,3,5,7}:{(50,1),(51,1),(55,1),(83,1),(92,1),(97,1),(98,1),(127,1),(141,1),(158,1),(163,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(56,1),(94,1),(97,1),(99,1),(100,1),(141,1)}
        76:{2,3,6}:{(53,1),(57,1),(95,1),(100,1)}
        77:{1,4,7}:{(54,1),(55,1),(97,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(58,1),(98,1),(101,1),(173,1)}
        79:{1,4,6}:{(56,1),(57,1),(100,1),(102,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(69,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(72,1),(103,1),(105,1),(106,1),(122,1),(143,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(146,1)}
        86:{1,2,5,6}:{(64,1),(65,1),(68,1),(109,1),(110,1),(112,1),(143,1)}
        87:{1,2,7}:{(64,1),(69,1)}
        88:{1,2,4,5}:{(65,1),(67,1),(70,1),(109,1),(111,1),(117,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(71,1),(112,1)}
        90:{1,3,4}:{(67,1),(111,1),(113,1)}
        91:{1,4,6}:{(68,1),(70,1),(72,1),(115,1)}
        92:{1,3,5,7}:{(68,1),(69,1),(73,1),(104,1),(110,1),(115,1),(116,1),(149,1),(154,1)}
        93:{1,3,4,5}:{(70,1),(74,1),(111,1),(114,1),(117,1)}
        94:{1,4,5,7}:{(70,1),(71,1),(75,1),(115,1),(118,1),(154,1)}
        95:{1,3,6}:{(71,1),(76,1),(112,1),(118,1)}
        96:{3,4,6}:{(72,1),(74,1),(105,1),(119,1)}
        97:{2,4,7}:{(72,1),(73,1),(77,1),(115,1),(119,1)}
        98:{2,3,6,7}:{(73,1),(76,1),(78,1),(107,1),(116,1),(120,1),(146,1),(169,1)}
        99:{3,4,5,7}:{(74,1),(75,1),(119,1),(121,1),(155,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(118,1),(121,1),(122,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(120,1),(123,1)}
       102:{1,5,6}:{(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(91,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(97,1),(125,1),(127,1),(128,1),(141,1),(158,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{1,2,4,6}:{(86,1),(88,1),(91,1),(130,1),(131,1),(135,1)}
       110:{1,2,5,7}:{(86,1),(87,1),(92,1),(131,1),(132,1),(158,1)}
       111:{1,3,5}:{(88,1),(90,1),(130,1),(133,1)}
       112:{1,2,6}:{(89,1),(95,1)}
       113:{2,3,4}:{(90,1),(133,1),(134,1)}
       114:{1,3,4,6}:{(91,1),(93,1),(96,1),(124,1),(130,1),(135,1),(136,1)}
       115:{1,4,7}:{(91,1),(92,1),(97,1)}
       116:{1,3,6,7}:{(92,1),(95,1),(98,1),(126,1),(132,1),(137,1)}
       117:{2,4,5}:{(93,1),(133,1),(135,1),(138,1)}
       118:{1,4,6}:{(94,1),(95,1),(100,1),(139,1)}
       119:{3,4,7}:{(96,1),(97,1),(127,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(100,1),(101,1),(137,1),(140,1),(141,1)}
       121:{3,4,6}:{(99,1),(100,1),(142,1)}
       122:{2,5,6}:{(100,1),(102,1),(139,1),(141,1),(142,1)}
       123:{1,5,7}:{(101,1),(102,1),(141,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(114,1),(143,1),(144,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(115,1),(144,1),(145,1),(154,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(146,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(145,1),(146,1),(147,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(147,1)}
       130:{1,3,6}:{(109,1),(111,1),(148,1),(149,1)}
       131:{1,2,4,7}:{(109,1),(110,1),(115,1),(149,1),(153,1)}
       132:{1,2,6,7}:{(110,1),(112,1),(116,1),(169,1)}
       133:{2,3,5}:{(111,1),(113,1),(117,1),(148,1),(150,1)}
       134:{1,3,4}:{(113,1),(150,1),(151,1)}
       135:{2,4,6}:{(114,1),(117,1),(143,1),(148,1),(152,1),(153,1)}
       136:{1,3,4,7}:{(114,1),(115,1),(119,1),(144,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(118,1),(120,1),(154,1)}
       138:{1,4,5}:{(117,1),(150,1),(152,1)}
       139:{1,5,6}:{(118,1),(122,1),(154,1)}
       140:{3,4,6,7}:{(119,1),(120,1),(121,1),(146,1),(155,1),(170,1)}
       141:{2,5,7}:{(120,1),(122,1),(123,1),(154,1),(155,1)}
       142:{3,5,6}:{(121,1),(122,1),(155,1),(156,1)}
       143:{2,5,6}:{(124,1),(135,1),(157,1),(158,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(136,1),(158,1),(159,1)}
       145:{1,4,6,7}:{(125,1),(126,1),(128,1),(159,1),(160,1)}
       146:{3,6,7}:{(127,1),(128,1)}
       147:{2,5,6,7}:{(128,1),(129,1),(141,1),(160,1),(161,1)}
       148:{2,3,6}:{(130,1),(133,1),(135,1),(162,1),(163,1)}
       149:{1,3,7}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(133,1),(134,1),(138,1),(162,1),(164,1)}
       151:{1,2,4}:{(134,1),(164,1),(165,1)}
       152:{1,4,6}:{(135,1),(138,1),(157,1),(162,1),(166,1)}
       153:{2,4,7}:{(135,1),(136,1),(158,1),(163,1),(166,1)}
       154:{1,5,7}:{(137,1),(139,1),(141,1)}
       155:{3,5,7}:{(140,1),(141,1),(142,1),(167,1)}
       156:{4,5,6}:{(142,1),(167,1)}
       157:{1,5,6}:{(143,1),(152,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(153,1),(168,1),(169,1)}
       159:{1,3,6,7}:{(144,1),(145,1),(146,1),(169,1)}
       160:{1,5,6,7}:{(145,1),(147,1),(154,1)}
       161:{3,5,6,7}:{(146,1),(147,1),(155,1),(170,1)}
       162:{1,3,6}:{(148,1),(150,1),(152,1),(171,1),(172,1)}
       163:{2,3,7}:{(148,1),(149,1),(153,1),(172,1)}
       164:{1,2,5}:{(150,1),(151,1),(171,1)}
       165:{1,2,3}:{(151,1)}
       166:{1,4,7}:{(152,1),(153,1),(168,1),(172,1)}
       167:{4,5,7}:{(155,1),(156,1),(170,1)}
       168:{1,5,7}:{(157,1),(158,1),(166,1),(173,1)}
       169:{2,6,7}:{(158,1),(159,1),(173,1)}
       170:{4,6,7}:{(161,1),(167,1)}
       171:{1,2,6}:{(162,1),(164,1),(174,1)}
       172:{1,3,7}:{(162,1),(163,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1025 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(47,1),(136,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(111,1),(154,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(30,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(72,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(80,1),(101,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(18,1),(42,1),(46,1),(47,1),(84,1),(133,1)}
         6:{1,2,5}:{(1,1),(13,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(17,1),(167,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(58,1),(74,1),(124,1)}
        10:{1,2,3,5}:{(4,1),(20,1),(22,1),(57,1)}
        11:{1,2,3,7}:{(4,1),(21,1),(109,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(32,1),(59,1),(60,1),(64,1),(71,1),(108,1)}
        13:{1,3,5}:{(5,1),(6,1),(23,1),(26,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(24,1),(27,1),(67,1),(72,1),(155,1)}
        15:{1,2,5,6}:{(6,1),(25,1),(28,1),(29,1),(31,1),(118,1),(154,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(26,1),(28,1),(30,1),(69,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(27,1),(31,1)}
        18:{1,3,4}:{(8,1),(30,1),(32,1)}
        19:{1,3,4,6}:{(9,1),(12,1),(33,1),(34,1),(38,1),(51,1),(75,1),(79,1),(80,1),(98,1)}
        20:{1,2,5}:{(9,1),(33,1)}
        21:{1,2,4,7}:{(9,1),(11,1),(34,1),(37,1),(147,1)}
        22:{1,2,4}:{(10,1),(38,1)}
        23:{2,3,5}:{(12,1),(13,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(12,1),(14,1),(34,1),(41,1),(87,1),(99,1),(134,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(39,1),(42,1),(43,1),(46,1),(47,1),(97,1),(133,1),(162,1)}
        26:{1,4,5}:{(13,1),(40,1),(42,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(41,1),(45,1),(46,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(93,1)}
        29:{1,2,5,7}:{(15,1),(43,1),(48,1),(49,1),(143,1),(167,1)}
        30:{1,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{2,3,4}:{(18,1),(50,1),(51,1)}
        33:{1,3,5}:{(19,1),(20,1),(23,1),(53,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(24,1),(54,1),(104,1),(109,1),(125,1)}
        35:{1,2,5,6}:{(20,1),(52,1),(55,1),(56,1),(58,1),(124,1),(148,1)}
        36:{1,2,4,5}:{(20,1),(22,1),(53,1),(55,1),(57,1),(106,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(54,1),(58,1)}
        38:{1,3,4}:{(22,1),(57,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(52,1),(60,1),(61,1),(64,1),(71,1),(108,1),(112,1),(117,1),(118,1),(148,1)}
        40:{2,4,5}:{(23,1),(26,1),(53,1),(60,1),(62,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(27,1),(54,1),(63,1),(64,1)}
        42:{1,4,6}:{(25,1),(26,1),(60,1),(67,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(61,1),(67,1),(68,1),(72,1),(123,1),(155,1),(171,1)}
        44:{1,3,4,5}:{(26,1),(30,1),(62,1),(66,1),(69,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(63,1),(67,1),(70,1),(123,1)}
        46:{1,3,6}:{(27,1),(31,1),(64,1),(70,1)}
        47:{1,3,6}:{(28,1),(30,1),(71,1),(72,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(67,1),(72,1),(122,1)}
        49:{1,2,6,7}:{(29,1),(31,1),(68,1),(161,1)}
        50:{2,3,5}:{(30,1),(32,1),(69,1),(71,1),(73,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,3,5,6}:{(33,1),(35,1),(39,1),(75,1),(76,1),(79,1),(80,1),(98,1),(132,1),(142,1)}
        53:{1,4,5}:{(33,1),(40,1),(75,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(37,1),(41,1),(78,1),(79,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(75,1),(80,1),(81,1),(128,1)}
        56:{1,2,5,7}:{(35,1),(76,1),(81,1),(82,1),(147,1),(163,1)}
        57:{1,3,5}:{(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,6}:{(37,1),(79,1)}
        59:{2,3,4}:{(38,1),(83,1),(84,1)}
        60:{2,4,6}:{(39,1),(40,1),(42,1),(75,1),(86,1),(87,1)}
        61:{2,3,5,7}:{(39,1),(43,1),(76,1),(87,1),(88,1),(99,1),(134,1),(137,1),(140,1),(143,1),(163,1)}
        62:{3,4,5}:{(40,1),(86,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(78,1),(87,1),(89,1),(90,1),(140,1)}
        64:{2,3,6}:{(41,1),(46,1),(79,1),(90,1)}
        65:{1,4,5,6}:{(42,1),(85,1),(91,1),(92,1),(97,1),(162,1)}
        66:{1,3,4,6}:{(42,1),(44,1),(47,1),(86,1),(91,1),(93,1),(94,1)}
        67:{1,4,7}:{(42,1),(43,1),(87,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(49,1),(88,1),(95,1),(174,1)}
        69:{2,4,5}:{(44,1),(50,1),(93,1),(96,1)}
        70:{1,4,6}:{(45,1),(46,1),(90,1),(97,1)}
        71:{2,3,6}:{(47,1),(50,1),(93,1),(98,1),(99,1)}
        72:{1,3,7}:{(47,1),(48,1),(99,1)}
        73:{1,3,5}:{(50,1),(51,1),(96,1),(98,1),(100,1)}
        74:{1,2,4}:{(51,1),(100,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(60,1),(104,1)}
        76:{1,3,5,7}:{(52,1),(56,1),(61,1),(104,1),(105,1),(109,1),(125,1),(153,1),(160,1)}
        77:{1,3,4,5}:{(53,1),(57,1),(62,1),(103,1),(106,1)}
        78:{1,4,5,7}:{(53,1),(54,1),(63,1),(104,1),(107,1),(153,1)}
        79:{1,3,6}:{(54,1),(58,1),(64,1),(107,1)}
        80:{1,3,6}:{(55,1),(57,1),(108,1),(109,1)}
        81:{1,2,4,7}:{(55,1),(56,1),(104,1),(109,1),(152,1)}
        82:{1,2,6,7}:{(56,1),(58,1),(105,1),(172,1)}
        83:{2,3,5}:{(57,1),(59,1),(106,1),(108,1),(110,1)}
        84:{1,3,4}:{(59,1),(110,1),(111,1)}
        85:{2,4,5,6}:{(60,1),(65,1),(102,1),(112,1),(113,1),(117,1),(118,1),(148,1),(159,1)}
        86:{3,4,6}:{(60,1),(62,1),(112,1),(114,1)}
        87:{2,4,7}:{(60,1),(61,1),(67,1),(104,1),(114,1)}
        88:{2,3,6,7}:{(61,1),(64,1),(68,1),(105,1),(115,1),(156,1),(161,1),(172,1)}
        89:{3,4,5,7}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        90:{2,4,6}:{(63,1),(64,1),(70,1),(107,1),(116,1),(117,1)}
        91:{1,3,5,6}:{(65,1),(66,1),(112,1),(118,1),(119,1)}
        92:{1,4,5,7}:{(65,1),(67,1),(113,1),(119,1),(120,1),(123,1),(171,1)}
        93:{2,4,6}:{(66,1),(69,1),(71,1),(118,1),(121,1),(122,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(72,1),(114,1),(119,1),(122,1)}
        95:{1,4,6,7}:{(67,1),(68,1),(70,1),(115,1),(123,1)}
        96:{1,4,5}:{(69,1),(73,1),(121,1)}
        97:{1,5,6}:{(70,1),(117,1),(123,1)}
        98:{1,3,6}:{(71,1),(73,1),(121,1),(124,1),(125,1)}
        99:{2,3,7}:{(71,1),(72,1),(122,1),(125,1)}
       100:{1,2,5}:{(73,1),(74,1),(124,1)}
       101:{1,2,3}:{(74,1)}
       102:{1,4,5,6}:{(75,1),(85,1),(126,1),(127,1),(132,1),(142,1)}
       103:{1,3,4,6}:{(75,1),(77,1),(80,1),(86,1),(126,1),(128,1),(129,1)}
       104:{1,4,7}:{(75,1),(76,1),(87,1)}
       105:{1,3,6,7}:{(76,1),(79,1),(82,1),(88,1),(130,1),(170,1)}
       106:{2,4,5}:{(77,1),(83,1),(128,1),(131,1)}
       107:{1,4,6}:{(78,1),(79,1),(90,1),(132,1)}
       108:{2,3,6}:{(80,1),(83,1),(128,1),(133,1),(134,1)}
       109:{1,3,7}:{(80,1),(81,1),(134,1)}
       110:{1,3,5}:{(83,1),(84,1),(131,1),(133,1),(135,1)}
       111:{1,2,4}:{(84,1),(135,1),(136,1)}
       112:{3,5,6}:{(85,1),(86,1),(137,1)}
       113:{2,4,5,7}:{(85,1),(87,1),(92,1),(127,1),(137,1),(138,1),(140,1),(143,1),(163,1),(169,1)}
       114:{3,4,7}:{(86,1),(87,1),(137,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(90,1),(95,1),(130,1),(139,1),(140,1)}
       116:{3,4,6}:{(89,1),(90,1),(141,1)}
       117:{2,5,6}:{(90,1),(97,1),(132,1),(140,1),(141,1)}
       118:{2,5,6}:{(91,1),(93,1),(142,1),(143,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(94,1),(137,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(92,1),(138,1),(144,1),(145,1),(174,1)}
       121:{1,4,6}:{(93,1),(96,1),(98,1),(142,1),(146,1)}
       122:{2,4,7}:{(93,1),(94,1),(99,1),(143,1),(146,1)}
       123:{1,5,7}:{(95,1),(97,1),(140,1)}
       124:{1,2,6}:{(98,1),(100,1),(147,1)}
       125:{1,3,7}:{(98,1),(99,1),(146,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(103,1),(112,1),(148,1),(149,1)}
       127:{1,4,5,7}:{(102,1),(104,1),(113,1),(149,1),(150,1),(153,1),(160,1)}
       128:{2,4,6}:{(103,1),(106,1),(108,1),(148,1),(151,1),(152,1)}
       129:{1,3,4,7}:{(103,1),(104,1),(109,1),(114,1),(149,1),(152,1)}
       130:{1,4,6,7}:{(104,1),(105,1),(107,1),(115,1),(153,1)}
       131:{1,4,5}:{(106,1),(110,1),(151,1)}
       132:{1,5,6}:{(107,1),(117,1),(153,1)}
       133:{1,3,6}:{(108,1),(110,1),(151,1),(154,1),(155,1)}
       134:{2,3,7}:{(108,1),(109,1),(152,1),(155,1)}
       135:{1,2,5}:{(110,1),(111,1),(154,1)}
       136:{1,2,3}:{(111,1)}
       137:{3,5,7}:{(112,1),(113,1),(114,1),(156,1)}
       138:{2,4,6,7}:{(113,1),(120,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,4,6,7}:{(114,1),(115,1),(116,1),(156,1),(158,1),(173,1)}
       140:{2,5,7}:{(115,1),(117,1),(123,1),(153,1),(158,1)}
       141:{3,5,6}:{(116,1),(117,1),(158,1),(159,1)}
       142:{1,5,6}:{(118,1),(121,1),(160,1)}
       143:{2,5,7}:{(118,1),(119,1),(122,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(119,1),(120,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(120,1),(123,1),(157,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(160,1)}
       147:{1,2,7}:{(124,1),(125,1)}
       148:{2,5,6}:{(126,1),(128,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(127,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(128,1),(131,1),(133,1),(162,1),(166,1)}
       152:{2,4,7}:{(128,1),(129,1),(134,1),(163,1),(166,1)}
       153:{1,5,7}:{(130,1),(132,1),(140,1)}
       154:{1,2,6}:{(133,1),(135,1),(167,1)}
       155:{1,3,7}:{(133,1),(134,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(140,1),(145,1),(165,1),(168,1)}
       158:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       159:{4,5,6}:{(141,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(158,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1026 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1027 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1028 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

1029 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1030 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1031 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1032 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1033 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1034 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1035 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(133,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(104,1),(113,1),(162,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(69,1),(118,1),(123,1),(127,1),(159,1),(169,1),(173,1),(206,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(48,1),(77,1),(93,1),(130,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(77,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(187,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(46,1),(92,1),(133,1),(143,1),(148,1),(154,1),(187,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(95,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(30,1),(53,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(54,1),(158,1),(169,1),(204,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(104,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(28,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(28,1),(29,1),(171,1),(181,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(29,1),(30,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(28,1),(31,1),(206,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(29,1),(31,1),(32,1),(64,1),(68,1),(117,1),(123,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(33,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(35,1),(36,1),(77,1),(81,1),(93,1),(132,1),(143,1),(150,1),(185,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(182,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(43,1),(77,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(130,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(46,1),(89,1)}
        27:{1,3,4,5}:{(17,1),(45,1),(95,1),(153,1),(224,1),(231,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(46,1),(187,1),(196,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(46,1),(47,1),(148,1),(155,1)}
        30:{1,3,6,7}:{(16,1),(44,1),(47,1),(48,1),(145,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(46,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(47,1),(50,1),(51,1),(90,1),(95,1),(100,1),(145,1)}
        33:{1,4,5,7}:{(19,1),(22,1),(52,1),(53,1),(66,1)}
        34:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(53,1),(54,1),(56,1),(101,1)}
        35:{1,2,4,5,6}:{(20,1),(52,1),(55,1),(102,1),(107,1),(119,1),(158,1),(164,1),(169,1),(175,1),(204,1),(210,1),(212,1),(216,1),(244,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(55,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(157,1),(204,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(52,1),(59,1),(64,1),(102,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(54,1),(61,1),(62,1),(70,1),(109,1),(112,1),(116,1),(117,1),(157,1),(172,1),(215,1),(218,1),(235,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(28,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(30,1),(66,1),(71,1),(118,1)}
        45:{2,4,5}:{(27,1),(31,1),(68,1),(69,1),(123,1),(180,1)}
        46:{2,4,7}:{(28,1),(29,1),(31,1),(71,1)}
        47:{1,3,5,7}:{(29,1),(30,1),(32,1),(66,1),(71,1),(72,1),(126,1)}
        48:{1,2,6,7}:{(30,1),(72,1),(173,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(70,1),(73,1),(117,1),(128,1),(180,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,2,5,6}:{(32,1),(72,1),(74,1),(123,1),(173,1)}
        52:{1,4,5,6}:{(33,1),(38,1),(75,1),(90,1),(141,1),(224,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        54:{2,4,6,7}:{(34,1),(37,1),(77,1),(78,1),(81,1),(129,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(79,1),(80,1),(182,1),(188,1),(194,1),(230,1),(231,1)}
        56:{1,3,4,7}:{(36,1),(79,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(77,1),(80,1),(81,1),(82,1),(185,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(78,1),(82,1),(83,1),(182,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(77,1),(85,1),(86,1),(87,1),(231,1),(233,1),(242,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(78,1),(87,1),(88,1),(94,1),(97,1),(134,1),(139,1),(141,1),(145,1),(150,1),(182,1),(187,1),(194,1),(196,1),(199,1),(223,1),(232,1),(241,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(48,1),(88,1),(93,1),(94,1),(98,1),(146,1),(150,1),(192,1),(221,1),(241,1)}
        68:{2,3,5}:{(45,1),(49,1),(95,1),(231,1),(233,1)}
        69:{1,4,5}:{(45,1),(50,1),(95,1),(203,1)}
        70:{2,3,4,7}:{(46,1),(49,1),(91,1),(97,1),(155,1),(196,1),(202,1)}
        71:{1,4,7}:{(46,1),(47,1),(50,1)}
        72:{1,2,5,7}:{(47,1),(48,1),(51,1),(98,1),(148,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(153,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,5,6}:{(52,1),(53,1),(59,1),(101,1),(102,1),(236,1)}
        76:{1,3,4,5,7}:{(53,1),(56,1),(60,1),(101,1),(103,1),(106,1),(114,1),(160,1),(171,1),(209,1),(236,1)}
        77:{2,5,7}:{(53,1),(54,1),(102,1),(104,1)}
        78:{1,4,6,7}:{(54,1),(58,1),(104,1),(110,1),(158,1)}
        79:{1,3,4,6}:{(55,1),(56,1),(106,1),(107,1),(175,1),(215,1)}
        80:{2,3,5,6}:{(55,1),(57,1),(102,1),(107,1),(108,1),(157,1),(163,1),(204,1),(210,1),(213,1)}
        81:{2,4,7}:{(56,1),(57,1),(107,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(104,1),(108,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(204,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(102,1),(112,1),(113,1),(117,1),(157,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(104,1),(113,1),(114,1),(115,1),(171,1),(219,1),(236,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(125,1),(167,1),(169,1),(172,1),(173,1),(204,1),(218,1),(235,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(70,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(71,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(126,1),(174,1),(214,1),(234,1)}
        95:{1,3,5}:{(68,1),(69,1),(73,1),(123,1),(240,1)}
        96:{1,2,4,5}:{(69,1),(74,1),(123,1),(124,1),(180,1)}
        97:{1,3,4,7}:{(70,1),(71,1),(73,1),(120,1),(125,1),(126,1),(181,1),(220,1)}
        98:{1,2,4,7}:{(71,1),(72,1),(74,1),(125,1),(126,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(180,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,6}:{(75,1),(76,1),(84,1),(129,1),(141,1),(182,1),(194,1)}
       102:{2,5,6}:{(75,1),(77,1),(129,1),(130,1),(242,1)}
       103:{2,4,5,7}:{(76,1),(77,1),(81,1),(129,1),(131,1),(132,1),(135,1),(185,1),(226,1),(242,1)}
       104:{1,5,7}:{(77,1),(78,1),(130,1)}
       105:{1,2,4,6,7}:{(78,1),(83,1),(88,1),(133,1),(134,1),(140,1),(154,1),(183,1),(187,1),(197,1),(232,1)}
       106:{1,3,4,5}:{(79,1),(135,1),(188,1),(200,1),(229,1),(231,1)}
       107:{2,4,6}:{(79,1),(80,1),(81,1),(135,1),(137,1)}
       108:{1,3,5,6}:{(80,1),(82,1),(130,1),(137,1),(138,1),(182,1),(188,1),(191,1)}
       109:{2,3,4,7}:{(81,1),(131,1),(136,1),(139,1),(193,1),(196,1),(226,1)}
       110:{1,4,7}:{(81,1),(82,1),(137,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(138,1),(140,1),(185,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(130,1),(141,1),(142,1),(145,1),(182,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(187,1),(200,1),(224,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(242,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(134,1),(144,1),(155,1),(193,1),(194,1),(198,1),(222,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(221,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,5}:{(95,1),(99,1)}
       124:{1,3,5}:{(96,1),(100,1),(152,1),(153,1)}
       125:{2,4,7}:{(97,1),(99,1),(148,1),(155,1)}
       126:{1,3,7}:{(98,1),(100,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(154,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(155,1),(156,1)}
       129:{2,4,6}:{(101,1),(102,1),(103,1),(157,1),(158,1),(204,1)}
       130:{1,5,6}:{(102,1),(104,1),(158,1),(244,1)}
       131:{2,3,5,7}:{(103,1),(109,1),(157,1),(160,1),(163,1),(171,1)}
       132:{1,4,5,7}:{(103,1),(104,1),(110,1),(158,1),(160,1),(164,1),(237,1),(244,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(115,1),(159,1),(162,1),(240,1)}
       134:{1,3,6,7}:{(105,1),(116,1),(162,1),(168,1),(181,1),(205,1),(217,1)}
       135:{2,4,5}:{(106,1),(107,1),(163,1),(164,1),(210,1),(239,1)}
       136:{2,3,4,6}:{(107,1),(109,1),(157,1),(163,1),(165,1),(213,1),(215,1),(235,1),(239,1)}
       137:{1,4,6}:{(107,1),(108,1),(110,1),(164,1)}
       138:{1,2,5,6}:{(108,1),(111,1),(166,1),(204,1),(210,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(160,1),(165,1),(167,1),(168,1),(214,1),(237,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(166,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(204,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(162,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(234,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,5}:{(123,1),(127,1),(179,1),(240,1)}
       152:{2,3,5}:{(123,1),(124,1),(128,1),(179,1),(180,1)}
       153:{1,3,4}:{(124,1),(180,1)}
       154:{1,2,4,7}:{(125,1),(127,1),(176,1),(181,1),(220,1)}
       155:{2,3,7}:{(125,1),(126,1),(128,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(181,1)}
       157:{2,3,6}:{(129,1),(131,1),(182,1),(194,1)}
       158:{1,4,6}:{(129,1),(130,1),(132,1),(182,1)}
       159:{1,2,5,6}:{(130,1),(133,1),(142,1),(183,1),(184,1),(197,1),(242,1)}
       160:{1,3,5,7}:{(131,1),(132,1),(139,1),(182,1),(185,1),(188,1)}
       161:{1,2,4,5,7}:{(132,1),(133,1),(140,1),(143,1),(183,1),(185,1),(186,1),(187,1),(189,1),(224,1),(226,1),(242,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(144,1),(184,1),(187,1)}
       163:{2,3,5}:{(135,1),(136,1),(188,1),(231,1),(242,1)}
       164:{1,4,5}:{(135,1),(137,1),(188,1),(243,1)}
       165:{1,3,4,6}:{(136,1),(137,1),(139,1),(182,1),(188,1),(190,1),(191,1),(229,1),(230,1),(241,1),(243,1)}
       166:{1,2,4,6}:{(137,1),(138,1),(140,1),(189,1),(190,1),(191,1)}
       167:{2,4,7}:{(139,1),(185,1),(190,1),(193,1)}
       168:{1,3,7}:{(140,1),(191,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(184,1),(194,1),(195,1),(198,1),(222,1),(231,1),(233,1),(242,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(187,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(154,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(155,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(153,1),(196,1),(199,1),(202,1)}
       179:{1,3,5}:{(151,1),(152,1),(156,1),(203,1)}
       180:{2,4}:{(152,1),(153,1),(203,1)}
       181:{1,3,7}:{(154,1),(155,1),(156,1)}
       182:{1,3,6}:{(157,1),(158,1),(160,1),(204,1)}
       183:{1,2,4,6}:{(158,1),(159,1),(161,1),(169,1),(204,1),(205,1),(206,1),(235,1)}
       184:{1,3,5,6}:{(159,1),(162,1),(170,1),(205,1),(206,1),(217,1),(236,1),(240,1)}
       185:{2,5,7}:{(160,1),(167,1),(204,1),(210,1)}
       186:{1,3,5,7}:{(161,1),(168,1),(171,1),(205,1),(208,1),(209,1),(211,1),(236,1)}
       187:{1,4,7}:{(162,1),(172,1),(206,1)}
       188:{1,3,5}:{(163,1),(164,1),(165,1),(210,1),(244,1)}
       189:{1,2,4,5}:{(164,1),(166,1),(210,1),(211,1),(239,1)}
       190:{2,4,6}:{(165,1),(167,1),(204,1),(210,1),(213,1),(239,1)}
       191:{1,3,6}:{(166,1),(168,1),(211,1),(213,1)}
       192:{1,2,4,7}:{(167,1),(207,1),(212,1),(214,1),(237,1)}
       193:{2,3,7}:{(167,1),(168,1),(213,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(206,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(181,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(180,1),(218,1),(220,1)}
       203:{1,4}:{(179,1),(180,1)}
       204:{2,6}:{(182,1),(185,1)}
       205:{1,3,6}:{(183,1),(186,1),(194,1),(222,1)}
       206:{1,4,6}:{(184,1),(187,1),(195,1),(224,1)}
       207:{1,2,5,7}:{(185,1),(192,1),(221,1),(225,1),(227,1)}
       208:{2,3,5,7}:{(185,1),(186,1),(193,1),(222,1),(225,1),(226,1),(228,1),(242,1)}
       209:{1,3,4,7}:{(186,1),(187,1),(196,1),(223,1),(226,1),(229,1)}
       210:{2,5}:{(188,1),(190,1)}
       211:{1,3,5}:{(189,1),(191,1),(228,1),(229,1)}
       212:{1,2,4,6}:{(190,1),(192,1),(221,1),(227,1),(230,1),(241,1),(243,1)}
       213:{2,3,6}:{(190,1),(191,1),(193,1),(228,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(224,1),(231,1),(233,1),(242,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,6}:{(204,1),(207,1),(234,1)}
       222:{2,3,6}:{(204,1),(205,1),(208,1),(234,1),(235,1)}
       223:{1,3,4,6}:{(205,1),(206,1),(209,1),(215,1),(235,1),(236,1)}
       224:{1,4,5}:{(206,1),(216,1),(236,1),(240,1)}
       225:{1,3,5,7}:{(207,1),(208,1),(214,1),(234,1),(237,1),(238,1),(244,1)}
       226:{2,4,7}:{(208,1),(209,1),(235,1),(237,1),(239,1)}
       227:{1,2,5}:{(210,1),(212,1),(238,1),(244,1)}
       228:{2,3,5}:{(210,1),(211,1),(213,1),(238,1),(239,1)}
       229:{1,3,4}:{(211,1),(239,1)}
       230:{1,3,6}:{(212,1),(213,1),(214,1),(238,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,6}:{(221,1),(222,1),(225,1),(241,1)}
       235:{2,4,6}:{(222,1),(223,1),(226,1),(241,1),(242,1)}
       236:{1,3,5}:{(223,1),(224,1),(231,1),(242,1)}
       237:{1,4,7}:{(225,1),(226,1),(241,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(230,1),(243,1)}
       239:{2,4}:{(228,1),(229,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4,6}:{(234,1),(235,1),(237,1),(244,1)}
       242:{2,5}:{(235,1),(236,1),(244,1)}
       243:{1,4}:{(238,1),(239,1)}
       244:{1,5}:{(241,1),(242,1)}

1036 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1037 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1038 :   0:{1,2,6,7}:{(3,1),(4,1),(158,1),(246,1),(303,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(82,1),(138,1),(158,1),(162,1),(224,1),(241,1),(303,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(29,1),(33,1),(82,1),(87,1),(139,1),(155,1),(224,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(114,1),(262,1),(339,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(13,1),(14,1),(115,1),(177,1),(206,1),(282,1)}
         5:{1,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(16,1),(47,1),(52,1),(98,1),(114,1),(180,1),(262,1),(267,1),(339,1),(393,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(53,1),(123,1),(200,1),(277,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(20,1),(219,1),(247,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(136,1),(163,1),(219,1),(223,1),(241,1),(247,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(146,1),(158,1),(219,1),(318,1),(319,1),(375,1)}
        11:{2,3,5,6}:{(5,1),(21,1),(24,1),(25,1),(31,1),(65,1),(67,1),(71,1),(82,1),(136,1),(146,1),(158,1),(219,1),(241,1),(242,1),(316,1),(319,1),(374,1),(380,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(27,1),(76,1),(369,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(133,1),(220,1)}
        14:{1,2,4,7}:{(4,1),(6,1),(27,1),(28,1),(78,1),(165,1),(243,1),(315,1)}
        15:{1,4,6}:{(5,1),(25,1),(27,1),(29,1),(307,1)}
        16:{1,3,6}:{(6,1),(7,1),(28,1),(31,1),(316,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(82,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(174,1),(203,1),(288,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(37,1),(38,1),(117,1),(175,1),(265,1),(282,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(37,1),(39,1),(40,1),(54,1),(91,1),(96,1),(120,1),(174,1),(203,1),(208,1),(288,1),(358,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(97,1),(258,1),(277,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(43,1),(103,1),(353,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(43,1),(50,1),(94,1),(104,1),(115,1),(175,1),(282,1),(350,1),(396,1)}
        25:{2,4,6}:{(11,1),(15,1),(39,1),(43,1),(44,1),(45,1),(284,1),(397,1)}
        26:{1,5,7}:{(12,1),(42,1),(47,1),(393,1)}
        27:{1,4,7}:{(13,1),(15,1),(43,1)}
        28:{1,3,7}:{(14,1),(16,1),(50,1),(350,1)}
        29:{1,4,5}:{(15,1),(44,1),(52,1),(180,1),(393,1)}
        30:{1,3,4,6}:{(15,1),(16,1),(17,1),(45,1),(49,1),(52,1),(53,1),(114,1)}
        31:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(52,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(120,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(63,1),(127,1),(136,1),(163,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(61,1),(130,1),(326,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(61,1),(62,1),(79,1),(159,1)}
        38:{1,2,4,7}:{(20,1),(22,1),(61,1),(62,1),(132,1),(299,1),(315,1),(363,1)}
        39:{1,4,6}:{(21,1),(25,1),(61,1),(63,1),(251,1)}
        40:{1,3,6}:{(22,1),(59,1),(62,1),(65,1),(316,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(69,1),(141,1),(146,1),(375,1),(376,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(67,1),(380,1)}
        43:{2,4,7}:{(24,1),(25,1),(27,1),(61,1),(69,1),(411,1)}
        44:{2,4,5}:{(25,1),(29,1),(63,1),(71,1),(82,1),(136,1),(380,1),(412,1)}
        45:{3,4,6}:{(25,1),(69,1),(71,1),(146,1),(316,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,5,6}:{(26,1),(67,1),(76,1)}
        48:{1,4,5,7}:{(26,1),(27,1),(29,1),(68,1),(76,1),(77,1),(220,1)}
        49:{1,3,4,7}:{(27,1),(28,1),(30,1),(69,1),(77,1),(78,1)}
        50:{2,3,7}:{(28,1),(31,1),(78,1),(79,1),(243,1)}
        51:{1,4,5,6}:{(29,1),(70,1),(76,1),(80,1),(81,1),(223,1),(234,1),(311,1),(328,1),(384,1)}
        52:{1,3,5}:{(29,1),(30,1),(71,1),(82,1)}
        53:{2,4,6}:{(30,1),(31,1),(33,1),(78,1),(82,1),(83,1),(158,1)}
        54:{1,3,6}:{(31,1),(34,1),(79,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(81,1),(85,1),(86,1),(143,1),(154,1),(234,1),(316,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(82,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(91,1),(358,1)}
        61:{1,4,7}:{(37,1),(39,1),(43,1)}
        62:{1,3,7}:{(38,1),(40,1),(94,1),(350,1)}
        63:{1,4,5}:{(39,1),(44,1),(96,1),(120,1),(358,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(89,1),(93,1),(96,1),(97,1),(174,1)}
        65:{2,3,6}:{(40,1),(90,1),(94,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(399,1)}
        67:{2,5,6}:{(42,1),(47,1),(91,1),(99,1),(103,1)}
        68:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(92,1),(100,1),(103,1),(104,1),(115,1),(175,1)}
        69:{3,4,7}:{(43,1),(45,1),(104,1),(350,1)}
        70:{2,4,5,6}:{(44,1),(51,1),(95,1),(103,1),(106,1),(107,1),(119,1),(179,1),(184,1),(189,1),(272,1),(277,1),(346,1),(355,1),(397,1),(402,1)}
        71:{3,5}:{(44,1),(45,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(53,1),(97,1),(105,1),(108,1),(109,1),(110,1),(168,1),(189,1),(192,1),(198,1),(254,1),(284,1),(286,1),(351,1),(353,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(47,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,6}:{(47,1),(48,1),(103,1),(114,1),(262,1)}
        77:{1,3,5,7}:{(48,1),(49,1),(52,1),(104,1),(114,1),(115,1)}
        78:{2,4,7}:{(49,1),(50,1),(53,1),(115,1),(116,1)}
        79:{1,3,7}:{(50,1),(54,1),(116,1),(117,1)}
        80:{1,4,5,7}:{(51,1),(106,1),(113,1),(118,1),(265,1),(276,1),(345,1)}
        81:{1,3,5,6}:{(51,1),(52,1),(55,1),(107,1),(114,1),(118,1),(119,1),(293,1),(360,1)}
        82:{2,5}:{(52,1),(53,1),(120,1)}
        83:{1,4,6}:{(53,1),(54,1),(57,1),(116,1),(120,1),(203,1)}
        84:{1,2,6}:{(54,1),(58,1),(117,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(118,1),(122,1),(188,1),(199,1),(276,1),(350,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(119,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(120,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(136,1),(297,1),(298,1)}
        91:{1,5,6}:{(60,1),(67,1),(130,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(63,1),(68,1),(130,1),(131,1),(159,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(69,1),(131,1),(132,1)}
        94:{2,3,7}:{(62,1),(65,1),(132,1),(133,1),(363,1)}
        95:{1,4,5,6}:{(63,1),(70,1),(130,1),(134,1),(135,1),(162,1),(234,1),(311,1),(371,1),(410,1)}
        96:{1,3,5}:{(63,1),(64,1),(71,1),(136,1)}
        97:{2,4,6}:{(64,1),(65,1),(127,1),(132,1),(136,1),(137,1),(219,1)}
        98:{1,3,6}:{(65,1),(128,1),(133,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(67,1),(141,1),(146,1)}
       100:{4,5,7}:{(66,1),(141,1),(411,1),(412,1)}
       101:{3,4,5}:{(71,1),(143,1),(144,1),(317,1),(378,1),(412,1)}
       102:{2,5,6,7}:{(67,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,6}:{(67,1),(68,1),(76,1),(130,1),(141,1),(146,1),(158,1),(219,1)}
       104:{3,5,7}:{(68,1),(69,1),(71,1),(146,1)}
       105:{2,3,4,7}:{(69,1),(72,1),(78,1),(132,1),(147,1),(148,1),(153,1),(233,1),(239,1),(295,1),(320,1),(323,1),(377,1),(406,1)}
       106:{2,4,5,7}:{(70,1),(80,1),(134,1),(145,1),(149,1),(161,1),(222,1),(228,1),(233,1),(310,1),(315,1),(373,1),(411,1)}
       107:{3,5,6}:{(70,1),(71,1),(143,1),(146,1),(149,1),(316,1),(378,1),(414,1)}
       108:{2,3,5}:{(71,1),(72,1),(82,1),(136,1),(144,1),(151,1),(324,1),(378,1),(380,1),(407,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(83,1),(137,1),(148,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(234,1),(237,1),(251,1),(296,1),(307,1),(309,1),(316,1),(317,1),(326,1),(369,1),(376,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(316,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(80,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,6}:{(76,1),(77,1),(146,1),(158,1)}
       115:{2,5,7}:{(77,1),(78,1),(82,1),(158,1),(159,1)}
       116:{1,4,7}:{(78,1),(79,1),(83,1),(159,1)}
       117:{1,2,7}:{(79,1),(84,1),(243,1)}
       118:{1,3,5,7}:{(80,1),(81,1),(85,1),(149,1),(157,1),(161,1)}
       119:{2,5,6}:{(81,1),(82,1),(86,1),(158,1),(161,1),(162,1),(324,1),(382,1)}
       120:{1,5}:{(82,1),(83,1)}
       121:{1,2,4,6}:{(83,1),(84,1),(88,1),(152,1),(160,1),(163,1),(164,1),(247,1),(251,1),(294,1),(326,1),(361,1),(405,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(161,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(163,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(328,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(96,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(180,1),(260,1)}
       129:{1,5,6,7}:{(91,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,6}:{(91,1),(92,1),(103,1),(174,1),(203,1)}
       131:{1,3,5,7}:{(92,1),(93,1),(96,1),(104,1),(174,1),(175,1)}
       132:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(176,1)}
       133:{1,3,7}:{(94,1),(98,1),(176,1),(177,1)}
       134:{1,4,5,7}:{(95,1),(106,1),(173,1),(178,1),(206,1),(276,1),(345,1)}
       135:{1,3,5,6}:{(95,1),(96,1),(107,1),(169,1),(174,1),(178,1),(179,1),(391,1),(419,1)}
       136:{2,5}:{(96,1),(97,1),(180,1)}
       137:{1,4,6}:{(97,1),(98,1),(171,1),(176,1),(180,1),(262,1)}
       138:{1,2,6}:{(98,1),(172,1),(177,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(185,1),(191,1),(271,1),(396,1),(422,1)}
       141:{4,6}:{(99,1),(100,1)}
       142:{3,4,5,7}:{(100,1),(101,1),(104,1),(186,1),(187,1),(188,1),(271,1),(349,1),(399,1),(400,1),(421,1)}
       143:{3,4,6}:{(101,1),(107,1),(188,1),(189,1),(397,1)}
       144:{2,4,5}:{(101,1),(108,1),(189,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(106,1),(113,1),(173,1),(185,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,6}:{(103,1),(104,1)}
       147:{2,3,5,7}:{(104,1),(105,1),(108,1),(115,1),(175,1),(187,1),(192,1),(193,1),(356,1),(400,1),(418,1)}
       148:{1,3,4,7}:{(105,1),(109,1),(116,1),(176,1),(193,1),(194,1),(199,1),(205,1),(264,1),(276,1),(289,1),(332,1),(340,1),(343,1),(349,1),(350,1),(416,1)}
       149:{3,5,7}:{(106,1),(107,1),(188,1),(191,1),(350,1)}
       150:{2,3,5,6}:{(107,1),(108,1),(110,1),(119,1),(179,1),(189,1),(192,1),(195,1),(196,1),(254,1),(272,1)}
       151:{1,3,5}:{(108,1),(109,1),(120,1),(180,1),(190,1),(197,1),(278,1),(344,1),(358,1),(393,1),(399,1),(417,1)}
       152:{2,4,6}:{(109,1),(112,1),(194,1),(197,1),(198,1),(200,1),(256,1),(280,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(350,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(118,1),(191,1),(202,1),(360,1)}
       158:{2,6}:{(114,1),(115,1),(203,1)}
       159:{1,5,7}:{(115,1),(116,1),(120,1),(203,1)}
       160:{1,2,4,7}:{(116,1),(117,1),(121,1),(194,1),(204,1),(205,1),(289,1),(385,1),(416,1)}
       161:{2,5,7}:{(118,1),(119,1),(122,1),(202,1),(206,1)}
       162:{1,5,6}:{(119,1),(120,1),(123,1),(203,1),(206,1),(344,1),(395,1)}
       163:{1,2,5}:{(120,1),(121,1),(197,1),(208,1),(358,1),(417,1)}
       164:{1,3,6}:{(121,1),(125,1),(198,1),(205,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(206,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(207,1),(209,1),(210,1),(277,1),(286,1),(291,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(135,1),(143,1),(214,1),(215,1),(234,1),(296,1),(316,1)}
       170:{2,4,5}:{(126,1),(127,1),(136,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(134,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,6}:{(130,1),(131,1),(146,1),(219,1)}
       175:{2,5,7}:{(131,1),(132,1),(136,1),(219,1),(220,1)}
       176:{1,4,7}:{(132,1),(133,1),(137,1),(220,1)}
       177:{1,2,7}:{(133,1),(138,1),(363,1)}
       178:{1,3,5,7}:{(134,1),(135,1),(149,1),(214,1),(218,1),(222,1)}
       179:{2,5,6}:{(135,1),(136,1),(215,1),(219,1),(222,1),(223,1),(407,1),(424,1)}
       180:{1,5}:{(136,1),(137,1)}
       181:{1,2,4,6}:{(137,1),(138,1),(139,1),(152,1),(217,1),(221,1),(224,1),(225,1),(226,1),(303,1),(307,1),(309,1),(369,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,5,6}:{(141,1),(228,1),(229,1),(412,1),(425,1)}
       185:{4,6,7}:{(140,1),(141,1),(228,1),(411,1),(425,1)}
       186:{3,4,6}:{(141,1),(142,1),(146,1),(229,1),(231,1),(414,1),(425,1)}
       187:{2,4,5,7}:{(142,1),(144,1),(147,1),(231,1),(232,1),(233,1),(310,1),(320,1),(380,1)}
       188:{3,4,7}:{(143,1),(149,1),(233,1),(411,1)}
       189:{2,4,6}:{(143,1),(144,1),(150,1),(233,1),(234,1)}
       190:{1,4,5}:{(144,1),(151,1),(234,1),(235,1),(251,1),(307,1),(412,1)}
       191:{3,6,7}:{(145,1),(146,1),(149,1),(414,1)}
       192:{2,3,6}:{(146,1),(147,1),(158,1),(219,1),(231,1),(237,1),(382,1),(414,1),(424,1)}
       193:{1,3,5,7}:{(147,1),(148,1),(151,1),(159,1),(220,1),(232,1),(237,1),(238,1),(314,1),(372,1),(423,1)}
       194:{2,4,7}:{(148,1),(152,1),(238,1),(239,1),(243,1),(363,1)}
       195:{2,3,5,7}:{(149,1),(150,1),(153,1),(161,1),(222,1),(233,1),(236,1),(240,1),(295,1),(310,1)}
       196:{1,3,5,6}:{(150,1),(151,1),(154,1),(162,1),(223,1),(234,1),(237,1),(240,1),(241,1),(296,1),(311,1),(316,1),(374,1)}
       197:{2,5}:{(151,1),(152,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(239,1),(242,1),(298,1),(316,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(161,1),(246,1),(382,1)}
       203:{1,6}:{(158,1),(159,1)}
       204:{1,2,5,7}:{(159,1),(160,1),(163,1),(238,1),(247,1),(248,1),(423,1)}
       205:{1,3,7}:{(160,1),(164,1),(239,1)}
       206:{1,5,7}:{(161,1),(162,1),(165,1),(246,1)}
       207:{1,2,5,6}:{(162,1),(163,1),(166,1),(241,1),(247,1),(249,1),(250,1),(324,1),(361,1),(382,1)}
       208:{1,3,5}:{(163,1),(164,1),(242,1),(251,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(249,1),(252,1),(315,1),(323,1),(327,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(316,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(178,1),(188,1),(257,1),(276,1),(332,1),(350,1)}
       215:{2,4,6}:{(169,1),(170,1),(179,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(180,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(178,1),(191,1),(261,1),(419,1)}
       219:{2,6}:{(174,1),(175,1),(262,1)}
       220:{1,5,7}:{(175,1),(176,1),(180,1),(262,1)}
       221:{1,2,4,7}:{(176,1),(177,1),(181,1),(194,1),(263,1),(264,1),(268,1),(340,1),(343,1)}
       222:{2,5,7}:{(178,1),(179,1),(257,1),(261,1),(265,1)}
       223:{1,5,6}:{(179,1),(180,1),(258,1),(262,1),(265,1),(417,1),(426,1)}
       224:{1,2,5}:{(180,1),(181,1),(197,1),(267,1),(344,1),(393,1)}
       225:{1,3,6}:{(181,1),(183,1),(198,1),(260,1),(264,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(185,1),(271,1)}
       229:{3,5,6}:{(184,1),(186,1),(271,1),(272,1),(399,1)}
       230:{3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(271,1),(273,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(272,1),(274,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(274,1),(275,1),(276,1),(289,1),(340,1),(345,1),(358,1),(393,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(276,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(276,1),(277,1),(397,1)}
       235:{2,4,5}:{(190,1),(197,1),(277,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(202,1),(261,1),(273,1),(279,1)}
       237:{1,3,6}:{(192,1),(193,1),(203,1),(262,1),(274,1),(280,1),(348,1),(395,1),(426,1)}
       238:{2,5,7}:{(193,1),(194,1),(197,1),(280,1)}
       239:{2,3,7}:{(194,1),(198,1),(205,1),(264,1),(350,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(199,1),(206,1),(265,1),(276,1),(279,1),(282,1),(332,1),(345,1),(350,1),(396,1)}
       241:{2,5,6}:{(196,1),(197,1),(200,1),(277,1),(280,1),(282,1),(333,1)}
       242:{2,3,5}:{(197,1),(198,1),(208,1),(267,1),(278,1),(284,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(206,1),(395,1)}
       247:{1,2,6}:{(203,1),(204,1),(280,1),(288,1),(426,1)}
       248:{1,3,5,7}:{(204,1),(205,1),(208,1),(281,1),(288,1),(289,1),(358,1)}
       249:{1,2,5,7}:{(206,1),(207,1),(209,1),(282,1),(287,1),(290,1),(356,1),(385,1)}
       250:{1,3,5,6}:{(207,1),(208,1),(210,1),(283,1),(288,1),(290,1),(291,1),(293,1),(358,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       251:{1,4}:{(208,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(350,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(291,1),(292,1),(293,1),(351,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(316,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(222,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(223,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(224,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(371,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(222,1),(302,1),(424,1)}
       262:{1,6}:{(219,1),(220,1)}
       263:{1,2,5,7}:{(220,1),(221,1),(224,1),(238,1),(303,1),(304,1),(372,1)}
       264:{1,3,7}:{(221,1),(225,1),(239,1)}
       265:{1,5,7}:{(222,1),(223,1),(299,1),(302,1)}
       266:{1,2,5,6}:{(223,1),(224,1),(226,1),(241,1),(300,1),(303,1),(305,1),(306,1),(407,1),(424,1)}
       267:{1,3,5}:{(224,1),(225,1),(242,1),(307,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(230,1),(310,1)}
       272:{2,5,6}:{(229,1),(231,1),(310,1),(311,1),(380,1)}
       273:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(310,1),(312,1)}
       274:{1,4,6}:{(231,1),(232,1),(237,1),(311,1),(313,1)}
       275:{2,4,5,7}:{(232,1),(235,1),(238,1),(313,1),(314,1),(315,1),(320,1),(373,1),(380,1),(411,1),(412,1)}
       276:{1,4,7}:{(233,1),(234,1),(240,1),(315,1),(411,1)}
       277:{2,4,6}:{(234,1),(235,1),(241,1),(315,1),(316,1)}
       278:{3,5}:{(235,1),(316,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(240,1),(246,1),(302,1),(312,1),(318,1),(375,1)}
       280:{2,6}:{(237,1),(238,1)}
       281:{2,3,5,7}:{(238,1),(239,1),(242,1),(248,1),(304,1),(314,1),(319,1),(320,1),(380,1)}
       282:{2,5,7}:{(240,1),(241,1),(243,1),(315,1),(318,1),(363,1)}
       283:{2,3,5,6}:{(241,1),(242,1),(244,1),(250,1),(306,1),(316,1),(319,1),(321,1),(322,1),(324,1),(364,1),(374,1),(378,1),(380,1),(382,1),(407,1),(414,1),(415,1),(424,1)}
       284:{2,4}:{(242,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,6}:{(247,1),(248,1),(319,1),(326,1)}
       289:{1,4,7}:{(248,1),(251,1),(320,1),(326,1)}
       290:{1,3,5,7}:{(249,1),(250,1),(252,1),(321,1),(325,1),(327,1),(383,1),(404,1),(423,1)}
       291:{1,4,6}:{(250,1),(251,1),(322,1),(327,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(327,1),(329,1),(377,1)}
       293:{1,3,5}:{(253,1),(324,1),(328,1),(378,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(350,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(265,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(266,1),(277,1),(333,1),(335,1),(336,1),(342,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(265,1),(426,1)}
       303:{1,2,6}:{(262,1),(263,1),(280,1),(339,1),(395,1)}
       304:{1,3,5,7}:{(263,1),(264,1),(267,1),(281,1),(339,1),(340,1),(393,1)}
       305:{1,2,5,7}:{(265,1),(266,1),(268,1),(282,1),(335,1),(338,1),(341,1),(418,1)}
       306:{1,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(336,1),(339,1),(341,1),(342,1),(344,1),(391,1),(393,1),(395,1),(419,1),(420,1)}
       307:{1,4}:{(267,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(273,1),(345,1)}
       311:{1,5,6}:{(272,1),(274,1),(345,1),(346,1),(358,1),(393,1)}
       312:{1,4,6,7}:{(273,1),(274,1),(276,1),(279,1),(345,1),(347,1)}
       313:{2,4,6}:{(274,1),(275,1),(280,1),(346,1),(348,1),(397,1)}
       314:{3,5,7}:{(275,1),(278,1),(348,1),(349,1),(350,1),(399,1)}
       315:{2,4,7}:{(276,1),(277,1),(282,1),(350,1)}
       316:{3,6}:{(277,1),(278,1),(350,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,6}:{(280,1),(281,1),(288,1),(339,1),(348,1),(353,1)}
       320:{2,4,7}:{(281,1),(284,1),(289,1),(340,1),(349,1),(353,1)}
       321:{2,3,5,7}:{(282,1),(283,1),(285,1),(290,1),(341,1),(350,1),(352,1),(354,1),(356,1),(388,1),(396,1),(400,1),(401,1),(418,1)}
       322:{2,4,6}:{(283,1),(284,1),(291,1),(342,1),(351,1),(354,1),(355,1),(397,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,6}:{(288,1),(289,1),(353,1),(358,1)}
       327:{1,4,7}:{(290,1),(291,1),(354,1)}
       328:{1,4,5}:{(291,1),(293,1),(355,1),(358,1),(417,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(359,1),(360,1),(400,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(305,1),(315,1),(363,1),(366,1),(370,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(316,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,6}:{(303,1),(304,1),(319,1),(369,1)}
       340:{1,4,7}:{(304,1),(307,1),(320,1),(369,1)}
       341:{1,3,5,7}:{(305,1),(306,1),(308,1),(321,1),(366,1),(368,1),(370,1),(372,1),(409,1)}
       342:{1,4,6}:{(306,1),(307,1),(322,1),(370,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(312,1),(373,1)}
       346:{2,5,6}:{(311,1),(313,1),(373,1),(374,1),(380,1)}
       347:{2,4,6,7}:{(312,1),(313,1),(315,1),(318,1),(373,1),(375,1),(411,1)}
       348:{3,6}:{(313,1),(314,1)}
       349:{3,4,7}:{(314,1),(317,1),(320,1),(376,1),(411,1)}
       350:{3,7}:{(315,1),(316,1)}
       351:{3,4,6}:{(316,1),(317,1),(322,1),(377,1),(378,1),(414,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(375,1),(379,1),(382,1),(414,1),(424,1)}
       353:{2,4,6}:{(319,1),(320,1),(326,1),(369,1),(376,1),(380,1)}
       354:{2,4,7}:{(321,1),(322,1),(327,1),(370,1),(377,1),(411,1)}
       355:{2,4,5}:{(322,1),(324,1),(328,1),(371,1),(378,1),(380,1),(407,1),(412,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(327,1),(379,1),(383,1),(384,1)}
       358:{1,5}:{(326,1),(380,1)}
       359:{1,4,5,7}:{(327,1),(328,1),(329,1),(381,1),(383,1),(384,1),(423,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(414,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(350,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(342,1),(351,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,6}:{(339,1),(340,1),(353,1),(393,1)}
       370:{1,4,7}:{(341,1),(342,1),(354,1)}
       371:{1,4,5}:{(342,1),(344,1),(355,1),(391,1),(393,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(347,1),(396,1)}
       374:{3,5,6}:{(346,1),(348,1),(396,1),(397,1),(399,1)}
       375:{3,6,7}:{(347,1),(348,1),(350,1),(396,1)}
       376:{3,4,6}:{(348,1),(349,1),(353,1),(397,1),(399,1)}
       377:{3,4,7}:{(350,1),(351,1),(354,1),(400,1)}
       378:{3,5}:{(351,1),(355,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(354,1),(357,1),(392,1),(398,1),(401,1),(402,1)}
       380:{2,5}:{(353,1),(358,1),(393,1),(399,1)}
       381:{2,4,5,7}:{(354,1),(355,1),(356,1),(359,1),(394,1),(400,1),(401,1),(402,1),(418,1),(421,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(358,1),(401,1),(403,1)}
       384:{1,4,6}:{(359,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(370,1),(377,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(371,1),(378,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(370,1),(379,1),(409,1),(410,1)}
       393:{1,5}:{(369,1),(380,1)}
       394:{1,4,5,7}:{(370,1),(371,1),(372,1),(381,1),(408,1),(409,1),(410,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(375,1),(411,1)}
       397:{4,6}:{(374,1),(411,1),(412,1)}
       398:{3,4,6,7}:{(375,1),(376,1),(377,1),(379,1),(411,1),(413,1),(414,1),(425,1)}
       399:{3,5}:{(376,1),(380,1),(412,1)}
       400:{3,5,7}:{(377,1),(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(380,1),(383,1),(409,1),(413,1),(415,1)}
       402:{2,4,6}:{(381,1),(382,1),(384,1),(410,1),(414,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(393,1),(401,1),(420,1)}
       410:{1,4,6}:{(394,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(397,1)}
       412:{4,5}:{(397,1),(399,1)}
       413:{3,5,7}:{(398,1),(399,1),(401,1),(421,1),(422,1)}
       414:{3,6}:{(400,1),(402,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(414,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(413,1),(425,1)}
       422:{3,5,6}:{(413,1),(414,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

1039 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1040 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1041 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1042 :   0:{1,2,5,6,7}:{(1,1),(2,1),(40,1),(75,1),(86,1),(129,1),(134,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(23,1),(51,1),(99,1),(105,1),(158,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(114,1),(161,1),(169,1)}
         3:{1,2,5,6,7}:{(8,1),(9,1),(44,1),(71,1),(89,1),(126,1),(134,1)}
         4:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(15,1),(32,1),(34,1),(40,1),(71,1),(77,1),(134,1),(136,1),(188,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(12,1),(133,1),(185,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(14,1),(40,1),(42,1),(88,1),(129,1),(135,1),(144,1),(147,1),(185,1)}
         7:{1,3,6,7}:{(2,1),(14,1),(15,1),(141,1),(188,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(16,1),(18,1),(27,1),(47,1),(62,1),(105,1),(118,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(48,1),(154,1),(161,1),(205,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(104,1),(161,1),(164,1)}
        11:{1,2,4,5,6}:{(6,1),(21,1),(22,1),(57,1),(60,1),(110,1),(114,1),(155,1),(161,1),(165,1),(167,1),(169,1),(207,1),(213,1),(240,1)}
        12:{1,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(99,1)}
        13:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(25,1),(59,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(21,1),(25,1),(26,1),(163,1),(175,1)}
        15:{2,3,6,7}:{(7,1),(24,1),(26,1),(27,1),(113,1),(169,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(133,1),(146,1)}
        17:{1,2,4,5,7}:{(9,1),(28,1),(29,1),(31,1),(71,1),(73,1),(89,1),(128,1),(135,1),(146,1),(183,1),(186,1)}
        18:{1,3,6,7}:{(9,1),(31,1),(32,1),(180,1),(188,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(29,1),(33,1),(34,1),(40,1),(71,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(76,1),(188,1),(190,1)}
        21:{1,3,5,6}:{(11,1),(14,1),(36,1),(37,1),(137,1),(141,1),(188,1),(194,1),(230,1)}
        22:{1,4,5,6}:{(12,1),(33,1),(38,1),(126,1),(133,1),(198,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(34,1),(38,1),(40,1)}
        24:{2,4,6,7}:{(13,1),(15,1),(40,1),(41,1),(42,1),(85,1)}
        25:{1,3,4,7}:{(14,1),(36,1),(42,1),(185,1),(190,1)}
        26:{2,3,5,7}:{(14,1),(15,1),(37,1),(40,1),(42,1),(43,1),(144,1),(148,1)}
        27:{1,3,6,7}:{(15,1),(41,1),(43,1),(44,1),(141,1)}
        28:{1,2,4,5,6}:{(17,1),(45,1),(46,1),(94,1),(97,1),(115,1),(150,1),(154,1),(161,1),(171,1),(201,1),(203,1),(205,1),(213,1),(244,1)}
        29:{1,4,5,7}:{(16,1),(19,1),(46,1),(47,1),(62,1)}
        30:{1,3,4,6,7}:{(16,1),(18,1),(20,1),(47,1),(48,1),(49,1),(96,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(45,1),(49,1),(50,1),(163,1),(211,1)}
        32:{2,3,6,7}:{(18,1),(48,1),(50,1),(51,1),(153,1),(205,1)}
        33:{2,4,5,6}:{(19,1),(22,1),(46,1),(52,1),(60,1),(97,1),(104,1),(161,1),(213,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(24,1),(48,1),(54,1),(55,1),(64,1),(101,1),(104,1),(108,1),(113,1),(153,1),(164,1),(212,1),(217,1),(237,1)}
        36:{1,3,4,6}:{(21,1),(25,1),(56,1),(57,1),(207,1),(212,1)}
        37:{2,3,5,6}:{(21,1),(26,1),(57,1),(58,1),(60,1),(109,1),(113,1),(165,1),(168,1),(169,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(52,1),(59,1),(60,1),(218,1)}
        39:{1,3,4,5,7}:{(23,1),(25,1),(53,1),(56,1),(59,1),(61,1),(106,1),(116,1),(163,1),(174,1),(218,1)}
        40:{2,5,7}:{(23,1),(24,1),(60,1),(62,1)}
        41:{1,4,6,7}:{(24,1),(27,1),(62,1),(65,1),(114,1)}
        42:{2,4,7}:{(25,1),(26,1),(57,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(58,1),(62,1),(65,1),(66,1),(120,1)}
        44:{1,2,6,7}:{(27,1),(66,1),(169,1)}
        45:{1,3,5,6}:{(28,1),(31,1),(67,1),(68,1),(176,1),(180,1),(188,1),(223,1),(230,1)}
        46:{1,4,5,6}:{(29,1),(33,1),(69,1),(86,1),(133,1),(227,1)}
        47:{1,3,5,7}:{(29,1),(30,1),(34,1),(69,1),(71,1)}
        48:{2,4,6,7}:{(30,1),(32,1),(71,1),(72,1),(73,1),(125,1)}
        49:{1,3,4,7}:{(31,1),(67,1),(73,1),(146,1),(190,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(68,1),(71,1),(73,1),(74,1),(183,1),(187,1)}
        51:{1,3,6,7}:{(32,1),(72,1),(74,1),(75,1),(180,1)}
        52:{3,5,6}:{(33,1),(34,1),(76,1),(188,1),(230,1)}
        53:{3,4,5,7}:{(34,1),(76,1),(78,1),(190,1),(230,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(40,1),(71,1),(77,1),(78,1),(79,1),(230,1),(233,1),(243,1)}
        55:{1,3,4,6,7}:{(35,1),(41,1),(72,1),(79,1),(80,1),(90,1),(91,1),(130,1),(131,1),(133,1),(141,1),(146,1),(180,1),(185,1),(188,1),(190,1),(197,1),(226,1),(232,1),(242,1)}
        56:{1,3,4,5}:{(36,1),(81,1),(137,1),(193,1),(227,1),(230,1)}
        57:{2,4,6}:{(36,1),(37,1),(42,1),(81,1),(83,1)}
        58:{1,3,5,6}:{(37,1),(43,1),(83,1),(84,1),(86,1),(137,1),(140,1),(141,1)}
        59:{1,3,4,6}:{(38,1),(39,1),(76,1),(85,1),(133,1),(141,1),(188,1)}
        60:{2,5,6}:{(38,1),(40,1),(85,1),(86,1),(233,1)}
        61:{2,4,5,7}:{(39,1),(40,1),(42,1),(81,1),(85,1),(87,1),(88,1),(144,1),(200,1),(233,1)}
        62:{1,5,7}:{(40,1),(41,1),(86,1)}
        63:{1,2,4,6,7}:{(41,1),(44,1),(80,1),(89,1),(90,1),(92,1),(142,1),(146,1),(186,1),(224,1),(242,1)}
        64:{2,3,4,7}:{(42,1),(82,1),(87,1),(91,1),(148,1),(190,1),(200,1)}
        65:{1,4,7}:{(42,1),(43,1),(83,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(84,1),(92,1),(144,1)}
        67:{1,3,4,6}:{(45,1),(49,1),(93,1),(94,1),(171,1),(212,1)}
        68:{2,3,5,6}:{(45,1),(50,1),(94,1),(95,1),(97,1),(149,1),(153,1),(201,1),(204,1),(205,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(52,1),(96,1),(97,1),(238,1)}
        70:{1,3,4,5,7}:{(47,1),(49,1),(53,1),(93,1),(96,1),(98,1),(106,1),(156,1),(163,1),(210,1),(238,1)}
        71:{2,5,7}:{(47,1),(48,1),(97,1),(99,1)}
        72:{1,4,6,7}:{(48,1),(51,1),(99,1),(102,1),(154,1)}
        73:{2,4,7}:{(49,1),(50,1),(94,1),(102,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(95,1),(99,1),(102,1),(103,1),(160,1)}
        75:{1,2,6,7}:{(51,1),(103,1),(205,1)}
        76:{3,4,6}:{(52,1),(53,1),(104,1)}
        77:{2,3,5,6}:{(52,1),(54,1),(60,1),(97,1),(104,1),(105,1),(113,1),(153,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(104,1),(106,1),(164,1),(213,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(62,1),(99,1),(105,1),(106,1),(107,1),(163,1),(218,1),(238,1),(240,1),(244,1)}
        80:{2,4,6,7}:{(55,1),(107,1),(108,1),(119,1),(159,1),(161,1),(164,1),(169,1),(205,1),(217,1),(237,1)}
        81:{2,4,5}:{(56,1),(57,1),(109,1),(110,1),(165,1),(215,1)}
        82:{2,3,4,6}:{(57,1),(64,1),(109,1),(111,1),(113,1),(168,1),(212,1),(215,1),(217,1)}
        83:{1,4,6}:{(57,1),(58,1),(65,1),(110,1)}
        84:{1,2,5,6}:{(58,1),(66,1),(112,1),(165,1),(169,1)}
        85:{2,4,6}:{(59,1),(60,1),(61,1),(113,1),(114,1),(169,1)}
        86:{1,5,6}:{(60,1),(62,1),(114,1),(240,1)}
        87:{2,3,5,7}:{(61,1),(64,1),(109,1),(113,1),(116,1),(163,1)}
        88:{1,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(114,1),(116,1),(219,1),(240,1)}
        89:{1,2,5,7}:{(62,1),(63,1),(107,1),(115,1),(118,1),(244,1)}
        90:{1,3,6,7}:{(63,1),(108,1),(118,1),(120,1),(170,1),(211,1),(236,1)}
        91:{1,3,4,7}:{(64,1),(65,1),(111,1),(116,1),(119,1),(120,1),(175,1),(219,1)}
        92:{1,2,4,7}:{(65,1),(66,1),(112,1),(119,1),(120,1)}
        93:{1,3,4,5}:{(67,1),(121,1),(176,1),(198,1),(222,1),(230,1)}
        94:{2,4,6}:{(67,1),(68,1),(73,1),(121,1),(123,1)}
        95:{1,3,5,6}:{(68,1),(74,1),(123,1),(124,1),(126,1),(176,1),(179,1),(180,1)}
        96:{1,3,4,6}:{(69,1),(70,1),(76,1),(125,1),(133,1),(180,1),(188,1)}
        97:{2,5,6}:{(69,1),(71,1),(125,1),(126,1),(243,1)}
        98:{2,4,5,7}:{(70,1),(71,1),(73,1),(121,1),(125,1),(127,1),(128,1),(183,1),(229,1),(243,1)}
        99:{1,5,7}:{(71,1),(72,1),(126,1)}
       100:{1,2,4,6,7}:{(72,1),(75,1),(80,1),(129,1),(130,1),(132,1),(147,1),(181,1),(185,1),(195,1),(232,1)}
       101:{2,3,4,7}:{(73,1),(122,1),(127,1),(131,1),(187,1),(190,1),(229,1)}
       102:{1,4,7}:{(73,1),(74,1),(123,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(124,1),(132,1),(183,1)}
       104:{2,4,6}:{(76,1),(77,1),(78,1),(133,1)}
       105:{1,3,5,6}:{(77,1),(79,1),(86,1),(126,1),(133,1),(134,1),(141,1),(180,1),(188,1)}
       106:{1,4,5,7}:{(78,1),(79,1),(133,1),(135,1),(146,1),(185,1),(198,1),(227,1)}
       107:{2,5,7}:{(79,1),(80,1),(134,1),(233,1),(243,1)}
       108:{2,3,6,7}:{(80,1),(90,1),(130,1),(136,1),(148,1),(187,1),(188,1),(196,1),(225,1)}
       109:{2,3,5}:{(81,1),(82,1),(137,1),(230,1),(233,1)}
       110:{1,4,5}:{(81,1),(83,1),(137,1),(231,1)}
       111:{1,3,4,6}:{(82,1),(83,1),(91,1),(137,1),(139,1),(140,1),(141,1),(193,1),(194,1),(231,1),(232,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(92,1),(138,1),(139,1),(140,1)}
       113:{2,3,6}:{(85,1),(87,1),(141,1),(188,1)}
       114:{1,4,6}:{(85,1),(86,1),(88,1),(141,1)}
       115:{1,2,5,6}:{(86,1),(89,1),(134,1),(142,1),(143,1),(224,1),(233,1)}
       116:{1,3,5,7}:{(87,1),(88,1),(91,1),(137,1),(141,1),(144,1)}
       117:{1,2,4,5,7}:{(88,1),(89,1),(92,1),(135,1),(138,1),(142,1),(144,1),(145,1),(146,1),(198,1),(200,1),(233,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(136,1),(143,1),(146,1)}
       119:{2,4,7}:{(91,1),(139,1),(144,1),(148,1)}
       120:{1,3,7}:{(92,1),(140,1),(148,1)}
       121:{2,4,5}:{(93,1),(94,1),(149,1),(150,1),(201,1),(235,1)}
       122:{2,3,4,6}:{(94,1),(101,1),(149,1),(151,1),(153,1),(204,1),(212,1),(235,1),(237,1)}
       123:{1,4,6}:{(94,1),(95,1),(102,1),(150,1)}
       124:{1,2,5,6}:{(95,1),(103,1),(152,1),(201,1),(205,1)}
       125:{2,4,6}:{(96,1),(97,1),(98,1),(153,1),(154,1),(205,1)}
       126:{1,5,6}:{(97,1),(99,1),(154,1),(244,1)}
       127:{2,3,5,7}:{(98,1),(101,1),(149,1),(153,1),(156,1),(163,1)}
       128:{1,4,5,7}:{(98,1),(99,1),(102,1),(150,1),(154,1),(156,1),(239,1),(244,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(107,1),(155,1),(158,1),(240,1)}
       130:{1,3,6,7}:{(100,1),(108,1),(158,1),(160,1),(175,1),(206,1),(216,1)}
       131:{1,3,4,7}:{(101,1),(102,1),(151,1),(156,1),(159,1),(160,1),(211,1),(239,1)}
       132:{1,2,4,7}:{(102,1),(103,1),(152,1),(159,1),(160,1)}
       133:{1,4,6}:{(104,1),(105,1),(106,1),(161,1)}
       134:{2,5,6}:{(105,1),(107,1),(161,1),(169,1),(205,1)}
       135:{2,4,5,7}:{(106,1),(107,1),(161,1),(163,1),(164,1),(213,1)}
       136:{2,3,5,7}:{(107,1),(108,1),(118,1),(158,1),(162,1),(163,1),(164,1)}
       137:{1,3,5}:{(109,1),(110,1),(111,1),(165,1),(240,1)}
       138:{1,2,4,5}:{(110,1),(112,1),(165,1),(166,1),(215,1)}
       139:{2,4,6}:{(111,1),(119,1),(165,1),(168,1),(169,1),(215,1)}
       140:{1,3,6}:{(112,1),(120,1),(166,1),(168,1)}
       141:{1,3,6}:{(113,1),(114,1),(116,1),(169,1)}
       142:{1,2,4,6}:{(114,1),(115,1),(117,1),(161,1),(169,1),(170,1),(171,1),(217,1)}
       143:{1,3,5,6}:{(115,1),(118,1),(162,1),(170,1),(171,1),(218,1),(236,1),(244,1)}
       144:{2,5,7}:{(116,1),(119,1),(165,1),(169,1)}
       145:{1,3,5,7}:{(117,1),(120,1),(163,1),(166,1),(170,1),(173,1),(174,1),(218,1)}
       146:{1,4,7}:{(118,1),(164,1),(171,1)}
       147:{1,2,4,7}:{(119,1),(167,1),(172,1),(175,1),(219,1)}
       148:{2,3,7}:{(119,1),(120,1),(168,1),(175,1)}
       149:{2,3,5}:{(121,1),(122,1),(176,1),(230,1),(243,1)}
       150:{1,4,5}:{(121,1),(123,1),(176,1),(241,1)}
       151:{1,3,4,6}:{(122,1),(123,1),(131,1),(176,1),(178,1),(179,1),(180,1),(222,1),(223,1),(241,1),(242,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(132,1),(177,1),(178,1),(179,1)}
       153:{2,3,6}:{(125,1),(127,1),(180,1),(188,1)}
       154:{1,4,6}:{(125,1),(126,1),(128,1),(180,1)}
       155:{1,2,5,6}:{(126,1),(129,1),(134,1),(181,1),(182,1),(195,1),(243,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(131,1),(176,1),(180,1),(183,1)}
       157:{1,2,4,5,7}:{(128,1),(129,1),(132,1),(135,1),(177,1),(181,1),(183,1),(184,1),(185,1),(227,1),(229,1),(243,1)}
       158:{1,3,5,7}:{(129,1),(130,1),(136,1),(182,1),(185,1)}
       159:{2,4,7}:{(131,1),(178,1),(183,1),(187,1)}
       160:{1,3,7}:{(132,1),(179,1),(187,1)}
       161:{2,4,6}:{(133,1),(134,1),(135,1),(188,1)}
       162:{2,3,5,6}:{(134,1),(136,1),(143,1),(182,1),(188,1),(189,1),(196,1),(225,1),(230,1),(233,1),(243,1)}
       163:{3,5,7}:{(135,1),(188,1),(190,1),(230,1)}
       164:{2,4,7}:{(136,1),(146,1),(185,1),(189,1),(190,1)}
       165:{2,5}:{(137,1),(139,1)}
       166:{1,3,5}:{(138,1),(140,1),(192,1),(193,1)}
       167:{1,2,4,6}:{(139,1),(147,1),(191,1),(194,1),(195,1),(231,1),(232,1)}
       168:{2,3,6}:{(139,1),(140,1),(148,1),(192,1),(194,1)}
       169:{2,6}:{(141,1),(144,1)}
       170:{1,3,6}:{(142,1),(145,1),(188,1),(196,1)}
       171:{1,4,6}:{(143,1),(146,1),(189,1),(198,1)}
       172:{1,2,5,7}:{(144,1),(147,1),(191,1),(195,1),(199,1)}
       173:{2,3,5,7}:{(144,1),(145,1),(148,1),(192,1),(196,1),(199,1),(200,1),(233,1)}
       174:{1,3,4,7}:{(145,1),(146,1),(190,1),(193,1),(197,1),(200,1)}
       175:{1,3,7}:{(147,1),(148,1),(194,1)}
       176:{1,3,5}:{(149,1),(150,1),(151,1),(201,1),(244,1)}
       177:{1,2,4,5}:{(150,1),(152,1),(201,1),(202,1),(235,1)}
       178:{2,4,6}:{(151,1),(159,1),(201,1),(204,1),(205,1),(235,1)}
       179:{1,3,6}:{(152,1),(160,1),(202,1),(204,1)}
       180:{1,3,6}:{(153,1),(154,1),(156,1),(205,1)}
       181:{1,2,4,6}:{(154,1),(155,1),(157,1),(161,1),(205,1),(206,1),(207,1),(237,1)}
       182:{1,3,5,6}:{(155,1),(158,1),(162,1),(206,1),(207,1),(216,1),(238,1),(240,1)}
       183:{2,5,7}:{(156,1),(159,1),(201,1),(205,1)}
       184:{1,3,5,7}:{(157,1),(160,1),(163,1),(202,1),(206,1),(209,1),(210,1),(238,1)}
       185:{1,4,7}:{(158,1),(164,1),(207,1)}
       186:{1,2,4,7}:{(159,1),(203,1),(208,1),(211,1),(239,1)}
       187:{2,3,7}:{(159,1),(160,1),(204,1),(211,1)}
       188:{3,6}:{(161,1),(163,1)}
       189:{2,4,6}:{(162,1),(164,1),(171,1),(207,1),(212,1),(213,1)}
       190:{3,4,7}:{(163,1),(164,1),(212,1)}
       191:{1,2,5}:{(165,1),(167,1),(214,1),(240,1)}
       192:{2,3,5}:{(165,1),(166,1),(168,1),(214,1),(215,1)}
       193:{1,3,4}:{(166,1),(215,1)}
       194:{1,3,6}:{(167,1),(168,1),(175,1),(214,1)}
       195:{1,2,6}:{(169,1),(172,1),(216,1)}
       196:{2,3,6}:{(169,1),(170,1),(173,1),(216,1),(217,1)}
       197:{1,3,4,6}:{(170,1),(171,1),(174,1),(212,1),(217,1),(218,1)}
       198:{1,4,5}:{(171,1),(213,1),(218,1),(244,1)}
       199:{1,3,5,7}:{(172,1),(173,1),(175,1),(214,1),(216,1),(219,1),(240,1)}
       200:{2,4,7}:{(173,1),(174,1),(215,1),(217,1),(219,1)}
       201:{2,5}:{(176,1),(178,1)}
       202:{1,3,5}:{(177,1),(179,1),(221,1),(222,1)}
       203:{1,2,4,6}:{(178,1),(186,1),(220,1),(223,1),(224,1),(241,1),(242,1)}
       204:{2,3,6}:{(178,1),(179,1),(187,1),(221,1),(223,1)}
       205:{2,6}:{(180,1),(183,1)}
       206:{1,3,6}:{(181,1),(184,1),(188,1),(225,1)}
       207:{1,4,6}:{(182,1),(185,1),(189,1),(227,1)}
       208:{1,2,5,7}:{(183,1),(186,1),(220,1),(224,1),(228,1)}
       209:{2,3,5,7}:{(183,1),(184,1),(187,1),(221,1),(225,1),(228,1),(229,1),(243,1)}
       210:{1,3,4,7}:{(184,1),(185,1),(190,1),(222,1),(226,1),(229,1)}
       211:{1,3,7}:{(186,1),(187,1),(223,1)}
       212:{3,4,6}:{(188,1),(189,1),(190,1),(230,1)}
       213:{2,4,5}:{(189,1),(198,1),(227,1),(230,1),(233,1),(243,1)}
       214:{1,3,5}:{(191,1),(192,1),(194,1),(231,1)}
       215:{2,4}:{(192,1),(193,1),(231,1)}
       216:{1,3,6}:{(195,1),(196,1),(199,1),(232,1)}
       217:{2,4,6}:{(196,1),(197,1),(200,1),(232,1),(233,1)}
       218:{1,3,5}:{(197,1),(198,1),(230,1),(233,1)}
       219:{1,4,7}:{(199,1),(200,1),(231,1),(232,1)}
       220:{1,2,5}:{(201,1),(203,1),(234,1),(244,1)}
       221:{2,3,5}:{(201,1),(202,1),(204,1),(234,1),(235,1)}
       222:{1,3,4}:{(202,1),(235,1)}
       223:{1,3,6}:{(203,1),(204,1),(211,1),(234,1)}
       224:{1,2,6}:{(205,1),(208,1),(236,1)}
       225:{2,3,6}:{(205,1),(206,1),(209,1),(236,1),(237,1)}
       226:{1,3,4,6}:{(206,1),(207,1),(210,1),(212,1),(237,1),(238,1)}
       227:{1,4,5}:{(207,1),(213,1),(238,1),(240,1)}
       228:{1,3,5,7}:{(208,1),(209,1),(211,1),(234,1),(236,1),(239,1),(244,1)}
       229:{2,4,7}:{(209,1),(210,1),(235,1),(237,1),(239,1)}
       230:{3,5}:{(212,1),(213,1)}
       231:{1,4}:{(214,1),(215,1)}
       232:{1,4,6}:{(216,1),(217,1),(219,1),(240,1)}
       233:{2,5}:{(217,1),(218,1),(240,1)}
       234:{1,3,5}:{(220,1),(221,1),(223,1),(241,1)}
       235:{2,4}:{(221,1),(222,1),(241,1)}
       236:{1,3,6}:{(224,1),(225,1),(228,1),(242,1)}
       237:{2,4,6}:{(225,1),(226,1),(229,1),(242,1),(243,1)}
       238:{1,3,5}:{(226,1),(227,1),(230,1),(243,1)}
       239:{1,4,7}:{(228,1),(229,1),(241,1),(242,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(239,1),(244,1)}
       243:{2,5}:{(237,1),(238,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1043 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(17,1),(36,1),(39,1),(45,1),(46,1),(73,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(25,1),(52,1),(56,1),(58,1),(59,1),(81,1),(84,1)}
         2:{2,4,6}:{(0,1),(5,1),(7,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(53,1),(57,1)}
         4:{2,5,6}:{(1,1),(11,1),(12,1),(39,1),(69,1),(73,1)}
         5:{1,4,6}:{(1,1),(2,1),(11,1),(13,1),(15,1),(91,1)}
         6:{1,3,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(37,1),(44,1),(70,1),(71,1),(72,1)}
         7:{2,4,5}:{(2,1),(13,1),(17,1),(39,1),(85,1)}
         8:{3,4,6}:{(2,1),(17,1),(19,1),(45,1)}
         9:{2,4,7}:{(2,1),(3,1),(15,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(20,1),(45,1),(73,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        12:{2,5,7}:{(4,1),(6,1),(23,1),(24,1),(82,1)}
        13:{1,4,5}:{(5,1),(7,1),(21,1),(25,1),(56,1),(75,1),(96,1),(104,1)}
        14:{1,3,4,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(48,1),(52,1),(58,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        15:{1,4,7}:{(5,1),(6,1),(9,1),(23,1),(83,1)}
        16:{1,3,6,7}:{(6,1),(10,1),(24,1),(29,1),(54,1),(58,1),(84,1)}
        17:{3,5}:{(7,1),(8,1),(92,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(26,1),(30,1),(31,1),(33,1),(57,1),(62,1),(93,1),(102,1),(104,1)}
        19:{3,4,7}:{(8,1),(9,1),(30,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(13,1),(34,1),(39,1),(63,1)}
        22:{3,6}:{(11,1),(34,1),(37,1)}
        23:{2,4,7}:{(11,1),(12,1),(15,1),(37,1)}
        24:{2,6,7}:{(12,1),(16,1),(73,1)}
        25:{1,3,5}:{(13,1),(14,1),(17,1),(34,1),(39,1),(88,1),(100,1),(103,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(18,1),(35,1),(40,1),(41,1),(44,1),(72,1),(86,1),(100,1)}
        27:{2,4,6}:{(14,1),(36,1),(39,1),(42,1),(43,1),(63,1),(69,1),(73,1),(85,1)}
        28:{1,3,4,7}:{(14,1),(15,1),(19,1),(37,1),(40,1),(43,1),(64,1),(70,1),(86,1),(98,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(20,1),(38,1),(41,1),(44,1)}
        30:{3,5,7}:{(17,1),(18,1),(19,1),(45,1),(98,1),(103,1)}
        31:{2,4,6}:{(18,1),(41,1),(45,1),(46,1),(73,1),(74,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(45,1),(47,1),(74,1)}
        33:{2,5,7}:{(20,1),(44,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(22,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(26,1),(50,1),(51,1),(55,1),(57,1),(76,1),(83,1),(95,1),(96,1)}
        36:{2,3,6}:{(22,1),(27,1),(49,1),(52,1),(53,1),(92,1),(101,1)}
        37:{3,7}:{(22,1),(23,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(29,1),(51,1),(54,1),(55,1),(83,1)}
        39:{2,5}:{(25,1),(27,1),(56,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(28,1),(30,1),(50,1),(57,1),(58,1)}
        41:{1,4,6}:{(26,1),(31,1),(51,1),(58,1),(59,1),(84,1)}
        42:{1,4,6}:{(27,1),(52,1),(56,1),(60,1),(75,1),(84,1)}
        43:{2,4,7}:{(27,1),(28,1),(53,1),(57,1),(60,1),(82,1)}
        44:{1,5,7}:{(29,1),(33,1),(55,1),(59,1)}
        45:{3,6}:{(30,1),(31,1)}
        46:{2,5,6}:{(31,1),(33,1),(59,1),(61,1),(102,1)}
        47:{3,5,7}:{(32,1),(33,1),(61,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(39,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(37,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(41,1),(67,1),(68,1),(73,1),(91,1)}
        52:{1,3,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
        53:{2,3,7}:{(36,1),(37,1),(43,1),(70,1),(98,1)}
        54:{3,6,7}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,5,7}:{(38,1),(44,1),(68,1),(71,1)}
        56:{1,5}:{(39,1),(42,1)}
        57:{2,5,7}:{(39,1),(40,1),(43,1),(72,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(45,1),(67,1),(73,1)}
        59:{1,5,6}:{(41,1),(44,1),(46,1),(68,1),(100,1)}
        60:{1,4,7}:{(42,1),(43,1),(70,1),(72,1)}
        61:{3,5,6}:{(45,1),(46,1),(47,1),(74,1),(103,1)}
        62:{4,5,7}:{(47,1),(74,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(83,1)}
        65:{1,3,5}:{(49,1),(52,1),(56,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(57,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(59,1),(81,1),(95,1)}
        69:{2,6}:{(52,1),(78,1),(82,1)}
        70:{1,3,7}:{(52,1),(53,1),(60,1),(82,1)}
        71:{3,5,7}:{(54,1),(55,1),(81,1),(83,1)}
        72:{1,5,7}:{(56,1),(57,1),(60,1),(84,1)}
        73:{2,6}:{(57,1),(58,1),(84,1)}
        74:{4,6}:{(61,1),(62,1),(104,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(69,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(70,1),(72,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(73,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(71,1),(88,1),(91,1)}
        82:{2,7}:{(69,1),(70,1)}
        83:{4,7}:{(71,1),(91,1)}
        84:{1,6}:{(72,1),(73,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(82,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(84,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(83,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1044 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(12,1),(46,1),(81,1),(82,1),(89,1),(90,1),(102,1),(146,1),(157,1),(167,1),(229,1)}
         1:{2,4,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(25,1),(55,1),(60,1),(61,1),(112,1),(122,1),(125,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(64,1),(65,1),(127,1),(203,1),(259,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(33,1),(146,1),(157,1),(229,1),(275,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(35,1),(42,1),(89,1),(90,1),(97,1),(157,1)}
         5:{1,4,5,7}:{(1,1),(9,1),(14,1),(44,1),(81,1),(84,1),(89,1),(152,1)}
         6:{2,4,6}:{(1,1),(2,1),(10,1),(14,1),(15,1),(38,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(102,1)}
         8:{2,3,4,7}:{(3,1),(17,1),(18,1),(60,1),(61,1),(105,1),(181,1),(194,1),(195,1),(251,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(20,1),(21,1),(54,1),(293,1)}
        10:{2,3,6}:{(3,1),(6,1),(21,1),(127,1),(259,1),(292,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(24,1),(25,1),(58,1),(60,1),(122,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(71,1)}
        13:{1,2,4,5,7}:{(5,1),(20,1),(27,1),(28,1),(51,1),(61,1),(69,1),(108,1),(112,1),(116,1),(122,1),(125,1),(131,1),(135,1),(171,1),(176,1),(193,1),(237,1),(282,1),(293,1)}
        14:{1,4,6}:{(5,1),(6,1),(21,1),(29,1)}
        15:{2,5,6}:{(6,1),(7,1),(25,1),(29,1),(125,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(64,1),(135,1),(136,1),(203,1)}
        17:{1,3,4,7}:{(8,1),(9,1),(31,1),(32,1),(76,1),(84,1),(89,1),(157,1),(230,1),(276,1)}
        18:{2,3,4,6}:{(8,1),(10,1),(32,1),(33,1),(40,1),(92,1),(138,1),(162,1),(163,1),(207,1),(216,1),(225,1)}
        19:{2,3,6,7}:{(10,1),(11,1),(35,1),(36,1),(97,1),(157,1),(165,1)}
        20:{2,5,7}:{(9,1),(31,1),(38,1),(80,1)}
        21:{1,3,6}:{(9,1),(10,1),(14,1),(38,1),(304,1)}
        22:{2,3,5,6}:{(10,1),(15,1),(33,1),(36,1),(39,1),(40,1),(50,1),(104,1),(163,1)}
        23:{1,3,5,6,7}:{(12,1),(41,1),(42,1),(97,1),(166,1)}
        24:{1,4,6,7}:{(11,1),(14,1),(35,1),(44,1),(89,1)}
        25:{2,5,7}:{(11,1),(12,1),(15,1),(44,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(42,1),(45,1),(89,1),(168,1)}
        27:{1,3,5,7}:{(13,1),(37,1),(46,1),(47,1),(76,1),(102,1),(141,1),(146,1),(157,1),(229,1),(264,1),(296,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(38,1),(47,1),(48,1),(92,1),(94,1),(103,1),(151,1),(205,1),(228,1),(263,1),(304,1)}
        29:{1,5,6}:{(14,1),(15,1),(44,1),(152,1)}
        30:{2,4,5,6}:{(15,1),(16,1),(40,1),(45,1),(49,1),(50,1),(94,1),(104,1),(161,1),(228,1)}
        31:{2,4,7}:{(17,1),(20,1),(52,1),(53,1),(260,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(21,1),(53,1),(54,1),(64,1),(107,1),(117,1),(127,1),(176,1),(181,1),(200,1),(246,1),(256,1)}
        33:{2,3,5}:{(18,1),(54,1),(55,1),(125,1),(199,1),(255,1)}
        34:{1,2,5,7}:{(20,1),(51,1),(56,1),(57,1),(108,1),(171,1),(293,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(24,1),(58,1),(59,1),(201,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(25,1),(59,1),(60,1),(71,1),(132,1),(195,1)}
        37:{2,3,5,7}:{(20,1),(27,1),(52,1),(56,1),(61,1),(62,1),(105,1),(111,1),(125,1),(171,1),(173,1)}
        38:{2,6}:{(20,1),(21,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(29,1),(54,1),(59,1),(63,1),(64,1),(127,1),(136,1),(200,1)}
        40:{2,4,6}:{(22,1),(55,1),(60,1),(64,1),(65,1)}
        41:{2,5,6,7}:{(23,1),(25,1),(66,1),(67,1),(192,1)}
        42:{1,4,6,7}:{(23,1),(26,1),(67,1),(201,1),(203,1)}
        43:{1,2,4,6,7}:{(24,1),(28,1),(58,1),(68,1),(69,1),(120,1),(122,1),(131,1),(187,1),(235,1),(282,1)}
        44:{1,5,7}:{(24,1),(25,1),(29,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(30,1),(60,1),(67,1),(70,1),(71,1),(122,1),(132,1)}
        46:{1,3,4,7}:{(27,1),(61,1),(73,1),(131,1),(176,1),(181,1),(194,1),(238,1)}
        47:{1,3,6}:{(27,1),(28,1),(62,1),(127,1),(259,1),(283,1)}
        48:{1,2,5,6}:{(28,1),(29,1),(63,1),(69,1),(74,1),(108,1),(125,1),(188,1),(192,1),(236,1),(257,1)}
        49:{1,4,5,6}:{(29,1),(30,1),(64,1),(70,1),(75,1),(189,1),(249,1)}
        50:{3,5,6}:{(30,1),(65,1),(71,1),(127,1),(199,1),(259,1)}
        51:{1,2,4,7}:{(31,1),(34,1),(76,1),(77,1),(84,1),(137,1),(276,1),(277,1)}
        52:{2,3,7}:{(31,1),(76,1),(79,1),(157,1)}
        53:{2,4,6}:{(31,1),(32,1),(38,1),(79,1),(80,1),(145,1),(233,1),(272,1)}
        54:{1,3,5}:{(32,1),(33,1),(80,1),(81,1),(146,1),(152,1),(280,1)}
        55:{2,4,5}:{(33,1),(40,1),(81,1),(82,1),(207,1)}
        56:{1,3,5,7}:{(34,1),(37,1),(76,1),(84,1),(85,1),(141,1),(152,1)}
        57:{1,2,6}:{(34,1),(38,1),(85,1),(205,1),(304,1)}
        58:{2,6,7}:{(35,1),(38,1),(88,1)}
        59:{1,3,5,7}:{(35,1),(36,1),(39,1),(44,1),(88,1),(89,1),(157,1),(168,1),(230,1)}
        60:{2,4,7}:{(36,1),(40,1),(89,1),(90,1)}
        61:{2,4,7}:{(37,1),(46,1),(84,1),(92,1),(145,1),(207,1)}
        62:{2,3,6}:{(37,1),(38,1),(47,1),(85,1),(92,1),(205,1)}
        63:{2,5,6}:{(38,1),(39,1),(80,1),(88,1),(94,1),(233,1)}
        64:{1,4,6}:{(39,1),(40,1),(81,1),(89,1),(94,1)}
        65:{3,4,6}:{(40,1),(50,1),(82,1),(90,1)}
        66:{1,5,6,7}:{(41,1),(44,1),(96,1),(218,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(165,1),(228,1)}
        68:{1,3,6,7}:{(43,1),(47,1),(87,1),(99,1),(157,1),(296,1),(304,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(48,1),(88,1),(99,1),(155,1),(222,1),(262,1),(277,1)}
        70:{1,4,5,7}:{(44,1),(45,1),(49,1),(89,1),(96,1),(100,1)}
        71:{3,5,7}:{(45,1),(50,1),(90,1),(97,1),(157,1)}
        72:{1,3,4,5,7}:{(46,1),(91,1),(101,1),(102,1),(139,1),(167,1),(169,1),(210,1),(215,1),(229,1),(264,1),(266,1),(271,1),(296,1)}
        73:{1,3,4,6}:{(46,1),(47,1),(92,1),(102,1),(103,1),(162,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(93,1),(99,1),(102,1),(103,1),(141,1),(226,1),(280,1),(304,1)}
        75:{1,3,5,6}:{(49,1),(50,1),(95,1),(100,1),(104,1),(224,1),(274,1)}
        76:{1,3,7}:{(51,1),(52,1),(105,1),(107,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(57,1),(107,1),(108,1),(117,1),(172,1),(176,1),(256,1),(257,1),(289,1)}
        78:{2,3,4,7}:{(52,1),(61,1),(106,1),(109,1),(110,1),(194,1),(238,1),(244,1),(251,1),(306,1)}
        79:{2,3,6}:{(52,1),(53,1),(107,1),(111,1),(127,1),(290,1)}
        80:{2,5}:{(53,1),(54,1)}
        81:{1,4,5}:{(54,1),(55,1),(64,1),(112,1),(176,1)}
        82:{3,4,5}:{(55,1),(65,1),(199,1),(238,1)}
        83:{1,2,6,7}:{(57,1),(58,1),(114,1),(115,1),(201,1),(235,1),(292,1),(311,1)}
        84:{1,4,7}:{(56,1),(61,1),(117,1),(176,1)}
        85:{1,3,6}:{(56,1),(57,1),(62,1),(117,1)}
        86:{1,2,5,6}:{(57,1),(63,1),(108,1),(115,1),(118,1),(119,1),(136,1),(236,1),(255,1),(292,1),(295,1)}
        87:{2,3,6,7}:{(58,1),(62,1),(68,1),(114,1),(120,1),(121,1),(235,1),(259,1),(292,1)}
        88:{2,5,7}:{(58,1),(59,1),(63,1),(122,1),(260,1)}
        89:{1,4,7}:{(59,1),(60,1),(64,1),(122,1)}
        90:{3,4,7}:{(60,1),(65,1),(71,1)}
        91:{2,4,5,7}:{(61,1),(72,1),(109,1),(116,1),(124,1),(125,1),(171,1),(180,1),(197,1),(237,1),(244,1),(282,1)}
        92:{2,4,6}:{(61,1),(62,1),(73,1),(117,1),(125,1)}
        93:{2,3,5,6}:{(62,1),(63,1),(74,1),(111,1),(118,1),(121,1),(125,1),(126,1),(127,1),(173,1),(191,1),(192,1),(199,1),(236,1),(255,1),(259,1),(283,1),(292,1)}
        94:{2,4,6}:{(63,1),(64,1),(112,1),(122,1),(127,1)}
        95:{1,3,4,6}:{(64,1),(65,1),(75,1),(113,1),(123,1),(127,1),(128,1),(200,1)}
        96:{1,4,6,7}:{(66,1),(67,1),(70,1),(129,1),(249,1)}
        97:{3,6,7}:{(67,1),(71,1),(259,1)}
        98:{1,3,4,6,7}:{(68,1),(73,1),(120,1),(130,1),(131,1),(194,1),(203,1),(259,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(74,1),(121,1),(131,1),(252,1),(293,1)}
       100:{1,3,5,7}:{(70,1),(71,1),(75,1),(123,1),(129,1),(132,1)}
       101:{1,3,4,6}:{(72,1),(124,1),(134,1),(174,1),(203,1),(240,1),(245,1),(259,1),(283,1)}
       102:{1,3,5}:{(73,1),(125,1),(135,1),(199,1)}
       103:{1,4,6}:{(74,1),(126,1),(131,1),(135,1),(176,1)}
       104:{2,5,6}:{(75,1),(128,1),(132,1),(136,1),(255,1),(292,1)}
       105:{2,3,7}:{(76,1),(137,1),(138,1),(296,1)}
       106:{1,3,4,7}:{(76,1),(78,1),(84,1),(137,1),(139,1),(140,1),(266,1),(276,1),(296,1),(312,1)}
       107:{1,3,6}:{(76,1),(77,1),(79,1),(138,1),(141,1),(302,1)}
       108:{1,2,5}:{(77,1),(80,1),(141,1),(152,1),(206,1),(280,1)}
       109:{2,3,5,7}:{(78,1),(91,1),(139,1),(143,1),(144,1),(229,1),(264,1),(275,1),(296,1)}
       110:{2,3,4,6}:{(78,1),(79,1),(92,1),(140,1),(143,1),(144,1),(145,1),(162,1),(214,1),(225,1),(265,1),(297,1)}
       111:{2,3,5}:{(79,1),(80,1),(141,1),(145,1),(146,1)}
       112:{2,4,5}:{(80,1),(81,1),(94,1),(145,1),(146,1)}
       113:{1,3,4,5}:{(81,1),(82,1),(95,1),(146,1),(147,1),(211,1),(217,1),(224,1)}
       114:{1,3,6,7}:{(83,1),(85,1),(87,1),(148,1),(149,1),(274,1)}
       115:{1,2,5,7}:{(83,1),(86,1),(88,1),(149,1),(150,1),(168,1),(262,1),(275,1),(305,1)}
       116:{1,4,5,7}:{(84,1),(91,1),(139,1),(151,1),(152,1),(210,1),(222,1),(266,1)}
       117:{1,4,6}:{(84,1),(85,1),(92,1),(152,1)}
       118:{1,3,5,6}:{(85,1),(86,1),(93,1),(141,1),(149,1),(152,1),(153,1),(154,1),(218,1),(224,1),(274,1)}
       119:{1,2,4,6}:{(86,1),(94,1),(142,1),(150,1),(153,1),(154,1),(164,1),(225,1),(233,1),(263,1),(301,1),(313,1)}
       120:{2,4,6,7}:{(87,1),(92,1),(98,1),(148,1),(155,1),(156,1),(228,1)}
       121:{2,3,5,7}:{(87,1),(88,1),(93,1),(99,1),(149,1),(155,1),(156,1),(157,1),(221,1),(229,1),(262,1),(275,1),(296,1)}
       122:{2,4,7}:{(88,1),(89,1),(94,1),(157,1)}
       123:{1,3,4,7}:{(89,1),(90,1),(95,1),(100,1),(157,1),(158,1),(230,1)}
       124:{2,4,6}:{(91,1),(101,1),(143,1),(151,1),(160,1),(205,1)}
       125:{2,5}:{(92,1),(102,1),(152,1)}
       126:{2,4,6}:{(93,1),(103,1),(145,1),(153,1),(156,1),(161,1),(162,1),(207,1)}
       127:{3,6}:{(94,1),(146,1),(157,1)}
       128:{2,4,6}:{(95,1),(104,1),(147,1),(158,1),(163,1),(164,1),(233,1)}
       129:{1,3,6,7}:{(96,1),(97,1),(100,1),(165,1),(274,1)}
       130:{1,3,5,7}:{(98,1),(102,1),(155,1),(166,1),(167,1),(229,1)}
       131:{1,4,7}:{(99,1),(103,1),(156,1)}
       132:{2,5,7}:{(100,1),(104,1),(158,1),(165,1),(168,1)}
       133:{1,3,4,6,7}:{(101,1),(159,1),(169,1),(208,1),(234,1),(266,1),(271,1),(281,1),(296,1)}
       134:{1,3,5,6}:{(101,1),(102,1),(160,1),(169,1),(170,1),(232,1)}
       135:{1,4,5}:{(102,1),(103,1),(161,1),(280,1)}
       136:{1,5,6}:{(104,1),(164,1),(168,1),(280,1),(304,1)}
       137:{2,4,7}:{(105,1),(106,1),(171,1),(172,1),(314,1)}
       138:{2,3,6}:{(105,1),(107,1),(172,1),(173,1),(283,1),(309,1)}
       139:{1,3,5,7}:{(106,1),(109,1),(116,1),(171,1),(174,1),(175,1),(293,1)}
       140:{1,3,4,6}:{(106,1),(107,1),(110,1),(117,1),(172,1),(174,1),(175,1),(176,1),(238,1),(240,1),(256,1),(283,1),(285,1),(307,1)}
       141:{1,3,5}:{(107,1),(108,1),(111,1),(173,1),(176,1)}
       142:{1,2,4,5}:{(108,1),(112,1),(119,1),(176,1),(177,1),(183,1),(189,1),(237,1),(242,1),(247,1),(255,1),(288,1),(289,1),(308,1)}
       143:{2,3,6}:{(109,1),(124,1),(174,1),(259,1),(283,1),(292,1)}
       144:{2,3,5}:{(110,1),(125,1),(175,1),(180,1),(199,1),(255,1)}
       145:{2,4}:{(111,1),(176,1),(181,1)}
       146:{3,5}:{(112,1),(127,1),(181,1)}
       147:{2,4,5}:{(113,1),(128,1),(182,1),(183,1),(242,1),(247,1),(255,1)}
       148:{1,4,6,7}:{(114,1),(117,1),(120,1),(184,1),(185,1),(249,1)}
       149:{1,3,5,7}:{(114,1),(115,1),(118,1),(121,1),(184,1),(185,1),(186,1)}
       150:{1,2,4,7}:{(115,1),(119,1),(122,1),(185,1),(186,1),(196,1),(251,1),(260,1),(282,1),(310,1),(314,1)}
       151:{1,4,6}:{(116,1),(124,1),(174,1),(188,1)}
       152:{1,5}:{(117,1),(125,1)}
       153:{1,4,6}:{(118,1),(126,1),(176,1),(185,1),(189,1)}
       154:{1,3,6}:{(119,1),(127,1),(177,1),(186,1),(191,1),(283,1)}
       155:{2,5,7}:{(120,1),(125,1),(130,1),(184,1),(192,1)}
       156:{2,4,7}:{(121,1),(126,1),(131,1),(185,1),(194,1)}
       157:{3,7}:{(122,1),(127,1)}
       158:{2,4,7}:{(123,1),(128,1),(132,1),(195,1),(196,1),(260,1)}
       159:{2,4,6,7}:{(124,1),(133,1),(178,1),(187,1),(197,1),(235,1),(244,1),(282,1)}
       160:{2,5,6}:{(124,1),(125,1),(134,1),(188,1),(197,1)}
       161:{2,4,5}:{(125,1),(126,1),(135,1),(189,1),(199,1),(255,1)}
       162:{3,4,6}:{(126,1),(127,1),(181,1),(194,1),(199,1),(238,1),(259,1),(283,1)}
       163:{2,3,6}:{(127,1),(128,1),(182,1),(195,1),(200,1)}
       164:{1,4,6}:{(128,1),(136,1),(183,1),(196,1),(200,1)}
       165:{2,6,7}:{(129,1),(132,1),(201,1),(292,1)}
       166:{1,3,5,6}:{(130,1),(192,1),(203,1),(259,1)}
       167:{1,4,5,7}:{(130,1),(131,1),(135,1),(193,1),(203,1),(293,1)}
       168:{1,5,7}:{(132,1),(136,1),(196,1),(201,1)}
       169:{1,3,5,7}:{(133,1),(134,1),(197,1),(204,1),(261,1)}
       170:{1,4,5,6}:{(134,1),(135,1),(198,1),(203,1),(204,1),(240,1),(295,1)}
       171:{2,5,7}:{(137,1),(139,1),(205,1),(206,1)}
       172:{2,4,6}:{(137,1),(138,1),(140,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       173:{2,3,5}:{(138,1),(141,1),(206,1),(207,1),(264,1)}
       174:{1,3,6}:{(139,1),(143,1),(151,1),(205,1),(304,1)}
       175:{1,3,5}:{(140,1),(144,1),(152,1),(206,1),(210,1),(264,1),(280,1)}
       176:{1,4}:{(141,1),(145,1),(207,1)}
       177:{1,3,5}:{(142,1),(146,1),(154,1),(211,1),(212,1),(264,1),(302,1)}
       178:{2,3,6,7}:{(143,1),(159,1),(208,1),(213,1),(281,1),(296,1),(303,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(160,1),(209,1),(213,1),(214,1),(232,1),(279,1),(297,1)}
       180:{2,4,5}:{(144,1),(145,1),(210,1),(214,1),(215,1)}
       181:{3,4}:{(145,1),(146,1)}
       182:{2,3,5}:{(146,1),(147,1),(163,1),(216,1),(217,1)}
       183:{1,4,5}:{(147,1),(164,1),(217,1),(269,1),(280,1)}
       184:{1,5,7}:{(148,1),(152,1),(155,1),(218,1)}
       185:{1,4,7}:{(149,1),(153,1),(156,1)}
       186:{1,3,7}:{(150,1),(154,1),(157,1),(221,1),(296,1)}
       187:{1,4,6,7}:{(151,1),(159,1),(208,1),(222,1),(266,1)}
       188:{1,5,6}:{(151,1),(152,1),(160,1),(222,1)}
       189:{1,4,5}:{(152,1),(153,1),(161,1),(224,1)}
       190:{1,3,4,6}:{(153,1),(154,1),(162,1),(211,1),(220,1),(224,1),(225,1),(274,1)}
       191:{2,3,6}:{(154,1),(212,1),(221,1),(225,1),(226,1),(233,1),(313,1)}
       192:{2,5,6}:{(155,1),(166,1),(218,1),(228,1)}
       193:{2,4,5,7}:{(155,1),(156,1),(161,1),(167,1),(219,1),(228,1),(229,1),(275,1)}
       194:{3,4,7}:{(156,1),(157,1),(162,1),(229,1),(296,1)}
       195:{2,3,7}:{(157,1),(158,1),(163,1),(230,1)}
       196:{1,4,7}:{(158,1),(164,1),(168,1),(230,1)}
       197:{2,5,7}:{(159,1),(160,1),(169,1),(222,1)}
       198:{2,4,5,6}:{(160,1),(161,1),(170,1),(214,1),(223,1),(228,1),(231,1),(232,1),(263,1),(279,1)}
       199:{3,5}:{(161,1),(162,1)}
       200:{1,3,6}:{(163,1),(164,1),(217,1),(230,1),(233,1)}
       201:{1,6,7}:{(165,1),(168,1),(304,1)}
       202:{1,3,5,6,7}:{(166,1),(169,1),(227,1),(234,1),(281,1)}
       203:{1,4,6}:{(166,1),(167,1),(228,1),(304,1)}
       204:{1,4,5,7}:{(169,1),(170,1),(231,1),(234,1),(266,1),(305,1)}
       205:{2,6}:{(171,1),(174,1)}
       206:{2,5}:{(172,1),(175,1)}
       207:{2,4}:{(173,1),(176,1),(238,1)}
       208:{1,3,6,7}:{(174,1),(178,1),(187,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(174,1),(175,1),(179,1),(188,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(175,1),(176,1),(180,1),(237,1),(240,1)}
       211:{1,3,4}:{(176,1),(177,1),(181,1),(238,1),(242,1)}
       212:{2,3,5}:{(177,1),(191,1),(242,1),(243,1),(247,1),(255,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(178,1),(179,1),(197,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(179,1),(180,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(180,1),(181,1),(199,1),(245,1)}
       216:{2,3,4}:{(181,1),(182,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(182,1),(183,1),(200,1),(246,1),(247,1)}
       218:{1,5,6}:{(184,1),(192,1),(249,1)}
       219:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(185,1),(186,1),(190,1),(194,1),(250,1),(251,1)}
       221:{2,3,7}:{(186,1),(191,1),(251,1),(252,1),(260,1),(314,1)}
       222:{1,5,7}:{(187,1),(188,1),(197,1)}
       223:{1,4,5,6}:{(188,1),(189,1),(198,1),(240,1),(249,1),(253,1),(254,1)}
       224:{1,3,5}:{(189,1),(190,1),(199,1),(255,1)}
       225:{2,4,6}:{(190,1),(191,1),(242,1),(251,1),(255,1),(256,1),(292,1)}
       226:{1,3,6}:{(191,1),(243,1),(252,1),(256,1),(257,1)}
       227:{2,5,6,7}:{(192,1),(197,1),(202,1),(248,1),(258,1)}
       228:{2,4,6}:{(192,1),(193,1),(203,1),(249,1),(259,1),(292,1)}
       229:{3,5,7}:{(193,1),(194,1),(199,1),(259,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(260,1)}
       231:{2,4,5,7}:{(197,1),(198,1),(204,1),(244,1),(253,1),(258,1),(261,1),(282,1),(294,1)}
       232:{3,5,6}:{(198,1),(199,1),(245,1),(259,1),(261,1),(283,1)}
       233:{2,6}:{(200,1),(247,1),(260,1)}
       234:{1,4,6,7}:{(202,1),(203,1),(204,1),(258,1),(311,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(222,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(224,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(226,1),(269,1),(270,1),(280,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(232,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(233,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(228,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(225,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(226,1),(276,1),(277,1)}
       253:{1,4,5,7}:{(222,1),(223,1),(231,1),(266,1),(273,1),(278,1)}
       254:{1,3,5,6}:{(223,1),(224,1),(232,1),(267,1),(274,1),(278,1),(279,1)}
       255:{2,5}:{(224,1),(225,1),(280,1)}
       256:{1,4,6}:{(225,1),(226,1),(269,1),(276,1),(280,1),(304,1)}
       257:{1,2,6}:{(226,1),(233,1),(270,1),(277,1),(313,1)}
       258:{2,4,6,7}:{(227,1),(228,1),(231,1),(234,1),(273,1),(281,1),(303,1)}
       259:{3,6}:{(228,1),(229,1)}
       260:{2,7}:{(230,1),(233,1)}
       261:{3,5,7}:{(231,1),(232,1),(271,1),(281,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(254,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(255,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(257,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(258,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(259,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(255,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{1,2,7}:{(252,1),(257,1),(260,1),(314,1)}
       278:{1,3,5,7}:{(253,1),(254,1),(261,1),(286,1),(291,1),(294,1)}
       279:{2,5,6}:{(254,1),(255,1),(287,1),(292,1),(294,1),(295,1)}
       280:{1,5}:{(255,1),(256,1)}
       281:{3,6,7}:{(258,1),(259,1),(261,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(278,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(279,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(280,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(281,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(280,1),(304,1)}
       294:{2,5,7}:{(278,1),(279,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(279,1),(280,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1045 :   0:{1,3,4,5}:{(2,1),(3,1),(18,1),(44,1),(68,1),(107,1),(137,1),(195,1)}
         1:{1,4,5,6}:{(4,1),(7,1),(8,1),(82,1),(88,1),(178,1),(240,1),(271,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(88,1),(169,1)}
         3:{2,4,5}:{(0,1),(5,1),(10,1),(11,1),(37,1),(94,1),(174,1)}
         4:{2,4,5,6}:{(1,1),(13,1),(15,1),(16,1),(21,1),(52,1),(56,1),(104,1),(126,1),(192,1),(218,1),(289,1),(314,1),(377,1)}
         5:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(195,1)}
         6:{1,5,6,7}:{(14,1),(19,1),(212,1),(317,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(20,1),(118,1),(125,1),(212,1)}
         8:{1,3,5,6}:{(1,1),(2,1),(16,1),(20,1),(21,1),(137,1),(225,1)}
         9:{1,3,4,7}:{(2,1),(20,1),(22,1),(55,1),(60,1),(125,1),(214,1)}
        10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(22,1),(23,1),(61,1)}
        11:{1,4,5}:{(3,1),(18,1),(23,1),(122,1),(210,1)}
        12:{2,3,4}:{(5,1),(26,1),(94,1),(139,1),(243,1)}
        13:{1,4,5,6}:{(4,1),(28,1),(29,1),(40,1),(88,1),(240,1),(257,1),(351,1)}
        14:{2,5,6,7}:{(6,1),(27,1),(30,1),(32,1),(166,1),(261,1),(358,1)}
        15:{2,4,5,7}:{(4,1),(7,1),(28,1),(32,1),(33,1),(39,1),(81,1),(85,1),(87,1),(166,1),(168,1),(261,1),(354,1)}
        16:{3,5,6}:{(4,1),(31,1),(33,1),(169,1),(264,1),(356,1)}
        17:{2,3,6}:{(5,1),(10,1),(35,1),(36,1),(169,1)}
        18:{1,3,5}:{(5,1),(11,1),(26,1),(36,1),(37,1)}
        19:{1,4,6,7}:{(6,1),(7,1),(32,1),(38,1),(160,1),(271,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(9,1),(33,1),(38,1),(39,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(174,1),(268,1)}
        22:{2,4,7}:{(9,1),(10,1),(35,1),(39,1),(41,1),(92,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1),(41,1)}
        24:{1,2,4,5}:{(11,1),(37,1),(42,1),(43,1),(70,1),(94,1),(142,1),(149,1),(165,1),(174,1),(178,1),(231,1),(236,1),(324,1)}
        25:{2,3,4,6}:{(12,1),(17,1),(45,1),(46,1),(47,1),(56,1),(108,1),(114,1),(131,1),(182,1),(183,1),(215,1),(276,1),(301,1),(365,1)}
        26:{1,3,4}:{(12,1),(18,1),(48,1),(103,1),(122,1)}
        27:{1,5,6,7}:{(14,1),(50,1),(212,1),(389,1)}
        28:{1,4,5,7}:{(13,1),(15,1),(50,1),(51,1),(64,1),(125,1),(212,1)}
        29:{1,3,5,6}:{(13,1),(16,1),(49,1),(51,1),(52,1),(303,1),(387,1)}
        30:{3,5,6,7}:{(14,1),(54,1),(57,1),(123,1),(309,1),(392,1)}
        31:{3,4,6}:{(16,1),(44,1),(55,1),(56,1),(377,1)}
        32:{2,4,6,7}:{(14,1),(15,1),(19,1),(50,1),(54,1),(57,1),(63,1),(117,1),(314,1)}
        33:{3,5,7}:{(15,1),(16,1),(55,1),(57,1),(214,1)}
        34:{2,3,5,6}:{(16,1),(17,1),(21,1),(45,1),(52,1),(56,1),(58,1),(59,1),(108,1),(114,1),(192,1)}
        35:{2,3,7}:{(17,1),(22,1),(60,1),(214,1)}
        36:{1,3,6}:{(17,1),(18,1),(23,1),(60,1),(61,1)}
        37:{2,5}:{(18,1),(48,1),(61,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(57,1),(63,1),(225,1)}
        39:{2,5,7}:{(20,1),(21,1),(22,1),(63,1),(64,1)}
        40:{1,5,6}:{(21,1),(23,1),(64,1),(210,1),(307,1)}
        41:{1,4,7}:{(22,1),(23,1),(60,1),(64,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(61,1),(65,1),(66,1),(67,1),(126,1),(131,1),(135,1),(211,1),(279,1),(367,1)}
        43:{1,3,5}:{(24,1),(62,1),(67,1),(68,1),(103,1),(195,1),(364,1)}
        44:{3,4,5}:{(31,1),(72,1),(264,1),(321,1),(410,1)}
        45:{2,3,5}:{(25,1),(72,1),(74,1),(174,1),(264,1),(347,1),(401,1)}
        46:{2,3,4,7}:{(25,1),(35,1),(73,1),(75,1),(87,1),(156,1),(173,1),(229,1),(263,1),(323,1),(346,1)}
        47:{1,3,4,6}:{(25,1),(26,1),(36,1),(74,1),(75,1),(76,1),(88,1),(144,1),(150,1),(157,1),(164,1),(169,1),(227,1),(236,1),(243,1),(331,1),(337,1),(345,1)}
        48:{2,4}:{(26,1),(37,1),(77,1)}
        49:{1,3,4,6}:{(29,1),(31,1),(69,1),(78,1),(79,1),(88,1),(157,1),(169,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(32,1),(80,1),(95,1),(351,1)}
        51:{1,3,5,7}:{(28,1),(29,1),(33,1),(78,1),(80,1),(81,1)}
        52:{2,5,6}:{(29,1),(79,1),(81,1),(82,1),(347,1),(416,1)}
        53:{1,2,5}:{(37,1),(70,1),(83,1),(84,1),(231,1)}
        54:{4,6,7}:{(30,1),(85,1),(354,1),(420,1)}
        55:{3,4,7}:{(31,1),(33,1),(87,1),(354,1)}
        56:{2,4,6}:{(31,1),(34,1),(72,1),(87,1),(88,1)}
        57:{3,6,7}:{(32,1),(33,1),(356,1)}
        58:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(81,1),(87,1),(89,1),(90,1),(156,1),(166,1)}
        59:{1,3,5,6}:{(34,1),(36,1),(40,1),(74,1),(82,1),(88,1),(90,1),(91,1),(150,1),(157,1),(169,1),(240,1),(336,1)}
        60:{1,3,7}:{(35,1),(36,1),(41,1),(92,1)}
        61:{2,6}:{(36,1),(37,1),(92,1)}
        62:{2,3,5}:{(37,1),(43,1),(77,1),(84,1),(93,1),(94,1),(139,1),(174,1),(231,1)}
        63:{2,6,7}:{(38,1),(39,1),(95,1),(268,1)}
        64:{1,5,7}:{(39,1),(40,1),(41,1),(95,1)}
        65:{1,2,5,6}:{(40,1),(42,1),(91,1),(96,1),(97,1),(142,1),(174,1),(234,1),(250,1),(259,1),(268,1),(326,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(92,1),(96,1),(98,1),(168,1),(173,1),(177,1),(260,1),(327,1),(403,1)}
        67:{1,3,6}:{(42,1),(43,1),(93,1),(98,1),(169,1),(400,1)}
        68:{1,3,4}:{(43,1),(94,1),(236,1),(243,1),(321,1)}
        69:{1,3,4,5}:{(44,1),(49,1),(101,1),(107,1),(185,1),(195,1),(282,1),(303,1)}
        70:{1,2,4}:{(48,1),(53,1),(103,1),(122,1),(184,1)}
        71:{3,4,5,7}:{(44,1),(55,1),(105,1),(106,1),(123,1),(311,1),(363,1),(391,1),(425,1)}
        72:{2,4,5}:{(44,1),(45,1),(56,1),(107,1),(276,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(106,1),(108,1),(109,1),(219,1),(311,1),(385,1)}
        74:{1,3,5}:{(45,1),(47,1),(107,1),(110,1),(195,1),(210,1),(373,1),(378,1),(384,1)}
        75:{1,3,4,7}:{(46,1),(47,1),(60,1),(109,1),(111,1),(125,1),(189,1),(202,1),(209,1),(214,1),(284,1),(291,1),(383,1)}
        76:{2,4,6}:{(47,1),(48,1),(61,1),(110,1),(111,1),(112,1),(196,1),(198,1),(203,1),(274,1)}
        77:{2,3}:{(48,1),(103,1)}
        78:{1,3,4,7}:{(49,1),(51,1),(55,1),(115,1),(125,1),(202,1),(214,1)}
        79:{2,4,6}:{(49,1),(52,1),(101,1),(114,1),(115,1),(116,1),(203,1)}
        80:{1,3,6,7}:{(50,1),(51,1),(57,1),(117,1),(387,1)}
        81:{2,5,7}:{(51,1),(52,1),(115,1),(117,1),(118,1)}
        82:{1,5,6}:{(52,1),(116,1),(118,1),(384,1),(435,1)}
        83:{1,2,6}:{(53,1),(61,1),(120,1),(121,1),(279,1)}
        84:{1,3,5}:{(53,1),(62,1),(103,1),(121,1),(122,1),(210,1)}
        85:{4,5,7}:{(54,1),(104,1),(123,1)}
        86:{3,4,6,7}:{(54,1),(55,1),(57,1),(105,1),(123,1),(124,1)}
        87:{2,4,7}:{(55,1),(56,1),(58,1),(125,1)}
        88:{1,4,6}:{(56,1),(59,1),(107,1),(125,1),(126,1),(377,1)}
        89:{2,3,6,7}:{(57,1),(58,1),(63,1),(108,1),(117,1),(124,1),(127,1)}
        90:{1,3,5,7}:{(58,1),(59,1),(60,1),(64,1),(118,1),(125,1),(127,1),(128,1),(202,1),(212,1),(214,1),(309,1)}
        91:{2,5,6}:{(59,1),(61,1),(110,1),(126,1),(128,1),(196,1),(203,1)}
        92:{2,7}:{(60,1),(61,1)}
        93:{2,3,6}:{(61,1),(62,1),(67,1),(121,1),(130,1),(131,1),(279,1)}
        94:{2,4}:{(62,1),(68,1),(122,1)}
        95:{1,6,7}:{(63,1),(64,1),(307,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(128,1),(133,1),(134,1),(219,1),(298,1),(308,1),(369,1)}
        97:{1,3,5,6}:{(65,1),(67,1),(129,1),(134,1),(135,1),(137,1),(188,1),(225,1),(283,1),(299,1),(317,1),(373,1),(384,1),(435,1)}
        98:{1,3,7}:{(66,1),(67,1),(130,1),(214,1),(427,1)}
        99:{1,3,4,6}:{(67,1),(68,1),(131,1),(135,1),(136,1),(137,1),(215,1),(225,1)}
       100:{1,3,4,5}:{(68,1),(132,1),(137,1),(138,1),(191,1),(285,1),(292,1),(364,1)}
       101:{2,4,5}:{(69,1),(79,1),(140,1),(141,1),(232,1),(329,1),(347,1)}
       102:{1,2,4,6}:{(70,1),(76,1),(83,1),(142,1),(143,1),(144,1),(164,1),(230,1),(234,1),(236,1),(250,1),(319,1),(331,1),(345,1)}
       103:{1,3}:{(70,1),(77,1),(139,1)}
       104:{4,5,6}:{(85,1),(146,1),(420,1),(442,1)}
       105:{3,4,6}:{(71,1),(146,1),(147,1),(356,1),(420,1)}
       106:{2,4,5,7}:{(71,1),(72,1),(73,1),(87,1),(147,1),(148,1),(166,1),(323,1),(401,1)}
       107:{1,4,5}:{(72,1),(74,1),(88,1),(149,1),(236,1),(410,1)}
       108:{2,3,6}:{(73,1),(147,1),(150,1),(268,1),(356,1),(416,1)}
       109:{1,3,5,7}:{(73,1),(74,1),(75,1),(148,1),(150,1),(151,1),(242,1),(258,1),(414,1)}
       110:{2,5}:{(74,1),(76,1)}
       111:{2,4,7}:{(75,1),(76,1),(92,1),(151,1),(153,1),(251,1)}
       112:{2,3,6}:{(76,1),(77,1),(144,1),(152,1),(153,1),(169,1),(320,1)}
       113:{2,3,4}:{(77,1),(94,1),(145,1),(155,1),(321,1)}
       114:{2,3,6}:{(79,1),(140,1),(156,1),(157,1),(169,1)}
       115:{2,4,7}:{(78,1),(79,1),(81,1),(156,1),(158,1),(251,1)}
       116:{1,4,6}:{(79,1),(82,1),(141,1),(157,1),(158,1)}
       117:{2,6,7}:{(80,1),(81,1),(160,1),(416,1)}
       118:{1,5,7}:{(81,1),(82,1),(158,1),(160,1)}
       119:{1,2,5,6}:{(82,1),(83,1),(91,1),(142,1),(159,1),(161,1),(162,1),(234,1),(326,1),(347,1),(415,1),(416,1)}
       120:{1,2,7}:{(83,1),(92,1),(163,1),(327,1)}
       121:{1,3,6}:{(83,1),(84,1),(93,1),(163,1),(164,1)}
       122:{1,4}:{(84,1),(94,1)}
       123:{3,5,7}:{(85,1),(86,1),(146,1),(166,1)}
       124:{2,4,6,7}:{(86,1),(87,1),(89,1),(147,1),(166,1),(167,1)}
       125:{1,4,7}:{(87,1),(88,1),(90,1),(168,1),(354,1)}
       126:{2,4,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(95,1),(150,1),(160,1),(167,1),(170,1),(262,1)}
       128:{2,5,7}:{(90,1),(91,1),(92,1),(168,1),(170,1),(251,1)}
       129:{2,3,5,6}:{(91,1),(93,1),(97,1),(152,1),(162,1),(169,1),(171,1),(172,1),(174,1),(228,1),(244,1),(252,1),(264,1),(268,1),(322,1),(326,1),(336,1),(340,1),(347,1),(356,1),(358,1),(400,1),(401,1),(416,1),(443,1)}
       130:{2,3,7}:{(92,1),(93,1),(98,1),(163,1),(173,1),(327,1)}
       131:{2,4,6}:{(93,1),(94,1),(99,1),(164,1),(173,1),(174,1),(268,1)}
       132:{2,4,5}:{(94,1),(100,1),(155,1),(165,1),(174,1),(175,1),(231,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(170,1),(176,1),(234,1),(268,1),(353,1),(404,1)}
       134:{1,3,5,7}:{(96,1),(97,1),(98,1),(171,1),(176,1),(177,1),(270,1),(344,1),(414,1)}
       135:{1,4,6}:{(97,1),(172,1),(177,1),(178,1),(236,1)}
       136:{1,3,4,7}:{(98,1),(99,1),(173,1),(177,1),(179,1),(263,1)}
       137:{1,3,5}:{(99,1),(174,1),(178,1),(264,1)}
       138:{1,3,4,6}:{(100,1),(175,1),(180,1),(181,1),(239,1),(333,1),(339,1),(400,1)}
       139:{2,3}:{(103,1),(184,1)}
       140:{2,3,5}:{(101,1),(114,1),(182,1),(185,1),(195,1)}
       141:{1,4,5}:{(101,1),(116,1),(185,1),(370,1),(384,1)}
       142:{1,2,5}:{(102,1),(110,1),(188,1),(210,1),(278,1),(373,1),(384,1)}
       143:{1,2,4,7}:{(102,1),(111,1),(120,1),(187,1),(189,1),(209,1),(277,1),(284,1),(298,1),(383,1)}
       144:{1,3,6}:{(102,1),(103,1),(112,1),(183,1),(188,1),(189,1),(361,1)}
       145:{1,3,4}:{(103,1),(113,1),(122,1),(184,1),(191,1)}
       146:{3,5,6}:{(104,1),(105,1),(123,1),(192,1),(425,1)}
       147:{2,4,6}:{(105,1),(106,1),(108,1),(192,1),(193,1)}
       148:{1,4,5,7}:{(106,1),(107,1),(109,1),(125,1),(193,1),(194,1),(212,1),(284,1),(373,1)}
       149:{2,4,5}:{(107,1),(110,1),(126,1),(195,1),(198,1)}
       150:{1,3,6}:{(108,1),(109,1),(193,1),(196,1),(290,1),(307,1),(435,1)}
       151:{2,5,7}:{(109,1),(110,1),(111,1),(196,1)}
       152:{2,3,5}:{(110,1),(112,1),(188,1),(195,1),(198,1)}
       153:{2,3,7}:{(111,1),(112,1),(189,1),(214,1)}
       154:{2,3,4,6}:{(112,1),(113,1),(131,1),(190,1),(198,1),(199,1),(200,1),(201,1),(215,1),(293,1),(295,1),(296,1),(301,1),(362,1),(424,1)}
       155:{2,3,5}:{(113,1),(132,1),(191,1),(201,1),(364,1)}
       156:{2,3,7}:{(114,1),(115,1),(202,1),(214,1)}
       157:{1,3,6}:{(114,1),(116,1),(185,1),(202,1),(203,1)}
       158:{1,4,7}:{(115,1),(116,1),(118,1),(202,1)}
       159:{1,2,4,6}:{(116,1),(119,1),(126,1),(186,1),(203,1),(204,1),(205,1),(208,1),(301,1),(367,1),(430,1),(449,1)}
       160:{1,6,7}:{(117,1),(118,1),(435,1)}
       161:{1,2,5,7}:{(118,1),(119,1),(120,1),(128,1),(204,1),(206,1),(207,1),(369,1),(385,1),(436,1)}
       162:{1,3,5,6}:{(119,1),(121,1),(129,1),(188,1),(205,1),(207,1),(208,1),(210,1),(283,1),(303,1),(307,1),(373,1),(387,1),(389,1)}
       163:{1,3,7}:{(120,1),(121,1),(130,1),(209,1)}
       164:{1,4,6}:{(121,1),(122,1),(131,1),(209,1),(210,1),(307,1)}
       165:{1,4,5}:{(122,1),(132,1),(191,1),(210,1),(211,1)}
       166:{2,5,7}:{(123,1),(124,1),(192,1),(212,1)}
       167:{1,4,6,7}:{(124,1),(125,1),(127,1),(193,1),(212,1),(213,1)}
       168:{2,4,7}:{(125,1),(126,1),(128,1),(214,1)}
       169:{3,6}:{(126,1),(195,1),(214,1)}
       170:{2,6,7}:{(127,1),(128,1),(196,1)}
       171:{2,3,5,7}:{(128,1),(129,1),(130,1),(134,1),(207,1),(214,1),(216,1),(217,1),(219,1),(300,1),(309,1),(311,1),(313,1),(369,1),(385,1),(427,1),(452,1)}
       172:{2,4,6}:{(129,1),(135,1),(198,1),(208,1),(215,1),(217,1),(218,1),(276,1),(377,1),(451,1)}
       173:{2,4,7}:{(130,1),(131,1),(136,1),(209,1),(219,1)}
       174:{2,5}:{(131,1),(137,1),(210,1)}
       175:{2,4,6}:{(132,1),(138,1),(201,1),(211,1),(220,1),(221,1),(279,1)}
       176:{1,3,6,7}:{(133,1),(134,1),(216,1),(222,1),(225,1),(283,1),(435,1)}
       177:{1,4,7}:{(134,1),(135,1),(217,1)}
       178:{1,4,5}:{(135,1),(137,1),(218,1),(373,1),(384,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(219,1),(223,1),(225,1),(311,1)}
       180:{1,3,5,6}:{(137,1),(138,1),(220,1),(224,1),(225,1),(226,1),(312,1)}
       181:{1,3,4,7}:{(138,1),(221,1),(226,1),(288,1),(375,1),(380,1),(427,1)}
       182:{2,3,4}:{(140,1),(227,1),(243,1),(329,1),(395,1)}
       183:{2,3,6}:{(139,1),(144,1),(228,1),(229,1),(230,1),(395,1),(400,1)}
       184:{2,4}:{(139,1),(145,1),(231,1)}
       185:{1,3,5}:{(140,1),(141,1),(157,1),(227,1),(232,1)}
       186:{1,2,4,5}:{(141,1),(142,1),(149,1),(159,1),(232,1),(233,1),(236,1),(257,1),(319,1),(324,1),(329,1),(347,1),(405,1),(439,1)}
       187:{1,2,5,7}:{(142,1),(143,1),(151,1),(234,1),(235,1),(258,1),(325,1),(414,1)}
       188:{1,3,5}:{(142,1),(144,1),(152,1),(228,1),(236,1)}
       189:{1,3,7}:{(143,1),(144,1),(153,1),(229,1)}
       190:{1,3,4,6}:{(144,1),(145,1),(154,1),(164,1),(230,1),(236,1),(237,1),(238,1),(239,1),(321,1),(331,1),(333,1),(334,1),(345,1),(396,1),(398,1),(400,1),(440,1)}
       191:{1,3,5}:{(145,1),(155,1),(165,1),(231,1),(239,1)}
       192:{2,5,6}:{(146,1),(147,1),(166,1),(240,1),(401,1)}
       193:{1,4,6}:{(147,1),(148,1),(150,1),(240,1),(241,1)}
       194:{2,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(241,1),(242,1),(245,1),(261,1),(340,1),(354,1),(410,1)}
       195:{3,5}:{(149,1),(169,1),(243,1)}
       196:{2,6}:{(150,1),(151,1)}
       197:{2,3,5,7}:{(151,1),(152,1),(153,1),(235,1),(242,1),(244,1),(245,1),(340,1)}
       198:{2,4}:{(152,1),(236,1),(243,1)}
       199:{2,3,4,7}:{(153,1),(154,1),(173,1),(237,1),(245,1),(247,1),(249,1),(263,1),(342,1),(346,1),(441,1)}
       200:{2,3,5}:{(154,1),(174,1),(238,1),(246,1),(264,1),(340,1),(347,1)}
       201:{2,3,6}:{(155,1),(175,1),(239,1),(249,1),(400,1)}
       202:{1,3,7}:{(156,1),(157,1),(158,1),(251,1)}
       203:{2,6}:{(157,1),(232,1),(251,1)}
       204:{1,2,4,7}:{(158,1),(159,1),(161,1),(168,1),(251,1),(253,1),(256,1),(346,1),(403,1),(446,1),(453,1)}
       205:{1,3,6}:{(159,1),(169,1),(233,1),(252,1),(253,1),(400,1)}
       206:{1,2,6,7}:{(160,1),(161,1),(170,1),(234,1),(255,1),(404,1),(416,1),(448,1)}
       207:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(253,1),(255,1),(256,1),(258,1),(350,1)}
       208:{1,4,6}:{(162,1),(172,1),(236,1),(256,1),(257,1)}
       209:{1,4,7}:{(163,1),(164,1),(173,1),(258,1)}
       210:{1,5}:{(164,1),(174,1)}
       211:{1,4,6}:{(165,1),(175,1),(239,1),(259,1),(260,1)}
       212:{1,5,7}:{(166,1),(167,1),(240,1),(261,1)}
       213:{2,4,6,7}:{(167,1),(168,1),(170,1),(241,1),(261,1),(262,1),(354,1)}
       214:{3,7}:{(168,1),(169,1)}
       215:{3,4,6}:{(169,1),(172,1),(243,1),(263,1),(264,1),(321,1),(356,1),(400,1)}
       216:{2,3,6,7}:{(170,1),(171,1),(176,1),(244,1),(255,1),(262,1),(265,1),(268,1),(322,1),(356,1),(404,1),(416,1),(444,1)}
       217:{2,4,7}:{(171,1),(172,1),(177,1),(256,1),(263,1),(354,1),(454,1)}
       218:{2,4,5}:{(172,1),(174,1),(178,1),(257,1),(264,1),(340,1),(347,1),(401,1),(410,1),(442,1)}
       219:{2,5,7}:{(173,1),(174,1),(179,1),(258,1),(268,1)}
       220:{2,5,6}:{(174,1),(175,1),(180,1),(259,1),(268,1),(269,1)}
       221:{2,4,7}:{(175,1),(181,1),(249,1),(260,1),(269,1),(327,1)}
       222:{1,4,6,7}:{(176,1),(177,1),(265,1),(270,1),(271,1),(331,1)}
       223:{1,4,5,7}:{(177,1),(178,1),(179,1),(266,1),(270,1),(271,1),(414,1)}
       224:{1,4,5,6}:{(178,1),(180,1),(267,1),(271,1),(272,1),(333,1),(408,1),(415,1)}
       225:{1,3,6}:{(179,1),(268,1),(271,1),(356,1)}
       226:{1,3,5,7}:{(180,1),(181,1),(269,1),(272,1),(273,1),(357,1)}
       227:{1,3,4}:{(182,1),(185,1),(274,1),(361,1),(370,1)}
       228:{2,3,5}:{(183,1),(188,1),(276,1),(278,1),(364,1)}
       229:{2,3,7}:{(183,1),(189,1),(277,1),(427,1)}
       230:{2,4,6}:{(183,1),(184,1),(190,1),(276,1),(277,1),(278,1),(279,1),(368,1),(422,1),(449,1)}
       231:{2,5}:{(184,1),(191,1),(279,1)}
       232:{2,5}:{(185,1),(203,1),(274,1)}
       233:{1,3,5}:{(186,1),(195,1),(205,1),(281,1),(282,1),(361,1),(364,1)}
       234:{1,2,6}:{(187,1),(196,1),(283,1),(307,1),(368,1),(435,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(189,1),(197,1),(275,1),(283,1),(284,1),(373,1)}
       236:{1,4}:{(188,1),(198,1),(276,1)}
       237:{1,3,4,7}:{(189,1),(190,1),(199,1),(209,1),(277,1),(284,1),(286,1),(288,1),(363,1),(375,1),(383,1),(427,1),(450,1)}
       238:{1,3,5}:{(190,1),(200,1),(210,1),(278,1),(285,1),(364,1),(373,1),(384,1),(425,1)}
       239:{1,3,6}:{(191,1),(201,1),(211,1),(279,1),(288,1)}
       240:{1,5,6}:{(192,1),(193,1),(212,1),(289,1),(373,1)}
       241:{2,4,6}:{(193,1),(194,1),(196,1),(289,1),(290,1),(377,1)}
       242:{3,5,7}:{(194,1),(195,1),(214,1),(290,1),(291,1),(378,1)}
       243:{3,4}:{(195,1),(198,1)}
       244:{2,3,6}:{(196,1),(197,1),(283,1),(290,1),(293,1)}
       245:{2,4,7}:{(197,1),(198,1),(284,1),(291,1),(293,1)}
       246:{2,4,5}:{(198,1),(200,1),(285,1),(292,1),(295,1)}
       247:{2,3,5,7}:{(199,1),(200,1),(219,1),(286,1),(294,1),(296,1),(311,1),(385,1)}
       248:{2,3,5,6}:{(200,1),(201,1),(220,1),(287,1),(295,1),(296,1),(297,1),(312,1),(381,1),(386,1),(424,1)}
       249:{2,3,7}:{(201,1),(221,1),(288,1),(427,1)}
       250:{1,2,6}:{(203,1),(280,1),(298,1),(299,1),(449,1)}
       251:{2,7}:{(202,1),(203,1)}
       252:{2,3,6}:{(203,1),(205,1),(281,1),(299,1),(300,1),(301,1),(449,1)}
       253:{1,3,7}:{(204,1),(205,1),(214,1),(300,1),(427,1)}
       254:{1,3,4,6}:{(205,1),(208,1),(215,1),(282,1),(301,1),(302,1),(303,1),(387,1)}
       255:{1,3,6,7}:{(206,1),(207,1),(216,1),(283,1),(304,1),(307,1),(387,1)}
       256:{1,4,7}:{(207,1),(208,1),(217,1)}
       257:{1,4,5}:{(208,1),(210,1),(218,1),(303,1),(373,1)}
       258:{1,5,7}:{(209,1),(210,1),(219,1),(307,1)}
       259:{1,5,6}:{(210,1),(211,1),(220,1),(307,1),(308,1)}
       260:{1,4,7}:{(211,1),(221,1),(288,1),(308,1)}
       261:{2,5,7}:{(212,1),(213,1),(289,1),(309,1)}
       262:{3,6,7}:{(213,1),(214,1),(290,1),(309,1)}
       263:{3,4,7}:{(214,1),(215,1),(217,1),(311,1),(427,1)}
       264:{3,5}:{(215,1),(218,1)}
       265:{2,4,6,7}:{(216,1),(217,1),(222,1),(293,1),(304,1),(310,1),(313,1),(314,1),(365,1)}
       266:{2,4,5,7}:{(217,1),(218,1),(219,1),(223,1),(305,1),(311,1),(313,1),(314,1),(385,1),(391,1)}
       267:{2,4,5,6}:{(218,1),(220,1),(224,1),(295,1),(306,1),(312,1),(314,1),(315,1),(367,1),(381,1),(386,1),(428,1),(433,1),(451,1)}
       268:{2,6}:{(219,1),(225,1),(307,1)}
       269:{2,5,7}:{(220,1),(221,1),(226,1),(308,1),(316,1)}
       270:{1,5,7}:{(222,1),(313,1),(317,1),(373,1)}
       271:{1,4,6}:{(223,1),(225,1),(314,1),(317,1),(435,1)}
       272:{1,4,5,7}:{(224,1),(226,1),(315,1),(318,1),(375,1),(432,1),(436,1)}
       273:{1,3,6,7}:{(225,1),(226,1),(316,1),(318,1),(393,1)}
       274:{2,4}:{(227,1),(232,1),(320,1)}
       275:{2,3,5,7}:{(228,1),(229,1),(235,1),(322,1),(323,1),(325,1),(399,1),(401,1)}
       276:{2,4}:{(228,1),(236,1),(321,1)}
       277:{2,4,7}:{(229,1),(230,1),(237,1),(325,1),(327,1),(453,1)}
       278:{2,5}:{(230,1),(238,1)}
       279:{2,6}:{(231,1),(239,1),(327,1)}
       280:{1,2,5}:{(232,1),(250,1),(319,1),(328,1),(439,1)}
       281:{2,3,5}:{(232,1),(233,1),(252,1),(320,1),(328,1),(329,1),(347,1),(395,1),(439,1)}
       282:{1,3,4}:{(233,1),(236,1),(243,1),(321,1),(329,1)}
       283:{1,3,6}:{(234,1),(235,1),(244,1),(322,1),(331,1)}
       284:{1,4,7}:{(235,1),(236,1),(245,1),(323,1),(331,1)}
       285:{1,4,5}:{(236,1),(238,1),(246,1),(324,1),(333,1),(442,1)}
       286:{1,3,5,7}:{(237,1),(238,1),(247,1),(258,1),(325,1),(332,1),(334,1),(399,1),(414,1)}
       287:{1,3,5,6}:{(238,1),(239,1),(248,1),(259,1),(326,1),(333,1),(334,1),(335,1),(400,1),(408,1),(415,1),(440,1),(443,1)}
       288:{1,3,7}:{(239,1),(249,1),(260,1),(327,1)}
       289:{2,5,6}:{(240,1),(241,1),(261,1),(336,1),(340,1)}
       290:{3,6}:{(241,1),(242,1)}
       291:{3,4,7}:{(242,1),(243,1),(245,1),(337,1),(354,1)}
       292:{3,4,5}:{(243,1),(246,1),(264,1),(339,1),(442,1)}
       293:{2,4,6}:{(244,1),(245,1),(331,1),(337,1),(340,1)}
       294:{2,4,5,7}:{(245,1),(246,1),(247,1),(332,1),(338,1),(340,1),(341,1),(342,1),(413,1)}
       295:{2,4,6}:{(246,1),(248,1),(333,1),(339,1),(342,1)}
       296:{2,3,6}:{(247,1),(268,1),(334,1),(341,1),(356,1),(416,1)}
       297:{2,3,5,7}:{(248,1),(249,1),(269,1),(335,1),(342,1),(343,1),(357,1),(413,1),(417,1),(441,1)}
       298:{1,2,7}:{(250,1),(251,1),(344,1),(453,1)}
       299:{1,3,6}:{(250,1),(252,1),(328,1),(344,1),(345,1)}
       300:{2,3,7}:{(251,1),(252,1),(253,1),(344,1),(346,1),(453,1)}
       301:{2,4,6}:{(252,1),(254,1),(329,1),(345,1),(346,1),(347,1),(416,1)}
       302:{1,3,4,7}:{(253,1),(254,1),(256,1),(263,1),(346,1),(348,1)}
       303:{1,3,5}:{(254,1),(257,1),(264,1),(347,1)}
       304:{1,4,6,7}:{(255,1),(256,1),(265,1),(331,1),(350,1),(351,1)}
       305:{1,4,5,7}:{(256,1),(257,1),(258,1),(266,1),(348,1),(350,1),(351,1)}
       306:{1,4,5,6}:{(257,1),(259,1),(267,1),(333,1),(349,1),(351,1),(352,1),(408,1)}
       307:{1,6}:{(258,1),(268,1)}
       308:{1,5,7}:{(259,1),(260,1),(269,1),(353,1)}
       309:{3,5,7}:{(261,1),(262,1),(336,1),(354,1)}
       310:{3,4,6,7}:{(262,1),(263,1),(265,1),(337,1),(354,1),(355,1),(356,1),(398,1),(420,1),(444,1),(454,1)}
       311:{3,5,7}:{(263,1),(264,1),(266,1),(356,1)}
       312:{3,5,6}:{(264,1),(267,1),(339,1),(356,1),(357,1),(400,1)}
       313:{2,5,7}:{(265,1),(270,1),(340,1),(350,1),(355,1),(358,1),(401,1)}
       314:{2,4,6}:{(266,1),(268,1),(271,1),(351,1),(356,1),(358,1),(416,1),(420,1)}
       315:{2,4,5,7}:{(267,1),(269,1),(272,1),(342,1),(352,1),(357,1),(359,1),(403,1),(413,1),(417,1),(445,1),(447,1),(454,1)}
       316:{2,6,7}:{(268,1),(269,1),(273,1),(353,1)}
       317:{1,5,6}:{(270,1),(271,1),(358,1)}
       318:{1,4,6,7}:{(271,1),(272,1),(273,1),(359,1),(360,1),(448,1)}
       319:{1,2,4}:{(274,1),(280,1),(361,1),(370,1),(422,1)}
       320:{2,3}:{(274,1),(361,1)}
       321:{3,4}:{(276,1),(364,1)}
       322:{2,3,6}:{(275,1),(283,1),(365,1),(368,1),(426,1)}
       323:{2,4,7}:{(275,1),(276,1),(284,1),(363,1),(365,1)}
       324:{2,4,5}:{(276,1),(278,1),(285,1),(364,1),(367,1)}
       325:{2,5,7}:{(277,1),(278,1),(286,1),(368,1)}
       326:{2,5,6}:{(278,1),(279,1),(287,1),(367,1),(368,1),(369,1),(449,1)}
       327:{2,7}:{(279,1),(288,1)}
       328:{1,3,5}:{(280,1),(281,1),(299,1),(361,1),(370,1),(384,1)}
       329:{2,4}:{(281,1),(282,1),(370,1)}
       330:{1,3,4,5}:{(282,1),(285,1),(292,1),(303,1),(364,1),(371,1),(372,1),(423,1)}
       331:{1,4,6}:{(283,1),(284,1),(293,1),(365,1),(373,1)}
       332:{1,4,5,7}:{(284,1),(285,1),(286,1),(294,1),(366,1),(373,1),(374,1),(375,1),(432,1)}
       333:{1,4,6}:{(285,1),(287,1),(295,1),(367,1),(375,1),(451,1)}
       334:{1,3,6}:{(286,1),(296,1),(307,1),(368,1),(374,1),(426,1),(435,1)}
       335:{1,3,5,7}:{(287,1),(288,1),(297,1),(308,1),(369,1),(375,1),(376,1),(427,1),(432,1),(436,1),(450,1),(452,1)}
       336:{3,5,6}:{(289,1),(290,1),(309,1),(377,1),(378,1)}
       337:{3,4,6}:{(290,1),(291,1),(293,1),(377,1),(378,1)}
       338:{3,4,5,7}:{(291,1),(292,1),(294,1),(311,1),(378,1),(379,1),(380,1),(391,1),(434,1)}
       339:{3,4,6}:{(292,1),(295,1),(312,1),(380,1),(451,1)}
       340:{2,5}:{(293,1),(373,1),(378,1)}
       341:{2,4,6}:{(294,1),(296,1),(374,1),(379,1),(381,1)}
       342:{2,4,7}:{(295,1),(297,1),(375,1),(380,1)}
       343:{2,3,6,7}:{(296,1),(297,1),(316,1),(376,1),(382,1),(393,1),(437,1)}
       344:{1,3,7}:{(298,1),(299,1),(300,1),(383,1)}
       345:{1,4,6}:{(299,1),(301,1),(370,1),(383,1),(384,1),(435,1)}
       346:{2,4,7}:{(300,1),(301,1),(302,1),(383,1),(385,1)}
       347:{2,5}:{(301,1),(303,1),(384,1)}
       348:{1,3,5,7}:{(302,1),(303,1),(305,1),(311,1),(385,1),(387,1)}
       349:{1,3,5,6}:{(303,1),(306,1),(312,1),(372,1),(386,1),(387,1),(388,1)}
       350:{1,5,7}:{(304,1),(313,1),(373,1),(389,1)}
       351:{1,4,6}:{(305,1),(307,1),(314,1),(387,1),(389,1)}
       352:{1,4,5,7}:{(306,1),(308,1),(315,1),(375,1),(388,1),(390,1),(432,1)}
       353:{1,6,7}:{(307,1),(308,1),(316,1)}
       354:{4,7}:{(309,1),(377,1)}
       355:{3,5,7}:{(310,1),(313,1),(378,1),(391,1),(392,1),(425,1)}
       356:{3,6}:{(311,1),(314,1)}
       357:{3,5,7}:{(312,1),(315,1),(380,1),(393,1),(427,1)}
       358:{2,5,6}:{(313,1),(314,1),(317,1),(389,1),(392,1)}
       359:{2,4,6,7}:{(314,1),(315,1),(316,1),(318,1),(390,1),(393,1),(394,1),(437,1),(438,1)}
       360:{1,5,6,7}:{(317,1),(318,1),(394,1),(432,1)}
       361:{1,3}:{(319,1),(320,1),(395,1)}
       362:{2,3,4}:{(320,1),(321,1),(329,1),(396,1),(397,1)}
       363:{3,4,7}:{(321,1),(323,1),(398,1),(399,1),(454,1)}
       364:{3,5}:{(321,1),(324,1),(400,1)}
       365:{2,4,6}:{(322,1),(323,1),(331,1),(398,1),(401,1)}
       366:{2,4,5,7}:{(323,1),(324,1),(325,1),(332,1),(399,1),(401,1),(402,1),(403,1),(442,1),(445,1),(454,1)}
       367:{2,4,6}:{(324,1),(326,1),(333,1),(400,1),(403,1)}
       368:{2,6}:{(325,1),(334,1)}
       369:{2,5,7}:{(326,1),(327,1),(335,1),(403,1),(404,1),(453,1)}
       370:{1,4}:{(328,1),(329,1)}
       371:{2,4,5}:{(329,1),(330,1),(347,1),(397,1),(405,1),(406,1),(439,1)}
       372:{1,3,4,6}:{(330,1),(333,1),(339,1),(349,1),(400,1),(406,1),(407,1),(440,1)}
       373:{1,5}:{(331,1),(340,1),(401,1)}
       374:{1,4,6}:{(332,1),(334,1),(341,1),(402,1),(408,1)}
       375:{1,4,7}:{(333,1),(335,1),(342,1),(403,1),(454,1)}
       376:{1,3,6,7}:{(334,1),(335,1),(343,1),(353,1),(404,1),(409,1),(444,1),(448,1)}
       377:{4,6}:{(336,1),(354,1),(410,1)}
       378:{3,5}:{(337,1),(340,1),(410,1)}
       379:{3,4,6}:{(338,1),(341,1),(356,1),(411,1),(420,1)}
       380:{3,4,7}:{(339,1),(342,1),(357,1),(454,1)}
       381:{2,5,6}:{(340,1),(341,1),(408,1),(411,1),(413,1)}
       382:{2,4,6,7}:{(341,1),(342,1),(343,1),(409,1),(412,1),(413,1)}
       383:{1,4,7}:{(344,1),(345,1),(346,1),(414,1)}
       384:{1,5}:{(345,1),(347,1)}
       385:{2,5,7}:{(346,1),(347,1),(348,1),(414,1),(416,1)}
       386:{2,5,6}:{(347,1),(349,1),(406,1),(415,1),(416,1),(417,1)}
       387:{1,3,6}:{(348,1),(351,1),(356,1),(416,1)}
       388:{1,3,5,7}:{(349,1),(352,1),(357,1),(407,1),(417,1),(418,1)}
       389:{1,5,6}:{(350,1),(351,1),(358,1)}
       390:{1,4,6,7}:{(351,1),(352,1),(353,1),(359,1),(418,1),(419,1)}
       391:{4,5,7}:{(354,1),(355,1),(410,1),(420,1),(442,1),(454,1)}
       392:{3,5,6}:{(355,1),(356,1),(358,1),(420,1)}
       393:{3,6,7}:{(356,1),(357,1),(359,1)}
       394:{2,5,6,7}:{(358,1),(359,1),(360,1),(413,1),(419,1),(421,1),(445,1)}
       395:{2,3}:{(361,1),(422,1)}
       396:{1,3,4}:{(361,1),(362,1),(370,1),(422,1),(423,1)}
       397:{2,3,5}:{(362,1),(364,1),(371,1),(423,1),(424,1)}
       398:{3,4,6}:{(363,1),(365,1),(425,1),(426,1),(451,1)}
       399:{3,5,7}:{(363,1),(364,1),(366,1),(425,1),(426,1),(427,1)}
       400:{3,6}:{(364,1),(367,1),(427,1)}
       401:{2,5}:{(365,1),(373,1),(425,1)}
       402:{2,4,6}:{(366,1),(368,1),(374,1),(426,1),(428,1),(451,1)}
       403:{2,4,7}:{(367,1),(369,1),(375,1),(427,1)}
       404:{2,6,7}:{(368,1),(369,1),(376,1)}
       405:{1,4,5}:{(370,1),(371,1),(384,1),(423,1),(430,1)}
       406:{2,4,6}:{(371,1),(372,1),(386,1),(424,1),(430,1),(431,1),(449,1)}
       407:{1,3,4,7}:{(372,1),(375,1),(380,1),(388,1),(427,1),(431,1),(450,1)}
       408:{1,5,6}:{(373,1),(374,1),(381,1),(428,1),(432,1)}
       409:{1,4,6,7}:{(374,1),(375,1),(376,1),(382,1),(429,1),(432,1)}
       410:{4,5}:{(377,1),(378,1)}
       411:{3,5,6}:{(378,1),(379,1),(381,1),(433,1),(434,1)}
       412:{3,4,6,7}:{(379,1),(380,1),(382,1),(393,1),(434,1),(438,1)}
       413:{2,5,7}:{(381,1),(382,1),(432,1),(434,1)}
       414:{1,5,7}:{(383,1),(384,1),(385,1),(435,1)}
       415:{1,5,6}:{(384,1),(386,1),(430,1),(435,1),(436,1)}
       416:{2,6}:{(385,1),(387,1),(435,1)}
       417:{2,5,7}:{(386,1),(388,1),(431,1),(436,1),(437,1)}
       418:{1,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(437,1)}
       419:{1,5,6,7}:{(389,1),(390,1),(394,1),(432,1)}
       420:{4,6}:{(391,1),(392,1)}
       421:{3,5,6,7}:{(392,1),(393,1),(394,1),(434,1),(438,1),(452,1)}
       422:{2,4}:{(395,1),(396,1),(439,1)}
       423:{1,3,5}:{(396,1),(397,1),(405,1),(439,1),(440,1)}
       424:{2,3,6}:{(397,1),(400,1),(406,1),(440,1),(441,1)}
       425:{3,5}:{(398,1),(401,1),(442,1)}
       426:{3,6}:{(399,1),(402,1)}
       427:{3,7}:{(400,1),(403,1)}
       428:{2,5,6}:{(401,1),(402,1),(408,1),(443,1),(445,1)}
       429:{2,4,6,7}:{(402,1),(403,1),(404,1),(409,1),(444,1),(445,1),(454,1)}
       430:{1,4,6}:{(405,1),(406,1),(415,1),(440,1),(446,1)}
       431:{2,4,7}:{(406,1),(407,1),(417,1),(441,1),(446,1),(453,1)}
       432:{1,5,7}:{(408,1),(409,1),(413,1),(445,1)}
       433:{4,5,6}:{(410,1),(411,1),(420,1),(447,1)}
       434:{3,5,7}:{(411,1),(412,1),(413,1),(447,1)}
       435:{1,6}:{(414,1),(416,1)}
       436:{1,5,7}:{(415,1),(417,1),(446,1),(448,1)}
       437:{2,6,7}:{(416,1),(417,1),(418,1),(448,1)}
       438:{4,6,7}:{(420,1),(421,1),(447,1),(454,1)}
       439:{2,5}:{(422,1),(423,1),(449,1)}
       440:{1,3,6}:{(423,1),(424,1),(430,1),(449,1),(450,1)}
       441:{2,3,7}:{(424,1),(427,1),(431,1),(450,1)}
       442:{4,5}:{(425,1),(451,1)}
       443:{3,5,6}:{(425,1),(426,1),(428,1),(451,1),(452,1)}
       444:{3,6,7}:{(426,1),(427,1),(429,1),(452,1)}
       445:{2,5,7}:{(428,1),(429,1),(432,1),(452,1)}
       446:{1,4,7}:{(430,1),(431,1),(436,1),(450,1)}
       447:{4,5,7}:{(433,1),(434,1),(438,1)}
       448:{1,6,7}:{(435,1),(436,1),(437,1)}
       449:{2,6}:{(439,1),(440,1),(453,1)}
       450:{1,3,7}:{(440,1),(441,1),(446,1),(453,1)}
       451:{4,6}:{(442,1),(443,1),(454,1)}
       452:{3,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       453:{2,7}:{(449,1),(450,1)}
       454:{4,7}:{(451,1),(452,1)}

1046 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1047 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(22,1),(50,1),(122,1),(131,1),(132,1),(135,1),(137,1),(200,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(25,1),(31,1),(34,1),(74,1),(78,1),(81,1),(83,1),(89,1),(142,1),(157,1),(161,1),(170,1),(172,1),(221,1),(228,1),(269,1),(282,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(34,1),(40,1),(81,1),(93,1),(98,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(10,1),(35,1),(97,1),(99,1),(163,1),(173,1),(233,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(50,1),(115,1),(194,1),(200,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(13,1),(15,1),(19,1),(48,1),(56,1),(60,1),(110,1),(134,1),(179,1),(199,1),(246,1),(298,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(200,1),(206,1),(208,1),(260,1)}
         7:{1,4,5,7}:{(2,1),(17,1),(19,1),(47,1),(65,1),(118,1),(131,1),(135,1)}
         8:{2,4,6}:{(2,1),(3,1),(18,1),(19,1),(21,1),(60,1)}
         9:{1,3,4,6,7}:{(3,1),(20,1),(22,1),(61,1),(70,1),(135,1),(137,1),(141,1),(208,1)}
        10:{1,3,5,6}:{(3,1),(21,1),(22,1),(23,1),(50,1),(69,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(89,1),(168,1),(228,1),(238,1),(273,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(34,1),(81,1),(90,1),(142,1),(146,1),(169,1),(220,1)}
        13:{1,3,6}:{(4,1),(5,1),(28,1),(173,1),(233,1),(270,1)}
        14:{1,2,4,6,7}:{(5,1),(29,1),(31,1),(38,1),(80,1),(89,1),(94,1),(150,1),(172,1),(214,1),(269,1)}
        15:{1,2,5,6}:{(5,1),(30,1),(31,1),(39,1),(81,1),(95,1),(151,1),(157,1),(160,1),(215,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(98,1),(146,1),(168,1),(236,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1),(92,1),(282,1)}
        18:{2,3,6}:{(6,1),(8,1),(35,1),(173,1),(233,1),(281,1)}
        19:{1,4,6}:{(7,1),(8,1),(35,1),(39,1)}
        20:{2,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(40,1),(94,1),(98,1),(172,1)}
        21:{2,5,6}:{(8,1),(10,1),(39,1),(40,1),(81,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(40,1),(43,1),(104,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(97,1),(163,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(113,1),(122,1),(186,1),(187,1),(200,1),(247,1),(249,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(12,1),(47,1),(48,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(13,1),(48,1),(50,1),(56,1),(128,1)}
        27:{1,3,5,7}:{(12,1),(47,1),(51,1),(52,1),(115,1),(118,1),(194,1)}
        28:{2,3,6}:{(12,1),(13,1),(48,1),(52,1),(60,1),(179,1)}
        29:{1,3,6,7}:{(13,1),(14,1),(53,1),(55,1),(208,1),(288,1),(298,1)}
        30:{1,3,5,6}:{(13,1),(15,1),(50,1),(54,1),(55,1),(56,1),(194,1),(261,1),(263,1),(298,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(55,1),(65,1),(119,1),(133,1),(188,1),(245,1),(299,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(47,1),(57,1),(58,1),(115,1),(135,1),(208,1),(264,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(48,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(209,1),(250,1),(265,1)}
        34:{2,5,7}:{(17,1),(57,1),(60,1),(130,1)}
        35:{1,3,6}:{(17,1),(18,1),(19,1),(60,1),(298,1)}
        36:{2,3,6,7}:{(18,1),(20,1),(61,1),(63,1),(141,1),(208,1),(212,1)}
        37:{2,3,5,6}:{(18,1),(21,1),(59,1),(62,1),(63,1),(64,1),(69,1),(140,1),(209,1)}
        38:{1,4,6,7}:{(19,1),(20,1),(61,1),(65,1),(135,1)}
        39:{1,5,6}:{(19,1),(21,1),(65,1),(118,1)}
        40:{2,5,7}:{(20,1),(21,1),(22,1),(65,1)}
        41:{2,4,5,6}:{(21,1),(23,1),(64,1),(66,1),(68,1),(69,1),(120,1),(134,1),(140,1),(199,1)}
        42:{1,3,5,6,7}:{(22,1),(67,1),(70,1),(121,1),(141,1)}
        43:{1,4,5,7}:{(22,1),(23,1),(68,1),(70,1),(135,1),(213,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(168,1),(218,1),(236,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(74,1),(75,1),(81,1),(142,1),(149,1),(152,1),(218,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(75,1),(77,1),(143,1),(163,1),(217,1),(219,1),(233,1),(270,1)}
        47:{1,4,7}:{(25,1),(27,1),(79,1),(228,1)}
        48:{2,4,6}:{(25,1),(26,1),(28,1),(79,1),(81,1)}
        49:{1,3,4,6,7}:{(26,1),(29,1),(80,1),(82,1),(89,1),(163,1),(168,1),(233,1)}
        50:{1,3,5}:{(26,1),(81,1),(83,1),(162,1)}
        51:{1,2,5,7}:{(27,1),(34,1),(78,1),(84,1),(142,1),(157,1),(282,1)}
        52:{1,3,6}:{(27,1),(28,1),(79,1),(84,1)}
        53:{2,3,6,7}:{(28,1),(29,1),(80,1),(85,1),(87,1),(94,1),(214,1),(233,1),(281,1)}
        54:{2,3,5,6}:{(28,1),(30,1),(81,1),(86,1),(87,1),(88,1),(95,1),(160,1),(162,1),(169,1),(173,1),(215,1),(220,1),(232,1),(233,1),(235,1),(270,1),(281,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(31,1),(87,1),(89,1),(282,1),(283,1)}
        56:{1,4,6}:{(30,1),(83,1),(88,1),(89,1),(228,1)}
        57:{2,4,7}:{(32,1),(34,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(35,1),(79,1),(91,1),(92,1),(97,1),(156,1),(173,1),(228,1),(237,1),(238,1),(242,1),(285,1)}
        59:{2,3,5}:{(33,1),(81,1),(92,1),(93,1),(162,1),(232,1)}
        60:{2,6}:{(34,1),(35,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(38,1),(94,1),(96,1),(244,1)}
        62:{1,3,5,6}:{(35,1),(37,1),(39,1),(92,1),(95,1),(96,1),(97,1),(173,1),(178,1),(242,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(40,1),(96,1),(98,1),(104,1),(177,1),(241,1)}
        64:{2,4,6}:{(37,1),(93,1),(97,1),(98,1),(99,1)}
        65:{1,5,7}:{(38,1),(39,1),(40,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(97,1),(101,1),(102,1),(159,1),(230,1)}
        67:{2,5,6,7}:{(40,1),(42,1),(100,1),(103,1),(160,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(98,1),(101,1),(103,1),(104,1),(172,1),(177,1)}
        69:{3,5,6}:{(41,1),(99,1),(104,1),(162,1),(173,1),(233,1)}
        70:{1,4,6,7}:{(42,1),(43,1),(103,1),(163,1),(244,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(200,1),(251,1),(260,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(47,1),(105,1),(107,1),(108,1),(115,1),(247,1),(264,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(48,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(289,1),(292,1)}
        74:{1,4,5,7}:{(45,1),(47,1),(105,1),(110,1),(118,1),(186,1),(188,1),(247,1)}
        75:{2,4,6}:{(45,1),(46,1),(106,1),(110,1),(112,1),(179,1)}
        76:{1,3,4,6,7}:{(46,1),(111,1),(113,1),(180,1),(193,1),(247,1),(249,1),(256,1),(288,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(112,1),(113,1),(114,1),(192,1)}
        78:{1,2,4,7}:{(47,1),(51,1),(57,1),(107,1),(115,1),(116,1),(264,1),(299,1)}
        79:{1,4,6}:{(47,1),(48,1),(52,1),(118,1)}
        80:{2,4,6,7}:{(48,1),(49,1),(53,1),(117,1),(119,1),(127,1),(199,1)}
        81:{2,5}:{(48,1),(50,1),(118,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(119,1),(121,1),(122,1),(200,1)}
        83:{1,4,5}:{(50,1),(56,1),(120,1),(261,1)}
        84:{1,2,6}:{(51,1),(52,1),(60,1),(179,1),(298,1)}
        85:{1,3,6,7}:{(52,1),(53,1),(117,1),(123,1),(125,1),(259,1)}
        86:{1,3,5,6}:{(52,1),(54,1),(118,1),(124,1),(125,1),(126,1),(194,1),(196,1),(198,1),(202,1),(259,1)}
        87:{2,3,5,7}:{(53,1),(54,1),(55,1),(119,1),(125,1),(127,1),(133,1),(200,1),(208,1),(245,1),(260,1),(262,1),(288,1)}
        88:{2,4,6}:{(54,1),(56,1),(120,1),(126,1),(127,1),(128,1),(205,1),(250,1)}
        89:{1,4,7}:{(55,1),(56,1),(127,1)}
        90:{2,3,7}:{(57,1),(115,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(60,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(118,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(61,1),(133,1)}
        95:{2,5,6}:{(60,1),(62,1),(130,1),(133,1),(134,1),(268,1)}
        96:{1,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(133,1),(135,1),(208,1),(213,1),(267,1)}
        97:{1,4,6}:{(62,1),(64,1),(131,1),(134,1),(135,1)}
        98:{2,4,7}:{(63,1),(64,1),(135,1),(137,1)}
        99:{3,4,6}:{(64,1),(69,1),(132,1),(137,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(196,1)}
       101:{1,4,5,7}:{(65,1),(66,1),(68,1),(135,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(66,1),(69,1),(136,1),(139,1),(140,1),(198,1),(259,1)}
       103:{2,4,6,7}:{(67,1),(68,1),(70,1),(138,1),(141,1),(199,1),(212,1)}
       104:{3,5,7}:{(68,1),(69,1),(137,1),(141,1),(208,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(142,1),(143,1),(148,1),(282,1)}
       106:{2,3,6}:{(71,1),(75,1),(143,1),(233,1),(270,1),(281,1)}
       107:{2,4,7}:{(72,1),(142,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(79,1),(143,1),(147,1),(148,1),(156,1),(217,1),(228,1),(237,1),(270,1),(273,1),(302,1),(304,1)}
       109:{2,3,5}:{(73,1),(81,1),(148,1),(149,1),(162,1),(232,1)}
       110:{1,4,6}:{(74,1),(75,1),(143,1),(151,1)}
       111:{2,4,6,7}:{(75,1),(76,1),(144,1),(150,1),(152,1),(214,1),(218,1),(269,1)}
       112:{2,5,6}:{(75,1),(77,1),(81,1),(151,1),(152,1)}
       113:{1,3,5,7}:{(76,1),(77,1),(152,1),(155,1),(227,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(163,1),(217,1),(278,1)}
       115:{1,3,7}:{(78,1),(90,1),(146,1),(156,1)}
       116:{1,2,4,6}:{(78,1),(79,1),(84,1),(91,1),(147,1),(156,1),(157,1),(228,1),(237,1),(284,1),(307,1)}
       117:{1,4,6,7}:{(79,1),(80,1),(85,1),(158,1),(166,1),(230,1)}
       118:{1,5}:{(79,1),(81,1)}
       119:{2,5,7}:{(80,1),(81,1),(82,1),(158,1),(160,1)}
       120:{2,4,5}:{(81,1),(83,1),(88,1),(159,1),(162,1),(232,1)}
       121:{1,3,5,6}:{(82,1),(160,1),(163,1),(233,1)}
       122:{1,4,5,7}:{(82,1),(83,1),(89,1),(161,1),(163,1),(282,1)}
       123:{1,2,6,7}:{(84,1),(85,1),(94,1),(164,1),(214,1),(244,1),(281,1),(306,1)}
       124:{1,2,5,6}:{(84,1),(86,1),(95,1),(157,1),(164,1),(165,1),(178,1),(215,1),(232,1),(278,1),(281,1)}
       125:{1,3,5,7}:{(85,1),(86,1),(87,1),(158,1),(164,1),(166,1),(234,1)}
       126:{1,4,6}:{(86,1),(88,1),(159,1),(166,1),(228,1)}
       127:{2,4,7}:{(87,1),(88,1),(89,1),(166,1),(168,1)}
       128:{3,4,6}:{(88,1),(162,1),(168,1),(173,1),(233,1),(238,1),(270,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(156,1),(169,1),(173,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(97,1),(170,1),(228,1)}
       132:{3,4,5}:{(93,1),(99,1),(162,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(96,1),(172,1),(287,1)}
       134:{2,4,6}:{(95,1),(97,1),(170,1),(172,1),(173,1)}
       135:{1,4,7}:{(96,1),(97,1),(98,1),(172,1)}
       136:{1,3,4,6}:{(97,1),(99,1),(102,1),(171,1),(173,1),(174,1),(175,1),(242,1)}
       137:{3,4,7}:{(98,1),(99,1),(104,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(103,1),(176,1),(230,1)}
       139:{1,3,5,7}:{(101,1),(102,1),(104,1),(174,1),(176,1),(177,1)}
       140:{2,5,6}:{(102,1),(175,1),(177,1),(178,1),(232,1),(281,1)}
       141:{3,6,7}:{(103,1),(104,1),(233,1)}
       142:{2,5,7}:{(105,1),(107,1),(179,1),(185,1)}
       143:{1,3,6}:{(105,1),(106,1),(110,1),(179,1),(298,1)}
       144:{2,3,6,7}:{(106,1),(111,1),(180,1),(182,1),(256,1),(288,1),(294,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(112,1),(181,1),(182,1),(183,1),(192,1),(255,1),(289,1)}
       146:{2,3,7}:{(107,1),(115,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(179,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(118,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,4,6,7}:{(110,1),(111,1),(180,1),(188,1),(247,1)}
       151:{1,5,6}:{(110,1),(112,1),(118,1),(188,1)}
       152:{2,5,7}:{(111,1),(112,1),(113,1),(188,1)}
       153:{2,4,5,6}:{(112,1),(114,1),(120,1),(183,1),(189,1),(191,1),(192,1),(199,1),(246,1),(255,1)}
       154:{1,3,5,6,7}:{(113,1),(121,1),(190,1),(193,1),(256,1)}
       155:{1,4,5,7}:{(113,1),(114,1),(191,1),(193,1),(247,1),(295,1)}
       156:{1,3,6}:{(115,1),(116,1),(129,1),(184,1),(194,1),(312,1)}
       157:{1,2,5}:{(116,1),(118,1),(130,1),(185,1),(194,1),(261,1)}
       158:{1,5,7}:{(117,1),(118,1),(119,1),(196,1)}
       159:{1,4,5}:{(118,1),(120,1),(126,1),(198,1)}
       160:{2,5,6}:{(119,1),(121,1),(196,1),(199,1)}
       161:{2,4,5,7}:{(119,1),(120,1),(122,1),(127,1),(197,1),(199,1),(200,1),(260,1)}
       162:{3,5}:{(120,1),(128,1)}
       163:{1,4,6}:{(121,1),(122,1),(199,1),(298,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(125,1),(133,1),(201,1),(213,1),(245,1),(260,1),(295,1)}
       165:{1,2,4,6}:{(124,1),(126,1),(134,1),(195,1),(201,1),(202,1),(204,1),(211,1),(246,1),(268,1),(291,1),(310,1)}
       166:{1,4,7}:{(125,1),(126,1),(127,1)}
       167:{1,3,4,6}:{(126,1),(128,1),(198,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       168:{3,4,7}:{(127,1),(128,1),(200,1),(208,1),(288,1)}
       169:{2,3,5}:{(129,1),(130,1),(194,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(134,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(136,1),(198,1),(206,1),(207,1),(257,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(135,1),(208,1)}
       173:{3,6}:{(134,1),(206,1),(208,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(137,1),(139,1),(208,1),(210,1),(267,1)}
       175:{2,4,6}:{(136,1),(140,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(141,1),(212,1),(259,1)}
       177:{2,5,7}:{(139,1),(140,1),(210,1),(212,1),(213,1)}
       178:{1,5,6}:{(140,1),(211,1),(213,1),(261,1),(298,1)}
       179:{2,6}:{(142,1),(143,1)}
       180:{1,3,6,7}:{(143,1),(144,1),(150,1),(214,1),(216,1),(306,1)}
       181:{1,3,5,6}:{(143,1),(145,1),(148,1),(151,1),(215,1),(216,1),(217,1),(270,1),(278,1),(302,1)}
       182:{2,3,5,7}:{(144,1),(145,1),(152,1),(216,1),(218,1),(227,1),(277,1),(301,1)}
       183:{2,4,6}:{(145,1),(149,1),(217,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(156,1),(220,1),(270,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(217,1),(221,1),(228,1)}
       187:{3,4,5}:{(149,1),(162,1),(219,1),(238,1)}
       188:{1,5,7}:{(150,1),(151,1),(152,1)}
       189:{1,4,5,6}:{(151,1),(153,1),(159,1),(217,1),(224,1),(225,1),(230,1)}
       190:{2,5,6,7}:{(152,1),(154,1),(160,1),(223,1),(226,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(218,1),(224,1),(226,1),(227,1),(269,1),(277,1)}
       192:{3,5,6}:{(153,1),(162,1),(219,1),(227,1),(233,1),(270,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(163,1),(226,1),(306,1)}
       194:{1,3,5}:{(156,1),(157,1),(169,1),(220,1),(228,1)}
       195:{1,2,4,5}:{(157,1),(159,1),(165,1),(170,1),(221,1),(228,1),(229,1),(232,1),(240,1),(275,1),(279,1),(286,1),(305,1),(307,1)}
       196:{1,5,6}:{(158,1),(160,1),(230,1)}
       197:{1,4,5,7}:{(158,1),(159,1),(161,1),(166,1),(230,1),(231,1)}
       198:{1,3,5}:{(159,1),(162,1),(167,1),(232,1)}
       199:{2,4,6}:{(160,1),(161,1),(163,1),(230,1),(233,1),(281,1)}
       200:{3,5,7}:{(161,1),(162,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(166,1),(172,1),(234,1),(236,1),(243,1),(269,1),(287,1),(303,1),(313,1)}
       202:{1,3,6}:{(165,1),(173,1),(229,1),(234,1),(235,1),(270,1)}
       203:{1,3,4,7}:{(166,1),(167,1),(168,1),(231,1),(234,1),(236,1)}
       204:{2,4,6}:{(167,1),(232,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(228,1),(238,1)}
       206:{3,5}:{(170,1),(173,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(232,1),(239,1),(240,1),(279,1),(286,1)}
       208:{3,7}:{(172,1),(173,1)}
       209:{2,3,6}:{(173,1),(175,1),(239,1),(241,1),(242,1)}
       210:{2,4,7}:{(174,1),(175,1),(177,1),(241,1),(243,1),(287,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(281,1)}
       213:{1,5,7}:{(177,1),(178,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(180,1),(245,1)}
       215:{2,5,6}:{(179,1),(181,1),(185,1),(245,1),(246,1),(310,1)}
       216:{1,3,5,7}:{(180,1),(181,1),(182,1),(188,1),(245,1),(247,1),(288,1),(295,1),(309,1)}
       217:{1,4,6}:{(181,1),(183,1),(186,1),(246,1),(247,1)}
       218:{2,4,7}:{(182,1),(183,1),(247,1),(249,1)}
       219:{3,4,6}:{(183,1),(187,1),(192,1),(249,1)}
       220:{2,3,5}:{(184,1),(185,1),(194,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(246,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(198,1),(248,1),(251,1),(252,1),(257,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{1,4,5,7}:{(188,1),(189,1),(191,1),(247,1),(253,1),(254,1)}
       225:{1,3,5,6}:{(189,1),(192,1),(198,1),(248,1),(254,1),(255,1),(259,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(253,1),(256,1),(294,1)}
       227:{3,5,7}:{(191,1),(192,1),(249,1),(256,1),(288,1)}
       228:{1,4}:{(194,1),(205,1),(250,1)}
       229:{1,3,5}:{(195,1),(202,1),(206,1),(251,1),(257,1),(258,1),(312,1)}
       230:{1,4,6}:{(196,1),(197,1),(199,1),(259,1)}
       231:{1,3,5,7}:{(197,1),(198,1),(200,1),(203,1),(259,1),(260,1)}
       232:{2,5}:{(198,1),(204,1),(261,1)}
       233:{3,6}:{(199,1),(200,1)}
       234:{1,3,7}:{(201,1),(202,1),(208,1),(262,1),(288,1)}
       235:{2,3,6}:{(202,1),(204,1),(258,1),(262,1),(263,1),(268,1),(310,1)}
       236:{2,4,7}:{(203,1),(204,1),(260,1),(262,1),(264,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(298,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(209,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(296,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,3,6}:{(209,1),(211,1),(266,1),(267,1),(268,1)}
       243:{1,4,7}:{(210,1),(211,1),(213,1),(267,1)}
       244:{1,6,7}:{(212,1),(213,1),(298,1)}
       245:{2,5,7}:{(214,1),(215,1),(216,1),(269,1),(313,1)}
       246:{2,4,6}:{(215,1),(217,1),(221,1),(269,1),(270,1)}
       247:{1,4,7}:{(216,1),(217,1),(218,1),(269,1)}
       248:{1,3,4,6}:{(217,1),(219,1),(222,1),(225,1),(270,1),(271,1),(272,1),(302,1)}
       249:{3,4,7}:{(218,1),(219,1),(227,1)}
       250:{2,4}:{(220,1),(228,1),(273,1)}
       251:{3,5}:{(221,1),(270,1),(273,1)}
       252:{2,4,5}:{(222,1),(232,1),(272,1),(274,1),(275,1),(279,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(226,1),(230,1),(276,1)}
       254:{1,3,5,7}:{(224,1),(225,1),(227,1),(271,1),(276,1),(277,1)}
       255:{2,5,6}:{(225,1),(232,1),(272,1),(277,1),(278,1),(281,1)}
       256:{3,6,7}:{(226,1),(227,1),(233,1)}
       257:{1,3,4}:{(228,1),(229,1),(238,1),(273,1),(279,1)}
       258:{2,3,5}:{(229,1),(232,1),(235,1),(279,1),(280,1),(286,1),(305,1),(308,1),(314,1)}
       259:{1,3,6}:{(230,1),(231,1),(233,1),(281,1)}
       260:{2,5,7}:{(231,1),(232,1),(236,1),(281,1),(282,1)}
       261:{1,5}:{(232,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,3,6}:{(235,1),(237,1),(280,1),(283,1),(284,1)}
       264:{1,4,7}:{(236,1),(237,1),(282,1),(283,1)}
       265:{2,3,4}:{(238,1),(239,1),(279,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(242,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(242,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(247,1),(288,1)}
       270:{3,6}:{(246,1),(251,1),(288,1)}
       271:{1,3,4,7}:{(247,1),(248,1),(249,1),(254,1),(288,1),(290,1),(309,1)}
       272:{2,4,6}:{(248,1),(252,1),(255,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(289,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(296,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(256,1),(259,1),(294,1)}
       277:{2,5,7}:{(254,1),(255,1),(290,1),(294,1),(295,1)}
       278:{1,5,6}:{(255,1),(261,1),(291,1),(295,1),(298,1)}
       279:{2,4}:{(257,1),(258,1),(296,1)}
       280:{1,3,5}:{(258,1),(261,1),(263,1),(296,1),(297,1),(312,1)}
       281:{2,6}:{(259,1),(260,1),(298,1)}
       282:{1,5,7}:{(260,1),(261,1),(264,1),(298,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(263,1),(268,1),(297,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(296,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(270,1)}
       289:{2,3,6}:{(270,1),(272,1),(274,1),(301,1),(302,1)}
       290:{2,4,7}:{(271,1),(272,1),(277,1),(301,1),(303,1),(313,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(279,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(302,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(281,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(303,1),(306,1)}
       296:{1,4}:{(279,1),(280,1)}
       297:{1,2,5}:{(280,1),(284,1),(286,1),(305,1),(307,1)}
       298:{1,6}:{(281,1),(282,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,3,6}:{(289,1),(291,1),(293,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(295,1),(309,1)}
       304:{1,3,4}:{(292,1),(293,1),(296,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(298,1)}
       307:{1,2,4}:{(296,1),(297,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(302,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1048 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1049 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1050 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(27,1),(35,1),(68,1),(78,1),(83,1),(88,1),(118,1),(125,1),(224,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(15,1),(21,1),(50,1),(59,1),(63,1),(95,1),(105,1),(112,1),(115,1),(156,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(53,1),(103,1),(147,1),(155,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(125,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(124,1),(134,1),(183,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(68,1),(117,1)}
         7:{1,2,4,6,7}:{(4,1),(15,1),(16,1),(45,1),(48,1),(50,1),(105,1),(156,1),(157,1),(161,1),(164,1),(208,1),(209,1),(233,1),(241,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(53,1),(103,1),(104,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(15,1),(24,1),(59,1),(96,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(155,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(50,1),(94,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(53,1),(93,1),(147,1)}
        15:{1,3,6,7}:{(7,1),(11,1),(27,1),(30,1),(70,1),(126,1),(187,1),(224,1),(244,1)}
        16:{1,2,5,7}:{(7,1),(12,1),(28,1),(30,1),(67,1),(134,1),(183,1),(189,1),(222,1),(239,1)}
        17:{1,3,5,6,7}:{(8,1),(9,1),(33,1),(34,1),(76,1),(77,1),(134,1),(135,1)}
        18:{2,4,6,7}:{(8,1),(10,1),(32,1),(34,1),(35,1)}
        19:{2,4,5,6}:{(10,1),(32,1),(36,1),(37,1),(80,1),(117,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(29,1),(41,1),(42,1),(82,1),(86,1),(122,1),(125,1),(144,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(30,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(73,1),(76,1),(89,1),(124,1),(132,1),(136,1),(188,1),(190,1),(224,1),(225,1)}
        27:{2,3,6,7}:{(15,1),(45,1),(46,1),(96,1),(150,1),(164,1),(203,1)}
        28:{1,2,5,6}:{(16,1),(20,1),(47,1),(48,1),(91,1),(108,1),(155,1),(157,1),(167,1),(205,1),(206,1),(231,1)}
        29:{1,3,4,6,7}:{(15,1),(23,1),(45,1),(49,1),(50,1),(93,1),(95,1),(98,1),(150,1),(152,1),(156,1),(201,1),(208,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(24,1),(46,1),(47,1),(50,1)}
        31:{1,2,4,5,7}:{(16,1),(25,1),(48,1),(50,1),(51,1),(65,1),(92,1),(94,1),(100,1),(116,1),(155,1),(160,1),(161,1),(202,1),(206,1),(209,1),(210,1),(229,1),(234,1),(241,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(52,1),(53,1),(103,1),(209,1)}
        33:{2,5,6,7}:{(17,1),(20,1),(54,1),(103,1),(164,1)}
        34:{1,4,6,7}:{(17,1),(18,1),(21,1),(52,1),(54,1)}
        35:{3,4,6,7}:{(18,1),(22,1),(53,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(52,1),(56,1),(57,1),(94,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(53,1),(147,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(47,1),(58,1),(59,1),(96,1),(110,1),(155,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(49,1),(61,1),(62,1),(110,1),(155,1),(168,1),(204,1)}
        42:{2,4,7}:{(24,1),(50,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(100,1),(103,1),(116,1),(155,1),(162,1),(165,1),(209,1),(210,1)}
        45:{2,4,6,7}:{(27,1),(29,1),(67,1),(68,1),(120,1),(125,1),(180,1),(221,1)}
        46:{2,3,5,7}:{(27,1),(30,1),(66,1),(67,1),(68,1),(121,1),(189,1),(224,1)}
        47:{1,3,5,6}:{(28,1),(30,1),(38,1),(66,1),(69,1),(70,1),(124,1),(126,1),(183,1),(223,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(39,1),(69,1),(70,1),(84,1),(120,1),(125,1),(143,1),(186,1),(191,1),(221,1),(237,1)}
        49:{1,3,5,7}:{(29,1),(41,1),(67,1),(71,1),(72,1),(121,1),(124,1),(183,1),(222,1)}
        50:{1,4,7}:{(30,1),(42,1),(68,1),(69,1)}
        51:{1,3,5,7}:{(31,1),(43,1),(70,1),(73,1),(74,1),(121,1),(124,1),(187,1),(223,1),(224,1),(225,1),(238,1),(244,1)}
        52:{1,4,5,7}:{(32,1),(34,1),(36,1),(75,1),(76,1),(134,1),(188,1)}
        53:{3,5,7}:{(32,1),(35,1),(37,1),(224,1)}
        54:{2,4,6,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(40,1),(76,1),(77,1),(78,1),(132,1),(135,1),(188,1),(224,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(75,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(76,1),(79,1),(80,1),(124,1)}
        58:{2,4,6}:{(38,1),(42,1),(69,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(71,1),(86,1),(140,1),(178,1),(182,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(72,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(224,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(130,1),(134,1),(183,1),(188,1),(190,1)}
        66:{2,3,5,6}:{(46,1),(47,1),(90,1),(91,1),(96,1),(147,1),(150,1),(155,1),(167,1),(211,1),(212,1)}
        67:{2,5,7}:{(45,1),(49,1),(91,1),(155,1)}
        68:{2,4,7}:{(46,1),(50,1),(90,1),(93,1)}
        69:{1,4,6}:{(47,1),(50,1),(58,1),(90,1),(94,1),(234,1)}
        70:{1,3,6}:{(48,1),(51,1),(59,1),(96,1),(150,1),(211,1),(242,1)}
        71:{1,3,5,6}:{(49,1),(61,1),(91,1),(98,1),(150,1),(201,1),(205,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(62,1),(92,1),(94,1),(98,1)}
        73:{1,3,4,7}:{(50,1),(51,1),(63,1),(93,1),(95,1),(100,1),(234,1),(235,1),(243,1)}
        74:{2,3,5,7}:{(51,1),(96,1),(100,1),(101,1),(116,1),(155,1),(171,1),(202,1),(203,1),(212,1),(232,1)}
        75:{2,4,5,7}:{(52,1),(54,1),(56,1),(102,1),(103,1),(162,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(57,1),(102,1),(103,1)}
        77:{3,6,7}:{(54,1),(59,1),(102,1)}
        78:{2,4,6,7}:{(55,1),(60,1),(103,1),(104,1),(105,1),(162,1),(164,1),(209,1)}
        79:{3,5,6}:{(56,1),(59,1),(102,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(103,1),(108,1),(155,1)}
        81:{2,4,5}:{(58,1),(94,1),(110,1),(155,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(97,1),(113,1),(168,1),(200,1),(204,1)}
        86:{2,4,6}:{(61,1),(62,1),(98,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(100,1),(111,1),(115,1),(162,1),(203,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{2,4,6}:{(66,1),(68,1),(69,1),(117,1),(118,1),(226,1)}
        91:{2,5,6}:{(67,1),(71,1),(120,1),(221,1)}
        92:{2,4,5,7}:{(67,1),(68,1),(72,1),(117,1),(120,1),(121,1)}
        93:{3,4,7}:{(68,1),(118,1),(121,1),(224,1)}
        94:{1,4,5}:{(69,1),(81,1),(117,1),(124,1),(183,1)}
        95:{1,3,4,6}:{(69,1),(70,1),(73,1),(82,1),(118,1),(124,1),(125,1)}
        96:{2,3,6}:{(70,1),(74,1),(125,1),(126,1),(143,1),(221,1)}
        97:{1,3,5,6,7}:{(71,1),(85,1),(119,1),(127,1),(177,1),(181,1),(220,1),(222,1)}
        98:{1,4,6}:{(71,1),(72,1),(86,1),(120,1)}
        99:{1,3,4,5,7}:{(72,1),(73,1),(87,1),(121,1),(124,1),(128,1),(129,1),(172,1),(179,1),(181,1),(213,1),(215,1),(236,1),(238,1),(244,1)}
       100:{2,4,7}:{(73,1),(74,1),(125,1),(130,1),(226,1),(240,1)}
       101:{1,3,5,7}:{(74,1),(126,1),(130,1),(131,1),(183,1),(187,1),(223,1)}
       102:{3,5,7}:{(75,1),(77,1),(79,1),(132,1)}
       103:{2,5,7}:{(76,1),(78,1),(80,1),(134,1)}
       104:{2,3,6,7}:{(77,1),(78,1),(83,1),(133,1),(135,1),(224,1)}
       105:{1,4,6,7}:{(78,1),(84,1),(134,1),(135,1),(188,1)}
       106:{3,4,6}:{(79,1),(132,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(133,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(134,1),(183,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(123,1),(139,1),(140,1),(182,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(137,1),(141,1),(142,1),(219,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(127,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(130,1),(142,1),(145,1),(187,1),(188,1),(224,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{2,4,5}:{(90,1),(94,1),(147,1),(155,1)}
       118:{3,4,6}:{(90,1),(93,1),(147,1),(150,1),(211,1),(235,1)}
       119:{2,5,6,7}:{(91,1),(97,1),(149,1),(204,1),(233,1)}
       120:{2,4,6}:{(91,1),(92,1),(98,1),(150,1)}
       121:{3,5,7}:{(92,1),(93,1),(147,1),(150,1)}
       122:{2,3,4,7}:{(93,1),(100,1),(148,1),(151,1),(152,1),(171,1),(227,1),(243,1)}
       123:{1,4,5,6}:{(94,1),(98,1),(109,1),(146,1),(153,1),(154,1),(205,1),(228,1)}
       124:{1,3,5}:{(94,1),(95,1),(110,1),(147,1),(155,1)}
       125:{2,4,6}:{(95,1),(96,1),(100,1),(155,1),(156,1)}
       126:{1,3,6}:{(96,1),(101,1),(156,1),(157,1)}
       127:{1,4,6,7}:{(97,1),(98,1),(113,1),(149,1),(153,1)}
       128:{1,3,4,6}:{(98,1),(99,1),(114,1),(150,1),(154,1),(159,1),(194,1),(201,1),(228,1),(242,1)}
       129:{2,4,5,7}:{(99,1),(100,1),(151,1),(155,1),(159,1),(160,1),(195,1),(202,1),(204,1),(227,1),(229,1),(241,1)}
       130:{1,4,7}:{(100,1),(101,1),(156,1),(234,1)}
       131:{1,2,5,7}:{(101,1),(116,1),(157,1),(161,1),(202,1),(206,1)}
       132:{3,4,7}:{(102,1),(106,1),(162,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(162,1),(163,1)}
       134:{1,5,7}:{(103,1),(105,1),(108,1)}
       135:{1,3,6,7}:{(104,1),(105,1),(112,1),(163,1),(164,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(162,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(163,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(153,1),(168,1),(204,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(155,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(156,1),(166,1),(169,1),(170,1),(207,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,5,6}:{(117,1),(120,1),(123,1),(173,1),(174,1),(182,1),(214,1)}
       147:{3,5}:{(117,1),(118,1)}
       148:{2,3,4,6}:{(118,1),(122,1),(125,1),(175,1),(176,1),(178,1),(193,1),(214,1),(226,1)}
       149:{2,4,6,7}:{(119,1),(120,1),(127,1),(173,1),(177,1)}
       150:{3,6}:{(120,1),(121,1)}
       151:{2,3,5,7}:{(121,1),(122,1),(129,1),(175,1),(178,1),(179,1),(238,1),(244,1)}
       152:{1,3,4,7}:{(122,1),(130,1),(176,1),(179,1),(180,1),(187,1),(236,1),(244,1)}
       153:{1,4,5,7}:{(123,1),(127,1),(139,1),(173,1),(181,1),(222,1),(236,1)}
       154:{1,3,5,6}:{(123,1),(124,1),(128,1),(140,1),(174,1),(181,1),(182,1)}
       155:{2,5}:{(124,1),(125,1),(183,1)}
       156:{1,4,6}:{(125,1),(126,1),(130,1),(183,1)}
       157:{1,2,6}:{(126,1),(131,1),(143,1),(221,1)}
       158:{1,3,4,6,7}:{(127,1),(128,1),(144,1),(177,1),(181,1),(185,1),(213,1),(220,1),(236,1),(244,1)}
       159:{2,4,6}:{(128,1),(129,1),(178,1),(182,1),(186,1),(221,1)}
       160:{1,4,5,7}:{(129,1),(130,1),(179,1),(183,1),(186,1),(215,1),(222,1),(236,1)}
       161:{1,2,4,7}:{(130,1),(131,1),(145,1),(180,1),(184,1),(187,1)}
       162:{2,4,7}:{(132,1),(133,1),(137,1),(188,1)}
       163:{1,3,5,7}:{(133,1),(134,1),(135,1),(138,1),(188,1),(189,1),(224,1)}
       164:{2,6,7}:{(135,1),(143,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(188,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(189,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(183,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(187,1),(193,1),(224,1)}
       172:{3,4,5}:{(147,1),(194,1),(195,1),(235,1)}
       173:{2,4,5,7}:{(146,1),(149,1),(153,1),(196,1),(204,1),(227,1)}
       174:{3,5,6}:{(146,1),(147,1),(150,1),(194,1),(196,1)}
       175:{2,3,5}:{(147,1),(148,1),(155,1),(195,1),(198,1)}
       176:{1,3,4,6}:{(148,1),(152,1),(156,1),(198,1),(199,1),(201,1),(207,1),(228,1),(234,1),(242,1),(243,1)}
       177:{3,6,7}:{(149,1),(150,1),(196,1)}
       178:{2,3,6}:{(150,1),(151,1),(159,1),(201,1),(242,1)}
       179:{1,3,5,7}:{(151,1),(152,1),(160,1),(198,1),(201,1),(202,1)}
       180:{2,4,7}:{(152,1),(199,1),(202,1),(203,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(158,1),(168,1),(196,1),(204,1)}
       182:{2,5,6}:{(154,1),(155,1),(159,1),(204,1),(205,1)}
       183:{1,5}:{(155,1),(156,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(161,1),(170,1),(199,1),(206,1),(207,1),(234,1)}
       185:{2,4,6,7}:{(158,1),(159,1),(200,1),(204,1),(208,1),(227,1),(233,1),(241,1)}
       186:{1,4,6}:{(159,1),(160,1),(201,1),(205,1)}
       187:{1,3,7}:{(161,1),(171,1),(203,1),(207,1)}
       188:{1,4,7}:{(162,1),(163,1),(166,1),(209,1)}
       189:{2,5,7}:{(163,1),(164,1),(167,1),(209,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(209,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(207,1),(211,1),(212,1)}
       194:{3,4,6}:{(172,1),(174,1),(213,1),(214,1)}
       195:{2,4,5}:{(172,1),(175,1),(214,1),(215,1),(226,1)}
       196:{3,5,7}:{(173,1),(174,1),(177,1),(213,1)}
       197:{2,3,5,6}:{(174,1),(175,1),(178,1),(182,1),(214,1),(216,1),(217,1)}
       198:{1,3,5}:{(175,1),(176,1),(183,1),(215,1),(218,1),(238,1)}
       199:{2,4,6}:{(176,1),(180,1),(218,1),(219,1),(221,1),(240,1)}
       200:{2,3,6,7}:{(177,1),(178,1),(185,1),(216,1),(220,1),(244,1)}
       201:{1,3,6}:{(178,1),(179,1),(186,1),(221,1)}
       202:{2,5,7}:{(179,1),(180,1),(218,1),(221,1)}
       203:{2,3,7}:{(180,1),(187,1),(219,1),(244,1)}
       204:{2,5,7}:{(181,1),(182,1),(185,1),(222,1)}
       205:{1,5,6}:{(182,1),(183,1),(186,1),(222,1)}
       206:{1,2,5}:{(183,1),(184,1),(192,1),(218,1),(223,1)}
       207:{1,3,6}:{(184,1),(187,1),(193,1),(219,1),(223,1)}
       208:{1,4,6,7}:{(185,1),(186,1),(220,1),(222,1),(236,1)}
       209:{2,4,7}:{(188,1),(189,1),(191,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(224,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(223,1),(225,1),(226,1)}
       213:{3,4,7}:{(194,1),(196,1),(227,1)}
       214:{2,4,6}:{(194,1),(195,1),(197,1),(227,1),(228,1)}
       215:{1,4,5}:{(195,1),(198,1),(228,1),(229,1),(234,1)}
       216:{2,3,5,7}:{(196,1),(197,1),(200,1),(204,1),(227,1),(230,1)}
       217:{1,3,5,6}:{(197,1),(198,1),(201,1),(205,1),(228,1),(230,1),(231,1),(242,1)}
       218:{2,5}:{(198,1),(199,1)}
       219:{2,3,6}:{(199,1),(203,1),(207,1),(232,1),(242,1)}
       220:{1,3,6,7}:{(200,1),(201,1),(208,1),(230,1),(233,1)}
       221:{2,6}:{(201,1),(202,1)}
       222:{1,5,7}:{(204,1),(205,1),(208,1)}
       223:{1,3,5}:{(206,1),(207,1),(212,1),(232,1),(234,1)}
       224:{3,7}:{(209,1),(211,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(213,1),(214,1),(216,1),(236,1)}
       228:{1,4,6}:{(214,1),(215,1),(217,1),(236,1),(237,1)}
       229:{2,4,5}:{(215,1),(218,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(216,1),(217,1),(220,1),(222,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(217,1),(218,1),(221,1),(237,1),(239,1)}
       232:{2,3,5}:{(218,1),(219,1),(223,1),(238,1),(240,1)}
       233:{2,6,7}:{(220,1),(221,1),(239,1)}
       234:{1,4}:{(223,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1051 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(35,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(35,1),(45,1),(88,1),(101,1),(102,1),(192,1),(279,1),(286,1),(303,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(63,1),(124,1),(153,1),(234,1),(325,1),(347,1)}
         3:{2,5,6,7}:{(11,1),(14,1),(16,1),(135,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(16,1),(17,1),(58,1),(60,1),(62,1),(135,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(15,1),(17,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(15,1),(21,1),(244,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(343,1),(361,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(62,1),(128,1),(144,1),(246,1),(335,1),(342,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(63,1),(71,1),(76,1),(129,1),(138,1),(142,1),(150,1),(156,1),(253,1),(259,1),(341,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(97,1),(163,1),(189,1),(203,1),(269,1),(297,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(183,1),(276,1),(401,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(92,1),(96,1),(171,1),(183,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(288,1),(399,1)}
        14:{3,5,6,7}:{(3,1),(33,1),(36,1),(94,1),(388,1),(479,1)}
        15:{3,4,6}:{(5,1),(6,1),(34,1),(35,1),(468,1)}
        16:{2,4,6,7}:{(3,1),(4,1),(30,1),(33,1),(36,1),(91,1),(393,1)}
        17:{3,5,7}:{(4,1),(5,1),(34,1),(36,1),(278,1)}
        18:{2,3,5,6}:{(5,1),(7,1),(32,1),(35,1),(37,1),(38,1),(45,1),(88,1),(109,1)}
        19:{1,3,4,5}:{(6,1),(29,1),(39,1),(44,1),(81,1),(103,1),(112,1),(166,1),(197,1),(272,1),(288,1)}
        20:{3,4,5,7}:{(6,1),(34,1),(42,1),(43,1),(94,1),(301,1),(390,1),(410,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(35,1),(44,1),(192,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(397,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(311,1),(316,1),(396,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(96,1),(107,1),(176,1),(185,1),(199,1),(205,1),(395,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(177,1),(190,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(235,1),(353,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(137,1),(220,1),(235,1),(349,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(138,1),(238,1),(351,1)}
        29:{1,3,4,6}:{(13,1),(15,1),(19,1),(51,1),(55,1),(56,1),(63,1),(124,1),(129,1),(138,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(16,1),(52,1),(57,1),(132,1),(347,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(17,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(343,1),(445,1)}
        33:{4,6,7}:{(14,1),(60,1),(437,1),(508,1)}
        34:{3,4,7}:{(15,1),(17,1),(62,1),(437,1)}
        35:{2,4,6}:{(15,1),(18,1),(21,1),(62,1),(63,1)}
        36:{3,6,7}:{(16,1),(17,1),(439,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(58,1),(62,1),(64,1),(65,1),(128,1),(135,1)}
        38:{1,3,5,6}:{(18,1),(23,1),(59,1),(63,1),(65,1),(66,1),(76,1),(129,1),(138,1),(153,1),(258,1)}
        39:{2,4,5}:{(19,1),(56,1),(67,1),(68,1),(146,1),(251,1),(343,1)}
        40:{1,2,4,6}:{(25,1),(69,1),(70,1),(71,1),(145,1),(148,1),(150,1),(227,1),(242,1),(253,1),(341,1)}
        41:{4,5,6}:{(60,1),(72,1),(454,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(62,1),(73,1),(74,1),(135,1),(246,1),(361,1)}
        44:{1,4,5}:{(21,1),(23,1),(63,1),(75,1),(150,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(445,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(443,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(228,1)}
        49:{2,3,6}:{(25,1),(71,1),(78,1),(79,1),(138,1),(243,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(292,1),(404,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(91,1),(297,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(185,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(88,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(34,1),(83,1),(89,1),(96,1),(171,1),(176,1),(185,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(39,1),(88,1),(89,1),(90,1),(177,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(36,1),(85,1),(91,1),(399,1)}
        58:{2,5,7}:{(31,1),(32,1),(89,1),(91,1),(92,1)}
        59:{1,5,6}:{(32,1),(90,1),(92,1),(396,1),(482,1)}
        60:{4,5,7}:{(33,1),(41,1),(94,1)}
        61:{3,4,6,7}:{(33,1),(34,1),(36,1),(42,1),(94,1),(95,1)}
        62:{2,4,7}:{(34,1),(35,1),(37,1),(96,1)}
        63:{1,4,6}:{(35,1),(38,1),(44,1),(96,1),(97,1),(315,1)}
        64:{2,3,6,7}:{(36,1),(37,1),(45,1),(91,1),(95,1),(98,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(92,1),(96,1),(98,1),(99,1),(176,1),(183,1),(185,1),(292,1)}
        66:{2,5,6}:{(38,1),(47,1),(97,1),(99,1),(113,1),(177,1)}
        67:{2,3,5}:{(39,1),(88,1),(101,1),(103,1),(112,1),(272,1)}
        68:{1,4,5}:{(39,1),(90,1),(103,1),(308,1),(396,1)}
        69:{1,2,5}:{(40,1),(47,1),(106,1),(194,1),(311,1),(396,1)}
        70:{1,2,4,7}:{(40,1),(48,1),(105,1),(107,1),(193,1),(199,1),(283,1),(395,1)}
        71:{1,3,6}:{(40,1),(49,1),(102,1),(106,1),(107,1),(299,1)}
        72:{3,5,6}:{(41,1),(42,1),(94,1),(109,1),(410,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(96,1),(110,1),(111,1),(183,1),(199,1),(311,1)}
        75:{2,4,5}:{(44,1),(47,1),(97,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(482,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(106,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(107,1),(185,1)}
        80:{2,3,4,6}:{(49,1),(108,1),(115,1),(116,1),(117,1),(186,1),(207,1),(209,1),(210,1),(286,1),(300,1),(409,1)}
        81:{3,4,5}:{(51,1),(119,1),(238,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(349,1),(449,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(349,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(351,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(128,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(129,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,6}:{(56,1),(67,1),(128,1),(129,1),(138,1),(223,1)}
        89:{2,4,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(228,1)}
        90:{1,4,6}:{(56,1),(59,1),(68,1),(129,1),(130,1)}
        91:{2,6,7}:{(57,1),(58,1),(132,1),(445,1)}
        92:{1,5,7}:{(58,1),(59,1),(130,1),(132,1)}
        93:{1,2,5,6}:{(59,1),(66,1),(69,1),(127,1),(131,1),(133,1),(134,1),(148,1),(227,1),(249,1),(321,1),(343,1),(421,1),(444,1),(445,1),(504,1)}
        94:{3,5,7}:{(60,1),(61,1),(72,1),(135,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(135,1),(136,1)}
        96:{1,4,7}:{(62,1),(63,1),(65,1),(137,1),(349,1)}
        97:{2,4,6}:{(63,1),(66,1),(75,1),(137,1),(138,1)}
        98:{1,3,6,7}:{(64,1),(65,1),(76,1),(132,1),(136,1),(139,1),(236,1)}
        99:{2,5,7}:{(65,1),(66,1),(137,1),(139,1),(228,1)}
       100:{2,3,5,6}:{(66,1),(78,1),(134,1),(138,1),(140,1),(141,1),(157,1),(229,1),(238,1),(258,1),(262,1),(343,1),(351,1),(353,1),(420,1),(445,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       101:{2,3,4}:{(67,1),(142,1),(156,1),(251,1),(328,1),(355,1)}
       102:{2,3,6}:{(71,1),(143,1),(144,1),(145,1),(355,1),(360,1)}
       103:{1,3,5}:{(67,1),(68,1),(129,1),(142,1),(146,1)}
       104:{1,2,4,5}:{(68,1),(69,1),(75,1),(131,1),(146,1),(147,1),(150,1),(217,1),(234,1),(242,1),(247,1),(251,1),(321,1),(343,1),(365,1),(423,1),(451,1),(493,1)}
       105:{1,2,5,7}:{(69,1),(70,1),(77,1),(148,1),(149,1),(248,1),(443,1)}
       106:{1,3,5}:{(69,1),(71,1),(78,1),(143,1),(150,1)}
       107:{1,3,7}:{(70,1),(71,1),(79,1),(144,1)}
       108:{1,3,4,6}:{(71,1),(80,1),(145,1),(150,1),(151,1),(152,1),(244,1),(253,1),(255,1),(256,1),(341,1),(356,1),(358,1),(360,1),(452,1)}
       109:{2,5,6}:{(72,1),(73,1),(135,1),(153,1),(361,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(137,1),(154,1),(155,1),(158,1),(235,1),(262,1),(349,1),(370,1)}
       112:{3,5}:{(75,1),(138,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(149,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(150,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(151,1),(158,1),(160,1),(237,1),(264,1),(342,1),(453,1)}
       117:{2,3,5}:{(80,1),(152,1),(159,1),(238,1),(262,1),(343,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(294,1),(403,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(101,1),(162,1),(167,1),(168,1),(186,1),(266,1),(286,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(91,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(92,1),(171,1),(173,1),(174,1),(176,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(177,1),(268,1),(376,1)}
       128:{2,3,7}:{(88,1),(89,1),(176,1),(185,1),(278,1)}
       129:{1,3,6}:{(88,1),(90,1),(103,1),(176,1),(177,1)}
       130:{1,4,7}:{(89,1),(90,1),(92,1),(176,1)}
       131:{1,2,4,6}:{(90,1),(93,1),(97,1),(104,1),(172,1),(177,1),(178,1),(179,1),(182,1),(286,1),(305,1),(415,1),(486,1),(517,1)}
       132:{1,6,7}:{(91,1),(92,1),(482,1)}
       133:{1,2,5,7}:{(92,1),(93,1),(99,1),(174,1),(178,1),(180,1),(181,1),(283,1),(307,1),(397,1),(483,1),(526,1)}
       134:{1,3,5,6}:{(93,1),(100,1),(106,1),(175,1),(179,1),(181,1),(182,1),(198,1),(284,1),(288,1),(311,1),(375,1),(396,1),(399,1),(401,1),(462,1),(482,1),(518,1)}
       135:{2,5,7}:{(94,1),(95,1),(109,1),(183,1)}
       136:{1,4,6,7}:{(95,1),(96,1),(98,1),(110,1),(183,1),(184,1)}
       137:{2,4,7}:{(96,1),(97,1),(99,1),(185,1)}
       138:{3,6}:{(97,1),(112,1),(185,1)}
       139:{2,6,7}:{(98,1),(99,1),(113,1)}
       140:{2,3,5,7}:{(99,1),(100,1),(181,1),(185,1),(187,1),(188,1),(285,1),(292,1),(294,1),(296,1),(397,1),(526,1),(542,1),(551,1)}
       141:{2,4,6}:{(100,1),(115,1),(182,1),(186,1),(188,1),(189,1),(315,1),(461,1),(550,1)}
       142:{1,3,4}:{(101,1),(103,1),(190,1),(299,1),(308,1)}
       143:{2,3,5}:{(102,1),(106,1),(192,1),(194,1),(302,1)}
       144:{2,3,7}:{(102,1),(107,1),(193,1),(412,1)}
       145:{2,4,6}:{(102,1),(108,1),(192,1),(193,1),(194,1),(306,1),(407,1),(486,1)}
       146:{2,5}:{(103,1),(177,1),(190,1)}
       147:{1,3,5}:{(104,1),(112,1),(179,1),(196,1),(197,1),(272,1),(299,1),(302,1),(514,1)}
       148:{1,2,6}:{(105,1),(113,1),(198,1),(306,1),(482,1)}
       149:{1,3,5,7}:{(105,1),(106,1),(107,1),(114,1),(191,1),(198,1),(199,1),(311,1)}
       150:{1,4}:{(106,1),(115,1),(192,1)}
       151:{1,3,4,7}:{(107,1),(108,1),(116,1),(193,1),(199,1),(201,1),(301,1),(313,1),(395,1),(412,1),(487,1)}
       152:{1,3,5}:{(108,1),(117,1),(194,1),(200,1),(302,1),(311,1),(396,1),(410,1)}
       153:{1,5,6}:{(109,1),(110,1),(183,1),(203,1),(311,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(185,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(198,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(199,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(200,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(201,1),(208,1),(210,1),(294,1),(397,1)}
       161:{2,3,5,6}:{(117,1),(202,1),(209,1),(210,1),(211,1),(295,1),(319,1),(398,1),(409,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(238,1),(343,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(449,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(351,1),(449,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(128,1),(212,1),(218,1),(237,1),(342,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(129,1),(142,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(341,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(132,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(228,1)}
       175:{2,3,5,6}:{(127,1),(134,1),(143,1),(223,1),(225,1),(226,1),(229,1),(245,1),(249,1),(324,1),(336,1),(343,1),(360,1),(361,1),(424,1),(427,1),(439,1),(441,1),(445,1),(455,1),(497,1)}
       176:{1,3,7}:{(128,1),(129,1),(130,1),(228,1)}
       177:{2,6}:{(129,1),(146,1),(228,1)}
       178:{1,2,4,7}:{(130,1),(131,1),(133,1),(137,1),(222,1),(228,1),(230,1),(233,1),(342,1),(363,1),(458,1),(511,1),(534,1)}
       179:{1,3,6}:{(131,1),(138,1),(147,1),(223,1),(229,1),(230,1),(360,1),(531,1)}
       180:{1,2,6,7}:{(132,1),(133,1),(139,1),(148,1),(224,1),(232,1),(364,1),(421,1),(445,1),(510,1),(539,1)}
       181:{1,3,5,7}:{(133,1),(134,1),(140,1),(225,1),(230,1),(232,1),(233,1),(340,1),(346,1),(443,1)}
       182:{1,4,6}:{(134,1),(141,1),(150,1),(226,1),(233,1),(234,1),(423,1)}
       183:{1,5,7}:{(135,1),(136,1),(153,1),(235,1)}
       184:{2,4,6,7}:{(136,1),(137,1),(139,1),(154,1),(235,1),(236,1),(349,1)}
       185:{3,7}:{(137,1),(138,1)}
       186:{3,4,6}:{(138,1),(141,1),(156,1),(237,1),(238,1),(351,1),(490,1),(531,1)}
       187:{2,3,6,7}:{(139,1),(140,1),(157,1),(232,1),(236,1),(239,1),(351,1),(445,1),(491,1),(539,1),(548,1)}
       188:{2,4,7}:{(140,1),(141,1),(233,1),(237,1),(349,1),(552,1)}
       189:{2,4,5}:{(141,1),(234,1),(238,1),(262,1),(343,1),(370,1),(532,1),(546,1)}
       190:{2,4}:{(142,1),(146,1),(243,1)}
       191:{2,3,5,7}:{(143,1),(144,1),(149,1),(245,1),(246,1),(248,1),(359,1),(361,1)}
       192:{2,4}:{(143,1),(150,1),(244,1)}
       193:{2,4,7}:{(144,1),(145,1),(151,1),(248,1),(511,1)}
       194:{2,5}:{(145,1),(152,1)}
       195:{1,2,5}:{(146,1),(227,1),(242,1),(250,1),(451,1)}
       196:{2,3,5}:{(146,1),(147,1),(229,1),(243,1),(250,1),(251,1),(343,1),(355,1),(451,1)}
       197:{1,3,4}:{(147,1),(150,1),(156,1),(244,1),(251,1),(328,1),(423,1),(490,1)}
       198:{1,3,6}:{(148,1),(149,1),(157,1),(245,1),(253,1)}
       199:{1,4,7}:{(149,1),(150,1),(158,1),(246,1),(253,1)}
       200:{1,4,5}:{(150,1),(152,1),(159,1),(247,1),(255,1),(454,1)}
       201:{1,3,5,7}:{(151,1),(152,1),(160,1),(248,1),(254,1),(256,1),(359,1),(443,1)}
       202:{1,3,5,6}:{(152,1),(161,1),(249,1),(255,1),(256,1),(257,1),(360,1),(368,1),(444,1),(452,1),(455,1)}
       203:{2,5,6}:{(153,1),(154,1),(235,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(349,1)}
       206:{3,4,5}:{(156,1),(159,1),(238,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(253,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(254,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(255,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(256,1),(263,1),(351,1),(445,1)}
       211:{2,3,5,7}:{(161,1),(257,1),(264,1),(265,1),(352,1),(373,1),(446,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(294,1),(397,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(396,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(176,1),(267,1),(274,1),(278,1),(381,1),(384,1),(395,1),(463,1)}
       219:{2,4,6}:{(168,1),(177,1),(190,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(181,1),(278,1),(280,1),(281,1),(285,1),(307,1),(388,1),(390,1),(392,1),(397,1),(412,1),(489,1)}
       226:{2,4,6}:{(175,1),(182,1),(192,1),(279,1),(281,1),(282,1),(378,1),(468,1),(488,1)}
       227:{1,2,6}:{(177,1),(195,1),(283,1),(284,1),(486,1)}
       228:{2,7}:{(176,1),(177,1)}
       229:{2,3,6}:{(177,1),(179,1),(196,1),(284,1),(285,1),(286,1),(486,1)}
       230:{1,3,7}:{(178,1),(179,1),(185,1),(278,1),(285,1),(412,1),(542,1)}
       231:{1,3,4,6}:{(179,1),(182,1),(186,1),(197,1),(279,1),(286,1),(287,1),(288,1),(399,1)}
       232:{1,3,6,7}:{(180,1),(181,1),(187,1),(198,1),(280,1),(289,1),(399,1),(462,1),(482,1)}
       233:{1,4,7}:{(181,1),(182,1),(188,1),(281,1)}
       234:{1,4,5}:{(182,1),(189,1),(282,1),(288,1),(311,1),(396,1),(518,1)}
       235:{2,5,7}:{(183,1),(184,1),(203,1),(292,1)}
       236:{3,6,7}:{(184,1),(185,1),(204,1),(292,1)}
       237:{3,4,7}:{(185,1),(186,1),(188,1),(294,1),(542,1)}
       238:{3,5}:{(186,1),(189,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(207,1),(289,1),(293,1),(296,1),(297,1),(515,1)}
       240:{2,4,5,7}:{(188,1),(189,1),(290,1),(294,1),(296,1),(297,1),(397,1),(403,1)}
       241:{2,4,5,6}:{(189,1),(209,1),(291,1),(295,1),(297,1),(298,1),(319,1),(398,1),(418,1),(517,1),(543,1),(550,1)}
       242:{1,2,4}:{(190,1),(195,1),(299,1),(308,1),(407,1)}
       243:{2,3}:{(190,1),(299,1)}
       244:{3,4}:{(192,1),(302,1)}
       245:{2,3,6}:{(191,1),(198,1),(303,1),(306,1),(411,1)}
       246:{2,4,7}:{(191,1),(192,1),(199,1),(301,1),(303,1)}
       247:{2,4,5}:{(192,1),(194,1),(200,1),(302,1),(305,1)}
       248:{2,5,7}:{(193,1),(194,1),(201,1),(306,1)}
       249:{2,5,6}:{(194,1),(202,1),(305,1),(306,1),(307,1),(486,1)}
       250:{1,3,5}:{(195,1),(196,1),(284,1),(299,1),(308,1),(396,1)}
       251:{2,4}:{(196,1),(197,1),(308,1)}
       252:{1,3,4,5}:{(197,1),(200,1),(206,1),(288,1),(302,1),(309,1),(310,1),(382,1),(408,1),(464,1),(514,1)}
       253:{1,4,6}:{(198,1),(199,1),(207,1),(303,1),(311,1)}
       254:{1,4,5,7}:{(199,1),(200,1),(201,1),(208,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       255:{1,4,6}:{(200,1),(202,1),(209,1),(305,1),(313,1),(488,1)}
       256:{1,3,6}:{(201,1),(210,1),(306,1),(312,1),(411,1),(482,1)}
       257:{1,3,5,7}:{(202,1),(211,1),(307,1),(313,1),(314,1),(412,1),(417,1),(483,1),(487,1),(489,1)}
       258:{3,5,6}:{(203,1),(204,1),(292,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(294,1),(316,1),(317,1),(318,1),(403,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(295,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(311,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(312,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(313,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(314,1),(320,1),(405,1),(484,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(351,1),(445,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(443,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(242,1),(321,1),(329,1),(330,1),(341,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(228,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(243,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(244,1),(328,1),(335,1),(336,1),(360,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(232,1),(245,1),(334,1),(337,1),(364,1),(424,1),(439,1),(445,1),(456,1)}
       281:{2,4,7}:{(225,1),(226,1),(233,1),(335,1),(437,1),(512,1)}
       282:{2,4,5}:{(226,1),(234,1),(336,1),(343,1),(361,1),(454,1),(497,1),(500,1)}
       283:{1,2,7}:{(227,1),(228,1),(340,1),(511,1)}
       284:{1,3,6}:{(227,1),(229,1),(250,1),(340,1),(341,1)}
       285:{2,3,7}:{(228,1),(229,1),(230,1),(340,1),(342,1),(511,1)}
       286:{2,4,6}:{(229,1),(231,1),(251,1),(341,1),(342,1),(343,1),(445,1)}
       287:{1,3,4,7}:{(230,1),(231,1),(233,1),(237,1),(335,1),(342,1),(344,1)}
       288:{1,3,5}:{(231,1),(234,1),(238,1),(336,1),(343,1)}
       289:{1,4,6,7}:{(232,1),(233,1),(239,1),(253,1),(337,1),(346,1),(347,1),(494,1)}
       290:{1,4,5,7}:{(233,1),(234,1),(240,1),(338,1),(344,1),(346,1),(347,1),(443,1)}
       291:{1,4,5,6}:{(234,1),(241,1),(255,1),(339,1),(345,1),(347,1),(348,1),(368,1),(444,1),(496,1),(535,1)}
       292:{3,5,7}:{(235,1),(236,1),(258,1),(349,1)}
       293:{3,4,6,7}:{(236,1),(237,1),(239,1),(259,1),(349,1),(350,1),(351,1),(449,1),(529,1),(548,1),(552,1)}
       294:{3,5,7}:{(237,1),(238,1),(240,1),(351,1)}
       295:{3,5,6}:{(238,1),(241,1),(261,1),(351,1),(352,1),(531,1)}
       296:{2,5,7}:{(239,1),(262,1),(346,1),(350,1),(353,1),(532,1)}
       297:{2,4,6}:{(240,1),(347,1),(351,1),(353,1),(445,1),(449,1)}
       298:{2,4,5,7}:{(241,1),(264,1),(348,1),(352,1),(354,1),(373,1),(446,1),(459,1),(534,1),(549,1),(552,1)}
       299:{1,3}:{(242,1),(243,1),(355,1)}
       300:{2,3,4}:{(243,1),(244,1),(251,1),(356,1),(357,1),(490,1)}
       301:{3,4,7}:{(244,1),(246,1),(358,1),(359,1),(512,1)}
       302:{3,5}:{(244,1),(247,1),(360,1)}
       303:{2,4,6}:{(245,1),(246,1),(253,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(359,1),(361,1),(362,1),(363,1),(454,1),(457,1),(512,1)}
       305:{2,4,6}:{(247,1),(249,1),(255,1),(360,1),(363,1)}
       306:{2,6}:{(248,1),(256,1)}
       307:{2,5,7}:{(249,1),(257,1),(363,1),(364,1),(511,1)}
       308:{1,4}:{(250,1),(251,1)}
       309:{2,4,5}:{(251,1),(252,1),(343,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(252,1),(255,1),(261,1),(345,1),(360,1),(366,1),(367,1),(430,1),(452,1),(496,1),(531,1)}
       311:{1,5}:{(253,1),(262,1),(361,1)}
       312:{1,4,6}:{(254,1),(256,1),(263,1),(362,1),(368,1)}
       313:{1,4,7}:{(255,1),(257,1),(264,1),(363,1),(512,1)}
       314:{1,3,6,7}:{(256,1),(257,1),(265,1),(364,1),(369,1),(456,1),(510,1)}
       315:{4,6}:{(258,1),(349,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(351,1),(371,1),(449,1)}
       318:{3,4,7}:{(261,1),(264,1),(352,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(368,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(369,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(396,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(482,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(283,1),(374,1),(384,1),(395,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(299,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(286,1),(300,1),(378,1),(385,1),(386,1),(387,1),(409,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(412,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(289,1),(303,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(290,1),(390,1),(392,1),(393,1),(397,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(291,1),(305,1),(391,1),(393,1),(394,1),(398,1),(413,1),(467,1),(488,1),(521,1),(523,1)}
       340:{1,3,7}:{(283,1),(284,1),(285,1),(395,1)}
       341:{1,4,6}:{(284,1),(286,1),(308,1),(395,1),(396,1),(482,1)}
       342:{2,4,7}:{(285,1),(286,1),(287,1),(395,1),(397,1)}
       343:{2,5}:{(286,1),(288,1),(396,1)}
       344:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(390,1),(397,1),(399,1)}
       345:{1,3,5,6}:{(288,1),(291,1),(295,1),(310,1),(391,1),(398,1),(399,1),(400,1)}
       346:{1,5,7}:{(289,1),(296,1),(311,1),(392,1),(401,1),(518,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(399,1),(401,1),(482,1)}
       348:{1,4,5,7}:{(291,1),(298,1),(313,1),(394,1),(400,1),(402,1),(417,1),(483,1),(520,1),(545,1)}
       349:{4,7}:{(292,1),(315,1)}
       350:{3,5,7}:{(293,1),(296,1),(316,1),(403,1),(404,1),(540,1)}
       351:{3,6}:{(294,1),(297,1)}
       352:{3,5,7}:{(295,1),(298,1),(318,1),(405,1),(542,1)}
       353:{2,5,6}:{(296,1),(297,1),(401,1),(404,1)}
       354:{2,4,6,7}:{(297,1),(298,1),(402,1),(405,1),(406,1),(484,1),(485,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(302,1),(309,1),(408,1),(409,1),(514,1)}
       358:{3,4,6}:{(301,1),(303,1),(410,1),(411,1),(488,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,6}:{(302,1),(305,1),(412,1)}
       361:{2,5}:{(303,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(306,1),(312,1),(411,1),(413,1),(488,1)}
       363:{2,4,7}:{(305,1),(307,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(396,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(398,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(313,1),(318,1),(400,1),(412,1),(416,1),(471,1),(487,1),(520,1),(542,1)}
       368:{1,5,6}:{(311,1),(312,1),(319,1),(413,1),(417,1)}
       369:{1,4,6,7}:{(312,1),(313,1),(314,1),(320,1),(414,1),(417,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(405,1),(419,1),(485,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(443,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(454,1)}
       383:{2,3,6}:{(330,1),(355,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(356,1),(423,1),(432,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(342,1),(425,1),(433,1),(435,1),(453,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(343,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(358,1),(428,1),(437,1),(438,1),(439,1),(456,1),(508,1),(512,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(360,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(361,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(347,1),(439,1),(441,1),(445,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(363,1),(440,1),(442,1),(446,1),(457,1),(499,1),(512,1),(537,1),(538,1)}
       395:{1,4,7}:{(340,1),(341,1),(342,1),(443,1)}
       396:{1,5}:{(341,1),(343,1)}
       397:{2,5,7}:{(342,1),(343,1),(344,1),(443,1),(445,1)}
       398:{2,5,6}:{(343,1),(345,1),(366,1),(444,1),(445,1),(446,1)}
       399:{1,3,6}:{(344,1),(347,1),(351,1),(439,1),(445,1)}
       400:{1,3,5,7}:{(345,1),(348,1),(352,1),(367,1),(440,1),(446,1),(447,1)}
       401:{1,5,6}:{(346,1),(347,1),(353,1),(441,1)}
       402:{1,4,6,7}:{(347,1),(348,1),(354,1),(442,1),(447,1),(448,1),(510,1)}
       403:{4,5,7}:{(349,1),(350,1),(370,1),(449,1),(546,1),(552,1)}
       404:{3,5,6}:{(350,1),(351,1),(353,1),(449,1)}
       405:{3,6,7}:{(351,1),(352,1),(354,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(450,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(360,1),(366,1),(452,1),(453,1),(531,1)}
       410:{3,5}:{(358,1),(361,1),(454,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,7}:{(360,1),(363,1)}
       413:{2,5,6}:{(361,1),(362,1),(368,1),(455,1),(457,1)}
       414:{2,4,6,7}:{(362,1),(363,1),(364,1),(369,1),(456,1),(457,1),(512,1)}
       415:{1,4,6}:{(365,1),(366,1),(444,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(446,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{4,5,6}:{(370,1),(371,1),(449,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(482,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(488,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(407,1),(461,1),(472,1),(473,1),(486,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(395,1),(463,1),(472,1),(474,1),(487,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(396,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(397,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(398,1),(409,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(410,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(412,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(401,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(402,1),(480,1),(481,1),(484,1),(528,1)}
       443:{1,5,7}:{(395,1),(396,1),(397,1),(482,1)}
       444:{1,5,6}:{(396,1),(398,1),(415,1),(482,1),(483,1)}
       445:{2,6}:{(397,1),(399,1),(482,1)}
       446:{2,5,7}:{(398,1),(400,1),(416,1),(483,1),(484,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(402,1),(405,1),(480,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{4,6}:{(403,1),(404,1)}
       450:{3,5,6,7}:{(404,1),(405,1),(406,1),(419,1),(485,1),(551,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(412,1),(416,1),(487,1),(542,1)}
       454:{4,5}:{(410,1),(488,1)}
       455:{3,5,6}:{(410,1),(411,1),(413,1),(488,1),(489,1)}
       456:{3,6,7}:{(411,1),(412,1),(414,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(489,1)}
       458:{1,4,7}:{(415,1),(416,1),(483,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(512,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(511,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(443,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(452,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(445,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(446,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(454,1),(500,1),(508,1),(512,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(509,1),(537,1)}
       482:{1,6}:{(443,1),(445,1)}
       483:{1,5,7}:{(444,1),(446,1),(458,1),(510,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{4,6}:{(454,1),(455,1),(512,1)}
       489:{3,5,7}:{(455,1),(456,1),(457,1),(512,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(486,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(482,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(489,1),(524,1),(528,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(511,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1052 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(74,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(5,1),(6,1),(105,1),(121,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(12,1),(58,1),(118,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(92,1),(117,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(67,1),(91,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(16,1),(17,1),(69,1),(74,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(21,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(44,1),(110,1),(111,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(77,1),(109,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(23,1),(24,1)}
        14:{3,5,6,7}:{(6,1),(24,1),(25,1),(121,1)}
        15:{1,3,4,5}:{(7,1),(16,1),(26,1),(47,1),(51,1),(76,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(15,1),(27,1),(28,1),(33,1),(53,1),(58,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(28,1),(86,1),(92,1)}
        18:{2,5,6}:{(9,1),(27,1),(31,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(28,1),(31,1),(32,1),(34,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(32,1)}
        21:{3,5,6}:{(11,1),(33,1),(34,1)}
        22:{2,4,5,7}:{(11,1),(12,1),(31,1),(34,1),(35,1),(62,1),(97,1),(99,1)}
        23:{1,4,6,7}:{(12,1),(13,1),(32,1),(35,1),(36,1)}
        24:{2,5,6,7}:{(13,1),(14,1),(36,1),(117,1)}
        25:{4,5,6,7}:{(14,1),(124,1)}
        26:{2,4,5}:{(15,1),(27,1),(38,1)}
        27:{2,4,6}:{(16,1),(18,1),(26,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(16,1),(17,1),(19,1),(41,1),(48,1),(71,1),(77,1)}
        29:{1,2,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1),(119,1)}
        30:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(44,1),(45,1),(72,1),(103,1),(110,1)}
        31:{2,5,7}:{(18,1),(19,1),(41,1),(46,1)}
        32:{1,3,6,7}:{(19,1),(20,1),(23,1),(46,1),(49,1)}
        33:{3,4,6}:{(21,1),(44,1),(47,1),(48,1)}
        34:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        35:{2,4,6,7}:{(22,1),(23,1),(46,1),(49,1),(50,1),(83,1)}
        36:{1,5,6,7}:{(23,1),(24,1),(50,1),(109,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(76,1),(84,1),(100,1)}
        38:{2,3,5}:{(26,1),(40,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(37,1),(53,1),(54,1),(58,1),(85,1)}
        40:{2,3,6}:{(27,1),(38,1),(53,1),(56,1)}
        41:{2,4,7}:{(27,1),(28,1),(31,1),(56,1)}
        42:{1,3,5,6}:{(29,1),(30,1),(53,1),(57,1),(58,1),(59,1),(87,1),(113,1),(118,1)}
        43:{1,2,5,7}:{(29,1),(31,1),(54,1),(59,1),(60,1),(112,1)}
        44:{2,4,6}:{(30,1),(33,1),(58,1),(61,1),(62,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(34,1),(56,1),(59,1),(62,1),(63,1),(97,1)}
        46:{2,6,7}:{(31,1),(32,1)}
        47:{3,4,5}:{(33,1),(61,1)}
        48:{3,4,7}:{(33,1),(34,1),(62,1)}
        49:{3,6,7}:{(34,1),(35,1)}
        50:{2,5,6,7}:{(35,1),(36,1),(66,1),(97,1)}
        51:{1,3,5}:{(37,1),(38,1),(53,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,3,6}:{(39,1),(40,1),(51,1),(69,1),(71,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(43,1),(71,1),(77,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(44,1),(52,1),(70,1),(72,1),(73,1),(103,1)}
        56:{2,3,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(69,1),(74,1),(75,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        58:{1,4,6}:{(42,1),(44,1),(74,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(71,1),(75,1),(77,1),(78,1),(109,1)}
        60:{1,2,6,7}:{(43,1),(46,1),(78,1),(119,1)}
        61:{2,4,5}:{(44,1),(47,1),(72,1),(76,1)}
        62:{2,4,7}:{(44,1),(45,1),(48,1),(77,1)}
        63:{2,3,6,7}:{(45,1),(46,1),(49,1),(78,1),(80,1),(103,1)}
        64:{3,4,5,7}:{(47,1),(48,1),(79,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(80,1),(81,1),(82,1),(83,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(100,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(53,1),(67,1),(85,1),(86,1)}
        70:{1,3,4,6}:{(53,1),(55,1),(58,1),(68,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        71:{1,3,7}:{(53,1),(54,1),(56,1),(86,1)}
        72:{2,3,5}:{(55,1),(61,1),(87,1)}
        73:{2,3,4,7}:{(55,1),(56,1),(62,1),(88,1),(89,1)}
        74:{2,4,6}:{(57,1),(58,1),(90,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(57,1),(59,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        76:{1,4,5}:{(58,1),(61,1),(87,1),(91,1)}
        77:{1,4,7}:{(58,1),(59,1),(62,1),(92,1)}
        78:{1,3,6,7}:{(59,1),(60,1),(63,1),(93,1),(95,1),(113,1)}
        79:{2,4,5,7}:{(61,1),(62,1),(64,1),(89,1),(94,1),(96,1),(97,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        81:{3,4,6}:{(64,1),(96,1),(98,1)}
        82:{3,5,7}:{(65,1),(97,1),(98,1),(99,1)}
        83:{4,6,7}:{(66,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,4,6}:{(69,1),(70,1),(84,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,5}:{(70,1),(72,1),(76,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(70,1),(71,1),(73,1),(77,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(79,1),(102,1),(103,1)}
        90:{3,4,6}:{(74,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(74,1),(76,1),(100,1),(104,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(105,1)}
        93:{2,3,6,7}:{(75,1),(78,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(76,1),(77,1),(79,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(77,1),(78,1),(80,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(79,1),(81,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(80,1),(82,1),(109,1),(110,1)}
        98:{3,5,6}:{(81,1),(82,1),(110,1),(111,1)}
        99:{4,5,7}:{(82,1),(83,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1053 :   0:{3,5,6,7}:{(2,1),(3,1),(22,1),(23,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(23,1),(32,1),(64,1),(231,1),(334,1),(408,1),(412,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(42,1),(265,1),(370,1)}
         3:{4,6,7}:{(0,1),(10,1),(364,1),(446,1)}
         4:{4,5,6}:{(10,1),(14,1),(381,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(451,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(15,1),(16,1),(42,1),(55,1),(94,1),(185,1),(287,1)}
         7:{2,3,4,7}:{(13,1),(17,1),(18,1),(94,1),(112,1),(171,1),(185,1),(368,1),(372,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(67,1),(214,1),(327,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(63,1),(413,1)}
        10:{4,5,7}:{(3,1),(4,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(24,1),(64,1)}
        12:{2,4,5,6}:{(4,1),(21,1),(25,1),(26,1),(29,1),(71,1),(73,1),(233,1),(314,1),(339,1),(404,1),(413,1)}
        13:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1),(33,1),(412,1),(416,1)}
        14:{3,5,6}:{(4,1),(5,1),(23,1),(29,1),(334,1)}
        15:{2,4,6}:{(5,1),(6,1),(27,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(28,1),(30,1),(31,1),(67,1),(83,1),(131,1),(144,1),(240,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1),(73,1),(140,1),(152,1),(153,1),(235,1),(249,1),(338,1),(343,1)}
        18:{1,3,4,7}:{(7,1),(28,1),(34,1),(35,1),(79,1),(82,1),(131,1),(144,1),(220,1),(224,1),(415,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(97,1),(166,1),(277,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(38,1),(39,1),(93,1),(374,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(12,1),(38,1),(40,1),(42,1),(92,1),(94,1),(265,1),(268,1),(364,1)}
        22:{3,6,7}:{(9,1),(40,1),(451,1)}
        23:{3,5,7}:{(10,1),(11,1),(14,1),(42,1)}
        24:{2,4,6,7}:{(11,1),(15,1),(41,1),(42,1),(43,1),(94,1)}
        25:{1,4,5,6}:{(12,1),(38,1),(44,1),(45,1),(50,1),(102,1),(105,1),(182,1),(262,1),(292,1),(374,1)}
        26:{3,5,6}:{(12,1),(40,1),(46,1),(285,1),(386,1),(451,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1),(451,1),(454,1)}
        28:{1,3,5,7}:{(13,1),(16,1),(18,1),(48,1),(49,1),(52,1),(56,1),(453,1)}
        29:{2,5,6}:{(14,1),(15,1),(42,1),(50,1),(287,1)}
        30:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(49,1),(51,1),(52,1),(97,1),(108,1),(118,1),(175,1),(178,1),(193,1),(195,1)}
        32:{3,4,5}:{(46,1),(55,1),(301,1),(386,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(287,1),(386,1),(390,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(48,1),(56,1),(57,1),(105,1),(110,1),(116,1),(186,1),(189,1),(191,1),(198,1),(204,1),(207,1),(389,1)}
        35:{2,4,7}:{(18,1),(49,1),(57,1),(58,1),(271,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(134,1),(228,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(63,1),(329,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(67,1),(129,1),(131,1),(214,1),(217,1)}
        39:{1,3,6,7}:{(20,1),(22,1),(61,1),(62,1),(63,1),(417,1)}
        40:{3,5,7}:{(21,1),(22,1),(26,1),(64,1),(320,1)}
        41:{2,3,6,7}:{(22,1),(24,1),(27,1),(63,1),(65,1),(66,1)}
        42:{2,5,7}:{(23,1),(24,1),(29,1),(67,1)}
        43:{1,4,6,7}:{(24,1),(30,1),(66,1),(67,1),(68,1),(131,1)}
        44:{2,4,5,6}:{(25,1),(60,1),(69,1),(71,1),(77,1),(122,1),(137,1),(145,1),(149,1),(212,1),(243,1),(329,1)}
        45:{1,3,5,6}:{(25,1),(26,1),(62,1),(69,1),(70,1),(71,1),(344,1),(417,1)}
        46:{3,4,6}:{(26,1),(32,1),(64,1),(73,1),(404,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(29,1),(33,1),(65,1),(71,1),(73,1),(74,1),(140,1)}
        48:{1,3,6}:{(27,1),(28,1),(30,1),(75,1),(78,1),(484,1)}
        49:{2,5,7}:{(28,1),(35,1),(75,1),(84,1)}
        50:{1,5,6}:{(29,1),(30,1),(67,1),(77,1),(240,1)}
        51:{2,4,6}:{(30,1),(31,1),(75,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(224,1)}
        53:{1,3,4,5}:{(32,1),(70,1),(80,1),(83,1),(136,1),(155,1),(160,1),(230,1),(254,1),(333,1),(344,1)}
        54:{1,2,4,7}:{(35,1),(72,1),(81,1),(82,1),(144,1),(154,1),(323,1),(415,1)}
        55:{2,4,5}:{(32,1),(33,1),(73,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(240,1),(430,1)}
        57:{2,4,6}:{(34,1),(35,1),(75,1),(84,1),(85,1),(161,1),(237,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(224,1)}
        59:{4,6,7}:{(36,1),(87,1),(178,1),(278,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(44,1),(87,1),(89,1),(92,1),(97,1),(166,1),(168,1),(175,1),(178,1)}
        61:{3,6,7}:{(37,1),(89,1),(376,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(45,1),(89,1),(91,1),(92,1)}
        63:{2,6,7}:{(39,1),(92,1),(93,1),(454,1)}
        64:{3,4,7}:{(40,1),(46,1),(94,1),(364,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(92,1),(94,1),(95,1),(171,1)}
        66:{1,3,6,7}:{(41,1),(43,1),(48,1),(93,1),(95,1),(96,1),(98,1)}
        67:{1,5,7}:{(42,1),(43,1),(50,1),(97,1)}
        68:{2,4,6,7}:{(43,1),(51,1),(96,1),(97,1),(98,1),(175,1),(178,1)}
        69:{3,5,6}:{(44,1),(89,1),(99,1),(191,1),(295,1),(376,1)}
        70:{1,3,4,6}:{(45,1),(46,1),(53,1),(91,1),(99,1),(101,1),(105,1),(182,1),(186,1),(191,1),(285,1)}
        71:{2,5,6}:{(45,1),(92,1),(101,1),(102,1),(390,1),(454,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(103,1),(104,1),(115,1),(201,1),(453,1)}
        73:{2,4,6}:{(46,1),(47,1),(55,1),(94,1),(105,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(50,1),(56,1),(95,1),(102,1),(105,1),(106,1),(109,1),(186,1),(191,1)}
        75:{2,6}:{(48,1),(49,1)}
        76:{2,3,5,7}:{(49,1),(52,1),(58,1),(104,1),(107,1),(108,1),(119,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(97,1),(109,1),(193,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(108,1),(110,1),(178,1),(207,1)}
        80:{2,4,5}:{(53,1),(101,1),(113,1),(114,1),(202,1),(306,1),(390,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(103,1),(115,1),(116,1),(189,1),(200,1),(204,1),(289,1),(299,1),(389,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(105,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(191,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(108,1),(117,1),(120,1),(121,1),(275,1),(311,1),(372,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(125,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(69,1),(125,1),(224,1)}
        90:{2,3,6,7}:{(61,1),(63,1),(124,1),(126,1),(127,1),(312,1)}
        91:{1,3,4,7}:{(62,1),(64,1),(70,1),(125,1),(128,1),(131,1),(217,1),(220,1),(224,1),(320,1)}
        92:{2,5,7}:{(62,1),(63,1),(71,1),(128,1),(129,1)}
        93:{1,6,7}:{(63,1),(129,1),(484,1)}
        94:{2,4,7}:{(64,1),(65,1),(73,1),(131,1)}
        95:{1,3,5,7}:{(65,1),(66,1),(67,1),(74,1),(129,1),(131,1),(132,1),(134,1),(220,1),(224,1)}
        96:{2,6,7}:{(66,1),(75,1),(132,1)}
        97:{2,5,7}:{(67,1),(68,1),(77,1),(134,1)}
        98:{3,6,7}:{(68,1),(78,1),(134,1),(224,1)}
        99:{3,4,6}:{(69,1),(125,1),(136,1),(137,1),(149,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(126,1),(137,1),(138,1),(140,1),(212,1),(229,1),(312,1)}
       101:{2,4,6}:{(70,1),(71,1),(80,1),(128,1),(140,1),(141,1),(237,1)}
       102:{1,5,6}:{(71,1),(129,1),(141,1),(430,1),(484,1)}
       103:{1,2,6}:{(72,1),(75,1),(143,1),(251,1),(484,1)}
       104:{1,3,5,7}:{(72,1),(76,1),(82,1),(139,1),(143,1),(144,1),(157,1),(240,1)}
       105:{1,4,6}:{(73,1),(74,1),(83,1),(131,1),(145,1),(149,1)}
       106:{2,5,6}:{(74,1),(75,1),(84,1),(132,1),(145,1),(237,1)}
       107:{2,3,6}:{(75,1),(76,1),(78,1),(143,1),(147,1)}
       108:{2,4,7}:{(76,1),(79,1),(144,1),(147,1),(161,1)}
       109:{3,5,6}:{(77,1),(78,1),(134,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(147,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(148,1),(150,1),(151,1),(227,1),(247,1),(258,1),(328,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(140,1),(152,1),(155,1),(160,1),(333,1)}
       114:{1,4,5}:{(80,1),(141,1),(155,1),(354,1),(430,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(240,1),(250,1),(430,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(144,1),(154,1),(158,1),(159,1),(231,1),(357,1),(415,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(145,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(147,1),(158,1),(161,1),(162,1),(163,1),(242,1),(259,1),(343,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(148,1),(159,1),(162,1),(163,1),(328,1),(416,1)}
       122:{4,5,6}:{(87,1),(164,1),(278,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(168,1),(261,1)}
       125:{3,4,7}:{(89,1),(99,1),(168,1),(178,1)}
       126:{2,3,5,7}:{(89,1),(90,1),(92,1),(100,1),(166,1),(168,1),(169,1),(171,1)}
       127:{1,3,6,7}:{(90,1),(93,1),(167,1),(169,1),(170,1),(266,1),(359,1)}
       128:{2,4,7}:{(91,1),(92,1),(101,1),(171,1),(172,1),(271,1)}
       129:{1,5,7}:{(92,1),(93,1),(102,1),(172,1)}
       130:{1,2,6,7}:{(93,1),(96,1),(103,1),(170,1),(173,1),(174,1),(304,1),(439,1),(454,1),(508,1),(537,1)}
       131:{1,4,7}:{(94,1),(95,1),(105,1),(175,1),(178,1)}
       132:{2,5,7}:{(95,1),(96,1),(106,1),(175,1),(271,1)}
       133:{2,3,6,7}:{(96,1),(98,1),(107,1),(174,1),(176,1),(177,1),(376,1),(454,1),(496,1),(537,1),(549,1)}
       134:{3,5,7}:{(97,1),(98,1),(109,1),(178,1)}
       135:{3,4,6,7}:{(98,1),(110,1),(177,1),(178,1),(179,1),(275,1),(278,1),(376,1),(530,1),(549,1),(552,1)}
       136:{3,4,5}:{(99,1),(180,1),(195,1),(295,1),(509,1)}
       137:{2,4,6}:{(99,1),(100,1),(168,1),(180,1),(182,1)}
       138:{1,3,5,6}:{(100,1),(102,1),(169,1),(182,1),(183,1),(186,1),(262,1),(280,1),(285,1),(359,1),(361,1)}
       139:{2,3,5,7}:{(104,1),(112,1),(184,1),(185,1),(199,1),(201,1),(283,1),(287,1)}
       140:{2,3,6}:{(101,1),(113,1),(171,1),(186,1),(191,1),(285,1)}
       141:{1,4,6}:{(101,1),(102,1),(114,1),(172,1),(186,1)}
       142:{1,2,5,6}:{(102,1),(103,1),(106,1),(115,1),(173,1),(183,1),(187,1),(188,1),(289,1),(303,1),(378,1),(390,1),(439,1),(454,1),(465,1),(513,1)}
       143:{1,3,6}:{(103,1),(104,1),(107,1),(184,1),(189,1)}
       144:{1,4,7}:{(104,1),(108,1),(185,1),(189,1),(204,1)}
       145:{2,4,6}:{(105,1),(106,1),(118,1),(175,1),(191,1)}
       146:{2,3,5,6}:{(106,1),(107,1),(109,1),(119,1),(176,1),(188,1),(191,1),(192,1),(193,1),(277,1),(290,1),(295,1),(376,1),(390,1),(454,1),(456,1),(496,1),(513,1),(531,1),(538,1),(547,1)}
       147:{2,4,6}:{(107,1),(108,1),(110,1),(189,1),(193,1)}
       148:{2,4,5,7}:{(108,1),(111,1),(121,1),(190,1),(193,1),(194,1),(208,1),(297,1),(311,1)}
       149:{4,6}:{(109,1),(178,1),(195,1)}
       150:{3,5}:{(110,1),(193,1),(195,1)}
       151:{3,4,6}:{(111,1),(194,1),(196,1),(278,1),(376,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(380,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(186,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(187,1),(202,1),(203,1),(204,1),(281,1),(292,1),(299,1),(302,1),(306,1),(378,1),(390,1),(399,1),(457,1),(467,1),(510,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(189,1),(200,1),(204,1),(205,1),(206,1),(282,1),(301,1),(308,1),(389,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(190,1),(201,1),(205,1),(206,1),(283,1),(453,1)}
       160:{3,5}:{(118,1),(191,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(193,1),(205,1),(208,1),(295,1),(390,1)}
       163:{2,3,6}:{(121,1),(194,1),(206,1),(376,1),(454,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(136,1),(211,1),(213,1),(227,1),(328,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(127,1),(214,1),(215,1),(217,1),(313,1)}
       168:{2,4,7}:{(125,1),(126,1),(137,1),(217,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(129,1),(138,1),(214,1),(217,1),(218,1),(220,1),(317,1),(320,1)}
       170:{2,6,7}:{(127,1),(218,1),(402,1)}
       171:{2,3,7}:{(128,1),(140,1),(220,1),(224,1),(320,1)}
       172:{1,4,7}:{(128,1),(129,1),(141,1),(220,1)}
       173:{1,2,5,7}:{(129,1),(130,1),(132,1),(142,1),(218,1),(221,1),(222,1),(323,1),(353,1),(416,1),(493,1),(529,1)}
       174:{1,3,6,7}:{(130,1),(133,1),(143,1),(219,1),(222,1),(223,1),(417,1),(471,1),(484,1)}
       175:{2,4,7}:{(131,1),(132,1),(145,1),(224,1)}
       176:{2,3,5,7}:{(132,1),(133,1),(134,1),(146,1),(222,1),(224,1),(225,1),(226,1),(324,1),(328,1),(416,1),(529,1),(545,1),(551,1)}
       177:{2,4,6,7}:{(133,1),(135,1),(147,1),(223,1),(225,1),(226,1),(329,1),(516,1)}
       178:{4,7}:{(134,1),(149,1)}
       179:{3,5,7}:{(135,1),(150,1),(226,1),(227,1),(228,1),(540,1)}
       180:{2,4,5}:{(136,1),(137,1),(229,1),(230,1),(486,1)}
       181:{2,3,4,6}:{(137,1),(140,1),(152,1),(216,1),(229,1),(232,1),(242,1),(312,1),(343,1),(425,1),(486,1),(516,1)}
       182:{1,4,6}:{(137,1),(138,1),(217,1),(230,1),(233,1),(404,1)}
       183:{2,5,6}:{(138,1),(218,1),(233,1),(237,1),(332,1),(402,1)}
       184:{2,3,6}:{(139,1),(143,1),(235,1),(251,1),(335,1)}
       185:{2,4,7}:{(139,1),(144,1),(231,1),(235,1),(249,1)}
       186:{1,3,6}:{(140,1),(141,1),(155,1),(220,1),(237,1)}
       187:{1,2,4,6}:{(141,1),(142,1),(145,1),(156,1),(221,1),(233,1),(237,1),(238,1),(239,1),(343,1),(352,1),(437,1),(494,1),(527,1)}
       188:{1,3,5,6}:{(142,1),(143,1),(146,1),(157,1),(222,1),(234,1),(238,1),(239,1),(240,1),(327,1),(342,1),(344,1),(417,1),(420,1),(430,1),(471,1),(484,1),(517,1)}
       189:{1,4,6}:{(143,1),(144,1),(147,1),(235,1),(240,1)}
       190:{1,4,5,7}:{(144,1),(148,1),(159,1),(236,1),(240,1),(241,1),(255,1),(346,1),(357,1)}
       191:{3,6}:{(145,1),(160,1),(224,1)}
       192:{2,4,6}:{(146,1),(149,1),(161,1),(225,1),(239,1),(242,1),(243,1),(486,1),(550,1)}
       193:{2,5}:{(147,1),(150,1),(240,1)}
       194:{2,4,6}:{(148,1),(151,1),(163,1),(241,1),(244,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(244,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(245,1),(247,1),(331,1),(358,1),(419,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(237,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(238,1),(253,1),(254,1),(333,1),(349,1),(351,1),(526,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(240,1),(250,1),(255,1),(334,1),(351,1),(430,1)}
       206:{1,3,6}:{(159,1),(163,1),(241,1),(251,1),(335,1),(484,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(244,1),(256,1),(259,1),(260,1),(347,1),(431,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(245,1),(257,1),(260,1),(419,1),(485,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(278,1),(376,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(170,1),(265,1),(266,1),(268,1),(360,1),(364,1)}
       216:{2,3,4,7}:{(168,1),(171,1),(181,1),(263,1),(267,1),(275,1),(372,1),(448,1),(501,1)}
       217:{1,4,7}:{(168,1),(169,1),(182,1),(268,1),(364,1)}
       218:{2,5,7}:{(169,1),(170,1),(183,1),(268,1),(271,1)}
       219:{2,3,6,7}:{(170,1),(174,1),(184,1),(266,1),(269,1),(270,1),(304,1),(383,1),(440,1),(451,1),(454,1)}
       220:{1,3,7}:{(171,1),(172,1),(186,1),(271,1)}
       221:{1,2,4,7}:{(172,1),(173,1),(175,1),(187,1),(268,1),(271,1),(272,1),(273,1),(372,1),(398,1),(470,1),(515,1),(539,1)}
       222:{1,3,5,7}:{(173,1),(174,1),(176,1),(188,1),(269,1),(272,1),(273,1),(274,1),(371,1),(453,1)}
       223:{1,4,6,7}:{(174,1),(177,1),(189,1),(270,1),(273,1),(274,1),(374,1),(497,1)}
       224:{3,7}:{(175,1),(191,1)}
       225:{2,4,7}:{(176,1),(178,1),(192,1),(273,1),(275,1),(552,1)}
       226:{2,5,7}:{(177,1),(179,1),(193,1),(274,1),(277,1),(531,1)}
       227:{4,5,7}:{(178,1),(179,1),(195,1),(278,1),(546,1),(552,1)}
       228:{3,5,6}:{(179,1),(277,1),(278,1),(376,1)}
       229:{2,3,5}:{(180,1),(181,1),(280,1),(295,1),(390,1),(531,1)}
       230:{1,4,5}:{(180,1),(182,1),(280,1),(281,1),(442,1),(457,1)}
       231:{3,4,7}:{(185,1),(282,1),(283,1),(301,1),(460,1)}
       232:{1,3,4,6}:{(181,1),(182,1),(186,1),(198,1),(267,1),(280,1),(284,1),(285,1),(359,1),(380,1),(384,1),(389,1),(441,1),(457,1),(497,1)}
       233:{2,4,6}:{(182,1),(183,1),(268,1),(281,1),(285,1)}
       234:{2,3,5,6}:{(183,1),(184,1),(188,1),(199,1),(269,1),(285,1),(286,1),(287,1),(290,1),(303,1),(361,1),(370,1),(379,1),(382,1),(386,1),(390,1),(397,1),(440,1),(451,1),(454,1),(498,1)}
       235:{2,4,6}:{(184,1),(185,1),(189,1),(282,1),(287,1)}
       236:{2,4,5,7}:{(185,1),(190,1),(201,1),(283,1),(287,1),(288,1),(302,1),(381,1),(388,1),(398,1),(460,1)}
       237:{2,6}:{(186,1),(202,1),(271,1)}
       238:{1,3,6}:{(187,1),(191,1),(203,1),(272,1),(285,1),(290,1),(397,1),(538,1)}
       239:{1,4,6}:{(188,1),(192,1),(204,1),(273,1),(286,1),(292,1),(457,1)}
       240:{1,5}:{(189,1),(193,1),(287,1)}
       241:{1,4,6}:{(190,1),(194,1),(206,1),(288,1),(293,1)}
       242:{3,4,6}:{(191,1),(192,1),(207,1),(275,1),(295,1),(376,1),(509,1),(538,1)}
       243:{2,4,5}:{(192,1),(193,1),(195,1),(292,1),(295,1),(390,1),(531,1),(546,1)}
       244:{2,5,6}:{(193,1),(194,1),(196,1),(293,1),(297,1)}
       245:{2,4,6,7}:{(194,1),(197,1),(210,1),(294,1),(297,1),(311,1)}
       246:{4,5,6}:{(195,1),(196,1),(278,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(297,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(289,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(290,1),(300,1),(305,1),(306,1),(390,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(380,1),(457,1),(509,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(381,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(293,1),(303,1),(308,1),(309,1),(382,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(294,1),(304,1),(309,1),(383,1),(508,1)}
       258:{3,4,5}:{(207,1),(208,1),(295,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(297,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(229,1),(312,1),(315,1),(328,1),(416,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(230,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(320,1),(403,1)}
       267:{1,3,4,7}:{(216,1),(217,1),(220,1),(232,1),(315,1),(319,1),(320,1),(407,1),(410,1),(415,1),(476,1)}
       268:{2,4,7}:{(217,1),(218,1),(233,1),(320,1)}
       269:{2,3,5,7}:{(218,1),(219,1),(222,1),(234,1),(317,1),(320,1),(321,1),(322,1),(324,1),(353,1),(412,1),(416,1),(424,1),(436,1)}
       270:{2,4,6,7}:{(219,1),(223,1),(235,1),(318,1),(321,1),(322,1),(413,1),(472,1)}
       271:{2,7}:{(220,1),(237,1)}
       272:{1,3,7}:{(221,1),(224,1),(238,1),(320,1),(324,1),(436,1),(545,1)}
       273:{1,4,7}:{(222,1),(225,1),(239,1),(321,1)}
       274:{1,5,7}:{(223,1),(226,1),(240,1),(322,1),(327,1),(517,1)}
       275:{3,4,7}:{(224,1),(225,1),(242,1),(328,1),(545,1)}
       276:{2,4,5,7}:{(225,1),(226,1),(227,1),(243,1),(326,1),(328,1),(329,1),(416,1)}
       277:{2,5,6}:{(226,1),(228,1),(327,1),(329,1)}
       278:{4,6}:{(227,1),(228,1)}
       279:{3,5,6,7}:{(228,1),(247,1),(330,1),(331,1),(419,1),(551,1)}
       280:{1,3,5}:{(229,1),(230,1),(232,1),(332,1),(333,1),(430,1),(473,1),(517,1)}
       281:{2,4,5}:{(230,1),(233,1),(332,1),(333,1),(421,1)}
       282:{3,4,6}:{(231,1),(235,1),(334,1),(335,1),(423,1)}
       283:{3,5,7}:{(231,1),(236,1),(334,1),(335,1),(351,1),(436,1)}
       284:{2,4,6}:{(232,1),(237,1),(248,1),(319,1),(332,1),(337,1),(402,1),(421,1)}
       285:{3,6}:{(233,1),(320,1),(333,1)}
       286:{2,4,6}:{(234,1),(239,1),(249,1),(321,1),(338,1),(339,1),(404,1),(421,1),(423,1)}
       287:{2,5}:{(235,1),(240,1),(334,1)}
       288:{2,4,6}:{(236,1),(241,1),(251,1),(335,1),(340,1),(423,1)}
       289:{1,2,6}:{(237,1),(252,1),(323,1),(342,1),(494,1)}
       290:{2,3,6}:{(237,1),(238,1),(253,1),(324,1),(342,1),(343,1),(494,1)}
       291:{1,3,4,6}:{(238,1),(239,1),(242,1),(254,1),(325,1),(338,1),(343,1),(344,1),(417,1)}
       292:{1,4,5}:{(239,1),(240,1),(243,1),(339,1),(344,1),(430,1),(517,1)}
       293:{1,5,6}:{(240,1),(241,1),(244,1),(340,1),(346,1)}
       294:{1,4,6,7}:{(241,1),(245,1),(257,1),(341,1),(346,1),(357,1)}
       295:{3,5}:{(242,1),(243,1)}
       296:{2,4,5,6}:{(243,1),(244,1),(246,1),(259,1),(329,1),(345,1),(347,1),(348,1),(431,1),(527,1),(541,1),(550,1)}
       297:{2,5,7}:{(244,1),(245,1),(247,1),(346,1)}
       298:{4,5,7}:{(246,1),(247,1),(331,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(342,1),(349,1),(354,1),(430,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(344,1),(351,1),(355,1),(356,1),(422,1),(434,1),(487,1),(526,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(423,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(346,1),(353,1),(357,1),(424,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(347,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(376,1),(454,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(280,1),(359,1),(362,1),(363,1),(453,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(281,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(270,1),(282,1),(364,1),(365,1),(368,1),(383,1),(441,1),(446,1),(451,1),(460,1)}
       319:{2,4,7}:{(267,1),(271,1),(284,1),(362,1),(367,1)}
       320:{3,7}:{(268,1),(285,1)}
       321:{2,4,7}:{(269,1),(273,1),(286,1),(364,1),(368,1),(460,1)}
       322:{2,5,7}:{(270,1),(274,1),(287,1),(365,1),(370,1),(498,1)}
       323:{1,2,7}:{(271,1),(289,1),(371,1),(515,1)}
       324:{2,3,7}:{(271,1),(272,1),(290,1),(371,1),(372,1),(515,1)}
       325:{1,3,4,7}:{(272,1),(273,1),(275,1),(291,1),(368,1),(372,1),(373,1)}
       326:{1,4,5,7}:{(273,1),(274,1),(276,1),(292,1),(369,1),(373,1),(374,1),(453,1)}
       327:{1,5,6}:{(274,1),(277,1),(370,1),(374,1)}
       328:{3,5,7}:{(275,1),(276,1),(295,1),(376,1)}
       329:{2,4,6}:{(276,1),(277,1),(278,1),(374,1),(376,1),(454,1)}
       330:{2,5,6,7}:{(277,1),(279,1),(297,1),(375,1),(377,1),(548,1)}
       331:{4,6,7}:{(278,1),(279,1),(298,1),(552,1)}
       332:{2,5}:{(280,1),(284,1)}
       333:{3,5}:{(281,1),(285,1),(380,1)}
       334:{3,5}:{(282,1),(287,1),(381,1)}
       335:{3,6}:{(283,1),(288,1)}
       336:{1,2,4,6}:{(284,1),(289,1),(299,1),(366,1),(378,1),(384,1),(389,1),(439,1),(457,1),(461,1),(497,1)}
       337:{2,3,6}:{(284,1),(285,1),(300,1),(367,1),(379,1),(384,1)}
       338:{3,4,6}:{(285,1),(286,1),(301,1),(368,1),(380,1),(386,1),(397,1),(451,1)}
       339:{2,4,5}:{(286,1),(287,1),(292,1),(381,1),(386,1),(390,1),(442,1),(498,1)}
       340:{2,5,6}:{(287,1),(288,1),(293,1),(382,1),(388,1)}
       341:{2,4,6,7}:{(288,1),(294,1),(304,1),(383,1),(388,1),(398,1),(460,1)}
       342:{1,3,6}:{(289,1),(290,1),(305,1),(371,1),(389,1)}
       343:{2,4,6}:{(290,1),(291,1),(306,1),(372,1),(389,1),(390,1),(454,1)}
       344:{1,3,5}:{(291,1),(292,1),(295,1),(386,1),(390,1)}
       345:{1,4,5,6}:{(292,1),(293,1),(296,1),(308,1),(374,1),(387,1),(391,1),(392,1),(465,1),(511,1),(532,1)}
       346:{1,5,7}:{(293,1),(294,1),(297,1),(388,1)}
       347:{3,5,6}:{(295,1),(296,1),(310,1),(376,1),(393,1),(538,1)}
       348:{2,4,5,7}:{(296,1),(297,1),(298,1),(311,1),(377,1),(392,1),(393,1),(466,1),(539,1),(548,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(509,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(390,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(391,1),(397,1),(400,1),(401,1),(459,1),(468,1),(511,1),(538,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(460,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(484,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(332,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(333,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(322,1),(334,1),(408,1),(409,1),(473,1)}
       366:{1,2,4,7}:{(319,1),(323,1),(336,1),(405,1),(410,1),(415,1),(476,1),(480,1)}
       367:{2,3,7}:{(319,1),(320,1),(337,1),(410,1)}
       368:{3,4,7}:{(320,1),(321,1),(338,1),(412,1),(436,1)}
       369:{2,4,5,7}:{(321,1),(322,1),(326,1),(339,1),(408,1),(412,1),(413,1),(416,1)}
       370:{2,5,6}:{(322,1),(327,1),(409,1),(413,1)}
       371:{1,3,7}:{(323,1),(324,1),(342,1),(415,1)}
       372:{2,4,7}:{(324,1),(325,1),(343,1),(415,1),(416,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(344,1),(412,1),(416,1),(417,1)}
       374:{1,4,6}:{(326,1),(327,1),(329,1),(413,1),(417,1),(484,1)}
       375:{1,5,6,7}:{(327,1),(330,1),(346,1),(414,1),(418,1),(542,1)}
       376:{3,6}:{(328,1),(329,1)}
       377:{2,4,6,7}:{(329,1),(330,1),(331,1),(348,1),(418,1),(419,1),(485,1)}
       378:{1,2,5}:{(332,1),(336,1),(420,1),(430,1),(490,1),(517,1)}
       379:{2,3,5}:{(332,1),(333,1),(337,1),(420,1),(421,1)}
       380:{3,4}:{(333,1),(421,1)}
       381:{4,5}:{(334,1),(423,1)}
       382:{3,5,6}:{(334,1),(335,1),(340,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(341,1),(424,1),(436,1)}
       384:{1,3,6}:{(336,1),(337,1),(349,1),(410,1),(420,1),(425,1)}
       385:{2,3,4,6}:{(337,1),(338,1),(343,1),(350,1),(411,1),(421,1),(426,1),(427,1),(435,1),(472,1),(482,1),(488,1)}
       386:{3,5}:{(338,1),(339,1)}
       387:{2,4,5,6}:{(339,1),(340,1),(345,1),(352,1),(413,1),(423,1),(428,1),(429,1),(431,1),(474,1),(488,1),(518,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(424,1)}
       389:{1,4,6}:{(342,1),(343,1),(354,1),(415,1),(430,1),(484,1)}
       390:{2,5}:{(343,1),(344,1),(430,1)}
       391:{1,3,5,6}:{(344,1),(345,1),(347,1),(356,1),(417,1),(428,1),(431,1),(432,1)}
       392:{1,4,5,7}:{(345,1),(346,1),(348,1),(357,1),(418,1),(429,1),(432,1),(493,1),(528,1),(542,1)}
       393:{3,5,7}:{(347,1),(348,1),(358,1),(419,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(526,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(430,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(431,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(432,1),(436,1),(438,1),(489,1),(495,1),(528,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(378,1),(439,1),(443,1),(453,1),(505,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(379,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(380,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(381,1),(442,1),(446,1),(460,1)}
       409:{3,5,6}:{(365,1),(370,1),(446,1),(451,1)}
       410:{1,3,7}:{(366,1),(367,1),(384,1),(448,1)}
       411:{2,3,4,7}:{(367,1),(368,1),(372,1),(385,1),(444,1),(449,1),(450,1),(469,1),(512,1)}
       412:{3,5,7}:{(368,1),(369,1),(386,1),(451,1)}
       413:{2,4,6}:{(369,1),(370,1),(374,1),(446,1),(451,1),(454,1)}
       414:{2,5,6,7}:{(370,1),(375,1),(388,1),(447,1),(452,1),(533,1)}
       415:{1,4,7}:{(371,1),(372,1),(389,1),(453,1)}
       416:{2,5,7}:{(372,1),(373,1),(390,1),(453,1),(454,1)}
       417:{1,3,6}:{(373,1),(374,1),(376,1),(451,1),(454,1)}
       418:{1,4,6,7}:{(374,1),(375,1),(377,1),(392,1),(452,1),(455,1),(508,1)}
       419:{3,6,7}:{(376,1),(377,1),(393,1)}
       420:{1,3,5}:{(378,1),(379,1),(384,1),(456,1),(457,1)}
       421:{2,4}:{(379,1),(380,1),(457,1)}
       422:{3,4,5}:{(380,1),(381,1),(386,1),(458,1),(459,1)}
       423:{4,6}:{(381,1),(382,1),(460,1)}
       424:{3,5,7}:{(382,1),(383,1),(388,1),(460,1)}
       425:{2,3,6}:{(384,1),(394,1),(448,1),(456,1),(461,1),(538,1)}
       426:{1,3,4,6}:{(384,1),(385,1),(389,1),(395,1),(449,1),(457,1),(461,1),(462,1),(468,1),(497,1),(506,1),(509,1),(511,1),(530,1),(538,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(458,1),(462,1),(498,1)}
       428:{3,5,6}:{(386,1),(387,1),(397,1),(451,1),(459,1),(464,1)}
       429:{2,4,5,7}:{(387,1),(388,1),(392,1),(398,1),(452,1),(460,1),(464,1),(466,1),(500,1),(512,1),(533,1)}
       430:{1,5}:{(389,1),(390,1)}
       431:{2,5,6}:{(390,1),(391,1),(400,1),(454,1),(465,1),(466,1)}
       432:{1,3,5,7}:{(391,1),(392,1),(393,1),(401,1),(455,1),(464,1),(466,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(538,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(484,1),(524,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(420,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(421,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(422,1),(473,1),(477,1),(478,1),(489,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(424,1),(479,1),(483,1),(519,1)}
       448:{2,3,7}:{(410,1),(425,1),(480,1),(545,1)}
       449:{1,3,4,7}:{(410,1),(411,1),(415,1),(426,1),(476,1),(480,1),(481,1),(495,1),(520,1),(528,1),(545,1)}
       450:{2,3,5,7}:{(411,1),(412,1),(416,1),(427,1),(477,1),(481,1),(482,1)}
       451:{3,6}:{(412,1),(413,1)}
       452:{2,4,6,7}:{(413,1),(414,1),(418,1),(429,1),(479,1),(483,1),(485,1)}
       453:{1,5,7}:{(415,1),(416,1),(430,1),(484,1)}
       454:{2,6}:{(416,1),(417,1),(484,1)}
       455:{1,3,6,7}:{(417,1),(418,1),(419,1),(432,1),(483,1),(485,1)}
       456:{2,3,5}:{(420,1),(425,1),(486,1),(490,1),(526,1)}
       457:{1,4}:{(420,1),(421,1),(486,1)}
       458:{2,4,5}:{(421,1),(422,1),(427,1),(487,1),(488,1)}
       459:{3,4,6}:{(422,1),(423,1),(428,1),(488,1),(489,1)}
       460:{4,7}:{(423,1),(424,1)}
       461:{2,4,6}:{(425,1),(426,1),(433,1),(480,1),(486,1),(490,1),(494,1),(524,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(487,1),(490,1),(517,1),(526,1),(540,1)}
       463:{2,3,5,6}:{(427,1),(428,1),(431,1),(435,1),(482,1),(488,1),(491,1),(492,1),(518,1)}
       464:{3,5,7}:{(428,1),(429,1),(436,1),(483,1),(489,1)}
       465:{1,5,6}:{(430,1),(431,1),(437,1),(484,1),(493,1)}
       466:{2,5,7}:{(431,1),(432,1),(438,1),(485,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(456,1),(496,1),(501,1),(505,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(457,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(458,1),(498,1),(502,1),(503,1),(512,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(451,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(460,1),(500,1)}
       480:{2,4,7}:{(448,1),(449,1),(461,1),(505,1),(515,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(462,1),(502,1),(505,1),(506,1),(534,1)}
       482:{2,3,6}:{(450,1),(451,1),(454,1),(503,1),(506,1)}
       483:{3,6,7}:{(451,1),(452,1),(464,1)}
       484:{1,6}:{(453,1),(454,1)}
       485:{2,6,7}:{(454,1),(455,1),(466,1),(508,1)}
       486:{2,4}:{(456,1),(457,1),(509,1)}
       487:{1,4,5}:{(457,1),(458,1),(462,1),(510,1),(511,1),(546,1)}
       488:{2,4,6}:{(458,1),(459,1),(463,1),(511,1),(512,1)}
       489:{3,4,7}:{(459,1),(460,1),(464,1),(512,1)}
       490:{2,5}:{(461,1),(462,1)}
       491:{1,3,5,6}:{(462,1),(463,1),(465,1),(468,1),(506,1),(511,1),(513,1),(514,1),(532,1),(538,1),(547,1)}
       492:{2,3,5,7}:{(463,1),(464,1),(466,1),(469,1),(507,1),(512,1),(514,1),(533,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(508,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(524,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(486,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(487,1),(517,1),(521,1),(522,1),(528,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(482,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(489,1),(519,1),(523,1)}
       505:{2,5,7}:{(480,1),(481,1),(490,1),(524,1)}
       506:{1,3,6}:{(481,1),(482,1),(484,1),(522,1),(524,1),(543,1)}
       507:{2,3,6,7}:{(482,1),(483,1),(485,1),(492,1),(523,1),(525,1)}
       508:{1,6,7}:{(484,1),(485,1),(493,1)}
       509:{3,4}:{(486,1),(526,1)}
       510:{2,4,5}:{(486,1),(487,1),(490,1),(526,1),(527,1)}
       511:{1,4,6}:{(487,1),(488,1),(491,1),(527,1),(528,1),(550,1)}
       512:{2,4,7}:{(488,1),(489,1),(492,1),(528,1)}
       513:{2,5,6}:{(490,1),(491,1),(494,1),(524,1),(527,1),(529,1)}
       514:{1,3,5,7}:{(491,1),(492,1),(493,1),(495,1),(525,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(509,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(505,1),(510,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(506,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(507,1),(512,1),(533,1),(536,1)}
       524:{2,6}:{(505,1),(506,1)}
       525:{1,3,6,7}:{(506,1),(507,1),(508,1),(514,1),(536,1),(537,1),(549,1)}
       526:{3,5}:{(509,1),(510,1),(538,1)}
       527:{2,4,6}:{(510,1),(511,1),(513,1),(538,1),(539,1)}
       528:{1,4,7}:{(511,1),(512,1),(514,1),(539,1),(552,1)}
       529:{2,5,7}:{(513,1),(514,1),(515,1),(537,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(526,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(524,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(525,1),(528,1),(542,1),(544,1)}
       537:{2,6,7}:{(524,1),(525,1),(529,1)}
       538:{3,6}:{(526,1),(527,1),(545,1)}
       539:{2,4,7}:{(527,1),(528,1),(529,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1054 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1055 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(30,1),(31,1),(69,1),(72,1),(84,1),(86,1),(125,1),(132,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(17,1),(23,1),(53,1),(59,1),(61,1),(93,1),(102,1),(111,1),(114,1),(162,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(48,1),(92,1),(153,1),(161,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(132,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(120,1),(131,1),(187,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(72,1),(124,1)}
         7:{2,3,5,6,7}:{(5,1),(15,1),(16,1),(48,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(49,1),(53,1),(54,1),(93,1),(148,1),(162,1),(163,1),(164,1),(194,1),(206,1),(229,1),(241,1)}
         9:{2,3,6,7}:{(3,1),(17,1),(20,1),(61,1),(104,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(161,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(53,1),(101,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(48,1),(97,1),(153,1)}
        15:{1,3,5,6,7}:{(7,1),(11,1),(27,1),(28,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(13,1),(28,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(9,1),(31,1),(33,1),(77,1),(134,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(10,1),(33,1),(34,1),(70,1),(120,1),(173,1),(187,1),(223,1),(237,1)}
        19:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(38,1),(80,1),(83,1),(126,1),(132,1),(137,1),(177,1),(184,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(33,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(68,1),(76,1),(87,1),(117,1),(131,1),(139,1),(172,1),(190,1),(213,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(29,1),(41,1),(44,1),(88,1),(124,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,5,6,7}:{(15,1),(21,1),(45,1),(92,1),(148,1)}
        28:{1,4,6,7}:{(15,1),(16,1),(23,1),(45,1),(46,1)}
        29:{2,4,5,7}:{(16,1),(25,1),(46,1),(48,1),(92,1),(194,1)}
        30:{3,4,6,7}:{(16,1),(26,1),(48,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(104,1),(148,1),(151,1),(204,1)}
        32:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(53,1),(97,1),(99,1),(102,1),(151,1),(155,1),(162,1),(199,1),(206,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(20,1),(50,1),(52,1),(53,1)}
        34:{1,2,5,6}:{(18,1),(21,1),(52,1),(54,1),(94,1),(116,1),(161,1),(164,1),(171,1),(207,1),(208,1),(231,1)}
        35:{1,2,4,5,7}:{(18,1),(22,1),(53,1),(54,1),(55,1),(65,1),(95,1),(101,1),(103,1),(115,1),(160,1),(161,1),(163,1),(194,1),(200,1),(208,1),(210,1),(232,1),(234,1),(241,1)}
        36:{2,3,5,7}:{(19,1),(51,1),(56,1),(57,1),(109,1),(161,1),(165,1),(205,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(52,1),(58,1),(61,1),(104,1),(109,1),(161,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(53,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(46,1),(60,1),(63,1),(101,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(92,1),(103,1),(115,1),(146,1),(161,1),(166,1),(194,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(48,1),(153,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(39,1),(66,1),(67,1)}
        46:{1,4,5,7}:{(28,1),(29,1),(41,1),(66,1),(68,1),(120,1),(172,1)}
        47:{1,3,4,6,7}:{(28,1),(30,1),(42,1),(67,1),(68,1),(69,1),(117,1),(119,1),(172,1),(213,1)}
        48:{3,5,7}:{(29,1),(30,1),(44,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(70,1),(72,1),(122,1),(132,1),(182,1),(219,1)}
        50:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(123,1),(173,1),(213,1)}
        51:{1,3,5,7}:{(32,1),(36,1),(70,1),(73,1),(74,1),(123,1),(131,1),(187,1),(223,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(37,1),(71,1),(75,1),(77,1),(131,1),(134,1),(187,1),(224,1)}
        53:{1,4,7}:{(33,1),(38,1),(72,1),(75,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(39,1),(75,1),(77,1),(89,1),(122,1),(132,1),(145,1),(186,1),(193,1),(219,1),(238,1)}
        55:{1,3,5,7}:{(35,1),(40,1),(76,1),(77,1),(78,1),(123,1),(131,1),(189,1),(213,1),(224,1),(225,1),(239,1),(244,1)}
        56:{2,3,5,6}:{(36,1),(73,1),(80,1),(138,1),(177,1),(185,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(74,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(75,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(66,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(213,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(68,1),(85,1),(88,1),(131,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(120,1),(133,1),(172,1),(187,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(60,1),(90,1),(92,1),(146,1)}
        67:{3,6,7}:{(45,1),(61,1),(90,1)}
        68:{1,3,5,7}:{(46,1),(47,1),(48,1),(63,1),(90,1),(92,1)}
        69:{2,4,6,7}:{(47,1),(64,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,5,7}:{(49,1),(51,1),(94,1),(161,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(94,1),(96,1),(104,1),(151,1),(153,1),(161,1),(171,1),(211,1),(212,1)}
        72:{2,4,7}:{(50,1),(53,1),(96,1),(97,1)}
        73:{1,3,5,6}:{(51,1),(56,1),(94,1),(99,1),(151,1),(199,1),(207,1)}
        74:{1,4,5,7}:{(51,1),(53,1),(57,1),(95,1),(99,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(101,1),(234,1)}
        76:{1,3,4,7}:{(53,1),(55,1),(59,1),(97,1),(102,1),(103,1),(234,1),(235,1),(243,1)}
        77:{1,3,6}:{(54,1),(55,1),(61,1),(104,1),(151,1),(212,1),(242,1)}
        78:{2,3,5,7}:{(55,1),(103,1),(104,1),(105,1),(115,1),(161,1),(169,1),(200,1),(204,1),(211,1),(233,1)}
        79:{2,3,5,6,7}:{(56,1),(98,1),(106,1),(165,1),(196,1),(205,1)}
        80:{2,4,6}:{(56,1),(57,1),(99,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(101,1),(109,1),(161,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(103,1),(110,1),(111,1),(146,1),(204,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(90,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(92,1),(116,1),(161,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{3,5,7}:{(66,1),(67,1),(85,1),(117,1)}
        91:{2,3,6,7}:{(67,1),(69,1),(86,1),(118,1),(119,1),(213,1)}
        92:{2,5,7}:{(68,1),(69,1),(88,1),(120,1)}
        93:{1,4,6,7}:{(69,1),(89,1),(119,1),(120,1),(172,1)}
        94:{2,5,6}:{(70,1),(73,1),(122,1),(219,1)}
        95:{2,4,5,7}:{(70,1),(72,1),(74,1),(122,1),(123,1),(124,1)}
        96:{2,4,6}:{(71,1),(72,1),(75,1),(124,1),(125,1),(226,1)}
        97:{3,4,7}:{(72,1),(123,1),(125,1),(213,1)}
        98:{1,3,5,6,7}:{(73,1),(79,1),(121,1),(127,1),(175,1),(183,1),(216,1),(223,1)}
        99:{1,4,6}:{(73,1),(74,1),(80,1),(122,1)}
       100:{1,3,4,5,7}:{(74,1),(76,1),(81,1),(123,1),(129,1),(130,1),(131,1),(178,1),(179,1),(183,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       101:{1,4,5}:{(75,1),(82,1),(124,1),(131,1),(187,1)}
       102:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(125,1),(131,1),(132,1)}
       103:{2,4,7}:{(76,1),(78,1),(132,1),(133,1),(226,1),(240,1)}
       104:{2,3,6}:{(77,1),(78,1),(132,1),(134,1),(145,1),(219,1)}
       105:{1,3,5,7}:{(78,1),(133,1),(134,1),(135,1),(187,1),(189,1),(224,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(127,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(128,1),(136,1),(138,1),(185,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(132,1),(140,1),(141,1),(143,1),(222,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(133,1),(141,1),(142,1),(172,1),(189,1),(213,1)}
       112:{3,4,6}:{(85,1),(117,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(118,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(120,1),(187,1)}
       117:{3,4,7}:{(90,1),(112,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(113,1),(146,1),(147,1)}
       119:{1,3,6,7}:{(91,1),(93,1),(114,1),(147,1),(148,1)}
       120:{1,5,7}:{(92,1),(93,1),(116,1)}
       121:{2,5,6,7}:{(94,1),(98,1),(149,1),(205,1),(229,1)}
       122:{2,4,6}:{(94,1),(95,1),(99,1),(151,1)}
       123:{3,5,7}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5}:{(96,1),(101,1),(153,1),(161,1)}
       125:{3,4,6}:{(96,1),(97,1),(151,1),(153,1),(212,1),(235,1)}
       126:{2,3,4,7}:{(97,1),(103,1),(152,1),(154,1),(155,1),(169,1),(227,1),(243,1)}
       127:{1,4,6,7}:{(98,1),(99,1),(106,1),(149,1),(156,1)}
       128:{1,4,5,6}:{(99,1),(101,1),(107,1),(150,1),(156,1),(158,1),(207,1),(230,1)}
       129:{1,3,4,6}:{(99,1),(100,1),(108,1),(151,1),(158,1),(159,1),(197,1),(199,1),(230,1),(242,1)}
       130:{2,4,5,7}:{(100,1),(103,1),(152,1),(159,1),(160,1),(161,1),(200,1),(201,1),(205,1),(227,1),(232,1),(241,1)}
       131:{1,3,5}:{(101,1),(102,1),(109,1),(153,1),(161,1)}
       132:{2,4,6}:{(102,1),(103,1),(104,1),(161,1),(162,1)}
       133:{1,4,7}:{(103,1),(105,1),(162,1),(234,1)}
       134:{1,3,6}:{(104,1),(105,1),(162,1),(164,1)}
       135:{1,2,5,7}:{(105,1),(115,1),(163,1),(164,1),(200,1),(208,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(156,1),(165,1),(205,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(161,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(162,1),(167,1),(168,1),(170,1),(209,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(146,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(147,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,7}:{(117,1),(118,1),(143,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(144,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(119,1),(145,1),(173,1)}
       149:{2,4,6,7}:{(121,1),(122,1),(127,1),(174,1),(175,1)}
       150:{2,4,5,6}:{(122,1),(124,1),(128,1),(174,1),(176,1),(185,1),(217,1)}
       151:{3,6}:{(122,1),(123,1)}
       152:{2,3,5,7}:{(123,1),(126,1),(130,1),(177,1),(178,1),(180,1),(239,1),(244,1)}
       153:{3,5}:{(124,1),(125,1)}
       154:{2,3,4,6}:{(125,1),(126,1),(132,1),(177,1),(180,1),(181,1),(192,1),(217,1),(226,1)}
       155:{1,3,4,7}:{(126,1),(133,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(128,1),(136,1),(174,1),(183,1),(223,1),(236,1)}
       157:{1,3,4,6,7}:{(127,1),(129,1),(137,1),(175,1),(183,1),(184,1),(214,1),(216,1),(236,1),(244,1)}
       158:{1,3,5,6}:{(128,1),(129,1),(131,1),(138,1),(176,1),(183,1),(185,1)}
       159:{2,4,6}:{(129,1),(130,1),(177,1),(185,1),(186,1),(219,1)}
       160:{1,4,5,7}:{(130,1),(133,1),(178,1),(186,1),(187,1),(220,1),(223,1),(236,1)}
       161:{2,5}:{(131,1),(132,1),(187,1)}
       162:{1,4,6}:{(132,1),(133,1),(134,1),(187,1)}
       163:{1,2,4,7}:{(133,1),(135,1),(142,1),(182,1),(188,1),(189,1)}
       164:{1,2,6}:{(134,1),(135,1),(145,1),(219,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(187,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(189,1),(192,1),(213,1)}
       170:{1,4,6}:{(143,1),(144,1),(172,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(173,1),(191,1),(193,1)}
       172:{1,4,7}:{(146,1),(147,1),(170,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(171,1),(194,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(156,1),(195,1),(205,1),(227,1)}
       175:{3,6,7}:{(149,1),(151,1),(195,1)}
       176:{3,5,6}:{(150,1),(151,1),(153,1),(195,1),(197,1)}
       177:{2,3,6}:{(151,1),(152,1),(159,1),(199,1),(242,1)}
       178:{1,3,5,7}:{(152,1),(155,1),(160,1),(199,1),(200,1),(202,1)}
       179:{3,4,5}:{(153,1),(197,1),(201,1),(235,1)}
       180:{2,3,5}:{(153,1),(154,1),(161,1),(201,1),(202,1)}
       181:{1,3,4,6}:{(154,1),(155,1),(162,1),(199,1),(202,1),(203,1),(209,1),(230,1),(234,1),(242,1),(243,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(165,1),(195,1),(205,1)}
       184:{2,4,6,7}:{(157,1),(159,1),(196,1),(205,1),(206,1),(227,1),(229,1),(241,1)}
       185:{2,5,6}:{(158,1),(159,1),(161,1),(205,1),(207,1)}
       186:{1,4,6}:{(159,1),(160,1),(199,1),(207,1)}
       187:{1,5}:{(161,1),(162,1)}
       188:{1,2,4,6}:{(162,1),(163,1),(164,1),(168,1),(203,1),(208,1),(209,1),(234,1)}
       189:{1,3,7}:{(163,1),(169,1),(204,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(209,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(194,1),(210,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(193,1),(213,1)}
       195:{3,5,7}:{(174,1),(175,1),(176,1),(214,1)}
       196:{2,3,6,7}:{(175,1),(177,1),(184,1),(215,1),(216,1),(244,1)}
       197:{3,4,6}:{(176,1),(179,1),(214,1),(217,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(185,1),(215,1),(217,1),(218,1)}
       199:{1,3,6}:{(177,1),(178,1),(186,1),(219,1)}
       200:{2,5,7}:{(178,1),(182,1),(219,1),(221,1)}
       201:{2,4,5}:{(179,1),(180,1),(217,1),(220,1),(226,1)}
       202:{1,3,5}:{(180,1),(181,1),(187,1),(220,1),(221,1),(239,1)}
       203:{2,4,6}:{(181,1),(182,1),(219,1),(221,1),(222,1),(240,1)}
       204:{2,3,7}:{(182,1),(189,1),(222,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(185,1),(223,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(216,1),(223,1),(236,1)}
       207:{1,5,6}:{(185,1),(186,1),(187,1),(223,1)}
       208:{1,2,5}:{(187,1),(188,1),(191,1),(221,1),(224,1)}
       209:{1,3,6}:{(188,1),(189,1),(192,1),(222,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(224,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(213,1),(225,1)}
       213:{3,7}:{(194,1),(212,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,3,5,7}:{(195,1),(196,1),(198,1),(205,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(196,1),(199,1),(206,1),(228,1),(229,1)}
       217:{2,4,6}:{(197,1),(198,1),(201,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(199,1),(200,1)}
       220:{1,4,5}:{(201,1),(202,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(202,1),(203,1)}
       222:{2,3,6}:{(203,1),(204,1),(209,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(207,1)}
       224:{1,3,5}:{(208,1),(209,1),(211,1),(233,1),(234,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1056 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1057 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(15,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(23,1),(34,1)}
         4:{1,3,4}:{(1,1),(7,1),(9,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(36,1),(169,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(28,1)}
         7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(38,1),(45,1)}
         9:{2,3,4}:{(4,1),(14,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(45,1),(55,1),(160,1),(164,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(21,1),(22,1),(173,1)}
        13:{1,3,4,5}:{(7,1),(23,1),(24,1),(34,1),(73,1)}
        14:{2,3,5}:{(7,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1),(28,1)}
        16:{1,2,5,6}:{(8,1),(11,1),(27,1),(29,1),(36,1),(57,1),(169,1)}
        17:{1,2,4,7}:{(8,1),(28,1),(29,1),(58,1),(66,1)}
        18:{1,3,4}:{(9,1),(25,1),(30,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(33,1),(64,1),(75,1),(146,1),(152,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(12,1),(28,1),(33,1),(35,1),(66,1),(170,1)}
        22:{1,2,5,7}:{(11,1),(12,1),(35,1),(36,1)}
        23:{2,4,5}:{(13,1),(14,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(40,1),(45,1),(87,1)}
        25:{1,3,5}:{(14,1),(18,1),(37,1),(41,1),(42,1)}
        26:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(44,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(20,1),(43,1),(45,1),(46,1),(55,1),(100,1),(155,1),(160,1)}
        28:{1,3,7}:{(15,1),(17,1),(44,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(46,1),(47,1),(80,1),(173,1)}
        30:{1,2,4}:{(18,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1),(51,1),(85,1),(97,1),(128,1),(136,1)}
        32:{2,3,5}:{(19,1),(20,1),(50,1),(52,1)}
        33:{2,3,4,7}:{(19,1),(21,1),(44,1),(51,1),(53,1),(88,1),(161,1)}
        34:{1,4,5}:{(20,1),(45,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(54,1),(55,1)}
        36:{1,2,6}:{(22,1),(55,1)}
        37:{1,4,5}:{(23,1),(25,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(24,1),(57,1),(59,1),(60,1),(103,1)}
        40:{1,3,4,7}:{(24,1),(28,1),(58,1),(60,1),(66,1),(112,1)}
        41:{1,2,5}:{(25,1),(30,1),(61,1)}
        42:{1,3,6}:{(25,1),(26,1),(56,1),(61,1),(63,1)}
        43:{2,3,5,6}:{(26,1),(27,1),(32,1),(57,1),(62,1),(64,1),(65,1),(75,1),(103,1),(121,1),(141,1),(146,1)}
        44:{2,3,7}:{(26,1),(28,1),(58,1),(63,1)}
        45:{1,4,6}:{(27,1),(34,1),(64,1),(66,1)}
        46:{1,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(66,1),(67,1),(114,1),(166,1),(170,1)}
        47:{1,2,6,7}:{(29,1),(36,1),(67,1),(105,1)}
        48:{1,2,3}:{(30,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(61,1),(68,1),(69,1),(70,1),(115,1),(117,1)}
        50:{1,3,5}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(63,1),(70,1),(72,1),(110,1),(147,1)}
        52:{2,4,5}:{(32,1),(34,1),(64,1),(71,1),(73,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(75,1)}
        54:{1,4,5,7}:{(34,1),(35,1),(66,1),(74,1),(76,1),(114,1)}
        55:{1,3,6}:{(35,1),(36,1),(75,1),(76,1)}
        56:{1,4,6}:{(37,1),(38,1),(42,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(80,1)}
        58:{2,4,7}:{(38,1),(40,1),(44,1),(78,1),(80,1)}
        59:{1,4,5,6}:{(39,1),(45,1),(79,1),(81,1),(100,1),(155,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(80,1),(81,1),(82,1),(125,1)}
        61:{1,2,6}:{(41,1),(42,1),(84,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(50,1),(77,1),(83,1),(85,1),(86,1),(97,1),(128,1),(139,1)}
        63:{1,3,7}:{(42,1),(44,1),(78,1),(84,1)}
        64:{2,4,6}:{(43,1),(45,1),(52,1),(85,1),(87,1),(88,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(125,1),(135,1),(156,1),(161,1)}
        66:{1,4,7}:{(45,1),(46,1),(88,1)}
        67:{1,3,6,7}:{(46,1),(47,1),(55,1),(89,1),(90,1),(172,1)}
        68:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(128,1)}
        69:{1,2,5}:{(49,1),(50,1)}
        70:{1,2,4,7}:{(49,1),(51,1),(84,1),(92,1),(94,1)}
        71:{1,4,5}:{(50,1),(52,1),(85,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(97,1)}
        73:{3,4,5}:{(52,1),(87,1)}
        74:{2,4,5,7}:{(52,1),(53,1),(54,1),(88,1),(96,1),(98,1),(99,1),(135,1)}
        75:{2,3,6}:{(53,1),(55,1),(97,1),(99,1)}
        76:{1,4,6}:{(54,1),(55,1),(99,1),(100,1)}
        77:{1,5,6}:{(56,1),(57,1),(102,1)}
        78:{1,4,7}:{(56,1),(58,1),(63,1),(102,1)}
        79:{2,4,5,6}:{(57,1),(59,1),(64,1),(101,1),(103,1),(104,1),(121,1),(141,1),(154,1)}
        80:{2,5,7}:{(57,1),(58,1),(60,1),(102,1),(105,1)}
        81:{1,4,5,7}:{(59,1),(60,1),(66,1),(104,1),(106,1),(114,1),(166,1)}
        82:{1,3,6,7}:{(60,1),(105,1),(106,1),(144,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(69,1),(107,1),(108,1),(117,1),(141,1)}
        84:{1,2,7}:{(61,1),(63,1)}
        85:{1,4,6}:{(62,1),(64,1),(71,1),(110,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(65,1),(102,1),(108,1),(110,1),(111,1),(147,1),(150,1)}
        87:{3,4,6}:{(64,1),(73,1),(103,1),(112,1)}
        88:{2,4,7}:{(64,1),(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,6,7}:{(65,1),(67,1),(75,1),(105,1),(111,1),(113,1),(144,1),(167,1)}
        90:{1,4,6,7}:{(66,1),(67,1),(76,1),(113,1),(114,1)}
        91:{1,2,3,5}:{(68,1),(69,1),(115,1),(116,1)}
        92:{1,2,3,7}:{(68,1),(70,1),(147,1)}
        93:{1,2,4,5}:{(69,1),(71,1),(107,1),(115,1),(116,1),(118,1)}
        94:{1,2,5,7}:{(69,1),(70,1),(72,1),(117,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(109,1),(116,1),(118,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(110,1),(119,1),(150,1)}
        97:{1,3,6}:{(72,1),(75,1),(117,1),(119,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(112,1),(120,1),(151,1)}
        99:{2,4,6}:{(74,1),(75,1),(76,1),(119,1),(120,1),(121,1)}
       100:{1,5,6}:{(76,1),(114,1),(121,1)}
       101:{1,4,5,6}:{(77,1),(79,1),(85,1),(122,1),(123,1),(139,1)}
       102:{1,5,7}:{(77,1),(78,1),(80,1),(124,1)}
       103:{3,5,6}:{(79,1),(87,1),(125,1)}
       104:{2,4,5,7}:{(79,1),(80,1),(81,1),(88,1),(123,1),(125,1),(126,1),(135,1),(156,1),(163,1)}
       105:{2,6,7}:{(80,1),(82,1),(124,1)}
       106:{1,4,6,7}:{(81,1),(82,1),(126,1),(127,1),(172,1)}
       107:{1,2,4,6}:{(83,1),(85,1),(93,1),(128,1),(129,1),(131,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(129,1),(130,1),(156,1)}
       109:{1,3,4,6}:{(85,1),(87,1),(95,1),(122,1),(128,1),(131,1),(132,1)}
       110:{1,4,7}:{(85,1),(86,1),(88,1)}
       111:{1,3,6,7}:{(86,1),(89,1),(97,1),(124,1),(130,1),(133,1)}
       112:{3,4,7}:{(87,1),(88,1),(125,1)}
       113:{2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(133,1),(134,1),(135,1)}
       114:{1,5,7}:{(90,1),(100,1),(135,1)}
       115:{1,2,4}:{(91,1),(136,1)}
       116:{1,3,5}:{(93,1),(128,1),(136,1),(137,1)}
       117:{1,2,6}:{(94,1),(97,1)}
       118:{2,4,5}:{(95,1),(131,1),(137,1),(138,1)}
       119:{1,4,6}:{(96,1),(97,1),(99,1),(139,1)}
       120:{3,4,6}:{(98,1),(99,1),(140,1)}
       121:{2,5,6}:{(99,1),(100,1),(135,1),(139,1),(140,1)}
       122:{1,3,5,6}:{(101,1),(103,1),(109,1),(141,1),(142,1)}
       123:{1,4,5,7}:{(101,1),(102,1),(104,1),(110,1),(142,1),(143,1),(150,1)}
       124:{1,6,7}:{(102,1),(105,1)}
       125:{3,5,7}:{(103,1),(104,1),(112,1),(144,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(144,1),(145,1),(167,1),(168,1)}
       127:{1,5,6,7}:{(106,1),(114,1),(145,1)}
       128:{1,3,6}:{(107,1),(116,1),(146,1),(147,1)}
       129:{1,2,4,7}:{(107,1),(108,1),(110,1),(147,1),(149,1)}
       130:{1,2,6,7}:{(108,1),(111,1),(117,1),(167,1)}
       131:{2,4,6}:{(109,1),(118,1),(141,1),(146,1),(148,1),(149,1)}
       132:{1,3,4,7}:{(109,1),(110,1),(112,1),(142,1),(147,1),(149,1)}
       133:{1,4,6,7}:{(110,1),(111,1),(113,1),(119,1),(150,1)}
       134:{3,4,6,7}:{(112,1),(113,1),(120,1),(144,1),(151,1),(168,1)}
       135:{2,5,7}:{(113,1),(114,1),(121,1),(150,1),(151,1)}
       136:{1,3,4}:{(115,1),(116,1),(152,1)}
       137:{2,3,5}:{(116,1),(118,1),(146,1),(152,1),(153,1)}
       138:{1,4,5}:{(118,1),(148,1),(153,1)}
       139:{1,5,6}:{(119,1),(121,1),(150,1)}
       140:{3,5,6}:{(120,1),(121,1),(151,1),(154,1)}
       141:{2,5,6}:{(122,1),(131,1),(155,1),(156,1)}
       142:{1,3,5,7}:{(122,1),(123,1),(125,1),(132,1),(156,1),(157,1)}
       143:{1,4,6,7}:{(123,1),(124,1),(126,1),(157,1),(158,1)}
       144:{3,6,7}:{(125,1),(126,1)}
       145:{2,5,6,7}:{(126,1),(127,1),(135,1),(158,1),(159,1)}
       146:{2,3,6}:{(128,1),(131,1),(137,1),(160,1),(161,1)}
       147:{1,3,7}:{(128,1),(129,1),(161,1)}
       148:{1,4,6}:{(131,1),(138,1),(155,1),(160,1),(162,1)}
       149:{2,4,7}:{(131,1),(132,1),(156,1),(161,1),(162,1)}
       150:{1,5,7}:{(133,1),(135,1),(139,1)}
       151:{3,5,7}:{(134,1),(135,1),(140,1),(163,1)}
       152:{2,3,4}:{(136,1),(137,1),(164,1)}
       153:{1,3,5}:{(137,1),(138,1),(160,1),(164,1),(165,1)}
       154:{4,5,6}:{(140,1),(163,1)}
       155:{1,5,6}:{(141,1),(148,1),(166,1)}
       156:{2,5,7}:{(141,1),(142,1),(149,1),(166,1),(167,1)}
       157:{1,3,6,7}:{(142,1),(143,1),(144,1),(167,1)}
       158:{1,5,6,7}:{(143,1),(145,1),(150,1)}
       159:{3,5,6,7}:{(144,1),(145,1),(151,1),(168,1)}
       160:{1,3,6}:{(146,1),(148,1),(153,1),(169,1),(170,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(170,1)}
       162:{1,4,7}:{(148,1),(149,1),(166,1),(170,1)}
       163:{4,5,7}:{(151,1),(154,1),(168,1)}
       164:{1,3,4}:{(152,1),(153,1),(171,1)}
       165:{1,2,5}:{(153,1),(169,1),(171,1)}
       166:{1,5,7}:{(155,1),(156,1),(162,1),(172,1)}
       167:{2,6,7}:{(156,1),(157,1),(172,1)}
       168:{4,6,7}:{(159,1),(163,1)}
       169:{1,2,6}:{(160,1),(165,1),(173,1)}
       170:{1,3,7}:{(160,1),(161,1),(162,1),(173,1)}
       171:{1,2,4}:{(164,1),(165,1),(174,1)}
       172:{1,6,7}:{(166,1),(167,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,2,3}:{(171,1)}

1058 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(92,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(69,1),(110,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(28,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(67,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(30,1),(31,1),(35,1),(66,1)}
         5:{1,3,4,6}:{(1,1),(4,1),(11,1),(12,1),(13,1),(17,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
         6:{1,2,5}:{(1,1),(12,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(13,1),(16,1),(126,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{2,3,5}:{(4,1),(12,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(51,1),(90,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(30,1),(55,1),(59,1),(66,1)}
        12:{1,3,5}:{(5,1),(6,1),(9,1),(21,1),(24,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(10,1),(22,1),(25,1),(62,1),(67,1),(111,1)}
        14:{1,2,5,6}:{(6,1),(23,1),(26,1),(27,1),(29,1),(104,1),(110,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(26,1),(28,1),(64,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(25,1),(29,1)}
        17:{1,3,4}:{(8,1),(28,1),(30,1)}
        18:{2,3,5,6}:{(9,1),(23,1),(31,1),(32,1),(35,1),(66,1),(70,1),(75,1),(104,1)}
        19:{2,4,5}:{(9,1),(24,1),(31,1),(33,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(34,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(37,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(78,1),(90,1)}
        23:{1,3,5,6}:{(12,1),(14,1),(18,1),(36,1),(39,1),(40,1),(43,1),(44,1),(88,1),(89,1),(121,1)}
        24:{1,4,5}:{(12,1),(19,1),(37,1),(39,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(44,1),(45,1),(84,1)}
        27:{1,2,5,7}:{(14,1),(40,1),(45,1),(46,1),(122,1),(126,1)}
        28:{1,3,5}:{(15,1),(17,1),(44,1),(47,1)}
        29:{1,2,6}:{(16,1),(43,1)}
        30:{2,3,4}:{(17,1),(47,1),(48,1)}
        31:{2,4,6}:{(18,1),(19,1),(39,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(18,1),(40,1),(51,1),(52,1),(90,1),(93,1),(96,1),(122,1)}
        33:{3,4,5}:{(19,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(42,1),(51,1),(53,1),(54,1),(96,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,3,5,6}:{(21,1),(23,1),(55,1),(56,1),(59,1),(66,1),(98,1),(103,1),(104,1)}
        37:{2,4,5}:{(21,1),(24,1),(55,1),(57,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(59,1)}
        39:{1,4,6}:{(23,1),(24,1),(31,1),(55,1),(62,1)}
        40:{1,3,5,7}:{(23,1),(27,1),(32,1),(56,1),(62,1),(63,1),(67,1),(109,1),(111,1),(133,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(33,1),(57,1),(61,1),(64,1)}
        42:{1,4,5,7}:{(24,1),(25,1),(34,1),(58,1),(62,1),(65,1),(109,1)}
        43:{1,3,6}:{(25,1),(29,1),(35,1),(59,1),(65,1)}
        44:{1,3,6}:{(26,1),(28,1),(66,1),(67,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(62,1),(67,1),(108,1)}
        46:{1,2,6,7}:{(27,1),(29,1),(63,1),(134,1)}
        47:{2,3,5}:{(28,1),(30,1),(64,1),(66,1),(68,1)}
        48:{1,3,4}:{(30,1),(68,1),(69,1)}
        49:{2,4,5,6}:{(31,1),(60,1),(70,1),(71,1),(75,1),(104,1),(115,1)}
        50:{3,4,6}:{(31,1),(33,1),(70,1),(72,1)}
        51:{2,4,7}:{(31,1),(32,1),(62,1),(72,1)}
        52:{2,3,6,7}:{(32,1),(35,1),(63,1),(73,1),(112,1),(134,1)}
        53:{3,4,5,7}:{(33,1),(34,1),(72,1),(74,1),(114,1)}
        54:{2,4,6}:{(34,1),(35,1),(65,1),(74,1),(75,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(77,1),(78,1)}
        56:{2,3,5,7}:{(36,1),(40,1),(78,1),(79,1),(90,1),(116,1),(119,1),(122,1)}
        57:{3,4,5}:{(37,1),(77,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(78,1),(80,1),(81,1),(119,1)}
        59:{2,3,6}:{(38,1),(43,1),(81,1)}
        60:{1,4,5,6}:{(39,1),(49,1),(76,1),(82,1),(83,1),(88,1),(121,1)}
        61:{1,3,4,6}:{(39,1),(41,1),(44,1),(50,1),(77,1),(82,1),(84,1),(85,1)}
        62:{1,4,7}:{(39,1),(40,1),(51,1),(78,1)}
        63:{1,3,6,7}:{(40,1),(43,1),(46,1),(52,1),(79,1),(86,1),(138,1)}
        64:{2,4,5}:{(41,1),(47,1),(84,1),(87,1)}
        65:{1,4,6}:{(42,1),(43,1),(54,1),(81,1),(88,1)}
        66:{2,3,6}:{(44,1),(47,1),(84,1),(89,1),(90,1)}
        67:{1,3,7}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(47,1),(48,1),(87,1),(89,1),(91,1)}
        69:{1,2,4}:{(48,1),(91,1),(92,1)}
        70:{3,5,6}:{(49,1),(50,1),(93,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(93,1),(94,1),(96,1),(122,1),(128,1)}
        72:{3,4,7}:{(50,1),(51,1),(93,1)}
        73:{2,4,6,7}:{(51,1),(52,1),(54,1),(86,1),(95,1),(96,1)}
        74:{3,4,6}:{(53,1),(54,1),(97,1)}
        75:{2,5,6}:{(54,1),(88,1),(96,1),(97,1)}
        76:{2,4,5,6}:{(55,1),(60,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        77:{3,4,6}:{(55,1),(57,1),(98,1),(100,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1),(100,1)}
        79:{2,3,6,7}:{(56,1),(59,1),(63,1),(101,1),(129,1),(134,1)}
        80:{3,4,5,7}:{(57,1),(58,1),(100,1),(102,1),(131,1)}
        81:{2,4,6}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        82:{1,3,5,6}:{(60,1),(61,1),(70,1),(98,1),(104,1),(105,1)}
        83:{1,4,5,7}:{(60,1),(62,1),(71,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        84:{2,4,6}:{(61,1),(64,1),(66,1),(104,1),(107,1),(108,1)}
        85:{1,3,4,7}:{(61,1),(62,1),(67,1),(72,1),(100,1),(105,1),(108,1)}
        86:{1,4,6,7}:{(62,1),(63,1),(65,1),(73,1),(101,1),(109,1)}
        87:{1,4,5}:{(64,1),(68,1),(107,1)}
        88:{1,5,6}:{(65,1),(75,1),(103,1),(109,1)}
        89:{1,3,6}:{(66,1),(68,1),(107,1),(110,1),(111,1)}
        90:{2,3,7}:{(66,1),(67,1),(108,1),(111,1)}
        91:{1,2,5}:{(68,1),(69,1),(110,1)}
        92:{1,2,3}:{(69,1)}
        93:{3,5,7}:{(70,1),(71,1),(72,1),(112,1)}
        94:{2,4,6,7}:{(71,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(72,1),(73,1),(74,1),(112,1),(114,1),(135,1)}
        96:{2,5,7}:{(73,1),(75,1),(109,1),(114,1)}
        97:{3,5,6}:{(74,1),(75,1),(114,1),(115,1)}
        98:{3,5,6}:{(76,1),(77,1),(116,1)}
        99:{2,4,5,7}:{(76,1),(78,1),(83,1),(116,1),(117,1),(119,1),(122,1),(137,1)}
       100:{3,4,7}:{(77,1),(78,1),(116,1)}
       101:{2,4,6,7}:{(78,1),(79,1),(81,1),(86,1),(118,1),(119,1)}
       102:{3,4,6}:{(80,1),(81,1),(120,1)}
       103:{2,5,6}:{(81,1),(88,1),(119,1),(120,1)}
       104:{2,5,6}:{(82,1),(84,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(83,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(84,1),(87,1),(89,1),(121,1),(125,1)}
       108:{2,4,7}:{(84,1),(85,1),(90,1),(122,1),(125,1)}
       109:{1,5,7}:{(86,1),(88,1),(96,1),(119,1)}
       110:{1,2,6}:{(89,1),(91,1),(126,1)}
       111:{1,3,7}:{(89,1),(90,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(96,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{2,5,7}:{(101,1),(103,1),(109,1),(131,1)}
       120:{3,5,6}:{(102,1),(103,1),(131,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(119,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1059 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1060 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1061 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(81,1),(122,1),(127,1),(130,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(95,1),(99,1),(102,1),(156,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(107,1),(157,1),(161,1)}
         3:{1,2,4,5,6}:{(6,1),(8,1),(21,1),(28,1),(57,1),(62,1),(107,1),(112,1),(116,1),(153,1),(157,1),(161,1),(200,1),(205,1),(234,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(14,1),(34,1),(38,1),(70,1),(73,1),(76,1),(130,1),(132,1),(182,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(129,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(13,1),(38,1),(41,1),(83,1),(127,1),(131,1),(136,1),(142,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(13,1),(14,1),(133,1),(182,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(86,1),(133,1),(144,1),(182,1),(222,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(27,1),(48,1),(50,1),(59,1),(102,1),(111,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(101,1),(157,1),(160,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(99,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1),(159,1),(169,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(106,1),(161,1)}
        15:{1,3,4,6}:{(8,1),(24,1),(25,1),(28,1),(200,1),(204,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(57,1),(61,1),(106,1),(112,1),(117,1),(161,1)}
        17:{1,2,5,6,7}:{(9,1),(30,1),(43,1),(73,1),(84,1),(124,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(31,1),(129,1),(138,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(75,1),(182,1),(184,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(124,1),(129,1),(188,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(14,1),(38,1),(39,1),(41,1),(80,1)}
        24:{1,3,4,5}:{(15,1),(40,1),(86,1),(141,1),(219,1),(222,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(41,1),(181,1),(184,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(16,1),(38,1),(41,1),(42,1),(136,1),(143,1)}
        27:{1,3,6,7}:{(14,1),(39,1),(42,1),(43,1),(133,1)}
        28:{2,4,6}:{(15,1),(16,1),(40,1),(41,1),(45,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(81,1),(86,1),(91,1),(133,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(47,1),(48,1),(51,1),(152,1),(157,1),(198,1)}
        31:{1,4,5,7}:{(18,1),(19,1),(49,1),(50,1),(59,1)}
        32:{1,3,4,6,7}:{(18,1),(20,1),(48,1),(50,1),(51,1),(93,1),(96,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(97,1),(101,1),(157,1),(205,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(63,1),(101,1),(105,1),(106,1),(148,1),(151,1),(160,1),(204,1),(207,1),(231,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(208,1)}
        37:{1,3,4,5,7}:{(22,1),(24,1),(25,1),(53,1),(56,1),(58,1),(103,1),(109,1),(159,1),(166,1),(208,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(64,1),(107,1)}
        40:{2,4,5}:{(24,1),(28,1),(61,1),(62,1),(112,1),(168,1)}
        41:{2,4,7}:{(25,1),(26,1),(28,1),(64,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(115,1)}
        43:{1,2,6,7}:{(27,1),(65,1),(161,1)}
        44:{2,3,4,6}:{(28,1),(61,1),(63,1),(66,1),(106,1),(117,1),(168,1),(204,1),(207,1)}
        45:{1,4,6}:{(28,1),(29,1),(62,1),(64,1)}
        46:{1,2,5,6}:{(29,1),(65,1),(67,1),(112,1),(161,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(69,1),(73,1),(84,1),(120,1),(126,1),(131,1),(138,1),(179,1),(214,1)}
        48:{1,3,6,7}:{(30,1),(69,1),(70,1),(176,1),(182,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(81,1),(129,1),(219,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(73,1)}
        51:{2,4,6,7}:{(32,1),(70,1),(73,1),(74,1),(120,1),(123,1)}
        52:{3,5,6}:{(33,1),(34,1),(75,1),(182,1),(222,1)}
        53:{3,4,5,7}:{(34,1),(75,1),(77,1),(184,1),(222,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(73,1),(76,1),(77,1),(78,1),(222,1),(224,1),(240,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(74,1),(78,1),(79,1),(85,1),(88,1),(128,1),(129,1),(133,1),(138,1),(174,1),(176,1),(181,1),(182,1),(184,1),(187,1),(218,1),(223,1),(239,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(75,1),(80,1),(129,1),(133,1),(182,1)}
        57:{2,5,6}:{(36,1),(38,1),(80,1),(81,1),(224,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(40,1),(41,1),(80,1),(82,1),(83,1),(136,1),(190,1),(224,1)}
        59:{1,5,7}:{(38,1),(39,1),(81,1)}
        60:{1,2,4,6,7}:{(39,1),(43,1),(79,1),(84,1),(85,1),(89,1),(134,1),(138,1),(214,1),(216,1),(239,1)}
        61:{2,3,5}:{(40,1),(44,1),(86,1),(222,1),(224,1)}
        62:{1,4,5}:{(40,1),(45,1),(86,1),(191,1)}
        63:{2,3,4,7}:{(41,1),(44,1),(82,1),(88,1),(143,1),(184,1),(190,1)}
        64:{1,4,7}:{(41,1),(42,1),(45,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(46,1),(89,1),(136,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(86,1),(88,1),(90,1),(91,1),(133,1),(141,1),(144,1),(191,1),(223,1)}
        67:{1,2,4,6}:{(45,1),(46,1),(87,1),(89,1),(90,1),(91,1)}
        68:{1,2,4,5,6}:{(47,1),(49,1),(92,1),(97,1),(108,1),(146,1),(152,1),(157,1),(163,1),(193,1),(198,1),(205,1),(225,1),(227,1),(243,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(92,1),(93,1),(94,1),(159,1),(229,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(94,1),(95,1),(151,1),(198,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(52,1),(96,1),(97,1),(232,1)}
        72:{1,3,4,5,7}:{(50,1),(53,1),(93,1),(96,1),(98,1),(103,1),(145,1),(154,1),(159,1),(203,1),(232,1)}
        73:{2,5,7}:{(50,1),(51,1),(97,1),(99,1)}
        74:{1,4,6,7}:{(51,1),(95,1),(99,1),(149,1),(152,1)}
        75:{3,4,6}:{(52,1),(53,1),(101,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(57,1),(97,1),(101,1),(102,1),(106,1),(151,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(160,1),(205,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(59,1),(99,1),(102,1),(103,1),(104,1),(159,1),(208,1),(232,1),(234,1),(243,1)}
        79:{2,4,6,7}:{(55,1),(104,1),(105,1),(114,1),(157,1),(160,1),(161,1),(196,1),(198,1),(207,1),(231,1)}
        80:{2,4,6}:{(56,1),(57,1),(58,1),(106,1),(107,1),(161,1)}
        81:{1,5,6}:{(57,1),(59,1),(107,1),(234,1)}
        82:{2,3,5,7}:{(58,1),(61,1),(63,1),(106,1),(109,1),(159,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(64,1),(107,1),(109,1),(209,1),(234,1)}
        84:{1,2,5,7}:{(59,1),(60,1),(104,1),(108,1),(111,1),(243,1)}
        85:{1,3,6,7}:{(60,1),(105,1),(111,1),(115,1),(162,1),(229,1),(230,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(112,1),(234,1)}
        87:{1,2,4,5}:{(62,1),(67,1),(112,1),(113,1),(168,1)}
        88:{1,3,4,7}:{(63,1),(64,1),(66,1),(109,1),(114,1),(115,1),(169,1),(209,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1)}
        90:{2,4,6}:{(66,1),(112,1),(114,1),(117,1),(161,1),(168,1)}
        91:{1,3,6}:{(67,1),(113,1),(115,1),(117,1)}
        92:{1,3,5,6}:{(68,1),(69,1),(118,1),(119,1),(176,1),(182,1),(210,1),(222,1),(238,1)}
        93:{1,3,4,7}:{(69,1),(118,1),(120,1),(138,1),(184,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(73,1),(119,1),(120,1),(121,1),(179,1),(215,1)}
        95:{1,3,6,7}:{(70,1),(74,1),(121,1),(122,1),(176,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(75,1),(123,1),(129,1),(176,1),(182,1)}
        97:{2,5,6}:{(71,1),(73,1),(123,1),(124,1),(240,1)}
        98:{2,4,5,7}:{(72,1),(73,1),(120,1),(123,1),(125,1),(126,1),(170,1),(179,1),(221,1),(240,1)}
        99:{1,5,7}:{(73,1),(74,1),(124,1)}
       100:{1,2,4,6,7}:{(74,1),(79,1),(122,1),(127,1),(128,1),(142,1),(175,1),(177,1),(181,1),(185,1),(223,1)}
       101:{2,4,6}:{(75,1),(76,1),(77,1),(129,1)}
       102:{1,3,5,6}:{(76,1),(78,1),(81,1),(124,1),(129,1),(130,1),(133,1),(176,1),(182,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(129,1),(131,1),(138,1),(181,1),(188,1),(219,1)}
       104:{2,5,7}:{(78,1),(79,1),(130,1),(224,1),(240,1)}
       105:{2,3,6,7}:{(79,1),(85,1),(128,1),(132,1),(143,1),(182,1),(186,1),(215,1),(217,1)}
       106:{2,3,6}:{(80,1),(82,1),(133,1),(182,1)}
       107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
       108:{1,2,5,6}:{(81,1),(84,1),(130,1),(134,1),(135,1),(216,1),(224,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(86,1),(88,1),(133,1),(136,1)}
       110:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(89,1),(131,1),(134,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       111:{1,3,5,7}:{(84,1),(85,1),(132,1),(135,1),(138,1)}
       112:{2,5}:{(86,1),(90,1)}
       113:{1,3,5}:{(87,1),(91,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(90,1),(136,1),(143,1)}
       115:{1,3,7}:{(89,1),(91,1),(143,1)}
       116:{1,2,4,6}:{(90,1),(139,1),(142,1),(144,1),(185,1),(191,1),(223,1)}
       117:{2,3,6}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(145,1),(146,1),(163,1),(204,1)}
       119:{2,3,5,6}:{(92,1),(94,1),(97,1),(146,1),(147,1),(151,1),(192,1),(198,1),(225,1),(228,1)}
       120:{2,4,7}:{(93,1),(94,1),(146,1),(149,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(99,1),(147,1),(149,1),(150,1),(197,1)}
       122:{1,2,6,7}:{(95,1),(150,1),(198,1)}
       123:{2,4,6}:{(96,1),(97,1),(98,1),(151,1),(152,1),(198,1)}
       124:{1,5,6}:{(97,1),(99,1),(152,1),(243,1)}
       125:{2,3,5,7}:{(98,1),(148,1),(151,1),(154,1),(159,1),(192,1)}
       126:{1,4,5,7}:{(98,1),(99,1),(149,1),(152,1),(154,1),(193,1),(233,1),(243,1)}
       127:{1,2,5,7}:{(99,1),(100,1),(104,1),(153,1),(156,1),(234,1)}
       128:{1,3,6,7}:{(100,1),(105,1),(156,1),(169,1),(197,1),(199,1),(206,1)}
       129:{1,4,6}:{(101,1),(102,1),(103,1),(157,1)}
       130:{2,5,6}:{(102,1),(104,1),(157,1),(161,1),(198,1)}
       131:{2,4,5,7}:{(103,1),(104,1),(157,1),(159,1),(160,1),(205,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(111,1),(156,1),(158,1),(159,1),(160,1)}
       133:{1,3,6}:{(106,1),(107,1),(109,1),(161,1)}
       134:{1,2,4,6}:{(107,1),(108,1),(110,1),(157,1),(161,1),(162,1),(163,1),(207,1)}
       135:{1,3,5,6}:{(108,1),(111,1),(158,1),(162,1),(163,1),(208,1),(230,1),(243,1)}
       136:{2,5,7}:{(109,1),(112,1),(114,1),(161,1)}
       137:{1,3,5,7}:{(110,1),(113,1),(115,1),(159,1),(162,1),(165,1),(166,1),(208,1)}
       138:{1,4,7}:{(111,1),(160,1),(163,1)}
       139:{1,2,5}:{(112,1),(116,1),(167,1),(234,1)}
       140:{2,3,5}:{(112,1),(113,1),(117,1),(167,1),(168,1)}
       141:{1,3,4}:{(113,1),(168,1)}
       142:{1,2,4,7}:{(114,1),(116,1),(164,1),(169,1),(209,1)}
       143:{2,3,7}:{(114,1),(115,1),(117,1),(169,1)}
       144:{1,3,6}:{(116,1),(117,1),(167,1),(169,1)}
       145:{1,3,4,5}:{(118,1),(170,1),(188,1),(210,1),(222,1),(237,1)}
       146:{2,4,6}:{(118,1),(119,1),(120,1),(170,1),(172,1)}
       147:{1,3,5,6}:{(119,1),(121,1),(124,1),(172,1),(173,1),(176,1),(210,1),(213,1)}
       148:{2,3,4,7}:{(120,1),(125,1),(171,1),(174,1),(184,1),(215,1),(221,1)}
       149:{1,4,7}:{(120,1),(121,1),(172,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(173,1),(175,1),(179,1)}
       151:{2,3,6}:{(123,1),(125,1),(176,1),(182,1)}
       152:{1,4,6}:{(123,1),(124,1),(126,1),(176,1)}
       153:{1,2,5,6}:{(124,1),(127,1),(130,1),(177,1),(178,1),(185,1),(240,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(174,1),(176,1),(179,1),(210,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(131,1),(175,1),(177,1),(179,1),(180,1),(181,1),(211,1),(219,1),(221,1),(240,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(132,1),(178,1),(181,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1)}
       158:{2,3,5,6}:{(130,1),(132,1),(135,1),(178,1),(182,1),(183,1),(186,1),(217,1),(222,1),(224,1),(240,1)}
       159:{3,5,7}:{(131,1),(182,1),(184,1),(222,1)}
       160:{2,4,7}:{(132,1),(138,1),(181,1),(183,1),(184,1)}
       161:{2,6}:{(133,1),(136,1)}
       162:{1,3,6}:{(134,1),(137,1),(182,1),(186,1)}
       163:{1,4,6}:{(135,1),(138,1),(183,1),(188,1)}
       164:{1,2,5,7}:{(136,1),(139,1),(142,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(136,1),(137,1),(140,1),(143,1),(186,1),(189,1),(190,1),(224,1)}
       166:{1,3,4,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(190,1)}
       167:{1,3,5}:{(139,1),(140,1),(144,1),(191,1)}
       168:{2,4}:{(140,1),(141,1),(191,1)}
       169:{1,3,7}:{(142,1),(143,1),(144,1)}
       170:{2,4,5}:{(145,1),(146,1),(192,1),(193,1),(225,1),(242,1)}
       171:{2,3,4,6}:{(146,1),(148,1),(151,1),(192,1),(194,1),(204,1),(228,1),(231,1),(242,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(193,1)}
       173:{1,2,5,6}:{(147,1),(150,1),(195,1),(198,1),(225,1)}
       174:{1,3,4,7}:{(148,1),(149,1),(154,1),(194,1),(196,1),(197,1),(229,1),(233,1)}
       175:{1,2,4,7}:{(149,1),(150,1),(195,1),(196,1),(197,1)}
       176:{1,3,6}:{(151,1),(152,1),(154,1),(198,1)}
       177:{1,2,4,6}:{(152,1),(153,1),(155,1),(157,1),(198,1),(199,1),(200,1),(231,1)}
       178:{1,3,5,6}:{(153,1),(156,1),(158,1),(199,1),(200,1),(206,1),(232,1),(234,1)}
       179:{2,5,7}:{(154,1),(196,1),(198,1),(225,1)}
       180:{1,3,5,7}:{(155,1),(159,1),(197,1),(199,1),(202,1),(203,1),(226,1),(232,1)}
       181:{1,4,7}:{(156,1),(160,1),(200,1)}
       182:{3,6}:{(157,1),(159,1)}
       183:{2,4,6}:{(158,1),(160,1),(163,1),(200,1),(204,1),(205,1)}
       184:{3,4,7}:{(159,1),(160,1),(204,1)}
       185:{1,2,6}:{(161,1),(164,1),(206,1)}
       186:{2,3,6}:{(161,1),(162,1),(165,1),(206,1),(207,1)}
       187:{1,3,4,6}:{(162,1),(163,1),(166,1),(204,1),(207,1),(208,1)}
       188:{1,4,5}:{(163,1),(205,1),(208,1),(243,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(167,1),(169,1),(206,1),(209,1),(234,1)}
       190:{2,4,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       191:{1,4}:{(167,1),(168,1)}
       192:{2,3,5}:{(170,1),(171,1),(210,1),(222,1),(240,1)}
       193:{1,4,5}:{(170,1),(172,1),(210,1),(244,1)}
       194:{1,3,4,6}:{(171,1),(172,1),(174,1),(176,1),(210,1),(212,1),(213,1),(237,1),(238,1),(239,1),(244,1)}
       195:{1,2,4,6}:{(172,1),(173,1),(175,1),(211,1),(212,1),(213,1)}
       196:{2,4,7}:{(174,1),(179,1),(212,1),(215,1)}
       197:{1,3,7}:{(175,1),(213,1),(215,1)}
       198:{2,6}:{(176,1),(179,1)}
       199:{1,3,6}:{(177,1),(180,1),(182,1),(217,1)}
       200:{1,4,6}:{(178,1),(181,1),(183,1),(219,1)}
       201:{1,2,5,7}:{(179,1),(214,1),(216,1),(220,1),(235,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(215,1),(217,1),(220,1),(221,1),(236,1),(240,1)}
       203:{1,3,4,7}:{(180,1),(181,1),(184,1),(218,1),(221,1),(237,1)}
       204:{3,4,6}:{(182,1),(183,1),(184,1),(222,1)}
       205:{2,4,5}:{(183,1),(188,1),(219,1),(222,1),(224,1),(240,1)}
       206:{1,3,6}:{(185,1),(186,1),(189,1),(223,1)}
       207:{2,4,6}:{(186,1),(187,1),(190,1),(223,1),(224,1)}
       208:{1,3,5}:{(187,1),(188,1),(222,1),(224,1)}
       209:{1,4,7}:{(189,1),(190,1),(191,1),(223,1)}
       210:{1,3,5}:{(192,1),(193,1),(194,1),(225,1),(243,1)}
       211:{1,2,4,5}:{(193,1),(195,1),(225,1),(226,1),(242,1)}
       212:{2,4,6}:{(194,1),(196,1),(198,1),(225,1),(228,1),(242,1)}
       213:{1,3,6}:{(195,1),(197,1),(226,1),(228,1)}
       214:{1,2,4,7}:{(196,1),(201,1),(227,1),(229,1),(233,1)}
       215:{2,3,7}:{(196,1),(197,1),(228,1),(229,1)}
       216:{1,2,6}:{(198,1),(201,1),(230,1)}
       217:{2,3,6}:{(198,1),(199,1),(202,1),(230,1),(231,1)}
       218:{1,3,4,6}:{(199,1),(200,1),(203,1),(204,1),(231,1),(232,1)}
       219:{1,4,5}:{(200,1),(205,1),(232,1),(234,1)}
       220:{1,3,5,7}:{(201,1),(202,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       221:{2,4,7}:{(202,1),(203,1),(231,1),(233,1),(242,1)}
       222:{3,5}:{(204,1),(205,1)}
       223:{1,4,6}:{(206,1),(207,1),(209,1),(234,1)}
       224:{2,5}:{(207,1),(208,1),(234,1)}
       225:{2,5}:{(210,1),(212,1)}
       226:{1,3,5}:{(211,1),(213,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(212,1),(214,1),(216,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(212,1),(213,1),(215,1),(236,1),(238,1)}
       229:{1,3,7}:{(214,1),(215,1),(238,1)}
       230:{1,3,6}:{(216,1),(217,1),(220,1),(239,1)}
       231:{2,4,6}:{(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,3,5}:{(218,1),(219,1),(222,1),(240,1)}
       233:{1,4,7}:{(220,1),(221,1),(239,1),(244,1)}
       234:{1,5}:{(223,1),(224,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1062 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1063 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

1064 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1065 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

1066 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1067 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1068 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1069 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1070 :   0:{1,2,6,7}:{(3,1),(5,1),(160,1),(246,1),(305,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(80,1),(138,1),(159,1),(160,1),(223,1),(238,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(27,1),(33,1),(80,1),(87,1),(139,1),(155,1),(223,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(116,1),(264,1),(341,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(16,1),(48,1),(50,1),(98,1),(116,1),(178,1),(264,1),(266,1),(341,1),(394,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(15,1),(117,1),(181,1),(203,1),(280,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(52,1),(123,1),(200,1),(274,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(249,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(134,1),(162,1),(220,1),(221,1),(238,1),(249,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(148,1),(160,1),(221,1),(318,1),(321,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(31,1),(65,1),(68,1),(70,1),(80,1),(134,1),(148,1),(160,1),(221,1),(238,1),(241,1),(313,1),(321,1),(377,1),(381,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(28,1),(78,1),(371,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(28,1),(30,1),(137,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(27,1),(28,1),(307,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(28,1),(30,1),(81,1),(165,1),(243,1),(312,1)}
        16:{1,3,6}:{(6,1),(7,1),(30,1),(31,1),(313,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(80,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(176,1),(205,1),(290,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(37,1),(38,1),(40,1),(54,1),(92,1),(94,1),(118,1),(176,1),(205,1),(207,1),(290,1),(359,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(37,1),(39,1),(121,1),(177,1),(262,1),(280,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(96,1),(258,1),(274,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(44,1),(105,1),(355,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(44,1),(53,1),(97,1),(106,1),(117,1),(177,1),(280,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(38,1),(43,1),(44,1),(45,1),(284,1),(399,1)}
        26:{1,5,7}:{(12,1),(42,1),(48,1),(394,1)}
        27:{1,4,5}:{(14,1),(43,1),(50,1),(178,1),(394,1)}
        28:{1,4,7}:{(13,1),(14,1),(44,1)}
        29:{1,3,4,6}:{(14,1),(16,1),(17,1),(45,1),(50,1),(51,1),(52,1),(116,1)}
        30:{1,3,7}:{(15,1),(16,1),(53,1),(347,1)}
        31:{2,3,6}:{(16,1),(18,1),(52,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(50,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(118,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(61,1),(127,1),(134,1),(162,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(62,1),(132,1),(328,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(62,1),(64,1),(83,1),(161,1)}
        38:{1,4,6}:{(20,1),(25,1),(61,1),(62,1),(251,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(62,1),(64,1),(135,1),(299,1),(312,1),(363,1)}
        40:{1,3,6}:{(22,1),(59,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(71,1),(142,1),(148,1),(374,1),(378,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(68,1),(381,1)}
        43:{2,4,5}:{(25,1),(27,1),(61,1),(70,1),(80,1),(134,1),(381,1),(414,1)}
        44:{2,4,7}:{(24,1),(25,1),(28,1),(62,1),(71,1),(411,1)}
        45:{3,4,6}:{(25,1),(70,1),(71,1),(148,1),(313,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,4,5,6}:{(27,1),(67,1),(76,1),(77,1),(78,1),(220,1),(231,1),(314,1),(327,1),(384,1)}
        48:{1,5,6}:{(26,1),(68,1),(78,1)}
        49:{1,4,5,7}:{(26,1),(27,1),(28,1),(69,1),(78,1),(79,1),(222,1)}
        50:{1,3,5}:{(27,1),(29,1),(70,1),(80,1)}
        51:{1,3,4,7}:{(28,1),(29,1),(30,1),(71,1),(79,1),(81,1)}
        52:{2,4,6}:{(29,1),(31,1),(33,1),(80,1),(81,1),(82,1),(160,1)}
        53:{2,3,7}:{(30,1),(31,1),(81,1),(83,1),(243,1)}
        54:{1,3,6}:{(31,1),(34,1),(82,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(77,1),(85,1),(86,1),(141,1),(154,1),(231,1),(313,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(80,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(92,1),(359,1)}
        61:{1,4,5}:{(38,1),(43,1),(94,1),(118,1),(359,1)}
        62:{1,4,7}:{(37,1),(38,1),(44,1)}
        63:{1,3,4,6}:{(38,1),(40,1),(45,1),(89,1),(94,1),(95,1),(96,1),(176,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(90,1),(96,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(400,1)}
        67:{2,4,5,6}:{(43,1),(47,1),(91,1),(103,1),(104,1),(105,1),(115,1),(175,1),(186,1),(187,1),(274,1),(275,1),(349,1),(354,1),(399,1),(402,1)}
        68:{2,5,6}:{(42,1),(48,1),(92,1),(99,1),(105,1)}
        69:{2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(93,1),(100,1),(105,1),(106,1),(117,1),(177,1)}
        70:{3,5}:{(43,1),(45,1)}
        71:{3,4,7}:{(44,1),(45,1),(106,1),(347,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(52,1),(96,1),(107,1),(108,1),(109,1),(110,1),(168,1),(186,1),(194,1),(198,1),(254,1),(284,1),(286,1),(348,1),(355,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(48,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(103,1),(113,1),(114,1),(262,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(50,1),(55,1),(104,1),(114,1),(115,1),(116,1),(293,1),(360,1)}
        78:{1,4,6}:{(48,1),(49,1),(105,1),(116,1),(264,1)}
        79:{1,3,5,7}:{(49,1),(50,1),(51,1),(106,1),(116,1),(117,1)}
        80:{2,5}:{(50,1),(52,1),(118,1)}
        81:{2,4,7}:{(51,1),(52,1),(53,1),(117,1),(119,1)}
        82:{1,4,6}:{(52,1),(54,1),(57,1),(118,1),(119,1),(205,1)}
        83:{1,3,7}:{(53,1),(54,1),(119,1),(121,1)}
        84:{1,2,6}:{(54,1),(58,1),(121,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(114,1),(122,1),(185,1),(199,1),(273,1),(347,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(115,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(118,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(134,1),(297,1),(298,1)}
        91:{1,4,5,6}:{(61,1),(67,1),(130,1),(131,1),(132,1),(159,1),(231,1),(314,1),(370,1),(410,1)}
        92:{1,5,6}:{(60,1),(68,1),(132,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(62,1),(69,1),(132,1),(133,1),(161,1)}
        94:{1,3,5}:{(61,1),(63,1),(70,1),(134,1)}
        95:{1,3,4,7}:{(62,1),(63,1),(64,1),(71,1),(133,1),(135,1)}
        96:{2,4,6}:{(63,1),(65,1),(127,1),(134,1),(135,1),(136,1),(221,1)}
        97:{2,3,7}:{(64,1),(65,1),(135,1),(137,1),(363,1)}
        98:{1,3,6}:{(65,1),(128,1),(136,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(68,1),(142,1),(148,1)}
       100:{4,5,7}:{(66,1),(142,1),(411,1),(414,1)}
       101:{3,4,5}:{(70,1),(141,1),(144,1),(317,1),(376,1),(414,1)}
       102:{2,5,6,7}:{(68,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,5,7}:{(67,1),(76,1),(130,1),(145,1),(146,1),(158,1),(219,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       104:{3,5,6}:{(67,1),(70,1),(141,1),(146,1),(148,1),(313,1),(376,1),(413,1)}
       105:{2,4,6}:{(68,1),(69,1),(78,1),(132,1),(142,1),(148,1),(160,1),(221,1)}
       106:{3,5,7}:{(69,1),(70,1),(71,1),(148,1)}
       107:{2,3,5}:{(70,1),(72,1),(80,1),(134,1),(144,1),(150,1),(324,1),(376,1),(381,1),(407,1)}
       108:{2,3,4,7}:{(71,1),(72,1),(81,1),(135,1),(149,1),(151,1),(153,1),(230,1),(242,1),(295,1),(322,1),(323,1),(375,1),(406,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(82,1),(136,1),(150,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(231,1),(239,1),(251,1),(296,1),(307,1),(309,1),(313,1),(317,1),(328,1),(371,1),(378,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(313,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(78,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(85,1),(146,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(80,1),(86,1),(158,1),(159,1),(160,1),(324,1),(382,1)}
       116:{1,3,6}:{(78,1),(79,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(83,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(84,1),(88,1),(152,1),(162,1),(163,1),(164,1),(249,1),(251,1),(294,1),(328,1),(361,1),(405,1)}
       121:{1,2,7}:{(83,1),(84,1),(243,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(158,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(159,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(162,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(327,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(94,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(178,1),(260,1)}
       129:{1,5,6,7}:{(92,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,5,7}:{(91,1),(103,1),(173,1),(174,1),(203,1),(273,1),(345,1)}
       131:{1,3,5,6}:{(91,1),(94,1),(104,1),(169,1),(174,1),(175,1),(176,1),(391,1),(419,1)}
       132:{1,4,6}:{(92,1),(93,1),(105,1),(176,1),(205,1)}
       133:{1,3,5,7}:{(93,1),(94,1),(95,1),(106,1),(176,1),(177,1)}
       134:{2,5}:{(94,1),(96,1),(178,1)}
       135:{2,4,7}:{(95,1),(96,1),(97,1),(177,1),(179,1)}
       136:{1,4,6}:{(96,1),(98,1),(171,1),(178,1),(179,1),(264,1)}
       137:{1,3,7}:{(97,1),(98,1),(179,1),(181,1)}
       138:{1,2,6}:{(98,1),(172,1),(181,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(184,1),(191,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(104,1),(185,1),(186,1),(399,1)}
       142:{4,6}:{(99,1),(100,1)}
       143:{3,4,5,7}:{(100,1),(101,1),(106,1),(185,1),(188,1),(189,1),(271,1),(351,1),(398,1),(400,1),(421,1)}
       144:{2,4,5}:{(101,1),(107,1),(186,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(105,1),(113,1),(173,1),(184,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,5,7}:{(103,1),(104,1),(185,1),(191,1),(347,1)}
       147:{2,3,5,6}:{(104,1),(107,1),(110,1),(115,1),(175,1),(186,1),(192,1),(193,1),(194,1),(254,1),(275,1)}
       148:{3,6}:{(105,1),(106,1)}
       149:{2,3,5,7}:{(106,1),(107,1),(108,1),(117,1),(177,1),(189,1),(194,1),(195,1),(356,1),(398,1),(418,1)}
       150:{1,3,5}:{(107,1),(109,1),(118,1),(178,1),(190,1),(196,1),(278,1),(344,1),(359,1),(394,1),(400,1),(417,1)}
       151:{1,3,4,7}:{(108,1),(109,1),(119,1),(179,1),(195,1),(197,1),(199,1),(208,1),(267,1),(273,1),(291,1),(332,1),(342,1),(343,1),(347,1),(351,1),(416,1)}
       152:{2,4,6}:{(109,1),(112,1),(196,1),(197,1),(198,1),(200,1),(256,1),(282,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(347,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(116,1),(191,1),(202,1),(360,1)}
       158:{2,5,7}:{(114,1),(115,1),(122,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(118,1),(123,1),(203,1),(205,1),(344,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(196,1),(207,1),(359,1),(417,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(121,1),(197,1),(206,1),(208,1),(291,1),(385,1),(416,1)}
       164:{1,3,6}:{(120,1),(125,1),(198,1),(207,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(204,1),(209,1),(210,1),(274,1),(286,1),(289,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(131,1),(141,1),(214,1),(215,1),(231,1),(296,1),(313,1)}
       170:{2,4,5}:{(126,1),(127,1),(134,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(132,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,5,7}:{(130,1),(131,1),(146,1),(214,1),(218,1),(219,1)}
       175:{2,5,6}:{(131,1),(134,1),(215,1),(219,1),(220,1),(221,1),(407,1),(424,1)}
       176:{1,3,6}:{(132,1),(133,1),(148,1),(221,1)}
       177:{2,5,7}:{(133,1),(134,1),(135,1),(221,1),(222,1)}
       178:{1,5}:{(134,1),(136,1)}
       179:{1,4,7}:{(135,1),(136,1),(137,1),(222,1)}
       180:{1,2,4,6}:{(136,1),(138,1),(139,1),(152,1),(217,1),(223,1),(224,1),(225,1),(226,1),(305,1),(307,1),(309,1),(371,1)}
       181:{1,2,7}:{(137,1),(138,1),(363,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,6,7}:{(140,1),(142,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(146,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(147,1),(230,1),(231,1)}
       187:{4,5,6}:{(142,1),(228,1),(232,1),(414,1),(425,1)}
       188:{3,4,6}:{(142,1),(143,1),(148,1),(232,1),(233,1),(413,1),(425,1)}
       189:{2,4,5,7}:{(143,1),(144,1),(149,1),(230,1),(233,1),(234,1),(310,1),(322,1),(381,1)}
       190:{1,4,5}:{(144,1),(150,1),(231,1),(235,1),(251,1),(307,1),(414,1)}
       191:{3,6,7}:{(145,1),(146,1),(148,1),(413,1)}
       192:{2,3,5,7}:{(146,1),(147,1),(153,1),(158,1),(219,1),(230,1),(236,1),(237,1),(295,1),(310,1)}
       193:{1,3,5,6}:{(147,1),(150,1),(154,1),(159,1),(220,1),(231,1),(237,1),(238,1),(239,1),(296,1),(313,1),(314,1),(377,1)}
       194:{2,3,6}:{(148,1),(149,1),(160,1),(221,1),(233,1),(239,1),(382,1),(413,1),(424,1)}
       195:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(222,1),(234,1),(239,1),(240,1),(316,1),(372,1),(423,1)}
       196:{2,5}:{(150,1),(152,1)}
       197:{2,4,7}:{(151,1),(152,1),(240,1),(242,1),(243,1),(363,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(241,1),(242,1),(298,1),(313,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(160,1),(246,1),(382,1)}
       203:{1,5,7}:{(158,1),(159,1),(165,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(162,1),(166,1),(238,1),(247,1),(248,1),(249,1),(324,1),(361,1),(382,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(240,1),(249,1),(250,1),(423,1)}
       207:{1,3,5}:{(162,1),(164,1),(241,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(242,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(247,1),(252,1),(312,1),(323,1),(326,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(313,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(174,1),(185,1),(257,1),(273,1),(332,1),(347,1)}
       215:{2,4,6}:{(169,1),(170,1),(175,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(178,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(176,1),(191,1),(261,1),(419,1)}
       219:{2,5,7}:{(174,1),(175,1),(257,1),(261,1),(262,1)}
       220:{1,5,6}:{(175,1),(178,1),(258,1),(262,1),(264,1),(417,1),(426,1)}
       221:{2,6}:{(176,1),(177,1),(264,1)}
       222:{1,5,7}:{(177,1),(178,1),(179,1),(264,1)}
       223:{1,2,5}:{(178,1),(180,1),(196,1),(266,1),(344,1),(394,1)}
       224:{1,2,4,7}:{(179,1),(180,1),(181,1),(197,1),(265,1),(267,1),(268,1),(342,1),(343,1)}
       225:{1,3,6}:{(180,1),(183,1),(198,1),(260,1),(266,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(187,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(273,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(273,1),(274,1),(399,1)}
       232:{3,5,6}:{(187,1),(188,1),(271,1),(275,1),(400,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(275,1),(276,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(273,1),(276,1),(277,1),(291,1),(342,1),(345,1),(359,1),(394,1)}
       235:{2,4,5}:{(190,1),(196,1),(274,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(202,1),(261,1),(272,1),(279,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(199,1),(203,1),(262,1),(273,1),(279,1),(280,1),(332,1),(345,1),(347,1),(396,1)}
       238:{2,5,6}:{(193,1),(196,1),(200,1),(274,1),(280,1),(282,1),(333,1)}
       239:{1,3,6}:{(194,1),(195,1),(205,1),(264,1),(276,1),(282,1),(350,1),(395,1),(426,1)}
       240:{2,5,7}:{(195,1),(196,1),(197,1),(282,1)}
       241:{2,3,5}:{(196,1),(198,1),(207,1),(266,1),(278,1),(284,1)}
       242:{2,3,7}:{(197,1),(198,1),(208,1),(267,1),(347,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(205,1),(395,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(209,1),(280,1),(287,1),(288,1),(356,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(207,1),(210,1),(281,1),(288,1),(289,1),(290,1),(293,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,2,6}:{(205,1),(206,1),(282,1),(290,1),(426,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(283,1),(290,1),(291,1),(359,1)}
       251:{1,4}:{(207,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(347,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(289,1),(292,1),(293,1),(348,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(313,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(219,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(220,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(223,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(370,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(221,1),(302,1),(424,1)}
       262:{1,5,7}:{(219,1),(220,1),(299,1),(302,1)}
       263:{1,2,5,6}:{(220,1),(223,1),(226,1),(238,1),(300,1),(303,1),(304,1),(305,1),(407,1),(424,1)}
       264:{1,6}:{(221,1),(222,1)}
       265:{1,2,5,7}:{(222,1),(223,1),(224,1),(240,1),(305,1),(306,1),(372,1)}
       266:{1,3,5}:{(223,1),(225,1),(241,1),(307,1)}
       267:{1,3,7}:{(224,1),(225,1),(242,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(232,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(237,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(235,1),(238,1),(312,1),(313,1)}
       275:{2,5,6}:{(232,1),(233,1),(310,1),(314,1),(381,1)}
       276:{1,4,6}:{(233,1),(234,1),(239,1),(314,1),(315,1)}
       277:{2,4,5,7}:{(234,1),(235,1),(240,1),(312,1),(315,1),(316,1),(322,1),(373,1),(381,1),(411,1),(414,1)}
       278:{3,5}:{(235,1),(313,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(239,1),(246,1),(302,1),(311,1),(318,1),(374,1)}
       280:{2,5,7}:{(237,1),(238,1),(243,1),(312,1),(318,1),(363,1)}
       281:{2,3,5,6}:{(238,1),(241,1),(244,1),(248,1),(304,1),(313,1),(319,1),(320,1),(321,1),(324,1),(364,1),(376,1),(377,1),(381,1),(382,1),(407,1),(413,1),(415,1),(424,1)}
       282:{2,6}:{(239,1),(240,1)}
       283:{2,3,5,7}:{(240,1),(241,1),(242,1),(250,1),(306,1),(316,1),(321,1),(322,1),(381,1)}
       284:{2,4}:{(241,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(252,1),(319,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(251,1),(320,1),(326,1),(327,1)}
       290:{1,3,6}:{(249,1),(250,1),(321,1),(328,1)}
       291:{1,4,7}:{(250,1),(251,1),(322,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(326,1),(329,1),(375,1)}
       293:{1,3,5}:{(253,1),(324,1),(327,1),(376,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(347,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(262,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(263,1),(274,1),(333,1),(335,1),(336,1),(340,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(264,1),(426,1)}
       303:{1,2,5,7}:{(262,1),(263,1),(268,1),(280,1),(335,1),(338,1),(339,1),(418,1)}
       304:{1,3,5,6}:{(263,1),(266,1),(269,1),(281,1),(336,1),(339,1),(340,1),(341,1),(344,1),(391,1),(394,1),(395,1),(419,1),(420,1)}
       305:{1,2,6}:{(264,1),(265,1),(282,1),(341,1),(395,1)}
       306:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(341,1),(342,1),(394,1)}
       307:{1,4}:{(266,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(275,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(276,1),(279,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(280,1),(347,1)}
       313:{3,6}:{(274,1),(278,1),(347,1)}
       314:{1,5,6}:{(275,1),(276,1),(345,1),(349,1),(359,1),(394,1)}
       315:{2,4,6}:{(276,1),(277,1),(282,1),(349,1),(350,1),(399,1)}
       316:{3,5,7}:{(277,1),(278,1),(347,1),(350,1),(351,1),(400,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,5,7}:{(280,1),(281,1),(285,1),(288,1),(339,1),(347,1),(352,1),(353,1),(356,1),(388,1),(396,1),(398,1),(401,1),(418,1)}
       320:{2,4,6}:{(281,1),(284,1),(289,1),(340,1),(348,1),(353,1),(354,1),(399,1)}
       321:{2,3,6}:{(282,1),(283,1),(290,1),(341,1),(350,1),(355,1)}
       322:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(351,1),(355,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(353,1)}
       327:{1,4,5}:{(289,1),(293,1),(354,1),(359,1),(417,1)}
       328:{1,4,6}:{(290,1),(291,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(358,1),(360,1),(398,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(303,1),(312,1),(363,1),(366,1),(369,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(313,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,5,7}:{(303,1),(304,1),(308,1),(319,1),(366,1),(368,1),(369,1),(372,1),(409,1)}
       340:{1,4,6}:{(304,1),(307,1),(320,1),(369,1),(370,1)}
       341:{1,3,6}:{(305,1),(306,1),(321,1),(371,1)}
       342:{1,4,7}:{(306,1),(307,1),(322,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(314,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(315,1),(318,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(317,1),(320,1),(375,1),(376,1),(413,1)}
       349:{2,5,6}:{(314,1),(315,1),(373,1),(377,1),(381,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{3,4,7}:{(316,1),(317,1),(322,1),(378,1),(411,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(374,1),(379,1),(382,1),(413,1),(424,1)}
       353:{2,4,7}:{(319,1),(320,1),(326,1),(369,1),(375,1),(411,1)}
       354:{2,4,5}:{(320,1),(324,1),(327,1),(370,1),(376,1),(381,1),(407,1),(414,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(378,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(328,1),(379,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(329,1),(380,1),(383,1),(384,1),(423,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(413,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(347,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(340,1),(348,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,7}:{(339,1),(340,1),(353,1)}
       370:{1,4,5}:{(340,1),(344,1),(354,1),(391,1),(394,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(349,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(350,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(353,1),(398,1)}
       376:{3,5}:{(348,1),(354,1)}
       377:{3,5,6}:{(349,1),(350,1),(396,1),(399,1),(400,1)}
       378:{3,4,6}:{(350,1),(351,1),(355,1),(399,1),(400,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(355,1),(357,1),(392,1),(397,1),(401,1),(402,1)}
       380:{2,4,5,7}:{(353,1),(354,1),(356,1),(358,1),(393,1),(398,1),(401,1),(402,1),(418,1),(421,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(400,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(359,1),(401,1),(403,1)}
       384:{1,4,6}:{(358,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(369,1),(375,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(370,1),(376,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(371,1),(379,1),(409,1),(410,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(380,1),(408,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(379,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(380,1),(413,1)}
       399:{4,6}:{(377,1),(411,1),(414,1)}
       400:{3,5}:{(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(381,1),(383,1),(409,1),(412,1),(415,1)}
       402:{2,4,6}:{(380,1),(382,1),(384,1),(410,1),(413,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(393,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(394,1),(401,1),(420,1)}
       410:{1,4,6}:{(393,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(402,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(414,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

1071 :   0:{1,4,5,6,7}:{(1,1),(2,1),(28,1),(32,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(16,1),(18,1),(51,1),(106,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(114,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(13,1),(32,1),(130,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(75,1),(140,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(32,1),(36,1),(75,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(150,1)}
         7:{1,3,4,5,6}:{(11,1),(14,1),(29,1),(40,1),(70,1),(88,1),(133,1),(151,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(166,1)}
         9:{3,4,6,7}:{(4,1),(17,1),(18,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(18,1),(19,1),(21,1),(44,1),(48,1)}
        11:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(20,1),(49,1),(55,1),(102,1),(111,1),(114,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(57,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(188,1)}
        14:{2,4,5,6}:{(7,1),(20,1),(24,1),(25,1),(61,1),(119,1),(189,1)}
        15:{1,3,4,6,7}:{(8,1),(9,1),(26,1),(27,1),(32,1),(66,1),(75,1)}
        16:{2,5,6,7}:{(8,1),(27,1),(28,1),(205,1)}
        17:{3,4,5,7}:{(9,1),(29,1),(30,1),(140,1),(280,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(30,1),(32,1)}
        19:{1,3,5,6,7}:{(10,1),(13,1),(28,1),(32,1),(33,1),(36,1),(66,1),(72,1),(75,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(14,1),(34,1),(35,1),(79,1),(147,1),(150,1)}
        21:{2,3,6,7}:{(12,1),(34,1),(36,1),(75,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(35,1),(36,1)}
        23:{1,2,5,6,7}:{(13,1),(33,1),(37,1),(38,1),(127,1),(135,1),(150,1),(228,1),(283,1)}
        24:{2,3,5,6}:{(14,1),(34,1),(39,1),(40,1),(133,1)}
        25:{1,4,5,6}:{(14,1),(35,1),(40,1),(154,1),(228,1)}
        26:{1,3,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(49,1),(92,1),(102,1),(163,1),(166,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(45,1),(94,1)}
        28:{1,5,6,7}:{(16,1),(45,1),(242,1)}
        29:{3,4,5,6}:{(17,1),(47,1),(180,1),(298,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(49,1),(251,1)}
        31:{2,3,4,6,7}:{(18,1),(21,1),(44,1),(48,1),(50,1),(54,1),(91,1),(97,1),(105,1),(113,1),(165,1),(177,1),(251,1)}
        32:{1,4,6,7}:{(18,1),(19,1),(49,1),(51,1)}
        33:{2,5,6,7}:{(19,1),(51,1),(57,1),(94,1),(101,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(24,1),(54,1),(55,1),(102,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(25,1),(55,1),(185,1),(188,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(55,1),(57,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(51,1),(56,1),(57,1),(58,1),(59,1),(113,1),(260,1),(301,1),(302,1)}
        38:{1,3,5,6,7}:{(23,1),(52,1),(58,1),(59,1),(114,1),(164,1),(174,1),(242,1),(255,1)}
        39:{2,3,4,6}:{(24,1),(53,1),(54,1),(60,1),(119,1),(171,1),(190,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(55,1),(60,1),(61,1)}
        41:{1,2,4,5,6}:{(25,1),(56,1),(61,1),(62,1),(99,1),(115,1),(116,1),(119,1),(169,1),(189,1),(193,1),(247,1),(260,1),(261,1),(299,1),(301,1),(302,1)}
        42:{1,3,4,5,6}:{(26,1),(29,1),(63,1),(70,1),(122,1),(133,1),(198,1),(206,1)}
        43:{2,4,5,7}:{(26,1),(27,1),(63,1),(64,1),(65,1),(125,1),(202,1),(205,1)}
        44:{2,3,6,7}:{(27,1),(64,1),(66,1),(75,1)}
        45:{1,4,6,7}:{(27,1),(28,1),(65,1),(66,1)}
        46:{1,2,5,6,7}:{(28,1),(33,1),(67,1),(68,1),(81,1),(135,1),(205,1),(273,1),(283,1)}
        47:{2,4,5,6}:{(29,1),(30,1),(69,1),(70,1),(277,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(69,1),(72,1),(140,1),(150,1),(205,1)}
        49:{1,4,5,7}:{(30,1),(32,1),(70,1),(72,1),(73,1),(215,1)}
        50:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(66,1),(72,1),(74,1),(75,1),(78,1),(124,1),(131,1),(137,1),(138,1),(149,1),(204,1),(215,1)}
        51:{2,4,6,7}:{(32,1),(33,1),(73,1),(75,1)}
        52:{2,3,5,6,7}:{(33,1),(38,1),(68,1),(75,1),(76,1),(82,1),(128,1),(136,1),(140,1),(150,1),(205,1),(214,1),(220,1),(283,1),(311,1)}
        53:{2,3,4,5}:{(39,1),(77,1),(155,1),(211,1),(221,1)}
        54:{2,3,4,7}:{(34,1),(39,1),(78,1),(137,1),(147,1),(223,1)}
        55:{1,3,5,7}:{(34,1),(35,1),(36,1),(40,1),(78,1),(79,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(41,1),(73,1),(79,1),(80,1),(84,1),(135,1),(144,1),(147,1),(150,1),(215,1),(226,1),(281,1),(284,1)}
        57:{2,6,7}:{(36,1),(79,1)}
        58:{1,3,6,7}:{(37,1),(75,1),(80,1),(82,1),(285,1),(311,1)}
        59:{1,4,6,7}:{(38,1),(76,1),(84,1),(215,1),(282,1)}
        60:{1,3,4,6}:{(39,1),(40,1),(77,1),(78,1),(85,1),(152,1),(154,1)}
        61:{2,5,6}:{(40,1),(79,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(80,1),(87,1),(88,1),(133,1),(152,1),(230,1),(285,1),(310,1),(311,1)}
        63:{2,4,5,6}:{(42,1),(43,1),(89,1),(90,1),(158,1),(235,1),(243,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(89,1),(91,1),(92,1),(102,1)}
        65:{1,4,5,7}:{(43,1),(45,1),(90,1),(92,1),(239,1),(242,1)}
        66:{1,3,6,7}:{(44,1),(45,1),(92,1),(94,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(51,1),(93,1),(94,1),(95,1),(96,1),(165,1),(295,1),(301,1),(314,1)}
        68:{1,3,5,6,7}:{(46,1),(52,1),(95,1),(96,1),(112,1),(166,1),(174,1),(188,1),(255,1)}
        69:{2,3,5,6}:{(47,1),(48,1),(97,1),(98,1),(180,1),(189,1),(243,1)}
        70:{1,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(247,1)}
        71:{2,3,4,5,7}:{(48,1),(53,1),(54,1),(91,1),(97,1),(100,1),(156,1),(176,1),(186,1),(240,1),(249,1),(251,1),(299,1),(300,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(50,1),(98,1),(101,1),(102,1),(188,1),(242,1)}
        73:{2,4,5,7}:{(49,1),(51,1),(99,1),(101,1),(102,1),(175,1)}
        74:{2,4,6,7}:{(50,1),(57,1),(94,1),(101,1),(104,1),(108,1),(160,1),(168,1),(175,1)}
        75:{3,6,7}:{(51,1),(102,1)}
        76:{2,4,6,7}:{(52,1),(59,1),(96,1),(105,1),(106,1),(175,1),(251,1),(253,1),(301,1)}
        77:{1,3,4,5}:{(53,1),(60,1),(107,1),(181,1),(193,1)}
        78:{1,3,4,7}:{(54,1),(55,1),(60,1),(108,1),(183,1),(185,1)}
        79:{2,5,7}:{(55,1),(57,1),(61,1),(108,1)}
        80:{1,3,5,7}:{(56,1),(58,1),(62,1),(102,1),(110,1),(111,1),(183,1),(300,1)}
        81:{1,2,6,7}:{(57,1),(109,1),(112,1),(302,1)}
        82:{2,3,6,7}:{(57,1),(58,1),(110,1),(112,1),(113,1),(259,1),(302,1)}
        83:{1,3,4,6,7}:{(58,1),(59,1),(105,1),(111,1),(113,1),(114,1),(187,1)}
        84:{1,4,5,7}:{(59,1),(106,1),(114,1),(115,1),(242,1)}
        85:{2,4,6}:{(60,1),(61,1),(107,1),(108,1),(117,1)}
        86:{1,2,5,6}:{(61,1),(109,1),(116,1),(118,1),(261,1),(302,1)}
        87:{2,3,5,6}:{(61,1),(62,1),(110,1),(117,1),(118,1),(119,1),(189,1),(190,1),(192,1),(259,1),(261,1),(302,1)}
        88:{1,3,4,6}:{(62,1),(111,1),(119,1),(120,1),(171,1),(247,1),(298,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(121,1),(122,1),(133,1)}
        90:{1,4,5,6}:{(63,1),(65,1),(122,1),(266,1),(273,1)}
        91:{2,3,4,7}:{(64,1),(121,1),(124,1),(137,1),(202,1),(268,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(66,1),(122,1),(124,1),(125,1)}
        93:{1,2,4,5,7}:{(65,1),(67,1),(73,1),(123,1),(125,1),(126,1),(130,1),(135,1),(199,1),(202,1),(205,1),(215,1),(271,1),(281,1),(307,1)}
        94:{2,6,7}:{(66,1),(125,1)}
        95:{1,3,6,7}:{(67,1),(75,1),(126,1),(128,1),(308,1),(311,1)}
        96:{1,4,6,7}:{(68,1),(76,1),(130,1),(215,1),(282,1)}
        97:{2,3,4,6}:{(69,1),(71,1),(131,1),(217,1),(227,1),(272,1),(274,1),(277,1),(311,1)}
        98:{1,3,5,6}:{(69,1),(70,1),(72,1),(131,1),(132,1),(133,1),(228,1),(273,1)}
        99:{2,4,5,6}:{(70,1),(73,1),(132,1),(133,1),(210,1)}
       100:{1,3,4,5,7}:{(71,1),(72,1),(77,1),(78,1),(124,1),(131,1),(134,1),(137,1),(194,1),(211,1),(212,1),(215,1),(226,1),(271,1),(278,1)}
       101:{2,5,7}:{(72,1),(74,1),(132,1)}
       102:{3,5,7}:{(73,1),(75,1),(133,1),(137,1)}
       103:{1,2,4,6,7}:{(74,1),(81,1),(127,1),(135,1),(138,1),(144,1),(149,1),(199,1),(204,1),(207,1),(215,1),(218,1)}
       104:{2,3,6,7}:{(74,1),(75,1),(136,1),(138,1),(145,1),(200,1),(208,1)}
       105:{3,4,6,7}:{(75,1),(76,1),(137,1),(140,1),(217,1),(280,1),(311,1)}
       106:{2,4,5,7}:{(76,1),(84,1),(130,1),(140,1),(141,1),(150,1),(205,1)}
       107:{2,4,5}:{(77,1),(85,1),(143,1)}
       108:{2,4,7}:{(78,1),(79,1),(85,1),(145,1)}
       109:{1,2,5,7}:{(79,1),(81,1),(86,1),(144,1),(146,1),(284,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(82,1),(87,1),(145,1),(146,1),(147,1),(150,1),(223,1),(284,1)}
       111:{1,3,4,7}:{(80,1),(88,1),(137,1),(147,1),(215,1),(280,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(146,1),(149,1),(285,1)}
       113:{2,4,6,7}:{(82,1),(83,1),(147,1),(149,1),(150,1),(227,1)}
       114:{1,3,5,7}:{(83,1),(84,1),(140,1),(150,1),(151,1)}
       115:{1,4,5,6}:{(84,1),(141,1),(151,1),(273,1),(282,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(142,1),(144,1),(152,1),(154,1),(229,1)}
       117:{2,3,6}:{(85,1),(143,1),(145,1),(152,1)}
       118:{1,3,5,6}:{(86,1),(87,1),(146,1),(152,1),(154,1),(228,1),(230,1),(285,1)}
       119:{2,4,6}:{(87,1),(88,1),(147,1),(154,1),(155,1)}
       120:{1,3,4,5}:{(88,1),(155,1),(211,1),(230,1),(278,1),(310,1)}
       121:{2,3,4,6}:{(89,1),(91,1),(156,1),(157,1),(171,1),(235,1),(288,1)}
       122:{1,3,5,6}:{(89,1),(90,1),(92,1),(157,1),(158,1)}
       123:{1,2,4,5,6}:{(90,1),(93,1),(99,1),(158,1),(159,1),(167,1),(169,1),(232,1),(235,1),(243,1),(247,1),(291,1),(295,1),(299,1),(301,1),(313,1),(314,1)}
       124:{1,3,4,7}:{(91,1),(92,1),(157,1),(160,1),(237,1),(239,1)}
       125:{2,5,7}:{(92,1),(94,1),(158,1),(160,1)}
       126:{1,3,5,7}:{(93,1),(95,1),(102,1),(159,1),(162,1),(163,1),(237,1),(300,1)}
       127:{1,2,6,7}:{(94,1),(161,1),(164,1),(314,1)}
       128:{2,3,6,7}:{(94,1),(95,1),(162,1),(164,1),(165,1),(294,1),(314,1)}
       129:{1,3,4,6,7}:{(95,1),(96,1),(105,1),(163,1),(165,1),(166,1),(241,1)}
       130:{1,4,5,7}:{(96,1),(106,1),(166,1),(167,1),(188,1)}
       131:{1,3,4,6}:{(97,1),(98,1),(100,1),(168,1),(171,1),(244,1),(247,1),(260,1),(295,1)}
       132:{2,5,6}:{(98,1),(101,1),(168,1)}
       133:{3,5,6}:{(99,1),(102,1),(171,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(107,1),(108,1),(160,1),(168,1),(173,1),(175,1),(231,1),(248,1)}
       135:{1,2,5,7}:{(101,1),(103,1),(169,1),(174,1),(188,1),(242,1),(254,1)}
       136:{2,3,5,7}:{(101,1),(102,1),(104,1),(170,1),(174,1),(175,1)}
       137:{3,4,7}:{(102,1),(171,1),(175,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(174,1),(177,1),(183,1),(237,1),(244,1)}
       139:{2,3,4,6,7}:{(104,1),(105,1),(113,1),(165,1),(175,1),(178,1),(179,1),(184,1),(238,1),(245,1),(253,1),(259,1),(294,1)}
       140:{3,5,7}:{(105,1),(106,1),(180,1)}
       141:{2,4,5,6}:{(106,1),(115,1),(167,1),(180,1),(189,1),(243,1),(253,1),(301,1)}
       142:{1,2,4,5}:{(107,1),(116,1),(181,1),(193,1),(256,1),(261,1)}
       143:{2,3,5}:{(107,1),(117,1),(181,1),(182,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(116,1),(183,1),(185,1),(257,1)}
       145:{2,3,7}:{(108,1),(117,1),(183,1)}
       146:{1,3,5,7}:{(109,1),(110,1),(112,1),(118,1),(183,1),(185,1),(188,1)}
       147:{2,4,7}:{(110,1),(111,1),(119,1),(185,1)}
       148:{1,3,4,5,7}:{(111,1),(114,1),(120,1),(176,1),(186,1),(187,1),(252,1),(258,1),(300,1)}
       149:{1,4,6,7}:{(112,1),(113,1),(185,1),(188,1),(260,1)}
       150:{2,5,7}:{(113,1),(114,1),(188,1),(189,1)}
       151:{1,3,5,6}:{(114,1),(115,1),(180,1),(187,1),(189,1)}
       152:{1,3,6}:{(116,1),(117,1),(181,1),(183,1),(190,1)}
       153:{2,3,4,6}:{(117,1),(119,1),(182,1),(184,1),(191,1),(192,1),(259,1),(298,1)}
       154:{1,4,6}:{(118,1),(119,1),(185,1),(193,1)}
       155:{2,4,5}:{(119,1),(120,1),(192,1),(193,1),(261,1)}
       156:{2,3,4,5}:{(121,1),(194,1),(211,1),(267,1),(303,1)}
       157:{1,3,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(264,1),(266,1)}
       158:{2,5,6}:{(122,1),(125,1),(195,1)}
       159:{1,3,5,6}:{(123,1),(126,1),(133,1),(197,1),(198,1),(264,1),(306,1),(308,1),(310,1),(311,1)}
       160:{2,4,7}:{(124,1),(125,1),(195,1),(200,1)}
       161:{1,2,5,7}:{(125,1),(127,1),(196,1),(199,1),(201,1),(307,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(128,1),(197,1),(200,1),(201,1),(202,1),(205,1),(268,1),(307,1)}
       163:{1,3,4,7}:{(126,1),(137,1),(198,1),(202,1),(215,1),(280,1)}
       164:{1,3,6,7}:{(127,1),(128,1),(201,1),(204,1),(308,1)}
       165:{2,4,6,7}:{(128,1),(129,1),(202,1),(204,1),(205,1),(272,1)}
       166:{1,3,5,7}:{(129,1),(130,1),(140,1),(205,1),(206,1)}
       167:{1,4,5,6}:{(130,1),(141,1),(206,1),(228,1),(282,1)}
       168:{2,4,6}:{(131,1),(132,1),(134,1),(208,1)}
       169:{1,2,5,6}:{(132,1),(135,1),(207,1),(209,1),(228,1),(273,1),(283,1),(309,1)}
       170:{2,3,5,6}:{(132,1),(133,1),(136,1),(208,1),(209,1),(210,1),(276,1)}
       171:{3,4,6}:{(133,1),(137,1),(210,1),(211,1)}
       172:{1,2,4,5,7}:{(134,1),(135,1),(142,1),(144,1),(199,1),(207,1),(212,1),(215,1),(226,1),(262,1),(271,1),(278,1),(279,1),(281,1),(284,1),(307,1),(309,1)}
       173:{2,3,5,7}:{(134,1),(143,1),(145,1),(200,1),(208,1),(212,1),(213,1),(263,1),(276,1)}
       174:{1,3,5,7}:{(135,1),(136,1),(138,1),(209,1),(214,1),(215,1)}
       175:{2,4,7}:{(136,1),(137,1),(210,1),(215,1)}
       176:{3,4,5,7}:{(137,1),(140,1),(211,1),(216,1),(217,1)}
       177:{2,3,6,7}:{(138,1),(214,1),(218,1),(223,1),(268,1),(274,1),(311,1)}
       178:{1,3,4,6,7}:{(138,1),(139,1),(149,1),(204,1),(215,1),(218,1),(219,1),(224,1),(269,1),(275,1),(280,1),(282,1),(285,1),(308,1),(311,1)}
       179:{2,3,5,7}:{(139,1),(140,1),(150,1),(205,1),(216,1),(219,1),(220,1),(276,1)}
       180:{3,5,6}:{(140,1),(141,1),(217,1),(311,1)}
       181:{1,3,5}:{(142,1),(143,1),(152,1),(221,1),(222,1)}
       182:{2,3,4}:{(143,1),(222,1)}
       183:{1,3,7}:{(144,1),(145,1),(152,1),(223,1)}
       184:{2,3,4,7}:{(145,1),(147,1),(153,1),(224,1),(225,1),(280,1)}
       185:{1,4,7}:{(146,1),(147,1),(154,1)}
       186:{2,4,5,7}:{(147,1),(148,1),(150,1),(155,1),(225,1),(226,1),(227,1),(284,1)}
       187:{1,3,4,6}:{(148,1),(151,1),(217,1),(227,1),(282,1),(285,1),(311,1)}
       188:{1,5,7}:{(149,1),(150,1),(228,1)}
       189:{2,5,6}:{(150,1),(151,1),(227,1),(228,1)}
       190:{2,3,6}:{(152,1),(221,1),(223,1),(229,1)}
       191:{1,3,4,6}:{(152,1),(153,1),(154,1),(222,1),(224,1),(229,1),(230,1),(285,1)}
       192:{2,3,5}:{(153,1),(155,1),(230,1),(310,1)}
       193:{1,4,5}:{(154,1),(155,1),(230,1)}
       194:{1,3,4,5}:{(156,1),(157,1),(231,1),(286,1),(291,1)}
       195:{2,4,6}:{(157,1),(158,1),(160,1),(231,1),(233,1)}
       196:{1,2,5,6}:{(158,1),(161,1),(232,1),(234,1),(313,1),(314,1)}
       197:{2,3,5,6}:{(158,1),(159,1),(162,1),(233,1),(234,1),(235,1),(243,1),(288,1),(290,1),(294,1),(313,1),(314,1)}
       198:{1,3,4,6}:{(159,1),(163,1),(171,1),(235,1),(236,1),(247,1),(298,1)}
       199:{1,2,4,7}:{(160,1),(161,1),(232,1),(237,1),(239,1),(292,1)}
       200:{2,3,7}:{(160,1),(233,1),(237,1)}
       201:{1,3,5,7}:{(161,1),(162,1),(164,1),(234,1),(237,1),(239,1),(242,1)}
       202:{2,4,7}:{(162,1),(163,1),(235,1),(239,1)}
       203:{1,3,4,5,7}:{(163,1),(166,1),(176,1),(236,1),(240,1),(241,1),(252,1),(293,1),(300,1)}
       204:{1,4,6,7}:{(164,1),(165,1),(239,1),(242,1),(295,1)}
       205:{2,5,7}:{(165,1),(166,1),(242,1),(243,1)}
       206:{1,3,5,6}:{(166,1),(167,1),(180,1),(241,1),(243,1)}
       207:{1,2,4,6}:{(168,1),(169,1),(172,1),(244,1),(247,1),(260,1),(295,1),(296,1),(301,1),(302,1),(314,1)}
       208:{2,3,6}:{(168,1),(173,1),(244,1)}
       209:{1,3,5,6}:{(169,1),(170,1),(174,1),(244,1),(246,1),(247,1),(297,1)}
       210:{2,4,6}:{(170,1),(171,1),(175,1),(247,1),(248,1)}
       211:{3,4,5}:{(171,1),(248,1)}
       212:{1,3,5,7}:{(172,1),(173,1),(181,1),(183,1),(237,1),(244,1),(249,1),(250,1),(286,1),(297,1),(300,1)}
       213:{2,3,4,7}:{(173,1),(175,1),(182,1),(245,1),(250,1),(287,1)}
       214:{2,3,5,7}:{(174,1),(177,1),(246,1),(251,1),(254,1),(300,1)}
       215:{1,4,7}:{(174,1),(175,1),(247,1),(251,1)}
       216:{2,4,5,7}:{(175,1),(176,1),(179,1),(248,1),(252,1),(253,1)}
       217:{3,4,6}:{(176,1),(180,1),(253,1)}
       218:{2,4,6,7}:{(177,1),(178,1),(251,1),(254,1),(257,1),(292,1),(296,1),(301,1),(302,1),(314,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(188,1),(242,1),(252,1),(254,1),(255,1),(297,1),(300,1)}
       220:{2,3,5,6}:{(179,1),(180,1),(189,1),(243,1),(253,1),(255,1),(259,1),(294,1)}
       221:{2,3,5}:{(181,1),(190,1),(256,1),(261,1)}
       222:{1,3,4}:{(181,1),(182,1),(256,1)}
       223:{2,3,7}:{(183,1),(190,1),(257,1)}
       224:{1,3,4,7}:{(183,1),(184,1),(185,1),(191,1),(257,1),(258,1)}
       225:{2,3,5,7}:{(184,1),(186,1),(192,1),(258,1),(259,1),(300,1)}
       226:{1,4,5,7}:{(185,1),(186,1),(188,1),(193,1),(258,1),(260,1)}
       227:{2,4,6}:{(186,1),(187,1),(189,1),(259,1),(260,1),(302,1)}
       228:{1,5,6}:{(188,1),(189,1),(260,1)}
       229:{2,4,6}:{(190,1),(191,1),(256,1),(257,1),(261,1),(302,1)}
       230:{1,3,5}:{(191,1),(192,1),(193,1),(261,1)}
       231:{2,4,5}:{(194,1),(195,1),(263,1)}
       232:{1,2,4,6}:{(195,1),(196,1),(199,1),(262,1),(264,1),(266,1),(305,1)}
       233:{2,3,6}:{(195,1),(200,1),(263,1),(264,1)}
       234:{1,3,5,6}:{(196,1),(197,1),(201,1),(264,1),(266,1),(273,1),(306,1),(308,1)}
       235:{2,4,6}:{(197,1),(198,1),(202,1),(266,1),(267,1)}
       236:{1,3,4,5}:{(198,1),(211,1),(267,1),(278,1),(306,1),(310,1)}
       237:{1,3,7}:{(199,1),(200,1),(264,1),(268,1)}
       238:{2,3,4,7}:{(200,1),(202,1),(265,1),(269,1),(270,1),(280,1)}
       239:{1,4,7}:{(201,1),(202,1),(266,1)}
       240:{2,4,5,7}:{(202,1),(203,1),(205,1),(267,1),(270,1),(271,1),(272,1),(307,1)}
       241:{1,3,4,6}:{(203,1),(206,1),(217,1),(272,1),(282,1),(308,1),(311,1)}
       242:{1,5,7}:{(204,1),(205,1),(273,1)}
       243:{2,5,6}:{(205,1),(206,1),(272,1),(273,1)}
       244:{1,3,6}:{(207,1),(208,1),(212,1),(274,1),(311,1)}
       245:{2,3,4,6}:{(208,1),(210,1),(213,1),(275,1),(276,1)}
       246:{2,3,5,6}:{(209,1),(214,1),(274,1),(277,1),(283,1),(309,1),(310,1),(311,1)}
       247:{1,4,6}:{(209,1),(210,1),(215,1),(277,1),(278,1)}
       248:{2,4,5}:{(210,1),(211,1),(276,1),(278,1)}
       249:{2,3,5,7}:{(212,1),(221,1),(223,1),(268,1),(274,1),(279,1),(284,1),(303,1),(307,1),(309,1)}
       250:{1,3,4,7}:{(212,1),(213,1),(215,1),(222,1),(275,1),(279,1),(280,1),(304,1)}
       251:{2,4,7}:{(214,1),(215,1),(277,1),(280,1)}
       252:{1,4,5,7}:{(215,1),(216,1),(219,1),(278,1),(281,1),(282,1)}
       253:{2,4,6}:{(216,1),(217,1),(220,1),(282,1)}
       254:{2,5,7}:{(218,1),(219,1),(283,1),(309,1)}
       255:{1,3,5,6}:{(219,1),(220,1),(228,1),(273,1),(282,1),(283,1),(285,1),(308,1),(311,1)}
       256:{2,4}:{(221,1),(222,1)}
       257:{2,4,7}:{(223,1),(224,1),(229,1),(284,1)}
       258:{1,3,5,7}:{(224,1),(225,1),(226,1),(230,1),(284,1),(285,1)}
       259:{2,3,6}:{(225,1),(227,1),(285,1),(311,1)}
       260:{1,4,6}:{(226,1),(227,1),(228,1),(285,1)}
       261:{2,5}:{(229,1),(230,1)}
       262:{1,2,4,5}:{(231,1),(232,1),(286,1),(291,1),(312,1),(313,1)}
       263:{2,3,5}:{(231,1),(233,1),(286,1),(287,1)}
       264:{1,3,6}:{(232,1),(233,1),(237,1),(286,1),(288,1)}
       265:{2,3,4,6}:{(233,1),(235,1),(238,1),(287,1),(289,1),(290,1),(294,1),(298,1)}
       266:{1,4,6}:{(234,1),(235,1),(239,1),(291,1)}
       267:{2,4,5}:{(235,1),(236,1),(290,1),(291,1),(313,1)}
       268:{2,3,7}:{(237,1),(288,1),(292,1)}
       269:{1,3,4,7}:{(237,1),(238,1),(239,1),(289,1),(292,1),(293,1)}
       270:{2,3,5,7}:{(238,1),(240,1),(290,1),(293,1),(294,1),(300,1)}
       271:{1,4,5,7}:{(239,1),(240,1),(242,1),(291,1),(293,1),(295,1)}
       272:{2,4,6}:{(240,1),(241,1),(243,1),(294,1),(295,1),(314,1)}
       273:{1,5,6}:{(242,1),(243,1),(295,1)}
       274:{2,3,6}:{(244,1),(249,1),(296,1),(302,1),(314,1)}
       275:{1,3,4,6}:{(244,1),(245,1),(247,1),(250,1),(296,1),(297,1),(298,1)}
       276:{2,3,5}:{(245,1),(248,1),(297,1)}
       277:{2,4,6}:{(246,1),(247,1),(251,1),(298,1),(299,1)}
       278:{1,4,5}:{(247,1),(248,1),(297,1),(299,1)}
       279:{2,4,7}:{(249,1),(250,1),(256,1),(296,1),(312,1)}
       280:{3,4,7}:{(251,1),(298,1),(300,1)}
       281:{2,4,5,7}:{(251,1),(252,1),(254,1),(299,1),(300,1),(301,1)}
       282:{1,4,6}:{(252,1),(253,1),(255,1),(301,1)}
       283:{2,5,6}:{(254,1),(255,1),(301,1),(302,1),(314,1)}
       284:{2,5,7}:{(257,1),(258,1),(261,1),(302,1)}
       285:{1,3,6}:{(258,1),(259,1),(260,1),(302,1)}
       286:{1,3,5}:{(262,1),(263,1),(264,1),(303,1),(304,1)}
       287:{2,3,4}:{(263,1),(304,1)}
       288:{2,3,6}:{(264,1),(268,1),(303,1),(305,1)}
       289:{1,3,4,6}:{(264,1),(265,1),(266,1),(269,1),(304,1),(305,1),(306,1),(308,1)}
       290:{2,3,5}:{(265,1),(267,1),(306,1),(310,1)}
       291:{1,4,5}:{(266,1),(267,1),(306,1)}
       292:{2,4,7}:{(268,1),(269,1),(305,1),(307,1)}
       293:{1,3,5,7}:{(269,1),(270,1),(271,1),(306,1),(307,1),(308,1)}
       294:{2,3,6}:{(270,1),(272,1),(308,1),(311,1)}
       295:{1,4,6}:{(271,1),(272,1),(273,1),(308,1)}
       296:{2,4,6}:{(274,1),(275,1),(279,1),(309,1)}
       297:{1,3,5}:{(275,1),(276,1),(278,1),(309,1),(310,1)}
       298:{3,4,6}:{(277,1),(280,1),(310,1),(311,1)}
       299:{2,4,5}:{(277,1),(278,1),(309,1),(310,1)}
       300:{3,5,7}:{(280,1),(281,1),(310,1),(311,1)}
       301:{2,4,6}:{(281,1),(282,1),(283,1),(311,1)}
       302:{2,6}:{(284,1),(285,1)}
       303:{2,3,5}:{(286,1),(288,1),(312,1),(313,1)}
       304:{1,3,4}:{(286,1),(287,1),(312,1)}
       305:{2,4,6}:{(288,1),(289,1),(292,1),(312,1),(313,1),(314,1)}
       306:{1,3,5}:{(289,1),(290,1),(291,1),(313,1)}
       307:{2,5,7}:{(292,1),(293,1),(313,1),(314,1)}
       308:{1,3,6}:{(293,1),(294,1),(295,1),(314,1)}
       309:{2,5}:{(296,1),(297,1)}
       310:{3,5}:{(298,1),(299,1)}
       311:{3,6}:{(300,1),(301,1)}
       312:{2,4}:{(303,1),(304,1)}
       313:{2,5}:{(305,1),(306,1)}
       314:{2,6}:{(307,1),(308,1)}

1072 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(36,1),(38,1),(43,1),(44,1),(73,1),(75,1),(86,1),(140,1),(150,1),(209,1),(213,1),(224,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(24,1),(104,1),(121,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(23,1),(28,1),(63,1),(109,1),(119,1),(183,1),(253,1)}
         3:{1,2,4,6,7}:{(2,1),(8,1),(9,1),(32,1),(36,1),(90,1),(141,1),(213,1)}
         4:{1,3,4,7}:{(1,1),(11,1),(12,1),(36,1),(89,1),(209,1),(219,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(43,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(155,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(9,1),(15,1),(43,1),(83,1),(95,1),(140,1),(146,1),(233,1)}
         8:{1,3,6,7}:{(3,1),(6,1),(18,1),(19,1),(244,1),(253,1)}
         9:{1,2,5,7}:{(3,1),(7,1),(19,1),(55,1),(125,1),(178,1),(254,1)}
        10:{1,3,4,5,7}:{(4,1),(20,1),(21,1),(24,1),(48,1),(56,1),(61,1),(114,1),(115,1),(121,1),(127,1),(179,1),(180,1),(186,1),(197,1),(244,1),(256,1),(290,1)}
        11:{2,4,7}:{(4,1),(5,1),(22,1),(23,1),(185,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(23,1),(24,1),(28,1),(72,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(66,1),(68,1),(132,1)}
        14:{2,3,6}:{(5,1),(6,1),(23,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(19,1),(24,1),(27,1),(28,1),(175,1),(202,1),(203,1),(253,1)}
        16:{2,3,4,7}:{(11,1),(29,1),(30,1),(31,1),(78,1),(89,1),(143,1),(144,1),(158,1),(219,1),(270,1),(271,1),(297,1)}
        17:{1,3,4,6,7}:{(8,1),(12,1),(32,1),(33,1),(36,1),(84,1),(89,1),(155,1)}
        18:{2,3,6,7}:{(8,1),(14,1),(32,1),(34,1),(35,1),(141,1),(155,1),(223,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(15,1),(35,1),(36,1),(224,1),(225,1)}
        20:{2,4,5,7}:{(10,1),(11,1),(29,1),(38,1),(39,1),(43,1),(75,1),(81,1),(91,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        21:{1,3,4,6}:{(10,1),(39,1),(40,1),(76,1),(84,1),(147,1),(148,1),(155,1),(217,1),(278,1),(303,1)}
        22:{1,4,7}:{(11,1),(13,1),(42,1),(166,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(42,1),(43,1)}
        24:{1,3,5}:{(12,1),(43,1),(44,1),(100,1)}
        25:{1,2,5,7}:{(13,1),(41,1),(45,1),(75,1),(98,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(42,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(35,1),(43,1),(46,1),(47,1),(83,1),(100,1),(146,1),(149,1),(155,1),(168,1),(169,1),(217,1),(223,1)}
        28:{1,4,6}:{(15,1),(36,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(20,1),(48,1),(49,1),(52,1),(121,1),(186,1),(191,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(22,1),(48,1),(50,1),(51,1),(66,1),(104,1),(172,1),(179,1),(193,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(23,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(23,1),(54,1),(55,1),(59,1),(119,1)}
        33:{1,3,5,7}:{(17,1),(24,1),(53,1),(55,1),(56,1),(121,1)}
        34:{1,3,6,7}:{(18,1),(26,1),(54,1),(57,1),(58,1),(190,1)}
        35:{2,3,5,7}:{(18,1),(19,1),(27,1),(55,1),(58,1),(59,1),(121,1),(178,1),(191,1),(192,1),(244,1)}
        36:{1,4,7}:{(19,1),(28,1),(59,1)}
        37:{1,3,4,6,7}:{(21,1),(60,1),(61,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        38:{1,4,5,7}:{(20,1),(22,1),(48,1),(63,1),(68,1),(114,1),(125,1),(172,1),(179,1),(237,1)}
        39:{2,4,6}:{(20,1),(21,1),(49,1),(63,1),(64,1),(109,1)}
        40:{1,3,5,6}:{(21,1),(24,1),(61,1),(64,1),(65,1),(131,1),(197,1)}
        41:{1,2,4,7}:{(22,1),(25,1),(50,1),(66,1),(67,1),(308,1),(309,1)}
        42:{1,4,6}:{(22,1),(23,1),(26,1),(68,1)}
        43:{2,5}:{(23,1),(24,1),(68,1)}
        44:{1,4,5}:{(24,1),(28,1),(69,1),(202,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(58,1),(68,1),(70,1),(71,1),(118,1),(132,1),(134,1),(135,1),(190,1)}
        47:{2,4,6}:{(27,1),(28,1),(59,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(38,1),(75,1),(76,1),(80,1),(224,1),(313,1)}
        49:{2,3,6}:{(29,1),(39,1),(76,1),(155,1),(217,1),(223,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(42,1),(76,1),(79,1),(80,1),(97,1),(139,1),(147,1),(166,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(43,1),(80,1),(81,1),(100,1),(168,1),(215,1),(273,1),(299,1)}
        53:{1,3,5,6}:{(33,1),(83,1),(84,1),(155,1)}
        54:{1,4,6,7}:{(32,1),(34,1),(42,1),(85,1),(88,1),(154,1)}
        55:{2,5,7}:{(32,1),(33,1),(43,1),(83,1),(85,1)}
        56:{1,4,5,7}:{(33,1),(36,1),(44,1),(84,1),(86,1),(224,1)}
        57:{1,2,6,7}:{(34,1),(45,1),(87,1),(141,1),(223,1),(277,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(46,1),(85,1),(87,1),(88,1),(157,1)}
        59:{2,4,7}:{(35,1),(36,1),(47,1),(88,1),(89,1)}
        60:{2,4,6,7}:{(37,1),(39,1),(74,1),(90,1),(91,1),(141,1),(143,1),(213,1)}
        61:{1,3,5,7}:{(37,1),(40,1),(91,1),(92,1),(162,1)}
        62:{1,2,4,5,7}:{(38,1),(41,1),(75,1),(93,1),(94,1),(98,1),(144,1),(150,1),(160,1),(166,1),(213,1),(215,1),(227,1),(229,1),(269,1),(313,1)}
        63:{1,4,6}:{(38,1),(39,1),(76,1),(95,1)}
        64:{2,5,6}:{(39,1),(40,1),(43,1),(91,1),(95,1),(215,1)}
        65:{1,4,5,6}:{(40,1),(44,1),(84,1),(92,1),(96,1),(147,1),(229,1),(230,1),(278,1)}
        66:{1,3,7}:{(41,1),(78,1),(97,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(45,1),(79,1),(97,1),(98,1),(166,1),(300,1),(301,1),(302,1)}
        68:{1,5}:{(42,1),(43,1)}
        69:{2,4,5}:{(43,1),(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(87,1),(98,1),(101,1),(146,1),(168,1),(223,1),(230,1)}
        71:{1,4,6}:{(46,1),(47,1),(88,1),(99,1),(166,1)}
        72:{3,4,6}:{(47,1),(89,1),(100,1),(155,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(193,1),(254,1)}
        74:{2,3,6,7}:{(49,1),(60,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(63,1),(109,1),(253,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(64,1),(107,1),(110,1),(111,1),(131,1),(199,1),(248,1)}
        78:{2,3,7}:{(50,1),(66,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(68,1),(113,1),(114,1),(186,1),(202,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(53,1),(61,1),(116,1),(117,1),(189,1),(255,1)}
        83:{2,5,6}:{(53,1),(55,1),(118,1),(119,1)}
        84:{1,4,6}:{(53,1),(56,1),(119,1),(253,1)}
        85:{1,5,7}:{(54,1),(55,1),(68,1),(118,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(59,1),(69,1),(119,1),(120,1),(121,1),(191,1)}
        87:{1,2,5,7}:{(57,1),(58,1),(70,1),(122,1),(178,1),(191,1),(257,1)}
        88:{1,4,7}:{(58,1),(59,1),(71,1)}
        89:{3,4,7}:{(59,1),(72,1),(121,1),(244,1)}
        90:{1,4,6,7}:{(60,1),(63,1),(106,1),(125,1),(179,1)}
        91:{2,5,7}:{(60,1),(61,1),(64,1),(125,1)}
        92:{1,4,5,7}:{(61,1),(65,1),(117,1),(126,1),(179,1),(257,1)}
        93:{1,3,5,7}:{(62,1),(66,1),(108,1),(127,1),(128,1),(132,1),(186,1),(197,1),(244,1),(290,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(109,1),(128,1),(129,1),(181,1),(183,1),(198,1),(289,1),(314,1)}
        95:{1,5,6}:{(63,1),(64,1),(68,1),(125,1),(237,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(69,1),(111,1),(119,1),(126,1),(130,1),(131,1),(183,1),(199,1),(246,1),(289,1)}
        97:{1,3,6}:{(66,1),(67,1),(112,1),(132,1),(311,1)}
        98:{1,2,5}:{(67,1),(68,1),(113,1),(132,1),(310,1)}
        99:{1,4,5}:{(68,1),(69,1),(71,1),(134,1)}
       100:{3,5}:{(69,1),(72,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(122,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(123,1),(134,1),(135,1),(136,1),(190,1),(200,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(224,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(90,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(91,1),(142,1),(143,1),(162,1),(228,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(93,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(95,1),(142,1),(146,1),(147,1),(217,1),(230,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(97,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(166,1),(209,1)}
       115:{3,4,5}:{(81,1),(100,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(83,1),(91,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(84,1),(92,1),(153,1),(277,1),(278,1)}
       118:{1,5,6}:{(83,1),(85,1),(154,1)}
       119:{2,4,6}:{(83,1),(84,1),(86,1),(154,1),(155,1),(223,1)}
       120:{1,4,5,7}:{(85,1),(86,1),(88,1),(99,1),(154,1),(156,1)}
       121:{3,5,7}:{(86,1),(89,1),(100,1),(155,1)}
       122:{1,2,4,7}:{(87,1),(88,1),(101,1),(157,1),(158,1),(213,1),(272,1),(304,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(102,1),(156,1),(157,1),(158,1)}
       124:{1,2,4,6,7}:{(90,1),(94,1),(141,1),(159,1),(160,1),(211,1),(213,1),(227,1)}
       125:{1,5,7}:{(90,1),(91,1),(95,1)}
       126:{2,4,5,7}:{(91,1),(92,1),(96,1),(143,1),(153,1),(161,1),(162,1),(213,1),(228,1)}
       127:{1,3,4,7}:{(93,1),(144,1),(163,1),(166,1),(219,1),(227,1),(270,1)}
       128:{1,3,6}:{(93,1),(94,1),(145,1),(217,1),(303,1)}
       129:{1,2,5,6}:{(94,1),(95,1),(98,1),(146,1),(160,1),(164,1),(215,1),(268,1),(301,1)}
       130:{1,4,5,6}:{(95,1),(96,1),(99,1),(147,1),(154,1),(161,1),(165,1),(263,1),(295,1)}
       131:{3,5,6}:{(96,1),(100,1),(148,1),(155,1),(162,1),(217,1),(273,1),(303,1)}
       132:{1,3,5}:{(97,1),(98,1),(149,1),(166,1)}
       133:{1,2,4,5}:{(98,1),(99,1),(101,1),(150,1),(166,1),(167,1),(168,1),(221,1),(231,1),(276,1),(302,1)}
       134:{1,3,5}:{(99,1),(100,1),(102,1),(168,1)}
       135:{1,3,6}:{(101,1),(157,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(158,1),(168,1),(169,1),(170,1),(223,1),(231,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(253,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(202,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(125,1),(178,1),(179,1),(244,1),(257,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(127,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(128,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(131,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(132,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(134,1),(184,1),(186,1),(187,1),(200,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(118,1),(125,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(119,1),(126,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,4,6}:{(118,1),(119,1),(120,1),(190,1)}
       155:{3,6}:{(119,1),(121,1)}
       156:{1,3,5,7}:{(120,1),(121,1),(123,1),(134,1),(190,1),(191,1)}
       157:{1,3,7}:{(122,1),(135,1),(192,1),(244,1)}
       158:{2,4,7}:{(123,1),(136,1),(191,1),(192,1),(193,1)}
       159:{1,3,6,7}:{(124,1),(128,1),(177,1),(195,1),(244,1),(314,1)}
       160:{1,2,5,7}:{(124,1),(125,1),(129,1),(178,1),(195,1),(242,1),(309,1)}
       161:{1,4,5,7}:{(125,1),(126,1),(130,1),(179,1),(188,1),(196,1)}
       162:{3,5,7}:{(126,1),(131,1),(180,1),(189,1),(244,1)}
       163:{1,3,4,6}:{(127,1),(128,1),(181,1),(197,1),(198,1),(247,1)}
       164:{1,3,5,6}:{(128,1),(129,1),(132,1),(182,1),(195,1),(197,1),(198,1),(286,1),(310,1),(314,1)}
       165:{1,3,5,6}:{(130,1),(131,1),(134,1),(184,1),(190,1),(196,1),(199,1),(284,1),(306,1)}
       166:{1,4}:{(132,1),(185,1)}
       167:{1,3,5}:{(133,1),(135,1),(186,1),(200,1),(201,1),(311,1)}
       168:{2,5}:{(134,1),(136,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(192,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(193,1),(202,1),(203,1),(253,1),(258,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(230,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(159,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(162,1)}
       181:{2,4,6}:{(144,1),(145,1),(163,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(164,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(165,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(166,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(168,1),(218,1),(220,1),(221,1),(231,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(154,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(155,1),(162,1),(303,1)}
       190:{1,3,6}:{(154,1),(155,1),(156,1),(223,1)}
       191:{2,5,7}:{(156,1),(158,1),(168,1),(223,1),(224,1)}
       192:{2,3,7}:{(157,1),(158,1),(169,1),(225,1),(304,1)}
       193:{1,4,7}:{(158,1),(170,1),(224,1),(225,1)}
       194:{1,3,4,6,7}:{(159,1),(163,1),(211,1),(226,1),(227,1),(270,1),(278,1),(303,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(164,1),(212,1),(227,1),(298,1),(313,1)}
       196:{1,3,5,7}:{(161,1),(162,1),(165,1),(214,1),(222,1),(228,1)}
       197:{1,3,5}:{(163,1),(215,1),(229,1),(273,1)}
       198:{1,4,6}:{(164,1),(166,1),(216,1),(227,1),(229,1)}
       199:{2,5,6}:{(165,1),(168,1),(218,1),(223,1),(228,1),(230,1),(299,1),(312,1)}
       200:{1,3,4}:{(166,1),(167,1),(219,1),(231,1)}
       201:{2,3,5}:{(167,1),(168,1),(169,1),(231,1),(232,1),(276,1),(305,1)}
       202:{1,5}:{(168,1),(170,1)}
       203:{1,3,6}:{(169,1),(170,1),(225,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(257,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(194,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(195,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(196,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(197,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(198,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(199,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(202,1),(249,1),(251,1),(258,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(190,1),(196,1),(252,1),(306,1)}
       223:{2,6}:{(190,1),(191,1),(253,1)}
       224:{1,5,7}:{(191,1),(193,1),(202,1),(253,1)}
       225:{1,3,7}:{(192,1),(193,1),(203,1),(254,1)}
       226:{1,3,5,7}:{(194,1),(197,1),(242,1),(255,1),(256,1),(290,1)}
       227:{1,4,7}:{(195,1),(198,1),(243,1)}
       228:{2,5,7}:{(196,1),(199,1),(245,1),(252,1),(257,1)}
       229:{1,4,5}:{(197,1),(198,1),(246,1),(310,1)}
       230:{1,5,6}:{(199,1),(202,1),(249,1),(253,1),(257,1),(310,1),(314,1)}
       231:{2,4}:{(200,1),(201,1),(258,1)}
       232:{1,3,5}:{(201,1),(202,1),(203,1),(258,1),(259,1),(294,1)}
       233:{1,2,6}:{(203,1),(254,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(226,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(227,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(228,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(229,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(230,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(231,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(223,1),(228,1),(277,1),(312,1)}
       253:{1,6}:{(223,1),(224,1)}
       254:{1,2,7}:{(225,1),(233,1),(304,1)}
       255:{1,3,5,6}:{(226,1),(268,1),(278,1),(303,1)}
       256:{1,4,5,7}:{(226,1),(227,1),(229,1),(269,1),(278,1),(313,1)}
       257:{1,5,7}:{(228,1),(230,1),(272,1),(277,1)}
       258:{1,4}:{(231,1),(232,1)}
       259:{1,2,5}:{(232,1),(233,1),(276,1),(279,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(255,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(256,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(257,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(258,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(253,1),(257,1),(314,1)}
       278:{1,4,6}:{(255,1),(256,1),(289,1),(314,1)}
       279:{1,2,4}:{(258,1),(259,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1073 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1074 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1075 :   0:{1,2,5,6,7}:{(2,1),(3,1),(38,1),(44,1),(76,1),(79,1),(88,1),(113,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(38,1),(46,1),(113,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(23,1),(28,1),(57,1),(66,1),(92,1),(101,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(24,1),(97,1),(108,1),(131,1),(135,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(38,1),(71,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(11,1),(12,1),(87,1),(112,1),(121,1)}
         7:{1,2,4,5,7}:{(3,1),(12,1),(14,1),(15,1),(38,1),(42,1),(78,1),(79,1),(89,1),(114,1),(119,1),(121,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(116,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(12,1),(17,1),(18,1),(38,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(150,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,4,5,7}:{(6,1),(9,1),(20,1),(22,1),(23,1),(57,1)}
        13:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(21,1),(23,1),(24,1),(26,1),(54,1)}
        14:{1,2,4,5,6}:{(7,1),(22,1),(25,1),(55,1),(60,1),(97,1),(98,1),(103,1),(108,1),(131,1),(135,1),(137,1),(141,1),(143,1),(147,1),(163,1),(174,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(110,1),(133,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(96,1),(135,1)}
        17:{2,4,5,6}:{(9,1),(22,1),(29,1),(55,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(24,1),(31,1),(32,1),(62,1),(65,1),(95,1),(96,1),(134,1),(162,1),(165,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(33,1),(34,1),(38,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(130,1)}
        22:{1,4,5,6}:{(12,1),(17,1),(33,1),(36,1),(76,1),(87,1),(112,1),(154,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(18,1),(34,1),(36,1),(38,1)}
        24:{2,4,6,7}:{(13,1),(16,1),(38,1),(39,1),(42,1),(75,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(40,1),(41,1),(116,1),(122,1),(128,1),(148,1),(160,1),(161,1),(170,1)}
        26:{1,3,4,7}:{(15,1),(40,1),(42,1),(121,1),(130,1),(150,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(43,1),(119,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(39,1),(43,1),(44,1),(116,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(150,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(38,1),(46,1),(47,1),(48,1),(170,1),(172,1)}
        32:{1,3,4,6,7}:{(19,1),(39,1),(48,1),(49,1),(80,1),(85,1),(87,1),(116,1),(121,1),(128,1),(130,1),(153,1),(171,1)}
        33:{2,4,5,6}:{(20,1),(22,1),(50,1),(55,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(50,1)}
        35:{2,3,4,6,7}:{(21,1),(24,1),(52,1),(53,1),(62,1),(69,1),(91,1),(96,1),(111,1),(146,1),(165,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(29,1),(50,1),(54,1),(55,1),(166,1)}
        37:{1,3,4,5,7}:{(23,1),(26,1),(30,1),(51,1),(54,1),(56,1),(59,1),(67,1),(93,1),(99,1),(110,1),(133,1),(140,1),(166,1)}
        38:{2,5,7}:{(23,1),(24,1),(55,1),(57,1)}
        39:{1,4,6,7}:{(24,1),(28,1),(57,1),(63,1),(97,1)}
        40:{1,3,4,6}:{(25,1),(26,1),(59,1),(60,1),(137,1),(146,1),(162,1)}
        41:{2,3,5,6}:{(25,1),(27,1),(55,1),(60,1),(61,1),(96,1),(102,1),(135,1),(141,1),(144,1)}
        42:{2,4,7}:{(26,1),(27,1),(60,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(57,1),(61,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(135,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(55,1),(65,1),(66,1),(96,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(134,1),(163,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(57,1),(66,1),(67,1),(68,1),(110,1),(166,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(135,1),(165,1)}
        50:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        51:{3,4,5,7}:{(34,1),(70,1),(72,1),(130,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(38,1),(71,1),(72,1),(73,1),(161,1),(172,1)}
        53:{1,3,4,6,7}:{(35,1),(39,1),(73,1),(74,1),(80,1),(85,1),(112,1),(116,1),(121,1),(148,1),(150,1),(153,1),(171,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(45,1),(70,1),(75,1),(87,1),(112,1),(116,1),(128,1),(148,1)}
        55:{2,5,6}:{(36,1),(38,1),(75,1),(76,1),(172,1)}
        56:{2,4,5,7}:{(37,1),(38,1),(42,1),(75,1),(77,1),(78,1),(81,1),(119,1),(156,1),(172,1)}
        57:{1,5,7}:{(38,1),(39,1),(76,1)}
        58:{1,2,4,6,7}:{(39,1),(44,1),(49,1),(74,1),(79,1),(80,1),(86,1),(117,1),(121,1),(126,1),(151,1),(171,1)}
        59:{1,3,4,5}:{(40,1),(81,1),(122,1),(154,1),(159,1),(161,1),(170,1)}
        60:{2,4,6}:{(40,1),(41,1),(42,1),(81,1),(83,1)}
        61:{1,3,5,6}:{(41,1),(43,1),(76,1),(83,1),(84,1),(116,1),(122,1),(125,1)}
        62:{2,3,4,7}:{(42,1),(77,1),(82,1),(85,1),(127,1),(130,1),(150,1),(156,1)}
        63:{1,4,7}:{(42,1),(43,1),(83,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(86,1),(119,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(76,1),(87,1),(88,1),(116,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(121,1),(154,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(172,1)}
        69:{2,3,6,7}:{(49,1),(80,1),(90,1),(127,1),(128,1),(152,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(91,1),(92,1),(96,1)}
        72:{2,4,5,7}:{(51,1),(52,1),(91,1),(93,1),(111,1),(147,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(57,1),(92,1),(93,1),(94,1),(133,1),(166,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(106,1),(131,1),(134,1),(135,1),(165,1)}
        75:{2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1),(135,1)}
        76:{1,5,6}:{(55,1),(57,1),(97,1),(174,1)}
        77:{2,3,5,7}:{(56,1),(62,1),(96,1),(99,1),(102,1),(110,1),(133,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(63,1),(97,1),(99,1),(103,1),(167,1),(174,1)}
        79:{1,2,5,7}:{(57,1),(58,1),(68,1),(94,1),(98,1),(101,1),(174,1)}
        80:{1,3,6,7}:{(58,1),(69,1),(95,1),(101,1),(107,1),(136,1),(145,1),(164,1)}
        81:{2,4,5}:{(59,1),(60,1),(102,1),(103,1),(141,1),(169,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(96,1),(102,1),(104,1),(144,1),(146,1),(162,1),(165,1),(169,1)}
        83:{1,4,6}:{(60,1),(61,1),(63,1),(103,1)}
        84:{1,2,5,6}:{(61,1),(64,1),(105,1),(135,1),(141,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(99,1),(104,1),(106,1),(107,1),(145,1),(167,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(135,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(101,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,3,5,6}:{(71,1),(73,1),(76,1),(112,1),(113,1),(116,1),(148,1)}
        93:{1,4,5,7}:{(72,1),(73,1),(112,1),(114,1),(121,1),(154,1)}
        94:{2,5,7}:{(73,1),(74,1),(113,1),(172,1)}
        95:{2,3,6,7}:{(74,1),(80,1),(115,1),(127,1),(148,1),(152,1)}
        96:{2,3,6}:{(75,1),(77,1),(116,1),(128,1),(148,1)}
        97:{1,4,6}:{(75,1),(76,1),(78,1),(116,1)}
        98:{1,2,5,6}:{(76,1),(79,1),(88,1),(113,1),(117,1),(118,1),(151,1),(172,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(85,1),(116,1),(119,1),(122,1)}
       100:{1,2,4,5,7}:{(78,1),(79,1),(86,1),(89,1),(114,1),(117,1),(119,1),(120,1),(121,1),(123,1),(154,1),(156,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(90,1),(115,1),(118,1),(121,1)}
       102:{2,3,5}:{(81,1),(82,1),(122,1),(161,1),(170,1),(172,1)}
       103:{1,4,5}:{(81,1),(83,1),(122,1),(173,1)}
       104:{1,3,4,6}:{(82,1),(83,1),(85,1),(116,1),(122,1),(124,1),(125,1),(159,1),(160,1),(171,1),(173,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(86,1),(123,1),(124,1),(125,1)}
       106:{2,4,7}:{(85,1),(119,1),(124,1),(127,1)}
       107:{1,3,7}:{(86,1),(125,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(118,1),(128,1),(129,1),(152,1),(161,1),(172,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(121,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,5,6}:{(92,1),(94,1),(131,1),(135,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(131,1),(133,1),(134,1),(163,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(101,1),(132,1),(133,1),(134,1)}
       116:{1,3,6}:{(96,1),(97,1),(99,1),(135,1)}
       117:{1,2,4,6}:{(97,1),(98,1),(100,1),(108,1),(131,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,3,5,6}:{(98,1),(101,1),(109,1),(132,1),(136,1),(137,1),(164,1),(166,1),(174,1)}
       119:{2,5,7}:{(99,1),(106,1),(135,1),(141,1)}
       120:{1,3,5,7}:{(100,1),(107,1),(110,1),(133,1),(136,1),(139,1),(140,1),(142,1),(166,1)}
       121:{1,4,7}:{(101,1),(111,1),(134,1),(137,1)}
       122:{1,3,5}:{(102,1),(103,1),(104,1),(141,1),(174,1)}
       123:{1,2,4,5}:{(103,1),(105,1),(141,1),(142,1),(169,1)}
       124:{2,4,6}:{(104,1),(106,1),(135,1),(141,1),(144,1),(169,1)}
       125:{1,3,6}:{(105,1),(107,1),(142,1),(144,1)}
       126:{1,2,4,7}:{(106,1),(138,1),(143,1),(145,1),(167,1)}
       127:{2,3,7}:{(106,1),(107,1),(144,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(137,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{2,3,5,6}:{(113,1),(115,1),(118,1),(148,1),(149,1),(152,1),(170,1),(172,1)}
       133:{3,5,7}:{(114,1),(148,1),(150,1),(170,1)}
       134:{2,4,7}:{(115,1),(121,1),(149,1),(150,1)}
       135:{2,6}:{(116,1),(119,1)}
       136:{1,3,6}:{(117,1),(120,1),(128,1),(148,1),(152,1)}
       137:{1,4,6}:{(118,1),(121,1),(129,1),(149,1),(154,1)}
       138:{1,2,5,7}:{(119,1),(126,1),(151,1),(155,1),(157,1)}
       139:{2,3,5,7}:{(119,1),(120,1),(127,1),(152,1),(155,1),(156,1),(158,1),(172,1)}
       140:{1,3,4,7}:{(120,1),(121,1),(130,1),(150,1),(153,1),(156,1),(159,1)}
       141:{2,5}:{(122,1),(124,1)}
       142:{1,3,5}:{(123,1),(125,1),(158,1),(159,1)}
       143:{1,2,4,6}:{(124,1),(126,1),(151,1),(157,1),(160,1),(171,1),(173,1)}
       144:{2,3,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(154,1),(161,1),(172,1)}
       148:{3,6}:{(131,1),(133,1)}
       149:{2,4,6}:{(132,1),(134,1),(137,1),(162,1),(163,1)}
       150:{3,4,7}:{(133,1),(134,1),(162,1)}
       151:{1,2,6}:{(135,1),(138,1),(164,1)}
       152:{2,3,6}:{(135,1),(136,1),(139,1),(164,1),(165,1)}
       153:{1,3,4,6}:{(136,1),(137,1),(140,1),(146,1),(162,1),(165,1),(166,1)}
       154:{1,4,5}:{(137,1),(147,1),(163,1),(166,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(145,1),(164,1),(167,1),(168,1),(174,1)}
       156:{2,4,7}:{(139,1),(140,1),(165,1),(167,1),(169,1)}
       157:{1,2,5}:{(141,1),(143,1),(168,1),(174,1)}
       158:{2,3,5}:{(141,1),(142,1),(144,1),(168,1),(169,1)}
       159:{1,3,4}:{(142,1),(169,1)}
       160:{1,3,6}:{(143,1),(144,1),(145,1),(168,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(149,1),(154,1),(170,1),(172,1)}
       164:{1,3,6}:{(151,1),(152,1),(155,1),(171,1)}
       165:{2,4,6}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       166:{1,3,5}:{(153,1),(154,1),(161,1),(170,1),(172,1)}
       167:{1,4,7}:{(155,1),(156,1),(171,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(160,1),(173,1)}
       169:{2,4}:{(158,1),(159,1),(173,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,5}:{(165,1),(166,1),(174,1)}
       173:{1,4}:{(168,1),(169,1)}
       174:{1,5}:{(171,1),(172,1)}

1076 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1077 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1078 :   0:{1,2,6,7}:{(4,1),(5,1),(160,1),(248,1),(249,1),(262,1),(313,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(84,1),(86,1),(160,1),(164,1),(165,1),(180,1),(238,1),(249,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(93,1),(160,1),(313,1),(314,1),(368,1)}
         3:{2,3,5,6}:{(6,1),(9,1),(10,1),(33,1),(35,1),(39,1),(84,1),(93,1),(160,1),(238,1),(239,1),(311,1),(314,1),(367,1),(373,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(14,1),(15,1),(117,1),(205,1),(290,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(15,1),(16,1),(118,1),(120,1),(208,1),(222,1),(278,1)}
         6:{1,3,5,6}:{(1,1),(3,1),(12,1),(15,1),(17,1),(18,1),(48,1),(53,1),(55,1),(117,1),(123,1),(205,1),(210,1),(290,1),(357,1)}
         7:{1,2,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(54,1),(201,1),(217,1),(273,1),(284,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(21,1),(60,1),(346,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(15,1),(20,1),(21,1),(51,1),(61,1),(118,1),(278,1),(343,1),(387,1)}
        10:{2,4,6}:{(3,1),(17,1),(21,1),(22,1),(23,1),(280,1),(388,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(146,1),(160,1),(262,1),(263,1),(331,1)}
        12:{2,3,5,6}:{(6,1),(25,1),(26,1),(33,1),(68,1),(72,1),(84,1),(146,1),(160,1),(180,1),(181,1),(260,1),(263,1),(330,1),(336,1)}
        13:{1,2,4,5}:{(7,1),(27,1),(31,1),(75,1),(84,1),(157,1),(165,1),(174,1),(232,1),(240,1),(243,1),(253,1)}
        14:{1,4,6,7}:{(4,1),(8,1),(24,1),(28,1),(29,1),(78,1),(326,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(28,1),(29,1),(30,1),(81,1),(161,1)}
        16:{1,2,4,7}:{(5,1),(7,1),(29,1),(30,1),(80,1),(245,1),(259,1),(310,1),(320,1)}
        17:{1,4,6}:{(6,1),(10,1),(26,1),(29,1),(31,1),(253,1)}
        18:{1,3,6}:{(7,1),(27,1),(30,1),(33,1),(260,1),(311,1)}
        19:{3,4,6,7}:{(8,1),(34,1),(37,1),(88,1),(93,1),(368,1),(369,1),(401,1)}
        20:{2,5,7}:{(8,1),(28,1),(34,1),(35,1),(373,1)}
        21:{2,4,7}:{(9,1),(10,1),(29,1),(37,1),(401,1)}
        22:{2,4,5}:{(10,1),(31,1),(39,1),(84,1),(373,1),(402,1)}
        23:{3,4,6}:{(10,1),(37,1),(39,1),(93,1),(311,1),(312,1)}
        24:{2,4,6,7}:{(11,1),(14,1),(41,1),(42,1),(43,1),(104,1),(302,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(15,1),(42,1),(43,1),(51,1),(105,1),(118,1),(222,1),(299,1),(359,1)}
        26:{2,4,6}:{(12,1),(17,1),(43,1),(44,1),(45,1),(224,1),(360,1)}
        27:{1,3,5}:{(13,1),(18,1),(46,1),(47,1),(218,1),(274,1),(282,1)}
        28:{1,5,7}:{(14,1),(20,1),(42,1),(48,1),(357,1)}
        29:{1,4,7}:{(15,1),(17,1),(21,1),(43,1)}
        30:{1,3,7}:{(16,1),(18,1),(51,1),(299,1),(343,1)}
        31:{1,4,5}:{(17,1),(22,1),(44,1),(53,1),(123,1),(357,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(23,1),(45,1),(46,1),(50,1),(53,1),(54,1),(117,1)}
        33:{2,3,6}:{(18,1),(47,1),(51,1),(54,1),(55,1),(284,1)}
        34:{3,5,7}:{(19,1),(20,1),(56,1),(57,1),(390,1)}
        35:{2,5,6}:{(20,1),(48,1),(56,1),(60,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(49,1),(57,1),(60,1),(61,1),(118,1)}
        37:{3,4,7}:{(21,1),(23,1),(61,1),(343,1)}
        38:{2,4,5,6}:{(22,1),(52,1),(60,1),(63,1),(64,1),(122,1),(125,1),(130,1),(212,1),(273,1),(339,1),(348,1),(388,1),(393,1)}
        39:{3,5}:{(22,1),(23,1)}
        40:{2,3,4,6}:{(23,1),(54,1),(62,1),(65,1),(66,1),(111,1),(130,1),(133,1),(196,1),(197,1),(280,1),(344,1),(346,1),(353,1)}
        41:{3,4,6,7}:{(24,1),(67,1),(70,1),(141,1),(146,1),(331,1),(332,1),(382,1)}
        42:{2,5,7}:{(24,1),(28,1),(67,1),(68,1),(336,1)}
        43:{2,4,7}:{(25,1),(26,1),(29,1),(70,1),(382,1)}
        44:{2,4,5}:{(26,1),(31,1),(72,1),(84,1),(336,1),(383,1)}
        45:{3,4,6}:{(26,1),(70,1),(72,1),(146,1),(260,1),(261,1)}
        46:{1,3,4}:{(27,1),(75,1),(253,1),(261,1),(312,1)}
        47:{2,3,5}:{(27,1),(33,1),(75,1),(76,1),(84,1),(243,1),(244,1)}
        48:{1,5,6}:{(28,1),(35,1),(68,1),(78,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(36,1),(69,1),(78,1),(79,1),(161,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(32,1),(37,1),(70,1),(79,1),(80,1)}
        51:{2,3,7}:{(30,1),(33,1),(80,1),(81,1),(320,1)}
        52:{1,4,5,6}:{(31,1),(38,1),(71,1),(78,1),(82,1),(83,1),(164,1),(173,1),(231,1),(255,1),(306,1),(328,1),(381,1)}
        53:{1,3,5}:{(31,1),(32,1),(39,1),(72,1),(84,1)}
        54:{2,4,6}:{(32,1),(33,1),(75,1),(80,1),(84,1),(85,1),(160,1)}
        55:{1,3,6}:{(33,1),(76,1),(81,1),(85,1),(86,1)}
        56:{3,5,6}:{(34,1),(35,1),(88,1),(93,1)}
        57:{4,5,7}:{(34,1),(88,1),(401,1),(402,1)}
        58:{3,4,5}:{(39,1),(90,1),(91,1),(312,1),(371,1),(402,1)}
        59:{2,5,6,7}:{(35,1),(77,1),(87,1),(92,1),(254,1),(366,1),(405,1)}
        60:{2,4,6}:{(35,1),(36,1),(78,1),(88,1),(93,1),(160,1)}
        61:{3,5,7}:{(36,1),(37,1),(39,1),(93,1)}
        62:{2,3,4,7}:{(37,1),(40,1),(80,1),(94,1),(95,1),(172,1),(236,1),(241,1),(315,1),(370,1),(377,1)}
        63:{2,4,5,7}:{(38,1),(82,1),(92,1),(96,1),(163,1),(167,1),(172,1),(254,1),(310,1),(366,1),(401,1)}
        64:{3,5,6}:{(38,1),(39,1),(90,1),(93,1),(96,1),(311,1),(371,1),(404,1)}
        65:{2,3,5}:{(39,1),(40,1),(84,1),(91,1),(98,1),(371,1),(373,1),(378,1)}
        66:{1,3,4,6}:{(40,1),(85,1),(95,1),(98,1),(99,1),(154,1),(166,1),(173,1),(176,1),(242,1),(253,1),(260,1),(261,1),(326,1),(332,1),(376,1)}
        67:{3,5,7}:{(41,1),(42,1),(100,1),(101,1),(362,1)}
        68:{2,5,6}:{(42,1),(48,1),(100,1),(104,1)}
        69:{2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(101,1),(104,1),(105,1),(118,1)}
        70:{3,4,7}:{(43,1),(45,1),(105,1),(299,1)}
        71:{2,4,5,6}:{(44,1),(52,1),(104,1),(107,1),(108,1),(122,1),(182,1),(187,1),(217,1),(268,1),(295,1),(304,1),(360,1),(365,1)}
        72:{3,5}:{(44,1),(45,1)}
        73:{2,3,4,6}:{(45,1),(54,1),(106,1),(109,1),(110,1),(111,1),(139,1),(187,1),(190,1),(197,1),(224,1),(300,1),(302,1),(353,1)}
        74:{1,3,4,5}:{(46,1),(53,1),(58,1),(102,1),(112,1),(113,1),(131,1),(188,1),(198,1),(218,1),(274,1),(288,1),(355,1)}
        75:{2,4}:{(46,1),(47,1),(114,1)}
        76:{1,3,5}:{(47,1),(55,1),(114,1),(115,1),(123,1),(203,1)}
        77:{1,5,6,7}:{(48,1),(59,1),(103,1),(116,1),(294,1),(338,1),(398,1)}
        78:{1,4,6}:{(48,1),(49,1),(60,1),(104,1),(117,1),(205,1)}
        79:{1,3,5,7}:{(49,1),(50,1),(53,1),(61,1),(105,1),(117,1),(118,1)}
        80:{2,4,7}:{(50,1),(51,1),(54,1),(118,1),(119,1)}
        81:{1,3,7}:{(51,1),(55,1),(119,1),(120,1)}
        82:{1,4,5,7}:{(52,1),(63,1),(107,1),(116,1),(121,1),(208,1),(216,1),(272,1),(294,1),(338,1)}
        83:{1,3,5,6}:{(52,1),(53,1),(64,1),(108,1),(112,1),(117,1),(121,1),(122,1),(355,1),(397,1)}
        84:{2,5}:{(53,1),(54,1),(123,1)}
        85:{1,4,6}:{(54,1),(55,1),(114,1),(119,1),(123,1),(205,1)}
        86:{1,2,6}:{(55,1),(115,1),(120,1),(284,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(126,1),(132,1),(211,1),(387,1),(410,1)}
        88:{4,6}:{(56,1),(57,1)}
        89:{3,4,5,7}:{(57,1),(58,1),(61,1),(127,1),(128,1),(129,1),(211,1),(342,1),(390,1),(391,1),(409,1)}
        90:{3,4,6}:{(58,1),(64,1),(129,1),(130,1),(388,1)}
        91:{2,4,5}:{(58,1),(65,1),(130,1),(131,1),(280,1)}
        92:{2,4,6,7}:{(59,1),(60,1),(63,1),(116,1),(126,1),(132,1),(204,1),(393,1)}
        93:{3,6}:{(60,1),(61,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(65,1),(118,1),(128,1),(133,1),(134,1),(391,1),(396,1)}
        95:{1,3,4,7}:{(62,1),(66,1),(119,1),(134,1),(135,1),(207,1),(216,1),(283,1),(291,1),(298,1),(299,1),(394,1)}
        96:{3,5,7}:{(63,1),(64,1),(129,1),(132,1),(343,1)}
        97:{2,3,5,6}:{(64,1),(65,1),(122,1),(130,1),(133,1),(136,1),(137,1),(197,1),(212,1)}
        98:{1,3,5}:{(65,1),(66,1),(123,1),(131,1),(138,1),(218,1),(357,1),(362,1),(395,1)}
        99:{2,4,6}:{(66,1),(135,1),(138,1),(139,1),(199,1),(220,1),(224,1),(284,1)}
       100:{3,5,6}:{(67,1),(68,1),(141,1),(146,1)}
       101:{4,5,7}:{(67,1),(141,1),(382,1),(383,1)}
       102:{3,4,5}:{(72,1),(143,1),(144,1),(261,1),(334,1),(383,1)}
       103:{2,5,6,7}:{(68,1),(77,1),(140,1),(145,1),(305,1),(329,1),(386,1)}
       104:{2,4,6}:{(68,1),(69,1),(78,1),(141,1),(146,1),(160,1)}
       105:{3,5,7}:{(69,1),(70,1),(72,1),(146,1)}
       106:{2,3,4,7}:{(70,1),(73,1),(80,1),(147,1),(148,1),(178,1),(230,1),(241,1),(264,1),(333,1),(377,1)}
       107:{2,4,5,7}:{(71,1),(82,1),(145,1),(149,1),(163,1),(225,1),(230,1),(259,1),(305,1),(329,1),(382,1)}
       108:{3,5,6}:{(71,1),(72,1),(143,1),(146,1),(149,1),(260,1),(334,1),(385,1)}
       109:{2,3,5}:{(72,1),(73,1),(84,1),(144,1),(151,1),(334,1),(336,1),(378,1)}
       110:{1,3,4,6}:{(73,1),(85,1),(148,1),(151,1),(152,1),(154,1),(166,1),(231,1),(234,1),(242,1),(253,1),(311,1),(312,1),(326,1),(369,1),(376,1)}
       111:{2,3,4}:{(75,1),(153,1),(154,1),(244,1),(261,1),(312,1),(322,1)}
       112:{1,3,4,6}:{(74,1),(83,1),(90,1),(143,1),(155,1),(156,1),(173,1),(231,1),(242,1),(260,1),(311,1)}
       113:{2,4,5}:{(74,1),(75,1),(84,1),(153,1),(156,1),(157,1),(243,1),(322,1),(378,1)}
       114:{1,4}:{(75,1),(76,1)}
       115:{1,2,5}:{(76,1),(86,1),(158,1),(243,1)}
       116:{1,4,6,7}:{(77,1),(78,1),(82,1),(92,1),(145,1),(159,1),(248,1),(381,1)}
       117:{1,3,6}:{(78,1),(79,1),(93,1),(146,1),(160,1)}
       118:{2,5,7}:{(79,1),(80,1),(84,1),(160,1),(161,1)}
       119:{1,4,7}:{(80,1),(81,1),(85,1),(161,1)}
       120:{1,2,7}:{(81,1),(86,1),(320,1)}
       121:{1,3,5,7}:{(82,1),(83,1),(96,1),(149,1),(155,1),(159,1),(163,1)}
       122:{2,5,6}:{(83,1),(84,1),(156,1),(160,1),(163,1),(164,1),(378,1),(407,1)}
       123:{1,5}:{(84,1),(85,1)}
       124:{1,2,4,6}:{(85,1),(86,1),(99,1),(152,1),(158,1),(162,1),(165,1),(166,1),(240,1),(249,1),(253,1),(318,1),(326,1),(376,1)}
       125:{4,5,6}:{(88,1),(167,1),(168,1),(402,1),(412,1)}
       126:{4,6,7}:{(87,1),(88,1),(167,1),(401,1),(412,1)}
       127:{3,4,6}:{(88,1),(89,1),(93,1),(168,1),(170,1),(404,1),(412,1)}
       128:{2,4,5,7}:{(89,1),(91,1),(94,1),(170,1),(171,1),(172,1),(254,1),(315,1),(373,1)}
       129:{3,4,7}:{(90,1),(96,1),(172,1),(401,1)}
       130:{2,4,6}:{(90,1),(91,1),(97,1),(172,1),(173,1)}
       131:{1,4,5}:{(91,1),(98,1),(173,1),(174,1),(253,1),(383,1)}
       132:{3,6,7}:{(92,1),(93,1),(96,1),(404,1)}
       133:{2,3,6}:{(93,1),(94,1),(160,1),(170,1),(176,1),(404,1),(407,1)}
       134:{1,3,5,7}:{(94,1),(95,1),(98,1),(161,1),(171,1),(176,1),(177,1),(258,1),(406,1)}
       135:{2,4,7}:{(95,1),(99,1),(177,1),(178,1),(320,1)}
       136:{2,3,5,7}:{(96,1),(97,1),(163,1),(172,1),(175,1),(179,1),(241,1),(254,1)}
       137:{1,3,5,6}:{(97,1),(98,1),(164,1),(173,1),(176,1),(179,1),(180,1),(242,1),(255,1),(260,1),(330,1)}
       138:{2,5}:{(98,1),(99,1)}
       139:{2,3,6}:{(99,1),(166,1),(178,1),(181,1),(244,1),(260,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(183,1),(189,1),(267,1),(359,1),(400,1)}
       141:{4,6}:{(100,1),(101,1)}
       142:{3,4,5,7}:{(101,1),(102,1),(105,1),(184,1),(185,1),(186,1),(267,1),(298,1),(362,1),(363,1),(399,1)}
       143:{3,4,6}:{(102,1),(108,1),(186,1),(187,1),(360,1)}
       144:{2,4,5}:{(102,1),(109,1),(187,1),(188,1),(224,1)}
       145:{2,4,6,7}:{(103,1),(104,1),(107,1),(116,1),(183,1),(189,1),(204,1),(365,1)}
       146:{3,6}:{(104,1),(105,1)}
       147:{2,3,5,7}:{(105,1),(106,1),(109,1),(118,1),(185,1),(190,1),(191,1),(363,1),(396,1)}
       148:{1,3,4,7}:{(106,1),(110,1),(119,1),(191,1),(192,1),(207,1),(272,1),(283,1),(291,1),(342,1),(343,1),(394,1)}
       149:{3,5,7}:{(107,1),(108,1),(186,1),(189,1),(299,1)}
       150:{2,3,5,6}:{(108,1),(109,1),(122,1),(187,1),(190,1),(193,1),(194,1),(197,1),(268,1)}
       151:{1,3,5}:{(109,1),(110,1),(123,1),(188,1),(195,1),(274,1),(357,1),(390,1),(395,1)}
       152:{2,4,6}:{(110,1),(192,1),(195,1),(196,1),(199,1),(276,1),(280,1),(284,1)}
       153:{2,3,5}:{(111,1),(113,1),(197,1),(198,1),(218,1),(274,1)}
       154:{1,3,4}:{(111,1),(114,1),(198,1),(199,1),(203,1),(282,1),(351,1)}
       155:{1,3,4,7}:{(112,1),(121,1),(129,1),(186,1),(200,1),(216,1),(272,1),(283,1),(299,1),(343,1)}
       156:{2,4,6}:{(112,1),(113,1),(122,1),(197,1),(200,1),(201,1),(284,1)}
       157:{1,4,5}:{(113,1),(114,1),(123,1),(198,1),(201,1),(351,1),(395,1)}
       158:{1,2,4}:{(114,1),(115,1),(199,1),(203,1)}
       159:{1,3,6,7}:{(116,1),(117,1),(121,1),(132,1),(189,1),(204,1),(397,1)}
       160:{2,6}:{(117,1),(118,1),(205,1)}
       161:{1,5,7}:{(118,1),(119,1),(123,1),(205,1)}
       162:{1,2,4,7}:{(119,1),(120,1),(124,1),(135,1),(192,1),(206,1),(207,1),(291,1),(349,1),(394,1)}
       163:{2,5,7}:{(121,1),(122,1),(200,1),(204,1),(208,1)}
       164:{1,5,6}:{(122,1),(123,1),(201,1),(205,1),(208,1),(395,1),(411,1)}
       165:{1,2,5}:{(123,1),(124,1),(138,1),(195,1),(210,1),(357,1),(395,1)}
       166:{1,3,6}:{(124,1),(139,1),(196,1),(203,1),(207,1),(210,1),(282,1)}
       167:{4,5,7}:{(125,1),(126,1),(211,1)}
       168:{3,5,6}:{(125,1),(127,1),(211,1),(212,1),(390,1)}
       169:{3,4,6,7}:{(126,1),(127,1),(129,1),(132,1),(211,1),(213,1)}
       170:{2,4,6}:{(127,1),(128,1),(133,1),(212,1),(214,1)}
       171:{1,4,5,7}:{(128,1),(131,1),(134,1),(214,1),(215,1),(216,1),(291,1),(294,1),(357,1)}
       172:{2,4,7}:{(129,1),(130,1),(136,1),(216,1)}
       173:{1,4,6}:{(130,1),(131,1),(137,1),(216,1),(217,1),(360,1)}
       174:{2,4,5}:{(131,1),(138,1),(217,1),(218,1),(224,1)}
       175:{2,3,6,7}:{(132,1),(133,1),(136,1),(204,1),(213,1),(219,1)}
       176:{1,3,6}:{(133,1),(134,1),(205,1),(214,1),(220,1),(297,1),(411,1)}
       177:{2,5,7}:{(134,1),(135,1),(138,1),(220,1)}
       178:{2,3,7}:{(135,1),(139,1),(207,1),(299,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(208,1),(216,1),(219,1),(222,1),(283,1),(294,1),(299,1),(359,1)}
       180:{2,5,6}:{(137,1),(138,1),(217,1),(220,1),(222,1),(284,1)}
       181:{2,3,5}:{(138,1),(139,1),(210,1),(218,1),(224,1)}
       182:{4,5,6}:{(141,1),(225,1),(226,1),(383,1),(408,1)}
       183:{4,6,7}:{(140,1),(141,1),(225,1),(382,1),(408,1)}
       184:{3,4,6}:{(141,1),(142,1),(146,1),(226,1),(228,1),(385,1),(408,1)}
       185:{2,4,5,7}:{(142,1),(144,1),(147,1),(228,1),(229,1),(230,1),(264,1),(305,1),(336,1)}
       186:{3,4,7}:{(143,1),(149,1),(230,1),(382,1)}
       187:{2,4,6}:{(143,1),(144,1),(150,1),(230,1),(231,1)}
       188:{1,4,5}:{(144,1),(151,1),(231,1),(232,1),(253,1),(402,1)}
       189:{3,6,7}:{(145,1),(146,1),(149,1),(385,1)}
       190:{2,3,6}:{(146,1),(147,1),(160,1),(228,1),(234,1),(385,1),(407,1)}
       191:{1,3,5,7}:{(147,1),(148,1),(151,1),(161,1),(229,1),(234,1),(235,1),(309,1),(406,1)}
       192:{2,4,7}:{(148,1),(152,1),(235,1),(236,1),(320,1)}
       193:{2,3,5,7}:{(149,1),(150,1),(163,1),(230,1),(233,1),(237,1),(241,1),(305,1)}
       194:{1,3,5,6}:{(150,1),(151,1),(164,1),(231,1),(234,1),(237,1),(238,1),(242,1),(306,1),(311,1),(367,1)}
       195:{2,5}:{(151,1),(152,1)}
       196:{2,3,6}:{(152,1),(166,1),(236,1),(239,1),(244,1),(311,1)}
       197:{2,3,6}:{(153,1),(156,1),(241,1),(242,1),(260,1),(311,1)}
       198:{1,3,5}:{(153,1),(154,1),(157,1),(242,1),(243,1)}
       199:{2,4}:{(154,1),(243,1),(244,1)}
       200:{2,4,7}:{(155,1),(156,1),(163,1),(241,1),(245,1),(320,1)}
       201:{1,4,6}:{(156,1),(157,1),(164,1),(242,1),(245,1)}
       202:{1,2,4,5}:{(157,1),(158,1),(165,1),(174,1),(232,1),(243,1),(246,1),(247,1),(253,1),(322,1),(328,1),(378,1)}
       203:{1,3}:{(158,1),(244,1)}
       204:{2,6,7}:{(159,1),(160,1),(163,1),(248,1),(407,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(165,1),(177,1),(235,1),(249,1),(250,1),(406,1)}
       207:{1,3,7}:{(162,1),(166,1),(178,1),(236,1)}
       208:{1,5,7}:{(163,1),(164,1),(245,1),(248,1)}
       209:{1,2,5,6}:{(164,1),(165,1),(180,1),(238,1),(246,1),(249,1),(251,1),(252,1),(318,1),(378,1),(407,1)}
       210:{1,3,5}:{(165,1),(166,1),(181,1),(239,1),(253,1)}
       211:{3,5,7}:{(167,1),(168,1),(169,1),(254,1)}
       212:{2,5,6}:{(168,1),(170,1),(254,1),(255,1),(373,1)}
       213:{2,4,6,7}:{(169,1),(170,1),(172,1),(175,1),(254,1),(256,1)}
       214:{1,4,6}:{(170,1),(171,1),(176,1),(255,1),(257,1)}
       215:{2,4,5,7}:{(171,1),(174,1),(177,1),(257,1),(258,1),(259,1),(264,1),(329,1),(336,1),(382,1),(383,1)}
       216:{1,4,7}:{(172,1),(173,1),(179,1),(259,1),(382,1)}
       217:{2,4,6}:{(173,1),(174,1),(180,1),(259,1),(260,1)}
       218:{3,5}:{(174,1),(260,1),(261,1)}
       219:{1,3,6,7}:{(175,1),(176,1),(179,1),(248,1),(256,1),(262,1),(331,1)}
       220:{2,6}:{(176,1),(177,1)}
       221:{2,3,5,7}:{(177,1),(178,1),(181,1),(250,1),(258,1),(263,1),(264,1),(336,1)}
       222:{2,5,7}:{(179,1),(180,1),(259,1),(262,1),(320,1)}
       223:{2,3,5,6}:{(180,1),(181,1),(252,1),(260,1),(263,1),(265,1),(266,1),(321,1),(330,1),(334,1),(336,1),(378,1),(385,1),(386,1),(407,1)}
       224:{2,4}:{(181,1),(253,1),(261,1)}
       225:{4,5,7}:{(182,1),(183,1),(267,1)}
       226:{3,5,6}:{(182,1),(184,1),(267,1),(268,1),(362,1)}
       227:{3,4,6,7}:{(183,1),(184,1),(186,1),(189,1),(267,1),(269,1)}
       228:{2,4,6}:{(184,1),(185,1),(190,1),(268,1),(270,1)}
       229:{1,4,5,7}:{(185,1),(188,1),(191,1),(270,1),(271,1),(272,1),(291,1),(338,1),(357,1)}
       230:{2,4,7}:{(186,1),(187,1),(193,1),(272,1)}
       231:{1,4,6}:{(187,1),(188,1),(194,1),(272,1),(273,1),(388,1)}
       232:{2,4,5}:{(188,1),(195,1),(273,1),(274,1),(280,1)}
       233:{2,3,6,7}:{(189,1),(190,1),(193,1),(204,1),(269,1),(275,1)}
       234:{1,3,6}:{(190,1),(191,1),(205,1),(270,1),(276,1),(341,1),(411,1)}
       235:{2,5,7}:{(191,1),(192,1),(195,1),(276,1)}
       236:{2,3,7}:{(192,1),(196,1),(207,1),(343,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(208,1),(272,1),(275,1),(278,1),(283,1),(338,1),(343,1),(387,1)}
       238:{2,5,6}:{(194,1),(195,1),(273,1),(276,1),(278,1),(284,1)}
       239:{2,3,5}:{(195,1),(196,1),(210,1),(274,1),(280,1)}
       240:{1,2,4}:{(199,1),(281,1),(282,1),(351,1)}
       241:{2,3,7}:{(197,1),(200,1),(283,1),(299,1),(343,1)}
       242:{1,3,6}:{(197,1),(198,1),(201,1),(283,1),(284,1)}
       243:{2,5}:{(198,1),(199,1),(284,1)}
       244:{2,3}:{(199,1),(203,1),(282,1)}
       245:{1,4,7}:{(200,1),(201,1),(208,1),(283,1)}
       246:{1,2,4,6}:{(201,1),(202,1),(209,1),(217,1),(273,1),(284,1),(286,1),(287,1),(293,1),(353,1)}
       247:{1,3,5}:{(202,1),(203,1),(218,1),(274,1),(285,1),(287,1),(288,1)}
       248:{1,6,7}:{(204,1),(205,1),(208,1),(411,1)}
       249:{1,2,6}:{(205,1),(206,1),(220,1),(276,1),(290,1),(411,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(210,1),(221,1),(277,1),(290,1),(291,1),(357,1)}
       251:{1,2,5,7}:{(208,1),(209,1),(222,1),(278,1),(286,1),(289,1),(292,1),(349,1),(396,1)}
       252:{1,3,5,6}:{(209,1),(210,1),(223,1),(279,1),(287,1),(290,1),(292,1),(293,1),(350,1),(355,1),(357,1),(395,1),(397,1),(398,1),(411,1)}
       253:{1,4}:{(210,1),(224,1),(280,1)}
       254:{2,5,7}:{(211,1),(212,1),(213,1),(294,1)}
       255:{1,5,6}:{(212,1),(214,1),(294,1),(295,1),(357,1)}
       256:{1,4,6,7}:{(213,1),(214,1),(216,1),(219,1),(294,1),(296,1)}
       257:{2,4,6}:{(214,1),(215,1),(220,1),(295,1),(297,1),(360,1)}
       258:{3,5,7}:{(215,1),(218,1),(297,1),(298,1),(299,1),(362,1)}
       259:{2,4,7}:{(216,1),(217,1),(222,1),(299,1)}
       260:{3,6}:{(217,1),(218,1),(299,1)}
       261:{3,4}:{(218,1),(224,1)}
       262:{2,6,7}:{(219,1),(220,1),(222,1)}
       263:{2,3,6}:{(220,1),(221,1),(290,1),(297,1),(302,1)}
       264:{2,4,7}:{(221,1),(224,1),(291,1),(298,1),(302,1)}
       265:{2,3,5,7}:{(222,1),(223,1),(292,1),(299,1),(301,1),(303,1),(352,1),(359,1),(363,1),(364,1),(396,1)}
       266:{2,4,6}:{(223,1),(224,1),(293,1),(300,1),(303,1),(304,1),(360,1)}
       267:{3,5,7}:{(225,1),(226,1),(227,1),(305,1)}
       268:{2,5,6}:{(226,1),(228,1),(305,1),(306,1),(336,1)}
       269:{2,4,6,7}:{(227,1),(228,1),(230,1),(233,1),(305,1),(307,1)}
       270:{1,4,6}:{(228,1),(229,1),(234,1),(306,1),(308,1)}
       271:{2,4,5,7}:{(229,1),(232,1),(235,1),(308,1),(309,1),(310,1),(315,1),(366,1),(373,1),(401,1),(402,1)}
       272:{1,4,7}:{(230,1),(231,1),(237,1),(310,1),(401,1)}
       273:{2,4,6}:{(231,1),(232,1),(238,1),(310,1),(311,1)}
       274:{3,5}:{(232,1),(311,1),(312,1)}
       275:{1,3,6,7}:{(233,1),(234,1),(237,1),(248,1),(307,1),(313,1),(368,1)}
       276:{2,6}:{(234,1),(235,1)}
       277:{2,3,5,7}:{(235,1),(236,1),(239,1),(250,1),(309,1),(314,1),(315,1),(373,1)}
       278:{2,5,7}:{(237,1),(238,1),(310,1),(313,1),(320,1)}
       279:{2,3,5,6}:{(238,1),(239,1),(252,1),(311,1),(314,1),(316,1),(317,1),(321,1),(367,1),(371,1),(373,1),(378,1),(404,1),(405,1),(407,1)}
       280:{2,4}:{(239,1),(253,1),(312,1)}
       281:{1,2,5}:{(240,1),(243,1),(318,1),(319,1)}
       282:{1,3}:{(240,1),(244,1)}
       283:{1,3,7}:{(241,1),(242,1),(245,1),(320,1)}
       284:{2,6}:{(242,1),(243,1),(320,1)}
       285:{2,3,5}:{(243,1),(244,1),(247,1),(319,1),(321,1),(322,1),(378,1)}
       286:{1,2,4,7}:{(245,1),(246,1),(251,1),(259,1),(310,1),(320,1),(323,1),(327,1),(377,1)}
       287:{1,3,6}:{(246,1),(247,1),(260,1),(311,1),(321,1),(323,1)}
       288:{1,3,4}:{(247,1),(253,1),(261,1),(312,1),(322,1)}
       289:{1,2,6,7}:{(248,1),(249,1),(251,1),(262,1),(313,1),(325,1),(407,1)}
       290:{1,3,6}:{(249,1),(250,1),(263,1),(314,1),(326,1)}
       291:{1,4,7}:{(250,1),(253,1),(264,1),(315,1),(326,1)}
       292:{1,3,5,7}:{(251,1),(252,1),(265,1),(316,1),(323,1),(325,1),(327,1),(375,1),(380,1),(406,1)}
       293:{1,4,6}:{(252,1),(253,1),(266,1),(317,1),(327,1),(328,1)}
       294:{1,5,7}:{(254,1),(255,1),(256,1),(329,1)}
       295:{2,5,6}:{(255,1),(257,1),(329,1),(330,1),(336,1)}
       296:{2,4,6,7}:{(256,1),(257,1),(259,1),(262,1),(329,1),(331,1),(382,1)}
       297:{3,6}:{(257,1),(258,1)}
       298:{3,4,7}:{(258,1),(261,1),(264,1),(332,1),(382,1)}
       299:{3,7}:{(259,1),(260,1)}
       300:{3,4,6}:{(260,1),(261,1),(266,1),(333,1),(334,1),(385,1)}
       301:{2,3,6,7}:{(262,1),(263,1),(265,1),(325,1),(331,1),(335,1),(385,1),(407,1)}
       302:{2,4,6}:{(263,1),(264,1),(326,1),(332,1),(336,1)}
       303:{2,4,7}:{(265,1),(266,1),(327,1),(333,1),(382,1)}
       304:{2,4,5}:{(266,1),(328,1),(334,1),(336,1),(378,1),(383,1)}
       305:{2,5,7}:{(267,1),(268,1),(269,1),(338,1)}
       306:{1,5,6}:{(268,1),(270,1),(338,1),(339,1),(357,1)}
       307:{1,4,6,7}:{(269,1),(270,1),(272,1),(275,1),(338,1),(340,1)}
       308:{2,4,6}:{(270,1),(271,1),(276,1),(339,1),(341,1),(388,1)}
       309:{3,5,7}:{(271,1),(274,1),(341,1),(342,1),(343,1),(390,1)}
       310:{2,4,7}:{(272,1),(273,1),(278,1),(343,1)}
       311:{3,6}:{(273,1),(274,1),(343,1)}
       312:{3,4}:{(274,1),(280,1)}
       313:{2,6,7}:{(275,1),(276,1),(278,1)}
       314:{2,3,6}:{(276,1),(277,1),(290,1),(341,1),(346,1)}
       315:{2,4,7}:{(277,1),(280,1),(291,1),(342,1),(346,1)}
       316:{2,3,5,7}:{(278,1),(279,1),(292,1),(343,1),(345,1),(347,1),(352,1),(387,1),(391,1),(392,1),(396,1)}
       317:{2,4,6}:{(279,1),(280,1),(293,1),(344,1),(347,1),(348,1),(388,1)}
       318:{1,2,6}:{(281,1),(284,1),(349,1),(350,1)}
       319:{1,3,5}:{(281,1),(282,1),(285,1),(350,1),(351,1),(395,1)}
       320:{2,7}:{(283,1),(284,1)}
       321:{2,3,6}:{(284,1),(285,1),(287,1),(350,1),(352,1),(353,1)}
       322:{2,4}:{(285,1),(288,1),(351,1)}
       323:{1,3,7}:{(286,1),(287,1),(299,1),(343,1),(352,1)}
       324:{1,3,4,6}:{(287,1),(288,1),(293,1),(300,1),(344,1),(353,1),(354,1),(355,1),(397,1)}
       325:{1,3,6,7}:{(289,1),(290,1),(292,1),(301,1),(345,1),(356,1),(397,1),(411,1)}
       326:{1,4,6}:{(290,1),(291,1),(302,1),(346,1),(357,1)}
       327:{1,4,7}:{(292,1),(293,1),(303,1),(347,1)}
       328:{1,4,5}:{(293,1),(304,1),(348,1),(355,1),(357,1),(395,1)}
       329:{2,5,7}:{(294,1),(295,1),(296,1),(359,1)}
       330:{3,5,6}:{(295,1),(297,1),(359,1),(360,1),(362,1)}
       331:{3,6,7}:{(296,1),(297,1),(299,1),(359,1)}
       332:{3,4,6}:{(297,1),(298,1),(302,1),(360,1),(362,1)}
       333:{3,4,7}:{(299,1),(300,1),(303,1),(363,1)}
       334:{3,5}:{(300,1),(304,1)}
       335:{2,4,6,7}:{(301,1),(302,1),(303,1),(356,1),(361,1),(364,1),(365,1)}
       336:{2,5}:{(302,1),(357,1),(362,1)}
       337:{2,4,5,7}:{(303,1),(304,1),(358,1),(363,1),(364,1),(365,1),(396,1),(399,1)}
       338:{1,5,7}:{(305,1),(306,1),(307,1),(366,1)}
       339:{2,5,6}:{(306,1),(308,1),(366,1),(367,1),(373,1)}
       340:{2,4,6,7}:{(307,1),(308,1),(310,1),(313,1),(366,1),(368,1),(401,1)}
       341:{3,6}:{(308,1),(309,1)}
       342:{3,4,7}:{(309,1),(312,1),(315,1),(369,1),(401,1)}
       343:{3,7}:{(310,1),(311,1)}
       344:{3,4,6}:{(311,1),(312,1),(317,1),(370,1),(371,1),(404,1)}
       345:{2,3,6,7}:{(313,1),(314,1),(316,1),(325,1),(368,1),(372,1),(404,1),(407,1)}
       346:{2,4,6}:{(314,1),(315,1),(326,1),(369,1),(373,1)}
       347:{2,4,7}:{(316,1),(317,1),(327,1),(370,1),(401,1)}
       348:{2,4,5}:{(317,1),(328,1),(371,1),(373,1),(378,1),(402,1)}
       349:{1,2,7}:{(318,1),(320,1),(375,1)}
       350:{1,3,6}:{(318,1),(319,1),(321,1),(375,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,3,7}:{(320,1),(321,1),(323,1),(375,1),(377,1)}
       353:{2,4,6}:{(321,1),(322,1),(324,1),(376,1),(377,1),(378,1),(407,1)}
       354:{1,3,4,7}:{(323,1),(324,1),(327,1),(333,1),(370,1),(377,1),(379,1)}
       355:{1,3,5}:{(324,1),(328,1),(334,1),(371,1),(378,1)}
       356:{1,4,6,7}:{(325,1),(326,1),(327,1),(335,1),(372,1),(380,1),(381,1)}
       357:{1,5}:{(326,1),(336,1),(373,1)}
       358:{1,4,5,7}:{(327,1),(328,1),(337,1),(374,1),(379,1),(380,1),(381,1),(406,1)}
       359:{3,5,7}:{(329,1),(330,1),(331,1),(382,1)}
       360:{4,6}:{(330,1),(382,1),(383,1)}
       361:{3,4,6,7}:{(331,1),(332,1),(333,1),(335,1),(382,1),(384,1),(385,1),(408,1)}
       362:{3,5}:{(332,1),(336,1),(383,1)}
       363:{3,5,7}:{(333,1),(334,1),(337,1),(385,1)}
       364:{2,5,7}:{(335,1),(336,1),(380,1),(384,1),(386,1)}
       365:{2,4,6}:{(337,1),(381,1),(385,1),(386,1),(407,1),(408,1)}
       366:{2,5,7}:{(338,1),(339,1),(340,1),(387,1)}
       367:{3,5,6}:{(339,1),(341,1),(387,1),(388,1),(390,1)}
       368:{3,6,7}:{(340,1),(341,1),(343,1),(387,1)}
       369:{3,4,6}:{(341,1),(342,1),(346,1),(388,1),(390,1)}
       370:{3,4,7}:{(343,1),(344,1),(347,1),(391,1)}
       371:{3,5}:{(344,1),(348,1)}
       372:{2,4,6,7}:{(345,1),(346,1),(347,1),(356,1),(389,1),(392,1),(393,1)}
       373:{2,5}:{(346,1),(357,1),(390,1)}
       374:{2,4,5,7}:{(347,1),(348,1),(358,1),(391,1),(392,1),(393,1),(396,1),(409,1)}
       375:{1,3,7}:{(349,1),(350,1),(352,1),(394,1)}
       376:{1,4,6}:{(350,1),(351,1),(353,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(352,1),(353,1),(354,1),(394,1),(396,1)}
       378:{2,5}:{(353,1),(355,1),(395,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(358,1),(363,1),(391,1),(396,1),(397,1)}
       380:{1,5,7}:{(356,1),(357,1),(364,1),(392,1),(398,1)}
       381:{1,4,6}:{(358,1),(365,1),(393,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(360,1)}
       383:{4,5}:{(360,1),(362,1)}
       384:{3,5,7}:{(361,1),(362,1),(364,1),(399,1),(400,1)}
       385:{3,6}:{(363,1),(365,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(400,1)}
       387:{3,5,7}:{(366,1),(367,1),(368,1),(401,1)}
       388:{4,6}:{(367,1),(401,1),(402,1)}
       389:{3,4,6,7}:{(368,1),(369,1),(370,1),(372,1),(401,1),(403,1),(404,1),(412,1)}
       390:{3,5}:{(369,1),(373,1),(402,1)}
       391:{3,5,7}:{(370,1),(371,1),(374,1),(404,1)}
       392:{2,5,7}:{(372,1),(373,1),(380,1),(403,1),(405,1)}
       393:{2,4,6}:{(374,1),(381,1),(404,1),(405,1),(407,1),(412,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(385,1),(404,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{4,5,7}:{(382,1),(383,1),(384,1),(408,1)}
       400:{3,5,6}:{(384,1),(385,1),(386,1),(408,1)}
       401:{4,7}:{(387,1),(388,1)}
       402:{4,5}:{(388,1),(390,1)}
       403:{3,5,7}:{(389,1),(390,1),(392,1),(409,1),(410,1)}
       404:{3,6}:{(391,1),(393,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(410,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(403,1),(412,1)}
       410:{3,5,6}:{(403,1),(404,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

1079 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(48,1),(53,1)}
         1:{2,3,5,7}:{(4,1),(5,1),(6,1),(18,1),(25,1),(26,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(11,1),(34,1),(67,1)}
         3:{1,2,6}:{(0,1),(10,1),(73,1)}
         4:{1,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(32,1),(35,1),(38,1),(68,1),(70,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(41,1),(73,1)}
         6:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(71,1)}
         7:{2,3,5,7}:{(4,1),(15,1),(16,1),(18,1),(45,1),(46,1),(51,1),(53,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(22,1),(52,1),(54,1)}
         9:{1,3,7}:{(2,1),(18,1),(20,1),(84,1),(125,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(15,1),(22,1),(87,1)}
        11:{1,4,7}:{(4,1),(6,1),(16,1),(22,1),(54,1),(85,1)}
        12:{3,4,7}:{(6,1),(24,1),(25,1),(88,1),(94,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1)}
        14:{2,4,5,7}:{(6,1),(23,1),(25,1),(26,1),(27,1),(53,1),(59,1),(62,1),(89,1),(94,1),(114,1)}
        15:{2,3,6}:{(7,1),(10,1),(29,1),(64,1),(73,1)}
        16:{2,4,7}:{(7,1),(11,1),(28,1),(29,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(97,1),(124,1)}
        18:{2,3,7}:{(9,1),(32,1),(33,1),(34,1),(98,1),(119,1),(124,1)}
        19:{1,2,5}:{(8,1),(35,1),(38,1),(72,1),(97,1)}
        20:{1,3,6}:{(8,1),(9,1),(33,1),(35,1),(123,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(12,1),(28,1),(34,1),(36,1),(37,1),(99,1),(106,1),(119,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(38,1)}
        23:{1,4,5,7}:{(11,1),(14,1),(30,1),(37,1),(38,1),(39,1),(70,1),(74,1),(77,1),(100,1),(106,1),(118,1)}
        24:{3,4,6}:{(12,1),(13,1),(40,1),(41,1),(78,1)}
        25:{3,5,7}:{(12,1),(14,1),(40,1),(41,1),(103,1),(119,1)}
        26:{2,5}:{(13,1),(38,1),(40,1)}
        27:{2,4,6}:{(14,1),(39,1),(41,1),(42,1),(73,1),(78,1)}
        28:{3,4,7}:{(16,1),(44,1),(45,1),(88,1),(107,1)}
        29:{2,4,6}:{(15,1),(16,1),(22,1),(44,1),(46,1)}
        30:{2,4,5,7}:{(16,1),(23,1),(45,1),(46,1),(47,1),(53,1),(80,1),(83,1),(89,1),(107,1),(114,1)}
        31:{1,2,6}:{(17,1),(48,1),(49,1),(121,1)}
        32:{1,3,7}:{(17,1),(18,1),(49,1),(50,1),(108,1)}
        33:{2,3,6}:{(18,1),(20,1),(49,1),(51,1),(52,1),(113,1),(121,1)}
        34:{2,4,7}:{(18,1),(21,1),(50,1),(52,1),(53,1),(109,1)}
        35:{1,3,5}:{(19,1),(20,1),(51,1),(54,1),(108,1),(120,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(22,1),(24,1),(44,1),(52,1),(54,1),(55,1),(56,1),(88,1),(92,1),(113,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(45,1),(53,1),(55,1),(56,1),(110,1),(122,1)}
        38:{1,5}:{(22,1),(26,1),(46,1)}
        39:{1,4,6}:{(23,1),(27,1),(47,1),(56,1),(57,1),(87,1)}
        40:{3,5}:{(24,1),(26,1),(59,1)}
        41:{3,6}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(27,1),(57,1),(60,1),(62,1)}
        43:{2,4,6,7}:{(27,1),(58,1),(61,1),(62,1),(91,1),(94,1),(114,1)}
        44:{3,4,6}:{(28,1),(29,1),(63,1),(64,1),(95,1)}
        45:{3,5,7}:{(28,1),(30,1),(63,1),(64,1),(103,1),(119,1)}
        46:{2,5}:{(29,1),(38,1),(63,1)}
        47:{2,4,6}:{(30,1),(39,1),(64,1),(65,1),(73,1),(95,1)}
        48:{1,2,5}:{(31,1),(67,1),(68,1),(116,1)}
        49:{1,3,6}:{(31,1),(32,1),(33,1),(68,1),(69,1)}
        50:{1,4,7}:{(32,1),(34,1),(69,1),(70,1),(115,1)}
        51:{2,3,5}:{(33,1),(35,1),(68,1),(71,1),(72,1),(98,1),(103,1),(116,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(69,1),(71,1),(72,1),(73,1)}
        53:{2,5,7}:{(34,1),(37,1),(70,1),(72,1),(73,1),(116,1),(124,1)}
        54:{1,4}:{(35,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(40,1),(63,1),(72,1),(74,1),(103,1)}
        56:{1,3,6}:{(37,1),(39,1),(41,1),(64,1),(73,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(65,1),(77,1)}
        58:{1,4,6,7}:{(39,1),(43,1),(66,1),(76,1),(77,1),(102,1),(106,1),(118,1)}
        59:{4,5}:{(40,1),(78,1)}
        60:{3,5,6}:{(40,1),(41,1),(42,1),(78,1),(79,1)}
        61:{3,6,7}:{(41,1),(43,1),(79,1),(119,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(79,1)}
        63:{3,5}:{(44,1),(46,1),(80,1)}
        64:{3,6}:{(45,1),(47,1)}
        65:{2,5,6}:{(46,1),(47,1),(57,1),(81,1),(83,1)}
        66:{2,4,6,7}:{(47,1),(58,1),(82,1),(83,1),(91,1),(107,1),(114,1)}
        67:{1,2,4}:{(48,1),(84,1),(85,1),(109,1)}
        68:{1,3,5}:{(48,1),(49,1),(51,1),(84,1),(85,1),(86,1)}
        69:{1,4,6}:{(49,1),(50,1),(52,1),(85,1),(86,1),(87,1)}
        70:{1,5,7}:{(50,1),(53,1),(86,1),(87,1),(120,1),(125,1)}
        71:{2,4}:{(51,1),(54,1),(85,1),(88,1)}
        72:{2,5}:{(52,1),(55,1),(86,1)}
        73:{2,6}:{(53,1),(56,1),(87,1)}
        74:{1,4,5}:{(54,1),(55,1),(59,1),(80,1),(89,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(55,1),(56,1),(57,1),(60,1),(81,1),(90,1),(92,1),(93,1),(113,1)}
        76:{1,3,6,7}:{(56,1),(58,1),(61,1),(82,1),(91,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{4,6}:{(59,1),(60,1),(94,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(94,1)}
        80:{4,5}:{(63,1),(95,1)}
        81:{3,5,6}:{(63,1),(64,1),(65,1),(95,1),(96,1)}
        82:{3,6,7}:{(64,1),(66,1),(96,1),(119,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(96,1)}
        84:{1,3}:{(67,1),(98,1)}
        85:{1,4}:{(68,1),(71,1)}
        86:{1,5}:{(69,1),(72,1)}
        87:{1,6}:{(70,1),(73,1)}
        88:{3,4}:{(71,1),(103,1)}
        89:{2,4,5}:{(71,1),(72,1),(74,1),(100,1),(103,1),(104,1),(116,1)}
        90:{2,5,6}:{(72,1),(73,1),(75,1),(101,1),(104,1),(105,1)}
        91:{2,6,7}:{(73,1),(76,1),(102,1),(105,1),(124,1)}
        92:{1,4,6}:{(74,1),(75,1),(78,1),(95,1),(104,1),(106,1),(123,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(77,1),(79,1),(96,1),(105,1),(106,1),(119,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{4,6}:{(80,1),(81,1),(107,1)}
        96:{3,5,7}:{(81,1),(82,1),(83,1),(107,1)}
        97:{1,2}:{(108,1)}
        98:{2,3}:{(84,1),(108,1),(109,1)}
        99:{1,3,4}:{(84,1),(85,1),(88,1),(109,1),(110,1)}
       100:{1,4,5}:{(85,1),(86,1),(89,1),(110,1),(111,1)}
       101:{1,5,6}:{(86,1),(87,1),(90,1),(111,1),(112,1)}
       102:{1,6,7}:{(87,1),(91,1),(112,1),(125,1)}
       103:{3,5}:{(88,1),(89,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(92,1),(111,1),(113,1),(114,1),(121,1)}
       105:{2,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1)}
       106:{1,4,7}:{(92,1),(93,1),(94,1),(107,1),(114,1),(125,1)}
       107:{4,7}:{(95,1),(96,1)}
       108:{1,3}:{(97,1),(98,1),(115,1)}
       109:{2,4}:{(98,1),(99,1),(115,1),(116,1)}
       110:{1,3,5}:{(99,1),(100,1),(103,1),(116,1),(117,1)}
       111:{1,4,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       112:{1,5,7}:{(101,1),(102,1),(105,1),(118,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{2,4,7}:{(104,1),(105,1),(106,1),(118,1),(119,1),(124,1)}
       115:{1,4}:{(108,1),(109,1),(120,1)}
       116:{2,5}:{(109,1),(110,1),(120,1),(121,1)}
       117:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       118:{1,4,7}:{(111,1),(112,1),(114,1),(122,1)}
       119:{3,7}:{(113,1),(114,1)}
       120:{1,5}:{(115,1),(116,1),(123,1)}
       121:{2,6}:{(116,1),(117,1),(123,1),(124,1)}
       122:{1,3,7}:{(117,1),(118,1),(119,1),(124,1)}
       123:{1,6}:{(120,1),(121,1),(125,1)}
       124:{2,7}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1080 :   0:{1,3,4,5}:{(2,1),(3,1),(14,1),(20,1),(61,1),(163,1),(165,1),(278,1)}
         1:{1,2,4,5}:{(5,1),(6,1),(8,1),(28,1),(32,1),(41,1),(87,1),(97,1),(99,1),(101,1),(200,1),(218,1),(297,1),(317,1)}
         2:{2,4,5}:{(0,1),(7,1),(8,1),(9,1),(32,1),(41,1),(99,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(11,1),(42,1),(118,1),(120,1),(225,1)}
         4:{1,3,4,5}:{(12,1),(13,1),(14,1),(52,1),(61,1),(241,1),(243,1),(350,1)}
         5:{1,3,5}:{(1,1),(14,1),(15,1),(16,1),(144,1),(278,1),(350,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(17,1),(18,1),(22,1),(54,1),(60,1),(67,1),(74,1),(133,1),(168,1),(246,1)}
         7:{2,3,5}:{(2,1),(19,1),(20,1),(21,1),(278,1)}
         8:{1,4,5}:{(2,1),(20,1),(22,1),(59,1),(146,1)}
         9:{2,4,6}:{(2,1),(3,1),(21,1),(22,1),(23,1),(24,1),(74,1)}
        10:{1,3,5,6}:{(3,1),(23,1),(25,1),(26,1),(61,1),(81,1),(151,1)}
        11:{1,3,4,7}:{(3,1),(24,1),(26,1),(76,1),(171,1),(173,1),(286,1)}
        12:{2,4,5}:{(4,1),(27,1),(28,1),(29,1),(32,1),(87,1),(99,1)}
        13:{1,3,4,6}:{(4,1),(29,1),(30,1),(31,1),(88,1),(188,1),(190,1),(304,1)}
        14:{1,3,4}:{(5,1),(32,1),(317,1),(332,1),(390,1)}
        15:{2,3,5}:{(5,1),(32,1),(34,1),(35,1),(41,1),(87,1),(99,1),(110,1),(180,1)}
        16:{1,3,6}:{(5,1),(6,1),(35,1),(37,1),(225,1),(304,1)}
        17:{1,2,5,6}:{(6,1),(36,1),(38,1),(45,1),(91,1),(99,1),(116,1),(186,1),(200,1),(206,1),(320,1),(412,1)}
        18:{1,2,4,7}:{(6,1),(37,1),(38,1),(46,1),(92,1),(100,1),(108,1),(117,1),(187,1),(226,1),(305,1)}
        19:{2,3,4}:{(7,1),(32,1),(39,1),(180,1),(332,1)}
        20:{1,3,5}:{(7,1),(8,1),(39,1),(41,1),(42,1)}
        21:{2,3,6}:{(7,1),(9,1),(42,1),(44,1),(225,1)}
        22:{1,4,6}:{(8,1),(9,1),(42,1),(45,1),(46,1)}
        23:{2,5,6}:{(9,1),(10,1),(45,1),(48,1),(99,1),(206,1)}
        24:{2,4,7}:{(9,1),(11,1),(44,1),(46,1),(48,1),(117,1)}
        25:{1,4,5,6}:{(10,1),(47,1),(49,1),(101,1),(118,1),(207,1),(233,1),(339,1)}
        26:{1,3,5,7}:{(10,1),(11,1),(48,1),(49,1),(50,1),(126,1)}
        27:{2,3,5}:{(12,1),(51,1),(52,1),(53,1),(350,1)}
        28:{1,4,5}:{(12,1),(52,1),(54,1),(59,1),(146,1)}
        29:{2,4,6}:{(12,1),(13,1),(53,1),(54,1),(55,1),(56,1),(133,1)}
        30:{1,3,5,6}:{(13,1),(55,1),(57,1),(58,1),(61,1),(140,1),(151,1)}
        31:{1,3,4,7}:{(13,1),(56,1),(58,1),(135,1),(249,1),(251,1),(358,1)}
        32:{2,4}:{(14,1),(15,1),(59,1)}
        33:{1,3,4,6}:{(14,1),(16,1),(60,1),(61,1),(62,1),(67,1),(151,1),(156,1)}
        34:{1,3,5}:{(15,1),(59,1),(63,1),(64,1),(144,1),(146,1)}
        35:{2,3,6}:{(15,1),(16,1),(60,1),(64,1),(66,1),(74,1),(133,1)}
        36:{1,3,5,6}:{(16,1),(17,1),(61,1),(65,1),(67,1),(68,1),(151,1),(258,1),(267,1),(369,1),(371,1),(376,1),(432,1),(434,1)}
        37:{1,3,7}:{(16,1),(18,1),(66,1),(286,1),(358,1)}
        38:{1,2,5,7}:{(17,1),(18,1),(68,1),(69,1),(80,1),(139,1),(149,1),(169,1),(247,1),(435,1)}
        39:{1,3,4}:{(19,1),(20,1),(59,1),(70,1),(144,1)}
        40:{2,3,4,6}:{(19,1),(21,1),(60,1),(71,1),(72,1),(73,1),(77,1),(156,1),(167,1),(238,1),(271,1),(285,1),(348,1),(380,1),(423,1)}
        41:{2,5}:{(20,1),(70,1),(74,1)}
        42:{1,3,6}:{(20,1),(21,1),(22,1),(74,1),(76,1)}
        43:{2,3,5,6}:{(21,1),(23,1),(72,1),(75,1),(77,1),(78,1),(81,1),(167,1),(175,1),(284,1),(285,1)}
        44:{2,3,7}:{(21,1),(24,1),(76,1),(286,1)}
        45:{1,5,6}:{(22,1),(23,1),(80,1),(146,1),(264,1)}
        46:{1,4,7}:{(22,1),(24,1),(76,1),(80,1)}
        47:{2,4,5,6}:{(23,1),(25,1),(77,1),(79,1),(81,1),(82,1),(148,1),(168,1),(175,1),(266,1),(284,1),(385,1),(386,1),(438,1)}
        48:{2,5,7}:{(23,1),(24,1),(26,1),(80,1),(83,1)}
        49:{1,4,5,7}:{(25,1),(26,1),(82,1),(84,1),(171,1),(290,1),(292,1)}
        50:{1,3,6,7}:{(26,1),(83,1),(84,1),(151,1),(178,1)}
        51:{2,3,4}:{(27,1),(32,1),(85,1),(110,1),(390,1)}
        52:{1,3,5}:{(27,1),(28,1),(85,1),(87,1),(88,1)}
        53:{2,3,6}:{(27,1),(29,1),(88,1),(90,1),(304,1)}
        54:{1,4,6}:{(28,1),(29,1),(88,1),(91,1),(92,1)}
        55:{2,5,6}:{(29,1),(30,1),(91,1),(94,1),(99,1),(206,1)}
        56:{2,4,7}:{(29,1),(31,1),(90,1),(92,1),(94,1),(187,1)}
        57:{1,4,5,6}:{(30,1),(93,1),(95,1),(101,1),(188,1),(207,1),(312,1),(397,1)}
        58:{1,3,5,7}:{(30,1),(31,1),(94,1),(95,1),(96,1),(196,1)}
        59:{1,4}:{(32,1),(34,1)}
        60:{2,4,6}:{(32,1),(33,1),(35,1),(98,1),(99,1),(100,1),(206,1)}
        61:{1,3,5}:{(33,1),(99,1),(101,1),(204,1)}
        62:{1,3,4,7}:{(33,1),(37,1),(100,1),(102,1),(108,1),(213,1)}
        63:{1,2,5}:{(34,1),(41,1),(87,1),(97,1),(103,1)}
        64:{1,3,6}:{(34,1),(35,1),(98,1),(103,1),(105,1)}
        65:{2,3,5,6}:{(35,1),(36,1),(99,1),(104,1),(106,1),(107,1),(116,1),(186,1),(204,1),(206,1),(216,1),(225,1),(295,1),(304,1),(321,1),(324,1),(325,1),(326,1),(334,1),(392,1),(410,1),(416,1),(418,1),(441,1),(443,1)}
        66:{2,3,7}:{(35,1),(37,1),(100,1),(105,1),(117,1),(187,1)}
        67:{1,4,6}:{(36,1),(101,1),(106,1),(108,1),(317,1)}
        68:{1,3,5,7}:{(36,1),(37,1),(38,1),(107,1),(108,1),(109,1),(215,1),(409,1),(413,1)}
        69:{1,2,6,7}:{(38,1),(109,1),(125,1),(195,1),(206,1),(227,1),(306,1),(320,1)}
        70:{2,4}:{(39,1),(41,1),(110,1)}
        71:{1,3,4,6}:{(39,1),(40,1),(42,1),(98,1),(111,1),(112,1),(113,1),(118,1),(199,1),(222,1),(225,1),(317,1),(328,1),(332,1),(341,1),(407,1),(414,1),(415,1)}
        72:{2,3,5}:{(40,1),(99,1),(112,1),(114,1),(204,1),(321,1),(441,1)}
        73:{2,3,4,7}:{(40,1),(44,1),(100,1),(113,1),(115,1),(121,1),(213,1),(296,1),(329,1),(342,1),(391,1)}
        74:{2,6}:{(41,1),(42,1),(117,1)}
        75:{1,3,5,6}:{(42,1),(43,1),(45,1),(112,1),(116,1),(118,1),(119,1),(222,1),(225,1),(233,1),(339,1),(341,1),(418,1)}
        76:{1,3,7}:{(42,1),(44,1),(46,1),(117,1)}
        77:{2,4,6}:{(43,1),(114,1),(118,1),(120,1),(121,1)}
        78:{2,3,5,7}:{(43,1),(44,1),(48,1),(119,1),(121,1),(122,1),(126,1),(232,1),(234,1),(342,1)}
        79:{1,4,5,6}:{(45,1),(47,1),(118,1),(123,1),(124,1),(202,1),(323,1),(339,1)}
        80:{1,5,7}:{(45,1),(46,1),(48,1),(125,1)}
        81:{3,5,6}:{(47,1),(120,1),(126,1),(204,1),(225,1),(324,1)}
        82:{2,4,5,7}:{(47,1),(48,1),(49,1),(121,1),(124,1),(126,1),(127,1),(226,1),(232,1),(234,1),(344,1),(346,1),(420,1)}
        83:{2,6,7}:{(48,1),(50,1),(125,1),(206,1)}
        84:{1,4,6,7}:{(49,1),(50,1),(127,1),(128,1),(207,1),(347,1)}
        85:{1,3,4}:{(51,1),(52,1),(59,1),(129,1),(144,1)}
        86:{2,3,4,6}:{(51,1),(53,1),(60,1),(130,1),(131,1),(132,1),(136,1),(156,1),(160,1),(245,1),(271,1),(276,1),(357,1),(382,1),(421,1)}
        87:{2,5}:{(52,1),(129,1),(133,1)}
        88:{1,3,6}:{(52,1),(53,1),(54,1),(133,1),(135,1)}
        89:{2,3,5,6}:{(53,1),(55,1),(131,1),(134,1),(136,1),(137,1),(140,1),(245,1),(253,1),(356,1),(357,1)}
        90:{2,3,7}:{(53,1),(56,1),(135,1),(358,1)}
        91:{1,5,6}:{(54,1),(55,1),(139,1),(146,1),(264,1)}
        92:{1,4,7}:{(54,1),(56,1),(135,1),(139,1)}
        93:{2,4,5,6}:{(55,1),(57,1),(136,1),(138,1),(140,1),(141,1),(148,1),(246,1),(253,1),(266,1),(356,1),(426,1),(427,1),(451,1)}
        94:{2,5,7}:{(55,1),(56,1),(58,1),(139,1),(142,1)}
        95:{1,4,5,7}:{(57,1),(58,1),(141,1),(143,1),(249,1),(362,1),(364,1)}
        96:{1,3,6,7}:{(58,1),(142,1),(143,1),(151,1),(256,1)}
        97:{1,2,4}:{(59,1),(63,1),(70,1),(129,1),(144,1)}
        98:{1,4,6}:{(59,1),(60,1),(64,1),(146,1),(147,1),(264,1)}
        99:{2,5}:{(60,1),(61,1),(146,1)}
       100:{2,4,7}:{(60,1),(62,1),(66,1),(147,1),(149,1)}
       101:{1,4,5}:{(61,1),(67,1),(148,1),(371,1),(432,1)}
       102:{1,3,5,7}:{(61,1),(62,1),(149,1),(150,1),(151,1),(265,1)}
       103:{1,2,6}:{(63,1),(64,1),(74,1),(133,1),(153,1)}
       104:{1,3,5,6}:{(64,1),(65,1),(146,1),(152,1),(154,1),(155,1),(258,1),(262,1),(264,1),(268,1),(369,1),(373,1),(374,1),(432,1)}
       105:{1,3,7}:{(64,1),(66,1),(147,1),(153,1)}
       106:{2,4,6}:{(65,1),(67,1),(148,1),(154,1),(156,1),(157,1),(276,1),(348,1),(438,1),(451,1)}
       107:{2,3,5,7}:{(65,1),(66,1),(68,1),(149,1),(155,1),(157,1),(158,1),(169,1),(247,1),(265,1),(275,1),(286,1),(358,1),(372,1),(377,1),(389,1),(430,1)}
       108:{1,4,7}:{(67,1),(68,1),(157,1)}
       109:{1,3,6,7}:{(68,1),(69,1),(151,1),(158,1),(159,1),(369,1),(434,1)}
       110:{2,3}:{(70,1),(144,1)}
       111:{2,4,6}:{(70,1),(71,1),(74,1),(160,1),(161,1),(162,1),(276,1),(280,1),(387,1),(436,1)}
       112:{1,3,5}:{(71,1),(72,1),(146,1),(161,1),(163,1),(278,1),(371,1),(432,1),(437,1)}
       113:{1,3,4,7}:{(71,1),(73,1),(76,1),(147,1),(162,1),(164,1),(171,1),(259,1),(286,1),(368,1),(378,1),(381,1),(388,1)}
       114:{2,4,5}:{(72,1),(77,1),(163,1),(165,1),(348,1)}
       115:{2,3,5,7}:{(72,1),(73,1),(149,1),(164,1),(166,1),(167,1),(265,1),(372,1)}
       116:{2,5,6}:{(74,1),(75,1),(161,1),(168,1),(169,1),(280,1),(387,1)}
       117:{2,7}:{(74,1),(76,1)}
       118:{1,4,6}:{(75,1),(77,1),(163,1),(168,1),(171,1),(438,1)}
       119:{1,3,5,7}:{(75,1),(76,1),(78,1),(80,1),(169,1),(171,1),(172,1),(286,1),(290,1),(292,1),(388,1),(389,1)}
       120:{3,4,6}:{(77,1),(81,1),(165,1),(173,1),(438,1)}
       121:{2,4,7}:{(77,1),(78,1),(171,1),(173,1)}
       122:{2,3,6,7}:{(78,1),(83,1),(167,1),(172,1),(174,1),(178,1),(293,1)}
       123:{1,3,5,6}:{(79,1),(81,1),(170,1),(175,1),(176,1),(262,1),(373,1)}
       124:{1,4,5,7}:{(79,1),(80,1),(82,1),(171,1),(176,1),(177,1),(290,1)}
       125:{1,6,7}:{(80,1),(83,1),(264,1)}
       126:{3,5,7}:{(81,1),(82,1),(173,1),(178,1),(286,1)}
       127:{2,4,6,7}:{(82,1),(83,1),(84,1),(177,1),(178,1),(179,1),(266,1),(293,1),(294,1)}
       128:{1,5,6,7}:{(84,1),(179,1),(267,1),(290,1)}
       129:{2,4}:{(85,1),(87,1),(180,1)}
       130:{1,3,4,6}:{(85,1),(86,1),(88,1),(98,1),(181,1),(182,1),(183,1),(188,1),(199,1),(301,1),(304,1),(317,1),(328,1),(390,1),(399,1),(407,1),(439,1),(440,1)}
       131:{2,3,5}:{(86,1),(99,1),(182,1),(184,1),(204,1),(321,1),(416,1)}
       132:{2,3,4,7}:{(86,1),(90,1),(100,1),(183,1),(185,1),(191,1),(213,1),(217,1),(329,1),(333,1),(400,1)}
       133:{2,6}:{(87,1),(88,1),(187,1)}
       134:{1,3,5,6}:{(88,1),(89,1),(91,1),(182,1),(186,1),(188,1),(189,1),(301,1),(304,1),(312,1),(397,1),(399,1),(443,1)}
       135:{1,3,7}:{(88,1),(90,1),(92,1),(187,1)}
       136:{2,4,6}:{(89,1),(184,1),(188,1),(190,1),(191,1)}
       137:{2,3,5,7}:{(89,1),(90,1),(94,1),(189,1),(191,1),(192,1),(196,1),(311,1),(313,1),(400,1)}
       138:{1,4,5,6}:{(91,1),(93,1),(188,1),(193,1),(194,1),(202,1),(323,1),(397,1)}
       139:{1,5,7}:{(91,1),(92,1),(94,1),(195,1)}
       140:{3,5,6}:{(93,1),(190,1),(196,1),(204,1),(304,1),(324,1)}
       141:{2,4,5,7}:{(93,1),(94,1),(95,1),(191,1),(194,1),(196,1),(197,1),(305,1),(311,1),(313,1),(402,1),(404,1),(445,1)}
       142:{2,6,7}:{(94,1),(96,1),(195,1),(206,1)}
       143:{1,4,6,7}:{(95,1),(96,1),(197,1),(198,1),(207,1),(405,1)}
       144:{1,3}:{(97,1),(110,1),(180,1)}
       145:{1,2,4,6}:{(97,1),(98,1),(103,1),(111,1),(181,1),(199,1),(200,1),(201,1),(317,1),(320,1),(328,1),(407,1),(412,1),(446,1)}
       146:{1,5}:{(98,1),(99,1)}
       147:{1,4,7}:{(98,1),(100,1),(105,1),(203,1)}
       148:{2,4,5}:{(99,1),(101,1),(106,1),(202,1),(204,1),(321,1),(416,1),(441,1),(448,1),(454,1)}
       149:{2,5,7}:{(99,1),(100,1),(102,1),(203,1),(206,1)}
       150:{1,4,5,7}:{(101,1),(102,1),(108,1),(205,1),(207,1),(215,1),(409,1)}
       151:{1,3,6}:{(102,1),(206,1),(207,1),(324,1)}
       152:{1,2,5,6}:{(103,1),(104,1),(116,1),(186,1),(200,1),(208,1),(209,1),(233,1),(312,1),(320,1),(321,1),(410,1)}
       153:{1,2,7}:{(103,1),(105,1),(117,1),(187,1)}
       154:{1,4,6}:{(104,1),(106,1),(202,1),(211,1),(317,1)}
       155:{1,3,5,7}:{(104,1),(105,1),(107,1),(203,1),(209,1),(211,1),(212,1),(327,1),(330,1)}
       156:{3,4,6}:{(106,1),(204,1),(213,1),(225,1),(304,1),(324,1),(332,1),(390,1)}
       157:{2,4,7}:{(106,1),(107,1),(108,1),(211,1),(213,1),(420,1),(445,1)}
       158:{2,3,6,7}:{(107,1),(109,1),(206,1),(212,1),(214,1),(227,1),(306,1),(324,1),(334,1),(343,1),(392,1),(401,1),(410,1)}
       159:{1,4,6,7}:{(108,1),(109,1),(207,1),(214,1),(215,1),(407,1)}
       160:{2,3,6}:{(110,1),(111,1),(199,1),(216,1),(217,1),(225,1),(447,1)}
       161:{2,5}:{(111,1),(112,1)}
       162:{2,4,7}:{(111,1),(113,1),(117,1),(217,1),(219,1),(419,1)}
       163:{1,4,5}:{(112,1),(114,1),(118,1),(218,1),(317,1),(448,1)}
       164:{1,3,5,7}:{(112,1),(113,1),(115,1),(203,1),(219,1),(221,1),(222,1),(336,1),(409,1)}
       165:{3,4,5}:{(114,1),(120,1),(204,1),(390,1),(448,1)}
       166:{2,4,5,7}:{(114,1),(115,1),(121,1),(221,1),(223,1),(224,1),(232,1),(391,1),(441,1)}
       167:{2,3,6}:{(115,1),(206,1),(222,1),(224,1),(324,1),(410,1)}
       168:{2,4,6}:{(116,1),(118,1),(218,1),(225,1),(226,1)}
       169:{2,5,7}:{(116,1),(117,1),(119,1),(226,1),(227,1),(419,1)}
       170:{1,3,4,6}:{(118,1),(120,1),(123,1),(220,1),(225,1),(228,1),(229,1),(341,1)}
       171:{1,4,7}:{(118,1),(119,1),(121,1),(226,1),(420,1)}
       172:{1,3,6,7}:{(119,1),(122,1),(125,1),(222,1),(227,1),(230,1),(343,1),(347,1)}
       173:{3,4,7}:{(120,1),(121,1),(126,1),(420,1)}
       174:{2,4,6,7}:{(121,1),(122,1),(224,1),(230,1),(231,1),(232,1)}
       175:{2,5,6}:{(123,1),(228,1),(233,1),(234,1),(321,1),(410,1)}
       176:{1,3,5,7}:{(123,1),(124,1),(126,1),(229,1),(234,1),(235,1)}
       177:{1,4,6,7}:{(124,1),(125,1),(127,1),(235,1),(236,1),(323,1)}
       178:{3,6,7}:{(126,1),(127,1),(324,1)}
       179:{2,5,6,7}:{(127,1),(128,1),(232,1),(236,1),(237,1),(325,1),(344,1)}
       180:{2,3}:{(129,1),(144,1)}
       181:{2,4,6}:{(129,1),(130,1),(133,1),(238,1),(239,1),(240,1),(348,1),(352,1),(428,1),(449,1)}
       182:{1,3,5}:{(130,1),(131,1),(146,1),(239,1),(241,1),(350,1),(371,1),(432,1),(450,1)}
       183:{1,3,4,7}:{(130,1),(132,1),(135,1),(147,1),(240,1),(242,1),(249,1),(259,1),(358,1),(368,1),(378,1),(422,1),(429,1)}
       184:{2,4,5}:{(131,1),(136,1),(241,1),(243,1),(276,1)}
       185:{2,3,5,7}:{(131,1),(132,1),(149,1),(242,1),(244,1),(245,1),(265,1),(372,1)}
       186:{2,5,6}:{(133,1),(134,1),(239,1),(246,1),(247,1),(352,1),(428,1)}
       187:{2,7}:{(133,1),(135,1)}
       188:{1,4,6}:{(134,1),(136,1),(241,1),(246,1),(249,1),(451,1)}
       189:{1,3,5,7}:{(134,1),(135,1),(137,1),(139,1),(247,1),(249,1),(250,1),(358,1),(362,1),(364,1),(429,1),(430,1)}
       190:{3,4,6}:{(136,1),(140,1),(243,1),(251,1),(451,1)}
       191:{2,4,7}:{(136,1),(137,1),(249,1),(251,1)}
       192:{2,3,6,7}:{(137,1),(142,1),(245,1),(250,1),(252,1),(256,1),(365,1)}
       193:{1,3,5,6}:{(138,1),(140,1),(248,1),(253,1),(254,1),(262,1),(373,1)}
       194:{1,4,5,7}:{(138,1),(139,1),(141,1),(249,1),(254,1),(255,1),(362,1)}
       195:{1,6,7}:{(139,1),(142,1),(264,1)}
       196:{3,5,7}:{(140,1),(141,1),(251,1),(256,1),(358,1)}
       197:{2,4,6,7}:{(141,1),(142,1),(143,1),(255,1),(256,1),(257,1),(266,1),(365,1),(366,1)}
       198:{1,5,6,7}:{(143,1),(257,1),(267,1),(362,1)}
       199:{1,3,6}:{(144,1),(145,1),(160,1),(238,1),(258,1),(259,1),(452,1)}
       200:{1,2,5}:{(145,1),(146,1),(161,1),(239,1),(258,1),(371,1),(432,1)}
       201:{1,2,4,7}:{(145,1),(147,1),(153,1),(162,1),(240,1),(259,1),(261,1),(368,1),(378,1),(435,1)}
       202:{1,4,5}:{(146,1),(148,1),(154,1),(262,1),(432,1)}
       203:{1,5,7}:{(146,1),(147,1),(149,1),(264,1)}
       204:{3,5}:{(148,1),(156,1)}
       205:{2,4,5,7}:{(148,1),(149,1),(150,1),(157,1),(263,1),(265,1),(266,1),(275,1),(372,1),(379,1)}
       206:{2,6}:{(149,1),(151,1),(264,1)}
       207:{1,4,6}:{(150,1),(151,1),(266,1),(267,1),(434,1)}
       208:{1,2,4,6}:{(152,1),(154,1),(168,1),(246,1),(260,1),(268,1),(269,1),(271,1),(288,1),(360,1),(387,1),(428,1)}
       209:{1,2,5,7}:{(152,1),(153,1),(155,1),(169,1),(247,1),(269,1),(270,1),(292,1),(364,1),(372,1)}
       210:{1,3,4,6}:{(154,1),(156,1),(262,1),(268,1),(271,1),(272,1),(367,1),(373,1)}
       211:{1,4,7}:{(154,1),(155,1),(157,1)}
       212:{1,3,6,7}:{(155,1),(158,1),(264,1),(270,1),(273,1),(369,1),(373,1)}
       213:{3,4,7}:{(156,1),(157,1),(265,1),(286,1),(358,1)}
       214:{2,4,6,7}:{(157,1),(158,1),(159,1),(266,1),(273,1),(274,1),(275,1),(382,1),(423,1)}
       215:{1,5,7}:{(159,1),(267,1),(275,1),(432,1)}
       216:{2,3,5}:{(160,1),(161,1),(258,1),(276,1),(278,1)}
       217:{2,3,7}:{(160,1),(162,1),(259,1),(286,1)}
       218:{2,4,5}:{(161,1),(163,1),(168,1),(276,1),(278,1)}
       219:{2,5,7}:{(161,1),(162,1),(164,1),(280,1)}
       220:{1,3,4,5}:{(163,1),(165,1),(170,1),(262,1),(278,1),(281,1),(367,1),(383,1)}
       221:{1,4,5,7}:{(163,1),(164,1),(166,1),(171,1),(279,1),(282,1),(290,1),(368,1),(432,1)}
       222:{1,3,6}:{(164,1),(167,1),(264,1),(280,1),(282,1),(384,1),(434,1)}
       223:{3,4,5,7}:{(165,1),(166,1),(173,1),(265,1),(283,1),(291,1),(379,1),(422,1),(450,1)}
       224:{2,4,6}:{(166,1),(167,1),(282,1),(283,1),(284,1)}
       225:{3,6}:{(168,1),(278,1),(286,1)}
       226:{2,4,7}:{(168,1),(169,1),(171,1),(286,1)}
       227:{2,6,7}:{(169,1),(172,1),(280,1)}
       228:{2,4,6}:{(170,1),(175,1),(281,1),(285,1),(288,1),(289,1),(387,1)}
       229:{1,3,4,7}:{(170,1),(171,1),(173,1),(176,1),(286,1),(289,1),(388,1)}
       230:{1,4,6,7}:{(171,1),(172,1),(174,1),(282,1),(287,1),(290,1)}
       231:{3,4,6,7}:{(173,1),(174,1),(178,1),(283,1),(291,1),(294,1)}
       232:{2,5,7}:{(174,1),(284,1),(290,1),(291,1)}
       233:{1,5,6}:{(175,1),(288,1),(292,1),(371,1),(434,1)}
       234:{2,5,7}:{(175,1),(176,1),(289,1),(292,1),(293,1)}
       235:{1,3,6,7}:{(176,1),(177,1),(178,1),(293,1),(373,1)}
       236:{1,5,6,7}:{(177,1),(179,1),(290,1),(374,1)}
       237:{3,5,6,7}:{(178,1),(179,1),(291,1),(294,1),(375,1),(389,1)}
       238:{2,3,6}:{(180,1),(181,1),(199,1),(295,1),(296,1),(304,1),(453,1)}
       239:{2,5}:{(181,1),(182,1)}
       240:{2,4,7}:{(181,1),(183,1),(187,1),(296,1),(298,1),(444,1)}
       241:{1,4,5}:{(182,1),(184,1),(188,1),(297,1),(317,1),(454,1)}
       242:{1,3,5,7}:{(182,1),(183,1),(185,1),(203,1),(298,1),(300,1),(301,1),(394,1),(409,1)}
       243:{3,4,5}:{(184,1),(190,1),(204,1),(332,1),(454,1)}
       244:{2,4,5,7}:{(184,1),(185,1),(191,1),(300,1),(302,1),(303,1),(311,1),(333,1),(416,1)}
       245:{2,3,6}:{(185,1),(206,1),(301,1),(303,1),(324,1),(410,1)}
       246:{2,4,6}:{(186,1),(188,1),(297,1),(304,1),(305,1)}
       247:{2,5,7}:{(186,1),(187,1),(189,1),(305,1),(306,1),(444,1)}
       248:{1,3,4,6}:{(188,1),(190,1),(193,1),(299,1),(304,1),(307,1),(308,1),(399,1)}
       249:{1,4,7}:{(188,1),(189,1),(191,1),(305,1),(445,1)}
       250:{1,3,6,7}:{(189,1),(192,1),(195,1),(301,1),(306,1),(309,1),(401,1),(405,1)}
       251:{3,4,7}:{(190,1),(191,1),(196,1),(445,1)}
       252:{2,4,6,7}:{(191,1),(192,1),(303,1),(309,1),(310,1),(311,1)}
       253:{2,5,6}:{(193,1),(307,1),(312,1),(313,1),(321,1),(410,1)}
       254:{1,3,5,7}:{(193,1),(194,1),(196,1),(308,1),(313,1),(314,1)}
       255:{1,4,6,7}:{(194,1),(195,1),(197,1),(314,1),(315,1),(323,1)}
       256:{3,6,7}:{(196,1),(197,1),(324,1)}
       257:{2,5,6,7}:{(197,1),(198,1),(311,1),(315,1),(316,1),(325,1),(402,1)}
       258:{1,3,5}:{(199,1),(200,1),(216,1),(295,1),(317,1)}
       259:{1,3,7}:{(199,1),(201,1),(217,1),(296,1)}
       260:{1,2,4,5}:{(200,1),(202,1),(208,1),(218,1),(297,1),(317,1),(319,1),(321,1),(338,1),(396,1),(406,1),(417,1),(442,1),(446,1)}
       261:{1,2,5,7}:{(200,1),(201,1),(203,1),(219,1),(298,1),(318,1),(320,1),(409,1)}
       262:{1,3,5}:{(202,1),(204,1),(210,1),(321,1)}
       263:{1,4,5,7}:{(202,1),(203,1),(205,1),(211,1),(322,1),(323,1),(330,1)}
       264:{1,6}:{(203,1),(206,1)}
       265:{3,5,7}:{(204,1),(205,1),(213,1),(324,1)}
       266:{2,4,6}:{(205,1),(206,1),(207,1),(323,1),(324,1),(325,1),(410,1),(411,1)}
       267:{1,5,6}:{(207,1),(215,1),(325,1)}
       268:{1,3,6}:{(208,1),(225,1),(304,1),(319,1),(326,1),(327,1)}
       269:{1,2,4,7}:{(208,1),(209,1),(211,1),(226,1),(305,1),(327,1),(329,1),(345,1),(403,1),(419,1),(444,1)}
       270:{1,2,6,7}:{(209,1),(212,1),(227,1),(306,1),(320,1),(347,1),(405,1),(410,1)}
       271:{2,4,6}:{(210,1),(321,1),(326,1),(328,1),(329,1),(406,1),(410,1)}
       272:{1,3,4,7}:{(210,1),(211,1),(213,1),(322,1),(327,1),(329,1)}
       273:{1,4,6,7}:{(211,1),(212,1),(214,1),(323,1),(330,1),(407,1)}
       274:{3,4,6,7}:{(213,1),(214,1),(324,1),(331,1),(343,1),(401,1),(411,1),(415,1),(420,1),(440,1),(445,1)}
       275:{2,5,7}:{(214,1),(215,1),(325,1),(330,1),(331,1),(416,1),(441,1)}
       276:{2,4}:{(216,1),(317,1),(332,1)}
       277:{2,3,5,7}:{(216,1),(217,1),(219,1),(318,1),(333,1),(334,1),(336,1),(416,1)}
       278:{3,5}:{(218,1),(225,1),(332,1)}
       279:{2,4,5,7}:{(218,1),(219,1),(221,1),(226,1),(333,1),(336,1),(337,1),(344,1),(416,1),(420,1),(448,1)}
       280:{2,6}:{(219,1),(222,1)}
       281:{2,4,5}:{(220,1),(228,1),(321,1),(335,1),(338,1),(406,1),(417,1)}
       282:{1,4,6}:{(221,1),(222,1),(224,1),(337,1),(339,1)}
       283:{3,4,6}:{(223,1),(224,1),(324,1),(340,1),(411,1)}
       284:{2,5,6}:{(224,1),(232,1),(339,1),(340,1),(441,1)}
       285:{2,3,6}:{(225,1),(228,1),(335,1),(341,1),(342,1)}
       286:{3,7}:{(225,1),(226,1)}
       287:{2,4,6,7}:{(226,1),(227,1),(230,1),(337,1),(343,1),(344,1),(420,1)}
       288:{1,4,6}:{(228,1),(233,1),(338,1),(341,1),(345,1)}
       289:{2,4,7}:{(228,1),(229,1),(234,1),(342,1),(345,1),(419,1)}
       290:{1,5,7}:{(230,1),(232,1),(339,1),(344,1)}
       291:{3,5,7}:{(231,1),(232,1),(340,1),(346,1)}
       292:{1,5,7}:{(233,1),(234,1),(345,1),(347,1)}
       293:{2,6,7}:{(234,1),(235,1),(347,1),(410,1)}
       294:{4,6,7}:{(237,1),(346,1),(411,1),(420,1)}
       295:{2,3,5}:{(238,1),(239,1),(258,1),(348,1),(350,1)}
       296:{2,3,7}:{(238,1),(240,1),(259,1),(358,1)}
       297:{2,4,5}:{(239,1),(241,1),(246,1),(348,1),(350,1)}
       298:{2,5,7}:{(239,1),(240,1),(242,1),(352,1)}
       299:{1,3,4,5}:{(241,1),(243,1),(248,1),(262,1),(350,1),(353,1),(367,1),(424,1)}
       300:{1,4,5,7}:{(241,1),(242,1),(244,1),(249,1),(351,1),(354,1),(362,1),(368,1),(432,1)}
       301:{1,3,6}:{(242,1),(245,1),(264,1),(352,1),(354,1),(425,1),(434,1)}
       302:{3,4,5,7}:{(243,1),(244,1),(251,1),(265,1),(355,1),(363,1),(379,1),(381,1),(437,1)}
       303:{2,4,6}:{(244,1),(245,1),(354,1),(355,1),(356,1)}
       304:{3,6}:{(246,1),(350,1),(358,1)}
       305:{2,4,7}:{(246,1),(247,1),(249,1),(358,1)}
       306:{2,6,7}:{(247,1),(250,1),(352,1)}
       307:{2,4,6}:{(248,1),(253,1),(353,1),(357,1),(360,1),(361,1),(428,1)}
       308:{1,3,4,7}:{(248,1),(249,1),(251,1),(254,1),(358,1),(361,1),(429,1)}
       309:{1,4,6,7}:{(249,1),(250,1),(252,1),(354,1),(359,1),(362,1)}
       310:{3,4,6,7}:{(251,1),(252,1),(256,1),(355,1),(363,1),(366,1)}
       311:{2,5,7}:{(252,1),(356,1),(362,1),(363,1)}
       312:{1,5,6}:{(253,1),(360,1),(364,1),(371,1),(434,1)}
       313:{2,5,7}:{(253,1),(254,1),(361,1),(364,1),(365,1)}
       314:{1,3,6,7}:{(254,1),(255,1),(256,1),(365,1),(373,1)}
       315:{1,5,6,7}:{(255,1),(257,1),(362,1),(374,1)}
       316:{3,5,6,7}:{(256,1),(257,1),(363,1),(366,1),(375,1),(430,1)}
       317:{1,4}:{(258,1),(276,1),(348,1)}
       318:{1,3,5,7}:{(258,1),(259,1),(261,1),(277,1),(349,1),(368,1),(369,1),(432,1)}
       319:{1,3,5}:{(260,1),(268,1),(278,1),(350,1),(367,1),(370,1),(452,1)}
       320:{1,2,6}:{(261,1),(264,1),(280,1),(352,1),(369,1),(434,1)}
       321:{2,5}:{(262,1),(271,1),(371,1)}
       322:{1,3,5,7}:{(262,1),(263,1),(265,1),(272,1),(372,1),(373,1)}
       323:{1,4,6}:{(263,1),(264,1),(266,1),(373,1),(374,1)}
       324:{3,6}:{(265,1),(266,1)}
       325:{2,5,6}:{(266,1),(267,1),(275,1),(374,1),(375,1)}
       326:{2,3,6}:{(268,1),(271,1),(370,1),(376,1),(377,1),(387,1),(428,1)}
       327:{1,3,7}:{(268,1),(269,1),(286,1),(358,1),(377,1)}
       328:{1,4,6}:{(271,1),(371,1),(376,1),(378,1),(431,1),(434,1)}
       329:{2,4,7}:{(271,1),(272,1),(372,1),(377,1),(378,1)}
       330:{1,5,7}:{(273,1),(275,1),(374,1),(432,1)}
       331:{3,5,7}:{(274,1),(275,1),(375,1),(379,1),(437,1),(450,1)}
       332:{3,4}:{(276,1),(278,1)}
       333:{2,4,7}:{(276,1),(277,1),(368,1),(381,1),(382,1)}
       334:{2,3,6}:{(277,1),(280,1),(369,1),(382,1),(384,1)}
       335:{2,3,5}:{(278,1),(281,1),(285,1),(380,1),(383,1)}
       336:{3,5,7}:{(278,1),(279,1),(286,1),(381,1),(384,1),(437,1)}
       337:{2,4,6}:{(279,1),(280,1),(282,1),(384,1),(385,1),(438,1)}
       338:{1,4,5}:{(281,1),(288,1),(371,1),(383,1),(431,1)}
       339:{1,5,6}:{(282,1),(284,1),(290,1),(385,1),(432,1)}
       340:{3,5,6}:{(283,1),(284,1),(291,1),(386,1),(450,1)}
       341:{1,3,6}:{(285,1),(288,1),(383,1),(387,1),(388,1)}
       342:{2,3,7}:{(285,1),(286,1),(289,1),(388,1)}
       343:{3,6,7}:{(286,1),(287,1),(384,1),(389,1)}
       344:{2,5,7}:{(287,1),(290,1),(385,1),(389,1)}
       345:{1,4,7}:{(288,1),(289,1),(292,1),(388,1)}
       346:{4,5,7}:{(291,1),(294,1),(386,1)}
       347:{1,6,7}:{(292,1),(293,1),(434,1)}
       348:{2,4}:{(295,1),(317,1),(390,1)}
       349:{2,3,5,7}:{(295,1),(296,1),(298,1),(318,1),(391,1),(392,1),(394,1),(441,1)}
       350:{3,5}:{(297,1),(304,1),(390,1)}
       351:{2,4,5,7}:{(297,1),(298,1),(300,1),(305,1),(391,1),(394,1),(395,1),(402,1),(441,1),(445,1),(454,1)}
       352:{2,6}:{(298,1),(301,1)}
       353:{2,4,5}:{(299,1),(307,1),(321,1),(393,1),(396,1),(406,1),(442,1)}
       354:{1,4,6}:{(300,1),(301,1),(303,1),(395,1),(397,1)}
       355:{3,4,6}:{(302,1),(303,1),(324,1),(398,1),(411,1)}
       356:{2,5,6}:{(303,1),(311,1),(397,1),(398,1),(416,1)}
       357:{2,3,6}:{(304,1),(307,1),(393,1),(399,1),(400,1)}
       358:{3,7}:{(304,1),(305,1)}
       359:{2,4,6,7}:{(305,1),(306,1),(309,1),(395,1),(401,1),(402,1),(445,1)}
       360:{1,4,6}:{(307,1),(312,1),(396,1),(399,1),(403,1)}
       361:{2,4,7}:{(307,1),(308,1),(313,1),(400,1),(403,1),(444,1)}
       362:{1,5,7}:{(309,1),(311,1),(397,1),(402,1)}
       363:{3,5,7}:{(310,1),(311,1),(398,1),(404,1)}
       364:{1,5,7}:{(312,1),(313,1),(403,1),(405,1)}
       365:{2,6,7}:{(313,1),(314,1),(405,1),(410,1)}
       366:{4,6,7}:{(316,1),(404,1),(411,1),(445,1)}
       367:{1,3,4}:{(317,1),(319,1),(332,1),(390,1),(406,1)}
       368:{1,4,7}:{(317,1),(318,1),(333,1),(391,1),(407,1)}
       369:{1,3,6}:{(318,1),(320,1),(334,1),(392,1),(407,1)}
       370:{2,3,5}:{(319,1),(321,1),(326,1),(406,1),(408,1),(417,1),(442,1),(447,1),(453,1)}
       371:{1,5}:{(321,1),(328,1)}
       372:{2,5,7}:{(321,1),(322,1),(329,1),(409,1),(410,1)}
       373:{1,3,6}:{(322,1),(323,1),(324,1),(410,1)}
       374:{1,5,6}:{(323,1),(325,1),(330,1)}
       375:{3,5,6}:{(324,1),(325,1),(331,1),(411,1)}
       376:{1,3,6}:{(326,1),(328,1),(408,1),(412,1),(413,1)}
       377:{2,3,7}:{(326,1),(327,1),(329,1),(413,1),(419,1),(444,1)}
       378:{1,4,7}:{(328,1),(329,1),(409,1),(413,1)}
       379:{4,5,7}:{(331,1),(411,1),(420,1),(445,1),(448,1),(454,1)}
       380:{2,3,4}:{(332,1),(335,1),(406,1),(414,1),(453,1)}
       381:{3,4,7}:{(332,1),(333,1),(336,1),(415,1),(420,1)}
       382:{2,4,6}:{(333,1),(334,1),(407,1),(415,1),(416,1)}
       383:{1,3,5}:{(335,1),(338,1),(341,1),(414,1),(417,1)}
       384:{3,6}:{(336,1),(337,1)}
       385:{2,5,6}:{(337,1),(339,1),(344,1),(416,1),(418,1)}
       386:{4,5,6}:{(340,1),(346,1),(411,1),(454,1)}
       387:{2,6}:{(341,1),(417,1),(419,1)}
       388:{1,3,7}:{(341,1),(342,1),(345,1),(419,1)}
       389:{3,5,7}:{(343,1),(344,1),(418,1),(420,1)}
       390:{3,4}:{(348,1),(350,1)}
       391:{2,4,7}:{(348,1),(349,1),(368,1),(422,1),(423,1)}
       392:{2,3,6}:{(349,1),(352,1),(369,1),(423,1),(425,1)}
       393:{2,3,5}:{(350,1),(353,1),(357,1),(421,1),(424,1)}
       394:{3,5,7}:{(350,1),(351,1),(358,1),(422,1),(425,1),(450,1)}
       395:{2,4,6}:{(351,1),(352,1),(354,1),(425,1),(426,1),(451,1)}
       396:{1,4,5}:{(353,1),(360,1),(371,1),(424,1),(431,1)}
       397:{1,5,6}:{(354,1),(356,1),(362,1),(426,1),(432,1)}
       398:{3,5,6}:{(355,1),(356,1),(363,1),(427,1),(437,1)}
       399:{1,3,6}:{(357,1),(360,1),(424,1),(428,1),(429,1)}
       400:{2,3,7}:{(357,1),(358,1),(361,1),(429,1)}
       401:{3,6,7}:{(358,1),(359,1),(425,1),(430,1)}
       402:{2,5,7}:{(359,1),(362,1),(426,1),(430,1)}
       403:{1,4,7}:{(360,1),(361,1),(364,1),(429,1)}
       404:{4,5,7}:{(363,1),(366,1),(427,1)}
       405:{1,6,7}:{(364,1),(365,1),(434,1)}
       406:{2,4}:{(367,1),(370,1),(431,1)}
       407:{1,4,6}:{(368,1),(369,1),(382,1),(423,1),(432,1)}
       408:{1,3,5}:{(370,1),(371,1),(376,1),(431,1),(433,1),(452,1)}
       409:{1,5,7}:{(371,1),(372,1),(378,1),(434,1)}
       410:{2,6}:{(372,1),(373,1),(434,1)}
       411:{4,6}:{(375,1),(379,1)}
       412:{1,2,6}:{(376,1),(387,1),(428,1),(433,1),(435,1)}
       413:{1,3,7}:{(376,1),(377,1),(378,1),(435,1)}
       414:{1,3,4}:{(380,1),(383,1),(431,1),(436,1),(452,1)}
       415:{3,4,6}:{(381,1),(382,1),(384,1),(437,1),(438,1)}
       416:{2,5}:{(382,1),(432,1),(437,1)}
       417:{2,5}:{(383,1),(387,1),(436,1)}
       418:{3,5,6}:{(384,1),(385,1),(389,1),(437,1),(438,1)}
       419:{2,7}:{(387,1),(388,1)}
       420:{4,7}:{(389,1),(438,1)}
       421:{2,3,4}:{(390,1),(393,1),(406,1),(439,1),(447,1)}
       422:{3,4,7}:{(390,1),(391,1),(394,1),(440,1),(445,1)}
       423:{2,4,6}:{(391,1),(392,1),(407,1),(440,1),(441,1)}
       424:{1,3,5}:{(393,1),(396,1),(399,1),(439,1),(442,1)}
       425:{3,6}:{(394,1),(395,1)}
       426:{2,5,6}:{(395,1),(397,1),(402,1),(441,1),(443,1)}
       427:{4,5,6}:{(398,1),(404,1),(411,1),(448,1)}
       428:{2,6}:{(399,1),(442,1),(444,1)}
       429:{1,3,7}:{(399,1),(400,1),(403,1),(444,1)}
       430:{3,5,7}:{(401,1),(402,1),(443,1),(445,1)}
       431:{1,4}:{(406,1),(408,1)}
       432:{1,5}:{(407,1),(416,1),(441,1)}
       433:{1,2,5}:{(408,1),(412,1),(417,1),(442,1),(446,1)}
       434:{1,6}:{(409,1),(410,1)}
       435:{1,2,7}:{(412,1),(413,1),(419,1),(444,1)}
       436:{2,4}:{(414,1),(417,1),(447,1)}
       437:{3,5}:{(415,1),(416,1),(448,1)}
       438:{4,6}:{(418,1),(420,1),(448,1)}
       439:{1,3,4}:{(421,1),(424,1),(431,1),(449,1),(452,1)}
       440:{3,4,6}:{(422,1),(423,1),(425,1),(450,1),(451,1)}
       441:{2,5}:{(423,1),(432,1),(450,1)}
       442:{2,5}:{(424,1),(428,1),(449,1)}
       443:{3,5,6}:{(425,1),(426,1),(430,1),(450,1),(451,1)}
       444:{2,7}:{(428,1),(429,1)}
       445:{4,7}:{(430,1),(451,1)}
       446:{1,2,4}:{(431,1),(433,1),(436,1),(449,1),(452,1)}
       447:{2,3}:{(436,1),(452,1)}
       448:{4,5}:{(437,1),(438,1)}
       449:{2,4}:{(439,1),(442,1),(453,1)}
       450:{3,5}:{(440,1),(441,1),(454,1)}
       451:{4,6}:{(443,1),(445,1),(454,1)}
       452:{1,3}:{(446,1),(447,1),(453,1)}
       453:{2,3}:{(449,1),(452,1)}
       454:{4,5}:{(450,1),(451,1)}

1081 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1082 :   0:{2,3,4,6,7}:{(1,1),(2,1),(16,1),(34,1),(46,1),(85,1),(99,1),(102,1),(104,1),(142,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(22,1),(29,1),(65,1),(73,1),(75,1),(121,1),(128,1),(131,1),(134,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(71,1),(127,1),(169,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(12,1),(38,1),(48,1),(83,1),(101,1),(140,1),(143,1),(145,1),(150,1),(241,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(48,1),(49,1),(150,1),(161,1),(164,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(50,1),(149,1),(157,1),(201,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(54,1),(104,1),(106,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(85,1),(141,1)}
         8:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(22,1),(60,1),(65,1),(113,1),(115,1),(121,1),(168,1),(171,1),(174,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(111,1),(129,1),(167,1),(177,1)}
        10:{1,2,4,6,7}:{(4,1),(18,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(6,1),(24,1),(25,1),(71,1),(126,1),(127,1)}
        12:{2,3,6,7}:{(4,1),(22,1),(26,1),(75,1),(123,1),(187,1),(212,1)}
        13:{2,5,7}:{(4,1),(5,1),(27,1),(177,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(27,1),(29,1),(75,1),(134,1),(136,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(65,1),(120,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(32,1)}
        17:{3,4,5,7}:{(7,1),(32,1),(71,1),(113,1),(169,1)}
        18:{2,4,6,7}:{(8,1),(34,1),(35,1),(85,1),(86,1),(150,1),(197,1),(200,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(35,1),(36,1),(37,1),(87,1),(149,1),(193,1),(201,1)}
        20:{2,3,5,6}:{(9,1),(36,1),(38,1),(91,1),(145,1),(147,1)}
        21:{2,4,5,7}:{(9,1),(37,1),(38,1),(39,1),(48,1),(100,1)}
        22:{1,3,6,7}:{(10,1),(12,1),(34,1),(40,1),(94,1),(152,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(13,1),(35,1),(40,1),(41,1),(157,1),(193,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(14,1),(43,1),(44,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(16,1),(44,1),(45,1),(46,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(50,1),(226,1),(241,1)}
        27:{2,5,6}:{(13,1),(14,1),(49,1),(164,1)}
        28:{2,4,5,7}:{(13,1),(15,1),(48,1),(49,1),(50,1),(100,1)}
        29:{1,4,6}:{(14,1),(15,1),(16,1),(49,1)}
        30:{1,3,4,5,7}:{(15,1),(17,1),(50,1),(52,1),(53,1),(93,1),(98,1),(105,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        31:{2,4,5,6}:{(16,1),(45,1),(51,1),(54,1),(106,1),(141,1),(209,1)}
        32:{3,4,6}:{(16,1),(17,1),(54,1)}
        33:{2,3,5,6,7}:{(20,1),(55,1),(56,1),(111,1),(166,1),(167,1)}
        34:{2,3,6,7}:{(18,1),(22,1),(57,1),(115,1),(123,1),(183,1),(216,1)}
        35:{2,5,7}:{(18,1),(19,1),(58,1),(177,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(58,1),(60,1),(115,1),(174,1),(176,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(59,1),(60,1),(65,1),(120,1)}
        38:{2,4,6}:{(20,1),(21,1),(60,1),(63,1)}
        39:{3,4,5,7}:{(21,1),(63,1),(73,1),(111,1),(129,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(26,1),(57,1),(64,1),(65,1)}
        41:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(66,1),(136,1),(176,1),(177,1),(180,1),(189,1),(218,1),(219,1)}
        42:{1,2,4,5,7}:{(23,1),(28,1),(59,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(122,1),(135,1),(175,1),(177,1),(179,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,5,6,7}:{(24,1),(27,1),(68,1),(127,1),(183,1)}
        44:{1,4,6,7}:{(24,1),(25,1),(29,1),(68,1),(69,1)}
        45:{2,4,5,7}:{(25,1),(31,1),(69,1),(71,1),(127,1),(221,1)}
        46:{3,4,6,7}:{(25,1),(32,1),(71,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(64,1),(72,1),(75,1),(123,1),(129,1),(177,1),(218,1),(237,1),(238,1)}
        48:{2,4,7}:{(26,1),(65,1),(72,1),(73,1)}
        49:{2,4,6}:{(27,1),(28,1),(29,1),(75,1)}
        50:{3,5,7}:{(28,1),(73,1),(75,1),(129,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(69,1),(74,1),(77,1),(120,1),(136,1),(188,1)}
        52:{1,3,4,6}:{(29,1),(30,1),(32,1),(75,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        53:{2,4,5,7}:{(30,1),(76,1),(78,1),(79,1),(122,1),(127,1),(135,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        54:{3,5,6}:{(31,1),(32,1),(71,1),(169,1),(224,1)}
        55:{1,3,5,6,7}:{(33,1),(36,1),(80,1),(81,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(38,1),(81,1),(82,1),(83,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(40,1),(84,1),(85,1),(87,1),(205,1),(232,1)}
        58:{2,5,6}:{(35,1),(36,1),(86,1),(200,1)}
        59:{2,4,5,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(141,1)}
        60:{1,4,6}:{(36,1),(37,1),(38,1),(86,1)}
        61:{1,3,4,5,7}:{(37,1),(39,1),(87,1),(89,1),(90,1),(93,1),(139,1),(146,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        62:{2,4,5,6}:{(38,1),(82,1),(88,1),(91,1),(100,1),(147,1),(230,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(47,1),(84,1),(92,1),(94,1),(149,1),(152,1),(201,1),(231,1)}
        65:{1,4,7}:{(40,1),(48,1),(85,1),(92,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(49,1),(86,1),(92,1),(94,1),(107,1),(148,1),(150,1),(164,1),(200,1),(209,1),(230,1)}
        67:{1,3,5,7}:{(42,1),(50,1),(87,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(49,1),(96,1),(97,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(51,1),(96,1),(98,1),(157,1),(204,1)}
        70:{1,3,4,6,7}:{(44,1),(46,1),(52,1),(97,1),(98,1),(99,1),(154,1),(156,1),(204,1),(232,1)}
        71:{3,5,7}:{(45,1),(46,1),(54,1),(232,1)}
        72:{2,4,6}:{(47,1),(48,1),(92,1),(100,1),(101,1),(243,1)}
        73:{3,4,7}:{(48,1),(50,1),(101,1),(241,1)}
        74:{2,4,5,6}:{(49,1),(51,1),(96,1),(100,1),(103,1),(106,1),(162,1)}
        75:{3,6}:{(49,1),(50,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(104,1),(105,1),(159,1),(232,1),(233,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(98,1),(103,1),(106,1),(149,1)}
        78:{2,4,6}:{(52,1),(53,1),(104,1),(106,1),(107,1),(164,1)}
        79:{1,4,5,7}:{(53,1),(105,1),(107,1),(151,1),(157,1),(201,1),(204,1),(206,1)}
        80:{2,5,6,7}:{(55,1),(58,1),(108,1),(167,1),(212,1)}
        81:{1,4,6,7}:{(55,1),(56,1),(60,1),(108,1),(109,1)}
        82:{2,4,5,7}:{(56,1),(62,1),(109,1),(111,1),(167,1),(235,1)}
        83:{3,4,6,7}:{(56,1),(63,1),(111,1)}
        84:{2,3,5,6}:{(57,1),(58,1),(64,1),(112,1),(115,1),(123,1),(169,1),(177,1),(189,1),(223,1),(224,1)}
        85:{2,4,7}:{(57,1),(65,1),(112,1),(113,1)}
        86:{2,4,6}:{(58,1),(59,1),(60,1),(115,1)}
        87:{3,5,7}:{(59,1),(113,1),(115,1),(169,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(109,1),(114,1),(117,1),(120,1),(176,1),(217,1)}
        89:{1,3,4,6}:{(60,1),(61,1),(63,1),(115,1),(117,1),(118,1),(172,1),(174,1),(217,1),(238,1)}
        90:{2,4,5,7}:{(61,1),(116,1),(118,1),(119,1),(122,1),(167,1),(175,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        91:{3,5,6}:{(62,1),(63,1),(111,1),(129,1),(238,1)}
        92:{1,4,6}:{(64,1),(65,1),(72,1),(112,1),(120,1),(239,1)}
        93:{1,3,4,7}:{(65,1),(67,1),(73,1),(113,1),(121,1),(122,1),(239,1),(240,1),(244,1)}
        94:{1,3,6}:{(66,1),(67,1),(75,1),(115,1),(123,1),(224,1),(238,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(135,1),(175,1),(177,1),(187,1),(216,1),(223,1),(237,1)}
        96:{2,4,5,7}:{(68,1),(69,1),(74,1),(125,1),(127,1),(181,1)}
        97:{3,6,7}:{(68,1),(75,1),(125,1)}
        98:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(125,1),(127,1)}
        99:{2,4,6,7}:{(70,1),(78,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{2,4,5}:{(72,1),(120,1),(129,1),(177,1)}
       101:{3,4,6}:{(72,1),(73,1),(75,1),(129,1),(238,1),(244,1)}
       102:{2,3,4,7}:{(73,1),(76,1),(122,1),(130,1),(131,1),(181,1),(216,1),(240,1)}
       103:{3,5,6}:{(74,1),(75,1),(125,1),(129,1),(132,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(224,1)}
       105:{1,3,5,7}:{(76,1),(79,1),(131,1),(134,1),(135,1),(185,1)}
       106:{2,5,6}:{(77,1),(78,1),(127,1),(136,1),(177,1)}
       107:{1,4,6}:{(78,1),(79,1),(134,1),(136,1)}
       108:{2,4,6,7}:{(80,1),(81,1),(86,1),(137,1),(138,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(88,1),(137,1),(139,1),(193,1),(225,1)}
       110:{1,3,4,6,7}:{(81,1),(83,1),(89,1),(138,1),(139,1),(140,1),(190,1),(192,1),(225,1),(241,1)}
       111:{3,5,7}:{(82,1),(83,1),(91,1),(241,1)}
       112:{2,4,6}:{(84,1),(85,1),(92,1),(141,1),(142,1),(234,1)}
       113:{3,4,7}:{(85,1),(87,1),(142,1),(232,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(137,1),(141,1),(144,1),(147,1),(198,1)}
       115:{3,6}:{(86,1),(87,1)}
       116:{2,3,5,7}:{(87,1),(90,1),(143,1),(145,1),(146,1),(195,1),(241,1),(242,1)}
       117:{1,3,5,6}:{(88,1),(89,1),(91,1),(139,1),(144,1),(147,1),(149,1)}
       118:{2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(200,1)}
       119:{1,4,5,7}:{(90,1),(146,1),(148,1),(151,1),(193,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(100,1),(141,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(101,1),(142,1),(149,1),(150,1)}
       122:{2,4,7}:{(93,1),(95,1),(150,1),(151,1),(234,1),(243,1)}
       123:{2,3,6}:{(94,1),(95,1),(150,1),(152,1),(164,1),(200,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(97,1),(103,1),(154,1)}
       126:{2,3,6,7}:{(97,1),(99,1),(104,1),(155,1),(156,1),(232,1)}
       127:{2,5,7}:{(98,1),(99,1),(106,1),(157,1)}
       128:{1,4,6,7}:{(99,1),(107,1),(156,1),(157,1),(204,1)}
       129:{3,5}:{(100,1),(101,1)}
       130:{2,3,4,6}:{(101,1),(102,1),(104,1),(150,1),(159,1),(160,1),(162,1),(229,1),(243,1)}
       131:{1,3,4,7}:{(102,1),(105,1),(151,1),(160,1),(161,1),(203,1),(204,1),(232,1)}
       132:{3,4,6}:{(103,1),(154,1),(158,1),(162,1)}
       133:{2,3,5,6}:{(103,1),(104,1),(106,1),(155,1),(159,1),(162,1),(163,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(164,1)}
       135:{2,5,7}:{(105,1),(161,1),(164,1),(207,1)}
       136:{1,5,6}:{(106,1),(107,1),(157,1),(201,1)}
       137:{2,4,5,7}:{(108,1),(109,1),(114,1),(165,1),(167,1),(210,1)}
       138:{3,6,7}:{(108,1),(115,1),(165,1)}
       139:{1,3,5,7}:{(109,1),(110,1),(111,1),(117,1),(165,1),(167,1)}
       140:{2,4,6,7}:{(110,1),(118,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{2,4,5}:{(112,1),(120,1),(169,1),(177,1)}
       142:{3,4,6}:{(112,1),(113,1),(115,1),(169,1),(224,1),(240,1)}
       143:{2,3,4,7}:{(113,1),(116,1),(122,1),(170,1),(171,1),(187,1),(210,1),(244,1)}
       144:{3,5,6}:{(114,1),(115,1),(165,1),(169,1),(172,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(238,1)}
       146:{1,3,5,7}:{(116,1),(119,1),(171,1),(174,1),(175,1),(214,1)}
       147:{2,5,6}:{(117,1),(118,1),(167,1),(176,1),(177,1)}
       148:{1,4,6}:{(118,1),(119,1),(174,1),(176,1)}
       149:{1,3,5}:{(120,1),(121,1),(129,1),(169,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,4,7}:{(122,1),(124,1),(178,1),(239,1)}
       152:{1,3,6}:{(123,1),(124,1),(178,1),(180,1)}
       153:{1,2,5,7}:{(124,1),(135,1),(175,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(132,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(181,1),(182,1)}
       156:{1,3,6,7}:{(126,1),(128,1),(134,1),(182,1),(183,1)}
       157:{1,5,7}:{(127,1),(128,1),(136,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,3,5}:{(129,1),(130,1),(177,1),(184,1),(185,1)}
       160:{1,3,4,6}:{(130,1),(131,1),(134,1),(178,1),(185,1),(186,1),(188,1),(220,1),(224,1),(239,1),(240,1)}
       161:{2,4,7}:{(131,1),(135,1),(186,1),(187,1)}
       162:{2,4,6}:{(132,1),(133,1),(181,1),(184,1),(188,1)}
       163:{1,3,5,6}:{(133,1),(134,1),(136,1),(182,1),(185,1),(188,1),(189,1),(224,1)}
       164:{2,6}:{(134,1),(135,1)}
       165:{3,5,7}:{(137,1),(138,1),(144,1),(190,1)}
       166:{2,3,6,7}:{(138,1),(140,1),(145,1),(191,1),(192,1),(241,1)}
       167:{2,5,7}:{(139,1),(140,1),(147,1),(193,1)}
       168:{1,4,6,7}:{(140,1),(148,1),(192,1),(193,1),(225,1)}
       169:{3,5}:{(141,1),(142,1)}
       170:{2,3,4,6}:{(142,1),(143,1),(145,1),(150,1),(195,1),(196,1),(198,1),(208,1),(234,1)}
       171:{1,3,4,7}:{(143,1),(146,1),(151,1),(196,1),(197,1),(203,1),(225,1),(241,1)}
       172:{3,4,6}:{(144,1),(190,1),(194,1),(198,1)}
       173:{2,3,5,6}:{(144,1),(145,1),(147,1),(191,1),(195,1),(198,1),(199,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(200,1)}
       175:{2,5,7}:{(146,1),(197,1),(200,1),(228,1)}
       176:{1,5,6}:{(147,1),(148,1),(193,1),(201,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,4,7}:{(151,1),(153,1),(161,1),(197,1),(202,1),(203,1)}
       180:{1,2,6}:{(152,1),(153,1),(164,1),(200,1)}
       181:{2,4,7}:{(154,1),(155,1),(162,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(156,1),(164,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(162,1),(206,1),(243,1)}
       185:{1,3,5}:{(159,1),(160,1),(201,1),(206,1),(207,1),(233,1)}
       186:{2,4,6}:{(160,1),(161,1),(164,1),(207,1),(208,1),(234,1)}
       187:{2,3,7}:{(161,1),(203,1),(208,1),(232,1)}
       188:{1,4,6}:{(162,1),(163,1),(204,1),(206,1),(209,1)}
       189:{2,5,6}:{(163,1),(164,1),(205,1),(207,1),(209,1)}
       190:{3,4,7}:{(165,1),(172,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(173,1),(210,1),(211,1)}
       192:{1,3,6,7}:{(166,1),(168,1),(174,1),(211,1),(212,1)}
       193:{1,5,7}:{(167,1),(168,1),(176,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,3,5}:{(169,1),(170,1),(177,1),(213,1),(214,1)}
       196:{1,3,4,6}:{(170,1),(171,1),(174,1),(178,1),(214,1),(215,1),(217,1),(220,1),(238,1),(239,1),(244,1)}
       197:{2,4,7}:{(171,1),(175,1),(215,1),(216,1)}
       198:{2,4,6}:{(172,1),(173,1),(210,1),(213,1),(217,1)}
       199:{1,3,5,6}:{(173,1),(174,1),(176,1),(211,1),(214,1),(217,1),(218,1),(238,1)}
       200:{2,6}:{(174,1),(175,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(186,1),(215,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(179,1),(187,1),(216,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(188,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(189,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(188,1),(222,1),(239,1)}
       207:{2,5}:{(185,1),(186,1)}
       208:{2,3,6}:{(186,1),(187,1),(220,1),(223,1),(224,1)}
       209:{2,4,6}:{(188,1),(189,1),(221,1),(222,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(198,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(199,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(192,1),(200,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(198,1),(227,1),(234,1)}
       214:{1,3,5}:{(195,1),(196,1),(201,1),(227,1),(228,1),(242,1)}
       215:{2,4,6}:{(196,1),(197,1),(200,1),(228,1),(229,1),(243,1)}
       216:{2,3,7}:{(197,1),(203,1),(229,1),(241,1)}
       217:{1,4,6}:{(198,1),(199,1),(225,1),(227,1),(230,1)}
       218:{2,5,6}:{(199,1),(200,1),(226,1),(228,1),(230,1)}
       219:{1,2,5}:{(201,1),(202,1),(207,1),(228,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(208,1),(229,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(209,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(209,1),(233,1),(234,1)}
       223:{2,3,5}:{(207,1),(208,1),(231,1),(233,1),(234,1)}
       224:{3,6}:{(209,1),(232,1),(233,1)}
       225:{1,4,7}:{(210,1),(211,1),(217,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(218,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(217,1),(236,1),(239,1)}
       228:{2,5}:{(214,1),(215,1)}
       229:{2,3,6}:{(215,1),(216,1),(220,1),(237,1),(238,1)}
       230:{2,4,6}:{(217,1),(218,1),(235,1),(236,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(223,1),(237,1),(239,1)}
       232:{3,7}:{(221,1),(224,1)}
       233:{3,5}:{(222,1),(224,1),(240,1)}
       234:{2,4}:{(223,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(230,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(230,1),(242,1),(243,1)}
       237:{2,3,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(241,1),(242,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1083 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

1084 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1085 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1086 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1087 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1088 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1089 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(27,1),(55,1),(120,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(45,1),(97,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(156,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(37,1),(42,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(42,1),(82,1),(83,1),(103,1),(218,1),(228,1),(236,1),(242,1),(290,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(68,1),(130,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(27,1),(55,1),(59,1),(68,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(194,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(24,1),(30,1),(52,1),(63,1),(71,1),(106,1),(124,1),(177,1),(195,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(25,1),(184,1),(267,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(25,1),(27,1)}
        15:{1,3,5,6,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(65,1),(68,1)}
        16:{2,4,5,6}:{(7,1),(25,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(263,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(65,1),(74,1),(113,1),(114,1),(127,1),(134,1),(201,1),(208,1),(262,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(33,1),(36,1),(43,1),(78,1),(84,1),(93,1),(144,1),(153,1),(156,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(86,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(230,1)}
        24:{2,4,5,6}:{(12,1),(36,1),(40,1),(41,1),(90,1),(161,1),(231,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(16,1),(42,1),(43,1),(236,1)}
        26:{2,3,4,6,7}:{(14,1),(17,1),(37,1),(42,1),(44,1),(83,1),(147,1),(155,1),(166,1),(236,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(43,1),(45,1)}
        28:{2,5,6,7}:{(15,1),(45,1),(86,1),(92,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(42,1),(47,1),(222,1),(231,1)}
        30:{1,4,5,6}:{(16,1),(43,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(288,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(92,1),(149,1),(150,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(130,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(24,1),(57,1),(58,1),(115,1),(191,1),(194,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(68,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(28,1),(56,1),(60,1),(61,1),(117,1),(125,1),(179,1),(194,1),(264,1),(270,1),(301,1)}
        40:{2,3,5,6}:{(24,1),(57,1),(62,1),(63,1),(71,1),(177,1)}
        41:{1,4,5,6}:{(24,1),(58,1),(63,1),(198,1),(264,1)}
        42:{2,3,5,7}:{(25,1),(26,1),(29,1),(65,1),(184,1),(194,1)}
        43:{1,4,5,7}:{(25,1),(27,1),(30,1),(65,1),(66,1),(201,1)}
        44:{1,3,4,6,7}:{(26,1),(27,1),(31,1),(59,1),(65,1),(67,1),(68,1),(114,1),(127,1),(128,1),(193,1),(201,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1)}
        46:{2,3,5,6,7}:{(28,1),(61,1),(68,1),(69,1),(118,1),(126,1),(130,1),(194,1),(206,1),(250,1),(301,1),(314,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(65,1),(70,1),(71,1),(264,1)}
        48:{2,4,5,6}:{(30,1),(66,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(125,1),(138,1),(186,1),(188,1),(201,1),(208,1),(209,1),(262,1),(268,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(189,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(169,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(83,1),(96,1),(139,1),(155,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(86,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(83,1),(84,1),(93,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(41,1),(84,1),(227,1),(230,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(84,1),(86,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(45,1),(80,1),(85,1),(86,1),(87,1),(88,1),(155,1),(288,1),(291,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(46,1),(81,1),(87,1),(88,1),(154,1),(156,1),(163,1),(216,1),(230,1),(240,1),(283,1)}
        62:{2,3,4,6}:{(40,1),(82,1),(83,1),(89,1),(100,1),(161,1),(213,1),(232,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(84,1),(89,1),(90,1)}
        64:{1,2,4,5,6}:{(41,1),(48,1),(85,1),(90,1),(91,1),(98,1),(141,1),(157,1),(158,1),(161,1),(171,1),(211,1),(231,1),(235,1),(242,1),(275,1),(288,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(44,1),(47,1),(92,1),(93,1),(230,1)}
        66:{2,4,5,7}:{(43,1),(45,1),(48,1),(92,1),(93,1),(164,1)}
        67:{2,4,6,7}:{(44,1),(49,1),(86,1),(92,1),(95,1),(150,1),(164,1)}
        68:{3,6,7}:{(45,1),(93,1)}
        69:{2,4,6,7}:{(46,1),(88,1),(96,1),(97,1),(164,1),(238,1),(279,1),(310,1)}
        70:{2,5,6}:{(47,1),(49,1),(92,1)}
        71:{3,5,6}:{(48,1),(93,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(288,1),(291,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(225,1),(290,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(164,1),(224,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(130,1),(194,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(114,1),(175,1),(181,1),(182,1),(193,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(118,1),(180,1),(184,1),(194,1),(200,1),(256,1),(270,1),(304,1)}
        82:{2,3,4,5}:{(62,1),(113,1),(134,1),(199,1),(247,1),(257,1)}
        83:{2,3,4,7}:{(57,1),(62,1),(114,1),(127,1),(181,1),(191,1),(259,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(114,1),(115,1)}
        85:{1,2,4,5,7}:{(58,1),(60,1),(64,1),(66,1),(109,1),(115,1),(116,1),(120,1),(125,1),(179,1),(188,1),(191,1),(194,1),(201,1),(251,1),(262,1),(268,1),(299,1),(302,1)}
        86:{2,6,7}:{(59,1),(115,1)}
        87:{1,3,6,7}:{(60,1),(68,1),(111,1),(116,1),(118,1),(303,1),(304,1),(314,1)}
        88:{1,4,6,7}:{(61,1),(69,1),(112,1),(120,1),(201,1),(251,1),(269,1),(300,1)}
        89:{1,3,4,6}:{(62,1),(63,1),(113,1),(114,1),(121,1),(196,1),(198,1)}
        90:{2,5,6}:{(63,1),(115,1),(121,1)}
        91:{1,3,5,6}:{(64,1),(71,1),(116,1),(123,1),(124,1),(177,1),(196,1),(266,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1)}
        93:{3,5,7}:{(66,1),(68,1),(71,1),(127,1)}
        94:{1,2,4,6,7}:{(67,1),(72,1),(117,1),(125,1),(128,1),(188,1),(193,1),(201,1),(204,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(73,1),(126,1),(128,1),(189,1)}
        96:{3,4,6,7}:{(68,1),(69,1),(127,1),(130,1),(203,1),(298,1),(314,1)}
        97:{2,4,5,7}:{(69,1),(120,1),(130,1),(131,1),(194,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(125,1),(132,1),(209,1),(264,1),(270,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(126,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(127,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(259,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(201,1),(258,1),(267,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(169,1),(231,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(83,1),(139,1),(142,1),(165,1),(228,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(230,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(86,1),(143,1),(146,1),(150,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(88,1),(147,1),(148,1),(217,1),(236,1),(281,1),(291,1)}
       113:{1,3,4,5}:{(82,1),(89,1),(149,1),(223,1),(235,1)}
       114:{1,3,4,7}:{(83,1),(84,1),(89,1),(150,1),(225,1),(227,1)}
       115:{2,5,7}:{(84,1),(86,1),(90,1),(150,1)}
       116:{1,3,5,7}:{(85,1),(87,1),(91,1),(93,1),(144,1),(152,1),(153,1),(225,1),(290,1),(309,1)}
       117:{1,2,6,7}:{(86,1),(151,1),(154,1),(311,1)}
       118:{2,3,6,7}:{(86,1),(87,1),(152,1),(154,1),(155,1),(287,1),(311,1)}
       119:{1,3,4,6,7}:{(87,1),(88,1),(96,1),(147,1),(153,1),(155,1),(156,1),(229,1)}
       120:{1,4,5,7}:{(88,1),(97,1),(148,1),(156,1),(157,1),(230,1)}
       121:{2,4,6}:{(89,1),(90,1),(149,1),(150,1),(159,1)}
       122:{1,2,5,6}:{(90,1),(151,1),(158,1),(160,1),(289,1),(311,1)}
       123:{2,3,5,6}:{(90,1),(91,1),(152,1),(159,1),(160,1),(161,1),(231,1),(232,1),(234,1),(287,1),(289,1),(311,1)}
       124:{1,3,4,6}:{(91,1),(100,1),(153,1),(161,1),(162,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       125:{1,2,5,7}:{(92,1),(94,1),(98,1),(163,1),(230,1),(239,1)}
       126:{2,3,5,7}:{(92,1),(93,1),(95,1),(99,1),(163,1),(164,1)}
       127:{3,4,7}:{(93,1),(100,1),(164,1)}
       128:{1,3,6,7}:{(94,1),(95,1),(101,1),(163,1),(166,1),(225,1)}
       129:{2,3,4,6,7}:{(95,1),(96,1),(102,1),(155,1),(164,1),(167,1),(168,1),(226,1),(238,1),(287,1)}
       130:{3,5,7}:{(96,1),(97,1),(169,1)}
       131:{2,4,5,6}:{(97,1),(157,1),(169,1),(231,1),(238,1),(310,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(163,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(164,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(284,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(203,1),(263,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(264,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(114,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(262,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(117,1),(179,1),(182,1),(188,1),(193,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(189,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(267,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(120,1),(184,1),(185,1),(194,1)}
       149:{2,4,5}:{(113,1),(121,1),(187,1)}
       150:{2,4,7}:{(114,1),(115,1),(121,1),(189,1)}
       151:{1,2,5,7}:{(115,1),(117,1),(122,1),(188,1),(190,1),(302,1)}
       152:{2,3,5,7}:{(115,1),(116,1),(118,1),(123,1),(189,1),(190,1),(191,1),(194,1),(259,1),(302,1)}
       153:{1,3,4,7}:{(116,1),(124,1),(127,1),(181,1),(191,1),(201,1),(251,1),(267,1),(298,1)}
       154:{1,3,6,7}:{(117,1),(118,1),(190,1),(193,1),(303,1)}
       155:{2,4,6,7}:{(118,1),(119,1),(191,1),(193,1),(194,1),(263,1)}
       156:{1,3,5,7}:{(119,1),(120,1),(130,1),(184,1),(194,1),(195,1)}
       157:{1,4,5,6}:{(120,1),(131,1),(185,1),(195,1),(264,1),(269,1),(300,1)}
       158:{1,2,4,6}:{(121,1),(122,1),(186,1),(188,1),(196,1),(198,1),(265,1)}
       159:{2,3,6}:{(121,1),(187,1),(189,1),(196,1)}
       160:{1,3,5,6}:{(122,1),(123,1),(190,1),(196,1),(198,1),(264,1),(266,1),(303,1)}
       161:{2,4,6}:{(123,1),(124,1),(191,1),(198,1),(199,1)}
       162:{1,3,4,5}:{(124,1),(134,1),(199,1),(208,1),(247,1),(266,1),(271,1),(296,1),(313,1)}
       163:{1,3,5,7}:{(125,1),(126,1),(128,1),(132,1),(200,1),(201,1)}
       164:{2,4,7}:{(126,1),(127,1),(133,1),(201,1)}
       165:{3,4,5,7}:{(127,1),(130,1),(134,1),(202,1),(203,1)}
       166:{2,3,6,7}:{(128,1),(135,1),(200,1),(204,1),(259,1),(304,1)}
       167:{1,3,4,6,7}:{(128,1),(129,1),(136,1),(193,1),(201,1),(204,1),(205,1),(260,1),(267,1),(269,1),(303,1),(304,1)}
       168:{2,3,5,7}:{(129,1),(130,1),(137,1),(194,1),(202,1),(205,1),(206,1)}
       169:{3,5,6}:{(130,1),(131,1),(203,1),(314,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(200,1),(207,1),(209,1),(270,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(201,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(288,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(150,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(230,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(225,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(155,1),(217,1),(220,1),(221,1),(226,1),(273,1),(281,1),(287,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(157,1),(222,1),(231,1),(281,1),(291,1)}
       186:{1,2,4,5}:{(149,1),(158,1),(223,1),(235,1),(284,1),(289,1)}
       187:{2,3,5}:{(149,1),(159,1),(223,1),(224,1)}
       188:{1,2,4,7}:{(150,1),(151,1),(158,1),(225,1),(227,1),(285,1)}
       189:{2,3,7}:{(150,1),(159,1),(225,1)}
       190:{1,3,5,7}:{(151,1),(152,1),(154,1),(160,1),(225,1),(227,1),(230,1)}
       191:{2,4,7}:{(152,1),(153,1),(161,1),(227,1)}
       192:{1,3,4,5,7}:{(153,1),(156,1),(162,1),(165,1),(218,1),(228,1),(229,1),(237,1),(280,1),(286,1),(290,1),(309,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(227,1),(230,1),(288,1)}
       194:{2,5,7}:{(155,1),(156,1),(230,1),(231,1)}
       195:{1,3,5,6}:{(156,1),(157,1),(169,1),(222,1),(229,1),(231,1)}
       196:{1,3,6}:{(158,1),(159,1),(223,1),(225,1),(232,1)}
       197:{2,3,4,6}:{(159,1),(161,1),(224,1),(226,1),(233,1),(234,1),(241,1),(287,1),(307,1)}
       198:{1,4,6}:{(160,1),(161,1),(227,1),(235,1)}
       199:{2,4,5}:{(161,1),(162,1),(234,1),(235,1),(289,1)}
       200:{2,3,5,7}:{(163,1),(166,1),(170,1),(236,1),(239,1),(290,1)}
       201:{1,4,7}:{(163,1),(164,1),(171,1),(236,1)}
       202:{2,4,5,7}:{(164,1),(165,1),(168,1),(172,1),(237,1),(238,1)}
       203:{3,4,6}:{(165,1),(169,1),(238,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(173,1),(236,1),(239,1),(285,1),(291,1),(311,1)}
       205:{1,3,5,7}:{(167,1),(168,1),(174,1),(230,1),(237,1),(239,1),(240,1),(290,1)}
       206:{2,3,5,6}:{(168,1),(169,1),(231,1),(238,1),(240,1),(287,1)}
       207:{2,4,6}:{(170,1),(171,1),(236,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(264,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(188,1),(243,1),(248,1),(251,1),(262,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(189,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(259,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(193,1),(251,1),(254,1),(255,1),(260,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(194,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,5}:{(186,1),(187,1),(196,1),(257,1),(258,1)}
       224:{2,3,4}:{(187,1),(258,1)}
       225:{1,3,7}:{(188,1),(189,1),(196,1),(259,1)}
       226:{2,3,4,7}:{(189,1),(191,1),(197,1),(260,1),(261,1),(267,1),(298,1)}
       227:{1,4,7}:{(190,1),(191,1),(198,1)}
       228:{2,4,5,7}:{(191,1),(192,1),(194,1),(199,1),(261,1),(262,1),(263,1),(302,1)}
       229:{1,3,4,6}:{(192,1),(195,1),(203,1),(253,1),(263,1),(269,1),(300,1),(303,1),(304,1),(314,1)}
       230:{1,5,7}:{(193,1),(194,1),(264,1)}
       231:{2,5,6}:{(194,1),(195,1),(263,1),(264,1)}
       232:{2,3,6}:{(196,1),(257,1),(259,1),(265,1)}
       233:{1,3,4,6}:{(196,1),(197,1),(198,1),(258,1),(260,1),(265,1),(266,1),(303,1)}
       234:{2,3,5}:{(197,1),(199,1),(266,1),(271,1),(313,1)}
       235:{1,4,5}:{(198,1),(199,1),(266,1)}
       236:{2,4,7}:{(200,1),(201,1),(207,1),(267,1)}
       237:{1,4,5,7}:{(201,1),(202,1),(205,1),(208,1),(268,1),(269,1)}
       238:{2,4,6}:{(202,1),(203,1),(206,1),(269,1)}
       239:{2,5,7}:{(204,1),(205,1),(209,1),(270,1)}
       240:{1,3,5,6}:{(205,1),(206,1),(264,1),(269,1),(270,1),(303,1),(304,1)}
       241:{3,4,6}:{(207,1),(267,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(288,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(225,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(224,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(285,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(230,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(231,1),(281,1),(283,1),(287,1)}
       257:{2,3,5}:{(223,1),(232,1),(284,1),(289,1)}
       258:{1,3,4}:{(223,1),(224,1),(284,1)}
       259:{2,3,7}:{(225,1),(232,1),(285,1)}
       260:{1,3,4,7}:{(225,1),(226,1),(227,1),(233,1),(285,1),(286,1)}
       261:{2,3,5,7}:{(226,1),(228,1),(234,1),(286,1),(287,1),(290,1),(309,1)}
       262:{1,4,5,7}:{(227,1),(228,1),(230,1),(235,1),(286,1),(288,1)}
       263:{2,4,6}:{(228,1),(229,1),(231,1),(287,1),(288,1),(311,1)}
       264:{1,5,6}:{(230,1),(231,1),(288,1)}
       265:{2,4,6}:{(232,1),(233,1),(284,1),(285,1),(289,1),(311,1)}
       266:{1,3,5}:{(233,1),(234,1),(235,1),(289,1)}
       267:{3,4,7}:{(236,1),(241,1),(290,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(239,1),(242,1),(290,1),(291,1)}
       269:{1,4,6}:{(237,1),(238,1),(240,1),(291,1)}
       270:{2,5,6}:{(239,1),(240,1),(291,1),(311,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(259,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(258,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(264,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4}:{(257,1),(258,1)}
       285:{2,4,7}:{(259,1),(260,1),(265,1),(302,1)}
       286:{1,3,5,7}:{(260,1),(261,1),(262,1),(266,1),(302,1),(303,1)}
       287:{2,3,6}:{(261,1),(263,1),(303,1),(304,1),(314,1)}
       288:{1,4,6}:{(262,1),(263,1),(264,1),(303,1)}
       289:{2,5}:{(265,1),(266,1)}
       290:{3,5,7}:{(267,1),(268,1),(271,1),(304,1)}
       291:{2,4,6}:{(268,1),(269,1),(270,1),(304,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(284,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(285,1),(286,1),(289,1),(311,1)}
       303:{1,3,6}:{(286,1),(287,1),(288,1),(311,1)}
       304:{3,6}:{(290,1),(291,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1090 :   0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(17,1),(19,1),(52,1),(113,1),(132,1),(133,1),(137,1),(138,1),(193,1),(206,1),(210,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(27,1),(39,1),(78,1),(80,1),(83,1),(85,1),(86,1),(143,1),(154,1),(164,1),(170,1),(174,1),(221,1),(233,1),(269,1),(278,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(35,1),(39,1),(85,1),(94,1),(100,1),(170,1),(174,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(40,1),(102,1),(103,1),(152,1),(176,1),(226,1)}
         4:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(52,1),(122,1),(193,1),(200,1),(206,1),(210,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(51,1),(56,1),(66,1),(119,1),(139,1),(181,1),(191,1),(248,1),(295,1)}
         6:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(58,1),(59,1),(130,1),(132,1),(133,1),(206,1)}
         7:{2,3,5,7}:{(2,1),(18,1),(19,1),(20,1),(65,1),(193,1),(206,1),(210,1),(256,1)}
         8:{1,4,5,7}:{(2,1),(19,1),(21,1),(50,1),(61,1),(124,1),(132,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(66,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(22,1),(23,1),(52,1),(70,1)}
        11:{1,2,4,6,7}:{(5,1),(24,1),(25,1),(34,1),(74,1),(78,1),(92,1),(158,1),(170,1),(214,1),(269,1)}
        12:{1,3,4,7}:{(4,1),(27,1),(28,1),(78,1),(157,1),(233,1),(241,1),(273,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(39,1),(85,1),(97,1),(143,1),(146,1),(173,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(176,1),(226,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(25,1),(31,1),(42,1),(85,1),(101,1),(151,1),(161,1),(164,1),(217,1),(284,1)}
        16:{2,4,6,7}:{(6,1),(9,1),(33,1),(34,1),(35,1),(92,1),(94,1),(170,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(35,1),(36,1),(96,1)}
        18:{2,3,4,7}:{(7,1),(27,1),(37,1),(38,1),(94,1),(146,1),(157,1),(229,1),(239,1),(241,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(37,1),(39,1),(40,1),(99,1),(278,1)}
        20:{2,3,6}:{(7,1),(9,1),(40,1),(176,1),(226,1),(277,1)}
        21:{1,4,6}:{(8,1),(9,1),(40,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(35,1),(42,1),(85,1)}
        23:{1,4,5,6}:{(10,1),(36,1),(43,1),(86,1),(102,1),(152,1),(178,1)}
        24:{1,3,6,7}:{(11,1),(14,1),(46,1),(47,1),(206,1),(288,1),(295,1)}
        25:{1,2,5,7}:{(11,1),(15,1),(47,1),(61,1),(112,1),(131,1),(196,1),(245,1),(296,1)}
        26:{1,3,4,5,7}:{(12,1),(48,1),(49,1),(52,1),(105,1),(113,1),(118,1),(186,1),(187,1),(193,1),(246,1),(247,1),(251,1),(288,1)}
        27:{2,4,7}:{(12,1),(13,1),(50,1),(51,1),(209,1),(250,1)}
        28:{1,3,4,6}:{(12,1),(14,1),(51,1),(52,1),(56,1),(128,1)}
        29:{1,3,5,7}:{(13,1),(50,1),(53,1),(54,1),(122,1),(124,1),(200,1)}
        30:{2,3,6}:{(13,1),(14,1),(51,1),(54,1),(66,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(47,1),(52,1),(55,1),(56,1),(200,1),(263,1),(264,1),(295,1)}
        32:{1,3,5,6,7}:{(17,1),(57,1),(58,1),(110,1),(130,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(59,1),(60,1),(130,1),(205,1),(206,1)}
        34:{1,4,6,7}:{(16,1),(21,1),(59,1),(61,1),(132,1)}
        35:{2,5,7}:{(16,1),(17,1),(22,1),(61,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(62,1),(132,1),(208,1)}
        37:{1,3,4,7}:{(18,1),(19,1),(50,1),(63,1),(64,1),(122,1),(132,1),(206,1),(258,1),(265,1)}
        38:{2,3,4,6}:{(18,1),(20,1),(51,1),(64,1),(65,1),(68,1),(128,1),(184,1),(204,1),(212,1),(250,1),(266,1)}
        39:{2,5,7}:{(19,1),(63,1),(66,1),(136,1)}
        40:{1,3,6}:{(19,1),(20,1),(21,1),(66,1),(295,1)}
        41:{2,3,5,6}:{(20,1),(22,1),(60,1),(65,1),(67,1),(68,1),(70,1),(141,1),(212,1)}
        42:{1,5,6}:{(21,1),(22,1),(61,1),(124,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(62,1),(68,1),(69,1),(70,1),(125,1),(139,1),(141,1),(191,1)}
        44:{2,3,4,7}:{(27,1),(71,1),(72,1),(73,1),(97,1),(157,1),(216,1),(229,1),(273,1),(301,1)}
        45:{1,3,4,6,7}:{(24,1),(28,1),(74,1),(75,1),(78,1),(152,1),(157,1),(226,1)}
        46:{2,3,6,7}:{(24,1),(30,1),(74,1),(76,1),(77,1),(92,1),(214,1),(226,1),(277,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(31,1),(77,1),(78,1),(278,1),(279,1)}
        48:{2,4,5,7}:{(26,1),(27,1),(71,1),(80,1),(81,1),(85,1),(143,1),(149,1),(159,1),(216,1),(221,1),(269,1)}
        49:{1,3,4,6}:{(26,1),(81,1),(82,1),(144,1),(152,1),(218,1),(219,1),(226,1),(271,1)}
        50:{1,4,7}:{(27,1),(29,1),(84,1),(233,1)}
        51:{2,4,6}:{(27,1),(28,1),(30,1),(84,1),(85,1)}
        52:{1,3,5}:{(28,1),(85,1),(86,1),(166,1)}
        53:{1,2,5,7}:{(29,1),(39,1),(83,1),(87,1),(143,1),(164,1),(278,1)}
        54:{1,3,6}:{(29,1),(30,1),(84,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(77,1),(85,1),(88,1),(89,1),(101,1),(151,1),(166,1),(173,1),(176,1),(217,1),(220,1),(226,1),(235,1),(236,1),(271,1),(277,1)}
        56:{1,4,6}:{(31,1),(78,1),(86,1),(89,1),(233,1)}
        57:{2,5,6,7}:{(32,1),(35,1),(90,1),(91,1),(151,1)}
        58:{1,4,6,7}:{(32,1),(36,1),(91,1),(152,1),(238,1)}
        59:{1,3,6,7}:{(33,1),(34,1),(40,1),(92,1),(93,1),(238,1)}
        60:{2,3,5,7}:{(33,1),(35,1),(41,1),(93,1),(94,1),(96,1),(172,1),(239,1)}
        61:{1,5,7}:{(34,1),(35,1),(42,1)}
        62:{2,4,5,7}:{(35,1),(36,1),(43,1),(91,1),(94,1),(95,1),(96,1),(170,1),(172,1)}
        63:{2,4,7}:{(37,1),(39,1),(97,1),(98,1),(285,1)}
        64:{1,3,4,6}:{(37,1),(38,1),(40,1),(84,1),(98,1),(99,1),(102,1),(163,1),(176,1),(233,1),(237,1),(241,1),(244,1),(286,1)}
        65:{2,3,5}:{(38,1),(85,1),(99,1),(100,1),(166,1),(235,1)}
        66:{2,6}:{(39,1),(40,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(42,1),(93,1),(99,1),(101,1),(102,1),(176,1),(178,1),(244,1)}
        68:{2,4,6}:{(41,1),(94,1),(100,1),(102,1),(103,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(95,1),(102,1),(104,1),(165,1),(225,1)}
        70:{3,5,6}:{(43,1),(96,1),(103,1),(166,1),(176,1),(226,1)}
        71:{2,3,5,7}:{(44,1),(48,1),(105,1),(106,1),(109,1),(193,1),(251,1),(256,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(50,1),(105,1),(107,1),(108,1),(122,1),(246,1),(258,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(51,1),(106,1),(108,1),(109,1),(128,1),(135,1),(183,1),(204,1),(209,1),(290,1),(292,1)}
        74:{2,4,6,7}:{(45,1),(46,1),(51,1),(111,1),(112,1),(116,1),(191,1)}
        75:{1,3,5,7}:{(45,1),(52,1),(110,1),(112,1),(113,1),(193,1)}
        76:{1,3,6,7}:{(46,1),(54,1),(111,1),(114,1),(115,1),(255,1)}
        77:{2,3,5,7}:{(46,1),(47,1),(55,1),(112,1),(115,1),(116,1),(131,1),(193,1),(206,1),(245,1),(256,1),(257,1),(288,1)}
        78:{1,4,7}:{(47,1),(56,1),(116,1)}
        79:{1,3,4,6,7}:{(49,1),(117,1),(118,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        80:{1,4,5,7}:{(48,1),(50,1),(105,1),(119,1),(124,1),(186,1),(196,1),(246,1)}
        81:{2,4,6}:{(48,1),(49,1),(106,1),(119,1),(120,1),(181,1)}
        82:{1,3,5,6}:{(49,1),(52,1),(118,1),(120,1),(121,1),(199,1)}
        83:{1,2,4,7}:{(50,1),(53,1),(63,1),(107,1),(122,1),(123,1),(258,1),(296,1)}
        84:{1,4,6}:{(50,1),(51,1),(54,1),(124,1)}
        85:{2,5}:{(51,1),(52,1),(124,1)}
        86:{1,4,5}:{(52,1),(56,1),(125,1),(263,1)}
        87:{1,2,6}:{(53,1),(54,1),(66,1),(181,1),(295,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(115,1),(124,1),(126,1),(127,1),(190,1),(200,1),(202,1),(203,1),(255,1)}
        89:{2,4,6}:{(55,1),(56,1),(116,1),(125,1),(127,1),(128,1),(209,1),(250,1)}
        90:{1,5,6,7}:{(57,1),(61,1),(129,1),(190,1)}
        91:{2,4,6,7}:{(57,1),(58,1),(62,1),(129,1),(130,1),(191,1),(205,1)}
        92:{2,6,7}:{(59,1),(66,1),(131,1)}
        93:{1,3,5,7}:{(59,1),(60,1),(61,1),(67,1),(131,1),(132,1),(206,1),(208,1),(265,1)}
        94:{2,4,7}:{(60,1),(68,1),(132,1),(133,1)}
        95:{1,4,5,7}:{(61,1),(62,1),(69,1),(129,1),(132,1),(134,1)}
        96:{3,5,7}:{(62,1),(70,1),(130,1),(133,1),(206,1)}
        97:{2,3,7}:{(63,1),(122,1),(135,1),(206,1)}
        98:{2,4,6}:{(63,1),(64,1),(66,1),(135,1),(136,1),(209,1),(268,1),(300,1)}
        99:{1,3,5}:{(64,1),(65,1),(124,1),(136,1),(137,1),(210,1),(263,1)}
       100:{2,4,5}:{(65,1),(68,1),(137,1),(138,1),(250,1)}
       101:{2,5,6}:{(66,1),(67,1),(131,1),(136,1),(139,1),(268,1)}
       102:{1,4,6}:{(67,1),(68,1),(132,1),(137,1),(139,1)}
       103:{3,4,6}:{(68,1),(70,1),(133,1),(138,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(134,1),(140,1),(141,1),(202,1),(255,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(80,1),(143,1),(144,1),(148,1),(278,1)}
       106:{2,3,6}:{(71,1),(81,1),(144,1),(226,1),(271,1),(277,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(84,1),(144,1),(147,1),(148,1),(163,1),(218,1),(233,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(85,1),(148,1),(149,1),(166,1),(235,1)}
       110:{1,3,5,6}:{(75,1),(151,1),(152,1),(226,1)}
       111:{1,4,6,7}:{(74,1),(76,1),(84,1),(153,1),(156,1),(225,1)}
       112:{2,5,7}:{(74,1),(75,1),(85,1),(151,1),(153,1)}
       113:{1,4,5,7}:{(75,1),(78,1),(86,1),(152,1),(154,1),(278,1)}
       114:{1,2,6,7}:{(76,1),(87,1),(92,1),(155,1),(214,1),(238,1),(277,1),(306,1)}
       115:{1,3,5,7}:{(76,1),(77,1),(88,1),(153,1),(155,1),(156,1),(228,1)}
       116:{2,4,7}:{(77,1),(78,1),(89,1),(156,1),(157,1)}
       117:{2,4,6,7}:{(79,1),(81,1),(142,1),(158,1),(159,1),(214,1),(216,1),(269,1)}
       118:{1,3,5,7}:{(79,1),(82,1),(159,1),(160,1),(231,1)}
       119:{1,4,6}:{(80,1),(81,1),(144,1),(161,1)}
       120:{2,5,6}:{(81,1),(82,1),(85,1),(159,1),(161,1)}
       121:{1,4,5,6}:{(82,1),(86,1),(152,1),(160,1),(162,1),(218,1),(281,1)}
       122:{1,3,7}:{(83,1),(97,1),(146,1),(163,1)}
       123:{1,2,4,6}:{(83,1),(84,1),(87,1),(98,1),(147,1),(163,1),(164,1),(233,1),(237,1),(284,1),(307,1)}
       124:{1,5}:{(84,1),(85,1)}
       125:{2,4,5}:{(85,1),(86,1),(89,1),(165,1),(166,1),(235,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(101,1),(155,1),(164,1),(167,1),(178,1),(217,1),(235,1),(277,1),(281,1)}
       127:{1,4,6}:{(88,1),(89,1),(156,1),(165,1),(233,1)}
       128:{3,4,6}:{(89,1),(157,1),(166,1),(176,1),(226,1),(241,1),(271,1),(273,1)}
       129:{1,4,6,7}:{(90,1),(91,1),(95,1),(169,1),(225,1)}
       130:{3,6,7}:{(91,1),(96,1),(226,1)}
       131:{2,5,7}:{(92,1),(93,1),(101,1),(170,1),(285,1)}
       132:{1,4,7}:{(93,1),(94,1),(102,1),(170,1)}
       133:{3,4,7}:{(94,1),(96,1),(103,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(104,1),(169,1),(171,1),(172,1)}
       135:{2,3,6}:{(97,1),(98,1),(163,1),(173,1),(176,1),(308,1)}
       136:{2,5}:{(98,1),(99,1)}
       137:{1,4,5}:{(99,1),(100,1),(102,1),(174,1),(233,1)}
       138:{3,4,5}:{(100,1),(103,1),(166,1),(273,1)}
       139:{2,4,6}:{(101,1),(102,1),(170,1),(174,1),(176,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(104,1),(171,1),(175,1),(176,1),(177,1),(244,1)}
       141:{2,5,6}:{(104,1),(172,1),(177,1),(178,1),(235,1),(277,1)}
       142:{2,3,6,7}:{(106,1),(117,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(119,1),(181,1),(295,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(120,1),(180,1),(182,1),(183,1),(199,1),(260,1),(290,1)}
       146:{2,3,7}:{(107,1),(122,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(124,1),(185,1),(186,1),(251,1),(263,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(209,1)}
       150:{1,3,5,6,7}:{(110,1),(118,1),(188,1),(189,1),(254,1)}
       151:{2,5,6}:{(110,1),(112,1),(190,1),(191,1)}
       152:{1,4,6}:{(110,1),(113,1),(191,1),(295,1)}
       153:{1,5,7}:{(111,1),(112,1),(124,1),(190,1)}
       154:{2,4,5,7}:{(112,1),(113,1),(116,1),(125,1),(191,1),(192,1),(193,1),(256,1)}
       155:{1,2,5,7}:{(114,1),(115,1),(126,1),(131,1),(194,1),(208,1),(245,1),(256,1),(297,1)}
       156:{1,4,7}:{(115,1),(116,1),(127,1)}
       157:{3,4,7}:{(116,1),(128,1),(193,1),(206,1),(288,1)}
       158:{1,4,6,7}:{(117,1),(119,1),(179,1),(196,1),(246,1)}
       159:{2,5,7}:{(117,1),(118,1),(120,1),(196,1)}
       160:{1,4,5,7}:{(118,1),(121,1),(189,1),(197,1),(246,1),(297,1)}
       161:{1,5,6}:{(119,1),(120,1),(124,1),(196,1)}
       162:{2,4,5,6}:{(120,1),(121,1),(125,1),(183,1),(191,1),(197,1),(198,1),(199,1),(248,1),(260,1)}
       163:{1,3,6}:{(122,1),(123,1),(135,1),(184,1),(200,1),(312,1)}
       164:{1,2,5}:{(123,1),(124,1),(136,1),(185,1),(200,1),(263,1)}
       165:{1,4,5}:{(124,1),(125,1),(127,1),(202,1)}
       166:{3,5}:{(125,1),(128,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(139,1),(194,1),(201,1),(203,1),(204,1),(213,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(195,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6,7}:{(129,1),(130,1),(134,1),(205,1),(255,1)}
       170:{2,4,7}:{(131,1),(132,1),(139,1),(206,1)}
       171:{1,3,4,7}:{(132,1),(133,1),(134,1),(140,1),(206,1),(207,1),(265,1)}
       172:{2,5,7}:{(134,1),(141,1),(205,1),(207,1),(208,1)}
       173:{2,3,5}:{(135,1),(136,1),(200,1),(209,1),(210,1)}
       174:{2,4,5}:{(136,1),(137,1),(139,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(137,1),(138,1),(140,1),(202,1),(210,1),(211,1),(261,1),(267,1)}
       176:{3,6}:{(139,1),(206,1),(210,1)}
       177:{2,4,6}:{(140,1),(141,1),(207,1),(211,1),(212,1),(213,1),(268,1)}
       178:{1,5,6}:{(141,1),(208,1),(213,1),(263,1),(295,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(158,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(159,1),(215,1),(216,1),(231,1),(280,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(161,1),(215,1),(217,1),(218,1),(271,1),(281,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(163,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(233,1)}
       187:{3,4,5}:{(149,1),(166,1),(219,1),(241,1)}
       188:{2,5,6,7}:{(150,1),(151,1),(159,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(152,1),(160,1),(224,1),(306,1)}
       190:{1,5,6}:{(151,1),(153,1),(225,1)}
       191:{2,4,6}:{(151,1),(152,1),(154,1),(225,1),(226,1),(277,1)}
       192:{1,4,5,7}:{(153,1),(154,1),(156,1),(165,1),(225,1),(227,1)}
       193:{3,5,7}:{(154,1),(157,1),(166,1),(226,1)}
       194:{1,2,4,7}:{(155,1),(156,1),(167,1),(170,1),(228,1),(229,1),(240,1),(269,1),(285,1),(302,1),(313,1)}
       195:{1,3,4,7}:{(156,1),(157,1),(168,1),(227,1),(228,1),(229,1)}
       196:{1,5,7}:{(158,1),(159,1),(161,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(216,1),(224,1),(230,1),(231,1),(269,1),(280,1)}
       198:{1,4,5,6}:{(161,1),(162,1),(165,1),(218,1),(225,1),(230,1),(232,1)}
       199:{3,5,6}:{(162,1),(166,1),(219,1),(226,1),(231,1),(271,1)}
       200:{1,3,5}:{(163,1),(164,1),(173,1),(220,1),(233,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(167,1),(174,1),(221,1),(233,1),(234,1),(235,1),(243,1),(275,1),(282,1),(287,1),(305,1),(307,1)}
       202:{1,3,5}:{(165,1),(166,1),(168,1),(235,1)}
       203:{1,3,6}:{(167,1),(176,1),(228,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(229,1),(235,1),(236,1),(237,1),(277,1),(282,1)}
       205:{2,6,7}:{(169,1),(172,1),(238,1),(277,1)}
       206:{3,7}:{(170,1),(176,1)}
       207:{2,4,7}:{(171,1),(172,1),(177,1),(239,1),(240,1),(285,1)}
       208:{1,5,7}:{(172,1),(178,1),(238,1),(240,1)}
       209:{2,4}:{(173,1),(233,1),(241,1)}
       210:{3,5}:{(174,1),(176,1),(241,1)}
       211:{2,4,5}:{(175,1),(177,1),(235,1),(242,1),(243,1),(282,1),(287,1)}
       212:{2,3,6}:{(176,1),(177,1),(239,1),(242,1),(244,1)}
       213:{1,4,6}:{(177,1),(178,1),(240,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(196,1),(245,1),(246,1),(288,1),(297,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(199,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(200,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(202,1),(249,1),(251,1),(252,1),(261,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(197,1),(253,1),(254,1),(294,1)}
       225:{1,4,6}:{(190,1),(191,1),(192,1),(255,1)}
       226:{3,6}:{(191,1),(193,1)}
       227:{1,3,5,7}:{(192,1),(193,1),(195,1),(202,1),(255,1),(256,1)}
       228:{1,3,7}:{(194,1),(203,1),(206,1),(257,1),(288,1)}
       229:{2,4,7}:{(195,1),(204,1),(256,1),(257,1),(258,1)}
       230:{1,4,5,7}:{(196,1),(197,1),(198,1),(246,1),(253,1),(259,1)}
       231:{3,5,7}:{(197,1),(199,1),(247,1),(254,1),(288,1)}
       232:{1,3,5,6}:{(198,1),(199,1),(202,1),(249,1),(255,1),(259,1),(260,1)}
       233:{1,4}:{(200,1),(209,1),(250,1)}
       234:{1,3,5}:{(201,1),(203,1),(210,1),(251,1),(261,1),(262,1),(312,1)}
       235:{2,5}:{(202,1),(204,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(257,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(258,1),(263,1),(264,1),(295,1),(298,1)}
       238:{1,6,7}:{(205,1),(208,1),(295,1)}
       239:{2,3,7}:{(206,1),(207,1),(212,1),(265,1)}
       240:{1,4,7}:{(207,1),(208,1),(213,1),(265,1)}
       241:{3,4}:{(209,1),(210,1)}
       242:{2,3,5}:{(210,1),(211,1),(212,1),(266,1),(267,1)}
       243:{1,4,5}:{(211,1),(213,1),(263,1),(267,1),(298,1)}
       244:{1,3,6}:{(212,1),(213,1),(265,1),(267,1),(268,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(231,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(232,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(233,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(235,1),(272,1),(274,1),(275,1),(282,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(230,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(231,1)}
       255:{1,3,6}:{(225,1),(226,1),(227,1),(277,1)}
       256:{2,5,7}:{(227,1),(229,1),(235,1),(277,1),(278,1)}
       257:{2,3,7}:{(228,1),(229,1),(236,1),(279,1),(285,1),(313,1)}
       258:{1,4,7}:{(229,1),(237,1),(278,1),(279,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(232,1),(270,1),(276,1),(280,1)}
       260:{2,5,6}:{(232,1),(235,1),(272,1),(277,1),(280,1),(281,1)}
       261:{1,3,4}:{(233,1),(234,1),(241,1),(273,1),(282,1)}
       262:{2,3,5}:{(234,1),(235,1),(236,1),(282,1),(283,1),(287,1),(305,1),(308,1),(314,1)}
       263:{1,5}:{(235,1),(237,1)}
       264:{1,3,6}:{(236,1),(237,1),(279,1),(283,1),(284,1)}
       265:{1,3,7}:{(239,1),(240,1),(244,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(282,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(285,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(259,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(260,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(263,1),(291,1),(293,1),(298,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(259,1),(294,1)}
       277:{2,6}:{(255,1),(256,1),(295,1)}
       278:{1,5,7}:{(256,1),(258,1),(263,1),(295,1)}
       279:{1,3,7}:{(257,1),(258,1),(264,1),(296,1)}
       280:{2,5,7}:{(259,1),(260,1),(289,1),(294,1),(297,1)}
       281:{1,5,6}:{(260,1),(263,1),(291,1),(295,1),(297,1)}
       282:{2,4}:{(261,1),(262,1),(298,1)}
       283:{1,3,5}:{(262,1),(263,1),(264,1),(298,1),(299,1),(312,1)}
       284:{1,2,6}:{(264,1),(268,1),(296,1),(299,1),(310,1)}
       285:{2,7}:{(265,1),(268,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(280,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(281,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(282,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(280,1),(306,1)}
       295:{1,6}:{(277,1),(278,1)}
       296:{1,2,7}:{(279,1),(284,1),(285,1),(313,1)}
       297:{1,5,7}:{(280,1),(281,1),(302,1),(306,1)}
       298:{1,4}:{(282,1),(283,1)}
       299:{1,2,5}:{(283,1),(284,1),(287,1),(305,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(297,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(298,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(297,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1091 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1092 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1093 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(6,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(5,1),(7,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(84,1),(121,1)}
         5:{3,4,6,7}:{(2,1),(3,1),(12,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(115,1)}
         7:{2,4,5,7}:{(3,1),(4,1),(12,1),(14,1),(15,1),(96,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(11,1),(14,1),(16,1)}
         9:{1,4,5,6}:{(4,1),(15,1),(16,1),(17,1),(67,1),(116,1)}
        10:{2,3,4,5}:{(11,1),(18,1),(69,1),(100,1)}
        11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(73,1),(84,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(7,1),(21,1),(22,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(23,1),(106,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(19,1),(21,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(9,1),(22,1),(24,1),(25,1),(81,1),(106,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(20,1),(24,1),(26,1),(27,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(26,1),(27,1),(51,1),(79,1),(107,1)}
        18:{1,3,4,5}:{(10,1),(20,1),(28,1),(52,1),(53,1),(85,1)}
        19:{2,3,4,7}:{(11,1),(14,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(16,1),(18,1),(29,1),(30,1),(38,1),(57,1),(67,1)}
        21:{2,3,6,7}:{(12,1),(14,1),(31,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(15,1),(31,1),(32,1)}
        23:{2,5,6,7}:{(13,1),(32,1),(33,1),(94,1)}
        24:{1,3,5,7}:{(14,1),(15,1),(16,1),(29,1),(31,1),(34,1),(35,1)}
        25:{2,4,5,7}:{(15,1),(17,1),(32,1),(34,1),(35,1),(62,1),(64,1),(94,1)}
        26:{2,5,6}:{(16,1),(30,1),(34,1)}
        27:{3,5,6}:{(17,1),(35,1),(38,1)}
        28:{2,4,5}:{(18,1),(30,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(24,1),(41,1),(49,1),(71,1),(81,1)}
        30:{2,4,6}:{(20,1),(26,1),(28,1),(41,1),(43,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1)}
        32:{2,4,6,7}:{(22,1),(23,1),(25,1),(44,1),(45,1),(46,1)}
        33:{3,5,6,7}:{(23,1),(45,1),(46,1),(78,1)}
        34:{2,5,7}:{(24,1),(26,1),(41,1),(44,1)}
        35:{3,5,7}:{(25,1),(27,1),(45,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(42,1),(47,1),(50,1),(104,1),(119,1)}
        37:{2,3,5,6}:{(26,1),(27,1),(43,1),(48,1),(50,1),(51,1),(75,1),(103,1),(107,1)}
        38:{3,4,6}:{(27,1),(49,1),(51,1),(52,1)}
        39:{1,2,4,5}:{(28,1),(42,1),(53,1),(85,1),(86,1),(104,1)}
        40:{2,3,5}:{(28,1),(43,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(34,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(36,1),(39,1),(55,1),(57,1),(67,1),(90,1)}
        43:{2,3,6}:{(30,1),(40,1),(56,1),(57,1)}
        44:{2,6,7}:{(31,1),(34,1)}
        45:{3,6,7}:{(32,1),(35,1)}
        46:{4,6,7}:{(33,1),(62,1)}
        47:{1,2,5,7}:{(34,1),(36,1),(55,1),(59,1),(63,1),(112,1)}
        48:{2,3,5,7}:{(34,1),(35,1),(37,1),(56,1),(60,1),(63,1),(64,1),(94,1)}
        49:{3,4,7}:{(35,1),(38,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(57,1),(63,1),(66,1),(67,1),(91,1),(113,1),(116,1)}
        51:{2,4,6}:{(37,1),(38,1),(64,1),(67,1),(68,1)}
        52:{3,4,5}:{(38,1),(68,1)}
        53:{1,3,5}:{(39,1),(40,1),(57,1),(69,1),(70,1)}
        54:{2,3,4}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(47,1),(71,1),(81,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(53,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(51,1),(54,1),(72,1),(74,1),(75,1),(103,1)}
        59:{1,2,6,7}:{(44,1),(47,1),(76,1),(119,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(77,1),(103,1)}
        61:{3,4,6,7}:{(45,1),(46,1),(49,1),(77,1),(78,1),(83,1)}
        62:{4,5,7}:{(46,1),(78,1),(79,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(71,1),(76,1),(80,1),(81,1),(106,1)}
        64:{2,4,7}:{(48,1),(49,1),(51,1),(81,1)}
        65:{3,4,5,7}:{(49,1),(52,1),(78,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(50,1),(73,1),(80,1),(84,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        67:{1,4,6}:{(50,1),(51,1),(81,1),(84,1),(85,1)}
        68:{2,4,5}:{(51,1),(52,1),(75,1),(85,1)}
        69:{2,3,5}:{(53,1),(73,1),(86,1),(104,1)}
        70:{1,3,4}:{(53,1),(54,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(64,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(69,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(67,1),(70,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(68,1),(91,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(63,1),(92,1),(93,1),(113,1)}
        77:{2,4,6,7}:{(60,1),(61,1),(64,1),(93,1),(94,1),(98,1)}
        78:{3,5,7}:{(61,1),(62,1),(94,1),(95,1)}
        79:{4,5,6}:{(62,1),(95,1)}
        80:{2,3,5,7}:{(63,1),(66,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(96,1)}
        82:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(94,1),(97,1),(98,1)}
        83:{3,4,6}:{(65,1),(95,1),(98,1)}
        84:{2,4,6}:{(66,1),(67,1),(96,1),(99,1),(100,1)}
        85:{1,4,5}:{(67,1),(68,1),(91,1),(100,1)}
        86:{2,4}:{(69,1),(70,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(81,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(82,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(86,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(85,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(76,1),(80,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(76,1),(77,1),(81,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(77,1),(78,1),(106,1),(107,1)}
        95:{3,5,6}:{(78,1),(79,1),(83,1),(107,1)}
        96:{2,4,7}:{(80,1),(81,1),(84,1),(108,1)}
        97:{1,4,5,7}:{(81,1),(82,1),(85,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(82,1),(83,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(84,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(84,1),(85,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1094 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(64,1),(82,1),(145,1),(274,1),(343,1),(353,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(41,1),(55,1),(126,1),(186,1),(288,1),(381,1),(389,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(389,1),(397,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(38,1),(108,1),(118,1),(125,1),(223,1),(325,1),(398,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(51,1),(103,1),(195,1),(199,1),(227,1),(229,1),(297,1),(307,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(26,1),(83,1),(144,1),(273,1),(344,1),(353,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(19,1),(20,1),(29,1),(74,1),(82,1),(145,1),(245,1)}
         7:{3,4,6}:{(1,1),(20,1),(21,1),(422,1),(429,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(19,1),(23,1),(24,1),(28,1),(76,1),(437,1)}
         9:{2,3,6}:{(2,1),(20,1),(24,1),(429,1),(436,1)}
        10:{2,4,7}:{(3,1),(23,1),(26,1),(27,1),(373,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(24,1),(27,1),(28,1),(70,1),(86,1),(155,1),(158,1),(166,1),(176,1),(178,1),(278,1),(279,1),(356,1)}
        12:{2,3,5}:{(4,1),(28,1),(29,1),(245,1),(346,1),(355,1)}
        13:{3,4,5,7}:{(30,1),(31,1),(92,1),(106,1),(118,1),(194,1),(217,1),(315,1),(323,1)}
        14:{2,3,5,7}:{(5,1),(30,1),(32,1),(33,1),(36,1),(323,1),(397,1)}
        15:{1,3,4,7}:{(5,1),(32,1),(34,1),(35,1),(38,1),(108,1),(186,1),(193,1),(294,1),(391,1),(398,1)}
        16:{2,3,4,6}:{(5,1),(33,1),(35,1),(36,1),(52,1),(102,1),(127,1),(131,1),(226,1),(298,1),(300,1),(307,1)}
        17:{1,2,4,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(108,1),(398,1),(399,1)}
        18:{3,4,6,7}:{(7,1),(40,1),(41,1),(114,1),(126,1),(212,1)}
        19:{1,4,5,7}:{(6,1),(8,1),(42,1),(43,1),(54,1),(108,1),(116,1),(125,1),(205,1)}
        20:{2,4,6}:{(6,1),(7,1),(9,1),(43,1),(44,1)}
        21:{3,5,6}:{(7,1),(41,1),(44,1),(45,1),(288,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(46,1),(47,1),(212,1),(313,1)}
        23:{2,5,7}:{(8,1),(10,1),(49,1),(53,1)}
        24:{1,3,6}:{(8,1),(9,1),(43,1),(49,1),(119,1),(469,1)}
        25:{2,3,5,6}:{(9,1),(12,1),(44,1),(47,1),(50,1),(51,1),(122,1),(220,1),(227,1)}
        26:{2,3,7}:{(10,1),(38,1),(52,1),(223,1)}
        27:{2,4,6}:{(10,1),(11,1),(49,1),(52,1),(53,1),(131,1),(328,1),(329,1)}
        28:{1,3,5}:{(11,1),(12,1),(53,1),(54,1),(132,1),(205,1),(217,1),(400,1)}
        29:{2,4,5}:{(12,1),(51,1),(54,1),(55,1),(199,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(57,1),(58,1),(67,1),(83,1),(136,1),(144,1),(174,1)}
        31:{3,4,6}:{(13,1),(58,1),(59,1),(363,1),(370,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(57,1),(61,1),(62,1),(66,1),(138,1),(437,1)}
        33:{2,3,6}:{(14,1),(58,1),(62,1),(370,1),(436,1)}
        34:{2,4,7}:{(15,1),(61,1),(64,1),(65,1),(432,1)}
        35:{1,3,4,6}:{(15,1),(16,1),(62,1),(65,1),(66,1),(70,1),(148,1),(155,1),(158,1),(237,1),(247,1),(249,1),(348,1),(349,1),(356,1)}
        36:{2,3,5}:{(16,1),(66,1),(67,1),(174,1),(276,1),(355,1)}
        37:{1,2,5,7}:{(17,1),(23,1),(61,1),(68,1),(69,1),(71,1),(437,1)}
        38:{1,3,7}:{(17,1),(26,1),(64,1),(70,1)}
        39:{1,2,4,6}:{(17,1),(27,1),(65,1),(69,1),(70,1),(71,1),(155,1),(158,1),(356,1),(357,1),(358,1)}
        40:{2,4,6,7}:{(18,1),(20,1),(22,1),(73,1),(74,1),(82,1)}
        41:{3,5,7}:{(18,1),(21,1),(74,1),(75,1)}
        42:{2,4,5,7}:{(19,1),(23,1),(76,1),(77,1),(83,1),(89,1),(163,1),(172,1),(174,1),(264,1),(267,1)}
        43:{1,4,6}:{(19,1),(20,1),(24,1),(77,1),(78,1)}
        44:{2,5,6}:{(20,1),(21,1),(74,1),(78,1),(245,1)}
        45:{4,5,6}:{(21,1),(75,1),(337,1),(422,1)}
        46:{1,3,6,7}:{(22,1),(24,1),(73,1),(80,1),(81,1),(162,1),(362,1)}
        47:{2,3,5,7}:{(22,1),(25,1),(74,1),(81,1),(82,1),(165,1),(266,1),(274,1)}
        48:{2,3,5,7}:{(23,1),(26,1),(68,1),(76,1),(83,1),(84,1),(88,1),(174,1)}
        49:{2,6}:{(23,1),(24,1)}
        50:{1,3,5,6}:{(24,1),(25,1),(28,1),(78,1),(81,1),(85,1),(86,1),(167,1),(176,1),(270,1),(278,1)}
        51:{2,4,6}:{(25,1),(29,1),(82,1),(86,1),(87,1)}
        52:{2,3,6}:{(26,1),(27,1),(70,1),(88,1),(176,1),(376,1)}
        53:{2,5}:{(27,1),(28,1)}
        54:{1,4,5}:{(28,1),(29,1),(86,1),(89,1),(158,1),(267,1)}
        55:{3,4,5}:{(29,1),(87,1),(249,1),(346,1),(549,1)}
        56:{3,4,6,7}:{(31,1),(91,1),(92,1),(182,1),(194,1),(283,1)}
        57:{1,4,5,7}:{(30,1),(32,1),(93,1),(94,1),(105,1),(108,1),(184,1),(193,1),(205,1)}
        58:{2,4,6}:{(30,1),(31,1),(33,1),(94,1),(95,1)}
        59:{3,5,6}:{(31,1),(92,1),(95,1),(96,1),(217,1)}
        60:{2,3,6,7}:{(33,1),(91,1),(97,1),(98,1),(283,1),(379,1)}
        61:{2,5,7}:{(32,1),(34,1),(100,1),(104,1)}
        62:{1,3,6}:{(32,1),(33,1),(94,1),(100,1),(187,1),(469,1)}
        63:{2,3,5,6}:{(33,1),(36,1),(95,1),(98,1),(101,1),(102,1),(190,1),(291,1),(298,1)}
        64:{2,3,7}:{(34,1),(38,1),(103,1),(294,1)}
        65:{2,4,6}:{(34,1),(35,1),(100,1),(103,1),(104,1),(199,1),(394,1),(395,1)}
        66:{1,3,5}:{(35,1),(36,1),(104,1),(105,1),(200,1),(205,1),(288,1),(400,1)}
        67:{2,4,5}:{(36,1),(102,1),(105,1),(106,1),(131,1)}
        68:{1,3,5,7}:{(37,1),(38,1),(48,1),(99,1),(108,1),(109,1),(111,1),(205,1)}
        69:{1,2,6}:{(37,1),(49,1),(100,1),(109,1),(469,1)}
        70:{1,3,6}:{(38,1),(39,1),(52,1),(103,1),(111,1),(402,1)}
        71:{1,2,5}:{(39,1),(53,1),(104,1),(111,1),(205,1),(400,1)}
        72:{3,5,6,7}:{(41,1),(113,1),(114,1),(212,1),(380,1),(520,1)}
        73:{1,4,6,7}:{(40,1),(43,1),(46,1),(115,1),(116,1),(125,1)}
        74:{2,5,7}:{(40,1),(41,1),(44,1),(116,1)}
        75:{4,5,7}:{(41,1),(45,1),(114,1)}
        76:{3,5,7}:{(42,1),(118,1),(119,1),(132,1),(217,1),(223,1)}
        77:{2,4,6}:{(42,1),(43,1),(49,1),(119,1),(120,1),(218,1)}
        78:{1,5,6}:{(43,1),(44,1),(116,1),(120,1),(205,1)}
        79:{2,4,5,6}:{(44,1),(45,1),(51,1),(117,1),(121,1),(122,1),(220,1),(296,1),(388,1),(412,1),(519,1),(543,1)}
        80:{2,6,7}:{(46,1),(49,1),(124,1)}
        81:{1,3,5,7}:{(46,1),(47,1),(50,1),(116,1),(124,1),(125,1),(214,1),(223,1),(318,1),(325,1)}
        82:{2,4,7}:{(47,1),(51,1),(125,1),(126,1)}
        83:{2,4,7}:{(48,1),(108,1),(118,1),(127,1),(131,1)}
        84:{2,3,6}:{(48,1),(49,1),(109,1),(119,1),(127,1)}
        85:{2,5,6}:{(49,1),(50,1),(53,1),(124,1),(129,1),(328,1)}
        86:{1,4,6}:{(50,1),(51,1),(54,1),(125,1),(129,1),(218,1)}
        87:{3,4,6}:{(51,1),(55,1),(122,1),(126,1),(543,1)}
        88:{2,3,5}:{(52,1),(53,1),(111,1),(131,1),(132,1)}
        89:{2,4,5}:{(53,1),(54,1),(129,1),(131,1),(132,1)}
        90:{1,3,4,5}:{(54,1),(55,1),(130,1),(132,1),(133,1),(208,1),(230,1),(306,1),(319,1),(411,1),(479,1)}
        91:{2,4,6,7}:{(56,1),(58,1),(60,1),(135,1),(136,1),(144,1)}
        92:{3,5,7}:{(56,1),(59,1),(136,1),(137,1)}
        93:{2,4,5,7}:{(57,1),(61,1),(138,1),(139,1),(145,1),(151,1),(234,1),(243,1),(245,1),(334,1),(337,1)}
        94:{1,4,6}:{(57,1),(58,1),(62,1),(139,1),(140,1)}
        95:{2,5,6}:{(58,1),(59,1),(136,1),(140,1),(174,1)}
        96:{4,5,6}:{(59,1),(137,1),(267,1),(363,1)}
        97:{1,3,6,7}:{(60,1),(62,1),(135,1),(142,1),(143,1),(233,1),(421,1)}
        98:{2,3,5,7}:{(60,1),(63,1),(136,1),(143,1),(144,1),(236,1),(336,1),(344,1)}
        99:{2,3,5,7}:{(61,1),(64,1),(68,1),(138,1),(145,1),(146,1),(150,1),(245,1)}
       100:{2,6}:{(61,1),(62,1)}
       101:{1,3,5,6}:{(62,1),(63,1),(66,1),(140,1),(143,1),(147,1),(148,1),(238,1),(247,1),(340,1),(348,1)}
       102:{2,4,6}:{(63,1),(67,1),(144,1),(148,1),(149,1)}
       103:{2,3,6}:{(64,1),(65,1),(70,1),(150,1),(247,1),(435,1)}
       104:{2,5}:{(65,1),(66,1)}
       105:{1,4,5}:{(66,1),(67,1),(148,1),(151,1),(158,1),(337,1)}
       106:{3,4,5}:{(67,1),(149,1),(178,1),(276,1),(552,1)}
       107:{1,2,6,7}:{(69,1),(80,1),(142,1),(153,1),(154,1),(362,1),(421,1),(436,1),(444,1),(486,1),(496,1)}
       108:{1,4,7}:{(68,1),(83,1),(145,1),(155,1),(158,1)}
       109:{1,3,6}:{(68,1),(69,1),(84,1),(146,1),(155,1)}
       110:{1,2,5,6}:{(69,1),(71,1),(85,1),(147,1),(154,1),(156,1),(157,1),(270,1),(340,1),(355,1),(357,1),(369,1),(428,1),(436,1),(439,1),(496,1)}
       111:{1,3,5}:{(70,1),(71,1),(88,1),(150,1),(158,1)}
       112:{1,2,4,5}:{(71,1),(89,1),(151,1),(157,1),(158,1),(159,1),(180,1),(251,1),(255,1),(258,1),(280,1),(350,1),(355,1),(358,1),(439,1),(448,1),(490,1),(498,1)}
       113:{2,5,6,7}:{(72,1),(74,1),(160,1),(161,1),(341,1),(500,1)}
       114:{4,6,7}:{(72,1),(75,1),(422,1),(534,1)}
       115:{2,4,6,7}:{(73,1),(77,1),(80,1),(162,1),(163,1),(172,1),(264,1)}
       116:{1,5,7}:{(73,1),(74,1),(78,1),(163,1)}
       117:{2,4,5,7}:{(74,1),(75,1),(79,1),(82,1),(161,1),(164,1),(165,1),(266,1),(447,1),(500,1),(534,1)}
       118:{3,4,7}:{(76,1),(83,1),(166,1),(178,1),(264,1)}
       119:{3,6}:{(76,1),(77,1)}
       120:{2,5,6}:{(77,1),(78,1),(163,1),(167,1),(174,1)}
       121:{1,4,5,6}:{(78,1),(79,1),(86,1),(164,1),(168,1),(169,1),(255,1),(270,1),(351,1),(368,1),(499,1)}
       122:{3,5,6}:{(79,1),(87,1),(165,1),(346,1),(429,1),(449,1)}
       123:{2,3,6,7}:{(80,1),(84,1),(153,1),(162,1),(170,1),(171,1),(370,1),(436,1),(486,1),(526,1),(530,1)}
       124:{2,5,7}:{(80,1),(81,1),(85,1),(172,1),(373,1)}
       125:{1,4,7}:{(81,1),(82,1),(86,1),(172,1),(264,1)}
       126:{3,4,7}:{(82,1),(87,1),(165,1),(534,1)}
       127:{2,4,6}:{(83,1),(84,1),(155,1),(166,1),(174,1)}
       128:{2,3,5,6}:{(84,1),(85,1),(88,1),(156,1),(167,1),(171,1),(174,1),(175,1),(176,1),(257,1),(271,1),(276,1),(355,1),(370,1),(428,1),(436,1),(491,1),(495,1),(530,1),(545,1),(548,1)}
       129:{2,4,6}:{(85,1),(86,1),(89,1),(172,1),(176,1)}
       130:{1,3,4,6}:{(86,1),(87,1),(90,1),(169,1),(173,1),(176,1),(177,1),(268,1),(278,1),(368,1),(449,1)}
       131:{2,4}:{(88,1),(158,1),(178,1)}
       132:{3,5}:{(89,1),(176,1),(178,1)}
       133:{2,4,5}:{(90,1),(177,1),(179,1),(180,1),(258,1),(280,1),(355,1)}
       134:{3,5,6,7}:{(92,1),(181,1),(182,1),(283,1),(314,1),(538,1)}
       135:{1,4,6,7}:{(91,1),(94,1),(97,1),(183,1),(184,1),(193,1)}
       136:{2,5,7}:{(91,1),(92,1),(95,1),(184,1)}
       137:{4,5,7}:{(92,1),(96,1),(182,1)}
       138:{3,5,7}:{(93,1),(186,1),(187,1),(200,1),(288,1),(294,1)}
       139:{2,4,6}:{(93,1),(94,1),(100,1),(187,1),(188,1),(289,1)}
       140:{1,5,6}:{(94,1),(95,1),(184,1),(188,1),(205,1)}
       141:{2,4,5,6}:{(95,1),(96,1),(102,1),(185,1),(189,1),(190,1),(225,1),(291,1),(322,1),(463,1),(537,1),(550,1)}
       142:{2,6,7}:{(97,1),(100,1),(192,1)}
       143:{1,3,5,7}:{(97,1),(98,1),(101,1),(184,1),(192,1),(193,1),(285,1),(294,1),(384,1),(391,1)}
       144:{2,4,7}:{(98,1),(102,1),(193,1),(194,1)}
       145:{2,4,7}:{(99,1),(108,1),(186,1),(195,1),(199,1)}
       146:{2,3,6}:{(99,1),(100,1),(109,1),(187,1),(195,1)}
       147:{2,5,6}:{(100,1),(101,1),(104,1),(192,1),(197,1),(394,1)}
       148:{1,4,6}:{(101,1),(102,1),(105,1),(193,1),(197,1),(289,1)}
       149:{3,4,6}:{(102,1),(106,1),(190,1),(194,1),(550,1)}
       150:{2,3,5}:{(103,1),(104,1),(111,1),(199,1),(200,1)}
       151:{2,4,5}:{(104,1),(105,1),(197,1),(199,1),(200,1)}
       152:{1,3,4,5}:{(105,1),(106,1),(198,1),(200,1),(201,1),(208,1),(301,1),(306,1),(385,1),(462,1),(513,1)}
       153:{1,3,6,7}:{(107,1),(109,1),(123,1),(191,1),(202,1),(203,1),(396,1),(469,1),(517,1)}
       154:{1,2,5,7}:{(107,1),(110,1),(124,1),(192,1),(203,1),(204,1),(318,1),(384,1),(397,1),(399,1),(410,1),(461,1)}
       155:{1,4,6}:{(108,1),(109,1),(127,1),(195,1),(205,1)}
       156:{1,3,5,6}:{(109,1),(110,1),(111,1),(128,1),(196,1),(203,1),(205,1),(206,1),(207,1),(302,1),(306,1),(308,1),(396,1),(400,1),(469,1),(472,1),(517,1),(542,1)}
       157:{1,2,4,6}:{(110,1),(112,1),(129,1),(197,1),(204,1),(206,1),(207,1),(228,1),(299,1),(307,1),(328,1),(394,1),(412,1),(463,1)}
       158:{1,4}:{(111,1),(131,1),(199,1)}
       159:{1,3,5}:{(112,1),(132,1),(200,1),(207,1),(208,1),(209,1),(402,1),(479,1),(513,1)}
       160:{1,5,6,7}:{(113,1),(116,1),(210,1),(211,1),(302,1),(474,1)}
       161:{2,4,6,7}:{(113,1),(114,1),(117,1),(211,1),(212,1),(313,1),(388,1)}
       162:{3,6,7}:{(115,1),(119,1),(214,1),(223,1)}
       163:{2,5,7}:{(115,1),(116,1),(120,1),(214,1)}
       164:{1,4,5,7}:{(116,1),(117,1),(121,1),(125,1),(211,1),(215,1),(216,1),(318,1),(409,1),(474,1)}
       165:{3,5,7}:{(117,1),(122,1),(126,1),(212,1),(478,1)}
       166:{3,4,6}:{(118,1),(119,1),(127,1),(217,1),(218,1)}
       167:{3,5,6}:{(119,1),(120,1),(214,1),(217,1),(218,1)}
       168:{2,4,5,6}:{(120,1),(121,1),(129,1),(215,1),(218,1),(219,1),(220,1),(225,1),(320,1),(322,1),(403,1),(473,1)}
       169:{1,3,5,6}:{(121,1),(122,1),(130,1),(216,1),(219,1),(220,1),(306,1),(396,1)}
       170:{2,4,6,7}:{(123,1),(127,1),(202,1),(213,1),(221,1),(222,1),(322,1),(541,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(128,1),(203,1),(214,1),(221,1),(222,1),(223,1),(305,1),(323,1),(397,1),(461,1),(512,1),(538,1)}
       172:{2,4,7}:{(124,1),(125,1),(129,1),(223,1)}
       173:{1,3,4,7}:{(125,1),(126,1),(130,1),(216,1),(223,1),(224,1),(316,1),(325,1),(409,1),(478,1)}
       174:{2,5}:{(127,1),(205,1),(217,1)}
       175:{2,4,6}:{(128,1),(131,1),(206,1),(218,1),(222,1),(225,1),(226,1),(516,1),(550,1)}
       176:{3,6}:{(129,1),(132,1),(223,1)}
       177:{2,4,6}:{(130,1),(133,1),(220,1),(224,1),(227,1),(228,1),(328,1)}
       178:{3,4}:{(131,1),(132,1)}
       179:{2,3,5}:{(132,1),(133,1),(227,1),(229,1),(230,1),(479,1)}
       180:{1,4,5}:{(133,1),(228,1),(230,1),(309,1),(400,1)}
       181:{2,5,6,7}:{(134,1),(136,1),(231,1),(232,1),(271,1),(525,1)}
       182:{4,6,7}:{(134,1),(137,1),(363,1),(546,1)}
       183:{2,4,6,7}:{(135,1),(139,1),(142,1),(233,1),(234,1),(243,1),(334,1)}
       184:{1,5,7}:{(135,1),(136,1),(140,1),(234,1)}
       185:{2,4,5,7}:{(136,1),(137,1),(141,1),(144,1),(232,1),(235,1),(236,1),(336,1),(489,1),(525,1),(546,1)}
       186:{3,4,7}:{(138,1),(145,1),(237,1),(249,1),(334,1)}
       187:{3,6}:{(138,1),(139,1)}
       188:{2,5,6}:{(139,1),(140,1),(234,1),(238,1),(245,1)}
       189:{1,4,5,6}:{(140,1),(141,1),(148,1),(235,1),(239,1),(240,1),(255,1),(340,1),(351,1),(427,1),(524,1)}
       190:{3,5,6}:{(141,1),(149,1),(236,1),(276,1),(370,1),(491,1)}
       191:{2,3,6,7}:{(142,1),(146,1),(153,1),(233,1),(241,1),(242,1),(429,1),(436,1),(444,1),(501,1),(505,1)}
       192:{2,5,7}:{(142,1),(143,1),(147,1),(243,1),(432,1)}
       193:{1,4,7}:{(143,1),(144,1),(148,1),(243,1),(334,1)}
       194:{3,4,7}:{(144,1),(149,1),(236,1),(546,1)}
       195:{2,4,6}:{(145,1),(146,1),(155,1),(237,1),(245,1)}
       196:{2,3,5,6}:{(146,1),(147,1),(150,1),(156,1),(238,1),(242,1),(245,1),(246,1),(247,1),(257,1),(341,1),(346,1),(355,1),(369,1),(429,1),(436,1),(449,1),(453,1),(505,1),(533,1),(536,1)}
       197:{2,4,6}:{(147,1),(148,1),(151,1),(243,1),(247,1)}
       198:{1,3,4,6}:{(148,1),(149,1),(152,1),(240,1),(244,1),(247,1),(248,1),(338,1),(348,1),(427,1),(491,1)}
       199:{2,4}:{(150,1),(158,1),(249,1)}
       200:{3,5}:{(151,1),(247,1),(249,1)}
       201:{2,4,5}:{(152,1),(248,1),(250,1),(251,1),(258,1),(350,1),(355,1)}
       202:{1,4,6,7}:{(153,1),(155,1),(170,1),(241,1),(252,1),(253,1),(351,1),(532,1)}
       203:{1,3,5,7}:{(153,1),(154,1),(156,1),(171,1),(242,1),(252,1),(253,1),(254,1),(354,1),(437,1)}
       204:{1,2,4,7}:{(154,1),(157,1),(172,1),(243,1),(253,1),(254,1),(275,1),(345,1),(353,1),(373,1),(432,1),(447,1),(489,1)}
       205:{1,5}:{(155,1),(174,1),(245,1)}
       206:{1,4,6}:{(156,1),(158,1),(175,1),(246,1),(253,1),(255,1),(498,1)}
       207:{1,3,6}:{(157,1),(159,1),(176,1),(247,1),(254,1),(257,1),(449,1),(491,1)}
       208:{1,3,4}:{(158,1),(159,1),(178,1),(249,1),(258,1),(498,1),(504,1),(529,1)}
       209:{2,3,5}:{(159,1),(257,1),(258,1),(259,1),(280,1),(350,1),(355,1),(376,1),(435,1)}
       210:{2,5,6,7}:{(160,1),(163,1),(260,1),(261,1),(271,1),(442,1)}
       211:{1,4,6,7}:{(160,1),(161,1),(164,1),(261,1),(262,1),(351,1),(362,1)}
       212:{3,6,7}:{(161,1),(165,1),(429,1)}
       213:{3,4,6,7}:{(162,1),(166,1),(170,1),(263,1),(264,1),(273,1),(363,1),(370,1),(526,1),(546,1),(547,1)}
       214:{3,5,7}:{(162,1),(163,1),(167,1),(264,1)}
       215:{2,4,5,7}:{(163,1),(164,1),(168,1),(172,1),(261,1),(264,1),(265,1),(266,1),(359,1),(365,1),(442,1)}
       216:{1,3,5,7}:{(164,1),(165,1),(169,1),(173,1),(262,1),(265,1),(266,1)}
       217:{3,5}:{(166,1),(174,1),(267,1)}
       218:{4,6}:{(167,1),(264,1),(267,1)}
       219:{3,5,6}:{(168,1),(176,1),(265,1),(268,1),(276,1),(370,1)}
       220:{2,5,6}:{(169,1),(177,1),(266,1),(270,1),(355,1),(436,1)}
       221:{2,5,7}:{(170,1),(174,1),(252,1),(263,1),(271,1),(548,1)}
       222:{2,4,7}:{(171,1),(175,1),(253,1),(264,1),(273,1),(546,1)}
       223:{3,7}:{(172,1),(176,1)}
       224:{2,4,7}:{(173,1),(177,1),(266,1),(274,1),(275,1),(373,1)}
       225:{2,4,5}:{(174,1),(175,1),(255,1),(267,1),(276,1),(355,1),(548,1),(552,1)}
       226:{3,4,6}:{(175,1),(176,1),(178,1),(273,1),(276,1),(370,1),(491,1),(529,1)}
       227:{2,3,6}:{(176,1),(177,1),(179,1),(274,1),(278,1),(449,1)}
       228:{1,4,6}:{(177,1),(180,1),(270,1),(275,1),(278,1)}
       229:{2,3,4}:{(178,1),(179,1),(258,1),(279,1),(435,1),(504,1)}
       230:{1,3,5}:{(179,1),(180,1),(278,1),(279,1),(280,1)}
       231:{1,5,6,7}:{(181,1),(184,1),(281,1),(282,1),(302,1),(508,1)}
       232:{2,4,6,7}:{(181,1),(182,1),(185,1),(282,1),(283,1),(322,1),(379,1)}
       233:{3,6,7}:{(183,1),(187,1),(285,1),(294,1)}
       234:{2,5,7}:{(183,1),(184,1),(188,1),(285,1)}
       235:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(282,1),(286,1),(287,1),(384,1),(460,1),(508,1)}
       236:{3,5,7}:{(185,1),(190,1),(194,1),(283,1),(512,1)}
       237:{3,4,6}:{(186,1),(187,1),(195,1),(288,1),(289,1)}
       238:{3,5,6}:{(187,1),(188,1),(285,1),(288,1),(289,1)}
       239:{2,4,5,6}:{(188,1),(189,1),(197,1),(286,1),(289,1),(290,1),(291,1),(296,1),(386,1),(388,1),(454,1),(507,1)}
       240:{1,3,5,6}:{(189,1),(190,1),(198,1),(287,1),(290,1),(291,1),(306,1),(396,1)}
       241:{2,4,6,7}:{(191,1),(195,1),(202,1),(284,1),(292,1),(293,1),(388,1),(523,1)}
       242:{2,3,5,7}:{(191,1),(192,1),(196,1),(203,1),(285,1),(292,1),(293,1),(294,1),(305,1),(389,1),(397,1),(410,1),(478,1),(520,1)}
       243:{2,4,7}:{(192,1),(193,1),(197,1),(294,1)}
       244:{1,3,4,7}:{(193,1),(194,1),(198,1),(287,1),(294,1),(295,1),(382,1),(391,1),(460,1),(512,1)}
       245:{2,5}:{(195,1),(205,1),(288,1)}
       246:{2,4,6}:{(196,1),(199,1),(206,1),(289,1),(293,1),(296,1),(297,1),(482,1),(543,1)}
       247:{3,6}:{(197,1),(200,1),(294,1)}
       248:{2,4,6}:{(198,1),(201,1),(291,1),(295,1),(298,1),(299,1),(394,1)}
       249:{3,4}:{(199,1),(200,1)}
       250:{2,3,5}:{(200,1),(201,1),(298,1),(300,1),(301,1),(513,1)}
       251:{1,4,5}:{(201,1),(299,1),(301,1),(309,1),(400,1)}
       252:{1,5,7}:{(202,1),(205,1),(221,1),(292,1),(302,1),(542,1)}
       253:{1,4,7}:{(203,1),(206,1),(222,1),(293,1)}
       254:{1,3,7}:{(204,1),(207,1),(223,1),(294,1),(305,1),(478,1),(512,1)}
       255:{1,4,5}:{(205,1),(206,1),(225,1),(296,1),(306,1),(400,1),(542,1)}
       256:{1,3,4,6}:{(206,1),(207,1),(208,1),(226,1),(297,1),(304,1),(306,1),(307,1),(396,1)}
       257:{2,3,6}:{(207,1),(209,1),(305,1),(307,1),(308,1),(328,1),(394,1)}
       258:{2,4}:{(208,1),(209,1),(309,1)}
       259:{1,3,5}:{(209,1),(308,1),(309,1),(310,1),(400,1),(402,1)}
       260:{3,5,6,7}:{(210,1),(214,1),(311,1),(312,1),(314,1),(404,1)}
       261:{2,4,6,7}:{(210,1),(211,1),(215,1),(311,1),(312,1),(313,1),(322,1)}
       262:{1,3,6,7}:{(211,1),(212,1),(216,1),(312,1),(313,1),(396,1)}
       263:{3,5,7}:{(213,1),(217,1),(221,1),(314,1),(315,1),(551,1)}
       264:{4,7}:{(214,1),(218,1)}
       265:{3,5,7}:{(215,1),(219,1),(223,1),(312,1),(316,1)}
       266:{2,5,7}:{(216,1),(220,1),(224,1),(313,1),(318,1)}
       267:{4,5}:{(217,1),(218,1)}
       268:{3,4,6}:{(218,1),(219,1),(316,1),(319,1),(320,1)}
       269:{2,3,5,6}:{(219,1),(220,1),(227,1),(317,1),(320,1),(321,1),(326,1),(413,1),(473,1)}
       270:{1,5,6}:{(220,1),(228,1),(318,1),(400,1),(469,1)}
       271:{2,5,6}:{(221,1),(302,1),(314,1),(322,1)}
       272:{2,4,5,7}:{(221,1),(222,1),(225,1),(303,1),(315,1),(322,1),(323,1),(397,1)}
       273:{3,4,7}:{(222,1),(223,1),(226,1),(323,1),(512,1)}
       274:{2,3,7}:{(223,1),(224,1),(227,1),(325,1),(478,1)}
       275:{1,4,7}:{(224,1),(228,1),(318,1),(325,1)}
       276:{3,5}:{(225,1),(226,1)}
       277:{2,3,4,6}:{(226,1),(227,1),(229,1),(307,1),(320,1),(324,1),(326,1),(327,1),(413,1),(468,1),(516,1),(541,1)}
       278:{1,3,6}:{(227,1),(228,1),(230,1),(325,1),(328,1)}
       279:{1,3,4}:{(229,1),(230,1),(309,1),(329,1),(402,1)}
       280:{2,5}:{(230,1),(328,1),(329,1)}
       281:{2,5,6,7}:{(231,1),(234,1),(330,1),(331,1),(341,1),(484,1)}
       282:{1,4,6,7}:{(231,1),(232,1),(235,1),(331,1),(332,1),(351,1),(421,1)}
       283:{3,6,7}:{(232,1),(236,1),(370,1)}
       284:{3,4,6,7}:{(233,1),(237,1),(241,1),(333,1),(334,1),(343,1),(422,1),(429,1),(501,1),(534,1),(535,1)}
       285:{3,5,7}:{(233,1),(234,1),(238,1),(334,1)}
       286:{2,4,5,7}:{(234,1),(235,1),(239,1),(243,1),(331,1),(334,1),(335,1),(336,1),(418,1),(424,1),(484,1)}
       287:{1,3,5,7}:{(235,1),(236,1),(240,1),(244,1),(332,1),(335,1),(336,1)}
       288:{3,5}:{(237,1),(245,1),(337,1)}
       289:{4,6}:{(238,1),(334,1),(337,1)}
       290:{3,5,6}:{(239,1),(247,1),(335,1),(338,1),(346,1),(429,1)}
       291:{2,5,6}:{(240,1),(248,1),(336,1),(340,1),(355,1),(436,1)}
       292:{2,5,7}:{(241,1),(245,1),(252,1),(333,1),(341,1),(536,1)}
       293:{2,4,7}:{(242,1),(246,1),(253,1),(334,1),(343,1),(534,1)}
       294:{3,7}:{(243,1),(247,1)}
       295:{2,4,7}:{(244,1),(248,1),(336,1),(344,1),(345,1),(432,1)}
       296:{2,4,5}:{(245,1),(246,1),(255,1),(337,1),(346,1),(355,1),(536,1),(549,1)}
       297:{3,4,6}:{(246,1),(247,1),(249,1),(343,1),(346,1),(429,1),(449,1),(504,1)}
       298:{2,3,6}:{(247,1),(248,1),(250,1),(344,1),(348,1),(491,1)}
       299:{1,4,6}:{(248,1),(251,1),(340,1),(345,1),(348,1)}
       300:{2,3,4}:{(249,1),(250,1),(258,1),(349,1),(376,1),(529,1)}
       301:{1,3,5}:{(250,1),(251,1),(348,1),(349,1),(350,1)}
       302:{1,5,6}:{(252,1),(271,1),(341,1),(351,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(255,1),(272,1),(342,1),(351,1),(352,1),(437,1)}
       304:{1,3,4,7}:{(253,1),(254,1),(256,1),(273,1),(343,1),(352,1),(353,1)}
       305:{2,3,7}:{(254,1),(257,1),(353,1),(354,1),(373,1),(432,1)}
       306:{1,3,5}:{(255,1),(256,1),(276,1),(346,1),(355,1)}
       307:{2,4,6}:{(256,1),(257,1),(258,1),(353,1),(355,1),(356,1),(436,1)}
       308:{1,3,6}:{(257,1),(259,1),(354,1),(356,1),(357,1)}
       309:{1,4}:{(258,1),(259,1)}
       310:{1,2,5}:{(259,1),(280,1),(350,1),(357,1),(358,1)}
       311:{4,6,7}:{(260,1),(264,1),(359,1),(363,1)}
       312:{3,6,7}:{(261,1),(265,1),(370,1)}
       313:{2,6,7}:{(262,1),(266,1),(362,1),(436,1)}
       314:{3,5,6}:{(263,1),(271,1),(363,1),(370,1)}
       315:{4,5,7}:{(263,1),(264,1),(267,1),(363,1),(546,1),(552,1)}
       316:{3,4,7}:{(264,1),(265,1),(268,1),(365,1)}
       317:{2,3,5,7}:{(265,1),(266,1),(269,1),(274,1),(361,1),(365,1),(366,1),(442,1)}
       318:{1,5,7}:{(266,1),(270,1),(275,1),(362,1)}
       319:{3,4,5}:{(267,1),(268,1),(276,1),(367,1),(529,1)}
       320:{2,4,6}:{(268,1),(269,1),(365,1),(367,1),(368,1)}
       321:{1,3,5,6}:{(269,1),(270,1),(278,1),(366,1),(368,1),(369,1),(374,1),(449,1),(450,1),(499,1),(533,1)}
       322:{2,4,6}:{(271,1),(272,1),(351,1),(363,1),(370,1),(436,1)}
       323:{3,5,7}:{(272,1),(273,1),(276,1),(370,1)}
       324:{2,3,4,7}:{(273,1),(274,1),(277,1),(353,1),(365,1),(371,1),(372,1),(494,1),(531,1)}
       325:{1,3,7}:{(274,1),(275,1),(278,1),(373,1)}
       326:{2,3,5}:{(276,1),(277,1),(355,1),(367,1),(374,1),(548,1)}
       327:{1,3,4,6}:{(277,1),(278,1),(279,1),(356,1),(368,1),(372,1),(374,1),(375,1),(440,1),(449,1),(450,1),(498,1),(504,1),(532,1),(535,1)}
       328:{2,6}:{(278,1),(280,1),(373,1)}
       329:{2,4}:{(279,1),(280,1),(376,1)}
       330:{3,5,6,7}:{(281,1),(285,1),(377,1),(378,1),(380,1),(455,1)}
       331:{2,4,6,7}:{(281,1),(282,1),(286,1),(377,1),(378,1),(379,1),(388,1)}
       332:{1,3,6,7}:{(282,1),(283,1),(287,1),(378,1),(379,1),(396,1)}
       333:{3,5,7}:{(284,1),(288,1),(292,1),(380,1),(381,1),(544,1)}
       334:{4,7}:{(285,1),(289,1)}
       335:{3,5,7}:{(286,1),(290,1),(294,1),(378,1),(382,1)}
       336:{2,5,7}:{(287,1),(291,1),(295,1),(379,1),(384,1)}
       337:{4,5}:{(288,1),(289,1)}
       338:{3,4,6}:{(289,1),(290,1),(382,1),(385,1),(386,1)}
       339:{2,3,5,6}:{(290,1),(291,1),(298,1),(383,1),(386,1),(387,1),(392,1),(464,1),(507,1)}
       340:{1,5,6}:{(291,1),(299,1),(384,1),(400,1),(469,1)}
       341:{2,5,6}:{(292,1),(302,1),(380,1),(388,1)}
       342:{2,4,5,7}:{(292,1),(293,1),(296,1),(303,1),(381,1),(388,1),(389,1),(397,1)}
       343:{3,4,7}:{(293,1),(294,1),(297,1),(389,1),(478,1)}
       344:{2,3,7}:{(294,1),(295,1),(298,1),(391,1),(512,1)}
       345:{1,4,7}:{(295,1),(299,1),(384,1),(391,1)}
       346:{3,5}:{(296,1),(297,1)}
       347:{2,3,4,6}:{(297,1),(298,1),(300,1),(307,1),(386,1),(390,1),(392,1),(393,1),(417,1),(464,1),(482,1),(523,1)}
       348:{1,3,6}:{(298,1),(299,1),(301,1),(391,1),(394,1)}
       349:{1,3,4}:{(300,1),(301,1),(309,1),(395,1),(402,1)}
       350:{2,5}:{(301,1),(394,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(322,1),(388,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(306,1),(323,1),(389,1),(396,1),(397,1)}
       353:{2,4,7}:{(304,1),(305,1),(307,1),(397,1),(398,1)}
       354:{1,3,7}:{(305,1),(308,1),(398,1),(399,1)}
       355:{2,5}:{(306,1),(307,1),(400,1)}
       356:{1,4,6}:{(307,1),(308,1),(309,1),(398,1),(400,1),(469,1)}
       357:{1,2,6}:{(308,1),(310,1),(328,1),(394,1),(399,1)}
       358:{1,2,4}:{(309,1),(310,1),(329,1),(395,1),(402,1)}
       359:{4,5,7}:{(311,1),(403,1),(404,1)}
       360:{3,4,6,7}:{(311,1),(312,1),(316,1),(404,1),(405,1),(407,1)}
       361:{2,3,6,7}:{(312,1),(313,1),(317,1),(405,1),(406,1),(413,1)}
       362:{1,6,7}:{(313,1),(318,1),(469,1)}
       363:{4,6}:{(314,1),(315,1)}
       364:{3,4,5,7}:{(315,1),(316,1),(319,1),(323,1),(404,1),(407,1),(408,1),(540,1),(551,1)}
       365:{2,4,7}:{(316,1),(317,1),(320,1),(409,1)}
       366:{1,3,5,7}:{(317,1),(318,1),(321,1),(325,1),(406,1),(409,1),(410,1),(474,1),(478,1),(520,1)}
       367:{2,4,5}:{(319,1),(320,1),(326,1),(411,1),(516,1)}
       368:{1,4,6}:{(320,1),(321,1),(409,1),(411,1),(412,1),(543,1)}
       369:{2,5,6}:{(321,1),(328,1),(410,1),(412,1),(416,1),(480,1)}
       370:{3,6}:{(322,1),(323,1)}
       371:{2,3,5,7}:{(323,1),(324,1),(326,1),(397,1),(408,1),(413,1),(414,1)}
       372:{1,3,4,7}:{(324,1),(325,1),(327,1),(398,1),(409,1),(414,1),(415,1),(471,1),(478,1),(518,1),(522,1)}
       373:{2,7}:{(325,1),(328,1)}
       374:{1,3,5}:{(326,1),(327,1),(400,1),(411,1),(416,1),(479,1),(542,1),(544,1)}
       375:{2,4,6}:{(327,1),(328,1),(329,1),(415,1),(416,1),(417,1),(480,1),(482,1)}
       376:{2,3}:{(329,1),(402,1)}
       377:{4,6,7}:{(330,1),(334,1),(418,1),(422,1)}
       378:{3,6,7}:{(331,1),(335,1),(429,1)}
       379:{2,6,7}:{(332,1),(336,1),(421,1),(436,1)}
       380:{3,5,6}:{(333,1),(341,1),(422,1),(429,1)}
       381:{4,5,7}:{(333,1),(334,1),(337,1),(422,1),(534,1),(549,1)}
       382:{3,4,7}:{(334,1),(335,1),(338,1),(424,1)}
       383:{2,3,5,7}:{(335,1),(336,1),(339,1),(344,1),(420,1),(424,1),(425,1),(484,1)}
       384:{1,5,7}:{(336,1),(340,1),(345,1),(421,1)}
       385:{3,4,5}:{(337,1),(338,1),(346,1),(426,1),(504,1)}
       386:{2,4,6}:{(338,1),(339,1),(424,1),(426,1),(427,1)}
       387:{1,3,5,6}:{(339,1),(340,1),(348,1),(425,1),(427,1),(428,1),(433,1),(491,1),(492,1),(524,1),(545,1)}
       388:{2,4,6}:{(341,1),(342,1),(351,1),(422,1),(429,1),(436,1)}
       389:{3,5,7}:{(342,1),(343,1),(346,1),(429,1)}
       390:{2,3,4,7}:{(343,1),(344,1),(347,1),(353,1),(424,1),(430,1),(431,1),(452,1),(506,1)}
       391:{1,3,7}:{(344,1),(345,1),(348,1),(432,1)}
       392:{2,3,5}:{(346,1),(347,1),(355,1),(426,1),(433,1),(536,1)}
       393:{1,3,4,6}:{(347,1),(348,1),(349,1),(356,1),(427,1),(431,1),(433,1),(434,1),(440,1),(491,1),(492,1),(498,1),(529,1),(532,1),(547,1)}
       394:{2,6}:{(348,1),(350,1),(432,1)}
       395:{2,4}:{(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(370,1),(429,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(355,1),(436,1),(437,1)}
       398:{1,4,7}:{(353,1),(354,1),(356,1),(437,1)}
       399:{1,2,7}:{(354,1),(357,1),(373,1),(432,1)}
       400:{1,5}:{(355,1),(356,1)}
       401:{1,2,4,6}:{(356,1),(357,1),(358,1),(375,1),(434,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       402:{1,3}:{(358,1),(376,1),(435,1)}
       403:{4,5,6}:{(359,1),(363,1),(441,1),(552,1)}
       404:{3,5,7}:{(359,1),(360,1),(441,1),(442,1)}
       405:{2,4,6,7}:{(360,1),(361,1),(365,1),(442,1),(443,1),(445,1)}
       406:{1,3,6,7}:{(361,1),(362,1),(366,1),(443,1),(444,1),(450,1),(501,1)}
       407:{3,4,6}:{(363,1),(364,1),(370,1),(441,1),(445,1)}
       408:{2,4,5,7}:{(364,1),(365,1),(367,1),(371,1),(442,1),(445,1),(446,1),(531,1),(548,1)}
       409:{1,4,7}:{(365,1),(366,1),(368,1),(447,1),(534,1)}
       410:{2,5,7}:{(366,1),(369,1),(373,1),(444,1),(447,1)}
       411:{1,4,5}:{(367,1),(368,1),(374,1),(448,1),(498,1),(549,1)}
       412:{2,4,6}:{(368,1),(369,1),(447,1),(448,1),(449,1)}
       413:{2,3,6}:{(370,1),(371,1),(436,1),(445,1),(450,1)}
       414:{1,3,5,7}:{(371,1),(372,1),(374,1),(437,1),(446,1),(450,1),(451,1),(503,1)}
       415:{2,4,7}:{(372,1),(373,1),(375,1),(451,1),(452,1)}
       416:{2,5}:{(374,1),(375,1)}
       417:{2,3,6}:{(375,1),(376,1),(440,1),(449,1),(452,1),(453,1)}
       418:{4,5,7}:{(377,1),(454,1),(455,1)}
       419:{3,4,6,7}:{(377,1),(378,1),(382,1),(455,1),(456,1),(458,1)}
       420:{2,3,6,7}:{(378,1),(379,1),(383,1),(456,1),(457,1),(464,1)}
       421:{1,6,7}:{(379,1),(384,1),(469,1)}
       422:{4,6}:{(380,1),(381,1)}
       423:{3,4,5,7}:{(381,1),(382,1),(385,1),(389,1),(455,1),(458,1),(459,1),(522,1),(544,1)}
       424:{2,4,7}:{(382,1),(383,1),(386,1),(460,1)}
       425:{1,3,5,7}:{(383,1),(384,1),(387,1),(391,1),(457,1),(460,1),(461,1),(508,1),(512,1),(538,1)}
       426:{2,4,5}:{(385,1),(386,1),(392,1),(462,1),(482,1)}
       427:{1,4,6}:{(386,1),(387,1),(460,1),(462,1),(463,1),(550,1)}
       428:{2,5,6}:{(387,1),(394,1),(461,1),(463,1),(467,1),(514,1)}
       429:{3,6}:{(388,1),(389,1)}
       430:{2,3,5,7}:{(389,1),(390,1),(392,1),(397,1),(459,1),(464,1),(465,1)}
       431:{1,3,4,7}:{(390,1),(391,1),(393,1),(398,1),(460,1),(465,1),(466,1),(471,1),(512,1),(518,1),(540,1)}
       432:{2,7}:{(391,1),(394,1)}
       433:{1,3,5}:{(392,1),(393,1),(400,1),(462,1),(467,1),(513,1),(542,1),(551,1)}
       434:{2,4,6}:{(393,1),(394,1),(395,1),(466,1),(467,1),(468,1),(514,1),(516,1)}
       435:{2,3}:{(395,1),(402,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(400,1),(469,1)}
       438:{1,2,4,7}:{(398,1),(399,1),(401,1),(415,1),(466,1),(470,1),(471,1),(518,1)}
       439:{1,2,5}:{(400,1),(401,1),(416,1),(467,1),(472,1),(542,1)}
       440:{1,3,6}:{(401,1),(402,1),(417,1),(468,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(407,1),(473,1),(551,1)}
       442:{2,5,7}:{(404,1),(405,1),(473,1),(474,1)}
       443:{1,4,6,7}:{(405,1),(406,1),(409,1),(474,1),(475,1),(476,1)}
       444:{2,6,7}:{(406,1),(410,1),(480,1)}
       445:{2,4,6}:{(407,1),(408,1),(413,1),(473,1),(476,1)}
       446:{1,4,5,7}:{(408,1),(409,1),(411,1),(414,1),(474,1),(476,1),(477,1),(518,1),(542,1)}
       447:{2,4,7}:{(409,1),(410,1),(412,1),(478,1)}
       448:{2,4,5}:{(411,1),(412,1),(416,1),(479,1),(482,1)}
       449:{3,6}:{(412,1),(478,1),(479,1)}
       450:{1,3,6}:{(413,1),(414,1),(469,1),(476,1),(480,1),(521,1)}
       451:{2,5,7}:{(414,1),(415,1),(416,1),(480,1)}
       452:{2,3,7}:{(415,1),(417,1),(471,1),(478,1)}
       453:{2,3,5}:{(416,1),(417,1),(472,1),(479,1),(482,1)}
       454:{4,5,6}:{(418,1),(422,1),(483,1),(549,1)}
       455:{3,5,7}:{(418,1),(419,1),(483,1),(484,1)}
       456:{2,4,6,7}:{(419,1),(420,1),(424,1),(484,1),(485,1),(487,1)}
       457:{1,3,6,7}:{(420,1),(421,1),(425,1),(485,1),(486,1),(492,1),(526,1)}
       458:{3,4,6}:{(422,1),(423,1),(429,1),(483,1),(487,1)}
       459:{2,4,5,7}:{(423,1),(424,1),(426,1),(430,1),(484,1),(487,1),(488,1),(506,1),(536,1)}
       460:{1,4,7}:{(424,1),(425,1),(427,1),(489,1),(546,1)}
       461:{2,5,7}:{(425,1),(428,1),(432,1),(486,1),(489,1)}
       462:{1,4,5}:{(426,1),(427,1),(433,1),(490,1),(498,1),(552,1)}
       463:{2,4,6}:{(427,1),(428,1),(489,1),(490,1),(491,1)}
       464:{2,3,6}:{(429,1),(430,1),(436,1),(487,1),(492,1)}
       465:{1,3,5,7}:{(430,1),(431,1),(433,1),(437,1),(488,1),(492,1),(493,1),(528,1)}
       466:{2,4,7}:{(431,1),(432,1),(434,1),(493,1),(494,1)}
       467:{2,5}:{(433,1),(434,1)}
       468:{2,3,6}:{(434,1),(435,1),(440,1),(491,1),(494,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(451,1),(493,1),(496,1),(497,1)}
       471:{1,3,7}:{(438,1),(440,1),(452,1),(494,1)}
       472:{1,3,5}:{(439,1),(440,1),(453,1),(495,1),(498,1)}
       473:{2,5,6}:{(441,1),(442,1),(445,1),(499,1),(548,1)}
       474:{1,5,7}:{(442,1),(443,1),(499,1),(500,1)}
       475:{2,4,6,7}:{(443,1),(444,1),(447,1),(500,1),(501,1),(502,1),(534,1)}
       476:{1,4,6}:{(445,1),(446,1),(450,1),(499,1),(502,1)}
       477:{2,4,5,7}:{(446,1),(447,1),(448,1),(451,1),(500,1),(502,1),(503,1),(506,1),(534,1),(536,1),(549,1)}
       478:{3,7}:{(447,1),(449,1)}
       479:{3,5}:{(448,1),(449,1),(504,1)}
       480:{2,6}:{(450,1),(451,1)}
       481:{2,3,5,7}:{(451,1),(452,1),(453,1),(497,1),(503,1),(505,1),(506,1),(536,1)}
       482:{2,4}:{(453,1),(498,1),(504,1)}
       483:{3,5,6}:{(454,1),(455,1),(458,1),(507,1),(544,1)}
       484:{2,5,7}:{(455,1),(456,1),(507,1),(508,1)}
       485:{1,4,6,7}:{(456,1),(457,1),(460,1),(508,1),(509,1),(510,1)}
       486:{2,6,7}:{(457,1),(461,1),(514,1)}
       487:{2,4,6}:{(458,1),(459,1),(464,1),(507,1),(510,1)}
       488:{1,4,5,7}:{(459,1),(460,1),(462,1),(465,1),(508,1),(510,1),(511,1),(518,1),(542,1)}
       489:{2,4,7}:{(460,1),(461,1),(463,1),(512,1)}
       490:{2,4,5}:{(462,1),(463,1),(467,1),(513,1),(516,1)}
       491:{3,6}:{(463,1),(512,1),(513,1)}
       492:{1,3,6}:{(464,1),(465,1),(469,1),(510,1),(514,1),(539,1)}
       493:{2,5,7}:{(465,1),(466,1),(467,1),(514,1)}
       494:{2,3,7}:{(466,1),(468,1),(471,1),(512,1)}
       495:{2,3,5}:{(467,1),(468,1),(472,1),(513,1),(516,1)}
       496:{1,2,6}:{(469,1),(470,1),(480,1),(514,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(481,1),(515,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(472,1),(482,1),(516,1)}
       499:{1,5,6}:{(473,1),(474,1),(476,1),(519,1),(542,1)}
       500:{2,5,7}:{(474,1),(475,1),(519,1),(520,1)}
       501:{3,6,7}:{(475,1),(478,1),(520,1),(521,1)}
       502:{2,4,6}:{(476,1),(477,1),(480,1),(519,1),(521,1),(543,1)}
       503:{3,5,7}:{(477,1),(478,1),(479,1),(521,1),(522,1),(544,1)}
       504:{3,4}:{(479,1),(482,1)}
       505:{2,3,6}:{(480,1),(481,1),(517,1),(521,1),(523,1)}
       506:{2,4,7}:{(481,1),(482,1),(518,1),(522,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(487,1),(524,1),(536,1)}
       508:{1,5,7}:{(484,1),(485,1),(524,1),(525,1)}
       509:{2,4,6,7}:{(485,1),(486,1),(489,1),(525,1),(526,1),(527,1),(546,1)}
       510:{1,4,6}:{(487,1),(488,1),(492,1),(524,1),(527,1)}
       511:{2,4,5,7}:{(488,1),(489,1),(490,1),(493,1),(525,1),(527,1),(528,1),(531,1),(546,1),(548,1),(552,1)}
       512:{3,7}:{(489,1),(491,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{2,6}:{(492,1),(493,1)}
       515:{2,3,5,7}:{(493,1),(494,1),(495,1),(497,1),(528,1),(530,1),(531,1),(548,1)}
       516:{2,4}:{(495,1),(498,1),(529,1)}
       517:{1,3,6}:{(496,1),(497,1),(505,1),(530,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(506,1),(531,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(502,1),(533,1),(536,1)}
       520:{3,5,7}:{(500,1),(501,1),(533,1),(534,1)}
       521:{3,6}:{(502,1),(503,1)}
       522:{3,4,7}:{(503,1),(504,1),(506,1),(534,1),(535,1)}
       523:{2,4,6}:{(505,1),(506,1),(532,1),(535,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(510,1),(537,1),(542,1)}
       525:{2,5,7}:{(508,1),(509,1),(537,1),(538,1)}
       526:{3,6,7}:{(509,1),(512,1),(538,1),(539,1)}
       527:{2,4,6}:{(510,1),(511,1),(514,1),(537,1),(539,1),(550,1)}
       528:{3,5,7}:{(511,1),(512,1),(513,1),(539,1),(540,1),(551,1)}
       529:{3,4}:{(513,1),(516,1)}
       530:{2,3,6}:{(514,1),(515,1),(517,1),(539,1),(541,1)}
       531:{2,4,7}:{(515,1),(516,1),(518,1),(540,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(521,1),(543,1),(544,1)}
       534:{4,7}:{(520,1),(543,1)}
       535:{3,4,6}:{(521,1),(522,1),(523,1),(543,1),(544,1)}
       536:{2,5}:{(523,1),(542,1),(544,1)}
       537:{2,5,6}:{(524,1),(525,1),(527,1),(545,1),(548,1)}
       538:{3,5,7}:{(525,1),(526,1),(545,1),(546,1)}
       539:{3,6}:{(527,1),(528,1)}
       540:{3,4,7}:{(528,1),(529,1),(531,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(547,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5}:{(535,1),(536,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(539,1),(550,1),(551,1)}
       546:{4,7}:{(538,1),(550,1)}
       547:{3,4,6}:{(539,1),(540,1),(541,1),(550,1),(551,1)}
       548:{2,5}:{(541,1),(542,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5}:{(547,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1095 :   0:{2,3,4}:{(2,1),(3,1),(51,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(134,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(32,1),(74,1),(80,1)}
         4:{2,3,4}:{(12,1),(13,1),(24,1),(62,1)}
         5:{4,5,6}:{(16,1),(17,1),(142,1),(152,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,4,5}:{(1,1),(2,1),(19,1),(20,1),(91,1),(123,1)}
         8:{2,3,6}:{(2,1),(19,1),(21,1),(22,1)}
         9:{1,3,5}:{(2,1),(3,1),(20,1),(22,1),(23,1),(59,1)}
        10:{2,4}:{(3,1),(23,1),(24,1)}
        11:{3,4,5}:{(26,1),(27,1),(80,1),(115,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(29,1)}
        13:{1,3,4}:{(4,1),(29,1),(30,1),(32,1),(74,1),(106,1)}
        14:{1,2,4}:{(10,1),(30,1),(31,1),(32,1),(74,1)}
        15:{5,6,7}:{(33,1),(153,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(6,1),(34,1),(35,1),(134,1),(149,1)}
        18:{3,4,7}:{(6,1),(34,1),(36,1)}
        19:{2,4,6}:{(6,1),(7,1),(8,1),(35,1),(36,1),(37,1)}
        20:{1,4,5}:{(7,1),(9,1),(37,1),(38,1),(74,1),(110,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(79,1)}
        23:{2,5}:{(9,1),(10,1),(40,1)}
        24:{2,3}:{(10,1),(32,1)}
        25:{4,5,6}:{(43,1),(44,1),(127,1),(146,1)}
        26:{3,4,6}:{(11,1),(44,1),(45,1),(46,1)}
        27:{2,4,5}:{(11,1),(12,1),(46,1),(47,1),(62,1),(100,1)}
        28:{2,3,6}:{(12,1),(46,1),(48,1),(49,1)}
        29:{1,3,5}:{(12,1),(13,1),(47,1),(49,1),(50,1),(88,1)}
        30:{2,4}:{(13,1),(50,1),(51,1)}
        31:{1,2,5}:{(14,1),(23,1),(50,1),(52,1),(53,1)}
        32:{1,3}:{(14,1),(24,1),(51,1)}
        33:{4,6,7}:{(15,1),(16,1),(54,1),(152,1)}
        34:{3,5,7}:{(16,1),(17,1),(18,1),(54,1),(55,1)}
        35:{2,5,6}:{(17,1),(19,1),(55,1),(56,1),(123,1),(144,1)}
        36:{2,4,7}:{(18,1),(19,1),(21,1),(55,1),(57,1)}
        37:{1,4,6}:{(19,1),(20,1),(22,1),(56,1),(57,1),(58,1)}
        38:{2,4,5}:{(20,1),(23,1),(58,1),(59,1),(62,1),(100,1),(127,1)}
        39:{1,3,7}:{(21,1),(22,1),(57,1),(60,1),(97,1)}
        40:{2,6}:{(22,1),(23,1),(60,1)}
        41:{2,3,5}:{(23,1),(24,1),(53,1),(59,1),(61,1),(62,1),(100,1)}
        42:{5,6,7}:{(63,1),(150,1)}
        43:{4,5,7}:{(25,1),(63,1),(64,1)}
        44:{3,5,6}:{(25,1),(26,1),(64,1),(65,1),(115,1),(139,1)}
        45:{3,4,7}:{(26,1),(64,1),(66,1)}
        46:{2,4,6}:{(26,1),(27,1),(28,1),(65,1),(66,1),(67,1)}
        47:{1,4,5}:{(27,1),(29,1),(67,1),(68,1),(74,1),(110,1)}
        48:{2,3,7}:{(28,1),(66,1),(69,1)}
        49:{1,3,6}:{(28,1),(29,1),(67,1),(69,1),(70,1),(105,1)}
        50:{2,5}:{(29,1),(30,1),(70,1)}
        51:{2,3}:{(30,1),(32,1)}
        52:{1,2,6}:{(31,1),(40,1),(70,1),(72,1),(73,1)}
        53:{1,3,5}:{(31,1),(32,1),(41,1),(71,1),(73,1),(74,1),(110,1)}
        54:{3,6,7}:{(33,1),(34,1),(75,1),(149,1)}
        55:{2,5,7}:{(34,1),(35,1),(36,1),(75,1),(76,1)}
        56:{1,5,6}:{(35,1),(37,1),(76,1),(77,1),(110,1),(136,1)}
        57:{1,4,7}:{(36,1),(37,1),(39,1),(76,1),(78,1)}
        58:{2,4,6}:{(37,1),(38,1),(40,1),(77,1),(78,1),(79,1),(113,1)}
        59:{3,5}:{(38,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(40,1)}
        61:{2,3,6}:{(40,1),(41,1),(73,1),(79,1),(81,1),(82,1)}
        62:{2,4}:{(41,1),(74,1),(80,1)}
        63:{4,6,7}:{(42,1),(43,1),(83,1),(146,1)}
        64:{3,5,7}:{(43,1),(44,1),(45,1),(83,1),(84,1)}
        65:{2,5,6}:{(44,1),(46,1),(84,1),(85,1),(100,1),(129,1)}
        66:{2,4,7}:{(45,1),(46,1),(48,1),(84,1),(86,1)}
        67:{1,4,6}:{(46,1),(47,1),(49,1),(85,1),(86,1),(87,1)}
        68:{2,4,5}:{(47,1),(50,1),(87,1),(88,1),(91,1),(123,1),(142,1)}
        69:{1,3,7}:{(48,1),(49,1),(86,1),(89,1),(120,1)}
        70:{2,6}:{(49,1),(50,1),(89,1)}
        71:{2,3,5}:{(50,1),(51,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{1,2,7}:{(52,1),(60,1),(89,1),(92,1)}
        73:{1,3,6}:{(52,1),(53,1),(61,1),(90,1),(92,1),(93,1)}
        74:{1,4}:{(53,1),(62,1),(91,1)}
        75:{2,6,7}:{(54,1),(55,1),(94,1),(144,1)}
        76:{1,5,7}:{(55,1),(56,1),(57,1),(94,1),(95,1)}
        77:{2,5,6}:{(56,1),(58,1),(95,1),(96,1),(100,1),(129,1)}
        78:{2,4,7}:{(57,1),(58,1),(60,1),(95,1),(97,1),(126,1)}
        79:{3,6}:{(58,1),(59,1),(97,1)}
        80:{3,4}:{(59,1),(62,1)}
        81:{2,3,7}:{(60,1),(61,1),(92,1),(97,1),(99,1)}
        82:{2,4,6}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(129,1)}
        83:{3,6,7}:{(63,1),(64,1),(101,1),(139,1)}
        84:{2,5,7}:{(64,1),(65,1),(66,1),(101,1),(102,1)}
        85:{1,5,6}:{(65,1),(67,1),(102,1),(103,1),(110,1),(136,1)}
        86:{1,4,7}:{(66,1),(67,1),(69,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(70,1),(103,1),(104,1),(105,1),(132,1)}
        88:{3,5}:{(68,1),(105,1),(106,1)}
        89:{2,7}:{(69,1),(70,1)}
        90:{2,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{2,4}:{(71,1),(74,1),(106,1)}
        92:{1,3,7}:{(72,1),(73,1),(81,1),(107,1),(109,1)}
        93:{1,4,6}:{(73,1),(74,1),(82,1),(108,1),(109,1),(110,1),(136,1)}
        94:{1,6,7}:{(75,1),(76,1),(111,1),(136,1)}
        95:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        96:{3,5,6}:{(77,1),(79,1),(112,1),(113,1),(115,1),(139,1),(150,1)}
        97:{3,7}:{(78,1),(79,1)}
        98:{3,4,6}:{(79,1),(80,1),(82,1),(113,1),(114,1),(115,1),(139,1)}
        99:{2,4,7}:{(81,1),(82,1),(109,1),(114,1),(116,1)}
       100:{2,5}:{(82,1),(110,1),(115,1)}
       101:{2,6,7}:{(83,1),(84,1),(117,1),(129,1)}
       102:{1,5,7}:{(84,1),(85,1),(86,1),(117,1),(118,1)}
       103:{2,5,6}:{(85,1),(87,1),(118,1),(119,1),(123,1),(144,1)}
       104:{2,4,7}:{(86,1),(87,1),(89,1),(118,1),(120,1),(141,1)}
       105:{3,6}:{(87,1),(88,1),(120,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{2,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(144,1)}
       109:{1,4,7}:{(92,1),(93,1),(99,1),(122,1),(124,1)}
       110:{1,5}:{(93,1),(100,1),(123,1)}
       111:{2,6,7}:{(94,1),(95,1),(125,1),(129,1)}
       112:{3,5,7}:{(95,1),(96,1),(97,1),(125,1),(126,1),(145,1)}
       113:{4,6}:{(96,1),(126,1),(127,1)}
       114:{3,4,7}:{(97,1),(98,1),(99,1),(126,1),(128,1)}
       115:{3,5}:{(98,1),(100,1),(127,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{1,6,7}:{(101,1),(102,1),(130,1),(136,1)}
       118:{2,5,7}:{(102,1),(103,1),(104,1),(130,1),(131,1)}
       119:{3,5,6}:{(103,1),(105,1),(131,1),(132,1),(134,1),(149,1),(153,1)}
       120:{3,7}:{(104,1),(105,1)}
       121:{3,4,6}:{(105,1),(106,1),(108,1),(132,1),(133,1),(134,1),(149,1)}
       122:{2,4,7}:{(107,1),(108,1),(109,1),(133,1),(135,1)}
       123:{2,5}:{(108,1),(110,1),(134,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{3,6,7}:{(111,1),(112,1),(137,1),(139,1)}
       126:{4,7}:{(112,1),(113,1)}
       127:{4,5}:{(113,1),(115,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(138,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{2,6,7}:{(117,1),(118,1),(140,1),(144,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1),(151,1)}
       132:{4,6}:{(119,1),(141,1),(142,1)}
       133:{3,4,7}:{(120,1),(121,1),(122,1),(141,1),(143,1)}
       134:{3,5}:{(121,1),(123,1),(142,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,6,7}:{(125,1),(126,1),(145,1),(146,1)}
       138:{4,5,7}:{(126,1),(127,1),(128,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(146,1)}
       140:{3,6,7}:{(130,1),(131,1),(147,1),(149,1)}
       141:{4,7}:{(131,1),(132,1)}
       142:{4,5}:{(132,1),(134,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{5,7}:{(137,1),(150,1)}
       146:{4,6}:{(138,1),(139,1),(150,1)}
       147:{4,6,7}:{(140,1),(141,1),(151,1),(152,1)}
       148:{4,5,7}:{(141,1),(142,1),(143,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{5,7}:{(147,1),(153,1)}
       152:{4,6}:{(148,1),(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1096 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(14,1),(50,1),(82,1),(83,1),(93,1),(94,1),(104,1),(144,1),(147,1),(158,1),(211,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(28,1),(57,1),(67,1),(70,1),(111,1),(124,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(181,1),(241,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(35,1),(41,1),(82,1),(83,1),(144,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(15,1),(44,1),(144,1),(158,1),(211,1),(264,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(38,1),(82,1),(93,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(22,1),(55,1),(57,1),(111,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(22,1),(23,1),(61,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(24,1),(25,1),(175,1)}
        12:{1,4,6,7}:{(4,1),(23,1),(25,1),(116,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(26,1),(27,1),(57,1),(70,1),(117,1),(177,1),(178,1),(192,1),(238,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1),(66,1),(284,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(241,1),(283,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(59,1),(63,1),(70,1),(111,1),(114,1),(120,1),(124,1),(126,1),(131,1),(137,1),(176,1),(182,1),(187,1),(245,1),(284,1),(285,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(22,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(23,1),(34,1),(73,1),(137,1),(138,1),(181,1)}
        20:{2,3,6,7}:{(9,1),(15,1),(35,1),(36,1),(41,1),(87,1),(144,1)}
        21:{1,4,6,7}:{(9,1),(17,1),(35,1),(38,1),(82,1)}
        22:{2,5,7}:{(9,1),(10,1),(18,1),(38,1)}
        23:{1,4,5,7}:{(10,1),(12,1),(19,1),(39,1),(82,1),(148,1)}
        24:{1,5,6,7}:{(11,1),(38,1),(40,1),(205,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(87,1),(210,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(42,1),(43,1),(82,1),(88,1),(95,1),(144,1),(212,1),(265,1)}
        27:{2,3,4,6}:{(13,1),(15,1),(43,1),(44,1),(49,1),(99,1),(150,1),(167,1),(168,1),(216,1),(225,1),(230,1)}
        28:{2,5,7}:{(14,1),(42,1),(47,1),(92,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(297,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(36,1),(44,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(88,1),(104,1),(144,1),(153,1),(158,1),(211,1),(270,1),(298,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(210,1),(214,1),(269,1),(297,1)}
        33:{1,5,6}:{(17,1),(18,1),(38,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(39,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(210,1)}
        35:{1,3,6,7}:{(20,1),(21,1),(29,1),(55,1),(56,1),(116,1)}
        36:{2,3,5,7}:{(20,1),(22,1),(30,1),(56,1),(57,1),(61,1),(115,1),(178,1)}
        37:{1,2,4,6,7}:{(21,1),(32,1),(55,1),(58,1),(59,1),(109,1),(111,1),(114,1),(195,1),(243,1),(285,1)}
        38:{1,5,7}:{(21,1),(22,1),(33,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(25,1),(34,1),(57,1),(60,1),(61,1),(111,1),(115,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(236,1)}
        41:{3,6,7}:{(25,1),(61,1),(241,1)}
        42:{2,4,7}:{(26,1),(28,1),(64,1),(65,1),(242,1)}
        43:{1,3,4,6}:{(26,1),(27,1),(29,1),(65,1),(66,1),(73,1),(119,1),(127,1),(133,1),(187,1),(192,1),(203,1),(254,1),(259,1)}
        44:{2,3,5}:{(27,1),(66,1),(67,1),(131,1),(202,1),(258,1)}
        45:{1,2,5,7}:{(28,1),(63,1),(68,1),(69,1),(120,1),(182,1),(284,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(64,1),(68,1),(70,1),(71,1),(117,1),(123,1),(131,1),(182,1),(184,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(56,1),(66,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(57,1),(67,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(114,1),(177,1),(187,1),(192,1),(246,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(241,1),(286,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(59,1),(72,1),(77,1),(120,1),(131,1),(175,1),(196,1),(244,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(60,1),(73,1),(78,1),(197,1),(236,1)}
        54:{3,5,6}:{(34,1),(61,1),(74,1),(133,1),(202,1),(241,1)}
        55:{2,6,7}:{(35,1),(47,1),(81,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(38,1),(48,1),(81,1),(82,1),(144,1),(148,1),(212,1)}
        57:{2,4,7}:{(36,1),(49,1),(82,1),(83,1)}
        58:{1,3,6,7}:{(37,1),(51,1),(80,1),(85,1),(144,1),(297,1),(298,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(52,1),(81,1),(85,1),(142,1),(227,1),(266,1),(268,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(40,1),(53,1),(82,1),(86,1)}
        61:{3,5,7}:{(39,1),(41,1),(54,1),(83,1),(144,1)}
        62:{1,3,6,7}:{(40,1),(41,1),(86,1),(87,1),(263,1)}
        63:{1,2,4,7}:{(42,1),(45,1),(88,1),(89,1),(95,1),(149,1),(265,1),(266,1)}
        64:{2,3,7}:{(42,1),(88,1),(91,1),(144,1)}
        65:{2,4,6}:{(42,1),(43,1),(47,1),(91,1),(92,1),(157,1),(234,1),(278,1)}
        66:{1,3,5}:{(43,1),(44,1),(92,1),(93,1),(158,1),(161,1),(281,1)}
        67:{2,4,5}:{(44,1),(49,1),(93,1),(94,1),(216,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(88,1),(95,1),(96,1),(153,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(214,1),(297,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(157,1),(216,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(214,1)}
        72:{2,5,6}:{(47,1),(48,1),(81,1),(92,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(82,1),(93,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(83,1),(94,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(147,1),(151,1),(170,1),(211,1),(219,1),(224,1),(270,1),(272,1),(277,1),(298,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(85,1),(100,1),(104,1),(105,1),(153,1),(231,1),(281,1),(297,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(86,1),(102,1),(106,1),(229,1),(263,1)}
        79:{1,2,6,7}:{(55,1),(69,1),(107,1),(108,1),(116,1),(243,1),(283,1),(306,1)}
        80:{2,3,6,7}:{(55,1),(58,1),(71,1),(107,1),(109,1),(110,1),(241,1),(243,1),(283,1)}
        81:{2,5,7}:{(55,1),(56,1),(72,1),(111,1),(242,1)}
        82:{1,4,7}:{(56,1),(57,1),(73,1),(111,1)}
        83:{3,4,7}:{(57,1),(61,1),(74,1)}
        84:{1,3,4,6,7}:{(58,1),(76,1),(109,1),(113,1),(114,1),(177,1),(181,1),(241,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(77,1),(110,1),(114,1),(239,1),(284,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(78,1),(112,1),(115,1)}
        87:{2,6,7}:{(62,1),(115,1),(116,1),(283,1)}
        88:{1,3,7}:{(63,1),(64,1),(117,1),(119,1)}
        89:{1,2,4,6}:{(63,1),(65,1),(69,1),(119,1),(120,1),(127,1),(183,1),(187,1),(259,1),(260,1),(292,1)}
        90:{2,3,4,7}:{(64,1),(70,1),(118,1),(121,1),(122,1),(177,1),(238,1),(246,1),(252,1),(307,1)}
        91:{2,3,6}:{(64,1),(65,1),(119,1),(123,1),(133,1),(293,1)}
        92:{2,5}:{(65,1),(66,1)}
        93:{1,4,5}:{(66,1),(67,1),(73,1),(124,1),(187,1)}
        94:{3,4,5}:{(67,1),(74,1),(202,1),(246,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(187,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(108,1),(120,1),(128,1),(129,1),(138,1),(244,1),(258,1),(283,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(121,1),(126,1),(130,1),(131,1),(182,1),(191,1),(200,1),(245,1),(252,1),(285,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(110,1),(123,1),(128,1),(131,1),(132,1),(133,1),(175,1),(184,1),(199,1),(202,1),(241,1),(244,1),(258,1),(283,1),(286,1)}
       101:{2,4,6}:{(72,1),(73,1),(111,1),(124,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(112,1),(125,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(181,1),(185,1),(241,1),(248,1),(253,1),(286,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(114,1),(132,1),(137,1),(187,1)}
       106:{2,5,6}:{(78,1),(115,1),(134,1),(138,1),(258,1),(283,1)}
       107:{1,3,6,7}:{(79,1),(80,1),(96,1),(139,1),(140,1),(263,1)}
       108:{1,2,5,7}:{(79,1),(81,1),(97,1),(140,1),(141,1),(148,1),(264,1),(268,1),(305,1)}
       109:{2,4,6,7}:{(80,1),(84,1),(99,1),(139,1),(142,1),(143,1),(210,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(85,1),(100,1),(140,1),(142,1),(143,1),(144,1),(208,1),(211,1),(264,1),(268,1),(298,1)}
       111:{2,4,7}:{(81,1),(82,1),(101,1),(144,1)}
       112:{1,3,4,7}:{(82,1),(83,1),(86,1),(102,1),(144,1),(145,1),(212,1)}
       113:{1,3,5,7}:{(84,1),(104,1),(142,1),(146,1),(147,1),(211,1)}
       114:{1,4,7}:{(85,1),(105,1),(143,1)}
       115:{2,5,7}:{(86,1),(87,1),(106,1),(145,1),(148,1)}
       116:{1,6,7}:{(87,1),(148,1),(297,1)}
       117:{2,3,7}:{(88,1),(149,1),(150,1),(298,1)}
       118:{1,3,4,7}:{(88,1),(90,1),(95,1),(149,1),(151,1),(152,1),(265,1),(272,1),(298,1),(312,1)}
       119:{1,3,6}:{(88,1),(89,1),(91,1),(150,1),(153,1),(304,1)}
       120:{1,2,5}:{(89,1),(92,1),(153,1),(161,1),(215,1),(281,1)}
       121:{2,3,5,7}:{(90,1),(98,1),(151,1),(155,1),(156,1),(211,1),(264,1),(270,1),(298,1)}
       122:{2,3,4,6}:{(90,1),(91,1),(99,1),(152,1),(155,1),(156,1),(157,1),(167,1),(223,1),(230,1),(271,1),(299,1)}
       123:{2,3,5}:{(91,1),(92,1),(153,1),(157,1),(158,1)}
       124:{2,4,5}:{(92,1),(93,1),(101,1),(157,1),(158,1)}
       125:{1,3,4,5}:{(93,1),(94,1),(102,1),(158,1),(159,1),(220,1),(226,1),(229,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(151,1),(160,1),(161,1),(219,1),(227,1),(272,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(140,1),(153,1),(161,1),(162,1),(163,1),(205,1),(229,1),(263,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(141,1),(154,1),(162,1),(163,1),(169,1),(230,1),(234,1),(269,1),(303,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(155,1),(160,1),(165,1),(214,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(143,1),(157,1),(162,1),(166,1),(167,1),(216,1)}
       133:{3,6}:{(101,1),(144,1),(158,1)}
       134:{2,4,6}:{(102,1),(106,1),(145,1),(159,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(213,1),(217,1),(267,1),(272,1),(277,1),(298,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(148,1),(169,1),(281,1),(297,1)}
       139:{1,4,6,7}:{(107,1),(109,1),(127,1),(172,1),(173,1),(236,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(110,1),(128,1),(172,1),(173,1),(174,1)}
       141:{1,2,4,7}:{(108,1),(111,1),(129,1),(173,1),(174,1),(179,1),(238,1),(242,1),(285,1),(311,1),(314,1)}
       142:{2,5,7}:{(109,1),(113,1),(131,1),(172,1),(175,1)}
       143:{2,4,7}:{(110,1),(114,1),(132,1),(173,1),(177,1)}
       144:{3,7}:{(111,1),(133,1)}
       145:{2,4,7}:{(112,1),(115,1),(134,1),(178,1),(179,1),(242,1)}
       146:{1,3,5,6}:{(113,1),(175,1),(181,1),(241,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(137,1),(176,1),(181,1),(284,1)}
       148:{1,5,7}:{(115,1),(116,1),(138,1),(179,1)}
       149:{2,4,7}:{(117,1),(118,1),(182,1),(183,1),(314,1)}
       150:{2,3,6}:{(117,1),(119,1),(183,1),(184,1),(286,1),(310,1)}
       151:{1,3,5,7}:{(118,1),(121,1),(126,1),(182,1),(185,1),(186,1),(284,1)}
       152:{1,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(183,1),(185,1),(186,1),(187,1),(246,1),(248,1),(259,1),(286,1),(288,1),(308,1)}
       153:{1,3,5}:{(119,1),(120,1),(123,1),(184,1),(187,1)}
       154:{1,2,4,5}:{(120,1),(124,1),(129,1),(187,1),(188,1),(194,1),(197,1),(245,1),(250,1),(255,1),(258,1),(291,1),(292,1),(309,1)}
       155:{2,3,6}:{(121,1),(130,1),(185,1),(241,1),(283,1),(286,1)}
       156:{2,3,5}:{(122,1),(131,1),(186,1),(191,1),(202,1),(258,1)}
       157:{2,4}:{(123,1),(187,1),(192,1)}
       158:{3,5}:{(124,1),(133,1),(192,1)}
       159:{2,4,5}:{(125,1),(134,1),(193,1),(194,1),(250,1),(255,1),(258,1)}
       160:{1,4,6}:{(126,1),(130,1),(185,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(173,1),(187,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(174,1),(188,1),(199,1),(286,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(189,1),(195,1),(200,1),(243,1),(252,1),(285,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(177,1),(192,1),(202,1),(241,1),(246,1),(286,1)}
       168:{2,3,6}:{(133,1),(134,1),(178,1),(193,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(179,1),(194,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(181,1),(201,1),(204,1),(248,1),(295,1)}
       172:{1,5,7}:{(139,1),(142,1),(161,1),(205,1)}
       173:{1,4,7}:{(140,1),(143,1),(162,1)}
       174:{1,3,7}:{(141,1),(144,1),(163,1),(208,1),(298,1)}
       175:{2,5,6}:{(142,1),(146,1),(205,1),(210,1)}
       176:{2,4,5,7}:{(142,1),(143,1),(147,1),(166,1),(206,1),(210,1),(211,1),(264,1)}
       177:{3,4,7}:{(143,1),(144,1),(167,1),(211,1),(298,1)}
       178:{2,3,7}:{(144,1),(145,1),(168,1),(212,1)}
       179:{1,4,7}:{(145,1),(148,1),(169,1),(212,1)}
       180:{1,3,5,6,7}:{(146,1),(170,1),(209,1),(213,1),(267,1)}
       181:{1,4,6}:{(146,1),(147,1),(210,1),(297,1)}
       182:{2,5,7}:{(149,1),(151,1),(214,1),(215,1)}
       183:{2,4,6}:{(149,1),(150,1),(152,1),(214,1),(215,1),(216,1),(301,1),(313,1)}
       184:{2,3,5}:{(150,1),(153,1),(215,1),(216,1),(270,1)}
       185:{1,3,6}:{(151,1),(155,1),(160,1),(214,1),(297,1)}
       186:{1,3,5}:{(152,1),(156,1),(161,1),(215,1),(219,1),(270,1),(281,1)}
       187:{1,4}:{(153,1),(157,1),(216,1)}
       188:{1,3,5}:{(154,1),(158,1),(163,1),(220,1),(221,1),(270,1),(304,1)}
       189:{2,3,6,7}:{(155,1),(164,1),(217,1),(222,1),(267,1),(296,1),(298,1)}
       190:{2,3,5,6}:{(155,1),(156,1),(165,1),(218,1),(222,1),(223,1),(233,1),(280,1),(299,1)}
       191:{2,4,5}:{(156,1),(157,1),(219,1),(223,1),(224,1)}
       192:{3,4}:{(157,1),(158,1)}
       193:{2,3,5}:{(158,1),(159,1),(168,1),(225,1),(226,1)}
       194:{1,4,5}:{(159,1),(169,1),(226,1),(275,1),(281,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(217,1),(227,1),(272,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(207,1),(220,1),(229,1),(230,1),(263,1)}
       199:{2,3,6}:{(163,1),(208,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(210,1),(223,1),(228,1),(232,1),(233,1),(269,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(212,1),(226,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(213,1),(232,1),(272,1),(305,1)}
       205:{1,5,6}:{(172,1),(175,1),(236,1)}
       206:{1,4,5,7}:{(172,1),(173,1),(176,1),(197,1),(236,1),(237,1)}
       207:{1,3,4,7}:{(173,1),(174,1),(177,1),(198,1),(237,1),(238,1)}
       208:{2,3,7}:{(174,1),(199,1),(238,1),(239,1),(242,1),(314,1)}
       209:{2,5,6,7}:{(175,1),(180,1),(200,1),(235,1),(240,1)}
       210:{2,4,6}:{(175,1),(176,1),(181,1),(236,1),(241,1),(283,1)}
       211:{3,5,7}:{(176,1),(177,1),(202,1),(241,1)}
       212:{1,3,7}:{(178,1),(179,1),(203,1),(242,1)}
       213:{1,4,6,7}:{(180,1),(181,1),(204,1),(240,1),(306,1)}
       214:{2,6}:{(182,1),(185,1)}
       215:{2,5}:{(183,1),(186,1)}
       216:{2,4}:{(184,1),(187,1),(246,1)}
       217:{1,3,6,7}:{(185,1),(189,1),(195,1),(243,1),(247,1),(306,1)}
       218:{1,3,5,6}:{(185,1),(186,1),(190,1),(196,1),(244,1),(247,1),(248,1),(286,1),(295,1),(308,1)}
       219:{1,4,5}:{(186,1),(187,1),(191,1),(245,1),(248,1)}
       220:{1,3,4}:{(187,1),(188,1),(192,1),(246,1),(250,1)}
       221:{2,3,5}:{(188,1),(199,1),(250,1),(251,1),(255,1),(258,1),(293,1),(309,1),(310,1)}
       222:{2,3,5,7}:{(189,1),(190,1),(200,1),(247,1),(252,1),(261,1),(294,1),(307,1)}
       223:{2,4,6}:{(190,1),(191,1),(248,1),(252,1),(253,1)}
       224:{3,4,5}:{(191,1),(192,1),(202,1),(253,1)}
       225:{2,3,4}:{(192,1),(193,1),(250,1),(254,1),(310,1)}
       226:{1,3,5}:{(193,1),(194,1),(203,1),(254,1),(255,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(236,1),(248,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(238,1),(250,1),(258,1),(259,1),(283,1)}
       231:{1,3,6}:{(199,1),(239,1),(251,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(240,1),(252,1),(256,1),(261,1),(285,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(241,1),(253,1),(261,1),(286,1)}
       234:{2,6}:{(203,1),(242,1),(255,1)}
       235:{1,5,6,7}:{(205,1),(209,1),(227,1),(262,1)}
       236:{1,4,6}:{(205,1),(206,1),(210,1),(263,1)}
       237:{1,3,5,7}:{(206,1),(207,1),(211,1),(229,1),(263,1),(264,1)}
       238:{2,4,7}:{(207,1),(208,1),(230,1),(264,1),(265,1)}
       239:{1,3,7}:{(208,1),(231,1),(265,1),(266,1)}
       240:{2,4,6,7}:{(209,1),(210,1),(213,1),(232,1),(262,1),(267,1),(296,1)}
       241:{3,6}:{(210,1),(211,1)}
       242:{2,7}:{(212,1),(234,1)}
       243:{2,6,7}:{(214,1),(217,1),(268,1)}
       244:{2,5,6}:{(214,1),(215,1),(218,1),(268,1),(269,1),(313,1)}
       245:{2,4,5}:{(215,1),(216,1),(219,1),(269,1),(270,1)}
       246:{3,4}:{(216,1),(270,1)}
       247:{1,3,5,7}:{(217,1),(218,1),(222,1),(227,1),(268,1),(272,1),(298,1),(305,1),(312,1)}
       248:{1,4,6}:{(218,1),(219,1),(223,1),(269,1),(272,1)}
       249:{1,3,4,5}:{(219,1),(220,1),(224,1),(229,1),(270,1),(273,1),(274,1),(300,1)}
       250:{2,4}:{(220,1),(221,1),(275,1)}
       251:{1,3,5}:{(221,1),(231,1),(275,1),(276,1),(281,1),(304,1)}
       252:{2,4,7}:{(222,1),(223,1),(272,1),(277,1)}
       253:{3,4,6}:{(223,1),(224,1),(233,1),(277,1)}
       254:{1,3,4}:{(225,1),(226,1),(275,1),(278,1),(304,1)}
       255:{2,5}:{(226,1),(234,1),(278,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(262,1),(272,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(263,1),(273,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(265,1),(275,1),(281,1),(297,1)}
       260:{1,2,6}:{(231,1),(234,1),(266,1),(276,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(267,1),(277,1),(298,1)}
       262:{1,4,6,7}:{(235,1),(236,1),(240,1),(256,1),(282,1)}
       263:{1,3,6}:{(236,1),(237,1),(241,1),(283,1)}
       264:{2,5,7}:{(237,1),(238,1),(258,1),(283,1),(284,1)}
       265:{1,4,7}:{(238,1),(239,1),(259,1),(284,1)}
       266:{1,2,7}:{(239,1),(242,1),(260,1),(314,1)}
       267:{3,6,7}:{(240,1),(241,1),(261,1)}
       268:{2,5,7}:{(243,1),(244,1),(247,1),(285,1),(314,1)}
       269:{2,4,6}:{(244,1),(245,1),(248,1),(285,1),(286,1)}
       270:{3,5}:{(245,1),(246,1),(286,1)}
       271:{2,3,4}:{(246,1),(250,1),(287,1),(288,1),(293,1)}
       272:{1,4,7}:{(247,1),(248,1),(252,1),(285,1)}
       273:{1,3,4,6}:{(248,1),(249,1),(253,1),(257,1),(286,1),(289,1),(290,1),(308,1)}
       274:{2,4,5}:{(249,1),(250,1),(258,1),(287,1),(290,1),(291,1),(309,1)}
       275:{1,4}:{(250,1),(251,1)}
       276:{1,2,5}:{(251,1),(255,1),(260,1),(292,1),(309,1)}
       277:{3,4,7}:{(252,1),(253,1),(261,1)}
       278:{2,4}:{(254,1),(255,1),(293,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(282,1),(289,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(283,1),(290,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{1,3,6,7}:{(262,1),(263,1),(267,1),(279,1),(296,1)}
       283:{2,6}:{(263,1),(264,1),(297,1)}
       284:{1,5,7}:{(264,1),(265,1),(281,1),(297,1)}
       285:{2,4,7}:{(268,1),(269,1),(272,1),(298,1)}
       286:{3,6}:{(269,1),(270,1),(298,1)}
       287:{2,3,5}:{(270,1),(271,1),(274,1),(299,1),(300,1)}
       288:{1,3,4}:{(271,1),(275,1),(300,1),(301,1),(304,1)}
       289:{1,3,4,7}:{(272,1),(273,1),(277,1),(279,1),(298,1),(302,1),(312,1)}
       290:{2,4,6}:{(273,1),(274,1),(280,1),(299,1),(302,1),(303,1),(313,1)}
       291:{1,4,5}:{(274,1),(275,1),(281,1),(300,1),(303,1)}
       292:{1,2,4}:{(275,1),(276,1),(278,1),(301,1),(304,1)}
       293:{2,3}:{(278,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(296,1),(302,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(297,1),(303,1),(305,1)}
       296:{2,6,7}:{(282,1),(283,1),(294,1),(306,1)}
       297:{1,6}:{(283,1),(284,1)}
       298:{3,7}:{(285,1),(286,1)}
       299:{2,3,6}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{2,4}:{(288,1),(309,1),(310,1)}
       302:{2,4,7}:{(289,1),(290,1),(294,1),(307,1),(311,1),(314,1)}
       303:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(311,1)}
       304:{1,3}:{(292,1),(293,1),(310,1)}
       305:{1,5,7}:{(294,1),(295,1),(306,1),(311,1)}
       306:{1,6,7}:{(296,1),(297,1),(305,1)}
       307:{2,3,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(303,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(313,1)}
       310:{2,3}:{(301,1),(304,1)}
       311:{1,4,7}:{(302,1),(303,1),(305,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1097 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1098 :   0:{2,3,4}:{(2,1),(3,1),(49,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(133,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(31,1),(73,1),(79,1)}
         4:{2,3,4}:{(12,1),(13,1),(23,1),(61,1)}
         5:{4,5,6}:{(15,1),(16,1),(140,1),(151,1)}
         6:{3,4,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{2,4,5}:{(1,1),(2,1),(17,1),(19,1),(91,1),(122,1)}
         8:{2,3,6}:{(2,1),(17,1),(20,1),(21,1)}
         9:{1,3,5}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1)}
        10:{2,4}:{(3,1),(22,1),(23,1)}
        11:{3,4,5}:{(25,1),(26,1),(79,1),(114,1)}
        12:{2,3,5}:{(4,1),(26,1),(27,1),(28,1)}
        13:{1,3,4}:{(4,1),(28,1),(29,1),(31,1),(73,1),(106,1)}
        14:{1,2,4}:{(10,1),(29,1),(30,1),(31,1),(73,1)}
        15:{3,5,6}:{(5,1),(6,1),(32,1),(33,1),(133,1),(149,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(8,1),(32,1),(35,1),(36,1)}
        18:{3,4,7}:{(6,1),(33,1),(36,1)}
        19:{1,4,5}:{(7,1),(9,1),(35,1),(37,1),(73,1),(109,1)}
        20:{1,3,6}:{(8,1),(9,1),(35,1),(38,1),(39,1),(77,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{2,5}:{(9,1),(10,1),(38,1)}
        23:{2,3}:{(10,1),(31,1)}
        24:{4,5,6}:{(41,1),(42,1),(125,1),(145,1)}
        25:{3,4,6}:{(11,1),(41,1),(43,1),(44,1)}
        26:{2,4,5}:{(11,1),(12,1),(43,1),(45,1),(61,1),(99,1)}
        27:{2,3,6}:{(12,1),(43,1),(46,1),(47,1)}
        28:{1,3,5}:{(12,1),(13,1),(45,1),(46,1),(48,1),(88,1)}
        29:{2,4}:{(13,1),(48,1),(49,1)}
        30:{1,2,5}:{(14,1),(22,1),(48,1),(50,1),(51,1)}
        31:{1,3}:{(14,1),(23,1),(49,1)}
        32:{2,5,6}:{(15,1),(17,1),(52,1),(53,1),(122,1),(144,1)}
        33:{3,5,7}:{(15,1),(16,1),(18,1),(53,1),(54,1)}
        34:{4,6,7}:{(16,1),(54,1),(55,1),(151,1)}
        35:{1,4,6}:{(17,1),(19,1),(20,1),(52,1),(56,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(21,1),(53,1),(57,1)}
        37:{2,4,5}:{(19,1),(22,1),(56,1),(58,1),(61,1),(99,1),(125,1)}
        38:{2,6}:{(20,1),(22,1),(60,1)}
        39:{1,3,7}:{(20,1),(21,1),(57,1),(60,1),(98,1)}
        40:{2,3,5}:{(22,1),(23,1),(51,1),(58,1),(59,1),(61,1),(99,1)}
        41:{3,5,6}:{(24,1),(25,1),(62,1),(63,1),(114,1),(139,1)}
        42:{4,5,7}:{(24,1),(63,1),(64,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(62,1),(65,1),(66,1)}
        44:{3,4,7}:{(25,1),(63,1),(66,1)}
        45:{1,4,5}:{(26,1),(28,1),(65,1),(67,1),(73,1),(109,1)}
        46:{1,3,6}:{(27,1),(28,1),(65,1),(68,1),(69,1),(104,1)}
        47:{2,3,7}:{(27,1),(66,1),(69,1)}
        48:{2,5}:{(28,1),(29,1),(68,1)}
        49:{2,3}:{(29,1),(31,1)}
        50:{1,2,6}:{(30,1),(38,1),(68,1),(71,1),(72,1)}
        51:{1,3,5}:{(30,1),(31,1),(40,1),(70,1),(71,1),(73,1),(109,1)}
        52:{1,5,6}:{(32,1),(35,1),(74,1),(75,1),(109,1),(136,1)}
        53:{2,5,7}:{(32,1),(33,1),(36,1),(75,1),(76,1)}
        54:{3,6,7}:{(33,1),(34,1),(76,1),(149,1)}
        55:{5,6,7}:{(34,1),(153,1)}
        56:{2,4,6}:{(35,1),(37,1),(38,1),(74,1),(77,1),(78,1),(111,1)}
        57:{1,4,7}:{(35,1),(36,1),(39,1),(75,1),(78,1)}
        58:{3,5}:{(37,1),(77,1),(79,1)}
        59:{2,3,6}:{(38,1),(40,1),(71,1),(77,1),(80,1),(81,1)}
        60:{2,7}:{(38,1),(39,1)}
        61:{2,4}:{(40,1),(73,1),(79,1)}
        62:{2,5,6}:{(41,1),(43,1),(82,1),(83,1),(99,1),(129,1)}
        63:{3,5,7}:{(41,1),(42,1),(44,1),(83,1),(84,1)}
        64:{4,6,7}:{(42,1),(84,1),(85,1),(145,1)}
        65:{1,4,6}:{(43,1),(45,1),(46,1),(82,1),(86,1),(87,1)}
        66:{2,4,7}:{(43,1),(44,1),(47,1),(83,1),(87,1)}
        67:{2,4,5}:{(45,1),(48,1),(86,1),(88,1),(91,1),(122,1),(140,1)}
        68:{2,6}:{(46,1),(48,1),(90,1)}
        69:{1,3,7}:{(46,1),(47,1),(87,1),(90,1),(121,1)}
        70:{2,3,5}:{(48,1),(49,1),(51,1),(88,1),(89,1),(91,1),(122,1)}
        71:{1,3,6}:{(50,1),(51,1),(59,1),(89,1),(92,1),(93,1)}
        72:{1,2,7}:{(50,1),(60,1),(90,1),(93,1)}
        73:{1,4}:{(51,1),(61,1),(91,1)}
        74:{2,5,6}:{(52,1),(56,1),(94,1),(95,1),(99,1),(129,1)}
        75:{1,5,7}:{(52,1),(53,1),(57,1),(95,1),(96,1)}
        76:{2,6,7}:{(53,1),(54,1),(96,1),(144,1)}
        77:{3,6}:{(56,1),(58,1),(98,1)}
        78:{2,4,7}:{(56,1),(57,1),(60,1),(95,1),(98,1),(126,1)}
        79:{3,4}:{(58,1),(61,1)}
        80:{2,4,6}:{(59,1),(61,1),(92,1),(97,1),(99,1),(100,1),(129,1)}
        81:{2,3,7}:{(59,1),(60,1),(93,1),(98,1),(100,1)}
        82:{1,5,6}:{(62,1),(65,1),(101,1),(102,1),(109,1),(136,1)}
        83:{2,5,7}:{(62,1),(63,1),(66,1),(102,1),(103,1)}
        84:{3,6,7}:{(63,1),(64,1),(103,1),(139,1)}
        85:{5,6,7}:{(64,1),(150,1)}
        86:{2,4,6}:{(65,1),(67,1),(68,1),(101,1),(104,1),(105,1),(130,1)}
        87:{1,4,7}:{(65,1),(66,1),(69,1),(102,1),(105,1)}
        88:{3,5}:{(67,1),(104,1),(106,1)}
        89:{2,3,6}:{(68,1),(70,1),(71,1),(104,1),(107,1),(108,1)}
        90:{2,7}:{(68,1),(69,1)}
        91:{2,4}:{(70,1),(73,1),(106,1)}
        92:{1,4,6}:{(71,1),(73,1),(80,1),(107,1),(109,1),(110,1),(136,1)}
        93:{1,3,7}:{(71,1),(72,1),(81,1),(108,1),(110,1)}
        94:{3,5,6}:{(74,1),(77,1),(111,1),(112,1),(114,1),(139,1),(150,1)}
        95:{2,5,7}:{(74,1),(75,1),(78,1),(112,1),(113,1)}
        96:{1,6,7}:{(75,1),(76,1),(113,1),(136,1)}
        97:{3,4,6}:{(77,1),(79,1),(80,1),(111,1),(114,1),(115,1),(139,1)}
        98:{3,7}:{(77,1),(78,1)}
        99:{2,5}:{(80,1),(109,1),(114,1)}
       100:{2,4,7}:{(80,1),(81,1),(110,1),(115,1),(116,1)}
       101:{2,5,6}:{(82,1),(86,1),(117,1),(118,1),(122,1),(144,1)}
       102:{1,5,7}:{(82,1),(83,1),(87,1),(118,1),(119,1)}
       103:{2,6,7}:{(83,1),(84,1),(119,1),(129,1)}
       104:{3,6}:{(86,1),(88,1),(121,1)}
       105:{2,4,7}:{(86,1),(87,1),(90,1),(118,1),(121,1),(141,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,4,6}:{(89,1),(91,1),(92,1),(120,1),(122,1),(123,1),(144,1)}
       108:{2,3,7}:{(89,1),(90,1),(93,1),(121,1),(123,1)}
       109:{1,5}:{(92,1),(99,1),(122,1)}
       110:{1,4,7}:{(92,1),(93,1),(100,1),(123,1),(124,1)}
       111:{4,6}:{(94,1),(125,1),(126,1)}
       112:{3,5,7}:{(94,1),(95,1),(98,1),(126,1),(127,1),(146,1)}
       113:{2,6,7}:{(95,1),(96,1),(127,1),(129,1)}
       114:{3,5}:{(97,1),(99,1),(125,1)}
       115:{3,4,7}:{(97,1),(98,1),(100,1),(126,1),(128,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{3,5,6}:{(101,1),(104,1),(130,1),(131,1),(133,1),(149,1),(153,1)}
       118:{2,5,7}:{(101,1),(102,1),(105,1),(131,1),(132,1)}
       119:{1,6,7}:{(102,1),(103,1),(132,1),(136,1)}
       120:{3,4,6}:{(104,1),(106,1),(107,1),(130,1),(133,1),(134,1),(149,1)}
       121:{3,7}:{(104,1),(105,1)}
       122:{2,5}:{(107,1),(109,1),(133,1)}
       123:{2,4,7}:{(107,1),(108,1),(110,1),(134,1),(135,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{4,5}:{(111,1),(114,1)}
       126:{4,7}:{(111,1),(112,1)}
       127:{3,6,7}:{(112,1),(113,1),(138,1),(139,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(137,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{4,6}:{(117,1),(140,1),(141,1)}
       131:{3,5,7}:{(117,1),(118,1),(121,1),(141,1),(142,1),(152,1)}
       132:{2,6,7}:{(118,1),(119,1),(142,1),(144,1)}
       133:{3,5}:{(120,1),(122,1),(140,1)}
       134:{3,4,7}:{(120,1),(121,1),(123,1),(141,1),(143,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,5,7}:{(125,1),(126,1),(128,1),(145,1),(146,1)}
       138:{4,6,7}:{(126,1),(127,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(145,1)}
       140:{4,5}:{(130,1),(133,1)}
       141:{4,7}:{(130,1),(131,1)}
       142:{3,6,7}:{(131,1),(132,1),(148,1),(149,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(147,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{4,6}:{(137,1),(139,1),(150,1)}
       146:{5,7}:{(138,1),(150,1)}
       147:{4,5,7}:{(140,1),(141,1),(143,1),(151,1),(152,1)}
       148:{4,6,7}:{(141,1),(142,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(151,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{4,6}:{(147,1),(149,1),(153,1)}
       152:{5,7}:{(148,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1099 :   0:{2,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(29,1),(108,1),(109,1),(166,1),(280,1),(382,1),(393,1),(471,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(42,1),(83,1),(97,1),(98,1),(189,1),(276,1),(285,1),(305,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(10,1),(11,1),(51,1),(55,1),(118,1),(154,1),(231,1),(328,1),(347,1)}
         3:{3,5,6}:{(0,1),(12,1),(14,1),(218,1),(333,1),(438,1)}
         4:{2,4,5,7}:{(0,1),(11,1),(14,1),(15,1),(52,1),(56,1),(135,1),(136,1),(219,1),(336,1),(440,1)}
         5:{3,4,5}:{(12,1),(17,1),(243,1),(333,1),(502,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(333,1),(342,1),(363,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(55,1),(65,1),(73,1),(125,1),(132,1),(140,1),(146,1),(151,1),(254,1),(259,1),(340,1)}
         8:{2,3,4,7}:{(1,1),(20,1),(22,1),(56,1),(126,1),(143,1),(245,1),(334,1),(343,1)}
         9:{2,4,5,6}:{(2,1),(23,1),(24,1),(26,1),(77,1),(89,1),(185,1),(204,1),(271,1),(272,1),(297,1),(318,1)}
        10:{1,3,5,6}:{(2,1),(3,1),(23,1),(25,1),(26,1),(27,1),(287,1),(400,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(24,1),(27,1),(28,1),(87,1),(90,1),(167,1),(184,1),(279,1)}
        12:{3,4,6}:{(3,1),(5,1),(29,1),(30,1),(471,1)}
        13:{2,3,5,6}:{(3,1),(6,1),(26,1),(29,1),(31,1),(32,1),(42,1),(83,1),(108,1)}
        14:{3,5,7}:{(3,1),(4,1),(30,1),(33,1),(277,1)}
        15:{2,4,6,7}:{(4,1),(28,1),(33,1),(34,1),(88,1),(96,1),(393,1)}
        16:{1,3,4,5}:{(5,1),(25,1),(35,1),(37,1),(76,1),(99,1),(105,1),(161,1),(195,1),(268,1),(287,1)}
        17:{2,4,5}:{(5,1),(6,1),(29,1),(37,1),(189,1)}
        18:{3,4,5,7}:{(5,1),(30,1),(38,1),(39,1),(92,1),(302,1),(389,1),(412,1),(480,1)}
        19:{1,3,5}:{(6,1),(7,1),(37,1),(40,1),(105,1),(313,1),(317,1),(395,1)}
        20:{2,3,5,7}:{(6,1),(8,1),(38,1),(41,1),(42,1),(389,1),(398,1)}
        21:{2,4,6}:{(7,1),(40,1),(43,1),(44,1),(110,1),(112,1),(174,1),(188,1)}
        22:{1,3,4,7}:{(7,1),(8,1),(41,1),(44,1),(90,1),(104,1),(175,1),(182,1),(197,1),(202,1),(396,1)}
        23:{3,5,6}:{(9,1),(45,1),(47,1),(132,1),(234,1),(350,1)}
        24:{2,4,5,7}:{(9,1),(11,1),(47,1),(48,1),(52,1),(119,1),(133,1),(221,1),(222,1),(237,1),(352,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(16,1),(45,1),(49,1),(50,1),(55,1),(118,1),(125,1),(132,1),(218,1)}
        26:{2,5,6}:{(10,1),(49,1),(51,1),(52,1),(342,1),(446,1)}
        27:{1,3,5,7}:{(10,1),(11,1),(14,1),(47,1),(50,1),(52,1),(53,1)}
        28:{1,4,6,7}:{(11,1),(15,1),(48,1),(53,1),(54,1),(131,1),(347,1)}
        29:{2,4,6}:{(12,1),(13,1),(17,1),(55,1),(56,1)}
        30:{3,4,7}:{(12,1),(14,1),(56,1),(440,1)}
        31:{1,3,5,6}:{(13,1),(19,1),(51,1),(55,1),(58,1),(59,1),(73,1),(125,1),(132,1),(154,1),(260,1)}
        32:{2,3,5,7}:{(13,1),(14,1),(52,1),(56,1),(59,1),(60,1),(126,1),(135,1)}
        33:{3,6,7}:{(14,1),(15,1),(438,1)}
        34:{2,5,6,7}:{(15,1),(54,1),(61,1),(135,1),(336,1),(442,1)}
        35:{2,4,5}:{(16,1),(49,1),(62,1),(63,1),(144,1),(250,1),(342,1)}
        36:{1,2,4,6}:{(21,1),(64,1),(65,1),(66,1),(142,1),(146,1),(148,1),(226,1),(241,1),(254,1),(340,1)}
        37:{1,4,5}:{(17,1),(19,1),(55,1),(67,1),(146,1),(372,1)}
        38:{2,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(68,1),(69,1),(135,1),(245,1),(363,1)}
        39:{3,4,6}:{(18,1),(69,1),(70,1),(438,1),(509,1)}
        40:{2,5}:{(19,1),(21,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(22,1),(68,1),(72,1),(73,1),(152,1),(444,1)}
        42:{2,3,6}:{(20,1),(69,1),(73,1),(438,1),(446,1)}
        43:{2,3,6}:{(21,1),(65,1),(71,1),(75,1),(132,1),(242,1)}
        44:{2,4,7}:{(21,1),(22,1),(72,1),(75,1),(228,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(78,1),(318,1)}
        46:{2,3,5,6}:{(23,1),(26,1),(77,1),(79,1),(80,1),(83,1),(160,1),(267,1),(271,1)}
        47:{3,5,7}:{(23,1),(24,1),(78,1),(81,1),(182,1)}
        48:{2,4,6,7}:{(24,1),(28,1),(81,1),(82,1),(88,1),(173,1),(297,1)}
        49:{2,4,6}:{(25,1),(26,1),(35,1),(83,1),(84,1),(85,1),(174,1)}
        50:{1,3,4,7}:{(25,1),(27,1),(30,1),(78,1),(85,1),(90,1),(167,1),(175,1),(182,1),(277,1)}
        51:{1,5,6}:{(26,1),(84,1),(87,1),(395,1),(483,1)}
        52:{2,5,7}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        53:{1,3,6,7}:{(27,1),(28,1),(33,1),(81,1),(88,1),(400,1)}
        54:{1,5,6,7}:{(28,1),(34,1),(82,1),(184,1),(279,1),(402,1)}
        55:{1,4,6}:{(29,1),(31,1),(37,1),(89,1),(90,1),(318,1)}
        56:{2,4,7}:{(29,1),(30,1),(32,1),(90,1)}
        57:{3,4,6,7}:{(30,1),(33,1),(39,1),(91,1),(92,1),(96,1)}
        58:{2,5,6}:{(31,1),(40,1),(89,1),(94,1),(112,1),(174,1)}
        59:{1,3,5,7}:{(31,1),(32,1),(87,1),(90,1),(94,1),(95,1),(175,1),(182,1),(184,1),(295,1)}
        60:{2,3,6,7}:{(32,1),(33,1),(42,1),(88,1),(91,1),(95,1)}
        61:{3,5,6,7}:{(33,1),(34,1),(92,1),(96,1),(391,1),(479,1)}
        62:{2,3,5}:{(35,1),(83,1),(97,1),(99,1),(105,1),(268,1)}
        63:{1,4,5}:{(35,1),(84,1),(99,1),(308,1),(395,1)}
        64:{1,2,5}:{(36,1),(40,1),(101,1),(191,1),(313,1),(395,1)}
        65:{1,3,6}:{(36,1),(43,1),(98,1),(101,1),(104,1),(299,1)}
        66:{1,2,4,7}:{(36,1),(44,1),(102,1),(104,1),(192,1),(197,1),(284,1),(396,1)}
        67:{2,4,5}:{(37,1),(40,1),(89,1),(105,1),(110,1)}
        68:{1,4,5,7}:{(37,1),(38,1),(41,1),(90,1),(106,1),(107,1),(184,1),(197,1),(313,1)}
        69:{2,4,6}:{(38,1),(39,1),(42,1),(107,1),(108,1)}
        70:{3,5,6}:{(39,1),(92,1),(108,1),(109,1),(412,1)}
        71:{2,3,5}:{(40,1),(43,1),(101,1),(105,1),(110,1)}
        72:{2,5,7}:{(40,1),(41,1),(44,1),(112,1)}
        73:{1,3,6}:{(41,1),(42,1),(107,1),(112,1),(203,1),(483,1)}
        74:{2,3,4,6}:{(43,1),(103,1),(110,1),(113,1),(114,1),(181,1),(205,1),(207,1),(209,1),(285,1),(300,1),(409,1)}
        75:{2,3,7}:{(43,1),(44,1),(104,1),(182,1)}
        76:{3,4,5}:{(45,1),(115,1),(234,1),(372,1),(490,1)}
        77:{2,4,6}:{(45,1),(46,1),(115,1),(118,1),(119,1)}
        78:{3,4,7}:{(45,1),(47,1),(119,1),(352,1)}
        79:{1,3,5,6}:{(46,1),(51,1),(118,1),(121,1),(122,1),(125,1),(210,1),(218,1),(324,1),(328,1),(430,1)}
        80:{2,3,5,7}:{(46,1),(47,1),(52,1),(119,1),(122,1),(123,1),(126,1),(221,1)}
        81:{3,6,7}:{(47,1),(48,1),(350,1)}
        82:{2,5,6,7}:{(48,1),(54,1),(124,1),(221,1),(237,1),(354,1)}
        83:{2,3,6}:{(49,1),(62,1),(125,1),(126,1),(132,1),(218,1)}
        84:{1,4,6}:{(49,1),(51,1),(63,1),(125,1),(128,1)}
        85:{2,4,7}:{(49,1),(50,1),(52,1),(126,1),(128,1),(228,1)}
        86:{1,2,5,6}:{(51,1),(58,1),(64,1),(121,1),(127,1),(129,1),(130,1),(148,1),(226,1),(247,1),(321,1),(342,1),(423,1),(443,1),(446,1),(503,1)}
        87:{1,5,7}:{(51,1),(52,1),(128,1),(131,1)}
        88:{2,6,7}:{(52,1),(53,1),(131,1),(446,1)}
        89:{2,4,6}:{(55,1),(58,1),(67,1),(132,1),(133,1)}
        90:{1,4,7}:{(55,1),(56,1),(59,1),(133,1),(352,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(60,1),(69,1),(134,1),(135,1)}
        92:{3,5,7}:{(57,1),(70,1),(135,1),(136,1)}
        93:{2,3,5,6}:{(58,1),(71,1),(129,1),(132,1),(137,1),(138,1),(157,1),(227,1),(234,1),(260,1),(263,1),(342,1),(350,1),(354,1),(420,1),(446,1),(493,1),(503,1),(529,1),(534,1),(547,1)}
        94:{2,5,7}:{(58,1),(59,1),(133,1),(139,1),(228,1)}
        95:{1,3,6,7}:{(59,1),(60,1),(73,1),(131,1),(134,1),(139,1),(236,1)}
        96:{4,6,7}:{(61,1),(136,1),(440,1),(509,1)}
        97:{2,3,4}:{(62,1),(140,1),(151,1),(250,1),(325,1),(355,1)}
        98:{2,3,6}:{(65,1),(141,1),(142,1),(143,1),(355,1),(358,1)}
        99:{1,3,5}:{(62,1),(63,1),(125,1),(140,1),(144,1)}
       100:{1,2,4,5}:{(63,1),(64,1),(67,1),(127,1),(144,1),(145,1),(146,1),(212,1),(231,1),(241,1),(244,1),(250,1),(321,1),(342,1),(365,1),(421,1),(451,1),(491,1)}
       101:{1,3,5}:{(64,1),(65,1),(71,1),(141,1),(146,1)}
       102:{1,2,5,7}:{(64,1),(66,1),(72,1),(147,1),(148,1),(248,1),(444,1)}
       103:{1,3,4,6}:{(65,1),(74,1),(142,1),(146,1),(149,1),(150,1),(243,1),(252,1),(254,1),(256,1),(340,1),(356,1),(358,1),(360,1),(452,1)}
       104:{1,3,7}:{(65,1),(66,1),(75,1),(143,1)}
       105:{3,5}:{(67,1),(132,1),(151,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(72,1),(133,1),(152,1),(153,1),(156,1),(237,1),(263,1),(352,1),(372,1)}
       107:{1,4,6}:{(68,1),(69,1),(73,1),(153,1),(154,1)}
       108:{2,5,6}:{(69,1),(70,1),(135,1),(154,1),(363,1)}
       109:{4,5,6}:{(70,1),(136,1),(456,1),(509,1)}
       110:{2,4}:{(71,1),(146,1),(151,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(75,1),(147,1),(152,1),(156,1),(157,1),(263,1)}
       112:{2,6}:{(72,1),(73,1)}
       113:{2,3,5}:{(74,1),(149,1),(155,1),(234,1),(263,1),(342,1)}
       114:{2,3,4,7}:{(74,1),(75,1),(150,1),(156,1),(159,1),(235,1),(261,1),(343,1),(453,1)}
       115:{2,4,5}:{(76,1),(77,1),(160,1),(161,1),(460,1)}
       116:{3,4,5,7}:{(76,1),(78,1),(162,1),(163,1),(169,1),(293,1),(405,1),(514,1),(542,1)}
       117:{2,3,4,6}:{(77,1),(83,1),(97,1),(160,1),(164,1),(165,1),(181,1),(267,1),(285,1),(383,1),(460,1),(517,1)}
       118:{1,4,6}:{(77,1),(79,1),(161,1),(166,1),(167,1),(471,1)}
       119:{2,4,7}:{(77,1),(78,1),(80,1),(167,1)}
       120:{3,4,6,7}:{(78,1),(81,1),(163,1),(168,1),(169,1),(173,1)}
       121:{2,5,6}:{(79,1),(166,1),(171,1),(174,1),(265,1),(378,1)}
       122:{1,3,5,7}:{(79,1),(80,1),(87,1),(167,1),(171,1),(172,1),(175,1),(277,1),(279,1),(391,1)}
       123:{2,3,6,7}:{(80,1),(81,1),(88,1),(168,1),(172,1),(267,1)}
       124:{3,5,6,7}:{(81,1),(82,1),(169,1),(173,1),(295,1),(404,1)}
       125:{1,3,6}:{(83,1),(84,1),(99,1),(174,1),(175,1)}
       126:{2,3,7}:{(83,1),(85,1),(175,1),(182,1),(277,1)}
       127:{1,2,4,6}:{(84,1),(86,1),(89,1),(100,1),(166,1),(174,1),(176,1),(177,1),(178,1),(285,1),(303,1),(415,1),(486,1),(515,1)}
       128:{1,4,7}:{(84,1),(85,1),(87,1),(175,1)}
       129:{1,3,5,6}:{(86,1),(93,1),(101,1),(170,1),(176,1),(178,1),(179,1),(198,1),(283,1),(287,1),(313,1),(374,1),(395,1),(400,1),(402,1),(464,1),(483,1),(520,1)}
       130:{1,2,5,7}:{(86,1),(87,1),(94,1),(171,1),(177,1),(179,1),(180,1),(284,1),(306,1),(398,1),(482,1),(525,1)}
       131:{1,6,7}:{(87,1),(88,1),(483,1)}
       132:{3,6}:{(89,1),(105,1),(182,1)}
       133:{2,4,7}:{(89,1),(90,1),(94,1),(182,1)}
       134:{1,4,6,7}:{(90,1),(91,1),(95,1),(107,1),(183,1),(184,1)}
       135:{2,5,7}:{(91,1),(92,1),(108,1),(184,1)}
       136:{4,5,7}:{(92,1),(96,1),(109,1)}
       137:{2,4,6}:{(93,1),(110,1),(178,1),(181,1),(185,1),(186,1),(318,1),(460,1),(551,1)}
       138:{2,3,5,7}:{(93,1),(94,1),(179,1),(182,1),(186,1),(187,1),(286,1),(293,1),(295,1),(298,1),(398,1),(525,1),(540,1),(550,1)}
       139:{2,6,7}:{(94,1),(95,1),(112,1)}
       140:{1,3,4}:{(97,1),(99,1),(188,1),(299,1),(308,1)}
       141:{2,3,5}:{(98,1),(101,1),(189,1),(191,1),(301,1)}
       142:{2,4,6}:{(98,1),(103,1),(189,1),(191,1),(192,1),(307,1),(407,1),(486,1)}
       143:{2,3,7}:{(98,1),(104,1),(192,1),(410,1)}
       144:{2,5}:{(99,1),(174,1),(188,1)}
       145:{1,3,5}:{(100,1),(105,1),(176,1),(194,1),(195,1),(268,1),(299,1),(301,1),(513,1)}
       146:{1,4}:{(101,1),(110,1),(189,1)}
       147:{1,3,5,7}:{(101,1),(102,1),(104,1),(111,1),(190,1),(197,1),(198,1),(313,1)}
       148:{1,2,6}:{(102,1),(112,1),(198,1),(307,1),(483,1)}
       149:{1,3,5}:{(103,1),(113,1),(191,1),(196,1),(301,1),(313,1),(395,1),(412,1)}
       150:{1,3,4,7}:{(103,1),(104,1),(114,1),(192,1),(197,1),(200,1),(302,1),(311,1),(396,1),(410,1),(487,1)}
       151:{3,4}:{(105,1),(110,1)}
       152:{3,5,7}:{(105,1),(106,1),(182,1),(202,1),(203,1),(317,1)}
       153:{2,4,6}:{(106,1),(107,1),(112,1),(203,1),(204,1),(318,1)}
       154:{1,5,6}:{(107,1),(108,1),(184,1),(204,1),(313,1)}
       155:{2,4,5}:{(110,1),(113,1),(196,1),(201,1),(205,1)}
       156:{2,4,7}:{(110,1),(111,1),(197,1),(202,1),(207,1)}
       157:{2,3,6}:{(111,1),(112,1),(198,1),(203,1),(207,1)}
       158:{2,3,5,6}:{(113,1),(199,1),(205,1),(208,1),(209,1),(292,1),(320,1),(397,1),(409,1)}
       159:{2,3,5,7}:{(113,1),(114,1),(200,1),(206,1),(209,1),(293,1),(398,1)}
       160:{2,3,5}:{(115,1),(117,1),(210,1),(234,1),(342,1),(534,1)}
       161:{1,4,5}:{(115,1),(118,1),(210,1),(212,1),(421,1),(502,1)}
       162:{2,4,5,7}:{(115,1),(116,1),(119,1),(211,1),(213,1),(214,1),(221,1),(492,1),(534,1)}
       163:{3,4,6}:{(116,1),(214,1),(215,1),(350,1),(450,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(125,1),(140,1),(210,1),(216,1),(217,1),(218,1),(324,1),(325,1),(329,1),(340,1),(421,1),(429,1),(496,1)}
       165:{2,3,4,7}:{(117,1),(119,1),(126,1),(211,1),(217,1),(235,1),(343,1),(432,1),(492,1)}
       166:{2,4,6}:{(118,1),(121,1),(212,1),(218,1),(219,1)}
       167:{1,4,7}:{(118,1),(119,1),(122,1),(219,1),(440,1)}
       168:{2,4,6,7}:{(119,1),(120,1),(123,1),(214,1),(220,1),(221,1)}
       169:{3,5,7}:{(120,1),(215,1),(221,1),(222,1)}
       170:{2,3,5,6}:{(121,1),(129,1),(141,1),(218,1),(223,1),(224,1),(227,1),(246,1),(247,1),(322,1),(333,1),(342,1),(358,1),(363,1),(426,1),(430,1),(438,1),(442,1),(446,1),(455,1),(499,1)}
       171:{2,5,7}:{(121,1),(122,1),(219,1),(225,1),(228,1)}
       172:{1,3,6,7}:{(122,1),(123,1),(131,1),(220,1),(225,1),(324,1),(335,1)}
       173:{4,6,7}:{(124,1),(222,1),(352,1),(450,1)}
       174:{2,6}:{(125,1),(144,1),(228,1)}
       175:{1,3,7}:{(125,1),(126,1),(128,1),(228,1)}
       176:{1,3,6}:{(127,1),(132,1),(145,1),(218,1),(227,1),(230,1),(358,1),(529,1)}
       177:{1,2,4,7}:{(127,1),(128,1),(130,1),(133,1),(219,1),(228,1),(230,1),(232,1),(343,1),(361,1),(458,1),(511,1),(532,1)}
       178:{1,4,6}:{(129,1),(137,1),(146,1),(223,1),(231,1),(232,1),(421,1)}
       179:{1,3,5,7}:{(129,1),(130,1),(138,1),(224,1),(230,1),(232,1),(233,1),(341,1),(348,1),(444,1)}
       180:{1,2,6,7}:{(130,1),(131,1),(139,1),(148,1),(225,1),(233,1),(364,1),(423,1),(446,1),(510,1),(539,1)}
       181:{3,4,6}:{(132,1),(137,1),(151,1),(234,1),(235,1),(350,1),(490,1),(529,1)}
       182:{3,7}:{(132,1),(133,1)}
       183:{2,4,6,7}:{(133,1),(134,1),(139,1),(153,1),(236,1),(237,1),(352,1)}
       184:{1,5,7}:{(134,1),(135,1),(154,1),(237,1)}
       185:{2,4,5}:{(137,1),(231,1),(234,1),(263,1),(342,1),(372,1),(534,1),(548,1)}
       186:{2,4,7}:{(137,1),(138,1),(232,1),(235,1),(352,1),(552,1)}
       187:{2,3,6,7}:{(138,1),(139,1),(157,1),(233,1),(236,1),(240,1),(350,1),(446,1),(493,1),(539,1),(546,1)}
       188:{2,4}:{(140,1),(144,1),(242,1)}
       189:{2,4}:{(141,1),(146,1),(243,1)}
       190:{2,3,5,7}:{(141,1),(143,1),(147,1),(245,1),(246,1),(248,1),(359,1),(363,1)}
       191:{2,5}:{(142,1),(149,1)}
       192:{2,4,7}:{(142,1),(143,1),(150,1),(248,1),(511,1)}
       193:{1,2,5}:{(144,1),(226,1),(241,1),(249,1),(451,1)}
       194:{2,3,5}:{(144,1),(145,1),(227,1),(242,1),(249,1),(250,1),(342,1),(355,1),(451,1)}
       195:{1,3,4}:{(145,1),(146,1),(151,1),(243,1),(250,1),(325,1),(421,1),(490,1)}
       196:{1,4,5}:{(146,1),(149,1),(155,1),(244,1),(252,1),(456,1)}
       197:{1,4,7}:{(146,1),(147,1),(156,1),(245,1),(254,1)}
       198:{1,3,6}:{(147,1),(148,1),(157,1),(246,1),(254,1)}
       199:{1,3,5,6}:{(149,1),(158,1),(247,1),(252,1),(255,1),(256,1),(358,1),(369,1),(443,1),(452,1),(455,1)}
       200:{1,3,5,7}:{(149,1),(150,1),(159,1),(248,1),(253,1),(256,1),(359,1),(444,1)}
       201:{3,4,5}:{(151,1),(155,1),(234,1),(257,1),(548,1)}
       202:{3,4,7}:{(151,1),(152,1),(156,1),(259,1),(352,1)}
       203:{3,6}:{(152,1),(153,1)}
       204:{2,5,6}:{(153,1),(154,1),(237,1),(260,1),(263,1)}
       205:{2,4,6}:{(155,1),(158,1),(252,1),(257,1),(261,1)}
       206:{2,4,5,7}:{(155,1),(156,1),(159,1),(253,1),(258,1),(261,1),(262,1),(263,1),(373,1)}
       207:{2,4,6}:{(156,1),(157,1),(254,1),(259,1),(263,1)}
       208:{2,3,5,7}:{(158,1),(255,1),(261,1),(264,1),(349,1),(373,1),(445,1),(453,1)}
       209:{2,3,6}:{(159,1),(256,1),(262,1),(350,1),(446,1)}
       210:{1,3,5}:{(160,1),(161,1),(164,1),(265,1),(268,1),(395,1),(470,1),(520,1)}
       211:{2,3,5,7}:{(160,1),(162,1),(165,1),(266,1),(267,1),(293,1),(398,1)}
       212:{2,4,5}:{(161,1),(166,1),(265,1),(268,1),(376,1)}
       213:{1,4,5,7}:{(161,1),(162,1),(167,1),(266,1),(269,1),(270,1),(279,1),(463,1),(520,1)}
       214:{2,4,6}:{(162,1),(163,1),(267,1),(270,1),(271,1)}
       215:{3,5,6}:{(163,1),(169,1),(271,1),(272,1),(542,1)}
       216:{2,4,6}:{(164,1),(174,1),(188,1),(265,1),(274,1),(275,1),(376,1),(378,1)}
       217:{1,3,4,7}:{(164,1),(165,1),(167,1),(175,1),(266,1),(275,1),(277,1),(380,1),(385,1),(396,1),(463,1)}
       218:{3,6}:{(166,1),(268,1),(277,1)}
       219:{2,4,7}:{(166,1),(167,1),(171,1),(277,1)}
       220:{1,4,6,7}:{(167,1),(168,1),(172,1),(270,1),(278,1),(279,1)}
       221:{2,5,7}:{(168,1),(169,1),(271,1),(279,1)}
       222:{4,5,7}:{(169,1),(173,1),(272,1)}
       223:{2,4,6}:{(170,1),(178,1),(189,1),(276,1),(280,1),(281,1),(376,1),(471,1),(489,1)}
       224:{2,3,5,7}:{(170,1),(171,1),(179,1),(277,1),(281,1),(282,1),(286,1),(306,1),(389,1),(391,1),(394,1),(398,1),(410,1),(488,1)}
       225:{2,6,7}:{(171,1),(172,1),(378,1)}
       226:{1,2,6}:{(174,1),(193,1),(283,1),(284,1),(486,1)}
       227:{2,3,6}:{(174,1),(176,1),(194,1),(283,1),(285,1),(286,1),(486,1)}
       228:{2,7}:{(174,1),(175,1)}
       229:{1,3,4,6}:{(176,1),(178,1),(181,1),(195,1),(276,1),(285,1),(287,1),(288,1),(400,1)}
       230:{1,3,7}:{(176,1),(177,1),(182,1),(277,1),(286,1),(410,1),(540,1)}
       231:{1,4,5}:{(178,1),(185,1),(280,1),(287,1),(313,1),(395,1),(520,1)}
       232:{1,4,7}:{(178,1),(179,1),(186,1),(281,1)}
       233:{1,3,6,7}:{(179,1),(180,1),(187,1),(198,1),(282,1),(291,1),(400,1),(464,1),(483,1)}
       234:{3,5}:{(181,1),(185,1)}
       235:{3,4,7}:{(181,1),(182,1),(186,1),(293,1),(540,1)}
       236:{3,6,7}:{(182,1),(183,1),(203,1),(295,1)}
       237:{2,5,7}:{(183,1),(184,1),(204,1),(295,1)}
       238:{2,4,5,6}:{(185,1),(205,1),(289,1),(292,1),(296,1),(297,1),(320,1),(397,1),(419,1),(515,1),(544,1),(551,1)}
       239:{2,4,5,7}:{(185,1),(186,1),(290,1),(293,1),(297,1),(298,1),(398,1),(405,1)}
       240:{2,4,6,7}:{(186,1),(187,1),(207,1),(291,1),(294,1),(297,1),(298,1),(517,1)}
       241:{1,2,4}:{(188,1),(193,1),(299,1),(308,1),(407,1)}
       242:{2,3}:{(188,1),(299,1)}
       243:{3,4}:{(189,1),(301,1)}
       244:{2,4,5}:{(189,1),(191,1),(196,1),(301,1),(303,1)}
       245:{2,4,7}:{(189,1),(190,1),(197,1),(302,1),(305,1)}
       246:{2,3,6}:{(190,1),(198,1),(305,1),(307,1),(411,1)}
       247:{2,5,6}:{(191,1),(199,1),(303,1),(306,1),(307,1),(486,1)}
       248:{2,5,7}:{(191,1),(192,1),(200,1),(307,1)}
       249:{1,3,5}:{(193,1),(194,1),(283,1),(299,1),(308,1),(395,1)}
       250:{2,4}:{(194,1),(195,1),(308,1)}
       251:{1,3,4,5}:{(195,1),(196,1),(201,1),(287,1),(301,1),(309,1),(310,1),(379,1),(408,1),(462,1),(513,1)}
       252:{1,4,6}:{(196,1),(199,1),(205,1),(303,1),(311,1),(489,1)}
       253:{1,4,5,7}:{(196,1),(197,1),(200,1),(206,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       254:{1,4,6}:{(197,1),(198,1),(207,1),(305,1),(313,1)}
       255:{1,3,5,7}:{(199,1),(208,1),(306,1),(311,1),(314,1),(410,1),(417,1),(482,1),(487,1),(488,1)}
       256:{1,3,6}:{(200,1),(209,1),(307,1),(312,1),(411,1),(483,1)}
       257:{3,4,6}:{(201,1),(205,1),(292,1),(315,1),(551,1)}
       258:{3,4,5,7}:{(201,1),(202,1),(206,1),(293,1),(315,1),(316,1),(317,1),(405,1),(418,1)}
       259:{3,4,6}:{(202,1),(203,1),(207,1),(317,1),(318,1)}
       260:{3,5,6}:{(203,1),(204,1),(295,1),(317,1),(318,1)}
       261:{2,4,7}:{(205,1),(208,1),(311,1),(315,1)}
       262:{2,4,6}:{(206,1),(209,1),(312,1),(316,1),(320,1)}
       263:{2,5}:{(207,1),(313,1),(317,1)}
       264:{2,3,6,7}:{(208,1),(209,1),(314,1),(319,1),(403,1),(484,1)}
       265:{2,5}:{(210,1),(216,1)}
       266:{1,3,5,7}:{(210,1),(211,1),(213,1),(217,1),(323,1),(324,1),(326,1),(444,1)}
       267:{2,3,6}:{(211,1),(214,1),(324,1),(350,1),(446,1)}
       268:{3,5}:{(212,1),(218,1),(325,1)}
       269:{2,4,5,7}:{(212,1),(213,1),(219,1),(323,1),(326,1),(327,1),(336,1),(425,1),(440,1),(499,1),(502,1)}
       270:{1,4,6}:{(213,1),(214,1),(324,1),(327,1),(328,1)}
       271:{2,5,6}:{(214,1),(215,1),(221,1),(328,1),(534,1)}
       272:{4,5,6}:{(215,1),(222,1),(450,1),(548,1)}
       273:{1,2,4,6}:{(216,1),(226,1),(241,1),(321,1),(329,1),(330,1),(340,1),(421,1),(423,1),(431,1),(496,1)}
       274:{2,3,6}:{(216,1),(218,1),(242,1),(322,1),(329,1),(332,1)}
       275:{2,4,7}:{(216,1),(217,1),(228,1),(323,1),(332,1)}
       276:{3,4,6}:{(218,1),(223,1),(243,1),(325,1),(333,1),(334,1),(358,1),(438,1)}
       277:{3,7}:{(218,1),(219,1)}
       278:{2,4,6,7}:{(219,1),(220,1),(225,1),(327,1),(335,1),(336,1),(440,1)}
       279:{1,5,7}:{(220,1),(221,1),(328,1),(336,1)}
       280:{2,4,5}:{(223,1),(231,1),(333,1),(342,1),(363,1),(456,1),(499,1),(502,1)}
       281:{2,4,7}:{(223,1),(224,1),(232,1),(334,1),(440,1),(512,1)}
       282:{2,3,6,7}:{(224,1),(225,1),(233,1),(246,1),(335,1),(339,1),(364,1),(426,1),(438,1),(446,1),(454,1)}
       283:{1,3,6}:{(226,1),(227,1),(249,1),(340,1),(341,1)}
       284:{1,2,7}:{(226,1),(228,1),(341,1),(511,1)}
       285:{2,4,6}:{(227,1),(229,1),(250,1),(340,1),(342,1),(343,1),(446,1)}
       286:{2,3,7}:{(227,1),(228,1),(230,1),(341,1),(343,1),(511,1)}
       287:{1,3,5}:{(229,1),(231,1),(234,1),(333,1),(342,1)}
       288:{1,3,4,7}:{(229,1),(230,1),(232,1),(235,1),(334,1),(343,1),(345,1)}
       289:{1,4,5,6}:{(231,1),(238,1),(252,1),(337,1),(344,1),(346,1),(347,1),(369,1),(443,1),(494,1),(536,1)}
       290:{1,4,5,7}:{(231,1),(232,1),(239,1),(338,1),(345,1),(347,1),(348,1),(444,1)}
       291:{1,4,6,7}:{(232,1),(233,1),(240,1),(254,1),(339,1),(347,1),(348,1),(496,1)}
       292:{3,5,6}:{(234,1),(238,1),(257,1),(349,1),(350,1),(529,1)}
       293:{3,5,7}:{(234,1),(235,1),(239,1),(350,1)}
       294:{3,4,6,7}:{(235,1),(236,1),(240,1),(259,1),(350,1),(351,1),(352,1),(450,1),(531,1),(546,1),(552,1)}
       295:{3,5,7}:{(236,1),(237,1),(260,1),(352,1)}
       296:{2,4,5,7}:{(238,1),(261,1),(346,1),(349,1),(353,1),(373,1),(445,1),(459,1),(532,1),(549,1),(552,1)}
       297:{2,4,6}:{(239,1),(347,1),(350,1),(354,1),(446,1),(450,1)}
       298:{2,5,7}:{(240,1),(263,1),(348,1),(351,1),(354,1),(534,1)}
       299:{1,3}:{(241,1),(242,1),(355,1)}
       300:{2,3,4}:{(242,1),(243,1),(250,1),(356,1),(357,1),(490,1)}
       301:{3,5}:{(243,1),(244,1),(358,1)}
       302:{3,4,7}:{(243,1),(245,1),(359,1),(360,1),(512,1)}
       303:{2,4,6}:{(244,1),(247,1),(252,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(244,1),(245,1),(248,1),(253,1),(359,1),(361,1),(362,1),(363,1),(456,1),(457,1),(512,1)}
       305:{2,4,6}:{(245,1),(246,1),(254,1),(360,1),(363,1)}
       306:{2,5,7}:{(247,1),(255,1),(361,1),(364,1),(511,1)}
       307:{2,6}:{(248,1),(256,1)}
       308:{1,4}:{(249,1),(250,1)}
       309:{2,4,5}:{(250,1),(251,1),(342,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(251,1),(252,1),(257,1),(344,1),(358,1),(366,1),(367,1),(427,1),(452,1),(494,1),(529,1)}
       311:{1,4,7}:{(252,1),(255,1),(261,1),(361,1),(512,1)}
       312:{1,4,6}:{(253,1),(256,1),(262,1),(362,1),(369,1)}
       313:{1,5}:{(254,1),(263,1),(363,1)}
       314:{1,3,6,7}:{(255,1),(256,1),(264,1),(364,1),(368,1),(454,1),(510,1)}
       315:{3,4,7}:{(257,1),(261,1),(349,1),(552,1)}
       316:{3,4,6}:{(258,1),(262,1),(350,1),(371,1),(450,1)}
       317:{3,5}:{(259,1),(263,1),(372,1)}
       318:{4,6}:{(260,1),(352,1),(372,1)}
       319:{2,4,6,7}:{(261,1),(262,1),(264,1),(368,1),(370,1),(373,1)}
       320:{2,5,6}:{(262,1),(263,1),(369,1),(371,1),(373,1)}
       321:{1,2,5}:{(265,1),(273,1),(374,1),(395,1),(472,1),(520,1)}
       322:{2,3,5}:{(265,1),(268,1),(274,1),(374,1),(376,1)}
       323:{2,5,7}:{(265,1),(266,1),(275,1),(378,1)}
       324:{1,3,6}:{(266,1),(267,1),(270,1),(378,1),(381,1),(483,1)}
       325:{3,4}:{(268,1),(376,1)}
       326:{3,5,7}:{(268,1),(269,1),(277,1),(380,1),(381,1),(470,1)}
       327:{2,4,6}:{(269,1),(270,1),(378,1),(381,1),(382,1),(471,1)}
       328:{1,5,6}:{(270,1),(271,1),(279,1),(382,1),(520,1)}
       329:{1,3,6}:{(273,1),(274,1),(299,1),(374,1),(383,1),(385,1)}
       330:{1,2,4,7}:{(273,1),(275,1),(284,1),(375,1),(385,1),(396,1),(463,1),(473,1)}
       331:{2,3,4,6}:{(274,1),(276,1),(285,1),(300,1),(376,1),(384,1),(386,1),(387,1),(409,1),(465,1),(467,1),(477,1)}
       332:{2,3,7}:{(274,1),(275,1),(277,1),(385,1)}
       333:{3,5}:{(276,1),(280,1)}
       334:{3,4,7}:{(276,1),(277,1),(281,1),(389,1),(410,1)}
       335:{3,6,7}:{(277,1),(278,1),(381,1),(391,1)}
       336:{2,5,7}:{(278,1),(279,1),(382,1),(391,1)}
       337:{2,4,5,6}:{(280,1),(289,1),(303,1),(388,1),(392,1),(393,1),(397,1),(414,1),(465,1),(489,1),(522,1),(524,1)}
       338:{2,4,5,7}:{(280,1),(281,1),(290,1),(389,1),(393,1),(394,1),(398,1),(480,1)}
       339:{2,4,6,7}:{(281,1),(282,1),(291,1),(305,1),(390,1),(393,1),(394,1),(467,1)}
       340:{1,4,6}:{(283,1),(285,1),(308,1),(395,1),(396,1),(483,1)}
       341:{1,3,7}:{(283,1),(284,1),(286,1),(396,1)}
       342:{2,5}:{(285,1),(287,1),(395,1)}
       343:{2,4,7}:{(285,1),(286,1),(288,1),(396,1),(398,1)}
       344:{1,3,5,6}:{(287,1),(289,1),(292,1),(310,1),(388,1),(397,1),(399,1),(400,1)}
       345:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(389,1),(398,1),(400,1)}
       346:{1,4,5,7}:{(289,1),(296,1),(311,1),(392,1),(399,1),(401,1),(417,1),(482,1),(518,1),(545,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(400,1),(402,1),(483,1)}
       348:{1,5,7}:{(291,1),(298,1),(313,1),(394,1),(402,1),(520,1)}
       349:{3,5,7}:{(292,1),(296,1),(315,1),(403,1),(540,1)}
       350:{3,6}:{(293,1),(297,1)}
       351:{3,5,7}:{(294,1),(298,1),(317,1),(404,1),(405,1),(542,1)}
       352:{4,7}:{(295,1),(318,1)}
       353:{2,4,6,7}:{(296,1),(297,1),(401,1),(403,1),(406,1),(484,1),(485,1)}
       354:{2,5,6}:{(297,1),(298,1),(402,1),(404,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(301,1),(309,1),(408,1),(409,1),(513,1)}
       358:{3,6}:{(301,1),(303,1),(410,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,4,6}:{(302,1),(305,1),(411,1),(412,1),(489,1)}
       361:{2,4,7}:{(303,1),(306,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(307,1),(312,1),(411,1),(414,1),(489,1)}
       363:{2,5}:{(305,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(395,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(397,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(311,1),(315,1),(399,1),(410,1),(416,1),(468,1),(487,1),(518,1),(540,1)}
       368:{1,4,6,7}:{(311,1),(312,1),(314,1),(319,1),(413,1),(417,1)}
       369:{1,5,6}:{(312,1),(313,1),(320,1),(414,1),(417,1)}
       370:{3,4,6,7}:{(315,1),(316,1),(319,1),(403,1),(418,1),(485,1)}
       371:{3,5,6}:{(316,1),(317,1),(320,1),(418,1),(419,1)}
       372:{4,5}:{(317,1),(318,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(418,1)}
       374:{1,3,5}:{(321,1),(322,1),(329,1),(420,1),(421,1)}
       375:{1,2,5,7}:{(321,1),(323,1),(330,1),(422,1),(423,1),(444,1),(504,1)}
       376:{2,4}:{(322,1),(325,1),(421,1)}
       377:{2,3,5,7}:{(322,1),(323,1),(326,1),(332,1),(422,1),(425,1),(426,1),(499,1)}
       378:{2,6}:{(323,1),(324,1)}
       379:{3,4,5}:{(325,1),(333,1),(424,1),(427,1),(456,1)}
       380:{3,4,7}:{(325,1),(326,1),(425,1),(429,1),(440,1)}
       381:{3,6}:{(326,1),(327,1)}
       382:{2,5,6}:{(327,1),(328,1),(336,1),(430,1),(499,1)}
       383:{2,3,6}:{(329,1),(355,1),(420,1),(431,1),(432,1),(529,1)}
       384:{1,3,4,6}:{(329,1),(331,1),(340,1),(356,1),(421,1),(431,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(506,1),(529,1),(531,1)}
       385:{1,3,7}:{(329,1),(330,1),(332,1),(432,1)}
       386:{2,3,5}:{(331,1),(333,1),(342,1),(424,1),(433,1),(499,1)}
       387:{2,3,4,7}:{(331,1),(332,1),(334,1),(343,1),(425,1),(434,1),(436,1),(453,1),(497,1)}
       388:{3,5,6}:{(333,1),(337,1),(358,1),(427,1),(437,1),(438,1)}
       389:{3,5,7}:{(333,1),(334,1),(338,1),(438,1)}
       390:{3,4,6,7}:{(334,1),(335,1),(339,1),(360,1),(429,1),(438,1),(439,1),(440,1),(454,1),(509,1),(512,1)}
       391:{3,5,7}:{(335,1),(336,1),(430,1),(440,1)}
       392:{2,4,5,7}:{(337,1),(346,1),(361,1),(437,1),(441,1),(445,1),(457,1),(497,1),(512,1),(537,1),(538,1)}
       393:{2,4,6}:{(338,1),(347,1),(438,1),(442,1),(446,1),(509,1)}
       394:{2,5,7}:{(339,1),(348,1),(363,1),(439,1),(442,1),(499,1)}
       395:{1,5}:{(340,1),(342,1)}
       396:{1,4,7}:{(340,1),(341,1),(343,1),(444,1)}
       397:{2,5,6}:{(342,1),(344,1),(366,1),(443,1),(445,1),(446,1)}
       398:{2,5,7}:{(342,1),(343,1),(345,1),(444,1),(446,1)}
       399:{1,3,5,7}:{(344,1),(346,1),(349,1),(367,1),(437,1),(445,1),(447,1)}
       400:{1,3,6}:{(345,1),(347,1),(350,1),(438,1),(446,1)}
       401:{1,4,6,7}:{(346,1),(347,1),(353,1),(441,1),(447,1),(448,1),(510,1)}
       402:{1,5,6}:{(347,1),(348,1),(354,1),(442,1)}
       403:{3,6,7}:{(349,1),(350,1),(353,1)}
       404:{3,5,6}:{(350,1),(351,1),(354,1),(450,1)}
       405:{4,5,7}:{(351,1),(352,1),(372,1),(450,1),(548,1),(552,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(449,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(358,1),(366,1),(452,1),(453,1),(529,1)}
       410:{3,7}:{(358,1),(361,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,5}:{(360,1),(363,1),(456,1)}
       413:{2,4,6,7}:{(361,1),(362,1),(364,1),(368,1),(454,1),(457,1),(512,1)}
       414:{2,5,6}:{(362,1),(363,1),(369,1),(455,1),(457,1)}
       415:{1,4,6}:{(365,1),(366,1),(443,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(445,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{3,5,7}:{(370,1),(371,1),(373,1),(459,1)}
       419:{4,5,6}:{(371,1),(372,1),(450,1),(459,1)}
       420:{2,3,5}:{(374,1),(383,1),(460,1),(472,1),(513,1)}
       421:{1,4}:{(374,1),(376,1),(460,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(385,1),(461,1),(463,1),(464,1),(520,1)}
       423:{1,2,6}:{(375,1),(378,1),(464,1),(483,1),(526,1)}
       424:{2,4,5}:{(376,1),(379,1),(386,1),(462,1),(465,1)}
       425:{2,4,7}:{(376,1),(377,1),(380,1),(463,1),(467,1)}
       426:{2,3,6}:{(377,1),(378,1),(381,1),(464,1),(467,1)}
       427:{3,4,6}:{(379,1),(388,1),(465,1),(468,1),(489,1)}
       428:{3,4,5,7}:{(379,1),(380,1),(389,1),(466,1),(468,1),(469,1),(470,1),(480,1),(523,1)}
       429:{3,4,6}:{(380,1),(381,1),(467,1),(470,1),(471,1)}
       430:{3,5,6}:{(381,1),(382,1),(391,1),(470,1),(471,1)}
       431:{2,4,6}:{(383,1),(384,1),(407,1),(460,1),(472,1),(473,1),(486,1),(526,1)}
       432:{2,3,7}:{(383,1),(385,1),(473,1),(540,1)}
       433:{1,3,5}:{(384,1),(386,1),(395,1),(462,1),(472,1),(513,1),(520,1),(542,1)}
       434:{1,3,4,7}:{(384,1),(385,1),(387,1),(396,1),(463,1),(473,1),(475,1),(487,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,6}:{(386,1),(388,1),(397,1),(409,1),(465,1),(474,1),(476,1),(477,1),(522,1)}
       436:{2,3,5,7}:{(386,1),(387,1),(389,1),(398,1),(466,1),(475,1),(477,1)}
       437:{3,5,7}:{(388,1),(392,1),(410,1),(468,1),(478,1)}
       438:{3,6}:{(389,1),(393,1)}
       439:{3,5,7}:{(390,1),(394,1),(412,1),(470,1),(479,1),(480,1)}
       440:{4,7}:{(391,1),(471,1)}
       441:{2,4,6,7}:{(392,1),(393,1),(401,1),(478,1),(481,1),(484,1),(528,1)}
       442:{2,5,6}:{(393,1),(394,1),(402,1),(479,1)}
       443:{1,5,6}:{(395,1),(397,1),(415,1),(482,1),(483,1)}
       444:{1,5,7}:{(395,1),(396,1),(398,1),(483,1)}
       445:{2,5,7}:{(397,1),(399,1),(416,1),(482,1),(484,1)}
       446:{2,6}:{(398,1),(400,1),(483,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(401,1),(403,1),(478,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{3,5,6,7}:{(403,1),(404,1),(406,1),(418,1),(485,1),(550,1)}
       450:{4,6}:{(404,1),(405,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(410,1),(416,1),(487,1),(540,1)}
       454:{3,6,7}:{(410,1),(411,1),(413,1),(488,1)}
       455:{3,5,6}:{(411,1),(412,1),(414,1),(488,1),(489,1)}
       456:{4,5}:{(412,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(488,1)}
       458:{1,4,7}:{(415,1),(416,1),(482,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,4}:{(420,1),(421,1),(490,1)}
       461:{2,3,5,7}:{(420,1),(422,1),(432,1),(492,1),(493,1),(504,1),(530,1),(534,1)}
       462:{1,4,5}:{(421,1),(424,1),(433,1),(491,1),(494,1),(548,1)}
       463:{1,4,7}:{(421,1),(422,1),(425,1),(492,1),(496,1)}
       464:{1,3,6}:{(422,1),(423,1),(426,1),(493,1),(496,1)}
       465:{2,4,6}:{(424,1),(427,1),(435,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(424,1),(425,1),(428,1),(436,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(425,1),(426,1),(429,1),(496,1),(499,1)}
       468:{3,4,7}:{(427,1),(437,1),(497,1),(512,1)}
       469:{3,4,6}:{(428,1),(438,1),(498,1),(501,1),(509,1)}
       470:{3,5}:{(429,1),(499,1),(502,1)}
       471:{4,6}:{(430,1),(440,1),(502,1)}
       472:{2,5}:{(431,1),(433,1)}
       473:{2,4,7}:{(431,1),(432,1),(434,1),(504,1),(511,1)}
       474:{1,3,5,6}:{(433,1),(435,1),(443,1),(452,1),(494,1),(503,1),(505,1),(506,1),(529,1),(536,1),(547,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(436,1),(444,1),(495,1),(504,1),(506,1),(530,1)}
       476:{2,3,5,7}:{(435,1),(437,1),(445,1),(453,1),(497,1),(505,1),(507,1),(537,1)}
       477:{2,3,6}:{(436,1),(438,1),(446,1),(498,1),(506,1)}
       478:{3,6,7}:{(437,1),(438,1),(441,1)}
       479:{3,5,6}:{(438,1),(439,1),(442,1),(509,1)}
       480:{4,5,7}:{(439,1),(440,1),(456,1),(502,1),(509,1),(512,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(508,1),(537,1)}
       482:{1,5,7}:{(443,1),(445,1),(458,1),(510,1)}
       483:{1,6}:{(444,1),(446,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{3,5,7}:{(454,1),(455,1),(457,1),(512,1)}
       489:{4,6}:{(455,1),(456,1),(512,1)}
       490:{3,4}:{(460,1),(513,1)}
       491:{2,4,5}:{(460,1),(462,1),(472,1),(513,1),(515,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(514,1),(517,1)}
       493:{2,3,6}:{(461,1),(464,1),(517,1),(526,1),(541,1)}
       494:{1,4,6}:{(462,1),(465,1),(474,1),(515,1),(518,1),(551,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(466,1),(475,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(463,1),(464,1),(467,1),(517,1),(520,1)}
       497:{2,4,7}:{(465,1),(468,1),(476,1),(518,1)}
       498:{2,4,6}:{(466,1),(469,1),(477,1),(519,1),(522,1)}
       499:{2,5}:{(467,1),(470,1),(520,1)}
       500:{3,4,6,7}:{(468,1),(469,1),(478,1),(521,1),(523,1),(528,1)}
       501:{3,5,6}:{(469,1),(470,1),(522,1),(523,1),(524,1)}
       502:{4,5}:{(470,1),(471,1)}
       503:{2,5,6}:{(472,1),(474,1),(486,1),(515,1),(525,1),(526,1)}
       504:{2,5,7}:{(472,1),(473,1),(475,1),(526,1)}
       505:{1,3,5,7}:{(474,1),(476,1),(482,1),(487,1),(518,1),(525,1),(527,1),(540,1),(545,1),(550,1)}
       506:{1,3,6}:{(475,1),(477,1),(483,1),(519,1),(526,1),(541,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(478,1),(484,1),(521,1),(527,1)}
       508:{3,5,6,7}:{(478,1),(479,1),(481,1),(488,1),(523,1),(528,1)}
       509:{4,6}:{(479,1),(480,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{3,4,7}:{(490,1),(492,1),(530,1),(531,1),(552,1)}
       515:{2,4,6}:{(491,1),(494,1),(503,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(491,1),(492,1),(495,1),(504,1),(530,1),(532,1),(533,1),(534,1),(548,1),(549,1),(552,1)}
       517:{2,4,6}:{(492,1),(493,1),(496,1),(531,1),(534,1)}
       518:{1,4,7}:{(494,1),(497,1),(505,1),(532,1),(552,1)}
       519:{1,4,6}:{(495,1),(498,1),(506,1),(533,1),(536,1)}
       520:{1,5}:{(496,1),(499,1),(534,1)}
       521:{2,4,6,7}:{(497,1),(498,1),(500,1),(507,1),(535,1),(537,1)}
       522:{2,5,6}:{(498,1),(499,1),(501,1),(536,1),(537,1)}
       523:{3,5,7}:{(500,1),(501,1),(537,1),(538,1)}
       524:{4,5,6}:{(501,1),(502,1),(509,1),(538,1)}
       525:{2,5,7}:{(503,1),(505,1),(511,1),(532,1),(539,1)}
       526:{2,6}:{(504,1),(506,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(535,1),(539,1),(546,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,6}:{(513,1),(515,1),(540,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,4,6}:{(514,1),(517,1),(541,1),(542,1),(551,1)}
       532:{2,4,7}:{(515,1),(518,1),(525,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(526,1),(541,1),(544,1),(551,1)}
       534:{2,5}:{(517,1),(520,1),(542,1)}
       535:{1,4,6,7}:{(518,1),(519,1),(521,1),(527,1),(543,1),(545,1)}
       536:{1,5,6}:{(519,1),(520,1),(522,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(523,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,7}:{(529,1),(532,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,5}:{(531,1),(534,1),(548,1)}
       543:{2,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(546,1),(549,1),(552,1)}
       544:{2,5,6}:{(533,1),(534,1),(536,1),(547,1),(549,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{3,6,7}:{(540,1),(541,1),(543,1),(550,1)}
       547:{3,5,6}:{(541,1),(542,1),(544,1),(550,1),(551,1)}
       548:{4,5}:{(542,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(550,1)}
       550:{3,5,7}:{(546,1),(547,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1100 :   0:{3,5,6,7}:{(2,1),(3,1),(23,1),(27,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(68,1),(218,1),(321,1),(408,1),(417,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(48,1),(265,1),(376,1)}
         3:{4,6,7}:{(0,1),(12,1),(364,1),(446,1)}
         4:{4,5,6}:{(12,1),(14,1),(369,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(456,1)}
         6:{2,4,5,7}:{(1,1),(11,1),(15,1),(16,1),(48,1),(55,1),(100,1),(176,1),(278,1)}
         7:{2,3,4,7}:{(11,1),(17,1),(18,1),(100,1),(112,1),(176,1),(177,1),(374,1),(383,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(75,1),(214,1),(337,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(22,1),(23,1),(64,1),(418,1)}
        10:{2,4,5,6}:{(4,1),(21,1),(22,1),(24,1),(29,1),(66,1),(71,1),(224,1),(314,1),(330,1),(404,1),(418,1)}
        11:{2,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(33,1),(417,1),(426,1)}
        12:{4,5,7}:{(3,1),(4,1),(27,1)}
        13:{3,4,6,7}:{(3,1),(5,1),(23,1),(27,1),(28,1),(68,1)}
        14:{3,5,6}:{(4,1),(5,1),(27,1),(29,1),(321,1)}
        15:{2,4,6}:{(5,1),(6,1),(25,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(26,1),(30,1),(31,1),(75,1),(83,1),(139,1),(140,1),(235,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(33,1),(34,1),(71,1),(135,1),(152,1),(153,1),(226,1),(249,1),(329,1),(339,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(34,1),(35,1),(79,1),(82,1),(139,1),(140,1),(228,1),(237,1),(425,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(107,1),(166,1),(292,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(40,1),(95,1),(385,1)}
        21:{1,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(50,1),(97,1),(103,1),(173,1),(262,1),(287,1),(385,1)}
        22:{2,4,5,7}:{(9,1),(10,1),(12,1),(39,1),(42,1),(48,1),(94,1),(100,1),(265,1),(272,1),(364,1)}
        23:{3,6,7}:{(9,1),(42,1),(456,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(276,1),(379,1),(456,1)}
        25:{2,3,6}:{(11,1),(15,1),(46,1),(456,1),(463,1)}
        26:{1,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(52,1),(56,1),(462,1)}
        27:{3,5,7}:{(12,1),(13,1),(14,1),(48,1)}
        28:{2,4,6,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(100,1)}
        29:{2,5,6}:{(14,1),(15,1),(48,1),(50,1),(278,1)}
        30:{1,4,6}:{(15,1),(16,1),(46,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(47,1),(51,1),(52,1),(106,1),(107,1),(118,1),(186,1),(191,1),(193,1),(195,1)}
        32:{3,4,5}:{(44,1),(55,1),(301,1),(379,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(278,1),(379,1),(388,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(46,1),(56,1),(57,1),(103,1),(110,1),(116,1),(181,1),(184,1),(189,1),(198,1),(204,1),(207,1),(387,1)}
        35:{2,4,7}:{(18,1),(47,1),(57,1),(58,1),(280,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(147,1),(245,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(64,1),(344,1)}
        38:{2,4,5,6}:{(21,1),(60,1),(62,1),(66,1),(77,1),(122,1),(129,1),(143,1),(149,1),(212,1),(241,1),(344,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(22,1),(60,1),(63,1),(75,1),(133,1),(140,1),(214,1),(220,1)}
        40:{1,3,6,7}:{(20,1),(23,1),(61,1),(63,1),(64,1),(427,1)}
        41:{1,3,5,6}:{(21,1),(24,1),(62,1),(63,1),(65,1),(66,1),(340,1),(427,1)}
        42:{3,5,7}:{(22,1),(23,1),(24,1),(68,1),(324,1)}
        43:{2,3,6,7}:{(23,1),(25,1),(28,1),(64,1),(69,1),(70,1)}
        44:{3,4,6}:{(24,1),(32,1),(68,1),(71,1),(404,1)}
        45:{2,3,5,6}:{(24,1),(25,1),(29,1),(33,1),(66,1),(69,1),(71,1),(72,1),(135,1)}
        46:{1,3,6}:{(25,1),(26,1),(30,1),(73,1),(78,1),(491,1)}
        47:{2,5,7}:{(26,1),(35,1),(73,1),(84,1)}
        48:{2,5,7}:{(27,1),(28,1),(29,1),(75,1)}
        49:{1,4,6,7}:{(28,1),(30,1),(70,1),(75,1),(76,1),(140,1)}
        50:{1,5,6}:{(29,1),(30,1),(75,1),(77,1),(235,1)}
        51:{2,4,6}:{(30,1),(31,1),(73,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(237,1)}
        53:{1,3,4,5}:{(32,1),(65,1),(80,1),(83,1),(125,1),(155,1),(160,1),(217,1),(254,1),(320,1),(340,1)}
        54:{1,2,4,7}:{(35,1),(67,1),(81,1),(82,1),(139,1),(154,1),(333,1),(425,1)}
        55:{2,4,5}:{(32,1),(33,1),(71,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(235,1),(429,1)}
        57:{2,4,6}:{(34,1),(35,1),(73,1),(84,1),(85,1),(161,1),(232,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(237,1)}
        59:{4,6,7}:{(36,1),(87,1),(193,1),(296,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(39,1),(87,1),(89,1),(94,1),(107,1),(166,1),(169,1),(186,1),(193,1)}
        61:{3,6,7}:{(37,1),(89,1),(391,1)}
        62:{3,5,6}:{(38,1),(89,1),(91,1),(189,1),(293,1),(391,1)}
        63:{1,3,5,7}:{(39,1),(40,1),(41,1),(42,1),(89,1),(93,1),(94,1)}
        64:{2,6,7}:{(40,1),(94,1),(95,1),(463,1)}
        65:{1,3,4,6}:{(41,1),(44,1),(53,1),(91,1),(93,1),(96,1),(103,1),(173,1),(181,1),(189,1),(276,1)}
        66:{2,5,6}:{(41,1),(94,1),(96,1),(97,1),(388,1),(463,1)}
        67:{1,2,5,7}:{(47,1),(54,1),(98,1),(99,1),(115,1),(201,1),(462,1)}
        68:{3,4,7}:{(42,1),(44,1),(100,1),(364,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(45,1),(48,1),(94,1),(100,1),(101,1),(177,1)}
        70:{1,3,6,7}:{(43,1),(46,1),(49,1),(95,1),(101,1),(102,1),(108,1)}
        71:{2,4,6}:{(44,1),(45,1),(55,1),(100,1),(103,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(97,1),(101,1),(103,1),(104,1),(109,1),(181,1),(189,1)}
        73:{2,6}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(52,1),(58,1),(99,1),(105,1),(106,1),(119,1),(191,1)}
        75:{1,5,7}:{(48,1),(49,1),(50,1),(107,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1),(107,1),(108,1),(186,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(107,1),(109,1),(191,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(106,1),(110,1),(193,1),(207,1)}
        80:{2,4,5}:{(53,1),(96,1),(113,1),(114,1),(202,1),(306,1),(388,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(98,1),(115,1),(116,1),(184,1),(200,1),(204,1),(284,1),(299,1),(387,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(103,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(189,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(106,1),(117,1),(120,1),(121,1),(290,1),(311,1),(383,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(126,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(62,1),(126,1),(237,1)}
        90:{2,3,6,7}:{(61,1),(64,1),(124,1),(127,1),(128,1),(312,1)}
        91:{3,4,6}:{(62,1),(125,1),(126,1),(129,1),(149,1)}
        92:{2,3,5,6}:{(62,1),(66,1),(127,1),(129,1),(130,1),(135,1),(212,1),(216,1),(312,1)}
        93:{1,3,4,7}:{(63,1),(65,1),(68,1),(126,1),(132,1),(140,1),(220,1),(228,1),(237,1),(324,1)}
        94:{2,5,7}:{(63,1),(64,1),(66,1),(132,1),(133,1)}
        95:{1,6,7}:{(64,1),(133,1),(491,1)}
        96:{2,4,6}:{(65,1),(66,1),(80,1),(132,1),(135,1),(136,1),(232,1)}
        97:{1,5,6}:{(66,1),(133,1),(136,1),(429,1),(491,1)}
        98:{1,2,6}:{(67,1),(73,1),(138,1),(251,1),(491,1)}
        99:{1,3,5,7}:{(67,1),(74,1),(82,1),(131,1),(138,1),(139,1),(157,1),(235,1)}
       100:{2,4,7}:{(68,1),(69,1),(71,1),(140,1)}
       101:{1,3,5,7}:{(69,1),(70,1),(72,1),(75,1),(133,1),(140,1),(141,1),(147,1),(228,1),(237,1)}
       102:{2,6,7}:{(70,1),(73,1),(141,1)}
       103:{1,4,6}:{(71,1),(72,1),(83,1),(140,1),(143,1),(149,1)}
       104:{2,5,6}:{(72,1),(73,1),(84,1),(141,1),(143,1),(232,1)}
       105:{2,3,6}:{(73,1),(74,1),(78,1),(138,1),(145,1)}
       106:{2,4,7}:{(74,1),(79,1),(139,1),(145,1),(161,1)}
       107:{2,5,7}:{(75,1),(76,1),(77,1),(147,1)}
       108:{3,6,7}:{(76,1),(78,1),(147,1),(237,1)}
       109:{3,5,6}:{(77,1),(78,1),(147,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(145,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(146,1),(150,1),(151,1),(244,1),(247,1),(258,1),(343,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(135,1),(152,1),(155,1),(160,1),(320,1)}
       114:{1,4,5}:{(80,1),(136,1),(155,1),(354,1),(429,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(235,1),(250,1),(429,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(139,1),(154,1),(158,1),(159,1),(218,1),(357,1),(425,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(143,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(145,1),(158,1),(161,1),(162,1),(163,1),(240,1),(259,1),(339,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(146,1),(159,1),(162,1),(163,1),(343,1),(426,1)}
       122:{4,5,6}:{(87,1),(164,1),(296,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(169,1),(261,1)}
       125:{3,4,5}:{(91,1),(168,1),(195,1),(293,1),(505,1)}
       126:{3,4,7}:{(89,1),(91,1),(169,1),(193,1)}
       127:{2,3,5,7}:{(89,1),(90,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1)}
       128:{1,3,6,7}:{(90,1),(95,1),(167,1),(170,1),(171,1),(266,1),(359,1)}
       129:{2,4,6}:{(91,1),(92,1),(168,1),(169,1),(173,1)}
       130:{1,3,5,6}:{(92,1),(97,1),(170,1),(173,1),(174,1),(181,1),(262,1),(267,1),(276,1),(359,1),(361,1)}
       131:{2,3,5,7}:{(99,1),(112,1),(175,1),(176,1),(199,1),(201,1),(270,1),(278,1)}
       132:{2,4,7}:{(93,1),(94,1),(96,1),(177,1),(178,1),(280,1)}
       133:{1,5,7}:{(94,1),(95,1),(97,1),(178,1)}
       134:{1,2,6,7}:{(95,1),(98,1),(102,1),(171,1),(179,1),(180,1),(304,1),(439,1),(463,1),(514,1),(539,1)}
       135:{2,3,6}:{(96,1),(113,1),(177,1),(181,1),(189,1),(276,1)}
       136:{1,4,6}:{(96,1),(97,1),(114,1),(178,1),(181,1)}
       137:{1,2,5,6}:{(97,1),(98,1),(104,1),(115,1),(174,1),(179,1),(182,1),(183,1),(284,1),(303,1),(366,1),(388,1),(439,1),(463,1),(465,1),(512,1)}
       138:{1,3,6}:{(98,1),(99,1),(105,1),(175,1),(184,1)}
       139:{1,4,7}:{(99,1),(106,1),(176,1),(184,1),(204,1)}
       140:{1,4,7}:{(100,1),(101,1),(103,1),(186,1),(193,1)}
       141:{2,5,7}:{(101,1),(102,1),(104,1),(186,1),(280,1)}
       142:{2,3,6,7}:{(102,1),(105,1),(108,1),(180,1),(187,1),(188,1),(391,1),(463,1),(496,1),(539,1),(549,1)}
       143:{2,4,6}:{(103,1),(104,1),(118,1),(186,1),(189,1)}
       144:{2,3,5,6}:{(104,1),(105,1),(109,1),(119,1),(183,1),(187,1),(189,1),(190,1),(191,1),(285,1),(292,1),(293,1),(388,1),(391,1),(448,1),(463,1),(496,1),(512,1),(531,1),(537,1),(547,1)}
       145:{2,4,6}:{(105,1),(106,1),(110,1),(184,1),(191,1)}
       146:{2,4,5,7}:{(106,1),(111,1),(121,1),(185,1),(191,1),(192,1),(208,1),(295,1),(311,1)}
       147:{3,5,7}:{(107,1),(108,1),(109,1),(193,1)}
       148:{3,4,6,7}:{(108,1),(110,1),(188,1),(193,1),(194,1),(290,1),(296,1),(391,1),(530,1),(549,1),(552,1)}
       149:{4,6}:{(109,1),(193,1),(195,1)}
       150:{3,5}:{(110,1),(191,1),(195,1)}
       151:{3,4,6}:{(111,1),(192,1),(196,1),(296,1),(391,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(368,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(181,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(182,1),(202,1),(203,1),(204,1),(268,1),(287,1),(299,1),(302,1),(306,1),(366,1),(388,1),(399,1),(449,1),(467,1),(506,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(184,1),(200,1),(204,1),(205,1),(206,1),(269,1),(301,1),(308,1),(387,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(185,1),(201,1),(205,1),(206,1),(270,1),(462,1)}
       160:{3,5}:{(118,1),(189,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(191,1),(205,1),(208,1),(293,1),(388,1)}
       163:{2,3,6}:{(121,1),(192,1),(206,1),(391,1),(463,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(126,1),(211,1),(213,1),(244,1),(343,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(128,1),(214,1),(215,1),(220,1),(313,1)}
       168:{2,4,5}:{(125,1),(129,1),(216,1),(217,1),(480,1)}
       169:{2,4,7}:{(126,1),(127,1),(129,1),(220,1)}
       170:{1,3,5,7}:{(127,1),(128,1),(130,1),(133,1),(214,1),(220,1),(221,1),(228,1),(317,1),(324,1)}
       171:{2,6,7}:{(128,1),(221,1),(402,1)}
       172:{2,3,4,6}:{(129,1),(135,1),(152,1),(216,1),(219,1),(223,1),(240,1),(312,1),(339,1),(420,1),(480,1),(516,1)}
       173:{1,4,6}:{(129,1),(130,1),(217,1),(220,1),(224,1),(404,1)}
       174:{2,5,6}:{(130,1),(221,1),(224,1),(232,1),(319,1),(402,1)}
       175:{2,3,6}:{(131,1),(138,1),(226,1),(251,1),(322,1)}
       176:{2,4,7}:{(131,1),(139,1),(218,1),(226,1),(249,1)}
       177:{2,3,7}:{(132,1),(135,1),(228,1),(237,1),(324,1)}
       178:{1,4,7}:{(132,1),(133,1),(136,1),(228,1)}
       179:{1,2,5,7}:{(133,1),(134,1),(137,1),(141,1),(221,1),(229,1),(230,1),(333,1),(353,1),(426,1),(493,1),(529,1)}
       180:{1,3,6,7}:{(134,1),(138,1),(142,1),(222,1),(230,1),(231,1),(427,1),(471,1),(491,1)}
       181:{1,3,6}:{(135,1),(136,1),(155,1),(228,1),(232,1)}
       182:{1,2,4,6}:{(136,1),(137,1),(143,1),(156,1),(224,1),(229,1),(232,1),(233,1),(234,1),(339,1),(352,1),(437,1),(494,1),(525,1)}
       183:{1,3,5,6}:{(137,1),(138,1),(144,1),(157,1),(225,1),(230,1),(233,1),(234,1),(235,1),(337,1),(338,1),(340,1),(410,1),(427,1),(429,1),(471,1),(491,1),(517,1)}
       184:{1,4,6}:{(138,1),(139,1),(145,1),(226,1),(235,1)}
       185:{1,4,5,7}:{(139,1),(146,1),(159,1),(227,1),(235,1),(236,1),(255,1),(342,1),(357,1)}
       186:{2,4,7}:{(140,1),(141,1),(143,1),(237,1)}
       187:{2,3,5,7}:{(141,1),(142,1),(144,1),(147,1),(230,1),(237,1),(238,1),(239,1),(334,1),(343,1),(426,1),(529,1),(545,1),(551,1)}
       188:{2,4,6,7}:{(142,1),(145,1),(148,1),(231,1),(238,1),(239,1),(344,1),(516,1)}
       189:{3,6}:{(143,1),(160,1),(237,1)}
       190:{2,4,6}:{(144,1),(149,1),(161,1),(234,1),(238,1),(240,1),(241,1),(480,1),(550,1)}
       191:{2,5}:{(145,1),(150,1),(235,1)}
       192:{2,4,6}:{(146,1),(151,1),(163,1),(236,1),(242,1)}
       193:{4,7}:{(147,1),(149,1)}
       194:{3,5,7}:{(148,1),(150,1),(239,1),(244,1),(245,1),(540,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(242,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(243,1),(247,1),(348,1),(358,1),(432,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(232,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(233,1),(253,1),(254,1),(320,1),(349,1),(351,1),(524,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(235,1),(250,1),(255,1),(321,1),(351,1),(429,1)}
       206:{1,3,6}:{(159,1),(163,1),(236,1),(251,1),(322,1),(491,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(242,1),(256,1),(259,1),(260,1),(346,1),(430,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(243,1),(257,1),(260,1),(432,1),(492,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(296,1),(391,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(169,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(171,1),(265,1),(266,1),(272,1),(360,1),(364,1)}
       216:{2,3,5}:{(168,1),(172,1),(267,1),(293,1),(388,1),(531,1)}
       217:{1,4,5}:{(168,1),(173,1),(267,1),(268,1),(442,1),(449,1)}
       218:{3,4,7}:{(176,1),(269,1),(270,1),(301,1),(452,1)}
       219:{2,3,4,7}:{(169,1),(172,1),(177,1),(263,1),(271,1),(290,1),(383,1),(453,1),(501,1)}
       220:{1,4,7}:{(169,1),(170,1),(173,1),(272,1),(364,1)}
       221:{2,5,7}:{(170,1),(171,1),(174,1),(272,1),(280,1)}
       222:{2,3,6,7}:{(171,1),(175,1),(180,1),(266,1),(273,1),(274,1),(304,1),(371,1),(440,1),(456,1),(463,1)}
       223:{1,3,4,6}:{(172,1),(173,1),(181,1),(198,1),(267,1),(271,1),(275,1),(276,1),(359,1),(368,1),(377,1),(387,1),(441,1),(449,1),(497,1)}
       224:{2,4,6}:{(173,1),(174,1),(268,1),(272,1),(276,1)}
       225:{2,3,5,6}:{(174,1),(175,1),(183,1),(199,1),(273,1),(276,1),(277,1),(278,1),(285,1),(303,1),(361,1),(367,1),(370,1),(376,1),(379,1),(388,1),(397,1),(440,1),(456,1),(463,1),(498,1)}
       226:{2,4,6}:{(175,1),(176,1),(184,1),(269,1),(278,1)}
       227:{2,4,5,7}:{(176,1),(185,1),(201,1),(270,1),(278,1),(279,1),(302,1),(369,1),(381,1),(398,1),(452,1)}
       228:{1,3,7}:{(177,1),(178,1),(181,1),(280,1)}
       229:{1,2,4,7}:{(178,1),(179,1),(182,1),(186,1),(272,1),(280,1),(281,1),(282,1),(383,1),(398,1),(470,1),(515,1),(538,1)}
       230:{1,3,5,7}:{(179,1),(180,1),(183,1),(187,1),(273,1),(281,1),(282,1),(283,1),(382,1),(462,1)}
       231:{1,4,6,7}:{(180,1),(184,1),(188,1),(274,1),(282,1),(283,1),(385,1),(497,1)}
       232:{2,6}:{(181,1),(202,1),(280,1)}
       233:{1,3,6}:{(182,1),(189,1),(203,1),(276,1),(281,1),(285,1),(397,1),(537,1)}
       234:{1,4,6}:{(183,1),(190,1),(204,1),(277,1),(282,1),(287,1),(449,1)}
       235:{1,5}:{(184,1),(191,1),(278,1)}
       236:{1,4,6}:{(185,1),(192,1),(206,1),(279,1),(288,1)}
       237:{3,7}:{(186,1),(189,1)}
       238:{2,4,7}:{(187,1),(190,1),(193,1),(282,1),(290,1),(552,1)}
       239:{2,5,7}:{(188,1),(191,1),(194,1),(283,1),(292,1),(531,1)}
       240:{3,4,6}:{(189,1),(190,1),(207,1),(290,1),(293,1),(391,1),(505,1),(537,1)}
       241:{2,4,5}:{(190,1),(191,1),(195,1),(287,1),(293,1),(388,1),(531,1),(546,1)}
       242:{2,5,6}:{(191,1),(192,1),(196,1),(288,1),(295,1)}
       243:{2,4,6,7}:{(192,1),(197,1),(210,1),(289,1),(295,1),(311,1)}
       244:{4,5,7}:{(193,1),(194,1),(195,1),(296,1),(546,1),(552,1)}
       245:{3,5,6}:{(194,1),(292,1),(296,1),(391,1)}
       246:{4,5,6}:{(195,1),(196,1),(296,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(295,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(284,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(285,1),(300,1),(305,1),(306,1),(388,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(368,1),(449,1),(505,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(369,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(288,1),(303,1),(308,1),(309,1),(370,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(289,1),(304,1),(309,1),(371,1),(514,1)}
       258:{3,4,5}:{(207,1),(208,1),(293,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(295,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(219,1),(312,1),(315,1),(343,1),(426,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(220,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(324,1),(403,1)}
       267:{1,3,5}:{(216,1),(217,1),(223,1),(319,1),(320,1),(429,1),(473,1),(517,1)}
       268:{2,4,5}:{(217,1),(224,1),(319,1),(320,1),(411,1)}
       269:{3,4,6}:{(218,1),(226,1),(321,1),(322,1),(413,1)}
       270:{3,5,7}:{(218,1),(227,1),(321,1),(322,1),(351,1),(436,1)}
       271:{1,3,4,7}:{(219,1),(220,1),(223,1),(228,1),(315,1),(323,1),(324,1),(407,1),(415,1),(425,1),(476,1)}
       272:{2,4,7}:{(220,1),(221,1),(224,1),(324,1)}
       273:{2,3,5,7}:{(221,1),(222,1),(225,1),(230,1),(317,1),(324,1),(325,1),(326,1),(334,1),(353,1),(414,1),(417,1),(426,1),(436,1)}
       274:{2,4,6,7}:{(222,1),(226,1),(231,1),(318,1),(325,1),(326,1),(418,1),(472,1)}
       275:{2,4,6}:{(223,1),(232,1),(248,1),(319,1),(323,1),(328,1),(402,1),(411,1)}
       276:{3,6}:{(224,1),(320,1),(324,1)}
       277:{2,4,6}:{(225,1),(234,1),(249,1),(325,1),(329,1),(330,1),(404,1),(411,1),(413,1)}
       278:{2,5}:{(226,1),(235,1),(321,1)}
       279:{2,4,6}:{(227,1),(236,1),(251,1),(322,1),(331,1),(413,1)}
       280:{2,7}:{(228,1),(232,1)}
       281:{1,3,7}:{(229,1),(233,1),(237,1),(324,1),(334,1),(436,1),(545,1)}
       282:{1,4,7}:{(230,1),(234,1),(238,1),(325,1)}
       283:{1,5,7}:{(231,1),(235,1),(239,1),(326,1),(337,1),(517,1)}
       284:{1,2,6}:{(232,1),(252,1),(333,1),(338,1),(494,1)}
       285:{2,3,6}:{(232,1),(233,1),(253,1),(334,1),(338,1),(339,1),(494,1)}
       286:{1,3,4,6}:{(233,1),(234,1),(240,1),(254,1),(329,1),(335,1),(339,1),(340,1),(427,1)}
       287:{1,4,5}:{(234,1),(235,1),(241,1),(330,1),(340,1),(429,1),(517,1)}
       288:{1,5,6}:{(235,1),(236,1),(242,1),(331,1),(342,1)}
       289:{1,4,6,7}:{(236,1),(243,1),(257,1),(332,1),(342,1),(357,1)}
       290:{3,4,7}:{(237,1),(238,1),(240,1),(343,1),(545,1)}
       291:{2,4,5,7}:{(238,1),(239,1),(241,1),(244,1),(336,1),(343,1),(344,1),(426,1)}
       292:{2,5,6}:{(239,1),(245,1),(337,1),(344,1)}
       293:{3,5}:{(240,1),(241,1)}
       294:{2,4,5,6}:{(241,1),(242,1),(246,1),(259,1),(341,1),(344,1),(346,1),(347,1),(430,1),(525,1),(541,1),(550,1)}
       295:{2,5,7}:{(242,1),(243,1),(247,1),(342,1)}
       296:{4,6}:{(244,1),(245,1)}
       297:{3,5,6,7}:{(245,1),(247,1),(345,1),(348,1),(432,1),(551,1)}
       298:{4,5,7}:{(246,1),(247,1),(348,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(338,1),(349,1),(354,1),(429,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(340,1),(351,1),(355,1),(356,1),(412,1),(434,1),(481,1),(524,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(413,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(342,1),(353,1),(357,1),(414,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(346,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(391,1),(463,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(271,1),(359,1),(362,1),(363,1),(462,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(272,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(269,1),(274,1),(364,1),(365,1),(371,1),(374,1),(441,1),(446,1),(452,1),(456,1)}
       319:{2,5}:{(267,1),(275,1)}
       320:{3,5}:{(268,1),(276,1),(368,1)}
       321:{3,5}:{(269,1),(278,1),(369,1)}
       322:{3,6}:{(270,1),(279,1)}
       323:{2,4,7}:{(271,1),(275,1),(280,1),(362,1),(373,1)}
       324:{3,7}:{(272,1),(276,1)}
       325:{2,4,7}:{(273,1),(277,1),(282,1),(364,1),(374,1),(452,1)}
       326:{2,5,7}:{(274,1),(278,1),(283,1),(365,1),(376,1),(498,1)}
       327:{1,2,4,6}:{(275,1),(284,1),(299,1),(366,1),(372,1),(377,1),(387,1),(439,1),(449,1),(458,1),(497,1)}
       328:{2,3,6}:{(275,1),(276,1),(300,1),(367,1),(373,1),(377,1)}
       329:{3,4,6}:{(276,1),(277,1),(301,1),(368,1),(374,1),(379,1),(397,1),(456,1)}
       330:{2,4,5}:{(277,1),(278,1),(287,1),(369,1),(379,1),(388,1),(442,1),(498,1)}
       331:{2,5,6}:{(278,1),(279,1),(288,1),(370,1),(381,1)}
       332:{2,4,6,7}:{(279,1),(289,1),(304,1),(371,1),(381,1),(398,1),(452,1)}
       333:{1,2,7}:{(280,1),(284,1),(382,1),(515,1)}
       334:{2,3,7}:{(280,1),(281,1),(285,1),(382,1),(383,1),(515,1)}
       335:{1,3,4,7}:{(281,1),(282,1),(286,1),(290,1),(374,1),(383,1),(384,1)}
       336:{1,4,5,7}:{(282,1),(283,1),(287,1),(291,1),(375,1),(384,1),(385,1),(462,1)}
       337:{1,5,6}:{(283,1),(292,1),(376,1),(385,1)}
       338:{1,3,6}:{(284,1),(285,1),(305,1),(382,1),(387,1)}
       339:{2,4,6}:{(285,1),(286,1),(306,1),(383,1),(387,1),(388,1),(463,1)}
       340:{1,3,5}:{(286,1),(287,1),(293,1),(379,1),(388,1)}
       341:{1,4,5,6}:{(287,1),(288,1),(294,1),(308,1),(380,1),(385,1),(389,1),(390,1),(465,1),(507,1),(532,1)}
       342:{1,5,7}:{(288,1),(289,1),(295,1),(381,1)}
       343:{3,5,7}:{(290,1),(291,1),(293,1),(391,1)}
       344:{2,4,6}:{(291,1),(292,1),(296,1),(385,1),(391,1),(463,1)}
       345:{2,5,6,7}:{(292,1),(295,1),(297,1),(386,1),(392,1),(548,1)}
       346:{3,5,6}:{(293,1),(294,1),(310,1),(391,1),(393,1),(537,1)}
       347:{2,4,5,7}:{(294,1),(295,1),(298,1),(311,1),(390,1),(392,1),(393,1),(466,1),(538,1),(548,1),(552,1)}
       348:{4,6,7}:{(296,1),(297,1),(298,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(505,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(388,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(389,1),(397,1),(400,1),(401,1),(451,1),(468,1),(507,1),(537,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(452,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(491,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(323,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(324,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(321,1),(326,1),(408,1),(409,1),(473,1)}
       366:{1,2,5}:{(319,1),(327,1),(410,1),(429,1),(488,1),(517,1)}
       367:{2,3,5}:{(319,1),(320,1),(328,1),(410,1),(411,1)}
       368:{3,4}:{(320,1),(411,1)}
       369:{4,5}:{(321,1),(413,1)}
       370:{3,5,6}:{(321,1),(322,1),(331,1),(413,1),(414,1)}
       371:{3,6,7}:{(322,1),(332,1),(414,1),(436,1)}
       372:{1,2,4,7}:{(323,1),(327,1),(333,1),(405,1),(415,1),(425,1),(476,1),(484,1)}
       373:{2,3,7}:{(323,1),(324,1),(328,1),(415,1)}
       374:{3,4,7}:{(324,1),(325,1),(329,1),(417,1),(436,1)}
       375:{2,4,5,7}:{(325,1),(326,1),(330,1),(336,1),(408,1),(417,1),(418,1),(426,1)}
       376:{2,5,6}:{(326,1),(337,1),(409,1),(418,1)}
       377:{1,3,6}:{(327,1),(328,1),(349,1),(410,1),(415,1),(420,1)}
       378:{2,3,4,6}:{(328,1),(329,1),(339,1),(350,1),(411,1),(416,1),(421,1),(422,1),(435,1),(472,1),(482,1),(486,1)}
       379:{3,5}:{(329,1),(330,1)}
       380:{2,4,5,6}:{(330,1),(331,1),(341,1),(352,1),(413,1),(418,1),(423,1),(424,1),(430,1),(474,1),(482,1),(518,1)}
       381:{2,5,7}:{(331,1),(332,1),(342,1),(414,1)}
       382:{1,3,7}:{(333,1),(334,1),(338,1),(425,1)}
       383:{2,4,7}:{(334,1),(335,1),(339,1),(425,1),(426,1)}
       384:{1,3,5,7}:{(335,1),(336,1),(340,1),(343,1),(417,1),(426,1),(427,1)}
       385:{1,4,6}:{(336,1),(337,1),(344,1),(418,1),(427,1),(491,1)}
       386:{1,5,6,7}:{(337,1),(342,1),(345,1),(419,1),(428,1),(542,1)}
       387:{1,4,6}:{(338,1),(339,1),(354,1),(425,1),(429,1),(491,1)}
       388:{2,5}:{(339,1),(340,1),(429,1)}
       389:{1,3,5,6}:{(340,1),(341,1),(346,1),(356,1),(423,1),(427,1),(430,1),(431,1)}
       390:{1,4,5,7}:{(341,1),(342,1),(347,1),(357,1),(424,1),(428,1),(431,1),(493,1),(526,1),(542,1)}
       391:{3,6}:{(343,1),(344,1)}
       392:{2,4,6,7}:{(344,1),(345,1),(347,1),(348,1),(428,1),(432,1),(492,1)}
       393:{3,5,7}:{(346,1),(347,1),(358,1),(432,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(524,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(429,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(430,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(431,1),(436,1),(438,1),(483,1),(495,1),(526,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(372,1),(439,1),(443,1),(462,1),(509,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(373,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(368,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(369,1),(442,1),(446,1),(452,1)}
       409:{3,5,6}:{(365,1),(376,1),(446,1),(456,1)}
       410:{1,3,5}:{(366,1),(367,1),(377,1),(448,1),(449,1)}
       411:{2,4}:{(367,1),(368,1),(449,1)}
       412:{3,4,5}:{(368,1),(369,1),(379,1),(450,1),(451,1)}
       413:{4,6}:{(369,1),(370,1),(452,1)}
       414:{3,5,7}:{(370,1),(371,1),(381,1),(452,1)}
       415:{1,3,7}:{(372,1),(373,1),(377,1),(453,1)}
       416:{2,3,4,7}:{(373,1),(374,1),(378,1),(383,1),(444,1),(454,1),(455,1),(469,1),(508,1)}
       417:{3,5,7}:{(374,1),(375,1),(379,1),(456,1)}
       418:{2,4,6}:{(375,1),(376,1),(385,1),(446,1),(456,1),(463,1)}
       419:{2,5,6,7}:{(376,1),(381,1),(386,1),(447,1),(457,1),(533,1)}
       420:{2,3,6}:{(377,1),(394,1),(448,1),(453,1),(458,1),(537,1)}
       421:{1,3,4,6}:{(377,1),(378,1),(387,1),(395,1),(449,1),(454,1),(458,1),(459,1),(468,1),(497,1),(505,1),(507,1),(510,1),(530,1),(537,1)}
       422:{2,3,5}:{(378,1),(379,1),(388,1),(450,1),(459,1),(498,1)}
       423:{3,5,6}:{(379,1),(380,1),(397,1),(451,1),(456,1),(461,1)}
       424:{2,4,5,7}:{(380,1),(381,1),(390,1),(398,1),(452,1),(457,1),(461,1),(466,1),(500,1),(508,1),(533,1)}
       425:{1,4,7}:{(382,1),(383,1),(387,1),(462,1)}
       426:{2,5,7}:{(383,1),(384,1),(388,1),(462,1),(463,1)}
       427:{1,3,6}:{(384,1),(385,1),(391,1),(456,1),(463,1)}
       428:{1,4,6,7}:{(385,1),(386,1),(390,1),(392,1),(457,1),(464,1),(514,1)}
       429:{1,5}:{(387,1),(388,1)}
       430:{2,5,6}:{(388,1),(389,1),(400,1),(463,1),(465,1),(466,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(393,1),(401,1),(461,1),(464,1),(466,1)}
       432:{3,6,7}:{(391,1),(392,1),(393,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(537,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(491,1),(527,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(415,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(411,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(417,1),(473,1),(477,1),(478,1),(483,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(419,1),(479,1),(487,1),(519,1)}
       448:{2,3,5}:{(410,1),(420,1),(480,1),(488,1),(524,1)}
       449:{1,4}:{(410,1),(411,1),(480,1)}
       450:{2,4,5}:{(411,1),(412,1),(422,1),(481,1),(482,1)}
       451:{3,4,6}:{(412,1),(413,1),(423,1),(482,1),(483,1)}
       452:{4,7}:{(413,1),(414,1)}
       453:{2,3,7}:{(415,1),(420,1),(484,1),(545,1)}
       454:{1,3,4,7}:{(415,1),(416,1),(421,1),(425,1),(476,1),(484,1),(485,1),(495,1),(520,1),(526,1),(545,1)}
       455:{2,3,5,7}:{(416,1),(417,1),(422,1),(426,1),(477,1),(485,1),(486,1)}
       456:{3,6}:{(417,1),(418,1)}
       457:{2,4,6,7}:{(418,1),(419,1),(424,1),(428,1),(479,1),(487,1),(492,1)}
       458:{2,4,6}:{(420,1),(421,1),(433,1),(480,1),(484,1),(488,1),(494,1),(527,1)}
       459:{1,3,5}:{(421,1),(422,1),(429,1),(481,1),(488,1),(517,1),(524,1),(540,1)}
       460:{2,3,5,6}:{(422,1),(423,1),(430,1),(435,1),(482,1),(486,1),(489,1),(490,1),(518,1)}
       461:{3,5,7}:{(423,1),(424,1),(436,1),(483,1),(487,1)}
       462:{1,5,7}:{(425,1),(426,1),(429,1),(491,1)}
       463:{2,6}:{(426,1),(427,1),(491,1)}
       464:{1,3,6,7}:{(427,1),(428,1),(431,1),(432,1),(487,1),(492,1)}
       465:{1,5,6}:{(429,1),(430,1),(437,1),(491,1),(493,1)}
       466:{2,5,7}:{(430,1),(431,1),(438,1),(492,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(453,1),(496,1),(501,1),(509,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(449,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(455,1),(498,1),(502,1),(503,1),(508,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(456,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(452,1),(500,1)}
       480:{2,4}:{(448,1),(449,1),(505,1)}
       481:{1,4,5}:{(449,1),(450,1),(459,1),(506,1),(507,1),(546,1)}
       482:{2,4,6}:{(450,1),(451,1),(460,1),(507,1),(508,1)}
       483:{3,4,7}:{(451,1),(452,1),(461,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(458,1),(509,1),(515,1)}
       485:{1,3,5,7}:{(454,1),(455,1),(459,1),(462,1),(502,1),(509,1),(510,1),(534,1)}
       486:{2,3,6}:{(455,1),(456,1),(463,1),(503,1),(510,1)}
       487:{3,6,7}:{(456,1),(457,1),(461,1)}
       488:{2,5}:{(458,1),(459,1)}
       489:{1,3,5,6}:{(459,1),(460,1),(465,1),(468,1),(507,1),(510,1),(512,1),(513,1),(532,1),(537,1),(547,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(466,1),(469,1),(508,1),(511,1),(513,1),(533,1)}
       491:{1,6}:{(462,1),(463,1)}
       492:{2,6,7}:{(463,1),(464,1),(466,1),(514,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(514,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(527,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(480,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(485,1),(517,1),(521,1),(522,1),(526,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(486,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(487,1),(519,1),(523,1)}
       505:{3,4}:{(480,1),(524,1)}
       506:{2,4,5}:{(480,1),(481,1),(488,1),(524,1),(525,1)}
       507:{1,4,6}:{(481,1),(482,1),(489,1),(525,1),(526,1),(550,1)}
       508:{2,4,7}:{(482,1),(483,1),(490,1),(526,1)}
       509:{2,5,7}:{(484,1),(485,1),(488,1),(527,1)}
       510:{1,3,6}:{(485,1),(486,1),(491,1),(522,1),(527,1),(543,1)}
       511:{2,3,6,7}:{(486,1),(487,1),(490,1),(492,1),(523,1),(528,1)}
       512:{2,5,6}:{(488,1),(489,1),(494,1),(525,1),(527,1),(529,1)}
       513:{1,3,5,7}:{(489,1),(490,1),(493,1),(495,1),(526,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       514:{1,6,7}:{(491,1),(492,1),(493,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(505,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(506,1),(509,1),(531,1),(534,1),(535,1),(538,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(510,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(508,1),(511,1),(533,1),(536,1)}
       524:{3,5}:{(505,1),(506,1),(537,1)}
       525:{2,4,6}:{(506,1),(507,1),(512,1),(537,1),(538,1)}
       526:{1,4,7}:{(507,1),(508,1),(513,1),(538,1),(552,1)}
       527:{2,6}:{(509,1),(510,1)}
       528:{1,3,6,7}:{(510,1),(511,1),(513,1),(514,1),(536,1),(539,1),(549,1)}
       529:{2,5,7}:{(512,1),(513,1),(515,1),(538,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(524,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(527,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(526,1),(528,1),(542,1),(544,1)}
       537:{3,6}:{(524,1),(525,1),(545,1)}
       538:{2,4,7}:{(525,1),(526,1),(529,1),(545,1)}
       539:{2,6,7}:{(527,1),(528,1),(529,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(538,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(537,1),(538,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1101 :   0:{3,4,5,7}:{(1,1),(2,1),(13,1),(67,1),(103,1),(197,1),(301,1),(376,1),(379,1)}
         1:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(42,1),(70,1),(150,1),(251,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(417,1),(420,1)}
         3:{2,3,4,7}:{(6,1),(10,1),(11,1),(70,1),(90,1),(150,1),(237,1),(332,1),(336,1)}
         4:{3,4,6,7}:{(2,1),(12,1),(13,1),(15,1),(50,1),(103,1)}
         5:{3,5,6,7}:{(13,1),(14,1),(15,1),(50,1),(375,1),(394,1)}
         6:{2,3,5,7}:{(1,1),(3,1),(16,1),(17,1),(24,1),(379,1),(383,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(18,1),(19,1),(46,1),(66,1),(102,1),(112,1),(202,1)}
         8:{2,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1)}
         9:{3,5,6}:{(2,1),(13,1),(20,1),(21,1),(301,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(22,1),(23,1),(56,1),(61,1),(102,1),(112,1),(186,1),(291,1),(384,1)}
        11:{2,3,4,6}:{(3,1),(17,1),(23,1),(24,1),(55,1),(126,1),(199,1),(209,1),(218,1),(227,1),(305,1),(309,1)}
        12:{2,4,6,7}:{(4,1),(8,1),(25,1),(26,1),(27,1),(70,1)}
        13:{3,5,7}:{(4,1),(9,1),(27,1),(28,1)}
        14:{2,5,6,7}:{(5,1),(27,1),(29,1),(30,1),(330,1),(347,1)}
        15:{4,6,7}:{(5,1),(28,1),(417,1),(433,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(10,1),(31,1),(32,1),(34,1),(41,1),(425,1)}
        17:{2,3,6}:{(6,1),(8,1),(32,1),(420,1),(424,1)}
        18:{2,4,5,7}:{(7,1),(31,1),(34,1),(35,1),(72,1),(80,1),(97,1),(140,1),(143,1),(157,1),(163,1)}
        19:{1,4,6}:{(7,1),(8,1),(32,1),(35,1),(36,1)}
        20:{2,5,6}:{(8,1),(9,1),(27,1),(36,1),(251,1)}
        21:{4,5,6}:{(9,1),(28,1),(351,1),(417,1)}
        22:{2,4,7}:{(10,1),(31,1),(39,1),(40,1),(342,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(32,1),(40,1),(41,1),(83,1),(86,1),(92,1),(153,1),(159,1),(172,1),(177,1),(262,1),(278,1),(359,1)}
        24:{2,3,5}:{(11,1),(41,1),(42,1),(251,1),(354,1),(358,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(43,1),(44,1),(50,1),(110,1)}
        26:{1,4,6,7}:{(12,1),(19,1),(43,1),(45,1),(46,1),(102,1)}
        27:{2,5,7}:{(12,1),(13,1),(20,1),(46,1)}
        28:{4,5,7}:{(13,1),(15,1),(21,1)}
        29:{1,5,6,7}:{(14,1),(46,1),(48,1),(49,1),(283,1),(298,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(47,1),(49,1),(50,1),(110,1),(378,1)}
        31:{2,5,7}:{(16,1),(22,1),(53,1),(65,1)}
        32:{1,3,6}:{(16,1),(17,1),(19,1),(53,1),(57,1),(461,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(24,1),(44,1),(54,1),(55,1),(60,1),(124,1),(209,1)}
        34:{3,5,7}:{(18,1),(56,1),(57,1),(121,1),(134,1),(186,1)}
        35:{2,4,6}:{(18,1),(19,1),(53,1),(57,1),(58,1),(122,1)}
        36:{1,5,6}:{(19,1),(20,1),(46,1),(58,1),(202,1)}
        37:{2,4,5,6}:{(20,1),(21,1),(47,1),(55,1),(59,1),(60,1),(124,1),(304,1),(317,1),(378,1),(393,1),(468,1)}
        38:{1,2,4,7}:{(22,1),(51,1),(61,1),(62,1),(112,1),(125,1),(384,1),(385,1)}
        39:{2,3,7}:{(22,1),(61,1),(64,1),(186,1)}
        40:{2,4,6}:{(22,1),(23,1),(53,1),(64,1),(65,1),(133,1),(315,1),(328,1)}
        41:{1,3,5}:{(23,1),(24,1),(65,1),(66,1),(121,1),(134,1),(202,1),(404,1)}
        42:{2,4,5}:{(24,1),(55,1),(66,1),(67,1),(218,1)}
        43:{1,3,6,7}:{(25,1),(26,1),(32,1),(68,1),(69,1),(71,1),(149,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(33,1),(69,1),(70,1),(74,1),(145,1),(237,1)}
        45:{2,4,6,7}:{(26,1),(35,1),(68,1),(71,1),(72,1),(140,1),(143,1)}
        46:{1,5,7}:{(26,1),(27,1),(36,1),(72,1)}
        47:{2,4,5,7}:{(27,1),(28,1),(30,1),(37,1),(70,1),(73,1),(74,1),(145,1),(345,1),(347,1),(433,1)}
        48:{2,5,6,7}:{(29,1),(72,1),(75,1),(76,1),(234,1),(245,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(73,1),(76,1),(77,1),(149,1),(334,1)}
        50:{3,6,7}:{(30,1),(74,1),(420,1)}
        51:{1,2,5,7}:{(31,1),(38,1),(78,1),(79,1),(93,1),(167,1),(425,1)}
        52:{2,3,5,7}:{(31,1),(34,1),(39,1),(78,1),(80,1),(81,1),(96,1),(157,1)}
        53:{2,6}:{(31,1),(32,1)}
        54:{1,3,5,6}:{(32,1),(33,1),(36,1),(41,1),(69,1),(82,1),(83,1),(87,1),(159,1),(166,1),(262,1)}
        55:{2,4,6}:{(33,1),(42,1),(70,1),(83,1),(84,1)}
        56:{3,4,7}:{(34,1),(80,1),(86,1),(143,1),(177,1)}
        57:{3,6}:{(34,1),(35,1)}
        58:{2,5,6}:{(35,1),(36,1),(72,1),(87,1),(157,1)}
        59:{1,4,5,6}:{(36,1),(37,1),(73,1),(83,1),(88,1),(89,1),(166,1),(255,1),(265,1),(334,1),(346,1)}
        60:{3,5,6}:{(37,1),(74,1),(84,1),(354,1),(365,1),(420,1)}
        61:{1,3,7}:{(38,1),(39,1),(90,1),(92,1)}
        62:{1,2,4,6}:{(38,1),(40,1),(79,1),(92,1),(93,1),(153,1),(168,1),(172,1),(359,1),(360,1),(373,1)}
        63:{2,3,4,7}:{(39,1),(80,1),(91,1),(94,1),(95,1),(236,1),(276,1),(336,1),(447,1)}
        64:{2,3,6}:{(39,1),(40,1),(92,1),(96,1),(159,1),(374,1)}
        65:{2,5}:{(40,1),(41,1)}
        66:{1,4,5}:{(41,1),(42,1),(83,1),(97,1),(163,1),(172,1)}
        67:{3,4,5}:{(42,1),(84,1),(270,1),(354,1),(496,1)}
        68:{2,6,7}:{(43,1),(53,1),(101,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(46,1),(54,1),(101,1),(102,1),(105,1),(186,1),(192,1),(291,1)}
        70:{2,4,7}:{(44,1),(55,1),(102,1),(103,1)}
        71:{3,6,7}:{(45,1),(57,1),(105,1),(186,1)}
        72:{2,5,7}:{(45,1),(46,1),(58,1),(105,1)}
        73:{1,4,5,7}:{(46,1),(47,1),(49,1),(59,1),(102,1),(106,1),(107,1),(192,1),(295,1),(298,1)}
        74:{3,5,7}:{(47,1),(50,1),(60,1),(103,1),(392,1)}
        75:{3,5,6,7}:{(48,1),(105,1),(108,1),(109,1),(188,1),(194,1)}
        76:{2,4,6,7}:{(48,1),(49,1),(106,1),(108,1),(109,1),(110,1),(288,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(107,1),(109,1),(110,1),(382,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(61,1),(111,1),(112,1),(113,1),(129,1),(202,1)}
        79:{1,2,6}:{(51,1),(53,1),(113,1),(216,1),(461,1)}
        80:{2,4,7}:{(52,1),(56,1),(112,1),(116,1),(133,1)}
        81:{2,3,6}:{(52,1),(53,1),(57,1),(113,1),(116,1)}
        82:{2,5,6}:{(53,1),(54,1),(65,1),(101,1),(118,1),(315,1)}
        83:{1,4,6}:{(54,1),(55,1),(66,1),(102,1),(118,1),(122,1)}
        84:{3,4,6}:{(55,1),(60,1),(67,1),(103,1),(468,1)}
        85:{3,4,5,7}:{(56,1),(115,1),(120,1),(121,1),(189,1),(211,1),(226,1),(289,1),(327,1)}
        86:{3,4,6}:{(56,1),(57,1),(116,1),(121,1),(122,1)}
        87:{3,5,6}:{(57,1),(58,1),(105,1),(121,1),(122,1)}
        88:{2,4,5,6}:{(58,1),(59,1),(106,1),(118,1),(122,1),(123,1),(124,1),(193,1),(207,1),(214,1),(288,1),(297,1)}
        89:{1,3,5,6}:{(59,1),(60,1),(107,1),(119,1),(123,1),(124,1),(308,1),(382,1)}
        90:{2,3,7}:{(61,1),(125,1),(126,1),(409,1)}
        91:{1,3,4,7}:{(61,1),(63,1),(112,1),(125,1),(127,1),(128,1),(197,1),(322,1),(384,1),(409,1),(479,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(126,1),(129,1),(415,1)}
        93:{1,2,5}:{(62,1),(65,1),(129,1),(202,1),(217,1),(404,1)}
        94:{2,3,5,7}:{(63,1),(115,1),(127,1),(131,1),(132,1),(289,1),(383,1)}
        95:{2,3,4,6}:{(63,1),(64,1),(116,1),(128,1),(131,1),(132,1),(133,1),(208,1),(225,1),(309,1),(321,1),(410,1)}
        96:{2,3,5}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        97:{2,4,5}:{(65,1),(66,1),(118,1),(133,1),(134,1)}
        98:{1,3,4,5}:{(66,1),(67,1),(119,1),(134,1),(135,1),(213,1),(222,1),(228,1),(308,1),(316,1),(408,1)}
        99:{1,2,6,7}:{(68,1),(79,1),(136,1),(137,1),(149,1),(247,1),(267,1),(424,1),(490,1),(491,1),(527,1)}
       100:{2,3,6,7}:{(68,1),(71,1),(81,1),(136,1),(138,1),(139,1),(339,1),(424,1),(527,1),(528,1),(545,1)}
       101:{2,5,7}:{(68,1),(69,1),(82,1),(140,1),(342,1)}
       102:{1,4,7}:{(69,1),(70,1),(83,1),(140,1),(143,1)}
       103:{3,4,7}:{(70,1),(74,1),(84,1),(433,1)}
       104:{3,4,6,7}:{(71,1),(86,1),(138,1),(142,1),(143,1),(236,1),(240,1),(339,1),(545,1),(546,1),(551,1)}
       105:{3,5,7}:{(71,1),(72,1),(87,1),(143,1)}
       106:{2,4,5,7}:{(72,1),(73,1),(76,1),(88,1),(140,1),(143,1),(144,1),(145,1),(146,1),(242,1),(245,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(77,1),(89,1),(141,1),(144,1),(145,1)}
       108:{4,6,7}:{(75,1),(143,1),(146,1),(240,1)}
       109:{3,6,7}:{(76,1),(144,1),(339,1)}
       110:{2,6,7}:{(77,1),(145,1),(149,1),(424,1)}
       111:{2,3,5,7}:{(78,1),(90,1),(150,1),(151,1),(167,1),(169,1),(248,1),(251,1)}
       112:{1,4,7}:{(78,1),(80,1),(150,1),(153,1),(172,1)}
       113:{1,3,6}:{(78,1),(79,1),(81,1),(151,1),(153,1)}
       114:{1,2,5,6}:{(79,1),(82,1),(93,1),(137,1),(154,1),(155,1),(166,1),(266,1),(268,1),(358,1),(360,1),(424,1),(442,1),(443,1),(491,1),(501,1)}
       115:{2,4,5,7}:{(80,1),(85,1),(94,1),(152,1),(156,1),(157,1),(176,1),(258,1),(276,1)}
       116:{2,4,6}:{(80,1),(81,1),(86,1),(153,1),(157,1)}
       117:{2,3,5,6}:{(81,1),(82,1),(87,1),(96,1),(139,1),(154,1),(157,1),(158,1),(159,1),(234,1),(257,1),(260,1),(339,1),(358,1),(424,1),(501,1),(502,1),(528,1),(533,1),(544,1),(547,1)}
       118:{2,4,6}:{(82,1),(83,1),(97,1),(140,1),(159,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(89,1),(98,1),(141,1),(159,1),(160,1),(164,1),(262,1),(265,1),(365,1)}
       120:{3,4,6}:{(85,1),(156,1),(162,1),(240,1),(339,1)}
       121:{3,5}:{(86,1),(157,1),(163,1)}
       122:{4,6}:{(87,1),(143,1),(163,1)}
       123:{3,5,6}:{(88,1),(144,1),(159,1),(164,1),(260,1),(339,1)}
       124:{2,5,6}:{(89,1),(145,1),(160,1),(166,1),(358,1),(424,1)}
       125:{2,4,7}:{(90,1),(91,1),(167,1),(168,1),(504,1)}
       126:{2,3,6}:{(90,1),(92,1),(168,1),(169,1),(367,1),(450,1)}
       127:{1,3,5,7}:{(91,1),(94,1),(152,1),(167,1),(170,1),(171,1),(248,1),(425,1)}
       128:{1,3,4,6}:{(91,1),(92,1),(95,1),(153,1),(168,1),(170,1),(171,1),(172,1),(249,1),(270,1),(272,1),(359,1),(367,1),(369,1),(448,1)}
       129:{1,3,5}:{(92,1),(93,1),(96,1),(169,1),(172,1)}
       130:{1,2,4,5}:{(93,1),(97,1),(155,1),(172,1),(173,1),(179,1),(255,1),(269,1),(274,1),(279,1),(358,1),(364,1),(372,1),(373,1),(443,1),(449,1),(499,1),(503,1)}
       131:{2,3,6}:{(94,1),(156,1),(170,1),(339,1),(424,1)}
       132:{2,3,5}:{(95,1),(157,1),(171,1),(176,1),(260,1),(358,1)}
       133:{2,4}:{(96,1),(172,1),(177,1)}
       134:{3,5}:{(97,1),(159,1),(177,1)}
       135:{2,4,5}:{(98,1),(160,1),(178,1),(179,1),(274,1),(279,1),(358,1)}
       136:{1,3,6,7}:{(99,1),(100,1),(113,1),(180,1),(181,1),(182,1),(382,1),(461,1),(513,1)}
       137:{1,2,5,7}:{(99,1),(101,1),(114,1),(182,1),(183,1),(192,1),(296,1),(318,1),(383,1),(385,1),(476,1),(520,1)}
       138:{2,4,6,7}:{(100,1),(104,1),(116,1),(181,1),(184,1),(185,1),(288,1),(540,1)}
       139:{2,3,5,7}:{(100,1),(101,1),(105,1),(117,1),(182,1),(184,1),(185,1),(186,1),(286,1),(289,1),(383,1),(520,1),(542,1),(548,1)}
       140:{2,4,7}:{(101,1),(102,1),(118,1),(186,1)}
       141:{1,3,4,7}:{(102,1),(103,1),(107,1),(119,1),(186,1),(187,1),(190,1),(291,1),(295,1),(392,1)}
       142:{3,5,7}:{(104,1),(121,1),(184,1),(188,1),(189,1),(550,1)}
       143:{4,7}:{(105,1),(122,1)}
       144:{3,5,7}:{(106,1),(109,1),(123,1),(186,1),(190,1)}
       145:{2,5,7}:{(107,1),(110,1),(124,1),(187,1),(192,1)}
       146:{4,5,7}:{(108,1),(193,1),(194,1)}
       147:{3,4,6,7}:{(108,1),(109,1),(190,1),(194,1),(195,1),(293,1)}
       148:{2,3,6,7}:{(109,1),(110,1),(191,1),(195,1),(196,1),(387,1)}
       149:{1,6,7}:{(110,1),(192,1),(461,1)}
       150:{2,4,7}:{(111,1),(112,1),(197,1),(199,1),(218,1)}
       151:{2,3,6}:{(111,1),(113,1),(199,1),(216,1),(300,1)}
       152:{1,4,5,7}:{(112,1),(115,1),(127,1),(198,1),(201,1),(202,1),(221,1),(306,1),(322,1)}
       153:{1,4,6}:{(112,1),(113,1),(116,1),(199,1),(202,1)}
       154:{1,3,5,6}:{(113,1),(114,1),(117,1),(129,1),(182,1),(200,1),(202,1),(203,1),(204,1),(283,1),(308,1),(310,1),(382,1),(404,1),(461,1),(477,1),(513,1),(541,1)}
       155:{1,2,4,6}:{(114,1),(118,1),(130,1),(183,1),(203,1),(204,1),(210,1),(309,1),(315,1),(317,1),(319,1),(414,1),(480,1),(518,1)}
       156:{2,4,6}:{(115,1),(120,1),(131,1),(201,1),(206,1)}
       157:{2,5}:{(116,1),(121,1),(202,1)}
       158:{2,4,6}:{(117,1),(122,1),(133,1),(185,1),(203,1),(207,1),(208,1),(521,1),(549,1)}
       159:{3,6}:{(118,1),(134,1),(186,1)}
       160:{2,4,6}:{(119,1),(124,1),(135,1),(187,1),(209,1),(210,1),(315,1)}
       161:{3,4,6,7}:{(120,1),(205,1),(211,1),(292,1),(327,1),(386,1)}
       162:{3,5,6}:{(120,1),(121,1),(206,1),(211,1),(212,1)}
       163:{4,5}:{(121,1),(122,1)}
       164:{3,4,6}:{(122,1),(123,1),(190,1),(213,1),(214,1)}
       165:{2,3,5,6}:{(123,1),(124,1),(191,1),(209,1),(214,1),(215,1),(297,1),(313,1),(387,1)}
       166:{1,5,6}:{(124,1),(192,1),(210,1),(404,1),(461,1)}
       167:{2,5,7}:{(125,1),(127,1),(216,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(128,1),(216,1),(217,1),(218,1),(412,1),(480,1)}
       169:{2,3,5}:{(126,1),(129,1),(217,1),(218,1),(320,1)}
       170:{1,3,6}:{(127,1),(131,1),(201,1),(216,1),(300,1),(461,1)}
       171:{1,3,5}:{(128,1),(132,1),(202,1),(217,1),(221,1),(301,1),(320,1),(404,1)}
       172:{1,4}:{(129,1),(133,1),(218,1)}
       173:{1,3,5}:{(130,1),(134,1),(204,1),(222,1),(223,1),(320,1),(408,1),(415,1),(519,1)}
       174:{2,3,6,7}:{(131,1),(205,1),(219,1),(224,1),(386,1),(460,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(206,1),(220,1),(224,1),(225,1),(312,1),(403,1),(410,1)}
       176:{2,4,5}:{(132,1),(133,1),(221,1),(225,1),(226,1)}
       177:{3,4}:{(133,1),(134,1)}
       178:{2,3,5}:{(134,1),(135,1),(209,1),(227,1),(228,1),(408,1)}
       179:{1,4,5}:{(135,1),(210,1),(228,1),(325,1),(404,1)}
       180:{2,3,6,7}:{(136,1),(151,1),(229,1),(230,1),(247,1),(267,1),(348,1),(349,1),(420,1),(424,1),(493,1)}
       181:{1,4,6,7}:{(136,1),(138,1),(153,1),(229,1),(231,1),(232,1),(334,1),(530,1)}
       182:{1,3,5,7}:{(136,1),(137,1),(139,1),(154,1),(230,1),(231,1),(232,1),(233,1),(337,1),(425,1)}
       183:{1,2,4,7}:{(137,1),(140,1),(155,1),(232,1),(233,1),(238,1),(336,1),(342,1),(345,1),(366,1),(451,1),(504,1),(532,1)}
       184:{2,5,7}:{(138,1),(142,1),(157,1),(231,1),(234,1),(547,1)}
       185:{2,4,7}:{(139,1),(143,1),(158,1),(232,1),(236,1),(551,1)}
       186:{3,7}:{(140,1),(159,1)}
       187:{2,4,7}:{(141,1),(145,1),(160,1),(237,1),(238,1),(342,1)}
       188:{3,5,6}:{(142,1),(234,1),(240,1),(339,1)}
       189:{4,5,7}:{(142,1),(143,1),(163,1),(240,1),(551,1),(552,1)}
       190:{3,4,7}:{(143,1),(144,1),(164,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(148,1),(165,1),(237,1),(242,1),(243,1),(245,1)}
       192:{1,5,7}:{(145,1),(149,1),(166,1),(238,1)}
       193:{4,5,6}:{(146,1),(240,1),(244,1),(552,1)}
       194:{3,5,7}:{(146,1),(147,1),(244,1),(245,1)}
       195:{2,4,6,7}:{(147,1),(148,1),(242,1),(245,1),(246,1),(343,1)}
       196:{1,3,6,7}:{(148,1),(149,1),(243,1),(246,1),(247,1),(348,1),(427,1)}
       197:{3,4,7}:{(150,1),(248,1),(249,1),(270,1),(434,1)}
       198:{2,4,5,7}:{(150,1),(152,1),(167,1),(248,1),(250,1),(251,1),(269,1),(351,1),(352,1),(366,1),(434,1)}
       199:{2,4,6}:{(150,1),(151,1),(153,1),(249,1),(251,1)}
       200:{2,3,5,6}:{(151,1),(154,1),(169,1),(230,1),(251,1),(252,1),(257,1),(266,1),(268,1),(330,1),(350,1),(354,1),(358,1),(365,1),(367,1),(420,1),(424,1),(432,1),(445,1),(493,1),(531,1)}
       201:{1,4,6}:{(152,1),(156,1),(170,1),(250,1),(254,1)}
       202:{1,5}:{(153,1),(157,1),(251,1)}
       203:{1,4,6}:{(154,1),(158,1),(172,1),(232,1),(252,1),(255,1),(503,1)}
       204:{1,3,6}:{(155,1),(159,1),(173,1),(233,1),(257,1),(365,1),(367,1),(533,1)}
       205:{2,4,6,7}:{(156,1),(161,1),(174,1),(253,1),(258,1),(276,1)}
       206:{2,5,6}:{(156,1),(157,1),(162,1),(254,1),(258,1)}
       207:{2,4,5}:{(157,1),(158,1),(163,1),(255,1),(260,1),(358,1),(547,1),(552,1)}
       208:{3,4,6}:{(158,1),(159,1),(177,1),(236,1),(260,1),(339,1),(533,1),(534,1)}
       209:{2,3,6}:{(159,1),(160,1),(178,1),(237,1),(262,1),(365,1)}
       210:{1,4,6}:{(160,1),(166,1),(179,1),(238,1),(262,1)}
       211:{3,5,7}:{(161,1),(162,1),(258,1),(263,1)}
       212:{4,5,6}:{(162,1),(163,1),(240,1),(263,1)}
       213:{3,4,5}:{(163,1),(164,1),(260,1),(264,1),(534,1)}
       214:{2,4,6}:{(164,1),(165,1),(242,1),(264,1),(265,1)}
       215:{1,3,5,6}:{(165,1),(166,1),(243,1),(262,1),(265,1),(266,1),(346,1),(362,1),(365,1),(427,1),(432,1)}
       216:{2,6}:{(167,1),(170,1)}
       217:{2,5}:{(168,1),(171,1)}
       218:{2,4}:{(169,1),(172,1),(270,1)}
       219:{1,3,6,7}:{(170,1),(174,1),(253,1),(267,1),(271,1),(349,1),(490,1)}
       220:{1,3,5,6}:{(170,1),(171,1),(175,1),(254,1),(268,1),(271,1),(272,1),(350,1),(367,1),(442,1),(448,1)}
       221:{1,4,5}:{(171,1),(172,1),(176,1),(269,1),(272,1),(351,1)}
       222:{1,3,4}:{(172,1),(173,1),(177,1),(270,1),(274,1),(446,1),(503,1),(534,1)}
       223:{2,3,5}:{(173,1),(257,1),(274,1),(275,1),(279,1),(358,1),(374,1),(449,1),(450,1)}
       224:{2,3,5,7}:{(174,1),(175,1),(258,1),(271,1),(276,1),(361,1),(441,1),(447,1)}
       225:{2,4,6}:{(175,1),(176,1),(272,1),(276,1),(277,1)}
       226:{3,4,5}:{(176,1),(177,1),(260,1),(277,1),(552,1)}
       227:{2,3,4}:{(177,1),(178,1),(274,1),(278,1),(446,1),(450,1)}
       228:{1,3,5}:{(178,1),(179,1),(262,1),(278,1),(279,1)}
       229:{2,4,6,7}:{(180,1),(181,1),(199,1),(280,1),(281,1),(282,1),(378,1),(515,1)}
       230:{2,3,5,7}:{(180,1),(182,1),(200,1),(281,1),(282,1),(286,1),(296,1),(318,1),(379,1),(383,1),(392,1),(394,1),(395,1),(409,1)}
       231:{1,5,7}:{(181,1),(184,1),(202,1),(281,1),(283,1),(541,1)}
       232:{1,4,7}:{(182,1),(185,1),(203,1),(282,1)}
       233:{1,3,7}:{(183,1),(186,1),(204,1),(286,1),(392,1),(409,1),(542,1)}
       234:{2,5,6}:{(184,1),(188,1),(283,1),(288,1)}
       235:{2,4,5,7}:{(184,1),(185,1),(189,1),(207,1),(284,1),(288,1),(289,1),(383,1)}
       236:{3,4,7}:{(185,1),(186,1),(208,1),(289,1),(542,1)}
       237:{2,3,7}:{(186,1),(187,1),(209,1),(291,1),(392,1)}
       238:{1,4,7}:{(187,1),(192,1),(210,1),(291,1)}
       239:{3,5,6,7}:{(188,1),(211,1),(287,1),(292,1),(386,1),(548,1)}
       240:{4,6}:{(188,1),(189,1)}
       241:{3,4,5,7}:{(189,1),(190,1),(194,1),(213,1),(289,1),(293,1),(294,1),(539,1),(550,1)}
       242:{2,4,7}:{(190,1),(191,1),(214,1),(295,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(196,1),(215,1),(291,1),(295,1),(296,1),(298,1),(392,1),(394,1)}
       244:{3,5,6}:{(193,1),(194,1),(293,1),(297,1),(550,1)}
       245:{2,5,7}:{(194,1),(195,1),(297,1),(298,1)}
       246:{1,4,6,7}:{(195,1),(196,1),(295,1),(298,1),(299,1),(390,1)}
       247:{2,6,7}:{(196,1),(296,1),(464,1)}
       248:{3,5,7}:{(197,1),(198,1),(300,1),(301,1),(320,1),(409,1)}
       249:{3,4,6}:{(197,1),(199,1),(300,1),(301,1),(396,1)}
       250:{2,4,6}:{(198,1),(201,1),(216,1),(300,1),(303,1),(396,1)}
       251:{2,5}:{(199,1),(202,1),(301,1)}
       252:{2,4,6}:{(200,1),(203,1),(218,1),(282,1),(304,1),(305,1),(396,1),(468,1),(478,1)}
       253:{1,4,6,7}:{(201,1),(205,1),(219,1),(302,1),(306,1),(322,1)}
       254:{1,5,6}:{(201,1),(202,1),(206,1),(303,1),(306,1)}
       255:{1,4,5}:{(202,1),(203,1),(207,1),(304,1),(308,1),(404,1),(541,1)}
       256:{1,3,4,6}:{(203,1),(204,1),(208,1),(222,1),(285,1),(305,1),(308,1),(309,1),(382,1)}
       257:{2,3,6}:{(204,1),(223,1),(286,1),(309,1),(310,1),(315,1),(480,1)}
       258:{2,5,7}:{(205,1),(206,1),(211,1),(306,1)}
       259:{2,4,5,6}:{(206,1),(207,1),(212,1),(225,1),(288,1),(307,1),(311,1),(312,1),(403,1),(518,1),(536,1),(549,1)}
       260:{3,5}:{(207,1),(208,1)}
       261:{2,3,4,6}:{(208,1),(209,1),(214,1),(227,1),(290,1),(309,1),(313,1),(314,1),(387,1),(475,1),(521,1),(540,1)}
       262:{1,3,6}:{(209,1),(210,1),(228,1),(291,1),(315,1)}
       263:{4,5,7}:{(211,1),(212,1),(292,1)}
       264:{2,4,5}:{(213,1),(214,1),(313,1),(316,1),(521,1)}
       265:{1,4,6}:{(214,1),(215,1),(295,1),(316,1),(317,1),(468,1)}
       266:{2,5,6}:{(215,1),(296,1),(315,1),(317,1),(406,1),(464,1)}
       267:{2,6,7}:{(216,1),(219,1),(318,1)}
       268:{2,5,6}:{(216,1),(217,1),(220,1),(318,1),(319,1),(480,1)}
       269:{2,4,5}:{(217,1),(218,1),(221,1),(319,1),(320,1)}
       270:{3,4}:{(218,1),(320,1)}
       271:{1,3,5,7}:{(219,1),(220,1),(224,1),(306,1),(318,1),(322,1),(395,1),(409,1),(476,1),(479,1)}
       272:{1,4,6}:{(220,1),(221,1),(225,1),(319,1),(322,1),(396,1)}
       273:{1,3,4,5}:{(221,1),(222,1),(226,1),(308,1),(320,1),(323,1),(324,1),(397,1),(411,1),(471,1),(519,1)}
       274:{2,4}:{(222,1),(223,1),(325,1)}
       275:{1,3,5}:{(223,1),(310,1),(325,1),(326,1),(404,1),(415,1)}
       276:{2,4,7}:{(224,1),(225,1),(322,1),(327,1)}
       277:{3,4,6}:{(225,1),(226,1),(312,1),(327,1),(549,1)}
       278:{1,3,4}:{(227,1),(228,1),(325,1),(328,1),(415,1)}
       279:{2,5}:{(228,1),(315,1),(328,1)}
       280:{3,4,6,7}:{(229,1),(249,1),(329,1),(332,1),(348,1),(349,1),(417,1),(420,1),(433,1),(434,1),(495,1)}
       281:{2,5,7}:{(229,1),(231,1),(251,1),(329,1),(330,1),(531,1)}
       282:{2,4,7}:{(230,1),(232,1),(252,1),(332,1),(433,1),(434,1)}
       283:{1,5,6}:{(231,1),(234,1),(330,1),(334,1)}
       284:{1,4,5,7}:{(231,1),(232,1),(235,1),(255,1),(331,1),(334,1),(335,1),(425,1)}
       285:{1,3,4,7}:{(232,1),(233,1),(236,1),(256,1),(332,1),(335,1),(336,1)}
       286:{2,3,7}:{(233,1),(257,1),(336,1),(337,1),(342,1),(504,1)}
       287:{2,5,6,7}:{(234,1),(239,1),(258,1),(333,1),(338,1),(543,1)}
       288:{2,4,6}:{(234,1),(235,1),(240,1),(334,1),(339,1),(424,1)}
       289:{3,5,7}:{(235,1),(236,1),(260,1),(339,1)}
       290:{2,3,4,7}:{(236,1),(237,1),(242,1),(261,1),(336,1),(340,1),(341,1),(489,1),(529,1)}
       291:{1,3,7}:{(237,1),(238,1),(262,1),(342,1)}
       292:{4,6,7}:{(239,1),(240,1),(263,1),(551,1)}
       293:{3,4,6}:{(240,1),(241,1),(244,1),(339,1),(343,1)}
       294:{2,4,5,7}:{(241,1),(242,1),(245,1),(264,1),(340,1),(343,1),(344,1),(529,1),(547,1)}
       295:{1,4,7}:{(242,1),(243,1),(265,1),(345,1),(433,1)}
       296:{2,5,7}:{(243,1),(247,1),(266,1),(342,1),(345,1)}
       297:{2,5,6}:{(244,1),(245,1),(343,1),(346,1),(547,1)}
       298:{1,5,7}:{(245,1),(246,1),(346,1),(347,1)}
       299:{2,4,6,7}:{(246,1),(247,1),(345,1),(347,1),(348,1),(430,1),(433,1)}
       300:{3,6}:{(248,1),(250,1)}
       301:{3,5}:{(249,1),(251,1),(351,1)}
       302:{2,4,6,7}:{(250,1),(253,1),(267,1),(349,1),(352,1),(366,1),(434,1)}
       303:{2,5,6}:{(250,1),(251,1),(254,1),(350,1),(352,1)}
       304:{2,4,5}:{(251,1),(252,1),(255,1),(351,1),(354,1),(358,1),(496,1),(531,1)}
       305:{3,4,6}:{(252,1),(270,1),(332,1),(354,1),(365,1),(367,1),(420,1),(446,1)}
       306:{1,5,7}:{(253,1),(254,1),(258,1),(352,1)}
       307:{1,4,5,6}:{(254,1),(255,1),(259,1),(272,1),(334,1),(353,1),(356,1),(357,1),(442,1),(498,1),(523,1)}
       308:{1,3,5}:{(255,1),(256,1),(260,1),(354,1),(358,1)}
       309:{2,4,6}:{(256,1),(257,1),(274,1),(336,1),(358,1),(359,1),(424,1)}
       310:{1,3,6}:{(257,1),(275,1),(337,1),(359,1),(360,1)}
       311:{2,4,5,7}:{(258,1),(259,1),(263,1),(276,1),(338,1),(356,1),(361,1),(441,1),(532,1),(543,1),(551,1)}
       312:{3,5,6}:{(259,1),(260,1),(277,1),(339,1),(361,1),(533,1)}
       313:{2,3,5}:{(260,1),(261,1),(264,1),(358,1),(362,1),(547,1)}
       314:{1,3,4,6}:{(261,1),(262,1),(265,1),(278,1),(341,1),(359,1),(362,1),(363,1),(365,1),(427,1),(444,1),(446,1),(495,1),(503,1),(530,1)}
       315:{2,6}:{(262,1),(279,1),(342,1)}
       316:{1,4,5}:{(264,1),(265,1),(362,1),(364,1),(496,1),(503,1)}
       317:{2,4,6}:{(265,1),(266,1),(345,1),(364,1),(365,1)}
       318:{2,5,7}:{(267,1),(268,1),(271,1),(366,1),(504,1)}
       319:{2,4,6}:{(268,1),(269,1),(272,1),(366,1),(367,1)}
       320:{3,5}:{(269,1),(270,1),(367,1)}
       321:{2,3,4}:{(270,1),(274,1),(368,1),(369,1),(374,1),(534,1)}
       322:{1,4,7}:{(271,1),(272,1),(276,1),(366,1),(434,1)}
       323:{1,3,4,6}:{(272,1),(273,1),(277,1),(357,1),(367,1),(370,1),(371,1),(435,1),(448,1),(498,1),(533,1)}
       324:{2,4,5}:{(273,1),(274,1),(358,1),(368,1),(371,1),(372,1),(449,1)}
       325:{1,4}:{(274,1),(275,1)}
       326:{1,2,5}:{(275,1),(279,1),(360,1),(373,1),(449,1)}
       327:{3,4,7}:{(276,1),(277,1),(361,1),(551,1)}
       328:{2,4}:{(278,1),(279,1),(374,1)}
       329:{3,5,7}:{(280,1),(281,1),(301,1),(375,1),(376,1),(516,1)}
       330:{2,5,6}:{(281,1),(283,1),(375,1),(378,1)}
       331:{2,4,5,7}:{(281,1),(282,1),(284,1),(304,1),(376,1),(378,1),(379,1),(383,1)}
       332:{3,4,7}:{(282,1),(305,1),(379,1),(392,1),(409,1)}
       333:{1,5,6,7}:{(283,1),(287,1),(306,1),(377,1),(381,1),(535,1)}
       334:{1,4,6}:{(283,1),(284,1),(288,1),(378,1),(382,1),(461,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(289,1),(308,1),(379,1),(382,1),(383,1)}
       336:{2,4,7}:{(285,1),(286,1),(309,1),(383,1),(384,1)}
       337:{1,3,7}:{(286,1),(310,1),(384,1),(385,1)}
       338:{2,4,6,7}:{(287,1),(288,1),(292,1),(311,1),(381,1),(386,1),(460,1)}
       339:{3,6}:{(288,1),(289,1)}
       340:{2,3,5,7}:{(289,1),(290,1),(294,1),(313,1),(383,1),(387,1),(388,1)}
       341:{1,3,4,7}:{(290,1),(291,1),(295,1),(314,1),(384,1),(388,1),(389,1),(392,1),(463,1),(467,1),(514,1)}
       342:{2,7}:{(291,1),(315,1)}
       343:{2,4,6}:{(293,1),(294,1),(297,1),(387,1),(390,1)}
       344:{1,4,5,7}:{(294,1),(295,1),(298,1),(316,1),(388,1),(390,1),(391,1),(514,1),(541,1)}
       345:{2,4,7}:{(295,1),(296,1),(317,1),(392,1)}
       346:{1,5,6}:{(297,1),(298,1),(390,1),(393,1),(541,1)}
       347:{2,5,7}:{(298,1),(299,1),(393,1),(394,1)}
       348:{3,6,7}:{(299,1),(392,1),(394,1),(466,1)}
       349:{3,6,7}:{(300,1),(302,1),(395,1),(409,1)}
       350:{3,5,6}:{(300,1),(301,1),(303,1),(395,1),(396,1)}
       351:{4,5}:{(301,1),(396,1)}
       352:{2,5,7}:{(302,1),(303,1),(306,1),(395,1)}
       353:{2,4,5,6}:{(303,1),(304,1),(307,1),(319,1),(378,1),(396,1),(398,1),(399,1),(403,1),(452,1),(470,1),(506,1)}
       354:{3,5}:{(304,1),(305,1)}
       355:{2,3,4,6}:{(305,1),(309,1),(321,1),(380,1),(400,1),(401,1),(407,1),(410,1),(457,1),(470,1),(478,1),(515,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(311,1),(322,1),(381,1),(398,1),(402,1),(476,1),(517,1),(535,1)}
       357:{1,3,5,6}:{(307,1),(308,1),(312,1),(323,1),(382,1),(399,1),(402,1),(403,1)}
       358:{2,5}:{(308,1),(309,1),(404,1)}
       359:{1,4,6}:{(309,1),(310,1),(325,1),(384,1),(404,1),(461,1)}
       360:{1,2,6}:{(310,1),(315,1),(326,1),(385,1),(480,1)}
       361:{3,5,7}:{(311,1),(312,1),(327,1),(386,1),(542,1)}
       362:{1,3,5}:{(313,1),(314,1),(316,1),(404,1),(406,1),(408,1),(516,1),(541,1)}
       363:{2,4,6}:{(314,1),(315,1),(328,1),(389,1),(406,1),(407,1),(464,1),(478,1)}
       364:{2,4,5}:{(316,1),(317,1),(406,1),(408,1),(478,1)}
       365:{3,6}:{(317,1),(392,1),(408,1)}
       366:{2,4,7}:{(318,1),(319,1),(322,1),(409,1)}
       367:{3,6}:{(319,1),(320,1),(409,1)}
       368:{2,3,5}:{(320,1),(321,1),(324,1),(410,1),(411,1),(519,1)}
       369:{1,3,4}:{(321,1),(325,1),(411,1),(412,1),(415,1)}
       370:{1,3,4,7}:{(322,1),(323,1),(327,1),(402,1),(409,1),(413,1),(469,1),(479,1),(517,1),(542,1)}
       371:{2,4,6}:{(323,1),(324,1),(403,1),(410,1),(413,1),(414,1),(480,1)}
       372:{1,4,5}:{(324,1),(325,1),(404,1),(411,1),(414,1)}
       373:{1,2,4}:{(325,1),(326,1),(328,1),(412,1),(415,1)}
       374:{2,3}:{(328,1),(415,1)}
       375:{3,5,6}:{(329,1),(330,1),(417,1),(420,1)}
       376:{4,5,7}:{(329,1),(351,1),(417,1),(433,1),(434,1),(496,1)}
       377:{2,5,6,7}:{(330,1),(333,1),(352,1),(416,1),(419,1),(522,1)}
       378:{2,4,6}:{(330,1),(331,1),(334,1),(417,1),(420,1),(424,1)}
       379:{3,5,7}:{(331,1),(332,1),(354,1),(420,1)}
       380:{2,3,4,7}:{(332,1),(336,1),(355,1),(421,1),(422,1),(429,1),(447,1),(494,1),(497,1)}
       381:{1,4,6,7}:{(333,1),(334,1),(338,1),(356,1),(419,1),(423,1),(490,1)}
       382:{1,3,6}:{(334,1),(335,1),(339,1),(420,1),(424,1)}
       383:{2,5,7}:{(335,1),(336,1),(358,1),(424,1),(425,1)}
       384:{1,4,7}:{(336,1),(337,1),(359,1),(425,1)}
       385:{1,2,7}:{(337,1),(342,1),(360,1),(504,1)}
       386:{3,6,7}:{(338,1),(339,1),(361,1)}
       387:{2,3,6}:{(339,1),(340,1),(343,1),(424,1),(427,1)}
       388:{1,3,5,7}:{(340,1),(341,1),(344,1),(362,1),(425,1),(427,1),(428,1),(431,1)}
       389:{2,4,7}:{(341,1),(342,1),(363,1),(428,1),(429,1)}
       390:{1,4,6}:{(343,1),(344,1),(346,1),(427,1),(430,1)}
       391:{2,4,5,7}:{(344,1),(345,1),(347,1),(364,1),(428,1),(430,1),(431,1),(433,1),(494,1),(496,1),(531,1)}
       392:{3,7}:{(345,1),(365,1)}
       393:{2,5,6}:{(346,1),(347,1),(430,1),(432,1),(531,1)}
       394:{3,5,7}:{(347,1),(348,1),(432,1),(433,1)}
       395:{3,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{4,6}:{(350,1),(351,1),(434,1)}
       397:{3,4,5}:{(351,1),(354,1),(435,1),(436,1),(446,1)}
       398:{2,4,5,7}:{(352,1),(353,1),(356,1),(366,1),(419,1),(434,1),(437,1),(441,1),(481,1),(497,1),(522,1)}
       399:{3,5,6}:{(353,1),(354,1),(367,1),(420,1),(435,1),(437,1)}
       400:{2,3,5}:{(354,1),(355,1),(358,1),(436,1),(439,1),(531,1)}
       401:{1,3,4,6}:{(355,1),(359,1),(369,1),(422,1),(439,1),(440,1),(444,1),(448,1),(487,1),(498,1),(503,1),(530,1),(533,1),(534,1),(546,1)}
       402:{1,3,5,7}:{(356,1),(357,1),(361,1),(370,1),(423,1),(437,1),(441,1)}
       403:{2,5,6}:{(357,1),(358,1),(371,1),(424,1),(441,1),(442,1)}
       404:{1,5}:{(358,1),(359,1)}
       405:{1,2,4,6}:{(359,1),(360,1),(363,1),(373,1),(426,1),(440,1),(443,1),(444,1),(491,1),(503,1),(530,1)}
       406:{2,5}:{(362,1),(363,1)}
       407:{2,3,6}:{(363,1),(365,1),(374,1),(429,1),(444,1),(445,1)}
       408:{3,5}:{(364,1),(365,1),(446,1)}
       409:{3,7}:{(366,1),(367,1)}
       410:{2,3,6}:{(367,1),(368,1),(371,1),(447,1),(448,1),(533,1)}
       411:{1,3,5}:{(368,1),(369,1),(372,1),(448,1),(449,1)}
       412:{2,4}:{(369,1),(449,1),(450,1)}
       413:{2,4,7}:{(370,1),(371,1),(441,1),(447,1),(451,1),(504,1)}
       414:{1,4,6}:{(371,1),(372,1),(442,1),(448,1),(451,1)}
       415:{1,3}:{(373,1),(374,1),(450,1)}
       416:{3,5,6,7}:{(375,1),(377,1),(395,1),(453,1),(456,1),(505,1)}
       417:{4,6}:{(375,1),(376,1)}
       418:{3,4,5,7}:{(376,1),(379,1),(397,1),(454,1),(455,1),(467,1),(469,1),(505,1),(516,1)}
       419:{2,4,6,7}:{(377,1),(378,1),(381,1),(398,1),(453,1),(456,1),(460,1)}
       420:{3,6}:{(378,1),(379,1)}
       421:{2,3,5,7}:{(379,1),(380,1),(383,1),(400,1),(455,1),(457,1),(458,1)}
       422:{1,3,4,7}:{(380,1),(384,1),(401,1),(458,1),(459,1),(463,1),(479,1),(514,1),(517,1),(539,1),(542,1)}
       423:{1,3,6,7}:{(381,1),(382,1),(386,1),(402,1),(456,1),(460,1)}
       424:{2,6}:{(382,1),(383,1),(461,1)}
       425:{1,5,7}:{(383,1),(384,1),(404,1),(461,1)}
       426:{1,2,4,7}:{(384,1),(385,1),(389,1),(405,1),(459,1),(462,1),(463,1),(514,1)}
       427:{1,3,6}:{(387,1),(388,1),(390,1),(461,1),(464,1),(466,1)}
       428:{2,5,7}:{(388,1),(389,1),(406,1),(464,1)}
       429:{2,3,7}:{(389,1),(392,1),(407,1),(463,1)}
       430:{2,4,6}:{(390,1),(391,1),(393,1),(464,1),(466,1),(468,1)}
       431:{3,5,7}:{(391,1),(392,1),(408,1),(466,1),(467,1),(516,1)}
       432:{3,5,6}:{(393,1),(394,1),(466,1),(468,1),(516,1)}
       433:{4,7}:{(394,1),(468,1)}
       434:{4,7}:{(395,1),(396,1)}
       435:{3,4,6}:{(396,1),(397,1),(399,1),(469,1),(470,1)}
       436:{2,4,5}:{(397,1),(400,1),(470,1),(471,1),(478,1)}
       437:{3,5,7}:{(398,1),(399,1),(409,1),(456,1),(469,1)}
       438:{2,3,5,6}:{(399,1),(400,1),(403,1),(410,1),(457,1),(470,1),(472,1),(473,1),(506,1)}
       439:{1,3,5}:{(400,1),(401,1),(404,1),(471,1),(474,1),(519,1),(541,1),(550,1)}
       440:{2,4,6}:{(401,1),(412,1),(459,1),(474,1),(475,1),(480,1),(511,1),(521,1)}
       441:{2,5,7}:{(402,1),(403,1),(413,1),(460,1),(476,1)}
       442:{1,5,6}:{(403,1),(404,1),(414,1),(461,1),(476,1)}
       443:{1,2,5}:{(404,1),(405,1),(406,1),(474,1),(477,1),(541,1)}
       444:{1,3,6}:{(405,1),(407,1),(415,1),(463,1),(475,1),(477,1)}
       445:{2,3,5}:{(406,1),(407,1),(408,1),(477,1),(478,1)}
       446:{3,4}:{(408,1),(478,1)}
       447:{2,3,7}:{(409,1),(410,1),(413,1),(479,1),(542,1)}
       448:{1,3,6}:{(410,1),(411,1),(414,1),(479,1),(480,1)}
       449:{2,5}:{(411,1),(412,1),(480,1)}
       450:{2,3}:{(412,1),(415,1)}
       451:{1,4,7}:{(413,1),(414,1),(476,1),(479,1)}
       452:{4,5,6}:{(417,1),(481,1),(482,1),(496,1)}
       453:{4,6,7}:{(416,1),(417,1),(434,1),(481,1)}
       454:{3,4,6}:{(417,1),(418,1),(420,1),(482,1),(484,1)}
       455:{2,4,5,7}:{(418,1),(421,1),(436,1),(484,1),(485,1),(494,1),(497,1),(522,1),(531,1)}
       456:{3,6,7}:{(419,1),(420,1),(437,1)}
       457:{2,3,6}:{(420,1),(421,1),(424,1),(484,1),(487,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(425,1),(439,1),(485,1),(487,1),(488,1),(526,1)}
       459:{2,4,7}:{(422,1),(440,1),(488,1),(489,1),(504,1)}
       460:{2,6,7}:{(423,1),(424,1),(441,1),(490,1)}
       461:{1,6}:{(424,1),(425,1)}
       462:{1,2,5,7}:{(425,1),(426,1),(428,1),(443,1),(488,1),(491,1),(492,1)}
       463:{1,3,7}:{(426,1),(429,1),(444,1),(489,1)}
       464:{2,6}:{(427,1),(428,1)}
       465:{2,3,5,7}:{(428,1),(429,1),(431,1),(445,1),(492,1),(493,1),(494,1),(531,1)}
       466:{3,6}:{(430,1),(431,1)}
       467:{3,4,7}:{(431,1),(433,1),(446,1),(494,1),(495,1)}
       468:{4,6}:{(432,1),(433,1),(496,1)}
       469:{3,4,7}:{(434,1),(435,1),(437,1),(497,1)}
       470:{2,4,6}:{(435,1),(436,1),(438,1),(497,1),(498,1)}
       471:{1,4,5}:{(436,1),(439,1),(498,1),(499,1),(503,1),(552,1)}
       472:{2,3,5,7}:{(437,1),(438,1),(441,1),(447,1),(486,1),(497,1),(500,1),(522,1)}
       473:{1,3,5,6}:{(438,1),(439,1),(442,1),(448,1),(487,1),(498,1),(500,1),(501,1),(523,1),(533,1),(544,1)}
       474:{2,5}:{(439,1),(440,1)}
       475:{2,3,6}:{(440,1),(444,1),(450,1),(489,1),(502,1),(533,1)}
       476:{1,5,7}:{(441,1),(442,1),(451,1),(490,1)}
       477:{1,3,5}:{(443,1),(444,1),(445,1),(502,1),(503,1)}
       478:{2,4}:{(445,1),(446,1),(503,1)}
       479:{1,3,7}:{(447,1),(448,1),(451,1),(504,1)}
       480:{2,6}:{(448,1),(449,1),(504,1)}
       481:{4,5,7}:{(452,1),(453,1),(505,1)}
       482:{3,5,6}:{(452,1),(454,1),(505,1),(506,1),(516,1)}
       483:{3,4,6,7}:{(453,1),(454,1),(456,1),(469,1),(505,1),(507,1)}
       484:{2,4,6}:{(454,1),(455,1),(457,1),(506,1),(508,1)}
       485:{1,4,5,7}:{(455,1),(458,1),(471,1),(508,1),(509,1),(514,1),(517,1),(535,1),(541,1)}
       486:{2,3,6,7}:{(456,1),(457,1),(460,1),(472,1),(507,1),(510,1)}
       487:{1,3,6}:{(457,1),(458,1),(461,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(458,1),(459,1),(474,1),(511,1)}
       489:{2,3,7}:{(459,1),(463,1),(475,1),(542,1)}
       490:{1,6,7}:{(460,1),(461,1),(476,1)}
       491:{1,2,6}:{(461,1),(462,1),(464,1),(511,1),(513,1)}
       492:{1,3,5,7}:{(462,1),(463,1),(465,1),(477,1),(512,1),(513,1),(514,1),(541,1)}
       493:{2,3,6}:{(464,1),(465,1),(466,1),(513,1),(515,1)}
       494:{2,4,7}:{(465,1),(467,1),(478,1),(514,1),(515,1)}
       495:{3,4,6}:{(466,1),(467,1),(468,1),(515,1),(516,1)}
       496:{4,5}:{(468,1),(516,1)}
       497:{2,4,7}:{(469,1),(470,1),(472,1),(517,1)}
       498:{1,4,6}:{(470,1),(471,1),(473,1),(517,1),(518,1),(549,1)}
       499:{2,4,5}:{(471,1),(474,1),(518,1),(519,1),(521,1)}
       500:{1,3,5,7}:{(472,1),(473,1),(476,1),(479,1),(510,1),(517,1),(520,1),(535,1),(542,1),(548,1)}
       501:{2,5,6}:{(473,1),(474,1),(480,1),(511,1),(518,1),(520,1)}
       502:{2,3,5}:{(474,1),(475,1),(477,1),(519,1),(521,1)}
       503:{1,4}:{(477,1),(478,1),(521,1)}
       504:{2,7}:{(479,1),(480,1)}
       505:{3,5,7}:{(481,1),(482,1),(483,1),(522,1)}
       506:{2,5,6}:{(482,1),(484,1),(522,1),(523,1),(531,1)}
       507:{2,4,6,7}:{(483,1),(484,1),(486,1),(497,1),(522,1),(524,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(523,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(488,1),(499,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       510:{1,3,6,7}:{(486,1),(487,1),(490,1),(500,1),(524,1),(527,1),(545,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(492,1),(502,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,3,6}:{(491,1),(492,1),(493,1),(528,1),(530,1)}
       514:{1,4,7}:{(492,1),(494,1),(503,1),(529,1),(530,1)}
       515:{2,4,6}:{(493,1),(494,1),(495,1),(530,1),(531,1)}
       516:{3,5}:{(495,1),(496,1),(531,1)}
       517:{1,4,7}:{(497,1),(498,1),(500,1),(532,1),(551,1)}
       518:{2,4,6}:{(498,1),(499,1),(501,1),(532,1),(533,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,5,7}:{(500,1),(501,1),(504,1),(527,1),(532,1)}
       521:{2,4}:{(502,1),(503,1),(534,1)}
       522:{2,5,7}:{(505,1),(506,1),(507,1),(535,1)}
       523:{1,5,6}:{(506,1),(508,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(507,1),(508,1),(510,1),(517,1),(535,1),(537,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(509,1),(519,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(510,1),(511,1),(520,1)}
       528:{2,3,6}:{(511,1),(512,1),(513,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(514,1),(521,1),(539,1),(540,1)}
       530:{1,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(516,1),(541,1)}
       532:{2,4,7}:{(517,1),(518,1),(520,1),(542,1)}
       533:{3,6}:{(518,1),(519,1),(542,1)}
       534:{3,4}:{(519,1),(521,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

1102 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1103 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1104 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1105 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

1106 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1107 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1108 :   0:{1,2,6,7}:{(4,1),(6,1),(162,1),(248,1),(251,1),(262,1),(313,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(82,1),(86,1),(161,1),(162,1),(164,1),(177,1),(235,1),(251,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(95,1),(162,1),(313,1),(316,1),(367,1)}
         3:{2,3,5,6}:{(5,1),(9,1),(10,1),(33,1),(36,1),(38,1),(82,1),(95,1),(162,1),(235,1),(238,1),(308,1),(316,1),(370,1),(374,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(14,1),(15,1),(119,1),(207,1),(292,1)}
         5:{1,3,5,6}:{(1,1),(3,1),(12,1),(15,1),(16,1),(18,1),(49,1),(51,1),(55,1),(119,1),(121,1),(207,1),(209,1),(292,1),(358,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(15,1),(17,1),(120,1),(124,1),(205,1),(220,1),(276,1)}
         7:{1,2,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(53,1),(201,1),(214,1),(270,1),(284,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(22,1),(62,1),(348,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(15,1),(20,1),(22,1),(54,1),(63,1),(120,1),(276,1),(340,1),(387,1)}
        10:{2,4,6}:{(3,1),(16,1),(21,1),(22,1),(23,1),(280,1),(390,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(148,1),(162,1),(262,1),(265,1),(330,1)}
        12:{2,3,5,6}:{(5,1),(25,1),(26,1),(33,1),(69,1),(71,1),(82,1),(148,1),(162,1),(177,1),(180,1),(257,1),(265,1),(333,1),(337,1)}
        13:{1,2,4,5}:{(7,1),(27,1),(29,1),(75,1),(82,1),(157,1),(164,1),(174,1),(232,1),(240,1),(243,1),(253,1)}
        14:{1,4,6,7}:{(4,1),(8,1),(24,1),(28,1),(30,1),(80,1),(328,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(28,1),(30,1),(32,1),(85,1),(163,1)}
        16:{1,4,6}:{(5,1),(10,1),(26,1),(29,1),(30,1),(253,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(30,1),(32,1),(83,1),(245,1),(256,1),(307,1),(320,1)}
        18:{1,3,6}:{(7,1),(27,1),(32,1),(33,1),(257,1),(308,1)}
        19:{3,4,6,7}:{(8,1),(34,1),(39,1),(89,1),(95,1),(367,1),(371,1),(401,1)}
        20:{2,5,7}:{(8,1),(28,1),(34,1),(36,1),(374,1)}
        21:{2,4,5}:{(10,1),(29,1),(38,1),(82,1),(374,1),(404,1)}
        22:{2,4,7}:{(9,1),(10,1),(30,1),(39,1),(401,1)}
        23:{3,4,6}:{(10,1),(38,1),(39,1),(95,1),(308,1),(312,1)}
        24:{2,4,6,7}:{(11,1),(14,1),(41,1),(42,1),(44,1),(106,1),(304,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(15,1),(42,1),(44,1),(54,1),(107,1),(120,1),(220,1),(296,1),(359,1)}
        26:{2,4,6}:{(12,1),(16,1),(43,1),(44,1),(45,1),(224,1),(362,1)}
        27:{1,3,5}:{(13,1),(18,1),(46,1),(47,1),(218,1),(274,1),(282,1)}
        28:{1,5,7}:{(14,1),(20,1),(42,1),(49,1),(358,1)}
        29:{1,4,5}:{(16,1),(21,1),(43,1),(51,1),(121,1),(358,1)}
        30:{1,4,7}:{(15,1),(16,1),(22,1),(44,1)}
        31:{1,3,4,6}:{(16,1),(18,1),(23,1),(45,1),(46,1),(51,1),(52,1),(53,1),(119,1)}
        32:{1,3,7}:{(17,1),(18,1),(54,1),(296,1),(340,1)}
        33:{2,3,6}:{(18,1),(47,1),(53,1),(54,1),(55,1),(284,1)}
        34:{3,5,7}:{(19,1),(20,1),(56,1),(57,1),(391,1)}
        35:{2,4,5,6}:{(21,1),(48,1),(60,1),(61,1),(62,1),(118,1),(127,1),(128,1),(215,1),(270,1),(342,1),(347,1),(390,1),(393,1)}
        36:{2,5,6}:{(20,1),(49,1),(56,1),(62,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(50,1),(57,1),(62,1),(63,1),(120,1)}
        38:{3,5}:{(21,1),(23,1)}
        39:{3,4,7}:{(22,1),(23,1),(63,1),(340,1)}
        40:{2,3,4,6}:{(23,1),(53,1),(64,1),(65,1),(66,1),(111,1),(127,1),(135,1),(196,1),(197,1),(280,1),(341,1),(348,1),(353,1)}
        41:{3,4,6,7}:{(24,1),(67,1),(72,1),(142,1),(148,1),(330,1),(334,1),(382,1)}
        42:{2,5,7}:{(24,1),(28,1),(67,1),(69,1),(337,1)}
        43:{2,4,5}:{(26,1),(29,1),(71,1),(82,1),(337,1),(385,1)}
        44:{2,4,7}:{(25,1),(26,1),(30,1),(72,1),(382,1)}
        45:{3,4,6}:{(26,1),(71,1),(72,1),(148,1),(257,1),(261,1)}
        46:{1,3,4}:{(27,1),(75,1),(253,1),(261,1),(312,1)}
        47:{2,3,5}:{(27,1),(33,1),(75,1),(76,1),(82,1),(243,1),(244,1)}
        48:{1,4,5,6}:{(29,1),(35,1),(68,1),(78,1),(79,1),(80,1),(161,1),(170,1),(228,1),(258,1),(309,1),(327,1),(381,1)}
        49:{1,5,6}:{(28,1),(36,1),(69,1),(80,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(30,1),(37,1),(70,1),(80,1),(81,1),(163,1)}
        51:{1,3,5}:{(29,1),(31,1),(38,1),(71,1),(82,1)}
        52:{1,3,4,7}:{(30,1),(31,1),(32,1),(39,1),(72,1),(81,1),(83,1)}
        53:{2,4,6}:{(31,1),(33,1),(75,1),(82,1),(83,1),(84,1),(162,1)}
        54:{2,3,7}:{(32,1),(33,1),(83,1),(85,1),(320,1)}
        55:{1,3,6}:{(33,1),(76,1),(84,1),(85,1),(86,1)}
        56:{3,5,6}:{(34,1),(36,1),(89,1),(95,1)}
        57:{4,5,7}:{(34,1),(89,1),(401,1),(404,1)}
        58:{3,4,5}:{(38,1),(88,1),(91,1),(312,1),(369,1),(404,1)}
        59:{2,5,6,7}:{(36,1),(77,1),(87,1),(92,1),(254,1),(366,1),(405,1)}
        60:{2,4,5,7}:{(35,1),(78,1),(92,1),(93,1),(160,1),(167,1),(169,1),(254,1),(307,1),(366,1),(401,1)}
        61:{3,5,6}:{(35,1),(38,1),(88,1),(93,1),(95,1),(308,1),(369,1),(403,1)}
        62:{2,4,6}:{(36,1),(37,1),(80,1),(89,1),(95,1),(162,1)}
        63:{3,5,7}:{(37,1),(38,1),(39,1),(95,1)}
        64:{2,3,5}:{(38,1),(40,1),(82,1),(91,1),(97,1),(369,1),(374,1),(378,1)}
        65:{2,3,4,7}:{(39,1),(40,1),(83,1),(96,1),(98,1),(169,1),(239,1),(241,1),(317,1),(368,1),(377,1)}
        66:{1,3,4,6}:{(40,1),(84,1),(97,1),(98,1),(99,1),(154,1),(166,1),(170,1),(178,1),(242,1),(253,1),(257,1),(261,1),(328,1),(334,1),(376,1)}
        67:{3,5,7}:{(41,1),(42,1),(100,1),(101,1),(363,1)}
        68:{2,4,5,6}:{(43,1),(48,1),(104,1),(105,1),(106,1),(118,1),(184,1),(185,1),(214,1),(271,1),(298,1),(303,1),(362,1),(365,1)}
        69:{2,5,6}:{(42,1),(49,1),(100,1),(106,1)}
        70:{2,4,5,7}:{(42,1),(43,1),(44,1),(50,1),(101,1),(106,1),(107,1),(120,1)}
        71:{3,5}:{(43,1),(45,1)}
        72:{3,4,7}:{(44,1),(45,1),(107,1),(296,1)}
        73:{2,3,4,6}:{(45,1),(53,1),(108,1),(109,1),(110,1),(111,1),(139,1),(184,1),(192,1),(197,1),(224,1),(297,1),(304,1),(353,1)}
        74:{1,3,4,5}:{(46,1),(51,1),(58,1),(102,1),(112,1),(113,1),(131,1),(188,1),(198,1),(218,1),(274,1),(288,1),(355,1)}
        75:{2,4}:{(46,1),(47,1),(114,1)}
        76:{1,3,5}:{(47,1),(55,1),(114,1),(115,1),(121,1),(203,1)}
        77:{1,5,6,7}:{(49,1),(59,1),(103,1),(116,1),(294,1),(338,1),(398,1)}
        78:{1,4,5,7}:{(48,1),(60,1),(104,1),(116,1),(117,1),(205,1),(213,1),(269,1),(294,1),(338,1)}
        79:{1,3,5,6}:{(48,1),(51,1),(61,1),(105,1),(112,1),(117,1),(118,1),(119,1),(355,1),(397,1)}
        80:{1,4,6}:{(49,1),(50,1),(62,1),(106,1),(119,1),(207,1)}
        81:{1,3,5,7}:{(50,1),(51,1),(52,1),(63,1),(107,1),(119,1),(120,1)}
        82:{2,5}:{(51,1),(53,1),(121,1)}
        83:{2,4,7}:{(52,1),(53,1),(54,1),(120,1),(122,1)}
        84:{1,4,6}:{(53,1),(55,1),(114,1),(121,1),(122,1),(207,1)}
        85:{1,3,7}:{(54,1),(55,1),(122,1),(124,1)}
        86:{1,2,6}:{(55,1),(115,1),(124,1),(284,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(125,1),(132,1),(211,1),(387,1),(410,1)}
        88:{3,4,6}:{(58,1),(61,1),(126,1),(127,1),(390,1)}
        89:{4,6}:{(56,1),(57,1)}
        90:{3,4,5,7}:{(57,1),(58,1),(63,1),(126,1),(129,1),(130,1),(211,1),(344,1),(389,1),(391,1),(409,1)}
        91:{2,4,5}:{(58,1),(64,1),(127,1),(131,1),(280,1)}
        92:{2,4,6,7}:{(59,1),(60,1),(62,1),(116,1),(125,1),(132,1),(204,1),(393,1)}
        93:{3,5,7}:{(60,1),(61,1),(126,1),(132,1),(340,1)}
        94:{2,3,5,6}:{(61,1),(64,1),(118,1),(127,1),(133,1),(134,1),(135,1),(197,1),(215,1)}
        95:{3,6}:{(62,1),(63,1)}
        96:{2,3,5,7}:{(63,1),(64,1),(65,1),(120,1),(130,1),(135,1),(136,1),(389,1),(396,1)}
        97:{1,3,5}:{(64,1),(66,1),(121,1),(131,1),(137,1),(218,1),(358,1),(363,1),(395,1)}
        98:{1,3,4,7}:{(65,1),(66,1),(122,1),(136,1),(138,1),(210,1),(213,1),(283,1),(293,1),(296,1),(300,1),(394,1)}
        99:{2,4,6}:{(66,1),(137,1),(138,1),(139,1),(199,1),(222,1),(224,1),(284,1)}
       100:{3,5,6}:{(67,1),(69,1),(142,1),(148,1)}
       101:{4,5,7}:{(67,1),(142,1),(382,1),(385,1)}
       102:{3,4,5}:{(71,1),(141,1),(144,1),(261,1),(332,1),(385,1)}
       103:{2,5,6,7}:{(69,1),(77,1),(140,1),(145,1),(305,1),(329,1),(386,1)}
       104:{2,4,5,7}:{(68,1),(78,1),(145,1),(146,1),(160,1),(225,1),(227,1),(256,1),(305,1),(329,1),(382,1)}
       105:{3,5,6}:{(68,1),(71,1),(141,1),(146,1),(148,1),(257,1),(332,1),(384,1)}
       106:{2,4,6}:{(69,1),(70,1),(80,1),(142,1),(148,1),(162,1)}
       107:{3,5,7}:{(70,1),(71,1),(72,1),(148,1)}
       108:{2,3,5}:{(71,1),(73,1),(82,1),(144,1),(150,1),(332,1),(337,1),(378,1)}
       109:{2,3,4,7}:{(72,1),(73,1),(83,1),(149,1),(151,1),(181,1),(227,1),(241,1),(266,1),(331,1),(377,1)}
       110:{1,3,4,6}:{(73,1),(84,1),(150,1),(151,1),(152,1),(154,1),(166,1),(228,1),(236,1),(242,1),(253,1),(308,1),(312,1),(328,1),(371,1),(376,1)}
       111:{2,3,4}:{(75,1),(153,1),(154,1),(244,1),(261,1),(312,1),(322,1)}
       112:{1,3,4,6}:{(74,1),(79,1),(88,1),(141,1),(155,1),(156,1),(170,1),(228,1),(242,1),(257,1),(308,1)}
       113:{2,4,5}:{(74,1),(75,1),(82,1),(153,1),(156,1),(157,1),(243,1),(322,1),(378,1)}
       114:{1,4}:{(75,1),(76,1)}
       115:{1,2,5}:{(76,1),(86,1),(158,1),(243,1)}
       116:{1,4,6,7}:{(77,1),(78,1),(80,1),(92,1),(145,1),(159,1),(248,1),(381,1)}
       117:{1,3,5,7}:{(78,1),(79,1),(93,1),(146,1),(155,1),(159,1),(160,1)}
       118:{2,5,6}:{(79,1),(82,1),(156,1),(160,1),(161,1),(162,1),(378,1),(407,1)}
       119:{1,3,6}:{(80,1),(81,1),(95,1),(148,1),(162,1)}
       120:{2,5,7}:{(81,1),(82,1),(83,1),(162,1),(163,1)}
       121:{1,5}:{(82,1),(84,1)}
       122:{1,4,7}:{(83,1),(84,1),(85,1),(163,1)}
       123:{1,2,4,6}:{(84,1),(86,1),(99,1),(152,1),(158,1),(164,1),(165,1),(166,1),(240,1),(251,1),(253,1),(318,1),(328,1),(376,1)}
       124:{1,2,7}:{(85,1),(86,1),(320,1)}
       125:{4,6,7}:{(87,1),(89,1),(167,1),(401,1),(412,1)}
       126:{3,4,7}:{(88,1),(93,1),(169,1),(401,1)}
       127:{2,4,6}:{(88,1),(91,1),(94,1),(169,1),(170,1)}
       128:{4,5,6}:{(89,1),(167,1),(171,1),(404,1),(412,1)}
       129:{3,4,6}:{(89,1),(90,1),(95,1),(171,1),(172,1),(403,1),(412,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(96,1),(169,1),(172,1),(173,1),(254,1),(317,1),(374,1)}
       131:{1,4,5}:{(91,1),(97,1),(170,1),(174,1),(253,1),(385,1)}
       132:{3,6,7}:{(92,1),(93,1),(95,1),(403,1)}
       133:{2,3,5,7}:{(93,1),(94,1),(160,1),(169,1),(175,1),(176,1),(241,1),(254,1)}
       134:{1,3,5,6}:{(94,1),(97,1),(161,1),(170,1),(176,1),(177,1),(178,1),(242,1),(257,1),(258,1),(333,1)}
       135:{2,3,6}:{(95,1),(96,1),(162,1),(172,1),(178,1),(403,1),(407,1)}
       136:{1,3,5,7}:{(96,1),(97,1),(98,1),(163,1),(173,1),(178,1),(179,1),(260,1),(406,1)}
       137:{2,5}:{(97,1),(99,1)}
       138:{2,4,7}:{(98,1),(99,1),(179,1),(181,1),(320,1)}
       139:{2,3,6}:{(99,1),(166,1),(180,1),(181,1),(244,1),(257,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(182,1),(189,1),(267,1),(359,1),(400,1)}
       141:{3,4,6}:{(102,1),(105,1),(183,1),(184,1),(362,1)}
       142:{4,6}:{(100,1),(101,1)}
       143:{3,4,5,7}:{(101,1),(102,1),(107,1),(183,1),(186,1),(187,1),(267,1),(300,1),(361,1),(363,1),(399,1)}
       144:{2,4,5}:{(102,1),(108,1),(184,1),(188,1),(224,1)}
       145:{2,4,6,7}:{(103,1),(104,1),(106,1),(116,1),(182,1),(189,1),(204,1),(365,1)}
       146:{3,5,7}:{(104,1),(105,1),(183,1),(189,1),(296,1)}
       147:{2,3,5,6}:{(105,1),(108,1),(118,1),(184,1),(190,1),(191,1),(192,1),(197,1),(271,1)}
       148:{3,6}:{(106,1),(107,1)}
       149:{2,3,5,7}:{(107,1),(108,1),(109,1),(120,1),(187,1),(192,1),(193,1),(361,1),(396,1)}
       150:{1,3,5}:{(108,1),(110,1),(121,1),(188,1),(194,1),(274,1),(358,1),(391,1),(395,1)}
       151:{1,3,4,7}:{(109,1),(110,1),(122,1),(193,1),(195,1),(210,1),(269,1),(283,1),(293,1),(340,1),(344,1),(394,1)}
       152:{2,4,6}:{(110,1),(194,1),(195,1),(196,1),(199,1),(278,1),(280,1),(284,1)}
       153:{2,3,5}:{(111,1),(113,1),(197,1),(198,1),(218,1),(274,1)}
       154:{1,3,4}:{(111,1),(114,1),(198,1),(199,1),(203,1),(282,1),(351,1)}
       155:{1,3,4,7}:{(112,1),(117,1),(126,1),(183,1),(200,1),(213,1),(269,1),(283,1),(296,1),(340,1)}
       156:{2,4,6}:{(112,1),(113,1),(118,1),(197,1),(200,1),(201,1),(284,1)}
       157:{1,4,5}:{(113,1),(114,1),(121,1),(198,1),(201,1),(351,1),(395,1)}
       158:{1,2,4}:{(114,1),(115,1),(199,1),(203,1)}
       159:{1,3,6,7}:{(116,1),(117,1),(119,1),(132,1),(189,1),(204,1),(397,1)}
       160:{2,5,7}:{(117,1),(118,1),(200,1),(204,1),(205,1)}
       161:{1,5,6}:{(118,1),(121,1),(201,1),(205,1),(207,1),(395,1),(411,1)}
       162:{2,6}:{(119,1),(120,1),(207,1)}
       163:{1,5,7}:{(120,1),(121,1),(122,1),(207,1)}
       164:{1,2,5}:{(121,1),(123,1),(137,1),(194,1),(209,1),(358,1),(395,1)}
       165:{1,2,4,7}:{(122,1),(123,1),(124,1),(138,1),(195,1),(208,1),(210,1),(293,1),(349,1),(394,1)}
       166:{1,3,6}:{(123,1),(139,1),(196,1),(203,1),(209,1),(210,1),(282,1)}
       167:{4,5,7}:{(125,1),(128,1),(211,1)}
       168:{3,4,6,7}:{(125,1),(126,1),(129,1),(132,1),(211,1),(212,1)}
       169:{2,4,7}:{(126,1),(127,1),(133,1),(213,1)}
       170:{1,4,6}:{(127,1),(131,1),(134,1),(213,1),(214,1),(362,1)}
       171:{3,5,6}:{(128,1),(129,1),(211,1),(215,1),(391,1)}
       172:{2,4,6}:{(129,1),(130,1),(135,1),(215,1),(216,1)}
       173:{1,4,5,7}:{(130,1),(131,1),(136,1),(213,1),(216,1),(217,1),(293,1),(294,1),(358,1)}
       174:{2,4,5}:{(131,1),(137,1),(214,1),(218,1),(224,1)}
       175:{2,3,6,7}:{(132,1),(133,1),(135,1),(204,1),(212,1),(219,1)}
       176:{1,3,5,7}:{(133,1),(134,1),(205,1),(213,1),(219,1),(220,1),(283,1),(294,1),(296,1),(359,1)}
       177:{2,5,6}:{(134,1),(137,1),(214,1),(220,1),(222,1),(284,1)}
       178:{1,3,6}:{(135,1),(136,1),(207,1),(216,1),(222,1),(299,1),(411,1)}
       179:{2,5,7}:{(136,1),(137,1),(138,1),(222,1)}
       180:{2,3,5}:{(137,1),(139,1),(209,1),(218,1),(224,1)}
       181:{2,3,7}:{(138,1),(139,1),(210,1),(296,1)}
       182:{4,6,7}:{(140,1),(142,1),(225,1),(382,1),(408,1)}
       183:{3,4,7}:{(141,1),(146,1),(227,1),(382,1)}
       184:{2,4,6}:{(141,1),(144,1),(147,1),(227,1),(228,1)}
       185:{4,5,6}:{(142,1),(225,1),(229,1),(385,1),(408,1)}
       186:{3,4,6}:{(142,1),(143,1),(148,1),(229,1),(230,1),(384,1),(408,1)}
       187:{2,4,5,7}:{(143,1),(144,1),(149,1),(227,1),(230,1),(231,1),(266,1),(305,1),(337,1)}
       188:{1,4,5}:{(144,1),(150,1),(228,1),(232,1),(253,1),(404,1)}
       189:{3,6,7}:{(145,1),(146,1),(148,1),(384,1)}
       190:{2,3,5,7}:{(146,1),(147,1),(160,1),(227,1),(233,1),(234,1),(241,1),(305,1)}
       191:{1,3,5,6}:{(147,1),(150,1),(161,1),(228,1),(234,1),(235,1),(236,1),(242,1),(308,1),(309,1),(370,1)}
       192:{2,3,6}:{(148,1),(149,1),(162,1),(230,1),(236,1),(384,1),(407,1)}
       193:{1,3,5,7}:{(149,1),(150,1),(151,1),(163,1),(231,1),(236,1),(237,1),(311,1),(406,1)}
       194:{2,5}:{(150,1),(152,1)}
       195:{2,4,7}:{(151,1),(152,1),(237,1),(239,1),(320,1)}
       196:{2,3,6}:{(152,1),(166,1),(238,1),(239,1),(244,1),(308,1)}
       197:{2,3,6}:{(153,1),(156,1),(241,1),(242,1),(257,1),(308,1)}
       198:{1,3,5}:{(153,1),(154,1),(157,1),(242,1),(243,1)}
       199:{2,4}:{(154,1),(243,1),(244,1)}
       200:{2,4,7}:{(155,1),(156,1),(160,1),(241,1),(245,1),(320,1)}
       201:{1,4,6}:{(156,1),(157,1),(161,1),(242,1),(245,1)}
       202:{1,2,4,5}:{(157,1),(158,1),(164,1),(174,1),(232,1),(243,1),(246,1),(247,1),(253,1),(322,1),(327,1),(378,1)}
       203:{1,3}:{(158,1),(244,1)}
       204:{2,6,7}:{(159,1),(160,1),(162,1),(248,1),(407,1)}
       205:{1,5,7}:{(160,1),(161,1),(245,1),(248,1)}
       206:{1,2,5,6}:{(161,1),(164,1),(177,1),(235,1),(246,1),(249,1),(250,1),(251,1),(318,1),(378,1),(407,1)}
       207:{1,6}:{(162,1),(163,1)}
       208:{1,2,5,7}:{(163,1),(164,1),(165,1),(179,1),(237,1),(251,1),(252,1),(406,1)}
       209:{1,3,5}:{(164,1),(166,1),(180,1),(238,1),(253,1)}
       210:{1,3,7}:{(165,1),(166,1),(181,1),(239,1)}
       211:{3,5,7}:{(167,1),(168,1),(171,1),(254,1)}
       212:{2,4,6,7}:{(168,1),(169,1),(172,1),(175,1),(254,1),(255,1)}
       213:{1,4,7}:{(169,1),(170,1),(176,1),(256,1),(382,1)}
       214:{2,4,6}:{(170,1),(174,1),(177,1),(256,1),(257,1)}
       215:{2,5,6}:{(171,1),(172,1),(254,1),(258,1),(374,1)}
       216:{1,4,6}:{(172,1),(173,1),(178,1),(258,1),(259,1)}
       217:{2,4,5,7}:{(173,1),(174,1),(179,1),(256,1),(259,1),(260,1),(266,1),(329,1),(337,1),(382,1),(385,1)}
       218:{3,5}:{(174,1),(257,1),(261,1)}
       219:{1,3,6,7}:{(175,1),(176,1),(178,1),(248,1),(255,1),(262,1),(330,1)}
       220:{2,5,7}:{(176,1),(177,1),(256,1),(262,1),(320,1)}
       221:{2,3,5,6}:{(177,1),(180,1),(250,1),(257,1),(263,1),(264,1),(265,1),(321,1),(332,1),(333,1),(337,1),(378,1),(384,1),(386,1),(407,1)}
       222:{2,6}:{(178,1),(179,1)}
       223:{2,3,5,7}:{(179,1),(180,1),(181,1),(252,1),(260,1),(265,1),(266,1),(337,1)}
       224:{2,4}:{(180,1),(253,1),(261,1)}
       225:{4,5,7}:{(182,1),(185,1),(267,1)}
       226:{3,4,6,7}:{(182,1),(183,1),(186,1),(189,1),(267,1),(268,1)}
       227:{2,4,7}:{(183,1),(184,1),(190,1),(269,1)}
       228:{1,4,6}:{(184,1),(188,1),(191,1),(269,1),(270,1),(390,1)}
       229:{3,5,6}:{(185,1),(186,1),(267,1),(271,1),(363,1)}
       230:{2,4,6}:{(186,1),(187,1),(192,1),(271,1),(272,1)}
       231:{1,4,5,7}:{(187,1),(188,1),(193,1),(269,1),(272,1),(273,1),(293,1),(338,1),(358,1)}
       232:{2,4,5}:{(188,1),(194,1),(270,1),(274,1),(280,1)}
       233:{2,3,6,7}:{(189,1),(190,1),(192,1),(204,1),(268,1),(275,1)}
       234:{1,3,5,7}:{(190,1),(191,1),(205,1),(269,1),(275,1),(276,1),(283,1),(338,1),(340,1),(387,1)}
       235:{2,5,6}:{(191,1),(194,1),(270,1),(276,1),(278,1),(284,1)}
       236:{1,3,6}:{(192,1),(193,1),(207,1),(272,1),(278,1),(343,1),(411,1)}
       237:{2,5,7}:{(193,1),(194,1),(195,1),(278,1)}
       238:{2,3,5}:{(194,1),(196,1),(209,1),(274,1),(280,1)}
       239:{2,3,7}:{(195,1),(196,1),(210,1),(340,1)}
       240:{1,2,4}:{(199,1),(281,1),(282,1),(351,1)}
       241:{2,3,7}:{(197,1),(200,1),(283,1),(296,1),(340,1)}
       242:{1,3,6}:{(197,1),(198,1),(201,1),(283,1),(284,1)}
       243:{2,5}:{(198,1),(199,1),(284,1)}
       244:{2,3}:{(199,1),(203,1),(282,1)}
       245:{1,4,7}:{(200,1),(201,1),(205,1),(283,1)}
       246:{1,2,4,6}:{(201,1),(202,1),(206,1),(214,1),(270,1),(284,1),(286,1),(287,1),(291,1),(353,1)}
       247:{1,3,5}:{(202,1),(203,1),(218,1),(274,1),(285,1),(287,1),(288,1)}
       248:{1,6,7}:{(204,1),(205,1),(207,1),(411,1)}
       249:{1,2,5,7}:{(205,1),(206,1),(220,1),(276,1),(286,1),(289,1),(290,1),(349,1),(396,1)}
       250:{1,3,5,6}:{(206,1),(209,1),(221,1),(277,1),(287,1),(290,1),(291,1),(292,1),(350,1),(355,1),(358,1),(395,1),(397,1),(398,1),(411,1)}
       251:{1,2,6}:{(207,1),(208,1),(222,1),(278,1),(292,1),(411,1)}
       252:{1,3,5,7}:{(208,1),(209,1),(210,1),(223,1),(279,1),(292,1),(293,1),(358,1)}
       253:{1,4}:{(209,1),(224,1),(280,1)}
       254:{2,5,7}:{(211,1),(212,1),(215,1),(294,1)}
       255:{1,4,6,7}:{(212,1),(213,1),(216,1),(219,1),(294,1),(295,1)}
       256:{2,4,7}:{(213,1),(214,1),(220,1),(296,1)}
       257:{3,6}:{(214,1),(218,1),(296,1)}
       258:{1,5,6}:{(215,1),(216,1),(294,1),(298,1),(358,1)}
       259:{2,4,6}:{(216,1),(217,1),(222,1),(298,1),(299,1),(362,1)}
       260:{3,5,7}:{(217,1),(218,1),(296,1),(299,1),(300,1),(363,1)}
       261:{3,4}:{(218,1),(224,1)}
       262:{2,6,7}:{(219,1),(220,1),(222,1)}
       263:{2,3,5,7}:{(220,1),(221,1),(290,1),(296,1),(301,1),(302,1),(352,1),(359,1),(361,1),(364,1),(396,1)}
       264:{2,4,6}:{(221,1),(224,1),(291,1),(297,1),(302,1),(303,1),(362,1)}
       265:{2,3,6}:{(222,1),(223,1),(292,1),(299,1),(304,1)}
       266:{2,4,7}:{(223,1),(224,1),(293,1),(300,1),(304,1)}
       267:{3,5,7}:{(225,1),(226,1),(229,1),(305,1)}
       268:{2,4,6,7}:{(226,1),(227,1),(230,1),(233,1),(305,1),(306,1)}
       269:{1,4,7}:{(227,1),(228,1),(234,1),(307,1),(401,1)}
       270:{2,4,6}:{(228,1),(232,1),(235,1),(307,1),(308,1)}
       271:{2,5,6}:{(229,1),(230,1),(305,1),(309,1),(337,1)}
       272:{1,4,6}:{(230,1),(231,1),(236,1),(309,1),(310,1)}
       273:{2,4,5,7}:{(231,1),(232,1),(237,1),(307,1),(310,1),(311,1),(317,1),(366,1),(374,1),(401,1),(404,1)}
       274:{3,5}:{(232,1),(308,1),(312,1)}
       275:{1,3,6,7}:{(233,1),(234,1),(236,1),(248,1),(306,1),(313,1),(367,1)}
       276:{2,5,7}:{(234,1),(235,1),(307,1),(313,1),(320,1)}
       277:{2,3,5,6}:{(235,1),(238,1),(250,1),(308,1),(314,1),(315,1),(316,1),(321,1),(369,1),(370,1),(374,1),(378,1),(403,1),(405,1),(407,1)}
       278:{2,6}:{(236,1),(237,1)}
       279:{2,3,5,7}:{(237,1),(238,1),(239,1),(252,1),(311,1),(316,1),(317,1),(374,1)}
       280:{2,4}:{(238,1),(253,1),(312,1)}
       281:{1,2,5}:{(240,1),(243,1),(318,1),(319,1)}
       282:{1,3}:{(240,1),(244,1)}
       283:{1,3,7}:{(241,1),(242,1),(245,1),(320,1)}
       284:{2,6}:{(242,1),(243,1),(320,1)}
       285:{2,3,5}:{(243,1),(244,1),(247,1),(319,1),(321,1),(322,1),(378,1)}
       286:{1,2,4,7}:{(245,1),(246,1),(249,1),(256,1),(307,1),(320,1),(323,1),(326,1),(377,1)}
       287:{1,3,6}:{(246,1),(247,1),(257,1),(308,1),(321,1),(323,1)}
       288:{1,3,4}:{(247,1),(253,1),(261,1),(312,1),(322,1)}
       289:{1,2,6,7}:{(248,1),(249,1),(251,1),(262,1),(313,1),(325,1),(407,1)}
       290:{1,3,5,7}:{(249,1),(250,1),(263,1),(314,1),(323,1),(325,1),(326,1),(375,1),(380,1),(406,1)}
       291:{1,4,6}:{(250,1),(253,1),(264,1),(315,1),(326,1),(327,1)}
       292:{1,3,6}:{(251,1),(252,1),(265,1),(316,1),(328,1)}
       293:{1,4,7}:{(252,1),(253,1),(266,1),(317,1),(328,1)}
       294:{1,5,7}:{(254,1),(255,1),(258,1),(329,1)}
       295:{2,4,6,7}:{(255,1),(256,1),(259,1),(262,1),(329,1),(330,1),(382,1)}
       296:{3,7}:{(256,1),(257,1)}
       297:{3,4,6}:{(257,1),(261,1),(264,1),(331,1),(332,1),(384,1)}
       298:{2,5,6}:{(258,1),(259,1),(329,1),(333,1),(337,1)}
       299:{3,6}:{(259,1),(260,1)}
       300:{3,4,7}:{(260,1),(261,1),(266,1),(334,1),(382,1)}
       301:{2,3,6,7}:{(262,1),(263,1),(265,1),(325,1),(330,1),(335,1),(384,1),(407,1)}
       302:{2,4,7}:{(263,1),(264,1),(326,1),(331,1),(382,1)}
       303:{2,4,5}:{(264,1),(327,1),(332,1),(337,1),(378,1),(385,1)}
       304:{2,4,6}:{(265,1),(266,1),(328,1),(334,1),(337,1)}
       305:{2,5,7}:{(267,1),(268,1),(271,1),(338,1)}
       306:{1,4,6,7}:{(268,1),(269,1),(272,1),(275,1),(338,1),(339,1)}
       307:{2,4,7}:{(269,1),(270,1),(276,1),(340,1)}
       308:{3,6}:{(270,1),(274,1),(340,1)}
       309:{1,5,6}:{(271,1),(272,1),(338,1),(342,1),(358,1)}
       310:{2,4,6}:{(272,1),(273,1),(278,1),(342,1),(343,1),(390,1)}
       311:{3,5,7}:{(273,1),(274,1),(340,1),(343,1),(344,1),(391,1)}
       312:{3,4}:{(274,1),(280,1)}
       313:{2,6,7}:{(275,1),(276,1),(278,1)}
       314:{2,3,5,7}:{(276,1),(277,1),(290,1),(340,1),(345,1),(346,1),(352,1),(387,1),(389,1),(392,1),(396,1)}
       315:{2,4,6}:{(277,1),(280,1),(291,1),(341,1),(346,1),(347,1),(390,1)}
       316:{2,3,6}:{(278,1),(279,1),(292,1),(343,1),(348,1)}
       317:{2,4,7}:{(279,1),(280,1),(293,1),(344,1),(348,1)}
       318:{1,2,6}:{(281,1),(284,1),(349,1),(350,1)}
       319:{1,3,5}:{(281,1),(282,1),(285,1),(350,1),(351,1),(395,1)}
       320:{2,7}:{(283,1),(284,1)}
       321:{2,3,6}:{(284,1),(285,1),(287,1),(350,1),(352,1),(353,1)}
       322:{2,4}:{(285,1),(288,1),(351,1)}
       323:{1,3,7}:{(286,1),(287,1),(296,1),(340,1),(352,1)}
       324:{1,3,4,6}:{(287,1),(288,1),(291,1),(297,1),(341,1),(353,1),(354,1),(355,1),(397,1)}
       325:{1,3,6,7}:{(289,1),(290,1),(292,1),(301,1),(345,1),(356,1),(397,1),(411,1)}
       326:{1,4,7}:{(290,1),(291,1),(302,1),(346,1)}
       327:{1,4,5}:{(291,1),(303,1),(347,1),(355,1),(358,1),(395,1)}
       328:{1,4,6}:{(292,1),(293,1),(304,1),(348,1),(358,1)}
       329:{2,5,7}:{(294,1),(295,1),(298,1),(359,1)}
       330:{3,6,7}:{(295,1),(296,1),(299,1),(359,1)}
       331:{3,4,7}:{(296,1),(297,1),(302,1),(361,1)}
       332:{3,5}:{(297,1),(303,1)}
       333:{3,5,6}:{(298,1),(299,1),(359,1),(362,1),(363,1)}
       334:{3,4,6}:{(299,1),(300,1),(304,1),(362,1),(363,1)}
       335:{2,4,6,7}:{(301,1),(302,1),(304,1),(356,1),(360,1),(364,1),(365,1)}
       336:{2,4,5,7}:{(302,1),(303,1),(357,1),(361,1),(364,1),(365,1),(396,1),(399,1)}
       337:{2,5}:{(304,1),(358,1),(363,1)}
       338:{1,5,7}:{(305,1),(306,1),(309,1),(366,1)}
       339:{2,4,6,7}:{(306,1),(307,1),(310,1),(313,1),(366,1),(367,1),(401,1)}
       340:{3,7}:{(307,1),(308,1)}
       341:{3,4,6}:{(308,1),(312,1),(315,1),(368,1),(369,1),(403,1)}
       342:{2,5,6}:{(309,1),(310,1),(366,1),(370,1),(374,1)}
       343:{3,6}:{(310,1),(311,1)}
       344:{3,4,7}:{(311,1),(312,1),(317,1),(371,1),(401,1)}
       345:{2,3,6,7}:{(313,1),(314,1),(316,1),(325,1),(367,1),(372,1),(403,1),(407,1)}
       346:{2,4,7}:{(314,1),(315,1),(326,1),(368,1),(401,1)}
       347:{2,4,5}:{(315,1),(327,1),(369,1),(374,1),(378,1),(404,1)}
       348:{2,4,6}:{(316,1),(317,1),(328,1),(371,1),(374,1)}
       349:{1,2,7}:{(318,1),(320,1),(375,1)}
       350:{1,3,6}:{(318,1),(319,1),(321,1),(375,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,3,7}:{(320,1),(321,1),(323,1),(375,1),(377,1)}
       353:{2,4,6}:{(321,1),(322,1),(324,1),(376,1),(377,1),(378,1),(407,1)}
       354:{1,3,4,7}:{(323,1),(324,1),(326,1),(331,1),(368,1),(377,1),(379,1)}
       355:{1,3,5}:{(324,1),(327,1),(332,1),(369,1),(378,1)}
       356:{1,4,6,7}:{(325,1),(326,1),(328,1),(335,1),(372,1),(380,1),(381,1)}
       357:{1,4,5,7}:{(326,1),(327,1),(336,1),(373,1),(379,1),(380,1),(381,1),(406,1)}
       358:{1,5}:{(328,1),(337,1),(374,1)}
       359:{3,5,7}:{(329,1),(330,1),(333,1),(382,1)}
       360:{3,4,6,7}:{(330,1),(331,1),(334,1),(335,1),(382,1),(383,1),(384,1),(408,1)}
       361:{3,5,7}:{(331,1),(332,1),(336,1),(384,1)}
       362:{4,6}:{(333,1),(382,1),(385,1)}
       363:{3,5}:{(334,1),(337,1),(385,1)}
       364:{2,5,7}:{(335,1),(337,1),(380,1),(383,1),(386,1)}
       365:{2,4,6}:{(336,1),(381,1),(384,1),(386,1),(407,1),(408,1)}
       366:{2,5,7}:{(338,1),(339,1),(342,1),(387,1)}
       367:{3,6,7}:{(339,1),(340,1),(343,1),(387,1)}
       368:{3,4,7}:{(340,1),(341,1),(346,1),(389,1)}
       369:{3,5}:{(341,1),(347,1)}
       370:{3,5,6}:{(342,1),(343,1),(387,1),(390,1),(391,1)}
       371:{3,4,6}:{(343,1),(344,1),(348,1),(390,1),(391,1)}
       372:{2,4,6,7}:{(345,1),(346,1),(348,1),(356,1),(388,1),(392,1),(393,1)}
       373:{2,4,5,7}:{(346,1),(347,1),(357,1),(389,1),(392,1),(393,1),(396,1),(409,1)}
       374:{2,5}:{(348,1),(358,1),(391,1)}
       375:{1,3,7}:{(349,1),(350,1),(352,1),(394,1)}
       376:{1,4,6}:{(350,1),(351,1),(353,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(352,1),(353,1),(354,1),(394,1),(396,1)}
       378:{2,5}:{(353,1),(355,1),(395,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(357,1),(361,1),(389,1),(396,1),(397,1)}
       380:{1,5,7}:{(356,1),(358,1),(364,1),(392,1),(398,1)}
       381:{1,4,6}:{(357,1),(365,1),(393,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(362,1)}
       383:{3,5,7}:{(360,1),(363,1),(364,1),(399,1),(400,1)}
       384:{3,6}:{(361,1),(365,1)}
       385:{4,5}:{(362,1),(363,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(400,1)}
       387:{3,5,7}:{(366,1),(367,1),(370,1),(401,1)}
       388:{3,4,6,7}:{(367,1),(368,1),(371,1),(372,1),(401,1),(402,1),(403,1),(412,1)}
       389:{3,5,7}:{(368,1),(369,1),(373,1),(403,1)}
       390:{4,6}:{(370,1),(401,1),(404,1)}
       391:{3,5}:{(371,1),(374,1),(404,1)}
       392:{2,5,7}:{(372,1),(374,1),(380,1),(402,1),(405,1)}
       393:{2,4,6}:{(373,1),(381,1),(403,1),(405,1),(407,1),(412,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(384,1),(403,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{4,5,7}:{(382,1),(383,1),(385,1),(408,1)}
       400:{3,5,6}:{(383,1),(384,1),(386,1),(408,1)}
       401:{4,7}:{(387,1),(390,1)}
       402:{3,5,7}:{(388,1),(391,1),(392,1),(409,1),(410,1)}
       403:{3,6}:{(389,1),(393,1)}
       404:{4,5}:{(390,1),(391,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(410,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(404,1),(412,1)}
       410:{3,5,6}:{(402,1),(403,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

1109 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(48,1),(53,1)}
         1:{2,3,5,7}:{(4,1),(5,1),(6,1),(18,1),(25,1),(26,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(11,1),(34,1),(67,1)}
         3:{1,2,6}:{(0,1),(10,1),(73,1)}
         4:{1,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(32,1),(35,1),(38,1),(68,1),(70,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(41,1),(73,1)}
         6:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(71,1)}
         7:{2,3,5,7}:{(4,1),(15,1),(16,1),(18,1),(45,1),(46,1),(51,1),(53,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(22,1),(52,1),(54,1)}
         9:{1,3,7}:{(2,1),(18,1),(20,1),(84,1),(125,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(15,1),(22,1),(87,1)}
        11:{1,4,7}:{(4,1),(6,1),(16,1),(22,1),(54,1),(85,1)}
        12:{3,4,7}:{(6,1),(24,1),(25,1),(88,1),(94,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1)}
        14:{2,4,5,7}:{(6,1),(23,1),(25,1),(26,1),(27,1),(53,1),(59,1),(62,1),(89,1),(94,1),(114,1)}
        15:{2,3,6}:{(7,1),(10,1),(29,1),(64,1),(73,1)}
        16:{2,4,7}:{(7,1),(11,1),(28,1),(29,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(97,1),(124,1)}
        18:{2,3,7}:{(9,1),(32,1),(33,1),(34,1),(98,1),(119,1),(124,1)}
        19:{1,2,5}:{(8,1),(35,1),(38,1),(72,1),(97,1)}
        20:{1,3,6}:{(8,1),(9,1),(33,1),(35,1),(123,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(12,1),(28,1),(34,1),(36,1),(37,1),(99,1),(106,1),(119,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(38,1)}
        23:{1,4,5,7}:{(11,1),(14,1),(30,1),(37,1),(38,1),(39,1),(70,1),(74,1),(77,1),(100,1),(106,1),(118,1)}
        24:{3,4,6}:{(12,1),(13,1),(40,1),(41,1),(78,1)}
        25:{3,5,7}:{(12,1),(14,1),(40,1),(41,1),(103,1),(119,1)}
        26:{2,5}:{(13,1),(38,1),(40,1)}
        27:{2,4,6}:{(14,1),(39,1),(41,1),(42,1),(73,1),(78,1)}
        28:{3,4,7}:{(16,1),(44,1),(45,1),(88,1),(107,1)}
        29:{2,4,6}:{(15,1),(16,1),(22,1),(44,1),(46,1)}
        30:{2,4,5,7}:{(16,1),(23,1),(45,1),(46,1),(47,1),(53,1),(80,1),(83,1),(89,1),(107,1),(114,1)}
        31:{1,2,6}:{(17,1),(48,1),(49,1),(121,1)}
        32:{1,3,7}:{(17,1),(18,1),(49,1),(50,1),(108,1)}
        33:{2,3,6}:{(18,1),(20,1),(49,1),(51,1),(52,1),(113,1),(121,1)}
        34:{2,4,7}:{(18,1),(21,1),(50,1),(52,1),(53,1),(109,1)}
        35:{1,3,5}:{(19,1),(20,1),(51,1),(54,1),(108,1),(120,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(22,1),(24,1),(44,1),(52,1),(54,1),(55,1),(56,1),(88,1),(92,1),(113,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(45,1),(53,1),(55,1),(56,1),(110,1),(122,1)}
        38:{1,5}:{(22,1),(26,1),(46,1)}
        39:{1,4,6}:{(23,1),(27,1),(47,1),(56,1),(57,1),(87,1)}
        40:{3,5}:{(24,1),(26,1),(59,1)}
        41:{3,6}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(27,1),(57,1),(60,1),(62,1)}
        43:{2,4,6,7}:{(27,1),(58,1),(61,1),(62,1),(91,1),(94,1),(114,1)}
        44:{3,4,6}:{(28,1),(29,1),(63,1),(64,1),(95,1)}
        45:{3,5,7}:{(28,1),(30,1),(63,1),(64,1),(103,1),(119,1)}
        46:{2,5}:{(29,1),(38,1),(63,1)}
        47:{2,4,6}:{(30,1),(39,1),(64,1),(65,1),(73,1),(95,1)}
        48:{1,2,5}:{(31,1),(67,1),(68,1),(116,1)}
        49:{1,3,6}:{(31,1),(32,1),(33,1),(68,1),(69,1)}
        50:{1,4,7}:{(32,1),(34,1),(69,1),(70,1),(115,1)}
        51:{2,3,5}:{(33,1),(35,1),(68,1),(71,1),(72,1),(98,1),(103,1),(116,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(69,1),(71,1),(72,1),(73,1)}
        53:{2,5,7}:{(34,1),(37,1),(70,1),(72,1),(73,1),(116,1),(124,1)}
        54:{1,4}:{(35,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(40,1),(63,1),(72,1),(74,1),(103,1)}
        56:{1,3,6}:{(37,1),(39,1),(41,1),(64,1),(73,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(65,1),(77,1)}
        58:{1,4,6,7}:{(39,1),(43,1),(66,1),(76,1),(77,1),(102,1),(106,1),(118,1)}
        59:{4,5}:{(40,1),(78,1)}
        60:{3,5,6}:{(40,1),(41,1),(42,1),(78,1),(79,1)}
        61:{3,6,7}:{(41,1),(43,1),(79,1),(119,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(79,1)}
        63:{3,5}:{(44,1),(46,1),(80,1)}
        64:{3,6}:{(45,1),(47,1)}
        65:{2,5,6}:{(46,1),(47,1),(57,1),(81,1),(83,1)}
        66:{2,4,6,7}:{(47,1),(58,1),(82,1),(83,1),(91,1),(107,1),(114,1)}
        67:{1,2,4}:{(48,1),(84,1),(85,1),(109,1)}
        68:{1,3,5}:{(48,1),(49,1),(51,1),(84,1),(85,1),(86,1)}
        69:{1,4,6}:{(49,1),(50,1),(52,1),(85,1),(86,1),(87,1)}
        70:{1,5,7}:{(50,1),(53,1),(86,1),(87,1),(120,1),(125,1)}
        71:{2,4}:{(51,1),(54,1),(85,1),(88,1)}
        72:{2,5}:{(52,1),(55,1),(86,1)}
        73:{2,6}:{(53,1),(56,1),(87,1)}
        74:{1,4,5}:{(54,1),(55,1),(59,1),(80,1),(89,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(55,1),(56,1),(57,1),(60,1),(81,1),(90,1),(92,1),(93,1),(113,1)}
        76:{1,3,6,7}:{(56,1),(58,1),(61,1),(82,1),(91,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{4,6}:{(59,1),(60,1),(94,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(94,1)}
        80:{4,5}:{(63,1),(95,1)}
        81:{3,5,6}:{(63,1),(64,1),(65,1),(95,1),(96,1)}
        82:{3,6,7}:{(64,1),(66,1),(96,1),(119,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(96,1)}
        84:{1,3}:{(67,1),(98,1)}
        85:{1,4}:{(68,1),(71,1)}
        86:{1,5}:{(69,1),(72,1)}
        87:{1,6}:{(70,1),(73,1)}
        88:{3,4}:{(71,1),(103,1)}
        89:{2,4,5}:{(71,1),(72,1),(74,1),(100,1),(103,1),(104,1),(116,1)}
        90:{2,5,6}:{(72,1),(73,1),(75,1),(101,1),(104,1),(105,1)}
        91:{2,6,7}:{(73,1),(76,1),(102,1),(105,1),(124,1)}
        92:{1,4,6}:{(74,1),(75,1),(78,1),(95,1),(104,1),(106,1),(123,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(77,1),(79,1),(96,1),(105,1),(106,1),(119,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{4,6}:{(80,1),(81,1),(107,1)}
        96:{3,5,7}:{(81,1),(82,1),(83,1),(107,1)}
        97:{1,2}:{(108,1)}
        98:{2,3}:{(84,1),(108,1),(109,1)}
        99:{1,3,4}:{(84,1),(85,1),(88,1),(109,1),(110,1)}
       100:{1,4,5}:{(85,1),(86,1),(89,1),(110,1),(111,1)}
       101:{1,5,6}:{(86,1),(87,1),(90,1),(111,1),(112,1)}
       102:{1,6,7}:{(87,1),(91,1),(112,1),(125,1)}
       103:{3,5}:{(88,1),(89,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(92,1),(111,1),(113,1),(114,1),(121,1)}
       105:{2,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1)}
       106:{1,4,7}:{(92,1),(93,1),(94,1),(107,1),(114,1),(125,1)}
       107:{4,7}:{(95,1),(96,1)}
       108:{1,3}:{(97,1),(98,1),(115,1)}
       109:{2,4}:{(98,1),(99,1),(115,1),(116,1)}
       110:{1,3,5}:{(99,1),(100,1),(103,1),(116,1),(117,1)}
       111:{1,4,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       112:{1,5,7}:{(101,1),(102,1),(105,1),(118,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{2,4,7}:{(104,1),(105,1),(106,1),(118,1),(119,1),(124,1)}
       115:{1,4}:{(108,1),(109,1),(120,1)}
       116:{2,5}:{(109,1),(110,1),(120,1),(121,1)}
       117:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       118:{1,4,7}:{(111,1),(112,1),(114,1),(122,1)}
       119:{3,7}:{(113,1),(114,1)}
       120:{1,5}:{(115,1),(116,1),(123,1)}
       121:{2,6}:{(116,1),(117,1),(123,1),(124,1)}
       122:{1,3,7}:{(117,1),(118,1),(119,1),(124,1)}
       123:{1,6}:{(120,1),(121,1),(125,1)}
       124:{2,7}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1110 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1111 :   0:{1,2,6,7}:{(3,1),(4,1),(131,1),(215,1),(216,1),(224,1),(282,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(71,1),(131,1),(282,1),(283,1),(342,1)}
         2:{3,4,6,7}:{(5,1),(7,1),(28,1),(30,1),(71,1),(342,1),(343,1),(386,1)}
         3:{1,3,6,7}:{(0,1),(1,1),(8,1),(10,1),(11,1),(94,1),(172,1),(257,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(95,1),(97,1),(253,1),(262,1),(316,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(10,1),(14,1),(15,1),(46,1),(320,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(47,1),(95,1),(316,1),(366,1),(370,1)}
         7:{3,5,7}:{(2,1),(14,1),(16,1),(17,1),(369,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(19,1),(119,1),(131,1),(224,1),(225,1),(229,1)}
         9:{1,2,5,6}:{(4,1),(20,1),(21,1),(127,1),(129,1),(131,1),(212,1),(213,1),(216,1),(222,1),(280,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(18,1),(22,1),(23,1),(63,1),(297,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(6,1),(19,1),(20,1),(22,1),(23,1),(24,1),(66,1),(132,1)}
        12:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(65,1),(290,1),(298,1),(344,1),(353,1)}
        13:{2,3,5,6}:{(6,1),(20,1),(25,1),(26,1),(61,1),(68,1),(71,1),(127,1),(131,1),(280,1),(281,1),(283,1),(341,1),(345,1),(350,1)}
        14:{2,5,7}:{(5,1),(7,1),(22,1),(26,1),(350,1)}
        15:{2,4,7}:{(6,1),(23,1),(25,1),(28,1),(386,1)}
        16:{3,5,6}:{(7,1),(26,1),(30,1),(71,1)}
        17:{4,5,7}:{(7,1),(30,1),(386,1),(387,1)}
        18:{2,4,6,7}:{(8,1),(10,1),(32,1),(34,1),(35,1),(84,1),(266,1)}
        19:{2,3,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(42,1),(85,1),(95,1),(262,1),(267,1),(333,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(13,1),(33,1),(37,1),(38,1),(39,1),(90,1),(92,1),(94,1),(169,1),(172,1),(255,1),(257,1),(332,1)}
        21:{1,2,4,6}:{(9,1),(12,1),(36,1),(37,1),(38,1),(91,1),(250,1),(260,1),(314,1),(324,1)}
        22:{1,5,7}:{(10,1),(14,1),(34,1),(39,1),(332,1)}
        23:{1,4,7}:{(11,1),(15,1),(35,1),(37,1)}
        24:{1,3,7}:{(12,1),(38,1),(42,1),(333,1),(370,1)}
        25:{2,4,6}:{(13,1),(15,1),(37,1),(43,1),(44,1),(318,1),(367,1)}
        26:{2,5,6}:{(14,1),(16,1),(39,1),(46,1)}
        27:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(43,1),(46,1),(47,1),(95,1)}
        28:{3,4,7}:{(15,1),(44,1),(47,1),(370,1)}
        29:{3,5,6,7}:{(16,1),(45,1),(50,1),(103,1),(107,1),(366,1),(401,1)}
        30:{4,6}:{(16,1),(17,1)}
        31:{3,4,5,7}:{(17,1),(47,1),(51,1),(52,1),(98,1),(107,1),(175,1),(312,1),(369,1),(400,1),(402,1)}
        32:{3,4,6,7}:{(18,1),(53,1),(57,1),(113,1),(119,1),(229,1),(230,1),(305,1)}
        33:{2,3,5,6}:{(19,1),(20,1),(54,1),(55,1),(61,1),(116,1),(119,1),(127,1),(131,1),(222,1),(223,1),(225,1),(228,1),(299,1),(304,1)}
        34:{2,5,7}:{(18,1),(22,1),(53,1),(55,1),(304,1)}
        35:{2,4,7}:{(19,1),(23,1),(54,1),(57,1),(305,1)}
        36:{1,2,4,5}:{(21,1),(58,1),(59,1),(123,1),(127,1),(209,1),(213,1),(220,1),(278,1),(285,1),(288,1),(295,1)}
        37:{1,4,6}:{(20,1),(23,1),(25,1),(54,1),(59,1),(295,1)}
        38:{1,3,6}:{(21,1),(24,1),(58,1),(61,1),(299,1),(345,1)}
        39:{1,5,6}:{(22,1),(26,1),(55,1),(63,1)}
        40:{1,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(59,1),(63,1),(64,1),(132,1)}
        41:{1,3,4,7}:{(23,1),(24,1),(28,1),(57,1),(60,1),(64,1),(65,1)}
        42:{2,3,7}:{(24,1),(61,1),(65,1),(66,1),(353,1)}
        43:{2,4,5}:{(25,1),(59,1),(68,1),(127,1),(350,1),(387,1)}
        44:{3,4,6}:{(25,1),(28,1),(68,1),(71,1),(345,1),(346,1)}
        45:{2,5,6,7}:{(26,1),(29,1),(62,1),(70,1),(144,1),(340,1),(392,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(63,1),(71,1),(131,1)}
        47:{3,5,7}:{(27,1),(28,1),(68,1),(71,1)}
        48:{2,3,4,7}:{(28,1),(65,1),(69,1),(72,1),(73,1),(204,1),(218,1),(284,1),(286,1),(389,1),(395,1)}
        49:{4,5,6}:{(30,1),(74,1),(75,1),(387,1),(408,1)}
        50:{4,6,7}:{(29,1),(30,1),(74,1),(386,1),(408,1)}
        51:{3,4,6}:{(30,1),(31,1),(71,1),(75,1),(77,1),(408,1),(409,1)}
        52:{2,4,5,7}:{(31,1),(72,1),(77,1),(78,1),(135,1),(144,1),(218,1),(284,1),(350,1)}
        53:{3,5,7}:{(32,1),(34,1),(79,1),(80,1),(270,1)}
        54:{2,4,6}:{(33,1),(35,1),(37,1),(81,1),(82,1),(264,1),(268,1)}
        55:{2,5,6}:{(34,1),(39,1),(79,1),(84,1)}
        56:{2,4,5,7}:{(34,1),(35,1),(40,1),(80,1),(81,1),(84,1),(85,1),(95,1)}
        57:{3,4,7}:{(35,1),(82,1),(85,1),(333,1)}
        58:{1,3,5}:{(36,1),(38,1),(87,1),(88,1),(261,1),(315,1),(322,1)}
        59:{1,4,5}:{(37,1),(43,1),(81,1),(90,1),(169,1),(332,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(41,1),(44,1),(82,1),(87,1),(90,1),(91,1),(94,1)}
        61:{2,3,6}:{(38,1),(42,1),(88,1),(91,1),(92,1),(324,1)}
        62:{1,5,6,7}:{(39,1),(45,1),(83,1),(93,1),(185,1),(308,1),(383,1)}
        63:{1,4,6}:{(39,1),(40,1),(46,1),(84,1),(94,1),(172,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(47,1),(85,1),(90,1),(94,1),(95,1)}
        65:{2,4,7}:{(41,1),(42,1),(91,1),(95,1),(96,1)}
        66:{1,3,7}:{(42,1),(92,1),(96,1),(97,1)}
        67:{2,4,5,6}:{(43,1),(46,1),(49,1),(89,1),(99,1),(100,1),(108,1),(168,1),(176,1),(309,1),(314,1),(367,1),(373,1),(403,1)}
        68:{3,5}:{(43,1),(44,1)}
        69:{2,3,4,6}:{(44,1),(48,1),(91,1),(101,1),(102,1),(104,1),(162,1),(176,1),(242,1),(246,1),(318,1),(320,1),(371,1),(379,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(50,1),(93,1),(99,1),(103,1),(171,1),(403,1)}
        71:{3,6}:{(46,1),(47,1)}
        72:{2,3,5,7}:{(47,1),(48,1),(52,1),(95,1),(101,1),(104,1),(105,1),(402,1),(406,1)}
        73:{1,3,4,7}:{(48,1),(96,1),(102,1),(105,1),(106,1),(174,1),(189,1),(258,1),(259,1),(323,1),(333,1),(404,1)}
        74:{4,5,7}:{(49,1),(50,1),(107,1)}
        75:{3,5,6}:{(49,1),(51,1),(107,1),(108,1),(369,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(103,1),(107,1),(109,1),(175,1)}
        77:{2,4,6}:{(51,1),(52,1),(104,1),(108,1),(110,1)}
        78:{1,4,5,7}:{(52,1),(105,1),(110,1),(111,1),(177,1),(185,1),(258,1),(259,1),(332,1)}
        79:{3,5,6}:{(53,1),(55,1),(113,1),(119,1)}
        80:{4,5,7}:{(53,1),(113,1),(305,1),(306,1)}
        81:{2,4,5}:{(54,1),(59,1),(116,1),(127,1),(304,1),(306,1)}
        82:{3,4,6}:{(54,1),(57,1),(116,1),(119,1),(299,1),(300,1)}
        83:{2,5,6,7}:{(55,1),(62,1),(112,1),(118,1),(227,1),(271,1),(364,1)}
        84:{2,4,6}:{(55,1),(56,1),(63,1),(113,1),(119,1),(131,1)}
        85:{3,5,7}:{(56,1),(57,1),(116,1),(119,1)}
        86:{2,3,4,7}:{(57,1),(65,1),(117,1),(120,1),(121,1),(143,1),(226,1),(276,1),(286,1),(361,1),(395,1)}
        87:{1,3,4}:{(58,1),(123,1),(295,1),(300,1),(346,1)}
        88:{2,3,5}:{(58,1),(61,1),(123,1),(124,1),(127,1),(288,1),(289,1)}
        89:{1,4,5,6}:{(59,1),(63,1),(67,1),(115,1),(125,1),(126,1),(145,1),(212,1),(219,1),(272,1),(277,1),(359,1),(398,1)}
        90:{1,3,5}:{(59,1),(60,1),(68,1),(116,1),(127,1)}
        91:{2,4,6}:{(60,1),(61,1),(65,1),(123,1),(127,1),(128,1),(131,1)}
        92:{1,3,6}:{(61,1),(66,1),(124,1),(128,1),(129,1)}
        93:{1,4,6,7}:{(62,1),(63,1),(70,1),(118,1),(125,1),(130,1),(215,1),(398,1)}
        94:{1,3,6}:{(63,1),(64,1),(71,1),(119,1),(131,1)}
        95:{2,5,7}:{(64,1),(65,1),(127,1),(131,1),(132,1)}
        96:{1,4,7}:{(65,1),(66,1),(128,1),(132,1)}
        97:{1,2,7}:{(66,1),(129,1),(353,1)}
        98:{3,4,5}:{(68,1),(134,1),(135,1),(346,1),(387,1),(390,1)}
        99:{2,4,5,7}:{(67,1),(70,1),(74,1),(125,1),(136,1),(144,1),(211,1),(218,1),(340,1),(344,1),(386,1)}
       100:{3,5,6}:{(67,1),(68,1),(71,1),(134,1),(136,1),(345,1),(390,1),(409,1)}
       101:{2,3,5}:{(68,1),(69,1),(127,1),(135,1),(138,1),(350,1),(390,1),(396,1)}
       102:{1,3,4,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(141,1),(206,1),(214,1),(219,1),(230,1),(287,1),(295,1),(297,1),(299,1),(300,1),(394,1)}
       103:{3,6,7}:{(70,1),(71,1),(136,1),(409,1)}
       104:{2,3,6}:{(71,1),(72,1),(77,1),(131,1),(141,1),(409,1),(411,1)}
       105:{1,3,5,7}:{(72,1),(73,1),(78,1),(132,1),(138,1),(141,1),(142,1),(148,1),(410,1)}
       106:{2,4,7}:{(73,1),(139,1),(142,1),(143,1),(353,1)}
       107:{3,5,7}:{(74,1),(75,1),(76,1),(144,1)}
       108:{2,5,6}:{(75,1),(77,1),(144,1),(145,1),(350,1)}
       109:{2,4,6,7}:{(76,1),(77,1),(140,1),(144,1),(146,1),(218,1)}
       110:{1,4,6}:{(77,1),(78,1),(141,1),(145,1),(147,1)}
       111:{2,4,5,7}:{(78,1),(142,1),(147,1),(148,1),(220,1),(226,1),(227,1),(298,1),(304,1),(305,1),(306,1)}
       112:{3,5,6,7}:{(79,1),(83,1),(150,1),(158,1),(231,1),(267,1),(339,1)}
       113:{4,6}:{(79,1),(80,1)}
       114:{3,4,5,7}:{(80,1),(85,1),(151,1),(152,1),(153,1),(189,1),(231,1),(236,1),(270,1),(338,1),(384,1)}
       115:{2,4,5,6}:{(81,1),(84,1),(89,1),(149,1),(154,1),(155,1),(168,1),(186,1),(232,1),(237,1),(260,1),(268,1),(336,1),(385,1)}
       116:{3,5}:{(81,1),(82,1)}
       117:{2,3,4,6}:{(82,1),(86,1),(91,1),(156,1),(157,1),(159,1),(162,1),(181,1),(237,1),(246,1),(264,1),(266,1),(334,1),(379,1)}
       118:{2,4,6,7}:{(83,1),(84,1),(93,1),(150,1),(154,1),(158,1),(171,1),(385,1)}
       119:{3,6}:{(84,1),(85,1)}
       120:{2,3,5,7}:{(85,1),(86,1),(95,1),(152,1),(156,1),(159,1),(160,1),(384,1),(406,1)}
       121:{1,3,4,7}:{(86,1),(96,1),(157,1),(160,1),(161,1),(174,1),(258,1),(312,1),(313,1),(323,1),(370,1),(404,1)}
       122:{1,3,4,5}:{(87,1),(90,1),(98,1),(153,1),(163,1),(164,1),(177,1),(238,1),(247,1),(261,1),(315,1),(328,1),(381,1)}
       123:{2,4}:{(87,1),(88,1),(165,1)}
       124:{1,3,5}:{(88,1),(92,1),(165,1),(166,1),(169,1),(252,1)}
       125:{1,4,5,7}:{(89,1),(93,1),(99,1),(154,1),(167,1),(185,1),(253,1),(259,1),(308,1),(313,1)}
       126:{1,3,5,6}:{(89,1),(90,1),(94,1),(100,1),(155,1),(163,1),(167,1),(168,1),(381,1),(407,1)}
       127:{2,5}:{(90,1),(91,1),(169,1)}
       128:{1,4,6}:{(91,1),(92,1),(96,1),(165,1),(169,1),(172,1)}
       129:{1,2,6}:{(92,1),(97,1),(166,1),(324,1)}
       130:{1,3,6,7}:{(93,1),(94,1),(103,1),(158,1),(167,1),(171,1),(407,1)}
       131:{2,6}:{(94,1),(95,1),(172,1)}
       132:{1,5,7}:{(95,1),(96,1),(169,1),(172,1)}
       133:{1,2,4,7}:{(96,1),(97,1),(106,1),(161,1),(170,1),(173,1),(174,1),(258,1),(375,1),(404,1)}
       134:{3,4,6}:{(98,1),(100,1),(175,1),(176,1),(367,1)}
       135:{2,4,5}:{(98,1),(101,1),(176,1),(177,1),(318,1)}
       136:{3,5,7}:{(99,1),(100,1),(103,1),(175,1),(370,1)}
       137:{2,3,5,6}:{(100,1),(101,1),(104,1),(108,1),(168,1),(176,1),(178,1),(179,1),(246,1)}
       138:{1,3,5}:{(101,1),(102,1),(169,1),(177,1),(180,1),(261,1),(270,1),(332,1),(405,1)}
       139:{2,4,6}:{(102,1),(106,1),(180,1),(181,1),(183,1),(248,1),(264,1),(324,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(109,1),(171,1),(178,1),(182,1)}
       141:{1,3,6}:{(104,1),(105,1),(110,1),(172,1),(183,1),(188,1),(412,1)}
       142:{2,5,7}:{(105,1),(106,1),(180,1),(183,1)}
       143:{2,3,7}:{(106,1),(174,1),(181,1),(333,1)}
       144:{2,5,7}:{(107,1),(108,1),(109,1),(185,1)}
       145:{1,5,6}:{(108,1),(110,1),(185,1),(186,1),(332,1)}
       146:{1,4,6,7}:{(109,1),(110,1),(182,1),(185,1),(187,1),(259,1)}
       147:{2,4,6}:{(110,1),(111,1),(183,1),(186,1),(188,1),(268,1)}
       148:{3,5,7}:{(111,1),(188,1),(189,1),(261,1),(270,1),(333,1)}
       149:{4,5,6}:{(113,1),(190,1),(191,1),(306,1),(365,1)}
       150:{4,6,7}:{(112,1),(113,1),(190,1),(305,1),(365,1)}
       151:{3,4,6}:{(113,1),(114,1),(119,1),(191,1),(193,1),(365,1),(399,1)}
       152:{2,4,5,7}:{(114,1),(120,1),(193,1),(194,1),(196,1),(226,1),(271,1),(276,1),(304,1)}
       153:{3,4,5}:{(116,1),(195,1),(196,1),(300,1),(306,1),(362,1)}
       154:{2,4,5,7}:{(115,1),(118,1),(125,1),(190,1),(197,1),(211,1),(227,1),(271,1),(276,1),(298,1),(305,1)}
       155:{3,5,6}:{(115,1),(116,1),(119,1),(195,1),(197,1),(299,1),(362,1),(399,1)}
       156:{2,3,5}:{(116,1),(117,1),(127,1),(196,1),(199,1),(304,1),(362,1),(396,1)}
       157:{1,3,4,6}:{(117,1),(121,1),(128,1),(199,1),(200,1),(202,1),(206,1),(214,1),(277,1),(287,1),(295,1),(297,1),(343,1),(345,1),(346,1),(394,1)}
       158:{3,6,7}:{(118,1),(119,1),(197,1),(399,1)}
       159:{2,3,6}:{(119,1),(120,1),(131,1),(193,1),(202,1),(399,1),(411,1)}
       160:{1,3,5,7}:{(120,1),(121,1),(132,1),(194,1),(199,1),(202,1),(203,1),(275,1),(410,1)}
       161:{2,4,7}:{(121,1),(200,1),(203,1),(204,1),(353,1)}
       162:{2,3,4}:{(123,1),(205,1),(206,1),(289,1),(300,1),(346,1),(355,1)}
       163:{1,3,4,6}:{(122,1),(126,1),(134,1),(195,1),(207,1),(208,1),(219,1),(277,1),(287,1),(299,1),(345,1)}
       164:{2,4,5}:{(122,1),(123,1),(127,1),(205,1),(208,1),(209,1),(288,1),(355,1),(396,1)}
       165:{1,4}:{(123,1),(124,1)}
       166:{1,2,5}:{(124,1),(129,1),(210,1),(288,1)}
       167:{1,3,5,7}:{(125,1),(126,1),(130,1),(136,1),(197,1),(207,1),(211,1)}
       168:{2,5,6}:{(126,1),(127,1),(131,1),(208,1),(211,1),(212,1),(396,1),(411,1)}
       169:{1,5}:{(127,1),(128,1)}
       170:{1,2,4,6}:{(128,1),(129,1),(133,1),(139,1),(200,1),(210,1),(213,1),(214,1),(216,1),(285,1),(295,1),(297,1),(351,1),(394,1)}
       171:{2,6,7}:{(130,1),(131,1),(211,1),(215,1),(411,1)}
       172:{1,6}:{(131,1),(132,1)}
       173:{1,2,5,7}:{(132,1),(133,1),(142,1),(203,1),(213,1),(216,1),(217,1),(410,1)}
       174:{1,3,7}:{(133,1),(143,1),(204,1),(214,1)}
       175:{3,4,7}:{(134,1),(136,1),(218,1),(386,1)}
       176:{2,4,6}:{(134,1),(135,1),(137,1),(218,1),(219,1)}
       177:{1,4,5}:{(135,1),(138,1),(219,1),(220,1),(295,1),(306,1)}
       178:{2,3,5,7}:{(136,1),(137,1),(140,1),(144,1),(211,1),(218,1),(221,1),(286,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(141,1),(145,1),(212,1),(219,1),(221,1),(222,1),(228,1),(287,1),(299,1)}
       180:{2,5}:{(138,1),(139,1)}
       181:{2,3,6}:{(139,1),(143,1),(214,1),(223,1),(289,1),(299,1)}
       182:{1,3,6,7}:{(140,1),(141,1),(146,1),(215,1),(221,1),(224,1),(229,1)}
       183:{2,6}:{(141,1),(142,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(148,1),(217,1),(223,1),(225,1),(226,1),(304,1)}
       185:{1,5,7}:{(144,1),(145,1),(146,1),(227,1)}
       186:{2,5,6}:{(145,1),(147,1),(227,1),(228,1),(304,1)}
       187:{2,4,6,7}:{(146,1),(147,1),(224,1),(227,1),(229,1),(298,1),(305,1)}
       188:{3,6}:{(147,1),(148,1)}
       189:{3,4,7}:{(148,1),(226,1),(230,1),(300,1),(305,1)}
       190:{4,5,7}:{(149,1),(150,1),(231,1)}
       191:{3,5,6}:{(149,1),(151,1),(231,1),(232,1),(270,1)}
       192:{3,4,6,7}:{(150,1),(151,1),(158,1),(231,1),(233,1),(236,1)}
       193:{2,4,6}:{(151,1),(152,1),(159,1),(232,1),(234,1)}
       194:{1,4,5,7}:{(152,1),(160,1),(234,1),(235,1),(238,1),(258,1),(308,1),(313,1),(332,1)}
       195:{3,4,6}:{(153,1),(155,1),(236,1),(237,1),(268,1)}
       196:{2,4,5}:{(153,1),(156,1),(237,1),(238,1),(264,1)}
       197:{3,5,7}:{(154,1),(155,1),(158,1),(236,1),(333,1)}
       198:{2,3,5,6}:{(155,1),(156,1),(159,1),(168,1),(232,1),(237,1),(239,1),(240,1),(246,1)}
       199:{1,3,5}:{(156,1),(157,1),(169,1),(238,1),(241,1),(315,1),(332,1),(369,1),(405,1)}
       200:{2,4,6}:{(157,1),(161,1),(241,1),(242,1),(244,1),(248,1),(318,1),(324,1)}
       201:{2,3,6,7}:{(158,1),(159,1),(171,1),(233,1),(239,1),(243,1)}
       202:{1,3,6}:{(159,1),(160,1),(172,1),(234,1),(244,1),(311,1),(412,1)}
       203:{2,5,7}:{(160,1),(161,1),(241,1),(244,1)}
       204:{2,3,7}:{(161,1),(174,1),(242,1),(370,1)}
       205:{2,3,5}:{(162,1),(164,1),(246,1),(247,1),(261,1),(315,1)}
       206:{1,3,4}:{(162,1),(165,1),(247,1),(248,1),(252,1),(322,1),(377,1)}
       207:{1,3,4,7}:{(163,1),(167,1),(175,1),(236,1),(249,1),(259,1),(313,1),(323,1),(333,1),(370,1)}
       208:{2,4,6}:{(163,1),(164,1),(168,1),(246,1),(249,1),(250,1),(324,1)}
       209:{1,4,5}:{(164,1),(165,1),(169,1),(247,1),(250,1),(377,1),(405,1)}
       210:{1,2,4}:{(165,1),(166,1),(248,1),(252,1)}
       211:{2,5,7}:{(167,1),(168,1),(171,1),(249,1),(253,1)}
       212:{1,5,6}:{(168,1),(169,1),(172,1),(250,1),(253,1),(405,1),(412,1)}
       213:{1,2,5}:{(169,1),(170,1),(180,1),(241,1),(255,1),(332,1),(405,1)}
       214:{1,3,6}:{(170,1),(174,1),(181,1),(242,1),(252,1),(255,1),(322,1)}
       215:{1,6,7}:{(171,1),(172,1),(253,1),(412,1)}
       216:{1,2,6}:{(172,1),(173,1),(183,1),(244,1),(257,1),(412,1)}
       217:{1,3,5,7}:{(173,1),(174,1),(184,1),(245,1),(255,1),(257,1),(258,1),(332,1)}
       218:{2,4,7}:{(175,1),(176,1),(178,1),(259,1)}
       219:{1,4,6}:{(176,1),(177,1),(179,1),(259,1),(260,1),(268,1)}
       220:{2,4,5}:{(177,1),(180,1),(260,1),(261,1),(264,1)}
       221:{1,3,5,7}:{(178,1),(179,1),(182,1),(185,1),(253,1),(259,1),(262,1),(267,1),(323,1),(333,1)}
       222:{2,5,6}:{(179,1),(180,1),(183,1),(260,1),(262,1),(324,1)}
       223:{2,3,5}:{(180,1),(181,1),(255,1),(261,1),(264,1)}
       224:{2,6,7}:{(182,1),(183,1),(262,1)}
       225:{2,3,6}:{(183,1),(184,1),(188,1),(257,1),(266,1)}
       226:{2,4,7}:{(184,1),(189,1),(258,1),(264,1),(266,1)}
       227:{2,5,7}:{(185,1),(186,1),(187,1),(267,1)}
       228:{3,5,6}:{(186,1),(188,1),(267,1),(268,1),(270,1)}
       229:{3,6,7}:{(187,1),(188,1),(267,1),(333,1)}
       230:{3,4,6}:{(188,1),(189,1),(266,1),(268,1),(270,1)}
       231:{3,5,7}:{(190,1),(191,1),(192,1),(271,1)}
       232:{2,5,6}:{(191,1),(193,1),(271,1),(272,1),(304,1)}
       233:{2,4,6,7}:{(192,1),(193,1),(201,1),(271,1),(273,1),(276,1)}
       234:{1,4,6}:{(193,1),(194,1),(202,1),(272,1),(274,1)}
       235:{2,4,5,7}:{(194,1),(203,1),(274,1),(275,1),(278,1),(284,1),(340,1),(344,1),(350,1),(386,1),(387,1)}
       236:{3,4,7}:{(195,1),(197,1),(276,1),(305,1)}
       237:{2,4,6}:{(195,1),(196,1),(198,1),(276,1),(277,1)}
       238:{1,4,5}:{(196,1),(199,1),(277,1),(278,1),(295,1),(387,1)}
       239:{2,3,5,7}:{(197,1),(198,1),(201,1),(211,1),(271,1),(276,1),(279,1),(286,1)}
       240:{1,3,5,6}:{(198,1),(199,1),(202,1),(212,1),(272,1),(277,1),(279,1),(280,1),(287,1),(341,1),(345,1)}
       241:{2,5}:{(199,1),(200,1)}
       242:{2,3,6}:{(200,1),(204,1),(214,1),(281,1),(289,1),(345,1)}
       243:{1,3,6,7}:{(201,1),(202,1),(215,1),(273,1),(279,1),(282,1),(342,1)}
       244:{2,6}:{(202,1),(203,1)}
       245:{2,3,5,7}:{(203,1),(204,1),(217,1),(275,1),(281,1),(283,1),(284,1),(350,1)}
       246:{2,3,6}:{(205,1),(208,1),(286,1),(287,1),(299,1),(345,1)}
       247:{1,3,5}:{(205,1),(206,1),(209,1),(287,1),(288,1)}
       248:{2,4}:{(206,1),(288,1),(289,1)}
       249:{2,4,7}:{(207,1),(208,1),(211,1),(286,1),(290,1),(353,1)}
       250:{1,4,6}:{(208,1),(209,1),(212,1),(287,1),(290,1)}
       251:{1,2,4,5}:{(209,1),(210,1),(213,1),(220,1),(278,1),(288,1),(291,1),(292,1),(295,1),(355,1),(359,1),(396,1)}
       252:{1,3}:{(210,1),(289,1)}
       253:{1,5,7}:{(211,1),(212,1),(215,1),(290,1)}
       254:{1,2,5,6}:{(212,1),(213,1),(216,1),(222,1),(280,1),(291,1),(293,1),(294,1),(351,1),(396,1),(411,1)}
       255:{1,3,5}:{(213,1),(214,1),(223,1),(281,1),(295,1)}
       256:{1,2,6,7}:{(215,1),(216,1),(224,1),(282,1),(293,1),(296,1),(411,1)}
       257:{1,3,6}:{(216,1),(217,1),(225,1),(283,1),(297,1)}
       258:{1,4,7}:{(217,1),(226,1),(284,1),(295,1),(297,1)}
       259:{1,4,7}:{(218,1),(219,1),(221,1),(298,1),(305,1)}
       260:{2,4,6}:{(219,1),(220,1),(222,1),(298,1),(299,1)}
       261:{3,5}:{(220,1),(299,1),(300,1)}
       262:{2,5,7}:{(221,1),(222,1),(224,1),(298,1),(353,1)}
       263:{2,3,5,6}:{(222,1),(223,1),(225,1),(228,1),(294,1),(299,1),(301,1),(302,1),(304,1),(354,1),(362,1),(364,1),(396,1),(399,1),(411,1)}
       264:{2,4}:{(223,1),(295,1),(300,1)}
       265:{2,3,6,7}:{(224,1),(225,1),(229,1),(296,1),(301,1),(303,1),(399,1),(411,1)}
       266:{2,4,6}:{(225,1),(226,1),(230,1),(297,1),(304,1)}
       267:{3,5,7}:{(227,1),(228,1),(229,1),(305,1)}
       268:{4,6}:{(228,1),(305,1),(306,1)}
       269:{3,4,6,7}:{(229,1),(230,1),(303,1),(305,1),(307,1),(361,1),(365,1),(399,1)}
       270:{3,5}:{(230,1),(304,1),(306,1)}
       271:{2,5,7}:{(231,1),(232,1),(233,1),(308,1)}
       272:{1,5,6}:{(232,1),(234,1),(308,1),(309,1),(332,1)}
       273:{1,4,6,7}:{(233,1),(234,1),(243,1),(308,1),(310,1),(313,1)}
       274:{2,4,6}:{(234,1),(235,1),(244,1),(309,1),(311,1),(367,1)}
       275:{3,5,7}:{(235,1),(311,1),(312,1),(315,1),(369,1),(370,1)}
       276:{2,4,7}:{(236,1),(237,1),(239,1),(313,1)}
       277:{1,4,6}:{(237,1),(238,1),(240,1),(313,1),(314,1),(367,1)}
       278:{2,4,5}:{(238,1),(241,1),(314,1),(315,1),(318,1)}
       279:{1,3,5,7}:{(239,1),(240,1),(243,1),(253,1),(308,1),(313,1),(316,1),(323,1),(366,1),(370,1)}
       280:{2,5,6}:{(240,1),(241,1),(244,1),(314,1),(316,1),(324,1)}
       281:{2,3,5}:{(241,1),(242,1),(255,1),(315,1),(318,1)}
       282:{2,6,7}:{(243,1),(244,1),(316,1)}
       283:{2,3,6}:{(244,1),(245,1),(257,1),(311,1),(320,1)}
       284:{2,4,7}:{(245,1),(258,1),(312,1),(318,1),(320,1)}
       285:{1,2,4}:{(248,1),(321,1),(322,1),(377,1)}
       286:{2,3,7}:{(246,1),(249,1),(323,1),(333,1),(370,1)}
       287:{1,3,6}:{(246,1),(247,1),(250,1),(323,1),(324,1)}
       288:{2,5}:{(247,1),(248,1),(324,1)}
       289:{2,3}:{(248,1),(252,1),(322,1)}
       290:{1,4,7}:{(249,1),(250,1),(253,1),(323,1)}
       291:{1,2,4,6}:{(250,1),(251,1),(254,1),(260,1),(314,1),(324,1),(326,1),(327,1),(330,1),(379,1)}
       292:{1,3,5}:{(251,1),(252,1),(261,1),(315,1),(325,1),(327,1),(328,1)}
       293:{1,2,5,7}:{(253,1),(254,1),(256,1),(262,1),(316,1),(326,1),(329,1),(375,1),(406,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(257,1),(263,1),(317,1),(327,1),(329,1),(330,1),(332,1),(376,1),(381,1),(383,1),(405,1),(407,1),(412,1)}
       295:{1,4}:{(255,1),(264,1),(318,1)}
       296:{1,3,6,7}:{(256,1),(257,1),(265,1),(319,1),(329,1),(331,1),(407,1),(412,1)}
       297:{1,4,6}:{(257,1),(258,1),(266,1),(320,1),(332,1)}
       298:{2,4,7}:{(259,1),(260,1),(262,1),(333,1)}
       299:{3,6}:{(260,1),(261,1),(333,1)}
       300:{3,4}:{(261,1),(264,1)}
       301:{2,3,5,7}:{(262,1),(263,1),(265,1),(267,1),(329,1),(333,1),(335,1),(337,1),(378,1),(384,1),(406,1)}
       302:{2,4,6}:{(263,1),(264,1),(268,1),(330,1),(334,1),(335,1),(336,1)}
       303:{2,4,6,7}:{(265,1),(266,1),(269,1),(331,1),(335,1),(337,1),(385,1)}
       304:{2,5}:{(266,1),(270,1),(332,1)}
       305:{4,7}:{(267,1),(268,1)}
       306:{4,5}:{(268,1),(270,1)}
       307:{3,5,7}:{(269,1),(270,1),(337,1),(338,1),(339,1)}
       308:{1,5,7}:{(271,1),(272,1),(273,1),(340,1)}
       309:{2,5,6}:{(272,1),(274,1),(340,1),(341,1),(350,1)}
       310:{2,4,6,7}:{(273,1),(274,1),(282,1),(340,1),(342,1),(344,1),(386,1)}
       311:{3,6}:{(274,1),(275,1)}
       312:{3,4,7}:{(275,1),(284,1),(343,1),(346,1),(386,1)}
       313:{1,4,7}:{(276,1),(277,1),(279,1),(344,1),(386,1)}
       314:{2,4,6}:{(277,1),(278,1),(280,1),(344,1),(345,1)}
       315:{3,5}:{(278,1),(345,1),(346,1)}
       316:{2,5,7}:{(279,1),(280,1),(282,1),(344,1),(353,1)}
       317:{2,3,5,6}:{(280,1),(281,1),(283,1),(294,1),(341,1),(345,1),(347,1),(348,1),(350,1),(354,1),(390,1),(392,1),(396,1),(409,1),(411,1)}
       318:{2,4}:{(281,1),(295,1),(346,1)}
       319:{2,3,6,7}:{(282,1),(283,1),(296,1),(342,1),(347,1),(349,1),(409,1),(411,1)}
       320:{2,4,6}:{(283,1),(284,1),(297,1),(343,1),(350,1)}
       321:{1,2,5}:{(285,1),(288,1),(351,1),(352,1)}
       322:{1,3}:{(285,1),(289,1)}
       323:{1,3,7}:{(286,1),(287,1),(290,1),(353,1)}
       324:{2,6}:{(287,1),(288,1),(353,1)}
       325:{2,3,5}:{(288,1),(289,1),(292,1),(352,1),(354,1),(355,1),(396,1)}
       326:{1,2,4,7}:{(290,1),(291,1),(293,1),(298,1),(344,1),(353,1),(356,1),(358,1),(395,1)}
       327:{1,3,6}:{(291,1),(292,1),(299,1),(345,1),(354,1),(356,1)}
       328:{1,3,4}:{(292,1),(295,1),(300,1),(346,1),(355,1)}
       329:{1,3,5,7}:{(293,1),(294,1),(296,1),(301,1),(347,1),(356,1),(358,1),(360,1),(393,1),(410,1)}
       330:{1,4,6}:{(294,1),(295,1),(302,1),(348,1),(358,1),(359,1)}
       331:{1,4,6,7}:{(296,1),(297,1),(303,1),(349,1),(358,1),(360,1),(398,1)}
       332:{1,5}:{(297,1),(304,1),(350,1)}
       333:{3,7}:{(298,1),(299,1)}
       334:{3,4,6}:{(299,1),(300,1),(302,1),(361,1),(362,1),(399,1)}
       335:{2,4,7}:{(301,1),(302,1),(305,1),(358,1),(361,1)}
       336:{2,4,5}:{(302,1),(304,1),(306,1),(359,1),(362,1),(396,1)}
       337:{2,5,7}:{(303,1),(304,1),(307,1),(360,1),(364,1)}
       338:{4,5,7}:{(305,1),(306,1),(307,1),(365,1)}
       339:{3,5,6}:{(307,1),(364,1),(365,1),(399,1)}
       340:{2,5,7}:{(308,1),(309,1),(310,1),(366,1)}
       341:{3,5,6}:{(309,1),(311,1),(366,1),(367,1),(369,1)}
       342:{3,6,7}:{(310,1),(311,1),(366,1),(370,1)}
       343:{3,4,6}:{(311,1),(312,1),(320,1),(367,1),(369,1)}
       344:{2,4,7}:{(313,1),(314,1),(316,1),(370,1)}
       345:{3,6}:{(314,1),(315,1),(370,1)}
       346:{3,4}:{(315,1),(318,1)}
       347:{2,3,5,7}:{(316,1),(317,1),(319,1),(329,1),(366,1),(370,1),(372,1),(374,1),(378,1),(402,1),(406,1)}
       348:{2,4,6}:{(317,1),(318,1),(330,1),(367,1),(371,1),(372,1),(373,1)}
       349:{2,4,6,7}:{(319,1),(320,1),(331,1),(368,1),(372,1),(374,1),(403,1)}
       350:{2,5}:{(320,1),(332,1),(369,1)}
       351:{1,2,6}:{(321,1),(324,1),(375,1),(376,1)}
       352:{1,3,5}:{(321,1),(322,1),(325,1),(376,1),(377,1),(405,1)}
       353:{2,7}:{(323,1),(324,1)}
       354:{2,3,6}:{(324,1),(325,1),(327,1),(376,1),(378,1),(379,1)}
       355:{2,4}:{(325,1),(328,1),(377,1)}
       356:{1,3,7}:{(326,1),(327,1),(333,1),(370,1),(378,1)}
       357:{1,3,4,6}:{(327,1),(328,1),(330,1),(334,1),(371,1),(379,1),(380,1),(381,1),(407,1)}
       358:{1,4,7}:{(329,1),(330,1),(335,1),(372,1)}
       359:{1,4,5}:{(330,1),(332,1),(336,1),(373,1),(381,1),(405,1)}
       360:{1,5,7}:{(331,1),(332,1),(337,1),(374,1),(383,1)}
       361:{3,4,7}:{(333,1),(334,1),(335,1),(384,1)}
       362:{3,5}:{(334,1),(336,1)}
       363:{2,4,5,7}:{(335,1),(336,1),(337,1),(338,1),(382,1),(384,1),(385,1),(406,1)}
       364:{2,5,6}:{(337,1),(339,1),(383,1),(385,1)}
       365:{4,6}:{(338,1),(339,1)}
       366:{3,5,7}:{(340,1),(341,1),(342,1),(386,1)}
       367:{4,6}:{(341,1),(386,1),(387,1)}
       368:{3,4,6,7}:{(342,1),(343,1),(349,1),(386,1),(388,1),(389,1),(408,1),(409,1)}
       369:{3,5}:{(343,1),(350,1),(387,1)}
       370:{3,7}:{(344,1),(345,1)}
       371:{3,4,6}:{(345,1),(346,1),(348,1),(389,1),(390,1),(409,1)}
       372:{2,4,7}:{(347,1),(348,1),(358,1),(386,1),(389,1)}
       373:{2,4,5}:{(348,1),(350,1),(359,1),(387,1),(390,1),(396,1)}
       374:{2,5,7}:{(349,1),(350,1),(360,1),(388,1),(392,1)}
       375:{1,2,7}:{(351,1),(353,1),(393,1)}
       376:{1,3,6}:{(351,1),(352,1),(354,1),(393,1),(394,1)}
       377:{1,4}:{(352,1),(355,1)}
       378:{2,3,7}:{(353,1),(354,1),(356,1),(393,1),(395,1)}
       379:{2,4,6}:{(354,1),(355,1),(357,1),(394,1),(395,1),(396,1),(411,1)}
       380:{1,3,4,7}:{(356,1),(357,1),(358,1),(361,1),(389,1),(395,1),(397,1)}
       381:{1,3,5}:{(357,1),(359,1),(362,1),(390,1),(396,1)}
       382:{1,4,5,7}:{(358,1),(359,1),(360,1),(363,1),(391,1),(397,1),(398,1),(410,1)}
       383:{1,5,6}:{(360,1),(364,1),(392,1),(398,1)}
       384:{3,5,7}:{(361,1),(362,1),(363,1),(399,1)}
       385:{2,4,6}:{(363,1),(364,1),(365,1),(398,1),(399,1),(411,1)}
       386:{4,7}:{(366,1),(367,1)}
       387:{4,5}:{(367,1),(369,1)}
       388:{3,5,7}:{(368,1),(369,1),(374,1),(400,1),(401,1)}
       389:{3,4,7}:{(370,1),(371,1),(372,1),(402,1)}
       390:{3,5}:{(371,1),(373,1)}
       391:{2,4,5,7}:{(372,1),(373,1),(374,1),(382,1),(400,1),(402,1),(403,1),(406,1)}
       392:{2,5,6}:{(374,1),(383,1),(401,1),(403,1)}
       393:{1,3,7}:{(375,1),(376,1),(378,1),(404,1)}
       394:{1,4,6}:{(376,1),(377,1),(379,1),(404,1),(405,1),(412,1)}
       395:{2,4,7}:{(378,1),(379,1),(380,1),(404,1),(406,1)}
       396:{2,5}:{(379,1),(381,1),(405,1)}
       397:{1,3,5,7}:{(380,1),(381,1),(382,1),(384,1),(402,1),(406,1),(407,1)}
       398:{1,4,6}:{(382,1),(383,1),(385,1),(403,1),(407,1),(412,1)}
       399:{3,6}:{(384,1),(385,1)}
       400:{4,5,7}:{(386,1),(387,1),(388,1),(408,1)}
       401:{3,5,6}:{(388,1),(392,1),(408,1),(409,1)}
       402:{3,5,7}:{(389,1),(390,1),(391,1),(409,1)}
       403:{2,4,6}:{(391,1),(392,1),(398,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(393,1),(394,1),(395,1),(410,1)}
       405:{1,5}:{(394,1),(396,1)}
       406:{2,5,7}:{(395,1),(396,1),(397,1),(410,1),(411,1)}
       407:{1,3,6}:{(397,1),(398,1),(399,1),(409,1),(411,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(406,1),(412,1)}
       411:{2,6}:{(406,1),(407,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

1112 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(17,1),(26,1),(62,1),(161,1),(183,1),(190,1),(274,1),(286,1),(293,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(36,1),(40,1),(51,1),(118,1),(124,1),(132,1),(238,1),(245,1),(251,1),(252,1),(352,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(333,1),(346,1),(349,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(43,1),(107,1),(223,1),(246,1),(336,1),(353,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(19,1),(60,1),(69,1),(83,1),(180,1),(192,1),(277,1),(284,1),(293,1)}
         5:{2,3,5,6}:{(2,1),(16,1),(17,1),(18,1),(26,1),(28,1),(91,1),(94,1),(183,1)}
         6:{2,4,6}:{(1,1),(19,1),(20,1),(21,1),(83,1),(87,1),(308,1),(311,1)}
         7:{1,3,5}:{(1,1),(2,1),(20,1),(22,1),(85,1),(299,1),(312,1),(402,1)}
         8:{1,3,4,7}:{(1,1),(3,1),(21,1),(23,1),(72,1),(79,1),(176,1),(184,1),(191,1),(309,1),(407,1)}
         9:{2,4,5}:{(2,1),(17,1),(22,1),(24,1),(161,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(23,1),(25,1),(26,1),(390,1),(403,1)}
        11:{2,4,5,6}:{(17,1),(27,1),(28,1),(29,1),(91,1),(94,1),(196,1),(273,1),(317,1),(391,1),(488,1),(528,1)}
        12:{1,3,4,6}:{(4,1),(31,1),(32,1),(33,1),(36,1),(101,1),(112,1),(118,1),(214,1),(222,1),(238,1),(338,1),(344,1),(345,1),(352,1)}
        13:{2,3,5}:{(4,1),(32,1),(34,1),(240,1),(253,1),(349,1)}
        14:{2,3,4,7}:{(4,1),(33,1),(35,1),(46,1),(104,1),(133,1),(243,1),(339,1),(353,1)}
        15:{1,2,4,6}:{(6,1),(31,1),(36,1),(37,1),(38,1),(118,1),(121,1),(238,1),(352,1),(355,1),(357,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(39,1),(40,1),(41,1),(51,1),(124,1),(139,1),(145,1),(245,1),(255,1)}
        17:{2,4,6}:{(5,1),(9,1),(40,1),(42,1),(43,1)}
        18:{2,3,5,7}:{(5,1),(41,1),(43,1),(44,1),(57,1),(131,1),(146,1),(246,1)}
        19:{2,3,6}:{(6,1),(36,1),(45,1),(46,1),(124,1),(367,1)}
        20:{2,5}:{(6,1),(7,1)}
        21:{2,4,7}:{(6,1),(8,1),(46,1),(48,1),(365,1)}
        22:{1,4,5}:{(7,1),(9,1),(40,1),(47,1),(118,1),(368,1)}
        23:{1,3,5,7}:{(7,1),(8,1),(10,1),(48,1),(50,1),(51,1),(136,1),(447,1)}
        24:{3,4,5}:{(9,1),(42,1),(222,1),(333,1),(539,1)}
        25:{2,4,5,7}:{(9,1),(10,1),(43,1),(50,1),(52,1),(53,1),(131,1),(223,1),(346,1)}
        26:{2,3,6}:{(10,1),(51,1),(53,1),(437,1),(448,1)}
        27:{1,4,5,6}:{(11,1),(40,1),(54,1),(55,1),(56,1),(139,1),(145,1),(231,1),(258,1),(351,1),(459,1)}
        28:{3,5,6}:{(11,1),(42,1),(57,1),(333,1),(373,1),(437,1)}
        29:{2,4,5,7}:{(11,1),(43,1),(56,1),(57,1),(58,1),(131,1),(146,1),(250,1),(374,1),(461,1),(512,1)}
        30:{2,3,5,6}:{(13,1),(59,1),(60,1),(61,1),(69,1),(151,1),(169,1),(268,1),(277,1)}
        31:{2,4,6}:{(12,1),(62,1),(63,1),(64,1),(161,1),(165,1),(396,1),(399,1)}
        32:{1,3,5}:{(12,1),(13,1),(63,1),(65,1),(163,1),(299,1),(400,1),(402,1)}
        33:{1,3,4,7}:{(12,1),(14,1),(64,1),(66,1),(72,1),(157,1),(176,1),(278,1),(285,1),(397,1),(407,1)}
        34:{2,4,5}:{(13,1),(60,1),(65,1),(67,1),(83,1)}
        35:{2,3,5,7}:{(13,1),(14,1),(66,1),(68,1),(69,1),(302,1),(403,1)}
        36:{1,3,6}:{(15,1),(19,1),(62,1),(71,1),(72,1),(409,1)}
        37:{1,2,5}:{(15,1),(20,1),(63,1),(71,1),(299,1),(402,1)}
        38:{1,2,4,7}:{(15,1),(21,1),(64,1),(72,1),(74,1),(176,1),(407,1),(408,1)}
        39:{2,5,6}:{(16,1),(20,1),(76,1),(77,1),(87,1),(308,1)}
        40:{1,4,6}:{(16,1),(17,1),(22,1),(76,1),(79,1),(313,1)}
        41:{1,3,5,7}:{(16,1),(18,1),(77,1),(79,1),(80,1),(184,1),(188,1),(204,1),(309,1),(310,1)}
        42:{3,4,6}:{(17,1),(24,1),(28,1),(81,1),(528,1)}
        43:{2,4,7}:{(17,1),(18,1),(79,1),(81,1)}
        44:{2,3,6,7}:{(18,1),(26,1),(80,1),(82,1),(97,1),(205,1)}
        45:{2,3,5}:{(19,1),(20,1),(71,1),(83,1),(85,1)}
        46:{2,3,7}:{(19,1),(21,1),(72,1),(184,1)}
        47:{2,4,5}:{(20,1),(22,1),(76,1),(83,1),(85,1)}
        48:{2,5,7}:{(20,1),(21,1),(23,1),(87,1)}
        49:{1,3,4,5}:{(22,1),(24,1),(78,1),(85,1),(88,1),(175,1),(193,1),(197,1),(291,1),(314,1),(417,1)}
        50:{1,4,5,7}:{(22,1),(23,1),(25,1),(79,1),(86,1),(89,1),(176,1),(188,1),(299,1)}
        51:{1,3,6}:{(23,1),(26,1),(87,1),(89,1),(194,1),(481,1)}
        52:{3,4,5,7}:{(24,1),(25,1),(81,1),(90,1),(189,1),(285,1),(390,1),(400,1),(478,1)}
        53:{2,4,6}:{(25,1),(26,1),(89,1),(90,1),(91,1)}
        54:{2,4,5,6}:{(27,1),(76,1),(92,1),(93,1),(94,1),(179,1),(195,1),(198,1),(303,1),(313,1),(420,1),(421,1)}
        55:{1,3,5,6}:{(27,1),(28,1),(78,1),(92,1),(94,1),(95,1),(291,1),(404,1)}
        56:{1,4,5,7}:{(27,1),(29,1),(79,1),(93,1),(95,1),(96,1),(188,1),(204,1),(318,1),(424,1)}
        57:{3,5,7}:{(28,1),(29,1),(81,1),(97,1),(422,1)}
        58:{2,4,6,7}:{(29,1),(96,1),(97,1),(98,1),(205,1),(206,1),(391,1)}
        59:{1,3,5,6}:{(30,1),(32,1),(100,1),(101,1),(102,1),(112,1),(214,1),(229,1),(328,1),(338,1),(348,1)}
        60:{2,4,6}:{(30,1),(34,1),(101,1),(103,1),(104,1)}
        61:{2,3,5,7}:{(30,1),(102,1),(104,1),(105,1),(210,1),(221,1),(329,1),(339,1)}
        62:{2,3,6}:{(31,1),(36,1),(106,1),(107,1),(214,1),(444,1)}
        63:{2,5}:{(31,1),(32,1)}
        64:{2,4,7}:{(31,1),(33,1),(107,1),(109,1),(442,1)}
        65:{1,4,5}:{(32,1),(34,1),(101,1),(108,1),(118,1),(445,1)}
        66:{1,3,5,7}:{(32,1),(33,1),(35,1),(109,1),(111,1),(112,1),(226,1),(447,1)}
        67:{3,4,5}:{(34,1),(103,1),(132,1),(240,1),(552,1)}
        68:{2,4,5,7}:{(34,1),(35,1),(104,1),(111,1),(113,1),(114,1),(133,1),(221,1),(253,1)}
        69:{2,3,6}:{(35,1),(112,1),(114,1),(360,1),(448,1)}
        70:{1,2,5,6}:{(37,1),(39,1),(100,1),(115,1),(116,1),(117,1),(121,1),(145,1),(261,1),(328,1),(349,1),(355,1),(430,1),(446,1),(448,1),(507,1)}
        71:{1,3,5}:{(36,1),(37,1),(45,1),(106,1),(118,1)}
        72:{1,3,7}:{(36,1),(38,1),(46,1),(107,1)}
        73:{1,2,4,5}:{(37,1),(47,1),(108,1),(116,1),(118,1),(120,1),(138,1),(228,1),(231,1),(237,1),(254,1),(347,1),(349,1),(357,1),(369,1),(446,1),(490,1),(505,1)}
        74:{1,2,5,7}:{(37,1),(38,1),(48,1),(109,1),(119,1),(121,1),(447,1)}
        75:{2,3,5,6}:{(39,1),(45,1),(115,1),(122,1),(123,1),(124,1),(134,1),(235,1),(240,1),(253,1),(255,1),(349,1),(360,1),(361,1),(430,1),(448,1),(494,1),(500,1),(536,1),(547,1),(549,1)}
        76:{2,4,6}:{(39,1),(40,1),(47,1),(124,1),(125,1)}
        77:{2,5,7}:{(39,1),(41,1),(125,1),(126,1),(365,1)}
        78:{1,3,4,6}:{(40,1),(42,1),(49,1),(55,1),(124,1),(127,1),(128,1),(141,1),(245,1),(258,1),(373,1)}
        79:{1,4,7}:{(40,1),(41,1),(43,1),(125,1),(366,1)}
        80:{1,3,6,7}:{(41,1),(44,1),(51,1),(126,1),(129,1),(247,1),(265,1)}
        81:{3,4,7}:{(42,1),(43,1),(57,1),(512,1)}
        82:{2,4,6,7}:{(43,1),(44,1),(53,1),(129,1),(130,1),(131,1)}
        83:{2,4}:{(45,1),(118,1),(132,1)}
        84:{2,3,5,7}:{(45,1),(46,1),(48,1),(119,1),(133,1),(134,1),(136,1),(253,1)}
        85:{3,5}:{(47,1),(124,1),(132,1)}
        86:{2,4,5,7}:{(47,1),(48,1),(50,1),(125,1),(133,1),(136,1),(137,1),(248,1),(253,1),(366,1),(368,1)}
        87:{2,6}:{(48,1),(51,1)}
        88:{2,4,5}:{(49,1),(127,1),(135,1),(138,1),(237,1),(254,1),(349,1)}
        89:{1,4,6}:{(50,1),(51,1),(53,1),(137,1),(139,1)}
        90:{3,4,6}:{(52,1),(53,1),(140,1),(437,1),(503,1)}
        91:{2,5,6}:{(53,1),(131,1),(139,1),(140,1),(346,1)}
        92:{3,5,6}:{(54,1),(124,1),(141,1),(143,1),(240,1),(360,1)}
        93:{2,4,5,7}:{(54,1),(56,1),(125,1),(143,1),(144,1),(146,1),(248,1),(259,1),(366,1),(376,1),(377,1)}
        94:{2,5,6}:{(55,1),(127,1),(145,1),(146,1),(349,1),(448,1)}
        95:{1,3,5,7}:{(55,1),(56,1),(57,1),(128,1),(143,1),(146,1),(147,1)}
        96:{1,4,6,7}:{(56,1),(58,1),(144,1),(147,1),(148,1),(265,1),(351,1)}
        97:{3,6,7}:{(57,1),(58,1),(437,1)}
        98:{2,5,6,7}:{(58,1),(131,1),(148,1),(149,1),(438,1),(461,1)}
        99:{2,4,5,6}:{(60,1),(150,1),(151,1),(152,1),(169,1),(179,1),(268,1),(290,1),(303,1),(465,1),(542,1),(551,1)}
       100:{2,5,6}:{(59,1),(63,1),(154,1),(155,1),(165,1),(396,1)}
       101:{1,4,6}:{(59,1),(60,1),(65,1),(154,1),(157,1),(401,1)}
       102:{1,3,5,7}:{(59,1),(61,1),(155,1),(157,1),(158,1),(278,1),(282,1),(386,1),(397,1),(398,1)}
       103:{3,4,6}:{(60,1),(67,1),(151,1),(159,1),(551,1)}
       104:{2,4,7}:{(60,1),(61,1),(157,1),(159,1)}
       105:{2,3,6,7}:{(61,1),(69,1),(158,1),(160,1),(271,1),(387,1)}
       106:{2,3,5}:{(62,1),(63,1),(71,1),(161,1),(163,1)}
       107:{2,3,7}:{(62,1),(64,1),(72,1),(278,1)}
       108:{2,4,5}:{(63,1),(65,1),(154,1),(161,1),(163,1)}
       109:{2,5,7}:{(63,1),(64,1),(66,1),(165,1)}
       110:{1,3,4,5}:{(65,1),(67,1),(156,1),(163,1),(166,1),(175,1),(287,1),(291,1),(379,1),(462,1),(513,1)}
       111:{1,4,5,7}:{(65,1),(66,1),(68,1),(157,1),(164,1),(167,1),(176,1),(282,1),(299,1)}
       112:{1,3,6}:{(66,1),(69,1),(165,1),(167,1),(288,1),(481,1)}
       113:{3,4,5,7}:{(67,1),(68,1),(159,1),(168,1),(191,1),(283,1),(302,1),(312,1),(416,1)}
       114:{2,4,6}:{(68,1),(69,1),(167,1),(168,1),(169,1)}
       115:{1,3,5,6}:{(70,1),(71,1),(75,1),(153,1),(170,1),(171,1),(172,1),(177,1),(291,1),(296,1),(299,1),(402,1),(404,1),(405,1),(479,1),(481,1),(525,1),(545,1)}
       116:{1,2,4,6}:{(70,1),(73,1),(76,1),(154,1),(170,1),(172,1),(173,1),(186,1),(280,1),(293,1),(308,1),(317,1),(396,1),(465,1)}
       117:{1,2,5,7}:{(70,1),(77,1),(155,1),(171,1),(173,1),(174,1),(204,1),(321,1),(386,1),(403,1),(408,1),(469,1)}
       118:{1,4}:{(71,1),(83,1),(161,1)}
       119:{1,3,5,7}:{(71,1),(72,1),(74,1),(84,1),(162,1),(176,1),(177,1),(299,1)}
       120:{1,3,5}:{(73,1),(85,1),(163,1),(172,1),(175,1),(178,1),(409,1),(417,1),(513,1)}
       121:{1,2,6}:{(74,1),(87,1),(165,1),(177,1),(481,1)}
       122:{2,4,6}:{(75,1),(83,1),(170,1),(179,1),(180,1),(181,1),(313,1),(521,1),(551,1)}
       123:{2,3,5,7}:{(75,1),(77,1),(171,1),(181,1),(182,1),(184,1),(297,1),(302,1),(307,1),(310,1),(403,1),(469,1),(518,1),(543,1)}
       124:{3,6}:{(76,1),(85,1),(184,1)}
       125:{2,4,7}:{(76,1),(77,1),(79,1),(184,1)}
       126:{2,6,7}:{(77,1),(80,1),(87,1)}
       127:{2,4,6}:{(78,1),(88,1),(94,1),(183,1),(186,1),(187,1),(308,1)}
       128:{1,3,4,7}:{(78,1),(79,1),(81,1),(95,1),(184,1),(187,1),(199,1),(309,1),(318,1),(422,1)}
       129:{1,4,6,7}:{(79,1),(80,1),(82,1),(89,1),(185,1),(188,1)}
       130:{3,4,6,7}:{(81,1),(82,1),(90,1),(97,1),(189,1),(206,1)}
       131:{2,5,7}:{(82,1),(91,1),(188,1),(189,1)}
       132:{3,4}:{(83,1),(85,1)}
       133:{2,4,7}:{(83,1),(84,1),(176,1),(191,1),(192,1)}
       134:{2,3,6}:{(84,1),(87,1),(177,1),(192,1),(194,1)}
       135:{2,3,5}:{(85,1),(88,1),(183,1),(190,1),(193,1),(417,1)}
       136:{3,5,7}:{(85,1),(86,1),(184,1),(191,1),(194,1),(312,1)}
       137:{2,4,6}:{(86,1),(87,1),(89,1),(194,1),(195,1),(313,1)}
       138:{1,4,5}:{(88,1),(186,1),(193,1),(298,1),(402,1)}
       139:{1,5,6}:{(89,1),(91,1),(188,1),(195,1),(299,1)}
       140:{3,5,6}:{(90,1),(91,1),(189,1),(196,1),(400,1)}
       141:{3,4,6}:{(92,1),(197,1),(198,1),(199,1),(313,1)}
       142:{2,3,5,6}:{(92,1),(94,1),(183,1),(198,1),(200,1),(201,1),(301,1),(412,1),(420,1)}
       143:{3,5,7}:{(92,1),(93,1),(184,1),(199,1),(202,1)}
       144:{2,4,6,7}:{(93,1),(96,1),(202,1),(203,1),(205,1),(303,1),(323,1)}
       145:{1,5,6}:{(94,1),(186,1),(204,1),(402,1),(481,1)}
       146:{2,5,7}:{(94,1),(95,1),(187,1),(204,1),(205,1)}
       147:{1,3,6,7}:{(95,1),(96,1),(97,1),(202,1),(205,1),(404,1)}
       148:{1,5,6,7}:{(96,1),(98,1),(188,1),(203,1),(405,1),(424,1)}
       149:{3,5,6,7}:{(97,1),(98,1),(189,1),(206,1),(475,1),(489,1)}
       150:{1,4,5,6}:{(99,1),(101,1),(207,1),(208,1),(209,1),(229,1),(231,1),(328,1),(351,1),(427,1),(532,1)}
       151:{3,5,6}:{(99,1),(103,1),(210,1),(240,1),(360,1),(494,1)}
       152:{2,4,5,7}:{(99,1),(104,1),(209,1),(210,1),(211,1),(221,1),(329,1),(343,1),(495,1),(534,1),(548,1)}
       153:{2,3,5,6}:{(100,1),(106,1),(115,1),(212,1),(213,1),(214,1),(224,1),(235,1),(261,1),(333,1),(346,1),(348,1),(349,1),(373,1),(437,1),(438,1),(448,1),(451,1),(509,1),(511,1),(538,1)}
       154:{2,4,6}:{(100,1),(101,1),(108,1),(214,1),(215,1)}
       155:{2,5,7}:{(100,1),(102,1),(215,1),(216,1),(442,1)}
       156:{1,3,4,6}:{(101,1),(103,1),(110,1),(208,1),(214,1),(217,1),(218,1),(324,1),(338,1),(427,1),(494,1)}
       157:{1,4,7}:{(101,1),(102,1),(104,1),(215,1),(443,1)}
       158:{1,3,6,7}:{(102,1),(105,1),(112,1),(216,1),(219,1),(340,1),(434,1)}
       159:{3,4,7}:{(103,1),(104,1),(210,1),(548,1)}
       160:{2,4,6,7}:{(104,1),(105,1),(114,1),(219,1),(220,1),(221,1)}
       161:{2,4}:{(106,1),(118,1),(222,1)}
       162:{2,3,5,7}:{(106,1),(107,1),(109,1),(119,1),(223,1),(224,1),(226,1),(346,1)}
       163:{3,5}:{(108,1),(214,1),(222,1)}
       164:{2,4,5,7}:{(108,1),(109,1),(111,1),(215,1),(223,1),(226,1),(227,1),(341,1),(346,1),(443,1),(445,1)}
       165:{2,6}:{(109,1),(112,1)}
       166:{2,4,5}:{(110,1),(217,1),(225,1),(228,1),(237,1),(347,1),(349,1)}
       167:{1,4,6}:{(111,1),(112,1),(114,1),(227,1),(229,1)}
       168:{3,4,6}:{(113,1),(114,1),(230,1),(360,1),(454,1)}
       169:{2,5,6}:{(114,1),(221,1),(229,1),(230,1),(253,1)}
       170:{1,4,6}:{(115,1),(118,1),(122,1),(212,1),(231,1),(233,1),(505,1)}
       171:{1,3,5,7}:{(115,1),(117,1),(123,1),(213,1),(233,1),(234,1),(236,1),(354,1),(356,1),(447,1)}
       172:{1,3,6}:{(116,1),(120,1),(124,1),(214,1),(235,1),(236,1),(373,1),(494,1)}
       173:{1,2,4,7}:{(116,1),(117,1),(125,1),(215,1),(233,1),(236,1),(249,1),(342,1),(353,1),(365,1),(374,1),(442,1),(495,1)}
       174:{1,2,6,7}:{(117,1),(121,1),(126,1),(216,1),(234,1),(265,1),(378,1),(434,1),(448,1),(499,1),(507,1)}
       175:{1,3,4}:{(118,1),(120,1),(132,1),(222,1),(237,1),(456,1),(505,1),(529,1)}
       176:{1,4,7}:{(118,1),(119,1),(133,1),(223,1),(238,1)}
       177:{1,3,6}:{(119,1),(121,1),(134,1),(224,1),(238,1)}
       178:{2,3,5}:{(120,1),(235,1),(237,1),(239,1),(254,1),(347,1),(349,1),(367,1),(444,1)}
       179:{2,4,5}:{(122,1),(231,1),(240,1),(253,1),(349,1),(368,1),(549,1),(552,1)}
       180:{3,4,6}:{(122,1),(124,1),(132,1),(240,1),(243,1),(360,1),(494,1),(529,1)}
       181:{2,4,7}:{(122,1),(123,1),(233,1),(243,1),(366,1),(548,1)}
       182:{2,3,6,7}:{(123,1),(126,1),(134,1),(234,1),(244,1),(247,1),(360,1),(448,1),(499,1),(533,1),(536,1)}
       183:{2,3,6}:{(124,1),(127,1),(135,1),(245,1),(246,1),(373,1)}
       184:{3,7}:{(124,1),(125,1)}
       185:{2,4,6,7}:{(125,1),(126,1),(129,1),(137,1),(247,1),(248,1),(366,1)}
       186:{1,4,6}:{(127,1),(138,1),(145,1),(245,1),(249,1)}
       187:{2,4,7}:{(127,1),(128,1),(146,1),(246,1),(249,1),(365,1)}
       188:{1,5,7}:{(129,1),(131,1),(139,1),(248,1)}
       189:{3,5,7}:{(130,1),(131,1),(140,1),(250,1)}
       190:{2,3,4}:{(132,1),(135,1),(237,1),(251,1),(444,1),(456,1)}
       191:{3,4,7}:{(132,1),(133,1),(136,1),(252,1),(366,1)}
       192:{2,4,6}:{(133,1),(134,1),(238,1),(252,1),(253,1)}
       193:{1,3,5}:{(135,1),(138,1),(245,1),(251,1),(254,1)}
       194:{3,6}:{(136,1),(137,1)}
       195:{2,5,6}:{(137,1),(139,1),(248,1),(253,1),(255,1)}
       196:{4,5,6}:{(140,1),(250,1),(445,1),(503,1)}
       197:{3,4,5}:{(141,1),(240,1),(256,1),(368,1),(529,1)}
       198:{2,4,6}:{(141,1),(142,1),(256,1),(258,1),(259,1)}
       199:{3,4,7}:{(141,1),(143,1),(259,1),(366,1)}
       200:{1,3,5,6}:{(142,1),(145,1),(245,1),(258,1),(261,1),(262,1),(358,1),(373,1),(453,1),(459,1),(511,1)}
       201:{2,3,5,7}:{(142,1),(143,1),(146,1),(246,1),(259,1),(262,1),(263,1),(376,1)}
       202:{3,6,7}:{(143,1),(144,1),(360,1)}
       203:{2,5,6,7}:{(144,1),(148,1),(248,1),(264,1),(361,1),(376,1)}
       204:{1,5,7}:{(145,1),(146,1),(249,1),(265,1)}
       205:{2,6,7}:{(146,1),(147,1),(265,1),(448,1)}
       206:{4,6,7}:{(149,1),(250,1),(503,1),(512,1)}
       207:{2,4,5,6}:{(150,1),(154,1),(266,1),(267,1),(268,1),(273,1),(289,1),(380,1),(391,1),(401,1),(516,1),(517,1)}
       208:{1,3,5,6}:{(150,1),(151,1),(156,1),(266,1),(268,1),(269,1),(291,1),(404,1)}
       209:{1,4,5,7}:{(150,1),(152,1),(157,1),(267,1),(269,1),(270,1),(282,1),(386,1),(466,1),(520,1)}
       210:{3,5,7}:{(151,1),(152,1),(159,1),(271,1),(518,1)}
       211:{2,4,6,7}:{(152,1),(270,1),(271,1),(272,1),(303,1),(387,1),(388,1)}
       212:{2,4,6}:{(153,1),(161,1),(170,1),(273,1),(274,1),(275,1),(401,1),(483,1),(528,1)}
       213:{2,3,5,7}:{(153,1),(155,1),(171,1),(275,1),(276,1),(278,1),(297,1),(321,1),(390,1),(395,1),(398,1),(403,1),(422,1),(489,1)}
       214:{3,6}:{(154,1),(163,1),(278,1)}
       215:{2,4,7}:{(154,1),(155,1),(157,1),(278,1)}
       216:{2,6,7}:{(155,1),(158,1),(165,1)}
       217:{2,4,6}:{(156,1),(166,1),(268,1),(277,1),(280,1),(281,1),(396,1)}
       218:{1,3,4,7}:{(156,1),(157,1),(159,1),(269,1),(278,1),(281,1),(381,1),(397,1),(466,1),(518,1)}
       219:{1,4,6,7}:{(157,1),(158,1),(160,1),(167,1),(279,1),(282,1)}
       220:{3,4,6,7}:{(159,1),(160,1),(168,1),(271,1),(283,1),(388,1)}
       221:{2,5,7}:{(160,1),(169,1),(282,1),(283,1)}
       222:{3,4}:{(161,1),(163,1)}
       223:{2,4,7}:{(161,1),(162,1),(176,1),(285,1),(286,1)}
       224:{2,3,6}:{(162,1),(165,1),(177,1),(286,1),(288,1)}
       225:{2,3,5}:{(163,1),(166,1),(277,1),(284,1),(287,1),(513,1)}
       226:{3,5,7}:{(163,1),(164,1),(278,1),(285,1),(288,1),(400,1)}
       227:{2,4,6}:{(164,1),(165,1),(167,1),(288,1),(289,1),(401,1)}
       228:{1,4,5}:{(166,1),(280,1),(287,1),(298,1),(402,1)}
       229:{1,5,6}:{(167,1),(169,1),(282,1),(289,1),(299,1)}
       230:{3,5,6}:{(168,1),(169,1),(283,1),(290,1),(312,1)}
       231:{1,4,5}:{(170,1),(179,1),(273,1),(291,1),(299,1),(402,1),(545,1)}
       232:{1,3,4,6}:{(170,1),(172,1),(175,1),(180,1),(274,1),(291,1),(293,1),(294,1),(404,1)}
       233:{1,4,7}:{(170,1),(171,1),(181,1),(275,1)}
       234:{1,3,6,7}:{(171,1),(174,1),(177,1),(182,1),(276,1),(295,1),(404,1),(481,1),(525,1)}
       235:{2,3,6}:{(172,1),(178,1),(293,1),(296,1),(297,1),(308,1),(396,1)}
       236:{1,3,7}:{(172,1),(173,1),(184,1),(278,1),(297,1),(422,1),(518,1)}
       237:{2,4}:{(175,1),(178,1),(298,1)}
       238:{1,4,6}:{(176,1),(177,1),(192,1),(286,1),(299,1)}
       239:{1,3,5}:{(178,1),(296,1),(298,1),(300,1),(402,1),(409,1)}
       240:{3,5}:{(179,1),(180,1)}
       241:{2,4,5,7}:{(179,1),(181,1),(292,1),(302,1),(303,1),(307,1),(403,1),(416,1)}
       242:{2,3,4,6}:{(180,1),(183,1),(190,1),(198,1),(293,1),(301,1),(304,1),(305,1),(412,1),(476,1),(521,1),(544,1)}
       243:{3,4,7}:{(180,1),(181,1),(184,1),(302,1),(518,1)}
       244:{2,4,6,7}:{(181,1),(182,1),(192,1),(295,1),(303,1),(306,1),(307,1),(544,1)}
       245:{1,3,6}:{(183,1),(186,1),(193,1),(308,1),(309,1)}
       246:{2,3,7}:{(183,1),(184,1),(187,1),(309,1),(422,1)}
       247:{3,6,7}:{(184,1),(185,1),(194,1),(310,1)}
       248:{2,5,7}:{(185,1),(188,1),(195,1),(310,1)}
       249:{1,4,7}:{(186,1),(187,1),(204,1),(309,1)}
       250:{4,5,7}:{(189,1),(196,1),(206,1)}
       251:{1,3,4}:{(190,1),(193,1),(298,1),(311,1),(409,1)}
       252:{3,4,6}:{(191,1),(192,1),(194,1),(312,1),(313,1)}
       253:{2,5}:{(192,1),(299,1),(312,1)}
       254:{2,5}:{(193,1),(308,1),(311,1)}
       255:{3,5,6}:{(194,1),(195,1),(310,1),(312,1),(313,1)}
       256:{2,4,5}:{(197,1),(198,1),(301,1),(314,1),(521,1)}
       257:{3,4,5,7}:{(197,1),(199,1),(302,1),(315,1),(316,1),(320,1),(416,1),(540,1),(550,1)}
       258:{1,4,6}:{(198,1),(200,1),(314,1),(317,1),(318,1),(528,1)}
       259:{2,4,7}:{(198,1),(199,1),(201,1),(318,1)}
       260:{3,4,6,7}:{(199,1),(202,1),(316,1),(319,1),(320,1),(323,1)}
       261:{2,5,6}:{(200,1),(308,1),(317,1),(321,1),(410,1),(485,1)}
       262:{1,3,5,7}:{(200,1),(201,1),(204,1),(309,1),(318,1),(321,1),(322,1),(422,1),(424,1),(489,1)}
       263:{2,3,6,7}:{(201,1),(202,1),(205,1),(319,1),(322,1),(412,1)}
       264:{3,5,6,7}:{(202,1),(203,1),(310,1),(320,1),(323,1),(413,1)}
       265:{1,6,7}:{(204,1),(205,1),(481,1)}
       266:{3,5,6}:{(207,1),(214,1),(324,1),(326,1),(333,1),(437,1)}
       267:{2,4,5,7}:{(207,1),(209,1),(215,1),(326,1),(327,1),(329,1),(341,1),(428,1),(443,1),(497,1),(498,1)}
       268:{2,5,6}:{(208,1),(217,1),(328,1),(329,1),(349,1),(448,1)}
       269:{1,3,5,7}:{(208,1),(209,1),(210,1),(218,1),(326,1),(329,1),(330,1)}
       270:{1,4,6,7}:{(209,1),(211,1),(327,1),(330,1),(331,1),(351,1),(434,1)}
       271:{3,6,7}:{(210,1),(211,1),(360,1)}
       272:{2,5,6,7}:{(211,1),(221,1),(331,1),(332,1),(361,1),(534,1)}
       273:{2,4,5}:{(212,1),(231,1),(333,1),(346,1),(349,1),(445,1),(538,1),(539,1)}
       274:{3,4,6}:{(212,1),(214,1),(222,1),(333,1),(336,1),(373,1),(437,1),(456,1)}
       275:{2,4,7}:{(212,1),(213,1),(233,1),(336,1),(443,1),(512,1)}
       276:{2,3,6,7}:{(213,1),(216,1),(224,1),(234,1),(337,1),(340,1),(378,1),(437,1),(448,1),(460,1),(509,1)}
       277:{2,3,6}:{(214,1),(217,1),(225,1),(338,1),(339,1),(494,1)}
       278:{3,7}:{(214,1),(215,1)}
       279:{2,4,6,7}:{(215,1),(216,1),(219,1),(227,1),(340,1),(341,1),(443,1)}
       280:{1,4,6}:{(217,1),(228,1),(328,1),(338,1),(342,1)}
       281:{2,4,7}:{(217,1),(218,1),(329,1),(339,1),(342,1),(442,1)}
       282:{1,5,7}:{(219,1),(221,1),(229,1),(341,1)}
       283:{3,5,7}:{(220,1),(221,1),(230,1),(343,1)}
       284:{2,3,4}:{(222,1),(225,1),(237,1),(344,1),(367,1),(529,1)}
       285:{3,4,7}:{(222,1),(223,1),(226,1),(345,1),(443,1)}
       286:{2,4,6}:{(223,1),(224,1),(238,1),(345,1),(346,1)}
       287:{1,3,5}:{(225,1),(228,1),(338,1),(344,1),(347,1)}
       288:{3,6}:{(226,1),(227,1)}
       289:{2,5,6}:{(227,1),(229,1),(341,1),(346,1),(348,1)}
       290:{4,5,6}:{(230,1),(343,1),(368,1),(454,1)}
       291:{1,3,5}:{(231,1),(232,1),(240,1),(333,1),(349,1)}
       292:{1,4,5,7}:{(231,1),(233,1),(241,1),(334,1),(350,1),(351,1),(354,1),(447,1)}
       293:{2,4,6}:{(232,1),(235,1),(237,1),(349,1),(352,1),(353,1),(448,1)}
       294:{1,3,4,7}:{(232,1),(233,1),(236,1),(243,1),(336,1),(350,1),(353,1)}
       295:{1,4,6,7}:{(233,1),(234,1),(238,1),(244,1),(337,1),(351,1),(354,1),(537,1)}
       296:{1,3,6}:{(235,1),(239,1),(352,1),(355,1),(356,1)}
       297:{2,3,7}:{(235,1),(236,1),(353,1),(356,1),(365,1),(442,1)}
       298:{1,4}:{(237,1),(239,1)}
       299:{1,5}:{(238,1),(253,1),(346,1)}
       300:{1,2,5}:{(239,1),(254,1),(347,1),(355,1),(357,1)}
       301:{2,3,5}:{(240,1),(242,1),(256,1),(349,1),(358,1),(549,1)}
       302:{3,5,7}:{(240,1),(241,1),(243,1),(360,1)}
       303:{2,4,6}:{(241,1),(351,1),(360,1),(361,1),(448,1),(454,1)}
       304:{1,3,4,6}:{(242,1),(245,1),(251,1),(258,1),(352,1),(358,1),(362,1),(363,1),(373,1),(449,1),(453,1),(456,1),(505,1),(510,1),(537,1)}
       305:{2,3,4,7}:{(242,1),(243,1),(246,1),(259,1),(353,1),(359,1),(363,1),(504,1),(535,1)}
       306:{3,4,6,7}:{(243,1),(244,1),(247,1),(252,1),(360,1),(364,1),(366,1),(454,1),(533,1),(546,1),(548,1)}
       307:{2,5,7}:{(244,1),(253,1),(354,1),(361,1),(364,1),(549,1)}
       308:{2,6}:{(245,1),(254,1),(365,1)}
       309:{1,3,7}:{(245,1),(246,1),(249,1),(365,1)}
       310:{3,5,7}:{(247,1),(248,1),(255,1),(366,1)}
       311:{2,4}:{(251,1),(254,1),(367,1)}
       312:{3,5}:{(252,1),(253,1),(368,1)}
       313:{4,6}:{(255,1),(366,1),(368,1)}
       314:{1,4,5}:{(256,1),(258,1),(358,1),(369,1),(505,1),(539,1)}
       315:{2,4,5,7}:{(256,1),(257,1),(259,1),(359,1),(370,1),(371,1),(376,1),(535,1),(549,1)}
       316:{3,4,6}:{(257,1),(360,1),(371,1),(372,1),(454,1)}
       317:{2,4,6}:{(258,1),(261,1),(369,1),(373,1),(374,1)}
       318:{1,4,7}:{(258,1),(259,1),(262,1),(374,1),(512,1)}
       319:{2,4,6,7}:{(259,1),(260,1),(263,1),(371,1),(375,1),(376,1)}
       320:{3,5,7}:{(260,1),(372,1),(376,1),(377,1)}
       321:{2,5,7}:{(261,1),(262,1),(365,1),(374,1),(378,1)}
       322:{1,3,6,7}:{(262,1),(263,1),(265,1),(375,1),(378,1),(453,1),(460,1)}
       323:{4,6,7}:{(264,1),(366,1),(377,1),(454,1)}
       324:{3,4,6}:{(266,1),(379,1),(380,1),(381,1),(401,1)}
       325:{2,3,5,6}:{(266,1),(268,1),(277,1),(380,1),(382,1),(383,1),(389,1),(474,1),(516,1)}
       326:{3,5,7}:{(266,1),(267,1),(278,1),(381,1),(384,1)}
       327:{2,4,6,7}:{(267,1),(270,1),(384,1),(385,1),(387,1),(391,1),(471,1)}
       328:{1,5,6}:{(268,1),(280,1),(386,1),(402,1),(481,1)}
       329:{2,5,7}:{(268,1),(269,1),(281,1),(386,1),(387,1)}
       330:{1,3,6,7}:{(269,1),(270,1),(271,1),(384,1),(387,1),(404,1)}
       331:{1,5,6,7}:{(270,1),(272,1),(282,1),(385,1),(405,1),(520,1)}
       332:{3,5,6,7}:{(271,1),(272,1),(283,1),(388,1),(413,1),(543,1)}
       333:{3,5}:{(273,1),(274,1)}
       334:{2,4,5,7}:{(273,1),(275,1),(292,1),(390,1),(391,1),(395,1),(403,1),(478,1)}
       335:{2,3,4,6}:{(274,1),(277,1),(284,1),(293,1),(380,1),(389,1),(392,1),(393,1),(414,1),(474,1),(483,1),(526,1)}
       336:{3,4,7}:{(274,1),(275,1),(278,1),(390,1),(422,1)}
       337:{2,4,6,7}:{(275,1),(276,1),(286,1),(295,1),(391,1),(394,1),(395,1),(526,1)}
       338:{1,3,6}:{(277,1),(280,1),(287,1),(396,1),(397,1)}
       339:{2,3,7}:{(277,1),(278,1),(281,1),(397,1),(518,1)}
       340:{3,6,7}:{(278,1),(279,1),(288,1),(398,1)}
       341:{2,5,7}:{(279,1),(282,1),(289,1),(398,1)}
       342:{1,4,7}:{(280,1),(281,1),(386,1),(397,1)}
       343:{4,5,7}:{(283,1),(290,1),(388,1)}
       344:{1,3,4}:{(284,1),(287,1),(298,1),(399,1),(409,1)}
       345:{3,4,6}:{(285,1),(286,1),(288,1),(400,1),(401,1)}
       346:{2,5}:{(286,1),(299,1),(400,1)}
       347:{2,5}:{(287,1),(396,1),(399,1)}
       348:{3,5,6}:{(288,1),(289,1),(398,1),(400,1),(401,1)}
       349:{2,5}:{(291,1),(293,1),(402,1)}
       350:{1,3,5,7}:{(291,1),(292,1),(294,1),(302,1),(390,1),(403,1),(404,1)}
       351:{1,4,6}:{(292,1),(303,1),(391,1),(404,1),(405,1),(481,1)}
       352:{1,4,6}:{(293,1),(296,1),(298,1),(402,1),(407,1),(481,1)}
       353:{2,4,7}:{(293,1),(294,1),(297,1),(403,1),(407,1)}
       354:{1,5,7}:{(295,1),(299,1),(307,1),(395,1),(405,1),(545,1)}
       355:{1,2,6}:{(296,1),(300,1),(308,1),(396,1),(408,1)}
       356:{1,3,7}:{(296,1),(297,1),(407,1),(408,1)}
       357:{1,2,4}:{(298,1),(300,1),(311,1),(399,1),(409,1)}
       358:{1,3,5}:{(301,1),(304,1),(314,1),(402,1),(410,1),(417,1),(527,1),(545,1)}
       359:{2,3,5,7}:{(301,1),(302,1),(305,1),(315,1),(403,1),(411,1),(412,1)}
       360:{3,6}:{(302,1),(303,1)}
       361:{2,5,6}:{(303,1),(307,1),(405,1),(413,1)}
       362:{2,4,6}:{(304,1),(308,1),(311,1),(410,1),(414,1),(415,1),(483,1),(485,1)}
       363:{1,3,4,7}:{(304,1),(305,1),(309,1),(318,1),(407,1),(411,1),(415,1),(422,1),(482,1),(486,1),(524,1)}
       364:{3,5,7}:{(306,1),(307,1),(312,1),(413,1),(416,1),(550,1)}
       365:{2,7}:{(308,1),(309,1)}
       366:{4,7}:{(310,1),(313,1)}
       367:{2,3}:{(311,1),(409,1)}
       368:{4,5}:{(312,1),(313,1)}
       369:{2,4,5}:{(314,1),(317,1),(410,1),(417,1),(483,1)}
       370:{1,4,5,7}:{(314,1),(315,1),(318,1),(411,1),(418,1),(419,1),(424,1),(524,1),(545,1)}
       371:{2,4,6}:{(315,1),(316,1),(412,1),(419,1),(420,1)}
       372:{3,5,6}:{(316,1),(320,1),(420,1),(421,1),(550,1)}
       373:{3,6}:{(317,1),(417,1),(422,1)}
       374:{2,4,7}:{(317,1),(318,1),(321,1),(422,1)}
       375:{1,4,6,7}:{(318,1),(319,1),(322,1),(419,1),(423,1),(424,1)}
       376:{2,5,7}:{(319,1),(320,1),(420,1),(424,1)}
       377:{4,5,7}:{(320,1),(323,1),(421,1)}
       378:{2,6,7}:{(321,1),(322,1),(485,1)}
       379:{3,4,5}:{(324,1),(333,1),(425,1),(445,1),(456,1)}
       380:{2,4,6}:{(324,1),(325,1),(425,1),(427,1),(428,1)}
       381:{3,4,7}:{(324,1),(326,1),(428,1),(443,1)}
       382:{1,3,5,6}:{(325,1),(328,1),(338,1),(427,1),(430,1),(431,1),(435,1),(494,1),(502,1),(532,1),(547,1)}
       383:{2,3,5,7}:{(325,1),(326,1),(329,1),(339,1),(428,1),(431,1),(432,1),(497,1)}
       384:{3,6,7}:{(326,1),(327,1),(437,1)}
       385:{2,5,6,7}:{(327,1),(331,1),(341,1),(433,1),(438,1),(497,1)}
       386:{1,5,7}:{(328,1),(329,1),(342,1),(434,1)}
       387:{2,6,7}:{(329,1),(330,1),(434,1),(448,1)}
       388:{4,6,7}:{(332,1),(343,1),(454,1),(548,1)}
       389:{2,3,5}:{(333,1),(335,1),(349,1),(425,1),(435,1),(538,1)}
       390:{3,5,7}:{(333,1),(334,1),(336,1),(437,1)}
       391:{2,4,6}:{(334,1),(351,1),(437,1),(438,1),(448,1),(503,1)}
       392:{1,3,4,6}:{(335,1),(338,1),(344,1),(352,1),(427,1),(435,1),(439,1),(440,1),(449,1),(494,1),(502,1),(505,1),(529,1),(537,1),(546,1)}
       393:{2,3,4,7}:{(335,1),(336,1),(339,1),(353,1),(428,1),(436,1),(440,1),(455,1),(508,1)}
       394:{3,4,6,7}:{(336,1),(337,1),(340,1),(345,1),(437,1),(441,1),(443,1),(460,1),(503,1),(510,1),(512,1)}
       395:{2,5,7}:{(337,1),(346,1),(354,1),(438,1),(441,1),(538,1)}
       396:{2,6}:{(338,1),(347,1),(442,1)}
       397:{1,3,7}:{(338,1),(339,1),(342,1),(442,1)}
       398:{3,5,7}:{(340,1),(341,1),(348,1),(443,1)}
       399:{2,4}:{(344,1),(347,1),(444,1)}
       400:{3,5}:{(345,1),(346,1),(445,1)}
       401:{4,6}:{(348,1),(443,1),(445,1)}
       402:{1,5}:{(349,1),(352,1)}
       403:{2,5,7}:{(349,1),(350,1),(353,1),(447,1),(448,1)}
       404:{1,3,6}:{(350,1),(351,1),(360,1),(437,1),(448,1)}
       405:{1,5,6}:{(351,1),(354,1),(361,1),(438,1)}
       406:{1,2,4,6}:{(352,1),(355,1),(357,1),(362,1),(439,1),(446,1),(449,1),(450,1),(505,1),(507,1),(537,1)}
       407:{1,4,7}:{(352,1),(353,1),(356,1),(447,1)}
       408:{1,2,7}:{(355,1),(356,1),(365,1),(442,1)}
       409:{1,3}:{(357,1),(367,1),(444,1)}
       410:{2,5}:{(358,1),(362,1)}
       411:{1,3,5,7}:{(358,1),(359,1),(363,1),(370,1),(447,1),(452,1),(453,1),(457,1)}
       412:{2,3,6}:{(359,1),(360,1),(371,1),(448,1),(453,1)}
       413:{3,5,6}:{(360,1),(361,1),(364,1),(454,1)}
       414:{2,3,6}:{(362,1),(367,1),(373,1),(449,1),(451,1),(455,1)}
       415:{2,4,7}:{(362,1),(363,1),(365,1),(452,1),(455,1)}
       416:{4,5,7}:{(364,1),(366,1),(368,1),(454,1),(548,1),(552,1)}
       417:{3,5}:{(369,1),(373,1),(456,1)}
       418:{2,4,5,7}:{(369,1),(370,1),(374,1),(452,1),(457,1),(458,1),(461,1),(508,1),(512,1),(538,1),(539,1)}
       419:{1,4,6}:{(370,1),(371,1),(453,1),(458,1),(459,1)}
       420:{2,5,6}:{(371,1),(372,1),(376,1),(459,1),(549,1)}
       421:{4,5,6}:{(372,1),(377,1),(454,1),(552,1)}
       422:{3,7}:{(373,1),(374,1)}
       423:{2,4,6,7}:{(374,1),(375,1),(378,1),(458,1),(460,1),(461,1),(512,1)}
       424:{1,5,7}:{(375,1),(376,1),(459,1),(461,1)}
       425:{2,4,5}:{(379,1),(380,1),(389,1),(462,1),(483,1)}
       426:{3,4,5,7}:{(379,1),(381,1),(390,1),(463,1),(464,1),(468,1),(478,1),(486,1),(527,1)}
       427:{1,4,6}:{(380,1),(382,1),(462,1),(465,1),(466,1),(551,1)}
       428:{2,4,7}:{(380,1),(381,1),(383,1),(466,1)}
       429:{3,4,6,7}:{(381,1),(384,1),(464,1),(467,1),(468,1),(471,1)}
       430:{2,5,6}:{(382,1),(396,1),(465,1),(469,1),(472,1),(523,1)}
       431:{1,3,5,7}:{(382,1),(383,1),(386,1),(397,1),(466,1),(469,1),(470,1),(518,1),(520,1),(543,1)}
       432:{2,3,6,7}:{(383,1),(384,1),(387,1),(467,1),(470,1),(474,1)}
       433:{3,5,6,7}:{(384,1),(385,1),(398,1),(468,1),(471,1),(475,1)}
       434:{1,6,7}:{(386,1),(387,1),(481,1)}
       435:{1,3,5}:{(389,1),(392,1),(402,1),(462,1),(472,1),(513,1),(545,1),(550,1)}
       436:{2,3,5,7}:{(389,1),(390,1),(393,1),(403,1),(463,1),(473,1),(474,1)}
       437:{3,6}:{(390,1),(391,1)}
       438:{2,5,6}:{(391,1),(395,1),(405,1),(475,1)}
       439:{2,4,6}:{(392,1),(396,1),(399,1),(472,1),(476,1),(477,1),(521,1),(523,1)}
       440:{1,3,4,7}:{(392,1),(393,1),(397,1),(407,1),(466,1),(473,1),(477,1),(482,1),(518,1),(524,1),(540,1)}
       441:{3,5,7}:{(394,1),(395,1),(400,1),(475,1),(478,1),(527,1)}
       442:{2,7}:{(396,1),(397,1)}
       443:{4,7}:{(398,1),(401,1)}
       444:{2,3}:{(399,1),(409,1)}
       445:{4,5}:{(400,1),(401,1)}
       446:{1,2,5}:{(402,1),(406,1),(410,1),(472,1),(479,1),(545,1)}
       447:{1,5,7}:{(402,1),(403,1),(407,1),(481,1)}
       448:{2,6}:{(403,1),(404,1),(481,1)}
       449:{1,3,6}:{(406,1),(409,1),(414,1),(476,1),(479,1),(482,1)}
       450:{1,2,4,7}:{(406,1),(407,1),(408,1),(415,1),(477,1),(480,1),(482,1),(524,1)}
       451:{2,3,5}:{(410,1),(414,1),(417,1),(479,1),(483,1)}
       452:{2,5,7}:{(410,1),(411,1),(415,1),(485,1)}
       453:{1,3,6}:{(411,1),(412,1),(419,1),(481,1),(485,1),(487,1)}
       454:{4,6}:{(413,1),(416,1)}
       455:{2,3,7}:{(414,1),(415,1),(422,1),(482,1)}
       456:{3,4}:{(417,1),(483,1)}
       457:{3,5,7}:{(417,1),(418,1),(422,1),(486,1),(487,1),(527,1)}
       458:{2,4,6}:{(418,1),(419,1),(485,1),(487,1),(488,1),(528,1)}
       459:{1,5,6}:{(419,1),(420,1),(424,1),(488,1),(545,1)}
       460:{3,6,7}:{(422,1),(423,1),(487,1),(489,1)}
       461:{2,5,7}:{(423,1),(424,1),(488,1),(489,1)}
       462:{1,4,5}:{(425,1),(427,1),(435,1),(490,1),(505,1),(552,1)}
       463:{2,4,5,7}:{(425,1),(426,1),(428,1),(436,1),(491,1),(492,1),(497,1),(508,1),(538,1)}
       464:{3,4,6}:{(426,1),(437,1),(492,1),(493,1),(503,1)}
       465:{2,4,6}:{(427,1),(430,1),(490,1),(494,1),(495,1)}
       466:{1,4,7}:{(427,1),(428,1),(431,1),(495,1),(548,1)}
       467:{2,4,6,7}:{(428,1),(429,1),(432,1),(492,1),(496,1),(497,1)}
       468:{3,5,7}:{(429,1),(493,1),(497,1),(498,1)}
       469:{2,5,7}:{(430,1),(431,1),(442,1),(495,1),(499,1)}
       470:{1,3,6,7}:{(431,1),(432,1),(434,1),(496,1),(499,1),(502,1),(533,1)}
       471:{4,6,7}:{(433,1),(443,1),(498,1),(503,1)}
       472:{2,5}:{(435,1),(439,1)}
       473:{1,3,5,7}:{(435,1),(436,1),(440,1),(447,1),(491,1),(501,1),(502,1),(530,1)}
       474:{2,3,6}:{(436,1),(437,1),(448,1),(492,1),(502,1)}
       475:{3,5,6}:{(437,1),(438,1),(441,1),(503,1)}
       476:{2,3,6}:{(439,1),(444,1),(449,1),(494,1),(500,1),(504,1)}
       477:{2,4,7}:{(439,1),(440,1),(442,1),(501,1),(504,1)}
       478:{4,5,7}:{(441,1),(443,1),(445,1),(503,1),(512,1),(539,1)}
       479:{1,3,5}:{(446,1),(449,1),(451,1),(500,1),(505,1)}
       480:{1,2,5,7}:{(446,1),(447,1),(450,1),(452,1),(501,1),(506,1),(507,1)}
       481:{1,6}:{(447,1),(448,1)}
       482:{1,3,7}:{(449,1),(450,1),(455,1),(504,1)}
       483:{2,4}:{(451,1),(456,1),(505,1)}
       484:{2,3,5,7}:{(451,1),(452,1),(455,1),(457,1),(506,1),(508,1),(509,1),(538,1)}
       485:{2,6}:{(452,1),(453,1)}
       486:{3,4,7}:{(456,1),(457,1),(508,1),(510,1),(512,1)}
       487:{3,6}:{(457,1),(458,1)}
       488:{2,5,6}:{(458,1),(459,1),(461,1),(511,1),(538,1)}
       489:{3,5,7}:{(460,1),(461,1),(511,1),(512,1)}
       490:{2,4,5}:{(462,1),(465,1),(472,1),(513,1),(521,1)}
       491:{1,4,5,7}:{(462,1),(463,1),(466,1),(473,1),(514,1),(515,1),(520,1),(524,1),(545,1)}
       492:{2,4,6}:{(463,1),(464,1),(474,1),(515,1),(516,1)}
       493:{3,5,6}:{(464,1),(468,1),(516,1),(517,1),(527,1)}
       494:{3,6}:{(465,1),(513,1),(518,1)}
       495:{2,4,7}:{(465,1),(466,1),(469,1),(518,1)}
       496:{1,4,6,7}:{(466,1),(467,1),(470,1),(515,1),(519,1),(520,1)}
       497:{2,5,7}:{(467,1),(468,1),(516,1),(520,1)}
       498:{4,5,7}:{(468,1),(471,1),(517,1)}
       499:{2,6,7}:{(469,1),(470,1),(523,1)}
       500:{2,3,5}:{(472,1),(476,1),(479,1),(513,1),(521,1)}
       501:{2,5,7}:{(472,1),(473,1),(477,1),(523,1)}
       502:{1,3,6}:{(473,1),(474,1),(481,1),(515,1),(523,1),(541,1)}
       503:{4,6}:{(475,1),(478,1)}
       504:{2,3,7}:{(476,1),(477,1),(482,1),(518,1)}
       505:{1,4}:{(479,1),(483,1),(521,1)}
       506:{1,3,5,7}:{(479,1),(480,1),(482,1),(484,1),(522,1),(524,1),(525,1),(545,1)}
       507:{1,2,6}:{(480,1),(481,1),(485,1),(523,1),(525,1)}
       508:{2,4,7}:{(483,1),(484,1),(486,1),(524,1),(526,1)}
       509:{2,3,6}:{(484,1),(485,1),(487,1),(525,1),(526,1)}
       510:{3,4,6}:{(486,1),(487,1),(526,1),(527,1),(528,1)}
       511:{3,5,6}:{(487,1),(488,1),(489,1),(527,1),(528,1)}
       512:{4,7}:{(489,1),(528,1)}
       513:{3,5}:{(490,1),(494,1),(529,1)}
       514:{2,4,5,7}:{(490,1),(491,1),(495,1),(501,1),(530,1),(531,1),(534,1),(535,1),(548,1),(549,1),(552,1)}
       515:{1,4,6}:{(491,1),(492,1),(502,1),(531,1),(532,1)}
       516:{2,5,6}:{(492,1),(493,1),(497,1),(532,1),(538,1)}
       517:{4,5,6}:{(493,1),(498,1),(503,1),(539,1)}
       518:{3,7}:{(494,1),(495,1)}
       519:{2,4,6,7}:{(495,1),(496,1),(499,1),(531,1),(533,1),(534,1),(548,1)}
       520:{1,5,7}:{(496,1),(497,1),(532,1),(534,1)}
       521:{2,4}:{(500,1),(505,1),(529,1)}
       522:{2,3,5,7}:{(500,1),(501,1),(504,1),(506,1),(530,1),(535,1),(536,1),(549,1)}
       523:{2,6}:{(501,1),(502,1)}
       524:{1,4,7}:{(505,1),(506,1),(508,1),(535,1),(537,1)}
       525:{1,3,6}:{(506,1),(507,1),(509,1),(536,1),(537,1)}
       526:{2,4,6}:{(508,1),(509,1),(510,1),(537,1),(538,1)}
       527:{3,5}:{(510,1),(538,1),(539,1)}
       528:{4,6}:{(511,1),(512,1),(539,1)}
       529:{3,4}:{(513,1),(521,1)}
       530:{3,5,7}:{(513,1),(514,1),(518,1),(540,1),(541,1),(550,1)}
       531:{2,4,6}:{(514,1),(515,1),(523,1),(541,1),(542,1),(551,1)}
       532:{1,5,6}:{(515,1),(516,1),(520,1),(542,1),(545,1)}
       533:{3,6,7}:{(518,1),(519,1),(541,1),(543,1)}
       534:{2,5,7}:{(519,1),(520,1),(542,1),(543,1)}
       535:{2,4,7}:{(521,1),(522,1),(524,1),(540,1),(544,1)}
       536:{2,3,6}:{(522,1),(523,1),(525,1),(541,1),(544,1)}
       537:{1,4,6}:{(524,1),(525,1),(526,1),(544,1),(545,1)}
       538:{2,5}:{(526,1),(527,1),(545,1)}
       539:{4,5}:{(527,1),(528,1)}
       540:{3,4,7}:{(529,1),(530,1),(535,1),(546,1),(548,1)}
       541:{3,6}:{(530,1),(531,1)}
       542:{2,5,6}:{(531,1),(532,1),(534,1),(547,1),(549,1)}
       543:{3,5,7}:{(533,1),(534,1),(547,1),(548,1)}
       544:{2,4,6}:{(535,1),(536,1),(537,1),(546,1),(549,1)}
       545:{1,5}:{(537,1),(538,1),(549,1)}
       546:{3,4,6}:{(540,1),(541,1),(544,1),(550,1),(551,1)}
       547:{3,5,6}:{(541,1),(542,1),(543,1),(550,1),(551,1)}
       548:{4,7}:{(543,1),(551,1)}
       549:{2,5}:{(544,1),(545,1),(550,1)}
       550:{3,5}:{(546,1),(549,1),(552,1)}
       551:{4,6}:{(547,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1113 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1114 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1115 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1116 :   0:{3,4,5,7}:{(2,1),(3,1),(18,1),(63,1),(136,1),(208,1),(310,1),(400,1),(408,1)}
         1:{2,3,4,7}:{(4,1),(5,1),(6,1),(82,1),(92,1),(166,1),(285,1),(364,1),(374,1)}
         2:{2,4,5,7}:{(0,1),(4,1),(8,1),(9,1),(35,1),(38,1),(92,1),(166,1),(267,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(438,1),(445,1)}
         4:{2,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(408,1),(416,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(15,1),(52,1),(69,1),(128,1),(135,1),(234,1),(336,1),(417,1)}
         6:{2,3,4,6}:{(1,1),(13,1),(15,1),(16,1),(59,1),(123,1),(217,1),(221,1),(238,1),(240,1),(319,1),(329,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(65,1),(136,1),(146,1)}
         8:{1,4,5,7}:{(2,1),(12,1),(19,1),(20,1),(62,1),(67,1),(128,1),(135,1),(227,1)}
         9:{2,4,6}:{(2,1),(3,1),(13,1),(20,1),(21,1)}
        10:{3,5,6}:{(3,1),(18,1),(21,1),(22,1),(310,1)}
        11:{2,3,4,7}:{(24,1),(25,1),(26,1),(32,1),(93,1),(165,1),(284,1),(365,1),(374,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(29,1),(30,1),(34,1),(40,1),(453,1)}
        13:{2,3,6}:{(4,1),(9,1),(30,1),(445,1),(452,1)}
        14:{2,4,7}:{(5,1),(29,1),(32,1),(33,1),(383,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(30,1),(33,1),(34,1),(88,1),(96,1),(107,1),(176,1),(179,1),(187,1),(189,1),(289,1),(290,1),(377,1)}
        16:{2,3,5}:{(6,1),(34,1),(35,1),(267,1),(367,1),(376,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(28,1),(37,1),(38,1),(92,1)}
        18:{3,5,7}:{(7,1),(10,1),(38,1),(39,1)}
        19:{2,4,5,7}:{(8,1),(29,1),(40,1),(41,1),(93,1),(99,1),(104,1),(183,1),(185,1),(196,1),(199,1)}
        20:{1,4,6}:{(8,1),(9,1),(30,1),(41,1),(42,1)}
        21:{2,5,6}:{(9,1),(10,1),(38,1),(42,1),(267,1)}
        22:{4,5,6}:{(10,1),(39,1),(358,1),(438,1)}
        23:{3,4,5,7}:{(44,1),(45,1),(69,1),(112,1),(126,1),(151,1),(216,1),(246,1),(334,1)}
        24:{2,3,5,7}:{(11,1),(44,1),(46,1),(47,1),(50,1),(334,1),(416,1)}
        25:{1,3,4,7}:{(11,1),(46,1),(48,1),(49,1),(52,1),(128,1),(208,1),(215,1),(316,1),(410,1),(417,1)}
        26:{2,3,4,6}:{(11,1),(47,1),(49,1),(50,1),(60,1),(122,1),(137,1),(141,1),(237,1),(320,1),(322,1),(329,1)}
        27:{1,2,4,7}:{(14,1),(48,1),(51,1),(52,1),(53,1),(128,1),(417,1),(418,1)}
        28:{2,3,6,7}:{(13,1),(17,1),(54,1),(55,1),(146,1),(244,1)}
        29:{2,5,7}:{(12,1),(14,1),(57,1),(61,1)}
        30:{1,3,6}:{(12,1),(13,1),(20,1),(57,1),(70,1),(482,1)}
        31:{2,3,5,6}:{(13,1),(16,1),(21,1),(55,1),(58,1),(59,1),(73,1),(154,1),(238,1)}
        32:{2,3,7}:{(14,1),(52,1),(60,1),(234,1)}
        33:{2,4,6}:{(14,1),(15,1),(57,1),(60,1),(61,1),(141,1),(339,1),(340,1)}
        34:{1,3,5}:{(15,1),(16,1),(61,1),(62,1),(142,1),(151,1),(227,1),(419,1)}
        35:{2,4,5}:{(16,1),(59,1),(62,1),(63,1),(221,1)}
        36:{3,5,6,7}:{(18,1),(64,1),(65,1),(146,1),(399,1),(490,1)}
        37:{1,4,6,7}:{(17,1),(20,1),(54,1),(66,1),(67,1),(135,1)}
        38:{2,5,7}:{(17,1),(18,1),(21,1),(67,1)}
        39:{4,5,7}:{(18,1),(22,1),(65,1)}
        40:{3,5,7}:{(19,1),(69,1),(70,1),(142,1),(151,1),(234,1)}
        41:{2,4,6}:{(19,1),(20,1),(57,1),(70,1),(71,1),(152,1)}
        42:{1,5,6}:{(20,1),(21,1),(67,1),(71,1),(227,1)}
        43:{2,4,5,6}:{(21,1),(22,1),(59,1),(68,1),(72,1),(73,1),(154,1),(318,1),(350,1),(407,1),(489,1),(527,1)}
        44:{2,4,5,7}:{(23,1),(24,1),(75,1),(76,1),(85,1),(93,1),(157,1),(165,1),(185,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(296,1),(380,1)}
        46:{1,3,5,7}:{(24,1),(25,1),(75,1),(79,1),(80,1),(84,1),(159,1),(453,1)}
        47:{2,3,6}:{(24,1),(76,1),(80,1),(380,1),(452,1)}
        48:{2,4,7}:{(25,1),(79,1),(82,1),(83,1),(448,1)}
        49:{1,3,4,6}:{(25,1),(26,1),(80,1),(83,1),(84,1),(88,1),(169,1),(176,1),(179,1),(259,1),(269,1),(271,1),(369,1),(370,1),(377,1)}
        50:{2,3,5}:{(26,1),(84,1),(85,1),(185,1),(287,1),(376,1)}
        51:{1,2,5,7}:{(27,1),(29,1),(79,1),(86,1),(87,1),(89,1),(453,1)}
        52:{1,3,7}:{(27,1),(32,1),(82,1),(88,1)}
        53:{1,2,4,6}:{(27,1),(33,1),(83,1),(87,1),(88,1),(89,1),(176,1),(179,1),(377,1),(378,1),(379,1)}
        54:{1,3,6,7}:{(28,1),(30,1),(37,1),(90,1),(91,1),(103,1),(295,1)}
        55:{2,3,5,7}:{(28,1),(31,1),(38,1),(91,1),(92,1),(106,1),(198,1),(285,1)}
        56:{2,3,5,7}:{(29,1),(32,1),(40,1),(86,1),(93,1),(94,1),(98,1),(185,1)}
        57:{2,6}:{(29,1),(30,1)}
        58:{1,3,5,6}:{(30,1),(31,1),(34,1),(42,1),(91,1),(95,1),(96,1),(108,1),(187,1),(202,1),(289,1)}
        59:{2,4,6}:{(31,1),(35,1),(92,1),(96,1),(97,1)}
        60:{2,3,6}:{(32,1),(33,1),(88,1),(98,1),(187,1),(386,1)}
        61:{2,5}:{(33,1),(34,1)}
        62:{1,4,5}:{(34,1),(35,1),(96,1),(99,1),(179,1),(199,1)}
        63:{3,4,5}:{(35,1),(97,1),(271,1),(367,1),(539,1)}
        64:{2,5,6,7}:{(36,1),(38,1),(101,1),(102,1),(362,1),(462,1)}
        65:{4,6,7}:{(36,1),(39,1),(438,1),(512,1)}
        66:{2,4,6,7}:{(37,1),(41,1),(90,1),(103,1),(104,1),(183,1),(196,1)}
        67:{1,5,7}:{(37,1),(38,1),(42,1),(104,1)}
        68:{2,4,5,7}:{(38,1),(39,1),(43,1),(92,1),(102,1),(105,1),(106,1),(198,1),(393,1),(462,1),(512,1)}
        69:{3,4,7}:{(40,1),(93,1),(107,1),(189,1),(196,1)}
        70:{3,6}:{(40,1),(41,1)}
        71:{2,5,6}:{(41,1),(42,1),(104,1),(108,1),(185,1)}
        72:{1,4,5,6}:{(42,1),(43,1),(96,1),(105,1),(109,1),(110,1),(202,1),(277,1),(301,1),(372,1),(461,1)}
        73:{3,5,6}:{(43,1),(97,1),(106,1),(367,1),(395,1),(445,1)}
        74:{3,4,6,7}:{(45,1),(111,1),(112,1),(204,1),(216,1),(305,1)}
        75:{1,4,5,7}:{(44,1),(46,1),(113,1),(114,1),(125,1),(128,1),(206,1),(215,1),(227,1)}
        76:{2,4,6}:{(44,1),(45,1),(47,1),(114,1),(115,1)}
        77:{3,5,6}:{(45,1),(112,1),(115,1),(116,1),(151,1)}
        78:{2,3,6,7}:{(47,1),(111,1),(117,1),(118,1),(305,1),(398,1)}
        79:{2,5,7}:{(46,1),(48,1),(120,1),(124,1)}
        80:{1,3,6}:{(46,1),(47,1),(114,1),(120,1),(209,1),(482,1)}
        81:{2,3,5,6}:{(47,1),(50,1),(115,1),(118,1),(121,1),(122,1),(212,1),(313,1),(320,1)}
        82:{2,3,7}:{(48,1),(52,1),(123,1),(316,1)}
        83:{2,4,6}:{(48,1),(49,1),(120,1),(123,1),(124,1),(221,1),(413,1),(414,1)}
        84:{1,3,5}:{(49,1),(50,1),(124,1),(125,1),(222,1),(227,1),(310,1),(419,1)}
        85:{2,4,5}:{(50,1),(122,1),(125,1),(126,1),(141,1)}
        86:{1,3,5,7}:{(51,1),(52,1),(56,1),(119,1),(128,1),(129,1),(131,1),(227,1)}
        87:{1,2,6}:{(51,1),(57,1),(120,1),(129,1),(482,1)}
        88:{1,3,6}:{(52,1),(53,1),(60,1),(123,1),(131,1),(421,1)}
        89:{1,2,5}:{(53,1),(61,1),(124,1),(131,1),(227,1),(419,1)}
        90:{2,6,7}:{(54,1),(57,1),(134,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(58,1),(67,1),(134,1),(135,1),(148,1),(234,1),(249,1),(336,1)}
        92:{2,4,7}:{(55,1),(59,1),(135,1),(136,1)}
        93:{2,4,7}:{(56,1),(69,1),(128,1),(137,1),(141,1)}
        94:{2,3,6}:{(56,1),(57,1),(70,1),(129,1),(137,1)}
        95:{2,5,6}:{(57,1),(58,1),(61,1),(134,1),(139,1),(339,1)}
        96:{1,4,6}:{(58,1),(59,1),(62,1),(135,1),(139,1),(152,1)}
        97:{3,4,6}:{(59,1),(63,1),(73,1),(136,1),(527,1)}
        98:{2,3,5}:{(60,1),(61,1),(131,1),(141,1),(142,1)}
        99:{2,4,5}:{(61,1),(62,1),(139,1),(141,1),(142,1)}
       100:{1,3,4,5}:{(62,1),(63,1),(140,1),(142,1),(143,1),(230,1),(241,1),(250,1),(328,1),(349,1),(433,1)}
       101:{1,5,6,7}:{(64,1),(67,1),(144,1),(145,1),(324,1),(428,1)}
       102:{2,4,6,7}:{(64,1),(65,1),(68,1),(145,1),(146,1),(244,1),(407,1)}
       103:{3,6,7}:{(66,1),(70,1),(148,1),(234,1)}
       104:{2,5,7}:{(66,1),(67,1),(71,1),(148,1)}
       105:{1,4,5,7}:{(67,1),(68,1),(72,1),(135,1),(145,1),(149,1),(150,1),(249,1),(347,1),(428,1)}
       106:{3,5,7}:{(68,1),(73,1),(136,1),(146,1),(432,1)}
       107:{3,4,6}:{(69,1),(70,1),(137,1),(151,1),(152,1)}
       108:{3,5,6}:{(70,1),(71,1),(148,1),(151,1),(152,1)}
       109:{2,4,5,6}:{(71,1),(72,1),(139,1),(149,1),(152,1),(153,1),(154,1),(236,1),(251,1),(333,1),(341,1),(427,1)}
       110:{1,3,5,6}:{(72,1),(73,1),(140,1),(150,1),(153,1),(154,1),(328,1),(415,1)}
       111:{2,4,6,7}:{(74,1),(76,1),(78,1),(156,1),(157,1),(165,1)}
       112:{3,5,7}:{(74,1),(77,1),(157,1),(158,1)}
       113:{2,4,5,7}:{(75,1),(79,1),(159,1),(160,1),(166,1),(172,1),(256,1),(265,1),(267,1),(355,1),(358,1)}
       114:{1,4,6}:{(75,1),(76,1),(80,1),(160,1),(161,1)}
       115:{2,5,6}:{(76,1),(77,1),(157,1),(161,1),(185,1)}
       116:{4,5,6}:{(77,1),(158,1),(199,1),(296,1)}
       117:{1,3,6,7}:{(78,1),(80,1),(156,1),(163,1),(164,1),(255,1),(437,1)}
       118:{2,3,5,7}:{(78,1),(81,1),(157,1),(164,1),(165,1),(258,1),(357,1),(365,1)}
       119:{2,3,5,7}:{(79,1),(82,1),(86,1),(159,1),(166,1),(167,1),(171,1),(267,1)}
       120:{2,6}:{(79,1),(80,1)}
       121:{1,3,5,6}:{(80,1),(81,1),(84,1),(161,1),(164,1),(168,1),(169,1),(260,1),(269,1),(361,1),(369,1)}
       122:{2,4,6}:{(81,1),(85,1),(165,1),(169,1),(170,1)}
       123:{2,3,6}:{(82,1),(83,1),(88,1),(171,1),(269,1),(451,1)}
       124:{2,5}:{(83,1),(84,1)}
       125:{1,4,5}:{(84,1),(85,1),(169,1),(172,1),(179,1),(358,1)}
       126:{3,4,5}:{(85,1),(170,1),(189,1),(287,1),(552,1)}
       127:{1,2,6,7}:{(87,1),(90,1),(163,1),(174,1),(175,1),(295,1),(390,1),(437,1),(452,1),(496,1),(506,1)}
       128:{1,4,7}:{(86,1),(93,1),(166,1),(176,1),(179,1)}
       129:{1,3,6}:{(86,1),(87,1),(94,1),(167,1),(176,1)}
       130:{1,2,5,6}:{(87,1),(89,1),(95,1),(168,1),(175,1),(177,1),(178,1),(202,1),(302,1),(361,1),(376,1),(378,1),(444,1),(452,1),(455,1),(506,1)}
       131:{1,3,5}:{(88,1),(89,1),(98,1),(171,1),(179,1)}
       132:{1,2,4,5}:{(89,1),(99,1),(172,1),(178,1),(179,1),(180,1),(191,1),(273,1),(277,1),(280,1),(291,1),(371,1),(376,1),(379,1),(394,1),(455,1),(500,1),(508,1)}
       133:{2,3,6,7}:{(90,1),(94,1),(103,1),(174,1),(181,1),(182,1),(380,1),(452,1),(496,1),(531,1),(535,1)}
       134:{2,5,7}:{(90,1),(91,1),(95,1),(183,1),(383,1)}
       135:{1,4,7}:{(91,1),(92,1),(96,1),(183,1),(196,1)}
       136:{3,4,7}:{(92,1),(97,1),(106,1),(512,1)}
       137:{2,4,6}:{(93,1),(94,1),(107,1),(176,1),(185,1)}
       138:{2,3,5,6}:{(94,1),(95,1),(98,1),(108,1),(177,1),(182,1),(185,1),(186,1),(187,1),(279,1),(282,1),(287,1),(376,1),(380,1),(444,1),(452,1),(501,1),(505,1),(535,1),(546,1),(549,1)}
       139:{2,4,6}:{(95,1),(96,1),(99,1),(183,1),(187,1)}
       140:{1,3,4,6}:{(96,1),(97,1),(100,1),(110,1),(184,1),(187,1),(188,1),(200,1),(289,1),(301,1),(395,1)}
       141:{2,4}:{(98,1),(179,1),(189,1)}
       142:{3,5}:{(99,1),(187,1),(189,1)}
       143:{2,4,5}:{(100,1),(188,1),(190,1),(191,1),(280,1),(291,1),(376,1)}
       144:{2,5,6,7}:{(101,1),(104,1),(192,1),(193,1),(282,1),(388,1)}
       145:{1,4,6,7}:{(101,1),(102,1),(105,1),(193,1),(194,1),(295,1),(372,1)}
       146:{3,6,7}:{(102,1),(106,1),(445,1)}
       147:{3,4,6,7}:{(103,1),(107,1),(181,1),(195,1),(196,1),(284,1),(296,1),(380,1),(531,1),(547,1),(548,1)}
       148:{3,5,7}:{(103,1),(104,1),(108,1),(196,1)}
       149:{2,4,5,7}:{(104,1),(105,1),(109,1),(183,1),(193,1),(196,1),(197,1),(198,1),(292,1),(298,1),(388,1)}
       150:{1,3,5,7}:{(105,1),(106,1),(110,1),(184,1),(194,1),(197,1),(198,1)}
       151:{3,5}:{(107,1),(185,1),(199,1)}
       152:{4,6}:{(108,1),(196,1),(199,1)}
       153:{3,5,6}:{(109,1),(187,1),(197,1),(200,1),(287,1),(380,1)}
       154:{2,5,6}:{(110,1),(188,1),(198,1),(202,1),(376,1),(452,1)}
       155:{3,5,6,7}:{(112,1),(203,1),(204,1),(245,1),(305,1),(541,1)}
       156:{1,4,6,7}:{(111,1),(114,1),(117,1),(205,1),(206,1),(215,1)}
       157:{2,5,7}:{(111,1),(112,1),(115,1),(206,1)}
       158:{4,5,7}:{(112,1),(116,1),(204,1)}
       159:{3,5,7}:{(113,1),(208,1),(209,1),(222,1),(310,1),(316,1)}
       160:{2,4,6}:{(113,1),(114,1),(120,1),(209,1),(210,1),(311,1)}
       161:{1,5,6}:{(114,1),(115,1),(206,1),(210,1),(227,1)}
       162:{2,4,5,6}:{(115,1),(116,1),(122,1),(207,1),(211,1),(212,1),(236,1),(313,1),(333,1),(476,1),(540,1),(550,1)}
       163:{2,6,7}:{(117,1),(120,1),(214,1)}
       164:{1,3,5,7}:{(117,1),(118,1),(121,1),(206,1),(214,1),(215,1),(307,1),(316,1),(403,1),(410,1)}
       165:{2,4,7}:{(118,1),(122,1),(215,1),(216,1)}
       166:{2,4,7}:{(119,1),(128,1),(208,1),(217,1),(221,1)}
       167:{2,3,6}:{(119,1),(120,1),(129,1),(209,1),(217,1)}
       168:{2,5,6}:{(120,1),(121,1),(124,1),(214,1),(219,1),(413,1)}
       169:{1,4,6}:{(121,1),(122,1),(125,1),(215,1),(219,1),(311,1)}
       170:{3,4,6}:{(122,1),(126,1),(212,1),(216,1),(550,1)}
       171:{2,3,5}:{(123,1),(124,1),(131,1),(221,1),(222,1)}
       172:{2,4,5}:{(124,1),(125,1),(219,1),(221,1),(222,1)}
       173:{1,3,4,5}:{(125,1),(126,1),(220,1),(222,1),(223,1),(230,1),(323,1),(328,1),(404,1),(475,1),(520,1)}
       174:{1,3,6,7}:{(127,1),(129,1),(133,1),(213,1),(224,1),(225,1),(415,1),(482,1),(524,1)}
       175:{1,2,5,7}:{(127,1),(130,1),(134,1),(214,1),(225,1),(226,1),(249,1),(348,1),(403,1),(416,1),(418,1),(474,1)}
       176:{1,4,6}:{(128,1),(129,1),(137,1),(217,1),(227,1)}
       177:{1,3,5,6}:{(129,1),(130,1),(131,1),(138,1),(218,1),(225,1),(227,1),(228,1),(229,1),(324,1),(328,1),(330,1),(415,1),(419,1),(482,1),(485,1),(524,1),(545,1)}
       178:{1,2,4,6}:{(130,1),(132,1),(139,1),(219,1),(226,1),(228,1),(229,1),(239,1),(321,1),(329,1),(339,1),(350,1),(413,1),(476,1)}
       179:{1,4}:{(131,1),(141,1),(221,1)}
       180:{1,3,5}:{(132,1),(142,1),(222,1),(229,1),(230,1),(231,1),(421,1),(433,1),(520,1)}
       181:{2,4,6,7}:{(133,1),(137,1),(147,1),(224,1),(232,1),(233,1),(333,1),(544,1)}
       182:{2,3,5,7}:{(133,1),(134,1),(138,1),(148,1),(225,1),(232,1),(233,1),(234,1),(327,1),(334,1),(416,1),(474,1),(519,1),(541,1)}
       183:{2,4,7}:{(134,1),(135,1),(139,1),(234,1)}
       184:{1,3,4,7}:{(135,1),(136,1),(140,1),(150,1),(234,1),(235,1),(247,1),(336,1),(347,1),(432,1)}
       185:{2,5}:{(137,1),(151,1),(227,1)}
       186:{2,4,6}:{(138,1),(141,1),(152,1),(228,1),(233,1),(236,1),(237,1),(523,1),(550,1)}
       187:{3,6}:{(139,1),(142,1),(234,1)}
       188:{2,4,6}:{(140,1),(143,1),(154,1),(235,1),(238,1),(239,1),(339,1)}
       189:{3,4}:{(141,1),(142,1)}
       190:{2,3,5}:{(142,1),(143,1),(238,1),(240,1),(241,1),(433,1)}
       191:{1,4,5}:{(143,1),(239,1),(241,1),(331,1),(419,1)}
       192:{3,5,6,7}:{(144,1),(148,1),(242,1),(243,1),(245,1),(342,1)}
       193:{2,4,6,7}:{(144,1),(145,1),(149,1),(242,1),(243,1),(244,1),(333,1)}
       194:{1,3,6,7}:{(145,1),(146,1),(150,1),(243,1),(244,1),(415,1)}
       195:{3,5,7}:{(147,1),(151,1),(232,1),(245,1),(246,1),(551,1)}
       196:{4,7}:{(148,1),(152,1)}
       197:{3,5,7}:{(149,1),(153,1),(234,1),(243,1),(247,1)}
       198:{2,5,7}:{(150,1),(154,1),(235,1),(244,1),(249,1)}
       199:{4,5}:{(151,1),(152,1)}
       200:{3,4,6}:{(152,1),(153,1),(247,1),(250,1),(251,1)}
       201:{2,3,5,6}:{(153,1),(154,1),(238,1),(248,1),(251,1),(252,1),(337,1),(422,1),(427,1)}
       202:{1,5,6}:{(154,1),(239,1),(249,1),(419,1),(482,1)}
       203:{2,5,6,7}:{(155,1),(157,1),(253,1),(254,1),(282,1),(530,1)}
       204:{4,6,7}:{(155,1),(158,1),(296,1),(547,1)}
       205:{2,4,6,7}:{(156,1),(160,1),(163,1),(255,1),(256,1),(265,1),(355,1)}
       206:{1,5,7}:{(156,1),(157,1),(161,1),(256,1)}
       207:{2,4,5,7}:{(157,1),(158,1),(162,1),(165,1),(254,1),(257,1),(258,1),(357,1),(499,1),(530,1),(547,1)}
       208:{3,4,7}:{(159,1),(166,1),(259,1),(271,1),(355,1)}
       209:{3,6}:{(159,1),(160,1)}
       210:{2,5,6}:{(160,1),(161,1),(256,1),(260,1),(267,1)}
       211:{1,4,5,6}:{(161,1),(162,1),(169,1),(257,1),(261,1),(262,1),(277,1),(361,1),(372,1),(443,1),(529,1)}
       212:{3,5,6}:{(162,1),(170,1),(258,1),(287,1),(380,1),(501,1)}
       213:{2,3,6,7}:{(163,1),(167,1),(174,1),(255,1),(263,1),(264,1),(390,1),(445,1),(452,1),(463,1),(509,1)}
       214:{2,5,7}:{(163,1),(164,1),(168,1),(265,1),(448,1)}
       215:{1,4,7}:{(164,1),(165,1),(169,1),(265,1),(355,1)}
       216:{3,4,7}:{(165,1),(170,1),(258,1),(547,1)}
       217:{2,4,6}:{(166,1),(167,1),(176,1),(259,1),(267,1)}
       218:{2,3,5,6}:{(167,1),(168,1),(171,1),(177,1),(260,1),(264,1),(267,1),(268,1),(269,1),(279,1),(302,1),(362,1),(367,1),(376,1),(395,1),(445,1),(452,1),(460,1),(509,1),(511,1),(538,1)}
       219:{2,4,6}:{(168,1),(169,1),(172,1),(265,1),(269,1)}
       220:{1,3,4,6}:{(169,1),(170,1),(173,1),(262,1),(266,1),(269,1),(270,1),(359,1),(369,1),(443,1),(501,1)}
       221:{2,4}:{(171,1),(179,1),(271,1)}
       222:{3,5}:{(172,1),(269,1),(271,1)}
       223:{2,4,5}:{(173,1),(270,1),(272,1),(273,1),(280,1),(371,1),(376,1)}
       224:{1,4,6,7}:{(174,1),(176,1),(181,1),(263,1),(274,1),(275,1),(372,1),(537,1)}
       225:{1,3,5,7}:{(174,1),(175,1),(177,1),(182,1),(264,1),(274,1),(275,1),(276,1),(375,1),(453,1)}
       226:{1,2,4,7}:{(175,1),(178,1),(183,1),(265,1),(275,1),(276,1),(286,1),(366,1),(374,1),(383,1),(393,1),(448,1),(499,1)}
       227:{1,5}:{(176,1),(185,1),(267,1)}
       228:{1,4,6}:{(177,1),(179,1),(186,1),(268,1),(275,1),(277,1),(508,1)}
       229:{1,3,6}:{(178,1),(180,1),(187,1),(269,1),(276,1),(279,1),(395,1),(501,1)}
       230:{1,3,4}:{(179,1),(180,1),(189,1),(271,1),(280,1),(466,1),(508,1),(534,1)}
       231:{2,3,5}:{(180,1),(279,1),(280,1),(281,1),(291,1),(371,1),(376,1),(386,1),(451,1)}
       232:{2,5,7}:{(181,1),(185,1),(195,1),(274,1),(282,1),(549,1)}
       233:{2,4,7}:{(182,1),(186,1),(196,1),(275,1),(284,1),(547,1)}
       234:{3,7}:{(183,1),(187,1)}
       235:{2,4,7}:{(184,1),(188,1),(198,1),(285,1),(286,1),(383,1)}
       236:{2,4,5}:{(185,1),(186,1),(199,1),(277,1),(287,1),(376,1),(549,1),(552,1)}
       237:{3,4,6}:{(186,1),(187,1),(189,1),(284,1),(287,1),(380,1),(501,1),(534,1)}
       238:{2,3,6}:{(187,1),(188,1),(190,1),(285,1),(289,1),(395,1)}
       239:{1,4,6}:{(188,1),(191,1),(202,1),(286,1),(289,1)}
       240:{2,3,4}:{(189,1),(190,1),(280,1),(290,1),(451,1),(466,1)}
       241:{1,3,5}:{(190,1),(191,1),(289,1),(290,1),(291,1)}
       242:{4,6,7}:{(192,1),(196,1),(292,1),(296,1)}
       243:{3,6,7}:{(193,1),(197,1),(380,1)}
       244:{2,6,7}:{(194,1),(198,1),(295,1),(452,1)}
       245:{3,5,6}:{(195,1),(282,1),(296,1),(380,1)}
       246:{4,5,7}:{(195,1),(196,1),(199,1),(296,1),(547,1),(552,1)}
       247:{3,4,7}:{(196,1),(197,1),(200,1),(298,1)}
       248:{2,3,5,7}:{(197,1),(198,1),(201,1),(285,1),(294,1),(298,1),(299,1),(388,1)}
       249:{1,5,7}:{(198,1),(202,1),(286,1),(295,1)}
       250:{3,4,5}:{(199,1),(200,1),(287,1),(300,1),(534,1)}
       251:{2,4,6}:{(200,1),(201,1),(298,1),(300,1),(301,1)}
       252:{1,3,5,6}:{(201,1),(202,1),(289,1),(299,1),(301,1),(302,1),(384,1),(395,1),(457,1),(461,1),(511,1)}
       253:{1,5,6,7}:{(203,1),(206,1),(303,1),(304,1),(324,1),(515,1)}
       254:{2,4,6,7}:{(203,1),(204,1),(207,1),(304,1),(305,1),(333,1),(398,1)}
       255:{3,6,7}:{(205,1),(209,1),(307,1),(316,1)}
       256:{2,5,7}:{(205,1),(206,1),(210,1),(307,1)}
       257:{1,4,5,7}:{(206,1),(207,1),(211,1),(215,1),(304,1),(308,1),(309,1),(403,1),(473,1),(515,1)}
       258:{3,5,7}:{(207,1),(212,1),(216,1),(305,1),(519,1)}
       259:{3,4,6}:{(208,1),(209,1),(217,1),(310,1),(311,1)}
       260:{3,5,6}:{(209,1),(210,1),(307,1),(310,1),(311,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(219,1),(308,1),(311,1),(312,1),(313,1),(318,1),(405,1),(407,1),(467,1),(514,1)}
       262:{1,3,5,6}:{(211,1),(212,1),(220,1),(309,1),(312,1),(313,1),(328,1),(415,1)}
       263:{2,4,6,7}:{(213,1),(217,1),(224,1),(306,1),(314,1),(315,1),(407,1),(526,1)}
       264:{2,3,5,7}:{(213,1),(214,1),(218,1),(225,1),(307,1),(314,1),(315,1),(316,1),(327,1),(348,1),(408,1),(416,1),(432,1),(490,1)}
       265:{2,4,7}:{(214,1),(215,1),(219,1),(316,1)}
       266:{1,3,4,7}:{(215,1),(216,1),(220,1),(309,1),(316,1),(317,1),(401,1),(410,1),(473,1),(519,1)}
       267:{2,5}:{(217,1),(227,1),(310,1)}
       268:{2,4,6}:{(218,1),(221,1),(228,1),(311,1),(315,1),(318,1),(319,1),(488,1),(527,1)}
       269:{3,6}:{(219,1),(222,1),(316,1)}
       270:{2,4,6}:{(220,1),(223,1),(313,1),(317,1),(320,1),(321,1),(413,1)}
       271:{3,4}:{(221,1),(222,1)}
       272:{2,3,5}:{(222,1),(223,1),(320,1),(322,1),(323,1),(520,1)}
       273:{1,4,5}:{(223,1),(321,1),(323,1),(331,1),(419,1)}
       274:{1,5,7}:{(224,1),(227,1),(232,1),(314,1),(324,1),(545,1)}
       275:{1,4,7}:{(225,1),(228,1),(233,1),(315,1)}
       276:{1,3,7}:{(226,1),(229,1),(234,1),(316,1),(327,1),(432,1),(519,1)}
       277:{1,4,5}:{(227,1),(228,1),(236,1),(318,1),(328,1),(419,1),(545,1)}
       278:{1,3,4,6}:{(228,1),(229,1),(230,1),(237,1),(319,1),(326,1),(328,1),(329,1),(415,1)}
       279:{2,3,6}:{(229,1),(231,1),(327,1),(329,1),(330,1),(339,1),(413,1)}
       280:{2,4}:{(230,1),(231,1),(331,1)}
       281:{1,3,5}:{(231,1),(330,1),(331,1),(332,1),(419,1),(421,1)}
       282:{2,5,6}:{(232,1),(245,1),(324,1),(333,1)}
       283:{2,4,5,7}:{(232,1),(233,1),(236,1),(246,1),(325,1),(333,1),(334,1),(416,1)}
       284:{3,4,7}:{(233,1),(234,1),(237,1),(334,1),(519,1)}
       285:{2,3,7}:{(234,1),(235,1),(238,1),(336,1),(432,1)}
       286:{1,4,7}:{(235,1),(239,1),(249,1),(336,1)}
       287:{3,5}:{(236,1),(237,1)}
       288:{2,3,4,6}:{(237,1),(238,1),(240,1),(251,1),(329,1),(335,1),(337,1),(338,1),(422,1),(481,1),(523,1),(544,1)}
       289:{1,3,6}:{(238,1),(239,1),(241,1),(336,1),(339,1)}
       290:{1,3,4}:{(240,1),(241,1),(331,1),(340,1),(421,1)}
       291:{2,5}:{(241,1),(339,1),(340,1)}
       292:{4,5,7}:{(242,1),(341,1),(342,1)}
       293:{3,4,6,7}:{(242,1),(243,1),(247,1),(342,1),(343,1),(345,1)}
       294:{2,3,6,7}:{(243,1),(244,1),(248,1),(343,1),(344,1),(422,1)}
       295:{1,6,7}:{(244,1),(249,1),(482,1)}
       296:{4,6}:{(245,1),(246,1)}
       297:{3,4,5,7}:{(246,1),(247,1),(250,1),(334,1),(342,1),(345,1),(346,1),(543,1),(551,1)}
       298:{2,4,7}:{(247,1),(248,1),(251,1),(347,1)}
       299:{1,3,5,7}:{(248,1),(249,1),(252,1),(336,1),(344,1),(347,1),(348,1),(428,1),(432,1),(490,1)}
       300:{2,4,5}:{(250,1),(251,1),(337,1),(349,1),(523,1)}
       301:{1,4,6}:{(251,1),(252,1),(347,1),(349,1),(350,1),(527,1)}
       302:{2,5,6}:{(252,1),(339,1),(348,1),(350,1),(425,1),(486,1)}
       303:{2,5,6,7}:{(253,1),(256,1),(351,1),(352,1),(362,1),(494,1)}
       304:{1,4,6,7}:{(253,1),(254,1),(257,1),(352,1),(353,1),(372,1),(437,1)}
       305:{3,6,7}:{(254,1),(258,1),(380,1)}
       306:{3,4,6,7}:{(255,1),(259,1),(263,1),(354,1),(355,1),(364,1),(438,1),(445,1),(463,1),(512,1),(513,1)}
       307:{3,5,7}:{(255,1),(256,1),(260,1),(355,1)}
       308:{2,4,5,7}:{(256,1),(257,1),(261,1),(265,1),(352,1),(355,1),(356,1),(357,1),(434,1),(440,1),(494,1)}
       309:{1,3,5,7}:{(257,1),(258,1),(262,1),(266,1),(353,1),(356,1),(357,1)}
       310:{3,5}:{(259,1),(267,1),(358,1)}
       311:{4,6}:{(260,1),(355,1),(358,1)}
       312:{3,5,6}:{(261,1),(269,1),(356,1),(359,1),(367,1),(445,1)}
       313:{2,5,6}:{(262,1),(270,1),(357,1),(361,1),(376,1),(452,1)}
       314:{2,5,7}:{(263,1),(267,1),(274,1),(354,1),(362,1),(538,1)}
       315:{2,4,7}:{(264,1),(268,1),(275,1),(355,1),(364,1),(512,1)}
       316:{3,7}:{(265,1),(269,1)}
       317:{2,4,7}:{(266,1),(270,1),(357,1),(365,1),(366,1),(448,1)}
       318:{2,4,5}:{(267,1),(268,1),(277,1),(358,1),(367,1),(376,1),(538,1),(539,1)}
       319:{3,4,6}:{(268,1),(269,1),(271,1),(364,1),(367,1),(395,1),(445,1),(466,1)}
       320:{2,3,6}:{(269,1),(270,1),(272,1),(365,1),(369,1),(501,1)}
       321:{1,4,6}:{(270,1),(273,1),(361,1),(366,1),(369,1)}
       322:{2,3,4}:{(271,1),(272,1),(280,1),(370,1),(386,1),(534,1)}
       323:{1,3,5}:{(272,1),(273,1),(369,1),(370,1),(371,1)}
       324:{1,5,6}:{(274,1),(282,1),(362,1),(372,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(363,1),(372,1),(373,1),(453,1)}
       326:{1,3,4,7}:{(275,1),(276,1),(278,1),(284,1),(364,1),(373,1),(374,1)}
       327:{2,3,7}:{(276,1),(279,1),(374,1),(375,1),(383,1),(448,1)}
       328:{1,3,5}:{(277,1),(278,1),(287,1),(367,1),(376,1)}
       329:{2,4,6}:{(278,1),(279,1),(280,1),(374,1),(376,1),(377,1),(452,1)}
       330:{1,3,6}:{(279,1),(281,1),(375,1),(377,1),(378,1)}
       331:{1,4}:{(280,1),(281,1)}
       332:{1,2,5}:{(281,1),(291,1),(371,1),(378,1),(379,1)}
       333:{2,4,6}:{(282,1),(283,1),(296,1),(372,1),(380,1),(452,1)}
       334:{3,5,7}:{(283,1),(284,1),(287,1),(380,1)}
       335:{2,3,4,7}:{(284,1),(285,1),(288,1),(298,1),(374,1),(381,1),(382,1),(504,1),(536,1)}
       336:{1,3,7}:{(285,1),(286,1),(289,1),(383,1)}
       337:{2,3,5}:{(287,1),(288,1),(300,1),(376,1),(384,1),(549,1)}
       338:{1,3,4,6}:{(288,1),(289,1),(290,1),(301,1),(377,1),(382,1),(384,1),(385,1),(395,1),(456,1),(457,1),(466,1),(508,1),(513,1),(537,1)}
       339:{2,6}:{(289,1),(291,1),(383,1)}
       340:{2,4}:{(290,1),(291,1),(386,1)}
       341:{4,5,6}:{(292,1),(296,1),(387,1),(552,1)}
       342:{3,5,7}:{(292,1),(293,1),(387,1),(388,1)}
       343:{2,4,6,7}:{(293,1),(294,1),(298,1),(388,1),(389,1),(391,1)}
       344:{1,3,6,7}:{(294,1),(295,1),(299,1),(389,1),(390,1),(457,1),(463,1)}
       345:{3,4,6}:{(296,1),(297,1),(380,1),(387,1),(391,1)}
       346:{2,4,5,7}:{(297,1),(298,1),(300,1),(381,1),(388,1),(391,1),(392,1),(536,1),(549,1)}
       347:{1,4,7}:{(298,1),(299,1),(301,1),(393,1),(512,1)}
       348:{2,5,7}:{(299,1),(302,1),(383,1),(390,1),(393,1)}
       349:{1,4,5}:{(300,1),(301,1),(384,1),(394,1),(508,1),(539,1)}
       350:{2,4,6}:{(301,1),(302,1),(393,1),(394,1),(395,1)}
       351:{3,5,6,7}:{(303,1),(307,1),(396,1),(397,1),(399,1),(468,1)}
       352:{2,4,6,7}:{(303,1),(304,1),(308,1),(396,1),(397,1),(398,1),(407,1)}
       353:{1,3,6,7}:{(304,1),(305,1),(309,1),(397,1),(398,1),(415,1)}
       354:{3,5,7}:{(306,1),(310,1),(314,1),(399,1),(400,1),(528,1)}
       355:{4,7}:{(307,1),(311,1)}
       356:{3,5,7}:{(308,1),(312,1),(316,1),(397,1),(401,1)}
       357:{2,5,7}:{(309,1),(313,1),(317,1),(398,1),(403,1)}
       358:{4,5}:{(310,1),(311,1)}
       359:{3,4,6}:{(311,1),(312,1),(401,1),(404,1),(405,1)}
       360:{2,3,5,6}:{(312,1),(313,1),(320,1),(402,1),(405,1),(406,1),(411,1),(477,1),(514,1)}
       361:{1,5,6}:{(313,1),(321,1),(403,1),(419,1),(482,1)}
       362:{2,5,6}:{(314,1),(324,1),(399,1),(407,1)}
       363:{2,4,5,7}:{(314,1),(315,1),(318,1),(325,1),(400,1),(407,1),(408,1),(416,1)}
       364:{3,4,7}:{(315,1),(316,1),(319,1),(408,1),(432,1)}
       365:{2,3,7}:{(316,1),(317,1),(320,1),(410,1),(519,1)}
       366:{1,4,7}:{(317,1),(321,1),(403,1),(410,1)}
       367:{3,5}:{(318,1),(319,1)}
       368:{2,3,4,6}:{(319,1),(320,1),(322,1),(329,1),(405,1),(409,1),(411,1),(412,1),(426,1),(477,1),(488,1),(526,1)}
       369:{1,3,6}:{(320,1),(321,1),(323,1),(410,1),(413,1)}
       370:{1,3,4}:{(322,1),(323,1),(331,1),(414,1),(421,1)}
       371:{2,5}:{(323,1),(413,1),(414,1)}
       372:{1,4,6}:{(324,1),(325,1),(333,1),(407,1),(415,1),(482,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(334,1),(408,1),(415,1),(416,1)}
       374:{2,4,7}:{(326,1),(327,1),(329,1),(416,1),(417,1)}
       375:{1,3,7}:{(327,1),(330,1),(417,1),(418,1)}
       376:{2,5}:{(328,1),(329,1),(419,1)}
       377:{1,4,6}:{(329,1),(330,1),(331,1),(417,1),(419,1),(482,1)}
       378:{1,2,6}:{(330,1),(332,1),(339,1),(413,1),(418,1)}
       379:{1,2,4}:{(331,1),(332,1),(340,1),(414,1),(421,1)}
       380:{3,6}:{(333,1),(334,1)}
       381:{2,3,5,7}:{(334,1),(335,1),(337,1),(346,1),(416,1),(422,1),(423,1)}
       382:{1,3,4,7}:{(335,1),(336,1),(338,1),(347,1),(417,1),(423,1),(424,1),(432,1),(484,1),(492,1),(525,1)}
       383:{2,7}:{(336,1),(339,1)}
       384:{1,3,5}:{(337,1),(338,1),(349,1),(419,1),(425,1),(433,1),(528,1),(545,1)}
       385:{2,4,6}:{(338,1),(339,1),(340,1),(424,1),(425,1),(426,1),(486,1),(488,1)}
       386:{2,3}:{(340,1),(421,1)}
       387:{3,5,6}:{(341,1),(342,1),(345,1),(427,1),(551,1)}
       388:{2,5,7}:{(342,1),(343,1),(427,1),(428,1)}
       389:{1,4,6,7}:{(343,1),(344,1),(347,1),(428,1),(429,1),(430,1)}
       390:{2,6,7}:{(344,1),(348,1),(486,1)}
       391:{2,4,6}:{(345,1),(346,1),(422,1),(427,1),(430,1)}
       392:{1,4,5,7}:{(346,1),(347,1),(349,1),(423,1),(428,1),(430,1),(431,1),(525,1),(545,1)}
       393:{2,4,7}:{(347,1),(348,1),(350,1),(432,1)}
       394:{2,4,5}:{(349,1),(350,1),(425,1),(433,1),(488,1)}
       395:{3,6}:{(350,1),(432,1),(433,1)}
       396:{4,6,7}:{(351,1),(355,1),(434,1),(438,1)}
       397:{3,6,7}:{(352,1),(356,1),(445,1)}
       398:{2,6,7}:{(353,1),(357,1),(437,1),(452,1)}
       399:{3,5,6}:{(354,1),(362,1),(438,1),(445,1)}
       400:{4,5,7}:{(354,1),(355,1),(358,1),(438,1),(512,1),(539,1)}
       401:{3,4,7}:{(355,1),(356,1),(359,1),(440,1)}
       402:{2,3,5,7}:{(356,1),(357,1),(360,1),(365,1),(436,1),(440,1),(441,1),(494,1)}
       403:{1,5,7}:{(357,1),(361,1),(366,1),(437,1)}
       404:{3,4,5}:{(358,1),(359,1),(367,1),(442,1),(466,1)}
       405:{2,4,6}:{(359,1),(360,1),(440,1),(442,1),(443,1)}
       406:{1,3,5,6}:{(360,1),(361,1),(369,1),(441,1),(443,1),(444,1),(449,1),(501,1),(502,1),(529,1),(546,1)}
       407:{2,4,6}:{(362,1),(363,1),(372,1),(438,1),(445,1),(452,1)}
       408:{3,5,7}:{(363,1),(364,1),(367,1),(445,1)}
       409:{2,3,4,7}:{(364,1),(365,1),(368,1),(374,1),(440,1),(446,1),(447,1),(459,1),(510,1)}
       410:{1,3,7}:{(365,1),(366,1),(369,1),(448,1)}
       411:{2,3,5}:{(367,1),(368,1),(376,1),(442,1),(449,1),(538,1)}
       412:{1,3,4,6}:{(368,1),(369,1),(370,1),(377,1),(443,1),(447,1),(449,1),(450,1),(456,1),(501,1),(502,1),(508,1),(534,1),(537,1),(548,1)}
       413:{2,6}:{(369,1),(371,1),(448,1)}
       414:{2,4}:{(370,1),(371,1),(451,1)}
       415:{1,3,6}:{(372,1),(373,1),(380,1),(445,1),(452,1)}
       416:{2,5,7}:{(373,1),(374,1),(376,1),(452,1),(453,1)}
       417:{1,4,7}:{(374,1),(375,1),(377,1),(453,1)}
       418:{1,2,7}:{(375,1),(378,1),(383,1),(448,1)}
       419:{1,5}:{(376,1),(377,1)}
       420:{1,2,4,6}:{(377,1),(378,1),(379,1),(385,1),(450,1),(454,1),(455,1),(456,1),(506,1),(508,1),(537,1)}
       421:{1,3}:{(379,1),(386,1),(451,1)}
       422:{2,3,6}:{(380,1),(381,1),(391,1),(452,1),(457,1)}
       423:{1,3,5,7}:{(381,1),(382,1),(384,1),(392,1),(453,1),(457,1),(458,1),(465,1)}
       424:{2,4,7}:{(382,1),(383,1),(385,1),(458,1),(459,1)}
       425:{2,5}:{(384,1),(385,1)}
       426:{2,3,6}:{(385,1),(386,1),(395,1),(456,1),(459,1),(460,1)}
       427:{2,5,6}:{(387,1),(388,1),(391,1),(461,1),(549,1)}
       428:{1,5,7}:{(388,1),(389,1),(461,1),(462,1)}
       429:{2,4,6,7}:{(389,1),(390,1),(393,1),(462,1),(463,1),(464,1),(512,1)}
       430:{1,4,6}:{(391,1),(392,1),(457,1),(461,1),(464,1)}
       431:{2,4,5,7}:{(392,1),(393,1),(394,1),(458,1),(462,1),(464,1),(465,1),(510,1),(512,1),(538,1),(539,1)}
       432:{3,7}:{(393,1),(395,1)}
       433:{3,5}:{(394,1),(395,1),(466,1)}
       434:{4,5,7}:{(396,1),(467,1),(468,1)}
       435:{3,4,6,7}:{(396,1),(397,1),(401,1),(468,1),(469,1),(471,1)}
       436:{2,3,6,7}:{(397,1),(398,1),(402,1),(469,1),(470,1),(477,1)}
       437:{1,6,7}:{(398,1),(403,1),(482,1)}
       438:{4,6}:{(399,1),(400,1)}
       439:{3,4,5,7}:{(400,1),(401,1),(404,1),(408,1),(468,1),(471,1),(472,1),(492,1),(528,1)}
       440:{2,4,7}:{(401,1),(402,1),(405,1),(473,1)}
       441:{1,3,5,7}:{(402,1),(403,1),(406,1),(410,1),(470,1),(473,1),(474,1),(515,1),(519,1),(541,1)}
       442:{2,4,5}:{(404,1),(405,1),(411,1),(475,1),(488,1)}
       443:{1,4,6}:{(405,1),(406,1),(473,1),(475,1),(476,1),(550,1)}
       444:{2,5,6}:{(406,1),(413,1),(474,1),(476,1),(480,1),(521,1)}
       445:{3,6}:{(407,1),(408,1)}
       446:{2,3,5,7}:{(408,1),(409,1),(411,1),(416,1),(472,1),(477,1),(478,1)}
       447:{1,3,4,7}:{(409,1),(410,1),(412,1),(417,1),(473,1),(478,1),(479,1),(484,1),(519,1),(525,1),(543,1)}
       448:{2,7}:{(410,1),(413,1)}
       449:{1,3,5}:{(411,1),(412,1),(419,1),(475,1),(480,1),(520,1),(545,1),(551,1)}
       450:{2,4,6}:{(412,1),(413,1),(414,1),(479,1),(480,1),(481,1),(521,1),(523,1)}
       451:{2,3}:{(414,1),(421,1)}
       452:{2,6}:{(415,1),(416,1),(482,1)}
       453:{1,5,7}:{(416,1),(417,1),(419,1),(482,1)}
       454:{1,2,4,7}:{(417,1),(418,1),(420,1),(424,1),(479,1),(483,1),(484,1),(525,1)}
       455:{1,2,5}:{(419,1),(420,1),(425,1),(480,1),(485,1),(545,1)}
       456:{1,3,6}:{(420,1),(421,1),(426,1),(481,1),(484,1),(485,1)}
       457:{1,3,6}:{(422,1),(423,1),(430,1),(482,1),(486,1),(491,1)}
       458:{2,5,7}:{(423,1),(424,1),(425,1),(486,1)}
       459:{2,3,7}:{(424,1),(426,1),(432,1),(484,1)}
       460:{2,3,5}:{(425,1),(426,1),(433,1),(485,1),(488,1)}
       461:{1,5,6}:{(427,1),(428,1),(430,1),(489,1),(545,1)}
       462:{2,5,7}:{(428,1),(429,1),(489,1),(490,1)}
       463:{3,6,7}:{(429,1),(432,1),(490,1),(491,1)}
       464:{2,4,6}:{(430,1),(431,1),(486,1),(489,1),(491,1),(527,1)}
       465:{3,5,7}:{(431,1),(432,1),(433,1),(491,1),(492,1),(528,1)}
       466:{3,4}:{(433,1),(488,1)}
       467:{4,5,6}:{(434,1),(438,1),(493,1),(539,1)}
       468:{3,5,7}:{(434,1),(435,1),(493,1),(494,1)}
       469:{2,4,6,7}:{(435,1),(436,1),(440,1),(494,1),(495,1),(497,1)}
       470:{1,3,6,7}:{(436,1),(437,1),(441,1),(495,1),(496,1),(502,1),(531,1)}
       471:{3,4,6}:{(438,1),(439,1),(445,1),(493,1),(497,1)}
       472:{2,4,5,7}:{(439,1),(440,1),(442,1),(446,1),(494,1),(497,1),(498,1),(510,1),(538,1)}
       473:{1,4,7}:{(440,1),(441,1),(443,1),(499,1),(547,1)}
       474:{2,5,7}:{(441,1),(444,1),(448,1),(496,1),(499,1)}
       475:{1,4,5}:{(442,1),(443,1),(449,1),(500,1),(508,1),(552,1)}
       476:{2,4,6}:{(443,1),(444,1),(499,1),(500,1),(501,1)}
       477:{2,3,6}:{(445,1),(446,1),(452,1),(497,1),(502,1)}
       478:{1,3,5,7}:{(446,1),(447,1),(449,1),(453,1),(498,1),(502,1),(503,1),(533,1)}
       479:{2,4,7}:{(447,1),(448,1),(450,1),(503,1),(504,1)}
       480:{2,5}:{(449,1),(450,1)}
       481:{2,3,6}:{(450,1),(451,1),(456,1),(501,1),(504,1),(505,1)}
       482:{1,6}:{(452,1),(453,1)}
       483:{1,2,5,7}:{(453,1),(454,1),(455,1),(458,1),(503,1),(506,1),(507,1)}
       484:{1,3,7}:{(454,1),(456,1),(459,1),(504,1)}
       485:{1,3,5}:{(455,1),(456,1),(460,1),(505,1),(508,1)}
       486:{2,6}:{(457,1),(458,1)}
       487:{2,3,5,7}:{(458,1),(459,1),(460,1),(465,1),(507,1),(509,1),(510,1),(538,1)}
       488:{2,4}:{(460,1),(466,1),(508,1)}
       489:{2,5,6}:{(461,1),(462,1),(464,1),(511,1),(538,1)}
       490:{3,5,7}:{(462,1),(463,1),(511,1),(512,1)}
       491:{3,6}:{(464,1),(465,1)}
       492:{3,4,7}:{(465,1),(466,1),(510,1),(512,1),(513,1)}
       493:{3,5,6}:{(467,1),(468,1),(471,1),(514,1),(528,1)}
       494:{2,5,7}:{(468,1),(469,1),(514,1),(515,1)}
       495:{1,4,6,7}:{(469,1),(470,1),(473,1),(515,1),(516,1),(517,1)}
       496:{2,6,7}:{(470,1),(474,1),(521,1)}
       497:{2,4,6}:{(471,1),(472,1),(477,1),(514,1),(517,1)}
       498:{1,4,5,7}:{(472,1),(473,1),(475,1),(478,1),(515,1),(517,1),(518,1),(525,1),(545,1)}
       499:{2,4,7}:{(473,1),(474,1),(476,1),(519,1)}
       500:{2,4,5}:{(475,1),(476,1),(480,1),(520,1),(523,1)}
       501:{3,6}:{(476,1),(519,1),(520,1)}
       502:{1,3,6}:{(477,1),(478,1),(482,1),(517,1),(521,1),(542,1)}
       503:{2,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,3,7}:{(479,1),(481,1),(484,1),(519,1)}
       505:{2,3,5}:{(480,1),(481,1),(485,1),(520,1),(523,1)}
       506:{1,2,6}:{(482,1),(483,1),(486,1),(521,1),(524,1)}
       507:{1,3,5,7}:{(483,1),(484,1),(485,1),(487,1),(522,1),(524,1),(525,1),(545,1)}
       508:{1,4}:{(485,1),(488,1),(523,1)}
       509:{2,3,6}:{(486,1),(487,1),(491,1),(524,1),(526,1)}
       510:{2,4,7}:{(487,1),(488,1),(492,1),(525,1),(526,1)}
       511:{3,5,6}:{(489,1),(490,1),(491,1),(527,1),(528,1)}
       512:{4,7}:{(490,1),(527,1)}
       513:{3,4,6}:{(491,1),(492,1),(526,1),(527,1),(528,1)}
       514:{2,5,6}:{(493,1),(494,1),(497,1),(529,1),(538,1)}
       515:{1,5,7}:{(494,1),(495,1),(529,1),(530,1)}
       516:{2,4,6,7}:{(495,1),(496,1),(499,1),(530,1),(531,1),(532,1),(547,1)}
       517:{1,4,6}:{(497,1),(498,1),(502,1),(529,1),(532,1)}
       518:{2,4,5,7}:{(498,1),(499,1),(500,1),(503,1),(530,1),(532,1),(533,1),(536,1),(547,1),(549,1),(552,1)}
       519:{3,7}:{(499,1),(501,1)}
       520:{3,5}:{(500,1),(501,1),(534,1)}
       521:{2,6}:{(502,1),(503,1)}
       522:{2,3,5,7}:{(503,1),(504,1),(505,1),(507,1),(533,1),(535,1),(536,1),(549,1)}
       523:{2,4}:{(505,1),(508,1),(534,1)}
       524:{1,3,6}:{(506,1),(507,1),(509,1),(535,1),(537,1)}
       525:{1,4,7}:{(507,1),(508,1),(510,1),(536,1),(537,1)}
       526:{2,4,6}:{(509,1),(510,1),(513,1),(537,1),(538,1)}
       527:{4,6}:{(511,1),(512,1),(539,1)}
       528:{3,5}:{(513,1),(538,1),(539,1)}
       529:{1,5,6}:{(514,1),(515,1),(517,1),(540,1),(545,1)}
       530:{2,5,7}:{(515,1),(516,1),(540,1),(541,1)}
       531:{3,6,7}:{(516,1),(519,1),(541,1),(542,1)}
       532:{2,4,6}:{(517,1),(518,1),(521,1),(540,1),(542,1),(550,1)}
       533:{3,5,7}:{(518,1),(519,1),(520,1),(542,1),(543,1),(551,1)}
       534:{3,4}:{(520,1),(523,1)}
       535:{2,3,6}:{(521,1),(522,1),(524,1),(542,1),(544,1)}
       536:{2,4,7}:{(522,1),(523,1),(525,1),(543,1),(544,1)}
       537:{1,4,6}:{(524,1),(525,1),(526,1),(544,1),(545,1)}
       538:{2,5}:{(526,1),(528,1),(545,1)}
       539:{4,5}:{(527,1),(528,1)}
       540:{2,5,6}:{(529,1),(530,1),(532,1),(546,1),(549,1)}
       541:{3,5,7}:{(530,1),(531,1),(546,1),(547,1)}
       542:{3,6}:{(532,1),(533,1)}
       543:{3,4,7}:{(533,1),(534,1),(536,1),(547,1),(548,1)}
       544:{2,4,6}:{(535,1),(536,1),(537,1),(548,1),(549,1)}
       545:{1,5}:{(537,1),(538,1),(549,1)}
       546:{3,5,6}:{(540,1),(541,1),(542,1),(550,1),(551,1)}
       547:{4,7}:{(541,1),(550,1)}
       548:{3,4,6}:{(542,1),(543,1),(544,1),(550,1),(551,1)}
       549:{2,5}:{(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5}:{(548,1),(549,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1117 :   0:{3,4,5}:{(3,1),(4,1),(115,1),(139,1)}
         1:{2,3,4}:{(5,1),(6,1),(63,1),(101,1)}
         2:{4,5,6}:{(8,1),(9,1),(145,1),(152,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1)}
         4:{2,4,5}:{(0,1),(5,1),(11,1),(12,1),(101,1),(130,1)}
         5:{2,3,5}:{(1,1),(4,1),(14,1),(15,1)}
         6:{1,3,4}:{(1,1),(15,1),(16,1),(44,1),(53,1),(85,1)}
         7:{5,6,7}:{(17,1),(153,1)}
         8:{4,5,7}:{(2,1),(17,1),(18,1)}
         9:{3,5,6}:{(2,1),(3,1),(18,1),(19,1),(139,1),(150,1)}
        10:{3,4,7}:{(3,1),(18,1),(20,1)}
        11:{2,4,6}:{(3,1),(4,1),(14,1),(19,1),(20,1),(21,1)}
        12:{1,4,5}:{(4,1),(15,1),(21,1),(22,1),(85,1),(119,1)}
        13:{2,3,4}:{(24,1),(25,1),(30,1),(68,1)}
        14:{2,3,6}:{(5,1),(11,1),(27,1),(28,1)}
        15:{1,3,5}:{(5,1),(6,1),(12,1),(28,1),(29,1),(36,1)}
        16:{2,4}:{(6,1),(29,1),(30,1)}
        17:{4,6,7}:{(7,1),(8,1),(31,1),(152,1)}
        18:{3,5,7}:{(8,1),(9,1),(10,1),(31,1),(32,1)}
        19:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(130,1),(147,1)}
        20:{2,4,7}:{(10,1),(11,1),(27,1),(32,1),(34,1)}
        21:{1,4,6}:{(11,1),(12,1),(28,1),(33,1),(34,1),(35,1)}
        22:{2,4,5}:{(12,1),(29,1),(35,1),(36,1),(68,1),(105,1),(108,1)}
        23:{3,4,5}:{(38,1),(39,1),(53,1),(92,1)}
        24:{2,3,5}:{(13,1),(39,1),(40,1),(41,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1),(44,1),(85,1),(115,1)}
        26:{1,2,4}:{(16,1),(42,1),(43,1),(44,1),(85,1)}
        27:{2,3,7}:{(14,1),(20,1),(45,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(45,1),(46,1),(52,1)}
        29:{2,5}:{(15,1),(16,1),(46,1)}
        30:{2,3}:{(16,1),(44,1)}
        31:{3,6,7}:{(17,1),(18,1),(48,1),(150,1)}
        32:{2,5,7}:{(18,1),(19,1),(20,1),(48,1),(49,1)}
        33:{1,5,6}:{(19,1),(21,1),(49,1),(50,1),(119,1),(141,1)}
        34:{1,4,7}:{(20,1),(21,1),(45,1),(49,1),(51,1)}
        35:{2,4,6}:{(21,1),(22,1),(46,1),(50,1),(51,1),(52,1),(90,1)}
        36:{3,5}:{(22,1),(52,1),(53,1)}
        37:{4,5,6}:{(55,1),(56,1),(108,1),(134,1)}
        38:{3,4,6}:{(23,1),(56,1),(57,1),(58,1)}
        39:{2,4,5}:{(23,1),(24,1),(58,1),(59,1),(68,1),(105,1)}
        40:{2,3,6}:{(24,1),(58,1),(60,1),(61,1)}
        41:{1,3,5}:{(24,1),(25,1),(59,1),(61,1),(62,1),(98,1)}
        42:{2,4}:{(25,1),(62,1),(63,1)}
        43:{1,2,5}:{(26,1),(29,1),(62,1),(64,1),(65,1)}
        44:{1,3}:{(26,1),(30,1),(63,1)}
        45:{1,3,7}:{(27,1),(28,1),(34,1),(66,1),(72,1)}
        46:{2,6}:{(28,1),(29,1),(66,1)}
        47:{2,3,5}:{(29,1),(30,1),(36,1),(65,1),(67,1),(68,1),(105,1)}
        48:{2,6,7}:{(31,1),(32,1),(69,1),(147,1)}
        49:{1,5,7}:{(32,1),(33,1),(34,1),(69,1),(70,1)}
        50:{2,5,6}:{(33,1),(35,1),(70,1),(71,1),(105,1),(132,1)}
        51:{2,4,7}:{(34,1),(35,1),(66,1),(70,1),(72,1),(107,1)}
        52:{3,6}:{(35,1),(36,1),(72,1)}
        53:{3,4}:{(36,1),(68,1)}
        54:{5,6,7}:{(74,1),(142,1)}
        55:{4,5,7}:{(37,1),(74,1),(75,1)}
        56:{3,5,6}:{(37,1),(38,1),(75,1),(76,1),(92,1),(123,1)}
        57:{3,4,7}:{(38,1),(75,1),(77,1)}
        58:{2,4,6}:{(38,1),(39,1),(40,1),(76,1),(77,1),(78,1)}
        59:{1,4,5}:{(39,1),(41,1),(78,1),(79,1),(85,1),(119,1)}
        60:{2,3,7}:{(40,1),(77,1),(80,1)}
        61:{1,3,6}:{(40,1),(41,1),(78,1),(80,1),(81,1),(114,1)}
        62:{2,5}:{(41,1),(42,1),(81,1)}
        63:{2,3}:{(42,1),(44,1)}
        64:{1,2,6}:{(43,1),(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,5}:{(43,1),(44,1),(47,1),(82,1),(84,1),(85,1),(119,1)}
        66:{2,7}:{(45,1),(46,1)}
        67:{2,3,6}:{(46,1),(47,1),(52,1),(84,1),(86,1),(87,1)}
        68:{2,4}:{(47,1),(53,1),(85,1)}
        69:{1,6,7}:{(48,1),(49,1),(88,1),(141,1)}
        70:{2,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1)}
        71:{3,5,6}:{(50,1),(52,1),(89,1),(90,1),(92,1),(123,1),(142,1)}
        72:{3,7}:{(51,1),(52,1)}
        73:{3,4,6}:{(52,1),(53,1),(87,1),(90,1),(91,1),(92,1),(123,1)}
        74:{4,6,7}:{(54,1),(55,1),(93,1),(134,1)}
        75:{3,5,7}:{(55,1),(56,1),(57,1),(93,1),(94,1)}
        76:{2,5,6}:{(56,1),(58,1),(94,1),(95,1),(105,1),(132,1)}
        77:{2,4,7}:{(57,1),(58,1),(60,1),(94,1),(96,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(95,1),(96,1),(97,1)}
        79:{2,4,5}:{(59,1),(62,1),(97,1),(98,1),(101,1),(130,1),(145,1)}
        80:{1,3,7}:{(60,1),(61,1),(96,1),(99,1),(127,1)}
        81:{2,6}:{(61,1),(62,1),(99,1)}
        82:{2,3,5}:{(62,1),(63,1),(65,1),(98,1),(100,1),(101,1),(130,1)}
        83:{1,2,7}:{(64,1),(66,1),(99,1),(102,1)}
        84:{1,3,6}:{(64,1),(65,1),(67,1),(100,1),(102,1),(103,1)}
        85:{1,4}:{(65,1),(68,1),(101,1)}
        86:{2,3,7}:{(66,1),(67,1),(72,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(73,1),(103,1),(104,1),(105,1),(132,1)}
        88:{2,6,7}:{(69,1),(70,1),(106,1),(132,1)}
        89:{3,5,7}:{(70,1),(71,1),(72,1),(106,1),(107,1),(133,1)}
        90:{4,6}:{(71,1),(107,1),(108,1)}
        91:{3,4,7}:{(72,1),(73,1),(104,1),(107,1),(109,1)}
        92:{3,5}:{(73,1),(105,1),(108,1)}
        93:{3,6,7}:{(74,1),(75,1),(110,1),(123,1)}
        94:{2,5,7}:{(75,1),(76,1),(77,1),(110,1),(111,1)}
        95:{1,5,6}:{(76,1),(78,1),(111,1),(112,1),(119,1),(141,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(113,1)}
        97:{2,4,6}:{(78,1),(79,1),(81,1),(112,1),(113,1),(114,1),(137,1)}
        98:{3,5}:{(79,1),(114,1),(115,1)}
        99:{2,7}:{(80,1),(81,1)}
       100:{2,3,6}:{(81,1),(82,1),(84,1),(114,1),(116,1),(117,1)}
       101:{2,4}:{(82,1),(85,1),(115,1)}
       102:{1,3,7}:{(83,1),(84,1),(86,1),(116,1),(118,1)}
       103:{1,4,6}:{(84,1),(85,1),(87,1),(117,1),(118,1),(119,1),(141,1)}
       104:{2,4,7}:{(86,1),(87,1),(91,1),(118,1),(120,1)}
       105:{2,5}:{(87,1),(92,1),(119,1)}
       106:{3,6,7}:{(88,1),(89,1),(121,1),(123,1)}
       107:{4,7}:{(89,1),(90,1)}
       108:{4,5}:{(90,1),(92,1)}
       109:{3,5,7}:{(91,1),(92,1),(120,1),(122,1),(123,1)}
       110:{2,6,7}:{(93,1),(94,1),(124,1),(132,1)}
       111:{1,5,7}:{(94,1),(95,1),(96,1),(124,1),(125,1)}
       112:{2,5,6}:{(95,1),(97,1),(125,1),(126,1),(130,1),(147,1)}
       113:{2,4,7}:{(96,1),(97,1),(99,1),(125,1),(127,1),(144,1)}
       114:{3,6}:{(97,1),(98,1),(127,1)}
       115:{3,4}:{(98,1),(101,1)}
       116:{2,3,7}:{(99,1),(100,1),(102,1),(127,1),(129,1)}
       117:{2,4,6}:{(100,1),(101,1),(103,1),(128,1),(129,1),(130,1),(147,1)}
       118:{1,4,7}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       119:{1,5}:{(103,1),(105,1),(130,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(131,1),(132,1)}
       121:{4,6,7}:{(106,1),(107,1),(133,1),(134,1)}
       122:{4,5,7}:{(107,1),(108,1),(109,1),(133,1),(134,1)}
       123:{3,6}:{(109,1),(132,1),(134,1)}
       124:{1,6,7}:{(110,1),(111,1),(135,1),(141,1)}
       125:{2,5,7}:{(111,1),(112,1),(113,1),(135,1),(136,1)}
       126:{3,5,6}:{(112,1),(114,1),(136,1),(137,1),(139,1),(150,1),(153,1)}
       127:{3,7}:{(113,1),(114,1)}
       128:{3,4,6}:{(114,1),(115,1),(117,1),(137,1),(138,1),(139,1),(150,1)}
       129:{2,4,7}:{(116,1),(117,1),(118,1),(138,1),(140,1)}
       130:{2,5}:{(117,1),(119,1),(139,1)}
       131:{1,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1)}
       132:{2,6}:{(120,1),(123,1),(141,1)}
       133:{5,7}:{(121,1),(142,1)}
       134:{4,6}:{(122,1),(123,1),(142,1)}
       135:{2,6,7}:{(124,1),(125,1),(143,1),(147,1)}
       136:{3,5,7}:{(125,1),(126,1),(127,1),(143,1),(144,1),(151,1)}
       137:{4,6}:{(126,1),(144,1),(145,1)}
       138:{3,4,7}:{(127,1),(128,1),(129,1),(144,1),(146,1)}
       139:{3,5}:{(128,1),(130,1),(145,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(146,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{3,6,7}:{(135,1),(136,1),(148,1),(150,1)}
       144:{4,7}:{(136,1),(137,1)}
       145:{4,5}:{(137,1),(139,1)}
       146:{3,5,7}:{(138,1),(139,1),(140,1),(149,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1118 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1119 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1120 :   0:{2,4,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(71,1),(136,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(19,1),(22,1),(48,1),(108,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(100,1),(173,1)}
         3:{2,4,5,6,7}:{(1,1),(7,1),(9,1),(29,1),(38,1),(84,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(143,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(11,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(11,1),(12,1),(32,1),(35,1)}
         7:{3,5,6,7}:{(3,1),(15,1),(58,1),(114,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(17,1),(18,1),(22,1),(48,1),(52,1),(58,1),(100,1)}
         9:{2,5,6,7}:{(4,1),(18,1),(19,1),(181,1)}
        10:{3,4,5,7}:{(5,1),(13,1),(20,1),(173,1),(255,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(22,1)}
        12:{1,3,5,6,7}:{(6,1),(19,1),(22,1),(23,1),(52,1),(55,1),(58,1)}
        13:{3,4,5,6}:{(10,1),(25,1),(213,1),(265,1)}
        14:{2,3,4,5,7}:{(26,1),(27,1),(35,1),(73,1),(116,1),(125,1),(209,1),(217,1),(221,1),(266,1),(283,1)}
        15:{3,4,6,7}:{(7,1),(28,1),(29,1)}
        16:{2,3,5,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(68,1)}
        17:{1,3,4,5,7}:{(8,1),(10,1),(24,1),(28,1),(31,1),(36,1),(69,1),(74,1),(80,1),(132,1),(140,1),(143,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(76,1)}
        19:{1,5,6,7}:{(9,1),(33,1),(219,1)}
        20:{2,4,5,7}:{(10,1),(11,1),(25,1),(35,1),(36,1),(221,1)}
        21:{2,3,4,6,7}:{(11,1),(26,1),(32,1),(35,1),(37,1),(73,1),(135,1),(142,1),(148,1),(221,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(38,1),(76,1),(79,1)}
        24:{1,3,4,5,6}:{(13,1),(17,1),(40,1),(42,1),(45,1),(86,1),(89,1),(95,1),(156,1),(166,1),(182,1)}
        25:{2,4,5,6}:{(13,1),(20,1),(41,1),(42,1),(232,1)}
        26:{2,3,4,6}:{(14,1),(41,1),(43,1),(160,1),(232,1),(245,1),(253,1),(302,1)}
        27:{1,3,4,5,7}:{(14,1),(43,1),(44,1),(55,1),(92,1),(102,1),(111,1),(152,1),(159,1),(184,1),(233,1),(252,1)}
        28:{3,4,5,7}:{(15,1),(45,1),(46,1),(114,1),(296,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(46,1),(48,1)}
        30:{1,3,5,6,7}:{(16,1),(19,1),(48,1),(49,1),(52,1),(97,1),(100,1)}
        31:{2,4,5,7}:{(17,1),(18,1),(40,1),(50,1),(51,1),(103,1),(178,1),(181,1)}
        32:{2,3,6,7}:{(18,1),(50,1),(52,1),(58,1),(100,1)}
        33:{1,4,6,7}:{(18,1),(19,1),(51,1),(52,1)}
        34:{1,2,5,6,7}:{(19,1),(23,1),(49,1),(53,1),(54,1),(105,1),(109,1),(168,1),(181,1),(254,1),(258,1),(299,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(41,1),(55,1),(173,1),(181,1)}
        36:{1,4,5,7}:{(20,1),(22,1),(42,1),(55,1),(56,1),(184,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(43,1),(52,1),(55,1),(57,1),(58,1),(102,1),(111,1),(112,1),(180,1),(184,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(56,1),(58,1)}
        39:{2,3,5,6,7}:{(23,1),(54,1),(58,1),(59,1),(106,1),(110,1),(114,1),(181,1),(189,1),(242,1),(299,1),(314,1)}
        40:{2,4,5,6}:{(24,1),(31,1),(60,1),(61,1),(118,1),(194,1),(220,1)}
        41:{2,3,5,6}:{(25,1),(26,1),(35,1),(62,1),(213,1),(220,1)}
        42:{1,4,5,6}:{(25,1),(36,1),(62,1),(63,1),(197,1)}
        43:{1,3,4,6}:{(26,1),(27,1),(62,1),(64,1),(122,1),(123,1),(197,1),(282,1)}
        44:{2,4,5,7}:{(27,1),(64,1),(66,1),(79,1),(137,1),(146,1),(190,1),(198,1)}
        45:{3,4,5,6}:{(28,1),(67,1),(151,1),(307,1)}
        46:{2,4,5,7}:{(28,1),(29,1),(67,1),(68,1),(69,1),(274,1)}
        47:{2,3,4,6,7}:{(29,1),(32,1),(68,1),(70,1),(73,1),(83,1),(127,1),(142,1),(210,1),(274,1)}
        48:{1,4,6,7}:{(29,1),(30,1),(69,1),(71,1)}
        49:{2,5,6,7}:{(30,1),(71,1),(76,1),(131,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(60,1),(73,1),(74,1),(80,1),(132,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(61,1),(74,1),(216,1),(219,1)}
        52:{1,3,6,7}:{(32,1),(33,1),(74,1),(76,1)}
        53:{1,2,4,6,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1),(77,1),(78,1),(142,1),(282,1),(284,1),(310,1),(311,1)}
        54:{1,3,5,6,7}:{(34,1),(39,1),(72,1),(77,1),(78,1),(141,1),(143,1),(145,1),(207,1),(219,1),(225,1),(278,1)}
        55:{1,3,5,7}:{(35,1),(36,1),(37,1),(62,1),(79,1),(80,1),(219,1)}
        56:{2,4,5,7}:{(36,1),(38,1),(63,1),(79,1),(80,1),(146,1)}
        57:{2,4,6,7}:{(37,1),(64,1),(76,1),(79,1),(82,1),(137,1),(146,1)}
        58:{3,6,7}:{(38,1),(80,1)}
        59:{2,4,6,7}:{(39,1),(78,1),(83,1),(84,1),(146,1),(223,1),(274,1),(310,1)}
        60:{2,3,5,6}:{(40,1),(50,1),(85,1),(86,1),(89,1),(166,1)}
        61:{1,4,5,6}:{(40,1),(51,1),(86,1),(230,1),(254,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(43,1),(55,1),(88,1),(89,1),(254,1)}
        63:{2,4,5,6}:{(42,1),(56,1),(88,1),(89,1),(158,1)}
        64:{2,4,6}:{(43,1),(44,1),(88,1),(91,1)}
        65:{1,2,4,5,7}:{(44,1),(90,1),(92,1),(109,1),(163,1),(175,1),(184,1),(226,1),(233,1),(234,1),(252,1),(256,1),(300,1)}
        66:{2,3,5,7}:{(44,1),(91,1),(92,1),(93,1),(162,1),(176,1),(227,1)}
        67:{2,4,5,6}:{(45,1),(46,1),(94,1),(95,1),(293,1)}
        68:{2,3,5,7}:{(46,1),(47,1),(94,1),(97,1),(114,1),(181,1)}
        69:{1,4,5,7}:{(46,1),(48,1),(95,1),(97,1),(98,1),(243,1)}
        70:{1,3,4,6,7}:{(47,1),(48,1),(52,1),(97,1),(99,1),(100,1),(102,1),(164,1),(170,1),(171,1),(180,1),(243,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(98,1),(100,1)}
        72:{2,3,5,6,7}:{(49,1),(54,1),(100,1),(101,1),(106,1),(169,1),(173,1),(181,1),(183,1),(248,1),(258,1),(302,1)}
        73:{2,3,4,7}:{(50,1),(85,1),(102,1),(111,1),(170,1),(178,1),(249,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(52,1),(86,1),(102,1),(103,1)}
        75:{1,2,4,5,7}:{(51,1),(53,1),(56,1),(87,1),(98,1),(103,1),(104,1),(108,1),(109,1),(168,1),(175,1),(178,1),(181,1),(184,1),(243,1),(252,1),(256,1),(297,1),(300,1)}
        76:{2,6,7}:{(52,1),(103,1)}
        77:{1,3,6,7}:{(53,1),(58,1),(100,1),(104,1),(106,1),(301,1),(302,1),(314,1)}
        78:{1,4,6,7}:{(54,1),(59,1),(101,1),(108,1),(184,1),(243,1),(257,1),(298,1)}
        79:{2,5,7}:{(55,1),(57,1),(88,1)}
        80:{3,5,7}:{(56,1),(58,1),(89,1),(111,1)}
        81:{1,2,4,6,7}:{(57,1),(90,1),(105,1),(109,1),(112,1),(175,1),(180,1),(184,1),(187,1)}
        82:{2,3,6,7}:{(57,1),(58,1),(91,1),(110,1),(112,1),(176,1)}
        83:{3,4,6,7}:{(58,1),(59,1),(111,1),(114,1),(186,1),(296,1),(314,1)}
        84:{2,4,5,7}:{(59,1),(108,1),(114,1),(115,1),(181,1)}
        85:{2,3,4,6}:{(60,1),(73,1),(116,1),(117,1),(122,1),(194,1),(204,1),(261,1)}
        86:{1,3,5,6}:{(60,1),(61,1),(74,1),(117,1),(118,1)}
        87:{1,2,4,5,6}:{(61,1),(63,1),(75,1),(118,1),(119,1),(120,1),(129,1),(144,1),(191,1),(194,1),(197,1),(202,1),(220,1),(264,1),(266,1),(270,1),(282,1),(284,1),(304,1),(308,1),(310,1),(311,1)}
        88:{2,5,6}:{(62,1),(64,1),(79,1)}
        89:{3,5,6}:{(63,1),(80,1),(122,1)}
        90:{1,2,4,6}:{(64,1),(65,1),(120,1),(123,1),(197,1),(199,1),(282,1),(284,1),(311,1)}
        91:{2,3,6}:{(64,1),(66,1),(123,1)}
        92:{1,3,5,7}:{(65,1),(66,1),(123,1),(125,1),(126,1),(200,1),(214,1),(259,1),(283,1)}
        93:{2,3,4,7}:{(66,1),(124,1),(126,1),(146,1),(260,1)}
        94:{2,3,5,6}:{(67,1),(68,1),(127,1),(128,1),(151,1),(220,1)}
        95:{1,4,5,6}:{(67,1),(69,1),(128,1),(129,1),(270,1)}
        96:{2,3,4,5,7}:{(68,1),(73,1),(116,1),(127,1),(130,1),(147,1),(217,1),(272,1),(274,1),(308,1),(309,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(70,1),(128,1),(131,1),(132,1),(219,1)}
        98:{2,4,5,7}:{(69,1),(71,1),(129,1),(131,1),(132,1),(208,1)}
        99:{2,4,6,7}:{(70,1),(76,1),(131,1),(134,1),(137,1),(201,1),(208,1)}
       100:{3,6,7}:{(71,1),(132,1)}
       101:{2,4,6,7}:{(72,1),(78,1),(135,1),(136,1),(208,1),(221,1),(276,1),(284,1)}
       102:{1,3,4,7}:{(73,1),(74,1),(117,1),(137,1),(214,1),(216,1)}
       103:{2,5,7}:{(74,1),(76,1),(118,1),(137,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(80,1),(119,1),(132,1),(139,1),(140,1),(214,1),(283,1),(309,1)}
       105:{1,2,6,7}:{(76,1),(138,1),(141,1),(311,1)}
       106:{2,3,6,7}:{(76,1),(77,1),(139,1),(141,1),(142,1),(281,1),(311,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(83,1),(135,1),(140,1),(142,1),(143,1),(218,1)}
       108:{1,4,5,7}:{(78,1),(84,1),(136,1),(143,1),(144,1),(219,1)}
       109:{1,2,5,7}:{(79,1),(81,1),(120,1),(145,1),(219,1),(224,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(82,1),(121,1),(145,1),(146,1)}
       111:{3,4,7}:{(80,1),(122,1),(146,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(123,1),(145,1),(148,1),(214,1)}
       113:{2,3,4,6,7}:{(82,1),(83,1),(124,1),(142,1),(146,1),(149,1),(150,1),(215,1),(223,1),(281,1)}
       114:{3,5,7}:{(83,1),(84,1),(151,1)}
       115:{2,4,5,6}:{(84,1),(144,1),(151,1),(220,1),(223,1),(310,1)}
       116:{2,3,4,5}:{(85,1),(152,1),(159,1),(231,1),(239,1),(285,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(102,1),(152,1),(153,1),(228,1),(230,1)}
       118:{2,5,6}:{(86,1),(103,1),(153,1)}
       119:{1,3,5,6}:{(87,1),(89,1),(104,1),(155,1),(156,1),(166,1),(228,1),(288,1),(289,1),(301,1),(302,1),(313,1),(314,1)}
       120:{1,2,5,6}:{(88,1),(90,1),(109,1),(157,1),(234,1),(254,1),(258,1)}
       121:{2,3,5,6}:{(88,1),(89,1),(91,1),(110,1),(157,1),(158,1),(162,1)}
       122:{3,4,6}:{(89,1),(111,1),(158,1),(159,1)}
       123:{1,3,6}:{(90,1),(91,1),(92,1),(160,1),(302,1)}
       124:{2,3,4,6}:{(91,1),(93,1),(158,1),(161,1),(162,1)}
       125:{2,3,5,7}:{(92,1),(160,1),(163,1),(234,1),(249,1),(285,1),(300,1)}
       126:{1,3,4,7}:{(92,1),(93,1),(161,1),(163,1),(184,1),(255,1),(286,1)}
       127:{2,3,4,6}:{(94,1),(96,1),(164,1),(186,1),(253,1),(290,1),(293,1),(314,1)}
       128:{1,3,5,6}:{(94,1),(95,1),(97,1),(164,1),(165,1),(166,1),(254,1)}
       129:{2,4,5,6}:{(95,1),(98,1),(165,1),(166,1),(238,1)}
       130:{1,3,4,5,7}:{(96,1),(97,1),(102,1),(152,1),(164,1),(167,1),(170,1),(239,1),(240,1),(243,1),(252,1),(294,1)}
       131:{2,5,7}:{(97,1),(99,1),(165,1)}
       132:{3,5,7}:{(98,1),(100,1),(166,1),(170,1)}
       133:{1,2,4,6,7}:{(99,1),(105,1),(168,1),(171,1),(175,1),(180,1),(235,1),(243,1),(246,1)}
       134:{2,3,6,7}:{(99,1),(100,1),(169,1),(171,1),(176,1),(236,1)}
       135:{3,4,6,7}:{(100,1),(101,1),(170,1),(173,1),(245,1),(255,1),(302,1)}
       136:{2,4,5,7}:{(101,1),(108,1),(173,1),(174,1),(181,1)}
       137:{2,4,7}:{(102,1),(103,1),(153,1),(176,1)}
       138:{1,2,5,7}:{(103,1),(105,1),(154,1),(175,1),(177,1),(300,1)}
       139:{2,3,5,7}:{(103,1),(104,1),(106,1),(155,1),(176,1),(177,1),(178,1),(181,1),(249,1),(300,1)}
       140:{1,3,4,7}:{(104,1),(111,1),(156,1),(170,1),(178,1),(184,1),(243,1),(255,1),(296,1)}
       141:{1,3,6,7}:{(105,1),(106,1),(177,1),(180,1),(301,1)}
       142:{2,4,6,7}:{(106,1),(107,1),(178,1),(180,1),(181,1),(253,1)}
       143:{1,3,5,7}:{(107,1),(108,1),(114,1),(173,1),(181,1),(182,1)}
       144:{1,4,5,6}:{(108,1),(115,1),(174,1),(182,1),(254,1),(257,1),(298,1)}
       145:{1,3,5,7}:{(109,1),(110,1),(112,1),(157,1),(183,1),(184,1)}
       146:{2,4,7}:{(110,1),(111,1),(158,1),(184,1)}
       147:{3,4,5,7}:{(111,1),(114,1),(159,1),(185,1),(186,1)}
       148:{2,3,6,7}:{(112,1),(160,1),(183,1),(187,1),(249,1),(302,1)}
       149:{1,3,4,6,7}:{(112,1),(113,1),(161,1),(180,1),(184,1),(187,1),(188,1),(250,1),(255,1),(257,1),(301,1),(302,1)}
       150:{2,3,5,7}:{(113,1),(114,1),(162,1),(181,1),(185,1),(188,1),(189,1)}
       151:{3,5,6}:{(114,1),(115,1),(186,1),(314,1)}
       152:{1,3,4,5}:{(116,1),(117,1),(190,1),(259,1),(264,1)}
       153:{2,4,6}:{(117,1),(118,1),(137,1),(190,1),(192,1)}
       154:{1,2,5,6}:{(118,1),(138,1),(191,1),(193,1),(304,1),(311,1)}
       155:{2,3,5,6}:{(118,1),(119,1),(139,1),(192,1),(193,1),(194,1),(220,1),(261,1),(263,1),(281,1),(304,1),(311,1)}
       156:{1,3,4,6}:{(119,1),(122,1),(140,1),(194,1),(195,1),(197,1),(204,1),(265,1),(270,1),(307,1)}
       157:{1,3,5,6}:{(120,1),(121,1),(123,1),(145,1),(196,1),(197,1),(200,1)}
       158:{2,4,6}:{(121,1),(122,1),(146,1),(197,1),(198,1)}
       159:{3,4,5}:{(122,1),(198,1)}
       160:{2,3,6}:{(123,1),(125,1),(199,1),(311,1)}
       161:{1,3,4,6}:{(123,1),(124,1),(126,1),(197,1),(199,1),(200,1),(265,1)}
       162:{2,3,5}:{(124,1),(198,1),(200,1)}
       163:{2,4,7}:{(125,1),(126,1),(199,1),(303,1)}
       164:{1,3,4,6}:{(127,1),(128,1),(130,1),(201,1),(204,1),(267,1),(270,1),(282,1)}
       165:{2,5,6}:{(128,1),(131,1),(201,1)}
       166:{3,5,6}:{(129,1),(132,1),(204,1)}
       167:{2,4,5,7}:{(130,1),(131,1),(137,1),(190,1),(201,1),(206,1),(208,1),(271,1)}
       168:{1,2,5,7}:{(131,1),(133,1),(202,1),(207,1),(219,1),(277,1)}
       169:{2,3,5,7}:{(131,1),(132,1),(134,1),(203,1),(207,1),(208,1)}
       170:{3,4,7}:{(132,1),(204,1),(208,1)}
       171:{1,3,6,7}:{(133,1),(134,1),(207,1),(210,1),(214,1),(267,1)}
       172:{2,3,4,6,7}:{(134,1),(135,1),(142,1),(208,1),(211,1),(212,1),(215,1),(268,1),(276,1),(281,1)}
       173:{3,5,7}:{(135,1),(136,1),(213,1)}
       174:{2,4,5,6}:{(136,1),(144,1),(213,1),(220,1),(276,1),(284,1)}
       175:{1,2,4,7}:{(137,1),(138,1),(191,1),(214,1),(216,1),(279,1)}
       176:{2,3,7}:{(137,1),(192,1),(214,1)}
       177:{1,3,5,7}:{(138,1),(139,1),(141,1),(193,1),(214,1),(216,1),(219,1)}
       178:{2,4,7}:{(139,1),(140,1),(194,1),(216,1)}
       179:{1,3,4,5,7}:{(140,1),(143,1),(147,1),(195,1),(209,1),(217,1),(218,1),(222,1),(275,1),(280,1),(283,1),(309,1)}
       180:{1,4,6,7}:{(141,1),(142,1),(216,1),(219,1),(282,1)}
       181:{2,5,7}:{(142,1),(143,1),(219,1),(220,1)}
       182:{1,3,5,6}:{(143,1),(144,1),(151,1),(213,1),(218,1),(220,1)}
       183:{2,3,5,7}:{(145,1),(148,1),(196,1),(221,1),(224,1),(283,1)}
       184:{1,4,7}:{(145,1),(146,1),(197,1),(221,1)}
       185:{2,4,5,7}:{(146,1),(147,1),(150,1),(198,1),(222,1),(223,1)}
       186:{3,4,6}:{(147,1),(151,1),(223,1)}
       187:{2,4,6,7}:{(148,1),(149,1),(199,1),(221,1),(224,1),(279,1),(284,1),(311,1)}
       188:{1,3,5,7}:{(149,1),(150,1),(200,1),(219,1),(222,1),(224,1),(225,1),(283,1)}
       189:{2,3,5,6}:{(150,1),(151,1),(220,1),(223,1),(225,1),(281,1)}
       190:{2,4,5}:{(152,1),(153,1),(227,1)}
       191:{1,2,4,6}:{(153,1),(154,1),(175,1),(226,1),(228,1),(230,1),(287,1)}
       192:{2,3,6}:{(153,1),(176,1),(227,1),(228,1)}
       193:{1,3,5,6}:{(154,1),(155,1),(177,1),(228,1),(230,1),(254,1),(288,1),(301,1)}
       194:{2,4,6}:{(155,1),(156,1),(178,1),(230,1),(231,1)}
       195:{1,3,4,5}:{(156,1),(159,1),(231,1),(233,1),(239,1),(288,1),(289,1),(294,1),(313,1)}
       196:{2,3,5,6}:{(157,1),(160,1),(183,1),(232,1),(234,1),(258,1),(289,1),(302,1)}
       197:{1,4,6}:{(157,1),(158,1),(184,1),(232,1),(233,1)}
       198:{2,4,5}:{(158,1),(159,1),(162,1),(233,1)}
       199:{2,4,6}:{(160,1),(161,1),(163,1),(234,1)}
       200:{1,3,5}:{(161,1),(162,1),(233,1),(234,1),(289,1)}
       201:{2,4,6}:{(164,1),(165,1),(167,1),(236,1)}
       202:{1,2,5,6}:{(165,1),(168,1),(235,1),(237,1),(254,1),(299,1),(312,1)}
       203:{2,3,5,6}:{(165,1),(166,1),(169,1),(236,1),(237,1),(238,1),(292,1)}
       204:{3,4,6}:{(166,1),(170,1),(238,1),(239,1)}
       205:{1,2,4,5,7}:{(167,1),(168,1),(175,1),(226,1),(235,1),(240,1),(243,1),(252,1),(294,1),(295,1),(297,1),(300,1),(312,1)}
       206:{2,3,5,7}:{(167,1),(176,1),(227,1),(236,1),(240,1),(241,1),(292,1)}
       207:{1,3,5,7}:{(168,1),(169,1),(171,1),(237,1),(242,1),(243,1)}
       208:{2,4,7}:{(169,1),(170,1),(238,1),(243,1)}
       209:{3,4,5,7}:{(170,1),(173,1),(239,1),(244,1),(245,1)}
       210:{2,3,6,7}:{(171,1),(242,1),(246,1),(249,1),(290,1),(314,1)}
       211:{1,3,4,6,7}:{(171,1),(172,1),(180,1),(243,1),(246,1),(247,1),(250,1),(291,1),(296,1),(298,1),(301,1),(314,1)}
       212:{2,3,5,7}:{(172,1),(173,1),(181,1),(244,1),(247,1),(248,1),(292,1)}
       213:{3,5,6}:{(173,1),(174,1),(245,1),(302,1)}
       214:{1,3,7}:{(175,1),(176,1),(228,1),(249,1)}
       215:{2,3,4,7}:{(176,1),(178,1),(229,1),(250,1),(251,1),(255,1),(296,1)}
       216:{1,4,7}:{(177,1),(178,1),(230,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(181,1),(231,1),(251,1),(252,1),(253,1),(300,1)}
       218:{1,3,4,6}:{(179,1),(182,1),(186,1),(245,1),(253,1),(257,1),(298,1),(301,1),(302,1),(314,1)}
       219:{1,5,7}:{(180,1),(181,1),(254,1)}
       220:{2,5,6}:{(181,1),(182,1),(253,1),(254,1)}
       221:{2,4,7}:{(183,1),(184,1),(232,1),(255,1)}
       222:{1,4,5,7}:{(184,1),(185,1),(188,1),(233,1),(256,1),(257,1)}
       223:{2,4,6}:{(185,1),(186,1),(189,1),(257,1)}
       224:{2,5,7}:{(187,1),(188,1),(234,1),(258,1)}
       225:{1,3,5,6}:{(188,1),(189,1),(254,1),(257,1),(258,1),(301,1),(302,1)}
       226:{1,2,4,5}:{(190,1),(191,1),(259,1),(264,1),(303,1),(304,1)}
       227:{2,3,5}:{(190,1),(192,1),(259,1),(260,1)}
       228:{1,3,6}:{(191,1),(192,1),(214,1),(259,1),(261,1)}
       229:{2,3,4,6}:{(192,1),(194,1),(215,1),(260,1),(262,1),(263,1),(265,1),(281,1),(307,1)}
       230:{1,4,6}:{(193,1),(194,1),(216,1),(264,1)}
       231:{2,4,5}:{(194,1),(195,1),(263,1),(264,1),(304,1)}
       232:{2,4,6}:{(196,1),(197,1),(221,1),(265,1),(266,1)}
       233:{1,4,5}:{(197,1),(198,1),(200,1),(266,1)}
       234:{2,5}:{(199,1),(200,1)}
       235:{1,2,4,6}:{(201,1),(202,1),(205,1),(267,1),(270,1),(282,1),(305,1),(310,1),(311,1)}
       236:{2,3,6}:{(201,1),(206,1),(267,1)}
       237:{1,3,5,6}:{(202,1),(203,1),(207,1),(267,1),(269,1),(270,1),(306,1)}
       238:{2,4,6}:{(203,1),(204,1),(208,1),(270,1),(271,1)}
       239:{3,4,5}:{(204,1),(271,1)}
       240:{1,3,5,7}:{(205,1),(206,1),(214,1),(259,1),(267,1),(272,1),(273,1),(306,1),(309,1)}
       241:{2,3,4,7}:{(206,1),(208,1),(260,1),(268,1),(273,1)}
       242:{2,3,5,7}:{(207,1),(210,1),(269,1),(274,1),(277,1),(309,1)}
       243:{1,4,7}:{(207,1),(208,1),(270,1),(274,1)}
       244:{2,4,5,7}:{(208,1),(209,1),(212,1),(271,1),(275,1),(276,1)}
       245:{3,4,6}:{(209,1),(213,1),(276,1)}
       246:{2,4,6,7}:{(210,1),(211,1),(274,1),(277,1),(279,1),(305,1),(310,1),(311,1)}
       247:{1,3,5,7}:{(211,1),(212,1),(219,1),(275,1),(277,1),(278,1),(306,1),(309,1)}
       248:{2,3,5,6}:{(212,1),(213,1),(220,1),(276,1),(278,1),(281,1)}
       249:{2,3,7}:{(214,1),(261,1),(279,1)}
       250:{1,3,4,7}:{(214,1),(215,1),(216,1),(262,1),(279,1),(280,1)}
       251:{2,3,5,7}:{(215,1),(217,1),(263,1),(280,1),(281,1),(283,1),(309,1)}
       252:{1,4,5,7}:{(216,1),(217,1),(219,1),(264,1),(280,1),(282,1)}
       253:{2,4,6}:{(217,1),(218,1),(220,1),(281,1),(282,1),(311,1)}
       254:{1,5,6}:{(219,1),(220,1),(282,1)}
       255:{3,4,7}:{(221,1),(265,1),(283,1)}
       256:{2,4,5,7}:{(221,1),(222,1),(224,1),(266,1),(283,1),(284,1)}
       257:{1,4,6}:{(222,1),(223,1),(225,1),(284,1)}
       258:{2,5,6}:{(224,1),(225,1),(284,1),(311,1)}
       259:{1,3,5}:{(226,1),(227,1),(228,1),(285,1),(286,1)}
       260:{2,3,4}:{(227,1),(286,1)}
       261:{2,3,6}:{(228,1),(249,1),(285,1),(287,1)}
       262:{1,3,4,6}:{(228,1),(229,1),(230,1),(250,1),(286,1),(287,1),(288,1),(301,1)}
       263:{2,3,5}:{(229,1),(231,1),(288,1),(289,1),(313,1)}
       264:{1,4,5}:{(230,1),(231,1),(288,1)}
       265:{3,4,6}:{(232,1),(255,1),(289,1),(302,1)}
       266:{2,4,5}:{(232,1),(233,1),(234,1),(289,1)}
       267:{1,3,6}:{(235,1),(236,1),(240,1),(290,1),(314,1)}
       268:{2,3,4,6}:{(236,1),(238,1),(241,1),(291,1),(292,1)}
       269:{2,3,5,6}:{(237,1),(242,1),(290,1),(293,1),(299,1),(312,1),(313,1),(314,1)}
       270:{1,4,6}:{(237,1),(238,1),(243,1),(293,1),(294,1)}
       271:{2,4,5}:{(238,1),(239,1),(292,1),(294,1)}
       272:{2,3,5,7}:{(240,1),(249,1),(285,1),(290,1),(295,1),(300,1),(312,1)}
       273:{1,3,4,7}:{(240,1),(241,1),(243,1),(286,1),(291,1),(295,1),(296,1)}
       274:{2,4,7}:{(242,1),(243,1),(293,1),(296,1)}
       275:{1,4,5,7}:{(243,1),(244,1),(247,1),(294,1),(297,1),(298,1)}
       276:{2,4,6}:{(244,1),(245,1),(248,1),(298,1)}
       277:{2,5,7}:{(246,1),(247,1),(299,1),(312,1)}
       278:{1,3,5,6}:{(247,1),(248,1),(254,1),(298,1),(299,1),(301,1),(314,1)}
       279:{2,4,7}:{(249,1),(250,1),(287,1),(300,1)}
       280:{1,3,5,7}:{(250,1),(251,1),(252,1),(288,1),(300,1),(301,1)}
       281:{2,3,6}:{(251,1),(253,1),(301,1),(302,1),(314,1)}
       282:{1,4,6}:{(252,1),(253,1),(254,1),(301,1)}
       283:{3,5,7}:{(255,1),(256,1),(289,1),(302,1)}
       284:{2,4,6}:{(256,1),(257,1),(258,1),(302,1)}
       285:{2,3,5}:{(259,1),(261,1),(303,1),(304,1)}
       286:{1,3,4}:{(259,1),(260,1),(303,1)}
       287:{2,4,6}:{(261,1),(262,1),(279,1),(303,1),(304,1),(311,1)}
       288:{1,3,5}:{(262,1),(263,1),(264,1),(304,1)}
       289:{3,5}:{(265,1),(266,1)}
       290:{2,3,6}:{(267,1),(272,1),(305,1),(311,1)}
       291:{1,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(305,1),(306,1),(307,1)}
       292:{2,3,5}:{(268,1),(271,1),(306,1)}
       293:{2,4,6}:{(269,1),(270,1),(274,1),(307,1),(308,1)}
       294:{1,4,5}:{(270,1),(271,1),(306,1),(308,1)}
       295:{2,4,7}:{(272,1),(273,1),(303,1),(305,1)}
       296:{3,4,7}:{(274,1),(307,1),(309,1)}
       297:{2,4,5,7}:{(274,1),(275,1),(277,1),(308,1),(309,1),(310,1)}
       298:{1,4,6}:{(275,1),(276,1),(278,1),(310,1)}
       299:{2,5,6}:{(277,1),(278,1),(310,1),(311,1)}
       300:{2,5,7}:{(279,1),(280,1),(304,1),(311,1)}
       301:{1,3,6}:{(280,1),(281,1),(282,1),(311,1)}
       302:{3,6}:{(283,1),(284,1)}
       303:{2,4}:{(285,1),(286,1)}
       304:{2,5}:{(287,1),(288,1)}
       305:{2,4,6}:{(290,1),(291,1),(295,1),(312,1)}
       306:{1,3,5}:{(291,1),(292,1),(294,1),(312,1),(313,1)}
       307:{3,4,6}:{(293,1),(296,1),(313,1),(314,1)}
       308:{2,4,5}:{(293,1),(294,1),(312,1),(313,1)}
       309:{3,5,7}:{(296,1),(297,1),(313,1),(314,1)}
       310:{2,4,6}:{(297,1),(298,1),(299,1),(314,1)}
       311:{2,6}:{(300,1),(301,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1121 :   0:{3,4,5}:{(3,1),(4,1),(115,1),(138,1)}
         1:{2,3,4}:{(5,1),(6,1),(62,1),(101,1)}
         2:{4,5,6}:{(7,1),(8,1),(143,1),(151,1)}
         3:{3,4,6}:{(0,1),(7,1),(9,1),(10,1)}
         4:{2,4,5}:{(0,1),(5,1),(9,1),(11,1),(101,1),(129,1)}
         5:{2,3,5}:{(1,1),(4,1),(13,1),(14,1)}
         6:{1,3,4}:{(1,1),(14,1),(15,1),(44,1),(53,1),(84,1)}
         7:{3,5,6}:{(2,1),(3,1),(16,1),(17,1),(138,1),(150,1)}
         8:{4,5,7}:{(2,1),(17,1),(18,1)}
         9:{2,4,6}:{(3,1),(4,1),(13,1),(16,1),(19,1),(20,1)}
        10:{3,4,7}:{(3,1),(17,1),(20,1)}
        11:{1,4,5}:{(4,1),(14,1),(19,1),(21,1),(84,1),(118,1)}
        12:{2,3,4}:{(23,1),(24,1),(29,1),(67,1)}
        13:{2,3,6}:{(5,1),(9,1),(26,1),(27,1)}
        14:{1,3,5}:{(5,1),(6,1),(11,1),(26,1),(28,1),(36,1)}
        15:{2,4}:{(6,1),(28,1),(29,1)}
        16:{2,5,6}:{(7,1),(9,1),(30,1),(31,1),(129,1),(147,1)}
        17:{3,5,7}:{(7,1),(8,1),(10,1),(31,1),(32,1)}
        18:{4,6,7}:{(8,1),(32,1),(33,1),(151,1)}
        19:{1,4,6}:{(9,1),(11,1),(26,1),(30,1),(34,1),(35,1)}
        20:{2,4,7}:{(9,1),(10,1),(27,1),(31,1),(35,1)}
        21:{2,4,5}:{(11,1),(28,1),(34,1),(36,1),(67,1),(104,1),(106,1)}
        22:{3,4,5}:{(38,1),(39,1),(53,1),(90,1)}
        23:{2,3,5}:{(12,1),(39,1),(40,1),(41,1)}
        24:{1,3,4}:{(12,1),(41,1),(42,1),(44,1),(84,1),(115,1)}
        25:{1,2,4}:{(15,1),(42,1),(43,1),(44,1),(84,1)}
        26:{1,3,6}:{(13,1),(14,1),(19,1),(45,1),(46,1),(51,1)}
        27:{2,3,7}:{(13,1),(20,1),(46,1)}
        28:{2,5}:{(14,1),(15,1),(45,1)}
        29:{2,3}:{(15,1),(44,1)}
        30:{1,5,6}:{(16,1),(19,1),(48,1),(49,1),(118,1),(141,1)}
        31:{2,5,7}:{(16,1),(17,1),(20,1),(49,1),(50,1)}
        32:{3,6,7}:{(17,1),(18,1),(50,1),(150,1)}
        33:{5,6,7}:{(18,1),(153,1)}
        34:{2,4,6}:{(19,1),(21,1),(45,1),(48,1),(51,1),(52,1),(87,1)}
        35:{1,4,7}:{(19,1),(20,1),(46,1),(49,1),(52,1)}
        36:{3,5}:{(21,1),(51,1),(53,1)}
        37:{4,5,6}:{(54,1),(55,1),(106,1),(133,1)}
        38:{3,4,6}:{(22,1),(54,1),(56,1),(57,1)}
        39:{2,4,5}:{(22,1),(23,1),(56,1),(58,1),(67,1),(104,1)}
        40:{2,3,6}:{(23,1),(56,1),(59,1),(60,1)}
        41:{1,3,5}:{(23,1),(24,1),(58,1),(59,1),(61,1),(98,1)}
        42:{2,4}:{(24,1),(61,1),(62,1)}
        43:{1,2,5}:{(25,1),(28,1),(61,1),(63,1),(64,1)}
        44:{1,3}:{(25,1),(29,1),(62,1)}
        45:{2,6}:{(26,1),(28,1),(66,1)}
        46:{1,3,7}:{(26,1),(27,1),(35,1),(66,1),(72,1)}
        47:{2,3,5}:{(28,1),(29,1),(36,1),(64,1),(65,1),(67,1),(104,1)}
        48:{2,5,6}:{(30,1),(34,1),(68,1),(69,1),(104,1),(132,1)}
        49:{1,5,7}:{(30,1),(31,1),(35,1),(69,1),(70,1)}
        50:{2,6,7}:{(31,1),(32,1),(70,1),(147,1)}
        51:{3,6}:{(34,1),(36,1),(72,1)}
        52:{2,4,7}:{(34,1),(35,1),(66,1),(69,1),(72,1),(107,1)}
        53:{3,4}:{(36,1),(67,1)}
        54:{3,5,6}:{(37,1),(38,1),(73,1),(74,1),(90,1),(123,1)}
        55:{4,5,7}:{(37,1),(74,1),(75,1)}
        56:{2,4,6}:{(38,1),(39,1),(40,1),(73,1),(76,1),(77,1)}
        57:{3,4,7}:{(38,1),(74,1),(77,1)}
        58:{1,4,5}:{(39,1),(41,1),(76,1),(78,1),(84,1),(118,1)}
        59:{1,3,6}:{(40,1),(41,1),(76,1),(79,1),(80,1),(113,1)}
        60:{2,3,7}:{(40,1),(77,1),(80,1)}
        61:{2,5}:{(41,1),(42,1),(79,1)}
        62:{2,3}:{(42,1),(44,1)}
        63:{1,2,6}:{(43,1),(45,1),(79,1),(82,1),(83,1)}
        64:{1,3,5}:{(43,1),(44,1),(47,1),(81,1),(82,1),(84,1),(118,1)}
        65:{2,3,6}:{(45,1),(47,1),(51,1),(82,1),(85,1),(86,1)}
        66:{2,7}:{(45,1),(46,1)}
        67:{2,4}:{(47,1),(53,1),(84,1)}
        68:{3,5,6}:{(48,1),(51,1),(87,1),(88,1),(90,1),(123,1),(142,1)}
        69:{2,5,7}:{(48,1),(49,1),(52,1),(88,1),(89,1)}
        70:{1,6,7}:{(49,1),(50,1),(89,1),(141,1)}
        71:{3,4,6}:{(51,1),(53,1),(85,1),(87,1),(90,1),(91,1),(123,1)}
        72:{3,7}:{(51,1),(52,1)}
        73:{2,5,6}:{(54,1),(56,1),(92,1),(93,1),(104,1),(132,1)}
        74:{3,5,7}:{(54,1),(55,1),(57,1),(93,1),(94,1)}
        75:{4,6,7}:{(55,1),(94,1),(95,1),(133,1)}
        76:{1,4,6}:{(56,1),(58,1),(59,1),(92,1),(96,1),(97,1)}
        77:{2,4,7}:{(56,1),(57,1),(60,1),(93,1),(97,1)}
        78:{2,4,5}:{(58,1),(61,1),(96,1),(98,1),(101,1),(129,1),(143,1)}
        79:{2,6}:{(59,1),(61,1),(100,1)}
        80:{1,3,7}:{(59,1),(60,1),(97,1),(100,1),(128,1)}
        81:{2,3,5}:{(61,1),(62,1),(64,1),(98,1),(99,1),(101,1),(129,1)}
        82:{1,3,6}:{(63,1),(64,1),(65,1),(99,1),(102,1),(103,1)}
        83:{1,2,7}:{(63,1),(66,1),(100,1),(103,1)}
        84:{1,4}:{(64,1),(67,1),(101,1)}
        85:{2,4,6}:{(65,1),(67,1),(71,1),(102,1),(104,1),(105,1),(132,1)}
        86:{2,3,7}:{(65,1),(66,1),(72,1),(103,1),(105,1)}
        87:{4,6}:{(68,1),(106,1),(107,1)}
        88:{3,5,7}:{(68,1),(69,1),(72,1),(107,1),(108,1),(134,1)}
        89:{2,6,7}:{(69,1),(70,1),(108,1),(132,1)}
        90:{3,5}:{(71,1),(104,1),(106,1)}
        91:{3,4,7}:{(71,1),(72,1),(105,1),(107,1),(109,1)}
        92:{1,5,6}:{(73,1),(76,1),(110,1),(111,1),(118,1),(141,1)}
        93:{2,5,7}:{(73,1),(74,1),(77,1),(111,1),(112,1)}
        94:{3,6,7}:{(74,1),(75,1),(112,1),(123,1)}
        95:{5,6,7}:{(75,1),(142,1)}
        96:{2,4,6}:{(76,1),(78,1),(79,1),(110,1),(113,1),(114,1),(135,1)}
        97:{1,4,7}:{(76,1),(77,1),(80,1),(111,1),(114,1)}
        98:{3,5}:{(78,1),(113,1),(115,1)}
        99:{2,3,6}:{(79,1),(81,1),(82,1),(113,1),(116,1),(117,1)}
       100:{2,7}:{(79,1),(80,1)}
       101:{2,4}:{(81,1),(84,1),(115,1)}
       102:{1,4,6}:{(82,1),(84,1),(85,1),(116,1),(118,1),(119,1),(141,1)}
       103:{1,3,7}:{(82,1),(83,1),(86,1),(117,1),(119,1)}
       104:{2,5}:{(85,1),(90,1),(118,1)}
       105:{2,4,7}:{(85,1),(86,1),(91,1),(119,1),(120,1)}
       106:{4,5}:{(87,1),(90,1)}
       107:{4,7}:{(87,1),(88,1)}
       108:{3,6,7}:{(88,1),(89,1),(122,1),(123,1)}
       109:{3,5,7}:{(90,1),(91,1),(120,1),(121,1),(123,1)}
       110:{2,5,6}:{(92,1),(96,1),(124,1),(125,1),(129,1),(147,1)}
       111:{1,5,7}:{(92,1),(93,1),(97,1),(125,1),(126,1)}
       112:{2,6,7}:{(93,1),(94,1),(126,1),(132,1)}
       113:{3,6}:{(96,1),(98,1),(128,1)}
       114:{2,4,7}:{(96,1),(97,1),(100,1),(125,1),(128,1),(144,1)}
       115:{3,4}:{(98,1),(101,1)}
       116:{2,4,6}:{(99,1),(101,1),(102,1),(127,1),(129,1),(130,1),(147,1)}
       117:{2,3,7}:{(99,1),(100,1),(103,1),(128,1),(130,1)}
       118:{1,5}:{(102,1),(104,1),(129,1)}
       119:{1,4,7}:{(102,1),(103,1),(105,1),(130,1),(131,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(131,1),(132,1)}
       121:{4,5,7}:{(106,1),(107,1),(109,1),(133,1),(134,1)}
       122:{4,6,7}:{(107,1),(108,1),(133,1),(134,1)}
       123:{3,6}:{(109,1),(132,1),(133,1)}
       124:{3,5,6}:{(110,1),(113,1),(135,1),(136,1),(138,1),(150,1),(153,1)}
       125:{2,5,7}:{(110,1),(111,1),(114,1),(136,1),(137,1)}
       126:{1,6,7}:{(111,1),(112,1),(137,1),(141,1)}
       127:{3,4,6}:{(113,1),(115,1),(116,1),(135,1),(138,1),(139,1),(150,1)}
       128:{3,7}:{(113,1),(114,1)}
       129:{2,5}:{(116,1),(118,1),(138,1)}
       130:{2,4,7}:{(116,1),(117,1),(119,1),(139,1),(140,1)}
       131:{1,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1)}
       132:{2,6}:{(120,1),(123,1),(141,1)}
       133:{4,6}:{(121,1),(123,1),(142,1)}
       134:{5,7}:{(122,1),(142,1)}
       135:{4,6}:{(124,1),(143,1),(144,1)}
       136:{3,5,7}:{(124,1),(125,1),(128,1),(144,1),(145,1),(152,1)}
       137:{2,6,7}:{(125,1),(126,1),(145,1),(147,1)}
       138:{3,5}:{(127,1),(129,1),(143,1)}
       139:{3,4,7}:{(127,1),(128,1),(130,1),(144,1),(146,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(146,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{4,5}:{(135,1),(138,1)}
       144:{4,7}:{(135,1),(136,1)}
       145:{3,6,7}:{(136,1),(137,1),(149,1),(150,1)}
       146:{3,5,7}:{(138,1),(139,1),(140,1),(148,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(150,1)}
       148:{4,5,7}:{(143,1),(144,1),(146,1),(151,1),(152,1)}
       149:{4,6,7}:{(144,1),(145,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(151,1)}
       151:{4,6}:{(148,1),(150,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1122 :   0:{4,5,6}:{(2,1),(3,1),(136,1),(148,1)}
         1:{5,6,7}:{(6,1),(151,1)}
         2:{4,5,7}:{(0,1),(6,1),(7,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(128,1),(145,1)}
         4:{3,4,5}:{(5,1),(9,1),(108,1),(128,1)}
         5:{3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
         6:{4,6,7}:{(1,1),(2,1),(13,1),(148,1)}
         7:{3,5,7}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
         8:{2,5,6}:{(3,1),(12,1),(14,1),(15,1),(116,1),(139,1)}
         9:{2,4,5}:{(4,1),(12,1),(16,1),(17,1),(91,1),(116,1)}
        10:{2,3,4}:{(16,1),(18,1),(62,1),(91,1)}
        11:{3,4,7}:{(5,1),(7,1),(20,1)}
        12:{2,4,6}:{(5,1),(8,1),(9,1),(19,1),(20,1),(21,1)}
        13:{3,6,7}:{(6,1),(7,1),(22,1),(145,1)}
        14:{2,5,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{1,5,6}:{(8,1),(21,1),(23,1),(24,1),(101,1),(131,1)}
        16:{2,3,5}:{(9,1),(10,1),(19,1),(25,1)}
        17:{1,4,5}:{(9,1),(21,1),(25,1),(26,1),(75,1),(101,1)}
        18:{1,3,4}:{(10,1),(25,1),(27,1),(48,1),(49,1),(75,1)}
        19:{2,3,6}:{(12,1),(16,1),(28,1),(29,1)}
        20:{2,4,7}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
        21:{1,4,6}:{(12,1),(15,1),(17,1),(29,1),(30,1),(31,1)}
        22:{2,6,7}:{(13,1),(14,1),(32,1),(139,1)}
        23:{1,5,7}:{(14,1),(15,1),(30,1),(32,1),(33,1)}
        24:{2,5,6}:{(15,1),(31,1),(33,1),(34,1),(85,1),(119,1)}
        25:{1,3,5}:{(16,1),(17,1),(18,1),(29,1),(35,1),(36,1)}
        26:{2,4,5}:{(17,1),(31,1),(35,1),(36,1),(58,1),(60,1),(85,1)}
        27:{2,4}:{(18,1),(35,1),(38,1)}
        28:{2,3,7}:{(19,1),(20,1),(39,1)}
        29:{1,3,6}:{(19,1),(21,1),(25,1),(39,1),(40,1),(42,1)}
        30:{1,4,7}:{(20,1),(21,1),(23,1),(39,1),(41,1)}
        31:{2,4,6}:{(21,1),(24,1),(26,1),(40,1),(41,1),(42,1),(45,1)}
        32:{1,6,7}:{(22,1),(23,1),(43,1),(131,1)}
        33:{2,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,5,6}:{(24,1),(42,1),(44,1),(45,1),(70,1),(104,1),(106,1)}
        35:{2,5}:{(25,1),(27,1),(40,1)}
        36:{3,5}:{(26,1),(42,1),(48,1)}
        37:{1,2,4}:{(27,1),(46,1),(49,1),(75,1),(78,1)}
        38:{2,3}:{(27,1),(49,1)}
        39:{1,3,7}:{(28,1),(29,1),(30,1),(52,1),(54,1)}
        40:{2,6}:{(29,1),(35,1),(52,1)}
        41:{2,4,7}:{(30,1),(31,1),(33,1),(52,1),(54,1),(57,1)}
        42:{3,6}:{(31,1),(36,1),(54,1)}
        43:{2,6,7}:{(32,1),(33,1),(56,1),(119,1)}
        44:{3,5,7}:{(33,1),(34,1),(54,1),(56,1),(57,1),(88,1)}
        45:{4,6}:{(34,1),(57,1),(58,1)}
        46:{1,2,5}:{(35,1),(37,1),(51,1),(59,1),(95,1)}
        47:{2,3,5}:{(35,1),(36,1),(38,1),(53,1),(59,1),(60,1),(85,1)}
        48:{3,4}:{(36,1),(60,1)}
        49:{1,3}:{(37,1),(38,1),(62,1)}
        50:{2,3,4}:{(38,1),(60,1),(63,1),(64,1)}
        51:{1,2,6}:{(40,1),(46,1),(65,1),(66,1),(112,1)}
        52:{2,7}:{(39,1),(40,1)}
        53:{2,3,6}:{(40,1),(42,1),(47,1),(66,1),(67,1),(68,1)}
        54:{3,7}:{(41,1),(42,1)}
        55:{3,4,6}:{(42,1),(45,1),(48,1),(68,1),(69,1),(70,1),(104,1)}
        56:{3,6,7}:{(43,1),(44,1),(71,1),(104,1)}
        57:{4,7}:{(44,1),(45,1)}
        58:{4,5}:{(45,1),(70,1)}
        59:{1,3,5}:{(46,1),(47,1),(49,1),(66,1),(74,1),(75,1),(101,1)}
        60:{2,4}:{(47,1),(48,1),(75,1)}
        61:{3,4,5}:{(48,1),(70,1),(76,1),(77,1)}
        62:{2,3}:{(49,1),(78,1)}
        63:{1,3,4}:{(49,1),(50,1),(75,1),(78,1),(79,1),(108,1)}
        64:{2,3,5}:{(50,1),(76,1),(79,1),(80,1)}
        65:{1,2,7}:{(51,1),(52,1),(82,1),(126,1)}
        66:{1,3,6}:{(51,1),(53,1),(59,1),(81,1),(82,1),(83,1)}
        67:{2,3,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        68:{2,4,6}:{(53,1),(55,1),(60,1),(83,1),(84,1),(85,1),(119,1)}
        69:{3,4,7}:{(54,1),(55,1),(57,1),(84,1),(86,1)}
        70:{3,5}:{(55,1),(58,1),(85,1)}
        71:{4,6,7}:{(56,1),(57,1),(88,1),(89,1)}
        72:{4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        73:{4,5,6}:{(58,1),(87,1),(89,1),(90,1)}
        74:{2,3,5}:{(59,1),(62,1),(81,1),(91,1),(95,1),(116,1),(123,1)}
        75:{1,4}:{(59,1),(60,1),(91,1)}
        76:{2,4,5}:{(60,1),(61,1),(64,1),(85,1),(92,1),(93,1)}
        77:{3,4,6}:{(61,1),(87,1),(93,1),(94,1)}
        78:{2,4}:{(62,1),(63,1),(95,1)}
        79:{1,3,5}:{(63,1),(64,1),(92,1),(95,1),(96,1),(123,1)}
        80:{2,3,6}:{(64,1),(93,1),(96,1),(97,1)}
        81:{2,3,6}:{(66,1),(74,1),(98,1),(99,1),(112,1),(134,1)}
        82:{1,3,7}:{(65,1),(66,1),(67,1),(98,1),(100,1)}
        83:{1,4,6}:{(66,1),(68,1),(75,1),(99,1),(100,1),(101,1),(131,1)}
        84:{2,4,7}:{(67,1),(68,1),(69,1),(100,1),(102,1)}
        85:{2,5}:{(68,1),(70,1),(101,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(102,1),(104,1)}
        87:{3,5,6}:{(70,1),(73,1),(77,1),(103,1),(104,1),(105,1)}
        88:{5,7}:{(71,1),(106,1)}
        89:{4,6}:{(72,1),(104,1),(106,1)}
        90:{4,5,7}:{(73,1),(105,1),(107,1)}
        91:{2,4}:{(74,1),(75,1),(108,1)}
        92:{1,4,5}:{(75,1),(76,1),(79,1),(101,1),(109,1),(110,1)}
        93:{2,4,6}:{(76,1),(77,1),(80,1),(103,1),(110,1),(111,1)}
        94:{3,4,7}:{(77,1),(105,1),(111,1)}
        95:{2,5}:{(78,1),(79,1),(112,1)}
        96:{1,3,6}:{(79,1),(80,1),(110,1),(112,1),(113,1),(134,1)}
        97:{2,3,7}:{(80,1),(111,1),(113,1)}
        98:{2,3,7}:{(81,1),(82,1),(115,1),(126,1),(142,1)}
        99:{2,4,6}:{(81,1),(83,1),(91,1),(114,1),(115,1),(116,1),(139,1)}
       100:{1,4,7}:{(82,1),(83,1),(84,1),(115,1),(117,1)}
       101:{1,5}:{(83,1),(85,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(86,1),(117,1),(119,1)}
       103:{2,5,6}:{(85,1),(87,1),(93,1),(118,1),(119,1),(120,1)}
       104:{3,6}:{(86,1),(89,1),(119,1)}
       105:{3,5,7}:{(87,1),(90,1),(94,1),(120,1),(121,1)}
       106:{5,6}:{(88,1),(89,1)}
       107:{4,6,7}:{(89,1),(90,1),(121,1),(122,1)}
       108:{3,4}:{(91,1),(123,1)}
       109:{2,4,5}:{(91,1),(92,1),(95,1),(116,1),(123,1),(124,1),(136,1)}
       110:{1,4,6}:{(92,1),(93,1),(96,1),(118,1),(124,1),(125,1)}
       111:{2,4,7}:{(93,1),(94,1),(97,1),(120,1),(125,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,7}:{(96,1),(97,1),(125,1),(126,1),(142,1)}
       114:{3,4,6}:{(99,1),(108,1),(127,1),(128,1),(134,1),(144,1),(145,1)}
       115:{2,4,7}:{(98,1),(99,1),(100,1),(127,1),(129,1)}
       116:{2,5}:{(99,1),(101,1),(128,1)}
       117:{1,5,7}:{(100,1),(101,1),(102,1),(129,1),(131,1)}
       118:{1,5,6}:{(101,1),(103,1),(110,1),(130,1),(131,1),(132,1)}
       119:{2,6}:{(102,1),(104,1),(131,1)}
       120:{2,5,7}:{(103,1),(105,1),(111,1),(132,1),(133,1)}
       121:{3,6,7}:{(104,1),(105,1),(107,1),(133,1)}
       122:{5,6,7}:{(106,1),(107,1)}
       123:{3,5}:{(108,1),(109,1),(134,1)}
       124:{2,4,6}:{(109,1),(110,1),(112,1),(130,1),(134,1),(135,1),(144,1)}
       125:{1,4,7}:{(110,1),(111,1),(113,1),(132,1),(135,1)}
       126:{2,7}:{(112,1),(113,1)}
       127:{3,4,7}:{(114,1),(115,1),(137,1),(142,1),(149,1)}
       128:{3,5}:{(114,1),(116,1),(136,1)}
       129:{2,5,7}:{(115,1),(116,1),(117,1),(137,1),(139,1)}
       130:{2,5,6}:{(116,1),(118,1),(124,1),(138,1),(139,1),(140,1)}
       131:{1,6}:{(117,1),(119,1),(139,1)}
       132:{1,5,7}:{(118,1),(120,1),(125,1),(140,1),(141,1)}
       133:{2,6,7}:{(119,1),(120,1),(121,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(149,1)}
       136:{4,5}:{(128,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(129,1),(143,1),(145,1)}
       138:{3,5,6}:{(128,1),(130,1),(134,1),(144,1),(145,1),(146,1),(151,1)}
       139:{2,6}:{(129,1),(131,1),(145,1)}
       140:{2,5,7}:{(130,1),(132,1),(135,1),(146,1),(147,1)}
       141:{1,6,7}:{(131,1),(132,1),(133,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(137,1),(148,1),(149,1),(153,1)}
       144:{4,6}:{(136,1),(138,1),(149,1)}
       145:{3,6}:{(137,1),(139,1),(148,1)}
       146:{3,5,7}:{(138,1),(140,1),(142,1),(149,1),(150,1),(153,1)}
       147:{2,6,7}:{(139,1),(140,1),(141,1),(150,1)}
       148:{4,6}:{(143,1),(145,1),(151,1)}
       149:{4,7}:{(144,1),(146,1)}
       150:{3,6,7}:{(145,1),(146,1),(147,1),(152,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

1123 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

1124 :   0:{3,4,6,7}:{(2,1),(3,1),(15,1),(23,1),(38,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(38,1),(62,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(13,1),(25,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1)}
         4:{1,3,6,7}:{(1,1),(7,1),(11,1),(12,1),(26,1),(50,1),(74,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(13,1),(29,1),(53,1),(58,1)}
         6:{3,5,6}:{(3,1),(14,1),(15,1),(38,1),(103,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(37,1)}
         8:{2,5,7}:{(2,1),(3,1),(14,1),(17,1)}
         9:{4,5,7}:{(3,1),(15,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(20,1),(38,1),(43,1),(62,1),(67,1),(68,1),(103,1)}
        11:{2,6,7}:{(4,1),(21,1),(62,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(17,1),(19,1),(21,1),(22,1),(39,1),(46,1),(65,1),(70,1)}
        13:{2,4,7}:{(5,1),(20,1),(22,1),(23,1)}
        14:{2,5,6}:{(6,1),(8,1),(24,1),(25,1),(100,1)}
        15:{4,6}:{(6,1),(9,1),(104,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(26,1),(27,1),(34,1),(49,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(13,1),(25,1),(28,1),(29,1),(30,1),(53,1),(93,1),(100,1),(104,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(24,1),(31,1),(32,1),(48,1),(50,1),(55,1),(56,1),(74,1),(79,1),(80,1)}
        20:{2,4,6}:{(10,1),(13,1),(30,1),(32,1),(33,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(31,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
        23:{3,4,7}:{(13,1),(29,1),(33,1),(104,1)}
        24:{1,5,6}:{(14,1),(17,1),(36,1),(37,1),(96,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1),(62,1)}
        26:{3,6,7}:{(16,1),(39,1),(46,1),(61,1)}
        27:{2,5,7}:{(16,1),(17,1),(36,1),(39,1)}
        28:{1,4,5,7}:{(17,1),(18,1),(22,1),(37,1),(40,1),(41,1),(42,1),(65,1),(85,1),(96,1)}
        29:{3,5,7}:{(18,1),(23,1),(38,1),(43,1),(98,1),(103,1)}
        30:{2,4,5}:{(20,1),(42,1),(43,1),(67,1),(99,1)}
        31:{2,5,6}:{(19,1),(21,1),(44,1),(62,1),(67,1),(89,1)}
        32:{1,4,6}:{(19,1),(20,1),(22,1),(42,1),(44,1),(60,1)}
        33:{3,4,6}:{(20,1),(23,1),(38,1),(43,1)}
        34:{2,4,7}:{(21,1),(22,1),(44,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(41,1),(45,1),(46,1),(47,1),(63,1),(70,1),(85,1),(98,1)}
        36:{2,5,6}:{(24,1),(27,1),(48,1),(49,1),(90,1)}
        37:{1,4,6}:{(24,1),(25,1),(28,1),(49,1),(50,1),(74,1)}
        38:{3,6}:{(25,1),(29,1)}
        39:{3,5,7}:{(26,1),(27,1),(48,1),(51,1)}
        40:{2,4,5,7}:{(27,1),(28,1),(34,1),(49,1),(51,1),(52,1),(53,1),(54,1),(71,1),(75,1),(90,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(35,1),(50,1),(52,1),(53,1),(55,1)}
        42:{1,4,5}:{(30,1),(32,1),(54,1),(55,1),(71,1),(79,1),(94,1),(104,1)}
        43:{3,5}:{(30,1),(33,1),(102,1)}
        44:{2,4,6}:{(31,1),(32,1),(34,1),(54,1),(56,1)}
        45:{1,3,4,6}:{(32,1),(33,1),(35,1),(50,1),(55,1),(56,1),(57,1),(72,1),(77,1),(80,1),(91,1),(94,1),(101,1),(102,1),(104,1)}
        46:{3,7}:{(34,1),(56,1)}
        47:{2,4,7}:{(35,1),(53,1),(57,1),(58,1),(59,1),(81,1)}
        48:{3,5,6}:{(36,1),(39,1),(60,1),(61,1),(82,1)}
        49:{2,4,6}:{(36,1),(37,1),(40,1),(60,1),(61,1),(62,1)}
        50:{1,3,6}:{(37,1),(38,1),(41,1),(61,1),(62,1)}
        51:{4,7}:{(39,1),(60,1)}
        52:{3,5,7}:{(40,1),(46,1),(61,1),(63,1),(66,1),(82,1)}
        53:{2,5,7}:{(41,1),(47,1),(62,1),(65,1),(67,1)}
        54:{2,4,5}:{(42,1),(44,1),(66,1),(67,1),(87,1)}
        55:{1,3,5}:{(42,1),(43,1),(45,1),(66,1),(67,1),(82,1),(96,1),(103,1)}
        56:{3,6}:{(44,1),(46,1),(66,1)}
        57:{2,4,6}:{(45,1),(47,1),(62,1),(67,1),(68,1),(69,1),(87,1),(89,1),(99,1)}
        58:{2,3,7}:{(46,1),(47,1),(68,1),(70,1),(98,1)}
        59:{1,4,7}:{(47,1),(65,1),(69,1),(70,1)}
        60:{4,6}:{(48,1),(51,1),(71,1)}
        61:{3,6}:{(49,1),(52,1)}
        62:{2,6}:{(50,1),(53,1),(74,1)}
        63:{3,4,7}:{(51,1),(52,1),(72,1),(75,1),(77,1)}
        64:{2,3,5,7}:{(52,1),(53,1),(58,1),(73,1),(75,1),(76,1),(78,1),(90,1)}
        65:{1,5,7}:{(53,1),(59,1),(74,1),(79,1)}
        66:{3,5}:{(54,1),(56,1),(77,1)}
        67:{2,5}:{(55,1),(57,1),(79,1)}
        68:{2,3,6}:{(56,1),(57,1),(58,1),(78,1),(80,1),(101,1),(102,1)}
        69:{1,4,6}:{(57,1),(59,1),(74,1),(79,1),(80,1),(94,1)}
        70:{1,3,7}:{(58,1),(59,1),(80,1),(81,1)}
        71:{4,5}:{(60,1),(82,1)}
        72:{3,4,6}:{(60,1),(61,1),(63,1),(82,1),(83,1)}
        73:{2,3,6}:{(61,1),(62,1),(64,1),(83,1),(84,1)}
        74:{1,6}:{(62,1),(65,1)}
        75:{2,4,7}:{(63,1),(64,1),(83,1),(85,1),(87,1)}
        76:{1,3,5,7}:{(64,1),(65,1),(70,1),(84,1),(85,1),(86,1),(88,1),(96,1),(98,1),(103,1)}
        77:{3,4}:{(66,1),(87,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(87,1),(88,1),(103,1)}
        79:{1,5}:{(67,1),(69,1)}
        80:{1,3,6}:{(68,1),(69,1),(70,1),(88,1),(89,1)}
        81:{2,7}:{(70,1),(89,1)}
        82:{3,5}:{(71,1),(72,1),(90,1)}
        83:{2,4,6}:{(72,1),(73,1),(75,1),(90,1),(91,1)}
        84:{1,3,6}:{(73,1),(74,1),(76,1),(91,1),(92,1),(101,1)}
        85:{1,4,7}:{(75,1),(76,1),(91,1),(93,1),(94,1),(104,1)}
        86:{2,5,7}:{(76,1),(81,1),(92,1),(93,1),(95,1),(100,1)}
        87:{2,4}:{(77,1),(78,1),(94,1),(104,1)}
        88:{1,3,5}:{(78,1),(79,1),(80,1),(94,1),(95,1),(102,1)}
        89:{2,6}:{(80,1),(81,1),(95,1)}
        90:{2,5}:{(82,1),(83,1),(96,1)}
        91:{1,4,6}:{(83,1),(84,1),(85,1),(96,1),(97,1)}
        92:{2,6}:{(84,1),(86,1)}
        93:{2,4,7}:{(85,1),(86,1),(97,1),(98,1),(99,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{2,5}:{(88,1),(89,1),(99,1)}
        96:{1,5}:{(90,1),(91,1),(100,1)}
        97:{2,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        98:{3,7}:{(93,1),(101,1),(102,1)}
        99:{2,4}:{(94,1),(95,1),(102,1)}
       100:{2,5}:{(96,1),(97,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{3}:{(99,1)}
       103:{3,5}:{(100,1),(101,1),(104,1)}
       104:{4}:{(103,1)}

1125 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(22,1),(47,1),(53,1),(89,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(20,1),(23,1),(26,1),(47,1),(55,1)}
         2:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(34,1),(35,1),(37,1),(67,1),(74,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(32,1),(102,1)}
         4:{1,2,6}:{(0,1),(9,1),(68,1)}
         5:{2,4,7}:{(1,1),(8,1),(13,1),(14,1),(75,1)}
         6:{2,3,6}:{(1,1),(9,1),(14,1),(39,1),(68,1)}
         7:{2,3,5,7}:{(2,1),(15,1),(16,1),(20,1),(42,1),(45,1),(47,1),(55,1)}
         8:{1,4,7}:{(2,1),(5,1),(15,1),(19,1),(56,1),(90,1)}
         9:{1,3,6}:{(2,1),(4,1),(6,1),(16,1),(19,1),(84,1)}
        10:{1,3,7}:{(3,1),(20,1),(21,1),(110,1),(125,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(19,1),(21,1),(22,1),(51,1),(56,1)}
        12:{2,4,5,7}:{(5,1),(17,1),(23,1),(24,1),(26,1),(47,1),(58,1),(60,1),(88,1),(92,1),(106,1)}
        13:{3,4,7}:{(5,1),(23,1),(25,1),(91,1),(92,1)}
        14:{2,4,6}:{(5,1),(6,1),(19,1),(25,1),(26,1)}
        15:{2,4,7}:{(7,1),(8,1),(28,1),(29,1),(75,1)}
        16:{2,3,6}:{(7,1),(9,1),(29,1),(62,1),(68,1)}
        17:{1,4,5,7}:{(8,1),(12,1),(27,1),(30,1),(31,1),(34,1),(66,1),(67,1),(72,1),(97,1),(100,1),(112,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(13,1),(28,1),(30,1),(32,1),(33,1),(97,1),(103,1),(113,1)}
        19:{1,4,6}:{(8,1),(9,1),(14,1),(29,1),(34,1)}
        20:{2,3,7}:{(10,1),(32,1),(35,1),(36,1),(113,1),(116,1),(122,1)}
        21:{1,3,6}:{(10,1),(11,1),(36,1),(37,1),(123,1)}
        22:{1,2,5}:{(11,1),(34,1),(37,1),(71,1),(124,1)}
        23:{3,5,7}:{(12,1),(13,1),(39,1),(41,1),(101,1),(113,1)}
        24:{2,4,6}:{(12,1),(31,1),(39,1),(40,1),(68,1),(77,1)}
        25:{3,4,6}:{(13,1),(14,1),(39,1),(41,1),(77,1)}
        26:{2,5}:{(14,1),(34,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(45,1),(47,1),(79,1),(81,1),(88,1),(104,1),(106,1)}
        28:{3,4,7}:{(15,1),(42,1),(44,1),(91,1),(104,1)}
        29:{2,4,6}:{(15,1),(16,1),(19,1),(44,1),(45,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(23,1),(42,1),(47,1),(48,1),(52,1),(109,1),(118,1)}
        31:{1,4,6}:{(17,1),(24,1),(43,1),(48,1),(49,1),(84,1)}
        32:{2,4,7}:{(18,1),(20,1),(47,1),(50,1),(51,1),(111,1)}
        33:{1,3,4,6}:{(18,1),(19,1),(21,1),(25,1),(44,1),(48,1),(51,1),(52,1),(56,1),(86,1),(91,1),(108,1)}
        34:{1,5}:{(19,1),(26,1),(45,1)}
        35:{1,3,7}:{(20,1),(50,1),(53,1),(54,1),(121,1)}
        36:{2,3,6}:{(20,1),(21,1),(51,1),(54,1),(55,1),(108,1),(119,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(56,1),(120,1),(121,1)}
        38:{2,4,6,7}:{(24,1),(46,1),(57,1),(58,1),(82,1),(92,1),(106,1)}
        39:{3,6}:{(23,1),(24,1)}
        40:{2,5,6}:{(24,1),(26,1),(49,1),(58,1),(59,1)}
        41:{3,5}:{(25,1),(26,1),(60,1)}
        42:{3,5,7}:{(27,1),(28,1),(62,1),(64,1),(101,1),(113,1)}
        43:{2,4,6}:{(27,1),(31,1),(62,1),(63,1),(68,1),(94,1)}
        44:{3,4,6}:{(28,1),(29,1),(62,1),(64,1),(94,1)}
        45:{2,5}:{(29,1),(34,1),(64,1)}
        46:{1,4,6,7}:{(31,1),(38,1),(61,1),(65,1),(66,1),(95,1),(97,1),(112,1)}
        47:{2,5,7}:{(30,1),(32,1),(67,1),(68,1),(71,1),(115,1),(122,1)}
        48:{1,3,6}:{(30,1),(31,1),(39,1),(62,1),(68,1)}
        49:{1,5,6}:{(31,1),(34,1),(40,1),(63,1),(66,1)}
        50:{1,4,7}:{(32,1),(35,1),(67,1),(70,1),(117,1)}
        51:{2,4,6}:{(32,1),(33,1),(36,1),(68,1),(70,1),(71,1),(75,1)}
        52:{1,3,5}:{(33,1),(34,1),(41,1),(64,1),(71,1),(72,1),(101,1)}
        53:{1,2,7}:{(35,1),(73,1),(122,1),(124,1)}
        54:{1,3,6}:{(35,1),(36,1),(70,1),(73,1),(74,1)}
        55:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(101,1),(115,1),(116,1)}
        56:{1,4}:{(37,1),(75,1)}
        57:{3,6,7}:{(38,1),(39,1),(76,1),(113,1)}
        58:{2,5,7}:{(38,1),(40,1),(66,1),(76,1)}
        59:{3,5,6}:{(39,1),(40,1),(41,1),(76,1),(77,1)}
        60:{4,5}:{(41,1),(77,1)}
        61:{2,4,6,7}:{(43,1),(46,1),(78,1),(79,1),(82,1),(104,1),(106,1)}
        62:{3,6}:{(42,1),(43,1)}
        63:{2,5,6}:{(43,1),(45,1),(49,1),(79,1),(80,1)}
        64:{3,5}:{(44,1),(45,1),(81,1)}
        65:{1,3,6,7}:{(46,1),(48,1),(57,1),(78,1),(82,1),(83,1),(118,1)}
        66:{1,5,7}:{(46,1),(49,1),(58,1),(79,1)}
        67:{1,5,7}:{(47,1),(50,1),(84,1),(87,1),(120,1),(125,1)}
        68:{2,6}:{(47,1),(48,1),(84,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(80,1),(83,1),(85,1),(86,1),(108,1)}
        70:{1,4,6}:{(50,1),(51,1),(54,1),(84,1),(87,1),(90,1)}
        71:{2,5}:{(51,1),(52,1),(87,1)}
        72:{1,4,5}:{(52,1),(56,1),(60,1),(81,1),(86,1),(88,1),(120,1)}
        73:{1,2,6}:{(53,1),(54,1),(89,1),(119,1)}
        74:{1,3,5}:{(54,1),(55,1),(87,1),(89,1),(90,1),(110,1)}
        75:{2,4}:{(55,1),(56,1),(90,1),(91,1)}
        76:{3,5,7}:{(57,1),(58,1),(59,1),(92,1)}
        77:{4,6}:{(59,1),(60,1),(92,1)}
        78:{3,6,7}:{(61,1),(62,1),(93,1),(113,1)}
        79:{2,5,7}:{(61,1),(63,1),(66,1),(93,1)}
        80:{3,5,6}:{(62,1),(63,1),(64,1),(93,1),(94,1)}
        81:{4,5}:{(64,1),(94,1)}
        82:{2,6,7}:{(65,1),(68,1),(95,1),(96,1),(122,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(76,1),(93,1),(96,1),(97,1),(113,1)}
        84:{1,6}:{(67,1),(68,1)}
        85:{2,5,6}:{(68,1),(69,1),(71,1),(96,1),(98,1),(99,1)}
        86:{1,4,6}:{(69,1),(72,1),(77,1),(94,1),(97,1),(99,1),(123,1)}
        87:{1,5}:{(70,1),(71,1)}
        88:{2,4,5}:{(71,1),(72,1),(75,1),(99,1),(100,1),(101,1),(115,1)}
        89:{1,2,5}:{(73,1),(74,1),(102,1),(115,1)}
        90:{1,4}:{(74,1),(75,1)}
        91:{3,4}:{(75,1),(101,1)}
        92:{4,7}:{(76,1),(77,1)}
        93:{3,5,7}:{(78,1),(79,1),(80,1),(104,1)}
        94:{4,6}:{(80,1),(81,1),(104,1)}
        95:{1,6,7}:{(82,1),(84,1),(105,1),(125,1)}
        96:{2,5,7}:{(82,1),(83,1),(85,1),(105,1),(106,1)}
        97:{1,4,7}:{(83,1),(86,1),(92,1),(104,1),(106,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(87,1),(105,1),(107,1)}
        99:{2,4,6}:{(85,1),(86,1),(88,1),(106,1),(107,1),(108,1),(119,1)}
       100:{1,4,5}:{(87,1),(88,1),(90,1),(107,1),(109,1)}
       101:{3,5}:{(88,1),(91,1),(108,1)}
       102:{1,2,4}:{(89,1),(90,1),(110,1),(111,1)}
       103:{1,3,4}:{(90,1),(91,1),(109,1),(110,1),(111,1)}
       104:{4,7}:{(93,1),(94,1)}
       105:{1,5,7}:{(95,1),(96,1),(98,1),(112,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(112,1),(113,1),(122,1)}
       107:{1,4,6}:{(98,1),(99,1),(100,1),(112,1),(114,1)}
       108:{3,6}:{(99,1),(101,1),(113,1)}
       109:{1,3,5}:{(100,1),(101,1),(103,1),(114,1),(115,1)}
       110:{1,3}:{(102,1),(116,1)}
       111:{2,4}:{(103,1),(115,1),(116,1),(117,1)}
       112:{1,4,7}:{(105,1),(106,1),(107,1),(118,1)}
       113:{3,7}:{(106,1),(108,1)}
       114:{1,3,6}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{2,5}:{(109,1),(111,1),(119,1),(120,1)}
       116:{2,3}:{(110,1),(111,1),(121,1)}
       117:{1,4}:{(111,1),(120,1),(121,1)}
       118:{1,3,7}:{(112,1),(113,1),(114,1),(122,1)}
       119:{2,6}:{(114,1),(115,1),(122,1),(123,1)}
       120:{1,5}:{(115,1),(117,1),(123,1)}
       121:{1,3}:{(116,1),(117,1),(124,1)}
       122:{2,7}:{(118,1),(119,1),(125,1)}
       123:{1,6}:{(119,1),(120,1),(125,1)}
       124:{1,2}:{(121,1)}
       125:{1,7}:{(122,1),(123,1)}

1126 :   0:{1,2,6,7}:{(3,1),(4,1),(125,1),(207,1),(210,1),(220,1),(278,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(69,1),(125,1),(278,1),(281,1),(341,1)}
         2:{3,4,6,7}:{(5,1),(7,1),(28,1),(30,1),(69,1),(341,1),(343,1),(386,1)}
         3:{1,3,6,7}:{(0,1),(1,1),(8,1),(9,1),(10,1),(89,1),(166,1),(252,1)}
         4:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(90,1),(97,1),(247,1),(260,1),(314,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(9,1),(13,1),(15,1),(44,1),(318,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(42,1),(45,1),(90,1),(314,1),(366,1),(370,1)}
         7:{3,5,7}:{(2,1),(13,1),(16,1),(17,1),(369,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(19,1),(117,1),(125,1),(220,1),(223,1),(228,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(18,1),(20,1),(22,1),(59,1),(292,1)}
        10:{1,3,5,7}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(22,1),(24,1),(66,1),(126,1)}
        11:{1,2,5,6}:{(4,1),(21,1),(23,1),(125,1),(128,1),(133,1),(209,1),(210,1),(214,1),(222,1),(280,1)}
        12:{1,2,4,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(286,1),(298,1),(344,1),(351,1)}
        13:{2,5,7}:{(5,1),(7,1),(20,1),(25,1),(349,1)}
        14:{2,3,5,6}:{(6,1),(21,1),(25,1),(27,1),(65,1),(69,1),(71,1),(125,1),(128,1),(280,1),(281,1),(284,1),(342,1),(347,1),(349,1)}
        15:{2,4,7}:{(6,1),(22,1),(27,1),(28,1),(386,1)}
        16:{3,5,6}:{(7,1),(25,1),(30,1),(69,1)}
        17:{4,5,7}:{(7,1),(30,1),(386,1),(388,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(35,1),(82,1),(264,1)}
        19:{2,3,5,7}:{(8,1),(10,1),(33,1),(34,1),(35,1),(42,1),(83,1),(90,1),(260,1),(267,1),(333,1)}
        20:{1,5,7}:{(9,1),(13,1),(33,1),(36,1),(328,1)}
        21:{1,3,5,6}:{(10,1),(11,1),(14,1),(34,1),(36,1),(38,1),(41,1),(89,1),(91,1),(96,1),(166,1),(169,1),(252,1),(256,1),(328,1)}
        22:{1,4,7}:{(10,1),(15,1),(35,1),(38,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(38,1),(40,1),(41,1),(92,1),(250,1),(262,1),(316,1),(325,1)}
        24:{1,3,7}:{(12,1),(41,1),(42,1),(333,1),(370,1)}
        25:{2,5,6}:{(13,1),(16,1),(36,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(15,1),(17,1),(37,1),(44,1),(45,1),(46,1),(90,1)}
        27:{2,4,6}:{(14,1),(15,1),(38,1),(46,1),(47,1),(320,1),(368,1)}
        28:{3,4,7}:{(15,1),(45,1),(47,1),(370,1)}
        29:{3,5,6,7}:{(16,1),(43,1),(49,1),(99,1),(107,1),(366,1),(401,1)}
        30:{4,6}:{(16,1),(17,1)}
        31:{3,4,5,7}:{(17,1),(45,1),(51,1),(52,1),(103,1),(107,1),(175,1),(312,1),(369,1),(400,1),(402,1)}
        32:{3,4,6,7}:{(18,1),(53,1),(57,1),(113,1),(117,1),(228,1),(230,1),(305,1)}
        33:{2,5,7}:{(18,1),(20,1),(53,1),(54,1),(303,1)}
        34:{2,3,5,6}:{(19,1),(21,1),(54,1),(56,1),(65,1),(117,1),(119,1),(125,1),(128,1),(222,1),(223,1),(226,1),(229,1),(301,1),(303,1)}
        35:{2,4,7}:{(19,1),(22,1),(56,1),(57,1),(305,1)}
        36:{1,5,6}:{(20,1),(25,1),(54,1),(59,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(26,1),(55,1),(59,1),(60,1),(61,1),(126,1)}
        38:{1,4,6}:{(21,1),(22,1),(27,1),(56,1),(61,1),(295,1)}
        39:{1,3,4,7}:{(22,1),(24,1),(28,1),(57,1),(60,1),(62,1),(63,1)}
        40:{1,2,4,5}:{(23,1),(61,1),(64,1),(128,1),(131,1),(213,1),(214,1),(225,1),(283,1),(293,1),(295,1),(296,1)}
        41:{1,3,6}:{(23,1),(24,1),(64,1),(65,1),(301,1),(347,1)}
        42:{2,3,7}:{(24,1),(63,1),(65,1),(66,1),(351,1)}
        43:{2,5,6,7}:{(25,1),(29,1),(58,1),(67,1),(144,1),(340,1),(391,1)}
        44:{2,4,6}:{(25,1),(26,1),(30,1),(59,1),(69,1),(125,1)}
        45:{3,5,7}:{(26,1),(28,1),(69,1),(71,1)}
        46:{2,4,5}:{(27,1),(61,1),(71,1),(128,1),(349,1),(388,1)}
        47:{3,4,6}:{(27,1),(28,1),(69,1),(71,1),(347,1),(350,1)}
        48:{2,3,4,7}:{(28,1),(63,1),(70,1),(72,1),(73,1),(204,1),(218,1),(282,1),(285,1),(389,1),(394,1)}
        49:{4,6,7}:{(29,1),(30,1),(74,1),(386,1),(408,1)}
        50:{4,5,6}:{(30,1),(74,1),(76,1),(388,1),(408,1)}
        51:{3,4,6}:{(30,1),(31,1),(69,1),(76,1),(77,1),(408,1),(409,1)}
        52:{2,4,5,7}:{(31,1),(70,1),(77,1),(78,1),(140,1),(144,1),(218,1),(282,1),(349,1)}
        53:{3,5,7}:{(32,1),(33,1),(79,1),(80,1),(270,1)}
        54:{2,5,6}:{(33,1),(36,1),(79,1),(82,1)}
        55:{2,4,5,7}:{(33,1),(35,1),(37,1),(80,1),(82,1),(83,1),(84,1),(90,1)}
        56:{2,4,6}:{(34,1),(35,1),(38,1),(84,1),(85,1),(266,1),(269,1)}
        57:{3,4,7}:{(35,1),(83,1),(85,1),(333,1)}
        58:{1,5,6,7}:{(36,1),(43,1),(81,1),(87,1),(185,1),(308,1),(379,1)}
        59:{1,4,6}:{(36,1),(37,1),(44,1),(82,1),(89,1),(166,1)}
        60:{1,3,5,7}:{(37,1),(39,1),(45,1),(83,1),(89,1),(90,1),(91,1)}
        61:{1,4,5}:{(38,1),(46,1),(84,1),(91,1),(169,1),(328,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(41,1),(47,1),(85,1),(89,1),(91,1),(92,1),(94,1)}
        63:{2,4,7}:{(39,1),(42,1),(90,1),(92,1),(93,1)}
        64:{1,3,5}:{(40,1),(41,1),(94,1),(95,1),(265,1),(319,1),(332,1)}
        65:{2,3,6}:{(41,1),(42,1),(92,1),(95,1),(96,1),(325,1)}
        66:{1,3,7}:{(42,1),(93,1),(96,1),(97,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(49,1),(87,1),(98,1),(99,1),(163,1),(403,1)}
        68:{2,4,5,6}:{(44,1),(46,1),(50,1),(88,1),(98,1),(100,1),(109,1),(165,1),(178,1),(310,1),(316,1),(368,1),(374,1),(403,1)}
        69:{3,6}:{(44,1),(45,1)}
        70:{2,3,5,7}:{(45,1),(48,1),(52,1),(90,1),(101,1),(102,1),(104,1),(402,1),(405,1)}
        71:{3,5}:{(46,1),(47,1)}
        72:{2,3,4,6}:{(47,1),(48,1),(92,1),(101,1),(104,1),(105,1),(172,1),(178,1),(245,1),(249,1),(318,1),(320,1),(373,1),(381,1)}
        73:{1,3,4,7}:{(48,1),(93,1),(102,1),(105,1),(106,1),(171,1),(189,1),(253,1),(259,1),(321,1),(333,1),(404,1)}
        74:{4,5,7}:{(49,1),(50,1),(107,1)}
        75:{3,4,6,7}:{(49,1),(51,1),(99,1),(107,1),(108,1),(175,1)}
        76:{3,5,6}:{(50,1),(51,1),(107,1),(109,1),(369,1)}
        77:{2,4,6}:{(51,1),(52,1),(101,1),(109,1),(110,1)}
        78:{1,4,5,7}:{(52,1),(102,1),(110,1),(111,1),(182,1),(185,1),(253,1),(259,1),(328,1)}
        79:{3,5,6}:{(53,1),(54,1),(113,1),(117,1)}
        80:{4,5,7}:{(53,1),(113,1),(305,1),(307,1)}
        81:{2,5,6,7}:{(54,1),(58,1),(112,1),(115,1),(227,1),(271,1),(363,1)}
        82:{2,4,6}:{(54,1),(55,1),(59,1),(113,1),(117,1),(125,1)}
        83:{3,5,7}:{(55,1),(57,1),(117,1),(119,1)}
        84:{2,4,5}:{(56,1),(61,1),(119,1),(128,1),(303,1),(307,1)}
        85:{3,4,6}:{(56,1),(57,1),(117,1),(119,1),(301,1),(304,1)}
        86:{2,3,4,7}:{(57,1),(63,1),(118,1),(120,1),(121,1),(143,1),(224,1),(276,1),(285,1),(361,1),(394,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(67,1),(115,1),(122,1),(123,1),(207,1),(396,1)}
        88:{1,4,5,6}:{(59,1),(61,1),(68,1),(116,1),(122,1),(124,1),(146,1),(209,1),(221,1),(273,1),(279,1),(358,1),(396,1)}
        89:{1,3,6}:{(59,1),(60,1),(69,1),(117,1),(125,1)}
        90:{2,5,7}:{(60,1),(63,1),(125,1),(126,1),(128,1)}
        91:{1,3,5}:{(61,1),(62,1),(71,1),(119,1),(128,1)}
        92:{2,4,6}:{(62,1),(63,1),(65,1),(125,1),(128,1),(129,1),(131,1)}
        93:{1,4,7}:{(63,1),(66,1),(126,1),(129,1)}
        94:{1,3,4}:{(64,1),(131,1),(295,1),(304,1),(350,1)}
        95:{2,3,5}:{(64,1),(65,1),(128,1),(131,1),(132,1),(293,1),(297,1)}
        96:{1,3,6}:{(65,1),(66,1),(129,1),(132,1),(133,1)}
        97:{1,2,7}:{(66,1),(133,1),(351,1)}
        98:{2,4,5,7}:{(67,1),(68,1),(74,1),(122,1),(134,1),(144,1),(206,1),(218,1),(340,1),(344,1),(386,1)}
        99:{3,6,7}:{(67,1),(69,1),(134,1),(409,1)}
       100:{3,5,6}:{(68,1),(69,1),(71,1),(134,1),(136,1),(347,1),(392,1),(409,1)}
       101:{2,3,6}:{(69,1),(70,1),(77,1),(125,1),(138,1),(409,1),(411,1)}
       102:{1,3,5,7}:{(70,1),(73,1),(78,1),(126,1),(138,1),(139,1),(141,1),(148,1),(410,1)}
       103:{3,4,5}:{(71,1),(136,1),(140,1),(350,1),(388,1),(392,1)}
       104:{2,3,5}:{(71,1),(72,1),(128,1),(140,1),(141,1),(349,1),(392,1),(398,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(129,1),(138,1),(141,1),(142,1),(215,1),(216,1),(221,1),(230,1),(289,1),(292,1),(295,1),(301,1),(304,1),(397,1)}
       106:{2,4,7}:{(73,1),(139,1),(142,1),(143,1),(351,1)}
       107:{3,5,7}:{(74,1),(75,1),(76,1),(144,1)}
       108:{2,4,6,7}:{(75,1),(77,1),(135,1),(144,1),(145,1),(218,1)}
       109:{2,5,6}:{(76,1),(77,1),(144,1),(146,1),(349,1)}
       110:{1,4,6}:{(77,1),(78,1),(138,1),(146,1),(147,1)}
       111:{2,4,5,7}:{(78,1),(139,1),(147,1),(148,1),(224,1),(225,1),(227,1),(298,1),(303,1),(305,1),(307,1)}
       112:{3,5,6,7}:{(79,1),(81,1),(149,1),(154,1),(231,1),(267,1),(339,1)}
       113:{4,6}:{(79,1),(80,1)}
       114:{3,4,5,7}:{(80,1),(83,1),(151,1),(152,1),(158,1),(189,1),(231,1),(236,1),(270,1),(338,1),(384,1)}
       115:{2,4,6,7}:{(81,1),(82,1),(87,1),(149,1),(153,1),(154,1),(163,1),(385,1)}
       116:{2,4,5,6}:{(82,1),(84,1),(88,1),(150,1),(153,1),(155,1),(165,1),(187,1),(233,1),(239,1),(262,1),(269,1),(337,1),(385,1)}
       117:{3,6}:{(82,1),(83,1)}
       118:{2,3,5,7}:{(83,1),(86,1),(90,1),(152,1),(156,1),(157,1),(159,1),(384,1),(405,1)}
       119:{3,5}:{(84,1),(85,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(92,1),(156,1),(159,1),(160,1),(172,1),(184,1),(239,1),(249,1),(264,1),(266,1),(336,1),(381,1)}
       121:{1,3,4,7}:{(86,1),(93,1),(157,1),(160,1),(161,1),(171,1),(253,1),(312,1),(313,1),(321,1),(370,1),(404,1)}
       122:{1,4,5,7}:{(87,1),(88,1),(98,1),(153,1),(162,1),(185,1),(247,1),(259,1),(308,1),(313,1)}
       123:{1,3,6,7}:{(87,1),(89,1),(99,1),(154,1),(162,1),(163,1),(406,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(91,1),(100,1),(155,1),(162,1),(164,1),(165,1),(382,1),(406,1)}
       125:{2,6}:{(89,1),(90,1),(166,1)}
       126:{1,5,7}:{(90,1),(93,1),(166,1),(169,1)}
       127:{1,3,4,5}:{(91,1),(94,1),(103,1),(158,1),(164,1),(168,1),(182,1),(243,1),(254,1),(265,1),(319,1),(331,1),(382,1)}
       128:{2,5}:{(91,1),(92,1),(169,1)}
       129:{1,4,6}:{(92,1),(93,1),(96,1),(166,1),(169,1),(173,1)}
       130:{1,2,4,7}:{(93,1),(97,1),(106,1),(161,1),(167,1),(170,1),(171,1),(253,1),(375,1),(404,1)}
       131:{2,4}:{(94,1),(95,1),(173,1)}
       132:{1,3,5}:{(95,1),(96,1),(169,1),(173,1),(174,1),(258,1)}
       133:{1,2,6}:{(96,1),(97,1),(174,1),(325,1)}
       134:{3,5,7}:{(98,1),(99,1),(100,1),(175,1),(370,1)}
       135:{2,3,6,7}:{(99,1),(101,1),(108,1),(163,1),(176,1),(177,1)}
       136:{3,4,6}:{(100,1),(103,1),(175,1),(178,1),(368,1)}
       137:{2,3,5,6}:{(100,1),(101,1),(104,1),(109,1),(165,1),(176,1),(178,1),(179,1),(249,1)}
       138:{1,3,6}:{(101,1),(102,1),(110,1),(166,1),(180,1),(188,1),(412,1)}
       139:{2,5,7}:{(102,1),(106,1),(180,1),(183,1)}
       140:{2,4,5}:{(103,1),(104,1),(178,1),(182,1),(320,1)}
       141:{1,3,5}:{(104,1),(105,1),(169,1),(182,1),(183,1),(265,1),(270,1),(328,1),(407,1)}
       142:{2,4,6}:{(105,1),(106,1),(180,1),(183,1),(184,1),(257,1),(266,1),(325,1)}
       143:{2,3,7}:{(106,1),(171,1),(184,1),(333,1)}
       144:{2,5,7}:{(107,1),(108,1),(109,1),(185,1)}
       145:{1,4,6,7}:{(108,1),(110,1),(177,1),(185,1),(186,1),(259,1)}
       146:{1,5,6}:{(109,1),(110,1),(185,1),(187,1),(328,1)}
       147:{2,4,6}:{(110,1),(111,1),(180,1),(187,1),(188,1),(269,1)}
       148:{3,5,7}:{(111,1),(188,1),(189,1),(265,1),(270,1),(333,1)}
       149:{4,6,7}:{(112,1),(113,1),(190,1),(305,1),(365,1)}
       150:{4,5,6}:{(113,1),(190,1),(192,1),(307,1),(365,1)}
       151:{3,4,6}:{(113,1),(114,1),(117,1),(192,1),(193,1),(365,1),(399,1)}
       152:{2,4,5,7}:{(114,1),(118,1),(193,1),(194,1),(201,1),(224,1),(271,1),(276,1),(303,1)}
       153:{2,4,5,7}:{(115,1),(116,1),(122,1),(190,1),(195,1),(206,1),(227,1),(271,1),(276,1),(298,1),(305,1)}
       154:{3,6,7}:{(115,1),(117,1),(195,1),(399,1)}
       155:{3,5,6}:{(116,1),(117,1),(119,1),(195,1),(197,1),(301,1),(364,1),(399,1)}
       156:{2,3,6}:{(117,1),(118,1),(125,1),(193,1),(199,1),(399,1),(411,1)}
       157:{1,3,5,7}:{(118,1),(121,1),(126,1),(194,1),(199,1),(200,1),(202,1),(275,1),(410,1)}
       158:{3,4,5}:{(119,1),(197,1),(201,1),(304,1),(307,1),(364,1)}
       159:{2,3,5}:{(119,1),(120,1),(128,1),(201,1),(202,1),(303,1),(364,1),(398,1)}
       160:{1,3,4,6}:{(120,1),(121,1),(129,1),(199,1),(202,1),(203,1),(215,1),(216,1),(279,1),(289,1),(292,1),(295,1),(343,1),(347,1),(350,1),(397,1)}
       161:{2,4,7}:{(121,1),(200,1),(203,1),(204,1),(351,1)}
       162:{1,3,5,7}:{(122,1),(123,1),(124,1),(134,1),(195,1),(205,1),(206,1)}
       163:{2,6,7}:{(123,1),(125,1),(206,1),(207,1),(411,1)}
       164:{1,3,4,6}:{(124,1),(127,1),(136,1),(197,1),(205,1),(208,1),(221,1),(279,1),(289,1),(301,1),(347,1)}
       165:{2,5,6}:{(124,1),(125,1),(128,1),(206,1),(208,1),(209,1),(398,1),(411,1)}
       166:{1,6}:{(125,1),(126,1)}
       167:{1,2,5,7}:{(126,1),(130,1),(139,1),(200,1),(210,1),(211,1),(214,1),(410,1)}
       168:{2,4,5}:{(127,1),(128,1),(131,1),(208,1),(212,1),(213,1),(293,1),(360,1),(398,1)}
       169:{1,5}:{(128,1),(129,1)}
       170:{1,2,4,6}:{(129,1),(130,1),(133,1),(142,1),(203,1),(210,1),(214,1),(215,1),(217,1),(292,1),(295,1),(296,1),(355,1),(397,1)}
       171:{1,3,7}:{(130,1),(143,1),(204,1),(215,1)}
       172:{2,3,4}:{(131,1),(212,1),(216,1),(297,1),(304,1),(350,1),(360,1)}
       173:{1,4}:{(131,1),(132,1)}
       174:{1,2,5}:{(132,1),(133,1),(217,1),(293,1)}
       175:{3,4,7}:{(134,1),(136,1),(218,1),(386,1)}
       176:{2,3,5,7}:{(134,1),(135,1),(137,1),(144,1),(206,1),(218,1),(219,1),(285,1)}
       177:{1,3,6,7}:{(135,1),(138,1),(145,1),(207,1),(219,1),(220,1),(228,1)}
       178:{2,4,6}:{(136,1),(137,1),(140,1),(218,1),(221,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(209,1),(219,1),(221,1),(222,1),(229,1),(289,1),(301,1)}
       180:{2,6}:{(138,1),(139,1)}
       181:{2,3,5,7}:{(139,1),(143,1),(148,1),(211,1),(223,1),(224,1),(226,1),(303,1)}
       182:{1,4,5}:{(140,1),(141,1),(221,1),(225,1),(295,1),(307,1)}
       183:{2,5}:{(141,1),(142,1)}
       184:{2,3,6}:{(142,1),(143,1),(215,1),(226,1),(297,1),(301,1)}
       185:{1,5,7}:{(144,1),(145,1),(146,1),(227,1)}
       186:{2,4,6,7}:{(145,1),(147,1),(220,1),(227,1),(228,1),(298,1),(305,1)}
       187:{2,5,6}:{(146,1),(147,1),(227,1),(229,1),(303,1)}
       188:{3,6}:{(147,1),(148,1)}
       189:{3,4,7}:{(148,1),(224,1),(230,1),(304,1),(305,1)}
       190:{4,5,7}:{(149,1),(150,1),(231,1)}
       191:{3,4,6,7}:{(149,1),(151,1),(154,1),(231,1),(232,1),(236,1)}
       192:{3,5,6}:{(150,1),(151,1),(231,1),(233,1),(270,1)}
       193:{2,4,6}:{(151,1),(152,1),(156,1),(233,1),(234,1)}
       194:{1,4,5,7}:{(152,1),(157,1),(234,1),(235,1),(243,1),(253,1),(308,1),(313,1),(328,1)}
       195:{3,5,7}:{(153,1),(154,1),(155,1),(236,1),(333,1)}
       196:{2,3,6,7}:{(154,1),(156,1),(163,1),(232,1),(237,1),(238,1)}
       197:{3,4,6}:{(155,1),(158,1),(236,1),(239,1),(269,1)}
       198:{2,3,5,6}:{(155,1),(156,1),(159,1),(165,1),(233,1),(237,1),(239,1),(240,1),(249,1)}
       199:{1,3,6}:{(156,1),(157,1),(166,1),(234,1),(241,1),(311,1),(412,1)}
       200:{2,5,7}:{(157,1),(161,1),(241,1),(244,1)}
       201:{2,4,5}:{(158,1),(159,1),(239,1),(243,1),(266,1)}
       202:{1,3,5}:{(159,1),(160,1),(169,1),(243,1),(244,1),(319,1),(328,1),(369,1),(407,1)}
       203:{2,4,6}:{(160,1),(161,1),(241,1),(244,1),(245,1),(257,1),(320,1),(325,1)}
       204:{2,3,7}:{(161,1),(171,1),(245,1),(370,1)}
       205:{1,3,4,7}:{(162,1),(164,1),(175,1),(236,1),(246,1),(259,1),(313,1),(321,1),(333,1),(370,1)}
       206:{2,5,7}:{(162,1),(163,1),(165,1),(246,1),(247,1)}
       207:{1,6,7}:{(163,1),(166,1),(247,1),(412,1)}
       208:{2,4,6}:{(164,1),(165,1),(168,1),(246,1),(249,1),(250,1),(325,1)}
       209:{1,5,6}:{(165,1),(166,1),(169,1),(247,1),(250,1),(407,1),(412,1)}
       210:{1,2,6}:{(166,1),(167,1),(180,1),(241,1),(252,1),(412,1)}
       211:{1,3,5,7}:{(167,1),(171,1),(181,1),(242,1),(252,1),(253,1),(256,1),(328,1)}
       212:{2,3,5}:{(168,1),(172,1),(249,1),(254,1),(265,1),(319,1)}
       213:{1,4,5}:{(168,1),(169,1),(173,1),(250,1),(254,1),(383,1),(407,1)}
       214:{1,2,5}:{(169,1),(170,1),(183,1),(244,1),(256,1),(328,1),(407,1)}
       215:{1,3,6}:{(170,1),(171,1),(184,1),(245,1),(256,1),(258,1),(332,1)}
       216:{1,3,4}:{(172,1),(173,1),(254,1),(257,1),(258,1),(332,1),(383,1)}
       217:{1,2,4}:{(173,1),(174,1),(257,1),(258,1)}
       218:{2,4,7}:{(175,1),(176,1),(178,1),(259,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(179,1),(185,1),(247,1),(259,1),(260,1),(267,1),(321,1),(333,1)}
       220:{2,6,7}:{(177,1),(180,1),(260,1)}
       221:{1,4,6}:{(178,1),(179,1),(182,1),(259,1),(262,1),(269,1)}
       222:{2,5,6}:{(179,1),(180,1),(183,1),(260,1),(262,1),(325,1)}
       223:{2,3,6}:{(180,1),(181,1),(188,1),(252,1),(264,1)}
       224:{2,4,7}:{(181,1),(189,1),(253,1),(264,1),(266,1)}
       225:{2,4,5}:{(182,1),(183,1),(262,1),(265,1),(266,1)}
       226:{2,3,5}:{(183,1),(184,1),(256,1),(265,1),(266,1)}
       227:{2,5,7}:{(185,1),(186,1),(187,1),(267,1)}
       228:{3,6,7}:{(186,1),(188,1),(267,1),(333,1)}
       229:{3,5,6}:{(187,1),(188,1),(267,1),(269,1),(270,1)}
       230:{3,4,6}:{(188,1),(189,1),(264,1),(269,1),(270,1)}
       231:{3,5,7}:{(190,1),(191,1),(192,1),(271,1)}
       232:{2,4,6,7}:{(191,1),(193,1),(196,1),(271,1),(272,1),(276,1)}
       233:{2,5,6}:{(192,1),(193,1),(271,1),(273,1),(303,1)}
       234:{1,4,6}:{(193,1),(194,1),(199,1),(273,1),(274,1)}
       235:{2,4,5,7}:{(194,1),(200,1),(274,1),(275,1),(282,1),(283,1),(340,1),(344,1),(349,1),(386,1),(388,1)}
       236:{3,4,7}:{(195,1),(197,1),(276,1),(305,1)}
       237:{2,3,5,7}:{(195,1),(196,1),(198,1),(206,1),(271,1),(276,1),(277,1),(285,1)}
       238:{1,3,6,7}:{(196,1),(199,1),(207,1),(272,1),(277,1),(278,1),(341,1)}
       239:{2,4,6}:{(197,1),(198,1),(201,1),(276,1),(279,1)}
       240:{1,3,5,6}:{(198,1),(199,1),(202,1),(209,1),(273,1),(277,1),(279,1),(280,1),(289,1),(342,1),(347,1)}
       241:{2,6}:{(199,1),(200,1)}
       242:{2,3,5,7}:{(200,1),(204,1),(211,1),(275,1),(281,1),(282,1),(284,1),(349,1)}
       243:{1,4,5}:{(201,1),(202,1),(279,1),(283,1),(295,1),(388,1)}
       244:{2,5}:{(202,1),(203,1)}
       245:{2,3,6}:{(203,1),(204,1),(215,1),(284,1),(297,1),(347,1)}
       246:{2,4,7}:{(205,1),(206,1),(208,1),(285,1),(286,1),(351,1)}
       247:{1,5,7}:{(206,1),(207,1),(209,1),(286,1)}
       248:{1,2,6,7}:{(207,1),(210,1),(220,1),(278,1),(287,1),(288,1),(411,1)}
       249:{2,3,6}:{(208,1),(212,1),(285,1),(289,1),(301,1),(347,1)}
       250:{1,4,6}:{(208,1),(209,1),(213,1),(286,1),(289,1)}
       251:{1,2,5,6}:{(209,1),(210,1),(214,1),(222,1),(280,1),(287,1),(290,1),(291,1),(355,1),(398,1),(411,1)}
       252:{1,3,6}:{(210,1),(211,1),(223,1),(281,1),(292,1)}
       253:{1,4,7}:{(211,1),(224,1),(282,1),(292,1),(295,1)}
       254:{1,3,5}:{(212,1),(213,1),(216,1),(289,1),(293,1)}
       255:{1,2,4,5}:{(213,1),(214,1),(217,1),(225,1),(283,1),(290,1),(293,1),(294,1),(295,1),(358,1),(360,1),(398,1)}
       256:{1,3,5}:{(214,1),(215,1),(226,1),(284,1),(295,1)}
       257:{2,4}:{(216,1),(293,1),(297,1)}
       258:{1,3}:{(217,1),(297,1)}
       259:{1,4,7}:{(218,1),(219,1),(221,1),(298,1),(305,1)}
       260:{2,5,7}:{(219,1),(220,1),(222,1),(298,1),(351,1)}
       261:{2,3,6,7}:{(220,1),(223,1),(228,1),(288,1),(299,1),(300,1),(399,1),(411,1)}
       262:{2,4,6}:{(221,1),(222,1),(225,1),(298,1),(301,1)}
       263:{2,3,5,6}:{(222,1),(223,1),(226,1),(229,1),(291,1),(299,1),(301,1),(302,1),(303,1),(356,1),(363,1),(364,1),(398,1),(399,1),(411,1)}
       264:{2,4,6}:{(223,1),(224,1),(230,1),(292,1),(303,1)}
       265:{3,5}:{(225,1),(301,1),(304,1)}
       266:{2,4}:{(226,1),(295,1),(304,1)}
       267:{3,5,7}:{(227,1),(228,1),(229,1),(305,1)}
       268:{3,4,6,7}:{(228,1),(230,1),(300,1),(305,1),(306,1),(361,1),(365,1),(399,1)}
       269:{4,6}:{(229,1),(305,1),(307,1)}
       270:{3,5}:{(230,1),(303,1),(307,1)}
       271:{2,5,7}:{(231,1),(232,1),(233,1),(308,1)}
       272:{1,4,6,7}:{(232,1),(234,1),(238,1),(308,1),(309,1),(313,1)}
       273:{1,5,6}:{(233,1),(234,1),(308,1),(310,1),(328,1)}
       274:{2,4,6}:{(234,1),(235,1),(241,1),(310,1),(311,1),(368,1)}
       275:{3,5,7}:{(235,1),(311,1),(312,1),(319,1),(369,1),(370,1)}
       276:{2,4,7}:{(236,1),(237,1),(239,1),(313,1)}
       277:{1,3,5,7}:{(237,1),(238,1),(240,1),(247,1),(308,1),(313,1),(314,1),(321,1),(366,1),(370,1)}
       278:{2,6,7}:{(238,1),(241,1),(314,1)}
       279:{1,4,6}:{(239,1),(240,1),(243,1),(313,1),(316,1),(368,1)}
       280:{2,5,6}:{(240,1),(241,1),(244,1),(314,1),(316,1),(325,1)}
       281:{2,3,6}:{(241,1),(242,1),(252,1),(311,1),(318,1)}
       282:{2,4,7}:{(242,1),(253,1),(312,1),(318,1),(320,1)}
       283:{2,4,5}:{(243,1),(244,1),(316,1),(319,1),(320,1)}
       284:{2,3,5}:{(244,1),(245,1),(256,1),(319,1),(320,1)}
       285:{2,3,7}:{(246,1),(249,1),(321,1),(333,1),(370,1)}
       286:{1,4,7}:{(246,1),(247,1),(250,1),(321,1)}
       287:{1,2,5,7}:{(247,1),(248,1),(251,1),(260,1),(314,1),(322,1),(323,1),(375,1),(405,1)}
       288:{1,3,6,7}:{(248,1),(252,1),(261,1),(315,1),(323,1),(324,1),(406,1),(412,1)}
       289:{1,3,6}:{(249,1),(250,1),(254,1),(321,1),(325,1)}
       290:{1,2,4,6}:{(250,1),(251,1),(255,1),(262,1),(316,1),(322,1),(325,1),(326,1),(327,1),(381,1)}
       291:{1,3,5,6}:{(251,1),(252,1),(256,1),(263,1),(317,1),(323,1),(326,1),(327,1),(328,1),(379,1),(380,1),(382,1),(406,1),(407,1),(412,1)}
       292:{1,4,6}:{(252,1),(253,1),(264,1),(318,1),(328,1)}
       293:{2,5}:{(254,1),(257,1),(325,1)}
       294:{1,3,5}:{(255,1),(258,1),(265,1),(319,1),(326,1),(330,1),(331,1)}
       295:{1,4}:{(256,1),(266,1),(320,1)}
       296:{1,2,4}:{(257,1),(329,1),(332,1),(383,1)}
       297:{2,3}:{(257,1),(258,1),(332,1)}
       298:{2,4,7}:{(259,1),(260,1),(262,1),(333,1)}
       299:{2,3,5,7}:{(260,1),(261,1),(263,1),(267,1),(323,1),(333,1),(334,1),(335,1),(376,1),(384,1),(405,1)}
       300:{2,4,6,7}:{(261,1),(264,1),(268,1),(324,1),(334,1),(335,1),(385,1)}
       301:{3,6}:{(262,1),(265,1),(333,1)}
       302:{2,4,6}:{(263,1),(266,1),(269,1),(327,1),(334,1),(336,1),(337,1)}
       303:{2,5}:{(264,1),(270,1),(328,1)}
       304:{3,4}:{(265,1),(266,1)}
       305:{4,7}:{(267,1),(269,1)}
       306:{3,5,7}:{(268,1),(270,1),(335,1),(338,1),(339,1)}
       307:{4,5}:{(269,1),(270,1)}
       308:{1,5,7}:{(271,1),(272,1),(273,1),(340,1)}
       309:{2,4,6,7}:{(272,1),(274,1),(278,1),(340,1),(341,1),(344,1),(386,1)}
       310:{2,5,6}:{(273,1),(274,1),(340,1),(342,1),(349,1)}
       311:{3,6}:{(274,1),(275,1)}
       312:{3,4,7}:{(275,1),(282,1),(343,1),(350,1),(386,1)}
       313:{1,4,7}:{(276,1),(277,1),(279,1),(344,1),(386,1)}
       314:{2,5,7}:{(277,1),(278,1),(280,1),(344,1),(351,1)}
       315:{2,3,6,7}:{(278,1),(281,1),(288,1),(341,1),(345,1),(346,1),(409,1),(411,1)}
       316:{2,4,6}:{(279,1),(280,1),(283,1),(344,1),(347,1)}
       317:{2,3,5,6}:{(280,1),(281,1),(284,1),(291,1),(342,1),(345,1),(347,1),(348,1),(349,1),(356,1),(391,1),(392,1),(398,1),(409,1),(411,1)}
       318:{2,4,6}:{(281,1),(282,1),(292,1),(343,1),(349,1)}
       319:{3,5}:{(283,1),(347,1),(350,1)}
       320:{2,4}:{(284,1),(295,1),(350,1)}
       321:{1,3,7}:{(285,1),(286,1),(289,1),(351,1)}
       322:{1,2,4,7}:{(286,1),(287,1),(290,1),(298,1),(344,1),(351,1),(352,1),(353,1),(394,1)}
       323:{1,3,5,7}:{(287,1),(288,1),(291,1),(299,1),(345,1),(352,1),(353,1),(354,1),(393,1),(410,1)}
       324:{1,4,6,7}:{(288,1),(292,1),(300,1),(346,1),(353,1),(354,1),(396,1)}
       325:{2,6}:{(289,1),(293,1),(351,1)}
       326:{1,3,6}:{(290,1),(294,1),(301,1),(347,1),(352,1),(356,1)}
       327:{1,4,6}:{(291,1),(295,1),(302,1),(348,1),(353,1),(358,1)}
       328:{1,5}:{(292,1),(303,1),(349,1)}
       329:{1,2,5}:{(293,1),(296,1),(355,1),(359,1)}
       330:{2,3,5}:{(293,1),(294,1),(297,1),(356,1),(359,1),(360,1),(398,1)}
       331:{1,3,4}:{(294,1),(295,1),(304,1),(350,1),(360,1)}
       332:{1,3}:{(296,1),(297,1)}
       333:{3,7}:{(298,1),(301,1)}
       334:{2,4,7}:{(299,1),(302,1),(305,1),(353,1),(361,1)}
       335:{2,5,7}:{(300,1),(303,1),(306,1),(354,1),(363,1)}
       336:{3,4,6}:{(301,1),(302,1),(304,1),(361,1),(364,1),(399,1)}
       337:{2,4,5}:{(302,1),(303,1),(307,1),(358,1),(364,1),(398,1)}
       338:{4,5,7}:{(305,1),(306,1),(307,1),(365,1)}
       339:{3,5,6}:{(306,1),(363,1),(365,1),(399,1)}
       340:{2,5,7}:{(308,1),(309,1),(310,1),(366,1)}
       341:{3,6,7}:{(309,1),(311,1),(366,1),(370,1)}
       342:{3,5,6}:{(310,1),(311,1),(366,1),(368,1),(369,1)}
       343:{3,4,6}:{(311,1),(312,1),(318,1),(368,1),(369,1)}
       344:{2,4,7}:{(313,1),(314,1),(316,1),(370,1)}
       345:{2,3,5,7}:{(314,1),(315,1),(317,1),(323,1),(366,1),(370,1),(371,1),(372,1),(376,1),(402,1),(405,1)}
       346:{2,4,6,7}:{(315,1),(318,1),(324,1),(367,1),(371,1),(372,1),(403,1)}
       347:{3,6}:{(316,1),(319,1),(370,1)}
       348:{2,4,6}:{(317,1),(320,1),(327,1),(368,1),(371,1),(373,1),(374,1)}
       349:{2,5}:{(318,1),(328,1),(369,1)}
       350:{3,4}:{(319,1),(320,1)}
       351:{2,7}:{(321,1),(325,1)}
       352:{1,3,7}:{(322,1),(326,1),(333,1),(370,1),(376,1)}
       353:{1,4,7}:{(323,1),(327,1),(334,1),(371,1)}
       354:{1,5,7}:{(324,1),(328,1),(335,1),(372,1),(379,1)}
       355:{1,2,6}:{(325,1),(329,1),(375,1),(380,1)}
       356:{2,3,6}:{(325,1),(326,1),(330,1),(376,1),(380,1),(381,1)}
       357:{1,3,4,6}:{(326,1),(327,1),(331,1),(336,1),(373,1),(377,1),(381,1),(382,1),(406,1)}
       358:{1,4,5}:{(327,1),(328,1),(337,1),(374,1),(382,1),(407,1)}
       359:{1,3,5}:{(329,1),(330,1),(332,1),(380,1),(383,1),(407,1)}
       360:{2,4}:{(330,1),(331,1),(383,1)}
       361:{3,4,7}:{(333,1),(334,1),(336,1),(384,1)}
       362:{2,4,5,7}:{(334,1),(335,1),(337,1),(338,1),(378,1),(384,1),(385,1),(405,1)}
       363:{2,5,6}:{(335,1),(339,1),(379,1),(385,1)}
       364:{3,5}:{(336,1),(337,1)}
       365:{4,6}:{(338,1),(339,1)}
       366:{3,5,7}:{(340,1),(341,1),(342,1),(386,1)}
       367:{3,4,6,7}:{(341,1),(343,1),(346,1),(386,1),(387,1),(389,1),(408,1),(409,1)}
       368:{4,6}:{(342,1),(386,1),(388,1)}
       369:{3,5}:{(343,1),(349,1),(388,1)}
       370:{3,7}:{(344,1),(347,1)}
       371:{2,4,7}:{(345,1),(348,1),(353,1),(386,1),(389,1)}
       372:{2,5,7}:{(346,1),(349,1),(354,1),(387,1),(391,1)}
       373:{3,4,6}:{(347,1),(348,1),(350,1),(389,1),(392,1),(409,1)}
       374:{2,4,5}:{(348,1),(349,1),(358,1),(388,1),(392,1),(398,1)}
       375:{1,2,7}:{(351,1),(355,1),(393,1)}
       376:{2,3,7}:{(351,1),(352,1),(356,1),(393,1),(394,1)}
       377:{1,3,4,7}:{(352,1),(353,1),(357,1),(361,1),(389,1),(394,1),(395,1)}
       378:{1,4,5,7}:{(353,1),(354,1),(358,1),(362,1),(390,1),(395,1),(396,1),(410,1)}
       379:{1,5,6}:{(354,1),(363,1),(391,1),(396,1)}
       380:{1,3,6}:{(355,1),(356,1),(359,1),(393,1),(397,1)}
       381:{2,4,6}:{(356,1),(357,1),(360,1),(394,1),(397,1),(398,1),(411,1)}
       382:{1,3,5}:{(357,1),(358,1),(364,1),(392,1),(398,1)}
       383:{1,4}:{(359,1),(360,1)}
       384:{3,5,7}:{(361,1),(362,1),(364,1),(399,1)}
       385:{2,4,6}:{(362,1),(363,1),(365,1),(396,1),(399,1),(411,1)}
       386:{4,7}:{(366,1),(368,1)}
       387:{3,5,7}:{(367,1),(369,1),(372,1),(400,1),(401,1)}
       388:{4,5}:{(368,1),(369,1)}
       389:{3,4,7}:{(370,1),(371,1),(373,1),(402,1)}
       390:{2,4,5,7}:{(371,1),(372,1),(374,1),(378,1),(400,1),(402,1),(403,1),(405,1)}
       391:{2,5,6}:{(372,1),(379,1),(401,1),(403,1)}
       392:{3,5}:{(373,1),(374,1)}
       393:{1,3,7}:{(375,1),(376,1),(380,1),(404,1)}
       394:{2,4,7}:{(376,1),(377,1),(381,1),(404,1),(405,1)}
       395:{1,3,5,7}:{(377,1),(378,1),(382,1),(384,1),(402,1),(405,1),(406,1)}
       396:{1,4,6}:{(378,1),(379,1),(385,1),(403,1),(406,1),(412,1)}
       397:{1,4,6}:{(380,1),(381,1),(383,1),(404,1),(407,1),(412,1)}
       398:{2,5}:{(381,1),(382,1),(407,1)}
       399:{3,6}:{(384,1),(385,1)}
       400:{4,5,7}:{(386,1),(387,1),(388,1),(408,1)}
       401:{3,5,6}:{(387,1),(391,1),(408,1),(409,1)}
       402:{3,5,7}:{(389,1),(390,1),(392,1),(409,1)}
       403:{2,4,6}:{(390,1),(391,1),(396,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(393,1),(394,1),(397,1),(410,1)}
       405:{2,5,7}:{(394,1),(395,1),(398,1),(410,1),(411,1)}
       406:{1,3,6}:{(395,1),(396,1),(399,1),(409,1),(411,1)}
       407:{1,5}:{(397,1),(398,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(407,1),(412,1)}
       411:{2,6}:{(405,1),(406,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

1127 :   0:{1,2,6}:{(3,1),(4,1),(5,1),(93,1)}
         1:{2,3,6}:{(5,1),(6,1),(7,1),(8,1),(66,1),(93,1)}
         2:{3,4,6}:{(8,1),(9,1),(10,1),(29,1),(34,1),(35,1),(66,1)}
         3:{1,2,5}:{(0,1),(12,1),(13,1),(41,1),(79,1)}
         4:{1,2,7}:{(0,1),(14,1),(100,1)}
         5:{1,3,6}:{(0,1),(1,1),(11,1),(13,1),(14,1),(15,1),(99,1)}
         6:{2,3,5}:{(1,1),(13,1),(16,1),(18,1),(42,1),(47,1),(79,1)}
         7:{2,3,7}:{(1,1),(14,1),(17,1),(83,1),(100,1)}
         8:{2,4,6}:{(1,1),(2,1),(15,1),(16,1),(17,1),(18,1),(49,1)}
         9:{3,4,7}:{(2,1),(17,1),(20,1),(52,1),(83,1)}
        10:{3,5}:{(2,1),(18,1),(19,1)}
        11:{2,3,6}:{(5,1),(22,1),(23,1),(24,1),(89,1),(93,1)}
        12:{1,2,4}:{(3,1),(25,1),(26,1),(61,1)}
        13:{1,3,5}:{(3,1),(5,1),(6,1),(22,1),(25,1),(26,1),(28,1),(60,1),(92,1)}
        14:{1,3,7}:{(4,1),(5,1),(7,1),(23,1),(27,1),(103,1)}
        15:{1,4,6}:{(5,1),(8,1),(24,1),(26,1),(27,1),(28,1),(64,1)}
        16:{2,4}:{(6,1),(26,1),(29,1)}
        17:{2,4,7}:{(7,1),(8,1),(9,1),(27,1),(31,1)}
        18:{2,5}:{(8,1),(10,1),(28,1)}
        19:{4,5}:{(10,1),(34,1)}
        20:{3,5,7}:{(9,1),(10,1),(31,1),(33,1),(35,1)}
        21:{3,5,6}:{(10,1),(32,1),(34,1),(35,1),(36,1),(66,1),(69,1)}
        22:{2,3,5}:{(11,1),(13,1),(38,1),(40,1),(42,1),(74,1),(79,1)}
        23:{2,3,7}:{(11,1),(14,1),(39,1),(98,1),(100,1)}
        24:{2,4,6}:{(11,1),(15,1),(37,1),(38,1),(39,1),(40,1),(76,1)}
        25:{1,3}:{(12,1),(42,1)}
        26:{1,4}:{(13,1),(16,1),(38,1)}
        27:{1,4,7}:{(14,1),(15,1),(17,1),(39,1),(45,1)}
        28:{1,5}:{(15,1),(18,1),(40,1)}
        29:{3,4}:{(16,1),(47,1)}
        30:{2,4,5}:{(16,1),(18,1),(19,1),(44,1),(47,1),(48,1),(79,1)}
        31:{2,5,7}:{(17,1),(18,1),(20,1),(45,1),(49,1)}
        32:{2,5,6}:{(18,1),(21,1),(46,1),(48,1),(49,1),(50,1)}
        33:{4,5,7}:{(19,1),(20,1),(51,1),(52,1),(84,1)}
        34:{4,6}:{(19,1),(21,1),(52,1)}
        35:{3,6}:{(20,1),(49,1),(51,1)}
        36:{3,5,7}:{(21,1),(50,1),(52,1),(53,1),(83,1),(84,1)}
        37:{3,4,6}:{(24,1),(54,1),(55,1),(56,1),(86,1),(87,1),(89,1)}
        38:{2,4}:{(22,1),(26,1),(56,1)}
        39:{2,4,7}:{(23,1),(24,1),(27,1),(54,1),(58,1)}
        40:{2,5}:{(24,1),(28,1),(55,1)}
        41:{1,2}:{(60,1)}
        42:{2,3}:{(25,1),(60,1),(61,1)}
        43:{1,3,4}:{(25,1),(26,1),(29,1),(56,1),(61,1),(62,1)}
        44:{1,4,5}:{(26,1),(28,1),(30,1),(57,1),(62,1),(63,1),(92,1)}
        45:{1,5,7}:{(27,1),(28,1),(31,1),(58,1),(64,1)}
        46:{1,5,6}:{(28,1),(32,1),(59,1),(63,1),(64,1),(65,1)}
        47:{3,5}:{(29,1),(30,1),(66,1)}
        48:{2,4,6}:{(30,1),(32,1),(34,1),(63,1),(66,1),(67,1),(93,1)}
        49:{2,6}:{(31,1),(35,1),(64,1)}
        50:{2,5,7}:{(32,1),(36,1),(65,1),(67,1),(68,1)}
        51:{4,6}:{(33,1),(35,1),(69,1)}
        52:{4,7}:{(34,1),(36,1)}
        53:{3,6,7}:{(35,1),(36,1),(68,1),(70,1)}
        54:{3,4,7}:{(37,1),(39,1),(72,1),(96,1),(98,1)}
        55:{3,5}:{(37,1),(40,1),(71,1)}
        56:{3,4}:{(38,1),(74,1)}
        57:{2,4,5}:{(38,1),(40,1),(44,1),(71,1),(74,1),(75,1),(79,1)}
        58:{2,5,7}:{(39,1),(40,1),(45,1),(72,1),(76,1)}
        59:{2,5,6}:{(40,1),(46,1),(73,1),(75,1),(76,1),(77,1)}
        60:{1,3}:{(41,1),(42,1),(78,1)}
        61:{2,4}:{(42,1),(43,1),(78,1),(79,1)}
        62:{1,3,5}:{(43,1),(44,1),(47,1),(74,1),(79,1),(80,1)}
        63:{1,4,6}:{(44,1),(46,1),(48,1),(75,1),(80,1),(81,1),(99,1)}
        64:{1,6}:{(45,1),(49,1),(76,1)}
        65:{1,5,7}:{(46,1),(50,1),(77,1),(81,1),(82,1)}
        66:{3,6}:{(47,1),(48,1),(83,1)}
        67:{2,4,7}:{(48,1),(50,1),(52,1),(81,1),(83,1),(100,1)}
        68:{2,6,7}:{(49,1),(50,1),(53,1),(82,1)}
        69:{5,6}:{(51,1),(84,1)}
        70:{4,6,7}:{(51,1),(52,1),(53,1),(84,1)}
        71:{4,5}:{(55,1),(86,1)}
        72:{3,5,7}:{(54,1),(55,1),(58,1),(85,1),(87,1)}
        73:{3,5,6}:{(55,1),(59,1),(86,1),(87,1),(88,1),(89,1),(101,1)}
        74:{3,5}:{(56,1),(57,1),(89,1)}
        75:{2,4,6}:{(57,1),(59,1),(63,1),(86,1),(89,1),(90,1),(93,1)}
        76:{2,6}:{(58,1),(64,1),(87,1)}
        77:{2,5,7}:{(59,1),(65,1),(88,1),(90,1),(91,1)}
        78:{1,4}:{(60,1),(61,1),(92,1)}
        79:{2,5}:{(61,1),(62,1),(92,1),(93,1)}
        80:{1,3,6}:{(62,1),(63,1),(66,1),(89,1),(93,1),(94,1)}
        81:{1,4,7}:{(63,1),(65,1),(67,1),(90,1),(94,1),(103,1)}
        82:{1,6,7}:{(64,1),(65,1),(68,1),(91,1)}
        83:{3,7}:{(66,1),(67,1)}
        84:{5,7}:{(69,1),(70,1)}
        85:{4,5,7}:{(71,1),(72,1),(95,1),(96,1),(104,1)}
        86:{4,6}:{(71,1),(73,1),(96,1)}
        87:{3,6}:{(72,1),(76,1),(95,1)}
        88:{3,5,7}:{(73,1),(77,1),(96,1),(97,1),(98,1),(104,1)}
        89:{3,6}:{(74,1),(75,1),(98,1)}
        90:{2,4,7}:{(75,1),(77,1),(81,1),(96,1),(98,1),(100,1)}
        91:{2,6,7}:{(76,1),(77,1),(82,1),(97,1)}
        92:{1,5}:{(78,1),(79,1),(99,1)}
        93:{2,6}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,3,7}:{(80,1),(81,1),(83,1),(98,1),(100,1)}
        95:{4,6}:{(85,1),(87,1),(101,1)}
        96:{4,7}:{(86,1),(88,1)}
        97:{3,6,7}:{(87,1),(88,1),(91,1),(102,1)}
        98:{3,7}:{(89,1),(90,1)}
        99:{1,6}:{(92,1),(93,1),(103,1)}
       100:{2,7}:{(93,1),(94,1),(103,1)}
       101:{5,6}:{(95,1),(104,1)}
       102:{4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,7}:{(99,1),(100,1)}
       104:{5,7}:{(101,1),(102,1)}

1128 :   0:{1,2,7}:{(4,1),(5,1),(103,1)}
         1:{2,3,7}:{(5,1),(6,1),(7,1),(89,1),(103,1)}
         2:{3,4,7}:{(7,1),(8,1),(9,1),(63,1),(89,1)}
         3:{4,5,7}:{(9,1),(10,1),(31,1),(34,1),(63,1)}
         4:{1,2,6}:{(0,1),(12,1),(13,1),(97,1)}
         5:{1,3,7}:{(0,1),(1,1),(11,1),(13,1),(14,1),(104,1)}
         6:{2,3,6}:{(1,1),(13,1),(15,1),(16,1),(76,1),(97,1)}
         7:{2,4,7}:{(1,1),(2,1),(14,1),(16,1),(17,1)}
         8:{3,4,6}:{(2,1),(16,1),(18,1),(19,1),(43,1),(47,1),(76,1)}
         9:{3,5,7}:{(2,1),(3,1),(17,1),(18,1),(19,1)}
        10:{4,6}:{(3,1),(19,1),(20,1)}
        11:{2,3,7}:{(5,1),(22,1),(23,1),(101,1),(103,1)}
        12:{1,2,5}:{(4,1),(24,1),(25,1),(54,1),(86,1)}
        13:{1,3,6}:{(4,1),(5,1),(6,1),(22,1),(25,1),(26,1),(102,1)}
        14:{1,4,7}:{(5,1),(7,1),(23,1),(26,1),(27,1)}
        15:{2,3,5}:{(6,1),(25,1),(28,1),(29,1),(55,1),(60,1),(86,1)}
        16:{2,4,6}:{(6,1),(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        17:{2,5,7}:{(7,1),(9,1),(27,1),(29,1),(30,1)}
        18:{3,5}:{(8,1),(29,1),(31,1)}
        19:{3,6}:{(9,1),(10,1),(30,1)}
        20:{5,6}:{(10,1),(34,1)}
        21:{4,6,7}:{(10,1),(33,1),(34,1),(63,1)}
        22:{2,3,6}:{(11,1),(13,1),(36,1),(37,1),(94,1),(97,1)}
        23:{2,4,7}:{(11,1),(14,1),(35,1),(37,1),(38,1)}
        24:{1,2,4}:{(12,1),(39,1),(40,1),(72,1)}
        25:{1,3,5}:{(12,1),(13,1),(15,1),(36,1),(39,1),(40,1),(41,1),(71,1),(96,1)}
        26:{1,4,6}:{(13,1),(14,1),(16,1),(37,1),(40,1),(41,1),(42,1)}
        27:{1,5,7}:{(14,1),(17,1),(38,1),(41,1),(42,1)}
        28:{2,4}:{(15,1),(40,1),(43,1)}
        29:{2,5}:{(16,1),(18,1),(41,1)}
        30:{2,6}:{(17,1),(19,1),(42,1)}
        31:{4,5}:{(18,1),(47,1)}
        32:{3,5,6}:{(18,1),(19,1),(20,1),(45,1),(47,1),(48,1),(76,1)}
        33:{3,6,7}:{(19,1),(21,1),(46,1),(48,1)}
        34:{5,7}:{(20,1),(21,1)}
        35:{3,4,7}:{(23,1),(49,1),(50,1),(100,1),(101,1)}
        36:{2,3,5}:{(22,1),(25,1),(51,1),(52,1),(55,1),(82,1),(86,1)}
        37:{2,4,6}:{(22,1),(23,1),(26,1),(49,1),(51,1),(52,1),(53,1)}
        38:{2,5,7}:{(23,1),(27,1),(50,1),(52,1),(53,1)}
        39:{1,3}:{(24,1),(55,1)}
        40:{1,4}:{(25,1),(28,1),(51,1)}
        41:{1,5}:{(26,1),(29,1),(52,1)}
        42:{1,6}:{(27,1),(30,1),(53,1)}
        43:{3,4}:{(28,1),(60,1)}
        44:{2,4,5}:{(28,1),(29,1),(31,1),(57,1),(60,1),(61,1),(86,1)}
        45:{2,5,6}:{(29,1),(30,1),(32,1),(58,1),(61,1),(62,1)}
        46:{2,6,7}:{(30,1),(33,1),(59,1),(62,1)}
        47:{4,6}:{(31,1),(32,1),(63,1)}
        48:{3,5,7}:{(32,1),(33,1),(34,1),(62,1),(63,1),(89,1)}
        49:{3,4,6}:{(35,1),(37,1),(65,1),(66,1),(67,1),(92,1),(94,1)}
        50:{3,5,7}:{(35,1),(38,1),(64,1),(65,1),(66,1)}
        51:{2,4}:{(36,1),(40,1),(67,1)}
        52:{2,5}:{(37,1),(41,1),(65,1)}
        53:{2,6}:{(38,1),(42,1),(66,1)}
        54:{1,2}:{(71,1)}
        55:{2,3}:{(39,1),(71,1),(72,1)}
        56:{1,3,4}:{(39,1),(40,1),(43,1),(67,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(41,1),(44,1),(68,1),(73,1),(74,1),(96,1)}
        58:{1,5,6}:{(41,1),(42,1),(45,1),(69,1),(74,1),(75,1)}
        59:{1,6,7}:{(42,1),(46,1),(70,1),(75,1)}
        60:{3,5}:{(43,1),(44,1),(76,1)}
        61:{2,4,6}:{(44,1),(45,1),(47,1),(74,1),(76,1),(77,1),(97,1)}
        62:{2,5,7}:{(45,1),(46,1),(48,1),(75,1),(77,1)}
        63:{4,7}:{(47,1),(48,1)}
        64:{4,5,7}:{(50,1),(78,1),(79,1),(99,1),(100,1)}
        65:{3,5}:{(49,1),(52,1),(79,1)}
        66:{3,6}:{(50,1),(53,1),(78,1)}
        67:{3,4}:{(51,1),(82,1)}
        68:{2,4,5}:{(51,1),(52,1),(57,1),(79,1),(82,1),(83,1),(86,1)}
        69:{2,5,6}:{(52,1),(53,1),(58,1),(80,1),(83,1),(84,1)}
        70:{2,6,7}:{(53,1),(59,1),(81,1),(84,1)}
        71:{1,3}:{(54,1),(55,1),(85,1)}
        72:{2,4}:{(55,1),(56,1),(85,1),(86,1)}
        73:{1,3,5}:{(56,1),(57,1),(60,1),(82,1),(86,1),(87,1)}
        74:{1,4,6}:{(57,1),(58,1),(61,1),(83,1),(87,1),(88,1),(102,1)}
        75:{1,5,7}:{(58,1),(59,1),(62,1),(84,1),(88,1)}
        76:{3,6}:{(60,1),(61,1),(89,1)}
        77:{2,4,7}:{(61,1),(62,1),(63,1),(88,1),(89,1),(103,1)}
        78:{4,6}:{(64,1),(66,1),(90,1)}
        79:{4,5}:{(65,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(69,1),(90,1),(92,1),(93,1),(94,1)}
        81:{3,6,7}:{(66,1),(70,1),(91,1),(93,1)}
        82:{3,5}:{(67,1),(68,1),(94,1)}
        83:{2,4,6}:{(68,1),(69,1),(74,1),(92,1),(94,1),(95,1),(97,1)}
        84:{2,5,7}:{(69,1),(70,1),(75,1),(93,1),(95,1)}
        85:{1,4}:{(71,1),(72,1),(96,1)}
        86:{2,5}:{(72,1),(73,1),(96,1),(97,1)}
        87:{1,3,6}:{(73,1),(74,1),(76,1),(94,1),(97,1),(98,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1),(95,1),(98,1),(104,1)}
        89:{3,7}:{(76,1),(77,1)}
        90:{5,6}:{(78,1),(99,1)}
        91:{4,6,7}:{(78,1),(81,1),(99,1),(100,1)}
        92:{4,6}:{(79,1),(80,1),(100,1)}
        93:{3,5,7}:{(80,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        94:{3,6}:{(82,1),(83,1),(101,1)}
        95:{2,4,7}:{(83,1),(84,1),(88,1),(100,1),(101,1),(103,1)}
        96:{1,5}:{(85,1),(86,1),(102,1)}
        97:{2,6}:{(86,1),(87,1),(102,1),(103,1)}
        98:{1,3,7}:{(87,1),(88,1),(89,1),(101,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{1,6}:{(96,1),(97,1),(104,1)}
       103:{2,7}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

1129 :   0:{4,5,6}:{(2,1),(3,1),(143,1),(151,1)}
         1:{3,4,5}:{(5,1),(6,1),(119,1),(139,1)}
         2:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(139,1),(150,1)}
         3:{4,5,7}:{(0,1),(8,1),(9,1)}
         4:{2,3,4}:{(10,1),(11,1),(68,1),(106,1)}
         5:{3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         6:{2,4,5}:{(1,1),(10,1),(12,1),(14,1),(106,1),(132,1)}
         7:{2,5,6}:{(2,1),(12,1),(15,1),(16,1),(132,1),(147,1)}
         8:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(17,1)}
         9:{4,6,7}:{(3,1),(17,1),(18,1),(151,1)}
        10:{2,3,5}:{(4,1),(6,1),(20,1),(21,1)}
        11:{1,3,4}:{(4,1),(21,1),(22,1),(50,1),(56,1),(90,1)}
        12:{2,4,6}:{(5,1),(6,1),(7,1),(20,1),(23,1),(24,1)}
        13:{3,4,7}:{(5,1),(8,1),(24,1)}
        14:{1,4,5}:{(6,1),(21,1),(23,1),(25,1),(90,1),(122,1)}
        15:{1,5,6}:{(7,1),(23,1),(26,1),(27,1),(122,1),(142,1)}
        16:{2,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1)}
        17:{3,6,7}:{(8,1),(9,1),(28,1),(150,1)}
        18:{5,6,7}:{(9,1),(153,1)}
        19:{2,3,4}:{(30,1),(31,1),(36,1),(73,1)}
        20:{2,3,6}:{(10,1),(12,1),(33,1),(34,1)}
        21:{1,3,5}:{(10,1),(11,1),(14,1),(33,1),(35,1),(39,1)}
        22:{2,4}:{(11,1),(35,1),(36,1)}
        23:{1,4,6}:{(12,1),(14,1),(15,1),(33,1),(37,1),(38,1)}
        24:{2,4,7}:{(12,1),(13,1),(16,1),(34,1),(38,1)}
        25:{2,4,5}:{(14,1),(35,1),(37,1),(39,1),(73,1),(76,1),(109,1)}
        26:{2,5,6}:{(15,1),(37,1),(40,1),(41,1),(109,1),(135,1)}
        27:{1,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1)}
        28:{2,6,7}:{(16,1),(17,1),(42,1),(147,1)}
        29:{3,4,5}:{(44,1),(45,1),(56,1),(93,1)}
        30:{2,3,5}:{(19,1),(45,1),(46,1),(47,1)}
        31:{1,3,4}:{(19,1),(47,1),(48,1),(50,1),(90,1),(119,1)}
        32:{1,2,4}:{(22,1),(48,1),(49,1),(50,1),(90,1)}
        33:{1,3,6}:{(20,1),(21,1),(23,1),(51,1),(52,1),(54,1)}
        34:{2,3,7}:{(20,1),(24,1),(52,1)}
        35:{2,5}:{(21,1),(22,1),(51,1)}
        36:{2,3}:{(22,1),(50,1)}
        37:{2,4,6}:{(23,1),(25,1),(26,1),(51,1),(54,1),(55,1),(57,1)}
        38:{1,4,7}:{(23,1),(24,1),(27,1),(52,1),(55,1)}
        39:{3,5}:{(25,1),(54,1),(56,1)}
        40:{3,5,6}:{(26,1),(54,1),(57,1),(58,1),(93,1),(125,1),(126,1)}
        41:{2,5,7}:{(26,1),(27,1),(55,1),(58,1),(59,1)}
        42:{1,6,7}:{(27,1),(28,1),(59,1),(142,1)}
        43:{4,5,6}:{(60,1),(61,1),(76,1),(112,1)}
        44:{3,4,6}:{(29,1),(60,1),(62,1),(63,1)}
        45:{2,4,5}:{(29,1),(30,1),(62,1),(64,1),(73,1),(109,1)}
        46:{2,3,6}:{(30,1),(62,1),(65,1),(66,1)}
        47:{1,3,5}:{(30,1),(31,1),(64,1),(65,1),(67,1),(103,1)}
        48:{2,4}:{(31,1),(67,1),(68,1)}
        49:{1,2,5}:{(32,1),(35,1),(67,1),(69,1),(70,1)}
        50:{1,3}:{(32,1),(36,1),(68,1)}
        51:{2,6}:{(33,1),(35,1),(72,1)}
        52:{1,3,7}:{(33,1),(34,1),(38,1),(72,1),(75,1)}
        53:{2,3,5}:{(35,1),(36,1),(39,1),(70,1),(71,1),(73,1),(109,1)}
        54:{3,6}:{(37,1),(39,1),(75,1)}
        55:{2,4,7}:{(37,1),(38,1),(41,1),(72,1),(75,1),(77,1)}
        56:{3,4}:{(39,1),(73,1)}
        57:{4,6}:{(40,1),(76,1),(77,1)}
        58:{3,5,7}:{(40,1),(41,1),(75,1),(77,1),(78,1),(113,1)}
        59:{2,6,7}:{(41,1),(42,1),(78,1),(135,1)}
        60:{3,5,6}:{(43,1),(44,1),(79,1),(80,1),(93,1),(125,1)}
        61:{4,5,7}:{(43,1),(80,1),(81,1)}
        62:{2,4,6}:{(44,1),(45,1),(46,1),(79,1),(82,1),(83,1)}
        63:{3,4,7}:{(44,1),(80,1),(83,1)}
        64:{1,4,5}:{(45,1),(47,1),(82,1),(84,1),(90,1),(122,1)}
        65:{1,3,6}:{(46,1),(47,1),(82,1),(85,1),(86,1),(117,1)}
        66:{2,3,7}:{(46,1),(83,1),(86,1)}
        67:{2,5}:{(47,1),(48,1),(85,1)}
        68:{2,3}:{(48,1),(50,1)}
        69:{1,2,6}:{(49,1),(51,1),(85,1),(88,1),(89,1)}
        70:{1,3,5}:{(49,1),(50,1),(53,1),(87,1),(88,1),(90,1),(122,1)}
        71:{2,3,6}:{(51,1),(53,1),(54,1),(88,1),(91,1),(92,1)}
        72:{2,7}:{(51,1),(52,1)}
        73:{2,4}:{(53,1),(56,1),(90,1)}
        74:{3,4,6}:{(54,1),(56,1),(57,1),(91,1),(93,1),(94,1),(125,1)}
        75:{3,7}:{(54,1),(55,1)}
        76:{4,5}:{(57,1),(93,1)}
        77:{4,7}:{(57,1),(58,1)}
        78:{3,6,7}:{(58,1),(59,1),(96,1),(125,1)}
        79:{2,5,6}:{(60,1),(62,1),(97,1),(98,1),(109,1),(135,1)}
        80:{3,5,7}:{(60,1),(61,1),(63,1),(98,1),(99,1)}
        81:{4,6,7}:{(61,1),(99,1),(100,1),(112,1)}
        82:{1,4,6}:{(62,1),(64,1),(65,1),(97,1),(101,1),(102,1)}
        83:{2,4,7}:{(62,1),(63,1),(66,1),(98,1),(102,1)}
        84:{2,4,5}:{(64,1),(67,1),(101,1),(103,1),(106,1),(132,1),(143,1)}
        85:{2,6}:{(65,1),(67,1),(105,1)}
        86:{1,3,7}:{(65,1),(66,1),(102,1),(105,1),(131,1)}
        87:{2,3,5}:{(67,1),(68,1),(70,1),(103,1),(104,1),(106,1),(132,1)}
        88:{1,3,6}:{(69,1),(70,1),(71,1),(104,1),(107,1),(108,1)}
        89:{1,2,7}:{(69,1),(72,1),(105,1),(108,1)}
        90:{1,4}:{(70,1),(73,1),(106,1)}
        91:{2,4,6}:{(71,1),(73,1),(74,1),(107,1),(109,1),(110,1),(135,1)}
        92:{2,3,7}:{(71,1),(72,1),(75,1),(108,1),(110,1)}
        93:{3,5}:{(74,1),(76,1),(109,1)}
        94:{3,4,7}:{(74,1),(75,1),(77,1),(110,1),(111,1)}
        95:{4,5,7}:{(76,1),(77,1),(111,1),(112,1),(113,1)}
        96:{4,6,7}:{(77,1),(78,1),(112,1),(113,1)}
        97:{1,5,6}:{(79,1),(82,1),(114,1),(115,1),(122,1),(142,1)}
        98:{2,5,7}:{(79,1),(80,1),(83,1),(115,1),(116,1)}
        99:{3,6,7}:{(80,1),(81,1),(116,1),(125,1)}
       100:{5,6,7}:{(81,1),(126,1)}
       101:{2,4,6}:{(82,1),(84,1),(85,1),(114,1),(117,1),(118,1),(136,1)}
       102:{1,4,7}:{(82,1),(83,1),(86,1),(115,1),(118,1)}
       103:{3,5}:{(84,1),(117,1),(119,1)}
       104:{2,3,6}:{(85,1),(87,1),(88,1),(117,1),(120,1),(121,1)}
       105:{2,7}:{(85,1),(86,1)}
       106:{2,4}:{(87,1),(90,1),(119,1)}
       107:{1,4,6}:{(88,1),(90,1),(91,1),(120,1),(122,1),(123,1),(142,1)}
       108:{1,3,7}:{(88,1),(89,1),(92,1),(121,1),(123,1)}
       109:{2,5}:{(91,1),(93,1),(122,1)}
       110:{2,4,7}:{(91,1),(92,1),(94,1),(123,1),(124,1)}
       111:{3,5,7}:{(93,1),(94,1),(95,1),(124,1),(125,1)}
       112:{4,6}:{(95,1),(125,1),(126,1)}
       113:{5,7}:{(96,1),(126,1)}
       114:{2,5,6}:{(97,1),(101,1),(127,1),(128,1),(132,1),(147,1)}
       115:{1,5,7}:{(97,1),(98,1),(102,1),(128,1),(129,1)}
       116:{2,6,7}:{(98,1),(99,1),(129,1),(135,1)}
       117:{3,6}:{(101,1),(103,1),(131,1)}
       118:{2,4,7}:{(101,1),(102,1),(105,1),(128,1),(131,1),(144,1)}
       119:{3,4}:{(103,1),(106,1)}
       120:{2,4,6}:{(104,1),(106,1),(107,1),(130,1),(132,1),(133,1),(147,1)}
       121:{2,3,7}:{(104,1),(105,1),(108,1),(131,1),(133,1)}
       122:{1,5}:{(107,1),(109,1),(132,1)}
       123:{1,4,7}:{(107,1),(108,1),(110,1),(133,1),(134,1)}
       124:{2,5,7}:{(109,1),(110,1),(111,1),(134,1),(135,1)}
       125:{3,6}:{(111,1),(112,1),(135,1)}
       126:{5,6}:{(112,1),(113,1)}
       127:{3,5,6}:{(114,1),(117,1),(136,1),(137,1),(139,1),(150,1),(153,1)}
       128:{2,5,7}:{(114,1),(115,1),(118,1),(137,1),(138,1)}
       129:{1,6,7}:{(115,1),(116,1),(138,1),(142,1)}
       130:{3,4,6}:{(117,1),(119,1),(120,1),(136,1),(139,1),(140,1),(150,1)}
       131:{3,7}:{(117,1),(118,1)}
       132:{2,5}:{(120,1),(122,1),(139,1)}
       133:{2,4,7}:{(120,1),(121,1),(123,1),(140,1),(141,1)}
       134:{1,5,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       135:{2,6}:{(124,1),(125,1),(142,1)}
       136:{4,6}:{(127,1),(143,1),(144,1)}
       137:{3,5,7}:{(127,1),(128,1),(131,1),(144,1),(145,1),(152,1)}
       138:{2,6,7}:{(128,1),(129,1),(145,1),(147,1)}
       139:{3,5}:{(130,1),(132,1),(143,1)}
       140:{3,4,7}:{(130,1),(131,1),(133,1),(144,1),(146,1)}
       141:{2,5,7}:{(132,1),(133,1),(134,1),(146,1),(147,1)}
       142:{1,6}:{(134,1),(135,1),(147,1)}
       143:{4,5}:{(136,1),(139,1)}
       144:{4,7}:{(136,1),(137,1)}
       145:{3,6,7}:{(137,1),(138,1),(149,1),(150,1)}
       146:{3,5,7}:{(139,1),(140,1),(141,1),(148,1),(150,1)}
       147:{2,6}:{(141,1),(142,1),(150,1)}
       148:{4,5,7}:{(143,1),(144,1),(146,1),(151,1),(152,1)}
       149:{4,6,7}:{(144,1),(145,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(151,1)}
       151:{4,6}:{(148,1),(150,1),(153,1)}
       152:{5,7}:{(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1130 :   0:{1,2,7}:{(4,1),(5,1),(102,1)}
         1:{2,3,7}:{(4,1),(6,1),(7,1),(89,1),(102,1)}
         2:{3,4,7}:{(6,1),(8,1),(9,1),(62,1),(89,1)}
         3:{4,5,7}:{(8,1),(10,1),(33,1),(34,1),(62,1)}
         4:{1,3,7}:{(0,1),(1,1),(11,1),(12,1),(13,1),(104,1)}
         5:{1,2,6}:{(0,1),(13,1),(14,1),(97,1)}
         6:{2,4,7}:{(1,1),(2,1),(12,1),(15,1),(16,1)}
         7:{2,3,6}:{(1,1),(13,1),(16,1),(17,1),(76,1),(97,1)}
         8:{3,5,7}:{(2,1),(3,1),(15,1),(18,1),(19,1)}
         9:{3,4,6}:{(2,1),(16,1),(18,1),(19,1),(46,1),(48,1),(76,1)}
        10:{4,6}:{(3,1),(18,1),(21,1)}
        11:{2,3,7}:{(4,1),(22,1),(23,1),(101,1),(102,1)}
        12:{1,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1)}
        13:{1,3,6}:{(4,1),(5,1),(7,1),(23,1),(25,1),(26,1),(103,1)}
        14:{1,2,5}:{(5,1),(26,1),(27,1),(86,1),(88,1)}
        15:{2,5,7}:{(6,1),(8,1),(24,1),(28,1),(29,1)}
        16:{2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(26,1),(29,1),(30,1),(58,1),(61,1),(86,1)}
        18:{3,6}:{(8,1),(10,1),(28,1)}
        19:{3,5}:{(9,1),(29,1),(33,1)}
        20:{4,6,7}:{(10,1),(31,1),(34,1),(62,1)}
        21:{5,6}:{(10,1),(34,1)}
        22:{2,4,7}:{(11,1),(12,1),(35,1),(36,1),(37,1)}
        23:{2,3,6}:{(11,1),(13,1),(37,1),(38,1),(95,1),(97,1)}
        24:{1,5,7}:{(12,1),(15,1),(36,1),(39,1),(40,1)}
        25:{1,4,6}:{(12,1),(13,1),(16,1),(37,1),(39,1),(40,1),(41,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(38,1),(40,1),(41,1),(42,1),(74,1),(98,1)}
        27:{1,2,4}:{(14,1),(41,1),(42,1),(73,1)}
        28:{2,6}:{(15,1),(18,1),(39,1)}
        29:{2,5}:{(16,1),(19,1),(40,1)}
        30:{2,4}:{(17,1),(41,1),(46,1)}
        31:{3,6,7}:{(18,1),(20,1),(43,1),(47,1)}
        32:{3,5,6}:{(18,1),(19,1),(21,1),(44,1),(47,1),(48,1),(76,1)}
        33:{4,5}:{(19,1),(48,1)}
        34:{5,7}:{(20,1),(21,1)}
        35:{3,4,7}:{(22,1),(49,1),(50,1),(100,1),(101,1)}
        36:{2,5,7}:{(22,1),(24,1),(49,1),(51,1),(52,1)}
        37:{2,4,6}:{(22,1),(23,1),(25,1),(50,1),(51,1),(52,1),(53,1)}
        38:{2,3,5}:{(23,1),(26,1),(52,1),(53,1),(58,1),(83,1),(86,1)}
        39:{1,6}:{(24,1),(28,1),(51,1)}
        40:{1,5}:{(25,1),(29,1),(52,1)}
        41:{1,4}:{(26,1),(30,1),(53,1)}
        42:{1,3}:{(27,1),(58,1)}
        43:{2,6,7}:{(28,1),(31,1),(54,1),(59,1)}
        44:{2,5,6}:{(28,1),(29,1),(32,1),(55,1),(59,1),(60,1)}
        45:{2,4,5}:{(29,1),(30,1),(33,1),(56,1),(60,1),(61,1),(86,1)}
        46:{3,4}:{(30,1),(61,1)}
        47:{3,5,7}:{(31,1),(32,1),(34,1),(59,1),(62,1),(89,1)}
        48:{4,6}:{(32,1),(33,1),(62,1)}
        49:{3,5,7}:{(35,1),(36,1),(63,1),(64,1),(65,1)}
        50:{3,4,6}:{(35,1),(37,1),(64,1),(65,1),(69,1),(93,1),(95,1)}
        51:{2,6}:{(36,1),(39,1),(64,1)}
        52:{2,5}:{(37,1),(40,1),(65,1)}
        53:{2,4}:{(38,1),(41,1),(69,1)}
        54:{1,6,7}:{(39,1),(43,1),(66,1),(70,1)}
        55:{1,5,6}:{(39,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        56:{1,4,5}:{(40,1),(41,1),(45,1),(68,1),(71,1),(72,1),(98,1)}
        57:{1,3,4}:{(41,1),(42,1),(46,1),(69,1),(72,1),(73,1)}
        58:{2,3}:{(42,1),(73,1),(74,1)}
        59:{2,5,7}:{(43,1),(44,1),(47,1),(70,1),(75,1)}
        60:{2,4,6}:{(44,1),(45,1),(48,1),(71,1),(75,1),(76,1),(97,1)}
        61:{3,5}:{(45,1),(46,1),(76,1)}
        62:{4,7}:{(47,1),(48,1)}
        63:{4,5,7}:{(49,1),(77,1),(80,1),(99,1),(100,1)}
        64:{3,6}:{(49,1),(51,1),(77,1)}
        65:{3,5}:{(50,1),(52,1),(80,1)}
        66:{2,6,7}:{(51,1),(54,1),(78,1),(81,1)}
        67:{2,5,6}:{(51,1),(52,1),(55,1),(79,1),(81,1),(82,1)}
        68:{2,4,5}:{(52,1),(53,1),(56,1),(80,1),(82,1),(83,1),(86,1)}
        69:{3,4}:{(53,1),(83,1)}
        70:{1,5,7}:{(54,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,4,6}:{(55,1),(56,1),(60,1),(82,1),(84,1),(85,1),(103,1)}
        72:{1,3,5}:{(56,1),(57,1),(61,1),(83,1),(85,1),(86,1)}
        73:{2,4}:{(57,1),(58,1),(86,1),(87,1)}
        74:{1,3}:{(58,1),(87,1),(88,1)}
        75:{2,4,7}:{(59,1),(60,1),(62,1),(84,1),(89,1),(102,1)}
        76:{3,6}:{(60,1),(61,1),(89,1)}
        77:{4,6}:{(63,1),(64,1),(91,1)}
        78:{3,6,7}:{(64,1),(66,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(65,1),(67,1),(91,1),(92,1),(93,1),(95,1)}
        80:{4,5}:{(65,1),(93,1)}
        81:{2,5,7}:{(66,1),(67,1),(70,1),(92,1),(94,1)}
        82:{2,4,6}:{(67,1),(68,1),(71,1),(93,1),(94,1),(95,1),(97,1)}
        83:{3,5}:{(68,1),(69,1),(95,1)}
        84:{1,4,7}:{(70,1),(71,1),(75,1),(94,1),(96,1),(104,1)}
        85:{1,3,6}:{(71,1),(72,1),(76,1),(95,1),(96,1),(97,1)}
        86:{2,5}:{(72,1),(73,1),(97,1),(98,1)}
        87:{1,4}:{(73,1),(74,1),(98,1)}
        88:{1,2}:{(74,1)}
        89:{3,7}:{(75,1),(76,1)}
        90:{4,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        91:{5,6}:{(77,1),(99,1)}
        92:{3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1),(101,1)}
        93:{4,6}:{(79,1),(80,1),(100,1)}
        94:{2,4,7}:{(81,1),(82,1),(84,1),(100,1),(101,1),(102,1)}
        95:{3,6}:{(82,1),(83,1),(101,1)}
        96:{1,3,7}:{(84,1),(85,1),(89,1),(101,1),(102,1)}
        97:{2,6}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,5}:{(86,1),(87,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{2,7}:{(96,1),(97,1),(104,1)}
       103:{1,6}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

1131 :  0:{1,2}:{(5,1)}
        1:{2,3}:{(5,1),(6,1)}
        2:{3,4}:{(6,1),(7,1)}
        3:{4,5}:{(7,1),(8,1)}
        4:{5,6}:{(8,1),(9,1)}
        5:{1,3}:{(0,1),(1,1),(10,1),(11,1)}
        6:{2,4}:{(1,1),(2,1),(11,1),(12,1)}
        7:{3,5}:{(2,1),(3,1),(12,1),(13,1)}
        8:{4,6}:{(3,1),(4,1),(13,1),(14,1)}
        9:{5,7}:{(4,1),(14,1),(15,1)}
       10:{2,3}:{(5,1),(16,1)}
       11:{1,4}:{(5,1),(6,1),(16,1),(17,1)}
       12:{2,5}:{(6,1),(7,1),(17,1),(18,1)}
       13:{3,6}:{(7,1),(8,1),(18,1),(19,1)}
       14:{4,7}:{(8,1),(9,1),(19,1)}
       15:{6,7}:{(9,1)}
       16:{2,4}:{(10,1),(11,1),(20,1),(21,1)}
       17:{1,5}:{(11,1),(12,1),(21,1),(22,1)}
       18:{2,6}:{(12,1),(13,1),(22,1),(23,1)}
       19:{3,7}:{(13,1),(14,1),(23,1)}
       20:{3,4}:{(16,1),(24,1)}
       21:{2,5}:{(16,1),(17,1),(24,1),(25,1)}
       22:{1,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,7}:{(18,1),(19,1),(26,1)}
       24:{3,5}:{(20,1),(21,1),(27,1),(28,1)}
       25:{2,6}:{(21,1),(22,1),(28,1),(29,1)}
       26:{1,7}:{(22,1),(23,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

1132 :  0:{6,7}:{(5,1)}
        1:{5,6}:{(5,1),(6,1)}
        2:{4,5}:{(6,1),(7,1)}
        3:{3,4}:{(7,1),(8,1)}
        4:{2,3}:{(8,1),(9,1)}
        5:{5,7}:{(0,1),(1,1),(10,1)}
        6:{4,6}:{(1,1),(2,1),(10,1),(11,1)}
        7:{3,5}:{(2,1),(3,1),(11,1),(12,1)}
        8:{2,4}:{(3,1),(4,1),(12,1),(13,1)}
        9:{1,3}:{(4,1),(13,1),(14,1),(22,1)}
       10:{4,7}:{(5,1),(6,1),(15,1)}
       11:{3,6}:{(6,1),(7,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
       13:{1,4}:{(8,1),(9,1),(17,1),(18,1)}
       14:{2}:{(9,1)}
       15:{3,7}:{(10,1),(11,1),(19,1)}
       16:{2,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{1,5}:{(12,1),(13,1),(20,1),(21,1)}
       18:{2,4}:{(13,1),(14,1),(21,1),(22,1),(28,1)}
       19:{2,7}:{(15,1),(16,1),(23,1)}
       20:{1,6}:{(16,1),(17,1),(23,1),(24,1)}
       21:{2,5}:{(17,1),(18,1),(24,1),(25,1)}
       22:{3}:{(18,1)}
       23:{1,7}:{(19,1),(20,1),(26,1)}
       24:{2,6}:{(20,1),(21,1),(26,1),(27,1)}
       25:{3,5}:{(21,1),(22,1),(27,1),(28,1),(32,1)}
       26:{2,7}:{(23,1),(24,1),(29,1)}
       27:{3,6}:{(24,1),(25,1),(29,1),(30,1)}
       28:{4}:{(25,1)}
       29:{3,7}:{(26,1),(27,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(31,1),(32,1),(34,1)}
       31:{4,7}:{(29,1),(30,1),(33,1)}
       32:{5}:{(30,1)}
       33:{5,7}:{(31,1),(32,1),(34,1)}
       34:{6}:{(33,1)}

1133 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1134 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(22,1),(29,1),(33,1),(39,1),(69,1),(70,1),(83,1),(124,1),(156,1),(191,1),(193,1),(205,1),(247,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(29,1),(78,1),(137,1),(205,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(23,1),(29,1),(37,1),(76,1),(91,1)}
         3:{1,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(43,1),(64,1),(157,1),(220,1),(223,1),(235,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(13,1),(42,1),(47,1),(58,1),(62,1),(114,1),(184,1),(189,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(14,1),(15,1),(189,1),(235,1)}
         6:{1,2,5,7}:{(1,1),(13,1),(15,1),(20,1),(108,1),(172,1),(229,1)}
         7:{1,3,4,5,7}:{(10,1),(16,1),(17,1),(21,1),(43,1),(52,1),(55,1),(64,1),(117,1),(161,1),(162,1),(173,1),(174,1),(186,1),(223,1),(235,1),(238,1),(280,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(42,1),(50,1),(62,1)}
         9:{1,3,5,7}:{(2,1),(18,1),(20,1),(21,1),(43,1),(64,1)}
        10:{1,3,4,7}:{(3,1),(22,1),(23,1),(29,1),(76,1),(247,1),(249,1)}
        11:{2,3,5,7}:{(3,1),(22,1),(24,1),(25,1),(69,1),(83,1),(125,1),(192,1)}
        12:{1,3,6}:{(3,1),(4,1),(25,1),(91,1),(216,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(36,1),(69,1),(88,1),(149,1),(191,1),(254,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(25,1),(27,1),(28,1),(91,1),(137,1),(155,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1),(156,1),(200,1)}
        16:{2,4,5,7}:{(7,1),(22,1),(32,1),(33,1),(34,1),(69,1),(79,1),(83,1),(128,1),(139,1),(147,1),(193,1),(205,1),(214,1)}
        17:{1,3,4,6}:{(7,1),(34,1),(35,1),(37,1),(84,1),(91,1),(150,1),(151,1),(216,1),(263,1),(295,1)}
        18:{1,3,5,6}:{(9,1),(36,1),(37,1),(91,1)}
        19:{1,4,6,7}:{(8,1),(27,1),(38,1),(68,1),(75,1),(90,1)}
        20:{2,5,7}:{(8,1),(9,1),(36,1),(38,1),(69,1)}
        21:{1,4,5,7}:{(9,1),(29,1),(37,1),(39,1),(70,1),(156,1)}
        22:{2,4,7}:{(10,1),(11,1),(41,1),(42,1),(222,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(42,1),(43,1),(47,1),(102,1)}
        24:{1,3,5,7}:{(11,1),(41,1),(44,1),(45,1),(96,1),(98,1),(163,1)}
        25:{2,3,6}:{(11,1),(12,1),(42,1),(45,1),(114,1)}
        26:{1,3,5,6}:{(12,1),(13,1),(15,1),(43,1),(46,1),(47,1),(189,1),(220,1),(227,1),(228,1)}
        27:{1,3,6,7}:{(14,1),(19,1),(45,1),(48,1),(49,1),(122,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(20,1),(46,1),(49,1),(50,1),(64,1),(123,1),(168,1),(172,1),(235,1)}
        29:{1,4,7}:{(15,1),(47,1),(50,1)}
        30:{1,3,4,6,7}:{(17,1),(51,1),(52,1),(54,1),(105,1),(111,1),(173,1),(174,1),(235,1)}
        31:{1,3,5,6,7}:{(18,1),(52,1),(53,1),(54,1),(111,1),(237,1)}
        32:{2,3,5,7}:{(16,1),(40,1),(55,1),(56,1),(64,1),(95,1),(123,1),(223,1),(235,1),(280,1),(305,1)}
        33:{1,4,5,7}:{(16,1),(41,1),(55,1),(58,1),(98,1),(108,1),(161,1),(173,1),(179,1),(240,1)}
        34:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(59,1),(114,1)}
        35:{1,3,5,6}:{(17,1),(43,1),(52,1),(59,1),(60,1),(121,1),(186,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1),(62,1)}
        37:{1,4,6}:{(18,1),(21,1),(62,1),(189,1)}
        38:{1,5,7}:{(19,1),(20,1),(61,1),(98,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(50,1),(62,1),(63,1),(64,1),(99,1),(123,1)}
        40:{2,3,4,7}:{(22,1),(32,1),(65,1),(66,1),(76,1),(125,1),(136,1),(139,1),(147,1),(249,1),(260,1),(261,1),(293,1)}
        41:{1,4,7}:{(22,1),(24,1),(68,1),(195,1)}
        42:{2,4,6}:{(22,1),(23,1),(25,1),(68,1),(69,1)}
        43:{1,3,5}:{(23,1),(69,1),(70,1),(132,1)}
        44:{1,2,5,7}:{(24,1),(67,1),(71,1),(83,1),(130,1),(312,1)}
        45:{1,3,6}:{(24,1),(25,1),(68,1),(71,1)}
        46:{2,3,5,6}:{(25,1),(26,1),(28,1),(36,1),(69,1),(72,1),(73,1),(91,1),(132,1),(149,1),(155,1),(192,1),(197,1),(198,1),(216,1)}
        47:{1,4,6}:{(26,1),(29,1),(70,1),(73,1),(247,1)}
        48:{1,2,6,7}:{(27,1),(71,1),(74,1),(137,1),(155,1),(210,1)}
        49:{1,3,5,7}:{(27,1),(28,1),(38,1),(72,1),(74,1),(75,1),(135,1)}
        50:{2,4,7}:{(28,1),(29,1),(73,1),(75,1),(76,1)}
        51:{2,4,6,7}:{(30,1),(34,1),(77,1),(78,1),(79,1),(137,1),(139,1),(205,1)}
        52:{1,3,5,7}:{(30,1),(35,1),(79,1),(80,1),(143,1)}
        53:{2,5,6,7}:{(31,1),(36,1),(79,1),(81,1),(82,1),(258,1)}
        54:{1,4,6,7}:{(31,1),(37,1),(80,1),(82,1),(210,1),(263,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(65,1),(83,1),(84,1),(127,1),(156,1),(312,1)}
        56:{2,3,6}:{(32,1),(34,1),(84,1),(91,1),(155,1),(216,1),(295,1),(311,1)}
        57:{1,2,4,5,7}:{(33,1),(67,1),(83,1),(86,1),(87,1),(130,1),(141,1),(147,1),(193,1),(195,1),(205,1),(208,1),(214,1),(218,1),(259,1),(312,1)}
        58:{1,4,6}:{(33,1),(34,1),(84,1),(88,1)}
        59:{2,5,6}:{(34,1),(35,1),(69,1),(79,1),(88,1),(214,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(70,1),(80,1),(89,1),(150,1),(218,1),(219,1),(263,1)}
        61:{1,5,6}:{(36,1),(38,1),(90,1)}
        62:{2,4,6}:{(36,1),(37,1),(39,1),(90,1),(91,1),(155,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(75,1),(90,1),(92,1),(131,1)}
        64:{3,5,7}:{(39,1),(76,1),(91,1),(132,1)}
        65:{1,3,4,7}:{(40,1),(41,1),(55,1),(93,1),(94,1),(96,1),(157,1),(169,1),(173,1),(179,1),(235,1),(281,1),(306,1)}
        66:{2,3,4,6}:{(40,1),(42,1),(56,1),(94,1),(95,1),(102,1),(116,1),(159,1),(167,1),(182,1),(222,1),(244,1),(245,1),(271,1),(283,1)}
        67:{1,2,4,7}:{(41,1),(44,1),(93,1),(96,1),(97,1),(306,1),(307,1)}
        68:{1,4,6}:{(41,1),(42,1),(45,1),(98,1)}
        69:{2,5}:{(42,1),(43,1),(98,1)}
        70:{1,4,5}:{(43,1),(47,1),(99,1),(227,1)}
        71:{1,2,6}:{(44,1),(45,1),(114,1),(314,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(49,1),(61,1),(98,1),(100,1),(101,1),(122,1),(163,1),(165,1),(166,1)}
        73:{2,4,6}:{(46,1),(47,1),(50,1),(99,1),(101,1),(102,1),(222,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(100,1),(103,1),(123,1),(172,1),(239,1)}
        75:{1,4,7}:{(49,1),(50,1),(101,1)}
        76:{3,4,7}:{(50,1),(64,1),(102,1),(235,1)}
        77:{2,3,6,7}:{(51,1),(56,1),(105,1),(106,1),(111,1),(178,1),(235,1)}
        78:{1,4,6,7}:{(51,1),(58,1),(105,1),(108,1),(173,1)}
        79:{2,5,7}:{(51,1),(52,1),(59,1),(108,1)}
        80:{1,4,5,7}:{(52,1),(54,1),(60,1),(109,1),(173,1),(239,1)}
        81:{1,5,6,7}:{(53,1),(61,1),(108,1),(110,1),(275,1)}
        82:{2,4,6,7}:{(53,1),(54,1),(62,1),(109,1),(110,1),(111,1),(178,1),(279,1)}
        83:{2,5,7}:{(55,1),(93,1),(114,1),(160,1)}
        84:{1,3,6}:{(55,1),(56,1),(58,1),(114,1),(189,1),(314,1)}
        85:{2,3,5,6}:{(56,1),(59,1),(95,1),(106,1),(115,1),(116,1),(121,1),(188,1),(245,1)}
        86:{1,3,5,7}:{(57,1),(96,1),(113,1),(117,1),(118,1),(163,1),(186,1),(223,1),(235,1),(280,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(114,1),(118,1),(119,1),(182,1),(184,1),(187,1),(279,1),(314,1)}
        88:{1,5,6}:{(58,1),(59,1),(98,1),(108,1),(240,1)}
        89:{2,4,5,6}:{(59,1),(60,1),(62,1),(99,1),(109,1),(116,1),(120,1),(121,1),(184,1),(188,1),(243,1),(279,1)}
        90:{1,4,6}:{(61,1),(62,1),(63,1),(122,1)}
        91:{3,6}:{(62,1),(64,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(104,1),(122,1),(123,1),(165,1)}
        93:{2,4,7}:{(65,1),(83,1),(125,1),(126,1),(296,1)}
        94:{1,3,4,6}:{(65,1),(66,1),(68,1),(84,1),(126,1),(127,1),(129,1),(150,1),(190,1),(195,1),(199,1),(211,1),(216,1),(247,1),(249,1),(268,1),(288,1),(298,1)}
        95:{2,3,5}:{(66,1),(69,1),(127,1),(128,1),(132,1),(197,1),(214,1),(267,1),(297,1)}
        96:{1,3,7}:{(67,1),(125,1),(129,1)}
        97:{1,2,4,6}:{(67,1),(68,1),(71,1),(126,1),(129,1),(130,1),(195,1),(298,1),(299,1),(309,1)}
        98:{1,5}:{(68,1),(69,1)}
        99:{2,4,5}:{(69,1),(70,1),(73,1),(131,1),(132,1),(197,1)}
       100:{1,2,5,6}:{(71,1),(72,1),(74,1),(130,1),(133,1),(149,1),(155,1),(197,1),(219,1)}
       101:{1,4,6}:{(72,1),(73,1),(75,1),(131,1),(195,1)}
       102:{3,4,6}:{(73,1),(76,1),(91,1),(132,1),(216,1),(249,1)}
       103:{1,2,4,7}:{(74,1),(75,1),(133,1),(135,1),(136,1),(205,1),(262,1),(296,1)}
       104:{1,3,4,7}:{(75,1),(76,1),(92,1),(134,1),(135,1),(136,1)}
       105:{1,3,6,7}:{(77,1),(78,1),(84,1),(137,1),(138,1),(210,1)}
       106:{2,3,5,7}:{(77,1),(79,1),(85,1),(138,1),(139,1),(143,1),(209,1),(261,1)}
       107:{1,2,4,6,7}:{(78,1),(87,1),(137,1),(140,1),(141,1),(203,1),(205,1),(208,1)}
       108:{1,5,7}:{(78,1),(79,1),(88,1)}
       109:{2,4,5,7}:{(79,1),(80,1),(82,1),(89,1),(139,1),(142,1),(143,1),(205,1),(209,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(90,1),(142,1),(144,1),(291,1)}
       111:{3,6,7}:{(82,1),(91,1),(143,1),(295,1)}
       112:{1,2,5,7}:{(83,1),(124,1),(145,1),(146,1),(156,1),(191,1)}
       113:{2,3,5,7}:{(83,1),(86,1),(125,1),(145,1),(147,1),(148,1),(192,1),(214,1)}
       114:{2,6}:{(83,1),(84,1)}
       115:{1,3,5,6}:{(84,1),(85,1),(88,1),(127,1),(138,1),(149,1),(150,1),(216,1),(219,1),(268,1)}
       116:{2,4,6}:{(85,1),(128,1),(139,1),(150,1),(151,1)}
       117:{1,3,4,7}:{(86,1),(147,1),(152,1),(195,1),(208,1),(249,1),(260,1)}
       118:{1,3,6}:{(86,1),(87,1),(148,1),(216,1),(295,1)}
       119:{1,2,5,6}:{(87,1),(88,1),(130,1),(141,1),(149,1),(153,1),(214,1),(258,1),(299,1)}
       120:{1,4,5,6}:{(88,1),(89,1),(90,1),(131,1),(142,1),(150,1),(154,1),(264,1),(291,1)}
       121:{3,5,6}:{(89,1),(91,1),(132,1),(143,1),(151,1),(216,1),(267,1),(295,1)}
       122:{1,3,6}:{(90,1),(91,1),(92,1),(155,1)}
       123:{2,5,7}:{(92,1),(136,1),(155,1),(156,1),(197,1)}
       124:{1,2,4,7}:{(93,1),(112,1),(157,1),(158,1),(169,1),(179,1),(229,1)}
       125:{2,3,7}:{(93,1),(96,1),(157,1),(159,1),(235,1)}
       126:{2,4,6}:{(93,1),(94,1),(114,1),(159,1),(160,1),(222,1),(285,1),(302,1)}
       127:{1,3,5}:{(94,1),(95,1),(98,1),(160,1),(161,1),(223,1),(227,1),(240,1),(308,1)}
       128:{2,4,5}:{(95,1),(116,1),(161,1),(162,1),(222,1)}
       129:{1,3,6}:{(96,1),(97,1),(159,1),(163,1),(313,1)}
       130:{1,2,5}:{(97,1),(98,1),(160,1),(163,1),(308,1)}
       131:{1,4,5}:{(98,1),(99,1),(101,1),(165,1)}
       132:{3,5}:{(99,1),(102,1)}
       133:{1,2,4,6}:{(100,1),(101,1),(103,1),(164,1),(166,1),(167,1),(184,1),(246,1),(285,1)}
       134:{1,3,4,6}:{(101,1),(102,1),(104,1),(122,1),(165,1),(166,1),(167,1),(225,1)}
       135:{1,3,7}:{(103,1),(166,1),(168,1),(235,1)}
       136:{2,4,7}:{(104,1),(123,1),(167,1),(168,1),(169,1)}
       137:{2,6,7}:{(105,1),(114,1),(172,1)}
       138:{1,3,5,7}:{(105,1),(106,1),(108,1),(115,1),(172,1),(173,1),(235,1),(239,1),(281,1)}
       139:{2,4,7}:{(106,1),(116,1),(173,1),(174,1)}
       140:{1,3,6,7}:{(107,1),(118,1),(171,1),(176,1),(235,1),(314,1)}
       141:{1,2,5,7}:{(107,1),(108,1),(119,1),(172,1),(176,1),(233,1),(307,1)}
       142:{1,4,5,7}:{(108,1),(109,1),(110,1),(120,1),(173,1),(177,1)}
       143:{3,5,7}:{(109,1),(111,1),(121,1),(174,1),(235,1)}
       144:{1,3,6,7}:{(110,1),(111,1),(122,1),(177,1),(178,1),(304,1)}
       145:{1,3,5,7}:{(112,1),(113,1),(157,1),(179,1),(180,1),(220,1),(240,1)}
       146:{1,2,6}:{(112,1),(114,1),(180,1),(189,1)}
       147:{2,4,7}:{(113,1),(117,1),(179,1),(182,1),(222,1)}
       148:{2,3,6}:{(113,1),(114,1),(118,1),(180,1),(182,1)}
       149:{2,5,6}:{(114,1),(115,1),(160,1),(172,1),(184,1),(285,1)}
       150:{1,4,6}:{(115,1),(116,1),(161,1),(173,1),(184,1)}
       151:{3,4,6}:{(116,1),(121,1),(162,1),(174,1)}
       152:{1,3,4,6}:{(117,1),(118,1),(182,1),(186,1),(187,1),(244,1)}
       153:{1,3,5,6}:{(118,1),(119,1),(163,1),(176,1),(183,1),(186,1),(187,1),(284,1),(308,1),(314,1)}
       154:{1,3,5,6}:{(120,1),(121,1),(122,1),(165,1),(177,1),(185,1),(188,1),(282,1),(304,1)}
       155:{2,6}:{(122,1),(123,1),(189,1)}
       156:{1,5,7}:{(123,1),(169,1),(189,1),(227,1)}
       157:{1,3,7}:{(124,1),(125,1),(190,1)}
       158:{1,2,4,6}:{(124,1),(126,1),(146,1),(190,1),(191,1),(199,1),(211,1),(247,1),(254,1),(290,1)}
       159:{2,3,6}:{(125,1),(126,1),(129,1),(190,1),(192,1),(216,1),(310,1)}
       160:{2,5}:{(126,1),(127,1)}
       161:{1,4,5}:{(127,1),(128,1),(150,1),(193,1),(195,1),(247,1)}
       162:{3,4,5}:{(128,1),(132,1),(151,1),(249,1),(267,1)}
       163:{1,3,5}:{(129,1),(130,1),(192,1),(195,1)}
       164:{1,2,4,5}:{(130,1),(131,1),(133,1),(193,1),(195,1),(196,1),(197,1),(251,1),(252,1),(289,1),(309,1)}
       165:{1,3,5}:{(131,1),(132,1),(134,1),(197,1)}
       166:{1,3,6}:{(133,1),(135,1),(196,1),(198,1),(216,1)}
       167:{2,4,6}:{(134,1),(136,1),(155,1),(197,1),(198,1),(199,1),(252,1)}
       168:{2,3,7}:{(135,1),(136,1),(198,1),(200,1),(296,1)}
       169:{1,4,7}:{(136,1),(156,1),(199,1),(200,1)}
       170:{1,2,6,7}:{(137,1),(146,1),(201,1),(202,1),(210,1),(311,1)}
       171:{2,3,6,7}:{(137,1),(140,1),(148,1),(201,1),(203,1),(204,1),(295,1),(311,1)}
       172:{2,5,7}:{(137,1),(138,1),(149,1),(205,1),(296,1)}
       173:{1,4,7}:{(138,1),(139,1),(150,1),(205,1)}
       174:{3,4,7}:{(139,1),(143,1),(151,1)}
       175:{1,3,4,6,7}:{(140,1),(152,1),(203,1),(207,1),(208,1),(260,1),(263,1),(295,1)}
       176:{1,3,5,7}:{(140,1),(141,1),(153,1),(204,1),(208,1),(294,1),(312,1)}
       177:{1,3,5,7}:{(142,1),(143,1),(144,1),(154,1),(206,1),(209,1)}
       178:{2,6,7}:{(144,1),(155,1),(209,1),(210,1),(311,1)}
       179:{1,4,7}:{(145,1),(147,1),(211,1),(247,1)}
       180:{1,3,6}:{(145,1),(146,1),(148,1),(211,1)}
       181:{1,2,5,6}:{(146,1),(149,1),(191,1),(202,1),(212,1),(213,1),(219,1),(297,1),(311,1)}
       182:{2,4,6}:{(147,1),(148,1),(152,1),(211,1),(214,1)}
       183:{2,3,5,6}:{(148,1),(149,1),(153,1),(192,1),(204,1),(212,1),(214,1),(215,1),(216,1),(258,1),(266,1),(267,1),(295,1),(297,1),(311,1)}
       184:{2,4,6}:{(149,1),(150,1),(193,1),(205,1),(216,1)}
       185:{1,3,4,6}:{(150,1),(151,1),(154,1),(194,1),(206,1),(216,1),(217,1),(268,1)}
       186:{1,3,5}:{(152,1),(214,1),(218,1),(267,1)}
       187:{1,4,6}:{(153,1),(195,1),(208,1),(215,1),(218,1)}
       188:{2,5,6}:{(154,1),(155,1),(197,1),(209,1),(217,1),(219,1),(297,1),(311,1)}
       189:{1,6}:{(155,1),(156,1)}
       190:{1,3,6}:{(157,1),(158,1),(159,1),(220,1),(303,1)}
       191:{1,2,5}:{(158,1),(160,1),(220,1),(227,1),(240,1)}
       192:{2,3,5}:{(159,1),(160,1),(163,1),(220,1),(222,1),(223,1)}
       193:{2,4,5}:{(160,1),(161,1),(184,1),(222,1),(223,1)}
       194:{1,3,4,5}:{(161,1),(162,1),(165,1),(185,1),(223,1),(224,1),(225,1),(269,1),(272,1),(282,1)}
       195:{1,4}:{(163,1),(222,1)}
       196:{1,3,5}:{(164,1),(166,1),(223,1),(225,1),(226,1),(313,1)}
       197:{2,5}:{(165,1),(167,1),(227,1)}
       198:{2,3,6}:{(166,1),(167,1),(168,1),(226,1),(228,1),(285,1)}
       199:{1,4,6}:{(167,1),(169,1),(189,1),(227,1),(228,1),(273,1)}
       200:{1,3,7}:{(168,1),(169,1),(228,1),(229,1)}
       201:{1,3,6,7}:{(170,1),(171,1),(180,1),(230,1),(231,1),(304,1)}
       202:{1,2,5,7}:{(170,1),(172,1),(181,1),(231,1),(232,1),(239,1),(305,1)}
       203:{2,4,6,7}:{(171,1),(175,1),(182,1),(230,1),(233,1),(234,1),(279,1)}
       204:{2,3,5,7}:{(171,1),(172,1),(176,1),(183,1),(231,1),(233,1),(234,1),(235,1),(278,1),(280,1),(305,1)}
       205:{2,4,7}:{(172,1),(173,1),(184,1),(235,1)}
       206:{1,3,4,7}:{(173,1),(174,1),(177,1),(185,1),(235,1),(236,1),(281,1)}
       207:{1,3,5,7}:{(175,1),(186,1),(233,1),(237,1),(238,1),(280,1)}
       208:{1,4,7}:{(176,1),(187,1),(234,1)}
       209:{2,5,7}:{(177,1),(178,1),(188,1),(236,1),(239,1)}
       210:{1,6,7}:{(178,1),(189,1),(239,1),(314,1)}
       211:{1,4,6}:{(179,1),(180,1),(182,1),(240,1)}
       212:{1,3,5,6}:{(180,1),(181,1),(183,1),(220,1),(231,1),(240,1),(241,1),(242,1),(275,1),(282,1),(304,1)}
       213:{1,2,4,6}:{(181,1),(184,1),(221,1),(232,1),(241,1),(242,1),(246,1),(283,1),(285,1)}
       214:{2,5}:{(182,1),(186,1),(240,1)}
       215:{2,4,6}:{(183,1),(187,1),(222,1),(234,1),(241,1),(243,1),(244,1)}
       216:{3,6}:{(184,1),(223,1),(235,1)}
       217:{2,4,6}:{(185,1),(188,1),(224,1),(236,1),(245,1),(246,1),(285,1)}
       218:{1,4,5}:{(186,1),(187,1),(243,1),(308,1)}
       219:{1,5,6}:{(188,1),(189,1),(227,1),(239,1),(246,1),(308,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(247,1)}
       221:{1,2,4,5}:{(191,1),(193,1),(213,1),(247,1),(248,1),(251,1),(264,1),(286,1),(289,1),(290,1),(297,1)}
       222:{2,4}:{(192,1),(195,1),(247,1),(249,1)}
       223:{3,5}:{(193,1),(216,1),(249,1)}
       224:{2,4,5}:{(194,1),(197,1),(217,1),(250,1),(251,1),(252,1),(286,1),(289,1),(297,1)}
       225:{1,3,4}:{(195,1),(196,1),(249,1),(252,1)}
       226:{2,3,5}:{(196,1),(197,1),(198,1),(252,1),(253,1),(289,1),(310,1)}
       227:{1,5}:{(197,1),(199,1)}
       228:{1,3,6}:{(198,1),(199,1),(200,1),(253,1),(254,1)}
       229:{1,2,7}:{(200,1),(254,1),(296,1)}
       230:{1,4,6,7}:{(201,1),(203,1),(211,1),(255,1),(256,1),(291,1)}
       231:{1,3,5,7}:{(201,1),(202,1),(204,1),(212,1),(255,1),(256,1),(257,1)}
       232:{1,2,4,7}:{(202,1),(205,1),(213,1),(256,1),(257,1),(262,1),(293,1),(296,1)}
       233:{2,5,7}:{(203,1),(207,1),(214,1),(255,1),(258,1)}
       234:{2,4,7}:{(204,1),(208,1),(215,1),(256,1),(260,1)}
       235:{3,7}:{(205,1),(216,1)}
       236:{2,4,7}:{(206,1),(209,1),(217,1),(261,1),(262,1),(296,1)}
       237:{1,3,5,6}:{(207,1),(258,1),(263,1),(295,1)}
       238:{1,4,5,7}:{(207,1),(208,1),(218,1),(259,1),(263,1),(312,1)}
       239:{1,5,7}:{(209,1),(210,1),(219,1),(262,1)}
       240:{1,5}:{(211,1),(214,1)}
       241:{1,4,6}:{(212,1),(215,1),(247,1),(256,1),(264,1)}
       242:{1,3,6}:{(213,1),(216,1),(248,1),(257,1),(266,1)}
       243:{2,4,5}:{(214,1),(215,1),(218,1),(264,1),(267,1),(297,1)}
       244:{3,4,6}:{(215,1),(216,1),(249,1),(260,1),(267,1),(295,1)}
       245:{2,3,6}:{(216,1),(217,1),(250,1),(261,1),(268,1)}
       246:{1,4,6}:{(217,1),(219,1),(251,1),(262,1),(268,1)}
       247:{1,4}:{(220,1),(222,1)}
       248:{1,3,5}:{(221,1),(223,1),(242,1),(269,1),(270,1),(303,1)}
       249:{3,4}:{(222,1),(223,1)}
       250:{2,3,5}:{(223,1),(224,1),(245,1),(271,1),(272,1)}
       251:{1,4,5}:{(224,1),(227,1),(246,1),(272,1),(273,1),(300,1),(308,1)}
       252:{2,4}:{(225,1),(226,1),(273,1)}
       253:{1,3,5}:{(226,1),(227,1),(228,1),(273,1),(274,1),(303,1)}
       254:{1,2,6}:{(228,1),(229,1),(274,1),(285,1)}
       255:{1,5,7}:{(230,1),(233,1),(240,1),(275,1)}
       256:{1,4,7}:{(231,1),(234,1),(241,1)}
       257:{1,3,7}:{(232,1),(235,1),(242,1),(278,1)}
       258:{2,5,6}:{(233,1),(237,1),(275,1),(279,1)}
       259:{2,4,5,7}:{(233,1),(234,1),(238,1),(243,1),(276,1),(279,1),(280,1),(305,1)}
       260:{3,4,7}:{(234,1),(235,1),(244,1),(280,1)}
       261:{2,3,7}:{(235,1),(236,1),(245,1),(281,1)}
       262:{1,4,7}:{(236,1),(239,1),(246,1),(281,1)}
       263:{1,4,6}:{(237,1),(238,1),(279,1),(314,1)}
       264:{1,4,5}:{(240,1),(241,1),(243,1),(282,1)}
       265:{1,3,4,6}:{(241,1),(242,1),(244,1),(269,1),(277,1),(282,1),(283,1),(304,1)}
       266:{2,3,6}:{(242,1),(270,1),(278,1),(283,1),(284,1),(285,1)}
       267:{3,5}:{(243,1),(244,1)}
       268:{1,3,6}:{(245,1),(246,1),(272,1),(281,1),(285,1)}
       269:{1,3,4}:{(247,1),(248,1),(249,1),(286,1)}
       270:{2,3,5}:{(248,1),(266,1),(286,1),(287,1),(289,1),(297,1),(310,1)}
       271:{2,3,4}:{(249,1),(250,1),(252,1),(286,1),(288,1),(310,1)}
       272:{1,3,5}:{(250,1),(251,1),(268,1),(288,1),(289,1)}
       273:{1,4}:{(252,1),(253,1)}
       274:{1,2,5}:{(253,1),(254,1),(289,1),(290,1)}
       275:{1,5,6}:{(255,1),(258,1),(291,1)}
       276:{1,4,5,7}:{(255,1),(256,1),(259,1),(264,1),(291,1),(292,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(260,1),(265,1),(292,1),(293,1)}
       278:{2,3,7}:{(257,1),(266,1),(293,1),(294,1),(296,1)}
       279:{2,4,6}:{(258,1),(259,1),(263,1),(291,1),(295,1),(311,1)}
       280:{3,5,7}:{(259,1),(260,1),(267,1),(295,1)}
       281:{1,3,7}:{(261,1),(262,1),(268,1),(296,1)}
       282:{1,3,5}:{(264,1),(265,1),(267,1),(297,1)}
       283:{2,4,6}:{(265,1),(266,1),(286,1),(293,1),(297,1),(298,1),(311,1)}
       284:{1,3,6}:{(266,1),(287,1),(294,1),(298,1),(299,1)}
       285:{2,6}:{(268,1),(289,1),(296,1)}
       286:{2,4}:{(269,1),(270,1),(300,1)}
       287:{1,3,5}:{(270,1),(284,1),(300,1),(301,1),(308,1),(313,1)}
       288:{1,3,4}:{(271,1),(272,1),(273,1),(300,1),(302,1),(303,1),(313,1)}
       289:{2,5}:{(272,1),(285,1),(302,1)}
       290:{1,2,4}:{(273,1),(274,1),(302,1),(303,1)}
       291:{1,4,6}:{(275,1),(276,1),(279,1),(304,1)}
       292:{1,3,5,7}:{(276,1),(277,1),(280,1),(282,1),(304,1),(305,1)}
       293:{2,4,7}:{(277,1),(278,1),(283,1),(305,1),(306,1)}
       294:{1,3,7}:{(278,1),(284,1),(306,1),(307,1)}
       295:{3,6}:{(279,1),(280,1)}
       296:{2,7}:{(281,1),(285,1)}
       297:{2,5}:{(282,1),(283,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(300,1),(306,1),(308,1),(314,1)}
       299:{1,2,6}:{(284,1),(285,1),(301,1),(307,1)}
       300:{1,4}:{(286,1),(287,1)}
       301:{1,2,5}:{(287,1),(289,1),(299,1),(309,1)}
       302:{2,4}:{(288,1),(289,1),(310,1)}
       303:{1,3}:{(290,1),(310,1)}
       304:{1,3,6}:{(291,1),(292,1),(295,1),(311,1)}
       305:{2,5,7}:{(292,1),(293,1),(297,1),(311,1),(312,1)}
       306:{1,4,7}:{(293,1),(294,1),(298,1),(312,1)}
       307:{1,2,7}:{(294,1),(296,1),(299,1)}
       308:{1,5}:{(297,1),(298,1)}
       309:{1,2,4}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1),(314,1)}
       312:{1,5,7}:{(305,1),(306,1),(308,1),(314,1)}
       313:{1,3}:{(309,1),(310,1)}
       314:{1,6}:{(311,1),(312,1)}

1135 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1136 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1137 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1138 :   0:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(19,1),(22,1),(59,1),(72,1),(73,1),(76,1),(120,1),(148,1),(201,1),(210,1),(212,1),(260,1),(275,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(7,1),(26,1),(32,1),(35,1),(42,1),(83,1),(107,1),(161,1),(174,1),(175,1),(177,1),(178,1),(188,1),(232,1),(241,1),(243,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(42,1),(162,1),(188,1),(233,1),(241,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(36,1),(41,1),(48,1),(95,1),(179,1),(186,1),(292,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(49,1),(52,1),(59,1),(70,1),(122,1),(123,1),(126,1),(150,1),(199,1),(210,1),(212,1),(222,1),(297,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(16,1),(17,1),(19,1),(49,1),(59,1),(64,1),(72,1),(122,1),(133,1),(136,1),(210,1),(212,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(60,1),(138,1),(139,1),(146,1),(197,1),(214,1),(220,1),(258,1)}
         7:{1,3,4,7}:{(2,1),(19,1),(20,1),(76,1),(155,1),(260,1),(267,1)}
         8:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(63,1),(68,1),(76,1),(134,1),(212,1)}
         9:{2,3,5,7}:{(2,1),(19,1),(23,1),(24,1),(59,1),(72,1),(130,1),(209,1)}
        10:{1,3,6}:{(2,1),(3,1),(24,1),(214,1),(220,1)}
        11:{1,2,5,6}:{(3,1),(22,1),(25,1),(66,1),(72,1),(137,1),(145,1),(201,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(26,1),(28,1),(29,1),(83,1),(108,1),(189,1),(232,1),(241,1),(243,1)}
        13:{1,2,4,6}:{(4,1),(29,1),(30,1),(36,1),(82,1),(89,1),(95,1),(179,1),(230,1),(306,1)}
        14:{2,3,5,7}:{(5,1),(31,1),(32,1),(33,1),(92,1),(188,1),(232,1),(241,1),(243,1),(250,1),(281,1)}
        15:{1,3,4,6,7}:{(6,1),(34,1),(35,1),(93,1),(99,1),(177,1),(178,1),(182,1),(243,1)}
        16:{1,4,5,7}:{(5,1),(32,1),(36,1),(40,1),(81,1),(100,1),(110,1),(164,1),(174,1),(177,1)}
        17:{2,4,6}:{(5,1),(6,1),(33,1),(36,1),(37,1),(95,1)}
        18:{1,3,5,6}:{(6,1),(35,1),(37,1),(38,1),(42,1),(83,1),(103,1)}
        19:{2,4,7}:{(7,1),(9,1),(40,1),(41,1),(240,1)}
        20:{1,3,4,6}:{(7,1),(10,1),(41,1),(42,1),(48,1),(117,1)}
        21:{1,3,6,7}:{(8,1),(10,1),(43,1),(44,1),(243,1),(292,1)}
        22:{1,2,5,7}:{(8,1),(11,1),(44,1),(100,1),(106,1),(176,1),(295,1)}
        23:{1,3,5,7}:{(9,1),(40,1),(45,1),(46,1),(108,1),(110,1),(189,1)}
        24:{2,3,6}:{(9,1),(10,1),(41,1),(46,1),(95,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(42,1),(44,1),(47,1),(48,1),(233,1),(253,1),(256,1),(292,1)}
        26:{1,3,4,7}:{(12,1),(49,1),(50,1),(126,1),(206,1),(222,1),(267,1)}
        27:{1,2,4,6,7}:{(13,1),(51,1),(52,1),(63,1),(118,1),(126,1),(134,1),(212,1)}
        28:{2,3,5,7}:{(12,1),(49,1),(53,1),(54,1),(59,1),(122,1),(130,1),(209,1)}
        29:{1,3,6}:{(12,1),(13,1),(54,1),(214,1),(258,1)}
        30:{1,2,5,6}:{(13,1),(52,1),(55,1),(66,1),(122,1),(137,1),(150,1),(196,1),(301,1)}
        31:{2,3,4,7}:{(14,1),(19,1),(49,1),(56,1),(57,1),(130,1),(136,1),(155,1),(206,1),(226,1),(264,1),(267,1),(270,1)}
        32:{1,3,5,7}:{(14,1),(16,1),(56,1),(59,1),(60,1),(132,1),(275,1),(297,1)}
        33:{2,3,6}:{(14,1),(17,1),(60,1),(214,1),(220,1),(258,1),(274,1),(296,1)}
        34:{2,4,6,7}:{(15,1),(17,1),(58,1),(63,1),(64,1),(134,1),(136,1),(212,1)}
        35:{1,3,5,7}:{(15,1),(18,1),(64,1),(65,1),(143,1)}
        36:{1,4,6}:{(16,1),(17,1),(60,1),(66,1)}
        37:{2,5,6}:{(17,1),(18,1),(64,1),(66,1),(72,1),(122,1)}
        38:{1,4,5,6}:{(18,1),(65,1),(67,1),(73,1),(123,1),(138,1),(146,1),(197,1),(218,1)}
        39:{1,3,4,6,7}:{(20,1),(21,1),(68,1),(69,1),(76,1),(146,1),(155,1),(220,1)}
        40:{1,4,7}:{(19,1),(23,1),(71,1),(222,1)}
        41:{2,4,6}:{(19,1),(20,1),(24,1),(71,1),(72,1)}
        42:{1,3,5}:{(20,1),(72,1),(73,1),(152,1)}
        43:{2,3,6,7}:{(21,1),(24,1),(68,1),(74,1),(75,1),(134,1),(220,1),(274,1)}
        44:{1,3,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(275,1),(278,1)}
        45:{1,2,5,7}:{(23,1),(59,1),(70,1),(77,1),(150,1),(297,1)}
        46:{1,3,6}:{(23,1),(24,1),(71,1),(77,1)}
        47:{2,3,5,6}:{(24,1),(25,1),(72,1),(75,1),(78,1),(79,1),(137,1),(145,1),(152,1),(209,1),(214,1),(220,1),(224,1),(227,1),(274,1)}
        48:{1,4,6}:{(25,1),(73,1),(76,1),(79,1),(260,1)}
        49:{2,4,7}:{(26,1),(28,1),(81,1),(82,1),(240,1)}
        50:{1,3,4,6}:{(26,1),(29,1),(82,1),(83,1),(89,1),(171,1)}
        51:{1,3,6,7}:{(27,1),(29,1),(84,1),(85,1),(243,1),(306,1)}
        52:{1,2,5,7}:{(27,1),(30,1),(85,1),(100,1),(160,1),(176,1),(309,1)}
        53:{1,3,5,7}:{(28,1),(81,1),(86,1),(87,1),(162,1),(164,1),(233,1)}
        54:{2,3,6}:{(28,1),(29,1),(82,1),(87,1),(95,1)}
        55:{1,3,5,6}:{(29,1),(30,1),(83,1),(85,1),(88,1),(89,1),(189,1),(284,1),(287,1),(306,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(40,1),(81,1),(90,1),(91,1),(108,1),(162,1),(177,1),(243,1),(255,1),(286,1),(290,1)}
        57:{2,3,4,6}:{(31,1),(33,1),(41,1),(82,1),(91,1),(92,1),(97,1),(117,1),(171,1),(172,1),(195,1),(239,1),(240,1),(245,1),(288,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(93,1),(94,1),(182,1),(243,1),(247,1)}
        59:{2,5,7}:{(32,1),(90,1),(95,1),(173,1)}
        60:{1,3,6}:{(32,1),(33,1),(36,1),(95,1),(292,1),(306,1)}
        61:{2,3,5,6}:{(33,1),(37,1),(92,1),(94,1),(96,1),(97,1),(103,1),(184,1),(245,1)}
        62:{1,3,5,6,7}:{(35,1),(98,1),(99,1),(104,1),(158,1),(182,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(93,1),(100,1),(177,1)}
        64:{2,5,7}:{(34,1),(35,1),(37,1),(100,1)}
        65:{1,4,5,7}:{(35,1),(38,1),(99,1),(101,1),(177,1),(248,1)}
        66:{1,5,6}:{(36,1),(37,1),(100,1),(110,1),(164,1)}
        67:{2,4,5,6}:{(37,1),(38,1),(97,1),(101,1),(102,1),(103,1),(111,1),(165,1),(179,1),(184,1),(186,1),(230,1)}
        68:{2,4,6,7}:{(39,1),(41,1),(43,1),(105,1),(106,1),(114,1),(186,1)}
        69:{1,3,5,7}:{(39,1),(42,1),(104,1),(106,1),(107,1),(188,1)}
        70:{1,2,4,7}:{(40,1),(45,1),(90,1),(108,1),(109,1),(286,1),(309,1)}
        71:{1,4,6}:{(40,1),(41,1),(46,1),(110,1)}
        72:{2,5}:{(41,1),(42,1),(110,1)}
        73:{1,4,5}:{(42,1),(48,1),(111,1),(253,1)}
        74:{1,3,6,7}:{(43,1),(46,1),(105,1),(112,1),(113,1),(249,1)}
        75:{2,3,5,7}:{(43,1),(44,1),(47,1),(106,1),(113,1),(114,1),(176,1),(188,1),(243,1),(250,1),(254,1)}
        76:{1,4,7}:{(44,1),(48,1),(114,1)}
        77:{1,2,6}:{(45,1),(46,1),(95,1),(306,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(110,1),(113,1),(115,1),(116,1),(185,1),(189,1),(191,1),(194,1),(249,1)}
        79:{2,4,6}:{(47,1),(48,1),(111,1),(114,1),(116,1),(117,1),(240,1)}
        80:{1,3,4,6,7}:{(50,1),(51,1),(118,1),(119,1),(126,1),(197,1),(206,1),(258,1)}
        81:{1,4,7}:{(49,1),(53,1),(121,1),(260,1)}
        82:{2,4,6}:{(49,1),(50,1),(54,1),(121,1),(122,1)}
        83:{1,3,5}:{(50,1),(122,1),(123,1),(203,1)}
        84:{2,3,6,7}:{(51,1),(54,1),(118,1),(124,1),(125,1),(134,1),(258,1),(296,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(55,1),(125,1),(126,1),(297,1),(300,1)}
        86:{1,2,5,7}:{(53,1),(59,1),(120,1),(127,1),(201,1),(275,1)}
        87:{1,3,6}:{(53,1),(54,1),(121,1),(127,1)}
        88:{2,3,5,6}:{(54,1),(55,1),(122,1),(125,1),(128,1),(129,1),(137,1),(196,1),(203,1),(209,1),(214,1),(258,1),(262,1),(265,1),(296,1)}
        89:{1,4,6}:{(55,1),(123,1),(126,1),(129,1),(222,1)}
        90:{2,4,7}:{(56,1),(59,1),(130,1),(131,1),(304,1)}
        91:{1,3,4,6}:{(56,1),(57,1),(60,1),(71,1),(121,1),(131,1),(132,1),(138,1),(149,1),(200,1),(214,1),(222,1),(228,1),(260,1),(266,1),(267,1),(272,1),(302,1)}
        92:{2,3,5}:{(57,1),(72,1),(122,1),(132,1),(133,1),(152,1),(203,1),(224,1),(262,1)}
        93:{1,3,6,7}:{(58,1),(60,1),(63,1),(134,1),(135,1),(273,1)}
        94:{2,3,5,7}:{(58,1),(61,1),(64,1),(135,1),(136,1),(143,1),(217,1),(270,1)}
        95:{2,6}:{(59,1),(60,1)}
        96:{1,3,5,6}:{(60,1),(61,1),(66,1),(132,1),(135,1),(137,1),(138,1),(214,1),(218,1),(272,1)}
        97:{2,4,6}:{(61,1),(133,1),(136,1),(138,1),(139,1)}
        98:{2,5,6,7}:{(62,1),(64,1),(140,1),(141,1),(145,1),(196,1)}
        99:{1,4,6,7}:{(62,1),(65,1),(141,1),(146,1),(197,1),(273,1)}
       100:{1,5,7}:{(63,1),(64,1),(66,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(67,1),(136,1),(141,1),(142,1),(143,1),(212,1),(217,1)}
       102:{1,4,5,6}:{(66,1),(67,1),(138,1),(142,1),(144,1),(151,1),(202,1),(219,1),(257,1)}
       103:{3,5,6}:{(67,1),(139,1),(143,1),(152,1),(203,1),(214,1),(220,1),(258,1)}
       104:{1,3,5,6}:{(69,1),(145,1),(146,1),(220,1)}
       105:{1,4,6,7}:{(68,1),(71,1),(74,1),(147,1),(154,1),(219,1)}
       106:{2,5,7}:{(68,1),(69,1),(72,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(69,1),(73,1),(76,1),(146,1),(148,1),(275,1)}
       108:{1,3,7}:{(70,1),(130,1),(149,1)}
       109:{1,2,4,6}:{(70,1),(71,1),(77,1),(131,1),(149,1),(150,1),(222,1),(266,1),(301,1),(312,1)}
       110:{1,5}:{(71,1),(72,1)}
       111:{2,4,5}:{(72,1),(73,1),(79,1),(151,1),(152,1),(224,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(134,1),(153,1),(273,1),(274,1)}
       113:{1,3,5,7}:{(74,1),(75,1),(78,1),(147,1),(153,1),(154,1),(225,1)}
       114:{2,4,7}:{(75,1),(76,1),(79,1),(154,1),(155,1)}
       115:{1,2,5,6}:{(77,1),(78,1),(137,1),(150,1),(153,1),(156,1),(218,1),(224,1),(274,1)}
       116:{1,4,6}:{(78,1),(79,1),(151,1),(154,1),(222,1)}
       117:{3,4,6}:{(79,1),(152,1),(155,1),(214,1),(220,1),(267,1)}
       118:{2,4,6,7}:{(80,1),(82,1),(84,1),(159,1),(160,1),(168,1),(230,1)}
       119:{1,3,5,7}:{(80,1),(83,1),(158,1),(160,1),(161,1),(232,1)}
       120:{1,2,4,7}:{(81,1),(86,1),(90,1),(162,1),(163,1),(255,1),(295,1)}
       121:{1,4,6}:{(81,1),(82,1),(87,1),(164,1)}
       122:{2,5}:{(82,1),(83,1),(164,1)}
       123:{1,4,5}:{(83,1),(89,1),(165,1),(284,1)}
       124:{1,3,6,7}:{(84,1),(87,1),(159,1),(166,1),(167,1),(280,1)}
       125:{2,3,5,7}:{(84,1),(85,1),(88,1),(160,1),(167,1),(168,1),(176,1),(232,1),(243,1),(281,1),(285,1)}
       126:{1,4,7}:{(85,1),(89,1),(168,1)}
       127:{1,2,6}:{(86,1),(87,1),(95,1),(292,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(164,1),(167,1),(169,1),(170,1),(229,1),(233,1),(235,1),(238,1),(280,1)}
       129:{2,4,6}:{(88,1),(89,1),(165,1),(168,1),(170,1),(171,1),(240,1)}
       130:{2,3,7}:{(90,1),(108,1),(162,1),(172,1),(243,1)}
       131:{2,4,6}:{(90,1),(91,1),(95,1),(172,1),(173,1),(240,1),(291,1),(310,1)}
       132:{1,3,5}:{(91,1),(92,1),(110,1),(164,1),(173,1),(174,1),(241,1),(253,1),(284,1)}
       133:{2,4,5}:{(92,1),(97,1),(174,1),(175,1),(240,1)}
       134:{2,6,7}:{(93,1),(95,1),(176,1)}
       135:{1,3,5,7}:{(93,1),(94,1),(96,1),(100,1),(176,1),(177,1),(243,1),(248,1),(290,1)}
       136:{2,4,7}:{(94,1),(97,1),(177,1),(178,1)}
       137:{2,5,6}:{(95,1),(96,1),(173,1),(176,1),(179,1),(291,1)}
       138:{1,4,6}:{(96,1),(97,1),(174,1),(177,1),(179,1)}
       139:{3,4,6}:{(97,1),(103,1),(175,1),(178,1)}
       140:{1,5,6,7}:{(98,1),(100,1),(181,1),(185,1),(229,1)}
       141:{2,4,6,7}:{(98,1),(99,1),(101,1),(181,1),(182,1),(186,1),(230,1),(247,1)}
       142:{1,4,5,7}:{(100,1),(101,1),(102,1),(177,1),(181,1),(183,1)}
       143:{3,5,7}:{(101,1),(103,1),(178,1),(182,1),(243,1)}
       144:{1,3,5,6}:{(102,1),(103,1),(180,1),(183,1),(184,1),(191,1),(235,1),(249,1),(280,1)}
       145:{2,5,6}:{(104,1),(106,1),(185,1),(186,1)}
       146:{1,4,6}:{(104,1),(107,1),(186,1),(292,1)}
       147:{1,5,7}:{(105,1),(106,1),(110,1),(185,1)}
       148:{2,4,5,7}:{(106,1),(107,1),(111,1),(114,1),(186,1),(187,1),(188,1),(250,1)}
       149:{1,3,6}:{(108,1),(109,1),(172,1),(189,1),(314,1)}
       150:{1,2,5}:{(109,1),(110,1),(173,1),(189,1),(284,1)}
       151:{1,4,5}:{(110,1),(111,1),(116,1),(191,1)}
       152:{3,5}:{(111,1),(117,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(115,1),(176,1),(192,1),(248,1),(250,1)}
       154:{1,4,7}:{(113,1),(114,1),(116,1)}
       155:{3,4,7}:{(114,1),(117,1),(188,1),(243,1)}
       156:{1,2,4,6}:{(115,1),(116,1),(179,1),(190,1),(192,1),(194,1),(195,1),(246,1),(291,1)}
       157:{1,3,4,6}:{(116,1),(117,1),(191,1),(193,1),(194,1),(195,1),(249,1),(251,1)}
       158:{1,3,5,6}:{(119,1),(196,1),(197,1),(258,1)}
       159:{1,4,6,7}:{(118,1),(121,1),(124,1),(198,1),(205,1),(257,1)}
       160:{2,5,7}:{(118,1),(119,1),(122,1),(196,1),(198,1)}
       161:{1,4,5,7}:{(119,1),(123,1),(126,1),(197,1),(199,1),(297,1)}
       162:{1,3,7}:{(120,1),(130,1),(200,1)}
       163:{1,2,4,6}:{(120,1),(121,1),(127,1),(131,1),(200,1),(201,1),(228,1),(260,1),(279,1),(305,1)}
       164:{1,5}:{(121,1),(122,1)}
       165:{2,4,5}:{(122,1),(123,1),(129,1),(202,1),(203,1),(262,1)}
       166:{1,2,6,7}:{(124,1),(127,1),(134,1),(204,1),(273,1),(296,1)}
       167:{1,3,5,7}:{(124,1),(125,1),(128,1),(198,1),(204,1),(205,1),(263,1)}
       168:{2,4,7}:{(125,1),(126,1),(129,1),(205,1),(206,1)}
       169:{1,2,5,6}:{(127,1),(128,1),(137,1),(201,1),(204,1),(207,1),(218,1),(262,1),(296,1)}
       170:{1,4,6}:{(128,1),(129,1),(202,1),(205,1),(260,1)}
       171:{3,4,6}:{(129,1),(203,1),(206,1),(214,1),(258,1),(267,1)}
       172:{2,3,6}:{(130,1),(131,1),(149,1),(200,1),(209,1),(214,1),(313,1)}
       173:{2,5}:{(131,1),(132,1)}
       174:{1,4,5}:{(132,1),(133,1),(138,1),(210,1),(222,1),(260,1)}
       175:{3,4,5}:{(133,1),(139,1),(152,1),(203,1),(267,1)}
       176:{2,5,7}:{(134,1),(135,1),(137,1),(212,1),(304,1)}
       177:{1,4,7}:{(135,1),(136,1),(138,1),(212,1)}
       178:{3,4,7}:{(136,1),(139,1),(143,1)}
       179:{2,4,6}:{(137,1),(138,1),(210,1),(212,1),(214,1)}
       180:{1,3,4,6}:{(138,1),(139,1),(144,1),(211,1),(213,1),(214,1),(215,1),(272,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(142,1),(216,1),(219,1),(257,1)}
       182:{3,6,7}:{(141,1),(143,1),(220,1),(258,1)}
       183:{1,3,5,7}:{(142,1),(143,1),(144,1),(213,1),(216,1),(217,1)}
       184:{2,5,6}:{(144,1),(215,1),(217,1),(218,1),(224,1),(262,1),(274,1),(296,1)}
       185:{1,5,6}:{(145,1),(147,1),(219,1)}
       186:{2,4,6}:{(145,1),(146,1),(148,1),(219,1),(220,1),(274,1)}
       187:{1,4,5,7}:{(147,1),(148,1),(151,1),(154,1),(219,1),(221,1)}
       188:{3,5,7}:{(148,1),(152,1),(155,1),(220,1)}
       189:{1,3,5}:{(149,1),(150,1),(209,1),(222,1)}
       190:{1,2,4,5}:{(150,1),(151,1),(156,1),(210,1),(222,1),(223,1),(224,1),(269,1),(276,1),(303,1),(312,1)}
       191:{1,3,5}:{(151,1),(152,1),(157,1),(224,1)}
       192:{1,2,4,7}:{(153,1),(154,1),(156,1),(212,1),(225,1),(226,1),(271,1),(304,1)}
       193:{1,3,4,7}:{(154,1),(155,1),(157,1),(221,1),(225,1),(226,1)}
       194:{1,3,6}:{(156,1),(214,1),(223,1),(225,1),(227,1)}
       195:{2,4,6}:{(157,1),(224,1),(226,1),(227,1),(228,1),(274,1),(276,1)}
       196:{2,5,6}:{(158,1),(160,1),(229,1),(230,1)}
       197:{1,4,6}:{(158,1),(161,1),(230,1),(306,1)}
       198:{1,5,7}:{(159,1),(160,1),(164,1),(229,1)}
       199:{2,4,5,7}:{(160,1),(161,1),(165,1),(168,1),(230,1),(231,1),(232,1),(281,1)}
       200:{1,3,6}:{(162,1),(163,1),(172,1),(233,1),(311,1)}
       201:{1,2,5}:{(163,1),(164,1),(173,1),(233,1),(253,1)}
       202:{1,4,5}:{(164,1),(165,1),(170,1),(235,1)}
       203:{3,5}:{(165,1),(171,1)}
       204:{1,2,5,7}:{(166,1),(167,1),(169,1),(176,1),(236,1),(248,1),(281,1)}
       205:{1,4,7}:{(167,1),(168,1),(170,1)}
       206:{3,4,7}:{(168,1),(171,1),(232,1),(243,1)}
       207:{1,2,4,6}:{(169,1),(170,1),(179,1),(234,1),(236,1),(238,1),(239,1),(246,1),(291,1)}
       208:{1,3,4,6}:{(170,1),(171,1),(235,1),(237,1),(238,1),(239,1),(280,1),(282,1)}
       209:{2,3,5}:{(172,1),(173,1),(189,1),(233,1),(240,1),(241,1)}
       210:{2,4,5}:{(173,1),(174,1),(179,1),(240,1),(241,1)}
       211:{1,3,4,5}:{(174,1),(175,1),(180,1),(191,1),(235,1),(241,1),(242,1),(251,1),(282,1),(289,1)}
       212:{2,4,7}:{(176,1),(177,1),(179,1),(243,1)}
       213:{1,3,4,7}:{(177,1),(178,1),(180,1),(183,1),(243,1),(244,1),(290,1)}
       214:{3,6}:{(179,1),(241,1),(243,1)}
       215:{2,4,6}:{(180,1),(184,1),(242,1),(244,1),(245,1),(246,1),(291,1)}
       216:{1,3,6,7}:{(181,1),(182,1),(183,1),(247,1),(249,1),(280,1)}
       217:{2,5,7}:{(183,1),(184,1),(244,1),(247,1),(248,1)}
       218:{1,5,6}:{(184,1),(246,1),(248,1),(253,1),(284,1),(292,1),(306,1)}
       219:{1,4,6}:{(185,1),(186,1),(187,1),(249,1)}
       220:{3,6}:{(186,1),(188,1)}
       221:{1,3,5,7}:{(187,1),(188,1),(191,1),(193,1),(249,1),(250,1)}
       222:{1,4}:{(189,1),(240,1)}
       223:{1,3,5}:{(190,1),(194,1),(241,1),(251,1),(252,1),(314,1)}
       224:{2,5}:{(191,1),(195,1),(253,1)}
       225:{1,3,7}:{(192,1),(194,1),(243,1),(254,1)}
       226:{2,4,7}:{(193,1),(195,1),(250,1),(254,1),(255,1)}
       227:{2,3,6}:{(194,1),(195,1),(252,1),(254,1),(256,1),(291,1)}
       228:{1,4,6}:{(195,1),(253,1),(255,1),(256,1),(292,1),(293,1)}
       229:{1,5,6}:{(196,1),(198,1),(257,1)}
       230:{2,4,6}:{(196,1),(197,1),(199,1),(257,1),(258,1),(296,1)}
       231:{1,4,5,7}:{(198,1),(199,1),(202,1),(205,1),(257,1),(259,1)}
       232:{3,5,7}:{(199,1),(203,1),(206,1),(258,1)}
       233:{1,3,5}:{(200,1),(201,1),(209,1),(260,1)}
       234:{1,2,4,5}:{(201,1),(202,1),(207,1),(210,1),(260,1),(261,1),(262,1),(269,1),(298,1),(303,1),(305,1)}
       235:{1,3,5}:{(202,1),(203,1),(208,1),(262,1)}
       236:{1,2,4,7}:{(204,1),(205,1),(207,1),(212,1),(263,1),(264,1),(271,1),(304,1)}
       237:{1,3,4,7}:{(205,1),(206,1),(208,1),(259,1),(263,1),(264,1)}
       238:{1,3,6}:{(207,1),(214,1),(261,1),(263,1),(265,1)}
       239:{2,4,6}:{(208,1),(262,1),(264,1),(265,1),(266,1),(296,1),(298,1)}
       240:{2,4}:{(209,1),(222,1),(260,1),(267,1)}
       241:{3,5}:{(210,1),(214,1),(267,1)}
       242:{2,4,5}:{(211,1),(215,1),(224,1),(262,1),(268,1),(269,1),(276,1),(298,1),(303,1)}
       243:{3,7}:{(212,1),(214,1)}
       244:{2,4,7}:{(213,1),(215,1),(217,1),(270,1),(271,1),(304,1)}
       245:{2,3,6}:{(214,1),(215,1),(268,1),(270,1),(272,1)}
       246:{1,4,6}:{(215,1),(218,1),(269,1),(271,1),(272,1)}
       247:{2,6,7}:{(216,1),(217,1),(273,1),(274,1),(296,1)}
       248:{1,5,7}:{(217,1),(218,1),(271,1),(273,1)}
       249:{1,3,6}:{(219,1),(220,1),(221,1),(274,1)}
       250:{2,5,7}:{(221,1),(224,1),(226,1),(274,1),(275,1)}
       251:{1,3,4}:{(222,1),(223,1),(267,1),(276,1)}
       252:{2,3,5}:{(223,1),(224,1),(227,1),(276,1),(277,1),(303,1),(313,1)}
       253:{1,5}:{(224,1),(228,1)}
       254:{2,3,7}:{(225,1),(226,1),(227,1),(278,1),(304,1)}
       255:{1,4,7}:{(226,1),(228,1),(275,1),(278,1)}
       256:{1,3,6}:{(227,1),(228,1),(277,1),(278,1),(279,1)}
       257:{1,4,6}:{(229,1),(230,1),(231,1),(280,1)}
       258:{3,6}:{(230,1),(232,1)}
       259:{1,3,5,7}:{(231,1),(232,1),(235,1),(237,1),(280,1),(281,1)}
       260:{1,4}:{(233,1),(240,1)}
       261:{1,3,5}:{(234,1),(238,1),(241,1),(282,1),(283,1),(311,1)}
       262:{2,5}:{(235,1),(239,1),(284,1)}
       263:{1,3,7}:{(236,1),(238,1),(243,1),(285,1)}
       264:{2,4,7}:{(237,1),(239,1),(281,1),(285,1),(286,1)}
       265:{2,3,6}:{(238,1),(239,1),(283,1),(285,1),(287,1),(291,1)}
       266:{1,4,6}:{(239,1),(284,1),(286,1),(287,1),(306,1),(307,1)}
       267:{3,4}:{(240,1),(241,1)}
       268:{2,3,5}:{(241,1),(242,1),(245,1),(288,1),(289,1)}
       269:{1,4,5}:{(242,1),(246,1),(253,1),(284,1),(289,1),(293,1),(307,1)}
       270:{2,3,7}:{(243,1),(244,1),(245,1),(290,1)}
       271:{1,4,7}:{(244,1),(246,1),(248,1),(290,1)}
       272:{1,3,6}:{(245,1),(246,1),(289,1),(290,1),(291,1)}
       273:{1,6,7}:{(247,1),(248,1),(292,1),(306,1)}
       274:{2,6}:{(249,1),(250,1),(292,1)}
       275:{1,5,7}:{(250,1),(253,1),(255,1),(292,1)}
       276:{2,4}:{(251,1),(252,1),(293,1)}
       277:{1,3,5}:{(252,1),(253,1),(256,1),(293,1),(294,1),(311,1)}
       278:{1,3,7}:{(254,1),(255,1),(256,1),(295,1)}
       279:{1,2,6}:{(256,1),(291,1),(294,1),(295,1)}
       280:{1,3,6}:{(257,1),(258,1),(259,1),(296,1)}
       281:{2,5,7}:{(259,1),(262,1),(264,1),(296,1),(297,1)}
       282:{1,3,4}:{(260,1),(261,1),(267,1),(298,1)}
       283:{2,3,5}:{(261,1),(262,1),(265,1),(298,1),(299,1),(303,1),(313,1)}
       284:{1,5}:{(262,1),(266,1)}
       285:{2,3,7}:{(263,1),(264,1),(265,1),(300,1),(304,1)}
       286:{1,4,7}:{(264,1),(266,1),(297,1),(300,1)}
       287:{1,3,6}:{(265,1),(266,1),(299,1),(300,1),(301,1)}
       288:{2,3,4}:{(267,1),(268,1),(276,1),(298,1),(302,1),(313,1)}
       289:{1,3,5}:{(268,1),(269,1),(272,1),(302,1),(303,1)}
       290:{1,3,7}:{(270,1),(271,1),(272,1),(304,1)}
       291:{2,6}:{(272,1),(303,1),(304,1)}
       292:{1,6}:{(274,1),(275,1)}
       293:{1,4}:{(276,1),(277,1)}
       294:{1,2,5}:{(277,1),(279,1),(303,1),(305,1)}
       295:{1,2,7}:{(278,1),(279,1),(304,1)}
       296:{2,6}:{(280,1),(281,1),(306,1)}
       297:{1,5,7}:{(281,1),(284,1),(286,1),(306,1)}
       298:{2,4}:{(282,1),(283,1),(307,1)}
       299:{1,3,5}:{(283,1),(284,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{1,2,6}:{(287,1),(291,1),(308,1),(309,1)}
       302:{1,3,4}:{(288,1),(289,1),(293,1),(307,1),(310,1),(311,1),(314,1)}
       303:{2,5}:{(289,1),(291,1),(310,1)}
       304:{2,7}:{(290,1),(291,1)}
       305:{1,2,4}:{(293,1),(294,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,4}:{(298,1),(299,1)}
       308:{1,2,5}:{(299,1),(301,1),(303,1),(312,1)}
       309:{1,2,7}:{(300,1),(301,1),(304,1)}
       310:{2,4}:{(302,1),(303,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1139 :   0:{1,3,4,5,6}:{(1,1),(2,1),(9,1),(38,1),(100,1),(101,1),(154,1),(164,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(19,1),(55,1),(182,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(20,1),(61,1),(110,1),(111,1),(122,1),(176,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(164,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(12,1),(80,1),(209,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(35,1),(84,1),(150,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(36,1),(87,1),(88,1),(152,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(83,1),(93,1),(221,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(17,1),(18,1),(55,1),(102,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(176,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(22,1),(23,1),(48,1),(55,1),(112,1),(129,1),(132,1),(166,1),(178,1),(182,1),(187,1),(191,1),(224,1),(241,1),(270,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(20,1),(24,1),(113,1),(179,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(57,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(26,1),(65,1),(122,1)}
        15:{1,3,4,5}:{(7,1),(17,1),(27,1),(66,1),(112,1)}
        16:{2,3,4,5,7}:{(7,1),(18,1),(28,1),(29,1),(52,1),(116,1),(126,1),(226,1),(232,1),(233,1),(241,1),(246,1),(271,1),(274,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(15,1),(30,1),(31,1),(73,1),(80,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(84,1),(135,1),(206,1)}
        19:{2,5,6}:{(9,1),(30,1),(35,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(35,1),(36,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(36,1),(152,1)}
        22:{1,3,5,6}:{(11,1),(34,1),(38,1),(39,1),(73,1),(136,1),(164,1),(200,1),(263,1),(286,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(39,1),(40,1),(74,1),(84,1),(139,1),(143,1),(145,1),(150,1),(155,1),(197,1),(202,1),(250,1)}
        24:{1,4,6,7}:{(12,1),(13,1),(36,1),(41,1)}
        25:{2,5,6,7}:{(13,1),(14,1),(41,1),(150,1)}
        26:{1,4,5,6,7}:{(14,1),(42,1),(87,1),(155,1),(156,1)}
        27:{2,4,5}:{(15,1),(30,1),(44,1)}
        28:{1,3,4,5,7}:{(15,1),(16,1),(31,1),(45,1),(46,1),(78,1),(95,1),(145,1),(202,1),(206,1),(218,1),(221,1),(257,1),(268,1),(290,1)}
        29:{2,3,4,6}:{(16,1),(46,1),(47,1),(149,1),(158,1),(217,1),(256,1),(286,1),(289,1)}
        30:{2,4,6}:{(17,1),(19,1),(27,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(20,1),(50,1),(104,1),(113,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(29,1),(51,1),(52,1),(59,1),(117,1),(168,1),(184,1),(185,1),(226,1),(233,1),(237,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(54,1),(166,1),(224,1)}
        34:{2,3,5,6}:{(19,1),(22,1),(49,1),(53,1),(55,1),(56,1),(102,1),(106,1),(166,1),(173,1),(182,1),(224,1)}
        35:{2,5,7}:{(19,1),(20,1),(50,1),(57,1)}
        36:{1,3,6,7}:{(20,1),(21,1),(24,1),(57,1)}
        37:{2,3,5,6,7}:{(21,1),(25,1),(52,1),(58,1),(59,1),(65,1),(124,1),(185,1)}
        38:{1,3,4,6}:{(22,1),(55,1),(60,1),(61,1),(191,1),(194,1),(242,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(56,1),(61,1),(62,1),(104,1),(176,1),(271,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(62,1),(63,1),(117,1),(119,1),(123,1),(178,1),(224,1),(270,1)}
        41:{1,5,6,7}:{(24,1),(25,1),(179,1)}
        42:{2,4,5,6,7}:{(25,1),(26,1),(59,1),(64,1),(65,1),(119,1),(124,1),(183,1)}
        43:{1,2,4,5}:{(27,1),(48,1),(66,1),(112,1),(125,1),(166,1)}
        44:{2,3,5}:{(27,1),(49,1),(66,1),(68,1)}
        45:{2,4,5,7}:{(27,1),(28,1),(50,1),(69,1),(70,1),(109,1),(175,1),(193,1),(277,1),(284,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(70,1),(71,1),(128,1),(178,1),(191,1),(194,1),(302,1)}
        47:{2,3,5,6}:{(29,1),(52,1),(71,1),(72,1),(182,1),(239,1),(278,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(43,1),(73,1),(74,1),(80,1),(134,1)}
        49:{2,3,6}:{(30,1),(44,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(35,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(46,1),(77,1),(78,1),(87,1),(138,1),(146,1),(152,1),(202,1),(206,1),(215,1),(257,1),(261,1)}
        52:{2,3,5,7}:{(32,1),(47,1),(78,1),(79,1),(150,1),(214,1),(260,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(73,1),(80,1),(81,1),(136,1),(200,1),(209,1)}
        54:{1,2,5,7}:{(33,1),(35,1),(74,1),(81,1),(82,1),(197,1)}
        55:{2,4,6}:{(34,1),(38,1),(80,1),(83,1),(84,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(39,1),(76,1),(81,1),(84,1),(85,1),(135,1),(150,1),(197,1)}
        57:{2,6,7}:{(35,1),(36,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(41,1),(78,1),(86,1),(87,1),(152,1),(156,1),(215,1)}
        59:{2,4,6,7}:{(37,1),(79,1),(87,1),(88,1)}
        60:{1,3,4,5}:{(38,1),(83,1),(136,1),(218,1),(221,1),(263,1)}
        61:{1,3,4,7}:{(38,1),(39,1),(84,1),(202,1),(206,1),(251,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(85,1),(152,1),(200,1),(286,1)}
        63:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(91,1),(139,1),(150,1),(209,1),(249,1),(262,1)}
        64:{1,4,5,6,7}:{(41,1),(42,1),(87,1),(92,1),(210,1)}
        65:{3,5,6,7}:{(42,1),(88,1),(152,1),(214,1)}
        66:{1,3,5}:{(43,1),(44,1),(73,1),(93,1),(94,1)}
        67:{1,2,4,5,7}:{(43,1),(45,1),(74,1),(95,1),(96,1),(139,1),(145,1),(157,1),(197,1),(202,1),(216,1),(218,1),(250,1),(290,1),(291,1),(296,1),(309,1)}
        68:{2,3,4}:{(44,1),(94,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(76,1),(95,1),(97,1),(98,1),(162,1),(292,1),(298,1)}
        70:{2,4,6}:{(45,1),(46,1),(98,1),(99,1)}
        71:{1,3,5,6}:{(46,1),(47,1),(78,1),(99,1),(100,1),(164,1),(209,1),(293,1)}
        72:{2,4,5,6}:{(47,1),(79,1),(100,1),(101,1),(217,1)}
        73:{1,3,6}:{(48,1),(49,1),(66,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(54,1),(104,1),(113,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(68,1),(103,1),(106,1),(107,1),(173,1),(242,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(70,1),(108,1),(109,1),(175,1),(240,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(71,1),(109,1),(110,1),(176,1),(179,1),(279,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(72,1),(110,1),(111,1),(226,1)}
        80:{1,4,6}:{(53,1),(55,1),(112,1),(113,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(179,1)}
        82:{1,2,6,7}:{(54,1),(57,1),(114,1),(224,1)}
        83:{2,4,5}:{(55,1),(60,1),(106,1),(112,1),(166,1)}
        84:{2,4,7}:{(55,1),(56,1),(61,1),(113,1)}
        85:{2,3,6,7}:{(56,1),(57,1),(62,1),(114,1),(117,1),(173,1),(224,1)}
        86:{2,5,6,7}:{(57,1),(58,1),(109,1),(119,1),(240,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(110,1),(119,1)}
        88:{3,4,6,7}:{(59,1),(65,1),(111,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(116,1),(121,1),(122,1),(169,1),(228,1),(232,1),(271,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(117,1),(121,1),(122,1),(123,1),(184,1)}
        91:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(122,1),(123,1),(171,1),(227,1),(238,1),(279,1)}
        92:{1,3,5,6,7}:{(64,1),(65,1),(120,1),(124,1),(236,1)}
        93:{2,3,5}:{(66,1),(102,1),(125,1),(166,1)}
        94:{1,3,4}:{(66,1),(68,1),(125,1)}
        95:{1,3,5,7}:{(66,1),(67,1),(69,1),(104,1),(126,1),(127,1),(128,1),(190,1),(271,1),(303,1),(306,1)}
        96:{1,2,4,6}:{(67,1),(70,1),(128,1),(129,1),(178,1),(188,1),(191,1),(224,1),(270,1),(302,1),(313,1)}
        97:{2,3,4,7}:{(68,1),(69,1),(127,1),(130,1),(175,1),(307,1)}
        98:{2,3,6}:{(69,1),(70,1),(128,1)}
        99:{2,5,6}:{(70,1),(71,1),(109,1)}
       100:{1,4,5,6}:{(71,1),(72,1),(110,1),(132,1),(191,1)}
       101:{3,4,5,6}:{(72,1),(111,1),(239,1),(242,1)}
       102:{2,3,6}:{(73,1),(93,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(80,1),(94,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(82,1),(96,1),(138,1),(139,1),(146,1),(198,1),(202,1),(261,1),(262,1),(291,1)}
       106:{2,3,5}:{(75,1),(83,1),(136,1),(263,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(84,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(98,1),(138,1),(142,1),(152,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(99,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(100,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(101,1),(214,1),(251,1)}
       112:{1,4,5}:{(80,1),(83,1),(136,1)}
       113:{1,4,7}:{(80,1),(81,1),(84,1)}
       114:{1,3,6,7}:{(81,1),(82,1),(85,1),(146,1),(200,1)}
       115:{1,2,5,6,7}:{(82,1),(86,1),(139,1),(147,1),(148,1),(156,1),(249,1),(260,1),(293,1)}
       116:{2,4,5,7}:{(83,1),(84,1),(89,1),(140,1),(145,1),(149,1),(150,1),(197,1)}
       117:{2,4,6,7}:{(84,1),(85,1),(90,1),(146,1),(149,1),(150,1)}
       118:{2,3,5,6,7}:{(85,1),(86,1),(91,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(204,1),(212,1),(214,1),(249,1),(260,1),(286,1)}
       119:{2,4,6,7}:{(86,1),(87,1),(143,1),(152,1)}
       120:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(144,1),(152,1),(153,1),(215,1)}
       121:{1,3,4,6}:{(89,1),(149,1),(154,1),(200,1),(252,1),(256,1),(286,1)}
       122:{1,3,5,7}:{(90,1),(150,1),(154,1),(155,1),(214,1)}
       123:{1,4,6,7}:{(91,1),(151,1),(155,1),(202,1),(252,1)}
       124:{2,5,6,7}:{(92,1),(153,1),(156,1),(260,1)}
       125:{2,4}:{(93,1),(94,1)}
       126:{2,3,5,7}:{(93,1),(95,1),(135,1),(157,1),(158,1),(197,1),(216,1),(309,1),(310,1),(311,1)}
       127:{1,3,4,7}:{(94,1),(95,1),(97,1),(157,1),(159,1),(202,1),(251,1),(312,1)}
       128:{1,3,6}:{(95,1),(96,1),(98,1),(158,1),(286,1)}
       129:{1,2,5,6}:{(96,1),(99,1),(139,1),(160,1),(209,1),(216,1),(249,1),(293,1)}
       130:{2,3,4,6}:{(97,1),(98,1),(159,1),(162,1),(163,1)}
       131:{2,3,5,6}:{(98,1),(99,1),(142,1),(160,1),(162,1),(163,1),(164,1)}
       132:{2,4,5,6}:{(99,1),(100,1),(143,1),(163,1),(164,1)}
       133:{1,3,4,5,6}:{(100,1),(101,1),(144,1),(164,1),(165,1),(219,1),(223,1),(259,1)}
       134:{2,4,6}:{(102,1),(103,1),(125,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(112,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(113,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(128,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(129,1),(171,1),(179,1),(225,1),(279,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(116,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(130,1),(170,1),(173,1),(174,1),(175,1),(184,1),(231,1),(237,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(131,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(132,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(133,1),(176,1),(177,1),(229,1),(234,1),(236,1)}
       145:{1,4,5,7}:{(112,1),(113,1),(116,1),(169,1),(178,1),(179,1)}
       146:{1,4,6,7}:{(113,1),(114,1),(117,1),(178,1),(179,1)}
       147:{1,3,5,6,7}:{(114,1),(115,1),(118,1),(171,1),(179,1),(180,1),(181,1),(227,1),(236,1)}
       148:{1,2,4,6,7}:{(115,1),(119,1),(172,1),(180,1),(181,1),(186,1),(237,1),(240,1),(270,1),(302,1),(313,1)}
       149:{2,4,6}:{(116,1),(121,1),(173,1),(178,1),(182,1),(224,1)}
       150:{2,5,7}:{(117,1),(122,1),(179,1),(182,1)}
       151:{2,4,6,7}:{(118,1),(123,1),(175,1),(180,1),(183,1),(184,1),(226,1),(231,1),(270,1)}
       152:{3,6,7}:{(119,1),(176,1)}
       153:{2,4,6,7}:{(120,1),(124,1),(177,1),(185,1),(186,1),(240,1)}
       154:{1,3,5,6}:{(121,1),(122,1),(182,1),(187,1),(239,1)}
       155:{1,4,5,7}:{(122,1),(123,1),(183,1),(187,1),(279,1)}
       156:{1,5,6,7}:{(124,1),(186,1),(279,1)}
       157:{2,4,7}:{(125,1),(126,1),(127,1),(188,1),(314,1)}
       158:{2,3,6}:{(126,1),(128,1),(188,1),(224,1),(313,1)}
       159:{1,3,4,6}:{(127,1),(128,1),(130,1),(188,1),(190,1),(191,1),(242,1)}
       160:{1,3,5,6}:{(128,1),(129,1),(131,1),(171,1),(189,1),(190,1),(191,1)}
       161:{1,2,4,5,6}:{(129,1),(132,1),(172,1),(191,1),(192,1),(196,1),(235,1),(241,1),(244,1),(248,1),(270,1),(278,1),(282,1),(283,1),(302,1),(304,1),(313,1)}
       162:{2,3,5}:{(130,1),(190,1),(193,1)}
       163:{2,4,6}:{(131,1),(175,1),(191,1),(193,1),(194,1)}
       164:{3,5,6}:{(132,1),(176,1),(194,1)}
       165:{2,4,5,6}:{(133,1),(177,1),(195,1),(196,1),(244,1),(248,1),(278,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(158,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(145,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(146,1),(159,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(261,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(160,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(148,1),(161,1),(202,1),(203,1),(208,1),(210,1),(250,1),(254,1),(258,1),(260,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(149,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(162,1),(201,1),(204,1),(205,1),(214,1),(260,1)}
       175:{2,4,7}:{(142,1),(163,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(164,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(165,1),(207,1),(208,1),(254,1),(258,1),(260,1)}
       178:{1,4,6}:{(145,1),(149,1),(200,1),(209,1)}
       179:{1,5,7}:{(146,1),(150,1),(209,1)}
       180:{1,4,6,7}:{(147,1),(151,1),(202,1),(210,1),(252,1)}
       181:{1,3,6,7}:{(148,1),(152,1),(203,1),(212,1),(286,1),(308,1)}
       182:{2,5,6}:{(149,1),(150,1),(154,1),(209,1)}
       183:{2,4,5,7}:{(150,1),(151,1),(155,1),(210,1),(213,1),(214,1),(260,1)}
       184:{3,4,6,7}:{(151,1),(152,1),(206,1),(214,1),(251,1),(256,1),(286,1)}
       185:{2,3,6,7}:{(152,1),(153,1),(207,1),(215,1)}
       186:{1,4,6,7}:{(153,1),(156,1),(208,1),(215,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(213,1),(252,1),(293,1)}
       188:{2,4,6}:{(157,1),(158,1),(159,1),(216,1)}
       189:{2,3,5,6}:{(158,1),(160,1),(199,1),(216,1),(217,1),(249,1),(263,1),(286,1)}
       190:{1,3,5}:{(159,1),(162,1),(216,1),(218,1),(263,1)}
       191:{1,4,6}:{(160,1),(163,1),(202,1),(217,1),(218,1)}
       192:{1,3,5,6}:{(161,1),(164,1),(203,1),(219,1),(220,1),(263,1),(286,1),(294,1),(297,1),(308,1)}
       193:{2,4,5}:{(162,1),(163,1),(218,1),(221,1)}
       194:{3,4,6}:{(163,1),(164,1),(206,1),(221,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(207,1),(222,1),(223,1)}
       196:{1,4,5,6}:{(165,1),(208,1),(223,1),(266,1),(293,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(188,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(189,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(178,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(179,1),(190,1),(225,1),(227,1),(228,1),(271,1),(279,1)}
       202:{1,4,7}:{(171,1),(175,1),(191,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(181,1),(192,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(182,1),(227,1),(231,1),(239,1),(278,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(193,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(194,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(195,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(196,1),(234,1),(275,1),(279,1)}
       209:{1,5,6}:{(178,1),(179,1),(182,1)}
       210:{1,4,5,7}:{(179,1),(180,1),(183,1),(235,1),(236,1)}
       211:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(229,1),(236,1),(237,1),(273,1)}
       212:{2,3,6,7}:{(181,1),(230,1),(237,1),(238,1),(240,1),(299,1),(313,1)}
       213:{2,4,5,6}:{(182,1),(183,1),(187,1),(231,1),(235,1),(239,1),(270,1),(278,1)}
       214:{3,5,7}:{(183,1),(184,1),(239,1)}
       215:{1,3,6,7}:{(185,1),(186,1),(234,1),(240,1)}
       216:{2,5}:{(188,1),(190,1)}
       217:{2,4,6}:{(189,1),(191,1),(226,1),(241,1),(242,1)}
       218:{1,4,5}:{(190,1),(191,1),(193,1),(241,1)}
       219:{1,3,4,6}:{(191,1),(192,1),(194,1),(229,1),(242,1),(243,1),(244,1)}
       220:{2,3,5,6}:{(192,1),(230,1),(244,1),(245,1),(248,1),(278,1),(280,1),(285,1),(299,1),(304,1),(305,1),(313,1)}
       221:{3,4,5}:{(193,1),(194,1)}
       222:{2,3,4,6}:{(194,1),(195,1),(233,1),(244,1),(246,1),(247,1),(305,1)}
       223:{1,3,5,6}:{(195,1),(196,1),(234,1),(247,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(216,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(217,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(209,1),(249,1),(252,1),(286,1),(293,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(218,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(219,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(212,1),(220,1),(254,1),(255,1),(258,1),(260,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(221,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(222,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(215,1),(223,1),(257,1),(258,1)}
       235:{1,4,5,6}:{(209,1),(210,1),(213,1),(252,1),(259,1)}
       236:{1,3,5,7}:{(210,1),(211,1),(214,1),(259,1),(260,1)}
       237:{2,4,6,7}:{(211,1),(212,1),(254,1),(260,1),(261,1),(289,1)}
       238:{1,3,6,7}:{(212,1),(255,1),(261,1),(262,1),(308,1)}
       239:{3,5,6}:{(213,1),(214,1),(256,1),(286,1)}
       240:{2,6,7}:{(215,1),(258,1)}
       241:{2,4,5}:{(216,1),(217,1),(218,1),(263,1)}
       242:{3,4,6}:{(217,1),(251,1),(263,1),(286,1)}
       243:{1,3,4,5}:{(218,1),(219,1),(221,1),(263,1),(265,1),(294,1)}
       244:{2,4,6}:{(219,1),(220,1),(254,1),(265,1),(266,1)}
       245:{1,3,5,6}:{(220,1),(255,1),(266,1),(267,1),(293,1),(294,1),(297,1),(308,1)}
       246:{2,3,4,5}:{(221,1),(222,1),(265,1),(268,1),(311,1)}
       247:{1,3,4,6}:{(222,1),(223,1),(257,1),(266,1),(268,1),(269,1),(297,1)}
       248:{2,5,6}:{(223,1),(258,1),(269,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(241,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(242,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(236,1),(243,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(244,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(238,1),(245,1),(275,1),(276,1),(279,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(239,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(247,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(240,1),(248,1),(277,1)}
       259:{1,3,5,6}:{(235,1),(236,1),(239,1),(273,1),(278,1)}
       260:{2,5,7}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,4,6,7}:{(237,1),(238,1),(275,1),(279,1),(302,1)}
       262:{1,2,6,7}:{(238,1),(240,1),(276,1),(313,1)}
       263:{3,5}:{(241,1),(242,1)}
       264:{2,3,4,6}:{(242,1),(244,1),(272,1),(280,1),(281,1),(285,1),(299,1),(307,1)}
       265:{2,4,5}:{(243,1),(244,1),(280,1),(282,1),(304,1)}
       266:{1,4,6}:{(244,1),(245,1),(275,1),(282,1)}
       267:{1,2,5,6}:{(245,1),(248,1),(276,1),(283,1),(304,1),(313,1)}
       268:{1,3,4,5}:{(246,1),(247,1),(282,1),(284,1),(306,1)}
       269:{2,4,6}:{(247,1),(248,1),(277,1),(284,1),(285,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(263,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(264,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(259,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(260,1),(265,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(266,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(262,1),(267,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(269,1),(292,1)}
       278:{2,5,6}:{(259,1),(260,1),(289,1),(293,1)}
       279:{1,5,7}:{(260,1),(261,1),(293,1)}
       280:{2,3,5}:{(263,1),(264,1),(265,1),(294,1)}
       281:{1,3,4,6}:{(264,1),(266,1),(288,1),(294,1),(295,1),(297,1),(308,1),(312,1)}
       282:{1,4,5}:{(265,1),(266,1),(294,1)}
       283:{1,2,4,6}:{(266,1),(267,1),(269,1),(291,1),(295,1),(296,1),(297,1)}
       284:{2,4,5}:{(268,1),(269,1),(298,1)}
       285:{2,3,6}:{(269,1),(292,1),(297,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(280,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(281,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(278,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(279,1),(282,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(283,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(285,1),(303,1)}
       293:{1,5,6}:{(278,1),(279,1),(302,1)}
       294:{1,3,5}:{(280,1),(281,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       296:{1,2,4,5}:{(282,1),(283,1),(284,1),(304,1),(306,1),(314,1)}
       297:{1,3,6}:{(283,1),(285,1),(303,1),(305,1),(306,1)}
       298:{2,3,5}:{(284,1),(285,1),(306,1),(307,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(295,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(293,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(297,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{2,3,6}:{(295,1),(297,1),(310,1),(311,1)}
       306:{1,3,5}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,4}:{(298,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1140 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(81,1),(326,1),(345,1),(359,1),(363,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(35,1),(43,1),(225,1),(241,1),(260,1),(363,1),(367,1),(448,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(113,1),(308,1),(311,1),(410,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(54,1),(275,1),(293,1),(394,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(52,1),(313,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(40,1),(43,1),(239,1),(255,1),(258,1),(345,1),(368,1),(435,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(151,1),(448,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(448,1),(452,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(79,1),(435,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(43,1),(241,1),(265,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(52,1),(63,1),(105,1),(130,1),(182,1),(191,1),(316,1),(319,1),(413,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(60,1),(67,1),(109,1),(113,1),(190,1),(206,1),(208,1),(297,1),(321,1),(398,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(291,1),(414,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(130,1),(311,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(293,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(52,1),(67,1),(196,1),(219,1)}
        18:{1,2,5,6,7}:{(13,1),(31,1),(33,1),(151,1),(231,1),(330,1),(339,1),(344,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(77,1),(79,1),(142,1),(151,1),(229,1),(240,1),(344,1),(348,1),(435,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(32,1),(34,1),(35,1),(43,1),(241,1),(369,1)}
        21:{1,3,4,6,7}:{(11,1),(36,1),(37,1),(46,1),(87,1),(97,1),(152,1),(159,1),(161,1),(248,1),(271,1),(352,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(37,1),(38,1),(39,1),(147,1),(151,1),(238,1),(371,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(38,1),(40,1),(43,1),(258,1),(262,1)}
        24:{1,4,5,7}:{(12,1),(39,1),(40,1),(435,1),(452,1)}
        25:{1,3,4,5}:{(15,1),(32,1),(42,1),(452,1),(453,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(17,1),(42,1),(45,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(44,1),(46,1),(79,1),(245,1)}
        30:{1,3,4,6}:{(17,1),(45,1),(46,1),(47,1),(80,1),(97,1),(154,1),(175,1)}
        31:{1,3,5,6,7}:{(18,1),(23,1),(49,1),(50,1),(53,1),(112,1),(288,1),(291,1),(394,1)}
        32:{1,3,4,6}:{(20,1),(25,1),(51,1),(52,1),(413,1),(415,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(50,1),(53,1),(113,1),(184,1),(279,1),(379,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(53,1),(54,1),(293,1),(397,1)}
        35:{2,3,5,6}:{(20,1),(28,1),(52,1),(54,1),(55,1),(67,1),(130,1),(182,1),(196,1)}
        36:{1,2,4,6,7}:{(21,1),(56,1),(57,1),(70,1),(120,1),(121,1),(134,1),(190,1),(223,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(197,1),(323,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(67,1),(126,1),(130,1),(208,1),(211,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(61,1),(398,1),(416,1)}
        40:{1,4,6}:{(23,1),(24,1),(60,1)}
        41:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(51,1),(61,1),(64,1),(65,1),(112,1)}
        42:{2,4,5}:{(25,1),(28,1),(52,1),(66,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(28,1),(30,1),(66,1),(69,1)}
        46:{1,3,4,7}:{(29,1),(30,1),(68,1),(70,1),(114,1),(199,1)}
        47:{1,2,4,6}:{(30,1),(69,1),(70,1),(71,1),(134,1),(136,1)}
        48:{1,3,4,5,6}:{(32,1),(72,1),(73,1),(93,1),(139,1),(167,1),(234,1),(266,1),(369,1),(427,1)}
        49:{2,3,5,6,7}:{(31,1),(38,1),(74,1),(75,1),(81,1),(147,1),(151,1),(236,1),(238,1),(330,1),(349,1),(422,1)}
        50:{1,4,6,7}:{(31,1),(40,1),(75,1),(77,1),(435,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(79,1),(435,1),(438,1)}
        52:{2,4,6}:{(32,1),(35,1),(42,1),(79,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1),(43,1),(81,1),(422,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(151,1),(229,1),(245,1)}
        55:{1,3,5,6}:{(35,1),(45,1),(80,1),(82,1),(83,1),(97,1),(154,1),(172,1)}
        56:{1,2,3,6,7}:{(36,1),(84,1),(100,1),(161,1),(176,1),(236,1),(248,1),(485,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(85,1),(238,1),(272,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(85,1),(87,1),(97,1),(161,1),(172,1)}
        59:{1,4,5,7}:{(37,1),(39,1),(87,1),(352,1),(372,1)}
        60:{2,4,6}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{3,4,5,7}:{(39,1),(90,1),(147,1),(438,1),(453,1)}
        62:{2,3,4,5}:{(42,1),(76,1),(92,1),(171,1),(333,1),(453,1)}
        63:{1,4,5,6}:{(40,1),(77,1),(89,1),(93,1),(262,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(90,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(44,1),(79,1),(94,1),(95,1),(151,1)}
        66:{1,4,5}:{(42,1),(45,1),(80,1)}
        67:{2,3,6}:{(43,1),(44,1),(94,1),(97,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(46,1),(95,1),(97,1),(98,1)}
        69:{1,2,5}:{(45,1),(47,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(98,1),(100,1)}
        71:{1,2,3,6}:{(47,1),(99,1),(100,1),(154,1)}
        72:{1,3,4,5,7}:{(48,1),(51,1),(103,1),(104,1),(112,1),(181,1),(192,1),(284,1),(295,1),(384,1),(397,1)}
        73:{2,4,5,6}:{(48,1),(52,1),(101,1),(104,1),(105,1),(130,1),(182,1),(281,1),(461,1)}
        74:{1,3,5,6,7}:{(49,1),(58,1),(106,1),(107,1),(116,1),(188,1),(189,1),(197,1),(300,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(60,1),(107,1),(108,1),(109,1),(398,1)}
        76:{2,3,4,6}:{(52,1),(62,1),(101,1),(110,1),(111,1),(196,1),(281,1),(415,1)}
        77:{1,4,5,7}:{(50,1),(63,1),(108,1),(112,1),(291,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(64,1),(109,1),(112,1),(113,1)}
        79:{2,4,7}:{(51,1),(52,1),(54,1),(114,1)}
        80:{1,4,6}:{(52,1),(55,1),(66,1),(114,1)}
        81:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(116,1),(279,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(114,1),(116,1),(117,1),(197,1),(199,1)}
        83:{1,2,5,6}:{(55,1),(69,1),(115,1),(117,1),(134,1),(182,1)}
        84:{1,2,3,5,7}:{(56,1),(57,1),(119,1),(120,1),(122,1),(287,1),(300,1),(468,1),(515,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(121,1),(134,1),(211,1)}
        86:{1,2,4,5,7}:{(57,1),(59,1),(120,1),(121,1),(122,1),(125,1),(204,1)}
        87:{1,4,6}:{(58,1),(59,1),(60,1)}
        88:{1,3,4,5,7}:{(59,1),(61,1),(122,1),(124,1),(125,1),(189,1),(286,1),(305,1)}
        89:{2,4,5,6}:{(60,1),(63,1),(108,1),(123,1),(126,1),(130,1),(211,1)}
        90:{3,4,6}:{(60,1),(61,1),(126,1)}
        91:{2,3,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(125,1),(127,1),(128,1),(193,1),(218,1),(382,1),(386,1),(398,1),(403,1),(416,1),(473,1),(520,1)}
        92:{1,3,4,5}:{(62,1),(66,1),(111,1),(129,1),(133,1),(214,1),(378,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(112,1),(126,1),(130,1)}
        94:{2,4,6}:{(64,1),(65,1),(67,1),(130,1),(131,1)}
        95:{1,4,5,7}:{(65,1),(66,1),(68,1),(114,1),(131,1),(197,1)}
        96:{1,2,4,5}:{(66,1),(69,1),(115,1),(129,1),(133,1),(136,1)}
        97:{1,3,6}:{(67,1),(68,1),(131,1),(134,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(134,1)}
        99:{1,2,3,5}:{(69,1),(71,1),(133,1),(136,1)}
       100:{1,2,3,7}:{(70,1),(71,1),(199,1)}
       101:{2,3,5,6}:{(73,1),(76,1),(138,1),(139,1),(369,1)}
       102:{1,4,5,6,7}:{(77,1),(137,1),(140,1),(325,1),(329,1),(426,1)}
       103:{1,3,4,6,7}:{(72,1),(140,1),(141,1),(226,1),(228,1),(329,1),(422,1)}
       104:{2,4,5,7}:{(72,1),(73,1),(79,1),(138,1),(141,1),(142,1),(151,1),(229,1),(332,1),(424,1)}
       105:{1,4,5,6}:{(73,1),(80,1),(139,1),(142,1),(172,1),(328,1),(489,1)}
       106:{1,2,5,6,7}:{(74,1),(85,1),(144,1),(155,1),(238,1),(247,1),(325,1),(330,1)}
       107:{1,4,6,7}:{(74,1),(75,1),(87,1),(145,1),(352,1)}
       108:{2,4,5,7}:{(75,1),(77,1),(89,1),(145,1),(147,1),(151,1),(238,1)}
       109:{3,4,6,7}:{(75,1),(90,1),(147,1),(422,1),(438,1)}
       110:{2,3,4,7}:{(76,1),(79,1),(138,1),(149,1),(245,1),(332,1),(438,1)}
       111:{1,3,4,6}:{(76,1),(80,1),(92,1),(139,1),(149,1),(150,1),(154,1),(241,1),(328,1)}
       112:{1,3,5,7}:{(77,1),(78,1),(93,1),(147,1),(151,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(81,1),(94,1),(151,1),(152,1)}
       114:{1,4,7}:{(79,1),(80,1),(82,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(96,1),(150,1),(153,1),(154,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(97,1),(152,1),(155,1)}
       117:{1,2,5,7}:{(82,1),(83,1),(153,1),(155,1),(229,1)}
       118:{1,2,3,5,6}:{(83,1),(99,1),(154,1),(156,1),(157,1),(176,1),(230,1),(250,1),(270,1),(272,1),(354,1),(355,1)}
       119:{1,2,3,5,6}:{(84,1),(85,1),(158,1),(161,1),(176,1),(253,1),(257,1),(270,1),(272,1),(449,1),(505,1),(537,1)}
       120:{1,2,4,7}:{(84,1),(158,1),(159,1),(337,1),(352,1)}
       121:{1,2,4,6}:{(85,1),(86,1),(87,1),(161,1),(164,1)}
       122:{1,3,5,7}:{(86,1),(159,1),(161,1),(162,1),(253,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(145,1),(163,1),(172,1)}
       124:{1,3,4,6}:{(87,1),(88,1),(90,1),(161,1),(163,1),(164,1)}
       125:{2,4,5,7}:{(88,1),(162,1),(164,1),(165,1),(238,1),(337,1),(356,1)}
       126:{3,5,6}:{(89,1),(90,1),(147,1)}
       127:{2,3,4,6}:{(90,1),(91,1),(94,1),(164,1),(168,1),(169,1),(268,1),(370,1),(425,1),(501,1),(536,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(95,1),(149,1),(165,1),(169,1),(170,1),(174,1),(243,1),(264,1),(352,1),(372,1),(421,1),(428,1),(435,1),(438,1),(442,1),(452,1),(453,1),(535,1)}
       129:{2,4,5}:{(92,1),(150,1),(171,1)}
       130:{2,5,6}:{(93,1),(94,1),(151,1),(172,1)}
       131:{1,4,6}:{(94,1),(95,1),(97,1),(172,1)}
       132:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(153,1),(170,1),(173,1),(174,1),(177,1),(247,1),(272,1),(352,1),(372,1),(492,1),(502,1),(535,1),(550,1)}
       133:{1,3,5}:{(96,1),(154,1),(171,1),(175,1)}
       134:{1,2,6}:{(97,1),(98,1)}
       135:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(174,1),(176,1),(177,1),(272,1),(531,1),(537,1),(550,1)}
       136:{1,2,4}:{(99,1),(175,1)}
       137:{2,4,5,6,7}:{(102,1),(108,1),(178,1),(179,1),(183,1),(274,1),(277,1),(379,1),(460,1)}
       138:{2,3,5,7}:{(101,1),(104,1),(110,1),(180,1),(181,1),(397,1)}
       139:{1,3,5,6}:{(101,1),(105,1),(111,1),(181,1),(182,1)}
       140:{1,3,5,6,7}:{(102,1),(103,1),(112,1),(179,1),(183,1),(384,1)}
       141:{2,4,6,7}:{(103,1),(104,1),(180,1),(183,1),(184,1),(279,1)}
       142:{1,4,5,7}:{(104,1),(105,1),(114,1),(181,1),(184,1),(197,1),(377,1),(457,1)}
       143:{1,2,4,5,6}:{(105,1),(115,1),(182,1),(185,1),(186,1),(203,1),(220,1),(281,1),(304,1),(319,1),(322,1),(461,1),(462,1)}
       144:{1,2,4,6,7}:{(106,1),(107,1),(121,1),(187,1),(188,1),(190,1),(374,1),(379,1),(454,1)}
       145:{1,4,5,7}:{(107,1),(108,1),(123,1),(189,1),(197,1)}
       146:{1,3,4,6,7}:{(107,1),(109,1),(124,1),(188,1),(189,1),(190,1),(286,1)}
       147:{3,5,7}:{(108,1),(109,1),(126,1)}
       148:{2,3,4,6,7}:{(109,1),(110,1),(113,1),(127,1),(180,1),(190,1),(193,1),(194,1),(277,1),(297,1),(373,1),(381,1),(386,1),(398,1),(459,1),(511,1)}
       149:{1,3,4,7}:{(110,1),(111,1),(114,1),(181,1),(195,1),(199,1),(293,1),(377,1)}
       150:{2,4,6}:{(111,1),(129,1),(182,1),(195,1),(196,1)}
       151:{2,5,7}:{(112,1),(113,1),(130,1),(197,1)}
       152:{1,4,6,7}:{(113,1),(114,1),(116,1),(131,1),(197,1)}
       153:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{1,3,6}:{(115,1),(133,1),(196,1),(199,1)}
       155:{1,2,6,7}:{(116,1),(117,1),(134,1),(279,1)}
       156:{1,2,3,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(280,1),(300,1),(302,1),(303,1)}
       157:{1,2,4,6}:{(118,1),(136,1),(200,1),(202,1),(203,1),(281,1),(322,1)}
       158:{1,2,4,6}:{(119,1),(120,1),(204,1),(205,1),(309,1),(322,1),(547,1)}
       159:{1,3,4,7}:{(120,1),(122,1),(205,1),(206,1),(515,1)}
       160:{1,2,4,5,6}:{(121,1),(123,1),(187,1),(204,1),(207,1),(211,1),(220,1),(309,1),(315,1),(319,1),(322,1),(411,1),(478,1)}
       161:{1,3,6}:{(121,1),(122,1),(208,1)}
       162:{2,3,5,7}:{(122,1),(125,1),(206,1),(208,1),(209,1),(306,1)}
       163:{1,3,5,6}:{(123,1),(124,1),(126,1),(189,1),(211,1)}
       164:{2,4,6}:{(124,1),(125,1),(208,1),(211,1),(212,1)}
       165:{1,4,5,7}:{(125,1),(209,1),(212,1),(291,1),(387,1),(404,1)}
       166:{1,2,4,5}:{(129,1),(191,1),(214,1),(313,1),(378,1),(391,1)}
       167:{3,4,5,6}:{(126,1),(192,1),(215,1),(415,1),(514,1)}
       168:{2,3,5,6}:{(126,1),(127,1),(130,1),(193,1),(211,1),(215,1),(216,1),(461,1),(514,1),(542,1)}
       169:{1,3,4,6}:{(127,1),(128,1),(131,1),(212,1),(216,1),(217,1),(221,1),(317,1),(322,1),(413,1),(415,1),(458,1),(546,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(195,1),(217,1),(218,1),(296,1),(398,1),(416,1),(463,1),(475,1)}
       171:{2,3,5}:{(129,1),(133,1),(196,1),(214,1),(219,1)}
       172:{1,5,6}:{(130,1),(131,1),(197,1)}
       173:{1,2,4,6}:{(131,1),(132,1),(134,1),(217,1),(220,1),(221,1),(322,1),(546,1),(552,1)}
       174:{1,3,5,7}:{(132,1),(133,1),(199,1),(218,1),(221,1),(222,1),(323,1),(515,1),(522,1)}
       175:{1,3,4}:{(133,1),(136,1),(219,1)}
       176:{1,2,3,6}:{(134,1),(135,1),(221,1),(223,1),(552,1)}
       177:{1,2,4,7}:{(135,1),(136,1),(222,1),(223,1),(547,1)}
       178:{1,4,5,6,7}:{(137,1),(145,1),(224,1),(231,1),(329,1),(488,1)}
       179:{3,5,6,7}:{(137,1),(147,1),(226,1),(422,1),(490,1)}
       180:{2,3,6,7}:{(138,1),(141,1),(228,1),(422,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(228,1),(229,1)}
       182:{2,5,6}:{(139,1),(150,1),(229,1)}
       183:{2,5,6,7}:{(140,1),(141,1),(151,1),(231,1),(424,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(228,1),(231,1)}
       185:{1,2,4,5,7}:{(142,1),(143,1),(153,1),(229,1),(232,1),(233,1),(247,1),(332,1),(348,1),(352,1),(424,1),(426,1)}
       186:{1,3,5,6}:{(143,1),(154,1),(230,1),(233,1),(234,1),(250,1),(354,1),(369,1)}
       187:{1,2,4,5,7}:{(144,1),(145,1),(160,1),(235,1),(238,1),(247,1),(337,1),(343,1),(348,1),(352,1),(433,1),(492,1)}
       188:{1,3,6,7}:{(144,1),(161,1),(235,1),(236,1),(422,1)}
       189:{1,3,5,7}:{(145,1),(146,1),(147,1),(163,1),(238,1)}
       190:{2,4,6,7}:{(146,1),(164,1),(236,1),(238,1),(239,1),(337,1)}
       191:{1,2,4,6}:{(150,1),(166,1),(225,1),(240,1),(241,1),(328,1)}
       192:{3,4,5,7}:{(147,1),(167,1),(226,1),(242,1),(438,1),(490,1)}
       193:{2,3,5,7}:{(147,1),(148,1),(151,1),(168,1),(238,1),(242,1),(243,1),(424,1),(490,1),(529,1)}
       194:{1,3,4,6,7}:{(148,1),(149,1),(152,1),(169,1),(228,1),(239,1),(243,1),(244,1),(248,1),(329,1),(345,1),(352,1),(417,1),(420,1),(422,1),(428,1),(435,1),(438,1),(528,1)}
       195:{2,4,7}:{(149,1),(150,1),(229,1),(245,1)}
       196:{2,3,6}:{(150,1),(154,1),(171,1),(241,1),(245,1)}
       197:{1,5,7}:{(151,1),(152,1),(172,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(173,1),(244,1),(247,1),(248,1),(352,1),(485,1),(492,1),(528,1)}
       199:{1,3,7}:{(153,1),(154,1),(245,1)}
       200:{1,3,4,6}:{(154,1),(157,1),(175,1),(246,1),(249,1),(250,1),(354,1)}
       201:{1,2,3,6,7}:{(155,1),(156,1),(176,1),(248,1),(251,1),(331,1),(354,1),(531,1)}
       202:{1,2,4,7}:{(156,1),(157,1),(249,1),(332,1),(352,1)}
       203:{1,2,4,5}:{(157,1),(250,1),(272,1),(333,1),(372,1)}
       204:{1,2,4,5}:{(158,1),(253,1),(272,1),(356,1),(372,1)}
       205:{1,3,4,6}:{(158,1),(159,1),(161,1),(253,1),(254,1),(505,1),(538,1)}
       206:{2,3,4,7}:{(159,1),(162,1),(254,1),(255,1),(337,1),(493,1)}
       207:{1,3,5,6}:{(160,1),(161,1),(235,1),(253,1),(256,1),(257,1),(369,1),(505,1)}
       208:{2,3,6}:{(161,1),(162,1),(164,1),(258,1)}
       209:{1,3,5,7}:{(162,1),(165,1),(255,1),(258,1),(259,1),(357,1)}
       210:{1,3,4,5,6}:{(163,1),(167,1),(237,1),(256,1),(261,1),(266,1),(365,1),(369,1),(451,1),(530,1)}
       211:{2,5,6}:{(163,1),(164,1),(238,1),(262,1)}
       212:{1,4,6}:{(164,1),(165,1),(258,1),(262,1)}
       213:{1,2,4,5,7}:{(165,1),(166,1),(170,1),(240,1),(259,1),(263,1),(264,1),(344,1),(364,1),(421,1),(429,1),(432,1),(435,1),(443,1),(448,1),(452,1)}
       214:{1,3,5}:{(166,1),(171,1),(241,1),(265,1)}
       215:{2,4,5,6}:{(167,1),(168,1),(242,1),(266,1),(370,1)}
       216:{1,3,5,6}:{(168,1),(169,1),(172,1),(243,1),(262,1),(266,1),(267,1),(369,1),(489,1),(549,1)}
       217:{2,4,6}:{(169,1),(170,1),(267,1),(268,1)}
       218:{2,3,5,7}:{(170,1),(171,1),(174,1),(245,1),(264,1),(268,1),(269,1),(371,1),(493,1),(503,1)}
       219:{2,3,4}:{(171,1),(175,1),(265,1)}
       220:{1,2,5,6}:{(172,1),(173,1),(247,1),(267,1),(270,1),(272,1),(549,1)}
       221:{1,3,6}:{(173,1),(174,1),(268,1)}
       222:{1,3,4,7}:{(174,1),(175,1),(177,1),(269,1),(271,1),(352,1),(538,1)}
       223:{1,2,4,6}:{(176,1),(177,1),(271,1),(272,1)}
       224:{1,3,5,6,7}:{(178,1),(179,1),(189,1),(273,1),(274,1),(512,1)}
       225:{1,2,5,6}:{(182,1),(191,1),(275,1),(276,1),(391,1),(467,1)}
       226:{3,4,6,7}:{(179,1),(192,1),(277,1)}
       227:{2,3,5,6,7}:{(179,1),(180,1),(183,1),(193,1),(274,1),(277,1),(278,1),(373,1)}
       228:{1,3,6,7}:{(180,1),(181,1),(184,1),(279,1)}
       229:{2,5,7}:{(181,1),(182,1),(195,1),(279,1)}
       230:{2,3,5,6}:{(182,1),(186,1),(196,1),(276,1),(280,1),(281,1),(299,1),(400,1),(461,1)}
       231:{1,5,6,7}:{(183,1),(184,1),(197,1),(457,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(279,1),(282,1),(283,1),(304,1),(379,1),(381,1),(383,1)}
       233:{1,3,5,7}:{(185,1),(186,1),(199,1),(280,1),(283,1),(284,1),(397,1)}
       234:{1,3,4,6}:{(186,1),(281,1),(284,1),(285,1),(322,1),(415,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(207,1),(286,1),(287,1),(397,1),(515,1)}
       236:{2,3,6,7}:{(188,1),(190,1),(208,1),(287,1),(288,1),(454,1)}
       237:{1,3,4,5,7}:{(189,1),(192,1),(210,1),(273,1),(286,1),(290,1),(295,1),(392,1),(397,1),(470,1),(512,1)}
       238:{2,5,7}:{(189,1),(190,1),(211,1),(291,1)}
       239:{1,4,6,7}:{(190,1),(212,1),(288,1),(291,1),(387,1)}
       240:{1,2,4,7}:{(191,1),(195,1),(275,1),(293,1),(377,1)}
       241:{1,3,6}:{(191,1),(196,1),(214,1),(293,1)}
       242:{2,4,5,7}:{(192,1),(193,1),(215,1),(277,1),(295,1),(398,1)}
       243:{1,3,5,7}:{(193,1),(194,1),(197,1),(216,1),(291,1),(295,1),(296,1),(397,1),(457,1),(541,1)}
       244:{2,4,6,7}:{(194,1),(195,1),(217,1),(279,1),(296,1),(297,1),(398,1),(454,1),(463,1)}
       245:{2,3,7}:{(195,1),(196,1),(199,1),(293,1)}
       246:{2,3,4,6}:{(196,1),(200,1),(219,1),(281,1),(294,1),(298,1),(299,1),(400,1)}
       247:{1,2,5,7}:{(197,1),(198,1),(220,1),(296,1),(300,1),(541,1)}
       248:{1,3,6,7}:{(198,1),(199,1),(221,1),(297,1),(300,1),(515,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(202,1),(298,1),(302,1)}
       250:{1,3,5}:{(200,1),(203,1),(299,1)}
       251:{1,2,4,6,7}:{(201,1),(202,1),(223,1),(301,1),(303,1),(304,1),(381,1),(543,1),(552,1)}
       252:{1,2,4,5,7}:{(202,1),(203,1),(302,1),(303,1),(304,1),(382,1),(401,1)}
       253:{1,3,5}:{(204,1),(205,1),(306,1)}
       254:{2,3,4,6}:{(205,1),(206,1),(208,1),(306,1),(307,1),(309,1),(479,1),(523,1)}
       255:{1,3,4,7}:{(206,1),(209,1),(307,1),(308,1),(387,1),(464,1)}
       256:{1,3,4,6}:{(207,1),(286,1),(305,1),(309,1),(322,1),(415,1)}
       257:{2,3,5,6}:{(207,1),(208,1),(211,1),(287,1),(306,1),(309,1),(310,1),(411,1),(479,1)}
       258:{1,3,6}:{(208,1),(209,1),(212,1),(311,1)}
       259:{1,2,5,7}:{(209,1),(308,1),(311,1),(405,1)}
       260:{1,2,3,5}:{(214,1),(289,1),(313,1),(391,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(290,1),(309,1),(314,1),(315,1),(411,1),(483,1),(542,1)}
       262:{1,5,6}:{(211,1),(212,1),(291,1)}
       263:{1,2,4,6}:{(212,1),(213,1),(217,1),(311,1),(316,1),(317,1),(413,1),(458,1),(467,1)}
       264:{1,3,5,7}:{(213,1),(214,1),(218,1),(293,1),(317,1),(318,1),(414,1),(464,1),(476,1)}
       265:{1,3,4}:{(214,1),(219,1),(313,1)}
       266:{1,4,5,6}:{(215,1),(216,1),(295,1),(319,1),(322,1),(413,1)}
       267:{2,5,6}:{(216,1),(217,1),(296,1)}
       268:{2,3,6}:{(217,1),(218,1),(221,1),(317,1)}
       269:{2,3,4,7}:{(218,1),(219,1),(222,1),(318,1),(321,1),(398,1),(523,1)}
       270:{1,3,5,6}:{(220,1),(221,1),(300,1),(320,1),(322,1),(323,1)}
       271:{1,3,4,6}:{(221,1),(222,1),(223,1),(321,1),(322,1),(323,1)}
       272:{1,2,5}:{(223,1),(323,1)}
       273:{1,3,4,6,7}:{(224,1),(226,1),(237,1),(324,1),(329,1),(417,1),(422,1)}
       274:{2,5,6,7}:{(224,1),(238,1),(324,1),(325,1),(529,1)}
       275:{1,2,5,7}:{(225,1),(229,1),(240,1),(326,1),(327,1)}
       276:{1,3,5,6}:{(225,1),(230,1),(241,1),(327,1),(328,1),(347,1),(437,1),(489,1)}
       277:{2,4,6,7}:{(226,1),(227,1),(242,1),(329,1)}
       278:{1,3,5,6,7}:{(227,1),(228,1),(231,1),(243,1),(325,1),(329,1),(330,1),(417,1),(422,1)}
       279:{2,6,7}:{(228,1),(229,1)}
       280:{2,3,5,7}:{(229,1),(230,1),(233,1),(245,1),(327,1),(331,1),(332,1),(424,1)}
       281:{2,4,6}:{(230,1),(234,1),(328,1),(332,1),(333,1)}
       282:{1,2,5,6,7}:{(231,1),(232,1),(247,1),(330,1),(334,1),(355,1),(424,1),(485,1)}
       283:{1,3,6,7}:{(232,1),(233,1),(331,1),(354,1),(422,1)}
       284:{1,3,4,7}:{(233,1),(234,1),(332,1),(352,1),(438,1)}
       285:{1,3,4,5}:{(234,1),(250,1),(333,1),(372,1),(453,1)}
       286:{1,3,4,7}:{(235,1),(256,1),(337,1),(352,1),(438,1)}
       287:{2,3,5,7}:{(235,1),(236,1),(238,1),(257,1),(337,1),(338,1),(433,1),(493,1)}
       288:{1,3,6,7}:{(236,1),(239,1),(258,1),(338,1),(339,1)}
       289:{1,2,3,6}:{(241,1),(260,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(237,1),(238,1),(261,1),(324,1),(337,1),(342,1),(343,1),(433,1),(498,1),(529,1)}
       291:{1,5,7}:{(238,1),(239,1),(262,1)}
       292:{1,2,4,6,7}:{(239,1),(240,1),(244,1),(263,1),(326,1),(339,1),(344,1),(345,1),(420,1),(429,1),(435,1)}
       293:{1,3,7}:{(240,1),(241,1),(245,1)}
       294:{1,3,4,6}:{(241,1),(246,1),(265,1),(328,1),(341,1),(346,1),(347,1),(437,1)}
       295:{1,4,5,7}:{(242,1),(243,1),(266,1),(329,1),(348,1),(352,1),(435,1)}
       296:{2,5,7}:{(243,1),(244,1),(267,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(248,1),(268,1),(345,1),(349,1),(422,1),(493,1)}
       298:{2,3,4,7}:{(245,1),(246,1),(249,1),(332,1),(346,1),(351,1)}
       299:{2,3,5}:{(246,1),(250,1),(333,1),(347,1)}
       300:{1,3,5,7}:{(247,1),(248,1),(270,1),(349,1),(352,1)}
       301:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(271,1),(350,1),(352,1),(353,1),(354,1),(441,1),(528,1),(532,1),(551,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(252,1),(351,1),(354,1)}
       303:{1,2,5,7}:{(251,1),(272,1),(353,1),(355,1),(424,1)}
       304:{1,2,4,6}:{(252,1),(354,1),(355,1),(425,1),(441,1)}
       305:{1,3,4,5}:{(253,1),(256,1),(356,1),(372,1),(453,1)}
       306:{2,3,5}:{(253,1),(254,1),(356,1),(357,1)}
       307:{1,3,4,6}:{(254,1),(255,1),(258,1),(357,1),(358,1),(361,1),(446,1),(504,1)}
       308:{1,2,4,7}:{(255,1),(259,1),(358,1),(359,1)}
       309:{2,4,6}:{(256,1),(257,1),(337,1),(356,1),(361,1)}
       310:{1,3,5,6}:{(257,1),(258,1),(262,1),(338,1),(357,1),(361,1),(362,1),(446,1)}
       311:{1,2,6}:{(258,1),(259,1)}
       312:{1,2,3,5,7}:{(259,1),(260,1),(264,1),(340,1),(359,1),(363,1),(364,1),(432,1),(444,1),(448,1)}
       313:{1,2,4}:{(260,1),(265,1)}
       314:{2,3,5,6}:{(261,1),(342,1),(360,1),(365,1),(369,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(343,1),(361,1),(365,1),(508,1),(549,1)}
       316:{1,2,5,6}:{(262,1),(263,1),(267,1),(344,1),(367,1),(448,1),(489,1)}
       317:{1,3,6}:{(263,1),(264,1),(268,1)}
       318:{1,3,4,7}:{(264,1),(265,1),(269,1),(364,1),(368,1),(435,1),(504,1)}
       319:{2,4,5,6}:{(266,1),(267,1),(348,1),(369,1),(370,1)}
       320:{2,3,5,6}:{(267,1),(268,1),(270,1),(349,1),(367,1),(369,1),(370,1),(371,1)}
       321:{2,3,4,6}:{(268,1),(269,1),(271,1),(368,1),(370,1),(371,1)}
       322:{1,4,6}:{(270,1),(352,1),(370,1),(372,1)}
       323:{1,3,5}:{(271,1),(272,1),(371,1),(372,1)}
       324:{2,4,6,7}:{(273,1),(274,1),(290,1),(373,1),(374,1),(454,1)}
       325:{1,5,6,7}:{(274,1),(291,1),(374,1),(541,1)}
       326:{1,2,6,7}:{(275,1),(279,1),(376,1),(467,1)}
       327:{1,3,5,7}:{(275,1),(276,1),(280,1),(293,1),(376,1),(377,1),(457,1)}
       328:{1,4,6}:{(276,1),(281,1),(377,1),(378,1)}
       329:{1,4,6,7}:{(277,1),(278,1),(295,1),(379,1)}
       330:{2,5,6,7}:{(278,1),(279,1),(296,1),(379,1),(454,1)}
       331:{2,3,6,7}:{(279,1),(280,1),(283,1),(376,1),(381,1),(400,1)}
       332:{2,4,7}:{(280,1),(281,1),(284,1),(377,1)}
       333:{2,4,5}:{(281,1),(285,1),(299,1),(378,1)}
       334:{1,3,5,6,7}:{(282,1),(283,1),(300,1),(380,1),(383,1),(384,1),(402,1),(510,1),(541,1)}
       335:{1,3,4,6,7}:{(283,1),(284,1),(381,1),(383,1),(384,1),(385,1),(459,1)}
       336:{1,3,4,5,7}:{(284,1),(285,1),(302,1),(382,1),(384,1),(385,1),(401,1),(473,1)}
       337:{2,4,7}:{(286,1),(287,1),(309,1),(387,1)}
       338:{1,3,5,7}:{(287,1),(288,1),(291,1),(310,1),(387,1),(388,1),(464,1)}
       339:{1,2,6,7}:{(288,1),(311,1),(388,1),(454,1)}
       340:{1,2,3,7}:{(289,1),(293,1),(390,1)}
       341:{1,2,4,6}:{(289,1),(294,1),(313,1),(390,1),(391,1),(467,1)}
       342:{2,3,5,7}:{(290,1),(314,1),(373,1),(386,1),(392,1),(397,1)}
       343:{1,4,5,7}:{(290,1),(291,1),(315,1),(374,1),(387,1),(392,1),(519,1),(541,1)}
       344:{1,2,5,7}:{(291,1),(292,1),(296,1),(316,1),(394,1),(457,1)}
       345:{1,3,6,7}:{(292,1),(293,1),(297,1),(317,1),(394,1),(464,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(377,1),(390,1),(396,1)}
       347:{1,3,5}:{(294,1),(299,1),(378,1),(391,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(319,1),(379,1),(397,1),(398,1)}
       349:{2,3,5,7}:{(296,1),(297,1),(300,1),(320,1),(394,1),(397,1),(398,1)}
       350:{2,3,4,6,7}:{(297,1),(298,1),(301,1),(321,1),(381,1),(395,1),(398,1),(399,1),(400,1),(459,1),(474,1),(511,1),(516,1),(545,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(302,1),(382,1),(396,1),(400,1)}
       352:{1,4,7}:{(300,1),(322,1),(398,1)}
       353:{1,3,5,7}:{(301,1),(303,1),(323,1),(399,1),(401,1),(402,1),(541,1)}
       354:{1,3,6}:{(302,1),(304,1),(400,1)}
       355:{1,2,5,6}:{(303,1),(304,1),(402,1),(461,1),(552,1)}
       356:{2,4,5}:{(305,1),(306,1),(309,1),(404,1)}
       357:{1,3,5}:{(306,1),(307,1),(404,1),(405,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(311,1),(405,1),(406,1),(477,1)}
       359:{1,2,3,7}:{(308,1),(406,1),(464,1)}
       360:{2,3,4,6}:{(309,1),(314,1),(386,1),(403,1),(407,1),(415,1),(479,1),(483,1)}
       361:{1,4,6}:{(309,1),(310,1),(387,1),(404,1)}
       362:{1,2,5,6}:{(310,1),(311,1),(388,1),(405,1),(408,1),(411,1)}
       363:{1,2,3,6}:{(311,1),(312,1),(317,1),(410,1),(467,1)}
       364:{1,2,4,7}:{(312,1),(313,1),(318,1),(410,1),(477,1)}
       365:{1,3,5,6}:{(314,1),(315,1),(392,1),(407,1),(411,1)}
       366:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(393,1),(408,1),(411,1),(412,1),(413,1),(481,1),(483,1),(513,1),(518,1),(542,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(320,1),(394,1),(413,1),(414,1)}
       368:{1,3,4,6}:{(317,1),(318,1),(321,1),(410,1),(413,1),(414,1)}
       369:{3,5,6}:{(319,1),(397,1),(415,1)}
       370:{2,4,6}:{(320,1),(322,1),(398,1),(413,1),(415,1),(416,1)}
       371:{2,3,5}:{(321,1),(323,1),(414,1),(416,1)}
       372:{1,4,5}:{(322,1),(323,1),(416,1)}
       373:{2,3,6,7}:{(324,1),(342,1),(417,1),(422,1)}
       374:{1,4,6,7}:{(324,1),(325,1),(343,1),(417,1)}
       375:{1,2,5,6,7}:{(325,1),(326,1),(330,1),(344,1),(418,1),(419,1),(496,1),(529,1)}
       376:{1,3,6,7}:{(326,1),(327,1),(331,1),(420,1),(437,1)}
       377:{1,4,7}:{(327,1),(328,1),(332,1)}
       378:{1,4,5}:{(328,1),(333,1),(347,1)}
       379:{2,4,6,7}:{(329,1),(330,1),(348,1),(422,1)}
       380:{2,3,5,6,7}:{(330,1),(331,1),(334,1),(349,1),(419,1),(422,1),(423,1),(424,1),(440,1),(486,1),(490,1),(529,1)}
       381:{2,4,6,7}:{(331,1),(332,1),(335,1),(420,1),(424,1),(425,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(336,1),(351,1),(421,1),(424,1),(425,1)}
       383:{1,4,6,7}:{(334,1),(352,1),(423,1),(426,1),(441,1)}
       384:{1,3,5,7}:{(335,1),(424,1),(426,1),(427,1),(490,1)}
       385:{1,3,4,6}:{(336,1),(354,1),(425,1),(427,1),(441,1),(501,1)}
       386:{2,3,4,7}:{(337,1),(342,1),(360,1),(428,1),(438,1),(493,1),(498,1)}
       387:{1,4,7}:{(337,1),(338,1),(361,1)}
       388:{1,2,5,7}:{(338,1),(339,1),(362,1),(429,1),(433,1)}
       389:{1,2,3,6,7}:{(339,1),(340,1),(345,1),(363,1),(430,1),(431,1),(486,1),(534,1)}
       390:{1,2,4,7}:{(340,1),(341,1),(346,1),(432,1)}
       391:{1,2,5}:{(341,1),(347,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(365,1),(417,1),(428,1),(433,1)}
       393:{1,2,4,5,7}:{(343,1),(344,1),(348,1),(366,1),(418,1),(429,1),(433,1),(434,1),(435,1),(488,1),(498,1),(529,1)}
       394:{1,3,5,7}:{(344,1),(345,1),(349,1),(367,1),(435,1)}
       395:{1,3,4,6,7}:{(345,1),(346,1),(350,1),(368,1),(420,1),(431,1),(435,1),(436,1),(437,1),(494,1),(500,1),(534,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(351,1),(421,1),(432,1),(437,1)}
       397:{3,5,7}:{(348,1),(369,1),(422,1),(438,1)}
       398:{2,4,7}:{(349,1),(352,1),(370,1),(435,1),(438,1)}
       399:{2,3,5,7}:{(350,1),(353,1),(371,1),(424,1),(436,1),(439,1),(440,1),(490,1),(529,1)}
       400:{2,3,6}:{(351,1),(354,1),(425,1),(437,1)}
       401:{1,4,5,7}:{(352,1),(353,1),(372,1),(439,1),(441,1)}
       402:{1,3,5,6}:{(353,1),(354,1),(355,1),(440,1),(441,1),(549,1),(551,1)}
       403:{2,3,4,5}:{(356,1),(360,1),(442,1),(453,1),(503,1),(509,1)}
       404:{1,4,5}:{(356,1),(357,1),(361,1)}
       405:{1,2,5}:{(357,1),(358,1)}
       406:{1,2,3,6}:{(358,1),(359,1),(444,1),(446,1)}
       407:{1,3,4,6}:{(360,1),(361,1),(365,1),(428,1),(442,1),(445,1),(446,1),(505,1),(508,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(429,1),(443,1),(445,1),(446,1)}
       409:{1,2,3,5,6}:{(362,1),(363,1),(367,1),(430,1),(444,1),(446,1),(447,1),(448,1),(450,1),(496,1),(507,1),(534,1)}
       410:{1,2,4,6}:{(363,1),(364,1),(368,1),(448,1)}
       411:{2,5,6}:{(365,1),(433,1),(445,1)}
       412:{1,3,5,6}:{(366,1),(369,1),(434,1),(446,1),(450,1),(451,1),(507,1),(534,1)}
       413:{1,4,6}:{(367,1),(370,1),(435,1),(452,1)}
       414:{1,3,5}:{(368,1),(371,1),(448,1),(452,1)}
       415:{3,4,6}:{(369,1),(370,1),(438,1),(453,1)}
       416:{2,4,5}:{(370,1),(371,1),(372,1),(452,1),(453,1)}
       417:{1,3,6,7}:{(373,1),(374,1),(392,1),(454,1)}
       418:{1,2,4,6,7}:{(374,1),(375,1),(379,1),(393,1),(454,1),(455,1),(456,1),(511,1),(518,1)}
       419:{1,3,5,6,7}:{(375,1),(376,1),(380,1),(394,1),(455,1),(456,1),(457,1),(472,1),(512,1)}
       420:{1,4,6,7}:{(376,1),(377,1),(381,1),(457,1),(458,1)}
       421:{1,4,5,7}:{(377,1),(378,1),(382,1),(396,1),(457,1),(458,1)}
       422:{3,6,7}:{(379,1),(397,1)}
       423:{2,4,6,7}:{(380,1),(383,1),(398,1),(456,1),(459,1),(460,1),(474,1)}
       424:{2,5,7}:{(381,1),(384,1),(457,1),(461,1)}
       425:{2,4,6}:{(382,1),(385,1),(400,1),(458,1),(461,1)}
       426:{1,4,5,7}:{(383,1),(384,1),(460,1),(462,1),(541,1)}
       427:{1,3,5,6}:{(384,1),(385,1),(461,1),(462,1),(514,1)}
       428:{1,3,4,7}:{(386,1),(387,1),(392,1),(407,1),(463,1),(464,1),(515,1),(519,1)}
       429:{1,2,4,7}:{(387,1),(388,1),(408,1),(463,1),(464,1)}
       430:{1,2,3,5,7}:{(388,1),(389,1),(394,1),(409,1),(464,1),(465,1),(466,1),(469,1),(517,1)}
       431:{1,2,4,6,7}:{(389,1),(390,1),(395,1),(410,1),(465,1),(466,1),(467,1),(511,1),(518,1)}
       432:{1,2,5,7}:{(390,1),(391,1),(396,1),(467,1)}
       433:{2,5,7}:{(392,1),(411,1),(454,1),(463,1)}
       434:{1,3,5,7}:{(393,1),(397,1),(412,1),(455,1),(464,1),(469,1),(470,1)}
       435:{1,4,7}:{(394,1),(398,1),(413,1)}
       436:{1,3,5,7}:{(395,1),(399,1),(414,1),(457,1),(466,1),(471,1),(472,1)}
       437:{1,3,6}:{(396,1),(400,1),(458,1),(467,1)}
       438:{3,4,7}:{(397,1),(398,1),(415,1)}
       439:{2,4,5,7}:{(398,1),(399,1),(401,1),(416,1),(471,1),(473,1),(474,1)}
       440:{2,3,5,6}:{(399,1),(400,1),(402,1),(461,1),(472,1),(474,1),(514,1),(542,1),(545,1)}
       441:{1,4,6}:{(401,1),(402,1),(474,1)}
       442:{1,3,4,5}:{(403,1),(404,1),(407,1),(475,1),(476,1),(522,1),(527,1)}
       443:{1,2,4,5}:{(404,1),(405,1),(408,1),(475,1),(476,1),(477,1)}
       444:{1,2,3,5}:{(405,1),(406,1),(476,1),(477,1)}
       445:{2,4,6}:{(407,1),(411,1),(463,1),(475,1),(479,1)}
       446:{1,3,6}:{(408,1),(464,1),(476,1),(479,1)}
       447:{1,2,4,6}:{(409,1),(413,1),(465,1),(477,1),(480,1),(481,1),(483,1)}
       448:{1,2,5}:{(410,1),(414,1)}
       449:{1,2,5,6}:{(411,1),(468,1),(478,1),(482,1),(548,1),(552,1)}
       450:{2,3,5,6}:{(411,1),(412,1),(469,1),(479,1),(482,1),(483,1),(526,1),(542,1),(545,1)}
       451:{1,3,4,6}:{(412,1),(413,1),(415,1),(470,1),(483,1),(484,1)}
       452:{1,4,5}:{(413,1),(414,1),(416,1)}
       453:{3,4,5}:{(415,1),(416,1)}
       454:{2,6,7}:{(417,1),(433,1)}
       455:{1,3,6,7}:{(418,1),(422,1),(434,1),(486,1),(534,1)}
       456:{1,4,6,7}:{(419,1),(423,1),(435,1),(488,1),(500,1)}
       457:{1,5,7}:{(420,1),(424,1),(489,1)}
       458:{1,4,6}:{(421,1),(425,1),(437,1),(489,1)}
       459:{3,4,6,7}:{(422,1),(423,1),(438,1),(490,1),(501,1)}
       460:{2,4,5,7}:{(423,1),(424,1),(426,1),(488,1),(490,1),(491,1),(529,1)}
       461:{2,5,6}:{(424,1),(425,1),(427,1),(489,1)}
       462:{1,4,5,6}:{(426,1),(427,1),(441,1),(491,1),(549,1)}
       463:{2,4,7}:{(428,1),(433,1),(445,1),(493,1)}
       464:{1,3,7}:{(429,1),(446,1),(493,1)}
       465:{1,2,4,7}:{(430,1),(435,1),(447,1),(494,1),(498,1)}
       466:{1,2,5,7}:{(431,1),(436,1),(448,1),(496,1),(529,1)}
       467:{1,2,6}:{(432,1),(437,1)}
       468:{1,2,5,7}:{(433,1),(449,1),(485,1),(492,1),(497,1)}
       469:{2,3,5,7}:{(433,1),(434,1),(450,1),(486,1),(493,1),(497,1),(498,1),(529,1)}
       470:{1,3,4,7}:{(434,1),(435,1),(438,1),(451,1),(498,1)}
       471:{1,4,5,7}:{(435,1),(436,1),(439,1),(452,1),(500,1)}
       472:{1,3,5,6}:{(436,1),(437,1),(440,1),(489,1),(496,1),(500,1),(534,1)}
       473:{3,4,5,7}:{(438,1),(439,1),(453,1),(490,1),(501,1)}
       474:{2,4,6}:{(439,1),(440,1),(441,1),(500,1),(501,1)}
       475:{2,4,5}:{(442,1),(445,1),(503,1)}
       476:{1,3,5}:{(443,1),(446,1),(503,1),(504,1)}
       477:{1,2,4}:{(444,1),(504,1)}
       478:{1,2,4,6}:{(445,1),(449,1),(492,1),(502,1),(505,1),(508,1)}
       479:{2,3,6}:{(445,1),(446,1),(493,1),(503,1),(505,1)}
       480:{1,3,4,6}:{(446,1),(447,1),(494,1),(504,1),(506,1),(507,1),(534,1)}
       481:{1,2,4,5}:{(447,1),(448,1),(452,1),(507,1),(509,1)}
       482:{1,3,5,6}:{(449,1),(450,1),(497,1),(505,1),(508,1),(540,1),(549,1),(551,1)}
       483:{2,4,6}:{(450,1),(451,1),(498,1),(508,1),(509,1)}
       484:{1,3,4,5}:{(451,1),(452,1),(453,1),(507,1),(509,1)}
       485:{1,2,6,7}:{(454,1),(468,1),(510,1),(552,1)}
       486:{2,3,6,7}:{(454,1),(455,1),(469,1),(510,1),(511,1),(545,1)}
       487:{1,3,4,6,7}:{(455,1),(456,1),(459,1),(470,1),(511,1),(512,1),(521,1)}
       488:{1,4,5,7}:{(456,1),(457,1),(460,1),(512,1),(513,1)}
       489:{1,5,6}:{(457,1),(458,1),(461,1)}
       490:{3,5,7}:{(459,1),(460,1),(514,1)}
       491:{2,4,5,6}:{(460,1),(461,1),(462,1),(474,1),(513,1),(514,1),(542,1)}
       492:{1,2,4,7}:{(463,1),(468,1),(478,1),(515,1),(519,1)}
       493:{2,3,7}:{(463,1),(464,1),(479,1),(515,1)}
       494:{1,3,4,7}:{(464,1),(465,1),(480,1),(516,1),(517,1)}
       495:{1,2,4,5,7}:{(465,1),(466,1),(471,1),(481,1),(517,1),(518,1),(520,1)}
       496:{1,2,5,6}:{(466,1),(467,1),(472,1),(518,1),(542,1)}
       497:{1,3,5,7}:{(468,1),(469,1),(482,1),(510,1),(515,1),(519,1),(541,1)}
       498:{2,4,7}:{(469,1),(470,1),(483,1),(519,1)}
       499:{1,3,4,5,7}:{(470,1),(471,1),(473,1),(484,1),(512,1),(517,1),(520,1),(521,1)}
       500:{1,4,6}:{(471,1),(472,1),(474,1)}
       501:{3,4,6}:{(473,1),(474,1),(514,1)}
       502:{1,2,4,5}:{(475,1),(478,1),(522,1),(527,1),(547,1),(548,1)}
       503:{2,3,5}:{(475,1),(476,1),(479,1),(522,1),(523,1)}
       504:{1,3,4}:{(476,1),(477,1),(523,1)}
       505:{1,3,6}:{(478,1),(479,1),(515,1),(522,1)}
       506:{2,3,4,6}:{(479,1),(480,1),(483,1),(516,1),(523,1),(525,1),(526,1),(545,1)}
       507:{1,3,5}:{(480,1),(481,1),(526,1)}
       508:{1,4,6}:{(482,1),(483,1),(519,1),(527,1)}
       509:{2,4,5}:{(483,1),(484,1),(526,1),(527,1)}
       510:{1,3,6,7}:{(485,1),(486,1),(497,1),(528,1),(551,1)}
       511:{2,4,6,7}:{(486,1),(487,1),(498,1),(528,1),(529,1),(536,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(490,1),(529,1),(530,1)}
       513:{1,4,5,6}:{(488,1),(489,1),(491,1),(500,1),(530,1)}
       514:{3,5,6}:{(490,1),(491,1),(501,1)}
       515:{1,3,7}:{(492,1),(493,1),(505,1)}
       516:{2,3,4,7}:{(493,1),(494,1),(498,1),(506,1),(532,1),(533,1)}
       517:{1,3,5,7}:{(494,1),(495,1),(507,1),(533,1),(534,1)}
       518:{1,2,4,6}:{(495,1),(496,1),(500,1),(534,1),(536,1)}
       519:{1,4,7}:{(497,1),(498,1),(508,1)}
       520:{2,4,5,7}:{(498,1),(499,1),(509,1),(529,1),(533,1),(535,1),(536,1)}
       521:{1,3,4,6}:{(499,1),(500,1),(501,1),(530,1),(534,1),(536,1)}
       522:{1,3,5}:{(502,1),(503,1),(505,1),(538,1)}
       523:{2,3,4}:{(503,1),(504,1),(538,1)}
       524:{1,2,3,6}:{(505,1),(531,1),(537,1),(539,1)}
       525:{1,3,4,6}:{(505,1),(506,1),(508,1),(532,1),(538,1),(539,1),(540,1),(551,1)}
       526:{2,3,5}:{(506,1),(507,1),(509,1),(540,1)}
       527:{1,4,5}:{(508,1),(509,1),(540,1)}
       528:{1,4,6,7}:{(510,1),(511,1),(519,1),(541,1),(546,1)}
       529:{2,5,7}:{(511,1),(512,1),(541,1),(542,1)}
       530:{1,3,5,6}:{(512,1),(513,1),(514,1),(521,1),(542,1)}
       531:{1,2,3,7}:{(515,1),(524,1),(543,1)}
       532:{1,3,4,7}:{(515,1),(516,1),(519,1),(525,1),(543,1),(544,1)}
       533:{2,3,5,7}:{(516,1),(517,1),(520,1),(526,1),(544,1),(545,1)}
       534:{1,3,6}:{(517,1),(518,1),(545,1)}
       535:{1,4,5,7}:{(519,1),(520,1),(527,1),(541,1),(544,1),(546,1)}
       536:{2,4,6}:{(520,1),(521,1),(542,1),(545,1),(546,1)}
       537:{1,2,3,5}:{(522,1),(524,1),(547,1),(548,1)}
       538:{1,3,4}:{(522,1),(523,1),(547,1)}
       539:{1,2,4,6}:{(524,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       540:{1,3,5}:{(525,1),(526,1),(527,1),(548,1)}
       541:{1,5,7}:{(528,1),(529,1),(549,1)}
       542:{2,5,6}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,7}:{(531,1),(532,1),(539,1),(550,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(535,1),(540,1),(550,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(536,1),(551,1)}
       546:{1,4,6}:{(535,1),(536,1),(549,1),(551,1)}
       547:{1,2,4}:{(537,1),(538,1)}
       548:{1,2,5}:{(539,1),(540,1)}
       549:{1,5,6}:{(541,1),(542,1),(546,1)}
       550:{1,2,5,7}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,3,6}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1141 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(18,1),(19,1),(96,1),(155,1),(215,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(18,1),(24,1),(51,1),(53,1),(60,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(34,1),(141,1),(242,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(124,1),(185,1),(192,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(31,1),(38,1),(78,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(39,1),(77,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(15,1),(16,1),(55,1),(60,1),(110,1),(155,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(111,1),(160,1)}
         8:{1,2,5,6}:{(3,1),(17,1),(19,1),(22,1),(105,1),(116,1),(176,1),(222,1),(225,1)}
         9:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(52,1),(54,1),(64,1),(105,1),(111,1),(115,1),(164,1),(215,1),(225,1),(227,1),(273,1)}
        10:{1,4,6,7}:{(4,1),(15,1),(21,1),(49,1),(57,1),(106,1)}
        11:{2,5,7}:{(4,1),(5,1),(21,1),(22,1),(105,1)}
        12:{1,3,5,6}:{(5,1),(22,1),(24,1),(60,1)}
        13:{1,4,5,7}:{(5,1),(18,1),(23,1),(24,1),(52,1),(111,1)}
        14:{1,3,5,6,7}:{(12,1),(26,1),(27,1),(67,1),(68,1),(246,1)}
        15:{1,3,6,7}:{(6,1),(10,1),(28,1),(29,1),(80,1),(83,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(11,1),(29,1),(30,1),(31,1),(39,1),(84,1),(128,1),(185,1),(242,1)}
        17:{1,3,5,6}:{(7,1),(8,1),(30,1),(32,1),(34,1),(77,1),(141,1),(191,1),(194,1),(252,1)}
        18:{1,4,7}:{(7,1),(31,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(38,1),(78,1),(89,1),(141,1),(145,1),(206,1)}
        20:{1,3,5,7}:{(9,1),(33,1),(34,1),(35,1),(39,1),(77,1),(196,1),(242,1),(252,1),(253,1)}
        21:{1,5,7}:{(10,1),(11,1),(36,1),(136,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,4,5,7}:{(11,1),(13,1),(31,1),(37,1),(38,1),(39,1),(74,1),(84,1)}
        24:{1,4,6}:{(12,1),(13,1),(38,1),(141,1)}
        25:{1,3,4,5,7}:{(13,1),(33,1),(39,1),(41,1),(42,1),(68,1),(77,1),(87,1),(121,1),(132,1),(149,1),(184,1),(197,1),(210,1),(242,1),(245,1),(253,1),(285,1)}
        26:{2,5,6,7}:{(14,1),(22,1),(43,1),(44,1),(95,1),(267,1)}
        27:{1,4,6,7}:{(14,1),(24,1),(44,1),(45,1),(152,1),(268,1)}
        28:{1,2,6,7}:{(15,1),(47,1),(108,1),(110,1),(152,1),(155,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(21,1),(47,1),(48,1),(49,1),(98,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(22,1),(48,1),(50,1),(55,1),(60,1),(102,1),(105,1),(110,1),(159,1),(162,1),(176,1),(228,1),(234,1)}
        31:{2,4,7}:{(16,1),(18,1),(49,1),(50,1),(51,1)}
        32:{1,4,6}:{(17,1),(18,1),(50,1),(52,1),(273,1)}
        33:{1,3,4,7}:{(18,1),(20,1),(51,1),(53,1),(54,1),(273,1),(274,1)}
        34:{1,3,6}:{(19,1),(20,1),(55,1),(60,1),(234,1)}
        35:{2,3,5,7}:{(20,1),(54,1),(55,1),(56,1),(105,1),(115,1),(168,1),(228,1)}
        36:{1,5,6}:{(21,1),(22,1),(57,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(49,1),(57,1),(58,1),(99,1)}
        38:{2,4,6}:{(22,1),(23,1),(24,1),(57,1),(60,1),(110,1)}
        39:{3,5,7}:{(23,1),(51,1),(60,1),(102,1)}
        40:{1,4,5,6}:{(24,1),(45,1),(52,1),(59,1),(62,1),(172,1),(175,1),(237,1),(268,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(60,1),(62,1),(63,1),(112,1),(114,1),(175,1),(234,1),(268,1),(299,1)}
        42:{2,4,5,7}:{(25,1),(54,1),(61,1),(63,1),(64,1),(95,1),(105,1),(115,1),(153,1),(165,1),(178,1),(215,1),(227,1),(236,1)}
        43:{1,5,6,7}:{(26,1),(36,1),(65,1),(124,1),(284,1)}
        44:{2,4,6,7}:{(26,1),(27,1),(38,1),(65,1),(66,1),(67,1),(120,1),(286,1)}
        45:{1,4,5,7}:{(27,1),(40,1),(66,1),(68,1),(182,1),(184,1)}
        46:{1,3,4,6,7}:{(27,1),(41,1),(67,1),(68,1),(69,1),(121,1),(123,1),(184,1),(242,1)}
        47:{1,2,5,7}:{(28,1),(29,1),(70,1),(71,1),(84,1),(182,1),(185,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(36,1),(70,1),(72,1),(80,1),(83,1),(127,1),(129,1),(136,1),(200,1)}
        49:{1,4,7}:{(29,1),(31,1),(72,1)}
        50:{2,4,6}:{(30,1),(31,1),(32,1),(72,1),(74,1),(75,1),(254,1)}
        51:{3,4,7}:{(31,1),(39,1),(75,1),(242,1)}
        52:{1,4,5}:{(32,1),(74,1),(77,1),(194,1)}
        53:{1,3,4,6}:{(32,1),(33,1),(34,1),(75,1),(77,1),(78,1)}
        54:{2,4,7}:{(33,1),(35,1),(78,1),(79,1),(254,1)}
        55:{2,3,6}:{(34,1),(35,1),(78,1),(80,1),(145,1)}
        56:{1,3,5,7}:{(35,1),(79,1),(80,1),(81,1),(136,1),(138,1),(200,1)}
        57:{1,4,6}:{(36,1),(37,1),(38,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(39,1),(73,1),(83,1),(84,1),(129,1)}
        59:{2,4,5,6}:{(38,1),(40,1),(66,1),(74,1),(82,1),(85,1),(88,1),(140,1),(143,1),(206,1),(260,1),(286,1)}
        60:{3,6}:{(38,1),(39,1)}
        61:{2,3,5,7}:{(39,1),(42,1),(76,1),(84,1),(86,1),(87,1),(133,1),(242,1),(253,1),(285,1),(307,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(68,1),(77,1),(85,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(86,1),(88,1),(89,1),(145,1)}
        64:{1,4,5,7}:{(42,1),(79,1),(87,1),(89,1),(124,1),(136,1),(184,1),(197,1),(205,1),(258,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(57,1),(91,1),(92,1),(298,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(59,1),(91,1),(93,1),(95,1),(151,1),(153,1),(215,1)}
        67:{3,6,7}:{(44,1),(60,1),(93,1),(299,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(62,1),(93,1),(95,1)}
        69:{2,4,6,7}:{(46,1),(63,1),(94,1),(95,1),(96,1),(153,1),(155,1),(215,1)}
        70:{1,2,5,6}:{(47,1),(48,1),(97,1),(108,1),(110,1),(162,1),(169,1),(172,1),(176,1)}
        71:{1,2,4,7}:{(47,1),(49,1),(97,1),(98,1),(101,1),(212,1),(215,1),(261,1)}
        72:{1,4,6}:{(48,1),(49,1),(50,1),(99,1),(229,1)}
        73:{1,3,4,7}:{(49,1),(51,1),(58,1),(98,1),(100,1),(101,1)}
        74:{2,4,5}:{(50,1),(52,1),(99,1),(102,1),(105,1),(162,1)}
        75:{3,4,6}:{(50,1),(51,1),(60,1),(102,1),(234,1),(274,1)}
        76:{2,3,4,7}:{(51,1),(54,1),(61,1),(101,1),(103,1),(104,1),(153,1),(168,1),(178,1),(211,1),(265,1),(274,1),(296,1)}
        77:{1,3,5}:{(52,1),(53,1),(102,1),(105,1)}
        78:{2,4,6}:{(53,1),(54,1),(55,1),(105,1),(106,1)}
        79:{1,4,7}:{(54,1),(56,1),(106,1),(229,1)}
        80:{1,3,6}:{(55,1),(56,1),(106,1),(108,1)}
        81:{1,2,5,7}:{(56,1),(107,1),(108,1),(115,1),(169,1),(312,1)}
        82:{1,4,5,6}:{(57,1),(59,1),(91,1),(99,1),(109,1),(116,1),(175,1),(278,1),(298,1)}
        83:{1,3,6}:{(57,1),(58,1),(60,1),(110,1)}
        84:{2,5,7}:{(58,1),(101,1),(110,1),(111,1),(162,1)}
        85:{3,5,6}:{(59,1),(60,1),(93,1),(102,1),(112,1),(234,1),(279,1),(299,1)}
        86:{2,3,6}:{(60,1),(61,1),(63,1),(110,1),(114,1),(234,1),(299,1),(313,1)}
        87:{1,3,5,7}:{(61,1),(64,1),(104,1),(111,1),(114,1),(115,1),(166,1),(312,1)}
        88:{2,5,6}:{(62,1),(63,1),(95,1),(105,1),(116,1),(236,1)}
        89:{1,4,6}:{(63,1),(64,1),(114,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(107,1),(115,1),(117,1),(118,1),(156,1),(169,1),(178,1),(215,1),(218,1),(227,1),(229,1),(236,1),(237,1),(266,1),(312,1)}
        91:{1,4,5,7}:{(65,1),(66,1),(82,1),(119,1),(124,1),(184,1)}
        92:{1,3,6,7}:{(65,1),(67,1),(83,1),(119,1),(120,1),(308,1)}
        93:{3,5,7}:{(66,1),(67,1),(85,1),(121,1),(242,1)}
        94:{2,3,6,7}:{(67,1),(69,1),(86,1),(120,1),(122,1),(123,1),(242,1)}
        95:{2,5,7}:{(68,1),(69,1),(88,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(89,1),(123,1),(124,1),(184,1)}
        97:{1,2,4,6}:{(70,1),(71,1),(72,1),(126,1),(127,1),(130,1),(202,1),(206,1),(255,1)}
        98:{1,3,7}:{(71,1),(127,1),(128,1),(242,1)}
        99:{1,4,5}:{(72,1),(74,1),(129,1),(136,1)}
       100:{1,3,4,6}:{(72,1),(73,1),(75,1),(83,1),(127,1),(129,1),(130,1),(189,1)}
       101:{2,4,7}:{(73,1),(84,1),(128,1),(130,1),(131,1)}
       102:{3,5}:{(74,1),(75,1)}
       103:{2,3,4,6}:{(75,1),(76,1),(78,1),(86,1),(130,1),(133,1),(134,1),(143,1),(199,1),(201,1),(208,1),(247,1),(254,1),(259,1),(293,1)}
       104:{1,3,4,7}:{(76,1),(79,1),(87,1),(131,1),(134,1),(135,1),(138,1),(184,1),(196,1),(205,1),(238,1),(242,1),(306,1)}
       105:{2,5}:{(77,1),(78,1),(136,1)}
       106:{1,4,6}:{(78,1),(79,1),(80,1),(136,1)}
       107:{1,2,4,7}:{(79,1),(81,1),(135,1),(137,1),(138,1),(280,1),(306,1)}
       108:{1,2,6}:{(80,1),(81,1),(145,1),(314,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(85,1),(119,1),(129,1),(139,1),(140,1),(294,1),(308,1)}
       110:{2,6}:{(83,1),(84,1),(141,1)}
       111:{1,5,7}:{(84,1),(131,1),(141,1),(194,1)}
       112:{3,4,6}:{(85,1),(121,1),(132,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(122,1),(133,1),(140,1),(143,1),(144,1),(201,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(141,1),(145,1),(314,1)}
       115:{2,5,7}:{(87,1),(135,1),(145,1),(198,1)}
       116:{1,5,6}:{(88,1),(89,1),(124,1),(136,1),(258,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(206,1),(208,1),(209,1),(286,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(138,1),(146,1),(148,1),(149,1),(200,1),(210,1),(242,1),(253,1),(285,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(109,1),(150,1),(151,1)}
       120:{2,6,7}:{(92,1),(110,1),(151,1),(152,1),(313,1)}
       121:{3,4,7}:{(93,1),(112,1),(153,1)}
       122:{2,3,5,7}:{(93,1),(94,1),(95,1),(113,1),(151,1),(153,1),(154,1),(211,1)}
       123:{1,3,6,7}:{(94,1),(96,1),(114,1),(152,1),(154,1),(155,1)}
       124:{1,5,7}:{(95,1),(96,1),(116,1)}
       125:{1,2,4,6,7}:{(96,1),(117,1),(155,1),(156,1),(157,1),(215,1),(217,1),(218,1)}
       126:{1,2,4,5}:{(97,1),(99,1),(158,1),(162,1),(169,1),(220,1),(224,1),(227,1),(229,1),(271,1),(300,1)}
       127:{1,3,6}:{(97,1),(98,1),(158,1),(159,1),(234,1)}
       128:{2,3,7}:{(98,1),(101,1),(159,1),(160,1),(261,1)}
       129:{1,3,5}:{(99,1),(100,1),(102,1),(162,1)}
       130:{2,4,6}:{(100,1),(101,1),(110,1),(159,1),(162,1),(163,1),(220,1)}
       131:{1,4,7}:{(101,1),(111,1),(160,1),(163,1)}
       132:{3,4,5}:{(102,1),(112,1),(165,1),(274,1),(279,1)}
       133:{2,3,5}:{(102,1),(103,1),(105,1),(162,1),(165,1),(166,1),(236,1),(279,1),(305,1)}
       134:{1,3,4,6}:{(103,1),(104,1),(106,1),(114,1),(163,1),(166,1),(167,1),(170,1),(175,1),(226,1),(229,1),(230,1),(233,1),(234,1),(269,1),(273,1),(274,1),(304,1)}
       135:{2,4,7}:{(104,1),(115,1),(167,1),(168,1),(261,1)}
       136:{1,5}:{(105,1),(106,1)}
       137:{1,2,4,6}:{(106,1),(107,1),(108,1),(167,1),(169,1),(170,1),(229,1),(275,1),(300,1),(304,1)}
       138:{1,3,7}:{(107,1),(168,1),(170,1)}
       139:{1,3,4,6}:{(109,1),(112,1),(150,1),(161,1),(171,1),(175,1),(230,1),(234,1)}
       140:{2,5,6}:{(109,1),(110,1),(151,1),(162,1),(171,1),(172,1),(305,1),(313,1)}
       141:{1,6}:{(110,1),(111,1)}
       142:{1,2,5,7}:{(111,1),(115,1),(164,1),(173,1),(174,1),(225,1)}
       143:{2,4,6}:{(112,1),(113,1),(153,1),(165,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(154,1),(166,1),(172,1),(175,1),(176,1),(230,1),(234,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,3,5,7}:{(115,1),(118,1),(168,1),(174,1),(177,1),(178,1),(228,1),(236,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(156,1),(169,1),(176,1),(179,1),(236,1),(267,1),(275,1)}
       148:{1,3,6}:{(117,1),(118,1),(177,1),(234,1),(299,1)}
       149:{1,3,4,7}:{(118,1),(178,1),(180,1),(218,1),(229,1),(265,1),(274,1)}
       150:{1,3,4,7}:{(119,1),(121,1),(139,1),(181,1),(184,1),(238,1),(242,1)}
       151:{2,5,7}:{(119,1),(120,1),(140,1),(181,1),(182,1)}
       152:{1,6,7}:{(120,1),(141,1),(182,1),(314,1)}
       153:{2,4,7}:{(121,1),(122,1),(143,1),(184,1)}
       154:{1,3,5,7}:{(122,1),(123,1),(124,1),(144,1),(182,1),(184,1),(185,1),(238,1),(242,1)}
       155:{2,6,7}:{(123,1),(145,1),(185,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(147,1),(185,1),(187,1),(244,1),(280,1)}
       157:{1,3,6,7}:{(125,1),(148,1),(186,1),(187,1),(242,1),(314,1)}
       158:{1,3,5}:{(126,1),(127,1),(189,1),(190,1),(253,1),(309,1)}
       159:{2,3,6}:{(127,1),(128,1),(130,1),(190,1),(191,1),(255,1)}
       160:{1,3,7}:{(128,1),(131,1),(191,1),(192,1)}
       161:{1,3,4,5}:{(129,1),(132,1),(139,1),(189,1),(193,1),(197,1),(250,1),(253,1),(291,1),(294,1)}
       162:{2,5}:{(129,1),(130,1),(194,1)}
       163:{1,4,6}:{(130,1),(131,1),(141,1),(191,1),(194,1),(248,1)}
       164:{1,2,4,7}:{(131,1),(135,1),(142,1),(192,1),(195,1),(196,1),(205,1)}
       165:{2,4,5}:{(132,1),(133,1),(143,1),(197,1),(254,1)}
       166:{1,3,5}:{(133,1),(134,1),(136,1),(194,1),(197,1),(198,1),(253,1),(258,1),(311,1)}
       167:{2,4,6}:{(134,1),(135,1),(145,1),(198,1),(199,1),(254,1),(255,1),(287,1)}
       168:{2,3,7}:{(135,1),(138,1),(196,1),(199,1),(242,1)}
       169:{1,2,5}:{(136,1),(137,1),(198,1),(200,1),(311,1)}
       170:{1,3,6}:{(137,1),(138,1),(199,1),(200,1),(309,1)}
       171:{2,4,6}:{(139,1),(140,1),(181,1),(193,1),(201,1),(202,1),(255,1)}
       172:{1,5,6}:{(140,1),(141,1),(182,1),(194,1),(202,1),(311,1),(314,1)}
       173:{1,2,6}:{(141,1),(142,1),(145,1),(204,1)}
       174:{1,3,5,7}:{(142,1),(146,1),(196,1),(204,1),(205,1),(252,1),(258,1)}
       175:{1,4,6}:{(143,1),(144,1),(184,1),(197,1),(206,1)}
       176:{2,5,6}:{(144,1),(145,1),(185,1),(198,1),(206,1),(255,1)}
       177:{2,3,6}:{(145,1),(146,1),(148,1),(204,1),(208,1)}
       178:{2,4,7}:{(146,1),(149,1),(205,1),(208,1),(254,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(187,1),(200,1),(207,1),(209,1),(210,1),(292,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(208,1),(209,1),(210,1),(259,1)}
       181:{2,4,7}:{(150,1),(151,1),(171,1),(211,1),(212,1),(261,1)}
       182:{1,5,7}:{(151,1),(152,1),(172,1),(212,1)}
       183:{1,2,6,7}:{(152,1),(155,1),(173,1),(213,1),(214,1),(313,1)}
       184:{1,4,7}:{(153,1),(154,1),(175,1),(215,1)}
       185:{2,5,7}:{(154,1),(155,1),(176,1),(215,1),(261,1)}
       186:{2,3,6,7}:{(155,1),(157,1),(177,1),(214,1),(216,1),(217,1),(299,1),(313,1)}
       187:{1,3,5,7}:{(156,1),(157,1),(179,1),(216,1),(218,1),(295,1),(312,1)}
       188:{1,3,4,6,7}:{(157,1),(180,1),(217,1),(218,1),(219,1),(265,1),(268,1),(299,1)}
       189:{1,3,4}:{(158,1),(220,1),(229,1),(274,1)}
       190:{2,3,5}:{(158,1),(159,1),(162,1),(220,1),(221,1),(271,1),(301,1)}
       191:{1,3,6}:{(159,1),(160,1),(163,1),(221,1),(222,1)}
       192:{1,2,7}:{(160,1),(222,1),(261,1)}
       193:{2,4,5}:{(161,1),(162,1),(171,1),(220,1),(223,1),(224,1),(271,1),(303,1),(305,1)}
       194:{1,5}:{(162,1),(163,1)}
       195:{1,2,4,6}:{(163,1),(164,1),(167,1),(173,1),(222,1),(225,1),(226,1),(233,1),(270,1),(273,1)}
       196:{1,3,7}:{(164,1),(168,1),(226,1)}
       197:{1,4,5}:{(165,1),(166,1),(175,1),(227,1),(229,1),(273,1)}
       198:{2,5}:{(166,1),(167,1)}
       199:{2,3,6}:{(167,1),(168,1),(170,1),(226,1),(228,1),(234,1),(301,1)}
       200:{1,3,5}:{(169,1),(170,1),(228,1),(229,1)}
       201:{2,3,6}:{(171,1),(211,1),(223,1),(230,1),(234,1)}
       202:{1,4,6}:{(171,1),(172,1),(212,1),(224,1),(230,1)}
       203:{1,2,5,6}:{(172,1),(173,1),(176,1),(213,1),(225,1),(231,1),(232,1),(305,1),(313,1)}
       204:{1,3,6}:{(173,1),(174,1),(177,1),(233,1)}
       205:{1,4,7}:{(174,1),(178,1),(233,1),(273,1)}
       206:{2,4,6}:{(175,1),(176,1),(215,1),(227,1),(234,1)}
       207:{2,3,5,6}:{(176,1),(177,1),(179,1),(216,1),(228,1),(232,1),(234,1),(235,1),(236,1),(267,1),(276,1),(279,1),(299,1),(305,1),(313,1)}
       208:{2,4,6}:{(177,1),(178,1),(180,1),(233,1),(236,1)}
       209:{1,4,6}:{(179,1),(218,1),(229,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(236,1),(237,1),(279,1)}
       211:{2,3,7}:{(181,1),(201,1),(238,1),(242,1)}
       212:{1,4,7}:{(181,1),(182,1),(202,1),(238,1)}
       213:{1,2,5,7}:{(182,1),(183,1),(185,1),(203,1),(239,1),(240,1),(307,1)}
       214:{1,3,6,7}:{(183,1),(186,1),(204,1),(240,1),(241,1),(308,1)}
       215:{2,4,7}:{(184,1),(185,1),(206,1),(242,1)}
       216:{2,3,5,7}:{(185,1),(186,1),(187,1),(207,1),(240,1),(242,1),(243,1),(244,1),(281,1),(285,1),(307,1)}
       217:{2,4,6,7}:{(186,1),(188,1),(208,1),(241,1),(243,1),(244,1),(286,1)}
       218:{1,4,7}:{(187,1),(209,1),(243,1)}
       219:{1,3,5,7}:{(188,1),(210,1),(244,1),(245,1),(246,1),(285,1)}
       220:{2,4}:{(189,1),(190,1),(248,1)}
       221:{1,3,5}:{(190,1),(191,1),(194,1),(248,1),(249,1),(288,1)}
       222:{1,2,6}:{(191,1),(192,1),(249,1),(255,1)}
       223:{2,3,5}:{(193,1),(201,1),(247,1),(250,1),(253,1)}
       224:{1,4,5}:{(193,1),(194,1),(202,1),(248,1),(250,1),(310,1),(311,1)}
       225:{1,2,5}:{(194,1),(195,1),(198,1),(252,1),(258,1)}
       226:{1,3,6}:{(195,1),(196,1),(199,1),(252,1),(288,1)}
       227:{2,4,5}:{(197,1),(198,1),(206,1),(253,1),(254,1)}
       228:{2,3,5}:{(198,1),(199,1),(200,1),(252,1),(253,1),(254,1)}
       229:{1,4}:{(200,1),(254,1)}
       230:{1,3,6}:{(201,1),(202,1),(238,1),(250,1),(255,1)}
       231:{1,2,4,6}:{(202,1),(203,1),(206,1),(239,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,3,5,6}:{(203,1),(204,1),(207,1),(240,1),(252,1),(256,1),(257,1),(258,1),(284,1),(294,1),(308,1)}
       233:{1,4,6}:{(204,1),(205,1),(208,1),(258,1)}
       234:{3,6}:{(206,1),(242,1),(253,1)}
       235:{2,4,6}:{(207,1),(209,1),(243,1),(254,1),(257,1),(259,1),(260,1)}
       236:{2,5}:{(208,1),(210,1),(258,1)}
       237:{1,4,5}:{(209,1),(210,1),(260,1),(311,1)}
       238:{1,3,7}:{(211,1),(212,1),(230,1),(261,1)}
       239:{1,2,4,7}:{(212,1),(213,1),(215,1),(231,1),(261,1),(262,1),(263,1),(296,1)}
       240:{1,3,5,7}:{(213,1),(214,1),(216,1),(232,1),(262,1),(263,1),(264,1)}
       241:{1,4,6,7}:{(214,1),(217,1),(233,1),(263,1),(264,1),(298,1)}
       242:{3,7}:{(215,1),(234,1)}
       243:{2,4,7}:{(216,1),(218,1),(235,1),(263,1),(265,1)}
       244:{2,5,7}:{(217,1),(219,1),(236,1),(264,1),(267,1)}
       245:{1,4,5,7}:{(218,1),(219,1),(237,1),(266,1),(268,1),(312,1)}
       246:{1,3,5,6}:{(219,1),(267,1),(268,1),(299,1)}
       247:{2,3,4}:{(220,1),(223,1),(269,1),(274,1),(301,1),(303,1)}
       248:{1,4}:{(220,1),(221,1)}
       249:{1,2,5}:{(221,1),(222,1),(270,1),(271,1)}
       250:{1,3,5}:{(223,1),(224,1),(230,1),(269,1),(271,1)}
       251:{1,2,4,5}:{(224,1),(225,1),(227,1),(231,1),(270,1),(271,1),(272,1),(273,1),(278,1),(303,1),(305,1)}
       252:{1,3,5}:{(225,1),(226,1),(228,1),(273,1)}
       253:{3,5}:{(227,1),(234,1),(274,1)}
       254:{2,4}:{(228,1),(229,1),(273,1),(274,1)}
       255:{2,6}:{(230,1),(261,1),(271,1)}
       256:{1,3,6}:{(231,1),(234,1),(262,1),(272,1),(276,1)}
       257:{1,4,6}:{(232,1),(235,1),(263,1),(273,1),(278,1)}
       258:{1,5}:{(233,1),(236,1)}
       259:{3,4,6}:{(234,1),(235,1),(265,1),(274,1),(279,1),(299,1)}
       260:{2,4,5}:{(235,1),(236,1),(237,1),(278,1),(279,1),(305,1)}
       261:{2,7}:{(238,1),(255,1)}
       262:{1,3,7}:{(239,1),(242,1),(256,1),(281,1)}
       263:{1,4,7}:{(240,1),(243,1),(257,1)}
       264:{1,5,7}:{(241,1),(244,1),(258,1),(284,1)}
       265:{3,4,7}:{(242,1),(243,1),(259,1),(285,1)}
       266:{2,4,5,7}:{(243,1),(244,1),(245,1),(260,1),(283,1),(285,1),(286,1),(307,1)}
       267:{2,5,6}:{(244,1),(246,1),(284,1),(286,1)}
       268:{1,4,6}:{(245,1),(246,1),(286,1),(314,1)}
       269:{1,3,4}:{(247,1),(248,1),(250,1),(287,1),(288,1),(309,1),(310,1)}
       270:{1,2,4}:{(248,1),(249,1),(287,1),(288,1)}
       271:{2,5}:{(250,1),(255,1),(287,1)}
       272:{1,3,5}:{(251,1),(253,1),(256,1),(288,1),(290,1),(291,1)}
       273:{1,4}:{(252,1),(254,1)}
       274:{3,4}:{(253,1),(254,1)}
       275:{1,2,6}:{(255,1),(280,1),(289,1),(292,1)}
       276:{2,3,6}:{(255,1),(256,1),(281,1),(290,1),(292,1),(293,1)}
       277:{1,3,4,6}:{(256,1),(257,1),(259,1),(282,1),(291,1),(293,1),(294,1),(308,1)}
       278:{1,4,5}:{(257,1),(258,1),(260,1),(294,1)}
       279:{3,5}:{(259,1),(260,1)}
       280:{1,2,7}:{(261,1),(275,1),(295,1)}
       281:{2,3,7}:{(261,1),(262,1),(276,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(277,1),(296,1),(297,1)}
       283:{1,4,5,7}:{(263,1),(264,1),(266,1),(278,1),(297,1),(298,1)}
       284:{1,5,6}:{(264,1),(267,1),(298,1)}
       285:{3,5,7}:{(265,1),(266,1),(279,1),(299,1)}
       286:{2,4,6}:{(266,1),(267,1),(268,1),(298,1),(299,1),(313,1)}
       287:{2,4}:{(269,1),(271,1),(301,1)}
       288:{1,3}:{(270,1),(301,1)}
       289:{1,2,5}:{(271,1),(275,1),(300,1),(302,1)}
       290:{2,3,5}:{(271,1),(272,1),(276,1),(301,1),(302,1),(303,1),(305,1)}
       291:{1,3,4}:{(272,1),(273,1),(274,1),(303,1)}
       292:{1,3,6}:{(275,1),(276,1),(295,1),(302,1),(304,1)}
       293:{2,4,6}:{(276,1),(277,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       294:{1,3,5}:{(277,1),(278,1),(279,1),(305,1)}
       295:{1,3,7}:{(280,1),(281,1),(292,1),(306,1)}
       296:{2,4,7}:{(281,1),(282,1),(293,1),(306,1),(307,1)}
       297:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(307,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(286,1),(308,1)}
       299:{3,6}:{(285,1),(286,1)}
       300:{1,2,4}:{(287,1),(289,1),(309,1),(310,1)}
       301:{2,3}:{(287,1),(288,1),(309,1)}
       302:{1,3,5}:{(289,1),(290,1),(292,1),(309,1),(310,1),(311,1)}
       303:{2,4}:{(290,1),(291,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(306,1),(310,1),(311,1),(314,1)}
       305:{2,5}:{(293,1),(294,1),(311,1)}
       306:{1,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(305,1),(312,1),(313,1)}
       308:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       309:{1,3}:{(300,1),(301,1)}
       310:{1,4}:{(302,1),(303,1)}
       311:{1,5}:{(304,1),(305,1)}
       312:{1,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1142 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(39,1),(44,1),(79,1),(85,1),(86,1),(88,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(23,1),(28,1),(33,1),(60,1),(64,1),(66,1),(72,1),(100,1),(102,1),(108,1),(111,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(58,1),(99,1),(106,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(123,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(121,1),(122,1),(134,1),(154,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(125,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(121,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(6,1),(21,1),(22,1),(58,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(4,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(23,1),(25,1),(66,1),(74,1),(104,1),(139,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(140,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(60,1),(71,1),(101,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(58,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(143,1),(149,1),(163,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(142,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(14,1),(36,1),(37,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(16,1),(37,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(12,1),(40,1),(82,1),(95,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1),(121,1),(134,1),(153,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(40,1),(43,1),(44,1),(46,1),(153,1),(169,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(78,1),(81,1),(89,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(38,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(125,1),(154,1),(170,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,5,6,7}:{(21,1),(26,1),(55,1),(99,1),(139,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(55,1),(56,1)}
        38:{2,4,5,7}:{(22,1),(30,1),(56,1),(58,1),(99,1),(162,1)}
        39:{3,4,6,7}:{(22,1),(31,1),(58,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(60,1)}
        41:{1,2,5,6}:{(24,1),(26,1),(59,1),(61,1),(113,1),(117,1),(140,1),(149,1),(150,1)}
        42:{1,2,4,5,7}:{(24,1),(27,1),(60,1),(61,1),(62,1),(70,1),(101,1),(103,1),(112,1),(116,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(59,1),(63,1),(66,1),(74,1),(104,1),(106,1),(114,1),(140,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(60,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(56,1),(65,1),(68,1),(71,1),(101,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(103,1),(112,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(58,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{2,4,6,7}:{(36,1),(37,1),(45,1),(76,1),(77,1)}
        56:{1,4,5,7}:{(37,1),(38,1),(47,1),(76,1),(78,1),(121,1),(152,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(48,1),(77,1),(78,1),(79,1),(118,1),(120,1),(152,1),(169,1)}
        58:{3,5,7}:{(38,1),(39,1),(50,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(43,1),(80,1),(82,1),(95,1),(122,1),(134,1),(161,1)}
        60:{1,4,7}:{(40,1),(44,1),(80,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(45,1),(80,1),(82,1),(91,1),(123,1),(133,1),(160,1)}
        62:{1,3,5,7}:{(42,1),(46,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(80,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(169,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(76,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(169,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(78,1),(87,1),(90,1),(92,1),(122,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(121,1),(124,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(56,1),(65,1),(97,1),(99,1),(137,1)}
        77:{3,6,7}:{(55,1),(66,1),(97,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(58,1),(68,1),(97,1),(99,1)}
        79:{2,4,6,7}:{(57,1),(69,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(60,1),(63,1),(101,1),(168,1)}
        81:{1,3,4,7}:{(60,1),(62,1),(64,1),(102,1),(103,1),(168,1),(174,1)}
        82:{1,3,6}:{(61,1),(62,1),(66,1),(104,1),(167,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(112,1),(140,1),(147,1),(166,1)}
        84:{2,4,5}:{(63,1),(71,1),(101,1),(106,1),(114,1),(140,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(103,1),(107,1),(108,1),(137,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(97,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(99,1),(113,1),(114,1),(140,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(77,1),(87,1),(118,1)}
        98:{2,3,6,7}:{(77,1),(79,1),(88,1),(119,1),(120,1),(169,1)}
        99:{2,5,7}:{(78,1),(79,1),(90,1),(121,1)}
       100:{1,4,6,7}:{(79,1),(91,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(84,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(85,1),(122,1),(123,1)}
       103:{2,4,7}:{(81,1),(83,1),(123,1),(124,1),(172,1)}
       104:{2,3,6}:{(82,1),(83,1),(123,1),(125,1),(133,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(123,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(124,1),(129,1),(130,1),(136,1),(152,1),(156,1),(169,1)}
       109:{3,4,6}:{(87,1),(118,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(119,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(121,1),(134,1),(154,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{3,4,7}:{(97,1),(109,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(110,1),(137,1),(138,1)}
       120:{1,3,6,7}:{(98,1),(100,1),(111,1),(138,1),(139,1)}
       121:{1,5,7}:{(99,1),(100,1),(113,1)}
       122:{1,3,5}:{(101,1),(102,1),(106,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,4,7}:{(103,1),(105,1),(141,1),(173,1)}
       125:{1,3,6}:{(104,1),(105,1),(141,1),(143,1)}
       126:{1,2,5,7}:{(105,1),(112,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(140,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(141,1),(145,1),(146,1),(148,1),(151,1),(164,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(137,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(131,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(132,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(120,1),(133,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,4,7}:{(124,1),(126,1),(130,1),(155,1),(156,1)}
       143:{1,2,6}:{(125,1),(126,1),(133,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(154,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(156,1),(159,1),(169,1)}
       148:{1,4,6}:{(131,1),(132,1),(152,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(153,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(148,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(149,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(146,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(142,1),(147,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(164,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(162,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(160,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(158,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(159,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(170,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(169,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(167,1)}
       170:{1,3,5}:{(163,1),(164,1),(166,1),(173,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1143 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(194,1),(204,1),(205,1),(308,1),(314,1),(404,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(255,1),(365,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(242,1),(258,1),(362,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(404,1),(410,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(205,1),(207,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(408,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(294,1),(308,1),(311,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(83,1),(98,1),(99,1),(151,1),(159,1),(262,1),(271,1),(365,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(162,1),(166,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(258,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(358,1),(387,1),(388,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(410,1),(418,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(205,1),(323,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(117,1),(131,1),(132,1),(196,1),(206,1),(312,1),(319,1),(408,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(128,1),(133,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(211,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(311,1),(313,1),(336,1),(339,1),(340,1),(408,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(131,1),(404,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(365,1),(373,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(151,1),(162,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(258,1),(370,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(156,1),(245,1),(349,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(172,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(186,1),(265,1),(269,1),(285,1),(288,1),(290,1),(369,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(364,1),(380,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(68,1),(114,1),(199,1),(218,1),(219,1),(323,1),(398,1)}
        38:{2,3,4,5}:{(24,1),(59,1),(60,1),(124,1),(295,1),(418,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(408,1),(415,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(131,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(147,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(128,1),(136,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(131,1),(196,1),(211,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(396,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(131,1),(202,1),(298,1),(312,1),(427,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(333,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(128,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(130,1),(146,1),(222,1),(226,1),(236,1),(238,1),(327,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(131,1),(225,1),(321,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(408,1),(410,1)}
        57:{2,4,5,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(98,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(40,1),(84,1),(85,1),(94,1),(152,1),(249,1),(267,1),(268,1),(352,1),(370,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(82,1),(86,1),(87,1),(162,1),(243,1),(373,1)}
        60:{1,3,4,5}:{(38,1),(41,1),(86,1),(88,1),(95,1),(160,1),(342,1)}
        61:{2,3,4,5,7}:{(38,1),(42,1),(87,1),(89,1),(90,1),(113,1),(165,1),(167,1),(193,1),(346,1),(369,1),(372,1),(454,1),(455,1),(457,1),(506,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(186,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(88,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(174,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(180,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(151,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(172,1),(174,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(245,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(362,1),(380,1),(384,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(180,1),(281,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(172,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(285,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(174,1),(278,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(369,1),(372,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(323,1)}
        83:{1,4,5,6}:{(57,1),(62,1),(114,1),(117,1),(136,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(63,1),(115,1),(117,1),(118,1),(131,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(62,1),(114,1),(121,1),(122,1),(128,1),(205,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(63,1),(115,1),(122,1),(211,1),(296,1),(415,1)}
        88:{2,4,5}:{(60,1),(121,1),(124,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(66,1),(122,1),(125,1),(126,1),(134,1),(208,1),(213,1),(240,1),(327,1),(330,1),(389,1),(408,1),(410,1),(415,1),(418,1),(486,1),(488,1),(527,1)}
        90:{2,3,4,6}:{(61,1),(67,1),(126,1),(127,1),(147,1),(216,1),(237,1),(322,1),(393,1),(485,1),(526,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(121,1),(128,1),(129,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(130,1),(131,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(131,1),(132,1),(225,1)}
        95:{1,3,5}:{(65,1),(124,1),(128,1),(133,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(125,1),(129,1),(134,1),(135,1),(143,1),(223,1),(234,1),(327,1),(330,1),(527,1),(528,1),(529,1),(547,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(136,1)}
        98:{2,5,6}:{(67,1),(68,1),(131,1),(136,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(132,1),(137,1),(333,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(144,1),(195,1),(220,1),(227,1),(234,1),(325,1),(334,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(129,1),(140,1),(196,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(130,1),(140,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(131,1),(141,1),(142,1),(225,1),(298,1),(318,1),(329,1),(335,1),(396,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(132,1),(142,1),(408,1)}
       105:{1,2,4}:{(73,1),(133,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(134,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(136,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(222,1),(236,1),(335,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(329,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(327,1),(330,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(225,1),(415,1),(418,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(370,1)}
       116:{1,2,4,5,6}:{(83,1),(91,1),(151,1),(154,1),(155,1),(178,1),(181,1),(243,1),(271,1),(279,1),(282,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(92,1),(152,1),(156,1),(174,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(94,1),(157,1),(158,1),(253,1),(352,1)}
       120:{1,2,4,5}:{(88,1),(159,1),(160,1),(255,1),(342,1),(355,1)}
       121:{2,4,6}:{(86,1),(88,1),(151,1),(162,1),(163,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(92,1),(152,1),(163,1),(172,1),(258,1),(343,1)}
       123:{2,3,4,6,7}:{(87,1),(90,1),(93,1),(153,1),(164,1),(165,1),(186,1),(247,1),(265,1),(285,1),(347,1),(369,1),(437,1),(438,1),(455,1),(496,1)}
       124:{2,3,5}:{(88,1),(95,1),(160,1),(162,1),(166,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(163,1),(167,1),(168,1),(266,1),(369,1),(372,1),(511,1),(512,1)}
       126:{1,3,4,6}:{(89,1),(90,1),(97,1),(168,1),(169,1),(177,1),(261,1),(279,1),(289,1),(365,1),(373,1),(431,1),(541,1)}
       127:{2,3,5,6}:{(90,1),(98,1),(165,1),(169,1),(170,1),(180,1),(281,1),(435,1),(498,1),(534,1)}
       128:{1,3,6}:{(91,1),(95,1),(162,1),(172,1)}
       129:{1,2,4,7}:{(91,1),(92,1),(101,1),(163,1),(172,1)}
       130:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(174,1)}
       131:{2,5,7}:{(93,1),(94,1),(98,1),(174,1)}
       132:{1,4,5,7}:{(94,1),(99,1),(104,1),(175,1),(380,1)}
       133:{1,3,4}:{(95,1),(105,1),(166,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(167,1),(172,1),(176,1),(177,1),(278,1),(542,1),(543,1)}
       135:{1,2,4,6}:{(96,1),(97,1),(107,1),(168,1),(177,1),(178,1),(279,1),(541,1),(551,1)}
       136:{1,5,6}:{(97,1),(98,1),(174,1)}
       137:{2,4,5,6}:{(98,1),(99,1),(109,1),(175,1),(179,1),(180,1),(281,1)}
       138:{1,2,4,6}:{(100,1),(105,1),(171,1),(181,1),(182,1),(243,1),(279,1)}
       139:{1,2,3,5,7}:{(100,1),(101,1),(172,1),(182,1),(183,1),(244,1),(273,1),(275,1),(283,1)}
       140:{1,2,6,7}:{(101,1),(102,1),(107,1),(245,1)}
       141:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(174,1),(184,1),(185,1),(275,1),(277,1),(284,1)}
       142:{2,4,6,7}:{(103,1),(104,1),(109,1),(175,1),(185,1),(186,1),(369,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(176,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(177,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(281,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(180,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(275,1),(379,1),(508,1),(542,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(277,1),(378,1),(381,1)}
       151:{2,5,6}:{(114,1),(121,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(122,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(128,1),(195,1),(199,1),(200,1),(220,1),(323,1),(325,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(129,1),(196,1),(200,1),(201,1),(223,1),(296,1),(319,1),(327,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(131,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(132,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(121,1),(194,1),(205,1),(206,1),(292,1)}
       160:{1,3,5}:{(120,1),(124,1),(205,1),(207,1)}
       161:{1,2,4,5,7}:{(120,1),(125,1),(206,1),(208,1),(209,1),(240,1),(307,1),(312,1),(341,1),(389,1),(401,1),(404,1),(408,1),(410,1),(490,1),(491,1)}
       162:{2,3,6}:{(121,1),(124,1),(128,1),(205,1),(211,1)}
       163:{2,4,7}:{(121,1),(122,1),(196,1),(211,1)}
       164:{1,3,4,6,7}:{(122,1),(123,1),(126,1),(130,1),(197,1),(212,1),(213,1),(222,1),(299,1),(311,1),(327,1),(336,1),(390,1),(396,1),(408,1),(415,1),(472,1),(486,1),(519,1)}
       165:{2,3,5,7}:{(123,1),(127,1),(131,1),(213,1),(214,1),(225,1),(329,1),(394,1),(471,1),(518,1)}
       166:{2,3,4}:{(124,1),(133,1),(207,1)}
       167:{2,3,5,7}:{(124,1),(125,1),(134,1),(208,1),(211,1),(215,1),(216,1),(321,1),(531,1),(532,1)}
       168:{2,4,6}:{(125,1),(126,1),(216,1),(217,1)}
       169:{1,3,5,6}:{(126,1),(127,1),(136,1),(213,1),(217,1),(218,1),(323,1),(333,1),(466,1),(545,1)}
       170:{2,4,5,6}:{(127,1),(214,1),(218,1),(219,1),(322,1)}
       171:{1,3,4,6}:{(128,1),(133,1),(138,1),(210,1),(220,1),(221,1),(325,1)}
       172:{1,3,7}:{(128,1),(129,1),(211,1)}
       173:{1,2,4,6,7}:{(129,1),(130,1),(135,1),(140,1),(212,1),(222,1),(223,1),(327,1),(519,1),(520,1),(528,1)}
       174:{1,5,7}:{(130,1),(131,1),(136,1)}
       175:{2,4,5,7}:{(131,1),(132,1),(137,1),(142,1),(224,1),(225,1),(329,1)}
       176:{1,3,4,7}:{(133,1),(134,1),(143,1),(215,1),(226,1),(327,1),(550,1)}
       177:{1,3,6}:{(134,1),(135,1),(216,1)}
       178:{1,2,5,6}:{(135,1),(136,1),(217,1),(223,1),(227,1),(234,1),(545,1)}
       179:{1,4,5,6}:{(136,1),(137,1),(146,1),(224,1),(229,1)}
       180:{3,5,6}:{(137,1),(147,1),(225,1)}
       181:{1,2,4,5}:{(138,1),(220,1),(234,1),(295,1),(330,1)}
       182:{1,2,4,7}:{(138,1),(139,1),(221,1),(296,1),(327,1)}
       183:{1,2,3,6,7}:{(139,1),(140,1),(144,1),(222,1),(231,1),(297,1),(325,1),(548,1)}
       184:{1,2,5,6,7}:{(140,1),(141,1),(145,1),(223,1),(232,1),(298,1),(329,1),(400,1)}
       185:{1,4,6,7}:{(141,1),(142,1),(146,1),(224,1),(327,1)}
       186:{3,4,6,7}:{(142,1),(147,1),(225,1),(396,1),(415,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(226,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(227,1),(234,1),(235,1),(236,1),(332,1),(337,1),(484,1),(530,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(229,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(327,1),(422,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(329,1),(422,1),(424,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(162,1),(241,1),(243,1),(244,1),(263,1),(367,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(163,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(165,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(279,1),(373,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(172,1),(244,1),(249,1),(250,1),(370,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(282,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(174,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(175,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,2,3,5}:{(160,1),(254,1),(255,1),(355,1)}
       205:{1,3,6}:{(159,1),(160,1),(162,1),(258,1)}
       206:{1,2,4,7}:{(159,1),(163,1),(242,1),(258,1),(343,1)}
       207:{1,3,4}:{(160,1),(166,1),(255,1)}
       208:{1,3,5,7}:{(160,1),(161,1),(167,1),(258,1),(260,1),(261,1),(364,1),(514,1),(515,1)}
       209:{1,2,4,6}:{(161,1),(168,1),(261,1),(262,1),(289,1),(365,1),(387,1),(431,1),(441,1)}
       210:{2,3,4,6}:{(162,1),(166,1),(171,1),(243,1),(257,1),(263,1),(264,1),(367,1)}
       211:{2,3,7}:{(162,1),(163,1),(172,1),(258,1)}
       212:{2,4,6,7}:{(163,1),(164,1),(168,1),(245,1),(265,1),(266,1),(369,1),(499,1),(511,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(169,1),(174,1),(266,1),(267,1),(370,1),(380,1),(432,1),(535,1)}
       214:{2,4,5,7}:{(165,1),(170,1),(247,1),(267,1),(268,1),(369,1)}
       215:{2,3,4,7}:{(166,1),(167,1),(176,1),(260,1),(269,1),(369,1),(544,1)}
       216:{2,3,6}:{(167,1),(168,1),(177,1),(261,1)}
       217:{2,5,6}:{(168,1),(169,1),(266,1)}
       218:{1,4,5,6}:{(169,1),(170,1),(267,1),(271,1),(279,1),(365,1)}
       219:{3,4,5,6}:{(170,1),(180,1),(268,1),(373,1),(498,1)}
       220:{1,3,5}:{(171,1),(181,1),(263,1)}
       221:{1,3,4,7}:{(171,1),(172,1),(182,1),(264,1),(273,1)}
       222:{1,3,6,7}:{(172,1),(173,1),(177,1),(265,1),(275,1),(542,1)}
       223:{1,2,5,7}:{(173,1),(174,1),(178,1),(266,1),(275,1),(535,1)}
       224:{1,4,5,7}:{(174,1),(175,1),(179,1),(185,1),(277,1)}
       225:{3,5,7}:{(175,1),(180,1),(186,1)}
       226:{1,3,4,6}:{(176,1),(177,1),(187,1),(269,1),(278,1),(279,1)}
       227:{1,3,5,6}:{(177,1),(178,1),(270,1),(275,1),(278,1),(279,1)}
       228:{1,2,4,5,6}:{(178,1),(179,1),(189,1),(271,1),(276,1),(279,1),(280,1),(281,1),(286,1),(375,1),(382,1),(459,1),(510,1)}
       229:{1,3,5,6}:{(179,1),(180,1),(190,1),(277,1),(281,1)}
       230:{1,2,4,5,7}:{(181,1),(182,1),(273,1),(282,1),(283,1),(346,1),(377,1)}
       231:{1,2,4,6,7}:{(182,1),(183,1),(187,1),(274,1),(282,1),(283,1),(347,1),(538,1),(551,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(189,1),(276,1),(284,1),(285,1),(349,1),(439,1),(499,1)}
       233:{1,3,4,6,7}:{(185,1),(186,1),(190,1),(277,1),(284,1),(285,1),(378,1)}
       234:{1,2,5}:{(187,1),(278,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(279,1),(286,1),(287,1),(382,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(281,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(542,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(380,1),(460,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(205,1),(292,1),(293,1),(309,1),(406,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(206,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(211,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(213,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(214,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(220,1),(295,1),(330,1),(418,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(327,1),(415,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(325,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(223,1),(298,1),(303,1),(334,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(224,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(225,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(205,1),(305,1),(306,1)}
       255:{1,2,4}:{(204,1),(207,1)}
       256:{1,2,3,5,7}:{(204,1),(208,1),(306,1),(307,1),(308,1),(341,1),(401,1),(404,1),(430,1),(493,1)}
       257:{1,3,4,6}:{(205,1),(207,1),(210,1),(292,1),(305,1),(309,1),(310,1),(406,1)}
       258:{1,3,7}:{(205,1),(206,1),(211,1)}
       259:{1,2,4,6,7}:{(206,1),(209,1),(212,1),(294,1),(311,1),(312,1),(336,1),(390,1),(408,1),(427,1),(490,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(215,1),(307,1),(313,1),(408,1),(533,1)}
       261:{1,3,6}:{(208,1),(209,1),(216,1)}
       262:{1,2,5,6}:{(209,1),(217,1),(312,1),(314,1),(333,1),(404,1),(466,1)}
       263:{2,3,5}:{(210,1),(220,1),(295,1),(309,1)}
       264:{2,3,4,7}:{(210,1),(211,1),(221,1),(296,1),(310,1),(316,1)}
       265:{2,3,6,7}:{(211,1),(212,1),(216,1),(222,1),(311,1),(318,1),(396,1),(531,1)}
       266:{2,5,7}:{(212,1),(213,1),(217,1)}
       267:{1,4,5,7}:{(213,1),(214,1),(218,1),(299,1),(319,1),(327,1),(408,1)}
       268:{3,4,5,7}:{(214,1),(219,1),(225,1),(300,1),(415,1),(471,1)}
       269:{2,3,4,6}:{(215,1),(216,1),(226,1),(313,1),(321,1),(322,1)}
       270:{2,3,5,6}:{(216,1),(217,1),(227,1),(314,1),(318,1),(321,1),(322,1),(323,1)}
       271:{2,4,5,6}:{(217,1),(218,1),(319,1),(322,1),(323,1)}
       272:{1,3,4,5,6}:{(218,1),(219,1),(229,1),(320,1),(323,1),(324,1),(331,1),(411,1),(420,1),(517,1)}
       273:{1,3,5,7}:{(220,1),(221,1),(230,1),(316,1),(325,1)}
       274:{1,3,4,6,7}:{(221,1),(222,1),(226,1),(231,1),(317,1),(325,1),(326,1),(327,1),(421,1),(519,1),(523,1),(546,1)}
       275:{1,3,5,7}:{(222,1),(223,1),(227,1),(318,1),(327,1)}
       276:{1,2,4,5,7}:{(223,1),(224,1),(228,1),(232,1),(319,1),(327,1),(328,1),(329,1),(417,1),(422,1),(487,1),(528,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(229,1),(233,1),(329,1)}
       278:{1,3,5}:{(226,1),(234,1),(321,1),(330,1)}
       279:{1,4,6}:{(227,1),(322,1),(327,1),(330,1)}
       280:{1,3,5,6}:{(228,1),(236,1),(323,1),(328,1),(331,1),(332,1),(337,1),(530,1)}
       281:{2,5,6}:{(229,1),(237,1),(329,1),(333,1)}
       282:{1,2,4,6}:{(230,1),(325,1),(334,1),(393,1),(421,1)}
       283:{1,2,5,7}:{(231,1),(234,1),(326,1),(334,1),(394,1)}
       284:{1,3,6,7}:{(232,1),(236,1),(328,1),(335,1),(396,1)}
       285:{2,4,6,7}:{(233,1),(237,1),(329,1),(335,1),(336,1),(422,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(330,1),(337,1),(424,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(530,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(333,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(422,1),(531,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(258,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(263,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(367,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(266,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(267,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(268,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(273,1),(346,1),(351,1),(352,1),(377,1),(454,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(275,1),(348,1),(352,1),(353,1),(376,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(277,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(257,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(258,1),(356,1)}
       307:{1,2,4,7}:{(255,1),(256,1),(260,1),(358,1),(516,1)}
       308:{1,2,3,6}:{(256,1),(261,1),(358,1),(387,1),(441,1)}
       309:{1,3,5}:{(257,1),(263,1),(342,1),(355,1)}
       310:{1,3,4,7}:{(257,1),(258,1),(264,1),(343,1),(356,1),(360,1)}
       311:{1,3,6,7}:{(258,1),(259,1),(261,1),(265,1),(362,1),(514,1)}
       312:{1,2,5,7}:{(259,1),(262,1),(266,1),(362,1),(380,1),(432,1)}
       313:{1,3,4,6}:{(260,1),(261,1),(269,1),(358,1),(364,1),(365,1)}
       314:{1,3,5,6}:{(261,1),(262,1),(270,1),(362,1),(364,1),(365,1)}
       315:{1,2,4,5,6}:{(262,1),(271,1),(363,1),(365,1),(366,1),(375,1),(444,1),(451,1),(459,1),(463,1),(494,1),(500,1),(534,1)}
       316:{2,3,5,7}:{(263,1),(264,1),(273,1),(346,1),(360,1),(367,1)}
       317:{2,3,4,6,7}:{(264,1),(265,1),(269,1),(274,1),(347,1),(361,1),(367,1),(368,1),(369,1),(437,1),(453,1),(496,1),(502,1),(536,1)}
       318:{2,3,5,7}:{(265,1),(266,1),(270,1),(275,1),(362,1),(369,1),(370,1)}
       319:{2,4,5,7}:{(266,1),(267,1),(271,1),(349,1),(369,1),(370,1)}
       320:{1,3,4,5,7}:{(267,1),(268,1),(272,1),(277,1),(350,1),(370,1),(371,1),(378,1),(448,1),(456,1),(495,1)}
       321:{2,3,5}:{(269,1),(278,1),(364,1),(372,1)}
       322:{2,4,6}:{(270,1),(279,1),(365,1),(369,1),(372,1),(373,1)}
       323:{3,5,6}:{(271,1),(370,1),(373,1)}
       324:{2,4,5,6}:{(272,1),(281,1),(371,1),(374,1),(375,1),(382,1),(451,1),(459,1),(534,1)}
       325:{1,3,6}:{(273,1),(282,1),(367,1)}
       326:{1,3,5,7}:{(274,1),(278,1),(283,1),(368,1),(376,1),(377,1),(535,1)}
       327:{1,4,7}:{(275,1),(279,1),(369,1)}
       328:{1,3,5,7}:{(276,1),(280,1),(284,1),(370,1),(378,1),(379,1),(542,1)}
       329:{2,5,7}:{(277,1),(281,1),(285,1),(380,1)}
       330:{1,4,5}:{(278,1),(279,1),(372,1)}
       331:{1,3,4,6}:{(279,1),(280,1),(373,1),(378,1),(381,1),(382,1)}
       332:{2,3,5,6}:{(280,1),(281,1),(288,1),(379,1),(382,1),(383,1),(385,1),(459,1),(513,1)}
       333:{1,5,6}:{(281,1),(289,1),(380,1)}
       334:{1,2,5,6}:{(282,1),(283,1),(376,1),(435,1),(551,1)}
       335:{2,3,6,7}:{(284,1),(285,1),(288,1),(379,1),(384,1),(499,1)}
       336:{1,4,6,7}:{(285,1),(289,1),(380,1),(384,1),(460,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(382,1),(385,1),(386,1),(513,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(460,1),(514,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(309,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(406,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(312,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(316,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(318,1),(391,1),(394,1),(395,1),(396,1),(413,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(319,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(320,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(325,1),(393,1),(398,1),(421,1),(485,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(327,1),(395,1),(399,1),(421,1)}
       354:{2,5,6,7}:{(304,1),(329,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(309,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(310,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(308,1),(311,1),(402,1),(403,1),(427,1),(469,1),(521,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(313,1),(404,1)}
       359:{1,2,3,5,6}:{(308,1),(314,1),(403,1),(404,1),(405,1),(412,1),(426,1),(473,1),(476,1),(492,1),(493,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(316,1),(389,1),(401,1),(406,1)}
       361:{1,3,4,6,7}:{(310,1),(311,1),(313,1),(317,1),(390,1),(402,1),(406,1),(407,1),(408,1),(475,1),(478,1),(521,1)}
       362:{1,3,5,7}:{(311,1),(312,1),(314,1),(318,1),(408,1)}
       363:{1,2,4,5,7}:{(312,1),(315,1),(319,1),(392,1),(408,1),(409,1),(417,1),(467,1),(480,1),(487,1),(490,1),(518,1)}
       364:{1,3,5}:{(313,1),(321,1),(404,1),(410,1)}
       365:{1,4,6}:{(314,1),(322,1),(408,1),(410,1)}
       366:{1,3,5,6}:{(315,1),(323,1),(409,1),(411,1),(412,1),(476,1),(492,1),(521,1)}
       367:{2,3,6}:{(316,1),(325,1),(393,1),(406,1)}
       368:{2,3,5,7}:{(317,1),(321,1),(326,1),(394,1),(407,1),(413,1),(414,1),(471,1),(518,1)}
       369:{2,4,7}:{(318,1),(322,1),(327,1),(408,1),(415,1)}
       370:{3,5,7}:{(319,1),(323,1),(396,1),(415,1)}
       371:{2,4,5,7}:{(320,1),(324,1),(329,1),(397,1),(416,1),(417,1),(422,1),(480,1),(487,1),(518,1)}
       372:{2,4,5}:{(321,1),(322,1),(330,1),(410,1),(418,1)}
       373:{3,4,6}:{(322,1),(323,1),(415,1),(418,1)}
       374:{2,3,5,6}:{(323,1),(324,1),(416,1),(419,1),(420,1)}
       375:{1,4,5,6}:{(324,1),(333,1),(417,1),(420,1),(425,1),(483,1),(545,1)}
       376:{1,3,5,6}:{(325,1),(326,1),(334,1),(413,1),(421,1),(545,1),(546,1)}
       377:{1,4,5,7}:{(326,1),(327,1),(330,1),(414,1),(421,1)}
       378:{1,3,4,7}:{(327,1),(328,1),(331,1),(415,1),(422,1)}
       379:{2,3,5,7}:{(328,1),(329,1),(332,1),(335,1),(422,1),(423,1),(487,1),(531,1)}
       380:{1,5,7}:{(329,1),(333,1),(336,1)}
       381:{1,3,4,5}:{(330,1),(331,1),(337,1),(418,1),(424,1)}
       382:{2,4,6}:{(331,1),(332,1),(422,1),(424,1),(425,1)}
       383:{1,3,5,6}:{(332,1),(333,1),(339,1),(423,1),(425,1),(426,1),(428,1),(492,1)}
       384:{1,3,6,7}:{(335,1),(336,1),(339,1),(423,1),(427,1)}
       385:{2,3,5}:{(337,1),(338,1),(424,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(425,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(360,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(362,1),(432,1),(433,1),(434,1),(446,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(363,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(367,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(369,1),(433,1),(436,1),(437,1),(453,1)}
       396:{3,6,7}:{(349,1),(370,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(371,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(380,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(360,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(358,1),(361,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(359,1),(362,1),(442,1),(443,1),(449,1),(461,1),(501,1),(514,1)}
       404:{1,2,5}:{(358,1),(364,1)}
       405:{1,2,4,6}:{(359,1),(365,1),(443,1),(444,1),(445,1),(451,1),(516,1)}
       406:{1,3,6}:{(360,1),(367,1),(431,1),(441,1)}
       407:{1,3,5,7}:{(361,1),(364,1),(368,1),(432,1),(442,1),(446,1),(447,1)}
       408:{1,4,7}:{(362,1),(365,1),(369,1)}
       409:{1,3,5,7}:{(363,1),(366,1),(370,1),(434,1),(448,1),(449,1),(514,1)}
       410:{1,4,5}:{(364,1),(365,1),(372,1)}
       411:{1,3,4,6}:{(365,1),(366,1),(373,1),(448,1),(450,1),(451,1)}
       412:{2,3,5,6}:{(366,1),(449,1),(451,1),(452,1),(459,1),(503,1),(513,1),(534,1),(536,1)}
       413:{2,3,5,6}:{(367,1),(368,1),(376,1),(435,1),(446,1),(453,1),(498,1),(534,1),(536,1)}
       414:{2,4,5,7}:{(368,1),(369,1),(372,1),(377,1),(447,1),(453,1),(454,1)}
       415:{3,4,7}:{(369,1),(370,1),(373,1)}
       416:{2,3,5,7}:{(370,1),(371,1),(374,1),(438,1),(455,1),(456,1)}
       417:{1,4,5,7}:{(371,1),(375,1),(380,1),(439,1),(456,1),(460,1),(507,1),(535,1)}
       418:{3,4,5}:{(372,1),(373,1)}
       419:{2,3,4,6}:{(373,1),(374,1),(382,1),(451,1),(455,1),(457,1),(458,1),(513,1)}
       420:{1,3,5,6}:{(374,1),(375,1),(456,1),(458,1),(459,1)}
       421:{1,4,6}:{(376,1),(377,1),(453,1)}
       422:{2,4,7}:{(378,1),(379,1),(382,1),(460,1)}
       423:{1,3,5,7}:{(379,1),(380,1),(383,1),(384,1),(460,1),(461,1),(514,1)}
       424:{2,4,5}:{(381,1),(382,1),(385,1),(462,1)}
       425:{1,4,6}:{(382,1),(383,1),(460,1),(462,1)}
       426:{1,2,5,6}:{(383,1),(387,1),(459,1),(461,1),(463,1),(464,1)}
       427:{1,2,6,7}:{(384,1),(387,1),(461,1),(499,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(514,1)}
       431:{1,4,6}:{(389,1),(393,1),(406,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(408,1),(467,1),(478,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(409,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(415,1),(471,1),(485,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(416,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(417,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(421,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(406,1)}
       442:{1,2,5,7}:{(402,1),(404,1),(407,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(405,1),(408,1),(475,1),(480,1)}
       444:{1,2,4,5}:{(404,1),(405,1),(410,1),(476,1),(482,1)}
       445:{1,3,4,6}:{(405,1),(475,1),(476,1),(477,1),(492,1),(521,1),(533,1)}
       446:{1,3,5,6}:{(406,1),(407,1),(413,1),(466,1),(473,1),(478,1),(521,1)}
       447:{1,4,5,7}:{(407,1),(408,1),(410,1),(414,1),(478,1)}
       448:{1,3,4,7}:{(408,1),(409,1),(411,1),(415,1),(480,1)}
       449:{2,3,5,7}:{(409,1),(412,1),(469,1),(480,1),(481,1),(487,1),(518,1),(531,1)}
       450:{1,3,4,5}:{(410,1),(411,1),(418,1),(476,1),(482,1)}
       451:{2,4,6}:{(411,1),(412,1),(480,1),(482,1),(483,1)}
       452:{1,3,5,6}:{(412,1),(481,1),(483,1),(484,1),(524,1),(530,1),(545,1),(546,1)}
       453:{2,4,6}:{(413,1),(414,1),(421,1),(478,1),(485,1)}
       454:{3,4,5,7}:{(414,1),(415,1),(418,1),(471,1),(485,1)}
       455:{2,3,4,7}:{(415,1),(416,1),(419,1),(422,1),(480,1),(486,1),(531,1)}
       456:{1,3,5,7}:{(416,1),(417,1),(420,1),(472,1),(486,1),(487,1)}
       457:{2,3,4,5}:{(418,1),(419,1),(424,1),(482,1),(488,1),(532,1)}
       458:{1,3,4,6}:{(419,1),(420,1),(425,1),(483,1),(486,1),(488,1),(489,1),(492,1),(530,1)}
       459:{2,5,6}:{(420,1),(487,1),(489,1)}
       460:{1,4,7}:{(422,1),(423,1),(425,1)}
       461:{1,2,5,7}:{(423,1),(426,1),(427,1),(487,1),(490,1)}
       462:{1,4,5}:{(424,1),(425,1),(428,1)}
       463:{1,2,4,6}:{(425,1),(426,1),(489,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(448,1),(495,1),(496,1),(505,1)}
       469:{2,3,6,7}:{(434,1),(449,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(453,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(456,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(446,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(444,1),(447,1),(500,1),(501,1),(506,1)}
       475:{1,3,4,7}:{(443,1),(445,1),(501,1),(502,1),(514,1)}
       476:{1,3,5}:{(444,1),(445,1),(503,1)}
       477:{2,3,4,6}:{(445,1),(451,1),(502,1),(503,1),(504,1),(513,1),(536,1),(544,1)}
       478:{1,4,6}:{(446,1),(447,1),(453,1)}
       479:{1,3,4,5,7}:{(447,1),(448,1),(450,1),(454,1),(495,1),(501,1),(505,1),(506,1)}
       480:{2,4,7}:{(448,1),(449,1),(451,1),(507,1)}
       481:{1,3,5,7}:{(449,1),(452,1),(497,1),(507,1),(508,1),(535,1),(542,1)}
       482:{2,4,5}:{(450,1),(451,1),(503,1),(509,1)}
       483:{1,4,6}:{(451,1),(452,1),(507,1),(509,1)}
       484:{1,2,5,6}:{(452,1),(459,1),(508,1),(510,1),(539,1),(551,1)}
       485:{3,4,6}:{(453,1),(454,1),(498,1)}
       486:{1,3,4,7}:{(455,1),(456,1),(458,1),(460,1),(507,1),(511,1),(514,1),(542,1)}
       487:{2,5,7}:{(456,1),(459,1),(499,1),(511,1)}
       488:{1,3,4,5}:{(457,1),(458,1),(462,1),(509,1),(512,1),(515,1),(543,1)}
       489:{2,4,6}:{(458,1),(459,1),(511,1),(512,1),(513,1)}
       490:{1,2,4,7}:{(460,1),(461,1),(463,1),(511,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(512,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(513,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(478,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(480,1),(518,1),(519,1),(526,1)}
       497:{1,3,6,7}:{(469,1),(481,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(485,1)}
       499:{2,6,7}:{(472,1),(487,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(478,1),(521,1),(526,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(476,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(477,1),(480,1),(522,1),(523,1),(531,1)}
       503:{2,3,5}:{(476,1),(477,1),(482,1),(524,1)}
       504:{1,3,4,6}:{(477,1),(483,1),(523,1),(524,1),(525,1),(530,1),(546,1),(550,1)}
       505:{1,3,4,6}:{(478,1),(479,1),(485,1),(517,1),(521,1),(526,1)}
       506:{2,4,5,7}:{(479,1),(480,1),(482,1),(518,1),(522,1),(526,1),(527,1)}
       507:{1,4,7}:{(480,1),(481,1),(483,1)}
       508:{1,2,5,7}:{(481,1),(484,1),(487,1),(520,1),(528,1)}
       509:{1,4,5}:{(482,1),(483,1),(524,1)}
       510:{1,2,4,6}:{(483,1),(484,1),(489,1),(528,1),(529,1),(530,1)}
       511:{2,4,7}:{(486,1),(487,1),(489,1),(531,1)}
       512:{2,4,5}:{(488,1),(489,1),(532,1)}
       513:{2,3,6}:{(489,1),(492,1),(530,1),(531,1),(532,1)}
       514:{1,3,7}:{(490,1),(492,1),(531,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(505,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(507,1),(535,1),(541,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(508,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(503,1),(506,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(504,1),(507,1),(537,1),(538,1),(542,1)}
       524:{1,3,5}:{(503,1),(504,1),(509,1),(539,1)}
       525:{1,2,4,6}:{(504,1),(538,1),(539,1),(540,1),(551,1),(552,1)}
       526:{2,4,6}:{(505,1),(506,1),(534,1),(536,1),(541,1)}
       527:{1,4,5,7}:{(506,1),(507,1),(509,1),(535,1),(537,1),(541,1)}
       528:{1,2,4,7}:{(507,1),(508,1),(510,1),(511,1),(542,1)}
       529:{1,2,4,5}:{(509,1),(510,1),(512,1),(539,1),(543,1),(552,1)}
       530:{1,3,6}:{(510,1),(513,1),(542,1),(543,1)}
       531:{2,3,7}:{(511,1),(513,1),(514,1),(542,1)}
       532:{2,3,5}:{(512,1),(513,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(526,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(526,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(524,1),(527,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(525,1),(547,1),(548,1)}
       539:{1,2,5}:{(524,1),(525,1)}
       540:{1,2,3,6}:{(525,1),(530,1),(548,1),(549,1)}
       541:{1,4,6}:{(526,1),(527,1),(545,1),(546,1)}
       542:{1,3,7}:{(528,1),(530,1),(531,1)}
       543:{1,3,5}:{(529,1),(530,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(541,1)}
       546:{1,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(539,1),(540,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1144 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1145 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1146 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(11,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,7}:{(1,1),(10,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(37,1),(149,1),(171,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(11,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(20,1),(55,1),(56,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,4,7}:{(4,1),(5,1),(18,1),(21,1),(174,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(22,1),(23,1),(40,1),(55,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(74,1),(75,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(30,1),(34,1),(36,1),(78,1),(172,1)}
        19:{1,3,5}:{(8,1),(11,1),(31,1),(33,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(34,1),(37,1)}
        22:{1,2,5,6}:{(11,1),(12,1),(35,1),(37,1),(38,1),(60,1),(171,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(38,1),(61,1),(78,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(55,1),(97,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(45,1),(47,1),(48,1),(49,1),(86,1),(93,1),(94,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,4,7}:{(16,1),(18,1),(47,1),(51,1),(53,1),(99,1),(165,1)}
        31:{2,3,5}:{(16,1),(19,1),(48,1),(50,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(19,1),(50,1),(55,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(51,1),(54,1),(56,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(22,1),(52,1),(55,1),(56,1),(57,1),(101,1),(158,1),(164,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,6}:{(21,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(57,1),(58,1),(83,1),(174,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(78,1),(120,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(66,1),(110,1)}
        44:{1,2,3,7}:{(26,1),(65,1),(152,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(65,1),(69,1),(71,1),(117,1),(152,1)}
        48:{1,3,5}:{(28,1),(31,1),(66,1),(68,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(31,1),(33,1),(68,1),(72,1),(74,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(34,1),(69,1),(73,1),(75,1)}
        52:{2,3,5,6}:{(31,1),(32,1),(35,1),(60,1),(70,1),(74,1),(75,1),(76,1),(105,1),(121,1),(144,1),(151,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,5,7}:{(33,1),(34,1),(73,1),(77,1),(78,1),(123,1)}
        55:{1,4,6}:{(33,1),(35,1),(74,1),(78,1)}
        56:{1,3,6}:{(34,1),(37,1),(75,1),(77,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(38,1),(76,1),(78,1),(79,1),(123,1),(168,1),(172,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(55,1),(82,1),(84,1),(101,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,4,7}:{(44,1),(45,1),(47,1),(88,1),(90,1)}
        66:{1,2,5}:{(45,1),(48,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(48,1),(50,1),(93,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(88,1),(92,1),(94,1)}
        70:{1,3,5,6}:{(48,1),(49,1),(52,1),(80,1),(89,1),(93,1),(94,1),(95,1),(133,1),(139,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1),(99,1),(143,1)}
        74:{2,4,6}:{(50,1),(52,1),(55,1),(93,1),(97,1),(99,1)}
        75:{2,3,6}:{(51,1),(56,1),(94,1),(98,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(57,1),(83,1),(95,1),(99,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        77:{1,4,6}:{(54,1),(56,1),(98,1),(101,1)}
        78:{1,4,7}:{(55,1),(57,1),(99,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(102,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(74,1),(103,1),(105,1),(106,1),(121,1),(144,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(78,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(66,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(69,1),(112,1)}
        89:{1,2,5,6}:{(66,1),(67,1),(70,1),(111,1),(112,1),(113,1),(144,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,5,7}:{(68,1),(69,1),(73,1),(116,1),(117,1),(155,1)}
        93:{1,4,6}:{(68,1),(70,1),(74,1),(117,1)}
        94:{1,3,6}:{(69,1),(75,1),(112,1),(116,1)}
        95:{1,3,5,7}:{(70,1),(71,1),(76,1),(104,1),(113,1),(117,1),(118,1),(152,1),(155,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(119,1),(120,1),(157,1)}
        97:{3,4,6}:{(72,1),(74,1),(105,1),(120,1)}
        98:{2,4,6}:{(73,1),(75,1),(77,1),(116,1),(119,1),(121,1)}
        99:{2,4,7}:{(74,1),(76,1),(78,1),(117,1),(120,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(122,1),(147,1),(169,1)}
       101:{1,5,6}:{(77,1),(121,1),(123,1)}
       102:{1,4,6,7}:{(77,1),(78,1),(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(93,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(97,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(89,1),(93,1),(133,1),(134,1),(137,1)}
       112:{1,2,6}:{(88,1),(94,1)}
       113:{1,2,5,7}:{(89,1),(90,1),(95,1),(134,1),(135,1),(159,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(93,1),(97,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,6}:{(92,1),(94,1),(98,1),(139,1)}
       117:{1,4,7}:{(93,1),(95,1),(99,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(140,1)}
       119:{3,4,6}:{(96,1),(98,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(127,1)}
       121:{2,5,6}:{(98,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(117,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(120,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(117,1),(120,1),(145,1),(152,1),(154,1)}
       139:{1,5,6}:{(116,1),(121,1),(155,1)}
       140:{1,4,6,7}:{(116,1),(117,1),(118,1),(122,1),(155,1)}
       141:{3,5,6}:{(119,1),(121,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(119,1),(120,1),(122,1),(147,1),(157,1),(170,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(157,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{4,5,6}:{(141,1),(167,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(157,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1147 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1148 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(77,1),(211,1),(306,1),(316,1),(426,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(19,1),(103,1),(165,1),(255,1),(357,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(109,1),(366,1),(382,1),(390,1)}
         3:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(12,1),(30,1),(34,1),(125,1),(206,1),(215,1),(316,1),(320,1),(414,1)}
         4:{1,2,5,7}:{(1,1),(8,1),(9,1),(140,1),(405,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(11,1),(34,1),(36,1),(79,1),(306,1),(319,1),(336,1),(345,1),(348,1),(405,1)}
         6:{1,2,4,7}:{(2,1),(11,1),(12,1),(146,1),(414,1)}
         7:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(23,1),(45,1),(54,1),(91,1),(97,1),(103,1),(160,1),(168,1),(275,1),(278,1),(375,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(17,1),(264,1),(371,1)}
         9:{1,2,5,6}:{(4,1),(16,1),(19,1),(105,1),(255,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(17,1),(19,1),(20,1),(21,1),(50,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(21,1),(22,1),(111,1),(370,1),(397,1)}
        12:{1,3,4,7}:{(6,1),(20,1),(22,1),(23,1),(390,1)}
        13:{1,2,3,6,7}:{(24,1),(25,1),(85,1),(121,1),(152,1),(203,1),(234,1),(489,1)}
        14:{1,3,4,6,7}:{(7,1),(24,1),(26,1),(38,1),(63,1),(65,1),(80,1),(121,1),(141,1),(234,1),(238,1),(334,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(132,1),(140,1),(214,1),(328,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(27,1),(30,1),(34,1),(206,1),(217,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(30,1),(414,1),(419,1)}
        18:{1,2,5,6,7}:{(9,1),(29,1),(32,1),(140,1),(230,1),(302,1),(315,1),(322,1)}
        19:{1,2,4,6}:{(9,1),(10,1),(30,1),(34,1),(74,1)}
        20:{1,3,5,7}:{(10,1),(12,1),(34,1),(35,1),(36,1)}
        21:{1,2,4,5}:{(11,1),(36,1),(82,1),(405,1),(419,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(34,1),(36,1),(37,1),(345,1),(349,1)}
        23:{2,3,4,7}:{(12,1),(35,1),(37,1),(38,1),(146,1),(341,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(39,1),(41,1),(59,1),(87,1),(113,1),(168,1),(198,1)}
        25:{1,2,3,5,7}:{(13,1),(39,1),(40,1),(41,1),(88,1),(251,1),(284,1),(455,1),(509,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(184,1),(289,1)}
        27:{2,3,5,6}:{(15,1),(16,1),(42,1),(45,1),(54,1),(98,1),(105,1),(160,1),(170,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(43,1),(45,1),(46,1),(375,1),(378,1)}
        29:{1,3,5,6,7}:{(16,1),(18,1),(44,1),(47,1),(52,1),(102,1),(252,1),(264,1),(366,1)}
        30:{1,4,6}:{(16,1),(17,1),(45,1)}
        31:{1,3,4,5,7}:{(17,1),(20,1),(46,1),(49,1),(50,1),(56,1),(102,1),(108,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(47,1),(51,1),(52,1),(103,1),(280,1),(372,1),(379,1)}
        33:{1,2,4,5,6}:{(19,1),(21,1),(48,1),(51,1),(53,1),(105,1),(111,1),(187,1),(268,1),(276,1),(286,1),(294,1),(370,1)}
        34:{1,3,6}:{(19,1),(20,1),(54,1)}
        35:{2,3,5,7}:{(20,1),(23,1),(50,1),(54,1),(55,1),(57,1)}
        36:{1,3,5}:{(21,1),(22,1),(57,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(54,1),(57,1),(58,1),(111,1),(295,1),(299,1)}
        38:{1,3,4,7}:{(23,1),(55,1),(58,1),(59,1),(192,1),(291,1)}
        39:{1,2,5,7}:{(24,1),(26,1),(60,1),(214,1),(246,1)}
        40:{1,2,3,5,6}:{(25,1),(60,1),(62,1),(121,1),(123,1),(152,1),(205,1),(237,1),(246,1),(416,1),(484,1),(487,1)}
        41:{1,2,4,7}:{(25,1),(62,1),(63,1),(300,1),(334,1)}
        42:{1,3,5,6}:{(26,1),(27,1),(60,1),(65,1),(80,1),(121,1),(143,1)}
        43:{1,4,5,7}:{(26,1),(28,1),(65,1),(334,1),(339,1)}
        44:{2,3,5,6,7}:{(27,1),(29,1),(64,1),(67,1),(77,1),(132,1),(140,1),(203,1),(214,1),(322,1),(324,1),(420,1)}
        45:{2,4,6}:{(27,1),(28,1),(30,1),(65,1),(69,1)}
        46:{3,4,5,7}:{(28,1),(69,1),(132,1),(422,1),(425,1)}
        47:{1,4,6,7}:{(29,1),(30,1),(67,1),(71,1),(414,1)}
        48:{1,4,5,6}:{(30,1),(68,1),(71,1),(73,1),(217,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(34,1),(69,1),(73,1),(74,1)}
        50:{2,4,5,7}:{(31,1),(35,1),(74,1),(75,1),(82,1),(140,1),(146,1)}
        51:{1,2,4,5,7}:{(32,1),(33,1),(71,1),(76,1),(140,1),(146,1),(232,1),(315,1),(323,1),(332,1),(340,1),(414,1)}
        52:{1,3,6,7}:{(32,1),(34,1),(76,1),(77,1),(420,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(36,1),(76,1),(78,1),(79,1),(326,1),(345,1)}
        54:{2,3,6}:{(34,1),(35,1),(74,1),(80,1)}
        55:{1,3,5,7}:{(35,1),(38,1),(75,1),(80,1),(81,1),(83,1)}
        56:{1,3,4,5}:{(36,1),(78,1),(82,1),(419,1),(425,1)}
        57:{2,3,5}:{(36,1),(37,1),(82,1),(83,1)}
        58:{1,3,4,6}:{(37,1),(38,1),(80,1),(83,1),(84,1),(150,1),(244,1),(249,1)}
        59:{1,2,4,7}:{(38,1),(81,1),(84,1),(85,1)}
        60:{1,2,5,6}:{(39,1),(42,1),(87,1),(113,1),(170,1)}
        61:{1,2,4,5,7}:{(39,1),(41,1),(43,1),(87,1),(88,1),(89,1),(95,1)}
        62:{1,2,4,6}:{(40,1),(41,1),(89,1),(90,1),(253,1),(288,1),(516,1)}
        63:{1,3,4,7}:{(41,1),(88,1),(90,1),(91,1),(509,1)}
        64:{1,3,5,6,7}:{(42,1),(44,1),(86,1),(92,1),(110,1),(158,1),(167,1),(184,1),(284,1)}
        65:{1,4,6}:{(42,1),(43,1),(45,1)}
        66:{1,3,4,5,7}:{(43,1),(46,1),(88,1),(94,1),(95,1),(162,1),(167,1),(250,1)}
        67:{2,4,6,7}:{(44,1),(45,1),(47,1),(92,1),(96,1),(97,1),(375,1)}
        68:{2,4,5,6}:{(45,1),(48,1),(93,1),(96,1),(98,1),(105,1),(170,1)}
        69:{3,4,6}:{(45,1),(46,1),(98,1)}
        70:{2,3,4,5,7}:{(46,1),(50,1),(95,1),(99,1),(100,1),(115,1),(175,1),(180,1),(191,1),(257,1),(350,1),(375,1),(378,1),(465,1),(472,1),(522,1)}
        71:{1,4,5,7}:{(47,1),(48,1),(96,1),(102,1),(264,1)}
        72:{1,3,4,6,7}:{(47,1),(49,1),(52,1),(97,1),(102,1),(103,1),(108,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(98,1),(102,1),(105,1)}
        74:{2,4,6}:{(49,1),(50,1),(54,1),(105,1),(106,1)}
        75:{1,4,5,7}:{(50,1),(55,1),(106,1),(116,1),(184,1),(192,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(374,1),(390,1)}
        77:{2,3,6,7}:{(52,1),(54,1),(103,1),(109,1),(110,1),(379,1)}
        78:{1,3,4,6}:{(53,1),(56,1),(108,1),(111,1),(370,1),(377,1)}
        79:{2,3,5,6}:{(53,1),(54,1),(57,1),(105,1),(109,1),(111,1),(112,1),(286,1),(295,1)}
        80:{1,3,6}:{(54,1),(55,1),(106,1),(113,1)}
        81:{1,2,5,7}:{(55,1),(59,1),(113,1),(117,1)}
        82:{2,4,5}:{(56,1),(57,1),(111,1),(116,1)}
        83:{1,3,5}:{(57,1),(58,1),(116,1),(117,1)}
        84:{1,2,4,6}:{(58,1),(59,1),(113,1),(117,1),(118,1),(201,1)}
        85:{1,2,3,7}:{(59,1),(118,1),(291,1)}
        86:{1,2,5,6,7}:{(60,1),(64,1),(119,1),(148,1),(214,1),(233,1),(312,1),(322,1)}
        87:{1,2,4,6}:{(60,1),(61,1),(65,1),(121,1),(129,1)}
        88:{1,3,5,7}:{(61,1),(63,1),(121,1),(122,1),(123,1)}
        89:{1,2,4,5}:{(62,1),(123,1),(208,1),(246,1),(339,1)}
        90:{1,3,4,6}:{(62,1),(63,1),(121,1),(123,1),(124,1),(484,1),(488,1)}
        91:{2,3,4,7}:{(63,1),(122,1),(124,1),(125,1),(300,1),(480,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(126,1),(334,1)}
        93:{1,4,5,6}:{(65,1),(68,1),(126,1),(128,1),(143,1)}
        94:{1,3,4,6}:{(65,1),(66,1),(69,1),(121,1),(128,1),(129,1)}
        95:{2,4,5,7}:{(66,1),(122,1),(129,1),(130,1),(208,1),(214,1),(300,1)}
        96:{2,4,5,7}:{(67,1),(68,1),(71,1),(126,1),(132,1),(140,1),(214,1)}
        97:{3,4,6,7}:{(67,1),(69,1),(132,1),(420,1),(422,1)}
        98:{3,5,6}:{(68,1),(69,1),(132,1)}
        99:{2,3,4,6}:{(69,1),(70,1),(74,1),(129,1),(135,1),(136,1),(227,1),(327,1),(501,1),(506,1),(540,1)}
       100:{1,3,4,5,7}:{(70,1),(75,1),(130,1),(136,1),(137,1),(145,1),(154,1),(219,1),(223,1),(239,1),(308,1),(334,1),(339,1),(398,1),(414,1),(419,1),(422,1),(425,1),(505,1),(539,1)}
       101:{1,4,5,6,7}:{(71,1),(131,1),(138,1),(312,1),(321,1),(429,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(132,1),(140,1)}
       103:{2,4,6,7}:{(72,1),(74,1),(77,1),(140,1),(141,1),(146,1)}
       104:{1,3,4,5,6}:{(73,1),(78,1),(134,1),(139,1),(142,1),(225,1),(235,1),(326,1),(338,1),(504,1)}
       105:{2,5,6}:{(73,1),(74,1),(140,1),(143,1)}
       106:{1,4,6}:{(74,1),(75,1),(80,1),(143,1)}
       107:{1,2,4,5,7}:{(75,1),(81,1),(137,1),(144,1),(145,1),(153,1),(155,1),(233,1),(240,1),(246,1),(334,1),(339,1),(406,1),(479,1),(539,1),(549,1)}
       108:{1,3,4,7}:{(76,1),(78,1),(146,1),(414,1),(422,1)}
       109:{2,3,5,7}:{(76,1),(77,1),(79,1),(140,1),(146,1),(147,1),(332,1),(341,1)}
       110:{1,3,6,7}:{(77,1),(80,1),(141,1),(147,1),(148,1)}
       111:{2,4,6}:{(78,1),(79,1),(82,1),(146,1),(150,1)}
       112:{1,3,5,6}:{(79,1),(80,1),(83,1),(143,1),(147,1),(150,1),(151,1),(244,1)}
       113:{1,2,6}:{(80,1),(81,1)}
       114:{1,2,3,5,7}:{(81,1),(85,1),(145,1),(152,1),(153,1),(156,1),(246,1),(487,1),(530,1),(549,1)}
       115:{2,3,4,5}:{(82,1),(149,1),(154,1),(248,1),(425,1),(435,1)}
       116:{1,4,5}:{(82,1),(83,1),(150,1)}
       117:{1,2,5}:{(83,1),(84,1)}
       118:{1,2,3,6}:{(84,1),(85,1),(156,1),(244,1)}
       119:{1,2,4,6,7}:{(86,1),(87,1),(92,1),(157,1),(158,1),(168,1),(362,1),(372,1),(452,1)}
       120:{1,2,4,5,6}:{(87,1),(89,1),(93,1),(157,1),(159,1),(170,1),(188,1),(253,1),(267,1),(276,1),(288,1),(368,1),(446,1)}
       121:{1,3,6}:{(87,1),(88,1),(160,1)}
       122:{2,3,5,7}:{(88,1),(91,1),(95,1),(160,1),(161,1),(163,1)}
       123:{1,3,5}:{(89,1),(90,1),(163,1)}
       124:{2,3,4,6}:{(90,1),(91,1),(160,1),(163,1),(164,1),(253,1),(447,1),(451,1)}
       125:{1,3,4,7}:{(91,1),(161,1),(164,1),(165,1),(351,1),(443,1)}
       126:{1,4,5,7}:{(92,1),(93,1),(96,1),(167,1),(184,1)}
       127:{1,3,4,6,7}:{(92,1),(94,1),(97,1),(158,1),(167,1),(168,1),(250,1)}
       128:{1,3,5,6}:{(93,1),(94,1),(98,1),(167,1),(170,1)}
       129:{2,4,6}:{(94,1),(95,1),(160,1),(170,1),(171,1)}
       130:{1,4,5,7}:{(95,1),(161,1),(171,1),(258,1),(264,1),(351,1)}
       131:{2,4,5,6,7}:{(96,1),(101,1),(166,1),(173,1),(182,1),(262,1),(271,1),(372,1),(464,1)}
       132:{3,5,7}:{(96,1),(97,1),(98,1)}
       133:{2,3,4,6,7}:{(97,1),(99,1),(103,1),(168,1),(175,1),(176,1),(191,1),(271,1),(275,1),(279,1),(350,1),(361,1),(375,1),(463,1),(468,1),(518,1)}
       134:{3,4,5,6}:{(98,1),(174,1),(177,1),(377,1),(525,1)}
       135:{2,3,5,6}:{(98,1),(99,1),(105,1),(170,1),(175,1),(177,1),(178,1),(525,1),(527,1),(547,1)}
       136:{1,3,4,6}:{(99,1),(100,1),(106,1),(171,1),(178,1),(179,1),(189,1),(269,1),(288,1),(370,1),(377,1),(528,1),(548,1)}
       137:{2,4,5,7}:{(100,1),(179,1),(180,1),(199,1),(274,1),(290,1),(358,1),(375,1),(378,1),(442,1)}
       138:{1,3,5,6,7}:{(101,1),(102,1),(173,1),(181,1),(182,1),(469,1)}
       139:{1,3,4,5,7}:{(102,1),(104,1),(108,1),(174,1),(181,1),(183,1),(273,1),(282,1),(374,1),(384,1),(469,1)}
       140:{2,5,7}:{(102,1),(103,1),(105,1),(184,1)}
       141:{1,4,6,7}:{(103,1),(106,1),(110,1),(184,1),(192,1)}
       142:{2,4,5,6}:{(104,1),(105,1),(111,1),(183,1),(186,1),(187,1),(286,1),(388,1),(527,1)}
       143:{1,5,6}:{(105,1),(106,1),(184,1)}
       144:{1,2,4,6}:{(106,1),(107,1),(113,1),(179,1),(188,1),(189,1),(288,1),(548,1),(552,1)}
       145:{1,3,5,7}:{(107,1),(180,1),(189,1),(190,1),(200,1),(289,1),(291,1),(450,1),(509,1)}
       146:{2,4,7}:{(108,1),(109,1),(111,1),(192,1)}
       147:{1,3,5,7}:{(109,1),(110,1),(112,1),(184,1),(192,1),(193,1),(291,1)}
       148:{1,2,6,7}:{(110,1),(113,1),(193,1),(379,1)}
       149:{2,3,4,6}:{(111,1),(115,1),(186,1),(191,1),(195,1),(295,1),(377,1),(388,1)}
       150:{1,4,6}:{(111,1),(112,1),(116,1),(192,1)}
       151:{1,2,5,6}:{(112,1),(113,1),(117,1),(193,1),(196,1),(286,1)}
       152:{1,2,3,6}:{(113,1),(114,1),(189,1),(198,1),(552,1)}
       153:{1,2,4,7}:{(114,1),(190,1),(198,1),(201,1),(516,1)}
       154:{1,3,4,5}:{(115,1),(116,1),(195,1),(199,1),(200,1),(298,1),(474,1)}
       155:{1,2,4,5}:{(116,1),(117,1),(196,1),(199,1),(200,1),(201,1)}
       156:{1,2,3,5}:{(117,1),(118,1),(200,1),(201,1)}
       157:{1,2,4,5,7}:{(119,1),(120,1),(126,1),(202,1),(214,1),(233,1),(300,1),(314,1),(323,1),(334,1),(412,1),(479,1)}
       158:{1,3,6,7}:{(119,1),(121,1),(202,1),(203,1),(420,1)}
       159:{1,3,5,6}:{(120,1),(121,1),(123,1),(202,1),(204,1),(205,1),(326,1),(484,1)}
       160:{2,3,6}:{(121,1),(122,1),(129,1),(206,1)}
       161:{1,3,5,7}:{(122,1),(125,1),(130,1),(206,1),(207,1),(209,1)}
       162:{1,3,4,5}:{(123,1),(204,1),(208,1),(339,1),(425,1)}
       163:{2,3,5}:{(123,1),(124,1),(208,1),(209,1)}
       164:{1,3,4,6}:{(124,1),(125,1),(206,1),(209,1),(210,1),(304,1),(403,1),(408,1)}
       165:{1,2,4,7}:{(125,1),(207,1),(210,1),(211,1)}
       166:{1,4,5,6,7}:{(126,1),(131,1),(212,1),(230,1),(321,1),(492,1)}
       167:{1,3,5,7}:{(126,1),(127,1),(128,1),(132,1),(214,1)}
       168:{2,4,6,7}:{(127,1),(129,1),(203,1),(214,1),(215,1),(300,1)}
       169:{1,3,4,5,6}:{(128,1),(134,1),(204,1),(213,1),(216,1),(225,1),(317,1),(326,1),(418,1),(538,1)}
       170:{2,5,6}:{(128,1),(129,1),(214,1),(217,1)}
       171:{1,4,6}:{(129,1),(130,1),(206,1),(217,1)}
       172:{1,2,4,5,7}:{(130,1),(137,1),(207,1),(218,1),(219,1),(247,1),(307,1),(309,1),(315,1),(340,1),(399,1),(405,1),(414,1),(419,1),(505,1),(507,1)}
       173:{3,5,6,7}:{(131,1),(132,1),(220,1),(420,1),(499,1)}
       174:{3,4,5,7}:{(132,1),(134,1),(220,1),(222,1),(422,1),(499,1)}
       175:{2,3,5,7}:{(132,1),(133,1),(135,1),(140,1),(214,1),(222,1),(223,1),(499,1),(503,1),(537,1)}
       176:{1,3,4,6,7}:{(133,1),(136,1),(141,1),(215,1),(223,1),(224,1),(234,1),(239,1),(316,1),(321,1),(329,1),(334,1),(398,1),(409,1),(414,1),(420,1),(422,1),(502,1),(536,1)}
       177:{2,4,5,6}:{(134,1),(135,1),(222,1),(225,1),(327,1)}
       178:{1,3,5,6}:{(135,1),(136,1),(143,1),(217,1),(223,1),(225,1),(226,1),(326,1),(541,1),(551,1)}
       179:{2,4,6}:{(136,1),(137,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(137,1),(145,1),(219,1),(227,1),(228,1),(248,1),(328,1),(341,1),(407,1),(480,1)}
       181:{1,3,4,6,7}:{(138,1),(139,1),(220,1),(229,1),(321,1),(329,1),(420,1)}
       182:{2,5,6,7}:{(138,1),(140,1),(229,1),(230,1),(503,1)}
       183:{2,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(229,1),(231,1),(232,1),(332,1),(431,1),(503,1)}
       184:{1,5,7}:{(140,1),(141,1),(143,1)}
       185:{1,2,4,6,7}:{(141,1),(144,1),(148,1),(224,1),(233,1),(234,1),(240,1),(334,1),(479,1),(489,1),(536,1)}
       186:{2,3,5,6}:{(142,1),(149,1),(231,1),(235,1),(326,1)}
       187:{1,4,5,6}:{(142,1),(143,1),(150,1),(232,1),(235,1),(434,1),(541,1)}
       188:{1,2,5,6}:{(143,1),(144,1),(226,1),(233,1),(237,1),(246,1),(551,1)}
       189:{1,3,6}:{(144,1),(145,1),(227,1)}
       190:{1,3,4,7}:{(145,1),(153,1),(228,1),(238,1),(249,1),(334,1),(488,1)}
       191:{2,3,4,7}:{(146,1),(149,1),(231,1),(239,1),(341,1),(422,1),(431,1)}
       192:{1,4,7}:{(146,1),(147,1),(150,1)}
       193:{1,2,5,7}:{(147,1),(148,1),(151,1),(240,1),(332,1)}
       194:{1,2,3,6,7}:{(148,1),(152,1),(234,1),(241,1),(242,1),(427,1),(439,1),(530,1)}
       195:{1,3,4,6}:{(149,1),(150,1),(154,1),(235,1),(239,1),(243,1),(244,1),(345,1),(434,1)}
       196:{1,2,4,6}:{(150,1),(151,1),(155,1),(240,1),(243,1),(244,1)}
       197:{1,2,3,5,6}:{(151,1),(152,1),(156,1),(237,1),(241,1),(244,1),(245,1),(246,1),(337,1),(344,1),(347,1),(439,1)}
       198:{1,2,4,6}:{(152,1),(153,1),(238,1),(246,1)}
       199:{2,4,5}:{(154,1),(243,1),(248,1)}
       200:{1,3,5}:{(155,1),(244,1),(248,1),(249,1)}
       201:{1,2,4}:{(156,1),(249,1)}
       202:{1,3,5,7}:{(157,1),(158,1),(159,1),(250,1),(251,1),(374,1),(509,1)}
       203:{2,3,6,7}:{(158,1),(160,1),(168,1),(251,1),(252,1),(452,1)}
       204:{1,3,4,6}:{(159,1),(162,1),(250,1),(253,1),(288,1),(377,1)}
       205:{2,3,5,6}:{(159,1),(160,1),(163,1),(170,1),(251,1),(253,1),(254,1),(368,1),(447,1)}
       206:{1,3,6}:{(160,1),(161,1),(171,1),(255,1)}
       207:{1,2,5,7}:{(161,1),(165,1),(255,1),(259,1)}
       208:{2,4,5}:{(162,1),(163,1),(253,1),(258,1)}
       209:{1,3,5}:{(163,1),(164,1),(258,1),(259,1)}
       210:{1,2,4,6}:{(164,1),(165,1),(255,1),(259,1),(260,1),(360,1)}
       211:{1,2,3,7}:{(165,1),(260,1),(443,1)}
       212:{1,3,5,6,7}:{(166,1),(167,1),(173,1),(261,1),(262,1),(519,1)}
       213:{1,3,4,5,7}:{(167,1),(169,1),(174,1),(250,1),(261,1),(263,1),(273,1),(364,1),(374,1),(457,1),(519,1)}
       214:{2,5,7}:{(167,1),(168,1),(170,1),(264,1)}
       215:{1,4,6,7}:{(168,1),(171,1),(252,1),(264,1),(351,1)}
       216:{2,4,5,6}:{(169,1),(170,1),(253,1),(263,1),(266,1),(267,1),(368,1),(461,1),(547,1)}
       217:{1,5,6}:{(170,1),(171,1),(264,1)}
       218:{1,2,4,6}:{(171,1),(172,1),(179,1),(255,1),(268,1),(269,1),(370,1),(528,1),(529,1)}
       219:{1,3,5,7}:{(172,1),(180,1),(269,1),(270,1),(298,1),(359,1),(371,1),(390,1),(443,1)}
       220:{3,4,6,7}:{(173,1),(174,1),(271,1)}
       221:{2,3,5,6,7}:{(173,1),(175,1),(182,1),(262,1),(271,1),(272,1),(279,1),(361,1)}
       222:{2,4,5,7}:{(174,1),(175,1),(177,1),(271,1),(273,1),(375,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(184,1),(264,1),(273,1),(274,1),(374,1),(526,1),(546,1)}
       224:{2,4,6,7}:{(176,1),(179,1),(274,1),(275,1),(290,1),(375,1),(379,1),(442,1),(452,1)}
       225:{1,4,5,6}:{(177,1),(178,1),(273,1),(276,1),(288,1),(370,1)}
       226:{2,5,6}:{(178,1),(179,1),(274,1)}
       227:{2,3,6}:{(179,1),(180,1),(189,1),(269,1)}
       228:{2,3,4,7}:{(180,1),(190,1),(270,1),(278,1),(299,1),(375,1),(451,1)}
       229:{2,4,6,7}:{(181,1),(182,1),(183,1),(279,1),(280,1),(379,1)}
       230:{1,5,6,7}:{(182,1),(184,1),(280,1),(526,1)}
       231:{2,3,5,7}:{(183,1),(186,1),(191,1),(279,1),(282,1),(374,1)}
       232:{1,4,5,7}:{(183,1),(184,1),(187,1),(192,1),(280,1),(282,1),(471,1),(526,1)}
       233:{1,2,5,7}:{(184,1),(185,1),(188,1),(274,1),(284,1),(546,1)}
       234:{1,3,6,7}:{(185,1),(189,1),(275,1),(284,1),(291,1),(509,1)}
       235:{1,3,5,6}:{(186,1),(187,1),(195,1),(282,1),(286,1)}
       236:{1,2,4,5,6}:{(187,1),(188,1),(196,1),(276,1),(283,1),(286,1),(287,1),(288,1),(297,1),(388,1),(393,1),(470,1),(527,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(277,1),(284,1),(288,1),(289,1)}
       238:{1,3,4,6}:{(189,1),(190,1),(198,1),(278,1),(288,1),(289,1)}
       239:{1,3,4,7}:{(191,1),(192,1),(195,1),(282,1),(290,1),(291,1),(390,1),(471,1)}
       240:{1,2,4,7}:{(192,1),(193,1),(196,1),(290,1),(291,1)}
       241:{1,2,3,5,7}:{(193,1),(194,1),(197,1),(284,1),(291,1),(292,1),(293,1),(383,1),(392,1)}
       242:{1,2,4,6,7}:{(194,1),(198,1),(285,1),(292,1),(293,1),(393,1),(468,1),(542,1),(552,1)}
       243:{2,4,6}:{(195,1),(199,1),(286,1),(290,1),(295,1)}
       244:{1,3,6}:{(196,1),(200,1),(291,1),(295,1)}
       245:{1,2,4,6}:{(197,1),(201,1),(288,1),(292,1),(296,1),(297,1),(388,1)}
       246:{1,2,5}:{(198,1),(289,1)}
       247:{1,2,4,5}:{(199,1),(294,1),(298,1),(397,1),(474,1),(478,1)}
       248:{2,3,5}:{(199,1),(200,1),(295,1),(298,1),(299,1)}
       249:{1,3,4}:{(200,1),(201,1),(299,1)}
       250:{1,3,4,7}:{(202,1),(204,1),(300,1),(334,1),(422,1)}
       251:{2,3,5,7}:{(202,1),(203,1),(205,1),(214,1),(300,1),(301,1),(412,1),(480,1)}
       252:{1,3,6,7}:{(203,1),(206,1),(215,1),(301,1),(302,1)}
       253:{2,4,6}:{(204,1),(205,1),(208,1),(300,1),(304,1)}
       254:{1,3,5,6}:{(205,1),(206,1),(209,1),(217,1),(301,1),(304,1),(305,1),(403,1)}
       255:{1,2,6}:{(206,1),(207,1)}
       256:{1,2,3,5,7}:{(207,1),(211,1),(219,1),(306,1),(307,1),(310,1),(348,1),(405,1),(436,1),(507,1)}
       257:{2,3,4,5}:{(208,1),(303,1),(308,1),(407,1),(425,1),(498,1)}
       258:{1,4,5}:{(208,1),(209,1),(304,1)}
       259:{1,2,5}:{(209,1),(210,1)}
       260:{1,2,3,6}:{(210,1),(211,1),(310,1),(403,1)}
       261:{1,3,4,6,7}:{(212,1),(213,1),(220,1),(311,1),(321,1),(409,1),(420,1)}
       262:{2,5,6,7}:{(212,1),(214,1),(311,1),(312,1),(537,1)}
       263:{2,4,5,7}:{(213,1),(214,1),(216,1),(300,1),(311,1),(313,1),(314,1),(412,1),(494,1),(537,1)}
       264:{1,5,7}:{(214,1),(215,1),(217,1)}
       265:{1,2,4,6,7}:{(215,1),(218,1),(224,1),(302,1),(315,1),(316,1),(340,1),(399,1),(414,1),(426,1),(502,1)}
       266:{2,3,5,6}:{(216,1),(303,1),(313,1),(317,1),(326,1)}
       267:{1,4,5,6}:{(216,1),(217,1),(304,1),(314,1),(317,1),(497,1),(551,1)}
       268:{1,2,5,6}:{(217,1),(218,1),(226,1),(315,1),(319,1),(405,1),(541,1)}
       269:{1,3,6}:{(218,1),(219,1),(227,1)}
       270:{1,3,4,7}:{(219,1),(228,1),(307,1),(320,1),(349,1),(408,1),(414,1)}
       271:{2,4,6,7}:{(220,1),(221,1),(222,1),(321,1)}
       272:{1,3,5,6,7}:{(221,1),(223,1),(230,1),(312,1),(321,1),(322,1),(329,1),(409,1),(420,1)}
       273:{1,4,5,7}:{(222,1),(223,1),(225,1),(321,1),(323,1),(334,1),(414,1)}
       274:{2,5,7}:{(223,1),(224,1),(226,1)}
       275:{2,3,6,7}:{(224,1),(227,1),(234,1),(316,1),(324,1),(341,1),(420,1),(480,1)}
       276:{2,4,5,6}:{(225,1),(226,1),(323,1),(326,1),(327,1)}
       277:{2,3,5,6}:{(226,1),(227,1),(237,1),(319,1),(324,1),(326,1),(327,1),(328,1)}
       278:{2,3,4,6}:{(227,1),(228,1),(238,1),(320,1),(327,1),(328,1)}
       279:{2,3,6,7}:{(229,1),(231,1),(329,1),(420,1)}
       280:{1,4,6,7}:{(229,1),(230,1),(232,1),(329,1)}
       281:{1,2,5,6,7}:{(230,1),(233,1),(322,1),(330,1),(331,1),(344,1),(489,1),(503,1)}
       282:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(329,1),(332,1)}
       283:{1,2,4,5,7}:{(232,1),(233,1),(236,1),(240,1),(323,1),(330,1),(332,1),(333,1),(334,1),(429,1),(431,1),(503,1)}
       284:{1,3,5,7}:{(233,1),(234,1),(237,1),(324,1),(334,1)}
       285:{1,3,4,6,7}:{(234,1),(238,1),(242,1),(325,1),(334,1),(335,1),(342,1),(433,1),(439,1),(531,1),(536,1),(550,1)}
       286:{2,5,6}:{(235,1),(243,1),(332,1)}
       287:{1,3,5,6}:{(236,1),(244,1),(326,1),(333,1),(337,1),(338,1),(347,1),(439,1)}
       288:{1,4,6}:{(237,1),(327,1),(334,1),(339,1)}
       289:{1,3,5}:{(238,1),(246,1),(328,1),(339,1)}
       290:{2,4,7}:{(239,1),(243,1),(332,1),(341,1)}
       291:{1,3,7}:{(240,1),(244,1),(341,1)}
       292:{1,2,4,7}:{(241,1),(245,1),(334,1),(342,1),(431,1)}
       293:{1,2,5,7}:{(242,1),(246,1),(335,1),(344,1),(503,1)}
       294:{1,2,4,6}:{(243,1),(247,1),(336,1),(340,1),(345,1),(434,1)}
       295:{2,3,6}:{(243,1),(244,1),(248,1),(341,1),(345,1)}
       296:{1,3,4,6}:{(244,1),(245,1),(249,1),(342,1),(346,1),(347,1),(439,1)}
       297:{1,2,4,5}:{(245,1),(246,1),(339,1),(347,1),(435,1)}
       298:{1,3,5}:{(247,1),(248,1),(345,1),(349,1)}
       299:{2,3,4}:{(248,1),(249,1),(349,1)}
       300:{2,4,7}:{(250,1),(251,1),(253,1),(351,1)}
       301:{1,3,5,7}:{(251,1),(252,1),(254,1),(264,1),(351,1),(352,1),(443,1)}
       302:{1,2,6,7}:{(252,1),(255,1),(352,1),(452,1)}
       303:{2,3,4,6}:{(253,1),(257,1),(266,1),(350,1),(354,1),(377,1),(447,1),(461,1)}
       304:{1,4,6}:{(253,1),(254,1),(258,1),(351,1)}
       305:{1,2,5,6}:{(254,1),(255,1),(259,1),(352,1),(355,1),(368,1)}
       306:{1,2,3,6}:{(255,1),(256,1),(269,1),(357,1),(529,1)}
       307:{1,2,4,7}:{(256,1),(270,1),(357,1),(360,1),(397,1)}
       308:{1,3,4,5}:{(257,1),(258,1),(354,1),(358,1),(359,1),(450,1),(524,1)}
       309:{1,2,4,5}:{(258,1),(259,1),(355,1),(358,1),(359,1),(360,1)}
       310:{1,2,3,5}:{(259,1),(260,1),(359,1),(360,1)}
       311:{2,4,6,7}:{(261,1),(262,1),(263,1),(361,1),(362,1),(452,1)}
       312:{1,5,6,7}:{(262,1),(264,1),(362,1),(546,1)}
       313:{2,3,5,7}:{(263,1),(266,1),(350,1),(361,1),(364,1),(374,1)}
       314:{1,4,5,7}:{(263,1),(264,1),(267,1),(351,1),(362,1),(364,1),(521,1),(546,1)}
       315:{1,2,5,7}:{(264,1),(265,1),(268,1),(274,1),(366,1),(526,1)}
       316:{1,3,6,7}:{(265,1),(269,1),(275,1),(366,1),(390,1),(443,1)}
       317:{1,3,5,6}:{(266,1),(267,1),(354,1),(364,1),(368,1)}
       318:{1,2,4,5,6}:{(267,1),(268,1),(276,1),(355,1),(365,1),(368,1),(369,1),(370,1),(449,1),(461,1),(512,1),(520,1),(547,1)}
       319:{1,3,5,6}:{(268,1),(269,1),(277,1),(366,1),(370,1),(371,1)}
       320:{1,3,4,6}:{(269,1),(270,1),(278,1),(357,1),(370,1),(371,1)}
       321:{1,4,6,7}:{(271,1),(272,1),(273,1),(372,1)}
       322:{2,5,6,7}:{(272,1),(274,1),(372,1),(379,1),(452,1)}
       323:{2,4,5,7}:{(273,1),(274,1),(276,1),(372,1),(374,1),(375,1)}
       324:{2,3,5,7}:{(274,1),(275,1),(277,1),(284,1),(366,1),(374,1),(375,1)}
       325:{2,3,4,6,7}:{(275,1),(278,1),(285,1),(367,1),(375,1),(376,1),(391,1),(463,1),(466,1),(468,1),(477,1),(510,1),(518,1),(544,1)}
       326:{3,5,6}:{(276,1),(374,1),(377,1)}
       327:{2,4,6}:{(277,1),(288,1),(370,1),(375,1),(377,1),(378,1)}
       328:{2,3,5}:{(278,1),(289,1),(371,1),(378,1)}
       329:{1,3,6,7}:{(279,1),(280,1),(282,1),(379,1)}
       330:{1,2,4,6,7}:{(280,1),(281,1),(283,1),(372,1),(379,1),(380,1),(381,1),(393,1),(468,1)}
       331:{1,3,5,6,7}:{(281,1),(284,1),(373,1),(380,1),(381,1),(386,1),(469,1),(517,1),(546,1)}
       332:{2,5,7}:{(282,1),(286,1),(290,1),(379,1)}
       333:{1,3,5,7}:{(283,1),(287,1),(291,1),(374,1),(380,1),(383,1),(384,1)}
       334:{1,4,7}:{(284,1),(288,1),(375,1)}
       335:{1,3,5,7}:{(285,1),(289,1),(293,1),(376,1),(385,1),(386,1),(546,1)}
       336:{1,2,5,6}:{(286,1),(294,1),(382,1),(387,1),(478,1),(529,1)}
       337:{2,3,5,6}:{(286,1),(287,1),(295,1),(383,1),(387,1),(388,1),(396,1),(477,1),(527,1)}
       338:{1,3,4,6}:{(287,1),(288,1),(377,1),(384,1),(388,1),(389,1)}
       339:{1,4,5}:{(288,1),(289,1),(378,1)}
       340:{1,2,4,7}:{(290,1),(294,1),(382,1),(390,1),(471,1)}
       341:{2,3,7}:{(290,1),(291,1),(295,1),(390,1)}
       342:{1,3,4,7}:{(291,1),(292,1),(296,1),(391,1),(392,1)}
       343:{1,2,4,5,7}:{(292,1),(293,1),(297,1),(385,1),(392,1),(393,1),(472,1)}
       344:{1,2,5,6}:{(293,1),(386,1),(393,1),(527,1),(552,1)}
       345:{1,3,6}:{(294,1),(295,1),(298,1),(390,1)}
       346:{2,3,4,6}:{(295,1),(296,1),(299,1),(388,1),(391,1),(395,1),(396,1),(477,1)}
       347:{1,3,5}:{(296,1),(297,1),(396,1)}
       348:{1,2,3,5}:{(298,1),(394,1),(397,1),(478,1)}
       349:{1,3,4}:{(298,1),(299,1),(397,1)}
       350:{2,3,4,7}:{(300,1),(303,1),(313,1),(398,1),(422,1),(480,1),(494,1)}
       351:{1,4,7}:{(300,1),(301,1),(304,1)}
       352:{1,2,5,7}:{(301,1),(302,1),(305,1),(399,1),(412,1)}
       353:{1,2,3,6,7}:{(302,1),(306,1),(316,1),(400,1),(401,1),(436,1),(490,1),(533,1)}
       354:{1,3,4,6}:{(303,1),(304,1),(308,1),(317,1),(398,1),(402,1),(403,1),(484,1),(497,1)}
       355:{1,2,4,6}:{(304,1),(305,1),(309,1),(399,1),(402,1),(403,1)}
       356:{1,2,3,5,6}:{(305,1),(306,1),(310,1),(319,1),(400,1),(403,1),(404,1),(405,1),(417,1),(483,1),(486,1),(533,1)}
       357:{1,2,4,6}:{(306,1),(307,1),(320,1),(405,1)}
       358:{2,4,5}:{(308,1),(402,1),(407,1)}
       359:{1,3,5}:{(309,1),(403,1),(407,1),(408,1)}
       360:{1,2,4}:{(310,1),(408,1)}
       361:{2,3,6,7}:{(311,1),(313,1),(409,1),(420,1)}
       362:{1,4,6,7}:{(311,1),(312,1),(314,1),(409,1)}
       363:{1,2,5,6,7}:{(312,1),(315,1),(322,1),(410,1),(411,1),(426,1),(483,1),(537,1)}
       364:{1,3,5,7}:{(313,1),(314,1),(317,1),(398,1),(409,1),(412,1)}
       365:{1,2,4,5,7}:{(314,1),(315,1),(318,1),(323,1),(399,1),(410,1),(412,1),(413,1),(414,1),(492,1),(494,1),(537,1)}
       366:{1,3,5,7}:{(315,1),(316,1),(319,1),(324,1),(414,1)}
       367:{1,3,4,6,7}:{(316,1),(320,1),(325,1),(401,1),(414,1),(415,1),(437,1),(481,1),(496,1),(502,1),(508,1),(533,1)}
       368:{2,5,6}:{(317,1),(402,1),(412,1)}
       369:{1,3,5,6}:{(318,1),(326,1),(403,1),(413,1),(417,1),(418,1),(486,1),(533,1)}
       370:{1,4,6}:{(319,1),(327,1),(414,1),(419,1)}
       371:{1,3,5}:{(320,1),(328,1),(405,1),(419,1)}
       372:{2,4,6,7}:{(321,1),(322,1),(323,1),(420,1)}
       373:{2,3,5,6,7}:{(322,1),(324,1),(331,1),(411,1),(420,1),(421,1),(424,1),(427,1),(490,1),(499,1),(503,1),(537,1)}
       374:{3,5,7}:{(323,1),(326,1),(420,1),(422,1)}
       375:{2,4,7}:{(324,1),(327,1),(334,1),(414,1),(422,1)}
       376:{2,3,5,7}:{(325,1),(328,1),(335,1),(415,1),(423,1),(424,1),(499,1),(503,1),(537,1)}
       377:{3,4,6}:{(326,1),(327,1),(422,1),(425,1)}
       378:{2,4,5}:{(327,1),(328,1),(339,1),(419,1),(425,1)}
       379:{2,6,7}:{(329,1),(332,1)}
       380:{1,3,6,7}:{(330,1),(333,1),(420,1),(427,1),(439,1)}
       381:{1,4,6,7}:{(331,1),(334,1),(421,1),(429,1),(433,1)}
       382:{1,2,5,7}:{(332,1),(336,1),(340,1),(426,1),(430,1)}
       383:{2,3,5,7}:{(332,1),(333,1),(337,1),(341,1),(427,1),(430,1),(431,1),(503,1)}
       384:{1,3,4,7}:{(333,1),(334,1),(338,1),(422,1),(431,1)}
       385:{1,4,5,7}:{(334,1),(335,1),(339,1),(423,1),(433,1)}
       386:{1,3,5,6}:{(335,1),(344,1),(424,1),(433,1),(439,1),(550,1),(551,1)}
       387:{1,3,5,6}:{(336,1),(337,1),(345,1),(430,1),(434,1),(441,1),(508,1),(541,1)}
       388:{2,4,6}:{(337,1),(338,1),(431,1),(434,1),(435,1)}
       389:{1,3,4,5}:{(338,1),(339,1),(347,1),(425,1),(435,1)}
       390:{1,3,7}:{(340,1),(341,1),(345,1)}
       391:{2,3,4,7}:{(341,1),(342,1),(346,1),(431,1),(437,1),(438,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(347,1),(438,1),(439,1)}
       393:{1,2,4,6}:{(343,1),(344,1),(433,1),(439,1),(506,1)}
       394:{1,2,3,6}:{(345,1),(348,1),(436,1),(440,1)}
       395:{1,3,4,6}:{(345,1),(346,1),(349,1),(434,1),(437,1),(440,1),(441,1),(508,1)}
       396:{2,3,5}:{(346,1),(347,1),(435,1),(441,1)}
       397:{1,2,4}:{(348,1),(349,1)}
       398:{1,3,4,7}:{(350,1),(351,1),(354,1),(364,1),(442,1),(443,1),(509,1),(521,1)}
       399:{1,2,4,7}:{(351,1),(352,1),(355,1),(442,1),(443,1)}
       400:{1,2,3,5,7}:{(352,1),(353,1),(356,1),(366,1),(443,1),(444,1),(445,1),(456,1),(511,1)}
       401:{1,2,4,6,7}:{(353,1),(357,1),(367,1),(444,1),(445,1),(475,1),(512,1),(518,1),(529,1)}
       402:{2,4,6}:{(354,1),(358,1),(368,1),(442,1),(447,1)}
       403:{1,3,6}:{(355,1),(359,1),(443,1),(447,1)}
       404:{1,2,4,6}:{(356,1),(360,1),(370,1),(444,1),(448,1),(449,1),(461,1)}
       405:{1,2,5}:{(357,1),(371,1)}
       406:{1,2,4,5}:{(358,1),(446,1),(450,1),(516,1),(524,1),(545,1)}
       407:{2,3,5}:{(358,1),(359,1),(447,1),(450,1),(451,1)}
       408:{1,3,4}:{(359,1),(360,1),(451,1)}
       409:{1,3,6,7}:{(361,1),(362,1),(364,1),(452,1)}
       410:{1,2,4,6,7}:{(362,1),(363,1),(365,1),(372,1),(452,1),(453,1),(454,1),(512,1),(518,1)}
       411:{1,3,5,6,7}:{(363,1),(366,1),(373,1),(453,1),(454,1),(459,1),(467,1),(519,1),(526,1)}
       412:{2,5,7}:{(364,1),(368,1),(442,1),(452,1)}
       413:{1,3,5,7}:{(365,1),(369,1),(374,1),(443,1),(453,1),(456,1),(457,1)}
       414:{1,4,7}:{(366,1),(370,1),(375,1)}
       415:{1,3,5,7}:{(367,1),(371,1),(376,1),(445,1),(458,1),(459,1),(526,1)}
       416:{1,2,5,6}:{(368,1),(446,1),(455,1),(460,1),(545,1),(552,1)}
       417:{2,3,5,6}:{(368,1),(369,1),(447,1),(456,1),(460,1),(461,1),(515,1),(544,1),(547,1)}
       418:{1,3,4,6}:{(369,1),(370,1),(377,1),(457,1),(461,1),(462,1)}
       419:{1,4,5}:{(370,1),(371,1),(378,1)}
       420:{3,6,7}:{(372,1),(374,1)}
       421:{2,4,6,7}:{(373,1),(375,1),(381,1),(454,1),(463,1),(464,1),(466,1)}
       422:{3,4,7}:{(374,1),(375,1),(377,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(378,1),(385,1),(458,1),(465,1),(466,1)}
       424:{2,3,5,6}:{(376,1),(386,1),(459,1),(466,1),(477,1),(525,1),(527,1),(544,1),(547,1)}
       425:{3,4,5}:{(377,1),(378,1)}
       426:{1,2,6,7}:{(379,1),(382,1),(467,1),(529,1)}
       427:{2,3,6,7}:{(379,1),(380,1),(383,1),(467,1),(468,1),(477,1)}
       428:{1,3,4,6,7}:{(380,1),(381,1),(384,1),(463,1),(468,1),(469,1),(473,1)}
       429:{1,4,5,7}:{(381,1),(464,1),(469,1),(470,1),(546,1)}
       430:{1,3,5,7}:{(382,1),(383,1),(387,1),(390,1),(467,1),(471,1),(526,1)}
       431:{2,4,7}:{(383,1),(384,1),(388,1),(471,1)}
       432:{1,3,4,5,7}:{(384,1),(385,1),(389,1),(392,1),(465,1),(469,1),(472,1),(473,1)}
       433:{1,4,6}:{(385,1),(386,1),(466,1)}
       434:{1,4,6}:{(387,1),(388,1),(471,1),(474,1)}
       435:{2,4,5}:{(388,1),(389,1),(396,1),(474,1)}
       436:{1,2,3,7}:{(390,1),(394,1),(475,1)}
       437:{1,3,4,7}:{(390,1),(391,1),(395,1),(471,1),(475,1),(476,1)}
       438:{2,3,5,7}:{(391,1),(392,1),(396,1),(472,1),(476,1),(477,1)}
       439:{1,3,6}:{(392,1),(393,1),(477,1)}
       440:{1,2,4,6}:{(394,1),(395,1),(397,1),(475,1),(478,1),(529,1)}
       441:{1,3,5}:{(395,1),(396,1),(474,1),(478,1)}
       442:{2,4,7}:{(398,1),(402,1),(412,1),(480,1)}
       443:{1,3,7}:{(399,1),(403,1),(480,1)}
       444:{1,2,4,7}:{(400,1),(404,1),(414,1),(481,1),(494,1)}
       445:{1,2,5,7}:{(401,1),(405,1),(415,1),(483,1),(537,1)}
       446:{1,2,4,6}:{(402,1),(406,1),(416,1),(479,1),(484,1),(497,1)}
       447:{2,3,6}:{(402,1),(403,1),(407,1),(480,1),(484,1)}
       448:{1,3,4,6}:{(403,1),(404,1),(408,1),(481,1),(485,1),(486,1),(533,1)}
       449:{1,2,4,5}:{(404,1),(405,1),(419,1),(486,1),(498,1)}
       450:{1,3,5}:{(406,1),(407,1),(484,1),(488,1)}
       451:{2,3,4}:{(407,1),(408,1),(488,1)}
       452:{2,6,7}:{(409,1),(412,1)}
       453:{1,3,6,7}:{(410,1),(413,1),(420,1),(490,1),(533,1)}
       454:{1,4,6,7}:{(411,1),(414,1),(421,1),(492,1),(496,1)}
       455:{1,2,5,7}:{(412,1),(416,1),(479,1),(489,1),(493,1)}
       456:{2,3,5,7}:{(412,1),(413,1),(417,1),(480,1),(490,1),(493,1),(494,1),(537,1)}
       457:{1,3,4,7}:{(413,1),(414,1),(418,1),(422,1),(494,1)}
       458:{1,4,5,7}:{(414,1),(415,1),(419,1),(423,1),(496,1)}
       459:{1,3,5,6}:{(415,1),(424,1),(483,1),(496,1),(508,1),(533,1),(541,1)}
       460:{1,3,5,6}:{(416,1),(417,1),(484,1),(493,1),(497,1),(535,1),(550,1),(551,1)}
       461:{2,4,6}:{(417,1),(418,1),(494,1),(497,1),(498,1)}
       462:{1,3,4,5}:{(418,1),(419,1),(425,1),(486,1),(498,1)}
       463:{3,4,6,7}:{(420,1),(421,1),(422,1),(499,1),(501,1)}
       464:{2,4,5,7}:{(421,1),(429,1),(492,1),(499,1),(500,1),(503,1),(537,1)}
       465:{3,4,5,7}:{(422,1),(423,1),(425,1),(499,1),(501,1)}
       466:{2,4,6}:{(423,1),(424,1),(433,1),(496,1),(501,1)}
       467:{1,3,6,7}:{(426,1),(427,1),(430,1),(502,1),(508,1)}
       468:{2,4,6,7}:{(427,1),(428,1),(431,1),(502,1),(503,1),(506,1)}
       469:{1,3,5,7}:{(428,1),(429,1),(499,1),(503,1),(504,1)}
       470:{1,4,5,6}:{(429,1),(433,1),(500,1),(504,1),(551,1)}
       471:{1,4,7}:{(430,1),(431,1),(434,1)}
       472:{2,4,5,7}:{(431,1),(432,1),(435,1),(438,1),(503,1),(505,1),(506,1)}
       473:{1,3,4,6}:{(432,1),(433,1),(439,1),(501,1),(504,1),(506,1)}
       474:{1,4,5}:{(434,1),(435,1),(441,1)}
       475:{1,2,4,7}:{(436,1),(437,1),(440,1),(507,1)}
       476:{1,3,5,7}:{(437,1),(438,1),(441,1),(505,1),(507,1),(508,1)}
       477:{2,3,6}:{(438,1),(439,1),(506,1),(508,1)}
       478:{1,2,5}:{(440,1),(441,1)}
       479:{1,2,4,7}:{(442,1),(446,1),(455,1),(509,1),(521,1)}
       480:{2,3,7}:{(442,1),(443,1),(447,1),(509,1)}
       481:{1,3,4,7}:{(443,1),(444,1),(448,1),(510,1),(511,1)}
       482:{1,2,4,5,7}:{(444,1),(445,1),(449,1),(458,1),(511,1),(512,1),(522,1)}
       483:{1,2,5,6}:{(445,1),(459,1),(512,1),(529,1),(547,1)}
       484:{1,3,6}:{(446,1),(447,1),(450,1),(509,1)}
       485:{2,3,4,6}:{(447,1),(448,1),(451,1),(461,1),(510,1),(514,1),(515,1),(544,1)}
       486:{1,3,5}:{(448,1),(449,1),(515,1)}
       487:{1,2,3,5}:{(450,1),(513,1),(516,1),(545,1)}
       488:{1,3,4}:{(450,1),(451,1),(516,1)}
       489:{1,2,6,7}:{(452,1),(455,1),(517,1),(552,1)}
       490:{2,3,6,7}:{(452,1),(453,1),(456,1),(517,1),(518,1),(544,1)}
       491:{1,3,4,6,7}:{(453,1),(454,1),(457,1),(463,1),(518,1),(519,1),(523,1)}
       492:{1,4,5,7}:{(454,1),(464,1),(519,1),(520,1),(526,1)}
       493:{1,3,5,7}:{(455,1),(456,1),(460,1),(509,1),(517,1),(521,1),(546,1)}
       494:{2,4,7}:{(456,1),(457,1),(461,1),(521,1)}
       495:{1,3,4,5,7}:{(457,1),(458,1),(462,1),(465,1),(511,1),(519,1),(522,1),(523,1)}
       496:{1,4,6}:{(458,1),(459,1),(466,1)}
       497:{1,4,6}:{(460,1),(461,1),(521,1),(524,1)}
       498:{2,4,5}:{(461,1),(462,1),(515,1),(524,1)}
       499:{3,5,7}:{(463,1),(464,1),(525,1)}
       500:{2,4,5,6}:{(464,1),(466,1),(470,1),(520,1),(525,1),(527,1),(547,1)}
       501:{3,4,6}:{(465,1),(466,1),(525,1)}
       502:{1,4,6,7}:{(467,1),(468,1),(471,1),(526,1),(528,1)}
       503:{2,5,7}:{(468,1),(469,1),(526,1),(527,1)}
       504:{1,3,5,6}:{(469,1),(470,1),(473,1),(525,1),(527,1)}
       505:{1,4,5,7}:{(471,1),(472,1),(474,1),(476,1),(526,1),(528,1)}
       506:{2,4,6}:{(472,1),(473,1),(477,1),(527,1),(528,1)}
       507:{1,2,5,7}:{(475,1),(476,1),(478,1),(529,1)}
       508:{1,3,6}:{(476,1),(477,1),(528,1),(529,1)}
       509:{1,3,7}:{(479,1),(480,1),(484,1)}
       510:{2,3,4,7}:{(480,1),(481,1),(485,1),(494,1),(531,1),(532,1)}
       511:{1,3,5,7}:{(481,1),(482,1),(486,1),(532,1),(533,1)}
       512:{1,2,4,6}:{(482,1),(483,1),(496,1),(533,1),(540,1)}
       513:{1,2,3,6}:{(484,1),(487,1),(530,1),(534,1)}
       514:{1,3,4,6}:{(484,1),(485,1),(488,1),(497,1),(531,1),(534,1),(535,1),(550,1)}
       515:{2,3,5}:{(485,1),(486,1),(498,1),(535,1)}
       516:{1,2,4}:{(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(493,1),(536,1),(550,1)}
       518:{2,4,6,7}:{(490,1),(491,1),(494,1),(536,1),(537,1),(540,1)}
       519:{1,3,5,7}:{(491,1),(492,1),(499,1),(537,1),(538,1)}
       520:{1,4,5,6}:{(492,1),(496,1),(500,1),(538,1),(541,1)}
       521:{1,4,7}:{(493,1),(494,1),(497,1)}
       522:{2,4,5,7}:{(494,1),(495,1),(498,1),(532,1),(537,1),(539,1),(540,1)}
       523:{1,3,4,6}:{(495,1),(496,1),(501,1),(533,1),(538,1),(540,1)}
       524:{1,4,5}:{(497,1),(498,1),(535,1)}
       525:{3,5,6}:{(499,1),(500,1),(501,1)}
       526:{1,5,7}:{(502,1),(503,1),(541,1)}
       527:{2,5,6}:{(503,1),(504,1),(506,1),(541,1)}
       528:{1,4,6}:{(505,1),(506,1),(508,1),(541,1)}
       529:{1,2,6}:{(507,1),(508,1)}
       530:{1,2,3,7}:{(509,1),(513,1),(542,1)}
       531:{1,3,4,7}:{(509,1),(510,1),(514,1),(521,1),(542,1),(543,1)}
       532:{2,3,5,7}:{(510,1),(511,1),(515,1),(522,1),(543,1),(544,1)}
       533:{1,3,6}:{(511,1),(512,1),(544,1)}
       534:{1,2,4,6}:{(513,1),(514,1),(516,1),(542,1),(545,1),(552,1)}
       535:{1,3,5}:{(514,1),(515,1),(524,1),(545,1)}
       536:{1,4,6,7}:{(517,1),(518,1),(521,1),(546,1),(548,1)}
       537:{2,5,7}:{(518,1),(519,1),(546,1),(547,1)}
       538:{1,3,5,6}:{(519,1),(520,1),(523,1),(525,1),(547,1)}
       539:{1,4,5,7}:{(521,1),(522,1),(524,1),(543,1),(546,1),(548,1)}
       540:{2,4,6}:{(522,1),(523,1),(544,1),(547,1),(548,1)}
       541:{1,5,6}:{(526,1),(527,1),(528,1)}
       542:{1,2,4,7}:{(530,1),(531,1),(534,1),(549,1)}
       543:{1,3,5,7}:{(531,1),(532,1),(535,1),(539,1),(549,1),(550,1)}
       544:{2,3,6}:{(532,1),(533,1),(540,1),(550,1)}
       545:{1,2,5}:{(534,1),(535,1)}
       546:{1,5,7}:{(536,1),(537,1),(551,1)}
       547:{2,5,6}:{(537,1),(538,1),(540,1),(551,1)}
       548:{1,4,6}:{(539,1),(540,1),(550,1),(551,1)}
       549:{1,2,5,7}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,3,6}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,5,6}:{(546,1),(547,1),(548,1)}
       552:{1,2,6}:{(549,1),(550,1)}

1149 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(43,1),(117,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(23,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(66,1)}
         3:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(25,1),(141,1),(168,1)}
         4:{1,3,4,6}:{(3,1),(8,1),(9,1),(10,1),(11,1),(37,1),(38,1),(43,1),(118,1),(158,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(9,1),(13,1),(173,1)}
         7:{1,2,5}:{(3,1),(10,1)}
         8:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(22,1),(54,1),(55,1),(65,1),(92,1),(143,1)}
         9:{1,3,4,7}:{(4,1),(6,1),(17,1),(20,1),(61,1),(66,1),(169,1)}
        10:{1,3,5}:{(4,1),(7,1),(18,1),(19,1)}
        11:{1,3,4}:{(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(19,1),(23,1),(24,1),(58,1)}
        13:{1,2,5,7}:{(6,1),(7,1),(20,1),(25,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(24,1),(25,1),(26,1),(109,1),(168,1)}
        15:{1,2,3,6}:{(27,1),(28,1),(29,1),(40,1),(120,1)}
        16:{1,3,4,6}:{(8,1),(29,1),(30,1),(31,1),(41,1),(67,1),(73,1),(74,1),(90,1),(120,1)}
        17:{2,3,4,7}:{(8,1),(9,1),(30,1),(33,1),(80,1),(91,1),(159,1)}
        18:{2,3,5}:{(8,1),(10,1),(31,1),(32,1)}
        19:{1,4,5}:{(10,1),(32,1),(37,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(36,1),(38,1)}
        21:{1,3,5,6}:{(10,1),(14,1),(34,1),(37,1),(38,1),(39,1),(43,1),(87,1),(158,1),(160,1)}
        22:{2,3,4}:{(11,1),(41,1),(42,1)}
        23:{1,3,5}:{(11,1),(12,1),(42,1),(43,1)}
        24:{1,2,4,6}:{(12,1),(14,1),(37,1),(43,1),(44,1),(85,1)}
        25:{1,2,6}:{(13,1),(38,1)}
        26:{1,2,5,7}:{(14,1),(39,1),(44,1),(45,1),(136,1),(173,1)}
        27:{1,2,3,5}:{(15,1),(46,1),(48,1),(93,1)}
        28:{1,2,3,7}:{(15,1),(47,1),(144,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(46,1),(47,1),(48,1),(63,1),(95,1),(115,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(47,1),(50,1),(101,1),(116,1),(144,1)}
        31:{1,3,5}:{(16,1),(18,1),(48,1),(49,1)}
        32:{2,4,5}:{(18,1),(19,1),(49,1),(52,1),(54,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(20,1),(50,1),(53,1),(55,1)}
        34:{2,3,5,6}:{(18,1),(21,1),(51,1),(54,1),(55,1),(56,1),(65,1),(103,1),(107,1),(109,1),(143,1),(145,1)}
        35:{1,3,4,5}:{(19,1),(23,1),(52,1),(58,1),(59,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(53,1),(60,1),(61,1),(114,1)}
        37:{1,4,6}:{(19,1),(21,1),(54,1),(61,1)}
        38:{1,3,6}:{(20,1),(25,1),(55,1),(60,1)}
        39:{1,3,5,7}:{(21,1),(26,1),(56,1),(61,1),(62,1),(66,1),(114,1),(169,1),(170,1)}
        40:{1,2,3}:{(63,1)}
        41:{1,3,4}:{(22,1),(63,1),(64,1)}
        42:{2,3,5}:{(22,1),(23,1),(58,1),(64,1),(65,1)}
        43:{1,3,6}:{(23,1),(24,1),(65,1),(66,1)}
        44:{1,2,4,7}:{(24,1),(26,1),(61,1),(66,1),(113,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(62,1),(156,1)}
        46:{1,2,4}:{(27,1),(67,1)}
        47:{1,2,4,7}:{(28,1),(29,1),(30,1),(69,1),(140,1)}
        48:{1,2,5}:{(29,1),(31,1)}
        49:{1,4,5}:{(31,1),(32,1),(73,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(33,1),(69,1),(72,1),(74,1)}
        51:{1,3,5,6}:{(31,1),(34,1),(70,1),(73,1),(74,1),(75,1),(90,1),(120,1),(128,1),(135,1)}
        52:{3,4,5}:{(32,1),(78,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(36,1),(72,1),(77,1),(79,1),(80,1),(134,1)}
        54:{2,4,6}:{(32,1),(34,1),(37,1),(73,1),(78,1),(80,1)}
        55:{2,3,6}:{(33,1),(38,1),(74,1),(79,1)}
        56:{2,3,5,7}:{(34,1),(39,1),(75,1),(80,1),(81,1),(91,1),(130,1),(134,1),(136,1),(159,1),(161,1)}
        57:{1,4,5,6}:{(37,1),(76,1),(82,1),(83,1),(87,1),(160,1)}
        58:{2,4,5}:{(35,1),(42,1),(84,1),(85,1)}
        59:{1,3,4,6}:{(35,1),(37,1),(43,1),(78,1),(82,1),(85,1),(86,1)}
        60:{1,4,6}:{(36,1),(38,1),(79,1),(87,1)}
        61:{1,4,7}:{(37,1),(39,1),(80,1)}
        62:{1,3,6,7}:{(38,1),(39,1),(45,1),(81,1),(88,1),(174,1)}
        63:{1,2,4}:{(40,1),(41,1),(89,1)}
        64:{1,3,5}:{(41,1),(42,1),(84,1),(89,1),(90,1)}
        65:{2,3,6}:{(42,1),(43,1),(85,1),(90,1),(91,1)}
        66:{1,3,7}:{(43,1),(44,1),(91,1)}
        67:{1,3,4}:{(46,1),(92,1),(93,1)}
        68:{1,2,4,5}:{(46,1),(48,1),(49,1),(93,1),(94,1),(98,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(50,1),(95,1)}
        70:{1,2,5,6}:{(48,1),(51,1),(94,1),(95,1),(96,1),(115,1),(145,1)}
        71:{1,3,4,5}:{(49,1),(52,1),(93,1),(98,1),(99,1)}
        72:{1,4,5,7}:{(49,1),(50,1),(53,1),(100,1),(101,1),(150,1)}
        73:{1,4,6}:{(49,1),(51,1),(54,1),(101,1)}
        74:{1,3,6}:{(50,1),(55,1),(95,1),(100,1)}
        75:{1,3,5,7}:{(51,1),(56,1),(96,1),(101,1),(102,1),(116,1),(144,1),(150,1),(155,1)}
        76:{2,4,5,6}:{(54,1),(57,1),(97,1),(103,1),(104,1),(107,1),(109,1),(145,1),(153,1)}
        77:{3,4,5,7}:{(52,1),(53,1),(105,1),(106,1),(154,1)}
        78:{3,4,6}:{(52,1),(54,1),(103,1),(106,1)}
        79:{2,4,6}:{(53,1),(55,1),(60,1),(100,1),(105,1),(107,1)}
        80:{2,4,7}:{(54,1),(56,1),(61,1),(101,1),(106,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(62,1),(102,1),(108,1),(151,1),(156,1),(171,1)}
        82:{1,3,5,6}:{(57,1),(59,1),(103,1),(109,1),(110,1)}
        83:{1,4,5,7}:{(57,1),(61,1),(104,1),(110,1),(111,1),(114,1),(170,1)}
        84:{1,4,5}:{(58,1),(64,1),(112,1)}
        85:{2,4,6}:{(58,1),(59,1),(65,1),(109,1),(112,1),(113,1)}
        86:{1,3,4,7}:{(59,1),(61,1),(66,1),(106,1),(110,1),(113,1)}
        87:{1,5,6}:{(60,1),(107,1),(114,1)}
        88:{1,4,6,7}:{(60,1),(61,1),(62,1),(108,1),(114,1)}
        89:{1,2,5}:{(63,1),(64,1),(115,1)}
        90:{1,3,6}:{(64,1),(65,1),(112,1),(115,1),(116,1)}
        91:{2,3,7}:{(65,1),(66,1),(113,1),(116,1)}
        92:{2,3,4}:{(67,1),(118,1),(119,1)}
        93:{1,3,5}:{(67,1),(68,1),(119,1),(120,1)}
        94:{1,2,4,6}:{(68,1),(70,1),(73,1),(120,1),(121,1),(126,1)}
        95:{1,2,6}:{(69,1),(74,1)}
        96:{1,2,5,7}:{(70,1),(75,1),(121,1),(122,1),(140,1),(161,1)}
        97:{1,4,5,6}:{(73,1),(76,1),(123,1),(124,1),(128,1),(135,1)}
        98:{2,4,5}:{(71,1),(119,1),(125,1),(126,1)}
        99:{1,3,4,6}:{(71,1),(73,1),(78,1),(120,1),(123,1),(126,1),(127,1)}
       100:{1,4,6}:{(72,1),(74,1),(79,1),(128,1)}
       101:{1,4,7}:{(73,1),(75,1),(80,1)}
       102:{1,3,6,7}:{(74,1),(75,1),(81,1),(122,1),(129,1),(167,1)}
       103:{3,5,6}:{(76,1),(78,1),(130,1)}
       104:{2,4,5,7}:{(76,1),(80,1),(83,1),(124,1),(130,1),(131,1),(134,1),(136,1),(161,1),(166,1)}
       105:{3,4,6}:{(77,1),(79,1),(132,1)}
       106:{3,4,7}:{(78,1),(80,1),(130,1)}
       107:{2,5,6}:{(79,1),(87,1),(128,1),(132,1),(134,1)}
       108:{2,4,6,7}:{(79,1),(80,1),(81,1),(88,1),(129,1),(133,1),(134,1)}
       109:{2,5,6}:{(82,1),(85,1),(135,1),(136,1)}
       110:{1,3,5,7}:{(82,1),(83,1),(86,1),(130,1),(136,1),(137,1)}
       111:{1,4,6,7}:{(83,1),(131,1),(137,1),(138,1),(174,1)}
       112:{1,4,6}:{(84,1),(85,1),(90,1),(135,1),(139,1)}
       113:{2,4,7}:{(85,1),(86,1),(91,1),(136,1),(139,1)}
       114:{1,5,7}:{(87,1),(88,1),(134,1)}
       115:{1,2,6}:{(89,1),(90,1),(140,1)}
       116:{1,3,7}:{(90,1),(91,1),(139,1),(140,1)}
       117:{1,2,3}:{(141,1)}
       118:{1,3,4}:{(92,1),(141,1),(142,1)}
       119:{2,3,5}:{(92,1),(93,1),(98,1),(142,1),(143,1)}
       120:{1,3,6}:{(93,1),(94,1),(143,1),(144,1)}
       121:{1,2,4,7}:{(94,1),(96,1),(101,1),(144,1),(149,1)}
       122:{1,2,6,7}:{(95,1),(96,1),(102,1),(171,1)}
       123:{1,3,5,6}:{(97,1),(99,1),(103,1),(145,1),(146,1)}
       124:{1,4,5,7}:{(97,1),(101,1),(104,1),(146,1),(147,1),(150,1),(155,1)}
       125:{1,4,5}:{(98,1),(142,1),(148,1)}
       126:{2,4,6}:{(98,1),(99,1),(143,1),(145,1),(148,1),(149,1)}
       127:{1,3,4,7}:{(99,1),(101,1),(106,1),(144,1),(146,1),(149,1)}
       128:{1,5,6}:{(100,1),(107,1),(150,1)}
       129:{1,4,6,7}:{(100,1),(101,1),(102,1),(108,1),(150,1)}
       130:{3,5,7}:{(103,1),(104,1),(106,1),(151,1)}
       131:{2,4,6,7}:{(104,1),(111,1),(147,1),(151,1),(152,1),(156,1),(171,1),(172,1)}
       132:{3,5,6}:{(105,1),(107,1),(153,1),(154,1)}
       133:{3,4,6,7}:{(105,1),(106,1),(108,1),(151,1),(154,1),(172,1)}
       134:{2,5,7}:{(107,1),(108,1),(114,1),(150,1),(154,1)}
       135:{1,5,6}:{(109,1),(112,1),(155,1)}
       136:{2,5,7}:{(109,1),(110,1),(113,1),(155,1),(156,1)}
       137:{1,3,6,7}:{(110,1),(111,1),(151,1),(156,1)}
       138:{1,5,6,7}:{(111,1),(114,1),(152,1)}
       139:{1,4,7}:{(112,1),(113,1),(116,1),(155,1)}
       140:{1,2,7}:{(115,1),(116,1)}
       141:{1,2,4}:{(117,1),(118,1),(157,1)}
       142:{1,3,5}:{(118,1),(119,1),(125,1),(157,1),(158,1)}
       143:{2,3,6}:{(119,1),(120,1),(126,1),(158,1),(159,1)}
       144:{1,3,7}:{(120,1),(121,1),(159,1)}
       145:{2,5,6}:{(123,1),(126,1),(160,1),(161,1)}
       146:{1,3,5,7}:{(123,1),(124,1),(127,1),(130,1),(161,1),(162,1)}
       147:{1,4,6,7}:{(124,1),(131,1),(162,1),(163,1),(167,1)}
       148:{1,4,6}:{(125,1),(126,1),(158,1),(160,1),(164,1)}
       149:{2,4,7}:{(126,1),(127,1),(159,1),(161,1),(164,1)}
       150:{1,5,7}:{(128,1),(129,1),(134,1)}
       151:{3,6,7}:{(130,1),(131,1)}
       152:{2,5,6,7}:{(131,1),(134,1),(138,1),(163,1),(165,1)}
       153:{4,5,6}:{(132,1),(166,1)}
       154:{3,5,7}:{(132,1),(133,1),(134,1),(166,1)}
       155:{1,5,7}:{(135,1),(136,1),(139,1),(167,1)}
       156:{2,6,7}:{(136,1),(137,1),(167,1)}
       157:{1,2,5}:{(141,1),(142,1),(168,1)}
       158:{1,3,6}:{(142,1),(143,1),(148,1),(168,1),(169,1)}
       159:{2,3,7}:{(143,1),(144,1),(149,1),(169,1)}
       160:{1,5,6}:{(145,1),(148,1),(170,1)}
       161:{2,5,7}:{(145,1),(146,1),(149,1),(170,1),(171,1)}
       162:{1,3,6,7}:{(146,1),(147,1),(151,1),(171,1)}
       163:{1,5,6,7}:{(147,1),(150,1),(152,1)}
       164:{1,4,7}:{(148,1),(149,1),(169,1),(170,1)}
       165:{3,5,6,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{4,5,7}:{(153,1),(154,1),(172,1)}
       167:{1,6,7}:{(155,1),(156,1)}
       168:{1,2,6}:{(157,1),(158,1),(173,1)}
       169:{1,3,7}:{(158,1),(159,1),(164,1),(173,1)}
       170:{1,5,7}:{(160,1),(161,1),(164,1),(174,1)}
       171:{2,6,7}:{(161,1),(162,1),(174,1)}
       172:{4,6,7}:{(165,1),(166,1)}
       173:{1,2,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(170,1),(171,1)}

1150 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(58,1),(128,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(5,1),(6,1),(173,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(77,1),(81,1),(170,1)}
         4:{1,2,3,5}:{(1,1),(10,1),(11,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(12,1),(148,1),(169,1)}
         6:{1,2,5,7}:{(2,1),(9,1),(11,1),(12,1)}
         7:{2,3,4,7}:{(3,1),(14,1),(15,1),(16,1),(96,1),(105,1),(163,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(18,1),(19,1),(20,1),(53,1),(58,1),(129,1),(162,1)}
         9:{1,3,5,7}:{(3,1),(6,1),(16,1),(17,1),(18,1),(19,1)}
        10:{1,2,4}:{(4,1),(20,1)}
        11:{1,2,5}:{(5,1),(18,1)}
        12:{1,2,6}:{(6,1),(19,1)}
        13:{1,2,3,7}:{(24,1),(25,1),(151,1)}
        14:{1,3,4,7}:{(7,1),(25,1),(26,1),(27,1),(114,1),(127,1),(151,1)}
        15:{2,3,4,6}:{(7,1),(8,1),(26,1),(29,1),(30,1),(35,1),(71,1),(80,1),(106,1),(150,1)}
        16:{2,3,5,7}:{(7,1),(9,1),(27,1),(28,1),(29,1),(30,1)}
        17:{1,4,5,7}:{(9,1),(28,1),(31,1),(32,1),(74,1),(77,1)}
        18:{1,3,5}:{(8,1),(11,1),(29,1),(32,1)}
        19:{1,3,6}:{(9,1),(12,1),(30,1),(31,1)}
        20:{1,3,4}:{(10,1),(35,1),(36,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(32,1),(36,1),(37,1),(75,1)}
        22:{1,2,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(122,1),(169,1)}
        23:{1,2,6,7}:{(12,1),(34,1),(38,1),(159,1)}
        24:{1,2,3,6}:{(13,1),(39,1),(40,1),(55,1),(131,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(40,1),(41,1),(147,1)}
        26:{1,3,4,6}:{(14,1),(15,1),(40,1),(43,1),(44,1),(56,1),(82,1),(89,1),(104,1),(131,1)}
        27:{1,3,5,7}:{(14,1),(16,1),(41,1),(42,1),(43,1),(44,1)}
        28:{2,4,5,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(47,1),(94,1),(96,1)}
        29:{2,3,5}:{(15,1),(18,1),(43,1),(47,1)}
        30:{2,3,6}:{(16,1),(19,1),(44,1),(46,1)}
        31:{1,4,6}:{(17,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(18,1),(47,1),(53,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(22,1),(48,1),(50,1),(53,1),(54,1),(58,1),(162,1),(165,1)}
        34:{1,3,6,7}:{(19,1),(23,1),(49,1),(51,1),(54,1),(174,1)}
        35:{2,3,4}:{(20,1),(56,1),(57,1)}
        36:{1,3,5}:{(20,1),(21,1),(57,1),(58,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(53,1),(58,1),(59,1),(101,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(54,1),(59,1),(145,1),(173,1)}
        39:{1,2,3,5}:{(24,1),(60,1),(61,1),(107,1)}
        40:{1,2,4,6}:{(24,1),(25,1),(26,1),(60,1),(61,1),(62,1),(78,1),(126,1)}
        41:{1,2,5,7}:{(25,1),(27,1),(61,1),(62,1)}
        42:{1,4,5,7}:{(27,1),(28,1),(63,1),(64,1),(111,1),(114,1)}
        43:{1,3,5}:{(26,1),(29,1),(61,1),(64,1)}
        44:{1,3,6}:{(27,1),(30,1),(62,1),(63,1)}
        45:{3,4,5,7}:{(28,1),(67,1),(70,1),(116,1),(120,1)}
        46:{2,4,6}:{(28,1),(30,1),(31,1),(63,1),(67,1),(68,1)}
        47:{2,4,5}:{(29,1),(32,1),(64,1),(70,1),(71,1)}
        48:{2,3,5,6}:{(29,1),(30,1),(33,1),(65,1),(68,1),(71,1),(72,1),(80,1),(118,1),(122,1),(150,1),(153,1)}
        49:{2,3,6,7}:{(30,1),(34,1),(66,1),(69,1),(72,1),(158,1),(159,1),(171,1)}
        50:{1,5,6}:{(31,1),(68,1),(74,1)}
        51:{1,4,6,7}:{(31,1),(34,1),(69,1),(74,1),(77,1)}
        52:{1,3,4,5}:{(32,1),(36,1),(70,1),(75,1),(76,1)}
        53:{1,4,6}:{(32,1),(33,1),(71,1),(77,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(38,1),(72,1),(74,1),(77,1),(81,1),(170,1),(172,1)}
        55:{1,2,3}:{(78,1)}
        56:{1,3,4}:{(35,1),(78,1),(79,1)}
        57:{2,3,5}:{(35,1),(36,1),(75,1),(79,1),(80,1)}
        58:{1,3,6}:{(36,1),(37,1),(80,1),(81,1)}
        59:{1,2,4,7}:{(37,1),(38,1),(77,1),(81,1),(125,1)}
        60:{1,2,4}:{(39,1),(82,1)}
        61:{1,2,5}:{(40,1),(43,1)}
        62:{1,2,6}:{(41,1),(44,1)}
        63:{1,4,6}:{(42,1),(44,1),(46,1),(86,1)}
        64:{1,4,5}:{(43,1),(47,1),(89,1)}
        65:{1,3,5,6}:{(43,1),(44,1),(48,1),(84,1),(86,1),(89,1),(90,1),(104,1),(131,1),(144,1)}
        66:{1,3,6,7}:{(44,1),(49,1),(85,1),(87,1),(90,1),(168,1)}
        67:{3,4,6}:{(45,1),(46,1),(91,1)}
        68:{2,5,6}:{(46,1),(50,1),(86,1),(91,1),(94,1)}
        69:{2,4,6,7}:{(46,1),(49,1),(51,1),(87,1),(92,1),(94,1),(96,1)}
        70:{3,4,5}:{(47,1),(95,1)}
        71:{2,4,6}:{(47,1),(48,1),(53,1),(89,1),(95,1),(96,1)}
        72:{2,3,5,7}:{(48,1),(49,1),(54,1),(90,1),(94,1),(96,1),(105,1),(142,1),(145,1),(163,1),(166,1)}
        73:{1,4,5,6}:{(50,1),(53,1),(93,1),(98,1),(99,1),(165,1)}
        74:{1,5,7}:{(50,1),(51,1),(94,1)}
        75:{2,4,5}:{(52,1),(57,1),(100,1),(101,1)}
        76:{1,3,4,6}:{(52,1),(53,1),(58,1),(95,1),(98,1),(101,1),(102,1)}
        77:{1,4,7}:{(53,1),(54,1),(96,1)}
        78:{1,2,4}:{(55,1),(56,1),(103,1)}
        79:{1,3,5}:{(56,1),(57,1),(100,1),(103,1),(104,1)}
        80:{2,3,6}:{(57,1),(58,1),(101,1),(104,1),(105,1)}
        81:{1,3,7}:{(58,1),(59,1),(105,1)}
        82:{1,3,4}:{(60,1),(106,1),(107,1)}
        83:{1,2,4,5}:{(60,1),(61,1),(64,1),(107,1),(108,1),(112,1)}
        84:{1,2,5,6}:{(61,1),(62,1),(65,1),(108,1),(109,1),(126,1),(153,1)}
        85:{1,2,6,7}:{(62,1),(66,1),(109,1),(171,1)}
        86:{1,5,6}:{(63,1),(68,1),(111,1)}
        87:{1,4,6,7}:{(63,1),(66,1),(69,1),(111,1),(114,1)}
        88:{1,3,4,5}:{(64,1),(70,1),(107,1),(112,1),(113,1)}
        89:{1,4,6}:{(64,1),(65,1),(71,1),(114,1)}
        90:{1,3,5,7}:{(65,1),(66,1),(72,1),(109,1),(111,1),(114,1),(127,1),(151,1),(160,1)}
        91:{3,5,6}:{(67,1),(68,1),(115,1),(116,1)}
        92:{3,4,6,7}:{(67,1),(69,1),(116,1),(120,1),(157,1),(158,1)}
        93:{2,4,5,6}:{(68,1),(71,1),(73,1),(110,1),(115,1),(118,1),(119,1),(122,1),(153,1)}
        94:{2,5,7}:{(68,1),(69,1),(74,1),(111,1),(116,1)}
        95:{3,4,6}:{(70,1),(71,1),(118,1),(120,1)}
        96:{2,4,7}:{(71,1),(72,1),(77,1),(114,1),(120,1)}
        97:{1,5,6,7}:{(74,1),(117,1),(121,1)}
        98:{1,3,5,6}:{(73,1),(76,1),(118,1),(122,1),(123,1)}
        99:{1,4,5,7}:{(73,1),(74,1),(77,1),(119,1),(121,1),(123,1),(172,1)}
       100:{1,4,5}:{(75,1),(79,1),(124,1)}
       101:{2,4,6}:{(75,1),(76,1),(80,1),(122,1),(124,1),(125,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(81,1),(120,1),(123,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(126,1)}
       104:{1,3,6}:{(79,1),(80,1),(124,1),(126,1),(127,1)}
       105:{2,3,7}:{(80,1),(81,1),(125,1),(127,1)}
       106:{2,3,4}:{(82,1),(129,1),(130,1)}
       107:{1,3,5}:{(82,1),(83,1),(130,1),(131,1)}
       108:{1,2,4,6}:{(83,1),(84,1),(89,1),(131,1),(132,1),(137,1)}
       109:{1,2,5,7}:{(84,1),(85,1),(90,1),(132,1),(147,1),(166,1)}
       110:{1,4,5,6}:{(86,1),(89,1),(93,1),(134,1),(135,1),(144,1)}
       111:{1,5,7}:{(86,1),(87,1),(94,1)}
       112:{2,4,5}:{(88,1),(130,1),(136,1),(137,1)}
       113:{1,3,4,6}:{(88,1),(89,1),(95,1),(131,1),(134,1),(137,1),(138,1)}
       114:{1,4,7}:{(89,1),(90,1),(96,1)}
       115:{4,5,6}:{(91,1),(140,1)}
       116:{3,5,7}:{(91,1),(92,1),(94,1),(140,1)}
       117:{2,5,6,7}:{(94,1),(97,1),(133,1),(139,1),(141,1)}
       118:{3,5,6}:{(93,1),(95,1),(142,1)}
       119:{2,4,5,7}:{(93,1),(94,1),(96,1),(99,1),(135,1),(140,1),(141,1),(142,1),(145,1),(166,1)}
       120:{3,4,7}:{(95,1),(96,1),(142,1)}
       121:{1,4,6,7}:{(97,1),(99,1),(141,1),(143,1),(174,1)}
       122:{2,5,6}:{(98,1),(101,1),(144,1),(145,1)}
       123:{1,3,5,7}:{(98,1),(99,1),(102,1),(142,1),(143,1),(145,1)}
       124:{1,4,6}:{(100,1),(101,1),(104,1),(144,1),(146,1)}
       125:{2,4,7}:{(101,1),(102,1),(105,1),(145,1),(146,1)}
       126:{1,2,6}:{(103,1),(104,1),(147,1)}
       127:{1,3,7}:{(104,1),(105,1),(146,1),(147,1)}
       128:{1,2,3}:{(148,1)}
       129:{1,3,4}:{(106,1),(148,1),(149,1)}
       130:{2,3,5}:{(106,1),(107,1),(112,1),(149,1),(150,1)}
       131:{1,3,6}:{(107,1),(108,1),(150,1),(151,1)}
       132:{1,2,4,7}:{(108,1),(109,1),(114,1),(151,1),(156,1)}
       133:{1,5,6,7}:{(111,1),(117,1),(152,1)}
       134:{1,3,5,6}:{(110,1),(113,1),(118,1),(153,1),(154,1)}
       135:{1,4,5,7}:{(110,1),(111,1),(114,1),(119,1),(152,1),(154,1),(160,1)}
       136:{1,4,5}:{(112,1),(149,1),(155,1)}
       137:{2,4,6}:{(112,1),(113,1),(150,1),(153,1),(155,1),(156,1)}
       138:{1,3,4,7}:{(113,1),(114,1),(120,1),(151,1),(154,1),(156,1)}
       139:{3,5,6,7}:{(116,1),(117,1),(157,1),(158,1)}
       140:{4,5,7}:{(115,1),(116,1),(157,1)}
       141:{2,4,6,7}:{(117,1),(119,1),(121,1),(152,1),(157,1),(158,1),(159,1),(171,1)}
       142:{3,5,7}:{(118,1),(119,1),(120,1),(158,1)}
       143:{1,3,6,7}:{(121,1),(123,1),(158,1),(159,1)}
       144:{1,5,6}:{(122,1),(124,1),(160,1)}
       145:{2,5,7}:{(122,1),(123,1),(125,1),(159,1),(160,1)}
       146:{1,4,7}:{(124,1),(125,1),(127,1),(160,1)}
       147:{1,2,7}:{(126,1),(127,1)}
       148:{1,2,4}:{(128,1),(129,1),(161,1)}
       149:{1,3,5}:{(129,1),(130,1),(136,1),(161,1),(162,1)}
       150:{2,3,6}:{(130,1),(131,1),(137,1),(162,1),(163,1)}
       151:{1,3,7}:{(131,1),(132,1),(163,1)}
       152:{1,4,6,7}:{(133,1),(135,1),(141,1),(164,1),(168,1)}
       153:{2,5,6}:{(134,1),(137,1),(165,1),(166,1)}
       154:{1,3,5,7}:{(134,1),(135,1),(138,1),(142,1),(164,1),(166,1)}
       155:{1,4,6}:{(136,1),(137,1),(162,1),(165,1),(167,1)}
       156:{2,4,7}:{(137,1),(138,1),(163,1),(166,1),(167,1)}
       157:{4,6,7}:{(139,1),(140,1)}
       158:{3,6,7}:{(141,1),(142,1)}
       159:{2,6,7}:{(143,1),(145,1),(168,1)}
       160:{1,5,7}:{(144,1),(145,1),(146,1),(168,1)}
       161:{1,2,5}:{(148,1),(149,1),(169,1)}
       162:{1,3,6}:{(149,1),(150,1),(155,1),(169,1),(170,1)}
       163:{2,3,7}:{(150,1),(151,1),(156,1),(170,1)}
       164:{1,3,6,7}:{(152,1),(154,1),(158,1),(171,1)}
       165:{1,5,6}:{(153,1),(155,1),(172,1)}
       166:{2,5,7}:{(153,1),(154,1),(156,1),(171,1),(172,1)}
       167:{1,4,7}:{(155,1),(156,1),(170,1),(172,1)}
       168:{1,6,7}:{(159,1),(160,1)}
       169:{1,2,6}:{(161,1),(162,1),(173,1)}
       170:{1,3,7}:{(162,1),(163,1),(167,1),(173,1)}
       171:{2,6,7}:{(164,1),(166,1),(174,1)}
       172:{1,5,7}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1151 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(15,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(23,1),(34,1)}
         4:{1,3,4}:{(1,1),(7,1),(9,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(36,1),(169,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(28,1)}
         7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(38,1),(45,1)}
         9:{2,3,4}:{(4,1),(14,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(45,1),(55,1),(160,1),(164,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(21,1),(22,1),(173,1)}
        13:{1,3,4,5}:{(7,1),(23,1),(24,1),(34,1),(73,1)}
        14:{2,3,5}:{(7,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1),(28,1)}
        16:{1,2,5,6}:{(8,1),(11,1),(27,1),(29,1),(36,1),(57,1),(169,1)}
        17:{1,2,4,7}:{(8,1),(28,1),(29,1),(58,1),(66,1)}
        18:{1,3,4}:{(9,1),(25,1),(30,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(33,1),(64,1),(75,1),(146,1),(152,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(12,1),(28,1),(33,1),(35,1),(66,1),(170,1)}
        22:{1,2,5,7}:{(11,1),(12,1),(35,1),(36,1)}
        23:{2,4,5}:{(13,1),(14,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(40,1),(45,1),(87,1)}
        25:{1,3,5}:{(14,1),(18,1),(37,1),(41,1),(42,1)}
        26:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(44,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(20,1),(43,1),(45,1),(46,1),(55,1),(100,1),(155,1),(160,1)}
        28:{1,3,7}:{(15,1),(17,1),(44,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(46,1),(47,1),(80,1),(173,1)}
        30:{1,2,4}:{(18,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1),(51,1),(85,1),(97,1),(128,1),(136,1)}
        32:{2,3,5}:{(19,1),(20,1),(50,1),(52,1)}
        33:{2,3,4,7}:{(19,1),(21,1),(44,1),(51,1),(53,1),(88,1),(161,1)}
        34:{1,4,5}:{(20,1),(45,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(54,1),(55,1)}
        36:{1,2,6}:{(22,1),(55,1)}
        37:{1,4,5}:{(23,1),(25,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(56,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(24,1),(57,1),(59,1),(60,1),(103,1)}
        40:{1,3,4,7}:{(24,1),(28,1),(58,1),(60,1),(66,1),(112,1)}
        41:{1,2,5}:{(25,1),(30,1),(61,1)}
        42:{1,3,6}:{(25,1),(26,1),(56,1),(61,1),(63,1)}
        43:{2,3,5,6}:{(26,1),(27,1),(32,1),(57,1),(62,1),(64,1),(65,1),(75,1),(103,1),(121,1),(141,1),(146,1)}
        44:{2,3,7}:{(26,1),(28,1),(58,1),(63,1)}
        45:{1,4,6}:{(27,1),(34,1),(64,1),(66,1)}
        46:{1,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(66,1),(67,1),(114,1),(166,1),(170,1)}
        47:{1,2,6,7}:{(29,1),(36,1),(67,1),(105,1)}
        48:{1,2,3}:{(30,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(61,1),(68,1),(69,1),(70,1),(115,1),(117,1)}
        50:{1,3,5}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(63,1),(70,1),(72,1),(110,1),(147,1)}
        52:{2,4,5}:{(32,1),(34,1),(64,1),(71,1),(73,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(75,1)}
        54:{1,4,5,7}:{(34,1),(35,1),(66,1),(74,1),(76,1),(114,1)}
        55:{1,3,6}:{(35,1),(36,1),(75,1),(76,1)}
        56:{1,4,6}:{(37,1),(38,1),(42,1),(77,1),(78,1)}
        57:{2,5,6}:{(38,1),(39,1),(77,1),(80,1)}
        58:{2,4,7}:{(38,1),(40,1),(44,1),(78,1),(80,1)}
        59:{1,4,5,6}:{(39,1),(45,1),(79,1),(81,1),(100,1),(155,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(80,1),(81,1),(82,1),(125,1)}
        61:{1,2,6}:{(41,1),(42,1),(84,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(50,1),(77,1),(83,1),(85,1),(86,1),(97,1),(128,1),(139,1)}
        63:{1,3,7}:{(42,1),(44,1),(78,1),(84,1)}
        64:{2,4,6}:{(43,1),(45,1),(52,1),(85,1),(87,1),(88,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(125,1),(135,1),(156,1),(161,1)}
        66:{1,4,7}:{(45,1),(46,1),(88,1)}
        67:{1,3,6,7}:{(46,1),(47,1),(55,1),(89,1),(90,1),(172,1)}
        68:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(128,1)}
        69:{1,2,5}:{(49,1),(50,1)}
        70:{1,2,4,7}:{(49,1),(51,1),(84,1),(92,1),(94,1)}
        71:{1,4,5}:{(50,1),(52,1),(85,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(97,1)}
        73:{3,4,5}:{(52,1),(87,1)}
        74:{2,4,5,7}:{(52,1),(53,1),(54,1),(88,1),(96,1),(98,1),(99,1),(135,1)}
        75:{2,3,6}:{(53,1),(55,1),(97,1),(99,1)}
        76:{1,4,6}:{(54,1),(55,1),(99,1),(100,1)}
        77:{1,5,6}:{(56,1),(57,1),(102,1)}
        78:{1,4,7}:{(56,1),(58,1),(63,1),(102,1)}
        79:{2,4,5,6}:{(57,1),(59,1),(64,1),(101,1),(103,1),(104,1),(121,1),(141,1),(154,1)}
        80:{2,5,7}:{(57,1),(58,1),(60,1),(102,1),(105,1)}
        81:{1,4,5,7}:{(59,1),(60,1),(66,1),(104,1),(106,1),(114,1),(166,1)}
        82:{1,3,6,7}:{(60,1),(105,1),(106,1),(144,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(69,1),(107,1),(108,1),(117,1),(141,1)}
        84:{1,2,7}:{(61,1),(63,1)}
        85:{1,4,6}:{(62,1),(64,1),(71,1),(110,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(65,1),(102,1),(108,1),(110,1),(111,1),(147,1),(150,1)}
        87:{3,4,6}:{(64,1),(73,1),(103,1),(112,1)}
        88:{2,4,7}:{(64,1),(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,6,7}:{(65,1),(67,1),(75,1),(105,1),(111,1),(113,1),(144,1),(167,1)}
        90:{1,4,6,7}:{(66,1),(67,1),(76,1),(113,1),(114,1)}
        91:{1,2,3,5}:{(68,1),(69,1),(115,1),(116,1)}
        92:{1,2,3,7}:{(68,1),(70,1),(147,1)}
        93:{1,2,4,5}:{(69,1),(71,1),(107,1),(115,1),(116,1),(118,1)}
        94:{1,2,5,7}:{(69,1),(70,1),(72,1),(117,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(109,1),(116,1),(118,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(110,1),(119,1),(150,1)}
        97:{1,3,6}:{(72,1),(75,1),(117,1),(119,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(112,1),(120,1),(151,1)}
        99:{2,4,6}:{(74,1),(75,1),(76,1),(119,1),(120,1),(121,1)}
       100:{1,5,6}:{(76,1),(114,1),(121,1)}
       101:{1,4,5,6}:{(77,1),(79,1),(85,1),(122,1),(123,1),(139,1)}
       102:{1,5,7}:{(77,1),(78,1),(80,1),(124,1)}
       103:{3,5,6}:{(79,1),(87,1),(125,1)}
       104:{2,4,5,7}:{(79,1),(80,1),(81,1),(88,1),(123,1),(125,1),(126,1),(135,1),(156,1),(163,1)}
       105:{2,6,7}:{(80,1),(82,1),(124,1)}
       106:{1,4,6,7}:{(81,1),(82,1),(126,1),(127,1),(172,1)}
       107:{1,2,4,6}:{(83,1),(85,1),(93,1),(128,1),(129,1),(131,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(129,1),(130,1),(156,1)}
       109:{1,3,4,6}:{(85,1),(87,1),(95,1),(122,1),(128,1),(131,1),(132,1)}
       110:{1,4,7}:{(85,1),(86,1),(88,1)}
       111:{1,3,6,7}:{(86,1),(89,1),(97,1),(124,1),(130,1),(133,1)}
       112:{3,4,7}:{(87,1),(88,1),(125,1)}
       113:{2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(133,1),(134,1),(135,1)}
       114:{1,5,7}:{(90,1),(100,1),(135,1)}
       115:{1,2,4}:{(91,1),(136,1)}
       116:{1,3,5}:{(93,1),(128,1),(136,1),(137,1)}
       117:{1,2,6}:{(94,1),(97,1)}
       118:{2,4,5}:{(95,1),(131,1),(137,1),(138,1)}
       119:{1,4,6}:{(96,1),(97,1),(99,1),(139,1)}
       120:{3,4,6}:{(98,1),(99,1),(140,1)}
       121:{2,5,6}:{(99,1),(100,1),(135,1),(139,1),(140,1)}
       122:{1,3,5,6}:{(101,1),(103,1),(109,1),(141,1),(142,1)}
       123:{1,4,5,7}:{(101,1),(102,1),(104,1),(110,1),(142,1),(143,1),(150,1)}
       124:{1,6,7}:{(102,1),(105,1)}
       125:{3,5,7}:{(103,1),(104,1),(112,1),(144,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(144,1),(145,1),(167,1),(168,1)}
       127:{1,5,6,7}:{(106,1),(114,1),(145,1)}
       128:{1,3,6}:{(107,1),(116,1),(146,1),(147,1)}
       129:{1,2,4,7}:{(107,1),(108,1),(110,1),(147,1),(149,1)}
       130:{1,2,6,7}:{(108,1),(111,1),(117,1),(167,1)}
       131:{2,4,6}:{(109,1),(118,1),(141,1),(146,1),(148,1),(149,1)}
       132:{1,3,4,7}:{(109,1),(110,1),(112,1),(142,1),(147,1),(149,1)}
       133:{1,4,6,7}:{(110,1),(111,1),(113,1),(119,1),(150,1)}
       134:{3,4,6,7}:{(112,1),(113,1),(120,1),(144,1),(151,1),(168,1)}
       135:{2,5,7}:{(113,1),(114,1),(121,1),(150,1),(151,1)}
       136:{1,3,4}:{(115,1),(116,1),(152,1)}
       137:{2,3,5}:{(116,1),(118,1),(146,1),(152,1),(153,1)}
       138:{1,4,5}:{(118,1),(148,1),(153,1)}
       139:{1,5,6}:{(119,1),(121,1),(150,1)}
       140:{3,5,6}:{(120,1),(121,1),(151,1),(154,1)}
       141:{2,5,6}:{(122,1),(131,1),(155,1),(156,1)}
       142:{1,3,5,7}:{(122,1),(123,1),(125,1),(132,1),(156,1),(157,1)}
       143:{1,4,6,7}:{(123,1),(124,1),(126,1),(157,1),(158,1)}
       144:{3,6,7}:{(125,1),(126,1)}
       145:{2,5,6,7}:{(126,1),(127,1),(135,1),(158,1),(159,1)}
       146:{2,3,6}:{(128,1),(131,1),(137,1),(160,1),(161,1)}
       147:{1,3,7}:{(128,1),(129,1),(161,1)}
       148:{1,4,6}:{(131,1),(138,1),(155,1),(160,1),(162,1)}
       149:{2,4,7}:{(131,1),(132,1),(156,1),(161,1),(162,1)}
       150:{1,5,7}:{(133,1),(135,1),(139,1)}
       151:{3,5,7}:{(134,1),(135,1),(140,1),(163,1)}
       152:{2,3,4}:{(136,1),(137,1),(164,1)}
       153:{1,3,5}:{(137,1),(138,1),(160,1),(164,1),(165,1)}
       154:{4,5,6}:{(140,1),(163,1)}
       155:{1,5,6}:{(141,1),(148,1),(166,1)}
       156:{2,5,7}:{(141,1),(142,1),(149,1),(166,1),(167,1)}
       157:{1,3,6,7}:{(142,1),(143,1),(144,1),(167,1)}
       158:{1,5,6,7}:{(143,1),(145,1),(150,1)}
       159:{3,5,6,7}:{(144,1),(145,1),(151,1),(168,1)}
       160:{1,3,6}:{(146,1),(148,1),(153,1),(169,1),(170,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(170,1)}
       162:{1,4,7}:{(148,1),(149,1),(166,1),(170,1)}
       163:{4,5,7}:{(151,1),(154,1),(168,1)}
       164:{1,3,4}:{(152,1),(153,1),(171,1)}
       165:{1,2,5}:{(153,1),(169,1),(171,1)}
       166:{1,5,7}:{(155,1),(156,1),(162,1),(172,1)}
       167:{2,6,7}:{(156,1),(157,1),(172,1)}
       168:{4,6,7}:{(159,1),(163,1)}
       169:{1,2,6}:{(160,1),(165,1),(173,1)}
       170:{1,3,7}:{(160,1),(161,1),(162,1),(173,1)}
       171:{1,2,4}:{(164,1),(165,1),(174,1)}
       172:{1,6,7}:{(166,1),(167,1)}
       173:{1,2,7}:{(169,1),(170,1)}
       174:{1,2,3}:{(171,1)}

1152 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1153 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(81,1),(122,1),(127,1),(130,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(95,1),(99,1),(102,1),(156,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(107,1),(157,1),(161,1)}
         3:{1,2,4,5,6}:{(6,1),(8,1),(21,1),(28,1),(57,1),(62,1),(107,1),(112,1),(116,1),(153,1),(157,1),(161,1),(200,1),(205,1),(234,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(14,1),(34,1),(38,1),(70,1),(73,1),(76,1),(130,1),(132,1),(182,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(129,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(13,1),(38,1),(41,1),(83,1),(127,1),(131,1),(136,1),(142,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(13,1),(14,1),(133,1),(182,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(86,1),(133,1),(144,1),(182,1),(222,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(27,1),(48,1),(50,1),(59,1),(102,1),(111,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(101,1),(157,1),(160,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(99,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1),(159,1),(169,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(106,1),(161,1)}
        15:{1,3,4,6}:{(8,1),(24,1),(25,1),(28,1),(200,1),(204,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(57,1),(61,1),(106,1),(112,1),(117,1),(161,1)}
        17:{1,2,5,6,7}:{(9,1),(30,1),(43,1),(73,1),(84,1),(124,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(31,1),(129,1),(138,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(75,1),(182,1),(184,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(124,1),(129,1),(188,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(14,1),(38,1),(39,1),(41,1),(80,1)}
        24:{1,3,4,5}:{(15,1),(40,1),(86,1),(141,1),(219,1),(222,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(41,1),(181,1),(184,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(16,1),(38,1),(41,1),(42,1),(136,1),(143,1)}
        27:{1,3,6,7}:{(14,1),(39,1),(42,1),(43,1),(133,1)}
        28:{2,4,6}:{(15,1),(16,1),(40,1),(41,1),(45,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(81,1),(86,1),(91,1),(133,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(47,1),(48,1),(51,1),(152,1),(157,1),(198,1)}
        31:{1,4,5,7}:{(18,1),(19,1),(49,1),(50,1),(59,1)}
        32:{1,3,4,6,7}:{(18,1),(20,1),(48,1),(50,1),(51,1),(93,1),(96,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(97,1),(101,1),(157,1),(205,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(63,1),(101,1),(105,1),(106,1),(148,1),(151,1),(160,1),(204,1),(207,1),(231,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(208,1)}
        37:{1,3,4,5,7}:{(22,1),(24,1),(25,1),(53,1),(56,1),(58,1),(103,1),(109,1),(159,1),(166,1),(208,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(64,1),(107,1)}
        40:{2,4,5}:{(24,1),(28,1),(61,1),(62,1),(112,1),(168,1)}
        41:{2,4,7}:{(25,1),(26,1),(28,1),(64,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(115,1)}
        43:{1,2,6,7}:{(27,1),(65,1),(161,1)}
        44:{2,3,4,6}:{(28,1),(61,1),(63,1),(66,1),(106,1),(117,1),(168,1),(204,1),(207,1)}
        45:{1,4,6}:{(28,1),(29,1),(62,1),(64,1)}
        46:{1,2,5,6}:{(29,1),(65,1),(67,1),(112,1),(161,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(69,1),(73,1),(84,1),(120,1),(126,1),(131,1),(138,1),(179,1),(214,1)}
        48:{1,3,6,7}:{(30,1),(69,1),(70,1),(176,1),(182,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(81,1),(129,1),(219,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(73,1)}
        51:{2,4,6,7}:{(32,1),(70,1),(73,1),(74,1),(120,1),(123,1)}
        52:{3,5,6}:{(33,1),(34,1),(75,1),(182,1),(222,1)}
        53:{3,4,5,7}:{(34,1),(75,1),(77,1),(184,1),(222,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(73,1),(76,1),(77,1),(78,1),(222,1),(224,1),(240,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(74,1),(78,1),(79,1),(85,1),(88,1),(128,1),(129,1),(133,1),(138,1),(174,1),(176,1),(181,1),(182,1),(184,1),(187,1),(218,1),(223,1),(239,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(75,1),(80,1),(129,1),(133,1),(182,1)}
        57:{2,5,6}:{(36,1),(38,1),(80,1),(81,1),(224,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(40,1),(41,1),(80,1),(82,1),(83,1),(136,1),(190,1),(224,1)}
        59:{1,5,7}:{(38,1),(39,1),(81,1)}
        60:{1,2,4,6,7}:{(39,1),(43,1),(79,1),(84,1),(85,1),(89,1),(134,1),(138,1),(214,1),(216,1),(239,1)}
        61:{2,3,5}:{(40,1),(44,1),(86,1),(222,1),(224,1)}
        62:{1,4,5}:{(40,1),(45,1),(86,1),(191,1)}
        63:{2,3,4,7}:{(41,1),(44,1),(82,1),(88,1),(143,1),(184,1),(190,1)}
        64:{1,4,7}:{(41,1),(42,1),(45,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(46,1),(89,1),(136,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(86,1),(88,1),(90,1),(91,1),(133,1),(141,1),(144,1),(191,1),(223,1)}
        67:{1,2,4,6}:{(45,1),(46,1),(87,1),(89,1),(90,1),(91,1)}
        68:{1,2,4,5,6}:{(47,1),(49,1),(92,1),(97,1),(108,1),(146,1),(152,1),(157,1),(163,1),(193,1),(198,1),(205,1),(225,1),(227,1),(243,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(92,1),(93,1),(94,1),(159,1),(229,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(94,1),(95,1),(151,1),(198,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(52,1),(96,1),(97,1),(232,1)}
        72:{1,3,4,5,7}:{(50,1),(53,1),(93,1),(96,1),(98,1),(103,1),(145,1),(154,1),(159,1),(203,1),(232,1)}
        73:{2,5,7}:{(50,1),(51,1),(97,1),(99,1)}
        74:{1,4,6,7}:{(51,1),(95,1),(99,1),(149,1),(152,1)}
        75:{3,4,6}:{(52,1),(53,1),(101,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(57,1),(97,1),(101,1),(102,1),(106,1),(151,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(160,1),(205,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(59,1),(99,1),(102,1),(103,1),(104,1),(159,1),(208,1),(232,1),(234,1),(243,1)}
        79:{2,4,6,7}:{(55,1),(104,1),(105,1),(114,1),(157,1),(160,1),(161,1),(196,1),(198,1),(207,1),(231,1)}
        80:{2,4,6}:{(56,1),(57,1),(58,1),(106,1),(107,1),(161,1)}
        81:{1,5,6}:{(57,1),(59,1),(107,1),(234,1)}
        82:{2,3,5,7}:{(58,1),(61,1),(63,1),(106,1),(109,1),(159,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(64,1),(107,1),(109,1),(209,1),(234,1)}
        84:{1,2,5,7}:{(59,1),(60,1),(104,1),(108,1),(111,1),(243,1)}
        85:{1,3,6,7}:{(60,1),(105,1),(111,1),(115,1),(162,1),(229,1),(230,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(112,1),(234,1)}
        87:{1,2,4,5}:{(62,1),(67,1),(112,1),(113,1),(168,1)}
        88:{1,3,4,7}:{(63,1),(64,1),(66,1),(109,1),(114,1),(115,1),(169,1),(209,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1)}
        90:{2,4,6}:{(66,1),(112,1),(114,1),(117,1),(161,1),(168,1)}
        91:{1,3,6}:{(67,1),(113,1),(115,1),(117,1)}
        92:{1,3,5,6}:{(68,1),(69,1),(118,1),(119,1),(176,1),(182,1),(210,1),(222,1),(238,1)}
        93:{1,3,4,7}:{(69,1),(118,1),(120,1),(138,1),(184,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(73,1),(119,1),(120,1),(121,1),(179,1),(215,1)}
        95:{1,3,6,7}:{(70,1),(74,1),(121,1),(122,1),(176,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(75,1),(123,1),(129,1),(176,1),(182,1)}
        97:{2,5,6}:{(71,1),(73,1),(123,1),(124,1),(240,1)}
        98:{2,4,5,7}:{(72,1),(73,1),(120,1),(123,1),(125,1),(126,1),(170,1),(179,1),(221,1),(240,1)}
        99:{1,5,7}:{(73,1),(74,1),(124,1)}
       100:{1,2,4,6,7}:{(74,1),(79,1),(122,1),(127,1),(128,1),(142,1),(175,1),(177,1),(181,1),(185,1),(223,1)}
       101:{2,4,6}:{(75,1),(76,1),(77,1),(129,1)}
       102:{1,3,5,6}:{(76,1),(78,1),(81,1),(124,1),(129,1),(130,1),(133,1),(176,1),(182,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(129,1),(131,1),(138,1),(181,1),(188,1),(219,1)}
       104:{2,5,7}:{(78,1),(79,1),(130,1),(224,1),(240,1)}
       105:{2,3,6,7}:{(79,1),(85,1),(128,1),(132,1),(143,1),(182,1),(186,1),(215,1),(217,1)}
       106:{2,3,6}:{(80,1),(82,1),(133,1),(182,1)}
       107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
       108:{1,2,5,6}:{(81,1),(84,1),(130,1),(134,1),(135,1),(216,1),(224,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(86,1),(88,1),(133,1),(136,1)}
       110:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(89,1),(131,1),(134,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       111:{1,3,5,7}:{(84,1),(85,1),(132,1),(135,1),(138,1)}
       112:{2,5}:{(86,1),(90,1)}
       113:{1,3,5}:{(87,1),(91,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(90,1),(136,1),(143,1)}
       115:{1,3,7}:{(89,1),(91,1),(143,1)}
       116:{1,2,4,6}:{(90,1),(139,1),(142,1),(144,1),(185,1),(191,1),(223,1)}
       117:{2,3,6}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(145,1),(146,1),(163,1),(204,1)}
       119:{2,3,5,6}:{(92,1),(94,1),(97,1),(146,1),(147,1),(151,1),(192,1),(198,1),(225,1),(228,1)}
       120:{2,4,7}:{(93,1),(94,1),(146,1),(149,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(99,1),(147,1),(149,1),(150,1),(197,1)}
       122:{1,2,6,7}:{(95,1),(150,1),(198,1)}
       123:{2,4,6}:{(96,1),(97,1),(98,1),(151,1),(152,1),(198,1)}
       124:{1,5,6}:{(97,1),(99,1),(152,1),(243,1)}
       125:{2,3,5,7}:{(98,1),(148,1),(151,1),(154,1),(159,1),(192,1)}
       126:{1,4,5,7}:{(98,1),(99,1),(149,1),(152,1),(154,1),(193,1),(233,1),(243,1)}
       127:{1,2,5,7}:{(99,1),(100,1),(104,1),(153,1),(156,1),(234,1)}
       128:{1,3,6,7}:{(100,1),(105,1),(156,1),(169,1),(197,1),(199,1),(206,1)}
       129:{1,4,6}:{(101,1),(102,1),(103,1),(157,1)}
       130:{2,5,6}:{(102,1),(104,1),(157,1),(161,1),(198,1)}
       131:{2,4,5,7}:{(103,1),(104,1),(157,1),(159,1),(160,1),(205,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(111,1),(156,1),(158,1),(159,1),(160,1)}
       133:{1,3,6}:{(106,1),(107,1),(109,1),(161,1)}
       134:{1,2,4,6}:{(107,1),(108,1),(110,1),(157,1),(161,1),(162,1),(163,1),(207,1)}
       135:{1,3,5,6}:{(108,1),(111,1),(158,1),(162,1),(163,1),(208,1),(230,1),(243,1)}
       136:{2,5,7}:{(109,1),(112,1),(114,1),(161,1)}
       137:{1,3,5,7}:{(110,1),(113,1),(115,1),(159,1),(162,1),(165,1),(166,1),(208,1)}
       138:{1,4,7}:{(111,1),(160,1),(163,1)}
       139:{1,2,5}:{(112,1),(116,1),(167,1),(234,1)}
       140:{2,3,5}:{(112,1),(113,1),(117,1),(167,1),(168,1)}
       141:{1,3,4}:{(113,1),(168,1)}
       142:{1,2,4,7}:{(114,1),(116,1),(164,1),(169,1),(209,1)}
       143:{2,3,7}:{(114,1),(115,1),(117,1),(169,1)}
       144:{1,3,6}:{(116,1),(117,1),(167,1),(169,1)}
       145:{1,3,4,5}:{(118,1),(170,1),(188,1),(210,1),(222,1),(237,1)}
       146:{2,4,6}:{(118,1),(119,1),(120,1),(170,1),(172,1)}
       147:{1,3,5,6}:{(119,1),(121,1),(124,1),(172,1),(173,1),(176,1),(210,1),(213,1)}
       148:{2,3,4,7}:{(120,1),(125,1),(171,1),(174,1),(184,1),(215,1),(221,1)}
       149:{1,4,7}:{(120,1),(121,1),(172,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(173,1),(175,1),(179,1)}
       151:{2,3,6}:{(123,1),(125,1),(176,1),(182,1)}
       152:{1,4,6}:{(123,1),(124,1),(126,1),(176,1)}
       153:{1,2,5,6}:{(124,1),(127,1),(130,1),(177,1),(178,1),(185,1),(240,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(174,1),(176,1),(179,1),(210,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(131,1),(175,1),(177,1),(179,1),(180,1),(181,1),(211,1),(219,1),(221,1),(240,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(132,1),(178,1),(181,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1)}
       158:{2,3,5,6}:{(130,1),(132,1),(135,1),(178,1),(182,1),(183,1),(186,1),(217,1),(222,1),(224,1),(240,1)}
       159:{3,5,7}:{(131,1),(182,1),(184,1),(222,1)}
       160:{2,4,7}:{(132,1),(138,1),(181,1),(183,1),(184,1)}
       161:{2,6}:{(133,1),(136,1)}
       162:{1,3,6}:{(134,1),(137,1),(182,1),(186,1)}
       163:{1,4,6}:{(135,1),(138,1),(183,1),(188,1)}
       164:{1,2,5,7}:{(136,1),(139,1),(142,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(136,1),(137,1),(140,1),(143,1),(186,1),(189,1),(190,1),(224,1)}
       166:{1,3,4,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(190,1)}
       167:{1,3,5}:{(139,1),(140,1),(144,1),(191,1)}
       168:{2,4}:{(140,1),(141,1),(191,1)}
       169:{1,3,7}:{(142,1),(143,1),(144,1)}
       170:{2,4,5}:{(145,1),(146,1),(192,1),(193,1),(225,1),(242,1)}
       171:{2,3,4,6}:{(146,1),(148,1),(151,1),(192,1),(194,1),(204,1),(228,1),(231,1),(242,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(193,1)}
       173:{1,2,5,6}:{(147,1),(150,1),(195,1),(198,1),(225,1)}
       174:{1,3,4,7}:{(148,1),(149,1),(154,1),(194,1),(196,1),(197,1),(229,1),(233,1)}
       175:{1,2,4,7}:{(149,1),(150,1),(195,1),(196,1),(197,1)}
       176:{1,3,6}:{(151,1),(152,1),(154,1),(198,1)}
       177:{1,2,4,6}:{(152,1),(153,1),(155,1),(157,1),(198,1),(199,1),(200,1),(231,1)}
       178:{1,3,5,6}:{(153,1),(156,1),(158,1),(199,1),(200,1),(206,1),(232,1),(234,1)}
       179:{2,5,7}:{(154,1),(196,1),(198,1),(225,1)}
       180:{1,3,5,7}:{(155,1),(159,1),(197,1),(199,1),(202,1),(203,1),(226,1),(232,1)}
       181:{1,4,7}:{(156,1),(160,1),(200,1)}
       182:{3,6}:{(157,1),(159,1)}
       183:{2,4,6}:{(158,1),(160,1),(163,1),(200,1),(204,1),(205,1)}
       184:{3,4,7}:{(159,1),(160,1),(204,1)}
       185:{1,2,6}:{(161,1),(164,1),(206,1)}
       186:{2,3,6}:{(161,1),(162,1),(165,1),(206,1),(207,1)}
       187:{1,3,4,6}:{(162,1),(163,1),(166,1),(204,1),(207,1),(208,1)}
       188:{1,4,5}:{(163,1),(205,1),(208,1),(243,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(167,1),(169,1),(206,1),(209,1),(234,1)}
       190:{2,4,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       191:{1,4}:{(167,1),(168,1)}
       192:{2,3,5}:{(170,1),(171,1),(210,1),(222,1),(240,1)}
       193:{1,4,5}:{(170,1),(172,1),(210,1),(244,1)}
       194:{1,3,4,6}:{(171,1),(172,1),(174,1),(176,1),(210,1),(212,1),(213,1),(237,1),(238,1),(239,1),(244,1)}
       195:{1,2,4,6}:{(172,1),(173,1),(175,1),(211,1),(212,1),(213,1)}
       196:{2,4,7}:{(174,1),(179,1),(212,1),(215,1)}
       197:{1,3,7}:{(175,1),(213,1),(215,1)}
       198:{2,6}:{(176,1),(179,1)}
       199:{1,3,6}:{(177,1),(180,1),(182,1),(217,1)}
       200:{1,4,6}:{(178,1),(181,1),(183,1),(219,1)}
       201:{1,2,5,7}:{(179,1),(214,1),(216,1),(220,1),(235,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(215,1),(217,1),(220,1),(221,1),(236,1),(240,1)}
       203:{1,3,4,7}:{(180,1),(181,1),(184,1),(218,1),(221,1),(237,1)}
       204:{3,4,6}:{(182,1),(183,1),(184,1),(222,1)}
       205:{2,4,5}:{(183,1),(188,1),(219,1),(222,1),(224,1),(240,1)}
       206:{1,3,6}:{(185,1),(186,1),(189,1),(223,1)}
       207:{2,4,6}:{(186,1),(187,1),(190,1),(223,1),(224,1)}
       208:{1,3,5}:{(187,1),(188,1),(222,1),(224,1)}
       209:{1,4,7}:{(189,1),(190,1),(191,1),(223,1)}
       210:{1,3,5}:{(192,1),(193,1),(194,1),(225,1),(243,1)}
       211:{1,2,4,5}:{(193,1),(195,1),(225,1),(226,1),(242,1)}
       212:{2,4,6}:{(194,1),(196,1),(198,1),(225,1),(228,1),(242,1)}
       213:{1,3,6}:{(195,1),(197,1),(226,1),(228,1)}
       214:{1,2,4,7}:{(196,1),(201,1),(227,1),(229,1),(233,1)}
       215:{2,3,7}:{(196,1),(197,1),(228,1),(229,1)}
       216:{1,2,6}:{(198,1),(201,1),(230,1)}
       217:{2,3,6}:{(198,1),(199,1),(202,1),(230,1),(231,1)}
       218:{1,3,4,6}:{(199,1),(200,1),(203,1),(204,1),(231,1),(232,1)}
       219:{1,4,5}:{(200,1),(205,1),(232,1),(234,1)}
       220:{1,3,5,7}:{(201,1),(202,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       221:{2,4,7}:{(202,1),(203,1),(231,1),(233,1),(242,1)}
       222:{3,5}:{(204,1),(205,1)}
       223:{1,4,6}:{(206,1),(207,1),(209,1),(234,1)}
       224:{2,5}:{(207,1),(208,1),(234,1)}
       225:{2,5}:{(210,1),(212,1)}
       226:{1,3,5}:{(211,1),(213,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(212,1),(214,1),(216,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(212,1),(213,1),(215,1),(236,1),(238,1)}
       229:{1,3,7}:{(214,1),(215,1),(238,1)}
       230:{1,3,6}:{(216,1),(217,1),(220,1),(239,1)}
       231:{2,4,6}:{(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,3,5}:{(218,1),(219,1),(222,1),(240,1)}
       233:{1,4,7}:{(220,1),(221,1),(239,1),(244,1)}
       234:{1,5}:{(223,1),(224,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1154 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(9,1),(15,1),(17,1),(47,1)}
         1:{1,3,6}:{(0,1),(5,1),(6,1),(7,1),(124,1)}
         2:{1,2,5}:{(0,1),(6,1),(20,1),(66,1),(133,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(8,1),(21,1),(29,1),(174,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(10,1),(11,1),(15,1),(32,1),(39,1),(44,1),(47,1),(69,1),(85,1)}
         5:{2,3,6}:{(1,1),(9,1),(12,1),(13,1),(14,1),(69,1),(106,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(15,1),(111,1),(116,1)}
         7:{1,3,7}:{(1,1),(3,1),(14,1),(140,1),(179,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(16,1),(17,1),(37,1),(147,1),(167,1)}
         9:{2,4,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(27,1),(57,1)}
        10:{1,3,5}:{(4,1),(20,1),(22,1),(55,1),(66,1),(105,1)}
        11:{1,3,4,7}:{(4,1),(7,1),(21,1),(23,1),(29,1),(51,1),(64,1),(90,1),(175,1)}
        12:{1,3,6}:{(5,1),(19,1),(24,1),(25,1),(26,1)}
        13:{2,3,5}:{(5,1),(6,1),(20,1),(25,1),(27,1),(55,1),(93,1),(98,1)}
        14:{2,3,7}:{(5,1),(7,1),(21,1),(26,1),(90,1),(125,1),(184,1)}
        15:{1,4}:{(6,1),(27,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(8,1),(28,1),(29,1),(30,1),(66,1),(129,1),(134,1),(159,1)}
        17:{1,2,6}:{(8,1),(30,1),(57,1)}
        18:{1,3,5,6}:{(10,1),(31,1),(32,1),(33,1),(39,1),(69,1),(78,1),(115,1)}
        19:{1,4,6}:{(9,1),(12,1),(34,1),(35,1),(42,1),(75,1)}
        20:{2,5}:{(9,1),(10,1),(34,1)}
        21:{2,4,7}:{(9,1),(11,1),(14,1),(35,1),(37,1),(180,1)}
        22:{1,4,5}:{(10,1),(15,1),(32,1),(36,1),(111,1),(123,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(76,1),(170,1),(177,1)}
        24:{1,2,6}:{(12,1),(40,1),(41,1),(106,1)}
        25:{1,3,5}:{(12,1),(13,1),(34,1),(40,1),(42,1),(79,1)}
        26:{1,3,7}:{(12,1),(14,1),(35,1),(41,1),(187,1)}
        27:{2,4}:{(13,1),(15,1),(42,1),(44,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(37,1),(43,1),(45,1),(46,1),(76,1),(86,1),(112,1),(117,1),(149,1)}
        29:{1,4,7}:{(15,1),(16,1),(45,1),(47,1),(168,1)}
        30:{1,3,6}:{(16,1),(17,1),(46,1),(47,1),(144,1)}
        31:{2,5,6}:{(18,1),(20,1),(48,1),(49,1),(50,1),(57,1)}
        32:{1,4,6}:{(18,1),(22,1),(49,1),(51,1),(124,1),(132,1)}
        33:{1,3,5,7}:{(18,1),(50,1),(51,1),(52,1),(90,1),(92,1),(128,1)}
        34:{1,5}:{(19,1),(20,1)}
        35:{1,4,7}:{(19,1),(21,1),(26,1),(54,1),(185,1)}
        36:{2,4,5}:{(20,1),(22,1),(27,1),(49,1),(53,1),(55,1),(93,1)}
        37:{2,5,7}:{(20,1),(21,1),(23,1),(54,1),(57,1),(176,1),(182,1)}
        38:{1,4,5,7}:{(22,1),(23,1),(29,1),(51,1),(56,1),(58,1),(66,1),(92,1),(129,1),(161,1),(171,1)}
        39:{1,3,6}:{(23,1),(57,1),(58,1),(96,1)}
        40:{1,2,5}:{(24,1),(25,1),(59,1),(93,1)}
        41:{1,2,7}:{(24,1),(26,1),(125,1),(188,1)}
        42:{1,4}:{(25,1),(27,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(54,1),(60,1),(62,1),(63,1),(99,1),(104,1),(136,1)}
        44:{3,4}:{(27,1),(55,1)}
        45:{2,4,7}:{(27,1),(28,1),(29,1),(62,1),(64,1),(65,1),(160,1)}
        46:{2,3,6}:{(28,1),(30,1),(57,1),(63,1),(65,1),(96,1),(130,1)}
        47:{1,4,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{1,5,6}:{(31,1),(34,1),(67,1),(68,1),(75,1)}
        49:{2,4,6}:{(31,1),(32,1),(36,1),(67,1),(69,1),(70,1),(106,1)}
        50:{2,5,7}:{(31,1),(33,1),(68,1),(70,1),(71,1)}
        51:{1,4,7}:{(32,1),(33,1),(70,1),(140,1),(143,1)}
        52:{1,3,6,7}:{(33,1),(39,1),(71,1),(72,1),(109,1),(177,1)}
        53:{1,4,5}:{(34,1),(36,1),(42,1),(67,1),(73,1)}
        54:{1,5,7}:{(34,1),(35,1),(37,1),(75,1),(181,1),(186,1)}
        55:{3,5}:{(36,1),(44,1),(69,1)}
        56:{2,4,5,7}:{(36,1),(37,1),(38,1),(45,1),(70,1),(74,1),(76,1),(77,1),(86,1),(110,1),(112,1),(123,1),(143,1),(152,1),(164,1)}
        57:{2,6}:{(37,1),(39,1),(75,1)}
        58:{1,4,6}:{(38,1),(39,1),(77,1),(78,1),(144,1)}
        59:{1,2,4}:{(40,1),(42,1),(79,1),(82,1)}
        60:{1,2,5,7}:{(40,1),(41,1),(43,1),(80,1),(81,1),(112,1),(119,1)}
        61:{1,3,4}:{(42,1),(44,1),(73,1),(79,1),(82,1)}
        62:{1,4,7}:{(42,1),(43,1),(45,1),(84,1),(150,1)}
        63:{1,3,6}:{(43,1),(46,1),(75,1),(81,1),(84,1)}
        64:{3,4,7}:{(44,1),(45,1),(76,1),(85,1),(143,1),(169,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        66:{1,5}:{(47,1),(86,1)}
        67:{1,4,6}:{(48,1),(49,1),(53,1),(87,1),(88,1)}
        68:{1,5,7}:{(48,1),(50,1),(88,1),(89,1)}
        69:{3,6}:{(49,1),(55,1),(90,1)}
        70:{2,4,7}:{(49,1),(50,1),(51,1),(88,1),(90,1),(125,1)}
        71:{2,6,7}:{(50,1),(52,1),(57,1),(89,1),(182,1)}
        72:{1,4,6,7}:{(51,1),(52,1),(58,1),(91,1),(92,1),(153,1),(171,1)}
        73:{1,3,5}:{(53,1),(55,1),(61,1),(87,1),(93,1)}
        74:{1,4,5,7}:{(53,1),(54,1),(56,1),(62,1),(88,1),(94,1),(95,1),(104,1),(127,1),(139,1),(155,1)}
        75:{1,6}:{(54,1),(57,1)}
        76:{3,5,7}:{(55,1),(56,1),(64,1),(90,1),(96,1),(105,1),(162,1),(172,1)}
        77:{2,4,6}:{(56,1),(57,1),(58,1),(95,1),(96,1),(97,1),(130,1),(132,1)}
        78:{1,5,6}:{(58,1),(66,1),(92,1),(97,1)}
        79:{1,3}:{(59,1),(98,1)}
        80:{1,2,4,7}:{(59,1),(60,1),(62,1),(99,1),(100,1),(102,1)}
        81:{1,2,6}:{(60,1),(63,1),(130,1)}
        82:{2,4}:{(61,1),(93,1),(98,1),(101,1)}
        83:{1,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(99,1),(102,1),(103,1),(155,1),(172,1)}
        84:{1,4,6}:{(62,1),(63,1),(65,1),(104,1)}
        85:{3,4,6}:{(64,1),(65,1),(96,1),(105,1),(132,1)}
        86:{2,5}:{(65,1),(66,1),(104,1),(105,1)}
        87:{1,3,6}:{(67,1),(69,1),(73,1),(106,1),(107,1)}
        88:{1,4,7}:{(67,1),(68,1),(70,1),(107,1)}
        89:{1,6,7}:{(68,1),(71,1),(75,1),(186,1)}
        90:{3,7}:{(69,1),(70,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(108,1),(109,1),(110,1),(141,1),(143,1),(164,1)}
        92:{1,5,7}:{(72,1),(78,1),(110,1)}
        93:{2,5}:{(73,1),(82,1),(106,1),(111,1)}
        94:{1,3,5,7}:{(73,1),(74,1),(76,1),(83,1),(107,1),(112,1),(113,1),(122,1)}
        95:{1,4,6}:{(74,1),(75,1),(77,1),(113,1),(114,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{2,5,6}:{(77,1),(78,1),(86,1),(110,1),(114,1),(115,1)}
        98:{2,3}:{(79,1),(82,1),(116,1)}
        99:{1,3,7}:{(79,1),(80,1),(117,1),(118,1),(186,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(84,1),(118,1),(119,1),(121,1),(150,1)}
       101:{1,4}:{(82,1),(111,1),(116,1)}
       102:{2,4,7}:{(82,1),(83,1),(112,1),(117,1),(120,1),(121,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(85,1),(113,1),(118,1),(121,1),(122,1),(146,1),(150,1),(166,1),(169,1)}
       104:{1,5}:{(84,1),(86,1)}
       105:{3,5}:{(85,1),(86,1),(123,1)}
       106:{2,6}:{(87,1),(93,1),(124,1),(125,1)}
       107:{1,3,7}:{(87,1),(88,1),(90,1),(125,1)}
       108:{1,4,6,7}:{(88,1),(89,1),(91,1),(95,1),(126,1),(127,1),(155,1)}
       109:{3,6,7}:{(90,1),(91,1),(96,1),(128,1),(172,1)}
       110:{2,5,7}:{(91,1),(92,1),(97,1),(127,1),(128,1)}
       111:{1,5}:{(93,1),(101,1),(124,1)}
       112:{2,5,7}:{(93,1),(94,1),(102,1),(125,1),(129,1),(130,1),(138,1)}
       113:{1,3,6}:{(94,1),(95,1),(96,1),(130,1)}
       114:{1,5,6}:{(95,1),(97,1),(104,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(105,1),(128,1),(132,1)}
       116:{1,3}:{(98,1),(101,1),(133,1)}
       117:{2,3,7}:{(98,1),(99,1),(102,1),(134,1),(135,1),(172,1),(182,1)}
       118:{1,3,6}:{(99,1),(100,1),(135,1),(136,1),(183,1)}
       119:{1,2,5}:{(100,1),(104,1),(136,1),(138,1),(188,1)}
       120:{1,4,7}:{(101,1),(102,1),(129,1),(134,1),(137,1)}
       121:{2,4,6}:{(102,1),(103,1),(130,1),(135,1),(137,1),(138,1),(160,1)}
       122:{1,3,5}:{(103,1),(104,1),(105,1),(138,1),(139,1),(162,1)}
       123:{4,5}:{(105,1),(132,1)}
       124:{1,6}:{(106,1),(111,1),(140,1)}
       125:{2,7}:{(106,1),(107,1),(140,1)}
       126:{1,3,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(142,1)}
       127:{1,5,7}:{(108,1),(110,1),(114,1)}
       128:{3,5,7}:{(109,1),(110,1),(115,1),(143,1)}
       129:{1,5,7}:{(111,1),(112,1),(120,1),(140,1),(144,1),(151,1)}
       130:{2,6}:{(112,1),(113,1),(144,1)}
       131:{1,3,5,6}:{(113,1),(114,1),(115,1),(122,1),(142,1),(145,1),(146,1),(166,1)}
       132:{4,6}:{(115,1),(123,1),(143,1)}
       133:{1,2}:{(116,1)}
       134:{1,3,7}:{(116,1),(117,1),(120,1),(147,1),(148,1)}
       135:{2,3,6}:{(117,1),(118,1),(121,1),(148,1),(149,1),(166,1),(178,1)}
       136:{1,3,5}:{(118,1),(119,1),(149,1),(150,1),(181,1),(187,1)}
       137:{1,4,6}:{(120,1),(121,1),(144,1),(148,1),(151,1),(168,1)}
       138:{2,5}:{(121,1),(122,1),(151,1)}
       139:{1,4,5}:{(122,1),(123,1),(146,1),(150,1),(152,1),(181,1)}
       140:{1,7}:{(124,1),(125,1)}
       141:{2,6,7}:{(125,1),(126,1),(130,1),(153,1),(154,1)}
       142:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(154,1),(155,1),(172,1)}
       143:{4,7}:{(128,1),(132,1)}
       144:{1,6}:{(129,1),(130,1)}
       145:{2,5,6}:{(130,1),(131,1),(138,1),(154,1),(156,1),(157,1)}
       146:{1,4,6}:{(131,1),(132,1),(139,1),(155,1),(157,1),(183,1)}
       147:{1,2,7}:{(133,1),(134,1),(158,1),(182,1)}
       148:{1,3,6}:{(134,1),(135,1),(137,1),(158,1),(159,1)}
       149:{2,3,5}:{(135,1),(136,1),(138,1),(159,1),(160,1),(162,1),(176,1),(184,1)}
       150:{1,4}:{(136,1),(160,1)}
       151:{1,5}:{(137,1),(138,1)}
       152:{2,4,5}:{(138,1),(139,1),(157,1),(160,1),(161,1),(162,1),(176,1)}
       153:{1,6,7}:{(140,1),(141,1),(144,1),(163,1)}
       154:{2,5,7}:{(141,1),(142,1),(145,1),(163,1),(164,1)}
       155:{1,4,7}:{(142,1),(143,1),(146,1),(164,1),(186,1)}
       156:{1,5,6}:{(144,1),(145,1),(151,1),(163,1),(165,1)}
       157:{2,4,6}:{(145,1),(146,1),(152,1),(164,1),(165,1),(166,1),(178,1)}
       158:{1,2,6}:{(147,1),(148,1),(167,1),(178,1)}
       159:{1,3,5}:{(148,1),(149,1),(151,1),(167,1),(168,1),(179,1)}
       160:{2,4}:{(149,1),(150,1),(168,1),(169,1)}
       161:{1,4,5}:{(151,1),(152,1),(165,1),(168,1),(170,1)}
       162:{3,5}:{(152,1),(166,1),(169,1)}
       163:{1,5,7}:{(153,1),(154,1),(156,1),(171,1)}
       164:{2,4,7}:{(154,1),(155,1),(157,1),(171,1),(172,1),(182,1)}
       165:{1,4,6}:{(156,1),(157,1),(161,1),(171,1),(173,1)}
       166:{3,6}:{(157,1),(162,1),(172,1)}
       167:{1,2,5}:{(158,1),(159,1),(174,1),(176,1)}
       168:{1,4}:{(159,1),(160,1)}
       169:{3,4}:{(160,1),(162,1)}
       170:{1,3,5}:{(161,1),(162,1),(173,1),(175,1),(176,1)}
       171:{1,4,7}:{(163,1),(164,1),(165,1),(177,1)}
       172:{3,7}:{(164,1),(166,1)}
       173:{1,3,6}:{(165,1),(166,1),(170,1),(177,1),(178,1)}
       174:{1,2,4}:{(167,1),(168,1),(179,1),(180,1)}
       175:{1,3,4}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,5}:{(170,1),(178,1),(180,1),(181,1)}
       177:{1,3,7}:{(171,1),(172,1),(173,1),(182,1)}
       178:{2,6}:{(173,1),(176,1),(182,1),(183,1)}
       179:{1,3}:{(174,1),(184,1)}
       180:{2,4}:{(175,1),(176,1),(184,1),(185,1)}
       181:{1,5}:{(176,1),(183,1),(185,1)}
       182:{2,7}:{(177,1),(178,1),(186,1)}
       183:{1,6}:{(178,1),(181,1),(186,1)}
       184:{2,3}:{(179,1),(180,1),(187,1)}
       185:{1,4}:{(180,1),(181,1),(187,1)}
       186:{1,7}:{(182,1),(183,1)}
       187:{1,3}:{(184,1),(185,1),(188,1)}
       188:{1,2}:{(187,1)}

1155 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1156 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(114,1)}
         1:{2,5,6,7}:{(0,1),(3,1),(4,1),(20,1),(133,1)}
         2:{1,4,6,7}:{(0,1),(4,1),(5,1),(37,1),(141,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(32,1),(153,1)}
         4:{2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(24,1),(163,1)}
         5:{1,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(52,1),(58,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(26,1),(28,1),(29,1),(58,1),(104,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(183,1)}
         8:{2,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(20,1),(36,1),(40,1),(80,1)}
         9:{3,6,7}:{(4,1),(16,1),(195,1)}
        10:{1,4,5,6}:{(5,1),(15,1),(18,1),(70,1),(77,1),(137,1),(141,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1)}
        12:{2,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(40,1),(42,1),(43,1),(80,1)}
        13:{1,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(32,1),(58,1)}
        14:{1,3,6,7}:{(7,1),(9,1),(23,1),(24,1),(214,1)}
        15:{2,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(30,1),(50,1),(55,1),(101,1),(159,1),(163,1)}
        16:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(104,1)}
        17:{2,3,6,7}:{(9,1),(12,1),(24,1),(27,1),(28,1),(61,1),(104,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(25,1),(29,1),(30,1),(167,1)}
        19:{1,3,4,5,7}:{(11,1),(26,1),(29,1),(31,1),(54,1),(58,1),(64,1),(99,1),(104,1),(112,1),(113,1),(155,1),(162,1),(167,1)}
        20:{2,5,7}:{(11,1),(12,1),(30,1),(32,1)}
        21:{1,4,6,7}:{(12,1),(28,1),(32,1),(58,1),(62,1)}
        22:{1,4,5,6}:{(13,1),(15,1),(34,1),(44,1),(77,1),(179,1),(183,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(16,1),(34,1),(35,1),(36,1)}
        24:{2,6,7}:{(14,1),(36,1),(37,1),(243,1)}
        25:{3,5,6}:{(15,1),(16,1),(38,1),(127,1),(190,1),(195,1)}
        26:{3,4,7}:{(16,1),(38,1),(40,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(20,1),(36,1),(39,1),(40,1),(41,1),(71,1)}
        28:{1,3,6,7}:{(17,1),(21,1),(37,1),(41,1),(42,1),(83,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(38,1),(43,1),(77,1),(83,1),(127,1),(141,1),(195,1)}
        30:{2,5,6}:{(18,1),(20,1),(43,1),(44,1),(198,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(40,1),(43,1),(45,1),(46,1),(75,1),(80,1),(86,1),(125,1),(139,1),(198,1)}
        32:{1,5,7}:{(20,1),(21,1),(44,1)}
        33:{1,2,4,6,7}:{(21,1),(42,1),(47,1),(48,1),(80,1),(82,1),(84,1),(88,1),(258,1),(294,1),(310,1)}
        34:{1,3,5,6}:{(22,1),(23,1),(25,1),(49,1),(50,1),(210,1),(214,1)}
        35:{1,3,4,7}:{(23,1),(26,1),(49,1),(51,1),(58,1),(94,1),(104,1)}
        36:{2,5,7}:{(23,1),(24,1),(50,1),(51,1),(52,1)}
        37:{1,6,7}:{(24,1),(52,1),(267,1)}
        38:{3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(27,1),(30,1),(50,1),(55,1),(56,1),(61,1),(91,1),(98,1)}
        40:{2,4,7}:{(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,7}:{(27,1),(28,1),(32,1),(52,1),(56,1),(58,1),(59,1),(94,1),(104,1)}
        42:{2,6,7}:{(28,1),(59,1),(107,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(61,1),(62,1),(107,1)}
        44:{1,5,6}:{(30,1),(32,1),(62,1),(228,1)}
        45:{2,3,5,7}:{(31,1),(57,1),(61,1),(64,1),(98,1),(104,1),(155,1),(162,1),(213,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(58,1),(62,1),(64,1),(99,1),(169,1),(228,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(59,1),(63,1),(66,1),(106,1),(149,1),(278,1),(304,1)}
        48:{1,3,6,7}:{(33,1),(60,1),(66,1),(104,1),(108,1),(267,1),(313,1)}
        49:{1,3,4,6}:{(34,1),(35,1),(38,1),(68,1),(69,1),(77,1),(117,1),(127,1)}
        50:{2,5,6}:{(34,1),(36,1),(69,1),(70,1),(239,1),(243,1)}
        51:{2,4,7}:{(35,1),(36,1),(69,1),(71,1),(72,1),(120,1)}
        52:{1,5,7}:{(36,1),(37,1),(70,1),(72,1)}
        53:{1,2,6,7}:{(37,1),(42,1),(73,1),(74,1),(134,1),(243,1),(287,1),(294,1)}
        54:{3,4,5}:{(38,1),(75,1),(190,1),(288,1)}
        55:{2,4,6}:{(38,1),(39,1),(40,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(77,1),(78,1),(83,1),(117,1),(124,1),(127,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(71,1),(76,1),(79,1),(131,1),(139,1),(181,1),(187,1),(192,1)}
        58:{1,4,7}:{(40,1),(41,1),(77,1),(80,1)}
        59:{2,5,7}:{(41,1),(42,1),(78,1),(80,1),(120,1)}
        60:{2,3,6,7}:{(42,1),(48,1),(74,1),(81,1),(82,1),(135,1),(195,1),(243,1),(294,1)}
        61:{2,3,6}:{(43,1),(45,1),(83,1),(127,1),(195,1),(243,1)}
        62:{1,4,6}:{(43,1),(44,1),(46,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(47,1),(78,1),(84,1),(85,1),(133,1),(176,1),(185,1),(198,1),(256,1),(292,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(79,1),(83,1),(86,1),(124,1),(242,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(80,1),(84,1),(86,1),(87,1),(88,1),(125,1),(129,1),(132,1),(137,1),(139,1),(185,1),(198,1),(201,1),(242,1),(246,1),(253,1),(289,1),(310,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(81,1),(85,1),(88,1),(180,1),(242,1)}
        67:{1,3,4,6,7}:{(48,1),(82,1),(88,1),(89,1),(131,1),(136,1),(141,1),(195,1)}
        68:{1,3,4,5}:{(49,1),(54,1),(90,1),(99,1),(144,1),(155,1),(207,1),(210,1)}
        69:{2,4,6}:{(49,1),(50,1),(51,1),(90,1),(91,1),(92,1),(146,1)}
        70:{1,5,6}:{(50,1),(52,1),(92,1),(264,1),(267,1)}
        71:{2,3,7}:{(51,1),(91,1),(94,1),(104,1)}
        72:{1,4,7}:{(51,1),(52,1),(92,1),(94,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(59,1),(93,1),(95,1),(96,1),(213,1),(300,1),(304,1)}
        74:{1,3,6,7}:{(53,1),(60,1),(96,1),(97,1),(165,1),(214,1)}
        75:{2,4,5}:{(54,1),(55,1),(98,1),(99,1),(269,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(61,1),(91,1),(98,1),(100,1),(143,1),(158,1),(166,1),(209,1),(219,1),(269,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(99,1),(101,1)}
        78:{2,5,6}:{(56,1),(59,1),(101,1),(107,1),(146,1),(154,1)}
        79:{1,3,4,7}:{(57,1),(58,1),(64,1),(94,1),(100,1),(103,1),(104,1),(160,1),(169,1),(212,1)}
        80:{2,4,7}:{(58,1),(59,1),(101,1),(104,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(102,1),(104,1),(105,1),(106,1),(150,1),(162,1),(213,1),(304,1),(313,1)}
        82:{2,4,6,7}:{(60,1),(67,1),(97,1),(105,1),(106,1),(163,1),(166,1)}
        83:{1,3,6}:{(61,1),(62,1),(64,1),(107,1),(267,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(101,1),(107,1),(108,1),(109,1),(163,1),(166,1),(231,1),(267,1),(276,1),(302,1)}
        85:{1,3,5,6}:{(63,1),(66,1),(102,1),(108,1),(109,1),(167,1),(208,1),(216,1),(264,1),(267,1)}
        86:{2,5,7}:{(64,1),(103,1),(107,1),(154,1)}
        87:{1,3,5,7}:{(65,1),(104,1),(108,1),(111,1),(112,1),(155,1),(160,1),(162,1),(167,1),(216,1),(301,1),(313,1)}
        88:{1,4,7}:{(66,1),(105,1),(109,1)}
        89:{1,3,5,7}:{(67,1),(106,1),(113,1),(114,1),(162,1),(167,1)}
        90:{2,4,5}:{(68,1),(69,1),(115,1),(116,1),(174,1),(236,1),(239,1)}
        91:{2,3,6}:{(69,1),(71,1),(115,1),(117,1),(127,1)}
        92:{1,4,6}:{(69,1),(70,1),(72,1),(116,1),(117,1)}
        93:{1,2,5,6}:{(70,1),(73,1),(78,1),(118,1),(119,1),(134,1),(185,1),(239,1),(243,1),(285,1),(292,1)}
        94:{1,3,7}:{(71,1),(72,1),(117,1),(120,1)}
        95:{1,2,4,7}:{(72,1),(73,1),(80,1),(118,1),(120,1),(121,1),(122,1),(181,1),(308,1),(310,1),(314,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(81,1),(119,1),(121,1),(122,1),(123,1)}
        97:{1,4,6,7}:{(74,1),(82,1),(122,1),(123,1),(183,1),(197,1)}
        98:{2,3,5}:{(75,1),(76,1),(124,1),(190,1),(198,1),(239,1)}
        99:{1,4,5}:{(75,1),(77,1),(124,1),(125,1),(246,1)}
       100:{1,3,4,6}:{(76,1),(77,1),(79,1),(83,1),(117,1),(124,1),(126,1),(127,1),(173,1),(187,1),(188,1),(197,1),(238,1),(246,1)}
       101:{2,4,6}:{(77,1),(78,1),(80,1),(125,1),(127,1)}
       102:{2,3,5,6}:{(78,1),(81,1),(85,1),(119,1),(127,1),(128,1),(133,1),(135,1),(177,1),(186,1),(190,1),(195,1),(198,1),(239,1),(243,1),(245,1),(292,1),(309,1)}
       103:{2,4,7}:{(79,1),(86,1),(120,1),(126,1),(130,1)}
       104:{3,7}:{(80,1),(127,1)}
       105:{2,4,7}:{(81,1),(88,1),(122,1),(128,1),(131,1)}
       106:{2,5,7}:{(82,1),(89,1),(123,1),(133,1),(198,1)}
       107:{2,6}:{(83,1),(86,1)}
       108:{1,3,6}:{(84,1),(87,1),(127,1),(135,1),(195,1),(309,1)}
       109:{1,4,6}:{(85,1),(88,1),(128,1),(137,1),(246,1)}
       110:{1,2,5,7}:{(86,1),(129,1),(134,1),(138,1),(185,1),(242,1),(253,1)}
       111:{2,3,5,7}:{(86,1),(87,1),(130,1),(135,1),(138,1),(139,1),(186,1),(192,1),(198,1),(245,1),(253,1)}
       112:{1,3,4,7}:{(87,1),(88,1),(131,1),(136,1),(139,1),(187,1),(246,1),(288,1)}
       113:{1,4,5,7}:{(88,1),(89,1),(132,1),(137,1),(141,1),(242,1)}
       114:{1,3,5,6}:{(89,1),(133,1),(141,1),(195,1)}
       115:{2,3,5}:{(90,1),(91,1),(143,1),(144,1),(155,1)}
       116:{1,4,5}:{(90,1),(92,1),(144,1),(261,1),(264,1)}
       117:{1,3,6}:{(91,1),(92,1),(94,1),(144,1),(146,1)}
       118:{1,2,4,6}:{(92,1),(93,1),(95,1),(101,1),(145,1),(146,1),(147,1),(148,1),(209,1),(298,1),(302,1),(311,1)}
       119:{1,3,5,6}:{(93,1),(96,1),(102,1),(147,1),(148,1),(153,1),(165,1),(210,1),(214,1),(216,1),(228,1)}
       120:{2,7}:{(94,1),(146,1)}
       121:{1,3,7}:{(95,1),(104,1),(147,1),(150,1),(313,1)}
       122:{1,4,7}:{(96,1),(105,1),(148,1)}
       123:{1,5,7}:{(97,1),(106,1),(153,1),(228,1)}
       124:{1,3,5}:{(98,1),(99,1),(100,1),(154,1),(155,1),(228,1),(264,1)}
       125:{2,4,5}:{(99,1),(101,1),(154,1),(155,1),(217,1)}
       126:{2,4,6}:{(100,1),(103,1),(107,1),(146,1),(154,1),(157,1),(204,1),(217,1)}
       127:{3,6}:{(101,1),(104,1),(155,1)}
       128:{2,4,6}:{(102,1),(105,1),(109,1),(148,1),(158,1),(159,1),(217,1),(269,1)}
       129:{1,2,4,7}:{(103,1),(110,1),(149,1),(156,1),(160,1),(169,1),(212,1),(224,1)}
       130:{2,3,7}:{(103,1),(104,1),(157,1),(160,1)}
       131:{3,4,7}:{(104,1),(105,1),(158,1),(162,1),(313,1)}
       132:{2,4,5,7}:{(105,1),(106,1),(113,1),(152,1),(159,1),(162,1),(163,1),(213,1)}
       133:{2,5,6}:{(106,1),(114,1),(153,1),(163,1)}
       134:{1,2,6}:{(107,1),(110,1),(165,1),(267,1),(276,1)}
       135:{2,3,6}:{(107,1),(108,1),(111,1),(165,1),(166,1),(276,1)}
       136:{1,3,4,6}:{(108,1),(109,1),(112,1),(158,1),(166,1),(167,1)}
       137:{1,4,5}:{(109,1),(159,1),(167,1),(264,1)}
       138:{1,3,5,7}:{(110,1),(111,1),(160,1),(165,1),(169,1),(216,1),(228,1)}
       139:{2,4,7}:{(111,1),(112,1),(166,1),(169,1),(217,1),(269,1)}
       140:{1,3,4,5,7}:{(112,1),(113,1),(162,1),(167,1),(170,1),(171,1),(218,1),(225,1),(230,1),(270,1),(272,1),(301,1),(303,1),(313,1)}
       141:{1,4,6}:{(113,1),(114,1),(163,1),(267,1)}
       142:{1,3,5,6,7}:{(114,1),(164,1),(172,1),(227,1),(230,1)}
       143:{2,3,4}:{(115,1),(173,1),(187,1),(236,1),(279,1)}
       144:{1,3,5}:{(115,1),(116,1),(117,1),(173,1),(174,1)}
       145:{1,2,4,5}:{(116,1),(118,1),(125,1),(174,1),(175,1),(179,1),(185,1),(233,1),(236,1),(239,1),(246,1),(282,1),(289,1),(305,1)}
       146:{2,6}:{(117,1),(120,1),(174,1)}
       147:{1,3,6}:{(118,1),(121,1),(127,1),(175,1),(177,1),(309,1)}
       148:{1,4,6}:{(119,1),(122,1),(128,1),(179,1),(246,1)}
       149:{1,2,7}:{(120,1),(176,1),(180,1),(314,1)}
       150:{2,3,7}:{(120,1),(121,1),(177,1),(180,1),(181,1),(314,1)}
       151:{1,3,4,7}:{(121,1),(122,1),(131,1),(178,1),(181,1),(182,1)}
       152:{1,4,5,7}:{(122,1),(123,1),(132,1),(179,1),(182,1),(183,1)}
       153:{1,5,6}:{(123,1),(133,1),(183,1)}
       154:{2,5}:{(124,1),(126,1)}
       155:{3,5}:{(125,1),(127,1),(187,1)}
       156:{1,2,4,6}:{(126,1),(129,1),(134,1),(176,1),(185,1),(188,1),(197,1),(233,1),(238,1),(246,1),(249,1)}
       157:{2,3,6}:{(126,1),(127,1),(130,1),(186,1),(188,1),(234,1)}
       158:{3,4,6}:{(127,1),(128,1),(131,1),(187,1),(190,1),(195,1),(288,1),(309,1)}
       159:{2,4,5}:{(128,1),(137,1),(179,1),(190,1),(198,1),(239,1)}
       160:{1,3,7}:{(129,1),(130,1),(188,1),(192,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(139,1),(181,1),(189,1),(193,1),(194,1),(288,1),(291,1),(307,1)}
       162:{3,5,7}:{(131,1),(132,1),(190,1),(195,1)}
       163:{2,4,6}:{(132,1),(133,1),(141,1),(183,1),(195,1),(243,1)}
       164:{2,5,6,7}:{(133,1),(142,1),(184,1),(196,1),(257,1)}
       165:{1,3,6}:{(134,1),(135,1),(138,1),(197,1)}
       166:{2,4,6}:{(135,1),(136,1),(139,1),(197,1),(198,1)}
       167:{1,3,5}:{(136,1),(137,1),(190,1),(198,1)}
       168:{1,4,5,6}:{(137,1),(141,1),(191,1),(199,1),(200,1),(285,1),(290,1)}
       169:{1,4,7}:{(138,1),(139,1),(197,1),(246,1)}
       170:{2,4,5,7}:{(139,1),(140,1),(194,1),(198,1),(201,1),(202,1),(247,1),(253,1),(257,1),(289,1),(291,1),(310,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(195,1),(199,1),(202,1),(248,1),(254,1),(290,1),(309,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(196,1),(200,1),(287,1)}
       173:{1,3,4}:{(143,1),(144,1),(204,1),(259,1),(261,1)}
       174:{2,5}:{(144,1),(146,1),(204,1)}
       175:{1,3,5}:{(145,1),(147,1),(155,1),(206,1),(207,1),(259,1),(301,1)}
       176:{1,2,6}:{(146,1),(149,1),(205,1),(208,1),(311,1)}
       177:{2,3,6}:{(146,1),(147,1),(150,1),(206,1),(208,1),(209,1),(311,1)}
       178:{1,3,4,6}:{(147,1),(148,1),(151,1),(158,1),(207,1),(209,1),(210,1),(214,1)}
       179:{1,4,5}:{(148,1),(159,1),(210,1),(228,1)}
       180:{1,3,7}:{(149,1),(150,1),(208,1),(212,1)}
       181:{2,4,7}:{(150,1),(151,1),(209,1),(212,1),(213,1)}
       182:{1,3,5,7}:{(151,1),(152,1),(162,1),(210,1),(213,1),(214,1)}
       183:{1,4,6}:{(152,1),(153,1),(163,1),(214,1)}
       184:{1,5,6,7}:{(153,1),(164,1),(215,1),(278,1)}
       185:{1,2,5}:{(154,1),(156,1),(216,1),(228,1),(264,1),(273,1)}
       186:{2,3,5}:{(154,1),(155,1),(157,1),(216,1),(217,1)}
       187:{3,4}:{(155,1),(217,1)}
       188:{1,3,6}:{(156,1),(157,1),(160,1),(216,1),(219,1),(259,1)}
       189:{2,3,4,6}:{(157,1),(158,1),(161,1),(166,1),(209,1),(217,1),(220,1),(221,1),(226,1),(260,1),(271,1),(297,1)}
       190:{3,5}:{(158,1),(159,1)}
       191:{2,4,5,6}:{(159,1),(163,1),(168,1),(211,1),(222,1),(223,1),(229,1),(265,1),(271,1),(302,1)}
       192:{2,3,7}:{(160,1),(219,1),(224,1),(313,1)}
       193:{1,3,4,7}:{(160,1),(161,1),(169,1),(212,1),(220,1),(224,1),(225,1),(303,1),(312,1),(313,1)}
       194:{2,3,5,7}:{(161,1),(162,1),(170,1),(213,1),(221,1),(225,1),(226,1),(301,1),(313,1)}
       195:{3,6}:{(162,1),(163,1)}
       196:{2,4,6,7}:{(163,1),(164,1),(172,1),(215,1),(223,1),(227,1),(268,1)}
       197:{1,4,6}:{(165,1),(166,1),(169,1),(228,1)}
       198:{2,5}:{(166,1),(167,1),(228,1)}
       199:{1,3,5,6}:{(167,1),(168,1),(171,1),(222,1),(229,1),(230,1)}
       200:{1,4,5,7}:{(168,1),(172,1),(223,1),(230,1),(300,1),(303,1)}
       201:{1,4,5,7}:{(169,1),(170,1),(225,1),(228,1),(231,1),(270,1),(278,1),(303,1)}
       202:{2,4,6}:{(170,1),(171,1),(226,1),(229,1),(231,1),(276,1)}
       203:{1,3,4,6,7}:{(171,1),(172,1),(227,1),(230,1),(232,1),(272,1),(277,1),(303,1),(313,1)}
       204:{2,4}:{(173,1),(174,1),(234,1)}
       205:{1,2,5}:{(174,1),(176,1),(233,1),(235,1),(305,1)}
       206:{2,3,5}:{(174,1),(175,1),(177,1),(234,1),(235,1),(236,1),(239,1),(279,1),(305,1)}
       207:{1,3,4}:{(175,1),(187,1),(236,1),(246,1),(288,1)}
       208:{1,3,6}:{(176,1),(177,1),(180,1),(235,1),(238,1)}
       209:{2,4,6}:{(177,1),(178,1),(181,1),(236,1),(238,1),(239,1),(243,1)}
       210:{1,3,5}:{(178,1),(179,1),(190,1),(239,1)}
       211:{1,4,5,6}:{(179,1),(183,1),(191,1),(240,1),(241,1),(256,1),(290,1)}
       212:{1,4,7}:{(180,1),(181,1),(238,1),(242,1)}
       213:{2,5,7}:{(181,1),(182,1),(239,1),(242,1),(243,1)}
       214:{1,3,6}:{(182,1),(183,1),(195,1),(243,1)}
       215:{1,4,6,7}:{(183,1),(184,1),(196,1),(241,1),(244,1)}
       216:{1,3,5}:{(185,1),(186,1),(188,1),(245,1),(246,1)}
       217:{2,4}:{(186,1),(187,1),(246,1)}
       218:{3,4,5}:{(187,1),(190,1),(247,1),(248,1)}
       219:{2,3,6}:{(188,1),(192,1),(245,1),(249,1),(279,1),(309,1)}
       220:{1,3,4,6}:{(188,1),(189,1),(193,1),(197,1),(238,1),(246,1),(249,1),(250,1),(254,1),(280,1),(288,1),(290,1),(306,1),(309,1)}
       221:{2,3,5}:{(189,1),(190,1),(198,1),(239,1),(247,1),(250,1)}
       222:{3,5,6}:{(190,1),(191,1),(195,1),(248,1),(252,1),(309,1)}
       223:{2,4,5,7}:{(191,1),(196,1),(200,1),(241,1),(252,1),(257,1),(286,1),(291,1),(310,1)}
       224:{2,4,7}:{(192,1),(193,1),(249,1),(253,1),(314,1)}
       225:{1,3,5,7}:{(193,1),(194,1),(201,1),(242,1),(250,1),(253,1),(254,1)}
       226:{2,3,6}:{(194,1),(195,1),(202,1),(243,1),(254,1),(309,1)}
       227:{3,6,7}:{(195,1),(196,1),(252,1)}
       228:{1,5}:{(197,1),(198,1)}
       229:{2,5,6}:{(198,1),(199,1),(202,1),(256,1),(257,1)}
       230:{1,3,5,7}:{(199,1),(200,1),(203,1),(252,1),(257,1)}
       231:{1,4,6}:{(201,1),(202,1),(254,1),(256,1)}
       232:{2,4,6,7}:{(202,1),(203,1),(255,1),(257,1),(258,1),(291,1),(294,1),(310,1)}
       233:{1,2,4}:{(204,1),(205,1),(259,1),(261,1),(295,1)}
       234:{2,3}:{(204,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(208,1),(259,1),(261,1),(264,1)}
       236:{2,4}:{(206,1),(207,1),(261,1)}
       237:{1,3,4,5}:{(207,1),(210,1),(218,1),(262,1),(263,1),(270,1),(296,1),(301,1)}
       238:{1,4,6}:{(208,1),(209,1),(212,1),(261,1),(264,1),(267,1)}
       239:{2,5}:{(209,1),(210,1),(264,1)}
       240:{1,3,5,6}:{(210,1),(211,1),(214,1),(222,1),(263,1),(265,1),(266,1)}
       241:{1,4,5,7}:{(211,1),(215,1),(223,1),(266,1),(278,1),(303,1)}
       242:{1,5,7}:{(212,1),(213,1),(264,1),(267,1)}
       243:{2,6}:{(213,1),(214,1),(267,1)}
       244:{1,3,6,7}:{(214,1),(215,1),(227,1),(266,1),(268,1)}
       245:{2,3,5}:{(216,1),(219,1),(269,1),(273,1),(301,1)}
       246:{1,4}:{(216,1),(217,1),(269,1)}
       247:{2,4,5}:{(217,1),(218,1),(221,1),(270,1),(271,1)}
       248:{3,4,6}:{(218,1),(222,1),(271,1),(272,1)}
       249:{2,4,6}:{(219,1),(220,1),(224,1),(269,1),(273,1),(276,1),(295,1),(311,1)}
       250:{1,3,5}:{(220,1),(221,1),(228,1),(264,1),(270,1),(273,1),(301,1)}
       251:{2,3,5,6}:{(221,1),(222,1),(226,1),(229,1),(265,1),(271,1),(274,1),(275,1),(297,1)}
       252:{3,5,7}:{(222,1),(223,1),(227,1),(272,1),(313,1)}
       253:{2,5,7}:{(224,1),(225,1),(273,1),(276,1)}
       254:{1,3,6}:{(225,1),(226,1),(231,1),(267,1),(276,1)}
       255:{2,3,6,7}:{(226,1),(227,1),(232,1),(268,1),(275,1),(277,1),(313,1)}
       256:{1,5,6}:{(228,1),(229,1),(231,1),(278,1)}
       257:{2,5,7}:{(229,1),(230,1),(232,1),(278,1)}
       258:{1,4,6,7}:{(231,1),(232,1),(277,1),(278,1),(303,1)}
       259:{1,3}:{(233,1),(234,1),(279,1)}
       260:{2,3,4}:{(234,1),(236,1),(280,1),(281,1),(288,1)}
       261:{1,4}:{(235,1),(236,1)}
       262:{2,4,5}:{(236,1),(237,1),(239,1),(281,1),(282,1),(283,1),(305,1)}
       263:{1,3,4,6}:{(237,1),(240,1),(248,1),(283,1),(284,1),(290,1),(306,1),(309,1)}
       264:{1,5}:{(238,1),(239,1)}
       265:{2,5,6}:{(239,1),(240,1),(243,1),(283,1),(285,1),(286,1)}
       266:{1,3,5,7}:{(240,1),(241,1),(244,1),(252,1),(284,1),(286,1)}
       267:{1,6}:{(242,1),(243,1)}
       268:{2,6,7}:{(243,1),(244,1),(286,1),(287,1)}
       269:{2,4}:{(245,1),(246,1),(288,1)}
       270:{1,4,5}:{(246,1),(247,1),(250,1),(289,1),(290,1)}
       271:{2,4,6}:{(247,1),(248,1),(251,1),(290,1),(291,1)}
       272:{3,4,7}:{(248,1),(252,1),(291,1)}
       273:{2,5}:{(249,1),(250,1)}
       274:{1,3,5,6}:{(250,1),(251,1),(254,1),(256,1),(285,1),(290,1),(292,1),(293,1),(306,1),(309,1)}
       275:{2,3,5,7}:{(251,1),(252,1),(255,1),(257,1),(286,1),(291,1),(293,1),(307,1)}
       276:{2,6}:{(253,1),(254,1)}
       277:{1,3,6,7}:{(254,1),(255,1),(258,1),(287,1),(293,1),(294,1)}
       278:{1,5,7}:{(256,1),(257,1),(258,1)}
       279:{2,3}:{(259,1),(295,1)}
       280:{1,3,4}:{(259,1),(260,1),(261,1),(295,1),(296,1)}
       281:{2,3,5}:{(260,1),(262,1),(296,1),(297,1),(301,1)}
       282:{1,4,5}:{(261,1),(262,1),(264,1),(296,1),(298,1)}
       283:{2,4,6}:{(262,1),(263,1),(265,1),(297,1),(298,1),(299,1),(311,1)}
       284:{1,3,4,7}:{(263,1),(266,1),(272,1),(299,1),(303,1),(312,1),(313,1)}
       285:{1,5,6}:{(264,1),(265,1),(267,1),(298,1),(300,1)}
       286:{2,5,7}:{(265,1),(266,1),(268,1),(299,1),(300,1)}
       287:{1,6,7}:{(267,1),(268,1),(300,1)}
       288:{3,4}:{(269,1),(301,1)}
       289:{2,4,5}:{(269,1),(270,1),(273,1),(301,1),(302,1)}
       290:{1,4,6}:{(270,1),(271,1),(274,1),(302,1),(303,1)}
       291:{2,4,7}:{(271,1),(272,1),(275,1),(303,1)}
       292:{2,5,6}:{(273,1),(274,1),(276,1),(302,1),(304,1),(311,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(277,1),(278,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       294:{2,6,7}:{(276,1),(277,1),(304,1)}
       295:{2,4}:{(279,1),(280,1),(305,1)}
       296:{1,3,5}:{(280,1),(281,1),(282,1),(305,1),(306,1)}
       297:{2,3,6}:{(281,1),(283,1),(306,1),(307,1),(309,1)}
       298:{1,4,6}:{(282,1),(283,1),(285,1),(306,1),(308,1)}
       299:{2,4,7}:{(283,1),(284,1),(286,1),(307,1),(308,1),(314,1)}
       300:{1,5,7}:{(285,1),(286,1),(287,1),(308,1)}
       301:{3,5}:{(288,1),(289,1),(309,1)}
       302:{2,4,6}:{(289,1),(290,1),(292,1),(309,1),(310,1)}
       303:{1,4,7}:{(290,1),(291,1),(293,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(310,1),(314,1)}
       305:{2,5}:{(295,1),(296,1),(311,1)}
       306:{1,3,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,7}:{(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       309:{3,6}:{(301,1),(302,1),(313,1)}
       310:{2,4,7}:{(302,1),(303,1),(304,1),(313,1)}
       311:{2,6}:{(305,1),(306,1),(314,1)}
       312:{1,3,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,7}:{(309,1),(310,1)}
       314:{2,7}:{(311,1),(312,1)}

1157 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1158 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1159 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1160 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1161 :   0:{1,2,6,7}:{(3,1),(5,1),(160,1),(246,1),(305,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(80,1),(138,1),(159,1),(160,1),(223,1),(238,1),(305,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(27,1),(33,1),(80,1),(87,1),(139,1),(155,1),(223,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(116,1),(264,1),(341,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(16,1),(48,1),(50,1),(98,1),(116,1),(178,1),(264,1),(266,1),(341,1),(394,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(13,1),(15,1),(117,1),(181,1),(203,1),(280,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(52,1),(123,1),(200,1),(274,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(21,1),(221,1),(249,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(134,1),(162,1),(220,1),(221,1),(238,1),(249,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(148,1),(160,1),(221,1),(318,1),(321,1),(374,1)}
        11:{2,3,5,6}:{(4,1),(20,1),(24,1),(25,1),(31,1),(65,1),(68,1),(70,1),(80,1),(134,1),(148,1),(160,1),(221,1),(238,1),(241,1),(313,1),(321,1),(377,1),(381,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(28,1),(78,1),(371,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(28,1),(30,1),(137,1),(222,1)}
        14:{1,4,6}:{(4,1),(25,1),(27,1),(28,1),(307,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(28,1),(30,1),(81,1),(165,1),(243,1),(312,1)}
        16:{1,3,6}:{(6,1),(7,1),(30,1),(31,1),(313,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(80,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(176,1),(205,1),(290,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(37,1),(38,1),(40,1),(54,1),(92,1),(94,1),(118,1),(176,1),(205,1),(207,1),(290,1),(359,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(37,1),(39,1),(121,1),(177,1),(262,1),(280,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(96,1),(258,1),(274,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(44,1),(105,1),(355,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(44,1),(53,1),(97,1),(106,1),(117,1),(177,1),(280,1),(347,1),(396,1)}
        25:{2,4,6}:{(11,1),(14,1),(38,1),(43,1),(44,1),(45,1),(284,1),(399,1)}
        26:{1,5,7}:{(12,1),(42,1),(48,1),(394,1)}
        27:{1,4,5}:{(14,1),(43,1),(50,1),(178,1),(394,1)}
        28:{1,4,7}:{(13,1),(14,1),(44,1)}
        29:{1,3,4,6}:{(14,1),(16,1),(17,1),(45,1),(50,1),(51,1),(52,1),(116,1)}
        30:{1,3,7}:{(15,1),(16,1),(53,1),(347,1)}
        31:{2,3,6}:{(16,1),(18,1),(52,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(50,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(118,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(61,1),(127,1),(134,1),(162,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(62,1),(132,1),(328,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(62,1),(64,1),(83,1),(161,1)}
        38:{1,4,6}:{(20,1),(25,1),(61,1),(62,1),(251,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(62,1),(64,1),(135,1),(299,1),(312,1),(363,1)}
        40:{1,3,6}:{(22,1),(59,1),(64,1),(65,1),(313,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(71,1),(142,1),(148,1),(374,1),(378,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(68,1),(381,1)}
        43:{2,4,5}:{(25,1),(27,1),(61,1),(70,1),(80,1),(134,1),(381,1),(414,1)}
        44:{2,4,7}:{(24,1),(25,1),(28,1),(62,1),(71,1),(411,1)}
        45:{3,4,6}:{(25,1),(70,1),(71,1),(148,1),(313,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,4,5,6}:{(27,1),(67,1),(76,1),(77,1),(78,1),(220,1),(231,1),(314,1),(327,1),(384,1)}
        48:{1,5,6}:{(26,1),(68,1),(78,1)}
        49:{1,4,5,7}:{(26,1),(27,1),(28,1),(69,1),(78,1),(79,1),(222,1)}
        50:{1,3,5}:{(27,1),(29,1),(70,1),(80,1)}
        51:{1,3,4,7}:{(28,1),(29,1),(30,1),(71,1),(79,1),(81,1)}
        52:{2,4,6}:{(29,1),(31,1),(33,1),(80,1),(81,1),(82,1),(160,1)}
        53:{2,3,7}:{(30,1),(31,1),(81,1),(83,1),(243,1)}
        54:{1,3,6}:{(31,1),(34,1),(82,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(77,1),(85,1),(86,1),(141,1),(154,1),(231,1),(313,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(80,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(92,1),(359,1)}
        61:{1,4,5}:{(38,1),(43,1),(94,1),(118,1),(359,1)}
        62:{1,4,7}:{(37,1),(38,1),(44,1)}
        63:{1,3,4,6}:{(38,1),(40,1),(45,1),(89,1),(94,1),(95,1),(96,1),(176,1)}
        64:{1,3,7}:{(39,1),(40,1),(97,1),(347,1)}
        65:{2,3,6}:{(40,1),(90,1),(96,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(400,1)}
        67:{2,4,5,6}:{(43,1),(47,1),(91,1),(103,1),(104,1),(105,1),(115,1),(175,1),(186,1),(187,1),(274,1),(275,1),(349,1),(354,1),(399,1),(402,1)}
        68:{2,5,6}:{(42,1),(48,1),(92,1),(99,1),(105,1)}
        69:{2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(93,1),(100,1),(105,1),(106,1),(117,1),(177,1)}
        70:{3,5}:{(43,1),(45,1)}
        71:{3,4,7}:{(44,1),(45,1),(106,1),(347,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(52,1),(96,1),(107,1),(108,1),(109,1),(110,1),(168,1),(186,1),(194,1),(198,1),(254,1),(284,1),(286,1),(348,1),(355,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(48,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,5,7}:{(47,1),(103,1),(113,1),(114,1),(262,1),(273,1),(345,1)}
        77:{1,3,5,6}:{(47,1),(50,1),(55,1),(104,1),(114,1),(115,1),(116,1),(293,1),(360,1)}
        78:{1,4,6}:{(48,1),(49,1),(105,1),(116,1),(264,1)}
        79:{1,3,5,7}:{(49,1),(50,1),(51,1),(106,1),(116,1),(117,1)}
        80:{2,5}:{(50,1),(52,1),(118,1)}
        81:{2,4,7}:{(51,1),(52,1),(53,1),(117,1),(119,1)}
        82:{1,4,6}:{(52,1),(54,1),(57,1),(118,1),(119,1),(205,1)}
        83:{1,3,7}:{(53,1),(54,1),(119,1),(121,1)}
        84:{1,2,6}:{(54,1),(58,1),(121,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(114,1),(122,1),(185,1),(199,1),(273,1),(347,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(115,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(118,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(134,1),(297,1),(298,1)}
        91:{1,4,5,6}:{(61,1),(67,1),(130,1),(131,1),(132,1),(159,1),(231,1),(314,1),(370,1),(410,1)}
        92:{1,5,6}:{(60,1),(68,1),(132,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(62,1),(69,1),(132,1),(133,1),(161,1)}
        94:{1,3,5}:{(61,1),(63,1),(70,1),(134,1)}
        95:{1,3,4,7}:{(62,1),(63,1),(64,1),(71,1),(133,1),(135,1)}
        96:{2,4,6}:{(63,1),(65,1),(127,1),(134,1),(135,1),(136,1),(221,1)}
        97:{2,3,7}:{(64,1),(65,1),(135,1),(137,1),(363,1)}
        98:{1,3,6}:{(65,1),(128,1),(136,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(68,1),(142,1),(148,1)}
       100:{4,5,7}:{(66,1),(142,1),(411,1),(414,1)}
       101:{3,4,5}:{(70,1),(141,1),(144,1),(317,1),(376,1),(414,1)}
       102:{2,5,6,7}:{(68,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,5,7}:{(67,1),(76,1),(130,1),(145,1),(146,1),(158,1),(219,1),(228,1),(230,1),(310,1),(312,1),(373,1),(411,1)}
       104:{3,5,6}:{(67,1),(70,1),(141,1),(146,1),(148,1),(313,1),(376,1),(413,1)}
       105:{2,4,6}:{(68,1),(69,1),(78,1),(132,1),(142,1),(148,1),(160,1),(221,1)}
       106:{3,5,7}:{(69,1),(70,1),(71,1),(148,1)}
       107:{2,3,5}:{(70,1),(72,1),(80,1),(134,1),(144,1),(150,1),(324,1),(376,1),(381,1),(407,1)}
       108:{2,3,4,7}:{(71,1),(72,1),(81,1),(135,1),(149,1),(151,1),(153,1),(230,1),(242,1),(295,1),(322,1),(323,1),(375,1),(406,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(82,1),(136,1),(150,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(231,1),(239,1),(251,1),(296,1),(307,1),(309,1),(313,1),(317,1),(328,1),(371,1),(378,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(313,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(78,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,5,7}:{(76,1),(77,1),(85,1),(146,1),(157,1),(158,1)}
       115:{2,5,6}:{(77,1),(80,1),(86,1),(158,1),(159,1),(160,1),(324,1),(382,1)}
       116:{1,3,6}:{(78,1),(79,1),(148,1),(160,1)}
       117:{2,5,7}:{(79,1),(80,1),(81,1),(160,1),(161,1)}
       118:{1,5}:{(80,1),(82,1)}
       119:{1,4,7}:{(81,1),(82,1),(83,1),(161,1)}
       120:{1,2,4,6}:{(82,1),(84,1),(88,1),(152,1),(162,1),(163,1),(164,1),(249,1),(251,1),(294,1),(328,1),(361,1),(405,1)}
       121:{1,2,7}:{(83,1),(84,1),(243,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(158,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(159,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(162,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(327,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(94,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(178,1),(260,1)}
       129:{1,5,6,7}:{(92,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,5,7}:{(91,1),(103,1),(173,1),(174,1),(203,1),(273,1),(345,1)}
       131:{1,3,5,6}:{(91,1),(94,1),(104,1),(169,1),(174,1),(175,1),(176,1),(391,1),(419,1)}
       132:{1,4,6}:{(92,1),(93,1),(105,1),(176,1),(205,1)}
       133:{1,3,5,7}:{(93,1),(94,1),(95,1),(106,1),(176,1),(177,1)}
       134:{2,5}:{(94,1),(96,1),(178,1)}
       135:{2,4,7}:{(95,1),(96,1),(97,1),(177,1),(179,1)}
       136:{1,4,6}:{(96,1),(98,1),(171,1),(178,1),(179,1),(264,1)}
       137:{1,3,7}:{(97,1),(98,1),(179,1),(181,1)}
       138:{1,2,6}:{(98,1),(172,1),(181,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(184,1),(191,1),(271,1),(396,1),(422,1)}
       141:{3,4,6}:{(101,1),(104,1),(185,1),(186,1),(399,1)}
       142:{4,6}:{(99,1),(100,1)}
       143:{3,4,5,7}:{(100,1),(101,1),(106,1),(185,1),(188,1),(189,1),(271,1),(351,1),(398,1),(400,1),(421,1)}
       144:{2,4,5}:{(101,1),(107,1),(186,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(105,1),(113,1),(173,1),(184,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,5,7}:{(103,1),(104,1),(185,1),(191,1),(347,1)}
       147:{2,3,5,6}:{(104,1),(107,1),(110,1),(115,1),(175,1),(186,1),(192,1),(193,1),(194,1),(254,1),(275,1)}
       148:{3,6}:{(105,1),(106,1)}
       149:{2,3,5,7}:{(106,1),(107,1),(108,1),(117,1),(177,1),(189,1),(194,1),(195,1),(356,1),(398,1),(418,1)}
       150:{1,3,5}:{(107,1),(109,1),(118,1),(178,1),(190,1),(196,1),(278,1),(344,1),(359,1),(394,1),(400,1),(417,1)}
       151:{1,3,4,7}:{(108,1),(109,1),(119,1),(179,1),(195,1),(197,1),(199,1),(208,1),(267,1),(273,1),(291,1),(332,1),(342,1),(343,1),(347,1),(351,1),(416,1)}
       152:{2,4,6}:{(109,1),(112,1),(196,1),(197,1),(198,1),(200,1),(256,1),(282,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(347,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(116,1),(191,1),(202,1),(360,1)}
       158:{2,5,7}:{(114,1),(115,1),(122,1),(202,1),(203,1)}
       159:{1,5,6}:{(115,1),(118,1),(123,1),(203,1),(205,1),(344,1),(395,1)}
       160:{2,6}:{(116,1),(117,1),(205,1)}
       161:{1,5,7}:{(117,1),(118,1),(119,1),(205,1)}
       162:{1,2,5}:{(118,1),(120,1),(196,1),(207,1),(359,1),(417,1)}
       163:{1,2,4,7}:{(119,1),(120,1),(121,1),(197,1),(206,1),(208,1),(291,1),(385,1),(416,1)}
       164:{1,3,6}:{(120,1),(125,1),(198,1),(207,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(204,1),(209,1),(210,1),(274,1),(286,1),(289,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(131,1),(141,1),(214,1),(215,1),(231,1),(296,1),(313,1)}
       170:{2,4,5}:{(126,1),(127,1),(134,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(132,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,5,7}:{(130,1),(131,1),(146,1),(214,1),(218,1),(219,1)}
       175:{2,5,6}:{(131,1),(134,1),(215,1),(219,1),(220,1),(221,1),(407,1),(424,1)}
       176:{1,3,6}:{(132,1),(133,1),(148,1),(221,1)}
       177:{2,5,7}:{(133,1),(134,1),(135,1),(221,1),(222,1)}
       178:{1,5}:{(134,1),(136,1)}
       179:{1,4,7}:{(135,1),(136,1),(137,1),(222,1)}
       180:{1,2,4,6}:{(136,1),(138,1),(139,1),(152,1),(217,1),(223,1),(224,1),(225,1),(226,1),(305,1),(307,1),(309,1),(371,1)}
       181:{1,2,7}:{(137,1),(138,1),(363,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,6,7}:{(140,1),(142,1),(228,1),(411,1),(425,1)}
       185:{3,4,7}:{(141,1),(146,1),(230,1),(411,1)}
       186:{2,4,6}:{(141,1),(144,1),(147,1),(230,1),(231,1)}
       187:{4,5,6}:{(142,1),(228,1),(232,1),(414,1),(425,1)}
       188:{3,4,6}:{(142,1),(143,1),(148,1),(232,1),(233,1),(413,1),(425,1)}
       189:{2,4,5,7}:{(143,1),(144,1),(149,1),(230,1),(233,1),(234,1),(310,1),(322,1),(381,1)}
       190:{1,4,5}:{(144,1),(150,1),(231,1),(235,1),(251,1),(307,1),(414,1)}
       191:{3,6,7}:{(145,1),(146,1),(148,1),(413,1)}
       192:{2,3,5,7}:{(146,1),(147,1),(153,1),(158,1),(219,1),(230,1),(236,1),(237,1),(295,1),(310,1)}
       193:{1,3,5,6}:{(147,1),(150,1),(154,1),(159,1),(220,1),(231,1),(237,1),(238,1),(239,1),(296,1),(313,1),(314,1),(377,1)}
       194:{2,3,6}:{(148,1),(149,1),(160,1),(221,1),(233,1),(239,1),(382,1),(413,1),(424,1)}
       195:{1,3,5,7}:{(149,1),(150,1),(151,1),(161,1),(222,1),(234,1),(239,1),(240,1),(316,1),(372,1),(423,1)}
       196:{2,5}:{(150,1),(152,1)}
       197:{2,4,7}:{(151,1),(152,1),(240,1),(242,1),(243,1),(363,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(241,1),(242,1),(298,1),(313,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(160,1),(246,1),(382,1)}
       203:{1,5,7}:{(158,1),(159,1),(165,1),(246,1)}
       204:{1,2,5,6}:{(159,1),(162,1),(166,1),(238,1),(247,1),(248,1),(249,1),(324,1),(361,1),(382,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(163,1),(240,1),(249,1),(250,1),(423,1)}
       207:{1,3,5}:{(162,1),(164,1),(241,1),(251,1)}
       208:{1,3,7}:{(163,1),(164,1),(242,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(247,1),(252,1),(312,1),(323,1),(326,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(313,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(174,1),(185,1),(257,1),(273,1),(332,1),(347,1)}
       215:{2,4,6}:{(169,1),(170,1),(175,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(178,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(176,1),(191,1),(261,1),(419,1)}
       219:{2,5,7}:{(174,1),(175,1),(257,1),(261,1),(262,1)}
       220:{1,5,6}:{(175,1),(178,1),(258,1),(262,1),(264,1),(417,1),(426,1)}
       221:{2,6}:{(176,1),(177,1),(264,1)}
       222:{1,5,7}:{(177,1),(178,1),(179,1),(264,1)}
       223:{1,2,5}:{(178,1),(180,1),(196,1),(266,1),(344,1),(394,1)}
       224:{1,2,4,7}:{(179,1),(180,1),(181,1),(197,1),(265,1),(267,1),(268,1),(342,1),(343,1)}
       225:{1,3,6}:{(180,1),(183,1),(198,1),(260,1),(266,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(187,1),(271,1)}
       229:{3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(271,1),(272,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(273,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(273,1),(274,1),(399,1)}
       232:{3,5,6}:{(187,1),(188,1),(271,1),(275,1),(400,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(275,1),(276,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(273,1),(276,1),(277,1),(291,1),(342,1),(345,1),(359,1),(394,1)}
       235:{2,4,5}:{(190,1),(196,1),(274,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(202,1),(261,1),(272,1),(279,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(199,1),(203,1),(262,1),(273,1),(279,1),(280,1),(332,1),(345,1),(347,1),(396,1)}
       238:{2,5,6}:{(193,1),(196,1),(200,1),(274,1),(280,1),(282,1),(333,1)}
       239:{1,3,6}:{(194,1),(195,1),(205,1),(264,1),(276,1),(282,1),(350,1),(395,1),(426,1)}
       240:{2,5,7}:{(195,1),(196,1),(197,1),(282,1)}
       241:{2,3,5}:{(196,1),(198,1),(207,1),(266,1),(278,1),(284,1)}
       242:{2,3,7}:{(197,1),(198,1),(208,1),(267,1),(347,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(205,1),(395,1)}
       247:{1,2,5,7}:{(203,1),(204,1),(209,1),(280,1),(287,1),(288,1),(356,1),(385,1)}
       248:{1,3,5,6}:{(204,1),(207,1),(210,1),(281,1),(288,1),(289,1),(290,1),(293,1),(359,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       249:{1,2,6}:{(205,1),(206,1),(282,1),(290,1),(426,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(208,1),(283,1),(290,1),(291,1),(359,1)}
       251:{1,4}:{(207,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(347,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(289,1),(292,1),(293,1),(348,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(313,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(219,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(220,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(223,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(370,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(221,1),(302,1),(424,1)}
       262:{1,5,7}:{(219,1),(220,1),(299,1),(302,1)}
       263:{1,2,5,6}:{(220,1),(223,1),(226,1),(238,1),(300,1),(303,1),(304,1),(305,1),(407,1),(424,1)}
       264:{1,6}:{(221,1),(222,1)}
       265:{1,2,5,7}:{(222,1),(223,1),(224,1),(240,1),(305,1),(306,1),(372,1)}
       266:{1,3,5}:{(223,1),(225,1),(241,1),(307,1)}
       267:{1,3,7}:{(224,1),(225,1),(242,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(232,1),(310,1)}
       272:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(310,1),(311,1)}
       273:{1,4,7}:{(230,1),(231,1),(237,1),(312,1),(411,1)}
       274:{2,4,6}:{(231,1),(235,1),(238,1),(312,1),(313,1)}
       275:{2,5,6}:{(232,1),(233,1),(310,1),(314,1),(381,1)}
       276:{1,4,6}:{(233,1),(234,1),(239,1),(314,1),(315,1)}
       277:{2,4,5,7}:{(234,1),(235,1),(240,1),(312,1),(315,1),(316,1),(322,1),(373,1),(381,1),(411,1),(414,1)}
       278:{3,5}:{(235,1),(313,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(239,1),(246,1),(302,1),(311,1),(318,1),(374,1)}
       280:{2,5,7}:{(237,1),(238,1),(243,1),(312,1),(318,1),(363,1)}
       281:{2,3,5,6}:{(238,1),(241,1),(244,1),(248,1),(304,1),(313,1),(319,1),(320,1),(321,1),(324,1),(364,1),(376,1),(377,1),(381,1),(382,1),(407,1),(413,1),(415,1),(424,1)}
       282:{2,6}:{(239,1),(240,1)}
       283:{2,3,5,7}:{(240,1),(241,1),(242,1),(250,1),(306,1),(316,1),(321,1),(322,1),(381,1)}
       284:{2,4}:{(241,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,5,7}:{(247,1),(248,1),(252,1),(319,1),(325,1),(326,1),(383,1),(404,1),(423,1)}
       289:{1,4,6}:{(248,1),(251,1),(320,1),(326,1),(327,1)}
       290:{1,3,6}:{(249,1),(250,1),(321,1),(328,1)}
       291:{1,4,7}:{(250,1),(251,1),(322,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(326,1),(329,1),(375,1)}
       293:{1,3,5}:{(253,1),(324,1),(327,1),(376,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(347,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(262,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(263,1),(274,1),(333,1),(335,1),(336,1),(340,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(264,1),(426,1)}
       303:{1,2,5,7}:{(262,1),(263,1),(268,1),(280,1),(335,1),(338,1),(339,1),(418,1)}
       304:{1,3,5,6}:{(263,1),(266,1),(269,1),(281,1),(336,1),(339,1),(340,1),(341,1),(344,1),(391,1),(394,1),(395,1),(419,1),(420,1)}
       305:{1,2,6}:{(264,1),(265,1),(282,1),(341,1),(395,1)}
       306:{1,3,5,7}:{(265,1),(266,1),(267,1),(283,1),(341,1),(342,1),(394,1)}
       307:{1,4}:{(266,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(275,1),(345,1)}
       311:{1,4,6,7}:{(272,1),(273,1),(276,1),(279,1),(345,1),(346,1)}
       312:{2,4,7}:{(273,1),(274,1),(280,1),(347,1)}
       313:{3,6}:{(274,1),(278,1),(347,1)}
       314:{1,5,6}:{(275,1),(276,1),(345,1),(349,1),(359,1),(394,1)}
       315:{2,4,6}:{(276,1),(277,1),(282,1),(349,1),(350,1),(399,1)}
       316:{3,5,7}:{(277,1),(278,1),(347,1),(350,1),(351,1),(400,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,5,7}:{(280,1),(281,1),(285,1),(288,1),(339,1),(347,1),(352,1),(353,1),(356,1),(388,1),(396,1),(398,1),(401,1),(418,1)}
       320:{2,4,6}:{(281,1),(284,1),(289,1),(340,1),(348,1),(353,1),(354,1),(399,1)}
       321:{2,3,6}:{(282,1),(283,1),(290,1),(341,1),(350,1),(355,1)}
       322:{2,4,7}:{(283,1),(284,1),(291,1),(342,1),(351,1),(355,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,7}:{(288,1),(289,1),(353,1)}
       327:{1,4,5}:{(289,1),(293,1),(354,1),(359,1),(417,1)}
       328:{1,4,6}:{(290,1),(291,1),(355,1),(359,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(358,1),(360,1),(398,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(303,1),(312,1),(363,1),(366,1),(369,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(313,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,5,7}:{(303,1),(304,1),(308,1),(319,1),(366,1),(368,1),(369,1),(372,1),(409,1)}
       340:{1,4,6}:{(304,1),(307,1),(320,1),(369,1),(370,1)}
       341:{1,3,6}:{(305,1),(306,1),(321,1),(371,1)}
       342:{1,4,7}:{(306,1),(307,1),(322,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(314,1),(373,1)}
       346:{2,4,6,7}:{(311,1),(312,1),(315,1),(318,1),(373,1),(374,1),(411,1)}
       347:{3,7}:{(312,1),(313,1)}
       348:{3,4,6}:{(313,1),(317,1),(320,1),(375,1),(376,1),(413,1)}
       349:{2,5,6}:{(314,1),(315,1),(373,1),(377,1),(381,1)}
       350:{3,6}:{(315,1),(316,1)}
       351:{3,4,7}:{(316,1),(317,1),(322,1),(378,1),(411,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(374,1),(379,1),(382,1),(413,1),(424,1)}
       353:{2,4,7}:{(319,1),(320,1),(326,1),(369,1),(375,1),(411,1)}
       354:{2,4,5}:{(320,1),(324,1),(327,1),(370,1),(376,1),(381,1),(407,1),(414,1)}
       355:{2,4,6}:{(321,1),(322,1),(328,1),(371,1),(378,1),(381,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(328,1),(379,1),(383,1),(384,1)}
       358:{1,4,5,7}:{(326,1),(327,1),(329,1),(380,1),(383,1),(384,1),(423,1)}
       359:{1,5}:{(328,1),(381,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(413,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(347,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(340,1),(348,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,7}:{(339,1),(340,1),(353,1)}
       370:{1,4,5}:{(340,1),(344,1),(354,1),(391,1),(394,1)}
       371:{1,4,6}:{(341,1),(342,1),(355,1),(394,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(349,1),(396,1)}
       374:{3,6,7}:{(346,1),(347,1),(350,1),(396,1)}
       375:{3,4,7}:{(347,1),(348,1),(353,1),(398,1)}
       376:{3,5}:{(348,1),(354,1)}
       377:{3,5,6}:{(349,1),(350,1),(396,1),(399,1),(400,1)}
       378:{3,4,6}:{(350,1),(351,1),(355,1),(399,1),(400,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(355,1),(357,1),(392,1),(397,1),(401,1),(402,1)}
       380:{2,4,5,7}:{(353,1),(354,1),(356,1),(358,1),(393,1),(398,1),(401,1),(402,1),(418,1),(421,1)}
       381:{2,5}:{(355,1),(359,1),(394,1),(400,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(359,1),(401,1),(403,1)}
       384:{1,4,6}:{(358,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(369,1),(375,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(370,1),(376,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(371,1),(379,1),(409,1),(410,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(380,1),(408,1),(409,1),(410,1)}
       394:{1,5}:{(371,1),(381,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(377,1),(411,1)}
       397:{3,4,6,7}:{(374,1),(375,1),(378,1),(379,1),(411,1),(412,1),(413,1),(425,1)}
       398:{3,5,7}:{(375,1),(376,1),(380,1),(413,1)}
       399:{4,6}:{(377,1),(411,1),(414,1)}
       400:{3,5}:{(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(381,1),(383,1),(409,1),(412,1),(415,1)}
       402:{2,4,6}:{(380,1),(382,1),(384,1),(410,1),(413,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(393,1),(398,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(394,1),(401,1),(420,1)}
       410:{1,4,6}:{(393,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(399,1)}
       412:{3,5,7}:{(397,1),(400,1),(401,1),(421,1),(422,1)}
       413:{3,6}:{(398,1),(402,1)}
       414:{4,5}:{(399,1),(400,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(413,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(414,1),(425,1)}
       422:{3,5,6}:{(412,1),(413,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

1162 :   0:{1,4,5,6,7}:{(1,1),(2,1),(28,1),(32,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(16,1),(18,1),(51,1),(106,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(114,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(13,1),(32,1),(130,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(75,1),(140,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(32,1),(36,1),(75,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(150,1)}
         7:{1,3,4,5,6}:{(11,1),(14,1),(29,1),(40,1),(70,1),(88,1),(133,1),(151,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(166,1)}
         9:{3,4,6,7}:{(4,1),(17,1),(18,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(18,1),(19,1),(21,1),(44,1),(48,1)}
        11:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(20,1),(49,1),(55,1),(102,1),(111,1),(114,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(57,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(188,1)}
        14:{2,4,5,6}:{(7,1),(20,1),(24,1),(25,1),(61,1),(119,1),(189,1)}
        15:{1,3,4,6,7}:{(8,1),(9,1),(26,1),(27,1),(32,1),(66,1),(75,1)}
        16:{2,5,6,7}:{(8,1),(27,1),(28,1),(205,1)}
        17:{3,4,5,7}:{(9,1),(29,1),(30,1),(140,1),(280,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(30,1),(32,1)}
        19:{1,3,5,6,7}:{(10,1),(13,1),(28,1),(32,1),(33,1),(36,1),(66,1),(72,1),(75,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(14,1),(34,1),(35,1),(79,1),(147,1),(150,1)}
        21:{2,3,6,7}:{(12,1),(34,1),(36,1),(75,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(35,1),(36,1)}
        23:{1,2,5,6,7}:{(13,1),(33,1),(37,1),(38,1),(127,1),(135,1),(150,1),(228,1),(283,1)}
        24:{2,3,5,6}:{(14,1),(34,1),(39,1),(40,1),(133,1)}
        25:{1,4,5,6}:{(14,1),(35,1),(40,1),(154,1),(228,1)}
        26:{1,3,4,5,7}:{(15,1),(17,1),(42,1),(43,1),(49,1),(92,1),(102,1),(163,1),(166,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(45,1),(94,1)}
        28:{1,5,6,7}:{(16,1),(45,1),(242,1)}
        29:{3,4,5,6}:{(17,1),(47,1),(180,1),(298,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(49,1),(251,1)}
        31:{2,3,4,6,7}:{(18,1),(21,1),(44,1),(48,1),(50,1),(54,1),(91,1),(97,1),(105,1),(113,1),(165,1),(177,1),(251,1)}
        32:{1,4,6,7}:{(18,1),(19,1),(49,1),(51,1)}
        33:{2,5,6,7}:{(19,1),(51,1),(57,1),(94,1),(101,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(24,1),(54,1),(55,1),(102,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(25,1),(55,1),(185,1),(188,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(55,1),(57,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(51,1),(56,1),(57,1),(58,1),(59,1),(113,1),(260,1),(301,1),(302,1)}
        38:{1,3,5,6,7}:{(23,1),(52,1),(58,1),(59,1),(114,1),(164,1),(174,1),(242,1),(255,1)}
        39:{2,3,4,6}:{(24,1),(53,1),(54,1),(60,1),(119,1),(171,1),(190,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(55,1),(60,1),(61,1)}
        41:{1,2,4,5,6}:{(25,1),(56,1),(61,1),(62,1),(99,1),(115,1),(116,1),(119,1),(169,1),(189,1),(193,1),(247,1),(260,1),(261,1),(299,1),(301,1),(302,1)}
        42:{1,3,4,5,6}:{(26,1),(29,1),(63,1),(70,1),(122,1),(133,1),(198,1),(206,1)}
        43:{2,4,5,7}:{(26,1),(27,1),(63,1),(64,1),(65,1),(125,1),(202,1),(205,1)}
        44:{2,3,6,7}:{(27,1),(64,1),(66,1),(75,1)}
        45:{1,4,6,7}:{(27,1),(28,1),(65,1),(66,1)}
        46:{1,2,5,6,7}:{(28,1),(33,1),(67,1),(68,1),(81,1),(135,1),(205,1),(273,1),(283,1)}
        47:{2,4,5,6}:{(29,1),(30,1),(69,1),(70,1),(277,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(69,1),(72,1),(140,1),(150,1),(205,1)}
        49:{1,4,5,7}:{(30,1),(32,1),(70,1),(72,1),(73,1),(215,1)}
        50:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(66,1),(72,1),(74,1),(75,1),(78,1),(124,1),(131,1),(137,1),(138,1),(149,1),(204,1),(215,1)}
        51:{2,4,6,7}:{(32,1),(33,1),(73,1),(75,1)}
        52:{2,3,5,6,7}:{(33,1),(38,1),(68,1),(75,1),(76,1),(82,1),(128,1),(136,1),(140,1),(150,1),(205,1),(214,1),(220,1),(283,1),(311,1)}
        53:{2,3,4,5}:{(39,1),(77,1),(155,1),(211,1),(221,1)}
        54:{2,3,4,7}:{(34,1),(39,1),(78,1),(137,1),(147,1),(223,1)}
        55:{1,3,5,7}:{(34,1),(35,1),(36,1),(40,1),(78,1),(79,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(41,1),(73,1),(79,1),(80,1),(84,1),(135,1),(144,1),(147,1),(150,1),(215,1),(226,1),(281,1),(284,1)}
        57:{2,6,7}:{(36,1),(79,1)}
        58:{1,3,6,7}:{(37,1),(75,1),(80,1),(82,1),(285,1),(311,1)}
        59:{1,4,6,7}:{(38,1),(76,1),(84,1),(215,1),(282,1)}
        60:{1,3,4,6}:{(39,1),(40,1),(77,1),(78,1),(85,1),(152,1),(154,1)}
        61:{2,5,6}:{(40,1),(79,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(80,1),(87,1),(88,1),(133,1),(152,1),(230,1),(285,1),(310,1),(311,1)}
        63:{2,4,5,6}:{(42,1),(43,1),(89,1),(90,1),(158,1),(235,1),(243,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(89,1),(91,1),(92,1),(102,1)}
        65:{1,4,5,7}:{(43,1),(45,1),(90,1),(92,1),(239,1),(242,1)}
        66:{1,3,6,7}:{(44,1),(45,1),(92,1),(94,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(51,1),(93,1),(94,1),(95,1),(96,1),(165,1),(295,1),(301,1),(314,1)}
        68:{1,3,5,6,7}:{(46,1),(52,1),(95,1),(96,1),(112,1),(166,1),(174,1),(188,1),(255,1)}
        69:{2,3,5,6}:{(47,1),(48,1),(97,1),(98,1),(180,1),(189,1),(243,1)}
        70:{1,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(247,1)}
        71:{2,3,4,5,7}:{(48,1),(53,1),(54,1),(91,1),(97,1),(100,1),(156,1),(176,1),(186,1),(240,1),(249,1),(251,1),(299,1),(300,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(50,1),(98,1),(101,1),(102,1),(188,1),(242,1)}
        73:{2,4,5,7}:{(49,1),(51,1),(99,1),(101,1),(102,1),(175,1)}
        74:{2,4,6,7}:{(50,1),(57,1),(94,1),(101,1),(104,1),(108,1),(160,1),(168,1),(175,1)}
        75:{3,6,7}:{(51,1),(102,1)}
        76:{2,4,6,7}:{(52,1),(59,1),(96,1),(105,1),(106,1),(175,1),(251,1),(253,1),(301,1)}
        77:{1,3,4,5}:{(53,1),(60,1),(107,1),(181,1),(193,1)}
        78:{1,3,4,7}:{(54,1),(55,1),(60,1),(108,1),(183,1),(185,1)}
        79:{2,5,7}:{(55,1),(57,1),(61,1),(108,1)}
        80:{1,3,5,7}:{(56,1),(58,1),(62,1),(102,1),(110,1),(111,1),(183,1),(300,1)}
        81:{1,2,6,7}:{(57,1),(109,1),(112,1),(302,1)}
        82:{2,3,6,7}:{(57,1),(58,1),(110,1),(112,1),(113,1),(259,1),(302,1)}
        83:{1,3,4,6,7}:{(58,1),(59,1),(105,1),(111,1),(113,1),(114,1),(187,1)}
        84:{1,4,5,7}:{(59,1),(106,1),(114,1),(115,1),(242,1)}
        85:{2,4,6}:{(60,1),(61,1),(107,1),(108,1),(117,1)}
        86:{1,2,5,6}:{(61,1),(109,1),(116,1),(118,1),(261,1),(302,1)}
        87:{2,3,5,6}:{(61,1),(62,1),(110,1),(117,1),(118,1),(119,1),(189,1),(190,1),(192,1),(259,1),(261,1),(302,1)}
        88:{1,3,4,6}:{(62,1),(111,1),(119,1),(120,1),(171,1),(247,1),(298,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(121,1),(122,1),(133,1)}
        90:{1,4,5,6}:{(63,1),(65,1),(122,1),(266,1),(273,1)}
        91:{2,3,4,7}:{(64,1),(121,1),(124,1),(137,1),(202,1),(268,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(66,1),(122,1),(124,1),(125,1)}
        93:{1,2,4,5,7}:{(65,1),(67,1),(73,1),(123,1),(125,1),(126,1),(130,1),(135,1),(199,1),(202,1),(205,1),(215,1),(271,1),(281,1),(307,1)}
        94:{2,6,7}:{(66,1),(125,1)}
        95:{1,3,6,7}:{(67,1),(75,1),(126,1),(128,1),(308,1),(311,1)}
        96:{1,4,6,7}:{(68,1),(76,1),(130,1),(215,1),(282,1)}
        97:{2,3,4,6}:{(69,1),(71,1),(131,1),(217,1),(227,1),(272,1),(274,1),(277,1),(311,1)}
        98:{1,3,5,6}:{(69,1),(70,1),(72,1),(131,1),(132,1),(133,1),(228,1),(273,1)}
        99:{2,4,5,6}:{(70,1),(73,1),(132,1),(133,1),(210,1)}
       100:{1,3,4,5,7}:{(71,1),(72,1),(77,1),(78,1),(124,1),(131,1),(134,1),(137,1),(194,1),(211,1),(212,1),(215,1),(226,1),(271,1),(278,1)}
       101:{2,5,7}:{(72,1),(74,1),(132,1)}
       102:{3,5,7}:{(73,1),(75,1),(133,1),(137,1)}
       103:{1,2,4,6,7}:{(74,1),(81,1),(127,1),(135,1),(138,1),(144,1),(149,1),(199,1),(204,1),(207,1),(215,1),(218,1)}
       104:{2,3,6,7}:{(74,1),(75,1),(136,1),(138,1),(145,1),(200,1),(208,1)}
       105:{3,4,6,7}:{(75,1),(76,1),(137,1),(140,1),(217,1),(280,1),(311,1)}
       106:{2,4,5,7}:{(76,1),(84,1),(130,1),(140,1),(141,1),(150,1),(205,1)}
       107:{2,4,5}:{(77,1),(85,1),(143,1)}
       108:{2,4,7}:{(78,1),(79,1),(85,1),(145,1)}
       109:{1,2,5,7}:{(79,1),(81,1),(86,1),(144,1),(146,1),(284,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(82,1),(87,1),(145,1),(146,1),(147,1),(150,1),(223,1),(284,1)}
       111:{1,3,4,7}:{(80,1),(88,1),(137,1),(147,1),(215,1),(280,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(146,1),(149,1),(285,1)}
       113:{2,4,6,7}:{(82,1),(83,1),(147,1),(149,1),(150,1),(227,1)}
       114:{1,3,5,7}:{(83,1),(84,1),(140,1),(150,1),(151,1)}
       115:{1,4,5,6}:{(84,1),(141,1),(151,1),(273,1),(282,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(142,1),(144,1),(152,1),(154,1),(229,1)}
       117:{2,3,6}:{(85,1),(143,1),(145,1),(152,1)}
       118:{1,3,5,6}:{(86,1),(87,1),(146,1),(152,1),(154,1),(228,1),(230,1),(285,1)}
       119:{2,4,6}:{(87,1),(88,1),(147,1),(154,1),(155,1)}
       120:{1,3,4,5}:{(88,1),(155,1),(211,1),(230,1),(278,1),(310,1)}
       121:{2,3,4,6}:{(89,1),(91,1),(156,1),(157,1),(171,1),(235,1),(288,1)}
       122:{1,3,5,6}:{(89,1),(90,1),(92,1),(157,1),(158,1)}
       123:{1,2,4,5,6}:{(90,1),(93,1),(99,1),(158,1),(159,1),(167,1),(169,1),(232,1),(235,1),(243,1),(247,1),(291,1),(295,1),(299,1),(301,1),(313,1),(314,1)}
       124:{1,3,4,7}:{(91,1),(92,1),(157,1),(160,1),(237,1),(239,1)}
       125:{2,5,7}:{(92,1),(94,1),(158,1),(160,1)}
       126:{1,3,5,7}:{(93,1),(95,1),(102,1),(159,1),(162,1),(163,1),(237,1),(300,1)}
       127:{1,2,6,7}:{(94,1),(161,1),(164,1),(314,1)}
       128:{2,3,6,7}:{(94,1),(95,1),(162,1),(164,1),(165,1),(294,1),(314,1)}
       129:{1,3,4,6,7}:{(95,1),(96,1),(105,1),(163,1),(165,1),(166,1),(241,1)}
       130:{1,4,5,7}:{(96,1),(106,1),(166,1),(167,1),(188,1)}
       131:{1,3,4,6}:{(97,1),(98,1),(100,1),(168,1),(171,1),(244,1),(247,1),(260,1),(295,1)}
       132:{2,5,6}:{(98,1),(101,1),(168,1)}
       133:{3,5,6}:{(99,1),(102,1),(171,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(107,1),(108,1),(160,1),(168,1),(173,1),(175,1),(231,1),(248,1)}
       135:{1,2,5,7}:{(101,1),(103,1),(169,1),(174,1),(188,1),(242,1),(254,1)}
       136:{2,3,5,7}:{(101,1),(102,1),(104,1),(170,1),(174,1),(175,1)}
       137:{3,4,7}:{(102,1),(171,1),(175,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(174,1),(177,1),(183,1),(237,1),(244,1)}
       139:{2,3,4,6,7}:{(104,1),(105,1),(113,1),(165,1),(175,1),(178,1),(179,1),(184,1),(238,1),(245,1),(253,1),(259,1),(294,1)}
       140:{3,5,7}:{(105,1),(106,1),(180,1)}
       141:{2,4,5,6}:{(106,1),(115,1),(167,1),(180,1),(189,1),(243,1),(253,1),(301,1)}
       142:{1,2,4,5}:{(107,1),(116,1),(181,1),(193,1),(256,1),(261,1)}
       143:{2,3,5}:{(107,1),(117,1),(181,1),(182,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(116,1),(183,1),(185,1),(257,1)}
       145:{2,3,7}:{(108,1),(117,1),(183,1)}
       146:{1,3,5,7}:{(109,1),(110,1),(112,1),(118,1),(183,1),(185,1),(188,1)}
       147:{2,4,7}:{(110,1),(111,1),(119,1),(185,1)}
       148:{1,3,4,5,7}:{(111,1),(114,1),(120,1),(176,1),(186,1),(187,1),(252,1),(258,1),(300,1)}
       149:{1,4,6,7}:{(112,1),(113,1),(185,1),(188,1),(260,1)}
       150:{2,5,7}:{(113,1),(114,1),(188,1),(189,1)}
       151:{1,3,5,6}:{(114,1),(115,1),(180,1),(187,1),(189,1)}
       152:{1,3,6}:{(116,1),(117,1),(181,1),(183,1),(190,1)}
       153:{2,3,4,6}:{(117,1),(119,1),(182,1),(184,1),(191,1),(192,1),(259,1),(298,1)}
       154:{1,4,6}:{(118,1),(119,1),(185,1),(193,1)}
       155:{2,4,5}:{(119,1),(120,1),(192,1),(193,1),(261,1)}
       156:{2,3,4,5}:{(121,1),(194,1),(211,1),(267,1),(303,1)}
       157:{1,3,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(264,1),(266,1)}
       158:{2,5,6}:{(122,1),(125,1),(195,1)}
       159:{1,3,5,6}:{(123,1),(126,1),(133,1),(197,1),(198,1),(264,1),(306,1),(308,1),(310,1),(311,1)}
       160:{2,4,7}:{(124,1),(125,1),(195,1),(200,1)}
       161:{1,2,5,7}:{(125,1),(127,1),(196,1),(199,1),(201,1),(307,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(128,1),(197,1),(200,1),(201,1),(202,1),(205,1),(268,1),(307,1)}
       163:{1,3,4,7}:{(126,1),(137,1),(198,1),(202,1),(215,1),(280,1)}
       164:{1,3,6,7}:{(127,1),(128,1),(201,1),(204,1),(308,1)}
       165:{2,4,6,7}:{(128,1),(129,1),(202,1),(204,1),(205,1),(272,1)}
       166:{1,3,5,7}:{(129,1),(130,1),(140,1),(205,1),(206,1)}
       167:{1,4,5,6}:{(130,1),(141,1),(206,1),(228,1),(282,1)}
       168:{2,4,6}:{(131,1),(132,1),(134,1),(208,1)}
       169:{1,2,5,6}:{(132,1),(135,1),(207,1),(209,1),(228,1),(273,1),(283,1),(309,1)}
       170:{2,3,5,6}:{(132,1),(133,1),(136,1),(208,1),(209,1),(210,1),(276,1)}
       171:{3,4,6}:{(133,1),(137,1),(210,1),(211,1)}
       172:{1,2,4,5,7}:{(134,1),(135,1),(142,1),(144,1),(199,1),(207,1),(212,1),(215,1),(226,1),(262,1),(271,1),(278,1),(279,1),(281,1),(284,1),(307,1),(309,1)}
       173:{2,3,5,7}:{(134,1),(143,1),(145,1),(200,1),(208,1),(212,1),(213,1),(263,1),(276,1)}
       174:{1,3,5,7}:{(135,1),(136,1),(138,1),(209,1),(214,1),(215,1)}
       175:{2,4,7}:{(136,1),(137,1),(210,1),(215,1)}
       176:{3,4,5,7}:{(137,1),(140,1),(211,1),(216,1),(217,1)}
       177:{2,3,6,7}:{(138,1),(214,1),(218,1),(223,1),(268,1),(274,1),(311,1)}
       178:{1,3,4,6,7}:{(138,1),(139,1),(149,1),(204,1),(215,1),(218,1),(219,1),(224,1),(269,1),(275,1),(280,1),(282,1),(285,1),(308,1),(311,1)}
       179:{2,3,5,7}:{(139,1),(140,1),(150,1),(205,1),(216,1),(219,1),(220,1),(276,1)}
       180:{3,5,6}:{(140,1),(141,1),(217,1),(311,1)}
       181:{1,3,5}:{(142,1),(143,1),(152,1),(221,1),(222,1)}
       182:{2,3,4}:{(143,1),(222,1)}
       183:{1,3,7}:{(144,1),(145,1),(152,1),(223,1)}
       184:{2,3,4,7}:{(145,1),(147,1),(153,1),(224,1),(225,1),(280,1)}
       185:{1,4,7}:{(146,1),(147,1),(154,1)}
       186:{2,4,5,7}:{(147,1),(148,1),(150,1),(155,1),(225,1),(226,1),(227,1),(284,1)}
       187:{1,3,4,6}:{(148,1),(151,1),(217,1),(227,1),(282,1),(285,1),(311,1)}
       188:{1,5,7}:{(149,1),(150,1),(228,1)}
       189:{2,5,6}:{(150,1),(151,1),(227,1),(228,1)}
       190:{2,3,6}:{(152,1),(221,1),(223,1),(229,1)}
       191:{1,3,4,6}:{(152,1),(153,1),(154,1),(222,1),(224,1),(229,1),(230,1),(285,1)}
       192:{2,3,5}:{(153,1),(155,1),(230,1),(310,1)}
       193:{1,4,5}:{(154,1),(155,1),(230,1)}
       194:{1,3,4,5}:{(156,1),(157,1),(231,1),(286,1),(291,1)}
       195:{2,4,6}:{(157,1),(158,1),(160,1),(231,1),(233,1)}
       196:{1,2,5,6}:{(158,1),(161,1),(232,1),(234,1),(313,1),(314,1)}
       197:{2,3,5,6}:{(158,1),(159,1),(162,1),(233,1),(234,1),(235,1),(243,1),(288,1),(290,1),(294,1),(313,1),(314,1)}
       198:{1,3,4,6}:{(159,1),(163,1),(171,1),(235,1),(236,1),(247,1),(298,1)}
       199:{1,2,4,7}:{(160,1),(161,1),(232,1),(237,1),(239,1),(292,1)}
       200:{2,3,7}:{(160,1),(233,1),(237,1)}
       201:{1,3,5,7}:{(161,1),(162,1),(164,1),(234,1),(237,1),(239,1),(242,1)}
       202:{2,4,7}:{(162,1),(163,1),(235,1),(239,1)}
       203:{1,3,4,5,7}:{(163,1),(166,1),(176,1),(236,1),(240,1),(241,1),(252,1),(293,1),(300,1)}
       204:{1,4,6,7}:{(164,1),(165,1),(239,1),(242,1),(295,1)}
       205:{2,5,7}:{(165,1),(166,1),(242,1),(243,1)}
       206:{1,3,5,6}:{(166,1),(167,1),(180,1),(241,1),(243,1)}
       207:{1,2,4,6}:{(168,1),(169,1),(172,1),(244,1),(247,1),(260,1),(295,1),(296,1),(301,1),(302,1),(314,1)}
       208:{2,3,6}:{(168,1),(173,1),(244,1)}
       209:{1,3,5,6}:{(169,1),(170,1),(174,1),(244,1),(246,1),(247,1),(297,1)}
       210:{2,4,6}:{(170,1),(171,1),(175,1),(247,1),(248,1)}
       211:{3,4,5}:{(171,1),(248,1)}
       212:{1,3,5,7}:{(172,1),(173,1),(181,1),(183,1),(237,1),(244,1),(249,1),(250,1),(286,1),(297,1),(300,1)}
       213:{2,3,4,7}:{(173,1),(175,1),(182,1),(245,1),(250,1),(287,1)}
       214:{2,3,5,7}:{(174,1),(177,1),(246,1),(251,1),(254,1),(300,1)}
       215:{1,4,7}:{(174,1),(175,1),(247,1),(251,1)}
       216:{2,4,5,7}:{(175,1),(176,1),(179,1),(248,1),(252,1),(253,1)}
       217:{3,4,6}:{(176,1),(180,1),(253,1)}
       218:{2,4,6,7}:{(177,1),(178,1),(251,1),(254,1),(257,1),(292,1),(296,1),(301,1),(302,1),(314,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(188,1),(242,1),(252,1),(254,1),(255,1),(297,1),(300,1)}
       220:{2,3,5,6}:{(179,1),(180,1),(189,1),(243,1),(253,1),(255,1),(259,1),(294,1)}
       221:{2,3,5}:{(181,1),(190,1),(256,1),(261,1)}
       222:{1,3,4}:{(181,1),(182,1),(256,1)}
       223:{2,3,7}:{(183,1),(190,1),(257,1)}
       224:{1,3,4,7}:{(183,1),(184,1),(185,1),(191,1),(257,1),(258,1)}
       225:{2,3,5,7}:{(184,1),(186,1),(192,1),(258,1),(259,1),(300,1)}
       226:{1,4,5,7}:{(185,1),(186,1),(188,1),(193,1),(258,1),(260,1)}
       227:{2,4,6}:{(186,1),(187,1),(189,1),(259,1),(260,1),(302,1)}
       228:{1,5,6}:{(188,1),(189,1),(260,1)}
       229:{2,4,6}:{(190,1),(191,1),(256,1),(257,1),(261,1),(302,1)}
       230:{1,3,5}:{(191,1),(192,1),(193,1),(261,1)}
       231:{2,4,5}:{(194,1),(195,1),(263,1)}
       232:{1,2,4,6}:{(195,1),(196,1),(199,1),(262,1),(264,1),(266,1),(305,1)}
       233:{2,3,6}:{(195,1),(200,1),(263,1),(264,1)}
       234:{1,3,5,6}:{(196,1),(197,1),(201,1),(264,1),(266,1),(273,1),(306,1),(308,1)}
       235:{2,4,6}:{(197,1),(198,1),(202,1),(266,1),(267,1)}
       236:{1,3,4,5}:{(198,1),(211,1),(267,1),(278,1),(306,1),(310,1)}
       237:{1,3,7}:{(199,1),(200,1),(264,1),(268,1)}
       238:{2,3,4,7}:{(200,1),(202,1),(265,1),(269,1),(270,1),(280,1)}
       239:{1,4,7}:{(201,1),(202,1),(266,1)}
       240:{2,4,5,7}:{(202,1),(203,1),(205,1),(267,1),(270,1),(271,1),(272,1),(307,1)}
       241:{1,3,4,6}:{(203,1),(206,1),(217,1),(272,1),(282,1),(308,1),(311,1)}
       242:{1,5,7}:{(204,1),(205,1),(273,1)}
       243:{2,5,6}:{(205,1),(206,1),(272,1),(273,1)}
       244:{1,3,6}:{(207,1),(208,1),(212,1),(274,1),(311,1)}
       245:{2,3,4,6}:{(208,1),(210,1),(213,1),(275,1),(276,1)}
       246:{2,3,5,6}:{(209,1),(214,1),(274,1),(277,1),(283,1),(309,1),(310,1),(311,1)}
       247:{1,4,6}:{(209,1),(210,1),(215,1),(277,1),(278,1)}
       248:{2,4,5}:{(210,1),(211,1),(276,1),(278,1)}
       249:{2,3,5,7}:{(212,1),(221,1),(223,1),(268,1),(274,1),(279,1),(284,1),(303,1),(307,1),(309,1)}
       250:{1,3,4,7}:{(212,1),(213,1),(215,1),(222,1),(275,1),(279,1),(280,1),(304,1)}
       251:{2,4,7}:{(214,1),(215,1),(277,1),(280,1)}
       252:{1,4,5,7}:{(215,1),(216,1),(219,1),(278,1),(281,1),(282,1)}
       253:{2,4,6}:{(216,1),(217,1),(220,1),(282,1)}
       254:{2,5,7}:{(218,1),(219,1),(283,1),(309,1)}
       255:{1,3,5,6}:{(219,1),(220,1),(228,1),(273,1),(282,1),(283,1),(285,1),(308,1),(311,1)}
       256:{2,4}:{(221,1),(222,1)}
       257:{2,4,7}:{(223,1),(224,1),(229,1),(284,1)}
       258:{1,3,5,7}:{(224,1),(225,1),(226,1),(230,1),(284,1),(285,1)}
       259:{2,3,6}:{(225,1),(227,1),(285,1),(311,1)}
       260:{1,4,6}:{(226,1),(227,1),(228,1),(285,1)}
       261:{2,5}:{(229,1),(230,1)}
       262:{1,2,4,5}:{(231,1),(232,1),(286,1),(291,1),(312,1),(313,1)}
       263:{2,3,5}:{(231,1),(233,1),(286,1),(287,1)}
       264:{1,3,6}:{(232,1),(233,1),(237,1),(286,1),(288,1)}
       265:{2,3,4,6}:{(233,1),(235,1),(238,1),(287,1),(289,1),(290,1),(294,1),(298,1)}
       266:{1,4,6}:{(234,1),(235,1),(239,1),(291,1)}
       267:{2,4,5}:{(235,1),(236,1),(290,1),(291,1),(313,1)}
       268:{2,3,7}:{(237,1),(288,1),(292,1)}
       269:{1,3,4,7}:{(237,1),(238,1),(239,1),(289,1),(292,1),(293,1)}
       270:{2,3,5,7}:{(238,1),(240,1),(290,1),(293,1),(294,1),(300,1)}
       271:{1,4,5,7}:{(239,1),(240,1),(242,1),(291,1),(293,1),(295,1)}
       272:{2,4,6}:{(240,1),(241,1),(243,1),(294,1),(295,1),(314,1)}
       273:{1,5,6}:{(242,1),(243,1),(295,1)}
       274:{2,3,6}:{(244,1),(249,1),(296,1),(302,1),(314,1)}
       275:{1,3,4,6}:{(244,1),(245,1),(247,1),(250,1),(296,1),(297,1),(298,1)}
       276:{2,3,5}:{(245,1),(248,1),(297,1)}
       277:{2,4,6}:{(246,1),(247,1),(251,1),(298,1),(299,1)}
       278:{1,4,5}:{(247,1),(248,1),(297,1),(299,1)}
       279:{2,4,7}:{(249,1),(250,1),(256,1),(296,1),(312,1)}
       280:{3,4,7}:{(251,1),(298,1),(300,1)}
       281:{2,4,5,7}:{(251,1),(252,1),(254,1),(299,1),(300,1),(301,1)}
       282:{1,4,6}:{(252,1),(253,1),(255,1),(301,1)}
       283:{2,5,6}:{(254,1),(255,1),(301,1),(302,1),(314,1)}
       284:{2,5,7}:{(257,1),(258,1),(261,1),(302,1)}
       285:{1,3,6}:{(258,1),(259,1),(260,1),(302,1)}
       286:{1,3,5}:{(262,1),(263,1),(264,1),(303,1),(304,1)}
       287:{2,3,4}:{(263,1),(304,1)}
       288:{2,3,6}:{(264,1),(268,1),(303,1),(305,1)}
       289:{1,3,4,6}:{(264,1),(265,1),(266,1),(269,1),(304,1),(305,1),(306,1),(308,1)}
       290:{2,3,5}:{(265,1),(267,1),(306,1),(310,1)}
       291:{1,4,5}:{(266,1),(267,1),(306,1)}
       292:{2,4,7}:{(268,1),(269,1),(305,1),(307,1)}
       293:{1,3,5,7}:{(269,1),(270,1),(271,1),(306,1),(307,1),(308,1)}
       294:{2,3,6}:{(270,1),(272,1),(308,1),(311,1)}
       295:{1,4,6}:{(271,1),(272,1),(273,1),(308,1)}
       296:{2,4,6}:{(274,1),(275,1),(279,1),(309,1)}
       297:{1,3,5}:{(275,1),(276,1),(278,1),(309,1),(310,1)}
       298:{3,4,6}:{(277,1),(280,1),(310,1),(311,1)}
       299:{2,4,5}:{(277,1),(278,1),(309,1),(310,1)}
       300:{3,5,7}:{(280,1),(281,1),(310,1),(311,1)}
       301:{2,4,6}:{(281,1),(282,1),(283,1),(311,1)}
       302:{2,6}:{(284,1),(285,1)}
       303:{2,3,5}:{(286,1),(288,1),(312,1),(313,1)}
       304:{1,3,4}:{(286,1),(287,1),(312,1)}
       305:{2,4,6}:{(288,1),(289,1),(292,1),(312,1),(313,1),(314,1)}
       306:{1,3,5}:{(289,1),(290,1),(291,1),(313,1)}
       307:{2,5,7}:{(292,1),(293,1),(313,1),(314,1)}
       308:{1,3,6}:{(293,1),(294,1),(295,1),(314,1)}
       309:{2,5}:{(296,1),(297,1)}
       310:{3,5}:{(298,1),(299,1)}
       311:{3,6}:{(300,1),(301,1)}
       312:{2,4}:{(303,1),(304,1)}
       313:{2,5}:{(305,1),(306,1)}
       314:{2,6}:{(307,1),(308,1)}

1163 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(36,1),(38,1),(43,1),(44,1),(73,1),(75,1),(86,1),(140,1),(150,1),(209,1),(213,1),(224,1)}
         1:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(24,1),(104,1),(121,1),(175,1),(186,1),(244,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(23,1),(28,1),(63,1),(109,1),(119,1),(183,1),(253,1)}
         3:{1,2,4,6,7}:{(2,1),(8,1),(9,1),(32,1),(36,1),(90,1),(141,1),(213,1)}
         4:{1,3,4,7}:{(1,1),(11,1),(12,1),(36,1),(89,1),(209,1),(219,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(43,1),(75,1),(78,1),(149,1)}
         6:{1,3,6}:{(1,1),(2,1),(14,1),(155,1),(217,1)}
         7:{1,2,5,6}:{(2,1),(9,1),(15,1),(43,1),(83,1),(95,1),(140,1),(146,1),(233,1)}
         8:{1,3,6,7}:{(3,1),(6,1),(18,1),(19,1),(244,1),(253,1)}
         9:{1,2,5,7}:{(3,1),(7,1),(19,1),(55,1),(125,1),(178,1),(254,1)}
        10:{1,3,4,5,7}:{(4,1),(20,1),(21,1),(24,1),(48,1),(56,1),(61,1),(114,1),(115,1),(121,1),(127,1),(179,1),(180,1),(186,1),(197,1),(244,1),(256,1),(290,1)}
        11:{2,4,7}:{(4,1),(5,1),(22,1),(23,1),(185,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(23,1),(24,1),(28,1),(72,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(66,1),(68,1),(132,1)}
        14:{2,3,6}:{(5,1),(6,1),(23,1),(26,1),(109,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(19,1),(24,1),(27,1),(28,1),(175,1),(202,1),(203,1),(253,1)}
        16:{2,3,4,7}:{(11,1),(29,1),(30,1),(31,1),(78,1),(89,1),(143,1),(144,1),(158,1),(219,1),(270,1),(271,1),(297,1)}
        17:{1,3,4,6,7}:{(8,1),(12,1),(32,1),(33,1),(36,1),(84,1),(89,1),(155,1)}
        18:{2,3,6,7}:{(8,1),(14,1),(32,1),(34,1),(35,1),(141,1),(155,1),(223,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(15,1),(35,1),(36,1),(224,1),(225,1)}
        20:{2,4,5,7}:{(10,1),(11,1),(29,1),(38,1),(39,1),(43,1),(75,1),(81,1),(91,1),(143,1),(144,1),(150,1),(213,1),(215,1)}
        21:{1,3,4,6}:{(10,1),(39,1),(40,1),(76,1),(84,1),(147,1),(148,1),(155,1),(217,1),(278,1),(303,1)}
        22:{1,4,7}:{(11,1),(13,1),(42,1),(166,1)}
        23:{2,4,6}:{(11,1),(12,1),(14,1),(42,1),(43,1)}
        24:{1,3,5}:{(12,1),(43,1),(44,1),(100,1)}
        25:{1,2,5,7}:{(13,1),(41,1),(45,1),(75,1),(98,1),(313,1)}
        26:{1,3,6}:{(13,1),(14,1),(42,1),(45,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(35,1),(43,1),(46,1),(47,1),(83,1),(100,1),(146,1),(149,1),(155,1),(168,1),(169,1),(217,1),(223,1)}
        28:{1,4,6}:{(15,1),(36,1),(44,1),(47,1),(209,1)}
        29:{2,3,5,7}:{(16,1),(20,1),(48,1),(49,1),(52,1),(121,1),(186,1),(191,1),(244,1),(290,1),(307,1)}
        30:{1,3,4,7}:{(16,1),(22,1),(48,1),(50,1),(51,1),(66,1),(104,1),(172,1),(179,1),(193,1),(244,1),(291,1),(308,1)}
        31:{2,3,4,6}:{(16,1),(23,1),(49,1),(51,1),(52,1),(72,1),(111,1),(112,1),(136,1),(181,1),(185,1),(247,1),(248,1),(250,1),(285,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(23,1),(54,1),(55,1),(59,1),(119,1)}
        33:{1,3,5,7}:{(17,1),(24,1),(53,1),(55,1),(56,1),(121,1)}
        34:{1,3,6,7}:{(18,1),(26,1),(54,1),(57,1),(58,1),(190,1)}
        35:{2,3,5,7}:{(18,1),(19,1),(27,1),(55,1),(58,1),(59,1),(121,1),(178,1),(191,1),(192,1),(244,1)}
        36:{1,4,7}:{(19,1),(28,1),(59,1)}
        37:{1,3,4,6,7}:{(21,1),(60,1),(61,1),(106,1),(117,1),(179,1),(180,1),(189,1),(244,1)}
        38:{1,4,5,7}:{(20,1),(22,1),(48,1),(63,1),(68,1),(114,1),(125,1),(172,1),(179,1),(237,1)}
        39:{2,4,6}:{(20,1),(21,1),(49,1),(63,1),(64,1),(109,1)}
        40:{1,3,5,6}:{(21,1),(24,1),(61,1),(64,1),(65,1),(131,1),(197,1)}
        41:{1,2,4,7}:{(22,1),(25,1),(50,1),(66,1),(67,1),(308,1),(309,1)}
        42:{1,4,6}:{(22,1),(23,1),(26,1),(68,1)}
        43:{2,5}:{(23,1),(24,1),(68,1)}
        44:{1,4,5}:{(24,1),(28,1),(69,1),(202,1)}
        45:{1,2,6}:{(25,1),(26,1),(109,1),(314,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(58,1),(68,1),(70,1),(71,1),(118,1),(132,1),(134,1),(135,1),(190,1)}
        47:{2,4,6}:{(27,1),(28,1),(59,1),(69,1),(71,1),(72,1),(185,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(38,1),(75,1),(76,1),(80,1),(224,1),(313,1)}
        49:{2,3,6}:{(29,1),(39,1),(76,1),(155,1),(217,1),(223,1),(303,1),(312,1)}
        50:{2,4,7}:{(30,1),(75,1),(78,1),(79,1),(304,1)}
        51:{1,3,4,6}:{(30,1),(31,1),(42,1),(76,1),(79,1),(80,1),(97,1),(139,1),(147,1),(166,1),(170,1),(206,1),(209,1),(217,1),(219,1),(274,1),(275,1),(300,1)}
        52:{2,3,5}:{(31,1),(43,1),(80,1),(81,1),(100,1),(168,1),(215,1),(273,1),(299,1)}
        53:{1,3,5,6}:{(33,1),(83,1),(84,1),(155,1)}
        54:{1,4,6,7}:{(32,1),(34,1),(42,1),(85,1),(88,1),(154,1)}
        55:{2,5,7}:{(32,1),(33,1),(43,1),(83,1),(85,1)}
        56:{1,4,5,7}:{(33,1),(36,1),(44,1),(84,1),(86,1),(224,1)}
        57:{1,2,6,7}:{(34,1),(45,1),(87,1),(141,1),(223,1),(277,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(46,1),(85,1),(87,1),(88,1),(157,1)}
        59:{2,4,7}:{(35,1),(36,1),(47,1),(88,1),(89,1)}
        60:{2,4,6,7}:{(37,1),(39,1),(74,1),(90,1),(91,1),(141,1),(143,1),(213,1)}
        61:{1,3,5,7}:{(37,1),(40,1),(91,1),(92,1),(162,1)}
        62:{1,2,4,5,7}:{(38,1),(41,1),(75,1),(93,1),(94,1),(98,1),(144,1),(150,1),(160,1),(166,1),(213,1),(215,1),(227,1),(229,1),(269,1),(313,1)}
        63:{1,4,6}:{(38,1),(39,1),(76,1),(95,1)}
        64:{2,5,6}:{(39,1),(40,1),(43,1),(91,1),(95,1),(215,1)}
        65:{1,4,5,6}:{(40,1),(44,1),(84,1),(92,1),(96,1),(147,1),(229,1),(230,1),(278,1)}
        66:{1,3,7}:{(41,1),(78,1),(97,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(45,1),(79,1),(97,1),(98,1),(166,1),(300,1),(301,1),(302,1)}
        68:{1,5}:{(42,1),(43,1)}
        69:{2,4,5}:{(43,1),(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(87,1),(98,1),(101,1),(146,1),(168,1),(223,1),(230,1)}
        71:{1,4,6}:{(46,1),(47,1),(88,1),(99,1),(166,1)}
        72:{3,4,6}:{(47,1),(89,1),(100,1),(155,1),(217,1),(219,1)}
        73:{1,2,4,7}:{(50,1),(103,1),(104,1),(105,1),(172,1),(193,1),(254,1)}
        74:{2,3,6,7}:{(49,1),(60,1),(106,1),(107,1),(189,1),(244,1),(252,1)}
        75:{2,5,7}:{(48,1),(50,1),(109,1),(113,1)}
        76:{1,3,6}:{(48,1),(49,1),(63,1),(109,1),(253,1),(314,1)}
        77:{2,3,5,6}:{(49,1),(52,1),(64,1),(107,1),(110,1),(111,1),(131,1),(199,1),(248,1)}
        78:{2,3,7}:{(50,1),(66,1),(104,1),(112,1),(244,1)}
        79:{2,4,6}:{(50,1),(51,1),(109,1),(112,1),(113,1),(185,1),(292,1),(293,1)}
        80:{1,3,5}:{(51,1),(52,1),(68,1),(113,1),(114,1),(186,1),(202,1),(237,1),(310,1)}
        81:{2,4,5}:{(52,1),(111,1),(114,1),(115,1),(185,1)}
        82:{1,3,5,6,7}:{(53,1),(61,1),(116,1),(117,1),(189,1),(255,1)}
        83:{2,5,6}:{(53,1),(55,1),(118,1),(119,1)}
        84:{1,4,6}:{(53,1),(56,1),(119,1),(253,1)}
        85:{1,5,7}:{(54,1),(55,1),(68,1),(118,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(59,1),(69,1),(119,1),(120,1),(121,1),(191,1)}
        87:{1,2,5,7}:{(57,1),(58,1),(70,1),(122,1),(178,1),(191,1),(257,1)}
        88:{1,4,7}:{(58,1),(59,1),(71,1)}
        89:{3,4,7}:{(59,1),(72,1),(121,1),(244,1)}
        90:{1,4,6,7}:{(60,1),(63,1),(106,1),(125,1),(179,1)}
        91:{2,5,7}:{(60,1),(61,1),(64,1),(125,1)}
        92:{1,4,5,7}:{(61,1),(65,1),(117,1),(126,1),(179,1),(257,1)}
        93:{1,3,5,7}:{(62,1),(66,1),(108,1),(127,1),(128,1),(132,1),(186,1),(197,1),(244,1),(290,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(109,1),(128,1),(129,1),(181,1),(183,1),(198,1),(289,1),(314,1)}
        95:{1,5,6}:{(63,1),(64,1),(68,1),(125,1),(237,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(69,1),(111,1),(119,1),(126,1),(130,1),(131,1),(183,1),(199,1),(246,1),(289,1)}
        97:{1,3,6}:{(66,1),(67,1),(112,1),(132,1),(311,1)}
        98:{1,2,5}:{(67,1),(68,1),(113,1),(132,1),(310,1)}
        99:{1,4,5}:{(68,1),(69,1),(71,1),(134,1)}
       100:{3,5}:{(69,1),(72,1)}
       101:{1,2,4,6}:{(70,1),(71,1),(122,1),(133,1),(135,1),(136,1),(183,1),(249,1),(292,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(123,1),(134,1),(135,1),(136,1),(190,1),(200,1)}
       103:{1,2,5,7}:{(73,1),(75,1),(137,1),(138,1),(140,1),(224,1)}
       104:{1,3,7}:{(73,1),(78,1),(139,1)}
       105:{1,2,4,6}:{(73,1),(79,1),(138,1),(139,1),(140,1),(170,1),(206,1),(209,1),(233,1),(279,1)}
       106:{1,3,6,7}:{(74,1),(76,1),(90,1),(141,1),(142,1),(277,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(91,1),(142,1),(143,1),(162,1),(228,1),(271,1)}
       108:{2,3,5,7}:{(75,1),(78,1),(93,1),(137,1),(144,1),(145,1),(149,1),(215,1)}
       109:{2,6}:{(75,1),(76,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(80,1),(95,1),(142,1),(146,1),(147,1),(217,1),(230,1),(274,1)}
       111:{2,4,6}:{(77,1),(81,1),(143,1),(147,1),(148,1)}
       112:{2,3,6}:{(78,1),(79,1),(97,1),(139,1),(149,1),(217,1),(305,1)}
       113:{2,5}:{(79,1),(80,1)}
       114:{1,4,5}:{(80,1),(81,1),(147,1),(150,1),(166,1),(209,1)}
       115:{3,4,5}:{(81,1),(100,1),(148,1),(219,1),(273,1)}
       116:{2,5,6,7}:{(82,1),(83,1),(91,1),(152,1),(153,1),(268,1)}
       117:{1,4,6,7}:{(82,1),(84,1),(92,1),(153,1),(277,1),(278,1)}
       118:{1,5,6}:{(83,1),(85,1),(154,1)}
       119:{2,4,6}:{(83,1),(84,1),(86,1),(154,1),(155,1),(223,1)}
       120:{1,4,5,7}:{(85,1),(86,1),(88,1),(99,1),(154,1),(156,1)}
       121:{3,5,7}:{(86,1),(89,1),(100,1),(155,1)}
       122:{1,2,4,7}:{(87,1),(88,1),(101,1),(157,1),(158,1),(213,1),(272,1),(304,1)}
       123:{1,3,4,7}:{(88,1),(89,1),(102,1),(156,1),(157,1),(158,1)}
       124:{1,2,4,6,7}:{(90,1),(94,1),(141,1),(159,1),(160,1),(211,1),(213,1),(227,1)}
       125:{1,5,7}:{(90,1),(91,1),(95,1)}
       126:{2,4,5,7}:{(91,1),(92,1),(96,1),(143,1),(153,1),(161,1),(162,1),(213,1),(228,1)}
       127:{1,3,4,7}:{(93,1),(144,1),(163,1),(166,1),(219,1),(227,1),(270,1)}
       128:{1,3,6}:{(93,1),(94,1),(145,1),(217,1),(303,1)}
       129:{1,2,5,6}:{(94,1),(95,1),(98,1),(146,1),(160,1),(164,1),(215,1),(268,1),(301,1)}
       130:{1,4,5,6}:{(95,1),(96,1),(99,1),(147,1),(154,1),(161,1),(165,1),(263,1),(295,1)}
       131:{3,5,6}:{(96,1),(100,1),(148,1),(155,1),(162,1),(217,1),(273,1),(303,1)}
       132:{1,3,5}:{(97,1),(98,1),(149,1),(166,1)}
       133:{1,2,4,5}:{(98,1),(99,1),(101,1),(150,1),(166,1),(167,1),(168,1),(221,1),(231,1),(276,1),(302,1)}
       134:{1,3,5}:{(99,1),(100,1),(102,1),(168,1)}
       135:{1,3,6}:{(101,1),(157,1),(167,1),(169,1),(217,1)}
       136:{2,4,6}:{(102,1),(158,1),(168,1),(169,1),(170,1),(223,1),(231,1)}
       137:{1,3,5,7}:{(103,1),(104,1),(108,1),(172,1),(173,1),(175,1),(237,1)}
       138:{1,2,6}:{(103,1),(109,1),(173,1),(253,1)}
       139:{1,3,6}:{(104,1),(105,1),(112,1),(175,1),(294,1)}
       140:{1,2,5}:{(105,1),(113,1),(175,1),(202,1),(237,1)}
       141:{2,6,7}:{(106,1),(109,1),(178,1)}
       142:{1,3,5,7}:{(106,1),(107,1),(110,1),(125,1),(178,1),(179,1),(244,1),(257,1),(291,1)}
       143:{2,4,7}:{(107,1),(111,1),(179,1),(180,1)}
       144:{2,4,7}:{(108,1),(127,1),(172,1),(181,1),(185,1)}
       145:{2,3,6}:{(108,1),(109,1),(128,1),(173,1),(181,1)}
       146:{2,5,6}:{(109,1),(110,1),(113,1),(178,1),(183,1),(292,1)}
       147:{1,4,6}:{(110,1),(111,1),(114,1),(179,1),(183,1)}
       148:{3,4,6}:{(111,1),(115,1),(131,1),(180,1)}
       149:{2,3,5}:{(112,1),(113,1),(132,1),(175,1),(185,1),(186,1)}
       150:{2,4,5}:{(113,1),(114,1),(183,1),(185,1),(186,1)}
       151:{1,3,4,5}:{(114,1),(115,1),(134,1),(184,1),(186,1),(187,1),(200,1),(240,1),(251,1),(284,1)}
       152:{1,5,6,7}:{(116,1),(118,1),(125,1),(188,1),(280,1)}
       153:{2,4,6,7}:{(116,1),(117,1),(119,1),(126,1),(188,1),(189,1),(252,1),(289,1)}
       154:{1,4,6}:{(118,1),(119,1),(120,1),(190,1)}
       155:{3,6}:{(119,1),(121,1)}
       156:{1,3,5,7}:{(120,1),(121,1),(123,1),(134,1),(190,1),(191,1)}
       157:{1,3,7}:{(122,1),(135,1),(192,1),(244,1)}
       158:{2,4,7}:{(123,1),(136,1),(191,1),(192,1),(193,1)}
       159:{1,3,6,7}:{(124,1),(128,1),(177,1),(195,1),(244,1),(314,1)}
       160:{1,2,5,7}:{(124,1),(125,1),(129,1),(178,1),(195,1),(242,1),(309,1)}
       161:{1,4,5,7}:{(125,1),(126,1),(130,1),(179,1),(188,1),(196,1)}
       162:{3,5,7}:{(126,1),(131,1),(180,1),(189,1),(244,1)}
       163:{1,3,4,6}:{(127,1),(128,1),(181,1),(197,1),(198,1),(247,1)}
       164:{1,3,5,6}:{(128,1),(129,1),(132,1),(182,1),(195,1),(197,1),(198,1),(286,1),(310,1),(314,1)}
       165:{1,3,5,6}:{(130,1),(131,1),(134,1),(184,1),(190,1),(196,1),(199,1),(284,1),(306,1)}
       166:{1,4}:{(132,1),(185,1)}
       167:{1,3,5}:{(133,1),(135,1),(186,1),(200,1),(201,1),(311,1)}
       168:{2,5}:{(134,1),(136,1),(202,1)}
       169:{2,3,6}:{(135,1),(136,1),(192,1),(201,1),(203,1),(292,1)}
       170:{1,4,6}:{(136,1),(193,1),(202,1),(203,1),(253,1),(258,1)}
       171:{1,2,6,7}:{(138,1),(141,1),(204,1),(205,1),(277,1),(312,1)}
       172:{1,4,7}:{(137,1),(144,1),(206,1),(209,1)}
       173:{1,3,6}:{(137,1),(138,1),(145,1),(206,1)}
       174:{1,2,5,6}:{(138,1),(140,1),(146,1),(205,1),(207,1),(208,1),(230,1),(299,1),(312,1)}
       175:{1,3,5}:{(139,1),(140,1),(149,1),(209,1)}
       176:{1,2,4,5}:{(140,1),(150,1),(208,1),(209,1),(210,1),(221,1),(263,1),(266,1),(276,1),(279,1),(299,1)}
       177:{2,3,6,7}:{(141,1),(145,1),(159,1),(204,1),(211,1),(212,1),(303,1),(312,1)}
       178:{2,5,7}:{(141,1),(142,1),(146,1),(213,1),(304,1)}
       179:{1,4,7}:{(142,1),(143,1),(147,1),(213,1)}
       180:{3,4,7}:{(143,1),(148,1),(162,1)}
       181:{2,4,6}:{(144,1),(145,1),(163,1),(206,1),(215,1)}
       182:{2,3,5,6}:{(145,1),(146,1),(149,1),(164,1),(207,1),(212,1),(215,1),(216,1),(217,1),(265,1),(268,1),(273,1),(299,1),(303,1),(312,1)}
       183:{2,4,6}:{(146,1),(147,1),(150,1),(213,1),(217,1)}
       184:{1,3,4,6}:{(147,1),(148,1),(151,1),(165,1),(214,1),(217,1),(218,1),(274,1)}
       185:{2,4}:{(149,1),(166,1),(209,1),(219,1)}
       186:{3,5}:{(150,1),(217,1),(219,1)}
       187:{2,4,5}:{(151,1),(168,1),(218,1),(220,1),(221,1),(231,1),(266,1),(276,1),(299,1)}
       188:{1,4,6,7}:{(152,1),(153,1),(154,1),(161,1),(222,1),(295,1)}
       189:{3,6,7}:{(153,1),(155,1),(162,1),(303,1)}
       190:{1,3,6}:{(154,1),(155,1),(156,1),(223,1)}
       191:{2,5,7}:{(156,1),(158,1),(168,1),(223,1),(224,1)}
       192:{2,3,7}:{(157,1),(158,1),(169,1),(225,1),(304,1)}
       193:{1,4,7}:{(158,1),(170,1),(224,1),(225,1)}
       194:{1,3,4,6,7}:{(159,1),(163,1),(211,1),(226,1),(227,1),(270,1),(278,1),(303,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(164,1),(212,1),(227,1),(298,1),(313,1)}
       196:{1,3,5,7}:{(161,1),(162,1),(165,1),(214,1),(222,1),(228,1)}
       197:{1,3,5}:{(163,1),(215,1),(229,1),(273,1)}
       198:{1,4,6}:{(164,1),(166,1),(216,1),(227,1),(229,1)}
       199:{2,5,6}:{(165,1),(168,1),(218,1),(223,1),(228,1),(230,1),(299,1),(312,1)}
       200:{1,3,4}:{(166,1),(167,1),(219,1),(231,1)}
       201:{2,3,5}:{(167,1),(168,1),(169,1),(231,1),(232,1),(276,1),(305,1)}
       202:{1,5}:{(168,1),(170,1)}
       203:{1,3,6}:{(169,1),(170,1),(225,1),(232,1),(233,1)}
       204:{1,3,6,7}:{(171,1),(173,1),(177,1),(234,1),(235,1),(306,1)}
       205:{1,2,5,7}:{(171,1),(174,1),(178,1),(235,1),(236,1),(257,1),(307,1)}
       206:{1,4,6}:{(172,1),(173,1),(181,1),(237,1)}
       207:{1,3,5,6}:{(173,1),(174,1),(175,1),(182,1),(235,1),(237,1),(238,1),(239,1),(280,1),(284,1),(306,1)}
       208:{1,2,4,6}:{(174,1),(176,1),(183,1),(236,1),(238,1),(239,1),(249,1),(285,1),(292,1)}
       209:{1,4}:{(175,1),(185,1)}
       210:{1,3,5}:{(176,1),(186,1),(239,1),(240,1),(241,1),(294,1)}
       211:{2,4,6,7}:{(177,1),(181,1),(194,1),(234,1),(242,1),(243,1),(289,1)}
       212:{2,3,5,7}:{(177,1),(178,1),(182,1),(195,1),(235,1),(242,1),(243,1),(244,1),(283,1),(290,1),(307,1)}
       213:{2,4,7}:{(178,1),(179,1),(183,1),(244,1)}
       214:{1,3,4,7}:{(179,1),(180,1),(184,1),(196,1),(244,1),(245,1),(291,1)}
       215:{2,5}:{(181,1),(197,1),(237,1)}
       216:{2,4,6}:{(182,1),(185,1),(198,1),(238,1),(243,1),(246,1),(247,1)}
       217:{3,6}:{(183,1),(186,1),(244,1)}
       218:{2,4,6}:{(184,1),(187,1),(199,1),(245,1),(248,1),(249,1),(292,1)}
       219:{3,4}:{(185,1),(186,1)}
       220:{2,3,5}:{(186,1),(187,1),(248,1),(250,1),(251,1)}
       221:{1,4,5}:{(187,1),(202,1),(249,1),(251,1),(258,1),(287,1),(310,1)}
       222:{1,3,6,7}:{(188,1),(189,1),(190,1),(196,1),(252,1),(306,1)}
       223:{2,6}:{(190,1),(191,1),(253,1)}
       224:{1,5,7}:{(191,1),(193,1),(202,1),(253,1)}
       225:{1,3,7}:{(192,1),(193,1),(203,1),(254,1)}
       226:{1,3,5,7}:{(194,1),(197,1),(242,1),(255,1),(256,1),(290,1)}
       227:{1,4,7}:{(195,1),(198,1),(243,1)}
       228:{2,5,7}:{(196,1),(199,1),(245,1),(252,1),(257,1)}
       229:{1,4,5}:{(197,1),(198,1),(246,1),(310,1)}
       230:{1,5,6}:{(199,1),(202,1),(249,1),(253,1),(257,1),(310,1),(314,1)}
       231:{2,4}:{(200,1),(201,1),(258,1)}
       232:{1,3,5}:{(201,1),(202,1),(203,1),(258,1),(259,1),(294,1)}
       233:{1,2,6}:{(203,1),(254,1),(259,1),(292,1)}
       234:{1,4,6,7}:{(204,1),(206,1),(211,1),(260,1),(261,1),(295,1)}
       235:{1,3,5,7}:{(204,1),(205,1),(207,1),(212,1),(260,1),(261,1),(262,1)}
       236:{1,2,4,7}:{(205,1),(208,1),(213,1),(261,1),(262,1),(272,1),(297,1),(304,1)}
       237:{1,5}:{(206,1),(215,1)}
       238:{1,4,6}:{(207,1),(209,1),(216,1),(261,1),(263,1)}
       239:{1,3,6}:{(208,1),(210,1),(217,1),(262,1),(265,1)}
       240:{1,3,4}:{(209,1),(210,1),(219,1),(266,1)}
       241:{2,3,5}:{(210,1),(265,1),(266,1),(267,1),(276,1),(299,1),(305,1)}
       242:{2,5,7}:{(211,1),(215,1),(226,1),(260,1),(268,1)}
       243:{2,4,7}:{(212,1),(216,1),(227,1),(261,1),(270,1)}
       244:{3,7}:{(213,1),(217,1)}
       245:{2,4,7}:{(214,1),(218,1),(228,1),(271,1),(272,1),(304,1)}
       246:{2,4,5}:{(215,1),(216,1),(229,1),(263,1),(273,1),(299,1)}
       247:{3,4,6}:{(216,1),(217,1),(219,1),(270,1),(273,1),(303,1)}
       248:{2,3,6}:{(217,1),(218,1),(220,1),(271,1),(274,1)}
       249:{1,4,6}:{(218,1),(221,1),(230,1),(272,1),(274,1)}
       250:{2,3,4}:{(219,1),(220,1),(231,1),(266,1),(275,1),(305,1)}
       251:{1,3,5}:{(220,1),(221,1),(274,1),(275,1),(276,1)}
       252:{2,6,7}:{(222,1),(223,1),(228,1),(277,1),(312,1)}
       253:{1,6}:{(223,1),(224,1)}
       254:{1,2,7}:{(225,1),(233,1),(304,1)}
       255:{1,3,5,6}:{(226,1),(268,1),(278,1),(303,1)}
       256:{1,4,5,7}:{(226,1),(227,1),(229,1),(269,1),(278,1),(313,1)}
       257:{1,5,7}:{(228,1),(230,1),(272,1),(277,1)}
       258:{1,4}:{(231,1),(232,1)}
       259:{1,2,5}:{(232,1),(233,1),(276,1),(279,1)}
       260:{1,5,7}:{(234,1),(237,1),(242,1),(280,1)}
       261:{1,4,7}:{(235,1),(238,1),(243,1)}
       262:{1,3,7}:{(236,1),(239,1),(244,1),(283,1)}
       263:{1,4,5}:{(237,1),(238,1),(246,1),(284,1)}
       264:{1,3,4,6}:{(238,1),(239,1),(240,1),(247,1),(282,1),(284,1),(285,1),(306,1)}
       265:{2,3,6}:{(239,1),(241,1),(283,1),(285,1),(286,1),(292,1)}
       266:{2,4}:{(240,1),(241,1),(287,1)}
       267:{1,3,5}:{(241,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       268:{2,5,6}:{(242,1),(255,1),(280,1),(289,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(256,1),(281,1),(289,1),(290,1),(307,1)}
       270:{3,4,7}:{(243,1),(244,1),(247,1),(290,1)}
       271:{2,3,7}:{(244,1),(245,1),(248,1),(291,1)}
       272:{1,4,7}:{(245,1),(249,1),(257,1),(291,1)}
       273:{3,5}:{(246,1),(247,1)}
       274:{1,3,6}:{(248,1),(249,1),(251,1),(291,1),(292,1)}
       275:{1,3,4}:{(250,1),(251,1),(258,1),(287,1),(293,1),(294,1),(311,1)}
       276:{2,5}:{(251,1),(292,1),(293,1)}
       277:{1,6,7}:{(252,1),(253,1),(257,1),(314,1)}
       278:{1,4,6}:{(255,1),(256,1),(289,1),(314,1)}
       279:{1,2,4}:{(258,1),(259,1),(293,1),(294,1)}
       280:{1,5,6}:{(260,1),(268,1),(295,1)}
       281:{1,4,5,7}:{(260,1),(261,1),(263,1),(269,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(261,1),(262,1),(264,1),(270,1),(296,1),(297,1)}
       283:{2,3,7}:{(262,1),(265,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(263,1),(264,1),(273,1),(299,1)}
       285:{2,4,6}:{(264,1),(265,1),(266,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(265,1),(267,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(266,1),(267,1)}
       288:{1,2,5}:{(267,1),(276,1),(301,1),(302,1)}
       289:{2,4,6}:{(268,1),(269,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(269,1),(270,1),(273,1),(303,1)}
       291:{1,3,7}:{(271,1),(272,1),(274,1),(304,1)}
       292:{2,6}:{(274,1),(276,1),(304,1)}
       293:{2,4}:{(275,1),(276,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1164 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1165 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1166 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1167 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1168 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1169 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1170 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

1171 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1172 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1173 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1174 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1175 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1176 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(27,1),(55,1),(120,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(45,1),(97,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(156,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(37,1),(42,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(42,1),(82,1),(83,1),(103,1),(218,1),(228,1),(236,1),(242,1),(290,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(68,1),(130,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(27,1),(55,1),(59,1),(68,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(194,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(24,1),(30,1),(52,1),(63,1),(71,1),(106,1),(124,1),(177,1),(195,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(25,1),(184,1),(267,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(25,1),(27,1)}
        15:{1,3,5,6,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(65,1),(68,1)}
        16:{2,4,5,6}:{(7,1),(25,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(263,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(65,1),(74,1),(113,1),(114,1),(127,1),(134,1),(201,1),(208,1),(262,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(33,1),(36,1),(43,1),(78,1),(84,1),(93,1),(144,1),(153,1),(156,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(86,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(230,1)}
        24:{2,4,5,6}:{(12,1),(36,1),(40,1),(41,1),(90,1),(161,1),(231,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(16,1),(42,1),(43,1),(236,1)}
        26:{2,3,4,6,7}:{(14,1),(17,1),(37,1),(42,1),(44,1),(83,1),(147,1),(155,1),(166,1),(236,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(43,1),(45,1)}
        28:{2,5,6,7}:{(15,1),(45,1),(86,1),(92,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(42,1),(47,1),(222,1),(231,1)}
        30:{1,4,5,6}:{(16,1),(43,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(288,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(92,1),(149,1),(150,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(130,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(24,1),(57,1),(58,1),(115,1),(191,1),(194,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(68,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(28,1),(56,1),(60,1),(61,1),(117,1),(125,1),(179,1),(194,1),(264,1),(270,1),(301,1)}
        40:{2,3,5,6}:{(24,1),(57,1),(62,1),(63,1),(71,1),(177,1)}
        41:{1,4,5,6}:{(24,1),(58,1),(63,1),(198,1),(264,1)}
        42:{2,3,5,7}:{(25,1),(26,1),(29,1),(65,1),(184,1),(194,1)}
        43:{1,4,5,7}:{(25,1),(27,1),(30,1),(65,1),(66,1),(201,1)}
        44:{1,3,4,6,7}:{(26,1),(27,1),(31,1),(59,1),(65,1),(67,1),(68,1),(114,1),(127,1),(128,1),(193,1),(201,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1)}
        46:{2,3,5,6,7}:{(28,1),(61,1),(68,1),(69,1),(118,1),(126,1),(130,1),(194,1),(206,1),(250,1),(301,1),(314,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(65,1),(70,1),(71,1),(264,1)}
        48:{2,4,5,6}:{(30,1),(66,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(125,1),(138,1),(186,1),(188,1),(201,1),(208,1),(209,1),(262,1),(268,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(189,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(169,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(83,1),(96,1),(139,1),(155,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(86,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(83,1),(84,1),(93,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(41,1),(84,1),(227,1),(230,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(84,1),(86,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(45,1),(80,1),(85,1),(86,1),(87,1),(88,1),(155,1),(288,1),(291,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(46,1),(81,1),(87,1),(88,1),(154,1),(156,1),(163,1),(216,1),(230,1),(240,1),(283,1)}
        62:{2,3,4,6}:{(40,1),(82,1),(83,1),(89,1),(100,1),(161,1),(213,1),(232,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(84,1),(89,1),(90,1)}
        64:{1,2,4,5,6}:{(41,1),(48,1),(85,1),(90,1),(91,1),(98,1),(141,1),(157,1),(158,1),(161,1),(171,1),(211,1),(231,1),(235,1),(242,1),(275,1),(288,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(44,1),(47,1),(92,1),(93,1),(230,1)}
        66:{2,4,5,7}:{(43,1),(45,1),(48,1),(92,1),(93,1),(164,1)}
        67:{2,4,6,7}:{(44,1),(49,1),(86,1),(92,1),(95,1),(150,1),(164,1)}
        68:{3,6,7}:{(45,1),(93,1)}
        69:{2,4,6,7}:{(46,1),(88,1),(96,1),(97,1),(164,1),(238,1),(279,1),(310,1)}
        70:{2,5,6}:{(47,1),(49,1),(92,1)}
        71:{3,5,6}:{(48,1),(93,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(288,1),(291,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(225,1),(290,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(164,1),(224,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(130,1),(194,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(114,1),(175,1),(181,1),(182,1),(193,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(118,1),(180,1),(184,1),(194,1),(200,1),(256,1),(270,1),(304,1)}
        82:{2,3,4,5}:{(62,1),(113,1),(134,1),(199,1),(247,1),(257,1)}
        83:{2,3,4,7}:{(57,1),(62,1),(114,1),(127,1),(181,1),(191,1),(259,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(114,1),(115,1)}
        85:{1,2,4,5,7}:{(58,1),(60,1),(64,1),(66,1),(109,1),(115,1),(116,1),(120,1),(125,1),(179,1),(188,1),(191,1),(194,1),(201,1),(251,1),(262,1),(268,1),(299,1),(302,1)}
        86:{2,6,7}:{(59,1),(115,1)}
        87:{1,3,6,7}:{(60,1),(68,1),(111,1),(116,1),(118,1),(303,1),(304,1),(314,1)}
        88:{1,4,6,7}:{(61,1),(69,1),(112,1),(120,1),(201,1),(251,1),(269,1),(300,1)}
        89:{1,3,4,6}:{(62,1),(63,1),(113,1),(114,1),(121,1),(196,1),(198,1)}
        90:{2,5,6}:{(63,1),(115,1),(121,1)}
        91:{1,3,5,6}:{(64,1),(71,1),(116,1),(123,1),(124,1),(177,1),(196,1),(266,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1)}
        93:{3,5,7}:{(66,1),(68,1),(71,1),(127,1)}
        94:{1,2,4,6,7}:{(67,1),(72,1),(117,1),(125,1),(128,1),(188,1),(193,1),(201,1),(204,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(73,1),(126,1),(128,1),(189,1)}
        96:{3,4,6,7}:{(68,1),(69,1),(127,1),(130,1),(203,1),(298,1),(314,1)}
        97:{2,4,5,7}:{(69,1),(120,1),(130,1),(131,1),(194,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(125,1),(132,1),(209,1),(264,1),(270,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(126,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(127,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(259,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(201,1),(258,1),(267,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(169,1),(231,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(83,1),(139,1),(142,1),(165,1),(228,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(230,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(86,1),(143,1),(146,1),(150,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(88,1),(147,1),(148,1),(217,1),(236,1),(281,1),(291,1)}
       113:{1,3,4,5}:{(82,1),(89,1),(149,1),(223,1),(235,1)}
       114:{1,3,4,7}:{(83,1),(84,1),(89,1),(150,1),(225,1),(227,1)}
       115:{2,5,7}:{(84,1),(86,1),(90,1),(150,1)}
       116:{1,3,5,7}:{(85,1),(87,1),(91,1),(93,1),(144,1),(152,1),(153,1),(225,1),(290,1),(309,1)}
       117:{1,2,6,7}:{(86,1),(151,1),(154,1),(311,1)}
       118:{2,3,6,7}:{(86,1),(87,1),(152,1),(154,1),(155,1),(287,1),(311,1)}
       119:{1,3,4,6,7}:{(87,1),(88,1),(96,1),(147,1),(153,1),(155,1),(156,1),(229,1)}
       120:{1,4,5,7}:{(88,1),(97,1),(148,1),(156,1),(157,1),(230,1)}
       121:{2,4,6}:{(89,1),(90,1),(149,1),(150,1),(159,1)}
       122:{1,2,5,6}:{(90,1),(151,1),(158,1),(160,1),(289,1),(311,1)}
       123:{2,3,5,6}:{(90,1),(91,1),(152,1),(159,1),(160,1),(161,1),(231,1),(232,1),(234,1),(287,1),(289,1),(311,1)}
       124:{1,3,4,6}:{(91,1),(100,1),(153,1),(161,1),(162,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       125:{1,2,5,7}:{(92,1),(94,1),(98,1),(163,1),(230,1),(239,1)}
       126:{2,3,5,7}:{(92,1),(93,1),(95,1),(99,1),(163,1),(164,1)}
       127:{3,4,7}:{(93,1),(100,1),(164,1)}
       128:{1,3,6,7}:{(94,1),(95,1),(101,1),(163,1),(166,1),(225,1)}
       129:{2,3,4,6,7}:{(95,1),(96,1),(102,1),(155,1),(164,1),(167,1),(168,1),(226,1),(238,1),(287,1)}
       130:{3,5,7}:{(96,1),(97,1),(169,1)}
       131:{2,4,5,6}:{(97,1),(157,1),(169,1),(231,1),(238,1),(310,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(163,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(164,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(284,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(203,1),(263,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(264,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(114,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(262,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(117,1),(179,1),(182,1),(188,1),(193,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(189,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(267,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(120,1),(184,1),(185,1),(194,1)}
       149:{2,4,5}:{(113,1),(121,1),(187,1)}
       150:{2,4,7}:{(114,1),(115,1),(121,1),(189,1)}
       151:{1,2,5,7}:{(115,1),(117,1),(122,1),(188,1),(190,1),(302,1)}
       152:{2,3,5,7}:{(115,1),(116,1),(118,1),(123,1),(189,1),(190,1),(191,1),(194,1),(259,1),(302,1)}
       153:{1,3,4,7}:{(116,1),(124,1),(127,1),(181,1),(191,1),(201,1),(251,1),(267,1),(298,1)}
       154:{1,3,6,7}:{(117,1),(118,1),(190,1),(193,1),(303,1)}
       155:{2,4,6,7}:{(118,1),(119,1),(191,1),(193,1),(194,1),(263,1)}
       156:{1,3,5,7}:{(119,1),(120,1),(130,1),(184,1),(194,1),(195,1)}
       157:{1,4,5,6}:{(120,1),(131,1),(185,1),(195,1),(264,1),(269,1),(300,1)}
       158:{1,2,4,6}:{(121,1),(122,1),(186,1),(188,1),(196,1),(198,1),(265,1)}
       159:{2,3,6}:{(121,1),(187,1),(189,1),(196,1)}
       160:{1,3,5,6}:{(122,1),(123,1),(190,1),(196,1),(198,1),(264,1),(266,1),(303,1)}
       161:{2,4,6}:{(123,1),(124,1),(191,1),(198,1),(199,1)}
       162:{1,3,4,5}:{(124,1),(134,1),(199,1),(208,1),(247,1),(266,1),(271,1),(296,1),(313,1)}
       163:{1,3,5,7}:{(125,1),(126,1),(128,1),(132,1),(200,1),(201,1)}
       164:{2,4,7}:{(126,1),(127,1),(133,1),(201,1)}
       165:{3,4,5,7}:{(127,1),(130,1),(134,1),(202,1),(203,1)}
       166:{2,3,6,7}:{(128,1),(135,1),(200,1),(204,1),(259,1),(304,1)}
       167:{1,3,4,6,7}:{(128,1),(129,1),(136,1),(193,1),(201,1),(204,1),(205,1),(260,1),(267,1),(269,1),(303,1),(304,1)}
       168:{2,3,5,7}:{(129,1),(130,1),(137,1),(194,1),(202,1),(205,1),(206,1)}
       169:{3,5,6}:{(130,1),(131,1),(203,1),(314,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(200,1),(207,1),(209,1),(270,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(201,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(288,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(150,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(230,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(225,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(155,1),(217,1),(220,1),(221,1),(226,1),(273,1),(281,1),(287,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(157,1),(222,1),(231,1),(281,1),(291,1)}
       186:{1,2,4,5}:{(149,1),(158,1),(223,1),(235,1),(284,1),(289,1)}
       187:{2,3,5}:{(149,1),(159,1),(223,1),(224,1)}
       188:{1,2,4,7}:{(150,1),(151,1),(158,1),(225,1),(227,1),(285,1)}
       189:{2,3,7}:{(150,1),(159,1),(225,1)}
       190:{1,3,5,7}:{(151,1),(152,1),(154,1),(160,1),(225,1),(227,1),(230,1)}
       191:{2,4,7}:{(152,1),(153,1),(161,1),(227,1)}
       192:{1,3,4,5,7}:{(153,1),(156,1),(162,1),(165,1),(218,1),(228,1),(229,1),(237,1),(280,1),(286,1),(290,1),(309,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(227,1),(230,1),(288,1)}
       194:{2,5,7}:{(155,1),(156,1),(230,1),(231,1)}
       195:{1,3,5,6}:{(156,1),(157,1),(169,1),(222,1),(229,1),(231,1)}
       196:{1,3,6}:{(158,1),(159,1),(223,1),(225,1),(232,1)}
       197:{2,3,4,6}:{(159,1),(161,1),(224,1),(226,1),(233,1),(234,1),(241,1),(287,1),(307,1)}
       198:{1,4,6}:{(160,1),(161,1),(227,1),(235,1)}
       199:{2,4,5}:{(161,1),(162,1),(234,1),(235,1),(289,1)}
       200:{2,3,5,7}:{(163,1),(166,1),(170,1),(236,1),(239,1),(290,1)}
       201:{1,4,7}:{(163,1),(164,1),(171,1),(236,1)}
       202:{2,4,5,7}:{(164,1),(165,1),(168,1),(172,1),(237,1),(238,1)}
       203:{3,4,6}:{(165,1),(169,1),(238,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(173,1),(236,1),(239,1),(285,1),(291,1),(311,1)}
       205:{1,3,5,7}:{(167,1),(168,1),(174,1),(230,1),(237,1),(239,1),(240,1),(290,1)}
       206:{2,3,5,6}:{(168,1),(169,1),(231,1),(238,1),(240,1),(287,1)}
       207:{2,4,6}:{(170,1),(171,1),(236,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(264,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(188,1),(243,1),(248,1),(251,1),(262,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(189,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(259,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(193,1),(251,1),(254,1),(255,1),(260,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(194,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,5}:{(186,1),(187,1),(196,1),(257,1),(258,1)}
       224:{2,3,4}:{(187,1),(258,1)}
       225:{1,3,7}:{(188,1),(189,1),(196,1),(259,1)}
       226:{2,3,4,7}:{(189,1),(191,1),(197,1),(260,1),(261,1),(267,1),(298,1)}
       227:{1,4,7}:{(190,1),(191,1),(198,1)}
       228:{2,4,5,7}:{(191,1),(192,1),(194,1),(199,1),(261,1),(262,1),(263,1),(302,1)}
       229:{1,3,4,6}:{(192,1),(195,1),(203,1),(253,1),(263,1),(269,1),(300,1),(303,1),(304,1),(314,1)}
       230:{1,5,7}:{(193,1),(194,1),(264,1)}
       231:{2,5,6}:{(194,1),(195,1),(263,1),(264,1)}
       232:{2,3,6}:{(196,1),(257,1),(259,1),(265,1)}
       233:{1,3,4,6}:{(196,1),(197,1),(198,1),(258,1),(260,1),(265,1),(266,1),(303,1)}
       234:{2,3,5}:{(197,1),(199,1),(266,1),(271,1),(313,1)}
       235:{1,4,5}:{(198,1),(199,1),(266,1)}
       236:{2,4,7}:{(200,1),(201,1),(207,1),(267,1)}
       237:{1,4,5,7}:{(201,1),(202,1),(205,1),(208,1),(268,1),(269,1)}
       238:{2,4,6}:{(202,1),(203,1),(206,1),(269,1)}
       239:{2,5,7}:{(204,1),(205,1),(209,1),(270,1)}
       240:{1,3,5,6}:{(205,1),(206,1),(264,1),(269,1),(270,1),(303,1),(304,1)}
       241:{3,4,6}:{(207,1),(267,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(288,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(225,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(224,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(285,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(230,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(231,1),(281,1),(283,1),(287,1)}
       257:{2,3,5}:{(223,1),(232,1),(284,1),(289,1)}
       258:{1,3,4}:{(223,1),(224,1),(284,1)}
       259:{2,3,7}:{(225,1),(232,1),(285,1)}
       260:{1,3,4,7}:{(225,1),(226,1),(227,1),(233,1),(285,1),(286,1)}
       261:{2,3,5,7}:{(226,1),(228,1),(234,1),(286,1),(287,1),(290,1),(309,1)}
       262:{1,4,5,7}:{(227,1),(228,1),(230,1),(235,1),(286,1),(288,1)}
       263:{2,4,6}:{(228,1),(229,1),(231,1),(287,1),(288,1),(311,1)}
       264:{1,5,6}:{(230,1),(231,1),(288,1)}
       265:{2,4,6}:{(232,1),(233,1),(284,1),(285,1),(289,1),(311,1)}
       266:{1,3,5}:{(233,1),(234,1),(235,1),(289,1)}
       267:{3,4,7}:{(236,1),(241,1),(290,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(239,1),(242,1),(290,1),(291,1)}
       269:{1,4,6}:{(237,1),(238,1),(240,1),(291,1)}
       270:{2,5,6}:{(239,1),(240,1),(291,1),(311,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(259,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(258,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(264,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4}:{(257,1),(258,1)}
       285:{2,4,7}:{(259,1),(260,1),(265,1),(302,1)}
       286:{1,3,5,7}:{(260,1),(261,1),(262,1),(266,1),(302,1),(303,1)}
       287:{2,3,6}:{(261,1),(263,1),(303,1),(304,1),(314,1)}
       288:{1,4,6}:{(262,1),(263,1),(264,1),(303,1)}
       289:{2,5}:{(265,1),(266,1)}
       290:{3,5,7}:{(267,1),(268,1),(271,1),(304,1)}
       291:{2,4,6}:{(268,1),(269,1),(270,1),(304,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(284,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(285,1),(286,1),(289,1),(311,1)}
       303:{1,3,6}:{(286,1),(287,1),(288,1),(311,1)}
       304:{3,6}:{(290,1),(291,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1177 :   0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(17,1),(19,1),(52,1),(113,1),(132,1),(133,1),(137,1),(138,1),(193,1),(206,1),(210,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(27,1),(39,1),(78,1),(80,1),(83,1),(85,1),(86,1),(143,1),(154,1),(164,1),(170,1),(174,1),(221,1),(233,1),(269,1),(278,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(35,1),(39,1),(85,1),(94,1),(100,1),(170,1),(174,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(40,1),(102,1),(103,1),(152,1),(176,1),(226,1)}
         4:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(52,1),(122,1),(193,1),(200,1),(206,1),(210,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(51,1),(56,1),(66,1),(119,1),(139,1),(181,1),(191,1),(248,1),(295,1)}
         6:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(58,1),(59,1),(130,1),(132,1),(133,1),(206,1)}
         7:{2,3,5,7}:{(2,1),(18,1),(19,1),(20,1),(65,1),(193,1),(206,1),(210,1),(256,1)}
         8:{1,4,5,7}:{(2,1),(19,1),(21,1),(50,1),(61,1),(124,1),(132,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(66,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(22,1),(23,1),(52,1),(70,1)}
        11:{1,2,4,6,7}:{(5,1),(24,1),(25,1),(34,1),(74,1),(78,1),(92,1),(158,1),(170,1),(214,1),(269,1)}
        12:{1,3,4,7}:{(4,1),(27,1),(28,1),(78,1),(157,1),(233,1),(241,1),(273,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(39,1),(85,1),(97,1),(143,1),(146,1),(173,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(176,1),(226,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(25,1),(31,1),(42,1),(85,1),(101,1),(151,1),(161,1),(164,1),(217,1),(284,1)}
        16:{2,4,6,7}:{(6,1),(9,1),(33,1),(34,1),(35,1),(92,1),(94,1),(170,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(35,1),(36,1),(96,1)}
        18:{2,3,4,7}:{(7,1),(27,1),(37,1),(38,1),(94,1),(146,1),(157,1),(229,1),(239,1),(241,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(37,1),(39,1),(40,1),(99,1),(278,1)}
        20:{2,3,6}:{(7,1),(9,1),(40,1),(176,1),(226,1),(277,1)}
        21:{1,4,6}:{(8,1),(9,1),(40,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(35,1),(42,1),(85,1)}
        23:{1,4,5,6}:{(10,1),(36,1),(43,1),(86,1),(102,1),(152,1),(178,1)}
        24:{1,3,6,7}:{(11,1),(14,1),(46,1),(47,1),(206,1),(288,1),(295,1)}
        25:{1,2,5,7}:{(11,1),(15,1),(47,1),(61,1),(112,1),(131,1),(196,1),(245,1),(296,1)}
        26:{1,3,4,5,7}:{(12,1),(48,1),(49,1),(52,1),(105,1),(113,1),(118,1),(186,1),(187,1),(193,1),(246,1),(247,1),(251,1),(288,1)}
        27:{2,4,7}:{(12,1),(13,1),(50,1),(51,1),(209,1),(250,1)}
        28:{1,3,4,6}:{(12,1),(14,1),(51,1),(52,1),(56,1),(128,1)}
        29:{1,3,5,7}:{(13,1),(50,1),(53,1),(54,1),(122,1),(124,1),(200,1)}
        30:{2,3,6}:{(13,1),(14,1),(51,1),(54,1),(66,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(47,1),(52,1),(55,1),(56,1),(200,1),(263,1),(264,1),(295,1)}
        32:{1,3,5,6,7}:{(17,1),(57,1),(58,1),(110,1),(130,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(59,1),(60,1),(130,1),(205,1),(206,1)}
        34:{1,4,6,7}:{(16,1),(21,1),(59,1),(61,1),(132,1)}
        35:{2,5,7}:{(16,1),(17,1),(22,1),(61,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(62,1),(132,1),(208,1)}
        37:{1,3,4,7}:{(18,1),(19,1),(50,1),(63,1),(64,1),(122,1),(132,1),(206,1),(258,1),(265,1)}
        38:{2,3,4,6}:{(18,1),(20,1),(51,1),(64,1),(65,1),(68,1),(128,1),(184,1),(204,1),(212,1),(250,1),(266,1)}
        39:{2,5,7}:{(19,1),(63,1),(66,1),(136,1)}
        40:{1,3,6}:{(19,1),(20,1),(21,1),(66,1),(295,1)}
        41:{2,3,5,6}:{(20,1),(22,1),(60,1),(65,1),(67,1),(68,1),(70,1),(141,1),(212,1)}
        42:{1,5,6}:{(21,1),(22,1),(61,1),(124,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(62,1),(68,1),(69,1),(70,1),(125,1),(139,1),(141,1),(191,1)}
        44:{2,3,4,7}:{(27,1),(71,1),(72,1),(73,1),(97,1),(157,1),(216,1),(229,1),(273,1),(301,1)}
        45:{1,3,4,6,7}:{(24,1),(28,1),(74,1),(75,1),(78,1),(152,1),(157,1),(226,1)}
        46:{2,3,6,7}:{(24,1),(30,1),(74,1),(76,1),(77,1),(92,1),(214,1),(226,1),(277,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(31,1),(77,1),(78,1),(278,1),(279,1)}
        48:{2,4,5,7}:{(26,1),(27,1),(71,1),(80,1),(81,1),(85,1),(143,1),(149,1),(159,1),(216,1),(221,1),(269,1)}
        49:{1,3,4,6}:{(26,1),(81,1),(82,1),(144,1),(152,1),(218,1),(219,1),(226,1),(271,1)}
        50:{1,4,7}:{(27,1),(29,1),(84,1),(233,1)}
        51:{2,4,6}:{(27,1),(28,1),(30,1),(84,1),(85,1)}
        52:{1,3,5}:{(28,1),(85,1),(86,1),(166,1)}
        53:{1,2,5,7}:{(29,1),(39,1),(83,1),(87,1),(143,1),(164,1),(278,1)}
        54:{1,3,6}:{(29,1),(30,1),(84,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(77,1),(85,1),(88,1),(89,1),(101,1),(151,1),(166,1),(173,1),(176,1),(217,1),(220,1),(226,1),(235,1),(236,1),(271,1),(277,1)}
        56:{1,4,6}:{(31,1),(78,1),(86,1),(89,1),(233,1)}
        57:{2,5,6,7}:{(32,1),(35,1),(90,1),(91,1),(151,1)}
        58:{1,4,6,7}:{(32,1),(36,1),(91,1),(152,1),(238,1)}
        59:{1,3,6,7}:{(33,1),(34,1),(40,1),(92,1),(93,1),(238,1)}
        60:{2,3,5,7}:{(33,1),(35,1),(41,1),(93,1),(94,1),(96,1),(172,1),(239,1)}
        61:{1,5,7}:{(34,1),(35,1),(42,1)}
        62:{2,4,5,7}:{(35,1),(36,1),(43,1),(91,1),(94,1),(95,1),(96,1),(170,1),(172,1)}
        63:{2,4,7}:{(37,1),(39,1),(97,1),(98,1),(285,1)}
        64:{1,3,4,6}:{(37,1),(38,1),(40,1),(84,1),(98,1),(99,1),(102,1),(163,1),(176,1),(233,1),(237,1),(241,1),(244,1),(286,1)}
        65:{2,3,5}:{(38,1),(85,1),(99,1),(100,1),(166,1),(235,1)}
        66:{2,6}:{(39,1),(40,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(42,1),(93,1),(99,1),(101,1),(102,1),(176,1),(178,1),(244,1)}
        68:{2,4,6}:{(41,1),(94,1),(100,1),(102,1),(103,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(95,1),(102,1),(104,1),(165,1),(225,1)}
        70:{3,5,6}:{(43,1),(96,1),(103,1),(166,1),(176,1),(226,1)}
        71:{2,3,5,7}:{(44,1),(48,1),(105,1),(106,1),(109,1),(193,1),(251,1),(256,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(50,1),(105,1),(107,1),(108,1),(122,1),(246,1),(258,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(51,1),(106,1),(108,1),(109,1),(128,1),(135,1),(183,1),(204,1),(209,1),(290,1),(292,1)}
        74:{2,4,6,7}:{(45,1),(46,1),(51,1),(111,1),(112,1),(116,1),(191,1)}
        75:{1,3,5,7}:{(45,1),(52,1),(110,1),(112,1),(113,1),(193,1)}
        76:{1,3,6,7}:{(46,1),(54,1),(111,1),(114,1),(115,1),(255,1)}
        77:{2,3,5,7}:{(46,1),(47,1),(55,1),(112,1),(115,1),(116,1),(131,1),(193,1),(206,1),(245,1),(256,1),(257,1),(288,1)}
        78:{1,4,7}:{(47,1),(56,1),(116,1)}
        79:{1,3,4,6,7}:{(49,1),(117,1),(118,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        80:{1,4,5,7}:{(48,1),(50,1),(105,1),(119,1),(124,1),(186,1),(196,1),(246,1)}
        81:{2,4,6}:{(48,1),(49,1),(106,1),(119,1),(120,1),(181,1)}
        82:{1,3,5,6}:{(49,1),(52,1),(118,1),(120,1),(121,1),(199,1)}
        83:{1,2,4,7}:{(50,1),(53,1),(63,1),(107,1),(122,1),(123,1),(258,1),(296,1)}
        84:{1,4,6}:{(50,1),(51,1),(54,1),(124,1)}
        85:{2,5}:{(51,1),(52,1),(124,1)}
        86:{1,4,5}:{(52,1),(56,1),(125,1),(263,1)}
        87:{1,2,6}:{(53,1),(54,1),(66,1),(181,1),(295,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(115,1),(124,1),(126,1),(127,1),(190,1),(200,1),(202,1),(203,1),(255,1)}
        89:{2,4,6}:{(55,1),(56,1),(116,1),(125,1),(127,1),(128,1),(209,1),(250,1)}
        90:{1,5,6,7}:{(57,1),(61,1),(129,1),(190,1)}
        91:{2,4,6,7}:{(57,1),(58,1),(62,1),(129,1),(130,1),(191,1),(205,1)}
        92:{2,6,7}:{(59,1),(66,1),(131,1)}
        93:{1,3,5,7}:{(59,1),(60,1),(61,1),(67,1),(131,1),(132,1),(206,1),(208,1),(265,1)}
        94:{2,4,7}:{(60,1),(68,1),(132,1),(133,1)}
        95:{1,4,5,7}:{(61,1),(62,1),(69,1),(129,1),(132,1),(134,1)}
        96:{3,5,7}:{(62,1),(70,1),(130,1),(133,1),(206,1)}
        97:{2,3,7}:{(63,1),(122,1),(135,1),(206,1)}
        98:{2,4,6}:{(63,1),(64,1),(66,1),(135,1),(136,1),(209,1),(268,1),(300,1)}
        99:{1,3,5}:{(64,1),(65,1),(124,1),(136,1),(137,1),(210,1),(263,1)}
       100:{2,4,5}:{(65,1),(68,1),(137,1),(138,1),(250,1)}
       101:{2,5,6}:{(66,1),(67,1),(131,1),(136,1),(139,1),(268,1)}
       102:{1,4,6}:{(67,1),(68,1),(132,1),(137,1),(139,1)}
       103:{3,4,6}:{(68,1),(70,1),(133,1),(138,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(134,1),(140,1),(141,1),(202,1),(255,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(80,1),(143,1),(144,1),(148,1),(278,1)}
       106:{2,3,6}:{(71,1),(81,1),(144,1),(226,1),(271,1),(277,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(84,1),(144,1),(147,1),(148,1),(163,1),(218,1),(233,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(85,1),(148,1),(149,1),(166,1),(235,1)}
       110:{1,3,5,6}:{(75,1),(151,1),(152,1),(226,1)}
       111:{1,4,6,7}:{(74,1),(76,1),(84,1),(153,1),(156,1),(225,1)}
       112:{2,5,7}:{(74,1),(75,1),(85,1),(151,1),(153,1)}
       113:{1,4,5,7}:{(75,1),(78,1),(86,1),(152,1),(154,1),(278,1)}
       114:{1,2,6,7}:{(76,1),(87,1),(92,1),(155,1),(214,1),(238,1),(277,1),(306,1)}
       115:{1,3,5,7}:{(76,1),(77,1),(88,1),(153,1),(155,1),(156,1),(228,1)}
       116:{2,4,7}:{(77,1),(78,1),(89,1),(156,1),(157,1)}
       117:{2,4,6,7}:{(79,1),(81,1),(142,1),(158,1),(159,1),(214,1),(216,1),(269,1)}
       118:{1,3,5,7}:{(79,1),(82,1),(159,1),(160,1),(231,1)}
       119:{1,4,6}:{(80,1),(81,1),(144,1),(161,1)}
       120:{2,5,6}:{(81,1),(82,1),(85,1),(159,1),(161,1)}
       121:{1,4,5,6}:{(82,1),(86,1),(152,1),(160,1),(162,1),(218,1),(281,1)}
       122:{1,3,7}:{(83,1),(97,1),(146,1),(163,1)}
       123:{1,2,4,6}:{(83,1),(84,1),(87,1),(98,1),(147,1),(163,1),(164,1),(233,1),(237,1),(284,1),(307,1)}
       124:{1,5}:{(84,1),(85,1)}
       125:{2,4,5}:{(85,1),(86,1),(89,1),(165,1),(166,1),(235,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(101,1),(155,1),(164,1),(167,1),(178,1),(217,1),(235,1),(277,1),(281,1)}
       127:{1,4,6}:{(88,1),(89,1),(156,1),(165,1),(233,1)}
       128:{3,4,6}:{(89,1),(157,1),(166,1),(176,1),(226,1),(241,1),(271,1),(273,1)}
       129:{1,4,6,7}:{(90,1),(91,1),(95,1),(169,1),(225,1)}
       130:{3,6,7}:{(91,1),(96,1),(226,1)}
       131:{2,5,7}:{(92,1),(93,1),(101,1),(170,1),(285,1)}
       132:{1,4,7}:{(93,1),(94,1),(102,1),(170,1)}
       133:{3,4,7}:{(94,1),(96,1),(103,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(104,1),(169,1),(171,1),(172,1)}
       135:{2,3,6}:{(97,1),(98,1),(163,1),(173,1),(176,1),(308,1)}
       136:{2,5}:{(98,1),(99,1)}
       137:{1,4,5}:{(99,1),(100,1),(102,1),(174,1),(233,1)}
       138:{3,4,5}:{(100,1),(103,1),(166,1),(273,1)}
       139:{2,4,6}:{(101,1),(102,1),(170,1),(174,1),(176,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(104,1),(171,1),(175,1),(176,1),(177,1),(244,1)}
       141:{2,5,6}:{(104,1),(172,1),(177,1),(178,1),(235,1),(277,1)}
       142:{2,3,6,7}:{(106,1),(117,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(119,1),(181,1),(295,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(120,1),(180,1),(182,1),(183,1),(199,1),(260,1),(290,1)}
       146:{2,3,7}:{(107,1),(122,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(124,1),(185,1),(186,1),(251,1),(263,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(209,1)}
       150:{1,3,5,6,7}:{(110,1),(118,1),(188,1),(189,1),(254,1)}
       151:{2,5,6}:{(110,1),(112,1),(190,1),(191,1)}
       152:{1,4,6}:{(110,1),(113,1),(191,1),(295,1)}
       153:{1,5,7}:{(111,1),(112,1),(124,1),(190,1)}
       154:{2,4,5,7}:{(112,1),(113,1),(116,1),(125,1),(191,1),(192,1),(193,1),(256,1)}
       155:{1,2,5,7}:{(114,1),(115,1),(126,1),(131,1),(194,1),(208,1),(245,1),(256,1),(297,1)}
       156:{1,4,7}:{(115,1),(116,1),(127,1)}
       157:{3,4,7}:{(116,1),(128,1),(193,1),(206,1),(288,1)}
       158:{1,4,6,7}:{(117,1),(119,1),(179,1),(196,1),(246,1)}
       159:{2,5,7}:{(117,1),(118,1),(120,1),(196,1)}
       160:{1,4,5,7}:{(118,1),(121,1),(189,1),(197,1),(246,1),(297,1)}
       161:{1,5,6}:{(119,1),(120,1),(124,1),(196,1)}
       162:{2,4,5,6}:{(120,1),(121,1),(125,1),(183,1),(191,1),(197,1),(198,1),(199,1),(248,1),(260,1)}
       163:{1,3,6}:{(122,1),(123,1),(135,1),(184,1),(200,1),(312,1)}
       164:{1,2,5}:{(123,1),(124,1),(136,1),(185,1),(200,1),(263,1)}
       165:{1,4,5}:{(124,1),(125,1),(127,1),(202,1)}
       166:{3,5}:{(125,1),(128,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(139,1),(194,1),(201,1),(203,1),(204,1),(213,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(195,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6,7}:{(129,1),(130,1),(134,1),(205,1),(255,1)}
       170:{2,4,7}:{(131,1),(132,1),(139,1),(206,1)}
       171:{1,3,4,7}:{(132,1),(133,1),(134,1),(140,1),(206,1),(207,1),(265,1)}
       172:{2,5,7}:{(134,1),(141,1),(205,1),(207,1),(208,1)}
       173:{2,3,5}:{(135,1),(136,1),(200,1),(209,1),(210,1)}
       174:{2,4,5}:{(136,1),(137,1),(139,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(137,1),(138,1),(140,1),(202,1),(210,1),(211,1),(261,1),(267,1)}
       176:{3,6}:{(139,1),(206,1),(210,1)}
       177:{2,4,6}:{(140,1),(141,1),(207,1),(211,1),(212,1),(213,1),(268,1)}
       178:{1,5,6}:{(141,1),(208,1),(213,1),(263,1),(295,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(158,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(159,1),(215,1),(216,1),(231,1),(280,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(161,1),(215,1),(217,1),(218,1),(271,1),(281,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(163,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(233,1)}
       187:{3,4,5}:{(149,1),(166,1),(219,1),(241,1)}
       188:{2,5,6,7}:{(150,1),(151,1),(159,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(152,1),(160,1),(224,1),(306,1)}
       190:{1,5,6}:{(151,1),(153,1),(225,1)}
       191:{2,4,6}:{(151,1),(152,1),(154,1),(225,1),(226,1),(277,1)}
       192:{1,4,5,7}:{(153,1),(154,1),(156,1),(165,1),(225,1),(227,1)}
       193:{3,5,7}:{(154,1),(157,1),(166,1),(226,1)}
       194:{1,2,4,7}:{(155,1),(156,1),(167,1),(170,1),(228,1),(229,1),(240,1),(269,1),(285,1),(302,1),(313,1)}
       195:{1,3,4,7}:{(156,1),(157,1),(168,1),(227,1),(228,1),(229,1)}
       196:{1,5,7}:{(158,1),(159,1),(161,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(216,1),(224,1),(230,1),(231,1),(269,1),(280,1)}
       198:{1,4,5,6}:{(161,1),(162,1),(165,1),(218,1),(225,1),(230,1),(232,1)}
       199:{3,5,6}:{(162,1),(166,1),(219,1),(226,1),(231,1),(271,1)}
       200:{1,3,5}:{(163,1),(164,1),(173,1),(220,1),(233,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(167,1),(174,1),(221,1),(233,1),(234,1),(235,1),(243,1),(275,1),(282,1),(287,1),(305,1),(307,1)}
       202:{1,3,5}:{(165,1),(166,1),(168,1),(235,1)}
       203:{1,3,6}:{(167,1),(176,1),(228,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(229,1),(235,1),(236,1),(237,1),(277,1),(282,1)}
       205:{2,6,7}:{(169,1),(172,1),(238,1),(277,1)}
       206:{3,7}:{(170,1),(176,1)}
       207:{2,4,7}:{(171,1),(172,1),(177,1),(239,1),(240,1),(285,1)}
       208:{1,5,7}:{(172,1),(178,1),(238,1),(240,1)}
       209:{2,4}:{(173,1),(233,1),(241,1)}
       210:{3,5}:{(174,1),(176,1),(241,1)}
       211:{2,4,5}:{(175,1),(177,1),(235,1),(242,1),(243,1),(282,1),(287,1)}
       212:{2,3,6}:{(176,1),(177,1),(239,1),(242,1),(244,1)}
       213:{1,4,6}:{(177,1),(178,1),(240,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(196,1),(245,1),(246,1),(288,1),(297,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(199,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(200,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(202,1),(249,1),(251,1),(252,1),(261,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(197,1),(253,1),(254,1),(294,1)}
       225:{1,4,6}:{(190,1),(191,1),(192,1),(255,1)}
       226:{3,6}:{(191,1),(193,1)}
       227:{1,3,5,7}:{(192,1),(193,1),(195,1),(202,1),(255,1),(256,1)}
       228:{1,3,7}:{(194,1),(203,1),(206,1),(257,1),(288,1)}
       229:{2,4,7}:{(195,1),(204,1),(256,1),(257,1),(258,1)}
       230:{1,4,5,7}:{(196,1),(197,1),(198,1),(246,1),(253,1),(259,1)}
       231:{3,5,7}:{(197,1),(199,1),(247,1),(254,1),(288,1)}
       232:{1,3,5,6}:{(198,1),(199,1),(202,1),(249,1),(255,1),(259,1),(260,1)}
       233:{1,4}:{(200,1),(209,1),(250,1)}
       234:{1,3,5}:{(201,1),(203,1),(210,1),(251,1),(261,1),(262,1),(312,1)}
       235:{2,5}:{(202,1),(204,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(257,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(258,1),(263,1),(264,1),(295,1),(298,1)}
       238:{1,6,7}:{(205,1),(208,1),(295,1)}
       239:{2,3,7}:{(206,1),(207,1),(212,1),(265,1)}
       240:{1,4,7}:{(207,1),(208,1),(213,1),(265,1)}
       241:{3,4}:{(209,1),(210,1)}
       242:{2,3,5}:{(210,1),(211,1),(212,1),(266,1),(267,1)}
       243:{1,4,5}:{(211,1),(213,1),(263,1),(267,1),(298,1)}
       244:{1,3,6}:{(212,1),(213,1),(265,1),(267,1),(268,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(231,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(232,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(233,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(235,1),(272,1),(274,1),(275,1),(282,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(230,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(231,1)}
       255:{1,3,6}:{(225,1),(226,1),(227,1),(277,1)}
       256:{2,5,7}:{(227,1),(229,1),(235,1),(277,1),(278,1)}
       257:{2,3,7}:{(228,1),(229,1),(236,1),(279,1),(285,1),(313,1)}
       258:{1,4,7}:{(229,1),(237,1),(278,1),(279,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(232,1),(270,1),(276,1),(280,1)}
       260:{2,5,6}:{(232,1),(235,1),(272,1),(277,1),(280,1),(281,1)}
       261:{1,3,4}:{(233,1),(234,1),(241,1),(273,1),(282,1)}
       262:{2,3,5}:{(234,1),(235,1),(236,1),(282,1),(283,1),(287,1),(305,1),(308,1),(314,1)}
       263:{1,5}:{(235,1),(237,1)}
       264:{1,3,6}:{(236,1),(237,1),(279,1),(283,1),(284,1)}
       265:{1,3,7}:{(239,1),(240,1),(244,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(282,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(285,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(259,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(260,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(263,1),(291,1),(293,1),(298,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(259,1),(294,1)}
       277:{2,6}:{(255,1),(256,1),(295,1)}
       278:{1,5,7}:{(256,1),(258,1),(263,1),(295,1)}
       279:{1,3,7}:{(257,1),(258,1),(264,1),(296,1)}
       280:{2,5,7}:{(259,1),(260,1),(289,1),(294,1),(297,1)}
       281:{1,5,6}:{(260,1),(263,1),(291,1),(295,1),(297,1)}
       282:{2,4}:{(261,1),(262,1),(298,1)}
       283:{1,3,5}:{(262,1),(263,1),(264,1),(298,1),(299,1),(312,1)}
       284:{1,2,6}:{(264,1),(268,1),(296,1),(299,1),(310,1)}
       285:{2,7}:{(265,1),(268,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(280,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(281,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(282,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(280,1),(306,1)}
       295:{1,6}:{(277,1),(278,1)}
       296:{1,2,7}:{(279,1),(284,1),(285,1),(313,1)}
       297:{1,5,7}:{(280,1),(281,1),(302,1),(306,1)}
       298:{1,4}:{(282,1),(283,1)}
       299:{1,2,5}:{(283,1),(284,1),(287,1),(305,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(297,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(298,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(297,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1178 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1179 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1180 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(6,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(5,1),(7,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(84,1),(121,1)}
         5:{3,4,6,7}:{(2,1),(3,1),(12,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(115,1)}
         7:{2,4,5,7}:{(3,1),(4,1),(12,1),(14,1),(15,1),(96,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(11,1),(14,1),(16,1)}
         9:{1,4,5,6}:{(4,1),(15,1),(16,1),(17,1),(67,1),(116,1)}
        10:{2,3,4,5}:{(11,1),(18,1),(69,1),(100,1)}
        11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(73,1),(84,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(7,1),(21,1),(22,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(23,1),(106,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(19,1),(21,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(9,1),(22,1),(24,1),(25,1),(81,1),(106,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(20,1),(24,1),(26,1),(27,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(26,1),(27,1),(51,1),(79,1),(107,1)}
        18:{1,3,4,5}:{(10,1),(20,1),(28,1),(52,1),(53,1),(85,1)}
        19:{2,3,4,7}:{(11,1),(14,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(16,1),(18,1),(29,1),(30,1),(38,1),(57,1),(67,1)}
        21:{2,3,6,7}:{(12,1),(14,1),(31,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(15,1),(31,1),(32,1)}
        23:{2,5,6,7}:{(13,1),(32,1),(33,1),(94,1)}
        24:{1,3,5,7}:{(14,1),(15,1),(16,1),(29,1),(31,1),(34,1),(35,1)}
        25:{2,4,5,7}:{(15,1),(17,1),(32,1),(34,1),(35,1),(62,1),(64,1),(94,1)}
        26:{2,5,6}:{(16,1),(30,1),(34,1)}
        27:{3,5,6}:{(17,1),(35,1),(38,1)}
        28:{2,4,5}:{(18,1),(30,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(24,1),(41,1),(49,1),(71,1),(81,1)}
        30:{2,4,6}:{(20,1),(26,1),(28,1),(41,1),(43,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1)}
        32:{2,4,6,7}:{(22,1),(23,1),(25,1),(44,1),(45,1),(46,1)}
        33:{3,5,6,7}:{(23,1),(45,1),(46,1),(78,1)}
        34:{2,5,7}:{(24,1),(26,1),(41,1),(44,1)}
        35:{3,5,7}:{(25,1),(27,1),(45,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(42,1),(47,1),(50,1),(104,1),(119,1)}
        37:{2,3,5,6}:{(26,1),(27,1),(43,1),(48,1),(50,1),(51,1),(75,1),(103,1),(107,1)}
        38:{3,4,6}:{(27,1),(49,1),(51,1),(52,1)}
        39:{1,2,4,5}:{(28,1),(42,1),(53,1),(85,1),(86,1),(104,1)}
        40:{2,3,5}:{(28,1),(43,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(34,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(36,1),(39,1),(55,1),(57,1),(67,1),(90,1)}
        43:{2,3,6}:{(30,1),(40,1),(56,1),(57,1)}
        44:{2,6,7}:{(31,1),(34,1)}
        45:{3,6,7}:{(32,1),(35,1)}
        46:{4,6,7}:{(33,1),(62,1)}
        47:{1,2,5,7}:{(34,1),(36,1),(55,1),(59,1),(63,1),(112,1)}
        48:{2,3,5,7}:{(34,1),(35,1),(37,1),(56,1),(60,1),(63,1),(64,1),(94,1)}
        49:{3,4,7}:{(35,1),(38,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(57,1),(63,1),(66,1),(67,1),(91,1),(113,1),(116,1)}
        51:{2,4,6}:{(37,1),(38,1),(64,1),(67,1),(68,1)}
        52:{3,4,5}:{(38,1),(68,1)}
        53:{1,3,5}:{(39,1),(40,1),(57,1),(69,1),(70,1)}
        54:{2,3,4}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(47,1),(71,1),(81,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(53,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(51,1),(54,1),(72,1),(74,1),(75,1),(103,1)}
        59:{1,2,6,7}:{(44,1),(47,1),(76,1),(119,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(77,1),(103,1)}
        61:{3,4,6,7}:{(45,1),(46,1),(49,1),(77,1),(78,1),(83,1)}
        62:{4,5,7}:{(46,1),(78,1),(79,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(71,1),(76,1),(80,1),(81,1),(106,1)}
        64:{2,4,7}:{(48,1),(49,1),(51,1),(81,1)}
        65:{3,4,5,7}:{(49,1),(52,1),(78,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(50,1),(73,1),(80,1),(84,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        67:{1,4,6}:{(50,1),(51,1),(81,1),(84,1),(85,1)}
        68:{2,4,5}:{(51,1),(52,1),(75,1),(85,1)}
        69:{2,3,5}:{(53,1),(73,1),(86,1),(104,1)}
        70:{1,3,4}:{(53,1),(54,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(64,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(69,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(67,1),(70,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(68,1),(91,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(63,1),(92,1),(93,1),(113,1)}
        77:{2,4,6,7}:{(60,1),(61,1),(64,1),(93,1),(94,1),(98,1)}
        78:{3,5,7}:{(61,1),(62,1),(94,1),(95,1)}
        79:{4,5,6}:{(62,1),(95,1)}
        80:{2,3,5,7}:{(63,1),(66,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(96,1)}
        82:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(94,1),(97,1),(98,1)}
        83:{3,4,6}:{(65,1),(95,1),(98,1)}
        84:{2,4,6}:{(66,1),(67,1),(96,1),(99,1),(100,1)}
        85:{1,4,5}:{(67,1),(68,1),(91,1),(100,1)}
        86:{2,4}:{(69,1),(70,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(81,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(82,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(86,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(85,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(76,1),(80,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(76,1),(77,1),(81,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(77,1),(78,1),(106,1),(107,1)}
        95:{3,5,6}:{(78,1),(79,1),(83,1),(107,1)}
        96:{2,4,7}:{(80,1),(81,1),(84,1),(108,1)}
        97:{1,4,5,7}:{(81,1),(82,1),(85,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(82,1),(83,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(84,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(84,1),(85,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1181 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(72,1),(73,1),(218,1),(219,1),(228,1),(271,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(37,1),(51,1),(99,1),(107,1),(174,1),(247,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(53,1),(89,1),(99,1),(106,1),(180,1),(257,1),(264,1),(302,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(108,1),(112,1),(183,1),(184,1),(186,1),(193,1),(239,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(53,1),(302,1),(303,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(28,1),(64,1),(72,1),(73,1),(144,1)}
         7:{3,4,6}:{(1,1),(19,1),(20,1),(281,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(27,1),(66,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(22,1),(25,1),(26,1),(291,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(31,1),(60,1),(76,1),(83,1),(86,1),(125,1),(128,1),(136,1),(146,1),(148,1),(223,1),(224,1),(231,1),(274,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(144,1),(221,1),(230,1),(273,1)}
        13:{1,2,5,7}:{(5,1),(22,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(83,1),(86,1),(274,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(89,1),(264,1),(265,1)}
        17:{3,4,6,7}:{(7,1),(36,1),(37,1),(95,1),(107,1),(169,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(38,1),(39,1),(50,1),(53,1),(89,1),(97,1),(106,1),(118,1),(162,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(39,1),(40,1)}
        20:{3,5,6}:{(7,1),(37,1),(40,1),(41,1),(174,1)}
        21:{2,3,6,7}:{(9,1),(36,1),(42,1),(43,1),(169,1),(245,1)}
        22:{2,5,7}:{(8,1),(10,1),(45,1),(49,1)}
        23:{1,3,6}:{(8,1),(9,1),(39,1),(45,1),(100,1),(322,1),(347,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(40,1),(43,1),(46,1),(47,1),(103,1),(177,1),(184,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(180,1)}
        26:{2,4,6}:{(10,1),(11,1),(45,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(118,1),(162,1),(174,1),(266,1),(304,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(44,1),(53,1),(54,1),(56,1),(118,1)}
        30:{1,2,6}:{(13,1),(45,1),(54,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(118,1),(304,1)}
        33:{1,2,5,7}:{(16,1),(22,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(125,1),(128,1),(231,1),(232,1),(233,1)}
        36:{2,4,6,7}:{(17,1),(19,1),(21,1),(63,1),(64,1),(72,1)}
        37:{3,5,7}:{(17,1),(20,1),(64,1),(65,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(66,1),(67,1),(73,1),(79,1),(133,1),(142,1),(144,1),(209,1),(212,1)}
        39:{1,4,6}:{(18,1),(19,1),(23,1),(67,1),(68,1)}
        40:{2,5,6}:{(19,1),(20,1),(64,1),(68,1),(144,1)}
        41:{4,5,6}:{(20,1),(65,1),(212,1),(281,1)}
        42:{1,3,6,7}:{(21,1),(23,1),(63,1),(70,1),(71,1),(132,1),(280,1)}
        43:{2,3,5,7}:{(21,1),(24,1),(64,1),(71,1),(72,1),(135,1),(211,1),(219,1)}
        44:{2,3,5,7}:{(22,1),(25,1),(29,1),(58,1),(66,1),(73,1),(74,1),(78,1),(144,1)}
        45:{2,6}:{(22,1),(23,1)}
        46:{1,3,5,6}:{(23,1),(24,1),(27,1),(68,1),(71,1),(75,1),(76,1),(137,1),(146,1),(215,1),(223,1)}
        47:{2,4,6}:{(24,1),(28,1),(72,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(146,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(76,1),(79,1),(86,1),(128,1),(212,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(221,1),(391,1)}
        52:{1,2,6,7}:{(30,1),(70,1),(81,1),(82,1),(280,1),(295,1),(334,1),(363,1)}
        53:{1,4,7}:{(29,1),(73,1),(83,1),(86,1)}
        54:{1,3,6}:{(29,1),(30,1),(74,1),(83,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(75,1),(82,1),(84,1),(85,1),(215,1),(230,1),(275,1),(287,1),(295,1),(329,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(154,1),(157,1),(225,1),(230,1),(276,1),(329,1),(338,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(44,1),(89,1),(90,1),(92,1),(162,1)}
        59:{1,2,6}:{(33,1),(45,1),(90,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(162,1),(266,1)}
        62:{3,5,6,7}:{(37,1),(94,1),(95,1),(169,1),(246,1),(378,1)}
        63:{1,4,6,7}:{(36,1),(39,1),(42,1),(96,1),(97,1),(106,1)}
        64:{2,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        65:{4,5,7}:{(37,1),(41,1),(95,1)}
        66:{3,5,7}:{(38,1),(99,1),(100,1),(113,1),(174,1),(180,1)}
        67:{2,4,6}:{(38,1),(39,1),(45,1),(100,1),(101,1),(175,1)}
        68:{1,5,6}:{(39,1),(40,1),(97,1),(101,1),(118,1),(162,1)}
        69:{2,4,5,6}:{(40,1),(41,1),(47,1),(98,1),(102,1),(103,1),(177,1),(182,1),(254,1),(316,1),(377,1),(389,1)}
        70:{2,6,7}:{(42,1),(45,1),(105,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(46,1),(97,1),(105,1),(106,1),(171,1),(180,1),(250,1),(257,1)}
        72:{2,4,7}:{(43,1),(47,1),(106,1),(107,1)}
        73:{2,4,7}:{(44,1),(53,1),(89,1),(99,1),(108,1),(112,1)}
        74:{2,3,6}:{(44,1),(45,1),(54,1),(90,1),(100,1),(108,1)}
        75:{2,5,6}:{(45,1),(46,1),(49,1),(105,1),(110,1),(260,1)}
        76:{1,4,6}:{(46,1),(47,1),(50,1),(106,1),(110,1),(175,1)}
        77:{3,4,6}:{(47,1),(51,1),(103,1),(107,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(110,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(111,1),(113,1),(114,1),(121,1),(165,1),(187,1),(192,1),(238,1),(251,1),(315,1),(357,1)}
        81:{1,3,6,7}:{(52,1),(54,1),(104,1),(115,1),(116,1),(262,1),(347,1),(375,1)}
        82:{1,2,5,7}:{(52,1),(55,1),(105,1),(116,1),(117,1),(250,1),(263,1),(303,1),(314,1)}
        83:{1,4,6}:{(53,1),(54,1),(108,1),(118,1)}
        84:{1,3,5,6}:{(54,1),(55,1),(56,1),(109,1),(116,1),(118,1),(119,1),(120,1),(188,1),(192,1),(240,1),(262,1),(304,1),(347,1),(350,1),(375,1),(388,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(110,1),(117,1),(119,1),(120,1),(185,1),(193,1),(260,1),(316,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(357,1)}
        88:{1,2,6,7}:{(59,1),(70,1),(123,1),(124,1),(280,1),(326,1),(334,1),(344,1)}
        89:{1,4,7}:{(58,1),(73,1),(125,1),(128,1)}
        90:{1,3,6}:{(58,1),(59,1),(74,1),(125,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(75,1),(124,1),(126,1),(127,1),(215,1),(232,1),(273,1),(287,1),(298,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(200,1),(203,1),(225,1),(233,1),(273,1),(298,1),(338,1),(346,1)}
        94:{2,5,6,7}:{(62,1),(64,1),(130,1),(131,1),(216,1),(367,1)}
        95:{4,6,7}:{(62,1),(65,1),(281,1),(385,1)}
        96:{2,4,6,7}:{(63,1),(67,1),(70,1),(132,1),(133,1),(142,1),(209,1)}
        97:{1,5,7}:{(63,1),(64,1),(68,1),(133,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(131,1),(134,1),(135,1),(211,1),(337,1),(367,1),(385,1)}
        99:{3,4,7}:{(66,1),(73,1),(136,1),(148,1),(209,1)}
       100:{3,6}:{(66,1),(67,1)}
       101:{2,5,6}:{(67,1),(68,1),(133,1),(137,1),(144,1)}
       102:{1,4,5,6}:{(68,1),(69,1),(76,1),(134,1),(138,1),(139,1),(154,1),(200,1),(215,1),(226,1),(269,1),(286,1),(366,1)}
       103:{3,5,6}:{(69,1),(77,1),(135,1),(221,1),(288,1),(339,1)}
       104:{2,3,6,7}:{(70,1),(74,1),(81,1),(123,1),(132,1),(140,1),(141,1),(288,1),(295,1),(326,1),(334,1),(368,1),(372,1)}
       105:{2,5,7}:{(70,1),(71,1),(75,1),(142,1),(291,1)}
       106:{1,4,7}:{(71,1),(72,1),(76,1),(142,1),(209,1)}
       107:{3,4,7}:{(72,1),(77,1),(135,1),(385,1)}
       108:{2,4,6}:{(73,1),(74,1),(83,1),(125,1),(136,1),(144,1)}
       109:{2,3,5,6}:{(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(141,1),(144,1),(145,1),(146,1),(156,1),(202,1),(216,1),(221,1),(230,1),(273,1),(287,1),(288,1),(295,1),(326,1),(339,1),(343,1),(372,1),(384,1),(387,1)}
       110:{2,4,6}:{(75,1),(76,1),(79,1),(142,1),(146,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(80,1),(139,1),(143,1),(146,1),(147,1),(213,1),(223,1),(286,1),(339,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(146,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(230,1),(273,1)}
       115:{1,4,6,7}:{(81,1),(83,1),(140,1),(151,1),(152,1),(226,1),(383,1)}
       116:{1,3,5,7}:{(81,1),(82,1),(84,1),(141,1),(151,1),(152,1),(153,1),(272,1),(327,1)}
       117:{1,2,4,7}:{(82,1),(85,1),(142,1),(152,1),(153,1),(220,1),(228,1),(291,1),(337,1)}
       118:{1,5}:{(83,1),(144,1)}
       119:{1,4,6}:{(84,1),(86,1),(145,1),(152,1),(154,1),(365,1)}
       120:{1,3,6}:{(85,1),(87,1),(146,1),(153,1),(156,1),(339,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(371,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(230,1),(294,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(104,1),(159,1),(160,1),(300,1),(322,1),(361,1)}
       124:{1,2,5,7}:{(88,1),(91,1),(105,1),(160,1),(161,1),(250,1),(265,1),(301,1),(314,1)}
       125:{1,4,6}:{(89,1),(90,1),(108,1),(162,1)}
       126:{1,3,5,6}:{(90,1),(91,1),(92,1),(109,1),(160,1),(162,1),(163,1),(164,1),(194,1),(234,1),(238,1),(266,1),(300,1),(322,1),(325,1),(361,1),(382,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(110,1),(161,1),(163,1),(164,1),(185,1),(239,1),(260,1),(316,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(357,1)}
       130:{1,5,6,7}:{(94,1),(97,1),(167,1),(168,1),(188,1),(234,1),(352,1)}
       131:{2,4,6,7}:{(94,1),(95,1),(98,1),(168,1),(169,1),(245,1),(254,1)}
       132:{3,6,7}:{(96,1),(100,1),(171,1),(180,1)}
       133:{2,5,7}:{(96,1),(97,1),(101,1),(171,1)}
       134:{1,4,5,7}:{(97,1),(98,1),(102,1),(106,1),(168,1),(172,1),(173,1),(250,1),(313,1),(352,1)}
       135:{3,5,7}:{(98,1),(103,1),(107,1),(169,1),(356,1)}
       136:{3,4,6}:{(99,1),(100,1),(108,1),(174,1),(175,1)}
       137:{3,5,6}:{(100,1),(101,1),(171,1),(174,1),(175,1)}
       138:{2,4,5,6}:{(101,1),(102,1),(110,1),(172,1),(175,1),(176,1),(177,1),(182,1),(252,1),(254,1),(307,1),(351,1)}
       139:{1,3,5,6}:{(102,1),(103,1),(111,1),(173,1),(176,1),(177,1),(192,1),(238,1),(262,1),(300,1)}
       140:{2,4,6,7}:{(104,1),(108,1),(115,1),(159,1),(170,1),(178,1),(179,1),(254,1),(381,1)}
       141:{2,3,5,7}:{(104,1),(105,1),(109,1),(116,1),(160,1),(171,1),(178,1),(179,1),(180,1),(191,1),(237,1),(255,1),(263,1),(301,1),(314,1),(356,1),(378,1)}
       142:{2,4,7}:{(105,1),(106,1),(110,1),(180,1)}
       143:{1,3,4,7}:{(106,1),(107,1),(111,1),(173,1),(180,1),(181,1),(248,1),(257,1),(313,1),(356,1)}
       144:{2,5}:{(108,1),(118,1),(162,1),(174,1)}
       145:{2,4,6}:{(109,1),(112,1),(119,1),(163,1),(175,1),(179,1),(182,1),(183,1),(360,1),(389,1)}
       146:{3,6}:{(110,1),(113,1),(180,1)}
       147:{2,4,6}:{(111,1),(114,1),(177,1),(181,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(184,1),(186,1),(187,1),(357,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(266,1),(304,1)}
       151:{1,5,7}:{(115,1),(118,1),(178,1),(188,1),(388,1)}
       152:{1,4,7}:{(116,1),(119,1),(179,1)}
       153:{1,3,7}:{(117,1),(120,1),(180,1),(191,1),(356,1)}
       154:{1,4,5}:{(118,1),(119,1),(182,1),(192,1),(304,1),(388,1)}
       155:{1,3,4,6}:{(119,1),(120,1),(121,1),(183,1),(190,1),(192,1),(193,1),(262,1)}
       156:{2,3,6}:{(120,1),(122,1),(191,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(266,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(125,1),(140,1),(197,1),(198,1),(269,1),(374,1)}
       160:{1,3,5,7}:{(123,1),(124,1),(126,1),(141,1),(197,1),(198,1),(199,1),(229,1),(296,1)}
       161:{1,2,4,7}:{(124,1),(127,1),(142,1),(198,1),(199,1),(220,1),(271,1),(291,1),(337,1)}
       162:{1,5}:{(125,1),(144,1)}
       163:{1,4,6}:{(126,1),(128,1),(145,1),(198,1),(200,1),(346,1)}
       164:{1,3,6}:{(127,1),(129,1),(146,1),(199,1),(202,1),(339,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(371,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(273,1),(294,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(205,1),(206,1),(216,1),(332,1)}
       168:{1,4,6,7}:{(130,1),(131,1),(134,1),(206,1),(207,1),(226,1),(269,1),(280,1)}
       169:{3,6,7}:{(131,1),(135,1),(288,1)}
       170:{3,4,6,7}:{(132,1),(136,1),(140,1),(208,1),(209,1),(218,1),(281,1),(288,1),(368,1),(385,1),(386,1)}
       171:{3,5,7}:{(132,1),(133,1),(137,1),(209,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(138,1),(142,1),(206,1),(209,1),(210,1),(211,1),(277,1),(283,1),(332,1)}
       173:{1,3,5,7}:{(134,1),(135,1),(139,1),(143,1),(207,1),(210,1),(211,1)}
       174:{3,5}:{(136,1),(144,1),(212,1)}
       175:{4,6}:{(137,1),(209,1),(212,1)}
       176:{3,5,6}:{(138,1),(146,1),(210,1),(213,1),(221,1),(288,1)}
       177:{2,5,6}:{(139,1),(147,1),(211,1),(215,1),(230,1),(273,1),(295,1),(326,1)}
       178:{2,5,7}:{(140,1),(144,1),(151,1),(197,1),(208,1),(216,1),(387,1)}
       179:{2,4,7}:{(141,1),(145,1),(152,1),(198,1),(209,1),(218,1),(385,1)}
       180:{3,7}:{(142,1),(146,1)}
       181:{2,4,7}:{(143,1),(147,1),(211,1),(219,1),(220,1),(291,1)}
       182:{2,4,5}:{(144,1),(145,1),(154,1),(200,1),(212,1),(221,1),(230,1),(273,1),(387,1),(391,1)}
       183:{3,4,6}:{(145,1),(146,1),(148,1),(218,1),(221,1),(288,1),(339,1),(371,1)}
       184:{2,3,6}:{(146,1),(147,1),(149,1),(219,1),(223,1),(339,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(220,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(371,1)}
       187:{1,3,5}:{(149,1),(150,1),(223,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,4,7}:{(152,1),(153,1),(155,1),(218,1),(227,1),(228,1)}
       191:{2,3,7}:{(153,1),(156,1),(228,1),(229,1),(291,1)}
       192:{1,3,5}:{(154,1),(155,1),(221,1),(230,1)}
       193:{2,4,6}:{(155,1),(156,1),(157,1),(228,1),(230,1),(231,1),(295,1)}
       194:{1,3,6}:{(156,1),(158,1),(229,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(162,1),(178,1),(234,1),(382,1)}
       198:{1,4,7}:{(160,1),(163,1),(179,1)}
       199:{1,3,7}:{(161,1),(164,1),(180,1),(237,1),(356,1)}
       200:{1,4,5}:{(162,1),(163,1),(182,1),(238,1),(266,1),(382,1)}
       201:{1,3,4,6}:{(163,1),(164,1),(165,1),(183,1),(236,1),(238,1),(239,1),(300,1)}
       202:{2,3,6}:{(164,1),(166,1),(237,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(304,1),(306,1)}
       205:{3,5,6,7}:{(167,1),(171,1),(243,1),(244,1),(246,1),(308,1)}
       206:{2,4,6,7}:{(167,1),(168,1),(172,1),(243,1),(244,1),(245,1),(254,1)}
       207:{1,3,6,7}:{(168,1),(169,1),(173,1),(244,1),(245,1),(262,1),(300,1)}
       208:{3,5,7}:{(170,1),(174,1),(178,1),(246,1),(247,1),(390,1)}
       209:{4,7}:{(171,1),(175,1)}
       210:{3,5,7}:{(172,1),(176,1),(180,1),(244,1),(248,1)}
       211:{2,5,7}:{(173,1),(177,1),(181,1),(245,1),(250,1)}
       212:{4,5}:{(174,1),(175,1)}
       213:{3,4,6}:{(175,1),(176,1),(248,1),(251,1),(252,1)}
       214:{2,3,5,6}:{(176,1),(177,1),(184,1),(249,1),(252,1),(253,1),(258,1),(317,1),(351,1)}
       215:{1,5,6}:{(177,1),(185,1),(250,1),(266,1),(304,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(246,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(182,1),(189,1),(235,1),(247,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,4,7}:{(179,1),(180,1),(183,1),(255,1),(356,1)}
       219:{2,3,7}:{(180,1),(181,1),(184,1),(257,1),(356,1)}
       220:{1,4,7}:{(181,1),(185,1),(250,1),(257,1)}
       221:{3,5}:{(182,1),(183,1)}
       222:{2,3,4,6}:{(183,1),(184,1),(186,1),(193,1),(239,1),(252,1),(256,1),(258,1),(259,1),(317,1),(321,1),(360,1),(381,1)}
       223:{1,3,6}:{(184,1),(185,1),(187,1),(257,1),(260,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(192,1),(255,1),(262,1),(263,1)}
       228:{2,4,7}:{(190,1),(191,1),(193,1),(263,1),(264,1)}
       229:{1,3,7}:{(191,1),(194,1),(264,1),(265,1)}
       230:{2,5}:{(192,1),(193,1),(266,1)}
       231:{1,4,6}:{(193,1),(194,1),(195,1),(264,1),(266,1),(322,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(265,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,4,7}:{(198,1),(199,1),(201,1),(218,1),(270,1),(271,1)}
       237:{2,3,7}:{(199,1),(202,1),(271,1),(272,1),(291,1)}
       238:{1,3,5}:{(200,1),(201,1),(221,1),(273,1)}
       239:{2,4,6}:{(201,1),(202,1),(203,1),(271,1),(273,1),(274,1),(326,1)}
       240:{1,3,6}:{(202,1),(204,1),(272,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{4,6,7}:{(205,1),(209,1),(277,1),(281,1)}
       244:{3,6,7}:{(206,1),(210,1),(288,1)}
       245:{2,6,7}:{(207,1),(211,1),(280,1),(295,1),(326,1)}
       246:{3,5,6}:{(208,1),(216,1),(281,1),(288,1)}
       247:{4,5,7}:{(208,1),(209,1),(212,1),(281,1),(385,1),(391,1)}
       248:{3,4,7}:{(209,1),(210,1),(213,1),(283,1)}
       249:{2,3,5,7}:{(210,1),(211,1),(214,1),(219,1),(279,1),(283,1),(284,1),(332,1)}
       250:{1,5,7}:{(211,1),(215,1),(220,1),(280,1)}
       251:{3,4,5}:{(212,1),(213,1),(221,1),(285,1),(371,1)}
       252:{2,4,6}:{(213,1),(214,1),(283,1),(285,1),(286,1)}
       253:{1,3,5,6}:{(214,1),(215,1),(223,1),(284,1),(286,1),(287,1),(292,1),(339,1),(340,1),(366,1),(384,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(281,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(221,1),(288,1)}
       256:{2,3,4,7}:{(218,1),(219,1),(222,1),(228,1),(271,1),(283,1),(289,1),(290,1),(342,1),(373,1)}
       257:{1,3,7}:{(219,1),(220,1),(223,1),(291,1)}
       258:{2,3,5}:{(221,1),(222,1),(230,1),(273,1),(285,1),(292,1),(387,1)}
       259:{1,3,4,6}:{(222,1),(223,1),(224,1),(231,1),(274,1),(286,1),(290,1),(292,1),(293,1),(299,1),(330,1),(339,1),(340,1),(346,1),(365,1),(371,1),(374,1),(383,1),(386,1)}
       260:{2,6}:{(223,1),(225,1),(291,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(230,1),(295,1),(296,1)}
       264:{1,4,7}:{(228,1),(229,1),(231,1),(296,1)}
       265:{1,2,7}:{(229,1),(232,1),(291,1)}
       266:{1,5}:{(230,1),(231,1)}
       267:{1,2,4,6}:{(231,1),(232,1),(233,1),(293,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(238,1),(255,1),(300,1),(301,1)}
       271:{2,4,7}:{(236,1),(237,1),(239,1),(301,1),(302,1)}
       272:{1,3,7}:{(237,1),(240,1),(302,1),(303,1)}
       273:{2,5}:{(238,1),(239,1),(304,1)}
       274:{1,4,6}:{(239,1),(240,1),(241,1),(302,1),(304,1),(347,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(303,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,5,7}:{(243,1),(307,1),(308,1)}
       278:{3,4,6,7}:{(243,1),(244,1),(248,1),(308,1),(309,1),(311,1)}
       279:{2,3,6,7}:{(244,1),(245,1),(249,1),(309,1),(310,1),(317,1)}
       280:{1,6,7}:{(245,1),(250,1),(322,1),(347,1)}
       281:{4,6}:{(246,1),(247,1)}
       282:{3,4,5,7}:{(247,1),(248,1),(251,1),(255,1),(308,1),(311,1),(312,1),(380,1),(390,1)}
       283:{2,4,7}:{(248,1),(249,1),(252,1),(313,1)}
       284:{1,3,5,7}:{(249,1),(250,1),(253,1),(257,1),(310,1),(313,1),(314,1),(352,1),(356,1),(378,1)}
       285:{2,4,5}:{(251,1),(252,1),(258,1),(315,1),(360,1)}
       286:{1,4,6}:{(252,1),(253,1),(313,1),(315,1),(316,1),(389,1)}
       287:{2,5,6}:{(253,1),(260,1),(314,1),(316,1),(320,1),(358,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(258,1),(263,1),(301,1),(312,1),(317,1),(318,1)}
       290:{1,3,4,7}:{(256,1),(257,1),(259,1),(264,1),(302,1),(313,1),(318,1),(319,1),(324,1),(349,1),(356,1),(362,1),(376,1),(380,1)}
       291:{2,7}:{(257,1),(260,1)}
       292:{1,3,5}:{(258,1),(259,1),(266,1),(304,1),(315,1),(320,1),(357,1),(382,1),(388,1),(390,1)}
       293:{2,4,6}:{(259,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(266,1),(322,1)}
       297:{1,2,4,7}:{(264,1),(265,1),(267,1),(319,1),(323,1),(324,1),(362,1)}
       298:{1,2,5}:{(266,1),(267,1),(320,1),(325,1),(382,1)}
       299:{1,3,6}:{(267,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(273,1),(326,1),(327,1)}
       302:{1,4,7}:{(271,1),(272,1),(274,1),(327,1)}
       303:{1,2,7}:{(272,1),(275,1),(291,1)}
       304:{1,5}:{(273,1),(274,1)}
       305:{1,2,4,6}:{(274,1),(275,1),(276,1),(293,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(281,1),(331,1),(391,1)}
       308:{3,5,7}:{(277,1),(278,1),(331,1),(332,1)}
       309:{2,4,6,7}:{(278,1),(279,1),(283,1),(332,1),(333,1),(335,1)}
       310:{1,3,6,7}:{(279,1),(280,1),(284,1),(333,1),(334,1),(340,1),(368,1)}
       311:{3,4,6}:{(281,1),(282,1),(288,1),(331,1),(335,1)}
       312:{2,4,5,7}:{(282,1),(283,1),(285,1),(289,1),(332,1),(335,1),(336,1),(373,1),(387,1)}
       313:{1,4,7}:{(283,1),(284,1),(286,1),(337,1),(385,1)}
       314:{2,5,7}:{(284,1),(287,1),(291,1),(334,1),(337,1)}
       315:{1,4,5}:{(285,1),(286,1),(292,1),(338,1),(346,1),(365,1),(391,1)}
       316:{2,4,6}:{(286,1),(287,1),(337,1),(338,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(335,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(292,1),(296,1),(327,1),(336,1),(340,1),(341,1),(370,1)}
       319:{2,4,7}:{(290,1),(291,1),(293,1),(341,1),(342,1)}
       320:{2,5}:{(292,1),(293,1)}
       321:{2,3,6}:{(293,1),(294,1),(299,1),(330,1),(339,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,7}:{(297,1),(299,1),(342,1)}
       325:{1,3,5}:{(298,1),(299,1),(343,1),(346,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(304,1),(347,1)}
       328:{1,2,4,7}:{(302,1),(303,1),(305,1),(319,1),(348,1),(349,1),(376,1)}
       329:{1,2,5}:{(304,1),(305,1),(320,1),(350,1),(388,1)}
       330:{1,3,6}:{(305,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,5,7}:{(308,1),(309,1),(351,1),(352,1)}
       333:{1,4,6,7}:{(309,1),(310,1),(313,1),(352,1),(353,1),(354,1)}
       334:{2,6,7}:{(310,1),(314,1),(358,1)}
       335:{2,4,6}:{(311,1),(312,1),(317,1),(351,1),(354,1)}
       336:{1,4,5,7}:{(312,1),(313,1),(315,1),(318,1),(352,1),(354,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(356,1)}
       338:{2,4,5}:{(315,1),(316,1),(320,1),(357,1),(360,1)}
       339:{3,6}:{(316,1),(356,1),(357,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(354,1),(358,1),(379,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,7}:{(319,1),(321,1),(324,1),(349,1),(356,1)}
       343:{2,3,5}:{(320,1),(321,1),(325,1),(350,1),(357,1),(360,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(325,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,7}:{(328,1),(330,1),(342,1)}
       350:{1,3,5}:{(329,1),(330,1),(343,1),(365,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,5,7}:{(332,1),(333,1),(366,1),(367,1)}
       353:{2,4,6,7}:{(333,1),(334,1),(337,1),(367,1),(368,1),(369,1),(385,1)}
       354:{1,4,6}:{(335,1),(336,1),(340,1),(366,1),(369,1)}
       355:{2,4,5,7}:{(336,1),(337,1),(338,1),(341,1),(367,1),(369,1),(370,1),(373,1),(385,1),(387,1),(391,1)}
       356:{3,7}:{(337,1),(339,1)}
       357:{3,5}:{(338,1),(339,1),(371,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(370,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(343,1),(346,1),(365,1),(371,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(350,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(354,1),(377,1),(382,1),(388,1)}
       367:{2,5,7}:{(352,1),(353,1),(377,1),(378,1)}
       368:{3,6,7}:{(353,1),(356,1),(378,1),(379,1)}
       369:{2,4,6}:{(354,1),(355,1),(358,1),(377,1),(379,1),(389,1)}
       370:{3,5,7}:{(355,1),(356,1),(357,1),(379,1),(380,1),(390,1)}
       371:{3,4}:{(357,1),(360,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(379,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(380,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(369,1),(384,1),(387,1)}
       378:{3,5,7}:{(367,1),(368,1),(384,1),(385,1)}
       379:{3,6}:{(369,1),(370,1)}
       380:{3,4,7}:{(370,1),(371,1),(373,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(386,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(379,1),(389,1),(390,1)}
       385:{4,7}:{(378,1),(389,1)}
       386:{3,4,6}:{(379,1),(380,1),(381,1),(389,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(385,1),(391,1)}
       390:{3,5}:{(386,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

1182 :  0:{2,3,4}:{(2,1),(3,1),(23,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(82,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(27,1),(39,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(39,1)}
        5:{4,5,6}:{(15,1),(16,1),(88,1),(96,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1),(19,1),(50,1),(74,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1)}
        9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,4}:{(3,1),(22,1),(23,1)}
       11:{1,2,5}:{(4,1),(22,1),(24,1),(25,1)}
       12:{1,3}:{(4,1),(23,1)}
       13:{1,2,4}:{(10,1),(26,1),(27,1),(55,1)}
       14:{5,6,7}:{(28,1),(97,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{3,5,6}:{(5,1),(6,1),(29,1),(30,1),(82,1),(94,1)}
       17:{3,4,7}:{(6,1),(29,1),(31,1)}
       18:{2,4,6}:{(6,1),(7,1),(8,1),(30,1),(31,1),(32,1)}
       19:{1,4,5}:{(7,1),(9,1),(32,1),(33,1),(39,1),(55,1),(65,1),(77,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{1,3,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,5}:{(9,1),(10,1),(35,1)}
       23:{2,3}:{(10,1),(12,1),(27,1)}
       24:{1,2,6}:{(11,1),(35,1),(37,1),(38,1)}
       25:{1,3,5}:{(11,1),(12,1),(36,1),(38,1),(39,1),(65,1)}
       26:{1,2,5}:{(13,1),(22,1),(40,1),(41,1)}
       27:{1,3}:{(13,1),(23,1)}
       28:{4,6,7}:{(14,1),(15,1),(42,1),(96,1)}
       29:{3,5,7}:{(15,1),(16,1),(17,1),(42,1),(43,1)}
       30:{2,5,6}:{(16,1),(18,1),(43,1),(44,1),(74,1),(90,1)}
       31:{2,4,7}:{(17,1),(18,1),(20,1),(43,1),(45,1)}
       32:{1,4,6}:{(18,1),(19,1),(21,1),(44,1),(45,1),(46,1)}
       33:{2,4,5}:{(19,1),(22,1),(46,1),(47,1),(50,1),(74,1),(88,1)}
       34:{1,3,7}:{(20,1),(21,1),(45,1),(48,1),(71,1)}
       35:{2,6}:{(21,1),(22,1),(48,1)}
       36:{2,3,5}:{(22,1),(23,1),(25,1),(41,1),(47,1),(49,1),(50,1),(74,1)}
       37:{1,2,7}:{(24,1),(48,1),(51,1)}
       38:{1,3,6}:{(24,1),(25,1),(49,1),(51,1),(52,1)}
       39:{1,4}:{(25,1),(50,1)}
       40:{1,2,6}:{(26,1),(35,1),(53,1),(54,1)}
       41:{1,3,5}:{(26,1),(27,1),(36,1),(54,1),(55,1),(77,1)}
       42:{3,6,7}:{(28,1),(29,1),(56,1),(94,1)}
       43:{2,5,7}:{(29,1),(30,1),(31,1),(56,1),(57,1)}
       44:{1,5,6}:{(30,1),(32,1),(57,1),(58,1),(65,1),(77,1),(84,1),(91,1)}
       45:{1,4,7}:{(31,1),(32,1),(34,1),(57,1),(59,1)}
       46:{2,4,6}:{(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(80,1)}
       47:{3,5}:{(33,1),(60,1),(61,1)}
       48:{2,7}:{(34,1),(35,1)}
       49:{2,3,6}:{(35,1),(36,1),(38,1),(54,1),(60,1),(62,1),(63,1)}
       50:{2,4}:{(36,1),(39,1),(55,1),(61,1)}
       51:{1,3,7}:{(37,1),(38,1),(62,1),(64,1)}
       52:{1,4,6}:{(38,1),(39,1),(63,1),(64,1),(65,1),(84,1)}
       53:{1,2,7}:{(40,1),(48,1),(66,1)}
       54:{1,3,6}:{(40,1),(41,1),(49,1),(66,1),(67,1)}
       55:{1,4}:{(41,1),(50,1)}
       56:{2,6,7}:{(42,1),(43,1),(68,1),(90,1)}
       57:{1,5,7}:{(43,1),(44,1),(45,1),(68,1),(69,1)}
       58:{2,5,6}:{(44,1),(46,1),(69,1),(70,1),(74,1),(90,1)}
       59:{2,4,7}:{(45,1),(46,1),(48,1),(69,1),(71,1),(87,1)}
       60:{3,6}:{(46,1),(47,1),(71,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,3,7}:{(48,1),(49,1),(51,1),(66,1),(71,1),(73,1)}
       63:{2,4,6}:{(49,1),(50,1),(52,1),(67,1),(72,1),(73,1),(74,1),(90,1)}
       64:{1,4,7}:{(51,1),(52,1),(73,1),(75,1)}
       65:{1,5}:{(52,1),(74,1)}
       66:{1,3,7}:{(53,1),(54,1),(62,1),(76,1)}
       67:{1,4,6}:{(54,1),(55,1),(63,1),(76,1),(77,1),(91,1)}
       68:{1,6,7}:{(56,1),(57,1),(78,1),(84,1),(91,1)}
       69:{2,5,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       70:{3,5,6}:{(58,1),(60,1),(79,1),(80,1),(82,1),(94,1),(97,1)}
       71:{3,7}:{(59,1),(60,1)}
       72:{3,4,6}:{(60,1),(61,1),(63,1),(80,1),(81,1),(82,1),(94,1)}
       73:{2,4,7}:{(62,1),(63,1),(64,1),(76,1),(81,1),(83,1)}
       74:{2,5}:{(63,1),(65,1),(77,1),(82,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,4,7}:{(66,1),(67,1),(73,1),(85,1)}
       77:{1,5}:{(67,1),(74,1)}
       78:{2,6,7}:{(68,1),(69,1),(86,1),(90,1)}
       79:{3,5,7}:{(69,1),(70,1),(71,1),(86,1),(87,1),(95,1)}
       80:{4,6}:{(70,1),(87,1),(88,1)}
       81:{3,4,7}:{(71,1),(72,1),(73,1),(87,1),(89,1)}
       82:{3,5}:{(72,1),(74,1),(88,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{3,6,7}:{(78,1),(79,1),(92,1),(94,1)}
       87:{4,7}:{(79,1),(80,1)}
       88:{4,5}:{(80,1),(82,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,6,7}:{(86,1),(87,1),(95,1),(96,1)}
       93:{4,5,7}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(96,1)}
       95:{5,7}:{(92,1),(97,1)}
       96:{4,6}:{(93,1),(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1183 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(14,1),(50,1),(82,1),(83,1),(93,1),(94,1),(104,1),(144,1),(147,1),(158,1),(211,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(28,1),(57,1),(67,1),(70,1),(111,1),(124,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(181,1),(241,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(35,1),(41,1),(82,1),(83,1),(144,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(15,1),(44,1),(144,1),(158,1),(211,1),(264,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(38,1),(82,1),(93,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(22,1),(55,1),(57,1),(111,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(22,1),(23,1),(61,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(24,1),(25,1),(175,1)}
        12:{1,4,6,7}:{(4,1),(23,1),(25,1),(116,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(26,1),(27,1),(57,1),(70,1),(117,1),(177,1),(178,1),(192,1),(238,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1),(66,1),(284,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(241,1),(283,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(59,1),(63,1),(70,1),(111,1),(114,1),(120,1),(124,1),(126,1),(131,1),(137,1),(176,1),(182,1),(187,1),(245,1),(284,1),(285,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(22,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(23,1),(34,1),(73,1),(137,1),(138,1),(181,1)}
        20:{2,3,6,7}:{(9,1),(15,1),(35,1),(36,1),(41,1),(87,1),(144,1)}
        21:{1,4,6,7}:{(9,1),(17,1),(35,1),(38,1),(82,1)}
        22:{2,5,7}:{(9,1),(10,1),(18,1),(38,1)}
        23:{1,4,5,7}:{(10,1),(12,1),(19,1),(39,1),(82,1),(148,1)}
        24:{1,5,6,7}:{(11,1),(38,1),(40,1),(205,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(87,1),(210,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(42,1),(43,1),(82,1),(88,1),(95,1),(144,1),(212,1),(265,1)}
        27:{2,3,4,6}:{(13,1),(15,1),(43,1),(44,1),(49,1),(99,1),(150,1),(167,1),(168,1),(216,1),(225,1),(230,1)}
        28:{2,5,7}:{(14,1),(42,1),(47,1),(92,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(297,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(36,1),(44,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(88,1),(104,1),(144,1),(153,1),(158,1),(211,1),(270,1),(298,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(210,1),(214,1),(269,1),(297,1)}
        33:{1,5,6}:{(17,1),(18,1),(38,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(39,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(210,1)}
        35:{1,3,6,7}:{(20,1),(21,1),(29,1),(55,1),(56,1),(116,1)}
        36:{2,3,5,7}:{(20,1),(22,1),(30,1),(56,1),(57,1),(61,1),(115,1),(178,1)}
        37:{1,2,4,6,7}:{(21,1),(32,1),(55,1),(58,1),(59,1),(109,1),(111,1),(114,1),(195,1),(243,1),(285,1)}
        38:{1,5,7}:{(21,1),(22,1),(33,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(25,1),(34,1),(57,1),(60,1),(61,1),(111,1),(115,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(236,1)}
        41:{3,6,7}:{(25,1),(61,1),(241,1)}
        42:{2,4,7}:{(26,1),(28,1),(64,1),(65,1),(242,1)}
        43:{1,3,4,6}:{(26,1),(27,1),(29,1),(65,1),(66,1),(73,1),(119,1),(127,1),(133,1),(187,1),(192,1),(203,1),(254,1),(259,1)}
        44:{2,3,5}:{(27,1),(66,1),(67,1),(131,1),(202,1),(258,1)}
        45:{1,2,5,7}:{(28,1),(63,1),(68,1),(69,1),(120,1),(182,1),(284,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(64,1),(68,1),(70,1),(71,1),(117,1),(123,1),(131,1),(182,1),(184,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(56,1),(66,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(57,1),(67,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(114,1),(177,1),(187,1),(192,1),(246,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(241,1),(286,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(59,1),(72,1),(77,1),(120,1),(131,1),(175,1),(196,1),(244,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(60,1),(73,1),(78,1),(197,1),(236,1)}
        54:{3,5,6}:{(34,1),(61,1),(74,1),(133,1),(202,1),(241,1)}
        55:{2,6,7}:{(35,1),(47,1),(81,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(38,1),(48,1),(81,1),(82,1),(144,1),(148,1),(212,1)}
        57:{2,4,7}:{(36,1),(49,1),(82,1),(83,1)}
        58:{1,3,6,7}:{(37,1),(51,1),(80,1),(85,1),(144,1),(297,1),(298,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(52,1),(81,1),(85,1),(142,1),(227,1),(266,1),(268,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(40,1),(53,1),(82,1),(86,1)}
        61:{3,5,7}:{(39,1),(41,1),(54,1),(83,1),(144,1)}
        62:{1,3,6,7}:{(40,1),(41,1),(86,1),(87,1),(263,1)}
        63:{1,2,4,7}:{(42,1),(45,1),(88,1),(89,1),(95,1),(149,1),(265,1),(266,1)}
        64:{2,3,7}:{(42,1),(88,1),(91,1),(144,1)}
        65:{2,4,6}:{(42,1),(43,1),(47,1),(91,1),(92,1),(157,1),(234,1),(278,1)}
        66:{1,3,5}:{(43,1),(44,1),(92,1),(93,1),(158,1),(161,1),(281,1)}
        67:{2,4,5}:{(44,1),(49,1),(93,1),(94,1),(216,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(88,1),(95,1),(96,1),(153,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(214,1),(297,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(157,1),(216,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(214,1)}
        72:{2,5,6}:{(47,1),(48,1),(81,1),(92,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(82,1),(93,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(83,1),(94,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(147,1),(151,1),(170,1),(211,1),(219,1),(224,1),(270,1),(272,1),(277,1),(298,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(85,1),(100,1),(104,1),(105,1),(153,1),(231,1),(281,1),(297,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(86,1),(102,1),(106,1),(229,1),(263,1)}
        79:{1,2,6,7}:{(55,1),(69,1),(107,1),(108,1),(116,1),(243,1),(283,1),(306,1)}
        80:{2,3,6,7}:{(55,1),(58,1),(71,1),(107,1),(109,1),(110,1),(241,1),(243,1),(283,1)}
        81:{2,5,7}:{(55,1),(56,1),(72,1),(111,1),(242,1)}
        82:{1,4,7}:{(56,1),(57,1),(73,1),(111,1)}
        83:{3,4,7}:{(57,1),(61,1),(74,1)}
        84:{1,3,4,6,7}:{(58,1),(76,1),(109,1),(113,1),(114,1),(177,1),(181,1),(241,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(77,1),(110,1),(114,1),(239,1),(284,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(78,1),(112,1),(115,1)}
        87:{2,6,7}:{(62,1),(115,1),(116,1),(283,1)}
        88:{1,3,7}:{(63,1),(64,1),(117,1),(119,1)}
        89:{1,2,4,6}:{(63,1),(65,1),(69,1),(119,1),(120,1),(127,1),(183,1),(187,1),(259,1),(260,1),(292,1)}
        90:{2,3,4,7}:{(64,1),(70,1),(118,1),(121,1),(122,1),(177,1),(238,1),(246,1),(252,1),(307,1)}
        91:{2,3,6}:{(64,1),(65,1),(119,1),(123,1),(133,1),(293,1)}
        92:{2,5}:{(65,1),(66,1)}
        93:{1,4,5}:{(66,1),(67,1),(73,1),(124,1),(187,1)}
        94:{3,4,5}:{(67,1),(74,1),(202,1),(246,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(187,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(108,1),(120,1),(128,1),(129,1),(138,1),(244,1),(258,1),(283,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(121,1),(126,1),(130,1),(131,1),(182,1),(191,1),(200,1),(245,1),(252,1),(285,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(110,1),(123,1),(128,1),(131,1),(132,1),(133,1),(175,1),(184,1),(199,1),(202,1),(241,1),(244,1),(258,1),(283,1),(286,1)}
       101:{2,4,6}:{(72,1),(73,1),(111,1),(124,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(112,1),(125,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(181,1),(185,1),(241,1),(248,1),(253,1),(286,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(114,1),(132,1),(137,1),(187,1)}
       106:{2,5,6}:{(78,1),(115,1),(134,1),(138,1),(258,1),(283,1)}
       107:{1,3,6,7}:{(79,1),(80,1),(96,1),(139,1),(140,1),(263,1)}
       108:{1,2,5,7}:{(79,1),(81,1),(97,1),(140,1),(141,1),(148,1),(264,1),(268,1),(305,1)}
       109:{2,4,6,7}:{(80,1),(84,1),(99,1),(139,1),(142,1),(143,1),(210,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(85,1),(100,1),(140,1),(142,1),(143,1),(144,1),(208,1),(211,1),(264,1),(268,1),(298,1)}
       111:{2,4,7}:{(81,1),(82,1),(101,1),(144,1)}
       112:{1,3,4,7}:{(82,1),(83,1),(86,1),(102,1),(144,1),(145,1),(212,1)}
       113:{1,3,5,7}:{(84,1),(104,1),(142,1),(146,1),(147,1),(211,1)}
       114:{1,4,7}:{(85,1),(105,1),(143,1)}
       115:{2,5,7}:{(86,1),(87,1),(106,1),(145,1),(148,1)}
       116:{1,6,7}:{(87,1),(148,1),(297,1)}
       117:{2,3,7}:{(88,1),(149,1),(150,1),(298,1)}
       118:{1,3,4,7}:{(88,1),(90,1),(95,1),(149,1),(151,1),(152,1),(265,1),(272,1),(298,1),(312,1)}
       119:{1,3,6}:{(88,1),(89,1),(91,1),(150,1),(153,1),(304,1)}
       120:{1,2,5}:{(89,1),(92,1),(153,1),(161,1),(215,1),(281,1)}
       121:{2,3,5,7}:{(90,1),(98,1),(151,1),(155,1),(156,1),(211,1),(264,1),(270,1),(298,1)}
       122:{2,3,4,6}:{(90,1),(91,1),(99,1),(152,1),(155,1),(156,1),(157,1),(167,1),(223,1),(230,1),(271,1),(299,1)}
       123:{2,3,5}:{(91,1),(92,1),(153,1),(157,1),(158,1)}
       124:{2,4,5}:{(92,1),(93,1),(101,1),(157,1),(158,1)}
       125:{1,3,4,5}:{(93,1),(94,1),(102,1),(158,1),(159,1),(220,1),(226,1),(229,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(151,1),(160,1),(161,1),(219,1),(227,1),(272,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(140,1),(153,1),(161,1),(162,1),(163,1),(205,1),(229,1),(263,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(141,1),(154,1),(162,1),(163,1),(169,1),(230,1),(234,1),(269,1),(303,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(155,1),(160,1),(165,1),(214,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(143,1),(157,1),(162,1),(166,1),(167,1),(216,1)}
       133:{3,6}:{(101,1),(144,1),(158,1)}
       134:{2,4,6}:{(102,1),(106,1),(145,1),(159,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(213,1),(217,1),(267,1),(272,1),(277,1),(298,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(148,1),(169,1),(281,1),(297,1)}
       139:{1,4,6,7}:{(107,1),(109,1),(127,1),(172,1),(173,1),(236,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(110,1),(128,1),(172,1),(173,1),(174,1)}
       141:{1,2,4,7}:{(108,1),(111,1),(129,1),(173,1),(174,1),(179,1),(238,1),(242,1),(285,1),(311,1),(314,1)}
       142:{2,5,7}:{(109,1),(113,1),(131,1),(172,1),(175,1)}
       143:{2,4,7}:{(110,1),(114,1),(132,1),(173,1),(177,1)}
       144:{3,7}:{(111,1),(133,1)}
       145:{2,4,7}:{(112,1),(115,1),(134,1),(178,1),(179,1),(242,1)}
       146:{1,3,5,6}:{(113,1),(175,1),(181,1),(241,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(137,1),(176,1),(181,1),(284,1)}
       148:{1,5,7}:{(115,1),(116,1),(138,1),(179,1)}
       149:{2,4,7}:{(117,1),(118,1),(182,1),(183,1),(314,1)}
       150:{2,3,6}:{(117,1),(119,1),(183,1),(184,1),(286,1),(310,1)}
       151:{1,3,5,7}:{(118,1),(121,1),(126,1),(182,1),(185,1),(186,1),(284,1)}
       152:{1,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(183,1),(185,1),(186,1),(187,1),(246,1),(248,1),(259,1),(286,1),(288,1),(308,1)}
       153:{1,3,5}:{(119,1),(120,1),(123,1),(184,1),(187,1)}
       154:{1,2,4,5}:{(120,1),(124,1),(129,1),(187,1),(188,1),(194,1),(197,1),(245,1),(250,1),(255,1),(258,1),(291,1),(292,1),(309,1)}
       155:{2,3,6}:{(121,1),(130,1),(185,1),(241,1),(283,1),(286,1)}
       156:{2,3,5}:{(122,1),(131,1),(186,1),(191,1),(202,1),(258,1)}
       157:{2,4}:{(123,1),(187,1),(192,1)}
       158:{3,5}:{(124,1),(133,1),(192,1)}
       159:{2,4,5}:{(125,1),(134,1),(193,1),(194,1),(250,1),(255,1),(258,1)}
       160:{1,4,6}:{(126,1),(130,1),(185,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(173,1),(187,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(174,1),(188,1),(199,1),(286,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(189,1),(195,1),(200,1),(243,1),(252,1),(285,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(177,1),(192,1),(202,1),(241,1),(246,1),(286,1)}
       168:{2,3,6}:{(133,1),(134,1),(178,1),(193,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(179,1),(194,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(181,1),(201,1),(204,1),(248,1),(295,1)}
       172:{1,5,7}:{(139,1),(142,1),(161,1),(205,1)}
       173:{1,4,7}:{(140,1),(143,1),(162,1)}
       174:{1,3,7}:{(141,1),(144,1),(163,1),(208,1),(298,1)}
       175:{2,5,6}:{(142,1),(146,1),(205,1),(210,1)}
       176:{2,4,5,7}:{(142,1),(143,1),(147,1),(166,1),(206,1),(210,1),(211,1),(264,1)}
       177:{3,4,7}:{(143,1),(144,1),(167,1),(211,1),(298,1)}
       178:{2,3,7}:{(144,1),(145,1),(168,1),(212,1)}
       179:{1,4,7}:{(145,1),(148,1),(169,1),(212,1)}
       180:{1,3,5,6,7}:{(146,1),(170,1),(209,1),(213,1),(267,1)}
       181:{1,4,6}:{(146,1),(147,1),(210,1),(297,1)}
       182:{2,5,7}:{(149,1),(151,1),(214,1),(215,1)}
       183:{2,4,6}:{(149,1),(150,1),(152,1),(214,1),(215,1),(216,1),(301,1),(313,1)}
       184:{2,3,5}:{(150,1),(153,1),(215,1),(216,1),(270,1)}
       185:{1,3,6}:{(151,1),(155,1),(160,1),(214,1),(297,1)}
       186:{1,3,5}:{(152,1),(156,1),(161,1),(215,1),(219,1),(270,1),(281,1)}
       187:{1,4}:{(153,1),(157,1),(216,1)}
       188:{1,3,5}:{(154,1),(158,1),(163,1),(220,1),(221,1),(270,1),(304,1)}
       189:{2,3,6,7}:{(155,1),(164,1),(217,1),(222,1),(267,1),(296,1),(298,1)}
       190:{2,3,5,6}:{(155,1),(156,1),(165,1),(218,1),(222,1),(223,1),(233,1),(280,1),(299,1)}
       191:{2,4,5}:{(156,1),(157,1),(219,1),(223,1),(224,1)}
       192:{3,4}:{(157,1),(158,1)}
       193:{2,3,5}:{(158,1),(159,1),(168,1),(225,1),(226,1)}
       194:{1,4,5}:{(159,1),(169,1),(226,1),(275,1),(281,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(217,1),(227,1),(272,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(207,1),(220,1),(229,1),(230,1),(263,1)}
       199:{2,3,6}:{(163,1),(208,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(210,1),(223,1),(228,1),(232,1),(233,1),(269,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(212,1),(226,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(213,1),(232,1),(272,1),(305,1)}
       205:{1,5,6}:{(172,1),(175,1),(236,1)}
       206:{1,4,5,7}:{(172,1),(173,1),(176,1),(197,1),(236,1),(237,1)}
       207:{1,3,4,7}:{(173,1),(174,1),(177,1),(198,1),(237,1),(238,1)}
       208:{2,3,7}:{(174,1),(199,1),(238,1),(239,1),(242,1),(314,1)}
       209:{2,5,6,7}:{(175,1),(180,1),(200,1),(235,1),(240,1)}
       210:{2,4,6}:{(175,1),(176,1),(181,1),(236,1),(241,1),(283,1)}
       211:{3,5,7}:{(176,1),(177,1),(202,1),(241,1)}
       212:{1,3,7}:{(178,1),(179,1),(203,1),(242,1)}
       213:{1,4,6,7}:{(180,1),(181,1),(204,1),(240,1),(306,1)}
       214:{2,6}:{(182,1),(185,1)}
       215:{2,5}:{(183,1),(186,1)}
       216:{2,4}:{(184,1),(187,1),(246,1)}
       217:{1,3,6,7}:{(185,1),(189,1),(195,1),(243,1),(247,1),(306,1)}
       218:{1,3,5,6}:{(185,1),(186,1),(190,1),(196,1),(244,1),(247,1),(248,1),(286,1),(295,1),(308,1)}
       219:{1,4,5}:{(186,1),(187,1),(191,1),(245,1),(248,1)}
       220:{1,3,4}:{(187,1),(188,1),(192,1),(246,1),(250,1)}
       221:{2,3,5}:{(188,1),(199,1),(250,1),(251,1),(255,1),(258,1),(293,1),(309,1),(310,1)}
       222:{2,3,5,7}:{(189,1),(190,1),(200,1),(247,1),(252,1),(261,1),(294,1),(307,1)}
       223:{2,4,6}:{(190,1),(191,1),(248,1),(252,1),(253,1)}
       224:{3,4,5}:{(191,1),(192,1),(202,1),(253,1)}
       225:{2,3,4}:{(192,1),(193,1),(250,1),(254,1),(310,1)}
       226:{1,3,5}:{(193,1),(194,1),(203,1),(254,1),(255,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(236,1),(248,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(238,1),(250,1),(258,1),(259,1),(283,1)}
       231:{1,3,6}:{(199,1),(239,1),(251,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(240,1),(252,1),(256,1),(261,1),(285,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(241,1),(253,1),(261,1),(286,1)}
       234:{2,6}:{(203,1),(242,1),(255,1)}
       235:{1,5,6,7}:{(205,1),(209,1),(227,1),(262,1)}
       236:{1,4,6}:{(205,1),(206,1),(210,1),(263,1)}
       237:{1,3,5,7}:{(206,1),(207,1),(211,1),(229,1),(263,1),(264,1)}
       238:{2,4,7}:{(207,1),(208,1),(230,1),(264,1),(265,1)}
       239:{1,3,7}:{(208,1),(231,1),(265,1),(266,1)}
       240:{2,4,6,7}:{(209,1),(210,1),(213,1),(232,1),(262,1),(267,1),(296,1)}
       241:{3,6}:{(210,1),(211,1)}
       242:{2,7}:{(212,1),(234,1)}
       243:{2,6,7}:{(214,1),(217,1),(268,1)}
       244:{2,5,6}:{(214,1),(215,1),(218,1),(268,1),(269,1),(313,1)}
       245:{2,4,5}:{(215,1),(216,1),(219,1),(269,1),(270,1)}
       246:{3,4}:{(216,1),(270,1)}
       247:{1,3,5,7}:{(217,1),(218,1),(222,1),(227,1),(268,1),(272,1),(298,1),(305,1),(312,1)}
       248:{1,4,6}:{(218,1),(219,1),(223,1),(269,1),(272,1)}
       249:{1,3,4,5}:{(219,1),(220,1),(224,1),(229,1),(270,1),(273,1),(274,1),(300,1)}
       250:{2,4}:{(220,1),(221,1),(275,1)}
       251:{1,3,5}:{(221,1),(231,1),(275,1),(276,1),(281,1),(304,1)}
       252:{2,4,7}:{(222,1),(223,1),(272,1),(277,1)}
       253:{3,4,6}:{(223,1),(224,1),(233,1),(277,1)}
       254:{1,3,4}:{(225,1),(226,1),(275,1),(278,1),(304,1)}
       255:{2,5}:{(226,1),(234,1),(278,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(262,1),(272,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(263,1),(273,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(265,1),(275,1),(281,1),(297,1)}
       260:{1,2,6}:{(231,1),(234,1),(266,1),(276,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(267,1),(277,1),(298,1)}
       262:{1,4,6,7}:{(235,1),(236,1),(240,1),(256,1),(282,1)}
       263:{1,3,6}:{(236,1),(237,1),(241,1),(283,1)}
       264:{2,5,7}:{(237,1),(238,1),(258,1),(283,1),(284,1)}
       265:{1,4,7}:{(238,1),(239,1),(259,1),(284,1)}
       266:{1,2,7}:{(239,1),(242,1),(260,1),(314,1)}
       267:{3,6,7}:{(240,1),(241,1),(261,1)}
       268:{2,5,7}:{(243,1),(244,1),(247,1),(285,1),(314,1)}
       269:{2,4,6}:{(244,1),(245,1),(248,1),(285,1),(286,1)}
       270:{3,5}:{(245,1),(246,1),(286,1)}
       271:{2,3,4}:{(246,1),(250,1),(287,1),(288,1),(293,1)}
       272:{1,4,7}:{(247,1),(248,1),(252,1),(285,1)}
       273:{1,3,4,6}:{(248,1),(249,1),(253,1),(257,1),(286,1),(289,1),(290,1),(308,1)}
       274:{2,4,5}:{(249,1),(250,1),(258,1),(287,1),(290,1),(291,1),(309,1)}
       275:{1,4}:{(250,1),(251,1)}
       276:{1,2,5}:{(251,1),(255,1),(260,1),(292,1),(309,1)}
       277:{3,4,7}:{(252,1),(253,1),(261,1)}
       278:{2,4}:{(254,1),(255,1),(293,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(282,1),(289,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(283,1),(290,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{1,3,6,7}:{(262,1),(263,1),(267,1),(279,1),(296,1)}
       283:{2,6}:{(263,1),(264,1),(297,1)}
       284:{1,5,7}:{(264,1),(265,1),(281,1),(297,1)}
       285:{2,4,7}:{(268,1),(269,1),(272,1),(298,1)}
       286:{3,6}:{(269,1),(270,1),(298,1)}
       287:{2,3,5}:{(270,1),(271,1),(274,1),(299,1),(300,1)}
       288:{1,3,4}:{(271,1),(275,1),(300,1),(301,1),(304,1)}
       289:{1,3,4,7}:{(272,1),(273,1),(277,1),(279,1),(298,1),(302,1),(312,1)}
       290:{2,4,6}:{(273,1),(274,1),(280,1),(299,1),(302,1),(303,1),(313,1)}
       291:{1,4,5}:{(274,1),(275,1),(281,1),(300,1),(303,1)}
       292:{1,2,4}:{(275,1),(276,1),(278,1),(301,1),(304,1)}
       293:{2,3}:{(278,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(296,1),(302,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(297,1),(303,1),(305,1)}
       296:{2,6,7}:{(282,1),(283,1),(294,1),(306,1)}
       297:{1,6}:{(283,1),(284,1)}
       298:{3,7}:{(285,1),(286,1)}
       299:{2,3,6}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{2,4}:{(288,1),(309,1),(310,1)}
       302:{2,4,7}:{(289,1),(290,1),(294,1),(307,1),(311,1),(314,1)}
       303:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(311,1)}
       304:{1,3}:{(292,1),(293,1),(310,1)}
       305:{1,5,7}:{(294,1),(295,1),(306,1),(311,1)}
       306:{1,6,7}:{(296,1),(297,1),(305,1)}
       307:{2,3,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(303,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(313,1)}
       310:{2,3}:{(301,1),(304,1)}
       311:{1,4,7}:{(302,1),(303,1),(305,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1184 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1185 :  0:{2,3,4}:{(2,1),(3,1),(22,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(81,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(26,1),(38,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(38,1)}
        5:{4,5,6}:{(14,1),(15,1),(86,1),(95,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1)}
        7:{2,4,5}:{(1,1),(2,1),(16,1),(18,1),(50,1),(73,1)}
        8:{2,3,6}:{(2,1),(16,1),(19,1),(20,1)}
        9:{1,3,5}:{(2,1),(3,1),(18,1),(19,1),(21,1),(47,1)}
       10:{2,4}:{(3,1),(21,1),(22,1)}
       11:{1,2,5}:{(4,1),(21,1),(23,1),(24,1)}
       12:{1,3}:{(4,1),(22,1)}
       13:{1,2,4}:{(10,1),(25,1),(26,1),(55,1)}
       14:{3,5,6}:{(5,1),(6,1),(27,1),(28,1),(81,1),(94,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{2,4,6}:{(6,1),(7,1),(8,1),(27,1),(30,1),(31,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1)}
       18:{1,4,5}:{(7,1),(9,1),(30,1),(32,1),(38,1),(55,1),(64,1),(76,1)}
       19:{1,3,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(59,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{2,5}:{(9,1),(10,1),(33,1)}
       22:{2,3}:{(10,1),(12,1),(26,1)}
       23:{1,2,6}:{(11,1),(33,1),(36,1),(37,1)}
       24:{1,3,5}:{(11,1),(12,1),(35,1),(36,1),(38,1),(64,1)}
       25:{1,2,5}:{(13,1),(21,1),(39,1),(40,1)}
       26:{1,3}:{(13,1),(22,1)}
       27:{2,5,6}:{(14,1),(16,1),(41,1),(42,1),(73,1),(90,1)}
       28:{3,5,7}:{(14,1),(15,1),(17,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1),(95,1)}
       30:{1,4,6}:{(16,1),(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{2,4,7}:{(16,1),(17,1),(20,1),(42,1),(46,1)}
       32:{2,4,5}:{(18,1),(21,1),(45,1),(47,1),(50,1),(73,1),(86,1)}
       33:{2,6}:{(19,1),(21,1),(49,1)}
       34:{1,3,7}:{(19,1),(20,1),(46,1),(49,1),(72,1)}
       35:{2,3,5}:{(21,1),(22,1),(24,1),(40,1),(47,1),(48,1),(50,1),(73,1)}
       36:{1,3,6}:{(23,1),(24,1),(48,1),(51,1),(52,1)}
       37:{1,2,7}:{(23,1),(49,1),(52,1)}
       38:{1,4}:{(24,1),(50,1)}
       39:{1,2,6}:{(25,1),(33,1),(53,1),(54,1)}
       40:{1,3,5}:{(25,1),(26,1),(35,1),(53,1),(55,1),(76,1)}
       41:{1,5,6}:{(27,1),(30,1),(56,1),(57,1),(64,1),(76,1),(84,1),(91,1)}
       42:{2,5,7}:{(27,1),(28,1),(31,1),(57,1),(58,1)}
       43:{3,6,7}:{(28,1),(29,1),(58,1),(94,1)}
       44:{5,6,7}:{(29,1),(97,1)}
       45:{2,4,6}:{(30,1),(32,1),(33,1),(56,1),(59,1),(60,1),(78,1)}
       46:{1,4,7}:{(30,1),(31,1),(34,1),(57,1),(60,1)}
       47:{3,5}:{(32,1),(59,1),(61,1)}
       48:{2,3,6}:{(33,1),(35,1),(36,1),(53,1),(59,1),(62,1),(63,1)}
       49:{2,7}:{(33,1),(34,1)}
       50:{2,4}:{(35,1),(38,1),(55,1),(61,1)}
       51:{1,4,6}:{(36,1),(38,1),(62,1),(64,1),(65,1),(84,1)}
       52:{1,3,7}:{(36,1),(37,1),(63,1),(65,1)}
       53:{1,3,6}:{(39,1),(40,1),(48,1),(66,1),(67,1)}
       54:{1,2,7}:{(39,1),(49,1),(67,1)}
       55:{1,4}:{(40,1),(50,1)}
       56:{2,5,6}:{(41,1),(45,1),(68,1),(69,1),(73,1),(90,1)}
       57:{1,5,7}:{(41,1),(42,1),(46,1),(69,1),(70,1)}
       58:{2,6,7}:{(42,1),(43,1),(70,1),(90,1)}
       59:{3,6}:{(45,1),(47,1),(72,1)}
       60:{2,4,7}:{(45,1),(46,1),(49,1),(69,1),(72,1),(87,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,4,6}:{(48,1),(50,1),(51,1),(66,1),(71,1),(73,1),(74,1),(90,1)}
       63:{2,3,7}:{(48,1),(49,1),(52,1),(67,1),(72,1),(74,1)}
       64:{1,5}:{(51,1),(73,1)}
       65:{1,4,7}:{(51,1),(52,1),(74,1),(75,1)}
       66:{1,4,6}:{(53,1),(55,1),(62,1),(76,1),(77,1),(91,1)}
       67:{1,3,7}:{(53,1),(54,1),(63,1),(77,1)}
       68:{3,5,6}:{(56,1),(59,1),(78,1),(79,1),(81,1),(94,1),(97,1)}
       69:{2,5,7}:{(56,1),(57,1),(60,1),(79,1),(80,1)}
       70:{1,6,7}:{(57,1),(58,1),(80,1),(84,1),(91,1)}
       71:{3,4,6}:{(59,1),(61,1),(62,1),(78,1),(81,1),(82,1),(94,1)}
       72:{3,7}:{(59,1),(60,1)}
       73:{2,5}:{(62,1),(64,1),(76,1),(81,1)}
       74:{2,4,7}:{(62,1),(63,1),(65,1),(77,1),(82,1),(83,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,5}:{(66,1),(73,1)}
       77:{1,4,7}:{(66,1),(67,1),(74,1),(85,1)}
       78:{4,6}:{(68,1),(86,1),(87,1)}
       79:{3,5,7}:{(68,1),(69,1),(72,1),(87,1),(88,1),(96,1)}
       80:{2,6,7}:{(69,1),(70,1),(88,1),(90,1)}
       81:{3,5}:{(71,1),(73,1),(86,1)}
       82:{3,4,7}:{(71,1),(72,1),(74,1),(87,1),(89,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{4,5}:{(78,1),(81,1)}
       87:{4,7}:{(78,1),(79,1)}
       88:{3,6,7}:{(79,1),(80,1),(93,1),(94,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(92,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,5,7}:{(86,1),(87,1),(89,1),(95,1),(96,1)}
       93:{4,6,7}:{(87,1),(88,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(95,1)}
       95:{4,6}:{(92,1),(94,1),(97,1)}
       96:{5,7}:{(93,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1186 :   0:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(19,1),(25,1),(58,1),(71,1),(73,1),(79,1),(118,1),(150,1),(197,1),(210,1),(212,1),(257,1),(277,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(7,1),(26,1),(32,1),(37,1),(42,1),(83,1),(111,1),(165,1),(174,1),(175,1),(178,1),(180,1),(191,1),(235,1),(241,1),(243,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(42,1),(158,1),(191,1),(229,1),(241,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(34,1),(40,1),(48,1),(93,1),(177,1),(190,1),(294,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(15,1),(49,1),(55,1),(58,1),(68,1),(121,1),(123,1),(129,1),(146,1),(201,1),(210,1),(212,1),(219,1),(299,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(16,1),(19,1),(49,1),(58,1),(64,1),(71,1),(121,1),(133,1),(138,1),(210,1),(212,1)}
         6:{1,3,4,6}:{(1,1),(16,1),(18,1),(59,1),(137,1),(139,1),(152,1),(203,1),(213,1),(224,1),(262,1)}
         7:{1,3,4,7}:{(2,1),(19,1),(20,1),(79,1),(157,1),(257,1),(267,1)}
         8:{2,3,5,7}:{(2,1),(19,1),(21,1),(22,1),(58,1),(71,1),(130,1),(209,1)}
         9:{1,3,6}:{(2,1),(3,1),(22,1),(213,1),(224,1)}
        10:{1,2,4,6,7}:{(3,1),(23,1),(25,1),(62,1),(70,1),(79,1),(134,1),(212,1)}
        11:{1,2,5,6}:{(3,1),(24,1),(25,1),(63,1),(71,1),(135,1),(149,1),(197,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(26,1),(27,1),(28,1),(83,1),(104,1),(185,1),(235,1),(241,1),(243,1)}
        13:{1,2,4,6}:{(4,1),(28,1),(30,1),(34,1),(81,1),(89,1),(93,1),(177,1),(234,1),(308,1)}
        14:{2,3,5,7}:{(5,1),(31,1),(32,1),(33,1),(92,1),(191,1),(235,1),(241,1),(243,1),(252,1),(283,1)}
        15:{1,4,5,7}:{(5,1),(32,1),(34,1),(39,1),(80,1),(98,1),(107,1),(161,1),(174,1),(178,1)}
        16:{2,4,6}:{(5,1),(6,1),(33,1),(34,1),(36,1),(93,1)}
        17:{1,3,4,6,7}:{(6,1),(35,1),(37,1),(94,1),(103,1),(178,1),(180,1),(184,1),(243,1)}
        18:{1,3,5,6}:{(6,1),(36,1),(37,1),(38,1),(42,1),(83,1),(102,1)}
        19:{2,4,7}:{(7,1),(8,1),(39,1),(40,1),(240,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(40,1),(42,1),(48,1),(117,1)}
        21:{1,3,5,7}:{(8,1),(39,1),(43,1),(44,1),(104,1),(107,1),(185,1)}
        22:{2,3,6}:{(8,1),(9,1),(40,1),(44,1),(93,1)}
        23:{1,3,6,7}:{(9,1),(10,1),(45,1),(47,1),(243,1),(294,1)}
        24:{1,3,5,6}:{(9,1),(11,1),(42,1),(46,1),(47,1),(48,1),(229,1),(253,1),(255,1),(294,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(47,1),(98,1),(108,1),(176,1),(295,1)}
        26:{1,3,4,7}:{(12,1),(49,1),(50,1),(129,1),(208,1),(219,1),(267,1)}
        27:{2,3,5,7}:{(12,1),(49,1),(51,1),(52,1),(58,1),(121,1),(130,1),(209,1)}
        28:{1,3,6}:{(12,1),(13,1),(52,1),(213,1),(262,1)}
        29:{1,2,4,6,7}:{(13,1),(53,1),(55,1),(62,1),(120,1),(129,1),(134,1),(212,1)}
        30:{1,2,5,6}:{(13,1),(54,1),(55,1),(63,1),(121,1),(135,1),(146,1),(200,1),(301,1)}
        31:{2,3,4,7}:{(14,1),(19,1),(49,1),(56,1),(57,1),(130,1),(138,1),(157,1),(208,1),(227,1),(265,1),(267,1),(270,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(58,1),(59,1),(132,1),(277,1),(299,1)}
        33:{2,3,6}:{(14,1),(16,1),(59,1),(213,1),(224,1),(262,1),(276,1),(298,1)}
        34:{1,4,6}:{(15,1),(16,1),(59,1),(63,1)}
        35:{2,4,6,7}:{(16,1),(17,1),(60,1),(62,1),(64,1),(134,1),(138,1),(212,1)}
        36:{2,5,6}:{(16,1),(18,1),(63,1),(64,1),(71,1),(121,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(64,1),(67,1),(144,1)}
        38:{1,4,5,6}:{(18,1),(65,1),(67,1),(73,1),(123,1),(137,1),(152,1),(203,1),(218,1)}
        39:{1,4,7}:{(19,1),(21,1),(69,1),(219,1)}
        40:{2,4,6}:{(19,1),(20,1),(22,1),(69,1),(71,1)}
        41:{1,3,4,6,7}:{(20,1),(23,1),(70,1),(72,1),(79,1),(152,1),(157,1),(224,1)}
        42:{1,3,5}:{(20,1),(71,1),(73,1),(151,1)}
        43:{1,2,5,7}:{(21,1),(58,1),(68,1),(74,1),(146,1),(299,1)}
        44:{1,3,6}:{(21,1),(22,1),(69,1),(74,1)}
        45:{2,3,6,7}:{(22,1),(23,1),(70,1),(75,1),(77,1),(134,1),(224,1),(276,1)}
        46:{2,3,5,6}:{(22,1),(24,1),(71,1),(76,1),(77,1),(78,1),(135,1),(149,1),(151,1),(209,1),(213,1),(223,1),(224,1),(226,1),(276,1)}
        47:{1,3,5,7}:{(23,1),(24,1),(25,1),(77,1),(79,1),(277,1),(278,1)}
        48:{1,4,6}:{(24,1),(73,1),(78,1),(79,1),(257,1)}
        49:{2,4,7}:{(26,1),(27,1),(80,1),(81,1),(240,1)}
        50:{1,3,4,6}:{(26,1),(28,1),(81,1),(83,1),(89,1),(171,1)}
        51:{1,3,5,7}:{(27,1),(80,1),(84,1),(85,1),(158,1),(161,1),(229,1)}
        52:{2,3,6}:{(27,1),(28,1),(81,1),(85,1),(93,1)}
        53:{1,3,6,7}:{(28,1),(29,1),(86,1),(88,1),(243,1),(308,1)}
        54:{1,3,5,6}:{(28,1),(30,1),(83,1),(87,1),(88,1),(89,1),(185,1),(284,1),(286,1),(308,1)}
        55:{1,2,5,7}:{(29,1),(30,1),(88,1),(98,1),(162,1),(176,1),(309,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(39,1),(80,1),(90,1),(91,1),(104,1),(158,1),(178,1),(243,1),(256,1),(287,1),(290,1)}
        57:{2,3,4,6}:{(31,1),(33,1),(40,1),(81,1),(91,1),(92,1),(97,1),(117,1),(171,1),(172,1),(195,1),(239,1),(240,1),(244,1),(288,1)}
        58:{2,5,7}:{(32,1),(90,1),(93,1),(173,1)}
        59:{1,3,6}:{(32,1),(33,1),(34,1),(93,1),(294,1),(308,1)}
        60:{2,3,6,7}:{(33,1),(35,1),(94,1),(96,1),(184,1),(243,1),(247,1)}
        61:{2,3,5,6}:{(33,1),(36,1),(92,1),(95,1),(96,1),(97,1),(102,1),(183,1),(244,1)}
        62:{1,4,6,7}:{(34,1),(35,1),(94,1),(98,1),(178,1)}
        63:{1,5,6}:{(34,1),(36,1),(98,1),(107,1),(161,1)}
        64:{2,5,7}:{(35,1),(36,1),(37,1),(98,1)}
        65:{2,4,5,6}:{(36,1),(38,1),(97,1),(99,1),(101,1),(102,1),(109,1),(163,1),(177,1),(183,1),(190,1),(234,1)}
        66:{1,3,5,6,7}:{(37,1),(100,1),(103,1),(110,1),(164,1),(184,1)}
        67:{1,4,5,7}:{(37,1),(38,1),(101,1),(103,1),(178,1),(248,1)}
        68:{1,2,4,7}:{(39,1),(43,1),(90,1),(104,1),(105,1),(287,1),(309,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(107,1)}
        70:{2,4,6,7}:{(40,1),(41,1),(45,1),(106,1),(108,1),(116,1),(190,1)}
        71:{2,5}:{(40,1),(42,1),(107,1)}
        72:{1,3,5,7}:{(41,1),(42,1),(108,1),(110,1),(111,1),(191,1)}
        73:{1,4,5}:{(42,1),(48,1),(109,1),(253,1)}
        74:{1,2,6}:{(43,1),(44,1),(93,1),(308,1)}
        75:{1,3,6,7}:{(44,1),(45,1),(106,1),(112,1),(114,1),(251,1)}
        76:{1,3,5,6}:{(44,1),(46,1),(107,1),(113,1),(114,1),(115,1),(185,1),(187,1),(189,1),(193,1),(251,1)}
        77:{2,3,5,7}:{(45,1),(46,1),(47,1),(108,1),(114,1),(116,1),(176,1),(191,1),(243,1),(252,1),(254,1)}
        78:{2,4,6}:{(46,1),(48,1),(109,1),(115,1),(116,1),(117,1),(240,1)}
        79:{1,4,7}:{(47,1),(48,1),(116,1)}
        80:{1,4,7}:{(49,1),(51,1),(119,1),(257,1)}
        81:{2,4,6}:{(49,1),(50,1),(52,1),(119,1),(121,1)}
        82:{1,3,4,6,7}:{(50,1),(53,1),(120,1),(122,1),(129,1),(203,1),(208,1),(262,1)}
        83:{1,3,5}:{(50,1),(121,1),(123,1),(202,1)}
        84:{1,2,5,7}:{(51,1),(58,1),(118,1),(124,1),(197,1),(277,1)}
        85:{1,3,6}:{(51,1),(52,1),(119,1),(124,1)}
        86:{2,3,6,7}:{(52,1),(53,1),(120,1),(125,1),(127,1),(134,1),(262,1),(298,1)}
        87:{2,3,5,6}:{(52,1),(54,1),(121,1),(126,1),(127,1),(128,1),(135,1),(200,1),(202,1),(209,1),(213,1),(261,1),(262,1),(264,1),(298,1)}
        88:{1,3,5,7}:{(53,1),(54,1),(55,1),(127,1),(129,1),(299,1),(300,1)}
        89:{1,4,6}:{(54,1),(123,1),(128,1),(129,1),(219,1)}
        90:{2,4,7}:{(56,1),(58,1),(130,1),(131,1),(304,1)}
        91:{1,3,4,6}:{(56,1),(57,1),(59,1),(69,1),(119,1),(131,1),(132,1),(137,1),(145,1),(196,1),(213,1),(219,1),(228,1),(257,1),(266,1),(267,1),(271,1),(302,1)}
        92:{2,3,5}:{(57,1),(71,1),(121,1),(132,1),(133,1),(151,1),(202,1),(223,1),(261,1)}
        93:{2,6}:{(58,1),(59,1)}
        94:{1,3,6,7}:{(59,1),(60,1),(62,1),(134,1),(136,1),(273,1)}
        95:{1,3,5,6}:{(59,1),(61,1),(63,1),(132,1),(135,1),(136,1),(137,1),(213,1),(218,1),(271,1)}
        96:{2,3,5,7}:{(60,1),(61,1),(64,1),(136,1),(138,1),(144,1),(217,1),(270,1)}
        97:{2,4,6}:{(61,1),(133,1),(137,1),(138,1),(139,1)}
        98:{1,5,7}:{(62,1),(63,1),(64,1)}
        99:{1,4,5,6}:{(63,1),(65,1),(137,1),(141,1),(142,1),(148,1),(199,1),(221,1),(259,1)}
       100:{2,5,6,7}:{(64,1),(66,1),(140,1),(143,1),(149,1),(200,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(67,1),(138,1),(141,1),(143,1),(144,1),(212,1),(217,1)}
       102:{3,5,6}:{(65,1),(139,1),(144,1),(151,1),(202,1),(213,1),(224,1),(262,1)}
       103:{1,4,6,7}:{(66,1),(67,1),(143,1),(152,1),(203,1),(273,1)}
       104:{1,3,7}:{(68,1),(130,1),(145,1)}
       105:{1,2,4,6}:{(68,1),(69,1),(74,1),(131,1),(145,1),(146,1),(219,1),(266,1),(301,1),(312,1)}
       106:{1,4,6,7}:{(69,1),(70,1),(75,1),(147,1),(155,1),(221,1)}
       107:{1,5}:{(69,1),(71,1)}
       108:{2,5,7}:{(70,1),(71,1),(72,1),(147,1),(149,1)}
       109:{2,4,5}:{(71,1),(73,1),(78,1),(148,1),(151,1),(223,1)}
       110:{1,3,5,6}:{(72,1),(149,1),(152,1),(224,1)}
       111:{1,4,5,7}:{(72,1),(73,1),(79,1),(150,1),(152,1),(277,1)}
       112:{1,2,6,7}:{(74,1),(75,1),(134,1),(153,1),(273,1),(276,1)}
       113:{1,2,5,6}:{(74,1),(76,1),(135,1),(146,1),(153,1),(154,1),(218,1),(223,1),(276,1)}
       114:{1,3,5,7}:{(75,1),(76,1),(77,1),(147,1),(153,1),(155,1),(225,1)}
       115:{1,4,6}:{(76,1),(78,1),(148,1),(155,1),(219,1)}
       116:{2,4,7}:{(77,1),(78,1),(79,1),(155,1),(157,1)}
       117:{3,4,6}:{(78,1),(151,1),(157,1),(213,1),(224,1),(267,1)}
       118:{1,2,4,7}:{(80,1),(84,1),(90,1),(158,1),(159,1),(256,1),(295,1)}
       119:{1,4,6}:{(80,1),(81,1),(85,1),(161,1)}
       120:{2,4,6,7}:{(81,1),(82,1),(86,1),(160,1),(162,1),(170,1),(234,1)}
       121:{2,5}:{(81,1),(83,1),(161,1)}
       122:{1,3,5,7}:{(82,1),(83,1),(162,1),(164,1),(165,1),(235,1)}
       123:{1,4,5}:{(83,1),(89,1),(163,1),(284,1)}
       124:{1,2,6}:{(84,1),(85,1),(93,1),(294,1)}
       125:{1,3,6,7}:{(85,1),(86,1),(160,1),(166,1),(168,1),(282,1)}
       126:{1,3,5,6}:{(85,1),(87,1),(161,1),(167,1),(168,1),(169,1),(229,1),(231,1),(233,1),(237,1),(282,1)}
       127:{2,3,5,7}:{(86,1),(87,1),(88,1),(162,1),(168,1),(170,1),(176,1),(235,1),(243,1),(283,1),(285,1)}
       128:{2,4,6}:{(87,1),(89,1),(163,1),(169,1),(170,1),(171,1),(240,1)}
       129:{1,4,7}:{(88,1),(89,1),(170,1)}
       130:{2,3,7}:{(90,1),(104,1),(158,1),(172,1),(243,1)}
       131:{2,4,6}:{(90,1),(91,1),(93,1),(172,1),(173,1),(240,1),(291,1),(310,1)}
       132:{1,3,5}:{(91,1),(92,1),(107,1),(161,1),(173,1),(174,1),(241,1),(253,1),(284,1)}
       133:{2,4,5}:{(92,1),(97,1),(174,1),(175,1),(240,1)}
       134:{2,6,7}:{(93,1),(94,1),(176,1)}
       135:{2,5,6}:{(93,1),(95,1),(173,1),(176,1),(177,1),(291,1)}
       136:{1,3,5,7}:{(94,1),(95,1),(96,1),(98,1),(176,1),(178,1),(243,1),(248,1),(290,1)}
       137:{1,4,6}:{(95,1),(97,1),(174,1),(177,1),(178,1)}
       138:{2,4,7}:{(96,1),(97,1),(178,1),(180,1)}
       139:{3,4,6}:{(97,1),(102,1),(175,1),(180,1)}
       140:{1,5,6,7}:{(98,1),(100,1),(181,1),(187,1),(231,1)}
       141:{1,4,5,7}:{(98,1),(99,1),(101,1),(178,1),(181,1),(182,1)}
       142:{1,3,5,6}:{(99,1),(102,1),(179,1),(182,1),(183,1),(189,1),(233,1),(251,1),(282,1)}
       143:{2,4,6,7}:{(100,1),(101,1),(103,1),(181,1),(184,1),(190,1),(234,1),(247,1)}
       144:{3,5,7}:{(101,1),(102,1),(180,1),(184,1),(243,1)}
       145:{1,3,6}:{(104,1),(105,1),(172,1),(185,1),(314,1)}
       146:{1,2,5}:{(105,1),(107,1),(173,1),(185,1),(284,1)}
       147:{1,5,7}:{(106,1),(107,1),(108,1),(187,1)}
       148:{1,4,5}:{(107,1),(109,1),(115,1),(189,1)}
       149:{2,5,6}:{(108,1),(110,1),(187,1),(190,1)}
       150:{2,4,5,7}:{(108,1),(109,1),(111,1),(116,1),(188,1),(190,1),(191,1),(252,1)}
       151:{3,5}:{(109,1),(117,1)}
       152:{1,4,6}:{(110,1),(111,1),(190,1),(294,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(114,1),(176,1),(192,1),(248,1),(252,1)}
       154:{1,2,4,6}:{(113,1),(115,1),(177,1),(186,1),(192,1),(193,1),(195,1),(246,1),(291,1)}
       155:{1,4,7}:{(114,1),(115,1),(116,1)}
       156:{1,3,4,6}:{(115,1),(117,1),(189,1),(193,1),(194,1),(195,1),(249,1),(251,1)}
       157:{3,4,7}:{(116,1),(117,1),(191,1),(243,1)}
       158:{1,3,7}:{(118,1),(130,1),(196,1)}
       159:{1,2,4,6}:{(118,1),(119,1),(124,1),(131,1),(196,1),(197,1),(228,1),(257,1),(279,1),(305,1)}
       160:{1,4,6,7}:{(119,1),(120,1),(125,1),(198,1),(206,1),(259,1)}
       161:{1,5}:{(119,1),(121,1)}
       162:{2,5,7}:{(120,1),(121,1),(122,1),(198,1),(200,1)}
       163:{2,4,5}:{(121,1),(123,1),(128,1),(199,1),(202,1),(261,1)}
       164:{1,3,5,6}:{(122,1),(200,1),(203,1),(262,1)}
       165:{1,4,5,7}:{(122,1),(123,1),(129,1),(201,1),(203,1),(299,1)}
       166:{1,2,6,7}:{(124,1),(125,1),(134,1),(204,1),(273,1),(298,1)}
       167:{1,2,5,6}:{(124,1),(126,1),(135,1),(197,1),(204,1),(205,1),(218,1),(261,1),(298,1)}
       168:{1,3,5,7}:{(125,1),(126,1),(127,1),(198,1),(204,1),(206,1),(263,1)}
       169:{1,4,6}:{(126,1),(128,1),(199,1),(206,1),(257,1)}
       170:{2,4,7}:{(127,1),(128,1),(129,1),(206,1),(208,1)}
       171:{3,4,6}:{(128,1),(202,1),(208,1),(213,1),(262,1),(267,1)}
       172:{2,3,6}:{(130,1),(131,1),(145,1),(196,1),(209,1),(213,1),(313,1)}
       173:{2,5}:{(131,1),(132,1)}
       174:{1,4,5}:{(132,1),(133,1),(137,1),(210,1),(219,1),(257,1)}
       175:{3,4,5}:{(133,1),(139,1),(151,1),(202,1),(267,1)}
       176:{2,5,7}:{(134,1),(135,1),(136,1),(212,1),(304,1)}
       177:{2,4,6}:{(135,1),(137,1),(210,1),(212,1),(213,1)}
       178:{1,4,7}:{(136,1),(137,1),(138,1),(212,1)}
       179:{1,3,4,6}:{(137,1),(139,1),(142,1),(211,1),(213,1),(214,1),(215,1),(271,1)}
       180:{3,4,7}:{(138,1),(139,1),(144,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(143,1),(216,1),(221,1),(259,1)}
       182:{1,3,5,7}:{(141,1),(142,1),(144,1),(214,1),(216,1),(217,1)}
       183:{2,5,6}:{(142,1),(215,1),(217,1),(218,1),(223,1),(261,1),(276,1),(298,1)}
       184:{3,6,7}:{(143,1),(144,1),(224,1),(262,1)}
       185:{1,3,5}:{(145,1),(146,1),(209,1),(219,1)}
       186:{1,2,4,5}:{(146,1),(148,1),(154,1),(210,1),(219,1),(220,1),(223,1),(269,1),(274,1),(303,1),(312,1)}
       187:{1,5,6}:{(147,1),(149,1),(221,1)}
       188:{1,4,5,7}:{(147,1),(148,1),(150,1),(155,1),(221,1),(222,1)}
       189:{1,3,5}:{(148,1),(151,1),(156,1),(223,1)}
       190:{2,4,6}:{(149,1),(150,1),(152,1),(221,1),(224,1),(276,1)}
       191:{3,5,7}:{(150,1),(151,1),(157,1),(224,1)}
       192:{1,2,4,7}:{(153,1),(154,1),(155,1),(212,1),(225,1),(227,1),(272,1),(304,1)}
       193:{1,3,6}:{(154,1),(213,1),(220,1),(225,1),(226,1)}
       194:{1,3,4,7}:{(155,1),(156,1),(157,1),(222,1),(225,1),(227,1)}
       195:{2,4,6}:{(156,1),(223,1),(226,1),(227,1),(228,1),(274,1),(276,1)}
       196:{1,3,6}:{(158,1),(159,1),(172,1),(229,1),(311,1)}
       197:{1,2,5}:{(159,1),(161,1),(173,1),(229,1),(253,1)}
       198:{1,5,7}:{(160,1),(161,1),(162,1),(231,1)}
       199:{1,4,5}:{(161,1),(163,1),(169,1),(233,1)}
       200:{2,5,6}:{(162,1),(164,1),(231,1),(234,1)}
       201:{2,4,5,7}:{(162,1),(163,1),(165,1),(170,1),(232,1),(234,1),(235,1),(283,1)}
       202:{3,5}:{(163,1),(171,1)}
       203:{1,4,6}:{(164,1),(165,1),(234,1),(308,1)}
       204:{1,2,5,7}:{(166,1),(167,1),(168,1),(176,1),(236,1),(248,1),(283,1)}
       205:{1,2,4,6}:{(167,1),(169,1),(177,1),(230,1),(236,1),(237,1),(239,1),(246,1),(291,1)}
       206:{1,4,7}:{(168,1),(169,1),(170,1)}
       207:{1,3,4,6}:{(169,1),(171,1),(233,1),(237,1),(238,1),(239,1),(280,1),(282,1)}
       208:{3,4,7}:{(170,1),(171,1),(235,1),(243,1)}
       209:{2,3,5}:{(172,1),(173,1),(185,1),(229,1),(240,1),(241,1)}
       210:{2,4,5}:{(173,1),(174,1),(177,1),(240,1),(241,1)}
       211:{1,3,4,5}:{(174,1),(175,1),(179,1),(189,1),(233,1),(241,1),(242,1),(249,1),(280,1),(289,1)}
       212:{2,4,7}:{(176,1),(177,1),(178,1),(243,1)}
       213:{3,6}:{(177,1),(241,1),(243,1)}
       214:{1,3,4,7}:{(178,1),(179,1),(180,1),(182,1),(243,1),(245,1),(290,1)}
       215:{2,4,6}:{(179,1),(183,1),(242,1),(244,1),(245,1),(246,1),(291,1)}
       216:{1,3,6,7}:{(181,1),(182,1),(184,1),(247,1),(251,1),(282,1)}
       217:{2,5,7}:{(182,1),(183,1),(245,1),(247,1),(248,1)}
       218:{1,5,6}:{(183,1),(246,1),(248,1),(253,1),(284,1),(294,1),(308,1)}
       219:{1,4}:{(185,1),(240,1)}
       220:{1,3,5}:{(186,1),(193,1),(241,1),(249,1),(250,1),(314,1)}
       221:{1,4,6}:{(187,1),(188,1),(190,1),(251,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(191,1),(194,1),(251,1),(252,1)}
       223:{2,5}:{(189,1),(195,1),(253,1)}
       224:{3,6}:{(190,1),(191,1)}
       225:{1,3,7}:{(192,1),(193,1),(243,1),(254,1)}
       226:{2,3,6}:{(193,1),(195,1),(250,1),(254,1),(255,1),(291,1)}
       227:{2,4,7}:{(194,1),(195,1),(252,1),(254,1),(256,1)}
       228:{1,4,6}:{(195,1),(253,1),(255,1),(256,1),(292,1),(294,1)}
       229:{1,3,5}:{(196,1),(197,1),(209,1),(257,1)}
       230:{1,2,4,5}:{(197,1),(199,1),(205,1),(210,1),(257,1),(258,1),(261,1),(269,1),(296,1),(303,1),(305,1)}
       231:{1,5,6}:{(198,1),(200,1),(259,1)}
       232:{1,4,5,7}:{(198,1),(199,1),(201,1),(206,1),(259,1),(260,1)}
       233:{1,3,5}:{(199,1),(202,1),(207,1),(261,1)}
       234:{2,4,6}:{(200,1),(201,1),(203,1),(259,1),(262,1),(298,1)}
       235:{3,5,7}:{(201,1),(202,1),(208,1),(262,1)}
       236:{1,2,4,7}:{(204,1),(205,1),(206,1),(212,1),(263,1),(265,1),(272,1),(304,1)}
       237:{1,3,6}:{(205,1),(213,1),(258,1),(263,1),(264,1)}
       238:{1,3,4,7}:{(206,1),(207,1),(208,1),(260,1),(263,1),(265,1)}
       239:{2,4,6}:{(207,1),(261,1),(264,1),(265,1),(266,1),(296,1),(298,1)}
       240:{2,4}:{(209,1),(219,1),(257,1),(267,1)}
       241:{3,5}:{(210,1),(213,1),(267,1)}
       242:{2,4,5}:{(211,1),(215,1),(223,1),(261,1),(268,1),(269,1),(274,1),(296,1),(303,1)}
       243:{3,7}:{(212,1),(213,1)}
       244:{2,3,6}:{(213,1),(215,1),(268,1),(270,1),(271,1)}
       245:{2,4,7}:{(214,1),(215,1),(217,1),(270,1),(272,1),(304,1)}
       246:{1,4,6}:{(215,1),(218,1),(269,1),(271,1),(272,1)}
       247:{2,6,7}:{(216,1),(217,1),(273,1),(276,1),(298,1)}
       248:{1,5,7}:{(217,1),(218,1),(272,1),(273,1)}
       249:{1,3,4}:{(219,1),(220,1),(267,1),(274,1)}
       250:{2,3,5}:{(220,1),(223,1),(226,1),(274,1),(275,1),(303,1),(313,1)}
       251:{1,3,6}:{(221,1),(222,1),(224,1),(276,1)}
       252:{2,5,7}:{(222,1),(223,1),(227,1),(276,1),(277,1)}
       253:{1,5}:{(223,1),(228,1)}
       254:{2,3,7}:{(225,1),(226,1),(227,1),(278,1),(304,1)}
       255:{1,3,6}:{(226,1),(228,1),(275,1),(278,1),(279,1)}
       256:{1,4,7}:{(227,1),(228,1),(277,1),(278,1)}
       257:{1,4}:{(229,1),(240,1)}
       258:{1,3,5}:{(230,1),(237,1),(241,1),(280,1),(281,1),(311,1)}
       259:{1,4,6}:{(231,1),(232,1),(234,1),(282,1)}
       260:{1,3,5,7}:{(232,1),(233,1),(235,1),(238,1),(282,1),(283,1)}
       261:{2,5}:{(233,1),(239,1),(284,1)}
       262:{3,6}:{(234,1),(235,1)}
       263:{1,3,7}:{(236,1),(237,1),(243,1),(285,1)}
       264:{2,3,6}:{(237,1),(239,1),(281,1),(285,1),(286,1),(291,1)}
       265:{2,4,7}:{(238,1),(239,1),(283,1),(285,1),(287,1)}
       266:{1,4,6}:{(239,1),(284,1),(286,1),(287,1),(306,1),(308,1)}
       267:{3,4}:{(240,1),(241,1)}
       268:{2,3,5}:{(241,1),(242,1),(244,1),(288,1),(289,1)}
       269:{1,4,5}:{(242,1),(246,1),(253,1),(284,1),(289,1),(292,1),(306,1)}
       270:{2,3,7}:{(243,1),(244,1),(245,1),(290,1)}
       271:{1,3,6}:{(244,1),(246,1),(289,1),(290,1),(291,1)}
       272:{1,4,7}:{(245,1),(246,1),(248,1),(290,1)}
       273:{1,6,7}:{(247,1),(248,1),(294,1),(308,1)}
       274:{2,4}:{(249,1),(250,1),(292,1)}
       275:{1,3,5}:{(250,1),(253,1),(255,1),(292,1),(293,1),(311,1)}
       276:{2,6}:{(251,1),(252,1),(294,1)}
       277:{1,5,7}:{(252,1),(253,1),(256,1),(294,1)}
       278:{1,3,7}:{(254,1),(255,1),(256,1),(295,1)}
       279:{1,2,6}:{(255,1),(291,1),(293,1),(295,1)}
       280:{1,3,4}:{(257,1),(258,1),(267,1),(296,1)}
       281:{2,3,5}:{(258,1),(261,1),(264,1),(296,1),(297,1),(303,1),(313,1)}
       282:{1,3,6}:{(259,1),(260,1),(262,1),(298,1)}
       283:{2,5,7}:{(260,1),(261,1),(265,1),(298,1),(299,1)}
       284:{1,5}:{(261,1),(266,1)}
       285:{2,3,7}:{(263,1),(264,1),(265,1),(300,1),(304,1)}
       286:{1,3,6}:{(264,1),(266,1),(297,1),(300,1),(301,1)}
       287:{1,4,7}:{(265,1),(266,1),(299,1),(300,1)}
       288:{2,3,4}:{(267,1),(268,1),(274,1),(296,1),(302,1),(313,1)}
       289:{1,3,5}:{(268,1),(269,1),(271,1),(302,1),(303,1)}
       290:{1,3,7}:{(270,1),(271,1),(272,1),(304,1)}
       291:{2,6}:{(271,1),(303,1),(304,1)}
       292:{1,4}:{(274,1),(275,1)}
       293:{1,2,5}:{(275,1),(279,1),(303,1),(305,1)}
       294:{1,6}:{(276,1),(277,1)}
       295:{1,2,7}:{(278,1),(279,1),(304,1)}
       296:{2,4}:{(280,1),(281,1),(306,1)}
       297:{1,3,5}:{(281,1),(284,1),(286,1),(306,1),(307,1),(314,1)}
       298:{2,6}:{(282,1),(283,1),(308,1)}
       299:{1,5,7}:{(283,1),(284,1),(287,1),(308,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{1,2,6}:{(286,1),(291,1),(307,1),(309,1)}
       302:{1,3,4}:{(288,1),(289,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       303:{2,5}:{(289,1),(291,1),(310,1)}
       304:{2,7}:{(290,1),(291,1)}
       305:{1,2,4}:{(292,1),(293,1),(310,1),(311,1)}
       306:{1,4}:{(296,1),(297,1)}
       307:{1,2,5}:{(297,1),(301,1),(303,1),(312,1)}
       308:{1,6}:{(298,1),(299,1)}
       309:{1,2,7}:{(300,1),(301,1),(304,1)}
       310:{2,4}:{(302,1),(303,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1187 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(24,1),(31,1),(32,1),(194,1),(204,1),(221,1),(325,1),(327,1),(417,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(273,1),(376,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(41,1),(242,1),(256,1),(360,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(417,1),(419,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(204,1),(222,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(61,1),(406,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(65,1),(294,1),(309,1),(325,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(38,1),(83,1),(103,1),(104,1),(151,1),(159,1),(277,1),(280,1),(376,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(46,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(38,1),(50,1),(160,1),(177,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(256,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(90,1),(373,1),(387,1),(388,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(31,1),(204,1),(331,1)}
        14:{1,2,4,5,7}:{(7,1),(25,1),(26,1),(61,1),(117,1),(126,1),(127,1),(196,1),(205,1),(310,1),(314,1),(406,1)}
        15:{1,3,4,5}:{(8,1),(23,1),(27,1),(419,1),(422,1)}
        16:{2,3,5}:{(8,1),(10,1),(27,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(71,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(60,1),(75,1),(123,1),(138,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(61,1),(207,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(309,1),(323,1),(326,1),(339,1),(340,1),(406,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(126,1),(417,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(376,1),(379,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(38,1),(40,1),(41,1),(50,1),(103,1),(151,1),(160,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(42,1),(256,1),(365,1)}
        26:{1,2,4,6,7}:{(14,1),(18,1),(42,1),(43,1),(90,1),(96,1),(156,1),(245,1),(349,1)}
        27:{2,4,5}:{(15,1),(16,1),(38,1),(45,1)}
        28:{1,3,4,5,7}:{(15,1),(17,1),(39,1),(46,1),(47,1),(56,1),(91,1),(113,1)}
        29:{1,3,5}:{(16,1),(19,1),(45,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(103,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(89,1),(165,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(90,1),(109,1),(174,1),(260,1),(272,1),(278,1),(288,1),(290,1),(364,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(371,1),(375,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(72,1),(114,1),(199,1),(228,1),(229,1),(331,1),(398,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(60,1),(61,1)}
        39:{1,3,4,7}:{(23,1),(25,1),(61,1),(406,1),(410,1)}
        40:{1,3,5,6}:{(24,1),(29,1),(60,1),(63,1),(64,1),(75,1),(123,1),(141,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(126,1),(196,1),(207,1)}
        42:{1,3,6,7}:{(25,1),(26,1),(31,1),(65,1),(396,1)}
        43:{1,2,5,6,7}:{(26,1),(32,1),(66,1),(126,1),(202,1),(298,1),(310,1),(416,1)}
        44:{2,3,4,5}:{(27,1),(59,1),(67,1),(134,1),(295,1),(422,1)}
        45:{1,4,5}:{(27,1),(29,1),(60,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(30,1),(61,1),(70,1),(71,1),(126,1)}
        47:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(77,1),(147,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(70,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(71,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(336,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(123,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(125,1),(146,1),(213,1),(230,1),(236,1),(238,1),(318,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(126,1),(216,1),(320,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(406,1),(419,1)}
        57:{2,4,5,6}:{(37,1),(38,1),(82,1),(83,1),(84,1),(103,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(39,1),(84,1),(85,1),(91,1),(152,1),(249,1),(262,1),(263,1),(352,1),(365,1)}
        59:{2,3,4,6}:{(38,1),(44,1),(82,1),(86,1),(87,1),(160,1),(243,1),(379,1)}
        60:{1,4,6}:{(38,1),(40,1),(45,1),(89,1)}
        61:{2,4,7}:{(38,1),(39,1),(41,1),(89,1)}
        62:{1,3,4,6,7}:{(39,1),(42,1),(47,1),(90,1),(91,1),(96,1),(174,1)}
        63:{1,2,5,6}:{(40,1),(48,1),(88,1),(93,1),(107,1),(151,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(89,1),(93,1),(94,1),(165,1),(167,1)}
        65:{2,3,6,7}:{(41,1),(42,1),(50,1),(90,1),(94,1),(245,1)}
        66:{1,3,5,6,7}:{(42,1),(43,1),(51,1),(91,1),(95,1),(96,1),(360,1),(371,1),(372,1)}
        67:{1,3,4,5}:{(44,1),(45,1),(86,1),(97,1),(100,1),(175,1),(342,1)}
        68:{2,3,4,5,7}:{(44,1),(46,1),(87,1),(98,1),(99,1),(113,1),(163,1),(178,1),(193,1),(346,1),(364,1),(378,1),(449,1),(450,1),(459,1),(504,1)}
        69:{1,2,4,5}:{(45,1),(48,1),(88,1),(97,1),(100,1),(105,1)}
        70:{1,4,5,7}:{(45,1),(46,1),(49,1),(89,1),(102,1),(167,1)}
        71:{2,4,6}:{(46,1),(47,1),(50,1),(102,1),(103,1)}
        72:{1,3,5,6}:{(47,1),(91,1),(103,1),(104,1),(186,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(100,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(102,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(103,1),(108,1),(109,1),(186,1),(285,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(165,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(272,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(167,1),(282,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(364,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(331,1)}
        83:{1,4,5,6}:{(57,1),(60,1),(114,1),(117,1),(141,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(61,1),(115,1),(117,1),(118,1),(126,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(67,1),(114,1),(120,1),(121,1),(123,1),(204,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(61,1),(115,1),(121,1),(207,1),(296,1),(410,1)}
        88:{1,2,4,6}:{(60,1),(63,1),(69,1),(120,1),(123,1),(124,1)}
        89:{1,4,7}:{(60,1),(61,1),(64,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(65,1),(71,1),(125,1),(126,1)}
        91:{1,3,5,7}:{(62,1),(72,1),(126,1),(127,1),(216,1)}
        92:{1,2,3,5,6}:{(63,1),(73,1),(123,1),(128,1),(129,1),(144,1),(195,1),(211,1),(231,1),(234,1),(316,1),(321,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(124,1),(130,1),(196,1)}
        94:{1,3,6,7}:{(64,1),(65,1),(75,1),(125,1),(130,1)}
        95:{2,3,5,6,7}:{(65,1),(66,1),(76,1),(126,1),(131,1),(132,1),(216,1),(298,1),(313,1),(320,1),(322,1),(396,1)}
        96:{1,4,6,7}:{(66,1),(77,1),(127,1),(132,1),(406,1)}
        97:{2,4,5}:{(67,1),(120,1),(134,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(135,1),(136,1),(139,1),(209,1),(223,1),(240,1),(318,1),(333,1),(389,1),(406,1),(410,1),(419,1),(422,1),(481,1),(489,1),(525,1)}
        99:{2,3,4,6}:{(68,1),(71,1),(136,1),(137,1),(147,1),(226,1),(237,1),(330,1),(393,1),(480,1),(524,1)}
       100:{1,3,5}:{(69,1),(123,1),(134,1),(138,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(74,1),(124,1),(135,1),(139,1),(140,1),(143,1),(214,1),(234,1),(318,1),(333,1),(525,1),(526,1),(530,1),(547,1)}
       102:{1,4,6}:{(70,1),(71,1),(75,1),(141,1)}
       103:{2,5,6}:{(71,1),(72,1),(126,1),(141,1)}
       104:{1,4,5,6}:{(72,1),(77,1),(127,1),(142,1),(336,1)}
       105:{1,2,4}:{(73,1),(138,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(139,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(141,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(213,1),(236,1),(322,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(320,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(318,1),(333,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(216,1),(410,1),(422,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(365,1)}
       116:{1,2,4,5,6}:{(83,1),(88,1),(151,1),(154,1),(155,1),(169,1),(184,1),(243,1),(269,1),(280,1),(283,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(89,1),(152,1),(156,1),(167,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(91,1),(157,1),(158,1),(253,1),(352,1)}
       120:{2,4,6}:{(86,1),(97,1),(151,1),(160,1),(161,1)}
       121:{1,3,4,7}:{(86,1),(87,1),(89,1),(152,1),(161,1),(165,1),(256,1),(343,1)}
       122:{2,3,4,6,7}:{(87,1),(90,1),(99,1),(153,1),(162,1),(163,1),(174,1),(247,1),(260,1),(272,1),(347,1),(364,1),(437,1),(438,1),(450,1),(496,1)}
       123:{1,3,6}:{(88,1),(100,1),(160,1),(165,1)}
       124:{1,2,4,7}:{(88,1),(89,1),(93,1),(161,1),(165,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(94,1),(102,1),(167,1)}
       126:{2,5,7}:{(90,1),(91,1),(103,1),(167,1)}
       127:{1,4,5,7}:{(91,1),(96,1),(104,1),(168,1),(371,1)}
       128:{1,2,4,6}:{(92,1),(105,1),(164,1),(169,1),(170,1),(243,1),(283,1)}
       129:{1,2,3,5,7}:{(92,1),(93,1),(165,1),(170,1),(171,1),(244,1),(264,1),(266,1),(270,1)}
       130:{1,2,6,7}:{(93,1),(94,1),(107,1),(245,1)}
       131:{1,3,5,6,7}:{(94,1),(95,1),(108,1),(167,1),(172,1),(173,1),(266,1),(268,1),(271,1)}
       132:{2,4,6,7}:{(95,1),(96,1),(109,1),(168,1),(173,1),(174,1),(364,1)}
       133:{1,2,4,5}:{(97,1),(159,1),(175,1),(273,1),(342,1),(355,1)}
       134:{2,3,5}:{(97,1),(100,1),(160,1),(175,1),(177,1)}
       135:{2,4,5,7}:{(97,1),(98,1),(161,1),(178,1),(179,1),(261,1),(364,1),(378,1),(507,1),(513,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(102,1),(179,1),(180,1),(183,1),(276,1),(283,1),(289,1),(376,1),(379,1),(431,1),(539,1)}
       137:{2,3,5,6}:{(99,1),(103,1),(163,1),(180,1),(181,1),(186,1),(285,1),(435,1),(498,1),(534,1)}
       138:{1,3,4}:{(100,1),(105,1),(177,1)}
       139:{1,3,5,7}:{(100,1),(101,1),(165,1),(178,1),(182,1),(183,1),(282,1),(540,1),(543,1)}
       140:{1,2,4,6}:{(101,1),(102,1),(107,1),(179,1),(183,1),(184,1),(283,1),(539,1),(551,1)}
       141:{1,5,6}:{(102,1),(103,1),(167,1)}
       142:{2,4,5,6}:{(103,1),(104,1),(109,1),(168,1),(185,1),(186,1),(285,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(182,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(183,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(285,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(186,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(266,1),(370,1),(506,1),(540,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(268,1),(369,1),(382,1)}
       151:{2,5,6}:{(114,1),(120,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(123,1),(195,1),(199,1),(200,1),(211,1),(316,1),(331,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(124,1),(196,1),(200,1),(201,1),(214,1),(296,1),(314,1),(318,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(126,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(127,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(133,1),(194,1),(204,1),(205,1),(292,1)}
       160:{2,3,6}:{(120,1),(123,1),(134,1),(204,1),(207,1)}
       161:{2,4,7}:{(120,1),(121,1),(196,1),(207,1)}
       162:{1,3,4,6,7}:{(121,1),(122,1),(125,1),(136,1),(197,1),(208,1),(209,1),(213,1),(299,1),(309,1),(318,1),(323,1),(390,1),(396,1),(406,1),(410,1),(472,1),(481,1),(519,1)}
       163:{2,3,5,7}:{(122,1),(126,1),(137,1),(209,1),(210,1),(216,1),(320,1),(394,1),(471,1),(518,1)}
       164:{1,3,4,6}:{(123,1),(128,1),(138,1),(206,1),(211,1),(212,1),(316,1)}
       165:{1,3,7}:{(123,1),(124,1),(207,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(130,1),(140,1),(208,1),(213,1),(214,1),(318,1),(519,1),(520,1),(526,1)}
       167:{1,5,7}:{(125,1),(126,1),(141,1)}
       168:{2,4,5,7}:{(126,1),(127,1),(132,1),(142,1),(215,1),(216,1),(320,1)}
       169:{1,2,4,5}:{(128,1),(211,1),(234,1),(295,1),(333,1)}
       170:{1,2,4,7}:{(128,1),(129,1),(212,1),(296,1),(318,1)}
       171:{1,2,3,6,7}:{(129,1),(130,1),(144,1),(213,1),(218,1),(297,1),(316,1),(548,1)}
       172:{1,2,5,6,7}:{(130,1),(131,1),(145,1),(214,1),(219,1),(298,1),(320,1),(400,1)}
       173:{1,4,6,7}:{(131,1),(132,1),(146,1),(215,1),(318,1)}
       174:{3,4,6,7}:{(132,1),(147,1),(216,1),(396,1),(410,1)}
       175:{1,3,5}:{(133,1),(134,1),(204,1),(222,1)}
       176:{1,2,4,5,7}:{(133,1),(135,1),(205,1),(223,1),(224,1),(240,1),(310,1),(324,1),(341,1),(389,1),(401,1),(406,1),(417,1),(419,1),(483,1),(491,1)}
       177:{2,3,4}:{(134,1),(138,1),(222,1)}
       178:{2,3,5,7}:{(134,1),(135,1),(139,1),(207,1),(223,1),(225,1),(226,1),(329,1),(527,1),(532,1)}
       179:{2,4,6}:{(135,1),(136,1),(226,1),(227,1)}
       180:{1,3,5,6}:{(136,1),(137,1),(141,1),(209,1),(227,1),(228,1),(331,1),(336,1),(466,1),(545,1)}
       181:{2,4,5,6}:{(137,1),(210,1),(228,1),(229,1),(330,1)}
       182:{1,3,4,7}:{(138,1),(139,1),(143,1),(225,1),(230,1),(318,1),(550,1)}
       183:{1,3,6}:{(139,1),(140,1),(226,1)}
       184:{1,2,5,6}:{(140,1),(141,1),(214,1),(227,1),(231,1),(234,1),(545,1)}
       185:{1,4,5,6}:{(141,1),(142,1),(146,1),(215,1),(233,1)}
       186:{3,5,6}:{(142,1),(147,1),(216,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(230,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(231,1),(234,1),(235,1),(236,1),(335,1),(337,1),(488,1),(531,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(233,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(318,1),(414,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(320,1),(414,1),(425,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(160,1),(241,1),(243,1),(244,1),(258,1),(362,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(161,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(163,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(283,1),(379,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(165,1),(244,1),(249,1),(250,1),(365,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(269,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(167,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(168,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,3,6}:{(159,1),(160,1),(175,1),(256,1)}
       205:{1,2,4,7}:{(159,1),(161,1),(242,1),(256,1),(343,1)}
       206:{2,3,4,6}:{(160,1),(164,1),(177,1),(243,1),(255,1),(258,1),(259,1),(362,1)}
       207:{2,3,7}:{(160,1),(161,1),(165,1),(256,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(179,1),(245,1),(260,1),(261,1),(364,1),(499,1),(507,1)}
       209:{1,3,5,7}:{(162,1),(163,1),(167,1),(180,1),(261,1),(262,1),(365,1),(371,1),(432,1),(535,1)}
       210:{2,4,5,7}:{(163,1),(181,1),(247,1),(262,1),(263,1),(364,1)}
       211:{1,3,5}:{(164,1),(169,1),(258,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(170,1),(259,1),(264,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(183,1),(260,1),(266,1),(540,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(184,1),(261,1),(266,1),(535,1)}
       215:{1,4,5,7}:{(167,1),(168,1),(173,1),(185,1),(268,1)}
       216:{3,5,7}:{(168,1),(174,1),(186,1)}
       217:{1,2,4,5,7}:{(169,1),(170,1),(264,1),(269,1),(270,1),(346,1),(368,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(187,1),(265,1),(269,1),(270,1),(347,1),(538,1),(551,1)}
       219:{1,2,4,6,7}:{(172,1),(173,1),(189,1),(267,1),(271,1),(272,1),(349,1),(439,1),(499,1)}
       220:{1,3,4,6,7}:{(173,1),(174,1),(190,1),(268,1),(271,1),(272,1),(369,1)}
       221:{1,2,3,5}:{(175,1),(254,1),(273,1),(355,1)}
       222:{1,3,4}:{(175,1),(177,1),(273,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(256,1),(275,1),(276,1),(375,1),(508,1),(515,1)}
       224:{1,2,4,6}:{(176,1),(179,1),(276,1),(277,1),(289,1),(376,1),(387,1),(431,1),(441,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(182,1),(275,1),(278,1),(364,1),(544,1)}
       226:{2,3,6}:{(178,1),(179,1),(183,1),(276,1)}
       227:{2,5,6}:{(179,1),(180,1),(261,1)}
       228:{1,4,5,6}:{(180,1),(181,1),(262,1),(280,1),(283,1),(376,1)}
       229:{3,4,5,6}:{(181,1),(186,1),(263,1),(379,1),(498,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(187,1),(278,1),(282,1),(283,1)}
       231:{1,3,5,6}:{(183,1),(184,1),(266,1),(279,1),(282,1),(283,1)}
       232:{1,2,4,5,6}:{(184,1),(185,1),(189,1),(267,1),(280,1),(283,1),(284,1),(285,1),(286,1),(381,1),(383,1),(461,1),(512,1)}
       233:{1,3,5,6}:{(185,1),(186,1),(190,1),(268,1),(285,1)}
       234:{1,2,5}:{(187,1),(282,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(283,1),(286,1),(287,1),(383,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(285,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(540,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(371,1),(452,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(204,1),(292,1),(293,1),(307,1),(404,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(205,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(207,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(209,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(210,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(211,1),(295,1),(333,1),(422,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(318,1),(410,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(316,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(214,1),(298,1),(303,1),(321,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(215,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(216,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(221,1),(305,1),(306,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(222,1),(292,1),(305,1),(307,1),(308,1),(404,1)}
       256:{1,3,7}:{(204,1),(205,1),(207,1)}
       257:{1,2,4,6,7}:{(205,1),(208,1),(224,1),(294,1),(309,1),(310,1),(323,1),(390,1),(406,1),(416,1),(483,1)}
       258:{2,3,5}:{(206,1),(211,1),(295,1),(307,1)}
       259:{2,3,4,7}:{(206,1),(207,1),(212,1),(296,1),(308,1),(311,1)}
       260:{2,3,6,7}:{(207,1),(208,1),(213,1),(226,1),(309,1),(313,1),(396,1),(527,1)}
       261:{2,5,7}:{(208,1),(209,1),(227,1)}
       262:{1,4,5,7}:{(209,1),(210,1),(228,1),(299,1),(314,1),(318,1),(406,1)}
       263:{3,4,5,7}:{(210,1),(216,1),(229,1),(300,1),(410,1),(471,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(217,1),(311,1),(316,1)}
       265:{1,3,4,6,7}:{(212,1),(213,1),(218,1),(230,1),(312,1),(316,1),(317,1),(318,1),(413,1),(519,1),(523,1),(546,1)}
       266:{1,3,5,7}:{(213,1),(214,1),(231,1),(313,1),(318,1)}
       267:{1,2,4,5,7}:{(214,1),(215,1),(219,1),(232,1),(314,1),(318,1),(319,1),(320,1),(412,1),(414,1),(482,1),(526,1)}
       268:{1,3,5,7}:{(215,1),(216,1),(220,1),(233,1),(320,1)}
       269:{1,2,4,6}:{(217,1),(316,1),(321,1),(393,1),(413,1)}
       270:{1,2,5,7}:{(218,1),(234,1),(317,1),(321,1),(394,1)}
       271:{1,3,6,7}:{(219,1),(236,1),(319,1),(322,1),(396,1)}
       272:{2,4,6,7}:{(220,1),(237,1),(320,1),(322,1),(323,1),(414,1)}
       273:{1,2,4}:{(221,1),(222,1)}
       274:{1,2,3,5,7}:{(221,1),(223,1),(306,1),(324,1),(325,1),(341,1),(401,1),(417,1),(430,1),(493,1)}
       275:{1,3,4,7}:{(222,1),(223,1),(225,1),(324,1),(326,1),(406,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(226,1)}
       277:{1,2,5,6}:{(224,1),(227,1),(310,1),(327,1),(336,1),(417,1),(466,1)}
       278:{2,3,4,6}:{(225,1),(226,1),(230,1),(326,1),(329,1),(330,1)}
       279:{2,3,5,6}:{(226,1),(227,1),(231,1),(313,1),(327,1),(329,1),(330,1),(331,1)}
       280:{2,4,5,6}:{(227,1),(228,1),(314,1),(330,1),(331,1)}
       281:{1,3,4,5,6}:{(228,1),(229,1),(233,1),(315,1),(331,1),(332,1),(334,1),(420,1),(424,1),(517,1)}
       282:{1,3,5}:{(230,1),(234,1),(329,1),(333,1)}
       283:{1,4,6}:{(231,1),(318,1),(330,1),(333,1)}
       284:{1,3,5,6}:{(232,1),(236,1),(319,1),(331,1),(334,1),(335,1),(337,1),(531,1)}
       285:{2,5,6}:{(233,1),(237,1),(320,1),(336,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(333,1),(337,1),(425,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(531,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(336,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(414,1),(527,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(256,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(258,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(362,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(261,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(262,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(263,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(264,1),(346,1),(351,1),(352,1),(368,1),(449,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(266,1),(348,1),(352,1),(353,1),(367,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(268,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(273,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(256,1),(356,1)}
       307:{1,3,5}:{(255,1),(258,1),(342,1),(355,1)}
       308:{1,3,4,7}:{(255,1),(256,1),(259,1),(343,1),(356,1),(358,1)}
       309:{1,3,6,7}:{(256,1),(257,1),(260,1),(276,1),(360,1),(508,1)}
       310:{1,2,5,7}:{(257,1),(261,1),(277,1),(360,1),(371,1),(432,1)}
       311:{2,3,5,7}:{(258,1),(259,1),(264,1),(346,1),(358,1),(362,1)}
       312:{2,3,4,6,7}:{(259,1),(260,1),(265,1),(278,1),(347,1),(359,1),(362,1),(363,1),(364,1),(437,1),(448,1),(496,1),(502,1),(536,1)}
       313:{2,3,5,7}:{(260,1),(261,1),(266,1),(279,1),(360,1),(364,1),(365,1)}
       314:{2,4,5,7}:{(261,1),(262,1),(280,1),(349,1),(364,1),(365,1)}
       315:{1,3,4,5,7}:{(262,1),(263,1),(268,1),(281,1),(350,1),(365,1),(366,1),(369,1),(446,1),(451,1),(495,1)}
       316:{1,3,6}:{(264,1),(269,1),(362,1)}
       317:{1,3,5,7}:{(265,1),(270,1),(282,1),(363,1),(367,1),(368,1),(535,1)}
       318:{1,4,7}:{(266,1),(283,1),(364,1)}
       319:{1,3,5,7}:{(267,1),(271,1),(284,1),(365,1),(369,1),(370,1),(540,1)}
       320:{2,5,7}:{(268,1),(272,1),(285,1),(371,1)}
       321:{1,2,5,6}:{(269,1),(270,1),(367,1),(435,1),(551,1)}
       322:{2,3,6,7}:{(271,1),(272,1),(288,1),(370,1),(372,1),(499,1)}
       323:{1,4,6,7}:{(272,1),(289,1),(371,1),(372,1),(452,1)}
       324:{1,2,4,7}:{(273,1),(274,1),(275,1),(373,1),(516,1)}
       325:{1,2,3,6}:{(274,1),(276,1),(373,1),(387,1),(441,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(373,1),(375,1),(376,1)}
       327:{1,3,5,6}:{(276,1),(277,1),(279,1),(360,1),(375,1),(376,1)}
       328:{1,2,4,5,6}:{(277,1),(280,1),(361,1),(376,1),(377,1),(381,1),(454,1),(457,1),(461,1),(463,1),(494,1),(500,1),(534,1)}
       329:{2,3,5}:{(278,1),(282,1),(375,1),(378,1)}
       330:{2,4,6}:{(279,1),(283,1),(364,1),(376,1),(378,1),(379,1)}
       331:{3,5,6}:{(280,1),(365,1),(379,1)}
       332:{2,4,5,6}:{(281,1),(285,1),(366,1),(380,1),(381,1),(383,1),(457,1),(461,1),(534,1)}
       333:{1,4,5}:{(282,1),(283,1),(378,1)}
       334:{1,3,4,6}:{(283,1),(284,1),(369,1),(379,1),(382,1),(383,1)}
       335:{2,3,5,6}:{(284,1),(285,1),(288,1),(370,1),(383,1),(384,1),(385,1),(461,1),(514,1)}
       336:{1,5,6}:{(285,1),(289,1),(371,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(383,1),(385,1),(386,1),(514,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(452,1),(508,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(307,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(404,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(310,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(311,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(313,1),(391,1),(394,1),(395,1),(396,1),(408,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(314,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(315,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(316,1),(393,1),(398,1),(413,1),(480,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(318,1),(395,1),(399,1),(413,1)}
       354:{2,5,6,7}:{(304,1),(320,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(307,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(308,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(309,1),(325,1),(402,1),(403,1),(416,1),(469,1),(521,1)}
       358:{1,3,5,7}:{(307,1),(308,1),(311,1),(389,1),(401,1),(404,1)}
       359:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(326,1),(390,1),(402,1),(404,1),(405,1),(406,1),(475,1),(476,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(313,1),(327,1),(406,1)}
       361:{1,2,4,5,7}:{(310,1),(314,1),(328,1),(392,1),(406,1),(407,1),(412,1),(467,1),(478,1),(482,1),(483,1),(518,1)}
       362:{2,3,6}:{(311,1),(316,1),(393,1),(404,1)}
       363:{2,3,5,7}:{(312,1),(317,1),(329,1),(394,1),(405,1),(408,1),(409,1),(471,1),(518,1)}
       364:{2,4,7}:{(313,1),(318,1),(330,1),(406,1),(410,1)}
       365:{3,5,7}:{(314,1),(331,1),(396,1),(410,1)}
       366:{2,4,5,7}:{(315,1),(320,1),(332,1),(397,1),(411,1),(412,1),(414,1),(478,1),(482,1),(518,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(321,1),(408,1),(413,1),(545,1),(546,1)}
       368:{1,4,5,7}:{(317,1),(318,1),(333,1),(409,1),(413,1)}
       369:{1,3,4,7}:{(318,1),(319,1),(334,1),(410,1),(414,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(322,1),(335,1),(414,1),(415,1),(482,1),(527,1)}
       371:{1,5,7}:{(320,1),(323,1),(336,1)}
       372:{1,3,6,7}:{(322,1),(323,1),(339,1),(415,1),(416,1)}
       373:{1,2,4,6}:{(324,1),(325,1),(326,1),(417,1)}
       374:{1,2,3,5,6}:{(325,1),(327,1),(403,1),(417,1),(418,1),(421,1),(427,1),(473,1),(484,1),(492,1),(493,1),(521,1)}
       375:{1,3,5}:{(326,1),(329,1),(417,1),(419,1)}
       376:{1,4,6}:{(327,1),(330,1),(406,1),(419,1)}
       377:{1,3,5,6}:{(328,1),(331,1),(407,1),(420,1),(421,1),(484,1),(492,1),(521,1)}
       378:{2,4,5}:{(329,1),(330,1),(333,1),(419,1),(422,1)}
       379:{3,4,6}:{(330,1),(331,1),(410,1),(422,1)}
       380:{2,3,5,6}:{(331,1),(332,1),(411,1),(423,1),(424,1)}
       381:{1,4,5,6}:{(332,1),(336,1),(412,1),(424,1),(426,1),(487,1),(545,1)}
       382:{1,3,4,5}:{(333,1),(334,1),(337,1),(422,1),(425,1)}
       383:{2,4,6}:{(334,1),(335,1),(414,1),(425,1),(426,1)}
       384:{1,3,5,6}:{(335,1),(336,1),(339,1),(415,1),(426,1),(427,1),(428,1),(492,1)}
       385:{2,3,5}:{(337,1),(338,1),(425,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(426,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(358,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(360,1),(432,1),(433,1),(434,1),(444,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(361,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(362,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(364,1),(433,1),(436,1),(437,1),(448,1)}
       396:{3,6,7}:{(349,1),(365,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(366,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(371,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(358,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(373,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(360,1),(374,1),(442,1),(443,1),(447,1),(453,1),(501,1),(508,1)}
       404:{1,3,6}:{(358,1),(362,1),(431,1),(441,1)}
       405:{1,3,5,7}:{(359,1),(363,1),(375,1),(432,1),(442,1),(444,1),(445,1)}
       406:{1,4,7}:{(360,1),(364,1),(376,1)}
       407:{1,3,5,7}:{(361,1),(365,1),(377,1),(434,1),(446,1),(447,1),(508,1)}
       408:{2,3,5,6}:{(362,1),(363,1),(367,1),(435,1),(444,1),(448,1),(498,1),(534,1),(536,1)}
       409:{2,4,5,7}:{(363,1),(364,1),(368,1),(378,1),(445,1),(448,1),(449,1)}
       410:{3,4,7}:{(364,1),(365,1),(379,1)}
       411:{2,3,5,7}:{(365,1),(366,1),(380,1),(438,1),(450,1),(451,1)}
       412:{1,4,5,7}:{(366,1),(371,1),(381,1),(439,1),(451,1),(452,1),(505,1),(535,1)}
       413:{1,4,6}:{(367,1),(368,1),(448,1)}
       414:{2,4,7}:{(369,1),(370,1),(383,1),(452,1)}
       415:{1,3,5,7}:{(370,1),(371,1),(372,1),(384,1),(452,1),(453,1),(508,1)}
       416:{1,2,6,7}:{(372,1),(387,1),(453,1),(499,1)}
       417:{1,2,5}:{(373,1),(375,1)}
       418:{1,2,4,6}:{(374,1),(376,1),(443,1),(454,1),(455,1),(457,1),(516,1)}
       419:{1,4,5}:{(375,1),(376,1),(378,1)}
       420:{1,3,4,6}:{(376,1),(377,1),(379,1),(446,1),(456,1),(457,1)}
       421:{2,3,5,6}:{(377,1),(447,1),(457,1),(458,1),(461,1),(509,1),(514,1),(534,1),(536,1)}
       422:{3,4,5}:{(378,1),(379,1)}
       423:{2,3,4,6}:{(379,1),(380,1),(383,1),(450,1),(457,1),(459,1),(460,1),(514,1)}
       424:{1,3,5,6}:{(380,1),(381,1),(451,1),(460,1),(461,1)}
       425:{2,4,5}:{(382,1),(383,1),(385,1),(462,1)}
       426:{1,4,6}:{(383,1),(384,1),(452,1),(462,1)}
       427:{1,2,5,6}:{(384,1),(387,1),(453,1),(461,1),(463,1),(464,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(508,1)}
       431:{1,4,6}:{(389,1),(393,1),(404,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(406,1),(467,1),(476,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(407,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(410,1),(471,1),(480,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(411,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(412,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(413,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(404,1)}
       442:{1,2,5,7}:{(402,1),(405,1),(417,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(406,1),(418,1),(475,1),(478,1)}
       444:{1,3,5,6}:{(404,1),(405,1),(408,1),(466,1),(473,1),(476,1),(521,1)}
       445:{1,4,5,7}:{(405,1),(406,1),(409,1),(419,1),(476,1)}
       446:{1,3,4,7}:{(406,1),(407,1),(410,1),(420,1),(478,1)}
       447:{2,3,5,7}:{(407,1),(421,1),(469,1),(478,1),(479,1),(482,1),(518,1),(527,1)}
       448:{2,4,6}:{(408,1),(409,1),(413,1),(476,1),(480,1)}
       449:{3,4,5,7}:{(409,1),(410,1),(422,1),(471,1),(480,1)}
       450:{2,3,4,7}:{(410,1),(411,1),(414,1),(423,1),(478,1),(481,1),(527,1)}
       451:{1,3,5,7}:{(411,1),(412,1),(424,1),(472,1),(481,1),(482,1)}
       452:{1,4,7}:{(414,1),(415,1),(426,1)}
       453:{1,2,5,7}:{(415,1),(416,1),(427,1),(482,1),(483,1)}
       454:{1,2,4,5}:{(417,1),(418,1),(419,1),(484,1),(486,1)}
       455:{1,3,4,6}:{(418,1),(475,1),(484,1),(485,1),(492,1),(521,1),(533,1)}
       456:{1,3,4,5}:{(419,1),(420,1),(422,1),(484,1),(486,1)}
       457:{2,4,6}:{(420,1),(421,1),(478,1),(486,1),(487,1)}
       458:{1,3,5,6}:{(421,1),(479,1),(487,1),(488,1),(528,1),(531,1),(545,1),(546,1)}
       459:{2,3,4,5}:{(422,1),(423,1),(425,1),(486,1),(489,1),(532,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(481,1),(487,1),(489,1),(490,1),(492,1),(531,1)}
       461:{2,5,6}:{(424,1),(482,1),(490,1)}
       462:{1,4,5}:{(425,1),(426,1),(428,1)}
       463:{1,2,4,6}:{(426,1),(427,1),(483,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(495,1),(496,1),(503,1)}
       469:{2,3,6,7}:{(434,1),(447,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(448,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(451,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(444,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(445,1),(454,1),(500,1),(501,1),(504,1)}
       475:{1,3,4,7}:{(443,1),(455,1),(501,1),(502,1),(508,1)}
       476:{1,4,6}:{(444,1),(445,1),(448,1)}
       477:{1,3,4,5,7}:{(445,1),(446,1),(449,1),(456,1),(495,1),(501,1),(503,1),(504,1)}
       478:{2,4,7}:{(446,1),(447,1),(457,1),(505,1)}
       479:{1,3,5,7}:{(447,1),(458,1),(497,1),(505,1),(506,1),(535,1),(540,1)}
       480:{3,4,6}:{(448,1),(449,1),(498,1)}
       481:{1,3,4,7}:{(450,1),(451,1),(452,1),(460,1),(505,1),(507,1),(508,1),(540,1)}
       482:{2,5,7}:{(451,1),(461,1),(499,1),(507,1)}
       483:{1,2,4,7}:{(452,1),(453,1),(463,1),(507,1),(508,1)}
       484:{1,3,5}:{(454,1),(455,1),(509,1)}
       485:{2,3,4,6}:{(455,1),(457,1),(502,1),(509,1),(510,1),(514,1),(536,1),(544,1)}
       486:{2,4,5}:{(456,1),(457,1),(509,1),(511,1)}
       487:{1,4,6}:{(457,1),(458,1),(505,1),(511,1)}
       488:{1,2,5,6}:{(458,1),(461,1),(506,1),(512,1),(541,1),(551,1)}
       489:{1,3,4,5}:{(459,1),(460,1),(462,1),(511,1),(513,1),(515,1),(543,1)}
       490:{2,4,6}:{(460,1),(461,1),(507,1),(513,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(513,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(508,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(476,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(478,1),(518,1),(519,1),(524,1)}
       497:{1,3,6,7}:{(469,1),(479,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(480,1)}
       499:{2,6,7}:{(472,1),(482,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(476,1),(521,1),(524,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(484,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(478,1),(485,1),(522,1),(523,1),(527,1)}
       503:{1,3,4,6}:{(476,1),(477,1),(480,1),(517,1),(521,1),(524,1)}
       504:{2,4,5,7}:{(477,1),(478,1),(486,1),(518,1),(522,1),(524,1),(525,1)}
       505:{1,4,7}:{(478,1),(479,1),(487,1)}
       506:{1,2,5,7}:{(479,1),(482,1),(488,1),(520,1),(526,1)}
       507:{2,4,7}:{(481,1),(482,1),(490,1),(527,1)}
       508:{1,3,7}:{(483,1),(492,1),(527,1)}
       509:{2,3,5}:{(484,1),(485,1),(486,1),(528,1)}
       510:{1,3,4,6}:{(485,1),(487,1),(523,1),(528,1),(529,1),(531,1),(546,1),(550,1)}
       511:{1,4,5}:{(486,1),(487,1),(528,1)}
       512:{1,2,4,6}:{(487,1),(488,1),(490,1),(526,1),(530,1),(531,1)}
       513:{2,4,5}:{(489,1),(490,1),(532,1)}
       514:{2,3,6}:{(490,1),(492,1),(527,1),(531,1),(532,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(503,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(505,1),(535,1),(539,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(506,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(504,1),(509,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(505,1),(510,1),(537,1),(538,1),(540,1)}
       524:{2,4,6}:{(503,1),(504,1),(534,1),(536,1),(539,1)}
       525:{1,4,5,7}:{(504,1),(505,1),(511,1),(535,1),(537,1),(539,1)}
       526:{1,2,4,7}:{(505,1),(506,1),(507,1),(512,1),(540,1)}
       527:{2,3,7}:{(507,1),(508,1),(514,1),(540,1)}
       528:{1,3,5}:{(509,1),(510,1),(511,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(538,1),(541,1),(542,1),(551,1),(552,1)}
       530:{1,2,4,5}:{(511,1),(512,1),(513,1),(541,1),(543,1),(552,1)}
       531:{1,3,6}:{(512,1),(514,1),(540,1),(543,1)}
       532:{2,3,5}:{(513,1),(514,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(524,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(524,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(525,1),(528,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(529,1),(547,1),(548,1)}
       539:{1,4,6}:{(524,1),(525,1),(545,1),(546,1)}
       540:{1,3,7}:{(526,1),(527,1),(531,1)}
       541:{1,2,5}:{(528,1),(529,1)}
       542:{1,2,3,6}:{(529,1),(531,1),(548,1),(549,1)}
       543:{1,3,5}:{(530,1),(531,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(539,1)}
       546:{1,3,6}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(541,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1188 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1189 :   0:{1,2,3,6,7}:{(1,1),(2,1),(41,1),(90,1),(149,1),(237,1),(327,1),(446,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(24,1),(111,1),(119,1),(188,1),(289,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(125,1),(377,1),(403,1),(411,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(75,1),(98,1),(141,1),(171,1),(256,1),(497,1)}
         4:{1,3,4,6,7}:{(1,1),(10,1),(11,1),(15,1),(37,1),(41,1),(79,1),(144,1),(226,1),(327,1),(331,1),(424,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(12,1),(159,1),(339,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(14,1),(41,1),(43,1),(92,1),(237,1),(330,1),(339,1),(358,1),(367,1),(370,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(165,1),(424,1)}
         8:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(19,1),(49,1),(69,1),(129,1),(178,1),(219,1)}
         9:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(50,1),(184,1),(306,1),(465,1),(473,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(28,1),(53,1),(55,1),(64,1),(106,1),(113,1),(119,1),(178,1),(297,1),(300,1),(396,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(275,1),(382,1)}
        12:{1,2,5,6}:{(5,1),(21,1),(24,1),(121,1),(188,1)}
        13:{1,2,4,5,7}:{(5,1),(7,1),(22,1),(24,1),(25,1),(26,1),(60,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(26,1),(27,1),(127,1),(381,1),(418,1)}
        15:{1,3,4,7}:{(7,1),(25,1),(27,1),(28,1),(411,1)}
        16:{1,3,4,6,7}:{(8,1),(10,1),(29,1),(33,1),(45,1),(71,1),(75,1),(93,1),(160,1),(256,1),(260,1),(356,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(30,1),(225,1),(268,1)}
        18:{1,2,3,5,6}:{(9,1),(30,1),(32,1),(75,1),(77,1),(143,1),(171,1),(259,1),(268,1),(426,1),(435,1),(438,1)}
        19:{1,2,4,7}:{(9,1),(32,1),(33,1),(231,1),(356,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(151,1),(159,1),(225,1),(350,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(34,1),(37,1),(41,1),(144,1),(228,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(37,1),(424,1),(429,1)}
        23:{1,2,5,6,7}:{(12,1),(36,1),(39,1),(159,1),(233,1),(252,1),(326,1),(344,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(87,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(41,1),(42,1),(43,1)}
        26:{1,2,4,5}:{(14,1),(43,1),(95,1),(339,1),(429,1)}
        27:{1,3,4,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(367,1),(371,1)}
        28:{2,3,4,7}:{(15,1),(42,1),(44,1),(45,1),(165,1),(363,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(47,1),(205,1),(311,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(49,1),(129,1),(180,1)}
        31:{1,2,4,5,7}:{(17,1),(19,1),(47,1),(49,1),(50,1),(51,1),(102,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(51,1),(52,1),(186,1),(310,1),(480,1)}
        33:{1,3,4,7}:{(19,1),(50,1),(52,1),(53,1),(473,1)}
        34:{2,3,5,6}:{(20,1),(21,1),(46,1),(55,1),(64,1),(106,1),(114,1),(121,1),(180,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(396,1),(399,1)}
        36:{1,3,5,6,7}:{(21,1),(23,1),(54,1),(57,1),(62,1),(118,1),(185,1),(275,1),(377,1)}
        37:{1,4,6}:{(21,1),(22,1),(55,1)}
        38:{1,3,4,5,7}:{(22,1),(25,1),(56,1),(59,1),(60,1),(66,1),(118,1),(124,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(61,1),(62,1),(119,1),(302,1),(393,1),(400,1)}
        40:{1,2,4,5,6}:{(24,1),(26,1),(58,1),(61,1),(63,1),(121,1),(127,1),(208,1),(279,1),(298,1),(308,1),(316,1),(381,1)}
        41:{1,3,6}:{(24,1),(25,1),(64,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(60,1),(64,1),(65,1),(67,1)}
        43:{1,3,5}:{(26,1),(27,1),(67,1)}
        44:{2,3,4,6}:{(27,1),(28,1),(64,1),(67,1),(68,1),(127,1),(317,1),(321,1)}
        45:{1,3,4,7}:{(28,1),(65,1),(68,1),(69,1),(213,1),(313,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(34,1),(71,1),(75,1),(93,1),(162,1)}
        47:{1,4,5,7}:{(29,1),(35,1),(71,1),(356,1),(361,1)}
        48:{1,2,5,6,7}:{(30,1),(70,1),(73,1),(167,1),(225,1),(255,1),(323,1),(344,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(71,1),(75,1),(138,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(75,1),(76,1),(77,1)}
        51:{1,2,4,5}:{(32,1),(77,1),(146,1),(268,1),(361,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(75,1),(77,1),(78,1),(435,1),(439,1)}
        53:{2,3,4,7}:{(33,1),(76,1),(78,1),(79,1),(231,1),(431,1)}
        54:{2,3,5,6,7}:{(34,1),(36,1),(70,1),(80,1),(90,1),(141,1),(151,1),(159,1),(225,1),(344,1),(346,1),(440,1)}
        55:{2,4,6}:{(34,1),(35,1),(37,1),(71,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(151,1),(442,1),(445,1)}
        57:{1,4,6,7}:{(36,1),(37,1),(80,1),(84,1),(424,1)}
        58:{1,4,5,6}:{(37,1),(81,1),(84,1),(86,1),(228,1)}
        59:{1,3,4,6}:{(37,1),(38,1),(41,1),(82,1),(86,1),(87,1)}
        60:{2,4,5,7}:{(38,1),(42,1),(87,1),(88,1),(95,1),(159,1),(165,1)}
        61:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(89,1),(159,1),(165,1),(254,1),(326,1),(345,1),(354,1),(362,1),(424,1)}
        62:{1,3,6,7}:{(39,1),(41,1),(89,1),(90,1),(440,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(91,1),(92,1),(348,1),(367,1)}
        64:{2,3,6}:{(41,1),(42,1),(87,1),(93,1)}
        65:{1,3,5,7}:{(42,1),(45,1),(88,1),(93,1),(94,1),(96,1)}
        66:{1,3,4,5}:{(43,1),(91,1),(95,1),(429,1),(445,1)}
        67:{2,3,5}:{(43,1),(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(93,1),(96,1),(97,1),(169,1),(266,1),(271,1)}
        69:{1,2,4,7}:{(45,1),(94,1),(97,1),(98,1)}
        70:{1,3,5,6,7}:{(46,1),(48,1),(54,1),(99,1),(104,1),(126,1),(177,1),(205,1),(306,1)}
        71:{1,4,6}:{(46,1),(47,1),(55,1)}
        72:{1,3,4,5,7}:{(47,1),(50,1),(56,1),(101,1),(102,1),(108,1),(177,1),(183,1)}
        73:{1,2,4,6,7}:{(48,1),(49,1),(99,1),(103,1),(104,1),(178,1),(373,1),(393,1),(462,1)}
        74:{1,2,4,5,6}:{(49,1),(51,1),(100,1),(103,1),(105,1),(180,1),(186,1),(209,1),(278,1),(298,1),(310,1),(379,1),(387,1)}
        75:{1,3,6}:{(49,1),(50,1),(106,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(106,1),(107,1),(109,1)}
        77:{1,3,5}:{(51,1),(52,1),(109,1)}
        78:{2,3,4,6}:{(52,1),(53,1),(106,1),(109,1),(110,1),(186,1),(388,1),(392,1)}
        79:{1,3,4,7}:{(53,1),(107,1),(110,1),(111,1),(283,1),(384,1)}
        80:{2,4,6,7}:{(54,1),(55,1),(57,1),(99,1),(112,1),(113,1),(396,1)}
        81:{2,4,5,6}:{(55,1),(58,1),(100,1),(112,1),(114,1),(121,1),(180,1)}
        82:{3,4,6}:{(55,1),(56,1),(114,1)}
        83:{2,3,4,5,7}:{(56,1),(60,1),(102,1),(115,1),(116,1),(131,1),(190,1),(196,1),(201,1),(212,1),(282,1),(396,1),(399,1),(483,1),(490,1),(528,1)}
        84:{1,4,5,7}:{(57,1),(58,1),(112,1),(118,1),(275,1)}
        85:{1,3,4,6,7}:{(57,1),(59,1),(62,1),(113,1),(118,1),(119,1),(124,1)}
        86:{1,3,5,6}:{(58,1),(59,1),(114,1),(118,1),(121,1)}
        87:{2,4,6}:{(59,1),(60,1),(64,1),(121,1),(122,1)}
        88:{1,4,5,7}:{(60,1),(65,1),(122,1),(132,1),(205,1),(213,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(63,1),(124,1),(125,1),(395,1),(411,1)}
        90:{2,3,6,7}:{(62,1),(64,1),(119,1),(125,1),(126,1),(400,1)}
        91:{1,3,4,6}:{(63,1),(66,1),(124,1),(127,1),(381,1),(398,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(67,1),(121,1),(125,1),(127,1),(128,1),(308,1),(317,1)}
        93:{1,3,6}:{(64,1),(65,1),(122,1),(129,1)}
        94:{1,2,5,7}:{(65,1),(69,1),(129,1),(133,1)}
        95:{2,4,5}:{(66,1),(67,1),(127,1),(132,1)}
        96:{1,3,5}:{(67,1),(68,1),(132,1),(133,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(129,1),(133,1),(134,1),(222,1)}
        98:{1,2,3,7}:{(69,1),(134,1),(313,1)}
        99:{1,4,6,7}:{(70,1),(71,1),(80,1),(135,1),(356,1)}
       100:{1,4,5,6}:{(71,1),(81,1),(135,1),(137,1),(162,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(75,1),(82,1),(137,1),(138,1)}
       102:{2,4,5,7}:{(72,1),(76,1),(138,1),(139,1),(146,1),(225,1),(231,1)}
       103:{1,2,4,5,7}:{(73,1),(74,1),(135,1),(140,1),(225,1),(231,1),(255,1),(325,1),(345,1),(356,1),(422,1),(430,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(140,1),(141,1),(440,1)}
       105:{1,3,5,6}:{(74,1),(75,1),(77,1),(140,1),(142,1),(143,1),(348,1),(435,1)}
       106:{2,3,6}:{(75,1),(76,1),(138,1),(144,1)}
       107:{1,3,5,7}:{(76,1),(79,1),(139,1),(144,1),(145,1),(147,1)}
       108:{1,3,4,5}:{(77,1),(142,1),(146,1),(361,1),(445,1)}
       109:{2,3,5}:{(77,1),(78,1),(146,1),(147,1)}
       110:{1,3,4,6}:{(78,1),(79,1),(144,1),(147,1),(148,1),(235,1),(337,1),(342,1)}
       111:{1,2,4,7}:{(79,1),(145,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(84,1),(135,1),(151,1),(159,1),(225,1)}
       113:{3,4,6,7}:{(80,1),(82,1),(151,1),(440,1),(442,1)}
       114:{3,5,6}:{(81,1),(82,1),(151,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(87,1),(138,1),(154,1),(155,1),(249,1),(349,1),(515,1),(520,1),(544,1)}
       116:{1,3,4,5,7}:{(83,1),(88,1),(139,1),(155,1),(156,1),(164,1),(173,1),(230,1),(239,1),(245,1),(261,1),(332,1),(356,1),(361,1),(424,1),(429,1),(442,1),(445,1),(519,1),(543,1)}
       117:{1,4,5,6,7}:{(84,1),(150,1),(157,1),(323,1),(343,1),(449,1)}
       118:{1,3,5,7}:{(84,1),(85,1),(86,1),(151,1),(159,1)}
       119:{2,4,6,7}:{(85,1),(87,1),(90,1),(159,1),(160,1),(165,1)}
       120:{1,3,4,5,6}:{(86,1),(91,1),(153,1),(158,1),(161,1),(247,1),(257,1),(348,1),(360,1),(518,1)}
       121:{2,5,6}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,4,6}:{(87,1),(88,1),(93,1),(162,1)}
       123:{1,2,4,5,7}:{(88,1),(94,1),(156,1),(163,1),(164,1),(172,1),(174,1),(255,1),(262,1),(268,1),(340,1),(356,1),(361,1),(430,1),(543,1),(545,1)}
       124:{1,3,4,7}:{(89,1),(91,1),(165,1),(424,1),(442,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(92,1),(159,1),(165,1),(166,1),(354,1),(363,1)}
       126:{1,3,6,7}:{(90,1),(93,1),(160,1),(166,1),(167,1)}
       127:{2,4,6}:{(91,1),(92,1),(95,1),(165,1),(169,1)}
       128:{1,3,5,6}:{(92,1),(93,1),(96,1),(162,1),(166,1),(169,1),(170,1),(266,1)}
       129:{1,2,6}:{(93,1),(94,1)}
       130:{1,2,3,5,7}:{(94,1),(98,1),(164,1),(171,1),(172,1),(175,1),(268,1),(438,1),(507,1),(545,1)}
       131:{2,3,4,5}:{(95,1),(168,1),(173,1),(270,1),(445,1),(455,1)}
       132:{1,4,5}:{(95,1),(96,1),(169,1)}
       133:{1,2,5}:{(96,1),(97,1)}
       134:{1,2,3,6}:{(97,1),(98,1),(175,1),(266,1)}
       135:{1,4,5,7}:{(99,1),(100,1),(112,1),(177,1),(205,1)}
       136:{1,3,4,6,7}:{(99,1),(101,1),(104,1),(113,1),(177,1),(178,1),(183,1)}
       137:{1,3,5,6}:{(100,1),(101,1),(114,1),(177,1),(180,1)}
       138:{2,4,6}:{(101,1),(102,1),(106,1),(180,1),(181,1)}
       139:{1,4,5,7}:{(102,1),(107,1),(181,1),(191,1),(275,1),(283,1)}
       140:{1,3,5,7}:{(103,1),(104,1),(105,1),(183,1),(184,1),(395,1),(473,1)}
       141:{2,3,6,7}:{(104,1),(106,1),(178,1),(184,1),(185,1),(462,1)}
       142:{1,3,4,6}:{(105,1),(108,1),(183,1),(186,1),(310,1),(398,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(109,1),(180,1),(184,1),(186,1),(187,1),(379,1),(388,1)}
       144:{1,3,6}:{(106,1),(107,1),(181,1),(188,1)}
       145:{1,2,5,7}:{(107,1),(111,1),(188,1),(192,1)}
       146:{2,4,5}:{(108,1),(109,1),(186,1),(191,1)}
       147:{1,3,5}:{(109,1),(110,1),(191,1),(192,1)}
       148:{1,2,4,6}:{(110,1),(111,1),(188,1),(192,1),(193,1),(292,1)}
       149:{1,2,3,7}:{(111,1),(193,1),(384,1)}
       150:{2,4,5,6,7}:{(112,1),(117,1),(176,1),(194,1),(203,1),(273,1),(293,1),(393,1),(482,1)}
       151:{3,5,7}:{(112,1),(113,1),(114,1)}
       152:{2,3,4,6,7}:{(113,1),(115,1),(119,1),(178,1),(196,1),(197,1),(212,1),(282,1),(293,1),(297,1),(301,1),(372,1),(396,1),(481,1),(486,1),(524,1)}
       153:{3,4,5,6}:{(114,1),(195,1),(198,1),(398,1),(535,1)}
       154:{2,3,5,6}:{(114,1),(115,1),(121,1),(180,1),(196,1),(198,1),(199,1),(535,1),(537,1),(549,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(122,1),(181,1),(199,1),(200,1),(210,1),(280,1),(310,1),(381,1),(398,1),(538,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(220,1),(290,1),(296,1),(312,1),(383,1),(396,1),(399,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(194,1),(202,1),(203,1),(487,1)}
       158:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(195,1),(202,1),(204,1),(295,1),(304,1),(395,1),(405,1),(487,1)}
       159:{2,5,7}:{(118,1),(119,1),(121,1),(205,1)}
       160:{1,4,6,7}:{(119,1),(122,1),(126,1),(205,1),(213,1)}
       161:{2,4,5,6}:{(120,1),(121,1),(127,1),(204,1),(207,1),(208,1),(308,1),(409,1),(537,1)}
       162:{1,5,6}:{(121,1),(122,1),(205,1)}
       163:{1,2,4,6}:{(122,1),(123,1),(129,1),(200,1),(209,1),(210,1),(310,1),(550,1),(551,1)}
       164:{1,3,5,7}:{(123,1),(201,1),(210,1),(211,1),(221,1),(311,1),(313,1),(391,1),(473,1)}
       165:{2,4,7}:{(124,1),(125,1),(127,1),(213,1)}
       166:{1,3,5,7}:{(125,1),(126,1),(128,1),(205,1),(213,1),(214,1),(313,1)}
       167:{1,2,6,7}:{(126,1),(129,1),(214,1),(400,1)}
       168:{2,3,4,6}:{(127,1),(131,1),(207,1),(212,1),(216,1),(317,1),(398,1),(409,1)}
       169:{1,4,6}:{(127,1),(128,1),(132,1),(213,1)}
       170:{1,2,5,6}:{(128,1),(129,1),(133,1),(214,1),(217,1),(308,1)}
       171:{1,2,3,6}:{(129,1),(130,1),(210,1),(219,1),(551,1)}
       172:{1,2,4,7}:{(130,1),(211,1),(219,1),(222,1),(480,1)}
       173:{1,3,4,5}:{(131,1),(132,1),(216,1),(220,1),(221,1),(320,1),(492,1)}
       174:{1,2,4,5}:{(132,1),(133,1),(217,1),(220,1),(221,1),(222,1)}
       175:{1,2,3,5}:{(133,1),(134,1),(221,1),(222,1)}
       176:{1,4,5,6,7}:{(135,1),(150,1),(223,1),(252,1),(343,1),(500,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(137,1),(151,1),(225,1)}
       178:{2,4,6,7}:{(136,1),(138,1),(141,1),(225,1),(226,1),(231,1)}
       179:{1,3,4,5,6}:{(137,1),(142,1),(153,1),(224,1),(227,1),(247,1),(328,1),(348,1),(428,1),(542,1)}
       180:{2,5,6}:{(137,1),(138,1),(225,1),(228,1)}
       181:{1,4,6}:{(138,1),(139,1),(144,1),(228,1)}
       182:{1,2,4,5,7}:{(139,1),(145,1),(156,1),(229,1),(230,1),(238,1),(240,1),(269,1),(326,1),(333,1),(339,1),(362,1),(424,1),(429,1),(519,1),(521,1)}
       183:{1,3,4,7}:{(140,1),(142,1),(231,1),(356,1),(442,1)}
       184:{2,3,5,7}:{(140,1),(141,1),(143,1),(225,1),(231,1),(232,1),(422,1),(431,1)}
       185:{1,3,6,7}:{(141,1),(144,1),(226,1),(232,1),(233,1)}
       186:{2,4,6}:{(142,1),(143,1),(146,1),(231,1),(235,1)}
       187:{1,3,5,6}:{(143,1),(144,1),(147,1),(228,1),(232,1),(235,1),(236,1),(337,1)}
       188:{1,2,6}:{(144,1),(145,1)}
       189:{1,2,3,5,7}:{(145,1),(149,1),(230,1),(237,1),(238,1),(241,1),(339,1),(370,1),(456,1),(521,1)}
       190:{2,3,4,5}:{(146,1),(234,1),(239,1),(341,1),(445,1),(506,1)}
       191:{1,4,5}:{(146,1),(147,1),(235,1)}
       192:{1,2,5}:{(147,1),(148,1)}
       193:{1,2,3,6}:{(148,1),(149,1),(241,1),(337,1)}
       194:{3,5,6,7}:{(150,1),(151,1),(242,1),(440,1),(513,1)}
       195:{3,4,5,7}:{(151,1),(153,1),(242,1),(244,1),(442,1),(513,1)}
       196:{2,3,5,7}:{(151,1),(152,1),(154,1),(159,1),(225,1),(244,1),(245,1),(513,1),(517,1),(541,1)}
       197:{1,3,4,6,7}:{(152,1),(155,1),(160,1),(226,1),(245,1),(246,1),(256,1),(261,1),(327,1),(332,1),(343,1),(351,1),(356,1),(419,1),(424,1),(440,1),(442,1),(516,1),(540,1)}
       198:{2,4,5,6}:{(153,1),(154,1),(244,1),(247,1),(349,1)}
       199:{1,3,5,6}:{(154,1),(155,1),(162,1),(228,1),(245,1),(247,1),(248,1),(348,1),(547,1),(552,1)}
       200:{2,4,6}:{(155,1),(156,1),(248,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(164,1),(230,1),(249,1),(250,1),(270,1),(341,1),(350,1),(363,1),(431,1)}
       202:{1,3,4,6,7}:{(157,1),(158,1),(242,1),(251,1),(343,1),(351,1),(440,1)}
       203:{2,5,6,7}:{(157,1),(159,1),(251,1),(252,1),(517,1)}
       204:{2,4,5,7}:{(158,1),(159,1),(161,1),(165,1),(251,1),(253,1),(254,1),(354,1),(451,1),(517,1)}
       205:{1,5,7}:{(159,1),(160,1),(162,1)}
       206:{1,2,4,6,7}:{(160,1),(163,1),(167,1),(246,1),(255,1),(256,1),(262,1),(356,1),(430,1),(497,1),(540,1)}
       207:{2,3,5,6}:{(161,1),(168,1),(253,1),(257,1),(348,1)}
       208:{1,4,5,6}:{(161,1),(162,1),(169,1),(254,1),(257,1),(454,1),(547,1)}
       209:{1,2,5,6}:{(162,1),(163,1),(248,1),(255,1),(259,1),(268,1),(552,1)}
       210:{1,3,6}:{(163,1),(164,1),(249,1)}
       211:{1,3,4,7}:{(164,1),(172,1),(250,1),(260,1),(271,1),(356,1),(439,1)}
       212:{2,3,4,7}:{(165,1),(168,1),(253,1),(261,1),(363,1),(442,1),(451,1)}
       213:{1,4,7}:{(165,1),(166,1),(169,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(170,1),(262,1),(354,1)}
       215:{1,2,3,6,7}:{(167,1),(171,1),(256,1),(263,1),(264,1),(447,1),(459,1),(507,1)}
       216:{1,3,4,6}:{(168,1),(169,1),(173,1),(257,1),(261,1),(265,1),(266,1),(367,1),(454,1)}
       217:{1,2,4,6}:{(169,1),(170,1),(174,1),(262,1),(265,1),(266,1)}
       218:{1,2,3,5,6}:{(170,1),(171,1),(175,1),(259,1),(263,1),(266,1),(267,1),(268,1),(359,1),(366,1),(369,1),(459,1)}
       219:{1,2,4,6}:{(171,1),(172,1),(260,1),(268,1)}
       220:{2,4,5}:{(173,1),(265,1),(270,1)}
       221:{1,3,5}:{(174,1),(266,1),(270,1),(271,1)}
       222:{1,2,4}:{(175,1),(271,1)}
       223:{1,3,5,6,7}:{(176,1),(177,1),(194,1),(272,1),(273,1),(525,1)}
       224:{1,3,4,5,7}:{(177,1),(179,1),(183,1),(195,1),(272,1),(274,1),(295,1),(375,1),(395,1),(467,1),(525,1)}
       225:{2,5,7}:{(177,1),(178,1),(180,1),(275,1)}
       226:{1,4,6,7}:{(178,1),(181,1),(185,1),(275,1),(283,1)}
       227:{2,4,5,6}:{(179,1),(180,1),(186,1),(274,1),(277,1),(278,1),(379,1),(471,1),(549,1)}
       228:{1,5,6}:{(180,1),(181,1),(275,1)}
       229:{1,2,4,6}:{(181,1),(182,1),(188,1),(200,1),(279,1),(280,1),(381,1),(538,1),(539,1)}
       230:{1,3,5,7}:{(182,1),(201,1),(280,1),(281,1),(291,1),(320,1),(382,1),(384,1),(411,1)}
       231:{2,4,7}:{(183,1),(184,1),(186,1),(283,1)}
       232:{1,3,5,7}:{(184,1),(185,1),(187,1),(275,1),(283,1),(284,1),(384,1)}
       233:{1,2,6,7}:{(185,1),(188,1),(284,1),(462,1)}
       234:{2,3,4,6}:{(186,1),(190,1),(277,1),(282,1),(286,1),(388,1),(398,1),(471,1)}
       235:{1,4,6}:{(186,1),(187,1),(191,1),(283,1)}
       236:{1,2,5,6}:{(187,1),(188,1),(192,1),(284,1),(287,1),(379,1)}
       237:{1,2,3,6}:{(188,1),(189,1),(280,1),(289,1),(539,1)}
       238:{1,2,4,7}:{(189,1),(281,1),(289,1),(292,1),(418,1)}
       239:{1,3,4,5}:{(190,1),(191,1),(286,1),(290,1),(291,1),(391,1),(530,1)}
       240:{1,2,4,5}:{(191,1),(192,1),(287,1),(290,1),(291,1),(292,1)}
       241:{1,2,3,5}:{(192,1),(193,1),(291,1),(292,1)}
       242:{3,4,6,7}:{(194,1),(195,1),(293,1)}
       243:{2,3,5,6,7}:{(194,1),(196,1),(203,1),(273,1),(293,1),(294,1),(301,1),(372,1)}
       244:{2,4,5,7}:{(195,1),(196,1),(198,1),(293,1),(295,1),(396,1)}
       245:{1,3,5,7}:{(196,1),(197,1),(199,1),(205,1),(275,1),(295,1),(296,1),(395,1),(536,1),(548,1)}
       246:{2,4,6,7}:{(197,1),(200,1),(296,1),(297,1),(312,1),(383,1),(396,1),(400,1),(462,1)}
       247:{1,4,5,6}:{(198,1),(199,1),(295,1),(298,1),(310,1),(381,1)}
       248:{2,5,6}:{(199,1),(200,1),(296,1)}
       249:{2,3,6}:{(200,1),(201,1),(210,1),(280,1)}
       250:{2,3,4,7}:{(201,1),(211,1),(281,1),(300,1),(321,1),(392,1),(396,1)}
       251:{2,4,6,7}:{(202,1),(203,1),(204,1),(301,1),(302,1),(400,1)}
       252:{1,5,6,7}:{(203,1),(205,1),(302,1),(536,1)}
       253:{2,3,5,7}:{(204,1),(207,1),(212,1),(301,1),(304,1),(395,1)}
       254:{1,4,5,7}:{(204,1),(205,1),(208,1),(213,1),(302,1),(304,1),(489,1),(536,1)}
       255:{1,2,5,7}:{(205,1),(206,1),(209,1),(296,1),(306,1),(548,1)}
       256:{1,3,6,7}:{(206,1),(210,1),(297,1),(306,1),(313,1),(473,1)}
       257:{1,3,5,6}:{(207,1),(208,1),(216,1),(304,1),(308,1)}
       258:{1,2,4,5,6}:{(208,1),(209,1),(217,1),(298,1),(305,1),(308,1),(309,1),(310,1),(319,1),(409,1),(414,1),(488,1),(537,1)}
       259:{1,3,5,6}:{(209,1),(210,1),(299,1),(306,1),(310,1),(311,1)}
       260:{1,3,4,6}:{(210,1),(211,1),(219,1),(300,1),(310,1),(311,1)}
       261:{1,3,4,7}:{(212,1),(213,1),(216,1),(304,1),(312,1),(313,1),(411,1),(489,1)}
       262:{1,2,4,7}:{(213,1),(214,1),(217,1),(312,1),(313,1)}
       263:{1,2,3,5,7}:{(214,1),(215,1),(218,1),(306,1),(313,1),(314,1),(315,1),(404,1),(413,1)}
       264:{1,2,4,6,7}:{(215,1),(219,1),(307,1),(314,1),(315,1),(414,1),(486,1),(531,1),(551,1)}
       265:{2,4,6}:{(216,1),(220,1),(308,1),(312,1),(317,1)}
       266:{1,3,6}:{(217,1),(221,1),(313,1),(317,1)}
       267:{1,2,4,6}:{(218,1),(222,1),(310,1),(314,1),(318,1),(319,1),(409,1)}
       268:{1,2,5}:{(219,1),(311,1)}
       269:{1,2,4,5}:{(220,1),(316,1),(320,1),(418,1),(492,1),(496,1)}
       270:{2,3,5}:{(220,1),(221,1),(317,1),(320,1),(321,1)}
       271:{1,3,4}:{(221,1),(222,1),(321,1)}
       272:{1,3,4,6,7}:{(223,1),(224,1),(242,1),(322,1),(343,1),(419,1),(440,1)}
       273:{2,5,6,7}:{(223,1),(225,1),(322,1),(323,1),(541,1)}
       274:{2,4,5,7}:{(224,1),(225,1),(227,1),(231,1),(322,1),(324,1),(325,1),(422,1),(502,1),(541,1)}
       275:{1,5,7}:{(225,1),(226,1),(228,1)}
       276:{1,2,4,6,7}:{(226,1),(229,1),(233,1),(246,1),(326,1),(327,1),(333,1),(362,1),(424,1),(446,1),(516,1)}
       277:{2,3,5,6}:{(227,1),(234,1),(324,1),(328,1),(348,1)}
       278:{1,4,5,6}:{(227,1),(228,1),(235,1),(325,1),(328,1),(505,1),(552,1)}
       279:{1,2,5,6}:{(228,1),(229,1),(248,1),(326,1),(330,1),(339,1),(547,1)}
       280:{1,3,6}:{(229,1),(230,1),(249,1)}
       281:{1,3,4,7}:{(230,1),(238,1),(250,1),(331,1),(342,1),(371,1),(424,1)}
       282:{2,3,4,7}:{(231,1),(234,1),(324,1),(332,1),(431,1),(442,1),(502,1)}
       283:{1,4,7}:{(231,1),(232,1),(235,1)}
       284:{1,2,5,7}:{(232,1),(233,1),(236,1),(333,1),(422,1)}
       285:{1,2,3,6,7}:{(233,1),(237,1),(327,1),(334,1),(335,1),(456,1),(498,1),(510,1)}
       286:{1,3,4,6}:{(234,1),(235,1),(239,1),(328,1),(332,1),(336,1),(337,1),(435,1),(505,1)}
       287:{1,2,4,6}:{(235,1),(236,1),(240,1),(333,1),(336,1),(337,1)}
       288:{1,2,3,5,6}:{(236,1),(237,1),(241,1),(330,1),(334,1),(337,1),(338,1),(339,1),(427,1),(434,1),(437,1),(510,1)}
       289:{1,2,4,6}:{(237,1),(238,1),(331,1),(339,1)}
       290:{2,4,5}:{(239,1),(336,1),(341,1)}
       291:{1,3,5}:{(240,1),(337,1),(341,1),(342,1)}
       292:{1,2,4}:{(241,1),(342,1)}
       293:{2,4,6,7}:{(242,1),(243,1),(244,1),(343,1)}
       294:{1,3,5,6,7}:{(243,1),(245,1),(252,1),(323,1),(343,1),(344,1),(351,1),(419,1),(440,1)}
       295:{1,4,5,7}:{(244,1),(245,1),(247,1),(343,1),(345,1),(356,1),(424,1)}
       296:{2,5,7}:{(245,1),(246,1),(248,1)}
       297:{2,3,6,7}:{(246,1),(249,1),(256,1),(327,1),(346,1),(363,1),(431,1),(440,1)}
       298:{2,4,5,6}:{(247,1),(248,1),(345,1),(348,1),(349,1)}
       299:{2,3,5,6}:{(248,1),(249,1),(259,1),(330,1),(346,1),(348,1),(349,1),(350,1)}
       300:{2,3,4,6}:{(249,1),(250,1),(260,1),(331,1),(349,1),(350,1)}
       301:{2,3,6,7}:{(251,1),(253,1),(351,1),(440,1)}
       302:{1,4,6,7}:{(251,1),(252,1),(254,1),(351,1)}
       303:{1,2,5,6,7}:{(252,1),(255,1),(344,1),(352,1),(353,1),(366,1),(497,1),(517,1)}
       304:{1,3,5,7}:{(253,1),(254,1),(257,1),(261,1),(351,1),(354,1)}
       305:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(262,1),(345,1),(352,1),(354,1),(355,1),(356,1),(449,1),(451,1),(517,1)}
       306:{1,3,5,7}:{(255,1),(256,1),(259,1),(346,1),(356,1)}
       307:{1,3,4,6,7}:{(256,1),(260,1),(264,1),(347,1),(356,1),(357,1),(364,1),(453,1),(459,1),(508,1),(540,1),(546,1)}
       308:{2,5,6}:{(257,1),(265,1),(354,1)}
       309:{1,3,5,6}:{(258,1),(266,1),(348,1),(355,1),(359,1),(360,1),(369,1),(459,1)}
       310:{1,4,6}:{(259,1),(349,1),(356,1),(361,1)}
       311:{1,3,5}:{(260,1),(268,1),(350,1),(361,1)}
       312:{2,4,7}:{(261,1),(265,1),(354,1),(363,1)}
       313:{1,3,7}:{(262,1),(266,1),(363,1)}
       314:{1,2,4,7}:{(263,1),(267,1),(356,1),(364,1),(451,1)}
       315:{1,2,5,7}:{(264,1),(268,1),(357,1),(366,1),(517,1)}
       316:{1,2,4,6}:{(265,1),(269,1),(358,1),(362,1),(367,1),(454,1)}
       317:{2,3,6}:{(265,1),(266,1),(270,1),(363,1),(367,1)}
       318:{1,3,4,6}:{(266,1),(267,1),(271,1),(364,1),(368,1),(369,1),(459,1)}
       319:{1,2,4,5}:{(267,1),(268,1),(361,1),(369,1),(455,1)}
       320:{1,3,5}:{(269,1),(270,1),(367,1),(371,1)}
       321:{2,3,4}:{(270,1),(271,1),(371,1)}
       322:{2,4,6,7}:{(272,1),(273,1),(274,1),(372,1),(373,1),(462,1)}
       323:{1,5,6,7}:{(273,1),(275,1),(373,1),(548,1)}
       324:{2,3,5,7}:{(274,1),(277,1),(282,1),(372,1),(375,1),(395,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(278,1),(283,1),(373,1),(375,1),(527,1),(548,1)}
       326:{1,2,5,7}:{(275,1),(276,1),(279,1),(296,1),(377,1),(536,1)}
       327:{1,3,6,7}:{(276,1),(280,1),(297,1),(377,1),(384,1),(411,1)}
       328:{1,3,5,6}:{(277,1),(278,1),(286,1),(375,1),(379,1)}
       329:{1,2,4,5,6}:{(278,1),(279,1),(287,1),(298,1),(376,1),(379,1),(380,1),(381,1),(390,1),(471,1),(476,1),(526,1),(549,1)}
       330:{1,3,5,6}:{(279,1),(280,1),(299,1),(377,1),(381,1),(382,1)}
       331:{1,3,4,6}:{(280,1),(281,1),(289,1),(300,1),(381,1),(382,1)}
       332:{1,3,4,7}:{(282,1),(283,1),(286,1),(375,1),(383,1),(384,1),(473,1),(527,1)}
       333:{1,2,4,7}:{(283,1),(284,1),(287,1),(383,1),(384,1)}
       334:{1,2,3,5,7}:{(284,1),(285,1),(288,1),(377,1),(384,1),(385,1),(386,1),(466,1),(475,1)}
       335:{1,2,4,6,7}:{(285,1),(289,1),(378,1),(385,1),(386,1),(476,1),(493,1),(524,1),(539,1)}
       336:{2,4,6}:{(286,1),(290,1),(379,1),(383,1),(388,1)}
       337:{1,3,6}:{(287,1),(291,1),(384,1),(388,1)}
       338:{1,2,4,6}:{(288,1),(292,1),(381,1),(385,1),(389,1),(390,1),(471,1)}
       339:{1,2,5}:{(289,1),(382,1)}
       340:{1,2,4,5}:{(290,1),(387,1),(391,1),(480,1),(530,1),(534,1)}
       341:{2,3,5}:{(290,1),(291,1),(388,1),(391,1),(392,1)}
       342:{1,3,4}:{(291,1),(292,1),(392,1)}
       343:{1,4,6,7}:{(293,1),(294,1),(295,1),(393,1)}
       344:{2,5,6,7}:{(294,1),(296,1),(393,1),(400,1),(462,1)}
       345:{2,4,5,7}:{(295,1),(296,1),(298,1),(393,1),(395,1),(396,1)}
       346:{2,3,5,7}:{(296,1),(297,1),(299,1),(306,1),(377,1),(395,1),(396,1)}
       347:{2,3,4,6,7}:{(297,1),(300,1),(307,1),(378,1),(396,1),(397,1),(412,1),(474,1),(481,1),(484,1),(486,1),(495,1),(524,1),(533,1)}
       348:{3,5,6}:{(298,1),(395,1),(398,1)}
       349:{2,4,6}:{(299,1),(310,1),(381,1),(396,1),(398,1),(399,1)}
       350:{2,3,5}:{(300,1),(311,1),(382,1),(399,1)}
       351:{1,3,6,7}:{(301,1),(302,1),(304,1),(400,1)}
       352:{1,2,4,6,7}:{(302,1),(303,1),(305,1),(393,1),(400,1),(401,1),(402,1),(414,1),(486,1)}
       353:{1,3,5,6,7}:{(303,1),(306,1),(394,1),(401,1),(402,1),(407,1),(487,1),(523,1),(548,1)}
       354:{2,5,7}:{(304,1),(308,1),(312,1),(400,1)}
       355:{1,3,5,7}:{(305,1),(309,1),(313,1),(395,1),(401,1),(404,1),(405,1)}
       356:{1,4,7}:{(306,1),(310,1),(396,1)}
       357:{1,3,5,7}:{(307,1),(311,1),(315,1),(397,1),(406,1),(407,1),(548,1)}
       358:{1,2,5,6}:{(308,1),(316,1),(403,1),(408,1),(496,1),(539,1)}
       359:{2,3,5,6}:{(308,1),(309,1),(317,1),(404,1),(408,1),(409,1),(417,1),(495,1),(537,1)}
       360:{1,3,4,6}:{(309,1),(310,1),(398,1),(405,1),(409,1),(410,1)}
       361:{1,4,5}:{(310,1),(311,1),(399,1)}
       362:{1,2,4,7}:{(312,1),(316,1),(403,1),(411,1),(489,1)}
       363:{2,3,7}:{(312,1),(313,1),(317,1),(411,1)}
       364:{1,3,4,7}:{(313,1),(314,1),(318,1),(412,1),(413,1)}
       365:{1,2,4,5,7}:{(314,1),(315,1),(319,1),(406,1),(413,1),(414,1),(490,1)}
       366:{1,2,5,6}:{(315,1),(407,1),(414,1),(537,1),(551,1)}
       367:{1,3,6}:{(316,1),(317,1),(320,1),(411,1)}
       368:{2,3,4,6}:{(317,1),(318,1),(321,1),(409,1),(412,1),(416,1),(417,1),(495,1)}
       369:{1,3,5}:{(318,1),(319,1),(417,1)}
       370:{1,2,3,5}:{(320,1),(415,1),(418,1),(496,1)}
       371:{1,3,4}:{(320,1),(321,1),(418,1)}
       372:{2,3,6,7}:{(322,1),(324,1),(419,1),(440,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(325,1),(419,1)}
       374:{1,2,5,6,7}:{(323,1),(326,1),(344,1),(420,1),(421,1),(434,1),(446,1),(541,1)}
       375:{1,3,5,7}:{(324,1),(325,1),(328,1),(332,1),(419,1),(422,1)}
       376:{1,2,4,5,7}:{(325,1),(326,1),(329,1),(333,1),(345,1),(420,1),(422,1),(423,1),(424,1),(500,1),(502,1),(541,1)}
       377:{1,3,5,7}:{(326,1),(327,1),(330,1),(346,1),(424,1)}
       378:{1,3,4,6,7}:{(327,1),(331,1),(335,1),(347,1),(424,1),(425,1),(432,1),(457,1),(504,1),(510,1),(516,1),(522,1)}
       379:{2,5,6}:{(328,1),(336,1),(422,1)}
       380:{1,3,5,6}:{(329,1),(337,1),(348,1),(423,1),(427,1),(428,1),(437,1),(510,1)}
       381:{1,4,6}:{(330,1),(349,1),(424,1),(429,1)}
       382:{1,3,5}:{(331,1),(339,1),(350,1),(429,1)}
       383:{2,4,7}:{(332,1),(336,1),(422,1),(431,1)}
       384:{1,3,7}:{(333,1),(337,1),(431,1)}
       385:{1,2,4,7}:{(334,1),(338,1),(424,1),(432,1),(502,1)}
       386:{1,2,5,7}:{(335,1),(339,1),(425,1),(434,1),(541,1)}
       387:{1,2,4,6}:{(336,1),(340,1),(426,1),(430,1),(435,1),(505,1)}
       388:{2,3,6}:{(336,1),(337,1),(341,1),(431,1),(435,1)}
       389:{1,3,4,6}:{(337,1),(338,1),(342,1),(432,1),(436,1),(437,1),(510,1)}
       390:{1,2,4,5}:{(338,1),(339,1),(429,1),(437,1),(506,1)}
       391:{1,3,5}:{(340,1),(341,1),(435,1),(439,1)}
       392:{2,3,4}:{(341,1),(342,1),(439,1)}
       393:{2,4,6,7}:{(343,1),(344,1),(345,1),(440,1)}
       394:{2,3,5,6,7}:{(344,1),(346,1),(353,1),(421,1),(440,1),(441,1),(444,1),(447,1),(498,1),(513,1),(517,1),(541,1)}
       395:{3,5,7}:{(345,1),(348,1),(440,1),(442,1)}
       396:{2,4,7}:{(346,1),(349,1),(356,1),(424,1),(442,1)}
       397:{2,3,5,7}:{(347,1),(350,1),(357,1),(425,1),(443,1),(444,1),(513,1),(517,1),(541,1)}
       398:{3,4,6}:{(348,1),(349,1),(442,1),(445,1)}
       399:{2,4,5}:{(349,1),(350,1),(361,1),(429,1),(445,1)}
       400:{2,6,7}:{(351,1),(354,1)}
       401:{1,3,6,7}:{(352,1),(355,1),(440,1),(447,1),(459,1)}
       402:{1,4,6,7}:{(353,1),(356,1),(441,1),(449,1),(453,1)}
       403:{1,2,5,7}:{(354,1),(358,1),(362,1),(446,1),(450,1)}
       404:{2,3,5,7}:{(354,1),(355,1),(359,1),(363,1),(447,1),(450,1),(451,1),(517,1)}
       405:{1,3,4,7}:{(355,1),(356,1),(360,1),(442,1),(451,1)}
       406:{1,4,5,7}:{(356,1),(357,1),(361,1),(443,1),(453,1)}
       407:{1,3,5,6}:{(357,1),(366,1),(444,1),(453,1),(459,1),(546,1),(552,1)}
       408:{1,3,5,6}:{(358,1),(359,1),(367,1),(450,1),(454,1),(461,1),(522,1),(547,1)}
       409:{2,4,6}:{(359,1),(360,1),(451,1),(454,1),(455,1)}
       410:{1,3,4,5}:{(360,1),(361,1),(369,1),(445,1),(455,1)}
       411:{1,3,7}:{(362,1),(363,1),(367,1)}
       412:{2,3,4,7}:{(363,1),(364,1),(368,1),(451,1),(457,1),(458,1)}
       413:{1,3,5,7}:{(364,1),(365,1),(369,1),(458,1),(459,1)}
       414:{1,2,4,6}:{(365,1),(366,1),(453,1),(459,1),(520,1)}
       415:{1,2,3,6}:{(367,1),(370,1),(456,1),(460,1)}
       416:{1,3,4,6}:{(367,1),(368,1),(371,1),(454,1),(457,1),(460,1),(461,1),(522,1)}
       417:{2,3,5}:{(368,1),(369,1),(455,1),(461,1)}
       418:{1,2,4}:{(370,1),(371,1)}
       419:{1,3,6,7}:{(372,1),(373,1),(375,1),(462,1)}
       420:{1,2,4,6,7}:{(373,1),(374,1),(376,1),(393,1),(462,1),(463,1),(464,1),(476,1),(524,1)}
       421:{1,3,5,6,7}:{(374,1),(377,1),(394,1),(463,1),(464,1),(469,1),(485,1),(525,1),(536,1)}
       422:{2,5,7}:{(375,1),(379,1),(383,1),(462,1)}
       423:{1,3,5,7}:{(376,1),(380,1),(384,1),(395,1),(463,1),(466,1),(467,1)}
       424:{1,4,7}:{(377,1),(381,1),(396,1)}
       425:{1,3,5,7}:{(378,1),(382,1),(386,1),(397,1),(468,1),(469,1),(536,1)}
       426:{1,2,5,6}:{(379,1),(387,1),(465,1),(470,1),(534,1),(551,1)}
       427:{2,3,5,6}:{(379,1),(380,1),(388,1),(466,1),(470,1),(471,1),(479,1),(533,1),(549,1)}
       428:{1,3,4,6}:{(380,1),(381,1),(398,1),(467,1),(471,1),(472,1)}
       429:{1,4,5}:{(381,1),(382,1),(399,1)}
       430:{1,2,4,7}:{(383,1),(387,1),(465,1),(473,1),(527,1)}
       431:{2,3,7}:{(383,1),(384,1),(388,1),(473,1)}
       432:{1,3,4,7}:{(384,1),(385,1),(389,1),(474,1),(475,1)}
       433:{1,2,4,5,7}:{(385,1),(386,1),(390,1),(468,1),(475,1),(476,1),(528,1)}
       434:{1,2,5,6}:{(386,1),(469,1),(476,1),(539,1),(549,1)}
       435:{1,3,6}:{(387,1),(388,1),(391,1),(473,1)}
       436:{2,3,4,6}:{(388,1),(389,1),(392,1),(471,1),(474,1),(478,1),(479,1),(533,1)}
       437:{1,3,5}:{(389,1),(390,1),(479,1)}
       438:{1,2,3,5}:{(391,1),(477,1),(480,1),(534,1)}
       439:{1,3,4}:{(391,1),(392,1),(480,1)}
       440:{3,6,7}:{(393,1),(395,1)}
       441:{2,4,6,7}:{(394,1),(396,1),(402,1),(464,1),(481,1),(482,1),(484,1)}
       442:{3,4,7}:{(395,1),(396,1),(398,1)}
       443:{2,4,5,7}:{(396,1),(397,1),(399,1),(406,1),(468,1),(483,1),(484,1)}
       444:{2,3,5,6}:{(397,1),(407,1),(469,1),(484,1),(495,1),(533,1),(535,1),(537,1),(549,1)}
       445:{3,4,5}:{(398,1),(399,1)}
       446:{1,2,6,7}:{(400,1),(403,1),(485,1),(539,1)}
       447:{2,3,6,7}:{(400,1),(401,1),(404,1),(485,1),(486,1),(495,1)}
       448:{1,3,4,6,7}:{(401,1),(402,1),(405,1),(481,1),(486,1),(487,1),(491,1)}
       449:{1,4,5,7}:{(402,1),(482,1),(487,1),(488,1),(548,1)}
       450:{1,3,5,7}:{(403,1),(404,1),(408,1),(411,1),(485,1),(489,1),(536,1)}
       451:{2,4,7}:{(404,1),(405,1),(409,1),(489,1)}
       452:{1,3,4,5,7}:{(405,1),(406,1),(410,1),(413,1),(483,1),(487,1),(490,1),(491,1)}
       453:{1,4,6}:{(406,1),(407,1),(484,1)}
       454:{1,4,6}:{(408,1),(409,1),(489,1),(492,1)}
       455:{2,4,5}:{(409,1),(410,1),(417,1),(492,1)}
       456:{1,2,3,7}:{(411,1),(415,1),(493,1)}
       457:{1,3,4,7}:{(411,1),(412,1),(416,1),(489,1),(493,1),(494,1)}
       458:{2,3,5,7}:{(412,1),(413,1),(417,1),(490,1),(494,1),(495,1)}
       459:{1,3,6}:{(413,1),(414,1),(495,1)}
       460:{1,2,4,6}:{(415,1),(416,1),(418,1),(493,1),(496,1),(539,1)}
       461:{1,3,5}:{(416,1),(417,1),(492,1),(496,1)}
       462:{2,6,7}:{(419,1),(422,1)}
       463:{1,3,6,7}:{(420,1),(423,1),(440,1),(498,1),(510,1)}
       464:{1,4,6,7}:{(421,1),(424,1),(441,1),(500,1),(504,1)}
       465:{1,2,5,7}:{(422,1),(426,1),(430,1),(497,1),(501,1)}
       466:{2,3,5,7}:{(422,1),(423,1),(427,1),(431,1),(498,1),(501,1),(502,1),(541,1)}
       467:{1,3,4,7}:{(423,1),(424,1),(428,1),(442,1),(502,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(429,1),(443,1),(504,1)}
       469:{1,3,5,6}:{(425,1),(434,1),(444,1),(504,1),(510,1),(522,1),(547,1)}
       470:{1,3,5,6}:{(426,1),(427,1),(435,1),(501,1),(505,1),(512,1),(546,1),(552,1)}
       471:{2,4,6}:{(427,1),(428,1),(502,1),(505,1),(506,1)}
       472:{1,3,4,5}:{(428,1),(429,1),(437,1),(445,1),(506,1)}
       473:{1,3,7}:{(430,1),(431,1),(435,1)}
       474:{2,3,4,7}:{(431,1),(432,1),(436,1),(502,1),(508,1),(509,1)}
       475:{1,3,5,7}:{(432,1),(433,1),(437,1),(509,1),(510,1)}
       476:{1,2,4,6}:{(433,1),(434,1),(504,1),(510,1),(544,1)}
       477:{1,2,3,6}:{(435,1),(438,1),(507,1),(511,1)}
       478:{1,3,4,6}:{(435,1),(436,1),(439,1),(505,1),(508,1),(511,1),(512,1),(546,1)}
       479:{2,3,5}:{(436,1),(437,1),(506,1),(512,1)}
       480:{1,2,4}:{(438,1),(439,1)}
       481:{3,4,6,7}:{(440,1),(441,1),(442,1),(513,1),(515,1)}
       482:{2,4,5,7}:{(441,1),(449,1),(500,1),(513,1),(514,1),(517,1),(541,1)}
       483:{3,4,5,7}:{(442,1),(443,1),(445,1),(513,1),(515,1)}
       484:{2,4,6}:{(443,1),(444,1),(453,1),(504,1),(515,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(450,1),(516,1),(522,1)}
       486:{2,4,6,7}:{(447,1),(448,1),(451,1),(516,1),(517,1),(520,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(513,1),(517,1),(518,1)}
       488:{1,4,5,6}:{(449,1),(453,1),(514,1),(518,1),(552,1)}
       489:{1,4,7}:{(450,1),(451,1),(454,1)}
       490:{2,4,5,7}:{(451,1),(452,1),(455,1),(458,1),(517,1),(519,1),(520,1)}
       491:{1,3,4,6}:{(452,1),(453,1),(459,1),(515,1),(518,1),(520,1)}
       492:{1,4,5}:{(454,1),(455,1),(461,1)}
       493:{1,2,4,7}:{(456,1),(457,1),(460,1),(521,1)}
       494:{1,3,5,7}:{(457,1),(458,1),(461,1),(519,1),(521,1),(522,1)}
       495:{2,3,6}:{(458,1),(459,1),(520,1),(522,1)}
       496:{1,2,5}:{(460,1),(461,1)}
       497:{1,2,6,7}:{(462,1),(465,1),(523,1),(551,1)}
       498:{2,3,6,7}:{(462,1),(463,1),(466,1),(523,1),(524,1),(533,1)}
       499:{1,3,4,6,7}:{(463,1),(464,1),(467,1),(481,1),(524,1),(525,1),(529,1)}
       500:{1,4,5,7}:{(464,1),(482,1),(525,1),(526,1),(536,1)}
       501:{1,3,5,7}:{(465,1),(466,1),(470,1),(473,1),(523,1),(527,1),(548,1)}
       502:{2,4,7}:{(466,1),(467,1),(471,1),(527,1)}
       503:{1,3,4,5,7}:{(467,1),(468,1),(472,1),(475,1),(483,1),(525,1),(528,1),(529,1)}
       504:{1,4,6}:{(468,1),(469,1),(484,1)}
       505:{1,4,6}:{(470,1),(471,1),(527,1),(530,1)}
       506:{2,4,5}:{(471,1),(472,1),(479,1),(530,1)}
       507:{1,2,3,7}:{(473,1),(477,1),(531,1)}
       508:{1,3,4,7}:{(473,1),(474,1),(478,1),(527,1),(531,1),(532,1)}
       509:{2,3,5,7}:{(474,1),(475,1),(479,1),(528,1),(532,1),(533,1)}
       510:{1,3,6}:{(475,1),(476,1),(533,1)}
       511:{1,2,4,6}:{(477,1),(478,1),(480,1),(531,1),(534,1),(551,1)}
       512:{1,3,5}:{(478,1),(479,1),(530,1),(534,1)}
       513:{3,5,7}:{(481,1),(482,1),(535,1)}
       514:{2,4,5,6}:{(482,1),(484,1),(488,1),(526,1),(535,1),(537,1),(549,1)}
       515:{3,4,6}:{(483,1),(484,1),(535,1)}
       516:{1,4,6,7}:{(485,1),(486,1),(489,1),(536,1),(538,1)}
       517:{2,5,7}:{(486,1),(487,1),(536,1),(537,1)}
       518:{1,3,5,6}:{(487,1),(488,1),(491,1),(535,1),(537,1)}
       519:{1,4,5,7}:{(489,1),(490,1),(492,1),(494,1),(536,1),(538,1)}
       520:{2,4,6}:{(490,1),(491,1),(495,1),(537,1),(538,1)}
       521:{1,2,5,7}:{(493,1),(494,1),(496,1),(539,1)}
       522:{1,3,6}:{(494,1),(495,1),(538,1),(539,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(501,1),(540,1),(546,1)}
       524:{2,4,6,7}:{(498,1),(499,1),(502,1),(540,1),(541,1),(544,1)}
       525:{1,3,5,7}:{(499,1),(500,1),(513,1),(541,1),(542,1)}
       526:{1,4,5,6}:{(500,1),(504,1),(514,1),(542,1),(547,1)}
       527:{1,4,7}:{(501,1),(502,1),(505,1)}
       528:{2,4,5,7}:{(502,1),(503,1),(506,1),(509,1),(541,1),(543,1),(544,1)}
       529:{1,3,4,6}:{(503,1),(504,1),(510,1),(515,1),(542,1),(544,1)}
       530:{1,4,5}:{(505,1),(506,1),(512,1)}
       531:{1,2,4,7}:{(507,1),(508,1),(511,1),(545,1)}
       532:{1,3,5,7}:{(508,1),(509,1),(512,1),(543,1),(545,1),(546,1)}
       533:{2,3,6}:{(509,1),(510,1),(544,1),(546,1)}
       534:{1,2,5}:{(511,1),(512,1)}
       535:{3,5,6}:{(513,1),(514,1),(515,1)}
       536:{1,5,7}:{(516,1),(517,1),(547,1)}
       537:{2,5,6}:{(517,1),(518,1),(520,1),(547,1)}
       538:{1,4,6}:{(519,1),(520,1),(522,1),(547,1)}
       539:{1,2,6}:{(521,1),(522,1)}
       540:{1,4,6,7}:{(523,1),(524,1),(527,1),(548,1),(550,1)}
       541:{2,5,7}:{(524,1),(525,1),(548,1),(549,1)}
       542:{1,3,5,6}:{(525,1),(526,1),(529,1),(535,1),(549,1)}
       543:{1,4,5,7}:{(527,1),(528,1),(530,1),(532,1),(548,1),(550,1)}
       544:{2,4,6}:{(528,1),(529,1),(533,1),(549,1),(550,1)}
       545:{1,2,5,7}:{(531,1),(532,1),(534,1),(551,1)}
       546:{1,3,6}:{(532,1),(533,1),(550,1),(551,1)}
       547:{1,5,6}:{(536,1),(537,1),(538,1)}
       548:{1,5,7}:{(540,1),(541,1),(552,1)}
       549:{2,5,6}:{(541,1),(542,1),(544,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{1,2,6}:{(545,1),(546,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1190 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1191 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(38,1),(149,1),(171,1)}
         5:{1,2,3,7}:{(1,1),(11,1),(36,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(10,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(20,1),(54,1),(57,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(19,1),(22,1),(174,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(21,1),(23,1),(40,1),(54,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(73,1),(76,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(33,1)}
        19:{1,3,4,7}:{(8,1),(11,1),(31,1),(35,1),(36,1),(77,1),(172,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,6}:{(10,1),(12,1),(34,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(38,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(37,1),(61,1),(77,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(92,1),(95,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{2,3,4,7}:{(16,1),(19,1),(48,1),(52,1),(53,1),(98,1),(165,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(18,1),(50,1),(54,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(102,1),(158,1),(164,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(22,1),(52,1),(55,1),(57,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,5,7}:{(21,1),(23,1),(56,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(22,1),(57,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(65,1),(110,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(113,1)}
        45:{1,2,3,7}:{(26,1),(66,1),(152,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,5}:{(28,1),(30,1),(65,1),(68,1)}
        48:{1,3,4,7}:{(28,1),(31,1),(66,1),(70,1),(71,1),(116,1),(152,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(30,1),(33,1),(68,1),(72,1),(73,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(34,1),(60,1),(69,1),(73,1),(75,1),(76,1),(105,1),(122,1),(144,1),(151,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(35,1),(70,1),(74,1),(76,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,6}:{(33,1),(34,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(33,1),(35,1),(74,1),(77,1),(78,1),(123,1)}
        56:{1,3,5,7}:{(34,1),(36,1),(37,1),(75,1),(77,1),(79,1),(123,1),(168,1),(172,1)}
        57:{1,3,6}:{(35,1),(38,1),(76,1),(78,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,5}:{(44,1),(47,1)}
        66:{1,2,4,7}:{(44,1),(45,1),(48,1),(89,1),(90,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(47,1),(50,1),(92,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(51,1),(80,1),(88,1),(92,1),(94,1),(95,1),(133,1),(140,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(52,1),(89,1),(93,1),(95,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(96,1)}
        73:{2,4,6}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1)}
        74:{2,4,5,7}:{(50,1),(52,1),(55,1),(93,1),(97,1),(98,1),(99,1),(143,1)}
        75:{2,3,5,7}:{(51,1),(53,1),(56,1),(83,1),(94,1),(98,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        76:{2,3,6}:{(52,1),(57,1),(95,1),(99,1)}
        77:{1,4,7}:{(54,1),(56,1),(98,1)}
        78:{1,4,6}:{(55,1),(57,1),(99,1),(102,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(101,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(73,1),(103,1),(105,1),(106,1),(122,1),(144,1),(157,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(65,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(65,1),(67,1),(69,1),(111,1),(112,1),(113,1),(144,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(70,1),(113,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,6}:{(68,1),(69,1),(73,1),(116,1)}
        93:{1,4,5,7}:{(68,1),(70,1),(74,1),(116,1),(117,1),(155,1)}
        94:{1,3,5,7}:{(69,1),(71,1),(75,1),(104,1),(112,1),(116,1),(118,1),(152,1),(155,1)}
        95:{1,3,6}:{(70,1),(76,1),(113,1),(117,1)}
        96:{3,4,6}:{(72,1),(73,1),(105,1),(119,1)}
        97:{3,4,5,7}:{(72,1),(74,1),(119,1),(120,1),(156,1)}
        98:{2,4,7}:{(73,1),(75,1),(77,1),(116,1),(119,1)}
        99:{2,4,6}:{(74,1),(76,1),(78,1),(117,1),(120,1),(122,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(121,1),(147,1),(169,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(121,1),(123,1)}
       102:{1,5,6}:{(78,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(92,1),(124,1),(125,1),(140,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(98,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(88,1),(92,1),(133,1),(134,1),(137,1)}
       112:{1,2,5,7}:{(88,1),(90,1),(94,1),(134,1),(135,1),(159,1)}
       113:{1,2,6}:{(89,1),(95,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(92,1),(96,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,7}:{(92,1),(94,1),(98,1)}
       117:{1,4,6}:{(93,1),(95,1),(99,1),(140,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(139,1)}
       119:{3,4,7}:{(96,1),(98,1),(127,1)}
       120:{3,4,6}:{(97,1),(99,1),(142,1)}
       121:{2,4,6,7}:{(98,1),(99,1),(100,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,5,6}:{(99,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(116,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(112,1),(116,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(116,1),(119,1),(145,1),(152,1),(154,1)}
       139:{1,4,6,7}:{(116,1),(117,1),(118,1),(121,1),(155,1)}
       140:{1,5,6}:{(117,1),(122,1),(155,1)}
       141:{3,4,6,7}:{(119,1),(120,1),(121,1),(147,1),(156,1),(170,1)}
       142:{3,5,6}:{(120,1),(122,1),(156,1),(157,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(156,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       157:{4,5,6}:{(142,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(156,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1192 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(50,1),(81,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(7,1),(29,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(109,1),(154,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(75,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(47,1),(84,1)}
         5:{1,3,4,6}:{(2,1),(12,1),(13,1),(14,1),(15,1),(43,1),(46,1),(50,1),(82,1),(135,1)}
         6:{1,2,4}:{(1,1),(15,1)}
         7:{1,2,5}:{(2,1),(13,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(14,1),(18,1),(167,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(21,1),(57,1)}
        10:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(60,1),(72,1),(125,1)}
        11:{1,2,3,7}:{(4,1),(22,1),(112,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(28,1),(56,1),(62,1),(65,1),(74,1),(111,1)}
        13:{1,3,5}:{(5,1),(7,1),(23,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(8,1),(24,1),(27,1),(69,1),(75,1),(155,1)}
        15:{1,3,4}:{(6,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(6,1),(7,1),(25,1),(29,1),(30,1),(67,1)}
        17:{1,2,5,6}:{(7,1),(26,1),(30,1),(31,1),(32,1),(119,1),(154,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(27,1),(32,1)}
        19:{1,3,4,6}:{(10,1),(12,1),(33,1),(34,1),(35,1),(48,1),(77,1),(80,1),(84,1),(101,1)}
        20:{1,2,4}:{(9,1),(35,1)}
        21:{1,2,5}:{(10,1),(33,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(34,1),(38,1),(147,1)}
        23:{2,3,5}:{(12,1),(13,1),(33,1),(39,1)}
        24:{2,3,4,7}:{(12,1),(14,1),(34,1),(41,1),(90,1),(102,1),(136,1)}
        25:{1,4,5}:{(13,1),(39,1),(43,1)}
        26:{1,3,5,6}:{(13,1),(17,1),(40,1),(43,1),(45,1),(46,1),(50,1),(99,1),(135,1),(162,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(18,1),(41,1),(44,1),(46,1)}
        28:{2,3,4}:{(15,1),(48,1),(49,1)}
        29:{1,3,5}:{(15,1),(16,1),(49,1),(50,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(43,1),(50,1),(51,1),(96,1)}
        31:{1,2,5,7}:{(17,1),(45,1),(51,1),(52,1),(143,1),(167,1)}
        32:{1,2,6}:{(18,1),(46,1)}
        33:{1,3,5}:{(19,1),(21,1),(23,1),(53,1)}
        34:{1,3,4,7}:{(19,1),(22,1),(24,1),(55,1),(106,1),(112,1),(126,1)}
        35:{1,3,4}:{(20,1),(56,1),(57,1)}
        36:{1,2,4,5}:{(20,1),(21,1),(53,1),(57,1),(58,1),(104,1)}
        37:{1,2,5,6}:{(21,1),(54,1),(58,1),(59,1),(60,1),(125,1),(148,1)}
        38:{1,2,5,7}:{(21,1),(22,1),(55,1),(60,1)}
        39:{2,4,5}:{(23,1),(25,1),(53,1),(61,1),(62,1)}
        40:{2,3,5,6}:{(23,1),(26,1),(54,1),(62,1),(64,1),(65,1),(74,1),(111,1),(113,1),(118,1),(119,1),(148,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(27,1),(55,1),(63,1),(65,1)}
        42:{1,3,4,5}:{(25,1),(29,1),(61,1),(67,1),(68,1)}
        43:{1,4,6}:{(25,1),(26,1),(62,1),(69,1)}
        44:{1,4,5,7}:{(25,1),(27,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,3,5,7}:{(26,1),(31,1),(64,1),(69,1),(71,1),(75,1),(124,1),(155,1),(171,1)}
        46:{1,3,6}:{(27,1),(32,1),(65,1),(70,1)}
        47:{1,2,3}:{(72,1)}
        48:{1,3,4}:{(28,1),(72,1),(73,1)}
        49:{2,3,5}:{(28,1),(29,1),(67,1),(73,1),(74,1)}
        50:{1,3,6}:{(29,1),(30,1),(74,1),(75,1)}
        51:{1,2,4,7}:{(30,1),(31,1),(69,1),(75,1),(123,1)}
        52:{1,2,6,7}:{(31,1),(32,1),(71,1),(161,1)}
        53:{1,4,5}:{(33,1),(39,1),(77,1)}
        54:{1,3,5,6}:{(33,1),(37,1),(40,1),(77,1),(79,1),(80,1),(84,1),(101,1),(133,1),(142,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(38,1),(41,1),(78,1),(80,1)}
        56:{2,3,4}:{(35,1),(82,1),(83,1)}
        57:{1,3,5}:{(35,1),(36,1),(83,1),(84,1)}
        58:{1,2,4,6}:{(36,1),(37,1),(77,1),(84,1),(85,1),(130,1)}
        59:{1,2,5,7}:{(37,1),(79,1),(85,1),(86,1),(147,1),(163,1)}
        60:{1,2,6}:{(38,1),(80,1)}
        61:{3,4,5}:{(39,1),(88,1)}
        62:{2,4,6}:{(39,1),(40,1),(43,1),(77,1),(88,1),(90,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(78,1),(89,1),(90,1),(91,1),(141,1)}
        64:{2,3,5,7}:{(40,1),(45,1),(79,1),(90,1),(92,1),(102,1),(136,1),(137,1),(141,1),(143,1),(163,1)}
        65:{2,3,6}:{(41,1),(46,1),(80,1),(91,1)}
        66:{1,4,5,6}:{(43,1),(87,1),(93,1),(94,1),(99,1),(162,1)}
        67:{2,4,5}:{(42,1),(49,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(42,1),(43,1),(50,1),(88,1),(93,1),(96,1),(97,1)}
        69:{1,4,7}:{(43,1),(45,1),(90,1)}
        70:{1,4,6}:{(44,1),(46,1),(91,1),(99,1)}
        71:{1,3,6,7}:{(45,1),(46,1),(52,1),(92,1),(98,1),(174,1)}
        72:{1,2,4}:{(47,1),(48,1),(100,1)}
        73:{1,3,5}:{(48,1),(49,1),(95,1),(100,1),(101,1)}
        74:{2,3,6}:{(49,1),(50,1),(96,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(51,1),(102,1)}
        76:{1,3,4,5}:{(53,1),(57,1),(61,1),(104,1),(105,1)}
        77:{1,4,6}:{(53,1),(54,1),(62,1),(106,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(63,1),(106,1),(107,1),(153,1)}
        79:{1,3,5,7}:{(54,1),(59,1),(64,1),(106,1),(108,1),(112,1),(126,1),(153,1),(160,1)}
        80:{1,3,6}:{(55,1),(60,1),(65,1),(107,1)}
        81:{1,2,3}:{(109,1)}
        82:{1,3,4}:{(56,1),(109,1),(110,1)}
        83:{2,3,5}:{(56,1),(57,1),(104,1),(110,1),(111,1)}
        84:{1,3,6}:{(57,1),(58,1),(111,1),(112,1)}
        85:{1,2,4,7}:{(58,1),(59,1),(106,1),(112,1),(152,1)}
        86:{1,2,6,7}:{(59,1),(60,1),(108,1),(172,1)}
        87:{2,4,5,6}:{(62,1),(66,1),(103,1),(113,1),(114,1),(118,1),(119,1),(148,1),(159,1)}
        88:{3,4,6}:{(61,1),(62,1),(113,1),(115,1)}
        89:{3,4,5,7}:{(61,1),(63,1),(115,1),(116,1),(158,1)}
        90:{2,4,7}:{(62,1),(64,1),(69,1),(106,1),(115,1)}
        91:{2,4,6}:{(63,1),(65,1),(70,1),(107,1),(116,1),(118,1)}
        92:{2,3,6,7}:{(64,1),(65,1),(71,1),(108,1),(117,1),(156,1),(161,1),(172,1)}
        93:{1,3,5,6}:{(66,1),(68,1),(113,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(66,1),(69,1),(114,1),(120,1),(121,1),(124,1),(171,1)}
        95:{1,4,5}:{(67,1),(73,1),(122,1)}
        96:{2,4,6}:{(67,1),(68,1),(74,1),(119,1),(122,1),(123,1)}
        97:{1,3,4,7}:{(68,1),(69,1),(75,1),(115,1),(120,1),(123,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(71,1),(117,1),(124,1)}
        99:{1,5,6}:{(70,1),(118,1),(124,1)}
       100:{1,2,5}:{(72,1),(73,1),(125,1)}
       101:{1,3,6}:{(73,1),(74,1),(122,1),(125,1),(126,1)}
       102:{2,3,7}:{(74,1),(75,1),(123,1),(126,1)}
       103:{1,4,5,6}:{(77,1),(87,1),(127,1),(128,1),(133,1),(142,1)}
       104:{2,4,5}:{(76,1),(83,1),(129,1),(130,1)}
       105:{1,3,4,6}:{(76,1),(77,1),(84,1),(88,1),(127,1),(130,1),(131,1)}
       106:{1,4,7}:{(77,1),(79,1),(90,1)}
       107:{1,4,6}:{(78,1),(80,1),(91,1),(133,1)}
       108:{1,3,6,7}:{(79,1),(80,1),(86,1),(92,1),(132,1),(170,1)}
       109:{1,2,4}:{(81,1),(82,1),(134,1)}
       110:{1,3,5}:{(82,1),(83,1),(129,1),(134,1),(135,1)}
       111:{2,3,6}:{(83,1),(84,1),(130,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(136,1)}
       113:{3,5,6}:{(87,1),(88,1),(137,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(94,1),(128,1),(137,1),(138,1),(141,1),(143,1),(163,1),(169,1)}
       115:{3,4,7}:{(88,1),(90,1),(137,1)}
       116:{3,4,6}:{(89,1),(91,1),(140,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(92,1),(98,1),(132,1),(139,1),(141,1)}
       118:{2,5,6}:{(91,1),(99,1),(133,1),(140,1),(141,1)}
       119:{2,5,6}:{(93,1),(96,1),(142,1),(143,1)}
       120:{1,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(143,1),(144,1)}
       121:{1,4,6,7}:{(94,1),(138,1),(144,1),(145,1),(174,1)}
       122:{1,4,6}:{(95,1),(96,1),(101,1),(142,1),(146,1)}
       123:{2,4,7}:{(96,1),(97,1),(102,1),(143,1),(146,1)}
       124:{1,5,7}:{(98,1),(99,1),(141,1)}
       125:{1,2,6}:{(100,1),(101,1),(147,1)}
       126:{1,3,7}:{(101,1),(102,1),(146,1),(147,1)}
       127:{1,3,5,6}:{(103,1),(105,1),(113,1),(148,1),(149,1)}
       128:{1,4,5,7}:{(103,1),(106,1),(114,1),(149,1),(150,1),(153,1),(160,1)}
       129:{1,4,5}:{(104,1),(110,1),(151,1)}
       130:{2,4,6}:{(104,1),(105,1),(111,1),(148,1),(151,1),(152,1)}
       131:{1,3,4,7}:{(105,1),(106,1),(112,1),(115,1),(149,1),(152,1)}
       132:{1,4,6,7}:{(106,1),(107,1),(108,1),(117,1),(153,1)}
       133:{1,5,6}:{(107,1),(118,1),(153,1)}
       134:{1,2,5}:{(109,1),(110,1),(154,1)}
       135:{1,3,6}:{(110,1),(111,1),(151,1),(154,1),(155,1)}
       136:{2,3,7}:{(111,1),(112,1),(152,1),(155,1)}
       137:{3,5,7}:{(113,1),(114,1),(115,1),(156,1)}
       138:{2,4,6,7}:{(114,1),(121,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,4,6,7}:{(115,1),(116,1),(117,1),(156,1),(158,1),(173,1)}
       140:{3,5,6}:{(116,1),(118,1),(158,1),(159,1)}
       141:{2,5,7}:{(117,1),(118,1),(124,1),(153,1),(158,1)}
       142:{1,5,6}:{(119,1),(122,1),(160,1)}
       143:{2,5,7}:{(119,1),(120,1),(123,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(120,1),(121,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(121,1),(124,1),(157,1)}
       146:{1,4,7}:{(122,1),(123,1),(126,1),(160,1)}
       147:{1,2,7}:{(125,1),(126,1)}
       148:{2,5,6}:{(127,1),(130,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(127,1),(128,1),(131,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(128,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(129,1),(130,1),(135,1),(162,1),(166,1)}
       152:{2,4,7}:{(130,1),(131,1),(136,1),(163,1),(166,1)}
       153:{1,5,7}:{(132,1),(133,1),(141,1)}
       154:{1,2,6}:{(134,1),(135,1),(167,1)}
       155:{1,3,7}:{(135,1),(136,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(141,1),(145,1),(165,1),(168,1)}
       158:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       159:{4,5,6}:{(140,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(158,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1193 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1194 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1195 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1196 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

1197 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1198 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1199 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1200 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1201 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1202 :   0:{1,2,3,5}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(24,1),(144,1)}
         3:{1,2,3}:{(8,1)}
         4:{1,3,4}:{(1,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(1,1),(11,1),(13,1),(14,1),(36,1),(43,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(46,1),(123,1),(157,1)}
         7:{1,2,3,7}:{(2,1),(15,1),(42,1)}
         8:{1,2,4}:{(3,1),(16,1),(17,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(20,1),(97,1)}
        10:{2,3,4}:{(4,1),(16,1),(21,1)}
        11:{1,3,5}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(22,1),(24,1),(25,1),(26,1),(63,1),(66,1),(101,1),(141,1)}
        13:{1,2,4,6}:{(5,1),(24,1),(27,1),(28,1),(56,1),(63,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(26,1),(29,1),(168,1)}
        16:{1,3,4}:{(8,1),(10,1),(30,1)}
        17:{1,2,5}:{(8,1),(30,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        19:{1,2,3,5}:{(9,1),(33,1),(35,1),(75,1)}
        20:{1,2,3,7}:{(9,1),(34,1),(121,1)}
        21:{2,3,5}:{(10,1),(11,1),(30,1),(36,1),(37,1)}
        22:{2,3,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1),(39,1),(77,1),(80,1),(84,1),(120,1)}
        23:{1,3,4,5}:{(11,1),(36,1),(40,1),(43,1),(82,1)}
        24:{1,3,6}:{(11,1),(13,1),(37,1),(42,1)}
        25:{1,3,5}:{(12,1),(14,1),(38,1),(43,1)}
        26:{1,3,4,7}:{(12,1),(15,1),(39,1),(42,1),(44,1),(87,1),(158,1)}
        27:{1,2,5,6}:{(13,1),(14,1),(41,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,4,7}:{(13,1),(42,1),(45,1),(79,1),(87,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(44,1),(46,1)}
        30:{1,3,5}:{(16,1),(17,1),(21,1),(47,1),(48,1)}
        31:{1,3,4,6}:{(16,1),(18,1),(22,1),(48,1),(49,1),(50,1),(55,1),(92,1),(96,1),(97,1)}
        32:{1,2,6}:{(17,1),(48,1),(52,1)}
        33:{1,2,5}:{(18,1),(49,1)}
        34:{1,2,4,7}:{(18,1),(20,1),(50,1),(52,1),(54,1)}
        35:{1,2,4}:{(19,1),(55,1)}
        36:{2,4,5}:{(21,1),(23,1),(47,1),(56,1)}
        37:{2,3,6}:{(21,1),(24,1),(48,1),(56,1),(58,1)}
        38:{2,3,5}:{(22,1),(25,1),(49,1),(59,1)}
        39:{2,3,4,7}:{(22,1),(26,1),(50,1),(58,1),(60,1),(105,1),(142,1)}
        40:{1,3,4,6}:{(23,1),(24,1),(56,1),(61,1),(62,1),(63,1),(104,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(57,1),(63,1),(64,1),(66,1),(112,1),(141,1),(163,1)}
        42:{1,3,7}:{(24,1),(28,1),(58,1)}
        43:{1,4,5}:{(25,1),(59,1),(63,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(29,1),(60,1),(65,1),(66,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(64,1),(67,1),(103,1),(168,1)}
        46:{1,2,6}:{(29,1),(66,1)}
        47:{1,4,5}:{(30,1),(36,1),(68,1)}
        48:{1,3,6}:{(30,1),(32,1),(37,1),(68,1),(70,1)}
        49:{1,3,5}:{(31,1),(33,1),(38,1),(71,1)}
        50:{1,3,4,7}:{(31,1),(34,1),(39,1),(70,1),(72,1),(116,1),(121,1)}
        51:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(76,1),(151,1)}
        52:{1,2,7}:{(32,1),(70,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(71,1),(73,1),(75,1),(118,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(72,1),(76,1)}
        55:{1,3,4}:{(35,1),(75,1),(77,1)}
        56:{2,4,6}:{(36,1),(37,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(69,1),(78,1),(80,1),(81,1),(84,1),(120,1),(124,1),(130,1),(151,1)}
        58:{2,3,7}:{(37,1),(42,1),(70,1),(79,1)}
        59:{2,4,5}:{(38,1),(43,1),(71,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(44,1),(72,1),(83,1),(84,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(124,1)}
        62:{1,3,4,7}:{(40,1),(42,1),(79,1),(86,1),(87,1),(127,1)}
        63:{1,4,6}:{(41,1),(43,1),(80,1),(87,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(45,1),(81,1),(87,1),(88,1),(132,1),(158,1),(171,1)}
        65:{1,4,5,7}:{(43,1),(44,1),(83,1),(87,1),(89,1),(132,1)}
        66:{1,3,6}:{(44,1),(46,1),(84,1),(89,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(88,1),(126,1)}
        68:{1,4,6}:{(47,1),(48,1),(56,1),(90,1),(91,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(51,1),(57,1),(90,1),(92,1),(93,1),(96,1),(97,1),(140,1)}
        70:{1,3,7}:{(48,1),(52,1),(58,1),(91,1)}
        71:{1,4,5}:{(49,1),(59,1),(92,1)}
        72:{1,3,5,7}:{(49,1),(50,1),(54,1),(60,1),(95,1),(96,1)}
        73:{1,2,4,6}:{(51,1),(53,1),(92,1),(97,1),(98,1),(136,1)}
        74:{1,2,5,7}:{(51,1),(52,1),(93,1),(98,1),(99,1),(164,1)}
        75:{1,3,5}:{(53,1),(55,1),(97,1),(100,1)}
        76:{1,2,6}:{(54,1),(96,1)}
        77:{2,3,4}:{(55,1),(100,1),(101,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(103,1)}
        79:{2,4,7}:{(56,1),(58,1),(62,1),(91,1),(103,1)}
        80:{2,4,6}:{(57,1),(59,1),(63,1),(92,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(57,1),(58,1),(64,1),(93,1),(103,1),(105,1),(106,1),(142,1),(145,1),(148,1),(164,1)}
        82:{3,4,5}:{(59,1),(104,1)}
        83:{2,4,5,7}:{(59,1),(60,1),(65,1),(95,1),(105,1),(107,1),(108,1),(148,1)}
        84:{2,3,6}:{(60,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(102,1),(109,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(103,1),(109,1),(110,1),(145,1)}
        87:{1,4,7}:{(63,1),(64,1),(105,1)}
        88:{1,3,6,7}:{(64,1),(66,1),(67,1),(106,1),(111,1),(174,1)}
        89:{1,4,6}:{(65,1),(66,1),(108,1),(112,1)}
        90:{1,5,6}:{(68,1),(78,1),(114,1)}
        91:{1,4,7}:{(68,1),(70,1),(79,1),(114,1)}
        92:{1,4,6}:{(69,1),(71,1),(80,1),(116,1)}
        93:{1,3,5,7}:{(69,1),(70,1),(74,1),(81,1),(114,1),(116,1),(117,1),(121,1),(156,1)}
        94:{1,3,4,5}:{(71,1),(75,1),(82,1),(115,1),(118,1)}
        95:{1,4,5,7}:{(71,1),(72,1),(83,1),(116,1),(119,1),(156,1)}
        96:{1,3,6}:{(72,1),(76,1),(84,1),(119,1)}
        97:{1,3,6}:{(73,1),(75,1),(120,1),(121,1)}
        98:{1,2,4,7}:{(73,1),(74,1),(116,1),(121,1),(155,1)}
        99:{1,2,6,7}:{(74,1),(76,1),(117,1),(172,1)}
       100:{2,3,5}:{(75,1),(77,1),(118,1),(120,1),(122,1)}
       101:{1,3,4}:{(77,1),(122,1),(123,1)}
       102:{2,4,5,6}:{(78,1),(80,1),(85,1),(113,1),(124,1),(125,1),(130,1),(151,1),(162,1)}
       103:{2,5,7}:{(78,1),(79,1),(86,1),(114,1),(126,1)}
       104:{3,4,6}:{(80,1),(82,1),(124,1),(127,1)}
       105:{2,4,7}:{(80,1),(81,1),(87,1),(116,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(84,1),(88,1),(117,1),(126,1),(128,1),(159,1),(172,1)}
       107:{3,4,5,7}:{(82,1),(83,1),(127,1),(129,1),(161,1)}
       108:{2,4,6}:{(83,1),(84,1),(89,1),(119,1),(129,1),(130,1)}
       109:{1,4,5,7}:{(85,1),(86,1),(87,1),(125,1),(131,1),(132,1),(171,1)}
       110:{1,3,6,7}:{(86,1),(126,1),(131,1),(159,1)}
       111:{1,4,6,7}:{(87,1),(88,1),(89,1),(128,1),(132,1)}
       112:{1,5,6}:{(89,1),(130,1),(132,1)}
       113:{1,4,5,6}:{(90,1),(92,1),(102,1),(133,1),(134,1),(140,1)}
       114:{1,5,7}:{(90,1),(91,1),(103,1),(135,1)}
       115:{1,3,4,6}:{(92,1),(94,1),(97,1),(104,1),(133,1),(136,1),(137,1)}
       116:{1,4,7}:{(92,1),(93,1),(105,1)}
       117:{1,3,6,7}:{(93,1),(96,1),(99,1),(106,1),(135,1),(138,1)}
       118:{2,4,5}:{(94,1),(100,1),(136,1),(139,1)}
       119:{1,4,6}:{(95,1),(96,1),(108,1),(140,1)}
       120:{2,3,6}:{(97,1),(100,1),(136,1),(141,1),(142,1)}
       121:{1,3,7}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(100,1),(101,1),(139,1),(141,1),(143,1)}
       123:{1,2,4}:{(101,1),(143,1),(144,1)}
       124:{3,5,6}:{(102,1),(104,1),(145,1)}
       125:{2,4,5,7}:{(102,1),(103,1),(105,1),(109,1),(134,1),(145,1),(146,1),(148,1),(164,1),(170,1)}
       126:{2,6,7}:{(103,1),(110,1),(135,1)}
       127:{3,4,7}:{(104,1),(105,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(138,1),(147,1),(148,1)}
       129:{3,4,6}:{(107,1),(108,1),(149,1)}
       130:{2,5,6}:{(108,1),(112,1),(140,1),(148,1),(149,1)}
       131:{1,4,6,7}:{(109,1),(110,1),(146,1),(150,1),(174,1)}
       132:{1,5,7}:{(111,1),(112,1),(148,1)}
       133:{1,3,5,6}:{(113,1),(115,1),(124,1),(151,1),(152,1)}
       134:{1,4,5,7}:{(113,1),(114,1),(116,1),(125,1),(152,1),(153,1),(156,1)}
       135:{1,6,7}:{(114,1),(126,1)}
       136:{2,4,6}:{(115,1),(118,1),(120,1),(151,1),(154,1),(155,1)}
       137:{1,3,4,7}:{(115,1),(116,1),(121,1),(127,1),(152,1),(155,1)}
       138:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(156,1)}
       139:{1,4,5}:{(118,1),(122,1),(154,1)}
       140:{1,5,6}:{(119,1),(130,1),(156,1)}
       141:{1,3,6}:{(120,1),(122,1),(154,1),(157,1),(158,1)}
       142:{2,3,7}:{(120,1),(121,1),(155,1),(158,1)}
       143:{1,2,5}:{(122,1),(123,1),(157,1)}
       144:{1,2,3}:{(123,1)}
       145:{3,5,7}:{(124,1),(125,1),(127,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(131,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(127,1),(128,1),(129,1),(159,1),(161,1),(173,1)}
       148:{2,5,7}:{(128,1),(130,1),(132,1),(156,1),(161,1)}
       149:{3,5,6}:{(129,1),(130,1),(161,1),(162,1)}
       150:{1,5,6,7}:{(131,1),(132,1),(160,1)}
       151:{2,5,6}:{(133,1),(136,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(137,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(134,1),(135,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(136,1),(139,1),(141,1),(163,1),(167,1)}
       155:{2,4,7}:{(136,1),(137,1),(142,1),(164,1),(167,1)}
       156:{1,5,7}:{(138,1),(140,1),(148,1)}
       157:{1,2,6}:{(141,1),(143,1),(168,1)}
       158:{1,3,7}:{(141,1),(142,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(148,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1203 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1204 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1205 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(137,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(107,1),(113,1),(166,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(72,1),(118,1),(125,1),(127,1),(163,1),(169,1),(173,1),(210,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(79,1),(93,1),(134,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(79,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(191,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(45,1),(92,1),(137,1),(143,1),(148,1),(151,1),(191,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(97,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(29,1),(54,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(55,1),(162,1),(169,1),(208,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(107,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(27,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(27,1),(28,1),(171,1),(179,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(28,1),(29,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(210,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(28,1),(31,1),(32,1),(64,1),(71,1),(117,1),(125,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(34,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(36,1),(79,1),(81,1),(93,1),(136,1),(143,1),(150,1),(189,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(186,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(34,1),(38,1),(39,1),(43,1),(79,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(134,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(45,1),(89,1)}
        27:{1,3,4,7}:{(15,1),(17,1),(45,1),(191,1),(196,1)}
        28:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(45,1),(46,1),(148,1),(152,1)}
        29:{1,3,6,7}:{(16,1),(44,1),(46,1),(47,1),(145,1)}
        30:{1,3,4,5}:{(17,1),(48,1),(97,1),(155,1),(228,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(48,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(46,1),(50,1),(51,1),(90,1),(97,1),(100,1),(145,1)}
        33:{1,2,4,5,6}:{(20,1),(52,1),(53,1),(102,1),(105,1),(119,1),(158,1),(162,1),(169,1),(175,1),(204,1),(206,1),(208,1),(216,1),(244,1)}
        34:{1,4,5,7}:{(19,1),(22,1),(53,1),(54,1),(66,1)}
        35:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(54,1),(55,1),(56,1),(104,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(55,1),(57,1),(58,1),(161,1),(208,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(53,1),(59,1),(64,1),(105,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(55,1),(61,1),(62,1),(68,1),(109,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(218,1),(237,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(30,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(29,1),(66,1),(69,1),(118,1)}
        45:{2,4,7}:{(27,1),(28,1),(31,1),(69,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(32,1),(66,1),(69,1),(70,1),(124,1)}
        47:{1,2,6,7}:{(29,1),(70,1),(173,1)}
        48:{2,4,5}:{(30,1),(31,1),(71,1),(72,1),(125,1),(181,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(71,1),(73,1),(117,1),(128,1),(181,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(72,1)}
        51:{1,2,5,6}:{(32,1),(70,1),(74,1),(125,1),(173,1)}
        52:{1,3,5,6}:{(33,1),(36,1),(75,1),(76,1),(182,1),(186,1),(194,1),(224,1),(231,1)}
        53:{1,4,5,6}:{(34,1),(38,1),(77,1),(90,1),(141,1),(228,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(39,1),(77,1),(79,1)}
        55:{2,4,6,7}:{(35,1),(37,1),(79,1),(80,1),(81,1),(133,1)}
        56:{1,3,4,7}:{(36,1),(75,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(76,1),(79,1),(81,1),(82,1),(189,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(80,1),(82,1),(83,1),(186,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(80,1),(87,1),(88,1),(94,1),(95,1),(138,1),(139,1),(141,1),(145,1),(150,1),(186,1),(191,1),(194,1),(196,1),(199,1),(227,1),(232,1),(242,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(47,1),(88,1),(93,1),(94,1),(96,1),(146,1),(150,1),(192,1),(225,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(49,1),(91,1),(95,1),(152,1),(196,1),(202,1)}
        69:{1,4,7}:{(45,1),(46,1),(50,1)}
        70:{1,2,5,7}:{(46,1),(47,1),(51,1),(96,1),(148,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,4,5}:{(48,1),(50,1),(97,1),(203,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(155,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(56,1),(101,1),(102,1),(175,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(57,1),(102,1),(103,1),(105,1),(157,1),(161,1),(204,1),(207,1),(208,1)}
        77:{1,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(105,1),(238,1)}
        78:{1,3,4,5,7}:{(54,1),(56,1),(60,1),(101,1),(104,1),(106,1),(114,1),(164,1),(171,1),(213,1),(238,1)}
        79:{2,5,7}:{(54,1),(55,1),(105,1),(107,1)}
        80:{1,4,6,7}:{(55,1),(58,1),(107,1),(110,1),(162,1)}
        81:{2,4,7}:{(56,1),(57,1),(102,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(103,1),(107,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(208,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(105,1),(112,1),(113,1),(117,1),(161,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(107,1),(113,1),(114,1),(115,1),(171,1),(219,1),(238,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(123,1),(167,1),(169,1),(172,1),(173,1),(208,1),(218,1),(237,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(71,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(72,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(124,1),(174,1),(214,1),(236,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(73,1),(120,1),(123,1),(124,1),(179,1),(220,1)}
        96:{1,2,4,7}:{(69,1),(70,1),(74,1),(123,1),(124,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(125,1),(240,1)}
        98:{1,2,4,5}:{(72,1),(74,1),(125,1),(126,1),(181,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(181,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(129,1),(182,1),(200,1),(223,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(81,1),(129,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(82,1),(131,1),(132,1),(134,1),(182,1),(185,1),(186,1)}
       104:{1,3,4,6}:{(77,1),(78,1),(84,1),(133,1),(141,1),(186,1),(194,1)}
       105:{2,5,6}:{(77,1),(79,1),(133,1),(134,1),(243,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(81,1),(129,1),(133,1),(135,1),(136,1),(189,1),(230,1),(243,1)}
       107:{1,5,7}:{(79,1),(80,1),(134,1)}
       108:{1,2,4,6,7}:{(80,1),(83,1),(88,1),(137,1),(138,1),(140,1),(151,1),(187,1),(191,1),(197,1),(232,1)}
       109:{2,3,4,7}:{(81,1),(130,1),(135,1),(139,1),(193,1),(196,1),(230,1)}
       110:{1,4,7}:{(81,1),(82,1),(131,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(132,1),(140,1),(189,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(134,1),(141,1),(142,1),(145,1),(186,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(191,1),(200,1),(228,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(138,1),(144,1),(152,1),(193,1),(194,1),(198,1),(226,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(225,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,4,7}:{(95,1),(99,1),(148,1),(152,1)}
       124:{1,3,7}:{(96,1),(100,1),(152,1)}
       125:{2,5}:{(97,1),(99,1)}
       126:{1,3,5}:{(98,1),(100,1),(154,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(153,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(154,1),(156,1)}
       129:{2,4,5}:{(101,1),(102,1),(157,1),(158,1),(204,1),(235,1)}
       130:{2,3,4,6}:{(102,1),(109,1),(157,1),(159,1),(161,1),(207,1),(215,1),(235,1),(237,1)}
       131:{1,4,6}:{(102,1),(103,1),(110,1),(158,1)}
       132:{1,2,5,6}:{(103,1),(111,1),(160,1),(204,1),(208,1)}
       133:{2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(208,1)}
       134:{1,5,6}:{(105,1),(107,1),(162,1),(244,1)}
       135:{2,3,5,7}:{(106,1),(109,1),(157,1),(161,1),(164,1),(171,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(158,1),(162,1),(164,1),(239,1),(244,1)}
       137:{1,2,5,7}:{(107,1),(108,1),(115,1),(163,1),(166,1),(240,1)}
       138:{1,3,6,7}:{(108,1),(116,1),(166,1),(168,1),(179,1),(209,1),(217,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(159,1),(164,1),(167,1),(168,1),(214,1),(239,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(160,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(208,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(166,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(236,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(127,1),(176,1),(179,1),(220,1)}
       152:{2,3,7}:{(123,1),(124,1),(128,1),(179,1)}
       153:{1,2,5}:{(125,1),(127,1),(180,1),(240,1)}
       154:{2,3,5}:{(125,1),(126,1),(128,1),(180,1),(181,1)}
       155:{1,3,4}:{(126,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(180,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,4,5}:{(129,1),(131,1),(182,1),(241,1)}
       159:{1,3,4,6}:{(130,1),(131,1),(139,1),(182,1),(184,1),(185,1),(186,1),(223,1),(224,1),(241,1),(242,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(140,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(186,1),(194,1)}
       162:{1,4,6}:{(133,1),(134,1),(136,1),(186,1)}
       163:{1,2,5,6}:{(134,1),(137,1),(142,1),(187,1),(188,1),(197,1),(243,1)}
       164:{1,3,5,7}:{(135,1),(136,1),(139,1),(182,1),(186,1),(189,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(140,1),(143,1),(183,1),(187,1),(189,1),(190,1),(191,1),(228,1),(230,1),(243,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(144,1),(188,1),(191,1)}
       167:{2,4,7}:{(139,1),(184,1),(189,1),(193,1)}
       168:{1,3,7}:{(140,1),(185,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(188,1),(194,1),(195,1),(198,1),(226,1),(231,1),(233,1),(243,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(191,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(153,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(154,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(155,1),(196,1),(199,1),(202,1)}
       179:{1,3,7}:{(151,1),(152,1),(156,1)}
       180:{1,3,5}:{(153,1),(154,1),(156,1),(203,1)}
       181:{2,4}:{(154,1),(155,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(204,1),(244,1)}
       183:{1,2,4,5}:{(158,1),(160,1),(204,1),(205,1),(235,1)}
       184:{2,4,6}:{(159,1),(167,1),(204,1),(207,1),(208,1),(235,1)}
       185:{1,3,6}:{(160,1),(168,1),(205,1),(207,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(208,1)}
       187:{1,2,4,6}:{(162,1),(163,1),(165,1),(169,1),(208,1),(209,1),(210,1),(237,1)}
       188:{1,3,5,6}:{(163,1),(166,1),(170,1),(209,1),(210,1),(217,1),(238,1),(240,1)}
       189:{2,5,7}:{(164,1),(167,1),(204,1),(208,1)}
       190:{1,3,5,7}:{(165,1),(168,1),(171,1),(205,1),(209,1),(212,1),(213,1),(238,1)}
       191:{1,4,7}:{(166,1),(172,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(206,1),(211,1),(214,1),(239,1)}
       193:{2,3,7}:{(167,1),(168,1),(207,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(210,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(180,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(181,1),(218,1),(220,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{2,5}:{(182,1),(184,1)}
       205:{1,3,5}:{(183,1),(185,1),(222,1),(223,1)}
       206:{1,2,4,6}:{(184,1),(192,1),(221,1),(224,1),(225,1),(241,1),(242,1)}
       207:{2,3,6}:{(184,1),(185,1),(193,1),(222,1),(224,1)}
       208:{2,6}:{(186,1),(189,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(226,1)}
       210:{1,4,6}:{(188,1),(191,1),(195,1),(228,1)}
       211:{1,2,5,7}:{(189,1),(192,1),(221,1),(225,1),(229,1)}
       212:{2,3,5,7}:{(189,1),(190,1),(193,1),(222,1),(226,1),(229,1),(230,1),(243,1)}
       213:{1,3,4,7}:{(190,1),(191,1),(196,1),(223,1),(227,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(224,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(228,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,5}:{(204,1),(206,1),(234,1),(244,1)}
       222:{2,3,5}:{(204,1),(205,1),(207,1),(234,1),(235,1)}
       223:{1,3,4}:{(205,1),(235,1)}
       224:{1,3,6}:{(206,1),(207,1),(214,1),(234,1)}
       225:{1,2,6}:{(208,1),(211,1),(236,1)}
       226:{2,3,6}:{(208,1),(209,1),(212,1),(236,1),(237,1)}
       227:{1,3,4,6}:{(209,1),(210,1),(213,1),(215,1),(237,1),(238,1)}
       228:{1,4,5}:{(210,1),(216,1),(238,1),(240,1)}
       229:{1,3,5,7}:{(211,1),(212,1),(214,1),(234,1),(236,1),(239,1),(244,1)}
       230:{2,4,7}:{(212,1),(213,1),(235,1),(237,1),(239,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(224,1),(241,1)}
       235:{2,4}:{(222,1),(223,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(229,1),(242,1)}
       237:{2,4,6}:{(226,1),(227,1),(230,1),(242,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(231,1),(243,1)}
       239:{1,4,7}:{(229,1),(230,1),(241,1),(242,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(239,1),(244,1)}
       243:{2,5}:{(237,1),(238,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1206 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(47,1),(136,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(111,1),(154,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(30,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(72,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(80,1),(101,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(18,1),(42,1),(46,1),(47,1),(84,1),(133,1)}
         6:{1,2,5}:{(1,1),(13,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(17,1),(167,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(58,1),(74,1),(124,1)}
        10:{1,2,3,5}:{(4,1),(20,1),(22,1),(57,1)}
        11:{1,2,3,7}:{(4,1),(21,1),(109,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(32,1),(59,1),(60,1),(64,1),(71,1),(108,1)}
        13:{1,3,5}:{(5,1),(6,1),(23,1),(26,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(24,1),(27,1),(67,1),(72,1),(155,1)}
        15:{1,2,5,6}:{(6,1),(25,1),(28,1),(29,1),(31,1),(118,1),(154,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(26,1),(28,1),(30,1),(69,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(27,1),(31,1)}
        18:{1,3,4}:{(8,1),(30,1),(32,1)}
        19:{1,3,4,6}:{(9,1),(12,1),(33,1),(34,1),(38,1),(51,1),(75,1),(79,1),(80,1),(98,1)}
        20:{1,2,5}:{(9,1),(33,1)}
        21:{1,2,4,7}:{(9,1),(11,1),(34,1),(37,1),(147,1)}
        22:{1,2,4}:{(10,1),(38,1)}
        23:{2,3,5}:{(12,1),(13,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(12,1),(14,1),(34,1),(41,1),(87,1),(99,1),(134,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(39,1),(42,1),(43,1),(46,1),(47,1),(97,1),(133,1),(162,1)}
        26:{1,4,5}:{(13,1),(40,1),(42,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(41,1),(45,1),(46,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(93,1)}
        29:{1,2,5,7}:{(15,1),(43,1),(48,1),(49,1),(143,1),(167,1)}
        30:{1,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{2,3,4}:{(18,1),(50,1),(51,1)}
        33:{1,3,5}:{(19,1),(20,1),(23,1),(53,1)}
        34:{1,3,4,7}:{(19,1),(21,1),(24,1),(54,1),(104,1),(109,1),(125,1)}
        35:{1,2,5,6}:{(20,1),(52,1),(55,1),(56,1),(58,1),(124,1),(148,1)}
        36:{1,2,4,5}:{(20,1),(22,1),(53,1),(55,1),(57,1),(106,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(54,1),(58,1)}
        38:{1,3,4}:{(22,1),(57,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(52,1),(60,1),(61,1),(64,1),(71,1),(108,1),(112,1),(117,1),(118,1),(148,1)}
        40:{2,4,5}:{(23,1),(26,1),(53,1),(60,1),(62,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(27,1),(54,1),(63,1),(64,1)}
        42:{1,4,6}:{(25,1),(26,1),(60,1),(67,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(61,1),(67,1),(68,1),(72,1),(123,1),(155,1),(171,1)}
        44:{1,3,4,5}:{(26,1),(30,1),(62,1),(66,1),(69,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(63,1),(67,1),(70,1),(123,1)}
        46:{1,3,6}:{(27,1),(31,1),(64,1),(70,1)}
        47:{1,3,6}:{(28,1),(30,1),(71,1),(72,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(67,1),(72,1),(122,1)}
        49:{1,2,6,7}:{(29,1),(31,1),(68,1),(161,1)}
        50:{2,3,5}:{(30,1),(32,1),(69,1),(71,1),(73,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,3,5,6}:{(33,1),(35,1),(39,1),(75,1),(76,1),(79,1),(80,1),(98,1),(132,1),(142,1)}
        53:{1,4,5}:{(33,1),(40,1),(75,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(37,1),(41,1),(78,1),(79,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(75,1),(80,1),(81,1),(128,1)}
        56:{1,2,5,7}:{(35,1),(76,1),(81,1),(82,1),(147,1),(163,1)}
        57:{1,3,5}:{(36,1),(38,1),(80,1),(83,1)}
        58:{1,2,6}:{(37,1),(79,1)}
        59:{2,3,4}:{(38,1),(83,1),(84,1)}
        60:{2,4,6}:{(39,1),(40,1),(42,1),(75,1),(86,1),(87,1)}
        61:{2,3,5,7}:{(39,1),(43,1),(76,1),(87,1),(88,1),(99,1),(134,1),(137,1),(140,1),(143,1),(163,1)}
        62:{3,4,5}:{(40,1),(86,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(78,1),(87,1),(89,1),(90,1),(140,1)}
        64:{2,3,6}:{(41,1),(46,1),(79,1),(90,1)}
        65:{1,4,5,6}:{(42,1),(85,1),(91,1),(92,1),(97,1),(162,1)}
        66:{1,3,4,6}:{(42,1),(44,1),(47,1),(86,1),(91,1),(93,1),(94,1)}
        67:{1,4,7}:{(42,1),(43,1),(87,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(49,1),(88,1),(95,1),(174,1)}
        69:{2,4,5}:{(44,1),(50,1),(93,1),(96,1)}
        70:{1,4,6}:{(45,1),(46,1),(90,1),(97,1)}
        71:{2,3,6}:{(47,1),(50,1),(93,1),(98,1),(99,1)}
        72:{1,3,7}:{(47,1),(48,1),(99,1)}
        73:{1,3,5}:{(50,1),(51,1),(96,1),(98,1),(100,1)}
        74:{1,2,4}:{(51,1),(100,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(60,1),(104,1)}
        76:{1,3,5,7}:{(52,1),(56,1),(61,1),(104,1),(105,1),(109,1),(125,1),(153,1),(160,1)}
        77:{1,3,4,5}:{(53,1),(57,1),(62,1),(103,1),(106,1)}
        78:{1,4,5,7}:{(53,1),(54,1),(63,1),(104,1),(107,1),(153,1)}
        79:{1,3,6}:{(54,1),(58,1),(64,1),(107,1)}
        80:{1,3,6}:{(55,1),(57,1),(108,1),(109,1)}
        81:{1,2,4,7}:{(55,1),(56,1),(104,1),(109,1),(152,1)}
        82:{1,2,6,7}:{(56,1),(58,1),(105,1),(172,1)}
        83:{2,3,5}:{(57,1),(59,1),(106,1),(108,1),(110,1)}
        84:{1,3,4}:{(59,1),(110,1),(111,1)}
        85:{2,4,5,6}:{(60,1),(65,1),(102,1),(112,1),(113,1),(117,1),(118,1),(148,1),(159,1)}
        86:{3,4,6}:{(60,1),(62,1),(112,1),(114,1)}
        87:{2,4,7}:{(60,1),(61,1),(67,1),(104,1),(114,1)}
        88:{2,3,6,7}:{(61,1),(64,1),(68,1),(105,1),(115,1),(156,1),(161,1),(172,1)}
        89:{3,4,5,7}:{(62,1),(63,1),(114,1),(116,1),(158,1)}
        90:{2,4,6}:{(63,1),(64,1),(70,1),(107,1),(116,1),(117,1)}
        91:{1,3,5,6}:{(65,1),(66,1),(112,1),(118,1),(119,1)}
        92:{1,4,5,7}:{(65,1),(67,1),(113,1),(119,1),(120,1),(123,1),(171,1)}
        93:{2,4,6}:{(66,1),(69,1),(71,1),(118,1),(121,1),(122,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(72,1),(114,1),(119,1),(122,1)}
        95:{1,4,6,7}:{(67,1),(68,1),(70,1),(115,1),(123,1)}
        96:{1,4,5}:{(69,1),(73,1),(121,1)}
        97:{1,5,6}:{(70,1),(117,1),(123,1)}
        98:{1,3,6}:{(71,1),(73,1),(121,1),(124,1),(125,1)}
        99:{2,3,7}:{(71,1),(72,1),(122,1),(125,1)}
       100:{1,2,5}:{(73,1),(74,1),(124,1)}
       101:{1,2,3}:{(74,1)}
       102:{1,4,5,6}:{(75,1),(85,1),(126,1),(127,1),(132,1),(142,1)}
       103:{1,3,4,6}:{(75,1),(77,1),(80,1),(86,1),(126,1),(128,1),(129,1)}
       104:{1,4,7}:{(75,1),(76,1),(87,1)}
       105:{1,3,6,7}:{(76,1),(79,1),(82,1),(88,1),(130,1),(170,1)}
       106:{2,4,5}:{(77,1),(83,1),(128,1),(131,1)}
       107:{1,4,6}:{(78,1),(79,1),(90,1),(132,1)}
       108:{2,3,6}:{(80,1),(83,1),(128,1),(133,1),(134,1)}
       109:{1,3,7}:{(80,1),(81,1),(134,1)}
       110:{1,3,5}:{(83,1),(84,1),(131,1),(133,1),(135,1)}
       111:{1,2,4}:{(84,1),(135,1),(136,1)}
       112:{3,5,6}:{(85,1),(86,1),(137,1)}
       113:{2,4,5,7}:{(85,1),(87,1),(92,1),(127,1),(137,1),(138,1),(140,1),(143,1),(163,1),(169,1)}
       114:{3,4,7}:{(86,1),(87,1),(137,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(90,1),(95,1),(130,1),(139,1),(140,1)}
       116:{3,4,6}:{(89,1),(90,1),(141,1)}
       117:{2,5,6}:{(90,1),(97,1),(132,1),(140,1),(141,1)}
       118:{2,5,6}:{(91,1),(93,1),(142,1),(143,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(94,1),(137,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(92,1),(138,1),(144,1),(145,1),(174,1)}
       121:{1,4,6}:{(93,1),(96,1),(98,1),(142,1),(146,1)}
       122:{2,4,7}:{(93,1),(94,1),(99,1),(143,1),(146,1)}
       123:{1,5,7}:{(95,1),(97,1),(140,1)}
       124:{1,2,6}:{(98,1),(100,1),(147,1)}
       125:{1,3,7}:{(98,1),(99,1),(146,1),(147,1)}
       126:{1,3,5,6}:{(102,1),(103,1),(112,1),(148,1),(149,1)}
       127:{1,4,5,7}:{(102,1),(104,1),(113,1),(149,1),(150,1),(153,1),(160,1)}
       128:{2,4,6}:{(103,1),(106,1),(108,1),(148,1),(151,1),(152,1)}
       129:{1,3,4,7}:{(103,1),(104,1),(109,1),(114,1),(149,1),(152,1)}
       130:{1,4,6,7}:{(104,1),(105,1),(107,1),(115,1),(153,1)}
       131:{1,4,5}:{(106,1),(110,1),(151,1)}
       132:{1,5,6}:{(107,1),(117,1),(153,1)}
       133:{1,3,6}:{(108,1),(110,1),(151,1),(154,1),(155,1)}
       134:{2,3,7}:{(108,1),(109,1),(152,1),(155,1)}
       135:{1,2,5}:{(110,1),(111,1),(154,1)}
       136:{1,2,3}:{(111,1)}
       137:{3,5,7}:{(112,1),(113,1),(114,1),(156,1)}
       138:{2,4,6,7}:{(113,1),(120,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,4,6,7}:{(114,1),(115,1),(116,1),(156,1),(158,1),(173,1)}
       140:{2,5,7}:{(115,1),(117,1),(123,1),(153,1),(158,1)}
       141:{3,5,6}:{(116,1),(117,1),(158,1),(159,1)}
       142:{1,5,6}:{(118,1),(121,1),(160,1)}
       143:{2,5,7}:{(118,1),(119,1),(122,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(119,1),(120,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(120,1),(123,1),(157,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(160,1)}
       147:{1,2,7}:{(124,1),(125,1)}
       148:{2,5,6}:{(126,1),(128,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(127,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(128,1),(131,1),(133,1),(162,1),(166,1)}
       152:{2,4,7}:{(128,1),(129,1),(134,1),(163,1),(166,1)}
       153:{1,5,7}:{(130,1),(132,1),(140,1)}
       154:{1,2,6}:{(133,1),(135,1),(167,1)}
       155:{1,3,7}:{(133,1),(134,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(140,1),(145,1),(165,1),(168,1)}
       158:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       159:{4,5,6}:{(141,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(158,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1207 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1208 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1209 :   0:{1,2,5,6,7}:{(1,1),(2,1),(42,1),(75,1),(90,1),(131,1),(135,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(6,1),(7,1),(25,1),(51,1),(102,1),(106,1),(160,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(116,1),(161,1),(171,1)}
         3:{1,2,5,6,7}:{(8,1),(9,1),(44,1),(73,1),(91,1),(130,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(15,1),(32,1),(34,1),(42,1),(73,1),(78,1),(135,1),(136,1),(188,1)}
         5:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(39,1),(42,1),(88,1),(131,1),(134,1),(141,1),(143,1),(187,1)}
         6:{1,4,6,7}:{(1,1),(10,1),(13,1),(133,1),(187,1)}
         7:{1,3,6,7}:{(2,1),(12,1),(15,1),(142,1),(188,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(17,1),(18,1),(27,1),(49,1),(65,1),(106,1),(120,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(50,1),(156,1),(161,1),(207,1)}
        10:{2,4,6,7}:{(4,1),(6,1),(17,1),(19,1),(20,1),(104,1),(161,1),(164,1)}
        11:{1,2,4,5,6}:{(5,1),(21,1),(24,1),(57,1),(64,1),(111,1),(116,1),(159,1),(161,1),(165,1),(166,1),(171,1),(211,1),(213,1),(240,1)}
        12:{1,3,5,7}:{(5,1),(7,1),(21,1),(22,1),(23,1),(162,1),(170,1)}
        13:{1,4,5,7}:{(6,1),(19,1),(24,1),(25,1),(102,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(20,1),(22,1),(25,1),(26,1),(60,1)}
        15:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(113,1),(171,1)}
        16:{1,2,4,5,7}:{(9,1),(28,1),(29,1),(30,1),(70,1),(73,1),(91,1),(128,1),(134,1),(148,1),(180,1),(182,1)}
        17:{1,4,6,7}:{(8,1),(10,1),(30,1),(133,1),(148,1)}
        18:{1,3,6,7}:{(9,1),(29,1),(32,1),(181,1),(188,1)}
        19:{2,4,5,7}:{(10,1),(13,1),(30,1),(33,1),(34,1),(42,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(76,1),(188,1),(189,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(36,1),(37,1),(137,1),(142,1),(188,1),(192,1),(230,1)}
        22:{1,3,4,7}:{(12,1),(36,1),(39,1),(187,1),(189,1)}
        23:{2,3,5,7}:{(12,1),(15,1),(37,1),(39,1),(40,1),(42,1),(143,1),(144,1)}
        24:{1,4,5,6}:{(13,1),(33,1),(41,1),(130,1),(133,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(34,1),(41,1),(42,1)}
        26:{2,4,6,7}:{(14,1),(15,1),(39,1),(42,1),(43,1),(87,1)}
        27:{1,3,6,7}:{(15,1),(40,1),(43,1),(44,1),(142,1)}
        28:{1,2,4,5,6}:{(16,1),(45,1),(48,1),(94,1),(101,1),(119,1),(151,1),(156,1),(161,1),(175,1),(201,1),(202,1),(207,1),(213,1),(244,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(45,1),(46,1),(47,1),(162,1),(206,1)}
        30:{1,4,5,7}:{(17,1),(19,1),(48,1),(49,1),(65,1)}
        31:{1,3,4,6,7}:{(17,1),(18,1),(20,1),(46,1),(49,1),(50,1),(97,1)}
        32:{2,3,6,7}:{(18,1),(47,1),(50,1),(51,1),(153,1),(207,1)}
        33:{2,4,5,6}:{(19,1),(24,1),(48,1),(53,1),(64,1),(101,1),(104,1),(161,1),(213,1)}
        34:{3,5,7}:{(19,1),(20,1),(53,1)}
        35:{2,3,4,6,7}:{(20,1),(26,1),(50,1),(54,1),(55,1),(59,1),(96,1),(104,1),(108,1),(113,1),(153,1),(164,1),(212,1),(218,1),(238,1)}
        36:{1,3,4,6}:{(21,1),(22,1),(56,1),(57,1),(211,1),(212,1)}
        37:{2,3,5,6}:{(21,1),(23,1),(57,1),(58,1),(64,1),(109,1),(113,1),(166,1),(167,1),(171,1)}
        38:{1,3,4,5,7}:{(22,1),(25,1),(52,1),(56,1),(60,1),(61,1),(105,1),(114,1),(162,1),(174,1),(219,1)}
        39:{2,4,7}:{(22,1),(23,1),(57,1),(62,1)}
        40:{1,3,5,7}:{(23,1),(27,1),(58,1),(62,1),(63,1),(65,1),(118,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(53,1),(60,1),(64,1),(219,1)}
        42:{2,5,7}:{(25,1),(26,1),(64,1),(65,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(116,1)}
        44:{1,2,6,7}:{(27,1),(63,1),(171,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(67,1),(68,1),(176,1),(181,1),(188,1),(221,1),(230,1)}
        46:{1,3,4,7}:{(29,1),(67,1),(70,1),(148,1),(189,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(68,1),(70,1),(71,1),(73,1),(182,1),(183,1)}
        48:{1,4,5,6}:{(30,1),(33,1),(72,1),(90,1),(133,1),(229,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(34,1),(72,1),(73,1)}
        50:{2,4,6,7}:{(31,1),(32,1),(70,1),(73,1),(74,1),(127,1)}
        51:{1,3,6,7}:{(32,1),(71,1),(74,1),(75,1),(181,1)}
        52:{3,4,5,7}:{(34,1),(76,1),(77,1),(189,1),(230,1)}
        53:{3,5,6}:{(33,1),(34,1),(76,1),(188,1),(230,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(42,1),(73,1),(77,1),(78,1),(79,1),(230,1),(233,1),(243,1)}
        55:{1,3,4,6,7}:{(35,1),(43,1),(74,1),(79,1),(80,1),(86,1),(92,1),(126,1),(132,1),(133,1),(142,1),(148,1),(181,1),(187,1),(188,1),(189,1),(199,1),(228,1),(232,1),(242,1)}
        56:{1,3,4,5}:{(36,1),(82,1),(137,1),(194,1),(229,1),(230,1)}
        57:{2,4,6}:{(36,1),(37,1),(39,1),(82,1),(83,1)}
        58:{1,3,5,6}:{(37,1),(40,1),(83,1),(84,1),(90,1),(137,1),(140,1),(142,1)}
        59:{2,3,4,7}:{(39,1),(81,1),(85,1),(86,1),(144,1),(189,1),(198,1)}
        60:{1,3,4,6}:{(38,1),(41,1),(76,1),(87,1),(133,1),(142,1),(188,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(42,1),(82,1),(85,1),(87,1),(88,1),(143,1),(198,1),(233,1)}
        62:{1,4,7}:{(39,1),(40,1),(83,1)}
        63:{1,2,5,7}:{(40,1),(44,1),(84,1),(89,1),(143,1)}
        64:{2,5,6}:{(41,1),(42,1),(87,1),(90,1),(233,1)}
        65:{1,5,7}:{(42,1),(43,1),(90,1)}
        66:{1,2,4,6,7}:{(43,1),(44,1),(80,1),(89,1),(91,1),(92,1),(145,1),(148,1),(180,1),(224,1),(242,1)}
        67:{1,3,4,6}:{(45,1),(46,1),(93,1),(94,1),(175,1),(212,1)}
        68:{2,3,5,6}:{(45,1),(47,1),(94,1),(95,1),(101,1),(149,1),(153,1),(202,1),(203,1),(207,1)}
        69:{1,3,4,5,7}:{(46,1),(49,1),(52,1),(93,1),(97,1),(98,1),(105,1),(154,1),(162,1),(210,1),(239,1)}
        70:{2,4,7}:{(46,1),(47,1),(94,1),(99,1)}
        71:{1,3,5,7}:{(47,1),(51,1),(95,1),(99,1),(100,1),(102,1),(158,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(53,1),(97,1),(101,1),(239,1)}
        73:{2,5,7}:{(49,1),(50,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(50,1),(51,1),(99,1),(102,1),(156,1)}
        75:{1,2,6,7}:{(51,1),(100,1),(207,1)}
        76:{3,4,6}:{(52,1),(53,1),(104,1)}
        77:{2,4,5,7}:{(52,1),(54,1),(104,1),(105,1),(164,1),(213,1)}
        78:{2,3,5,6}:{(53,1),(54,1),(64,1),(101,1),(104,1),(106,1),(113,1),(153,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(65,1),(102,1),(105,1),(106,1),(107,1),(162,1),(219,1),(239,1),(240,1),(244,1)}
        80:{2,4,6,7}:{(55,1),(107,1),(108,1),(115,1),(155,1),(161,1),(164,1),(171,1),(207,1),(218,1),(238,1)}
        81:{2,3,4,6}:{(57,1),(59,1),(109,1),(110,1),(113,1),(167,1),(212,1),(215,1),(218,1)}
        82:{2,4,5}:{(56,1),(57,1),(109,1),(111,1),(166,1),(215,1)}
        83:{1,4,6}:{(57,1),(58,1),(62,1),(111,1)}
        84:{1,2,5,6}:{(58,1),(63,1),(112,1),(166,1),(171,1)}
        85:{2,3,5,7}:{(59,1),(61,1),(109,1),(113,1),(114,1),(162,1)}
        86:{1,3,4,7}:{(59,1),(62,1),(110,1),(114,1),(115,1),(118,1),(170,1),(217,1)}
        87:{2,4,6}:{(60,1),(61,1),(64,1),(113,1),(116,1),(171,1)}
        88:{1,4,5,7}:{(61,1),(62,1),(65,1),(111,1),(114,1),(116,1),(217,1),(240,1)}
        89:{1,2,4,7}:{(62,1),(63,1),(112,1),(115,1),(118,1)}
        90:{1,5,6}:{(64,1),(65,1),(116,1),(240,1)}
        91:{1,2,5,7}:{(65,1),(66,1),(107,1),(119,1),(120,1),(244,1)}
        92:{1,3,6,7}:{(66,1),(108,1),(118,1),(120,1),(173,1),(206,1),(236,1)}
        93:{1,3,4,5}:{(67,1),(122,1),(176,1),(200,1),(223,1),(230,1)}
        94:{2,4,6}:{(67,1),(68,1),(70,1),(122,1),(123,1)}
        95:{1,3,5,6}:{(68,1),(71,1),(123,1),(124,1),(130,1),(176,1),(179,1),(181,1)}
        96:{2,3,4,7}:{(70,1),(121,1),(125,1),(126,1),(183,1),(189,1),(227,1)}
        97:{1,3,4,6}:{(69,1),(72,1),(76,1),(127,1),(133,1),(181,1),(188,1)}
        98:{2,4,5,7}:{(69,1),(70,1),(73,1),(122,1),(125,1),(127,1),(128,1),(182,1),(227,1),(243,1)}
        99:{1,4,7}:{(70,1),(71,1),(123,1)}
       100:{1,2,5,7}:{(71,1),(75,1),(124,1),(129,1),(182,1)}
       101:{2,5,6}:{(72,1),(73,1),(127,1),(130,1),(243,1)}
       102:{1,5,7}:{(73,1),(74,1),(130,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(80,1),(129,1),(131,1),(132,1),(141,1),(184,1),(187,1),(195,1),(232,1)}
       104:{2,4,6}:{(76,1),(77,1),(78,1),(133,1)}
       105:{1,4,5,7}:{(77,1),(79,1),(133,1),(134,1),(148,1),(187,1),(200,1),(229,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(90,1),(130,1),(133,1),(135,1),(142,1),(181,1),(188,1)}
       107:{2,5,7}:{(79,1),(80,1),(135,1),(233,1),(243,1)}
       108:{2,3,6,7}:{(80,1),(92,1),(132,1),(136,1),(144,1),(183,1),(188,1),(197,1),(226,1)}
       109:{2,3,5}:{(81,1),(82,1),(137,1),(230,1),(233,1)}
       110:{1,3,4,6}:{(81,1),(83,1),(86,1),(137,1),(138,1),(140,1),(142,1),(192,1),(194,1),(231,1),(232,1)}
       111:{1,4,5}:{(82,1),(83,1),(137,1),(231,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(89,1),(138,1),(139,1),(140,1)}
       113:{2,3,6}:{(85,1),(87,1),(142,1),(188,1)}
       114:{1,3,5,7}:{(85,1),(86,1),(88,1),(137,1),(142,1),(143,1)}
       115:{2,4,7}:{(86,1),(138,1),(143,1),(144,1)}
       116:{1,4,6}:{(87,1),(88,1),(90,1),(142,1)}
       117:{1,2,4,5,7}:{(88,1),(89,1),(91,1),(134,1),(139,1),(143,1),(145,1),(146,1),(148,1),(198,1),(200,1),(233,1)}
       118:{1,3,7}:{(89,1),(140,1),(144,1)}
       119:{1,2,5,6}:{(90,1),(91,1),(135,1),(145,1),(147,1),(224,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(136,1),(147,1),(148,1)}
       121:{2,3,4,6}:{(94,1),(96,1),(149,1),(150,1),(153,1),(203,1),(212,1),(235,1),(238,1)}
       122:{2,4,5}:{(93,1),(94,1),(149,1),(151,1),(202,1),(235,1)}
       123:{1,4,6}:{(94,1),(95,1),(99,1),(151,1)}
       124:{1,2,5,6}:{(95,1),(100,1),(152,1),(202,1),(207,1)}
       125:{2,3,5,7}:{(96,1),(98,1),(149,1),(153,1),(154,1),(162,1)}
       126:{1,3,4,7}:{(96,1),(99,1),(150,1),(154,1),(155,1),(158,1),(206,1),(237,1)}
       127:{2,4,6}:{(97,1),(98,1),(101,1),(153,1),(156,1),(207,1)}
       128:{1,4,5,7}:{(98,1),(99,1),(102,1),(151,1),(154,1),(156,1),(237,1),(244,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(152,1),(155,1),(158,1)}
       130:{1,5,6}:{(101,1),(102,1),(156,1),(244,1)}
       131:{1,2,5,7}:{(102,1),(103,1),(107,1),(159,1),(160,1),(240,1)}
       132:{1,3,6,7}:{(103,1),(108,1),(158,1),(160,1),(170,1),(209,1),(216,1)}
       133:{1,4,6}:{(104,1),(105,1),(106,1),(161,1)}
       134:{2,4,5,7}:{(105,1),(107,1),(161,1),(162,1),(164,1),(213,1)}
       135:{2,5,6}:{(106,1),(107,1),(161,1),(171,1),(207,1)}
       136:{2,3,5,7}:{(107,1),(108,1),(120,1),(160,1),(162,1),(163,1),(164,1)}
       137:{1,3,5}:{(109,1),(110,1),(111,1),(166,1),(240,1)}
       138:{2,4,6}:{(110,1),(115,1),(166,1),(167,1),(171,1),(215,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(166,1),(168,1),(215,1)}
       140:{1,3,6}:{(112,1),(118,1),(167,1),(168,1)}
       141:{1,2,4,7}:{(115,1),(165,1),(169,1),(170,1),(217,1)}
       142:{1,3,6}:{(113,1),(114,1),(116,1),(171,1)}
       143:{2,5,7}:{(114,1),(115,1),(166,1),(171,1)}
       144:{2,3,7}:{(115,1),(118,1),(167,1),(170,1)}
       145:{1,2,4,6}:{(116,1),(117,1),(119,1),(161,1),(171,1),(173,1),(175,1),(218,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(162,1),(168,1),(172,1),(173,1),(174,1),(219,1)}
       147:{1,3,5,6}:{(119,1),(120,1),(163,1),(173,1),(175,1),(219,1),(236,1),(244,1)}
       148:{1,4,7}:{(120,1),(164,1),(175,1)}
       149:{2,3,5}:{(121,1),(122,1),(176,1),(230,1),(243,1)}
       150:{1,3,4,6}:{(121,1),(123,1),(126,1),(176,1),(177,1),(179,1),(181,1),(221,1),(223,1),(241,1),(242,1)}
       151:{1,4,5}:{(122,1),(123,1),(176,1),(241,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(129,1),(177,1),(178,1),(179,1)}
       153:{2,3,6}:{(125,1),(127,1),(181,1),(188,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(128,1),(176,1),(181,1),(182,1)}
       155:{2,4,7}:{(126,1),(177,1),(182,1),(183,1)}
       156:{1,4,6}:{(127,1),(128,1),(130,1),(181,1)}
       157:{1,2,4,5,7}:{(128,1),(129,1),(131,1),(134,1),(178,1),(182,1),(184,1),(185,1),(187,1),(227,1),(229,1),(243,1)}
       158:{1,3,7}:{(129,1),(179,1),(183,1)}
       159:{1,2,5,6}:{(130,1),(131,1),(135,1),(184,1),(186,1),(195,1),(243,1)}
       160:{1,3,5,7}:{(131,1),(132,1),(136,1),(186,1),(187,1)}
       161:{2,4,6}:{(133,1),(134,1),(135,1),(188,1)}
       162:{3,5,7}:{(134,1),(188,1),(189,1),(230,1)}
       163:{2,3,5,6}:{(135,1),(136,1),(147,1),(186,1),(188,1),(190,1),(197,1),(226,1),(230,1),(233,1),(243,1)}
       164:{2,4,7}:{(136,1),(148,1),(187,1),(189,1),(190,1)}
       165:{1,2,4,6}:{(138,1),(141,1),(191,1),(192,1),(195,1),(231,1),(232,1)}
       166:{2,5}:{(137,1),(138,1)}
       167:{2,3,6}:{(138,1),(140,1),(144,1),(192,1),(193,1)}
       168:{1,3,5}:{(139,1),(140,1),(193,1),(194,1)}
       169:{1,2,5,7}:{(141,1),(143,1),(191,1),(195,1),(196,1)}
       170:{1,3,7}:{(141,1),(144,1),(192,1)}
       171:{2,6}:{(142,1),(143,1)}
       172:{2,3,5,7}:{(143,1),(144,1),(146,1),(193,1),(196,1),(197,1),(198,1),(233,1)}
       173:{1,3,6}:{(145,1),(146,1),(188,1),(197,1)}
       174:{1,3,4,7}:{(146,1),(148,1),(189,1),(194,1),(198,1),(199,1)}
       175:{1,4,6}:{(147,1),(148,1),(190,1),(200,1)}
       176:{1,3,5}:{(149,1),(150,1),(151,1),(202,1),(244,1)}
       177:{2,4,6}:{(150,1),(155,1),(202,1),(203,1),(207,1),(235,1)}
       178:{1,2,4,5}:{(151,1),(152,1),(202,1),(204,1),(235,1)}
       179:{1,3,6}:{(152,1),(158,1),(203,1),(204,1)}
       180:{1,2,4,7}:{(155,1),(201,1),(205,1),(206,1),(237,1)}
       181:{1,3,6}:{(153,1),(154,1),(156,1),(207,1)}
       182:{2,5,7}:{(154,1),(155,1),(202,1),(207,1)}
       183:{2,3,7}:{(155,1),(158,1),(203,1),(206,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(159,1),(161,1),(207,1),(209,1),(211,1),(238,1)}
       185:{1,3,5,7}:{(157,1),(158,1),(162,1),(204,1),(208,1),(209,1),(210,1),(239,1)}
       186:{1,3,5,6}:{(159,1),(160,1),(163,1),(209,1),(211,1),(216,1),(239,1),(240,1)}
       187:{1,4,7}:{(160,1),(164,1),(211,1)}
       188:{3,6}:{(161,1),(162,1)}
       189:{3,4,7}:{(162,1),(164,1),(212,1)}
       190:{2,4,6}:{(163,1),(164,1),(175,1),(211,1),(212,1),(213,1)}
       191:{1,2,5}:{(165,1),(166,1),(214,1),(240,1)}
       192:{1,3,6}:{(165,1),(167,1),(170,1),(214,1)}
       193:{2,3,5}:{(166,1),(167,1),(168,1),(214,1),(215,1)}
       194:{1,3,4}:{(168,1),(215,1)}
       195:{1,2,6}:{(169,1),(171,1),(216,1)}
       196:{1,3,5,7}:{(169,1),(170,1),(172,1),(214,1),(216,1),(217,1),(240,1)}
       197:{2,3,6}:{(171,1),(172,1),(173,1),(216,1),(218,1)}
       198:{2,4,7}:{(172,1),(174,1),(215,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(173,1),(174,1),(175,1),(212,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(213,1),(219,1),(244,1)}
       201:{1,2,4,6}:{(177,1),(180,1),(220,1),(221,1),(224,1),(241,1),(242,1)}
       202:{2,5}:{(176,1),(177,1)}
       203:{2,3,6}:{(177,1),(179,1),(183,1),(221,1),(222,1)}
       204:{1,3,5}:{(178,1),(179,1),(222,1),(223,1)}
       205:{1,2,5,7}:{(180,1),(182,1),(220,1),(224,1),(225,1)}
       206:{1,3,7}:{(180,1),(183,1),(221,1)}
       207:{2,6}:{(181,1),(182,1)}
       208:{2,3,5,7}:{(182,1),(183,1),(185,1),(222,1),(225,1),(226,1),(227,1),(243,1)}
       209:{1,3,6}:{(184,1),(185,1),(188,1),(226,1)}
       210:{1,3,4,7}:{(185,1),(187,1),(189,1),(223,1),(227,1),(228,1)}
       211:{1,4,6}:{(186,1),(187,1),(190,1),(229,1)}
       212:{3,4,6}:{(188,1),(189,1),(190,1),(230,1)}
       213:{2,4,5}:{(190,1),(200,1),(229,1),(230,1),(233,1),(243,1)}
       214:{1,3,5}:{(191,1),(192,1),(193,1),(231,1)}
       215:{2,4}:{(193,1),(194,1),(231,1)}
       216:{1,3,6}:{(195,1),(196,1),(197,1),(232,1)}
       217:{1,4,7}:{(196,1),(198,1),(231,1),(232,1)}
       218:{2,4,6}:{(197,1),(198,1),(199,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(230,1),(233,1)}
       220:{1,2,5}:{(201,1),(202,1),(234,1),(244,1)}
       221:{1,3,6}:{(201,1),(203,1),(206,1),(234,1)}
       222:{2,3,5}:{(202,1),(203,1),(204,1),(234,1),(235,1)}
       223:{1,3,4}:{(204,1),(235,1)}
       224:{1,2,6}:{(205,1),(207,1),(236,1)}
       225:{1,3,5,7}:{(205,1),(206,1),(208,1),(234,1),(236,1),(237,1),(244,1)}
       226:{2,3,6}:{(207,1),(208,1),(209,1),(236,1),(238,1)}
       227:{2,4,7}:{(208,1),(210,1),(235,1),(237,1),(238,1)}
       228:{1,3,4,6}:{(209,1),(210,1),(211,1),(212,1),(238,1),(239,1)}
       229:{1,4,5}:{(211,1),(213,1),(239,1),(240,1)}
       230:{3,5}:{(212,1),(213,1)}
       231:{1,4}:{(214,1),(215,1)}
       232:{1,4,6}:{(216,1),(217,1),(218,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,5}:{(220,1),(221,1),(222,1),(241,1)}
       235:{2,4}:{(222,1),(223,1),(241,1)}
       236:{1,3,6}:{(224,1),(225,1),(226,1),(242,1)}
       237:{1,4,7}:{(225,1),(227,1),(241,1),(242,1)}
       238:{2,4,6}:{(226,1),(227,1),(228,1),(242,1),(243,1)}
       239:{1,3,5}:{(228,1),(229,1),(230,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(238,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1210 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(55,1),(76,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(25,1),(27,1),(48,1),(51,1),(55,1),(76,1),(103,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(9,1),(10,1),(29,1),(64,1),(86,1)}
         3:{1,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(33,1),(34,1),(36,1),(56,1),(63,1),(64,1),(66,1),(86,1)}
         4:{2,4,6,7}:{(0,1),(9,1),(12,1),(13,1),(15,1),(41,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(42,1),(62,1),(65,1)}
         6:{2,4,6}:{(1,1),(11,1),(14,1),(15,1),(16,1),(104,1)}
         7:{2,6,7}:{(2,1),(18,1),(76,1)}
         8:{2,5,6}:{(3,1),(18,1),(19,1),(51,1),(75,1),(76,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(22,1),(49,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(5,1),(18,1),(20,1),(22,1),(43,1),(47,1),(74,1),(77,1)}
        11:{1,4,6}:{(3,1),(6,1),(19,1),(21,1),(22,1),(68,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(28,1),(54,1),(55,1)}
        13:{2,5,7}:{(4,1),(20,1),(24,1),(25,1)}
        14:{2,4,5}:{(6,1),(21,1),(27,1),(51,1),(90,1)}
        15:{2,4,7}:{(5,1),(6,1),(22,1),(28,1)}
        16:{3,4,6}:{(6,1),(27,1),(28,1),(55,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(29,1),(30,1),(32,1),(57,1),(59,1)}
        18:{2,5,7}:{(7,1),(8,1),(10,1),(32,1),(85,1)}
        19:{2,4,6}:{(8,1),(11,1),(31,1),(32,1),(33,1)}
        20:{1,5,7}:{(9,1),(13,1),(30,1),(34,1)}
        21:{1,4,5}:{(11,1),(14,1),(31,1),(36,1),(66,1),(78,1),(81,1),(104,1)}
        22:{1,4,7}:{(10,1),(11,1),(15,1),(32,1),(57,1)}
        23:{1,3,4,6}:{(11,1),(16,1),(33,1),(36,1),(37,1),(38,1),(58,1),(63,1),(64,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        24:{3,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{2,5,6}:{(13,1),(34,1),(39,1),(41,1),(101,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(15,1),(35,1),(40,1),(41,1),(42,1),(65,1),(95,1),(101,1),(104,1)}
        27:{3,5}:{(14,1),(16,1),(96,1)}
        28:{3,4,7}:{(15,1),(16,1),(42,1),(104,1)}
        29:{3,6,7}:{(17,1),(43,1),(47,1),(71,1)}
        30:{2,5,7}:{(17,1),(20,1),(43,1),(44,1)}
        31:{2,4,5}:{(19,1),(21,1),(46,1),(51,1),(70,1)}
        32:{2,4,7}:{(18,1),(19,1),(22,1),(47,1)}
        33:{3,6}:{(19,1),(46,1),(47,1)}
        34:{1,5,6}:{(20,1),(25,1),(44,1),(49,1),(98,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(22,1),(26,1),(45,1),(49,1),(50,1),(77,1),(89,1),(98,1)}
        36:{1,3,5}:{(21,1),(23,1),(27,1),(46,1),(51,1),(87,1),(98,1),(103,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(28,1),(47,1),(50,1),(52,1),(69,1),(74,1),(89,1),(100,1)}
        38:{2,4,6}:{(23,1),(48,1),(51,1),(52,1),(53,1),(70,1),(75,1),(76,1),(90,1)}
        39:{3,5,6}:{(24,1),(25,1),(54,1),(55,1),(103,1)}
        40:{4,5,7}:{(24,1),(54,1)}
        41:{2,4,6}:{(25,1),(26,1),(49,1),(54,1),(55,1),(76,1)}
        42:{3,5,7}:{(26,1),(27,1),(28,1),(55,1),(100,1),(103,1)}
        43:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        44:{2,5,6}:{(30,1),(34,1),(56,1),(59,1),(93,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(57,1),(59,1),(60,1),(65,1),(78,1),(80,1),(93,1)}
        46:{3,5}:{(31,1),(33,1),(58,1)}
        47:{3,7}:{(32,1),(33,1)}
        48:{2,3,6}:{(33,1),(38,1),(61,1),(62,1),(63,1),(96,1),(102,1)}
        49:{1,4,6}:{(34,1),(35,1),(41,1),(59,1),(64,1),(86,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(37,1),(42,1),(60,1),(64,1),(65,1)}
        51:{2,5}:{(36,1),(38,1),(66,1)}
        52:{2,4,7}:{(37,1),(38,1),(62,1),(65,1),(67,1),(85,1)}
        53:{1,4,6}:{(38,1),(63,1),(66,1),(67,1),(81,1),(86,1)}
        54:{4,6}:{(39,1),(40,1),(104,1)}
        55:{3,6}:{(41,1),(42,1)}
        56:{3,5,6}:{(43,1),(44,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(43,1),(68,1)}
        58:{3,4}:{(46,1),(70,1)}
        59:{2,4,6}:{(44,1),(45,1),(49,1),(68,1),(71,1),(76,1)}
        60:{3,5,7}:{(45,1),(46,1),(47,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(46,1),(48,1),(51,1),(70,1),(73,1),(103,1)}
        62:{2,3,7}:{(47,1),(48,1),(52,1),(74,1),(100,1)}
        63:{1,3,6}:{(48,1),(53,1),(73,1),(74,1),(75,1)}
        64:{1,3,6}:{(49,1),(50,1),(55,1),(71,1),(76,1)}
        65:{2,5,7}:{(50,1),(51,1),(52,1),(76,1),(77,1)}
        66:{1,5}:{(51,1),(53,1)}
        67:{1,4,7}:{(52,1),(53,1),(74,1),(77,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(63,1),(66,1),(81,1),(84,1),(96,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(85,1)}
        75:{2,6}:{(63,1),(84,1),(85,1)}
        76:{2,6}:{(64,1),(65,1),(86,1)}
        77:{1,5,7}:{(65,1),(66,1),(67,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(76,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(77,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(75,1),(90,1)}
        85:{2,7}:{(74,1),(75,1)}
        86:{1,6}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(86,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(85,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1211 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1212 :   0:{1,3,5,6,7}:{(2,1),(3,1),(20,1),(24,1),(178,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(23,1),(24,1),(45,1),(54,1),(65,1),(94,1),(106,1),(116,1),(157,1),(170,1),(177,1),(236,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(40,1),(206,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(11,1),(74,1),(210,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(76,1),(82,1),(146,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(36,1),(38,1),(82,1),(140,1),(210,1),(264,1)}
         6:{2,4,5,7}:{(1,1),(10,1),(14,1),(15,1),(39,1),(40,1),(68,1),(79,1),(85,1),(124,1),(137,1),(142,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(61,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(50,1),(237,1)}
         9:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(26,1),(52,1),(57,1),(109,1),(174,1),(237,1)}
        10:{2,3,5,7}:{(6,1),(16,1),(22,1),(23,1),(46,1),(157,1),(170,1),(236,1),(278,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(19,1),(24,1),(99,1),(106,1)}
        12:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(24,1),(25,1),(54,1),(56,1),(106,1),(170,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(21,1),(24,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(22,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(6,1),(23,1),(27,1),(61,1),(94,1),(105,1),(106,1),(168,1)}
        16:{2,3,4,7}:{(10,1),(29,1),(30,1),(79,1),(85,1),(118,1),(128,1),(190,1),(204,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{1,4,5,6}:{(9,1),(31,1),(33,1),(42,1),(82,1),(201,1),(258,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(34,1),(40,1),(73,1),(79,1),(137,1)}
        20:{3,6,7}:{(8,1),(34,1),(264,1)}
        21:{3,5,6}:{(9,1),(34,1),(36,1),(140,1),(207,1),(264,1)}
        22:{2,3,6}:{(10,1),(14,1),(38,1),(140,1),(264,1),(294,1)}
        23:{1,3,5,7}:{(10,1),(15,1),(30,1),(38,1),(39,1),(69,1),(293,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(13,1),(34,1),(40,1)}
        25:{2,4,6,7}:{(12,1),(14,1),(35,1),(40,1),(41,1),(79,1),(81,1),(137,1)}
        26:{2,5,6}:{(13,1),(14,1),(40,1),(42,1),(142,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(39,1),(43,1),(44,1),(67,1),(85,1),(86,1),(121,1),(124,1),(136,1),(137,1),(142,1),(144,1),(146,1),(184,1),(187,1),(205,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(22,1),(46,1),(47,1),(57,1),(101,1),(111,1),(149,1),(150,1),(173,1),(214,1),(232,1)}
        30:{1,3,4,7}:{(16,1),(23,1),(47,1),(48,1),(93,1),(105,1),(106,1),(161,1),(170,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(19,1),(49,1),(61,1),(106,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(49,1),(50,1),(279,1)}
        33:{1,3,5,6}:{(18,1),(21,1),(49,1),(51,1),(52,1),(233,1),(279,1)}
        34:{3,5,7}:{(19,1),(20,1),(21,1),(54,1),(170,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(25,1),(50,1),(55,1),(56,1),(170,1)}
        36:{3,4,6}:{(21,1),(45,1),(54,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(26,1),(46,1),(52,1),(55,1),(57,1),(58,1),(101,1)}
        38:{1,3,6}:{(22,1),(23,1),(27,1),(59,1),(304,1)}
        39:{2,5,7}:{(23,1),(48,1),(59,1),(95,1)}
        40:{2,5,7}:{(24,1),(25,1),(26,1),(61,1)}
        41:{1,4,6,7}:{(25,1),(27,1),(56,1),(61,1),(106,1)}
        42:{1,5,6}:{(26,1),(27,1),(61,1),(168,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(59,1),(63,1),(64,1),(109,1),(111,1),(115,1),(169,1),(216,1),(237,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(60,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(170,1),(236,1),(269,1),(301,1)}
        45:{3,4,5}:{(36,1),(68,1),(207,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(142,1),(207,1),(261,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(38,1),(69,1),(70,1),(82,1),(122,1),(132,1),(135,1),(140,1),(181,1),(187,1),(190,1),(260,1)}
        48:{2,4,7}:{(30,1),(39,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(34,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{1,3,4,6}:{(33,1),(36,1),(66,1),(72,1),(75,1),(82,1),(132,1),(140,1)}
        52:{2,5,6}:{(33,1),(73,1),(75,1),(76,1),(261,1),(294,1)}
        53:{1,2,5,7}:{(39,1),(67,1),(77,1),(78,1),(121,1),(184,1),(293,1)}
        54:{3,4,7}:{(34,1),(36,1),(79,1)}
        55:{2,3,5,7}:{(34,1),(35,1),(37,1),(40,1),(73,1),(79,1),(80,1),(128,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(41,1),(74,1),(80,1),(81,1)}
        57:{2,4,6}:{(36,1),(37,1),(68,1),(79,1),(82,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(42,1),(69,1),(76,1),(80,1),(82,1),(83,1),(132,1),(140,1)}
        59:{2,6}:{(38,1),(39,1)}
        60:{2,3,5,7}:{(39,1),(44,1),(71,1),(78,1),(84,1),(85,1),(118,1),(125,1),(142,1),(182,1),(184,1)}
        61:{1,5,7}:{(40,1),(41,1),(42,1)}
        62:{1,2,4,6,7}:{(41,1),(43,1),(81,1),(86,1),(87,1),(137,1),(139,1),(144,1),(203,1),(247,1),(289,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(83,1),(86,1),(88,1),(121,1),(142,1),(198,1),(202,1),(206,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(84,1),(140,1),(264,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(85,1),(89,1),(144,1),(187,1),(190,1),(204,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(51,1),(91,1),(94,1),(152,1),(157,1),(219,1),(233,1)}
        67:{1,2,4,7}:{(48,1),(53,1),(92,1),(93,1),(105,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(57,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(168,1),(281,1)}
        70:{2,4,6}:{(47,1),(48,1),(59,1),(95,1),(96,1),(158,1),(165,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(170,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(54,1),(98,1),(106,1),(161,1),(170,1)}
        73:{2,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,6}:{(51,1),(52,1),(91,1),(98,1),(101,1),(102,1),(165,1)}
        76:{1,5,6}:{(52,1),(99,1),(102,1),(281,1),(304,1)}
        77:{1,2,6}:{(53,1),(59,1),(104,1),(216,1),(304,1)}
        78:{1,3,5,7}:{(53,1),(60,1),(93,1),(104,1),(105,1),(154,1),(168,1)}
        79:{2,4,7}:{(54,1),(55,1),(57,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(99,1),(106,1),(107,1),(161,1),(170,1)}
        81:{2,6,7}:{(56,1),(59,1),(107,1)}
        82:{1,4,6}:{(57,1),(58,1),(94,1),(106,1),(109,1)}
        83:{2,5,6}:{(58,1),(59,1),(95,1),(107,1),(109,1),(165,1)}
        84:{2,3,6}:{(59,1),(60,1),(64,1),(104,1),(111,1),(216,1)}
        85:{2,4,7}:{(60,1),(65,1),(105,1),(111,1),(158,1),(214,1)}
        86:{1,2,5,7}:{(61,1),(62,1),(63,1),(107,1),(113,1),(172,1),(226,1),(235,1),(271,1)}
        87:{1,3,6,7}:{(62,1),(64,1),(108,1),(113,1),(170,1),(301,1),(304,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(110,1),(113,1),(115,1),(116,1),(154,1),(231,1),(281,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(111,1),(115,1),(116,1),(173,1)}
        90:{1,3,4,5,7}:{(65,1),(112,1),(116,1),(117,1),(156,1),(177,1),(180,1),(220,1),(223,1),(236,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(75,1),(119,1),(120,1),(185,1),(249,1),(261,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(77,1),(121,1),(122,1),(135,1),(183,1),(187,1),(198,1),(242,1),(260,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(82,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(140,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(85,1),(123,1),(126,1),(127,1),(204,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(75,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(76,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(81,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{2,3,6}:{(75,1),(119,1),(128,1),(132,1),(140,1)}
       102:{1,4,6}:{(75,1),(76,1),(120,1),(129,1),(132,1)}
       103:{1,2,5,6}:{(76,1),(77,1),(83,1),(121,1),(130,1),(133,1),(134,1),(246,1),(261,1),(294,1),(296,1)}
       104:{1,3,6}:{(77,1),(78,1),(84,1),(135,1)}
       105:{1,4,7}:{(78,1),(85,1),(135,1),(187,1)}
       106:{1,4,7}:{(79,1),(80,1),(82,1),(137,1)}
       107:{2,5,7}:{(80,1),(81,1),(83,1),(137,1),(194,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(87,1),(131,1),(138,1),(139,1),(247,1),(264,1),(294,1)}
       109:{2,4,6}:{(82,1),(83,1),(124,1),(137,1),(140,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(125,1),(134,1),(138,1),(140,1),(141,1),(142,1),(182,1),(199,1),(206,1),(207,1),(246,1),(261,1),(264,1),(288,1),(294,1)}
       111:{2,4,6}:{(84,1),(85,1),(89,1),(135,1),(142,1)}
       112:{2,4,5,7}:{(85,1),(90,1),(127,1),(136,1),(142,1),(143,1),(184,1),(191,1),(209,1),(245,1),(254,1),(289,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(88,1),(138,1),(144,1),(255,1),(293,1)}
       114:{1,3,4,6,7}:{(87,1),(89,1),(139,1),(144,1),(145,1),(204,1),(210,1),(264,1)}
       115:{1,4,6}:{(88,1),(141,1),(144,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(142,1),(146,1),(207,1)}
       117:{1,3,4,6}:{(90,1),(143,1),(147,1),(189,1),(210,1),(251,1),(253,1),(264,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(101,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(102,1),(152,1),(272,1),(281,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(168,1),(215,1),(281,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(105,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(109,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(111,1),(155,1),(158,1),(159,1),(160,1),(173,1),(224,1),(232,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(112,1),(156,1),(159,1),(160,1),(236,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(101,1),(161,1),(170,1)}
       129:{1,4,7}:{(98,1),(99,1),(102,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(103,1),(107,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(104,1),(108,1),(163,1),(164,1),(279,1)}
       132:{1,3,6}:{(101,1),(102,1),(152,1),(161,1),(165,1)}
       133:{1,2,4,6}:{(102,1),(103,1),(109,1),(153,1),(162,1),(165,1),(166,1),(167,1),(232,1),(270,1),(302,1),(312,1)}
       134:{1,3,5,6}:{(103,1),(104,1),(110,1),(154,1),(163,1),(166,1),(167,1),(168,1),(230,1),(233,1),(279,1)}
       135:{1,4,6}:{(104,1),(105,1),(111,1),(168,1)}
       136:{1,4,5,7}:{(105,1),(112,1),(156,1),(168,1),(169,1),(220,1),(235,1),(275,1)}
       137:{2,4,7}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(170,1),(171,1),(172,1),(227,1),(236,1),(271,1),(278,1),(301,1)}
       139:{2,4,6,7}:{(108,1),(111,1),(114,1),(164,1),(171,1),(172,1),(237,1)}
       140:{3,6}:{(109,1),(157,1),(170,1)}
       141:{2,4,6}:{(110,1),(115,1),(158,1),(167,1),(171,1),(173,1),(174,1),(214,1)}
       142:{2,5}:{(111,1),(116,1),(168,1)}
       143:{2,4,6}:{(112,1),(117,1),(160,1),(169,1),(175,1),(216,1)}
       144:{1,4,7}:{(113,1),(115,1),(171,1)}
       145:{1,3,5,7}:{(114,1),(116,1),(172,1),(177,1),(178,1),(236,1)}
       146:{1,4,5}:{(115,1),(116,1),(174,1),(281,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(175,1),(179,1),(180,1),(239,1)}
       148:{1,3,4,6,7}:{(117,1),(176,1),(180,1),(222,1),(241,1),(275,1),(276,1),(284,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(132,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(133,1),(185,1),(186,1),(187,1),(201,1),(242,1),(245,1),(249,1),(261,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(135,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(260,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(136,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(140,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(142,1),(188,1),(191,1),(207,1),(261,1)}
       160:{2,3,6}:{(127,1),(143,1),(189,1),(264,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(132,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(133,1),(137,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(134,1),(138,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(135,1),(139,1),(196,1),(197,1),(258,1)}
       165:{2,6}:{(132,1),(185,1),(194,1)}
       166:{1,3,6}:{(133,1),(140,1),(186,1),(195,1),(199,1),(288,1)}
       167:{1,4,6}:{(134,1),(141,1),(187,1),(196,1),(201,1)}
       168:{1,5}:{(135,1),(142,1)}
       169:{1,4,6}:{(136,1),(143,1),(189,1),(202,1)}
       170:{3,7}:{(137,1),(140,1)}
       171:{2,4,7}:{(138,1),(141,1),(144,1),(196,1),(204,1)}
       172:{2,5,7}:{(139,1),(142,1),(145,1),(197,1),(206,1)}
       173:{3,4,6}:{(140,1),(141,1),(190,1),(204,1),(207,1),(244,1),(264,1),(288,1)}
       174:{2,4,5}:{(141,1),(142,1),(146,1),(201,1),(207,1),(261,1)}
       175:{2,5,6}:{(142,1),(143,1),(147,1),(202,1),(209,1)}
       176:{2,4,6,7}:{(143,1),(148,1),(193,1),(203,1),(209,1),(247,1),(254,1),(289,1)}
       177:{1,4,5,7}:{(144,1),(145,1),(146,1),(205,1),(210,1),(293,1)}
       178:{1,3,5,6}:{(145,1),(206,1),(210,1),(264,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(208,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(209,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(165,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(166,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(168,1),(215,1),(220,1),(269,1),(281,1)}
       189:{1,3,6}:{(156,1),(160,1),(169,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(175,1),(221,1),(224,1),(225,1),(239,1),(282,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(176,1),(222,1),(225,1),(284,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(165,1)}
       195:{1,3,7}:{(162,1),(166,1),(170,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(167,1),(171,1)}
       197:{1,5,7}:{(164,1),(168,1),(172,1),(230,1)}
       198:{1,2,6}:{(165,1),(217,1),(226,1),(231,1),(312,1)}
       199:{2,3,6}:{(165,1),(166,1),(218,1),(227,1),(231,1),(232,1),(312,1)}
       200:{1,3,4,6}:{(166,1),(167,1),(173,1),(219,1),(228,1),(232,1),(233,1),(279,1)}
       201:{1,4,5}:{(167,1),(168,1),(174,1),(233,1)}
       202:{1,5,6}:{(168,1),(169,1),(175,1),(235,1)}
       203:{1,4,6,7}:{(169,1),(176,1),(222,1),(235,1),(275,1)}
       204:{3,4,7}:{(170,1),(171,1),(173,1),(236,1),(301,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(177,1),(229,1),(236,1),(237,1),(278,1)}
       206:{2,5,6}:{(172,1),(178,1),(230,1),(237,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{2,4,5,6}:{(174,1),(175,1),(179,1),(224,1),(234,1),(237,1),(239,1),(240,1),(270,1),(282,1)}
       209:{2,5,7}:{(175,1),(176,1),(180,1),(235,1)}
       210:{1,4,6}:{(177,1),(178,1),(237,1),(304,1)}
       211:{1,3,5,6,7}:{(178,1),(180,1),(238,1),(241,1),(284,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(240,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(198,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(199,1),(243,1),(248,1),(249,1),(261,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(202,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(203,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(207,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(209,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(198,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(199,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(200,1),(204,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(201,1),(205,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(206,1),(258,1)}
       231:{1,3,6}:{(198,1),(199,1),(248,1),(255,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(249,1),(256,1),(260,1),(261,1),(294,1)}
       233:{1,3,5}:{(200,1),(201,1),(207,1),(261,1)}
       234:{1,4,5,6}:{(201,1),(202,1),(208,1),(251,1),(258,1),(262,1),(263,1)}
       235:{1,5,7}:{(202,1),(203,1),(209,1)}
       236:{3,5,7}:{(204,1),(205,1),(207,1),(264,1)}
       237:{2,4,6}:{(205,1),(206,1),(210,1),(258,1),(264,1),(294,1)}
       238:{2,5,6,7}:{(206,1),(209,1),(211,1),(259,1),(265,1)}
       239:{3,5,6}:{(207,1),(208,1),(253,1),(264,1),(266,1),(288,1)}
       240:{2,4,5,7}:{(208,1),(209,1),(212,1),(254,1),(263,1),(265,1),(266,1),(289,1),(297,1)}
       241:{1,4,6,7}:{(210,1),(211,1),(212,1),(265,1),(311,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(231,1),(267,1),(272,1),(281,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(233,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(235,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(239,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(231,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(232,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(233,1),(236,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(237,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(235,1),(238,1),(280,1)}
       260:{1,4,6}:{(231,1),(232,1),(272,1),(277,1),(281,1),(304,1)}
       261:{2,5}:{(232,1),(233,1),(281,1)}
       262:{1,3,5,6}:{(233,1),(234,1),(239,1),(274,1),(279,1),(282,1),(283,1)}
       263:{1,4,5,7}:{(234,1),(235,1),(240,1),(275,1),(280,1),(283,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{2,4,6,7}:{(237,1),(238,1),(240,1),(241,1),(280,1),(284,1),(305,1)}
       266:{3,5,7}:{(239,1),(240,1),(276,1),(284,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(261,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(262,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(260,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(261,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(264,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(295,1)}
       281:{1,5}:{(260,1),(261,1)}
       282:{2,5,6}:{(261,1),(262,1),(291,1),(294,1),(296,1),(297,1)}
       283:{1,3,5,7}:{(262,1),(263,1),(266,1),(292,1),(295,1),(297,1)}
       284:{3,6,7}:{(264,1),(265,1),(266,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(281,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(282,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(283,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(281,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(283,1),(284,1),(305,1)}
       296:{1,5,6}:{(281,1),(282,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(282,1),(283,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1213 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(50,1),(84,1),(85,1),(89,1),(90,1),(104,1),(148,1),(155,1),(158,1),(224,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(28,1),(59,1),(62,1),(70,1),(114,1),(120,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(194,1),(254,1)}
         3:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(38,1),(44,1),(89,1),(90,1),(155,1)}
         4:{1,3,5,6,7}:{(11,1),(12,1),(13,1),(44,1),(157,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(37,1),(148,1),(155,1),(224,1),(275,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(41,1),(84,1),(89,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(11,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,3,4,7}:{(5,1),(20,1),(21,1),(62,1),(70,1),(107,1),(182,1),(190,1),(191,1),(251,1)}
        10:{2,4,6,7}:{(3,1),(7,1),(22,1),(23,1),(24,1),(60,1),(62,1),(120,1)}
        11:{1,3,5,7}:{(3,1),(8,1),(24,1),(25,1),(66,1)}
        12:{2,5,6,7}:{(4,1),(24,1),(26,1),(27,1),(188,1)}
        13:{1,4,6,7}:{(4,1),(25,1),(27,1),(125,1),(194,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(28,1),(29,1),(58,1),(293,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(254,1),(292,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(55,1),(64,1),(70,1),(110,1),(114,1),(120,1),(123,1),(126,1),(131,1),(137,1),(172,1),(177,1),(189,1),(237,1),(282,1),(293,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(24,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(25,1),(34,1),(73,1),(137,1),(138,1),(194,1)}
        20:{1,3,4,7}:{(9,1),(14,1),(35,1),(36,1),(79,1),(89,1),(95,1),(155,1),(225,1),(276,1)}
        21:{2,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(49,1),(99,1),(140,1),(167,1),(168,1),(207,1),(216,1),(230,1)}
        22:{2,3,6,7}:{(10,1),(15,1),(38,1),(39,1),(44,1),(94,1),(155,1)}
        23:{1,4,6,7}:{(10,1),(17,1),(38,1),(41,1),(89,1)}
        24:{2,5,7}:{(10,1),(11,1),(18,1),(41,1)}
        25:{1,4,5,7}:{(11,1),(13,1),(19,1),(42,1),(89,1),(159,1)}
        26:{1,5,6,7}:{(12,1),(41,1),(43,1),(218,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(43,1),(44,1),(94,1),(223,1)}
        28:{2,5,7}:{(14,1),(35,1),(47,1),(83,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(304,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(37,1),(39,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(79,1),(104,1),(143,1),(148,1),(155,1),(224,1),(264,1),(296,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(205,1),(223,1),(263,1),(304,1)}
        33:{1,5,6}:{(17,1),(18,1),(41,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(42,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(223,1)}
        35:{2,4,7}:{(20,1),(28,1),(56,1),(57,1),(255,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(29,1),(57,1),(58,1),(73,1),(109,1),(127,1),(133,1),(177,1),(182,1),(203,1),(246,1),(259,1)}
        37:{2,3,5}:{(21,1),(58,1),(59,1),(131,1),(202,1),(258,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(29,1),(60,1),(61,1),(125,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(61,1),(62,1),(66,1),(124,1),(191,1)}
        40:{1,2,4,6,7}:{(23,1),(32,1),(60,1),(63,1),(64,1),(118,1),(120,1),(123,1),(195,1),(235,1),(282,1)}
        41:{1,5,7}:{(23,1),(24,1),(33,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(27,1),(34,1),(62,1),(65,1),(66,1),(120,1),(124,1)}
        43:{1,4,6,7}:{(26,1),(27,1),(65,1),(67,1),(249,1)}
        44:{3,6,7}:{(27,1),(66,1),(254,1)}
        45:{1,2,5,7}:{(28,1),(55,1),(68,1),(69,1),(110,1),(172,1),(293,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(56,1),(68,1),(70,1),(71,1),(107,1),(113,1),(131,1),(172,1),(174,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(58,1),(61,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(59,1),(62,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(123,1),(177,1),(182,1),(190,1),(238,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(254,1),(283,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(64,1),(72,1),(77,1),(110,1),(131,1),(188,1),(196,1),(236,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(65,1),(73,1),(78,1),(197,1),(249,1)}
        54:{3,5,6}:{(34,1),(66,1),(74,1),(133,1),(202,1),(254,1)}
        55:{1,2,4,7}:{(35,1),(45,1),(79,1),(80,1),(95,1),(139,1),(276,1),(277,1)}
        56:{2,3,7}:{(35,1),(79,1),(82,1),(155,1)}
        57:{2,4,6}:{(35,1),(36,1),(47,1),(82,1),(83,1),(147,1),(234,1),(272,1)}
        58:{1,3,5}:{(36,1),(37,1),(83,1),(84,1),(148,1),(161,1),(281,1)}
        59:{2,4,5}:{(37,1),(49,1),(84,1),(85,1),(207,1)}
        60:{2,6,7}:{(38,1),(47,1),(88,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(48,1),(88,1),(89,1),(155,1),(159,1),(225,1)}
        62:{2,4,7}:{(39,1),(49,1),(89,1),(90,1)}
        63:{1,3,6,7}:{(40,1),(51,1),(87,1),(92,1),(155,1),(296,1),(304,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(52,1),(88,1),(92,1),(153,1),(227,1),(262,1),(277,1)}
        65:{1,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(89,1),(93,1)}
        66:{3,5,7}:{(42,1),(44,1),(54,1),(90,1),(155,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(94,1),(274,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(79,1),(95,1),(96,1),(143,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(205,1),(304,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(147,1),(207,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(205,1)}
        72:{2,5,6}:{(47,1),(48,1),(83,1),(88,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(84,1),(89,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(85,1),(90,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(141,1),(158,1),(170,1),(210,1),(215,1),(224,1),(264,1),(266,1),(271,1),(296,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(92,1),(100,1),(104,1),(105,1),(143,1),(231,1),(281,1),(304,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(93,1),(102,1),(106,1),(229,1),(274,1)}
        79:{1,3,7}:{(55,1),(56,1),(107,1),(109,1)}
        80:{1,2,4,6}:{(55,1),(57,1),(69,1),(109,1),(110,1),(127,1),(173,1),(177,1),(259,1),(260,1),(289,1)}
        81:{2,3,4,7}:{(56,1),(70,1),(108,1),(111,1),(112,1),(190,1),(238,1),(244,1),(251,1),(306,1)}
        82:{2,3,6}:{(56,1),(57,1),(109,1),(113,1),(133,1),(290,1)}
        83:{2,5}:{(57,1),(58,1)}
        84:{1,4,5}:{(58,1),(59,1),(73,1),(114,1),(177,1)}
        85:{3,4,5}:{(59,1),(74,1),(202,1),(238,1)}
        86:{1,2,6,7}:{(60,1),(69,1),(116,1),(117,1),(125,1),(235,1),(292,1),(311,1)}
        87:{2,3,6,7}:{(60,1),(63,1),(71,1),(116,1),(118,1),(119,1),(235,1),(254,1),(292,1)}
        88:{2,5,7}:{(60,1),(61,1),(72,1),(120,1),(255,1)}
        89:{1,4,7}:{(61,1),(62,1),(73,1),(120,1)}
        90:{3,4,7}:{(62,1),(66,1),(74,1)}
        91:{1,3,4,6,7}:{(63,1),(76,1),(118,1),(122,1),(123,1),(190,1),(194,1),(254,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(77,1),(119,1),(123,1),(252,1),(293,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(67,1),(78,1),(121,1),(124,1)}
        94:{2,6,7}:{(67,1),(124,1),(125,1),(292,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(177,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(110,1),(117,1),(128,1),(129,1),(138,1),(236,1),(258,1),(292,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(111,1),(126,1),(130,1),(131,1),(172,1),(181,1),(200,1),(237,1),(244,1),(282,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(113,1),(119,1),(128,1),(131,1),(132,1),(133,1),(174,1),(188,1),(199,1),(202,1),(236,1),(254,1),(258,1),(283,1),(292,1)}
       101:{2,4,6}:{(72,1),(73,1),(114,1),(120,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(115,1),(121,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(175,1),(194,1),(240,1),(245,1),(254,1),(283,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(123,1),(132,1),(137,1),(177,1)}
       106:{2,5,6}:{(78,1),(124,1),(134,1),(138,1),(258,1),(292,1)}
       107:{2,3,7}:{(79,1),(139,1),(140,1),(296,1)}
       108:{1,3,4,7}:{(79,1),(81,1),(95,1),(139,1),(141,1),(142,1),(266,1),(276,1),(296,1),(312,1)}
       109:{1,3,6}:{(79,1),(80,1),(82,1),(140,1),(143,1),(302,1)}
       110:{1,2,5}:{(80,1),(83,1),(143,1),(161,1),(206,1),(281,1)}
       111:{2,3,5,7}:{(81,1),(98,1),(141,1),(145,1),(146,1),(224,1),(264,1),(275,1),(296,1)}
       112:{2,3,4,6}:{(81,1),(82,1),(99,1),(142,1),(145,1),(146,1),(147,1),(167,1),(214,1),(230,1),(265,1),(297,1)}
       113:{2,3,5}:{(82,1),(83,1),(143,1),(147,1),(148,1)}
       114:{2,4,5}:{(83,1),(84,1),(101,1),(147,1),(148,1)}
       115:{1,3,4,5}:{(84,1),(85,1),(102,1),(148,1),(149,1),(211,1),(217,1),(229,1)}
       116:{1,3,6,7}:{(86,1),(87,1),(96,1),(150,1),(151,1),(274,1)}
       117:{1,2,5,7}:{(86,1),(88,1),(97,1),(151,1),(152,1),(159,1),(262,1),(275,1),(305,1)}
       118:{2,4,6,7}:{(87,1),(91,1),(99,1),(150,1),(153,1),(154,1),(223,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(92,1),(100,1),(151,1),(153,1),(154,1),(155,1),(221,1),(224,1),(262,1),(275,1),(296,1)}
       120:{2,4,7}:{(88,1),(89,1),(101,1),(155,1)}
       121:{1,3,4,7}:{(89,1),(90,1),(93,1),(102,1),(155,1),(156,1),(225,1)}
       122:{1,3,5,7}:{(91,1),(104,1),(153,1),(157,1),(158,1),(224,1)}
       123:{1,4,7}:{(92,1),(105,1),(154,1)}
       124:{2,5,7}:{(93,1),(94,1),(106,1),(156,1),(159,1)}
       125:{1,6,7}:{(94,1),(159,1),(304,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(141,1),(160,1),(161,1),(210,1),(227,1),(266,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(143,1),(151,1),(161,1),(162,1),(163,1),(218,1),(229,1),(274,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(144,1),(152,1),(162,1),(163,1),(169,1),(230,1),(234,1),(263,1),(301,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(145,1),(160,1),(165,1),(205,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(147,1),(154,1),(162,1),(166,1),(167,1),(207,1)}
       133:{3,6}:{(101,1),(148,1),(155,1)}
       134:{2,4,6}:{(102,1),(106,1),(149,1),(156,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(208,1),(226,1),(266,1),(271,1),(278,1),(296,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(159,1),(169,1),(281,1),(304,1)}
       139:{2,4,7}:{(107,1),(108,1),(172,1),(173,1),(314,1)}
       140:{2,3,6}:{(107,1),(109,1),(173,1),(174,1),(283,1),(309,1)}
       141:{1,3,5,7}:{(108,1),(111,1),(126,1),(172,1),(175,1),(176,1),(293,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(112,1),(127,1),(173,1),(175,1),(176,1),(177,1),(238,1),(240,1),(259,1),(283,1),(285,1),(307,1)}
       143:{1,3,5}:{(109,1),(110,1),(113,1),(174,1),(177,1)}
       144:{1,2,4,5}:{(110,1),(114,1),(129,1),(177,1),(178,1),(184,1),(197,1),(237,1),(242,1),(247,1),(258,1),(288,1),(289,1),(308,1)}
       145:{2,3,6}:{(111,1),(130,1),(175,1),(254,1),(283,1),(292,1)}
       146:{2,3,5}:{(112,1),(131,1),(176,1),(181,1),(202,1),(258,1)}
       147:{2,4}:{(113,1),(177,1),(182,1)}
       148:{3,5}:{(114,1),(133,1),(182,1)}
       149:{2,4,5}:{(115,1),(134,1),(183,1),(184,1),(242,1),(247,1),(258,1)}
       150:{1,4,6,7}:{(116,1),(118,1),(127,1),(185,1),(186,1),(249,1)}
       151:{1,3,5,7}:{(116,1),(117,1),(119,1),(128,1),(185,1),(186,1),(187,1)}
       152:{1,2,4,7}:{(117,1),(120,1),(129,1),(186,1),(187,1),(192,1),(251,1),(255,1),(282,1),(310,1),(314,1)}
       153:{2,5,7}:{(118,1),(122,1),(131,1),(185,1),(188,1)}
       154:{2,4,7}:{(119,1),(123,1),(132,1),(186,1),(190,1)}
       155:{3,7}:{(120,1),(133,1)}
       156:{2,4,7}:{(121,1),(124,1),(134,1),(191,1),(192,1),(255,1)}
       157:{1,3,5,6}:{(122,1),(188,1),(194,1),(254,1)}
       158:{1,4,5,7}:{(122,1),(123,1),(137,1),(189,1),(194,1),(293,1)}
       159:{1,5,7}:{(124,1),(125,1),(138,1),(192,1)}
       160:{1,4,6}:{(126,1),(130,1),(175,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(177,1),(186,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(178,1),(187,1),(199,1),(283,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(179,1),(195,1),(200,1),(235,1),(244,1),(282,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(182,1),(190,1),(202,1),(238,1),(254,1),(283,1)}
       168:{2,3,6}:{(133,1),(134,1),(183,1),(191,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(184,1),(192,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(194,1),(201,1),(204,1),(240,1),(295,1)}
       172:{2,5,7}:{(139,1),(141,1),(205,1),(206,1)}
       173:{2,4,6}:{(139,1),(140,1),(142,1),(205,1),(206,1),(207,1),(299,1),(313,1)}
       174:{2,3,5}:{(140,1),(143,1),(206,1),(207,1),(264,1)}
       175:{1,3,6}:{(141,1),(145,1),(160,1),(205,1),(304,1)}
       176:{1,3,5}:{(142,1),(146,1),(161,1),(206,1),(210,1),(264,1),(281,1)}
       177:{1,4}:{(143,1),(147,1),(207,1)}
       178:{1,3,5}:{(144,1),(148,1),(163,1),(211,1),(212,1),(264,1),(302,1)}
       179:{2,3,6,7}:{(145,1),(164,1),(208,1),(213,1),(278,1),(296,1),(303,1)}
       180:{2,3,5,6}:{(145,1),(146,1),(165,1),(209,1),(213,1),(214,1),(233,1),(280,1),(297,1)}
       181:{2,4,5}:{(146,1),(147,1),(210,1),(214,1),(215,1)}
       182:{3,4}:{(147,1),(148,1)}
       183:{2,3,5}:{(148,1),(149,1),(168,1),(216,1),(217,1)}
       184:{1,4,5}:{(149,1),(169,1),(217,1),(269,1),(281,1)}
       185:{1,5,7}:{(150,1),(153,1),(161,1),(218,1)}
       186:{1,4,7}:{(151,1),(154,1),(162,1)}
       187:{1,3,7}:{(152,1),(155,1),(163,1),(221,1),(296,1)}
       188:{2,5,6}:{(153,1),(157,1),(218,1),(223,1)}
       189:{2,4,5,7}:{(153,1),(154,1),(158,1),(166,1),(219,1),(223,1),(224,1),(275,1)}
       190:{3,4,7}:{(154,1),(155,1),(167,1),(224,1),(296,1)}
       191:{2,3,7}:{(155,1),(156,1),(168,1),(225,1)}
       192:{1,4,7}:{(156,1),(159,1),(169,1),(225,1)}
       193:{1,3,5,6,7}:{(157,1),(170,1),(222,1),(226,1),(278,1)}
       194:{1,4,6}:{(157,1),(158,1),(223,1),(304,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(208,1),(227,1),(266,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(211,1),(220,1),(229,1),(230,1),(274,1)}
       199:{2,3,6}:{(163,1),(212,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(214,1),(223,1),(228,1),(232,1),(233,1),(263,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(217,1),(225,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(226,1),(232,1),(266,1),(305,1)}
       205:{2,6}:{(172,1),(175,1)}
       206:{2,5}:{(173,1),(176,1)}
       207:{2,4}:{(174,1),(177,1),(238,1)}
       208:{1,3,6,7}:{(175,1),(179,1),(195,1),(235,1),(239,1),(311,1)}
       209:{1,3,5,6}:{(175,1),(176,1),(180,1),(196,1),(236,1),(239,1),(240,1),(283,1),(295,1),(307,1)}
       210:{1,4,5}:{(176,1),(177,1),(181,1),(237,1),(240,1)}
       211:{1,3,4}:{(177,1),(178,1),(182,1),(238,1),(242,1)}
       212:{2,3,5}:{(178,1),(199,1),(242,1),(243,1),(247,1),(258,1),(290,1),(308,1),(309,1)}
       213:{2,3,5,7}:{(179,1),(180,1),(200,1),(239,1),(244,1),(261,1),(294,1),(306,1)}
       214:{2,4,6}:{(180,1),(181,1),(240,1),(244,1),(245,1)}
       215:{3,4,5}:{(181,1),(182,1),(202,1),(245,1)}
       216:{2,3,4}:{(182,1),(183,1),(242,1),(246,1),(309,1)}
       217:{1,3,5}:{(183,1),(184,1),(203,1),(246,1),(247,1)}
       218:{1,5,6}:{(185,1),(188,1),(249,1)}
       219:{1,4,5,7}:{(185,1),(186,1),(189,1),(197,1),(249,1),(250,1)}
       220:{1,3,4,7}:{(186,1),(187,1),(190,1),(198,1),(250,1),(251,1)}
       221:{2,3,7}:{(187,1),(199,1),(251,1),(252,1),(255,1),(314,1)}
       222:{2,5,6,7}:{(188,1),(193,1),(200,1),(248,1),(253,1)}
       223:{2,4,6}:{(188,1),(189,1),(194,1),(249,1),(254,1),(292,1)}
       224:{3,5,7}:{(189,1),(190,1),(202,1),(254,1)}
       225:{1,3,7}:{(191,1),(192,1),(203,1),(255,1)}
       226:{1,4,6,7}:{(193,1),(194,1),(204,1),(253,1),(311,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(240,1),(249,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(242,1),(251,1),(258,1),(259,1),(292,1)}
       231:{1,3,6}:{(199,1),(243,1),(252,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(244,1),(253,1),(256,1),(261,1),(282,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(245,1),(254,1),(261,1),(283,1)}
       234:{2,6}:{(203,1),(247,1),(255,1)}
       235:{2,6,7}:{(205,1),(208,1),(262,1)}
       236:{2,5,6}:{(205,1),(206,1),(209,1),(262,1),(263,1),(313,1)}
       237:{2,4,5}:{(206,1),(207,1),(210,1),(263,1),(264,1)}
       238:{3,4}:{(207,1),(264,1)}
       239:{1,3,5,7}:{(208,1),(209,1),(213,1),(227,1),(262,1),(266,1),(296,1),(305,1),(312,1)}
       240:{1,4,6}:{(209,1),(210,1),(214,1),(263,1),(266,1)}
       241:{1,3,4,5}:{(210,1),(211,1),(215,1),(229,1),(264,1),(267,1),(268,1),(298,1)}
       242:{2,4}:{(211,1),(212,1),(269,1)}
       243:{1,3,5}:{(212,1),(231,1),(269,1),(270,1),(281,1),(302,1)}
       244:{2,4,7}:{(213,1),(214,1),(266,1),(271,1)}
       245:{3,4,6}:{(214,1),(215,1),(233,1),(271,1)}
       246:{1,3,4}:{(216,1),(217,1),(269,1),(272,1),(302,1)}
       247:{2,5}:{(217,1),(234,1),(272,1)}
       248:{1,5,6,7}:{(218,1),(222,1),(227,1),(273,1)}
       249:{1,4,6}:{(218,1),(219,1),(223,1),(274,1)}
       250:{1,3,5,7}:{(219,1),(220,1),(224,1),(229,1),(274,1),(275,1)}
       251:{2,4,7}:{(220,1),(221,1),(230,1),(275,1),(276,1)}
       252:{1,3,7}:{(221,1),(231,1),(276,1),(277,1)}
       253:{2,4,6,7}:{(222,1),(223,1),(226,1),(232,1),(273,1),(278,1),(303,1)}
       254:{3,6}:{(223,1),(224,1)}
       255:{2,7}:{(225,1),(234,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(266,1),(273,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(267,1),(274,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(269,1),(276,1),(281,1),(304,1)}
       260:{1,2,6}:{(231,1),(234,1),(270,1),(277,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(271,1),(278,1),(296,1)}
       262:{2,5,7}:{(235,1),(236,1),(239,1),(282,1),(314,1)}
       263:{2,4,6}:{(236,1),(237,1),(240,1),(282,1),(283,1)}
       264:{3,5}:{(237,1),(238,1),(283,1)}
       265:{2,3,4}:{(238,1),(242,1),(284,1),(285,1),(290,1)}
       266:{1,4,7}:{(239,1),(240,1),(244,1),(282,1)}
       267:{1,3,4,6}:{(240,1),(241,1),(245,1),(257,1),(283,1),(286,1),(287,1),(307,1)}
       268:{2,4,5}:{(241,1),(242,1),(258,1),(284,1),(287,1),(288,1),(308,1)}
       269:{1,4}:{(242,1),(243,1)}
       270:{1,2,5}:{(243,1),(247,1),(260,1),(289,1),(308,1)}
       271:{3,4,7}:{(244,1),(245,1),(261,1)}
       272:{2,4}:{(246,1),(247,1),(290,1)}
       273:{1,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(291,1)}
       274:{1,3,6}:{(249,1),(250,1),(254,1),(292,1)}
       275:{2,5,7}:{(250,1),(251,1),(258,1),(292,1),(293,1)}
       276:{1,4,7}:{(251,1),(252,1),(259,1),(293,1)}
       277:{1,2,7}:{(252,1),(255,1),(260,1),(314,1)}
       278:{3,6,7}:{(253,1),(254,1),(261,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(286,1),(291,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(287,1),(292,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{2,4,7}:{(262,1),(263,1),(266,1),(296,1)}
       283:{3,6}:{(263,1),(264,1),(296,1)}
       284:{2,3,5}:{(264,1),(265,1),(268,1),(297,1),(298,1)}
       285:{1,3,4}:{(265,1),(269,1),(298,1),(299,1),(302,1)}
       286:{1,3,4,7}:{(266,1),(267,1),(271,1),(279,1),(296,1),(300,1),(312,1)}
       287:{2,4,6}:{(267,1),(268,1),(280,1),(297,1),(300,1),(301,1),(313,1)}
       288:{1,4,5}:{(268,1),(269,1),(281,1),(298,1),(301,1)}
       289:{1,2,4}:{(269,1),(270,1),(272,1),(299,1),(302,1)}
       290:{2,3}:{(272,1),(302,1)}
       291:{1,3,6,7}:{(273,1),(274,1),(278,1),(279,1),(303,1)}
       292:{2,6}:{(274,1),(275,1),(304,1)}
       293:{1,5,7}:{(275,1),(276,1),(281,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(300,1),(303,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(301,1),(304,1),(305,1)}
       296:{3,7}:{(282,1),(283,1)}
       297:{2,3,6}:{(283,1),(284,1),(287,1),(306,1),(307,1)}
       298:{1,3,5}:{(284,1),(285,1),(288,1),(307,1),(308,1)}
       299:{2,4}:{(285,1),(308,1),(309,1)}
       300:{2,4,7}:{(286,1),(287,1),(294,1),(306,1),(310,1),(314,1)}
       301:{1,4,6}:{(287,1),(288,1),(295,1),(307,1),(310,1)}
       302:{1,3}:{(289,1),(290,1),(309,1)}
       303:{2,6,7}:{(291,1),(292,1),(294,1),(311,1)}
       304:{1,6}:{(292,1),(293,1)}
       305:{1,5,7}:{(294,1),(295,1),(310,1),(311,1)}
       306:{2,3,7}:{(296,1),(297,1),(300,1),(312,1)}
       307:{1,3,6}:{(297,1),(298,1),(301,1),(312,1),(313,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{2,3}:{(299,1),(302,1)}
       310:{1,4,7}:{(300,1),(301,1),(305,1),(312,1)}
       311:{1,6,7}:{(303,1),(304,1),(305,1)}
       312:{1,3,7}:{(306,1),(307,1),(310,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1214 :   0:{1,3,4,5,7}:{(2,1),(3,1),(11,1),(17,1),(20,1),(50,1),(118,1),(131,1),(132,1),(134,1),(135,1),(197,1),(206,1),(208,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(28,1),(35,1),(75,1),(80,1),(82,1),(83,1),(86,1),(143,1),(159,1),(161,1),(170,1),(172,1),(221,1),(231,1),(269,1),(280,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(8,1),(9,1),(25,1),(35,1),(40,1),(82,1),(93,1),(96,1),(170,1),(172,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(36,1),(98,1),(99,1),(157,1),(174,1),(229,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(50,1),(119,1),(197,1),(198,1),(206,1),(208,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(49,1),(56,1),(62,1),(112,1),(136,1),(181,1),(195,1),(248,1),(296,1)}
         6:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(59,1),(197,1),(206,1),(208,1),(258,1)}
         7:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(60,1),(66,1),(134,1),(135,1),(139,1),(208,1)}
         8:{1,4,5,7}:{(2,1),(17,1),(21,1),(48,1),(67,1),(121,1),(131,1),(134,1)}
         9:{2,4,6}:{(2,1),(3,1),(18,1),(21,1),(22,1),(62,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1),(50,1),(70,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(86,1),(166,1),(231,1),(238,1),(273,1)}
        12:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(39,1),(78,1),(86,1),(94,1),(151,1),(172,1),(214,1),(269,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(29,1),(30,1),(35,1),(82,1),(90,1),(143,1),(146,1),(169,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(174,1),(229,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(28,1),(31,1),(42,1),(82,1),(97,1),(154,1),(156,1),(161,1),(217,1),(284,1)}
        16:{2,3,4,7}:{(6,1),(25,1),(32,1),(33,1),(96,1),(146,1),(166,1),(235,1),(238,1),(241,1)}
        17:{1,3,5,7}:{(6,1),(8,1),(32,1),(35,1),(36,1),(92,1),(280,1)}
        18:{2,3,6}:{(6,1),(9,1),(36,1),(174,1),(229,1),(279,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(34,1),(39,1),(40,1),(94,1),(96,1),(172,1)}
        20:{1,3,5,7}:{(7,1),(10,1),(40,1),(41,1),(103,1)}
        21:{1,4,6}:{(8,1),(9,1),(36,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(40,1),(42,1),(82,1)}
        23:{1,4,5,6}:{(10,1),(41,1),(43,1),(83,1),(98,1),(157,1),(178,1)}
        24:{1,3,4,5,7}:{(11,1),(45,1),(46,1),(50,1),(105,1),(111,1),(118,1),(186,1),(187,1),(197,1),(246,1),(247,1),(251,1),(288,1)}
        25:{2,4,7}:{(11,1),(13,1),(48,1),(49,1),(205,1),(250,1)}
        26:{1,3,4,6}:{(11,1),(14,1),(49,1),(50,1),(56,1),(128,1)}
        27:{1,3,6,7}:{(12,1),(14,1),(51,1),(52,1),(208,1),(288,1),(296,1)}
        28:{1,2,5,7}:{(12,1),(15,1),(52,1),(67,1),(117,1),(133,1),(190,1),(245,1),(299,1)}
        29:{1,3,5,7}:{(13,1),(48,1),(53,1),(54,1),(119,1),(121,1),(198,1)}
        30:{2,3,6}:{(13,1),(14,1),(49,1),(54,1),(62,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(50,1),(52,1),(55,1),(56,1),(198,1),(261,1),(264,1),(296,1)}
        32:{1,3,4,7}:{(16,1),(17,1),(48,1),(57,1),(58,1),(119,1),(134,1),(208,1),(263,1),(267,1)}
        33:{2,3,4,6}:{(16,1),(18,1),(49,1),(58,1),(59,1),(64,1),(128,1),(184,1),(204,1),(210,1),(250,1),(265,1)}
        34:{2,3,6,7}:{(18,1),(19,1),(60,1),(61,1),(139,1),(208,1),(212,1)}
        35:{2,5,7}:{(17,1),(57,1),(62,1),(130,1)}
        36:{1,3,6}:{(17,1),(18,1),(21,1),(62,1),(296,1)}
        37:{2,3,5,6}:{(18,1),(22,1),(59,1),(61,1),(63,1),(64,1),(70,1),(141,1),(210,1)}
        38:{1,3,5,6,7}:{(20,1),(65,1),(66,1),(115,1),(139,1)}
        39:{1,4,6,7}:{(19,1),(21,1),(60,1),(67,1),(134,1)}
        40:{2,5,7}:{(19,1),(20,1),(22,1),(67,1)}
        41:{1,4,5,7}:{(20,1),(23,1),(66,1),(68,1),(134,1),(213,1)}
        42:{1,5,6}:{(21,1),(22,1),(67,1),(121,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(64,1),(68,1),(69,1),(70,1),(122,1),(136,1),(141,1),(195,1)}
        44:{2,3,4,7}:{(25,1),(71,1),(72,1),(73,1),(90,1),(166,1),(216,1),(235,1),(273,1),(301,1)}
        45:{2,4,5,7}:{(24,1),(25,1),(71,1),(75,1),(76,1),(82,1),(143,1),(149,1),(152,1),(216,1),(221,1),(269,1)}
        46:{1,3,4,6}:{(24,1),(76,1),(77,1),(144,1),(157,1),(218,1),(219,1),(229,1),(271,1)}
        47:{1,3,4,6,7}:{(26,1),(27,1),(78,1),(79,1),(86,1),(157,1),(166,1),(229,1)}
        48:{1,4,7}:{(25,1),(29,1),(81,1),(231,1)}
        49:{2,4,6}:{(25,1),(26,1),(30,1),(81,1),(82,1)}
        50:{1,3,5}:{(26,1),(82,1),(83,1),(163,1)}
        51:{2,3,6,7}:{(27,1),(30,1),(78,1),(84,1),(85,1),(94,1),(214,1),(229,1),(279,1)}
        52:{1,3,5,7}:{(27,1),(28,1),(31,1),(85,1),(86,1),(280,1),(283,1)}
        53:{1,2,5,7}:{(29,1),(35,1),(80,1),(87,1),(143,1),(161,1),(280,1)}
        54:{1,3,6}:{(29,1),(30,1),(81,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(82,1),(85,1),(88,1),(89,1),(97,1),(156,1),(163,1),(169,1),(174,1),(217,1),(220,1),(229,1),(233,1),(236,1),(271,1),(279,1)}
        56:{1,4,6}:{(31,1),(83,1),(86,1),(89,1),(231,1)}
        57:{2,4,7}:{(32,1),(35,1),(90,1),(91,1),(287,1)}
        58:{1,3,4,6}:{(32,1),(33,1),(36,1),(81,1),(91,1),(92,1),(98,1),(160,1),(174,1),(231,1),(237,1),(238,1),(243,1),(285,1)}
        59:{2,3,5}:{(33,1),(82,1),(92,1),(93,1),(163,1),(233,1)}
        60:{1,3,6,7}:{(34,1),(36,1),(39,1),(94,1),(95,1),(244,1)}
        61:{2,3,5,7}:{(34,1),(37,1),(40,1),(95,1),(96,1),(103,1),(177,1),(241,1)}
        62:{2,6}:{(35,1),(36,1)}
        63:{1,3,5,6}:{(36,1),(37,1),(42,1),(92,1),(95,1),(97,1),(98,1),(174,1),(178,1),(243,1)}
        64:{2,4,6}:{(37,1),(93,1),(96,1),(98,1),(99,1)}
        65:{2,5,6,7}:{(38,1),(40,1),(100,1),(101,1),(156,1)}
        66:{1,4,6,7}:{(38,1),(41,1),(101,1),(157,1),(244,1)}
        67:{1,5,7}:{(39,1),(40,1),(42,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(96,1),(101,1),(102,1),(103,1),(172,1),(177,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(98,1),(102,1),(104,1),(162,1),(228,1)}
        70:{3,5,6}:{(43,1),(99,1),(103,1),(163,1),(174,1),(229,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(105,1),(106,1),(109,1),(197,1),(251,1),(258,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(48,1),(105,1),(107,1),(108,1),(119,1),(246,1),(263,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(49,1),(106,1),(108,1),(109,1),(128,1),(129,1),(183,1),(204,1),(205,1),(290,1),(292,1)}
        74:{1,3,4,6,7}:{(46,1),(110,1),(111,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        75:{1,4,5,7}:{(45,1),(48,1),(105,1),(112,1),(121,1),(186,1),(190,1),(246,1)}
        76:{2,4,6}:{(45,1),(46,1),(106,1),(112,1),(113,1),(181,1)}
        77:{1,3,5,6}:{(46,1),(50,1),(111,1),(113,1),(114,1),(193,1)}
        78:{2,4,6,7}:{(47,1),(49,1),(51,1),(116,1),(117,1),(125,1),(195,1)}
        79:{1,3,5,7}:{(47,1),(50,1),(115,1),(117,1),(118,1),(197,1)}
        80:{1,2,4,7}:{(48,1),(53,1),(57,1),(107,1),(119,1),(120,1),(263,1),(299,1)}
        81:{1,4,6}:{(48,1),(49,1),(54,1),(121,1)}
        82:{2,5}:{(49,1),(50,1),(121,1)}
        83:{1,4,5}:{(50,1),(56,1),(122,1),(261,1)}
        84:{1,3,6,7}:{(51,1),(54,1),(116,1),(123,1),(124,1),(257,1)}
        85:{2,3,5,7}:{(51,1),(52,1),(55,1),(117,1),(124,1),(125,1),(133,1),(197,1),(208,1),(245,1),(258,1),(262,1),(288,1)}
        86:{1,4,7}:{(52,1),(56,1),(125,1)}
        87:{1,2,6}:{(53,1),(54,1),(62,1),(181,1),(296,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(121,1),(124,1),(126,1),(127,1),(194,1),(198,1),(200,1),(203,1),(257,1)}
        89:{2,4,6}:{(55,1),(56,1),(122,1),(125,1),(127,1),(128,1),(205,1),(250,1)}
        90:{2,3,7}:{(57,1),(119,1),(129,1),(208,1)}
        91:{2,4,6}:{(57,1),(58,1),(62,1),(129,1),(130,1),(205,1),(268,1),(300,1)}
        92:{1,3,5}:{(58,1),(59,1),(121,1),(130,1),(131,1),(206,1),(261,1)}
        93:{2,4,5}:{(59,1),(64,1),(131,1),(132,1),(250,1)}
        94:{2,6,7}:{(60,1),(62,1),(133,1)}
        95:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(133,1),(134,1),(208,1),(213,1),(267,1)}
        96:{2,4,7}:{(61,1),(64,1),(134,1),(135,1)}
        97:{2,5,6}:{(62,1),(63,1),(130,1),(133,1),(136,1),(268,1)}
        98:{1,4,6}:{(63,1),(64,1),(131,1),(134,1),(136,1)}
        99:{3,4,6}:{(64,1),(70,1),(132,1),(135,1)}
       100:{1,5,6,7}:{(65,1),(67,1),(138,1),(194,1)}
       101:{2,4,6,7}:{(65,1),(66,1),(68,1),(138,1),(139,1),(195,1),(212,1)}
       102:{1,4,5,7}:{(67,1),(68,1),(69,1),(134,1),(138,1),(140,1)}
       103:{3,5,7}:{(68,1),(70,1),(135,1),(139,1),(208,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(137,1),(140,1),(141,1),(200,1),(257,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(75,1),(143,1),(144,1),(148,1),(280,1)}
       106:{2,3,6}:{(71,1),(76,1),(144,1),(229,1),(271,1),(279,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(81,1),(144,1),(147,1),(148,1),(160,1),(218,1),(231,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(82,1),(148,1),(149,1),(163,1),(233,1)}
       110:{2,4,6,7}:{(74,1),(76,1),(142,1),(151,1),(152,1),(214,1),(216,1),(269,1)}
       111:{1,3,5,7}:{(74,1),(77,1),(152,1),(153,1),(226,1)}
       112:{1,4,6}:{(75,1),(76,1),(144,1),(154,1)}
       113:{2,5,6}:{(76,1),(77,1),(82,1),(152,1),(154,1)}
       114:{1,4,5,6}:{(77,1),(83,1),(153,1),(155,1),(157,1),(218,1),(278,1)}
       115:{1,3,5,6}:{(79,1),(156,1),(157,1),(229,1)}
       116:{1,4,6,7}:{(78,1),(81,1),(84,1),(158,1),(165,1),(228,1)}
       117:{2,5,7}:{(78,1),(79,1),(82,1),(156,1),(158,1)}
       118:{1,4,5,7}:{(79,1),(83,1),(86,1),(157,1),(159,1),(280,1)}
       119:{1,3,7}:{(80,1),(90,1),(146,1),(160,1)}
       120:{1,2,4,6}:{(80,1),(81,1),(87,1),(91,1),(147,1),(160,1),(161,1),(231,1),(237,1),(284,1),(307,1)}
       121:{1,5}:{(81,1),(82,1)}
       122:{2,4,5}:{(82,1),(83,1),(89,1),(162,1),(163,1),(233,1)}
       123:{1,2,6,7}:{(84,1),(87,1),(94,1),(164,1),(214,1),(244,1),(279,1),(306,1)}
       124:{1,3,5,7}:{(84,1),(85,1),(88,1),(158,1),(164,1),(165,1),(234,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(165,1),(166,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(97,1),(161,1),(164,1),(167,1),(178,1),(217,1),(233,1),(278,1),(279,1)}
       127:{1,4,6}:{(88,1),(89,1),(162,1),(165,1),(231,1)}
       128:{3,4,6}:{(89,1),(163,1),(166,1),(174,1),(229,1),(238,1),(271,1),(273,1)}
       129:{2,3,6}:{(90,1),(91,1),(160,1),(169,1),(174,1),(308,1)}
       130:{2,5}:{(91,1),(92,1)}
       131:{1,4,5}:{(92,1),(93,1),(98,1),(170,1),(231,1)}
       132:{3,4,5}:{(93,1),(99,1),(163,1),(273,1)}
       133:{2,5,7}:{(94,1),(95,1),(97,1),(172,1),(287,1)}
       134:{1,4,7}:{(95,1),(96,1),(98,1),(172,1)}
       135:{3,4,7}:{(96,1),(99,1),(103,1)}
       136:{2,4,6}:{(97,1),(98,1),(170,1),(172,1),(174,1)}
       137:{1,3,4,6}:{(98,1),(99,1),(104,1),(171,1),(173,1),(174,1),(175,1),(243,1)}
       138:{1,4,6,7}:{(100,1),(101,1),(102,1),(176,1),(228,1)}
       139:{3,6,7}:{(101,1),(103,1),(229,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(104,1),(173,1),(176,1),(177,1)}
       141:{2,5,6}:{(104,1),(175,1),(177,1),(178,1),(233,1),(279,1)}
       142:{2,3,6,7}:{(106,1),(110,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(112,1),(181,1),(296,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(113,1),(180,1),(182,1),(183,1),(193,1),(256,1),(290,1)}
       146:{2,3,7}:{(107,1),(119,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(121,1),(185,1),(186,1),(251,1),(261,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(205,1)}
       150:{1,3,5,6,7}:{(111,1),(115,1),(188,1),(189,1),(254,1)}
       151:{1,4,6,7}:{(110,1),(112,1),(179,1),(190,1),(246,1)}
       152:{2,5,7}:{(110,1),(111,1),(113,1),(190,1)}
       153:{1,4,5,7}:{(111,1),(114,1),(189,1),(191,1),(246,1),(295,1)}
       154:{1,5,6}:{(112,1),(113,1),(121,1),(190,1)}
       155:{2,4,5,6}:{(113,1),(114,1),(122,1),(183,1),(191,1),(192,1),(193,1),(195,1),(248,1),(256,1)}
       156:{2,5,6}:{(115,1),(117,1),(194,1),(195,1)}
       157:{1,4,6}:{(115,1),(118,1),(195,1),(296,1)}
       158:{1,5,7}:{(116,1),(117,1),(121,1),(194,1)}
       159:{2,4,5,7}:{(117,1),(118,1),(122,1),(125,1),(195,1),(196,1),(197,1),(258,1)}
       160:{1,3,6}:{(119,1),(120,1),(129,1),(184,1),(198,1),(312,1)}
       161:{1,2,5}:{(120,1),(121,1),(130,1),(185,1),(198,1),(261,1)}
       162:{1,4,5}:{(121,1),(122,1),(127,1),(200,1)}
       163:{3,5}:{(122,1),(128,1)}
       164:{1,2,5,7}:{(123,1),(124,1),(126,1),(133,1),(201,1),(213,1),(245,1),(258,1),(295,1)}
       165:{1,4,7}:{(124,1),(125,1),(127,1)}
       166:{3,4,7}:{(125,1),(128,1),(197,1),(208,1),(288,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(136,1),(199,1),(201,1),(203,1),(204,1),(211,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(200,1),(202,1),(203,1),(204,1),(257,1),(259,1)}
       169:{2,3,5}:{(129,1),(130,1),(198,1),(205,1),(206,1)}
       170:{2,4,5}:{(130,1),(131,1),(136,1),(205,1),(206,1)}
       171:{1,3,4,5}:{(131,1),(132,1),(137,1),(200,1),(206,1),(207,1),(259,1),(266,1)}
       172:{2,4,7}:{(133,1),(134,1),(136,1),(208,1)}
       173:{1,3,4,7}:{(134,1),(135,1),(137,1),(140,1),(208,1),(209,1),(267,1)}
       174:{3,6}:{(136,1),(206,1),(208,1)}
       175:{2,4,6}:{(137,1),(141,1),(207,1),(209,1),(210,1),(211,1),(268,1)}
       176:{1,3,6,7}:{(138,1),(139,1),(140,1),(212,1),(257,1)}
       177:{2,5,7}:{(140,1),(141,1),(209,1),(212,1),(213,1)}
       178:{1,5,6}:{(141,1),(211,1),(213,1),(261,1),(296,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(151,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(152,1),(215,1),(216,1),(226,1),(277,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(154,1),(215,1),(217,1),(218,1),(271,1),(278,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(160,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(231,1)}
       187:{3,4,5}:{(149,1),(163,1),(219,1),(238,1)}
       188:{2,5,6,7}:{(150,1),(152,1),(156,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(153,1),(157,1),(224,1),(306,1)}
       190:{1,5,7}:{(151,1),(152,1),(154,1)}
       191:{2,4,5,7}:{(152,1),(153,1),(155,1),(216,1),(224,1),(225,1),(226,1),(269,1),(277,1)}
       192:{1,4,5,6}:{(154,1),(155,1),(162,1),(218,1),(225,1),(227,1),(228,1)}
       193:{3,5,6}:{(155,1),(163,1),(219,1),(226,1),(229,1),(271,1)}
       194:{1,5,6}:{(156,1),(158,1),(228,1)}
       195:{2,4,6}:{(156,1),(157,1),(159,1),(228,1),(229,1),(279,1)}
       196:{1,4,5,7}:{(158,1),(159,1),(162,1),(165,1),(228,1),(230,1)}
       197:{3,5,7}:{(159,1),(163,1),(166,1),(229,1)}
       198:{1,3,5}:{(160,1),(161,1),(169,1),(220,1),(231,1)}
       199:{1,2,4,5}:{(161,1),(162,1),(167,1),(170,1),(221,1),(231,1),(232,1),(233,1),(240,1),(275,1),(281,1),(286,1),(305,1),(307,1)}
       200:{1,3,5}:{(162,1),(163,1),(168,1),(233,1)}
       201:{1,2,4,7}:{(164,1),(165,1),(167,1),(172,1),(234,1),(235,1),(242,1),(269,1),(287,1),(302,1),(313,1)}
       202:{1,3,4,7}:{(165,1),(166,1),(168,1),(230,1),(234,1),(235,1)}
       203:{1,3,6}:{(167,1),(174,1),(232,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(233,1),(235,1),(236,1),(237,1),(279,1),(281,1)}
       205:{2,4}:{(169,1),(231,1),(238,1)}
       206:{3,5}:{(170,1),(174,1),(238,1)}
       207:{2,4,5}:{(171,1),(175,1),(233,1),(239,1),(240,1),(281,1),(286,1)}
       208:{3,7}:{(172,1),(174,1)}
       209:{2,4,7}:{(173,1),(175,1),(177,1),(241,1),(242,1),(287,1)}
       210:{2,3,6}:{(174,1),(175,1),(239,1),(241,1),(243,1)}
       211:{1,4,6}:{(175,1),(178,1),(240,1),(242,1),(243,1)}
       212:{2,6,7}:{(176,1),(177,1),(244,1),(279,1)}
       213:{1,5,7}:{(177,1),(178,1),(242,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(190,1),(245,1),(246,1),(288,1),(295,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(193,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(198,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(200,1),(249,1),(251,1),(252,1),(259,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(194,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(195,1),(253,1),(254,1),(294,1)}
       225:{1,4,5,7}:{(190,1),(191,1),(192,1),(246,1),(253,1),(255,1)}
       226:{3,5,7}:{(191,1),(193,1),(247,1),(254,1),(288,1)}
       227:{1,3,5,6}:{(192,1),(193,1),(200,1),(249,1),(255,1),(256,1),(257,1)}
       228:{1,4,6}:{(194,1),(195,1),(196,1),(257,1)}
       229:{3,6}:{(195,1),(197,1)}
       230:{1,3,5,7}:{(196,1),(197,1),(200,1),(202,1),(257,1),(258,1)}
       231:{1,4}:{(198,1),(205,1),(250,1)}
       232:{1,3,5}:{(199,1),(203,1),(206,1),(251,1),(259,1),(260,1),(312,1)}
       233:{2,5}:{(200,1),(204,1),(261,1)}
       234:{1,3,7}:{(201,1),(203,1),(208,1),(262,1),(288,1)}
       235:{2,4,7}:{(202,1),(204,1),(258,1),(262,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(260,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(261,1),(263,1),(264,1),(296,1),(297,1)}
       238:{3,4}:{(205,1),(206,1)}
       239:{2,3,5}:{(206,1),(207,1),(210,1),(265,1),(266,1)}
       240:{1,4,5}:{(207,1),(211,1),(261,1),(266,1),(297,1)}
       241:{2,3,7}:{(208,1),(209,1),(210,1),(267,1)}
       242:{1,4,7}:{(209,1),(211,1),(213,1),(267,1)}
       243:{1,3,6}:{(210,1),(211,1),(266,1),(267,1),(268,1)}
       244:{1,6,7}:{(212,1),(213,1),(296,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(226,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(227,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(231,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(233,1),(272,1),(274,1),(275,1),(281,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(228,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(229,1)}
       255:{1,3,5,7}:{(225,1),(226,1),(227,1),(270,1),(276,1),(277,1)}
       256:{2,5,6}:{(227,1),(233,1),(272,1),(277,1),(278,1),(279,1)}
       257:{1,3,6}:{(228,1),(229,1),(230,1),(279,1)}
       258:{2,5,7}:{(230,1),(233,1),(235,1),(279,1),(280,1)}
       259:{1,3,4}:{(231,1),(232,1),(238,1),(273,1),(281,1)}
       260:{2,3,5}:{(232,1),(233,1),(236,1),(281,1),(282,1),(286,1),(305,1),(308,1),(314,1)}
       261:{1,5}:{(233,1),(237,1)}
       262:{2,3,7}:{(234,1),(235,1),(236,1),(283,1),(287,1),(313,1)}
       263:{1,4,7}:{(235,1),(237,1),(280,1),(283,1)}
       264:{1,3,6}:{(236,1),(237,1),(282,1),(283,1),(284,1)}
       265:{2,3,4}:{(238,1),(239,1),(281,1),(285,1),(314,1)}
       266:{1,3,5}:{(239,1),(240,1),(243,1),(285,1),(286,1)}
       267:{1,3,7}:{(241,1),(242,1),(243,1),(287,1)}
       268:{2,6}:{(243,1),(286,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(255,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(256,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(261,1),(291,1),(293,1),(297,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(257,1),(294,1)}
       277:{2,5,7}:{(255,1),(256,1),(289,1),(294,1),(295,1)}
       278:{1,5,6}:{(256,1),(261,1),(291,1),(295,1),(296,1)}
       279:{2,6}:{(257,1),(258,1),(296,1)}
       280:{1,5,7}:{(258,1),(261,1),(263,1),(296,1)}
       281:{2,4}:{(259,1),(260,1),(297,1)}
       282:{1,3,5}:{(260,1),(261,1),(264,1),(297,1),(298,1),(312,1)}
       283:{1,3,7}:{(262,1),(263,1),(264,1),(299,1)}
       284:{1,2,6}:{(264,1),(268,1),(298,1),(299,1),(310,1)}
       285:{1,3,4}:{(265,1),(266,1),(297,1),(300,1),(312,1)}
       286:{2,5}:{(266,1),(268,1),(300,1)}
       287:{2,7}:{(267,1),(268,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(277,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(278,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(281,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(279,1),(306,1)}
       295:{1,5,7}:{(277,1),(278,1),(302,1),(306,1)}
       296:{1,6}:{(279,1),(280,1)}
       297:{1,4}:{(281,1),(282,1)}
       298:{1,2,5}:{(282,1),(284,1),(286,1),(305,1),(307,1)}
       299:{1,2,7}:{(283,1),(284,1),(287,1),(313,1)}
       300:{2,4}:{(285,1),(286,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(295,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(297,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(296,1)}
       307:{1,2,4}:{(297,1),(298,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1215 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1216 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1217 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1218 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(5,1),(6,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(75,1),(122,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(11,1)}
         4:{4,5,6,7}:{(12,1),(123,1)}
         5:{3,4,6,7}:{(1,1),(12,1),(13,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(92,1),(116,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(15,1),(60,1),(118,1)}
         8:{2,3,4,5}:{(9,1),(16,1),(67,1),(93,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(17,1),(18,1),(69,1),(75,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(19,1),(20,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(20,1),(21,1),(25,1)}
        12:{3,5,6,7}:{(4,1),(5,1),(22,1),(120,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(20,1),(23,1),(24,1),(77,1),(108,1)}
        15:{2,4,5,6}:{(7,1),(21,1),(24,1),(25,1),(46,1),(110,1),(111,1)}
        16:{1,3,4,5}:{(8,1),(18,1),(26,1),(50,1),(51,1),(78,1)}
        17:{2,3,4,7}:{(9,1),(10,1),(27,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(11,1),(16,1),(27,1),(28,1),(36,1),(54,1),(60,1)}
        19:{2,3,6,7}:{(10,1),(13,1),(30,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(35,1)}
        21:{2,5,6}:{(11,1),(28,1),(31,1)}
        22:{2,5,6,7}:{(12,1),(13,1),(33,1),(116,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(30,1),(33,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(15,1),(31,1),(34,1),(35,1),(62,1),(96,1),(98,1)}
        25:{3,5,6}:{(15,1),(35,1),(36,1)}
        26:{2,4,5}:{(16,1),(28,1),(38,1)}
        27:{1,3,4,7}:{(17,1),(18,1),(20,1),(40,1),(49,1),(70,1),(77,1)}
        28:{2,4,6}:{(18,1),(21,1),(26,1),(40,1),(41,1)}
        29:{1,2,5,6}:{(21,1),(39,1),(42,1),(43,1),(101,1),(119,1)}
        30:{1,3,6,7}:{(19,1),(20,1),(23,1),(44,1),(48,1)}
        31:{2,5,7}:{(20,1),(21,1),(40,1),(44,1)}
        32:{2,3,5,6}:{(21,1),(25,1),(41,1),(43,1),(45,1),(46,1),(73,1),(103,1),(110,1)}
        33:{1,5,6,7}:{(22,1),(23,1),(47,1),(108,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(44,1),(47,1),(48,1),(81,1)}
        35:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        36:{3,4,6}:{(25,1),(46,1),(49,1),(50,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(78,1),(84,1),(101,1)}
        38:{2,3,5}:{(26,1),(41,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(28,1),(29,1),(37,1),(53,1),(54,1),(60,1),(86,1)}
        40:{2,4,7}:{(27,1),(28,1),(31,1),(55,1)}
        41:{2,3,6}:{(28,1),(38,1),(54,1),(55,1)}
        42:{1,2,5,7}:{(29,1),(31,1),(53,1),(58,1),(59,1),(112,1)}
        43:{1,3,5,6}:{(29,1),(32,1),(54,1),(57,1),(59,1),(60,1),(88,1),(113,1),(118,1)}
        44:{2,6,7}:{(30,1),(31,1)}
        45:{2,3,5,7}:{(31,1),(32,1),(35,1),(55,1),(59,1),(61,1),(62,1),(96,1)}
        46:{2,4,6}:{(32,1),(36,1),(60,1),(62,1),(63,1)}
        47:{2,5,6,7}:{(33,1),(34,1),(64,1),(96,1)}
        48:{3,6,7}:{(34,1),(35,1)}
        49:{3,4,7}:{(35,1),(36,1),(62,1)}
        50:{3,4,5}:{(36,1),(63,1)}
        51:{1,3,5}:{(37,1),(38,1),(54,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(42,1),(70,1),(77,1),(100,1)}
        54:{1,3,6}:{(39,1),(41,1),(51,1),(69,1),(70,1)}
        55:{2,3,7}:{(40,1),(41,1),(70,1)}
        56:{2,3,4,6}:{(41,1),(46,1),(52,1),(71,1),(72,1),(73,1),(103,1)}
        57:{2,3,5,6}:{(43,1),(69,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        58:{1,2,6,7}:{(42,1),(44,1),(76,1),(119,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(70,1),(74,1),(76,1),(77,1),(108,1)}
        60:{1,4,6}:{(43,1),(46,1),(75,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(79,1),(103,1)}
        62:{2,4,7}:{(45,1),(46,1),(49,1),(77,1)}
        63:{2,4,5}:{(46,1),(50,1),(73,1),(78,1)}
        64:{3,5,6,7}:{(47,1),(48,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(79,1),(81,1),(82,1),(83,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(101,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(54,1),(67,1),(85,1),(86,1)}
        70:{1,3,7}:{(53,1),(54,1),(55,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(60,1),(68,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        72:{2,3,4,7}:{(55,1),(56,1),(62,1),(87,1),(89,1)}
        73:{2,3,5}:{(56,1),(63,1),(88,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        75:{2,4,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        76:{1,3,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(113,1)}
        77:{1,4,7}:{(59,1),(60,1),(62,1),(92,1)}
        78:{1,4,5}:{(60,1),(63,1),(88,1),(93,1)}
        79:{2,4,6,7}:{(61,1),(62,1),(65,1),(94,1),(96,1),(97,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(66,1),(89,1),(95,1),(96,1),(97,1)}
        81:{4,6,7}:{(64,1),(98,1)}
        82:{3,5,7}:{(65,1),(96,1),(98,1),(99,1)}
        83:{3,4,6}:{(66,1),(97,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,3,7}:{(69,1),(70,1),(100,1)}
        86:{2,4,6}:{(69,1),(71,1),(84,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(70,1),(71,1),(72,1),(77,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(71,1),(73,1),(78,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(74,1),(76,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(104,1)}
        93:{2,4,5}:{(75,1),(78,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(79,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(79,1),(82,1),(108,1),(110,1)}
        97:{2,4,6}:{(80,1),(83,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(81,1),(82,1),(111,1)}
        99:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1219 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(101,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(105,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(86,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(91,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(16,1),(17,1),(97,1),(101,1)}
        10:{2,3,6,7}:{(6,1),(16,1),(18,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(17,1),(18,1),(19,1)}
        12:{2,5,6,7}:{(7,1),(19,1),(20,1),(70,1)}
        13:{2,3,5,6}:{(8,1),(16,1),(21,1),(22,1)}
        14:{1,4,5,6}:{(8,1),(17,1),(22,1),(23,1),(75,1),(102,1)}
        15:{2,3,4,5}:{(21,1),(24,1),(77,1),(106,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(13,1),(25,1),(26,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(14,1),(26,1),(27,1),(82,1),(86,1)}
        18:{1,3,6,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(30,1)}
        20:{3,5,6,7}:{(12,1),(29,1),(30,1),(54,1)}
        21:{2,3,4,6}:{(13,1),(15,1),(25,1),(31,1),(88,1),(91,1)}
        22:{1,3,5,6}:{(13,1),(14,1),(26,1),(31,1),(32,1),(33,1)}
        23:{2,4,5,6}:{(14,1),(27,1),(32,1),(33,1),(55,1),(59,1),(87,1)}
        24:{1,3,4,5}:{(15,1),(31,1),(34,1),(60,1),(61,1),(92,1)}
        25:{2,3,4,7}:{(16,1),(21,1),(35,1),(94,1),(97,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(18,1),(22,1),(35,1),(36,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(19,1),(23,1),(36,1),(37,1),(41,1),(66,1),(70,1)}
        28:{2,6,7}:{(18,1),(36,1)}
        29:{3,6,7}:{(19,1),(37,1)}
        30:{4,6,7}:{(20,1),(41,1)}
        31:{1,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(42,1),(45,1),(72,1),(75,1)}
        32:{2,5,6}:{(22,1),(36,1),(42,1)}
        33:{3,5,6}:{(23,1),(37,1),(45,1)}
        34:{2,4,5}:{(24,1),(42,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(31,1),(48,1),(51,1),(79,1),(82,1)}
        36:{2,5,7}:{(26,1),(28,1),(32,1),(48,1)}
        37:{3,5,7}:{(27,1),(29,1),(33,1),(51,1)}
        38:{1,2,6,7}:{(28,1),(49,1),(52,1),(123,1)}
        39:{2,3,6,7}:{(28,1),(29,1),(50,1),(52,1),(53,1),(109,1)}
        40:{3,4,6,7}:{(29,1),(30,1),(51,1),(53,1),(54,1),(84,1)}
        41:{4,5,7}:{(30,1),(54,1),(55,1)}
        42:{2,4,6}:{(31,1),(32,1),(34,1),(48,1),(57,1)}
        43:{1,2,5,6}:{(32,1),(49,1),(56,1),(58,1),(115,1),(123,1)}
        44:{2,3,5,6}:{(32,1),(33,1),(50,1),(57,1),(58,1),(59,1),(87,1),(90,1),(109,1)}
        45:{3,4,6}:{(33,1),(51,1),(59,1),(60,1)}
        46:{1,2,4,5}:{(34,1),(56,1),(61,1),(92,1),(93,1),(115,1)}
        47:{2,3,5}:{(34,1),(57,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(42,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(43,1),(63,1),(65,1),(117,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(44,1),(64,1),(65,1),(66,1),(70,1)}
        51:{3,4,7}:{(37,1),(45,1),(66,1)}
        52:{1,3,6,7}:{(38,1),(39,1),(65,1),(68,1),(69,1),(118,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(66,1),(69,1),(70,1),(99,1)}
        54:{3,5,7}:{(40,1),(41,1),(70,1),(71,1)}
        55:{4,5,6}:{(41,1),(71,1)}
        56:{1,2,4,6}:{(42,1),(43,1),(46,1),(63,1),(72,1),(75,1),(103,1)}
        57:{2,3,6}:{(42,1),(47,1),(64,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(65,1),(72,1),(74,1),(75,1),(102,1),(104,1),(118,1)}
        59:{2,4,6}:{(44,1),(45,1),(66,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,5}:{(46,1),(47,1),(72,1),(77,1),(78,1)}
        62:{2,3,4}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(56,1),(79,1),(82,1),(107,1)}
        64:{2,3,7}:{(48,1),(57,1),(79,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(86,1)}
        66:{2,4,7}:{(50,1),(51,1),(59,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(60,1),(83,1),(84,1)}
        68:{2,3,6,7}:{(52,1),(81,1),(85,1),(123,1),(124,1)}
        69:{1,4,6,7}:{(52,1),(53,1),(82,1),(85,1),(86,1),(112,1)}
        70:{2,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        71:{3,5,6}:{(54,1),(55,1),(84,1),(87,1)}
        72:{1,3,6}:{(56,1),(57,1),(61,1),(79,1),(88,1)}
        73:{2,3,4,6}:{(57,1),(59,1),(62,1),(80,1),(89,1),(90,1),(109,1)}
        74:{2,3,5,6}:{(58,1),(81,1),(88,1),(91,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        75:{1,4,6}:{(58,1),(59,1),(82,1),(91,1),(92,1)}
        76:{2,4,5}:{(59,1),(60,1),(90,1),(92,1)}
        77:{2,3,5}:{(61,1),(88,1),(93,1),(115,1)}
        78:{1,3,4}:{(61,1),(62,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(72,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(73,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(74,1),(94,1),(97,1),(101,1),(117,1),(119,1)}
        82:{1,4,7}:{(65,1),(66,1),(75,1),(97,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(76,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(67,1),(71,1),(99,1)}
        85:{2,4,6,7}:{(68,1),(69,1),(97,1),(100,1),(101,1),(120,1)}
        86:{1,5,7}:{(69,1),(70,1),(101,1),(102,1)}
        87:{2,5,6}:{(70,1),(71,1),(99,1),(102,1)}
        88:{2,3,6}:{(72,1),(77,1),(94,1),(103,1)}
        89:{1,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(95,1),(103,1),(104,1),(105,1),(118,1)}
        90:{2,3,5}:{(73,1),(76,1),(104,1)}
        91:{2,4,6}:{(74,1),(75,1),(97,1),(105,1),(106,1)}
        92:{1,4,5}:{(75,1),(76,1),(104,1),(106,1)}
        93:{2,4}:{(77,1),(78,1)}
        94:{2,3,7}:{(79,1),(88,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(89,1),(107,1),(108,1),(110,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(90,1),(108,1),(109,1)}
        97:{2,4,7}:{(81,1),(82,1),(91,1),(110,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(86,1),(92,1),(108,1),(111,1),(112,1)}
        99:{2,4,6}:{(83,1),(84,1),(87,1),(109,1),(112,1)}
       100:{3,4,6,7}:{(85,1),(110,1),(113,1),(124,1),(125,1)}
       101:{2,5,7}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,5,6}:{(86,1),(87,1),(112,1),(114,1)}
       103:{2,4,6}:{(88,1),(89,1),(93,1),(107,1),(115,1),(123,1)}
       104:{1,3,5}:{(89,1),(90,1),(92,1),(115,1),(116,1)}
       105:{3,4,6}:{(91,1),(110,1),(116,1),(124,1)}
       106:{2,4,5}:{(91,1),(92,1),(115,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(103,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(104,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(99,1),(118,1)}
       110:{3,4,7}:{(97,1),(105,1),(119,1)}
       111:{2,4,5,7}:{(97,1),(98,1),(101,1),(106,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(98,1),(99,1),(102,1),(118,1),(120,1)}
       113:{3,5,7}:{(100,1),(101,1),(121,1),(122,1)}
       114:{2,5,6}:{(101,1),(102,1),(120,1),(122,1)}
       115:{2,5}:{(103,1),(104,1)}
       116:{3,5}:{(105,1),(106,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1220 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1221 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(30,1),(31,1),(69,1),(72,1),(83,1),(88,1),(122,1),(129,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(21,1),(54,1),(59,1),(63,1),(93,1),(99,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(46,1),(91,1),(150,1),(158,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(129,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(119,1),(128,1),(185,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(72,1),(121,1)}
         7:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(46,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(4,1),(17,1),(18,1),(49,1),(52,1),(54,1),(93,1),(148,1),(159,1),(160,1),(164,1),(194,1),(209,1),(233,1),(241,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(24,1),(59,1),(100,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(158,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(54,1),(98,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(46,1),(97,1),(150,1)}
        15:{1,3,5,6,7}:{(7,1),(9,1),(28,1),(29,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(10,1),(27,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(31,1),(34,1),(74,1),(130,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(12,1),(32,1),(34,1),(71,1),(119,1),(173,1),(185,1),(223,1),(239,1)}
        19:{2,4,5,6}:{(10,1),(27,1),(36,1),(37,1),(80,1),(121,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(33,1),(41,1),(42,1),(82,1),(86,1),(126,1),(129,1),(144,1),(180,1),(187,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(34,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(67,1),(77,1),(89,1),(117,1),(128,1),(136,1),(172,1),(190,1),(213,1),(225,1)}
        27:{2,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(91,1),(194,1)}
        28:{2,5,6,7}:{(15,1),(20,1),(47,1),(91,1),(148,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(21,1),(45,1),(47,1)}
        30:{3,4,6,7}:{(16,1),(22,1),(46,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(100,1),(148,1),(153,1),(204,1)}
        32:{1,2,5,6}:{(18,1),(20,1),(51,1),(52,1),(95,1),(108,1),(158,1),(160,1),(167,1),(206,1),(207,1),(231,1)}
        33:{1,3,4,6,7}:{(17,1),(23,1),(49,1),(53,1),(54,1),(97,1),(99,1),(102,1),(153,1),(155,1),(159,1),(202,1),(209,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(24,1),(50,1),(51,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(25,1),(52,1),(54,1),(55,1),(65,1),(96,1),(98,1),(104,1),(116,1),(158,1),(163,1),(164,1),(194,1),(203,1),(207,1),(210,1),(229,1),(234,1),(241,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(45,1),(56,1),(57,1),(98,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(46,1),(150,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(51,1),(58,1),(59,1),(100,1),(110,1),(158,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(53,1),(61,1),(62,1),(110,1),(158,1),(168,1),(205,1)}
        42:{2,4,7}:{(24,1),(54,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(91,1),(104,1),(116,1),(146,1),(158,1),(165,1),(194,1),(210,1)}
        45:{1,4,5,7}:{(27,1),(29,1),(36,1),(66,1),(67,1),(119,1),(172,1)}
        46:{3,5,7}:{(27,1),(30,1),(37,1),(213,1)}
        47:{2,4,6,7}:{(28,1),(29,1),(39,1),(66,1),(68,1)}
        48:{1,3,4,6,7}:{(29,1),(30,1),(40,1),(67,1),(68,1),(69,1),(117,1),(120,1),(172,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(33,1),(71,1),(72,1),(124,1),(129,1),(182,1),(222,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(70,1),(71,1),(72,1),(125,1),(173,1),(213,1)}
        51:{1,3,5,6}:{(32,1),(34,1),(38,1),(70,1),(73,1),(74,1),(128,1),(130,1),(185,1),(224,1)}
        52:{1,2,4,6}:{(32,1),(35,1),(39,1),(73,1),(74,1),(84,1),(124,1),(129,1),(143,1),(188,1),(191,1),(222,1),(237,1)}
        53:{1,3,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(125,1),(128,1),(185,1),(223,1)}
        54:{1,4,7}:{(34,1),(42,1),(72,1),(73,1)}
        55:{1,3,5,7}:{(35,1),(43,1),(74,1),(77,1),(78,1),(125,1),(128,1),(189,1),(213,1),(224,1),(225,1),(238,1),(244,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(66,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(67,1),(79,1),(80,1),(128,1)}
        58:{2,4,6}:{(38,1),(42,1),(73,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(75,1),(86,1),(140,1),(180,1),(184,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(76,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(213,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(119,1),(134,1),(172,1),(185,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(47,1),(56,1),(90,1),(91,1),(146,1)}
        67:{1,3,5,7}:{(45,1),(46,1),(48,1),(57,1),(90,1),(91,1)}
        68:{3,6,7}:{(47,1),(59,1),(90,1)}
        69:{2,4,6,7}:{(48,1),(60,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,3,5,6}:{(50,1),(51,1),(94,1),(95,1),(100,1),(150,1),(153,1),(158,1),(167,1),(211,1),(212,1)}
        71:{2,5,7}:{(49,1),(53,1),(95,1),(158,1)}
        72:{2,4,7}:{(50,1),(54,1),(94,1),(97,1)}
        73:{1,4,6}:{(51,1),(54,1),(58,1),(94,1),(98,1),(234,1)}
        74:{1,3,6}:{(52,1),(55,1),(59,1),(100,1),(153,1),(211,1),(242,1)}
        75:{1,3,5,6}:{(53,1),(61,1),(95,1),(102,1),(153,1),(202,1),(206,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(62,1),(96,1),(98,1),(102,1)}
        77:{1,3,4,7}:{(54,1),(55,1),(63,1),(97,1),(99,1),(104,1),(234,1),(235,1),(243,1)}
        78:{2,3,5,7}:{(55,1),(100,1),(104,1),(105,1),(116,1),(158,1),(171,1),(203,1),(204,1),(212,1),(232,1)}
        79:{3,5,6}:{(56,1),(59,1),(90,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(91,1),(108,1),(158,1)}
        81:{2,4,5}:{(58,1),(98,1),(110,1),(158,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(101,1),(113,1),(168,1),(201,1),(205,1)}
        86:{2,4,6}:{(61,1),(62,1),(102,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(104,1),(111,1),(115,1),(146,1),(204,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{3,5,7}:{(66,1),(68,1),(79,1),(117,1)}
        91:{2,5,7}:{(67,1),(69,1),(80,1),(119,1)}
        92:{2,3,6,7}:{(68,1),(69,1),(83,1),(118,1),(120,1),(213,1)}
        93:{1,4,6,7}:{(69,1),(84,1),(119,1),(120,1),(172,1)}
        94:{2,4,6}:{(70,1),(72,1),(73,1),(121,1),(122,1),(226,1)}
        95:{2,5,6}:{(71,1),(75,1),(124,1),(222,1)}
        96:{2,4,5,7}:{(71,1),(72,1),(76,1),(121,1),(124,1),(125,1)}
        97:{3,4,7}:{(72,1),(122,1),(125,1),(213,1)}
        98:{1,4,5}:{(73,1),(81,1),(121,1),(128,1),(185,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(77,1),(82,1),(122,1),(128,1),(129,1)}
       100:{2,3,6}:{(74,1),(78,1),(129,1),(130,1),(143,1),(222,1)}
       101:{1,3,5,6,7}:{(75,1),(85,1),(123,1),(131,1),(179,1),(183,1),(221,1),(223,1)}
       102:{1,4,6}:{(75,1),(76,1),(86,1),(124,1)}
       103:{1,3,4,5,7}:{(76,1),(77,1),(87,1),(125,1),(128,1),(132,1),(133,1),(174,1),(181,1),(183,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       104:{2,4,7}:{(77,1),(78,1),(129,1),(134,1),(226,1),(240,1)}
       105:{1,3,5,7}:{(78,1),(130,1),(134,1),(135,1),(185,1),(189,1),(224,1)}
       106:{3,4,6}:{(79,1),(117,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(118,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(119,1),(185,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(127,1),(139,1),(140,1),(184,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(129,1),(137,1),(141,1),(142,1),(220,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(131,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(134,1),(142,1),(145,1),(172,1),(189,1),(213,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{3,4,7}:{(90,1),(106,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(107,1),(146,1),(147,1)}
       119:{1,5,7}:{(91,1),(93,1),(108,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(112,1),(147,1),(148,1)}
       121:{2,4,5}:{(94,1),(98,1),(150,1),(158,1)}
       122:{3,4,6}:{(94,1),(97,1),(150,1),(153,1),(211,1),(235,1)}
       123:{2,5,6,7}:{(95,1),(101,1),(152,1),(205,1),(233,1)}
       124:{2,4,6}:{(95,1),(96,1),(102,1),(153,1)}
       125:{3,5,7}:{(96,1),(97,1),(150,1),(153,1)}
       126:{2,3,4,7}:{(97,1),(104,1),(151,1),(154,1),(155,1),(171,1),(227,1),(243,1)}
       127:{1,4,5,6}:{(98,1),(102,1),(109,1),(149,1),(156,1),(157,1),(206,1),(228,1)}
       128:{1,3,5}:{(98,1),(99,1),(110,1),(150,1),(158,1)}
       129:{2,4,6}:{(99,1),(100,1),(104,1),(158,1),(159,1)}
       130:{1,3,6}:{(100,1),(105,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(113,1),(152,1),(156,1)}
       132:{1,3,4,6}:{(102,1),(103,1),(114,1),(153,1),(157,1),(162,1),(195,1),(202,1),(228,1),(242,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(154,1),(158,1),(162,1),(163,1),(196,1),(203,1),(205,1),(227,1),(229,1),(241,1)}
       134:{1,4,7}:{(104,1),(105,1),(159,1),(234,1)}
       135:{1,2,5,7}:{(105,1),(116,1),(160,1),(164,1),(203,1),(207,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(146,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(147,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(156,1),(168,1),(205,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(158,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(159,1),(166,1),(169,1),(170,1),(208,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,7}:{(117,1),(118,1),(137,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(138,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(120,1),(143,1),(173,1)}
       149:{2,4,5,6}:{(121,1),(124,1),(127,1),(175,1),(176,1),(184,1),(215,1)}
       150:{3,5}:{(121,1),(122,1)}
       151:{2,3,4,6}:{(122,1),(126,1),(129,1),(177,1),(178,1),(180,1),(193,1),(215,1),(226,1)}
       152:{2,4,6,7}:{(123,1),(124,1),(131,1),(175,1),(179,1)}
       153:{3,6}:{(124,1),(125,1)}
       154:{2,3,5,7}:{(125,1),(126,1),(133,1),(177,1),(180,1),(181,1),(238,1),(244,1)}
       155:{1,3,4,7}:{(126,1),(134,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(131,1),(139,1),(175,1),(183,1),(223,1),(236,1)}
       157:{1,3,5,6}:{(127,1),(128,1),(132,1),(140,1),(176,1),(183,1),(184,1)}
       158:{2,5}:{(128,1),(129,1),(185,1)}
       159:{1,4,6}:{(129,1),(130,1),(134,1),(185,1)}
       160:{1,2,6}:{(130,1),(135,1),(143,1),(222,1)}
       161:{1,3,4,6,7}:{(131,1),(132,1),(144,1),(179,1),(183,1),(187,1),(214,1),(221,1),(236,1),(244,1)}
       162:{2,4,6}:{(132,1),(133,1),(180,1),(184,1),(188,1),(222,1)}
       163:{1,4,5,7}:{(133,1),(134,1),(181,1),(185,1),(188,1),(216,1),(223,1),(236,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(145,1),(182,1),(186,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(172,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(173,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(185,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(189,1),(193,1),(213,1)}
       172:{1,4,7}:{(146,1),(147,1),(166,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(167,1),(194,1)}
       174:{3,4,5}:{(150,1),(195,1),(196,1),(235,1)}
       175:{2,4,5,7}:{(149,1),(152,1),(156,1),(197,1),(205,1),(227,1)}
       176:{3,5,6}:{(149,1),(150,1),(153,1),(195,1),(197,1)}
       177:{2,3,5}:{(150,1),(151,1),(158,1),(196,1),(199,1)}
       178:{1,3,4,6}:{(151,1),(155,1),(159,1),(199,1),(200,1),(202,1),(208,1),(228,1),(234,1),(242,1),(243,1)}
       179:{3,6,7}:{(152,1),(153,1),(197,1)}
       180:{2,3,6}:{(153,1),(154,1),(162,1),(202,1),(242,1)}
       181:{1,3,5,7}:{(154,1),(155,1),(163,1),(199,1),(202,1),(203,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(161,1),(168,1),(197,1),(205,1)}
       184:{2,5,6}:{(157,1),(158,1),(162,1),(205,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(164,1),(170,1),(200,1),(207,1),(208,1),(234,1)}
       187:{2,4,6,7}:{(161,1),(162,1),(201,1),(205,1),(209,1),(227,1),(233,1),(241,1)}
       188:{1,4,6}:{(162,1),(163,1),(202,1),(206,1)}
       189:{1,3,7}:{(164,1),(171,1),(204,1),(208,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(194,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(208,1),(211,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(191,1),(213,1)}
       195:{3,4,6}:{(174,1),(176,1),(214,1),(215,1)}
       196:{2,4,5}:{(174,1),(177,1),(215,1),(216,1),(226,1)}
       197:{3,5,7}:{(175,1),(176,1),(179,1),(214,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(184,1),(215,1),(217,1),(218,1)}
       199:{1,3,5}:{(177,1),(178,1),(185,1),(216,1),(219,1),(238,1)}
       200:{2,4,6}:{(178,1),(182,1),(219,1),(220,1),(222,1),(240,1)}
       201:{2,3,6,7}:{(179,1),(180,1),(187,1),(217,1),(221,1),(244,1)}
       202:{1,3,6}:{(180,1),(181,1),(188,1),(222,1)}
       203:{2,5,7}:{(181,1),(182,1),(219,1),(222,1)}
       204:{2,3,7}:{(182,1),(189,1),(220,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(187,1),(223,1)}
       206:{1,5,6}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,2,5}:{(185,1),(186,1),(192,1),(219,1),(224,1)}
       208:{1,3,6}:{(186,1),(189,1),(193,1),(220,1),(224,1)}
       209:{1,4,6,7}:{(187,1),(188,1),(221,1),(223,1),(236,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(213,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,7}:{(194,1),(211,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(227,1),(228,1)}
       216:{1,4,5}:{(196,1),(199,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(197,1),(198,1),(201,1),(205,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(199,1),(200,1)}
       220:{2,3,6}:{(200,1),(204,1),(208,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(201,1),(202,1),(209,1),(230,1),(233,1)}
       222:{2,6}:{(202,1),(203,1)}
       223:{1,5,7}:{(205,1),(206,1),(209,1)}
       224:{1,3,5}:{(207,1),(208,1),(212,1),(232,1),(234,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1222 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1223 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(13,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(25,1),(29,1),(54,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(54,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(13,1),(15,1),(31,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(12,1),(16,1),(17,1),(69,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(39,1),(114,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(47,1),(54,1),(58,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(19,1),(21,1),(22,1),(28,1)}
        13:{1,3,6}:{(6,1),(7,1),(22,1)}
        14:{1,2,4,6,7}:{(7,1),(23,1),(25,1),(45,1),(54,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(24,1),(25,1),(46,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(21,1),(26,1),(27,1),(82,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(22,1),(27,1),(28,1),(53,1),(105,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(43,1),(61,1),(69,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(31,1),(33,1),(39,1),(70,1)}
        21:{1,3,5,7}:{(12,1),(16,1),(30,1),(34,1),(35,1),(42,1)}
        22:{2,3,6}:{(12,1),(13,1),(31,1),(35,1)}
        23:{1,3,6,7}:{(13,1),(14,1),(36,1),(38,1),(123,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(18,1),(37,1),(38,1),(39,1),(112,1),(114,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(38,1),(61,1),(124,1)}
        26:{1,2,4,7}:{(16,1),(34,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(35,1),(41,1),(42,1),(68,1),(94,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(44,1),(57,1),(74,1),(82,1)}
        31:{2,4,6}:{(19,1),(20,1),(22,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(45,1),(47,1),(54,1),(79,1),(84,1),(103,1)}
        33:{1,3,5,6}:{(20,1),(46,1),(47,1),(48,1),(78,1)}
        34:{1,2,5,7}:{(21,1),(26,1),(49,1),(56,1)}
        35:{1,3,6}:{(21,1),(22,1),(44,1),(49,1)}
        36:{2,3,6,7}:{(22,1),(23,1),(45,1),(50,1),(52,1),(103,1),(118,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(28,1),(46,1),(51,1),(52,1),(53,1),(78,1),(102,1),(105,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(52,1),(54,1),(119,1),(120,1)}
        39:{1,4,6}:{(24,1),(29,1),(53,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(49,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
        44:{1,4,6}:{(30,1),(31,1),(35,1),(60,1)}
        45:{2,4,6,7}:{(31,1),(32,1),(36,1),(59,1),(61,1),(69,1)}
        46:{2,5,6}:{(31,1),(33,1),(60,1),(61,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(61,1),(64,1),(92,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,2,6}:{(34,1),(35,1)}
        50:{1,3,6,7}:{(35,1),(36,1),(59,1),(65,1),(67,1)}
        51:{1,3,5,6}:{(35,1),(37,1),(42,1),(60,1),(66,1),(67,1),(68,1),(94,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(38,1),(61,1),(67,1),(69,1),(92,1),(111,1),(113,1)}
        53:{2,4,6}:{(37,1),(39,1),(43,1),(68,1),(69,1),(70,1)}
        54:{1,4,7}:{(38,1),(39,1),(69,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(94,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(68,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(50,1),(74,1),(82,1)}
        60:{1,5,6}:{(44,1),(46,1),(74,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(74,1)}
        62:{2,4,5,6}:{(46,1),(48,1),(53,1),(75,1),(77,1),(78,1),(102,1)}
        63:{1,3,5,6,7}:{(47,1),(76,1),(79,1),(103,1)}
        64:{1,4,5,7}:{(47,1),(48,1),(54,1),(77,1),(79,1),(119,1)}
        65:{1,2,6,7}:{(49,1),(50,1),(80,1),(118,1)}
        66:{1,2,5,6}:{(49,1),(51,1),(56,1),(80,1),(81,1),(102,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(74,1),(80,1),(82,1),(104,1)}
        68:{1,4,6}:{(51,1),(53,1),(57,1),(82,1)}
        69:{2,4,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        70:{3,4,6}:{(53,1),(58,1),(78,1),(84,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(81,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(83,1),(86,1),(87,1)}
        74:{1,5,7}:{(59,1),(60,1),(61,1)}
        75:{1,4,5,6}:{(60,1),(62,1),(68,1),(89,1),(90,1)}
        76:{2,5,6,7}:{(61,1),(63,1),(88,1),(91,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(69,1),(89,1),(91,1),(92,1),(111,1)}
        78:{3,5,6}:{(62,1),(70,1),(92,1)}
        79:{1,4,6,7}:{(63,1),(64,1),(91,1),(123,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(67,1),(93,1),(111,1)}
        81:{1,2,4,6}:{(66,1),(68,1),(72,1),(93,1),(94,1),(96,1)}
        82:{1,4,7}:{(67,1),(68,1),(69,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(73,1),(90,1),(94,1),(95,1),(96,1)}
        84:{3,4,7}:{(69,1),(70,1),(92,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(94,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{1,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(100,1),(101,1)}
        90:{1,3,5,6}:{(75,1),(78,1),(83,1),(101,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(79,1),(100,1),(103,1),(118,1)}
        92:{3,5,7}:{(77,1),(78,1),(84,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(82,1),(104,1),(106,1)}
        94:{1,3,6}:{(81,1),(86,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(82,1),(83,1),(84,1),(101,1),(104,1),(106,1)}
        96:{2,4,6}:{(83,1),(87,1),(102,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(105,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(91,1),(110,1)}
       101:{1,3,5,7}:{(89,1),(90,1),(92,1),(95,1),(110,1),(111,1)}
       102:{2,5,6}:{(90,1),(96,1),(111,1),(112,1)}
       103:{3,6,7}:{(91,1),(92,1)}
       104:{1,3,7}:{(93,1),(94,1),(113,1)}
       105:{2,3,6}:{(94,1),(96,1),(98,1),(113,1),(114,1)}
       106:{2,4,7}:{(95,1),(96,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(114,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(103,1),(118,1)}
       111:{2,5,7}:{(101,1),(102,1),(106,1),(118,1),(119,1)}
       112:{1,5,6}:{(102,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,3,6}:{(105,1),(107,1),(109,1),(120,1),(121,1)}
       115:{1,4,7}:{(106,1),(107,1),(119,1),(120,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(115,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(114,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1224 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(24,1),(26,1),(64,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(19,1),(24,1),(32,1),(53,1),(61,1),(64,1),(101,1)}
         2:{1,3,6}:{(0,1),(9,1),(10,1),(11,1),(108,1)}
         3:{1,2,5}:{(0,1),(10,1),(14,1),(84,1),(143,1)}
         4:{1,2,4,7}:{(0,1),(11,1),(12,1),(15,1),(43,1),(177,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(41,1),(49,1)}
         6:{1,3,5}:{(1,1),(14,1),(16,1),(47,1),(84,1),(120,1)}
         7:{1,3,4,7}:{(1,1),(11,1),(15,1),(17,1),(36,1),(43,1),(74,1),(82,1),(178,1)}
         8:{1,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(32,1),(53,1),(70,1),(107,1)}
         9:{2,3,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(53,1),(90,1)}
        10:{1,3,5}:{(2,1),(3,1),(22,1),(24,1),(103,1),(129,1)}
        11:{1,3,7}:{(2,1),(4,1),(23,1),(125,1),(182,1)}
        12:{1,2,5,7}:{(3,1),(4,1),(25,1),(26,1),(30,1),(154,1),(171,1)}
        13:{1,4,6}:{(5,1),(21,1),(27,1),(28,1),(59,1),(67,1)}
        14:{2,5}:{(5,1),(6,1),(27,1)}
        15:{2,4,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(183,1)}
        16:{1,4,5}:{(6,1),(19,1),(24,1),(29,1),(103,1),(136,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(68,1),(170,1),(174,1)}
        18:{2,5,6}:{(8,1),(14,1),(33,1),(34,1),(35,1),(49,1)}
        19:{1,4,6}:{(8,1),(16,1),(34,1),(36,1),(108,1),(124,1)}
        20:{1,3,5,7}:{(8,1),(35,1),(36,1),(37,1),(74,1),(76,1),(112,1)}
        21:{1,3,6}:{(9,1),(13,1),(38,1),(39,1),(40,1)}
        22:{2,3,5}:{(9,1),(10,1),(14,1),(39,1),(41,1),(47,1),(85,1),(113,1)}
        23:{2,3,7}:{(9,1),(11,1),(15,1),(40,1),(74,1),(109,1),(185,1)}
        24:{1,4}:{(10,1),(41,1)}
        25:{1,3,5,7}:{(10,1),(11,1),(12,1),(42,1),(43,1),(44,1),(84,1),(121,1),(144,1),(165,1)}
        26:{1,2,6}:{(12,1),(44,1),(49,1)}
        27:{1,5}:{(13,1),(14,1)}
        28:{1,4,7}:{(13,1),(15,1),(40,1),(46,1),(186,1)}
        29:{2,4,5}:{(14,1),(16,1),(34,1),(41,1),(45,1),(47,1),(85,1)}
        30:{2,5,7}:{(14,1),(15,1),(17,1),(46,1),(49,1),(176,1),(179,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(36,1),(43,1),(48,1),(50,1),(76,1),(84,1),(121,1),(162,1),(167,1)}
        32:{1,3,6}:{(17,1),(49,1),(50,1),(88,1)}
        33:{1,5,6}:{(18,1),(27,1),(51,1),(52,1),(67,1)}
        34:{2,4,6}:{(18,1),(19,1),(29,1),(51,1),(53,1),(54,1),(90,1)}
        35:{2,5,7}:{(18,1),(20,1),(52,1),(54,1),(55,1)}
        36:{1,4,7}:{(19,1),(20,1),(54,1),(125,1),(128,1)}
        37:{1,3,6,7}:{(20,1),(32,1),(55,1),(56,1),(93,1),(170,1)}
        38:{1,2,6}:{(21,1),(57,1),(58,1),(90,1)}
        39:{1,3,5}:{(21,1),(22,1),(27,1),(57,1),(59,1),(95,1)}
        40:{1,3,7}:{(21,1),(23,1),(28,1),(58,1),(187,1)}
        41:{2,4}:{(22,1),(24,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(22,1),(23,1),(25,1),(30,1),(60,1),(62,1),(63,1),(68,1),(102,1),(104,1),(130,1),(156,1)}
        43:{1,4,7}:{(24,1),(25,1),(62,1),(64,1),(172,1)}
        44:{1,3,6}:{(25,1),(26,1),(63,1),(64,1),(137,1)}
        45:{1,4,5}:{(27,1),(29,1),(51,1),(59,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(30,1),(67,1),(181,1),(184,1)}
        47:{3,5}:{(29,1),(53,1),(61,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(31,1),(54,1),(62,1),(66,1),(68,1),(69,1),(94,1),(102,1),(104,1),(128,1),(136,1),(153,1),(159,1)}
        49:{2,6}:{(30,1),(32,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(70,1),(137,1)}
        51:{1,4,6}:{(33,1),(34,1),(45,1),(71,1),(72,1)}
        52:{1,5,7}:{(33,1),(35,1),(72,1),(73,1)}
        53:{3,6}:{(34,1),(47,1),(74,1)}
        54:{2,4,7}:{(34,1),(35,1),(36,1),(72,1),(74,1),(109,1)}
        55:{2,6,7}:{(35,1),(37,1),(49,1),(73,1),(176,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(50,1),(75,1),(76,1),(140,1),(162,1)}
        57:{1,2,5}:{(38,1),(39,1),(77,1),(85,1)}
        58:{1,2,7}:{(38,1),(40,1),(109,1),(188,1)}
        59:{1,4}:{(39,1),(41,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(46,1),(78,1),(80,1),(81,1),(114,1),(119,1),(146,1)}
        61:{3,4}:{(41,1),(47,1)}
        62:{2,4,7}:{(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(166,1)}
        63:{2,3,6}:{(42,1),(44,1),(49,1),(81,1),(83,1),(88,1),(122,1)}
        64:{1,4,6}:{(43,1),(44,1),(83,1),(84,1)}
        65:{1,3,5}:{(45,1),(47,1),(71,1),(79,1),(85,1)}
        66:{1,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(80,1),(86,1),(87,1),(111,1),(119,1),(142,1),(149,1)}
        67:{1,6}:{(46,1),(49,1)}
        68:{3,5,7}:{(47,1),(48,1),(74,1),(82,1),(88,1),(120,1),(163,1),(168,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(87,1),(88,1),(89,1),(122,1),(124,1)}
        70:{1,5,6}:{(50,1),(76,1),(84,1),(89,1)}
        71:{1,3,6}:{(51,1),(53,1),(65,1),(90,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(54,1),(91,1)}
        73:{1,6,7}:{(52,1),(55,1),(67,1),(181,1)}
        74:{3,7}:{(53,1),(54,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(56,1),(69,1),(92,1),(93,1),(94,1),(126,1),(128,1),(153,1)}
        76:{1,5,7}:{(56,1),(70,1),(94,1)}
        77:{1,2,4}:{(57,1),(59,1),(95,1),(98,1)}
        78:{1,2,5,7}:{(57,1),(58,1),(60,1),(96,1),(97,1),(104,1),(132,1)}
        79:{1,3,4}:{(59,1),(61,1),(65,1),(95,1),(98,1)}
        80:{1,4,7}:{(59,1),(60,1),(62,1),(100,1),(157,1)}
        81:{1,3,6}:{(60,1),(63,1),(67,1),(97,1),(100,1)}
        82:{3,4,7}:{(61,1),(62,1),(68,1),(101,1),(128,1),(173,1)}
        83:{2,4,6}:{(62,1),(63,1),(64,1),(100,1),(101,1),(102,1)}
        84:{1,5}:{(64,1),(102,1)}
        85:{2,5}:{(65,1),(90,1),(98,1),(103,1)}
        86:{1,3,5,7}:{(65,1),(66,1),(68,1),(91,1),(99,1),(104,1),(105,1),(135,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1),(105,1),(106,1)}
        88:{3,6}:{(68,1),(69,1)}
        89:{2,5,6}:{(69,1),(70,1),(94,1),(102,1),(106,1),(107,1)}
        90:{2,6}:{(71,1),(85,1),(108,1),(109,1)}
        91:{1,3,7}:{(71,1),(72,1),(74,1),(109,1)}
        92:{1,4,6,7}:{(72,1),(73,1),(75,1),(87,1),(110,1),(111,1),(142,1)}
        93:{3,6,7}:{(74,1),(75,1),(88,1),(112,1),(163,1)}
        94:{2,5,7}:{(75,1),(76,1),(89,1),(111,1),(112,1)}
        95:{1,3}:{(77,1),(113,1)}
        96:{1,2,4,7}:{(77,1),(78,1),(80,1),(114,1),(115,1),(117,1)}
        97:{1,2,6}:{(78,1),(81,1),(122,1)}
        98:{2,4}:{(79,1),(85,1),(113,1),(116,1)}
        99:{1,3,4,7}:{(79,1),(80,1),(82,1),(86,1),(114,1),(117,1),(118,1),(142,1),(163,1)}
       100:{1,4,6}:{(80,1),(81,1),(83,1),(119,1)}
       101:{3,4,6}:{(82,1),(83,1),(88,1),(120,1),(124,1)}
       102:{2,5}:{(83,1),(84,1),(119,1),(120,1)}
       103:{1,5}:{(85,1),(108,1),(116,1)}
       104:{2,5,7}:{(85,1),(86,1),(109,1),(117,1),(121,1),(122,1),(148,1)}
       105:{1,3,6}:{(86,1),(87,1),(88,1),(122,1)}
       106:{1,5,6}:{(87,1),(89,1),(111,1),(119,1)}
       107:{3,5,6}:{(88,1),(89,1),(112,1),(120,1),(124,1)}
       108:{1,6}:{(90,1),(103,1),(125,1)}
       109:{2,7}:{(90,1),(91,1),(125,1)}
       110:{1,3,6,7}:{(91,1),(92,1),(93,1),(105,1),(126,1),(127,1)}
       111:{1,5,7}:{(92,1),(94,1),(106,1)}
       112:{3,5,7}:{(93,1),(94,1),(107,1),(128,1)}
       113:{2,3}:{(95,1),(98,1),(129,1)}
       114:{1,3,7}:{(95,1),(96,1),(130,1),(131,1),(181,1)}
       115:{1,2,4,6}:{(96,1),(97,1),(100,1),(131,1),(132,1),(134,1),(157,1)}
       116:{1,4}:{(98,1),(103,1),(129,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(133,1),(134,1)}
       118:{1,3,4,6}:{(99,1),(100,1),(101,1),(105,1),(131,1),(134,1),(135,1),(139,1),(157,1),(161,1),(173,1)}
       119:{1,5}:{(100,1),(102,1)}
       120:{3,5}:{(101,1),(102,1),(136,1)}
       121:{1,5,7}:{(103,1),(104,1),(125,1),(133,1),(137,1),(158,1)}
       122:{2,6}:{(104,1),(105,1),(137,1)}
       123:{1,3,5,6}:{(105,1),(106,1),(107,1),(127,1),(135,1),(138,1),(139,1),(161,1)}
       124:{4,6}:{(107,1),(128,1),(136,1)}
       125:{1,7}:{(108,1),(109,1)}
       126:{2,6,7}:{(109,1),(110,1),(122,1),(140,1),(141,1)}
       127:{1,3,5,7}:{(110,1),(111,1),(112,1),(123,1),(141,1),(142,1),(163,1)}
       128:{4,7}:{(112,1),(124,1)}
       129:{1,3}:{(113,1),(116,1),(143,1)}
       130:{2,3,7}:{(113,1),(114,1),(117,1),(144,1),(145,1),(163,1),(176,1)}
       131:{1,3,6}:{(114,1),(115,1),(145,1),(146,1),(180,1)}
       132:{1,2,5}:{(115,1),(119,1),(146,1),(148,1),(188,1)}
       133:{1,4,7}:{(116,1),(117,1),(121,1),(144,1),(147,1)}
       134:{2,4,6}:{(117,1),(118,1),(122,1),(145,1),(147,1),(148,1),(166,1)}
       135:{1,3,5}:{(118,1),(119,1),(120,1),(148,1),(149,1),(168,1)}
       136:{4,5}:{(120,1),(124,1)}
       137:{1,6}:{(121,1),(122,1)}
       138:{2,5,6}:{(122,1),(123,1),(141,1),(148,1),(150,1),(151,1)}
       139:{1,4,6}:{(123,1),(124,1),(142,1),(149,1),(151,1),(180,1)}
       140:{1,6,7}:{(125,1),(126,1),(137,1),(152,1)}
       141:{2,5,7}:{(126,1),(127,1),(138,1),(152,1),(153,1)}
       142:{1,4,7}:{(127,1),(128,1),(139,1),(153,1),(181,1)}
       143:{1,2}:{(129,1)}
       144:{1,3,7}:{(129,1),(130,1),(133,1),(154,1),(155,1)}
       145:{2,3,6}:{(130,1),(131,1),(134,1),(155,1),(156,1),(161,1),(175,1)}
       146:{1,3,5}:{(131,1),(132,1),(156,1),(157,1),(184,1),(187,1)}
       147:{1,4,6}:{(133,1),(134,1),(137,1),(155,1),(158,1),(172,1)}
       148:{2,5}:{(134,1),(135,1),(158,1)}
       149:{1,4,5}:{(135,1),(136,1),(139,1),(157,1),(159,1),(184,1)}
       150:{1,5,6}:{(137,1),(138,1),(152,1),(158,1),(160,1)}
       151:{2,4,6}:{(138,1),(139,1),(153,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,5,7}:{(140,1),(141,1),(150,1),(162,1)}
       153:{2,4,7}:{(141,1),(142,1),(151,1),(162,1),(163,1),(176,1)}
       154:{1,2,7}:{(143,1),(144,1),(164,1),(176,1)}
       155:{1,3,6}:{(144,1),(145,1),(147,1),(164,1),(165,1)}
       156:{2,3,5}:{(145,1),(146,1),(148,1),(165,1),(166,1),(168,1),(179,1),(185,1)}
       157:{1,4}:{(146,1),(166,1)}
       158:{1,5}:{(147,1),(148,1)}
       159:{2,4,5}:{(148,1),(149,1),(151,1),(166,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(162,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(163,1),(168,1)}
       162:{1,4,7}:{(152,1),(153,1),(160,1),(170,1)}
       163:{3,7}:{(153,1),(161,1)}
       164:{1,2,6}:{(154,1),(155,1),(171,1),(175,1)}
       165:{1,3,5}:{(155,1),(156,1),(158,1),(171,1),(172,1),(182,1)}
       166:{2,4}:{(156,1),(157,1),(172,1),(173,1)}
       167:{1,4,5}:{(158,1),(159,1),(160,1),(172,1),(174,1)}
       168:{3,5}:{(159,1),(161,1),(173,1)}
       169:{1,3,6}:{(160,1),(161,1),(170,1),(174,1),(175,1)}
       170:{1,3,7}:{(162,1),(163,1),(169,1),(176,1)}
       171:{1,2,5}:{(164,1),(165,1),(177,1),(179,1)}
       172:{1,4}:{(165,1),(166,1)}
       173:{3,4}:{(166,1),(168,1)}
       174:{1,3,5}:{(167,1),(168,1),(169,1),(178,1),(179,1)}
       175:{2,6}:{(169,1),(176,1),(179,1),(180,1)}
       176:{2,7}:{(170,1),(175,1),(181,1)}
       177:{1,2,4}:{(171,1),(172,1),(182,1),(183,1)}
       178:{1,3,4}:{(172,1),(173,1),(174,1),(182,1),(183,1)}
       179:{2,5}:{(174,1),(175,1),(183,1),(184,1)}
       180:{1,6}:{(175,1),(181,1),(184,1)}
       181:{1,7}:{(176,1),(180,1)}
       182:{1,3}:{(177,1),(185,1)}
       183:{2,4}:{(178,1),(179,1),(185,1),(186,1)}
       184:{1,5}:{(179,1),(180,1),(186,1)}
       185:{2,3}:{(182,1),(183,1),(187,1)}
       186:{1,4}:{(183,1),(184,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

1225 :   0:{1,2,3,5}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(18,1),(165,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(10,1),(11,1),(24,1),(35,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(38,1),(151,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(34,1)}
         7:{2,3,4}:{(3,1),(15,1),(16,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(20,1),(54,1),(57,1),(134,1),(162,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(22,1),(40,1),(54,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(20,1),(23,1),(174,1)}
        13:{1,3,4,5}:{(8,1),(24,1),(25,1),(35,1),(74,1)}
        14:{1,2,3}:{(26,1)}
        15:{1,3,4}:{(7,1),(26,1),(28,1)}
        16:{2,3,5}:{(7,1),(8,1),(24,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(32,1),(72,1),(76,1),(113,1),(148,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1),(34,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(35,1)}
        20:{1,3,4,7}:{(9,1),(12,1),(32,1),(34,1),(36,1),(77,1),(172,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,4,7}:{(10,1),(34,1),(37,1),(61,1),(77,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(36,1),(38,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(18,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,4}:{(14,1),(15,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(44,1),(45,1),(46,1),(130,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(43,1),(47,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(44,1),(47,1),(48,1),(49,1),(90,1),(91,1),(95,1),(130,1)}
        30:{2,3,6}:{(16,1),(18,1),(40,1),(47,1),(51,1)}
        31:{2,3,5}:{(17,1),(19,1),(48,1),(52,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(49,1),(51,1),(53,1),(97,1),(163,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(50,1),(54,1),(55,1),(57,1),(102,1),(157,1),(162,1)}
        34:{1,3,7}:{(18,1),(22,1),(51,1)}
        35:{1,4,5}:{(19,1),(52,1),(54,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(53,1),(56,1),(57,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(55,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(23,1),(57,1)}
        39:{1,4,5}:{(24,1),(28,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(34,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,5}:{(26,1),(28,1),(64,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(29,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        45:{1,2,3,5}:{(27,1),(65,1),(67,1),(111,1)}
        46:{1,2,3,7}:{(27,1),(66,1),(149,1)}
        47:{1,3,6}:{(28,1),(30,1),(59,1),(64,1),(69,1)}
        48:{1,3,5}:{(29,1),(31,1),(65,1),(70,1)}
        49:{1,3,4,7}:{(29,1),(32,1),(66,1),(69,1),(71,1),(115,1),(149,1)}
        50:{2,3,5,6}:{(30,1),(31,1),(33,1),(60,1),(68,1),(72,1),(73,1),(76,1),(105,1),(122,1),(143,1),(148,1)}
        51:{2,3,7}:{(30,1),(34,1),(61,1),(69,1)}
        52:{2,4,5}:{(31,1),(35,1),(70,1),(72,1),(74,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(36,1),(71,1),(75,1),(76,1)}
        54:{1,4,6}:{(33,1),(35,1),(72,1),(77,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(37,1),(73,1),(77,1),(78,1),(123,1),(168,1),(172,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(75,1),(77,1),(79,1),(123,1)}
        57:{1,3,6}:{(36,1),(38,1),(76,1),(79,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(78,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(47,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(51,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(157,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,6}:{(43,1),(47,1),(87,1)}
        65:{1,2,5}:{(44,1),(48,1)}
        66:{1,2,4,7}:{(44,1),(46,1),(49,1),(87,1),(89,1)}
        67:{1,2,4}:{(45,1),(90,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(80,1),(86,1),(91,1),(92,1),(95,1),(130,1),(139,1)}
        69:{1,3,7}:{(47,1),(51,1),(81,1),(87,1)}
        70:{1,4,5}:{(48,1),(52,1),(91,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(53,1),(89,1),(94,1),(95,1)}
        72:{2,4,6}:{(50,1),(52,1),(54,1),(91,1),(96,1),(97,1)}
        73:{2,3,5,7}:{(50,1),(51,1),(55,1),(83,1),(92,1),(97,1),(98,1),(127,1),(141,1),(158,1),(163,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(56,1),(94,1),(97,1),(99,1),(100,1),(141,1)}
        76:{2,3,6}:{(53,1),(57,1),(95,1),(100,1)}
        77:{1,4,7}:{(54,1),(55,1),(97,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(58,1),(98,1),(101,1),(173,1)}
        79:{1,4,6}:{(56,1),(57,1),(100,1),(102,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(69,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(72,1),(103,1),(105,1),(106,1),(122,1),(143,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(146,1)}
        86:{1,2,5,6}:{(64,1),(65,1),(68,1),(109,1),(110,1),(112,1),(143,1)}
        87:{1,2,7}:{(64,1),(69,1)}
        88:{1,2,4,5}:{(65,1),(67,1),(70,1),(109,1),(111,1),(117,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(71,1),(112,1)}
        90:{1,3,4}:{(67,1),(111,1),(113,1)}
        91:{1,4,6}:{(68,1),(70,1),(72,1),(115,1)}
        92:{1,3,5,7}:{(68,1),(69,1),(73,1),(104,1),(110,1),(115,1),(116,1),(149,1),(154,1)}
        93:{1,3,4,5}:{(70,1),(74,1),(111,1),(114,1),(117,1)}
        94:{1,4,5,7}:{(70,1),(71,1),(75,1),(115,1),(118,1),(154,1)}
        95:{1,3,6}:{(71,1),(76,1),(112,1),(118,1)}
        96:{3,4,6}:{(72,1),(74,1),(105,1),(119,1)}
        97:{2,4,7}:{(72,1),(73,1),(77,1),(115,1),(119,1)}
        98:{2,3,6,7}:{(73,1),(76,1),(78,1),(107,1),(116,1),(120,1),(146,1),(169,1)}
        99:{3,4,5,7}:{(74,1),(75,1),(119,1),(121,1),(155,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(118,1),(121,1),(122,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(120,1),(123,1)}
       102:{1,5,6}:{(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(91,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(97,1),(125,1),(127,1),(128,1),(141,1),(158,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{1,2,4,6}:{(86,1),(88,1),(91,1),(130,1),(131,1),(135,1)}
       110:{1,2,5,7}:{(86,1),(87,1),(92,1),(131,1),(132,1),(158,1)}
       111:{1,3,5}:{(88,1),(90,1),(130,1),(133,1)}
       112:{1,2,6}:{(89,1),(95,1)}
       113:{2,3,4}:{(90,1),(133,1),(134,1)}
       114:{1,3,4,6}:{(91,1),(93,1),(96,1),(124,1),(130,1),(135,1),(136,1)}
       115:{1,4,7}:{(91,1),(92,1),(97,1)}
       116:{1,3,6,7}:{(92,1),(95,1),(98,1),(126,1),(132,1),(137,1)}
       117:{2,4,5}:{(93,1),(133,1),(135,1),(138,1)}
       118:{1,4,6}:{(94,1),(95,1),(100,1),(139,1)}
       119:{3,4,7}:{(96,1),(97,1),(127,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(100,1),(101,1),(137,1),(140,1),(141,1)}
       121:{3,4,6}:{(99,1),(100,1),(142,1)}
       122:{2,5,6}:{(100,1),(102,1),(139,1),(141,1),(142,1)}
       123:{1,5,7}:{(101,1),(102,1),(141,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(114,1),(143,1),(144,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(115,1),(144,1),(145,1),(154,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(146,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(145,1),(146,1),(147,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(147,1)}
       130:{1,3,6}:{(109,1),(111,1),(148,1),(149,1)}
       131:{1,2,4,7}:{(109,1),(110,1),(115,1),(149,1),(153,1)}
       132:{1,2,6,7}:{(110,1),(112,1),(116,1),(169,1)}
       133:{2,3,5}:{(111,1),(113,1),(117,1),(148,1),(150,1)}
       134:{1,3,4}:{(113,1),(150,1),(151,1)}
       135:{2,4,6}:{(114,1),(117,1),(143,1),(148,1),(152,1),(153,1)}
       136:{1,3,4,7}:{(114,1),(115,1),(119,1),(144,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(118,1),(120,1),(154,1)}
       138:{1,4,5}:{(117,1),(150,1),(152,1)}
       139:{1,5,6}:{(118,1),(122,1),(154,1)}
       140:{3,4,6,7}:{(119,1),(120,1),(121,1),(146,1),(155,1),(170,1)}
       141:{2,5,7}:{(120,1),(122,1),(123,1),(154,1),(155,1)}
       142:{3,5,6}:{(121,1),(122,1),(155,1),(156,1)}
       143:{2,5,6}:{(124,1),(135,1),(157,1),(158,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(136,1),(158,1),(159,1)}
       145:{1,4,6,7}:{(125,1),(126,1),(128,1),(159,1),(160,1)}
       146:{3,6,7}:{(127,1),(128,1)}
       147:{2,5,6,7}:{(128,1),(129,1),(141,1),(160,1),(161,1)}
       148:{2,3,6}:{(130,1),(133,1),(135,1),(162,1),(163,1)}
       149:{1,3,7}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(133,1),(134,1),(138,1),(162,1),(164,1)}
       151:{1,2,4}:{(134,1),(164,1),(165,1)}
       152:{1,4,6}:{(135,1),(138,1),(157,1),(162,1),(166,1)}
       153:{2,4,7}:{(135,1),(136,1),(158,1),(163,1),(166,1)}
       154:{1,5,7}:{(137,1),(139,1),(141,1)}
       155:{3,5,7}:{(140,1),(141,1),(142,1),(167,1)}
       156:{4,5,6}:{(142,1),(167,1)}
       157:{1,5,6}:{(143,1),(152,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(153,1),(168,1),(169,1)}
       159:{1,3,6,7}:{(144,1),(145,1),(146,1),(169,1)}
       160:{1,5,6,7}:{(145,1),(147,1),(154,1)}
       161:{3,5,6,7}:{(146,1),(147,1),(155,1),(170,1)}
       162:{1,3,6}:{(148,1),(150,1),(152,1),(171,1),(172,1)}
       163:{2,3,7}:{(148,1),(149,1),(153,1),(172,1)}
       164:{1,2,5}:{(150,1),(151,1),(171,1)}
       165:{1,2,3}:{(151,1)}
       166:{1,4,7}:{(152,1),(153,1),(168,1),(172,1)}
       167:{4,5,7}:{(155,1),(156,1),(170,1)}
       168:{1,5,7}:{(157,1),(158,1),(166,1),(173,1)}
       169:{2,6,7}:{(158,1),(159,1),(173,1)}
       170:{4,6,7}:{(161,1),(167,1)}
       171:{1,2,6}:{(162,1),(164,1),(174,1)}
       172:{1,3,7}:{(162,1),(163,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1226 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(92,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(69,1),(110,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(28,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(67,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(30,1),(31,1),(35,1),(66,1)}
         5:{1,3,4,6}:{(1,1),(4,1),(11,1),(12,1),(13,1),(17,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
         6:{1,2,5}:{(1,1),(12,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(13,1),(16,1),(126,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{2,3,5}:{(4,1),(12,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(51,1),(90,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(30,1),(55,1),(59,1),(66,1)}
        12:{1,3,5}:{(5,1),(6,1),(9,1),(21,1),(24,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(10,1),(22,1),(25,1),(62,1),(67,1),(111,1)}
        14:{1,2,5,6}:{(6,1),(23,1),(26,1),(27,1),(29,1),(104,1),(110,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(26,1),(28,1),(64,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(25,1),(29,1)}
        17:{1,3,4}:{(8,1),(28,1),(30,1)}
        18:{2,3,5,6}:{(9,1),(23,1),(31,1),(32,1),(35,1),(66,1),(70,1),(75,1),(104,1)}
        19:{2,4,5}:{(9,1),(24,1),(31,1),(33,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(34,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(37,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(78,1),(90,1)}
        23:{1,3,5,6}:{(12,1),(14,1),(18,1),(36,1),(39,1),(40,1),(43,1),(44,1),(88,1),(89,1),(121,1)}
        24:{1,4,5}:{(12,1),(19,1),(37,1),(39,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(44,1),(45,1),(84,1)}
        27:{1,2,5,7}:{(14,1),(40,1),(45,1),(46,1),(122,1),(126,1)}
        28:{1,3,5}:{(15,1),(17,1),(44,1),(47,1)}
        29:{1,2,6}:{(16,1),(43,1)}
        30:{2,3,4}:{(17,1),(47,1),(48,1)}
        31:{2,4,6}:{(18,1),(19,1),(39,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(18,1),(40,1),(51,1),(52,1),(90,1),(93,1),(96,1),(122,1)}
        33:{3,4,5}:{(19,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(42,1),(51,1),(53,1),(54,1),(96,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,3,5,6}:{(21,1),(23,1),(55,1),(56,1),(59,1),(66,1),(98,1),(103,1),(104,1)}
        37:{2,4,5}:{(21,1),(24,1),(55,1),(57,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(59,1)}
        39:{1,4,6}:{(23,1),(24,1),(31,1),(55,1),(62,1)}
        40:{1,3,5,7}:{(23,1),(27,1),(32,1),(56,1),(62,1),(63,1),(67,1),(109,1),(111,1),(133,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(33,1),(57,1),(61,1),(64,1)}
        42:{1,4,5,7}:{(24,1),(25,1),(34,1),(58,1),(62,1),(65,1),(109,1)}
        43:{1,3,6}:{(25,1),(29,1),(35,1),(59,1),(65,1)}
        44:{1,3,6}:{(26,1),(28,1),(66,1),(67,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(62,1),(67,1),(108,1)}
        46:{1,2,6,7}:{(27,1),(29,1),(63,1),(134,1)}
        47:{2,3,5}:{(28,1),(30,1),(64,1),(66,1),(68,1)}
        48:{1,3,4}:{(30,1),(68,1),(69,1)}
        49:{2,4,5,6}:{(31,1),(60,1),(70,1),(71,1),(75,1),(104,1),(115,1)}
        50:{3,4,6}:{(31,1),(33,1),(70,1),(72,1)}
        51:{2,4,7}:{(31,1),(32,1),(62,1),(72,1)}
        52:{2,3,6,7}:{(32,1),(35,1),(63,1),(73,1),(112,1),(134,1)}
        53:{3,4,5,7}:{(33,1),(34,1),(72,1),(74,1),(114,1)}
        54:{2,4,6}:{(34,1),(35,1),(65,1),(74,1),(75,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(77,1),(78,1)}
        56:{2,3,5,7}:{(36,1),(40,1),(78,1),(79,1),(90,1),(116,1),(119,1),(122,1)}
        57:{3,4,5}:{(37,1),(77,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(78,1),(80,1),(81,1),(119,1)}
        59:{2,3,6}:{(38,1),(43,1),(81,1)}
        60:{1,4,5,6}:{(39,1),(49,1),(76,1),(82,1),(83,1),(88,1),(121,1)}
        61:{1,3,4,6}:{(39,1),(41,1),(44,1),(50,1),(77,1),(82,1),(84,1),(85,1)}
        62:{1,4,7}:{(39,1),(40,1),(51,1),(78,1)}
        63:{1,3,6,7}:{(40,1),(43,1),(46,1),(52,1),(79,1),(86,1),(138,1)}
        64:{2,4,5}:{(41,1),(47,1),(84,1),(87,1)}
        65:{1,4,6}:{(42,1),(43,1),(54,1),(81,1),(88,1)}
        66:{2,3,6}:{(44,1),(47,1),(84,1),(89,1),(90,1)}
        67:{1,3,7}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(47,1),(48,1),(87,1),(89,1),(91,1)}
        69:{1,2,4}:{(48,1),(91,1),(92,1)}
        70:{3,5,6}:{(49,1),(50,1),(93,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(93,1),(94,1),(96,1),(122,1),(128,1)}
        72:{3,4,7}:{(50,1),(51,1),(93,1)}
        73:{2,4,6,7}:{(51,1),(52,1),(54,1),(86,1),(95,1),(96,1)}
        74:{3,4,6}:{(53,1),(54,1),(97,1)}
        75:{2,5,6}:{(54,1),(88,1),(96,1),(97,1)}
        76:{2,4,5,6}:{(55,1),(60,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        77:{3,4,6}:{(55,1),(57,1),(98,1),(100,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1),(100,1)}
        79:{2,3,6,7}:{(56,1),(59,1),(63,1),(101,1),(129,1),(134,1)}
        80:{3,4,5,7}:{(57,1),(58,1),(100,1),(102,1),(131,1)}
        81:{2,4,6}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        82:{1,3,5,6}:{(60,1),(61,1),(70,1),(98,1),(104,1),(105,1)}
        83:{1,4,5,7}:{(60,1),(62,1),(71,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        84:{2,4,6}:{(61,1),(64,1),(66,1),(104,1),(107,1),(108,1)}
        85:{1,3,4,7}:{(61,1),(62,1),(67,1),(72,1),(100,1),(105,1),(108,1)}
        86:{1,4,6,7}:{(62,1),(63,1),(65,1),(73,1),(101,1),(109,1)}
        87:{1,4,5}:{(64,1),(68,1),(107,1)}
        88:{1,5,6}:{(65,1),(75,1),(103,1),(109,1)}
        89:{1,3,6}:{(66,1),(68,1),(107,1),(110,1),(111,1)}
        90:{2,3,7}:{(66,1),(67,1),(108,1),(111,1)}
        91:{1,2,5}:{(68,1),(69,1),(110,1)}
        92:{1,2,3}:{(69,1)}
        93:{3,5,7}:{(70,1),(71,1),(72,1),(112,1)}
        94:{2,4,6,7}:{(71,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(72,1),(73,1),(74,1),(112,1),(114,1),(135,1)}
        96:{2,5,7}:{(73,1),(75,1),(109,1),(114,1)}
        97:{3,5,6}:{(74,1),(75,1),(114,1),(115,1)}
        98:{3,5,6}:{(76,1),(77,1),(116,1)}
        99:{2,4,5,7}:{(76,1),(78,1),(83,1),(116,1),(117,1),(119,1),(122,1),(137,1)}
       100:{3,4,7}:{(77,1),(78,1),(116,1)}
       101:{2,4,6,7}:{(78,1),(79,1),(81,1),(86,1),(118,1),(119,1)}
       102:{3,4,6}:{(80,1),(81,1),(120,1)}
       103:{2,5,6}:{(81,1),(88,1),(119,1),(120,1)}
       104:{2,5,6}:{(82,1),(84,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(83,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(84,1),(87,1),(89,1),(121,1),(125,1)}
       108:{2,4,7}:{(84,1),(85,1),(90,1),(122,1),(125,1)}
       109:{1,5,7}:{(86,1),(88,1),(96,1),(119,1)}
       110:{1,2,6}:{(89,1),(91,1),(126,1)}
       111:{1,3,7}:{(89,1),(90,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(96,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{2,5,7}:{(101,1),(103,1),(109,1),(131,1)}
       120:{3,5,6}:{(102,1),(103,1),(131,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(119,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1227 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1228 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1229 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

1230 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1231 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1232 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1233 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1234 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1235 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1236 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(133,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(104,1),(113,1),(162,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(69,1),(118,1),(123,1),(127,1),(159,1),(169,1),(173,1),(206,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(48,1),(77,1),(93,1),(130,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(77,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(187,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(46,1),(92,1),(133,1),(143,1),(148,1),(154,1),(187,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(95,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(30,1),(53,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(54,1),(158,1),(169,1),(204,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(104,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(28,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(28,1),(29,1),(171,1),(181,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(29,1),(30,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(28,1),(31,1),(206,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(29,1),(31,1),(32,1),(64,1),(68,1),(117,1),(123,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(33,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(35,1),(36,1),(77,1),(81,1),(93,1),(132,1),(143,1),(150,1),(185,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(182,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(43,1),(77,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(130,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(46,1),(89,1)}
        27:{1,3,4,5}:{(17,1),(45,1),(95,1),(153,1),(224,1),(231,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(46,1),(187,1),(196,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(46,1),(47,1),(148,1),(155,1)}
        30:{1,3,6,7}:{(16,1),(44,1),(47,1),(48,1),(145,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(46,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(47,1),(50,1),(51,1),(90,1),(95,1),(100,1),(145,1)}
        33:{1,4,5,7}:{(19,1),(22,1),(52,1),(53,1),(66,1)}
        34:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(53,1),(54,1),(56,1),(101,1)}
        35:{1,2,4,5,6}:{(20,1),(52,1),(55,1),(102,1),(107,1),(119,1),(158,1),(164,1),(169,1),(175,1),(204,1),(210,1),(212,1),(216,1),(244,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(55,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(157,1),(204,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(52,1),(59,1),(64,1),(102,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(54,1),(61,1),(62,1),(70,1),(109,1),(112,1),(116,1),(117,1),(157,1),(172,1),(215,1),(218,1),(235,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(28,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(30,1),(66,1),(71,1),(118,1)}
        45:{2,4,5}:{(27,1),(31,1),(68,1),(69,1),(123,1),(180,1)}
        46:{2,4,7}:{(28,1),(29,1),(31,1),(71,1)}
        47:{1,3,5,7}:{(29,1),(30,1),(32,1),(66,1),(71,1),(72,1),(126,1)}
        48:{1,2,6,7}:{(30,1),(72,1),(173,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(70,1),(73,1),(117,1),(128,1),(180,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,2,5,6}:{(32,1),(72,1),(74,1),(123,1),(173,1)}
        52:{1,4,5,6}:{(33,1),(38,1),(75,1),(90,1),(141,1),(224,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        54:{2,4,6,7}:{(34,1),(37,1),(77,1),(78,1),(81,1),(129,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(79,1),(80,1),(182,1),(188,1),(194,1),(230,1),(231,1)}
        56:{1,3,4,7}:{(36,1),(79,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(77,1),(80,1),(81,1),(82,1),(185,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(78,1),(82,1),(83,1),(182,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(77,1),(85,1),(86,1),(87,1),(231,1),(233,1),(242,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(78,1),(87,1),(88,1),(94,1),(97,1),(134,1),(139,1),(141,1),(145,1),(150,1),(182,1),(187,1),(194,1),(196,1),(199,1),(223,1),(232,1),(241,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(48,1),(88,1),(93,1),(94,1),(98,1),(146,1),(150,1),(192,1),(221,1),(241,1)}
        68:{2,3,5}:{(45,1),(49,1),(95,1),(231,1),(233,1)}
        69:{1,4,5}:{(45,1),(50,1),(95,1),(203,1)}
        70:{2,3,4,7}:{(46,1),(49,1),(91,1),(97,1),(155,1),(196,1),(202,1)}
        71:{1,4,7}:{(46,1),(47,1),(50,1)}
        72:{1,2,5,7}:{(47,1),(48,1),(51,1),(98,1),(148,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(153,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,5,6}:{(52,1),(53,1),(59,1),(101,1),(102,1),(236,1)}
        76:{1,3,4,5,7}:{(53,1),(56,1),(60,1),(101,1),(103,1),(106,1),(114,1),(160,1),(171,1),(209,1),(236,1)}
        77:{2,5,7}:{(53,1),(54,1),(102,1),(104,1)}
        78:{1,4,6,7}:{(54,1),(58,1),(104,1),(110,1),(158,1)}
        79:{1,3,4,6}:{(55,1),(56,1),(106,1),(107,1),(175,1),(215,1)}
        80:{2,3,5,6}:{(55,1),(57,1),(102,1),(107,1),(108,1),(157,1),(163,1),(204,1),(210,1),(213,1)}
        81:{2,4,7}:{(56,1),(57,1),(107,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(104,1),(108,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(204,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(102,1),(112,1),(113,1),(117,1),(157,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(104,1),(113,1),(114,1),(115,1),(171,1),(219,1),(236,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(125,1),(167,1),(169,1),(172,1),(173,1),(204,1),(218,1),(235,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(70,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(71,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(126,1),(174,1),(214,1),(234,1)}
        95:{1,3,5}:{(68,1),(69,1),(73,1),(123,1),(240,1)}
        96:{1,2,4,5}:{(69,1),(74,1),(123,1),(124,1),(180,1)}
        97:{1,3,4,7}:{(70,1),(71,1),(73,1),(120,1),(125,1),(126,1),(181,1),(220,1)}
        98:{1,2,4,7}:{(71,1),(72,1),(74,1),(125,1),(126,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(180,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,6}:{(75,1),(76,1),(84,1),(129,1),(141,1),(182,1),(194,1)}
       102:{2,5,6}:{(75,1),(77,1),(129,1),(130,1),(242,1)}
       103:{2,4,5,7}:{(76,1),(77,1),(81,1),(129,1),(131,1),(132,1),(135,1),(185,1),(226,1),(242,1)}
       104:{1,5,7}:{(77,1),(78,1),(130,1)}
       105:{1,2,4,6,7}:{(78,1),(83,1),(88,1),(133,1),(134,1),(140,1),(154,1),(183,1),(187,1),(197,1),(232,1)}
       106:{1,3,4,5}:{(79,1),(135,1),(188,1),(200,1),(229,1),(231,1)}
       107:{2,4,6}:{(79,1),(80,1),(81,1),(135,1),(137,1)}
       108:{1,3,5,6}:{(80,1),(82,1),(130,1),(137,1),(138,1),(182,1),(188,1),(191,1)}
       109:{2,3,4,7}:{(81,1),(131,1),(136,1),(139,1),(193,1),(196,1),(226,1)}
       110:{1,4,7}:{(81,1),(82,1),(137,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(138,1),(140,1),(185,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(130,1),(141,1),(142,1),(145,1),(182,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(187,1),(200,1),(224,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(242,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(134,1),(144,1),(155,1),(193,1),(194,1),(198,1),(222,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(221,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,5}:{(95,1),(99,1)}
       124:{1,3,5}:{(96,1),(100,1),(152,1),(153,1)}
       125:{2,4,7}:{(97,1),(99,1),(148,1),(155,1)}
       126:{1,3,7}:{(98,1),(100,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(154,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(155,1),(156,1)}
       129:{2,4,6}:{(101,1),(102,1),(103,1),(157,1),(158,1),(204,1)}
       130:{1,5,6}:{(102,1),(104,1),(158,1),(244,1)}
       131:{2,3,5,7}:{(103,1),(109,1),(157,1),(160,1),(163,1),(171,1)}
       132:{1,4,5,7}:{(103,1),(104,1),(110,1),(158,1),(160,1),(164,1),(237,1),(244,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(115,1),(159,1),(162,1),(240,1)}
       134:{1,3,6,7}:{(105,1),(116,1),(162,1),(168,1),(181,1),(205,1),(217,1)}
       135:{2,4,5}:{(106,1),(107,1),(163,1),(164,1),(210,1),(239,1)}
       136:{2,3,4,6}:{(107,1),(109,1),(157,1),(163,1),(165,1),(213,1),(215,1),(235,1),(239,1)}
       137:{1,4,6}:{(107,1),(108,1),(110,1),(164,1)}
       138:{1,2,5,6}:{(108,1),(111,1),(166,1),(204,1),(210,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(160,1),(165,1),(167,1),(168,1),(214,1),(237,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(166,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(204,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(162,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(234,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,5}:{(123,1),(127,1),(179,1),(240,1)}
       152:{2,3,5}:{(123,1),(124,1),(128,1),(179,1),(180,1)}
       153:{1,3,4}:{(124,1),(180,1)}
       154:{1,2,4,7}:{(125,1),(127,1),(176,1),(181,1),(220,1)}
       155:{2,3,7}:{(125,1),(126,1),(128,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(181,1)}
       157:{2,3,6}:{(129,1),(131,1),(182,1),(194,1)}
       158:{1,4,6}:{(129,1),(130,1),(132,1),(182,1)}
       159:{1,2,5,6}:{(130,1),(133,1),(142,1),(183,1),(184,1),(197,1),(242,1)}
       160:{1,3,5,7}:{(131,1),(132,1),(139,1),(182,1),(185,1),(188,1)}
       161:{1,2,4,5,7}:{(132,1),(133,1),(140,1),(143,1),(183,1),(185,1),(186,1),(187,1),(189,1),(224,1),(226,1),(242,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(144,1),(184,1),(187,1)}
       163:{2,3,5}:{(135,1),(136,1),(188,1),(231,1),(242,1)}
       164:{1,4,5}:{(135,1),(137,1),(188,1),(243,1)}
       165:{1,3,4,6}:{(136,1),(137,1),(139,1),(182,1),(188,1),(190,1),(191,1),(229,1),(230,1),(241,1),(243,1)}
       166:{1,2,4,6}:{(137,1),(138,1),(140,1),(189,1),(190,1),(191,1)}
       167:{2,4,7}:{(139,1),(185,1),(190,1),(193,1)}
       168:{1,3,7}:{(140,1),(191,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(184,1),(194,1),(195,1),(198,1),(222,1),(231,1),(233,1),(242,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(187,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(154,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(155,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(153,1),(196,1),(199,1),(202,1)}
       179:{1,3,5}:{(151,1),(152,1),(156,1),(203,1)}
       180:{2,4}:{(152,1),(153,1),(203,1)}
       181:{1,3,7}:{(154,1),(155,1),(156,1)}
       182:{1,3,6}:{(157,1),(158,1),(160,1),(204,1)}
       183:{1,2,4,6}:{(158,1),(159,1),(161,1),(169,1),(204,1),(205,1),(206,1),(235,1)}
       184:{1,3,5,6}:{(159,1),(162,1),(170,1),(205,1),(206,1),(217,1),(236,1),(240,1)}
       185:{2,5,7}:{(160,1),(167,1),(204,1),(210,1)}
       186:{1,3,5,7}:{(161,1),(168,1),(171,1),(205,1),(208,1),(209,1),(211,1),(236,1)}
       187:{1,4,7}:{(162,1),(172,1),(206,1)}
       188:{1,3,5}:{(163,1),(164,1),(165,1),(210,1),(244,1)}
       189:{1,2,4,5}:{(164,1),(166,1),(210,1),(211,1),(239,1)}
       190:{2,4,6}:{(165,1),(167,1),(204,1),(210,1),(213,1),(239,1)}
       191:{1,3,6}:{(166,1),(168,1),(211,1),(213,1)}
       192:{1,2,4,7}:{(167,1),(207,1),(212,1),(214,1),(237,1)}
       193:{2,3,7}:{(167,1),(168,1),(213,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(206,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(181,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(180,1),(218,1),(220,1)}
       203:{1,4}:{(179,1),(180,1)}
       204:{2,6}:{(182,1),(185,1)}
       205:{1,3,6}:{(183,1),(186,1),(194,1),(222,1)}
       206:{1,4,6}:{(184,1),(187,1),(195,1),(224,1)}
       207:{1,2,5,7}:{(185,1),(192,1),(221,1),(225,1),(227,1)}
       208:{2,3,5,7}:{(185,1),(186,1),(193,1),(222,1),(225,1),(226,1),(228,1),(242,1)}
       209:{1,3,4,7}:{(186,1),(187,1),(196,1),(223,1),(226,1),(229,1)}
       210:{2,5}:{(188,1),(190,1)}
       211:{1,3,5}:{(189,1),(191,1),(228,1),(229,1)}
       212:{1,2,4,6}:{(190,1),(192,1),(221,1),(227,1),(230,1),(241,1),(243,1)}
       213:{2,3,6}:{(190,1),(191,1),(193,1),(228,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(224,1),(231,1),(233,1),(242,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,6}:{(204,1),(207,1),(234,1)}
       222:{2,3,6}:{(204,1),(205,1),(208,1),(234,1),(235,1)}
       223:{1,3,4,6}:{(205,1),(206,1),(209,1),(215,1),(235,1),(236,1)}
       224:{1,4,5}:{(206,1),(216,1),(236,1),(240,1)}
       225:{1,3,5,7}:{(207,1),(208,1),(214,1),(234,1),(237,1),(238,1),(244,1)}
       226:{2,4,7}:{(208,1),(209,1),(235,1),(237,1),(239,1)}
       227:{1,2,5}:{(210,1),(212,1),(238,1),(244,1)}
       228:{2,3,5}:{(210,1),(211,1),(213,1),(238,1),(239,1)}
       229:{1,3,4}:{(211,1),(239,1)}
       230:{1,3,6}:{(212,1),(213,1),(214,1),(238,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,6}:{(221,1),(222,1),(225,1),(241,1)}
       235:{2,4,6}:{(222,1),(223,1),(226,1),(241,1),(242,1)}
       236:{1,3,5}:{(223,1),(224,1),(231,1),(242,1)}
       237:{1,4,7}:{(225,1),(226,1),(241,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(230,1),(243,1)}
       239:{2,4}:{(228,1),(229,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4,6}:{(234,1),(235,1),(237,1),(244,1)}
       242:{2,5}:{(235,1),(236,1),(244,1)}
       243:{1,4}:{(238,1),(239,1)}
       244:{1,5}:{(241,1),(242,1)}

1237 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1238 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1239 :   0:{1,2,6,7}:{(3,1),(4,1),(158,1),(246,1),(303,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(82,1),(138,1),(158,1),(162,1),(224,1),(241,1),(303,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(29,1),(33,1),(82,1),(87,1),(139,1),(155,1),(224,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(114,1),(262,1),(339,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(13,1),(14,1),(115,1),(177,1),(206,1),(282,1)}
         5:{1,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(16,1),(47,1),(52,1),(98,1),(114,1),(180,1),(262,1),(267,1),(339,1),(393,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(53,1),(123,1),(200,1),(277,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(20,1),(219,1),(247,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(136,1),(163,1),(219,1),(223,1),(241,1),(247,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(146,1),(158,1),(219,1),(318,1),(319,1),(375,1)}
        11:{2,3,5,6}:{(5,1),(21,1),(24,1),(25,1),(31,1),(65,1),(67,1),(71,1),(82,1),(136,1),(146,1),(158,1),(219,1),(241,1),(242,1),(316,1),(319,1),(374,1),(380,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(27,1),(76,1),(369,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(133,1),(220,1)}
        14:{1,2,4,7}:{(4,1),(6,1),(27,1),(28,1),(78,1),(165,1),(243,1),(315,1)}
        15:{1,4,6}:{(5,1),(25,1),(27,1),(29,1),(307,1)}
        16:{1,3,6}:{(6,1),(7,1),(28,1),(31,1),(316,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(82,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(174,1),(203,1),(288,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(37,1),(38,1),(117,1),(175,1),(265,1),(282,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(37,1),(39,1),(40,1),(54,1),(91,1),(96,1),(120,1),(174,1),(203,1),(208,1),(288,1),(358,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(97,1),(258,1),(277,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(43,1),(103,1),(353,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(43,1),(50,1),(94,1),(104,1),(115,1),(175,1),(282,1),(350,1),(396,1)}
        25:{2,4,6}:{(11,1),(15,1),(39,1),(43,1),(44,1),(45,1),(284,1),(397,1)}
        26:{1,5,7}:{(12,1),(42,1),(47,1),(393,1)}
        27:{1,4,7}:{(13,1),(15,1),(43,1)}
        28:{1,3,7}:{(14,1),(16,1),(50,1),(350,1)}
        29:{1,4,5}:{(15,1),(44,1),(52,1),(180,1),(393,1)}
        30:{1,3,4,6}:{(15,1),(16,1),(17,1),(45,1),(49,1),(52,1),(53,1),(114,1)}
        31:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(52,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(120,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(63,1),(127,1),(136,1),(163,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(61,1),(130,1),(326,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(61,1),(62,1),(79,1),(159,1)}
        38:{1,2,4,7}:{(20,1),(22,1),(61,1),(62,1),(132,1),(299,1),(315,1),(363,1)}
        39:{1,4,6}:{(21,1),(25,1),(61,1),(63,1),(251,1)}
        40:{1,3,6}:{(22,1),(59,1),(62,1),(65,1),(316,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(69,1),(141,1),(146,1),(375,1),(376,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(67,1),(380,1)}
        43:{2,4,7}:{(24,1),(25,1),(27,1),(61,1),(69,1),(411,1)}
        44:{2,4,5}:{(25,1),(29,1),(63,1),(71,1),(82,1),(136,1),(380,1),(412,1)}
        45:{3,4,6}:{(25,1),(69,1),(71,1),(146,1),(316,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,5,6}:{(26,1),(67,1),(76,1)}
        48:{1,4,5,7}:{(26,1),(27,1),(29,1),(68,1),(76,1),(77,1),(220,1)}
        49:{1,3,4,7}:{(27,1),(28,1),(30,1),(69,1),(77,1),(78,1)}
        50:{2,3,7}:{(28,1),(31,1),(78,1),(79,1),(243,1)}
        51:{1,4,5,6}:{(29,1),(70,1),(76,1),(80,1),(81,1),(223,1),(234,1),(311,1),(328,1),(384,1)}
        52:{1,3,5}:{(29,1),(30,1),(71,1),(82,1)}
        53:{2,4,6}:{(30,1),(31,1),(33,1),(78,1),(82,1),(83,1),(158,1)}
        54:{1,3,6}:{(31,1),(34,1),(79,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(81,1),(85,1),(86,1),(143,1),(154,1),(234,1),(316,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(82,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(91,1),(358,1)}
        61:{1,4,7}:{(37,1),(39,1),(43,1)}
        62:{1,3,7}:{(38,1),(40,1),(94,1),(350,1)}
        63:{1,4,5}:{(39,1),(44,1),(96,1),(120,1),(358,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(89,1),(93,1),(96,1),(97,1),(174,1)}
        65:{2,3,6}:{(40,1),(90,1),(94,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(399,1)}
        67:{2,5,6}:{(42,1),(47,1),(91,1),(99,1),(103,1)}
        68:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(92,1),(100,1),(103,1),(104,1),(115,1),(175,1)}
        69:{3,4,7}:{(43,1),(45,1),(104,1),(350,1)}
        70:{2,4,5,6}:{(44,1),(51,1),(95,1),(103,1),(106,1),(107,1),(119,1),(179,1),(184,1),(189,1),(272,1),(277,1),(346,1),(355,1),(397,1),(402,1)}
        71:{3,5}:{(44,1),(45,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(53,1),(97,1),(105,1),(108,1),(109,1),(110,1),(168,1),(189,1),(192,1),(198,1),(254,1),(284,1),(286,1),(351,1),(353,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(47,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,6}:{(47,1),(48,1),(103,1),(114,1),(262,1)}
        77:{1,3,5,7}:{(48,1),(49,1),(52,1),(104,1),(114,1),(115,1)}
        78:{2,4,7}:{(49,1),(50,1),(53,1),(115,1),(116,1)}
        79:{1,3,7}:{(50,1),(54,1),(116,1),(117,1)}
        80:{1,4,5,7}:{(51,1),(106,1),(113,1),(118,1),(265,1),(276,1),(345,1)}
        81:{1,3,5,6}:{(51,1),(52,1),(55,1),(107,1),(114,1),(118,1),(119,1),(293,1),(360,1)}
        82:{2,5}:{(52,1),(53,1),(120,1)}
        83:{1,4,6}:{(53,1),(54,1),(57,1),(116,1),(120,1),(203,1)}
        84:{1,2,6}:{(54,1),(58,1),(117,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(118,1),(122,1),(188,1),(199,1),(276,1),(350,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(119,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(120,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(136,1),(297,1),(298,1)}
        91:{1,5,6}:{(60,1),(67,1),(130,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(63,1),(68,1),(130,1),(131,1),(159,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(69,1),(131,1),(132,1)}
        94:{2,3,7}:{(62,1),(65,1),(132,1),(133,1),(363,1)}
        95:{1,4,5,6}:{(63,1),(70,1),(130,1),(134,1),(135,1),(162,1),(234,1),(311,1),(371,1),(410,1)}
        96:{1,3,5}:{(63,1),(64,1),(71,1),(136,1)}
        97:{2,4,6}:{(64,1),(65,1),(127,1),(132,1),(136,1),(137,1),(219,1)}
        98:{1,3,6}:{(65,1),(128,1),(133,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(67,1),(141,1),(146,1)}
       100:{4,5,7}:{(66,1),(141,1),(411,1),(412,1)}
       101:{3,4,5}:{(71,1),(143,1),(144,1),(317,1),(378,1),(412,1)}
       102:{2,5,6,7}:{(67,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,6}:{(67,1),(68,1),(76,1),(130,1),(141,1),(146,1),(158,1),(219,1)}
       104:{3,5,7}:{(68,1),(69,1),(71,1),(146,1)}
       105:{2,3,4,7}:{(69,1),(72,1),(78,1),(132,1),(147,1),(148,1),(153,1),(233,1),(239,1),(295,1),(320,1),(323,1),(377,1),(406,1)}
       106:{2,4,5,7}:{(70,1),(80,1),(134,1),(145,1),(149,1),(161,1),(222,1),(228,1),(233,1),(310,1),(315,1),(373,1),(411,1)}
       107:{3,5,6}:{(70,1),(71,1),(143,1),(146,1),(149,1),(316,1),(378,1),(414,1)}
       108:{2,3,5}:{(71,1),(72,1),(82,1),(136,1),(144,1),(151,1),(324,1),(378,1),(380,1),(407,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(83,1),(137,1),(148,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(234,1),(237,1),(251,1),(296,1),(307,1),(309,1),(316,1),(317,1),(326,1),(369,1),(376,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(316,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(80,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,6}:{(76,1),(77,1),(146,1),(158,1)}
       115:{2,5,7}:{(77,1),(78,1),(82,1),(158,1),(159,1)}
       116:{1,4,7}:{(78,1),(79,1),(83,1),(159,1)}
       117:{1,2,7}:{(79,1),(84,1),(243,1)}
       118:{1,3,5,7}:{(80,1),(81,1),(85,1),(149,1),(157,1),(161,1)}
       119:{2,5,6}:{(81,1),(82,1),(86,1),(158,1),(161,1),(162,1),(324,1),(382,1)}
       120:{1,5}:{(82,1),(83,1)}
       121:{1,2,4,6}:{(83,1),(84,1),(88,1),(152,1),(160,1),(163,1),(164,1),(247,1),(251,1),(294,1),(326,1),(361,1),(405,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(161,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(163,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(328,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(96,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(180,1),(260,1)}
       129:{1,5,6,7}:{(91,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,6}:{(91,1),(92,1),(103,1),(174,1),(203,1)}
       131:{1,3,5,7}:{(92,1),(93,1),(96,1),(104,1),(174,1),(175,1)}
       132:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(176,1)}
       133:{1,3,7}:{(94,1),(98,1),(176,1),(177,1)}
       134:{1,4,5,7}:{(95,1),(106,1),(173,1),(178,1),(206,1),(276,1),(345,1)}
       135:{1,3,5,6}:{(95,1),(96,1),(107,1),(169,1),(174,1),(178,1),(179,1),(391,1),(419,1)}
       136:{2,5}:{(96,1),(97,1),(180,1)}
       137:{1,4,6}:{(97,1),(98,1),(171,1),(176,1),(180,1),(262,1)}
       138:{1,2,6}:{(98,1),(172,1),(177,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(185,1),(191,1),(271,1),(396,1),(422,1)}
       141:{4,6}:{(99,1),(100,1)}
       142:{3,4,5,7}:{(100,1),(101,1),(104,1),(186,1),(187,1),(188,1),(271,1),(349,1),(399,1),(400,1),(421,1)}
       143:{3,4,6}:{(101,1),(107,1),(188,1),(189,1),(397,1)}
       144:{2,4,5}:{(101,1),(108,1),(189,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(106,1),(113,1),(173,1),(185,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,6}:{(103,1),(104,1)}
       147:{2,3,5,7}:{(104,1),(105,1),(108,1),(115,1),(175,1),(187,1),(192,1),(193,1),(356,1),(400,1),(418,1)}
       148:{1,3,4,7}:{(105,1),(109,1),(116,1),(176,1),(193,1),(194,1),(199,1),(205,1),(264,1),(276,1),(289,1),(332,1),(340,1),(343,1),(349,1),(350,1),(416,1)}
       149:{3,5,7}:{(106,1),(107,1),(188,1),(191,1),(350,1)}
       150:{2,3,5,6}:{(107,1),(108,1),(110,1),(119,1),(179,1),(189,1),(192,1),(195,1),(196,1),(254,1),(272,1)}
       151:{1,3,5}:{(108,1),(109,1),(120,1),(180,1),(190,1),(197,1),(278,1),(344,1),(358,1),(393,1),(399,1),(417,1)}
       152:{2,4,6}:{(109,1),(112,1),(194,1),(197,1),(198,1),(200,1),(256,1),(280,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(350,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(118,1),(191,1),(202,1),(360,1)}
       158:{2,6}:{(114,1),(115,1),(203,1)}
       159:{1,5,7}:{(115,1),(116,1),(120,1),(203,1)}
       160:{1,2,4,7}:{(116,1),(117,1),(121,1),(194,1),(204,1),(205,1),(289,1),(385,1),(416,1)}
       161:{2,5,7}:{(118,1),(119,1),(122,1),(202,1),(206,1)}
       162:{1,5,6}:{(119,1),(120,1),(123,1),(203,1),(206,1),(344,1),(395,1)}
       163:{1,2,5}:{(120,1),(121,1),(197,1),(208,1),(358,1),(417,1)}
       164:{1,3,6}:{(121,1),(125,1),(198,1),(205,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(206,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(207,1),(209,1),(210,1),(277,1),(286,1),(291,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(135,1),(143,1),(214,1),(215,1),(234,1),(296,1),(316,1)}
       170:{2,4,5}:{(126,1),(127,1),(136,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(134,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,6}:{(130,1),(131,1),(146,1),(219,1)}
       175:{2,5,7}:{(131,1),(132,1),(136,1),(219,1),(220,1)}
       176:{1,4,7}:{(132,1),(133,1),(137,1),(220,1)}
       177:{1,2,7}:{(133,1),(138,1),(363,1)}
       178:{1,3,5,7}:{(134,1),(135,1),(149,1),(214,1),(218,1),(222,1)}
       179:{2,5,6}:{(135,1),(136,1),(215,1),(219,1),(222,1),(223,1),(407,1),(424,1)}
       180:{1,5}:{(136,1),(137,1)}
       181:{1,2,4,6}:{(137,1),(138,1),(139,1),(152,1),(217,1),(221,1),(224,1),(225,1),(226,1),(303,1),(307,1),(309,1),(369,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,5,6}:{(141,1),(228,1),(229,1),(412,1),(425,1)}
       185:{4,6,7}:{(140,1),(141,1),(228,1),(411,1),(425,1)}
       186:{3,4,6}:{(141,1),(142,1),(146,1),(229,1),(231,1),(414,1),(425,1)}
       187:{2,4,5,7}:{(142,1),(144,1),(147,1),(231,1),(232,1),(233,1),(310,1),(320,1),(380,1)}
       188:{3,4,7}:{(143,1),(149,1),(233,1),(411,1)}
       189:{2,4,6}:{(143,1),(144,1),(150,1),(233,1),(234,1)}
       190:{1,4,5}:{(144,1),(151,1),(234,1),(235,1),(251,1),(307,1),(412,1)}
       191:{3,6,7}:{(145,1),(146,1),(149,1),(414,1)}
       192:{2,3,6}:{(146,1),(147,1),(158,1),(219,1),(231,1),(237,1),(382,1),(414,1),(424,1)}
       193:{1,3,5,7}:{(147,1),(148,1),(151,1),(159,1),(220,1),(232,1),(237,1),(238,1),(314,1),(372,1),(423,1)}
       194:{2,4,7}:{(148,1),(152,1),(238,1),(239,1),(243,1),(363,1)}
       195:{2,3,5,7}:{(149,1),(150,1),(153,1),(161,1),(222,1),(233,1),(236,1),(240,1),(295,1),(310,1)}
       196:{1,3,5,6}:{(150,1),(151,1),(154,1),(162,1),(223,1),(234,1),(237,1),(240,1),(241,1),(296,1),(311,1),(316,1),(374,1)}
       197:{2,5}:{(151,1),(152,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(239,1),(242,1),(298,1),(316,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(161,1),(246,1),(382,1)}
       203:{1,6}:{(158,1),(159,1)}
       204:{1,2,5,7}:{(159,1),(160,1),(163,1),(238,1),(247,1),(248,1),(423,1)}
       205:{1,3,7}:{(160,1),(164,1),(239,1)}
       206:{1,5,7}:{(161,1),(162,1),(165,1),(246,1)}
       207:{1,2,5,6}:{(162,1),(163,1),(166,1),(241,1),(247,1),(249,1),(250,1),(324,1),(361,1),(382,1)}
       208:{1,3,5}:{(163,1),(164,1),(242,1),(251,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(249,1),(252,1),(315,1),(323,1),(327,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(316,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(178,1),(188,1),(257,1),(276,1),(332,1),(350,1)}
       215:{2,4,6}:{(169,1),(170,1),(179,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(180,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(178,1),(191,1),(261,1),(419,1)}
       219:{2,6}:{(174,1),(175,1),(262,1)}
       220:{1,5,7}:{(175,1),(176,1),(180,1),(262,1)}
       221:{1,2,4,7}:{(176,1),(177,1),(181,1),(194,1),(263,1),(264,1),(268,1),(340,1),(343,1)}
       222:{2,5,7}:{(178,1),(179,1),(257,1),(261,1),(265,1)}
       223:{1,5,6}:{(179,1),(180,1),(258,1),(262,1),(265,1),(417,1),(426,1)}
       224:{1,2,5}:{(180,1),(181,1),(197,1),(267,1),(344,1),(393,1)}
       225:{1,3,6}:{(181,1),(183,1),(198,1),(260,1),(264,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(185,1),(271,1)}
       229:{3,5,6}:{(184,1),(186,1),(271,1),(272,1),(399,1)}
       230:{3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(271,1),(273,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(272,1),(274,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(274,1),(275,1),(276,1),(289,1),(340,1),(345,1),(358,1),(393,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(276,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(276,1),(277,1),(397,1)}
       235:{2,4,5}:{(190,1),(197,1),(277,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(202,1),(261,1),(273,1),(279,1)}
       237:{1,3,6}:{(192,1),(193,1),(203,1),(262,1),(274,1),(280,1),(348,1),(395,1),(426,1)}
       238:{2,5,7}:{(193,1),(194,1),(197,1),(280,1)}
       239:{2,3,7}:{(194,1),(198,1),(205,1),(264,1),(350,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(199,1),(206,1),(265,1),(276,1),(279,1),(282,1),(332,1),(345,1),(350,1),(396,1)}
       241:{2,5,6}:{(196,1),(197,1),(200,1),(277,1),(280,1),(282,1),(333,1)}
       242:{2,3,5}:{(197,1),(198,1),(208,1),(267,1),(278,1),(284,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(206,1),(395,1)}
       247:{1,2,6}:{(203,1),(204,1),(280,1),(288,1),(426,1)}
       248:{1,3,5,7}:{(204,1),(205,1),(208,1),(281,1),(288,1),(289,1),(358,1)}
       249:{1,2,5,7}:{(206,1),(207,1),(209,1),(282,1),(287,1),(290,1),(356,1),(385,1)}
       250:{1,3,5,6}:{(207,1),(208,1),(210,1),(283,1),(288,1),(290,1),(291,1),(293,1),(358,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       251:{1,4}:{(208,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(350,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(291,1),(292,1),(293,1),(351,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(316,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(222,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(223,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(224,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(371,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(222,1),(302,1),(424,1)}
       262:{1,6}:{(219,1),(220,1)}
       263:{1,2,5,7}:{(220,1),(221,1),(224,1),(238,1),(303,1),(304,1),(372,1)}
       264:{1,3,7}:{(221,1),(225,1),(239,1)}
       265:{1,5,7}:{(222,1),(223,1),(299,1),(302,1)}
       266:{1,2,5,6}:{(223,1),(224,1),(226,1),(241,1),(300,1),(303,1),(305,1),(306,1),(407,1),(424,1)}
       267:{1,3,5}:{(224,1),(225,1),(242,1),(307,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(230,1),(310,1)}
       272:{2,5,6}:{(229,1),(231,1),(310,1),(311,1),(380,1)}
       273:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(310,1),(312,1)}
       274:{1,4,6}:{(231,1),(232,1),(237,1),(311,1),(313,1)}
       275:{2,4,5,7}:{(232,1),(235,1),(238,1),(313,1),(314,1),(315,1),(320,1),(373,1),(380,1),(411,1),(412,1)}
       276:{1,4,7}:{(233,1),(234,1),(240,1),(315,1),(411,1)}
       277:{2,4,6}:{(234,1),(235,1),(241,1),(315,1),(316,1)}
       278:{3,5}:{(235,1),(316,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(240,1),(246,1),(302,1),(312,1),(318,1),(375,1)}
       280:{2,6}:{(237,1),(238,1)}
       281:{2,3,5,7}:{(238,1),(239,1),(242,1),(248,1),(304,1),(314,1),(319,1),(320,1),(380,1)}
       282:{2,5,7}:{(240,1),(241,1),(243,1),(315,1),(318,1),(363,1)}
       283:{2,3,5,6}:{(241,1),(242,1),(244,1),(250,1),(306,1),(316,1),(319,1),(321,1),(322,1),(324,1),(364,1),(374,1),(378,1),(380,1),(382,1),(407,1),(414,1),(415,1),(424,1)}
       284:{2,4}:{(242,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,6}:{(247,1),(248,1),(319,1),(326,1)}
       289:{1,4,7}:{(248,1),(251,1),(320,1),(326,1)}
       290:{1,3,5,7}:{(249,1),(250,1),(252,1),(321,1),(325,1),(327,1),(383,1),(404,1),(423,1)}
       291:{1,4,6}:{(250,1),(251,1),(322,1),(327,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(327,1),(329,1),(377,1)}
       293:{1,3,5}:{(253,1),(324,1),(328,1),(378,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(350,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(265,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(266,1),(277,1),(333,1),(335,1),(336,1),(342,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(265,1),(426,1)}
       303:{1,2,6}:{(262,1),(263,1),(280,1),(339,1),(395,1)}
       304:{1,3,5,7}:{(263,1),(264,1),(267,1),(281,1),(339,1),(340,1),(393,1)}
       305:{1,2,5,7}:{(265,1),(266,1),(268,1),(282,1),(335,1),(338,1),(341,1),(418,1)}
       306:{1,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(336,1),(339,1),(341,1),(342,1),(344,1),(391,1),(393,1),(395,1),(419,1),(420,1)}
       307:{1,4}:{(267,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(273,1),(345,1)}
       311:{1,5,6}:{(272,1),(274,1),(345,1),(346,1),(358,1),(393,1)}
       312:{1,4,6,7}:{(273,1),(274,1),(276,1),(279,1),(345,1),(347,1)}
       313:{2,4,6}:{(274,1),(275,1),(280,1),(346,1),(348,1),(397,1)}
       314:{3,5,7}:{(275,1),(278,1),(348,1),(349,1),(350,1),(399,1)}
       315:{2,4,7}:{(276,1),(277,1),(282,1),(350,1)}
       316:{3,6}:{(277,1),(278,1),(350,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,6}:{(280,1),(281,1),(288,1),(339,1),(348,1),(353,1)}
       320:{2,4,7}:{(281,1),(284,1),(289,1),(340,1),(349,1),(353,1)}
       321:{2,3,5,7}:{(282,1),(283,1),(285,1),(290,1),(341,1),(350,1),(352,1),(354,1),(356,1),(388,1),(396,1),(400,1),(401,1),(418,1)}
       322:{2,4,6}:{(283,1),(284,1),(291,1),(342,1),(351,1),(354,1),(355,1),(397,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,6}:{(288,1),(289,1),(353,1),(358,1)}
       327:{1,4,7}:{(290,1),(291,1),(354,1)}
       328:{1,4,5}:{(291,1),(293,1),(355,1),(358,1),(417,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(359,1),(360,1),(400,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(305,1),(315,1),(363,1),(366,1),(370,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(316,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,6}:{(303,1),(304,1),(319,1),(369,1)}
       340:{1,4,7}:{(304,1),(307,1),(320,1),(369,1)}
       341:{1,3,5,7}:{(305,1),(306,1),(308,1),(321,1),(366,1),(368,1),(370,1),(372,1),(409,1)}
       342:{1,4,6}:{(306,1),(307,1),(322,1),(370,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(312,1),(373,1)}
       346:{2,5,6}:{(311,1),(313,1),(373,1),(374,1),(380,1)}
       347:{2,4,6,7}:{(312,1),(313,1),(315,1),(318,1),(373,1),(375,1),(411,1)}
       348:{3,6}:{(313,1),(314,1)}
       349:{3,4,7}:{(314,1),(317,1),(320,1),(376,1),(411,1)}
       350:{3,7}:{(315,1),(316,1)}
       351:{3,4,6}:{(316,1),(317,1),(322,1),(377,1),(378,1),(414,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(375,1),(379,1),(382,1),(414,1),(424,1)}
       353:{2,4,6}:{(319,1),(320,1),(326,1),(369,1),(376,1),(380,1)}
       354:{2,4,7}:{(321,1),(322,1),(327,1),(370,1),(377,1),(411,1)}
       355:{2,4,5}:{(322,1),(324,1),(328,1),(371,1),(378,1),(380,1),(407,1),(412,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(327,1),(379,1),(383,1),(384,1)}
       358:{1,5}:{(326,1),(380,1)}
       359:{1,4,5,7}:{(327,1),(328,1),(329,1),(381,1),(383,1),(384,1),(423,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(414,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(350,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(342,1),(351,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,6}:{(339,1),(340,1),(353,1),(393,1)}
       370:{1,4,7}:{(341,1),(342,1),(354,1)}
       371:{1,4,5}:{(342,1),(344,1),(355,1),(391,1),(393,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(347,1),(396,1)}
       374:{3,5,6}:{(346,1),(348,1),(396,1),(397,1),(399,1)}
       375:{3,6,7}:{(347,1),(348,1),(350,1),(396,1)}
       376:{3,4,6}:{(348,1),(349,1),(353,1),(397,1),(399,1)}
       377:{3,4,7}:{(350,1),(351,1),(354,1),(400,1)}
       378:{3,5}:{(351,1),(355,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(354,1),(357,1),(392,1),(398,1),(401,1),(402,1)}
       380:{2,5}:{(353,1),(358,1),(393,1),(399,1)}
       381:{2,4,5,7}:{(354,1),(355,1),(356,1),(359,1),(394,1),(400,1),(401,1),(402,1),(418,1),(421,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(358,1),(401,1),(403,1)}
       384:{1,4,6}:{(359,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(370,1),(377,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(371,1),(378,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(370,1),(379,1),(409,1),(410,1)}
       393:{1,5}:{(369,1),(380,1)}
       394:{1,4,5,7}:{(370,1),(371,1),(372,1),(381,1),(408,1),(409,1),(410,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(375,1),(411,1)}
       397:{4,6}:{(374,1),(411,1),(412,1)}
       398:{3,4,6,7}:{(375,1),(376,1),(377,1),(379,1),(411,1),(413,1),(414,1),(425,1)}
       399:{3,5}:{(376,1),(380,1),(412,1)}
       400:{3,5,7}:{(377,1),(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(380,1),(383,1),(409,1),(413,1),(415,1)}
       402:{2,4,6}:{(381,1),(382,1),(384,1),(410,1),(414,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(393,1),(401,1),(420,1)}
       410:{1,4,6}:{(394,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(397,1)}
       412:{4,5}:{(397,1),(399,1)}
       413:{3,5,7}:{(398,1),(399,1),(401,1),(421,1),(422,1)}
       414:{3,6}:{(400,1),(402,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(414,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(413,1),(425,1)}
       422:{3,5,6}:{(413,1),(414,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

1240 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1241 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1242 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1243 :   0:{1,2,5,6,7}:{(2,1),(3,1),(40,1),(44,1),(80,1),(83,1),(88,1),(113,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(40,1),(46,1),(113,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(24,1),(28,1),(60,1),(66,1),(92,1),(105,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(101,1),(108,1),(131,1),(139,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(40,1),(71,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(87,1),(112,1),(125,1)}
         7:{1,2,4,5,7}:{(3,1),(12,1),(13,1),(15,1),(40,1),(42,1),(82,1),(83,1),(89,1),(114,1),(123,1),(125,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(120,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(13,1),(17,1),(18,1),(40,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(150,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(55,1),(58,1),(97,1),(101,1),(102,1),(108,1),(131,1),(135,1),(137,1),(139,1),(141,1),(147,1),(163,1),(174,1)}
        13:{1,4,5,7}:{(6,1),(9,1),(20,1),(23,1),(24,1),(60,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(21,1),(24,1),(25,1),(26,1),(57,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(22,1),(26,1),(27,1),(110,1),(133,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(27,1),(28,1),(100,1),(139,1)}
        17:{2,4,5,6}:{(9,1),(23,1),(29,1),(58,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(25,1),(31,1),(32,1),(62,1),(65,1),(95,1),(100,1),(134,1),(162,1),(167,1)}
        20:{2,4,5,7}:{(11,1),(13,1),(33,1),(34,1),(40,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(130,1)}
        22:{1,3,5,6}:{(12,1),(15,1),(36,1),(37,1),(116,1),(120,1),(128,1),(148,1),(154,1),(161,1),(170,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(33,1),(38,1),(80,1),(87,1),(112,1),(158,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(34,1),(38,1),(40,1)}
        25:{2,4,6,7}:{(14,1),(16,1),(40,1),(41,1),(42,1),(79,1)}
        26:{1,3,4,7}:{(15,1),(36,1),(42,1),(125,1),(130,1),(150,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(37,1),(40,1),(42,1),(43,1),(123,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(41,1),(43,1),(44,1),(120,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(150,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(40,1),(46,1),(47,1),(48,1),(170,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(41,1),(48,1),(49,1),(84,1),(85,1),(87,1),(120,1),(125,1),(128,1),(130,1),(157,1),(172,1)}
        33:{2,4,5,6}:{(20,1),(23,1),(50,1),(58,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(50,1)}
        35:{2,3,4,6,7}:{(21,1),(25,1),(52,1),(53,1),(62,1),(69,1),(91,1),(100,1),(111,1),(146,1),(167,1)}
        36:{1,3,4,6}:{(22,1),(26,1),(54,1),(55,1),(141,1),(146,1),(162,1)}
        37:{2,3,5,6}:{(22,1),(27,1),(55,1),(56,1),(58,1),(96,1),(100,1),(135,1),(138,1),(139,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(29,1),(50,1),(57,1),(58,1),(168,1)}
        39:{1,3,4,5,7}:{(24,1),(26,1),(30,1),(51,1),(54,1),(57,1),(59,1),(67,1),(93,1),(103,1),(110,1),(133,1),(144,1),(168,1)}
        40:{2,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        41:{1,4,6,7}:{(25,1),(28,1),(60,1),(63,1),(101,1)}
        42:{2,4,7}:{(26,1),(27,1),(55,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(56,1),(60,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(139,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(58,1),(65,1),(66,1),(100,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(134,1),(163,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(60,1),(66,1),(67,1),(68,1),(110,1),(168,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(139,1),(167,1)}
        50:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        51:{3,4,5,7}:{(34,1),(70,1),(72,1),(130,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(40,1),(71,1),(72,1),(73,1),(161,1),(173,1)}
        53:{1,3,4,6,7}:{(35,1),(41,1),(73,1),(74,1),(84,1),(85,1),(112,1),(120,1),(125,1),(148,1),(150,1),(157,1),(172,1)}
        54:{1,3,4,5}:{(36,1),(75,1),(116,1),(153,1),(158,1),(161,1),(170,1)}
        55:{2,4,6}:{(36,1),(37,1),(42,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(37,1),(43,1),(77,1),(78,1),(80,1),(116,1),(119,1),(120,1)}
        57:{1,3,4,6}:{(38,1),(39,1),(45,1),(70,1),(79,1),(87,1),(112,1),(120,1),(128,1),(148,1)}
        58:{2,5,6}:{(38,1),(40,1),(79,1),(80,1),(173,1)}
        59:{2,4,5,7}:{(39,1),(40,1),(42,1),(75,1),(79,1),(81,1),(82,1),(123,1),(160,1),(173,1)}
        60:{1,5,7}:{(40,1),(41,1),(80,1)}
        61:{1,2,4,6,7}:{(41,1),(44,1),(49,1),(74,1),(83,1),(84,1),(86,1),(121,1),(125,1),(126,1),(155,1),(172,1)}
        62:{2,3,4,7}:{(42,1),(76,1),(81,1),(85,1),(127,1),(130,1),(150,1),(160,1)}
        63:{1,4,7}:{(42,1),(43,1),(77,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(78,1),(86,1),(123,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(80,1),(87,1),(88,1),(120,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(125,1),(158,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(84,1),(90,1),(127,1),(128,1),(156,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(58,1),(91,1),(92,1),(100,1)}
        72:{2,4,5,7}:{(51,1),(52,1),(91,1),(93,1),(111,1),(147,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(60,1),(92,1),(93,1),(94,1),(133,1),(168,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(106,1),(131,1),(134,1),(139,1),(167,1)}
        75:{2,4,5}:{(54,1),(55,1),(96,1),(97,1),(135,1),(165,1)}
        76:{2,3,4,6}:{(55,1),(62,1),(96,1),(98,1),(100,1),(138,1),(146,1),(162,1),(165,1),(167,1)}
        77:{1,4,6}:{(55,1),(56,1),(63,1),(97,1)}
        78:{1,2,5,6}:{(56,1),(64,1),(99,1),(135,1),(139,1)}
        79:{2,4,6}:{(57,1),(58,1),(59,1),(100,1),(101,1),(139,1)}
        80:{1,5,6}:{(58,1),(60,1),(101,1),(174,1)}
        81:{2,3,5,7}:{(59,1),(62,1),(96,1),(100,1),(103,1),(110,1),(133,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(97,1),(101,1),(103,1),(169,1),(174,1)}
        83:{1,2,5,7}:{(60,1),(61,1),(68,1),(94,1),(102,1),(105,1),(174,1)}
        84:{1,3,6,7}:{(61,1),(69,1),(95,1),(105,1),(107,1),(140,1),(145,1),(166,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(98,1),(103,1),(106,1),(107,1),(145,1),(169,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(99,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(139,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(105,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,3,5,6}:{(71,1),(73,1),(80,1),(112,1),(113,1),(120,1),(148,1)}
        93:{1,4,5,7}:{(72,1),(73,1),(112,1),(114,1),(125,1),(158,1)}
        94:{2,5,7}:{(73,1),(74,1),(113,1),(173,1)}
        95:{2,3,6,7}:{(74,1),(84,1),(115,1),(127,1),(148,1),(156,1)}
        96:{2,3,5}:{(75,1),(76,1),(116,1),(161,1),(170,1),(173,1)}
        97:{1,4,5}:{(75,1),(77,1),(116,1),(171,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(85,1),(116,1),(118,1),(119,1),(120,1),(153,1),(154,1),(171,1),(172,1)}
        99:{1,2,4,6}:{(77,1),(78,1),(86,1),(117,1),(118,1),(119,1)}
       100:{2,3,6}:{(79,1),(81,1),(120,1),(128,1),(148,1)}
       101:{1,4,6}:{(79,1),(80,1),(82,1),(120,1)}
       102:{1,2,5,6}:{(80,1),(83,1),(88,1),(113,1),(121,1),(122,1),(155,1),(173,1)}
       103:{1,3,5,7}:{(81,1),(82,1),(85,1),(116,1),(120,1),(123,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(86,1),(89,1),(114,1),(117,1),(121,1),(123,1),(124,1),(125,1),(158,1),(160,1),(173,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(90,1),(115,1),(122,1),(125,1)}
       106:{2,4,7}:{(85,1),(118,1),(123,1),(127,1)}
       107:{1,3,7}:{(86,1),(119,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(122,1),(128,1),(129,1),(156,1),(161,1),(173,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(125,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,5,6}:{(92,1),(94,1),(131,1),(139,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(131,1),(133,1),(134,1),(163,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(105,1),(132,1),(133,1),(134,1)}
       116:{1,3,5}:{(96,1),(97,1),(98,1),(135,1),(174,1)}
       117:{1,2,4,5}:{(97,1),(99,1),(135,1),(136,1),(165,1)}
       118:{2,4,6}:{(98,1),(106,1),(135,1),(138,1),(139,1),(165,1)}
       119:{1,3,6}:{(99,1),(107,1),(136,1),(138,1)}
       120:{1,3,6}:{(100,1),(101,1),(103,1),(139,1)}
       121:{1,2,4,6}:{(101,1),(102,1),(104,1),(108,1),(131,1),(139,1),(140,1),(141,1),(167,1)}
       122:{1,3,5,6}:{(102,1),(105,1),(109,1),(132,1),(140,1),(141,1),(166,1),(168,1),(174,1)}
       123:{2,5,7}:{(103,1),(106,1),(135,1),(139,1)}
       124:{1,3,5,7}:{(104,1),(107,1),(110,1),(133,1),(136,1),(140,1),(143,1),(144,1),(168,1)}
       125:{1,4,7}:{(105,1),(111,1),(134,1),(141,1)}
       126:{1,2,4,7}:{(106,1),(137,1),(142,1),(145,1),(169,1)}
       127:{2,3,7}:{(106,1),(107,1),(138,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(141,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{2,3,5,6}:{(113,1),(115,1),(122,1),(148,1),(149,1),(156,1),(170,1),(173,1)}
       133:{3,5,7}:{(114,1),(148,1),(150,1),(170,1)}
       134:{2,4,7}:{(115,1),(125,1),(149,1),(150,1)}
       135:{2,5}:{(116,1),(118,1)}
       136:{1,3,5}:{(117,1),(119,1),(152,1),(153,1)}
       137:{1,2,4,6}:{(118,1),(126,1),(151,1),(154,1),(155,1),(171,1),(172,1)}
       138:{2,3,6}:{(118,1),(119,1),(127,1),(152,1),(154,1)}
       139:{2,6}:{(120,1),(123,1)}
       140:{1,3,6}:{(121,1),(124,1),(128,1),(148,1),(156,1)}
       141:{1,4,6}:{(122,1),(125,1),(129,1),(149,1),(158,1)}
       142:{1,2,5,7}:{(123,1),(126,1),(151,1),(155,1),(159,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(127,1),(152,1),(156,1),(159,1),(160,1),(173,1)}
       144:{1,3,4,7}:{(124,1),(125,1),(130,1),(150,1),(153,1),(157,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(154,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(158,1),(161,1),(173,1)}
       148:{3,6}:{(131,1),(133,1)}
       149:{2,4,6}:{(132,1),(134,1),(141,1),(162,1),(163,1)}
       150:{3,4,7}:{(133,1),(134,1),(162,1)}
       151:{1,2,5}:{(135,1),(137,1),(164,1),(174,1)}
       152:{2,3,5}:{(135,1),(136,1),(138,1),(164,1),(165,1)}
       153:{1,3,4}:{(136,1),(165,1)}
       154:{1,3,6}:{(137,1),(138,1),(145,1),(164,1)}
       155:{1,2,6}:{(139,1),(142,1),(166,1)}
       156:{2,3,6}:{(139,1),(140,1),(143,1),(166,1),(167,1)}
       157:{1,3,4,6}:{(140,1),(141,1),(144,1),(146,1),(162,1),(167,1),(168,1)}
       158:{1,4,5}:{(141,1),(147,1),(163,1),(168,1),(174,1)}
       159:{1,3,5,7}:{(142,1),(143,1),(145,1),(164,1),(166,1),(169,1),(174,1)}
       160:{2,4,7}:{(143,1),(144,1),(165,1),(167,1),(169,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(149,1),(158,1),(170,1),(173,1)}
       164:{1,3,5}:{(151,1),(152,1),(154,1),(171,1)}
       165:{2,4}:{(152,1),(153,1),(171,1)}
       166:{1,3,6}:{(155,1),(156,1),(159,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(160,1),(172,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(161,1),(170,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(171,1),(172,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(169,1),(174,1)}
       173:{2,5}:{(167,1),(168,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1244 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(20,1),(25,1),(62,1),(143,1),(152,1),(153,1),(156,1),(158,1),(220,1),(226,1),(228,1)}
         1:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(28,1),(32,1),(38,1),(41,1),(85,1),(95,1),(98,1),(100,1),(106,1),(179,1),(183,1),(192,1),(194,1),(235,1),(237,1),(244,1),(292,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(32,1),(41,1),(47,1),(98,1),(110,1),(115,1),(192,1),(194,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(11,1),(42,1),(114,1),(116,1),(185,1),(195,1),(249,1)}
         4:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(52,1),(57,1),(62,1),(143,1),(203,1),(204,1),(207,1),(209,1),(220,1),(262,1),(264,1)}
         5:{1,3,5,7}:{(1,1),(14,1),(15,1),(16,1),(62,1),(136,1),(214,1),(220,1),(226,1),(228,1),(262,1),(264,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(22,1),(54,1),(60,1),(68,1),(72,1),(125,1),(155,1),(206,1),(219,1),(304,1)}
         7:{2,3,5,7}:{(2,1),(19,1),(20,1),(21,1),(71,1),(220,1),(226,1),(228,1),(273,1)}
         8:{1,4,5,7}:{(2,1),(20,1),(22,1),(59,1),(77,1),(139,1),(152,1),(156,1)}
         9:{2,4,6}:{(2,1),(3,1),(21,1),(22,1),(24,1),(72,1)}
        10:{1,3,4,6,7}:{(3,1),(23,1),(25,1),(73,1),(82,1),(156,1),(158,1),(162,1),(228,1)}
        11:{1,3,5,6}:{(3,1),(24,1),(25,1),(26,1),(62,1),(81,1)}
        12:{2,4,5,7}:{(4,1),(27,1),(28,1),(29,1),(32,1),(85,1),(91,1),(98,1),(166,1),(171,1),(235,1),(237,1)}
        13:{1,3,4,6}:{(4,1),(29,1),(31,1),(86,1),(170,1),(172,1),(185,1),(238,1),(249,1)}
        14:{1,3,4,7}:{(5,1),(32,1),(33,1),(106,1),(190,1),(244,1),(254,1),(282,1)}
        15:{2,3,5,7}:{(5,1),(32,1),(34,1),(35,1),(41,1),(85,1),(98,1),(107,1),(163,1),(191,1),(234,1)}
        16:{1,3,6}:{(5,1),(6,1),(35,1),(195,1),(238,1),(249,1)}
        17:{1,2,4,6,7}:{(6,1),(36,1),(38,1),(45,1),(89,1),(97,1),(106,1),(111,1),(167,1),(194,1),(237,1)}
        18:{1,2,5,6}:{(6,1),(37,1),(38,1),(46,1),(90,1),(98,1),(112,1),(168,1),(179,1),(182,1),(294,1)}
        19:{2,3,4,7}:{(7,1),(32,1),(39,1),(40,1),(115,1),(163,1),(190,1),(252,1),(254,1),(257,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(39,1),(41,1),(42,1),(109,1),(292,1)}
        21:{2,3,6}:{(7,1),(9,1),(42,1),(195,1),(249,1),(291,1)}
        22:{1,4,6}:{(8,1),(9,1),(42,1),(46,1)}
        23:{2,4,6,7}:{(9,1),(10,1),(43,1),(45,1),(47,1),(111,1),(115,1),(194,1)}
        24:{2,5,6}:{(9,1),(11,1),(46,1),(47,1),(98,1)}
        25:{1,3,5,7}:{(10,1),(11,1),(47,1),(50,1),(121,1)}
        26:{1,4,5,6}:{(11,1),(48,1),(50,1),(100,1),(114,1),(185,1),(200,1)}
        27:{2,3,5,7}:{(12,1),(51,1),(52,1),(53,1),(124,1),(220,1),(262,1),(264,1),(273,1)}
        28:{1,4,5,7}:{(12,1),(52,1),(54,1),(59,1),(130,1),(139,1),(203,1),(207,1)}
        29:{2,4,6}:{(12,1),(13,1),(53,1),(54,1),(56,1),(125,1)}
        30:{1,3,4,6,7}:{(13,1),(55,1),(57,1),(126,1),(135,1),(207,1),(209,1),(213,1),(264,1)}
        31:{1,3,5,6}:{(13,1),(56,1),(57,1),(58,1),(62,1),(134,1)}
        32:{2,4,7}:{(14,1),(15,1),(59,1),(60,1),(225,1),(261,1)}
        33:{1,3,4,6}:{(14,1),(16,1),(60,1),(62,1),(68,1),(149,1)}
        34:{1,3,5,7}:{(15,1),(59,1),(63,1),(64,1),(136,1),(139,1),(214,1)}
        35:{2,3,6}:{(15,1),(16,1),(60,1),(64,1),(72,1),(125,1)}
        36:{1,3,6,7}:{(16,1),(17,1),(65,1),(67,1),(228,1),(264,1),(304,1)}
        37:{1,3,5,6}:{(16,1),(18,1),(62,1),(66,1),(67,1),(68,1),(214,1),(274,1),(276,1),(304,1)}
        38:{1,2,5,7}:{(17,1),(18,1),(67,1),(77,1),(130,1),(140,1),(154,1),(205,1),(305,1)}
        39:{1,3,4,7}:{(19,1),(20,1),(59,1),(69,1),(70,1),(136,1),(156,1),(228,1),(277,1),(280,1)}
        40:{2,3,4,6}:{(19,1),(21,1),(60,1),(70,1),(71,1),(76,1),(149,1),(201,1),(224,1),(229,1),(261,1),(278,1)}
        41:{2,5,7}:{(20,1),(69,1),(72,1),(151,1)}
        42:{1,3,6}:{(20,1),(21,1),(22,1),(72,1),(304,1)}
        43:{2,3,6,7}:{(21,1),(23,1),(73,1),(75,1),(162,1),(228,1),(232,1)}
        44:{2,3,5,6}:{(21,1),(24,1),(71,1),(74,1),(75,1),(76,1),(81,1),(161,1),(229,1)}
        45:{1,4,6,7}:{(22,1),(23,1),(73,1),(77,1),(156,1)}
        46:{1,5,6}:{(22,1),(24,1),(77,1),(139,1)}
        47:{2,5,7}:{(23,1),(24,1),(25,1),(77,1)}
        48:{2,4,5,6}:{(24,1),(26,1),(76,1),(78,1),(80,1),(81,1),(141,1),(155,1),(161,1),(219,1)}
        49:{1,3,5,6,7}:{(25,1),(79,1),(82,1),(142,1),(162,1)}
        50:{1,4,5,7}:{(25,1),(26,1),(80,1),(82,1),(156,1),(233,1)}
        51:{2,3,4,7}:{(27,1),(32,1),(83,1),(84,1),(107,1),(171,1),(190,1),(252,1),(282,1),(285,1)}
        52:{1,3,5,7}:{(27,1),(28,1),(83,1),(85,1),(86,1),(165,1),(292,1)}
        53:{2,3,6}:{(27,1),(29,1),(86,1),(238,1),(249,1),(291,1)}
        54:{1,4,6}:{(28,1),(29,1),(86,1),(90,1)}
        55:{2,4,6,7}:{(29,1),(30,1),(87,1),(89,1),(91,1),(167,1),(171,1),(237,1)}
        56:{2,5,6}:{(29,1),(31,1),(90,1),(91,1),(98,1)}
        57:{1,3,5,7}:{(30,1),(31,1),(91,1),(94,1),(177,1)}
        58:{1,4,5,6}:{(31,1),(92,1),(94,1),(100,1),(170,1),(185,1),(243,1)}
        59:{1,4,7}:{(32,1),(34,1),(96,1),(244,1)}
        60:{2,4,6}:{(32,1),(33,1),(35,1),(96,1),(98,1)}
        61:{1,3,4,6,7}:{(33,1),(36,1),(97,1),(99,1),(106,1),(185,1),(190,1),(249,1)}
        62:{1,3,5}:{(33,1),(98,1),(100,1),(184,1)}
        63:{1,2,5,7}:{(34,1),(41,1),(85,1),(95,1),(101,1),(179,1),(292,1)}
        64:{1,3,6}:{(34,1),(35,1),(96,1),(101,1)}
        65:{2,3,6,7}:{(35,1),(36,1),(97,1),(102,1),(104,1),(111,1),(167,1),(249,1),(291,1)}
        66:{2,3,5,6}:{(35,1),(37,1),(98,1),(103,1),(104,1),(105,1),(112,1),(168,1),(182,1),(184,1),(191,1),(195,1),(234,1),(238,1),(248,1),(249,1),(251,1),(291,1)}
        67:{1,3,5,7}:{(36,1),(37,1),(38,1),(104,1),(106,1),(292,1),(293,1)}
        68:{1,4,6}:{(37,1),(100,1),(105,1),(106,1),(244,1)}
        69:{2,4,7}:{(39,1),(41,1),(107,1),(108,1),(297,1)}
        70:{1,3,4,6}:{(39,1),(40,1),(42,1),(96,1),(108,1),(109,1),(114,1),(178,1),(195,1),(244,1),(253,1),(254,1),(258,1),(295,1)}
        71:{2,3,5}:{(40,1),(98,1),(109,1),(110,1),(184,1),(248,1)}
        72:{2,6}:{(41,1),(42,1)}
        73:{1,3,6,7}:{(42,1),(43,1),(45,1),(111,1),(113,1),(260,1)}
        74:{1,3,5,6}:{(42,1),(44,1),(46,1),(109,1),(112,1),(113,1),(114,1),(195,1),(200,1),(258,1)}
        75:{2,3,5,7}:{(43,1),(44,1),(47,1),(113,1),(115,1),(121,1),(199,1),(257,1)}
        76:{2,4,6}:{(44,1),(110,1),(114,1),(115,1),(116,1)}
        77:{1,5,7}:{(45,1),(46,1),(47,1)}
        78:{1,4,5,6}:{(46,1),(48,1),(114,1),(118,1),(119,1),(181,1),(246,1)}
        79:{2,5,6,7}:{(47,1),(49,1),(117,1),(120,1),(182,1)}
        80:{2,4,5,7}:{(47,1),(48,1),(50,1),(115,1),(118,1),(120,1),(121,1),(194,1),(199,1)}
        81:{3,5,6}:{(48,1),(116,1),(121,1),(184,1),(195,1),(249,1)}
        82:{1,4,6,7}:{(49,1),(50,1),(120,1),(185,1),(260,1)}
        83:{1,3,4,7}:{(51,1),(52,1),(59,1),(122,1),(123,1),(136,1),(207,1),(264,1),(277,1),(300,1)}
        84:{2,3,4,6}:{(51,1),(53,1),(60,1),(123,1),(124,1),(129,1),(149,1),(150,1),(224,1),(225,1),(265,1),(298,1)}
        85:{2,5,7}:{(52,1),(122,1),(125,1),(202,1)}
        86:{1,3,6}:{(52,1),(53,1),(54,1),(125,1),(304,1)}
        87:{2,3,6,7}:{(53,1),(55,1),(126,1),(128,1),(213,1),(264,1),(268,1)}
        88:{2,3,5,6}:{(53,1),(56,1),(124,1),(127,1),(128,1),(129,1),(134,1),(212,1),(265,1)}
        89:{1,4,6,7}:{(54,1),(55,1),(126,1),(130,1),(207,1)}
        90:{1,5,6}:{(54,1),(56,1),(130,1),(139,1)}
        91:{2,5,7}:{(55,1),(56,1),(57,1),(130,1)}
        92:{2,4,5,6}:{(56,1),(58,1),(129,1),(131,1),(133,1),(134,1),(141,1),(206,1),(212,1),(219,1)}
        93:{1,3,5,6,7}:{(57,1),(132,1),(135,1),(142,1),(213,1)}
        94:{1,4,5,7}:{(57,1),(58,1),(133,1),(135,1),(207,1),(269,1)}
        95:{1,2,4,7}:{(59,1),(63,1),(69,1),(122,1),(136,1),(137,1),(277,1),(305,1)}
        96:{1,4,6}:{(59,1),(60,1),(64,1),(139,1)}
        97:{2,4,6,7}:{(60,1),(61,1),(65,1),(138,1),(140,1),(148,1),(219,1)}
        98:{2,5}:{(60,1),(62,1),(139,1)}
        99:{1,3,5,7}:{(61,1),(62,1),(140,1),(142,1),(143,1),(220,1)}
       100:{1,4,5}:{(62,1),(68,1),(141,1),(274,1)}
       101:{1,2,6}:{(63,1),(64,1),(72,1),(125,1),(304,1)}
       102:{1,3,6,7}:{(64,1),(65,1),(138,1),(144,1),(146,1),(272,1)}
       103:{1,3,5,6}:{(64,1),(66,1),(139,1),(145,1),(146,1),(147,1),(214,1),(216,1),(218,1),(222,1),(272,1)}
       104:{2,3,5,7}:{(65,1),(66,1),(67,1),(140,1),(146,1),(148,1),(154,1),(205,1),(220,1),(228,1),(264,1),(273,1),(275,1)}
       105:{2,4,6}:{(66,1),(68,1),(141,1),(147,1),(148,1),(149,1),(225,1),(261,1)}
       106:{1,4,7}:{(67,1),(68,1),(148,1)}
       107:{2,3,7}:{(69,1),(136,1),(150,1),(228,1)}
       108:{2,4,6}:{(69,1),(70,1),(72,1),(150,1),(151,1),(225,1),(281,1),(306,1)}
       109:{1,3,5}:{(70,1),(71,1),(139,1),(151,1),(152,1),(226,1),(274,1)}
       110:{2,4,5}:{(71,1),(76,1),(152,1),(153,1),(261,1)}
       111:{2,6,7}:{(72,1),(73,1),(154,1)}
       112:{2,5,6}:{(72,1),(74,1),(151,1),(154,1),(155,1),(281,1)}
       113:{1,3,5,7}:{(73,1),(74,1),(75,1),(77,1),(154,1),(156,1),(228,1),(233,1),(280,1)}
       114:{1,4,6}:{(74,1),(76,1),(152,1),(155,1),(156,1)}
       115:{2,4,7}:{(75,1),(76,1),(156,1),(158,1)}
       116:{3,4,6}:{(76,1),(81,1),(153,1),(158,1)}
       117:{1,5,6,7}:{(77,1),(79,1),(159,1),(216,1)}
       118:{1,4,5,7}:{(77,1),(78,1),(80,1),(156,1),(159,1),(160,1)}
       119:{1,3,5,6}:{(78,1),(81,1),(157,1),(160,1),(161,1),(218,1),(272,1)}
       120:{2,4,6,7}:{(79,1),(80,1),(82,1),(159,1),(162,1),(219,1),(232,1)}
       121:{3,5,7}:{(80,1),(81,1),(158,1),(162,1),(228,1)}
       122:{2,4,7}:{(83,1),(85,1),(163,1),(164,1),(309,1)}
       123:{1,3,4,6}:{(83,1),(84,1),(86,1),(96,1),(164,1),(165,1),(170,1),(178,1),(238,1),(244,1),(253,1),(282,1),(286,1),(307,1)}
       124:{2,3,5}:{(84,1),(98,1),(165,1),(166,1),(184,1),(248,1)}
       125:{2,6}:{(85,1),(86,1)}
       126:{1,3,6,7}:{(86,1),(87,1),(89,1),(167,1),(169,1),(288,1)}
       127:{1,3,5,6}:{(86,1),(88,1),(90,1),(165,1),(168,1),(169,1),(170,1),(238,1),(243,1),(286,1)}
       128:{2,3,5,7}:{(87,1),(88,1),(91,1),(169,1),(171,1),(177,1),(242,1),(285,1)}
       129:{2,4,6}:{(88,1),(166,1),(170,1),(171,1),(172,1)}
       130:{1,5,7}:{(89,1),(90,1),(91,1)}
       131:{1,4,5,6}:{(90,1),(92,1),(170,1),(174,1),(175,1),(181,1),(246,1)}
       132:{2,5,6,7}:{(91,1),(93,1),(173,1),(176,1),(182,1)}
       133:{2,4,5,7}:{(91,1),(92,1),(94,1),(171,1),(174,1),(176,1),(177,1),(237,1),(242,1)}
       134:{3,5,6}:{(92,1),(172,1),(177,1),(184,1),(238,1),(249,1)}
       135:{1,4,6,7}:{(93,1),(94,1),(176,1),(185,1),(288,1)}
       136:{1,3,7}:{(95,1),(107,1),(163,1),(178,1)}
       137:{1,2,4,6}:{(95,1),(96,1),(101,1),(108,1),(164,1),(178,1),(179,1),(244,1),(253,1),(294,1),(310,1)}
       138:{1,4,6,7}:{(96,1),(97,1),(102,1),(180,1),(188,1),(246,1)}
       139:{1,5}:{(96,1),(98,1)}
       140:{2,5,7}:{(97,1),(98,1),(99,1),(180,1),(182,1)}
       141:{2,4,5}:{(98,1),(100,1),(105,1),(181,1),(184,1),(248,1)}
       142:{1,3,5,6}:{(99,1),(182,1),(185,1),(249,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(106,1),(183,1),(185,1),(292,1)}
       144:{1,2,6,7}:{(101,1),(102,1),(111,1),(167,1),(186,1),(260,1),(288,1),(291,1)}
       145:{1,2,5,6}:{(101,1),(103,1),(112,1),(168,1),(179,1),(186,1),(187,1),(200,1),(243,1),(248,1),(291,1)}
       146:{1,3,5,7}:{(102,1),(103,1),(104,1),(180,1),(186,1),(188,1),(250,1)}
       147:{1,4,6}:{(103,1),(105,1),(181,1),(188,1),(244,1)}
       148:{2,4,7}:{(104,1),(105,1),(106,1),(188,1),(190,1)}
       149:{3,4,6}:{(105,1),(184,1),(190,1),(195,1),(238,1),(249,1),(254,1),(282,1)}
       150:{2,3,6}:{(107,1),(108,1),(178,1),(191,1),(195,1),(311,1)}
       151:{2,5}:{(108,1),(109,1)}
       152:{1,4,5}:{(109,1),(110,1),(114,1),(192,1),(244,1)}
       153:{3,4,5}:{(110,1),(116,1),(184,1),(282,1)}
       154:{2,5,7}:{(111,1),(112,1),(113,1),(194,1),(297,1)}
       155:{2,4,6}:{(112,1),(114,1),(192,1),(194,1),(195,1)}
       156:{1,4,7}:{(113,1),(114,1),(115,1),(194,1)}
       157:{1,3,4,6}:{(114,1),(116,1),(119,1),(193,1),(195,1),(196,1),(197,1),(258,1)}
       158:{3,4,7}:{(115,1),(116,1),(121,1)}
       159:{1,4,6,7}:{(117,1),(118,1),(120,1),(198,1),(246,1)}
       160:{1,3,5,7}:{(118,1),(119,1),(121,1),(196,1),(198,1),(199,1)}
       161:{2,5,6}:{(119,1),(197,1),(199,1),(200,1),(248,1),(291,1)}
       162:{3,6,7}:{(120,1),(121,1),(249,1)}
       163:{2,3,7}:{(122,1),(136,1),(201,1),(264,1)}
       164:{2,4,6}:{(122,1),(123,1),(125,1),(201,1),(202,1),(261,1),(301,1),(312,1)}
       165:{1,3,5}:{(123,1),(124,1),(139,1),(202,1),(203,1),(262,1),(274,1)}
       166:{2,4,5}:{(124,1),(129,1),(203,1),(204,1),(225,1)}
       167:{2,6,7}:{(125,1),(126,1),(205,1)}
       168:{2,5,6}:{(125,1),(127,1),(202,1),(205,1),(206,1),(301,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(128,1),(130,1),(205,1),(207,1),(264,1),(269,1),(300,1)}
       170:{1,4,6}:{(127,1),(129,1),(203,1),(206,1),(207,1)}
       171:{2,4,7}:{(128,1),(129,1),(207,1),(209,1)}
       172:{3,4,6}:{(129,1),(134,1),(204,1),(209,1)}
       173:{1,5,6,7}:{(130,1),(132,1),(210,1),(216,1)}
       174:{1,4,5,7}:{(130,1),(131,1),(133,1),(207,1),(210,1),(211,1)}
       175:{1,3,5,6}:{(131,1),(134,1),(208,1),(211,1),(212,1),(218,1),(272,1)}
       176:{2,4,6,7}:{(132,1),(133,1),(135,1),(210,1),(213,1),(219,1),(268,1)}
       177:{3,5,7}:{(133,1),(134,1),(209,1),(213,1),(264,1)}
       178:{1,3,6}:{(136,1),(137,1),(150,1),(201,1),(214,1),(313,1)}
       179:{1,2,5}:{(137,1),(139,1),(151,1),(202,1),(214,1),(274,1)}
       180:{1,5,7}:{(138,1),(139,1),(140,1),(216,1)}
       181:{1,4,5}:{(139,1),(141,1),(147,1),(218,1)}
       182:{2,5,6}:{(140,1),(142,1),(216,1),(219,1)}
       183:{2,4,5,7}:{(140,1),(141,1),(143,1),(148,1),(217,1),(219,1),(220,1),(273,1)}
       184:{3,5}:{(141,1),(149,1)}
       185:{1,4,6}:{(142,1),(143,1),(219,1),(304,1)}
       186:{1,2,5,7}:{(144,1),(145,1),(146,1),(154,1),(205,1),(221,1),(233,1),(269,1),(273,1)}
       187:{1,2,4,6}:{(145,1),(147,1),(155,1),(206,1),(215,1),(221,1),(222,1),(224,1),(231,1),(267,1),(281,1),(301,1)}
       188:{1,4,7}:{(146,1),(147,1),(148,1)}
       189:{1,3,4,6}:{(147,1),(149,1),(218,1),(222,1),(223,1),(224,1),(270,1),(272,1)}
       190:{3,4,7}:{(148,1),(149,1),(220,1),(228,1),(264,1)}
       191:{2,3,5}:{(150,1),(151,1),(214,1),(225,1),(226,1)}
       192:{2,4,5}:{(151,1),(152,1),(155,1),(225,1),(226,1)}
       193:{1,3,4,5}:{(152,1),(153,1),(157,1),(218,1),(226,1),(227,1),(270,1),(279,1)}
       194:{2,4,7}:{(154,1),(155,1),(156,1),(228,1)}
       195:{3,6}:{(155,1),(226,1),(228,1)}
       196:{1,3,4,7}:{(156,1),(157,1),(158,1),(160,1),(228,1),(230,1),(280,1)}
       197:{2,4,6}:{(157,1),(161,1),(227,1),(229,1),(230,1),(231,1),(281,1)}
       198:{1,3,6,7}:{(159,1),(160,1),(162,1),(232,1),(272,1)}
       199:{2,5,7}:{(160,1),(161,1),(230,1),(232,1),(233,1)}
       200:{1,5,6}:{(161,1),(231,1),(233,1),(274,1),(304,1)}
       201:{2,3,6}:{(163,1),(164,1),(178,1),(234,1),(238,1),(314,1)}
       202:{2,5}:{(164,1),(165,1)}
       203:{1,4,5}:{(165,1),(166,1),(170,1),(235,1),(244,1)}
       204:{3,4,5}:{(166,1),(172,1),(184,1),(254,1)}
       205:{2,5,7}:{(167,1),(168,1),(169,1),(237,1),(309,1)}
       206:{2,4,6}:{(168,1),(170,1),(235,1),(237,1),(238,1)}
       207:{1,4,7}:{(169,1),(170,1),(171,1),(237,1)}
       208:{1,3,4,6}:{(170,1),(172,1),(175,1),(236,1),(238,1),(239,1),(240,1),(286,1)}
       209:{3,4,7}:{(171,1),(172,1),(177,1)}
       210:{1,4,6,7}:{(173,1),(174,1),(176,1),(241,1),(246,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(239,1),(241,1),(242,1)}
       212:{2,5,6}:{(175,1),(240,1),(242,1),(243,1),(248,1),(291,1)}
       213:{3,6,7}:{(176,1),(177,1),(249,1)}
       214:{1,3,5}:{(178,1),(179,1),(191,1),(234,1),(244,1)}
       215:{1,2,4,5}:{(179,1),(181,1),(187,1),(192,1),(235,1),(244,1),(245,1),(248,1),(256,1),(284,1),(289,1),(296,1),(308,1),(310,1)}
       216:{1,5,6}:{(180,1),(182,1),(246,1)}
       217:{1,4,5,7}:{(180,1),(181,1),(183,1),(188,1),(246,1),(247,1)}
       218:{1,3,5}:{(181,1),(184,1),(189,1),(248,1)}
       219:{2,4,6}:{(182,1),(183,1),(185,1),(246,1),(249,1),(291,1)}
       220:{3,5,7}:{(183,1),(184,1),(190,1),(249,1)}
       221:{1,2,4,7}:{(186,1),(187,1),(188,1),(194,1),(237,1),(250,1),(252,1),(259,1),(287,1),(297,1),(309,1)}
       222:{1,3,6}:{(187,1),(195,1),(238,1),(245,1),(250,1),(251,1)}
       223:{1,3,4,7}:{(188,1),(189,1),(190,1),(247,1),(250,1),(252,1)}
       224:{2,4,6}:{(189,1),(248,1),(251,1),(252,1),(253,1),(289,1),(291,1)}
       225:{2,4}:{(191,1),(244,1),(254,1)}
       226:{3,5}:{(192,1),(195,1),(254,1)}
       227:{2,4,5}:{(193,1),(197,1),(248,1),(255,1),(256,1),(289,1),(296,1)}
       228:{3,7}:{(194,1),(195,1)}
       229:{2,3,6}:{(195,1),(197,1),(255,1),(257,1),(258,1)}
       230:{2,4,7}:{(196,1),(197,1),(199,1),(257,1),(259,1),(297,1)}
       231:{1,4,6}:{(197,1),(200,1),(256,1),(258,1),(259,1)}
       232:{2,6,7}:{(198,1),(199,1),(260,1),(291,1)}
       233:{1,5,7}:{(199,1),(200,1),(259,1),(260,1)}
       234:{2,3,5}:{(201,1),(202,1),(214,1),(261,1),(262,1)}
       235:{2,4,5}:{(202,1),(203,1),(206,1),(261,1),(262,1)}
       236:{1,3,4,5}:{(203,1),(204,1),(208,1),(218,1),(262,1),(263,1),(270,1),(299,1)}
       237:{2,4,7}:{(205,1),(206,1),(207,1),(264,1)}
       238:{3,6}:{(206,1),(262,1),(264,1)}
       239:{1,3,4,7}:{(207,1),(208,1),(209,1),(211,1),(264,1),(266,1),(300,1)}
       240:{2,4,6}:{(208,1),(212,1),(263,1),(265,1),(266,1),(267,1),(301,1)}
       241:{1,3,6,7}:{(210,1),(211,1),(213,1),(268,1),(272,1)}
       242:{2,5,7}:{(211,1),(212,1),(266,1),(268,1),(269,1)}
       243:{1,5,6}:{(212,1),(267,1),(269,1),(274,1),(304,1)}
       244:{1,4}:{(214,1),(225,1),(261,1)}
       245:{1,3,5}:{(215,1),(222,1),(226,1),(262,1),(270,1),(271,1),(313,1)}
       246:{1,4,6}:{(216,1),(217,1),(219,1),(272,1)}
       247:{1,3,5,7}:{(217,1),(218,1),(220,1),(223,1),(272,1),(273,1)}
       248:{2,5}:{(218,1),(224,1),(274,1)}
       249:{3,6}:{(219,1),(220,1)}
       250:{1,3,7}:{(221,1),(222,1),(228,1),(264,1),(275,1)}
       251:{2,3,6}:{(222,1),(224,1),(271,1),(275,1),(276,1),(281,1),(301,1)}
       252:{2,4,7}:{(223,1),(224,1),(273,1),(275,1),(277,1)}
       253:{1,4,6}:{(224,1),(274,1),(276,1),(277,1),(302,1),(304,1)}
       254:{3,4}:{(225,1),(226,1)}
       255:{2,3,5}:{(226,1),(227,1),(229,1),(278,1),(279,1)}
       256:{1,4,5}:{(227,1),(231,1),(274,1),(279,1),(302,1)}
       257:{2,3,7}:{(228,1),(229,1),(230,1),(280,1)}
       258:{1,3,6}:{(229,1),(231,1),(279,1),(280,1),(281,1)}
       259:{1,4,7}:{(230,1),(231,1),(233,1),(280,1)}
       260:{1,6,7}:{(232,1),(233,1),(304,1)}
       261:{2,4}:{(234,1),(244,1),(282,1)}
       262:{3,5}:{(235,1),(238,1),(282,1)}
       263:{2,4,5}:{(236,1),(240,1),(248,1),(283,1),(284,1),(289,1),(308,1)}
       264:{3,7}:{(237,1),(238,1)}
       265:{2,3,6}:{(238,1),(240,1),(283,1),(285,1),(286,1)}
       266:{2,4,7}:{(239,1),(240,1),(242,1),(285,1),(287,1),(309,1)}
       267:{1,4,6}:{(240,1),(243,1),(284,1),(286,1),(287,1)}
       268:{2,6,7}:{(241,1),(242,1),(288,1),(291,1)}
       269:{1,5,7}:{(242,1),(243,1),(287,1),(288,1)}
       270:{1,3,4}:{(244,1),(245,1),(254,1),(282,1),(289,1)}
       271:{2,3,5}:{(245,1),(248,1),(251,1),(289,1),(290,1),(296,1),(308,1),(311,1),(314,1)}
       272:{1,3,6}:{(246,1),(247,1),(249,1),(291,1)}
       273:{2,5,7}:{(247,1),(248,1),(252,1),(291,1),(292,1)}
       274:{1,5}:{(248,1),(253,1)}
       275:{2,3,7}:{(250,1),(251,1),(252,1),(293,1),(297,1),(309,1)}
       276:{1,3,6}:{(251,1),(253,1),(290,1),(293,1),(294,1)}
       277:{1,4,7}:{(252,1),(253,1),(292,1),(293,1)}
       278:{2,3,4}:{(254,1),(255,1),(289,1),(295,1),(314,1)}
       279:{1,3,5}:{(255,1),(256,1),(258,1),(295,1),(296,1)}
       280:{1,3,7}:{(257,1),(258,1),(259,1),(297,1)}
       281:{2,6}:{(258,1),(296,1),(297,1)}
       282:{3,4}:{(261,1),(262,1)}
       283:{2,3,5}:{(262,1),(263,1),(265,1),(298,1),(299,1)}
       284:{1,4,5}:{(263,1),(267,1),(274,1),(299,1),(302,1)}
       285:{2,3,7}:{(264,1),(265,1),(266,1),(300,1)}
       286:{1,3,6}:{(265,1),(267,1),(299,1),(300,1),(301,1)}
       287:{1,4,7}:{(266,1),(267,1),(269,1),(300,1)}
       288:{1,6,7}:{(268,1),(269,1),(304,1)}
       289:{2,4}:{(270,1),(271,1),(302,1)}
       290:{1,3,5}:{(271,1),(274,1),(276,1),(302,1),(303,1),(313,1)}
       291:{2,6}:{(272,1),(273,1),(304,1)}
       292:{1,5,7}:{(273,1),(274,1),(277,1),(304,1)}
       293:{1,3,7}:{(275,1),(276,1),(277,1),(305,1)}
       294:{1,2,6}:{(276,1),(281,1),(301,1),(303,1),(305,1)}
       295:{1,3,4}:{(278,1),(279,1),(302,1),(306,1),(313,1)}
       296:{2,5}:{(279,1),(281,1),(306,1)}
       297:{2,7}:{(280,1),(281,1)}
       298:{2,3,4}:{(282,1),(283,1),(289,1),(307,1),(311,1)}
       299:{1,3,5}:{(283,1),(284,1),(286,1),(307,1),(308,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{2,6}:{(286,1),(308,1),(309,1)}
       302:{1,4}:{(289,1),(290,1)}
       303:{1,2,5}:{(290,1),(294,1),(296,1),(308,1),(310,1)}
       304:{1,6}:{(291,1),(292,1)}
       305:{1,2,7}:{(293,1),(294,1),(297,1),(309,1)}
       306:{2,4}:{(295,1),(296,1),(311,1)}
       307:{1,3,4}:{(298,1),(299,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(301,1),(312,1)}
       309:{2,7}:{(300,1),(301,1)}
       310:{1,2,4}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(307,1),(308,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

1245 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1246 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1247 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(36,1),(46,1),(89,1),(99,1),(104,1),(106,1),(144,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(66,1),(75,1),(77,1),(121,1),(128,1),(134,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(69,1),(126,1),(172,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(14,1),(35,1),(52,1),(83,1),(103,1),(140,1),(145,1),(147,1),(150,1),(241,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(48,1),(101,1),(104,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(50,1),(52,1),(150,1),(163,1),(164,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(53,1),(149,1),(156,1),(201,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(89,1),(143,1)}
         8:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(22,1),(59,1),(66,1),(115,1),(117,1),(121,1),(168,1),(174,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(18,1),(20,1),(21,1),(109,1),(132,1),(166,1),(177,1)}
        10:{1,2,4,6,7}:{(5,1),(19,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(69,1),(126,1),(127,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(27,1),(28,1),(75,1),(131,1),(134,1)}
        13:{2,4,6}:{(4,1),(7,1),(28,1),(29,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(30,1),(75,1),(122,1),(189,1),(212,1)}
        15:{2,5,7}:{(5,1),(6,1),(27,1),(177,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(28,1),(31,1),(66,1),(120,1)}
        17:{3,4,5,7}:{(7,1),(29,1),(69,1),(117,1),(172,1)}
        18:{2,3,5,6}:{(9,1),(34,1),(35,1),(85,1),(142,1),(145,1)}
        19:{2,4,6,7}:{(8,1),(36,1),(37,1),(87,1),(89,1),(150,1),(199,1),(200,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(34,1),(37,1),(38,1),(90,1),(149,1),(192,1),(201,1)}
        21:{2,4,5,7}:{(9,1),(35,1),(38,1),(39,1),(52,1),(102,1)}
        22:{1,3,6,7}:{(10,1),(14,1),(36,1),(41,1),(93,1),(151,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(15,1),(37,1),(40,1),(41,1),(156,1),(192,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(44,1),(45,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(43,1),(45,1),(46,1)}
        26:{2,4,5,6}:{(13,1),(43,1),(47,1),(48,1),(101,1),(143,1),(207,1)}
        27:{2,5,6}:{(12,1),(15,1),(50,1),(163,1)}
        28:{1,4,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{3,4,6}:{(13,1),(17,1),(48,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(41,1),(49,1),(52,1),(53,1),(226,1),(241,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(50,1),(52,1),(53,1),(102,1)}
        32:{1,3,4,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1),(94,1),(97,1),(107,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        33:{2,3,5,6,7}:{(18,1),(55,1),(56,1),(109,1),(166,1),(167,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(58,1),(59,1),(115,1),(171,1),(174,1)}
        35:{2,4,6}:{(18,1),(21,1),(59,1),(60,1)}
        36:{2,3,6,7}:{(19,1),(22,1),(61,1),(115,1),(122,1),(183,1),(218,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(177,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(59,1),(62,1),(66,1),(120,1)}
        39:{3,4,5,7}:{(21,1),(60,1),(77,1),(109,1),(132,1)}
        40:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(65,1),(131,1),(171,1),(177,1),(179,1),(186,1),(215,1),(219,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(30,1),(61,1),(64,1),(66,1)}
        42:{1,2,4,5,7}:{(23,1),(31,1),(62,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(123,1),(136,1),(176,1),(177,1),(180,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(68,1),(69,1),(126,1),(221,1)}
        44:{2,5,6,7}:{(24,1),(27,1),(70,1),(126,1),(183,1)}
        45:{1,4,6,7}:{(24,1),(25,1),(28,1),(68,1),(70,1)}
        46:{3,4,6,7}:{(25,1),(29,1),(69,1)}
        47:{1,4,5,6}:{(26,1),(28,1),(68,1),(72,1),(73,1),(120,1),(131,1),(185,1)}
        48:{3,5,6}:{(26,1),(29,1),(69,1),(172,1),(223,1)}
        49:{2,3,5,6}:{(27,1),(30,1),(64,1),(74,1),(75,1),(122,1),(132,1),(177,1),(215,1),(237,1),(238,1)}
        50:{2,4,6}:{(27,1),(28,1),(31,1),(75,1)}
        51:{1,3,4,6}:{(28,1),(29,1),(32,1),(73,1),(75,1),(76,1),(129,1),(134,1),(185,1),(223,1)}
        52:{2,4,7}:{(30,1),(66,1),(74,1),(77,1)}
        53:{3,5,7}:{(31,1),(75,1),(77,1),(132,1)}
        54:{2,4,5,7}:{(32,1),(76,1),(78,1),(79,1),(123,1),(126,1),(136,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        55:{1,3,5,6,7}:{(33,1),(34,1),(81,1),(82,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(35,1),(80,1),(82,1),(83,1)}
        57:{2,4,5,6}:{(35,1),(80,1),(84,1),(85,1),(102,1),(142,1),(228,1)}
        58:{2,5,6}:{(34,1),(37,1),(87,1),(199,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        60:{3,4,6}:{(35,1),(39,1),(85,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(41,1),(86,1),(89,1),(90,1),(205,1),(232,1)}
        62:{2,4,5,7}:{(37,1),(38,1),(87,1),(89,1),(90,1),(143,1)}
        63:{1,3,4,5,7}:{(38,1),(39,1),(88,1),(90,1),(91,1),(94,1),(138,1),(148,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(49,1),(86,1),(92,1),(93,1),(149,1),(151,1),(201,1),(231,1)}
        65:{1,2,4,6}:{(40,1),(42,1),(50,1),(87,1),(92,1),(93,1),(105,1),(146,1),(150,1),(163,1),(199,1),(207,1),(228,1)}
        66:{1,4,7}:{(41,1),(52,1),(89,1),(92,1)}
        67:{1,3,5,7}:{(42,1),(53,1),(90,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{1,4,5,7}:{(43,1),(45,1),(47,1),(96,1),(97,1),(156,1),(204,1)}
        69:{3,5,7}:{(43,1),(46,1),(48,1),(232,1)}
        70:{2,4,6,7}:{(44,1),(45,1),(50,1),(96,1),(98,1)}
        71:{1,3,4,6,7}:{(45,1),(46,1),(51,1),(97,1),(98,1),(99,1),(154,1),(157,1),(204,1),(232,1)}
        72:{2,4,5,6}:{(47,1),(50,1),(96,1),(100,1),(101,1),(102,1),(159,1)}
        73:{1,3,5,6}:{(47,1),(48,1),(51,1),(97,1),(100,1),(101,1),(149,1)}
        74:{2,4,6}:{(49,1),(52,1),(92,1),(102,1),(103,1),(243,1)}
        75:{3,6}:{(50,1),(53,1)}
        76:{2,4,6}:{(51,1),(54,1),(101,1),(104,1),(105,1),(163,1)}
        77:{3,4,7}:{(52,1),(53,1),(103,1),(241,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(161,1),(232,1),(233,1)}
        79:{1,4,5,7}:{(54,1),(105,1),(107,1),(152,1),(156,1),(201,1),(204,1),(206,1)}
        80:{2,4,5,7}:{(56,1),(57,1),(108,1),(109,1),(166,1),(235,1)}
        81:{2,5,6,7}:{(55,1),(58,1),(110,1),(166,1),(212,1)}
        82:{1,4,6,7}:{(55,1),(56,1),(59,1),(108,1),(110,1)}
        83:{3,4,6,7}:{(56,1),(60,1),(109,1)}
        84:{1,4,5,6}:{(57,1),(59,1),(108,1),(112,1),(113,1),(120,1),(171,1),(214,1)}
        85:{3,5,6}:{(57,1),(60,1),(109,1),(132,1),(237,1)}
        86:{2,3,5,6}:{(58,1),(61,1),(64,1),(114,1),(115,1),(122,1),(172,1),(177,1),(186,1),(223,1),(224,1)}
        87:{2,4,6}:{(58,1),(59,1),(62,1),(115,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(63,1),(113,1),(115,1),(116,1),(169,1),(174,1),(214,1),(237,1)}
        89:{2,4,7}:{(61,1),(66,1),(114,1),(117,1)}
        90:{3,5,7}:{(62,1),(115,1),(117,1),(172,1)}
        91:{2,4,5,7}:{(63,1),(116,1),(118,1),(119,1),(123,1),(166,1),(176,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        92:{1,4,6}:{(64,1),(66,1),(74,1),(114,1),(120,1),(239,1)}
        93:{1,3,6}:{(65,1),(67,1),(75,1),(115,1),(122,1),(223,1),(237,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(77,1),(117,1),(121,1),(123,1),(239,1),(240,1),(244,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(136,1),(176,1),(177,1),(189,1),(218,1),(224,1),(238,1)}
        96:{2,4,5,7}:{(68,1),(70,1),(72,1),(125,1),(126,1),(181,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(125,1),(126,1)}
        98:{3,6,7}:{(70,1),(75,1),(125,1)}
        99:{2,4,6,7}:{(71,1),(76,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{3,5,6}:{(72,1),(75,1),(125,1),(129,1),(132,1)}
       101:{2,5,6}:{(73,1),(76,1),(126,1),(131,1),(177,1)}
       102:{2,4,5}:{(74,1),(120,1),(132,1),(177,1)}
       103:{3,4,6}:{(74,1),(75,1),(77,1),(132,1),(237,1),(244,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(223,1)}
       105:{1,4,6}:{(76,1),(79,1),(131,1),(134,1)}
       106:{2,3,4,7}:{(77,1),(78,1),(123,1),(133,1),(135,1),(181,1),(218,1),(240,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(134,1),(135,1),(136,1),(187,1)}
       108:{1,4,5,7}:{(80,1),(82,1),(84,1),(137,1),(138,1),(192,1),(225,1)}
       109:{3,5,7}:{(80,1),(83,1),(85,1),(241,1)}
       110:{2,4,6,7}:{(81,1),(82,1),(87,1),(137,1),(139,1)}
       111:{1,3,4,6,7}:{(82,1),(83,1),(88,1),(138,1),(139,1),(140,1),(190,1),(193,1),(225,1),(241,1)}
       112:{2,4,5,6}:{(84,1),(87,1),(137,1),(141,1),(142,1),(143,1),(195,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(88,1),(138,1),(141,1),(142,1),(149,1)}
       114:{2,4,6}:{(86,1),(89,1),(92,1),(143,1),(144,1),(234,1)}
       115:{3,6}:{(87,1),(90,1)}
       116:{2,4,6}:{(88,1),(91,1),(142,1),(145,1),(146,1),(199,1)}
       117:{3,4,7}:{(89,1),(90,1),(144,1),(232,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(145,1),(147,1),(148,1),(197,1),(241,1),(242,1)}
       119:{1,4,5,7}:{(91,1),(146,1),(148,1),(152,1),(192,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(102,1),(143,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(103,1),(144,1),(149,1),(150,1)}
       122:{2,3,6}:{(93,1),(95,1),(150,1),(151,1),(163,1),(199,1)}
       123:{2,4,7}:{(94,1),(95,1),(150,1),(152,1),(234,1),(243,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(98,1),(100,1),(154,1)}
       126:{2,5,7}:{(97,1),(99,1),(101,1),(156,1)}
       127:{2,3,6,7}:{(98,1),(99,1),(104,1),(155,1),(157,1),(232,1)}
       128:{1,4,6,7}:{(99,1),(105,1),(156,1),(157,1),(204,1)}
       129:{3,4,6}:{(100,1),(154,1),(158,1),(159,1)}
       130:{2,3,5,6}:{(100,1),(101,1),(104,1),(155,1),(159,1),(160,1),(161,1)}
       131:{1,5,6}:{(101,1),(105,1),(156,1),(201,1)}
       132:{3,5}:{(102,1),(103,1)}
       133:{2,3,4,6}:{(103,1),(104,1),(106,1),(150,1),(159,1),(161,1),(162,1),(230,1),(243,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(163,1)}
       135:{1,3,4,7}:{(106,1),(107,1),(152,1),(162,1),(164,1),(203,1),(204,1),(232,1)}
       136:{2,5,7}:{(107,1),(163,1),(164,1),(208,1)}
       137:{2,4,5,7}:{(108,1),(110,1),(112,1),(165,1),(166,1),(210,1)}
       138:{1,3,5,7}:{(108,1),(109,1),(111,1),(113,1),(165,1),(166,1)}
       139:{3,6,7}:{(110,1),(115,1),(165,1)}
       140:{2,4,6,7}:{(111,1),(116,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{3,5,6}:{(112,1),(115,1),(165,1),(169,1),(172,1)}
       142:{2,5,6}:{(113,1),(116,1),(166,1),(171,1),(177,1)}
       143:{2,4,5}:{(114,1),(120,1),(172,1),(177,1)}
       144:{3,4,6}:{(114,1),(115,1),(117,1),(172,1),(223,1),(240,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(237,1)}
       146:{1,4,6}:{(116,1),(119,1),(171,1),(174,1)}
       147:{2,3,4,7}:{(117,1),(118,1),(123,1),(173,1),(175,1),(189,1),(210,1),(244,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(174,1),(175,1),(176,1),(216,1)}
       149:{1,3,5}:{(120,1),(121,1),(132,1),(172,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,3,6}:{(122,1),(124,1),(178,1),(179,1)}
       152:{1,4,7}:{(123,1),(124,1),(178,1),(239,1)}
       153:{1,2,5,7}:{(124,1),(136,1),(176,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(129,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(130,1),(181,1),(182,1)}
       156:{1,5,7}:{(126,1),(128,1),(131,1)}
       157:{1,3,6,7}:{(127,1),(128,1),(134,1),(182,1),(183,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,4,6}:{(129,1),(130,1),(181,1),(184,1),(185,1)}
       160:{1,3,5,6}:{(130,1),(131,1),(134,1),(182,1),(185,1),(186,1),(187,1),(223,1)}
       161:{2,3,5}:{(132,1),(133,1),(177,1),(184,1),(187,1)}
       162:{1,3,4,6}:{(133,1),(134,1),(135,1),(178,1),(185,1),(187,1),(188,1),(220,1),(223,1),(239,1),(240,1)}
       163:{2,6}:{(134,1),(136,1)}
       164:{2,4,7}:{(135,1),(136,1),(188,1),(189,1)}
       165:{3,5,7}:{(137,1),(139,1),(141,1),(190,1)}
       166:{2,5,7}:{(138,1),(140,1),(142,1),(192,1)}
       167:{2,3,6,7}:{(139,1),(140,1),(145,1),(191,1),(193,1),(241,1)}
       168:{1,4,6,7}:{(140,1),(146,1),(192,1),(193,1),(225,1)}
       169:{3,4,6}:{(141,1),(190,1),(194,1),(195,1)}
       170:{2,3,5,6}:{(141,1),(142,1),(145,1),(191,1),(195,1),(196,1),(197,1)}
       171:{1,5,6}:{(142,1),(146,1),(192,1),(201,1)}
       172:{3,5}:{(143,1),(144,1)}
       173:{2,3,4,6}:{(144,1),(145,1),(147,1),(150,1),(195,1),(197,1),(198,1),(209,1),(234,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(199,1)}
       175:{1,3,4,7}:{(147,1),(148,1),(152,1),(198,1),(200,1),(203,1),(225,1),(241,1)}
       176:{2,5,7}:{(148,1),(199,1),(200,1),(229,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(151,1),(153,1),(163,1),(199,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(164,1),(200,1),(202,1),(203,1)}
       181:{2,4,7}:{(154,1),(155,1),(159,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(157,1),(163,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(161,1),(206,1),(243,1)}
       185:{1,4,6}:{(159,1),(160,1),(204,1),(206,1),(207,1)}
       186:{2,5,6}:{(160,1),(163,1),(205,1),(207,1),(208,1)}
       187:{1,3,5}:{(161,1),(162,1),(201,1),(206,1),(208,1),(233,1)}
       188:{2,4,6}:{(162,1),(163,1),(164,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(203,1),(209,1),(232,1)}
       190:{3,4,7}:{(165,1),(169,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(170,1),(210,1),(211,1)}
       192:{1,5,7}:{(166,1),(168,1),(171,1)}
       193:{1,3,6,7}:{(167,1),(168,1),(174,1),(211,1),(212,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,4,6}:{(169,1),(170,1),(210,1),(213,1),(214,1)}
       196:{1,3,5,6}:{(170,1),(171,1),(174,1),(211,1),(214,1),(215,1),(216,1),(237,1)}
       197:{2,3,5}:{(172,1),(173,1),(177,1),(213,1),(216,1)}
       198:{1,3,4,6}:{(173,1),(174,1),(175,1),(178,1),(214,1),(216,1),(217,1),(220,1),(237,1),(239,1),(244,1)}
       199:{2,6}:{(174,1),(176,1)}
       200:{2,4,7}:{(175,1),(176,1),(217,1),(218,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(188,1),(217,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(180,1),(189,1),(218,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(185,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(186,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(187,1),(222,1),(239,1)}
       207:{2,4,6}:{(185,1),(186,1),(221,1),(222,1),(223,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(220,1),(223,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(195,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(196,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(193,1),(199,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(197,1),(227,1),(234,1)}
       214:{1,4,6}:{(195,1),(196,1),(225,1),(227,1),(228,1)}
       215:{2,5,6}:{(196,1),(199,1),(226,1),(228,1),(229,1)}
       216:{1,3,5}:{(197,1),(198,1),(201,1),(227,1),(229,1),(242,1)}
       217:{2,4,6}:{(198,1),(199,1),(200,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(203,1),(230,1),(241,1)}
       219:{1,2,5}:{(201,1),(202,1),(208,1),(229,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(209,1),(230,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(207,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(208,1),(233,1),(234,1)}
       223:{3,6}:{(207,1),(232,1),(233,1)}
       224:{2,3,5}:{(208,1),(209,1),(231,1),(233,1),(234,1)}
       225:{1,4,7}:{(210,1),(211,1),(214,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(215,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(216,1),(236,1),(239,1)}
       228:{2,4,6}:{(214,1),(215,1),(235,1),(236,1),(237,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(224,1),(238,1),(239,1)}
       232:{3,7}:{(221,1),(223,1)}
       233:{3,5}:{(222,1),(223,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(228,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       237:{3,6}:{(228,1),(241,1),(242,1)}
       238:{2,3,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1248 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1249 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1250 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1251 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1252 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1253 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1254 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1255 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1256 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1257 :   0:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(157,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(19,1),(25,1),(47,1),(52,1),(65,1),(94,1),(102,1),(116,1),(153,1),(156,1),(166,1),(218,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(33,1),(187,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(68,1),(188,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(188,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(188,1),(247,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(33,1),(41,1),(69,1),(76,1),(87,1),(122,1),(133,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(50,1),(217,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1),(219,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(19,1),(92,1),(94,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(20,1),(47,1),(49,1),(94,1),(153,1)}
        11:{2,4,5,6}:{(4,1),(17,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(219,1)}
        12:{2,3,5,7}:{(6,1),(21,1),(24,1),(25,1),(53,1),(153,1),(166,1),(218,1),(268,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(19,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(50,1),(94,1),(102,1),(110,1),(173,1)}
        16:{1,4,6,7}:{(7,1),(8,1),(29,1),(30,1),(245,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(11,1),(29,1),(31,1),(33,1),(67,1),(69,1),(122,1)}
        18:{3,6,7}:{(8,1),(31,1),(247,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(13,1),(31,1),(33,1)}
        20:{2,4,6,7}:{(10,1),(14,1),(32,1),(33,1),(34,1),(69,1),(71,1),(122,1)}
        21:{2,3,4,7}:{(12,1),(35,1),(36,1),(69,1),(87,1),(118,1),(127,1),(185,1),(199,1),(243,1)}
        22:{1,4,5,6}:{(11,1),(29,1),(37,1),(42,1),(84,1),(206,1),(245,1)}
        23:{3,5,6}:{(11,1),(31,1),(38,1),(142,1),(209,1),(247,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(247,1),(286,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(36,1),(40,1),(41,1),(77,1),(285,1)}
        26:{2,5,6}:{(13,1),(14,1),(33,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(72,1),(75,1),(87,1),(122,1),(125,1),(130,1),(133,1),(141,1),(144,1),(146,1),(186,1),(193,1),(196,1),(252,1),(285,1),(292,1)}
        29:{1,4,5,7}:{(16,1),(17,1),(22,1),(45,1),(50,1),(94,1)}
        30:{1,3,6,7}:{(16,1),(18,1),(45,1),(46,1),(269,1)}
        31:{3,5,7}:{(17,1),(18,1),(23,1),(47,1),(153,1)}
        32:{2,3,6,7}:{(18,1),(20,1),(24,1),(46,1),(48,1),(49,1),(153,1)}
        33:{2,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,4,6,7}:{(20,1),(27,1),(49,1),(50,1),(94,1)}
        35:{2,3,4,6}:{(21,1),(24,1),(53,1),(54,1),(59,1),(106,1),(113,1),(158,1),(159,1),(175,1),(223,1),(236,1)}
        36:{1,3,4,7}:{(21,1),(25,1),(54,1),(55,1),(94,1),(101,1),(110,1),(149,1),(153,1),(267,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(45,1),(56,1),(57,1),(237,1),(269,1)}
        38:{3,4,6}:{(23,1),(47,1),(52,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(48,1),(53,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(298,1)}
        41:{2,5,7}:{(25,1),(55,1),(61,1),(103,1)}
        42:{1,5,6}:{(26,1),(27,1),(50,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(219,1),(225,1),(275,1),(298,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(101,1),(116,1),(153,1),(163,1),(166,1),(218,1),(274,1),(303,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(37,1),(66,1),(67,1)}
        46:{2,6,7}:{(30,1),(67,1),(68,1),(286,1)}
        47:{3,4,7}:{(31,1),(38,1),(69,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(33,1),(39,1),(67,1),(69,1),(70,1),(118,1)}
        49:{1,3,6,7}:{(32,1),(34,1),(40,1),(68,1),(70,1),(71,1)}
        50:{1,5,7}:{(33,1),(34,1),(42,1)}
        51:{1,2,4,6,7}:{(34,1),(43,1),(71,1),(72,1),(73,1),(122,1),(124,1),(125,1),(208,1),(254,1),(292,1)}
        52:{3,4,5}:{(38,1),(76,1),(209,1),(251,1)}
        53:{2,3,5}:{(35,1),(76,1),(77,1),(144,1),(209,1),(263,1)}
        54:{1,3,4,6}:{(35,1),(36,1),(40,1),(77,1),(78,1),(84,1),(131,1),(137,1),(140,1),(142,1),(190,1),(196,1),(199,1),(262,1)}
        55:{2,4,7}:{(36,1),(41,1),(78,1),(79,1),(181,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(74,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(67,1),(80,1),(81,1),(263,1),(286,1)}
        58:{1,2,5,7}:{(41,1),(75,1),(82,1),(83,1),(130,1),(193,1),(285,1)}
        59:{2,4,6}:{(38,1),(39,1),(69,1),(76,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(70,1),(77,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(79,1),(83,1),(86,1),(87,1),(127,1),(134,1),(144,1),(191,1),(193,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(72,1),(85,1),(88,1),(130,1),(144,1),(187,1),(203,1),(207,1),(253,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(247,1),(291,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(125,1),(185,1),(196,1),(199,1),(251,1)}
        66:{1,3,4,7}:{(45,1),(47,1),(56,1),(91,1),(94,1),(149,1),(153,1)}
        67:{2,5,7}:{(45,1),(46,1),(57,1),(91,1),(92,1)}
        68:{1,6,7}:{(46,1),(92,1),(298,1)}
        69:{2,4,7}:{(47,1),(48,1),(59,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(60,1),(92,1),(94,1),(95,1),(149,1),(153,1)}
        71:{2,6,7}:{(49,1),(61,1),(95,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(63,1),(95,1),(97,1),(155,1),(213,1),(239,1),(276,1)}
        73:{1,3,6,7}:{(51,1),(64,1),(96,1),(97,1),(153,1),(298,1),(303,1)}
        74:{1,3,4,5}:{(52,1),(56,1),(99,1),(102,1),(161,1),(166,1),(228,1),(237,1)}
        75:{1,2,4,7}:{(55,1),(58,1),(100,1),(101,1),(110,1),(160,1),(213,1),(267,1)}
        76:{2,4,5}:{(52,1),(53,1),(59,1),(102,1),(223,1)}
        77:{1,3,5}:{(53,1),(54,1),(102,1),(103,1),(166,1),(173,1),(282,1)}
        78:{2,4,6}:{(54,1),(55,1),(61,1),(103,1),(104,1),(167,1),(170,1),(222,1)}
        79:{2,3,7}:{(55,1),(101,1),(104,1),(153,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(99,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(92,1),(107,1),(282,1),(298,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(225,1),(298,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(101,1),(109,1),(110,1),(163,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(102,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(103,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(225,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(167,1),(223,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(97,1),(112,1),(115,1),(116,1),(163,1),(235,1),(282,1),(298,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(165,1),(180,1),(218,1),(229,1),(232,1),(274,1),(280,1),(281,1),(303,1)}
        91:{2,4,7}:{(66,1),(67,1),(80,1),(118,1),(119,1),(181,1)}
        92:{1,5,7}:{(67,1),(68,1),(81,1),(119,1)}
        93:{1,2,6,7}:{(68,1),(71,1),(82,1),(120,1),(121,1),(254,1),(286,1),(307,1)}
        94:{1,4,7}:{(69,1),(70,1),(84,1),(122,1)}
        95:{2,5,7}:{(70,1),(71,1),(85,1),(122,1),(181,1)}
        96:{2,3,6,7}:{(71,1),(73,1),(86,1),(121,1),(123,1),(124,1),(247,1),(254,1),(286,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(88,1),(123,1),(125,1),(242,1),(285,1)}
        98:{1,3,4,6,7}:{(73,1),(89,1),(124,1),(125,1),(126,1),(185,1),(188,1),(247,1)}
        99:{2,4,5}:{(74,1),(80,1),(128,1),(129,1),(194,1),(256,1),(263,1)}
       100:{1,2,4,6}:{(75,1),(78,1),(82,1),(130,1),(131,1),(140,1),(192,1),(196,1),(203,1),(249,1),(262,1)}
       101:{1,3,7}:{(75,1),(79,1),(127,1),(131,1)}
       102:{1,4,5}:{(76,1),(77,1),(84,1),(133,1),(196,1)}
       103:{2,5}:{(77,1),(78,1)}
       104:{2,3,6}:{(78,1),(79,1),(131,1),(134,1),(142,1),(250,1)}
       105:{2,3,4,7}:{(79,1),(87,1),(132,1),(135,1),(136,1),(185,1),(243,1),(251,1),(261,1),(310,1)}
       106:{2,3,6}:{(80,1),(118,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(119,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(120,1),(130,1),(138,1),(139,1),(253,1),(263,1),(286,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(196,1)}
       111:{2,4,6}:{(84,1),(85,1),(122,1),(133,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(123,1),(134,1),(139,1),(142,1),(143,1),(144,1),(187,1),(191,1),(204,1),(209,1),(247,1),(253,1),(263,1),(286,1),(291,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(136,1),(141,1),(144,1),(145,1),(193,1),(200,1),(211,1),(252,1),(261,1),(292,1)}
       115:{1,4,6}:{(88,1),(125,1),(143,1),(146,1),(196,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(188,1),(198,1),(247,1),(258,1),(260,1),(291,1)}
       118:{2,3,7}:{(91,1),(106,1),(149,1),(153,1)}
       119:{1,4,7}:{(91,1),(92,1),(107,1),(149,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(95,1),(108,1),(150,1),(151,1),(268,1),(276,1),(306,1)}
       121:{1,3,6,7}:{(93,1),(96,1),(109,1),(151,1),(152,1),(269,1)}
       122:{2,4,7}:{(94,1),(95,1),(111,1),(153,1)}
       123:{2,3,5,7}:{(95,1),(96,1),(97,1),(112,1),(151,1),(153,1),(154,1),(155,1),(214,1),(218,1),(268,1),(276,1),(303,1)}
       124:{2,4,6,7}:{(96,1),(98,1),(113,1),(152,1),(154,1),(155,1),(219,1)}
       125:{1,4,7}:{(97,1),(115,1),(154,1)}
       126:{1,3,5,7}:{(98,1),(116,1),(155,1),(156,1),(157,1),(218,1)}
       127:{2,3,7}:{(101,1),(159,1),(160,1),(303,1)}
       128:{2,3,5}:{(99,1),(106,1),(158,1),(161,1),(166,1)}
       129:{1,4,5}:{(99,1),(107,1),(161,1),(277,1),(282,1)}
       130:{1,2,5}:{(100,1),(103,1),(163,1),(173,1),(224,1),(282,1)}
       131:{1,3,6}:{(100,1),(101,1),(104,1),(159,1),(163,1),(272,1)}
       132:{1,3,4,7}:{(101,1),(105,1),(110,1),(160,1),(164,1),(165,1),(267,1),(280,1),(303,1),(313,1)}
       133:{2,4,5}:{(102,1),(103,1),(111,1),(166,1),(167,1)}
       134:{2,3,5}:{(103,1),(104,1),(163,1),(166,1),(167,1)}
       135:{2,3,4,6}:{(104,1),(105,1),(113,1),(164,1),(167,1),(168,1),(169,1),(175,1),(233,1),(236,1),(273,1),(302,1)}
       136:{2,3,5,7}:{(105,1),(114,1),(165,1),(168,1),(169,1),(218,1),(268,1),(274,1),(303,1)}
       137:{1,3,6}:{(106,1),(107,1),(149,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(150,1),(162,1),(170,1),(171,1),(172,1),(236,1),(275,1),(304,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(151,1),(163,1),(171,1),(172,1),(173,1),(217,1),(237,1),(269,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(165,1),(173,1),(174,1),(229,1),(239,1),(280,1)}
       142:{3,6}:{(111,1),(153,1),(166,1)}
       143:{2,4,6}:{(112,1),(115,1),(154,1),(167,1),(172,1),(175,1),(176,1),(223,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(169,1),(174,1),(177,1),(225,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(221,1),(231,1),(271,1),(280,1),(281,1),(303,1)}
       149:{1,3,7}:{(118,1),(119,1),(137,1),(181,1)}
       150:{1,2,4,7}:{(119,1),(120,1),(122,1),(138,1),(181,1),(182,1),(183,1),(243,1),(292,1),(311,1),(314,1)}
       151:{1,3,5,7}:{(120,1),(121,1),(123,1),(139,1),(182,1),(183,1),(184,1)}
       152:{1,4,6,7}:{(121,1),(124,1),(140,1),(183,1),(184,1),(245,1)}
       153:{3,7}:{(122,1),(142,1)}
       154:{2,4,7}:{(123,1),(125,1),(143,1),(183,1),(185,1)}
       155:{2,5,7}:{(124,1),(126,1),(144,1),(184,1),(187,1)}
       156:{1,4,5,7}:{(125,1),(126,1),(146,1),(186,1),(188,1),(285,1)}
       157:{1,3,5,6}:{(126,1),(187,1),(188,1),(247,1)}
       158:{2,3,4}:{(128,1),(190,1),(199,1),(256,1),(288,1)}
       159:{2,3,6}:{(127,1),(131,1),(191,1),(192,1),(288,1),(291,1)}
       160:{2,4,7}:{(127,1),(132,1),(192,1),(193,1),(314,1)}
       161:{1,3,5}:{(128,1),(129,1),(137,1),(190,1),(194,1)}
       162:{1,2,4,5}:{(129,1),(130,1),(133,1),(138,1),(194,1),(195,1),(196,1),(206,1),(249,1),(252,1),(256,1),(263,1),(293,1),(308,1)}
       163:{1,3,5}:{(130,1),(131,1),(134,1),(191,1),(196,1)}
       164:{1,3,4,6}:{(131,1),(132,1),(135,1),(140,1),(192,1),(196,1),(197,1),(198,1),(251,1),(258,1),(262,1),(289,1),(291,1),(309,1)}
       165:{1,3,5,7}:{(132,1),(136,1),(141,1),(193,1),(197,1),(198,1),(285,1)}
       166:{3,5}:{(133,1),(142,1),(199,1)}
       167:{2,4}:{(134,1),(196,1),(199,1)}
       168:{2,3,5}:{(135,1),(144,1),(197,1),(200,1),(209,1),(263,1)}
       169:{2,3,6}:{(136,1),(145,1),(198,1),(247,1),(286,1),(291,1)}
       170:{2,6}:{(137,1),(181,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(182,1),(195,1),(204,1),(291,1)}
       172:{1,4,6}:{(139,1),(143,1),(183,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(198,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(185,1),(199,1),(209,1),(247,1),(251,1),(291,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(202,1),(208,1),(211,1),(254,1),(261,1),(292,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(188,1),(210,1),(212,1),(258,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{2,7}:{(149,1),(170,1)}
       182:{1,3,7}:{(150,1),(153,1),(171,1),(214,1),(303,1)}
       183:{1,4,7}:{(151,1),(154,1),(172,1)}
       184:{1,5,7}:{(152,1),(155,1),(173,1),(217,1)}
       185:{3,4,7}:{(153,1),(154,1),(175,1),(218,1),(303,1)}
       186:{2,4,5,7}:{(154,1),(155,1),(156,1),(176,1),(216,1),(218,1),(219,1),(268,1)}
       187:{2,5,6}:{(155,1),(157,1),(217,1),(219,1)}
       188:{1,4,6}:{(156,1),(157,1),(219,1),(298,1)}
       189:{1,3,5,6,7}:{(157,1),(180,1),(220,1),(221,1),(271,1)}
       190:{1,3,4}:{(158,1),(161,1),(222,1),(272,1),(277,1)}
       191:{2,3,5}:{(159,1),(163,1),(223,1),(224,1),(274,1)}
       192:{2,4,6}:{(159,1),(160,1),(164,1),(223,1),(224,1),(225,1),(300,1),(312,1)}
       193:{2,5,7}:{(160,1),(165,1),(224,1),(225,1)}
       194:{2,5}:{(161,1),(170,1),(222,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(227,1),(228,1),(272,1),(274,1)}
       196:{1,4}:{(163,1),(167,1),(223,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(224,1),(229,1),(274,1),(282,1)}
       198:{1,3,6}:{(165,1),(169,1),(174,1),(225,1),(298,1)}
       199:{3,4}:{(166,1),(167,1)}
       200:{2,4,5}:{(167,1),(168,1),(229,1),(232,1),(233,1)}
       201:{2,3,5,6}:{(168,1),(169,1),(177,1),(230,1),(233,1),(234,1),(240,1),(283,1),(302,1)}
       202:{2,3,6,7}:{(169,1),(178,1),(231,1),(234,1),(271,1),(299,1),(303,1)}
       203:{1,2,6}:{(170,1),(213,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(214,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(215,1),(228,1),(236,1),(237,1),(269,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(231,1),(239,1),(280,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(219,1),(233,1),(238,1),(240,1),(241,1),(275,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(221,1),(241,1),(280,1),(306,1)}
       213:{1,2,7}:{(181,1),(203,1),(242,1),(314,1)}
       214:{2,3,7}:{(181,1),(182,1),(204,1),(242,1),(243,1),(314,1)}
       215:{1,3,4,7}:{(182,1),(183,1),(185,1),(205,1),(243,1),(244,1)}
       216:{1,4,5,7}:{(183,1),(184,1),(186,1),(206,1),(244,1),(245,1)}
       217:{1,5,6}:{(184,1),(187,1),(245,1)}
       218:{3,5,7}:{(185,1),(186,1),(209,1),(247,1)}
       219:{2,4,6}:{(186,1),(187,1),(188,1),(245,1),(247,1),(286,1)}
       220:{2,5,6,7}:{(187,1),(189,1),(211,1),(246,1),(248,1)}
       221:{1,4,6,7}:{(188,1),(189,1),(212,1),(248,1),(307,1)}
       222:{2,4}:{(190,1),(194,1),(250,1)}
       223:{2,4}:{(191,1),(196,1),(251,1)}
       224:{2,5}:{(192,1),(197,1)}
       225:{2,6}:{(193,1),(198,1)}
       226:{1,2,5}:{(194,1),(203,1),(249,1),(255,1),(308,1)}
       227:{2,3,5}:{(194,1),(195,1),(204,1),(250,1),(255,1),(256,1),(263,1),(288,1),(308,1)}
       228:{1,3,4}:{(195,1),(196,1),(199,1),(251,1),(256,1)}
       229:{1,4,5}:{(196,1),(197,1),(200,1),(252,1),(258,1)}
       230:{1,3,5,6}:{(197,1),(198,1),(201,1),(207,1),(253,1),(258,1),(259,1),(291,1),(296,1),(309,1)}
       231:{1,3,6,7}:{(198,1),(202,1),(208,1),(254,1),(259,1),(307,1)}
       232:{3,4,5}:{(199,1),(200,1),(209,1),(260,1)}
       233:{2,4,6}:{(200,1),(201,1),(258,1),(260,1),(261,1)}
       234:{2,3,5,7}:{(201,1),(202,1),(211,1),(259,1),(261,1),(266,1),(297,1),(310,1)}
       235:{1,3,6}:{(203,1),(204,1),(242,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(243,1),(256,1),(262,1),(263,1),(286,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(245,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(247,1),(260,1),(266,1),(291,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(248,1),(261,1),(265,1),(266,1),(292,1),(297,1)}
       242:{1,3,7}:{(213,1),(214,1),(235,1),(267,1)}
       243:{2,4,7}:{(214,1),(215,1),(236,1),(267,1),(268,1)}
       244:{1,3,5,7}:{(215,1),(216,1),(218,1),(237,1),(268,1),(269,1)}
       245:{1,4,6}:{(216,1),(217,1),(219,1),(269,1)}
       246:{1,5,6,7}:{(217,1),(220,1),(239,1),(270,1)}
       247:{3,6}:{(218,1),(219,1)}
       248:{2,4,6,7}:{(219,1),(220,1),(221,1),(241,1),(270,1),(271,1),(299,1)}
       249:{1,2,4}:{(222,1),(226,1),(272,1),(277,1),(300,1)}
       250:{2,3}:{(222,1),(272,1)}
       251:{3,4}:{(223,1),(274,1)}
       252:{2,4,5}:{(223,1),(224,1),(229,1),(274,1),(275,1)}
       253:{2,5,6}:{(224,1),(225,1),(230,1),(275,1),(276,1),(312,1)}
       254:{2,6,7}:{(225,1),(231,1),(276,1)}
       255:{1,3,5}:{(226,1),(227,1),(235,1),(272,1),(277,1),(282,1)}
       256:{2,4}:{(227,1),(228,1),(277,1)}
       257:{1,3,4,5}:{(228,1),(229,1),(232,1),(237,1),(274,1),(278,1),(279,1),(301,1)}
       258:{1,4,6}:{(229,1),(230,1),(233,1),(275,1),(280,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(234,1),(239,1),(276,1),(280,1),(303,1),(306,1),(313,1)}
       260:{3,4,6}:{(232,1),(233,1),(240,1),(281,1)}
       261:{2,4,7}:{(233,1),(234,1),(280,1),(281,1)}
       262:{1,4,6}:{(235,1),(236,1),(267,1),(277,1),(282,1),(298,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(269,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(270,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(271,1),(281,1),(303,1)}
       267:{1,4,7}:{(242,1),(243,1),(262,1),(285,1)}
       268:{2,5,7}:{(243,1),(244,1),(263,1),(285,1),(286,1)}
       269:{1,3,6}:{(244,1),(245,1),(247,1),(286,1)}
       270:{1,4,6,7}:{(245,1),(246,1),(248,1),(265,1),(287,1)}
       271:{3,6,7}:{(247,1),(248,1),(266,1)}
       272:{1,3}:{(249,1),(250,1),(288,1)}
       273:{2,3,4}:{(250,1),(251,1),(256,1),(289,1),(290,1)}
       274:{3,5}:{(251,1),(252,1),(291,1)}
       275:{2,4,6}:{(252,1),(253,1),(258,1),(291,1),(292,1)}
       276:{2,5,7}:{(253,1),(254,1),(259,1),(292,1),(314,1)}
       277:{1,4}:{(255,1),(256,1)}
       278:{2,4,5}:{(256,1),(257,1),(263,1),(290,1),(293,1),(294,1),(308,1)}
       279:{1,3,4,6}:{(257,1),(258,1),(260,1),(264,1),(291,1),(294,1),(295,1),(309,1)}
       280:{1,4,7}:{(258,1),(259,1),(261,1),(292,1)}
       281:{3,4,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(286,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(287,1),(295,1),(297,1)}
       285:{1,5,7}:{(267,1),(268,1),(282,1),(298,1)}
       286:{2,6}:{(268,1),(269,1),(298,1)}
       287:{1,3,6,7}:{(269,1),(270,1),(271,1),(284,1),(299,1)}
       288:{2,3}:{(272,1),(300,1)}
       289:{1,3,4}:{(272,1),(273,1),(277,1),(300,1),(301,1)}
       290:{2,3,5}:{(273,1),(274,1),(278,1),(301,1),(302,1)}
       291:{3,6}:{(274,1),(275,1),(303,1)}
       292:{2,4,7}:{(275,1),(276,1),(280,1),(303,1)}
       293:{1,4,5}:{(277,1),(278,1),(282,1),(301,1),(304,1)}
       294:{2,4,6}:{(278,1),(279,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,7}:{(279,1),(280,1),(281,1),(284,1),(303,1),(305,1),(313,1)}
       296:{1,5,6}:{(282,1),(283,1),(298,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(299,1),(305,1),(306,1)}
       298:{1,6}:{(285,1),(286,1)}
       299:{2,6,7}:{(286,1),(287,1),(297,1),(307,1)}
       300:{2,4}:{(288,1),(289,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,3,6}:{(290,1),(291,1),(294,1),(309,1),(310,1)}
       303:{3,7}:{(291,1),(292,1)}
       304:{1,4,6}:{(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,7}:{(296,1),(297,1),(307,1),(311,1)}
       307:{1,6,7}:{(298,1),(299,1),(306,1)}
       308:{2,5}:{(300,1),(301,1),(312,1)}
       309:{1,3,6}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,7}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,7}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1258 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(13,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(26,1),(55,1),(119,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(43,1),(93,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(155,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(13,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(37,1),(40,1)}
         7:{3,4,5,6}:{(12,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(40,1),(82,1),(94,1),(103,1),(218,1),(226,1),(230,1),(242,1),(288,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(65,1),(125,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(26,1),(55,1),(59,1),(65,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(192,1)}
        12:{3,4,5,7}:{(5,1),(7,1),(24,1),(184,1),(263,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,3,5,6,7}:{(6,1),(23,1),(26,1),(27,1),(59,1),(62,1),(65,1)}
        15:{1,3,4,5,6}:{(7,1),(21,1),(28,1),(30,1),(52,1),(68,1),(71,1),(106,1),(131,1),(177,1),(193,1)}
        16:{2,4,5,6}:{(7,1),(24,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(261,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(62,1),(74,1),(113,1),(122,1),(127,1),(134,1),(195,1),(208,1),(260,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(33,1),(36,1),(41,1),(78,1),(83,1),(89,1),(144,1),(152,1),(155,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(85,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(228,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(230,1)}
        25:{2,3,4,6,7}:{(13,1),(17,1),(37,1),(40,1),(42,1),(82,1),(147,1),(154,1),(160,1),(230,1)}
        26:{1,4,6,7}:{(13,1),(14,1),(41,1),(43,1)}
        27:{2,5,6,7}:{(14,1),(43,1),(85,1),(88,1)}
        28:{2,4,5,6}:{(15,1),(36,1),(45,1),(46,1),(96,1),(168,1),(229,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(40,1),(47,1),(222,1),(229,1)}
        30:{1,4,5,6}:{(16,1),(41,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(287,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(88,1),(149,1),(158,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(125,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(28,1),(57,1),(58,1),(114,1),(189,1),(192,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(65,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(27,1),(56,1),(60,1),(61,1),(116,1),(120,1),(179,1),(192,1),(262,1),(266,1),(301,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(29,1),(62,1),(184,1),(192,1)}
        41:{1,4,5,7}:{(24,1),(26,1),(30,1),(62,1),(63,1),(195,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(59,1),(62,1),(64,1),(65,1),(113,1),(122,1),(123,1),(191,1),(195,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(65,1)}
        44:{2,3,5,6,7}:{(27,1),(61,1),(65,1),(66,1),(117,1),(121,1),(125,1),(192,1),(200,1),(250,1),(301,1),(314,1)}
        45:{2,3,5,6}:{(28,1),(57,1),(67,1),(68,1),(71,1),(177,1)}
        46:{1,4,5,6}:{(28,1),(58,1),(68,1),(205,1),(262,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(62,1),(70,1),(71,1),(262,1)}
        48:{2,4,5,6}:{(30,1),(63,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(120,1),(138,1),(186,1),(195,1),(201,1),(208,1),(209,1),(260,1),(264,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(202,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(163,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(82,1),(92,1),(139,1),(154,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(85,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(45,1),(82,1),(83,1),(89,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(46,1),(83,1),(225,1),(228,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(83,1),(85,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(84,1),(85,1),(86,1),(87,1),(154,1),(287,1),(289,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(44,1),(81,1),(86,1),(87,1),(153,1),(155,1),(157,1),(216,1),(228,1),(234,1),(283,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(88,1),(89,1),(228,1)}
        63:{2,4,5,7}:{(41,1),(43,1),(48,1),(88,1),(89,1),(158,1)}
        64:{2,4,6,7}:{(42,1),(49,1),(85,1),(88,1),(91,1),(149,1),(158,1)}
        65:{3,6,7}:{(43,1),(89,1)}
        66:{2,4,6,7}:{(44,1),(87,1),(92,1),(93,1),(158,1),(232,1),(279,1),(310,1)}
        67:{2,3,4,6}:{(45,1),(82,1),(94,1),(95,1),(100,1),(168,1),(213,1),(237,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(83,1),(95,1),(96,1)}
        69:{1,2,4,5,6}:{(46,1),(48,1),(84,1),(96,1),(97,1),(98,1),(141,1),(156,1),(165,1),(168,1),(171,1),(211,1),(229,1),(240,1),(242,1),(275,1),(287,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        70:{2,5,6}:{(47,1),(49,1),(88,1)}
        71:{3,5,6}:{(48,1),(89,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(287,1),(289,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(235,1),(288,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(158,1),(236,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(125,1),(192,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(113,1),(175,1),(181,1),(182,1),(191,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(117,1),(180,1),(184,1),(192,1),(194,1),(256,1),(266,1),(304,1)}
        82:{2,3,4,7}:{(57,1),(67,1),(113,1),(122,1),(181,1),(189,1),(257,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(68,1),(113,1),(114,1)}
        84:{1,2,4,5,7}:{(58,1),(60,1),(63,1),(69,1),(109,1),(114,1),(115,1),(119,1),(120,1),(179,1),(186,1),(189,1),(192,1),(195,1),(251,1),(260,1),(264,1),(299,1),(302,1)}
        85:{2,6,7}:{(59,1),(114,1)}
        86:{1,3,6,7}:{(60,1),(65,1),(111,1),(115,1),(117,1),(303,1),(304,1),(314,1)}
        87:{1,4,6,7}:{(61,1),(66,1),(112,1),(119,1),(195,1),(251,1),(265,1),(300,1)}
        88:{2,5,7}:{(62,1),(64,1),(70,1)}
        89:{3,5,7}:{(63,1),(65,1),(71,1),(122,1)}
        90:{1,2,4,6,7}:{(64,1),(72,1),(116,1),(120,1),(123,1),(186,1),(191,1),(195,1),(198,1)}
        91:{2,3,6,7}:{(64,1),(65,1),(73,1),(121,1),(123,1),(187,1)}
        92:{3,4,6,7}:{(65,1),(66,1),(122,1),(125,1),(197,1),(298,1),(314,1)}
        93:{2,4,5,7}:{(66,1),(119,1),(125,1),(126,1),(192,1)}
        94:{2,3,4,5}:{(67,1),(127,1),(134,1),(206,1),(247,1),(267,1)}
        95:{1,3,4,6}:{(67,1),(68,1),(113,1),(127,1),(128,1),(203,1),(205,1)}
        96:{2,5,6}:{(68,1),(114,1),(128,1)}
        97:{1,3,5,6}:{(69,1),(71,1),(115,1),(130,1),(131,1),(177,1),(203,1),(270,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(120,1),(132,1),(209,1),(262,1),(266,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(121,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(122,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(267,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(195,1),(263,1),(268,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(163,1),(229,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(94,1),(139,1),(142,1),(159,1),(226,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(228,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(85,1),(143,1),(146,1),(149,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(87,1),(147,1),(148,1),(217,1),(230,1),(281,1),(289,1)}
       113:{1,3,4,7}:{(82,1),(83,1),(95,1),(149,1),(223,1),(225,1)}
       114:{2,5,7}:{(83,1),(85,1),(96,1),(149,1)}
       115:{1,3,5,7}:{(84,1),(86,1),(89,1),(97,1),(144,1),(151,1),(152,1),(223,1),(288,1),(309,1)}
       116:{1,2,6,7}:{(85,1),(150,1),(153,1),(311,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(151,1),(153,1),(154,1),(286,1),(311,1)}
       118:{1,3,4,6,7}:{(86,1),(87,1),(92,1),(147,1),(152,1),(154,1),(155,1),(227,1)}
       119:{1,4,5,7}:{(87,1),(93,1),(148,1),(155,1),(156,1),(228,1)}
       120:{1,2,5,7}:{(88,1),(90,1),(98,1),(157,1),(228,1),(233,1)}
       121:{2,3,5,7}:{(88,1),(89,1),(91,1),(99,1),(157,1),(158,1)}
       122:{3,4,7}:{(89,1),(100,1),(158,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(101,1),(157,1),(160,1),(223,1)}
       124:{2,3,4,6,7}:{(91,1),(92,1),(102,1),(154,1),(158,1),(161,1),(162,1),(224,1),(232,1),(286,1)}
       125:{3,5,7}:{(92,1),(93,1),(163,1)}
       126:{2,4,5,6}:{(93,1),(156,1),(163,1),(229,1),(232,1),(310,1)}
       127:{1,3,4,5}:{(94,1),(95,1),(164,1),(235,1),(240,1)}
       128:{2,4,6}:{(95,1),(96,1),(149,1),(164,1),(166,1)}
       129:{1,2,5,6}:{(96,1),(150,1),(165,1),(167,1),(291,1),(311,1)}
       130:{2,3,5,6}:{(96,1),(97,1),(151,1),(166,1),(167,1),(168,1),(229,1),(237,1),(239,1),(286,1),(291,1),(311,1)}
       131:{1,3,4,6}:{(97,1),(100,1),(152,1),(168,1),(169,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(157,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(158,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(290,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(197,1),(261,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(262,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(127,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(260,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(116,1),(179,1),(182,1),(186,1),(191,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(187,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(263,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(119,1),(184,1),(185,1),(192,1)}
       149:{2,4,7}:{(113,1),(114,1),(128,1),(187,1)}
       150:{1,2,5,7}:{(114,1),(116,1),(129,1),(186,1),(188,1),(302,1)}
       151:{2,3,5,7}:{(114,1),(115,1),(117,1),(130,1),(187,1),(188,1),(189,1),(192,1),(257,1),(302,1)}
       152:{1,3,4,7}:{(115,1),(122,1),(131,1),(181,1),(189,1),(195,1),(251,1),(263,1),(298,1)}
       153:{1,3,6,7}:{(116,1),(117,1),(188,1),(191,1),(303,1)}
       154:{2,4,6,7}:{(117,1),(118,1),(189,1),(191,1),(192,1),(261,1)}
       155:{1,3,5,7}:{(118,1),(119,1),(125,1),(184,1),(192,1),(193,1)}
       156:{1,4,5,6}:{(119,1),(126,1),(185,1),(193,1),(262,1),(265,1),(300,1)}
       157:{1,3,5,7}:{(120,1),(121,1),(123,1),(132,1),(194,1),(195,1)}
       158:{2,4,7}:{(121,1),(122,1),(133,1),(195,1)}
       159:{3,4,5,7}:{(122,1),(125,1),(134,1),(196,1),(197,1)}
       160:{2,3,6,7}:{(123,1),(135,1),(194,1),(198,1),(257,1),(304,1)}
       161:{1,3,4,6,7}:{(123,1),(124,1),(136,1),(191,1),(195,1),(198,1),(199,1),(258,1),(263,1),(265,1),(303,1),(304,1)}
       162:{2,3,5,7}:{(124,1),(125,1),(137,1),(192,1),(196,1),(199,1),(200,1)}
       163:{3,5,6}:{(125,1),(126,1),(197,1),(314,1)}
       164:{2,4,5}:{(127,1),(128,1),(202,1)}
       165:{1,2,4,6}:{(128,1),(129,1),(186,1),(201,1),(203,1),(205,1),(269,1)}
       166:{2,3,6}:{(128,1),(187,1),(202,1),(203,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(188,1),(203,1),(205,1),(262,1),(270,1),(303,1)}
       168:{2,4,6}:{(130,1),(131,1),(189,1),(205,1),(206,1)}
       169:{1,3,4,5}:{(131,1),(134,1),(206,1),(208,1),(247,1),(270,1),(271,1),(296,1),(313,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(194,1),(207,1),(209,1),(266,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(195,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(287,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(164,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(228,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(223,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(154,1),(217,1),(220,1),(221,1),(224,1),(273,1),(281,1),(286,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(156,1),(222,1),(229,1),(281,1),(289,1)}
       186:{1,2,4,7}:{(149,1),(150,1),(165,1),(223,1),(225,1),(284,1)}
       187:{2,3,7}:{(149,1),(166,1),(223,1)}
       188:{1,3,5,7}:{(150,1),(151,1),(153,1),(167,1),(223,1),(225,1),(228,1)}
       189:{2,4,7}:{(151,1),(152,1),(168,1),(225,1)}
       190:{1,3,4,5,7}:{(152,1),(155,1),(159,1),(169,1),(218,1),(226,1),(227,1),(231,1),(280,1),(285,1),(288,1),(309,1)}
       191:{1,4,6,7}:{(153,1),(154,1),(225,1),(228,1),(287,1)}
       192:{2,5,7}:{(154,1),(155,1),(228,1),(229,1)}
       193:{1,3,5,6}:{(155,1),(156,1),(163,1),(222,1),(227,1),(229,1)}
       194:{2,3,5,7}:{(157,1),(160,1),(170,1),(230,1),(233,1),(288,1)}
       195:{1,4,7}:{(157,1),(158,1),(171,1),(230,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(231,1),(232,1)}
       197:{3,4,6}:{(159,1),(163,1),(232,1)}
       198:{2,4,6,7}:{(160,1),(161,1),(173,1),(230,1),(233,1),(284,1),(289,1),(311,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(174,1),(228,1),(231,1),(233,1),(234,1),(288,1)}
       200:{2,3,5,6}:{(162,1),(163,1),(229,1),(232,1),(234,1),(286,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(235,1),(240,1),(290,1),(291,1)}
       202:{2,3,5}:{(164,1),(166,1),(235,1),(236,1)}
       203:{1,3,6}:{(165,1),(166,1),(223,1),(235,1),(237,1)}
       204:{2,3,4,6}:{(166,1),(168,1),(224,1),(236,1),(238,1),(239,1),(241,1),(286,1),(307,1)}
       205:{1,4,6}:{(167,1),(168,1),(225,1),(240,1)}
       206:{2,4,5}:{(168,1),(169,1),(239,1),(240,1),(291,1)}
       207:{2,4,6}:{(170,1),(171,1),(230,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(262,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(201,1),(243,1),(248,1),(251,1),(260,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(202,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(257,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(191,1),(251,1),(254,1),(255,1),(258,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(192,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,7}:{(186,1),(187,1),(203,1),(257,1)}
       224:{2,3,4,7}:{(187,1),(189,1),(204,1),(258,1),(259,1),(263,1),(298,1)}
       225:{1,4,7}:{(188,1),(189,1),(205,1)}
       226:{2,4,5,7}:{(189,1),(190,1),(192,1),(206,1),(259,1),(260,1),(261,1),(302,1)}
       227:{1,3,4,6}:{(190,1),(193,1),(197,1),(253,1),(261,1),(265,1),(300,1),(303,1),(304,1),(314,1)}
       228:{1,5,7}:{(191,1),(192,1),(262,1)}
       229:{2,5,6}:{(192,1),(193,1),(261,1),(262,1)}
       230:{2,4,7}:{(194,1),(195,1),(207,1),(263,1)}
       231:{1,4,5,7}:{(195,1),(196,1),(199,1),(208,1),(264,1),(265,1)}
       232:{2,4,6}:{(196,1),(197,1),(200,1),(265,1)}
       233:{2,5,7}:{(198,1),(199,1),(209,1),(266,1)}
       234:{1,3,5,6}:{(199,1),(200,1),(262,1),(265,1),(266,1),(303,1),(304,1)}
       235:{1,3,5}:{(201,1),(202,1),(203,1),(267,1),(268,1)}
       236:{2,3,4}:{(202,1),(268,1)}
       237:{2,3,6}:{(203,1),(257,1),(267,1),(269,1)}
       238:{1,3,4,6}:{(203,1),(204,1),(205,1),(258,1),(268,1),(269,1),(270,1),(303,1)}
       239:{2,3,5}:{(204,1),(206,1),(270,1),(271,1),(313,1)}
       240:{1,4,5}:{(205,1),(206,1),(270,1)}
       241:{3,4,6}:{(207,1),(263,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(287,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(235,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(236,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(284,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(228,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(229,1),(281,1),(283,1),(286,1)}
       257:{2,3,7}:{(223,1),(237,1),(284,1)}
       258:{1,3,4,7}:{(223,1),(224,1),(225,1),(238,1),(284,1),(285,1)}
       259:{2,3,5,7}:{(224,1),(226,1),(239,1),(285,1),(286,1),(288,1),(309,1)}
       260:{1,4,5,7}:{(225,1),(226,1),(228,1),(240,1),(285,1),(287,1)}
       261:{2,4,6}:{(226,1),(227,1),(229,1),(286,1),(287,1),(311,1)}
       262:{1,5,6}:{(228,1),(229,1),(287,1)}
       263:{3,4,7}:{(230,1),(241,1),(288,1)}
       264:{2,4,5,7}:{(230,1),(231,1),(233,1),(242,1),(288,1),(289,1)}
       265:{1,4,6}:{(231,1),(232,1),(234,1),(289,1)}
       266:{2,5,6}:{(233,1),(234,1),(289,1),(311,1)}
       267:{2,3,5}:{(235,1),(237,1),(290,1),(291,1)}
       268:{1,3,4}:{(235,1),(236,1),(290,1)}
       269:{2,4,6}:{(237,1),(238,1),(284,1),(290,1),(291,1),(311,1)}
       270:{1,3,5}:{(238,1),(239,1),(240,1),(291,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(267,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(268,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(262,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4,7}:{(257,1),(258,1),(269,1),(302,1)}
       285:{1,3,5,7}:{(258,1),(259,1),(260,1),(270,1),(302,1),(303,1)}
       286:{2,3,6}:{(259,1),(261,1),(303,1),(304,1),(314,1)}
       287:{1,4,6}:{(260,1),(261,1),(262,1),(303,1)}
       288:{3,5,7}:{(263,1),(264,1),(271,1),(304,1)}
       289:{2,4,6}:{(264,1),(265,1),(266,1),(304,1)}
       290:{2,4}:{(267,1),(268,1)}
       291:{2,5}:{(269,1),(270,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(290,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(284,1),(285,1),(291,1),(311,1)}
       303:{1,3,6}:{(285,1),(286,1),(287,1),(311,1)}
       304:{3,6}:{(288,1),(289,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1259 :   0:{2,3,4,6,7}:{(1,1),(2,1),(16,1),(34,1),(46,1),(85,1),(99,1),(102,1),(104,1),(142,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(22,1),(29,1),(65,1),(73,1),(75,1),(121,1),(128,1),(131,1),(134,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(71,1),(127,1),(169,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(12,1),(38,1),(48,1),(83,1),(101,1),(140,1),(143,1),(145,1),(150,1),(241,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(48,1),(49,1),(150,1),(161,1),(164,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(50,1),(149,1),(157,1),(201,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(54,1),(104,1),(106,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(85,1),(141,1)}
         8:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(22,1),(60,1),(65,1),(113,1),(115,1),(121,1),(168,1),(171,1),(174,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(111,1),(129,1),(167,1),(177,1)}
        10:{1,2,4,6,7}:{(4,1),(18,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(6,1),(24,1),(25,1),(71,1),(126,1),(127,1)}
        12:{2,3,6,7}:{(4,1),(22,1),(26,1),(75,1),(123,1),(187,1),(212,1)}
        13:{2,5,7}:{(4,1),(5,1),(27,1),(177,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(27,1),(29,1),(75,1),(134,1),(136,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(65,1),(120,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(32,1)}
        17:{3,4,5,7}:{(7,1),(32,1),(71,1),(113,1),(169,1)}
        18:{2,4,6,7}:{(8,1),(34,1),(35,1),(85,1),(86,1),(150,1),(197,1),(200,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(35,1),(36,1),(37,1),(87,1),(149,1),(193,1),(201,1)}
        20:{2,3,5,6}:{(9,1),(36,1),(38,1),(91,1),(145,1),(147,1)}
        21:{2,4,5,7}:{(9,1),(37,1),(38,1),(39,1),(48,1),(100,1)}
        22:{1,3,6,7}:{(10,1),(12,1),(34,1),(40,1),(94,1),(152,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(13,1),(35,1),(40,1),(41,1),(157,1),(193,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(14,1),(43,1),(44,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(16,1),(44,1),(45,1),(46,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(50,1),(226,1),(241,1)}
        27:{2,5,6}:{(13,1),(14,1),(49,1),(164,1)}
        28:{2,4,5,7}:{(13,1),(15,1),(48,1),(49,1),(50,1),(100,1)}
        29:{1,4,6}:{(14,1),(15,1),(16,1),(49,1)}
        30:{1,3,4,5,7}:{(15,1),(17,1),(50,1),(52,1),(53,1),(93,1),(98,1),(105,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        31:{2,4,5,6}:{(16,1),(45,1),(51,1),(54,1),(106,1),(141,1),(209,1)}
        32:{3,4,6}:{(16,1),(17,1),(54,1)}
        33:{2,3,5,6,7}:{(20,1),(55,1),(56,1),(111,1),(166,1),(167,1)}
        34:{2,3,6,7}:{(18,1),(22,1),(57,1),(115,1),(123,1),(183,1),(216,1)}
        35:{2,5,7}:{(18,1),(19,1),(58,1),(177,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(58,1),(60,1),(115,1),(174,1),(176,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(59,1),(60,1),(65,1),(120,1)}
        38:{2,4,6}:{(20,1),(21,1),(60,1),(63,1)}
        39:{3,4,5,7}:{(21,1),(63,1),(73,1),(111,1),(129,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(26,1),(57,1),(64,1),(65,1)}
        41:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(66,1),(136,1),(176,1),(177,1),(180,1),(189,1),(218,1),(219,1)}
        42:{1,2,4,5,7}:{(23,1),(28,1),(59,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(122,1),(135,1),(175,1),(177,1),(179,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,5,6,7}:{(24,1),(27,1),(68,1),(127,1),(183,1)}
        44:{1,4,6,7}:{(24,1),(25,1),(29,1),(68,1),(69,1)}
        45:{2,4,5,7}:{(25,1),(31,1),(69,1),(71,1),(127,1),(221,1)}
        46:{3,4,6,7}:{(25,1),(32,1),(71,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(64,1),(72,1),(75,1),(123,1),(129,1),(177,1),(218,1),(237,1),(238,1)}
        48:{2,4,7}:{(26,1),(65,1),(72,1),(73,1)}
        49:{2,4,6}:{(27,1),(28,1),(29,1),(75,1)}
        50:{3,5,7}:{(28,1),(73,1),(75,1),(129,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(69,1),(74,1),(77,1),(120,1),(136,1),(188,1)}
        52:{1,3,4,6}:{(29,1),(30,1),(32,1),(75,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        53:{2,4,5,7}:{(30,1),(76,1),(78,1),(79,1),(122,1),(127,1),(135,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        54:{3,5,6}:{(31,1),(32,1),(71,1),(169,1),(224,1)}
        55:{1,3,5,6,7}:{(33,1),(36,1),(80,1),(81,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(38,1),(81,1),(82,1),(83,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(40,1),(84,1),(85,1),(87,1),(205,1),(232,1)}
        58:{2,5,6}:{(35,1),(36,1),(86,1),(200,1)}
        59:{2,4,5,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(141,1)}
        60:{1,4,6}:{(36,1),(37,1),(38,1),(86,1)}
        61:{1,3,4,5,7}:{(37,1),(39,1),(87,1),(89,1),(90,1),(93,1),(139,1),(146,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        62:{2,4,5,6}:{(38,1),(82,1),(88,1),(91,1),(100,1),(147,1),(230,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(47,1),(84,1),(92,1),(94,1),(149,1),(152,1),(201,1),(231,1)}
        65:{1,4,7}:{(40,1),(48,1),(85,1),(92,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(49,1),(86,1),(92,1),(94,1),(107,1),(148,1),(150,1),(164,1),(200,1),(209,1),(230,1)}
        67:{1,3,5,7}:{(42,1),(50,1),(87,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(49,1),(96,1),(97,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(51,1),(96,1),(98,1),(157,1),(204,1)}
        70:{1,3,4,6,7}:{(44,1),(46,1),(52,1),(97,1),(98,1),(99,1),(154,1),(156,1),(204,1),(232,1)}
        71:{3,5,7}:{(45,1),(46,1),(54,1),(232,1)}
        72:{2,4,6}:{(47,1),(48,1),(92,1),(100,1),(101,1),(243,1)}
        73:{3,4,7}:{(48,1),(50,1),(101,1),(241,1)}
        74:{2,4,5,6}:{(49,1),(51,1),(96,1),(100,1),(103,1),(106,1),(162,1)}
        75:{3,6}:{(49,1),(50,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(104,1),(105,1),(159,1),(232,1),(233,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(98,1),(103,1),(106,1),(149,1)}
        78:{2,4,6}:{(52,1),(53,1),(104,1),(106,1),(107,1),(164,1)}
        79:{1,4,5,7}:{(53,1),(105,1),(107,1),(151,1),(157,1),(201,1),(204,1),(206,1)}
        80:{2,5,6,7}:{(55,1),(58,1),(108,1),(167,1),(212,1)}
        81:{1,4,6,7}:{(55,1),(56,1),(60,1),(108,1),(109,1)}
        82:{2,4,5,7}:{(56,1),(62,1),(109,1),(111,1),(167,1),(235,1)}
        83:{3,4,6,7}:{(56,1),(63,1),(111,1)}
        84:{2,3,5,6}:{(57,1),(58,1),(64,1),(112,1),(115,1),(123,1),(169,1),(177,1),(189,1),(223,1),(224,1)}
        85:{2,4,7}:{(57,1),(65,1),(112,1),(113,1)}
        86:{2,4,6}:{(58,1),(59,1),(60,1),(115,1)}
        87:{3,5,7}:{(59,1),(113,1),(115,1),(169,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(109,1),(114,1),(117,1),(120,1),(176,1),(217,1)}
        89:{1,3,4,6}:{(60,1),(61,1),(63,1),(115,1),(117,1),(118,1),(172,1),(174,1),(217,1),(238,1)}
        90:{2,4,5,7}:{(61,1),(116,1),(118,1),(119,1),(122,1),(167,1),(175,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        91:{3,5,6}:{(62,1),(63,1),(111,1),(129,1),(238,1)}
        92:{1,4,6}:{(64,1),(65,1),(72,1),(112,1),(120,1),(239,1)}
        93:{1,3,4,7}:{(65,1),(67,1),(73,1),(113,1),(121,1),(122,1),(239,1),(240,1),(244,1)}
        94:{1,3,6}:{(66,1),(67,1),(75,1),(115,1),(123,1),(224,1),(238,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(135,1),(175,1),(177,1),(187,1),(216,1),(223,1),(237,1)}
        96:{2,4,5,7}:{(68,1),(69,1),(74,1),(125,1),(127,1),(181,1)}
        97:{3,6,7}:{(68,1),(75,1),(125,1)}
        98:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(125,1),(127,1)}
        99:{2,4,6,7}:{(70,1),(78,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{2,4,5}:{(72,1),(120,1),(129,1),(177,1)}
       101:{3,4,6}:{(72,1),(73,1),(75,1),(129,1),(238,1),(244,1)}
       102:{2,3,4,7}:{(73,1),(76,1),(122,1),(130,1),(131,1),(181,1),(216,1),(240,1)}
       103:{3,5,6}:{(74,1),(75,1),(125,1),(129,1),(132,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(224,1)}
       105:{1,3,5,7}:{(76,1),(79,1),(131,1),(134,1),(135,1),(185,1)}
       106:{2,5,6}:{(77,1),(78,1),(127,1),(136,1),(177,1)}
       107:{1,4,6}:{(78,1),(79,1),(134,1),(136,1)}
       108:{2,4,6,7}:{(80,1),(81,1),(86,1),(137,1),(138,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(88,1),(137,1),(139,1),(193,1),(225,1)}
       110:{1,3,4,6,7}:{(81,1),(83,1),(89,1),(138,1),(139,1),(140,1),(190,1),(192,1),(225,1),(241,1)}
       111:{3,5,7}:{(82,1),(83,1),(91,1),(241,1)}
       112:{2,4,6}:{(84,1),(85,1),(92,1),(141,1),(142,1),(234,1)}
       113:{3,4,7}:{(85,1),(87,1),(142,1),(232,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(137,1),(141,1),(144,1),(147,1),(198,1)}
       115:{3,6}:{(86,1),(87,1)}
       116:{2,3,5,7}:{(87,1),(90,1),(143,1),(145,1),(146,1),(195,1),(241,1),(242,1)}
       117:{1,3,5,6}:{(88,1),(89,1),(91,1),(139,1),(144,1),(147,1),(149,1)}
       118:{2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(200,1)}
       119:{1,4,5,7}:{(90,1),(146,1),(148,1),(151,1),(193,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(100,1),(141,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(101,1),(142,1),(149,1),(150,1)}
       122:{2,4,7}:{(93,1),(95,1),(150,1),(151,1),(234,1),(243,1)}
       123:{2,3,6}:{(94,1),(95,1),(150,1),(152,1),(164,1),(200,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(97,1),(103,1),(154,1)}
       126:{2,3,6,7}:{(97,1),(99,1),(104,1),(155,1),(156,1),(232,1)}
       127:{2,5,7}:{(98,1),(99,1),(106,1),(157,1)}
       128:{1,4,6,7}:{(99,1),(107,1),(156,1),(157,1),(204,1)}
       129:{3,5}:{(100,1),(101,1)}
       130:{2,3,4,6}:{(101,1),(102,1),(104,1),(150,1),(159,1),(160,1),(162,1),(229,1),(243,1)}
       131:{1,3,4,7}:{(102,1),(105,1),(151,1),(160,1),(161,1),(203,1),(204,1),(232,1)}
       132:{3,4,6}:{(103,1),(154,1),(158,1),(162,1)}
       133:{2,3,5,6}:{(103,1),(104,1),(106,1),(155,1),(159,1),(162,1),(163,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(164,1)}
       135:{2,5,7}:{(105,1),(161,1),(164,1),(207,1)}
       136:{1,5,6}:{(106,1),(107,1),(157,1),(201,1)}
       137:{2,4,5,7}:{(108,1),(109,1),(114,1),(165,1),(167,1),(210,1)}
       138:{3,6,7}:{(108,1),(115,1),(165,1)}
       139:{1,3,5,7}:{(109,1),(110,1),(111,1),(117,1),(165,1),(167,1)}
       140:{2,4,6,7}:{(110,1),(118,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{2,4,5}:{(112,1),(120,1),(169,1),(177,1)}
       142:{3,4,6}:{(112,1),(113,1),(115,1),(169,1),(224,1),(240,1)}
       143:{2,3,4,7}:{(113,1),(116,1),(122,1),(170,1),(171,1),(187,1),(210,1),(244,1)}
       144:{3,5,6}:{(114,1),(115,1),(165,1),(169,1),(172,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(238,1)}
       146:{1,3,5,7}:{(116,1),(119,1),(171,1),(174,1),(175,1),(214,1)}
       147:{2,5,6}:{(117,1),(118,1),(167,1),(176,1),(177,1)}
       148:{1,4,6}:{(118,1),(119,1),(174,1),(176,1)}
       149:{1,3,5}:{(120,1),(121,1),(129,1),(169,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,4,7}:{(122,1),(124,1),(178,1),(239,1)}
       152:{1,3,6}:{(123,1),(124,1),(178,1),(180,1)}
       153:{1,2,5,7}:{(124,1),(135,1),(175,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(132,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(181,1),(182,1)}
       156:{1,3,6,7}:{(126,1),(128,1),(134,1),(182,1),(183,1)}
       157:{1,5,7}:{(127,1),(128,1),(136,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,3,5}:{(129,1),(130,1),(177,1),(184,1),(185,1)}
       160:{1,3,4,6}:{(130,1),(131,1),(134,1),(178,1),(185,1),(186,1),(188,1),(220,1),(224,1),(239,1),(240,1)}
       161:{2,4,7}:{(131,1),(135,1),(186,1),(187,1)}
       162:{2,4,6}:{(132,1),(133,1),(181,1),(184,1),(188,1)}
       163:{1,3,5,6}:{(133,1),(134,1),(136,1),(182,1),(185,1),(188,1),(189,1),(224,1)}
       164:{2,6}:{(134,1),(135,1)}
       165:{3,5,7}:{(137,1),(138,1),(144,1),(190,1)}
       166:{2,3,6,7}:{(138,1),(140,1),(145,1),(191,1),(192,1),(241,1)}
       167:{2,5,7}:{(139,1),(140,1),(147,1),(193,1)}
       168:{1,4,6,7}:{(140,1),(148,1),(192,1),(193,1),(225,1)}
       169:{3,5}:{(141,1),(142,1)}
       170:{2,3,4,6}:{(142,1),(143,1),(145,1),(150,1),(195,1),(196,1),(198,1),(208,1),(234,1)}
       171:{1,3,4,7}:{(143,1),(146,1),(151,1),(196,1),(197,1),(203,1),(225,1),(241,1)}
       172:{3,4,6}:{(144,1),(190,1),(194,1),(198,1)}
       173:{2,3,5,6}:{(144,1),(145,1),(147,1),(191,1),(195,1),(198,1),(199,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(200,1)}
       175:{2,5,7}:{(146,1),(197,1),(200,1),(228,1)}
       176:{1,5,6}:{(147,1),(148,1),(193,1),(201,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,4,7}:{(151,1),(153,1),(161,1),(197,1),(202,1),(203,1)}
       180:{1,2,6}:{(152,1),(153,1),(164,1),(200,1)}
       181:{2,4,7}:{(154,1),(155,1),(162,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(156,1),(164,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(162,1),(206,1),(243,1)}
       185:{1,3,5}:{(159,1),(160,1),(201,1),(206,1),(207,1),(233,1)}
       186:{2,4,6}:{(160,1),(161,1),(164,1),(207,1),(208,1),(234,1)}
       187:{2,3,7}:{(161,1),(203,1),(208,1),(232,1)}
       188:{1,4,6}:{(162,1),(163,1),(204,1),(206,1),(209,1)}
       189:{2,5,6}:{(163,1),(164,1),(205,1),(207,1),(209,1)}
       190:{3,4,7}:{(165,1),(172,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(173,1),(210,1),(211,1)}
       192:{1,3,6,7}:{(166,1),(168,1),(174,1),(211,1),(212,1)}
       193:{1,5,7}:{(167,1),(168,1),(176,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,3,5}:{(169,1),(170,1),(177,1),(213,1),(214,1)}
       196:{1,3,4,6}:{(170,1),(171,1),(174,1),(178,1),(214,1),(215,1),(217,1),(220,1),(238,1),(239,1),(244,1)}
       197:{2,4,7}:{(171,1),(175,1),(215,1),(216,1)}
       198:{2,4,6}:{(172,1),(173,1),(210,1),(213,1),(217,1)}
       199:{1,3,5,6}:{(173,1),(174,1),(176,1),(211,1),(214,1),(217,1),(218,1),(238,1)}
       200:{2,6}:{(174,1),(175,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(186,1),(215,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(179,1),(187,1),(216,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(188,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(189,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(188,1),(222,1),(239,1)}
       207:{2,5}:{(185,1),(186,1)}
       208:{2,3,6}:{(186,1),(187,1),(220,1),(223,1),(224,1)}
       209:{2,4,6}:{(188,1),(189,1),(221,1),(222,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(198,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(199,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(192,1),(200,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(198,1),(227,1),(234,1)}
       214:{1,3,5}:{(195,1),(196,1),(201,1),(227,1),(228,1),(242,1)}
       215:{2,4,6}:{(196,1),(197,1),(200,1),(228,1),(229,1),(243,1)}
       216:{2,3,7}:{(197,1),(203,1),(229,1),(241,1)}
       217:{1,4,6}:{(198,1),(199,1),(225,1),(227,1),(230,1)}
       218:{2,5,6}:{(199,1),(200,1),(226,1),(228,1),(230,1)}
       219:{1,2,5}:{(201,1),(202,1),(207,1),(228,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(208,1),(229,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(209,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(209,1),(233,1),(234,1)}
       223:{2,3,5}:{(207,1),(208,1),(231,1),(233,1),(234,1)}
       224:{3,6}:{(209,1),(232,1),(233,1)}
       225:{1,4,7}:{(210,1),(211,1),(217,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(218,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(217,1),(236,1),(239,1)}
       228:{2,5}:{(214,1),(215,1)}
       229:{2,3,6}:{(215,1),(216,1),(220,1),(237,1),(238,1)}
       230:{2,4,6}:{(217,1),(218,1),(235,1),(236,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(223,1),(237,1),(239,1)}
       232:{3,7}:{(221,1),(224,1)}
       233:{3,5}:{(222,1),(224,1),(240,1)}
       234:{2,4}:{(223,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(230,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(230,1),(242,1),(243,1)}
       237:{2,3,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(241,1),(242,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1260 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(22,1),(62,1),(111,1),(116,1),(117,1),(139,1),(140,1),(186,1),(189,1),(211,1)}
         1:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(28,1),(36,1),(43,1),(79,1),(90,1),(93,1),(95,1),(96,1),(148,1),(152,1),(157,1),(170,1),(176,1),(231,1),(236,1),(271,1),(274,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(43,1),(82,1),(95,1),(103,1),(152,1),(176,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(44,1),(105,1),(106,1),(146,1),(178,1),(218,1)}
         4:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(51,1),(56,1),(116,1),(117,1),(189,1)}
         5:{1,3,5,6,7}:{(14,1),(15,1),(16,1),(56,1),(108,1)}
         6:{1,3,5,7}:{(1,1),(17,1),(18,1),(19,1),(62,1),(130,1),(186,1),(189,1),(205,1),(211,1),(258,1),(291,1)}
         7:{1,2,4,6}:{(1,1),(19,1),(20,1),(24,1),(61,1),(66,1),(70,1),(127,1),(141,1),(184,1),(194,1),(255,1),(289,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(69,1),(186,1),(189,1),(211,1),(248,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(53,1),(60,1),(116,1),(132,1),(139,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(70,1)}
        11:{1,3,5,6}:{(3,1),(14,1),(25,1),(26,1),(62,1),(74,1)}
        12:{1,2,4,6,7}:{(7,1),(27,1),(28,1),(30,1),(75,1),(79,1),(80,1),(152,1),(164,1),(224,1),(274,1)}
        13:{2,4,6,7}:{(4,1),(10,1),(29,1),(30,1),(31,1),(80,1),(82,1),(152,1)}
        14:{1,3,5,7}:{(4,1),(11,1),(31,1),(32,1),(84,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(33,1),(34,1),(145,1)}
        16:{1,4,6,7}:{(5,1),(32,1),(34,1),(146,1),(155,1)}
        17:{1,3,4,7}:{(6,1),(36,1),(37,1),(79,1),(151,1),(236,1),(241,1),(278,1)}
        18:{2,3,5,7}:{(6,1),(36,1),(38,1),(39,1),(43,1),(95,1),(100,1),(157,1),(160,1),(175,1),(230,1)}
        19:{1,3,6}:{(6,1),(7,1),(39,1),(178,1),(218,1),(276,1)}
        20:{1,2,5,6}:{(7,1),(28,1),(40,1),(46,1),(95,1),(104,1),(145,1),(167,1),(170,1),(227,1),(285,1)}
        21:{2,3,4,7}:{(8,1),(36,1),(41,1),(42,1),(82,1),(151,1),(160,1),(221,1),(222,1),(241,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(41,1),(43,1),(44,1),(102,1),(271,1)}
        23:{2,3,6}:{(8,1),(10,1),(44,1),(178,1),(218,1),(270,1)}
        24:{1,4,6}:{(9,1),(10,1),(44,1),(46,1)}
        25:{2,5,6}:{(10,1),(11,1),(31,1),(46,1),(95,1)}
        26:{1,4,5,6}:{(11,1),(32,1),(47,1),(96,1),(105,1),(146,1),(180,1)}
        27:{1,3,6,7}:{(12,1),(19,1),(49,1),(50,1),(189,1),(289,1),(291,1)}
        28:{1,2,5,7}:{(12,1),(20,1),(50,1),(53,1),(110,1),(115,1),(201,1),(252,1),(290,1)}
        29:{2,3,6,7}:{(13,1),(23,1),(51,1),(52,1),(56,1),(119,1),(189,1)}
        30:{1,4,6,7}:{(13,1),(24,1),(51,1),(53,1),(116,1)}
        31:{2,5,7}:{(13,1),(14,1),(25,1),(53,1)}
        32:{1,4,5,7}:{(14,1),(16,1),(26,1),(54,1),(116,1),(191,1)}
        33:{1,5,6,7}:{(15,1),(53,1),(55,1),(183,1)}
        34:{2,4,6,7}:{(15,1),(16,1),(54,1),(55,1),(56,1),(119,1),(184,1)}
        35:{1,3,4,5,7}:{(17,1),(58,1),(59,1),(62,1),(111,1),(120,1),(126,1),(186,1),(199,1),(200,1),(253,1),(254,1),(258,1),(291,1)}
        36:{2,4,7}:{(17,1),(18,1),(60,1),(61,1),(210,1),(257,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(61,1),(62,1),(66,1),(136,1)}
        38:{1,3,5,7}:{(18,1),(60,1),(63,1),(64,1),(130,1),(132,1),(205,1)}
        39:{2,3,6}:{(18,1),(19,1),(61,1),(64,1),(70,1),(194,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(50,1),(62,1),(65,1),(66,1),(205,1),(264,1),(265,1),(289,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(60,1),(67,1),(68,1),(116,1),(130,1),(189,1),(250,1),(251,1)}
        42:{2,3,4,6}:{(21,1),(23,1),(61,1),(68,1),(69,1),(72,1),(136,1),(197,1),(209,1),(213,1),(257,1),(266,1)}
        43:{2,5,7}:{(22,1),(67,1),(70,1),(138,1)}
        44:{1,3,6}:{(22,1),(23,1),(24,1),(70,1),(289,1)}
        45:{2,3,5,6}:{(23,1),(25,1),(52,1),(69,1),(71,1),(72,1),(74,1),(143,1),(213,1)}
        46:{1,5,6}:{(24,1),(25,1),(53,1),(132,1)}
        47:{2,4,5,6}:{(25,1),(26,1),(54,1),(72,1),(73,1),(74,1),(133,1),(141,1),(143,1),(184,1)}
        48:{1,3,4,6,7}:{(27,1),(37,1),(75,1),(76,1),(79,1),(146,1),(151,1),(218,1)}
        49:{2,3,6,7}:{(27,1),(39,1),(75,1),(77,1),(78,1),(80,1),(218,1),(224,1),(270,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(40,1),(78,1),(79,1),(271,1),(272,1)}
        51:{1,3,6,7}:{(29,1),(30,1),(44,1),(80,1),(81,1),(155,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(45,1),(81,1),(82,1),(84,1),(154,1),(222,1)}
        53:{1,5,7}:{(30,1),(31,1),(46,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(34,1),(47,1),(82,1),(83,1),(84,1),(152,1),(154,1)}
        55:{1,4,6,7}:{(33,1),(34,1),(83,1),(85,1),(217,1)}
        56:{3,6,7}:{(34,1),(84,1),(218,1)}
        57:{2,3,4,7}:{(36,1),(86,1),(87,1),(88,1),(100,1),(151,1),(221,1),(226,1),(278,1),(302,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(86,1),(90,1),(91,1),(95,1),(157,1),(163,1),(165,1),(226,1),(231,1),(274,1)}
        59:{1,3,4,6}:{(35,1),(91,1),(92,1),(146,1),(158,1),(218,1),(228,1),(229,1),(276,1)}
        60:{1,4,7}:{(36,1),(38,1),(94,1),(236,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(94,1),(95,1)}
        62:{1,3,5}:{(37,1),(95,1),(96,1),(172,1)}
        63:{1,2,5,7}:{(38,1),(43,1),(93,1),(97,1),(157,1),(170,1),(271,1)}
        64:{1,3,6}:{(38,1),(39,1),(94,1),(97,1)}
        65:{2,3,5,6}:{(39,1),(40,1),(78,1),(95,1),(98,1),(99,1),(104,1),(145,1),(172,1),(175,1),(178,1),(218,1),(227,1),(230,1),(238,1),(239,1),(270,1),(276,1)}
        66:{1,4,6}:{(40,1),(79,1),(96,1),(99,1),(236,1)}
        67:{2,4,7}:{(41,1),(43,1),(100,1),(101,1),(273,1)}
        68:{1,3,4,6}:{(41,1),(42,1),(44,1),(94,1),(101,1),(102,1),(105,1),(169,1),(178,1),(236,1),(240,1),(241,1),(244,1),(286,1)}
        69:{2,3,5}:{(42,1),(95,1),(102,1),(103,1),(172,1),(238,1)}
        70:{2,6}:{(43,1),(44,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(46,1),(81,1),(102,1),(104,1),(105,1),(178,1),(180,1),(244,1)}
        72:{2,4,6}:{(45,1),(82,1),(103,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(47,1),(83,1),(105,1),(107,1),(171,1),(217,1)}
        74:{3,5,6}:{(47,1),(84,1),(106,1),(172,1),(178,1),(218,1)}
        75:{2,4,6,7}:{(48,1),(49,1),(61,1),(109,1),(110,1),(114,1),(184,1)}
        76:{1,3,5,7}:{(48,1),(62,1),(108,1),(110,1),(111,1),(186,1)}
        77:{1,3,6,7}:{(49,1),(64,1),(109,1),(112,1),(113,1),(247,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(65,1),(110,1),(113,1),(114,1),(115,1),(186,1),(189,1),(248,1),(249,1),(252,1),(291,1)}
        79:{1,4,7}:{(50,1),(66,1),(114,1)}
        80:{2,6,7}:{(51,1),(70,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(71,1),(115,1),(116,1),(189,1),(191,1),(251,1)}
        82:{2,4,7}:{(52,1),(72,1),(116,1),(117,1)}
        83:{1,4,5,7}:{(53,1),(54,1),(55,1),(73,1),(116,1),(118,1)}
        84:{3,5,7}:{(54,1),(56,1),(74,1),(117,1),(189,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(118,1),(119,1),(247,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(120,1),(121,1),(124,1),(186,1),(248,1),(258,1),(291,1)}
        87:{1,3,4,7}:{(57,1),(60,1),(120,1),(122,1),(123,1),(130,1),(250,1),(253,1),(291,1),(309,1)}
        88:{2,3,4,6}:{(57,1),(61,1),(121,1),(123,1),(124,1),(136,1),(137,1),(196,1),(209,1),(210,1),(293,1),(295,1)}
        89:{1,3,4,6,7}:{(59,1),(125,1),(126,1),(182,1),(192,1),(246,1),(253,1),(254,1),(291,1)}
        90:{1,4,5,7}:{(58,1),(60,1),(120,1),(127,1),(132,1),(199,1),(201,1),(253,1)}
        91:{2,4,6}:{(58,1),(59,1),(121,1),(127,1),(128,1),(194,1)}
        92:{1,3,5,6}:{(59,1),(62,1),(126,1),(128,1),(129,1),(204,1)}
        93:{1,2,4,7}:{(60,1),(63,1),(67,1),(122,1),(130,1),(131,1),(250,1),(290,1)}
        94:{1,4,6}:{(60,1),(61,1),(64,1),(132,1)}
        95:{2,5}:{(61,1),(62,1),(132,1)}
        96:{1,4,5}:{(62,1),(66,1),(133,1),(264,1)}
        97:{1,2,6}:{(63,1),(64,1),(70,1),(194,1),(289,1)}
        98:{1,3,5,6}:{(64,1),(65,1),(113,1),(132,1),(134,1),(135,1),(183,1),(205,1),(207,1),(208,1),(247,1)}
        99:{2,4,6}:{(65,1),(66,1),(114,1),(133,1),(135,1),(136,1),(210,1),(257,1)}
       100:{2,3,7}:{(67,1),(130,1),(137,1),(189,1)}
       101:{2,4,6}:{(67,1),(68,1),(70,1),(137,1),(138,1),(210,1),(268,1),(300,1)}
       102:{1,3,5}:{(68,1),(69,1),(132,1),(138,1),(139,1),(211,1),(264,1)}
       103:{2,4,5}:{(69,1),(72,1),(139,1),(140,1),(257,1)}
       104:{2,5,6}:{(70,1),(71,1),(115,1),(138,1),(141,1),(268,1)}
       105:{1,4,6}:{(71,1),(72,1),(116,1),(139,1),(141,1)}
       106:{3,4,6}:{(72,1),(74,1),(117,1),(140,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(118,1),(142,1),(143,1),(207,1),(247,1)}
       108:{1,3,5,6}:{(76,1),(145,1),(146,1),(218,1)}
       109:{1,4,6,7}:{(75,1),(77,1),(94,1),(147,1),(150,1),(217,1)}
       110:{2,5,7}:{(75,1),(76,1),(95,1),(145,1),(147,1)}
       111:{1,4,5,7}:{(76,1),(79,1),(96,1),(146,1),(148,1),(271,1)}
       112:{1,2,6,7}:{(77,1),(80,1),(97,1),(149,1),(155,1),(224,1),(270,1),(301,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(98,1),(147,1),(149,1),(150,1),(220,1)}
       114:{2,4,7}:{(78,1),(79,1),(99,1),(150,1),(151,1)}
       115:{2,5,7}:{(80,1),(81,1),(104,1),(152,1),(273,1)}
       116:{1,4,7}:{(81,1),(82,1),(105,1),(152,1)}
       117:{3,4,7}:{(82,1),(84,1),(106,1)}
       118:{1,3,5,7}:{(83,1),(84,1),(85,1),(107,1),(153,1),(154,1)}
       119:{2,6,7}:{(85,1),(154,1),(155,1),(270,1)}
       120:{1,3,5,7}:{(86,1),(87,1),(90,1),(157,1),(158,1),(162,1),(271,1)}
       121:{2,3,6}:{(86,1),(91,1),(158,1),(218,1),(270,1),(276,1)}
       122:{2,4,7}:{(87,1),(157,1),(160,1),(161,1),(313,1)}
       123:{1,3,4,6}:{(87,1),(88,1),(94,1),(158,1),(161,1),(162,1),(169,1),(228,1),(236,1),(240,1),(276,1),(278,1),(304,1),(305,1)}
       124:{2,3,5}:{(88,1),(95,1),(162,1),(163,1),(172,1),(238,1)}
       125:{2,4,6,7}:{(89,1),(91,1),(156,1),(164,1),(165,1),(224,1),(226,1),(274,1)}
       126:{1,3,5,7}:{(89,1),(92,1),(165,1),(166,1),(234,1)}
       127:{1,4,6}:{(90,1),(91,1),(158,1),(167,1)}
       128:{2,5,6}:{(91,1),(92,1),(95,1),(165,1),(167,1)}
       129:{1,4,5,6}:{(92,1),(96,1),(146,1),(166,1),(168,1),(228,1),(282,1)}
       130:{1,3,7}:{(93,1),(100,1),(160,1),(169,1)}
       131:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(161,1),(169,1),(170,1),(236,1),(240,1),(285,1),(307,1)}
       132:{1,5}:{(94,1),(95,1)}
       133:{2,4,5}:{(95,1),(96,1),(99,1),(171,1),(172,1),(238,1)}
       134:{1,2,5,6}:{(97,1),(98,1),(104,1),(149,1),(170,1),(173,1),(180,1),(227,1),(238,1),(270,1),(282,1)}
       135:{1,4,6}:{(98,1),(99,1),(150,1),(171,1),(236,1)}
       136:{3,4,6}:{(99,1),(151,1),(172,1),(178,1),(218,1),(241,1),(276,1),(278,1)}
       137:{2,3,6}:{(100,1),(101,1),(169,1),(175,1),(178,1),(308,1)}
       138:{2,5}:{(101,1),(102,1)}
       139:{1,4,5}:{(102,1),(103,1),(105,1),(176,1),(236,1)}
       140:{3,4,5}:{(103,1),(106,1),(172,1),(278,1)}
       141:{2,4,6}:{(104,1),(105,1),(152,1),(176,1),(178,1)}
       142:{1,3,4,6}:{(105,1),(106,1),(107,1),(153,1),(177,1),(178,1),(179,1),(244,1)}
       143:{2,5,6}:{(107,1),(154,1),(179,1),(180,1),(238,1),(270,1)}
       144:{1,3,5,6,7}:{(108,1),(126,1),(181,1),(182,1),(246,1)}
       145:{2,5,6}:{(108,1),(110,1),(183,1),(184,1)}
       146:{1,4,6}:{(108,1),(111,1),(184,1),(289,1)}
       147:{1,5,7}:{(109,1),(110,1),(132,1),(183,1)}
       148:{2,4,5,7}:{(110,1),(111,1),(114,1),(133,1),(184,1),(185,1),(186,1),(248,1)}
       149:{1,2,5,7}:{(112,1),(113,1),(115,1),(134,1),(187,1),(191,1),(248,1),(252,1),(297,1)}
       150:{1,4,7}:{(113,1),(114,1),(135,1)}
       151:{3,4,7}:{(114,1),(136,1),(186,1),(189,1),(291,1)}
       152:{2,4,7}:{(115,1),(116,1),(141,1),(189,1)}
       153:{1,3,4,7}:{(116,1),(117,1),(118,1),(142,1),(189,1),(190,1),(251,1)}
       154:{2,5,7}:{(118,1),(119,1),(143,1),(190,1),(191,1)}
       155:{1,6,7}:{(119,1),(191,1),(289,1)}
       156:{2,3,6,7}:{(121,1),(125,1),(192,1),(193,1),(246,1),(288,1),(291,1)}
       157:{2,5,7}:{(120,1),(122,1),(194,1),(198,1)}
       158:{1,3,6}:{(120,1),(121,1),(127,1),(194,1),(289,1)}
       159:{2,3,5,6}:{(121,1),(124,1),(128,1),(193,1),(195,1),(196,1),(204,1),(261,1),(293,1)}
       160:{2,3,7}:{(122,1),(130,1),(197,1),(291,1)}
       161:{2,4,6}:{(122,1),(123,1),(194,1),(197,1),(198,1),(257,1),(310,1),(311,1)}
       162:{1,3,5}:{(123,1),(124,1),(132,1),(198,1),(199,1),(258,1),(264,1)}
       163:{2,4,5}:{(124,1),(196,1),(199,1),(200,1),(210,1)}
       164:{1,4,6,7}:{(125,1),(127,1),(192,1),(201,1),(253,1)}
       165:{2,5,7}:{(125,1),(126,1),(128,1),(201,1)}
       166:{1,4,5,7}:{(126,1),(129,1),(182,1),(202,1),(253,1),(297,1)}
       167:{1,5,6}:{(127,1),(128,1),(132,1),(201,1)}
       168:{2,4,5,6}:{(128,1),(129,1),(133,1),(184,1),(196,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6}:{(130,1),(131,1),(137,1),(197,1),(205,1),(312,1)}
       170:{1,2,5}:{(131,1),(132,1),(138,1),(198,1),(205,1),(264,1)}
       171:{1,4,5}:{(132,1),(133,1),(135,1),(207,1)}
       172:{3,5}:{(133,1),(136,1)}
       173:{1,2,4,6}:{(134,1),(135,1),(141,1),(187,1),(206,1),(208,1),(209,1),(214,1),(255,1),(268,1),(294,1),(310,1)}
       174:{1,3,4,6}:{(135,1),(136,1),(188,1),(207,1),(208,1),(209,1),(247,1),(262,1)}
       175:{2,3,5}:{(137,1),(138,1),(205,1),(210,1),(211,1)}
       176:{2,4,5}:{(138,1),(139,1),(141,1),(210,1),(211,1)}
       177:{1,3,4,5}:{(139,1),(140,1),(142,1),(207,1),(211,1),(212,1),(262,1),(267,1)}
       178:{3,6}:{(141,1),(189,1),(211,1)}
       179:{2,4,6}:{(142,1),(143,1),(190,1),(212,1),(213,1),(214,1),(268,1)}
       180:{1,5,6}:{(143,1),(191,1),(214,1),(264,1),(289,1)}
       181:{2,5,6,7}:{(144,1),(145,1),(165,1),(215,1),(216,1)}
       182:{1,4,6,7}:{(144,1),(146,1),(166,1),(216,1),(301,1)}
       183:{1,5,6}:{(145,1),(147,1),(217,1)}
       184:{2,4,6}:{(145,1),(146,1),(148,1),(217,1),(218,1),(270,1)}
       185:{1,4,5,7}:{(147,1),(148,1),(150,1),(171,1),(217,1),(219,1)}
       186:{3,5,7}:{(148,1),(151,1),(172,1),(218,1)}
       187:{1,2,4,7}:{(149,1),(150,1),(152,1),(173,1),(220,1),(221,1),(223,1),(273,1),(274,1),(303,1),(313,1)}
       188:{1,3,4,7}:{(150,1),(151,1),(174,1),(219,1),(220,1),(221,1)}
       189:{3,7}:{(152,1),(178,1)}
       190:{2,4,7}:{(153,1),(154,1),(179,1),(222,1),(223,1),(273,1)}
       191:{1,5,7}:{(154,1),(155,1),(180,1),(223,1)}
       192:{1,3,6,7}:{(156,1),(158,1),(164,1),(224,1),(225,1),(301,1)}
       193:{2,3,5,7}:{(156,1),(159,1),(165,1),(225,1),(226,1),(234,1),(281,1),(302,1)}
       194:{2,6}:{(157,1),(158,1)}
       195:{1,3,5,6}:{(158,1),(159,1),(162,1),(167,1),(225,1),(227,1),(228,1),(276,1),(282,1),(304,1)}
       196:{2,4,6}:{(159,1),(163,1),(226,1),(228,1),(229,1)}
       197:{2,3,6}:{(160,1),(161,1),(169,1),(230,1),(276,1),(314,1)}
       198:{2,5}:{(161,1),(162,1)}
       199:{1,4,5}:{(162,1),(163,1),(228,1),(231,1),(236,1)}
       200:{3,4,5}:{(163,1),(172,1),(229,1),(241,1)}
       201:{1,5,7}:{(164,1),(165,1),(167,1)}
       202:{2,4,5,7}:{(165,1),(166,1),(168,1),(216,1),(226,1),(233,1),(234,1),(274,1),(281,1)}
       203:{1,4,5,6}:{(167,1),(168,1),(171,1),(217,1),(228,1),(233,1),(235,1)}
       204:{3,5,6}:{(168,1),(172,1),(218,1),(229,1),(234,1),(276,1)}
       205:{1,3,5}:{(169,1),(170,1),(175,1),(230,1),(236,1)}
       206:{1,2,4,5}:{(170,1),(171,1),(173,1),(176,1),(231,1),(236,1),(237,1),(238,1),(243,1),(280,1),(283,1),(287,1),(306,1),(307,1)}
       207:{1,3,5}:{(171,1),(172,1),(174,1),(238,1)}
       208:{1,3,6}:{(173,1),(178,1),(220,1),(237,1),(239,1),(276,1)}
       209:{2,4,6}:{(174,1),(221,1),(238,1),(239,1),(240,1),(270,1),(283,1)}
       210:{2,4}:{(175,1),(236,1),(241,1)}
       211:{3,5}:{(176,1),(178,1),(241,1)}
       212:{2,4,5}:{(177,1),(179,1),(238,1),(242,1),(243,1),(283,1),(287,1)}
       213:{2,3,6}:{(178,1),(179,1),(222,1),(242,1),(244,1)}
       214:{1,4,6}:{(179,1),(180,1),(223,1),(243,1),(244,1)}
       215:{1,5,6,7}:{(181,1),(183,1),(201,1),(245,1)}
       216:{2,4,6,7}:{(181,1),(182,1),(184,1),(202,1),(245,1),(246,1),(288,1)}
       217:{1,4,6}:{(183,1),(184,1),(185,1),(247,1)}
       218:{3,6}:{(184,1),(186,1)}
       219:{1,3,5,7}:{(185,1),(186,1),(188,1),(207,1),(247,1),(248,1)}
       220:{1,3,7}:{(187,1),(189,1),(208,1),(249,1),(291,1)}
       221:{2,4,7}:{(188,1),(209,1),(248,1),(249,1),(250,1)}
       222:{2,3,7}:{(189,1),(190,1),(213,1),(251,1)}
       223:{1,4,7}:{(190,1),(191,1),(214,1),(251,1)}
       224:{2,6,7}:{(192,1),(194,1),(252,1)}
       225:{1,3,5,7}:{(192,1),(193,1),(195,1),(201,1),(252,1),(253,1),(291,1),(297,1),(309,1)}
       226:{2,4,7}:{(193,1),(196,1),(253,1),(254,1)}
       227:{2,5,6}:{(194,1),(195,1),(198,1),(252,1),(255,1),(310,1)}
       228:{1,4,6}:{(195,1),(196,1),(199,1),(253,1),(255,1)}
       229:{3,4,6}:{(196,1),(200,1),(204,1),(254,1)}
       230:{2,3,5}:{(197,1),(198,1),(205,1),(257,1),(258,1)}
       231:{2,4,5}:{(198,1),(199,1),(255,1),(257,1),(258,1)}
       232:{1,3,4,5}:{(199,1),(200,1),(207,1),(256,1),(258,1),(259,1),(262,1),(296,1)}
       233:{1,4,5,7}:{(201,1),(202,1),(203,1),(245,1),(253,1),(260,1)}
       234:{3,5,7}:{(202,1),(204,1),(246,1),(254,1),(291,1)}
       235:{1,3,5,6}:{(203,1),(204,1),(207,1),(247,1),(256,1),(260,1),(261,1)}
       236:{1,4}:{(205,1),(210,1),(257,1)}
       237:{1,3,5}:{(206,1),(208,1),(211,1),(258,1),(262,1),(263,1),(312,1)}
       238:{2,5}:{(207,1),(209,1),(264,1)}
       239:{2,3,6}:{(208,1),(209,1),(249,1),(263,1),(265,1),(268,1),(310,1)}
       240:{1,4,6}:{(209,1),(250,1),(264,1),(265,1),(289,1),(298,1)}
       241:{3,4}:{(210,1),(211,1)}
       242:{2,3,5}:{(211,1),(212,1),(213,1),(266,1),(267,1)}
       243:{1,4,5}:{(212,1),(214,1),(264,1),(267,1),(298,1)}
       244:{1,3,6}:{(213,1),(214,1),(251,1),(267,1),(268,1)}
       245:{1,4,6,7}:{(215,1),(216,1),(217,1),(233,1),(269,1)}
       246:{3,6,7}:{(216,1),(218,1),(234,1)}
       247:{1,3,6}:{(217,1),(218,1),(219,1),(270,1)}
       248:{2,5,7}:{(219,1),(221,1),(238,1),(270,1),(271,1)}
       249:{2,3,7}:{(220,1),(221,1),(239,1),(272,1),(273,1),(313,1)}
       250:{1,4,7}:{(221,1),(240,1),(271,1),(272,1)}
       251:{1,3,7}:{(222,1),(223,1),(244,1),(273,1)}
       252:{2,5,7}:{(224,1),(225,1),(227,1),(274,1),(313,1)}
       253:{1,4,7}:{(225,1),(226,1),(228,1),(274,1)}
       254:{3,4,7}:{(226,1),(229,1),(234,1)}
       255:{2,4,6}:{(227,1),(228,1),(231,1),(274,1),(276,1)}
       256:{1,3,4,6}:{(228,1),(229,1),(232,1),(235,1),(275,1),(276,1),(277,1),(304,1)}
       257:{2,4}:{(230,1),(236,1),(278,1)}
       258:{3,5}:{(231,1),(276,1),(278,1)}
       259:{2,4,5}:{(232,1),(238,1),(277,1),(279,1),(280,1),(283,1),(306,1)}
       260:{1,3,5,7}:{(233,1),(234,1),(235,1),(269,1),(275,1),(281,1)}
       261:{2,5,6}:{(235,1),(238,1),(270,1),(277,1),(281,1),(282,1)}
       262:{1,3,4}:{(236,1),(237,1),(241,1),(278,1),(283,1)}
       263:{2,3,5}:{(237,1),(238,1),(239,1),(283,1),(284,1),(287,1),(306,1),(308,1),(314,1)}
       264:{1,5}:{(238,1),(240,1)}
       265:{1,3,6}:{(239,1),(240,1),(272,1),(284,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(283,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(273,1),(287,1)}
       269:{1,3,6,7}:{(245,1),(246,1),(247,1),(260,1),(288,1)}
       270:{2,6}:{(247,1),(248,1),(289,1)}
       271:{1,5,7}:{(248,1),(250,1),(264,1),(289,1)}
       272:{1,3,7}:{(249,1),(250,1),(265,1),(290,1)}
       273:{2,7}:{(251,1),(268,1)}
       274:{2,4,7}:{(252,1),(253,1),(255,1),(291,1)}
       275:{1,3,4,7}:{(253,1),(254,1),(256,1),(260,1),(291,1),(292,1),(309,1)}
       276:{3,6}:{(255,1),(258,1),(291,1)}
       277:{2,4,6}:{(256,1),(259,1),(261,1),(292,1),(293,1),(294,1),(310,1)}
       278:{3,4}:{(257,1),(258,1)}
       279:{2,3,5}:{(258,1),(259,1),(293,1),(295,1),(296,1)}
       280:{1,4,5}:{(259,1),(264,1),(294,1),(296,1),(298,1)}
       281:{2,5,7}:{(260,1),(261,1),(288,1),(292,1),(297,1)}
       282:{1,5,6}:{(261,1),(264,1),(289,1),(294,1),(297,1)}
       283:{2,4}:{(262,1),(263,1),(298,1)}
       284:{1,3,5}:{(263,1),(264,1),(265,1),(298,1),(299,1),(312,1)}
       285:{1,2,6}:{(265,1),(268,1),(290,1),(299,1),(310,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{2,6,7}:{(269,1),(270,1),(281,1),(301,1)}
       289:{1,6}:{(270,1),(271,1)}
       290:{1,2,7}:{(272,1),(273,1),(285,1),(313,1)}
       291:{3,7}:{(274,1),(276,1)}
       292:{2,4,7}:{(275,1),(277,1),(281,1),(302,1),(303,1),(313,1)}
       293:{2,3,6}:{(276,1),(277,1),(279,1),(302,1),(304,1)}
       294:{1,4,6}:{(277,1),(280,1),(282,1),(303,1),(304,1)}
       295:{2,3,4}:{(278,1),(279,1),(283,1),(305,1),(308,1)}
       296:{1,3,5}:{(279,1),(280,1),(304,1),(305,1),(306,1)}
       297:{1,5,7}:{(281,1),(282,1),(301,1),(303,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{1,2,5}:{(284,1),(285,1),(287,1),(306,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{1,6,7}:{(288,1),(289,1),(297,1)}
       302:{2,3,7}:{(291,1),(292,1),(293,1),(309,1)}
       303:{1,4,7}:{(292,1),(294,1),(297,1),(309,1)}
       304:{1,3,6}:{(293,1),(294,1),(296,1),(309,1),(310,1)}
       305:{1,3,4}:{(295,1),(296,1),(298,1),(311,1),(312,1)}
       306:{2,5}:{(296,1),(310,1),(311,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1261 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(46,1),(135,1),(142,1),(157,1),(162,1),(197,1),(200,1),(206,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(21,1),(28,1),(107,1),(111,1),(128,1),(131,1),(174,1),(194,1),(228,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(69,1),(127,1),(224,1),(227,1),(233,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(77,1),(90,1),(135,1),(142,1),(145,1),(148,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(45,1),(90,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(14,1),(45,1),(144,1),(156,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(37,1),(82,1),(100,1),(205,1),(222,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(48,1),(98,1),(101,1),(253,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(207,1),(210,1)}
         9:{1,3,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(24,1),(54,1),(63,1),(107,1),(111,1),(121,1),(174,1),(181,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(21,1),(22,1),(177,1),(180,1)}
        11:{1,3,5,6,7}:{(4,1),(21,1),(23,1),(24,1),(63,1),(67,1),(121,1)}
        12:{2,4,6,7}:{(4,1),(22,1),(24,1),(25,1)}
        13:{1,4,5,6,7}:{(5,1),(24,1),(26,1),(27,1),(67,1),(115,1),(124,1)}
        14:{3,5,6,7}:{(5,1),(25,1),(177,1),(188,1)}
        15:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(55,1),(68,1),(107,1),(126,1),(128,1),(166,1),(228,1),(229,1),(247,1),(273,1)}
        16:{2,3,5,7}:{(6,1),(28,1),(30,1),(31,1),(73,1),(232,1),(249,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(21,1),(32,1),(33,1),(75,1),(238,1)}
        19:{2,4,5,6}:{(8,1),(22,1),(33,1),(34,1),(127,1)}
        20:{2,4,6,7}:{(9,1),(17,1),(36,1),(37,1),(82,1),(153,1),(205,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(18,1),(37,1),(38,1),(83,1),(211,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(19,1),(38,1),(39,1),(135,1)}
        23:{2,5,6,7}:{(11,1),(37,1),(42,1),(153,1)}
        24:{1,4,6,7}:{(11,1),(12,1),(38,1),(42,1)}
        25:{3,4,6,7}:{(12,1),(14,1),(39,1)}
        26:{2,4,5,6,7}:{(13,1),(42,1),(44,1),(45,1),(88,1),(93,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(45,1),(147,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(46,1),(47,1),(48,1),(97,1),(197,1),(255,1),(270,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(48,1),(49,1),(95,1),(98,1),(196,1),(253,1),(289,1)}
        30:{2,3,4,7}:{(16,1),(47,1),(50,1),(82,1),(271,1)}
        31:{2,3,6}:{(16,1),(17,1),(48,1)}
        32:{2,5,6}:{(17,1),(18,1),(37,1)}
        33:{1,4,5,6}:{(18,1),(19,1),(38,1),(52,1),(98,1)}
        34:{3,4,5,6}:{(19,1),(39,1),(158,1),(207,1)}
        35:{1,2,4,6,7}:{(20,1),(29,1),(54,1),(55,1),(104,1),(107,1),(181,1),(182,1),(229,1)}
        36:{2,3,6,7}:{(20,1),(31,1),(54,1),(57,1),(63,1),(232,1)}
        37:{2,5,7}:{(20,1),(21,1),(32,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(24,1),(33,1),(58,1),(107,1)}
        39:{3,4,5,7}:{(22,1),(25,1),(34,1),(167,1),(177,1)}
        40:{1,2,5,6,7}:{(23,1),(55,1),(60,1),(61,1),(67,1),(125,1),(165,1),(180,1),(182,1),(238,1),(239,1),(281,1)}
        41:{2,3,5,6,7}:{(23,1),(57,1),(60,1),(62,1),(63,1),(109,1),(117,1),(119,1),(180,1),(281,1),(282,1),(305,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(58,1),(63,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1),(64,1),(65,1),(121,1),(124,1),(188,1)}
        44:{3,5,6,7}:{(26,1),(63,1),(65,1),(119,1)}
        45:{2,5,6,7}:{(27,1),(64,1),(67,1),(180,1)}
        46:{2,3,5,7}:{(28,1),(68,1),(69,1),(126,1),(273,1),(274,1),(287,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(68,1),(70,1),(107,1),(167,1),(288,1)}
        48:{1,3,6}:{(28,1),(29,1),(31,1),(69,1),(224,1)}
        49:{1,2,5,6}:{(29,1),(32,1),(55,1),(71,1),(126,1),(165,1),(238,1)}
        50:{2,3,4,6}:{(30,1),(31,1),(70,1),(73,1),(74,1)}
        51:{2,3,5,6}:{(31,1),(32,1),(57,1),(71,1),(73,1),(74,1),(75,1)}
        52:{2,4,5,6}:{(32,1),(33,1),(58,1),(74,1),(75,1)}
        53:{1,3,4,5,6}:{(33,1),(34,1),(59,1),(75,1),(76,1),(122,1),(129,1),(133,1),(179,1),(186,1),(243,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(48,1),(77,1),(79,1),(255,1)}
        55:{1,2,5,7}:{(35,1),(37,1),(49,1),(79,1),(134,1),(211,1)}
        56:{2,3,4,6,7}:{(36,1),(50,1),(78,1),(81,1),(82,1),(89,1),(140,1),(148,1),(198,1),(250,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(51,1),(79,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(52,1),(82,1),(83,1)}
        59:{1,3,4,5,7}:{(38,1),(39,1),(43,1),(53,1),(83,1),(84,1),(92,1),(138,1),(143,1),(147,1),(155,1),(217,1)}
        60:{1,3,5,6,7}:{(40,1),(41,1),(79,1),(85,1),(86,1),(87,1),(136,1),(147,1),(149,1),(211,1),(260,1),(264,1)}
        61:{1,2,4,6,7}:{(40,1),(42,1),(80,1),(86,1),(87,1),(91,1),(148,1),(153,1),(156,1),(196,1),(253,1),(289,1),(294,1)}
        62:{2,4,6,7}:{(41,1),(82,1),(86,1),(88,1),(89,1),(140,1),(294,1),(297,1)}
        63:{3,6,7}:{(42,1),(83,1)}
        64:{2,4,6,7}:{(43,1),(45,1),(84,1),(90,1),(91,1),(153,1)}
        65:{3,4,6,7}:{(44,1),(92,1),(93,1)}
        66:{2,3,5,6,7}:{(44,1),(45,1),(90,1),(93,1),(94,1),(151,1)}
        67:{1,5,6,7}:{(45,1),(91,1),(211,1)}
        68:{2,4,7}:{(46,1),(47,1),(95,1),(300,1)}
        69:{2,3,6}:{(46,1),(48,1),(95,1),(289,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(50,1),(95,1),(97,1),(98,1),(158,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(79,1),(96,1),(97,1),(98,1)}
        72:{1,2,4,5,6}:{(49,1),(52,1),(80,1),(98,1),(99,1),(103,1),(146,1),(157,1),(160,1),(164,1),(196,1),(210,1),(216,1),(220,1),(221,1),(253,1),(263,1),(268,1),(289,1),(294,1),(298,1),(312,1)}
        73:{2,3,5}:{(50,1),(97,1),(100,1)}
        74:{2,4,6}:{(51,1),(82,1),(98,1),(100,1),(101,1)}
        75:{3,5,6}:{(52,1),(83,1),(101,1)}
        76:{2,4,5,6}:{(53,1),(84,1),(102,1),(103,1),(160,1),(164,1),(210,1)}
        77:{2,3,6,7}:{(54,1),(69,1),(104,1),(105,1),(224,1),(274,1)}
        78:{1,3,4,6,7}:{(54,1),(56,1),(70,1),(104,1),(106,1),(107,1),(167,1),(168,1),(181,1),(224,1),(226,1),(272,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(57,1),(71,1),(105,1),(107,1)}
        80:{1,2,4,5,7}:{(55,1),(58,1),(61,1),(72,1),(107,1),(108,1),(113,1),(115,1),(166,1),(170,1),(175,1),(180,1),(187,1),(228,1),(229,1),(239,1),(273,1),(280,1),(284,1)}
        81:{2,3,5,7}:{(56,1),(73,1),(106,1),(109,1),(110,1),(119,1),(180,1)}
        82:{2,4,7}:{(57,1),(74,1),(107,1),(111,1)}
        83:{3,5,7}:{(58,1),(63,1),(75,1),(111,1)}
        84:{2,4,5,7}:{(59,1),(64,1),(76,1),(112,1),(113,1),(170,1),(175,1),(180,1)}
        85:{2,3,5,6,7}:{(60,1),(105,1),(114,1),(117,1),(125,1),(165,1),(177,1),(180,1),(188,1),(224,1),(235,1),(242,1)}
        86:{1,4,6,7}:{(60,1),(62,1),(107,1),(114,1),(115,1),(168,1),(279,1),(284,1)}
        87:{1,3,6,7}:{(61,1),(63,1),(108,1),(117,1),(188,1),(224,1),(272,1),(305,1)}
        88:{2,4,5,7}:{(62,1),(115,1),(118,1),(119,1),(180,1)}
        89:{3,4,6,7}:{(62,1),(63,1),(111,1),(119,1),(172,1),(305,1),(306,1)}
        90:{2,3,6,7}:{(63,1),(64,1),(112,1),(121,1),(188,1)}
        91:{1,4,6,7}:{(64,1),(67,1),(113,1),(121,1)}
        92:{3,4,5,7}:{(65,1),(119,1),(122,1),(123,1),(306,1)}
        93:{2,4,6,7}:{(65,1),(66,1),(123,1),(124,1)}
        94:{1,3,5,6,7}:{(66,1),(67,1),(121,1),(124,1),(125,1),(184,1),(188,1)}
        95:{2,4,6}:{(68,1),(69,1),(70,1),(126,1)}
        96:{2,3,5,6}:{(69,1),(71,1),(105,1),(126,1),(127,1),(165,1),(189,1),(224,1)}
        97:{1,3,5}:{(70,1),(73,1),(126,1),(128,1),(189,1)}
        98:{1,4,6}:{(71,1),(74,1),(107,1),(127,1),(128,1)}
        99:{1,3,5,6}:{(72,1),(75,1),(108,1),(129,1),(130,1),(189,1),(224,1),(243,1),(245,1),(248,1),(272,1),(305,1),(314,1)}
       100:{2,4,5}:{(73,1),(74,1),(128,1),(131,1)}
       101:{3,4,6}:{(74,1),(75,1),(111,1),(131,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(112,1),(132,1),(133,1),(243,1)}
       103:{1,4,5,6}:{(76,1),(113,1),(133,1),(192,1),(238,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(95,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(96,1),(134,1),(135,1),(197,1)}
       106:{1,3,5,7}:{(78,1),(81,1),(97,1),(134,1),(136,1),(137,1),(197,1),(211,1)}
       107:{1,4,7}:{(79,1),(82,1),(98,1),(135,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(87,1),(99,1),(138,1),(139,1),(197,1),(217,1),(255,1),(295,1)}
       109:{2,3,5,6}:{(81,1),(136,1),(140,1),(150,1),(210,1),(250,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(100,1),(137,1),(140,1),(141,1)}
       111:{3,4,7}:{(82,1),(83,1),(101,1)}
       112:{2,3,5,7}:{(83,1),(84,1),(90,1),(102,1),(142,1),(143,1),(217,1)}
       113:{1,4,5,7}:{(84,1),(91,1),(103,1),(143,1),(201,1),(211,1)}
       114:{2,4,6,7}:{(85,1),(86,1),(135,1),(144,1),(145,1),(196,1),(258,1),(266,1)}
       115:{1,4,5,7}:{(86,1),(88,1),(144,1),(146,1),(147,1),(211,1)}
       116:{1,3,4,6,7}:{(86,1),(87,1),(89,1),(138,1),(145,1),(147,1),(148,1),(199,1)}
       117:{2,3,6,7}:{(87,1),(139,1),(148,1),(149,1),(153,1),(250,1),(289,1)}
       118:{2,4,5,6}:{(88,1),(140,1),(146,1),(150,1),(210,1),(294,1)}
       119:{3,5,7}:{(88,1),(89,1),(150,1)}
       120:{2,3,4,6,7}:{(89,1),(90,1),(93,1),(142,1),(148,1),(151,1),(152,1),(203,1),(262,1),(297,1)}
       121:{1,3,6,7}:{(90,1),(91,1),(143,1),(153,1)}
       122:{3,4,5,6}:{(92,1),(150,1),(154,1),(311,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(151,1),(154,1),(155,1),(297,1)}
       124:{1,4,6,7}:{(93,1),(94,1),(155,1),(156,1)}
       125:{2,5,6,7}:{(94,1),(153,1),(156,1),(214,1)}
       126:{2,5}:{(95,1),(97,1)}
       127:{2,4,6}:{(96,1),(98,1),(135,1),(157,1),(158,1)}
       128:{1,4,5}:{(97,1),(98,1),(100,1),(157,1)}
       129:{1,3,4,6}:{(98,1),(99,1),(101,1),(138,1),(158,1),(159,1),(160,1),(267,1),(298,1),(311,1)}
       130:{2,3,5,6}:{(99,1),(139,1),(160,1),(161,1),(164,1),(210,1),(218,1),(223,1),(250,1),(268,1),(269,1),(289,1)}
       131:{3,4,5}:{(100,1),(101,1)}
       132:{2,3,4,6}:{(101,1),(102,1),(142,1),(160,1),(162,1),(163,1),(267,1),(269,1)}
       133:{1,3,5,6}:{(102,1),(103,1),(143,1),(163,1),(164,1)}
       134:{2,5,7}:{(104,1),(106,1),(126,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(127,1),(167,1)}
       136:{1,3,5,6}:{(106,1),(109,1),(165,1),(168,1),(224,1),(238,1),(272,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(110,1),(128,1),(166,1),(168,1)}
       138:{1,3,4,7}:{(107,1),(108,1),(111,1),(129,1),(167,1),(170,1),(244,1),(284,1),(306,1)}
       139:{2,3,5,7}:{(108,1),(117,1),(130,1),(170,1),(171,1),(175,1),(180,1),(232,1),(273,1),(274,1)}
       140:{2,4,6}:{(109,1),(110,1),(168,1),(172,1)}
       141:{3,4,5,7}:{(110,1),(111,1),(119,1),(131,1),(172,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(132,1),(170,1),(174,1),(244,1),(274,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(121,1),(133,1),(174,1),(175,1)}
       144:{2,4,5,7}:{(114,1),(115,1),(176,1),(177,1),(180,1)}
       145:{3,4,6,7}:{(114,1),(167,1),(177,1),(188,1),(224,1),(233,1),(244,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(168,1),(176,1),(179,1),(238,1),(279,1)}
       147:{1,3,5,7}:{(115,1),(116,1),(119,1),(177,1),(179,1),(180,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(170,1),(180,1),(181,1),(227,1)}
       149:{1,3,6,7}:{(117,1),(171,1),(181,1),(182,1),(272,1)}
       150:{3,5,6}:{(118,1),(119,1),(172,1),(305,1)}
       151:{2,3,5,7}:{(119,1),(120,1),(123,1),(180,1),(183,1),(184,1)}
       152:{1,3,4,6,7}:{(120,1),(121,1),(124,1),(174,1),(181,1),(184,1),(185,1),(188,1),(230,1),(240,1),(244,1),(284,1)}
       153:{2,6,7}:{(121,1),(175,1)}
       154:{2,4,5,6}:{(122,1),(123,1),(183,1),(186,1),(307,1)}
       155:{1,4,5,7}:{(123,1),(124,1),(184,1),(186,1),(187,1),(284,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(187,1),(188,1)}
       157:{2,4,5}:{(126,1),(127,1),(128,1),(189,1)}
       158:{3,4,6}:{(127,1),(167,1),(189,1),(224,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(131,1),(189,1),(191,1),(245,1),(286,1),(308,1),(314,1)}
       160:{2,4,6}:{(129,1),(130,1),(170,1),(191,1),(192,1)}
       161:{1,3,5,6}:{(130,1),(171,1),(192,1),(193,1),(238,1),(245,1),(248,1),(272,1)}
       162:{2,3,4,5}:{(131,1),(132,1),(191,1),(194,1),(286,1),(287,1)}
       163:{1,3,4,6}:{(132,1),(133,1),(174,1),(192,1),(194,1),(195,1),(248,1)}
       164:{2,5,6}:{(133,1),(175,1),(195,1)}
       165:{2,5,6}:{(134,1),(136,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(157,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(158,1),(197,1)}
       168:{1,4,6}:{(136,1),(137,1),(140,1),(196,1)}
       169:{1,3,4,5,7}:{(137,1),(138,1),(141,1),(147,1),(159,1),(197,1),(199,1),(200,1),(206,1),(251,1),(259,1),(295,1)}
       170:{2,4,7}:{(138,1),(139,1),(160,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(149,1),(161,1),(201,1),(202,1),(211,1),(255,1)}
       172:{3,4,6}:{(140,1),(141,1),(150,1)}
       173:{2,3,4,5,7}:{(141,1),(142,1),(151,1),(162,1),(200,1),(203,1),(204,1),(290,1),(295,1),(297,1),(312,1)}
       174:{1,3,4,7}:{(142,1),(143,1),(163,1),(201,1),(205,1),(255,1)}
       175:{2,5,7}:{(143,1),(153,1),(164,1),(205,1)}
       176:{2,4,5,6}:{(144,1),(146,1),(196,1),(207,1),(210,1),(258,1)}
       177:{3,5,7}:{(144,1),(145,1),(207,1)}
       178:{2,3,4,6,7}:{(145,1),(148,1),(198,1),(208,1),(209,1),(215,1),(250,1),(258,1),(266,1),(293,1)}
       179:{1,3,5,6}:{(146,1),(147,1),(150,1),(199,1),(207,1),(210,1)}
       180:{2,5,7}:{(147,1),(148,1),(210,1),(211,1)}
       181:{1,4,6,7}:{(148,1),(149,1),(201,1),(211,1),(253,1)}
       182:{1,2,6,7}:{(149,1),(153,1),(202,1),(289,1)}
       183:{2,3,5,6}:{(150,1),(151,1),(154,1),(203,1),(210,1),(213,1)}
       184:{1,3,5,7}:{(151,1),(152,1),(155,1),(211,1),(213,1),(214,1),(217,1)}
       185:{2,4,6,7}:{(152,1),(153,1),(205,1),(214,1),(215,1),(256,1),(266,1)}
       186:{1,4,5,6}:{(154,1),(155,1),(213,1),(216,1),(298,1)}
       187:{2,4,5,7}:{(155,1),(156,1),(214,1),(216,1),(217,1),(266,1)}
       188:{3,6,7}:{(156,1),(217,1)}
       189:{3,5}:{(157,1),(158,1)}
       190:{2,3,4,6}:{(158,1),(160,1),(198,1),(218,1),(219,1),(223,1),(250,1),(271,1),(311,1)}
       191:{2,4,5}:{(159,1),(160,1),(218,1),(220,1),(268,1)}
       192:{1,4,6}:{(160,1),(161,1),(201,1),(220,1)}
       193:{1,2,5,6}:{(161,1),(164,1),(202,1),(221,1),(268,1),(289,1)}
       194:{1,3,4,5}:{(162,1),(163,1),(220,1),(222,1),(270,1)}
       195:{2,4,6}:{(163,1),(164,1),(205,1),(222,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(168,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(189,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(170,1),(190,1),(225,1),(226,1),(232,1),(306,1)}
       199:{1,3,4,6}:{(168,1),(169,1),(172,1),(179,1),(224,1),(227,1),(233,1),(272,1),(279,1),(305,1)}
       200:{2,4,5,7}:{(169,1),(170,1),(180,1),(191,1),(225,1),(227,1),(228,1),(273,1)}
       201:{1,4,7}:{(170,1),(171,1),(192,1)}
       202:{1,2,5,7}:{(171,1),(175,1),(182,1),(193,1),(229,1),(273,1)}
       203:{2,3,4,6}:{(172,1),(173,1),(183,1),(227,1),(230,1),(301,1),(305,1),(307,1)}
       204:{1,3,4,5,7}:{(173,1),(174,1),(184,1),(194,1),(228,1),(230,1),(231,1),(244,1),(276,1),(284,1),(286,1),(308,1)}
       205:{2,4,7}:{(174,1),(175,1),(195,1),(232,1)}
       206:{3,4,5,7}:{(177,1),(233,1),(234,1),(244,1),(286,1)}
       207:{3,5,6}:{(176,1),(177,1),(224,1),(233,1)}
       208:{2,3,5,7}:{(177,1),(178,1),(180,1),(234,1),(235,1),(236,1),(304,1)}
       209:{1,3,4,6,7}:{(178,1),(181,1),(226,1),(236,1),(237,1),(240,1),(272,1),(279,1),(284,1),(303,1),(305,1),(306,1)}
       210:{2,5,6}:{(179,1),(180,1),(227,1),(238,1)}
       211:{1,5,7}:{(180,1),(181,1),(238,1)}
       212:{1,2,4,6,7}:{(181,1),(182,1),(185,1),(229,1),(237,1),(239,1),(240,1),(275,1),(284,1)}
       213:{1,3,5,6}:{(183,1),(184,1),(186,1),(230,1),(238,1),(241,1),(243,1)}
       214:{2,5,7}:{(184,1),(185,1),(241,1)}
       215:{2,3,6,7}:{(185,1),(188,1),(232,1),(240,1),(242,1),(277,1)}
       216:{2,4,5,6}:{(186,1),(187,1),(241,1),(243,1),(285,1)}
       217:{3,5,7}:{(187,1),(188,1),(243,1),(244,1)}
       218:{2,3,5}:{(189,1),(190,1),(191,1),(245,1),(314,1)}
       219:{1,3,4,6}:{(190,1),(192,1),(226,1),(245,1),(246,1),(248,1),(272,1),(288,1)}
       220:{1,4,5}:{(191,1),(192,1),(245,1)}
       221:{1,2,4,6}:{(192,1),(193,1),(195,1),(229,1),(246,1),(247,1),(248,1)}
       222:{2,4,5}:{(194,1),(195,1),(249,1)}
       223:{2,3,6}:{(195,1),(232,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(200,1),(218,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,7}:{(198,1),(201,1),(219,1),(251,1),(252,1),(255,1)}
       227:{2,4,6}:{(199,1),(200,1),(210,1),(250,1),(253,1),(289,1)}
       228:{1,4,5,7}:{(200,1),(201,1),(211,1),(220,1),(251,1),(253,1)}
       229:{1,2,4,7}:{(201,1),(202,1),(205,1),(221,1),(252,1),(255,1)}
       230:{1,3,4,6}:{(203,1),(204,1),(213,1),(253,1),(256,1),(267,1),(291,1),(298,1)}
       231:{2,4,5,7}:{(204,1),(205,1),(214,1),(222,1),(256,1),(257,1),(266,1),(299,1)}
       232:{2,3,7}:{(205,1),(223,1),(255,1)}
       233:{3,4,6}:{(206,1),(207,1),(258,1)}
       234:{2,4,5,7}:{(206,1),(208,1),(258,1),(259,1),(266,1),(299,1)}
       235:{2,3,5,6}:{(207,1),(208,1),(210,1),(250,1),(258,1),(260,1)}
       236:{1,3,5,7}:{(208,1),(209,1),(211,1),(259,1),(260,1),(261,1),(295,1),(310,1)}
       237:{2,4,6,7}:{(209,1),(252,1),(261,1),(262,1),(289,1),(294,1),(297,1),(309,1)}
       238:{1,5,6}:{(210,1),(211,1),(253,1)}
       239:{1,2,5,7}:{(211,1),(212,1),(214,1),(261,1),(263,1),(264,1)}
       240:{1,3,6,7}:{(212,1),(215,1),(255,1),(262,1),(264,1),(291,1)}
       241:{2,5,6}:{(213,1),(214,1),(256,1)}
       242:{2,3,5,7}:{(214,1),(215,1),(217,1),(264,1),(265,1),(266,1)}
       243:{3,5,6}:{(216,1),(217,1),(267,1)}
       244:{3,4,7}:{(217,1),(266,1),(267,1)}
       245:{1,3,5}:{(218,1),(219,1),(220,1),(268,1)}
       246:{2,4,6}:{(219,1),(252,1),(268,1),(269,1),(289,1),(300,1)}
       247:{1,2,4,5}:{(220,1),(221,1),(222,1),(268,1),(270,1),(300,1)}
       248:{1,3,6}:{(221,1),(223,1),(255,1),(269,1),(270,1)}
       249:{2,3,5}:{(222,1),(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(228,1),(245,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(246,1),(273,1),(274,1)}
       253:{1,4,6}:{(227,1),(228,1),(238,1),(272,1)}
       254:{1,2,4,5,7}:{(228,1),(229,1),(231,1),(239,1),(247,1),(273,1),(275,1),(276,1),(280,1),(284,1),(302,1),(308,1),(313,1)}
       255:{1,3,7}:{(229,1),(232,1),(248,1),(274,1)}
       256:{2,4,6}:{(230,1),(231,1),(241,1),(277,1)}
       257:{2,3,5,7}:{(231,1),(232,1),(249,1),(276,1),(277,1),(278,1),(304,1)}
       258:{2,4,6}:{(233,1),(234,1),(235,1),(279,1)}
       259:{1,4,5,7}:{(234,1),(236,1),(279,1),(280,1),(284,1),(308,1)}
       260:{1,3,5,6}:{(235,1),(236,1),(238,1),(272,1),(279,1),(281,1),(305,1)}
       261:{2,5,7}:{(236,1),(237,1),(281,1),(313,1)}
       262:{2,3,6,7}:{(237,1),(240,1),(274,1),(282,1),(301,1),(305,1)}
       263:{1,2,5,6}:{(238,1),(239,1),(241,1),(275,1),(281,1),(283,1),(313,1)}
       264:{1,3,5,7}:{(239,1),(240,1),(242,1),(282,1),(283,1),(284,1)}
       265:{2,3,5,6}:{(241,1),(242,1),(243,1),(277,1),(283,1),(285,1),(304,1)}
       266:{2,4,7}:{(242,1),(244,1),(284,1),(285,1)}
       267:{3,4,6}:{(243,1),(244,1),(285,1),(286,1)}
       268:{2,5}:{(245,1),(246,1)}
       269:{2,3,6}:{(246,1),(248,1),(274,1),(287,1)}
       270:{1,3,5}:{(247,1),(248,1),(249,1),(287,1),(288,1)}
       271:{2,3,4}:{(249,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(253,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(268,1),(289,1)}
       274:{2,3,7}:{(252,1),(255,1),(269,1)}
       275:{1,2,4,6}:{(253,1),(254,1),(256,1),(263,1),(289,1),(291,1),(294,1),(298,1),(309,1)}
       276:{1,3,5,7}:{(254,1),(255,1),(257,1),(270,1),(290,1),(291,1),(292,1),(295,1),(310,1)}
       277:{2,3,6}:{(256,1),(257,1),(291,1)}
       278:{2,3,4,7}:{(257,1),(266,1),(271,1),(292,1),(293,1)}
       279:{1,4,6}:{(258,1),(259,1),(260,1),(294,1)}
       280:{2,4,5,7}:{(259,1),(261,1),(294,1),(295,1),(297,1),(312,1)}
       281:{2,5,6}:{(260,1),(261,1),(289,1),(294,1)}
       282:{2,3,5,7}:{(261,1),(262,1),(264,1),(295,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(263,1),(264,1),(265,1),(291,1),(296,1),(298,1),(310,1)}
       284:{1,4,7}:{(264,1),(266,1),(297,1),(298,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(298,1),(299,1)}
       286:{3,4,5}:{(267,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(270,1),(300,1)}
       288:{1,3,4}:{(270,1),(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(276,1),(287,1),(301,1),(302,1),(313,1)}
       291:{1,3,6}:{(275,1),(276,1),(277,1),(301,1),(305,1)}
       292:{1,3,4,7}:{(276,1),(278,1),(284,1),(288,1),(302,1),(303,1),(306,1)}
       293:{2,3,4,6}:{(277,1),(278,1),(285,1),(303,1),(304,1)}
       294:{2,4,6}:{(279,1),(280,1),(281,1),(305,1)}
       295:{3,5,7}:{(280,1),(305,1),(306,1),(314,1)}
       296:{2,3,5,6}:{(281,1),(282,1),(283,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       297:{2,4,7}:{(282,1),(284,1),(306,1),(307,1)}
       298:{1,4,6}:{(283,1),(284,1),(285,1),(307,1),(308,1)}
       299:{2,4,5}:{(285,1),(286,1),(304,1),(308,1)}
       300:{2,4}:{(287,1),(288,1)}
       301:{2,3,6}:{(289,1),(290,1),(291,1),(309,1)}
       302:{2,4,7}:{(290,1),(292,1),(300,1),(309,1)}
       303:{1,3,4,6}:{(291,1),(292,1),(293,1),(298,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(293,1),(299,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{3,4,7}:{(295,1),(297,1),(311,1)}
       307:{2,4,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       308:{1,4,5}:{(298,1),(299,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1262 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(64,1),(82,1),(145,1),(274,1),(343,1),(353,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(41,1),(55,1),(126,1),(186,1),(288,1),(381,1),(389,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(389,1),(397,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(38,1),(108,1),(118,1),(125,1),(223,1),(325,1),(398,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(51,1),(103,1),(195,1),(199,1),(227,1),(229,1),(297,1),(307,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(26,1),(83,1),(144,1),(273,1),(344,1),(353,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(19,1),(20,1),(29,1),(74,1),(82,1),(145,1),(245,1)}
         7:{3,4,6}:{(1,1),(20,1),(21,1),(422,1),(429,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(19,1),(23,1),(24,1),(28,1),(76,1),(437,1)}
         9:{2,3,6}:{(2,1),(20,1),(24,1),(429,1),(436,1)}
        10:{2,4,7}:{(3,1),(23,1),(26,1),(27,1),(373,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(24,1),(27,1),(28,1),(70,1),(86,1),(155,1),(158,1),(166,1),(176,1),(178,1),(278,1),(279,1),(356,1)}
        12:{2,3,5}:{(4,1),(28,1),(29,1),(245,1),(346,1),(355,1)}
        13:{3,4,5,7}:{(30,1),(31,1),(92,1),(106,1),(118,1),(194,1),(217,1),(315,1),(323,1)}
        14:{2,3,5,7}:{(5,1),(30,1),(32,1),(33,1),(36,1),(323,1),(397,1)}
        15:{1,3,4,7}:{(5,1),(32,1),(34,1),(35,1),(38,1),(108,1),(186,1),(193,1),(294,1),(391,1),(398,1)}
        16:{2,3,4,6}:{(5,1),(33,1),(35,1),(36,1),(52,1),(102,1),(127,1),(131,1),(226,1),(298,1),(300,1),(307,1)}
        17:{1,2,4,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(108,1),(398,1),(399,1)}
        18:{3,4,6,7}:{(7,1),(40,1),(41,1),(114,1),(126,1),(212,1)}
        19:{1,4,5,7}:{(6,1),(8,1),(42,1),(43,1),(54,1),(108,1),(116,1),(125,1),(205,1)}
        20:{2,4,6}:{(6,1),(7,1),(9,1),(43,1),(44,1)}
        21:{3,5,6}:{(7,1),(41,1),(44,1),(45,1),(288,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(46,1),(47,1),(212,1),(313,1)}
        23:{2,5,7}:{(8,1),(10,1),(49,1),(53,1)}
        24:{1,3,6}:{(8,1),(9,1),(43,1),(49,1),(119,1),(469,1)}
        25:{2,3,5,6}:{(9,1),(12,1),(44,1),(47,1),(50,1),(51,1),(122,1),(220,1),(227,1)}
        26:{2,3,7}:{(10,1),(38,1),(52,1),(223,1)}
        27:{2,4,6}:{(10,1),(11,1),(49,1),(52,1),(53,1),(131,1),(328,1),(329,1)}
        28:{1,3,5}:{(11,1),(12,1),(53,1),(54,1),(132,1),(205,1),(217,1),(400,1)}
        29:{2,4,5}:{(12,1),(51,1),(54,1),(55,1),(199,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(57,1),(58,1),(67,1),(83,1),(136,1),(144,1),(174,1)}
        31:{3,4,6}:{(13,1),(58,1),(59,1),(363,1),(370,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(57,1),(61,1),(62,1),(66,1),(138,1),(437,1)}
        33:{2,3,6}:{(14,1),(58,1),(62,1),(370,1),(436,1)}
        34:{2,4,7}:{(15,1),(61,1),(64,1),(65,1),(432,1)}
        35:{1,3,4,6}:{(15,1),(16,1),(62,1),(65,1),(66,1),(70,1),(148,1),(155,1),(158,1),(237,1),(247,1),(249,1),(348,1),(349,1),(356,1)}
        36:{2,3,5}:{(16,1),(66,1),(67,1),(174,1),(276,1),(355,1)}
        37:{1,2,5,7}:{(17,1),(23,1),(61,1),(68,1),(69,1),(71,1),(437,1)}
        38:{1,3,7}:{(17,1),(26,1),(64,1),(70,1)}
        39:{1,2,4,6}:{(17,1),(27,1),(65,1),(69,1),(70,1),(71,1),(155,1),(158,1),(356,1),(357,1),(358,1)}
        40:{2,4,6,7}:{(18,1),(20,1),(22,1),(73,1),(74,1),(82,1)}
        41:{3,5,7}:{(18,1),(21,1),(74,1),(75,1)}
        42:{2,4,5,7}:{(19,1),(23,1),(76,1),(77,1),(83,1),(89,1),(163,1),(172,1),(174,1),(264,1),(267,1)}
        43:{1,4,6}:{(19,1),(20,1),(24,1),(77,1),(78,1)}
        44:{2,5,6}:{(20,1),(21,1),(74,1),(78,1),(245,1)}
        45:{4,5,6}:{(21,1),(75,1),(337,1),(422,1)}
        46:{1,3,6,7}:{(22,1),(24,1),(73,1),(80,1),(81,1),(162,1),(362,1)}
        47:{2,3,5,7}:{(22,1),(25,1),(74,1),(81,1),(82,1),(165,1),(266,1),(274,1)}
        48:{2,3,5,7}:{(23,1),(26,1),(68,1),(76,1),(83,1),(84,1),(88,1),(174,1)}
        49:{2,6}:{(23,1),(24,1)}
        50:{1,3,5,6}:{(24,1),(25,1),(28,1),(78,1),(81,1),(85,1),(86,1),(167,1),(176,1),(270,1),(278,1)}
        51:{2,4,6}:{(25,1),(29,1),(82,1),(86,1),(87,1)}
        52:{2,3,6}:{(26,1),(27,1),(70,1),(88,1),(176,1),(376,1)}
        53:{2,5}:{(27,1),(28,1)}
        54:{1,4,5}:{(28,1),(29,1),(86,1),(89,1),(158,1),(267,1)}
        55:{3,4,5}:{(29,1),(87,1),(249,1),(346,1),(549,1)}
        56:{3,4,6,7}:{(31,1),(91,1),(92,1),(182,1),(194,1),(283,1)}
        57:{1,4,5,7}:{(30,1),(32,1),(93,1),(94,1),(105,1),(108,1),(184,1),(193,1),(205,1)}
        58:{2,4,6}:{(30,1),(31,1),(33,1),(94,1),(95,1)}
        59:{3,5,6}:{(31,1),(92,1),(95,1),(96,1),(217,1)}
        60:{2,3,6,7}:{(33,1),(91,1),(97,1),(98,1),(283,1),(379,1)}
        61:{2,5,7}:{(32,1),(34,1),(100,1),(104,1)}
        62:{1,3,6}:{(32,1),(33,1),(94,1),(100,1),(187,1),(469,1)}
        63:{2,3,5,6}:{(33,1),(36,1),(95,1),(98,1),(101,1),(102,1),(190,1),(291,1),(298,1)}
        64:{2,3,7}:{(34,1),(38,1),(103,1),(294,1)}
        65:{2,4,6}:{(34,1),(35,1),(100,1),(103,1),(104,1),(199,1),(394,1),(395,1)}
        66:{1,3,5}:{(35,1),(36,1),(104,1),(105,1),(200,1),(205,1),(288,1),(400,1)}
        67:{2,4,5}:{(36,1),(102,1),(105,1),(106,1),(131,1)}
        68:{1,3,5,7}:{(37,1),(38,1),(48,1),(99,1),(108,1),(109,1),(111,1),(205,1)}
        69:{1,2,6}:{(37,1),(49,1),(100,1),(109,1),(469,1)}
        70:{1,3,6}:{(38,1),(39,1),(52,1),(103,1),(111,1),(402,1)}
        71:{1,2,5}:{(39,1),(53,1),(104,1),(111,1),(205,1),(400,1)}
        72:{3,5,6,7}:{(41,1),(113,1),(114,1),(212,1),(380,1),(520,1)}
        73:{1,4,6,7}:{(40,1),(43,1),(46,1),(115,1),(116,1),(125,1)}
        74:{2,5,7}:{(40,1),(41,1),(44,1),(116,1)}
        75:{4,5,7}:{(41,1),(45,1),(114,1)}
        76:{3,5,7}:{(42,1),(118,1),(119,1),(132,1),(217,1),(223,1)}
        77:{2,4,6}:{(42,1),(43,1),(49,1),(119,1),(120,1),(218,1)}
        78:{1,5,6}:{(43,1),(44,1),(116,1),(120,1),(205,1)}
        79:{2,4,5,6}:{(44,1),(45,1),(51,1),(117,1),(121,1),(122,1),(220,1),(296,1),(388,1),(412,1),(519,1),(543,1)}
        80:{2,6,7}:{(46,1),(49,1),(124,1)}
        81:{1,3,5,7}:{(46,1),(47,1),(50,1),(116,1),(124,1),(125,1),(214,1),(223,1),(318,1),(325,1)}
        82:{2,4,7}:{(47,1),(51,1),(125,1),(126,1)}
        83:{2,4,7}:{(48,1),(108,1),(118,1),(127,1),(131,1)}
        84:{2,3,6}:{(48,1),(49,1),(109,1),(119,1),(127,1)}
        85:{2,5,6}:{(49,1),(50,1),(53,1),(124,1),(129,1),(328,1)}
        86:{1,4,6}:{(50,1),(51,1),(54,1),(125,1),(129,1),(218,1)}
        87:{3,4,6}:{(51,1),(55,1),(122,1),(126,1),(543,1)}
        88:{2,3,5}:{(52,1),(53,1),(111,1),(131,1),(132,1)}
        89:{2,4,5}:{(53,1),(54,1),(129,1),(131,1),(132,1)}
        90:{1,3,4,5}:{(54,1),(55,1),(130,1),(132,1),(133,1),(208,1),(230,1),(306,1),(319,1),(411,1),(479,1)}
        91:{2,4,6,7}:{(56,1),(58,1),(60,1),(135,1),(136,1),(144,1)}
        92:{3,5,7}:{(56,1),(59,1),(136,1),(137,1)}
        93:{2,4,5,7}:{(57,1),(61,1),(138,1),(139,1),(145,1),(151,1),(234,1),(243,1),(245,1),(334,1),(337,1)}
        94:{1,4,6}:{(57,1),(58,1),(62,1),(139,1),(140,1)}
        95:{2,5,6}:{(58,1),(59,1),(136,1),(140,1),(174,1)}
        96:{4,5,6}:{(59,1),(137,1),(267,1),(363,1)}
        97:{1,3,6,7}:{(60,1),(62,1),(135,1),(142,1),(143,1),(233,1),(421,1)}
        98:{2,3,5,7}:{(60,1),(63,1),(136,1),(143,1),(144,1),(236,1),(336,1),(344,1)}
        99:{2,3,5,7}:{(61,1),(64,1),(68,1),(138,1),(145,1),(146,1),(150,1),(245,1)}
       100:{2,6}:{(61,1),(62,1)}
       101:{1,3,5,6}:{(62,1),(63,1),(66,1),(140,1),(143,1),(147,1),(148,1),(238,1),(247,1),(340,1),(348,1)}
       102:{2,4,6}:{(63,1),(67,1),(144,1),(148,1),(149,1)}
       103:{2,3,6}:{(64,1),(65,1),(70,1),(150,1),(247,1),(435,1)}
       104:{2,5}:{(65,1),(66,1)}
       105:{1,4,5}:{(66,1),(67,1),(148,1),(151,1),(158,1),(337,1)}
       106:{3,4,5}:{(67,1),(149,1),(178,1),(276,1),(552,1)}
       107:{1,2,6,7}:{(69,1),(80,1),(142,1),(153,1),(154,1),(362,1),(421,1),(436,1),(444,1),(486,1),(496,1)}
       108:{1,4,7}:{(68,1),(83,1),(145,1),(155,1),(158,1)}
       109:{1,3,6}:{(68,1),(69,1),(84,1),(146,1),(155,1)}
       110:{1,2,5,6}:{(69,1),(71,1),(85,1),(147,1),(154,1),(156,1),(157,1),(270,1),(340,1),(355,1),(357,1),(369,1),(428,1),(436,1),(439,1),(496,1)}
       111:{1,3,5}:{(70,1),(71,1),(88,1),(150,1),(158,1)}
       112:{1,2,4,5}:{(71,1),(89,1),(151,1),(157,1),(158,1),(159,1),(180,1),(251,1),(255,1),(258,1),(280,1),(350,1),(355,1),(358,1),(439,1),(448,1),(490,1),(498,1)}
       113:{2,5,6,7}:{(72,1),(74,1),(160,1),(161,1),(341,1),(500,1)}
       114:{4,6,7}:{(72,1),(75,1),(422,1),(534,1)}
       115:{2,4,6,7}:{(73,1),(77,1),(80,1),(162,1),(163,1),(172,1),(264,1)}
       116:{1,5,7}:{(73,1),(74,1),(78,1),(163,1)}
       117:{2,4,5,7}:{(74,1),(75,1),(79,1),(82,1),(161,1),(164,1),(165,1),(266,1),(447,1),(500,1),(534,1)}
       118:{3,4,7}:{(76,1),(83,1),(166,1),(178,1),(264,1)}
       119:{3,6}:{(76,1),(77,1)}
       120:{2,5,6}:{(77,1),(78,1),(163,1),(167,1),(174,1)}
       121:{1,4,5,6}:{(78,1),(79,1),(86,1),(164,1),(168,1),(169,1),(255,1),(270,1),(351,1),(368,1),(499,1)}
       122:{3,5,6}:{(79,1),(87,1),(165,1),(346,1),(429,1),(449,1)}
       123:{2,3,6,7}:{(80,1),(84,1),(153,1),(162,1),(170,1),(171,1),(370,1),(436,1),(486,1),(526,1),(530,1)}
       124:{2,5,7}:{(80,1),(81,1),(85,1),(172,1),(373,1)}
       125:{1,4,7}:{(81,1),(82,1),(86,1),(172,1),(264,1)}
       126:{3,4,7}:{(82,1),(87,1),(165,1),(534,1)}
       127:{2,4,6}:{(83,1),(84,1),(155,1),(166,1),(174,1)}
       128:{2,3,5,6}:{(84,1),(85,1),(88,1),(156,1),(167,1),(171,1),(174,1),(175,1),(176,1),(257,1),(271,1),(276,1),(355,1),(370,1),(428,1),(436,1),(491,1),(495,1),(530,1),(545,1),(548,1)}
       129:{2,4,6}:{(85,1),(86,1),(89,1),(172,1),(176,1)}
       130:{1,3,4,6}:{(86,1),(87,1),(90,1),(169,1),(173,1),(176,1),(177,1),(268,1),(278,1),(368,1),(449,1)}
       131:{2,4}:{(88,1),(158,1),(178,1)}
       132:{3,5}:{(89,1),(176,1),(178,1)}
       133:{2,4,5}:{(90,1),(177,1),(179,1),(180,1),(258,1),(280,1),(355,1)}
       134:{3,5,6,7}:{(92,1),(181,1),(182,1),(283,1),(314,1),(538,1)}
       135:{1,4,6,7}:{(91,1),(94,1),(97,1),(183,1),(184,1),(193,1)}
       136:{2,5,7}:{(91,1),(92,1),(95,1),(184,1)}
       137:{4,5,7}:{(92,1),(96,1),(182,1)}
       138:{3,5,7}:{(93,1),(186,1),(187,1),(200,1),(288,1),(294,1)}
       139:{2,4,6}:{(93,1),(94,1),(100,1),(187,1),(188,1),(289,1)}
       140:{1,5,6}:{(94,1),(95,1),(184,1),(188,1),(205,1)}
       141:{2,4,5,6}:{(95,1),(96,1),(102,1),(185,1),(189,1),(190,1),(225,1),(291,1),(322,1),(463,1),(537,1),(550,1)}
       142:{2,6,7}:{(97,1),(100,1),(192,1)}
       143:{1,3,5,7}:{(97,1),(98,1),(101,1),(184,1),(192,1),(193,1),(285,1),(294,1),(384,1),(391,1)}
       144:{2,4,7}:{(98,1),(102,1),(193,1),(194,1)}
       145:{2,4,7}:{(99,1),(108,1),(186,1),(195,1),(199,1)}
       146:{2,3,6}:{(99,1),(100,1),(109,1),(187,1),(195,1)}
       147:{2,5,6}:{(100,1),(101,1),(104,1),(192,1),(197,1),(394,1)}
       148:{1,4,6}:{(101,1),(102,1),(105,1),(193,1),(197,1),(289,1)}
       149:{3,4,6}:{(102,1),(106,1),(190,1),(194,1),(550,1)}
       150:{2,3,5}:{(103,1),(104,1),(111,1),(199,1),(200,1)}
       151:{2,4,5}:{(104,1),(105,1),(197,1),(199,1),(200,1)}
       152:{1,3,4,5}:{(105,1),(106,1),(198,1),(200,1),(201,1),(208,1),(301,1),(306,1),(385,1),(462,1),(513,1)}
       153:{1,3,6,7}:{(107,1),(109,1),(123,1),(191,1),(202,1),(203,1),(396,1),(469,1),(517,1)}
       154:{1,2,5,7}:{(107,1),(110,1),(124,1),(192,1),(203,1),(204,1),(318,1),(384,1),(397,1),(399,1),(410,1),(461,1)}
       155:{1,4,6}:{(108,1),(109,1),(127,1),(195,1),(205,1)}
       156:{1,3,5,6}:{(109,1),(110,1),(111,1),(128,1),(196,1),(203,1),(205,1),(206,1),(207,1),(302,1),(306,1),(308,1),(396,1),(400,1),(469,1),(472,1),(517,1),(542,1)}
       157:{1,2,4,6}:{(110,1),(112,1),(129,1),(197,1),(204,1),(206,1),(207,1),(228,1),(299,1),(307,1),(328,1),(394,1),(412,1),(463,1)}
       158:{1,4}:{(111,1),(131,1),(199,1)}
       159:{1,3,5}:{(112,1),(132,1),(200,1),(207,1),(208,1),(209,1),(402,1),(479,1),(513,1)}
       160:{1,5,6,7}:{(113,1),(116,1),(210,1),(211,1),(302,1),(474,1)}
       161:{2,4,6,7}:{(113,1),(114,1),(117,1),(211,1),(212,1),(313,1),(388,1)}
       162:{3,6,7}:{(115,1),(119,1),(214,1),(223,1)}
       163:{2,5,7}:{(115,1),(116,1),(120,1),(214,1)}
       164:{1,4,5,7}:{(116,1),(117,1),(121,1),(125,1),(211,1),(215,1),(216,1),(318,1),(409,1),(474,1)}
       165:{3,5,7}:{(117,1),(122,1),(126,1),(212,1),(478,1)}
       166:{3,4,6}:{(118,1),(119,1),(127,1),(217,1),(218,1)}
       167:{3,5,6}:{(119,1),(120,1),(214,1),(217,1),(218,1)}
       168:{2,4,5,6}:{(120,1),(121,1),(129,1),(215,1),(218,1),(219,1),(220,1),(225,1),(320,1),(322,1),(403,1),(473,1)}
       169:{1,3,5,6}:{(121,1),(122,1),(130,1),(216,1),(219,1),(220,1),(306,1),(396,1)}
       170:{2,4,6,7}:{(123,1),(127,1),(202,1),(213,1),(221,1),(222,1),(322,1),(541,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(128,1),(203,1),(214,1),(221,1),(222,1),(223,1),(305,1),(323,1),(397,1),(461,1),(512,1),(538,1)}
       172:{2,4,7}:{(124,1),(125,1),(129,1),(223,1)}
       173:{1,3,4,7}:{(125,1),(126,1),(130,1),(216,1),(223,1),(224,1),(316,1),(325,1),(409,1),(478,1)}
       174:{2,5}:{(127,1),(205,1),(217,1)}
       175:{2,4,6}:{(128,1),(131,1),(206,1),(218,1),(222,1),(225,1),(226,1),(516,1),(550,1)}
       176:{3,6}:{(129,1),(132,1),(223,1)}
       177:{2,4,6}:{(130,1),(133,1),(220,1),(224,1),(227,1),(228,1),(328,1)}
       178:{3,4}:{(131,1),(132,1)}
       179:{2,3,5}:{(132,1),(133,1),(227,1),(229,1),(230,1),(479,1)}
       180:{1,4,5}:{(133,1),(228,1),(230,1),(309,1),(400,1)}
       181:{2,5,6,7}:{(134,1),(136,1),(231,1),(232,1),(271,1),(525,1)}
       182:{4,6,7}:{(134,1),(137,1),(363,1),(546,1)}
       183:{2,4,6,7}:{(135,1),(139,1),(142,1),(233,1),(234,1),(243,1),(334,1)}
       184:{1,5,7}:{(135,1),(136,1),(140,1),(234,1)}
       185:{2,4,5,7}:{(136,1),(137,1),(141,1),(144,1),(232,1),(235,1),(236,1),(336,1),(489,1),(525,1),(546,1)}
       186:{3,4,7}:{(138,1),(145,1),(237,1),(249,1),(334,1)}
       187:{3,6}:{(138,1),(139,1)}
       188:{2,5,6}:{(139,1),(140,1),(234,1),(238,1),(245,1)}
       189:{1,4,5,6}:{(140,1),(141,1),(148,1),(235,1),(239,1),(240,1),(255,1),(340,1),(351,1),(427,1),(524,1)}
       190:{3,5,6}:{(141,1),(149,1),(236,1),(276,1),(370,1),(491,1)}
       191:{2,3,6,7}:{(142,1),(146,1),(153,1),(233,1),(241,1),(242,1),(429,1),(436,1),(444,1),(501,1),(505,1)}
       192:{2,5,7}:{(142,1),(143,1),(147,1),(243,1),(432,1)}
       193:{1,4,7}:{(143,1),(144,1),(148,1),(243,1),(334,1)}
       194:{3,4,7}:{(144,1),(149,1),(236,1),(546,1)}
       195:{2,4,6}:{(145,1),(146,1),(155,1),(237,1),(245,1)}
       196:{2,3,5,6}:{(146,1),(147,1),(150,1),(156,1),(238,1),(242,1),(245,1),(246,1),(247,1),(257,1),(341,1),(346,1),(355,1),(369,1),(429,1),(436,1),(449,1),(453,1),(505,1),(533,1),(536,1)}
       197:{2,4,6}:{(147,1),(148,1),(151,1),(243,1),(247,1)}
       198:{1,3,4,6}:{(148,1),(149,1),(152,1),(240,1),(244,1),(247,1),(248,1),(338,1),(348,1),(427,1),(491,1)}
       199:{2,4}:{(150,1),(158,1),(249,1)}
       200:{3,5}:{(151,1),(247,1),(249,1)}
       201:{2,4,5}:{(152,1),(248,1),(250,1),(251,1),(258,1),(350,1),(355,1)}
       202:{1,4,6,7}:{(153,1),(155,1),(170,1),(241,1),(252,1),(253,1),(351,1),(532,1)}
       203:{1,3,5,7}:{(153,1),(154,1),(156,1),(171,1),(242,1),(252,1),(253,1),(254,1),(354,1),(437,1)}
       204:{1,2,4,7}:{(154,1),(157,1),(172,1),(243,1),(253,1),(254,1),(275,1),(345,1),(353,1),(373,1),(432,1),(447,1),(489,1)}
       205:{1,5}:{(155,1),(174,1),(245,1)}
       206:{1,4,6}:{(156,1),(158,1),(175,1),(246,1),(253,1),(255,1),(498,1)}
       207:{1,3,6}:{(157,1),(159,1),(176,1),(247,1),(254,1),(257,1),(449,1),(491,1)}
       208:{1,3,4}:{(158,1),(159,1),(178,1),(249,1),(258,1),(498,1),(504,1),(529,1)}
       209:{2,3,5}:{(159,1),(257,1),(258,1),(259,1),(280,1),(350,1),(355,1),(376,1),(435,1)}
       210:{2,5,6,7}:{(160,1),(163,1),(260,1),(261,1),(271,1),(442,1)}
       211:{1,4,6,7}:{(160,1),(161,1),(164,1),(261,1),(262,1),(351,1),(362,1)}
       212:{3,6,7}:{(161,1),(165,1),(429,1)}
       213:{3,4,6,7}:{(162,1),(166,1),(170,1),(263,1),(264,1),(273,1),(363,1),(370,1),(526,1),(546,1),(547,1)}
       214:{3,5,7}:{(162,1),(163,1),(167,1),(264,1)}
       215:{2,4,5,7}:{(163,1),(164,1),(168,1),(172,1),(261,1),(264,1),(265,1),(266,1),(359,1),(365,1),(442,1)}
       216:{1,3,5,7}:{(164,1),(165,1),(169,1),(173,1),(262,1),(265,1),(266,1)}
       217:{3,5}:{(166,1),(174,1),(267,1)}
       218:{4,6}:{(167,1),(264,1),(267,1)}
       219:{3,5,6}:{(168,1),(176,1),(265,1),(268,1),(276,1),(370,1)}
       220:{2,5,6}:{(169,1),(177,1),(266,1),(270,1),(355,1),(436,1)}
       221:{2,5,7}:{(170,1),(174,1),(252,1),(263,1),(271,1),(548,1)}
       222:{2,4,7}:{(171,1),(175,1),(253,1),(264,1),(273,1),(546,1)}
       223:{3,7}:{(172,1),(176,1)}
       224:{2,4,7}:{(173,1),(177,1),(266,1),(274,1),(275,1),(373,1)}
       225:{2,4,5}:{(174,1),(175,1),(255,1),(267,1),(276,1),(355,1),(548,1),(552,1)}
       226:{3,4,6}:{(175,1),(176,1),(178,1),(273,1),(276,1),(370,1),(491,1),(529,1)}
       227:{2,3,6}:{(176,1),(177,1),(179,1),(274,1),(278,1),(449,1)}
       228:{1,4,6}:{(177,1),(180,1),(270,1),(275,1),(278,1)}
       229:{2,3,4}:{(178,1),(179,1),(258,1),(279,1),(435,1),(504,1)}
       230:{1,3,5}:{(179,1),(180,1),(278,1),(279,1),(280,1)}
       231:{1,5,6,7}:{(181,1),(184,1),(281,1),(282,1),(302,1),(508,1)}
       232:{2,4,6,7}:{(181,1),(182,1),(185,1),(282,1),(283,1),(322,1),(379,1)}
       233:{3,6,7}:{(183,1),(187,1),(285,1),(294,1)}
       234:{2,5,7}:{(183,1),(184,1),(188,1),(285,1)}
       235:{1,4,5,7}:{(184,1),(185,1),(189,1),(193,1),(282,1),(286,1),(287,1),(384,1),(460,1),(508,1)}
       236:{3,5,7}:{(185,1),(190,1),(194,1),(283,1),(512,1)}
       237:{3,4,6}:{(186,1),(187,1),(195,1),(288,1),(289,1)}
       238:{3,5,6}:{(187,1),(188,1),(285,1),(288,1),(289,1)}
       239:{2,4,5,6}:{(188,1),(189,1),(197,1),(286,1),(289,1),(290,1),(291,1),(296,1),(386,1),(388,1),(454,1),(507,1)}
       240:{1,3,5,6}:{(189,1),(190,1),(198,1),(287,1),(290,1),(291,1),(306,1),(396,1)}
       241:{2,4,6,7}:{(191,1),(195,1),(202,1),(284,1),(292,1),(293,1),(388,1),(523,1)}
       242:{2,3,5,7}:{(191,1),(192,1),(196,1),(203,1),(285,1),(292,1),(293,1),(294,1),(305,1),(389,1),(397,1),(410,1),(478,1),(520,1)}
       243:{2,4,7}:{(192,1),(193,1),(197,1),(294,1)}
       244:{1,3,4,7}:{(193,1),(194,1),(198,1),(287,1),(294,1),(295,1),(382,1),(391,1),(460,1),(512,1)}
       245:{2,5}:{(195,1),(205,1),(288,1)}
       246:{2,4,6}:{(196,1),(199,1),(206,1),(289,1),(293,1),(296,1),(297,1),(482,1),(543,1)}
       247:{3,6}:{(197,1),(200,1),(294,1)}
       248:{2,4,6}:{(198,1),(201,1),(291,1),(295,1),(298,1),(299,1),(394,1)}
       249:{3,4}:{(199,1),(200,1)}
       250:{2,3,5}:{(200,1),(201,1),(298,1),(300,1),(301,1),(513,1)}
       251:{1,4,5}:{(201,1),(299,1),(301,1),(309,1),(400,1)}
       252:{1,5,7}:{(202,1),(205,1),(221,1),(292,1),(302,1),(542,1)}
       253:{1,4,7}:{(203,1),(206,1),(222,1),(293,1)}
       254:{1,3,7}:{(204,1),(207,1),(223,1),(294,1),(305,1),(478,1),(512,1)}
       255:{1,4,5}:{(205,1),(206,1),(225,1),(296,1),(306,1),(400,1),(542,1)}
       256:{1,3,4,6}:{(206,1),(207,1),(208,1),(226,1),(297,1),(304,1),(306,1),(307,1),(396,1)}
       257:{2,3,6}:{(207,1),(209,1),(305,1),(307,1),(308,1),(328,1),(394,1)}
       258:{2,4}:{(208,1),(209,1),(309,1)}
       259:{1,3,5}:{(209,1),(308,1),(309,1),(310,1),(400,1),(402,1)}
       260:{3,5,6,7}:{(210,1),(214,1),(311,1),(312,1),(314,1),(404,1)}
       261:{2,4,6,7}:{(210,1),(211,1),(215,1),(311,1),(312,1),(313,1),(322,1)}
       262:{1,3,6,7}:{(211,1),(212,1),(216,1),(312,1),(313,1),(396,1)}
       263:{3,5,7}:{(213,1),(217,1),(221,1),(314,1),(315,1),(551,1)}
       264:{4,7}:{(214,1),(218,1)}
       265:{3,5,7}:{(215,1),(219,1),(223,1),(312,1),(316,1)}
       266:{2,5,7}:{(216,1),(220,1),(224,1),(313,1),(318,1)}
       267:{4,5}:{(217,1),(218,1)}
       268:{3,4,6}:{(218,1),(219,1),(316,1),(319,1),(320,1)}
       269:{2,3,5,6}:{(219,1),(220,1),(227,1),(317,1),(320,1),(321,1),(326,1),(413,1),(473,1)}
       270:{1,5,6}:{(220,1),(228,1),(318,1),(400,1),(469,1)}
       271:{2,5,6}:{(221,1),(302,1),(314,1),(322,1)}
       272:{2,4,5,7}:{(221,1),(222,1),(225,1),(303,1),(315,1),(322,1),(323,1),(397,1)}
       273:{3,4,7}:{(222,1),(223,1),(226,1),(323,1),(512,1)}
       274:{2,3,7}:{(223,1),(224,1),(227,1),(325,1),(478,1)}
       275:{1,4,7}:{(224,1),(228,1),(318,1),(325,1)}
       276:{3,5}:{(225,1),(226,1)}
       277:{2,3,4,6}:{(226,1),(227,1),(229,1),(307,1),(320,1),(324,1),(326,1),(327,1),(413,1),(468,1),(516,1),(541,1)}
       278:{1,3,6}:{(227,1),(228,1),(230,1),(325,1),(328,1)}
       279:{1,3,4}:{(229,1),(230,1),(309,1),(329,1),(402,1)}
       280:{2,5}:{(230,1),(328,1),(329,1)}
       281:{2,5,6,7}:{(231,1),(234,1),(330,1),(331,1),(341,1),(484,1)}
       282:{1,4,6,7}:{(231,1),(232,1),(235,1),(331,1),(332,1),(351,1),(421,1)}
       283:{3,6,7}:{(232,1),(236,1),(370,1)}
       284:{3,4,6,7}:{(233,1),(237,1),(241,1),(333,1),(334,1),(343,1),(422,1),(429,1),(501,1),(534,1),(535,1)}
       285:{3,5,7}:{(233,1),(234,1),(238,1),(334,1)}
       286:{2,4,5,7}:{(234,1),(235,1),(239,1),(243,1),(331,1),(334,1),(335,1),(336,1),(418,1),(424,1),(484,1)}
       287:{1,3,5,7}:{(235,1),(236,1),(240,1),(244,1),(332,1),(335,1),(336,1)}
       288:{3,5}:{(237,1),(245,1),(337,1)}
       289:{4,6}:{(238,1),(334,1),(337,1)}
       290:{3,5,6}:{(239,1),(247,1),(335,1),(338,1),(346,1),(429,1)}
       291:{2,5,6}:{(240,1),(248,1),(336,1),(340,1),(355,1),(436,1)}
       292:{2,5,7}:{(241,1),(245,1),(252,1),(333,1),(341,1),(536,1)}
       293:{2,4,7}:{(242,1),(246,1),(253,1),(334,1),(343,1),(534,1)}
       294:{3,7}:{(243,1),(247,1)}
       295:{2,4,7}:{(244,1),(248,1),(336,1),(344,1),(345,1),(432,1)}
       296:{2,4,5}:{(245,1),(246,1),(255,1),(337,1),(346,1),(355,1),(536,1),(549,1)}
       297:{3,4,6}:{(246,1),(247,1),(249,1),(343,1),(346,1),(429,1),(449,1),(504,1)}
       298:{2,3,6}:{(247,1),(248,1),(250,1),(344,1),(348,1),(491,1)}
       299:{1,4,6}:{(248,1),(251,1),(340,1),(345,1),(348,1)}
       300:{2,3,4}:{(249,1),(250,1),(258,1),(349,1),(376,1),(529,1)}
       301:{1,3,5}:{(250,1),(251,1),(348,1),(349,1),(350,1)}
       302:{1,5,6}:{(252,1),(271,1),(341,1),(351,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(255,1),(272,1),(342,1),(351,1),(352,1),(437,1)}
       304:{1,3,4,7}:{(253,1),(254,1),(256,1),(273,1),(343,1),(352,1),(353,1)}
       305:{2,3,7}:{(254,1),(257,1),(353,1),(354,1),(373,1),(432,1)}
       306:{1,3,5}:{(255,1),(256,1),(276,1),(346,1),(355,1)}
       307:{2,4,6}:{(256,1),(257,1),(258,1),(353,1),(355,1),(356,1),(436,1)}
       308:{1,3,6}:{(257,1),(259,1),(354,1),(356,1),(357,1)}
       309:{1,4}:{(258,1),(259,1)}
       310:{1,2,5}:{(259,1),(280,1),(350,1),(357,1),(358,1)}
       311:{4,6,7}:{(260,1),(264,1),(359,1),(363,1)}
       312:{3,6,7}:{(261,1),(265,1),(370,1)}
       313:{2,6,7}:{(262,1),(266,1),(362,1),(436,1)}
       314:{3,5,6}:{(263,1),(271,1),(363,1),(370,1)}
       315:{4,5,7}:{(263,1),(264,1),(267,1),(363,1),(546,1),(552,1)}
       316:{3,4,7}:{(264,1),(265,1),(268,1),(365,1)}
       317:{2,3,5,7}:{(265,1),(266,1),(269,1),(274,1),(361,1),(365,1),(366,1),(442,1)}
       318:{1,5,7}:{(266,1),(270,1),(275,1),(362,1)}
       319:{3,4,5}:{(267,1),(268,1),(276,1),(367,1),(529,1)}
       320:{2,4,6}:{(268,1),(269,1),(365,1),(367,1),(368,1)}
       321:{1,3,5,6}:{(269,1),(270,1),(278,1),(366,1),(368,1),(369,1),(374,1),(449,1),(450,1),(499,1),(533,1)}
       322:{2,4,6}:{(271,1),(272,1),(351,1),(363,1),(370,1),(436,1)}
       323:{3,5,7}:{(272,1),(273,1),(276,1),(370,1)}
       324:{2,3,4,7}:{(273,1),(274,1),(277,1),(353,1),(365,1),(371,1),(372,1),(494,1),(531,1)}
       325:{1,3,7}:{(274,1),(275,1),(278,1),(373,1)}
       326:{2,3,5}:{(276,1),(277,1),(355,1),(367,1),(374,1),(548,1)}
       327:{1,3,4,6}:{(277,1),(278,1),(279,1),(356,1),(368,1),(372,1),(374,1),(375,1),(440,1),(449,1),(450,1),(498,1),(504,1),(532,1),(535,1)}
       328:{2,6}:{(278,1),(280,1),(373,1)}
       329:{2,4}:{(279,1),(280,1),(376,1)}
       330:{3,5,6,7}:{(281,1),(285,1),(377,1),(378,1),(380,1),(455,1)}
       331:{2,4,6,7}:{(281,1),(282,1),(286,1),(377,1),(378,1),(379,1),(388,1)}
       332:{1,3,6,7}:{(282,1),(283,1),(287,1),(378,1),(379,1),(396,1)}
       333:{3,5,7}:{(284,1),(288,1),(292,1),(380,1),(381,1),(544,1)}
       334:{4,7}:{(285,1),(289,1)}
       335:{3,5,7}:{(286,1),(290,1),(294,1),(378,1),(382,1)}
       336:{2,5,7}:{(287,1),(291,1),(295,1),(379,1),(384,1)}
       337:{4,5}:{(288,1),(289,1)}
       338:{3,4,6}:{(289,1),(290,1),(382,1),(385,1),(386,1)}
       339:{2,3,5,6}:{(290,1),(291,1),(298,1),(383,1),(386,1),(387,1),(392,1),(464,1),(507,1)}
       340:{1,5,6}:{(291,1),(299,1),(384,1),(400,1),(469,1)}
       341:{2,5,6}:{(292,1),(302,1),(380,1),(388,1)}
       342:{2,4,5,7}:{(292,1),(293,1),(296,1),(303,1),(381,1),(388,1),(389,1),(397,1)}
       343:{3,4,7}:{(293,1),(294,1),(297,1),(389,1),(478,1)}
       344:{2,3,7}:{(294,1),(295,1),(298,1),(391,1),(512,1)}
       345:{1,4,7}:{(295,1),(299,1),(384,1),(391,1)}
       346:{3,5}:{(296,1),(297,1)}
       347:{2,3,4,6}:{(297,1),(298,1),(300,1),(307,1),(386,1),(390,1),(392,1),(393,1),(417,1),(464,1),(482,1),(523,1)}
       348:{1,3,6}:{(298,1),(299,1),(301,1),(391,1),(394,1)}
       349:{1,3,4}:{(300,1),(301,1),(309,1),(395,1),(402,1)}
       350:{2,5}:{(301,1),(394,1),(395,1)}
       351:{1,4,6}:{(302,1),(303,1),(322,1),(388,1),(396,1),(469,1)}
       352:{1,3,5,7}:{(303,1),(304,1),(306,1),(323,1),(389,1),(396,1),(397,1)}
       353:{2,4,7}:{(304,1),(305,1),(307,1),(397,1),(398,1)}
       354:{1,3,7}:{(305,1),(308,1),(398,1),(399,1)}
       355:{2,5}:{(306,1),(307,1),(400,1)}
       356:{1,4,6}:{(307,1),(308,1),(309,1),(398,1),(400,1),(469,1)}
       357:{1,2,6}:{(308,1),(310,1),(328,1),(394,1),(399,1)}
       358:{1,2,4}:{(309,1),(310,1),(329,1),(395,1),(402,1)}
       359:{4,5,7}:{(311,1),(403,1),(404,1)}
       360:{3,4,6,7}:{(311,1),(312,1),(316,1),(404,1),(405,1),(407,1)}
       361:{2,3,6,7}:{(312,1),(313,1),(317,1),(405,1),(406,1),(413,1)}
       362:{1,6,7}:{(313,1),(318,1),(469,1)}
       363:{4,6}:{(314,1),(315,1)}
       364:{3,4,5,7}:{(315,1),(316,1),(319,1),(323,1),(404,1),(407,1),(408,1),(540,1),(551,1)}
       365:{2,4,7}:{(316,1),(317,1),(320,1),(409,1)}
       366:{1,3,5,7}:{(317,1),(318,1),(321,1),(325,1),(406,1),(409,1),(410,1),(474,1),(478,1),(520,1)}
       367:{2,4,5}:{(319,1),(320,1),(326,1),(411,1),(516,1)}
       368:{1,4,6}:{(320,1),(321,1),(409,1),(411,1),(412,1),(543,1)}
       369:{2,5,6}:{(321,1),(328,1),(410,1),(412,1),(416,1),(480,1)}
       370:{3,6}:{(322,1),(323,1)}
       371:{2,3,5,7}:{(323,1),(324,1),(326,1),(397,1),(408,1),(413,1),(414,1)}
       372:{1,3,4,7}:{(324,1),(325,1),(327,1),(398,1),(409,1),(414,1),(415,1),(471,1),(478,1),(518,1),(522,1)}
       373:{2,7}:{(325,1),(328,1)}
       374:{1,3,5}:{(326,1),(327,1),(400,1),(411,1),(416,1),(479,1),(542,1),(544,1)}
       375:{2,4,6}:{(327,1),(328,1),(329,1),(415,1),(416,1),(417,1),(480,1),(482,1)}
       376:{2,3}:{(329,1),(402,1)}
       377:{4,6,7}:{(330,1),(334,1),(418,1),(422,1)}
       378:{3,6,7}:{(331,1),(335,1),(429,1)}
       379:{2,6,7}:{(332,1),(336,1),(421,1),(436,1)}
       380:{3,5,6}:{(333,1),(341,1),(422,1),(429,1)}
       381:{4,5,7}:{(333,1),(334,1),(337,1),(422,1),(534,1),(549,1)}
       382:{3,4,7}:{(334,1),(335,1),(338,1),(424,1)}
       383:{2,3,5,7}:{(335,1),(336,1),(339,1),(344,1),(420,1),(424,1),(425,1),(484,1)}
       384:{1,5,7}:{(336,1),(340,1),(345,1),(421,1)}
       385:{3,4,5}:{(337,1),(338,1),(346,1),(426,1),(504,1)}
       386:{2,4,6}:{(338,1),(339,1),(424,1),(426,1),(427,1)}
       387:{1,3,5,6}:{(339,1),(340,1),(348,1),(425,1),(427,1),(428,1),(433,1),(491,1),(492,1),(524,1),(545,1)}
       388:{2,4,6}:{(341,1),(342,1),(351,1),(422,1),(429,1),(436,1)}
       389:{3,5,7}:{(342,1),(343,1),(346,1),(429,1)}
       390:{2,3,4,7}:{(343,1),(344,1),(347,1),(353,1),(424,1),(430,1),(431,1),(452,1),(506,1)}
       391:{1,3,7}:{(344,1),(345,1),(348,1),(432,1)}
       392:{2,3,5}:{(346,1),(347,1),(355,1),(426,1),(433,1),(536,1)}
       393:{1,3,4,6}:{(347,1),(348,1),(349,1),(356,1),(427,1),(431,1),(433,1),(434,1),(440,1),(491,1),(492,1),(498,1),(529,1),(532,1),(547,1)}
       394:{2,6}:{(348,1),(350,1),(432,1)}
       395:{2,4}:{(349,1),(350,1),(435,1)}
       396:{1,3,6}:{(351,1),(352,1),(370,1),(429,1),(436,1)}
       397:{2,5,7}:{(352,1),(353,1),(355,1),(436,1),(437,1)}
       398:{1,4,7}:{(353,1),(354,1),(356,1),(437,1)}
       399:{1,2,7}:{(354,1),(357,1),(373,1),(432,1)}
       400:{1,5}:{(355,1),(356,1)}
       401:{1,2,4,6}:{(356,1),(357,1),(358,1),(375,1),(434,1),(438,1),(439,1),(440,1),(496,1),(498,1),(532,1)}
       402:{1,3}:{(358,1),(376,1),(435,1)}
       403:{4,5,6}:{(359,1),(363,1),(441,1),(552,1)}
       404:{3,5,7}:{(359,1),(360,1),(441,1),(442,1)}
       405:{2,4,6,7}:{(360,1),(361,1),(365,1),(442,1),(443,1),(445,1)}
       406:{1,3,6,7}:{(361,1),(362,1),(366,1),(443,1),(444,1),(450,1),(501,1)}
       407:{3,4,6}:{(363,1),(364,1),(370,1),(441,1),(445,1)}
       408:{2,4,5,7}:{(364,1),(365,1),(367,1),(371,1),(442,1),(445,1),(446,1),(531,1),(548,1)}
       409:{1,4,7}:{(365,1),(366,1),(368,1),(447,1),(534,1)}
       410:{2,5,7}:{(366,1),(369,1),(373,1),(444,1),(447,1)}
       411:{1,4,5}:{(367,1),(368,1),(374,1),(448,1),(498,1),(549,1)}
       412:{2,4,6}:{(368,1),(369,1),(447,1),(448,1),(449,1)}
       413:{2,3,6}:{(370,1),(371,1),(436,1),(445,1),(450,1)}
       414:{1,3,5,7}:{(371,1),(372,1),(374,1),(437,1),(446,1),(450,1),(451,1),(503,1)}
       415:{2,4,7}:{(372,1),(373,1),(375,1),(451,1),(452,1)}
       416:{2,5}:{(374,1),(375,1)}
       417:{2,3,6}:{(375,1),(376,1),(440,1),(449,1),(452,1),(453,1)}
       418:{4,5,7}:{(377,1),(454,1),(455,1)}
       419:{3,4,6,7}:{(377,1),(378,1),(382,1),(455,1),(456,1),(458,1)}
       420:{2,3,6,7}:{(378,1),(379,1),(383,1),(456,1),(457,1),(464,1)}
       421:{1,6,7}:{(379,1),(384,1),(469,1)}
       422:{4,6}:{(380,1),(381,1)}
       423:{3,4,5,7}:{(381,1),(382,1),(385,1),(389,1),(455,1),(458,1),(459,1),(522,1),(544,1)}
       424:{2,4,7}:{(382,1),(383,1),(386,1),(460,1)}
       425:{1,3,5,7}:{(383,1),(384,1),(387,1),(391,1),(457,1),(460,1),(461,1),(508,1),(512,1),(538,1)}
       426:{2,4,5}:{(385,1),(386,1),(392,1),(462,1),(482,1)}
       427:{1,4,6}:{(386,1),(387,1),(460,1),(462,1),(463,1),(550,1)}
       428:{2,5,6}:{(387,1),(394,1),(461,1),(463,1),(467,1),(514,1)}
       429:{3,6}:{(388,1),(389,1)}
       430:{2,3,5,7}:{(389,1),(390,1),(392,1),(397,1),(459,1),(464,1),(465,1)}
       431:{1,3,4,7}:{(390,1),(391,1),(393,1),(398,1),(460,1),(465,1),(466,1),(471,1),(512,1),(518,1),(540,1)}
       432:{2,7}:{(391,1),(394,1)}
       433:{1,3,5}:{(392,1),(393,1),(400,1),(462,1),(467,1),(513,1),(542,1),(551,1)}
       434:{2,4,6}:{(393,1),(394,1),(395,1),(466,1),(467,1),(468,1),(514,1),(516,1)}
       435:{2,3}:{(395,1),(402,1)}
       436:{2,6}:{(396,1),(397,1),(469,1)}
       437:{1,5,7}:{(397,1),(398,1),(400,1),(469,1)}
       438:{1,2,4,7}:{(398,1),(399,1),(401,1),(415,1),(466,1),(470,1),(471,1),(518,1)}
       439:{1,2,5}:{(400,1),(401,1),(416,1),(467,1),(472,1),(542,1)}
       440:{1,3,6}:{(401,1),(402,1),(417,1),(468,1),(471,1),(472,1)}
       441:{3,5,6}:{(403,1),(404,1),(407,1),(473,1),(551,1)}
       442:{2,5,7}:{(404,1),(405,1),(473,1),(474,1)}
       443:{1,4,6,7}:{(405,1),(406,1),(409,1),(474,1),(475,1),(476,1)}
       444:{2,6,7}:{(406,1),(410,1),(480,1)}
       445:{2,4,6}:{(407,1),(408,1),(413,1),(473,1),(476,1)}
       446:{1,4,5,7}:{(408,1),(409,1),(411,1),(414,1),(474,1),(476,1),(477,1),(518,1),(542,1)}
       447:{2,4,7}:{(409,1),(410,1),(412,1),(478,1)}
       448:{2,4,5}:{(411,1),(412,1),(416,1),(479,1),(482,1)}
       449:{3,6}:{(412,1),(478,1),(479,1)}
       450:{1,3,6}:{(413,1),(414,1),(469,1),(476,1),(480,1),(521,1)}
       451:{2,5,7}:{(414,1),(415,1),(416,1),(480,1)}
       452:{2,3,7}:{(415,1),(417,1),(471,1),(478,1)}
       453:{2,3,5}:{(416,1),(417,1),(472,1),(479,1),(482,1)}
       454:{4,5,6}:{(418,1),(422,1),(483,1),(549,1)}
       455:{3,5,7}:{(418,1),(419,1),(483,1),(484,1)}
       456:{2,4,6,7}:{(419,1),(420,1),(424,1),(484,1),(485,1),(487,1)}
       457:{1,3,6,7}:{(420,1),(421,1),(425,1),(485,1),(486,1),(492,1),(526,1)}
       458:{3,4,6}:{(422,1),(423,1),(429,1),(483,1),(487,1)}
       459:{2,4,5,7}:{(423,1),(424,1),(426,1),(430,1),(484,1),(487,1),(488,1),(506,1),(536,1)}
       460:{1,4,7}:{(424,1),(425,1),(427,1),(489,1),(546,1)}
       461:{2,5,7}:{(425,1),(428,1),(432,1),(486,1),(489,1)}
       462:{1,4,5}:{(426,1),(427,1),(433,1),(490,1),(498,1),(552,1)}
       463:{2,4,6}:{(427,1),(428,1),(489,1),(490,1),(491,1)}
       464:{2,3,6}:{(429,1),(430,1),(436,1),(487,1),(492,1)}
       465:{1,3,5,7}:{(430,1),(431,1),(433,1),(437,1),(488,1),(492,1),(493,1),(528,1)}
       466:{2,4,7}:{(431,1),(432,1),(434,1),(493,1),(494,1)}
       467:{2,5}:{(433,1),(434,1)}
       468:{2,3,6}:{(434,1),(435,1),(440,1),(491,1),(494,1),(495,1)}
       469:{1,6}:{(436,1),(437,1)}
       470:{1,2,5,7}:{(437,1),(438,1),(439,1),(451,1),(493,1),(496,1),(497,1)}
       471:{1,3,7}:{(438,1),(440,1),(452,1),(494,1)}
       472:{1,3,5}:{(439,1),(440,1),(453,1),(495,1),(498,1)}
       473:{2,5,6}:{(441,1),(442,1),(445,1),(499,1),(548,1)}
       474:{1,5,7}:{(442,1),(443,1),(499,1),(500,1)}
       475:{2,4,6,7}:{(443,1),(444,1),(447,1),(500,1),(501,1),(502,1),(534,1)}
       476:{1,4,6}:{(445,1),(446,1),(450,1),(499,1),(502,1)}
       477:{2,4,5,7}:{(446,1),(447,1),(448,1),(451,1),(500,1),(502,1),(503,1),(506,1),(534,1),(536,1),(549,1)}
       478:{3,7}:{(447,1),(449,1)}
       479:{3,5}:{(448,1),(449,1),(504,1)}
       480:{2,6}:{(450,1),(451,1)}
       481:{2,3,5,7}:{(451,1),(452,1),(453,1),(497,1),(503,1),(505,1),(506,1),(536,1)}
       482:{2,4}:{(453,1),(498,1),(504,1)}
       483:{3,5,6}:{(454,1),(455,1),(458,1),(507,1),(544,1)}
       484:{2,5,7}:{(455,1),(456,1),(507,1),(508,1)}
       485:{1,4,6,7}:{(456,1),(457,1),(460,1),(508,1),(509,1),(510,1)}
       486:{2,6,7}:{(457,1),(461,1),(514,1)}
       487:{2,4,6}:{(458,1),(459,1),(464,1),(507,1),(510,1)}
       488:{1,4,5,7}:{(459,1),(460,1),(462,1),(465,1),(508,1),(510,1),(511,1),(518,1),(542,1)}
       489:{2,4,7}:{(460,1),(461,1),(463,1),(512,1)}
       490:{2,4,5}:{(462,1),(463,1),(467,1),(513,1),(516,1)}
       491:{3,6}:{(463,1),(512,1),(513,1)}
       492:{1,3,6}:{(464,1),(465,1),(469,1),(510,1),(514,1),(539,1)}
       493:{2,5,7}:{(465,1),(466,1),(467,1),(514,1)}
       494:{2,3,7}:{(466,1),(468,1),(471,1),(512,1)}
       495:{2,3,5}:{(467,1),(468,1),(472,1),(513,1),(516,1)}
       496:{1,2,6}:{(469,1),(470,1),(480,1),(514,1),(517,1)}
       497:{1,3,5,7}:{(470,1),(471,1),(472,1),(481,1),(515,1),(517,1),(518,1),(542,1)}
       498:{1,4}:{(472,1),(482,1),(516,1)}
       499:{1,5,6}:{(473,1),(474,1),(476,1),(519,1),(542,1)}
       500:{2,5,7}:{(474,1),(475,1),(519,1),(520,1)}
       501:{3,6,7}:{(475,1),(478,1),(520,1),(521,1)}
       502:{2,4,6}:{(476,1),(477,1),(480,1),(519,1),(521,1),(543,1)}
       503:{3,5,7}:{(477,1),(478,1),(479,1),(521,1),(522,1),(544,1)}
       504:{3,4}:{(479,1),(482,1)}
       505:{2,3,6}:{(480,1),(481,1),(517,1),(521,1),(523,1)}
       506:{2,4,7}:{(481,1),(482,1),(518,1),(522,1),(523,1)}
       507:{2,5,6}:{(483,1),(484,1),(487,1),(524,1),(536,1)}
       508:{1,5,7}:{(484,1),(485,1),(524,1),(525,1)}
       509:{2,4,6,7}:{(485,1),(486,1),(489,1),(525,1),(526,1),(527,1),(546,1)}
       510:{1,4,6}:{(487,1),(488,1),(492,1),(524,1),(527,1)}
       511:{2,4,5,7}:{(488,1),(489,1),(490,1),(493,1),(525,1),(527,1),(528,1),(531,1),(546,1),(548,1),(552,1)}
       512:{3,7}:{(489,1),(491,1)}
       513:{3,5}:{(490,1),(491,1),(529,1)}
       514:{2,6}:{(492,1),(493,1)}
       515:{2,3,5,7}:{(493,1),(494,1),(495,1),(497,1),(528,1),(530,1),(531,1),(548,1)}
       516:{2,4}:{(495,1),(498,1),(529,1)}
       517:{1,3,6}:{(496,1),(497,1),(505,1),(530,1),(532,1)}
       518:{1,4,7}:{(497,1),(498,1),(506,1),(531,1),(532,1)}
       519:{2,5,6}:{(499,1),(500,1),(502,1),(533,1),(536,1)}
       520:{3,5,7}:{(500,1),(501,1),(533,1),(534,1)}
       521:{3,6}:{(502,1),(503,1)}
       522:{3,4,7}:{(503,1),(504,1),(506,1),(534,1),(535,1)}
       523:{2,4,6}:{(505,1),(506,1),(532,1),(535,1),(536,1)}
       524:{1,5,6}:{(507,1),(508,1),(510,1),(537,1),(542,1)}
       525:{2,5,7}:{(508,1),(509,1),(537,1),(538,1)}
       526:{3,6,7}:{(509,1),(512,1),(538,1),(539,1)}
       527:{2,4,6}:{(510,1),(511,1),(514,1),(537,1),(539,1),(550,1)}
       528:{3,5,7}:{(511,1),(512,1),(513,1),(539,1),(540,1),(551,1)}
       529:{3,4}:{(513,1),(516,1)}
       530:{2,3,6}:{(514,1),(515,1),(517,1),(539,1),(541,1)}
       531:{2,4,7}:{(515,1),(516,1),(518,1),(540,1),(541,1)}
       532:{1,4,6}:{(517,1),(518,1),(523,1),(541,1),(542,1)}
       533:{3,5,6}:{(519,1),(520,1),(521,1),(543,1),(544,1)}
       534:{4,7}:{(520,1),(543,1)}
       535:{3,4,6}:{(521,1),(522,1),(523,1),(543,1),(544,1)}
       536:{2,5}:{(523,1),(542,1),(544,1)}
       537:{2,5,6}:{(524,1),(525,1),(527,1),(545,1),(548,1)}
       538:{3,5,7}:{(525,1),(526,1),(545,1),(546,1)}
       539:{3,6}:{(527,1),(528,1)}
       540:{3,4,7}:{(528,1),(529,1),(531,1),(546,1),(547,1)}
       541:{2,4,6}:{(530,1),(531,1),(532,1),(547,1),(548,1)}
       542:{1,5}:{(532,1),(536,1),(548,1)}
       543:{4,6}:{(533,1),(534,1),(549,1)}
       544:{3,5}:{(535,1),(536,1),(549,1)}
       545:{3,5,6}:{(537,1),(538,1),(539,1),(550,1),(551,1)}
       546:{4,7}:{(538,1),(550,1)}
       547:{3,4,6}:{(539,1),(540,1),(541,1),(550,1),(551,1)}
       548:{2,5}:{(541,1),(542,1),(551,1)}
       549:{4,5}:{(543,1),(544,1)}
       550:{4,6}:{(545,1),(546,1),(552,1)}
       551:{3,5}:{(547,1),(548,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1263 :   0:{2,3,4}:{(2,1),(3,1),(51,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(134,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(32,1),(74,1),(80,1)}
         4:{2,3,4}:{(12,1),(13,1),(24,1),(62,1)}
         5:{4,5,6}:{(16,1),(17,1),(142,1),(152,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,4,5}:{(1,1),(2,1),(19,1),(20,1),(91,1),(123,1)}
         8:{2,3,6}:{(2,1),(19,1),(21,1),(22,1)}
         9:{1,3,5}:{(2,1),(3,1),(20,1),(22,1),(23,1),(59,1)}
        10:{2,4}:{(3,1),(23,1),(24,1)}
        11:{3,4,5}:{(26,1),(27,1),(80,1),(115,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(29,1)}
        13:{1,3,4}:{(4,1),(29,1),(30,1),(32,1),(74,1),(106,1)}
        14:{1,2,4}:{(10,1),(30,1),(31,1),(32,1),(74,1)}
        15:{5,6,7}:{(33,1),(153,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(6,1),(34,1),(35,1),(134,1),(149,1)}
        18:{3,4,7}:{(6,1),(34,1),(36,1)}
        19:{2,4,6}:{(6,1),(7,1),(8,1),(35,1),(36,1),(37,1)}
        20:{1,4,5}:{(7,1),(9,1),(37,1),(38,1),(74,1),(110,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(79,1)}
        23:{2,5}:{(9,1),(10,1),(40,1)}
        24:{2,3}:{(10,1),(32,1)}
        25:{4,5,6}:{(43,1),(44,1),(127,1),(146,1)}
        26:{3,4,6}:{(11,1),(44,1),(45,1),(46,1)}
        27:{2,4,5}:{(11,1),(12,1),(46,1),(47,1),(62,1),(100,1)}
        28:{2,3,6}:{(12,1),(46,1),(48,1),(49,1)}
        29:{1,3,5}:{(12,1),(13,1),(47,1),(49,1),(50,1),(88,1)}
        30:{2,4}:{(13,1),(50,1),(51,1)}
        31:{1,2,5}:{(14,1),(23,1),(50,1),(52,1),(53,1)}
        32:{1,3}:{(14,1),(24,1),(51,1)}
        33:{4,6,7}:{(15,1),(16,1),(54,1),(152,1)}
        34:{3,5,7}:{(16,1),(17,1),(18,1),(54,1),(55,1)}
        35:{2,5,6}:{(17,1),(19,1),(55,1),(56,1),(123,1),(144,1)}
        36:{2,4,7}:{(18,1),(19,1),(21,1),(55,1),(57,1)}
        37:{1,4,6}:{(19,1),(20,1),(22,1),(56,1),(57,1),(58,1)}
        38:{2,4,5}:{(20,1),(23,1),(58,1),(59,1),(62,1),(100,1),(127,1)}
        39:{1,3,7}:{(21,1),(22,1),(57,1),(60,1),(97,1)}
        40:{2,6}:{(22,1),(23,1),(60,1)}
        41:{2,3,5}:{(23,1),(24,1),(53,1),(59,1),(61,1),(62,1),(100,1)}
        42:{5,6,7}:{(63,1),(150,1)}
        43:{4,5,7}:{(25,1),(63,1),(64,1)}
        44:{3,5,6}:{(25,1),(26,1),(64,1),(65,1),(115,1),(139,1)}
        45:{3,4,7}:{(26,1),(64,1),(66,1)}
        46:{2,4,6}:{(26,1),(27,1),(28,1),(65,1),(66,1),(67,1)}
        47:{1,4,5}:{(27,1),(29,1),(67,1),(68,1),(74,1),(110,1)}
        48:{2,3,7}:{(28,1),(66,1),(69,1)}
        49:{1,3,6}:{(28,1),(29,1),(67,1),(69,1),(70,1),(105,1)}
        50:{2,5}:{(29,1),(30,1),(70,1)}
        51:{2,3}:{(30,1),(32,1)}
        52:{1,2,6}:{(31,1),(40,1),(70,1),(72,1),(73,1)}
        53:{1,3,5}:{(31,1),(32,1),(41,1),(71,1),(73,1),(74,1),(110,1)}
        54:{3,6,7}:{(33,1),(34,1),(75,1),(149,1)}
        55:{2,5,7}:{(34,1),(35,1),(36,1),(75,1),(76,1)}
        56:{1,5,6}:{(35,1),(37,1),(76,1),(77,1),(110,1),(136,1)}
        57:{1,4,7}:{(36,1),(37,1),(39,1),(76,1),(78,1)}
        58:{2,4,6}:{(37,1),(38,1),(40,1),(77,1),(78,1),(79,1),(113,1)}
        59:{3,5}:{(38,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(40,1)}
        61:{2,3,6}:{(40,1),(41,1),(73,1),(79,1),(81,1),(82,1)}
        62:{2,4}:{(41,1),(74,1),(80,1)}
        63:{4,6,7}:{(42,1),(43,1),(83,1),(146,1)}
        64:{3,5,7}:{(43,1),(44,1),(45,1),(83,1),(84,1)}
        65:{2,5,6}:{(44,1),(46,1),(84,1),(85,1),(100,1),(129,1)}
        66:{2,4,7}:{(45,1),(46,1),(48,1),(84,1),(86,1)}
        67:{1,4,6}:{(46,1),(47,1),(49,1),(85,1),(86,1),(87,1)}
        68:{2,4,5}:{(47,1),(50,1),(87,1),(88,1),(91,1),(123,1),(142,1)}
        69:{1,3,7}:{(48,1),(49,1),(86,1),(89,1),(120,1)}
        70:{2,6}:{(49,1),(50,1),(89,1)}
        71:{2,3,5}:{(50,1),(51,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{1,2,7}:{(52,1),(60,1),(89,1),(92,1)}
        73:{1,3,6}:{(52,1),(53,1),(61,1),(90,1),(92,1),(93,1)}
        74:{1,4}:{(53,1),(62,1),(91,1)}
        75:{2,6,7}:{(54,1),(55,1),(94,1),(144,1)}
        76:{1,5,7}:{(55,1),(56,1),(57,1),(94,1),(95,1)}
        77:{2,5,6}:{(56,1),(58,1),(95,1),(96,1),(100,1),(129,1)}
        78:{2,4,7}:{(57,1),(58,1),(60,1),(95,1),(97,1),(126,1)}
        79:{3,6}:{(58,1),(59,1),(97,1)}
        80:{3,4}:{(59,1),(62,1)}
        81:{2,3,7}:{(60,1),(61,1),(92,1),(97,1),(99,1)}
        82:{2,4,6}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(129,1)}
        83:{3,6,7}:{(63,1),(64,1),(101,1),(139,1)}
        84:{2,5,7}:{(64,1),(65,1),(66,1),(101,1),(102,1)}
        85:{1,5,6}:{(65,1),(67,1),(102,1),(103,1),(110,1),(136,1)}
        86:{1,4,7}:{(66,1),(67,1),(69,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(70,1),(103,1),(104,1),(105,1),(132,1)}
        88:{3,5}:{(68,1),(105,1),(106,1)}
        89:{2,7}:{(69,1),(70,1)}
        90:{2,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{2,4}:{(71,1),(74,1),(106,1)}
        92:{1,3,7}:{(72,1),(73,1),(81,1),(107,1),(109,1)}
        93:{1,4,6}:{(73,1),(74,1),(82,1),(108,1),(109,1),(110,1),(136,1)}
        94:{1,6,7}:{(75,1),(76,1),(111,1),(136,1)}
        95:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        96:{3,5,6}:{(77,1),(79,1),(112,1),(113,1),(115,1),(139,1),(150,1)}
        97:{3,7}:{(78,1),(79,1)}
        98:{3,4,6}:{(79,1),(80,1),(82,1),(113,1),(114,1),(115,1),(139,1)}
        99:{2,4,7}:{(81,1),(82,1),(109,1),(114,1),(116,1)}
       100:{2,5}:{(82,1),(110,1),(115,1)}
       101:{2,6,7}:{(83,1),(84,1),(117,1),(129,1)}
       102:{1,5,7}:{(84,1),(85,1),(86,1),(117,1),(118,1)}
       103:{2,5,6}:{(85,1),(87,1),(118,1),(119,1),(123,1),(144,1)}
       104:{2,4,7}:{(86,1),(87,1),(89,1),(118,1),(120,1),(141,1)}
       105:{3,6}:{(87,1),(88,1),(120,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{2,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(144,1)}
       109:{1,4,7}:{(92,1),(93,1),(99,1),(122,1),(124,1)}
       110:{1,5}:{(93,1),(100,1),(123,1)}
       111:{2,6,7}:{(94,1),(95,1),(125,1),(129,1)}
       112:{3,5,7}:{(95,1),(96,1),(97,1),(125,1),(126,1),(145,1)}
       113:{4,6}:{(96,1),(126,1),(127,1)}
       114:{3,4,7}:{(97,1),(98,1),(99,1),(126,1),(128,1)}
       115:{3,5}:{(98,1),(100,1),(127,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{1,6,7}:{(101,1),(102,1),(130,1),(136,1)}
       118:{2,5,7}:{(102,1),(103,1),(104,1),(130,1),(131,1)}
       119:{3,5,6}:{(103,1),(105,1),(131,1),(132,1),(134,1),(149,1),(153,1)}
       120:{3,7}:{(104,1),(105,1)}
       121:{3,4,6}:{(105,1),(106,1),(108,1),(132,1),(133,1),(134,1),(149,1)}
       122:{2,4,7}:{(107,1),(108,1),(109,1),(133,1),(135,1)}
       123:{2,5}:{(108,1),(110,1),(134,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{3,6,7}:{(111,1),(112,1),(137,1),(139,1)}
       126:{4,7}:{(112,1),(113,1)}
       127:{4,5}:{(113,1),(115,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(138,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{2,6,7}:{(117,1),(118,1),(140,1),(144,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1),(151,1)}
       132:{4,6}:{(119,1),(141,1),(142,1)}
       133:{3,4,7}:{(120,1),(121,1),(122,1),(141,1),(143,1)}
       134:{3,5}:{(121,1),(123,1),(142,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,6,7}:{(125,1),(126,1),(145,1),(146,1)}
       138:{4,5,7}:{(126,1),(127,1),(128,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(146,1)}
       140:{3,6,7}:{(130,1),(131,1),(147,1),(149,1)}
       141:{4,7}:{(131,1),(132,1)}
       142:{4,5}:{(132,1),(134,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{5,7}:{(137,1),(150,1)}
       146:{4,6}:{(138,1),(139,1),(150,1)}
       147:{4,6,7}:{(140,1),(141,1),(151,1),(152,1)}
       148:{4,5,7}:{(141,1),(142,1),(143,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{5,7}:{(147,1),(153,1)}
       152:{4,6}:{(148,1),(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1264 :   0:{2,4,5,6}:{(2,1),(4,1),(5,1),(32,1),(35,1),(41,1),(109,1),(172,1),(282,1),(379,1),(393,1),(468,1)}
         1:{2,3,4,6}:{(7,1),(8,1),(9,1),(35,1),(45,1),(88,1),(101,1),(102,1),(192,1),(279,1),(286,1),(303,1)}
         2:{1,4,5,6}:{(0,1),(10,1),(12,1),(13,1),(59,1),(63,1),(124,1),(153,1),(234,1),(325,1),(347,1)}
         3:{2,5,6,7}:{(11,1),(14,1),(16,1),(135,1),(333,1),(441,1)}
         4:{2,4,5,7}:{(0,1),(12,1),(16,1),(17,1),(58,1),(60,1),(62,1),(135,1),(222,1),(333,1),(437,1)}
         5:{3,5,6}:{(0,1),(15,1),(17,1),(223,1),(336,1),(439,1)}
         6:{3,4,5}:{(15,1),(21,1),(244,1),(336,1),(500,1)}
         7:{2,3,5}:{(1,1),(21,1),(23,1),(336,1),(343,1),(361,1)}
         8:{2,3,4,7}:{(1,1),(22,1),(24,1),(62,1),(128,1),(144,1),(246,1),(335,1),(342,1)}
         9:{1,3,4,6}:{(1,1),(23,1),(24,1),(25,1),(63,1),(71,1),(76,1),(129,1),(138,1),(142,1),(150,1),(156,1),(253,1),(259,1),(341,1)}
        10:{2,4,5,6}:{(2,1),(27,1),(28,1),(32,1),(84,1),(97,1),(163,1),(189,1),(203,1),(269,1),(297,1),(315,1)}
        11:{1,5,6,7}:{(3,1),(26,1),(30,1),(183,1),(276,1),(401,1)}
        12:{1,4,5,7}:{(2,1),(4,1),(27,1),(30,1),(31,1),(92,1),(96,1),(171,1),(183,1),(276,1)}
        13:{1,3,5,6}:{(2,1),(5,1),(28,1),(29,1),(31,1),(32,1),(288,1),(399,1)}
        14:{3,5,6,7}:{(3,1),(33,1),(36,1),(94,1),(388,1),(479,1)}
        15:{3,4,6}:{(5,1),(6,1),(34,1),(35,1),(468,1)}
        16:{2,4,6,7}:{(3,1),(4,1),(30,1),(33,1),(36,1),(91,1),(393,1)}
        17:{3,5,7}:{(4,1),(5,1),(34,1),(36,1),(278,1)}
        18:{2,3,5,6}:{(5,1),(7,1),(32,1),(35,1),(37,1),(38,1),(45,1),(88,1),(109,1)}
        19:{1,3,4,5}:{(6,1),(29,1),(39,1),(44,1),(81,1),(103,1),(112,1),(166,1),(197,1),(272,1),(288,1)}
        20:{3,4,5,7}:{(6,1),(34,1),(42,1),(43,1),(94,1),(301,1),(390,1),(410,1),(478,1)}
        21:{2,4,5}:{(6,1),(7,1),(35,1),(44,1),(192,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(43,1),(45,1),(46,1),(390,1),(397,1)}
        23:{1,3,5}:{(7,1),(9,1),(44,1),(47,1),(112,1),(311,1),(316,1),(396,1)}
        24:{1,3,4,7}:{(8,1),(9,1),(46,1),(48,1),(96,1),(107,1),(176,1),(185,1),(199,1),(205,1),(395,1)}
        25:{2,4,6}:{(9,1),(47,1),(48,1),(49,1),(113,1),(115,1),(177,1),(190,1)}
        26:{2,5,6,7}:{(11,1),(50,1),(52,1),(220,1),(235,1),(353,1)}
        27:{2,4,5,7}:{(10,1),(12,1),(52,1),(53,1),(58,1),(121,1),(123,1),(137,1),(220,1),(235,1),(349,1)}
        28:{3,5,6}:{(10,1),(51,1),(53,1),(138,1),(238,1),(351,1)}
        29:{1,3,4,6}:{(13,1),(15,1),(19,1),(51,1),(55,1),(56,1),(63,1),(124,1),(129,1),(138,1),(223,1)}
        30:{1,4,6,7}:{(11,1),(12,1),(16,1),(52,1),(57,1),(132,1),(347,1)}
        31:{1,3,5,7}:{(12,1),(13,1),(17,1),(53,1),(55,1),(57,1),(58,1)}
        32:{2,5,6}:{(13,1),(56,1),(58,1),(59,1),(343,1),(445,1)}
        33:{4,6,7}:{(14,1),(60,1),(437,1),(508,1)}
        34:{3,4,7}:{(15,1),(17,1),(62,1),(437,1)}
        35:{2,4,6}:{(15,1),(18,1),(21,1),(62,1),(63,1)}
        36:{3,6,7}:{(16,1),(17,1),(439,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(58,1),(62,1),(64,1),(65,1),(128,1),(135,1)}
        38:{1,3,5,6}:{(18,1),(23,1),(59,1),(63,1),(65,1),(66,1),(76,1),(129,1),(138,1),(153,1),(258,1)}
        39:{2,4,5}:{(19,1),(56,1),(67,1),(68,1),(146,1),(251,1),(343,1)}
        40:{1,2,4,6}:{(25,1),(69,1),(70,1),(71,1),(145,1),(148,1),(150,1),(227,1),(242,1),(253,1),(341,1)}
        41:{4,5,6}:{(60,1),(72,1),(454,1),(508,1)}
        42:{3,4,6}:{(20,1),(72,1),(73,1),(439,1),(508,1)}
        43:{2,4,5,7}:{(20,1),(21,1),(22,1),(62,1),(73,1),(74,1),(135,1),(246,1),(361,1)}
        44:{1,4,5}:{(21,1),(23,1),(63,1),(75,1),(150,1),(370,1)}
        45:{2,3,6}:{(22,1),(73,1),(76,1),(439,1),(445,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(24,1),(74,1),(76,1),(77,1),(155,1),(443,1)}
        47:{2,5}:{(23,1),(25,1)}
        48:{2,4,7}:{(24,1),(25,1),(77,1),(79,1),(228,1)}
        49:{2,3,6}:{(25,1),(71,1),(78,1),(79,1),(138,1),(243,1)}
        50:{3,5,6,7}:{(26,1),(82,1),(85,1),(169,1),(292,1),(404,1)}
        51:{3,4,6}:{(28,1),(81,1),(83,1),(84,1),(315,1)}
        52:{2,4,6,7}:{(26,1),(27,1),(30,1),(82,1),(85,1),(91,1),(297,1)}
        53:{3,5,7}:{(27,1),(28,1),(83,1),(85,1),(185,1)}
        54:{2,3,5,6}:{(28,1),(32,1),(84,1),(86,1),(87,1),(88,1),(162,1),(266,1),(269,1)}
        55:{1,3,4,7}:{(29,1),(31,1),(34,1),(83,1),(89,1),(96,1),(171,1),(176,1),(185,1),(278,1)}
        56:{2,4,6}:{(29,1),(32,1),(39,1),(88,1),(89,1),(90,1),(177,1)}
        57:{1,3,6,7}:{(30,1),(31,1),(36,1),(85,1),(91,1),(399,1)}
        58:{2,5,7}:{(31,1),(32,1),(89,1),(91,1),(92,1)}
        59:{1,5,6}:{(32,1),(90,1),(92,1),(396,1),(482,1)}
        60:{4,5,7}:{(33,1),(41,1),(94,1)}
        61:{3,4,6,7}:{(33,1),(34,1),(36,1),(42,1),(94,1),(95,1)}
        62:{2,4,7}:{(34,1),(35,1),(37,1),(96,1)}
        63:{1,4,6}:{(35,1),(38,1),(44,1),(96,1),(97,1),(315,1)}
        64:{2,3,6,7}:{(36,1),(37,1),(45,1),(91,1),(95,1),(98,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(92,1),(96,1),(98,1),(99,1),(176,1),(183,1),(185,1),(292,1)}
        66:{2,5,6}:{(38,1),(47,1),(97,1),(99,1),(113,1),(177,1)}
        67:{2,3,5}:{(39,1),(88,1),(101,1),(103,1),(112,1),(272,1)}
        68:{1,4,5}:{(39,1),(90,1),(103,1),(308,1),(396,1)}
        69:{1,2,5}:{(40,1),(47,1),(106,1),(194,1),(311,1),(396,1)}
        70:{1,2,4,7}:{(40,1),(48,1),(105,1),(107,1),(193,1),(199,1),(283,1),(395,1)}
        71:{1,3,6}:{(40,1),(49,1),(102,1),(106,1),(107,1),(299,1)}
        72:{3,5,6}:{(41,1),(42,1),(94,1),(109,1),(410,1)}
        73:{2,4,6}:{(42,1),(43,1),(45,1),(109,1),(110,1)}
        74:{1,4,5,7}:{(43,1),(44,1),(46,1),(96,1),(110,1),(111,1),(183,1),(199,1),(311,1)}
        75:{2,4,5}:{(44,1),(47,1),(97,1),(112,1),(115,1)}
        76:{1,3,6}:{(45,1),(46,1),(110,1),(113,1),(204,1),(482,1)}
        77:{2,5,7}:{(46,1),(47,1),(48,1),(113,1)}
        78:{2,3,5}:{(47,1),(49,1),(106,1),(112,1),(115,1)}
        79:{2,3,7}:{(48,1),(49,1),(107,1),(185,1)}
        80:{2,3,4,6}:{(49,1),(108,1),(115,1),(116,1),(117,1),(186,1),(207,1),(209,1),(210,1),(286,1),(300,1),(409,1)}
        81:{3,4,5}:{(51,1),(119,1),(238,1),(370,1),(490,1)}
        82:{4,6,7}:{(50,1),(121,1),(349,1),(449,1)}
        83:{3,4,7}:{(51,1),(53,1),(123,1),(349,1)}
        84:{2,4,6}:{(51,1),(54,1),(119,1),(123,1),(124,1)}
        85:{3,6,7}:{(52,1),(53,1),(351,1)}
        86:{2,3,5,7}:{(53,1),(54,1),(58,1),(123,1),(125,1),(126,1),(128,1),(220,1)}
        87:{1,3,5,6}:{(54,1),(59,1),(124,1),(126,1),(127,1),(129,1),(213,1),(223,1),(322,1),(325,1),(427,1)}
        88:{2,3,6}:{(56,1),(67,1),(128,1),(129,1),(138,1),(223,1)}
        89:{2,4,7}:{(55,1),(56,1),(58,1),(128,1),(130,1),(228,1)}
        90:{1,4,6}:{(56,1),(59,1),(68,1),(129,1),(130,1)}
        91:{2,6,7}:{(57,1),(58,1),(132,1),(445,1)}
        92:{1,5,7}:{(58,1),(59,1),(130,1),(132,1)}
        93:{1,2,5,6}:{(59,1),(66,1),(69,1),(127,1),(131,1),(133,1),(134,1),(148,1),(227,1),(249,1),(321,1),(343,1),(421,1),(444,1),(445,1),(504,1)}
        94:{3,5,7}:{(60,1),(61,1),(72,1),(135,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(135,1),(136,1)}
        96:{1,4,7}:{(62,1),(63,1),(65,1),(137,1),(349,1)}
        97:{2,4,6}:{(63,1),(66,1),(75,1),(137,1),(138,1)}
        98:{1,3,6,7}:{(64,1),(65,1),(76,1),(132,1),(136,1),(139,1),(236,1)}
        99:{2,5,7}:{(65,1),(66,1),(137,1),(139,1),(228,1)}
       100:{2,3,5,6}:{(66,1),(78,1),(134,1),(138,1),(140,1),(141,1),(157,1),(229,1),(238,1),(258,1),(262,1),(343,1),(351,1),(353,1),(420,1),(445,1),(491,1),(504,1),(531,1),(532,1),(547,1)}
       101:{2,3,4}:{(67,1),(142,1),(156,1),(251,1),(328,1),(355,1)}
       102:{2,3,6}:{(71,1),(143,1),(144,1),(145,1),(355,1),(360,1)}
       103:{1,3,5}:{(67,1),(68,1),(129,1),(142,1),(146,1)}
       104:{1,2,4,5}:{(68,1),(69,1),(75,1),(131,1),(146,1),(147,1),(150,1),(217,1),(234,1),(242,1),(247,1),(251,1),(321,1),(343,1),(365,1),(423,1),(451,1),(493,1)}
       105:{1,2,5,7}:{(69,1),(70,1),(77,1),(148,1),(149,1),(248,1),(443,1)}
       106:{1,3,5}:{(69,1),(71,1),(78,1),(143,1),(150,1)}
       107:{1,3,7}:{(70,1),(71,1),(79,1),(144,1)}
       108:{1,3,4,6}:{(71,1),(80,1),(145,1),(150,1),(151,1),(152,1),(244,1),(253,1),(255,1),(256,1),(341,1),(356,1),(358,1),(360,1),(452,1)}
       109:{2,5,6}:{(72,1),(73,1),(135,1),(153,1),(361,1)}
       110:{1,4,6}:{(73,1),(74,1),(76,1),(153,1),(154,1)}
       111:{2,4,5,7}:{(74,1),(75,1),(77,1),(137,1),(154,1),(155,1),(158,1),(235,1),(262,1),(349,1),(370,1)}
       112:{3,5}:{(75,1),(138,1),(156,1)}
       113:{2,6}:{(76,1),(77,1)}
       114:{2,3,5,7}:{(77,1),(78,1),(79,1),(149,1),(155,1),(157,1),(158,1),(262,1)}
       115:{2,4}:{(78,1),(150,1),(156,1)}
       116:{2,3,4,7}:{(79,1),(80,1),(151,1),(158,1),(160,1),(237,1),(264,1),(342,1),(453,1)}
       117:{2,3,5}:{(80,1),(152,1),(159,1),(238,1),(262,1),(343,1)}
       118:{3,4,5,7}:{(81,1),(83,1),(164,1),(165,1),(169,1),(294,1),(403,1),(513,1),(540,1)}
       119:{2,4,5}:{(81,1),(84,1),(162,1),(166,1),(461,1)}
       120:{2,3,4,6}:{(84,1),(88,1),(101,1),(162,1),(167,1),(168,1),(186,1),(266,1),(286,1),(383,1),(461,1),(515,1)}
       121:{4,5,7}:{(82,1),(163,1),(169,1)}
       122:{3,4,6,7}:{(82,1),(83,1),(85,1),(164,1),(169,1),(170,1)}
       123:{2,4,7}:{(83,1),(84,1),(86,1),(171,1)}
       124:{1,4,6}:{(84,1),(87,1),(166,1),(171,1),(172,1),(468,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(91,1),(170,1),(173,1),(266,1)}
       126:{1,3,5,7}:{(86,1),(87,1),(92,1),(171,1),(173,1),(174,1),(176,1),(276,1),(278,1),(388,1)}
       127:{2,5,6}:{(87,1),(172,1),(174,1),(177,1),(268,1),(376,1)}
       128:{2,3,7}:{(88,1),(89,1),(176,1),(185,1),(278,1)}
       129:{1,3,6}:{(88,1),(90,1),(103,1),(176,1),(177,1)}
       130:{1,4,7}:{(89,1),(90,1),(92,1),(176,1)}
       131:{1,2,4,6}:{(90,1),(93,1),(97,1),(104,1),(172,1),(177,1),(178,1),(179,1),(182,1),(286,1),(305,1),(415,1),(486,1),(517,1)}
       132:{1,6,7}:{(91,1),(92,1),(482,1)}
       133:{1,2,5,7}:{(92,1),(93,1),(99,1),(174,1),(178,1),(180,1),(181,1),(283,1),(307,1),(397,1),(483,1),(526,1)}
       134:{1,3,5,6}:{(93,1),(100,1),(106,1),(175,1),(179,1),(181,1),(182,1),(198,1),(284,1),(288,1),(311,1),(375,1),(396,1),(399,1),(401,1),(462,1),(482,1),(518,1)}
       135:{2,5,7}:{(94,1),(95,1),(109,1),(183,1)}
       136:{1,4,6,7}:{(95,1),(96,1),(98,1),(110,1),(183,1),(184,1)}
       137:{2,4,7}:{(96,1),(97,1),(99,1),(185,1)}
       138:{3,6}:{(97,1),(112,1),(185,1)}
       139:{2,6,7}:{(98,1),(99,1),(113,1)}
       140:{2,3,5,7}:{(99,1),(100,1),(181,1),(185,1),(187,1),(188,1),(285,1),(292,1),(294,1),(296,1),(397,1),(526,1),(542,1),(551,1)}
       141:{2,4,6}:{(100,1),(115,1),(182,1),(186,1),(188,1),(189,1),(315,1),(461,1),(550,1)}
       142:{1,3,4}:{(101,1),(103,1),(190,1),(299,1),(308,1)}
       143:{2,3,5}:{(102,1),(106,1),(192,1),(194,1),(302,1)}
       144:{2,3,7}:{(102,1),(107,1),(193,1),(412,1)}
       145:{2,4,6}:{(102,1),(108,1),(192,1),(193,1),(194,1),(306,1),(407,1),(486,1)}
       146:{2,5}:{(103,1),(177,1),(190,1)}
       147:{1,3,5}:{(104,1),(112,1),(179,1),(196,1),(197,1),(272,1),(299,1),(302,1),(514,1)}
       148:{1,2,6}:{(105,1),(113,1),(198,1),(306,1),(482,1)}
       149:{1,3,5,7}:{(105,1),(106,1),(107,1),(114,1),(191,1),(198,1),(199,1),(311,1)}
       150:{1,4}:{(106,1),(115,1),(192,1)}
       151:{1,3,4,7}:{(107,1),(108,1),(116,1),(193,1),(199,1),(201,1),(301,1),(313,1),(395,1),(412,1),(487,1)}
       152:{1,3,5}:{(108,1),(117,1),(194,1),(200,1),(302,1),(311,1),(396,1),(410,1)}
       153:{1,5,6}:{(109,1),(110,1),(183,1),(203,1),(311,1)}
       154:{2,4,6}:{(110,1),(111,1),(113,1),(203,1),(204,1),(315,1)}
       155:{3,5,7}:{(111,1),(112,1),(185,1),(204,1),(205,1),(316,1)}
       156:{3,4}:{(112,1),(115,1)}
       157:{2,3,6}:{(113,1),(114,1),(198,1),(204,1),(207,1)}
       158:{2,4,7}:{(114,1),(115,1),(199,1),(205,1),(207,1)}
       159:{2,4,5}:{(115,1),(117,1),(200,1),(206,1),(209,1)}
       160:{2,3,5,7}:{(116,1),(117,1),(201,1),(208,1),(210,1),(294,1),(397,1)}
       161:{2,3,5,6}:{(117,1),(202,1),(209,1),(210,1),(211,1),(295,1),(319,1),(398,1),(409,1)}
       162:{2,3,5}:{(119,1),(120,1),(213,1),(238,1),(343,1),(532,1)}
       163:{4,5,6}:{(121,1),(214,1),(449,1),(546,1)}
       164:{3,4,6}:{(118,1),(214,1),(215,1),(351,1),(449,1)}
       165:{2,4,5,7}:{(118,1),(119,1),(123,1),(212,1),(215,1),(216,1),(220,1),(492,1),(532,1)}
       166:{1,4,5}:{(119,1),(124,1),(213,1),(217,1),(423,1),(500,1)}
       167:{2,3,4,7}:{(120,1),(123,1),(128,1),(212,1),(218,1),(237,1),(342,1),(431,1),(492,1)}
       168:{1,3,4,6}:{(120,1),(124,1),(129,1),(142,1),(213,1),(218,1),(219,1),(223,1),(322,1),(328,1),(330,1),(341,1),(423,1),(428,1),(494,1)}
       169:{3,5,7}:{(121,1),(122,1),(214,1),(220,1)}
       170:{2,4,6,7}:{(122,1),(123,1),(125,1),(215,1),(220,1),(221,1)}
       171:{1,4,7}:{(123,1),(124,1),(126,1),(222,1),(437,1)}
       172:{2,4,6}:{(124,1),(127,1),(217,1),(222,1),(223,1)}
       173:{1,3,6,7}:{(125,1),(126,1),(132,1),(221,1),(224,1),(322,1),(334,1)}
       174:{2,5,7}:{(126,1),(127,1),(222,1),(224,1),(228,1)}
       175:{2,3,5,6}:{(127,1),(134,1),(143,1),(223,1),(225,1),(226,1),(229,1),(245,1),(249,1),(324,1),(336,1),(343,1),(360,1),(361,1),(424,1),(427,1),(439,1),(441,1),(445,1),(455,1),(497,1)}
       176:{1,3,7}:{(128,1),(129,1),(130,1),(228,1)}
       177:{2,6}:{(129,1),(146,1),(228,1)}
       178:{1,2,4,7}:{(130,1),(131,1),(133,1),(137,1),(222,1),(228,1),(230,1),(233,1),(342,1),(363,1),(458,1),(511,1),(534,1)}
       179:{1,3,6}:{(131,1),(138,1),(147,1),(223,1),(229,1),(230,1),(360,1),(531,1)}
       180:{1,2,6,7}:{(132,1),(133,1),(139,1),(148,1),(224,1),(232,1),(364,1),(421,1),(445,1),(510,1),(539,1)}
       181:{1,3,5,7}:{(133,1),(134,1),(140,1),(225,1),(230,1),(232,1),(233,1),(340,1),(346,1),(443,1)}
       182:{1,4,6}:{(134,1),(141,1),(150,1),(226,1),(233,1),(234,1),(423,1)}
       183:{1,5,7}:{(135,1),(136,1),(153,1),(235,1)}
       184:{2,4,6,7}:{(136,1),(137,1),(139,1),(154,1),(235,1),(236,1),(349,1)}
       185:{3,7}:{(137,1),(138,1)}
       186:{3,4,6}:{(138,1),(141,1),(156,1),(237,1),(238,1),(351,1),(490,1),(531,1)}
       187:{2,3,6,7}:{(139,1),(140,1),(157,1),(232,1),(236,1),(239,1),(351,1),(445,1),(491,1),(539,1),(548,1)}
       188:{2,4,7}:{(140,1),(141,1),(233,1),(237,1),(349,1),(552,1)}
       189:{2,4,5}:{(141,1),(234,1),(238,1),(262,1),(343,1),(370,1),(532,1),(546,1)}
       190:{2,4}:{(142,1),(146,1),(243,1)}
       191:{2,3,5,7}:{(143,1),(144,1),(149,1),(245,1),(246,1),(248,1),(359,1),(361,1)}
       192:{2,4}:{(143,1),(150,1),(244,1)}
       193:{2,4,7}:{(144,1),(145,1),(151,1),(248,1),(511,1)}
       194:{2,5}:{(145,1),(152,1)}
       195:{1,2,5}:{(146,1),(227,1),(242,1),(250,1),(451,1)}
       196:{2,3,5}:{(146,1),(147,1),(229,1),(243,1),(250,1),(251,1),(343,1),(355,1),(451,1)}
       197:{1,3,4}:{(147,1),(150,1),(156,1),(244,1),(251,1),(328,1),(423,1),(490,1)}
       198:{1,3,6}:{(148,1),(149,1),(157,1),(245,1),(253,1)}
       199:{1,4,7}:{(149,1),(150,1),(158,1),(246,1),(253,1)}
       200:{1,4,5}:{(150,1),(152,1),(159,1),(247,1),(255,1),(454,1)}
       201:{1,3,5,7}:{(151,1),(152,1),(160,1),(248,1),(254,1),(256,1),(359,1),(443,1)}
       202:{1,3,5,6}:{(152,1),(161,1),(249,1),(255,1),(256,1),(257,1),(360,1),(368,1),(444,1),(452,1),(455,1)}
       203:{2,5,6}:{(153,1),(154,1),(235,1),(258,1),(262,1)}
       204:{3,6}:{(154,1),(155,1)}
       205:{3,4,7}:{(155,1),(156,1),(158,1),(259,1),(349,1)}
       206:{3,4,5}:{(156,1),(159,1),(238,1),(261,1),(546,1)}
       207:{2,4,6}:{(157,1),(158,1),(253,1),(259,1),(262,1)}
       208:{2,4,5,7}:{(158,1),(159,1),(160,1),(254,1),(260,1),(262,1),(263,1),(264,1),(373,1)}
       209:{2,4,6}:{(159,1),(161,1),(255,1),(261,1),(264,1)}
       210:{2,3,6}:{(160,1),(256,1),(263,1),(351,1),(445,1)}
       211:{2,3,5,7}:{(161,1),(257,1),(264,1),(265,1),(352,1),(373,1),(446,1),(453,1)}
       212:{2,3,5,7}:{(162,1),(165,1),(167,1),(266,1),(267,1),(294,1),(397,1)}
       213:{1,3,5}:{(162,1),(166,1),(168,1),(268,1),(272,1),(396,1),(469,1),(518,1)}
       214:{3,5,6}:{(163,1),(164,1),(169,1),(269,1),(540,1)}
       215:{2,4,6}:{(164,1),(165,1),(266,1),(269,1),(270,1)}
       216:{1,4,5,7}:{(165,1),(166,1),(171,1),(267,1),(270,1),(271,1),(276,1),(463,1),(518,1)}
       217:{2,4,5}:{(166,1),(172,1),(268,1),(272,1),(378,1)}
       218:{1,3,4,7}:{(167,1),(168,1),(171,1),(176,1),(267,1),(274,1),(278,1),(381,1),(384,1),(395,1),(463,1)}
       219:{2,4,6}:{(168,1),(177,1),(190,1),(268,1),(274,1),(275,1),(376,1),(378,1)}
       220:{2,5,7}:{(169,1),(170,1),(269,1),(276,1)}
       221:{1,4,6,7}:{(170,1),(171,1),(173,1),(270,1),(276,1),(277,1)}
       222:{2,4,7}:{(171,1),(172,1),(174,1),(278,1)}
       223:{3,6}:{(172,1),(272,1),(278,1)}
       224:{2,6,7}:{(173,1),(174,1),(376,1)}
       225:{2,3,5,7}:{(174,1),(175,1),(181,1),(278,1),(280,1),(281,1),(285,1),(307,1),(388,1),(390,1),(392,1),(397,1),(412,1),(489,1)}
       226:{2,4,6}:{(175,1),(182,1),(192,1),(279,1),(281,1),(282,1),(378,1),(468,1),(488,1)}
       227:{1,2,6}:{(177,1),(195,1),(283,1),(284,1),(486,1)}
       228:{2,7}:{(176,1),(177,1)}
       229:{2,3,6}:{(177,1),(179,1),(196,1),(284,1),(285,1),(286,1),(486,1)}
       230:{1,3,7}:{(178,1),(179,1),(185,1),(278,1),(285,1),(412,1),(542,1)}
       231:{1,3,4,6}:{(179,1),(182,1),(186,1),(197,1),(279,1),(286,1),(287,1),(288,1),(399,1)}
       232:{1,3,6,7}:{(180,1),(181,1),(187,1),(198,1),(280,1),(289,1),(399,1),(462,1),(482,1)}
       233:{1,4,7}:{(181,1),(182,1),(188,1),(281,1)}
       234:{1,4,5}:{(182,1),(189,1),(282,1),(288,1),(311,1),(396,1),(518,1)}
       235:{2,5,7}:{(183,1),(184,1),(203,1),(292,1)}
       236:{3,6,7}:{(184,1),(185,1),(204,1),(292,1)}
       237:{3,4,7}:{(185,1),(186,1),(188,1),(294,1),(542,1)}
       238:{3,5}:{(186,1),(189,1)}
       239:{2,4,6,7}:{(187,1),(188,1),(207,1),(289,1),(293,1),(296,1),(297,1),(515,1)}
       240:{2,4,5,7}:{(188,1),(189,1),(290,1),(294,1),(296,1),(297,1),(397,1),(403,1)}
       241:{2,4,5,6}:{(189,1),(209,1),(291,1),(295,1),(297,1),(298,1),(319,1),(398,1),(418,1),(517,1),(543,1),(550,1)}
       242:{1,2,4}:{(190,1),(195,1),(299,1),(308,1),(407,1)}
       243:{2,3}:{(190,1),(299,1)}
       244:{3,4}:{(192,1),(302,1)}
       245:{2,3,6}:{(191,1),(198,1),(303,1),(306,1),(411,1)}
       246:{2,4,7}:{(191,1),(192,1),(199,1),(301,1),(303,1)}
       247:{2,4,5}:{(192,1),(194,1),(200,1),(302,1),(305,1)}
       248:{2,5,7}:{(193,1),(194,1),(201,1),(306,1)}
       249:{2,5,6}:{(194,1),(202,1),(305,1),(306,1),(307,1),(486,1)}
       250:{1,3,5}:{(195,1),(196,1),(284,1),(299,1),(308,1),(396,1)}
       251:{2,4}:{(196,1),(197,1),(308,1)}
       252:{1,3,4,5}:{(197,1),(200,1),(206,1),(288,1),(302,1),(309,1),(310,1),(382,1),(408,1),(464,1),(514,1)}
       253:{1,4,6}:{(198,1),(199,1),(207,1),(303,1),(311,1)}
       254:{1,4,5,7}:{(199,1),(200,1),(201,1),(208,1),(304,1),(311,1),(312,1),(313,1),(417,1)}
       255:{1,4,6}:{(200,1),(202,1),(209,1),(305,1),(313,1),(488,1)}
       256:{1,3,6}:{(201,1),(210,1),(306,1),(312,1),(411,1),(482,1)}
       257:{1,3,5,7}:{(202,1),(211,1),(307,1),(313,1),(314,1),(412,1),(417,1),(483,1),(487,1),(489,1)}
       258:{3,5,6}:{(203,1),(204,1),(292,1),(315,1),(316,1)}
       259:{3,4,6}:{(204,1),(205,1),(207,1),(315,1),(316,1)}
       260:{3,4,5,7}:{(205,1),(206,1),(208,1),(294,1),(316,1),(317,1),(318,1),(403,1),(419,1)}
       261:{3,4,6}:{(206,1),(209,1),(295,1),(318,1),(550,1)}
       262:{2,5}:{(207,1),(311,1),(316,1)}
       263:{2,4,6}:{(208,1),(210,1),(312,1),(317,1),(319,1)}
       264:{2,4,7}:{(209,1),(211,1),(313,1),(318,1)}
       265:{2,3,6,7}:{(210,1),(211,1),(314,1),(320,1),(405,1),(484,1)}
       266:{2,3,6}:{(212,1),(215,1),(322,1),(351,1),(445,1)}
       267:{1,3,5,7}:{(212,1),(213,1),(216,1),(218,1),(322,1),(323,1),(327,1),(443,1)}
       268:{2,5}:{(213,1),(219,1)}
       269:{2,5,6}:{(214,1),(215,1),(220,1),(325,1),(532,1)}
       270:{1,4,6}:{(215,1),(216,1),(322,1),(325,1),(326,1)}
       271:{2,4,5,7}:{(216,1),(217,1),(222,1),(323,1),(326,1),(327,1),(333,1),(425,1),(437,1),(497,1),(500,1)}
       272:{3,5}:{(217,1),(223,1),(328,1)}
       273:{1,2,4,6}:{(219,1),(227,1),(242,1),(321,1),(329,1),(330,1),(341,1),(421,1),(423,1),(432,1),(494,1)}
       274:{2,4,7}:{(218,1),(219,1),(228,1),(323,1),(331,1)}
       275:{2,3,6}:{(219,1),(223,1),(243,1),(324,1),(330,1),(331,1)}
       276:{1,5,7}:{(220,1),(221,1),(325,1),(333,1)}
       277:{2,4,6,7}:{(221,1),(222,1),(224,1),(326,1),(333,1),(334,1),(437,1)}
       278:{3,7}:{(222,1),(223,1)}
       279:{3,4,6}:{(223,1),(226,1),(244,1),(328,1),(335,1),(336,1),(360,1),(439,1)}
       280:{2,3,6,7}:{(224,1),(225,1),(232,1),(245,1),(334,1),(337,1),(364,1),(424,1),(439,1),(445,1),(456,1)}
       281:{2,4,7}:{(225,1),(226,1),(233,1),(335,1),(437,1),(512,1)}
       282:{2,4,5}:{(226,1),(234,1),(336,1),(343,1),(361,1),(454,1),(497,1),(500,1)}
       283:{1,2,7}:{(227,1),(228,1),(340,1),(511,1)}
       284:{1,3,6}:{(227,1),(229,1),(250,1),(340,1),(341,1)}
       285:{2,3,7}:{(228,1),(229,1),(230,1),(340,1),(342,1),(511,1)}
       286:{2,4,6}:{(229,1),(231,1),(251,1),(341,1),(342,1),(343,1),(445,1)}
       287:{1,3,4,7}:{(230,1),(231,1),(233,1),(237,1),(335,1),(342,1),(344,1)}
       288:{1,3,5}:{(231,1),(234,1),(238,1),(336,1),(343,1)}
       289:{1,4,6,7}:{(232,1),(233,1),(239,1),(253,1),(337,1),(346,1),(347,1),(494,1)}
       290:{1,4,5,7}:{(233,1),(234,1),(240,1),(338,1),(344,1),(346,1),(347,1),(443,1)}
       291:{1,4,5,6}:{(234,1),(241,1),(255,1),(339,1),(345,1),(347,1),(348,1),(368,1),(444,1),(496,1),(535,1)}
       292:{3,5,7}:{(235,1),(236,1),(258,1),(349,1)}
       293:{3,4,6,7}:{(236,1),(237,1),(239,1),(259,1),(349,1),(350,1),(351,1),(449,1),(529,1),(548,1),(552,1)}
       294:{3,5,7}:{(237,1),(238,1),(240,1),(351,1)}
       295:{3,5,6}:{(238,1),(241,1),(261,1),(351,1),(352,1),(531,1)}
       296:{2,5,7}:{(239,1),(262,1),(346,1),(350,1),(353,1),(532,1)}
       297:{2,4,6}:{(240,1),(347,1),(351,1),(353,1),(445,1),(449,1)}
       298:{2,4,5,7}:{(241,1),(264,1),(348,1),(352,1),(354,1),(373,1),(446,1),(459,1),(534,1),(549,1),(552,1)}
       299:{1,3}:{(242,1),(243,1),(355,1)}
       300:{2,3,4}:{(243,1),(244,1),(251,1),(356,1),(357,1),(490,1)}
       301:{3,4,7}:{(244,1),(246,1),(358,1),(359,1),(512,1)}
       302:{3,5}:{(244,1),(247,1),(360,1)}
       303:{2,4,6}:{(245,1),(246,1),(253,1),(358,1),(361,1)}
       304:{2,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(359,1),(361,1),(362,1),(363,1),(454,1),(457,1),(512,1)}
       305:{2,4,6}:{(247,1),(249,1),(255,1),(360,1),(363,1)}
       306:{2,6}:{(248,1),(256,1)}
       307:{2,5,7}:{(249,1),(257,1),(363,1),(364,1),(511,1)}
       308:{1,4}:{(250,1),(251,1)}
       309:{2,4,5}:{(251,1),(252,1),(343,1),(357,1),(365,1),(366,1),(451,1)}
       310:{1,3,4,6}:{(252,1),(255,1),(261,1),(345,1),(360,1),(366,1),(367,1),(430,1),(452,1),(496,1),(531,1)}
       311:{1,5}:{(253,1),(262,1),(361,1)}
       312:{1,4,6}:{(254,1),(256,1),(263,1),(362,1),(368,1)}
       313:{1,4,7}:{(255,1),(257,1),(264,1),(363,1),(512,1)}
       314:{1,3,6,7}:{(256,1),(257,1),(265,1),(364,1),(369,1),(456,1),(510,1)}
       315:{4,6}:{(258,1),(349,1),(370,1)}
       316:{3,5}:{(259,1),(262,1),(370,1)}
       317:{3,4,6}:{(260,1),(263,1),(351,1),(371,1),(449,1)}
       318:{3,4,7}:{(261,1),(264,1),(352,1),(552,1)}
       319:{2,5,6}:{(262,1),(263,1),(368,1),(371,1),(373,1)}
       320:{2,4,6,7}:{(263,1),(264,1),(265,1),(369,1),(372,1),(373,1)}
       321:{1,2,5}:{(268,1),(273,1),(375,1),(396,1),(473,1),(518,1)}
       322:{1,3,6}:{(266,1),(267,1),(270,1),(376,1),(380,1),(482,1)}
       323:{2,5,7}:{(267,1),(268,1),(274,1),(376,1)}
       324:{2,3,5}:{(268,1),(272,1),(275,1),(375,1),(378,1)}
       325:{1,5,6}:{(269,1),(270,1),(276,1),(379,1),(518,1)}
       326:{2,4,6}:{(270,1),(271,1),(376,1),(379,1),(380,1),(468,1)}
       327:{3,5,7}:{(271,1),(272,1),(278,1),(380,1),(381,1),(469,1)}
       328:{3,4}:{(272,1),(378,1)}
       329:{1,2,4,7}:{(273,1),(274,1),(283,1),(374,1),(384,1),(395,1),(463,1),(472,1)}
       330:{1,3,6}:{(273,1),(275,1),(299,1),(375,1),(383,1),(384,1)}
       331:{2,3,7}:{(274,1),(275,1),(278,1),(384,1)}
       332:{2,3,4,6}:{(275,1),(279,1),(286,1),(300,1),(378,1),(385,1),(386,1),(387,1),(409,1),(465,1),(467,1),(476,1)}
       333:{2,5,7}:{(276,1),(277,1),(379,1),(388,1)}
       334:{3,6,7}:{(277,1),(278,1),(380,1),(388,1)}
       335:{3,4,7}:{(278,1),(279,1),(281,1),(390,1),(412,1)}
       336:{3,5}:{(279,1),(282,1)}
       337:{2,4,6,7}:{(280,1),(281,1),(289,1),(303,1),(389,1),(392,1),(393,1),(465,1)}
       338:{2,4,5,7}:{(281,1),(282,1),(290,1),(390,1),(392,1),(393,1),(397,1),(478,1)}
       339:{2,4,5,6}:{(282,1),(291,1),(305,1),(391,1),(393,1),(394,1),(398,1),(413,1),(467,1),(488,1),(521,1),(523,1)}
       340:{1,3,7}:{(283,1),(284,1),(285,1),(395,1)}
       341:{1,4,6}:{(284,1),(286,1),(308,1),(395,1),(396,1),(482,1)}
       342:{2,4,7}:{(285,1),(286,1),(287,1),(395,1),(397,1)}
       343:{2,5}:{(286,1),(288,1),(396,1)}
       344:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(390,1),(397,1),(399,1)}
       345:{1,3,5,6}:{(288,1),(291,1),(295,1),(310,1),(391,1),(398,1),(399,1),(400,1)}
       346:{1,5,7}:{(289,1),(296,1),(311,1),(392,1),(401,1),(518,1)}
       347:{1,4,6}:{(290,1),(297,1),(393,1),(399,1),(401,1),(482,1)}
       348:{1,4,5,7}:{(291,1),(298,1),(313,1),(394,1),(400,1),(402,1),(417,1),(483,1),(520,1),(545,1)}
       349:{4,7}:{(292,1),(315,1)}
       350:{3,5,7}:{(293,1),(296,1),(316,1),(403,1),(404,1),(540,1)}
       351:{3,6}:{(294,1),(297,1)}
       352:{3,5,7}:{(295,1),(298,1),(318,1),(405,1),(542,1)}
       353:{2,5,6}:{(296,1),(297,1),(401,1),(404,1)}
       354:{2,4,6,7}:{(297,1),(298,1),(402,1),(405,1),(406,1),(484,1),(485,1)}
       355:{2,3}:{(299,1),(407,1)}
       356:{1,3,4}:{(299,1),(300,1),(308,1),(407,1),(408,1)}
       357:{2,3,5}:{(300,1),(302,1),(309,1),(408,1),(409,1),(514,1)}
       358:{3,4,6}:{(301,1),(303,1),(410,1),(411,1),(488,1)}
       359:{3,5,7}:{(301,1),(302,1),(304,1),(410,1),(411,1),(412,1)}
       360:{3,6}:{(302,1),(305,1),(412,1)}
       361:{2,5}:{(303,1),(311,1),(410,1)}
       362:{2,4,6}:{(304,1),(306,1),(312,1),(411,1),(413,1),(488,1)}
       363:{2,4,7}:{(305,1),(307,1),(313,1),(412,1)}
       364:{2,6,7}:{(306,1),(307,1),(314,1)}
       365:{1,4,5}:{(308,1),(309,1),(396,1),(408,1),(415,1)}
       366:{2,4,6}:{(309,1),(310,1),(398,1),(409,1),(415,1),(416,1),(486,1)}
       367:{1,3,4,7}:{(310,1),(313,1),(318,1),(400,1),(412,1),(416,1),(471,1),(487,1),(520,1),(542,1)}
       368:{1,5,6}:{(311,1),(312,1),(319,1),(413,1),(417,1)}
       369:{1,4,6,7}:{(312,1),(313,1),(314,1),(320,1),(414,1),(417,1)}
       370:{4,5}:{(315,1),(316,1)}
       371:{3,5,6}:{(316,1),(317,1),(319,1),(418,1),(419,1)}
       372:{3,4,6,7}:{(317,1),(318,1),(320,1),(405,1),(419,1),(485,1)}
       373:{2,5,7}:{(319,1),(320,1),(417,1),(419,1)}
       374:{1,2,5,7}:{(321,1),(323,1),(329,1),(421,1),(422,1),(443,1),(503,1)}
       375:{1,3,5}:{(321,1),(324,1),(330,1),(420,1),(423,1)}
       376:{2,6}:{(322,1),(323,1)}
       377:{2,3,5,7}:{(323,1),(324,1),(327,1),(331,1),(422,1),(424,1),(425,1),(497,1)}
       378:{2,4}:{(324,1),(328,1),(423,1)}
       379:{2,5,6}:{(325,1),(326,1),(333,1),(427,1),(497,1)}
       380:{3,6}:{(326,1),(327,1)}
       381:{3,4,7}:{(327,1),(328,1),(425,1),(428,1),(437,1)}
       382:{3,4,5}:{(328,1),(336,1),(426,1),(430,1),(454,1)}
       383:{2,3,6}:{(330,1),(355,1),(420,1),(431,1),(432,1),(531,1)}
       384:{1,3,7}:{(329,1),(330,1),(331,1),(431,1)}
       385:{1,3,4,6}:{(330,1),(332,1),(341,1),(356,1),(423,1),(432,1),(433,1),(434,1),(452,1),(490,1),(494,1),(496,1),(505,1),(529,1),(531,1)}
       386:{2,3,4,7}:{(331,1),(332,1),(335,1),(342,1),(425,1),(433,1),(435,1),(453,1),(499,1)}
       387:{2,3,5}:{(332,1),(336,1),(343,1),(426,1),(434,1),(497,1)}
       388:{3,5,7}:{(333,1),(334,1),(427,1),(437,1)}
       389:{3,4,6,7}:{(334,1),(335,1),(337,1),(358,1),(428,1),(437,1),(438,1),(439,1),(456,1),(508,1),(512,1)}
       390:{3,5,7}:{(335,1),(336,1),(338,1),(439,1)}
       391:{3,5,6}:{(336,1),(339,1),(360,1),(430,1),(439,1),(440,1)}
       392:{2,5,7}:{(337,1),(346,1),(361,1),(438,1),(441,1),(497,1)}
       393:{2,4,6}:{(338,1),(347,1),(439,1),(441,1),(445,1),(508,1)}
       394:{2,4,5,7}:{(339,1),(348,1),(363,1),(440,1),(442,1),(446,1),(457,1),(499,1),(512,1),(537,1),(538,1)}
       395:{1,4,7}:{(340,1),(341,1),(342,1),(443,1)}
       396:{1,5}:{(341,1),(343,1)}
       397:{2,5,7}:{(342,1),(343,1),(344,1),(443,1),(445,1)}
       398:{2,5,6}:{(343,1),(345,1),(366,1),(444,1),(445,1),(446,1)}
       399:{1,3,6}:{(344,1),(347,1),(351,1),(439,1),(445,1)}
       400:{1,3,5,7}:{(345,1),(348,1),(352,1),(367,1),(440,1),(446,1),(447,1)}
       401:{1,5,6}:{(346,1),(347,1),(353,1),(441,1)}
       402:{1,4,6,7}:{(347,1),(348,1),(354,1),(442,1),(447,1),(448,1),(510,1)}
       403:{4,5,7}:{(349,1),(350,1),(370,1),(449,1),(546,1),(552,1)}
       404:{3,5,6}:{(350,1),(351,1),(353,1),(449,1)}
       405:{3,6,7}:{(351,1),(352,1),(354,1)}
       406:{2,5,6,7}:{(353,1),(354,1),(373,1),(448,1),(450,1),(549,1)}
       407:{2,4}:{(355,1),(356,1),(451,1)}
       408:{1,3,5}:{(356,1),(357,1),(365,1),(451,1),(452,1)}
       409:{2,3,6}:{(357,1),(360,1),(366,1),(452,1),(453,1),(531,1)}
       410:{3,5}:{(358,1),(361,1),(454,1)}
       411:{3,6}:{(359,1),(362,1)}
       412:{3,7}:{(360,1),(363,1)}
       413:{2,5,6}:{(361,1),(362,1),(368,1),(455,1),(457,1)}
       414:{2,4,6,7}:{(362,1),(363,1),(364,1),(369,1),(456,1),(457,1),(512,1)}
       415:{1,4,6}:{(365,1),(366,1),(444,1),(452,1),(458,1)}
       416:{2,4,7}:{(366,1),(367,1),(446,1),(453,1),(458,1),(511,1)}
       417:{1,5,7}:{(368,1),(369,1),(373,1),(457,1)}
       418:{4,5,6}:{(370,1),(371,1),(449,1),(459,1)}
       419:{3,5,7}:{(371,1),(372,1),(373,1),(459,1)}
       420:{2,3,5}:{(375,1),(383,1),(461,1),(473,1),(514,1)}
       421:{1,2,6}:{(374,1),(376,1),(462,1),(482,1),(525,1)}
       422:{1,3,5,7}:{(374,1),(375,1),(377,1),(384,1),(460,1),(462,1),(463,1),(518,1)}
       423:{1,4}:{(375,1),(378,1),(461,1)}
       424:{2,3,6}:{(376,1),(377,1),(380,1),(462,1),(465,1)}
       425:{2,4,7}:{(377,1),(378,1),(381,1),(463,1),(465,1)}
       426:{2,4,5}:{(378,1),(382,1),(387,1),(464,1),(467,1)}
       427:{3,5,6}:{(379,1),(380,1),(388,1),(468,1),(469,1)}
       428:{3,4,6}:{(380,1),(381,1),(465,1),(468,1),(469,1)}
       429:{3,4,5,7}:{(381,1),(382,1),(390,1),(466,1),(469,1),(470,1),(471,1),(478,1),(524,1)}
       430:{3,4,6}:{(382,1),(391,1),(467,1),(471,1),(488,1)}
       431:{2,3,7}:{(383,1),(384,1),(472,1),(542,1)}
       432:{2,4,6}:{(383,1),(385,1),(407,1),(461,1),(472,1),(473,1),(486,1),(525,1)}
       433:{1,3,4,7}:{(384,1),(385,1),(386,1),(395,1),(463,1),(472,1),(474,1),(487,1),(513,1),(520,1),(542,1)}
       434:{1,3,5}:{(385,1),(387,1),(396,1),(464,1),(473,1),(514,1),(518,1),(540,1)}
       435:{2,3,5,7}:{(386,1),(387,1),(390,1),(397,1),(466,1),(474,1),(476,1)}
       436:{2,3,5,6}:{(387,1),(391,1),(398,1),(409,1),(467,1),(475,1),(476,1),(477,1),(521,1)}
       437:{4,7}:{(388,1),(468,1)}
       438:{3,5,7}:{(389,1),(392,1),(410,1),(469,1),(478,1),(479,1)}
       439:{3,6}:{(390,1),(393,1)}
       440:{3,5,7}:{(391,1),(394,1),(412,1),(471,1),(480,1)}
       441:{2,5,6}:{(392,1),(393,1),(401,1),(479,1)}
       442:{2,4,6,7}:{(393,1),(394,1),(402,1),(480,1),(481,1),(484,1),(528,1)}
       443:{1,5,7}:{(395,1),(396,1),(397,1),(482,1)}
       444:{1,5,6}:{(396,1),(398,1),(415,1),(482,1),(483,1)}
       445:{2,6}:{(397,1),(399,1),(482,1)}
       446:{2,5,7}:{(398,1),(400,1),(416,1),(483,1),(484,1)}
       447:{1,3,6,7}:{(399,1),(400,1),(402,1),(405,1),(480,1),(484,1)}
       448:{1,5,6,7}:{(401,1),(402,1),(406,1),(417,1),(481,1),(545,1)}
       449:{4,6}:{(403,1),(404,1)}
       450:{3,5,6,7}:{(404,1),(405,1),(406,1),(419,1),(485,1),(551,1)}
       451:{2,5}:{(407,1),(408,1),(486,1)}
       452:{1,3,6}:{(408,1),(409,1),(415,1),(486,1),(487,1)}
       453:{2,3,7}:{(409,1),(412,1),(416,1),(487,1),(542,1)}
       454:{4,5}:{(410,1),(488,1)}
       455:{3,5,6}:{(410,1),(411,1),(413,1),(488,1),(489,1)}
       456:{3,6,7}:{(411,1),(412,1),(414,1),(489,1)}
       457:{2,5,7}:{(413,1),(414,1),(417,1),(489,1)}
       458:{1,4,7}:{(415,1),(416,1),(483,1),(487,1)}
       459:{4,5,7}:{(418,1),(419,1),(485,1)}
       460:{2,3,5,7}:{(420,1),(422,1),(431,1),(491,1),(492,1),(503,1),(530,1),(532,1)}
       461:{2,4}:{(420,1),(423,1),(490,1)}
       462:{1,3,6}:{(421,1),(422,1),(424,1),(491,1),(494,1)}
       463:{1,4,7}:{(422,1),(423,1),(425,1),(492,1),(494,1)}
       464:{1,4,5}:{(423,1),(426,1),(434,1),(493,1),(496,1),(546,1)}
       465:{2,4,6}:{(424,1),(425,1),(428,1),(494,1),(497,1)}
       466:{2,4,5,7}:{(425,1),(426,1),(429,1),(435,1),(495,1),(497,1),(498,1),(499,1),(537,1)}
       467:{2,4,6}:{(426,1),(430,1),(436,1),(496,1),(499,1)}
       468:{4,6}:{(427,1),(437,1),(500,1)}
       469:{3,5}:{(428,1),(497,1),(500,1)}
       470:{3,4,6}:{(429,1),(439,1),(498,1),(501,1),(508,1)}
       471:{3,4,7}:{(430,1),(440,1),(499,1),(512,1)}
       472:{2,4,7}:{(431,1),(432,1),(433,1),(503,1),(511,1)}
       473:{2,5}:{(432,1),(434,1)}
       474:{1,3,5,7}:{(433,1),(434,1),(435,1),(443,1),(495,1),(503,1),(505,1),(530,1)}
       475:{1,3,5,6}:{(434,1),(436,1),(444,1),(452,1),(496,1),(504,1),(505,1),(506,1),(531,1),(535,1),(547,1)}
       476:{2,3,6}:{(435,1),(439,1),(445,1),(498,1),(505,1)}
       477:{2,3,5,7}:{(436,1),(440,1),(446,1),(453,1),(499,1),(506,1),(507,1),(537,1)}
       478:{4,5,7}:{(437,1),(438,1),(454,1),(500,1),(508,1),(512,1)}
       479:{3,5,6}:{(438,1),(439,1),(441,1),(508,1)}
       480:{3,6,7}:{(439,1),(440,1),(442,1)}
       481:{2,5,6,7}:{(441,1),(442,1),(448,1),(457,1),(509,1),(537,1)}
       482:{1,6}:{(443,1),(445,1)}
       483:{1,5,7}:{(444,1),(446,1),(458,1),(510,1)}
       484:{2,6,7}:{(445,1),(446,1),(447,1),(510,1)}
       485:{4,6,7}:{(449,1),(450,1),(459,1),(552,1)}
       486:{2,6}:{(451,1),(452,1),(511,1)}
       487:{1,3,7}:{(452,1),(453,1),(458,1),(511,1)}
       488:{4,6}:{(454,1),(455,1),(512,1)}
       489:{3,5,7}:{(455,1),(456,1),(457,1),(512,1)}
       490:{3,4}:{(461,1),(514,1)}
       491:{2,3,6}:{(460,1),(462,1),(515,1),(525,1),(541,1)}
       492:{2,4,7}:{(460,1),(461,1),(463,1),(513,1),(515,1)}
       493:{2,4,5}:{(461,1),(464,1),(473,1),(514,1),(517,1)}
       494:{1,4,6}:{(462,1),(463,1),(465,1),(515,1),(518,1)}
       495:{1,4,5,7}:{(463,1),(464,1),(466,1),(474,1),(516,1),(518,1),(519,1),(520,1),(545,1)}
       496:{1,4,6}:{(464,1),(467,1),(475,1),(517,1),(520,1),(550,1)}
       497:{2,5}:{(465,1),(469,1),(518,1)}
       498:{2,4,6}:{(466,1),(470,1),(476,1),(519,1),(521,1)}
       499:{2,4,7}:{(467,1),(471,1),(477,1),(520,1)}
       500:{4,5}:{(468,1),(469,1)}
       501:{3,5,6}:{(469,1),(470,1),(521,1),(523,1),(524,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(480,1),(522,1),(524,1),(528,1)}
       503:{2,5,7}:{(472,1),(473,1),(474,1),(525,1)}
       504:{2,5,6}:{(473,1),(475,1),(486,1),(517,1),(525,1),(526,1)}
       505:{1,3,6}:{(474,1),(476,1),(482,1),(519,1),(525,1),(541,1)}
       506:{1,3,5,7}:{(475,1),(477,1),(483,1),(487,1),(520,1),(526,1),(527,1),(542,1),(545,1),(551,1)}
       507:{2,3,6,7}:{(476,1),(477,1),(480,1),(484,1),(522,1),(527,1)}
       508:{4,6}:{(478,1),(479,1)}
       509:{3,5,6,7}:{(479,1),(480,1),(481,1),(489,1),(524,1),(528,1)}
       510:{1,6,7}:{(482,1),(483,1),(484,1)}
       511:{2,7}:{(486,1),(487,1)}
       512:{4,7}:{(488,1),(489,1)}
       513:{3,4,7}:{(490,1),(492,1),(529,1),(530,1),(552,1)}
       514:{3,5}:{(490,1),(493,1),(531,1)}
       515:{2,4,6}:{(491,1),(492,1),(494,1),(529,1),(532,1)}
       516:{2,4,5,7}:{(492,1),(493,1),(495,1),(503,1),(530,1),(532,1),(533,1),(534,1),(546,1),(549,1),(552,1)}
       517:{2,4,6}:{(493,1),(496,1),(504,1),(531,1),(534,1)}
       518:{1,5}:{(494,1),(497,1),(532,1)}
       519:{1,4,6}:{(495,1),(498,1),(505,1),(533,1),(535,1)}
       520:{1,4,7}:{(496,1),(499,1),(506,1),(534,1),(552,1)}
       521:{2,5,6}:{(497,1),(498,1),(501,1),(535,1),(537,1)}
       522:{2,4,6,7}:{(498,1),(499,1),(502,1),(507,1),(536,1),(537,1)}
       523:{4,5,6}:{(500,1),(501,1),(508,1),(538,1)}
       524:{3,5,7}:{(501,1),(502,1),(537,1),(538,1)}
       525:{2,6}:{(503,1),(505,1)}
       526:{2,5,7}:{(504,1),(506,1),(511,1),(534,1),(539,1)}
       527:{1,3,6,7}:{(505,1),(506,1),(507,1),(510,1),(536,1),(539,1),(548,1)}
       528:{4,6,7}:{(508,1),(509,1),(512,1),(538,1)}
       529:{3,4,6}:{(513,1),(515,1),(540,1),(541,1),(550,1)}
       530:{3,5,7}:{(513,1),(514,1),(516,1),(540,1),(541,1),(542,1)}
       531:{3,6}:{(514,1),(517,1),(542,1)}
       532:{2,5}:{(515,1),(518,1),(540,1)}
       533:{2,4,6}:{(516,1),(519,1),(525,1),(541,1),(543,1),(550,1)}
       534:{2,4,7}:{(517,1),(520,1),(526,1),(542,1)}
       535:{1,5,6}:{(518,1),(519,1),(521,1),(543,1),(545,1)}
       536:{1,4,6,7}:{(519,1),(520,1),(522,1),(527,1),(544,1),(545,1)}
       537:{2,5,7}:{(521,1),(522,1),(524,1),(545,1)}
       538:{4,5,7}:{(523,1),(524,1),(528,1)}
       539:{2,6,7}:{(525,1),(526,1),(527,1)}
       540:{3,5}:{(529,1),(532,1),(546,1)}
       541:{3,6}:{(530,1),(533,1)}
       542:{3,7}:{(531,1),(534,1)}
       543:{2,5,6}:{(532,1),(533,1),(535,1),(547,1),(549,1)}
       544:{2,4,6,7}:{(533,1),(534,1),(536,1),(539,1),(548,1),(549,1),(552,1)}
       545:{1,5,7}:{(535,1),(536,1),(537,1),(549,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{3,6,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{2,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1265 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(74,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(5,1),(6,1),(105,1),(121,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(12,1),(58,1),(118,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(92,1),(117,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(67,1),(91,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(16,1),(17,1),(69,1),(74,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(21,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(44,1),(110,1),(111,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(77,1),(109,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(23,1),(24,1)}
        14:{3,5,6,7}:{(6,1),(24,1),(25,1),(121,1)}
        15:{1,3,4,5}:{(7,1),(16,1),(26,1),(47,1),(51,1),(76,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(15,1),(27,1),(28,1),(33,1),(53,1),(58,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(28,1),(86,1),(92,1)}
        18:{2,5,6}:{(9,1),(27,1),(31,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(28,1),(31,1),(32,1),(34,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(32,1)}
        21:{3,5,6}:{(11,1),(33,1),(34,1)}
        22:{2,4,5,7}:{(11,1),(12,1),(31,1),(34,1),(35,1),(62,1),(97,1),(99,1)}
        23:{1,4,6,7}:{(12,1),(13,1),(32,1),(35,1),(36,1)}
        24:{2,5,6,7}:{(13,1),(14,1),(36,1),(117,1)}
        25:{4,5,6,7}:{(14,1),(124,1)}
        26:{2,4,5}:{(15,1),(27,1),(38,1)}
        27:{2,4,6}:{(16,1),(18,1),(26,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(16,1),(17,1),(19,1),(41,1),(48,1),(71,1),(77,1)}
        29:{1,2,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1),(119,1)}
        30:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(44,1),(45,1),(72,1),(103,1),(110,1)}
        31:{2,5,7}:{(18,1),(19,1),(41,1),(46,1)}
        32:{1,3,6,7}:{(19,1),(20,1),(23,1),(46,1),(49,1)}
        33:{3,4,6}:{(21,1),(44,1),(47,1),(48,1)}
        34:{3,5,7}:{(21,1),(22,1),(48,1),(49,1)}
        35:{2,4,6,7}:{(22,1),(23,1),(46,1),(49,1),(50,1),(83,1)}
        36:{1,5,6,7}:{(23,1),(24,1),(50,1),(109,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(76,1),(84,1),(100,1)}
        38:{2,3,5}:{(26,1),(40,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(37,1),(53,1),(54,1),(58,1),(85,1)}
        40:{2,3,6}:{(27,1),(38,1),(53,1),(56,1)}
        41:{2,4,7}:{(27,1),(28,1),(31,1),(56,1)}
        42:{1,3,5,6}:{(29,1),(30,1),(53,1),(57,1),(58,1),(59,1),(87,1),(113,1),(118,1)}
        43:{1,2,5,7}:{(29,1),(31,1),(54,1),(59,1),(60,1),(112,1)}
        44:{2,4,6}:{(30,1),(33,1),(58,1),(61,1),(62,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(34,1),(56,1),(59,1),(62,1),(63,1),(97,1)}
        46:{2,6,7}:{(31,1),(32,1)}
        47:{3,4,5}:{(33,1),(61,1)}
        48:{3,4,7}:{(33,1),(34,1),(62,1)}
        49:{3,6,7}:{(34,1),(35,1)}
        50:{2,5,6,7}:{(35,1),(36,1),(66,1),(97,1)}
        51:{1,3,5}:{(37,1),(38,1),(53,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,3,6}:{(39,1),(40,1),(51,1),(69,1),(71,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(43,1),(71,1),(77,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(44,1),(52,1),(70,1),(72,1),(73,1),(103,1)}
        56:{2,3,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(69,1),(74,1),(75,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        58:{1,4,6}:{(42,1),(44,1),(74,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(71,1),(75,1),(77,1),(78,1),(109,1)}
        60:{1,2,6,7}:{(43,1),(46,1),(78,1),(119,1)}
        61:{2,4,5}:{(44,1),(47,1),(72,1),(76,1)}
        62:{2,4,7}:{(44,1),(45,1),(48,1),(77,1)}
        63:{2,3,6,7}:{(45,1),(46,1),(49,1),(78,1),(80,1),(103,1)}
        64:{3,4,5,7}:{(47,1),(48,1),(79,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(80,1),(81,1),(82,1),(83,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(100,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(53,1),(67,1),(85,1),(86,1)}
        70:{1,3,4,6}:{(53,1),(55,1),(58,1),(68,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        71:{1,3,7}:{(53,1),(54,1),(56,1),(86,1)}
        72:{2,3,5}:{(55,1),(61,1),(87,1)}
        73:{2,3,4,7}:{(55,1),(56,1),(62,1),(88,1),(89,1)}
        74:{2,4,6}:{(57,1),(58,1),(90,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(57,1),(59,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        76:{1,4,5}:{(58,1),(61,1),(87,1),(91,1)}
        77:{1,4,7}:{(58,1),(59,1),(62,1),(92,1)}
        78:{1,3,6,7}:{(59,1),(60,1),(63,1),(93,1),(95,1),(113,1)}
        79:{2,4,5,7}:{(61,1),(62,1),(64,1),(89,1),(94,1),(96,1),(97,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        81:{3,4,6}:{(64,1),(96,1),(98,1)}
        82:{3,5,7}:{(65,1),(97,1),(98,1),(99,1)}
        83:{4,6,7}:{(66,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,4,6}:{(69,1),(70,1),(84,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,5}:{(70,1),(72,1),(76,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(70,1),(71,1),(73,1),(77,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(79,1),(102,1),(103,1)}
        90:{3,4,6}:{(74,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(74,1),(76,1),(100,1),(104,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(105,1)}
        93:{2,3,6,7}:{(75,1),(78,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(76,1),(77,1),(79,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(77,1),(78,1),(80,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(79,1),(81,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(80,1),(82,1),(109,1),(110,1)}
        98:{3,5,6}:{(81,1),(82,1),(110,1),(111,1)}
        99:{4,5,7}:{(82,1),(83,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1266 :   0:{3,5,6,7}:{(2,1),(3,1),(22,1),(23,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(23,1),(32,1),(64,1),(231,1),(334,1),(408,1),(412,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(42,1),(265,1),(370,1)}
         3:{4,6,7}:{(0,1),(10,1),(364,1),(446,1)}
         4:{4,5,6}:{(10,1),(14,1),(381,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(451,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(15,1),(16,1),(42,1),(55,1),(94,1),(185,1),(287,1)}
         7:{2,3,4,7}:{(13,1),(17,1),(18,1),(94,1),(112,1),(171,1),(185,1),(368,1),(372,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(67,1),(214,1),(327,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(63,1),(413,1)}
        10:{4,5,7}:{(3,1),(4,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(24,1),(64,1)}
        12:{2,4,5,6}:{(4,1),(21,1),(25,1),(26,1),(29,1),(71,1),(73,1),(233,1),(314,1),(339,1),(404,1),(413,1)}
        13:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1),(33,1),(412,1),(416,1)}
        14:{3,5,6}:{(4,1),(5,1),(23,1),(29,1),(334,1)}
        15:{2,4,6}:{(5,1),(6,1),(27,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(28,1),(30,1),(31,1),(67,1),(83,1),(131,1),(144,1),(240,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1),(73,1),(140,1),(152,1),(153,1),(235,1),(249,1),(338,1),(343,1)}
        18:{1,3,4,7}:{(7,1),(28,1),(34,1),(35,1),(79,1),(82,1),(131,1),(144,1),(220,1),(224,1),(415,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(97,1),(166,1),(277,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(38,1),(39,1),(93,1),(374,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(12,1),(38,1),(40,1),(42,1),(92,1),(94,1),(265,1),(268,1),(364,1)}
        22:{3,6,7}:{(9,1),(40,1),(451,1)}
        23:{3,5,7}:{(10,1),(11,1),(14,1),(42,1)}
        24:{2,4,6,7}:{(11,1),(15,1),(41,1),(42,1),(43,1),(94,1)}
        25:{1,4,5,6}:{(12,1),(38,1),(44,1),(45,1),(50,1),(102,1),(105,1),(182,1),(262,1),(292,1),(374,1)}
        26:{3,5,6}:{(12,1),(40,1),(46,1),(285,1),(386,1),(451,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1),(451,1),(454,1)}
        28:{1,3,5,7}:{(13,1),(16,1),(18,1),(48,1),(49,1),(52,1),(56,1),(453,1)}
        29:{2,5,6}:{(14,1),(15,1),(42,1),(50,1),(287,1)}
        30:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(49,1),(51,1),(52,1),(97,1),(108,1),(118,1),(175,1),(178,1),(193,1),(195,1)}
        32:{3,4,5}:{(46,1),(55,1),(301,1),(386,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(287,1),(386,1),(390,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(48,1),(56,1),(57,1),(105,1),(110,1),(116,1),(186,1),(189,1),(191,1),(198,1),(204,1),(207,1),(389,1)}
        35:{2,4,7}:{(18,1),(49,1),(57,1),(58,1),(271,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(134,1),(228,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(63,1),(329,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(67,1),(129,1),(131,1),(214,1),(217,1)}
        39:{1,3,6,7}:{(20,1),(22,1),(61,1),(62,1),(63,1),(417,1)}
        40:{3,5,7}:{(21,1),(22,1),(26,1),(64,1),(320,1)}
        41:{2,3,6,7}:{(22,1),(24,1),(27,1),(63,1),(65,1),(66,1)}
        42:{2,5,7}:{(23,1),(24,1),(29,1),(67,1)}
        43:{1,4,6,7}:{(24,1),(30,1),(66,1),(67,1),(68,1),(131,1)}
        44:{2,4,5,6}:{(25,1),(60,1),(69,1),(71,1),(77,1),(122,1),(137,1),(145,1),(149,1),(212,1),(243,1),(329,1)}
        45:{1,3,5,6}:{(25,1),(26,1),(62,1),(69,1),(70,1),(71,1),(344,1),(417,1)}
        46:{3,4,6}:{(26,1),(32,1),(64,1),(73,1),(404,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(29,1),(33,1),(65,1),(71,1),(73,1),(74,1),(140,1)}
        48:{1,3,6}:{(27,1),(28,1),(30,1),(75,1),(78,1),(484,1)}
        49:{2,5,7}:{(28,1),(35,1),(75,1),(84,1)}
        50:{1,5,6}:{(29,1),(30,1),(67,1),(77,1),(240,1)}
        51:{2,4,6}:{(30,1),(31,1),(75,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(224,1)}
        53:{1,3,4,5}:{(32,1),(70,1),(80,1),(83,1),(136,1),(155,1),(160,1),(230,1),(254,1),(333,1),(344,1)}
        54:{1,2,4,7}:{(35,1),(72,1),(81,1),(82,1),(144,1),(154,1),(323,1),(415,1)}
        55:{2,4,5}:{(32,1),(33,1),(73,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(240,1),(430,1)}
        57:{2,4,6}:{(34,1),(35,1),(75,1),(84,1),(85,1),(161,1),(237,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(224,1)}
        59:{4,6,7}:{(36,1),(87,1),(178,1),(278,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(44,1),(87,1),(89,1),(92,1),(97,1),(166,1),(168,1),(175,1),(178,1)}
        61:{3,6,7}:{(37,1),(89,1),(376,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(45,1),(89,1),(91,1),(92,1)}
        63:{2,6,7}:{(39,1),(92,1),(93,1),(454,1)}
        64:{3,4,7}:{(40,1),(46,1),(94,1),(364,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(92,1),(94,1),(95,1),(171,1)}
        66:{1,3,6,7}:{(41,1),(43,1),(48,1),(93,1),(95,1),(96,1),(98,1)}
        67:{1,5,7}:{(42,1),(43,1),(50,1),(97,1)}
        68:{2,4,6,7}:{(43,1),(51,1),(96,1),(97,1),(98,1),(175,1),(178,1)}
        69:{3,5,6}:{(44,1),(89,1),(99,1),(191,1),(295,1),(376,1)}
        70:{1,3,4,6}:{(45,1),(46,1),(53,1),(91,1),(99,1),(101,1),(105,1),(182,1),(186,1),(191,1),(285,1)}
        71:{2,5,6}:{(45,1),(92,1),(101,1),(102,1),(390,1),(454,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(103,1),(104,1),(115,1),(201,1),(453,1)}
        73:{2,4,6}:{(46,1),(47,1),(55,1),(94,1),(105,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(50,1),(56,1),(95,1),(102,1),(105,1),(106,1),(109,1),(186,1),(191,1)}
        75:{2,6}:{(48,1),(49,1)}
        76:{2,3,5,7}:{(49,1),(52,1),(58,1),(104,1),(107,1),(108,1),(119,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(97,1),(109,1),(193,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(108,1),(110,1),(178,1),(207,1)}
        80:{2,4,5}:{(53,1),(101,1),(113,1),(114,1),(202,1),(306,1),(390,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(103,1),(115,1),(116,1),(189,1),(200,1),(204,1),(289,1),(299,1),(389,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(105,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(191,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(108,1),(117,1),(120,1),(121,1),(275,1),(311,1),(372,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(125,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(69,1),(125,1),(224,1)}
        90:{2,3,6,7}:{(61,1),(63,1),(124,1),(126,1),(127,1),(312,1)}
        91:{1,3,4,7}:{(62,1),(64,1),(70,1),(125,1),(128,1),(131,1),(217,1),(220,1),(224,1),(320,1)}
        92:{2,5,7}:{(62,1),(63,1),(71,1),(128,1),(129,1)}
        93:{1,6,7}:{(63,1),(129,1),(484,1)}
        94:{2,4,7}:{(64,1),(65,1),(73,1),(131,1)}
        95:{1,3,5,7}:{(65,1),(66,1),(67,1),(74,1),(129,1),(131,1),(132,1),(134,1),(220,1),(224,1)}
        96:{2,6,7}:{(66,1),(75,1),(132,1)}
        97:{2,5,7}:{(67,1),(68,1),(77,1),(134,1)}
        98:{3,6,7}:{(68,1),(78,1),(134,1),(224,1)}
        99:{3,4,6}:{(69,1),(125,1),(136,1),(137,1),(149,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(126,1),(137,1),(138,1),(140,1),(212,1),(229,1),(312,1)}
       101:{2,4,6}:{(70,1),(71,1),(80,1),(128,1),(140,1),(141,1),(237,1)}
       102:{1,5,6}:{(71,1),(129,1),(141,1),(430,1),(484,1)}
       103:{1,2,6}:{(72,1),(75,1),(143,1),(251,1),(484,1)}
       104:{1,3,5,7}:{(72,1),(76,1),(82,1),(139,1),(143,1),(144,1),(157,1),(240,1)}
       105:{1,4,6}:{(73,1),(74,1),(83,1),(131,1),(145,1),(149,1)}
       106:{2,5,6}:{(74,1),(75,1),(84,1),(132,1),(145,1),(237,1)}
       107:{2,3,6}:{(75,1),(76,1),(78,1),(143,1),(147,1)}
       108:{2,4,7}:{(76,1),(79,1),(144,1),(147,1),(161,1)}
       109:{3,5,6}:{(77,1),(78,1),(134,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(147,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(148,1),(150,1),(151,1),(227,1),(247,1),(258,1),(328,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(140,1),(152,1),(155,1),(160,1),(333,1)}
       114:{1,4,5}:{(80,1),(141,1),(155,1),(354,1),(430,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(240,1),(250,1),(430,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(144,1),(154,1),(158,1),(159,1),(231,1),(357,1),(415,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(145,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(147,1),(158,1),(161,1),(162,1),(163,1),(242,1),(259,1),(343,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(148,1),(159,1),(162,1),(163,1),(328,1),(416,1)}
       122:{4,5,6}:{(87,1),(164,1),(278,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(168,1),(261,1)}
       125:{3,4,7}:{(89,1),(99,1),(168,1),(178,1)}
       126:{2,3,5,7}:{(89,1),(90,1),(92,1),(100,1),(166,1),(168,1),(169,1),(171,1)}
       127:{1,3,6,7}:{(90,1),(93,1),(167,1),(169,1),(170,1),(266,1),(359,1)}
       128:{2,4,7}:{(91,1),(92,1),(101,1),(171,1),(172,1),(271,1)}
       129:{1,5,7}:{(92,1),(93,1),(102,1),(172,1)}
       130:{1,2,6,7}:{(93,1),(96,1),(103,1),(170,1),(173,1),(174,1),(304,1),(439,1),(454,1),(508,1),(537,1)}
       131:{1,4,7}:{(94,1),(95,1),(105,1),(175,1),(178,1)}
       132:{2,5,7}:{(95,1),(96,1),(106,1),(175,1),(271,1)}
       133:{2,3,6,7}:{(96,1),(98,1),(107,1),(174,1),(176,1),(177,1),(376,1),(454,1),(496,1),(537,1),(549,1)}
       134:{3,5,7}:{(97,1),(98,1),(109,1),(178,1)}
       135:{3,4,6,7}:{(98,1),(110,1),(177,1),(178,1),(179,1),(275,1),(278,1),(376,1),(530,1),(549,1),(552,1)}
       136:{3,4,5}:{(99,1),(180,1),(195,1),(295,1),(509,1)}
       137:{2,4,6}:{(99,1),(100,1),(168,1),(180,1),(182,1)}
       138:{1,3,5,6}:{(100,1),(102,1),(169,1),(182,1),(183,1),(186,1),(262,1),(280,1),(285,1),(359,1),(361,1)}
       139:{2,3,5,7}:{(104,1),(112,1),(184,1),(185,1),(199,1),(201,1),(283,1),(287,1)}
       140:{2,3,6}:{(101,1),(113,1),(171,1),(186,1),(191,1),(285,1)}
       141:{1,4,6}:{(101,1),(102,1),(114,1),(172,1),(186,1)}
       142:{1,2,5,6}:{(102,1),(103,1),(106,1),(115,1),(173,1),(183,1),(187,1),(188,1),(289,1),(303,1),(378,1),(390,1),(439,1),(454,1),(465,1),(513,1)}
       143:{1,3,6}:{(103,1),(104,1),(107,1),(184,1),(189,1)}
       144:{1,4,7}:{(104,1),(108,1),(185,1),(189,1),(204,1)}
       145:{2,4,6}:{(105,1),(106,1),(118,1),(175,1),(191,1)}
       146:{2,3,5,6}:{(106,1),(107,1),(109,1),(119,1),(176,1),(188,1),(191,1),(192,1),(193,1),(277,1),(290,1),(295,1),(376,1),(390,1),(454,1),(456,1),(496,1),(513,1),(531,1),(538,1),(547,1)}
       147:{2,4,6}:{(107,1),(108,1),(110,1),(189,1),(193,1)}
       148:{2,4,5,7}:{(108,1),(111,1),(121,1),(190,1),(193,1),(194,1),(208,1),(297,1),(311,1)}
       149:{4,6}:{(109,1),(178,1),(195,1)}
       150:{3,5}:{(110,1),(193,1),(195,1)}
       151:{3,4,6}:{(111,1),(194,1),(196,1),(278,1),(376,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(380,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(186,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(187,1),(202,1),(203,1),(204,1),(281,1),(292,1),(299,1),(302,1),(306,1),(378,1),(390,1),(399,1),(457,1),(467,1),(510,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(189,1),(200,1),(204,1),(205,1),(206,1),(282,1),(301,1),(308,1),(389,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(190,1),(201,1),(205,1),(206,1),(283,1),(453,1)}
       160:{3,5}:{(118,1),(191,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(193,1),(205,1),(208,1),(295,1),(390,1)}
       163:{2,3,6}:{(121,1),(194,1),(206,1),(376,1),(454,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(136,1),(211,1),(213,1),(227,1),(328,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(127,1),(214,1),(215,1),(217,1),(313,1)}
       168:{2,4,7}:{(125,1),(126,1),(137,1),(217,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(129,1),(138,1),(214,1),(217,1),(218,1),(220,1),(317,1),(320,1)}
       170:{2,6,7}:{(127,1),(218,1),(402,1)}
       171:{2,3,7}:{(128,1),(140,1),(220,1),(224,1),(320,1)}
       172:{1,4,7}:{(128,1),(129,1),(141,1),(220,1)}
       173:{1,2,5,7}:{(129,1),(130,1),(132,1),(142,1),(218,1),(221,1),(222,1),(323,1),(353,1),(416,1),(493,1),(529,1)}
       174:{1,3,6,7}:{(130,1),(133,1),(143,1),(219,1),(222,1),(223,1),(417,1),(471,1),(484,1)}
       175:{2,4,7}:{(131,1),(132,1),(145,1),(224,1)}
       176:{2,3,5,7}:{(132,1),(133,1),(134,1),(146,1),(222,1),(224,1),(225,1),(226,1),(324,1),(328,1),(416,1),(529,1),(545,1),(551,1)}
       177:{2,4,6,7}:{(133,1),(135,1),(147,1),(223,1),(225,1),(226,1),(329,1),(516,1)}
       178:{4,7}:{(134,1),(149,1)}
       179:{3,5,7}:{(135,1),(150,1),(226,1),(227,1),(228,1),(540,1)}
       180:{2,4,5}:{(136,1),(137,1),(229,1),(230,1),(486,1)}
       181:{2,3,4,6}:{(137,1),(140,1),(152,1),(216,1),(229,1),(232,1),(242,1),(312,1),(343,1),(425,1),(486,1),(516,1)}
       182:{1,4,6}:{(137,1),(138,1),(217,1),(230,1),(233,1),(404,1)}
       183:{2,5,6}:{(138,1),(218,1),(233,1),(237,1),(332,1),(402,1)}
       184:{2,3,6}:{(139,1),(143,1),(235,1),(251,1),(335,1)}
       185:{2,4,7}:{(139,1),(144,1),(231,1),(235,1),(249,1)}
       186:{1,3,6}:{(140,1),(141,1),(155,1),(220,1),(237,1)}
       187:{1,2,4,6}:{(141,1),(142,1),(145,1),(156,1),(221,1),(233,1),(237,1),(238,1),(239,1),(343,1),(352,1),(437,1),(494,1),(527,1)}
       188:{1,3,5,6}:{(142,1),(143,1),(146,1),(157,1),(222,1),(234,1),(238,1),(239,1),(240,1),(327,1),(342,1),(344,1),(417,1),(420,1),(430,1),(471,1),(484,1),(517,1)}
       189:{1,4,6}:{(143,1),(144,1),(147,1),(235,1),(240,1)}
       190:{1,4,5,7}:{(144,1),(148,1),(159,1),(236,1),(240,1),(241,1),(255,1),(346,1),(357,1)}
       191:{3,6}:{(145,1),(160,1),(224,1)}
       192:{2,4,6}:{(146,1),(149,1),(161,1),(225,1),(239,1),(242,1),(243,1),(486,1),(550,1)}
       193:{2,5}:{(147,1),(150,1),(240,1)}
       194:{2,4,6}:{(148,1),(151,1),(163,1),(241,1),(244,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(244,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(245,1),(247,1),(331,1),(358,1),(419,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(237,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(238,1),(253,1),(254,1),(333,1),(349,1),(351,1),(526,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(240,1),(250,1),(255,1),(334,1),(351,1),(430,1)}
       206:{1,3,6}:{(159,1),(163,1),(241,1),(251,1),(335,1),(484,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(244,1),(256,1),(259,1),(260,1),(347,1),(431,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(245,1),(257,1),(260,1),(419,1),(485,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(278,1),(376,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(170,1),(265,1),(266,1),(268,1),(360,1),(364,1)}
       216:{2,3,4,7}:{(168,1),(171,1),(181,1),(263,1),(267,1),(275,1),(372,1),(448,1),(501,1)}
       217:{1,4,7}:{(168,1),(169,1),(182,1),(268,1),(364,1)}
       218:{2,5,7}:{(169,1),(170,1),(183,1),(268,1),(271,1)}
       219:{2,3,6,7}:{(170,1),(174,1),(184,1),(266,1),(269,1),(270,1),(304,1),(383,1),(440,1),(451,1),(454,1)}
       220:{1,3,7}:{(171,1),(172,1),(186,1),(271,1)}
       221:{1,2,4,7}:{(172,1),(173,1),(175,1),(187,1),(268,1),(271,1),(272,1),(273,1),(372,1),(398,1),(470,1),(515,1),(539,1)}
       222:{1,3,5,7}:{(173,1),(174,1),(176,1),(188,1),(269,1),(272,1),(273,1),(274,1),(371,1),(453,1)}
       223:{1,4,6,7}:{(174,1),(177,1),(189,1),(270,1),(273,1),(274,1),(374,1),(497,1)}
       224:{3,7}:{(175,1),(191,1)}
       225:{2,4,7}:{(176,1),(178,1),(192,1),(273,1),(275,1),(552,1)}
       226:{2,5,7}:{(177,1),(179,1),(193,1),(274,1),(277,1),(531,1)}
       227:{4,5,7}:{(178,1),(179,1),(195,1),(278,1),(546,1),(552,1)}
       228:{3,5,6}:{(179,1),(277,1),(278,1),(376,1)}
       229:{2,3,5}:{(180,1),(181,1),(280,1),(295,1),(390,1),(531,1)}
       230:{1,4,5}:{(180,1),(182,1),(280,1),(281,1),(442,1),(457,1)}
       231:{3,4,7}:{(185,1),(282,1),(283,1),(301,1),(460,1)}
       232:{1,3,4,6}:{(181,1),(182,1),(186,1),(198,1),(267,1),(280,1),(284,1),(285,1),(359,1),(380,1),(384,1),(389,1),(441,1),(457,1),(497,1)}
       233:{2,4,6}:{(182,1),(183,1),(268,1),(281,1),(285,1)}
       234:{2,3,5,6}:{(183,1),(184,1),(188,1),(199,1),(269,1),(285,1),(286,1),(287,1),(290,1),(303,1),(361,1),(370,1),(379,1),(382,1),(386,1),(390,1),(397,1),(440,1),(451,1),(454,1),(498,1)}
       235:{2,4,6}:{(184,1),(185,1),(189,1),(282,1),(287,1)}
       236:{2,4,5,7}:{(185,1),(190,1),(201,1),(283,1),(287,1),(288,1),(302,1),(381,1),(388,1),(398,1),(460,1)}
       237:{2,6}:{(186,1),(202,1),(271,1)}
       238:{1,3,6}:{(187,1),(191,1),(203,1),(272,1),(285,1),(290,1),(397,1),(538,1)}
       239:{1,4,6}:{(188,1),(192,1),(204,1),(273,1),(286,1),(292,1),(457,1)}
       240:{1,5}:{(189,1),(193,1),(287,1)}
       241:{1,4,6}:{(190,1),(194,1),(206,1),(288,1),(293,1)}
       242:{3,4,6}:{(191,1),(192,1),(207,1),(275,1),(295,1),(376,1),(509,1),(538,1)}
       243:{2,4,5}:{(192,1),(193,1),(195,1),(292,1),(295,1),(390,1),(531,1),(546,1)}
       244:{2,5,6}:{(193,1),(194,1),(196,1),(293,1),(297,1)}
       245:{2,4,6,7}:{(194,1),(197,1),(210,1),(294,1),(297,1),(311,1)}
       246:{4,5,6}:{(195,1),(196,1),(278,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(297,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(289,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(290,1),(300,1),(305,1),(306,1),(390,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(380,1),(457,1),(509,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(381,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(293,1),(303,1),(308,1),(309,1),(382,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(294,1),(304,1),(309,1),(383,1),(508,1)}
       258:{3,4,5}:{(207,1),(208,1),(295,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(297,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(229,1),(312,1),(315,1),(328,1),(416,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(230,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(320,1),(403,1)}
       267:{1,3,4,7}:{(216,1),(217,1),(220,1),(232,1),(315,1),(319,1),(320,1),(407,1),(410,1),(415,1),(476,1)}
       268:{2,4,7}:{(217,1),(218,1),(233,1),(320,1)}
       269:{2,3,5,7}:{(218,1),(219,1),(222,1),(234,1),(317,1),(320,1),(321,1),(322,1),(324,1),(353,1),(412,1),(416,1),(424,1),(436,1)}
       270:{2,4,6,7}:{(219,1),(223,1),(235,1),(318,1),(321,1),(322,1),(413,1),(472,1)}
       271:{2,7}:{(220,1),(237,1)}
       272:{1,3,7}:{(221,1),(224,1),(238,1),(320,1),(324,1),(436,1),(545,1)}
       273:{1,4,7}:{(222,1),(225,1),(239,1),(321,1)}
       274:{1,5,7}:{(223,1),(226,1),(240,1),(322,1),(327,1),(517,1)}
       275:{3,4,7}:{(224,1),(225,1),(242,1),(328,1),(545,1)}
       276:{2,4,5,7}:{(225,1),(226,1),(227,1),(243,1),(326,1),(328,1),(329,1),(416,1)}
       277:{2,5,6}:{(226,1),(228,1),(327,1),(329,1)}
       278:{4,6}:{(227,1),(228,1)}
       279:{3,5,6,7}:{(228,1),(247,1),(330,1),(331,1),(419,1),(551,1)}
       280:{1,3,5}:{(229,1),(230,1),(232,1),(332,1),(333,1),(430,1),(473,1),(517,1)}
       281:{2,4,5}:{(230,1),(233,1),(332,1),(333,1),(421,1)}
       282:{3,4,6}:{(231,1),(235,1),(334,1),(335,1),(423,1)}
       283:{3,5,7}:{(231,1),(236,1),(334,1),(335,1),(351,1),(436,1)}
       284:{2,4,6}:{(232,1),(237,1),(248,1),(319,1),(332,1),(337,1),(402,1),(421,1)}
       285:{3,6}:{(233,1),(320,1),(333,1)}
       286:{2,4,6}:{(234,1),(239,1),(249,1),(321,1),(338,1),(339,1),(404,1),(421,1),(423,1)}
       287:{2,5}:{(235,1),(240,1),(334,1)}
       288:{2,4,6}:{(236,1),(241,1),(251,1),(335,1),(340,1),(423,1)}
       289:{1,2,6}:{(237,1),(252,1),(323,1),(342,1),(494,1)}
       290:{2,3,6}:{(237,1),(238,1),(253,1),(324,1),(342,1),(343,1),(494,1)}
       291:{1,3,4,6}:{(238,1),(239,1),(242,1),(254,1),(325,1),(338,1),(343,1),(344,1),(417,1)}
       292:{1,4,5}:{(239,1),(240,1),(243,1),(339,1),(344,1),(430,1),(517,1)}
       293:{1,5,6}:{(240,1),(241,1),(244,1),(340,1),(346,1)}
       294:{1,4,6,7}:{(241,1),(245,1),(257,1),(341,1),(346,1),(357,1)}
       295:{3,5}:{(242,1),(243,1)}
       296:{2,4,5,6}:{(243,1),(244,1),(246,1),(259,1),(329,1),(345,1),(347,1),(348,1),(431,1),(527,1),(541,1),(550,1)}
       297:{2,5,7}:{(244,1),(245,1),(247,1),(346,1)}
       298:{4,5,7}:{(246,1),(247,1),(331,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(342,1),(349,1),(354,1),(430,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(344,1),(351,1),(355,1),(356,1),(422,1),(434,1),(487,1),(526,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(423,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(346,1),(353,1),(357,1),(424,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(347,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(376,1),(454,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(280,1),(359,1),(362,1),(363,1),(453,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(281,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(270,1),(282,1),(364,1),(365,1),(368,1),(383,1),(441,1),(446,1),(451,1),(460,1)}
       319:{2,4,7}:{(267,1),(271,1),(284,1),(362,1),(367,1)}
       320:{3,7}:{(268,1),(285,1)}
       321:{2,4,7}:{(269,1),(273,1),(286,1),(364,1),(368,1),(460,1)}
       322:{2,5,7}:{(270,1),(274,1),(287,1),(365,1),(370,1),(498,1)}
       323:{1,2,7}:{(271,1),(289,1),(371,1),(515,1)}
       324:{2,3,7}:{(271,1),(272,1),(290,1),(371,1),(372,1),(515,1)}
       325:{1,3,4,7}:{(272,1),(273,1),(275,1),(291,1),(368,1),(372,1),(373,1)}
       326:{1,4,5,7}:{(273,1),(274,1),(276,1),(292,1),(369,1),(373,1),(374,1),(453,1)}
       327:{1,5,6}:{(274,1),(277,1),(370,1),(374,1)}
       328:{3,5,7}:{(275,1),(276,1),(295,1),(376,1)}
       329:{2,4,6}:{(276,1),(277,1),(278,1),(374,1),(376,1),(454,1)}
       330:{2,5,6,7}:{(277,1),(279,1),(297,1),(375,1),(377,1),(548,1)}
       331:{4,6,7}:{(278,1),(279,1),(298,1),(552,1)}
       332:{2,5}:{(280,1),(284,1)}
       333:{3,5}:{(281,1),(285,1),(380,1)}
       334:{3,5}:{(282,1),(287,1),(381,1)}
       335:{3,6}:{(283,1),(288,1)}
       336:{1,2,4,6}:{(284,1),(289,1),(299,1),(366,1),(378,1),(384,1),(389,1),(439,1),(457,1),(461,1),(497,1)}
       337:{2,3,6}:{(284,1),(285,1),(300,1),(367,1),(379,1),(384,1)}
       338:{3,4,6}:{(285,1),(286,1),(301,1),(368,1),(380,1),(386,1),(397,1),(451,1)}
       339:{2,4,5}:{(286,1),(287,1),(292,1),(381,1),(386,1),(390,1),(442,1),(498,1)}
       340:{2,5,6}:{(287,1),(288,1),(293,1),(382,1),(388,1)}
       341:{2,4,6,7}:{(288,1),(294,1),(304,1),(383,1),(388,1),(398,1),(460,1)}
       342:{1,3,6}:{(289,1),(290,1),(305,1),(371,1),(389,1)}
       343:{2,4,6}:{(290,1),(291,1),(306,1),(372,1),(389,1),(390,1),(454,1)}
       344:{1,3,5}:{(291,1),(292,1),(295,1),(386,1),(390,1)}
       345:{1,4,5,6}:{(292,1),(293,1),(296,1),(308,1),(374,1),(387,1),(391,1),(392,1),(465,1),(511,1),(532,1)}
       346:{1,5,7}:{(293,1),(294,1),(297,1),(388,1)}
       347:{3,5,6}:{(295,1),(296,1),(310,1),(376,1),(393,1),(538,1)}
       348:{2,4,5,7}:{(296,1),(297,1),(298,1),(311,1),(377,1),(392,1),(393,1),(466,1),(539,1),(548,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(509,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(390,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(391,1),(397,1),(400,1),(401,1),(459,1),(468,1),(511,1),(538,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(460,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(484,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(332,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(333,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(322,1),(334,1),(408,1),(409,1),(473,1)}
       366:{1,2,4,7}:{(319,1),(323,1),(336,1),(405,1),(410,1),(415,1),(476,1),(480,1)}
       367:{2,3,7}:{(319,1),(320,1),(337,1),(410,1)}
       368:{3,4,7}:{(320,1),(321,1),(338,1),(412,1),(436,1)}
       369:{2,4,5,7}:{(321,1),(322,1),(326,1),(339,1),(408,1),(412,1),(413,1),(416,1)}
       370:{2,5,6}:{(322,1),(327,1),(409,1),(413,1)}
       371:{1,3,7}:{(323,1),(324,1),(342,1),(415,1)}
       372:{2,4,7}:{(324,1),(325,1),(343,1),(415,1),(416,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(344,1),(412,1),(416,1),(417,1)}
       374:{1,4,6}:{(326,1),(327,1),(329,1),(413,1),(417,1),(484,1)}
       375:{1,5,6,7}:{(327,1),(330,1),(346,1),(414,1),(418,1),(542,1)}
       376:{3,6}:{(328,1),(329,1)}
       377:{2,4,6,7}:{(329,1),(330,1),(331,1),(348,1),(418,1),(419,1),(485,1)}
       378:{1,2,5}:{(332,1),(336,1),(420,1),(430,1),(490,1),(517,1)}
       379:{2,3,5}:{(332,1),(333,1),(337,1),(420,1),(421,1)}
       380:{3,4}:{(333,1),(421,1)}
       381:{4,5}:{(334,1),(423,1)}
       382:{3,5,6}:{(334,1),(335,1),(340,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(341,1),(424,1),(436,1)}
       384:{1,3,6}:{(336,1),(337,1),(349,1),(410,1),(420,1),(425,1)}
       385:{2,3,4,6}:{(337,1),(338,1),(343,1),(350,1),(411,1),(421,1),(426,1),(427,1),(435,1),(472,1),(482,1),(488,1)}
       386:{3,5}:{(338,1),(339,1)}
       387:{2,4,5,6}:{(339,1),(340,1),(345,1),(352,1),(413,1),(423,1),(428,1),(429,1),(431,1),(474,1),(488,1),(518,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(424,1)}
       389:{1,4,6}:{(342,1),(343,1),(354,1),(415,1),(430,1),(484,1)}
       390:{2,5}:{(343,1),(344,1),(430,1)}
       391:{1,3,5,6}:{(344,1),(345,1),(347,1),(356,1),(417,1),(428,1),(431,1),(432,1)}
       392:{1,4,5,7}:{(345,1),(346,1),(348,1),(357,1),(418,1),(429,1),(432,1),(493,1),(528,1),(542,1)}
       393:{3,5,7}:{(347,1),(348,1),(358,1),(419,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(526,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(430,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(431,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(432,1),(436,1),(438,1),(489,1),(495,1),(528,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(378,1),(439,1),(443,1),(453,1),(505,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(379,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(380,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(381,1),(442,1),(446,1),(460,1)}
       409:{3,5,6}:{(365,1),(370,1),(446,1),(451,1)}
       410:{1,3,7}:{(366,1),(367,1),(384,1),(448,1)}
       411:{2,3,4,7}:{(367,1),(368,1),(372,1),(385,1),(444,1),(449,1),(450,1),(469,1),(512,1)}
       412:{3,5,7}:{(368,1),(369,1),(386,1),(451,1)}
       413:{2,4,6}:{(369,1),(370,1),(374,1),(446,1),(451,1),(454,1)}
       414:{2,5,6,7}:{(370,1),(375,1),(388,1),(447,1),(452,1),(533,1)}
       415:{1,4,7}:{(371,1),(372,1),(389,1),(453,1)}
       416:{2,5,7}:{(372,1),(373,1),(390,1),(453,1),(454,1)}
       417:{1,3,6}:{(373,1),(374,1),(376,1),(451,1),(454,1)}
       418:{1,4,6,7}:{(374,1),(375,1),(377,1),(392,1),(452,1),(455,1),(508,1)}
       419:{3,6,7}:{(376,1),(377,1),(393,1)}
       420:{1,3,5}:{(378,1),(379,1),(384,1),(456,1),(457,1)}
       421:{2,4}:{(379,1),(380,1),(457,1)}
       422:{3,4,5}:{(380,1),(381,1),(386,1),(458,1),(459,1)}
       423:{4,6}:{(381,1),(382,1),(460,1)}
       424:{3,5,7}:{(382,1),(383,1),(388,1),(460,1)}
       425:{2,3,6}:{(384,1),(394,1),(448,1),(456,1),(461,1),(538,1)}
       426:{1,3,4,6}:{(384,1),(385,1),(389,1),(395,1),(449,1),(457,1),(461,1),(462,1),(468,1),(497,1),(506,1),(509,1),(511,1),(530,1),(538,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(458,1),(462,1),(498,1)}
       428:{3,5,6}:{(386,1),(387,1),(397,1),(451,1),(459,1),(464,1)}
       429:{2,4,5,7}:{(387,1),(388,1),(392,1),(398,1),(452,1),(460,1),(464,1),(466,1),(500,1),(512,1),(533,1)}
       430:{1,5}:{(389,1),(390,1)}
       431:{2,5,6}:{(390,1),(391,1),(400,1),(454,1),(465,1),(466,1)}
       432:{1,3,5,7}:{(391,1),(392,1),(393,1),(401,1),(455,1),(464,1),(466,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(538,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(484,1),(524,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(420,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(421,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(422,1),(473,1),(477,1),(478,1),(489,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(424,1),(479,1),(483,1),(519,1)}
       448:{2,3,7}:{(410,1),(425,1),(480,1),(545,1)}
       449:{1,3,4,7}:{(410,1),(411,1),(415,1),(426,1),(476,1),(480,1),(481,1),(495,1),(520,1),(528,1),(545,1)}
       450:{2,3,5,7}:{(411,1),(412,1),(416,1),(427,1),(477,1),(481,1),(482,1)}
       451:{3,6}:{(412,1),(413,1)}
       452:{2,4,6,7}:{(413,1),(414,1),(418,1),(429,1),(479,1),(483,1),(485,1)}
       453:{1,5,7}:{(415,1),(416,1),(430,1),(484,1)}
       454:{2,6}:{(416,1),(417,1),(484,1)}
       455:{1,3,6,7}:{(417,1),(418,1),(419,1),(432,1),(483,1),(485,1)}
       456:{2,3,5}:{(420,1),(425,1),(486,1),(490,1),(526,1)}
       457:{1,4}:{(420,1),(421,1),(486,1)}
       458:{2,4,5}:{(421,1),(422,1),(427,1),(487,1),(488,1)}
       459:{3,4,6}:{(422,1),(423,1),(428,1),(488,1),(489,1)}
       460:{4,7}:{(423,1),(424,1)}
       461:{2,4,6}:{(425,1),(426,1),(433,1),(480,1),(486,1),(490,1),(494,1),(524,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(487,1),(490,1),(517,1),(526,1),(540,1)}
       463:{2,3,5,6}:{(427,1),(428,1),(431,1),(435,1),(482,1),(488,1),(491,1),(492,1),(518,1)}
       464:{3,5,7}:{(428,1),(429,1),(436,1),(483,1),(489,1)}
       465:{1,5,6}:{(430,1),(431,1),(437,1),(484,1),(493,1)}
       466:{2,5,7}:{(431,1),(432,1),(438,1),(485,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(456,1),(496,1),(501,1),(505,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(457,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(458,1),(498,1),(502,1),(503,1),(512,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(451,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(460,1),(500,1)}
       480:{2,4,7}:{(448,1),(449,1),(461,1),(505,1),(515,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(462,1),(502,1),(505,1),(506,1),(534,1)}
       482:{2,3,6}:{(450,1),(451,1),(454,1),(503,1),(506,1)}
       483:{3,6,7}:{(451,1),(452,1),(464,1)}
       484:{1,6}:{(453,1),(454,1)}
       485:{2,6,7}:{(454,1),(455,1),(466,1),(508,1)}
       486:{2,4}:{(456,1),(457,1),(509,1)}
       487:{1,4,5}:{(457,1),(458,1),(462,1),(510,1),(511,1),(546,1)}
       488:{2,4,6}:{(458,1),(459,1),(463,1),(511,1),(512,1)}
       489:{3,4,7}:{(459,1),(460,1),(464,1),(512,1)}
       490:{2,5}:{(461,1),(462,1)}
       491:{1,3,5,6}:{(462,1),(463,1),(465,1),(468,1),(506,1),(511,1),(513,1),(514,1),(532,1),(538,1),(547,1)}
       492:{2,3,5,7}:{(463,1),(464,1),(466,1),(469,1),(507,1),(512,1),(514,1),(533,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(508,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(524,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(486,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(487,1),(517,1),(521,1),(522,1),(528,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(482,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(489,1),(519,1),(523,1)}
       505:{2,5,7}:{(480,1),(481,1),(490,1),(524,1)}
       506:{1,3,6}:{(481,1),(482,1),(484,1),(522,1),(524,1),(543,1)}
       507:{2,3,6,7}:{(482,1),(483,1),(485,1),(492,1),(523,1),(525,1)}
       508:{1,6,7}:{(484,1),(485,1),(493,1)}
       509:{3,4}:{(486,1),(526,1)}
       510:{2,4,5}:{(486,1),(487,1),(490,1),(526,1),(527,1)}
       511:{1,4,6}:{(487,1),(488,1),(491,1),(527,1),(528,1),(550,1)}
       512:{2,4,7}:{(488,1),(489,1),(492,1),(528,1)}
       513:{2,5,6}:{(490,1),(491,1),(494,1),(524,1),(527,1),(529,1)}
       514:{1,3,5,7}:{(491,1),(492,1),(493,1),(495,1),(525,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(509,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(505,1),(510,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(506,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(507,1),(512,1),(533,1),(536,1)}
       524:{2,6}:{(505,1),(506,1)}
       525:{1,3,6,7}:{(506,1),(507,1),(508,1),(514,1),(536,1),(537,1),(549,1)}
       526:{3,5}:{(509,1),(510,1),(538,1)}
       527:{2,4,6}:{(510,1),(511,1),(513,1),(538,1),(539,1)}
       528:{1,4,7}:{(511,1),(512,1),(514,1),(539,1),(552,1)}
       529:{2,5,7}:{(513,1),(514,1),(515,1),(537,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(526,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(524,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(525,1),(528,1),(542,1),(544,1)}
       537:{2,6,7}:{(524,1),(525,1),(529,1)}
       538:{3,6}:{(526,1),(527,1),(545,1)}
       539:{2,4,7}:{(527,1),(528,1),(529,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1267 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1268 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(30,1),(31,1),(69,1),(72,1),(84,1),(86,1),(125,1),(132,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(3,1),(4,1),(17,1),(23,1),(53,1),(59,1),(61,1),(93,1),(102,1),(111,1),(114,1),(162,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(48,1),(92,1),(153,1),(161,1)}
         3:{2,4,6,7}:{(1,1),(9,1),(10,1),(38,1),(39,1),(132,1),(142,1),(145,1)}
         4:{1,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(40,1),(120,1),(131,1),(187,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(13,1),(44,1),(86,1),(88,1)}
         6:{2,4,5,7}:{(2,1),(12,1),(13,1),(14,1),(72,1),(124,1)}
         7:{2,3,5,6,7}:{(5,1),(15,1),(16,1),(48,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(49,1),(53,1),(54,1),(93,1),(148,1),(162,1),(163,1),(164,1),(194,1),(206,1),(229,1),(241,1)}
         9:{2,3,6,7}:{(3,1),(17,1),(20,1),(61,1),(104,1),(169,1),(229,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(161,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(21,1),(23,1),(61,1),(114,1),(116,1)}
        12:{1,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(53,1),(101,1)}
        13:{2,4,6}:{(5,1),(6,1),(23,1),(26,1)}
        14:{3,4,5,7}:{(6,1),(26,1),(48,1),(97,1),(153,1)}
        15:{1,3,5,6,7}:{(7,1),(11,1),(27,1),(28,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(13,1),(28,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(9,1),(31,1),(33,1),(77,1),(134,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(10,1),(33,1),(34,1),(70,1),(120,1),(173,1),(187,1),(223,1),(237,1)}
        19:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(38,1),(80,1),(83,1),(126,1),(132,1),(137,1),(177,1),(184,1),(244,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(33,1),(37,1),(38,1),(40,1),(237,1),(244,1)}
        21:{2,5,6}:{(10,1),(11,1),(39,1),(145,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(38,1),(39,1),(40,1),(82,1)}
        23:{1,4,6}:{(11,1),(12,1),(13,1),(39,1)}
        24:{1,3,4,5,7}:{(12,1),(14,1),(40,1),(42,1),(43,1),(68,1),(76,1),(87,1),(117,1),(131,1),(139,1),(172,1),(190,1),(213,1),(225,1)}
        25:{2,4,5,6}:{(13,1),(29,1),(41,1),(44,1),(88,1),(124,1),(193,1)}
        26:{3,4,6}:{(13,1),(14,1),(44,1)}
        27:{2,5,6,7}:{(15,1),(21,1),(45,1),(92,1),(148,1)}
        28:{1,4,6,7}:{(15,1),(16,1),(23,1),(45,1),(46,1)}
        29:{2,4,5,7}:{(16,1),(25,1),(46,1),(48,1),(92,1),(194,1)}
        30:{3,4,6,7}:{(16,1),(26,1),(48,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(104,1),(148,1),(151,1),(204,1)}
        32:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(53,1),(97,1),(99,1),(102,1),(151,1),(155,1),(162,1),(199,1),(206,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(20,1),(50,1),(52,1),(53,1)}
        34:{1,2,5,6}:{(18,1),(21,1),(52,1),(54,1),(94,1),(116,1),(161,1),(164,1),(171,1),(207,1),(208,1),(231,1)}
        35:{1,2,4,5,7}:{(18,1),(22,1),(53,1),(54,1),(55,1),(65,1),(95,1),(101,1),(103,1),(115,1),(160,1),(161,1),(163,1),(194,1),(200,1),(208,1),(210,1),(232,1),(234,1),(241,1)}
        36:{2,3,5,7}:{(19,1),(51,1),(56,1),(57,1),(109,1),(161,1),(165,1),(205,1)}
        37:{2,3,5,6}:{(20,1),(21,1),(52,1),(58,1),(61,1),(104,1),(109,1),(161,1),(231,1),(233,1),(242,1)}
        38:{2,4,7}:{(20,1),(53,1),(58,1),(59,1)}
        39:{2,4,6}:{(21,1),(22,1),(23,1),(61,1)}
        40:{3,5,7}:{(22,1),(59,1),(61,1),(109,1)}
        41:{1,4,5,6}:{(23,1),(25,1),(46,1),(60,1),(63,1),(101,1),(116,1),(170,1)}
        42:{1,3,4,6}:{(23,1),(24,1),(26,1),(61,1),(63,1),(64,1),(112,1),(114,1),(170,1),(212,1)}
        43:{2,4,5,7}:{(24,1),(62,1),(64,1),(65,1),(92,1),(103,1),(115,1),(146,1),(161,1),(166,1),(194,1),(210,1)}
        44:{3,5,6}:{(25,1),(26,1),(48,1),(153,1),(212,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(39,1),(66,1),(67,1)}
        46:{1,4,5,7}:{(28,1),(29,1),(41,1),(66,1),(68,1),(120,1),(172,1)}
        47:{1,3,4,6,7}:{(28,1),(30,1),(42,1),(67,1),(68,1),(69,1),(117,1),(119,1),(172,1),(213,1)}
        48:{3,5,7}:{(29,1),(30,1),(44,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(70,1),(72,1),(122,1),(132,1),(182,1),(219,1)}
        50:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(123,1),(173,1),(213,1)}
        51:{1,3,5,7}:{(32,1),(36,1),(70,1),(73,1),(74,1),(123,1),(131,1),(187,1),(223,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(37,1),(71,1),(75,1),(77,1),(131,1),(134,1),(187,1),(224,1)}
        53:{1,4,7}:{(33,1),(38,1),(72,1),(75,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(39,1),(75,1),(77,1),(89,1),(122,1),(132,1),(145,1),(186,1),(193,1),(219,1),(238,1)}
        55:{1,3,5,7}:{(35,1),(40,1),(76,1),(77,1),(78,1),(123,1),(131,1),(189,1),(213,1),(224,1),(225,1),(239,1),(244,1)}
        56:{2,3,5,6}:{(36,1),(73,1),(80,1),(138,1),(177,1),(185,1)}
        57:{2,4,5,7}:{(36,1),(38,1),(74,1),(80,1),(81,1),(82,1)}
        58:{2,4,6}:{(37,1),(38,1),(75,1),(82,1),(83,1),(240,1)}
        59:{3,4,7}:{(38,1),(40,1),(83,1),(244,1)}
        60:{2,4,5,6}:{(39,1),(41,1),(66,1),(82,1),(85,1),(88,1),(143,1)}
        61:{3,6}:{(39,1),(40,1)}
        62:{2,3,5,7}:{(40,1),(43,1),(84,1),(86,1),(87,1),(140,1),(213,1),(225,1)}
        63:{1,3,5,6}:{(41,1),(42,1),(44,1),(68,1),(85,1),(88,1),(131,1)}
        64:{2,4,6}:{(42,1),(43,1),(86,1),(88,1),(89,1),(145,1)}
        65:{1,4,5,7}:{(43,1),(87,1),(89,1),(120,1),(133,1),(172,1),(187,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(60,1),(90,1),(92,1),(146,1)}
        67:{3,6,7}:{(45,1),(61,1),(90,1)}
        68:{1,3,5,7}:{(46,1),(47,1),(48,1),(63,1),(90,1),(92,1)}
        69:{2,4,6,7}:{(47,1),(64,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,5,7}:{(49,1),(51,1),(94,1),(161,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(94,1),(96,1),(104,1),(151,1),(153,1),(161,1),(171,1),(211,1),(212,1)}
        72:{2,4,7}:{(50,1),(53,1),(96,1),(97,1)}
        73:{1,3,5,6}:{(51,1),(56,1),(94,1),(99,1),(151,1),(199,1),(207,1)}
        74:{1,4,5,7}:{(51,1),(53,1),(57,1),(95,1),(99,1),(101,1)}
        75:{1,4,6}:{(52,1),(53,1),(58,1),(96,1),(101,1),(234,1)}
        76:{1,3,4,7}:{(53,1),(55,1),(59,1),(97,1),(102,1),(103,1),(234,1),(235,1),(243,1)}
        77:{1,3,6}:{(54,1),(55,1),(61,1),(104,1),(151,1),(212,1),(242,1)}
        78:{2,3,5,7}:{(55,1),(103,1),(104,1),(105,1),(115,1),(161,1),(169,1),(200,1),(204,1),(211,1),(233,1)}
        79:{2,3,5,6,7}:{(56,1),(98,1),(106,1),(165,1),(196,1),(205,1)}
        80:{2,4,6}:{(56,1),(57,1),(99,1),(108,1)}
        81:{3,4,5,7}:{(57,1),(59,1),(108,1),(109,1),(165,1)}
        82:{2,4,5}:{(58,1),(101,1),(109,1),(161,1)}
        83:{3,4,6}:{(58,1),(59,1),(61,1),(109,1),(242,1),(243,1)}
        84:{2,3,4,7}:{(59,1),(62,1),(103,1),(110,1),(111,1),(146,1),(204,1),(235,1)}
        85:{3,5,6}:{(60,1),(61,1),(90,1),(109,1),(112,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(114,1),(212,1)}
        87:{1,3,5,7}:{(62,1),(65,1),(111,1),(114,1),(115,1),(167,1)}
        88:{2,5,6}:{(63,1),(64,1),(92,1),(116,1),(161,1)}
        89:{1,4,6}:{(64,1),(65,1),(114,1),(116,1)}
        90:{3,5,7}:{(66,1),(67,1),(85,1),(117,1)}
        91:{2,3,6,7}:{(67,1),(69,1),(86,1),(118,1),(119,1),(213,1)}
        92:{2,5,7}:{(68,1),(69,1),(88,1),(120,1)}
        93:{1,4,6,7}:{(69,1),(89,1),(119,1),(120,1),(172,1)}
        94:{2,5,6}:{(70,1),(73,1),(122,1),(219,1)}
        95:{2,4,5,7}:{(70,1),(72,1),(74,1),(122,1),(123,1),(124,1)}
        96:{2,4,6}:{(71,1),(72,1),(75,1),(124,1),(125,1),(226,1)}
        97:{3,4,7}:{(72,1),(123,1),(125,1),(213,1)}
        98:{1,3,5,6,7}:{(73,1),(79,1),(121,1),(127,1),(175,1),(183,1),(216,1),(223,1)}
        99:{1,4,6}:{(73,1),(74,1),(80,1),(122,1)}
       100:{1,3,4,5,7}:{(74,1),(76,1),(81,1),(123,1),(129,1),(130,1),(131,1),(178,1),(179,1),(183,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       101:{1,4,5}:{(75,1),(82,1),(124,1),(131,1),(187,1)}
       102:{1,3,4,6}:{(75,1),(76,1),(77,1),(83,1),(125,1),(131,1),(132,1)}
       103:{2,4,7}:{(76,1),(78,1),(132,1),(133,1),(226,1),(240,1)}
       104:{2,3,6}:{(77,1),(78,1),(132,1),(134,1),(145,1),(219,1)}
       105:{1,3,5,7}:{(78,1),(133,1),(134,1),(135,1),(187,1),(189,1),(224,1)}
       106:{2,4,6,7}:{(79,1),(80,1),(127,1),(136,1),(137,1)}
       107:{2,4,5,6}:{(80,1),(82,1),(128,1),(136,1),(138,1),(185,1),(238,1)}
       108:{3,4,6}:{(80,1),(81,1),(138,1)}
       109:{3,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(86,1),(132,1),(140,1),(141,1),(143,1),(222,1),(240,1)}
       111:{1,3,4,7}:{(84,1),(87,1),(133,1),(141,1),(142,1),(172,1),(189,1),(213,1)}
       112:{3,4,6}:{(85,1),(117,1),(139,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(118,1),(140,1),(143,1),(144,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(145,1)}
       115:{2,5,7}:{(87,1),(142,1),(145,1),(191,1)}
       116:{1,5,6}:{(88,1),(89,1),(120,1),(187,1)}
       117:{3,4,7}:{(90,1),(112,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(113,1),(146,1),(147,1)}
       119:{1,3,6,7}:{(91,1),(93,1),(114,1),(147,1),(148,1)}
       120:{1,5,7}:{(92,1),(93,1),(116,1)}
       121:{2,5,6,7}:{(94,1),(98,1),(149,1),(205,1),(229,1)}
       122:{2,4,6}:{(94,1),(95,1),(99,1),(151,1)}
       123:{3,5,7}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5}:{(96,1),(101,1),(153,1),(161,1)}
       125:{3,4,6}:{(96,1),(97,1),(151,1),(153,1),(212,1),(235,1)}
       126:{2,3,4,7}:{(97,1),(103,1),(152,1),(154,1),(155,1),(169,1),(227,1),(243,1)}
       127:{1,4,6,7}:{(98,1),(99,1),(106,1),(149,1),(156,1)}
       128:{1,4,5,6}:{(99,1),(101,1),(107,1),(150,1),(156,1),(158,1),(207,1),(230,1)}
       129:{1,3,4,6}:{(99,1),(100,1),(108,1),(151,1),(158,1),(159,1),(197,1),(199,1),(230,1),(242,1)}
       130:{2,4,5,7}:{(100,1),(103,1),(152,1),(159,1),(160,1),(161,1),(200,1),(201,1),(205,1),(227,1),(232,1),(241,1)}
       131:{1,3,5}:{(101,1),(102,1),(109,1),(153,1),(161,1)}
       132:{2,4,6}:{(102,1),(103,1),(104,1),(161,1),(162,1)}
       133:{1,4,7}:{(103,1),(105,1),(162,1),(234,1)}
       134:{1,3,6}:{(104,1),(105,1),(162,1),(164,1)}
       135:{1,2,5,7}:{(105,1),(115,1),(163,1),(164,1),(200,1),(208,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(156,1),(165,1),(205,1),(241,1)}
       137:{3,4,6,7}:{(106,1),(108,1),(165,1)}
       138:{3,5,6}:{(107,1),(108,1),(109,1),(165,1),(242,1)}
       139:{3,4,5}:{(109,1),(112,1),(166,1),(243,1)}
       140:{2,3,5}:{(109,1),(110,1),(161,1),(166,1),(167,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(114,1),(162,1),(167,1),(168,1),(170,1),(209,1),(212,1),(234,1),(235,1)}
       142:{2,4,7}:{(111,1),(115,1),(168,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(146,1),(166,1),(170,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(147,1),(167,1),(170,1),(171,1),(212,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,4,7}:{(117,1),(118,1),(143,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(144,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(119,1),(145,1),(173,1)}
       149:{2,4,6,7}:{(121,1),(122,1),(127,1),(174,1),(175,1)}
       150:{2,4,5,6}:{(122,1),(124,1),(128,1),(174,1),(176,1),(185,1),(217,1)}
       151:{3,6}:{(122,1),(123,1)}
       152:{2,3,5,7}:{(123,1),(126,1),(130,1),(177,1),(178,1),(180,1),(239,1),(244,1)}
       153:{3,5}:{(124,1),(125,1)}
       154:{2,3,4,6}:{(125,1),(126,1),(132,1),(177,1),(180,1),(181,1),(192,1),(217,1),(226,1)}
       155:{1,3,4,7}:{(126,1),(133,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(128,1),(136,1),(174,1),(183,1),(223,1),(236,1)}
       157:{1,3,4,6,7}:{(127,1),(129,1),(137,1),(175,1),(183,1),(184,1),(214,1),(216,1),(236,1),(244,1)}
       158:{1,3,5,6}:{(128,1),(129,1),(131,1),(138,1),(176,1),(183,1),(185,1)}
       159:{2,4,6}:{(129,1),(130,1),(177,1),(185,1),(186,1),(219,1)}
       160:{1,4,5,7}:{(130,1),(133,1),(178,1),(186,1),(187,1),(220,1),(223,1),(236,1)}
       161:{2,5}:{(131,1),(132,1),(187,1)}
       162:{1,4,6}:{(132,1),(133,1),(134,1),(187,1)}
       163:{1,2,4,7}:{(133,1),(135,1),(142,1),(182,1),(188,1),(189,1)}
       164:{1,2,6}:{(134,1),(135,1),(145,1),(219,1)}
       165:{3,5,7}:{(136,1),(137,1),(138,1),(244,1)}
       166:{2,4,5}:{(139,1),(140,1),(143,1),(190,1),(240,1)}
       167:{1,3,5}:{(140,1),(141,1),(187,1),(190,1),(191,1),(225,1)}
       168:{2,4,6}:{(141,1),(142,1),(145,1),(191,1),(192,1),(226,1)}
       169:{2,3,7}:{(142,1),(189,1),(192,1),(213,1)}
       170:{1,4,6}:{(143,1),(144,1),(172,1),(190,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(173,1),(191,1),(193,1)}
       172:{1,4,7}:{(146,1),(147,1),(170,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(171,1),(194,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(156,1),(195,1),(205,1),(227,1)}
       175:{3,6,7}:{(149,1),(151,1),(195,1)}
       176:{3,5,6}:{(150,1),(151,1),(153,1),(195,1),(197,1)}
       177:{2,3,6}:{(151,1),(152,1),(159,1),(199,1),(242,1)}
       178:{1,3,5,7}:{(152,1),(155,1),(160,1),(199,1),(200,1),(202,1)}
       179:{3,4,5}:{(153,1),(197,1),(201,1),(235,1)}
       180:{2,3,5}:{(153,1),(154,1),(161,1),(201,1),(202,1)}
       181:{1,3,4,6}:{(154,1),(155,1),(162,1),(199,1),(202,1),(203,1),(209,1),(230,1),(234,1),(242,1),(243,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(165,1),(195,1),(205,1)}
       184:{2,4,6,7}:{(157,1),(159,1),(196,1),(205,1),(206,1),(227,1),(229,1),(241,1)}
       185:{2,5,6}:{(158,1),(159,1),(161,1),(205,1),(207,1)}
       186:{1,4,6}:{(159,1),(160,1),(199,1),(207,1)}
       187:{1,5}:{(161,1),(162,1)}
       188:{1,2,4,6}:{(162,1),(163,1),(164,1),(168,1),(203,1),(208,1),(209,1),(234,1)}
       189:{1,3,7}:{(163,1),(169,1),(204,1),(209,1)}
       190:{1,4,5}:{(166,1),(167,1),(170,1),(210,1),(234,1)}
       191:{2,5}:{(167,1),(168,1)}
       192:{2,3,6}:{(168,1),(169,1),(209,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(194,1),(210,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(193,1),(213,1)}
       195:{3,5,7}:{(174,1),(175,1),(176,1),(214,1)}
       196:{2,3,6,7}:{(175,1),(177,1),(184,1),(215,1),(216,1),(244,1)}
       197:{3,4,6}:{(176,1),(179,1),(214,1),(217,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(185,1),(215,1),(217,1),(218,1)}
       199:{1,3,6}:{(177,1),(178,1),(186,1),(219,1)}
       200:{2,5,7}:{(178,1),(182,1),(219,1),(221,1)}
       201:{2,4,5}:{(179,1),(180,1),(217,1),(220,1),(226,1)}
       202:{1,3,5}:{(180,1),(181,1),(187,1),(220,1),(221,1),(239,1)}
       203:{2,4,6}:{(181,1),(182,1),(219,1),(221,1),(222,1),(240,1)}
       204:{2,3,7}:{(182,1),(189,1),(222,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(185,1),(223,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(216,1),(223,1),(236,1)}
       207:{1,5,6}:{(185,1),(186,1),(187,1),(223,1)}
       208:{1,2,5}:{(187,1),(188,1),(191,1),(221,1),(224,1)}
       209:{1,3,6}:{(188,1),(189,1),(192,1),(222,1),(224,1)}
       210:{2,4,5}:{(190,1),(191,1),(193,1),(225,1),(226,1)}
       211:{2,3,5}:{(191,1),(192,1),(224,1),(225,1),(226,1)}
       212:{3,6}:{(193,1),(213,1),(225,1)}
       213:{3,7}:{(194,1),(212,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,3,5,7}:{(195,1),(196,1),(198,1),(205,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(196,1),(199,1),(206,1),(228,1),(229,1)}
       217:{2,4,6}:{(197,1),(198,1),(201,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(199,1),(200,1)}
       220:{1,4,5}:{(201,1),(202,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(202,1),(203,1)}
       222:{2,3,6}:{(203,1),(204,1),(209,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(207,1)}
       224:{1,3,5}:{(208,1),(209,1),(211,1),(233,1),(234,1)}
       225:{3,5}:{(210,1),(212,1),(235,1)}
       226:{2,4}:{(211,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1269 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1270 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1271 :   0:{1,2,5,6,7}:{(2,1),(3,1),(38,1),(44,1),(76,1),(79,1),(88,1),(113,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(38,1),(46,1),(113,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(23,1),(28,1),(57,1),(66,1),(92,1),(101,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(24,1),(97,1),(108,1),(131,1),(135,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(38,1),(71,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(11,1),(12,1),(87,1),(112,1),(121,1)}
         7:{1,2,4,5,7}:{(3,1),(12,1),(14,1),(15,1),(38,1),(42,1),(78,1),(79,1),(89,1),(114,1),(119,1),(121,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(116,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(12,1),(17,1),(18,1),(38,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(150,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,4,5,7}:{(6,1),(9,1),(20,1),(22,1),(23,1),(57,1)}
        13:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(21,1),(23,1),(24,1),(26,1),(54,1)}
        14:{1,2,4,5,6}:{(7,1),(22,1),(25,1),(55,1),(60,1),(97,1),(98,1),(103,1),(108,1),(131,1),(135,1),(137,1),(141,1),(143,1),(147,1),(163,1),(174,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(110,1),(133,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(96,1),(135,1)}
        17:{2,4,5,6}:{(9,1),(22,1),(29,1),(55,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(24,1),(31,1),(32,1),(62,1),(65,1),(95,1),(96,1),(134,1),(162,1),(165,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(33,1),(34,1),(38,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(130,1)}
        22:{1,4,5,6}:{(12,1),(17,1),(33,1),(36,1),(76,1),(87,1),(112,1),(154,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(18,1),(34,1),(36,1),(38,1)}
        24:{2,4,6,7}:{(13,1),(16,1),(38,1),(39,1),(42,1),(75,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(40,1),(41,1),(116,1),(122,1),(128,1),(148,1),(160,1),(161,1),(170,1)}
        26:{1,3,4,7}:{(15,1),(40,1),(42,1),(121,1),(130,1),(150,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(43,1),(119,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(39,1),(43,1),(44,1),(116,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(150,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(38,1),(46,1),(47,1),(48,1),(170,1),(172,1)}
        32:{1,3,4,6,7}:{(19,1),(39,1),(48,1),(49,1),(80,1),(85,1),(87,1),(116,1),(121,1),(128,1),(130,1),(153,1),(171,1)}
        33:{2,4,5,6}:{(20,1),(22,1),(50,1),(55,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(50,1)}
        35:{2,3,4,6,7}:{(21,1),(24,1),(52,1),(53,1),(62,1),(69,1),(91,1),(96,1),(111,1),(146,1),(165,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(29,1),(50,1),(54,1),(55,1),(166,1)}
        37:{1,3,4,5,7}:{(23,1),(26,1),(30,1),(51,1),(54,1),(56,1),(59,1),(67,1),(93,1),(99,1),(110,1),(133,1),(140,1),(166,1)}
        38:{2,5,7}:{(23,1),(24,1),(55,1),(57,1)}
        39:{1,4,6,7}:{(24,1),(28,1),(57,1),(63,1),(97,1)}
        40:{1,3,4,6}:{(25,1),(26,1),(59,1),(60,1),(137,1),(146,1),(162,1)}
        41:{2,3,5,6}:{(25,1),(27,1),(55,1),(60,1),(61,1),(96,1),(102,1),(135,1),(141,1),(144,1)}
        42:{2,4,7}:{(26,1),(27,1),(60,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(57,1),(61,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(135,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(55,1),(65,1),(66,1),(96,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(134,1),(163,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(57,1),(66,1),(67,1),(68,1),(110,1),(166,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(135,1),(165,1)}
        50:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        51:{3,4,5,7}:{(34,1),(70,1),(72,1),(130,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(38,1),(71,1),(72,1),(73,1),(161,1),(172,1)}
        53:{1,3,4,6,7}:{(35,1),(39,1),(73,1),(74,1),(80,1),(85,1),(112,1),(116,1),(121,1),(148,1),(150,1),(153,1),(171,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(45,1),(70,1),(75,1),(87,1),(112,1),(116,1),(128,1),(148,1)}
        55:{2,5,6}:{(36,1),(38,1),(75,1),(76,1),(172,1)}
        56:{2,4,5,7}:{(37,1),(38,1),(42,1),(75,1),(77,1),(78,1),(81,1),(119,1),(156,1),(172,1)}
        57:{1,5,7}:{(38,1),(39,1),(76,1)}
        58:{1,2,4,6,7}:{(39,1),(44,1),(49,1),(74,1),(79,1),(80,1),(86,1),(117,1),(121,1),(126,1),(151,1),(171,1)}
        59:{1,3,4,5}:{(40,1),(81,1),(122,1),(154,1),(159,1),(161,1),(170,1)}
        60:{2,4,6}:{(40,1),(41,1),(42,1),(81,1),(83,1)}
        61:{1,3,5,6}:{(41,1),(43,1),(76,1),(83,1),(84,1),(116,1),(122,1),(125,1)}
        62:{2,3,4,7}:{(42,1),(77,1),(82,1),(85,1),(127,1),(130,1),(150,1),(156,1)}
        63:{1,4,7}:{(42,1),(43,1),(83,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(86,1),(119,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(76,1),(87,1),(88,1),(116,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(121,1),(154,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(172,1)}
        69:{2,3,6,7}:{(49,1),(80,1),(90,1),(127,1),(128,1),(152,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(91,1),(92,1),(96,1)}
        72:{2,4,5,7}:{(51,1),(52,1),(91,1),(93,1),(111,1),(147,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(57,1),(92,1),(93,1),(94,1),(133,1),(166,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(106,1),(131,1),(134,1),(135,1),(165,1)}
        75:{2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1),(135,1)}
        76:{1,5,6}:{(55,1),(57,1),(97,1),(174,1)}
        77:{2,3,5,7}:{(56,1),(62,1),(96,1),(99,1),(102,1),(110,1),(133,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(63,1),(97,1),(99,1),(103,1),(167,1),(174,1)}
        79:{1,2,5,7}:{(57,1),(58,1),(68,1),(94,1),(98,1),(101,1),(174,1)}
        80:{1,3,6,7}:{(58,1),(69,1),(95,1),(101,1),(107,1),(136,1),(145,1),(164,1)}
        81:{2,4,5}:{(59,1),(60,1),(102,1),(103,1),(141,1),(169,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(96,1),(102,1),(104,1),(144,1),(146,1),(162,1),(165,1),(169,1)}
        83:{1,4,6}:{(60,1),(61,1),(63,1),(103,1)}
        84:{1,2,5,6}:{(61,1),(64,1),(105,1),(135,1),(141,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(99,1),(104,1),(106,1),(107,1),(145,1),(167,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(135,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(101,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,3,5,6}:{(71,1),(73,1),(76,1),(112,1),(113,1),(116,1),(148,1)}
        93:{1,4,5,7}:{(72,1),(73,1),(112,1),(114,1),(121,1),(154,1)}
        94:{2,5,7}:{(73,1),(74,1),(113,1),(172,1)}
        95:{2,3,6,7}:{(74,1),(80,1),(115,1),(127,1),(148,1),(152,1)}
        96:{2,3,6}:{(75,1),(77,1),(116,1),(128,1),(148,1)}
        97:{1,4,6}:{(75,1),(76,1),(78,1),(116,1)}
        98:{1,2,5,6}:{(76,1),(79,1),(88,1),(113,1),(117,1),(118,1),(151,1),(172,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(85,1),(116,1),(119,1),(122,1)}
       100:{1,2,4,5,7}:{(78,1),(79,1),(86,1),(89,1),(114,1),(117,1),(119,1),(120,1),(121,1),(123,1),(154,1),(156,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(90,1),(115,1),(118,1),(121,1)}
       102:{2,3,5}:{(81,1),(82,1),(122,1),(161,1),(170,1),(172,1)}
       103:{1,4,5}:{(81,1),(83,1),(122,1),(173,1)}
       104:{1,3,4,6}:{(82,1),(83,1),(85,1),(116,1),(122,1),(124,1),(125,1),(159,1),(160,1),(171,1),(173,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(86,1),(123,1),(124,1),(125,1)}
       106:{2,4,7}:{(85,1),(119,1),(124,1),(127,1)}
       107:{1,3,7}:{(86,1),(125,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(118,1),(128,1),(129,1),(152,1),(161,1),(172,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(121,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,5,6}:{(92,1),(94,1),(131,1),(135,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(131,1),(133,1),(134,1),(163,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(101,1),(132,1),(133,1),(134,1)}
       116:{1,3,6}:{(96,1),(97,1),(99,1),(135,1)}
       117:{1,2,4,6}:{(97,1),(98,1),(100,1),(108,1),(131,1),(135,1),(136,1),(137,1),(165,1)}
       118:{1,3,5,6}:{(98,1),(101,1),(109,1),(132,1),(136,1),(137,1),(164,1),(166,1),(174,1)}
       119:{2,5,7}:{(99,1),(106,1),(135,1),(141,1)}
       120:{1,3,5,7}:{(100,1),(107,1),(110,1),(133,1),(136,1),(139,1),(140,1),(142,1),(166,1)}
       121:{1,4,7}:{(101,1),(111,1),(134,1),(137,1)}
       122:{1,3,5}:{(102,1),(103,1),(104,1),(141,1),(174,1)}
       123:{1,2,4,5}:{(103,1),(105,1),(141,1),(142,1),(169,1)}
       124:{2,4,6}:{(104,1),(106,1),(135,1),(141,1),(144,1),(169,1)}
       125:{1,3,6}:{(105,1),(107,1),(142,1),(144,1)}
       126:{1,2,4,7}:{(106,1),(138,1),(143,1),(145,1),(167,1)}
       127:{2,3,7}:{(106,1),(107,1),(144,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(137,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{2,3,5,6}:{(113,1),(115,1),(118,1),(148,1),(149,1),(152,1),(170,1),(172,1)}
       133:{3,5,7}:{(114,1),(148,1),(150,1),(170,1)}
       134:{2,4,7}:{(115,1),(121,1),(149,1),(150,1)}
       135:{2,6}:{(116,1),(119,1)}
       136:{1,3,6}:{(117,1),(120,1),(128,1),(148,1),(152,1)}
       137:{1,4,6}:{(118,1),(121,1),(129,1),(149,1),(154,1)}
       138:{1,2,5,7}:{(119,1),(126,1),(151,1),(155,1),(157,1)}
       139:{2,3,5,7}:{(119,1),(120,1),(127,1),(152,1),(155,1),(156,1),(158,1),(172,1)}
       140:{1,3,4,7}:{(120,1),(121,1),(130,1),(150,1),(153,1),(156,1),(159,1)}
       141:{2,5}:{(122,1),(124,1)}
       142:{1,3,5}:{(123,1),(125,1),(158,1),(159,1)}
       143:{1,2,4,6}:{(124,1),(126,1),(151,1),(157,1),(160,1),(171,1),(173,1)}
       144:{2,3,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(154,1),(161,1),(172,1)}
       148:{3,6}:{(131,1),(133,1)}
       149:{2,4,6}:{(132,1),(134,1),(137,1),(162,1),(163,1)}
       150:{3,4,7}:{(133,1),(134,1),(162,1)}
       151:{1,2,6}:{(135,1),(138,1),(164,1)}
       152:{2,3,6}:{(135,1),(136,1),(139,1),(164,1),(165,1)}
       153:{1,3,4,6}:{(136,1),(137,1),(140,1),(146,1),(162,1),(165,1),(166,1)}
       154:{1,4,5}:{(137,1),(147,1),(163,1),(166,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(145,1),(164,1),(167,1),(168,1),(174,1)}
       156:{2,4,7}:{(139,1),(140,1),(165,1),(167,1),(169,1)}
       157:{1,2,5}:{(141,1),(143,1),(168,1),(174,1)}
       158:{2,3,5}:{(141,1),(142,1),(144,1),(168,1),(169,1)}
       159:{1,3,4}:{(142,1),(169,1)}
       160:{1,3,6}:{(143,1),(144,1),(145,1),(168,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(149,1),(154,1),(170,1),(172,1)}
       164:{1,3,6}:{(151,1),(152,1),(155,1),(171,1)}
       165:{2,4,6}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       166:{1,3,5}:{(153,1),(154,1),(161,1),(170,1),(172,1)}
       167:{1,4,7}:{(155,1),(156,1),(171,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(160,1),(173,1)}
       169:{2,4}:{(158,1),(159,1),(173,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,5}:{(165,1),(166,1),(174,1)}
       173:{1,4}:{(168,1),(169,1)}
       174:{1,5}:{(171,1),(172,1)}

1272 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1273 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1274 :   0:{1,2,6,7}:{(4,1),(5,1),(160,1),(248,1),(249,1),(262,1),(313,1)}
         1:{1,2,5,6}:{(5,1),(6,1),(7,1),(84,1),(86,1),(160,1),(164,1),(165,1),(180,1),(238,1),(249,1)}
         2:{2,3,6,7}:{(4,1),(8,1),(9,1),(93,1),(160,1),(313,1),(314,1),(368,1)}
         3:{2,3,5,6}:{(6,1),(9,1),(10,1),(33,1),(35,1),(39,1),(84,1),(93,1),(160,1),(238,1),(239,1),(311,1),(314,1),(367,1),(373,1)}
         4:{1,3,6,7}:{(0,1),(2,1),(11,1),(14,1),(15,1),(117,1),(205,1),(290,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(15,1),(16,1),(118,1),(120,1),(208,1),(222,1),(278,1)}
         6:{1,3,5,6}:{(1,1),(3,1),(12,1),(15,1),(17,1),(18,1),(48,1),(53,1),(55,1),(117,1),(123,1),(205,1),(210,1),(290,1),(357,1)}
         7:{1,2,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(54,1),(201,1),(217,1),(273,1),(284,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(21,1),(60,1),(346,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(15,1),(20,1),(21,1),(51,1),(61,1),(118,1),(278,1),(343,1),(387,1)}
        10:{2,4,6}:{(3,1),(17,1),(21,1),(22,1),(23,1),(280,1),(388,1)}
        11:{2,3,6,7}:{(4,1),(24,1),(25,1),(146,1),(160,1),(262,1),(263,1),(331,1)}
        12:{2,3,5,6}:{(6,1),(25,1),(26,1),(33,1),(68,1),(72,1),(84,1),(146,1),(160,1),(180,1),(181,1),(260,1),(263,1),(330,1),(336,1)}
        13:{1,2,4,5}:{(7,1),(27,1),(31,1),(75,1),(84,1),(157,1),(165,1),(174,1),(232,1),(240,1),(243,1),(253,1)}
        14:{1,4,6,7}:{(4,1),(8,1),(24,1),(28,1),(29,1),(78,1),(326,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(25,1),(28,1),(29,1),(30,1),(81,1),(161,1)}
        16:{1,2,4,7}:{(5,1),(7,1),(29,1),(30,1),(80,1),(245,1),(259,1),(310,1),(320,1)}
        17:{1,4,6}:{(6,1),(10,1),(26,1),(29,1),(31,1),(253,1)}
        18:{1,3,6}:{(7,1),(27,1),(30,1),(33,1),(260,1),(311,1)}
        19:{3,4,6,7}:{(8,1),(34,1),(37,1),(88,1),(93,1),(368,1),(369,1),(401,1)}
        20:{2,5,7}:{(8,1),(28,1),(34,1),(35,1),(373,1)}
        21:{2,4,7}:{(9,1),(10,1),(29,1),(37,1),(401,1)}
        22:{2,4,5}:{(10,1),(31,1),(39,1),(84,1),(373,1),(402,1)}
        23:{3,4,6}:{(10,1),(37,1),(39,1),(93,1),(311,1),(312,1)}
        24:{2,4,6,7}:{(11,1),(14,1),(41,1),(42,1),(43,1),(104,1),(302,1)}
        25:{2,3,5,7}:{(11,1),(12,1),(15,1),(42,1),(43,1),(51,1),(105,1),(118,1),(222,1),(299,1),(359,1)}
        26:{2,4,6}:{(12,1),(17,1),(43,1),(44,1),(45,1),(224,1),(360,1)}
        27:{1,3,5}:{(13,1),(18,1),(46,1),(47,1),(218,1),(274,1),(282,1)}
        28:{1,5,7}:{(14,1),(20,1),(42,1),(48,1),(357,1)}
        29:{1,4,7}:{(15,1),(17,1),(21,1),(43,1)}
        30:{1,3,7}:{(16,1),(18,1),(51,1),(299,1),(343,1)}
        31:{1,4,5}:{(17,1),(22,1),(44,1),(53,1),(123,1),(357,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(23,1),(45,1),(46,1),(50,1),(53,1),(54,1),(117,1)}
        33:{2,3,6}:{(18,1),(47,1),(51,1),(54,1),(55,1),(284,1)}
        34:{3,5,7}:{(19,1),(20,1),(56,1),(57,1),(390,1)}
        35:{2,5,6}:{(20,1),(48,1),(56,1),(60,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(22,1),(49,1),(57,1),(60,1),(61,1),(118,1)}
        37:{3,4,7}:{(21,1),(23,1),(61,1),(343,1)}
        38:{2,4,5,6}:{(22,1),(52,1),(60,1),(63,1),(64,1),(122,1),(125,1),(130,1),(212,1),(273,1),(339,1),(348,1),(388,1),(393,1)}
        39:{3,5}:{(22,1),(23,1)}
        40:{2,3,4,6}:{(23,1),(54,1),(62,1),(65,1),(66,1),(111,1),(130,1),(133,1),(196,1),(197,1),(280,1),(344,1),(346,1),(353,1)}
        41:{3,4,6,7}:{(24,1),(67,1),(70,1),(141,1),(146,1),(331,1),(332,1),(382,1)}
        42:{2,5,7}:{(24,1),(28,1),(67,1),(68,1),(336,1)}
        43:{2,4,7}:{(25,1),(26,1),(29,1),(70,1),(382,1)}
        44:{2,4,5}:{(26,1),(31,1),(72,1),(84,1),(336,1),(383,1)}
        45:{3,4,6}:{(26,1),(70,1),(72,1),(146,1),(260,1),(261,1)}
        46:{1,3,4}:{(27,1),(75,1),(253,1),(261,1),(312,1)}
        47:{2,3,5}:{(27,1),(33,1),(75,1),(76,1),(84,1),(243,1),(244,1)}
        48:{1,5,6}:{(28,1),(35,1),(68,1),(78,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(36,1),(69,1),(78,1),(79,1),(161,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(32,1),(37,1),(70,1),(79,1),(80,1)}
        51:{2,3,7}:{(30,1),(33,1),(80,1),(81,1),(320,1)}
        52:{1,4,5,6}:{(31,1),(38,1),(71,1),(78,1),(82,1),(83,1),(164,1),(173,1),(231,1),(255,1),(306,1),(328,1),(381,1)}
        53:{1,3,5}:{(31,1),(32,1),(39,1),(72,1),(84,1)}
        54:{2,4,6}:{(32,1),(33,1),(75,1),(80,1),(84,1),(85,1),(160,1)}
        55:{1,3,6}:{(33,1),(76,1),(81,1),(85,1),(86,1)}
        56:{3,5,6}:{(34,1),(35,1),(88,1),(93,1)}
        57:{4,5,7}:{(34,1),(88,1),(401,1),(402,1)}
        58:{3,4,5}:{(39,1),(90,1),(91,1),(312,1),(371,1),(402,1)}
        59:{2,5,6,7}:{(35,1),(77,1),(87,1),(92,1),(254,1),(366,1),(405,1)}
        60:{2,4,6}:{(35,1),(36,1),(78,1),(88,1),(93,1),(160,1)}
        61:{3,5,7}:{(36,1),(37,1),(39,1),(93,1)}
        62:{2,3,4,7}:{(37,1),(40,1),(80,1),(94,1),(95,1),(172,1),(236,1),(241,1),(315,1),(370,1),(377,1)}
        63:{2,4,5,7}:{(38,1),(82,1),(92,1),(96,1),(163,1),(167,1),(172,1),(254,1),(310,1),(366,1),(401,1)}
        64:{3,5,6}:{(38,1),(39,1),(90,1),(93,1),(96,1),(311,1),(371,1),(404,1)}
        65:{2,3,5}:{(39,1),(40,1),(84,1),(91,1),(98,1),(371,1),(373,1),(378,1)}
        66:{1,3,4,6}:{(40,1),(85,1),(95,1),(98,1),(99,1),(154,1),(166,1),(173,1),(176,1),(242,1),(253,1),(260,1),(261,1),(326,1),(332,1),(376,1)}
        67:{3,5,7}:{(41,1),(42,1),(100,1),(101,1),(362,1)}
        68:{2,5,6}:{(42,1),(48,1),(100,1),(104,1)}
        69:{2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(101,1),(104,1),(105,1),(118,1)}
        70:{3,4,7}:{(43,1),(45,1),(105,1),(299,1)}
        71:{2,4,5,6}:{(44,1),(52,1),(104,1),(107,1),(108,1),(122,1),(182,1),(187,1),(217,1),(268,1),(295,1),(304,1),(360,1),(365,1)}
        72:{3,5}:{(44,1),(45,1)}
        73:{2,3,4,6}:{(45,1),(54,1),(106,1),(109,1),(110,1),(111,1),(139,1),(187,1),(190,1),(197,1),(224,1),(300,1),(302,1),(353,1)}
        74:{1,3,4,5}:{(46,1),(53,1),(58,1),(102,1),(112,1),(113,1),(131,1),(188,1),(198,1),(218,1),(274,1),(288,1),(355,1)}
        75:{2,4}:{(46,1),(47,1),(114,1)}
        76:{1,3,5}:{(47,1),(55,1),(114,1),(115,1),(123,1),(203,1)}
        77:{1,5,6,7}:{(48,1),(59,1),(103,1),(116,1),(294,1),(338,1),(398,1)}
        78:{1,4,6}:{(48,1),(49,1),(60,1),(104,1),(117,1),(205,1)}
        79:{1,3,5,7}:{(49,1),(50,1),(53,1),(61,1),(105,1),(117,1),(118,1)}
        80:{2,4,7}:{(50,1),(51,1),(54,1),(118,1),(119,1)}
        81:{1,3,7}:{(51,1),(55,1),(119,1),(120,1)}
        82:{1,4,5,7}:{(52,1),(63,1),(107,1),(116,1),(121,1),(208,1),(216,1),(272,1),(294,1),(338,1)}
        83:{1,3,5,6}:{(52,1),(53,1),(64,1),(108,1),(112,1),(117,1),(121,1),(122,1),(355,1),(397,1)}
        84:{2,5}:{(53,1),(54,1),(123,1)}
        85:{1,4,6}:{(54,1),(55,1),(114,1),(119,1),(123,1),(205,1)}
        86:{1,2,6}:{(55,1),(115,1),(120,1),(284,1)}
        87:{3,5,6,7}:{(56,1),(59,1),(126,1),(132,1),(211,1),(387,1),(410,1)}
        88:{4,6}:{(56,1),(57,1)}
        89:{3,4,5,7}:{(57,1),(58,1),(61,1),(127,1),(128,1),(129,1),(211,1),(342,1),(390,1),(391,1),(409,1)}
        90:{3,4,6}:{(58,1),(64,1),(129,1),(130,1),(388,1)}
        91:{2,4,5}:{(58,1),(65,1),(130,1),(131,1),(280,1)}
        92:{2,4,6,7}:{(59,1),(60,1),(63,1),(116,1),(126,1),(132,1),(204,1),(393,1)}
        93:{3,6}:{(60,1),(61,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(65,1),(118,1),(128,1),(133,1),(134,1),(391,1),(396,1)}
        95:{1,3,4,7}:{(62,1),(66,1),(119,1),(134,1),(135,1),(207,1),(216,1),(283,1),(291,1),(298,1),(299,1),(394,1)}
        96:{3,5,7}:{(63,1),(64,1),(129,1),(132,1),(343,1)}
        97:{2,3,5,6}:{(64,1),(65,1),(122,1),(130,1),(133,1),(136,1),(137,1),(197,1),(212,1)}
        98:{1,3,5}:{(65,1),(66,1),(123,1),(131,1),(138,1),(218,1),(357,1),(362,1),(395,1)}
        99:{2,4,6}:{(66,1),(135,1),(138,1),(139,1),(199,1),(220,1),(224,1),(284,1)}
       100:{3,5,6}:{(67,1),(68,1),(141,1),(146,1)}
       101:{4,5,7}:{(67,1),(141,1),(382,1),(383,1)}
       102:{3,4,5}:{(72,1),(143,1),(144,1),(261,1),(334,1),(383,1)}
       103:{2,5,6,7}:{(68,1),(77,1),(140,1),(145,1),(305,1),(329,1),(386,1)}
       104:{2,4,6}:{(68,1),(69,1),(78,1),(141,1),(146,1),(160,1)}
       105:{3,5,7}:{(69,1),(70,1),(72,1),(146,1)}
       106:{2,3,4,7}:{(70,1),(73,1),(80,1),(147,1),(148,1),(178,1),(230,1),(241,1),(264,1),(333,1),(377,1)}
       107:{2,4,5,7}:{(71,1),(82,1),(145,1),(149,1),(163,1),(225,1),(230,1),(259,1),(305,1),(329,1),(382,1)}
       108:{3,5,6}:{(71,1),(72,1),(143,1),(146,1),(149,1),(260,1),(334,1),(385,1)}
       109:{2,3,5}:{(72,1),(73,1),(84,1),(144,1),(151,1),(334,1),(336,1),(378,1)}
       110:{1,3,4,6}:{(73,1),(85,1),(148,1),(151,1),(152,1),(154,1),(166,1),(231,1),(234,1),(242,1),(253,1),(311,1),(312,1),(326,1),(369,1),(376,1)}
       111:{2,3,4}:{(75,1),(153,1),(154,1),(244,1),(261,1),(312,1),(322,1)}
       112:{1,3,4,6}:{(74,1),(83,1),(90,1),(143,1),(155,1),(156,1),(173,1),(231,1),(242,1),(260,1),(311,1)}
       113:{2,4,5}:{(74,1),(75,1),(84,1),(153,1),(156,1),(157,1),(243,1),(322,1),(378,1)}
       114:{1,4}:{(75,1),(76,1)}
       115:{1,2,5}:{(76,1),(86,1),(158,1),(243,1)}
       116:{1,4,6,7}:{(77,1),(78,1),(82,1),(92,1),(145,1),(159,1),(248,1),(381,1)}
       117:{1,3,6}:{(78,1),(79,1),(93,1),(146,1),(160,1)}
       118:{2,5,7}:{(79,1),(80,1),(84,1),(160,1),(161,1)}
       119:{1,4,7}:{(80,1),(81,1),(85,1),(161,1)}
       120:{1,2,7}:{(81,1),(86,1),(320,1)}
       121:{1,3,5,7}:{(82,1),(83,1),(96,1),(149,1),(155,1),(159,1),(163,1)}
       122:{2,5,6}:{(83,1),(84,1),(156,1),(160,1),(163,1),(164,1),(378,1),(407,1)}
       123:{1,5}:{(84,1),(85,1)}
       124:{1,2,4,6}:{(85,1),(86,1),(99,1),(152,1),(158,1),(162,1),(165,1),(166,1),(240,1),(249,1),(253,1),(318,1),(326,1),(376,1)}
       125:{4,5,6}:{(88,1),(167,1),(168,1),(402,1),(412,1)}
       126:{4,6,7}:{(87,1),(88,1),(167,1),(401,1),(412,1)}
       127:{3,4,6}:{(88,1),(89,1),(93,1),(168,1),(170,1),(404,1),(412,1)}
       128:{2,4,5,7}:{(89,1),(91,1),(94,1),(170,1),(171,1),(172,1),(254,1),(315,1),(373,1)}
       129:{3,4,7}:{(90,1),(96,1),(172,1),(401,1)}
       130:{2,4,6}:{(90,1),(91,1),(97,1),(172,1),(173,1)}
       131:{1,4,5}:{(91,1),(98,1),(173,1),(174,1),(253,1),(383,1)}
       132:{3,6,7}:{(92,1),(93,1),(96,1),(404,1)}
       133:{2,3,6}:{(93,1),(94,1),(160,1),(170,1),(176,1),(404,1),(407,1)}
       134:{1,3,5,7}:{(94,1),(95,1),(98,1),(161,1),(171,1),(176,1),(177,1),(258,1),(406,1)}
       135:{2,4,7}:{(95,1),(99,1),(177,1),(178,1),(320,1)}
       136:{2,3,5,7}:{(96,1),(97,1),(163,1),(172,1),(175,1),(179,1),(241,1),(254,1)}
       137:{1,3,5,6}:{(97,1),(98,1),(164,1),(173,1),(176,1),(179,1),(180,1),(242,1),(255,1),(260,1),(330,1)}
       138:{2,5}:{(98,1),(99,1)}
       139:{2,3,6}:{(99,1),(166,1),(178,1),(181,1),(244,1),(260,1)}
       140:{3,5,6,7}:{(100,1),(103,1),(183,1),(189,1),(267,1),(359,1),(400,1)}
       141:{4,6}:{(100,1),(101,1)}
       142:{3,4,5,7}:{(101,1),(102,1),(105,1),(184,1),(185,1),(186,1),(267,1),(298,1),(362,1),(363,1),(399,1)}
       143:{3,4,6}:{(102,1),(108,1),(186,1),(187,1),(360,1)}
       144:{2,4,5}:{(102,1),(109,1),(187,1),(188,1),(224,1)}
       145:{2,4,6,7}:{(103,1),(104,1),(107,1),(116,1),(183,1),(189,1),(204,1),(365,1)}
       146:{3,6}:{(104,1),(105,1)}
       147:{2,3,5,7}:{(105,1),(106,1),(109,1),(118,1),(185,1),(190,1),(191,1),(363,1),(396,1)}
       148:{1,3,4,7}:{(106,1),(110,1),(119,1),(191,1),(192,1),(207,1),(272,1),(283,1),(291,1),(342,1),(343,1),(394,1)}
       149:{3,5,7}:{(107,1),(108,1),(186,1),(189,1),(299,1)}
       150:{2,3,5,6}:{(108,1),(109,1),(122,1),(187,1),(190,1),(193,1),(194,1),(197,1),(268,1)}
       151:{1,3,5}:{(109,1),(110,1),(123,1),(188,1),(195,1),(274,1),(357,1),(390,1),(395,1)}
       152:{2,4,6}:{(110,1),(192,1),(195,1),(196,1),(199,1),(276,1),(280,1),(284,1)}
       153:{2,3,5}:{(111,1),(113,1),(197,1),(198,1),(218,1),(274,1)}
       154:{1,3,4}:{(111,1),(114,1),(198,1),(199,1),(203,1),(282,1),(351,1)}
       155:{1,3,4,7}:{(112,1),(121,1),(129,1),(186,1),(200,1),(216,1),(272,1),(283,1),(299,1),(343,1)}
       156:{2,4,6}:{(112,1),(113,1),(122,1),(197,1),(200,1),(201,1),(284,1)}
       157:{1,4,5}:{(113,1),(114,1),(123,1),(198,1),(201,1),(351,1),(395,1)}
       158:{1,2,4}:{(114,1),(115,1),(199,1),(203,1)}
       159:{1,3,6,7}:{(116,1),(117,1),(121,1),(132,1),(189,1),(204,1),(397,1)}
       160:{2,6}:{(117,1),(118,1),(205,1)}
       161:{1,5,7}:{(118,1),(119,1),(123,1),(205,1)}
       162:{1,2,4,7}:{(119,1),(120,1),(124,1),(135,1),(192,1),(206,1),(207,1),(291,1),(349,1),(394,1)}
       163:{2,5,7}:{(121,1),(122,1),(200,1),(204,1),(208,1)}
       164:{1,5,6}:{(122,1),(123,1),(201,1),(205,1),(208,1),(395,1),(411,1)}
       165:{1,2,5}:{(123,1),(124,1),(138,1),(195,1),(210,1),(357,1),(395,1)}
       166:{1,3,6}:{(124,1),(139,1),(196,1),(203,1),(207,1),(210,1),(282,1)}
       167:{4,5,7}:{(125,1),(126,1),(211,1)}
       168:{3,5,6}:{(125,1),(127,1),(211,1),(212,1),(390,1)}
       169:{3,4,6,7}:{(126,1),(127,1),(129,1),(132,1),(211,1),(213,1)}
       170:{2,4,6}:{(127,1),(128,1),(133,1),(212,1),(214,1)}
       171:{1,4,5,7}:{(128,1),(131,1),(134,1),(214,1),(215,1),(216,1),(291,1),(294,1),(357,1)}
       172:{2,4,7}:{(129,1),(130,1),(136,1),(216,1)}
       173:{1,4,6}:{(130,1),(131,1),(137,1),(216,1),(217,1),(360,1)}
       174:{2,4,5}:{(131,1),(138,1),(217,1),(218,1),(224,1)}
       175:{2,3,6,7}:{(132,1),(133,1),(136,1),(204,1),(213,1),(219,1)}
       176:{1,3,6}:{(133,1),(134,1),(205,1),(214,1),(220,1),(297,1),(411,1)}
       177:{2,5,7}:{(134,1),(135,1),(138,1),(220,1)}
       178:{2,3,7}:{(135,1),(139,1),(207,1),(299,1)}
       179:{1,3,5,7}:{(136,1),(137,1),(208,1),(216,1),(219,1),(222,1),(283,1),(294,1),(299,1),(359,1)}
       180:{2,5,6}:{(137,1),(138,1),(217,1),(220,1),(222,1),(284,1)}
       181:{2,3,5}:{(138,1),(139,1),(210,1),(218,1),(224,1)}
       182:{4,5,6}:{(141,1),(225,1),(226,1),(383,1),(408,1)}
       183:{4,6,7}:{(140,1),(141,1),(225,1),(382,1),(408,1)}
       184:{3,4,6}:{(141,1),(142,1),(146,1),(226,1),(228,1),(385,1),(408,1)}
       185:{2,4,5,7}:{(142,1),(144,1),(147,1),(228,1),(229,1),(230,1),(264,1),(305,1),(336,1)}
       186:{3,4,7}:{(143,1),(149,1),(230,1),(382,1)}
       187:{2,4,6}:{(143,1),(144,1),(150,1),(230,1),(231,1)}
       188:{1,4,5}:{(144,1),(151,1),(231,1),(232,1),(253,1),(402,1)}
       189:{3,6,7}:{(145,1),(146,1),(149,1),(385,1)}
       190:{2,3,6}:{(146,1),(147,1),(160,1),(228,1),(234,1),(385,1),(407,1)}
       191:{1,3,5,7}:{(147,1),(148,1),(151,1),(161,1),(229,1),(234,1),(235,1),(309,1),(406,1)}
       192:{2,4,7}:{(148,1),(152,1),(235,1),(236,1),(320,1)}
       193:{2,3,5,7}:{(149,1),(150,1),(163,1),(230,1),(233,1),(237,1),(241,1),(305,1)}
       194:{1,3,5,6}:{(150,1),(151,1),(164,1),(231,1),(234,1),(237,1),(238,1),(242,1),(306,1),(311,1),(367,1)}
       195:{2,5}:{(151,1),(152,1)}
       196:{2,3,6}:{(152,1),(166,1),(236,1),(239,1),(244,1),(311,1)}
       197:{2,3,6}:{(153,1),(156,1),(241,1),(242,1),(260,1),(311,1)}
       198:{1,3,5}:{(153,1),(154,1),(157,1),(242,1),(243,1)}
       199:{2,4}:{(154,1),(243,1),(244,1)}
       200:{2,4,7}:{(155,1),(156,1),(163,1),(241,1),(245,1),(320,1)}
       201:{1,4,6}:{(156,1),(157,1),(164,1),(242,1),(245,1)}
       202:{1,2,4,5}:{(157,1),(158,1),(165,1),(174,1),(232,1),(243,1),(246,1),(247,1),(253,1),(322,1),(328,1),(378,1)}
       203:{1,3}:{(158,1),(244,1)}
       204:{2,6,7}:{(159,1),(160,1),(163,1),(248,1),(407,1)}
       205:{1,6}:{(160,1),(161,1)}
       206:{1,2,5,7}:{(161,1),(162,1),(165,1),(177,1),(235,1),(249,1),(250,1),(406,1)}
       207:{1,3,7}:{(162,1),(166,1),(178,1),(236,1)}
       208:{1,5,7}:{(163,1),(164,1),(245,1),(248,1)}
       209:{1,2,5,6}:{(164,1),(165,1),(180,1),(238,1),(246,1),(249,1),(251,1),(252,1),(318,1),(378,1),(407,1)}
       210:{1,3,5}:{(165,1),(166,1),(181,1),(239,1),(253,1)}
       211:{3,5,7}:{(167,1),(168,1),(169,1),(254,1)}
       212:{2,5,6}:{(168,1),(170,1),(254,1),(255,1),(373,1)}
       213:{2,4,6,7}:{(169,1),(170,1),(172,1),(175,1),(254,1),(256,1)}
       214:{1,4,6}:{(170,1),(171,1),(176,1),(255,1),(257,1)}
       215:{2,4,5,7}:{(171,1),(174,1),(177,1),(257,1),(258,1),(259,1),(264,1),(329,1),(336,1),(382,1),(383,1)}
       216:{1,4,7}:{(172,1),(173,1),(179,1),(259,1),(382,1)}
       217:{2,4,6}:{(173,1),(174,1),(180,1),(259,1),(260,1)}
       218:{3,5}:{(174,1),(260,1),(261,1)}
       219:{1,3,6,7}:{(175,1),(176,1),(179,1),(248,1),(256,1),(262,1),(331,1)}
       220:{2,6}:{(176,1),(177,1)}
       221:{2,3,5,7}:{(177,1),(178,1),(181,1),(250,1),(258,1),(263,1),(264,1),(336,1)}
       222:{2,5,7}:{(179,1),(180,1),(259,1),(262,1),(320,1)}
       223:{2,3,5,6}:{(180,1),(181,1),(252,1),(260,1),(263,1),(265,1),(266,1),(321,1),(330,1),(334,1),(336,1),(378,1),(385,1),(386,1),(407,1)}
       224:{2,4}:{(181,1),(253,1),(261,1)}
       225:{4,5,7}:{(182,1),(183,1),(267,1)}
       226:{3,5,6}:{(182,1),(184,1),(267,1),(268,1),(362,1)}
       227:{3,4,6,7}:{(183,1),(184,1),(186,1),(189,1),(267,1),(269,1)}
       228:{2,4,6}:{(184,1),(185,1),(190,1),(268,1),(270,1)}
       229:{1,4,5,7}:{(185,1),(188,1),(191,1),(270,1),(271,1),(272,1),(291,1),(338,1),(357,1)}
       230:{2,4,7}:{(186,1),(187,1),(193,1),(272,1)}
       231:{1,4,6}:{(187,1),(188,1),(194,1),(272,1),(273,1),(388,1)}
       232:{2,4,5}:{(188,1),(195,1),(273,1),(274,1),(280,1)}
       233:{2,3,6,7}:{(189,1),(190,1),(193,1),(204,1),(269,1),(275,1)}
       234:{1,3,6}:{(190,1),(191,1),(205,1),(270,1),(276,1),(341,1),(411,1)}
       235:{2,5,7}:{(191,1),(192,1),(195,1),(276,1)}
       236:{2,3,7}:{(192,1),(196,1),(207,1),(343,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(208,1),(272,1),(275,1),(278,1),(283,1),(338,1),(343,1),(387,1)}
       238:{2,5,6}:{(194,1),(195,1),(273,1),(276,1),(278,1),(284,1)}
       239:{2,3,5}:{(195,1),(196,1),(210,1),(274,1),(280,1)}
       240:{1,2,4}:{(199,1),(281,1),(282,1),(351,1)}
       241:{2,3,7}:{(197,1),(200,1),(283,1),(299,1),(343,1)}
       242:{1,3,6}:{(197,1),(198,1),(201,1),(283,1),(284,1)}
       243:{2,5}:{(198,1),(199,1),(284,1)}
       244:{2,3}:{(199,1),(203,1),(282,1)}
       245:{1,4,7}:{(200,1),(201,1),(208,1),(283,1)}
       246:{1,2,4,6}:{(201,1),(202,1),(209,1),(217,1),(273,1),(284,1),(286,1),(287,1),(293,1),(353,1)}
       247:{1,3,5}:{(202,1),(203,1),(218,1),(274,1),(285,1),(287,1),(288,1)}
       248:{1,6,7}:{(204,1),(205,1),(208,1),(411,1)}
       249:{1,2,6}:{(205,1),(206,1),(220,1),(276,1),(290,1),(411,1)}
       250:{1,3,5,7}:{(206,1),(207,1),(210,1),(221,1),(277,1),(290,1),(291,1),(357,1)}
       251:{1,2,5,7}:{(208,1),(209,1),(222,1),(278,1),(286,1),(289,1),(292,1),(349,1),(396,1)}
       252:{1,3,5,6}:{(209,1),(210,1),(223,1),(279,1),(287,1),(290,1),(292,1),(293,1),(350,1),(355,1),(357,1),(395,1),(397,1),(398,1),(411,1)}
       253:{1,4}:{(210,1),(224,1),(280,1)}
       254:{2,5,7}:{(211,1),(212,1),(213,1),(294,1)}
       255:{1,5,6}:{(212,1),(214,1),(294,1),(295,1),(357,1)}
       256:{1,4,6,7}:{(213,1),(214,1),(216,1),(219,1),(294,1),(296,1)}
       257:{2,4,6}:{(214,1),(215,1),(220,1),(295,1),(297,1),(360,1)}
       258:{3,5,7}:{(215,1),(218,1),(297,1),(298,1),(299,1),(362,1)}
       259:{2,4,7}:{(216,1),(217,1),(222,1),(299,1)}
       260:{3,6}:{(217,1),(218,1),(299,1)}
       261:{3,4}:{(218,1),(224,1)}
       262:{2,6,7}:{(219,1),(220,1),(222,1)}
       263:{2,3,6}:{(220,1),(221,1),(290,1),(297,1),(302,1)}
       264:{2,4,7}:{(221,1),(224,1),(291,1),(298,1),(302,1)}
       265:{2,3,5,7}:{(222,1),(223,1),(292,1),(299,1),(301,1),(303,1),(352,1),(359,1),(363,1),(364,1),(396,1)}
       266:{2,4,6}:{(223,1),(224,1),(293,1),(300,1),(303,1),(304,1),(360,1)}
       267:{3,5,7}:{(225,1),(226,1),(227,1),(305,1)}
       268:{2,5,6}:{(226,1),(228,1),(305,1),(306,1),(336,1)}
       269:{2,4,6,7}:{(227,1),(228,1),(230,1),(233,1),(305,1),(307,1)}
       270:{1,4,6}:{(228,1),(229,1),(234,1),(306,1),(308,1)}
       271:{2,4,5,7}:{(229,1),(232,1),(235,1),(308,1),(309,1),(310,1),(315,1),(366,1),(373,1),(401,1),(402,1)}
       272:{1,4,7}:{(230,1),(231,1),(237,1),(310,1),(401,1)}
       273:{2,4,6}:{(231,1),(232,1),(238,1),(310,1),(311,1)}
       274:{3,5}:{(232,1),(311,1),(312,1)}
       275:{1,3,6,7}:{(233,1),(234,1),(237,1),(248,1),(307,1),(313,1),(368,1)}
       276:{2,6}:{(234,1),(235,1)}
       277:{2,3,5,7}:{(235,1),(236,1),(239,1),(250,1),(309,1),(314,1),(315,1),(373,1)}
       278:{2,5,7}:{(237,1),(238,1),(310,1),(313,1),(320,1)}
       279:{2,3,5,6}:{(238,1),(239,1),(252,1),(311,1),(314,1),(316,1),(317,1),(321,1),(367,1),(371,1),(373,1),(378,1),(404,1),(405,1),(407,1)}
       280:{2,4}:{(239,1),(253,1),(312,1)}
       281:{1,2,5}:{(240,1),(243,1),(318,1),(319,1)}
       282:{1,3}:{(240,1),(244,1)}
       283:{1,3,7}:{(241,1),(242,1),(245,1),(320,1)}
       284:{2,6}:{(242,1),(243,1),(320,1)}
       285:{2,3,5}:{(243,1),(244,1),(247,1),(319,1),(321,1),(322,1),(378,1)}
       286:{1,2,4,7}:{(245,1),(246,1),(251,1),(259,1),(310,1),(320,1),(323,1),(327,1),(377,1)}
       287:{1,3,6}:{(246,1),(247,1),(260,1),(311,1),(321,1),(323,1)}
       288:{1,3,4}:{(247,1),(253,1),(261,1),(312,1),(322,1)}
       289:{1,2,6,7}:{(248,1),(249,1),(251,1),(262,1),(313,1),(325,1),(407,1)}
       290:{1,3,6}:{(249,1),(250,1),(263,1),(314,1),(326,1)}
       291:{1,4,7}:{(250,1),(253,1),(264,1),(315,1),(326,1)}
       292:{1,3,5,7}:{(251,1),(252,1),(265,1),(316,1),(323,1),(325,1),(327,1),(375,1),(380,1),(406,1)}
       293:{1,4,6}:{(252,1),(253,1),(266,1),(317,1),(327,1),(328,1)}
       294:{1,5,7}:{(254,1),(255,1),(256,1),(329,1)}
       295:{2,5,6}:{(255,1),(257,1),(329,1),(330,1),(336,1)}
       296:{2,4,6,7}:{(256,1),(257,1),(259,1),(262,1),(329,1),(331,1),(382,1)}
       297:{3,6}:{(257,1),(258,1)}
       298:{3,4,7}:{(258,1),(261,1),(264,1),(332,1),(382,1)}
       299:{3,7}:{(259,1),(260,1)}
       300:{3,4,6}:{(260,1),(261,1),(266,1),(333,1),(334,1),(385,1)}
       301:{2,3,6,7}:{(262,1),(263,1),(265,1),(325,1),(331,1),(335,1),(385,1),(407,1)}
       302:{2,4,6}:{(263,1),(264,1),(326,1),(332,1),(336,1)}
       303:{2,4,7}:{(265,1),(266,1),(327,1),(333,1),(382,1)}
       304:{2,4,5}:{(266,1),(328,1),(334,1),(336,1),(378,1),(383,1)}
       305:{2,5,7}:{(267,1),(268,1),(269,1),(338,1)}
       306:{1,5,6}:{(268,1),(270,1),(338,1),(339,1),(357,1)}
       307:{1,4,6,7}:{(269,1),(270,1),(272,1),(275,1),(338,1),(340,1)}
       308:{2,4,6}:{(270,1),(271,1),(276,1),(339,1),(341,1),(388,1)}
       309:{3,5,7}:{(271,1),(274,1),(341,1),(342,1),(343,1),(390,1)}
       310:{2,4,7}:{(272,1),(273,1),(278,1),(343,1)}
       311:{3,6}:{(273,1),(274,1),(343,1)}
       312:{3,4}:{(274,1),(280,1)}
       313:{2,6,7}:{(275,1),(276,1),(278,1)}
       314:{2,3,6}:{(276,1),(277,1),(290,1),(341,1),(346,1)}
       315:{2,4,7}:{(277,1),(280,1),(291,1),(342,1),(346,1)}
       316:{2,3,5,7}:{(278,1),(279,1),(292,1),(343,1),(345,1),(347,1),(352,1),(387,1),(391,1),(392,1),(396,1)}
       317:{2,4,6}:{(279,1),(280,1),(293,1),(344,1),(347,1),(348,1),(388,1)}
       318:{1,2,6}:{(281,1),(284,1),(349,1),(350,1)}
       319:{1,3,5}:{(281,1),(282,1),(285,1),(350,1),(351,1),(395,1)}
       320:{2,7}:{(283,1),(284,1)}
       321:{2,3,6}:{(284,1),(285,1),(287,1),(350,1),(352,1),(353,1)}
       322:{2,4}:{(285,1),(288,1),(351,1)}
       323:{1,3,7}:{(286,1),(287,1),(299,1),(343,1),(352,1)}
       324:{1,3,4,6}:{(287,1),(288,1),(293,1),(300,1),(344,1),(353,1),(354,1),(355,1),(397,1)}
       325:{1,3,6,7}:{(289,1),(290,1),(292,1),(301,1),(345,1),(356,1),(397,1),(411,1)}
       326:{1,4,6}:{(290,1),(291,1),(302,1),(346,1),(357,1)}
       327:{1,4,7}:{(292,1),(293,1),(303,1),(347,1)}
       328:{1,4,5}:{(293,1),(304,1),(348,1),(355,1),(357,1),(395,1)}
       329:{2,5,7}:{(294,1),(295,1),(296,1),(359,1)}
       330:{3,5,6}:{(295,1),(297,1),(359,1),(360,1),(362,1)}
       331:{3,6,7}:{(296,1),(297,1),(299,1),(359,1)}
       332:{3,4,6}:{(297,1),(298,1),(302,1),(360,1),(362,1)}
       333:{3,4,7}:{(299,1),(300,1),(303,1),(363,1)}
       334:{3,5}:{(300,1),(304,1)}
       335:{2,4,6,7}:{(301,1),(302,1),(303,1),(356,1),(361,1),(364,1),(365,1)}
       336:{2,5}:{(302,1),(357,1),(362,1)}
       337:{2,4,5,7}:{(303,1),(304,1),(358,1),(363,1),(364,1),(365,1),(396,1),(399,1)}
       338:{1,5,7}:{(305,1),(306,1),(307,1),(366,1)}
       339:{2,5,6}:{(306,1),(308,1),(366,1),(367,1),(373,1)}
       340:{2,4,6,7}:{(307,1),(308,1),(310,1),(313,1),(366,1),(368,1),(401,1)}
       341:{3,6}:{(308,1),(309,1)}
       342:{3,4,7}:{(309,1),(312,1),(315,1),(369,1),(401,1)}
       343:{3,7}:{(310,1),(311,1)}
       344:{3,4,6}:{(311,1),(312,1),(317,1),(370,1),(371,1),(404,1)}
       345:{2,3,6,7}:{(313,1),(314,1),(316,1),(325,1),(368,1),(372,1),(404,1),(407,1)}
       346:{2,4,6}:{(314,1),(315,1),(326,1),(369,1),(373,1)}
       347:{2,4,7}:{(316,1),(317,1),(327,1),(370,1),(401,1)}
       348:{2,4,5}:{(317,1),(328,1),(371,1),(373,1),(378,1),(402,1)}
       349:{1,2,7}:{(318,1),(320,1),(375,1)}
       350:{1,3,6}:{(318,1),(319,1),(321,1),(375,1),(376,1)}
       351:{1,4}:{(319,1),(322,1)}
       352:{2,3,7}:{(320,1),(321,1),(323,1),(375,1),(377,1)}
       353:{2,4,6}:{(321,1),(322,1),(324,1),(376,1),(377,1),(378,1),(407,1)}
       354:{1,3,4,7}:{(323,1),(324,1),(327,1),(333,1),(370,1),(377,1),(379,1)}
       355:{1,3,5}:{(324,1),(328,1),(334,1),(371,1),(378,1)}
       356:{1,4,6,7}:{(325,1),(326,1),(327,1),(335,1),(372,1),(380,1),(381,1)}
       357:{1,5}:{(326,1),(336,1),(373,1)}
       358:{1,4,5,7}:{(327,1),(328,1),(337,1),(374,1),(379,1),(380,1),(381,1),(406,1)}
       359:{3,5,7}:{(329,1),(330,1),(331,1),(382,1)}
       360:{4,6}:{(330,1),(382,1),(383,1)}
       361:{3,4,6,7}:{(331,1),(332,1),(333,1),(335,1),(382,1),(384,1),(385,1),(408,1)}
       362:{3,5}:{(332,1),(336,1),(383,1)}
       363:{3,5,7}:{(333,1),(334,1),(337,1),(385,1)}
       364:{2,5,7}:{(335,1),(336,1),(380,1),(384,1),(386,1)}
       365:{2,4,6}:{(337,1),(381,1),(385,1),(386,1),(407,1),(408,1)}
       366:{2,5,7}:{(338,1),(339,1),(340,1),(387,1)}
       367:{3,5,6}:{(339,1),(341,1),(387,1),(388,1),(390,1)}
       368:{3,6,7}:{(340,1),(341,1),(343,1),(387,1)}
       369:{3,4,6}:{(341,1),(342,1),(346,1),(388,1),(390,1)}
       370:{3,4,7}:{(343,1),(344,1),(347,1),(391,1)}
       371:{3,5}:{(344,1),(348,1)}
       372:{2,4,6,7}:{(345,1),(346,1),(347,1),(356,1),(389,1),(392,1),(393,1)}
       373:{2,5}:{(346,1),(357,1),(390,1)}
       374:{2,4,5,7}:{(347,1),(348,1),(358,1),(391,1),(392,1),(393,1),(396,1),(409,1)}
       375:{1,3,7}:{(349,1),(350,1),(352,1),(394,1)}
       376:{1,4,6}:{(350,1),(351,1),(353,1),(394,1),(395,1),(411,1)}
       377:{2,4,7}:{(352,1),(353,1),(354,1),(394,1),(396,1)}
       378:{2,5}:{(353,1),(355,1),(395,1)}
       379:{1,3,5,7}:{(354,1),(355,1),(358,1),(363,1),(391,1),(396,1),(397,1)}
       380:{1,5,7}:{(356,1),(357,1),(364,1),(392,1),(398,1)}
       381:{1,4,6}:{(358,1),(365,1),(393,1),(397,1),(398,1),(411,1)}
       382:{4,7}:{(359,1),(360,1)}
       383:{4,5}:{(360,1),(362,1)}
       384:{3,5,7}:{(361,1),(362,1),(364,1),(399,1),(400,1)}
       385:{3,6}:{(363,1),(365,1)}
       386:{2,5,6}:{(364,1),(365,1),(398,1),(400,1)}
       387:{3,5,7}:{(366,1),(367,1),(368,1),(401,1)}
       388:{4,6}:{(367,1),(401,1),(402,1)}
       389:{3,4,6,7}:{(368,1),(369,1),(370,1),(372,1),(401,1),(403,1),(404,1),(412,1)}
       390:{3,5}:{(369,1),(373,1),(402,1)}
       391:{3,5,7}:{(370,1),(371,1),(374,1),(404,1)}
       392:{2,5,7}:{(372,1),(373,1),(380,1),(403,1),(405,1)}
       393:{2,4,6}:{(374,1),(381,1),(404,1),(405,1),(407,1),(412,1)}
       394:{1,4,7}:{(375,1),(376,1),(377,1),(406,1)}
       395:{1,5}:{(376,1),(378,1)}
       396:{2,5,7}:{(377,1),(378,1),(379,1),(406,1),(407,1)}
       397:{1,3,6}:{(379,1),(381,1),(385,1),(404,1),(407,1)}
       398:{1,5,6}:{(380,1),(381,1),(386,1),(405,1)}
       399:{4,5,7}:{(382,1),(383,1),(384,1),(408,1)}
       400:{3,5,6}:{(384,1),(385,1),(386,1),(408,1)}
       401:{4,7}:{(387,1),(388,1)}
       402:{4,5}:{(388,1),(390,1)}
       403:{3,5,7}:{(389,1),(390,1),(392,1),(409,1),(410,1)}
       404:{3,6}:{(391,1),(393,1)}
       405:{2,5,6}:{(392,1),(393,1),(398,1),(410,1)}
       406:{1,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       407:{2,6}:{(396,1),(397,1),(411,1)}
       408:{4,6}:{(399,1),(400,1)}
       409:{4,5,7}:{(401,1),(402,1),(403,1),(412,1)}
       410:{3,5,6}:{(403,1),(404,1),(405,1),(412,1)}
       411:{1,6}:{(406,1),(407,1)}
       412:{4,6}:{(409,1),(410,1)}

1275 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(48,1),(53,1)}
         1:{2,3,5,7}:{(4,1),(5,1),(6,1),(18,1),(25,1),(26,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(11,1),(34,1),(67,1)}
         3:{1,2,6}:{(0,1),(10,1),(73,1)}
         4:{1,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(32,1),(35,1),(38,1),(68,1),(70,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(41,1),(73,1)}
         6:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(71,1)}
         7:{2,3,5,7}:{(4,1),(15,1),(16,1),(18,1),(45,1),(46,1),(51,1),(53,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(22,1),(52,1),(54,1)}
         9:{1,3,7}:{(2,1),(18,1),(20,1),(84,1),(125,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(15,1),(22,1),(87,1)}
        11:{1,4,7}:{(4,1),(6,1),(16,1),(22,1),(54,1),(85,1)}
        12:{3,4,7}:{(6,1),(24,1),(25,1),(88,1),(94,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1)}
        14:{2,4,5,7}:{(6,1),(23,1),(25,1),(26,1),(27,1),(53,1),(59,1),(62,1),(89,1),(94,1),(114,1)}
        15:{2,3,6}:{(7,1),(10,1),(29,1),(64,1),(73,1)}
        16:{2,4,7}:{(7,1),(11,1),(28,1),(29,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(97,1),(124,1)}
        18:{2,3,7}:{(9,1),(32,1),(33,1),(34,1),(98,1),(119,1),(124,1)}
        19:{1,2,5}:{(8,1),(35,1),(38,1),(72,1),(97,1)}
        20:{1,3,6}:{(8,1),(9,1),(33,1),(35,1),(123,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(12,1),(28,1),(34,1),(36,1),(37,1),(99,1),(106,1),(119,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(38,1)}
        23:{1,4,5,7}:{(11,1),(14,1),(30,1),(37,1),(38,1),(39,1),(70,1),(74,1),(77,1),(100,1),(106,1),(118,1)}
        24:{3,4,6}:{(12,1),(13,1),(40,1),(41,1),(78,1)}
        25:{3,5,7}:{(12,1),(14,1),(40,1),(41,1),(103,1),(119,1)}
        26:{2,5}:{(13,1),(38,1),(40,1)}
        27:{2,4,6}:{(14,1),(39,1),(41,1),(42,1),(73,1),(78,1)}
        28:{3,4,7}:{(16,1),(44,1),(45,1),(88,1),(107,1)}
        29:{2,4,6}:{(15,1),(16,1),(22,1),(44,1),(46,1)}
        30:{2,4,5,7}:{(16,1),(23,1),(45,1),(46,1),(47,1),(53,1),(80,1),(83,1),(89,1),(107,1),(114,1)}
        31:{1,2,6}:{(17,1),(48,1),(49,1),(121,1)}
        32:{1,3,7}:{(17,1),(18,1),(49,1),(50,1),(108,1)}
        33:{2,3,6}:{(18,1),(20,1),(49,1),(51,1),(52,1),(113,1),(121,1)}
        34:{2,4,7}:{(18,1),(21,1),(50,1),(52,1),(53,1),(109,1)}
        35:{1,3,5}:{(19,1),(20,1),(51,1),(54,1),(108,1),(120,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(22,1),(24,1),(44,1),(52,1),(54,1),(55,1),(56,1),(88,1),(92,1),(113,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(45,1),(53,1),(55,1),(56,1),(110,1),(122,1)}
        38:{1,5}:{(22,1),(26,1),(46,1)}
        39:{1,4,6}:{(23,1),(27,1),(47,1),(56,1),(57,1),(87,1)}
        40:{3,5}:{(24,1),(26,1),(59,1)}
        41:{3,6}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(27,1),(57,1),(60,1),(62,1)}
        43:{2,4,6,7}:{(27,1),(58,1),(61,1),(62,1),(91,1),(94,1),(114,1)}
        44:{3,4,6}:{(28,1),(29,1),(63,1),(64,1),(95,1)}
        45:{3,5,7}:{(28,1),(30,1),(63,1),(64,1),(103,1),(119,1)}
        46:{2,5}:{(29,1),(38,1),(63,1)}
        47:{2,4,6}:{(30,1),(39,1),(64,1),(65,1),(73,1),(95,1)}
        48:{1,2,5}:{(31,1),(67,1),(68,1),(116,1)}
        49:{1,3,6}:{(31,1),(32,1),(33,1),(68,1),(69,1)}
        50:{1,4,7}:{(32,1),(34,1),(69,1),(70,1),(115,1)}
        51:{2,3,5}:{(33,1),(35,1),(68,1),(71,1),(72,1),(98,1),(103,1),(116,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(69,1),(71,1),(72,1),(73,1)}
        53:{2,5,7}:{(34,1),(37,1),(70,1),(72,1),(73,1),(116,1),(124,1)}
        54:{1,4}:{(35,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(40,1),(63,1),(72,1),(74,1),(103,1)}
        56:{1,3,6}:{(37,1),(39,1),(41,1),(64,1),(73,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(65,1),(77,1)}
        58:{1,4,6,7}:{(39,1),(43,1),(66,1),(76,1),(77,1),(102,1),(106,1),(118,1)}
        59:{4,5}:{(40,1),(78,1)}
        60:{3,5,6}:{(40,1),(41,1),(42,1),(78,1),(79,1)}
        61:{3,6,7}:{(41,1),(43,1),(79,1),(119,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(79,1)}
        63:{3,5}:{(44,1),(46,1),(80,1)}
        64:{3,6}:{(45,1),(47,1)}
        65:{2,5,6}:{(46,1),(47,1),(57,1),(81,1),(83,1)}
        66:{2,4,6,7}:{(47,1),(58,1),(82,1),(83,1),(91,1),(107,1),(114,1)}
        67:{1,2,4}:{(48,1),(84,1),(85,1),(109,1)}
        68:{1,3,5}:{(48,1),(49,1),(51,1),(84,1),(85,1),(86,1)}
        69:{1,4,6}:{(49,1),(50,1),(52,1),(85,1),(86,1),(87,1)}
        70:{1,5,7}:{(50,1),(53,1),(86,1),(87,1),(120,1),(125,1)}
        71:{2,4}:{(51,1),(54,1),(85,1),(88,1)}
        72:{2,5}:{(52,1),(55,1),(86,1)}
        73:{2,6}:{(53,1),(56,1),(87,1)}
        74:{1,4,5}:{(54,1),(55,1),(59,1),(80,1),(89,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(55,1),(56,1),(57,1),(60,1),(81,1),(90,1),(92,1),(93,1),(113,1)}
        76:{1,3,6,7}:{(56,1),(58,1),(61,1),(82,1),(91,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{4,6}:{(59,1),(60,1),(94,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(94,1)}
        80:{4,5}:{(63,1),(95,1)}
        81:{3,5,6}:{(63,1),(64,1),(65,1),(95,1),(96,1)}
        82:{3,6,7}:{(64,1),(66,1),(96,1),(119,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(96,1)}
        84:{1,3}:{(67,1),(98,1)}
        85:{1,4}:{(68,1),(71,1)}
        86:{1,5}:{(69,1),(72,1)}
        87:{1,6}:{(70,1),(73,1)}
        88:{3,4}:{(71,1),(103,1)}
        89:{2,4,5}:{(71,1),(72,1),(74,1),(100,1),(103,1),(104,1),(116,1)}
        90:{2,5,6}:{(72,1),(73,1),(75,1),(101,1),(104,1),(105,1)}
        91:{2,6,7}:{(73,1),(76,1),(102,1),(105,1),(124,1)}
        92:{1,4,6}:{(74,1),(75,1),(78,1),(95,1),(104,1),(106,1),(123,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(77,1),(79,1),(96,1),(105,1),(106,1),(119,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{4,6}:{(80,1),(81,1),(107,1)}
        96:{3,5,7}:{(81,1),(82,1),(83,1),(107,1)}
        97:{1,2}:{(108,1)}
        98:{2,3}:{(84,1),(108,1),(109,1)}
        99:{1,3,4}:{(84,1),(85,1),(88,1),(109,1),(110,1)}
       100:{1,4,5}:{(85,1),(86,1),(89,1),(110,1),(111,1)}
       101:{1,5,6}:{(86,1),(87,1),(90,1),(111,1),(112,1)}
       102:{1,6,7}:{(87,1),(91,1),(112,1),(125,1)}
       103:{3,5}:{(88,1),(89,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(92,1),(111,1),(113,1),(114,1),(121,1)}
       105:{2,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1)}
       106:{1,4,7}:{(92,1),(93,1),(94,1),(107,1),(114,1),(125,1)}
       107:{4,7}:{(95,1),(96,1)}
       108:{1,3}:{(97,1),(98,1),(115,1)}
       109:{2,4}:{(98,1),(99,1),(115,1),(116,1)}
       110:{1,3,5}:{(99,1),(100,1),(103,1),(116,1),(117,1)}
       111:{1,4,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       112:{1,5,7}:{(101,1),(102,1),(105,1),(118,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{2,4,7}:{(104,1),(105,1),(106,1),(118,1),(119,1),(124,1)}
       115:{1,4}:{(108,1),(109,1),(120,1)}
       116:{2,5}:{(109,1),(110,1),(120,1),(121,1)}
       117:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       118:{1,4,7}:{(111,1),(112,1),(114,1),(122,1)}
       119:{3,7}:{(113,1),(114,1)}
       120:{1,5}:{(115,1),(116,1),(123,1)}
       121:{2,6}:{(116,1),(117,1),(123,1),(124,1)}
       122:{1,3,7}:{(117,1),(118,1),(119,1),(124,1)}
       123:{1,6}:{(120,1),(121,1),(125,1)}
       124:{2,7}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1276 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1277 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1278 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1279 :   0:{2,4,5,6,7}:{(1,1),(2,1),(16,1),(17,1),(98,1),(168,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(6,1),(30,1),(31,1),(69,1),(136,1)}
         2:{3,5,6,7}:{(0,1),(7,1),(131,1),(202,1)}
         3:{2,3,4,5,7}:{(9,1),(10,1),(12,1),(76,1),(85,1),(139,1),(152,1),(211,1),(220,1),(223,1),(230,1)}
         4:{2,3,4,6,7}:{(9,1),(12,1),(13,1),(17,1),(47,1),(85,1),(86,1),(152,1),(167,1),(170,1)}
         5:{2,4,5,6,7}:{(1,1),(14,1),(16,1),(45,1),(50,1),(104,1)}
         6:{1,3,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(171,1)}
         7:{3,4,6,7}:{(2,1),(11,1),(17,1)}
         8:{2,3,5,6,7}:{(2,1),(12,1),(16,1),(17,1),(18,1),(47,1)}
         9:{2,3,4,6}:{(3,1),(20,1),(21,1),(106,1),(176,1),(251,1),(253,1),(260,1)}
        10:{1,3,4,5,7}:{(3,1),(21,1),(22,1),(25,1),(54,1),(116,1),(121,1),(123,1),(174,1),(181,1),(182,1),(252,1)}
        11:{3,4,5,7}:{(7,1),(19,1),(24,1),(187,1),(202,1)}
        12:{2,3,5,7}:{(4,1),(20,1),(24,1),(25,1),(202,1),(205,1)}
        13:{1,3,4,6,7}:{(4,1),(21,1),(25,1),(26,1),(31,1),(62,1),(71,1),(74,1),(116,1),(121,1),(123,1),(204,1)}
        14:{3,5,6,7}:{(5,1),(27,1),(74,1),(137,1)}
        15:{1,3,4,6,7}:{(6,1),(7,1),(23,1),(27,1),(29,1),(31,1),(69,1),(71,1),(74,1),(131,1)}
        16:{2,5,6,7}:{(6,1),(29,1),(30,1),(205,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(24,1),(31,1)}
        18:{1,3,5,6,7}:{(8,1),(25,1),(30,1),(31,1),(32,1),(71,1),(74,1)}
        19:{3,4,5,6}:{(11,1),(35,1),(210,1),(234,1)}
        20:{2,3,5,6}:{(9,1),(12,1),(35,1),(36,1),(234,1),(236,1)}
        21:{1,3,4,6}:{(9,1),(10,1),(36,1),(37,1),(80,1),(145,1),(147,1),(278,1)}
        22:{2,4,5,7}:{(10,1),(37,1),(38,1),(42,1),(92,1),(148,1),(151,1),(207,1)}
        23:{1,3,4,5,7}:{(11,1),(15,1),(33,1),(39,1),(41,1),(44,1),(87,1),(91,1),(96,1),(156,1),(164,1),(171,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(17,1),(35,1),(41,1),(152,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(36,1),(41,1),(42,1),(91,1),(235,1)}
        26:{2,4,6,7}:{(13,1),(37,1),(42,1),(43,1),(92,1),(100,1),(151,1)}
        27:{3,4,6,7}:{(14,1),(44,1),(45,1)}
        28:{2,3,5,6,7}:{(14,1),(16,1),(45,1),(46,1),(47,1),(95,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(39,1),(47,1),(48,1),(100,1)}
        30:{1,5,6,7}:{(16,1),(48,1),(235,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(41,1),(50,1)}
        32:{2,5,6,7}:{(18,1),(42,1),(50,1),(100,1)}
        33:{1,3,4,5,6}:{(19,1),(23,1),(52,1),(55,1),(66,1),(108,1),(112,1),(127,1),(180,1),(196,1),(206,1)}
        34:{1,2,4,5,7}:{(22,1),(53,1),(54,1),(61,1),(107,1),(121,1),(177,1),(181,1),(185,1),(188,1),(237,1),(252,1),(295,1)}
        35:{2,4,5,6}:{(19,1),(20,1),(24,1),(55,1),(176,1)}
        36:{1,3,5,6}:{(20,1),(21,1),(25,1),(55,1),(56,1),(112,1),(264,1)}
        37:{2,4,6}:{(21,1),(22,1),(56,1),(57,1)}
        38:{2,3,5,7}:{(22,1),(54,1),(57,1),(58,1),(114,1),(186,1),(238,1)}
        39:{2,4,5,7}:{(23,1),(29,1),(52,1),(59,1),(60,1),(119,1),(191,1),(205,1)}
        40:{1,2,4,6,7}:{(26,1),(53,1),(61,1),(62,1),(118,1),(121,1),(133,1),(185,1),(204,1)}
        41:{1,4,5,7}:{(24,1),(25,1),(31,1),(55,1),(63,1),(121,1)}
        42:{2,5,7}:{(25,1),(26,1),(56,1)}
        43:{2,3,6,7}:{(26,1),(57,1),(62,1),(64,1),(74,1),(186,1)}
        44:{3,4,5,7}:{(27,1),(66,1),(67,1),(137,1),(299,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(67,1),(69,1)}
        46:{1,3,5,6,7}:{(28,1),(30,1),(69,1),(70,1),(71,1),(128,1),(131,1)}
        47:{2,3,6,7}:{(29,1),(59,1),(71,1),(74,1),(131,1)}
        48:{1,4,6,7}:{(29,1),(30,1),(60,1),(71,1)}
        49:{1,2,5,6,7}:{(30,1),(32,1),(61,1),(70,1),(72,1),(73,1),(133,1),(189,1),(197,1),(205,1),(264,1),(302,1)}
        50:{2,4,6,7}:{(31,1),(32,1),(63,1),(74,1)}
        51:{2,3,5,6,7}:{(32,1),(64,1),(73,1),(74,1),(75,1),(125,1),(134,1),(137,1),(205,1),(257,1),(302,1),(314,1)}
        52:{2,4,5,6}:{(33,1),(39,1),(77,1),(78,1),(143,1),(213,1),(236,1)}
        53:{1,2,4,6}:{(34,1),(37,1),(79,1),(80,1),(142,1),(145,1),(221,1),(278,1),(307,1)}
        54:{1,3,5,7}:{(34,1),(38,1),(76,1),(80,1),(81,1),(146,1),(218,1),(220,1),(265,1)}
        55:{1,4,5,6}:{(35,1),(36,1),(41,1),(82,1),(145,1)}
        56:{2,5,6}:{(36,1),(37,1),(42,1)}
        57:{2,3,6}:{(37,1),(38,1),(80,1)}
        58:{2,3,4,7}:{(38,1),(81,1),(84,1),(92,1),(266,1)}
        59:{2,3,5,7}:{(39,1),(47,1),(77,1),(85,1),(87,1),(91,1),(164,1)}
        60:{1,4,5,7}:{(39,1),(48,1),(78,1),(87,1),(222,1),(235,1)}
        61:{1,2,5,7}:{(40,1),(42,1),(79,1),(89,1),(153,1),(235,1)}
        62:{1,3,6,7}:{(40,1),(43,1),(80,1),(86,1),(89,1),(218,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(50,1),(82,1),(91,1),(92,1)}
        64:{2,3,5,7}:{(42,1),(43,1),(83,1),(89,1),(91,1),(92,1)}
        65:{2,3,4,6,7}:{(43,1),(84,1),(90,1),(92,1),(93,1),(103,1),(160,1),(170,1),(219,1),(277,1)}
        66:{3,4,5,6}:{(44,1),(94,1),(173,1),(308,1)}
        67:{2,4,5,7}:{(44,1),(45,1),(94,1),(95,1),(96,1),(282,1)}
        68:{2,3,4,6,7}:{(45,1),(47,1),(85,1),(95,1),(97,1),(103,1),(149,1),(170,1),(231,1),(282,1)}
        69:{1,4,6,7}:{(45,1),(46,1),(96,1),(98,1)}
        70:{2,5,6,7}:{(46,1),(98,1),(100,1),(163,1)}
        71:{1,3,6,7}:{(47,1),(48,1),(87,1),(100,1)}
        72:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(88,1),(98,1),(100,1),(101,1),(102,1),(170,1),(221,1),(278,1),(307,1),(311,1)}
        73:{1,3,5,6,7}:{(49,1),(51,1),(89,1),(99,1),(101,1),(102,1),(158,1),(169,1),(171,1),(228,1),(235,1),(286,1)}
        74:{3,6,7}:{(50,1),(91,1)}
        75:{2,4,6,7}:{(51,1),(92,1),(102,1),(103,1),(104,1),(160,1),(282,1),(311,1)}
        76:{2,3,5,7}:{(54,1),(106,1),(107,1),(177,1),(248,1),(287,1),(295,1)}
        77:{2,3,5,6}:{(52,1),(59,1),(105,1),(108,1),(112,1),(196,1)}
        78:{1,4,5,6}:{(52,1),(60,1),(108,1),(242,1),(264,1)}
        79:{1,2,5,6}:{(53,1),(56,1),(61,1),(110,1),(177,1),(189,1),(264,1)}
        80:{1,3,6}:{(53,1),(54,1),(57,1),(106,1),(251,1)}
        81:{1,3,4,7}:{(54,1),(58,1),(107,1),(111,1),(121,1),(187,1),(288,1)}
        82:{2,4,5,6}:{(55,1),(56,1),(63,1),(112,1),(113,1)}
        83:{2,3,5,6}:{(56,1),(57,1),(64,1),(110,1),(112,1),(113,1),(114,1)}
        84:{2,3,4,6}:{(57,1),(58,1),(111,1),(113,1),(114,1)}
        85:{2,3,4,7}:{(59,1),(105,1),(116,1),(123,1),(191,1),(199,1),(248,1)}
        86:{2,3,6,7}:{(62,1),(106,1),(117,1),(118,1),(248,1),(251,1)}
        87:{1,3,5,7}:{(59,1),(60,1),(71,1),(108,1),(116,1),(119,1)}
        88:{1,2,4,5,7}:{(60,1),(61,1),(63,1),(72,1),(109,1),(119,1),(120,1),(121,1),(129,1),(136,1),(185,1),(188,1),(191,1),(197,1),(205,1),(252,1),(258,1),(295,1),(300,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(64,1),(110,1),(117,1),(121,1)}
        90:{1,3,4,6,7}:{(62,1),(65,1),(111,1),(118,1),(121,1),(122,1),(187,1),(193,1),(204,1),(249,1),(251,1),(296,1)}
        91:{3,5,7}:{(63,1),(74,1),(112,1),(123,1)}
        92:{2,4,7}:{(64,1),(113,1),(121,1),(123,1)}
        93:{2,3,5,7}:{(65,1),(114,1),(122,1),(124,1),(125,1),(137,1),(205,1)}
        94:{2,4,5,6}:{(66,1),(67,1),(126,1),(127,1),(297,1)}
        95:{2,3,5,7}:{(67,1),(68,1),(126,1),(128,1),(137,1),(205,1)}
        96:{1,4,5,7}:{(67,1),(69,1),(127,1),(128,1),(129,1),(258,1)}
        97:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(116,1),(128,1),(130,1),(131,1),(183,1),(199,1),(200,1),(204,1),(258,1)}
        98:{2,4,6,7}:{(69,1),(70,1),(129,1),(131,1)}
        99:{2,3,5,6,7}:{(70,1),(73,1),(117,1),(131,1),(132,1),(134,1),(189,1),(198,1),(202,1),(205,1),(251,1),(263,1)}
       100:{2,6,7}:{(71,1),(119,1)}
       101:{1,3,6,7}:{(72,1),(74,1),(120,1),(131,1),(134,1),(251,1),(296,1),(314,1)}
       102:{1,4,6,7}:{(73,1),(75,1),(121,1),(132,1),(136,1),(193,1),(258,1),(301,1)}
       103:{3,4,6,7}:{(74,1),(75,1),(123,1),(137,1),(194,1),(299,1),(314,1)}
       104:{2,4,5,7}:{(75,1),(136,1),(137,1),(138,1),(205,1)}
       105:{2,3,4,6}:{(77,1),(85,1),(139,1),(140,1),(147,1),(213,1),(227,1),(267,1)}
       106:{2,3,6}:{(76,1),(80,1),(142,1),(307,1)}
       107:{2,4,7}:{(76,1),(81,1),(142,1),(303,1)}
       108:{1,3,5,6}:{(77,1),(78,1),(87,1),(140,1),(143,1)}
       109:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(88,1),(143,1),(144,1),(145,1),(162,1),(172,1),(208,1),(211,1),(213,1),(221,1),(225,1),(236,1),(270,1),(278,1),(280,1),(304,1),(307,1),(309,1),(311,1)}
       110:{1,3,5,6}:{(79,1),(80,1),(83,1),(89,1),(141,1),(145,1),(146,1)}
       111:{1,3,4,6}:{(80,1),(81,1),(84,1),(142,1),(145,1),(146,1),(210,1)}
       112:{3,5,6}:{(82,1),(91,1),(147,1)}
       113:{2,4,6}:{(83,1),(92,1),(145,1),(147,1),(148,1)}
       114:{2,3,5}:{(84,1),(146,1),(148,1)}
       115:{2,3,4,5,7}:{(85,1),(95,1),(139,1),(149,1),(150,1),(159,1),(223,1),(273,1),(282,1),(309,1),(310,1)}
       116:{1,3,4,7}:{(85,1),(87,1),(140,1),(151,1),(218,1),(222,1)}
       117:{2,3,5,7}:{(86,1),(89,1),(141,1),(152,1),(153,1),(220,1)}
       118:{2,4,6,7}:{(86,1),(90,1),(142,1),(152,1),(153,1),(221,1),(275,1),(307,1)}
       119:{2,5,7}:{(87,1),(100,1),(143,1),(151,1)}
       120:{1,3,5,7}:{(88,1),(91,1),(101,1),(144,1),(155,1),(156,1),(164,1),(218,1),(220,1),(310,1)}
       121:{1,4,7}:{(89,1),(92,1),(145,1),(152,1)}
       122:{1,3,5,7}:{(90,1),(93,1),(146,1),(153,1),(157,1),(158,1),(220,1),(235,1)}
       123:{3,4,7}:{(91,1),(92,1),(147,1)}
       124:{2,4,5,7}:{(92,1),(93,1),(148,1),(157,1),(159,1),(160,1)}
       125:{2,3,5,6}:{(93,1),(158,1),(160,1),(173,1),(236,1),(277,1)}
       126:{2,3,5,6}:{(94,1),(95,1),(149,1),(161,1),(173,1),(236,1)}
       127:{1,4,5,6}:{(94,1),(96,1),(161,1),(162,1),(280,1)}
       128:{1,3,5,7}:{(95,1),(96,1),(97,1),(161,1),(163,1),(164,1),(235,1)}
       129:{2,4,5,7}:{(96,1),(98,1),(162,1),(163,1),(164,1),(229,1)}
       130:{2,4,6,7}:{(97,1),(100,1),(151,1),(163,1),(166,1),(215,1),(229,1)}
       131:{3,6,7}:{(98,1),(164,1)}
       132:{2,4,6,7}:{(99,1),(102,1),(152,1),(167,1),(168,1),(221,1),(229,1),(284,1)}
       133:{1,2,6,7}:{(100,1),(154,1),(169,1),(307,1)}
       134:{2,3,6,7}:{(100,1),(101,1),(155,1),(169,1),(170,1),(277,1),(307,1)}
       135:{1,3,4,6,7}:{(101,1),(102,1),(103,1),(156,1),(167,1),(170,1),(171,1),(224,1)}
       136:{1,4,5,7}:{(102,1),(104,1),(168,1),(171,1),(172,1),(235,1)}
       137:{3,5,7}:{(103,1),(104,1),(173,1)}
       138:{2,4,5,6}:{(104,1),(160,1),(172,1),(173,1),(236,1),(311,1)}
       139:{2,3,4,5}:{(105,1),(174,1),(182,1),(243,1),(256,1),(287,1)}
       140:{1,3,4,6}:{(105,1),(108,1),(116,1),(174,1),(175,1),(239,1),(242,1)}
       141:{2,3,5,6}:{(106,1),(110,1),(117,1),(176,1),(177,1),(189,1),(241,1),(251,1)}
       142:{2,4,6}:{(106,1),(107,1),(111,1),(177,1)}
       143:{2,5,6}:{(108,1),(119,1),(175,1)}
       144:{1,3,5,6}:{(109,1),(112,1),(120,1),(179,1),(180,1),(196,1),(239,1),(241,1),(251,1),(290,1),(296,1),(313,1),(314,1)}
       145:{1,4,6}:{(110,1),(113,1),(121,1),(176,1),(181,1)}
       146:{1,3,5}:{(111,1),(114,1),(177,1),(181,1),(241,1)}
       147:{3,4,6}:{(112,1),(113,1),(123,1),(182,1)}
       148:{2,4,5}:{(113,1),(114,1),(181,1),(182,1)}
       149:{2,3,4,6}:{(115,1),(126,1),(183,1),(194,1),(253,1),(291,1),(297,1),(314,1)}
       150:{1,3,4,5,7}:{(115,1),(116,1),(128,1),(174,1),(183,1),(184,1),(199,1),(246,1),(252,1),(256,1),(258,1),(298,1)}
       151:{2,4,7}:{(116,1),(119,1),(175,1),(186,1)}
       152:{2,4,7}:{(117,1),(121,1),(176,1),(187,1)}
       153:{2,5,7}:{(118,1),(122,1),(177,1),(189,1)}
       154:{1,2,5,7}:{(119,1),(133,1),(178,1),(185,1),(190,1),(295,1)}
       155:{2,3,5,7}:{(119,1),(120,1),(134,1),(179,1),(186,1),(190,1),(191,1),(205,1),(248,1),(295,1)}
       156:{1,3,4,7}:{(120,1),(121,1),(123,1),(180,1),(187,1),(191,1),(199,1),(258,1),(299,1)}
       157:{1,4,5,7}:{(121,1),(122,1),(124,1),(181,1),(188,1),(193,1)}
       158:{1,3,5,6}:{(122,1),(125,1),(189,1),(193,1),(251,1),(264,1),(296,1)}
       159:{3,4,5,7}:{(123,1),(124,1),(137,1),(182,1),(194,1)}
       160:{2,4,6}:{(124,1),(125,1),(193,1),(194,1)}
       161:{1,3,5,6}:{(126,1),(127,1),(128,1),(183,1),(195,1),(196,1),(264,1)}
       162:{2,4,5,6}:{(127,1),(129,1),(195,1),(196,1),(255,1)}
       163:{2,5,7}:{(128,1),(130,1),(195,1)}
       164:{3,5,7}:{(129,1),(131,1),(196,1),(199,1)}
       165:{1,2,4,6,7}:{(130,1),(133,1),(185,1),(197,1),(200,1),(204,1),(244,1),(258,1),(261,1)}
       166:{2,3,6,7}:{(130,1),(131,1),(186,1),(198,1),(200,1),(245,1)}
       167:{3,4,6,7}:{(131,1),(132,1),(187,1),(199,1),(202,1),(251,1),(260,1)}
       168:{2,4,5,7}:{(132,1),(136,1),(202,1),(203,1),(205,1)}
       169:{1,3,6,7}:{(133,1),(134,1),(190,1),(204,1),(296,1)}
       170:{2,4,6,7}:{(134,1),(135,1),(191,1),(204,1),(205,1),(253,1)}
       171:{1,3,5,7}:{(135,1),(136,1),(137,1),(202,1),(205,1),(206,1)}
       172:{1,4,5,6}:{(136,1),(138,1),(193,1),(203,1),(206,1),(264,1),(301,1)}
       173:{3,5,6}:{(137,1),(138,1),(194,1),(314,1)}
       174:{1,3,4,5}:{(139,1),(140,1),(207,1),(265,1),(270,1)}
       175:{2,4,6}:{(140,1),(143,1),(151,1),(207,1),(209,1)}
       176:{2,4,6}:{(141,1),(145,1),(152,1),(210,1),(211,1)}
       177:{2,5}:{(142,1),(146,1)}
       178:{1,2,5,6}:{(143,1),(154,1),(208,1),(212,1),(304,1),(307,1)}
       179:{2,3,5,6}:{(143,1),(144,1),(155,1),(209,1),(212,1),(213,1),(236,1),(267,1),(269,1),(277,1),(304,1),(307,1)}
       180:{1,3,4,6}:{(144,1),(145,1),(147,1),(156,1),(210,1),(213,1),(214,1),(227,1),(280,1),(308,1)}
       181:{1,4,5}:{(145,1),(146,1),(148,1),(211,1)}
       182:{3,4,5}:{(147,1),(148,1)}
       183:{1,3,4,6}:{(149,1),(150,1),(161,1),(215,1),(227,1),(271,1),(278,1),(280,1)}
       184:{2,4,5,7}:{(150,1),(151,1),(163,1),(207,1),(215,1),(217,1),(229,1),(281,1)}
       185:{1,2,4,7}:{(151,1),(154,1),(208,1),(218,1),(222,1),(275,1)}
       186:{2,3,7}:{(151,1),(209,1),(218,1)}
       187:{3,4,7}:{(152,1),(210,1),(220,1)}
       188:{2,4,5,7}:{(152,1),(153,1),(157,1),(211,1),(220,1),(221,1)}
       189:{2,5,6}:{(153,1),(158,1),(221,1),(307,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(169,1),(212,1),(218,1),(222,1),(235,1)}
       191:{2,4,7}:{(155,1),(156,1),(213,1),(222,1)}
       192:{1,3,4,5,7}:{(156,1),(157,1),(159,1),(171,1),(214,1),(220,1),(223,1),(224,1),(230,1),(276,1),(283,1),(310,1)}
       193:{1,4,6}:{(157,1),(158,1),(160,1),(221,1)}
       194:{3,4,6}:{(159,1),(160,1),(173,1)}
       195:{2,5,6}:{(161,1),(163,1),(215,1)}
       196:{3,5,6}:{(162,1),(164,1),(227,1)}
       197:{1,2,5,7}:{(163,1),(165,1),(225,1),(228,1),(235,1),(285,1)}
       198:{2,3,5,7}:{(163,1),(164,1),(166,1),(226,1),(228,1),(229,1)}
       199:{3,4,7}:{(164,1),(227,1),(229,1)}
       200:{1,3,6,7}:{(165,1),(166,1),(218,1),(228,1),(231,1),(271,1)}
       201:{2,3,4,6,7}:{(166,1),(167,1),(170,1),(219,1),(229,1),(232,1),(233,1),(272,1),(277,1),(284,1)}
       202:{3,5,7}:{(167,1),(168,1),(234,1)}
       203:{2,4,5,6}:{(168,1),(172,1),(221,1),(234,1),(236,1),(284,1)}
       204:{1,4,6,7}:{(169,1),(170,1),(222,1),(235,1),(278,1)}
       205:{2,5,7}:{(170,1),(171,1),(235,1),(236,1)}
       206:{1,3,5,6}:{(171,1),(172,1),(173,1),(224,1),(234,1),(236,1)}
       207:{2,4,5}:{(174,1),(175,1),(238,1)}
       208:{1,2,4,6}:{(175,1),(178,1),(185,1),(237,1),(239,1),(242,1),(289,1)}
       209:{2,3,6}:{(175,1),(186,1),(238,1),(239,1)}
       210:{3,4,6}:{(176,1),(187,1),(241,1),(251,1)}
       211:{2,4,5}:{(176,1),(177,1),(181,1),(241,1)}
       212:{1,3,5,6}:{(178,1),(179,1),(190,1),(239,1),(242,1),(264,1),(290,1),(296,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(242,1),(243,1)}
       214:{1,3,4,5}:{(180,1),(181,1),(182,1),(241,1),(243,1),(256,1),(290,1),(298,1),(313,1)}
       215:{2,4,6}:{(183,1),(184,1),(195,1),(245,1)}
       216:{1,2,4,5,7}:{(184,1),(185,1),(197,1),(237,1),(244,1),(246,1),(252,1),(258,1),(294,1),(295,1),(298,1),(300,1),(312,1)}
       217:{2,3,5,7}:{(184,1),(186,1),(238,1),(245,1),(246,1),(247,1),(293,1)}
       218:{1,3,7}:{(185,1),(186,1),(239,1),(248,1)}
       219:{2,3,4,7}:{(186,1),(187,1),(191,1),(240,1),(249,1),(250,1),(299,1)}
       220:{3,5,7}:{(187,1),(188,1),(241,1),(251,1)}
       221:{2,4,6}:{(188,1),(189,1),(193,1),(251,1)}
       222:{1,4,7}:{(190,1),(191,1),(242,1)}
       223:{2,4,5,7}:{(191,1),(192,1),(205,1),(243,1),(250,1),(252,1),(253,1),(295,1)}
       224:{1,3,4,6}:{(192,1),(193,1),(194,1),(206,1),(251,1),(253,1),(260,1),(296,1),(301,1),(314,1)}
       225:{1,2,5,6}:{(195,1),(197,1),(244,1),(254,1),(264,1),(302,1),(312,1)}
       226:{2,3,5,6}:{(195,1),(196,1),(198,1),(245,1),(254,1),(255,1),(293,1)}
       227:{3,4,6}:{(196,1),(199,1),(255,1),(256,1)}
       228:{1,3,5,7}:{(197,1),(198,1),(200,1),(254,1),(257,1),(258,1)}
       229:{2,4,7}:{(198,1),(199,1),(255,1),(258,1)}
       230:{3,4,5,7}:{(199,1),(202,1),(256,1),(259,1),(260,1)}
       231:{2,3,6,7}:{(200,1),(248,1),(257,1),(261,1),(291,1),(314,1)}
       232:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(249,1),(258,1),(261,1),(262,1),(292,1),(296,1),(299,1),(301,1),(314,1)}
       233:{2,3,5,7}:{(201,1),(202,1),(205,1),(259,1),(262,1),(263,1),(293,1)}
       234:{3,5,6}:{(202,1),(203,1),(251,1),(260,1)}
       235:{1,5,7}:{(204,1),(205,1),(264,1)}
       236:{2,5,6}:{(205,1),(206,1),(253,1),(264,1)}
       237:{1,2,4,5}:{(207,1),(208,1),(265,1),(270,1),(303,1),(304,1)}
       238:{2,3,5}:{(207,1),(209,1),(265,1),(266,1)}
       239:{1,3,6}:{(208,1),(209,1),(218,1),(265,1),(267,1)}
       240:{2,3,4,6}:{(209,1),(210,1),(213,1),(219,1),(266,1),(268,1),(269,1),(277,1),(308,1)}
       241:{3,5}:{(210,1),(211,1)}
       242:{1,4,6}:{(212,1),(213,1),(222,1),(270,1)}
       243:{2,4,5}:{(213,1),(214,1),(269,1),(270,1),(304,1)}
       244:{1,2,4,6}:{(215,1),(216,1),(225,1),(271,1),(278,1),(280,1),(305,1),(307,1),(311,1)}
       245:{2,3,6}:{(215,1),(217,1),(271,1)}
       246:{1,3,5,7}:{(216,1),(217,1),(218,1),(265,1),(271,1),(273,1),(274,1),(306,1),(310,1)}
       247:{2,3,4,7}:{(217,1),(229,1),(266,1),(272,1),(274,1)}
       248:{2,3,7}:{(218,1),(267,1),(275,1)}
       249:{1,3,4,7}:{(218,1),(219,1),(222,1),(268,1),(275,1),(276,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(223,1),(269,1),(276,1),(277,1),(310,1)}
       251:{3,6}:{(220,1),(221,1)}
       252:{1,4,5,7}:{(222,1),(223,1),(235,1),(270,1),(276,1),(278,1)}
       253:{2,4,6}:{(223,1),(224,1),(236,1),(277,1),(278,1),(307,1)}
       254:{1,3,5,6}:{(225,1),(226,1),(228,1),(271,1),(279,1),(280,1),(306,1)}
       255:{2,4,6}:{(226,1),(227,1),(229,1),(280,1),(281,1)}
       256:{3,4,5}:{(227,1),(281,1)}
       257:{2,3,5,7}:{(228,1),(231,1),(279,1),(282,1),(285,1),(310,1)}
       258:{1,4,7}:{(228,1),(229,1),(280,1),(282,1)}
       259:{2,4,5,7}:{(229,1),(230,1),(233,1),(281,1),(283,1),(284,1)}
       260:{3,4,6}:{(230,1),(234,1),(284,1)}
       261:{2,4,6,7}:{(231,1),(232,1),(275,1),(282,1),(285,1),(305,1),(307,1),(311,1)}
       262:{1,3,5,7}:{(232,1),(233,1),(235,1),(283,1),(285,1),(286,1),(306,1),(310,1)}
       263:{2,3,5,6}:{(233,1),(234,1),(236,1),(277,1),(284,1),(286,1)}
       264:{1,5,6}:{(235,1),(236,1),(278,1)}
       265:{1,3,5}:{(237,1),(238,1),(239,1),(287,1),(288,1)}
       266:{2,3,4}:{(238,1),(288,1)}
       267:{2,3,6}:{(239,1),(248,1),(287,1),(289,1)}
       268:{1,3,4,6}:{(239,1),(240,1),(242,1),(249,1),(288,1),(289,1),(290,1),(296,1)}
       269:{2,3,5}:{(240,1),(241,1),(243,1),(290,1),(313,1)}
       270:{1,4,5}:{(242,1),(243,1),(290,1)}
       271:{1,3,6}:{(244,1),(245,1),(246,1),(291,1),(314,1)}
       272:{2,3,4,6}:{(245,1),(247,1),(255,1),(292,1),(293,1)}
       273:{2,3,5,7}:{(246,1),(248,1),(287,1),(291,1),(294,1),(295,1),(312,1)}
       274:{1,3,4,7}:{(246,1),(247,1),(258,1),(288,1),(292,1),(294,1),(299,1)}
       275:{2,4,7}:{(248,1),(249,1),(289,1),(295,1)}
       276:{1,3,5,7}:{(249,1),(250,1),(252,1),(290,1),(295,1),(296,1)}
       277:{2,3,6}:{(250,1),(251,1),(253,1),(296,1),(314,1)}
       278:{1,4,6}:{(252,1),(253,1),(264,1),(296,1)}
       279:{2,3,5,6}:{(254,1),(257,1),(291,1),(297,1),(302,1),(312,1),(313,1),(314,1)}
       280:{1,4,6}:{(254,1),(255,1),(258,1),(297,1),(298,1)}
       281:{2,4,5}:{(255,1),(256,1),(293,1),(298,1)}
       282:{2,4,7}:{(257,1),(258,1),(297,1),(299,1)}
       283:{1,4,5,7}:{(258,1),(259,1),(262,1),(298,1),(300,1),(301,1)}
       284:{2,4,6}:{(259,1),(260,1),(263,1),(301,1)}
       285:{2,5,7}:{(261,1),(262,1),(302,1),(312,1)}
       286:{1,3,5,6}:{(262,1),(263,1),(264,1),(296,1),(301,1),(302,1),(314,1)}
       287:{2,3,5}:{(265,1),(267,1),(303,1),(304,1)}
       288:{1,3,4}:{(265,1),(266,1),(303,1)}
       289:{2,4,6}:{(267,1),(268,1),(275,1),(303,1),(304,1),(307,1)}
       290:{1,3,5}:{(268,1),(269,1),(270,1),(304,1)}
       291:{2,3,6}:{(271,1),(273,1),(305,1),(307,1)}
       292:{1,3,4,6}:{(271,1),(272,1),(274,1),(280,1),(305,1),(306,1),(308,1)}
       293:{2,3,5}:{(272,1),(281,1),(306,1)}
       294:{2,4,7}:{(273,1),(274,1),(303,1),(305,1)}
       295:{2,5,7}:{(275,1),(276,1),(304,1),(307,1)}
       296:{1,3,6}:{(276,1),(277,1),(278,1),(307,1)}
       297:{2,4,6}:{(279,1),(280,1),(282,1),(308,1),(309,1)}
       298:{1,4,5}:{(280,1),(281,1),(306,1),(309,1)}
       299:{3,4,7}:{(282,1),(308,1),(310,1)}
       300:{2,4,5,7}:{(282,1),(283,1),(285,1),(309,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(286,1),(311,1)}
       302:{2,5,6}:{(285,1),(286,1),(307,1),(311,1)}
       303:{2,4}:{(287,1),(288,1)}
       304:{2,5}:{(289,1),(290,1)}
       305:{2,4,6}:{(291,1),(292,1),(294,1),(312,1)}
       306:{1,3,5}:{(292,1),(293,1),(298,1),(312,1),(313,1)}
       307:{2,6}:{(295,1),(296,1)}
       308:{3,4,6}:{(297,1),(299,1),(313,1),(314,1)}
       309:{2,4,5}:{(297,1),(298,1),(312,1),(313,1)}
       310:{3,5,7}:{(299,1),(300,1),(313,1),(314,1)}
       311:{2,4,6}:{(300,1),(301,1),(302,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

1280 :   0:{3,4,5,7}:{(2,1),(3,1),(18,1),(63,1),(136,1),(208,1),(310,1),(400,1),(408,1)}
         1:{2,3,4,7}:{(4,1),(5,1),(6,1),(82,1),(92,1),(166,1),(285,1),(364,1),(374,1)}
         2:{2,4,5,7}:{(0,1),(4,1),(8,1),(9,1),(35,1),(38,1),(92,1),(166,1),(267,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(438,1),(445,1)}
         4:{2,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(408,1),(416,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(15,1),(52,1),(69,1),(128,1),(135,1),(234,1),(336,1),(417,1)}
         6:{2,3,4,6}:{(1,1),(13,1),(15,1),(16,1),(59,1),(123,1),(217,1),(221,1),(238,1),(240,1),(319,1),(329,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(65,1),(136,1),(146,1)}
         8:{1,4,5,7}:{(2,1),(12,1),(19,1),(20,1),(62,1),(67,1),(128,1),(135,1),(227,1)}
         9:{2,4,6}:{(2,1),(3,1),(13,1),(20,1),(21,1)}
        10:{3,5,6}:{(3,1),(18,1),(21,1),(22,1),(310,1)}
        11:{2,3,4,7}:{(24,1),(25,1),(26,1),(32,1),(93,1),(165,1),(284,1),(365,1),(374,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(29,1),(30,1),(34,1),(40,1),(453,1)}
        13:{2,3,6}:{(4,1),(9,1),(30,1),(445,1),(452,1)}
        14:{2,4,7}:{(5,1),(29,1),(32,1),(33,1),(383,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(30,1),(33,1),(34,1),(88,1),(96,1),(107,1),(176,1),(179,1),(187,1),(189,1),(289,1),(290,1),(377,1)}
        16:{2,3,5}:{(6,1),(34,1),(35,1),(267,1),(367,1),(376,1)}
        17:{2,4,6,7}:{(7,1),(9,1),(28,1),(37,1),(38,1),(92,1)}
        18:{3,5,7}:{(7,1),(10,1),(38,1),(39,1)}
        19:{2,4,5,7}:{(8,1),(29,1),(40,1),(41,1),(93,1),(99,1),(104,1),(183,1),(185,1),(196,1),(199,1)}
        20:{1,4,6}:{(8,1),(9,1),(30,1),(41,1),(42,1)}
        21:{2,5,6}:{(9,1),(10,1),(38,1),(42,1),(267,1)}
        22:{4,5,6}:{(10,1),(39,1),(358,1),(438,1)}
        23:{3,4,5,7}:{(44,1),(45,1),(69,1),(112,1),(126,1),(151,1),(216,1),(246,1),(334,1)}
        24:{2,3,5,7}:{(11,1),(44,1),(46,1),(47,1),(50,1),(334,1),(416,1)}
        25:{1,3,4,7}:{(11,1),(46,1),(48,1),(49,1),(52,1),(128,1),(208,1),(215,1),(316,1),(410,1),(417,1)}
        26:{2,3,4,6}:{(11,1),(47,1),(49,1),(50,1),(60,1),(122,1),(137,1),(141,1),(237,1),(320,1),(322,1),(329,1)}
        27:{1,2,4,7}:{(14,1),(48,1),(51,1),(52,1),(53,1),(128,1),(417,1),(418,1)}
        28:{2,3,6,7}:{(13,1),(17,1),(54,1),(55,1),(146,1),(244,1)}
        29:{2,5,7}:{(12,1),(14,1),(57,1),(61,1)}
        30:{1,3,6}:{(12,1),(13,1),(20,1),(57,1),(70,1),(482,1)}
        31:{2,3,5,6}:{(13,1),(16,1),(21,1),(55,1),(58,1),(59,1),(73,1),(154,1),(238,1)}
        32:{2,3,7}:{(14,1),(52,1),(60,1),(234,1)}
        33:{2,4,6}:{(14,1),(15,1),(57,1),(60,1),(61,1),(141,1),(339,1),(340,1)}
        34:{1,3,5}:{(15,1),(16,1),(61,1),(62,1),(142,1),(151,1),(227,1),(419,1)}
        35:{2,4,5}:{(16,1),(59,1),(62,1),(63,1),(221,1)}
        36:{3,5,6,7}:{(18,1),(64,1),(65,1),(146,1),(399,1),(490,1)}
        37:{1,4,6,7}:{(17,1),(20,1),(54,1),(66,1),(67,1),(135,1)}
        38:{2,5,7}:{(17,1),(18,1),(21,1),(67,1)}
        39:{4,5,7}:{(18,1),(22,1),(65,1)}
        40:{3,5,7}:{(19,1),(69,1),(70,1),(142,1),(151,1),(234,1)}
        41:{2,4,6}:{(19,1),(20,1),(57,1),(70,1),(71,1),(152,1)}
        42:{1,5,6}:{(20,1),(21,1),(67,1),(71,1),(227,1)}
        43:{2,4,5,6}:{(21,1),(22,1),(59,1),(68,1),(72,1),(73,1),(154,1),(318,1),(350,1),(407,1),(489,1),(527,1)}
        44:{2,4,5,7}:{(23,1),(24,1),(75,1),(76,1),(85,1),(93,1),(157,1),(165,1),(185,1)}
        45:{3,4,6}:{(23,1),(76,1),(77,1),(296,1),(380,1)}
        46:{1,3,5,7}:{(24,1),(25,1),(75,1),(79,1),(80,1),(84,1),(159,1),(453,1)}
        47:{2,3,6}:{(24,1),(76,1),(80,1),(380,1),(452,1)}
        48:{2,4,7}:{(25,1),(79,1),(82,1),(83,1),(448,1)}
        49:{1,3,4,6}:{(25,1),(26,1),(80,1),(83,1),(84,1),(88,1),(169,1),(176,1),(179,1),(259,1),(269,1),(271,1),(369,1),(370,1),(377,1)}
        50:{2,3,5}:{(26,1),(84,1),(85,1),(185,1),(287,1),(376,1)}
        51:{1,2,5,7}:{(27,1),(29,1),(79,1),(86,1),(87,1),(89,1),(453,1)}
        52:{1,3,7}:{(27,1),(32,1),(82,1),(88,1)}
        53:{1,2,4,6}:{(27,1),(33,1),(83,1),(87,1),(88,1),(89,1),(176,1),(179,1),(377,1),(378,1),(379,1)}
        54:{1,3,6,7}:{(28,1),(30,1),(37,1),(90,1),(91,1),(103,1),(295,1)}
        55:{2,3,5,7}:{(28,1),(31,1),(38,1),(91,1),(92,1),(106,1),(198,1),(285,1)}
        56:{2,3,5,7}:{(29,1),(32,1),(40,1),(86,1),(93,1),(94,1),(98,1),(185,1)}
        57:{2,6}:{(29,1),(30,1)}
        58:{1,3,5,6}:{(30,1),(31,1),(34,1),(42,1),(91,1),(95,1),(96,1),(108,1),(187,1),(202,1),(289,1)}
        59:{2,4,6}:{(31,1),(35,1),(92,1),(96,1),(97,1)}
        60:{2,3,6}:{(32,1),(33,1),(88,1),(98,1),(187,1),(386,1)}
        61:{2,5}:{(33,1),(34,1)}
        62:{1,4,5}:{(34,1),(35,1),(96,1),(99,1),(179,1),(199,1)}
        63:{3,4,5}:{(35,1),(97,1),(271,1),(367,1),(539,1)}
        64:{2,5,6,7}:{(36,1),(38,1),(101,1),(102,1),(362,1),(462,1)}
        65:{4,6,7}:{(36,1),(39,1),(438,1),(512,1)}
        66:{2,4,6,7}:{(37,1),(41,1),(90,1),(103,1),(104,1),(183,1),(196,1)}
        67:{1,5,7}:{(37,1),(38,1),(42,1),(104,1)}
        68:{2,4,5,7}:{(38,1),(39,1),(43,1),(92,1),(102,1),(105,1),(106,1),(198,1),(393,1),(462,1),(512,1)}
        69:{3,4,7}:{(40,1),(93,1),(107,1),(189,1),(196,1)}
        70:{3,6}:{(40,1),(41,1)}
        71:{2,5,6}:{(41,1),(42,1),(104,1),(108,1),(185,1)}
        72:{1,4,5,6}:{(42,1),(43,1),(96,1),(105,1),(109,1),(110,1),(202,1),(277,1),(301,1),(372,1),(461,1)}
        73:{3,5,6}:{(43,1),(97,1),(106,1),(367,1),(395,1),(445,1)}
        74:{3,4,6,7}:{(45,1),(111,1),(112,1),(204,1),(216,1),(305,1)}
        75:{1,4,5,7}:{(44,1),(46,1),(113,1),(114,1),(125,1),(128,1),(206,1),(215,1),(227,1)}
        76:{2,4,6}:{(44,1),(45,1),(47,1),(114,1),(115,1)}
        77:{3,5,6}:{(45,1),(112,1),(115,1),(116,1),(151,1)}
        78:{2,3,6,7}:{(47,1),(111,1),(117,1),(118,1),(305,1),(398,1)}
        79:{2,5,7}:{(46,1),(48,1),(120,1),(124,1)}
        80:{1,3,6}:{(46,1),(47,1),(114,1),(120,1),(209,1),(482,1)}
        81:{2,3,5,6}:{(47,1),(50,1),(115,1),(118,1),(121,1),(122,1),(212,1),(313,1),(320,1)}
        82:{2,3,7}:{(48,1),(52,1),(123,1),(316,1)}
        83:{2,4,6}:{(48,1),(49,1),(120,1),(123,1),(124,1),(221,1),(413,1),(414,1)}
        84:{1,3,5}:{(49,1),(50,1),(124,1),(125,1),(222,1),(227,1),(310,1),(419,1)}
        85:{2,4,5}:{(50,1),(122,1),(125,1),(126,1),(141,1)}
        86:{1,3,5,7}:{(51,1),(52,1),(56,1),(119,1),(128,1),(129,1),(131,1),(227,1)}
        87:{1,2,6}:{(51,1),(57,1),(120,1),(129,1),(482,1)}
        88:{1,3,6}:{(52,1),(53,1),(60,1),(123,1),(131,1),(421,1)}
        89:{1,2,5}:{(53,1),(61,1),(124,1),(131,1),(227,1),(419,1)}
        90:{2,6,7}:{(54,1),(57,1),(134,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(58,1),(67,1),(134,1),(135,1),(148,1),(234,1),(249,1),(336,1)}
        92:{2,4,7}:{(55,1),(59,1),(135,1),(136,1)}
        93:{2,4,7}:{(56,1),(69,1),(128,1),(137,1),(141,1)}
        94:{2,3,6}:{(56,1),(57,1),(70,1),(129,1),(137,1)}
        95:{2,5,6}:{(57,1),(58,1),(61,1),(134,1),(139,1),(339,1)}
        96:{1,4,6}:{(58,1),(59,1),(62,1),(135,1),(139,1),(152,1)}
        97:{3,4,6}:{(59,1),(63,1),(73,1),(136,1),(527,1)}
        98:{2,3,5}:{(60,1),(61,1),(131,1),(141,1),(142,1)}
        99:{2,4,5}:{(61,1),(62,1),(139,1),(141,1),(142,1)}
       100:{1,3,4,5}:{(62,1),(63,1),(140,1),(142,1),(143,1),(230,1),(241,1),(250,1),(328,1),(349,1),(433,1)}
       101:{1,5,6,7}:{(64,1),(67,1),(144,1),(145,1),(324,1),(428,1)}
       102:{2,4,6,7}:{(64,1),(65,1),(68,1),(145,1),(146,1),(244,1),(407,1)}
       103:{3,6,7}:{(66,1),(70,1),(148,1),(234,1)}
       104:{2,5,7}:{(66,1),(67,1),(71,1),(148,1)}
       105:{1,4,5,7}:{(67,1),(68,1),(72,1),(135,1),(145,1),(149,1),(150,1),(249,1),(347,1),(428,1)}
       106:{3,5,7}:{(68,1),(73,1),(136,1),(146,1),(432,1)}
       107:{3,4,6}:{(69,1),(70,1),(137,1),(151,1),(152,1)}
       108:{3,5,6}:{(70,1),(71,1),(148,1),(151,1),(152,1)}
       109:{2,4,5,6}:{(71,1),(72,1),(139,1),(149,1),(152,1),(153,1),(154,1),(236,1),(251,1),(333,1),(341,1),(427,1)}
       110:{1,3,5,6}:{(72,1),(73,1),(140,1),(150,1),(153,1),(154,1),(328,1),(415,1)}
       111:{2,4,6,7}:{(74,1),(76,1),(78,1),(156,1),(157,1),(165,1)}
       112:{3,5,7}:{(74,1),(77,1),(157,1),(158,1)}
       113:{2,4,5,7}:{(75,1),(79,1),(159,1),(160,1),(166,1),(172,1),(256,1),(265,1),(267,1),(355,1),(358,1)}
       114:{1,4,6}:{(75,1),(76,1),(80,1),(160,1),(161,1)}
       115:{2,5,6}:{(76,1),(77,1),(157,1),(161,1),(185,1)}
       116:{4,5,6}:{(77,1),(158,1),(199,1),(296,1)}
       117:{1,3,6,7}:{(78,1),(80,1),(156,1),(163,1),(164,1),(255,1),(437,1)}
       118:{2,3,5,7}:{(78,1),(81,1),(157,1),(164,1),(165,1),(258,1),(357,1),(365,1)}
       119:{2,3,5,7}:{(79,1),(82,1),(86,1),(159,1),(166,1),(167,1),(171,1),(267,1)}
       120:{2,6}:{(79,1),(80,1)}
       121:{1,3,5,6}:{(80,1),(81,1),(84,1),(161,1),(164,1),(168,1),(169,1),(260,1),(269,1),(361,1),(369,1)}
       122:{2,4,6}:{(81,1),(85,1),(165,1),(169,1),(170,1)}
       123:{2,3,6}:{(82,1),(83,1),(88,1),(171,1),(269,1),(451,1)}
       124:{2,5}:{(83,1),(84,1)}
       125:{1,4,5}:{(84,1),(85,1),(169,1),(172,1),(179,1),(358,1)}
       126:{3,4,5}:{(85,1),(170,1),(189,1),(287,1),(552,1)}
       127:{1,2,6,7}:{(87,1),(90,1),(163,1),(174,1),(175,1),(295,1),(390,1),(437,1),(452,1),(496,1),(506,1)}
       128:{1,4,7}:{(86,1),(93,1),(166,1),(176,1),(179,1)}
       129:{1,3,6}:{(86,1),(87,1),(94,1),(167,1),(176,1)}
       130:{1,2,5,6}:{(87,1),(89,1),(95,1),(168,1),(175,1),(177,1),(178,1),(202,1),(302,1),(361,1),(376,1),(378,1),(444,1),(452,1),(455,1),(506,1)}
       131:{1,3,5}:{(88,1),(89,1),(98,1),(171,1),(179,1)}
       132:{1,2,4,5}:{(89,1),(99,1),(172,1),(178,1),(179,1),(180,1),(191,1),(273,1),(277,1),(280,1),(291,1),(371,1),(376,1),(379,1),(394,1),(455,1),(500,1),(508,1)}
       133:{2,3,6,7}:{(90,1),(94,1),(103,1),(174,1),(181,1),(182,1),(380,1),(452,1),(496,1),(531,1),(535,1)}
       134:{2,5,7}:{(90,1),(91,1),(95,1),(183,1),(383,1)}
       135:{1,4,7}:{(91,1),(92,1),(96,1),(183,1),(196,1)}
       136:{3,4,7}:{(92,1),(97,1),(106,1),(512,1)}
       137:{2,4,6}:{(93,1),(94,1),(107,1),(176,1),(185,1)}
       138:{2,3,5,6}:{(94,1),(95,1),(98,1),(108,1),(177,1),(182,1),(185,1),(186,1),(187,1),(279,1),(282,1),(287,1),(376,1),(380,1),(444,1),(452,1),(501,1),(505,1),(535,1),(546,1),(549,1)}
       139:{2,4,6}:{(95,1),(96,1),(99,1),(183,1),(187,1)}
       140:{1,3,4,6}:{(96,1),(97,1),(100,1),(110,1),(184,1),(187,1),(188,1),(200,1),(289,1),(301,1),(395,1)}
       141:{2,4}:{(98,1),(179,1),(189,1)}
       142:{3,5}:{(99,1),(187,1),(189,1)}
       143:{2,4,5}:{(100,1),(188,1),(190,1),(191,1),(280,1),(291,1),(376,1)}
       144:{2,5,6,7}:{(101,1),(104,1),(192,1),(193,1),(282,1),(388,1)}
       145:{1,4,6,7}:{(101,1),(102,1),(105,1),(193,1),(194,1),(295,1),(372,1)}
       146:{3,6,7}:{(102,1),(106,1),(445,1)}
       147:{3,4,6,7}:{(103,1),(107,1),(181,1),(195,1),(196,1),(284,1),(296,1),(380,1),(531,1),(547,1),(548,1)}
       148:{3,5,7}:{(103,1),(104,1),(108,1),(196,1)}
       149:{2,4,5,7}:{(104,1),(105,1),(109,1),(183,1),(193,1),(196,1),(197,1),(198,1),(292,1),(298,1),(388,1)}
       150:{1,3,5,7}:{(105,1),(106,1),(110,1),(184,1),(194,1),(197,1),(198,1)}
       151:{3,5}:{(107,1),(185,1),(199,1)}
       152:{4,6}:{(108,1),(196,1),(199,1)}
       153:{3,5,6}:{(109,1),(187,1),(197,1),(200,1),(287,1),(380,1)}
       154:{2,5,6}:{(110,1),(188,1),(198,1),(202,1),(376,1),(452,1)}
       155:{3,5,6,7}:{(112,1),(203,1),(204,1),(245,1),(305,1),(541,1)}
       156:{1,4,6,7}:{(111,1),(114,1),(117,1),(205,1),(206,1),(215,1)}
       157:{2,5,7}:{(111,1),(112,1),(115,1),(206,1)}
       158:{4,5,7}:{(112,1),(116,1),(204,1)}
       159:{3,5,7}:{(113,1),(208,1),(209,1),(222,1),(310,1),(316,1)}
       160:{2,4,6}:{(113,1),(114,1),(120,1),(209,1),(210,1),(311,1)}
       161:{1,5,6}:{(114,1),(115,1),(206,1),(210,1),(227,1)}
       162:{2,4,5,6}:{(115,1),(116,1),(122,1),(207,1),(211,1),(212,1),(236,1),(313,1),(333,1),(476,1),(540,1),(550,1)}
       163:{2,6,7}:{(117,1),(120,1),(214,1)}
       164:{1,3,5,7}:{(117,1),(118,1),(121,1),(206,1),(214,1),(215,1),(307,1),(316,1),(403,1),(410,1)}
       165:{2,4,7}:{(118,1),(122,1),(215,1),(216,1)}
       166:{2,4,7}:{(119,1),(128,1),(208,1),(217,1),(221,1)}
       167:{2,3,6}:{(119,1),(120,1),(129,1),(209,1),(217,1)}
       168:{2,5,6}:{(120,1),(121,1),(124,1),(214,1),(219,1),(413,1)}
       169:{1,4,6}:{(121,1),(122,1),(125,1),(215,1),(219,1),(311,1)}
       170:{3,4,6}:{(122,1),(126,1),(212,1),(216,1),(550,1)}
       171:{2,3,5}:{(123,1),(124,1),(131,1),(221,1),(222,1)}
       172:{2,4,5}:{(124,1),(125,1),(219,1),(221,1),(222,1)}
       173:{1,3,4,5}:{(125,1),(126,1),(220,1),(222,1),(223,1),(230,1),(323,1),(328,1),(404,1),(475,1),(520,1)}
       174:{1,3,6,7}:{(127,1),(129,1),(133,1),(213,1),(224,1),(225,1),(415,1),(482,1),(524,1)}
       175:{1,2,5,7}:{(127,1),(130,1),(134,1),(214,1),(225,1),(226,1),(249,1),(348,1),(403,1),(416,1),(418,1),(474,1)}
       176:{1,4,6}:{(128,1),(129,1),(137,1),(217,1),(227,1)}
       177:{1,3,5,6}:{(129,1),(130,1),(131,1),(138,1),(218,1),(225,1),(227,1),(228,1),(229,1),(324,1),(328,1),(330,1),(415,1),(419,1),(482,1),(485,1),(524,1),(545,1)}
       178:{1,2,4,6}:{(130,1),(132,1),(139,1),(219,1),(226,1),(228,1),(229,1),(239,1),(321,1),(329,1),(339,1),(350,1),(413,1),(476,1)}
       179:{1,4}:{(131,1),(141,1),(221,1)}
       180:{1,3,5}:{(132,1),(142,1),(222,1),(229,1),(230,1),(231,1),(421,1),(433,1),(520,1)}
       181:{2,4,6,7}:{(133,1),(137,1),(147,1),(224,1),(232,1),(233,1),(333,1),(544,1)}
       182:{2,3,5,7}:{(133,1),(134,1),(138,1),(148,1),(225,1),(232,1),(233,1),(234,1),(327,1),(334,1),(416,1),(474,1),(519,1),(541,1)}
       183:{2,4,7}:{(134,1),(135,1),(139,1),(234,1)}
       184:{1,3,4,7}:{(135,1),(136,1),(140,1),(150,1),(234,1),(235,1),(247,1),(336,1),(347,1),(432,1)}
       185:{2,5}:{(137,1),(151,1),(227,1)}
       186:{2,4,6}:{(138,1),(141,1),(152,1),(228,1),(233,1),(236,1),(237,1),(523,1),(550,1)}
       187:{3,6}:{(139,1),(142,1),(234,1)}
       188:{2,4,6}:{(140,1),(143,1),(154,1),(235,1),(238,1),(239,1),(339,1)}
       189:{3,4}:{(141,1),(142,1)}
       190:{2,3,5}:{(142,1),(143,1),(238,1),(240,1),(241,1),(433,1)}
       191:{1,4,5}:{(143,1),(239,1),(241,1),(331,1),(419,1)}
       192:{3,5,6,7}:{(144,1),(148,1),(242,1),(243,1),(245,1),(342,1)}
       193:{2,4,6,7}:{(144,1),(145,1),(149,1),(242,1),(243,1),(244,1),(333,1)}
       194:{1,3,6,7}:{(145,1),(146,1),(150,1),(243,1),(244,1),(415,1)}
       195:{3,5,7}:{(147,1),(151,1),(232,1),(245,1),(246,1),(551,1)}
       196:{4,7}:{(148,1),(152,1)}
       197:{3,5,7}:{(149,1),(153,1),(234,1),(243,1),(247,1)}
       198:{2,5,7}:{(150,1),(154,1),(235,1),(244,1),(249,1)}
       199:{4,5}:{(151,1),(152,1)}
       200:{3,4,6}:{(152,1),(153,1),(247,1),(250,1),(251,1)}
       201:{2,3,5,6}:{(153,1),(154,1),(238,1),(248,1),(251,1),(252,1),(337,1),(422,1),(427,1)}
       202:{1,5,6}:{(154,1),(239,1),(249,1),(419,1),(482,1)}
       203:{2,5,6,7}:{(155,1),(157,1),(253,1),(254,1),(282,1),(530,1)}
       204:{4,6,7}:{(155,1),(158,1),(296,1),(547,1)}
       205:{2,4,6,7}:{(156,1),(160,1),(163,1),(255,1),(256,1),(265,1),(355,1)}
       206:{1,5,7}:{(156,1),(157,1),(161,1),(256,1)}
       207:{2,4,5,7}:{(157,1),(158,1),(162,1),(165,1),(254,1),(257,1),(258,1),(357,1),(499,1),(530,1),(547,1)}
       208:{3,4,7}:{(159,1),(166,1),(259,1),(271,1),(355,1)}
       209:{3,6}:{(159,1),(160,1)}
       210:{2,5,6}:{(160,1),(161,1),(256,1),(260,1),(267,1)}
       211:{1,4,5,6}:{(161,1),(162,1),(169,1),(257,1),(261,1),(262,1),(277,1),(361,1),(372,1),(443,1),(529,1)}
       212:{3,5,6}:{(162,1),(170,1),(258,1),(287,1),(380,1),(501,1)}
       213:{2,3,6,7}:{(163,1),(167,1),(174,1),(255,1),(263,1),(264,1),(390,1),(445,1),(452,1),(463,1),(509,1)}
       214:{2,5,7}:{(163,1),(164,1),(168,1),(265,1),(448,1)}
       215:{1,4,7}:{(164,1),(165,1),(169,1),(265,1),(355,1)}
       216:{3,4,7}:{(165,1),(170,1),(258,1),(547,1)}
       217:{2,4,6}:{(166,1),(167,1),(176,1),(259,1),(267,1)}
       218:{2,3,5,6}:{(167,1),(168,1),(171,1),(177,1),(260,1),(264,1),(267,1),(268,1),(269,1),(279,1),(302,1),(362,1),(367,1),(376,1),(395,1),(445,1),(452,1),(460,1),(509,1),(511,1),(538,1)}
       219:{2,4,6}:{(168,1),(169,1),(172,1),(265,1),(269,1)}
       220:{1,3,4,6}:{(169,1),(170,1),(173,1),(262,1),(266,1),(269,1),(270,1),(359,1),(369,1),(443,1),(501,1)}
       221:{2,4}:{(171,1),(179,1),(271,1)}
       222:{3,5}:{(172,1),(269,1),(271,1)}
       223:{2,4,5}:{(173,1),(270,1),(272,1),(273,1),(280,1),(371,1),(376,1)}
       224:{1,4,6,7}:{(174,1),(176,1),(181,1),(263,1),(274,1),(275,1),(372,1),(537,1)}
       225:{1,3,5,7}:{(174,1),(175,1),(177,1),(182,1),(264,1),(274,1),(275,1),(276,1),(375,1),(453,1)}
       226:{1,2,4,7}:{(175,1),(178,1),(183,1),(265,1),(275,1),(276,1),(286,1),(366,1),(374,1),(383,1),(393,1),(448,1),(499,1)}
       227:{1,5}:{(176,1),(185,1),(267,1)}
       228:{1,4,6}:{(177,1),(179,1),(186,1),(268,1),(275,1),(277,1),(508,1)}
       229:{1,3,6}:{(178,1),(180,1),(187,1),(269,1),(276,1),(279,1),(395,1),(501,1)}
       230:{1,3,4}:{(179,1),(180,1),(189,1),(271,1),(280,1),(466,1),(508,1),(534,1)}
       231:{2,3,5}:{(180,1),(279,1),(280,1),(281,1),(291,1),(371,1),(376,1),(386,1),(451,1)}
       232:{2,5,7}:{(181,1),(185,1),(195,1),(274,1),(282,1),(549,1)}
       233:{2,4,7}:{(182,1),(186,1),(196,1),(275,1),(284,1),(547,1)}
       234:{3,7}:{(183,1),(187,1)}
       235:{2,4,7}:{(184,1),(188,1),(198,1),(285,1),(286,1),(383,1)}
       236:{2,4,5}:{(185,1),(186,1),(199,1),(277,1),(287,1),(376,1),(549,1),(552,1)}
       237:{3,4,6}:{(186,1),(187,1),(189,1),(284,1),(287,1),(380,1),(501,1),(534,1)}
       238:{2,3,6}:{(187,1),(188,1),(190,1),(285,1),(289,1),(395,1)}
       239:{1,4,6}:{(188,1),(191,1),(202,1),(286,1),(289,1)}
       240:{2,3,4}:{(189,1),(190,1),(280,1),(290,1),(451,1),(466,1)}
       241:{1,3,5}:{(190,1),(191,1),(289,1),(290,1),(291,1)}
       242:{4,6,7}:{(192,1),(196,1),(292,1),(296,1)}
       243:{3,6,7}:{(193,1),(197,1),(380,1)}
       244:{2,6,7}:{(194,1),(198,1),(295,1),(452,1)}
       245:{3,5,6}:{(195,1),(282,1),(296,1),(380,1)}
       246:{4,5,7}:{(195,1),(196,1),(199,1),(296,1),(547,1),(552,1)}
       247:{3,4,7}:{(196,1),(197,1),(200,1),(298,1)}
       248:{2,3,5,7}:{(197,1),(198,1),(201,1),(285,1),(294,1),(298,1),(299,1),(388,1)}
       249:{1,5,7}:{(198,1),(202,1),(286,1),(295,1)}
       250:{3,4,5}:{(199,1),(200,1),(287,1),(300,1),(534,1)}
       251:{2,4,6}:{(200,1),(201,1),(298,1),(300,1),(301,1)}
       252:{1,3,5,6}:{(201,1),(202,1),(289,1),(299,1),(301,1),(302,1),(384,1),(395,1),(457,1),(461,1),(511,1)}
       253:{1,5,6,7}:{(203,1),(206,1),(303,1),(304,1),(324,1),(515,1)}
       254:{2,4,6,7}:{(203,1),(204,1),(207,1),(304,1),(305,1),(333,1),(398,1)}
       255:{3,6,7}:{(205,1),(209,1),(307,1),(316,1)}
       256:{2,5,7}:{(205,1),(206,1),(210,1),(307,1)}
       257:{1,4,5,7}:{(206,1),(207,1),(211,1),(215,1),(304,1),(308,1),(309,1),(403,1),(473,1),(515,1)}
       258:{3,5,7}:{(207,1),(212,1),(216,1),(305,1),(519,1)}
       259:{3,4,6}:{(208,1),(209,1),(217,1),(310,1),(311,1)}
       260:{3,5,6}:{(209,1),(210,1),(307,1),(310,1),(311,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(219,1),(308,1),(311,1),(312,1),(313,1),(318,1),(405,1),(407,1),(467,1),(514,1)}
       262:{1,3,5,6}:{(211,1),(212,1),(220,1),(309,1),(312,1),(313,1),(328,1),(415,1)}
       263:{2,4,6,7}:{(213,1),(217,1),(224,1),(306,1),(314,1),(315,1),(407,1),(526,1)}
       264:{2,3,5,7}:{(213,1),(214,1),(218,1),(225,1),(307,1),(314,1),(315,1),(316,1),(327,1),(348,1),(408,1),(416,1),(432,1),(490,1)}
       265:{2,4,7}:{(214,1),(215,1),(219,1),(316,1)}
       266:{1,3,4,7}:{(215,1),(216,1),(220,1),(309,1),(316,1),(317,1),(401,1),(410,1),(473,1),(519,1)}
       267:{2,5}:{(217,1),(227,1),(310,1)}
       268:{2,4,6}:{(218,1),(221,1),(228,1),(311,1),(315,1),(318,1),(319,1),(488,1),(527,1)}
       269:{3,6}:{(219,1),(222,1),(316,1)}
       270:{2,4,6}:{(220,1),(223,1),(313,1),(317,1),(320,1),(321,1),(413,1)}
       271:{3,4}:{(221,1),(222,1)}
       272:{2,3,5}:{(222,1),(223,1),(320,1),(322,1),(323,1),(520,1)}
       273:{1,4,5}:{(223,1),(321,1),(323,1),(331,1),(419,1)}
       274:{1,5,7}:{(224,1),(227,1),(232,1),(314,1),(324,1),(545,1)}
       275:{1,4,7}:{(225,1),(228,1),(233,1),(315,1)}
       276:{1,3,7}:{(226,1),(229,1),(234,1),(316,1),(327,1),(432,1),(519,1)}
       277:{1,4,5}:{(227,1),(228,1),(236,1),(318,1),(328,1),(419,1),(545,1)}
       278:{1,3,4,6}:{(228,1),(229,1),(230,1),(237,1),(319,1),(326,1),(328,1),(329,1),(415,1)}
       279:{2,3,6}:{(229,1),(231,1),(327,1),(329,1),(330,1),(339,1),(413,1)}
       280:{2,4}:{(230,1),(231,1),(331,1)}
       281:{1,3,5}:{(231,1),(330,1),(331,1),(332,1),(419,1),(421,1)}
       282:{2,5,6}:{(232,1),(245,1),(324,1),(333,1)}
       283:{2,4,5,7}:{(232,1),(233,1),(236,1),(246,1),(325,1),(333,1),(334,1),(416,1)}
       284:{3,4,7}:{(233,1),(234,1),(237,1),(334,1),(519,1)}
       285:{2,3,7}:{(234,1),(235,1),(238,1),(336,1),(432,1)}
       286:{1,4,7}:{(235,1),(239,1),(249,1),(336,1)}
       287:{3,5}:{(236,1),(237,1)}
       288:{2,3,4,6}:{(237,1),(238,1),(240,1),(251,1),(329,1),(335,1),(337,1),(338,1),(422,1),(481,1),(523,1),(544,1)}
       289:{1,3,6}:{(238,1),(239,1),(241,1),(336,1),(339,1)}
       290:{1,3,4}:{(240,1),(241,1),(331,1),(340,1),(421,1)}
       291:{2,5}:{(241,1),(339,1),(340,1)}
       292:{4,5,7}:{(242,1),(341,1),(342,1)}
       293:{3,4,6,7}:{(242,1),(243,1),(247,1),(342,1),(343,1),(345,1)}
       294:{2,3,6,7}:{(243,1),(244,1),(248,1),(343,1),(344,1),(422,1)}
       295:{1,6,7}:{(244,1),(249,1),(482,1)}
       296:{4,6}:{(245,1),(246,1)}
       297:{3,4,5,7}:{(246,1),(247,1),(250,1),(334,1),(342,1),(345,1),(346,1),(543,1),(551,1)}
       298:{2,4,7}:{(247,1),(248,1),(251,1),(347,1)}
       299:{1,3,5,7}:{(248,1),(249,1),(252,1),(336,1),(344,1),(347,1),(348,1),(428,1),(432,1),(490,1)}
       300:{2,4,5}:{(250,1),(251,1),(337,1),(349,1),(523,1)}
       301:{1,4,6}:{(251,1),(252,1),(347,1),(349,1),(350,1),(527,1)}
       302:{2,5,6}:{(252,1),(339,1),(348,1),(350,1),(425,1),(486,1)}
       303:{2,5,6,7}:{(253,1),(256,1),(351,1),(352,1),(362,1),(494,1)}
       304:{1,4,6,7}:{(253,1),(254,1),(257,1),(352,1),(353,1),(372,1),(437,1)}
       305:{3,6,7}:{(254,1),(258,1),(380,1)}
       306:{3,4,6,7}:{(255,1),(259,1),(263,1),(354,1),(355,1),(364,1),(438,1),(445,1),(463,1),(512,1),(513,1)}
       307:{3,5,7}:{(255,1),(256,1),(260,1),(355,1)}
       308:{2,4,5,7}:{(256,1),(257,1),(261,1),(265,1),(352,1),(355,1),(356,1),(357,1),(434,1),(440,1),(494,1)}
       309:{1,3,5,7}:{(257,1),(258,1),(262,1),(266,1),(353,1),(356,1),(357,1)}
       310:{3,5}:{(259,1),(267,1),(358,1)}
       311:{4,6}:{(260,1),(355,1),(358,1)}
       312:{3,5,6}:{(261,1),(269,1),(356,1),(359,1),(367,1),(445,1)}
       313:{2,5,6}:{(262,1),(270,1),(357,1),(361,1),(376,1),(452,1)}
       314:{2,5,7}:{(263,1),(267,1),(274,1),(354,1),(362,1),(538,1)}
       315:{2,4,7}:{(264,1),(268,1),(275,1),(355,1),(364,1),(512,1)}
       316:{3,7}:{(265,1),(269,1)}
       317:{2,4,7}:{(266,1),(270,1),(357,1),(365,1),(366,1),(448,1)}
       318:{2,4,5}:{(267,1),(268,1),(277,1),(358,1),(367,1),(376,1),(538,1),(539,1)}
       319:{3,4,6}:{(268,1),(269,1),(271,1),(364,1),(367,1),(395,1),(445,1),(466,1)}
       320:{2,3,6}:{(269,1),(270,1),(272,1),(365,1),(369,1),(501,1)}
       321:{1,4,6}:{(270,1),(273,1),(361,1),(366,1),(369,1)}
       322:{2,3,4}:{(271,1),(272,1),(280,1),(370,1),(386,1),(534,1)}
       323:{1,3,5}:{(272,1),(273,1),(369,1),(370,1),(371,1)}
       324:{1,5,6}:{(274,1),(282,1),(362,1),(372,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(363,1),(372,1),(373,1),(453,1)}
       326:{1,3,4,7}:{(275,1),(276,1),(278,1),(284,1),(364,1),(373,1),(374,1)}
       327:{2,3,7}:{(276,1),(279,1),(374,1),(375,1),(383,1),(448,1)}
       328:{1,3,5}:{(277,1),(278,1),(287,1),(367,1),(376,1)}
       329:{2,4,6}:{(278,1),(279,1),(280,1),(374,1),(376,1),(377,1),(452,1)}
       330:{1,3,6}:{(279,1),(281,1),(375,1),(377,1),(378,1)}
       331:{1,4}:{(280,1),(281,1)}
       332:{1,2,5}:{(281,1),(291,1),(371,1),(378,1),(379,1)}
       333:{2,4,6}:{(282,1),(283,1),(296,1),(372,1),(380,1),(452,1)}
       334:{3,5,7}:{(283,1),(284,1),(287,1),(380,1)}
       335:{2,3,4,7}:{(284,1),(285,1),(288,1),(298,1),(374,1),(381,1),(382,1),(504,1),(536,1)}
       336:{1,3,7}:{(285,1),(286,1),(289,1),(383,1)}
       337:{2,3,5}:{(287,1),(288,1),(300,1),(376,1),(384,1),(549,1)}
       338:{1,3,4,6}:{(288,1),(289,1),(290,1),(301,1),(377,1),(382,1),(384,1),(385,1),(395,1),(456,1),(457,1),(466,1),(508,1),(513,1),(537,1)}
       339:{2,6}:{(289,1),(291,1),(383,1)}
       340:{2,4}:{(290,1),(291,1),(386,1)}
       341:{4,5,6}:{(292,1),(296,1),(387,1),(552,1)}
       342:{3,5,7}:{(292,1),(293,1),(387,1),(388,1)}
       343:{2,4,6,7}:{(293,1),(294,1),(298,1),(388,1),(389,1),(391,1)}
       344:{1,3,6,7}:{(294,1),(295,1),(299,1),(389,1),(390,1),(457,1),(463,1)}
       345:{3,4,6}:{(296,1),(297,1),(380,1),(387,1),(391,1)}
       346:{2,4,5,7}:{(297,1),(298,1),(300,1),(381,1),(388,1),(391,1),(392,1),(536,1),(549,1)}
       347:{1,4,7}:{(298,1),(299,1),(301,1),(393,1),(512,1)}
       348:{2,5,7}:{(299,1),(302,1),(383,1),(390,1),(393,1)}
       349:{1,4,5}:{(300,1),(301,1),(384,1),(394,1),(508,1),(539,1)}
       350:{2,4,6}:{(301,1),(302,1),(393,1),(394,1),(395,1)}
       351:{3,5,6,7}:{(303,1),(307,1),(396,1),(397,1),(399,1),(468,1)}
       352:{2,4,6,7}:{(303,1),(304,1),(308,1),(396,1),(397,1),(398,1),(407,1)}
       353:{1,3,6,7}:{(304,1),(305,1),(309,1),(397,1),(398,1),(415,1)}
       354:{3,5,7}:{(306,1),(310,1),(314,1),(399,1),(400,1),(528,1)}
       355:{4,7}:{(307,1),(311,1)}
       356:{3,5,7}:{(308,1),(312,1),(316,1),(397,1),(401,1)}
       357:{2,5,7}:{(309,1),(313,1),(317,1),(398,1),(403,1)}
       358:{4,5}:{(310,1),(311,1)}
       359:{3,4,6}:{(311,1),(312,1),(401,1),(404,1),(405,1)}
       360:{2,3,5,6}:{(312,1),(313,1),(320,1),(402,1),(405,1),(406,1),(411,1),(477,1),(514,1)}
       361:{1,5,6}:{(313,1),(321,1),(403,1),(419,1),(482,1)}
       362:{2,5,6}:{(314,1),(324,1),(399,1),(407,1)}
       363:{2,4,5,7}:{(314,1),(315,1),(318,1),(325,1),(400,1),(407,1),(408,1),(416,1)}
       364:{3,4,7}:{(315,1),(316,1),(319,1),(408,1),(432,1)}
       365:{2,3,7}:{(316,1),(317,1),(320,1),(410,1),(519,1)}
       366:{1,4,7}:{(317,1),(321,1),(403,1),(410,1)}
       367:{3,5}:{(318,1),(319,1)}
       368:{2,3,4,6}:{(319,1),(320,1),(322,1),(329,1),(405,1),(409,1),(411,1),(412,1),(426,1),(477,1),(488,1),(526,1)}
       369:{1,3,6}:{(320,1),(321,1),(323,1),(410,1),(413,1)}
       370:{1,3,4}:{(322,1),(323,1),(331,1),(414,1),(421,1)}
       371:{2,5}:{(323,1),(413,1),(414,1)}
       372:{1,4,6}:{(324,1),(325,1),(333,1),(407,1),(415,1),(482,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(334,1),(408,1),(415,1),(416,1)}
       374:{2,4,7}:{(326,1),(327,1),(329,1),(416,1),(417,1)}
       375:{1,3,7}:{(327,1),(330,1),(417,1),(418,1)}
       376:{2,5}:{(328,1),(329,1),(419,1)}
       377:{1,4,6}:{(329,1),(330,1),(331,1),(417,1),(419,1),(482,1)}
       378:{1,2,6}:{(330,1),(332,1),(339,1),(413,1),(418,1)}
       379:{1,2,4}:{(331,1),(332,1),(340,1),(414,1),(421,1)}
       380:{3,6}:{(333,1),(334,1)}
       381:{2,3,5,7}:{(334,1),(335,1),(337,1),(346,1),(416,1),(422,1),(423,1)}
       382:{1,3,4,7}:{(335,1),(336,1),(338,1),(347,1),(417,1),(423,1),(424,1),(432,1),(484,1),(492,1),(525,1)}
       383:{2,7}:{(336,1),(339,1)}
       384:{1,3,5}:{(337,1),(338,1),(349,1),(419,1),(425,1),(433,1),(528,1),(545,1)}
       385:{2,4,6}:{(338,1),(339,1),(340,1),(424,1),(425,1),(426,1),(486,1),(488,1)}
       386:{2,3}:{(340,1),(421,1)}
       387:{3,5,6}:{(341,1),(342,1),(345,1),(427,1),(551,1)}
       388:{2,5,7}:{(342,1),(343,1),(427,1),(428,1)}
       389:{1,4,6,7}:{(343,1),(344,1),(347,1),(428,1),(429,1),(430,1)}
       390:{2,6,7}:{(344,1),(348,1),(486,1)}
       391:{2,4,6}:{(345,1),(346,1),(422,1),(427,1),(430,1)}
       392:{1,4,5,7}:{(346,1),(347,1),(349,1),(423,1),(428,1),(430,1),(431,1),(525,1),(545,1)}
       393:{2,4,7}:{(347,1),(348,1),(350,1),(432,1)}
       394:{2,4,5}:{(349,1),(350,1),(425,1),(433,1),(488,1)}
       395:{3,6}:{(350,1),(432,1),(433,1)}
       396:{4,6,7}:{(351,1),(355,1),(434,1),(438,1)}
       397:{3,6,7}:{(352,1),(356,1),(445,1)}
       398:{2,6,7}:{(353,1),(357,1),(437,1),(452,1)}
       399:{3,5,6}:{(354,1),(362,1),(438,1),(445,1)}
       400:{4,5,7}:{(354,1),(355,1),(358,1),(438,1),(512,1),(539,1)}
       401:{3,4,7}:{(355,1),(356,1),(359,1),(440,1)}
       402:{2,3,5,7}:{(356,1),(357,1),(360,1),(365,1),(436,1),(440,1),(441,1),(494,1)}
       403:{1,5,7}:{(357,1),(361,1),(366,1),(437,1)}
       404:{3,4,5}:{(358,1),(359,1),(367,1),(442,1),(466,1)}
       405:{2,4,6}:{(359,1),(360,1),(440,1),(442,1),(443,1)}
       406:{1,3,5,6}:{(360,1),(361,1),(369,1),(441,1),(443,1),(444,1),(449,1),(501,1),(502,1),(529,1),(546,1)}
       407:{2,4,6}:{(362,1),(363,1),(372,1),(438,1),(445,1),(452,1)}
       408:{3,5,7}:{(363,1),(364,1),(367,1),(445,1)}
       409:{2,3,4,7}:{(364,1),(365,1),(368,1),(374,1),(440,1),(446,1),(447,1),(459,1),(510,1)}
       410:{1,3,7}:{(365,1),(366,1),(369,1),(448,1)}
       411:{2,3,5}:{(367,1),(368,1),(376,1),(442,1),(449,1),(538,1)}
       412:{1,3,4,6}:{(368,1),(369,1),(370,1),(377,1),(443,1),(447,1),(449,1),(450,1),(456,1),(501,1),(502,1),(508,1),(534,1),(537,1),(548,1)}
       413:{2,6}:{(369,1),(371,1),(448,1)}
       414:{2,4}:{(370,1),(371,1),(451,1)}
       415:{1,3,6}:{(372,1),(373,1),(380,1),(445,1),(452,1)}
       416:{2,5,7}:{(373,1),(374,1),(376,1),(452,1),(453,1)}
       417:{1,4,7}:{(374,1),(375,1),(377,1),(453,1)}
       418:{1,2,7}:{(375,1),(378,1),(383,1),(448,1)}
       419:{1,5}:{(376,1),(377,1)}
       420:{1,2,4,6}:{(377,1),(378,1),(379,1),(385,1),(450,1),(454,1),(455,1),(456,1),(506,1),(508,1),(537,1)}
       421:{1,3}:{(379,1),(386,1),(451,1)}
       422:{2,3,6}:{(380,1),(381,1),(391,1),(452,1),(457,1)}
       423:{1,3,5,7}:{(381,1),(382,1),(384,1),(392,1),(453,1),(457,1),(458,1),(465,1)}
       424:{2,4,7}:{(382,1),(383,1),(385,1),(458,1),(459,1)}
       425:{2,5}:{(384,1),(385,1)}
       426:{2,3,6}:{(385,1),(386,1),(395,1),(456,1),(459,1),(460,1)}
       427:{2,5,6}:{(387,1),(388,1),(391,1),(461,1),(549,1)}
       428:{1,5,7}:{(388,1),(389,1),(461,1),(462,1)}
       429:{2,4,6,7}:{(389,1),(390,1),(393,1),(462,1),(463,1),(464,1),(512,1)}
       430:{1,4,6}:{(391,1),(392,1),(457,1),(461,1),(464,1)}
       431:{2,4,5,7}:{(392,1),(393,1),(394,1),(458,1),(462,1),(464,1),(465,1),(510,1),(512,1),(538,1),(539,1)}
       432:{3,7}:{(393,1),(395,1)}
       433:{3,5}:{(394,1),(395,1),(466,1)}
       434:{4,5,7}:{(396,1),(467,1),(468,1)}
       435:{3,4,6,7}:{(396,1),(397,1),(401,1),(468,1),(469,1),(471,1)}
       436:{2,3,6,7}:{(397,1),(398,1),(402,1),(469,1),(470,1),(477,1)}
       437:{1,6,7}:{(398,1),(403,1),(482,1)}
       438:{4,6}:{(399,1),(400,1)}
       439:{3,4,5,7}:{(400,1),(401,1),(404,1),(408,1),(468,1),(471,1),(472,1),(492,1),(528,1)}
       440:{2,4,7}:{(401,1),(402,1),(405,1),(473,1)}
       441:{1,3,5,7}:{(402,1),(403,1),(406,1),(410,1),(470,1),(473,1),(474,1),(515,1),(519,1),(541,1)}
       442:{2,4,5}:{(404,1),(405,1),(411,1),(475,1),(488,1)}
       443:{1,4,6}:{(405,1),(406,1),(473,1),(475,1),(476,1),(550,1)}
       444:{2,5,6}:{(406,1),(413,1),(474,1),(476,1),(480,1),(521,1)}
       445:{3,6}:{(407,1),(408,1)}
       446:{2,3,5,7}:{(408,1),(409,1),(411,1),(416,1),(472,1),(477,1),(478,1)}
       447:{1,3,4,7}:{(409,1),(410,1),(412,1),(417,1),(473,1),(478,1),(479,1),(484,1),(519,1),(525,1),(543,1)}
       448:{2,7}:{(410,1),(413,1)}
       449:{1,3,5}:{(411,1),(412,1),(419,1),(475,1),(480,1),(520,1),(545,1),(551,1)}
       450:{2,4,6}:{(412,1),(413,1),(414,1),(479,1),(480,1),(481,1),(521,1),(523,1)}
       451:{2,3}:{(414,1),(421,1)}
       452:{2,6}:{(415,1),(416,1),(482,1)}
       453:{1,5,7}:{(416,1),(417,1),(419,1),(482,1)}
       454:{1,2,4,7}:{(417,1),(418,1),(420,1),(424,1),(479,1),(483,1),(484,1),(525,1)}
       455:{1,2,5}:{(419,1),(420,1),(425,1),(480,1),(485,1),(545,1)}
       456:{1,3,6}:{(420,1),(421,1),(426,1),(481,1),(484,1),(485,1)}
       457:{1,3,6}:{(422,1),(423,1),(430,1),(482,1),(486,1),(491,1)}
       458:{2,5,7}:{(423,1),(424,1),(425,1),(486,1)}
       459:{2,3,7}:{(424,1),(426,1),(432,1),(484,1)}
       460:{2,3,5}:{(425,1),(426,1),(433,1),(485,1),(488,1)}
       461:{1,5,6}:{(427,1),(428,1),(430,1),(489,1),(545,1)}
       462:{2,5,7}:{(428,1),(429,1),(489,1),(490,1)}
       463:{3,6,7}:{(429,1),(432,1),(490,1),(491,1)}
       464:{2,4,6}:{(430,1),(431,1),(486,1),(489,1),(491,1),(527,1)}
       465:{3,5,7}:{(431,1),(432,1),(433,1),(491,1),(492,1),(528,1)}
       466:{3,4}:{(433,1),(488,1)}
       467:{4,5,6}:{(434,1),(438,1),(493,1),(539,1)}
       468:{3,5,7}:{(434,1),(435,1),(493,1),(494,1)}
       469:{2,4,6,7}:{(435,1),(436,1),(440,1),(494,1),(495,1),(497,1)}
       470:{1,3,6,7}:{(436,1),(437,1),(441,1),(495,1),(496,1),(502,1),(531,1)}
       471:{3,4,6}:{(438,1),(439,1),(445,1),(493,1),(497,1)}
       472:{2,4,5,7}:{(439,1),(440,1),(442,1),(446,1),(494,1),(497,1),(498,1),(510,1),(538,1)}
       473:{1,4,7}:{(440,1),(441,1),(443,1),(499,1),(547,1)}
       474:{2,5,7}:{(441,1),(444,1),(448,1),(496,1),(499,1)}
       475:{1,4,5}:{(442,1),(443,1),(449,1),(500,1),(508,1),(552,1)}
       476:{2,4,6}:{(443,1),(444,1),(499,1),(500,1),(501,1)}
       477:{2,3,6}:{(445,1),(446,1),(452,1),(497,1),(502,1)}
       478:{1,3,5,7}:{(446,1),(447,1),(449,1),(453,1),(498,1),(502,1),(503,1),(533,1)}
       479:{2,4,7}:{(447,1),(448,1),(450,1),(503,1),(504,1)}
       480:{2,5}:{(449,1),(450,1)}
       481:{2,3,6}:{(450,1),(451,1),(456,1),(501,1),(504,1),(505,1)}
       482:{1,6}:{(452,1),(453,1)}
       483:{1,2,5,7}:{(453,1),(454,1),(455,1),(458,1),(503,1),(506,1),(507,1)}
       484:{1,3,7}:{(454,1),(456,1),(459,1),(504,1)}
       485:{1,3,5}:{(455,1),(456,1),(460,1),(505,1),(508,1)}
       486:{2,6}:{(457,1),(458,1)}
       487:{2,3,5,7}:{(458,1),(459,1),(460,1),(465,1),(507,1),(509,1),(510,1),(538,1)}
       488:{2,4}:{(460,1),(466,1),(508,1)}
       489:{2,5,6}:{(461,1),(462,1),(464,1),(511,1),(538,1)}
       490:{3,5,7}:{(462,1),(463,1),(511,1),(512,1)}
       491:{3,6}:{(464,1),(465,1)}
       492:{3,4,7}:{(465,1),(466,1),(510,1),(512,1),(513,1)}
       493:{3,5,6}:{(467,1),(468,1),(471,1),(514,1),(528,1)}
       494:{2,5,7}:{(468,1),(469,1),(514,1),(515,1)}
       495:{1,4,6,7}:{(469,1),(470,1),(473,1),(515,1),(516,1),(517,1)}
       496:{2,6,7}:{(470,1),(474,1),(521,1)}
       497:{2,4,6}:{(471,1),(472,1),(477,1),(514,1),(517,1)}
       498:{1,4,5,7}:{(472,1),(473,1),(475,1),(478,1),(515,1),(517,1),(518,1),(525,1),(545,1)}
       499:{2,4,7}:{(473,1),(474,1),(476,1),(519,1)}
       500:{2,4,5}:{(475,1),(476,1),(480,1),(520,1),(523,1)}
       501:{3,6}:{(476,1),(519,1),(520,1)}
       502:{1,3,6}:{(477,1),(478,1),(482,1),(517,1),(521,1),(542,1)}
       503:{2,5,7}:{(478,1),(479,1),(480,1),(521,1)}
       504:{2,3,7}:{(479,1),(481,1),(484,1),(519,1)}
       505:{2,3,5}:{(480,1),(481,1),(485,1),(520,1),(523,1)}
       506:{1,2,6}:{(482,1),(483,1),(486,1),(521,1),(524,1)}
       507:{1,3,5,7}:{(483,1),(484,1),(485,1),(487,1),(522,1),(524,1),(525,1),(545,1)}
       508:{1,4}:{(485,1),(488,1),(523,1)}
       509:{2,3,6}:{(486,1),(487,1),(491,1),(524,1),(526,1)}
       510:{2,4,7}:{(487,1),(488,1),(492,1),(525,1),(526,1)}
       511:{3,5,6}:{(489,1),(490,1),(491,1),(527,1),(528,1)}
       512:{4,7}:{(490,1),(527,1)}
       513:{3,4,6}:{(491,1),(492,1),(526,1),(527,1),(528,1)}
       514:{2,5,6}:{(493,1),(494,1),(497,1),(529,1),(538,1)}
       515:{1,5,7}:{(494,1),(495,1),(529,1),(530,1)}
       516:{2,4,6,7}:{(495,1),(496,1),(499,1),(530,1),(531,1),(532,1),(547,1)}
       517:{1,4,6}:{(497,1),(498,1),(502,1),(529,1),(532,1)}
       518:{2,4,5,7}:{(498,1),(499,1),(500,1),(503,1),(530,1),(532,1),(533,1),(536,1),(547,1),(549,1),(552,1)}
       519:{3,7}:{(499,1),(501,1)}
       520:{3,5}:{(500,1),(501,1),(534,1)}
       521:{2,6}:{(502,1),(503,1)}
       522:{2,3,5,7}:{(503,1),(504,1),(505,1),(507,1),(533,1),(535,1),(536,1),(549,1)}
       523:{2,4}:{(505,1),(508,1),(534,1)}
       524:{1,3,6}:{(506,1),(507,1),(509,1),(535,1),(537,1)}
       525:{1,4,7}:{(507,1),(508,1),(510,1),(536,1),(537,1)}
       526:{2,4,6}:{(509,1),(510,1),(513,1),(537,1),(538,1)}
       527:{4,6}:{(511,1),(512,1),(539,1)}
       528:{3,5}:{(513,1),(538,1),(539,1)}
       529:{1,5,6}:{(514,1),(515,1),(517,1),(540,1),(545,1)}
       530:{2,5,7}:{(515,1),(516,1),(540,1),(541,1)}
       531:{3,6,7}:{(516,1),(519,1),(541,1),(542,1)}
       532:{2,4,6}:{(517,1),(518,1),(521,1),(540,1),(542,1),(550,1)}
       533:{3,5,7}:{(518,1),(519,1),(520,1),(542,1),(543,1),(551,1)}
       534:{3,4}:{(520,1),(523,1)}
       535:{2,3,6}:{(521,1),(522,1),(524,1),(542,1),(544,1)}
       536:{2,4,7}:{(522,1),(523,1),(525,1),(543,1),(544,1)}
       537:{1,4,6}:{(524,1),(525,1),(526,1),(544,1),(545,1)}
       538:{2,5}:{(526,1),(528,1),(545,1)}
       539:{4,5}:{(527,1),(528,1)}
       540:{2,5,6}:{(529,1),(530,1),(532,1),(546,1),(549,1)}
       541:{3,5,7}:{(530,1),(531,1),(546,1),(547,1)}
       542:{3,6}:{(532,1),(533,1)}
       543:{3,4,7}:{(533,1),(534,1),(536,1),(547,1),(548,1)}
       544:{2,4,6}:{(535,1),(536,1),(537,1),(548,1),(549,1)}
       545:{1,5}:{(537,1),(538,1),(549,1)}
       546:{3,5,6}:{(540,1),(541,1),(542,1),(550,1),(551,1)}
       547:{4,7}:{(541,1),(550,1)}
       548:{3,4,6}:{(542,1),(543,1),(544,1),(550,1),(551,1)}
       549:{2,5}:{(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5}:{(548,1),(549,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1281 :   0:{3,4,5}:{(3,1),(4,1),(115,1),(139,1)}
         1:{2,3,4}:{(5,1),(6,1),(63,1),(101,1)}
         2:{4,5,6}:{(8,1),(9,1),(145,1),(152,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1)}
         4:{2,4,5}:{(0,1),(5,1),(11,1),(12,1),(101,1),(130,1)}
         5:{2,3,5}:{(1,1),(4,1),(14,1),(15,1)}
         6:{1,3,4}:{(1,1),(15,1),(16,1),(44,1),(53,1),(85,1)}
         7:{5,6,7}:{(17,1),(153,1)}
         8:{4,5,7}:{(2,1),(17,1),(18,1)}
         9:{3,5,6}:{(2,1),(3,1),(18,1),(19,1),(139,1),(150,1)}
        10:{3,4,7}:{(3,1),(18,1),(20,1)}
        11:{2,4,6}:{(3,1),(4,1),(14,1),(19,1),(20,1),(21,1)}
        12:{1,4,5}:{(4,1),(15,1),(21,1),(22,1),(85,1),(119,1)}
        13:{2,3,4}:{(24,1),(25,1),(30,1),(68,1)}
        14:{2,3,6}:{(5,1),(11,1),(27,1),(28,1)}
        15:{1,3,5}:{(5,1),(6,1),(12,1),(28,1),(29,1),(36,1)}
        16:{2,4}:{(6,1),(29,1),(30,1)}
        17:{4,6,7}:{(7,1),(8,1),(31,1),(152,1)}
        18:{3,5,7}:{(8,1),(9,1),(10,1),(31,1),(32,1)}
        19:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(130,1),(147,1)}
        20:{2,4,7}:{(10,1),(11,1),(27,1),(32,1),(34,1)}
        21:{1,4,6}:{(11,1),(12,1),(28,1),(33,1),(34,1),(35,1)}
        22:{2,4,5}:{(12,1),(29,1),(35,1),(36,1),(68,1),(105,1),(108,1)}
        23:{3,4,5}:{(38,1),(39,1),(53,1),(92,1)}
        24:{2,3,5}:{(13,1),(39,1),(40,1),(41,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1),(44,1),(85,1),(115,1)}
        26:{1,2,4}:{(16,1),(42,1),(43,1),(44,1),(85,1)}
        27:{2,3,7}:{(14,1),(20,1),(45,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(45,1),(46,1),(52,1)}
        29:{2,5}:{(15,1),(16,1),(46,1)}
        30:{2,3}:{(16,1),(44,1)}
        31:{3,6,7}:{(17,1),(18,1),(48,1),(150,1)}
        32:{2,5,7}:{(18,1),(19,1),(20,1),(48,1),(49,1)}
        33:{1,5,6}:{(19,1),(21,1),(49,1),(50,1),(119,1),(141,1)}
        34:{1,4,7}:{(20,1),(21,1),(45,1),(49,1),(51,1)}
        35:{2,4,6}:{(21,1),(22,1),(46,1),(50,1),(51,1),(52,1),(90,1)}
        36:{3,5}:{(22,1),(52,1),(53,1)}
        37:{4,5,6}:{(55,1),(56,1),(108,1),(134,1)}
        38:{3,4,6}:{(23,1),(56,1),(57,1),(58,1)}
        39:{2,4,5}:{(23,1),(24,1),(58,1),(59,1),(68,1),(105,1)}
        40:{2,3,6}:{(24,1),(58,1),(60,1),(61,1)}
        41:{1,3,5}:{(24,1),(25,1),(59,1),(61,1),(62,1),(98,1)}
        42:{2,4}:{(25,1),(62,1),(63,1)}
        43:{1,2,5}:{(26,1),(29,1),(62,1),(64,1),(65,1)}
        44:{1,3}:{(26,1),(30,1),(63,1)}
        45:{1,3,7}:{(27,1),(28,1),(34,1),(66,1),(72,1)}
        46:{2,6}:{(28,1),(29,1),(66,1)}
        47:{2,3,5}:{(29,1),(30,1),(36,1),(65,1),(67,1),(68,1),(105,1)}
        48:{2,6,7}:{(31,1),(32,1),(69,1),(147,1)}
        49:{1,5,7}:{(32,1),(33,1),(34,1),(69,1),(70,1)}
        50:{2,5,6}:{(33,1),(35,1),(70,1),(71,1),(105,1),(132,1)}
        51:{2,4,7}:{(34,1),(35,1),(66,1),(70,1),(72,1),(107,1)}
        52:{3,6}:{(35,1),(36,1),(72,1)}
        53:{3,4}:{(36,1),(68,1)}
        54:{5,6,7}:{(74,1),(142,1)}
        55:{4,5,7}:{(37,1),(74,1),(75,1)}
        56:{3,5,6}:{(37,1),(38,1),(75,1),(76,1),(92,1),(123,1)}
        57:{3,4,7}:{(38,1),(75,1),(77,1)}
        58:{2,4,6}:{(38,1),(39,1),(40,1),(76,1),(77,1),(78,1)}
        59:{1,4,5}:{(39,1),(41,1),(78,1),(79,1),(85,1),(119,1)}
        60:{2,3,7}:{(40,1),(77,1),(80,1)}
        61:{1,3,6}:{(40,1),(41,1),(78,1),(80,1),(81,1),(114,1)}
        62:{2,5}:{(41,1),(42,1),(81,1)}
        63:{2,3}:{(42,1),(44,1)}
        64:{1,2,6}:{(43,1),(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,5}:{(43,1),(44,1),(47,1),(82,1),(84,1),(85,1),(119,1)}
        66:{2,7}:{(45,1),(46,1)}
        67:{2,3,6}:{(46,1),(47,1),(52,1),(84,1),(86,1),(87,1)}
        68:{2,4}:{(47,1),(53,1),(85,1)}
        69:{1,6,7}:{(48,1),(49,1),(88,1),(141,1)}
        70:{2,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1)}
        71:{3,5,6}:{(50,1),(52,1),(89,1),(90,1),(92,1),(123,1),(142,1)}
        72:{3,7}:{(51,1),(52,1)}
        73:{3,4,6}:{(52,1),(53,1),(87,1),(90,1),(91,1),(92,1),(123,1)}
        74:{4,6,7}:{(54,1),(55,1),(93,1),(134,1)}
        75:{3,5,7}:{(55,1),(56,1),(57,1),(93,1),(94,1)}
        76:{2,5,6}:{(56,1),(58,1),(94,1),(95,1),(105,1),(132,1)}
        77:{2,4,7}:{(57,1),(58,1),(60,1),(94,1),(96,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(95,1),(96,1),(97,1)}
        79:{2,4,5}:{(59,1),(62,1),(97,1),(98,1),(101,1),(130,1),(145,1)}
        80:{1,3,7}:{(60,1),(61,1),(96,1),(99,1),(127,1)}
        81:{2,6}:{(61,1),(62,1),(99,1)}
        82:{2,3,5}:{(62,1),(63,1),(65,1),(98,1),(100,1),(101,1),(130,1)}
        83:{1,2,7}:{(64,1),(66,1),(99,1),(102,1)}
        84:{1,3,6}:{(64,1),(65,1),(67,1),(100,1),(102,1),(103,1)}
        85:{1,4}:{(65,1),(68,1),(101,1)}
        86:{2,3,7}:{(66,1),(67,1),(72,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(73,1),(103,1),(104,1),(105,1),(132,1)}
        88:{2,6,7}:{(69,1),(70,1),(106,1),(132,1)}
        89:{3,5,7}:{(70,1),(71,1),(72,1),(106,1),(107,1),(133,1)}
        90:{4,6}:{(71,1),(107,1),(108,1)}
        91:{3,4,7}:{(72,1),(73,1),(104,1),(107,1),(109,1)}
        92:{3,5}:{(73,1),(105,1),(108,1)}
        93:{3,6,7}:{(74,1),(75,1),(110,1),(123,1)}
        94:{2,5,7}:{(75,1),(76,1),(77,1),(110,1),(111,1)}
        95:{1,5,6}:{(76,1),(78,1),(111,1),(112,1),(119,1),(141,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(113,1)}
        97:{2,4,6}:{(78,1),(79,1),(81,1),(112,1),(113,1),(114,1),(137,1)}
        98:{3,5}:{(79,1),(114,1),(115,1)}
        99:{2,7}:{(80,1),(81,1)}
       100:{2,3,6}:{(81,1),(82,1),(84,1),(114,1),(116,1),(117,1)}
       101:{2,4}:{(82,1),(85,1),(115,1)}
       102:{1,3,7}:{(83,1),(84,1),(86,1),(116,1),(118,1)}
       103:{1,4,6}:{(84,1),(85,1),(87,1),(117,1),(118,1),(119,1),(141,1)}
       104:{2,4,7}:{(86,1),(87,1),(91,1),(118,1),(120,1)}
       105:{2,5}:{(87,1),(92,1),(119,1)}
       106:{3,6,7}:{(88,1),(89,1),(121,1),(123,1)}
       107:{4,7}:{(89,1),(90,1)}
       108:{4,5}:{(90,1),(92,1)}
       109:{3,5,7}:{(91,1),(92,1),(120,1),(122,1),(123,1)}
       110:{2,6,7}:{(93,1),(94,1),(124,1),(132,1)}
       111:{1,5,7}:{(94,1),(95,1),(96,1),(124,1),(125,1)}
       112:{2,5,6}:{(95,1),(97,1),(125,1),(126,1),(130,1),(147,1)}
       113:{2,4,7}:{(96,1),(97,1),(99,1),(125,1),(127,1),(144,1)}
       114:{3,6}:{(97,1),(98,1),(127,1)}
       115:{3,4}:{(98,1),(101,1)}
       116:{2,3,7}:{(99,1),(100,1),(102,1),(127,1),(129,1)}
       117:{2,4,6}:{(100,1),(101,1),(103,1),(128,1),(129,1),(130,1),(147,1)}
       118:{1,4,7}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       119:{1,5}:{(103,1),(105,1),(130,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(131,1),(132,1)}
       121:{4,6,7}:{(106,1),(107,1),(133,1),(134,1)}
       122:{4,5,7}:{(107,1),(108,1),(109,1),(133,1),(134,1)}
       123:{3,6}:{(109,1),(132,1),(134,1)}
       124:{1,6,7}:{(110,1),(111,1),(135,1),(141,1)}
       125:{2,5,7}:{(111,1),(112,1),(113,1),(135,1),(136,1)}
       126:{3,5,6}:{(112,1),(114,1),(136,1),(137,1),(139,1),(150,1),(153,1)}
       127:{3,7}:{(113,1),(114,1)}
       128:{3,4,6}:{(114,1),(115,1),(117,1),(137,1),(138,1),(139,1),(150,1)}
       129:{2,4,7}:{(116,1),(117,1),(118,1),(138,1),(140,1)}
       130:{2,5}:{(117,1),(119,1),(139,1)}
       131:{1,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1)}
       132:{2,6}:{(120,1),(123,1),(141,1)}
       133:{5,7}:{(121,1),(142,1)}
       134:{4,6}:{(122,1),(123,1),(142,1)}
       135:{2,6,7}:{(124,1),(125,1),(143,1),(147,1)}
       136:{3,5,7}:{(125,1),(126,1),(127,1),(143,1),(144,1),(151,1)}
       137:{4,6}:{(126,1),(144,1),(145,1)}
       138:{3,4,7}:{(127,1),(128,1),(129,1),(144,1),(146,1)}
       139:{3,5}:{(128,1),(130,1),(145,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(146,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{3,6,7}:{(135,1),(136,1),(148,1),(150,1)}
       144:{4,7}:{(136,1),(137,1)}
       145:{4,5}:{(137,1),(139,1)}
       146:{3,5,7}:{(138,1),(139,1),(140,1),(149,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1282 :   0:{3,4,5,7}:{(1,1),(2,1),(13,1),(67,1),(103,1),(197,1),(301,1),(376,1),(379,1)}
         1:{2,4,5,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(42,1),(70,1),(150,1),(251,1)}
         2:{3,4,6}:{(0,1),(8,1),(9,1),(417,1),(420,1)}
         3:{2,3,4,7}:{(6,1),(10,1),(11,1),(70,1),(90,1),(150,1),(237,1),(332,1),(336,1)}
         4:{3,4,6,7}:{(2,1),(12,1),(13,1),(15,1),(50,1),(103,1)}
         5:{3,5,6,7}:{(13,1),(14,1),(15,1),(50,1),(375,1),(394,1)}
         6:{2,3,5,7}:{(1,1),(3,1),(16,1),(17,1),(24,1),(379,1),(383,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(18,1),(19,1),(46,1),(66,1),(102,1),(112,1),(202,1)}
         8:{2,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1)}
         9:{3,5,6}:{(2,1),(13,1),(20,1),(21,1),(301,1)}
        10:{1,3,4,7}:{(3,1),(16,1),(22,1),(23,1),(56,1),(61,1),(102,1),(112,1),(186,1),(291,1),(384,1)}
        11:{2,3,4,6}:{(3,1),(17,1),(23,1),(24,1),(55,1),(126,1),(199,1),(209,1),(218,1),(227,1),(305,1),(309,1)}
        12:{2,4,6,7}:{(4,1),(8,1),(25,1),(26,1),(27,1),(70,1)}
        13:{3,5,7}:{(4,1),(9,1),(27,1),(28,1)}
        14:{2,5,6,7}:{(5,1),(27,1),(29,1),(30,1),(330,1),(347,1)}
        15:{4,6,7}:{(5,1),(28,1),(417,1),(433,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(10,1),(31,1),(32,1),(34,1),(41,1),(425,1)}
        17:{2,3,6}:{(6,1),(8,1),(32,1),(420,1),(424,1)}
        18:{2,4,5,7}:{(7,1),(31,1),(34,1),(35,1),(72,1),(80,1),(97,1),(140,1),(143,1),(157,1),(163,1)}
        19:{1,4,6}:{(7,1),(8,1),(32,1),(35,1),(36,1)}
        20:{2,5,6}:{(8,1),(9,1),(27,1),(36,1),(251,1)}
        21:{4,5,6}:{(9,1),(28,1),(351,1),(417,1)}
        22:{2,4,7}:{(10,1),(31,1),(39,1),(40,1),(342,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(32,1),(40,1),(41,1),(83,1),(86,1),(92,1),(153,1),(159,1),(172,1),(177,1),(262,1),(278,1),(359,1)}
        24:{2,3,5}:{(11,1),(41,1),(42,1),(251,1),(354,1),(358,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(43,1),(44,1),(50,1),(110,1)}
        26:{1,4,6,7}:{(12,1),(19,1),(43,1),(45,1),(46,1),(102,1)}
        27:{2,5,7}:{(12,1),(13,1),(20,1),(46,1)}
        28:{4,5,7}:{(13,1),(15,1),(21,1)}
        29:{1,5,6,7}:{(14,1),(46,1),(48,1),(49,1),(283,1),(298,1)}
        30:{2,4,6,7}:{(14,1),(15,1),(47,1),(49,1),(50,1),(110,1),(378,1)}
        31:{2,5,7}:{(16,1),(22,1),(53,1),(65,1)}
        32:{1,3,6}:{(16,1),(17,1),(19,1),(53,1),(57,1),(461,1)}
        33:{2,3,5,6}:{(17,1),(20,1),(24,1),(44,1),(54,1),(55,1),(60,1),(124,1),(209,1)}
        34:{3,5,7}:{(18,1),(56,1),(57,1),(121,1),(134,1),(186,1)}
        35:{2,4,6}:{(18,1),(19,1),(53,1),(57,1),(58,1),(122,1)}
        36:{1,5,6}:{(19,1),(20,1),(46,1),(58,1),(202,1)}
        37:{2,4,5,6}:{(20,1),(21,1),(47,1),(55,1),(59,1),(60,1),(124,1),(304,1),(317,1),(378,1),(393,1),(468,1)}
        38:{1,2,4,7}:{(22,1),(51,1),(61,1),(62,1),(112,1),(125,1),(384,1),(385,1)}
        39:{2,3,7}:{(22,1),(61,1),(64,1),(186,1)}
        40:{2,4,6}:{(22,1),(23,1),(53,1),(64,1),(65,1),(133,1),(315,1),(328,1)}
        41:{1,3,5}:{(23,1),(24,1),(65,1),(66,1),(121,1),(134,1),(202,1),(404,1)}
        42:{2,4,5}:{(24,1),(55,1),(66,1),(67,1),(218,1)}
        43:{1,3,6,7}:{(25,1),(26,1),(32,1),(68,1),(69,1),(71,1),(149,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(33,1),(69,1),(70,1),(74,1),(145,1),(237,1)}
        45:{2,4,6,7}:{(26,1),(35,1),(68,1),(71,1),(72,1),(140,1),(143,1)}
        46:{1,5,7}:{(26,1),(27,1),(36,1),(72,1)}
        47:{2,4,5,7}:{(27,1),(28,1),(30,1),(37,1),(70,1),(73,1),(74,1),(145,1),(345,1),(347,1),(433,1)}
        48:{2,5,6,7}:{(29,1),(72,1),(75,1),(76,1),(234,1),(245,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(73,1),(76,1),(77,1),(149,1),(334,1)}
        50:{3,6,7}:{(30,1),(74,1),(420,1)}
        51:{1,2,5,7}:{(31,1),(38,1),(78,1),(79,1),(93,1),(167,1),(425,1)}
        52:{2,3,5,7}:{(31,1),(34,1),(39,1),(78,1),(80,1),(81,1),(96,1),(157,1)}
        53:{2,6}:{(31,1),(32,1)}
        54:{1,3,5,6}:{(32,1),(33,1),(36,1),(41,1),(69,1),(82,1),(83,1),(87,1),(159,1),(166,1),(262,1)}
        55:{2,4,6}:{(33,1),(42,1),(70,1),(83,1),(84,1)}
        56:{3,4,7}:{(34,1),(80,1),(86,1),(143,1),(177,1)}
        57:{3,6}:{(34,1),(35,1)}
        58:{2,5,6}:{(35,1),(36,1),(72,1),(87,1),(157,1)}
        59:{1,4,5,6}:{(36,1),(37,1),(73,1),(83,1),(88,1),(89,1),(166,1),(255,1),(265,1),(334,1),(346,1)}
        60:{3,5,6}:{(37,1),(74,1),(84,1),(354,1),(365,1),(420,1)}
        61:{1,3,7}:{(38,1),(39,1),(90,1),(92,1)}
        62:{1,2,4,6}:{(38,1),(40,1),(79,1),(92,1),(93,1),(153,1),(168,1),(172,1),(359,1),(360,1),(373,1)}
        63:{2,3,4,7}:{(39,1),(80,1),(91,1),(94,1),(95,1),(236,1),(276,1),(336,1),(447,1)}
        64:{2,3,6}:{(39,1),(40,1),(92,1),(96,1),(159,1),(374,1)}
        65:{2,5}:{(40,1),(41,1)}
        66:{1,4,5}:{(41,1),(42,1),(83,1),(97,1),(163,1),(172,1)}
        67:{3,4,5}:{(42,1),(84,1),(270,1),(354,1),(496,1)}
        68:{2,6,7}:{(43,1),(53,1),(101,1)}
        69:{1,3,5,7}:{(43,1),(44,1),(46,1),(54,1),(101,1),(102,1),(105,1),(186,1),(192,1),(291,1)}
        70:{2,4,7}:{(44,1),(55,1),(102,1),(103,1)}
        71:{3,6,7}:{(45,1),(57,1),(105,1),(186,1)}
        72:{2,5,7}:{(45,1),(46,1),(58,1),(105,1)}
        73:{1,4,5,7}:{(46,1),(47,1),(49,1),(59,1),(102,1),(106,1),(107,1),(192,1),(295,1),(298,1)}
        74:{3,5,7}:{(47,1),(50,1),(60,1),(103,1),(392,1)}
        75:{3,5,6,7}:{(48,1),(105,1),(108,1),(109,1),(188,1),(194,1)}
        76:{2,4,6,7}:{(48,1),(49,1),(106,1),(108,1),(109,1),(110,1),(288,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(107,1),(109,1),(110,1),(382,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(61,1),(111,1),(112,1),(113,1),(129,1),(202,1)}
        79:{1,2,6}:{(51,1),(53,1),(113,1),(216,1),(461,1)}
        80:{2,4,7}:{(52,1),(56,1),(112,1),(116,1),(133,1)}
        81:{2,3,6}:{(52,1),(53,1),(57,1),(113,1),(116,1)}
        82:{2,5,6}:{(53,1),(54,1),(65,1),(101,1),(118,1),(315,1)}
        83:{1,4,6}:{(54,1),(55,1),(66,1),(102,1),(118,1),(122,1)}
        84:{3,4,6}:{(55,1),(60,1),(67,1),(103,1),(468,1)}
        85:{3,4,5,7}:{(56,1),(115,1),(120,1),(121,1),(189,1),(211,1),(226,1),(289,1),(327,1)}
        86:{3,4,6}:{(56,1),(57,1),(116,1),(121,1),(122,1)}
        87:{3,5,6}:{(57,1),(58,1),(105,1),(121,1),(122,1)}
        88:{2,4,5,6}:{(58,1),(59,1),(106,1),(118,1),(122,1),(123,1),(124,1),(193,1),(207,1),(214,1),(288,1),(297,1)}
        89:{1,3,5,6}:{(59,1),(60,1),(107,1),(119,1),(123,1),(124,1),(308,1),(382,1)}
        90:{2,3,7}:{(61,1),(125,1),(126,1),(409,1)}
        91:{1,3,4,7}:{(61,1),(63,1),(112,1),(125,1),(127,1),(128,1),(197,1),(322,1),(384,1),(409,1),(479,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(126,1),(129,1),(415,1)}
        93:{1,2,5}:{(62,1),(65,1),(129,1),(202,1),(217,1),(404,1)}
        94:{2,3,5,7}:{(63,1),(115,1),(127,1),(131,1),(132,1),(289,1),(383,1)}
        95:{2,3,4,6}:{(63,1),(64,1),(116,1),(128,1),(131,1),(132,1),(133,1),(208,1),(225,1),(309,1),(321,1),(410,1)}
        96:{2,3,5}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        97:{2,4,5}:{(65,1),(66,1),(118,1),(133,1),(134,1)}
        98:{1,3,4,5}:{(66,1),(67,1),(119,1),(134,1),(135,1),(213,1),(222,1),(228,1),(308,1),(316,1),(408,1)}
        99:{1,2,6,7}:{(68,1),(79,1),(136,1),(137,1),(149,1),(247,1),(267,1),(424,1),(490,1),(491,1),(527,1)}
       100:{2,3,6,7}:{(68,1),(71,1),(81,1),(136,1),(138,1),(139,1),(339,1),(424,1),(527,1),(528,1),(545,1)}
       101:{2,5,7}:{(68,1),(69,1),(82,1),(140,1),(342,1)}
       102:{1,4,7}:{(69,1),(70,1),(83,1),(140,1),(143,1)}
       103:{3,4,7}:{(70,1),(74,1),(84,1),(433,1)}
       104:{3,4,6,7}:{(71,1),(86,1),(138,1),(142,1),(143,1),(236,1),(240,1),(339,1),(545,1),(546,1),(551,1)}
       105:{3,5,7}:{(71,1),(72,1),(87,1),(143,1)}
       106:{2,4,5,7}:{(72,1),(73,1),(76,1),(88,1),(140,1),(143,1),(144,1),(145,1),(146,1),(242,1),(245,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(77,1),(89,1),(141,1),(144,1),(145,1)}
       108:{4,6,7}:{(75,1),(143,1),(146,1),(240,1)}
       109:{3,6,7}:{(76,1),(144,1),(339,1)}
       110:{2,6,7}:{(77,1),(145,1),(149,1),(424,1)}
       111:{2,3,5,7}:{(78,1),(90,1),(150,1),(151,1),(167,1),(169,1),(248,1),(251,1)}
       112:{1,4,7}:{(78,1),(80,1),(150,1),(153,1),(172,1)}
       113:{1,3,6}:{(78,1),(79,1),(81,1),(151,1),(153,1)}
       114:{1,2,5,6}:{(79,1),(82,1),(93,1),(137,1),(154,1),(155,1),(166,1),(266,1),(268,1),(358,1),(360,1),(424,1),(442,1),(443,1),(491,1),(501,1)}
       115:{2,4,5,7}:{(80,1),(85,1),(94,1),(152,1),(156,1),(157,1),(176,1),(258,1),(276,1)}
       116:{2,4,6}:{(80,1),(81,1),(86,1),(153,1),(157,1)}
       117:{2,3,5,6}:{(81,1),(82,1),(87,1),(96,1),(139,1),(154,1),(157,1),(158,1),(159,1),(234,1),(257,1),(260,1),(339,1),(358,1),(424,1),(501,1),(502,1),(528,1),(533,1),(544,1),(547,1)}
       118:{2,4,6}:{(82,1),(83,1),(97,1),(140,1),(159,1)}
       119:{1,3,4,6}:{(83,1),(84,1),(89,1),(98,1),(141,1),(159,1),(160,1),(164,1),(262,1),(265,1),(365,1)}
       120:{3,4,6}:{(85,1),(156,1),(162,1),(240,1),(339,1)}
       121:{3,5}:{(86,1),(157,1),(163,1)}
       122:{4,6}:{(87,1),(143,1),(163,1)}
       123:{3,5,6}:{(88,1),(144,1),(159,1),(164,1),(260,1),(339,1)}
       124:{2,5,6}:{(89,1),(145,1),(160,1),(166,1),(358,1),(424,1)}
       125:{2,4,7}:{(90,1),(91,1),(167,1),(168,1),(504,1)}
       126:{2,3,6}:{(90,1),(92,1),(168,1),(169,1),(367,1),(450,1)}
       127:{1,3,5,7}:{(91,1),(94,1),(152,1),(167,1),(170,1),(171,1),(248,1),(425,1)}
       128:{1,3,4,6}:{(91,1),(92,1),(95,1),(153,1),(168,1),(170,1),(171,1),(172,1),(249,1),(270,1),(272,1),(359,1),(367,1),(369,1),(448,1)}
       129:{1,3,5}:{(92,1),(93,1),(96,1),(169,1),(172,1)}
       130:{1,2,4,5}:{(93,1),(97,1),(155,1),(172,1),(173,1),(179,1),(255,1),(269,1),(274,1),(279,1),(358,1),(364,1),(372,1),(373,1),(443,1),(449,1),(499,1),(503,1)}
       131:{2,3,6}:{(94,1),(156,1),(170,1),(339,1),(424,1)}
       132:{2,3,5}:{(95,1),(157,1),(171,1),(176,1),(260,1),(358,1)}
       133:{2,4}:{(96,1),(172,1),(177,1)}
       134:{3,5}:{(97,1),(159,1),(177,1)}
       135:{2,4,5}:{(98,1),(160,1),(178,1),(179,1),(274,1),(279,1),(358,1)}
       136:{1,3,6,7}:{(99,1),(100,1),(113,1),(180,1),(181,1),(182,1),(382,1),(461,1),(513,1)}
       137:{1,2,5,7}:{(99,1),(101,1),(114,1),(182,1),(183,1),(192,1),(296,1),(318,1),(383,1),(385,1),(476,1),(520,1)}
       138:{2,4,6,7}:{(100,1),(104,1),(116,1),(181,1),(184,1),(185,1),(288,1),(540,1)}
       139:{2,3,5,7}:{(100,1),(101,1),(105,1),(117,1),(182,1),(184,1),(185,1),(186,1),(286,1),(289,1),(383,1),(520,1),(542,1),(548,1)}
       140:{2,4,7}:{(101,1),(102,1),(118,1),(186,1)}
       141:{1,3,4,7}:{(102,1),(103,1),(107,1),(119,1),(186,1),(187,1),(190,1),(291,1),(295,1),(392,1)}
       142:{3,5,7}:{(104,1),(121,1),(184,1),(188,1),(189,1),(550,1)}
       143:{4,7}:{(105,1),(122,1)}
       144:{3,5,7}:{(106,1),(109,1),(123,1),(186,1),(190,1)}
       145:{2,5,7}:{(107,1),(110,1),(124,1),(187,1),(192,1)}
       146:{4,5,7}:{(108,1),(193,1),(194,1)}
       147:{3,4,6,7}:{(108,1),(109,1),(190,1),(194,1),(195,1),(293,1)}
       148:{2,3,6,7}:{(109,1),(110,1),(191,1),(195,1),(196,1),(387,1)}
       149:{1,6,7}:{(110,1),(192,1),(461,1)}
       150:{2,4,7}:{(111,1),(112,1),(197,1),(199,1),(218,1)}
       151:{2,3,6}:{(111,1),(113,1),(199,1),(216,1),(300,1)}
       152:{1,4,5,7}:{(112,1),(115,1),(127,1),(198,1),(201,1),(202,1),(221,1),(306,1),(322,1)}
       153:{1,4,6}:{(112,1),(113,1),(116,1),(199,1),(202,1)}
       154:{1,3,5,6}:{(113,1),(114,1),(117,1),(129,1),(182,1),(200,1),(202,1),(203,1),(204,1),(283,1),(308,1),(310,1),(382,1),(404,1),(461,1),(477,1),(513,1),(541,1)}
       155:{1,2,4,6}:{(114,1),(118,1),(130,1),(183,1),(203,1),(204,1),(210,1),(309,1),(315,1),(317,1),(319,1),(414,1),(480,1),(518,1)}
       156:{2,4,6}:{(115,1),(120,1),(131,1),(201,1),(206,1)}
       157:{2,5}:{(116,1),(121,1),(202,1)}
       158:{2,4,6}:{(117,1),(122,1),(133,1),(185,1),(203,1),(207,1),(208,1),(521,1),(549,1)}
       159:{3,6}:{(118,1),(134,1),(186,1)}
       160:{2,4,6}:{(119,1),(124,1),(135,1),(187,1),(209,1),(210,1),(315,1)}
       161:{3,4,6,7}:{(120,1),(205,1),(211,1),(292,1),(327,1),(386,1)}
       162:{3,5,6}:{(120,1),(121,1),(206,1),(211,1),(212,1)}
       163:{4,5}:{(121,1),(122,1)}
       164:{3,4,6}:{(122,1),(123,1),(190,1),(213,1),(214,1)}
       165:{2,3,5,6}:{(123,1),(124,1),(191,1),(209,1),(214,1),(215,1),(297,1),(313,1),(387,1)}
       166:{1,5,6}:{(124,1),(192,1),(210,1),(404,1),(461,1)}
       167:{2,5,7}:{(125,1),(127,1),(216,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(128,1),(216,1),(217,1),(218,1),(412,1),(480,1)}
       169:{2,3,5}:{(126,1),(129,1),(217,1),(218,1),(320,1)}
       170:{1,3,6}:{(127,1),(131,1),(201,1),(216,1),(300,1),(461,1)}
       171:{1,3,5}:{(128,1),(132,1),(202,1),(217,1),(221,1),(301,1),(320,1),(404,1)}
       172:{1,4}:{(129,1),(133,1),(218,1)}
       173:{1,3,5}:{(130,1),(134,1),(204,1),(222,1),(223,1),(320,1),(408,1),(415,1),(519,1)}
       174:{2,3,6,7}:{(131,1),(205,1),(219,1),(224,1),(386,1),(460,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(206,1),(220,1),(224,1),(225,1),(312,1),(403,1),(410,1)}
       176:{2,4,5}:{(132,1),(133,1),(221,1),(225,1),(226,1)}
       177:{3,4}:{(133,1),(134,1)}
       178:{2,3,5}:{(134,1),(135,1),(209,1),(227,1),(228,1),(408,1)}
       179:{1,4,5}:{(135,1),(210,1),(228,1),(325,1),(404,1)}
       180:{2,3,6,7}:{(136,1),(151,1),(229,1),(230,1),(247,1),(267,1),(348,1),(349,1),(420,1),(424,1),(493,1)}
       181:{1,4,6,7}:{(136,1),(138,1),(153,1),(229,1),(231,1),(232,1),(334,1),(530,1)}
       182:{1,3,5,7}:{(136,1),(137,1),(139,1),(154,1),(230,1),(231,1),(232,1),(233,1),(337,1),(425,1)}
       183:{1,2,4,7}:{(137,1),(140,1),(155,1),(232,1),(233,1),(238,1),(336,1),(342,1),(345,1),(366,1),(451,1),(504,1),(532,1)}
       184:{2,5,7}:{(138,1),(142,1),(157,1),(231,1),(234,1),(547,1)}
       185:{2,4,7}:{(139,1),(143,1),(158,1),(232,1),(236,1),(551,1)}
       186:{3,7}:{(140,1),(159,1)}
       187:{2,4,7}:{(141,1),(145,1),(160,1),(237,1),(238,1),(342,1)}
       188:{3,5,6}:{(142,1),(234,1),(240,1),(339,1)}
       189:{4,5,7}:{(142,1),(143,1),(163,1),(240,1),(551,1),(552,1)}
       190:{3,4,7}:{(143,1),(144,1),(164,1),(242,1)}
       191:{2,3,5,7}:{(144,1),(145,1),(148,1),(165,1),(237,1),(242,1),(243,1),(245,1)}
       192:{1,5,7}:{(145,1),(149,1),(166,1),(238,1)}
       193:{4,5,6}:{(146,1),(240,1),(244,1),(552,1)}
       194:{3,5,7}:{(146,1),(147,1),(244,1),(245,1)}
       195:{2,4,6,7}:{(147,1),(148,1),(242,1),(245,1),(246,1),(343,1)}
       196:{1,3,6,7}:{(148,1),(149,1),(243,1),(246,1),(247,1),(348,1),(427,1)}
       197:{3,4,7}:{(150,1),(248,1),(249,1),(270,1),(434,1)}
       198:{2,4,5,7}:{(150,1),(152,1),(167,1),(248,1),(250,1),(251,1),(269,1),(351,1),(352,1),(366,1),(434,1)}
       199:{2,4,6}:{(150,1),(151,1),(153,1),(249,1),(251,1)}
       200:{2,3,5,6}:{(151,1),(154,1),(169,1),(230,1),(251,1),(252,1),(257,1),(266,1),(268,1),(330,1),(350,1),(354,1),(358,1),(365,1),(367,1),(420,1),(424,1),(432,1),(445,1),(493,1),(531,1)}
       201:{1,4,6}:{(152,1),(156,1),(170,1),(250,1),(254,1)}
       202:{1,5}:{(153,1),(157,1),(251,1)}
       203:{1,4,6}:{(154,1),(158,1),(172,1),(232,1),(252,1),(255,1),(503,1)}
       204:{1,3,6}:{(155,1),(159,1),(173,1),(233,1),(257,1),(365,1),(367,1),(533,1)}
       205:{2,4,6,7}:{(156,1),(161,1),(174,1),(253,1),(258,1),(276,1)}
       206:{2,5,6}:{(156,1),(157,1),(162,1),(254,1),(258,1)}
       207:{2,4,5}:{(157,1),(158,1),(163,1),(255,1),(260,1),(358,1),(547,1),(552,1)}
       208:{3,4,6}:{(158,1),(159,1),(177,1),(236,1),(260,1),(339,1),(533,1),(534,1)}
       209:{2,3,6}:{(159,1),(160,1),(178,1),(237,1),(262,1),(365,1)}
       210:{1,4,6}:{(160,1),(166,1),(179,1),(238,1),(262,1)}
       211:{3,5,7}:{(161,1),(162,1),(258,1),(263,1)}
       212:{4,5,6}:{(162,1),(163,1),(240,1),(263,1)}
       213:{3,4,5}:{(163,1),(164,1),(260,1),(264,1),(534,1)}
       214:{2,4,6}:{(164,1),(165,1),(242,1),(264,1),(265,1)}
       215:{1,3,5,6}:{(165,1),(166,1),(243,1),(262,1),(265,1),(266,1),(346,1),(362,1),(365,1),(427,1),(432,1)}
       216:{2,6}:{(167,1),(170,1)}
       217:{2,5}:{(168,1),(171,1)}
       218:{2,4}:{(169,1),(172,1),(270,1)}
       219:{1,3,6,7}:{(170,1),(174,1),(253,1),(267,1),(271,1),(349,1),(490,1)}
       220:{1,3,5,6}:{(170,1),(171,1),(175,1),(254,1),(268,1),(271,1),(272,1),(350,1),(367,1),(442,1),(448,1)}
       221:{1,4,5}:{(171,1),(172,1),(176,1),(269,1),(272,1),(351,1)}
       222:{1,3,4}:{(172,1),(173,1),(177,1),(270,1),(274,1),(446,1),(503,1),(534,1)}
       223:{2,3,5}:{(173,1),(257,1),(274,1),(275,1),(279,1),(358,1),(374,1),(449,1),(450,1)}
       224:{2,3,5,7}:{(174,1),(175,1),(258,1),(271,1),(276,1),(361,1),(441,1),(447,1)}
       225:{2,4,6}:{(175,1),(176,1),(272,1),(276,1),(277,1)}
       226:{3,4,5}:{(176,1),(177,1),(260,1),(277,1),(552,1)}
       227:{2,3,4}:{(177,1),(178,1),(274,1),(278,1),(446,1),(450,1)}
       228:{1,3,5}:{(178,1),(179,1),(262,1),(278,1),(279,1)}
       229:{2,4,6,7}:{(180,1),(181,1),(199,1),(280,1),(281,1),(282,1),(378,1),(515,1)}
       230:{2,3,5,7}:{(180,1),(182,1),(200,1),(281,1),(282,1),(286,1),(296,1),(318,1),(379,1),(383,1),(392,1),(394,1),(395,1),(409,1)}
       231:{1,5,7}:{(181,1),(184,1),(202,1),(281,1),(283,1),(541,1)}
       232:{1,4,7}:{(182,1),(185,1),(203,1),(282,1)}
       233:{1,3,7}:{(183,1),(186,1),(204,1),(286,1),(392,1),(409,1),(542,1)}
       234:{2,5,6}:{(184,1),(188,1),(283,1),(288,1)}
       235:{2,4,5,7}:{(184,1),(185,1),(189,1),(207,1),(284,1),(288,1),(289,1),(383,1)}
       236:{3,4,7}:{(185,1),(186,1),(208,1),(289,1),(542,1)}
       237:{2,3,7}:{(186,1),(187,1),(209,1),(291,1),(392,1)}
       238:{1,4,7}:{(187,1),(192,1),(210,1),(291,1)}
       239:{3,5,6,7}:{(188,1),(211,1),(287,1),(292,1),(386,1),(548,1)}
       240:{4,6}:{(188,1),(189,1)}
       241:{3,4,5,7}:{(189,1),(190,1),(194,1),(213,1),(289,1),(293,1),(294,1),(539,1),(550,1)}
       242:{2,4,7}:{(190,1),(191,1),(214,1),(295,1)}
       243:{1,3,5,7}:{(191,1),(192,1),(196,1),(215,1),(291,1),(295,1),(296,1),(298,1),(392,1),(394,1)}
       244:{3,5,6}:{(193,1),(194,1),(293,1),(297,1),(550,1)}
       245:{2,5,7}:{(194,1),(195,1),(297,1),(298,1)}
       246:{1,4,6,7}:{(195,1),(196,1),(295,1),(298,1),(299,1),(390,1)}
       247:{2,6,7}:{(196,1),(296,1),(464,1)}
       248:{3,5,7}:{(197,1),(198,1),(300,1),(301,1),(320,1),(409,1)}
       249:{3,4,6}:{(197,1),(199,1),(300,1),(301,1),(396,1)}
       250:{2,4,6}:{(198,1),(201,1),(216,1),(300,1),(303,1),(396,1)}
       251:{2,5}:{(199,1),(202,1),(301,1)}
       252:{2,4,6}:{(200,1),(203,1),(218,1),(282,1),(304,1),(305,1),(396,1),(468,1),(478,1)}
       253:{1,4,6,7}:{(201,1),(205,1),(219,1),(302,1),(306,1),(322,1)}
       254:{1,5,6}:{(201,1),(202,1),(206,1),(303,1),(306,1)}
       255:{1,4,5}:{(202,1),(203,1),(207,1),(304,1),(308,1),(404,1),(541,1)}
       256:{1,3,4,6}:{(203,1),(204,1),(208,1),(222,1),(285,1),(305,1),(308,1),(309,1),(382,1)}
       257:{2,3,6}:{(204,1),(223,1),(286,1),(309,1),(310,1),(315,1),(480,1)}
       258:{2,5,7}:{(205,1),(206,1),(211,1),(306,1)}
       259:{2,4,5,6}:{(206,1),(207,1),(212,1),(225,1),(288,1),(307,1),(311,1),(312,1),(403,1),(518,1),(536,1),(549,1)}
       260:{3,5}:{(207,1),(208,1)}
       261:{2,3,4,6}:{(208,1),(209,1),(214,1),(227,1),(290,1),(309,1),(313,1),(314,1),(387,1),(475,1),(521,1),(540,1)}
       262:{1,3,6}:{(209,1),(210,1),(228,1),(291,1),(315,1)}
       263:{4,5,7}:{(211,1),(212,1),(292,1)}
       264:{2,4,5}:{(213,1),(214,1),(313,1),(316,1),(521,1)}
       265:{1,4,6}:{(214,1),(215,1),(295,1),(316,1),(317,1),(468,1)}
       266:{2,5,6}:{(215,1),(296,1),(315,1),(317,1),(406,1),(464,1)}
       267:{2,6,7}:{(216,1),(219,1),(318,1)}
       268:{2,5,6}:{(216,1),(217,1),(220,1),(318,1),(319,1),(480,1)}
       269:{2,4,5}:{(217,1),(218,1),(221,1),(319,1),(320,1)}
       270:{3,4}:{(218,1),(320,1)}
       271:{1,3,5,7}:{(219,1),(220,1),(224,1),(306,1),(318,1),(322,1),(395,1),(409,1),(476,1),(479,1)}
       272:{1,4,6}:{(220,1),(221,1),(225,1),(319,1),(322,1),(396,1)}
       273:{1,3,4,5}:{(221,1),(222,1),(226,1),(308,1),(320,1),(323,1),(324,1),(397,1),(411,1),(471,1),(519,1)}
       274:{2,4}:{(222,1),(223,1),(325,1)}
       275:{1,3,5}:{(223,1),(310,1),(325,1),(326,1),(404,1),(415,1)}
       276:{2,4,7}:{(224,1),(225,1),(322,1),(327,1)}
       277:{3,4,6}:{(225,1),(226,1),(312,1),(327,1),(549,1)}
       278:{1,3,4}:{(227,1),(228,1),(325,1),(328,1),(415,1)}
       279:{2,5}:{(228,1),(315,1),(328,1)}
       280:{3,4,6,7}:{(229,1),(249,1),(329,1),(332,1),(348,1),(349,1),(417,1),(420,1),(433,1),(434,1),(495,1)}
       281:{2,5,7}:{(229,1),(231,1),(251,1),(329,1),(330,1),(531,1)}
       282:{2,4,7}:{(230,1),(232,1),(252,1),(332,1),(433,1),(434,1)}
       283:{1,5,6}:{(231,1),(234,1),(330,1),(334,1)}
       284:{1,4,5,7}:{(231,1),(232,1),(235,1),(255,1),(331,1),(334,1),(335,1),(425,1)}
       285:{1,3,4,7}:{(232,1),(233,1),(236,1),(256,1),(332,1),(335,1),(336,1)}
       286:{2,3,7}:{(233,1),(257,1),(336,1),(337,1),(342,1),(504,1)}
       287:{2,5,6,7}:{(234,1),(239,1),(258,1),(333,1),(338,1),(543,1)}
       288:{2,4,6}:{(234,1),(235,1),(240,1),(334,1),(339,1),(424,1)}
       289:{3,5,7}:{(235,1),(236,1),(260,1),(339,1)}
       290:{2,3,4,7}:{(236,1),(237,1),(242,1),(261,1),(336,1),(340,1),(341,1),(489,1),(529,1)}
       291:{1,3,7}:{(237,1),(238,1),(262,1),(342,1)}
       292:{4,6,7}:{(239,1),(240,1),(263,1),(551,1)}
       293:{3,4,6}:{(240,1),(241,1),(244,1),(339,1),(343,1)}
       294:{2,4,5,7}:{(241,1),(242,1),(245,1),(264,1),(340,1),(343,1),(344,1),(529,1),(547,1)}
       295:{1,4,7}:{(242,1),(243,1),(265,1),(345,1),(433,1)}
       296:{2,5,7}:{(243,1),(247,1),(266,1),(342,1),(345,1)}
       297:{2,5,6}:{(244,1),(245,1),(343,1),(346,1),(547,1)}
       298:{1,5,7}:{(245,1),(246,1),(346,1),(347,1)}
       299:{2,4,6,7}:{(246,1),(247,1),(345,1),(347,1),(348,1),(430,1),(433,1)}
       300:{3,6}:{(248,1),(250,1)}
       301:{3,5}:{(249,1),(251,1),(351,1)}
       302:{2,4,6,7}:{(250,1),(253,1),(267,1),(349,1),(352,1),(366,1),(434,1)}
       303:{2,5,6}:{(250,1),(251,1),(254,1),(350,1),(352,1)}
       304:{2,4,5}:{(251,1),(252,1),(255,1),(351,1),(354,1),(358,1),(496,1),(531,1)}
       305:{3,4,6}:{(252,1),(270,1),(332,1),(354,1),(365,1),(367,1),(420,1),(446,1)}
       306:{1,5,7}:{(253,1),(254,1),(258,1),(352,1)}
       307:{1,4,5,6}:{(254,1),(255,1),(259,1),(272,1),(334,1),(353,1),(356,1),(357,1),(442,1),(498,1),(523,1)}
       308:{1,3,5}:{(255,1),(256,1),(260,1),(354,1),(358,1)}
       309:{2,4,6}:{(256,1),(257,1),(274,1),(336,1),(358,1),(359,1),(424,1)}
       310:{1,3,6}:{(257,1),(275,1),(337,1),(359,1),(360,1)}
       311:{2,4,5,7}:{(258,1),(259,1),(263,1),(276,1),(338,1),(356,1),(361,1),(441,1),(532,1),(543,1),(551,1)}
       312:{3,5,6}:{(259,1),(260,1),(277,1),(339,1),(361,1),(533,1)}
       313:{2,3,5}:{(260,1),(261,1),(264,1),(358,1),(362,1),(547,1)}
       314:{1,3,4,6}:{(261,1),(262,1),(265,1),(278,1),(341,1),(359,1),(362,1),(363,1),(365,1),(427,1),(444,1),(446,1),(495,1),(503,1),(530,1)}
       315:{2,6}:{(262,1),(279,1),(342,1)}
       316:{1,4,5}:{(264,1),(265,1),(362,1),(364,1),(496,1),(503,1)}
       317:{2,4,6}:{(265,1),(266,1),(345,1),(364,1),(365,1)}
       318:{2,5,7}:{(267,1),(268,1),(271,1),(366,1),(504,1)}
       319:{2,4,6}:{(268,1),(269,1),(272,1),(366,1),(367,1)}
       320:{3,5}:{(269,1),(270,1),(367,1)}
       321:{2,3,4}:{(270,1),(274,1),(368,1),(369,1),(374,1),(534,1)}
       322:{1,4,7}:{(271,1),(272,1),(276,1),(366,1),(434,1)}
       323:{1,3,4,6}:{(272,1),(273,1),(277,1),(357,1),(367,1),(370,1),(371,1),(435,1),(448,1),(498,1),(533,1)}
       324:{2,4,5}:{(273,1),(274,1),(358,1),(368,1),(371,1),(372,1),(449,1)}
       325:{1,4}:{(274,1),(275,1)}
       326:{1,2,5}:{(275,1),(279,1),(360,1),(373,1),(449,1)}
       327:{3,4,7}:{(276,1),(277,1),(361,1),(551,1)}
       328:{2,4}:{(278,1),(279,1),(374,1)}
       329:{3,5,7}:{(280,1),(281,1),(301,1),(375,1),(376,1),(516,1)}
       330:{2,5,6}:{(281,1),(283,1),(375,1),(378,1)}
       331:{2,4,5,7}:{(281,1),(282,1),(284,1),(304,1),(376,1),(378,1),(379,1),(383,1)}
       332:{3,4,7}:{(282,1),(305,1),(379,1),(392,1),(409,1)}
       333:{1,5,6,7}:{(283,1),(287,1),(306,1),(377,1),(381,1),(535,1)}
       334:{1,4,6}:{(283,1),(284,1),(288,1),(378,1),(382,1),(461,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(289,1),(308,1),(379,1),(382,1),(383,1)}
       336:{2,4,7}:{(285,1),(286,1),(309,1),(383,1),(384,1)}
       337:{1,3,7}:{(286,1),(310,1),(384,1),(385,1)}
       338:{2,4,6,7}:{(287,1),(288,1),(292,1),(311,1),(381,1),(386,1),(460,1)}
       339:{3,6}:{(288,1),(289,1)}
       340:{2,3,5,7}:{(289,1),(290,1),(294,1),(313,1),(383,1),(387,1),(388,1)}
       341:{1,3,4,7}:{(290,1),(291,1),(295,1),(314,1),(384,1),(388,1),(389,1),(392,1),(463,1),(467,1),(514,1)}
       342:{2,7}:{(291,1),(315,1)}
       343:{2,4,6}:{(293,1),(294,1),(297,1),(387,1),(390,1)}
       344:{1,4,5,7}:{(294,1),(295,1),(298,1),(316,1),(388,1),(390,1),(391,1),(514,1),(541,1)}
       345:{2,4,7}:{(295,1),(296,1),(317,1),(392,1)}
       346:{1,5,6}:{(297,1),(298,1),(390,1),(393,1),(541,1)}
       347:{2,5,7}:{(298,1),(299,1),(393,1),(394,1)}
       348:{3,6,7}:{(299,1),(392,1),(394,1),(466,1)}
       349:{3,6,7}:{(300,1),(302,1),(395,1),(409,1)}
       350:{3,5,6}:{(300,1),(301,1),(303,1),(395,1),(396,1)}
       351:{4,5}:{(301,1),(396,1)}
       352:{2,5,7}:{(302,1),(303,1),(306,1),(395,1)}
       353:{2,4,5,6}:{(303,1),(304,1),(307,1),(319,1),(378,1),(396,1),(398,1),(399,1),(403,1),(452,1),(470,1),(506,1)}
       354:{3,5}:{(304,1),(305,1)}
       355:{2,3,4,6}:{(305,1),(309,1),(321,1),(380,1),(400,1),(401,1),(407,1),(410,1),(457,1),(470,1),(478,1),(515,1)}
       356:{1,4,5,7}:{(306,1),(307,1),(311,1),(322,1),(381,1),(398,1),(402,1),(476,1),(517,1),(535,1)}
       357:{1,3,5,6}:{(307,1),(308,1),(312,1),(323,1),(382,1),(399,1),(402,1),(403,1)}
       358:{2,5}:{(308,1),(309,1),(404,1)}
       359:{1,4,6}:{(309,1),(310,1),(325,1),(384,1),(404,1),(461,1)}
       360:{1,2,6}:{(310,1),(315,1),(326,1),(385,1),(480,1)}
       361:{3,5,7}:{(311,1),(312,1),(327,1),(386,1),(542,1)}
       362:{1,3,5}:{(313,1),(314,1),(316,1),(404,1),(406,1),(408,1),(516,1),(541,1)}
       363:{2,4,6}:{(314,1),(315,1),(328,1),(389,1),(406,1),(407,1),(464,1),(478,1)}
       364:{2,4,5}:{(316,1),(317,1),(406,1),(408,1),(478,1)}
       365:{3,6}:{(317,1),(392,1),(408,1)}
       366:{2,4,7}:{(318,1),(319,1),(322,1),(409,1)}
       367:{3,6}:{(319,1),(320,1),(409,1)}
       368:{2,3,5}:{(320,1),(321,1),(324,1),(410,1),(411,1),(519,1)}
       369:{1,3,4}:{(321,1),(325,1),(411,1),(412,1),(415,1)}
       370:{1,3,4,7}:{(322,1),(323,1),(327,1),(402,1),(409,1),(413,1),(469,1),(479,1),(517,1),(542,1)}
       371:{2,4,6}:{(323,1),(324,1),(403,1),(410,1),(413,1),(414,1),(480,1)}
       372:{1,4,5}:{(324,1),(325,1),(404,1),(411,1),(414,1)}
       373:{1,2,4}:{(325,1),(326,1),(328,1),(412,1),(415,1)}
       374:{2,3}:{(328,1),(415,1)}
       375:{3,5,6}:{(329,1),(330,1),(417,1),(420,1)}
       376:{4,5,7}:{(329,1),(351,1),(417,1),(433,1),(434,1),(496,1)}
       377:{2,5,6,7}:{(330,1),(333,1),(352,1),(416,1),(419,1),(522,1)}
       378:{2,4,6}:{(330,1),(331,1),(334,1),(417,1),(420,1),(424,1)}
       379:{3,5,7}:{(331,1),(332,1),(354,1),(420,1)}
       380:{2,3,4,7}:{(332,1),(336,1),(355,1),(421,1),(422,1),(429,1),(447,1),(494,1),(497,1)}
       381:{1,4,6,7}:{(333,1),(334,1),(338,1),(356,1),(419,1),(423,1),(490,1)}
       382:{1,3,6}:{(334,1),(335,1),(339,1),(420,1),(424,1)}
       383:{2,5,7}:{(335,1),(336,1),(358,1),(424,1),(425,1)}
       384:{1,4,7}:{(336,1),(337,1),(359,1),(425,1)}
       385:{1,2,7}:{(337,1),(342,1),(360,1),(504,1)}
       386:{3,6,7}:{(338,1),(339,1),(361,1)}
       387:{2,3,6}:{(339,1),(340,1),(343,1),(424,1),(427,1)}
       388:{1,3,5,7}:{(340,1),(341,1),(344,1),(362,1),(425,1),(427,1),(428,1),(431,1)}
       389:{2,4,7}:{(341,1),(342,1),(363,1),(428,1),(429,1)}
       390:{1,4,6}:{(343,1),(344,1),(346,1),(427,1),(430,1)}
       391:{2,4,5,7}:{(344,1),(345,1),(347,1),(364,1),(428,1),(430,1),(431,1),(433,1),(494,1),(496,1),(531,1)}
       392:{3,7}:{(345,1),(365,1)}
       393:{2,5,6}:{(346,1),(347,1),(430,1),(432,1),(531,1)}
       394:{3,5,7}:{(347,1),(348,1),(432,1),(433,1)}
       395:{3,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{4,6}:{(350,1),(351,1),(434,1)}
       397:{3,4,5}:{(351,1),(354,1),(435,1),(436,1),(446,1)}
       398:{2,4,5,7}:{(352,1),(353,1),(356,1),(366,1),(419,1),(434,1),(437,1),(441,1),(481,1),(497,1),(522,1)}
       399:{3,5,6}:{(353,1),(354,1),(367,1),(420,1),(435,1),(437,1)}
       400:{2,3,5}:{(354,1),(355,1),(358,1),(436,1),(439,1),(531,1)}
       401:{1,3,4,6}:{(355,1),(359,1),(369,1),(422,1),(439,1),(440,1),(444,1),(448,1),(487,1),(498,1),(503,1),(530,1),(533,1),(534,1),(546,1)}
       402:{1,3,5,7}:{(356,1),(357,1),(361,1),(370,1),(423,1),(437,1),(441,1)}
       403:{2,5,6}:{(357,1),(358,1),(371,1),(424,1),(441,1),(442,1)}
       404:{1,5}:{(358,1),(359,1)}
       405:{1,2,4,6}:{(359,1),(360,1),(363,1),(373,1),(426,1),(440,1),(443,1),(444,1),(491,1),(503,1),(530,1)}
       406:{2,5}:{(362,1),(363,1)}
       407:{2,3,6}:{(363,1),(365,1),(374,1),(429,1),(444,1),(445,1)}
       408:{3,5}:{(364,1),(365,1),(446,1)}
       409:{3,7}:{(366,1),(367,1)}
       410:{2,3,6}:{(367,1),(368,1),(371,1),(447,1),(448,1),(533,1)}
       411:{1,3,5}:{(368,1),(369,1),(372,1),(448,1),(449,1)}
       412:{2,4}:{(369,1),(449,1),(450,1)}
       413:{2,4,7}:{(370,1),(371,1),(441,1),(447,1),(451,1),(504,1)}
       414:{1,4,6}:{(371,1),(372,1),(442,1),(448,1),(451,1)}
       415:{1,3}:{(373,1),(374,1),(450,1)}
       416:{3,5,6,7}:{(375,1),(377,1),(395,1),(453,1),(456,1),(505,1)}
       417:{4,6}:{(375,1),(376,1)}
       418:{3,4,5,7}:{(376,1),(379,1),(397,1),(454,1),(455,1),(467,1),(469,1),(505,1),(516,1)}
       419:{2,4,6,7}:{(377,1),(378,1),(381,1),(398,1),(453,1),(456,1),(460,1)}
       420:{3,6}:{(378,1),(379,1)}
       421:{2,3,5,7}:{(379,1),(380,1),(383,1),(400,1),(455,1),(457,1),(458,1)}
       422:{1,3,4,7}:{(380,1),(384,1),(401,1),(458,1),(459,1),(463,1),(479,1),(514,1),(517,1),(539,1),(542,1)}
       423:{1,3,6,7}:{(381,1),(382,1),(386,1),(402,1),(456,1),(460,1)}
       424:{2,6}:{(382,1),(383,1),(461,1)}
       425:{1,5,7}:{(383,1),(384,1),(404,1),(461,1)}
       426:{1,2,4,7}:{(384,1),(385,1),(389,1),(405,1),(459,1),(462,1),(463,1),(514,1)}
       427:{1,3,6}:{(387,1),(388,1),(390,1),(461,1),(464,1),(466,1)}
       428:{2,5,7}:{(388,1),(389,1),(406,1),(464,1)}
       429:{2,3,7}:{(389,1),(392,1),(407,1),(463,1)}
       430:{2,4,6}:{(390,1),(391,1),(393,1),(464,1),(466,1),(468,1)}
       431:{3,5,7}:{(391,1),(392,1),(408,1),(466,1),(467,1),(516,1)}
       432:{3,5,6}:{(393,1),(394,1),(466,1),(468,1),(516,1)}
       433:{4,7}:{(394,1),(468,1)}
       434:{4,7}:{(395,1),(396,1)}
       435:{3,4,6}:{(396,1),(397,1),(399,1),(469,1),(470,1)}
       436:{2,4,5}:{(397,1),(400,1),(470,1),(471,1),(478,1)}
       437:{3,5,7}:{(398,1),(399,1),(409,1),(456,1),(469,1)}
       438:{2,3,5,6}:{(399,1),(400,1),(403,1),(410,1),(457,1),(470,1),(472,1),(473,1),(506,1)}
       439:{1,3,5}:{(400,1),(401,1),(404,1),(471,1),(474,1),(519,1),(541,1),(550,1)}
       440:{2,4,6}:{(401,1),(412,1),(459,1),(474,1),(475,1),(480,1),(511,1),(521,1)}
       441:{2,5,7}:{(402,1),(403,1),(413,1),(460,1),(476,1)}
       442:{1,5,6}:{(403,1),(404,1),(414,1),(461,1),(476,1)}
       443:{1,2,5}:{(404,1),(405,1),(406,1),(474,1),(477,1),(541,1)}
       444:{1,3,6}:{(405,1),(407,1),(415,1),(463,1),(475,1),(477,1)}
       445:{2,3,5}:{(406,1),(407,1),(408,1),(477,1),(478,1)}
       446:{3,4}:{(408,1),(478,1)}
       447:{2,3,7}:{(409,1),(410,1),(413,1),(479,1),(542,1)}
       448:{1,3,6}:{(410,1),(411,1),(414,1),(479,1),(480,1)}
       449:{2,5}:{(411,1),(412,1),(480,1)}
       450:{2,3}:{(412,1),(415,1)}
       451:{1,4,7}:{(413,1),(414,1),(476,1),(479,1)}
       452:{4,5,6}:{(417,1),(481,1),(482,1),(496,1)}
       453:{4,6,7}:{(416,1),(417,1),(434,1),(481,1)}
       454:{3,4,6}:{(417,1),(418,1),(420,1),(482,1),(484,1)}
       455:{2,4,5,7}:{(418,1),(421,1),(436,1),(484,1),(485,1),(494,1),(497,1),(522,1),(531,1)}
       456:{3,6,7}:{(419,1),(420,1),(437,1)}
       457:{2,3,6}:{(420,1),(421,1),(424,1),(484,1),(487,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(425,1),(439,1),(485,1),(487,1),(488,1),(526,1)}
       459:{2,4,7}:{(422,1),(440,1),(488,1),(489,1),(504,1)}
       460:{2,6,7}:{(423,1),(424,1),(441,1),(490,1)}
       461:{1,6}:{(424,1),(425,1)}
       462:{1,2,5,7}:{(425,1),(426,1),(428,1),(443,1),(488,1),(491,1),(492,1)}
       463:{1,3,7}:{(426,1),(429,1),(444,1),(489,1)}
       464:{2,6}:{(427,1),(428,1)}
       465:{2,3,5,7}:{(428,1),(429,1),(431,1),(445,1),(492,1),(493,1),(494,1),(531,1)}
       466:{3,6}:{(430,1),(431,1)}
       467:{3,4,7}:{(431,1),(433,1),(446,1),(494,1),(495,1)}
       468:{4,6}:{(432,1),(433,1),(496,1)}
       469:{3,4,7}:{(434,1),(435,1),(437,1),(497,1)}
       470:{2,4,6}:{(435,1),(436,1),(438,1),(497,1),(498,1)}
       471:{1,4,5}:{(436,1),(439,1),(498,1),(499,1),(503,1),(552,1)}
       472:{2,3,5,7}:{(437,1),(438,1),(441,1),(447,1),(486,1),(497,1),(500,1),(522,1)}
       473:{1,3,5,6}:{(438,1),(439,1),(442,1),(448,1),(487,1),(498,1),(500,1),(501,1),(523,1),(533,1),(544,1)}
       474:{2,5}:{(439,1),(440,1)}
       475:{2,3,6}:{(440,1),(444,1),(450,1),(489,1),(502,1),(533,1)}
       476:{1,5,7}:{(441,1),(442,1),(451,1),(490,1)}
       477:{1,3,5}:{(443,1),(444,1),(445,1),(502,1),(503,1)}
       478:{2,4}:{(445,1),(446,1),(503,1)}
       479:{1,3,7}:{(447,1),(448,1),(451,1),(504,1)}
       480:{2,6}:{(448,1),(449,1),(504,1)}
       481:{4,5,7}:{(452,1),(453,1),(505,1)}
       482:{3,5,6}:{(452,1),(454,1),(505,1),(506,1),(516,1)}
       483:{3,4,6,7}:{(453,1),(454,1),(456,1),(469,1),(505,1),(507,1)}
       484:{2,4,6}:{(454,1),(455,1),(457,1),(506,1),(508,1)}
       485:{1,4,5,7}:{(455,1),(458,1),(471,1),(508,1),(509,1),(514,1),(517,1),(535,1),(541,1)}
       486:{2,3,6,7}:{(456,1),(457,1),(460,1),(472,1),(507,1),(510,1)}
       487:{1,3,6}:{(457,1),(458,1),(461,1),(508,1),(511,1),(538,1)}
       488:{2,5,7}:{(458,1),(459,1),(474,1),(511,1)}
       489:{2,3,7}:{(459,1),(463,1),(475,1),(542,1)}
       490:{1,6,7}:{(460,1),(461,1),(476,1)}
       491:{1,2,6}:{(461,1),(462,1),(464,1),(511,1),(513,1)}
       492:{1,3,5,7}:{(462,1),(463,1),(465,1),(477,1),(512,1),(513,1),(514,1),(541,1)}
       493:{2,3,6}:{(464,1),(465,1),(466,1),(513,1),(515,1)}
       494:{2,4,7}:{(465,1),(467,1),(478,1),(514,1),(515,1)}
       495:{3,4,6}:{(466,1),(467,1),(468,1),(515,1),(516,1)}
       496:{4,5}:{(468,1),(516,1)}
       497:{2,4,7}:{(469,1),(470,1),(472,1),(517,1)}
       498:{1,4,6}:{(470,1),(471,1),(473,1),(517,1),(518,1),(549,1)}
       499:{2,4,5}:{(471,1),(474,1),(518,1),(519,1),(521,1)}
       500:{1,3,5,7}:{(472,1),(473,1),(476,1),(479,1),(510,1),(517,1),(520,1),(535,1),(542,1),(548,1)}
       501:{2,5,6}:{(473,1),(474,1),(480,1),(511,1),(518,1),(520,1)}
       502:{2,3,5}:{(474,1),(475,1),(477,1),(519,1),(521,1)}
       503:{1,4}:{(477,1),(478,1),(521,1)}
       504:{2,7}:{(479,1),(480,1)}
       505:{3,5,7}:{(481,1),(482,1),(483,1),(522,1)}
       506:{2,5,6}:{(482,1),(484,1),(522,1),(523,1),(531,1)}
       507:{2,4,6,7}:{(483,1),(484,1),(486,1),(497,1),(522,1),(524,1)}
       508:{1,4,6}:{(484,1),(485,1),(487,1),(523,1),(525,1)}
       509:{2,4,5,7}:{(485,1),(488,1),(499,1),(525,1),(526,1),(529,1),(532,1),(543,1),(547,1),(551,1),(552,1)}
       510:{1,3,6,7}:{(486,1),(487,1),(490,1),(500,1),(524,1),(527,1),(545,1)}
       511:{2,6}:{(487,1),(488,1)}
       512:{2,3,5,7}:{(488,1),(489,1),(492,1),(502,1),(526,1),(528,1),(529,1),(547,1)}
       513:{1,3,6}:{(491,1),(492,1),(493,1),(528,1),(530,1)}
       514:{1,4,7}:{(492,1),(494,1),(503,1),(529,1),(530,1)}
       515:{2,4,6}:{(493,1),(494,1),(495,1),(530,1),(531,1)}
       516:{3,5}:{(495,1),(496,1),(531,1)}
       517:{1,4,7}:{(497,1),(498,1),(500,1),(532,1),(551,1)}
       518:{2,4,6}:{(498,1),(499,1),(501,1),(532,1),(533,1)}
       519:{3,5}:{(499,1),(533,1),(534,1)}
       520:{2,5,7}:{(500,1),(501,1),(504,1),(527,1),(532,1)}
       521:{2,4}:{(502,1),(503,1),(534,1)}
       522:{2,5,7}:{(505,1),(506,1),(507,1),(535,1)}
       523:{1,5,6}:{(506,1),(508,1),(535,1),(536,1),(541,1)}
       524:{1,4,6,7}:{(507,1),(508,1),(510,1),(517,1),(535,1),(537,1)}
       525:{2,4,6}:{(508,1),(509,1),(511,1),(536,1),(538,1),(549,1)}
       526:{3,5,7}:{(509,1),(519,1),(538,1),(539,1),(542,1),(550,1)}
       527:{2,6,7}:{(510,1),(511,1),(520,1)}
       528:{2,3,6}:{(511,1),(512,1),(513,1),(538,1),(540,1)}
       529:{2,4,7}:{(512,1),(514,1),(521,1),(539,1),(540,1)}
       530:{1,4,6}:{(513,1),(514,1),(515,1),(540,1),(541,1)}
       531:{2,5}:{(515,1),(516,1),(541,1)}
       532:{2,4,7}:{(517,1),(518,1),(520,1),(542,1)}
       533:{3,6}:{(518,1),(519,1),(542,1)}
       534:{3,4}:{(519,1),(521,1)}
       535:{1,5,7}:{(522,1),(523,1),(524,1),(543,1)}
       536:{2,5,6}:{(523,1),(525,1),(543,1),(544,1),(547,1)}
       537:{2,4,6,7}:{(524,1),(525,1),(527,1),(532,1),(543,1),(545,1),(551,1)}
       538:{3,6}:{(525,1),(526,1)}
       539:{3,4,7}:{(526,1),(529,1),(534,1),(546,1),(551,1)}
       540:{2,4,6}:{(528,1),(529,1),(530,1),(546,1),(547,1)}
       541:{1,5}:{(530,1),(531,1),(547,1)}
       542:{3,7}:{(532,1),(533,1)}
       543:{2,5,7}:{(535,1),(536,1),(537,1),(548,1)}
       544:{3,5,6}:{(536,1),(538,1),(548,1),(549,1),(550,1)}
       545:{3,6,7}:{(537,1),(538,1),(542,1),(548,1)}
       546:{3,4,6}:{(538,1),(539,1),(540,1),(549,1),(550,1)}
       547:{2,5}:{(540,1),(541,1),(550,1)}
       548:{3,5,7}:{(543,1),(544,1),(545,1),(551,1)}
       549:{4,6}:{(544,1),(551,1),(552,1)}
       550:{3,5}:{(546,1),(547,1),(552,1)}
       551:{4,7}:{(548,1),(549,1)}
       552:{4,5}:{(549,1),(550,1)}

1283 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(21,1),(50,1),(51,1)}
         1:{2,3,5,7}:{(3,1),(5,1),(6,1),(18,1),(24,1),(27,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(10,1),(33,1),(70,1)}
         3:{1,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(31,1),(37,1),(39,1),(67,1),(69,1)}
         4:{1,2,6}:{(0,1),(11,1),(71,1)}
         5:{2,4,7}:{(1,1),(10,1),(12,1),(14,1),(73,1)}
         6:{2,3,6}:{(1,1),(11,1),(14,1),(40,1),(71,1)}
         7:{2,3,5,7}:{(3,1),(15,1),(16,1),(18,1),(44,1),(47,1),(51,1),(53,1)}
         8:{1,3,7}:{(2,1),(18,1),(20,1),(87,1),(125,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(20,1),(21,1),(23,1),(52,1),(56,1)}
        10:{1,4,7}:{(3,1),(5,1),(15,1),(23,1),(56,1),(86,1)}
        11:{1,3,6}:{(3,1),(4,1),(6,1),(16,1),(23,1),(84,1)}
        12:{3,4,7}:{(5,1),(24,1),(25,1),(91,1),(94,1)}
        13:{2,4,5,7}:{(5,1),(22,1),(24,1),(26,1),(27,1),(51,1),(61,1),(62,1),(90,1),(94,1),(112,1)}
        14:{2,4,6}:{(5,1),(6,1),(23,1),(25,1),(27,1)}
        15:{2,4,7}:{(7,1),(10,1),(28,1),(30,1),(73,1)}
        16:{2,3,6}:{(7,1),(11,1),(30,1),(63,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(118,1),(123,1)}
        18:{2,3,7}:{(8,1),(31,1),(33,1),(34,1),(101,1),(119,1),(123,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(12,1),(28,1),(33,1),(35,1),(36,1),(100,1),(105,1),(119,1)}
        20:{1,3,6}:{(8,1),(9,1),(34,1),(37,1),(124,1)}
        21:{1,2,5}:{(9,1),(37,1),(39,1),(72,1),(118,1)}
        22:{1,4,5,7}:{(10,1),(13,1),(29,1),(35,1),(38,1),(39,1),(67,1),(76,1),(77,1),(99,1),(105,1),(114,1)}
        23:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(39,1)}
        24:{3,5,7}:{(12,1),(13,1),(40,1),(41,1),(104,1),(119,1)}
        25:{3,4,6}:{(12,1),(14,1),(40,1),(41,1),(79,1)}
        26:{2,4,6}:{(13,1),(38,1),(40,1),(43,1),(71,1),(79,1)}
        27:{2,5}:{(14,1),(39,1),(41,1)}
        28:{3,4,7}:{(15,1),(44,1),(45,1),(91,1),(106,1)}
        29:{2,4,5,7}:{(15,1),(22,1),(44,1),(46,1),(47,1),(51,1),(82,1),(83,1),(90,1),(106,1),(112,1)}
        30:{2,4,6}:{(15,1),(16,1),(23,1),(45,1),(47,1)}
        31:{1,3,7}:{(17,1),(18,1),(48,1),(49,1),(111,1)}
        32:{1,2,6}:{(17,1),(49,1),(50,1),(121,1)}
        33:{2,4,7}:{(18,1),(19,1),(48,1),(51,1),(52,1),(110,1)}
        34:{2,3,6}:{(18,1),(20,1),(49,1),(52,1),(53,1),(113,1),(121,1)}
        35:{1,3,5,7}:{(19,1),(22,1),(24,1),(44,1),(51,1),(54,1),(55,1),(109,1),(120,1)}
        36:{1,3,4,6}:{(19,1),(20,1),(23,1),(25,1),(45,1),(52,1),(54,1),(55,1),(56,1),(91,1),(93,1),(113,1)}
        37:{1,3,5}:{(20,1),(21,1),(53,1),(56,1),(111,1),(122,1)}
        38:{1,4,6}:{(22,1),(26,1),(46,1),(54,1),(58,1),(84,1)}
        39:{1,5}:{(23,1),(27,1),(47,1)}
        40:{3,6}:{(24,1),(26,1)}
        41:{3,5}:{(25,1),(27,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(57,1),(59,1),(62,1),(88,1),(94,1),(112,1)}
        43:{2,5,6}:{(26,1),(27,1),(58,1),(60,1),(62,1)}
        44:{3,5,7}:{(28,1),(29,1),(63,1),(64,1),(104,1),(119,1)}
        45:{3,4,6}:{(28,1),(30,1),(63,1),(64,1),(96,1)}
        46:{2,4,6}:{(29,1),(38,1),(63,1),(66,1),(71,1),(96,1)}
        47:{2,5}:{(30,1),(39,1),(64,1)}
        48:{1,4,7}:{(31,1),(33,1),(67,1),(68,1),(117,1)}
        49:{1,3,6}:{(31,1),(32,1),(34,1),(68,1),(69,1)}
        50:{1,2,5}:{(32,1),(69,1),(70,1),(116,1)}
        51:{2,5,7}:{(33,1),(35,1),(67,1),(71,1),(72,1),(116,1),(123,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(68,1),(71,1),(72,1),(73,1)}
        53:{2,3,5}:{(34,1),(37,1),(69,1),(72,1),(73,1),(101,1),(104,1),(116,1)}
        54:{1,3,6}:{(35,1),(38,1),(40,1),(63,1),(71,1)}
        55:{1,3,5}:{(36,1),(39,1),(41,1),(64,1),(72,1),(76,1),(104,1)}
        56:{1,4}:{(37,1),(73,1)}
        57:{1,4,6,7}:{(38,1),(42,1),(65,1),(74,1),(77,1),(97,1),(105,1),(114,1)}
        58:{1,5,6}:{(38,1),(39,1),(43,1),(66,1),(77,1)}
        59:{3,6,7}:{(40,1),(42,1),(78,1),(119,1)}
        60:{3,5,6}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        61:{4,5}:{(41,1),(79,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(78,1)}
        63:{3,6}:{(44,1),(46,1)}
        64:{3,5}:{(45,1),(47,1),(82,1)}
        65:{2,4,6,7}:{(46,1),(57,1),(80,1),(83,1),(88,1),(106,1),(112,1)}
        66:{2,5,6}:{(46,1),(47,1),(58,1),(81,1),(83,1)}
        67:{1,5,7}:{(48,1),(51,1),(84,1),(85,1),(122,1),(125,1)}
        68:{1,4,6}:{(48,1),(49,1),(52,1),(84,1),(85,1),(86,1)}
        69:{1,3,5}:{(49,1),(50,1),(53,1),(85,1),(86,1),(87,1)}
        70:{1,2,4}:{(50,1),(86,1),(87,1),(110,1)}
        71:{2,6}:{(51,1),(54,1),(84,1)}
        72:{2,5}:{(52,1),(55,1),(85,1)}
        73:{2,4}:{(53,1),(56,1),(86,1),(91,1)}
        74:{1,3,6,7}:{(54,1),(57,1),(59,1),(80,1),(88,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(58,1),(60,1),(81,1),(89,1),(92,1),(93,1),(113,1)}
        76:{1,4,5}:{(55,1),(56,1),(61,1),(82,1),(90,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{3,5,7}:{(59,1),(60,1),(62,1),(94,1)}
        79:{4,6}:{(60,1),(61,1),(94,1)}
        80:{3,6,7}:{(63,1),(65,1),(95,1),(119,1)}
        81:{3,5,6}:{(63,1),(64,1),(66,1),(95,1),(96,1)}
        82:{4,5}:{(64,1),(96,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(95,1)}
        84:{1,6}:{(67,1),(71,1)}
        85:{1,5}:{(68,1),(72,1)}
        86:{1,4}:{(69,1),(73,1)}
        87:{1,3}:{(70,1),(101,1)}
        88:{2,6,7}:{(71,1),(74,1),(97,1),(102,1),(123,1)}
        89:{2,5,6}:{(71,1),(72,1),(75,1),(98,1),(102,1),(103,1)}
        90:{2,4,5}:{(72,1),(73,1),(76,1),(99,1),(103,1),(104,1),(116,1)}
        91:{3,4}:{(73,1),(104,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(77,1),(78,1),(95,1),(102,1),(105,1),(119,1)}
        93:{1,4,6}:{(75,1),(76,1),(79,1),(96,1),(103,1),(105,1),(124,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{3,5,7}:{(80,1),(81,1),(83,1),(106,1)}
        96:{4,6}:{(81,1),(82,1),(106,1)}
        97:{1,6,7}:{(84,1),(88,1),(107,1),(125,1)}
        98:{1,5,6}:{(84,1),(85,1),(89,1),(107,1),(108,1)}
        99:{1,4,5}:{(85,1),(86,1),(90,1),(108,1),(109,1)}
       100:{1,3,4}:{(86,1),(87,1),(91,1),(109,1),(110,1)}
       101:{2,3}:{(87,1),(110,1),(111,1)}
       102:{2,5,7}:{(88,1),(89,1),(92,1),(107,1),(112,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(108,1),(112,1),(113,1),(121,1)}
       104:{3,5}:{(90,1),(91,1),(113,1)}
       105:{1,4,7}:{(92,1),(93,1),(94,1),(106,1),(112,1),(125,1)}
       106:{4,7}:{(95,1),(96,1)}
       107:{1,5,7}:{(97,1),(98,1),(102,1),(114,1)}
       108:{1,4,6}:{(98,1),(99,1),(103,1),(114,1),(115,1)}
       109:{1,3,5}:{(99,1),(100,1),(104,1),(115,1),(116,1)}
       110:{2,4}:{(100,1),(101,1),(116,1),(117,1)}
       111:{1,3}:{(101,1),(117,1),(118,1)}
       112:{2,4,7}:{(102,1),(103,1),(105,1),(114,1),(119,1),(123,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{1,4,7}:{(107,1),(108,1),(112,1),(120,1)}
       115:{1,3,6}:{(108,1),(109,1),(113,1),(120,1),(121,1)}
       116:{2,5}:{(109,1),(110,1),(121,1),(122,1)}
       117:{1,4}:{(110,1),(111,1),(122,1)}
       118:{1,2}:{(111,1)}
       119:{3,7}:{(112,1),(113,1)}
       120:{1,3,7}:{(114,1),(115,1),(119,1),(123,1)}
       121:{2,6}:{(115,1),(116,1),(123,1),(124,1)}
       122:{1,5}:{(116,1),(117,1),(124,1)}
       123:{2,7}:{(120,1),(121,1),(125,1)}
       124:{1,6}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1284 :   0:{1,2,6,7}:{(3,1),(4,1),(131,1),(215,1),(216,1),(224,1),(282,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(71,1),(131,1),(282,1),(283,1),(342,1)}
         2:{3,4,6,7}:{(5,1),(7,1),(28,1),(30,1),(71,1),(342,1),(343,1),(386,1)}
         3:{1,3,6,7}:{(0,1),(1,1),(8,1),(10,1),(11,1),(94,1),(172,1),(257,1)}
         4:{1,2,5,7}:{(0,1),(9,1),(11,1),(12,1),(95,1),(97,1),(253,1),(262,1),(316,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(10,1),(14,1),(15,1),(46,1),(320,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(47,1),(95,1),(316,1),(366,1),(370,1)}
         7:{3,5,7}:{(2,1),(14,1),(16,1),(17,1),(369,1)}
         8:{2,3,6,7}:{(3,1),(18,1),(19,1),(119,1),(131,1),(224,1),(225,1),(229,1)}
         9:{1,2,5,6}:{(4,1),(20,1),(21,1),(127,1),(129,1),(131,1),(212,1),(213,1),(216,1),(222,1),(280,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(18,1),(22,1),(23,1),(63,1),(297,1)}
        11:{1,3,5,7}:{(3,1),(4,1),(6,1),(19,1),(20,1),(22,1),(23,1),(24,1),(66,1),(132,1)}
        12:{1,2,4,7}:{(4,1),(21,1),(23,1),(24,1),(65,1),(290,1),(298,1),(344,1),(353,1)}
        13:{2,3,5,6}:{(6,1),(20,1),(25,1),(26,1),(61,1),(68,1),(71,1),(127,1),(131,1),(280,1),(281,1),(283,1),(341,1),(345,1),(350,1)}
        14:{2,5,7}:{(5,1),(7,1),(22,1),(26,1),(350,1)}
        15:{2,4,7}:{(6,1),(23,1),(25,1),(28,1),(386,1)}
        16:{3,5,6}:{(7,1),(26,1),(30,1),(71,1)}
        17:{4,5,7}:{(7,1),(30,1),(386,1),(387,1)}
        18:{2,4,6,7}:{(8,1),(10,1),(32,1),(34,1),(35,1),(84,1),(266,1)}
        19:{2,3,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(42,1),(85,1),(95,1),(262,1),(267,1),(333,1)}
        20:{1,3,5,6}:{(9,1),(11,1),(13,1),(33,1),(37,1),(38,1),(39,1),(90,1),(92,1),(94,1),(169,1),(172,1),(255,1),(257,1),(332,1)}
        21:{1,2,4,6}:{(9,1),(12,1),(36,1),(37,1),(38,1),(91,1),(250,1),(260,1),(314,1),(324,1)}
        22:{1,5,7}:{(10,1),(14,1),(34,1),(39,1),(332,1)}
        23:{1,4,7}:{(11,1),(15,1),(35,1),(37,1)}
        24:{1,3,7}:{(12,1),(38,1),(42,1),(333,1),(370,1)}
        25:{2,4,6}:{(13,1),(15,1),(37,1),(43,1),(44,1),(318,1),(367,1)}
        26:{2,5,6}:{(14,1),(16,1),(39,1),(46,1)}
        27:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(43,1),(46,1),(47,1),(95,1)}
        28:{3,4,7}:{(15,1),(44,1),(47,1),(370,1)}
        29:{3,5,6,7}:{(16,1),(45,1),(50,1),(103,1),(107,1),(366,1),(401,1)}
        30:{4,6}:{(16,1),(17,1)}
        31:{3,4,5,7}:{(17,1),(47,1),(51,1),(52,1),(98,1),(107,1),(175,1),(312,1),(369,1),(400,1),(402,1)}
        32:{3,4,6,7}:{(18,1),(53,1),(57,1),(113,1),(119,1),(229,1),(230,1),(305,1)}
        33:{2,3,5,6}:{(19,1),(20,1),(54,1),(55,1),(61,1),(116,1),(119,1),(127,1),(131,1),(222,1),(223,1),(225,1),(228,1),(299,1),(304,1)}
        34:{2,5,7}:{(18,1),(22,1),(53,1),(55,1),(304,1)}
        35:{2,4,7}:{(19,1),(23,1),(54,1),(57,1),(305,1)}
        36:{1,2,4,5}:{(21,1),(58,1),(59,1),(123,1),(127,1),(209,1),(213,1),(220,1),(278,1),(285,1),(288,1),(295,1)}
        37:{1,4,6}:{(20,1),(23,1),(25,1),(54,1),(59,1),(295,1)}
        38:{1,3,6}:{(21,1),(24,1),(58,1),(61,1),(299,1),(345,1)}
        39:{1,5,6}:{(22,1),(26,1),(55,1),(63,1)}
        40:{1,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(59,1),(63,1),(64,1),(132,1)}
        41:{1,3,4,7}:{(23,1),(24,1),(28,1),(57,1),(60,1),(64,1),(65,1)}
        42:{2,3,7}:{(24,1),(61,1),(65,1),(66,1),(353,1)}
        43:{2,4,5}:{(25,1),(59,1),(68,1),(127,1),(350,1),(387,1)}
        44:{3,4,6}:{(25,1),(28,1),(68,1),(71,1),(345,1),(346,1)}
        45:{2,5,6,7}:{(26,1),(29,1),(62,1),(70,1),(144,1),(340,1),(392,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(63,1),(71,1),(131,1)}
        47:{3,5,7}:{(27,1),(28,1),(68,1),(71,1)}
        48:{2,3,4,7}:{(28,1),(65,1),(69,1),(72,1),(73,1),(204,1),(218,1),(284,1),(286,1),(389,1),(395,1)}
        49:{4,5,6}:{(30,1),(74,1),(75,1),(387,1),(408,1)}
        50:{4,6,7}:{(29,1),(30,1),(74,1),(386,1),(408,1)}
        51:{3,4,6}:{(30,1),(31,1),(71,1),(75,1),(77,1),(408,1),(409,1)}
        52:{2,4,5,7}:{(31,1),(72,1),(77,1),(78,1),(135,1),(144,1),(218,1),(284,1),(350,1)}
        53:{3,5,7}:{(32,1),(34,1),(79,1),(80,1),(270,1)}
        54:{2,4,6}:{(33,1),(35,1),(37,1),(81,1),(82,1),(264,1),(268,1)}
        55:{2,5,6}:{(34,1),(39,1),(79,1),(84,1)}
        56:{2,4,5,7}:{(34,1),(35,1),(40,1),(80,1),(81,1),(84,1),(85,1),(95,1)}
        57:{3,4,7}:{(35,1),(82,1),(85,1),(333,1)}
        58:{1,3,5}:{(36,1),(38,1),(87,1),(88,1),(261,1),(315,1),(322,1)}
        59:{1,4,5}:{(37,1),(43,1),(81,1),(90,1),(169,1),(332,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(41,1),(44,1),(82,1),(87,1),(90,1),(91,1),(94,1)}
        61:{2,3,6}:{(38,1),(42,1),(88,1),(91,1),(92,1),(324,1)}
        62:{1,5,6,7}:{(39,1),(45,1),(83,1),(93,1),(185,1),(308,1),(383,1)}
        63:{1,4,6}:{(39,1),(40,1),(46,1),(84,1),(94,1),(172,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(47,1),(85,1),(90,1),(94,1),(95,1)}
        65:{2,4,7}:{(41,1),(42,1),(91,1),(95,1),(96,1)}
        66:{1,3,7}:{(42,1),(92,1),(96,1),(97,1)}
        67:{2,4,5,6}:{(43,1),(46,1),(49,1),(89,1),(99,1),(100,1),(108,1),(168,1),(176,1),(309,1),(314,1),(367,1),(373,1),(403,1)}
        68:{3,5}:{(43,1),(44,1)}
        69:{2,3,4,6}:{(44,1),(48,1),(91,1),(101,1),(102,1),(104,1),(162,1),(176,1),(242,1),(246,1),(318,1),(320,1),(371,1),(379,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(50,1),(93,1),(99,1),(103,1),(171,1),(403,1)}
        71:{3,6}:{(46,1),(47,1)}
        72:{2,3,5,7}:{(47,1),(48,1),(52,1),(95,1),(101,1),(104,1),(105,1),(402,1),(406,1)}
        73:{1,3,4,7}:{(48,1),(96,1),(102,1),(105,1),(106,1),(174,1),(189,1),(258,1),(259,1),(323,1),(333,1),(404,1)}
        74:{4,5,7}:{(49,1),(50,1),(107,1)}
        75:{3,5,6}:{(49,1),(51,1),(107,1),(108,1),(369,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(103,1),(107,1),(109,1),(175,1)}
        77:{2,4,6}:{(51,1),(52,1),(104,1),(108,1),(110,1)}
        78:{1,4,5,7}:{(52,1),(105,1),(110,1),(111,1),(177,1),(185,1),(258,1),(259,1),(332,1)}
        79:{3,5,6}:{(53,1),(55,1),(113,1),(119,1)}
        80:{4,5,7}:{(53,1),(113,1),(305,1),(306,1)}
        81:{2,4,5}:{(54,1),(59,1),(116,1),(127,1),(304,1),(306,1)}
        82:{3,4,6}:{(54,1),(57,1),(116,1),(119,1),(299,1),(300,1)}
        83:{2,5,6,7}:{(55,1),(62,1),(112,1),(118,1),(227,1),(271,1),(364,1)}
        84:{2,4,6}:{(55,1),(56,1),(63,1),(113,1),(119,1),(131,1)}
        85:{3,5,7}:{(56,1),(57,1),(116,1),(119,1)}
        86:{2,3,4,7}:{(57,1),(65,1),(117,1),(120,1),(121,1),(143,1),(226,1),(276,1),(286,1),(361,1),(395,1)}
        87:{1,3,4}:{(58,1),(123,1),(295,1),(300,1),(346,1)}
        88:{2,3,5}:{(58,1),(61,1),(123,1),(124,1),(127,1),(288,1),(289,1)}
        89:{1,4,5,6}:{(59,1),(63,1),(67,1),(115,1),(125,1),(126,1),(145,1),(212,1),(219,1),(272,1),(277,1),(359,1),(398,1)}
        90:{1,3,5}:{(59,1),(60,1),(68,1),(116,1),(127,1)}
        91:{2,4,6}:{(60,1),(61,1),(65,1),(123,1),(127,1),(128,1),(131,1)}
        92:{1,3,6}:{(61,1),(66,1),(124,1),(128,1),(129,1)}
        93:{1,4,6,7}:{(62,1),(63,1),(70,1),(118,1),(125,1),(130,1),(215,1),(398,1)}
        94:{1,3,6}:{(63,1),(64,1),(71,1),(119,1),(131,1)}
        95:{2,5,7}:{(64,1),(65,1),(127,1),(131,1),(132,1)}
        96:{1,4,7}:{(65,1),(66,1),(128,1),(132,1)}
        97:{1,2,7}:{(66,1),(129,1),(353,1)}
        98:{3,4,5}:{(68,1),(134,1),(135,1),(346,1),(387,1),(390,1)}
        99:{2,4,5,7}:{(67,1),(70,1),(74,1),(125,1),(136,1),(144,1),(211,1),(218,1),(340,1),(344,1),(386,1)}
       100:{3,5,6}:{(67,1),(68,1),(71,1),(134,1),(136,1),(345,1),(390,1),(409,1)}
       101:{2,3,5}:{(68,1),(69,1),(127,1),(135,1),(138,1),(350,1),(390,1),(396,1)}
       102:{1,3,4,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(141,1),(206,1),(214,1),(219,1),(230,1),(287,1),(295,1),(297,1),(299,1),(300,1),(394,1)}
       103:{3,6,7}:{(70,1),(71,1),(136,1),(409,1)}
       104:{2,3,6}:{(71,1),(72,1),(77,1),(131,1),(141,1),(409,1),(411,1)}
       105:{1,3,5,7}:{(72,1),(73,1),(78,1),(132,1),(138,1),(141,1),(142,1),(148,1),(410,1)}
       106:{2,4,7}:{(73,1),(139,1),(142,1),(143,1),(353,1)}
       107:{3,5,7}:{(74,1),(75,1),(76,1),(144,1)}
       108:{2,5,6}:{(75,1),(77,1),(144,1),(145,1),(350,1)}
       109:{2,4,6,7}:{(76,1),(77,1),(140,1),(144,1),(146,1),(218,1)}
       110:{1,4,6}:{(77,1),(78,1),(141,1),(145,1),(147,1)}
       111:{2,4,5,7}:{(78,1),(142,1),(147,1),(148,1),(220,1),(226,1),(227,1),(298,1),(304,1),(305,1),(306,1)}
       112:{3,5,6,7}:{(79,1),(83,1),(150,1),(158,1),(231,1),(267,1),(339,1)}
       113:{4,6}:{(79,1),(80,1)}
       114:{3,4,5,7}:{(80,1),(85,1),(151,1),(152,1),(153,1),(189,1),(231,1),(236,1),(270,1),(338,1),(384,1)}
       115:{2,4,5,6}:{(81,1),(84,1),(89,1),(149,1),(154,1),(155,1),(168,1),(186,1),(232,1),(237,1),(260,1),(268,1),(336,1),(385,1)}
       116:{3,5}:{(81,1),(82,1)}
       117:{2,3,4,6}:{(82,1),(86,1),(91,1),(156,1),(157,1),(159,1),(162,1),(181,1),(237,1),(246,1),(264,1),(266,1),(334,1),(379,1)}
       118:{2,4,6,7}:{(83,1),(84,1),(93,1),(150,1),(154,1),(158,1),(171,1),(385,1)}
       119:{3,6}:{(84,1),(85,1)}
       120:{2,3,5,7}:{(85,1),(86,1),(95,1),(152,1),(156,1),(159,1),(160,1),(384,1),(406,1)}
       121:{1,3,4,7}:{(86,1),(96,1),(157,1),(160,1),(161,1),(174,1),(258,1),(312,1),(313,1),(323,1),(370,1),(404,1)}
       122:{1,3,4,5}:{(87,1),(90,1),(98,1),(153,1),(163,1),(164,1),(177,1),(238,1),(247,1),(261,1),(315,1),(328,1),(381,1)}
       123:{2,4}:{(87,1),(88,1),(165,1)}
       124:{1,3,5}:{(88,1),(92,1),(165,1),(166,1),(169,1),(252,1)}
       125:{1,4,5,7}:{(89,1),(93,1),(99,1),(154,1),(167,1),(185,1),(253,1),(259,1),(308,1),(313,1)}
       126:{1,3,5,6}:{(89,1),(90,1),(94,1),(100,1),(155,1),(163,1),(167,1),(168,1),(381,1),(407,1)}
       127:{2,5}:{(90,1),(91,1),(169,1)}
       128:{1,4,6}:{(91,1),(92,1),(96,1),(165,1),(169,1),(172,1)}
       129:{1,2,6}:{(92,1),(97,1),(166,1),(324,1)}
       130:{1,3,6,7}:{(93,1),(94,1),(103,1),(158,1),(167,1),(171,1),(407,1)}
       131:{2,6}:{(94,1),(95,1),(172,1)}
       132:{1,5,7}:{(95,1),(96,1),(169,1),(172,1)}
       133:{1,2,4,7}:{(96,1),(97,1),(106,1),(161,1),(170,1),(173,1),(174,1),(258,1),(375,1),(404,1)}
       134:{3,4,6}:{(98,1),(100,1),(175,1),(176,1),(367,1)}
       135:{2,4,5}:{(98,1),(101,1),(176,1),(177,1),(318,1)}
       136:{3,5,7}:{(99,1),(100,1),(103,1),(175,1),(370,1)}
       137:{2,3,5,6}:{(100,1),(101,1),(104,1),(108,1),(168,1),(176,1),(178,1),(179,1),(246,1)}
       138:{1,3,5}:{(101,1),(102,1),(169,1),(177,1),(180,1),(261,1),(270,1),(332,1),(405,1)}
       139:{2,4,6}:{(102,1),(106,1),(180,1),(181,1),(183,1),(248,1),(264,1),(324,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(109,1),(171,1),(178,1),(182,1)}
       141:{1,3,6}:{(104,1),(105,1),(110,1),(172,1),(183,1),(188,1),(412,1)}
       142:{2,5,7}:{(105,1),(106,1),(180,1),(183,1)}
       143:{2,3,7}:{(106,1),(174,1),(181,1),(333,1)}
       144:{2,5,7}:{(107,1),(108,1),(109,1),(185,1)}
       145:{1,5,6}:{(108,1),(110,1),(185,1),(186,1),(332,1)}
       146:{1,4,6,7}:{(109,1),(110,1),(182,1),(185,1),(187,1),(259,1)}
       147:{2,4,6}:{(110,1),(111,1),(183,1),(186,1),(188,1),(268,1)}
       148:{3,5,7}:{(111,1),(188,1),(189,1),(261,1),(270,1),(333,1)}
       149:{4,5,6}:{(113,1),(190,1),(191,1),(306,1),(365,1)}
       150:{4,6,7}:{(112,1),(113,1),(190,1),(305,1),(365,1)}
       151:{3,4,6}:{(113,1),(114,1),(119,1),(191,1),(193,1),(365,1),(399,1)}
       152:{2,4,5,7}:{(114,1),(120,1),(193,1),(194,1),(196,1),(226,1),(271,1),(276,1),(304,1)}
       153:{3,4,5}:{(116,1),(195,1),(196,1),(300,1),(306,1),(362,1)}
       154:{2,4,5,7}:{(115,1),(118,1),(125,1),(190,1),(197,1),(211,1),(227,1),(271,1),(276,1),(298,1),(305,1)}
       155:{3,5,6}:{(115,1),(116,1),(119,1),(195,1),(197,1),(299,1),(362,1),(399,1)}
       156:{2,3,5}:{(116,1),(117,1),(127,1),(196,1),(199,1),(304,1),(362,1),(396,1)}
       157:{1,3,4,6}:{(117,1),(121,1),(128,1),(199,1),(200,1),(202,1),(206,1),(214,1),(277,1),(287,1),(295,1),(297,1),(343,1),(345,1),(346,1),(394,1)}
       158:{3,6,7}:{(118,1),(119,1),(197,1),(399,1)}
       159:{2,3,6}:{(119,1),(120,1),(131,1),(193,1),(202,1),(399,1),(411,1)}
       160:{1,3,5,7}:{(120,1),(121,1),(132,1),(194,1),(199,1),(202,1),(203,1),(275,1),(410,1)}
       161:{2,4,7}:{(121,1),(200,1),(203,1),(204,1),(353,1)}
       162:{2,3,4}:{(123,1),(205,1),(206,1),(289,1),(300,1),(346,1),(355,1)}
       163:{1,3,4,6}:{(122,1),(126,1),(134,1),(195,1),(207,1),(208,1),(219,1),(277,1),(287,1),(299,1),(345,1)}
       164:{2,4,5}:{(122,1),(123,1),(127,1),(205,1),(208,1),(209,1),(288,1),(355,1),(396,1)}
       165:{1,4}:{(123,1),(124,1)}
       166:{1,2,5}:{(124,1),(129,1),(210,1),(288,1)}
       167:{1,3,5,7}:{(125,1),(126,1),(130,1),(136,1),(197,1),(207,1),(211,1)}
       168:{2,5,6}:{(126,1),(127,1),(131,1),(208,1),(211,1),(212,1),(396,1),(411,1)}
       169:{1,5}:{(127,1),(128,1)}
       170:{1,2,4,6}:{(128,1),(129,1),(133,1),(139,1),(200,1),(210,1),(213,1),(214,1),(216,1),(285,1),(295,1),(297,1),(351,1),(394,1)}
       171:{2,6,7}:{(130,1),(131,1),(211,1),(215,1),(411,1)}
       172:{1,6}:{(131,1),(132,1)}
       173:{1,2,5,7}:{(132,1),(133,1),(142,1),(203,1),(213,1),(216,1),(217,1),(410,1)}
       174:{1,3,7}:{(133,1),(143,1),(204,1),(214,1)}
       175:{3,4,7}:{(134,1),(136,1),(218,1),(386,1)}
       176:{2,4,6}:{(134,1),(135,1),(137,1),(218,1),(219,1)}
       177:{1,4,5}:{(135,1),(138,1),(219,1),(220,1),(295,1),(306,1)}
       178:{2,3,5,7}:{(136,1),(137,1),(140,1),(144,1),(211,1),(218,1),(221,1),(286,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(141,1),(145,1),(212,1),(219,1),(221,1),(222,1),(228,1),(287,1),(299,1)}
       180:{2,5}:{(138,1),(139,1)}
       181:{2,3,6}:{(139,1),(143,1),(214,1),(223,1),(289,1),(299,1)}
       182:{1,3,6,7}:{(140,1),(141,1),(146,1),(215,1),(221,1),(224,1),(229,1)}
       183:{2,6}:{(141,1),(142,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(148,1),(217,1),(223,1),(225,1),(226,1),(304,1)}
       185:{1,5,7}:{(144,1),(145,1),(146,1),(227,1)}
       186:{2,5,6}:{(145,1),(147,1),(227,1),(228,1),(304,1)}
       187:{2,4,6,7}:{(146,1),(147,1),(224,1),(227,1),(229,1),(298,1),(305,1)}
       188:{3,6}:{(147,1),(148,1)}
       189:{3,4,7}:{(148,1),(226,1),(230,1),(300,1),(305,1)}
       190:{4,5,7}:{(149,1),(150,1),(231,1)}
       191:{3,5,6}:{(149,1),(151,1),(231,1),(232,1),(270,1)}
       192:{3,4,6,7}:{(150,1),(151,1),(158,1),(231,1),(233,1),(236,1)}
       193:{2,4,6}:{(151,1),(152,1),(159,1),(232,1),(234,1)}
       194:{1,4,5,7}:{(152,1),(160,1),(234,1),(235,1),(238,1),(258,1),(308,1),(313,1),(332,1)}
       195:{3,4,6}:{(153,1),(155,1),(236,1),(237,1),(268,1)}
       196:{2,4,5}:{(153,1),(156,1),(237,1),(238,1),(264,1)}
       197:{3,5,7}:{(154,1),(155,1),(158,1),(236,1),(333,1)}
       198:{2,3,5,6}:{(155,1),(156,1),(159,1),(168,1),(232,1),(237,1),(239,1),(240,1),(246,1)}
       199:{1,3,5}:{(156,1),(157,1),(169,1),(238,1),(241,1),(315,1),(332,1),(369,1),(405,1)}
       200:{2,4,6}:{(157,1),(161,1),(241,1),(242,1),(244,1),(248,1),(318,1),(324,1)}
       201:{2,3,6,7}:{(158,1),(159,1),(171,1),(233,1),(239,1),(243,1)}
       202:{1,3,6}:{(159,1),(160,1),(172,1),(234,1),(244,1),(311,1),(412,1)}
       203:{2,5,7}:{(160,1),(161,1),(241,1),(244,1)}
       204:{2,3,7}:{(161,1),(174,1),(242,1),(370,1)}
       205:{2,3,5}:{(162,1),(164,1),(246,1),(247,1),(261,1),(315,1)}
       206:{1,3,4}:{(162,1),(165,1),(247,1),(248,1),(252,1),(322,1),(377,1)}
       207:{1,3,4,7}:{(163,1),(167,1),(175,1),(236,1),(249,1),(259,1),(313,1),(323,1),(333,1),(370,1)}
       208:{2,4,6}:{(163,1),(164,1),(168,1),(246,1),(249,1),(250,1),(324,1)}
       209:{1,4,5}:{(164,1),(165,1),(169,1),(247,1),(250,1),(377,1),(405,1)}
       210:{1,2,4}:{(165,1),(166,1),(248,1),(252,1)}
       211:{2,5,7}:{(167,1),(168,1),(171,1),(249,1),(253,1)}
       212:{1,5,6}:{(168,1),(169,1),(172,1),(250,1),(253,1),(405,1),(412,1)}
       213:{1,2,5}:{(169,1),(170,1),(180,1),(241,1),(255,1),(332,1),(405,1)}
       214:{1,3,6}:{(170,1),(174,1),(181,1),(242,1),(252,1),(255,1),(322,1)}
       215:{1,6,7}:{(171,1),(172,1),(253,1),(412,1)}
       216:{1,2,6}:{(172,1),(173,1),(183,1),(244,1),(257,1),(412,1)}
       217:{1,3,5,7}:{(173,1),(174,1),(184,1),(245,1),(255,1),(257,1),(258,1),(332,1)}
       218:{2,4,7}:{(175,1),(176,1),(178,1),(259,1)}
       219:{1,4,6}:{(176,1),(177,1),(179,1),(259,1),(260,1),(268,1)}
       220:{2,4,5}:{(177,1),(180,1),(260,1),(261,1),(264,1)}
       221:{1,3,5,7}:{(178,1),(179,1),(182,1),(185,1),(253,1),(259,1),(262,1),(267,1),(323,1),(333,1)}
       222:{2,5,6}:{(179,1),(180,1),(183,1),(260,1),(262,1),(324,1)}
       223:{2,3,5}:{(180,1),(181,1),(255,1),(261,1),(264,1)}
       224:{2,6,7}:{(182,1),(183,1),(262,1)}
       225:{2,3,6}:{(183,1),(184,1),(188,1),(257,1),(266,1)}
       226:{2,4,7}:{(184,1),(189,1),(258,1),(264,1),(266,1)}
       227:{2,5,7}:{(185,1),(186,1),(187,1),(267,1)}
       228:{3,5,6}:{(186,1),(188,1),(267,1),(268,1),(270,1)}
       229:{3,6,7}:{(187,1),(188,1),(267,1),(333,1)}
       230:{3,4,6}:{(188,1),(189,1),(266,1),(268,1),(270,1)}
       231:{3,5,7}:{(190,1),(191,1),(192,1),(271,1)}
       232:{2,5,6}:{(191,1),(193,1),(271,1),(272,1),(304,1)}
       233:{2,4,6,7}:{(192,1),(193,1),(201,1),(271,1),(273,1),(276,1)}
       234:{1,4,6}:{(193,1),(194,1),(202,1),(272,1),(274,1)}
       235:{2,4,5,7}:{(194,1),(203,1),(274,1),(275,1),(278,1),(284,1),(340,1),(344,1),(350,1),(386,1),(387,1)}
       236:{3,4,7}:{(195,1),(197,1),(276,1),(305,1)}
       237:{2,4,6}:{(195,1),(196,1),(198,1),(276,1),(277,1)}
       238:{1,4,5}:{(196,1),(199,1),(277,1),(278,1),(295,1),(387,1)}
       239:{2,3,5,7}:{(197,1),(198,1),(201,1),(211,1),(271,1),(276,1),(279,1),(286,1)}
       240:{1,3,5,6}:{(198,1),(199,1),(202,1),(212,1),(272,1),(277,1),(279,1),(280,1),(287,1),(341,1),(345,1)}
       241:{2,5}:{(199,1),(200,1)}
       242:{2,3,6}:{(200,1),(204,1),(214,1),(281,1),(289,1),(345,1)}
       243:{1,3,6,7}:{(201,1),(202,1),(215,1),(273,1),(279,1),(282,1),(342,1)}
       244:{2,6}:{(202,1),(203,1)}
       245:{2,3,5,7}:{(203,1),(204,1),(217,1),(275,1),(281,1),(283,1),(284,1),(350,1)}
       246:{2,3,6}:{(205,1),(208,1),(286,1),(287,1),(299,1),(345,1)}
       247:{1,3,5}:{(205,1),(206,1),(209,1),(287,1),(288,1)}
       248:{2,4}:{(206,1),(288,1),(289,1)}
       249:{2,4,7}:{(207,1),(208,1),(211,1),(286,1),(290,1),(353,1)}
       250:{1,4,6}:{(208,1),(209,1),(212,1),(287,1),(290,1)}
       251:{1,2,4,5}:{(209,1),(210,1),(213,1),(220,1),(278,1),(288,1),(291,1),(292,1),(295,1),(355,1),(359,1),(396,1)}
       252:{1,3}:{(210,1),(289,1)}
       253:{1,5,7}:{(211,1),(212,1),(215,1),(290,1)}
       254:{1,2,5,6}:{(212,1),(213,1),(216,1),(222,1),(280,1),(291,1),(293,1),(294,1),(351,1),(396,1),(411,1)}
       255:{1,3,5}:{(213,1),(214,1),(223,1),(281,1),(295,1)}
       256:{1,2,6,7}:{(215,1),(216,1),(224,1),(282,1),(293,1),(296,1),(411,1)}
       257:{1,3,6}:{(216,1),(217,1),(225,1),(283,1),(297,1)}
       258:{1,4,7}:{(217,1),(226,1),(284,1),(295,1),(297,1)}
       259:{1,4,7}:{(218,1),(219,1),(221,1),(298,1),(305,1)}
       260:{2,4,6}:{(219,1),(220,1),(222,1),(298,1),(299,1)}
       261:{3,5}:{(220,1),(299,1),(300,1)}
       262:{2,5,7}:{(221,1),(222,1),(224,1),(298,1),(353,1)}
       263:{2,3,5,6}:{(222,1),(223,1),(225,1),(228,1),(294,1),(299,1),(301,1),(302,1),(304,1),(354,1),(362,1),(364,1),(396,1),(399,1),(411,1)}
       264:{2,4}:{(223,1),(295,1),(300,1)}
       265:{2,3,6,7}:{(224,1),(225,1),(229,1),(296,1),(301,1),(303,1),(399,1),(411,1)}
       266:{2,4,6}:{(225,1),(226,1),(230,1),(297,1),(304,1)}
       267:{3,5,7}:{(227,1),(228,1),(229,1),(305,1)}
       268:{4,6}:{(228,1),(305,1),(306,1)}
       269:{3,4,6,7}:{(229,1),(230,1),(303,1),(305,1),(307,1),(361,1),(365,1),(399,1)}
       270:{3,5}:{(230,1),(304,1),(306,1)}
       271:{2,5,7}:{(231,1),(232,1),(233,1),(308,1)}
       272:{1,5,6}:{(232,1),(234,1),(308,1),(309,1),(332,1)}
       273:{1,4,6,7}:{(233,1),(234,1),(243,1),(308,1),(310,1),(313,1)}
       274:{2,4,6}:{(234,1),(235,1),(244,1),(309,1),(311,1),(367,1)}
       275:{3,5,7}:{(235,1),(311,1),(312,1),(315,1),(369,1),(370,1)}
       276:{2,4,7}:{(236,1),(237,1),(239,1),(313,1)}
       277:{1,4,6}:{(237,1),(238,1),(240,1),(313,1),(314,1),(367,1)}
       278:{2,4,5}:{(238,1),(241,1),(314,1),(315,1),(318,1)}
       279:{1,3,5,7}:{(239,1),(240,1),(243,1),(253,1),(308,1),(313,1),(316,1),(323,1),(366,1),(370,1)}
       280:{2,5,6}:{(240,1),(241,1),(244,1),(314,1),(316,1),(324,1)}
       281:{2,3,5}:{(241,1),(242,1),(255,1),(315,1),(318,1)}
       282:{2,6,7}:{(243,1),(244,1),(316,1)}
       283:{2,3,6}:{(244,1),(245,1),(257,1),(311,1),(320,1)}
       284:{2,4,7}:{(245,1),(258,1),(312,1),(318,1),(320,1)}
       285:{1,2,4}:{(248,1),(321,1),(322,1),(377,1)}
       286:{2,3,7}:{(246,1),(249,1),(323,1),(333,1),(370,1)}
       287:{1,3,6}:{(246,1),(247,1),(250,1),(323,1),(324,1)}
       288:{2,5}:{(247,1),(248,1),(324,1)}
       289:{2,3}:{(248,1),(252,1),(322,1)}
       290:{1,4,7}:{(249,1),(250,1),(253,1),(323,1)}
       291:{1,2,4,6}:{(250,1),(251,1),(254,1),(260,1),(314,1),(324,1),(326,1),(327,1),(330,1),(379,1)}
       292:{1,3,5}:{(251,1),(252,1),(261,1),(315,1),(325,1),(327,1),(328,1)}
       293:{1,2,5,7}:{(253,1),(254,1),(256,1),(262,1),(316,1),(326,1),(329,1),(375,1),(406,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(257,1),(263,1),(317,1),(327,1),(329,1),(330,1),(332,1),(376,1),(381,1),(383,1),(405,1),(407,1),(412,1)}
       295:{1,4}:{(255,1),(264,1),(318,1)}
       296:{1,3,6,7}:{(256,1),(257,1),(265,1),(319,1),(329,1),(331,1),(407,1),(412,1)}
       297:{1,4,6}:{(257,1),(258,1),(266,1),(320,1),(332,1)}
       298:{2,4,7}:{(259,1),(260,1),(262,1),(333,1)}
       299:{3,6}:{(260,1),(261,1),(333,1)}
       300:{3,4}:{(261,1),(264,1)}
       301:{2,3,5,7}:{(262,1),(263,1),(265,1),(267,1),(329,1),(333,1),(335,1),(337,1),(378,1),(384,1),(406,1)}
       302:{2,4,6}:{(263,1),(264,1),(268,1),(330,1),(334,1),(335,1),(336,1)}
       303:{2,4,6,7}:{(265,1),(266,1),(269,1),(331,1),(335,1),(337,1),(385,1)}
       304:{2,5}:{(266,1),(270,1),(332,1)}
       305:{4,7}:{(267,1),(268,1)}
       306:{4,5}:{(268,1),(270,1)}
       307:{3,5,7}:{(269,1),(270,1),(337,1),(338,1),(339,1)}
       308:{1,5,7}:{(271,1),(272,1),(273,1),(340,1)}
       309:{2,5,6}:{(272,1),(274,1),(340,1),(341,1),(350,1)}
       310:{2,4,6,7}:{(273,1),(274,1),(282,1),(340,1),(342,1),(344,1),(386,1)}
       311:{3,6}:{(274,1),(275,1)}
       312:{3,4,7}:{(275,1),(284,1),(343,1),(346,1),(386,1)}
       313:{1,4,7}:{(276,1),(277,1),(279,1),(344,1),(386,1)}
       314:{2,4,6}:{(277,1),(278,1),(280,1),(344,1),(345,1)}
       315:{3,5}:{(278,1),(345,1),(346,1)}
       316:{2,5,7}:{(279,1),(280,1),(282,1),(344,1),(353,1)}
       317:{2,3,5,6}:{(280,1),(281,1),(283,1),(294,1),(341,1),(345,1),(347,1),(348,1),(350,1),(354,1),(390,1),(392,1),(396,1),(409,1),(411,1)}
       318:{2,4}:{(281,1),(295,1),(346,1)}
       319:{2,3,6,7}:{(282,1),(283,1),(296,1),(342,1),(347,1),(349,1),(409,1),(411,1)}
       320:{2,4,6}:{(283,1),(284,1),(297,1),(343,1),(350,1)}
       321:{1,2,5}:{(285,1),(288,1),(351,1),(352,1)}
       322:{1,3}:{(285,1),(289,1)}
       323:{1,3,7}:{(286,1),(287,1),(290,1),(353,1)}
       324:{2,6}:{(287,1),(288,1),(353,1)}
       325:{2,3,5}:{(288,1),(289,1),(292,1),(352,1),(354,1),(355,1),(396,1)}
       326:{1,2,4,7}:{(290,1),(291,1),(293,1),(298,1),(344,1),(353,1),(356,1),(358,1),(395,1)}
       327:{1,3,6}:{(291,1),(292,1),(299,1),(345,1),(354,1),(356,1)}
       328:{1,3,4}:{(292,1),(295,1),(300,1),(346,1),(355,1)}
       329:{1,3,5,7}:{(293,1),(294,1),(296,1),(301,1),(347,1),(356,1),(358,1),(360,1),(393,1),(410,1)}
       330:{1,4,6}:{(294,1),(295,1),(302,1),(348,1),(358,1),(359,1)}
       331:{1,4,6,7}:{(296,1),(297,1),(303,1),(349,1),(358,1),(360,1),(398,1)}
       332:{1,5}:{(297,1),(304,1),(350,1)}
       333:{3,7}:{(298,1),(299,1)}
       334:{3,4,6}:{(299,1),(300,1),(302,1),(361,1),(362,1),(399,1)}
       335:{2,4,7}:{(301,1),(302,1),(305,1),(358,1),(361,1)}
       336:{2,4,5}:{(302,1),(304,1),(306,1),(359,1),(362,1),(396,1)}
       337:{2,5,7}:{(303,1),(304,1),(307,1),(360,1),(364,1)}
       338:{4,5,7}:{(305,1),(306,1),(307,1),(365,1)}
       339:{3,5,6}:{(307,1),(364,1),(365,1),(399,1)}
       340:{2,5,7}:{(308,1),(309,1),(310,1),(366,1)}
       341:{3,5,6}:{(309,1),(311,1),(366,1),(367,1),(369,1)}
       342:{3,6,7}:{(310,1),(311,1),(366,1),(370,1)}
       343:{3,4,6}:{(311,1),(312,1),(320,1),(367,1),(369,1)}
       344:{2,4,7}:{(313,1),(314,1),(316,1),(370,1)}
       345:{3,6}:{(314,1),(315,1),(370,1)}
       346:{3,4}:{(315,1),(318,1)}
       347:{2,3,5,7}:{(316,1),(317,1),(319,1),(329,1),(366,1),(370,1),(372,1),(374,1),(378,1),(402,1),(406,1)}
       348:{2,4,6}:{(317,1),(318,1),(330,1),(367,1),(371,1),(372,1),(373,1)}
       349:{2,4,6,7}:{(319,1),(320,1),(331,1),(368,1),(372,1),(374,1),(403,1)}
       350:{2,5}:{(320,1),(332,1),(369,1)}
       351:{1,2,6}:{(321,1),(324,1),(375,1),(376,1)}
       352:{1,3,5}:{(321,1),(322,1),(325,1),(376,1),(377,1),(405,1)}
       353:{2,7}:{(323,1),(324,1)}
       354:{2,3,6}:{(324,1),(325,1),(327,1),(376,1),(378,1),(379,1)}
       355:{2,4}:{(325,1),(328,1),(377,1)}
       356:{1,3,7}:{(326,1),(327,1),(333,1),(370,1),(378,1)}
       357:{1,3,4,6}:{(327,1),(328,1),(330,1),(334,1),(371,1),(379,1),(380,1),(381,1),(407,1)}
       358:{1,4,7}:{(329,1),(330,1),(335,1),(372,1)}
       359:{1,4,5}:{(330,1),(332,1),(336,1),(373,1),(381,1),(405,1)}
       360:{1,5,7}:{(331,1),(332,1),(337,1),(374,1),(383,1)}
       361:{3,4,7}:{(333,1),(334,1),(335,1),(384,1)}
       362:{3,5}:{(334,1),(336,1)}
       363:{2,4,5,7}:{(335,1),(336,1),(337,1),(338,1),(382,1),(384,1),(385,1),(406,1)}
       364:{2,5,6}:{(337,1),(339,1),(383,1),(385,1)}
       365:{4,6}:{(338,1),(339,1)}
       366:{3,5,7}:{(340,1),(341,1),(342,1),(386,1)}
       367:{4,6}:{(341,1),(386,1),(387,1)}
       368:{3,4,6,7}:{(342,1),(343,1),(349,1),(386,1),(388,1),(389,1),(408,1),(409,1)}
       369:{3,5}:{(343,1),(350,1),(387,1)}
       370:{3,7}:{(344,1),(345,1)}
       371:{3,4,6}:{(345,1),(346,1),(348,1),(389,1),(390,1),(409,1)}
       372:{2,4,7}:{(347,1),(348,1),(358,1),(386,1),(389,1)}
       373:{2,4,5}:{(348,1),(350,1),(359,1),(387,1),(390,1),(396,1)}
       374:{2,5,7}:{(349,1),(350,1),(360,1),(388,1),(392,1)}
       375:{1,2,7}:{(351,1),(353,1),(393,1)}
       376:{1,3,6}:{(351,1),(352,1),(354,1),(393,1),(394,1)}
       377:{1,4}:{(352,1),(355,1)}
       378:{2,3,7}:{(353,1),(354,1),(356,1),(393,1),(395,1)}
       379:{2,4,6}:{(354,1),(355,1),(357,1),(394,1),(395,1),(396,1),(411,1)}
       380:{1,3,4,7}:{(356,1),(357,1),(358,1),(361,1),(389,1),(395,1),(397,1)}
       381:{1,3,5}:{(357,1),(359,1),(362,1),(390,1),(396,1)}
       382:{1,4,5,7}:{(358,1),(359,1),(360,1),(363,1),(391,1),(397,1),(398,1),(410,1)}
       383:{1,5,6}:{(360,1),(364,1),(392,1),(398,1)}
       384:{3,5,7}:{(361,1),(362,1),(363,1),(399,1)}
       385:{2,4,6}:{(363,1),(364,1),(365,1),(398,1),(399,1),(411,1)}
       386:{4,7}:{(366,1),(367,1)}
       387:{4,5}:{(367,1),(369,1)}
       388:{3,5,7}:{(368,1),(369,1),(374,1),(400,1),(401,1)}
       389:{3,4,7}:{(370,1),(371,1),(372,1),(402,1)}
       390:{3,5}:{(371,1),(373,1)}
       391:{2,4,5,7}:{(372,1),(373,1),(374,1),(382,1),(400,1),(402,1),(403,1),(406,1)}
       392:{2,5,6}:{(374,1),(383,1),(401,1),(403,1)}
       393:{1,3,7}:{(375,1),(376,1),(378,1),(404,1)}
       394:{1,4,6}:{(376,1),(377,1),(379,1),(404,1),(405,1),(412,1)}
       395:{2,4,7}:{(378,1),(379,1),(380,1),(404,1),(406,1)}
       396:{2,5}:{(379,1),(381,1),(405,1)}
       397:{1,3,5,7}:{(380,1),(381,1),(382,1),(384,1),(402,1),(406,1),(407,1)}
       398:{1,4,6}:{(382,1),(383,1),(385,1),(403,1),(407,1),(412,1)}
       399:{3,6}:{(384,1),(385,1)}
       400:{4,5,7}:{(386,1),(387,1),(388,1),(408,1)}
       401:{3,5,6}:{(388,1),(392,1),(408,1),(409,1)}
       402:{3,5,7}:{(389,1),(390,1),(391,1),(409,1)}
       403:{2,4,6}:{(391,1),(392,1),(398,1),(408,1),(409,1),(411,1)}
       404:{1,4,7}:{(393,1),(394,1),(395,1),(410,1)}
       405:{1,5}:{(394,1),(396,1)}
       406:{2,5,7}:{(395,1),(396,1),(397,1),(410,1),(411,1)}
       407:{1,3,6}:{(397,1),(398,1),(399,1),(409,1),(411,1)}
       408:{4,6}:{(400,1),(401,1)}
       409:{3,6}:{(402,1),(403,1)}
       410:{1,5,7}:{(404,1),(405,1),(406,1),(412,1)}
       411:{2,6}:{(406,1),(407,1),(412,1)}
       412:{1,6}:{(410,1),(411,1)}

1285 :   0:{4,5,6}:{(3,1),(4,1),(145,1),(152,1)}
         1:{3,4,5}:{(6,1),(7,1),(119,1),(140,1)}
         2:{5,6,7}:{(8,1),(153,1)}
         3:{4,5,7}:{(0,1),(8,1),(9,1)}
         4:{3,5,6}:{(0,1),(6,1),(9,1),(10,1),(140,1),(150,1)}
         5:{2,3,4}:{(11,1),(12,1),(69,1),(106,1)}
         6:{3,4,6}:{(1,1),(4,1),(13,1),(14,1)}
         7:{2,4,5}:{(1,1),(11,1),(14,1),(15,1),(106,1),(133,1)}
         8:{4,6,7}:{(2,1),(3,1),(16,1),(152,1)}
         9:{3,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1)}
        10:{2,5,6}:{(4,1),(14,1),(17,1),(18,1),(133,1),(147,1)}
        11:{2,3,5}:{(5,1),(7,1),(20,1),(21,1)}
        12:{1,3,4}:{(5,1),(21,1),(22,1),(50,1),(56,1),(91,1)}
        13:{3,4,7}:{(6,1),(9,1),(23,1)}
        14:{2,4,6}:{(6,1),(7,1),(10,1),(20,1),(23,1),(24,1)}
        15:{1,4,5}:{(7,1),(21,1),(24,1),(25,1),(91,1),(123,1)}
        16:{3,6,7}:{(8,1),(9,1),(26,1),(150,1)}
        17:{2,5,7}:{(9,1),(10,1),(23,1),(26,1),(27,1)}
        18:{1,5,6}:{(10,1),(24,1),(27,1),(28,1),(123,1),(142,1)}
        19:{2,3,4}:{(30,1),(31,1),(36,1),(74,1)}
        20:{2,3,6}:{(11,1),(14,1),(33,1),(34,1)}
        21:{1,3,5}:{(11,1),(12,1),(15,1),(34,1),(35,1),(39,1)}
        22:{2,4}:{(12,1),(35,1),(36,1)}
        23:{2,4,7}:{(13,1),(14,1),(17,1),(33,1),(37,1)}
        24:{1,4,6}:{(14,1),(15,1),(18,1),(34,1),(37,1),(38,1)}
        25:{2,4,5}:{(15,1),(35,1),(38,1),(39,1),(74,1),(79,1),(110,1)}
        26:{2,6,7}:{(16,1),(17,1),(40,1),(147,1)}
        27:{1,5,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        28:{2,5,6}:{(18,1),(38,1),(41,1),(42,1),(110,1),(135,1)}
        29:{3,4,5}:{(44,1),(45,1),(56,1),(95,1)}
        30:{2,3,5}:{(19,1),(45,1),(46,1),(47,1)}
        31:{1,3,4}:{(19,1),(47,1),(48,1),(50,1),(91,1),(119,1)}
        32:{1,2,4}:{(22,1),(48,1),(49,1),(50,1),(91,1)}
        33:{2,3,7}:{(20,1),(23,1),(51,1)}
        34:{1,3,6}:{(20,1),(21,1),(24,1),(51,1),(52,1),(55,1)}
        35:{2,5}:{(21,1),(22,1),(52,1)}
        36:{2,3}:{(22,1),(50,1)}
        37:{1,4,7}:{(23,1),(24,1),(27,1),(51,1),(54,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(52,1),(54,1),(55,1),(59,1)}
        39:{3,5}:{(25,1),(55,1),(56,1)}
        40:{1,6,7}:{(26,1),(27,1),(57,1),(142,1)}
        41:{2,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1)}
        42:{3,5,6}:{(28,1),(55,1),(58,1),(59,1),(95,1),(125,1),(126,1)}
        43:{4,5,6}:{(61,1),(62,1),(79,1),(113,1)}
        44:{3,4,6}:{(29,1),(62,1),(63,1),(64,1)}
        45:{2,4,5}:{(29,1),(30,1),(64,1),(65,1),(74,1),(110,1)}
        46:{2,3,6}:{(30,1),(64,1),(66,1),(67,1)}
        47:{1,3,5}:{(30,1),(31,1),(65,1),(67,1),(68,1),(103,1)}
        48:{2,4}:{(31,1),(68,1),(69,1)}
        49:{1,2,5}:{(32,1),(35,1),(68,1),(70,1),(71,1)}
        50:{1,3}:{(32,1),(36,1),(69,1)}
        51:{1,3,7}:{(33,1),(34,1),(37,1),(72,1),(75,1)}
        52:{2,6}:{(34,1),(35,1),(72,1)}
        53:{2,3,5}:{(35,1),(36,1),(39,1),(71,1),(73,1),(74,1),(110,1)}
        54:{2,4,7}:{(37,1),(38,1),(41,1),(72,1),(75,1),(78,1)}
        55:{3,6}:{(38,1),(39,1),(75,1)}
        56:{3,4}:{(39,1),(74,1)}
        57:{2,6,7}:{(40,1),(41,1),(77,1),(135,1)}
        58:{3,5,7}:{(41,1),(42,1),(75,1),(77,1),(78,1),(112,1)}
        59:{4,6}:{(42,1),(78,1),(79,1)}
        60:{5,6,7}:{(80,1),(126,1)}
        61:{4,5,7}:{(43,1),(80,1),(81,1)}
        62:{3,5,6}:{(43,1),(44,1),(81,1),(82,1),(95,1),(125,1)}
        63:{3,4,7}:{(44,1),(81,1),(83,1)}
        64:{2,4,6}:{(44,1),(45,1),(46,1),(82,1),(83,1),(84,1)}
        65:{1,4,5}:{(45,1),(47,1),(84,1),(85,1),(91,1),(123,1)}
        66:{2,3,7}:{(46,1),(83,1),(86,1)}
        67:{1,3,6}:{(46,1),(47,1),(84,1),(86,1),(87,1),(118,1)}
        68:{2,5}:{(47,1),(48,1),(87,1)}
        69:{2,3}:{(48,1),(50,1)}
        70:{1,2,6}:{(49,1),(52,1),(87,1),(89,1),(90,1)}
        71:{1,3,5}:{(49,1),(50,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{2,7}:{(51,1),(52,1)}
        73:{2,3,6}:{(52,1),(53,1),(55,1),(90,1),(92,1),(93,1)}
        74:{2,4}:{(53,1),(56,1),(91,1)}
        75:{3,7}:{(54,1),(55,1)}
        76:{3,4,6}:{(55,1),(56,1),(59,1),(93,1),(94,1),(95,1),(125,1)}
        77:{3,6,7}:{(57,1),(58,1),(96,1),(125,1)}
        78:{4,7}:{(58,1),(59,1)}
        79:{4,5}:{(59,1),(95,1)}
        80:{4,6,7}:{(60,1),(61,1),(98,1),(113,1)}
        81:{3,5,7}:{(61,1),(62,1),(63,1),(98,1),(99,1)}
        82:{2,5,6}:{(62,1),(64,1),(99,1),(100,1),(110,1),(135,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1),(99,1),(101,1)}
        84:{1,4,6}:{(64,1),(65,1),(67,1),(100,1),(101,1),(102,1)}
        85:{2,4,5}:{(65,1),(68,1),(102,1),(103,1),(106,1),(133,1),(145,1)}
        86:{1,3,7}:{(66,1),(67,1),(101,1),(104,1),(130,1)}
        87:{2,6}:{(67,1),(68,1),(104,1)}
        88:{2,3,5}:{(68,1),(69,1),(71,1),(103,1),(105,1),(106,1),(133,1)}
        89:{1,2,7}:{(70,1),(72,1),(104,1),(107,1)}
        90:{1,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4}:{(71,1),(74,1),(106,1)}
        92:{2,3,7}:{(72,1),(73,1),(75,1),(107,1),(109,1)}
        93:{2,4,6}:{(73,1),(74,1),(76,1),(108,1),(109,1),(110,1),(135,1)}
        94:{3,4,7}:{(75,1),(76,1),(78,1),(109,1),(111,1)}
        95:{3,5}:{(76,1),(79,1),(110,1)}
        96:{4,6,7}:{(77,1),(78,1),(112,1),(113,1)}
        97:{4,5,7}:{(78,1),(79,1),(111,1),(112,1),(113,1)}
        98:{3,6,7}:{(80,1),(81,1),(114,1),(125,1)}
        99:{2,5,7}:{(81,1),(82,1),(83,1),(114,1),(115,1)}
       100:{1,5,6}:{(82,1),(84,1),(115,1),(116,1),(123,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(86,1),(115,1),(117,1)}
       102:{2,4,6}:{(84,1),(85,1),(87,1),(116,1),(117,1),(118,1),(138,1)}
       103:{3,5}:{(85,1),(118,1),(119,1)}
       104:{2,7}:{(86,1),(87,1)}
       105:{2,3,6}:{(87,1),(88,1),(90,1),(118,1),(120,1),(121,1)}
       106:{2,4}:{(88,1),(91,1),(119,1)}
       107:{1,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{1,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(142,1)}
       109:{2,4,7}:{(92,1),(93,1),(94,1),(122,1),(124,1)}
       110:{2,5}:{(93,1),(95,1),(123,1)}
       111:{3,5,7}:{(94,1),(95,1),(97,1),(124,1),(125,1)}
       112:{5,7}:{(96,1),(126,1)}
       113:{4,6}:{(97,1),(125,1),(126,1)}
       114:{2,6,7}:{(98,1),(99,1),(127,1),(135,1)}
       115:{1,5,7}:{(99,1),(100,1),(101,1),(127,1),(128,1)}
       116:{2,5,6}:{(100,1),(102,1),(128,1),(129,1),(133,1),(147,1)}
       117:{2,4,7}:{(101,1),(102,1),(104,1),(128,1),(130,1),(144,1)}
       118:{3,6}:{(102,1),(103,1),(130,1)}
       119:{3,4}:{(103,1),(106,1)}
       120:{2,3,7}:{(104,1),(105,1),(107,1),(130,1),(132,1)}
       121:{2,4,6}:{(105,1),(106,1),(108,1),(131,1),(132,1),(133,1),(147,1)}
       122:{1,4,7}:{(107,1),(108,1),(109,1),(132,1),(134,1)}
       123:{1,5}:{(108,1),(110,1),(133,1)}
       124:{2,5,7}:{(109,1),(110,1),(111,1),(134,1),(135,1)}
       125:{3,6}:{(111,1),(113,1),(135,1)}
       126:{5,6}:{(112,1),(113,1)}
       127:{1,6,7}:{(114,1),(115,1),(136,1),(142,1)}
       128:{2,5,7}:{(115,1),(116,1),(117,1),(136,1),(137,1)}
       129:{3,5,6}:{(116,1),(118,1),(137,1),(138,1),(140,1),(150,1),(153,1)}
       130:{3,7}:{(117,1),(118,1)}
       131:{3,4,6}:{(118,1),(119,1),(121,1),(138,1),(139,1),(140,1),(150,1)}
       132:{2,4,7}:{(120,1),(121,1),(122,1),(139,1),(141,1)}
       133:{2,5}:{(121,1),(123,1),(140,1)}
       134:{1,5,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       135:{2,6}:{(124,1),(125,1),(142,1)}
       136:{2,6,7}:{(127,1),(128,1),(143,1),(147,1)}
       137:{3,5,7}:{(128,1),(129,1),(130,1),(143,1),(144,1),(151,1)}
       138:{4,6}:{(129,1),(144,1),(145,1)}
       139:{3,4,7}:{(130,1),(131,1),(132,1),(144,1),(146,1)}
       140:{3,5}:{(131,1),(133,1),(145,1)}
       141:{2,5,7}:{(132,1),(133,1),(134,1),(146,1),(147,1)}
       142:{1,6}:{(134,1),(135,1),(147,1)}
       143:{3,6,7}:{(136,1),(137,1),(148,1),(150,1)}
       144:{4,7}:{(137,1),(138,1)}
       145:{4,5}:{(138,1),(140,1)}
       146:{3,5,7}:{(139,1),(140,1),(141,1),(149,1),(150,1)}
       147:{2,6}:{(141,1),(142,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1286 :   0:{3,4,6,7}:{(2,1),(3,1),(17,1),(23,1),(42,1)}
         1:{2,3,6,7}:{(2,1),(4,1),(5,1),(42,1),(66,1)}
         2:{2,4,6,7}:{(0,1),(1,1),(8,1),(9,1),(13,1),(29,1)}
         3:{3,5,7}:{(0,1),(7,1),(9,1),(10,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(30,1),(54,1),(78,1)}
         5:{2,3,5,7}:{(1,1),(6,1),(9,1),(12,1),(13,1),(33,1),(57,1),(58,1)}
         6:{2,3,5,6}:{(5,1),(14,1),(15,1),(16,1),(37,1),(42,1),(61,1),(62,1),(66,1),(103,1)}
         7:{3,5,6}:{(3,1),(16,1),(17,1),(42,1),(103,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(18,1),(19,1),(22,1),(41,1)}
         9:{2,5,7}:{(2,1),(3,1),(16,1),(19,1)}
        10:{4,5,7}:{(3,1),(17,1)}
        11:{2,6,7}:{(4,1),(21,1),(66,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(14,1),(19,1),(21,1),(22,1),(43,1),(46,1),(69,1),(70,1)}
        13:{2,4,7}:{(5,1),(15,1),(22,1),(23,1)}
        14:{1,3,5,6}:{(6,1),(12,1),(25,1),(26,1),(28,1),(49,1),(50,1),(52,1),(54,1),(73,1),(74,1),(78,1)}
        15:{2,4,6}:{(6,1),(13,1),(24,1),(26,1),(27,1),(104,1)}
        16:{2,5,6}:{(7,1),(9,1),(28,1),(29,1),(101,1)}
        17:{4,6}:{(7,1),(10,1),(104,1)}
        18:{2,4,6,7}:{(8,1),(11,1),(30,1),(31,1),(34,1),(53,1),(55,1)}
        19:{1,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(24,1),(29,1),(32,1),(33,1),(57,1),(95,1),(101,1),(104,1)}
        21:{2,5,7}:{(11,1),(12,1),(25,1),(34,1),(81,1)}
        22:{1,4,7}:{(12,1),(13,1),(26,1),(34,1),(55,1)}
        23:{3,4,7}:{(13,1),(27,1),(33,1),(104,1)}
        24:{2,4,5}:{(15,1),(36,1),(37,1),(61,1),(96,1)}
        25:{2,5,6}:{(14,1),(21,1),(38,1),(61,1),(66,1),(84,1)}
        26:{1,4,6}:{(14,1),(15,1),(22,1),(36,1),(38,1),(64,1)}
        27:{3,4,6}:{(15,1),(23,1),(37,1),(42,1)}
        28:{1,5,6}:{(16,1),(19,1),(40,1),(41,1),(97,1)}
        29:{2,4,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(66,1)}
        30:{3,6,7}:{(18,1),(43,1),(46,1),(65,1)}
        31:{2,5,7}:{(18,1),(19,1),(40,1),(43,1)}
        32:{1,4,5,7}:{(19,1),(20,1),(22,1),(36,1),(41,1),(44,1),(45,1),(69,1),(88,1),(97,1)}
        33:{3,5,7}:{(20,1),(23,1),(37,1),(42,1),(99,1),(103,1)}
        34:{2,4,7}:{(21,1),(22,1),(38,1),(46,1)}
        35:{1,3,4,7}:{(22,1),(23,1),(39,1),(45,1),(46,1),(47,1),(67,1),(70,1),(88,1),(99,1)}
        36:{1,4,5}:{(24,1),(26,1),(48,1),(49,1),(73,1),(75,1),(90,1),(104,1)}
        37:{3,5}:{(24,1),(27,1),(100,1)}
        38:{2,4,6}:{(25,1),(26,1),(34,1),(48,1),(50,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(35,1),(49,1),(50,1),(51,1),(54,1),(71,1),(74,1),(76,1),(90,1),(93,1),(100,1),(102,1),(104,1)}
        40:{2,5,6}:{(28,1),(31,1),(52,1),(53,1),(92,1)}
        41:{1,4,6}:{(28,1),(29,1),(32,1),(53,1),(54,1),(78,1)}
        42:{3,6}:{(29,1),(33,1)}
        43:{3,5,7}:{(30,1),(31,1),(52,1),(55,1)}
        44:{2,4,5,7}:{(31,1),(32,1),(34,1),(48,1),(53,1),(55,1),(56,1),(57,1),(75,1),(79,1),(92,1)}
        45:{1,3,5,7}:{(32,1),(33,1),(35,1),(49,1),(54,1),(56,1),(57,1)}
        46:{3,7}:{(34,1),(50,1)}
        47:{2,4,7}:{(35,1),(51,1),(57,1),(58,1),(59,1),(81,1)}
        48:{2,4,5}:{(36,1),(38,1),(60,1),(61,1),(82,1)}
        49:{1,3,5}:{(36,1),(37,1),(39,1),(60,1),(61,1),(85,1),(97,1),(103,1)}
        50:{3,6}:{(38,1),(46,1),(60,1)}
        51:{2,4,6}:{(39,1),(47,1),(61,1),(62,1),(63,1),(66,1),(82,1),(84,1),(96,1)}
        52:{3,5,6}:{(40,1),(43,1),(64,1),(65,1),(85,1)}
        53:{2,4,6}:{(40,1),(41,1),(44,1),(64,1),(65,1),(66,1)}
        54:{1,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1)}
        55:{4,7}:{(43,1),(64,1)}
        56:{3,5,7}:{(44,1),(46,1),(60,1),(65,1),(67,1),(85,1)}
        57:{2,5,7}:{(45,1),(47,1),(61,1),(66,1),(69,1)}
        58:{2,3,7}:{(46,1),(47,1),(62,1),(70,1),(99,1)}
        59:{1,4,7}:{(47,1),(63,1),(69,1),(70,1)}
        60:{3,5}:{(48,1),(50,1),(71,1)}
        61:{2,5}:{(49,1),(51,1),(73,1)}
        62:{2,3,6}:{(50,1),(51,1),(58,1),(72,1),(74,1),(100,1),(102,1)}
        63:{1,4,6}:{(51,1),(59,1),(73,1),(74,1),(78,1),(90,1)}
        64:{4,6}:{(52,1),(55,1),(75,1)}
        65:{3,6}:{(53,1),(56,1)}
        66:{2,6}:{(54,1),(57,1),(78,1)}
        67:{3,4,7}:{(55,1),(56,1),(71,1),(76,1),(79,1)}
        68:{2,3,5,7}:{(56,1),(57,1),(58,1),(72,1),(77,1),(79,1),(80,1),(92,1)}
        69:{1,5,7}:{(57,1),(59,1),(73,1),(78,1)}
        70:{1,3,7}:{(58,1),(59,1),(74,1),(81,1)}
        71:{3,4}:{(60,1),(82,1)}
        72:{2,3,5}:{(60,1),(61,1),(62,1),(82,1),(83,1),(103,1)}
        73:{1,5}:{(61,1),(63,1)}
        74:{1,3,6}:{(62,1),(63,1),(70,1),(83,1),(84,1)}
        75:{4,5}:{(64,1),(85,1)}
        76:{3,4,6}:{(64,1),(65,1),(67,1),(85,1),(86,1)}
        77:{2,3,6}:{(65,1),(66,1),(68,1),(86,1),(87,1)}
        78:{1,6}:{(66,1),(69,1)}
        79:{2,4,7}:{(67,1),(68,1),(82,1),(86,1),(88,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(70,1),(83,1),(87,1),(88,1),(89,1),(97,1),(99,1),(103,1)}
        81:{2,7}:{(70,1),(84,1)}
        82:{2,4}:{(71,1),(72,1),(90,1),(104,1)}
        83:{1,3,5}:{(72,1),(73,1),(74,1),(90,1),(91,1),(100,1)}
        84:{2,6}:{(74,1),(81,1),(91,1)}
        85:{3,5}:{(75,1),(76,1),(92,1)}
        86:{2,4,6}:{(76,1),(77,1),(79,1),(92,1),(93,1)}
        87:{1,3,6}:{(77,1),(78,1),(80,1),(93,1),(94,1),(102,1)}
        88:{1,4,7}:{(79,1),(80,1),(90,1),(93,1),(95,1),(104,1)}
        89:{2,5,7}:{(80,1),(81,1),(91,1),(94,1),(95,1),(101,1)}
        90:{1,4}:{(82,1),(83,1),(96,1)}
        91:{2,5}:{(83,1),(84,1),(96,1)}
        92:{2,5}:{(85,1),(86,1),(97,1)}
        93:{1,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1)}
        94:{2,6}:{(87,1),(89,1)}
        95:{2,4,7}:{(88,1),(89,1),(96,1),(98,1),(99,1)}
        96:{2,4}:{(90,1),(91,1),(100,1)}
        97:{1,5}:{(92,1),(93,1),(101,1)}
        98:{2,4,6}:{(93,1),(94,1),(95,1),(101,1),(102,1),(104,1)}
        99:{3,7}:{(95,1),(100,1),(102,1)}
       100:{3}:{(96,1)}
       101:{2,5}:{(97,1),(98,1),(103,1)}
       102:{3,6}:{(98,1),(99,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1287 :   0:{5,6,7}:{(1,1),(151,1)}
         1:{4,6,7}:{(0,1),(3,1),(4,1),(148,1)}
         2:{4,5,6}:{(3,1),(5,1),(139,1),(148,1)}
         3:{4,5,7}:{(1,1),(2,1),(7,1)}
         4:{3,6,7}:{(1,1),(7,1),(8,1),(144,1)}
         5:{3,5,6}:{(2,1),(7,1),(9,1),(10,1),(131,1),(144,1)}
         6:{3,4,5}:{(9,1),(11,1),(109,1),(131,1)}
         7:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
         8:{2,6,7}:{(4,1),(14,1),(15,1),(137,1)}
         9:{3,4,6}:{(5,1),(6,1),(13,1),(16,1)}
        10:{2,5,6}:{(5,1),(14,1),(16,1),(17,1),(120,1),(137,1)}
        11:{2,4,5}:{(6,1),(16,1),(18,1),(19,1),(93,1),(120,1)}
        12:{2,3,4}:{(18,1),(20,1),(64,1),(93,1)}
        13:{3,4,7}:{(7,1),(9,1),(21,1)}
        14:{2,5,7}:{(7,1),(8,1),(10,1),(21,1),(22,1)}
        15:{1,6,7}:{(8,1),(22,1),(23,1),(129,1)}
        16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(24,1),(25,1)}
        17:{1,5,6}:{(10,1),(22,1),(25,1),(26,1),(106,1),(129,1)}
        18:{2,3,5}:{(11,1),(12,1),(24,1),(27,1)}
        19:{1,4,5}:{(11,1),(25,1),(27,1),(28,1),(77,1),(106,1)}
        20:{1,3,4}:{(12,1),(27,1),(29,1),(50,1),(51,1),(77,1)}
        21:{2,4,7}:{(13,1),(14,1),(16,1),(30,1),(31,1)}
        22:{1,5,7}:{(14,1),(15,1),(17,1),(31,1),(32,1)}
        23:{2,6,7}:{(15,1),(32,1),(33,1),(117,1)}
        24:{2,3,6}:{(16,1),(18,1),(30,1),(34,1)}
        25:{1,4,6}:{(16,1),(17,1),(19,1),(31,1),(34,1),(35,1)}
        26:{2,5,6}:{(17,1),(32,1),(35,1),(36,1),(90,1),(117,1)}
        27:{1,3,5}:{(18,1),(19,1),(20,1),(34,1),(37,1),(38,1)}
        28:{2,4,5}:{(19,1),(35,1),(37,1),(38,1),(60,1),(62,1),(90,1)}
        29:{2,4}:{(20,1),(37,1),(40,1)}
        30:{2,3,7}:{(21,1),(24,1),(41,1)}
        31:{1,4,7}:{(21,1),(22,1),(25,1),(41,1),(42,1)}
        32:{2,5,7}:{(22,1),(23,1),(26,1),(42,1),(43,1)}
        33:{3,6,7}:{(23,1),(43,1),(44,1),(103,1)}
        34:{1,3,6}:{(24,1),(25,1),(27,1),(41,1),(45,1),(46,1)}
        35:{2,4,6}:{(25,1),(26,1),(28,1),(42,1),(45,1),(46,1),(47,1)}
        36:{3,5,6}:{(26,1),(43,1),(46,1),(47,1),(71,1),(74,1),(103,1)}
        37:{2,5}:{(27,1),(29,1),(45,1)}
        38:{3,5}:{(28,1),(46,1),(50,1)}
        39:{1,2,4}:{(29,1),(48,1),(51,1),(77,1),(80,1)}
        40:{2,3}:{(29,1),(51,1)}
        41:{1,3,7}:{(30,1),(31,1),(34,1),(53,1),(54,1)}
        42:{2,4,7}:{(31,1),(32,1),(35,1),(53,1),(54,1),(55,1)}
        43:{3,5,7}:{(32,1),(33,1),(36,1),(54,1),(55,1),(56,1)}
        44:{4,6,7}:{(33,1),(55,1),(56,1),(86,1)}
        45:{2,6}:{(34,1),(37,1),(53,1)}
        46:{3,6}:{(35,1),(38,1),(54,1)}
        47:{4,6}:{(36,1),(55,1),(60,1)}
        48:{1,2,5}:{(37,1),(39,1),(57,1),(61,1),(97,1)}
        49:{2,3,5}:{(37,1),(38,1),(40,1),(58,1),(61,1),(62,1),(90,1)}
        50:{3,4}:{(38,1),(62,1)}
        51:{1,3}:{(39,1),(40,1),(64,1)}
        52:{2,3,4}:{(40,1),(62,1),(65,1),(66,1)}
        53:{2,7}:{(41,1),(45,1)}
        54:{3,7}:{(42,1),(46,1)}
        55:{4,7}:{(43,1),(47,1)}
        56:{5,7}:{(44,1),(71,1)}
        57:{1,2,6}:{(45,1),(48,1),(67,1),(72,1),(113,1)}
        58:{2,3,6}:{(45,1),(46,1),(49,1),(68,1),(72,1),(73,1)}
        59:{3,4,6}:{(46,1),(47,1),(50,1),(69,1),(73,1),(74,1),(103,1)}
        60:{4,5}:{(47,1),(74,1)}
        61:{1,3,5}:{(48,1),(49,1),(51,1),(72,1),(76,1),(77,1),(106,1)}
        62:{2,4}:{(49,1),(50,1),(77,1)}
        63:{3,4,5}:{(50,1),(74,1),(78,1),(79,1)}
        64:{2,3}:{(51,1),(80,1)}
        65:{1,3,4}:{(51,1),(52,1),(77,1),(80,1),(81,1),(109,1)}
        66:{2,3,5}:{(52,1),(78,1),(81,1),(82,1)}
        67:{1,2,7}:{(53,1),(57,1),(83,1),(126,1)}
        68:{2,3,7}:{(53,1),(54,1),(58,1),(83,1),(84,1)}
        69:{3,4,7}:{(54,1),(55,1),(59,1),(84,1),(85,1)}
        70:{4,5,7}:{(55,1),(56,1),(60,1),(85,1),(86,1)}
        71:{5,6}:{(56,1),(86,1)}
        72:{1,3,6}:{(57,1),(58,1),(61,1),(83,1),(88,1),(89,1)}
        73:{2,4,6}:{(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(117,1)}
        74:{3,5}:{(59,1),(60,1),(90,1)}
        75:{4,5,6}:{(60,1),(86,1),(91,1),(92,1)}
        76:{2,3,5}:{(61,1),(64,1),(88,1),(93,1),(97,1),(120,1),(123,1)}
        77:{1,4}:{(61,1),(62,1),(93,1)}
        78:{2,4,5}:{(62,1),(63,1),(66,1),(90,1),(94,1),(95,1)}
        79:{3,4,6}:{(63,1),(91,1),(95,1),(96,1)}
        80:{2,4}:{(64,1),(65,1),(97,1)}
        81:{1,3,5}:{(65,1),(66,1),(94,1),(97,1),(98,1),(123,1)}
        82:{2,3,6}:{(66,1),(95,1),(98,1),(99,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1),(100,1),(101,1)}
        84:{2,4,7}:{(68,1),(69,1),(73,1),(101,1),(102,1)}
        85:{3,5,7}:{(69,1),(70,1),(74,1),(102,1),(103,1)}
        86:{4,6}:{(70,1),(71,1),(103,1)}
        87:{5,6,7}:{(71,1),(104,1)}
        88:{2,3,6}:{(72,1),(76,1),(100,1),(105,1),(113,1),(134,1)}
        89:{1,4,6}:{(72,1),(73,1),(77,1),(101,1),(105,1),(106,1),(129,1)}
        90:{2,5}:{(73,1),(74,1),(106,1)}
        91:{3,5,6}:{(74,1),(75,1),(79,1),(103,1),(107,1),(108,1)}
        92:{4,5,7}:{(75,1),(104,1),(108,1)}
        93:{2,4}:{(76,1),(77,1),(109,1)}
        94:{1,4,5}:{(77,1),(78,1),(81,1),(106,1),(110,1),(111,1)}
        95:{2,4,6}:{(78,1),(79,1),(82,1),(107,1),(111,1),(112,1)}
        96:{3,4,7}:{(79,1),(108,1),(112,1)}
        97:{2,5}:{(80,1),(81,1),(113,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1),(114,1),(134,1)}
        99:{2,3,7}:{(82,1),(112,1),(114,1)}
       100:{2,3,7}:{(83,1),(88,1),(115,1),(126,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(89,1),(115,1),(116,1)}
       102:{2,5,7}:{(84,1),(85,1),(90,1),(116,1),(117,1)}
       103:{3,6}:{(85,1),(86,1),(117,1)}
       104:{4,6,7}:{(86,1),(87,1),(92,1),(118,1)}
       105:{2,4,6}:{(88,1),(89,1),(93,1),(115,1),(119,1),(120,1),(137,1)}
       106:{1,5}:{(89,1),(90,1),(120,1)}
       107:{2,5,6}:{(90,1),(91,1),(95,1),(117,1),(121,1),(122,1)}
       108:{3,5,7}:{(91,1),(92,1),(96,1),(118,1),(122,1)}
       109:{3,4}:{(93,1),(123,1)}
       110:{2,4,5}:{(93,1),(94,1),(97,1),(120,1),(123,1),(124,1),(139,1)}
       111:{1,4,6}:{(94,1),(95,1),(98,1),(121,1),(124,1),(125,1)}
       112:{2,4,7}:{(95,1),(96,1),(99,1),(122,1),(125,1)}
       113:{2,6}:{(97,1),(98,1),(126,1)}
       114:{1,3,7}:{(98,1),(99,1),(125,1),(126,1),(142,1)}
       115:{2,4,7}:{(100,1),(101,1),(105,1),(127,1),(128,1)}
       116:{1,5,7}:{(101,1),(102,1),(106,1),(128,1),(129,1)}
       117:{2,6}:{(102,1),(103,1),(129,1)}
       118:{3,6,7}:{(103,1),(104,1),(108,1),(130,1)}
       119:{3,4,6}:{(105,1),(109,1),(127,1),(131,1),(134,1),(144,1),(146,1)}
       120:{2,5}:{(105,1),(106,1),(131,1)}
       121:{1,5,6}:{(106,1),(107,1),(111,1),(129,1),(132,1),(133,1)}
       122:{2,5,7}:{(107,1),(108,1),(112,1),(130,1),(133,1)}
       123:{3,5}:{(109,1),(110,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(113,1),(132,1),(134,1),(135,1),(146,1)}
       125:{1,4,7}:{(111,1),(112,1),(114,1),(133,1),(135,1)}
       126:{2,7}:{(113,1),(114,1)}
       127:{3,4,7}:{(115,1),(119,1),(136,1),(142,1),(150,1)}
       128:{2,5,7}:{(115,1),(116,1),(120,1),(136,1),(137,1)}
       129:{1,6}:{(116,1),(117,1),(137,1)}
       130:{2,6,7}:{(117,1),(118,1),(122,1),(138,1)}
       131:{3,5}:{(119,1),(120,1),(139,1)}
       132:{2,5,6}:{(120,1),(121,1),(124,1),(137,1),(140,1),(141,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1),(141,1)}
       134:{3,6}:{(123,1),(124,1),(142,1)}
       135:{2,4,7}:{(124,1),(125,1),(126,1),(141,1),(142,1),(150,1)}
       136:{3,5,7}:{(127,1),(128,1),(131,1),(143,1),(144,1)}
       137:{2,6}:{(128,1),(129,1),(144,1)}
       138:{1,6,7}:{(129,1),(130,1),(133,1),(145,1)}
       139:{4,5}:{(131,1),(146,1)}
       140:{3,5,6}:{(131,1),(132,1),(134,1),(144,1),(146,1),(147,1),(151,1)}
       141:{2,5,7}:{(132,1),(133,1),(135,1),(145,1),(147,1)}
       142:{3,7}:{(134,1),(135,1)}
       143:{4,5,7}:{(136,1),(139,1),(148,1),(150,1),(153,1)}
       144:{3,6}:{(136,1),(137,1),(148,1)}
       145:{2,6,7}:{(137,1),(138,1),(141,1),(149,1)}
       146:{4,6}:{(139,1),(140,1),(150,1)}
       147:{3,5,7}:{(140,1),(141,1),(142,1),(149,1),(150,1),(153,1)}
       148:{4,6}:{(143,1),(144,1),(151,1)}
       149:{3,6,7}:{(144,1),(145,1),(147,1),(152,1)}
       150:{4,7}:{(146,1),(147,1)}
       151:{5,6}:{(148,1),(153,1)}
       152:{4,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{5,7}:{(151,1),(152,1)}

1288 :   0:{1,2,7}:{(4,1),(5,1),(103,1)}
         1:{2,3,7}:{(5,1),(6,1),(7,1),(89,1),(103,1)}
         2:{3,4,7}:{(7,1),(8,1),(9,1),(63,1),(89,1)}
         3:{4,5,7}:{(9,1),(10,1),(31,1),(34,1),(63,1)}
         4:{1,2,6}:{(0,1),(12,1),(13,1),(97,1)}
         5:{1,3,7}:{(0,1),(1,1),(11,1),(13,1),(14,1),(104,1)}
         6:{2,3,6}:{(1,1),(13,1),(15,1),(16,1),(76,1),(97,1)}
         7:{2,4,7}:{(1,1),(2,1),(14,1),(16,1),(17,1)}
         8:{3,4,6}:{(2,1),(16,1),(18,1),(19,1),(43,1),(47,1),(76,1)}
         9:{3,5,7}:{(2,1),(3,1),(17,1),(18,1),(19,1)}
        10:{4,6}:{(3,1),(19,1),(20,1)}
        11:{2,3,7}:{(5,1),(22,1),(23,1),(101,1),(103,1)}
        12:{1,2,5}:{(4,1),(24,1),(25,1),(54,1),(86,1)}
        13:{1,3,6}:{(4,1),(5,1),(6,1),(22,1),(25,1),(26,1),(102,1)}
        14:{1,4,7}:{(5,1),(7,1),(23,1),(26,1),(27,1)}
        15:{2,3,5}:{(6,1),(25,1),(28,1),(29,1),(55,1),(60,1),(86,1)}
        16:{2,4,6}:{(6,1),(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        17:{2,5,7}:{(7,1),(9,1),(27,1),(29,1),(30,1)}
        18:{3,5}:{(8,1),(29,1),(31,1)}
        19:{3,6}:{(9,1),(10,1),(30,1)}
        20:{5,6}:{(10,1),(34,1)}
        21:{4,6,7}:{(10,1),(33,1),(34,1),(63,1)}
        22:{2,3,6}:{(11,1),(13,1),(36,1),(37,1),(94,1),(97,1)}
        23:{2,4,7}:{(11,1),(14,1),(35,1),(37,1),(38,1)}
        24:{1,2,4}:{(12,1),(39,1),(40,1),(72,1)}
        25:{1,3,5}:{(12,1),(13,1),(15,1),(36,1),(39,1),(40,1),(41,1),(71,1),(96,1)}
        26:{1,4,6}:{(13,1),(14,1),(16,1),(37,1),(40,1),(41,1),(42,1)}
        27:{1,5,7}:{(14,1),(17,1),(38,1),(41,1),(42,1)}
        28:{2,4}:{(15,1),(40,1),(43,1)}
        29:{2,5}:{(16,1),(18,1),(41,1)}
        30:{2,6}:{(17,1),(19,1),(42,1)}
        31:{4,5}:{(18,1),(47,1)}
        32:{3,5,6}:{(18,1),(19,1),(20,1),(45,1),(47,1),(48,1),(76,1)}
        33:{3,6,7}:{(19,1),(21,1),(46,1),(48,1)}
        34:{5,7}:{(20,1),(21,1)}
        35:{3,4,7}:{(23,1),(49,1),(50,1),(100,1),(101,1)}
        36:{2,3,5}:{(22,1),(25,1),(51,1),(52,1),(55,1),(82,1),(86,1)}
        37:{2,4,6}:{(22,1),(23,1),(26,1),(49,1),(51,1),(52,1),(53,1)}
        38:{2,5,7}:{(23,1),(27,1),(50,1),(52,1),(53,1)}
        39:{1,3}:{(24,1),(55,1)}
        40:{1,4}:{(25,1),(28,1),(51,1)}
        41:{1,5}:{(26,1),(29,1),(52,1)}
        42:{1,6}:{(27,1),(30,1),(53,1)}
        43:{3,4}:{(28,1),(60,1)}
        44:{2,4,5}:{(28,1),(29,1),(31,1),(57,1),(60,1),(61,1),(86,1)}
        45:{2,5,6}:{(29,1),(30,1),(32,1),(58,1),(61,1),(62,1)}
        46:{2,6,7}:{(30,1),(33,1),(59,1),(62,1)}
        47:{4,6}:{(31,1),(32,1),(63,1)}
        48:{3,5,7}:{(32,1),(33,1),(34,1),(62,1),(63,1),(89,1)}
        49:{3,4,6}:{(35,1),(37,1),(65,1),(66,1),(67,1),(92,1),(94,1)}
        50:{3,5,7}:{(35,1),(38,1),(64,1),(65,1),(66,1)}
        51:{2,4}:{(36,1),(40,1),(67,1)}
        52:{2,5}:{(37,1),(41,1),(65,1)}
        53:{2,6}:{(38,1),(42,1),(66,1)}
        54:{1,2}:{(71,1)}
        55:{2,3}:{(39,1),(71,1),(72,1)}
        56:{1,3,4}:{(39,1),(40,1),(43,1),(67,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(41,1),(44,1),(68,1),(73,1),(74,1),(96,1)}
        58:{1,5,6}:{(41,1),(42,1),(45,1),(69,1),(74,1),(75,1)}
        59:{1,6,7}:{(42,1),(46,1),(70,1),(75,1)}
        60:{3,5}:{(43,1),(44,1),(76,1)}
        61:{2,4,6}:{(44,1),(45,1),(47,1),(74,1),(76,1),(77,1),(97,1)}
        62:{2,5,7}:{(45,1),(46,1),(48,1),(75,1),(77,1)}
        63:{4,7}:{(47,1),(48,1)}
        64:{4,5,7}:{(50,1),(78,1),(79,1),(99,1),(100,1)}
        65:{3,5}:{(49,1),(52,1),(79,1)}
        66:{3,6}:{(50,1),(53,1),(78,1)}
        67:{3,4}:{(51,1),(82,1)}
        68:{2,4,5}:{(51,1),(52,1),(57,1),(79,1),(82,1),(83,1),(86,1)}
        69:{2,5,6}:{(52,1),(53,1),(58,1),(80,1),(83,1),(84,1)}
        70:{2,6,7}:{(53,1),(59,1),(81,1),(84,1)}
        71:{1,3}:{(54,1),(55,1),(85,1)}
        72:{2,4}:{(55,1),(56,1),(85,1),(86,1)}
        73:{1,3,5}:{(56,1),(57,1),(60,1),(82,1),(86,1),(87,1)}
        74:{1,4,6}:{(57,1),(58,1),(61,1),(83,1),(87,1),(88,1),(102,1)}
        75:{1,5,7}:{(58,1),(59,1),(62,1),(84,1),(88,1)}
        76:{3,6}:{(60,1),(61,1),(89,1)}
        77:{2,4,7}:{(61,1),(62,1),(63,1),(88,1),(89,1),(103,1)}
        78:{4,6}:{(64,1),(66,1),(90,1)}
        79:{4,5}:{(65,1),(92,1)}
        80:{3,5,6}:{(65,1),(66,1),(69,1),(90,1),(92,1),(93,1),(94,1)}
        81:{3,6,7}:{(66,1),(70,1),(91,1),(93,1)}
        82:{3,5}:{(67,1),(68,1),(94,1)}
        83:{2,4,6}:{(68,1),(69,1),(74,1),(92,1),(94,1),(95,1),(97,1)}
        84:{2,5,7}:{(69,1),(70,1),(75,1),(93,1),(95,1)}
        85:{1,4}:{(71,1),(72,1),(96,1)}
        86:{2,5}:{(72,1),(73,1),(96,1),(97,1)}
        87:{1,3,6}:{(73,1),(74,1),(76,1),(94,1),(97,1),(98,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1),(95,1),(98,1),(104,1)}
        89:{3,7}:{(76,1),(77,1)}
        90:{5,6}:{(78,1),(99,1)}
        91:{4,6,7}:{(78,1),(81,1),(99,1),(100,1)}
        92:{4,6}:{(79,1),(80,1),(100,1)}
        93:{3,5,7}:{(80,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        94:{3,6}:{(82,1),(83,1),(101,1)}
        95:{2,4,7}:{(83,1),(84,1),(88,1),(100,1),(101,1),(103,1)}
        96:{1,5}:{(85,1),(86,1),(102,1)}
        97:{2,6}:{(86,1),(87,1),(102,1),(103,1)}
        98:{1,3,7}:{(87,1),(88,1),(89,1),(101,1),(103,1)}
        99:{5,7}:{(90,1),(91,1)}
       100:{4,7}:{(92,1),(93,1)}
       101:{3,7}:{(94,1),(95,1)}
       102:{1,6}:{(96,1),(97,1),(104,1)}
       103:{2,7}:{(97,1),(98,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

1289 :  0:{1,2}:{(6,1)}
        1:{2,3}:{(6,1),(7,1)}
        2:{3,4}:{(7,1),(8,1)}
        3:{4,5}:{(8,1),(9,1)}
        4:{5,6}:{(9,1),(10,1)}
        5:{6,7}:{(10,1)}
        6:{1,3}:{(0,1),(1,1),(11,1),(12,1)}
        7:{2,4}:{(1,1),(2,1),(12,1),(13,1)}
        8:{3,5}:{(2,1),(3,1),(13,1),(14,1)}
        9:{4,6}:{(3,1),(4,1),(14,1),(15,1)}
       10:{5,7}:{(4,1),(5,1),(15,1)}
       11:{2,3}:{(6,1),(16,1)}
       12:{1,4}:{(6,1),(7,1),(16,1),(17,1)}
       13:{2,5}:{(7,1),(8,1),(17,1),(18,1)}
       14:{3,6}:{(8,1),(9,1),(18,1),(19,1)}
       15:{4,7}:{(9,1),(10,1),(19,1)}
       16:{2,4}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,5}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,6}:{(13,1),(14,1),(22,1),(23,1)}
       19:{3,7}:{(14,1),(15,1),(23,1)}
       20:{3,4}:{(16,1),(24,1)}
       21:{2,5}:{(16,1),(17,1),(24,1),(25,1)}
       22:{1,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,7}:{(18,1),(19,1),(26,1)}
       24:{3,5}:{(20,1),(21,1),(27,1),(28,1)}
       25:{2,6}:{(21,1),(22,1),(28,1),(29,1)}
       26:{1,7}:{(22,1),(23,1),(29,1)}
       27:{4,5}:{(24,1),(30,1)}
       28:{3,6}:{(24,1),(25,1),(30,1),(31,1)}
       29:{2,7}:{(25,1),(26,1),(31,1)}
       30:{4,6}:{(27,1),(28,1),(32,1),(33,1)}
       31:{3,7}:{(28,1),(29,1),(33,1)}
       32:{5,6}:{(30,1),(34,1)}
       33:{4,7}:{(30,1),(31,1),(34,1)}
       34:{5,7}:{(32,1),(33,1),(35,1)}
       35:{6,7}:{(34,1)}

1290 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1291 :   0:{1,2,3,5}:{(1,1),(2,1),(8,1),(12,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(17,1),(174,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(9,1),(12,1),(14,1),(38,1)}
         4:{1,3,4}:{(1,1),(8,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(40,1),(170,1),(172,1)}
         6:{1,2,3,7}:{(2,1),(13,1),(32,1)}
         7:{1,3,4,5}:{(8,1),(14,1),(15,1),(38,1),(79,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1),(17,1)}
         9:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(26,1),(50,1)}
        10:{2,3,4}:{(4,1),(16,1),(20,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(50,1),(60,1),(163,1),(167,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(23,1),(24,1),(173,1)}
        14:{2,4,5}:{(7,1),(16,1),(25,1),(26,1)}
        15:{1,3,4,6}:{(7,1),(17,1),(26,1),(27,1),(28,1),(50,1),(93,1)}
        16:{2,3,5}:{(8,1),(10,1),(14,1),(29,1),(30,1)}
        17:{1,3,6}:{(8,1),(9,1),(30,1),(32,1)}
        18:{1,2,5,6}:{(9,1),(12,1),(31,1),(33,1),(40,1),(42,1),(170,1)}
        19:{1,2,4,7}:{(9,1),(32,1),(33,1),(43,1),(72,1)}
        20:{1,3,4}:{(10,1),(29,1),(34,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(35,1),(36,1),(37,1),(70,1),(81,1),(151,1),(157,1)}
        22:{1,3,5}:{(11,1),(12,1),(36,1),(38,1)}
        23:{1,3,4,7}:{(11,1),(13,1),(32,1),(37,1),(39,1),(72,1),(171,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        25:{1,4,5}:{(14,1),(29,1),(41,1)}
        26:{2,4,6}:{(14,1),(15,1),(30,1),(41,1),(42,1),(43,1)}
        27:{1,3,5,6}:{(15,1),(42,1),(44,1),(45,1),(85,1)}
        28:{1,3,4,7}:{(15,1),(32,1),(43,1),(45,1),(72,1),(118,1)}
        29:{1,3,5}:{(16,1),(20,1),(25,1),(46,1),(47,1)}
        30:{2,3,6}:{(16,1),(17,1),(26,1),(47,1),(49,1)}
        31:{1,3,5,6}:{(17,1),(18,1),(22,1),(48,1),(50,1),(51,1),(60,1),(106,1),(146,1),(163,1)}
        32:{1,3,7}:{(17,1),(19,1),(49,1)}
        33:{1,2,5,7}:{(18,1),(19,1),(51,1),(52,1),(64,1),(173,1)}
        34:{1,2,4}:{(20,1),(46,1),(53,1)}
        35:{1,3,4,6}:{(20,1),(21,1),(47,1),(54,1),(55,1),(56,1),(91,1),(103,1),(133,1),(141,1)}
        36:{2,3,5}:{(21,1),(22,1),(55,1),(57,1)}
        37:{2,3,4,7}:{(21,1),(23,1),(49,1),(56,1),(58,1),(94,1),(164,1)}
        38:{1,4,5}:{(22,1),(50,1),(57,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(24,1),(58,1),(59,1),(60,1)}
        40:{1,2,6}:{(24,1),(60,1)}
        41:{1,4,6}:{(25,1),(26,1),(47,1),(61,1),(62,1)}
        42:{2,5,6}:{(26,1),(27,1),(61,1),(64,1)}
        43:{2,4,7}:{(26,1),(28,1),(49,1),(62,1),(64,1)}
        44:{1,4,5,6}:{(27,1),(50,1),(63,1),(65,1),(106,1),(146,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(64,1),(65,1),(66,1),(110,1)}
        46:{1,2,5}:{(29,1),(34,1),(67,1)}
        47:{1,3,6}:{(29,1),(30,1),(41,1),(67,1),(69,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(36,1),(42,1),(68,1),(70,1),(71,1),(81,1),(85,1),(127,1),(128,1),(151,1)}
        49:{2,3,7}:{(30,1),(32,1),(43,1),(69,1)}
        50:{1,4,6}:{(31,1),(38,1),(70,1),(72,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(33,1),(71,1),(72,1),(73,1),(120,1),(160,1),(171,1)}
        52:{1,2,6,7}:{(33,1),(40,1),(73,1),(87,1)}
        53:{1,2,3}:{(34,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(67,1),(74,1),(75,1),(76,1),(121,1),(123,1)}
        55:{1,3,5}:{(35,1),(36,1),(75,1),(77,1)}
        56:{1,3,4,7}:{(35,1),(37,1),(69,1),(76,1),(78,1),(116,1),(152,1)}
        57:{2,4,5}:{(36,1),(38,1),(70,1),(77,1),(79,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(39,1),(78,1),(80,1),(81,1)}
        59:{1,4,5,7}:{(38,1),(39,1),(72,1),(80,1),(82,1),(120,1)}
        60:{1,3,6}:{(39,1),(40,1),(81,1),(82,1)}
        61:{1,5,6}:{(41,1),(42,1),(84,1)}
        62:{1,4,7}:{(41,1),(43,1),(69,1),(84,1)}
        63:{2,4,5,6}:{(42,1),(44,1),(70,1),(83,1),(85,1),(86,1),(127,1),(128,1),(159,1)}
        64:{2,5,7}:{(42,1),(43,1),(45,1),(84,1),(87,1)}
        65:{1,4,5,7}:{(44,1),(45,1),(72,1),(86,1),(88,1),(120,1),(160,1)}
        66:{1,3,6,7}:{(45,1),(87,1),(88,1),(131,1)}
        67:{1,2,6}:{(46,1),(47,1),(90,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(55,1),(61,1),(89,1),(91,1),(92,1),(103,1),(133,1),(144,1)}
        69:{1,3,7}:{(47,1),(49,1),(62,1),(90,1)}
        70:{2,4,6}:{(48,1),(50,1),(57,1),(91,1),(93,1),(94,1)}
        71:{2,3,5,7}:{(48,1),(49,1),(51,1),(64,1),(92,1),(94,1),(95,1),(110,1),(140,1),(147,1),(164,1)}
        72:{1,4,7}:{(50,1),(51,1),(94,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(60,1),(95,1),(96,1),(169,1)}
        74:{1,2,3,6}:{(53,1),(54,1),(97,1),(98,1),(133,1)}
        75:{1,2,5}:{(54,1),(55,1)}
        76:{1,2,4,7}:{(54,1),(56,1),(90,1),(98,1),(100,1)}
        77:{1,4,5}:{(55,1),(57,1),(91,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(100,1),(102,1),(103,1)}
        79:{3,4,5}:{(57,1),(93,1)}
        80:{2,4,5,7}:{(57,1),(58,1),(59,1),(94,1),(102,1),(104,1),(105,1),(140,1)}
        81:{2,3,6}:{(58,1),(60,1),(103,1),(105,1)}
        82:{1,4,6}:{(59,1),(60,1),(105,1),(106,1)}
        83:{1,4,5,6}:{(61,1),(63,1),(91,1),(107,1),(108,1),(144,1)}
        84:{1,5,7}:{(61,1),(62,1),(64,1),(109,1)}
        85:{3,5,6}:{(63,1),(93,1),(110,1)}
        86:{2,4,5,7}:{(63,1),(64,1),(65,1),(94,1),(108,1),(110,1),(111,1),(140,1),(147,1),(166,1)}
        87:{2,6,7}:{(64,1),(66,1),(109,1)}
        88:{1,4,6,7}:{(65,1),(66,1),(111,1),(112,1),(169,1)}
        89:{1,2,5,6}:{(67,1),(68,1),(75,1),(113,1),(114,1),(123,1),(128,1)}
        90:{1,2,7}:{(67,1),(69,1)}
        91:{1,4,6}:{(68,1),(70,1),(77,1),(116,1)}
        92:{1,3,5,7}:{(68,1),(69,1),(71,1),(84,1),(114,1),(116,1),(117,1),(152,1),(155,1)}
        93:{3,4,6}:{(70,1),(79,1),(85,1),(118,1)}
        94:{2,4,7}:{(70,1),(71,1),(72,1),(116,1),(118,1)}
        95:{2,3,6,7}:{(71,1),(73,1),(81,1),(87,1),(117,1),(119,1),(131,1),(161,1)}
        96:{1,4,6,7}:{(72,1),(73,1),(82,1),(119,1),(120,1)}
        97:{1,2,3,5}:{(74,1),(75,1),(121,1),(122,1)}
        98:{1,2,3,7}:{(74,1),(76,1),(152,1)}
        99:{1,2,4,5}:{(75,1),(77,1),(113,1),(121,1),(122,1),(124,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(78,1),(123,1)}
       101:{1,3,4,5}:{(77,1),(79,1),(115,1),(122,1),(124,1)}
       102:{1,4,5,7}:{(77,1),(78,1),(80,1),(116,1),(125,1),(155,1)}
       103:{1,3,6}:{(78,1),(81,1),(123,1),(125,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(118,1),(126,1),(156,1)}
       105:{2,4,6}:{(80,1),(81,1),(82,1),(125,1),(126,1),(127,1)}
       106:{1,5,6}:{(82,1),(120,1),(127,1)}
       107:{1,3,5,6}:{(83,1),(85,1),(115,1),(128,1),(129,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(86,1),(116,1),(129,1),(130,1),(155,1)}
       109:{1,6,7}:{(84,1),(87,1)}
       110:{3,5,7}:{(85,1),(86,1),(118,1),(131,1)}
       111:{2,4,6,7}:{(86,1),(87,1),(88,1),(130,1),(131,1),(132,1),(161,1),(162,1)}
       112:{1,5,6,7}:{(88,1),(120,1),(132,1)}
       113:{1,2,4,6}:{(89,1),(91,1),(99,1),(133,1),(134,1),(136,1)}
       114:{1,2,5,7}:{(89,1),(90,1),(92,1),(134,1),(135,1),(147,1)}
       115:{1,3,4,6}:{(91,1),(93,1),(101,1),(107,1),(133,1),(136,1),(137,1)}
       116:{1,4,7}:{(91,1),(92,1),(94,1)}
       117:{1,3,6,7}:{(92,1),(95,1),(103,1),(109,1),(135,1),(138,1)}
       118:{3,4,7}:{(93,1),(94,1),(110,1)}
       119:{2,4,6,7}:{(94,1),(95,1),(96,1),(105,1),(138,1),(139,1),(140,1)}
       120:{1,5,7}:{(96,1),(106,1),(140,1)}
       121:{1,2,4}:{(97,1),(141,1)}
       122:{1,3,5}:{(99,1),(133,1),(141,1),(142,1)}
       123:{1,2,6}:{(100,1),(103,1)}
       124:{2,4,5}:{(101,1),(136,1),(142,1),(143,1)}
       125:{1,4,6}:{(102,1),(103,1),(105,1),(144,1)}
       126:{3,4,6}:{(104,1),(105,1),(145,1)}
       127:{2,5,6}:{(105,1),(106,1),(140,1),(144,1),(145,1)}
       128:{2,5,6}:{(107,1),(136,1),(146,1),(147,1)}
       129:{1,3,5,7}:{(107,1),(108,1),(110,1),(137,1),(147,1),(148,1)}
       130:{1,4,6,7}:{(108,1),(109,1),(111,1),(148,1),(149,1)}
       131:{3,6,7}:{(110,1),(111,1)}
       132:{2,5,6,7}:{(111,1),(112,1),(140,1),(149,1),(150,1)}
       133:{1,3,6}:{(113,1),(122,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(113,1),(114,1),(116,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(114,1),(117,1),(123,1),(161,1)}
       136:{2,4,6}:{(115,1),(124,1),(128,1),(151,1),(153,1),(154,1)}
       137:{1,3,4,7}:{(115,1),(116,1),(118,1),(129,1),(152,1),(154,1)}
       138:{1,4,6,7}:{(116,1),(117,1),(119,1),(125,1),(155,1)}
       139:{3,4,6,7}:{(118,1),(119,1),(126,1),(131,1),(156,1),(162,1)}
       140:{2,5,7}:{(119,1),(120,1),(127,1),(155,1),(156,1)}
       141:{1,3,4}:{(121,1),(122,1),(157,1)}
       142:{2,3,5}:{(122,1),(124,1),(151,1),(157,1),(158,1)}
       143:{1,4,5}:{(124,1),(153,1),(158,1)}
       144:{1,5,6}:{(125,1),(127,1),(155,1)}
       145:{3,5,6}:{(126,1),(127,1),(156,1),(159,1)}
       146:{1,5,6}:{(128,1),(153,1),(160,1)}
       147:{2,5,7}:{(128,1),(129,1),(154,1),(160,1),(161,1)}
       148:{1,3,6,7}:{(129,1),(130,1),(131,1),(161,1)}
       149:{1,5,6,7}:{(130,1),(132,1),(155,1)}
       150:{3,5,6,7}:{(131,1),(132,1),(156,1),(162,1)}
       151:{2,3,6}:{(133,1),(136,1),(142,1),(163,1),(164,1)}
       152:{1,3,7}:{(133,1),(134,1),(164,1)}
       153:{1,4,6}:{(136,1),(143,1),(146,1),(163,1),(165,1)}
       154:{2,4,7}:{(136,1),(137,1),(147,1),(164,1),(165,1)}
       155:{1,5,7}:{(138,1),(140,1),(144,1)}
       156:{3,5,7}:{(139,1),(140,1),(145,1),(166,1)}
       157:{2,3,4}:{(141,1),(142,1),(167,1)}
       158:{1,3,5}:{(142,1),(143,1),(163,1),(167,1),(168,1)}
       159:{4,5,6}:{(145,1),(166,1)}
       160:{1,5,7}:{(146,1),(147,1),(165,1),(169,1)}
       161:{2,6,7}:{(147,1),(148,1),(169,1)}
       162:{4,6,7}:{(150,1),(166,1)}
       163:{1,3,6}:{(151,1),(153,1),(158,1),(170,1),(171,1)}
       164:{2,3,7}:{(151,1),(152,1),(154,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(160,1),(171,1)}
       166:{4,5,7}:{(156,1),(159,1),(162,1)}
       167:{1,3,4}:{(157,1),(158,1),(172,1)}
       168:{1,2,5}:{(158,1),(170,1),(172,1)}
       169:{1,6,7}:{(160,1),(161,1)}
       170:{1,2,6}:{(163,1),(168,1),(173,1)}
       171:{1,3,7}:{(163,1),(164,1),(165,1),(173,1)}
       172:{1,2,4}:{(167,1),(168,1),(174,1)}
       173:{1,2,7}:{(170,1),(171,1)}
       174:{1,2,3}:{(172,1)}

1292 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1293 :   0:{1,2,5,6,7}:{(1,1),(2,1),(38,1),(81,1),(122,1),(127,1),(130,1)}
         1:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(22,1),(95,1),(99,1),(102,1),(156,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(107,1),(157,1),(161,1)}
         3:{1,2,4,5,6}:{(6,1),(8,1),(21,1),(28,1),(57,1),(62,1),(107,1),(112,1),(116,1),(153,1),(157,1),(161,1),(200,1),(205,1),(234,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(14,1),(34,1),(38,1),(70,1),(73,1),(76,1),(130,1),(132,1),(182,1)}
         5:{1,4,6,7}:{(1,1),(10,1),(11,1),(129,1),(181,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(13,1),(38,1),(41,1),(83,1),(127,1),(131,1),(136,1),(142,1),(181,1)}
         7:{1,3,6,7}:{(2,1),(13,1),(14,1),(133,1),(182,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(86,1),(133,1),(144,1),(182,1),(222,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(27,1),(48,1),(50,1),(59,1),(102,1),(111,1)}
        10:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(101,1),(157,1),(160,1)}
        11:{1,4,5,7}:{(5,1),(19,1),(21,1),(22,1),(99,1)}
        12:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(25,1),(56,1)}
        13:{1,3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1),(159,1),(169,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(26,1),(27,1),(106,1),(161,1)}
        15:{1,3,4,6}:{(8,1),(24,1),(25,1),(28,1),(200,1),(204,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(57,1),(61,1),(106,1),(112,1),(117,1),(161,1)}
        17:{1,2,5,6,7}:{(9,1),(30,1),(43,1),(73,1),(84,1),(124,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(31,1),(129,1),(138,1)}
        19:{2,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(34,1),(38,1),(73,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(75,1),(182,1),(184,1)}
        21:{1,4,5,6}:{(11,1),(33,1),(36,1),(124,1),(129,1),(188,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(34,1),(36,1),(38,1)}
        23:{2,4,6,7}:{(12,1),(14,1),(38,1),(39,1),(41,1),(80,1)}
        24:{1,3,4,5}:{(15,1),(40,1),(86,1),(141,1),(219,1),(222,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(41,1),(181,1),(184,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(16,1),(38,1),(41,1),(42,1),(136,1),(143,1)}
        27:{1,3,6,7}:{(14,1),(39,1),(42,1),(43,1),(133,1)}
        28:{2,4,6}:{(15,1),(16,1),(40,1),(41,1),(45,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(81,1),(86,1),(91,1),(133,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(47,1),(48,1),(51,1),(152,1),(157,1),(198,1)}
        31:{1,4,5,7}:{(18,1),(19,1),(49,1),(50,1),(59,1)}
        32:{1,3,4,6,7}:{(18,1),(20,1),(48,1),(50,1),(51,1),(93,1),(96,1)}
        33:{2,4,5,6}:{(19,1),(21,1),(49,1),(52,1),(57,1),(97,1),(101,1),(157,1),(205,1)}
        34:{3,5,7}:{(19,1),(20,1),(52,1)}
        35:{2,3,4,6,7}:{(20,1),(23,1),(51,1),(54,1),(55,1),(63,1),(101,1),(105,1),(106,1),(148,1),(151,1),(160,1),(204,1),(207,1),(231,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(52,1),(56,1),(57,1),(208,1)}
        37:{1,3,4,5,7}:{(22,1),(24,1),(25,1),(53,1),(56,1),(58,1),(103,1),(109,1),(159,1),(166,1),(208,1)}
        38:{2,5,7}:{(22,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(23,1),(27,1),(59,1),(64,1),(107,1)}
        40:{2,4,5}:{(24,1),(28,1),(61,1),(62,1),(112,1),(168,1)}
        41:{2,4,7}:{(25,1),(26,1),(28,1),(64,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(29,1),(59,1),(64,1),(65,1),(115,1)}
        43:{1,2,6,7}:{(27,1),(65,1),(161,1)}
        44:{2,3,4,6}:{(28,1),(61,1),(63,1),(66,1),(106,1),(117,1),(168,1),(204,1),(207,1)}
        45:{1,4,6}:{(28,1),(29,1),(62,1),(64,1)}
        46:{1,2,5,6}:{(29,1),(65,1),(67,1),(112,1),(161,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(69,1),(73,1),(84,1),(120,1),(126,1),(131,1),(138,1),(179,1),(214,1)}
        48:{1,3,6,7}:{(30,1),(69,1),(70,1),(176,1),(182,1)}
        49:{1,4,5,6}:{(31,1),(33,1),(71,1),(81,1),(129,1),(219,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(73,1)}
        51:{2,4,6,7}:{(32,1),(70,1),(73,1),(74,1),(120,1),(123,1)}
        52:{3,5,6}:{(33,1),(34,1),(75,1),(182,1),(222,1)}
        53:{3,4,5,7}:{(34,1),(75,1),(77,1),(184,1),(222,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(38,1),(73,1),(76,1),(77,1),(78,1),(222,1),(224,1),(240,1)}
        55:{1,3,4,6,7}:{(35,1),(39,1),(74,1),(78,1),(79,1),(85,1),(88,1),(128,1),(129,1),(133,1),(138,1),(174,1),(176,1),(181,1),(182,1),(184,1),(187,1),(218,1),(223,1),(239,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(75,1),(80,1),(129,1),(133,1),(182,1)}
        57:{2,5,6}:{(36,1),(38,1),(80,1),(81,1),(224,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(40,1),(41,1),(80,1),(82,1),(83,1),(136,1),(190,1),(224,1)}
        59:{1,5,7}:{(38,1),(39,1),(81,1)}
        60:{1,2,4,6,7}:{(39,1),(43,1),(79,1),(84,1),(85,1),(89,1),(134,1),(138,1),(214,1),(216,1),(239,1)}
        61:{2,3,5}:{(40,1),(44,1),(86,1),(222,1),(224,1)}
        62:{1,4,5}:{(40,1),(45,1),(86,1),(191,1)}
        63:{2,3,4,7}:{(41,1),(44,1),(82,1),(88,1),(143,1),(184,1),(190,1)}
        64:{1,4,7}:{(41,1),(42,1),(45,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(46,1),(89,1),(136,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(86,1),(88,1),(90,1),(91,1),(133,1),(141,1),(144,1),(191,1),(223,1)}
        67:{1,2,4,6}:{(45,1),(46,1),(87,1),(89,1),(90,1),(91,1)}
        68:{1,2,4,5,6}:{(47,1),(49,1),(92,1),(97,1),(108,1),(146,1),(152,1),(157,1),(163,1),(193,1),(198,1),(205,1),(225,1),(227,1),(243,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(92,1),(93,1),(94,1),(159,1),(229,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(94,1),(95,1),(151,1),(198,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(52,1),(96,1),(97,1),(232,1)}
        72:{1,3,4,5,7}:{(50,1),(53,1),(93,1),(96,1),(98,1),(103,1),(145,1),(154,1),(159,1),(203,1),(232,1)}
        73:{2,5,7}:{(50,1),(51,1),(97,1),(99,1)}
        74:{1,4,6,7}:{(51,1),(95,1),(99,1),(149,1),(152,1)}
        75:{3,4,6}:{(52,1),(53,1),(101,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(57,1),(97,1),(101,1),(102,1),(106,1),(151,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(160,1),(205,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(59,1),(99,1),(102,1),(103,1),(104,1),(159,1),(208,1),(232,1),(234,1),(243,1)}
        79:{2,4,6,7}:{(55,1),(104,1),(105,1),(114,1),(157,1),(160,1),(161,1),(196,1),(198,1),(207,1),(231,1)}
        80:{2,4,6}:{(56,1),(57,1),(58,1),(106,1),(107,1),(161,1)}
        81:{1,5,6}:{(57,1),(59,1),(107,1),(234,1)}
        82:{2,3,5,7}:{(58,1),(61,1),(63,1),(106,1),(109,1),(159,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(64,1),(107,1),(109,1),(209,1),(234,1)}
        84:{1,2,5,7}:{(59,1),(60,1),(104,1),(108,1),(111,1),(243,1)}
        85:{1,3,6,7}:{(60,1),(105,1),(111,1),(115,1),(162,1),(229,1),(230,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(112,1),(234,1)}
        87:{1,2,4,5}:{(62,1),(67,1),(112,1),(113,1),(168,1)}
        88:{1,3,4,7}:{(63,1),(64,1),(66,1),(109,1),(114,1),(115,1),(169,1),(209,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1)}
        90:{2,4,6}:{(66,1),(112,1),(114,1),(117,1),(161,1),(168,1)}
        91:{1,3,6}:{(67,1),(113,1),(115,1),(117,1)}
        92:{1,3,5,6}:{(68,1),(69,1),(118,1),(119,1),(176,1),(182,1),(210,1),(222,1),(238,1)}
        93:{1,3,4,7}:{(69,1),(118,1),(120,1),(138,1),(184,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(73,1),(119,1),(120,1),(121,1),(179,1),(215,1)}
        95:{1,3,6,7}:{(70,1),(74,1),(121,1),(122,1),(176,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(75,1),(123,1),(129,1),(176,1),(182,1)}
        97:{2,5,6}:{(71,1),(73,1),(123,1),(124,1),(240,1)}
        98:{2,4,5,7}:{(72,1),(73,1),(120,1),(123,1),(125,1),(126,1),(170,1),(179,1),(221,1),(240,1)}
        99:{1,5,7}:{(73,1),(74,1),(124,1)}
       100:{1,2,4,6,7}:{(74,1),(79,1),(122,1),(127,1),(128,1),(142,1),(175,1),(177,1),(181,1),(185,1),(223,1)}
       101:{2,4,6}:{(75,1),(76,1),(77,1),(129,1)}
       102:{1,3,5,6}:{(76,1),(78,1),(81,1),(124,1),(129,1),(130,1),(133,1),(176,1),(182,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(129,1),(131,1),(138,1),(181,1),(188,1),(219,1)}
       104:{2,5,7}:{(78,1),(79,1),(130,1),(224,1),(240,1)}
       105:{2,3,6,7}:{(79,1),(85,1),(128,1),(132,1),(143,1),(182,1),(186,1),(215,1),(217,1)}
       106:{2,3,6}:{(80,1),(82,1),(133,1),(182,1)}
       107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
       108:{1,2,5,6}:{(81,1),(84,1),(130,1),(134,1),(135,1),(216,1),(224,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(86,1),(88,1),(133,1),(136,1)}
       110:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(89,1),(131,1),(134,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       111:{1,3,5,7}:{(84,1),(85,1),(132,1),(135,1),(138,1)}
       112:{2,5}:{(86,1),(90,1)}
       113:{1,3,5}:{(87,1),(91,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(90,1),(136,1),(143,1)}
       115:{1,3,7}:{(89,1),(91,1),(143,1)}
       116:{1,2,4,6}:{(90,1),(139,1),(142,1),(144,1),(185,1),(191,1),(223,1)}
       117:{2,3,6}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(145,1),(146,1),(163,1),(204,1)}
       119:{2,3,5,6}:{(92,1),(94,1),(97,1),(146,1),(147,1),(151,1),(192,1),(198,1),(225,1),(228,1)}
       120:{2,4,7}:{(93,1),(94,1),(146,1),(149,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(99,1),(147,1),(149,1),(150,1),(197,1)}
       122:{1,2,6,7}:{(95,1),(150,1),(198,1)}
       123:{2,4,6}:{(96,1),(97,1),(98,1),(151,1),(152,1),(198,1)}
       124:{1,5,6}:{(97,1),(99,1),(152,1),(243,1)}
       125:{2,3,5,7}:{(98,1),(148,1),(151,1),(154,1),(159,1),(192,1)}
       126:{1,4,5,7}:{(98,1),(99,1),(149,1),(152,1),(154,1),(193,1),(233,1),(243,1)}
       127:{1,2,5,7}:{(99,1),(100,1),(104,1),(153,1),(156,1),(234,1)}
       128:{1,3,6,7}:{(100,1),(105,1),(156,1),(169,1),(197,1),(199,1),(206,1)}
       129:{1,4,6}:{(101,1),(102,1),(103,1),(157,1)}
       130:{2,5,6}:{(102,1),(104,1),(157,1),(161,1),(198,1)}
       131:{2,4,5,7}:{(103,1),(104,1),(157,1),(159,1),(160,1),(205,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(111,1),(156,1),(158,1),(159,1),(160,1)}
       133:{1,3,6}:{(106,1),(107,1),(109,1),(161,1)}
       134:{1,2,4,6}:{(107,1),(108,1),(110,1),(157,1),(161,1),(162,1),(163,1),(207,1)}
       135:{1,3,5,6}:{(108,1),(111,1),(158,1),(162,1),(163,1),(208,1),(230,1),(243,1)}
       136:{2,5,7}:{(109,1),(112,1),(114,1),(161,1)}
       137:{1,3,5,7}:{(110,1),(113,1),(115,1),(159,1),(162,1),(165,1),(166,1),(208,1)}
       138:{1,4,7}:{(111,1),(160,1),(163,1)}
       139:{1,2,5}:{(112,1),(116,1),(167,1),(234,1)}
       140:{2,3,5}:{(112,1),(113,1),(117,1),(167,1),(168,1)}
       141:{1,3,4}:{(113,1),(168,1)}
       142:{1,2,4,7}:{(114,1),(116,1),(164,1),(169,1),(209,1)}
       143:{2,3,7}:{(114,1),(115,1),(117,1),(169,1)}
       144:{1,3,6}:{(116,1),(117,1),(167,1),(169,1)}
       145:{1,3,4,5}:{(118,1),(170,1),(188,1),(210,1),(222,1),(237,1)}
       146:{2,4,6}:{(118,1),(119,1),(120,1),(170,1),(172,1)}
       147:{1,3,5,6}:{(119,1),(121,1),(124,1),(172,1),(173,1),(176,1),(210,1),(213,1)}
       148:{2,3,4,7}:{(120,1),(125,1),(171,1),(174,1),(184,1),(215,1),(221,1)}
       149:{1,4,7}:{(120,1),(121,1),(172,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(173,1),(175,1),(179,1)}
       151:{2,3,6}:{(123,1),(125,1),(176,1),(182,1)}
       152:{1,4,6}:{(123,1),(124,1),(126,1),(176,1)}
       153:{1,2,5,6}:{(124,1),(127,1),(130,1),(177,1),(178,1),(185,1),(240,1)}
       154:{1,3,5,7}:{(125,1),(126,1),(174,1),(176,1),(179,1),(210,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(131,1),(175,1),(177,1),(179,1),(180,1),(181,1),(211,1),(219,1),(221,1),(240,1)}
       156:{1,3,5,7}:{(127,1),(128,1),(132,1),(178,1),(181,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1)}
       158:{2,3,5,6}:{(130,1),(132,1),(135,1),(178,1),(182,1),(183,1),(186,1),(217,1),(222,1),(224,1),(240,1)}
       159:{3,5,7}:{(131,1),(182,1),(184,1),(222,1)}
       160:{2,4,7}:{(132,1),(138,1),(181,1),(183,1),(184,1)}
       161:{2,6}:{(133,1),(136,1)}
       162:{1,3,6}:{(134,1),(137,1),(182,1),(186,1)}
       163:{1,4,6}:{(135,1),(138,1),(183,1),(188,1)}
       164:{1,2,5,7}:{(136,1),(139,1),(142,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(136,1),(137,1),(140,1),(143,1),(186,1),(189,1),(190,1),(224,1)}
       166:{1,3,4,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(190,1)}
       167:{1,3,5}:{(139,1),(140,1),(144,1),(191,1)}
       168:{2,4}:{(140,1),(141,1),(191,1)}
       169:{1,3,7}:{(142,1),(143,1),(144,1)}
       170:{2,4,5}:{(145,1),(146,1),(192,1),(193,1),(225,1),(242,1)}
       171:{2,3,4,6}:{(146,1),(148,1),(151,1),(192,1),(194,1),(204,1),(228,1),(231,1),(242,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(193,1)}
       173:{1,2,5,6}:{(147,1),(150,1),(195,1),(198,1),(225,1)}
       174:{1,3,4,7}:{(148,1),(149,1),(154,1),(194,1),(196,1),(197,1),(229,1),(233,1)}
       175:{1,2,4,7}:{(149,1),(150,1),(195,1),(196,1),(197,1)}
       176:{1,3,6}:{(151,1),(152,1),(154,1),(198,1)}
       177:{1,2,4,6}:{(152,1),(153,1),(155,1),(157,1),(198,1),(199,1),(200,1),(231,1)}
       178:{1,3,5,6}:{(153,1),(156,1),(158,1),(199,1),(200,1),(206,1),(232,1),(234,1)}
       179:{2,5,7}:{(154,1),(196,1),(198,1),(225,1)}
       180:{1,3,5,7}:{(155,1),(159,1),(197,1),(199,1),(202,1),(203,1),(226,1),(232,1)}
       181:{1,4,7}:{(156,1),(160,1),(200,1)}
       182:{3,6}:{(157,1),(159,1)}
       183:{2,4,6}:{(158,1),(160,1),(163,1),(200,1),(204,1),(205,1)}
       184:{3,4,7}:{(159,1),(160,1),(204,1)}
       185:{1,2,6}:{(161,1),(164,1),(206,1)}
       186:{2,3,6}:{(161,1),(162,1),(165,1),(206,1),(207,1)}
       187:{1,3,4,6}:{(162,1),(163,1),(166,1),(204,1),(207,1),(208,1)}
       188:{1,4,5}:{(163,1),(205,1),(208,1),(243,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(167,1),(169,1),(206,1),(209,1),(234,1)}
       190:{2,4,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       191:{1,4}:{(167,1),(168,1)}
       192:{2,3,5}:{(170,1),(171,1),(210,1),(222,1),(240,1)}
       193:{1,4,5}:{(170,1),(172,1),(210,1),(244,1)}
       194:{1,3,4,6}:{(171,1),(172,1),(174,1),(176,1),(210,1),(212,1),(213,1),(237,1),(238,1),(239,1),(244,1)}
       195:{1,2,4,6}:{(172,1),(173,1),(175,1),(211,1),(212,1),(213,1)}
       196:{2,4,7}:{(174,1),(179,1),(212,1),(215,1)}
       197:{1,3,7}:{(175,1),(213,1),(215,1)}
       198:{2,6}:{(176,1),(179,1)}
       199:{1,3,6}:{(177,1),(180,1),(182,1),(217,1)}
       200:{1,4,6}:{(178,1),(181,1),(183,1),(219,1)}
       201:{1,2,5,7}:{(179,1),(214,1),(216,1),(220,1),(235,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(215,1),(217,1),(220,1),(221,1),(236,1),(240,1)}
       203:{1,3,4,7}:{(180,1),(181,1),(184,1),(218,1),(221,1),(237,1)}
       204:{3,4,6}:{(182,1),(183,1),(184,1),(222,1)}
       205:{2,4,5}:{(183,1),(188,1),(219,1),(222,1),(224,1),(240,1)}
       206:{1,3,6}:{(185,1),(186,1),(189,1),(223,1)}
       207:{2,4,6}:{(186,1),(187,1),(190,1),(223,1),(224,1)}
       208:{1,3,5}:{(187,1),(188,1),(222,1),(224,1)}
       209:{1,4,7}:{(189,1),(190,1),(191,1),(223,1)}
       210:{1,3,5}:{(192,1),(193,1),(194,1),(225,1),(243,1)}
       211:{1,2,4,5}:{(193,1),(195,1),(225,1),(226,1),(242,1)}
       212:{2,4,6}:{(194,1),(196,1),(198,1),(225,1),(228,1),(242,1)}
       213:{1,3,6}:{(195,1),(197,1),(226,1),(228,1)}
       214:{1,2,4,7}:{(196,1),(201,1),(227,1),(229,1),(233,1)}
       215:{2,3,7}:{(196,1),(197,1),(228,1),(229,1)}
       216:{1,2,6}:{(198,1),(201,1),(230,1)}
       217:{2,3,6}:{(198,1),(199,1),(202,1),(230,1),(231,1)}
       218:{1,3,4,6}:{(199,1),(200,1),(203,1),(204,1),(231,1),(232,1)}
       219:{1,4,5}:{(200,1),(205,1),(232,1),(234,1)}
       220:{1,3,5,7}:{(201,1),(202,1),(229,1),(230,1),(233,1),(241,1),(243,1)}
       221:{2,4,7}:{(202,1),(203,1),(231,1),(233,1),(242,1)}
       222:{3,5}:{(204,1),(205,1)}
       223:{1,4,6}:{(206,1),(207,1),(209,1),(234,1)}
       224:{2,5}:{(207,1),(208,1),(234,1)}
       225:{2,5}:{(210,1),(212,1)}
       226:{1,3,5}:{(211,1),(213,1),(236,1),(237,1)}
       227:{1,2,4,6}:{(212,1),(214,1),(216,1),(235,1),(238,1),(239,1),(244,1)}
       228:{2,3,6}:{(212,1),(213,1),(215,1),(236,1),(238,1)}
       229:{1,3,7}:{(214,1),(215,1),(238,1)}
       230:{1,3,6}:{(216,1),(217,1),(220,1),(239,1)}
       231:{2,4,6}:{(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,3,5}:{(218,1),(219,1),(222,1),(240,1)}
       233:{1,4,7}:{(220,1),(221,1),(239,1),(244,1)}
       234:{1,5}:{(223,1),(224,1)}
       235:{1,2,5}:{(225,1),(227,1),(241,1),(243,1)}
       236:{2,3,5}:{(225,1),(226,1),(228,1),(241,1),(242,1)}
       237:{1,3,4}:{(226,1),(242,1)}
       238:{1,3,6}:{(227,1),(228,1),(229,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(233,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1294 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1295 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1296 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1297 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1298 :   0:{1,3,4,5,6}:{(1,1),(2,1),(12,1),(46,1),(48,1),(106,1),(165,1),(173,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(54,1),(70,1),(115,1),(131,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(25,1),(67,1),(196,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(173,1)}
         4:{1,4,5,6,7}:{(10,1),(13,1),(89,1),(93,1),(164,1)}
         5:{1,3,4,6,7}:{(1,1),(13,1),(14,1),(38,1),(40,1),(93,1),(160,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(41,1),(96,1),(162,1)}
         7:{1,4,5,6}:{(2,1),(12,1),(15,1),(92,1),(224,1)}
         8:{2,3,4,5}:{(9,1),(18,1),(97,1),(101,1),(235,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(19,1),(20,1),(67,1),(110,1),(206,1)}
        10:{2,4,5,6,7}:{(4,1),(21,1),(22,1),(26,1),(60,1),(63,1),(126,1),(195,1)}
        11:{2,3,5,7}:{(3,1),(6,1),(19,1),(23,1),(24,1),(185,1)}
        12:{1,3,5,6}:{(3,1),(7,1),(20,1),(24,1),(25,1)}
        13:{1,3,5,6,7}:{(4,1),(5,1),(22,1),(26,1),(131,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(65,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(24,1),(27,1),(124,1),(192,1)}
        16:{1,2,4,5,6}:{(7,1),(25,1),(28,1),(29,1),(53,1),(67,1),(125,1),(137,1),(140,1),(179,1),(193,1),(196,1),(197,1),(204,1),(239,1),(256,1),(283,1)}
        17:{2,3,4,5,7}:{(8,1),(19,1),(30,1),(31,1),(55,1),(129,1),(133,1),(176,1),(198,1),(237,1),(245,1),(256,1),(282,1),(285,1)}
        18:{1,3,4,5}:{(8,1),(20,1),(32,1),(74,1),(125,1)}
        19:{2,3,4,7}:{(9,1),(11,1),(34,1),(96,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(18,1),(34,1),(35,1),(82,1),(92,1)}
        21:{1,4,5,6,7}:{(10,1),(36,1),(43,1),(93,1),(223,1)}
        22:{3,5,6,7}:{(10,1),(38,1),(160,1),(225,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(40,1),(160,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(34,1),(40,1),(41,1)}
        25:{2,5,6}:{(12,1),(35,1),(41,1)}
        26:{2,5,6,7}:{(13,1),(14,1),(43,1),(162,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(40,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(41,1),(44,1),(45,1),(81,1),(96,1),(147,1),(151,1),(159,1),(162,1),(164,1),(211,1),(214,1),(263,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(82,1),(150,1),(173,1),(216,1),(277,1),(298,1)}
        30:{2,3,4,6}:{(17,1),(49,1),(50,1),(163,1),(167,1),(229,1),(269,1),(298,1),(300,1)}
        31:{1,3,4,5,7}:{(17,1),(18,1),(34,1),(50,1),(51,1),(84,1),(104,1),(159,1),(208,1),(214,1),(217,1),(227,1),(234,1),(235,1),(299,1)}
        32:{2,4,5}:{(18,1),(35,1),(52,1)}
        33:{2,3,4,6,7}:{(19,1),(23,1),(30,1),(55,1),(56,1),(63,1),(120,1),(128,1),(176,1),(177,1),(194,1),(237,1),(248,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(24,1),(57,1),(113,1),(124,1)}
        35:{2,4,6}:{(20,1),(25,1),(32,1),(57,1),(58,1)}
        36:{1,3,5,6,7}:{(21,1),(22,1),(59,1),(60,1),(249,1)}
        37:{1,2,5,6}:{(25,1),(53,1),(61,1),(62,1),(179,1),(239,1)}
        38:{3,4,6,7}:{(22,1),(54,1),(63,1)}
        39:{2,3,5,6,7}:{(22,1),(23,1),(26,1),(55,1),(60,1),(63,1),(64,1),(120,1)}
        40:{1,3,6,7}:{(23,1),(24,1),(27,1),(65,1)}
        41:{2,5,7}:{(24,1),(25,1),(57,1),(65,1)}
        42:{2,3,5,6}:{(25,1),(29,1),(58,1),(62,1),(66,1),(67,1),(110,1),(119,1),(179,1),(188,1),(196,1),(239,1)}
        43:{1,5,6,7}:{(26,1),(27,1),(192,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(65,1),(68,1),(69,1),(126,1),(128,1),(130,1),(193,1),(239,1),(283,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(66,1),(69,1),(70,1),(113,1),(185,1),(282,1)}
        46:{1,3,4,6}:{(29,1),(67,1),(70,1),(71,1),(204,1),(206,1),(255,1)}
        47:{1,2,4,5}:{(32,1),(53,1),(74,1),(125,1),(134,1),(179,1)}
        48:{3,4,5,6}:{(54,1),(75,1),(251,1),(255,1)}
        49:{2,3,5,6}:{(30,1),(55,1),(75,1),(76,1),(196,1),(251,1),(288,1)}
        50:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(138,1),(193,1),(204,1),(206,1),(309,1)}
        51:{2,4,5,7}:{(31,1),(32,1),(57,1),(77,1),(78,1),(116,1),(186,1),(207,1),(236,1),(252,1)}
        52:{2,3,5}:{(32,1),(58,1),(74,1),(79,1)}
        53:{1,2,4,6}:{(35,1),(37,1),(47,1),(81,1),(82,1),(92,1),(144,1)}
        54:{3,4,5,7}:{(38,1),(48,1),(83,1),(225,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(49,1),(83,1),(84,1),(162,1),(225,1),(271,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(40,1),(50,1),(84,1),(85,1),(93,1),(148,1),(155,1),(158,1),(160,1),(208,1),(214,1),(217,1),(270,1)}
        57:{2,4,7}:{(34,1),(35,1),(41,1),(86,1)}
        58:{2,3,6}:{(35,1),(52,1),(82,1),(86,1)}
        59:{1,3,4,6,7}:{(36,1),(38,1),(80,1),(88,1),(93,1),(155,1),(160,1)}
        60:{2,5,6,7}:{(36,1),(88,1),(89,1),(271,1)}
        61:{1,2,5,7}:{(37,1),(41,1),(81,1),(90,1),(91,1),(211,1)}
        62:{1,3,5,6}:{(37,1),(42,1),(82,1),(91,1),(92,1),(150,1),(216,1),(224,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(83,1),(93,1)}
        64:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(84,1),(89,1),(93,1),(94,1),(155,1),(160,1)}
        65:{2,6,7}:{(40,1),(41,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(86,1),(91,1),(95,1),(96,1),(143,1),(162,1),(211,1)}
        67:{2,4,6}:{(42,1),(46,1),(92,1),(96,1),(97,1)}
        68:{1,2,5,6,7}:{(43,1),(44,1),(94,1),(98,1),(147,1),(162,1),(220,1),(224,1),(264,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(95,1),(160,1),(216,1),(298,1)}
        70:{1,3,4,7}:{(45,1),(46,1),(96,1),(214,1),(217,1),(262,1)}
        71:{1,3,4,5}:{(46,1),(97,1),(150,1),(234,1),(235,1),(277,1)}
        72:{1,3,4,5,6}:{(48,1),(80,1),(102,1),(106,1),(169,1),(173,1),(233,1),(272,1)}
        73:{1,2,4,5,7}:{(47,1),(51,1),(81,1),(103,1),(104,1),(147,1),(159,1),(168,1),(211,1),(214,1),(230,1),(234,1),(260,1),(263,1),(273,1),(299,1),(312,1)}
        74:{1,3,5}:{(47,1),(52,1),(82,1),(101,1),(105,1)}
        75:{2,4,5,6}:{(48,1),(49,1),(83,1),(106,1),(229,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(84,1),(106,1),(107,1),(173,1),(224,1),(301,1)}
        77:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        78:{2,3,5,7}:{(51,1),(52,1),(86,1),(104,1),(108,1),(109,1),(175,1),(261,1),(274,1)}
        79:{2,3,4}:{(52,1),(105,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(72,1),(111,1),(115,1),(180,1),(185,1),(242,1),(249,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(61,1),(113,1),(124,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(74,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(63,1),(75,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(76,1),(115,1),(116,1),(185,1),(192,1),(287,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(117,1),(186,1),(189,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(67,1),(79,1),(114,1),(118,1),(119,1),(188,1),(255,1)}
        88:{2,4,6,7}:{(59,1),(60,1),(111,1),(120,1),(121,1),(189,1)}
        89:{1,5,6,7}:{(60,1),(121,1),(287,1)}
        90:{1,2,6,7}:{(61,1),(65,1),(123,1),(239,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(66,1),(113,1),(123,1),(124,1),(192,1)}
        92:{1,4,6}:{(62,1),(67,1),(124,1),(125,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(115,1),(126,1)}
        94:{2,5,6,7}:{(64,1),(65,1),(116,1),(126,1),(189,1)}
        95:{2,3,6,7}:{(65,1),(66,1),(69,1),(123,1),(128,1),(188,1),(239,1)}
        96:{2,4,7}:{(66,1),(67,1),(70,1),(124,1)}
        97:{2,4,5}:{(67,1),(71,1),(119,1),(125,1),(179,1)}
        98:{1,3,5,6,7}:{(68,1),(69,1),(127,1),(130,1),(131,1),(182,1),(244,1),(247,1),(287,1)}
        99:{1,3,4,6,7}:{(69,1),(70,1),(128,1),(130,1),(131,1),(132,1),(194,1)}
       100:{1,3,4,5,7}:{(70,1),(71,1),(129,1),(131,1),(132,1),(184,1),(243,1),(245,1),(282,1)}
       101:{2,3,5}:{(74,1),(110,1),(134,1),(179,1)}
       102:{2,4,5,6}:{(72,1),(111,1),(135,1),(136,1),(202,1),(258,1),(288,1)}
       103:{1,2,4,6}:{(73,1),(77,1),(137,1),(138,1),(193,1),(201,1),(204,1),(239,1),(283,1),(309,1),(314,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(78,1),(113,1),(133,1),(138,1),(139,1),(205,1),(280,1),(282,1),(289,1)}
       105:{1,3,4}:{(74,1),(79,1),(134,1)}
       106:{1,4,5,6}:{(75,1),(76,1),(115,1),(140,1),(204,1)}
       107:{2,5,6}:{(76,1),(77,1),(116,1)}
       108:{2,3,6}:{(77,1),(78,1),(138,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(139,1),(142,1),(186,1),(290,1)}
       110:{2,3,6}:{(82,1),(101,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(88,1),(102,1),(145,1),(146,1),(212,1),(266,1),(271,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(103,1),(147,1),(148,1),(158,1),(210,1),(214,1),(220,1),(260,1),(270,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(105,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(106,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(107,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(108,1),(148,1),(152,1),(160,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(96,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(97,1),(150,1),(277,1)}
       120:{2,3,6,7}:{(88,1),(145,1),(155,1),(160,1)}
       121:{1,4,6,7}:{(88,1),(89,1),(146,1),(155,1)}
       122:{1,2,5,6,7}:{(89,1),(90,1),(94,1),(147,1),(156,1),(157,1),(264,1),(271,1),(301,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(95,1),(158,1),(216,1)}
       124:{1,4,7}:{(91,1),(92,1),(96,1)}
       125:{1,4,5}:{(92,1),(97,1),(150,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(151,1),(160,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(98,1),(152,1),(157,1),(160,1),(161,1),(162,1),(209,1),(219,1),(221,1),(225,1),(264,1),(271,1),(298,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(99,1),(158,1),(162,1),(163,1)}
       129:{2,4,5,7}:{(96,1),(97,1),(100,1),(154,1),(159,1),(162,1),(163,1),(211,1)}
       130:{1,4,6,7}:{(98,1),(161,1),(164,1),(214,1),(268,1)}
       131:{1,3,5,7}:{(99,1),(162,1),(164,1),(165,1),(225,1)}
       132:{1,3,4,6}:{(100,1),(163,1),(165,1),(216,1),(268,1),(269,1),(298,1)}
       133:{2,3,5,7}:{(101,1),(104,1),(143,1),(167,1),(168,1),(211,1),(230,1),(295,1),(302,1),(312,1)}
       134:{2,4}:{(101,1),(105,1)}
       135:{2,3,5,6}:{(102,1),(145,1),(166,1),(169,1),(173,1)}
       136:{1,4,5,6}:{(102,1),(146,1),(169,1),(278,1),(301,1)}
       137:{1,2,5,6}:{(103,1),(107,1),(147,1),(171,1),(224,1),(230,1),(264,1),(301,1)}
       138:{1,3,6}:{(103,1),(104,1),(108,1),(167,1),(298,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(168,1),(172,1),(214,1),(262,1),(303,1)}
       140:{2,4,5,6}:{(106,1),(107,1),(151,1),(173,1),(174,1)}
       141:{2,3,5,6}:{(107,1),(108,1),(152,1),(171,1),(173,1),(174,1),(175,1)}
       142:{2,3,4,6}:{(108,1),(109,1),(172,1),(174,1),(175,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(134,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(120,1),(135,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(121,1),(136,1),(180,1),(284,1),(287,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(137,1),(182,1),(192,1),(238,1),(287,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(138,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(124,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(125,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(126,1),(140,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(141,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(128,1),(142,1),(183,1),(186,1),(187,1),(188,1),(194,1),(246,1),(248,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(129,1),(184,1),(188,1),(282,1)}
       155:{1,3,6,7}:{(120,1),(121,1),(180,1),(189,1)}
       156:{1,2,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(189,1),(190,1),(191,1),(248,1),(283,1),(309,1),(314,1)}
       157:{1,3,5,6,7}:{(122,1),(123,1),(127,1),(182,1),(190,1),(191,1),(192,1),(244,1),(249,1)}
       158:{1,4,6,7}:{(123,1),(124,1),(128,1),(192,1),(193,1)}
       159:{1,4,5,7}:{(124,1),(125,1),(129,1),(184,1),(192,1),(193,1)}
       160:{3,6,7}:{(126,1),(185,1)}
       161:{2,4,6,7}:{(127,1),(130,1),(186,1),(191,1),(194,1),(195,1),(237,1),(246,1),(283,1)}
       162:{2,5,7}:{(128,1),(131,1),(192,1),(196,1)}
       163:{2,4,6}:{(129,1),(132,1),(188,1),(193,1),(196,1),(239,1)}
       164:{1,4,5,7}:{(130,1),(131,1),(195,1),(197,1),(287,1)}
       165:{1,3,5,6}:{(131,1),(132,1),(196,1),(197,1),(251,1)}
       166:{2,3,4,6}:{(135,1),(176,1),(198,1),(199,1),(206,1),(258,1),(291,1)}
       167:{2,3,6}:{(133,1),(138,1),(201,1),(239,1),(314,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1),(310,1)}
       169:{1,3,5,6}:{(135,1),(136,1),(180,1),(199,1),(202,1)}
       170:{1,2,4,5,6}:{(136,1),(137,1),(140,1),(181,1),(202,1),(203,1),(204,1),(250,1),(253,1),(256,1),(258,1),(283,1),(288,1),(294,1),(309,1),(311,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(182,1),(200,1),(204,1),(205,1)}
       172:{1,3,4,6}:{(138,1),(139,1),(142,1),(201,1),(204,1),(205,1),(255,1)}
       173:{3,5,6}:{(140,1),(185,1),(206,1)}
       174:{2,4,6}:{(141,1),(186,1),(204,1),(206,1),(207,1)}
       175:{2,3,5}:{(142,1),(205,1),(207,1)}
       176:{2,3,4,7}:{(145,1),(166,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(167,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(155,1),(169,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(156,1),(170,1),(212,1),(213,1),(214,1),(223,1),(260,1),(263,1),(266,1),(271,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(171,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(158,1),(172,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(270,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(159,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(160,1),(173,1),(217,1)}
       186:{2,4,7}:{(152,1),(174,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(162,1),(175,1),(215,1),(218,1),(219,1),(225,1),(271,1)}
       188:{2,3,6}:{(154,1),(163,1),(216,1),(298,1)}
       189:{2,6,7}:{(155,1),(212,1)}
       190:{1,3,6,7}:{(156,1),(160,1),(213,1),(221,1),(298,1),(313,1)}
       191:{1,4,6,7}:{(157,1),(161,1),(214,1),(223,1),(268,1)}
       192:{1,5,7}:{(158,1),(162,1),(224,1)}
       193:{1,4,6}:{(159,1),(163,1),(216,1),(224,1)}
       194:{3,4,6,7}:{(160,1),(161,1),(217,1),(225,1),(262,1),(269,1),(298,1)}
       195:{2,4,5,7}:{(161,1),(162,1),(164,1),(223,1),(225,1),(226,1),(271,1)}
       196:{2,5,6}:{(162,1),(163,1),(165,1),(224,1)}
       197:{1,4,5,6}:{(164,1),(165,1),(226,1),(268,1),(301,1)}
       198:{2,3,4,5}:{(166,1),(227,1),(235,1),(279,1),(302,1)}
       199:{1,3,4,6}:{(166,1),(169,1),(208,1),(227,1),(228,1),(275,1),(278,1)}
       200:{2,3,5,6}:{(167,1),(171,1),(209,1),(229,1),(230,1),(264,1),(277,1),(298,1)}
       201:{2,4,6}:{(167,1),(168,1),(172,1),(230,1)}
       202:{2,5,6}:{(169,1),(212,1),(228,1)}
       203:{1,3,5,6}:{(170,1),(173,1),(213,1),(232,1),(233,1),(275,1),(277,1),(298,1),(305,1),(313,1)}
       204:{1,4,6}:{(171,1),(174,1),(214,1),(229,1),(234,1)}
       205:{1,3,5}:{(172,1),(175,1),(230,1),(234,1),(277,1)}
       206:{3,4,6}:{(173,1),(174,1),(217,1),(235,1)}
       207:{2,4,5}:{(174,1),(175,1),(234,1),(235,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(199,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(200,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(201,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(189,1),(202,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(190,1),(203,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(204,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(192,1),(205,1),(238,1),(243,1),(244,1),(282,1),(287,1)}
       216:{1,3,6}:{(184,1),(188,1),(193,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(206,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(207,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(196,1),(244,1),(246,1),(251,1),(288,1),(308,1)}
       220:{1,2,6,7}:{(189,1),(240,1),(247,1),(314,1)}
       221:{2,3,6,7}:{(189,1),(190,1),(241,1),(247,1),(248,1),(308,1),(314,1)}
       222:{1,3,4,6,7}:{(190,1),(191,1),(194,1),(242,1),(248,1),(249,1),(286,1)}
       223:{1,4,5,7}:{(191,1),(192,1),(195,1),(249,1),(250,1)}
       224:{1,5,6}:{(192,1),(193,1),(196,1)}
       225:{3,5,7}:{(194,1),(195,1),(251,1)}
       226:{2,4,5,6}:{(195,1),(196,1),(197,1),(246,1),(250,1),(251,1),(283,1),(288,1)}
       227:{1,3,4,5}:{(198,1),(199,1),(252,1),(289,1),(294,1)}
       228:{2,4,6}:{(199,1),(202,1),(236,1),(252,1),(254,1)}
       229:{2,4,6}:{(200,1),(204,1),(237,1),(255,1),(256,1)}
       230:{2,5}:{(201,1),(205,1)}
       231:{1,2,5,6}:{(202,1),(240,1),(253,1),(257,1),(311,1),(314,1)}
       232:{2,3,5,6}:{(202,1),(203,1),(241,1),(254,1),(257,1),(258,1),(288,1),(291,1),(293,1),(308,1),(311,1),(314,1)}
       233:{1,3,4,6}:{(203,1),(204,1),(206,1),(242,1),(255,1),(258,1),(259,1)}
       234:{1,4,5}:{(204,1),(205,1),(207,1),(256,1)}
       235:{3,4,5}:{(206,1),(207,1)}
       236:{2,4,7}:{(208,1),(212,1),(228,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(229,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(230,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(220,1),(231,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(221,1),(232,1),(261,1),(265,1),(266,1),(271,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(234,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(224,1),(264,1),(268,1),(298,1),(301,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(225,1),(235,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{1,3,6,7}:{(220,1),(221,1),(265,1),(270,1),(313,1)}
       248:{2,4,6,7}:{(221,1),(222,1),(266,1),(270,1),(271,1),(300,1)}
       249:{1,3,5,7}:{(222,1),(223,1),(225,1),(271,1),(272,1)}
       250:{1,4,5,6}:{(223,1),(224,1),(226,1),(268,1),(272,1)}
       251:{3,5,6}:{(225,1),(226,1),(269,1),(298,1)}
       252:{2,4,5}:{(227,1),(228,1),(274,1)}
       253:{1,2,4,6}:{(228,1),(231,1),(260,1),(273,1),(275,1),(278,1),(304,1)}
       254:{2,3,6}:{(228,1),(261,1),(274,1),(275,1)}
       255:{3,4,6}:{(229,1),(262,1),(277,1),(298,1)}
       256:{2,4,5}:{(229,1),(230,1),(234,1),(277,1)}
       257:{1,3,5,6}:{(231,1),(232,1),(265,1),(275,1),(278,1),(301,1),(305,1),(313,1)}
       258:{2,4,6}:{(232,1),(233,1),(266,1),(278,1),(279,1)}
       259:{1,3,4,5}:{(233,1),(234,1),(235,1),(277,1),(279,1),(305,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(253,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(254,1),(280,1)}
       262:{3,4,7}:{(237,1),(255,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(256,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(247,1),(257,1),(280,1),(284,1),(287,1)}
       266:{2,4,7}:{(241,1),(242,1),(258,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(249,1),(259,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(251,1)}
       270:{1,4,6,7}:{(247,1),(248,1),(284,1),(287,1),(309,1)}
       271:{2,5,7}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,5,6}:{(249,1),(250,1),(251,1),(286,1),(288,1)}
       273:{1,2,4,5}:{(252,1),(253,1),(289,1),(294,1),(310,1),(311,1)}
       274:{2,3,5}:{(252,1),(254,1),(289,1),(290,1)}
       275:{1,3,6}:{(253,1),(254,1),(280,1),(289,1),(291,1)}
       276:{2,3,4,6}:{(254,1),(255,1),(258,1),(281,1),(290,1),(292,1),(293,1),(308,1)}
       277:{3,5}:{(255,1),(256,1)}
       278:{1,4,6}:{(257,1),(258,1),(284,1),(294,1)}
       279:{2,4,5}:{(258,1),(259,1),(293,1),(294,1),(311,1)}
       280:{1,3,7}:{(260,1),(261,1),(275,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(276,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(277,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(278,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(271,1),(279,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(272,1),(298,1),(300,1),(313,1)}
       287:{1,5,7}:{(270,1),(271,1),(301,1)}
       288:{2,5,6}:{(271,1),(272,1),(300,1),(301,1)}
       289:{1,3,5}:{(273,1),(274,1),(275,1),(302,1),(303,1)}
       290:{2,3,4}:{(274,1),(303,1)}
       291:{2,3,6}:{(275,1),(295,1),(302,1),(304,1)}
       292:{1,3,4,6}:{(275,1),(276,1),(278,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       293:{2,3,5}:{(276,1),(277,1),(279,1),(305,1)}
       294:{1,4,5}:{(278,1),(279,1),(305,1)}
       295:{2,3,7}:{(280,1),(291,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(292,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(293,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(287,1),(294,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(288,1),(308,1),(309,1),(314,1)}
       301:{1,5,6}:{(287,1),(288,1),(309,1)}
       302:{2,3,5}:{(289,1),(291,1),(310,1),(311,1)}
       303:{1,3,4}:{(289,1),(290,1),(310,1)}
       304:{2,4,6}:{(291,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       305:{1,3,5}:{(292,1),(293,1),(294,1),(311,1)}
       306:{2,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(305,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4}:{(302,1),(303,1)}
       311:{2,5}:{(304,1),(305,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1299 :   0:{1,4,5,6,7}:{(1,1),(2,1),(35,1),(39,1),(105,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(18,1),(21,1),(63,1),(127,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(141,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(15,1),(39,1),(157,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(91,1),(167,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(39,1),(47,1),(91,1)}
         6:{2,5,6,7}:{(2,1),(14,1),(15,1),(182,1)}
         7:{1,3,4,5,6}:{(11,1),(13,1),(16,1),(42,1),(51,1),(94,1),(109,1),(183,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(17,1),(18,1),(197,1)}
         9:{3,4,6,7}:{(4,1),(20,1),(21,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(18,1),(21,1),(22,1),(27,1),(55,1),(60,1)}
        11:{3,4,5,6}:{(20,1),(23,1),(210,1),(278,1)}
        12:{2,3,4,5,7}:{(24,1),(25,1),(32,1),(60,1),(70,1),(112,1),(113,1),(133,1),(206,1),(219,1),(265,1),(273,1),(279,1),(308,1)}
        13:{1,3,4,5,7}:{(5,1),(7,1),(20,1),(26,1),(61,1),(71,1),(123,1),(138,1),(141,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(26,1),(27,1),(28,1),(73,1)}
        15:{1,5,6,7}:{(6,1),(28,1),(221,1)}
        16:{2,4,5,6}:{(7,1),(26,1),(30,1),(31,1),(77,1),(146,1),(222,1)}
        17:{1,3,4,6,7}:{(8,1),(9,1),(33,1),(34,1),(39,1),(82,1),(91,1)}
        18:{2,5,6,7}:{(8,1),(34,1),(35,1),(236,1)}
        19:{1,3,4,5,6}:{(11,1),(33,1),(36,1),(42,1),(86,1),(94,1),(161,1),(237,1)}
        20:{3,4,5,7}:{(9,1),(11,1),(37,1),(167,1),(295,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(37,1),(39,1)}
        22:{1,3,5,6,7}:{(10,1),(15,1),(35,1),(39,1),(40,1),(47,1),(82,1),(88,1),(91,1)}
        23:{2,4,5,6}:{(11,1),(37,1),(41,1),(42,1),(249,1)}
        24:{2,3,4,6}:{(12,1),(41,1),(43,1),(172,1),(245,1),(249,1),(256,1),(291,1),(313,1)}
        25:{1,3,4,5,7}:{(12,1),(43,1),(44,1),(53,1),(88,1),(97,1),(99,1),(150,1),(151,1),(164,1),(171,1),(243,1),(250,1),(255,1),(290,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(16,1),(45,1),(46,1),(100,1),(179,1),(182,1)}
        27:{2,3,6,7}:{(14,1),(45,1),(47,1),(91,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(46,1),(47,1)}
        29:{1,2,5,6,7}:{(15,1),(40,1),(48,1),(49,1),(154,1),(162,1),(182,1),(257,1),(298,1)}
        30:{2,3,5,6}:{(16,1),(45,1),(50,1),(51,1),(94,1)}
        31:{1,4,5,6}:{(16,1),(46,1),(51,1),(186,1),(257,1)}
        32:{2,3,4,5}:{(50,1),(53,1),(171,1),(187,1),(188,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(20,1),(54,1),(61,1),(114,1),(123,1),(194,1),(197,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(54,1),(55,1),(56,1),(116,1)}
        35:{1,5,6,7}:{(18,1),(56,1),(267,1)}
        36:{2,4,5,6}:{(19,1),(54,1),(58,1),(59,1),(120,1),(202,1),(268,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(23,1),(60,1),(61,1),(273,1)}
        38:{2,3,4,6,7}:{(21,1),(24,1),(27,1),(55,1),(60,1),(62,1),(70,1),(113,1),(126,1),(140,1),(196,1),(207,1),(273,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(61,1),(63,1)}
        40:{2,5,6,7}:{(22,1),(63,1),(73,1),(116,1),(122,1)}
        41:{2,3,5,6}:{(23,1),(24,1),(60,1),(65,1),(210,1),(222,1),(268,1)}
        42:{1,4,5,6}:{(23,1),(61,1),(65,1),(66,1),(212,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(65,1),(67,1),(130,1),(131,1),(212,1),(283,1),(306,1)}
        44:{2,4,5,7}:{(25,1),(67,1),(69,1),(79,1),(122,1),(135,1),(190,1),(191,1),(205,1),(213,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(30,1),(70,1),(71,1),(123,1)}
        46:{1,4,5,7}:{(26,1),(28,1),(31,1),(71,1),(218,1),(221,1)}
        47:{1,3,6,7}:{(27,1),(28,1),(71,1),(73,1)}
        48:{1,2,4,6,7}:{(28,1),(29,1),(63,1),(72,1),(73,1),(74,1),(75,1),(140,1),(283,1),(309,1),(310,1)}
        49:{1,3,5,6,7}:{(29,1),(64,1),(74,1),(75,1),(141,1),(195,1),(204,1),(267,1),(277,1)}
        50:{2,3,4,6}:{(30,1),(32,1),(70,1),(76,1),(130,1),(146,1),(223,1)}
        51:{1,3,5,6}:{(30,1),(31,1),(71,1),(76,1),(77,1)}
        52:{1,2,4,5,6}:{(31,1),(66,1),(72,1),(77,1),(78,1),(128,1),(142,1),(143,1),(146,1),(212,1),(222,1),(226,1),(279,1),(283,1),(284,1),(309,1),(310,1)}
        53:{1,3,4,5}:{(32,1),(76,1),(79,1),(148,1),(226,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(36,1),(80,1),(81,1),(152,1),(233,1),(236,1)}
        55:{2,3,6,7}:{(34,1),(80,1),(82,1),(91,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(81,1),(82,1)}
        57:{1,2,5,6,7}:{(35,1),(40,1),(83,1),(84,1),(102,1),(162,1),(236,1),(292,1),(298,1)}
        58:{2,3,5,6}:{(36,1),(80,1),(85,1),(86,1),(94,1)}
        59:{1,4,5,6}:{(36,1),(81,1),(86,1),(240,1),(292,1)}
        60:{2,3,5,7}:{(37,1),(38,1),(41,1),(88,1),(167,1),(182,1),(236,1)}
        61:{1,4,5,7}:{(37,1),(39,1),(42,1),(88,1),(89,1),(243,1)}
        62:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(47,1),(82,1),(88,1),(90,1),(91,1),(99,1),(151,1),(164,1),(165,1),(181,1),(235,1),(243,1)}
        63:{2,4,6,7}:{(39,1),(40,1),(89,1),(91,1)}
        64:{2,3,5,6,7}:{(40,1),(49,1),(84,1),(91,1),(92,1),(103,1),(155,1),(163,1),(167,1),(182,1),(236,1),(242,1),(248,1),(298,1),(313,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(43,1),(88,1),(93,1),(94,1),(257,1),(292,1)}
        66:{2,4,5,6}:{(42,1),(89,1),(93,1),(94,1),(170,1)}
        67:{2,4,6}:{(43,1),(44,1),(93,1),(96,1)}
        68:{1,2,4,5,7}:{(44,1),(95,1),(97,1),(110,1),(162,1),(175,1),(176,1),(228,1),(230,1),(243,1),(250,1),(251,1),(255,1),(290,1),(296,1),(300,1),(311,1)}
        69:{2,3,5,7}:{(44,1),(96,1),(97,1),(98,1),(111,1),(174,1),(177,1),(229,1),(231,1)}
        70:{2,3,4,7}:{(45,1),(50,1),(99,1),(164,1),(179,1),(252,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(47,1),(51,1),(99,1),(100,1)}
        72:{1,2,4,5,7}:{(46,1),(48,1),(52,1),(89,1),(100,1),(101,1),(105,1),(162,1),(176,1),(179,1),(182,1),(243,1),(255,1),(296,1),(300,1)}
        73:{2,6,7}:{(47,1),(100,1)}
        74:{1,3,6,7}:{(48,1),(91,1),(101,1),(103,1),(301,1),(313,1)}
        75:{1,4,6,7}:{(49,1),(92,1),(105,1),(243,1),(297,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(53,1),(99,1),(106,1),(184,1),(186,1)}
        77:{2,5,6}:{(51,1),(100,1),(106,1)}
        78:{1,3,5,6}:{(52,1),(94,1),(101,1),(108,1),(109,1),(184,1),(259,1),(299,1),(301,1),(313,1)}
        79:{2,4,5}:{(53,1),(106,1),(111,1)}
        80:{2,3,5,7}:{(54,1),(55,1),(58,1),(113,1),(114,1),(123,1)}
        81:{1,4,5,7}:{(54,1),(56,1),(59,1),(114,1),(264,1),(267,1)}
        82:{1,3,6,7}:{(55,1),(56,1),(114,1),(116,1)}
        83:{1,2,4,6,7}:{(56,1),(57,1),(63,1),(115,1),(116,1),(117,1),(118,1),(196,1),(306,1),(309,1),(314,1)}
        84:{1,3,5,6,7}:{(57,1),(64,1),(117,1),(118,1),(139,1),(197,1),(204,1),(221,1),(277,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(113,1),(119,1),(130,1),(202,1),(269,1)}
        86:{1,3,5,6}:{(58,1),(59,1),(114,1),(119,1),(120,1)}
        87:{1,2,4,5,6}:{(59,1),(66,1),(115,1),(120,1),(121,1),(128,1),(198,1),(199,1),(202,1),(212,1),(268,1),(272,1),(279,1),(306,1),(307,1),(309,1),(314,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(122,1),(123,1),(221,1),(267,1)}
        89:{2,4,5,7}:{(61,1),(63,1),(66,1),(122,1),(123,1),(205,1)}
        90:{2,4,6,7}:{(62,1),(67,1),(73,1),(116,1),(122,1),(125,1),(135,1),(191,1),(205,1)}
        91:{3,6,7}:{(63,1),(123,1)}
        92:{2,4,6,7}:{(64,1),(75,1),(118,1),(126,1),(127,1),(205,1),(273,1),(275,1),(309,1)}
        93:{2,5,6}:{(65,1),(67,1),(122,1)}
        94:{3,5,6}:{(66,1),(123,1),(130,1)}
        95:{1,2,4,6}:{(67,1),(68,1),(128,1),(131,1),(212,1),(214,1),(283,1),(306,1),(309,1),(310,1),(314,1)}
        96:{2,3,6}:{(67,1),(69,1),(131,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(131,1),(133,1),(134,1),(148,1),(215,1),(216,1),(260,1),(262,1),(308,1)}
        98:{2,3,4,7}:{(69,1),(132,1),(134,1),(149,1),(205,1),(261,1)}
        99:{1,3,4,7}:{(70,1),(71,1),(76,1),(135,1),(216,1),(218,1)}
       100:{2,5,7}:{(71,1),(73,1),(77,1),(135,1)}
       101:{1,3,5,7}:{(72,1),(74,1),(78,1),(123,1),(137,1),(138,1),(216,1),(308,1)}
       102:{1,2,6,7}:{(73,1),(136,1),(139,1),(310,1)}
       103:{2,3,6,7}:{(73,1),(74,1),(137,1),(139,1),(140,1),(282,1),(310,1)}
       104:{1,3,4,6,7}:{(74,1),(75,1),(126,1),(138,1),(140,1),(141,1),(220,1)}
       105:{1,4,5,7}:{(75,1),(127,1),(141,1),(142,1),(267,1)}
       106:{2,4,6}:{(76,1),(77,1),(79,1),(135,1),(144,1)}
       107:{1,2,5,6}:{(77,1),(136,1),(143,1),(145,1),(284,1),(310,1)}
       108:{2,3,5,6}:{(77,1),(78,1),(137,1),(144,1),(145,1),(146,1),(222,1),(223,1),(225,1),(282,1),(284,1),(310,1)}
       109:{1,3,4,6}:{(78,1),(130,1),(138,1),(146,1),(147,1),(212,1),(278,1)}
       110:{1,2,4,5}:{(79,1),(143,1),(148,1),(226,1),(227,1),(284,1)}
       111:{2,3,5}:{(79,1),(144,1),(148,1),(149,1)}
       112:{2,3,4,5}:{(85,1),(150,1),(171,1),(241,1),(285,1)}
       113:{2,3,4,7}:{(80,1),(85,1),(151,1),(164,1),(233,1),(287,1)}
       114:{1,3,5,7}:{(80,1),(81,1),(82,1),(86,1),(151,1),(152,1)}
       115:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(89,1),(152,1),(153,1),(157,1),(162,1),(230,1),(233,1),(236,1),(243,1),(290,1),(296,1),(311,1)}
       116:{2,6,7}:{(82,1),(152,1)}
       117:{1,3,6,7}:{(83,1),(91,1),(153,1),(155,1),(312,1),(313,1)}
       118:{1,4,6,7}:{(84,1),(92,1),(157,1),(243,1),(297,1)}
       119:{1,3,4,6}:{(85,1),(86,1),(150,1),(151,1),(158,1),(238,1),(240,1)}
       120:{2,5,6}:{(86,1),(152,1),(158,1)}
       121:{1,3,5,6}:{(87,1),(94,1),(153,1),(160,1),(161,1),(238,1),(294,1),(299,1),(312,1),(313,1)}
       122:{2,5,7}:{(88,1),(90,1),(93,1)}
       123:{3,5,7}:{(89,1),(91,1),(94,1),(164,1)}
       124:{1,2,4,6,7}:{(90,1),(95,1),(102,1),(154,1),(162,1),(165,1),(176,1),(181,1),(230,1),(235,1),(243,1),(246,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(96,1),(163,1),(165,1),(177,1),(231,1)}
       126:{3,4,6,7}:{(91,1),(92,1),(164,1),(167,1),(245,1),(295,1),(313,1)}
       127:{2,4,5,7}:{(92,1),(105,1),(157,1),(167,1),(168,1),(182,1),(236,1)}
       128:{1,2,5,6}:{(93,1),(95,1),(162,1),(169,1),(251,1),(257,1),(292,1),(298,1)}
       129:{2,3,5,6}:{(93,1),(94,1),(96,1),(163,1),(169,1),(170,1),(174,1)}
       130:{3,4,6}:{(94,1),(164,1),(170,1),(171,1)}
       131:{1,3,6}:{(95,1),(96,1),(97,1),(172,1),(313,1)}
       132:{2,3,4,6}:{(96,1),(98,1),(170,1),(173,1),(174,1)}
       133:{2,3,5,7}:{(97,1),(172,1),(175,1),(188,1),(251,1),(252,1),(285,1),(287,1),(300,1),(311,1)}
       134:{1,3,4,7}:{(97,1),(98,1),(173,1),(175,1),(189,1),(243,1),(286,1),(295,1)}
       135:{2,4,7}:{(99,1),(100,1),(106,1),(177,1)}
       136:{1,2,5,7}:{(100,1),(102,1),(107,1),(176,1),(178,1),(300,1)}
       137:{2,3,5,7}:{(100,1),(101,1),(103,1),(108,1),(177,1),(178,1),(179,1),(182,1),(252,1),(300,1)}
       138:{1,3,4,7}:{(101,1),(109,1),(164,1),(179,1),(243,1),(295,1)}
       139:{1,3,6,7}:{(102,1),(103,1),(178,1),(181,1),(301,1)}
       140:{2,4,6,7}:{(103,1),(104,1),(179,1),(181,1),(182,1),(256,1)}
       141:{1,3,5,7}:{(104,1),(105,1),(167,1),(182,1),(183,1)}
       142:{1,4,5,6}:{(105,1),(168,1),(183,1),(292,1),(297,1)}
       143:{1,2,4,6}:{(106,1),(107,1),(110,1),(176,1),(184,1),(186,1),(258,1)}
       144:{2,3,6}:{(106,1),(111,1),(177,1),(184,1)}
       145:{1,3,5,6}:{(107,1),(108,1),(178,1),(184,1),(186,1),(257,1),(259,1),(301,1)}
       146:{2,4,6}:{(108,1),(109,1),(179,1),(186,1),(187,1)}
       147:{1,3,4,5}:{(109,1),(171,1),(187,1),(250,1),(259,1),(299,1)}
       148:{1,3,5}:{(110,1),(111,1),(184,1),(188,1),(189,1)}
       149:{2,3,4}:{(111,1),(189,1)}
       150:{1,3,4,5}:{(112,1),(119,1),(190,1),(260,1),(272,1)}
       151:{1,3,4,7}:{(113,1),(114,1),(119,1),(191,1),(262,1),(264,1)}
       152:{2,5,7}:{(114,1),(116,1),(120,1),(191,1)}
       153:{1,3,5,7}:{(115,1),(117,1),(121,1),(123,1),(193,1),(194,1),(262,1),(308,1)}
       154:{1,2,6,7}:{(116,1),(192,1),(195,1),(314,1)}
       155:{2,3,6,7}:{(116,1),(117,1),(193,1),(195,1),(196,1),(305,1),(314,1)}
       156:{1,3,4,6,7}:{(117,1),(118,1),(126,1),(194,1),(196,1),(197,1),(266,1)}
       157:{1,4,5,7}:{(118,1),(127,1),(197,1),(198,1),(221,1)}
       158:{2,4,6}:{(119,1),(120,1),(190,1),(191,1),(200,1)}
       159:{1,2,5,6}:{(120,1),(192,1),(199,1),(201,1),(307,1),(314,1)}
       160:{2,3,5,6}:{(120,1),(121,1),(193,1),(200,1),(201,1),(202,1),(268,1),(269,1),(271,1),(305,1),(307,1),(314,1)}
       161:{1,3,4,6}:{(121,1),(130,1),(194,1),(202,1),(203,1),(212,1),(278,1)}
       162:{1,2,5,7}:{(122,1),(124,1),(128,1),(204,1),(221,1),(267,1),(276,1)}
       163:{2,3,5,7}:{(122,1),(123,1),(125,1),(129,1),(204,1),(205,1)}
       164:{3,4,7}:{(123,1),(130,1),(205,1)}
       165:{1,3,6,7}:{(124,1),(125,1),(131,1),(204,1),(207,1),(216,1),(262,1)}
       166:{2,3,4,6,7}:{(125,1),(126,1),(132,1),(140,1),(196,1),(205,1),(208,1),(209,1),(217,1),(263,1),(275,1),(282,1),(305,1)}
       167:{3,5,7}:{(126,1),(127,1),(210,1)}
       168:{2,4,5,6}:{(127,1),(142,1),(198,1),(210,1),(222,1),(268,1),(275,1),(309,1)}
       169:{1,3,5,6}:{(128,1),(129,1),(131,1),(204,1),(211,1),(212,1),(215,1)}
       170:{2,4,6}:{(129,1),(130,1),(205,1),(212,1),(213,1)}
       171:{3,4,5}:{(130,1),(213,1)}
       172:{2,3,6}:{(131,1),(133,1),(214,1),(310,1),(314,1)}
       173:{1,3,4,6}:{(131,1),(132,1),(134,1),(212,1),(214,1),(215,1),(278,1)}
       174:{2,3,5}:{(132,1),(213,1),(215,1)}
       175:{2,4,7}:{(133,1),(134,1),(214,1),(227,1),(302,1)}
       176:{1,2,4,7}:{(135,1),(136,1),(143,1),(216,1),(218,1),(280,1)}
       177:{2,3,7}:{(135,1),(144,1),(216,1)}
       178:{1,3,5,7}:{(136,1),(137,1),(139,1),(145,1),(216,1),(218,1),(221,1)}
       179:{2,4,7}:{(137,1),(138,1),(146,1),(218,1)}
       180:{1,3,4,5,7}:{(138,1),(141,1),(147,1),(206,1),(219,1),(220,1),(274,1),(281,1),(308,1)}
       181:{1,4,6,7}:{(139,1),(140,1),(218,1),(221,1),(283,1)}
       182:{2,5,7}:{(140,1),(141,1),(221,1),(222,1)}
       183:{1,3,5,6}:{(141,1),(142,1),(210,1),(220,1),(222,1)}
       184:{1,3,6}:{(143,1),(144,1),(148,1),(216,1),(223,1)}
       185:{2,3,4,6}:{(144,1),(146,1),(149,1),(217,1),(224,1),(225,1),(278,1),(282,1)}
       186:{1,4,6}:{(145,1),(146,1),(218,1),(226,1)}
       187:{2,4,5}:{(146,1),(147,1),(225,1),(226,1),(284,1)}
       188:{2,3,5}:{(148,1),(223,1),(227,1),(284,1)}
       189:{1,3,4}:{(148,1),(149,1),(227,1)}
       190:{2,4,5}:{(150,1),(158,1),(229,1)}
       191:{2,4,7}:{(151,1),(152,1),(158,1),(231,1)}
       192:{1,2,5,7}:{(152,1),(154,1),(159,1),(230,1),(232,1),(311,1)}
       193:{2,3,5,7}:{(152,1),(153,1),(155,1),(160,1),(231,1),(232,1),(233,1),(236,1),(287,1),(311,1)}
       194:{1,3,4,7}:{(153,1),(161,1),(164,1),(233,1),(243,1),(295,1)}
       195:{1,3,6,7}:{(154,1),(155,1),(232,1),(235,1),(312,1)}
       196:{2,4,6,7}:{(155,1),(156,1),(233,1),(235,1),(236,1),(291,1)}
       197:{1,3,5,7}:{(156,1),(157,1),(167,1),(236,1),(237,1)}
       198:{1,4,5,6}:{(157,1),(168,1),(237,1),(257,1),(297,1)}
       199:{1,2,4,6}:{(158,1),(159,1),(228,1),(230,1),(238,1),(240,1),(293,1)}
       200:{2,3,6}:{(158,1),(229,1),(231,1),(238,1)}
       201:{1,3,5,6}:{(159,1),(160,1),(232,1),(238,1),(240,1),(292,1),(294,1),(312,1)}
       202:{2,4,6}:{(160,1),(161,1),(233,1),(240,1),(241,1)}
       203:{1,3,4,5}:{(161,1),(171,1),(241,1),(250,1),(294,1),(299,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(165,1),(169,1),(242,1),(243,1)}
       205:{2,4,7}:{(163,1),(164,1),(170,1),(243,1)}
       206:{3,4,5,7}:{(164,1),(167,1),(171,1),(244,1),(245,1)}
       207:{2,3,6,7}:{(165,1),(172,1),(242,1),(246,1),(252,1),(287,1),(313,1)}
       208:{1,3,4,6,7}:{(165,1),(166,1),(173,1),(181,1),(235,1),(243,1),(246,1),(247,1),(253,1),(288,1),(295,1),(297,1),(301,1),(312,1),(313,1)}
       209:{2,3,5,7}:{(166,1),(167,1),(174,1),(182,1),(236,1),(244,1),(247,1),(248,1)}
       210:{3,5,6}:{(167,1),(168,1),(245,1),(313,1)}
       211:{2,3,5,6}:{(169,1),(172,1),(242,1),(249,1),(251,1),(298,1),(299,1),(313,1)}
       212:{1,4,6}:{(169,1),(170,1),(243,1),(249,1),(250,1)}
       213:{2,4,5}:{(170,1),(171,1),(174,1),(250,1)}
       214:{2,4,6}:{(172,1),(173,1),(175,1),(251,1)}
       215:{1,3,5}:{(173,1),(174,1),(250,1),(251,1),(299,1)}
       216:{1,3,7}:{(176,1),(177,1),(184,1),(252,1)}
       217:{2,3,4,7}:{(177,1),(179,1),(185,1),(253,1),(254,1),(295,1)}
       218:{1,4,7}:{(178,1),(179,1),(186,1)}
       219:{2,4,5,7}:{(179,1),(180,1),(182,1),(187,1),(254,1),(255,1),(256,1),(300,1)}
       220:{1,3,4,6}:{(180,1),(183,1),(245,1),(256,1),(297,1),(301,1),(313,1)}
       221:{1,5,7}:{(181,1),(182,1),(257,1)}
       222:{2,5,6}:{(182,1),(183,1),(256,1),(257,1)}
       223:{2,3,6}:{(184,1),(188,1),(252,1),(258,1)}
       224:{1,3,4,6}:{(184,1),(185,1),(186,1),(189,1),(253,1),(258,1),(259,1),(301,1)}
       225:{2,3,5}:{(185,1),(187,1),(259,1),(299,1)}
       226:{1,4,5}:{(186,1),(187,1),(259,1)}
       227:{2,4}:{(188,1),(189,1)}
       228:{1,2,4,5}:{(190,1),(199,1),(260,1),(272,1),(302,1),(307,1)}
       229:{2,3,5}:{(190,1),(200,1),(260,1),(261,1)}
       230:{1,2,4,7}:{(191,1),(192,1),(199,1),(262,1),(264,1),(303,1)}
       231:{2,3,7}:{(191,1),(200,1),(262,1)}
       232:{1,3,5,7}:{(192,1),(193,1),(195,1),(201,1),(262,1),(264,1),(267,1)}
       233:{2,4,7}:{(193,1),(194,1),(202,1),(264,1)}
       234:{1,3,4,5,7}:{(194,1),(197,1),(203,1),(206,1),(265,1),(266,1),(274,1),(304,1),(308,1)}
       235:{1,4,6,7}:{(195,1),(196,1),(264,1),(267,1),(306,1)}
       236:{2,5,7}:{(196,1),(197,1),(267,1),(268,1)}
       237:{1,3,5,6}:{(197,1),(198,1),(210,1),(266,1),(268,1)}
       238:{1,3,6}:{(199,1),(200,1),(260,1),(262,1),(269,1)}
       239:{2,3,4,6}:{(200,1),(202,1),(261,1),(263,1),(270,1),(271,1),(278,1),(305,1)}
       240:{1,4,6}:{(201,1),(202,1),(264,1),(272,1)}
       241:{2,4,5}:{(202,1),(203,1),(271,1),(272,1),(307,1)}
       242:{2,3,5,7}:{(204,1),(207,1),(211,1),(273,1),(276,1),(308,1)}
       243:{1,4,7}:{(204,1),(205,1),(212,1),(273,1)}
       244:{2,4,5,7}:{(205,1),(206,1),(209,1),(213,1),(274,1),(275,1)}
       245:{3,4,6}:{(206,1),(210,1),(275,1)}
       246:{2,4,6,7}:{(207,1),(208,1),(214,1),(273,1),(276,1),(280,1),(303,1),(309,1),(310,1),(314,1)}
       247:{1,3,5,7}:{(208,1),(209,1),(215,1),(221,1),(267,1),(274,1),(276,1),(277,1),(308,1)}
       248:{2,3,5,6}:{(209,1),(210,1),(222,1),(268,1),(275,1),(277,1),(282,1),(305,1)}
       249:{2,4,6}:{(211,1),(212,1),(273,1),(278,1),(279,1)}
       250:{1,4,5}:{(212,1),(213,1),(215,1),(279,1)}
       251:{2,5}:{(214,1),(215,1)}
       252:{2,3,7}:{(216,1),(223,1),(280,1)}
       253:{1,3,4,7}:{(216,1),(217,1),(218,1),(224,1),(280,1),(281,1)}
       254:{2,3,5,7}:{(217,1),(219,1),(225,1),(281,1),(282,1),(308,1)}
       255:{1,4,5,7}:{(218,1),(219,1),(221,1),(226,1),(281,1),(283,1)}
       256:{2,4,6}:{(219,1),(220,1),(222,1),(282,1),(283,1),(310,1)}
       257:{1,5,6}:{(221,1),(222,1),(283,1)}
       258:{2,4,6}:{(223,1),(224,1),(227,1),(280,1),(284,1),(310,1)}
       259:{1,3,5}:{(224,1),(225,1),(226,1),(284,1)}
       260:{1,3,5}:{(228,1),(229,1),(238,1),(285,1),(286,1)}
       261:{2,3,4}:{(229,1),(286,1)}
       262:{1,3,7}:{(230,1),(231,1),(238,1),(287,1)}
       263:{2,3,4,7}:{(231,1),(233,1),(239,1),(288,1),(289,1),(295,1)}
       264:{1,4,7}:{(232,1),(233,1),(240,1)}
       265:{2,4,5,7}:{(233,1),(234,1),(236,1),(241,1),(289,1),(290,1),(291,1),(311,1)}
       266:{1,3,4,6}:{(234,1),(237,1),(245,1),(291,1),(297,1),(312,1),(313,1)}
       267:{1,5,7}:{(235,1),(236,1),(292,1)}
       268:{2,5,6}:{(236,1),(237,1),(291,1),(292,1)}
       269:{2,3,6}:{(238,1),(285,1),(287,1),(293,1)}
       270:{1,3,4,6}:{(238,1),(239,1),(240,1),(286,1),(288,1),(293,1),(294,1),(312,1)}
       271:{2,3,5}:{(239,1),(241,1),(294,1),(299,1)}
       272:{1,4,5}:{(240,1),(241,1),(294,1)}
       273:{2,4,7}:{(242,1),(243,1),(249,1),(295,1)}
       274:{1,4,5,7}:{(243,1),(244,1),(247,1),(250,1),(296,1),(297,1)}
       275:{2,4,6}:{(244,1),(245,1),(248,1),(297,1)}
       276:{2,5,7}:{(246,1),(247,1),(251,1),(298,1)}
       277:{1,3,5,6}:{(247,1),(248,1),(257,1),(292,1),(297,1),(298,1),(301,1),(312,1),(313,1)}
       278:{3,4,6}:{(249,1),(295,1),(299,1),(313,1)}
       279:{2,4,5}:{(249,1),(250,1),(251,1),(299,1)}
       280:{2,4,7}:{(252,1),(253,1),(258,1),(300,1)}
       281:{1,3,5,7}:{(253,1),(254,1),(255,1),(259,1),(300,1),(301,1)}
       282:{2,3,6}:{(254,1),(256,1),(301,1),(313,1)}
       283:{1,4,6}:{(255,1),(256,1),(257,1),(301,1)}
       284:{2,5}:{(258,1),(259,1)}
       285:{2,3,5}:{(260,1),(269,1),(302,1),(307,1)}
       286:{1,3,4}:{(260,1),(261,1),(302,1)}
       287:{2,3,7}:{(262,1),(269,1),(303,1)}
       288:{1,3,4,7}:{(262,1),(263,1),(264,1),(270,1),(303,1),(304,1)}
       289:{2,3,5,7}:{(263,1),(265,1),(271,1),(304,1),(305,1),(308,1)}
       290:{1,4,5,7}:{(264,1),(265,1),(267,1),(272,1),(304,1),(306,1)}
       291:{2,4,6}:{(265,1),(266,1),(268,1),(305,1),(306,1),(314,1)}
       292:{1,5,6}:{(267,1),(268,1),(306,1)}
       293:{2,4,6}:{(269,1),(270,1),(302,1),(303,1),(307,1),(314,1)}
       294:{1,3,5}:{(270,1),(271,1),(272,1),(307,1)}
       295:{3,4,7}:{(273,1),(278,1),(308,1)}
       296:{2,4,5,7}:{(273,1),(274,1),(276,1),(279,1),(308,1),(309,1)}
       297:{1,4,6}:{(274,1),(275,1),(277,1),(309,1)}
       298:{2,5,6}:{(276,1),(277,1),(309,1),(310,1),(314,1)}
       299:{3,5}:{(278,1),(279,1)}
       300:{2,5,7}:{(280,1),(281,1),(284,1),(310,1)}
       301:{1,3,6}:{(281,1),(282,1),(283,1),(310,1)}
       302:{2,4}:{(285,1),(286,1)}
       303:{2,4,7}:{(287,1),(288,1),(293,1),(311,1)}
       304:{1,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(311,1),(312,1)}
       305:{2,3,6}:{(289,1),(291,1),(312,1),(313,1)}
       306:{1,4,6}:{(290,1),(291,1),(292,1),(312,1)}
       307:{2,5}:{(293,1),(294,1)}
       308:{3,5,7}:{(295,1),(296,1),(299,1),(313,1)}
       309:{2,4,6}:{(296,1),(297,1),(298,1),(313,1)}
       310:{2,6}:{(300,1),(301,1)}
       311:{2,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(308,1),(309,1)}
       314:{2,6}:{(311,1),(312,1)}

1300 :   0:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(63,1),(72,1),(75,1),(76,1),(123,1),(148,1),(204,1),(210,1),(214,1),(262,1),(275,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(34,1),(44,1),(85,1),(107,1),(161,1),(175,1),(176,1),(180,1),(181,1),(188,1),(232,1),(241,1),(245,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(44,1),(165,1),(188,1),(235,1),(241,1),(245,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(36,1),(43,1),(48,1),(99,1),(182,1),(186,1),(292,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(50,1),(51,1),(63,1),(73,1),(122,1),(125,1),(126,1),(153,1),(199,1),(210,1),(214,1),(224,1),(297,1)}
         5:{2,4,5,7}:{(1,1),(15,1),(16,1),(17,1),(21,1),(51,1),(59,1),(63,1),(75,1),(125,1),(134,1),(140,1),(210,1),(214,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(64,1),(142,1),(143,1),(146,1),(197,1),(216,1),(220,1),(258,1)}
         7:{1,2,4,6,7}:{(3,1),(19,1),(20,1),(58,1),(68,1),(72,1),(132,1),(210,1)}
         8:{1,3,4,7}:{(2,1),(21,1),(22,1),(72,1),(151,1),(262,1),(270,1)}
         9:{2,3,5,7}:{(2,1),(21,1),(23,1),(24,1),(63,1),(75,1),(137,1),(213,1)}
        10:{1,3,6}:{(2,1),(3,1),(24,1),(216,1),(220,1)}
        11:{1,2,5,6}:{(3,1),(20,1),(25,1),(66,1),(75,1),(141,1),(145,1),(204,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(27,1),(28,1),(29,1),(85,1),(111,1),(191,1),(232,1),(241,1),(245,1)}
        13:{1,2,4,6}:{(4,1),(29,1),(30,1),(36,1),(84,1),(89,1),(99,1),(182,1),(230,1),(306,1)}
        14:{1,3,4,6,7}:{(6,1),(31,1),(32,1),(91,1),(92,1),(173,1),(175,1),(176,1),(241,1)}
        15:{2,3,5,7}:{(5,1),(33,1),(34,1),(35,1),(98,1),(188,1),(232,1),(241,1),(245,1),(250,1),(281,1)}
        16:{1,4,5,7}:{(5,1),(34,1),(36,1),(42,1),(83,1),(94,1),(113,1),(167,1),(175,1),(180,1)}
        17:{2,4,6}:{(5,1),(6,1),(35,1),(36,1),(37,1),(99,1)}
        18:{1,3,5,6}:{(6,1),(32,1),(37,1),(38,1),(44,1),(85,1),(103,1)}
        19:{1,3,6,7}:{(7,1),(10,1),(40,1),(41,1),(241,1),(292,1)}
        20:{1,2,5,7}:{(7,1),(11,1),(41,1),(94,1),(106,1),(174,1),(293,1)}
        21:{2,4,7}:{(8,1),(9,1),(42,1),(43,1),(244,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(43,1),(44,1),(48,1),(117,1)}
        23:{1,3,5,7}:{(9,1),(42,1),(45,1),(46,1),(111,1),(113,1),(191,1)}
        24:{2,3,6}:{(9,1),(10,1),(43,1),(46,1),(99,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(41,1),(44,1),(47,1),(48,1),(235,1),(255,1),(256,1),(292,1)}
        26:{1,2,4,6,7}:{(13,1),(49,1),(50,1),(58,1),(118,1),(122,1),(132,1),(210,1)}
        27:{1,3,4,7}:{(12,1),(51,1),(52,1),(122,1),(202,1),(224,1),(270,1)}
        28:{2,3,5,7}:{(12,1),(51,1),(53,1),(54,1),(63,1),(125,1),(137,1),(213,1)}
        29:{1,3,6}:{(12,1),(13,1),(54,1),(216,1),(258,1)}
        30:{1,2,5,6}:{(13,1),(50,1),(55,1),(66,1),(125,1),(141,1),(153,1),(196,1),(301,1)}
        31:{2,4,6,7}:{(14,1),(17,1),(57,1),(58,1),(59,1),(132,1),(134,1),(210,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(59,1),(60,1),(136,1)}
        33:{2,3,4,7}:{(15,1),(21,1),(51,1),(61,1),(62,1),(134,1),(137,1),(151,1),(202,1),(223,1),(261,1),(268,1),(270,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(61,1),(63,1),(64,1),(139,1),(275,1),(297,1)}
        35:{2,3,6}:{(15,1),(17,1),(64,1),(216,1),(220,1),(258,1),(274,1),(296,1)}
        36:{1,4,6}:{(16,1),(17,1),(64,1),(66,1)}
        37:{2,5,6}:{(17,1),(18,1),(59,1),(66,1),(75,1),(125,1)}
        38:{1,4,5,6}:{(18,1),(60,1),(67,1),(76,1),(126,1),(142,1),(146,1),(197,1),(218,1)}
        39:{1,3,4,6,7}:{(19,1),(22,1),(68,1),(69,1),(72,1),(146,1),(151,1),(220,1)}
        40:{2,3,6,7}:{(19,1),(24,1),(68,1),(70,1),(71,1),(132,1),(220,1),(274,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(25,1),(71,1),(72,1),(275,1),(276,1)}
        42:{1,4,7}:{(21,1),(23,1),(74,1),(224,1)}
        43:{2,4,6}:{(21,1),(22,1),(24,1),(74,1),(75,1)}
        44:{1,3,5}:{(22,1),(75,1),(76,1),(155,1)}
        45:{1,2,5,7}:{(23,1),(63,1),(73,1),(77,1),(153,1),(297,1)}
        46:{1,3,6}:{(23,1),(24,1),(74,1),(77,1)}
        47:{2,3,5,6}:{(24,1),(25,1),(71,1),(75,1),(78,1),(79,1),(141,1),(145,1),(155,1),(213,1),(216,1),(220,1),(226,1),(227,1),(274,1)}
        48:{1,4,6}:{(25,1),(72,1),(76,1),(79,1),(262,1)}
        49:{1,3,6,7}:{(26,1),(29,1),(81,1),(82,1),(241,1),(306,1)}
        50:{1,2,5,7}:{(26,1),(30,1),(82,1),(94,1),(160,1),(174,1),(307,1)}
        51:{2,4,7}:{(27,1),(28,1),(83,1),(84,1),(244,1)}
        52:{1,3,4,6}:{(27,1),(29,1),(84,1),(85,1),(89,1),(171,1)}
        53:{1,3,5,7}:{(28,1),(83,1),(86,1),(87,1),(165,1),(167,1),(235,1)}
        54:{2,3,6}:{(28,1),(29,1),(84,1),(87,1),(99,1)}
        55:{1,3,5,6}:{(29,1),(30,1),(82,1),(85,1),(88,1),(89,1),(191,1),(286,1),(287,1),(306,1)}
        56:{1,3,5,6,7}:{(32,1),(90,1),(91,1),(104,1),(158,1),(173,1)}
        57:{2,3,6,7}:{(31,1),(35,1),(92,1),(93,1),(173,1),(240,1),(241,1)}
        58:{1,4,6,7}:{(31,1),(36,1),(92,1),(94,1),(175,1)}
        59:{2,5,7}:{(31,1),(32,1),(37,1),(94,1)}
        60:{1,4,5,7}:{(32,1),(38,1),(91,1),(95,1),(175,1),(243,1)}
        61:{1,3,4,7}:{(33,1),(34,1),(42,1),(83,1),(96,1),(97,1),(111,1),(165,1),(175,1),(241,1),(252,1),(283,1),(288,1)}
        62:{2,3,4,6}:{(33,1),(35,1),(43,1),(84,1),(97,1),(98,1),(101,1),(117,1),(171,1),(178,1),(195,1),(239,1),(244,1),(247,1),(289,1)}
        63:{2,5,7}:{(34,1),(96,1),(99,1),(179,1)}
        64:{1,3,6}:{(34,1),(35,1),(36,1),(99,1),(292,1),(306,1)}
        65:{2,3,5,6}:{(35,1),(37,1),(93,1),(98,1),(100,1),(101,1),(103,1),(184,1),(247,1)}
        66:{1,5,6}:{(36,1),(37,1),(94,1),(113,1),(167,1)}
        67:{2,4,5,6}:{(37,1),(38,1),(95,1),(101,1),(102,1),(103,1),(114,1),(168,1),(182,1),(184,1),(186,1),(230,1)}
        68:{2,4,6,7}:{(39,1),(40,1),(43,1),(105,1),(106,1),(110,1),(186,1)}
        69:{1,3,5,7}:{(39,1),(44,1),(104,1),(106,1),(107,1),(188,1)}
        70:{1,3,6,7}:{(40,1),(46,1),(105,1),(108,1),(109,1),(249,1)}
        71:{2,3,5,7}:{(40,1),(41,1),(47,1),(106,1),(109,1),(110,1),(174,1),(188,1),(241,1),(250,1),(251,1)}
        72:{1,4,7}:{(41,1),(48,1),(110,1)}
        73:{1,2,4,7}:{(42,1),(45,1),(96,1),(111,1),(112,1),(283,1),(307,1)}
        74:{1,4,6}:{(42,1),(43,1),(46,1),(113,1)}
        75:{2,5}:{(43,1),(44,1),(113,1)}
        76:{1,4,5}:{(44,1),(48,1),(114,1),(255,1)}
        77:{1,2,6}:{(45,1),(46,1),(99,1),(306,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(109,1),(113,1),(115,1),(116,1),(185,1),(191,1),(193,1),(194,1),(249,1)}
        79:{2,4,6}:{(47,1),(48,1),(110,1),(114,1),(116,1),(117,1),(244,1)}
        80:{1,3,4,6,7}:{(49,1),(52,1),(118,1),(119,1),(122,1),(197,1),(202,1),(258,1)}
        81:{2,3,6,7}:{(49,1),(54,1),(118,1),(120,1),(121,1),(132,1),(258,1),(296,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(55,1),(121,1),(122,1),(297,1),(298,1)}
        83:{1,4,7}:{(51,1),(53,1),(124,1),(262,1)}
        84:{2,4,6}:{(51,1),(52,1),(54,1),(124,1),(125,1)}
        85:{1,3,5}:{(52,1),(125,1),(126,1),(206,1)}
        86:{1,2,5,7}:{(53,1),(63,1),(123,1),(127,1),(204,1),(275,1)}
        87:{1,3,6}:{(53,1),(54,1),(124,1),(127,1)}
        88:{2,3,5,6}:{(54,1),(55,1),(121,1),(125,1),(128,1),(129,1),(141,1),(196,1),(206,1),(213,1),(216,1),(258,1),(264,1),(265,1),(296,1)}
        89:{1,4,6}:{(55,1),(122,1),(126,1),(129,1),(224,1)}
        90:{2,5,6,7}:{(56,1),(59,1),(130,1),(131,1),(145,1),(196,1)}
        91:{1,4,6,7}:{(56,1),(60,1),(131,1),(146,1),(197,1),(267,1)}
        92:{1,3,6,7}:{(57,1),(58,1),(64,1),(132,1),(133,1),(267,1)}
        93:{2,3,5,7}:{(57,1),(59,1),(65,1),(133,1),(134,1),(136,1),(212,1),(268,1)}
        94:{1,5,7}:{(58,1),(59,1),(66,1)}
        95:{2,4,5,7}:{(59,1),(60,1),(67,1),(131,1),(134,1),(135,1),(136,1),(210,1),(212,1)}
        96:{2,4,7}:{(61,1),(63,1),(137,1),(138,1),(302,1)}
        97:{1,3,4,6}:{(61,1),(62,1),(64,1),(74,1),(124,1),(138,1),(139,1),(142,1),(152,1),(203,1),(216,1),(224,1),(228,1),(262,1),(266,1),(270,1),(273,1),(303,1)}
        98:{2,3,5}:{(62,1),(75,1),(125,1),(139,1),(140,1),(155,1),(206,1),(226,1),(264,1)}
        99:{2,6}:{(63,1),(64,1)}
       100:{1,3,5,6}:{(64,1),(65,1),(66,1),(133,1),(139,1),(141,1),(142,1),(216,1),(218,1),(273,1)}
       101:{2,4,6}:{(65,1),(134,1),(140,1),(142,1),(143,1)}
       102:{1,4,5,6}:{(66,1),(67,1),(135,1),(142,1),(144,1),(154,1),(205,1),(219,1),(257,1)}
       103:{3,5,6}:{(67,1),(136,1),(143,1),(155,1),(206,1),(216,1),(220,1),(258,1)}
       104:{1,3,5,6}:{(69,1),(145,1),(146,1),(220,1)}
       105:{1,4,6,7}:{(68,1),(70,1),(74,1),(147,1),(150,1),(219,1)}
       106:{2,5,7}:{(68,1),(69,1),(75,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(69,1),(72,1),(76,1),(146,1),(148,1),(275,1)}
       108:{1,2,6,7}:{(70,1),(77,1),(132,1),(149,1),(267,1),(274,1)}
       109:{1,3,5,7}:{(70,1),(71,1),(78,1),(147,1),(149,1),(150,1),(222,1)}
       110:{2,4,7}:{(71,1),(72,1),(79,1),(150,1),(151,1)}
       111:{1,3,7}:{(73,1),(137,1),(152,1)}
       112:{1,2,4,6}:{(73,1),(74,1),(77,1),(138,1),(152,1),(153,1),(224,1),(266,1),(301,1),(312,1)}
       113:{1,5}:{(74,1),(75,1)}
       114:{2,4,5}:{(75,1),(76,1),(79,1),(154,1),(155,1),(226,1)}
       115:{1,2,5,6}:{(77,1),(78,1),(141,1),(149,1),(153,1),(156,1),(218,1),(226,1),(274,1)}
       116:{1,4,6}:{(78,1),(79,1),(150,1),(154,1),(224,1)}
       117:{3,4,6}:{(79,1),(151,1),(155,1),(216,1),(220,1),(270,1)}
       118:{2,4,6,7}:{(80,1),(81,1),(84,1),(159,1),(160,1),(164,1),(230,1)}
       119:{1,3,5,7}:{(80,1),(85,1),(158,1),(160,1),(161,1),(232,1)}
       120:{1,3,6,7}:{(81,1),(87,1),(159,1),(162,1),(163,1),(280,1)}
       121:{2,3,5,7}:{(81,1),(82,1),(88,1),(160,1),(163,1),(164,1),(174,1),(232,1),(241,1),(281,1),(282,1)}
       122:{1,4,7}:{(82,1),(89,1),(164,1)}
       123:{1,2,4,7}:{(83,1),(86,1),(96,1),(165,1),(166,1),(252,1),(293,1)}
       124:{1,4,6}:{(83,1),(84,1),(87,1),(167,1)}
       125:{2,5}:{(84,1),(85,1),(167,1)}
       126:{1,4,5}:{(85,1),(89,1),(168,1),(286,1)}
       127:{1,2,6}:{(86,1),(87,1),(99,1),(292,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(163,1),(167,1),(169,1),(170,1),(229,1),(235,1),(237,1),(238,1),(280,1)}
       129:{2,4,6}:{(88,1),(89,1),(164,1),(168,1),(170,1),(171,1),(244,1)}
       130:{1,5,6,7}:{(90,1),(94,1),(172,1),(185,1),(229,1)}
       131:{2,4,6,7}:{(90,1),(91,1),(95,1),(172,1),(173,1),(186,1),(230,1),(240,1)}
       132:{2,6,7}:{(92,1),(99,1),(174,1)}
       133:{1,3,5,7}:{(92,1),(93,1),(94,1),(100,1),(174,1),(175,1),(241,1),(243,1),(288,1)}
       134:{2,4,7}:{(93,1),(101,1),(175,1),(176,1)}
       135:{1,4,5,7}:{(94,1),(95,1),(102,1),(172,1),(175,1),(177,1)}
       136:{3,5,7}:{(95,1),(103,1),(173,1),(176,1),(241,1)}
       137:{2,3,7}:{(96,1),(111,1),(165,1),(178,1),(241,1)}
       138:{2,4,6}:{(96,1),(97,1),(99,1),(178,1),(179,1),(244,1),(291,1),(310,1)}
       139:{1,3,5}:{(97,1),(98,1),(113,1),(167,1),(179,1),(180,1),(245,1),(255,1),(286,1)}
       140:{2,4,5}:{(98,1),(101,1),(180,1),(181,1),(244,1)}
       141:{2,5,6}:{(99,1),(100,1),(174,1),(179,1),(182,1),(291,1)}
       142:{1,4,6}:{(100,1),(101,1),(175,1),(180,1),(182,1)}
       143:{3,4,6}:{(101,1),(103,1),(176,1),(181,1)}
       144:{1,3,5,6}:{(102,1),(103,1),(177,1),(183,1),(184,1),(193,1),(237,1),(249,1),(280,1)}
       145:{2,5,6}:{(104,1),(106,1),(185,1),(186,1)}
       146:{1,4,6}:{(104,1),(107,1),(186,1),(292,1)}
       147:{1,5,7}:{(105,1),(106,1),(113,1),(185,1)}
       148:{2,4,5,7}:{(106,1),(107,1),(110,1),(114,1),(186,1),(187,1),(188,1),(250,1)}
       149:{1,2,5,7}:{(108,1),(109,1),(115,1),(174,1),(189,1),(243,1),(250,1)}
       150:{1,4,7}:{(109,1),(110,1),(116,1)}
       151:{3,4,7}:{(110,1),(117,1),(188,1),(241,1)}
       152:{1,3,6}:{(111,1),(112,1),(178,1),(191,1),(314,1)}
       153:{1,2,5}:{(112,1),(113,1),(179,1),(191,1),(286,1)}
       154:{1,4,5}:{(113,1),(114,1),(116,1),(193,1)}
       155:{3,5}:{(114,1),(117,1)}
       156:{1,2,4,6}:{(115,1),(116,1),(182,1),(189,1),(192,1),(194,1),(195,1),(248,1),(291,1)}
       157:{1,3,4,6}:{(116,1),(117,1),(190,1),(193,1),(194,1),(195,1),(249,1),(253,1)}
       158:{1,3,5,6}:{(119,1),(196,1),(197,1),(258,1)}
       159:{1,4,6,7}:{(118,1),(120,1),(124,1),(198,1),(201,1),(257,1)}
       160:{2,5,7}:{(118,1),(119,1),(125,1),(196,1),(198,1)}
       161:{1,4,5,7}:{(119,1),(122,1),(126,1),(197,1),(199,1),(297,1)}
       162:{1,2,6,7}:{(120,1),(127,1),(132,1),(200,1),(267,1),(296,1)}
       163:{1,3,5,7}:{(120,1),(121,1),(128,1),(198,1),(200,1),(201,1),(260,1)}
       164:{2,4,7}:{(121,1),(122,1),(129,1),(201,1),(202,1)}
       165:{1,3,7}:{(123,1),(137,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(127,1),(138,1),(203,1),(204,1),(228,1),(262,1),(279,1),(305,1)}
       167:{1,5}:{(124,1),(125,1)}
       168:{2,4,5}:{(125,1),(126,1),(129,1),(205,1),(206,1),(264,1)}
       169:{1,2,5,6}:{(127,1),(128,1),(141,1),(200,1),(204,1),(207,1),(218,1),(264,1),(296,1)}
       170:{1,4,6}:{(128,1),(129,1),(201,1),(205,1),(262,1)}
       171:{3,4,6}:{(129,1),(202,1),(206,1),(216,1),(258,1),(270,1)}
       172:{1,4,6,7}:{(130,1),(131,1),(135,1),(209,1),(219,1),(257,1)}
       173:{3,6,7}:{(131,1),(136,1),(220,1),(258,1)}
       174:{2,5,7}:{(132,1),(133,1),(141,1),(210,1),(302,1)}
       175:{1,4,7}:{(133,1),(134,1),(142,1),(210,1)}
       176:{3,4,7}:{(134,1),(136,1),(143,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(144,1),(209,1),(211,1),(212,1)}
       178:{2,3,6}:{(137,1),(138,1),(152,1),(203,1),(213,1),(216,1),(313,1)}
       179:{2,5}:{(138,1),(139,1)}
       180:{1,4,5}:{(139,1),(140,1),(142,1),(214,1),(224,1),(262,1)}
       181:{3,4,5}:{(140,1),(143,1),(155,1),(206,1),(270,1)}
       182:{2,4,6}:{(141,1),(142,1),(210,1),(214,1),(216,1)}
       183:{1,3,4,6}:{(142,1),(143,1),(144,1),(211,1),(215,1),(216,1),(217,1),(273,1)}
       184:{2,5,6}:{(144,1),(212,1),(217,1),(218,1),(226,1),(264,1),(274,1),(296,1)}
       185:{1,5,6}:{(145,1),(147,1),(219,1)}
       186:{2,4,6}:{(145,1),(146,1),(148,1),(219,1),(220,1),(274,1)}
       187:{1,4,5,7}:{(147,1),(148,1),(150,1),(154,1),(219,1),(221,1)}
       188:{3,5,7}:{(148,1),(151,1),(155,1),(220,1)}
       189:{1,2,4,7}:{(149,1),(150,1),(156,1),(210,1),(222,1),(223,1),(269,1),(302,1)}
       190:{1,3,4,7}:{(150,1),(151,1),(157,1),(221,1),(222,1),(223,1)}
       191:{1,3,5}:{(152,1),(153,1),(213,1),(224,1)}
       192:{1,2,4,5}:{(153,1),(154,1),(156,1),(214,1),(224,1),(225,1),(226,1),(272,1),(277,1),(304,1),(312,1)}
       193:{1,3,5}:{(154,1),(155,1),(157,1),(226,1)}
       194:{1,3,6}:{(156,1),(216,1),(222,1),(225,1),(227,1)}
       195:{2,4,6}:{(157,1),(223,1),(226,1),(227,1),(228,1),(274,1),(277,1)}
       196:{2,5,6}:{(158,1),(160,1),(229,1),(230,1)}
       197:{1,4,6}:{(158,1),(161,1),(230,1),(306,1)}
       198:{1,5,7}:{(159,1),(160,1),(167,1),(229,1)}
       199:{2,4,5,7}:{(160,1),(161,1),(164,1),(168,1),(230,1),(231,1),(232,1),(281,1)}
       200:{1,2,5,7}:{(162,1),(163,1),(169,1),(174,1),(233,1),(243,1),(281,1)}
       201:{1,4,7}:{(163,1),(164,1),(170,1)}
       202:{3,4,7}:{(164,1),(171,1),(232,1),(241,1)}
       203:{1,3,6}:{(165,1),(166,1),(178,1),(235,1),(311,1)}
       204:{1,2,5}:{(166,1),(167,1),(179,1),(235,1),(255,1)}
       205:{1,4,5}:{(167,1),(168,1),(170,1),(237,1)}
       206:{3,5}:{(168,1),(171,1)}
       207:{1,2,4,6}:{(169,1),(170,1),(182,1),(233,1),(236,1),(238,1),(239,1),(248,1),(291,1)}
       208:{1,3,4,6}:{(170,1),(171,1),(234,1),(237,1),(238,1),(239,1),(280,1),(284,1)}
       209:{1,3,6,7}:{(172,1),(173,1),(177,1),(240,1),(249,1),(280,1)}
       210:{2,4,7}:{(174,1),(175,1),(182,1),(241,1)}
       211:{1,3,4,7}:{(175,1),(176,1),(177,1),(183,1),(241,1),(242,1),(288,1)}
       212:{2,5,7}:{(177,1),(184,1),(240,1),(242,1),(243,1)}
       213:{2,3,5}:{(178,1),(179,1),(191,1),(235,1),(244,1),(245,1)}
       214:{2,4,5}:{(179,1),(180,1),(182,1),(244,1),(245,1)}
       215:{1,3,4,5}:{(180,1),(181,1),(183,1),(193,1),(237,1),(245,1),(246,1),(253,1),(284,1),(290,1)}
       216:{3,6}:{(182,1),(241,1),(245,1)}
       217:{2,4,6}:{(183,1),(184,1),(242,1),(246,1),(247,1),(248,1),(291,1)}
       218:{1,5,6}:{(184,1),(243,1),(248,1),(255,1),(286,1),(292,1),(306,1)}
       219:{1,4,6}:{(185,1),(186,1),(187,1),(249,1)}
       220:{3,6}:{(186,1),(188,1)}
       221:{1,3,5,7}:{(187,1),(188,1),(190,1),(193,1),(249,1),(250,1)}
       222:{1,3,7}:{(189,1),(194,1),(241,1),(251,1)}
       223:{2,4,7}:{(190,1),(195,1),(250,1),(251,1),(252,1)}
       224:{1,4}:{(191,1),(244,1)}
       225:{1,3,5}:{(192,1),(194,1),(245,1),(253,1),(254,1),(314,1)}
       226:{2,5}:{(193,1),(195,1),(255,1)}
       227:{2,3,6}:{(194,1),(195,1),(251,1),(254,1),(256,1),(291,1)}
       228:{1,4,6}:{(195,1),(252,1),(255,1),(256,1),(292,1),(294,1)}
       229:{1,5,6}:{(196,1),(198,1),(257,1)}
       230:{2,4,6}:{(196,1),(197,1),(199,1),(257,1),(258,1),(296,1)}
       231:{1,4,5,7}:{(198,1),(199,1),(201,1),(205,1),(257,1),(259,1)}
       232:{3,5,7}:{(199,1),(202,1),(206,1),(258,1)}
       233:{1,2,4,7}:{(200,1),(201,1),(207,1),(210,1),(260,1),(261,1),(269,1),(302,1)}
       234:{1,3,4,7}:{(201,1),(202,1),(208,1),(259,1),(260,1),(261,1)}
       235:{1,3,5}:{(203,1),(204,1),(213,1),(262,1)}
       236:{1,2,4,5}:{(204,1),(205,1),(207,1),(214,1),(262,1),(263,1),(264,1),(272,1),(299,1),(304,1),(305,1)}
       237:{1,3,5}:{(205,1),(206,1),(208,1),(264,1)}
       238:{1,3,6}:{(207,1),(216,1),(260,1),(263,1),(265,1)}
       239:{2,4,6}:{(208,1),(261,1),(264,1),(265,1),(266,1),(296,1),(299,1)}
       240:{2,6,7}:{(209,1),(212,1),(267,1),(274,1),(296,1)}
       241:{3,7}:{(210,1),(216,1)}
       242:{2,4,7}:{(211,1),(212,1),(217,1),(268,1),(269,1),(302,1)}
       243:{1,5,7}:{(212,1),(218,1),(267,1),(269,1)}
       244:{2,4}:{(213,1),(224,1),(262,1),(270,1)}
       245:{3,5}:{(214,1),(216,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(226,1),(264,1),(271,1),(272,1),(277,1),(299,1),(304,1)}
       247:{2,3,6}:{(216,1),(217,1),(268,1),(271,1),(273,1)}
       248:{1,4,6}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       249:{1,3,6}:{(219,1),(220,1),(221,1),(274,1)}
       250:{2,5,7}:{(221,1),(223,1),(226,1),(274,1),(275,1)}
       251:{2,3,7}:{(222,1),(223,1),(227,1),(276,1),(302,1)}
       252:{1,4,7}:{(223,1),(228,1),(275,1),(276,1)}
       253:{1,3,4}:{(224,1),(225,1),(270,1),(277,1)}
       254:{2,3,5}:{(225,1),(226,1),(227,1),(277,1),(278,1),(304,1),(313,1)}
       255:{1,5}:{(226,1),(228,1)}
       256:{1,3,6}:{(227,1),(228,1),(276,1),(278,1),(279,1)}
       257:{1,4,6}:{(229,1),(230,1),(231,1),(280,1)}
       258:{3,6}:{(230,1),(232,1)}
       259:{1,3,5,7}:{(231,1),(232,1),(234,1),(237,1),(280,1),(281,1)}
       260:{1,3,7}:{(233,1),(238,1),(241,1),(282,1)}
       261:{2,4,7}:{(234,1),(239,1),(281,1),(282,1),(283,1)}
       262:{1,4}:{(235,1),(244,1)}
       263:{1,3,5}:{(236,1),(238,1),(245,1),(284,1),(285,1),(311,1)}
       264:{2,5}:{(237,1),(239,1),(286,1)}
       265:{2,3,6}:{(238,1),(239,1),(282,1),(285,1),(287,1),(291,1)}
       266:{1,4,6}:{(239,1),(283,1),(286,1),(287,1),(306,1),(308,1)}
       267:{1,6,7}:{(240,1),(243,1),(292,1),(306,1)}
       268:{2,3,7}:{(241,1),(242,1),(247,1),(288,1)}
       269:{1,4,7}:{(242,1),(243,1),(248,1),(288,1)}
       270:{3,4}:{(244,1),(245,1)}
       271:{2,3,5}:{(245,1),(246,1),(247,1),(289,1),(290,1)}
       272:{1,4,5}:{(246,1),(248,1),(255,1),(286,1),(290,1),(294,1),(308,1)}
       273:{1,3,6}:{(247,1),(248,1),(288,1),(290,1),(291,1)}
       274:{2,6}:{(249,1),(250,1),(292,1)}
       275:{1,5,7}:{(250,1),(252,1),(255,1),(292,1)}
       276:{1,3,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{2,4}:{(253,1),(254,1),(294,1)}
       278:{1,3,5}:{(254,1),(255,1),(256,1),(294,1),(295,1),(311,1)}
       279:{1,2,6}:{(256,1),(291,1),(293,1),(295,1)}
       280:{1,3,6}:{(257,1),(258,1),(259,1),(296,1)}
       281:{2,5,7}:{(259,1),(261,1),(264,1),(296,1),(297,1)}
       282:{2,3,7}:{(260,1),(261,1),(265,1),(298,1),(302,1)}
       283:{1,4,7}:{(261,1),(266,1),(297,1),(298,1)}
       284:{1,3,4}:{(262,1),(263,1),(270,1),(299,1)}
       285:{2,3,5}:{(263,1),(264,1),(265,1),(299,1),(300,1),(304,1),(313,1)}
       286:{1,5}:{(264,1),(266,1)}
       287:{1,3,6}:{(265,1),(266,1),(298,1),(300,1),(301,1)}
       288:{1,3,7}:{(268,1),(269,1),(273,1),(302,1)}
       289:{2,3,4}:{(270,1),(271,1),(277,1),(299,1),(303,1),(313,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(303,1),(304,1)}
       291:{2,6}:{(273,1),(302,1),(304,1)}
       292:{1,6}:{(274,1),(275,1)}
       293:{1,2,7}:{(276,1),(279,1),(302,1)}
       294:{1,4}:{(277,1),(278,1)}
       295:{1,2,5}:{(278,1),(279,1),(304,1),(305,1)}
       296:{2,6}:{(280,1),(281,1),(306,1)}
       297:{1,5,7}:{(281,1),(283,1),(286,1),(306,1)}
       298:{1,3,7}:{(282,1),(283,1),(287,1),(307,1)}
       299:{2,4}:{(284,1),(285,1),(308,1)}
       300:{1,3,5}:{(285,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(287,1),(291,1),(307,1),(309,1)}
       302:{2,7}:{(288,1),(291,1)}
       303:{1,3,4}:{(289,1),(290,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(290,1),(291,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1301 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(24,1),(31,1),(33,1),(39,1),(75,1),(76,1),(83,1),(132,1),(156,1),(194,1),(201,1),(203,1),(256,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(31,1),(66,1),(124,1),(194,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(25,1),(31,1),(37,1),(82,1),(91,1)}
         3:{1,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(47,1),(64,1),(166,1),(225,1),(230,1),(233,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(13,1),(46,1),(51,1),(58,1),(62,1),(114,1),(184,1),(189,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(14,1),(15,1),(189,1),(225,1)}
         6:{1,2,5,7}:{(1,1),(13,1),(15,1),(20,1),(96,1),(159,1),(239,1)}
         7:{1,3,4,5,7}:{(10,1),(16,1),(17,1),(21,1),(41,1),(47,1),(55,1),(64,1),(117,1),(160,1),(161,1),(170,1),(171,1),(186,1),(225,1),(228,1),(233,1),(274,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(46,1),(54,1),(62,1)}
         9:{1,3,5,7}:{(2,1),(18,1),(20,1),(21,1),(47,1),(64,1)}
        10:{1,3,4,7}:{(3,1),(24,1),(25,1),(31,1),(82,1),(256,1),(258,1)}
        11:{2,3,5,7}:{(3,1),(24,1),(26,1),(27,1),(75,1),(83,1),(133,1),(202,1)}
        12:{1,3,6}:{(3,1),(4,1),(27,1),(91,1),(216,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(28,1),(36,1),(75,1),(88,1),(149,1),(201,1),(263,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(27,1),(29,1),(30,1),(91,1),(124,1),(155,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(31,1),(156,1),(210,1)}
        16:{2,4,5,7}:{(7,1),(24,1),(32,1),(33,1),(34,1),(67,1),(75,1),(83,1),(126,1),(136,1),(147,1),(194,1),(203,1),(214,1)}
        17:{1,3,4,6}:{(7,1),(34,1),(35,1),(37,1),(84,1),(91,1),(150,1),(151,1),(216,1),(255,1),(290,1)}
        18:{1,3,5,6}:{(9,1),(36,1),(37,1),(91,1)}
        19:{1,4,6,7}:{(8,1),(29,1),(38,1),(74,1),(81,1),(90,1)}
        20:{2,5,7}:{(8,1),(9,1),(36,1),(38,1),(75,1)}
        21:{1,4,5,7}:{(9,1),(31,1),(37,1),(39,1),(76,1),(156,1)}
        22:{1,3,4,6,7}:{(17,1),(40,1),(41,1),(43,1),(93,1),(99,1),(160,1),(161,1),(225,1)}
        23:{1,3,5,6,7}:{(18,1),(41,1),(42,1),(43,1),(99,1),(227,1)}
        24:{2,4,7}:{(10,1),(11,1),(45,1),(46,1),(232,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(46,1),(47,1),(51,1),(109,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(103,1),(105,1),(172,1)}
        27:{2,3,6}:{(11,1),(12,1),(46,1),(49,1),(114,1)}
        28:{1,3,5,6}:{(12,1),(13,1),(15,1),(47,1),(50,1),(51,1),(189,1),(230,1),(237,1),(238,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(49,1),(52,1),(53,1),(122,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(20,1),(50,1),(53,1),(54,1),(64,1),(123,1),(159,1),(177,1),(225,1)}
        31:{1,4,7}:{(15,1),(51,1),(54,1)}
        32:{2,3,5,7}:{(16,1),(44,1),(55,1),(56,1),(64,1),(102,1),(123,1),(225,1),(233,1),(274,1),(301,1)}
        33:{1,4,5,7}:{(16,1),(45,1),(55,1),(58,1),(96,1),(105,1),(160,1),(170,1),(179,1),(240,1)}
        34:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(59,1),(114,1)}
        35:{1,3,5,6}:{(17,1),(41,1),(47,1),(59,1),(60,1),(121,1),(186,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1),(62,1)}
        37:{1,4,6}:{(18,1),(21,1),(62,1),(189,1)}
        38:{1,5,7}:{(19,1),(20,1),(61,1),(105,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(54,1),(62,1),(63,1),(64,1),(106,1),(123,1)}
        40:{2,4,6,7}:{(22,1),(34,1),(65,1),(66,1),(67,1),(124,1),(126,1),(194,1)}
        41:{1,3,5,7}:{(22,1),(35,1),(67,1),(68,1),(130,1)}
        42:{2,5,6,7}:{(23,1),(36,1),(67,1),(69,1),(70,1),(250,1)}
        43:{1,4,6,7}:{(23,1),(37,1),(68,1),(70,1),(199,1),(255,1)}
        44:{2,3,4,7}:{(24,1),(32,1),(71,1),(72,1),(82,1),(126,1),(133,1),(144,1),(147,1),(252,1),(253,1),(258,1),(288,1)}
        45:{1,4,7}:{(24,1),(26,1),(74,1),(205,1)}
        46:{2,4,6}:{(24,1),(25,1),(27,1),(74,1),(75,1)}
        47:{1,3,5}:{(25,1),(75,1),(76,1),(140,1)}
        48:{1,2,5,7}:{(26,1),(73,1),(77,1),(83,1),(138,1),(310,1)}
        49:{1,3,6}:{(26,1),(27,1),(74,1),(77,1)}
        50:{2,3,5,6}:{(27,1),(28,1),(30,1),(36,1),(75,1),(78,1),(79,1),(91,1),(140,1),(149,1),(155,1),(202,1),(207,1),(208,1),(216,1)}
        51:{1,4,6}:{(28,1),(31,1),(76,1),(79,1),(256,1)}
        52:{1,2,6,7}:{(29,1),(77,1),(80,1),(124,1),(155,1),(199,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(38,1),(78,1),(80,1),(81,1),(143,1)}
        54:{2,4,7}:{(30,1),(31,1),(79,1),(81,1),(82,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(71,1),(83,1),(84,1),(135,1),(156,1),(310,1)}
        56:{2,3,6}:{(32,1),(34,1),(84,1),(91,1),(155,1),(216,1),(290,1),(309,1)}
        57:{1,2,4,5,7}:{(33,1),(73,1),(83,1),(86,1),(87,1),(128,1),(138,1),(147,1),(194,1),(197,1),(203,1),(205,1),(214,1),(218,1),(251,1),(310,1)}
        58:{1,4,6}:{(33,1),(34,1),(84,1),(88,1)}
        59:{2,5,6}:{(34,1),(35,1),(67,1),(75,1),(88,1),(214,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(68,1),(76,1),(89,1),(150,1),(218,1),(219,1),(255,1)}
        61:{1,5,6}:{(36,1),(38,1),(90,1)}
        62:{2,4,6}:{(36,1),(37,1),(39,1),(90,1),(91,1),(155,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(81,1),(90,1),(92,1),(139,1)}
        64:{3,5,7}:{(39,1),(82,1),(91,1),(140,1)}
        65:{2,3,6,7}:{(40,1),(56,1),(93,1),(94,1),(99,1),(165,1),(225,1)}
        66:{1,4,6,7}:{(40,1),(58,1),(93,1),(96,1),(160,1)}
        67:{2,5,7}:{(40,1),(41,1),(59,1),(96,1)}
        68:{1,4,5,7}:{(41,1),(43,1),(60,1),(97,1),(160,1),(229,1)}
        69:{1,5,6,7}:{(42,1),(61,1),(96,1),(98,1),(269,1)}
        70:{2,4,6,7}:{(42,1),(43,1),(62,1),(97,1),(98,1),(99,1),(165,1),(273,1)}
        71:{1,3,4,7}:{(44,1),(45,1),(55,1),(100,1),(101,1),(103,1),(160,1),(166,1),(178,1),(179,1),(225,1),(275,1),(302,1)}
        72:{2,3,4,6}:{(44,1),(46,1),(56,1),(101,1),(102,1),(109,1),(116,1),(168,1),(176,1),(182,1),(232,1),(244,1),(245,1),(278,1),(283,1)}
        73:{1,2,4,7}:{(45,1),(48,1),(100,1),(103,1),(104,1),(302,1),(303,1)}
        74:{1,4,6}:{(45,1),(46,1),(49,1),(105,1)}
        75:{2,5}:{(46,1),(47,1),(105,1)}
        76:{1,4,5}:{(47,1),(51,1),(106,1),(237,1)}
        77:{1,2,6}:{(48,1),(49,1),(114,1),(313,1)}
        78:{1,3,5,6}:{(49,1),(50,1),(53,1),(61,1),(105,1),(107,1),(108,1),(122,1),(172,1),(174,1),(175,1)}
        79:{2,4,6}:{(50,1),(51,1),(54,1),(106,1),(108,1),(109,1),(232,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(107,1),(110,1),(123,1),(159,1),(229,1)}
        81:{1,4,7}:{(53,1),(54,1),(108,1)}
        82:{3,4,7}:{(54,1),(64,1),(109,1),(225,1)}
        83:{2,5,7}:{(55,1),(100,1),(114,1),(169,1)}
        84:{1,3,6}:{(55,1),(56,1),(58,1),(114,1),(189,1),(313,1)}
        85:{2,3,5,6}:{(56,1),(59,1),(94,1),(102,1),(115,1),(116,1),(121,1),(188,1),(245,1)}
        86:{1,3,5,7}:{(57,1),(103,1),(113,1),(117,1),(118,1),(172,1),(186,1),(225,1),(233,1),(274,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(114,1),(118,1),(119,1),(182,1),(184,1),(187,1),(273,1),(313,1)}
        88:{1,5,6}:{(58,1),(59,1),(96,1),(105,1),(240,1)}
        89:{2,4,5,6}:{(59,1),(60,1),(62,1),(97,1),(106,1),(116,1),(120,1),(121,1),(184,1),(188,1),(243,1),(273,1)}
        90:{1,4,6}:{(61,1),(62,1),(63,1),(122,1)}
        91:{3,6}:{(62,1),(64,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(111,1),(122,1),(123,1),(174,1)}
        93:{1,3,6,7}:{(65,1),(66,1),(84,1),(124,1),(125,1),(199,1)}
        94:{2,3,5,7}:{(65,1),(67,1),(85,1),(125,1),(126,1),(130,1),(198,1),(253,1)}
        95:{1,2,4,6,7}:{(66,1),(87,1),(124,1),(127,1),(128,1),(192,1),(194,1),(197,1)}
        96:{1,5,7}:{(66,1),(67,1),(88,1)}
        97:{2,4,5,7}:{(67,1),(68,1),(70,1),(89,1),(126,1),(129,1),(130,1),(194,1),(198,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(90,1),(129,1),(131,1),(286,1)}
        99:{3,6,7}:{(70,1),(91,1),(130,1),(290,1)}
       100:{2,4,7}:{(71,1),(83,1),(133,1),(134,1),(291,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(74,1),(84,1),(134,1),(135,1),(137,1),(150,1),(200,1),(205,1),(209,1),(211,1),(216,1),(256,1),(258,1),(268,1),(294,1),(298,1)}
       102:{2,3,5}:{(72,1),(75,1),(135,1),(136,1),(140,1),(207,1),(214,1),(267,1),(297,1)}
       103:{1,3,7}:{(73,1),(133,1),(137,1)}
       104:{1,2,4,6}:{(73,1),(74,1),(77,1),(134,1),(137,1),(138,1),(205,1),(298,1),(299,1),(311,1)}
       105:{1,5}:{(74,1),(75,1)}
       106:{2,4,5}:{(75,1),(76,1),(79,1),(139,1),(140,1),(207,1)}
       107:{1,2,5,6}:{(77,1),(78,1),(80,1),(138,1),(141,1),(149,1),(155,1),(207,1),(219,1)}
       108:{1,4,6}:{(78,1),(79,1),(81,1),(139,1),(205,1)}
       109:{3,4,6}:{(79,1),(82,1),(91,1),(140,1),(216,1),(258,1)}
       110:{1,2,4,7}:{(80,1),(81,1),(141,1),(143,1),(144,1),(194,1),(254,1),(291,1)}
       111:{1,3,4,7}:{(81,1),(82,1),(92,1),(142,1),(143,1),(144,1)}
       112:{1,2,5,7}:{(83,1),(132,1),(145,1),(146,1),(156,1),(201,1)}
       113:{2,3,5,7}:{(83,1),(86,1),(133,1),(145,1),(147,1),(148,1),(202,1),(214,1)}
       114:{2,6}:{(83,1),(84,1)}
       115:{1,3,5,6}:{(84,1),(85,1),(88,1),(125,1),(135,1),(149,1),(150,1),(216,1),(219,1),(268,1)}
       116:{2,4,6}:{(85,1),(126,1),(136,1),(150,1),(151,1)}
       117:{1,3,4,7}:{(86,1),(147,1),(152,1),(197,1),(205,1),(252,1),(258,1)}
       118:{1,3,6}:{(86,1),(87,1),(148,1),(216,1),(290,1)}
       119:{1,2,5,6}:{(87,1),(88,1),(128,1),(138,1),(149,1),(153,1),(214,1),(250,1),(299,1)}
       120:{1,4,5,6}:{(88,1),(89,1),(90,1),(129,1),(139,1),(150,1),(154,1),(264,1),(286,1)}
       121:{3,5,6}:{(89,1),(91,1),(130,1),(140,1),(151,1),(216,1),(267,1),(290,1)}
       122:{1,3,6}:{(90,1),(91,1),(92,1),(155,1)}
       123:{2,5,7}:{(92,1),(144,1),(155,1),(156,1),(207,1)}
       124:{2,6,7}:{(93,1),(114,1),(159,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(96,1),(115,1),(159,1),(160,1),(225,1),(229,1),(275,1)}
       126:{2,4,7}:{(94,1),(116,1),(160,1),(161,1)}
       127:{1,3,6,7}:{(95,1),(118,1),(158,1),(163,1),(225,1),(313,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(119,1),(159,1),(163,1),(223,1),(303,1)}
       129:{1,4,5,7}:{(96,1),(97,1),(98,1),(120,1),(160,1),(164,1)}
       130:{3,5,7}:{(97,1),(99,1),(121,1),(161,1),(225,1)}
       131:{1,3,6,7}:{(98,1),(99,1),(122,1),(164,1),(165,1),(300,1)}
       132:{1,2,4,7}:{(100,1),(112,1),(166,1),(167,1),(178,1),(179,1),(239,1)}
       133:{2,3,7}:{(100,1),(103,1),(166,1),(168,1),(225,1)}
       134:{2,4,6}:{(100,1),(101,1),(114,1),(168,1),(169,1),(232,1),(285,1),(306,1)}
       135:{1,3,5}:{(101,1),(102,1),(105,1),(169,1),(170,1),(233,1),(237,1),(240,1),(308,1)}
       136:{2,4,5}:{(102,1),(116,1),(170,1),(171,1),(232,1)}
       137:{1,3,6}:{(103,1),(104,1),(168,1),(172,1),(314,1)}
       138:{1,2,5}:{(104,1),(105,1),(169,1),(172,1),(308,1)}
       139:{1,4,5}:{(105,1),(106,1),(108,1),(174,1)}
       140:{3,5}:{(106,1),(109,1)}
       141:{1,2,4,6}:{(107,1),(108,1),(110,1),(173,1),(175,1),(176,1),(184,1),(246,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(111,1),(122,1),(174,1),(175,1),(176,1),(235,1)}
       143:{1,3,7}:{(110,1),(175,1),(177,1),(225,1)}
       144:{2,4,7}:{(111,1),(123,1),(176,1),(177,1),(178,1)}
       145:{1,3,5,7}:{(112,1),(113,1),(166,1),(179,1),(180,1),(230,1),(240,1)}
       146:{1,2,6}:{(112,1),(114,1),(180,1),(189,1)}
       147:{2,4,7}:{(113,1),(117,1),(179,1),(182,1),(232,1)}
       148:{2,3,6}:{(113,1),(114,1),(118,1),(180,1),(182,1)}
       149:{2,5,6}:{(114,1),(115,1),(159,1),(169,1),(184,1),(285,1)}
       150:{1,4,6}:{(115,1),(116,1),(160,1),(170,1),(184,1)}
       151:{3,4,6}:{(116,1),(121,1),(161,1),(171,1)}
       152:{1,3,4,6}:{(117,1),(118,1),(182,1),(186,1),(187,1),(244,1)}
       153:{1,3,5,6}:{(118,1),(119,1),(163,1),(172,1),(183,1),(186,1),(187,1),(284,1),(308,1),(313,1)}
       154:{1,3,5,6}:{(120,1),(121,1),(122,1),(164,1),(174,1),(185,1),(188,1),(282,1),(300,1)}
       155:{2,6}:{(122,1),(123,1),(189,1)}
       156:{1,5,7}:{(123,1),(178,1),(189,1),(237,1)}
       157:{1,2,6,7}:{(124,1),(146,1),(190,1),(191,1),(199,1),(309,1)}
       158:{2,3,6,7}:{(124,1),(127,1),(148,1),(190,1),(192,1),(193,1),(290,1),(309,1)}
       159:{2,5,7}:{(124,1),(125,1),(149,1),(194,1),(291,1)}
       160:{1,4,7}:{(125,1),(126,1),(150,1),(194,1)}
       161:{3,4,7}:{(126,1),(130,1),(151,1)}
       162:{1,3,4,6,7}:{(127,1),(152,1),(192,1),(196,1),(197,1),(252,1),(255,1),(290,1)}
       163:{1,3,5,7}:{(127,1),(128,1),(153,1),(193,1),(197,1),(289,1),(310,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(131,1),(154,1),(195,1),(198,1)}
       165:{2,6,7}:{(131,1),(155,1),(198,1),(199,1),(309,1)}
       166:{1,3,7}:{(132,1),(133,1),(200,1)}
       167:{1,2,4,6}:{(132,1),(134,1),(146,1),(200,1),(201,1),(209,1),(211,1),(256,1),(263,1),(296,1)}
       168:{2,3,6}:{(133,1),(134,1),(137,1),(200,1),(202,1),(216,1),(312,1)}
       169:{2,5}:{(134,1),(135,1)}
       170:{1,4,5}:{(135,1),(136,1),(150,1),(203,1),(205,1),(256,1)}
       171:{3,4,5}:{(136,1),(140,1),(151,1),(258,1),(267,1)}
       172:{1,3,5}:{(137,1),(138,1),(202,1),(205,1)}
       173:{1,2,4,5}:{(138,1),(139,1),(141,1),(203,1),(205,1),(206,1),(207,1),(260,1),(261,1),(295,1),(311,1)}
       174:{1,3,5}:{(139,1),(140,1),(142,1),(207,1)}
       175:{1,3,6}:{(141,1),(143,1),(206,1),(208,1),(216,1)}
       176:{2,4,6}:{(142,1),(144,1),(155,1),(207,1),(208,1),(209,1),(261,1)}
       177:{2,3,7}:{(143,1),(144,1),(208,1),(210,1),(291,1)}
       178:{1,4,7}:{(144,1),(156,1),(209,1),(210,1)}
       179:{1,4,7}:{(145,1),(147,1),(211,1),(256,1)}
       180:{1,3,6}:{(145,1),(146,1),(148,1),(211,1)}
       181:{1,2,5,6}:{(146,1),(149,1),(191,1),(201,1),(212,1),(213,1),(219,1),(297,1),(309,1)}
       182:{2,4,6}:{(147,1),(148,1),(152,1),(211,1),(214,1)}
       183:{2,3,5,6}:{(148,1),(149,1),(153,1),(193,1),(202,1),(212,1),(214,1),(215,1),(216,1),(250,1),(266,1),(267,1),(290,1),(297,1),(309,1)}
       184:{2,4,6}:{(149,1),(150,1),(194,1),(203,1),(216,1)}
       185:{1,3,4,6}:{(150,1),(151,1),(154,1),(195,1),(204,1),(216,1),(217,1),(268,1)}
       186:{1,3,5}:{(152,1),(214,1),(218,1),(267,1)}
       187:{1,4,6}:{(153,1),(197,1),(205,1),(215,1),(218,1)}
       188:{2,5,6}:{(154,1),(155,1),(198,1),(207,1),(217,1),(219,1),(297,1),(309,1)}
       189:{1,6}:{(155,1),(156,1)}
       190:{1,3,6,7}:{(157,1),(158,1),(180,1),(220,1),(221,1),(300,1)}
       191:{1,2,5,7}:{(157,1),(159,1),(181,1),(221,1),(222,1),(229,1),(301,1)}
       192:{2,4,6,7}:{(158,1),(162,1),(182,1),(220,1),(223,1),(224,1),(273,1)}
       193:{2,3,5,7}:{(158,1),(159,1),(163,1),(183,1),(221,1),(223,1),(224,1),(225,1),(272,1),(274,1),(301,1)}
       194:{2,4,7}:{(159,1),(160,1),(184,1),(225,1)}
       195:{1,3,4,7}:{(160,1),(161,1),(164,1),(185,1),(225,1),(226,1),(275,1)}
       196:{1,3,5,7}:{(162,1),(186,1),(223,1),(227,1),(228,1),(274,1)}
       197:{1,4,7}:{(163,1),(187,1),(224,1)}
       198:{2,5,7}:{(164,1),(165,1),(188,1),(226,1),(229,1)}
       199:{1,6,7}:{(165,1),(189,1),(229,1),(313,1)}
       200:{1,3,6}:{(166,1),(167,1),(168,1),(230,1),(307,1)}
       201:{1,2,5}:{(167,1),(169,1),(230,1),(237,1),(240,1)}
       202:{2,3,5}:{(168,1),(169,1),(172,1),(230,1),(232,1),(233,1)}
       203:{2,4,5}:{(169,1),(170,1),(184,1),(232,1),(233,1)}
       204:{1,3,4,5}:{(170,1),(171,1),(174,1),(185,1),(233,1),(234,1),(235,1),(276,1),(279,1),(282,1)}
       205:{1,4}:{(172,1),(232,1)}
       206:{1,3,5}:{(173,1),(175,1),(233,1),(235,1),(236,1),(314,1)}
       207:{2,5}:{(174,1),(176,1),(237,1)}
       208:{2,3,6}:{(175,1),(176,1),(177,1),(236,1),(238,1),(285,1)}
       209:{1,4,6}:{(176,1),(178,1),(189,1),(237,1),(238,1),(280,1)}
       210:{1,3,7}:{(177,1),(178,1),(238,1),(239,1)}
       211:{1,4,6}:{(179,1),(180,1),(182,1),(240,1)}
       212:{1,3,5,6}:{(180,1),(181,1),(183,1),(221,1),(230,1),(240,1),(241,1),(242,1),(269,1),(282,1),(300,1)}
       213:{1,2,4,6}:{(181,1),(184,1),(222,1),(231,1),(241,1),(242,1),(246,1),(283,1),(285,1)}
       214:{2,5}:{(182,1),(186,1),(240,1)}
       215:{2,4,6}:{(183,1),(187,1),(224,1),(232,1),(241,1),(243,1),(244,1)}
       216:{3,6}:{(184,1),(225,1),(233,1)}
       217:{2,4,6}:{(185,1),(188,1),(226,1),(234,1),(245,1),(246,1),(285,1)}
       218:{1,4,5}:{(186,1),(187,1),(243,1),(308,1)}
       219:{1,5,6}:{(188,1),(189,1),(229,1),(237,1),(246,1),(308,1),(313,1)}
       220:{1,4,6,7}:{(190,1),(192,1),(211,1),(247,1),(248,1),(286,1)}
       221:{1,3,5,7}:{(190,1),(191,1),(193,1),(212,1),(247,1),(248,1),(249,1)}
       222:{1,2,4,7}:{(191,1),(194,1),(213,1),(248,1),(249,1),(254,1),(288,1),(291,1)}
       223:{2,5,7}:{(192,1),(196,1),(214,1),(247,1),(250,1)}
       224:{2,4,7}:{(193,1),(197,1),(215,1),(248,1),(252,1)}
       225:{3,7}:{(194,1),(216,1)}
       226:{2,4,7}:{(195,1),(198,1),(217,1),(253,1),(254,1),(291,1)}
       227:{1,3,5,6}:{(196,1),(250,1),(255,1),(290,1)}
       228:{1,4,5,7}:{(196,1),(197,1),(218,1),(251,1),(255,1),(310,1)}
       229:{1,5,7}:{(198,1),(199,1),(219,1),(254,1)}
       230:{1,3,5}:{(200,1),(201,1),(202,1),(256,1)}
       231:{1,2,4,5}:{(201,1),(203,1),(213,1),(256,1),(257,1),(260,1),(264,1),(292,1),(295,1),(296,1),(297,1)}
       232:{2,4}:{(202,1),(205,1),(256,1),(258,1)}
       233:{3,5}:{(203,1),(216,1),(258,1)}
       234:{2,4,5}:{(204,1),(207,1),(217,1),(259,1),(260,1),(261,1),(292,1),(295,1),(297,1)}
       235:{1,3,4}:{(205,1),(206,1),(258,1),(261,1)}
       236:{2,3,5}:{(206,1),(207,1),(208,1),(261,1),(262,1),(295,1),(312,1)}
       237:{1,5}:{(207,1),(209,1)}
       238:{1,3,6}:{(208,1),(209,1),(210,1),(262,1),(263,1)}
       239:{1,2,7}:{(210,1),(263,1),(291,1)}
       240:{1,5}:{(211,1),(214,1)}
       241:{1,4,6}:{(212,1),(215,1),(248,1),(256,1),(264,1)}
       242:{1,3,6}:{(213,1),(216,1),(249,1),(257,1),(266,1)}
       243:{2,4,5}:{(214,1),(215,1),(218,1),(264,1),(267,1),(297,1)}
       244:{3,4,6}:{(215,1),(216,1),(252,1),(258,1),(267,1),(290,1)}
       245:{2,3,6}:{(216,1),(217,1),(253,1),(259,1),(268,1)}
       246:{1,4,6}:{(217,1),(219,1),(254,1),(260,1),(268,1)}
       247:{1,5,7}:{(220,1),(223,1),(240,1),(269,1)}
       248:{1,4,7}:{(221,1),(224,1),(241,1)}
       249:{1,3,7}:{(222,1),(225,1),(242,1),(272,1)}
       250:{2,5,6}:{(223,1),(227,1),(269,1),(273,1)}
       251:{2,4,5,7}:{(223,1),(224,1),(228,1),(243,1),(270,1),(273,1),(274,1),(301,1)}
       252:{3,4,7}:{(224,1),(225,1),(244,1),(274,1)}
       253:{2,3,7}:{(225,1),(226,1),(245,1),(275,1)}
       254:{1,4,7}:{(226,1),(229,1),(246,1),(275,1)}
       255:{1,4,6}:{(227,1),(228,1),(273,1),(313,1)}
       256:{1,4}:{(230,1),(232,1)}
       257:{1,3,5}:{(231,1),(233,1),(242,1),(276,1),(277,1),(307,1)}
       258:{3,4}:{(232,1),(233,1)}
       259:{2,3,5}:{(233,1),(234,1),(245,1),(278,1),(279,1)}
       260:{1,4,5}:{(234,1),(237,1),(246,1),(279,1),(280,1),(304,1),(308,1)}
       261:{2,4}:{(235,1),(236,1),(280,1)}
       262:{1,3,5}:{(236,1),(237,1),(238,1),(280,1),(281,1),(307,1)}
       263:{1,2,6}:{(238,1),(239,1),(281,1),(285,1)}
       264:{1,4,5}:{(240,1),(241,1),(243,1),(282,1)}
       265:{1,3,4,6}:{(241,1),(242,1),(244,1),(271,1),(276,1),(282,1),(283,1),(300,1)}
       266:{2,3,6}:{(242,1),(272,1),(277,1),(283,1),(284,1),(285,1)}
       267:{3,5}:{(243,1),(244,1)}
       268:{1,3,6}:{(245,1),(246,1),(275,1),(279,1),(285,1)}
       269:{1,5,6}:{(247,1),(250,1),(286,1)}
       270:{1,4,5,7}:{(247,1),(248,1),(251,1),(264,1),(286,1),(287,1)}
       271:{1,3,4,7}:{(248,1),(249,1),(252,1),(265,1),(287,1),(288,1)}
       272:{2,3,7}:{(249,1),(266,1),(288,1),(289,1),(291,1)}
       273:{2,4,6}:{(250,1),(251,1),(255,1),(286,1),(290,1),(309,1)}
       274:{3,5,7}:{(251,1),(252,1),(267,1),(290,1)}
       275:{1,3,7}:{(253,1),(254,1),(268,1),(291,1)}
       276:{1,3,4}:{(256,1),(257,1),(258,1),(292,1)}
       277:{2,3,5}:{(257,1),(266,1),(292,1),(293,1),(295,1),(297,1),(312,1)}
       278:{2,3,4}:{(258,1),(259,1),(261,1),(292,1),(294,1),(312,1)}
       279:{1,3,5}:{(259,1),(260,1),(268,1),(294,1),(295,1)}
       280:{1,4}:{(261,1),(262,1)}
       281:{1,2,5}:{(262,1),(263,1),(295,1),(296,1)}
       282:{1,3,5}:{(264,1),(265,1),(267,1),(297,1)}
       283:{2,4,6}:{(265,1),(266,1),(288,1),(292,1),(297,1),(298,1),(309,1)}
       284:{1,3,6}:{(266,1),(289,1),(293,1),(298,1),(299,1)}
       285:{2,6}:{(268,1),(291,1),(295,1)}
       286:{1,4,6}:{(269,1),(270,1),(273,1),(300,1)}
       287:{1,3,5,7}:{(270,1),(271,1),(274,1),(282,1),(300,1),(301,1)}
       288:{2,4,7}:{(271,1),(272,1),(283,1),(301,1),(302,1)}
       289:{1,3,7}:{(272,1),(284,1),(302,1),(303,1)}
       290:{3,6}:{(273,1),(274,1)}
       291:{2,7}:{(275,1),(285,1)}
       292:{2,4}:{(276,1),(277,1),(304,1)}
       293:{1,3,5}:{(277,1),(284,1),(304,1),(305,1),(308,1),(314,1)}
       294:{1,3,4}:{(278,1),(279,1),(280,1),(304,1),(306,1),(307,1),(314,1)}
       295:{2,5}:{(279,1),(285,1),(306,1)}
       296:{1,2,4}:{(280,1),(281,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(283,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(302,1),(304,1),(308,1),(313,1)}
       299:{1,2,6}:{(284,1),(285,1),(303,1),(305,1)}
       300:{1,3,6}:{(286,1),(287,1),(290,1),(309,1)}
       301:{2,5,7}:{(287,1),(288,1),(297,1),(309,1),(310,1)}
       302:{1,4,7}:{(288,1),(289,1),(298,1),(310,1)}
       303:{1,2,7}:{(289,1),(291,1),(299,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(295,1),(299,1),(311,1)}
       306:{2,4}:{(294,1),(295,1),(312,1)}
       307:{1,3}:{(296,1),(312,1)}
       308:{1,5}:{(297,1),(298,1)}
       309:{2,6}:{(300,1),(301,1),(313,1)}
       310:{1,5,7}:{(301,1),(302,1),(308,1),(313,1)}
       311:{1,2,4}:{(304,1),(305,1),(306,1),(314,1)}
       312:{2,3}:{(306,1),(307,1),(314,1)}
       313:{1,6}:{(309,1),(310,1)}
       314:{1,3}:{(311,1),(312,1)}

1302 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(39,1),(48,1),(79,1),(87,1),(88,1),(90,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(23,1),(27,1),(34,1),(61,1),(66,1),(68,1),(72,1),(100,1),(102,1),(111,1),(112,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(56,1),(98,1),(109,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(123,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(120,1),(122,1),(134,1),(154,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(124,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(120,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(4,1),(21,1),(22,1),(56,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(5,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(23,1),(29,1),(66,1),(73,1),(103,1),(139,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(140,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(61,1),(71,1),(101,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(56,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(142,1),(146,1),(163,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(143,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(36,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(14,1),(41,1),(81,1),(94,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(15,1),(40,1),(41,1),(120,1),(134,1),(153,1)}
        25:{2,4,5,6}:{(13,1),(36,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(41,1),(45,1),(48,1),(49,1),(153,1),(169,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(77,1),(82,1),(91,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(124,1),(154,1),(170,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,4,5,7}:{(22,1),(25,1),(55,1),(56,1),(98,1),(162,1)}
        37:{2,5,6,7}:{(21,1),(26,1),(57,1),(98,1),(139,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(27,1),(55,1),(57,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(56,1)}
        40:{1,2,5,6}:{(24,1),(26,1),(59,1),(60,1),(108,1),(116,1),(140,1),(146,1),(150,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(29,1),(59,1),(61,1)}
        42:{1,2,4,5,7}:{(24,1),(30,1),(60,1),(61,1),(62,1),(70,1),(101,1),(104,1),(113,1),(117,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(55,1),(63,1),(64,1),(71,1),(101,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(56,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(59,1),(65,1),(66,1),(73,1),(103,1),(109,1),(114,1),(140,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(61,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(98,1),(104,1),(113,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,4,5,7}:{(36,1),(38,1),(43,1),(76,1),(77,1),(120,1),(152,1)}
        56:{3,5,7}:{(36,1),(39,1),(44,1),(169,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(46,1),(76,1),(78,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(47,1),(77,1),(78,1),(79,1),(118,1),(121,1),(152,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(80,1),(81,1),(94,1),(122,1),(134,1),(161,1)}
        60:{1,2,4,6}:{(40,1),(42,1),(46,1),(80,1),(81,1),(89,1),(123,1),(132,1),(158,1)}
        61:{1,4,7}:{(41,1),(48,1),(80,1)}
        62:{1,3,5,7}:{(42,1),(49,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(76,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(77,1),(84,1),(85,1),(92,1),(122,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(80,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(169,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(169,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(120,1),(125,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(57,1),(63,1),(97,1),(98,1),(137,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(58,1),(64,1),(97,1),(98,1)}
        78:{3,6,7}:{(57,1),(66,1),(97,1)}
        79:{2,4,6,7}:{(58,1),(67,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(61,1),(65,1),(101,1),(168,1)}
        81:{1,3,6}:{(60,1),(62,1),(66,1),(103,1),(166,1)}
        82:{1,3,4,7}:{(61,1),(62,1),(68,1),(102,1),(104,1),(168,1),(174,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(113,1),(140,1),(149,1),(167,1)}
        84:{3,5,6}:{(63,1),(66,1),(97,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(98,1),(108,1),(114,1),(140,1)}
        86:{2,4,5}:{(65,1),(71,1),(101,1),(109,1),(114,1),(140,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(104,1),(110,1),(112,1),(137,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(78,1),(84,1),(118,1)}
        98:{2,5,7}:{(77,1),(79,1),(85,1),(120,1)}
        99:{2,3,6,7}:{(78,1),(79,1),(88,1),(119,1),(121,1),(169,1)}
       100:{1,4,6,7}:{(79,1),(89,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(86,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(87,1),(122,1),(123,1)}
       103:{2,3,6}:{(81,1),(83,1),(123,1),(124,1),(132,1)}
       104:{2,4,7}:{(82,1),(83,1),(123,1),(125,1),(172,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,4,6}:{(84,1),(118,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(119,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(120,1),(134,1),(154,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(123,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(125,1),(131,1),(133,1),(136,1),(152,1),(156,1),(169,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{3,4,7}:{(97,1),(106,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1)}
       120:{1,5,7}:{(98,1),(100,1),(108,1)}
       121:{1,3,6,7}:{(99,1),(100,1),(111,1),(138,1),(139,1)}
       122:{1,3,5}:{(101,1),(102,1),(109,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,3,6}:{(103,1),(105,1),(141,1),(142,1)}
       125:{1,4,7}:{(104,1),(105,1),(141,1),(173,1)}
       126:{1,2,5,7}:{(105,1),(113,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(137,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(138,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(140,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(141,1),(145,1),(147,1),(148,1),(151,1),(164,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(128,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(129,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(121,1),(132,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,6}:{(124,1),(126,1),(132,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(133,1),(155,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(152,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(153,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(154,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(156,1),(160,1),(169,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(145,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(146,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(148,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(162,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(159,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(169,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(166,1)}
       170:{1,3,5}:{(163,1),(164,1),(167,1),(173,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1303 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(98,1),(252,1),(334,1),(353,1),(361,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(44,1),(45,1),(232,1),(248,1),(257,1),(353,1),(366,1),(442,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(129,1),(201,1),(300,1),(402,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(28,1),(68,1),(283,1),(310,1),(408,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(62,1),(302,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(16,1),(39,1),(45,1),(155,1),(246,1),(255,1),(361,1),(367,1),(448,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(13,1),(171,1),(442,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(41,1),(442,1),(454,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(92,1),(448,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(45,1),(257,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(30,1),(57,1),(70,1),(115,1),(121,1),(129,1),(196,1),(203,1),(319,1),(324,1),(416,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(308,1),(414,1)}
        12:{1,2,4,5,6}:{(7,1),(25,1),(26,1),(27,1),(62,1),(63,1),(109,1),(132,1),(188,1),(204,1),(314,1),(322,1),(413,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(27,1),(132,1),(300,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(28,1),(30,1),(310,1)}
        17:{2,3,4,6}:{(9,1),(29,1),(30,1),(31,1),(62,1),(70,1),(214,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(104,1),(151,1),(182,1),(243,1),(273,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(48,1),(80,1),(82,1),(101,1),(151,1),(172,1),(273,1),(277,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(162,1),(171,1),(254,1),(374,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(35,1),(39,1),(45,1),(246,1),(259,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(39,1),(448,1),(454,1)}
        23:{1,3,4,5}:{(15,1),(38,1),(41,1),(454,1),(458,1)}
        24:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(171,1),(238,1),(338,1),(347,1),(360,1)}
        25:{1,2,4,5,7}:{(12,1),(42,1),(43,1),(90,1),(92,1),(147,1),(171,1),(236,1),(256,1),(360,1),(368,1),(448,1)}
        26:{1,3,5,6}:{(12,1),(15,1),(38,1),(43,1),(44,1),(45,1),(257,1),(372,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(39,1),(45,1),(95,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(16,1),(45,1),(46,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(47,1)}
        30:{2,3,4,7}:{(16,1),(17,1),(46,1),(48,1),(92,1),(266,1)}
        31:{1,3,4,6}:{(17,1),(47,1),(48,1),(49,1),(93,1),(101,1),(174,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(73,1),(111,1),(139,1),(203,1),(230,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(112,1),(295,1),(325,1),(480,1),(519,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(54,1),(55,1),(220,1),(329,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(70,1),(124,1),(132,1),(196,1),(206,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(416,1),(420,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(60,1),(67,1),(128,1),(296,1),(308,1),(408,1)}
        38:{1,3,4,6}:{(23,1),(26,1),(61,1),(62,1),(413,1),(419,1)}
        39:{1,4,6}:{(21,1),(22,1),(57,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(28,1),(58,1),(61,1),(64,1),(65,1),(128,1)}
        41:{2,4,5}:{(23,1),(29,1),(62,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(60,1),(67,1),(129,1),(190,1),(287,1),(386,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(61,1),(67,1),(68,1),(310,1),(415,1)}
        44:{2,3,5,6}:{(26,1),(29,1),(62,1),(68,1),(69,1),(70,1),(132,1),(188,1),(214,1)}
        45:{1,3,6}:{(27,1),(28,1),(70,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(70,1),(71,1)}
        47:{1,3,5}:{(29,1),(31,1),(66,1),(72,1)}
        48:{1,3,4,7}:{(30,1),(31,1),(71,1),(73,1),(130,1),(222,1)}
        49:{1,2,4,6}:{(31,1),(72,1),(73,1),(74,1),(139,1),(141,1)}
        50:{1,3,4,5,6}:{(38,1),(75,1),(76,1),(94,1),(144,1),(166,1),(241,1),(268,1),(372,1),(433,1)}
        51:{1,2,5,7}:{(32,1),(34,1),(77,1),(254,1),(280,1)}
        52:{1,2,3,5,6}:{(33,1),(77,1),(79,1),(151,1),(153,1),(182,1),(245,1),(276,1),(280,1),(451,1),(502,1),(505,1)}
        53:{1,2,4,7}:{(33,1),(79,1),(80,1),(345,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(77,1),(82,1),(101,1),(151,1),(175,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(378,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(84,1),(98,1),(162,1),(171,1),(243,1),(254,1),(338,1),(369,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(39,1),(82,1),(87,1)}
        58:{3,4,5,7}:{(36,1),(87,1),(162,1),(455,1),(458,1)}
        59:{2,3,4,5}:{(41,1),(85,1),(89,1),(170,1),(341,1),(458,1)}
        60:{1,4,6,7}:{(37,1),(39,1),(84,1),(90,1),(448,1)}
        61:{1,3,4,7}:{(38,1),(43,1),(92,1),(448,1),(455,1)}
        62:{2,4,6}:{(38,1),(41,1),(44,1),(92,1),(93,1)}
        63:{1,4,5,6}:{(39,1),(86,1),(90,1),(94,1),(259,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(87,1),(94,1),(95,1)}
        65:{2,4,5,7}:{(40,1),(41,1),(46,1),(92,1),(95,1),(96,1),(171,1)}
        66:{1,4,5}:{(41,1),(47,1),(93,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(45,1),(98,1),(428,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(92,1),(98,1),(99,1),(171,1),(236,1),(266,1)}
        69:{1,3,5,6}:{(44,1),(47,1),(93,1),(99,1),(100,1),(101,1),(174,1),(175,1)}
        70:{2,3,6}:{(45,1),(46,1),(95,1),(101,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(48,1),(96,1),(101,1),(102,1)}
        72:{1,2,5}:{(47,1),(49,1)}
        73:{1,2,4,7}:{(48,1),(49,1),(102,1),(104,1)}
        74:{1,2,3,6}:{(49,1),(103,1),(104,1),(174,1)}
        75:{1,3,4,5,7}:{(50,1),(61,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(62,1),(105,1),(108,1),(109,1),(132,1),(188,1),(289,1),(467,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(111,1),(139,1),(206,1)}
        78:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(111,1),(112,1),(113,1),(119,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(113,1),(114,1),(298,1),(328,1),(526,1)}
        80:{1,3,4,7}:{(53,1),(112,1),(114,1),(115,1),(519,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(110,1),(116,1),(136,1),(194,1),(202,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(112,1),(118,1),(119,1),(198,1),(202,1),(294,1)}
        84:{2,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(120,1),(121,1),(416,1)}
        85:{2,3,4,6}:{(59,1),(62,1),(105,1),(122,1),(123,1),(214,1),(289,1),(419,1)}
        86:{2,4,5,6}:{(57,1),(63,1),(117,1),(120,1),(124,1),(132,1),(206,1)}
        87:{3,4,6}:{(57,1),(58,1),(124,1)}
        88:{2,3,4,5,7}:{(58,1),(59,1),(65,1),(119,1),(122,1),(125,1),(126,1),(211,1),(218,1),(303,1),(389,1),(393,1),(416,1),(420,1),(488,1),(528,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(123,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(63,1),(120,1),(128,1),(308,1)}
        91:{1,3,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(121,1),(128,1),(129,1)}
        92:{2,4,7}:{(61,1),(62,1),(68,1),(130,1)}
        93:{1,4,6}:{(62,1),(66,1),(69,1),(130,1)}
        94:{1,3,5,6}:{(63,1),(64,1),(124,1),(128,1),(132,1)}
        95:{2,4,6}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
        96:{1,4,5,7}:{(65,1),(66,1),(71,1),(130,1),(133,1),(220,1)}
        97:{1,2,4,5}:{(66,1),(72,1),(127,1),(131,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(70,1),(129,1),(136,1),(287,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(130,1),(136,1),(137,1),(220,1),(222,1)}
       100:{1,2,5,6}:{(69,1),(72,1),(131,1),(137,1),(139,1),(188,1)}
       101:{1,3,6}:{(70,1),(71,1),(133,1),(139,1)}
       102:{1,2,5,7}:{(71,1),(72,1),(73,1),(139,1)}
       103:{1,2,3,5}:{(72,1),(74,1),(135,1),(141,1)}
       104:{1,2,3,7}:{(73,1),(74,1),(222,1)}
       105:{2,3,5,6}:{(76,1),(85,1),(143,1),(144,1),(372,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(92,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(93,1),(144,1),(147,1),(175,1),(336,1),(494,1)}
       110:{1,2,5,6,7}:{(77,1),(81,1),(149,1),(179,1),(254,1),(272,1),(333,1),(338,1)}
       111:{1,2,4,6}:{(77,1),(78,1),(82,1),(151,1),(159,1)}
       112:{1,3,5,7}:{(78,1),(80,1),(151,1),(152,1),(153,1)}
       113:{1,2,4,5}:{(79,1),(153,1),(249,1),(280,1),(378,1)}
       114:{1,3,4,6}:{(79,1),(80,1),(151,1),(153,1),(154,1),(502,1),(506,1)}
       115:{2,3,4,7}:{(80,1),(152,1),(154,1),(155,1),(345,1),(498,1)}
       116:{1,4,6,7}:{(81,1),(82,1),(84,1),(156,1),(375,1)}
       117:{1,4,5,6}:{(82,1),(86,1),(156,1),(158,1),(175,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(87,1),(151,1),(158,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(152,1),(159,1),(160,1),(249,1),(254,1),(345,1)}
       120:{2,4,5,7}:{(84,1),(86,1),(90,1),(156,1),(162,1),(171,1),(254,1)}
       121:{3,4,6,7}:{(84,1),(87,1),(162,1),(428,1),(455,1)}
       122:{2,3,4,7}:{(85,1),(92,1),(143,1),(164,1),(266,1),(340,1),(455,1)}
       123:{1,3,4,6}:{(85,1),(89,1),(93,1),(144,1),(164,1),(165,1),(174,1),(257,1),(336,1)}
       124:{3,5,6}:{(86,1),(87,1),(162,1)}
       125:{2,3,4,6}:{(87,1),(88,1),(95,1),(159,1),(167,1),(168,1),(270,1),(373,1),(431,1),(513,1),(541,1)}
       126:{1,3,4,5,7}:{(88,1),(89,1),(96,1),(160,1),(164,1),(168,1),(169,1),(177,1),(261,1),(264,1),(355,1),(375,1),(378,1),(427,1),(434,1),(448,1),(454,1),(455,1),(458,1),(540,1)}
       127:{2,4,5}:{(89,1),(165,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(94,1),(162,1),(171,1)}
       129:{2,4,6,7}:{(91,1),(92,1),(95,1),(98,1),(171,1),(172,1)}
       130:{1,4,7}:{(92,1),(93,1),(99,1)}
       131:{1,2,4,6}:{(93,1),(97,1),(100,1),(165,1),(173,1),(174,1)}
       132:{2,5,6}:{(94,1),(95,1),(171,1),(175,1)}
       133:{1,4,6}:{(95,1),(96,1),(101,1),(175,1)}
       134:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(169,1),(173,1),(176,1),(177,1),(183,1),(272,1),(280,1),(375,1),(378,1),(443,1),(497,1),(540,1),(550,1)}
       135:{1,3,5}:{(97,1),(170,1),(174,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(101,1),(172,1),(179,1)}
       137:{1,2,5,7}:{(99,1),(100,1),(173,1),(179,1),(236,1)}
       138:{1,2,3,5,6}:{(100,1),(103,1),(174,1),(180,1),(181,1),(182,1),(237,1),(275,1),(276,1),(280,1),(377,1),(379,1)}
       139:{1,2,6}:{(101,1),(102,1)}
       140:{1,2,3,5,7}:{(102,1),(103,1),(104,1),(177,1),(182,1),(183,1),(280,1),(505,1),(534,1),(550,1)}
       141:{1,2,4}:{(103,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(122,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(123,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(130,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(131,1),(188,1),(191,1),(192,1),(224,1),(229,1),(289,1),(322,1),(328,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,6,7}:{(110,1),(111,1),(116,1),(193,1),(194,1),(203,1),(381,1),(386,1),(460,1)}
       150:{1,2,4,5,6}:{(111,1),(113,1),(117,1),(193,1),(195,1),(206,1),(224,1),(298,1),(313,1),(322,1),(328,1),(411,1),(474,1)}
       151:{1,3,6}:{(111,1),(112,1),(196,1)}
       152:{2,3,5,7}:{(112,1),(115,1),(119,1),(196,1),(197,1),(199,1)}
       153:{1,3,5}:{(113,1),(114,1),(199,1)}
       154:{2,3,4,6}:{(114,1),(115,1),(196,1),(199,1),(200,1),(298,1),(475,1),(479,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(394,1),(470,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(202,1),(220,1)}
       157:{1,3,4,6,7}:{(116,1),(118,1),(121,1),(194,1),(202,1),(203,1),(294,1)}
       158:{1,3,5,6}:{(117,1),(118,1),(124,1),(202,1),(206,1)}
       159:{2,4,6}:{(118,1),(119,1),(196,1),(206,1),(207,1)}
       160:{1,4,5,7}:{(119,1),(197,1),(207,1),(304,1),(308,1),(394,1)}
       161:{1,2,4,5}:{(127,1),(204,1),(209,1),(302,1),(385,1),(398,1)}
       162:{3,5,7}:{(120,1),(121,1),(124,1)}
       163:{2,3,4,6,7}:{(121,1),(122,1),(125,1),(129,1),(186,1),(203,1),(211,1),(212,1),(285,1),(319,1),(380,1),(388,1),(393,1),(416,1),(465,1),(515,1)}
       164:{1,3,4,7}:{(122,1),(123,1),(130,1),(187,1),(213,1),(222,1),(310,1),(384,1)}
       165:{2,4,6}:{(123,1),(127,1),(188,1),(213,1),(214,1)}
       166:{3,4,5,6}:{(124,1),(210,1),(215,1),(419,1),(518,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(132,1),(206,1),(211,1),(215,1),(216,1),(467,1),(518,1),(543,1)}
       168:{1,3,4,6}:{(125,1),(126,1),(133,1),(207,1),(216,1),(217,1),(225,1),(315,1),(328,1),(413,1),(419,1),(464,1),(548,1)}
       169:{2,4,5,7}:{(126,1),(127,1),(213,1),(217,1),(218,1),(318,1),(403,1),(416,1),(420,1),(469,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(214,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(132,1),(220,1)}
       172:{1,4,6,7}:{(129,1),(130,1),(133,1),(136,1),(220,1)}
       173:{1,2,4,7}:{(130,1),(131,1),(137,1),(213,1),(222,1)}
       174:{1,3,6}:{(131,1),(135,1),(214,1),(222,1)}
       175:{1,5,6}:{(132,1),(133,1),(220,1)}
       176:{1,2,4,6}:{(133,1),(134,1),(139,1),(217,1),(224,1),(225,1),(328,1),(548,1),(552,1)}
       177:{1,3,5,7}:{(134,1),(135,1),(218,1),(222,1),(225,1),(226,1),(329,1),(478,1),(519,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,5,7}:{(137,1),(138,1),(222,1),(227,1),(228,1),(288,1),(325,1),(327,1),(330,1)}
       181:{1,2,4,6}:{(138,1),(141,1),(223,1),(228,1),(229,1),(289,1),(328,1)}
       182:{1,2,3,6}:{(139,1),(140,1),(225,1),(230,1),(552,1)}
       183:{1,2,4,7}:{(140,1),(141,1),(226,1),(230,1),(526,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(162,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(164,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(165,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(173,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(174,1),(237,1),(240,1),(241,1),(275,1),(372,1),(377,1)}
       193:{1,2,4,5,7}:{(149,1),(150,1),(156,1),(242,1),(254,1),(272,1),(345,1),(359,1),(368,1),(375,1),(446,1),(497,1)}
       194:{1,3,6,7}:{(149,1),(151,1),(242,1),(243,1),(428,1)}
       195:{1,3,5,6}:{(150,1),(151,1),(153,1),(242,1),(244,1),(245,1),(372,1),(502,1)}
       196:{2,3,6}:{(151,1),(152,1),(159,1),(246,1)}
       197:{1,3,5,7}:{(152,1),(155,1),(160,1),(246,1),(247,1),(250,1)}
       198:{1,3,4,5}:{(153,1),(244,1),(249,1),(378,1),(458,1)}
       199:{2,3,5}:{(153,1),(154,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(246,1),(250,1),(251,1),(351,1),(440,1),(445,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(251,1),(252,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(158,1),(162,1),(254,1)}
       203:{2,4,6,7}:{(157,1),(159,1),(243,1),(254,1),(255,1),(345,1)}
       204:{1,2,4,6}:{(161,1),(165,1),(232,1),(256,1),(257,1),(336,1)}
       205:{1,3,4,5,6}:{(158,1),(166,1),(244,1),(253,1),(258,1),(268,1),(364,1),(372,1),(453,1),(533,1)}
       206:{2,5,6}:{(158,1),(159,1),(254,1),(259,1)}
       207:{1,4,6}:{(159,1),(160,1),(246,1),(259,1)}
       208:{1,2,4,5,7}:{(160,1),(161,1),(169,1),(247,1),(256,1),(260,1),(261,1),(354,1),(356,1),(360,1),(427,1),(435,1),(438,1),(442,1),(448,1),(454,1)}
       209:{1,3,5}:{(161,1),(170,1),(257,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(166,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,3,5,7}:{(162,1),(163,1),(167,1),(171,1),(254,1),(263,1),(264,1),(430,1),(495,1),(532,1)}
       212:{1,3,4,6,7}:{(163,1),(164,1),(168,1),(172,1),(235,1),(255,1),(264,1),(265,1),(273,1),(337,1),(361,1),(375,1),(423,1),(426,1),(428,1),(434,1),(448,1),(455,1),(531,1)}
       213:{2,4,7}:{(164,1),(165,1),(236,1),(266,1)}
       214:{2,3,6}:{(165,1),(170,1),(174,1),(257,1),(266,1)}
       215:{2,4,5,6}:{(166,1),(167,1),(263,1),(268,1),(373,1)}
       216:{1,3,5,6}:{(167,1),(168,1),(175,1),(259,1),(264,1),(268,1),(269,1),(372,1),(494,1),(549,1)}
       217:{2,4,6}:{(168,1),(169,1),(269,1),(270,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(177,1),(261,1),(266,1),(270,1),(271,1),(374,1),(444,1),(498,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(175,1)}
       221:{1,2,4,6,7}:{(172,1),(173,1),(176,1),(179,1),(265,1),(272,1),(273,1),(375,1),(490,1),(497,1),(531,1)}
       222:{1,3,7}:{(173,1),(174,1),(266,1)}
       223:{1,3,4,6}:{(174,1),(178,1),(181,1),(267,1),(274,1),(275,1),(377,1)}
       224:{1,2,5,6}:{(175,1),(176,1),(269,1),(272,1),(276,1),(280,1),(549,1)}
       225:{1,3,6}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,7}:{(177,1),(178,1),(183,1),(271,1),(277,1),(375,1),(506,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(273,1),(278,1),(339,1),(377,1),(534,1)}
       228:{1,2,4,7}:{(180,1),(181,1),(274,1),(340,1),(375,1)}
       229:{1,2,4,5}:{(181,1),(275,1),(280,1),(341,1),(378,1)}
       230:{1,2,4,6}:{(182,1),(183,1),(277,1),(280,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(202,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(204,1),(283,1),(284,1),(398,1),(473,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(211,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(213,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(214,1),(284,1),(288,1),(289,1),(321,1),(418,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(222,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(328,1),(419,1)}
       242:{1,3,5,7}:{(193,1),(194,1),(195,1),(294,1),(295,1),(415,1),(519,1)}
       243:{2,3,6,7}:{(194,1),(196,1),(203,1),(295,1),(296,1),(460,1)}
       244:{1,3,4,6}:{(195,1),(198,1),(294,1),(298,1),(328,1),(419,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(206,1),(295,1),(298,1),(299,1),(411,1),(475,1)}
       246:{1,3,6}:{(196,1),(197,1),(207,1),(300,1)}
       247:{1,2,5,7}:{(197,1),(201,1),(300,1),(305,1)}
       248:{1,2,3,5}:{(209,1),(297,1),(302,1),(398,1)}
       249:{2,4,5}:{(198,1),(199,1),(298,1),(304,1)}
       250:{1,3,5}:{(199,1),(200,1),(304,1),(305,1)}
       251:{1,2,4,6}:{(200,1),(201,1),(300,1),(305,1),(306,1),(405,1)}
       252:{1,2,3,7}:{(201,1),(306,1),(470,1)}
       253:{1,3,4,5,7}:{(202,1),(205,1),(210,1),(281,1),(294,1),(307,1),(317,1),(406,1),(415,1),(482,1),(516,1)}
       254:{2,5,7}:{(202,1),(203,1),(206,1),(308,1)}
       255:{1,4,6,7}:{(203,1),(207,1),(296,1),(308,1),(394,1)}
       256:{1,2,4,7}:{(204,1),(213,1),(283,1),(310,1),(384,1)}
       257:{1,3,6}:{(204,1),(209,1),(214,1),(310,1)}
       258:{2,4,5,6}:{(205,1),(206,1),(298,1),(307,1),(312,1),(313,1),(411,1),(486,1),(543,1)}
       259:{1,5,6}:{(206,1),(207,1),(308,1)}
       260:{1,2,4,6}:{(207,1),(208,1),(217,1),(300,1),(314,1),(315,1),(413,1),(464,1),(473,1)}
       261:{1,3,5,7}:{(208,1),(209,1),(218,1),(310,1),(315,1),(316,1),(404,1),(414,1),(470,1)}
       262:{1,3,4}:{(209,1),(219,1),(302,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(215,1),(285,1),(317,1),(416,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(216,1),(220,1),(308,1),(317,1),(318,1),(415,1),(463,1),(542,1)}
       265:{2,4,6,7}:{(212,1),(213,1),(217,1),(287,1),(318,1),(319,1),(416,1),(460,1),(469,1)}
       266:{2,3,7}:{(213,1),(214,1),(222,1),(310,1)}
       267:{2,3,4,6}:{(214,1),(219,1),(223,1),(289,1),(311,1),(320,1),(321,1),(418,1)}
       268:{1,4,5,6}:{(215,1),(216,1),(317,1),(322,1),(328,1),(413,1)}
       269:{2,5,6}:{(216,1),(217,1),(318,1)}
       270:{2,3,6}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,7}:{(218,1),(219,1),(226,1),(316,1),(324,1),(416,1),(479,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(224,1),(318,1),(325,1),(542,1)}
       273:{1,3,6,7}:{(221,1),(222,1),(225,1),(319,1),(325,1),(519,1)}
       274:{1,3,4,7}:{(222,1),(223,1),(228,1),(320,1),(327,1)}
       275:{1,3,5}:{(223,1),(229,1),(321,1)}
       276:{1,3,5,6}:{(224,1),(225,1),(323,1),(325,1),(328,1),(329,1)}
       277:{1,3,4,6}:{(225,1),(226,1),(230,1),(324,1),(328,1),(329,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(230,1),(326,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,4,5,7}:{(228,1),(229,1),(327,1),(330,1),(331,1),(389,1),(421,1)}
       280:{1,2,5}:{(230,1),(329,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(254,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(256,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(257,1),(335,1),(336,1),(363,1),(450,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(264,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(266,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(377,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(275,1),(341,1),(378,1),(458,1)}
       294:{1,3,4,7}:{(242,1),(244,1),(345,1),(375,1),(455,1)}
       295:{2,3,5,7}:{(242,1),(243,1),(245,1),(254,1),(345,1),(346,1),(446,1),(498,1)}
       296:{1,3,6,7}:{(243,1),(246,1),(255,1),(346,1),(347,1)}
       297:{1,2,3,6}:{(248,1),(257,1),(348,1),(349,1)}
       298:{2,4,6}:{(244,1),(245,1),(249,1),(345,1),(351,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(250,1),(259,1),(346,1),(351,1),(352,1),(440,1)}
       300:{1,2,6}:{(246,1),(247,1)}
       301:{1,2,3,5,7}:{(247,1),(248,1),(252,1),(261,1),(348,1),(353,1),(354,1),(357,1),(438,1),(442,1)}
       302:{1,2,4}:{(248,1),(262,1)}
       303:{2,3,4,5}:{(249,1),(350,1),(355,1),(444,1),(458,1),(512,1)}
       304:{1,4,5}:{(249,1),(250,1),(351,1)}
       305:{1,2,5}:{(250,1),(251,1)}
       306:{1,2,3,6}:{(251,1),(252,1),(357,1),(440,1)}
       307:{2,4,5,7}:{(253,1),(254,1),(258,1),(332,1),(345,1),(358,1),(359,1),(446,1),(508,1),(532,1)}
       308:{1,5,7}:{(254,1),(255,1),(259,1)}
       309:{1,2,4,6,7}:{(255,1),(256,1),(260,1),(265,1),(334,1),(347,1),(360,1),(361,1),(426,1),(435,1),(448,1)}
       310:{1,3,7}:{(256,1),(257,1),(266,1)}
       311:{1,3,4,6}:{(257,1),(262,1),(267,1),(336,1),(349,1),(362,1),(363,1),(450,1)}
       312:{2,3,5,6}:{(258,1),(350,1),(358,1),(364,1),(372,1)}
       313:{1,4,5,6}:{(258,1),(259,1),(351,1),(359,1),(364,1),(511,1),(549,1)}
       314:{1,2,5,6}:{(259,1),(260,1),(269,1),(360,1),(366,1),(442,1),(494,1)}
       315:{1,3,6}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(271,1),(354,1),(367,1),(445,1),(448,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(268,1),(337,1),(368,1),(375,1),(448,1)}
       318:{2,5,7}:{(264,1),(265,1),(269,1)}
       319:{2,3,6,7}:{(265,1),(266,1),(270,1),(273,1),(361,1),(369,1),(428,1),(498,1)}
       320:{2,3,4,7}:{(266,1),(267,1),(274,1),(340,1),(362,1),(371,1)}
       321:{2,3,5}:{(267,1),(275,1),(341,1),(363,1)}
       322:{2,4,5,6}:{(268,1),(269,1),(368,1),(372,1),(373,1)}
       323:{2,3,5,6}:{(269,1),(270,1),(276,1),(366,1),(369,1),(372,1),(373,1),(374,1)}
       324:{2,3,4,6}:{(270,1),(271,1),(277,1),(367,1),(373,1),(374,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(276,1),(369,1),(375,1)}
       326:{1,3,4,6,7}:{(273,1),(274,1),(277,1),(278,1),(370,1),(375,1),(376,1),(377,1),(459,1),(531,1),(535,1),(551,1)}
       327:{1,3,5,7}:{(274,1),(275,1),(279,1),(371,1),(377,1)}
       328:{1,4,6}:{(276,1),(373,1),(375,1),(378,1)}
       329:{1,3,5}:{(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(280,1),(376,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(279,1),(377,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(307,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(308,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(473,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(310,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(318,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(418,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(321,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(327,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,4,7}:{(294,1),(295,1),(298,1),(394,1)}
       346:{1,3,5,7}:{(295,1),(296,1),(299,1),(308,1),(394,1),(395,1),(470,1)}
       347:{1,2,6,7}:{(296,1),(300,1),(395,1),(460,1)}
       348:{1,2,3,7}:{(297,1),(310,1),(397,1)}
       349:{1,2,4,6}:{(297,1),(302,1),(311,1),(397,1),(398,1),(473,1)}
       350:{2,3,4,6}:{(298,1),(303,1),(312,1),(393,1),(399,1),(419,1),(475,1),(486,1)}
       351:{1,4,6}:{(298,1),(299,1),(304,1),(394,1)}
       352:{1,2,5,6}:{(299,1),(300,1),(305,1),(395,1),(400,1),(411,1)}
       353:{1,2,3,6}:{(300,1),(301,1),(315,1),(402,1),(473,1)}
       354:{1,2,4,7}:{(301,1),(302,1),(316,1),(402,1),(405,1)}
       355:{1,3,4,5}:{(303,1),(304,1),(399,1),(403,1),(404,1),(478,1),(530,1)}
       356:{1,2,4,5}:{(304,1),(305,1),(400,1),(403,1),(404,1),(405,1)}
       357:{1,2,3,5}:{(305,1),(306,1),(404,1),(405,1)}
       358:{2,3,5,7}:{(307,1),(312,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,4,5,7}:{(307,1),(308,1),(313,1),(381,1),(394,1),(406,1),(527,1),(542,1)}
       360:{1,2,5,7}:{(308,1),(309,1),(314,1),(318,1),(408,1),(463,1)}
       361:{1,3,6,7}:{(309,1),(310,1),(315,1),(319,1),(408,1),(470,1)}
       362:{1,3,4,7}:{(310,1),(311,1),(320,1),(384,1),(397,1),(410,1)}
       363:{1,3,5}:{(311,1),(321,1),(385,1),(398,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(399,1),(406,1),(411,1)}
       365:{1,2,4,5,6}:{(313,1),(314,1),(322,1),(400,1),(407,1),(411,1),(412,1),(413,1),(477,1),(486,1),(517,1),(522,1),(543,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(323,1),(408,1),(413,1),(414,1)}
       367:{1,3,4,6}:{(315,1),(316,1),(324,1),(402,1),(413,1),(414,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(322,1),(386,1),(415,1),(416,1)}
       369:{2,3,5,7}:{(318,1),(319,1),(323,1),(325,1),(408,1),(415,1),(416,1)}
       370:{2,3,4,6,7}:{(319,1),(320,1),(324,1),(326,1),(388,1),(409,1),(416,1),(417,1),(418,1),(465,1),(489,1),(515,1),(520,1),(546,1)}
       371:{2,3,5,7}:{(320,1),(321,1),(327,1),(389,1),(410,1),(418,1)}
       372:{3,5,6}:{(322,1),(415,1),(419,1)}
       373:{2,4,6}:{(323,1),(328,1),(413,1),(416,1),(419,1),(420,1)}
       374:{2,3,5}:{(324,1),(329,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(328,1),(416,1)}
       376:{1,3,5,7}:{(326,1),(329,1),(330,1),(417,1),(421,1),(422,1),(542,1)}
       377:{1,3,6}:{(327,1),(331,1),(418,1)}
       378:{1,4,5}:{(328,1),(329,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(359,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(360,1),(424,1),(425,1),(501,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(450,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(363,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(369,1),(425,1),(428,1),(429,1),(430,1),(457,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(371,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(377,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(350,1),(358,1),(434,1),(455,1),(498,1),(508,1)}
       394:{1,4,7}:{(345,1),(346,1),(351,1)}
       395:{1,2,5,7}:{(346,1),(347,1),(352,1),(435,1),(446,1)}
       396:{1,2,3,6,7}:{(347,1),(348,1),(353,1),(361,1),(436,1),(437,1),(491,1),(537,1)}
       397:{1,2,4,7}:{(348,1),(349,1),(362,1),(438,1)}
       398:{1,2,5}:{(349,1),(363,1)}
       399:{1,3,4,6}:{(350,1),(351,1),(355,1),(364,1),(434,1),(439,1),(440,1),(502,1),(511,1)}
       400:{1,2,4,6}:{(351,1),(352,1),(356,1),(435,1),(439,1),(440,1)}
       401:{1,2,3,5,6}:{(352,1),(353,1),(357,1),(366,1),(436,1),(440,1),(441,1),(442,1),(452,1),(501,1),(504,1),(537,1)}
       402:{1,2,4,6}:{(353,1),(354,1),(367,1),(442,1)}
       403:{2,4,5}:{(355,1),(439,1),(444,1)}
       404:{1,3,5}:{(356,1),(440,1),(444,1),(445,1)}
       405:{1,2,4}:{(357,1),(445,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(364,1),(423,1),(434,1),(446,1)}
       407:{1,2,4,5,7}:{(359,1),(360,1),(365,1),(368,1),(424,1),(435,1),(446,1),(447,1),(448,1),(493,1),(508,1),(532,1)}
       408:{1,3,5,7}:{(360,1),(361,1),(366,1),(369,1),(448,1)}
       409:{1,3,4,6,7}:{(361,1),(362,1),(367,1),(370,1),(426,1),(437,1),(448,1),(449,1),(450,1),(499,1),(510,1),(537,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(371,1),(427,1),(438,1),(450,1)}
       411:{2,5,6}:{(364,1),(439,1),(446,1)}
       412:{1,3,5,6}:{(365,1),(372,1),(440,1),(447,1),(452,1),(453,1),(504,1),(537,1)}
       413:{1,4,6}:{(366,1),(373,1),(448,1),(454,1)}
       414:{1,3,5}:{(367,1),(374,1),(442,1),(454,1)}
       415:{3,5,7}:{(368,1),(372,1),(428,1),(455,1)}
       416:{2,4,7}:{(369,1),(373,1),(375,1),(448,1),(455,1)}
       417:{2,3,5,7}:{(370,1),(374,1),(376,1),(430,1),(449,1),(456,1),(457,1),(495,1),(532,1)}
       418:{2,3,6}:{(371,1),(377,1),(431,1),(450,1)}
       419:{3,4,6}:{(372,1),(373,1),(455,1),(458,1)}
       420:{2,4,5}:{(373,1),(374,1),(378,1),(454,1),(458,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(378,1),(456,1),(459,1)}
       422:{1,3,5,6}:{(376,1),(377,1),(379,1),(457,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(407,1),(460,1),(461,1),(462,1),(515,1),(522,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(408,1),(461,1),(462,1),(463,1),(484,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(410,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(416,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(418,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,3,4,7}:{(393,1),(394,1),(399,1),(406,1),(469,1),(470,1),(519,1),(527,1)}
       435:{1,2,4,7}:{(394,1),(395,1),(400,1),(469,1),(470,1)}
       436:{1,2,3,5,7}:{(395,1),(396,1),(401,1),(408,1),(470,1),(471,1),(472,1),(481,1),(521,1)}
       437:{1,2,4,6,7}:{(396,1),(397,1),(402,1),(409,1),(471,1),(472,1),(473,1),(515,1),(522,1)}
       438:{1,2,5,7}:{(397,1),(398,1),(410,1),(473,1)}
       439:{2,4,6}:{(399,1),(403,1),(411,1),(469,1),(475,1)}
       440:{1,3,6}:{(400,1),(404,1),(470,1),(475,1)}
       441:{1,2,4,6}:{(401,1),(405,1),(413,1),(471,1),(476,1),(477,1),(486,1)}
       442:{1,2,5}:{(402,1),(414,1)}
       443:{1,2,4,5}:{(403,1),(474,1),(478,1),(526,1),(530,1),(547,1)}
       444:{2,3,5}:{(403,1),(404,1),(475,1),(478,1),(479,1)}
       445:{1,3,4}:{(404,1),(405,1),(479,1)}
       446:{2,5,7}:{(406,1),(411,1),(460,1),(469,1)}
       447:{1,3,5,7}:{(407,1),(412,1),(415,1),(461,1),(470,1),(481,1),(482,1)}
       448:{1,4,7}:{(408,1),(413,1),(416,1)}
       449:{1,3,5,7}:{(409,1),(414,1),(417,1),(463,1),(472,1),(483,1),(484,1)}
       450:{1,3,6}:{(410,1),(418,1),(464,1),(473,1)}
       451:{1,2,5,6}:{(411,1),(474,1),(480,1),(485,1),(547,1),(552,1)}
       452:{2,3,5,6}:{(411,1),(412,1),(475,1),(481,1),(485,1),(486,1),(525,1),(543,1),(546,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(419,1),(482,1),(486,1),(487,1)}
       454:{1,4,5}:{(413,1),(414,1),(420,1)}
       455:{3,4,7}:{(415,1),(416,1),(419,1)}
       456:{2,4,5,7}:{(416,1),(417,1),(420,1),(421,1),(483,1),(488,1),(489,1)}
       457:{2,3,5,6}:{(417,1),(418,1),(422,1),(467,1),(484,1),(489,1),(518,1),(543,1),(546,1)}
       458:{3,4,5}:{(419,1),(420,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(446,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(447,1),(491,1),(537,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(448,1),(493,1),(510,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(450,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{2,4,7}:{(434,1),(439,1),(446,1),(498,1)}
       470:{1,3,7}:{(435,1),(440,1),(498,1)}
       471:{1,2,4,7}:{(436,1),(441,1),(448,1),(499,1),(508,1)}
       472:{1,2,5,7}:{(437,1),(442,1),(449,1),(501,1),(532,1)}
       473:{1,2,6}:{(438,1),(450,1)}
       474:{1,2,4,6}:{(439,1),(443,1),(451,1),(497,1),(502,1),(511,1)}
       475:{2,3,6}:{(439,1),(440,1),(444,1),(498,1),(502,1)}
       476:{1,3,4,6}:{(440,1),(441,1),(445,1),(499,1),(503,1),(504,1),(537,1)}
       477:{1,2,4,5}:{(441,1),(442,1),(454,1),(504,1),(512,1)}
       478:{1,3,5}:{(443,1),(444,1),(502,1),(506,1)}
       479:{2,3,4}:{(444,1),(445,1),(506,1)}
       480:{1,2,5,7}:{(446,1),(451,1),(490,1),(497,1),(507,1)}
       481:{2,3,5,7}:{(446,1),(447,1),(452,1),(491,1),(498,1),(507,1),(508,1),(532,1)}
       482:{1,3,4,7}:{(447,1),(448,1),(453,1),(455,1),(508,1)}
       483:{1,4,5,7}:{(448,1),(449,1),(454,1),(456,1),(510,1)}
       484:{1,3,5,6}:{(449,1),(450,1),(457,1),(494,1),(501,1),(510,1),(537,1)}
       485:{1,3,5,6}:{(451,1),(452,1),(502,1),(507,1),(511,1),(539,1),(549,1),(551,1)}
       486:{2,4,6}:{(452,1),(453,1),(508,1),(511,1),(512,1)}
       487:{1,3,4,5}:{(453,1),(454,1),(458,1),(504,1),(512,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(458,1),(495,1),(513,1)}
       489:{2,4,6}:{(456,1),(457,1),(459,1),(510,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(481,1),(514,1),(515,1),(546,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(482,1),(515,1),(516,1),(529,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,4,7}:{(469,1),(474,1),(480,1),(519,1),(527,1)}
       498:{2,3,7}:{(469,1),(470,1),(475,1),(519,1)}
       499:{1,3,4,7}:{(470,1),(471,1),(476,1),(520,1),(521,1)}
       500:{1,2,4,5,7}:{(471,1),(472,1),(477,1),(483,1),(521,1),(522,1),(528,1)}
       501:{1,2,5,6}:{(472,1),(473,1),(484,1),(522,1),(543,1)}
       502:{1,3,6}:{(474,1),(475,1),(478,1),(519,1)}
       503:{2,3,4,6}:{(475,1),(476,1),(479,1),(486,1),(520,1),(524,1),(525,1),(546,1)}
       504:{1,3,5}:{(476,1),(477,1),(525,1)}
       505:{1,2,3,5}:{(478,1),(523,1),(526,1),(547,1)}
       506:{1,3,4}:{(478,1),(479,1),(526,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(485,1),(514,1),(519,1),(527,1),(542,1)}
       508:{2,4,7}:{(481,1),(482,1),(486,1),(527,1)}
       509:{1,3,4,5,7}:{(482,1),(483,1),(487,1),(488,1),(516,1),(521,1),(528,1),(529,1)}
       510:{1,4,6}:{(483,1),(484,1),(489,1)}
       511:{1,4,6}:{(485,1),(486,1),(527,1),(530,1)}
       512:{2,4,5}:{(486,1),(487,1),(525,1),(530,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(508,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(510,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,3,7}:{(497,1),(498,1),(502,1)}
       520:{2,3,4,7}:{(498,1),(499,1),(503,1),(508,1),(535,1),(536,1)}
       521:{1,3,5,7}:{(499,1),(500,1),(504,1),(536,1),(537,1)}
       522:{1,2,4,6}:{(500,1),(501,1),(510,1),(537,1),(541,1)}
       523:{1,2,3,6}:{(502,1),(505,1),(534,1),(538,1)}
       524:{1,3,4,6}:{(502,1),(503,1),(506,1),(511,1),(535,1),(538,1),(539,1),(551,1)}
       525:{2,3,5}:{(503,1),(504,1),(512,1),(539,1)}
       526:{1,2,4}:{(505,1),(506,1)}
       527:{1,4,7}:{(507,1),(508,1),(511,1)}
       528:{2,4,5,7}:{(508,1),(509,1),(512,1),(532,1),(536,1),(540,1),(541,1)}
       529:{1,3,4,6}:{(509,1),(510,1),(513,1),(533,1),(537,1),(541,1)}
       530:{1,4,5}:{(511,1),(512,1),(539,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(529,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(523,1),(544,1)}
       535:{1,3,4,7}:{(519,1),(520,1),(524,1),(527,1),(544,1),(545,1)}
       536:{2,3,5,7}:{(520,1),(521,1),(525,1),(528,1),(545,1),(546,1)}
       537:{1,3,6}:{(521,1),(522,1),(546,1)}
       538:{1,2,4,6}:{(523,1),(524,1),(526,1),(544,1),(547,1),(552,1)}
       539:{1,3,5}:{(524,1),(525,1),(530,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(530,1),(542,1),(545,1),(548,1)}
       541:{2,4,6}:{(528,1),(529,1),(543,1),(546,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(538,1),(550,1)}
       545:{1,3,5,7}:{(535,1),(536,1),(539,1),(540,1),(550,1),(551,1)}
       546:{2,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5}:{(538,1),(539,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,3,6}:{(545,1),(546,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1304 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(67,1),(149,1),(234,1),(254,1),(259,1),(364,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(102,1),(412,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(311,1),(411,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(146,1),(254,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(259,1),(365,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(452,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(149,1),(346,1),(363,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(104,1),(204,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(311,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(99,1),(119,1),(121,1),(185,1),(200,1),(315,1),(322,1),(412,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(202,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(261,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(254,1),(374,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(256,1),(283,1),(363,1),(387,1),(390,1),(452,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(143,1),(167,1),(169,1),(242,1),(257,1),(366,1),(373,1),(452,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(259,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(412,1),(419,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(185,1),(204,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(206,1),(227,1),(231,1),(318,1),(336,1),(339,1),(418,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(311,1),(421,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(313,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(195,1),(300,1),(405,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(74,1),(81,1),(138,1),(158,1),(163,1),(239,1),(248,1),(251,1),(271,1)}
        41:{1,3,4,5,6}:{(26,1),(65,1),(66,1),(80,1),(136,1),(245,1),(267,1),(269,1),(359,1),(374,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(69,1),(150,1),(238,1),(372,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(519,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(452,1),(459,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(242,1),(261,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(263,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(448,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(365,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(252,1),(355,1),(366,1),(471,1)}
        63:{1,2,4,6}:{(40,1),(43,1),(95,1),(96,1),(97,1),(295,1),(327,1)}
        64:{1,2,3,5,7}:{(40,1),(97,1),(98,1),(122,1),(190,1),(194,1),(213,1),(297,1),(326,1)}
        65:{2,4,5,6}:{(41,1),(46,1),(94,1),(99,1),(100,1),(119,1),(185,1),(295,1),(401,1)}
        66:{1,3,4,5,7}:{(41,1),(48,1),(100,1),(101,1),(120,1),(186,1),(303,1),(323,1),(325,1),(407,1),(421,1)}
        67:{1,2,3,5}:{(93,1),(102,1),(180,1),(198,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(106,1),(110,1),(198,1),(287,1)}
        69:{2,3,4,6}:{(42,1),(46,1),(94,1),(106,1),(108,1),(204,1),(295,1),(419,1)}
        70:{2,3,4,5,7}:{(42,1),(47,1),(107,1),(108,1),(109,1),(131,1),(205,1),(211,1),(230,1),(296,1),(320,1),(404,1),(418,1),(420,1),(476,1),(493,1)}
        71:{1,3,4}:{(43,1),(104,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(105,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(538,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(185,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(537,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(300,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(320,1),(418,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(411,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(254,1)}
        94:{2,3,5,6}:{(65,1),(69,1),(136,1),(137,1),(374,1)}
        95:{1,3,4,6}:{(63,1),(71,1),(135,1),(138,1),(139,1),(158,1),(248,1)}
        96:{1,2,4,5}:{(63,1),(138,1),(163,1),(238,1),(272,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(139,1),(350,1),(377,1)}
        98:{1,2,3,6,7}:{(64,1),(74,1),(142,1),(170,1),(248,1),(270,1),(352,1),(511,1)}
        99:{1,4,5,6}:{(65,1),(75,1),(136,1),(143,1),(166,1),(341,1),(436,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(77,1),(137,1),(143,1),(144,1),(167,1),(242,1),(350,1),(444,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(356,1),(357,1),(448,1)}
       102:{1,2,4}:{(67,1),(146,1)}
       103:{1,2,3,5,7}:{(67,1),(134,1),(148,1),(149,1),(235,1),(255,1),(259,1),(388,1),(389,1),(470,1)}
       104:{2,3,4}:{(71,1),(146,1),(150,1)}
       105:{2,4,5}:{(68,1),(150,1),(152,1)}
       106:{1,3,4,6}:{(68,1),(69,1),(75,1),(136,1),(152,1),(154,1),(158,1),(254,1),(341,1)}
       107:{1,3,4,5,7}:{(68,1),(70,1),(76,1),(153,1),(154,1),(155,1),(159,1),(255,1),(266,1),(272,1),(286,1),(342,1),(365,1),(372,1),(377,1),(452,1),(459,1),(461,1),(507,1),(520,1)}
       108:{2,3,4,7}:{(69,1),(77,1),(137,1),(154,1),(261,1),(350,1),(459,1)}
       109:{2,3,4,6}:{(70,1),(78,1),(155,1),(157,1),(178,1),(262,1),(285,1),(351,1),(371,1),(447,1),(506,1)}
       110:{1,3,5}:{(71,1),(72,1),(150,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(151,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(152,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(153,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(516,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(518,1),(519,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(242,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(355,1),(370,1),(384,1),(386,1),(448,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(372,1),(459,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(452,1)}
       133:{1,2,4,6}:{(93,1),(102,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(311,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(204,1),(295,1),(298,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(106,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(108,1),(186,1),(187,1),(421,1)}
       138:{1,3,5}:{(95,1),(96,1),(183,1)}
       139:{1,3,4,7}:{(95,1),(97,1),(184,1),(190,1),(213,1)}
       140:{1,2,4,5,6}:{(96,1),(99,1),(112,1),(185,1),(189,1),(192,1),(193,1),(217,1),(295,1),(322,1),(327,1),(401,1),(408,1)}
       141:{1,2,4,5,7}:{(96,1),(97,1),(190,1),(193,1),(194,1),(296,1),(307,1)}
       142:{1,2,4,6,7}:{(97,1),(98,1),(114,1),(191,1),(193,1),(194,1),(400,1),(480,1),(532,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(116,1),(186,1),(195,1),(220,1),(391,1),(472,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(300,1)}
       145:{1,3,5,6,7}:{(101,1),(120,1),(196,1),(197,1),(310,1),(407,1)}
       146:{1,3,4}:{(102,1),(104,1),(198,1)}
       147:{1,2,4,5}:{(102,1),(105,1),(180,1),(198,1),(200,1),(287,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(199,1),(202,1),(502,1)}
       149:{1,2,3,6}:{(103,1),(202,1),(292,1),(312,1),(434,1)}
       150:{2,3,5}:{(104,1),(105,1),(110,1),(198,1),(204,1)}
       151:{2,3,4,7}:{(104,1),(111,1),(199,1),(205,1),(206,1),(418,1),(541,1)}
       152:{2,4,6}:{(105,1),(106,1),(185,1),(204,1),(207,1)}
       153:{2,4,5,7}:{(105,1),(107,1),(205,1),(207,1),(208,1),(320,1),(321,1),(418,1),(495,1),(539,1)}
       154:{1,3,4,7}:{(106,1),(108,1),(116,1),(186,1),(207,1),(213,1),(311,1),(391,1)}
       155:{1,3,4,6}:{(107,1),(109,1),(117,1),(208,1),(210,1),(214,1),(312,1),(327,1),(340,1),(392,1),(412,1),(419,1),(530,1)}
       156:{2,3,4,6,7}:{(108,1),(109,1),(118,1),(187,1),(209,1),(211,1),(231,1),(302,1),(318,1),(339,1),(400,1),(418,1),(483,1),(484,1),(493,1),(529,1)}
       157:{2,3,5,6}:{(109,1),(119,1),(210,1),(211,1),(212,1),(223,1),(334,1),(401,1),(482,1),(528,1)}
       158:{1,3,6}:{(110,1),(112,1),(204,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(205,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(206,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(207,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(208,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(538,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(300,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(418,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(146,1),(232,1),(233,1),(254,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(149,1),(236,1),(237,1),(363,1),(441,1),(471,1),(508,1)}
       183:{2,3,5}:{(135,1),(138,1),(232,1),(238,1)}
       184:{2,3,4,7}:{(135,1),(139,1),(233,1),(240,1),(261,1),(350,1)}
       185:{2,5,6}:{(136,1),(152,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(154,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(448,1)}
       188:{1,3,4,5}:{(138,1),(238,1),(245,1),(272,1),(372,1)}
       189:{1,3,5,6}:{(138,1),(140,1),(158,1),(239,1),(245,1),(247,1),(248,1),(374,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,4,6,7}:{(139,1),(142,1),(160,1),(241,1),(248,1),(249,1),(270,1),(361,1),(377,1),(443,1),(509,1),(545,1)}
       192:{1,2,4,5,7}:{(140,1),(143,1),(161,1),(242,1),(247,1),(250,1),(273,1),(350,1),(373,1),(377,1),(444,1),(450,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(251,1),(351,1),(361,1)}
       194:{1,2,5,7}:{(142,1),(163,1),(249,1),(251,1),(444,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(167,1),(252,1),(444,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(356,1),(450,1),(451,1)}
       198:{1,3,5}:{(146,1),(147,1),(150,1),(254,1)}
       199:{1,3,4,7}:{(146,1),(148,1),(151,1),(255,1),(256,1),(452,1),(526,1)}
       200:{1,2,4,6}:{(147,1),(152,1),(234,1),(254,1),(257,1),(341,1)}
       201:{1,2,4,5,7}:{(147,1),(148,1),(153,1),(235,1),(255,1),(257,1),(258,1),(259,1),(286,1),(342,1),(365,1),(366,1),(388,1),(452,1),(467,1),(524,1)}
       202:{1,2,4,6}:{(148,1),(149,1),(256,1),(259,1)}
       203:{1,2,3,5,6}:{(149,1),(237,1),(259,1),(260,1),(347,1),(364,1),(368,1),(441,1),(456,1),(469,1),(470,1),(525,1)}
       204:{2,3,6}:{(150,1),(152,1),(158,1),(254,1),(261,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(153,1),(159,1),(255,1),(261,1),(262,1),(263,1),(522,1),(550,1)}
       206:{2,3,4,6}:{(151,1),(160,1),(256,1),(262,1),(263,1),(371,1)}
       207:{2,4,7}:{(152,1),(154,1),(242,1),(261,1)}
       208:{2,4,6}:{(153,1),(155,1),(262,1),(265,1)}
       209:{1,3,4,6,7}:{(154,1),(155,1),(156,1),(165,1),(243,1),(264,1),(266,1),(270,1),(356,1),(363,1),(377,1),(390,1),(435,1),(448,1),(452,1),(459,1),(513,1),(520,1),(545,1)}
       210:{1,3,5,6}:{(155,1),(157,1),(166,1),(265,1),(266,1),(267,1),(374,1),(385,1),(436,1),(544,1)}
       211:{2,3,5,7}:{(156,1),(157,1),(167,1),(266,1),(268,1),(279,1),(384,1),(444,1),(512,1),(543,1)}
       212:{2,4,5,6}:{(157,1),(267,1),(268,1),(269,1),(371,1)}
       213:{1,3,7}:{(158,1),(161,1),(261,1)}
       214:{1,3,6}:{(159,1),(162,1),(262,1)}
       215:{1,3,5}:{(160,1),(163,1),(263,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(264,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(265,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(355,1),(384,1),(451,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(448,1),(459,1)}
       232:{1,3,5}:{(179,1),(180,1),(183,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(184,1),(289,1),(311,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(200,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(202,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(203,1),(293,1),(294,1),(398,1),(411,1),(489,1),(501,1),(542,1)}
       238:{2,4,5}:{(183,1),(188,1),(287,1),(295,1)}
       239:{2,3,5,6}:{(183,1),(185,1),(189,1),(204,1),(288,1),(295,1),(297,1),(298,1),(401,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(289,1),(296,1),(298,1)}
       241:{2,3,4,6,7}:{(184,1),(191,1),(206,1),(290,1),(298,1),(299,1),(318,1),(399,1),(400,1),(403,1),(418,1),(478,1),(483,1),(529,1)}
       242:{2,5,7}:{(185,1),(186,1),(207,1),(300,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(300,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(211,1),(301,1),(302,1),(310,1),(410,1),(484,1)}
       245:{1,3,4,6}:{(188,1),(189,1),(295,1),(303,1),(327,1),(419,1)}
       246:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(303,1),(304,1),(307,1),(404,1),(407,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(297,1),(303,1),(305,1),(421,1)}
       248:{1,3,6}:{(190,1),(193,1),(298,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(299,1),(306,1),(307,1),(551,1)}
       250:{1,2,4,6,7}:{(192,1),(193,1),(195,1),(300,1),(305,1),(308,1),(400,1),(405,1),(409,1)}
       251:{1,2,5,6}:{(193,1),(194,1),(306,1),(401,1),(532,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(220,1),(472,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(222,1),(302,1),(309,1),(310,1),(405,1),(410,1),(481,1)}
       254:{1,3,6}:{(198,1),(200,1),(204,1),(311,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(201,1),(205,1),(311,1),(312,1),(313,1),(500,1),(542,1)}
       256:{1,3,4,6}:{(199,1),(202,1),(206,1),(312,1),(313,1),(412,1)}
       257:{1,2,4,7}:{(200,1),(207,1),(291,1),(311,1),(391,1)}
       258:{1,2,4,6}:{(201,1),(208,1),(292,1),(312,1),(315,1),(340,1),(392,1),(412,1),(434,1)}
       259:{1,2,5}:{(202,1),(313,1)}
       260:{1,2,4,6}:{(203,1),(294,1),(316,1),(317,1),(412,1),(487,1),(502,1)}
       261:{2,3,7}:{(204,1),(207,1),(213,1),(311,1)}
       262:{2,3,6}:{(205,1),(208,1),(214,1),(312,1)}
       263:{2,3,5}:{(206,1),(215,1),(313,1),(320,1)}
       264:{2,4,6,7}:{(207,1),(208,1),(209,1),(300,1),(318,1),(321,1),(418,1),(533,1),(539,1)}
       265:{2,5,6}:{(208,1),(210,1),(321,1)}
       266:{1,3,5,7}:{(209,1),(210,1),(211,1),(220,1),(321,1),(323,1),(421,1),(432,1),(472,1),(551,1)}
       267:{1,4,5,6}:{(210,1),(212,1),(322,1),(323,1),(327,1),(412,1)}
       268:{2,4,5,7}:{(211,1),(212,1),(302,1),(323,1),(325,1),(418,1)}
       269:{3,4,5,6}:{(212,1),(223,1),(325,1),(419,1),(482,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(318,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(319,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(320,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(321,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(322,1),(327,1),(329,1),(330,1),(334,1),(424,1),(426,1),(497,1),(535,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(405,1),(485,1),(533,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(238,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(239,1),(254,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(240,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(241,1),(256,1),(344,1),(345,1),(349,1),(363,1),(435,1),(438,1),(441,1),(452,1)}
       291:{1,2,5,7}:{(234,1),(242,1),(257,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(259,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(260,1),(349,1),(452,1),(514,1)}
       295:{2,4,6}:{(238,1),(239,1),(245,1),(341,1),(350,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(246,1),(342,1),(350,1),(351,1),(444,1)}
       297:{2,3,5,7}:{(239,1),(242,1),(247,1),(261,1),(343,1),(350,1),(352,1),(444,1)}
       298:{2,3,6}:{(240,1),(248,1),(344,1),(351,1)}
       299:{2,3,5,7}:{(241,1),(249,1),(263,1),(345,1),(353,1),(354,1),(444,1),(512,1),(543,1)}
       300:{2,6,7}:{(242,1),(243,1)}
       301:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(266,1),(355,1),(356,1),(448,1),(451,1),(513,1)}
       302:{2,4,6,7}:{(244,1),(268,1),(356,1),(357,1)}
       303:{1,3,4,7}:{(245,1),(247,1),(350,1),(377,1),(459,1)}
       304:{1,3,4,6}:{(246,1),(248,1),(351,1),(359,1),(361,1),(447,1)}
       305:{1,3,6,7}:{(247,1),(248,1),(250,1),(352,1),(448,1)}
       306:{1,3,5,6}:{(248,1),(249,1),(251,1),(353,1),(361,1),(509,1),(544,1)}
       307:{1,4,5,7}:{(249,1),(272,1),(354,1),(361,1),(377,1)}
       308:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(273,1),(355,1),(360,1),(444,1),(546,1)}
       309:{1,4,5,6,7}:{(252,1),(253,1),(277,1),(356,1),(362,1),(503,1)}
       310:{3,5,6,7}:{(253,1),(279,1),(357,1),(448,1),(512,1)}
       311:{1,3,7}:{(254,1),(257,1),(261,1)}
       312:{1,3,6}:{(255,1),(258,1),(262,1)}
       313:{1,3,5}:{(256,1),(259,1),(263,1),(365,1)}
       314:{1,2,4,6,7}:{(257,1),(258,1),(264,1),(346,1),(363,1),(366,1),(390,1),(435,1),(452,1),(471,1),(524,1)}
       315:{1,2,5,6}:{(258,1),(259,1),(265,1),(364,1),(366,1),(385,1),(436,1)}
       316:{1,2,4,5}:{(259,1),(260,1),(365,1),(368,1),(454,1)}
       317:{1,3,4,6}:{(260,1),(349,1),(368,1),(369,1),(441,1),(525,1),(526,1)}
       318:{2,3,6,7}:{(261,1),(262,1),(264,1),(270,1),(363,1),(370,1),(448,1),(550,1)}
       319:{2,3,5,6}:{(262,1),(263,1),(265,1),(271,1),(364,1),(370,1),(371,1),(374,1)}
       320:{2,4,5}:{(263,1),(272,1),(365,1),(371,1),(372,1)}
       321:{2,5,7}:{(264,1),(265,1),(266,1)}
       322:{2,4,5,6}:{(265,1),(267,1),(371,1),(373,1),(374,1)}
       323:{1,4,5,7}:{(266,1),(267,1),(268,1),(356,1),(373,1),(377,1),(452,1)}
       324:{1,3,4,5,6}:{(267,1),(269,1),(278,1),(374,1),(375,1),(376,1),(378,1),(453,1),(463,1),(504,1)}
       325:{3,4,5,7}:{(268,1),(269,1),(279,1),(357,1),(459,1),(512,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(370,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(371,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(372,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(373,1),(377,1),(380,1),(384,1),(464,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(374,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(448,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(295,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(296,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(297,1),(311,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(298,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(299,1),(313,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(300,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(316,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(317,1),(398,1),(399,1),(542,1)}
       350:{2,4,7}:{(295,1),(297,1),(303,1),(391,1)}
       351:{2,4,6}:{(296,1),(298,1),(304,1),(392,1),(401,1)}
       352:{2,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(393,1),(400,1)}
       353:{2,3,5,6}:{(298,1),(299,1),(306,1),(394,1),(401,1),(403,1),(478,1),(482,1),(528,1)}
       354:{2,4,5,7}:{(299,1),(307,1),(320,1),(395,1),(403,1),(404,1),(418,1)}
       355:{2,5,6,7}:{(300,1),(301,1),(321,1),(405,1),(533,1)}
       356:{1,4,6,7}:{(301,1),(302,1),(323,1),(405,1)}
       357:{3,4,6,7}:{(302,1),(310,1),(325,1)}
       358:{1,3,4,6,7}:{(303,1),(304,1),(305,1),(400,1),(407,1),(409,1),(483,1)}
       359:{1,3,5,6}:{(304,1),(401,1),(407,1),(408,1),(482,1)}
       360:{1,3,5,6,7}:{(305,1),(306,1),(308,1),(326,1),(402,1),(407,1),(409,1),(531,1),(551,1)}
       361:{1,4,6}:{(306,1),(307,1),(403,1)}
       362:{1,3,5,6,7}:{(309,1),(310,1),(333,1),(406,1),(410,1),(527,1)}
       363:{1,3,6,7}:{(311,1),(312,1),(314,1),(318,1),(411,1),(542,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(315,1),(319,1),(411,1),(412,1)}
       365:{1,4,5}:{(313,1),(320,1),(412,1)}
       366:{1,2,5,7}:{(314,1),(315,1),(321,1),(411,1),(432,1),(472,1)}
       367:{1,2,4,5,6}:{(315,1),(316,1),(322,1),(397,1),(412,1),(414,1),(415,1),(424,1),(473,1),(487,1),(497,1),(499,1),(528,1)}
       368:{1,3,5}:{(316,1),(317,1),(416,1)}
       369:{2,3,4,6}:{(317,1),(399,1),(416,1),(417,1),(478,1),(487,1),(540,1),(541,1)}
       370:{2,3,5,7}:{(318,1),(319,1),(321,1),(326,1),(411,1),(418,1),(421,1)}
       371:{2,4,6}:{(319,1),(320,1),(327,1),(412,1),(418,1),(419,1)}
       372:{3,4,5}:{(320,1),(419,1)}
       373:{2,4,5,7}:{(321,1),(322,1),(323,1),(405,1),(418,1),(421,1)}
       374:{3,5,6}:{(322,1),(419,1),(421,1)}
       375:{1,3,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(406,1),(421,1),(423,1),(425,1),(486,1),(496,1),(527,1)}
       376:{2,4,5,6}:{(324,1),(334,1),(422,1),(423,1),(424,1),(426,1),(487,1),(497,1),(528,1)}
       377:{1,4,7}:{(326,1),(327,1),(418,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(419,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(421,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(533,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(350,1)}
       392:{1,4,6}:{(342,1),(344,1),(351,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(352,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(353,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(438,1),(452,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(355,1),(366,1),(437,1),(440,1),(451,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(368,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(369,1),(442,1),(443,1),(514,1),(550,1)}
       400:{2,4,6,7}:{(350,1),(351,1),(352,1),(358,1),(435,1),(444,1)}
       401:{2,5,6}:{(351,1),(359,1),(436,1),(444,1)}
       402:{2,3,5,6,7}:{(352,1),(353,1),(355,1),(360,1),(370,1),(437,1),(444,1),(446,1),(448,1),(508,1),(512,1),(543,1)}
       403:{2,4,6}:{(353,1),(354,1),(361,1),(438,1),(447,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(447,1),(459,1),(512,1)}
       405:{2,4,6,7}:{(355,1),(356,1),(373,1),(448,1)}
       406:{1,3,4,6,7}:{(356,1),(357,1),(362,1),(375,1),(448,1),(449,1),(513,1)}
       407:{1,3,5,7}:{(358,1),(359,1),(444,1),(450,1),(512,1)}
       408:{1,4,5,6}:{(359,1),(361,1),(445,1),(450,1),(544,1)}
       409:{1,4,6,7}:{(360,1),(361,1),(377,1),(446,1),(450,1)}
       410:{2,5,6,7}:{(362,1),(384,1),(449,1),(451,1),(543,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(366,1),(370,1),(452,1)}
       412:{1,4,6}:{(364,1),(365,1),(371,1),(452,1)}
       413:{1,3,4,5}:{(365,1),(368,1),(372,1),(453,1),(454,1)}
       414:{1,2,4,5,7}:{(366,1),(367,1),(373,1),(440,1),(452,1),(455,1),(464,1),(503,1),(514,1),(523,1),(524,1),(543,1)}
       415:{1,3,5,6}:{(367,1),(368,1),(374,1),(441,1),(453,1),(455,1),(456,1),(525,1)}
       416:{2,3,5}:{(368,1),(369,1),(454,1),(457,1)}
       417:{1,3,4,6}:{(369,1),(443,1),(457,1),(458,1),(509,1),(515,1),(548,1),(549,1)}
       418:{2,4,7}:{(370,1),(371,1),(377,1),(452,1),(459,1)}
       419:{3,4,6}:{(371,1),(372,1),(374,1),(459,1)}
       420:{2,3,4,5}:{(372,1),(379,1),(454,1),(460,1),(461,1),(522,1)}
       421:{3,5,7}:{(373,1),(374,1),(448,1),(459,1)}
       422:{2,3,5,6}:{(374,1),(376,1),(460,1),(462,1),(463,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(384,1),(449,1),(462,1),(464,1),(465,1),(514,1),(523,1),(543,1)}
       424:{1,4,5,6}:{(376,1),(385,1),(463,1),(464,1),(466,1),(515,1),(544,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(459,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(400,1),(472,1)}
       436:{1,5,6}:{(392,1),(401,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(402,1),(411,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(403,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(404,1),(413,1),(475,1),(476,1),(486,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(405,1),(414,1),(474,1),(477,1),(485,1),(529,1),(533,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(416,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(417,1),(479,1),(480,1),(534,1),(552,1)}
       444:{2,5,7}:{(400,1),(401,1),(407,1),(472,1)}
       445:{2,4,5,6}:{(401,1),(403,1),(408,1),(473,1),(481,1),(482,1),(528,1)}
       446:{2,4,6,7}:{(402,1),(403,1),(409,1),(418,1),(474,1),(481,1),(483,1)}
       447:{3,4,6}:{(403,1),(404,1),(482,1)}
       448:{3,6,7}:{(405,1),(421,1)}
       449:{2,4,6,7}:{(406,1),(410,1),(423,1),(484,1),(485,1),(533,1)}
       450:{1,4,5,7}:{(407,1),(408,1),(409,1),(481,1),(551,1)}
       451:{1,5,6,7}:{(410,1),(432,1),(485,1),(551,1)}
       452:{1,4,7}:{(411,1),(412,1),(418,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(415,1),(419,1),(486,1),(487,1)}
       454:{2,4,5}:{(413,1),(416,1),(487,1),(488,1)}
       455:{1,3,5,7}:{(414,1),(415,1),(421,1),(477,1),(486,1),(489,1),(542,1)}
       456:{2,3,5,6}:{(415,1),(416,1),(478,1),(487,1),(489,1),(490,1),(497,1),(528,1),(540,1)}
       457:{1,3,5}:{(416,1),(417,1),(488,1),(491,1)}
       458:{1,2,4,6}:{(417,1),(480,1),(491,1),(492,1),(532,1),(538,1)}
       459:{3,4,7}:{(418,1),(419,1),(421,1)}
       460:{2,3,4,6}:{(419,1),(420,1),(422,1),(426,1),(487,1),(493,1),(494,1),(540,1)}
       461:{1,3,4,5}:{(420,1),(427,1),(488,1),(494,1),(495,1),(500,1),(536,1)}
       462:{2,3,5,7}:{(421,1),(422,1),(423,1),(484,1),(493,1),(496,1)}
       463:{1,3,5,6}:{(422,1),(424,1),(494,1),(496,1),(497,1)}
       464:{1,4,5,7}:{(423,1),(424,1),(432,1),(485,1),(496,1),(498,1),(534,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(533,1)}
       472:{1,5,7}:{(435,1),(436,1),(444,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(445,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(446,1),(452,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(447,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(454,1),(506,1),(507,1),(514,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(448,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(457,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(458,1),(510,1),(511,1)}
       481:{2,4,5,7}:{(444,1),(445,1),(446,1),(450,1),(503,1),(512,1),(543,1)}
       482:{3,5,6}:{(445,1),(447,1),(512,1)}
       483:{3,4,6,7}:{(446,1),(447,1),(448,1),(459,1),(512,1)}
       484:{2,3,6,7}:{(448,1),(449,1),(462,1),(513,1)}
       485:{1,4,6,7}:{(449,1),(451,1),(464,1),(513,1)}
       486:{1,3,4,7}:{(452,1),(453,1),(455,1),(459,1),(514,1)}
       487:{2,4,6}:{(453,1),(454,1),(456,1),(514,1),(515,1)}
       488:{1,4,5}:{(454,1),(457,1),(515,1)}
       489:{2,3,5,7}:{(455,1),(456,1),(508,1),(514,1),(517,1),(523,1),(543,1),(550,1)}
       490:{1,3,5,6}:{(456,1),(457,1),(509,1),(515,1),(517,1),(518,1),(544,1),(548,1)}
       491:{1,2,5}:{(457,1),(458,1)}
       492:{1,2,3,6}:{(458,1),(511,1),(519,1),(548,1)}
       493:{2,3,4,7}:{(459,1),(460,1),(462,1),(465,1),(514,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(460,1),(461,1),(463,1),(466,1),(515,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(461,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(464,1),(513,1),(520,1),(523,1)}
       497:{2,5,6}:{(463,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(481,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(482,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(483,1),(486,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(488,1),(530,1),(534,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(489,1),(529,1),(531,1),(533,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(491,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(492,1),(552,1)}
       512:{3,5,7}:{(481,1),(482,1),(483,1)}
       513:{1,3,6,7}:{(484,1),(485,1),(496,1),(533,1)}
       514:{2,4,7}:{(486,1),(487,1),(489,1),(534,1)}
       515:{1,4,6}:{(487,1),(488,1),(490,1),(534,1)}
       516:{1,2,4,5}:{(488,1),(491,1),(495,1),(535,1),(536,1),(538,1)}
       517:{1,3,5,7}:{(489,1),(490,1),(531,1),(534,1),(537,1),(551,1),(552,1)}
       518:{1,2,5,6}:{(490,1),(491,1),(497,1),(532,1),(535,1),(537,1)}
       519:{1,2,3,5}:{(491,1),(492,1),(536,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(534,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(536,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(533,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(512,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(514,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(517,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{2,6,7}:{(513,1),(523,1)}
       534:{1,4,7}:{(514,1),(515,1),(517,1)}
       535:{1,2,4,6}:{(515,1),(516,1),(518,1),(521,1),(547,1),(548,1)}
       536:{1,3,5}:{(516,1),(522,1),(548,1),(549,1)}
       537:{1,2,5,7}:{(517,1),(518,1),(523,1),(546,1),(547,1)}
       538:{1,2,4}:{(519,1),(549,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(534,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(533,1),(537,1)}
       547:{1,2,4,7}:{(534,1),(535,1),(537,1),(539,1),(552,1)}
       548:{1,3,6}:{(535,1),(536,1),(540,1),(552,1)}
       549:{1,3,4}:{(536,1),(538,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1305 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(64,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(77,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(79,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(81,1),(89,1),(106,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(79,1),(104,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(106,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(61,1)}
        47:{2,5,6}:{(33,1),(34,1),(61,1),(64,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(62,1),(64,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(63,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(62,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(64,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,5,6}:{(46,1),(47,1),(77,1)}
        62:{1,4,6,7}:{(46,1),(48,1),(56,1),(77,1),(88,1)}
        63:{2,4,5,6}:{(47,1),(49,1),(58,1),(76,1),(79,1),(80,1),(104,1)}
        64:{2,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        65:{1,3,5,6,7}:{(50,1),(78,1),(81,1),(106,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(80,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(104,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(77,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(79,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{1,4,5,6}:{(61,1),(63,1),(72,1),(91,1),(92,1)}
        77:{1,5,7}:{(61,1),(62,1),(64,1)}
        78:{2,5,6,7}:{(64,1),(65,1),(90,1),(93,1)}
        79:{3,5,6}:{(63,1),(74,1),(94,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(75,1),(92,1),(93,1),(94,1),(115,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(91,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(77,1),(78,1),(103,1)}
        91:{1,3,5,6}:{(76,1),(79,1),(87,1),(104,1),(105,1)}
        92:{1,4,5,7}:{(76,1),(77,1),(80,1),(88,1),(103,1),(105,1)}
        93:{2,4,6,7}:{(78,1),(80,1),(81,1),(103,1),(106,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(106,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(104,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(105,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(92,1),(93,1),(113,1)}
       104:{2,5,6}:{(91,1),(101,1),(114,1),(115,1)}
       105:{1,3,5,7}:{(91,1),(92,1),(94,1),(102,1),(113,1),(115,1)}
       106:{3,6,7}:{(93,1),(94,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(105,1),(106,1),(120,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,5,7}:{(104,1),(105,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1306 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1307 :   0:{1,2,3,6,7}:{(1,1),(2,1),(36,1),(82,1),(211,1),(309,1),(319,1),(426,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(21,1),(105,1),(165,1),(259,1),(360,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(22,1),(112,1),(368,1),(382,1),(392,1)}
         3:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(12,1),(30,1),(36,1),(125,1),(209,1),(217,1),(319,1),(320,1),(417,1)}
         4:{1,2,3,5,6}:{(2,1),(9,1),(10,1),(33,1),(36,1),(79,1),(309,1),(318,1),(332,1),(340,1),(342,1),(408,1)}
         5:{1,2,5,7}:{(1,1),(8,1),(10,1),(141,1),(408,1)}
         6:{1,2,4,7}:{(2,1),(9,1),(12,1),(148,1),(417,1)}
         7:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(23,1),(45,1),(57,1),(91,1),(98,1),(105,1),(163,1),(170,1),(277,1),(278,1),(376,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(266,1),(371,1)}
         9:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1),(110,1),(369,1),(391,1)}
        10:{1,2,5,6}:{(5,1),(16,1),(21,1),(104,1),(259,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(18,1),(21,1),(22,1),(50,1)}
        12:{1,3,4,7}:{(6,1),(19,1),(22,1),(23,1),(392,1)}
        13:{1,2,3,6,7}:{(24,1),(25,1),(85,1),(123,1),(155,1),(208,1),(237,1),(489,1)}
        14:{1,3,4,6,7}:{(7,1),(24,1),(26,1),(38,1),(63,1),(65,1),(83,1),(123,1),(143,1),(237,1),(238,1),(337,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(133,1),(141,1),(215,1),(328,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(27,1),(30,1),(36,1),(209,1),(216,1)}
        17:{1,4,5,7}:{(8,1),(28,1),(30,1),(417,1),(418,1)}
        18:{1,2,4,5}:{(9,1),(33,1),(77,1),(408,1),(418,1)}
        19:{1,3,4,6}:{(9,1),(12,1),(33,1),(34,1),(36,1),(342,1),(343,1)}
        20:{1,2,5,6,7}:{(10,1),(29,1),(35,1),(141,1),(230,1),(308,1),(317,1),(322,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(30,1),(36,1),(74,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(33,1),(36,1),(37,1)}
        23:{2,3,4,7}:{(12,1),(34,1),(37,1),(38,1),(148,1),(344,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(40,1),(41,1),(59,1),(89,1),(117,1),(170,1),(201,1)}
        25:{1,2,3,5,7}:{(13,1),(39,1),(40,1),(41,1),(90,1),(254,1),(286,1),(455,1),(511,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(40,1),(42,1),(43,1),(186,1),(289,1)}
        27:{2,3,5,6}:{(15,1),(16,1),(42,1),(45,1),(57,1),(97,1),(104,1),(163,1),(169,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(43,1),(45,1),(46,1),(376,1),(377,1)}
        29:{1,3,5,6,7}:{(16,1),(20,1),(44,1),(48,1),(56,1),(103,1),(258,1),(266,1),(368,1)}
        30:{1,4,6}:{(16,1),(17,1),(45,1)}
        31:{1,3,4,5,7}:{(17,1),(22,1),(46,1),(49,1),(50,1),(51,1),(103,1),(109,1)}
        32:{1,2,4,5,6}:{(18,1),(21,1),(47,1),(52,1),(53,1),(104,1),(110,1),(185,1),(267,1),(274,1),(283,1),(290,1),(369,1)}
        33:{1,3,5}:{(18,1),(19,1),(54,1)}
        34:{2,3,4,6}:{(19,1),(23,1),(54,1),(55,1),(57,1),(110,1),(293,1),(294,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(48,1),(52,1),(56,1),(105,1),(280,1),(372,1),(379,1)}
        36:{1,3,6}:{(21,1),(22,1),(57,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(57,1),(58,1)}
        38:{1,3,4,7}:{(23,1),(55,1),(58,1),(59,1),(194,1),(295,1)}
        39:{1,2,3,5,6}:{(25,1),(60,1),(61,1),(120,1),(123,1),(155,1),(205,1),(236,1),(249,1),(412,1),(479,1),(481,1)}
        40:{1,2,5,7}:{(24,1),(26,1),(61,1),(215,1),(249,1)}
        41:{1,2,4,7}:{(25,1),(60,1),(63,1),(302,1),(337,1)}
        42:{1,3,5,6}:{(26,1),(27,1),(61,1),(65,1),(83,1),(123,1),(142,1)}
        43:{1,4,5,7}:{(26,1),(28,1),(65,1),(337,1),(338,1)}
        44:{2,3,5,6,7}:{(27,1),(29,1),(64,1),(68,1),(82,1),(133,1),(141,1),(208,1),(215,1),(322,1),(325,1),(420,1)}
        45:{2,4,6}:{(27,1),(28,1),(30,1),(65,1),(69,1)}
        46:{3,4,5,7}:{(28,1),(69,1),(133,1),(422,1),(423,1)}
        47:{1,4,5,6}:{(30,1),(67,1),(71,1),(72,1),(216,1)}
        48:{1,4,6,7}:{(29,1),(30,1),(68,1),(71,1),(417,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(36,1),(69,1),(72,1),(74,1)}
        50:{2,4,5,7}:{(31,1),(37,1),(74,1),(75,1),(77,1),(141,1),(148,1)}
        51:{1,3,4,5}:{(33,1),(76,1),(77,1),(418,1),(423,1)}
        52:{1,2,4,5,7}:{(32,1),(35,1),(71,1),(78,1),(141,1),(148,1),(233,1),(317,1),(323,1),(333,1),(341,1),(417,1)}
        53:{1,3,5,6}:{(32,1),(33,1),(36,1),(76,1),(78,1),(79,1),(324,1),(342,1)}
        54:{2,3,5}:{(33,1),(34,1),(77,1),(80,1)}
        55:{1,3,4,6}:{(34,1),(38,1),(80,1),(81,1),(83,1),(149,1),(244,1),(245,1)}
        56:{1,3,6,7}:{(35,1),(36,1),(78,1),(82,1),(420,1)}
        57:{2,3,6}:{(36,1),(37,1),(74,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(38,1),(75,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,7}:{(38,1),(81,1),(84,1),(85,1)}
        60:{1,2,4,6}:{(39,1),(41,1),(86,1),(87,1),(252,1),(287,1),(510,1)}
        61:{1,2,5,6}:{(40,1),(42,1),(89,1),(117,1),(169,1)}
        62:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(86,1),(89,1),(90,1),(95,1)}
        63:{1,3,4,7}:{(41,1),(87,1),(90,1),(91,1),(511,1)}
        64:{1,3,5,6,7}:{(42,1),(44,1),(88,1),(93,1),(116,1),(162,1),(168,1),(186,1),(286,1)}
        65:{1,4,6}:{(42,1),(43,1),(45,1)}
        66:{1,3,4,5,7}:{(43,1),(46,1),(90,1),(94,1),(95,1),(157,1),(168,1),(251,1)}
        67:{2,4,5,6}:{(45,1),(47,1),(92,1),(96,1),(97,1),(104,1),(169,1)}
        68:{2,4,6,7}:{(44,1),(45,1),(48,1),(93,1),(96,1),(98,1),(376,1)}
        69:{3,4,6}:{(45,1),(46,1),(97,1)}
        70:{2,3,4,5,7}:{(46,1),(50,1),(95,1),(99,1),(100,1),(108,1),(176,1),(180,1),(191,1),(250,1),(350,1),(376,1),(377,1),(465,1),(473,1),(523,1)}
        71:{1,4,5,7}:{(47,1),(48,1),(96,1),(103,1),(266,1)}
        72:{1,3,5,6}:{(47,1),(49,1),(97,1),(103,1),(104,1)}
        73:{1,3,4,6,7}:{(48,1),(49,1),(56,1),(98,1),(103,1),(105,1),(109,1)}
        74:{2,4,6}:{(49,1),(50,1),(57,1),(104,1),(106,1)}
        75:{1,4,5,7}:{(50,1),(58,1),(106,1),(111,1),(186,1),(194,1)}
        76:{1,3,4,6}:{(51,1),(53,1),(109,1),(110,1),(369,1),(375,1)}
        77:{2,4,5}:{(51,1),(54,1),(110,1),(111,1)}
        78:{1,3,5,7}:{(52,1),(53,1),(56,1),(109,1),(112,1),(374,1),(392,1)}
        79:{2,3,5,6}:{(53,1),(54,1),(57,1),(104,1),(110,1),(112,1),(113,1),(283,1),(293,1)}
        80:{1,3,5}:{(54,1),(55,1),(111,1),(114,1)}
        81:{1,2,4,6}:{(55,1),(59,1),(114,1),(115,1),(117,1),(199,1)}
        82:{2,3,6,7}:{(56,1),(57,1),(105,1),(112,1),(116,1),(379,1)}
        83:{1,3,6}:{(57,1),(58,1),(106,1),(117,1)}
        84:{1,2,5,7}:{(58,1),(59,1),(114,1),(117,1)}
        85:{1,2,3,7}:{(59,1),(115,1),(295,1)}
        86:{1,2,4,5}:{(60,1),(120,1),(203,1),(249,1),(338,1)}
        87:{1,3,4,6}:{(60,1),(63,1),(120,1),(121,1),(123,1),(481,1),(482,1)}
        88:{1,2,5,6,7}:{(61,1),(64,1),(122,1),(154,1),(215,1),(235,1),(312,1),(322,1)}
        89:{1,2,4,6}:{(61,1),(62,1),(65,1),(123,1),(129,1)}
        90:{1,3,5,7}:{(62,1),(63,1),(120,1),(123,1),(124,1)}
        91:{2,3,4,7}:{(63,1),(121,1),(124,1),(125,1),(302,1),(483,1)}
        92:{1,4,5,6}:{(65,1),(67,1),(126,1),(127,1),(142,1)}
        93:{1,4,6,7}:{(64,1),(65,1),(68,1),(126,1),(337,1)}
        94:{1,3,4,6}:{(65,1),(66,1),(69,1),(123,1),(127,1),(129,1)}
        95:{2,4,5,7}:{(66,1),(124,1),(129,1),(130,1),(203,1),(215,1),(302,1)}
        96:{2,4,5,7}:{(67,1),(68,1),(71,1),(126,1),(133,1),(141,1),(215,1)}
        97:{3,5,6}:{(67,1),(69,1),(133,1)}
        98:{3,4,6,7}:{(68,1),(69,1),(133,1),(420,1),(422,1)}
        99:{2,3,4,6}:{(69,1),(70,1),(74,1),(129,1),(134,1),(136,1),(227,1),(326,1),(501,1),(506,1),(540,1)}
       100:{1,3,4,5,7}:{(70,1),(75,1),(130,1),(136,1),(137,1),(145,1),(147,1),(219,1),(224,1),(240,1),(301,1),(337,1),(338,1),(399,1),(417,1),(418,1),(422,1),(423,1),(505,1),(539,1)}
       101:{1,4,5,6,7}:{(71,1),(131,1),(138,1),(312,1),(321,1),(429,1)}
       102:{1,3,4,5,6}:{(72,1),(76,1),(132,1),(139,1),(140,1),(223,1),(232,1),(324,1),(336,1),(504,1)}
       103:{1,3,5,7}:{(71,1),(72,1),(73,1),(133,1),(141,1)}
       104:{2,5,6}:{(72,1),(74,1),(141,1),(142,1)}
       105:{2,4,6,7}:{(73,1),(74,1),(82,1),(141,1),(143,1),(148,1)}
       106:{1,4,6}:{(74,1),(75,1),(83,1),(142,1)}
       107:{1,2,4,5,7}:{(75,1),(84,1),(137,1),(144,1),(145,1),(150,1),(156,1),(235,1),(243,1),(249,1),(337,1),(338,1),(398,1),(480,1),(539,1),(549,1)}
       108:{2,3,4,5}:{(77,1),(146,1),(147,1),(242,1),(423,1),(433,1)}
       109:{1,3,4,7}:{(76,1),(78,1),(148,1),(417,1),(422,1)}
       110:{2,4,6}:{(76,1),(77,1),(79,1),(148,1),(149,1)}
       111:{1,4,5}:{(77,1),(80,1),(149,1)}
       112:{2,3,5,7}:{(78,1),(79,1),(82,1),(141,1),(148,1),(151,1),(333,1),(344,1)}
       113:{1,3,5,6}:{(79,1),(80,1),(83,1),(142,1),(149,1),(151,1),(152,1),(244,1)}
       114:{1,2,5}:{(80,1),(81,1)}
       115:{1,2,3,6}:{(81,1),(85,1),(153,1),(244,1)}
       116:{1,3,6,7}:{(82,1),(83,1),(143,1),(151,1),(154,1)}
       117:{1,2,6}:{(83,1),(84,1)}
       118:{1,2,3,5,7}:{(84,1),(85,1),(145,1),(153,1),(155,1),(156,1),(249,1),(479,1),(530,1),(549,1)}
       119:{1,2,4,5,6}:{(86,1),(89,1),(92,1),(158,1),(159,1),(169,1),(187,1),(252,1),(265,1),(274,1),(287,1),(365,1),(442,1)}
       120:{1,3,5}:{(86,1),(87,1),(160,1)}
       121:{2,3,4,6}:{(87,1),(91,1),(160,1),(161,1),(163,1),(252,1),(445,1),(446,1)}
       122:{1,2,4,6,7}:{(88,1),(89,1),(93,1),(158,1),(162,1),(170,1),(362,1),(372,1),(452,1)}
       123:{1,3,6}:{(89,1),(90,1),(163,1)}
       124:{2,3,5,7}:{(90,1),(91,1),(95,1),(160,1),(163,1),(164,1)}
       125:{1,3,4,7}:{(91,1),(161,1),(164,1),(165,1),(353,1),(447,1)}
       126:{1,4,5,7}:{(92,1),(93,1),(96,1),(168,1),(186,1)}
       127:{1,3,5,6}:{(92,1),(94,1),(97,1),(168,1),(169,1)}
       128:{1,3,4,6,7}:{(93,1),(94,1),(98,1),(162,1),(168,1),(170,1),(251,1)}
       129:{2,4,6}:{(94,1),(95,1),(163,1),(169,1),(171,1)}
       130:{1,4,5,7}:{(95,1),(164,1),(171,1),(253,1),(266,1),(353,1)}
       131:{2,4,5,6,7}:{(96,1),(101,1),(166,1),(173,1),(182,1),(262,1),(271,1),(372,1),(464,1)}
       132:{3,4,5,6}:{(97,1),(174,1),(175,1),(375,1),(525,1)}
       133:{3,5,7}:{(96,1),(97,1),(98,1)}
       134:{2,3,5,6}:{(97,1),(99,1),(104,1),(169,1),(175,1),(176,1),(177,1),(525,1),(527,1),(547,1)}
       135:{2,3,4,6,7}:{(98,1),(99,1),(105,1),(170,1),(176,1),(178,1),(191,1),(271,1),(277,1),(279,1),(350,1),(361,1),(376,1),(463,1),(468,1),(518,1)}
       136:{1,3,4,6}:{(99,1),(100,1),(106,1),(171,1),(177,1),(179,1),(189,1),(269,1),(287,1),(369,1),(375,1),(528,1),(548,1)}
       137:{2,4,5,7}:{(100,1),(179,1),(180,1),(193,1),(275,1),(292,1),(352,1),(376,1),(377,1),(444,1)}
       138:{1,3,5,6,7}:{(101,1),(103,1),(173,1),(181,1),(182,1),(469,1)}
       139:{1,3,4,5,7}:{(102,1),(103,1),(109,1),(174,1),(181,1),(184,1),(273,1),(282,1),(374,1),(386,1),(469,1)}
       140:{2,4,5,6}:{(102,1),(104,1),(110,1),(183,1),(184,1),(185,1),(283,1),(385,1),(527,1)}
       141:{2,5,7}:{(103,1),(104,1),(105,1),(186,1)}
       142:{1,5,6}:{(104,1),(106,1),(186,1)}
       143:{1,4,6,7}:{(105,1),(106,1),(116,1),(186,1),(194,1)}
       144:{1,2,4,6}:{(106,1),(107,1),(117,1),(179,1),(187,1),(189,1),(287,1),(548,1),(552,1)}
       145:{1,3,5,7}:{(107,1),(180,1),(189,1),(190,1),(196,1),(289,1),(295,1),(443,1),(511,1)}
       146:{2,3,4,6}:{(108,1),(110,1),(183,1),(191,1),(192,1),(293,1),(375,1),(385,1)}
       147:{1,3,4,5}:{(108,1),(111,1),(192,1),(193,1),(196,1),(291,1),(472,1)}
       148:{2,4,7}:{(109,1),(110,1),(112,1),(194,1)}
       149:{1,4,6}:{(110,1),(111,1),(113,1),(194,1)}
       150:{1,2,4,5}:{(111,1),(114,1),(193,1),(195,1),(196,1),(199,1)}
       151:{1,3,5,7}:{(112,1),(113,1),(116,1),(186,1),(194,1),(197,1),(295,1)}
       152:{1,2,5,6}:{(113,1),(114,1),(117,1),(195,1),(197,1),(283,1)}
       153:{1,2,3,5}:{(114,1),(115,1),(196,1),(199,1)}
       154:{1,2,6,7}:{(116,1),(117,1),(197,1),(379,1)}
       155:{1,2,3,6}:{(117,1),(118,1),(189,1),(201,1),(552,1)}
       156:{1,2,4,7}:{(118,1),(190,1),(199,1),(201,1),(510,1)}
       157:{1,3,4,5}:{(120,1),(202,1),(203,1),(338,1),(423,1)}
       158:{1,2,4,5,7}:{(119,1),(122,1),(126,1),(204,1),(215,1),(235,1),(302,1),(315,1),(323,1),(337,1),(413,1),(480,1)}
       159:{1,3,5,6}:{(119,1),(120,1),(123,1),(202,1),(204,1),(205,1),(324,1),(481,1)}
       160:{2,3,5}:{(120,1),(121,1),(203,1),(206,1)}
       161:{1,3,4,6}:{(121,1),(125,1),(206,1),(207,1),(209,1),(303,1),(403,1),(404,1)}
       162:{1,3,6,7}:{(122,1),(123,1),(204,1),(208,1),(420,1)}
       163:{2,3,6}:{(123,1),(124,1),(129,1),(209,1)}
       164:{1,3,5,7}:{(124,1),(125,1),(130,1),(206,1),(209,1),(210,1)}
       165:{1,2,4,7}:{(125,1),(207,1),(210,1),(211,1)}
       166:{1,4,5,6,7}:{(126,1),(131,1),(212,1),(230,1),(321,1),(492,1)}
       167:{1,3,4,5,6}:{(127,1),(132,1),(202,1),(213,1),(214,1),(223,1),(314,1),(324,1),(416,1),(538,1)}
       168:{1,3,5,7}:{(126,1),(127,1),(128,1),(133,1),(215,1)}
       169:{2,5,6}:{(127,1),(129,1),(215,1),(216,1)}
       170:{2,4,6,7}:{(128,1),(129,1),(208,1),(215,1),(217,1),(302,1)}
       171:{1,4,6}:{(129,1),(130,1),(209,1),(216,1)}
       172:{1,2,4,5,7}:{(130,1),(137,1),(210,1),(218,1),(219,1),(239,1),(304,1),(310,1),(317,1),(341,1),(402,1),(408,1),(417,1),(418,1),(505,1),(507,1)}
       173:{3,5,6,7}:{(131,1),(133,1),(220,1),(420,1),(499,1)}
       174:{3,4,5,7}:{(132,1),(133,1),(220,1),(222,1),(422,1),(499,1)}
       175:{2,4,5,6}:{(132,1),(134,1),(222,1),(223,1),(326,1)}
       176:{2,3,5,7}:{(133,1),(134,1),(135,1),(141,1),(215,1),(222,1),(224,1),(499,1),(503,1),(537,1)}
       177:{1,3,5,6}:{(134,1),(136,1),(142,1),(216,1),(223,1),(224,1),(225,1),(324,1),(541,1),(551,1)}
       178:{1,3,4,6,7}:{(135,1),(136,1),(143,1),(217,1),(224,1),(226,1),(237,1),(240,1),(319,1),(321,1),(329,1),(337,1),(399,1),(409,1),(417,1),(420,1),(422,1),(502,1),(536,1)}
       179:{2,4,6}:{(136,1),(137,1),(225,1),(227,1)}
       180:{2,3,5,7}:{(137,1),(145,1),(219,1),(227,1),(228,1),(242,1),(328,1),(344,1),(401,1),(483,1)}
       181:{1,3,4,6,7}:{(138,1),(139,1),(220,1),(229,1),(321,1),(329,1),(420,1)}
       182:{2,5,6,7}:{(138,1),(141,1),(229,1),(230,1),(503,1)}
       183:{2,3,5,6}:{(140,1),(146,1),(231,1),(232,1),(324,1)}
       184:{2,4,5,7}:{(139,1),(140,1),(141,1),(148,1),(229,1),(231,1),(233,1),(333,1),(432,1),(503,1)}
       185:{1,4,5,6}:{(140,1),(142,1),(149,1),(232,1),(233,1),(431,1),(541,1)}
       186:{1,5,7}:{(141,1),(142,1),(143,1)}
       187:{1,2,5,6}:{(142,1),(144,1),(225,1),(235,1),(236,1),(249,1),(551,1)}
       188:{1,2,4,6,7}:{(143,1),(144,1),(154,1),(226,1),(235,1),(237,1),(243,1),(337,1),(480,1),(489,1),(536,1)}
       189:{1,3,6}:{(144,1),(145,1),(227,1)}
       190:{1,3,4,7}:{(145,1),(156,1),(228,1),(238,1),(245,1),(337,1),(482,1)}
       191:{2,3,4,7}:{(146,1),(148,1),(231,1),(240,1),(344,1),(422,1),(432,1)}
       192:{1,3,4,6}:{(146,1),(147,1),(149,1),(232,1),(240,1),(241,1),(244,1),(342,1),(431,1)}
       193:{2,4,5}:{(147,1),(241,1),(242,1)}
       194:{1,4,7}:{(148,1),(149,1),(151,1)}
       195:{1,2,4,6}:{(149,1),(150,1),(152,1),(241,1),(243,1),(244,1)}
       196:{1,3,5}:{(150,1),(242,1),(244,1),(245,1)}
       197:{1,2,5,7}:{(151,1),(152,1),(154,1),(243,1),(333,1)}
       198:{1,2,3,5,6}:{(152,1),(153,1),(155,1),(236,1),(244,1),(246,1),(247,1),(249,1),(334,1),(347,1),(349,1),(441,1)}
       199:{1,2,4}:{(153,1),(245,1)}
       200:{1,2,3,6,7}:{(154,1),(155,1),(237,1),(246,1),(248,1),(427,1),(441,1),(530,1)}
       201:{1,2,4,6}:{(155,1),(156,1),(238,1),(249,1)}
       202:{1,3,4,6}:{(157,1),(159,1),(251,1),(252,1),(287,1),(375,1)}
       203:{2,4,5}:{(157,1),(160,1),(252,1),(253,1)}
       204:{1,3,5,7}:{(158,1),(159,1),(162,1),(251,1),(254,1),(374,1),(511,1)}
       205:{2,3,5,6}:{(159,1),(160,1),(163,1),(169,1),(252,1),(254,1),(255,1),(365,1),(445,1)}
       206:{1,3,5}:{(160,1),(161,1),(253,1),(256,1)}
       207:{1,2,4,6}:{(161,1),(165,1),(256,1),(257,1),(259,1),(358,1)}
       208:{2,3,6,7}:{(162,1),(163,1),(170,1),(254,1),(258,1),(452,1)}
       209:{1,3,6}:{(163,1),(164,1),(171,1),(259,1)}
       210:{1,2,5,7}:{(164,1),(165,1),(256,1),(259,1)}
       211:{1,2,3,7}:{(165,1),(257,1),(447,1)}
       212:{1,3,5,6,7}:{(166,1),(168,1),(173,1),(261,1),(262,1),(519,1)}
       213:{1,3,4,5,7}:{(167,1),(168,1),(174,1),(251,1),(261,1),(264,1),(273,1),(364,1),(374,1),(459,1),(519,1)}
       214:{2,4,5,6}:{(167,1),(169,1),(252,1),(263,1),(264,1),(265,1),(365,1),(458,1),(547,1)}
       215:{2,5,7}:{(168,1),(169,1),(170,1),(266,1)}
       216:{1,5,6}:{(169,1),(171,1),(266,1)}
       217:{1,4,6,7}:{(170,1),(171,1),(258,1),(266,1),(353,1)}
       218:{1,2,4,6}:{(171,1),(172,1),(179,1),(259,1),(267,1),(269,1),(369,1),(528,1),(529,1)}
       219:{1,3,5,7}:{(172,1),(180,1),(269,1),(270,1),(291,1),(355,1),(371,1),(392,1),(447,1)}
       220:{3,4,6,7}:{(173,1),(174,1),(271,1)}
       221:{2,3,5,6,7}:{(173,1),(176,1),(182,1),(262,1),(271,1),(272,1),(279,1),(361,1)}
       222:{2,4,5,7}:{(174,1),(175,1),(176,1),(271,1),(273,1),(376,1)}
       223:{1,4,5,6}:{(175,1),(177,1),(273,1),(274,1),(287,1),(369,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(178,1),(186,1),(266,1),(273,1),(275,1),(374,1),(526,1),(546,1)}
       225:{2,5,6}:{(177,1),(179,1),(275,1)}
       226:{2,4,6,7}:{(178,1),(179,1),(275,1),(277,1),(292,1),(376,1),(379,1),(444,1),(452,1)}
       227:{2,3,6}:{(179,1),(180,1),(189,1),(269,1)}
       228:{2,3,4,7}:{(180,1),(190,1),(270,1),(278,1),(294,1),(376,1),(446,1)}
       229:{2,4,6,7}:{(181,1),(182,1),(184,1),(279,1),(280,1),(379,1)}
       230:{1,5,6,7}:{(182,1),(186,1),(280,1),(526,1)}
       231:{2,3,5,7}:{(183,1),(184,1),(191,1),(279,1),(282,1),(374,1)}
       232:{1,3,5,6}:{(183,1),(185,1),(192,1),(282,1),(283,1)}
       233:{1,4,5,7}:{(184,1),(185,1),(186,1),(194,1),(280,1),(282,1),(471,1),(526,1)}
       234:{1,2,4,5,6}:{(185,1),(187,1),(195,1),(274,1),(283,1),(284,1),(285,1),(287,1),(298,1),(385,1),(397,1),(470,1),(527,1)}
       235:{1,2,5,7}:{(186,1),(187,1),(188,1),(275,1),(286,1),(546,1)}
       236:{1,3,5,6}:{(187,1),(189,1),(276,1),(286,1),(287,1),(289,1)}
       237:{1,3,6,7}:{(188,1),(189,1),(277,1),(286,1),(295,1),(511,1)}
       238:{1,3,4,6}:{(189,1),(190,1),(201,1),(278,1),(287,1),(289,1)}
       239:{1,2,4,5}:{(193,1),(290,1),(291,1),(391,1),(472,1),(476,1)}
       240:{1,3,4,7}:{(191,1),(192,1),(194,1),(282,1),(292,1),(295,1),(392,1),(471,1)}
       241:{2,4,6}:{(192,1),(193,1),(283,1),(292,1),(293,1)}
       242:{2,3,5}:{(193,1),(196,1),(291,1),(293,1),(294,1)}
       243:{1,2,4,7}:{(194,1),(195,1),(197,1),(292,1),(295,1)}
       244:{1,3,6}:{(195,1),(196,1),(293,1),(295,1)}
       245:{1,3,4}:{(196,1),(199,1),(294,1)}
       246:{1,2,3,5,7}:{(197,1),(198,1),(200,1),(286,1),(295,1),(297,1),(299,1),(384,1),(396,1)}
       247:{1,2,4,6}:{(198,1),(199,1),(287,1),(296,1),(297,1),(298,1),(385,1)}
       248:{1,2,4,6,7}:{(200,1),(201,1),(288,1),(297,1),(299,1),(397,1),(468,1),(542,1),(552,1)}
       249:{1,2,5}:{(201,1),(289,1)}
       250:{2,3,4,5}:{(203,1),(300,1),(301,1),(401,1),(423,1),(496,1)}
       251:{1,3,4,7}:{(202,1),(204,1),(302,1),(337,1),(422,1)}
       252:{2,4,6}:{(202,1),(203,1),(205,1),(302,1),(303,1)}
       253:{1,4,5}:{(203,1),(206,1),(303,1)}
       254:{2,3,5,7}:{(204,1),(205,1),(208,1),(215,1),(302,1),(305,1),(413,1),(483,1)}
       255:{1,3,5,6}:{(205,1),(206,1),(209,1),(216,1),(303,1),(305,1),(306,1),(403,1)}
       256:{1,2,5}:{(206,1),(207,1)}
       257:{1,2,3,6}:{(207,1),(211,1),(307,1),(403,1)}
       258:{1,3,6,7}:{(208,1),(209,1),(217,1),(305,1),(308,1)}
       259:{1,2,6}:{(209,1),(210,1)}
       260:{1,2,3,5,7}:{(210,1),(211,1),(219,1),(307,1),(309,1),(310,1),(340,1),(408,1),(436,1),(507,1)}
       261:{1,3,4,6,7}:{(212,1),(213,1),(220,1),(311,1),(321,1),(409,1),(420,1)}
       262:{2,5,6,7}:{(212,1),(215,1),(311,1),(312,1),(537,1)}
       263:{2,3,5,6}:{(214,1),(300,1),(313,1),(314,1),(324,1)}
       264:{2,4,5,7}:{(213,1),(214,1),(215,1),(302,1),(311,1),(313,1),(315,1),(413,1),(495,1),(537,1)}
       265:{1,4,5,6}:{(214,1),(216,1),(303,1),(314,1),(315,1),(494,1),(551,1)}
       266:{1,5,7}:{(215,1),(216,1),(217,1)}
       267:{1,2,5,6}:{(216,1),(218,1),(225,1),(317,1),(318,1),(408,1),(541,1)}
       268:{1,2,4,6,7}:{(217,1),(218,1),(226,1),(308,1),(317,1),(319,1),(341,1),(402,1),(417,1),(426,1),(502,1)}
       269:{1,3,6}:{(218,1),(219,1),(227,1)}
       270:{1,3,4,7}:{(219,1),(228,1),(310,1),(320,1),(343,1),(404,1),(417,1)}
       271:{2,4,6,7}:{(220,1),(221,1),(222,1),(321,1)}
       272:{1,3,5,6,7}:{(221,1),(224,1),(230,1),(312,1),(321,1),(322,1),(329,1),(409,1),(420,1)}
       273:{1,4,5,7}:{(222,1),(223,1),(224,1),(321,1),(323,1),(337,1),(417,1)}
       274:{2,4,5,6}:{(223,1),(225,1),(323,1),(324,1),(326,1)}
       275:{2,5,7}:{(224,1),(225,1),(226,1)}
       276:{2,3,5,6}:{(225,1),(227,1),(236,1),(318,1),(324,1),(325,1),(326,1),(328,1)}
       277:{2,3,6,7}:{(226,1),(227,1),(237,1),(319,1),(325,1),(344,1),(420,1),(483,1)}
       278:{2,3,4,6}:{(227,1),(228,1),(238,1),(320,1),(326,1),(328,1)}
       279:{2,3,6,7}:{(229,1),(231,1),(329,1),(420,1)}
       280:{1,4,6,7}:{(229,1),(230,1),(233,1),(329,1)}
       281:{1,2,5,6,7}:{(230,1),(235,1),(322,1),(330,1),(331,1),(349,1),(489,1),(503,1)}
       282:{1,3,5,7}:{(231,1),(232,1),(233,1),(240,1),(329,1),(333,1)}
       283:{2,5,6}:{(232,1),(241,1),(333,1)}
       284:{1,2,4,5,7}:{(233,1),(234,1),(235,1),(243,1),(323,1),(330,1),(333,1),(335,1),(337,1),(429,1),(432,1),(503,1)}
       285:{1,3,5,6}:{(234,1),(244,1),(324,1),(334,1),(335,1),(336,1),(347,1),(441,1)}
       286:{1,3,5,7}:{(235,1),(236,1),(237,1),(325,1),(337,1)}
       287:{1,4,6}:{(236,1),(326,1),(337,1),(338,1)}
       288:{1,3,4,6,7}:{(237,1),(238,1),(248,1),(327,1),(337,1),(339,1),(346,1),(435,1),(441,1),(532,1),(536,1),(550,1)}
       289:{1,3,5}:{(238,1),(249,1),(328,1),(338,1)}
       290:{1,2,4,6}:{(239,1),(241,1),(332,1),(341,1),(342,1),(431,1)}
       291:{1,3,5}:{(239,1),(242,1),(342,1),(343,1)}
       292:{2,4,7}:{(240,1),(241,1),(333,1),(344,1)}
       293:{2,3,6}:{(241,1),(242,1),(244,1),(342,1),(344,1)}
       294:{2,3,4}:{(242,1),(245,1),(343,1)}
       295:{1,3,7}:{(243,1),(244,1),(344,1)}
       296:{1,3,4,6}:{(244,1),(245,1),(247,1),(345,1),(346,1),(347,1),(441,1)}
       297:{1,2,4,7}:{(246,1),(247,1),(337,1),(346,1),(432,1)}
       298:{1,2,4,5}:{(247,1),(249,1),(338,1),(347,1),(433,1)}
       299:{1,2,5,7}:{(248,1),(249,1),(339,1),(349,1),(503,1)}
       300:{2,3,4,6}:{(250,1),(252,1),(263,1),(350,1),(351,1),(375,1),(445,1),(458,1)}
       301:{1,3,4,5}:{(250,1),(253,1),(351,1),(352,1),(355,1),(443,1),(522,1)}
       302:{2,4,7}:{(251,1),(252,1),(254,1),(353,1)}
       303:{1,4,6}:{(252,1),(253,1),(255,1),(353,1)}
       304:{1,2,4,5}:{(253,1),(256,1),(352,1),(354,1),(355,1),(358,1)}
       305:{1,3,5,7}:{(254,1),(255,1),(258,1),(266,1),(353,1),(356,1),(447,1)}
       306:{1,2,5,6}:{(255,1),(256,1),(259,1),(354,1),(356,1),(365,1)}
       307:{1,2,3,5}:{(256,1),(257,1),(355,1),(358,1)}
       308:{1,2,6,7}:{(258,1),(259,1),(356,1),(452,1)}
       309:{1,2,3,6}:{(259,1),(260,1),(269,1),(360,1),(529,1)}
       310:{1,2,4,7}:{(260,1),(270,1),(358,1),(360,1),(391,1)}
       311:{2,4,6,7}:{(261,1),(262,1),(264,1),(361,1),(362,1),(452,1)}
       312:{1,5,6,7}:{(262,1),(266,1),(362,1),(546,1)}
       313:{2,3,5,7}:{(263,1),(264,1),(350,1),(361,1),(364,1),(374,1)}
       314:{1,3,5,6}:{(263,1),(265,1),(351,1),(364,1),(365,1)}
       315:{1,4,5,7}:{(264,1),(265,1),(266,1),(353,1),(362,1),(364,1),(521,1),(546,1)}
       316:{1,2,4,5,6}:{(265,1),(267,1),(274,1),(354,1),(365,1),(366,1),(367,1),(369,1),(450,1),(458,1),(516,1),(520,1),(547,1)}
       317:{1,2,5,7}:{(266,1),(267,1),(268,1),(275,1),(368,1),(526,1)}
       318:{1,3,5,6}:{(267,1),(269,1),(276,1),(368,1),(369,1),(371,1)}
       319:{1,3,6,7}:{(268,1),(269,1),(277,1),(368,1),(392,1),(447,1)}
       320:{1,3,4,6}:{(269,1),(270,1),(278,1),(360,1),(369,1),(371,1)}
       321:{1,4,6,7}:{(271,1),(272,1),(273,1),(372,1)}
       322:{2,5,6,7}:{(272,1),(275,1),(372,1),(379,1),(452,1)}
       323:{2,4,5,7}:{(273,1),(274,1),(275,1),(372,1),(374,1),(376,1)}
       324:{3,5,6}:{(274,1),(374,1),(375,1)}
       325:{2,3,5,7}:{(275,1),(276,1),(277,1),(286,1),(368,1),(374,1),(376,1)}
       326:{2,4,6}:{(276,1),(287,1),(369,1),(375,1),(376,1),(377,1)}
       327:{2,3,4,6,7}:{(277,1),(278,1),(288,1),(370,1),(376,1),(378,1),(394,1),(463,1),(466,1),(468,1),(478,1),(513,1),(518,1),(545,1)}
       328:{2,3,5}:{(278,1),(289,1),(371,1),(377,1)}
       329:{1,3,6,7}:{(279,1),(280,1),(282,1),(379,1)}
       330:{1,2,4,6,7}:{(280,1),(281,1),(284,1),(372,1),(379,1),(380,1),(381,1),(397,1),(468,1)}
       331:{1,3,5,6,7}:{(281,1),(286,1),(373,1),(380,1),(381,1),(389,1),(469,1),(517,1),(546,1)}
       332:{1,2,5,6}:{(283,1),(290,1),(382,1),(383,1),(476,1),(529,1)}
       333:{2,5,7}:{(282,1),(283,1),(292,1),(379,1)}
       334:{2,3,5,6}:{(283,1),(285,1),(293,1),(383,1),(384,1),(385,1),(395,1),(478,1),(527,1)}
       335:{1,3,5,7}:{(284,1),(285,1),(295,1),(374,1),(380,1),(384,1),(386,1)}
       336:{1,3,4,6}:{(285,1),(287,1),(375,1),(385,1),(386,1),(387,1)}
       337:{1,4,7}:{(286,1),(287,1),(376,1)}
       338:{1,4,5}:{(287,1),(289,1),(377,1)}
       339:{1,3,5,7}:{(288,1),(289,1),(299,1),(378,1),(388,1),(389,1),(546,1)}
       340:{1,2,3,5}:{(291,1),(390,1),(391,1),(476,1)}
       341:{1,2,4,7}:{(290,1),(292,1),(382,1),(392,1),(471,1)}
       342:{1,3,6}:{(290,1),(291,1),(293,1),(392,1)}
       343:{1,3,4}:{(291,1),(294,1),(391,1)}
       344:{2,3,7}:{(292,1),(293,1),(295,1),(392,1)}
       345:{2,3,4,6}:{(293,1),(294,1),(296,1),(385,1),(393,1),(394,1),(395,1),(478,1)}
       346:{1,3,4,7}:{(295,1),(296,1),(297,1),(394,1),(396,1)}
       347:{1,3,5}:{(296,1),(298,1),(395,1)}
       348:{1,2,4,5,7}:{(297,1),(298,1),(299,1),(388,1),(396,1),(397,1),(473,1)}
       349:{1,2,5,6}:{(299,1),(389,1),(397,1),(527,1),(552,1)}
       350:{2,3,4,7}:{(300,1),(302,1),(313,1),(399,1),(422,1),(483,1),(495,1)}
       351:{1,3,4,6}:{(300,1),(301,1),(303,1),(314,1),(399,1),(400,1),(403,1),(481,1),(494,1)}
       352:{2,4,5}:{(301,1),(400,1),(401,1)}
       353:{1,4,7}:{(302,1),(303,1),(305,1)}
       354:{1,2,4,6}:{(303,1),(304,1),(306,1),(400,1),(402,1),(403,1)}
       355:{1,3,5}:{(304,1),(401,1),(403,1),(404,1)}
       356:{1,2,5,7}:{(305,1),(306,1),(308,1),(402,1),(413,1)}
       357:{1,2,3,5,6}:{(306,1),(307,1),(309,1),(318,1),(403,1),(405,1),(406,1),(408,1),(414,1),(486,1),(488,1),(535,1)}
       358:{1,2,4}:{(307,1),(404,1)}
       359:{1,2,3,6,7}:{(308,1),(309,1),(319,1),(405,1),(407,1),(436,1),(490,1),(535,1)}
       360:{1,2,4,6}:{(309,1),(310,1),(320,1),(408,1)}
       361:{2,3,6,7}:{(311,1),(313,1),(409,1),(420,1)}
       362:{1,4,6,7}:{(311,1),(312,1),(315,1),(409,1)}
       363:{1,2,5,6,7}:{(312,1),(317,1),(322,1),(410,1),(411,1),(426,1),(488,1),(537,1)}
       364:{1,3,5,7}:{(313,1),(314,1),(315,1),(399,1),(409,1),(413,1)}
       365:{2,5,6}:{(314,1),(400,1),(413,1)}
       366:{1,2,4,5,7}:{(315,1),(316,1),(317,1),(323,1),(402,1),(410,1),(413,1),(415,1),(417,1),(492,1),(495,1),(537,1)}
       367:{1,3,5,6}:{(316,1),(324,1),(403,1),(414,1),(415,1),(416,1),(486,1),(535,1)}
       368:{1,3,5,7}:{(317,1),(318,1),(319,1),(325,1),(417,1)}
       369:{1,4,6}:{(318,1),(326,1),(417,1),(418,1)}
       370:{1,3,4,6,7}:{(319,1),(320,1),(327,1),(407,1),(417,1),(419,1),(438,1),(485,1),(498,1),(502,1),(508,1),(535,1)}
       371:{1,3,5}:{(320,1),(328,1),(408,1),(418,1)}
       372:{2,4,6,7}:{(321,1),(322,1),(323,1),(420,1)}
       373:{2,3,5,6,7}:{(322,1),(325,1),(331,1),(411,1),(420,1),(421,1),(425,1),(427,1),(490,1),(499,1),(503,1),(537,1)}
       374:{3,5,7}:{(323,1),(324,1),(420,1),(422,1)}
       375:{3,4,6}:{(324,1),(326,1),(422,1),(423,1)}
       376:{2,4,7}:{(325,1),(326,1),(337,1),(417,1),(422,1)}
       377:{2,4,5}:{(326,1),(328,1),(338,1),(418,1),(423,1)}
       378:{2,3,5,7}:{(327,1),(328,1),(339,1),(419,1),(424,1),(425,1),(499,1),(503,1),(537,1)}
       379:{2,6,7}:{(329,1),(333,1)}
       380:{1,3,6,7}:{(330,1),(335,1),(420,1),(427,1),(441,1)}
       381:{1,4,6,7}:{(331,1),(337,1),(421,1),(429,1),(435,1)}
       382:{1,2,5,7}:{(332,1),(333,1),(341,1),(426,1),(430,1)}
       383:{1,3,5,6}:{(332,1),(334,1),(342,1),(430,1),(431,1),(439,1),(508,1),(541,1)}
       384:{2,3,5,7}:{(333,1),(334,1),(335,1),(344,1),(427,1),(430,1),(432,1),(503,1)}
       385:{2,4,6}:{(334,1),(336,1),(431,1),(432,1),(433,1)}
       386:{1,3,4,7}:{(335,1),(336,1),(337,1),(422,1),(432,1)}
       387:{1,3,4,5}:{(336,1),(338,1),(347,1),(423,1),(433,1)}
       388:{1,4,5,7}:{(337,1),(338,1),(339,1),(424,1),(435,1)}
       389:{1,3,5,6}:{(339,1),(349,1),(425,1),(435,1),(441,1),(550,1),(551,1)}
       390:{1,2,3,6}:{(340,1),(342,1),(436,1),(437,1)}
       391:{1,2,4}:{(340,1),(343,1)}
       392:{1,3,7}:{(341,1),(342,1),(344,1)}
       393:{1,3,4,6}:{(342,1),(343,1),(345,1),(431,1),(437,1),(438,1),(439,1),(508,1)}
       394:{2,3,4,7}:{(344,1),(345,1),(346,1),(432,1),(438,1),(440,1)}
       395:{2,3,5}:{(345,1),(347,1),(433,1),(439,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(348,1),(440,1),(441,1)}
       397:{1,2,4,6}:{(348,1),(349,1),(435,1),(441,1),(506,1)}
       398:{1,2,4,5}:{(352,1),(442,1),(443,1),(510,1),(522,1),(543,1)}
       399:{1,3,4,7}:{(350,1),(351,1),(353,1),(364,1),(444,1),(447,1),(511,1),(521,1)}
       400:{2,4,6}:{(351,1),(352,1),(365,1),(444,1),(445,1)}
       401:{2,3,5}:{(352,1),(355,1),(443,1),(445,1),(446,1)}
       402:{1,2,4,7}:{(353,1),(354,1),(356,1),(444,1),(447,1)}
       403:{1,3,6}:{(354,1),(355,1),(445,1),(447,1)}
       404:{1,3,4}:{(355,1),(358,1),(446,1)}
       405:{1,2,3,5,7}:{(356,1),(357,1),(359,1),(368,1),(447,1),(449,1),(451,1),(457,1),(515,1)}
       406:{1,2,4,6}:{(357,1),(358,1),(369,1),(448,1),(449,1),(450,1),(458,1)}
       407:{1,2,4,6,7}:{(359,1),(360,1),(370,1),(449,1),(451,1),(475,1),(516,1),(518,1),(529,1)}
       408:{1,2,5}:{(360,1),(371,1)}
       409:{1,3,6,7}:{(361,1),(362,1),(364,1),(452,1)}
       410:{1,2,4,6,7}:{(362,1),(363,1),(366,1),(372,1),(452,1),(453,1),(454,1),(516,1),(518,1)}
       411:{1,3,5,6,7}:{(363,1),(368,1),(373,1),(453,1),(454,1),(462,1),(467,1),(519,1),(526,1)}
       412:{1,2,5,6}:{(365,1),(442,1),(455,1),(456,1),(543,1),(552,1)}
       413:{2,5,7}:{(364,1),(365,1),(444,1),(452,1)}
       414:{2,3,5,6}:{(365,1),(367,1),(445,1),(456,1),(457,1),(458,1),(514,1),(545,1),(547,1)}
       415:{1,3,5,7}:{(366,1),(367,1),(374,1),(447,1),(453,1),(457,1),(459,1)}
       416:{1,3,4,6}:{(367,1),(369,1),(375,1),(458,1),(459,1),(460,1)}
       417:{1,4,7}:{(368,1),(369,1),(376,1)}
       418:{1,4,5}:{(369,1),(371,1),(377,1)}
       419:{1,3,5,7}:{(370,1),(371,1),(378,1),(451,1),(461,1),(462,1),(526,1)}
       420:{3,6,7}:{(372,1),(374,1)}
       421:{2,4,6,7}:{(373,1),(376,1),(381,1),(454,1),(463,1),(464,1),(466,1)}
       422:{3,4,7}:{(374,1),(375,1),(376,1)}
       423:{3,4,5}:{(375,1),(377,1)}
       424:{2,4,5,7}:{(376,1),(377,1),(378,1),(388,1),(461,1),(465,1),(466,1)}
       425:{2,3,5,6}:{(378,1),(389,1),(462,1),(466,1),(478,1),(525,1),(527,1),(545,1),(547,1)}
       426:{1,2,6,7}:{(379,1),(382,1),(467,1),(529,1)}
       427:{2,3,6,7}:{(379,1),(380,1),(384,1),(467,1),(468,1),(478,1)}
       428:{1,3,4,6,7}:{(380,1),(381,1),(386,1),(463,1),(468,1),(469,1),(474,1)}
       429:{1,4,5,7}:{(381,1),(464,1),(469,1),(470,1),(546,1)}
       430:{1,3,5,7}:{(382,1),(383,1),(384,1),(392,1),(467,1),(471,1),(526,1)}
       431:{1,4,6}:{(383,1),(385,1),(471,1),(472,1)}
       432:{2,4,7}:{(384,1),(385,1),(386,1),(471,1)}
       433:{2,4,5}:{(385,1),(387,1),(395,1),(472,1)}
       434:{1,3,4,5,7}:{(386,1),(387,1),(388,1),(396,1),(465,1),(469,1),(473,1),(474,1)}
       435:{1,4,6}:{(388,1),(389,1),(466,1)}
       436:{1,2,3,7}:{(390,1),(392,1),(475,1)}
       437:{1,2,4,6}:{(390,1),(391,1),(393,1),(475,1),(476,1),(529,1)}
       438:{1,3,4,7}:{(392,1),(393,1),(394,1),(471,1),(475,1),(477,1)}
       439:{1,3,5}:{(393,1),(395,1),(472,1),(476,1)}
       440:{2,3,5,7}:{(394,1),(395,1),(396,1),(473,1),(477,1),(478,1)}
       441:{1,3,6}:{(396,1),(397,1),(478,1)}
       442:{1,2,4,6}:{(398,1),(400,1),(412,1),(480,1),(481,1),(494,1)}
       443:{1,3,5}:{(398,1),(401,1),(481,1),(482,1)}
       444:{2,4,7}:{(399,1),(400,1),(413,1),(483,1)}
       445:{2,3,6}:{(400,1),(401,1),(403,1),(481,1),(483,1)}
       446:{2,3,4}:{(401,1),(404,1),(482,1)}
       447:{1,3,7}:{(402,1),(403,1),(483,1)}
       448:{1,3,4,6}:{(403,1),(404,1),(406,1),(484,1),(485,1),(486,1),(535,1)}
       449:{1,2,4,7}:{(405,1),(406,1),(417,1),(485,1),(495,1)}
       450:{1,2,4,5}:{(406,1),(408,1),(418,1),(486,1),(496,1)}
       451:{1,2,5,7}:{(407,1),(408,1),(419,1),(488,1),(537,1)}
       452:{2,6,7}:{(409,1),(413,1)}
       453:{1,3,6,7}:{(410,1),(415,1),(420,1),(490,1),(535,1)}
       454:{1,4,6,7}:{(411,1),(417,1),(421,1),(492,1),(498,1)}
       455:{1,2,5,7}:{(412,1),(413,1),(480,1),(489,1),(493,1)}
       456:{1,3,5,6}:{(412,1),(414,1),(481,1),(493,1),(494,1),(533,1),(550,1),(551,1)}
       457:{2,3,5,7}:{(413,1),(414,1),(415,1),(483,1),(490,1),(493,1),(495,1),(537,1)}
       458:{2,4,6}:{(414,1),(416,1),(494,1),(495,1),(496,1)}
       459:{1,3,4,7}:{(415,1),(416,1),(417,1),(422,1),(495,1)}
       460:{1,3,4,5}:{(416,1),(418,1),(423,1),(486,1),(496,1)}
       461:{1,4,5,7}:{(417,1),(418,1),(419,1),(424,1),(498,1)}
       462:{1,3,5,6}:{(419,1),(425,1),(488,1),(498,1),(508,1),(535,1),(541,1)}
       463:{3,4,6,7}:{(420,1),(421,1),(422,1),(499,1),(501,1)}
       464:{2,4,5,7}:{(421,1),(429,1),(492,1),(499,1),(500,1),(503,1),(537,1)}
       465:{3,4,5,7}:{(422,1),(423,1),(424,1),(499,1),(501,1)}
       466:{2,4,6}:{(424,1),(425,1),(435,1),(498,1),(501,1)}
       467:{1,3,6,7}:{(426,1),(427,1),(430,1),(502,1),(508,1)}
       468:{2,4,6,7}:{(427,1),(428,1),(432,1),(502,1),(503,1),(506,1)}
       469:{1,3,5,7}:{(428,1),(429,1),(499,1),(503,1),(504,1)}
       470:{1,4,5,6}:{(429,1),(435,1),(500,1),(504,1),(551,1)}
       471:{1,4,7}:{(430,1),(431,1),(432,1)}
       472:{1,4,5}:{(431,1),(433,1),(439,1)}
       473:{2,4,5,7}:{(432,1),(433,1),(434,1),(440,1),(503,1),(505,1),(506,1)}
       474:{1,3,4,6}:{(434,1),(435,1),(441,1),(501,1),(504,1),(506,1)}
       475:{1,2,4,7}:{(436,1),(437,1),(438,1),(507,1)}
       476:{1,2,5}:{(437,1),(439,1)}
       477:{1,3,5,7}:{(438,1),(439,1),(440,1),(505,1),(507,1),(508,1)}
       478:{2,3,6}:{(440,1),(441,1),(506,1),(508,1)}
       479:{1,2,3,5}:{(443,1),(509,1),(510,1),(543,1)}
       480:{1,2,4,7}:{(442,1),(444,1),(455,1),(511,1),(521,1)}
       481:{1,3,6}:{(442,1),(443,1),(445,1),(511,1)}
       482:{1,3,4}:{(443,1),(446,1),(510,1)}
       483:{2,3,7}:{(444,1),(445,1),(447,1),(511,1)}
       484:{2,3,4,6}:{(445,1),(446,1),(448,1),(458,1),(512,1),(513,1),(514,1),(545,1)}
       485:{1,3,4,7}:{(447,1),(448,1),(449,1),(513,1),(515,1)}
       486:{1,3,5}:{(448,1),(450,1),(514,1)}
       487:{1,2,4,5,7}:{(449,1),(450,1),(451,1),(461,1),(515,1),(516,1),(523,1)}
       488:{1,2,5,6}:{(451,1),(462,1),(516,1),(529,1),(547,1)}
       489:{1,2,6,7}:{(452,1),(455,1),(517,1),(552,1)}
       490:{2,3,6,7}:{(452,1),(453,1),(457,1),(517,1),(518,1),(545,1)}
       491:{1,3,4,6,7}:{(453,1),(454,1),(459,1),(463,1),(518,1),(519,1),(524,1)}
       492:{1,4,5,7}:{(454,1),(464,1),(519,1),(520,1),(526,1)}
       493:{1,3,5,7}:{(455,1),(456,1),(457,1),(511,1),(517,1),(521,1),(546,1)}
       494:{1,4,6}:{(456,1),(458,1),(521,1),(522,1)}
       495:{2,4,7}:{(457,1),(458,1),(459,1),(521,1)}
       496:{2,4,5}:{(458,1),(460,1),(514,1),(522,1)}
       497:{1,3,4,5,7}:{(459,1),(460,1),(461,1),(465,1),(515,1),(519,1),(523,1),(524,1)}
       498:{1,4,6}:{(461,1),(462,1),(466,1)}
       499:{3,5,7}:{(463,1),(464,1),(525,1)}
       500:{2,4,5,6}:{(464,1),(466,1),(470,1),(520,1),(525,1),(527,1),(547,1)}
       501:{3,4,6}:{(465,1),(466,1),(525,1)}
       502:{1,4,6,7}:{(467,1),(468,1),(471,1),(526,1),(528,1)}
       503:{2,5,7}:{(468,1),(469,1),(526,1),(527,1)}
       504:{1,3,5,6}:{(469,1),(470,1),(474,1),(525,1),(527,1)}
       505:{1,4,5,7}:{(471,1),(472,1),(473,1),(477,1),(526,1),(528,1)}
       506:{2,4,6}:{(473,1),(474,1),(478,1),(527,1),(528,1)}
       507:{1,2,5,7}:{(475,1),(476,1),(477,1),(529,1)}
       508:{1,3,6}:{(477,1),(478,1),(528,1),(529,1)}
       509:{1,2,3,6}:{(479,1),(481,1),(530,1),(531,1)}
       510:{1,2,4}:{(479,1),(482,1)}
       511:{1,3,7}:{(480,1),(481,1),(483,1)}
       512:{1,3,4,6}:{(481,1),(482,1),(484,1),(494,1),(531,1),(532,1),(533,1),(550,1)}
       513:{2,3,4,7}:{(483,1),(484,1),(485,1),(495,1),(532,1),(534,1)}
       514:{2,3,5}:{(484,1),(486,1),(496,1),(533,1)}
       515:{1,3,5,7}:{(485,1),(486,1),(487,1),(534,1),(535,1)}
       516:{1,2,4,6}:{(487,1),(488,1),(498,1),(535,1),(540,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(493,1),(536,1),(550,1)}
       518:{2,4,6,7}:{(490,1),(491,1),(495,1),(536,1),(537,1),(540,1)}
       519:{1,3,5,7}:{(491,1),(492,1),(499,1),(537,1),(538,1)}
       520:{1,4,5,6}:{(492,1),(498,1),(500,1),(538,1),(541,1)}
       521:{1,4,7}:{(493,1),(494,1),(495,1)}
       522:{1,4,5}:{(494,1),(496,1),(533,1)}
       523:{2,4,5,7}:{(495,1),(496,1),(497,1),(534,1),(537,1),(539,1),(540,1)}
       524:{1,3,4,6}:{(497,1),(498,1),(501,1),(535,1),(538,1),(540,1)}
       525:{3,5,6}:{(499,1),(500,1),(501,1)}
       526:{1,5,7}:{(502,1),(503,1),(541,1)}
       527:{2,5,6}:{(503,1),(504,1),(506,1),(541,1)}
       528:{1,4,6}:{(505,1),(506,1),(508,1),(541,1)}
       529:{1,2,6}:{(507,1),(508,1)}
       530:{1,2,3,7}:{(509,1),(511,1),(542,1)}
       531:{1,2,4,6}:{(509,1),(510,1),(512,1),(542,1),(543,1),(552,1)}
       532:{1,3,4,7}:{(511,1),(512,1),(513,1),(521,1),(542,1),(544,1)}
       533:{1,3,5}:{(512,1),(514,1),(522,1),(543,1)}
       534:{2,3,5,7}:{(513,1),(514,1),(515,1),(523,1),(544,1),(545,1)}
       535:{1,3,6}:{(515,1),(516,1),(545,1)}
       536:{1,4,6,7}:{(517,1),(518,1),(521,1),(546,1),(548,1)}
       537:{2,5,7}:{(518,1),(519,1),(546,1),(547,1)}
       538:{1,3,5,6}:{(519,1),(520,1),(524,1),(525,1),(547,1)}
       539:{1,4,5,7}:{(521,1),(522,1),(523,1),(544,1),(546,1),(548,1)}
       540:{2,4,6}:{(523,1),(524,1),(545,1),(547,1),(548,1)}
       541:{1,5,6}:{(526,1),(527,1),(528,1)}
       542:{1,2,4,7}:{(530,1),(531,1),(532,1),(549,1)}
       543:{1,2,5}:{(531,1),(533,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(534,1),(539,1),(549,1),(550,1)}
       545:{2,3,6}:{(534,1),(535,1),(540,1),(550,1)}
       546:{1,5,7}:{(536,1),(537,1),(551,1)}
       547:{2,5,6}:{(537,1),(538,1),(540,1),(551,1)}
       548:{1,4,6}:{(539,1),(540,1),(550,1),(551,1)}
       549:{1,2,5,7}:{(542,1),(543,1),(544,1),(552,1)}
       550:{1,3,6}:{(544,1),(545,1),(548,1),(552,1)}
       551:{1,5,6}:{(546,1),(547,1),(548,1)}
       552:{1,2,6}:{(549,1),(550,1)}

1308 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(13,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(25,1),(29,1),(54,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(54,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(13,1),(15,1),(31,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(12,1),(16,1),(17,1),(69,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(39,1),(114,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(47,1),(54,1),(58,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(19,1),(21,1),(22,1),(28,1)}
        13:{1,3,6}:{(6,1),(7,1),(22,1)}
        14:{1,2,4,6,7}:{(7,1),(23,1),(25,1),(45,1),(54,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(24,1),(25,1),(46,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(21,1),(26,1),(27,1),(82,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(22,1),(27,1),(28,1),(53,1),(105,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(43,1),(61,1),(69,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(31,1),(33,1),(39,1),(70,1)}
        21:{1,3,5,7}:{(12,1),(16,1),(30,1),(34,1),(35,1),(42,1)}
        22:{2,3,6}:{(12,1),(13,1),(31,1),(35,1)}
        23:{1,3,6,7}:{(13,1),(14,1),(36,1),(38,1),(123,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(18,1),(37,1),(38,1),(39,1),(112,1),(114,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(38,1),(61,1),(124,1)}
        26:{1,2,4,7}:{(16,1),(34,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(35,1),(41,1),(42,1),(68,1),(94,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(44,1),(57,1),(74,1),(82,1)}
        31:{2,4,6}:{(19,1),(20,1),(22,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(45,1),(47,1),(54,1),(79,1),(84,1),(103,1)}
        33:{1,3,5,6}:{(20,1),(46,1),(47,1),(48,1),(78,1)}
        34:{1,2,5,7}:{(21,1),(26,1),(49,1),(56,1)}
        35:{1,3,6}:{(21,1),(22,1),(44,1),(49,1)}
        36:{2,3,6,7}:{(22,1),(23,1),(45,1),(50,1),(52,1),(103,1),(118,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(28,1),(46,1),(51,1),(52,1),(53,1),(78,1),(102,1),(105,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(52,1),(54,1),(119,1),(120,1)}
        39:{1,4,6}:{(24,1),(29,1),(53,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(49,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
        44:{1,4,6}:{(30,1),(31,1),(35,1),(60,1)}
        45:{2,4,6,7}:{(31,1),(32,1),(36,1),(59,1),(61,1),(69,1)}
        46:{2,5,6}:{(31,1),(33,1),(60,1),(61,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(61,1),(64,1),(92,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,2,6}:{(34,1),(35,1)}
        50:{1,3,6,7}:{(35,1),(36,1),(59,1),(65,1),(67,1)}
        51:{1,3,5,6}:{(35,1),(37,1),(42,1),(60,1),(66,1),(67,1),(68,1),(94,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(38,1),(61,1),(67,1),(69,1),(92,1),(111,1),(113,1)}
        53:{2,4,6}:{(37,1),(39,1),(43,1),(68,1),(69,1),(70,1)}
        54:{1,4,7}:{(38,1),(39,1),(69,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(94,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(68,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,4,6,7}:{(44,1),(45,1),(50,1),(74,1),(82,1)}
        60:{1,5,6}:{(44,1),(46,1),(74,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(74,1)}
        62:{2,4,5,6}:{(46,1),(48,1),(53,1),(75,1),(77,1),(78,1),(102,1)}
        63:{1,3,5,6,7}:{(47,1),(76,1),(79,1),(103,1)}
        64:{1,4,5,7}:{(47,1),(48,1),(54,1),(77,1),(79,1),(119,1)}
        65:{1,2,6,7}:{(49,1),(50,1),(80,1),(118,1)}
        66:{1,2,5,6}:{(49,1),(51,1),(56,1),(80,1),(81,1),(102,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(74,1),(80,1),(82,1),(104,1)}
        68:{1,4,6}:{(51,1),(53,1),(57,1),(82,1)}
        69:{2,4,7}:{(52,1),(53,1),(54,1),(82,1),(84,1)}
        70:{3,4,6}:{(53,1),(58,1),(78,1),(84,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(81,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(83,1),(86,1),(87,1)}
        74:{1,5,7}:{(59,1),(60,1),(61,1)}
        75:{1,4,5,6}:{(60,1),(62,1),(68,1),(89,1),(90,1)}
        76:{2,5,6,7}:{(61,1),(63,1),(88,1),(91,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(69,1),(89,1),(91,1),(92,1),(111,1)}
        78:{3,5,6}:{(62,1),(70,1),(92,1)}
        79:{1,4,6,7}:{(63,1),(64,1),(91,1),(123,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(67,1),(93,1),(111,1)}
        81:{1,2,4,6}:{(66,1),(68,1),(72,1),(93,1),(94,1),(96,1)}
        82:{1,4,7}:{(67,1),(68,1),(69,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(73,1),(90,1),(94,1),(95,1),(96,1)}
        84:{3,4,7}:{(69,1),(70,1),(92,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(94,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{1,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(100,1),(101,1)}
        90:{1,3,5,6}:{(75,1),(78,1),(83,1),(101,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(79,1),(100,1),(103,1),(118,1)}
        92:{3,5,7}:{(77,1),(78,1),(84,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(82,1),(104,1),(106,1)}
        94:{1,3,6}:{(81,1),(86,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(82,1),(83,1),(84,1),(101,1),(104,1),(106,1)}
        96:{2,4,6}:{(83,1),(87,1),(102,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(105,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(91,1),(110,1)}
       101:{1,3,5,7}:{(89,1),(90,1),(92,1),(95,1),(110,1),(111,1)}
       102:{2,5,6}:{(90,1),(96,1),(111,1),(112,1)}
       103:{3,6,7}:{(91,1),(92,1)}
       104:{1,3,7}:{(93,1),(94,1),(113,1)}
       105:{2,3,6}:{(94,1),(96,1),(98,1),(113,1),(114,1)}
       106:{2,4,7}:{(95,1),(96,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(114,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(103,1),(118,1)}
       111:{2,5,7}:{(101,1),(102,1),(106,1),(118,1),(119,1)}
       112:{1,5,6}:{(102,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,3,6}:{(105,1),(107,1),(109,1),(120,1),(121,1)}
       115:{1,4,7}:{(106,1),(107,1),(119,1),(120,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(115,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(114,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1309 :   0:{1,2,4,6}:{(2,1),(3,1),(4,1),(5,1),(24,1),(26,1),(64,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(7,1),(19,1),(24,1),(32,1),(53,1),(61,1),(64,1),(101,1)}
         2:{1,3,6}:{(0,1),(9,1),(10,1),(11,1),(108,1)}
         3:{1,2,5}:{(0,1),(10,1),(14,1),(84,1),(143,1)}
         4:{1,2,4,7}:{(0,1),(11,1),(12,1),(15,1),(43,1),(177,1)}
         5:{2,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(41,1),(49,1)}
         6:{1,3,5}:{(1,1),(14,1),(16,1),(47,1),(84,1),(120,1)}
         7:{1,3,4,7}:{(1,1),(11,1),(15,1),(17,1),(36,1),(43,1),(74,1),(82,1),(178,1)}
         8:{1,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(32,1),(53,1),(70,1),(107,1)}
         9:{2,3,6}:{(2,1),(5,1),(21,1),(22,1),(23,1),(53,1),(90,1)}
        10:{1,3,5}:{(2,1),(3,1),(22,1),(24,1),(103,1),(129,1)}
        11:{1,3,7}:{(2,1),(4,1),(23,1),(125,1),(182,1)}
        12:{1,2,5,7}:{(3,1),(4,1),(25,1),(26,1),(30,1),(154,1),(171,1)}
        13:{1,4,6}:{(5,1),(21,1),(27,1),(28,1),(59,1),(67,1)}
        14:{2,5}:{(5,1),(6,1),(27,1)}
        15:{2,4,7}:{(5,1),(7,1),(23,1),(28,1),(30,1),(183,1)}
        16:{1,4,5}:{(6,1),(19,1),(24,1),(29,1),(103,1),(136,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(68,1),(170,1),(174,1)}
        18:{2,5,6}:{(8,1),(14,1),(33,1),(34,1),(35,1),(49,1)}
        19:{1,4,6}:{(8,1),(16,1),(34,1),(36,1),(108,1),(124,1)}
        20:{1,3,5,7}:{(8,1),(35,1),(36,1),(37,1),(74,1),(76,1),(112,1)}
        21:{1,3,6}:{(9,1),(13,1),(38,1),(39,1),(40,1)}
        22:{2,3,5}:{(9,1),(10,1),(14,1),(39,1),(41,1),(47,1),(85,1),(113,1)}
        23:{2,3,7}:{(9,1),(11,1),(15,1),(40,1),(74,1),(109,1),(185,1)}
        24:{1,4}:{(10,1),(41,1)}
        25:{1,3,5,7}:{(10,1),(11,1),(12,1),(42,1),(43,1),(44,1),(84,1),(121,1),(144,1),(165,1)}
        26:{1,2,6}:{(12,1),(44,1),(49,1)}
        27:{1,5}:{(13,1),(14,1)}
        28:{1,4,7}:{(13,1),(15,1),(40,1),(46,1),(186,1)}
        29:{2,4,5}:{(14,1),(16,1),(34,1),(41,1),(45,1),(47,1),(85,1)}
        30:{2,5,7}:{(14,1),(15,1),(17,1),(46,1),(49,1),(176,1),(179,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(36,1),(43,1),(48,1),(50,1),(76,1),(84,1),(121,1),(162,1),(167,1)}
        32:{1,3,6}:{(17,1),(49,1),(50,1),(88,1)}
        33:{1,5,6}:{(18,1),(27,1),(51,1),(52,1),(67,1)}
        34:{2,4,6}:{(18,1),(19,1),(29,1),(51,1),(53,1),(54,1),(90,1)}
        35:{2,5,7}:{(18,1),(20,1),(52,1),(54,1),(55,1)}
        36:{1,4,7}:{(19,1),(20,1),(54,1),(125,1),(128,1)}
        37:{1,3,6,7}:{(20,1),(32,1),(55,1),(56,1),(93,1),(170,1)}
        38:{1,2,6}:{(21,1),(57,1),(58,1),(90,1)}
        39:{1,3,5}:{(21,1),(22,1),(27,1),(57,1),(59,1),(95,1)}
        40:{1,3,7}:{(21,1),(23,1),(28,1),(58,1),(187,1)}
        41:{2,4}:{(22,1),(24,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(22,1),(23,1),(25,1),(30,1),(60,1),(62,1),(63,1),(68,1),(102,1),(104,1),(130,1),(156,1)}
        43:{1,4,7}:{(24,1),(25,1),(62,1),(64,1),(172,1)}
        44:{1,3,6}:{(25,1),(26,1),(63,1),(64,1),(137,1)}
        45:{1,4,5}:{(27,1),(29,1),(51,1),(59,1),(65,1)}
        46:{1,5,7}:{(27,1),(28,1),(30,1),(67,1),(181,1),(184,1)}
        47:{3,5}:{(29,1),(53,1),(61,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(31,1),(54,1),(62,1),(66,1),(68,1),(69,1),(94,1),(102,1),(104,1),(128,1),(136,1),(153,1),(159,1)}
        49:{2,6}:{(30,1),(32,1),(67,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(70,1),(137,1)}
        51:{1,4,6}:{(33,1),(34,1),(45,1),(71,1),(72,1)}
        52:{1,5,7}:{(33,1),(35,1),(72,1),(73,1)}
        53:{3,6}:{(34,1),(47,1),(74,1)}
        54:{2,4,7}:{(34,1),(35,1),(36,1),(72,1),(74,1),(109,1)}
        55:{2,6,7}:{(35,1),(37,1),(49,1),(73,1),(176,1)}
        56:{1,4,6,7}:{(36,1),(37,1),(50,1),(75,1),(76,1),(140,1),(162,1)}
        57:{1,2,5}:{(38,1),(39,1),(77,1),(85,1)}
        58:{1,2,7}:{(38,1),(40,1),(109,1),(188,1)}
        59:{1,4}:{(39,1),(41,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(46,1),(78,1),(80,1),(81,1),(114,1),(119,1),(146,1)}
        61:{3,4}:{(41,1),(47,1)}
        62:{2,4,7}:{(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(166,1)}
        63:{2,3,6}:{(42,1),(44,1),(49,1),(81,1),(83,1),(88,1),(122,1)}
        64:{1,4,6}:{(43,1),(44,1),(83,1),(84,1)}
        65:{1,3,5}:{(45,1),(47,1),(71,1),(79,1),(85,1)}
        66:{1,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(80,1),(86,1),(87,1),(111,1),(119,1),(142,1),(149,1)}
        67:{1,6}:{(46,1),(49,1)}
        68:{3,5,7}:{(47,1),(48,1),(74,1),(82,1),(88,1),(120,1),(163,1),(168,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(87,1),(88,1),(89,1),(122,1),(124,1)}
        70:{1,5,6}:{(50,1),(76,1),(84,1),(89,1)}
        71:{1,3,6}:{(51,1),(53,1),(65,1),(90,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(54,1),(91,1)}
        73:{1,6,7}:{(52,1),(55,1),(67,1),(181,1)}
        74:{3,7}:{(53,1),(54,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(56,1),(69,1),(92,1),(93,1),(94,1),(126,1),(128,1),(153,1)}
        76:{1,5,7}:{(56,1),(70,1),(94,1)}
        77:{1,2,4}:{(57,1),(59,1),(95,1),(98,1)}
        78:{1,2,5,7}:{(57,1),(58,1),(60,1),(96,1),(97,1),(104,1),(132,1)}
        79:{1,3,4}:{(59,1),(61,1),(65,1),(95,1),(98,1)}
        80:{1,4,7}:{(59,1),(60,1),(62,1),(100,1),(157,1)}
        81:{1,3,6}:{(60,1),(63,1),(67,1),(97,1),(100,1)}
        82:{3,4,7}:{(61,1),(62,1),(68,1),(101,1),(128,1),(173,1)}
        83:{2,4,6}:{(62,1),(63,1),(64,1),(100,1),(101,1),(102,1)}
        84:{1,5}:{(64,1),(102,1)}
        85:{2,5}:{(65,1),(90,1),(98,1),(103,1)}
        86:{1,3,5,7}:{(65,1),(66,1),(68,1),(91,1),(99,1),(104,1),(105,1),(135,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1),(105,1),(106,1)}
        88:{3,6}:{(68,1),(69,1)}
        89:{2,5,6}:{(69,1),(70,1),(94,1),(102,1),(106,1),(107,1)}
        90:{2,6}:{(71,1),(85,1),(108,1),(109,1)}
        91:{1,3,7}:{(71,1),(72,1),(74,1),(109,1)}
        92:{1,4,6,7}:{(72,1),(73,1),(75,1),(87,1),(110,1),(111,1),(142,1)}
        93:{3,6,7}:{(74,1),(75,1),(88,1),(112,1),(163,1)}
        94:{2,5,7}:{(75,1),(76,1),(89,1),(111,1),(112,1)}
        95:{1,3}:{(77,1),(113,1)}
        96:{1,2,4,7}:{(77,1),(78,1),(80,1),(114,1),(115,1),(117,1)}
        97:{1,2,6}:{(78,1),(81,1),(122,1)}
        98:{2,4}:{(79,1),(85,1),(113,1),(116,1)}
        99:{1,3,4,7}:{(79,1),(80,1),(82,1),(86,1),(114,1),(117,1),(118,1),(142,1),(163,1)}
       100:{1,4,6}:{(80,1),(81,1),(83,1),(119,1)}
       101:{3,4,6}:{(82,1),(83,1),(88,1),(120,1),(124,1)}
       102:{2,5}:{(83,1),(84,1),(119,1),(120,1)}
       103:{1,5}:{(85,1),(108,1),(116,1)}
       104:{2,5,7}:{(85,1),(86,1),(109,1),(117,1),(121,1),(122,1),(148,1)}
       105:{1,3,6}:{(86,1),(87,1),(88,1),(122,1)}
       106:{1,5,6}:{(87,1),(89,1),(111,1),(119,1)}
       107:{3,5,6}:{(88,1),(89,1),(112,1),(120,1),(124,1)}
       108:{1,6}:{(90,1),(103,1),(125,1)}
       109:{2,7}:{(90,1),(91,1),(125,1)}
       110:{1,3,6,7}:{(91,1),(92,1),(93,1),(105,1),(126,1),(127,1)}
       111:{1,5,7}:{(92,1),(94,1),(106,1)}
       112:{3,5,7}:{(93,1),(94,1),(107,1),(128,1)}
       113:{2,3}:{(95,1),(98,1),(129,1)}
       114:{1,3,7}:{(95,1),(96,1),(130,1),(131,1),(181,1)}
       115:{1,2,4,6}:{(96,1),(97,1),(100,1),(131,1),(132,1),(134,1),(157,1)}
       116:{1,4}:{(98,1),(103,1),(129,1)}
       117:{2,4,7}:{(98,1),(99,1),(104,1),(130,1),(133,1),(134,1)}
       118:{1,3,4,6}:{(99,1),(100,1),(101,1),(105,1),(131,1),(134,1),(135,1),(139,1),(157,1),(161,1),(173,1)}
       119:{1,5}:{(100,1),(102,1)}
       120:{3,5}:{(101,1),(102,1),(136,1)}
       121:{1,5,7}:{(103,1),(104,1),(125,1),(133,1),(137,1),(158,1)}
       122:{2,6}:{(104,1),(105,1),(137,1)}
       123:{1,3,5,6}:{(105,1),(106,1),(107,1),(127,1),(135,1),(138,1),(139,1),(161,1)}
       124:{4,6}:{(107,1),(128,1),(136,1)}
       125:{1,7}:{(108,1),(109,1)}
       126:{2,6,7}:{(109,1),(110,1),(122,1),(140,1),(141,1)}
       127:{1,3,5,7}:{(110,1),(111,1),(112,1),(123,1),(141,1),(142,1),(163,1)}
       128:{4,7}:{(112,1),(124,1)}
       129:{1,3}:{(113,1),(116,1),(143,1)}
       130:{2,3,7}:{(113,1),(114,1),(117,1),(144,1),(145,1),(163,1),(176,1)}
       131:{1,3,6}:{(114,1),(115,1),(145,1),(146,1),(180,1)}
       132:{1,2,5}:{(115,1),(119,1),(146,1),(148,1),(188,1)}
       133:{1,4,7}:{(116,1),(117,1),(121,1),(144,1),(147,1)}
       134:{2,4,6}:{(117,1),(118,1),(122,1),(145,1),(147,1),(148,1),(166,1)}
       135:{1,3,5}:{(118,1),(119,1),(120,1),(148,1),(149,1),(168,1)}
       136:{4,5}:{(120,1),(124,1)}
       137:{1,6}:{(121,1),(122,1)}
       138:{2,5,6}:{(122,1),(123,1),(141,1),(148,1),(150,1),(151,1)}
       139:{1,4,6}:{(123,1),(124,1),(142,1),(149,1),(151,1),(180,1)}
       140:{1,6,7}:{(125,1),(126,1),(137,1),(152,1)}
       141:{2,5,7}:{(126,1),(127,1),(138,1),(152,1),(153,1)}
       142:{1,4,7}:{(127,1),(128,1),(139,1),(153,1),(181,1)}
       143:{1,2}:{(129,1)}
       144:{1,3,7}:{(129,1),(130,1),(133,1),(154,1),(155,1)}
       145:{2,3,6}:{(130,1),(131,1),(134,1),(155,1),(156,1),(161,1),(175,1)}
       146:{1,3,5}:{(131,1),(132,1),(156,1),(157,1),(184,1),(187,1)}
       147:{1,4,6}:{(133,1),(134,1),(137,1),(155,1),(158,1),(172,1)}
       148:{2,5}:{(134,1),(135,1),(158,1)}
       149:{1,4,5}:{(135,1),(136,1),(139,1),(157,1),(159,1),(184,1)}
       150:{1,5,6}:{(137,1),(138,1),(152,1),(158,1),(160,1)}
       151:{2,4,6}:{(138,1),(139,1),(153,1),(159,1),(160,1),(161,1),(175,1)}
       152:{1,5,7}:{(140,1),(141,1),(150,1),(162,1)}
       153:{2,4,7}:{(141,1),(142,1),(151,1),(162,1),(163,1),(176,1)}
       154:{1,2,7}:{(143,1),(144,1),(164,1),(176,1)}
       155:{1,3,6}:{(144,1),(145,1),(147,1),(164,1),(165,1)}
       156:{2,3,5}:{(145,1),(146,1),(148,1),(165,1),(166,1),(168,1),(179,1),(185,1)}
       157:{1,4}:{(146,1),(166,1)}
       158:{1,5}:{(147,1),(148,1)}
       159:{2,4,5}:{(148,1),(149,1),(151,1),(166,1),(167,1),(168,1),(179,1)}
       160:{1,4,6}:{(150,1),(151,1),(162,1),(167,1),(169,1)}
       161:{3,6}:{(151,1),(163,1),(168,1)}
       162:{1,4,7}:{(152,1),(153,1),(160,1),(170,1)}
       163:{3,7}:{(153,1),(161,1)}
       164:{1,2,6}:{(154,1),(155,1),(171,1),(175,1)}
       165:{1,3,5}:{(155,1),(156,1),(158,1),(171,1),(172,1),(182,1)}
       166:{2,4}:{(156,1),(157,1),(172,1),(173,1)}
       167:{1,4,5}:{(158,1),(159,1),(160,1),(172,1),(174,1)}
       168:{3,5}:{(159,1),(161,1),(173,1)}
       169:{1,3,6}:{(160,1),(161,1),(170,1),(174,1),(175,1)}
       170:{1,3,7}:{(162,1),(163,1),(169,1),(176,1)}
       171:{1,2,5}:{(164,1),(165,1),(177,1),(179,1)}
       172:{1,4}:{(165,1),(166,1)}
       173:{3,4}:{(166,1),(168,1)}
       174:{1,3,5}:{(167,1),(168,1),(169,1),(178,1),(179,1)}
       175:{2,6}:{(169,1),(176,1),(179,1),(180,1)}
       176:{2,7}:{(170,1),(175,1),(181,1)}
       177:{1,2,4}:{(171,1),(172,1),(182,1),(183,1)}
       178:{1,3,4}:{(172,1),(173,1),(174,1),(182,1),(183,1)}
       179:{2,5}:{(174,1),(175,1),(183,1),(184,1)}
       180:{1,6}:{(175,1),(181,1),(184,1)}
       181:{1,7}:{(176,1),(180,1)}
       182:{1,3}:{(177,1),(185,1)}
       183:{2,4}:{(178,1),(179,1),(185,1),(186,1)}
       184:{1,5}:{(179,1),(180,1),(186,1)}
       185:{2,3}:{(182,1),(183,1),(187,1)}
       186:{1,4}:{(183,1),(184,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

1310 :   0:{1,2,3,5}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(18,1),(165,1)}
         3:{1,3,4}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(10,1),(11,1),(24,1),(35,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(38,1),(151,1),(171,1)}
         6:{1,2,3,7}:{(2,1),(12,1),(34,1)}
         7:{2,3,4}:{(3,1),(15,1),(16,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(20,1),(54,1),(57,1),(134,1),(162,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(22,1),(40,1),(54,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,7}:{(5,1),(6,1),(20,1),(23,1),(174,1)}
        13:{1,3,4,5}:{(8,1),(24,1),(25,1),(35,1),(74,1)}
        14:{1,2,3}:{(26,1)}
        15:{1,3,4}:{(7,1),(26,1),(28,1)}
        16:{2,3,5}:{(7,1),(8,1),(24,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(32,1),(72,1),(76,1),(113,1),(148,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1),(34,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(35,1)}
        20:{1,3,4,7}:{(9,1),(12,1),(32,1),(34,1),(36,1),(77,1),(172,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,4,7}:{(10,1),(34,1),(37,1),(61,1),(77,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(36,1),(38,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(18,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,4}:{(14,1),(15,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(44,1),(45,1),(46,1),(130,1)}
        28:{1,3,5}:{(15,1),(16,1),(39,1),(43,1),(47,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(44,1),(47,1),(48,1),(49,1),(90,1),(91,1),(95,1),(130,1)}
        30:{2,3,6}:{(16,1),(18,1),(40,1),(47,1),(51,1)}
        31:{2,3,5}:{(17,1),(19,1),(48,1),(52,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(49,1),(51,1),(53,1),(97,1),(163,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(50,1),(54,1),(55,1),(57,1),(102,1),(157,1),(162,1)}
        34:{1,3,7}:{(18,1),(22,1),(51,1)}
        35:{1,4,5}:{(19,1),(52,1),(54,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(53,1),(56,1),(57,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(55,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(23,1),(57,1)}
        39:{1,4,5}:{(24,1),(28,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(34,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,5}:{(26,1),(28,1),(64,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(29,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        45:{1,2,3,5}:{(27,1),(65,1),(67,1),(111,1)}
        46:{1,2,3,7}:{(27,1),(66,1),(149,1)}
        47:{1,3,6}:{(28,1),(30,1),(59,1),(64,1),(69,1)}
        48:{1,3,5}:{(29,1),(31,1),(65,1),(70,1)}
        49:{1,3,4,7}:{(29,1),(32,1),(66,1),(69,1),(71,1),(115,1),(149,1)}
        50:{2,3,5,6}:{(30,1),(31,1),(33,1),(60,1),(68,1),(72,1),(73,1),(76,1),(105,1),(122,1),(143,1),(148,1)}
        51:{2,3,7}:{(30,1),(34,1),(61,1),(69,1)}
        52:{2,4,5}:{(31,1),(35,1),(70,1),(72,1),(74,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(36,1),(71,1),(75,1),(76,1)}
        54:{1,4,6}:{(33,1),(35,1),(72,1),(77,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(37,1),(73,1),(77,1),(78,1),(123,1),(168,1),(172,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(75,1),(77,1),(79,1),(123,1)}
        57:{1,3,6}:{(36,1),(38,1),(76,1),(79,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(78,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(47,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(51,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(157,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,6}:{(43,1),(47,1),(87,1)}
        65:{1,2,5}:{(44,1),(48,1)}
        66:{1,2,4,7}:{(44,1),(46,1),(49,1),(87,1),(89,1)}
        67:{1,2,4}:{(45,1),(90,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(80,1),(86,1),(91,1),(92,1),(95,1),(130,1),(139,1)}
        69:{1,3,7}:{(47,1),(51,1),(81,1),(87,1)}
        70:{1,4,5}:{(48,1),(52,1),(91,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(53,1),(89,1),(94,1),(95,1)}
        72:{2,4,6}:{(50,1),(52,1),(54,1),(91,1),(96,1),(97,1)}
        73:{2,3,5,7}:{(50,1),(51,1),(55,1),(83,1),(92,1),(97,1),(98,1),(127,1),(141,1),(158,1),(163,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(56,1),(94,1),(97,1),(99,1),(100,1),(141,1)}
        76:{2,3,6}:{(53,1),(57,1),(95,1),(100,1)}
        77:{1,4,7}:{(54,1),(55,1),(97,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(58,1),(98,1),(101,1),(173,1)}
        79:{1,4,6}:{(56,1),(57,1),(100,1),(102,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(69,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(72,1),(103,1),(105,1),(106,1),(122,1),(143,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(146,1)}
        86:{1,2,5,6}:{(64,1),(65,1),(68,1),(109,1),(110,1),(112,1),(143,1)}
        87:{1,2,7}:{(64,1),(69,1)}
        88:{1,2,4,5}:{(65,1),(67,1),(70,1),(109,1),(111,1),(117,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(71,1),(112,1)}
        90:{1,3,4}:{(67,1),(111,1),(113,1)}
        91:{1,4,6}:{(68,1),(70,1),(72,1),(115,1)}
        92:{1,3,5,7}:{(68,1),(69,1),(73,1),(104,1),(110,1),(115,1),(116,1),(149,1),(154,1)}
        93:{1,3,4,5}:{(70,1),(74,1),(111,1),(114,1),(117,1)}
        94:{1,4,5,7}:{(70,1),(71,1),(75,1),(115,1),(118,1),(154,1)}
        95:{1,3,6}:{(71,1),(76,1),(112,1),(118,1)}
        96:{3,4,6}:{(72,1),(74,1),(105,1),(119,1)}
        97:{2,4,7}:{(72,1),(73,1),(77,1),(115,1),(119,1)}
        98:{2,3,6,7}:{(73,1),(76,1),(78,1),(107,1),(116,1),(120,1),(146,1),(169,1)}
        99:{3,4,5,7}:{(74,1),(75,1),(119,1),(121,1),(155,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(118,1),(121,1),(122,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(120,1),(123,1)}
       102:{1,5,6}:{(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(91,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(97,1),(125,1),(127,1),(128,1),(141,1),(158,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{1,2,4,6}:{(86,1),(88,1),(91,1),(130,1),(131,1),(135,1)}
       110:{1,2,5,7}:{(86,1),(87,1),(92,1),(131,1),(132,1),(158,1)}
       111:{1,3,5}:{(88,1),(90,1),(130,1),(133,1)}
       112:{1,2,6}:{(89,1),(95,1)}
       113:{2,3,4}:{(90,1),(133,1),(134,1)}
       114:{1,3,4,6}:{(91,1),(93,1),(96,1),(124,1),(130,1),(135,1),(136,1)}
       115:{1,4,7}:{(91,1),(92,1),(97,1)}
       116:{1,3,6,7}:{(92,1),(95,1),(98,1),(126,1),(132,1),(137,1)}
       117:{2,4,5}:{(93,1),(133,1),(135,1),(138,1)}
       118:{1,4,6}:{(94,1),(95,1),(100,1),(139,1)}
       119:{3,4,7}:{(96,1),(97,1),(127,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(100,1),(101,1),(137,1),(140,1),(141,1)}
       121:{3,4,6}:{(99,1),(100,1),(142,1)}
       122:{2,5,6}:{(100,1),(102,1),(139,1),(141,1),(142,1)}
       123:{1,5,7}:{(101,1),(102,1),(141,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(114,1),(143,1),(144,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(115,1),(144,1),(145,1),(154,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(146,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(145,1),(146,1),(147,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(147,1)}
       130:{1,3,6}:{(109,1),(111,1),(148,1),(149,1)}
       131:{1,2,4,7}:{(109,1),(110,1),(115,1),(149,1),(153,1)}
       132:{1,2,6,7}:{(110,1),(112,1),(116,1),(169,1)}
       133:{2,3,5}:{(111,1),(113,1),(117,1),(148,1),(150,1)}
       134:{1,3,4}:{(113,1),(150,1),(151,1)}
       135:{2,4,6}:{(114,1),(117,1),(143,1),(148,1),(152,1),(153,1)}
       136:{1,3,4,7}:{(114,1),(115,1),(119,1),(144,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(118,1),(120,1),(154,1)}
       138:{1,4,5}:{(117,1),(150,1),(152,1)}
       139:{1,5,6}:{(118,1),(122,1),(154,1)}
       140:{3,4,6,7}:{(119,1),(120,1),(121,1),(146,1),(155,1),(170,1)}
       141:{2,5,7}:{(120,1),(122,1),(123,1),(154,1),(155,1)}
       142:{3,5,6}:{(121,1),(122,1),(155,1),(156,1)}
       143:{2,5,6}:{(124,1),(135,1),(157,1),(158,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(136,1),(158,1),(159,1)}
       145:{1,4,6,7}:{(125,1),(126,1),(128,1),(159,1),(160,1)}
       146:{3,6,7}:{(127,1),(128,1)}
       147:{2,5,6,7}:{(128,1),(129,1),(141,1),(160,1),(161,1)}
       148:{2,3,6}:{(130,1),(133,1),(135,1),(162,1),(163,1)}
       149:{1,3,7}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(133,1),(134,1),(138,1),(162,1),(164,1)}
       151:{1,2,4}:{(134,1),(164,1),(165,1)}
       152:{1,4,6}:{(135,1),(138,1),(157,1),(162,1),(166,1)}
       153:{2,4,7}:{(135,1),(136,1),(158,1),(163,1),(166,1)}
       154:{1,5,7}:{(137,1),(139,1),(141,1)}
       155:{3,5,7}:{(140,1),(141,1),(142,1),(167,1)}
       156:{4,5,6}:{(142,1),(167,1)}
       157:{1,5,6}:{(143,1),(152,1),(168,1)}
       158:{2,5,7}:{(143,1),(144,1),(153,1),(168,1),(169,1)}
       159:{1,3,6,7}:{(144,1),(145,1),(146,1),(169,1)}
       160:{1,5,6,7}:{(145,1),(147,1),(154,1)}
       161:{3,5,6,7}:{(146,1),(147,1),(155,1),(170,1)}
       162:{1,3,6}:{(148,1),(150,1),(152,1),(171,1),(172,1)}
       163:{2,3,7}:{(148,1),(149,1),(153,1),(172,1)}
       164:{1,2,5}:{(150,1),(151,1),(171,1)}
       165:{1,2,3}:{(151,1)}
       166:{1,4,7}:{(152,1),(153,1),(168,1),(172,1)}
       167:{4,5,7}:{(155,1),(156,1),(170,1)}
       168:{1,5,7}:{(157,1),(158,1),(166,1),(173,1)}
       169:{2,6,7}:{(158,1),(159,1),(173,1)}
       170:{4,6,7}:{(161,1),(167,1)}
       171:{1,2,6}:{(162,1),(164,1),(174,1)}
       172:{1,3,7}:{(162,1),(163,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1311 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(13,1),(18,1),(20,1),(52,1)}
         1:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(132,1)}
         2:{1,2,5}:{(0,1),(7,1),(26,1),(72,1),(104,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(9,1),(27,1),(33,1),(166,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(114,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(14,1),(15,1),(85,1),(114,1)}
         6:{1,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(18,1),(45,1),(48,1),(51,1),(52,1),(85,1),(90,1)}
         7:{1,3,5}:{(1,1),(2,1),(14,1),(18,1),(81,1),(117,1)}
         8:{1,3,7}:{(1,1),(3,1),(15,1),(147,1),(173,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(44,1),(124,1),(155,1)}
        10:{1,3,6}:{(4,1),(5,1),(21,1),(22,1),(23,1)}
        11:{1,2,5}:{(4,1),(22,1),(24,1),(97,1)}
        12:{1,2,7}:{(4,1),(23,1),(133,1),(187,1)}
        13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(66,1)}
        14:{2,3,5}:{(5,1),(7,1),(22,1),(26,1),(28,1),(59,1),(64,1),(97,1)}
        15:{2,3,7}:{(5,1),(8,1),(23,1),(27,1),(108,1),(133,1),(179,1)}
        16:{1,3,5}:{(6,1),(26,1),(31,1),(64,1),(72,1),(112,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(27,1),(32,1),(33,1),(67,1),(69,1),(108,1),(167,1)}
        18:{1,4}:{(7,1),(28,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(33,1),(34,1),(72,1),(105,1),(136,1),(143,1)}
        20:{1,2,6}:{(9,1),(34,1),(66,1)}
        21:{1,4,6}:{(10,1),(13,1),(35,1),(36,1),(37,1),(77,1)}
        22:{1,3,5}:{(10,1),(11,1),(14,1),(35,1),(37,1),(39,1)}
        23:{1,3,7}:{(10,1),(12,1),(15,1),(36,1),(184,1)}
        24:{1,2,4}:{(11,1),(37,1),(39,1),(78,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(84,1),(118,1)}
        26:{2,5}:{(13,1),(16,1),(35,1)}
        27:{2,4,7}:{(13,1),(15,1),(17,1),(36,1),(44,1),(174,1)}
        28:{2,4}:{(14,1),(18,1),(37,1),(45,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(38,1),(44,1),(46,1),(47,1),(82,1),(88,1),(91,1),(118,1),(126,1)}
        30:{1,3,5,6}:{(16,1),(42,1),(48,1),(49,1),(51,1),(85,1),(93,1),(130,1)}
        31:{1,4,5}:{(16,1),(18,1),(43,1),(48,1),(117,1),(131,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1),(88,1),(172,1),(181,1)}
        33:{1,4,7}:{(18,1),(19,1),(46,1),(52,1),(156,1)}
        34:{1,3,6}:{(19,1),(20,1),(47,1),(52,1),(150,1)}
        35:{1,5}:{(21,1),(26,1)}
        36:{1,4,7}:{(21,1),(23,1),(27,1),(55,1),(180,1)}
        37:{1,4}:{(22,1),(28,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(29,1),(55,1),(57,1),(58,1),(60,1),(103,1),(107,1)}
        39:{1,3}:{(24,1),(59,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(57,1),(60,1),(61,1),(101,1)}
        41:{1,2,6}:{(25,1),(58,1),(137,1)}
        42:{2,5,6}:{(26,1),(30,1),(53,1),(62,1),(63,1),(66,1)}
        43:{2,4,5}:{(26,1),(28,1),(31,1),(54,1),(62,1),(64,1),(97,1)}
        44:{2,5,7}:{(26,1),(27,1),(32,1),(55,1),(66,1),(178,1),(185,1)}
        45:{3,4}:{(28,1),(64,1)}
        46:{2,4,7}:{(28,1),(29,1),(33,1),(57,1),(67,1),(68,1),(144,1)}
        47:{2,3,6}:{(29,1),(34,1),(58,1),(66,1),(68,1),(110,1),(137,1)}
        48:{1,4,6}:{(30,1),(31,1),(62,1),(69,1),(132,1),(146,1)}
        49:{1,3,5,7}:{(30,1),(63,1),(69,1),(70,1),(108,1),(113,1),(145,1)}
        50:{1,4,5,7}:{(31,1),(32,1),(33,1),(65,1),(69,1),(71,1),(72,1),(113,1),(136,1),(164,1),(175,1)}
        51:{1,3,6}:{(32,1),(66,1),(71,1),(110,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(72,1)}
        53:{1,5,6}:{(35,1),(42,1),(73,1),(74,1),(77,1)}
        54:{1,4,5}:{(35,1),(37,1),(43,1),(73,1),(75,1)}
        55:{1,5,7}:{(35,1),(36,1),(44,1),(77,1),(183,1),(188,1)}
        56:{1,3,4}:{(37,1),(39,1),(45,1),(75,1),(78,1)}
        57:{1,4,7}:{(37,1),(38,1),(46,1),(80,1),(127,1)}
        58:{1,3,6}:{(38,1),(41,1),(47,1),(77,1),(80,1)}
        59:{2,3}:{(39,1),(78,1),(81,1)}
        60:{1,3,7}:{(39,1),(40,1),(82,1),(83,1),(188,1)}
        61:{1,2,4,6}:{(40,1),(41,1),(80,1),(83,1),(84,1),(122,1),(127,1)}
        62:{2,4,6}:{(42,1),(43,1),(48,1),(73,1),(85,1),(86,1),(114,1)}
        63:{2,5,7}:{(42,1),(49,1),(74,1),(86,1),(87,1)}
        64:{3,5}:{(43,1),(45,1),(85,1)}
        65:{2,4,5,7}:{(43,1),(44,1),(46,1),(50,1),(76,1),(86,1),(88,1),(89,1),(91,1),(118,1),(129,1),(131,1),(154,1),(158,1),(169,1)}
        66:{2,6}:{(44,1),(51,1),(77,1)}
        67:{3,4,7}:{(45,1),(46,1),(88,1),(90,1),(157,1),(158,1)}
        68:{2,4,6}:{(46,1),(47,1),(52,1),(80,1),(90,1),(91,1)}
        69:{1,4,7}:{(48,1),(49,1),(86,1),(147,1),(158,1)}
        70:{1,3,6,7}:{(49,1),(51,1),(87,1),(92,1),(128,1),(181,1)}
        71:{1,4,6}:{(50,1),(51,1),(89,1),(93,1),(150,1)}
        72:{1,5}:{(52,1),(91,1)}
        73:{1,4,6}:{(53,1),(54,1),(62,1),(94,1),(95,1)}
        74:{1,5,7}:{(53,1),(63,1),(95,1),(96,1)}
        75:{1,3,5}:{(54,1),(56,1),(64,1),(94,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(57,1),(65,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(161,1)}
        77:{1,6}:{(55,1),(66,1)}
        78:{2,4}:{(56,1),(59,1),(97,1),(100,1)}
        79:{1,3,4,7}:{(56,1),(57,1),(60,1),(67,1),(98,1),(101,1),(102,1),(161,1),(176,1)}
        80:{1,4,6}:{(57,1),(58,1),(68,1),(103,1)}
        81:{1,3}:{(59,1),(100,1),(104,1)}
        82:{2,3,7}:{(59,1),(60,1),(101,1),(105,1),(106,1),(176,1),(185,1)}
        83:{1,3,6}:{(60,1),(61,1),(106,1),(107,1),(186,1)}
        84:{1,2,5}:{(61,1),(103,1),(107,1),(140,1),(187,1)}
        85:{3,6}:{(62,1),(64,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(95,1),(108,1),(133,1)}
        87:{2,6,7}:{(63,1),(66,1),(70,1),(96,1),(185,1)}
        88:{3,5,7}:{(64,1),(65,1),(67,1),(108,1),(110,1),(112,1),(165,1),(176,1)}
        89:{2,4,6}:{(65,1),(66,1),(71,1),(99,1),(110,1),(111,1),(137,1),(146,1)}
        90:{3,4,6}:{(67,1),(68,1),(110,1),(112,1),(146,1)}
        91:{2,5}:{(68,1),(72,1),(103,1),(112,1)}
        92:{1,4,6,7}:{(69,1),(70,1),(71,1),(109,1),(113,1),(159,1),(175,1)}
        93:{1,5,6}:{(71,1),(72,1),(111,1),(113,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(114,1),(115,1)}
        95:{1,4,7}:{(73,1),(74,1),(86,1),(115,1)}
        96:{1,6,7}:{(74,1),(77,1),(87,1),(188,1)}
        97:{2,5}:{(75,1),(78,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(75,1),(76,1),(79,1),(88,1),(115,1),(118,1),(119,1),(123,1)}
        99:{1,4,6}:{(76,1),(77,1),(89,1),(119,1),(120,1)}
       100:{1,4}:{(78,1),(81,1),(117,1)}
       101:{2,4,7}:{(78,1),(79,1),(82,1),(118,1),(121,1),(122,1)}
       102:{1,3,4,6}:{(79,1),(80,1),(83,1),(90,1),(119,1),(122,1),(123,1),(127,1),(152,1),(157,1),(171,1)}
       103:{1,5}:{(80,1),(91,1)}
       104:{1,2}:{(81,1)}
       105:{1,3,7}:{(81,1),(82,1),(121,1),(124,1),(125,1)}
       106:{2,3,6}:{(82,1),(83,1),(122,1),(125,1),(126,1),(171,1),(182,1)}
       107:{1,3,5}:{(83,1),(84,1),(126,1),(127,1),(183,1),(184,1)}
       108:{3,7}:{(85,1),(86,1)}
       109:{2,4,6,7}:{(86,1),(87,1),(89,1),(92,1),(116,1),(128,1),(129,1),(148,1),(158,1),(169,1)}
       110:{3,6}:{(88,1),(89,1)}
       111:{2,5,6}:{(89,1),(91,1),(93,1),(120,1),(129,1),(130,1)}
       112:{3,5}:{(90,1),(91,1),(131,1)}
       113:{1,5,7}:{(92,1),(93,1),(129,1)}
       114:{2,6}:{(94,1),(97,1),(132,1),(133,1)}
       115:{1,3,7}:{(94,1),(95,1),(108,1),(133,1)}
       116:{1,4,6,7}:{(95,1),(96,1),(99,1),(109,1),(134,1),(135,1),(161,1)}
       117:{1,5}:{(97,1),(100,1),(132,1)}
       118:{2,5,7}:{(97,1),(98,1),(101,1),(133,1),(136,1),(137,1),(140,1)}
       119:{1,3,6}:{(98,1),(99,1),(110,1),(137,1)}
       120:{1,5,6}:{(99,1),(103,1),(111,1),(135,1)}
       121:{1,4,7}:{(100,1),(101,1),(105,1),(136,1),(139,1)}
       122:{2,4,6}:{(101,1),(102,1),(106,1),(137,1),(139,1),(140,1),(144,1)}
       123:{1,3,5}:{(102,1),(103,1),(112,1),(140,1),(141,1),(165,1)}
       124:{1,2,7}:{(104,1),(105,1),(142,1),(185,1)}
       125:{1,3,6}:{(105,1),(106,1),(139,1),(142,1),(143,1)}
       126:{2,3,5}:{(106,1),(107,1),(140,1),(143,1),(144,1),(165,1),(178,1),(179,1)}
       127:{1,4}:{(107,1),(144,1)}
       128:{3,6,7}:{(108,1),(109,1),(110,1),(145,1),(176,1)}
       129:{2,5,7}:{(109,1),(111,1),(113,1),(135,1),(145,1)}
       130:{3,5,6}:{(110,1),(111,1),(112,1),(145,1),(146,1)}
       131:{4,5}:{(112,1),(146,1)}
       132:{1,6}:{(114,1),(117,1),(147,1)}
       133:{2,7}:{(114,1),(115,1),(147,1)}
       134:{1,3,6,7}:{(115,1),(116,1),(119,1),(128,1),(148,1),(149,1)}
       135:{1,5,7}:{(116,1),(120,1),(129,1)}
       136:{1,5,7}:{(117,1),(118,1),(121,1),(147,1),(150,1),(153,1)}
       137:{2,6}:{(118,1),(119,1),(150,1)}
       138:{1,3,5,6}:{(119,1),(120,1),(123,1),(130,1),(149,1),(151,1),(152,1),(171,1)}
       139:{1,4,6}:{(121,1),(122,1),(125,1),(150,1),(153,1),(156,1)}
       140:{2,5}:{(122,1),(123,1),(153,1)}
       141:{1,4,5}:{(123,1),(127,1),(131,1),(152,1),(154,1),(183,1)}
       142:{1,2,6}:{(124,1),(125,1),(155,1),(182,1)}
       143:{1,3,5}:{(125,1),(126,1),(153,1),(155,1),(156,1),(173,1)}
       144:{2,4}:{(126,1),(127,1),(156,1),(157,1)}
       145:{3,5,7}:{(128,1),(129,1),(130,1),(158,1)}
       146:{4,6}:{(130,1),(131,1),(158,1)}
       147:{1,7}:{(132,1),(133,1)}
       148:{2,6,7}:{(133,1),(134,1),(137,1),(159,1),(160,1)}
       149:{1,3,5,7}:{(134,1),(135,1),(138,1),(145,1),(160,1),(161,1),(176,1)}
       150:{1,6}:{(136,1),(137,1)}
       151:{2,5,6}:{(137,1),(138,1),(140,1),(160,1),(162,1),(163,1)}
       152:{1,4,6}:{(138,1),(141,1),(146,1),(161,1),(163,1),(186,1)}
       153:{1,5}:{(139,1),(140,1)}
       154:{2,4,5}:{(140,1),(141,1),(144,1),(163,1),(164,1),(165,1),(178,1)}
       155:{1,2,5}:{(142,1),(143,1),(166,1),(178,1)}
       156:{1,4}:{(143,1),(144,1)}
       157:{3,4}:{(144,1),(165,1)}
       158:{4,7}:{(145,1),(146,1)}
       159:{1,6,7}:{(147,1),(148,1),(150,1),(168,1)}
       160:{2,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       161:{1,4,7}:{(149,1),(152,1),(158,1),(169,1),(188,1)}
       162:{1,5,6}:{(150,1),(151,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1),(171,1),(182,1)}
       164:{1,4,5}:{(153,1),(154,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(154,1),(157,1),(171,1)}
       166:{1,2,4}:{(155,1),(156,1),(173,1),(174,1)}
       167:{1,3,4}:{(156,1),(157,1),(172,1),(173,1),(174,1)}
       168:{1,5,7}:{(159,1),(160,1),(162,1),(175,1)}
       169:{2,4,7}:{(160,1),(161,1),(163,1),(175,1),(176,1),(185,1)}
       170:{1,4,6}:{(162,1),(163,1),(164,1),(175,1),(177,1)}
       171:{3,6}:{(163,1),(165,1),(176,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(177,1),(178,1)}
       173:{1,3}:{(166,1),(179,1)}
       174:{2,4}:{(167,1),(178,1),(179,1),(180,1)}
       175:{1,4,7}:{(168,1),(169,1),(170,1),(181,1)}
       176:{3,7}:{(169,1),(171,1)}
       177:{1,3,6}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
       178:{2,5}:{(172,1),(174,1),(182,1),(183,1)}
       179:{2,3}:{(173,1),(174,1),(184,1)}
       180:{1,4}:{(174,1),(183,1),(184,1)}
       181:{1,3,7}:{(175,1),(176,1),(177,1),(185,1)}
       182:{2,6}:{(177,1),(178,1),(185,1),(186,1)}
       183:{1,5}:{(178,1),(180,1),(186,1)}
       184:{1,3}:{(179,1),(180,1),(187,1)}
       185:{2,7}:{(181,1),(182,1),(188,1)}
       186:{1,6}:{(182,1),(183,1),(188,1)}
       187:{1,2}:{(184,1)}
       188:{1,7}:{(185,1),(186,1)}

1312 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1313 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1314 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1315 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1316 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1317 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1318 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(133,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(104,1),(113,1),(162,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(69,1),(118,1),(123,1),(127,1),(159,1),(169,1),(173,1),(206,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(48,1),(77,1),(93,1),(130,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(77,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(187,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(46,1),(92,1),(133,1),(143,1),(148,1),(154,1),(187,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(95,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(30,1),(53,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(54,1),(158,1),(169,1),(204,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(104,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(28,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(28,1),(29,1),(171,1),(181,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(29,1),(30,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(28,1),(31,1),(206,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(29,1),(31,1),(32,1),(64,1),(68,1),(117,1),(123,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(33,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(35,1),(36,1),(77,1),(81,1),(93,1),(132,1),(143,1),(150,1),(185,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(182,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(43,1),(77,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(130,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(46,1),(89,1)}
        27:{1,3,4,5}:{(17,1),(45,1),(95,1),(153,1),(224,1),(231,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(46,1),(187,1),(196,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(46,1),(47,1),(148,1),(155,1)}
        30:{1,3,6,7}:{(16,1),(44,1),(47,1),(48,1),(145,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(46,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(47,1),(50,1),(51,1),(90,1),(95,1),(100,1),(145,1)}
        33:{1,4,5,7}:{(19,1),(22,1),(52,1),(53,1),(66,1)}
        34:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(53,1),(54,1),(56,1),(101,1)}
        35:{1,2,4,5,6}:{(20,1),(52,1),(55,1),(102,1),(107,1),(119,1),(158,1),(164,1),(169,1),(175,1),(204,1),(210,1),(212,1),(216,1),(244,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(55,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(157,1),(204,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(52,1),(59,1),(64,1),(102,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(54,1),(61,1),(62,1),(70,1),(109,1),(112,1),(116,1),(117,1),(157,1),(172,1),(215,1),(218,1),(235,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(28,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(30,1),(66,1),(71,1),(118,1)}
        45:{2,4,5}:{(27,1),(31,1),(68,1),(69,1),(123,1),(180,1)}
        46:{2,4,7}:{(28,1),(29,1),(31,1),(71,1)}
        47:{1,3,5,7}:{(29,1),(30,1),(32,1),(66,1),(71,1),(72,1),(126,1)}
        48:{1,2,6,7}:{(30,1),(72,1),(173,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(70,1),(73,1),(117,1),(128,1),(180,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(71,1)}
        51:{1,2,5,6}:{(32,1),(72,1),(74,1),(123,1),(173,1)}
        52:{1,4,5,6}:{(33,1),(38,1),(75,1),(90,1),(141,1),(224,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(39,1),(75,1),(77,1)}
        54:{2,4,6,7}:{(34,1),(37,1),(77,1),(78,1),(81,1),(129,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(79,1),(80,1),(182,1),(188,1),(194,1),(230,1),(231,1)}
        56:{1,3,4,7}:{(36,1),(79,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(77,1),(80,1),(81,1),(82,1),(185,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(78,1),(82,1),(83,1),(182,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(77,1),(85,1),(86,1),(87,1),(231,1),(233,1),(242,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(78,1),(87,1),(88,1),(94,1),(97,1),(134,1),(139,1),(141,1),(145,1),(150,1),(182,1),(187,1),(194,1),(196,1),(199,1),(223,1),(232,1),(241,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(48,1),(88,1),(93,1),(94,1),(98,1),(146,1),(150,1),(192,1),(221,1),(241,1)}
        68:{2,3,5}:{(45,1),(49,1),(95,1),(231,1),(233,1)}
        69:{1,4,5}:{(45,1),(50,1),(95,1),(203,1)}
        70:{2,3,4,7}:{(46,1),(49,1),(91,1),(97,1),(155,1),(196,1),(202,1)}
        71:{1,4,7}:{(46,1),(47,1),(50,1)}
        72:{1,2,5,7}:{(47,1),(48,1),(51,1),(98,1),(148,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(153,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,5,6}:{(52,1),(53,1),(59,1),(101,1),(102,1),(236,1)}
        76:{1,3,4,5,7}:{(53,1),(56,1),(60,1),(101,1),(103,1),(106,1),(114,1),(160,1),(171,1),(209,1),(236,1)}
        77:{2,5,7}:{(53,1),(54,1),(102,1),(104,1)}
        78:{1,4,6,7}:{(54,1),(58,1),(104,1),(110,1),(158,1)}
        79:{1,3,4,6}:{(55,1),(56,1),(106,1),(107,1),(175,1),(215,1)}
        80:{2,3,5,6}:{(55,1),(57,1),(102,1),(107,1),(108,1),(157,1),(163,1),(204,1),(210,1),(213,1)}
        81:{2,4,7}:{(56,1),(57,1),(107,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(104,1),(108,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(204,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(102,1),(112,1),(113,1),(117,1),(157,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(104,1),(113,1),(114,1),(115,1),(171,1),(219,1),(236,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(125,1),(167,1),(169,1),(172,1),(173,1),(204,1),(218,1),(235,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(70,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(71,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(126,1),(174,1),(214,1),(234,1)}
        95:{1,3,5}:{(68,1),(69,1),(73,1),(123,1),(240,1)}
        96:{1,2,4,5}:{(69,1),(74,1),(123,1),(124,1),(180,1)}
        97:{1,3,4,7}:{(70,1),(71,1),(73,1),(120,1),(125,1),(126,1),(181,1),(220,1)}
        98:{1,2,4,7}:{(71,1),(72,1),(74,1),(125,1),(126,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(180,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,6}:{(75,1),(76,1),(84,1),(129,1),(141,1),(182,1),(194,1)}
       102:{2,5,6}:{(75,1),(77,1),(129,1),(130,1),(242,1)}
       103:{2,4,5,7}:{(76,1),(77,1),(81,1),(129,1),(131,1),(132,1),(135,1),(185,1),(226,1),(242,1)}
       104:{1,5,7}:{(77,1),(78,1),(130,1)}
       105:{1,2,4,6,7}:{(78,1),(83,1),(88,1),(133,1),(134,1),(140,1),(154,1),(183,1),(187,1),(197,1),(232,1)}
       106:{1,3,4,5}:{(79,1),(135,1),(188,1),(200,1),(229,1),(231,1)}
       107:{2,4,6}:{(79,1),(80,1),(81,1),(135,1),(137,1)}
       108:{1,3,5,6}:{(80,1),(82,1),(130,1),(137,1),(138,1),(182,1),(188,1),(191,1)}
       109:{2,3,4,7}:{(81,1),(131,1),(136,1),(139,1),(193,1),(196,1),(226,1)}
       110:{1,4,7}:{(81,1),(82,1),(137,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(138,1),(140,1),(185,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(130,1),(141,1),(142,1),(145,1),(182,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(187,1),(200,1),(224,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(242,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(134,1),(144,1),(155,1),(193,1),(194,1),(198,1),(222,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(221,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,5}:{(95,1),(99,1)}
       124:{1,3,5}:{(96,1),(100,1),(152,1),(153,1)}
       125:{2,4,7}:{(97,1),(99,1),(148,1),(155,1)}
       126:{1,3,7}:{(98,1),(100,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(154,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(155,1),(156,1)}
       129:{2,4,6}:{(101,1),(102,1),(103,1),(157,1),(158,1),(204,1)}
       130:{1,5,6}:{(102,1),(104,1),(158,1),(244,1)}
       131:{2,3,5,7}:{(103,1),(109,1),(157,1),(160,1),(163,1),(171,1)}
       132:{1,4,5,7}:{(103,1),(104,1),(110,1),(158,1),(160,1),(164,1),(237,1),(244,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(115,1),(159,1),(162,1),(240,1)}
       134:{1,3,6,7}:{(105,1),(116,1),(162,1),(168,1),(181,1),(205,1),(217,1)}
       135:{2,4,5}:{(106,1),(107,1),(163,1),(164,1),(210,1),(239,1)}
       136:{2,3,4,6}:{(107,1),(109,1),(157,1),(163,1),(165,1),(213,1),(215,1),(235,1),(239,1)}
       137:{1,4,6}:{(107,1),(108,1),(110,1),(164,1)}
       138:{1,2,5,6}:{(108,1),(111,1),(166,1),(204,1),(210,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(160,1),(165,1),(167,1),(168,1),(214,1),(237,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(166,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(204,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(162,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(234,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,5}:{(123,1),(127,1),(179,1),(240,1)}
       152:{2,3,5}:{(123,1),(124,1),(128,1),(179,1),(180,1)}
       153:{1,3,4}:{(124,1),(180,1)}
       154:{1,2,4,7}:{(125,1),(127,1),(176,1),(181,1),(220,1)}
       155:{2,3,7}:{(125,1),(126,1),(128,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(181,1)}
       157:{2,3,6}:{(129,1),(131,1),(182,1),(194,1)}
       158:{1,4,6}:{(129,1),(130,1),(132,1),(182,1)}
       159:{1,2,5,6}:{(130,1),(133,1),(142,1),(183,1),(184,1),(197,1),(242,1)}
       160:{1,3,5,7}:{(131,1),(132,1),(139,1),(182,1),(185,1),(188,1)}
       161:{1,2,4,5,7}:{(132,1),(133,1),(140,1),(143,1),(183,1),(185,1),(186,1),(187,1),(189,1),(224,1),(226,1),(242,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(144,1),(184,1),(187,1)}
       163:{2,3,5}:{(135,1),(136,1),(188,1),(231,1),(242,1)}
       164:{1,4,5}:{(135,1),(137,1),(188,1),(243,1)}
       165:{1,3,4,6}:{(136,1),(137,1),(139,1),(182,1),(188,1),(190,1),(191,1),(229,1),(230,1),(241,1),(243,1)}
       166:{1,2,4,6}:{(137,1),(138,1),(140,1),(189,1),(190,1),(191,1)}
       167:{2,4,7}:{(139,1),(185,1),(190,1),(193,1)}
       168:{1,3,7}:{(140,1),(191,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(184,1),(194,1),(195,1),(198,1),(222,1),(231,1),(233,1),(242,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(187,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(154,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(155,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(153,1),(196,1),(199,1),(202,1)}
       179:{1,3,5}:{(151,1),(152,1),(156,1),(203,1)}
       180:{2,4}:{(152,1),(153,1),(203,1)}
       181:{1,3,7}:{(154,1),(155,1),(156,1)}
       182:{1,3,6}:{(157,1),(158,1),(160,1),(204,1)}
       183:{1,2,4,6}:{(158,1),(159,1),(161,1),(169,1),(204,1),(205,1),(206,1),(235,1)}
       184:{1,3,5,6}:{(159,1),(162,1),(170,1),(205,1),(206,1),(217,1),(236,1),(240,1)}
       185:{2,5,7}:{(160,1),(167,1),(204,1),(210,1)}
       186:{1,3,5,7}:{(161,1),(168,1),(171,1),(205,1),(208,1),(209,1),(211,1),(236,1)}
       187:{1,4,7}:{(162,1),(172,1),(206,1)}
       188:{1,3,5}:{(163,1),(164,1),(165,1),(210,1),(244,1)}
       189:{1,2,4,5}:{(164,1),(166,1),(210,1),(211,1),(239,1)}
       190:{2,4,6}:{(165,1),(167,1),(204,1),(210,1),(213,1),(239,1)}
       191:{1,3,6}:{(166,1),(168,1),(211,1),(213,1)}
       192:{1,2,4,7}:{(167,1),(207,1),(212,1),(214,1),(237,1)}
       193:{2,3,7}:{(167,1),(168,1),(213,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(206,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(181,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(180,1),(218,1),(220,1)}
       203:{1,4}:{(179,1),(180,1)}
       204:{2,6}:{(182,1),(185,1)}
       205:{1,3,6}:{(183,1),(186,1),(194,1),(222,1)}
       206:{1,4,6}:{(184,1),(187,1),(195,1),(224,1)}
       207:{1,2,5,7}:{(185,1),(192,1),(221,1),(225,1),(227,1)}
       208:{2,3,5,7}:{(185,1),(186,1),(193,1),(222,1),(225,1),(226,1),(228,1),(242,1)}
       209:{1,3,4,7}:{(186,1),(187,1),(196,1),(223,1),(226,1),(229,1)}
       210:{2,5}:{(188,1),(190,1)}
       211:{1,3,5}:{(189,1),(191,1),(228,1),(229,1)}
       212:{1,2,4,6}:{(190,1),(192,1),(221,1),(227,1),(230,1),(241,1),(243,1)}
       213:{2,3,6}:{(190,1),(191,1),(193,1),(228,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(224,1),(231,1),(233,1),(242,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,6}:{(204,1),(207,1),(234,1)}
       222:{2,3,6}:{(204,1),(205,1),(208,1),(234,1),(235,1)}
       223:{1,3,4,6}:{(205,1),(206,1),(209,1),(215,1),(235,1),(236,1)}
       224:{1,4,5}:{(206,1),(216,1),(236,1),(240,1)}
       225:{1,3,5,7}:{(207,1),(208,1),(214,1),(234,1),(237,1),(238,1),(244,1)}
       226:{2,4,7}:{(208,1),(209,1),(235,1),(237,1),(239,1)}
       227:{1,2,5}:{(210,1),(212,1),(238,1),(244,1)}
       228:{2,3,5}:{(210,1),(211,1),(213,1),(238,1),(239,1)}
       229:{1,3,4}:{(211,1),(239,1)}
       230:{1,3,6}:{(212,1),(213,1),(214,1),(238,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,6}:{(221,1),(222,1),(225,1),(241,1)}
       235:{2,4,6}:{(222,1),(223,1),(226,1),(241,1),(242,1)}
       236:{1,3,5}:{(223,1),(224,1),(231,1),(242,1)}
       237:{1,4,7}:{(225,1),(226,1),(241,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(230,1),(243,1)}
       239:{2,4}:{(228,1),(229,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4,6}:{(234,1),(235,1),(237,1),(244,1)}
       242:{2,5}:{(235,1),(236,1),(244,1)}
       243:{1,4}:{(238,1),(239,1)}
       244:{1,5}:{(241,1),(242,1)}

1319 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1320 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1321 :   0:{1,2,6,7}:{(3,1),(4,1),(158,1),(246,1),(303,1),(318,1)}
         1:{1,2,5,6}:{(4,1),(5,1),(6,1),(82,1),(138,1),(158,1),(162,1),(224,1),(241,1),(303,1)}
         2:{1,2,4,5}:{(6,1),(7,1),(29,1),(33,1),(82,1),(87,1),(139,1),(155,1),(224,1),(235,1),(307,1)}
         3:{1,3,6,7}:{(0,1),(10,1),(12,1),(13,1),(114,1),(262,1),(339,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(13,1),(14,1),(115,1),(177,1),(206,1),(282,1)}
         5:{1,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(16,1),(47,1),(52,1),(98,1),(114,1),(180,1),(262,1),(267,1),(339,1),(393,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(16,1),(53,1),(123,1),(200,1),(277,1)}
         7:{1,3,5}:{(2,1),(16,1),(17,1),(18,1),(183,1),(278,1)}
         8:{1,2,6,7}:{(19,1),(20,1),(219,1),(247,1),(302,1),(318,1)}
         9:{1,2,5,6}:{(20,1),(21,1),(22,1),(84,1),(136,1),(163,1),(219,1),(223,1),(241,1),(247,1)}
        10:{2,3,6,7}:{(3,1),(19,1),(23,1),(24,1),(146,1),(158,1),(219,1),(318,1),(319,1),(375,1)}
        11:{2,3,5,6}:{(5,1),(21,1),(24,1),(25,1),(31,1),(65,1),(67,1),(71,1),(82,1),(136,1),(146,1),(158,1),(219,1),(241,1),(242,1),(316,1),(319,1),(374,1),(380,1)}
        12:{1,4,6,7}:{(3,1),(23,1),(26,1),(27,1),(76,1),(369,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(133,1),(220,1)}
        14:{1,2,4,7}:{(4,1),(6,1),(27,1),(28,1),(78,1),(165,1),(243,1),(315,1)}
        15:{1,4,6}:{(5,1),(25,1),(27,1),(29,1),(307,1)}
        16:{1,3,6}:{(6,1),(7,1),(28,1),(31,1),(316,1)}
        17:{1,3,4}:{(7,1),(33,1),(307,1),(317,1)}
        18:{2,3,5}:{(7,1),(31,1),(33,1),(34,1),(82,1),(155,1),(156,1)}
        19:{1,3,6,7}:{(8,1),(10,1),(36,1),(37,1),(174,1),(203,1),(288,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(37,1),(38,1),(117,1),(175,1),(265,1),(282,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(37,1),(39,1),(40,1),(54,1),(91,1),(96,1),(120,1),(174,1),(203,1),(208,1),(288,1),(358,1)}
        22:{1,2,4,6}:{(9,1),(35,1),(38,1),(39,1),(40,1),(97,1),(258,1),(277,1),(333,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(36,1),(41,1),(42,1),(43,1),(103,1),(353,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(13,1),(37,1),(42,1),(43,1),(50,1),(94,1),(104,1),(115,1),(175,1),(282,1),(350,1),(396,1)}
        25:{2,4,6}:{(11,1),(15,1),(39,1),(43,1),(44,1),(45,1),(284,1),(397,1)}
        26:{1,5,7}:{(12,1),(42,1),(47,1),(393,1)}
        27:{1,4,7}:{(13,1),(15,1),(43,1)}
        28:{1,3,7}:{(14,1),(16,1),(50,1),(350,1)}
        29:{1,4,5}:{(15,1),(44,1),(52,1),(180,1),(393,1)}
        30:{1,3,4,6}:{(15,1),(16,1),(17,1),(45,1),(49,1),(52,1),(53,1),(114,1)}
        31:{2,3,6}:{(16,1),(18,1),(50,1),(53,1),(54,1),(200,1)}
        32:{1,3,4,5}:{(17,1),(52,1),(55,1),(56,1),(101,1),(111,1),(190,1),(211,1),(278,1),(293,1)}
        33:{2,4}:{(17,1),(18,1),(57,1)}
        34:{1,3,5}:{(18,1),(54,1),(57,1),(58,1),(120,1),(125,1)}
        35:{1,2,4,5}:{(22,1),(59,1),(63,1),(127,1),(136,1),(163,1),(216,1),(235,1),(251,1),(294,1),(297,1)}
        36:{1,4,6,7}:{(19,1),(23,1),(60,1),(61,1),(130,1),(326,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(24,1),(60,1),(61,1),(62,1),(79,1),(159,1)}
        38:{1,2,4,7}:{(20,1),(22,1),(61,1),(62,1),(132,1),(299,1),(315,1),(363,1)}
        39:{1,4,6}:{(21,1),(25,1),(61,1),(63,1),(251,1)}
        40:{1,3,6}:{(22,1),(59,1),(62,1),(65,1),(316,1)}
        41:{3,4,6,7}:{(23,1),(66,1),(69,1),(141,1),(146,1),(375,1),(376,1),(411,1)}
        42:{2,5,7}:{(23,1),(26,1),(60,1),(66,1),(67,1),(380,1)}
        43:{2,4,7}:{(24,1),(25,1),(27,1),(61,1),(69,1),(411,1)}
        44:{2,4,5}:{(25,1),(29,1),(63,1),(71,1),(82,1),(136,1),(380,1),(412,1)}
        45:{3,4,6}:{(25,1),(69,1),(71,1),(146,1),(316,1),(317,1)}
        46:{2,3,4}:{(33,1),(73,1),(74,1),(156,1),(245,1),(317,1)}
        47:{1,5,6}:{(26,1),(67,1),(76,1)}
        48:{1,4,5,7}:{(26,1),(27,1),(29,1),(68,1),(76,1),(77,1),(220,1)}
        49:{1,3,4,7}:{(27,1),(28,1),(30,1),(69,1),(77,1),(78,1)}
        50:{2,3,7}:{(28,1),(31,1),(78,1),(79,1),(243,1)}
        51:{1,4,5,6}:{(29,1),(70,1),(76,1),(80,1),(81,1),(223,1),(234,1),(311,1),(328,1),(384,1)}
        52:{1,3,5}:{(29,1),(30,1),(71,1),(82,1)}
        53:{2,4,6}:{(30,1),(31,1),(33,1),(78,1),(82,1),(83,1),(158,1)}
        54:{1,3,6}:{(31,1),(34,1),(79,1),(83,1),(84,1)}
        55:{1,3,4,6}:{(32,1),(81,1),(85,1),(86,1),(143,1),(154,1),(234,1),(316,1)}
        56:{2,4,5}:{(32,1),(33,1),(73,1),(82,1),(86,1),(87,1),(155,1),(245,1),(324,1)}
        57:{1,4}:{(33,1),(34,1)}
        58:{1,2,5}:{(34,1),(84,1),(88,1),(155,1)}
        59:{1,3,5}:{(35,1),(40,1),(89,1),(90,1),(278,1),(331,1)}
        60:{1,5,7}:{(36,1),(42,1),(91,1),(358,1)}
        61:{1,4,7}:{(37,1),(39,1),(43,1)}
        62:{1,3,7}:{(38,1),(40,1),(94,1),(350,1)}
        63:{1,4,5}:{(39,1),(44,1),(96,1),(120,1),(358,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(89,1),(93,1),(96,1),(97,1),(174,1)}
        65:{2,3,6}:{(40,1),(90,1),(94,1),(97,1),(98,1),(333,1)}
        66:{3,5,7}:{(41,1),(42,1),(99,1),(100,1),(399,1)}
        67:{2,5,6}:{(42,1),(47,1),(91,1),(99,1),(103,1)}
        68:{2,4,5,7}:{(42,1),(43,1),(44,1),(48,1),(92,1),(100,1),(103,1),(104,1),(115,1),(175,1)}
        69:{3,4,7}:{(43,1),(45,1),(104,1),(350,1)}
        70:{2,4,5,6}:{(44,1),(51,1),(95,1),(103,1),(106,1),(107,1),(119,1),(179,1),(184,1),(189,1),(272,1),(277,1),(346,1),(355,1),(397,1),(402,1)}
        71:{3,5}:{(44,1),(45,1)}
        72:{2,3,4,6}:{(45,1),(46,1),(53,1),(97,1),(105,1),(108,1),(109,1),(110,1),(168,1),(189,1),(192,1),(198,1),(254,1),(284,1),(286,1),(351,1),(353,1),(389,1)}
        73:{2,3,5}:{(46,1),(56,1),(110,1),(111,1),(278,1)}
        74:{1,3,4}:{(46,1),(57,1),(111,1),(112,1),(125,1),(183,1),(270,1)}
        75:{1,5,6,7}:{(47,1),(102,1),(113,1),(345,1),(403,1)}
        76:{1,4,6}:{(47,1),(48,1),(103,1),(114,1),(262,1)}
        77:{1,3,5,7}:{(48,1),(49,1),(52,1),(104,1),(114,1),(115,1)}
        78:{2,4,7}:{(49,1),(50,1),(53,1),(115,1),(116,1)}
        79:{1,3,7}:{(50,1),(54,1),(116,1),(117,1)}
        80:{1,4,5,7}:{(51,1),(106,1),(113,1),(118,1),(265,1),(276,1),(345,1)}
        81:{1,3,5,6}:{(51,1),(52,1),(55,1),(107,1),(114,1),(118,1),(119,1),(293,1),(360,1)}
        82:{2,5}:{(52,1),(53,1),(120,1)}
        83:{1,4,6}:{(53,1),(54,1),(57,1),(116,1),(120,1),(203,1)}
        84:{1,2,6}:{(54,1),(58,1),(117,1),(200,1)}
        85:{1,3,4,7}:{(55,1),(118,1),(122,1),(188,1),(199,1),(276,1),(350,1)}
        86:{2,4,6}:{(55,1),(56,1),(110,1),(119,1),(122,1),(123,1),(200,1)}
        87:{1,4,5}:{(56,1),(57,1),(111,1),(120,1),(123,1),(270,1),(344,1)}
        88:{1,2,4}:{(57,1),(58,1),(112,1),(125,1)}
        89:{1,3,4}:{(59,1),(127,1),(251,1),(317,1)}
        90:{2,3,5}:{(59,1),(65,1),(127,1),(128,1),(136,1),(297,1),(298,1)}
        91:{1,5,6}:{(60,1),(67,1),(130,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(63,1),(68,1),(130,1),(131,1),(159,1)}
        93:{1,3,4,7}:{(61,1),(62,1),(64,1),(69,1),(131,1),(132,1)}
        94:{2,3,7}:{(62,1),(65,1),(132,1),(133,1),(363,1)}
        95:{1,4,5,6}:{(63,1),(70,1),(130,1),(134,1),(135,1),(162,1),(234,1),(311,1),(371,1),(410,1)}
        96:{1,3,5}:{(63,1),(64,1),(71,1),(136,1)}
        97:{2,4,6}:{(64,1),(65,1),(127,1),(132,1),(136,1),(137,1),(219,1)}
        98:{1,3,6}:{(65,1),(128,1),(133,1),(137,1),(138,1)}
        99:{3,5,6}:{(66,1),(67,1),(141,1),(146,1)}
       100:{4,5,7}:{(66,1),(141,1),(411,1),(412,1)}
       101:{3,4,5}:{(71,1),(143,1),(144,1),(317,1),(378,1),(412,1)}
       102:{2,5,6,7}:{(67,1),(75,1),(129,1),(140,1),(145,1),(310,1),(373,1),(415,1)}
       103:{2,4,6}:{(67,1),(68,1),(76,1),(130,1),(141,1),(146,1),(158,1),(219,1)}
       104:{3,5,7}:{(68,1),(69,1),(71,1),(146,1)}
       105:{2,3,4,7}:{(69,1),(72,1),(78,1),(132,1),(147,1),(148,1),(153,1),(233,1),(239,1),(295,1),(320,1),(323,1),(377,1),(406,1)}
       106:{2,4,5,7}:{(70,1),(80,1),(134,1),(145,1),(149,1),(161,1),(222,1),(228,1),(233,1),(310,1),(315,1),(373,1),(411,1)}
       107:{3,5,6}:{(70,1),(71,1),(143,1),(146,1),(149,1),(316,1),(378,1),(414,1)}
       108:{2,3,5}:{(71,1),(72,1),(82,1),(136,1),(144,1),(151,1),(324,1),(378,1),(380,1),(407,1)}
       109:{1,3,4,6}:{(72,1),(74,1),(83,1),(137,1),(148,1),(151,1),(152,1),(154,1),(164,1),(213,1),(225,1),(234,1),(237,1),(251,1),(296,1),(307,1),(309,1),(316,1),(317,1),(326,1),(369,1),(376,1),(405,1)}
       110:{2,3,6}:{(73,1),(86,1),(153,1),(154,1),(316,1)}
       111:{1,3,5}:{(73,1),(74,1),(87,1),(154,1),(155,1)}
       112:{2,4}:{(74,1),(155,1),(156,1)}
       113:{1,4,6,7}:{(75,1),(76,1),(80,1),(145,1),(157,1),(302,1),(384,1)}
       114:{1,3,6}:{(76,1),(77,1),(146,1),(158,1)}
       115:{2,5,7}:{(77,1),(78,1),(82,1),(158,1),(159,1)}
       116:{1,4,7}:{(78,1),(79,1),(83,1),(159,1)}
       117:{1,2,7}:{(79,1),(84,1),(243,1)}
       118:{1,3,5,7}:{(80,1),(81,1),(85,1),(149,1),(157,1),(161,1)}
       119:{2,5,6}:{(81,1),(82,1),(86,1),(158,1),(161,1),(162,1),(324,1),(382,1)}
       120:{1,5}:{(82,1),(83,1)}
       121:{1,2,4,6}:{(83,1),(84,1),(88,1),(152,1),(160,1),(163,1),(164,1),(247,1),(251,1),(294,1),(326,1),(361,1),(405,1)}
       122:{2,4,7}:{(85,1),(86,1),(153,1),(161,1),(165,1),(243,1)}
       123:{1,4,6}:{(86,1),(87,1),(154,1),(162,1),(165,1)}
       124:{1,2,4,5}:{(87,1),(88,1),(155,1),(163,1),(166,1),(167,1),(235,1),(245,1),(251,1),(324,1),(328,1)}
       125:{1,3}:{(88,1),(156,1)}
       126:{1,3,4,5}:{(89,1),(96,1),(101,1),(169,1),(170,1),(190,1),(255,1),(278,1),(337,1),(391,1)}
       127:{2,4}:{(89,1),(90,1),(171,1)}
       128:{1,3,5}:{(90,1),(98,1),(171,1),(172,1),(180,1),(260,1)}
       129:{1,5,6,7}:{(91,1),(102,1),(173,1),(345,1),(420,1)}
       130:{1,4,6}:{(91,1),(92,1),(103,1),(174,1),(203,1)}
       131:{1,3,5,7}:{(92,1),(93,1),(96,1),(104,1),(174,1),(175,1)}
       132:{2,4,7}:{(93,1),(94,1),(97,1),(175,1),(176,1)}
       133:{1,3,7}:{(94,1),(98,1),(176,1),(177,1)}
       134:{1,4,5,7}:{(95,1),(106,1),(173,1),(178,1),(206,1),(276,1),(345,1)}
       135:{1,3,5,6}:{(95,1),(96,1),(107,1),(169,1),(174,1),(178,1),(179,1),(391,1),(419,1)}
       136:{2,5}:{(96,1),(97,1),(180,1)}
       137:{1,4,6}:{(97,1),(98,1),(171,1),(176,1),(180,1),(262,1)}
       138:{1,2,6}:{(98,1),(172,1),(177,1),(333,1)}
       139:{1,2,4}:{(112,1),(182,1),(183,1),(270,1)}
       140:{3,5,6,7}:{(99,1),(102,1),(185,1),(191,1),(271,1),(396,1),(422,1)}
       141:{4,6}:{(99,1),(100,1)}
       142:{3,4,5,7}:{(100,1),(101,1),(104,1),(186,1),(187,1),(188,1),(271,1),(349,1),(399,1),(400,1),(421,1)}
       143:{3,4,6}:{(101,1),(107,1),(188,1),(189,1),(397,1)}
       144:{2,4,5}:{(101,1),(108,1),(189,1),(190,1),(284,1)}
       145:{2,4,6,7}:{(102,1),(103,1),(106,1),(113,1),(173,1),(185,1),(191,1),(202,1),(261,1),(402,1)}
       146:{3,6}:{(103,1),(104,1)}
       147:{2,3,5,7}:{(104,1),(105,1),(108,1),(115,1),(175,1),(187,1),(192,1),(193,1),(356,1),(400,1),(418,1)}
       148:{1,3,4,7}:{(105,1),(109,1),(116,1),(176,1),(193,1),(194,1),(199,1),(205,1),(264,1),(276,1),(289,1),(332,1),(340,1),(343,1),(349,1),(350,1),(416,1)}
       149:{3,5,7}:{(106,1),(107,1),(188,1),(191,1),(350,1)}
       150:{2,3,5,6}:{(107,1),(108,1),(110,1),(119,1),(179,1),(189,1),(192,1),(195,1),(196,1),(254,1),(272,1)}
       151:{1,3,5}:{(108,1),(109,1),(120,1),(180,1),(190,1),(197,1),(278,1),(344,1),(358,1),(393,1),(399,1),(417,1)}
       152:{2,4,6}:{(109,1),(112,1),(194,1),(197,1),(198,1),(200,1),(256,1),(280,1),(284,1),(333,1)}
       153:{2,3,7}:{(110,1),(122,1),(199,1),(350,1)}
       154:{1,3,6}:{(110,1),(111,1),(123,1),(199,1),(200,1)}
       155:{2,5}:{(111,1),(112,1),(200,1)}
       156:{2,3}:{(112,1),(125,1),(183,1)}
       157:{1,3,6,7}:{(113,1),(114,1),(118,1),(191,1),(202,1),(360,1)}
       158:{2,6}:{(114,1),(115,1),(203,1)}
       159:{1,5,7}:{(115,1),(116,1),(120,1),(203,1)}
       160:{1,2,4,7}:{(116,1),(117,1),(121,1),(194,1),(204,1),(205,1),(289,1),(385,1),(416,1)}
       161:{2,5,7}:{(118,1),(119,1),(122,1),(202,1),(206,1)}
       162:{1,5,6}:{(119,1),(120,1),(123,1),(203,1),(206,1),(344,1),(395,1)}
       163:{1,2,5}:{(120,1),(121,1),(197,1),(208,1),(358,1),(417,1)}
       164:{1,3,6}:{(121,1),(125,1),(198,1),(205,1),(208,1),(331,1)}
       165:{1,4,7}:{(122,1),(123,1),(199,1),(206,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(200,1),(207,1),(209,1),(210,1),(277,1),(286,1),(291,1)}
       167:{1,3,5}:{(124,1),(125,1),(201,1),(210,1),(211,1),(278,1)}
       168:{2,3,4}:{(127,1),(212,1),(213,1),(298,1),(317,1),(365,1)}
       169:{1,3,4,6}:{(126,1),(135,1),(143,1),(214,1),(215,1),(234,1),(296,1),(316,1)}
       170:{2,4,5}:{(126,1),(127,1),(136,1),(212,1),(215,1),(216,1),(297,1),(365,1),(407,1)}
       171:{1,4}:{(127,1),(128,1)}
       172:{1,2,5}:{(128,1),(138,1),(217,1),(297,1)}
       173:{1,4,6,7}:{(129,1),(130,1),(134,1),(145,1),(218,1),(246,1),(410,1)}
       174:{1,3,6}:{(130,1),(131,1),(146,1),(219,1)}
       175:{2,5,7}:{(131,1),(132,1),(136,1),(219,1),(220,1)}
       176:{1,4,7}:{(132,1),(133,1),(137,1),(220,1)}
       177:{1,2,7}:{(133,1),(138,1),(363,1)}
       178:{1,3,5,7}:{(134,1),(135,1),(149,1),(214,1),(218,1),(222,1)}
       179:{2,5,6}:{(135,1),(136,1),(215,1),(219,1),(222,1),(223,1),(407,1),(424,1)}
       180:{1,5}:{(136,1),(137,1)}
       181:{1,2,4,6}:{(137,1),(138,1),(139,1),(152,1),(217,1),(221,1),(224,1),(225,1),(226,1),(303,1),(307,1),(309,1),(369,1)}
       182:{1,2,5}:{(139,1),(155,1),(226,1),(227,1)}
       183:{1,3}:{(139,1),(156,1)}
       184:{4,5,6}:{(141,1),(228,1),(229,1),(412,1),(425,1)}
       185:{4,6,7}:{(140,1),(141,1),(228,1),(411,1),(425,1)}
       186:{3,4,6}:{(141,1),(142,1),(146,1),(229,1),(231,1),(414,1),(425,1)}
       187:{2,4,5,7}:{(142,1),(144,1),(147,1),(231,1),(232,1),(233,1),(310,1),(320,1),(380,1)}
       188:{3,4,7}:{(143,1),(149,1),(233,1),(411,1)}
       189:{2,4,6}:{(143,1),(144,1),(150,1),(233,1),(234,1)}
       190:{1,4,5}:{(144,1),(151,1),(234,1),(235,1),(251,1),(307,1),(412,1)}
       191:{3,6,7}:{(145,1),(146,1),(149,1),(414,1)}
       192:{2,3,6}:{(146,1),(147,1),(158,1),(219,1),(231,1),(237,1),(382,1),(414,1),(424,1)}
       193:{1,3,5,7}:{(147,1),(148,1),(151,1),(159,1),(220,1),(232,1),(237,1),(238,1),(314,1),(372,1),(423,1)}
       194:{2,4,7}:{(148,1),(152,1),(238,1),(239,1),(243,1),(363,1)}
       195:{2,3,5,7}:{(149,1),(150,1),(153,1),(161,1),(222,1),(233,1),(236,1),(240,1),(295,1),(310,1)}
       196:{1,3,5,6}:{(150,1),(151,1),(154,1),(162,1),(223,1),(234,1),(237,1),(240,1),(241,1),(296,1),(311,1),(316,1),(374,1)}
       197:{2,5}:{(151,1),(152,1)}
       198:{2,3,6}:{(152,1),(156,1),(164,1),(225,1),(239,1),(242,1),(298,1),(316,1)}
       199:{1,3,7}:{(153,1),(154,1),(165,1),(243,1)}
       200:{2,6}:{(154,1),(155,1),(243,1)}
       201:{2,3,5}:{(155,1),(156,1),(167,1),(227,1),(244,1),(245,1),(324,1)}
       202:{2,6,7}:{(157,1),(158,1),(161,1),(246,1),(382,1)}
       203:{1,6}:{(158,1),(159,1)}
       204:{1,2,5,7}:{(159,1),(160,1),(163,1),(238,1),(247,1),(248,1),(423,1)}
       205:{1,3,7}:{(160,1),(164,1),(239,1)}
       206:{1,5,7}:{(161,1),(162,1),(165,1),(246,1)}
       207:{1,2,5,6}:{(162,1),(163,1),(166,1),(241,1),(247,1),(249,1),(250,1),(324,1),(361,1),(382,1)}
       208:{1,3,5}:{(163,1),(164,1),(242,1),(251,1)}
       209:{1,2,4,7}:{(165,1),(166,1),(243,1),(249,1),(252,1),(315,1),(323,1),(327,1)}
       210:{1,3,6}:{(166,1),(167,1),(244,1),(252,1),(316,1)}
       211:{1,3,4}:{(167,1),(245,1),(251,1),(317,1)}
       212:{2,3,5}:{(168,1),(170,1),(254,1),(255,1),(278,1)}
       213:{1,3,4}:{(168,1),(171,1),(255,1),(256,1),(260,1),(331,1),(387,1)}
       214:{1,3,4,7}:{(169,1),(178,1),(188,1),(257,1),(276,1),(332,1),(350,1)}
       215:{2,4,6}:{(169,1),(170,1),(179,1),(254,1),(257,1),(258,1),(333,1)}
       216:{1,4,5}:{(170,1),(171,1),(180,1),(255,1),(258,1),(387,1),(417,1)}
       217:{1,2,4}:{(171,1),(172,1),(256,1),(260,1)}
       218:{1,3,6,7}:{(173,1),(174,1),(178,1),(191,1),(261,1),(419,1)}
       219:{2,6}:{(174,1),(175,1),(262,1)}
       220:{1,5,7}:{(175,1),(176,1),(180,1),(262,1)}
       221:{1,2,4,7}:{(176,1),(177,1),(181,1),(194,1),(263,1),(264,1),(268,1),(340,1),(343,1)}
       222:{2,5,7}:{(178,1),(179,1),(257,1),(261,1),(265,1)}
       223:{1,5,6}:{(179,1),(180,1),(258,1),(262,1),(265,1),(417,1),(426,1)}
       224:{1,2,5}:{(180,1),(181,1),(197,1),(267,1),(344,1),(393,1)}
       225:{1,3,6}:{(181,1),(183,1),(198,1),(260,1),(264,1),(267,1)}
       226:{1,2,6}:{(182,1),(200,1),(268,1),(269,1)}
       227:{1,3,5}:{(182,1),(183,1),(201,1),(269,1),(270,1),(344,1)}
       228:{4,5,7}:{(184,1),(185,1),(271,1)}
       229:{3,5,6}:{(184,1),(186,1),(271,1),(272,1),(399,1)}
       230:{3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(271,1),(273,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(272,1),(274,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(274,1),(275,1),(276,1),(289,1),(340,1),(345,1),(358,1),(393,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(276,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(276,1),(277,1),(397,1)}
       235:{2,4,5}:{(190,1),(197,1),(277,1),(278,1),(284,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(202,1),(261,1),(273,1),(279,1)}
       237:{1,3,6}:{(192,1),(193,1),(203,1),(262,1),(274,1),(280,1),(348,1),(395,1),(426,1)}
       238:{2,5,7}:{(193,1),(194,1),(197,1),(280,1)}
       239:{2,3,7}:{(194,1),(198,1),(205,1),(264,1),(350,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(199,1),(206,1),(265,1),(276,1),(279,1),(282,1),(332,1),(345,1),(350,1),(396,1)}
       241:{2,5,6}:{(196,1),(197,1),(200,1),(277,1),(280,1),(282,1),(333,1)}
       242:{2,3,5}:{(197,1),(198,1),(208,1),(267,1),(278,1),(284,1)}
       243:{2,7}:{(199,1),(200,1)}
       244:{2,3,6}:{(200,1),(201,1),(210,1),(269,1),(285,1),(286,1)}
       245:{2,4}:{(201,1),(211,1),(270,1)}
       246:{1,6,7}:{(202,1),(203,1),(206,1),(395,1)}
       247:{1,2,6}:{(203,1),(204,1),(280,1),(288,1),(426,1)}
       248:{1,3,5,7}:{(204,1),(205,1),(208,1),(281,1),(288,1),(289,1),(358,1)}
       249:{1,2,5,7}:{(206,1),(207,1),(209,1),(282,1),(287,1),(290,1),(356,1),(385,1)}
       250:{1,3,5,6}:{(207,1),(208,1),(210,1),(283,1),(288,1),(290,1),(291,1),(293,1),(358,1),(360,1),(386,1),(403,1),(417,1),(426,1)}
       251:{1,4}:{(208,1),(284,1)}
       252:{1,3,7}:{(209,1),(210,1),(285,1),(350,1)}
       253:{1,3,4,6}:{(210,1),(211,1),(286,1),(291,1),(292,1),(293,1),(351,1),(360,1)}
       254:{2,3,6}:{(212,1),(215,1),(295,1),(296,1),(316,1)}
       255:{1,3,5}:{(212,1),(213,1),(216,1),(296,1),(297,1)}
       256:{2,4}:{(213,1),(297,1),(298,1)}
       257:{2,4,7}:{(214,1),(215,1),(222,1),(295,1),(299,1),(363,1)}
       258:{1,4,6}:{(215,1),(216,1),(223,1),(296,1),(299,1)}
       259:{1,2,4,5}:{(216,1),(217,1),(224,1),(235,1),(297,1),(300,1),(301,1),(307,1),(365,1),(371,1),(407,1)}
       260:{1,3}:{(217,1),(298,1)}
       261:{2,6,7}:{(218,1),(219,1),(222,1),(302,1),(424,1)}
       262:{1,6}:{(219,1),(220,1)}
       263:{1,2,5,7}:{(220,1),(221,1),(224,1),(238,1),(303,1),(304,1),(372,1)}
       264:{1,3,7}:{(221,1),(225,1),(239,1)}
       265:{1,5,7}:{(222,1),(223,1),(299,1),(302,1)}
       266:{1,2,5,6}:{(223,1),(224,1),(226,1),(241,1),(300,1),(303,1),(305,1),(306,1),(407,1),(424,1)}
       267:{1,3,5}:{(224,1),(225,1),(242,1),(307,1)}
       268:{1,2,7}:{(226,1),(243,1),(308,1)}
       269:{1,3,6}:{(226,1),(227,1),(244,1),(308,1),(309,1)}
       270:{1,4}:{(227,1),(245,1)}
       271:{3,5,7}:{(228,1),(229,1),(230,1),(310,1)}
       272:{2,5,6}:{(229,1),(231,1),(310,1),(311,1),(380,1)}
       273:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(310,1),(312,1)}
       274:{1,4,6}:{(231,1),(232,1),(237,1),(311,1),(313,1)}
       275:{2,4,5,7}:{(232,1),(235,1),(238,1),(313,1),(314,1),(315,1),(320,1),(373,1),(380,1),(411,1),(412,1)}
       276:{1,4,7}:{(233,1),(234,1),(240,1),(315,1),(411,1)}
       277:{2,4,6}:{(234,1),(235,1),(241,1),(315,1),(316,1)}
       278:{3,5}:{(235,1),(316,1),(317,1)}
       279:{1,3,6,7}:{(236,1),(237,1),(240,1),(246,1),(302,1),(312,1),(318,1),(375,1)}
       280:{2,6}:{(237,1),(238,1)}
       281:{2,3,5,7}:{(238,1),(239,1),(242,1),(248,1),(304,1),(314,1),(319,1),(320,1),(380,1)}
       282:{2,5,7}:{(240,1),(241,1),(243,1),(315,1),(318,1),(363,1)}
       283:{2,3,5,6}:{(241,1),(242,1),(244,1),(250,1),(306,1),(316,1),(319,1),(321,1),(322,1),(324,1),(364,1),(374,1),(378,1),(380,1),(382,1),(407,1),(414,1),(415,1),(424,1)}
       284:{2,4}:{(242,1),(251,1),(307,1),(317,1)}
       285:{2,3,7}:{(243,1),(244,1),(252,1),(308,1),(323,1)}
       286:{2,4,6}:{(244,1),(245,1),(253,1),(309,1),(323,1),(324,1),(382,1)}
       287:{1,2,6,7}:{(246,1),(247,1),(249,1),(318,1),(325,1),(382,1)}
       288:{1,3,6}:{(247,1),(248,1),(319,1),(326,1)}
       289:{1,4,7}:{(248,1),(251,1),(320,1),(326,1)}
       290:{1,3,5,7}:{(249,1),(250,1),(252,1),(321,1),(325,1),(327,1),(383,1),(404,1),(423,1)}
       291:{1,4,6}:{(250,1),(251,1),(322,1),(327,1),(328,1)}
       292:{1,3,4,7}:{(252,1),(253,1),(323,1),(327,1),(329,1),(377,1)}
       293:{1,3,5}:{(253,1),(324,1),(328,1),(378,1)}
       294:{1,2,4}:{(256,1),(330,1),(331,1),(387,1)}
       295:{2,3,7}:{(254,1),(257,1),(332,1),(350,1)}
       296:{1,3,6}:{(254,1),(255,1),(258,1),(332,1),(333,1)}
       297:{2,5}:{(255,1),(256,1),(333,1)}
       298:{2,3}:{(256,1),(260,1),(331,1)}
       299:{1,4,7}:{(257,1),(258,1),(265,1),(332,1)}
       300:{1,2,4,6}:{(258,1),(259,1),(266,1),(277,1),(333,1),(335,1),(336,1),(342,1),(389,1)}
       301:{1,3,5}:{(259,1),(260,1),(278,1),(334,1),(336,1),(337,1)}
       302:{1,6,7}:{(261,1),(262,1),(265,1),(426,1)}
       303:{1,2,6}:{(262,1),(263,1),(280,1),(339,1),(395,1)}
       304:{1,3,5,7}:{(263,1),(264,1),(267,1),(281,1),(339,1),(340,1),(393,1)}
       305:{1,2,5,7}:{(265,1),(266,1),(268,1),(282,1),(335,1),(338,1),(341,1),(418,1)}
       306:{1,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(336,1),(339,1),(341,1),(342,1),(344,1),(391,1),(393,1),(395,1),(419,1),(420,1)}
       307:{1,4}:{(267,1),(284,1)}
       308:{1,3,7}:{(268,1),(269,1),(285,1),(343,1)}
       309:{1,4,6}:{(269,1),(270,1),(286,1),(343,1),(344,1),(395,1)}
       310:{2,5,7}:{(271,1),(272,1),(273,1),(345,1)}
       311:{1,5,6}:{(272,1),(274,1),(345,1),(346,1),(358,1),(393,1)}
       312:{1,4,6,7}:{(273,1),(274,1),(276,1),(279,1),(345,1),(347,1)}
       313:{2,4,6}:{(274,1),(275,1),(280,1),(346,1),(348,1),(397,1)}
       314:{3,5,7}:{(275,1),(278,1),(348,1),(349,1),(350,1),(399,1)}
       315:{2,4,7}:{(276,1),(277,1),(282,1),(350,1)}
       316:{3,6}:{(277,1),(278,1),(350,1)}
       317:{3,4}:{(278,1),(284,1)}
       318:{2,6,7}:{(279,1),(280,1),(282,1)}
       319:{2,3,6}:{(280,1),(281,1),(288,1),(339,1),(348,1),(353,1)}
       320:{2,4,7}:{(281,1),(284,1),(289,1),(340,1),(349,1),(353,1)}
       321:{2,3,5,7}:{(282,1),(283,1),(285,1),(290,1),(341,1),(350,1),(352,1),(354,1),(356,1),(388,1),(396,1),(400,1),(401,1),(418,1)}
       322:{2,4,6}:{(283,1),(284,1),(291,1),(342,1),(351,1),(354,1),(355,1),(397,1)}
       323:{2,4,7}:{(285,1),(286,1),(292,1),(343,1),(356,1)}
       324:{2,5}:{(286,1),(293,1),(344,1)}
       325:{1,3,6,7}:{(287,1),(288,1),(290,1),(352,1),(357,1),(360,1),(426,1)}
       326:{1,4,6}:{(288,1),(289,1),(353,1),(358,1)}
       327:{1,4,7}:{(290,1),(291,1),(354,1)}
       328:{1,4,5}:{(291,1),(293,1),(355,1),(358,1),(417,1)}
       329:{1,3,5,7}:{(292,1),(293,1),(356,1),(359,1),(360,1),(400,1)}
       330:{1,2,5}:{(294,1),(297,1),(361,1),(362,1)}
       331:{1,3}:{(294,1),(298,1)}
       332:{1,3,7}:{(295,1),(296,1),(299,1),(363,1)}
       333:{2,6}:{(296,1),(297,1),(363,1)}
       334:{2,3,5}:{(297,1),(298,1),(301,1),(362,1),(364,1),(365,1),(407,1)}
       335:{1,2,4,7}:{(299,1),(300,1),(305,1),(315,1),(363,1),(366,1),(370,1),(406,1)}
       336:{1,3,6}:{(300,1),(301,1),(316,1),(364,1),(366,1)}
       337:{1,3,4}:{(301,1),(307,1),(317,1),(365,1)}
       338:{1,2,6,7}:{(302,1),(303,1),(305,1),(318,1),(368,1),(424,1)}
       339:{1,3,6}:{(303,1),(304,1),(319,1),(369,1)}
       340:{1,4,7}:{(304,1),(307,1),(320,1),(369,1)}
       341:{1,3,5,7}:{(305,1),(306,1),(308,1),(321,1),(366,1),(368,1),(370,1),(372,1),(409,1)}
       342:{1,4,6}:{(306,1),(307,1),(322,1),(370,1),(371,1)}
       343:{1,4,7}:{(308,1),(309,1),(323,1),(372,1)}
       344:{1,5}:{(309,1),(324,1)}
       345:{1,5,7}:{(310,1),(311,1),(312,1),(373,1)}
       346:{2,5,6}:{(311,1),(313,1),(373,1),(374,1),(380,1)}
       347:{2,4,6,7}:{(312,1),(313,1),(315,1),(318,1),(373,1),(375,1),(411,1)}
       348:{3,6}:{(313,1),(314,1)}
       349:{3,4,7}:{(314,1),(317,1),(320,1),(376,1),(411,1)}
       350:{3,7}:{(315,1),(316,1)}
       351:{3,4,6}:{(316,1),(317,1),(322,1),(377,1),(378,1),(414,1)}
       352:{2,3,6,7}:{(318,1),(319,1),(321,1),(325,1),(368,1),(375,1),(379,1),(382,1),(414,1),(424,1)}
       353:{2,4,6}:{(319,1),(320,1),(326,1),(369,1),(376,1),(380,1)}
       354:{2,4,7}:{(321,1),(322,1),(327,1),(370,1),(377,1),(411,1)}
       355:{2,4,5}:{(322,1),(324,1),(328,1),(371,1),(378,1),(380,1),(407,1),(412,1)}
       356:{2,5,7}:{(323,1),(324,1),(329,1),(372,1),(382,1)}
       357:{1,4,6,7}:{(325,1),(326,1),(327,1),(379,1),(383,1),(384,1)}
       358:{1,5}:{(326,1),(380,1)}
       359:{1,4,5,7}:{(327,1),(328,1),(329,1),(381,1),(383,1),(384,1),(423,1)}
       360:{1,3,6}:{(329,1),(382,1),(384,1),(414,1)}
       361:{1,2,6}:{(330,1),(333,1),(385,1),(386,1)}
       362:{1,3,5}:{(330,1),(331,1),(334,1),(386,1),(387,1),(417,1)}
       363:{2,7}:{(332,1),(333,1)}
       364:{2,3,6}:{(333,1),(334,1),(336,1),(386,1),(388,1),(389,1)}
       365:{2,4}:{(334,1),(337,1),(387,1)}
       366:{1,3,7}:{(335,1),(336,1),(350,1),(388,1)}
       367:{1,3,4,6}:{(336,1),(337,1),(342,1),(351,1),(389,1),(390,1),(391,1),(419,1)}
       368:{1,3,6,7}:{(338,1),(339,1),(341,1),(352,1),(392,1),(395,1),(419,1)}
       369:{1,4,6}:{(339,1),(340,1),(353,1),(393,1)}
       370:{1,4,7}:{(341,1),(342,1),(354,1)}
       371:{1,4,5}:{(342,1),(344,1),(355,1),(391,1),(393,1)}
       372:{1,5,7}:{(343,1),(344,1),(356,1),(395,1)}
       373:{2,5,7}:{(345,1),(346,1),(347,1),(396,1)}
       374:{3,5,6}:{(346,1),(348,1),(396,1),(397,1),(399,1)}
       375:{3,6,7}:{(347,1),(348,1),(350,1),(396,1)}
       376:{3,4,6}:{(348,1),(349,1),(353,1),(397,1),(399,1)}
       377:{3,4,7}:{(350,1),(351,1),(354,1),(400,1)}
       378:{3,5}:{(351,1),(355,1)}
       379:{2,4,6,7}:{(352,1),(353,1),(354,1),(357,1),(392,1),(398,1),(401,1),(402,1)}
       380:{2,5}:{(353,1),(358,1),(393,1),(399,1)}
       381:{2,4,5,7}:{(354,1),(355,1),(356,1),(359,1),(394,1),(400,1),(401,1),(402,1),(418,1),(421,1)}
       382:{2,6}:{(356,1),(360,1),(395,1)}
       383:{1,5,7}:{(357,1),(358,1),(401,1),(403,1)}
       384:{1,4,6}:{(359,1),(360,1),(402,1),(403,1),(426,1)}
       385:{1,2,7}:{(361,1),(363,1),(404,1)}
       386:{1,3,6}:{(361,1),(362,1),(364,1),(404,1),(405,1)}
       387:{1,4}:{(362,1),(365,1)}
       388:{2,3,7}:{(363,1),(364,1),(366,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(365,1),(367,1),(405,1),(406,1),(407,1),(424,1)}
       390:{1,3,4,7}:{(366,1),(367,1),(370,1),(377,1),(406,1),(408,1)}
       391:{1,3,5}:{(367,1),(371,1),(378,1),(407,1)}
       392:{1,4,6,7}:{(368,1),(369,1),(370,1),(379,1),(409,1),(410,1)}
       393:{1,5}:{(369,1),(380,1)}
       394:{1,4,5,7}:{(370,1),(371,1),(372,1),(381,1),(408,1),(409,1),(410,1)}
       395:{1,6}:{(372,1),(382,1)}
       396:{3,5,7}:{(373,1),(374,1),(375,1),(411,1)}
       397:{4,6}:{(374,1),(411,1),(412,1)}
       398:{3,4,6,7}:{(375,1),(376,1),(377,1),(379,1),(411,1),(413,1),(414,1),(425,1)}
       399:{3,5}:{(376,1),(380,1),(412,1)}
       400:{3,5,7}:{(377,1),(378,1),(381,1),(414,1)}
       401:{2,5,7}:{(379,1),(380,1),(383,1),(409,1),(413,1),(415,1)}
       402:{2,4,6}:{(381,1),(382,1),(384,1),(410,1),(414,1),(415,1),(424,1),(425,1)}
       403:{1,5,6}:{(383,1),(384,1),(415,1)}
       404:{1,3,7}:{(385,1),(386,1),(388,1),(416,1)}
       405:{1,4,6}:{(386,1),(387,1),(389,1),(416,1),(417,1),(426,1)}
       406:{2,4,7}:{(388,1),(389,1),(390,1),(416,1),(418,1)}
       407:{2,5}:{(389,1),(391,1),(417,1)}
       408:{1,3,5,7}:{(390,1),(391,1),(394,1),(400,1),(418,1),(419,1)}
       409:{1,5,7}:{(392,1),(393,1),(401,1),(420,1)}
       410:{1,4,6}:{(394,1),(395,1),(402,1),(419,1),(420,1)}
       411:{4,7}:{(396,1),(397,1)}
       412:{4,5}:{(397,1),(399,1)}
       413:{3,5,7}:{(398,1),(399,1),(401,1),(421,1),(422,1)}
       414:{3,6}:{(400,1),(402,1)}
       415:{2,5,6}:{(401,1),(402,1),(403,1),(420,1),(422,1)}
       416:{1,4,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,5}:{(405,1),(407,1)}
       418:{2,5,7}:{(406,1),(407,1),(408,1),(423,1),(424,1)}
       419:{1,3,6}:{(408,1),(410,1),(414,1),(424,1)}
       420:{1,5,6}:{(409,1),(410,1),(415,1)}
       421:{4,5,7}:{(411,1),(412,1),(413,1),(425,1)}
       422:{3,5,6}:{(413,1),(414,1),(415,1),(425,1)}
       423:{1,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       424:{2,6}:{(418,1),(419,1),(426,1)}
       425:{4,6}:{(421,1),(422,1)}
       426:{1,6}:{(423,1),(424,1)}

1322 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1323 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1324 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1325 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1326 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1327 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1328 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1329 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1330 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1331 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1332 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1333 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1334 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1335 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1336 :   0:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(157,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(19,1),(25,1),(47,1),(52,1),(65,1),(94,1),(102,1),(116,1),(153,1),(156,1),(166,1),(218,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(33,1),(187,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(68,1),(188,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(188,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(188,1),(247,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(33,1),(41,1),(69,1),(76,1),(87,1),(122,1),(133,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(50,1),(217,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1),(219,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(19,1),(92,1),(94,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(20,1),(47,1),(49,1),(94,1),(153,1)}
        11:{2,4,5,6}:{(4,1),(17,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(219,1)}
        12:{2,3,5,7}:{(6,1),(21,1),(24,1),(25,1),(53,1),(153,1),(166,1),(218,1),(268,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(19,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(50,1),(94,1),(102,1),(110,1),(173,1)}
        16:{1,4,6,7}:{(7,1),(8,1),(29,1),(30,1),(245,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(11,1),(29,1),(31,1),(33,1),(67,1),(69,1),(122,1)}
        18:{3,6,7}:{(8,1),(31,1),(247,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(13,1),(31,1),(33,1)}
        20:{2,4,6,7}:{(10,1),(14,1),(32,1),(33,1),(34,1),(69,1),(71,1),(122,1)}
        21:{2,3,4,7}:{(12,1),(35,1),(36,1),(69,1),(87,1),(118,1),(127,1),(185,1),(199,1),(243,1)}
        22:{1,4,5,6}:{(11,1),(29,1),(37,1),(42,1),(84,1),(206,1),(245,1)}
        23:{3,5,6}:{(11,1),(31,1),(38,1),(142,1),(209,1),(247,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(247,1),(286,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(36,1),(40,1),(41,1),(77,1),(285,1)}
        26:{2,5,6}:{(13,1),(14,1),(33,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(72,1),(75,1),(87,1),(122,1),(125,1),(130,1),(133,1),(141,1),(144,1),(146,1),(186,1),(193,1),(196,1),(252,1),(285,1),(292,1)}
        29:{1,4,5,7}:{(16,1),(17,1),(22,1),(45,1),(50,1),(94,1)}
        30:{1,3,6,7}:{(16,1),(18,1),(45,1),(46,1),(269,1)}
        31:{3,5,7}:{(17,1),(18,1),(23,1),(47,1),(153,1)}
        32:{2,3,6,7}:{(18,1),(20,1),(24,1),(46,1),(48,1),(49,1),(153,1)}
        33:{2,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,4,6,7}:{(20,1),(27,1),(49,1),(50,1),(94,1)}
        35:{2,3,4,6}:{(21,1),(24,1),(53,1),(54,1),(59,1),(106,1),(113,1),(158,1),(159,1),(175,1),(223,1),(236,1)}
        36:{1,3,4,7}:{(21,1),(25,1),(54,1),(55,1),(94,1),(101,1),(110,1),(149,1),(153,1),(267,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(45,1),(56,1),(57,1),(237,1),(269,1)}
        38:{3,4,6}:{(23,1),(47,1),(52,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(48,1),(53,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(298,1)}
        41:{2,5,7}:{(25,1),(55,1),(61,1),(103,1)}
        42:{1,5,6}:{(26,1),(27,1),(50,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(219,1),(225,1),(275,1),(298,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(101,1),(116,1),(153,1),(163,1),(166,1),(218,1),(274,1),(303,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(37,1),(66,1),(67,1)}
        46:{2,6,7}:{(30,1),(67,1),(68,1),(286,1)}
        47:{3,4,7}:{(31,1),(38,1),(69,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(33,1),(39,1),(67,1),(69,1),(70,1),(118,1)}
        49:{1,3,6,7}:{(32,1),(34,1),(40,1),(68,1),(70,1),(71,1)}
        50:{1,5,7}:{(33,1),(34,1),(42,1)}
        51:{1,2,4,6,7}:{(34,1),(43,1),(71,1),(72,1),(73,1),(122,1),(124,1),(125,1),(208,1),(254,1),(292,1)}
        52:{3,4,5}:{(38,1),(76,1),(209,1),(251,1)}
        53:{2,3,5}:{(35,1),(76,1),(77,1),(144,1),(209,1),(263,1)}
        54:{1,3,4,6}:{(35,1),(36,1),(40,1),(77,1),(78,1),(84,1),(131,1),(137,1),(140,1),(142,1),(190,1),(196,1),(199,1),(262,1)}
        55:{2,4,7}:{(36,1),(41,1),(78,1),(79,1),(181,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(74,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(67,1),(80,1),(81,1),(263,1),(286,1)}
        58:{1,2,5,7}:{(41,1),(75,1),(82,1),(83,1),(130,1),(193,1),(285,1)}
        59:{2,4,6}:{(38,1),(39,1),(69,1),(76,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(70,1),(77,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(79,1),(83,1),(86,1),(87,1),(127,1),(134,1),(144,1),(191,1),(193,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(72,1),(85,1),(88,1),(130,1),(144,1),(187,1),(203,1),(207,1),(253,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(247,1),(291,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(125,1),(185,1),(196,1),(199,1),(251,1)}
        66:{1,3,4,7}:{(45,1),(47,1),(56,1),(91,1),(94,1),(149,1),(153,1)}
        67:{2,5,7}:{(45,1),(46,1),(57,1),(91,1),(92,1)}
        68:{1,6,7}:{(46,1),(92,1),(298,1)}
        69:{2,4,7}:{(47,1),(48,1),(59,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(60,1),(92,1),(94,1),(95,1),(149,1),(153,1)}
        71:{2,6,7}:{(49,1),(61,1),(95,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(63,1),(95,1),(97,1),(155,1),(213,1),(239,1),(276,1)}
        73:{1,3,6,7}:{(51,1),(64,1),(96,1),(97,1),(153,1),(298,1),(303,1)}
        74:{1,3,4,5}:{(52,1),(56,1),(99,1),(102,1),(161,1),(166,1),(228,1),(237,1)}
        75:{1,2,4,7}:{(55,1),(58,1),(100,1),(101,1),(110,1),(160,1),(213,1),(267,1)}
        76:{2,4,5}:{(52,1),(53,1),(59,1),(102,1),(223,1)}
        77:{1,3,5}:{(53,1),(54,1),(102,1),(103,1),(166,1),(173,1),(282,1)}
        78:{2,4,6}:{(54,1),(55,1),(61,1),(103,1),(104,1),(167,1),(170,1),(222,1)}
        79:{2,3,7}:{(55,1),(101,1),(104,1),(153,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(99,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(92,1),(107,1),(282,1),(298,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(225,1),(298,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(101,1),(109,1),(110,1),(163,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(102,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(103,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(225,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(167,1),(223,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(97,1),(112,1),(115,1),(116,1),(163,1),(235,1),(282,1),(298,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(165,1),(180,1),(218,1),(229,1),(232,1),(274,1),(280,1),(281,1),(303,1)}
        91:{2,4,7}:{(66,1),(67,1),(80,1),(118,1),(119,1),(181,1)}
        92:{1,5,7}:{(67,1),(68,1),(81,1),(119,1)}
        93:{1,2,6,7}:{(68,1),(71,1),(82,1),(120,1),(121,1),(254,1),(286,1),(307,1)}
        94:{1,4,7}:{(69,1),(70,1),(84,1),(122,1)}
        95:{2,5,7}:{(70,1),(71,1),(85,1),(122,1),(181,1)}
        96:{2,3,6,7}:{(71,1),(73,1),(86,1),(121,1),(123,1),(124,1),(247,1),(254,1),(286,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(88,1),(123,1),(125,1),(242,1),(285,1)}
        98:{1,3,4,6,7}:{(73,1),(89,1),(124,1),(125,1),(126,1),(185,1),(188,1),(247,1)}
        99:{2,4,5}:{(74,1),(80,1),(128,1),(129,1),(194,1),(256,1),(263,1)}
       100:{1,2,4,6}:{(75,1),(78,1),(82,1),(130,1),(131,1),(140,1),(192,1),(196,1),(203,1),(249,1),(262,1)}
       101:{1,3,7}:{(75,1),(79,1),(127,1),(131,1)}
       102:{1,4,5}:{(76,1),(77,1),(84,1),(133,1),(196,1)}
       103:{2,5}:{(77,1),(78,1)}
       104:{2,3,6}:{(78,1),(79,1),(131,1),(134,1),(142,1),(250,1)}
       105:{2,3,4,7}:{(79,1),(87,1),(132,1),(135,1),(136,1),(185,1),(243,1),(251,1),(261,1),(310,1)}
       106:{2,3,6}:{(80,1),(118,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(119,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(120,1),(130,1),(138,1),(139,1),(253,1),(263,1),(286,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(196,1)}
       111:{2,4,6}:{(84,1),(85,1),(122,1),(133,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(123,1),(134,1),(139,1),(142,1),(143,1),(144,1),(187,1),(191,1),(204,1),(209,1),(247,1),(253,1),(263,1),(286,1),(291,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(136,1),(141,1),(144,1),(145,1),(193,1),(200,1),(211,1),(252,1),(261,1),(292,1)}
       115:{1,4,6}:{(88,1),(125,1),(143,1),(146,1),(196,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(188,1),(198,1),(247,1),(258,1),(260,1),(291,1)}
       118:{2,3,7}:{(91,1),(106,1),(149,1),(153,1)}
       119:{1,4,7}:{(91,1),(92,1),(107,1),(149,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(95,1),(108,1),(150,1),(151,1),(268,1),(276,1),(306,1)}
       121:{1,3,6,7}:{(93,1),(96,1),(109,1),(151,1),(152,1),(269,1)}
       122:{2,4,7}:{(94,1),(95,1),(111,1),(153,1)}
       123:{2,3,5,7}:{(95,1),(96,1),(97,1),(112,1),(151,1),(153,1),(154,1),(155,1),(214,1),(218,1),(268,1),(276,1),(303,1)}
       124:{2,4,6,7}:{(96,1),(98,1),(113,1),(152,1),(154,1),(155,1),(219,1)}
       125:{1,4,7}:{(97,1),(115,1),(154,1)}
       126:{1,3,5,7}:{(98,1),(116,1),(155,1),(156,1),(157,1),(218,1)}
       127:{2,3,7}:{(101,1),(159,1),(160,1),(303,1)}
       128:{2,3,5}:{(99,1),(106,1),(158,1),(161,1),(166,1)}
       129:{1,4,5}:{(99,1),(107,1),(161,1),(277,1),(282,1)}
       130:{1,2,5}:{(100,1),(103,1),(163,1),(173,1),(224,1),(282,1)}
       131:{1,3,6}:{(100,1),(101,1),(104,1),(159,1),(163,1),(272,1)}
       132:{1,3,4,7}:{(101,1),(105,1),(110,1),(160,1),(164,1),(165,1),(267,1),(280,1),(303,1),(313,1)}
       133:{2,4,5}:{(102,1),(103,1),(111,1),(166,1),(167,1)}
       134:{2,3,5}:{(103,1),(104,1),(163,1),(166,1),(167,1)}
       135:{2,3,4,6}:{(104,1),(105,1),(113,1),(164,1),(167,1),(168,1),(169,1),(175,1),(233,1),(236,1),(273,1),(302,1)}
       136:{2,3,5,7}:{(105,1),(114,1),(165,1),(168,1),(169,1),(218,1),(268,1),(274,1),(303,1)}
       137:{1,3,6}:{(106,1),(107,1),(149,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(150,1),(162,1),(170,1),(171,1),(172,1),(236,1),(275,1),(304,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(151,1),(163,1),(171,1),(172,1),(173,1),(217,1),(237,1),(269,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(165,1),(173,1),(174,1),(229,1),(239,1),(280,1)}
       142:{3,6}:{(111,1),(153,1),(166,1)}
       143:{2,4,6}:{(112,1),(115,1),(154,1),(167,1),(172,1),(175,1),(176,1),(223,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(169,1),(174,1),(177,1),(225,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(221,1),(231,1),(271,1),(280,1),(281,1),(303,1)}
       149:{1,3,7}:{(118,1),(119,1),(137,1),(181,1)}
       150:{1,2,4,7}:{(119,1),(120,1),(122,1),(138,1),(181,1),(182,1),(183,1),(243,1),(292,1),(311,1),(314,1)}
       151:{1,3,5,7}:{(120,1),(121,1),(123,1),(139,1),(182,1),(183,1),(184,1)}
       152:{1,4,6,7}:{(121,1),(124,1),(140,1),(183,1),(184,1),(245,1)}
       153:{3,7}:{(122,1),(142,1)}
       154:{2,4,7}:{(123,1),(125,1),(143,1),(183,1),(185,1)}
       155:{2,5,7}:{(124,1),(126,1),(144,1),(184,1),(187,1)}
       156:{1,4,5,7}:{(125,1),(126,1),(146,1),(186,1),(188,1),(285,1)}
       157:{1,3,5,6}:{(126,1),(187,1),(188,1),(247,1)}
       158:{2,3,4}:{(128,1),(190,1),(199,1),(256,1),(288,1)}
       159:{2,3,6}:{(127,1),(131,1),(191,1),(192,1),(288,1),(291,1)}
       160:{2,4,7}:{(127,1),(132,1),(192,1),(193,1),(314,1)}
       161:{1,3,5}:{(128,1),(129,1),(137,1),(190,1),(194,1)}
       162:{1,2,4,5}:{(129,1),(130,1),(133,1),(138,1),(194,1),(195,1),(196,1),(206,1),(249,1),(252,1),(256,1),(263,1),(293,1),(308,1)}
       163:{1,3,5}:{(130,1),(131,1),(134,1),(191,1),(196,1)}
       164:{1,3,4,6}:{(131,1),(132,1),(135,1),(140,1),(192,1),(196,1),(197,1),(198,1),(251,1),(258,1),(262,1),(289,1),(291,1),(309,1)}
       165:{1,3,5,7}:{(132,1),(136,1),(141,1),(193,1),(197,1),(198,1),(285,1)}
       166:{3,5}:{(133,1),(142,1),(199,1)}
       167:{2,4}:{(134,1),(196,1),(199,1)}
       168:{2,3,5}:{(135,1),(144,1),(197,1),(200,1),(209,1),(263,1)}
       169:{2,3,6}:{(136,1),(145,1),(198,1),(247,1),(286,1),(291,1)}
       170:{2,6}:{(137,1),(181,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(182,1),(195,1),(204,1),(291,1)}
       172:{1,4,6}:{(139,1),(143,1),(183,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(198,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(185,1),(199,1),(209,1),(247,1),(251,1),(291,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(202,1),(208,1),(211,1),(254,1),(261,1),(292,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(188,1),(210,1),(212,1),(258,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{2,7}:{(149,1),(170,1)}
       182:{1,3,7}:{(150,1),(153,1),(171,1),(214,1),(303,1)}
       183:{1,4,7}:{(151,1),(154,1),(172,1)}
       184:{1,5,7}:{(152,1),(155,1),(173,1),(217,1)}
       185:{3,4,7}:{(153,1),(154,1),(175,1),(218,1),(303,1)}
       186:{2,4,5,7}:{(154,1),(155,1),(156,1),(176,1),(216,1),(218,1),(219,1),(268,1)}
       187:{2,5,6}:{(155,1),(157,1),(217,1),(219,1)}
       188:{1,4,6}:{(156,1),(157,1),(219,1),(298,1)}
       189:{1,3,5,6,7}:{(157,1),(180,1),(220,1),(221,1),(271,1)}
       190:{1,3,4}:{(158,1),(161,1),(222,1),(272,1),(277,1)}
       191:{2,3,5}:{(159,1),(163,1),(223,1),(224,1),(274,1)}
       192:{2,4,6}:{(159,1),(160,1),(164,1),(223,1),(224,1),(225,1),(300,1),(312,1)}
       193:{2,5,7}:{(160,1),(165,1),(224,1),(225,1)}
       194:{2,5}:{(161,1),(170,1),(222,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(227,1),(228,1),(272,1),(274,1)}
       196:{1,4}:{(163,1),(167,1),(223,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(224,1),(229,1),(274,1),(282,1)}
       198:{1,3,6}:{(165,1),(169,1),(174,1),(225,1),(298,1)}
       199:{3,4}:{(166,1),(167,1)}
       200:{2,4,5}:{(167,1),(168,1),(229,1),(232,1),(233,1)}
       201:{2,3,5,6}:{(168,1),(169,1),(177,1),(230,1),(233,1),(234,1),(240,1),(283,1),(302,1)}
       202:{2,3,6,7}:{(169,1),(178,1),(231,1),(234,1),(271,1),(299,1),(303,1)}
       203:{1,2,6}:{(170,1),(213,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(214,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(215,1),(228,1),(236,1),(237,1),(269,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(231,1),(239,1),(280,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(219,1),(233,1),(238,1),(240,1),(241,1),(275,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(221,1),(241,1),(280,1),(306,1)}
       213:{1,2,7}:{(181,1),(203,1),(242,1),(314,1)}
       214:{2,3,7}:{(181,1),(182,1),(204,1),(242,1),(243,1),(314,1)}
       215:{1,3,4,7}:{(182,1),(183,1),(185,1),(205,1),(243,1),(244,1)}
       216:{1,4,5,7}:{(183,1),(184,1),(186,1),(206,1),(244,1),(245,1)}
       217:{1,5,6}:{(184,1),(187,1),(245,1)}
       218:{3,5,7}:{(185,1),(186,1),(209,1),(247,1)}
       219:{2,4,6}:{(186,1),(187,1),(188,1),(245,1),(247,1),(286,1)}
       220:{2,5,6,7}:{(187,1),(189,1),(211,1),(246,1),(248,1)}
       221:{1,4,6,7}:{(188,1),(189,1),(212,1),(248,1),(307,1)}
       222:{2,4}:{(190,1),(194,1),(250,1)}
       223:{2,4}:{(191,1),(196,1),(251,1)}
       224:{2,5}:{(192,1),(197,1)}
       225:{2,6}:{(193,1),(198,1)}
       226:{1,2,5}:{(194,1),(203,1),(249,1),(255,1),(308,1)}
       227:{2,3,5}:{(194,1),(195,1),(204,1),(250,1),(255,1),(256,1),(263,1),(288,1),(308,1)}
       228:{1,3,4}:{(195,1),(196,1),(199,1),(251,1),(256,1)}
       229:{1,4,5}:{(196,1),(197,1),(200,1),(252,1),(258,1)}
       230:{1,3,5,6}:{(197,1),(198,1),(201,1),(207,1),(253,1),(258,1),(259,1),(291,1),(296,1),(309,1)}
       231:{1,3,6,7}:{(198,1),(202,1),(208,1),(254,1),(259,1),(307,1)}
       232:{3,4,5}:{(199,1),(200,1),(209,1),(260,1)}
       233:{2,4,6}:{(200,1),(201,1),(258,1),(260,1),(261,1)}
       234:{2,3,5,7}:{(201,1),(202,1),(211,1),(259,1),(261,1),(266,1),(297,1),(310,1)}
       235:{1,3,6}:{(203,1),(204,1),(242,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(243,1),(256,1),(262,1),(263,1),(286,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(245,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(247,1),(260,1),(266,1),(291,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(248,1),(261,1),(265,1),(266,1),(292,1),(297,1)}
       242:{1,3,7}:{(213,1),(214,1),(235,1),(267,1)}
       243:{2,4,7}:{(214,1),(215,1),(236,1),(267,1),(268,1)}
       244:{1,3,5,7}:{(215,1),(216,1),(218,1),(237,1),(268,1),(269,1)}
       245:{1,4,6}:{(216,1),(217,1),(219,1),(269,1)}
       246:{1,5,6,7}:{(217,1),(220,1),(239,1),(270,1)}
       247:{3,6}:{(218,1),(219,1)}
       248:{2,4,6,7}:{(219,1),(220,1),(221,1),(241,1),(270,1),(271,1),(299,1)}
       249:{1,2,4}:{(222,1),(226,1),(272,1),(277,1),(300,1)}
       250:{2,3}:{(222,1),(272,1)}
       251:{3,4}:{(223,1),(274,1)}
       252:{2,4,5}:{(223,1),(224,1),(229,1),(274,1),(275,1)}
       253:{2,5,6}:{(224,1),(225,1),(230,1),(275,1),(276,1),(312,1)}
       254:{2,6,7}:{(225,1),(231,1),(276,1)}
       255:{1,3,5}:{(226,1),(227,1),(235,1),(272,1),(277,1),(282,1)}
       256:{2,4}:{(227,1),(228,1),(277,1)}
       257:{1,3,4,5}:{(228,1),(229,1),(232,1),(237,1),(274,1),(278,1),(279,1),(301,1)}
       258:{1,4,6}:{(229,1),(230,1),(233,1),(275,1),(280,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(234,1),(239,1),(276,1),(280,1),(303,1),(306,1),(313,1)}
       260:{3,4,6}:{(232,1),(233,1),(240,1),(281,1)}
       261:{2,4,7}:{(233,1),(234,1),(280,1),(281,1)}
       262:{1,4,6}:{(235,1),(236,1),(267,1),(277,1),(282,1),(298,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(269,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(270,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(271,1),(281,1),(303,1)}
       267:{1,4,7}:{(242,1),(243,1),(262,1),(285,1)}
       268:{2,5,7}:{(243,1),(244,1),(263,1),(285,1),(286,1)}
       269:{1,3,6}:{(244,1),(245,1),(247,1),(286,1)}
       270:{1,4,6,7}:{(245,1),(246,1),(248,1),(265,1),(287,1)}
       271:{3,6,7}:{(247,1),(248,1),(266,1)}
       272:{1,3}:{(249,1),(250,1),(288,1)}
       273:{2,3,4}:{(250,1),(251,1),(256,1),(289,1),(290,1)}
       274:{3,5}:{(251,1),(252,1),(291,1)}
       275:{2,4,6}:{(252,1),(253,1),(258,1),(291,1),(292,1)}
       276:{2,5,7}:{(253,1),(254,1),(259,1),(292,1),(314,1)}
       277:{1,4}:{(255,1),(256,1)}
       278:{2,4,5}:{(256,1),(257,1),(263,1),(290,1),(293,1),(294,1),(308,1)}
       279:{1,3,4,6}:{(257,1),(258,1),(260,1),(264,1),(291,1),(294,1),(295,1),(309,1)}
       280:{1,4,7}:{(258,1),(259,1),(261,1),(292,1)}
       281:{3,4,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(286,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(287,1),(295,1),(297,1)}
       285:{1,5,7}:{(267,1),(268,1),(282,1),(298,1)}
       286:{2,6}:{(268,1),(269,1),(298,1)}
       287:{1,3,6,7}:{(269,1),(270,1),(271,1),(284,1),(299,1)}
       288:{2,3}:{(272,1),(300,1)}
       289:{1,3,4}:{(272,1),(273,1),(277,1),(300,1),(301,1)}
       290:{2,3,5}:{(273,1),(274,1),(278,1),(301,1),(302,1)}
       291:{3,6}:{(274,1),(275,1),(303,1)}
       292:{2,4,7}:{(275,1),(276,1),(280,1),(303,1)}
       293:{1,4,5}:{(277,1),(278,1),(282,1),(301,1),(304,1)}
       294:{2,4,6}:{(278,1),(279,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,7}:{(279,1),(280,1),(281,1),(284,1),(303,1),(305,1),(313,1)}
       296:{1,5,6}:{(282,1),(283,1),(298,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(299,1),(305,1),(306,1)}
       298:{1,6}:{(285,1),(286,1)}
       299:{2,6,7}:{(286,1),(287,1),(297,1),(307,1)}
       300:{2,4}:{(288,1),(289,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,3,6}:{(290,1),(291,1),(294,1),(309,1),(310,1)}
       303:{3,7}:{(291,1),(292,1)}
       304:{1,4,6}:{(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,7}:{(296,1),(297,1),(307,1),(311,1)}
       307:{1,6,7}:{(298,1),(299,1),(306,1)}
       308:{2,5}:{(300,1),(301,1),(312,1)}
       309:{1,3,6}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,7}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,7}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1337 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(13,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(26,1),(55,1),(119,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(43,1),(93,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(155,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(13,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(37,1),(40,1)}
         7:{3,4,5,6}:{(12,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(40,1),(82,1),(94,1),(103,1),(218,1),(226,1),(230,1),(242,1),(288,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(65,1),(125,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(26,1),(55,1),(59,1),(65,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(192,1)}
        12:{3,4,5,7}:{(5,1),(7,1),(24,1),(184,1),(263,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,3,5,6,7}:{(6,1),(23,1),(26,1),(27,1),(59,1),(62,1),(65,1)}
        15:{1,3,4,5,6}:{(7,1),(21,1),(28,1),(30,1),(52,1),(68,1),(71,1),(106,1),(131,1),(177,1),(193,1)}
        16:{2,4,5,6}:{(7,1),(24,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(261,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(62,1),(74,1),(113,1),(122,1),(127,1),(134,1),(195,1),(208,1),(260,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(33,1),(36,1),(41,1),(78,1),(83,1),(89,1),(144,1),(152,1),(155,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(85,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(228,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(230,1)}
        25:{2,3,4,6,7}:{(13,1),(17,1),(37,1),(40,1),(42,1),(82,1),(147,1),(154,1),(160,1),(230,1)}
        26:{1,4,6,7}:{(13,1),(14,1),(41,1),(43,1)}
        27:{2,5,6,7}:{(14,1),(43,1),(85,1),(88,1)}
        28:{2,4,5,6}:{(15,1),(36,1),(45,1),(46,1),(96,1),(168,1),(229,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(40,1),(47,1),(222,1),(229,1)}
        30:{1,4,5,6}:{(16,1),(41,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(287,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(88,1),(149,1),(158,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(125,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(28,1),(57,1),(58,1),(114,1),(189,1),(192,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(65,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(27,1),(56,1),(60,1),(61,1),(116,1),(120,1),(179,1),(192,1),(262,1),(266,1),(301,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(29,1),(62,1),(184,1),(192,1)}
        41:{1,4,5,7}:{(24,1),(26,1),(30,1),(62,1),(63,1),(195,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(59,1),(62,1),(64,1),(65,1),(113,1),(122,1),(123,1),(191,1),(195,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(65,1)}
        44:{2,3,5,6,7}:{(27,1),(61,1),(65,1),(66,1),(117,1),(121,1),(125,1),(192,1),(200,1),(250,1),(301,1),(314,1)}
        45:{2,3,5,6}:{(28,1),(57,1),(67,1),(68,1),(71,1),(177,1)}
        46:{1,4,5,6}:{(28,1),(58,1),(68,1),(205,1),(262,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(62,1),(70,1),(71,1),(262,1)}
        48:{2,4,5,6}:{(30,1),(63,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(120,1),(138,1),(186,1),(195,1),(201,1),(208,1),(209,1),(260,1),(264,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(202,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(163,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(82,1),(92,1),(139,1),(154,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(85,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(45,1),(82,1),(83,1),(89,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(46,1),(83,1),(225,1),(228,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(83,1),(85,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(84,1),(85,1),(86,1),(87,1),(154,1),(287,1),(289,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(44,1),(81,1),(86,1),(87,1),(153,1),(155,1),(157,1),(216,1),(228,1),(234,1),(283,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(88,1),(89,1),(228,1)}
        63:{2,4,5,7}:{(41,1),(43,1),(48,1),(88,1),(89,1),(158,1)}
        64:{2,4,6,7}:{(42,1),(49,1),(85,1),(88,1),(91,1),(149,1),(158,1)}
        65:{3,6,7}:{(43,1),(89,1)}
        66:{2,4,6,7}:{(44,1),(87,1),(92,1),(93,1),(158,1),(232,1),(279,1),(310,1)}
        67:{2,3,4,6}:{(45,1),(82,1),(94,1),(95,1),(100,1),(168,1),(213,1),(237,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(83,1),(95,1),(96,1)}
        69:{1,2,4,5,6}:{(46,1),(48,1),(84,1),(96,1),(97,1),(98,1),(141,1),(156,1),(165,1),(168,1),(171,1),(211,1),(229,1),(240,1),(242,1),(275,1),(287,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        70:{2,5,6}:{(47,1),(49,1),(88,1)}
        71:{3,5,6}:{(48,1),(89,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(287,1),(289,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(235,1),(288,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(158,1),(236,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(125,1),(192,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(113,1),(175,1),(181,1),(182,1),(191,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(117,1),(180,1),(184,1),(192,1),(194,1),(256,1),(266,1),(304,1)}
        82:{2,3,4,7}:{(57,1),(67,1),(113,1),(122,1),(181,1),(189,1),(257,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(68,1),(113,1),(114,1)}
        84:{1,2,4,5,7}:{(58,1),(60,1),(63,1),(69,1),(109,1),(114,1),(115,1),(119,1),(120,1),(179,1),(186,1),(189,1),(192,1),(195,1),(251,1),(260,1),(264,1),(299,1),(302,1)}
        85:{2,6,7}:{(59,1),(114,1)}
        86:{1,3,6,7}:{(60,1),(65,1),(111,1),(115,1),(117,1),(303,1),(304,1),(314,1)}
        87:{1,4,6,7}:{(61,1),(66,1),(112,1),(119,1),(195,1),(251,1),(265,1),(300,1)}
        88:{2,5,7}:{(62,1),(64,1),(70,1)}
        89:{3,5,7}:{(63,1),(65,1),(71,1),(122,1)}
        90:{1,2,4,6,7}:{(64,1),(72,1),(116,1),(120,1),(123,1),(186,1),(191,1),(195,1),(198,1)}
        91:{2,3,6,7}:{(64,1),(65,1),(73,1),(121,1),(123,1),(187,1)}
        92:{3,4,6,7}:{(65,1),(66,1),(122,1),(125,1),(197,1),(298,1),(314,1)}
        93:{2,4,5,7}:{(66,1),(119,1),(125,1),(126,1),(192,1)}
        94:{2,3,4,5}:{(67,1),(127,1),(134,1),(206,1),(247,1),(267,1)}
        95:{1,3,4,6}:{(67,1),(68,1),(113,1),(127,1),(128,1),(203,1),(205,1)}
        96:{2,5,6}:{(68,1),(114,1),(128,1)}
        97:{1,3,5,6}:{(69,1),(71,1),(115,1),(130,1),(131,1),(177,1),(203,1),(270,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(120,1),(132,1),(209,1),(262,1),(266,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(121,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(122,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(267,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(195,1),(263,1),(268,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(163,1),(229,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(94,1),(139,1),(142,1),(159,1),(226,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(228,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(85,1),(143,1),(146,1),(149,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(87,1),(147,1),(148,1),(217,1),(230,1),(281,1),(289,1)}
       113:{1,3,4,7}:{(82,1),(83,1),(95,1),(149,1),(223,1),(225,1)}
       114:{2,5,7}:{(83,1),(85,1),(96,1),(149,1)}
       115:{1,3,5,7}:{(84,1),(86,1),(89,1),(97,1),(144,1),(151,1),(152,1),(223,1),(288,1),(309,1)}
       116:{1,2,6,7}:{(85,1),(150,1),(153,1),(311,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(151,1),(153,1),(154,1),(286,1),(311,1)}
       118:{1,3,4,6,7}:{(86,1),(87,1),(92,1),(147,1),(152,1),(154,1),(155,1),(227,1)}
       119:{1,4,5,7}:{(87,1),(93,1),(148,1),(155,1),(156,1),(228,1)}
       120:{1,2,5,7}:{(88,1),(90,1),(98,1),(157,1),(228,1),(233,1)}
       121:{2,3,5,7}:{(88,1),(89,1),(91,1),(99,1),(157,1),(158,1)}
       122:{3,4,7}:{(89,1),(100,1),(158,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(101,1),(157,1),(160,1),(223,1)}
       124:{2,3,4,6,7}:{(91,1),(92,1),(102,1),(154,1),(158,1),(161,1),(162,1),(224,1),(232,1),(286,1)}
       125:{3,5,7}:{(92,1),(93,1),(163,1)}
       126:{2,4,5,6}:{(93,1),(156,1),(163,1),(229,1),(232,1),(310,1)}
       127:{1,3,4,5}:{(94,1),(95,1),(164,1),(235,1),(240,1)}
       128:{2,4,6}:{(95,1),(96,1),(149,1),(164,1),(166,1)}
       129:{1,2,5,6}:{(96,1),(150,1),(165,1),(167,1),(291,1),(311,1)}
       130:{2,3,5,6}:{(96,1),(97,1),(151,1),(166,1),(167,1),(168,1),(229,1),(237,1),(239,1),(286,1),(291,1),(311,1)}
       131:{1,3,4,6}:{(97,1),(100,1),(152,1),(168,1),(169,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(157,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(158,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(290,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(197,1),(261,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(262,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(127,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(260,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(116,1),(179,1),(182,1),(186,1),(191,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(187,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(263,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(119,1),(184,1),(185,1),(192,1)}
       149:{2,4,7}:{(113,1),(114,1),(128,1),(187,1)}
       150:{1,2,5,7}:{(114,1),(116,1),(129,1),(186,1),(188,1),(302,1)}
       151:{2,3,5,7}:{(114,1),(115,1),(117,1),(130,1),(187,1),(188,1),(189,1),(192,1),(257,1),(302,1)}
       152:{1,3,4,7}:{(115,1),(122,1),(131,1),(181,1),(189,1),(195,1),(251,1),(263,1),(298,1)}
       153:{1,3,6,7}:{(116,1),(117,1),(188,1),(191,1),(303,1)}
       154:{2,4,6,7}:{(117,1),(118,1),(189,1),(191,1),(192,1),(261,1)}
       155:{1,3,5,7}:{(118,1),(119,1),(125,1),(184,1),(192,1),(193,1)}
       156:{1,4,5,6}:{(119,1),(126,1),(185,1),(193,1),(262,1),(265,1),(300,1)}
       157:{1,3,5,7}:{(120,1),(121,1),(123,1),(132,1),(194,1),(195,1)}
       158:{2,4,7}:{(121,1),(122,1),(133,1),(195,1)}
       159:{3,4,5,7}:{(122,1),(125,1),(134,1),(196,1),(197,1)}
       160:{2,3,6,7}:{(123,1),(135,1),(194,1),(198,1),(257,1),(304,1)}
       161:{1,3,4,6,7}:{(123,1),(124,1),(136,1),(191,1),(195,1),(198,1),(199,1),(258,1),(263,1),(265,1),(303,1),(304,1)}
       162:{2,3,5,7}:{(124,1),(125,1),(137,1),(192,1),(196,1),(199,1),(200,1)}
       163:{3,5,6}:{(125,1),(126,1),(197,1),(314,1)}
       164:{2,4,5}:{(127,1),(128,1),(202,1)}
       165:{1,2,4,6}:{(128,1),(129,1),(186,1),(201,1),(203,1),(205,1),(269,1)}
       166:{2,3,6}:{(128,1),(187,1),(202,1),(203,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(188,1),(203,1),(205,1),(262,1),(270,1),(303,1)}
       168:{2,4,6}:{(130,1),(131,1),(189,1),(205,1),(206,1)}
       169:{1,3,4,5}:{(131,1),(134,1),(206,1),(208,1),(247,1),(270,1),(271,1),(296,1),(313,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(194,1),(207,1),(209,1),(266,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(195,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(287,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(164,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(228,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(223,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(154,1),(217,1),(220,1),(221,1),(224,1),(273,1),(281,1),(286,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(156,1),(222,1),(229,1),(281,1),(289,1)}
       186:{1,2,4,7}:{(149,1),(150,1),(165,1),(223,1),(225,1),(284,1)}
       187:{2,3,7}:{(149,1),(166,1),(223,1)}
       188:{1,3,5,7}:{(150,1),(151,1),(153,1),(167,1),(223,1),(225,1),(228,1)}
       189:{2,4,7}:{(151,1),(152,1),(168,1),(225,1)}
       190:{1,3,4,5,7}:{(152,1),(155,1),(159,1),(169,1),(218,1),(226,1),(227,1),(231,1),(280,1),(285,1),(288,1),(309,1)}
       191:{1,4,6,7}:{(153,1),(154,1),(225,1),(228,1),(287,1)}
       192:{2,5,7}:{(154,1),(155,1),(228,1),(229,1)}
       193:{1,3,5,6}:{(155,1),(156,1),(163,1),(222,1),(227,1),(229,1)}
       194:{2,3,5,7}:{(157,1),(160,1),(170,1),(230,1),(233,1),(288,1)}
       195:{1,4,7}:{(157,1),(158,1),(171,1),(230,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(231,1),(232,1)}
       197:{3,4,6}:{(159,1),(163,1),(232,1)}
       198:{2,4,6,7}:{(160,1),(161,1),(173,1),(230,1),(233,1),(284,1),(289,1),(311,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(174,1),(228,1),(231,1),(233,1),(234,1),(288,1)}
       200:{2,3,5,6}:{(162,1),(163,1),(229,1),(232,1),(234,1),(286,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(235,1),(240,1),(290,1),(291,1)}
       202:{2,3,5}:{(164,1),(166,1),(235,1),(236,1)}
       203:{1,3,6}:{(165,1),(166,1),(223,1),(235,1),(237,1)}
       204:{2,3,4,6}:{(166,1),(168,1),(224,1),(236,1),(238,1),(239,1),(241,1),(286,1),(307,1)}
       205:{1,4,6}:{(167,1),(168,1),(225,1),(240,1)}
       206:{2,4,5}:{(168,1),(169,1),(239,1),(240,1),(291,1)}
       207:{2,4,6}:{(170,1),(171,1),(230,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(262,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(201,1),(243,1),(248,1),(251,1),(260,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(202,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(257,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(191,1),(251,1),(254,1),(255,1),(258,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(192,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,7}:{(186,1),(187,1),(203,1),(257,1)}
       224:{2,3,4,7}:{(187,1),(189,1),(204,1),(258,1),(259,1),(263,1),(298,1)}
       225:{1,4,7}:{(188,1),(189,1),(205,1)}
       226:{2,4,5,7}:{(189,1),(190,1),(192,1),(206,1),(259,1),(260,1),(261,1),(302,1)}
       227:{1,3,4,6}:{(190,1),(193,1),(197,1),(253,1),(261,1),(265,1),(300,1),(303,1),(304,1),(314,1)}
       228:{1,5,7}:{(191,1),(192,1),(262,1)}
       229:{2,5,6}:{(192,1),(193,1),(261,1),(262,1)}
       230:{2,4,7}:{(194,1),(195,1),(207,1),(263,1)}
       231:{1,4,5,7}:{(195,1),(196,1),(199,1),(208,1),(264,1),(265,1)}
       232:{2,4,6}:{(196,1),(197,1),(200,1),(265,1)}
       233:{2,5,7}:{(198,1),(199,1),(209,1),(266,1)}
       234:{1,3,5,6}:{(199,1),(200,1),(262,1),(265,1),(266,1),(303,1),(304,1)}
       235:{1,3,5}:{(201,1),(202,1),(203,1),(267,1),(268,1)}
       236:{2,3,4}:{(202,1),(268,1)}
       237:{2,3,6}:{(203,1),(257,1),(267,1),(269,1)}
       238:{1,3,4,6}:{(203,1),(204,1),(205,1),(258,1),(268,1),(269,1),(270,1),(303,1)}
       239:{2,3,5}:{(204,1),(206,1),(270,1),(271,1),(313,1)}
       240:{1,4,5}:{(205,1),(206,1),(270,1)}
       241:{3,4,6}:{(207,1),(263,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(287,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(235,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(236,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(284,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(228,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(229,1),(281,1),(283,1),(286,1)}
       257:{2,3,7}:{(223,1),(237,1),(284,1)}
       258:{1,3,4,7}:{(223,1),(224,1),(225,1),(238,1),(284,1),(285,1)}
       259:{2,3,5,7}:{(224,1),(226,1),(239,1),(285,1),(286,1),(288,1),(309,1)}
       260:{1,4,5,7}:{(225,1),(226,1),(228,1),(240,1),(285,1),(287,1)}
       261:{2,4,6}:{(226,1),(227,1),(229,1),(286,1),(287,1),(311,1)}
       262:{1,5,6}:{(228,1),(229,1),(287,1)}
       263:{3,4,7}:{(230,1),(241,1),(288,1)}
       264:{2,4,5,7}:{(230,1),(231,1),(233,1),(242,1),(288,1),(289,1)}
       265:{1,4,6}:{(231,1),(232,1),(234,1),(289,1)}
       266:{2,5,6}:{(233,1),(234,1),(289,1),(311,1)}
       267:{2,3,5}:{(235,1),(237,1),(290,1),(291,1)}
       268:{1,3,4}:{(235,1),(236,1),(290,1)}
       269:{2,4,6}:{(237,1),(238,1),(284,1),(290,1),(291,1),(311,1)}
       270:{1,3,5}:{(238,1),(239,1),(240,1),(291,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(267,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(268,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(262,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4,7}:{(257,1),(258,1),(269,1),(302,1)}
       285:{1,3,5,7}:{(258,1),(259,1),(260,1),(270,1),(302,1),(303,1)}
       286:{2,3,6}:{(259,1),(261,1),(303,1),(304,1),(314,1)}
       287:{1,4,6}:{(260,1),(261,1),(262,1),(303,1)}
       288:{3,5,7}:{(263,1),(264,1),(271,1),(304,1)}
       289:{2,4,6}:{(264,1),(265,1),(266,1),(304,1)}
       290:{2,4}:{(267,1),(268,1)}
       291:{2,5}:{(269,1),(270,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(290,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(284,1),(285,1),(291,1),(311,1)}
       303:{1,3,6}:{(285,1),(286,1),(287,1),(311,1)}
       304:{3,6}:{(288,1),(289,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1338 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1339 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(22,1),(62,1),(111,1),(116,1),(117,1),(139,1),(140,1),(186,1),(189,1),(211,1)}
         1:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(28,1),(36,1),(43,1),(79,1),(90,1),(93,1),(95,1),(96,1),(148,1),(152,1),(157,1),(170,1),(176,1),(231,1),(236,1),(271,1),(274,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(43,1),(82,1),(95,1),(103,1),(152,1),(176,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(44,1),(105,1),(106,1),(146,1),(178,1),(218,1)}
         4:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(51,1),(56,1),(116,1),(117,1),(189,1)}
         5:{1,3,5,6,7}:{(14,1),(15,1),(16,1),(56,1),(108,1)}
         6:{1,3,5,7}:{(1,1),(17,1),(18,1),(19,1),(62,1),(130,1),(186,1),(189,1),(205,1),(211,1),(258,1),(291,1)}
         7:{1,2,4,6}:{(1,1),(19,1),(20,1),(24,1),(61,1),(66,1),(70,1),(127,1),(141,1),(184,1),(194,1),(255,1),(289,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(69,1),(186,1),(189,1),(211,1),(248,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(53,1),(60,1),(116,1),(132,1),(139,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(70,1)}
        11:{1,3,5,6}:{(3,1),(14,1),(25,1),(26,1),(62,1),(74,1)}
        12:{1,2,4,6,7}:{(7,1),(27,1),(28,1),(30,1),(75,1),(79,1),(80,1),(152,1),(164,1),(224,1),(274,1)}
        13:{2,4,6,7}:{(4,1),(10,1),(29,1),(30,1),(31,1),(80,1),(82,1),(152,1)}
        14:{1,3,5,7}:{(4,1),(11,1),(31,1),(32,1),(84,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(33,1),(34,1),(145,1)}
        16:{1,4,6,7}:{(5,1),(32,1),(34,1),(146,1),(155,1)}
        17:{1,3,4,7}:{(6,1),(36,1),(37,1),(79,1),(151,1),(236,1),(241,1),(278,1)}
        18:{2,3,5,7}:{(6,1),(36,1),(38,1),(39,1),(43,1),(95,1),(100,1),(157,1),(160,1),(175,1),(230,1)}
        19:{1,3,6}:{(6,1),(7,1),(39,1),(178,1),(218,1),(276,1)}
        20:{1,2,5,6}:{(7,1),(28,1),(40,1),(46,1),(95,1),(104,1),(145,1),(167,1),(170,1),(227,1),(285,1)}
        21:{2,3,4,7}:{(8,1),(36,1),(41,1),(42,1),(82,1),(151,1),(160,1),(221,1),(222,1),(241,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(41,1),(43,1),(44,1),(102,1),(271,1)}
        23:{2,3,6}:{(8,1),(10,1),(44,1),(178,1),(218,1),(270,1)}
        24:{1,4,6}:{(9,1),(10,1),(44,1),(46,1)}
        25:{2,5,6}:{(10,1),(11,1),(31,1),(46,1),(95,1)}
        26:{1,4,5,6}:{(11,1),(32,1),(47,1),(96,1),(105,1),(146,1),(180,1)}
        27:{1,3,6,7}:{(12,1),(19,1),(49,1),(50,1),(189,1),(289,1),(291,1)}
        28:{1,2,5,7}:{(12,1),(20,1),(50,1),(53,1),(110,1),(115,1),(201,1),(252,1),(290,1)}
        29:{2,3,6,7}:{(13,1),(23,1),(51,1),(52,1),(56,1),(119,1),(189,1)}
        30:{1,4,6,7}:{(13,1),(24,1),(51,1),(53,1),(116,1)}
        31:{2,5,7}:{(13,1),(14,1),(25,1),(53,1)}
        32:{1,4,5,7}:{(14,1),(16,1),(26,1),(54,1),(116,1),(191,1)}
        33:{1,5,6,7}:{(15,1),(53,1),(55,1),(183,1)}
        34:{2,4,6,7}:{(15,1),(16,1),(54,1),(55,1),(56,1),(119,1),(184,1)}
        35:{1,3,4,5,7}:{(17,1),(58,1),(59,1),(62,1),(111,1),(120,1),(126,1),(186,1),(199,1),(200,1),(253,1),(254,1),(258,1),(291,1)}
        36:{2,4,7}:{(17,1),(18,1),(60,1),(61,1),(210,1),(257,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(61,1),(62,1),(66,1),(136,1)}
        38:{1,3,5,7}:{(18,1),(60,1),(63,1),(64,1),(130,1),(132,1),(205,1)}
        39:{2,3,6}:{(18,1),(19,1),(61,1),(64,1),(70,1),(194,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(50,1),(62,1),(65,1),(66,1),(205,1),(264,1),(265,1),(289,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(60,1),(67,1),(68,1),(116,1),(130,1),(189,1),(250,1),(251,1)}
        42:{2,3,4,6}:{(21,1),(23,1),(61,1),(68,1),(69,1),(72,1),(136,1),(197,1),(209,1),(213,1),(257,1),(266,1)}
        43:{2,5,7}:{(22,1),(67,1),(70,1),(138,1)}
        44:{1,3,6}:{(22,1),(23,1),(24,1),(70,1),(289,1)}
        45:{2,3,5,6}:{(23,1),(25,1),(52,1),(69,1),(71,1),(72,1),(74,1),(143,1),(213,1)}
        46:{1,5,6}:{(24,1),(25,1),(53,1),(132,1)}
        47:{2,4,5,6}:{(25,1),(26,1),(54,1),(72,1),(73,1),(74,1),(133,1),(141,1),(143,1),(184,1)}
        48:{1,3,4,6,7}:{(27,1),(37,1),(75,1),(76,1),(79,1),(146,1),(151,1),(218,1)}
        49:{2,3,6,7}:{(27,1),(39,1),(75,1),(77,1),(78,1),(80,1),(218,1),(224,1),(270,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(40,1),(78,1),(79,1),(271,1),(272,1)}
        51:{1,3,6,7}:{(29,1),(30,1),(44,1),(80,1),(81,1),(155,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(45,1),(81,1),(82,1),(84,1),(154,1),(222,1)}
        53:{1,5,7}:{(30,1),(31,1),(46,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(34,1),(47,1),(82,1),(83,1),(84,1),(152,1),(154,1)}
        55:{1,4,6,7}:{(33,1),(34,1),(83,1),(85,1),(217,1)}
        56:{3,6,7}:{(34,1),(84,1),(218,1)}
        57:{2,3,4,7}:{(36,1),(86,1),(87,1),(88,1),(100,1),(151,1),(221,1),(226,1),(278,1),(302,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(86,1),(90,1),(91,1),(95,1),(157,1),(163,1),(165,1),(226,1),(231,1),(274,1)}
        59:{1,3,4,6}:{(35,1),(91,1),(92,1),(146,1),(158,1),(218,1),(228,1),(229,1),(276,1)}
        60:{1,4,7}:{(36,1),(38,1),(94,1),(236,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(94,1),(95,1)}
        62:{1,3,5}:{(37,1),(95,1),(96,1),(172,1)}
        63:{1,2,5,7}:{(38,1),(43,1),(93,1),(97,1),(157,1),(170,1),(271,1)}
        64:{1,3,6}:{(38,1),(39,1),(94,1),(97,1)}
        65:{2,3,5,6}:{(39,1),(40,1),(78,1),(95,1),(98,1),(99,1),(104,1),(145,1),(172,1),(175,1),(178,1),(218,1),(227,1),(230,1),(238,1),(239,1),(270,1),(276,1)}
        66:{1,4,6}:{(40,1),(79,1),(96,1),(99,1),(236,1)}
        67:{2,4,7}:{(41,1),(43,1),(100,1),(101,1),(273,1)}
        68:{1,3,4,6}:{(41,1),(42,1),(44,1),(94,1),(101,1),(102,1),(105,1),(169,1),(178,1),(236,1),(240,1),(241,1),(244,1),(286,1)}
        69:{2,3,5}:{(42,1),(95,1),(102,1),(103,1),(172,1),(238,1)}
        70:{2,6}:{(43,1),(44,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(46,1),(81,1),(102,1),(104,1),(105,1),(178,1),(180,1),(244,1)}
        72:{2,4,6}:{(45,1),(82,1),(103,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(47,1),(83,1),(105,1),(107,1),(171,1),(217,1)}
        74:{3,5,6}:{(47,1),(84,1),(106,1),(172,1),(178,1),(218,1)}
        75:{2,4,6,7}:{(48,1),(49,1),(61,1),(109,1),(110,1),(114,1),(184,1)}
        76:{1,3,5,7}:{(48,1),(62,1),(108,1),(110,1),(111,1),(186,1)}
        77:{1,3,6,7}:{(49,1),(64,1),(109,1),(112,1),(113,1),(247,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(65,1),(110,1),(113,1),(114,1),(115,1),(186,1),(189,1),(248,1),(249,1),(252,1),(291,1)}
        79:{1,4,7}:{(50,1),(66,1),(114,1)}
        80:{2,6,7}:{(51,1),(70,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(71,1),(115,1),(116,1),(189,1),(191,1),(251,1)}
        82:{2,4,7}:{(52,1),(72,1),(116,1),(117,1)}
        83:{1,4,5,7}:{(53,1),(54,1),(55,1),(73,1),(116,1),(118,1)}
        84:{3,5,7}:{(54,1),(56,1),(74,1),(117,1),(189,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(118,1),(119,1),(247,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(120,1),(121,1),(124,1),(186,1),(248,1),(258,1),(291,1)}
        87:{1,3,4,7}:{(57,1),(60,1),(120,1),(122,1),(123,1),(130,1),(250,1),(253,1),(291,1),(309,1)}
        88:{2,3,4,6}:{(57,1),(61,1),(121,1),(123,1),(124,1),(136,1),(137,1),(196,1),(209,1),(210,1),(293,1),(295,1)}
        89:{1,3,4,6,7}:{(59,1),(125,1),(126,1),(182,1),(192,1),(246,1),(253,1),(254,1),(291,1)}
        90:{1,4,5,7}:{(58,1),(60,1),(120,1),(127,1),(132,1),(199,1),(201,1),(253,1)}
        91:{2,4,6}:{(58,1),(59,1),(121,1),(127,1),(128,1),(194,1)}
        92:{1,3,5,6}:{(59,1),(62,1),(126,1),(128,1),(129,1),(204,1)}
        93:{1,2,4,7}:{(60,1),(63,1),(67,1),(122,1),(130,1),(131,1),(250,1),(290,1)}
        94:{1,4,6}:{(60,1),(61,1),(64,1),(132,1)}
        95:{2,5}:{(61,1),(62,1),(132,1)}
        96:{1,4,5}:{(62,1),(66,1),(133,1),(264,1)}
        97:{1,2,6}:{(63,1),(64,1),(70,1),(194,1),(289,1)}
        98:{1,3,5,6}:{(64,1),(65,1),(113,1),(132,1),(134,1),(135,1),(183,1),(205,1),(207,1),(208,1),(247,1)}
        99:{2,4,6}:{(65,1),(66,1),(114,1),(133,1),(135,1),(136,1),(210,1),(257,1)}
       100:{2,3,7}:{(67,1),(130,1),(137,1),(189,1)}
       101:{2,4,6}:{(67,1),(68,1),(70,1),(137,1),(138,1),(210,1),(268,1),(300,1)}
       102:{1,3,5}:{(68,1),(69,1),(132,1),(138,1),(139,1),(211,1),(264,1)}
       103:{2,4,5}:{(69,1),(72,1),(139,1),(140,1),(257,1)}
       104:{2,5,6}:{(70,1),(71,1),(115,1),(138,1),(141,1),(268,1)}
       105:{1,4,6}:{(71,1),(72,1),(116,1),(139,1),(141,1)}
       106:{3,4,6}:{(72,1),(74,1),(117,1),(140,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(118,1),(142,1),(143,1),(207,1),(247,1)}
       108:{1,3,5,6}:{(76,1),(145,1),(146,1),(218,1)}
       109:{1,4,6,7}:{(75,1),(77,1),(94,1),(147,1),(150,1),(217,1)}
       110:{2,5,7}:{(75,1),(76,1),(95,1),(145,1),(147,1)}
       111:{1,4,5,7}:{(76,1),(79,1),(96,1),(146,1),(148,1),(271,1)}
       112:{1,2,6,7}:{(77,1),(80,1),(97,1),(149,1),(155,1),(224,1),(270,1),(301,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(98,1),(147,1),(149,1),(150,1),(220,1)}
       114:{2,4,7}:{(78,1),(79,1),(99,1),(150,1),(151,1)}
       115:{2,5,7}:{(80,1),(81,1),(104,1),(152,1),(273,1)}
       116:{1,4,7}:{(81,1),(82,1),(105,1),(152,1)}
       117:{3,4,7}:{(82,1),(84,1),(106,1)}
       118:{1,3,5,7}:{(83,1),(84,1),(85,1),(107,1),(153,1),(154,1)}
       119:{2,6,7}:{(85,1),(154,1),(155,1),(270,1)}
       120:{1,3,5,7}:{(86,1),(87,1),(90,1),(157,1),(158,1),(162,1),(271,1)}
       121:{2,3,6}:{(86,1),(91,1),(158,1),(218,1),(270,1),(276,1)}
       122:{2,4,7}:{(87,1),(157,1),(160,1),(161,1),(313,1)}
       123:{1,3,4,6}:{(87,1),(88,1),(94,1),(158,1),(161,1),(162,1),(169,1),(228,1),(236,1),(240,1),(276,1),(278,1),(304,1),(305,1)}
       124:{2,3,5}:{(88,1),(95,1),(162,1),(163,1),(172,1),(238,1)}
       125:{2,4,6,7}:{(89,1),(91,1),(156,1),(164,1),(165,1),(224,1),(226,1),(274,1)}
       126:{1,3,5,7}:{(89,1),(92,1),(165,1),(166,1),(234,1)}
       127:{1,4,6}:{(90,1),(91,1),(158,1),(167,1)}
       128:{2,5,6}:{(91,1),(92,1),(95,1),(165,1),(167,1)}
       129:{1,4,5,6}:{(92,1),(96,1),(146,1),(166,1),(168,1),(228,1),(282,1)}
       130:{1,3,7}:{(93,1),(100,1),(160,1),(169,1)}
       131:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(161,1),(169,1),(170,1),(236,1),(240,1),(285,1),(307,1)}
       132:{1,5}:{(94,1),(95,1)}
       133:{2,4,5}:{(95,1),(96,1),(99,1),(171,1),(172,1),(238,1)}
       134:{1,2,5,6}:{(97,1),(98,1),(104,1),(149,1),(170,1),(173,1),(180,1),(227,1),(238,1),(270,1),(282,1)}
       135:{1,4,6}:{(98,1),(99,1),(150,1),(171,1),(236,1)}
       136:{3,4,6}:{(99,1),(151,1),(172,1),(178,1),(218,1),(241,1),(276,1),(278,1)}
       137:{2,3,6}:{(100,1),(101,1),(169,1),(175,1),(178,1),(308,1)}
       138:{2,5}:{(101,1),(102,1)}
       139:{1,4,5}:{(102,1),(103,1),(105,1),(176,1),(236,1)}
       140:{3,4,5}:{(103,1),(106,1),(172,1),(278,1)}
       141:{2,4,6}:{(104,1),(105,1),(152,1),(176,1),(178,1)}
       142:{1,3,4,6}:{(105,1),(106,1),(107,1),(153,1),(177,1),(178,1),(179,1),(244,1)}
       143:{2,5,6}:{(107,1),(154,1),(179,1),(180,1),(238,1),(270,1)}
       144:{1,3,5,6,7}:{(108,1),(126,1),(181,1),(182,1),(246,1)}
       145:{2,5,6}:{(108,1),(110,1),(183,1),(184,1)}
       146:{1,4,6}:{(108,1),(111,1),(184,1),(289,1)}
       147:{1,5,7}:{(109,1),(110,1),(132,1),(183,1)}
       148:{2,4,5,7}:{(110,1),(111,1),(114,1),(133,1),(184,1),(185,1),(186,1),(248,1)}
       149:{1,2,5,7}:{(112,1),(113,1),(115,1),(134,1),(187,1),(191,1),(248,1),(252,1),(297,1)}
       150:{1,4,7}:{(113,1),(114,1),(135,1)}
       151:{3,4,7}:{(114,1),(136,1),(186,1),(189,1),(291,1)}
       152:{2,4,7}:{(115,1),(116,1),(141,1),(189,1)}
       153:{1,3,4,7}:{(116,1),(117,1),(118,1),(142,1),(189,1),(190,1),(251,1)}
       154:{2,5,7}:{(118,1),(119,1),(143,1),(190,1),(191,1)}
       155:{1,6,7}:{(119,1),(191,1),(289,1)}
       156:{2,3,6,7}:{(121,1),(125,1),(192,1),(193,1),(246,1),(288,1),(291,1)}
       157:{2,5,7}:{(120,1),(122,1),(194,1),(198,1)}
       158:{1,3,6}:{(120,1),(121,1),(127,1),(194,1),(289,1)}
       159:{2,3,5,6}:{(121,1),(124,1),(128,1),(193,1),(195,1),(196,1),(204,1),(261,1),(293,1)}
       160:{2,3,7}:{(122,1),(130,1),(197,1),(291,1)}
       161:{2,4,6}:{(122,1),(123,1),(194,1),(197,1),(198,1),(257,1),(310,1),(311,1)}
       162:{1,3,5}:{(123,1),(124,1),(132,1),(198,1),(199,1),(258,1),(264,1)}
       163:{2,4,5}:{(124,1),(196,1),(199,1),(200,1),(210,1)}
       164:{1,4,6,7}:{(125,1),(127,1),(192,1),(201,1),(253,1)}
       165:{2,5,7}:{(125,1),(126,1),(128,1),(201,1)}
       166:{1,4,5,7}:{(126,1),(129,1),(182,1),(202,1),(253,1),(297,1)}
       167:{1,5,6}:{(127,1),(128,1),(132,1),(201,1)}
       168:{2,4,5,6}:{(128,1),(129,1),(133,1),(184,1),(196,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6}:{(130,1),(131,1),(137,1),(197,1),(205,1),(312,1)}
       170:{1,2,5}:{(131,1),(132,1),(138,1),(198,1),(205,1),(264,1)}
       171:{1,4,5}:{(132,1),(133,1),(135,1),(207,1)}
       172:{3,5}:{(133,1),(136,1)}
       173:{1,2,4,6}:{(134,1),(135,1),(141,1),(187,1),(206,1),(208,1),(209,1),(214,1),(255,1),(268,1),(294,1),(310,1)}
       174:{1,3,4,6}:{(135,1),(136,1),(188,1),(207,1),(208,1),(209,1),(247,1),(262,1)}
       175:{2,3,5}:{(137,1),(138,1),(205,1),(210,1),(211,1)}
       176:{2,4,5}:{(138,1),(139,1),(141,1),(210,1),(211,1)}
       177:{1,3,4,5}:{(139,1),(140,1),(142,1),(207,1),(211,1),(212,1),(262,1),(267,1)}
       178:{3,6}:{(141,1),(189,1),(211,1)}
       179:{2,4,6}:{(142,1),(143,1),(190,1),(212,1),(213,1),(214,1),(268,1)}
       180:{1,5,6}:{(143,1),(191,1),(214,1),(264,1),(289,1)}
       181:{2,5,6,7}:{(144,1),(145,1),(165,1),(215,1),(216,1)}
       182:{1,4,6,7}:{(144,1),(146,1),(166,1),(216,1),(301,1)}
       183:{1,5,6}:{(145,1),(147,1),(217,1)}
       184:{2,4,6}:{(145,1),(146,1),(148,1),(217,1),(218,1),(270,1)}
       185:{1,4,5,7}:{(147,1),(148,1),(150,1),(171,1),(217,1),(219,1)}
       186:{3,5,7}:{(148,1),(151,1),(172,1),(218,1)}
       187:{1,2,4,7}:{(149,1),(150,1),(152,1),(173,1),(220,1),(221,1),(223,1),(273,1),(274,1),(303,1),(313,1)}
       188:{1,3,4,7}:{(150,1),(151,1),(174,1),(219,1),(220,1),(221,1)}
       189:{3,7}:{(152,1),(178,1)}
       190:{2,4,7}:{(153,1),(154,1),(179,1),(222,1),(223,1),(273,1)}
       191:{1,5,7}:{(154,1),(155,1),(180,1),(223,1)}
       192:{1,3,6,7}:{(156,1),(158,1),(164,1),(224,1),(225,1),(301,1)}
       193:{2,3,5,7}:{(156,1),(159,1),(165,1),(225,1),(226,1),(234,1),(281,1),(302,1)}
       194:{2,6}:{(157,1),(158,1)}
       195:{1,3,5,6}:{(158,1),(159,1),(162,1),(167,1),(225,1),(227,1),(228,1),(276,1),(282,1),(304,1)}
       196:{2,4,6}:{(159,1),(163,1),(226,1),(228,1),(229,1)}
       197:{2,3,6}:{(160,1),(161,1),(169,1),(230,1),(276,1),(314,1)}
       198:{2,5}:{(161,1),(162,1)}
       199:{1,4,5}:{(162,1),(163,1),(228,1),(231,1),(236,1)}
       200:{3,4,5}:{(163,1),(172,1),(229,1),(241,1)}
       201:{1,5,7}:{(164,1),(165,1),(167,1)}
       202:{2,4,5,7}:{(165,1),(166,1),(168,1),(216,1),(226,1),(233,1),(234,1),(274,1),(281,1)}
       203:{1,4,5,6}:{(167,1),(168,1),(171,1),(217,1),(228,1),(233,1),(235,1)}
       204:{3,5,6}:{(168,1),(172,1),(218,1),(229,1),(234,1),(276,1)}
       205:{1,3,5}:{(169,1),(170,1),(175,1),(230,1),(236,1)}
       206:{1,2,4,5}:{(170,1),(171,1),(173,1),(176,1),(231,1),(236,1),(237,1),(238,1),(243,1),(280,1),(283,1),(287,1),(306,1),(307,1)}
       207:{1,3,5}:{(171,1),(172,1),(174,1),(238,1)}
       208:{1,3,6}:{(173,1),(178,1),(220,1),(237,1),(239,1),(276,1)}
       209:{2,4,6}:{(174,1),(221,1),(238,1),(239,1),(240,1),(270,1),(283,1)}
       210:{2,4}:{(175,1),(236,1),(241,1)}
       211:{3,5}:{(176,1),(178,1),(241,1)}
       212:{2,4,5}:{(177,1),(179,1),(238,1),(242,1),(243,1),(283,1),(287,1)}
       213:{2,3,6}:{(178,1),(179,1),(222,1),(242,1),(244,1)}
       214:{1,4,6}:{(179,1),(180,1),(223,1),(243,1),(244,1)}
       215:{1,5,6,7}:{(181,1),(183,1),(201,1),(245,1)}
       216:{2,4,6,7}:{(181,1),(182,1),(184,1),(202,1),(245,1),(246,1),(288,1)}
       217:{1,4,6}:{(183,1),(184,1),(185,1),(247,1)}
       218:{3,6}:{(184,1),(186,1)}
       219:{1,3,5,7}:{(185,1),(186,1),(188,1),(207,1),(247,1),(248,1)}
       220:{1,3,7}:{(187,1),(189,1),(208,1),(249,1),(291,1)}
       221:{2,4,7}:{(188,1),(209,1),(248,1),(249,1),(250,1)}
       222:{2,3,7}:{(189,1),(190,1),(213,1),(251,1)}
       223:{1,4,7}:{(190,1),(191,1),(214,1),(251,1)}
       224:{2,6,7}:{(192,1),(194,1),(252,1)}
       225:{1,3,5,7}:{(192,1),(193,1),(195,1),(201,1),(252,1),(253,1),(291,1),(297,1),(309,1)}
       226:{2,4,7}:{(193,1),(196,1),(253,1),(254,1)}
       227:{2,5,6}:{(194,1),(195,1),(198,1),(252,1),(255,1),(310,1)}
       228:{1,4,6}:{(195,1),(196,1),(199,1),(253,1),(255,1)}
       229:{3,4,6}:{(196,1),(200,1),(204,1),(254,1)}
       230:{2,3,5}:{(197,1),(198,1),(205,1),(257,1),(258,1)}
       231:{2,4,5}:{(198,1),(199,1),(255,1),(257,1),(258,1)}
       232:{1,3,4,5}:{(199,1),(200,1),(207,1),(256,1),(258,1),(259,1),(262,1),(296,1)}
       233:{1,4,5,7}:{(201,1),(202,1),(203,1),(245,1),(253,1),(260,1)}
       234:{3,5,7}:{(202,1),(204,1),(246,1),(254,1),(291,1)}
       235:{1,3,5,6}:{(203,1),(204,1),(207,1),(247,1),(256,1),(260,1),(261,1)}
       236:{1,4}:{(205,1),(210,1),(257,1)}
       237:{1,3,5}:{(206,1),(208,1),(211,1),(258,1),(262,1),(263,1),(312,1)}
       238:{2,5}:{(207,1),(209,1),(264,1)}
       239:{2,3,6}:{(208,1),(209,1),(249,1),(263,1),(265,1),(268,1),(310,1)}
       240:{1,4,6}:{(209,1),(250,1),(264,1),(265,1),(289,1),(298,1)}
       241:{3,4}:{(210,1),(211,1)}
       242:{2,3,5}:{(211,1),(212,1),(213,1),(266,1),(267,1)}
       243:{1,4,5}:{(212,1),(214,1),(264,1),(267,1),(298,1)}
       244:{1,3,6}:{(213,1),(214,1),(251,1),(267,1),(268,1)}
       245:{1,4,6,7}:{(215,1),(216,1),(217,1),(233,1),(269,1)}
       246:{3,6,7}:{(216,1),(218,1),(234,1)}
       247:{1,3,6}:{(217,1),(218,1),(219,1),(270,1)}
       248:{2,5,7}:{(219,1),(221,1),(238,1),(270,1),(271,1)}
       249:{2,3,7}:{(220,1),(221,1),(239,1),(272,1),(273,1),(313,1)}
       250:{1,4,7}:{(221,1),(240,1),(271,1),(272,1)}
       251:{1,3,7}:{(222,1),(223,1),(244,1),(273,1)}
       252:{2,5,7}:{(224,1),(225,1),(227,1),(274,1),(313,1)}
       253:{1,4,7}:{(225,1),(226,1),(228,1),(274,1)}
       254:{3,4,7}:{(226,1),(229,1),(234,1)}
       255:{2,4,6}:{(227,1),(228,1),(231,1),(274,1),(276,1)}
       256:{1,3,4,6}:{(228,1),(229,1),(232,1),(235,1),(275,1),(276,1),(277,1),(304,1)}
       257:{2,4}:{(230,1),(236,1),(278,1)}
       258:{3,5}:{(231,1),(276,1),(278,1)}
       259:{2,4,5}:{(232,1),(238,1),(277,1),(279,1),(280,1),(283,1),(306,1)}
       260:{1,3,5,7}:{(233,1),(234,1),(235,1),(269,1),(275,1),(281,1)}
       261:{2,5,6}:{(235,1),(238,1),(270,1),(277,1),(281,1),(282,1)}
       262:{1,3,4}:{(236,1),(237,1),(241,1),(278,1),(283,1)}
       263:{2,3,5}:{(237,1),(238,1),(239,1),(283,1),(284,1),(287,1),(306,1),(308,1),(314,1)}
       264:{1,5}:{(238,1),(240,1)}
       265:{1,3,6}:{(239,1),(240,1),(272,1),(284,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(283,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(273,1),(287,1)}
       269:{1,3,6,7}:{(245,1),(246,1),(247,1),(260,1),(288,1)}
       270:{2,6}:{(247,1),(248,1),(289,1)}
       271:{1,5,7}:{(248,1),(250,1),(264,1),(289,1)}
       272:{1,3,7}:{(249,1),(250,1),(265,1),(290,1)}
       273:{2,7}:{(251,1),(268,1)}
       274:{2,4,7}:{(252,1),(253,1),(255,1),(291,1)}
       275:{1,3,4,7}:{(253,1),(254,1),(256,1),(260,1),(291,1),(292,1),(309,1)}
       276:{3,6}:{(255,1),(258,1),(291,1)}
       277:{2,4,6}:{(256,1),(259,1),(261,1),(292,1),(293,1),(294,1),(310,1)}
       278:{3,4}:{(257,1),(258,1)}
       279:{2,3,5}:{(258,1),(259,1),(293,1),(295,1),(296,1)}
       280:{1,4,5}:{(259,1),(264,1),(294,1),(296,1),(298,1)}
       281:{2,5,7}:{(260,1),(261,1),(288,1),(292,1),(297,1)}
       282:{1,5,6}:{(261,1),(264,1),(289,1),(294,1),(297,1)}
       283:{2,4}:{(262,1),(263,1),(298,1)}
       284:{1,3,5}:{(263,1),(264,1),(265,1),(298,1),(299,1),(312,1)}
       285:{1,2,6}:{(265,1),(268,1),(290,1),(299,1),(310,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{2,6,7}:{(269,1),(270,1),(281,1),(301,1)}
       289:{1,6}:{(270,1),(271,1)}
       290:{1,2,7}:{(272,1),(273,1),(285,1),(313,1)}
       291:{3,7}:{(274,1),(276,1)}
       292:{2,4,7}:{(275,1),(277,1),(281,1),(302,1),(303,1),(313,1)}
       293:{2,3,6}:{(276,1),(277,1),(279,1),(302,1),(304,1)}
       294:{1,4,6}:{(277,1),(280,1),(282,1),(303,1),(304,1)}
       295:{2,3,4}:{(278,1),(279,1),(283,1),(305,1),(308,1)}
       296:{1,3,5}:{(279,1),(280,1),(304,1),(305,1),(306,1)}
       297:{1,5,7}:{(281,1),(282,1),(301,1),(303,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{1,2,5}:{(284,1),(285,1),(287,1),(306,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{1,6,7}:{(288,1),(289,1),(297,1)}
       302:{2,3,7}:{(291,1),(292,1),(293,1),(309,1)}
       303:{1,4,7}:{(292,1),(294,1),(297,1),(309,1)}
       304:{1,3,6}:{(293,1),(294,1),(296,1),(309,1),(310,1)}
       305:{1,3,4}:{(295,1),(296,1),(298,1),(311,1),(312,1)}
       306:{2,5}:{(296,1),(310,1),(311,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1340 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(46,1),(135,1),(142,1),(157,1),(162,1),(197,1),(200,1),(206,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(21,1),(28,1),(107,1),(111,1),(128,1),(131,1),(174,1),(194,1),(228,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(69,1),(127,1),(224,1),(227,1),(233,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(77,1),(90,1),(135,1),(142,1),(145,1),(148,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(45,1),(90,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(14,1),(45,1),(144,1),(156,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(37,1),(82,1),(100,1),(205,1),(222,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(48,1),(98,1),(101,1),(253,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(207,1),(210,1)}
         9:{1,3,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(24,1),(54,1),(63,1),(107,1),(111,1),(121,1),(174,1),(181,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(21,1),(22,1),(177,1),(180,1)}
        11:{1,3,5,6,7}:{(4,1),(21,1),(23,1),(24,1),(63,1),(67,1),(121,1)}
        12:{2,4,6,7}:{(4,1),(22,1),(24,1),(25,1)}
        13:{1,4,5,6,7}:{(5,1),(24,1),(26,1),(27,1),(67,1),(115,1),(124,1)}
        14:{3,5,6,7}:{(5,1),(25,1),(177,1),(188,1)}
        15:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(55,1),(68,1),(107,1),(126,1),(128,1),(166,1),(228,1),(229,1),(247,1),(273,1)}
        16:{2,3,5,7}:{(6,1),(28,1),(30,1),(31,1),(73,1),(232,1),(249,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(21,1),(32,1),(33,1),(75,1),(238,1)}
        19:{2,4,5,6}:{(8,1),(22,1),(33,1),(34,1),(127,1)}
        20:{2,4,6,7}:{(9,1),(17,1),(36,1),(37,1),(82,1),(153,1),(205,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(18,1),(37,1),(38,1),(83,1),(211,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(19,1),(38,1),(39,1),(135,1)}
        23:{2,5,6,7}:{(11,1),(37,1),(42,1),(153,1)}
        24:{1,4,6,7}:{(11,1),(12,1),(38,1),(42,1)}
        25:{3,4,6,7}:{(12,1),(14,1),(39,1)}
        26:{2,4,5,6,7}:{(13,1),(42,1),(44,1),(45,1),(88,1),(93,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(45,1),(147,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(46,1),(47,1),(48,1),(97,1),(197,1),(255,1),(270,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(48,1),(49,1),(95,1),(98,1),(196,1),(253,1),(289,1)}
        30:{2,3,4,7}:{(16,1),(47,1),(50,1),(82,1),(271,1)}
        31:{2,3,6}:{(16,1),(17,1),(48,1)}
        32:{2,5,6}:{(17,1),(18,1),(37,1)}
        33:{1,4,5,6}:{(18,1),(19,1),(38,1),(52,1),(98,1)}
        34:{3,4,5,6}:{(19,1),(39,1),(158,1),(207,1)}
        35:{1,2,4,6,7}:{(20,1),(29,1),(54,1),(55,1),(104,1),(107,1),(181,1),(182,1),(229,1)}
        36:{2,3,6,7}:{(20,1),(31,1),(54,1),(57,1),(63,1),(232,1)}
        37:{2,5,7}:{(20,1),(21,1),(32,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(24,1),(33,1),(58,1),(107,1)}
        39:{3,4,5,7}:{(22,1),(25,1),(34,1),(167,1),(177,1)}
        40:{1,2,5,6,7}:{(23,1),(55,1),(60,1),(61,1),(67,1),(125,1),(165,1),(180,1),(182,1),(238,1),(239,1),(281,1)}
        41:{2,3,5,6,7}:{(23,1),(57,1),(60,1),(62,1),(63,1),(109,1),(117,1),(119,1),(180,1),(281,1),(282,1),(305,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(58,1),(63,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1),(64,1),(65,1),(121,1),(124,1),(188,1)}
        44:{3,5,6,7}:{(26,1),(63,1),(65,1),(119,1)}
        45:{2,5,6,7}:{(27,1),(64,1),(67,1),(180,1)}
        46:{2,3,5,7}:{(28,1),(68,1),(69,1),(126,1),(273,1),(274,1),(287,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(68,1),(70,1),(107,1),(167,1),(288,1)}
        48:{1,3,6}:{(28,1),(29,1),(31,1),(69,1),(224,1)}
        49:{1,2,5,6}:{(29,1),(32,1),(55,1),(71,1),(126,1),(165,1),(238,1)}
        50:{2,3,4,6}:{(30,1),(31,1),(70,1),(73,1),(74,1)}
        51:{2,3,5,6}:{(31,1),(32,1),(57,1),(71,1),(73,1),(74,1),(75,1)}
        52:{2,4,5,6}:{(32,1),(33,1),(58,1),(74,1),(75,1)}
        53:{1,3,4,5,6}:{(33,1),(34,1),(59,1),(75,1),(76,1),(122,1),(129,1),(133,1),(179,1),(186,1),(243,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(48,1),(77,1),(79,1),(255,1)}
        55:{1,2,5,7}:{(35,1),(37,1),(49,1),(79,1),(134,1),(211,1)}
        56:{2,3,4,6,7}:{(36,1),(50,1),(78,1),(81,1),(82,1),(89,1),(140,1),(148,1),(198,1),(250,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(51,1),(79,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(52,1),(82,1),(83,1)}
        59:{1,3,4,5,7}:{(38,1),(39,1),(43,1),(53,1),(83,1),(84,1),(92,1),(138,1),(143,1),(147,1),(155,1),(217,1)}
        60:{1,3,5,6,7}:{(40,1),(41,1),(79,1),(85,1),(86,1),(87,1),(136,1),(147,1),(149,1),(211,1),(260,1),(264,1)}
        61:{1,2,4,6,7}:{(40,1),(42,1),(80,1),(86,1),(87,1),(91,1),(148,1),(153,1),(156,1),(196,1),(253,1),(289,1),(294,1)}
        62:{2,4,6,7}:{(41,1),(82,1),(86,1),(88,1),(89,1),(140,1),(294,1),(297,1)}
        63:{3,6,7}:{(42,1),(83,1)}
        64:{2,4,6,7}:{(43,1),(45,1),(84,1),(90,1),(91,1),(153,1)}
        65:{3,4,6,7}:{(44,1),(92,1),(93,1)}
        66:{2,3,5,6,7}:{(44,1),(45,1),(90,1),(93,1),(94,1),(151,1)}
        67:{1,5,6,7}:{(45,1),(91,1),(211,1)}
        68:{2,4,7}:{(46,1),(47,1),(95,1),(300,1)}
        69:{2,3,6}:{(46,1),(48,1),(95,1),(289,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(50,1),(95,1),(97,1),(98,1),(158,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(79,1),(96,1),(97,1),(98,1)}
        72:{1,2,4,5,6}:{(49,1),(52,1),(80,1),(98,1),(99,1),(103,1),(146,1),(157,1),(160,1),(164,1),(196,1),(210,1),(216,1),(220,1),(221,1),(253,1),(263,1),(268,1),(289,1),(294,1),(298,1),(312,1)}
        73:{2,3,5}:{(50,1),(97,1),(100,1)}
        74:{2,4,6}:{(51,1),(82,1),(98,1),(100,1),(101,1)}
        75:{3,5,6}:{(52,1),(83,1),(101,1)}
        76:{2,4,5,6}:{(53,1),(84,1),(102,1),(103,1),(160,1),(164,1),(210,1)}
        77:{2,3,6,7}:{(54,1),(69,1),(104,1),(105,1),(224,1),(274,1)}
        78:{1,3,4,6,7}:{(54,1),(56,1),(70,1),(104,1),(106,1),(107,1),(167,1),(168,1),(181,1),(224,1),(226,1),(272,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(57,1),(71,1),(105,1),(107,1)}
        80:{1,2,4,5,7}:{(55,1),(58,1),(61,1),(72,1),(107,1),(108,1),(113,1),(115,1),(166,1),(170,1),(175,1),(180,1),(187,1),(228,1),(229,1),(239,1),(273,1),(280,1),(284,1)}
        81:{2,3,5,7}:{(56,1),(73,1),(106,1),(109,1),(110,1),(119,1),(180,1)}
        82:{2,4,7}:{(57,1),(74,1),(107,1),(111,1)}
        83:{3,5,7}:{(58,1),(63,1),(75,1),(111,1)}
        84:{2,4,5,7}:{(59,1),(64,1),(76,1),(112,1),(113,1),(170,1),(175,1),(180,1)}
        85:{2,3,5,6,7}:{(60,1),(105,1),(114,1),(117,1),(125,1),(165,1),(177,1),(180,1),(188,1),(224,1),(235,1),(242,1)}
        86:{1,4,6,7}:{(60,1),(62,1),(107,1),(114,1),(115,1),(168,1),(279,1),(284,1)}
        87:{1,3,6,7}:{(61,1),(63,1),(108,1),(117,1),(188,1),(224,1),(272,1),(305,1)}
        88:{2,4,5,7}:{(62,1),(115,1),(118,1),(119,1),(180,1)}
        89:{3,4,6,7}:{(62,1),(63,1),(111,1),(119,1),(172,1),(305,1),(306,1)}
        90:{2,3,6,7}:{(63,1),(64,1),(112,1),(121,1),(188,1)}
        91:{1,4,6,7}:{(64,1),(67,1),(113,1),(121,1)}
        92:{3,4,5,7}:{(65,1),(119,1),(122,1),(123,1),(306,1)}
        93:{2,4,6,7}:{(65,1),(66,1),(123,1),(124,1)}
        94:{1,3,5,6,7}:{(66,1),(67,1),(121,1),(124,1),(125,1),(184,1),(188,1)}
        95:{2,4,6}:{(68,1),(69,1),(70,1),(126,1)}
        96:{2,3,5,6}:{(69,1),(71,1),(105,1),(126,1),(127,1),(165,1),(189,1),(224,1)}
        97:{1,3,5}:{(70,1),(73,1),(126,1),(128,1),(189,1)}
        98:{1,4,6}:{(71,1),(74,1),(107,1),(127,1),(128,1)}
        99:{1,3,5,6}:{(72,1),(75,1),(108,1),(129,1),(130,1),(189,1),(224,1),(243,1),(245,1),(248,1),(272,1),(305,1),(314,1)}
       100:{2,4,5}:{(73,1),(74,1),(128,1),(131,1)}
       101:{3,4,6}:{(74,1),(75,1),(111,1),(131,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(112,1),(132,1),(133,1),(243,1)}
       103:{1,4,5,6}:{(76,1),(113,1),(133,1),(192,1),(238,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(95,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(96,1),(134,1),(135,1),(197,1)}
       106:{1,3,5,7}:{(78,1),(81,1),(97,1),(134,1),(136,1),(137,1),(197,1),(211,1)}
       107:{1,4,7}:{(79,1),(82,1),(98,1),(135,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(87,1),(99,1),(138,1),(139,1),(197,1),(217,1),(255,1),(295,1)}
       109:{2,3,5,6}:{(81,1),(136,1),(140,1),(150,1),(210,1),(250,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(100,1),(137,1),(140,1),(141,1)}
       111:{3,4,7}:{(82,1),(83,1),(101,1)}
       112:{2,3,5,7}:{(83,1),(84,1),(90,1),(102,1),(142,1),(143,1),(217,1)}
       113:{1,4,5,7}:{(84,1),(91,1),(103,1),(143,1),(201,1),(211,1)}
       114:{2,4,6,7}:{(85,1),(86,1),(135,1),(144,1),(145,1),(196,1),(258,1),(266,1)}
       115:{1,4,5,7}:{(86,1),(88,1),(144,1),(146,1),(147,1),(211,1)}
       116:{1,3,4,6,7}:{(86,1),(87,1),(89,1),(138,1),(145,1),(147,1),(148,1),(199,1)}
       117:{2,3,6,7}:{(87,1),(139,1),(148,1),(149,1),(153,1),(250,1),(289,1)}
       118:{2,4,5,6}:{(88,1),(140,1),(146,1),(150,1),(210,1),(294,1)}
       119:{3,5,7}:{(88,1),(89,1),(150,1)}
       120:{2,3,4,6,7}:{(89,1),(90,1),(93,1),(142,1),(148,1),(151,1),(152,1),(203,1),(262,1),(297,1)}
       121:{1,3,6,7}:{(90,1),(91,1),(143,1),(153,1)}
       122:{3,4,5,6}:{(92,1),(150,1),(154,1),(311,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(151,1),(154,1),(155,1),(297,1)}
       124:{1,4,6,7}:{(93,1),(94,1),(155,1),(156,1)}
       125:{2,5,6,7}:{(94,1),(153,1),(156,1),(214,1)}
       126:{2,5}:{(95,1),(97,1)}
       127:{2,4,6}:{(96,1),(98,1),(135,1),(157,1),(158,1)}
       128:{1,4,5}:{(97,1),(98,1),(100,1),(157,1)}
       129:{1,3,4,6}:{(98,1),(99,1),(101,1),(138,1),(158,1),(159,1),(160,1),(267,1),(298,1),(311,1)}
       130:{2,3,5,6}:{(99,1),(139,1),(160,1),(161,1),(164,1),(210,1),(218,1),(223,1),(250,1),(268,1),(269,1),(289,1)}
       131:{3,4,5}:{(100,1),(101,1)}
       132:{2,3,4,6}:{(101,1),(102,1),(142,1),(160,1),(162,1),(163,1),(267,1),(269,1)}
       133:{1,3,5,6}:{(102,1),(103,1),(143,1),(163,1),(164,1)}
       134:{2,5,7}:{(104,1),(106,1),(126,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(127,1),(167,1)}
       136:{1,3,5,6}:{(106,1),(109,1),(165,1),(168,1),(224,1),(238,1),(272,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(110,1),(128,1),(166,1),(168,1)}
       138:{1,3,4,7}:{(107,1),(108,1),(111,1),(129,1),(167,1),(170,1),(244,1),(284,1),(306,1)}
       139:{2,3,5,7}:{(108,1),(117,1),(130,1),(170,1),(171,1),(175,1),(180,1),(232,1),(273,1),(274,1)}
       140:{2,4,6}:{(109,1),(110,1),(168,1),(172,1)}
       141:{3,4,5,7}:{(110,1),(111,1),(119,1),(131,1),(172,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(132,1),(170,1),(174,1),(244,1),(274,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(121,1),(133,1),(174,1),(175,1)}
       144:{2,4,5,7}:{(114,1),(115,1),(176,1),(177,1),(180,1)}
       145:{3,4,6,7}:{(114,1),(167,1),(177,1),(188,1),(224,1),(233,1),(244,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(168,1),(176,1),(179,1),(238,1),(279,1)}
       147:{1,3,5,7}:{(115,1),(116,1),(119,1),(177,1),(179,1),(180,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(170,1),(180,1),(181,1),(227,1)}
       149:{1,3,6,7}:{(117,1),(171,1),(181,1),(182,1),(272,1)}
       150:{3,5,6}:{(118,1),(119,1),(172,1),(305,1)}
       151:{2,3,5,7}:{(119,1),(120,1),(123,1),(180,1),(183,1),(184,1)}
       152:{1,3,4,6,7}:{(120,1),(121,1),(124,1),(174,1),(181,1),(184,1),(185,1),(188,1),(230,1),(240,1),(244,1),(284,1)}
       153:{2,6,7}:{(121,1),(175,1)}
       154:{2,4,5,6}:{(122,1),(123,1),(183,1),(186,1),(307,1)}
       155:{1,4,5,7}:{(123,1),(124,1),(184,1),(186,1),(187,1),(284,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(187,1),(188,1)}
       157:{2,4,5}:{(126,1),(127,1),(128,1),(189,1)}
       158:{3,4,6}:{(127,1),(167,1),(189,1),(224,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(131,1),(189,1),(191,1),(245,1),(286,1),(308,1),(314,1)}
       160:{2,4,6}:{(129,1),(130,1),(170,1),(191,1),(192,1)}
       161:{1,3,5,6}:{(130,1),(171,1),(192,1),(193,1),(238,1),(245,1),(248,1),(272,1)}
       162:{2,3,4,5}:{(131,1),(132,1),(191,1),(194,1),(286,1),(287,1)}
       163:{1,3,4,6}:{(132,1),(133,1),(174,1),(192,1),(194,1),(195,1),(248,1)}
       164:{2,5,6}:{(133,1),(175,1),(195,1)}
       165:{2,5,6}:{(134,1),(136,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(157,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(158,1),(197,1)}
       168:{1,4,6}:{(136,1),(137,1),(140,1),(196,1)}
       169:{1,3,4,5,7}:{(137,1),(138,1),(141,1),(147,1),(159,1),(197,1),(199,1),(200,1),(206,1),(251,1),(259,1),(295,1)}
       170:{2,4,7}:{(138,1),(139,1),(160,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(149,1),(161,1),(201,1),(202,1),(211,1),(255,1)}
       172:{3,4,6}:{(140,1),(141,1),(150,1)}
       173:{2,3,4,5,7}:{(141,1),(142,1),(151,1),(162,1),(200,1),(203,1),(204,1),(290,1),(295,1),(297,1),(312,1)}
       174:{1,3,4,7}:{(142,1),(143,1),(163,1),(201,1),(205,1),(255,1)}
       175:{2,5,7}:{(143,1),(153,1),(164,1),(205,1)}
       176:{2,4,5,6}:{(144,1),(146,1),(196,1),(207,1),(210,1),(258,1)}
       177:{3,5,7}:{(144,1),(145,1),(207,1)}
       178:{2,3,4,6,7}:{(145,1),(148,1),(198,1),(208,1),(209,1),(215,1),(250,1),(258,1),(266,1),(293,1)}
       179:{1,3,5,6}:{(146,1),(147,1),(150,1),(199,1),(207,1),(210,1)}
       180:{2,5,7}:{(147,1),(148,1),(210,1),(211,1)}
       181:{1,4,6,7}:{(148,1),(149,1),(201,1),(211,1),(253,1)}
       182:{1,2,6,7}:{(149,1),(153,1),(202,1),(289,1)}
       183:{2,3,5,6}:{(150,1),(151,1),(154,1),(203,1),(210,1),(213,1)}
       184:{1,3,5,7}:{(151,1),(152,1),(155,1),(211,1),(213,1),(214,1),(217,1)}
       185:{2,4,6,7}:{(152,1),(153,1),(205,1),(214,1),(215,1),(256,1),(266,1)}
       186:{1,4,5,6}:{(154,1),(155,1),(213,1),(216,1),(298,1)}
       187:{2,4,5,7}:{(155,1),(156,1),(214,1),(216,1),(217,1),(266,1)}
       188:{3,6,7}:{(156,1),(217,1)}
       189:{3,5}:{(157,1),(158,1)}
       190:{2,3,4,6}:{(158,1),(160,1),(198,1),(218,1),(219,1),(223,1),(250,1),(271,1),(311,1)}
       191:{2,4,5}:{(159,1),(160,1),(218,1),(220,1),(268,1)}
       192:{1,4,6}:{(160,1),(161,1),(201,1),(220,1)}
       193:{1,2,5,6}:{(161,1),(164,1),(202,1),(221,1),(268,1),(289,1)}
       194:{1,3,4,5}:{(162,1),(163,1),(220,1),(222,1),(270,1)}
       195:{2,4,6}:{(163,1),(164,1),(205,1),(222,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(168,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(189,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(170,1),(190,1),(225,1),(226,1),(232,1),(306,1)}
       199:{1,3,4,6}:{(168,1),(169,1),(172,1),(179,1),(224,1),(227,1),(233,1),(272,1),(279,1),(305,1)}
       200:{2,4,5,7}:{(169,1),(170,1),(180,1),(191,1),(225,1),(227,1),(228,1),(273,1)}
       201:{1,4,7}:{(170,1),(171,1),(192,1)}
       202:{1,2,5,7}:{(171,1),(175,1),(182,1),(193,1),(229,1),(273,1)}
       203:{2,3,4,6}:{(172,1),(173,1),(183,1),(227,1),(230,1),(301,1),(305,1),(307,1)}
       204:{1,3,4,5,7}:{(173,1),(174,1),(184,1),(194,1),(228,1),(230,1),(231,1),(244,1),(276,1),(284,1),(286,1),(308,1)}
       205:{2,4,7}:{(174,1),(175,1),(195,1),(232,1)}
       206:{3,4,5,7}:{(177,1),(233,1),(234,1),(244,1),(286,1)}
       207:{3,5,6}:{(176,1),(177,1),(224,1),(233,1)}
       208:{2,3,5,7}:{(177,1),(178,1),(180,1),(234,1),(235,1),(236,1),(304,1)}
       209:{1,3,4,6,7}:{(178,1),(181,1),(226,1),(236,1),(237,1),(240,1),(272,1),(279,1),(284,1),(303,1),(305,1),(306,1)}
       210:{2,5,6}:{(179,1),(180,1),(227,1),(238,1)}
       211:{1,5,7}:{(180,1),(181,1),(238,1)}
       212:{1,2,4,6,7}:{(181,1),(182,1),(185,1),(229,1),(237,1),(239,1),(240,1),(275,1),(284,1)}
       213:{1,3,5,6}:{(183,1),(184,1),(186,1),(230,1),(238,1),(241,1),(243,1)}
       214:{2,5,7}:{(184,1),(185,1),(241,1)}
       215:{2,3,6,7}:{(185,1),(188,1),(232,1),(240,1),(242,1),(277,1)}
       216:{2,4,5,6}:{(186,1),(187,1),(241,1),(243,1),(285,1)}
       217:{3,5,7}:{(187,1),(188,1),(243,1),(244,1)}
       218:{2,3,5}:{(189,1),(190,1),(191,1),(245,1),(314,1)}
       219:{1,3,4,6}:{(190,1),(192,1),(226,1),(245,1),(246,1),(248,1),(272,1),(288,1)}
       220:{1,4,5}:{(191,1),(192,1),(245,1)}
       221:{1,2,4,6}:{(192,1),(193,1),(195,1),(229,1),(246,1),(247,1),(248,1)}
       222:{2,4,5}:{(194,1),(195,1),(249,1)}
       223:{2,3,6}:{(195,1),(232,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(200,1),(218,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,7}:{(198,1),(201,1),(219,1),(251,1),(252,1),(255,1)}
       227:{2,4,6}:{(199,1),(200,1),(210,1),(250,1),(253,1),(289,1)}
       228:{1,4,5,7}:{(200,1),(201,1),(211,1),(220,1),(251,1),(253,1)}
       229:{1,2,4,7}:{(201,1),(202,1),(205,1),(221,1),(252,1),(255,1)}
       230:{1,3,4,6}:{(203,1),(204,1),(213,1),(253,1),(256,1),(267,1),(291,1),(298,1)}
       231:{2,4,5,7}:{(204,1),(205,1),(214,1),(222,1),(256,1),(257,1),(266,1),(299,1)}
       232:{2,3,7}:{(205,1),(223,1),(255,1)}
       233:{3,4,6}:{(206,1),(207,1),(258,1)}
       234:{2,4,5,7}:{(206,1),(208,1),(258,1),(259,1),(266,1),(299,1)}
       235:{2,3,5,6}:{(207,1),(208,1),(210,1),(250,1),(258,1),(260,1)}
       236:{1,3,5,7}:{(208,1),(209,1),(211,1),(259,1),(260,1),(261,1),(295,1),(310,1)}
       237:{2,4,6,7}:{(209,1),(252,1),(261,1),(262,1),(289,1),(294,1),(297,1),(309,1)}
       238:{1,5,6}:{(210,1),(211,1),(253,1)}
       239:{1,2,5,7}:{(211,1),(212,1),(214,1),(261,1),(263,1),(264,1)}
       240:{1,3,6,7}:{(212,1),(215,1),(255,1),(262,1),(264,1),(291,1)}
       241:{2,5,6}:{(213,1),(214,1),(256,1)}
       242:{2,3,5,7}:{(214,1),(215,1),(217,1),(264,1),(265,1),(266,1)}
       243:{3,5,6}:{(216,1),(217,1),(267,1)}
       244:{3,4,7}:{(217,1),(266,1),(267,1)}
       245:{1,3,5}:{(218,1),(219,1),(220,1),(268,1)}
       246:{2,4,6}:{(219,1),(252,1),(268,1),(269,1),(289,1),(300,1)}
       247:{1,2,4,5}:{(220,1),(221,1),(222,1),(268,1),(270,1),(300,1)}
       248:{1,3,6}:{(221,1),(223,1),(255,1),(269,1),(270,1)}
       249:{2,3,5}:{(222,1),(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(228,1),(245,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(246,1),(273,1),(274,1)}
       253:{1,4,6}:{(227,1),(228,1),(238,1),(272,1)}
       254:{1,2,4,5,7}:{(228,1),(229,1),(231,1),(239,1),(247,1),(273,1),(275,1),(276,1),(280,1),(284,1),(302,1),(308,1),(313,1)}
       255:{1,3,7}:{(229,1),(232,1),(248,1),(274,1)}
       256:{2,4,6}:{(230,1),(231,1),(241,1),(277,1)}
       257:{2,3,5,7}:{(231,1),(232,1),(249,1),(276,1),(277,1),(278,1),(304,1)}
       258:{2,4,6}:{(233,1),(234,1),(235,1),(279,1)}
       259:{1,4,5,7}:{(234,1),(236,1),(279,1),(280,1),(284,1),(308,1)}
       260:{1,3,5,6}:{(235,1),(236,1),(238,1),(272,1),(279,1),(281,1),(305,1)}
       261:{2,5,7}:{(236,1),(237,1),(281,1),(313,1)}
       262:{2,3,6,7}:{(237,1),(240,1),(274,1),(282,1),(301,1),(305,1)}
       263:{1,2,5,6}:{(238,1),(239,1),(241,1),(275,1),(281,1),(283,1),(313,1)}
       264:{1,3,5,7}:{(239,1),(240,1),(242,1),(282,1),(283,1),(284,1)}
       265:{2,3,5,6}:{(241,1),(242,1),(243,1),(277,1),(283,1),(285,1),(304,1)}
       266:{2,4,7}:{(242,1),(244,1),(284,1),(285,1)}
       267:{3,4,6}:{(243,1),(244,1),(285,1),(286,1)}
       268:{2,5}:{(245,1),(246,1)}
       269:{2,3,6}:{(246,1),(248,1),(274,1),(287,1)}
       270:{1,3,5}:{(247,1),(248,1),(249,1),(287,1),(288,1)}
       271:{2,3,4}:{(249,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(253,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(268,1),(289,1)}
       274:{2,3,7}:{(252,1),(255,1),(269,1)}
       275:{1,2,4,6}:{(253,1),(254,1),(256,1),(263,1),(289,1),(291,1),(294,1),(298,1),(309,1)}
       276:{1,3,5,7}:{(254,1),(255,1),(257,1),(270,1),(290,1),(291,1),(292,1),(295,1),(310,1)}
       277:{2,3,6}:{(256,1),(257,1),(291,1)}
       278:{2,3,4,7}:{(257,1),(266,1),(271,1),(292,1),(293,1)}
       279:{1,4,6}:{(258,1),(259,1),(260,1),(294,1)}
       280:{2,4,5,7}:{(259,1),(261,1),(294,1),(295,1),(297,1),(312,1)}
       281:{2,5,6}:{(260,1),(261,1),(289,1),(294,1)}
       282:{2,3,5,7}:{(261,1),(262,1),(264,1),(295,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(263,1),(264,1),(265,1),(291,1),(296,1),(298,1),(310,1)}
       284:{1,4,7}:{(264,1),(266,1),(297,1),(298,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(298,1),(299,1)}
       286:{3,4,5}:{(267,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(270,1),(300,1)}
       288:{1,3,4}:{(270,1),(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(276,1),(287,1),(301,1),(302,1),(313,1)}
       291:{1,3,6}:{(275,1),(276,1),(277,1),(301,1),(305,1)}
       292:{1,3,4,7}:{(276,1),(278,1),(284,1),(288,1),(302,1),(303,1),(306,1)}
       293:{2,3,4,6}:{(277,1),(278,1),(285,1),(303,1),(304,1)}
       294:{2,4,6}:{(279,1),(280,1),(281,1),(305,1)}
       295:{3,5,7}:{(280,1),(305,1),(306,1),(314,1)}
       296:{2,3,5,6}:{(281,1),(282,1),(283,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       297:{2,4,7}:{(282,1),(284,1),(306,1),(307,1)}
       298:{1,4,6}:{(283,1),(284,1),(285,1),(307,1),(308,1)}
       299:{2,4,5}:{(285,1),(286,1),(304,1),(308,1)}
       300:{2,4}:{(287,1),(288,1)}
       301:{2,3,6}:{(289,1),(290,1),(291,1),(309,1)}
       302:{2,4,7}:{(290,1),(292,1),(300,1),(309,1)}
       303:{1,3,4,6}:{(291,1),(292,1),(293,1),(298,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(293,1),(299,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{3,4,7}:{(295,1),(297,1),(311,1)}
       307:{2,4,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       308:{1,4,5}:{(298,1),(299,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1341 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(25,1),(72,1),(73,1),(218,1),(219,1),(228,1),(271,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(37,1),(51,1),(99,1),(107,1),(174,1),(247,1),(255,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(255,1),(263,1),(301,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(11,1),(14,1),(34,1),(53,1),(89,1),(99,1),(106,1),(180,1),(257,1),(264,1),(302,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(47,1),(48,1),(108,1),(112,1),(183,1),(184,1),(186,1),(193,1),(239,1)}
         5:{1,2,4,7}:{(10,1),(13,1),(14,1),(15,1),(53,1),(302,1),(303,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(28,1),(64,1),(72,1),(73,1),(144,1)}
         7:{3,4,6}:{(1,1),(19,1),(20,1),(281,1),(288,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(22,1),(23,1),(27,1),(66,1),(296,1),(327,1)}
         9:{2,3,6}:{(2,1),(19,1),(23,1),(288,1),(295,1),(326,1)}
        10:{2,4,7}:{(3,1),(22,1),(25,1),(26,1),(291,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(31,1),(60,1),(76,1),(83,1),(86,1),(125,1),(128,1),(136,1),(146,1),(148,1),(223,1),(224,1),(231,1),(274,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(144,1),(221,1),(230,1),(273,1)}
        13:{1,2,5,7}:{(5,1),(22,1),(29,1),(30,1),(32,1),(327,1)}
        14:{1,3,7}:{(5,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(26,1),(30,1),(31,1),(32,1),(83,1),(86,1),(274,1),(275,1),(276,1)}
        16:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(89,1),(264,1),(265,1)}
        17:{3,4,6,7}:{(7,1),(36,1),(37,1),(95,1),(107,1),(169,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(38,1),(39,1),(50,1),(53,1),(89,1),(97,1),(106,1),(118,1),(162,1)}
        19:{2,4,6}:{(6,1),(7,1),(9,1),(39,1),(40,1)}
        20:{3,5,6}:{(7,1),(37,1),(40,1),(41,1),(174,1)}
        21:{2,3,6,7}:{(9,1),(36,1),(42,1),(43,1),(169,1),(245,1)}
        22:{2,5,7}:{(8,1),(10,1),(45,1),(49,1)}
        23:{1,3,6}:{(8,1),(9,1),(39,1),(45,1),(100,1),(322,1),(347,1)}
        24:{2,3,5,6}:{(9,1),(12,1),(40,1),(43,1),(46,1),(47,1),(103,1),(177,1),(184,1)}
        25:{2,3,7}:{(10,1),(14,1),(34,1),(48,1),(180,1)}
        26:{2,4,6}:{(10,1),(11,1),(45,1),(48,1),(49,1),(112,1),(260,1),(261,1)}
        27:{1,3,5}:{(11,1),(12,1),(49,1),(50,1),(113,1),(118,1),(162,1),(174,1),(266,1),(304,1)}
        28:{2,4,5}:{(12,1),(47,1),(50,1),(51,1),(112,1)}
        29:{1,3,5,7}:{(13,1),(14,1),(44,1),(53,1),(54,1),(56,1),(118,1)}
        30:{1,2,6}:{(13,1),(45,1),(54,1),(347,1)}
        31:{1,3,6}:{(14,1),(15,1),(48,1),(56,1),(306,1)}
        32:{1,2,5}:{(15,1),(49,1),(56,1),(118,1),(304,1)}
        33:{1,2,5,7}:{(16,1),(22,1),(58,1),(59,1),(61,1),(296,1)}
        34:{1,3,7}:{(16,1),(25,1),(60,1)}
        35:{1,2,4,6}:{(16,1),(26,1),(59,1),(60,1),(61,1),(125,1),(128,1),(231,1),(232,1),(233,1)}
        36:{2,4,6,7}:{(17,1),(19,1),(21,1),(63,1),(64,1),(72,1)}
        37:{3,5,7}:{(17,1),(20,1),(64,1),(65,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(66,1),(67,1),(73,1),(79,1),(133,1),(142,1),(144,1),(209,1),(212,1)}
        39:{1,4,6}:{(18,1),(19,1),(23,1),(67,1),(68,1)}
        40:{2,5,6}:{(19,1),(20,1),(64,1),(68,1),(144,1)}
        41:{4,5,6}:{(20,1),(65,1),(212,1),(281,1)}
        42:{1,3,6,7}:{(21,1),(23,1),(63,1),(70,1),(71,1),(132,1),(280,1)}
        43:{2,3,5,7}:{(21,1),(24,1),(64,1),(71,1),(72,1),(135,1),(211,1),(219,1)}
        44:{2,3,5,7}:{(22,1),(25,1),(29,1),(58,1),(66,1),(73,1),(74,1),(78,1),(144,1)}
        45:{2,6}:{(22,1),(23,1)}
        46:{1,3,5,6}:{(23,1),(24,1),(27,1),(68,1),(71,1),(75,1),(76,1),(137,1),(146,1),(215,1),(223,1)}
        47:{2,4,6}:{(24,1),(28,1),(72,1),(76,1),(77,1)}
        48:{2,3,6}:{(25,1),(26,1),(31,1),(60,1),(78,1),(146,1),(294,1)}
        49:{2,5}:{(26,1),(27,1)}
        50:{1,4,5}:{(27,1),(28,1),(76,1),(79,1),(86,1),(128,1),(212,1)}
        51:{3,4,5}:{(28,1),(77,1),(148,1),(221,1),(391,1)}
        52:{1,2,6,7}:{(30,1),(70,1),(81,1),(82,1),(280,1),(295,1),(334,1),(363,1)}
        53:{1,4,7}:{(29,1),(73,1),(83,1),(86,1)}
        54:{1,3,6}:{(29,1),(30,1),(74,1),(83,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(75,1),(82,1),(84,1),(85,1),(215,1),(230,1),(275,1),(287,1),(295,1),(329,1),(363,1)}
        56:{1,3,5}:{(31,1),(32,1),(78,1),(86,1)}
        57:{1,2,4,5}:{(32,1),(79,1),(85,1),(86,1),(87,1),(150,1),(154,1),(157,1),(225,1),(230,1),(276,1),(329,1),(338,1),(365,1)}
        58:{1,3,5,7}:{(33,1),(34,1),(44,1),(89,1),(90,1),(92,1),(162,1)}
        59:{1,2,6}:{(33,1),(45,1),(90,1),(322,1)}
        60:{1,3,6}:{(34,1),(35,1),(48,1),(92,1),(268,1)}
        61:{1,2,5}:{(35,1),(49,1),(92,1),(162,1),(266,1)}
        62:{3,5,6,7}:{(37,1),(94,1),(95,1),(169,1),(246,1),(378,1)}
        63:{1,4,6,7}:{(36,1),(39,1),(42,1),(96,1),(97,1),(106,1)}
        64:{2,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        65:{4,5,7}:{(37,1),(41,1),(95,1)}
        66:{3,5,7}:{(38,1),(99,1),(100,1),(113,1),(174,1),(180,1)}
        67:{2,4,6}:{(38,1),(39,1),(45,1),(100,1),(101,1),(175,1)}
        68:{1,5,6}:{(39,1),(40,1),(97,1),(101,1),(118,1),(162,1)}
        69:{2,4,5,6}:{(40,1),(41,1),(47,1),(98,1),(102,1),(103,1),(177,1),(182,1),(254,1),(316,1),(377,1),(389,1)}
        70:{2,6,7}:{(42,1),(45,1),(105,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(46,1),(97,1),(105,1),(106,1),(171,1),(180,1),(250,1),(257,1)}
        72:{2,4,7}:{(43,1),(47,1),(106,1),(107,1)}
        73:{2,4,7}:{(44,1),(53,1),(89,1),(99,1),(108,1),(112,1)}
        74:{2,3,6}:{(44,1),(45,1),(54,1),(90,1),(100,1),(108,1)}
        75:{2,5,6}:{(45,1),(46,1),(49,1),(105,1),(110,1),(260,1)}
        76:{1,4,6}:{(46,1),(47,1),(50,1),(106,1),(110,1),(175,1)}
        77:{3,4,6}:{(47,1),(51,1),(103,1),(107,1),(389,1)}
        78:{2,3,5}:{(48,1),(49,1),(56,1),(92,1),(112,1),(113,1)}
        79:{2,4,5}:{(49,1),(50,1),(110,1),(112,1),(113,1)}
        80:{1,3,4,5}:{(50,1),(51,1),(111,1),(113,1),(114,1),(121,1),(165,1),(187,1),(192,1),(238,1),(251,1),(315,1),(357,1)}
        81:{1,3,6,7}:{(52,1),(54,1),(104,1),(115,1),(116,1),(262,1),(347,1),(375,1)}
        82:{1,2,5,7}:{(52,1),(55,1),(105,1),(116,1),(117,1),(250,1),(263,1),(303,1),(314,1)}
        83:{1,4,6}:{(53,1),(54,1),(108,1),(118,1)}
        84:{1,3,5,6}:{(54,1),(55,1),(56,1),(109,1),(116,1),(118,1),(119,1),(120,1),(188,1),(192,1),(240,1),(262,1),(304,1),(347,1),(350,1),(375,1),(388,1)}
        85:{1,2,4,6}:{(55,1),(57,1),(110,1),(117,1),(119,1),(120,1),(185,1),(193,1),(260,1),(316,1)}
        86:{1,4}:{(56,1),(112,1)}
        87:{1,3,5}:{(57,1),(113,1),(120,1),(121,1),(122,1),(306,1),(357,1)}
        88:{1,2,6,7}:{(59,1),(70,1),(123,1),(124,1),(280,1),(326,1),(334,1),(344,1)}
        89:{1,4,7}:{(58,1),(73,1),(125,1),(128,1)}
        90:{1,3,6}:{(58,1),(59,1),(74,1),(125,1)}
        91:{1,2,5,6}:{(59,1),(61,1),(75,1),(124,1),(126,1),(127,1),(215,1),(232,1),(273,1),(287,1),(298,1),(326,1),(344,1)}
        92:{1,3,5}:{(60,1),(61,1),(78,1),(128,1)}
        93:{1,2,4,5}:{(61,1),(79,1),(127,1),(128,1),(129,1),(150,1),(200,1),(203,1),(225,1),(233,1),(273,1),(298,1),(338,1),(346,1)}
        94:{2,5,6,7}:{(62,1),(64,1),(130,1),(131,1),(216,1),(367,1)}
        95:{4,6,7}:{(62,1),(65,1),(281,1),(385,1)}
        96:{2,4,6,7}:{(63,1),(67,1),(70,1),(132,1),(133,1),(142,1),(209,1)}
        97:{1,5,7}:{(63,1),(64,1),(68,1),(133,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(131,1),(134,1),(135,1),(211,1),(337,1),(367,1),(385,1)}
        99:{3,4,7}:{(66,1),(73,1),(136,1),(148,1),(209,1)}
       100:{3,6}:{(66,1),(67,1)}
       101:{2,5,6}:{(67,1),(68,1),(133,1),(137,1),(144,1)}
       102:{1,4,5,6}:{(68,1),(69,1),(76,1),(134,1),(138,1),(139,1),(154,1),(200,1),(215,1),(226,1),(269,1),(286,1),(366,1)}
       103:{3,5,6}:{(69,1),(77,1),(135,1),(221,1),(288,1),(339,1)}
       104:{2,3,6,7}:{(70,1),(74,1),(81,1),(123,1),(132,1),(140,1),(141,1),(288,1),(295,1),(326,1),(334,1),(368,1),(372,1)}
       105:{2,5,7}:{(70,1),(71,1),(75,1),(142,1),(291,1)}
       106:{1,4,7}:{(71,1),(72,1),(76,1),(142,1),(209,1)}
       107:{3,4,7}:{(72,1),(77,1),(135,1),(385,1)}
       108:{2,4,6}:{(73,1),(74,1),(83,1),(125,1),(136,1),(144,1)}
       109:{2,3,5,6}:{(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(141,1),(144,1),(145,1),(146,1),(156,1),(202,1),(216,1),(221,1),(230,1),(273,1),(287,1),(288,1),(295,1),(326,1),(339,1),(343,1),(372,1),(384,1),(387,1)}
       110:{2,4,6}:{(75,1),(76,1),(79,1),(142,1),(146,1)}
       111:{1,3,4,6}:{(76,1),(77,1),(80,1),(139,1),(143,1),(146,1),(147,1),(213,1),(223,1),(286,1),(339,1)}
       112:{2,4}:{(78,1),(86,1),(128,1),(148,1)}
       113:{3,5}:{(79,1),(146,1),(148,1)}
       114:{2,4,5}:{(80,1),(147,1),(149,1),(150,1),(157,1),(203,1),(225,1),(230,1),(273,1)}
       115:{1,4,6,7}:{(81,1),(83,1),(140,1),(151,1),(152,1),(226,1),(383,1)}
       116:{1,3,5,7}:{(81,1),(82,1),(84,1),(141,1),(151,1),(152,1),(153,1),(272,1),(327,1)}
       117:{1,2,4,7}:{(82,1),(85,1),(142,1),(152,1),(153,1),(220,1),(228,1),(291,1),(337,1)}
       118:{1,5}:{(83,1),(144,1)}
       119:{1,4,6}:{(84,1),(86,1),(145,1),(152,1),(154,1),(365,1)}
       120:{1,3,6}:{(85,1),(87,1),(146,1),(153,1),(156,1),(339,1)}
       121:{1,3,4}:{(86,1),(87,1),(148,1),(157,1),(365,1),(371,1)}
       122:{2,3,5}:{(87,1),(156,1),(157,1),(158,1),(225,1),(230,1),(294,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(104,1),(159,1),(160,1),(300,1),(322,1),(361,1)}
       124:{1,2,5,7}:{(88,1),(91,1),(105,1),(160,1),(161,1),(250,1),(265,1),(301,1),(314,1)}
       125:{1,4,6}:{(89,1),(90,1),(108,1),(162,1)}
       126:{1,3,5,6}:{(90,1),(91,1),(92,1),(109,1),(160,1),(162,1),(163,1),(164,1),(194,1),(234,1),(238,1),(266,1),(300,1),(322,1),(325,1),(361,1),(382,1)}
       127:{1,2,4,6}:{(91,1),(93,1),(110,1),(161,1),(163,1),(164,1),(185,1),(239,1),(260,1),(316,1)}
       128:{1,4}:{(92,1),(112,1)}
       129:{1,3,5}:{(93,1),(113,1),(164,1),(165,1),(166,1),(268,1),(357,1)}
       130:{1,5,6,7}:{(94,1),(97,1),(167,1),(168,1),(188,1),(234,1),(352,1)}
       131:{2,4,6,7}:{(94,1),(95,1),(98,1),(168,1),(169,1),(245,1),(254,1)}
       132:{3,6,7}:{(96,1),(100,1),(171,1),(180,1)}
       133:{2,5,7}:{(96,1),(97,1),(101,1),(171,1)}
       134:{1,4,5,7}:{(97,1),(98,1),(102,1),(106,1),(168,1),(172,1),(173,1),(250,1),(313,1),(352,1)}
       135:{3,5,7}:{(98,1),(103,1),(107,1),(169,1),(356,1)}
       136:{3,4,6}:{(99,1),(100,1),(108,1),(174,1),(175,1)}
       137:{3,5,6}:{(100,1),(101,1),(171,1),(174,1),(175,1)}
       138:{2,4,5,6}:{(101,1),(102,1),(110,1),(172,1),(175,1),(176,1),(177,1),(182,1),(252,1),(254,1),(307,1),(351,1)}
       139:{1,3,5,6}:{(102,1),(103,1),(111,1),(173,1),(176,1),(177,1),(192,1),(238,1),(262,1),(300,1)}
       140:{2,4,6,7}:{(104,1),(108,1),(115,1),(159,1),(170,1),(178,1),(179,1),(254,1),(381,1)}
       141:{2,3,5,7}:{(104,1),(105,1),(109,1),(116,1),(160,1),(171,1),(178,1),(179,1),(180,1),(191,1),(237,1),(255,1),(263,1),(301,1),(314,1),(356,1),(378,1)}
       142:{2,4,7}:{(105,1),(106,1),(110,1),(180,1)}
       143:{1,3,4,7}:{(106,1),(107,1),(111,1),(173,1),(180,1),(181,1),(248,1),(257,1),(313,1),(356,1)}
       144:{2,5}:{(108,1),(118,1),(162,1),(174,1)}
       145:{2,4,6}:{(109,1),(112,1),(119,1),(163,1),(175,1),(179,1),(182,1),(183,1),(360,1),(389,1)}
       146:{3,6}:{(110,1),(113,1),(180,1)}
       147:{2,4,6}:{(111,1),(114,1),(177,1),(181,1),(184,1),(185,1),(260,1)}
       148:{3,4}:{(112,1),(113,1)}
       149:{2,3,5}:{(113,1),(114,1),(184,1),(186,1),(187,1),(357,1)}
       150:{1,4,5}:{(114,1),(185,1),(187,1),(195,1),(241,1),(266,1),(304,1)}
       151:{1,5,7}:{(115,1),(118,1),(178,1),(188,1),(388,1)}
       152:{1,4,7}:{(116,1),(119,1),(179,1)}
       153:{1,3,7}:{(117,1),(120,1),(180,1),(191,1),(356,1)}
       154:{1,4,5}:{(118,1),(119,1),(182,1),(192,1),(304,1),(388,1)}
       155:{1,3,4,6}:{(119,1),(120,1),(121,1),(183,1),(190,1),(192,1),(193,1),(262,1)}
       156:{2,3,6}:{(120,1),(122,1),(191,1),(193,1),(194,1),(260,1)}
       157:{2,4}:{(121,1),(122,1),(195,1)}
       158:{1,3,5}:{(122,1),(194,1),(195,1),(196,1),(266,1),(268,1)}
       159:{1,4,6,7}:{(123,1),(125,1),(140,1),(197,1),(198,1),(269,1),(374,1)}
       160:{1,3,5,7}:{(123,1),(124,1),(126,1),(141,1),(197,1),(198,1),(199,1),(229,1),(296,1)}
       161:{1,2,4,7}:{(124,1),(127,1),(142,1),(198,1),(199,1),(220,1),(271,1),(291,1),(337,1)}
       162:{1,5}:{(125,1),(144,1)}
       163:{1,4,6}:{(126,1),(128,1),(145,1),(198,1),(200,1),(346,1)}
       164:{1,3,6}:{(127,1),(129,1),(146,1),(199,1),(202,1),(339,1)}
       165:{1,3,4}:{(128,1),(129,1),(148,1),(203,1),(346,1),(371,1)}
       166:{2,3,5}:{(129,1),(202,1),(203,1),(204,1),(225,1),(273,1),(294,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(205,1),(206,1),(216,1),(332,1)}
       168:{1,4,6,7}:{(130,1),(131,1),(134,1),(206,1),(207,1),(226,1),(269,1),(280,1)}
       169:{3,6,7}:{(131,1),(135,1),(288,1)}
       170:{3,4,6,7}:{(132,1),(136,1),(140,1),(208,1),(209,1),(218,1),(281,1),(288,1),(368,1),(385,1),(386,1)}
       171:{3,5,7}:{(132,1),(133,1),(137,1),(209,1)}
       172:{2,4,5,7}:{(133,1),(134,1),(138,1),(142,1),(206,1),(209,1),(210,1),(211,1),(277,1),(283,1),(332,1)}
       173:{1,3,5,7}:{(134,1),(135,1),(139,1),(143,1),(207,1),(210,1),(211,1)}
       174:{3,5}:{(136,1),(144,1),(212,1)}
       175:{4,6}:{(137,1),(209,1),(212,1)}
       176:{3,5,6}:{(138,1),(146,1),(210,1),(213,1),(221,1),(288,1)}
       177:{2,5,6}:{(139,1),(147,1),(211,1),(215,1),(230,1),(273,1),(295,1),(326,1)}
       178:{2,5,7}:{(140,1),(144,1),(151,1),(197,1),(208,1),(216,1),(387,1)}
       179:{2,4,7}:{(141,1),(145,1),(152,1),(198,1),(209,1),(218,1),(385,1)}
       180:{3,7}:{(142,1),(146,1)}
       181:{2,4,7}:{(143,1),(147,1),(211,1),(219,1),(220,1),(291,1)}
       182:{2,4,5}:{(144,1),(145,1),(154,1),(200,1),(212,1),(221,1),(230,1),(273,1),(387,1),(391,1)}
       183:{3,4,6}:{(145,1),(146,1),(148,1),(218,1),(221,1),(288,1),(339,1),(371,1)}
       184:{2,3,6}:{(146,1),(147,1),(149,1),(219,1),(223,1),(339,1)}
       185:{1,4,6}:{(147,1),(150,1),(215,1),(220,1),(223,1)}
       186:{2,3,4}:{(148,1),(149,1),(157,1),(203,1),(224,1),(294,1),(371,1)}
       187:{1,3,5}:{(149,1),(150,1),(223,1),(224,1),(225,1)}
       188:{1,5,6}:{(151,1),(216,1),(226,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(217,1),(226,1),(227,1),(327,1)}
       190:{1,3,4,7}:{(152,1),(153,1),(155,1),(218,1),(227,1),(228,1)}
       191:{2,3,7}:{(153,1),(156,1),(228,1),(229,1),(291,1)}
       192:{1,3,5}:{(154,1),(155,1),(221,1),(230,1)}
       193:{2,4,6}:{(155,1),(156,1),(157,1),(228,1),(230,1),(231,1),(295,1)}
       194:{1,3,6}:{(156,1),(158,1),(229,1),(231,1),(232,1)}
       195:{1,4}:{(157,1),(158,1)}
       196:{1,2,5}:{(158,1),(225,1),(232,1),(233,1)}
       197:{1,5,7}:{(159,1),(162,1),(178,1),(234,1),(382,1)}
       198:{1,4,7}:{(160,1),(163,1),(179,1)}
       199:{1,3,7}:{(161,1),(164,1),(180,1),(237,1),(356,1)}
       200:{1,4,5}:{(162,1),(163,1),(182,1),(238,1),(266,1),(382,1)}
       201:{1,3,4,6}:{(163,1),(164,1),(165,1),(183,1),(236,1),(238,1),(239,1),(300,1)}
       202:{2,3,6}:{(164,1),(166,1),(237,1),(239,1),(240,1),(260,1)}
       203:{2,4}:{(165,1),(166,1),(241,1)}
       204:{1,3,5}:{(166,1),(240,1),(241,1),(242,1),(304,1),(306,1)}
       205:{3,5,6,7}:{(167,1),(171,1),(243,1),(244,1),(246,1),(308,1)}
       206:{2,4,6,7}:{(167,1),(168,1),(172,1),(243,1),(244,1),(245,1),(254,1)}
       207:{1,3,6,7}:{(168,1),(169,1),(173,1),(244,1),(245,1),(262,1),(300,1)}
       208:{3,5,7}:{(170,1),(174,1),(178,1),(246,1),(247,1),(390,1)}
       209:{4,7}:{(171,1),(175,1)}
       210:{3,5,7}:{(172,1),(176,1),(180,1),(244,1),(248,1)}
       211:{2,5,7}:{(173,1),(177,1),(181,1),(245,1),(250,1)}
       212:{4,5}:{(174,1),(175,1)}
       213:{3,4,6}:{(175,1),(176,1),(248,1),(251,1),(252,1)}
       214:{2,3,5,6}:{(176,1),(177,1),(184,1),(249,1),(252,1),(253,1),(258,1),(317,1),(351,1)}
       215:{1,5,6}:{(177,1),(185,1),(250,1),(266,1),(304,1),(322,1),(347,1)}
       216:{2,5,6}:{(178,1),(188,1),(234,1),(246,1),(254,1)}
       217:{2,4,5,7}:{(178,1),(179,1),(182,1),(189,1),(235,1),(247,1),(254,1),(255,1),(263,1),(301,1)}
       218:{3,4,7}:{(179,1),(180,1),(183,1),(255,1),(356,1)}
       219:{2,3,7}:{(180,1),(181,1),(184,1),(257,1),(356,1)}
       220:{1,4,7}:{(181,1),(185,1),(250,1),(257,1)}
       221:{3,5}:{(182,1),(183,1)}
       222:{2,3,4,6}:{(183,1),(184,1),(186,1),(193,1),(239,1),(252,1),(256,1),(258,1),(259,1),(317,1),(321,1),(360,1),(381,1)}
       223:{1,3,6}:{(184,1),(185,1),(187,1),(257,1),(260,1)}
       224:{1,3,4}:{(186,1),(187,1),(195,1),(241,1),(261,1),(268,1),(306,1)}
       225:{2,5}:{(187,1),(260,1),(261,1)}
       226:{1,4,6}:{(188,1),(189,1),(254,1),(262,1),(347,1)}
       227:{1,3,5,7}:{(189,1),(190,1),(192,1),(255,1),(262,1),(263,1)}
       228:{2,4,7}:{(190,1),(191,1),(193,1),(263,1),(264,1)}
       229:{1,3,7}:{(191,1),(194,1),(264,1),(265,1)}
       230:{2,5}:{(192,1),(193,1),(266,1)}
       231:{1,4,6}:{(193,1),(194,1),(195,1),(264,1),(266,1),(322,1)}
       232:{1,2,6}:{(194,1),(196,1),(260,1),(265,1)}
       233:{1,2,4}:{(195,1),(196,1),(261,1),(268,1)}
       234:{1,5,6}:{(197,1),(216,1),(269,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(217,1),(269,1),(270,1),(296,1)}
       236:{1,3,4,7}:{(198,1),(199,1),(201,1),(218,1),(270,1),(271,1)}
       237:{2,3,7}:{(199,1),(202,1),(271,1),(272,1),(291,1)}
       238:{1,3,5}:{(200,1),(201,1),(221,1),(273,1)}
       239:{2,4,6}:{(201,1),(202,1),(203,1),(271,1),(273,1),(274,1),(326,1)}
       240:{1,3,6}:{(202,1),(204,1),(272,1),(274,1),(275,1)}
       241:{1,4}:{(203,1),(204,1)}
       242:{1,2,5}:{(204,1),(225,1),(275,1),(276,1)}
       243:{4,6,7}:{(205,1),(209,1),(277,1),(281,1)}
       244:{3,6,7}:{(206,1),(210,1),(288,1)}
       245:{2,6,7}:{(207,1),(211,1),(280,1),(295,1),(326,1)}
       246:{3,5,6}:{(208,1),(216,1),(281,1),(288,1)}
       247:{4,5,7}:{(208,1),(209,1),(212,1),(281,1),(385,1),(391,1)}
       248:{3,4,7}:{(209,1),(210,1),(213,1),(283,1)}
       249:{2,3,5,7}:{(210,1),(211,1),(214,1),(219,1),(279,1),(283,1),(284,1),(332,1)}
       250:{1,5,7}:{(211,1),(215,1),(220,1),(280,1)}
       251:{3,4,5}:{(212,1),(213,1),(221,1),(285,1),(371,1)}
       252:{2,4,6}:{(213,1),(214,1),(283,1),(285,1),(286,1)}
       253:{1,3,5,6}:{(214,1),(215,1),(223,1),(284,1),(286,1),(287,1),(292,1),(339,1),(340,1),(366,1),(384,1)}
       254:{2,4,6}:{(216,1),(217,1),(226,1),(269,1),(281,1),(288,1),(295,1),(326,1)}
       255:{3,5,7}:{(217,1),(218,1),(221,1),(288,1)}
       256:{2,3,4,7}:{(218,1),(219,1),(222,1),(228,1),(271,1),(283,1),(289,1),(290,1),(342,1),(373,1)}
       257:{1,3,7}:{(219,1),(220,1),(223,1),(291,1)}
       258:{2,3,5}:{(221,1),(222,1),(230,1),(273,1),(285,1),(292,1),(387,1)}
       259:{1,3,4,6}:{(222,1),(223,1),(224,1),(231,1),(274,1),(286,1),(290,1),(292,1),(293,1),(299,1),(330,1),(339,1),(340,1),(346,1),(365,1),(371,1),(374,1),(383,1),(386,1)}
       260:{2,6}:{(223,1),(225,1),(291,1)}
       261:{2,4}:{(224,1),(225,1),(294,1)}
       262:{1,3,6}:{(226,1),(227,1),(288,1),(295,1)}
       263:{2,5,7}:{(227,1),(228,1),(230,1),(295,1),(296,1)}
       264:{1,4,7}:{(228,1),(229,1),(231,1),(296,1)}
       265:{1,2,7}:{(229,1),(232,1),(291,1)}
       266:{1,5}:{(230,1),(231,1)}
       267:{1,2,4,6}:{(231,1),(232,1),(233,1),(293,1),(297,1),(298,1),(299,1),(344,1),(346,1),(374,1)}
       268:{1,3}:{(233,1),(294,1)}
       269:{1,4,6}:{(234,1),(235,1),(254,1),(300,1),(322,1)}
       270:{1,3,5,7}:{(235,1),(236,1),(238,1),(255,1),(300,1),(301,1)}
       271:{2,4,7}:{(236,1),(237,1),(239,1),(301,1),(302,1)}
       272:{1,3,7}:{(237,1),(240,1),(302,1),(303,1)}
       273:{2,5}:{(238,1),(239,1),(304,1)}
       274:{1,4,6}:{(239,1),(240,1),(241,1),(302,1),(304,1),(347,1)}
       275:{1,2,6}:{(240,1),(242,1),(260,1),(303,1)}
       276:{1,2,4}:{(241,1),(242,1),(261,1),(306,1)}
       277:{4,5,7}:{(243,1),(307,1),(308,1)}
       278:{3,4,6,7}:{(243,1),(244,1),(248,1),(308,1),(309,1),(311,1)}
       279:{2,3,6,7}:{(244,1),(245,1),(249,1),(309,1),(310,1),(317,1)}
       280:{1,6,7}:{(245,1),(250,1),(322,1),(347,1)}
       281:{4,6}:{(246,1),(247,1)}
       282:{3,4,5,7}:{(247,1),(248,1),(251,1),(255,1),(308,1),(311,1),(312,1),(380,1),(390,1)}
       283:{2,4,7}:{(248,1),(249,1),(252,1),(313,1)}
       284:{1,3,5,7}:{(249,1),(250,1),(253,1),(257,1),(310,1),(313,1),(314,1),(352,1),(356,1),(378,1)}
       285:{2,4,5}:{(251,1),(252,1),(258,1),(315,1),(360,1)}
       286:{1,4,6}:{(252,1),(253,1),(313,1),(315,1),(316,1),(389,1)}
       287:{2,5,6}:{(253,1),(260,1),(314,1),(316,1),(320,1),(358,1)}
       288:{3,6}:{(254,1),(255,1)}
       289:{2,3,5,7}:{(255,1),(256,1),(258,1),(263,1),(301,1),(312,1),(317,1),(318,1)}
       290:{1,3,4,7}:{(256,1),(257,1),(259,1),(264,1),(302,1),(313,1),(318,1),(319,1),(324,1),(349,1),(356,1),(362,1),(376,1),(380,1)}
       291:{2,7}:{(257,1),(260,1)}
       292:{1,3,5}:{(258,1),(259,1),(266,1),(304,1),(315,1),(320,1),(357,1),(382,1),(388,1),(390,1)}
       293:{2,4,6}:{(259,1),(260,1),(261,1),(319,1),(320,1),(321,1),(358,1),(360,1)}
       294:{2,3}:{(261,1),(268,1),(306,1)}
       295:{2,6}:{(262,1),(263,1),(322,1)}
       296:{1,5,7}:{(263,1),(264,1),(266,1),(322,1)}
       297:{1,2,4,7}:{(264,1),(265,1),(267,1),(319,1),(323,1),(324,1),(362,1)}
       298:{1,2,5}:{(266,1),(267,1),(320,1),(325,1),(382,1)}
       299:{1,3,6}:{(267,1),(268,1),(321,1),(324,1),(325,1)}
       300:{1,3,6}:{(269,1),(270,1),(288,1),(326,1)}
       301:{2,5,7}:{(270,1),(271,1),(273,1),(326,1),(327,1)}
       302:{1,4,7}:{(271,1),(272,1),(274,1),(327,1)}
       303:{1,2,7}:{(272,1),(275,1),(291,1)}
       304:{1,5}:{(273,1),(274,1)}
       305:{1,2,4,6}:{(274,1),(275,1),(276,1),(293,1),(328,1),(329,1),(330,1),(363,1),(365,1),(383,1)}
       306:{1,3}:{(276,1),(294,1)}
       307:{4,5,6}:{(277,1),(281,1),(331,1),(391,1)}
       308:{3,5,7}:{(277,1),(278,1),(331,1),(332,1)}
       309:{2,4,6,7}:{(278,1),(279,1),(283,1),(332,1),(333,1),(335,1)}
       310:{1,3,6,7}:{(279,1),(280,1),(284,1),(333,1),(334,1),(340,1),(368,1)}
       311:{3,4,6}:{(281,1),(282,1),(288,1),(331,1),(335,1)}
       312:{2,4,5,7}:{(282,1),(283,1),(285,1),(289,1),(332,1),(335,1),(336,1),(373,1),(387,1)}
       313:{1,4,7}:{(283,1),(284,1),(286,1),(337,1),(385,1)}
       314:{2,5,7}:{(284,1),(287,1),(291,1),(334,1),(337,1)}
       315:{1,4,5}:{(285,1),(286,1),(292,1),(338,1),(346,1),(365,1),(391,1)}
       316:{2,4,6}:{(286,1),(287,1),(337,1),(338,1),(339,1)}
       317:{2,3,6}:{(288,1),(289,1),(295,1),(326,1),(335,1),(340,1)}
       318:{1,3,5,7}:{(289,1),(290,1),(292,1),(296,1),(327,1),(336,1),(340,1),(341,1),(370,1)}
       319:{2,4,7}:{(290,1),(291,1),(293,1),(341,1),(342,1)}
       320:{2,5}:{(292,1),(293,1)}
       321:{2,3,6}:{(293,1),(294,1),(299,1),(330,1),(339,1),(342,1),(343,1)}
       322:{1,6}:{(295,1),(296,1)}
       323:{1,2,5,7}:{(296,1),(297,1),(298,1),(341,1),(344,1),(345,1)}
       324:{1,3,7}:{(297,1),(299,1),(342,1)}
       325:{1,3,5}:{(298,1),(299,1),(343,1),(346,1)}
       326:{2,6}:{(300,1),(301,1),(347,1)}
       327:{1,5,7}:{(301,1),(302,1),(304,1),(347,1)}
       328:{1,2,4,7}:{(302,1),(303,1),(305,1),(319,1),(348,1),(349,1),(376,1)}
       329:{1,2,5}:{(304,1),(305,1),(320,1),(350,1),(388,1)}
       330:{1,3,6}:{(305,1),(306,1),(321,1),(349,1),(350,1)}
       331:{3,5,6}:{(307,1),(308,1),(311,1),(351,1),(390,1)}
       332:{2,5,7}:{(308,1),(309,1),(351,1),(352,1)}
       333:{1,4,6,7}:{(309,1),(310,1),(313,1),(352,1),(353,1),(354,1)}
       334:{2,6,7}:{(310,1),(314,1),(358,1)}
       335:{2,4,6}:{(311,1),(312,1),(317,1),(351,1),(354,1)}
       336:{1,4,5,7}:{(312,1),(313,1),(315,1),(318,1),(352,1),(354,1),(355,1),(362,1),(376,1),(382,1),(388,1)}
       337:{2,4,7}:{(313,1),(314,1),(316,1),(356,1)}
       338:{2,4,5}:{(315,1),(316,1),(320,1),(357,1),(360,1)}
       339:{3,6}:{(316,1),(356,1),(357,1)}
       340:{1,3,6}:{(317,1),(318,1),(322,1),(347,1),(354,1),(358,1),(379,1)}
       341:{2,5,7}:{(318,1),(319,1),(320,1),(358,1)}
       342:{2,3,7}:{(319,1),(321,1),(324,1),(349,1),(356,1)}
       343:{2,3,5}:{(320,1),(321,1),(325,1),(350,1),(357,1),(360,1)}
       344:{1,2,6}:{(322,1),(323,1),(358,1),(361,1)}
       345:{1,3,5,7}:{(323,1),(324,1),(325,1),(359,1),(361,1),(362,1),(382,1)}
       346:{1,4}:{(325,1),(360,1)}
       347:{1,6}:{(326,1),(327,1)}
       348:{1,2,5,7}:{(327,1),(328,1),(329,1),(341,1),(363,1),(364,1)}
       349:{1,3,7}:{(328,1),(330,1),(342,1)}
       350:{1,3,5}:{(329,1),(330,1),(343,1),(365,1)}
       351:{2,5,6}:{(331,1),(332,1),(335,1),(366,1),(387,1)}
       352:{1,5,7}:{(332,1),(333,1),(366,1),(367,1)}
       353:{2,4,6,7}:{(333,1),(334,1),(337,1),(367,1),(368,1),(369,1),(385,1)}
       354:{1,4,6}:{(335,1),(336,1),(340,1),(366,1),(369,1)}
       355:{2,4,5,7}:{(336,1),(337,1),(338,1),(341,1),(367,1),(369,1),(370,1),(373,1),(385,1),(387,1),(391,1)}
       356:{3,7}:{(337,1),(339,1)}
       357:{3,5}:{(338,1),(339,1),(371,1)}
       358:{2,6}:{(340,1),(341,1)}
       359:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(364,1),(370,1),(372,1),(373,1),(387,1)}
       360:{2,4}:{(343,1),(346,1),(365,1),(371,1)}
       361:{1,3,6}:{(344,1),(345,1),(372,1),(374,1)}
       362:{1,4,7}:{(345,1),(346,1),(373,1),(374,1)}
       363:{1,2,6}:{(347,1),(348,1),(358,1),(375,1)}
       364:{1,3,5,7}:{(348,1),(349,1),(350,1),(359,1),(375,1),(376,1),(388,1)}
       365:{1,4}:{(350,1),(360,1)}
       366:{1,5,6}:{(351,1),(352,1),(354,1),(377,1),(382,1),(388,1)}
       367:{2,5,7}:{(352,1),(353,1),(377,1),(378,1)}
       368:{3,6,7}:{(353,1),(356,1),(378,1),(379,1)}
       369:{2,4,6}:{(354,1),(355,1),(358,1),(377,1),(379,1),(389,1)}
       370:{3,5,7}:{(355,1),(356,1),(357,1),(379,1),(380,1),(390,1)}
       371:{3,4}:{(357,1),(360,1)}
       372:{2,3,6}:{(358,1),(359,1),(361,1),(375,1),(379,1),(381,1)}
       373:{2,4,7}:{(359,1),(360,1),(362,1),(376,1),(380,1),(381,1)}
       374:{1,4,6}:{(361,1),(362,1),(381,1),(382,1)}
       375:{1,3,6}:{(363,1),(364,1),(372,1),(383,1)}
       376:{1,4,7}:{(364,1),(365,1),(373,1),(383,1)}
       377:{2,5,6}:{(366,1),(367,1),(369,1),(384,1),(387,1)}
       378:{3,5,7}:{(367,1),(368,1),(384,1),(385,1)}
       379:{3,6}:{(369,1),(370,1)}
       380:{3,4,7}:{(370,1),(371,1),(373,1),(385,1),(386,1)}
       381:{2,4,6}:{(372,1),(373,1),(374,1),(383,1),(386,1),(387,1)}
       382:{1,5}:{(374,1),(387,1)}
       383:{1,4,6}:{(375,1),(376,1),(381,1),(388,1)}
       384:{3,5,6}:{(377,1),(378,1),(379,1),(389,1),(390,1)}
       385:{4,7}:{(378,1),(389,1)}
       386:{3,4,6}:{(379,1),(380,1),(381,1),(389,1),(390,1)}
       387:{2,5}:{(381,1),(382,1),(388,1),(390,1)}
       388:{1,5}:{(383,1),(387,1)}
       389:{4,6}:{(384,1),(385,1),(391,1)}
       390:{3,5}:{(386,1),(387,1),(391,1)}
       391:{4,5}:{(389,1),(390,1)}

1342 :  0:{2,3,4}:{(2,1),(3,1),(23,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(82,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(27,1),(39,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(39,1)}
        5:{4,5,6}:{(15,1),(16,1),(88,1),(96,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1),(19,1),(50,1),(74,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1)}
        9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,4}:{(3,1),(22,1),(23,1)}
       11:{1,2,5}:{(4,1),(22,1),(24,1),(25,1)}
       12:{1,3}:{(4,1),(23,1)}
       13:{1,2,4}:{(10,1),(26,1),(27,1),(55,1)}
       14:{5,6,7}:{(28,1),(97,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{3,5,6}:{(5,1),(6,1),(29,1),(30,1),(82,1),(94,1)}
       17:{3,4,7}:{(6,1),(29,1),(31,1)}
       18:{2,4,6}:{(6,1),(7,1),(8,1),(30,1),(31,1),(32,1)}
       19:{1,4,5}:{(7,1),(9,1),(32,1),(33,1),(39,1),(55,1),(65,1),(77,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{1,3,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,5}:{(9,1),(10,1),(35,1)}
       23:{2,3}:{(10,1),(12,1),(27,1)}
       24:{1,2,6}:{(11,1),(35,1),(37,1),(38,1)}
       25:{1,3,5}:{(11,1),(12,1),(36,1),(38,1),(39,1),(65,1)}
       26:{1,2,5}:{(13,1),(22,1),(40,1),(41,1)}
       27:{1,3}:{(13,1),(23,1)}
       28:{4,6,7}:{(14,1),(15,1),(42,1),(96,1)}
       29:{3,5,7}:{(15,1),(16,1),(17,1),(42,1),(43,1)}
       30:{2,5,6}:{(16,1),(18,1),(43,1),(44,1),(74,1),(90,1)}
       31:{2,4,7}:{(17,1),(18,1),(20,1),(43,1),(45,1)}
       32:{1,4,6}:{(18,1),(19,1),(21,1),(44,1),(45,1),(46,1)}
       33:{2,4,5}:{(19,1),(22,1),(46,1),(47,1),(50,1),(74,1),(88,1)}
       34:{1,3,7}:{(20,1),(21,1),(45,1),(48,1),(71,1)}
       35:{2,6}:{(21,1),(22,1),(48,1)}
       36:{2,3,5}:{(22,1),(23,1),(25,1),(41,1),(47,1),(49,1),(50,1),(74,1)}
       37:{1,2,7}:{(24,1),(48,1),(51,1)}
       38:{1,3,6}:{(24,1),(25,1),(49,1),(51,1),(52,1)}
       39:{1,4}:{(25,1),(50,1)}
       40:{1,2,6}:{(26,1),(35,1),(53,1),(54,1)}
       41:{1,3,5}:{(26,1),(27,1),(36,1),(54,1),(55,1),(77,1)}
       42:{3,6,7}:{(28,1),(29,1),(56,1),(94,1)}
       43:{2,5,7}:{(29,1),(30,1),(31,1),(56,1),(57,1)}
       44:{1,5,6}:{(30,1),(32,1),(57,1),(58,1),(65,1),(77,1),(84,1),(91,1)}
       45:{1,4,7}:{(31,1),(32,1),(34,1),(57,1),(59,1)}
       46:{2,4,6}:{(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(80,1)}
       47:{3,5}:{(33,1),(60,1),(61,1)}
       48:{2,7}:{(34,1),(35,1)}
       49:{2,3,6}:{(35,1),(36,1),(38,1),(54,1),(60,1),(62,1),(63,1)}
       50:{2,4}:{(36,1),(39,1),(55,1),(61,1)}
       51:{1,3,7}:{(37,1),(38,1),(62,1),(64,1)}
       52:{1,4,6}:{(38,1),(39,1),(63,1),(64,1),(65,1),(84,1)}
       53:{1,2,7}:{(40,1),(48,1),(66,1)}
       54:{1,3,6}:{(40,1),(41,1),(49,1),(66,1),(67,1)}
       55:{1,4}:{(41,1),(50,1)}
       56:{2,6,7}:{(42,1),(43,1),(68,1),(90,1)}
       57:{1,5,7}:{(43,1),(44,1),(45,1),(68,1),(69,1)}
       58:{2,5,6}:{(44,1),(46,1),(69,1),(70,1),(74,1),(90,1)}
       59:{2,4,7}:{(45,1),(46,1),(48,1),(69,1),(71,1),(87,1)}
       60:{3,6}:{(46,1),(47,1),(71,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,3,7}:{(48,1),(49,1),(51,1),(66,1),(71,1),(73,1)}
       63:{2,4,6}:{(49,1),(50,1),(52,1),(67,1),(72,1),(73,1),(74,1),(90,1)}
       64:{1,4,7}:{(51,1),(52,1),(73,1),(75,1)}
       65:{1,5}:{(52,1),(74,1)}
       66:{1,3,7}:{(53,1),(54,1),(62,1),(76,1)}
       67:{1,4,6}:{(54,1),(55,1),(63,1),(76,1),(77,1),(91,1)}
       68:{1,6,7}:{(56,1),(57,1),(78,1),(84,1),(91,1)}
       69:{2,5,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       70:{3,5,6}:{(58,1),(60,1),(79,1),(80,1),(82,1),(94,1),(97,1)}
       71:{3,7}:{(59,1),(60,1)}
       72:{3,4,6}:{(60,1),(61,1),(63,1),(80,1),(81,1),(82,1),(94,1)}
       73:{2,4,7}:{(62,1),(63,1),(64,1),(76,1),(81,1),(83,1)}
       74:{2,5}:{(63,1),(65,1),(77,1),(82,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,4,7}:{(66,1),(67,1),(73,1),(85,1)}
       77:{1,5}:{(67,1),(74,1)}
       78:{2,6,7}:{(68,1),(69,1),(86,1),(90,1)}
       79:{3,5,7}:{(69,1),(70,1),(71,1),(86,1),(87,1),(95,1)}
       80:{4,6}:{(70,1),(87,1),(88,1)}
       81:{3,4,7}:{(71,1),(72,1),(73,1),(87,1),(89,1)}
       82:{3,5}:{(72,1),(74,1),(88,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{3,6,7}:{(78,1),(79,1),(92,1),(94,1)}
       87:{4,7}:{(79,1),(80,1)}
       88:{4,5}:{(80,1),(82,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,6,7}:{(86,1),(87,1),(95,1),(96,1)}
       93:{4,5,7}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(96,1)}
       95:{5,7}:{(92,1),(97,1)}
       96:{4,6}:{(93,1),(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1343 :   0:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(19,1),(22,1),(59,1),(72,1),(73,1),(76,1),(120,1),(148,1),(201,1),(210,1),(212,1),(260,1),(275,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(7,1),(26,1),(32,1),(35,1),(42,1),(83,1),(107,1),(161,1),(174,1),(175,1),(177,1),(178,1),(188,1),(232,1),(241,1),(243,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(42,1),(162,1),(188,1),(233,1),(241,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(36,1),(41,1),(48,1),(95,1),(179,1),(186,1),(292,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(49,1),(52,1),(59,1),(70,1),(122,1),(123,1),(126,1),(150,1),(199,1),(210,1),(212,1),(222,1),(297,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(16,1),(17,1),(19,1),(49,1),(59,1),(64,1),(72,1),(122,1),(133,1),(136,1),(210,1),(212,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(60,1),(138,1),(139,1),(146,1),(197,1),(214,1),(220,1),(258,1)}
         7:{1,3,4,7}:{(2,1),(19,1),(20,1),(76,1),(155,1),(260,1),(267,1)}
         8:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(63,1),(68,1),(76,1),(134,1),(212,1)}
         9:{2,3,5,7}:{(2,1),(19,1),(23,1),(24,1),(59,1),(72,1),(130,1),(209,1)}
        10:{1,3,6}:{(2,1),(3,1),(24,1),(214,1),(220,1)}
        11:{1,2,5,6}:{(3,1),(22,1),(25,1),(66,1),(72,1),(137,1),(145,1),(201,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(26,1),(28,1),(29,1),(83,1),(108,1),(189,1),(232,1),(241,1),(243,1)}
        13:{1,2,4,6}:{(4,1),(29,1),(30,1),(36,1),(82,1),(89,1),(95,1),(179,1),(230,1),(306,1)}
        14:{2,3,5,7}:{(5,1),(31,1),(32,1),(33,1),(92,1),(188,1),(232,1),(241,1),(243,1),(250,1),(281,1)}
        15:{1,3,4,6,7}:{(6,1),(34,1),(35,1),(93,1),(99,1),(177,1),(178,1),(182,1),(243,1)}
        16:{1,4,5,7}:{(5,1),(32,1),(36,1),(40,1),(81,1),(100,1),(110,1),(164,1),(174,1),(177,1)}
        17:{2,4,6}:{(5,1),(6,1),(33,1),(36,1),(37,1),(95,1)}
        18:{1,3,5,6}:{(6,1),(35,1),(37,1),(38,1),(42,1),(83,1),(103,1)}
        19:{2,4,7}:{(7,1),(9,1),(40,1),(41,1),(240,1)}
        20:{1,3,4,6}:{(7,1),(10,1),(41,1),(42,1),(48,1),(117,1)}
        21:{1,3,6,7}:{(8,1),(10,1),(43,1),(44,1),(243,1),(292,1)}
        22:{1,2,5,7}:{(8,1),(11,1),(44,1),(100,1),(106,1),(176,1),(295,1)}
        23:{1,3,5,7}:{(9,1),(40,1),(45,1),(46,1),(108,1),(110,1),(189,1)}
        24:{2,3,6}:{(9,1),(10,1),(41,1),(46,1),(95,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(42,1),(44,1),(47,1),(48,1),(233,1),(253,1),(256,1),(292,1)}
        26:{1,3,4,7}:{(12,1),(49,1),(50,1),(126,1),(206,1),(222,1),(267,1)}
        27:{1,2,4,6,7}:{(13,1),(51,1),(52,1),(63,1),(118,1),(126,1),(134,1),(212,1)}
        28:{2,3,5,7}:{(12,1),(49,1),(53,1),(54,1),(59,1),(122,1),(130,1),(209,1)}
        29:{1,3,6}:{(12,1),(13,1),(54,1),(214,1),(258,1)}
        30:{1,2,5,6}:{(13,1),(52,1),(55,1),(66,1),(122,1),(137,1),(150,1),(196,1),(301,1)}
        31:{2,3,4,7}:{(14,1),(19,1),(49,1),(56,1),(57,1),(130,1),(136,1),(155,1),(206,1),(226,1),(264,1),(267,1),(270,1)}
        32:{1,3,5,7}:{(14,1),(16,1),(56,1),(59,1),(60,1),(132,1),(275,1),(297,1)}
        33:{2,3,6}:{(14,1),(17,1),(60,1),(214,1),(220,1),(258,1),(274,1),(296,1)}
        34:{2,4,6,7}:{(15,1),(17,1),(58,1),(63,1),(64,1),(134,1),(136,1),(212,1)}
        35:{1,3,5,7}:{(15,1),(18,1),(64,1),(65,1),(143,1)}
        36:{1,4,6}:{(16,1),(17,1),(60,1),(66,1)}
        37:{2,5,6}:{(17,1),(18,1),(64,1),(66,1),(72,1),(122,1)}
        38:{1,4,5,6}:{(18,1),(65,1),(67,1),(73,1),(123,1),(138,1),(146,1),(197,1),(218,1)}
        39:{1,3,4,6,7}:{(20,1),(21,1),(68,1),(69,1),(76,1),(146,1),(155,1),(220,1)}
        40:{1,4,7}:{(19,1),(23,1),(71,1),(222,1)}
        41:{2,4,6}:{(19,1),(20,1),(24,1),(71,1),(72,1)}
        42:{1,3,5}:{(20,1),(72,1),(73,1),(152,1)}
        43:{2,3,6,7}:{(21,1),(24,1),(68,1),(74,1),(75,1),(134,1),(220,1),(274,1)}
        44:{1,3,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(275,1),(278,1)}
        45:{1,2,5,7}:{(23,1),(59,1),(70,1),(77,1),(150,1),(297,1)}
        46:{1,3,6}:{(23,1),(24,1),(71,1),(77,1)}
        47:{2,3,5,6}:{(24,1),(25,1),(72,1),(75,1),(78,1),(79,1),(137,1),(145,1),(152,1),(209,1),(214,1),(220,1),(224,1),(227,1),(274,1)}
        48:{1,4,6}:{(25,1),(73,1),(76,1),(79,1),(260,1)}
        49:{2,4,7}:{(26,1),(28,1),(81,1),(82,1),(240,1)}
        50:{1,3,4,6}:{(26,1),(29,1),(82,1),(83,1),(89,1),(171,1)}
        51:{1,3,6,7}:{(27,1),(29,1),(84,1),(85,1),(243,1),(306,1)}
        52:{1,2,5,7}:{(27,1),(30,1),(85,1),(100,1),(160,1),(176,1),(309,1)}
        53:{1,3,5,7}:{(28,1),(81,1),(86,1),(87,1),(162,1),(164,1),(233,1)}
        54:{2,3,6}:{(28,1),(29,1),(82,1),(87,1),(95,1)}
        55:{1,3,5,6}:{(29,1),(30,1),(83,1),(85,1),(88,1),(89,1),(189,1),(284,1),(287,1),(306,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(40,1),(81,1),(90,1),(91,1),(108,1),(162,1),(177,1),(243,1),(255,1),(286,1),(290,1)}
        57:{2,3,4,6}:{(31,1),(33,1),(41,1),(82,1),(91,1),(92,1),(97,1),(117,1),(171,1),(172,1),(195,1),(239,1),(240,1),(245,1),(288,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(93,1),(94,1),(182,1),(243,1),(247,1)}
        59:{2,5,7}:{(32,1),(90,1),(95,1),(173,1)}
        60:{1,3,6}:{(32,1),(33,1),(36,1),(95,1),(292,1),(306,1)}
        61:{2,3,5,6}:{(33,1),(37,1),(92,1),(94,1),(96,1),(97,1),(103,1),(184,1),(245,1)}
        62:{1,3,5,6,7}:{(35,1),(98,1),(99,1),(104,1),(158,1),(182,1)}
        63:{1,4,6,7}:{(34,1),(36,1),(93,1),(100,1),(177,1)}
        64:{2,5,7}:{(34,1),(35,1),(37,1),(100,1)}
        65:{1,4,5,7}:{(35,1),(38,1),(99,1),(101,1),(177,1),(248,1)}
        66:{1,5,6}:{(36,1),(37,1),(100,1),(110,1),(164,1)}
        67:{2,4,5,6}:{(37,1),(38,1),(97,1),(101,1),(102,1),(103,1),(111,1),(165,1),(179,1),(184,1),(186,1),(230,1)}
        68:{2,4,6,7}:{(39,1),(41,1),(43,1),(105,1),(106,1),(114,1),(186,1)}
        69:{1,3,5,7}:{(39,1),(42,1),(104,1),(106,1),(107,1),(188,1)}
        70:{1,2,4,7}:{(40,1),(45,1),(90,1),(108,1),(109,1),(286,1),(309,1)}
        71:{1,4,6}:{(40,1),(41,1),(46,1),(110,1)}
        72:{2,5}:{(41,1),(42,1),(110,1)}
        73:{1,4,5}:{(42,1),(48,1),(111,1),(253,1)}
        74:{1,3,6,7}:{(43,1),(46,1),(105,1),(112,1),(113,1),(249,1)}
        75:{2,3,5,7}:{(43,1),(44,1),(47,1),(106,1),(113,1),(114,1),(176,1),(188,1),(243,1),(250,1),(254,1)}
        76:{1,4,7}:{(44,1),(48,1),(114,1)}
        77:{1,2,6}:{(45,1),(46,1),(95,1),(306,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(110,1),(113,1),(115,1),(116,1),(185,1),(189,1),(191,1),(194,1),(249,1)}
        79:{2,4,6}:{(47,1),(48,1),(111,1),(114,1),(116,1),(117,1),(240,1)}
        80:{1,3,4,6,7}:{(50,1),(51,1),(118,1),(119,1),(126,1),(197,1),(206,1),(258,1)}
        81:{1,4,7}:{(49,1),(53,1),(121,1),(260,1)}
        82:{2,4,6}:{(49,1),(50,1),(54,1),(121,1),(122,1)}
        83:{1,3,5}:{(50,1),(122,1),(123,1),(203,1)}
        84:{2,3,6,7}:{(51,1),(54,1),(118,1),(124,1),(125,1),(134,1),(258,1),(296,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(55,1),(125,1),(126,1),(297,1),(300,1)}
        86:{1,2,5,7}:{(53,1),(59,1),(120,1),(127,1),(201,1),(275,1)}
        87:{1,3,6}:{(53,1),(54,1),(121,1),(127,1)}
        88:{2,3,5,6}:{(54,1),(55,1),(122,1),(125,1),(128,1),(129,1),(137,1),(196,1),(203,1),(209,1),(214,1),(258,1),(262,1),(265,1),(296,1)}
        89:{1,4,6}:{(55,1),(123,1),(126,1),(129,1),(222,1)}
        90:{2,4,7}:{(56,1),(59,1),(130,1),(131,1),(304,1)}
        91:{1,3,4,6}:{(56,1),(57,1),(60,1),(71,1),(121,1),(131,1),(132,1),(138,1),(149,1),(200,1),(214,1),(222,1),(228,1),(260,1),(266,1),(267,1),(272,1),(302,1)}
        92:{2,3,5}:{(57,1),(72,1),(122,1),(132,1),(133,1),(152,1),(203,1),(224,1),(262,1)}
        93:{1,3,6,7}:{(58,1),(60,1),(63,1),(134,1),(135,1),(273,1)}
        94:{2,3,5,7}:{(58,1),(61,1),(64,1),(135,1),(136,1),(143,1),(217,1),(270,1)}
        95:{2,6}:{(59,1),(60,1)}
        96:{1,3,5,6}:{(60,1),(61,1),(66,1),(132,1),(135,1),(137,1),(138,1),(214,1),(218,1),(272,1)}
        97:{2,4,6}:{(61,1),(133,1),(136,1),(138,1),(139,1)}
        98:{2,5,6,7}:{(62,1),(64,1),(140,1),(141,1),(145,1),(196,1)}
        99:{1,4,6,7}:{(62,1),(65,1),(141,1),(146,1),(197,1),(273,1)}
       100:{1,5,7}:{(63,1),(64,1),(66,1)}
       101:{2,4,5,7}:{(64,1),(65,1),(67,1),(136,1),(141,1),(142,1),(143,1),(212,1),(217,1)}
       102:{1,4,5,6}:{(66,1),(67,1),(138,1),(142,1),(144,1),(151,1),(202,1),(219,1),(257,1)}
       103:{3,5,6}:{(67,1),(139,1),(143,1),(152,1),(203,1),(214,1),(220,1),(258,1)}
       104:{1,3,5,6}:{(69,1),(145,1),(146,1),(220,1)}
       105:{1,4,6,7}:{(68,1),(71,1),(74,1),(147,1),(154,1),(219,1)}
       106:{2,5,7}:{(68,1),(69,1),(72,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(69,1),(73,1),(76,1),(146,1),(148,1),(275,1)}
       108:{1,3,7}:{(70,1),(130,1),(149,1)}
       109:{1,2,4,6}:{(70,1),(71,1),(77,1),(131,1),(149,1),(150,1),(222,1),(266,1),(301,1),(312,1)}
       110:{1,5}:{(71,1),(72,1)}
       111:{2,4,5}:{(72,1),(73,1),(79,1),(151,1),(152,1),(224,1)}
       112:{1,2,6,7}:{(74,1),(77,1),(134,1),(153,1),(273,1),(274,1)}
       113:{1,3,5,7}:{(74,1),(75,1),(78,1),(147,1),(153,1),(154,1),(225,1)}
       114:{2,4,7}:{(75,1),(76,1),(79,1),(154,1),(155,1)}
       115:{1,2,5,6}:{(77,1),(78,1),(137,1),(150,1),(153,1),(156,1),(218,1),(224,1),(274,1)}
       116:{1,4,6}:{(78,1),(79,1),(151,1),(154,1),(222,1)}
       117:{3,4,6}:{(79,1),(152,1),(155,1),(214,1),(220,1),(267,1)}
       118:{2,4,6,7}:{(80,1),(82,1),(84,1),(159,1),(160,1),(168,1),(230,1)}
       119:{1,3,5,7}:{(80,1),(83,1),(158,1),(160,1),(161,1),(232,1)}
       120:{1,2,4,7}:{(81,1),(86,1),(90,1),(162,1),(163,1),(255,1),(295,1)}
       121:{1,4,6}:{(81,1),(82,1),(87,1),(164,1)}
       122:{2,5}:{(82,1),(83,1),(164,1)}
       123:{1,4,5}:{(83,1),(89,1),(165,1),(284,1)}
       124:{1,3,6,7}:{(84,1),(87,1),(159,1),(166,1),(167,1),(280,1)}
       125:{2,3,5,7}:{(84,1),(85,1),(88,1),(160,1),(167,1),(168,1),(176,1),(232,1),(243,1),(281,1),(285,1)}
       126:{1,4,7}:{(85,1),(89,1),(168,1)}
       127:{1,2,6}:{(86,1),(87,1),(95,1),(292,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(164,1),(167,1),(169,1),(170,1),(229,1),(233,1),(235,1),(238,1),(280,1)}
       129:{2,4,6}:{(88,1),(89,1),(165,1),(168,1),(170,1),(171,1),(240,1)}
       130:{2,3,7}:{(90,1),(108,1),(162,1),(172,1),(243,1)}
       131:{2,4,6}:{(90,1),(91,1),(95,1),(172,1),(173,1),(240,1),(291,1),(310,1)}
       132:{1,3,5}:{(91,1),(92,1),(110,1),(164,1),(173,1),(174,1),(241,1),(253,1),(284,1)}
       133:{2,4,5}:{(92,1),(97,1),(174,1),(175,1),(240,1)}
       134:{2,6,7}:{(93,1),(95,1),(176,1)}
       135:{1,3,5,7}:{(93,1),(94,1),(96,1),(100,1),(176,1),(177,1),(243,1),(248,1),(290,1)}
       136:{2,4,7}:{(94,1),(97,1),(177,1),(178,1)}
       137:{2,5,6}:{(95,1),(96,1),(173,1),(176,1),(179,1),(291,1)}
       138:{1,4,6}:{(96,1),(97,1),(174,1),(177,1),(179,1)}
       139:{3,4,6}:{(97,1),(103,1),(175,1),(178,1)}
       140:{1,5,6,7}:{(98,1),(100,1),(181,1),(185,1),(229,1)}
       141:{2,4,6,7}:{(98,1),(99,1),(101,1),(181,1),(182,1),(186,1),(230,1),(247,1)}
       142:{1,4,5,7}:{(100,1),(101,1),(102,1),(177,1),(181,1),(183,1)}
       143:{3,5,7}:{(101,1),(103,1),(178,1),(182,1),(243,1)}
       144:{1,3,5,6}:{(102,1),(103,1),(180,1),(183,1),(184,1),(191,1),(235,1),(249,1),(280,1)}
       145:{2,5,6}:{(104,1),(106,1),(185,1),(186,1)}
       146:{1,4,6}:{(104,1),(107,1),(186,1),(292,1)}
       147:{1,5,7}:{(105,1),(106,1),(110,1),(185,1)}
       148:{2,4,5,7}:{(106,1),(107,1),(111,1),(114,1),(186,1),(187,1),(188,1),(250,1)}
       149:{1,3,6}:{(108,1),(109,1),(172,1),(189,1),(314,1)}
       150:{1,2,5}:{(109,1),(110,1),(173,1),(189,1),(284,1)}
       151:{1,4,5}:{(110,1),(111,1),(116,1),(191,1)}
       152:{3,5}:{(111,1),(117,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(115,1),(176,1),(192,1),(248,1),(250,1)}
       154:{1,4,7}:{(113,1),(114,1),(116,1)}
       155:{3,4,7}:{(114,1),(117,1),(188,1),(243,1)}
       156:{1,2,4,6}:{(115,1),(116,1),(179,1),(190,1),(192,1),(194,1),(195,1),(246,1),(291,1)}
       157:{1,3,4,6}:{(116,1),(117,1),(191,1),(193,1),(194,1),(195,1),(249,1),(251,1)}
       158:{1,3,5,6}:{(119,1),(196,1),(197,1),(258,1)}
       159:{1,4,6,7}:{(118,1),(121,1),(124,1),(198,1),(205,1),(257,1)}
       160:{2,5,7}:{(118,1),(119,1),(122,1),(196,1),(198,1)}
       161:{1,4,5,7}:{(119,1),(123,1),(126,1),(197,1),(199,1),(297,1)}
       162:{1,3,7}:{(120,1),(130,1),(200,1)}
       163:{1,2,4,6}:{(120,1),(121,1),(127,1),(131,1),(200,1),(201,1),(228,1),(260,1),(279,1),(305,1)}
       164:{1,5}:{(121,1),(122,1)}
       165:{2,4,5}:{(122,1),(123,1),(129,1),(202,1),(203,1),(262,1)}
       166:{1,2,6,7}:{(124,1),(127,1),(134,1),(204,1),(273,1),(296,1)}
       167:{1,3,5,7}:{(124,1),(125,1),(128,1),(198,1),(204,1),(205,1),(263,1)}
       168:{2,4,7}:{(125,1),(126,1),(129,1),(205,1),(206,1)}
       169:{1,2,5,6}:{(127,1),(128,1),(137,1),(201,1),(204,1),(207,1),(218,1),(262,1),(296,1)}
       170:{1,4,6}:{(128,1),(129,1),(202,1),(205,1),(260,1)}
       171:{3,4,6}:{(129,1),(203,1),(206,1),(214,1),(258,1),(267,1)}
       172:{2,3,6}:{(130,1),(131,1),(149,1),(200,1),(209,1),(214,1),(313,1)}
       173:{2,5}:{(131,1),(132,1)}
       174:{1,4,5}:{(132,1),(133,1),(138,1),(210,1),(222,1),(260,1)}
       175:{3,4,5}:{(133,1),(139,1),(152,1),(203,1),(267,1)}
       176:{2,5,7}:{(134,1),(135,1),(137,1),(212,1),(304,1)}
       177:{1,4,7}:{(135,1),(136,1),(138,1),(212,1)}
       178:{3,4,7}:{(136,1),(139,1),(143,1)}
       179:{2,4,6}:{(137,1),(138,1),(210,1),(212,1),(214,1)}
       180:{1,3,4,6}:{(138,1),(139,1),(144,1),(211,1),(213,1),(214,1),(215,1),(272,1)}
       181:{1,4,6,7}:{(140,1),(141,1),(142,1),(216,1),(219,1),(257,1)}
       182:{3,6,7}:{(141,1),(143,1),(220,1),(258,1)}
       183:{1,3,5,7}:{(142,1),(143,1),(144,1),(213,1),(216,1),(217,1)}
       184:{2,5,6}:{(144,1),(215,1),(217,1),(218,1),(224,1),(262,1),(274,1),(296,1)}
       185:{1,5,6}:{(145,1),(147,1),(219,1)}
       186:{2,4,6}:{(145,1),(146,1),(148,1),(219,1),(220,1),(274,1)}
       187:{1,4,5,7}:{(147,1),(148,1),(151,1),(154,1),(219,1),(221,1)}
       188:{3,5,7}:{(148,1),(152,1),(155,1),(220,1)}
       189:{1,3,5}:{(149,1),(150,1),(209,1),(222,1)}
       190:{1,2,4,5}:{(150,1),(151,1),(156,1),(210,1),(222,1),(223,1),(224,1),(269,1),(276,1),(303,1),(312,1)}
       191:{1,3,5}:{(151,1),(152,1),(157,1),(224,1)}
       192:{1,2,4,7}:{(153,1),(154,1),(156,1),(212,1),(225,1),(226,1),(271,1),(304,1)}
       193:{1,3,4,7}:{(154,1),(155,1),(157,1),(221,1),(225,1),(226,1)}
       194:{1,3,6}:{(156,1),(214,1),(223,1),(225,1),(227,1)}
       195:{2,4,6}:{(157,1),(224,1),(226,1),(227,1),(228,1),(274,1),(276,1)}
       196:{2,5,6}:{(158,1),(160,1),(229,1),(230,1)}
       197:{1,4,6}:{(158,1),(161,1),(230,1),(306,1)}
       198:{1,5,7}:{(159,1),(160,1),(164,1),(229,1)}
       199:{2,4,5,7}:{(160,1),(161,1),(165,1),(168,1),(230,1),(231,1),(232,1),(281,1)}
       200:{1,3,6}:{(162,1),(163,1),(172,1),(233,1),(311,1)}
       201:{1,2,5}:{(163,1),(164,1),(173,1),(233,1),(253,1)}
       202:{1,4,5}:{(164,1),(165,1),(170,1),(235,1)}
       203:{3,5}:{(165,1),(171,1)}
       204:{1,2,5,7}:{(166,1),(167,1),(169,1),(176,1),(236,1),(248,1),(281,1)}
       205:{1,4,7}:{(167,1),(168,1),(170,1)}
       206:{3,4,7}:{(168,1),(171,1),(232,1),(243,1)}
       207:{1,2,4,6}:{(169,1),(170,1),(179,1),(234,1),(236,1),(238,1),(239,1),(246,1),(291,1)}
       208:{1,3,4,6}:{(170,1),(171,1),(235,1),(237,1),(238,1),(239,1),(280,1),(282,1)}
       209:{2,3,5}:{(172,1),(173,1),(189,1),(233,1),(240,1),(241,1)}
       210:{2,4,5}:{(173,1),(174,1),(179,1),(240,1),(241,1)}
       211:{1,3,4,5}:{(174,1),(175,1),(180,1),(191,1),(235,1),(241,1),(242,1),(251,1),(282,1),(289,1)}
       212:{2,4,7}:{(176,1),(177,1),(179,1),(243,1)}
       213:{1,3,4,7}:{(177,1),(178,1),(180,1),(183,1),(243,1),(244,1),(290,1)}
       214:{3,6}:{(179,1),(241,1),(243,1)}
       215:{2,4,6}:{(180,1),(184,1),(242,1),(244,1),(245,1),(246,1),(291,1)}
       216:{1,3,6,7}:{(181,1),(182,1),(183,1),(247,1),(249,1),(280,1)}
       217:{2,5,7}:{(183,1),(184,1),(244,1),(247,1),(248,1)}
       218:{1,5,6}:{(184,1),(246,1),(248,1),(253,1),(284,1),(292,1),(306,1)}
       219:{1,4,6}:{(185,1),(186,1),(187,1),(249,1)}
       220:{3,6}:{(186,1),(188,1)}
       221:{1,3,5,7}:{(187,1),(188,1),(191,1),(193,1),(249,1),(250,1)}
       222:{1,4}:{(189,1),(240,1)}
       223:{1,3,5}:{(190,1),(194,1),(241,1),(251,1),(252,1),(314,1)}
       224:{2,5}:{(191,1),(195,1),(253,1)}
       225:{1,3,7}:{(192,1),(194,1),(243,1),(254,1)}
       226:{2,4,7}:{(193,1),(195,1),(250,1),(254,1),(255,1)}
       227:{2,3,6}:{(194,1),(195,1),(252,1),(254,1),(256,1),(291,1)}
       228:{1,4,6}:{(195,1),(253,1),(255,1),(256,1),(292,1),(293,1)}
       229:{1,5,6}:{(196,1),(198,1),(257,1)}
       230:{2,4,6}:{(196,1),(197,1),(199,1),(257,1),(258,1),(296,1)}
       231:{1,4,5,7}:{(198,1),(199,1),(202,1),(205,1),(257,1),(259,1)}
       232:{3,5,7}:{(199,1),(203,1),(206,1),(258,1)}
       233:{1,3,5}:{(200,1),(201,1),(209,1),(260,1)}
       234:{1,2,4,5}:{(201,1),(202,1),(207,1),(210,1),(260,1),(261,1),(262,1),(269,1),(298,1),(303,1),(305,1)}
       235:{1,3,5}:{(202,1),(203,1),(208,1),(262,1)}
       236:{1,2,4,7}:{(204,1),(205,1),(207,1),(212,1),(263,1),(264,1),(271,1),(304,1)}
       237:{1,3,4,7}:{(205,1),(206,1),(208,1),(259,1),(263,1),(264,1)}
       238:{1,3,6}:{(207,1),(214,1),(261,1),(263,1),(265,1)}
       239:{2,4,6}:{(208,1),(262,1),(264,1),(265,1),(266,1),(296,1),(298,1)}
       240:{2,4}:{(209,1),(222,1),(260,1),(267,1)}
       241:{3,5}:{(210,1),(214,1),(267,1)}
       242:{2,4,5}:{(211,1),(215,1),(224,1),(262,1),(268,1),(269,1),(276,1),(298,1),(303,1)}
       243:{3,7}:{(212,1),(214,1)}
       244:{2,4,7}:{(213,1),(215,1),(217,1),(270,1),(271,1),(304,1)}
       245:{2,3,6}:{(214,1),(215,1),(268,1),(270,1),(272,1)}
       246:{1,4,6}:{(215,1),(218,1),(269,1),(271,1),(272,1)}
       247:{2,6,7}:{(216,1),(217,1),(273,1),(274,1),(296,1)}
       248:{1,5,7}:{(217,1),(218,1),(271,1),(273,1)}
       249:{1,3,6}:{(219,1),(220,1),(221,1),(274,1)}
       250:{2,5,7}:{(221,1),(224,1),(226,1),(274,1),(275,1)}
       251:{1,3,4}:{(222,1),(223,1),(267,1),(276,1)}
       252:{2,3,5}:{(223,1),(224,1),(227,1),(276,1),(277,1),(303,1),(313,1)}
       253:{1,5}:{(224,1),(228,1)}
       254:{2,3,7}:{(225,1),(226,1),(227,1),(278,1),(304,1)}
       255:{1,4,7}:{(226,1),(228,1),(275,1),(278,1)}
       256:{1,3,6}:{(227,1),(228,1),(277,1),(278,1),(279,1)}
       257:{1,4,6}:{(229,1),(230,1),(231,1),(280,1)}
       258:{3,6}:{(230,1),(232,1)}
       259:{1,3,5,7}:{(231,1),(232,1),(235,1),(237,1),(280,1),(281,1)}
       260:{1,4}:{(233,1),(240,1)}
       261:{1,3,5}:{(234,1),(238,1),(241,1),(282,1),(283,1),(311,1)}
       262:{2,5}:{(235,1),(239,1),(284,1)}
       263:{1,3,7}:{(236,1),(238,1),(243,1),(285,1)}
       264:{2,4,7}:{(237,1),(239,1),(281,1),(285,1),(286,1)}
       265:{2,3,6}:{(238,1),(239,1),(283,1),(285,1),(287,1),(291,1)}
       266:{1,4,6}:{(239,1),(284,1),(286,1),(287,1),(306,1),(307,1)}
       267:{3,4}:{(240,1),(241,1)}
       268:{2,3,5}:{(241,1),(242,1),(245,1),(288,1),(289,1)}
       269:{1,4,5}:{(242,1),(246,1),(253,1),(284,1),(289,1),(293,1),(307,1)}
       270:{2,3,7}:{(243,1),(244,1),(245,1),(290,1)}
       271:{1,4,7}:{(244,1),(246,1),(248,1),(290,1)}
       272:{1,3,6}:{(245,1),(246,1),(289,1),(290,1),(291,1)}
       273:{1,6,7}:{(247,1),(248,1),(292,1),(306,1)}
       274:{2,6}:{(249,1),(250,1),(292,1)}
       275:{1,5,7}:{(250,1),(253,1),(255,1),(292,1)}
       276:{2,4}:{(251,1),(252,1),(293,1)}
       277:{1,3,5}:{(252,1),(253,1),(256,1),(293,1),(294,1),(311,1)}
       278:{1,3,7}:{(254,1),(255,1),(256,1),(295,1)}
       279:{1,2,6}:{(256,1),(291,1),(294,1),(295,1)}
       280:{1,3,6}:{(257,1),(258,1),(259,1),(296,1)}
       281:{2,5,7}:{(259,1),(262,1),(264,1),(296,1),(297,1)}
       282:{1,3,4}:{(260,1),(261,1),(267,1),(298,1)}
       283:{2,3,5}:{(261,1),(262,1),(265,1),(298,1),(299,1),(303,1),(313,1)}
       284:{1,5}:{(262,1),(266,1)}
       285:{2,3,7}:{(263,1),(264,1),(265,1),(300,1),(304,1)}
       286:{1,4,7}:{(264,1),(266,1),(297,1),(300,1)}
       287:{1,3,6}:{(265,1),(266,1),(299,1),(300,1),(301,1)}
       288:{2,3,4}:{(267,1),(268,1),(276,1),(298,1),(302,1),(313,1)}
       289:{1,3,5}:{(268,1),(269,1),(272,1),(302,1),(303,1)}
       290:{1,3,7}:{(270,1),(271,1),(272,1),(304,1)}
       291:{2,6}:{(272,1),(303,1),(304,1)}
       292:{1,6}:{(274,1),(275,1)}
       293:{1,4}:{(276,1),(277,1)}
       294:{1,2,5}:{(277,1),(279,1),(303,1),(305,1)}
       295:{1,2,7}:{(278,1),(279,1),(304,1)}
       296:{2,6}:{(280,1),(281,1),(306,1)}
       297:{1,5,7}:{(281,1),(284,1),(286,1),(306,1)}
       298:{2,4}:{(282,1),(283,1),(307,1)}
       299:{1,3,5}:{(283,1),(284,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{1,2,6}:{(287,1),(291,1),(308,1),(309,1)}
       302:{1,3,4}:{(288,1),(289,1),(293,1),(307,1),(310,1),(311,1),(314,1)}
       303:{2,5}:{(289,1),(291,1),(310,1)}
       304:{2,7}:{(290,1),(291,1)}
       305:{1,2,4}:{(293,1),(294,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,4}:{(298,1),(299,1)}
       308:{1,2,5}:{(299,1),(301,1),(303,1),(312,1)}
       309:{1,2,7}:{(300,1),(301,1),(304,1)}
       310:{2,4}:{(302,1),(303,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1344 :   0:{1,3,4,5,6}:{(1,1),(2,1),(9,1),(38,1),(100,1),(101,1),(154,1),(164,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(19,1),(55,1),(182,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(20,1),(61,1),(110,1),(111,1),(122,1),(176,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(164,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(12,1),(80,1),(209,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(35,1),(84,1),(150,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(36,1),(87,1),(88,1),(152,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(83,1),(93,1),(221,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(17,1),(18,1),(55,1),(102,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(176,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(22,1),(23,1),(48,1),(55,1),(112,1),(129,1),(132,1),(166,1),(178,1),(182,1),(187,1),(191,1),(224,1),(241,1),(270,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(20,1),(24,1),(113,1),(179,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(57,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(26,1),(65,1),(122,1)}
        15:{1,3,4,5}:{(7,1),(17,1),(27,1),(66,1),(112,1)}
        16:{2,3,4,5,7}:{(7,1),(18,1),(28,1),(29,1),(52,1),(116,1),(126,1),(226,1),(232,1),(233,1),(241,1),(246,1),(271,1),(274,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(15,1),(30,1),(31,1),(73,1),(80,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(84,1),(135,1),(206,1)}
        19:{2,5,6}:{(9,1),(30,1),(35,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(35,1),(36,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(36,1),(152,1)}
        22:{1,3,5,6}:{(11,1),(34,1),(38,1),(39,1),(73,1),(136,1),(164,1),(200,1),(263,1),(286,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(39,1),(40,1),(74,1),(84,1),(139,1),(143,1),(145,1),(150,1),(155,1),(197,1),(202,1),(250,1)}
        24:{1,4,6,7}:{(12,1),(13,1),(36,1),(41,1)}
        25:{2,5,6,7}:{(13,1),(14,1),(41,1),(150,1)}
        26:{1,4,5,6,7}:{(14,1),(42,1),(87,1),(155,1),(156,1)}
        27:{2,4,5}:{(15,1),(30,1),(44,1)}
        28:{1,3,4,5,7}:{(15,1),(16,1),(31,1),(45,1),(46,1),(78,1),(95,1),(145,1),(202,1),(206,1),(218,1),(221,1),(257,1),(268,1),(290,1)}
        29:{2,3,4,6}:{(16,1),(46,1),(47,1),(149,1),(158,1),(217,1),(256,1),(286,1),(289,1)}
        30:{2,4,6}:{(17,1),(19,1),(27,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(20,1),(50,1),(104,1),(113,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(29,1),(51,1),(52,1),(59,1),(117,1),(168,1),(184,1),(185,1),(226,1),(233,1),(237,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(54,1),(166,1),(224,1)}
        34:{2,3,5,6}:{(19,1),(22,1),(49,1),(53,1),(55,1),(56,1),(102,1),(106,1),(166,1),(173,1),(182,1),(224,1)}
        35:{2,5,7}:{(19,1),(20,1),(50,1),(57,1)}
        36:{1,3,6,7}:{(20,1),(21,1),(24,1),(57,1)}
        37:{2,3,5,6,7}:{(21,1),(25,1),(52,1),(58,1),(59,1),(65,1),(124,1),(185,1)}
        38:{1,3,4,6}:{(22,1),(55,1),(60,1),(61,1),(191,1),(194,1),(242,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(56,1),(61,1),(62,1),(104,1),(176,1),(271,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(62,1),(63,1),(117,1),(119,1),(123,1),(178,1),(224,1),(270,1)}
        41:{1,5,6,7}:{(24,1),(25,1),(179,1)}
        42:{2,4,5,6,7}:{(25,1),(26,1),(59,1),(64,1),(65,1),(119,1),(124,1),(183,1)}
        43:{1,2,4,5}:{(27,1),(48,1),(66,1),(112,1),(125,1),(166,1)}
        44:{2,3,5}:{(27,1),(49,1),(66,1),(68,1)}
        45:{2,4,5,7}:{(27,1),(28,1),(50,1),(69,1),(70,1),(109,1),(175,1),(193,1),(277,1),(284,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(70,1),(71,1),(128,1),(178,1),(191,1),(194,1),(302,1)}
        47:{2,3,5,6}:{(29,1),(52,1),(71,1),(72,1),(182,1),(239,1),(278,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(43,1),(73,1),(74,1),(80,1),(134,1)}
        49:{2,3,6}:{(30,1),(44,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(35,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(46,1),(77,1),(78,1),(87,1),(138,1),(146,1),(152,1),(202,1),(206,1),(215,1),(257,1),(261,1)}
        52:{2,3,5,7}:{(32,1),(47,1),(78,1),(79,1),(150,1),(214,1),(260,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(73,1),(80,1),(81,1),(136,1),(200,1),(209,1)}
        54:{1,2,5,7}:{(33,1),(35,1),(74,1),(81,1),(82,1),(197,1)}
        55:{2,4,6}:{(34,1),(38,1),(80,1),(83,1),(84,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(39,1),(76,1),(81,1),(84,1),(85,1),(135,1),(150,1),(197,1)}
        57:{2,6,7}:{(35,1),(36,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(41,1),(78,1),(86,1),(87,1),(152,1),(156,1),(215,1)}
        59:{2,4,6,7}:{(37,1),(79,1),(87,1),(88,1)}
        60:{1,3,4,5}:{(38,1),(83,1),(136,1),(218,1),(221,1),(263,1)}
        61:{1,3,4,7}:{(38,1),(39,1),(84,1),(202,1),(206,1),(251,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(85,1),(152,1),(200,1),(286,1)}
        63:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(91,1),(139,1),(150,1),(209,1),(249,1),(262,1)}
        64:{1,4,5,6,7}:{(41,1),(42,1),(87,1),(92,1),(210,1)}
        65:{3,5,6,7}:{(42,1),(88,1),(152,1),(214,1)}
        66:{1,3,5}:{(43,1),(44,1),(73,1),(93,1),(94,1)}
        67:{1,2,4,5,7}:{(43,1),(45,1),(74,1),(95,1),(96,1),(139,1),(145,1),(157,1),(197,1),(202,1),(216,1),(218,1),(250,1),(290,1),(291,1),(296,1),(309,1)}
        68:{2,3,4}:{(44,1),(94,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(76,1),(95,1),(97,1),(98,1),(162,1),(292,1),(298,1)}
        70:{2,4,6}:{(45,1),(46,1),(98,1),(99,1)}
        71:{1,3,5,6}:{(46,1),(47,1),(78,1),(99,1),(100,1),(164,1),(209,1),(293,1)}
        72:{2,4,5,6}:{(47,1),(79,1),(100,1),(101,1),(217,1)}
        73:{1,3,6}:{(48,1),(49,1),(66,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(54,1),(104,1),(113,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(68,1),(103,1),(106,1),(107,1),(173,1),(242,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(70,1),(108,1),(109,1),(175,1),(240,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(71,1),(109,1),(110,1),(176,1),(179,1),(279,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(72,1),(110,1),(111,1),(226,1)}
        80:{1,4,6}:{(53,1),(55,1),(112,1),(113,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(179,1)}
        82:{1,2,6,7}:{(54,1),(57,1),(114,1),(224,1)}
        83:{2,4,5}:{(55,1),(60,1),(106,1),(112,1),(166,1)}
        84:{2,4,7}:{(55,1),(56,1),(61,1),(113,1)}
        85:{2,3,6,7}:{(56,1),(57,1),(62,1),(114,1),(117,1),(173,1),(224,1)}
        86:{2,5,6,7}:{(57,1),(58,1),(109,1),(119,1),(240,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(110,1),(119,1)}
        88:{3,4,6,7}:{(59,1),(65,1),(111,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(116,1),(121,1),(122,1),(169,1),(228,1),(232,1),(271,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(117,1),(121,1),(122,1),(123,1),(184,1)}
        91:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(122,1),(123,1),(171,1),(227,1),(238,1),(279,1)}
        92:{1,3,5,6,7}:{(64,1),(65,1),(120,1),(124,1),(236,1)}
        93:{2,3,5}:{(66,1),(102,1),(125,1),(166,1)}
        94:{1,3,4}:{(66,1),(68,1),(125,1)}
        95:{1,3,5,7}:{(66,1),(67,1),(69,1),(104,1),(126,1),(127,1),(128,1),(190,1),(271,1),(303,1),(306,1)}
        96:{1,2,4,6}:{(67,1),(70,1),(128,1),(129,1),(178,1),(188,1),(191,1),(224,1),(270,1),(302,1),(313,1)}
        97:{2,3,4,7}:{(68,1),(69,1),(127,1),(130,1),(175,1),(307,1)}
        98:{2,3,6}:{(69,1),(70,1),(128,1)}
        99:{2,5,6}:{(70,1),(71,1),(109,1)}
       100:{1,4,5,6}:{(71,1),(72,1),(110,1),(132,1),(191,1)}
       101:{3,4,5,6}:{(72,1),(111,1),(239,1),(242,1)}
       102:{2,3,6}:{(73,1),(93,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(80,1),(94,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(82,1),(96,1),(138,1),(139,1),(146,1),(198,1),(202,1),(261,1),(262,1),(291,1)}
       106:{2,3,5}:{(75,1),(83,1),(136,1),(263,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(84,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(98,1),(138,1),(142,1),(152,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(99,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(100,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(101,1),(214,1),(251,1)}
       112:{1,4,5}:{(80,1),(83,1),(136,1)}
       113:{1,4,7}:{(80,1),(81,1),(84,1)}
       114:{1,3,6,7}:{(81,1),(82,1),(85,1),(146,1),(200,1)}
       115:{1,2,5,6,7}:{(82,1),(86,1),(139,1),(147,1),(148,1),(156,1),(249,1),(260,1),(293,1)}
       116:{2,4,5,7}:{(83,1),(84,1),(89,1),(140,1),(145,1),(149,1),(150,1),(197,1)}
       117:{2,4,6,7}:{(84,1),(85,1),(90,1),(146,1),(149,1),(150,1)}
       118:{2,3,5,6,7}:{(85,1),(86,1),(91,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(204,1),(212,1),(214,1),(249,1),(260,1),(286,1)}
       119:{2,4,6,7}:{(86,1),(87,1),(143,1),(152,1)}
       120:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(144,1),(152,1),(153,1),(215,1)}
       121:{1,3,4,6}:{(89,1),(149,1),(154,1),(200,1),(252,1),(256,1),(286,1)}
       122:{1,3,5,7}:{(90,1),(150,1),(154,1),(155,1),(214,1)}
       123:{1,4,6,7}:{(91,1),(151,1),(155,1),(202,1),(252,1)}
       124:{2,5,6,7}:{(92,1),(153,1),(156,1),(260,1)}
       125:{2,4}:{(93,1),(94,1)}
       126:{2,3,5,7}:{(93,1),(95,1),(135,1),(157,1),(158,1),(197,1),(216,1),(309,1),(310,1),(311,1)}
       127:{1,3,4,7}:{(94,1),(95,1),(97,1),(157,1),(159,1),(202,1),(251,1),(312,1)}
       128:{1,3,6}:{(95,1),(96,1),(98,1),(158,1),(286,1)}
       129:{1,2,5,6}:{(96,1),(99,1),(139,1),(160,1),(209,1),(216,1),(249,1),(293,1)}
       130:{2,3,4,6}:{(97,1),(98,1),(159,1),(162,1),(163,1)}
       131:{2,3,5,6}:{(98,1),(99,1),(142,1),(160,1),(162,1),(163,1),(164,1)}
       132:{2,4,5,6}:{(99,1),(100,1),(143,1),(163,1),(164,1)}
       133:{1,3,4,5,6}:{(100,1),(101,1),(144,1),(164,1),(165,1),(219,1),(223,1),(259,1)}
       134:{2,4,6}:{(102,1),(103,1),(125,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(112,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(113,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(128,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(129,1),(171,1),(179,1),(225,1),(279,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(116,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(130,1),(170,1),(173,1),(174,1),(175,1),(184,1),(231,1),(237,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(131,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(132,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(133,1),(176,1),(177,1),(229,1),(234,1),(236,1)}
       145:{1,4,5,7}:{(112,1),(113,1),(116,1),(169,1),(178,1),(179,1)}
       146:{1,4,6,7}:{(113,1),(114,1),(117,1),(178,1),(179,1)}
       147:{1,3,5,6,7}:{(114,1),(115,1),(118,1),(171,1),(179,1),(180,1),(181,1),(227,1),(236,1)}
       148:{1,2,4,6,7}:{(115,1),(119,1),(172,1),(180,1),(181,1),(186,1),(237,1),(240,1),(270,1),(302,1),(313,1)}
       149:{2,4,6}:{(116,1),(121,1),(173,1),(178,1),(182,1),(224,1)}
       150:{2,5,7}:{(117,1),(122,1),(179,1),(182,1)}
       151:{2,4,6,7}:{(118,1),(123,1),(175,1),(180,1),(183,1),(184,1),(226,1),(231,1),(270,1)}
       152:{3,6,7}:{(119,1),(176,1)}
       153:{2,4,6,7}:{(120,1),(124,1),(177,1),(185,1),(186,1),(240,1)}
       154:{1,3,5,6}:{(121,1),(122,1),(182,1),(187,1),(239,1)}
       155:{1,4,5,7}:{(122,1),(123,1),(183,1),(187,1),(279,1)}
       156:{1,5,6,7}:{(124,1),(186,1),(279,1)}
       157:{2,4,7}:{(125,1),(126,1),(127,1),(188,1),(314,1)}
       158:{2,3,6}:{(126,1),(128,1),(188,1),(224,1),(313,1)}
       159:{1,3,4,6}:{(127,1),(128,1),(130,1),(188,1),(190,1),(191,1),(242,1)}
       160:{1,3,5,6}:{(128,1),(129,1),(131,1),(171,1),(189,1),(190,1),(191,1)}
       161:{1,2,4,5,6}:{(129,1),(132,1),(172,1),(191,1),(192,1),(196,1),(235,1),(241,1),(244,1),(248,1),(270,1),(278,1),(282,1),(283,1),(302,1),(304,1),(313,1)}
       162:{2,3,5}:{(130,1),(190,1),(193,1)}
       163:{2,4,6}:{(131,1),(175,1),(191,1),(193,1),(194,1)}
       164:{3,5,6}:{(132,1),(176,1),(194,1)}
       165:{2,4,5,6}:{(133,1),(177,1),(195,1),(196,1),(244,1),(248,1),(278,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(158,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(145,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(146,1),(159,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(261,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(160,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(148,1),(161,1),(202,1),(203,1),(208,1),(210,1),(250,1),(254,1),(258,1),(260,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(149,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(162,1),(201,1),(204,1),(205,1),(214,1),(260,1)}
       175:{2,4,7}:{(142,1),(163,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(164,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(165,1),(207,1),(208,1),(254,1),(258,1),(260,1)}
       178:{1,4,6}:{(145,1),(149,1),(200,1),(209,1)}
       179:{1,5,7}:{(146,1),(150,1),(209,1)}
       180:{1,4,6,7}:{(147,1),(151,1),(202,1),(210,1),(252,1)}
       181:{1,3,6,7}:{(148,1),(152,1),(203,1),(212,1),(286,1),(308,1)}
       182:{2,5,6}:{(149,1),(150,1),(154,1),(209,1)}
       183:{2,4,5,7}:{(150,1),(151,1),(155,1),(210,1),(213,1),(214,1),(260,1)}
       184:{3,4,6,7}:{(151,1),(152,1),(206,1),(214,1),(251,1),(256,1),(286,1)}
       185:{2,3,6,7}:{(152,1),(153,1),(207,1),(215,1)}
       186:{1,4,6,7}:{(153,1),(156,1),(208,1),(215,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(213,1),(252,1),(293,1)}
       188:{2,4,6}:{(157,1),(158,1),(159,1),(216,1)}
       189:{2,3,5,6}:{(158,1),(160,1),(199,1),(216,1),(217,1),(249,1),(263,1),(286,1)}
       190:{1,3,5}:{(159,1),(162,1),(216,1),(218,1),(263,1)}
       191:{1,4,6}:{(160,1),(163,1),(202,1),(217,1),(218,1)}
       192:{1,3,5,6}:{(161,1),(164,1),(203,1),(219,1),(220,1),(263,1),(286,1),(294,1),(297,1),(308,1)}
       193:{2,4,5}:{(162,1),(163,1),(218,1),(221,1)}
       194:{3,4,6}:{(163,1),(164,1),(206,1),(221,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(207,1),(222,1),(223,1)}
       196:{1,4,5,6}:{(165,1),(208,1),(223,1),(266,1),(293,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(188,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(189,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(178,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(179,1),(190,1),(225,1),(227,1),(228,1),(271,1),(279,1)}
       202:{1,4,7}:{(171,1),(175,1),(191,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(181,1),(192,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(182,1),(227,1),(231,1),(239,1),(278,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(193,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(194,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(195,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(196,1),(234,1),(275,1),(279,1)}
       209:{1,5,6}:{(178,1),(179,1),(182,1)}
       210:{1,4,5,7}:{(179,1),(180,1),(183,1),(235,1),(236,1)}
       211:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(229,1),(236,1),(237,1),(273,1)}
       212:{2,3,6,7}:{(181,1),(230,1),(237,1),(238,1),(240,1),(299,1),(313,1)}
       213:{2,4,5,6}:{(182,1),(183,1),(187,1),(231,1),(235,1),(239,1),(270,1),(278,1)}
       214:{3,5,7}:{(183,1),(184,1),(239,1)}
       215:{1,3,6,7}:{(185,1),(186,1),(234,1),(240,1)}
       216:{2,5}:{(188,1),(190,1)}
       217:{2,4,6}:{(189,1),(191,1),(226,1),(241,1),(242,1)}
       218:{1,4,5}:{(190,1),(191,1),(193,1),(241,1)}
       219:{1,3,4,6}:{(191,1),(192,1),(194,1),(229,1),(242,1),(243,1),(244,1)}
       220:{2,3,5,6}:{(192,1),(230,1),(244,1),(245,1),(248,1),(278,1),(280,1),(285,1),(299,1),(304,1),(305,1),(313,1)}
       221:{3,4,5}:{(193,1),(194,1)}
       222:{2,3,4,6}:{(194,1),(195,1),(233,1),(244,1),(246,1),(247,1),(305,1)}
       223:{1,3,5,6}:{(195,1),(196,1),(234,1),(247,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(216,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(217,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(209,1),(249,1),(252,1),(286,1),(293,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(218,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(219,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(212,1),(220,1),(254,1),(255,1),(258,1),(260,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(221,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(222,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(215,1),(223,1),(257,1),(258,1)}
       235:{1,4,5,6}:{(209,1),(210,1),(213,1),(252,1),(259,1)}
       236:{1,3,5,7}:{(210,1),(211,1),(214,1),(259,1),(260,1)}
       237:{2,4,6,7}:{(211,1),(212,1),(254,1),(260,1),(261,1),(289,1)}
       238:{1,3,6,7}:{(212,1),(255,1),(261,1),(262,1),(308,1)}
       239:{3,5,6}:{(213,1),(214,1),(256,1),(286,1)}
       240:{2,6,7}:{(215,1),(258,1)}
       241:{2,4,5}:{(216,1),(217,1),(218,1),(263,1)}
       242:{3,4,6}:{(217,1),(251,1),(263,1),(286,1)}
       243:{1,3,4,5}:{(218,1),(219,1),(221,1),(263,1),(265,1),(294,1)}
       244:{2,4,6}:{(219,1),(220,1),(254,1),(265,1),(266,1)}
       245:{1,3,5,6}:{(220,1),(255,1),(266,1),(267,1),(293,1),(294,1),(297,1),(308,1)}
       246:{2,3,4,5}:{(221,1),(222,1),(265,1),(268,1),(311,1)}
       247:{1,3,4,6}:{(222,1),(223,1),(257,1),(266,1),(268,1),(269,1),(297,1)}
       248:{2,5,6}:{(223,1),(258,1),(269,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(241,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(242,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(236,1),(243,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(244,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(238,1),(245,1),(275,1),(276,1),(279,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(239,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(247,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(240,1),(248,1),(277,1)}
       259:{1,3,5,6}:{(235,1),(236,1),(239,1),(273,1),(278,1)}
       260:{2,5,7}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,4,6,7}:{(237,1),(238,1),(275,1),(279,1),(302,1)}
       262:{1,2,6,7}:{(238,1),(240,1),(276,1),(313,1)}
       263:{3,5}:{(241,1),(242,1)}
       264:{2,3,4,6}:{(242,1),(244,1),(272,1),(280,1),(281,1),(285,1),(299,1),(307,1)}
       265:{2,4,5}:{(243,1),(244,1),(280,1),(282,1),(304,1)}
       266:{1,4,6}:{(244,1),(245,1),(275,1),(282,1)}
       267:{1,2,5,6}:{(245,1),(248,1),(276,1),(283,1),(304,1),(313,1)}
       268:{1,3,4,5}:{(246,1),(247,1),(282,1),(284,1),(306,1)}
       269:{2,4,6}:{(247,1),(248,1),(277,1),(284,1),(285,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(263,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(264,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(259,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(260,1),(265,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(266,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(262,1),(267,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(269,1),(292,1)}
       278:{2,5,6}:{(259,1),(260,1),(289,1),(293,1)}
       279:{1,5,7}:{(260,1),(261,1),(293,1)}
       280:{2,3,5}:{(263,1),(264,1),(265,1),(294,1)}
       281:{1,3,4,6}:{(264,1),(266,1),(288,1),(294,1),(295,1),(297,1),(308,1),(312,1)}
       282:{1,4,5}:{(265,1),(266,1),(294,1)}
       283:{1,2,4,6}:{(266,1),(267,1),(269,1),(291,1),(295,1),(296,1),(297,1)}
       284:{2,4,5}:{(268,1),(269,1),(298,1)}
       285:{2,3,6}:{(269,1),(292,1),(297,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(280,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(281,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(278,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(279,1),(282,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(283,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(285,1),(303,1)}
       293:{1,5,6}:{(278,1),(279,1),(302,1)}
       294:{1,3,5}:{(280,1),(281,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       296:{1,2,4,5}:{(282,1),(283,1),(284,1),(304,1),(306,1),(314,1)}
       297:{1,3,6}:{(283,1),(285,1),(303,1),(305,1),(306,1)}
       298:{2,3,5}:{(284,1),(285,1),(306,1),(307,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(295,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(293,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(297,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{2,3,6}:{(295,1),(297,1),(310,1),(311,1)}
       306:{1,3,5}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,4}:{(298,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1345 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(81,1),(326,1),(345,1),(359,1),(363,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(35,1),(43,1),(225,1),(241,1),(260,1),(363,1),(367,1),(448,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(113,1),(308,1),(311,1),(410,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(54,1),(275,1),(293,1),(394,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(52,1),(313,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(40,1),(43,1),(239,1),(255,1),(258,1),(345,1),(368,1),(435,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(151,1),(448,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(448,1),(452,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(79,1),(435,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(43,1),(241,1),(265,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(52,1),(63,1),(105,1),(130,1),(182,1),(191,1),(316,1),(319,1),(413,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(60,1),(67,1),(109,1),(113,1),(190,1),(206,1),(208,1),(297,1),(321,1),(398,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(291,1),(414,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(130,1),(311,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(293,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(52,1),(67,1),(196,1),(219,1)}
        18:{1,2,5,6,7}:{(13,1),(31,1),(33,1),(151,1),(231,1),(330,1),(339,1),(344,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(77,1),(79,1),(142,1),(151,1),(229,1),(240,1),(344,1),(348,1),(435,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(32,1),(34,1),(35,1),(43,1),(241,1),(369,1)}
        21:{1,3,4,6,7}:{(11,1),(36,1),(37,1),(46,1),(87,1),(97,1),(152,1),(159,1),(161,1),(248,1),(271,1),(352,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(37,1),(38,1),(39,1),(147,1),(151,1),(238,1),(371,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(38,1),(40,1),(43,1),(258,1),(262,1)}
        24:{1,4,5,7}:{(12,1),(39,1),(40,1),(435,1),(452,1)}
        25:{1,3,4,5}:{(15,1),(32,1),(42,1),(452,1),(453,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(17,1),(42,1),(45,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(44,1),(46,1),(79,1),(245,1)}
        30:{1,3,4,6}:{(17,1),(45,1),(46,1),(47,1),(80,1),(97,1),(154,1),(175,1)}
        31:{1,3,5,6,7}:{(18,1),(23,1),(49,1),(50,1),(53,1),(112,1),(288,1),(291,1),(394,1)}
        32:{1,3,4,6}:{(20,1),(25,1),(51,1),(52,1),(413,1),(415,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(50,1),(53,1),(113,1),(184,1),(279,1),(379,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(53,1),(54,1),(293,1),(397,1)}
        35:{2,3,5,6}:{(20,1),(28,1),(52,1),(54,1),(55,1),(67,1),(130,1),(182,1),(196,1)}
        36:{1,2,4,6,7}:{(21,1),(56,1),(57,1),(70,1),(120,1),(121,1),(134,1),(190,1),(223,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(197,1),(323,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(67,1),(126,1),(130,1),(208,1),(211,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(61,1),(398,1),(416,1)}
        40:{1,4,6}:{(23,1),(24,1),(60,1)}
        41:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(51,1),(61,1),(64,1),(65,1),(112,1)}
        42:{2,4,5}:{(25,1),(28,1),(52,1),(66,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(28,1),(30,1),(66,1),(69,1)}
        46:{1,3,4,7}:{(29,1),(30,1),(68,1),(70,1),(114,1),(199,1)}
        47:{1,2,4,6}:{(30,1),(69,1),(70,1),(71,1),(134,1),(136,1)}
        48:{1,3,4,5,6}:{(32,1),(72,1),(73,1),(93,1),(139,1),(167,1),(234,1),(266,1),(369,1),(427,1)}
        49:{2,3,5,6,7}:{(31,1),(38,1),(74,1),(75,1),(81,1),(147,1),(151,1),(236,1),(238,1),(330,1),(349,1),(422,1)}
        50:{1,4,6,7}:{(31,1),(40,1),(75,1),(77,1),(435,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(79,1),(435,1),(438,1)}
        52:{2,4,6}:{(32,1),(35,1),(42,1),(79,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1),(43,1),(81,1),(422,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(151,1),(229,1),(245,1)}
        55:{1,3,5,6}:{(35,1),(45,1),(80,1),(82,1),(83,1),(97,1),(154,1),(172,1)}
        56:{1,2,3,6,7}:{(36,1),(84,1),(100,1),(161,1),(176,1),(236,1),(248,1),(485,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(85,1),(238,1),(272,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(85,1),(87,1),(97,1),(161,1),(172,1)}
        59:{1,4,5,7}:{(37,1),(39,1),(87,1),(352,1),(372,1)}
        60:{2,4,6}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{3,4,5,7}:{(39,1),(90,1),(147,1),(438,1),(453,1)}
        62:{2,3,4,5}:{(42,1),(76,1),(92,1),(171,1),(333,1),(453,1)}
        63:{1,4,5,6}:{(40,1),(77,1),(89,1),(93,1),(262,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(90,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(44,1),(79,1),(94,1),(95,1),(151,1)}
        66:{1,4,5}:{(42,1),(45,1),(80,1)}
        67:{2,3,6}:{(43,1),(44,1),(94,1),(97,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(46,1),(95,1),(97,1),(98,1)}
        69:{1,2,5}:{(45,1),(47,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(98,1),(100,1)}
        71:{1,2,3,6}:{(47,1),(99,1),(100,1),(154,1)}
        72:{1,3,4,5,7}:{(48,1),(51,1),(103,1),(104,1),(112,1),(181,1),(192,1),(284,1),(295,1),(384,1),(397,1)}
        73:{2,4,5,6}:{(48,1),(52,1),(101,1),(104,1),(105,1),(130,1),(182,1),(281,1),(461,1)}
        74:{1,3,5,6,7}:{(49,1),(58,1),(106,1),(107,1),(116,1),(188,1),(189,1),(197,1),(300,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(60,1),(107,1),(108,1),(109,1),(398,1)}
        76:{2,3,4,6}:{(52,1),(62,1),(101,1),(110,1),(111,1),(196,1),(281,1),(415,1)}
        77:{1,4,5,7}:{(50,1),(63,1),(108,1),(112,1),(291,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(64,1),(109,1),(112,1),(113,1)}
        79:{2,4,7}:{(51,1),(52,1),(54,1),(114,1)}
        80:{1,4,6}:{(52,1),(55,1),(66,1),(114,1)}
        81:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(116,1),(279,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(114,1),(116,1),(117,1),(197,1),(199,1)}
        83:{1,2,5,6}:{(55,1),(69,1),(115,1),(117,1),(134,1),(182,1)}
        84:{1,2,3,5,7}:{(56,1),(57,1),(119,1),(120,1),(122,1),(287,1),(300,1),(468,1),(515,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(121,1),(134,1),(211,1)}
        86:{1,2,4,5,7}:{(57,1),(59,1),(120,1),(121,1),(122,1),(125,1),(204,1)}
        87:{1,4,6}:{(58,1),(59,1),(60,1)}
        88:{1,3,4,5,7}:{(59,1),(61,1),(122,1),(124,1),(125,1),(189,1),(286,1),(305,1)}
        89:{2,4,5,6}:{(60,1),(63,1),(108,1),(123,1),(126,1),(130,1),(211,1)}
        90:{3,4,6}:{(60,1),(61,1),(126,1)}
        91:{2,3,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(125,1),(127,1),(128,1),(193,1),(218,1),(382,1),(386,1),(398,1),(403,1),(416,1),(473,1),(520,1)}
        92:{1,3,4,5}:{(62,1),(66,1),(111,1),(129,1),(133,1),(214,1),(378,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(112,1),(126,1),(130,1)}
        94:{2,4,6}:{(64,1),(65,1),(67,1),(130,1),(131,1)}
        95:{1,4,5,7}:{(65,1),(66,1),(68,1),(114,1),(131,1),(197,1)}
        96:{1,2,4,5}:{(66,1),(69,1),(115,1),(129,1),(133,1),(136,1)}
        97:{1,3,6}:{(67,1),(68,1),(131,1),(134,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(134,1)}
        99:{1,2,3,5}:{(69,1),(71,1),(133,1),(136,1)}
       100:{1,2,3,7}:{(70,1),(71,1),(199,1)}
       101:{2,3,5,6}:{(73,1),(76,1),(138,1),(139,1),(369,1)}
       102:{1,4,5,6,7}:{(77,1),(137,1),(140,1),(325,1),(329,1),(426,1)}
       103:{1,3,4,6,7}:{(72,1),(140,1),(141,1),(226,1),(228,1),(329,1),(422,1)}
       104:{2,4,5,7}:{(72,1),(73,1),(79,1),(138,1),(141,1),(142,1),(151,1),(229,1),(332,1),(424,1)}
       105:{1,4,5,6}:{(73,1),(80,1),(139,1),(142,1),(172,1),(328,1),(489,1)}
       106:{1,2,5,6,7}:{(74,1),(85,1),(144,1),(155,1),(238,1),(247,1),(325,1),(330,1)}
       107:{1,4,6,7}:{(74,1),(75,1),(87,1),(145,1),(352,1)}
       108:{2,4,5,7}:{(75,1),(77,1),(89,1),(145,1),(147,1),(151,1),(238,1)}
       109:{3,4,6,7}:{(75,1),(90,1),(147,1),(422,1),(438,1)}
       110:{2,3,4,7}:{(76,1),(79,1),(138,1),(149,1),(245,1),(332,1),(438,1)}
       111:{1,3,4,6}:{(76,1),(80,1),(92,1),(139,1),(149,1),(150,1),(154,1),(241,1),(328,1)}
       112:{1,3,5,7}:{(77,1),(78,1),(93,1),(147,1),(151,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(81,1),(94,1),(151,1),(152,1)}
       114:{1,4,7}:{(79,1),(80,1),(82,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(96,1),(150,1),(153,1),(154,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(97,1),(152,1),(155,1)}
       117:{1,2,5,7}:{(82,1),(83,1),(153,1),(155,1),(229,1)}
       118:{1,2,3,5,6}:{(83,1),(99,1),(154,1),(156,1),(157,1),(176,1),(230,1),(250,1),(270,1),(272,1),(354,1),(355,1)}
       119:{1,2,3,5,6}:{(84,1),(85,1),(158,1),(161,1),(176,1),(253,1),(257,1),(270,1),(272,1),(449,1),(505,1),(537,1)}
       120:{1,2,4,7}:{(84,1),(158,1),(159,1),(337,1),(352,1)}
       121:{1,2,4,6}:{(85,1),(86,1),(87,1),(161,1),(164,1)}
       122:{1,3,5,7}:{(86,1),(159,1),(161,1),(162,1),(253,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(145,1),(163,1),(172,1)}
       124:{1,3,4,6}:{(87,1),(88,1),(90,1),(161,1),(163,1),(164,1)}
       125:{2,4,5,7}:{(88,1),(162,1),(164,1),(165,1),(238,1),(337,1),(356,1)}
       126:{3,5,6}:{(89,1),(90,1),(147,1)}
       127:{2,3,4,6}:{(90,1),(91,1),(94,1),(164,1),(168,1),(169,1),(268,1),(370,1),(425,1),(501,1),(536,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(95,1),(149,1),(165,1),(169,1),(170,1),(174,1),(243,1),(264,1),(352,1),(372,1),(421,1),(428,1),(435,1),(438,1),(442,1),(452,1),(453,1),(535,1)}
       129:{2,4,5}:{(92,1),(150,1),(171,1)}
       130:{2,5,6}:{(93,1),(94,1),(151,1),(172,1)}
       131:{1,4,6}:{(94,1),(95,1),(97,1),(172,1)}
       132:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(153,1),(170,1),(173,1),(174,1),(177,1),(247,1),(272,1),(352,1),(372,1),(492,1),(502,1),(535,1),(550,1)}
       133:{1,3,5}:{(96,1),(154,1),(171,1),(175,1)}
       134:{1,2,6}:{(97,1),(98,1)}
       135:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(174,1),(176,1),(177,1),(272,1),(531,1),(537,1),(550,1)}
       136:{1,2,4}:{(99,1),(175,1)}
       137:{2,4,5,6,7}:{(102,1),(108,1),(178,1),(179,1),(183,1),(274,1),(277,1),(379,1),(460,1)}
       138:{2,3,5,7}:{(101,1),(104,1),(110,1),(180,1),(181,1),(397,1)}
       139:{1,3,5,6}:{(101,1),(105,1),(111,1),(181,1),(182,1)}
       140:{1,3,5,6,7}:{(102,1),(103,1),(112,1),(179,1),(183,1),(384,1)}
       141:{2,4,6,7}:{(103,1),(104,1),(180,1),(183,1),(184,1),(279,1)}
       142:{1,4,5,7}:{(104,1),(105,1),(114,1),(181,1),(184,1),(197,1),(377,1),(457,1)}
       143:{1,2,4,5,6}:{(105,1),(115,1),(182,1),(185,1),(186,1),(203,1),(220,1),(281,1),(304,1),(319,1),(322,1),(461,1),(462,1)}
       144:{1,2,4,6,7}:{(106,1),(107,1),(121,1),(187,1),(188,1),(190,1),(374,1),(379,1),(454,1)}
       145:{1,4,5,7}:{(107,1),(108,1),(123,1),(189,1),(197,1)}
       146:{1,3,4,6,7}:{(107,1),(109,1),(124,1),(188,1),(189,1),(190,1),(286,1)}
       147:{3,5,7}:{(108,1),(109,1),(126,1)}
       148:{2,3,4,6,7}:{(109,1),(110,1),(113,1),(127,1),(180,1),(190,1),(193,1),(194,1),(277,1),(297,1),(373,1),(381,1),(386,1),(398,1),(459,1),(511,1)}
       149:{1,3,4,7}:{(110,1),(111,1),(114,1),(181,1),(195,1),(199,1),(293,1),(377,1)}
       150:{2,4,6}:{(111,1),(129,1),(182,1),(195,1),(196,1)}
       151:{2,5,7}:{(112,1),(113,1),(130,1),(197,1)}
       152:{1,4,6,7}:{(113,1),(114,1),(116,1),(131,1),(197,1)}
       153:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{1,3,6}:{(115,1),(133,1),(196,1),(199,1)}
       155:{1,2,6,7}:{(116,1),(117,1),(134,1),(279,1)}
       156:{1,2,3,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(280,1),(300,1),(302,1),(303,1)}
       157:{1,2,4,6}:{(118,1),(136,1),(200,1),(202,1),(203,1),(281,1),(322,1)}
       158:{1,2,4,6}:{(119,1),(120,1),(204,1),(205,1),(309,1),(322,1),(547,1)}
       159:{1,3,4,7}:{(120,1),(122,1),(205,1),(206,1),(515,1)}
       160:{1,2,4,5,6}:{(121,1),(123,1),(187,1),(204,1),(207,1),(211,1),(220,1),(309,1),(315,1),(319,1),(322,1),(411,1),(478,1)}
       161:{1,3,6}:{(121,1),(122,1),(208,1)}
       162:{2,3,5,7}:{(122,1),(125,1),(206,1),(208,1),(209,1),(306,1)}
       163:{1,3,5,6}:{(123,1),(124,1),(126,1),(189,1),(211,1)}
       164:{2,4,6}:{(124,1),(125,1),(208,1),(211,1),(212,1)}
       165:{1,4,5,7}:{(125,1),(209,1),(212,1),(291,1),(387,1),(404,1)}
       166:{1,2,4,5}:{(129,1),(191,1),(214,1),(313,1),(378,1),(391,1)}
       167:{3,4,5,6}:{(126,1),(192,1),(215,1),(415,1),(514,1)}
       168:{2,3,5,6}:{(126,1),(127,1),(130,1),(193,1),(211,1),(215,1),(216,1),(461,1),(514,1),(542,1)}
       169:{1,3,4,6}:{(127,1),(128,1),(131,1),(212,1),(216,1),(217,1),(221,1),(317,1),(322,1),(413,1),(415,1),(458,1),(546,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(195,1),(217,1),(218,1),(296,1),(398,1),(416,1),(463,1),(475,1)}
       171:{2,3,5}:{(129,1),(133,1),(196,1),(214,1),(219,1)}
       172:{1,5,6}:{(130,1),(131,1),(197,1)}
       173:{1,2,4,6}:{(131,1),(132,1),(134,1),(217,1),(220,1),(221,1),(322,1),(546,1),(552,1)}
       174:{1,3,5,7}:{(132,1),(133,1),(199,1),(218,1),(221,1),(222,1),(323,1),(515,1),(522,1)}
       175:{1,3,4}:{(133,1),(136,1),(219,1)}
       176:{1,2,3,6}:{(134,1),(135,1),(221,1),(223,1),(552,1)}
       177:{1,2,4,7}:{(135,1),(136,1),(222,1),(223,1),(547,1)}
       178:{1,4,5,6,7}:{(137,1),(145,1),(224,1),(231,1),(329,1),(488,1)}
       179:{3,5,6,7}:{(137,1),(147,1),(226,1),(422,1),(490,1)}
       180:{2,3,6,7}:{(138,1),(141,1),(228,1),(422,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(228,1),(229,1)}
       182:{2,5,6}:{(139,1),(150,1),(229,1)}
       183:{2,5,6,7}:{(140,1),(141,1),(151,1),(231,1),(424,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(228,1),(231,1)}
       185:{1,2,4,5,7}:{(142,1),(143,1),(153,1),(229,1),(232,1),(233,1),(247,1),(332,1),(348,1),(352,1),(424,1),(426,1)}
       186:{1,3,5,6}:{(143,1),(154,1),(230,1),(233,1),(234,1),(250,1),(354,1),(369,1)}
       187:{1,2,4,5,7}:{(144,1),(145,1),(160,1),(235,1),(238,1),(247,1),(337,1),(343,1),(348,1),(352,1),(433,1),(492,1)}
       188:{1,3,6,7}:{(144,1),(161,1),(235,1),(236,1),(422,1)}
       189:{1,3,5,7}:{(145,1),(146,1),(147,1),(163,1),(238,1)}
       190:{2,4,6,7}:{(146,1),(164,1),(236,1),(238,1),(239,1),(337,1)}
       191:{1,2,4,6}:{(150,1),(166,1),(225,1),(240,1),(241,1),(328,1)}
       192:{3,4,5,7}:{(147,1),(167,1),(226,1),(242,1),(438,1),(490,1)}
       193:{2,3,5,7}:{(147,1),(148,1),(151,1),(168,1),(238,1),(242,1),(243,1),(424,1),(490,1),(529,1)}
       194:{1,3,4,6,7}:{(148,1),(149,1),(152,1),(169,1),(228,1),(239,1),(243,1),(244,1),(248,1),(329,1),(345,1),(352,1),(417,1),(420,1),(422,1),(428,1),(435,1),(438,1),(528,1)}
       195:{2,4,7}:{(149,1),(150,1),(229,1),(245,1)}
       196:{2,3,6}:{(150,1),(154,1),(171,1),(241,1),(245,1)}
       197:{1,5,7}:{(151,1),(152,1),(172,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(173,1),(244,1),(247,1),(248,1),(352,1),(485,1),(492,1),(528,1)}
       199:{1,3,7}:{(153,1),(154,1),(245,1)}
       200:{1,3,4,6}:{(154,1),(157,1),(175,1),(246,1),(249,1),(250,1),(354,1)}
       201:{1,2,3,6,7}:{(155,1),(156,1),(176,1),(248,1),(251,1),(331,1),(354,1),(531,1)}
       202:{1,2,4,7}:{(156,1),(157,1),(249,1),(332,1),(352,1)}
       203:{1,2,4,5}:{(157,1),(250,1),(272,1),(333,1),(372,1)}
       204:{1,2,4,5}:{(158,1),(253,1),(272,1),(356,1),(372,1)}
       205:{1,3,4,6}:{(158,1),(159,1),(161,1),(253,1),(254,1),(505,1),(538,1)}
       206:{2,3,4,7}:{(159,1),(162,1),(254,1),(255,1),(337,1),(493,1)}
       207:{1,3,5,6}:{(160,1),(161,1),(235,1),(253,1),(256,1),(257,1),(369,1),(505,1)}
       208:{2,3,6}:{(161,1),(162,1),(164,1),(258,1)}
       209:{1,3,5,7}:{(162,1),(165,1),(255,1),(258,1),(259,1),(357,1)}
       210:{1,3,4,5,6}:{(163,1),(167,1),(237,1),(256,1),(261,1),(266,1),(365,1),(369,1),(451,1),(530,1)}
       211:{2,5,6}:{(163,1),(164,1),(238,1),(262,1)}
       212:{1,4,6}:{(164,1),(165,1),(258,1),(262,1)}
       213:{1,2,4,5,7}:{(165,1),(166,1),(170,1),(240,1),(259,1),(263,1),(264,1),(344,1),(364,1),(421,1),(429,1),(432,1),(435,1),(443,1),(448,1),(452,1)}
       214:{1,3,5}:{(166,1),(171,1),(241,1),(265,1)}
       215:{2,4,5,6}:{(167,1),(168,1),(242,1),(266,1),(370,1)}
       216:{1,3,5,6}:{(168,1),(169,1),(172,1),(243,1),(262,1),(266,1),(267,1),(369,1),(489,1),(549,1)}
       217:{2,4,6}:{(169,1),(170,1),(267,1),(268,1)}
       218:{2,3,5,7}:{(170,1),(171,1),(174,1),(245,1),(264,1),(268,1),(269,1),(371,1),(493,1),(503,1)}
       219:{2,3,4}:{(171,1),(175,1),(265,1)}
       220:{1,2,5,6}:{(172,1),(173,1),(247,1),(267,1),(270,1),(272,1),(549,1)}
       221:{1,3,6}:{(173,1),(174,1),(268,1)}
       222:{1,3,4,7}:{(174,1),(175,1),(177,1),(269,1),(271,1),(352,1),(538,1)}
       223:{1,2,4,6}:{(176,1),(177,1),(271,1),(272,1)}
       224:{1,3,5,6,7}:{(178,1),(179,1),(189,1),(273,1),(274,1),(512,1)}
       225:{1,2,5,6}:{(182,1),(191,1),(275,1),(276,1),(391,1),(467,1)}
       226:{3,4,6,7}:{(179,1),(192,1),(277,1)}
       227:{2,3,5,6,7}:{(179,1),(180,1),(183,1),(193,1),(274,1),(277,1),(278,1),(373,1)}
       228:{1,3,6,7}:{(180,1),(181,1),(184,1),(279,1)}
       229:{2,5,7}:{(181,1),(182,1),(195,1),(279,1)}
       230:{2,3,5,6}:{(182,1),(186,1),(196,1),(276,1),(280,1),(281,1),(299,1),(400,1),(461,1)}
       231:{1,5,6,7}:{(183,1),(184,1),(197,1),(457,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(279,1),(282,1),(283,1),(304,1),(379,1),(381,1),(383,1)}
       233:{1,3,5,7}:{(185,1),(186,1),(199,1),(280,1),(283,1),(284,1),(397,1)}
       234:{1,3,4,6}:{(186,1),(281,1),(284,1),(285,1),(322,1),(415,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(207,1),(286,1),(287,1),(397,1),(515,1)}
       236:{2,3,6,7}:{(188,1),(190,1),(208,1),(287,1),(288,1),(454,1)}
       237:{1,3,4,5,7}:{(189,1),(192,1),(210,1),(273,1),(286,1),(290,1),(295,1),(392,1),(397,1),(470,1),(512,1)}
       238:{2,5,7}:{(189,1),(190,1),(211,1),(291,1)}
       239:{1,4,6,7}:{(190,1),(212,1),(288,1),(291,1),(387,1)}
       240:{1,2,4,7}:{(191,1),(195,1),(275,1),(293,1),(377,1)}
       241:{1,3,6}:{(191,1),(196,1),(214,1),(293,1)}
       242:{2,4,5,7}:{(192,1),(193,1),(215,1),(277,1),(295,1),(398,1)}
       243:{1,3,5,7}:{(193,1),(194,1),(197,1),(216,1),(291,1),(295,1),(296,1),(397,1),(457,1),(541,1)}
       244:{2,4,6,7}:{(194,1),(195,1),(217,1),(279,1),(296,1),(297,1),(398,1),(454,1),(463,1)}
       245:{2,3,7}:{(195,1),(196,1),(199,1),(293,1)}
       246:{2,3,4,6}:{(196,1),(200,1),(219,1),(281,1),(294,1),(298,1),(299,1),(400,1)}
       247:{1,2,5,7}:{(197,1),(198,1),(220,1),(296,1),(300,1),(541,1)}
       248:{1,3,6,7}:{(198,1),(199,1),(221,1),(297,1),(300,1),(515,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(202,1),(298,1),(302,1)}
       250:{1,3,5}:{(200,1),(203,1),(299,1)}
       251:{1,2,4,6,7}:{(201,1),(202,1),(223,1),(301,1),(303,1),(304,1),(381,1),(543,1),(552,1)}
       252:{1,2,4,5,7}:{(202,1),(203,1),(302,1),(303,1),(304,1),(382,1),(401,1)}
       253:{1,3,5}:{(204,1),(205,1),(306,1)}
       254:{2,3,4,6}:{(205,1),(206,1),(208,1),(306,1),(307,1),(309,1),(479,1),(523,1)}
       255:{1,3,4,7}:{(206,1),(209,1),(307,1),(308,1),(387,1),(464,1)}
       256:{1,3,4,6}:{(207,1),(286,1),(305,1),(309,1),(322,1),(415,1)}
       257:{2,3,5,6}:{(207,1),(208,1),(211,1),(287,1),(306,1),(309,1),(310,1),(411,1),(479,1)}
       258:{1,3,6}:{(208,1),(209,1),(212,1),(311,1)}
       259:{1,2,5,7}:{(209,1),(308,1),(311,1),(405,1)}
       260:{1,2,3,5}:{(214,1),(289,1),(313,1),(391,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(290,1),(309,1),(314,1),(315,1),(411,1),(483,1),(542,1)}
       262:{1,5,6}:{(211,1),(212,1),(291,1)}
       263:{1,2,4,6}:{(212,1),(213,1),(217,1),(311,1),(316,1),(317,1),(413,1),(458,1),(467,1)}
       264:{1,3,5,7}:{(213,1),(214,1),(218,1),(293,1),(317,1),(318,1),(414,1),(464,1),(476,1)}
       265:{1,3,4}:{(214,1),(219,1),(313,1)}
       266:{1,4,5,6}:{(215,1),(216,1),(295,1),(319,1),(322,1),(413,1)}
       267:{2,5,6}:{(216,1),(217,1),(296,1)}
       268:{2,3,6}:{(217,1),(218,1),(221,1),(317,1)}
       269:{2,3,4,7}:{(218,1),(219,1),(222,1),(318,1),(321,1),(398,1),(523,1)}
       270:{1,3,5,6}:{(220,1),(221,1),(300,1),(320,1),(322,1),(323,1)}
       271:{1,3,4,6}:{(221,1),(222,1),(223,1),(321,1),(322,1),(323,1)}
       272:{1,2,5}:{(223,1),(323,1)}
       273:{1,3,4,6,7}:{(224,1),(226,1),(237,1),(324,1),(329,1),(417,1),(422,1)}
       274:{2,5,6,7}:{(224,1),(238,1),(324,1),(325,1),(529,1)}
       275:{1,2,5,7}:{(225,1),(229,1),(240,1),(326,1),(327,1)}
       276:{1,3,5,6}:{(225,1),(230,1),(241,1),(327,1),(328,1),(347,1),(437,1),(489,1)}
       277:{2,4,6,7}:{(226,1),(227,1),(242,1),(329,1)}
       278:{1,3,5,6,7}:{(227,1),(228,1),(231,1),(243,1),(325,1),(329,1),(330,1),(417,1),(422,1)}
       279:{2,6,7}:{(228,1),(229,1)}
       280:{2,3,5,7}:{(229,1),(230,1),(233,1),(245,1),(327,1),(331,1),(332,1),(424,1)}
       281:{2,4,6}:{(230,1),(234,1),(328,1),(332,1),(333,1)}
       282:{1,2,5,6,7}:{(231,1),(232,1),(247,1),(330,1),(334,1),(355,1),(424,1),(485,1)}
       283:{1,3,6,7}:{(232,1),(233,1),(331,1),(354,1),(422,1)}
       284:{1,3,4,7}:{(233,1),(234,1),(332,1),(352,1),(438,1)}
       285:{1,3,4,5}:{(234,1),(250,1),(333,1),(372,1),(453,1)}
       286:{1,3,4,7}:{(235,1),(256,1),(337,1),(352,1),(438,1)}
       287:{2,3,5,7}:{(235,1),(236,1),(238,1),(257,1),(337,1),(338,1),(433,1),(493,1)}
       288:{1,3,6,7}:{(236,1),(239,1),(258,1),(338,1),(339,1)}
       289:{1,2,3,6}:{(241,1),(260,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(237,1),(238,1),(261,1),(324,1),(337,1),(342,1),(343,1),(433,1),(498,1),(529,1)}
       291:{1,5,7}:{(238,1),(239,1),(262,1)}
       292:{1,2,4,6,7}:{(239,1),(240,1),(244,1),(263,1),(326,1),(339,1),(344,1),(345,1),(420,1),(429,1),(435,1)}
       293:{1,3,7}:{(240,1),(241,1),(245,1)}
       294:{1,3,4,6}:{(241,1),(246,1),(265,1),(328,1),(341,1),(346,1),(347,1),(437,1)}
       295:{1,4,5,7}:{(242,1),(243,1),(266,1),(329,1),(348,1),(352,1),(435,1)}
       296:{2,5,7}:{(243,1),(244,1),(267,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(248,1),(268,1),(345,1),(349,1),(422,1),(493,1)}
       298:{2,3,4,7}:{(245,1),(246,1),(249,1),(332,1),(346,1),(351,1)}
       299:{2,3,5}:{(246,1),(250,1),(333,1),(347,1)}
       300:{1,3,5,7}:{(247,1),(248,1),(270,1),(349,1),(352,1)}
       301:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(271,1),(350,1),(352,1),(353,1),(354,1),(441,1),(528,1),(532,1),(551,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(252,1),(351,1),(354,1)}
       303:{1,2,5,7}:{(251,1),(272,1),(353,1),(355,1),(424,1)}
       304:{1,2,4,6}:{(252,1),(354,1),(355,1),(425,1),(441,1)}
       305:{1,3,4,5}:{(253,1),(256,1),(356,1),(372,1),(453,1)}
       306:{2,3,5}:{(253,1),(254,1),(356,1),(357,1)}
       307:{1,3,4,6}:{(254,1),(255,1),(258,1),(357,1),(358,1),(361,1),(446,1),(504,1)}
       308:{1,2,4,7}:{(255,1),(259,1),(358,1),(359,1)}
       309:{2,4,6}:{(256,1),(257,1),(337,1),(356,1),(361,1)}
       310:{1,3,5,6}:{(257,1),(258,1),(262,1),(338,1),(357,1),(361,1),(362,1),(446,1)}
       311:{1,2,6}:{(258,1),(259,1)}
       312:{1,2,3,5,7}:{(259,1),(260,1),(264,1),(340,1),(359,1),(363,1),(364,1),(432,1),(444,1),(448,1)}
       313:{1,2,4}:{(260,1),(265,1)}
       314:{2,3,5,6}:{(261,1),(342,1),(360,1),(365,1),(369,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(343,1),(361,1),(365,1),(508,1),(549,1)}
       316:{1,2,5,6}:{(262,1),(263,1),(267,1),(344,1),(367,1),(448,1),(489,1)}
       317:{1,3,6}:{(263,1),(264,1),(268,1)}
       318:{1,3,4,7}:{(264,1),(265,1),(269,1),(364,1),(368,1),(435,1),(504,1)}
       319:{2,4,5,6}:{(266,1),(267,1),(348,1),(369,1),(370,1)}
       320:{2,3,5,6}:{(267,1),(268,1),(270,1),(349,1),(367,1),(369,1),(370,1),(371,1)}
       321:{2,3,4,6}:{(268,1),(269,1),(271,1),(368,1),(370,1),(371,1)}
       322:{1,4,6}:{(270,1),(352,1),(370,1),(372,1)}
       323:{1,3,5}:{(271,1),(272,1),(371,1),(372,1)}
       324:{2,4,6,7}:{(273,1),(274,1),(290,1),(373,1),(374,1),(454,1)}
       325:{1,5,6,7}:{(274,1),(291,1),(374,1),(541,1)}
       326:{1,2,6,7}:{(275,1),(279,1),(376,1),(467,1)}
       327:{1,3,5,7}:{(275,1),(276,1),(280,1),(293,1),(376,1),(377,1),(457,1)}
       328:{1,4,6}:{(276,1),(281,1),(377,1),(378,1)}
       329:{1,4,6,7}:{(277,1),(278,1),(295,1),(379,1)}
       330:{2,5,6,7}:{(278,1),(279,1),(296,1),(379,1),(454,1)}
       331:{2,3,6,7}:{(279,1),(280,1),(283,1),(376,1),(381,1),(400,1)}
       332:{2,4,7}:{(280,1),(281,1),(284,1),(377,1)}
       333:{2,4,5}:{(281,1),(285,1),(299,1),(378,1)}
       334:{1,3,5,6,7}:{(282,1),(283,1),(300,1),(380,1),(383,1),(384,1),(402,1),(510,1),(541,1)}
       335:{1,3,4,6,7}:{(283,1),(284,1),(381,1),(383,1),(384,1),(385,1),(459,1)}
       336:{1,3,4,5,7}:{(284,1),(285,1),(302,1),(382,1),(384,1),(385,1),(401,1),(473,1)}
       337:{2,4,7}:{(286,1),(287,1),(309,1),(387,1)}
       338:{1,3,5,7}:{(287,1),(288,1),(291,1),(310,1),(387,1),(388,1),(464,1)}
       339:{1,2,6,7}:{(288,1),(311,1),(388,1),(454,1)}
       340:{1,2,3,7}:{(289,1),(293,1),(390,1)}
       341:{1,2,4,6}:{(289,1),(294,1),(313,1),(390,1),(391,1),(467,1)}
       342:{2,3,5,7}:{(290,1),(314,1),(373,1),(386,1),(392,1),(397,1)}
       343:{1,4,5,7}:{(290,1),(291,1),(315,1),(374,1),(387,1),(392,1),(519,1),(541,1)}
       344:{1,2,5,7}:{(291,1),(292,1),(296,1),(316,1),(394,1),(457,1)}
       345:{1,3,6,7}:{(292,1),(293,1),(297,1),(317,1),(394,1),(464,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(377,1),(390,1),(396,1)}
       347:{1,3,5}:{(294,1),(299,1),(378,1),(391,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(319,1),(379,1),(397,1),(398,1)}
       349:{2,3,5,7}:{(296,1),(297,1),(300,1),(320,1),(394,1),(397,1),(398,1)}
       350:{2,3,4,6,7}:{(297,1),(298,1),(301,1),(321,1),(381,1),(395,1),(398,1),(399,1),(400,1),(459,1),(474,1),(511,1),(516,1),(545,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(302,1),(382,1),(396,1),(400,1)}
       352:{1,4,7}:{(300,1),(322,1),(398,1)}
       353:{1,3,5,7}:{(301,1),(303,1),(323,1),(399,1),(401,1),(402,1),(541,1)}
       354:{1,3,6}:{(302,1),(304,1),(400,1)}
       355:{1,2,5,6}:{(303,1),(304,1),(402,1),(461,1),(552,1)}
       356:{2,4,5}:{(305,1),(306,1),(309,1),(404,1)}
       357:{1,3,5}:{(306,1),(307,1),(404,1),(405,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(311,1),(405,1),(406,1),(477,1)}
       359:{1,2,3,7}:{(308,1),(406,1),(464,1)}
       360:{2,3,4,6}:{(309,1),(314,1),(386,1),(403,1),(407,1),(415,1),(479,1),(483,1)}
       361:{1,4,6}:{(309,1),(310,1),(387,1),(404,1)}
       362:{1,2,5,6}:{(310,1),(311,1),(388,1),(405,1),(408,1),(411,1)}
       363:{1,2,3,6}:{(311,1),(312,1),(317,1),(410,1),(467,1)}
       364:{1,2,4,7}:{(312,1),(313,1),(318,1),(410,1),(477,1)}
       365:{1,3,5,6}:{(314,1),(315,1),(392,1),(407,1),(411,1)}
       366:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(393,1),(408,1),(411,1),(412,1),(413,1),(481,1),(483,1),(513,1),(518,1),(542,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(320,1),(394,1),(413,1),(414,1)}
       368:{1,3,4,6}:{(317,1),(318,1),(321,1),(410,1),(413,1),(414,1)}
       369:{3,5,6}:{(319,1),(397,1),(415,1)}
       370:{2,4,6}:{(320,1),(322,1),(398,1),(413,1),(415,1),(416,1)}
       371:{2,3,5}:{(321,1),(323,1),(414,1),(416,1)}
       372:{1,4,5}:{(322,1),(323,1),(416,1)}
       373:{2,3,6,7}:{(324,1),(342,1),(417,1),(422,1)}
       374:{1,4,6,7}:{(324,1),(325,1),(343,1),(417,1)}
       375:{1,2,5,6,7}:{(325,1),(326,1),(330,1),(344,1),(418,1),(419,1),(496,1),(529,1)}
       376:{1,3,6,7}:{(326,1),(327,1),(331,1),(420,1),(437,1)}
       377:{1,4,7}:{(327,1),(328,1),(332,1)}
       378:{1,4,5}:{(328,1),(333,1),(347,1)}
       379:{2,4,6,7}:{(329,1),(330,1),(348,1),(422,1)}
       380:{2,3,5,6,7}:{(330,1),(331,1),(334,1),(349,1),(419,1),(422,1),(423,1),(424,1),(440,1),(486,1),(490,1),(529,1)}
       381:{2,4,6,7}:{(331,1),(332,1),(335,1),(420,1),(424,1),(425,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(336,1),(351,1),(421,1),(424,1),(425,1)}
       383:{1,4,6,7}:{(334,1),(352,1),(423,1),(426,1),(441,1)}
       384:{1,3,5,7}:{(335,1),(424,1),(426,1),(427,1),(490,1)}
       385:{1,3,4,6}:{(336,1),(354,1),(425,1),(427,1),(441,1),(501,1)}
       386:{2,3,4,7}:{(337,1),(342,1),(360,1),(428,1),(438,1),(493,1),(498,1)}
       387:{1,4,7}:{(337,1),(338,1),(361,1)}
       388:{1,2,5,7}:{(338,1),(339,1),(362,1),(429,1),(433,1)}
       389:{1,2,3,6,7}:{(339,1),(340,1),(345,1),(363,1),(430,1),(431,1),(486,1),(534,1)}
       390:{1,2,4,7}:{(340,1),(341,1),(346,1),(432,1)}
       391:{1,2,5}:{(341,1),(347,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(365,1),(417,1),(428,1),(433,1)}
       393:{1,2,4,5,7}:{(343,1),(344,1),(348,1),(366,1),(418,1),(429,1),(433,1),(434,1),(435,1),(488,1),(498,1),(529,1)}
       394:{1,3,5,7}:{(344,1),(345,1),(349,1),(367,1),(435,1)}
       395:{1,3,4,6,7}:{(345,1),(346,1),(350,1),(368,1),(420,1),(431,1),(435,1),(436,1),(437,1),(494,1),(500,1),(534,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(351,1),(421,1),(432,1),(437,1)}
       397:{3,5,7}:{(348,1),(369,1),(422,1),(438,1)}
       398:{2,4,7}:{(349,1),(352,1),(370,1),(435,1),(438,1)}
       399:{2,3,5,7}:{(350,1),(353,1),(371,1),(424,1),(436,1),(439,1),(440,1),(490,1),(529,1)}
       400:{2,3,6}:{(351,1),(354,1),(425,1),(437,1)}
       401:{1,4,5,7}:{(352,1),(353,1),(372,1),(439,1),(441,1)}
       402:{1,3,5,6}:{(353,1),(354,1),(355,1),(440,1),(441,1),(549,1),(551,1)}
       403:{2,3,4,5}:{(356,1),(360,1),(442,1),(453,1),(503,1),(509,1)}
       404:{1,4,5}:{(356,1),(357,1),(361,1)}
       405:{1,2,5}:{(357,1),(358,1)}
       406:{1,2,3,6}:{(358,1),(359,1),(444,1),(446,1)}
       407:{1,3,4,6}:{(360,1),(361,1),(365,1),(428,1),(442,1),(445,1),(446,1),(505,1),(508,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(429,1),(443,1),(445,1),(446,1)}
       409:{1,2,3,5,6}:{(362,1),(363,1),(367,1),(430,1),(444,1),(446,1),(447,1),(448,1),(450,1),(496,1),(507,1),(534,1)}
       410:{1,2,4,6}:{(363,1),(364,1),(368,1),(448,1)}
       411:{2,5,6}:{(365,1),(433,1),(445,1)}
       412:{1,3,5,6}:{(366,1),(369,1),(434,1),(446,1),(450,1),(451,1),(507,1),(534,1)}
       413:{1,4,6}:{(367,1),(370,1),(435,1),(452,1)}
       414:{1,3,5}:{(368,1),(371,1),(448,1),(452,1)}
       415:{3,4,6}:{(369,1),(370,1),(438,1),(453,1)}
       416:{2,4,5}:{(370,1),(371,1),(372,1),(452,1),(453,1)}
       417:{1,3,6,7}:{(373,1),(374,1),(392,1),(454,1)}
       418:{1,2,4,6,7}:{(374,1),(375,1),(379,1),(393,1),(454,1),(455,1),(456,1),(511,1),(518,1)}
       419:{1,3,5,6,7}:{(375,1),(376,1),(380,1),(394,1),(455,1),(456,1),(457,1),(472,1),(512,1)}
       420:{1,4,6,7}:{(376,1),(377,1),(381,1),(457,1),(458,1)}
       421:{1,4,5,7}:{(377,1),(378,1),(382,1),(396,1),(457,1),(458,1)}
       422:{3,6,7}:{(379,1),(397,1)}
       423:{2,4,6,7}:{(380,1),(383,1),(398,1),(456,1),(459,1),(460,1),(474,1)}
       424:{2,5,7}:{(381,1),(384,1),(457,1),(461,1)}
       425:{2,4,6}:{(382,1),(385,1),(400,1),(458,1),(461,1)}
       426:{1,4,5,7}:{(383,1),(384,1),(460,1),(462,1),(541,1)}
       427:{1,3,5,6}:{(384,1),(385,1),(461,1),(462,1),(514,1)}
       428:{1,3,4,7}:{(386,1),(387,1),(392,1),(407,1),(463,1),(464,1),(515,1),(519,1)}
       429:{1,2,4,7}:{(387,1),(388,1),(408,1),(463,1),(464,1)}
       430:{1,2,3,5,7}:{(388,1),(389,1),(394,1),(409,1),(464,1),(465,1),(466,1),(469,1),(517,1)}
       431:{1,2,4,6,7}:{(389,1),(390,1),(395,1),(410,1),(465,1),(466,1),(467,1),(511,1),(518,1)}
       432:{1,2,5,7}:{(390,1),(391,1),(396,1),(467,1)}
       433:{2,5,7}:{(392,1),(411,1),(454,1),(463,1)}
       434:{1,3,5,7}:{(393,1),(397,1),(412,1),(455,1),(464,1),(469,1),(470,1)}
       435:{1,4,7}:{(394,1),(398,1),(413,1)}
       436:{1,3,5,7}:{(395,1),(399,1),(414,1),(457,1),(466,1),(471,1),(472,1)}
       437:{1,3,6}:{(396,1),(400,1),(458,1),(467,1)}
       438:{3,4,7}:{(397,1),(398,1),(415,1)}
       439:{2,4,5,7}:{(398,1),(399,1),(401,1),(416,1),(471,1),(473,1),(474,1)}
       440:{2,3,5,6}:{(399,1),(400,1),(402,1),(461,1),(472,1),(474,1),(514,1),(542,1),(545,1)}
       441:{1,4,6}:{(401,1),(402,1),(474,1)}
       442:{1,3,4,5}:{(403,1),(404,1),(407,1),(475,1),(476,1),(522,1),(527,1)}
       443:{1,2,4,5}:{(404,1),(405,1),(408,1),(475,1),(476,1),(477,1)}
       444:{1,2,3,5}:{(405,1),(406,1),(476,1),(477,1)}
       445:{2,4,6}:{(407,1),(411,1),(463,1),(475,1),(479,1)}
       446:{1,3,6}:{(408,1),(464,1),(476,1),(479,1)}
       447:{1,2,4,6}:{(409,1),(413,1),(465,1),(477,1),(480,1),(481,1),(483,1)}
       448:{1,2,5}:{(410,1),(414,1)}
       449:{1,2,5,6}:{(411,1),(468,1),(478,1),(482,1),(548,1),(552,1)}
       450:{2,3,5,6}:{(411,1),(412,1),(469,1),(479,1),(482,1),(483,1),(526,1),(542,1),(545,1)}
       451:{1,3,4,6}:{(412,1),(413,1),(415,1),(470,1),(483,1),(484,1)}
       452:{1,4,5}:{(413,1),(414,1),(416,1)}
       453:{3,4,5}:{(415,1),(416,1)}
       454:{2,6,7}:{(417,1),(433,1)}
       455:{1,3,6,7}:{(418,1),(422,1),(434,1),(486,1),(534,1)}
       456:{1,4,6,7}:{(419,1),(423,1),(435,1),(488,1),(500,1)}
       457:{1,5,7}:{(420,1),(424,1),(489,1)}
       458:{1,4,6}:{(421,1),(425,1),(437,1),(489,1)}
       459:{3,4,6,7}:{(422,1),(423,1),(438,1),(490,1),(501,1)}
       460:{2,4,5,7}:{(423,1),(424,1),(426,1),(488,1),(490,1),(491,1),(529,1)}
       461:{2,5,6}:{(424,1),(425,1),(427,1),(489,1)}
       462:{1,4,5,6}:{(426,1),(427,1),(441,1),(491,1),(549,1)}
       463:{2,4,7}:{(428,1),(433,1),(445,1),(493,1)}
       464:{1,3,7}:{(429,1),(446,1),(493,1)}
       465:{1,2,4,7}:{(430,1),(435,1),(447,1),(494,1),(498,1)}
       466:{1,2,5,7}:{(431,1),(436,1),(448,1),(496,1),(529,1)}
       467:{1,2,6}:{(432,1),(437,1)}
       468:{1,2,5,7}:{(433,1),(449,1),(485,1),(492,1),(497,1)}
       469:{2,3,5,7}:{(433,1),(434,1),(450,1),(486,1),(493,1),(497,1),(498,1),(529,1)}
       470:{1,3,4,7}:{(434,1),(435,1),(438,1),(451,1),(498,1)}
       471:{1,4,5,7}:{(435,1),(436,1),(439,1),(452,1),(500,1)}
       472:{1,3,5,6}:{(436,1),(437,1),(440,1),(489,1),(496,1),(500,1),(534,1)}
       473:{3,4,5,7}:{(438,1),(439,1),(453,1),(490,1),(501,1)}
       474:{2,4,6}:{(439,1),(440,1),(441,1),(500,1),(501,1)}
       475:{2,4,5}:{(442,1),(445,1),(503,1)}
       476:{1,3,5}:{(443,1),(446,1),(503,1),(504,1)}
       477:{1,2,4}:{(444,1),(504,1)}
       478:{1,2,4,6}:{(445,1),(449,1),(492,1),(502,1),(505,1),(508,1)}
       479:{2,3,6}:{(445,1),(446,1),(493,1),(503,1),(505,1)}
       480:{1,3,4,6}:{(446,1),(447,1),(494,1),(504,1),(506,1),(507,1),(534,1)}
       481:{1,2,4,5}:{(447,1),(448,1),(452,1),(507,1),(509,1)}
       482:{1,3,5,6}:{(449,1),(450,1),(497,1),(505,1),(508,1),(540,1),(549,1),(551,1)}
       483:{2,4,6}:{(450,1),(451,1),(498,1),(508,1),(509,1)}
       484:{1,3,4,5}:{(451,1),(452,1),(453,1),(507,1),(509,1)}
       485:{1,2,6,7}:{(454,1),(468,1),(510,1),(552,1)}
       486:{2,3,6,7}:{(454,1),(455,1),(469,1),(510,1),(511,1),(545,1)}
       487:{1,3,4,6,7}:{(455,1),(456,1),(459,1),(470,1),(511,1),(512,1),(521,1)}
       488:{1,4,5,7}:{(456,1),(457,1),(460,1),(512,1),(513,1)}
       489:{1,5,6}:{(457,1),(458,1),(461,1)}
       490:{3,5,7}:{(459,1),(460,1),(514,1)}
       491:{2,4,5,6}:{(460,1),(461,1),(462,1),(474,1),(513,1),(514,1),(542,1)}
       492:{1,2,4,7}:{(463,1),(468,1),(478,1),(515,1),(519,1)}
       493:{2,3,7}:{(463,1),(464,1),(479,1),(515,1)}
       494:{1,3,4,7}:{(464,1),(465,1),(480,1),(516,1),(517,1)}
       495:{1,2,4,5,7}:{(465,1),(466,1),(471,1),(481,1),(517,1),(518,1),(520,1)}
       496:{1,2,5,6}:{(466,1),(467,1),(472,1),(518,1),(542,1)}
       497:{1,3,5,7}:{(468,1),(469,1),(482,1),(510,1),(515,1),(519,1),(541,1)}
       498:{2,4,7}:{(469,1),(470,1),(483,1),(519,1)}
       499:{1,3,4,5,7}:{(470,1),(471,1),(473,1),(484,1),(512,1),(517,1),(520,1),(521,1)}
       500:{1,4,6}:{(471,1),(472,1),(474,1)}
       501:{3,4,6}:{(473,1),(474,1),(514,1)}
       502:{1,2,4,5}:{(475,1),(478,1),(522,1),(527,1),(547,1),(548,1)}
       503:{2,3,5}:{(475,1),(476,1),(479,1),(522,1),(523,1)}
       504:{1,3,4}:{(476,1),(477,1),(523,1)}
       505:{1,3,6}:{(478,1),(479,1),(515,1),(522,1)}
       506:{2,3,4,6}:{(479,1),(480,1),(483,1),(516,1),(523,1),(525,1),(526,1),(545,1)}
       507:{1,3,5}:{(480,1),(481,1),(526,1)}
       508:{1,4,6}:{(482,1),(483,1),(519,1),(527,1)}
       509:{2,4,5}:{(483,1),(484,1),(526,1),(527,1)}
       510:{1,3,6,7}:{(485,1),(486,1),(497,1),(528,1),(551,1)}
       511:{2,4,6,7}:{(486,1),(487,1),(498,1),(528,1),(529,1),(536,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(490,1),(529,1),(530,1)}
       513:{1,4,5,6}:{(488,1),(489,1),(491,1),(500,1),(530,1)}
       514:{3,5,6}:{(490,1),(491,1),(501,1)}
       515:{1,3,7}:{(492,1),(493,1),(505,1)}
       516:{2,3,4,7}:{(493,1),(494,1),(498,1),(506,1),(532,1),(533,1)}
       517:{1,3,5,7}:{(494,1),(495,1),(507,1),(533,1),(534,1)}
       518:{1,2,4,6}:{(495,1),(496,1),(500,1),(534,1),(536,1)}
       519:{1,4,7}:{(497,1),(498,1),(508,1)}
       520:{2,4,5,7}:{(498,1),(499,1),(509,1),(529,1),(533,1),(535,1),(536,1)}
       521:{1,3,4,6}:{(499,1),(500,1),(501,1),(530,1),(534,1),(536,1)}
       522:{1,3,5}:{(502,1),(503,1),(505,1),(538,1)}
       523:{2,3,4}:{(503,1),(504,1),(538,1)}
       524:{1,2,3,6}:{(505,1),(531,1),(537,1),(539,1)}
       525:{1,3,4,6}:{(505,1),(506,1),(508,1),(532,1),(538,1),(539,1),(540,1),(551,1)}
       526:{2,3,5}:{(506,1),(507,1),(509,1),(540,1)}
       527:{1,4,5}:{(508,1),(509,1),(540,1)}
       528:{1,4,6,7}:{(510,1),(511,1),(519,1),(541,1),(546,1)}
       529:{2,5,7}:{(511,1),(512,1),(541,1),(542,1)}
       530:{1,3,5,6}:{(512,1),(513,1),(514,1),(521,1),(542,1)}
       531:{1,2,3,7}:{(515,1),(524,1),(543,1)}
       532:{1,3,4,7}:{(515,1),(516,1),(519,1),(525,1),(543,1),(544,1)}
       533:{2,3,5,7}:{(516,1),(517,1),(520,1),(526,1),(544,1),(545,1)}
       534:{1,3,6}:{(517,1),(518,1),(545,1)}
       535:{1,4,5,7}:{(519,1),(520,1),(527,1),(541,1),(544,1),(546,1)}
       536:{2,4,6}:{(520,1),(521,1),(542,1),(545,1),(546,1)}
       537:{1,2,3,5}:{(522,1),(524,1),(547,1),(548,1)}
       538:{1,3,4}:{(522,1),(523,1),(547,1)}
       539:{1,2,4,6}:{(524,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       540:{1,3,5}:{(525,1),(526,1),(527,1),(548,1)}
       541:{1,5,7}:{(528,1),(529,1),(549,1)}
       542:{2,5,6}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,7}:{(531,1),(532,1),(539,1),(550,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(535,1),(540,1),(550,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(536,1),(551,1)}
       546:{1,4,6}:{(535,1),(536,1),(549,1),(551,1)}
       547:{1,2,4}:{(537,1),(538,1)}
       548:{1,2,5}:{(539,1),(540,1)}
       549:{1,5,6}:{(541,1),(542,1),(546,1)}
       550:{1,2,5,7}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,3,6}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1346 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(18,1),(19,1),(96,1),(155,1),(215,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(18,1),(24,1),(51,1),(53,1),(60,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(34,1),(141,1),(242,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(124,1),(185,1),(192,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(31,1),(38,1),(78,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(39,1),(77,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(15,1),(16,1),(55,1),(60,1),(110,1),(155,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(111,1),(160,1)}
         8:{1,2,5,6}:{(3,1),(17,1),(19,1),(22,1),(105,1),(116,1),(176,1),(222,1),(225,1)}
         9:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(52,1),(54,1),(64,1),(105,1),(111,1),(115,1),(164,1),(215,1),(225,1),(227,1),(273,1)}
        10:{1,4,6,7}:{(4,1),(15,1),(21,1),(49,1),(57,1),(106,1)}
        11:{2,5,7}:{(4,1),(5,1),(21,1),(22,1),(105,1)}
        12:{1,3,5,6}:{(5,1),(22,1),(24,1),(60,1)}
        13:{1,4,5,7}:{(5,1),(18,1),(23,1),(24,1),(52,1),(111,1)}
        14:{1,3,5,6,7}:{(12,1),(26,1),(27,1),(67,1),(68,1),(246,1)}
        15:{1,3,6,7}:{(6,1),(10,1),(28,1),(29,1),(80,1),(83,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(11,1),(29,1),(30,1),(31,1),(39,1),(84,1),(128,1),(185,1),(242,1)}
        17:{1,3,5,6}:{(7,1),(8,1),(30,1),(32,1),(34,1),(77,1),(141,1),(191,1),(194,1),(252,1)}
        18:{1,4,7}:{(7,1),(31,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(38,1),(78,1),(89,1),(141,1),(145,1),(206,1)}
        20:{1,3,5,7}:{(9,1),(33,1),(34,1),(35,1),(39,1),(77,1),(196,1),(242,1),(252,1),(253,1)}
        21:{1,5,7}:{(10,1),(11,1),(36,1),(136,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,4,5,7}:{(11,1),(13,1),(31,1),(37,1),(38,1),(39,1),(74,1),(84,1)}
        24:{1,4,6}:{(12,1),(13,1),(38,1),(141,1)}
        25:{1,3,4,5,7}:{(13,1),(33,1),(39,1),(41,1),(42,1),(68,1),(77,1),(87,1),(121,1),(132,1),(149,1),(184,1),(197,1),(210,1),(242,1),(245,1),(253,1),(285,1)}
        26:{2,5,6,7}:{(14,1),(22,1),(43,1),(44,1),(95,1),(267,1)}
        27:{1,4,6,7}:{(14,1),(24,1),(44,1),(45,1),(152,1),(268,1)}
        28:{1,2,6,7}:{(15,1),(47,1),(108,1),(110,1),(152,1),(155,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(21,1),(47,1),(48,1),(49,1),(98,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(22,1),(48,1),(50,1),(55,1),(60,1),(102,1),(105,1),(110,1),(159,1),(162,1),(176,1),(228,1),(234,1)}
        31:{2,4,7}:{(16,1),(18,1),(49,1),(50,1),(51,1)}
        32:{1,4,6}:{(17,1),(18,1),(50,1),(52,1),(273,1)}
        33:{1,3,4,7}:{(18,1),(20,1),(51,1),(53,1),(54,1),(273,1),(274,1)}
        34:{1,3,6}:{(19,1),(20,1),(55,1),(60,1),(234,1)}
        35:{2,3,5,7}:{(20,1),(54,1),(55,1),(56,1),(105,1),(115,1),(168,1),(228,1)}
        36:{1,5,6}:{(21,1),(22,1),(57,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(49,1),(57,1),(58,1),(99,1)}
        38:{2,4,6}:{(22,1),(23,1),(24,1),(57,1),(60,1),(110,1)}
        39:{3,5,7}:{(23,1),(51,1),(60,1),(102,1)}
        40:{1,4,5,6}:{(24,1),(45,1),(52,1),(59,1),(62,1),(172,1),(175,1),(237,1),(268,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(60,1),(62,1),(63,1),(112,1),(114,1),(175,1),(234,1),(268,1),(299,1)}
        42:{2,4,5,7}:{(25,1),(54,1),(61,1),(63,1),(64,1),(95,1),(105,1),(115,1),(153,1),(165,1),(178,1),(215,1),(227,1),(236,1)}
        43:{1,5,6,7}:{(26,1),(36,1),(65,1),(124,1),(284,1)}
        44:{2,4,6,7}:{(26,1),(27,1),(38,1),(65,1),(66,1),(67,1),(120,1),(286,1)}
        45:{1,4,5,7}:{(27,1),(40,1),(66,1),(68,1),(182,1),(184,1)}
        46:{1,3,4,6,7}:{(27,1),(41,1),(67,1),(68,1),(69,1),(121,1),(123,1),(184,1),(242,1)}
        47:{1,2,5,7}:{(28,1),(29,1),(70,1),(71,1),(84,1),(182,1),(185,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(36,1),(70,1),(72,1),(80,1),(83,1),(127,1),(129,1),(136,1),(200,1)}
        49:{1,4,7}:{(29,1),(31,1),(72,1)}
        50:{2,4,6}:{(30,1),(31,1),(32,1),(72,1),(74,1),(75,1),(254,1)}
        51:{3,4,7}:{(31,1),(39,1),(75,1),(242,1)}
        52:{1,4,5}:{(32,1),(74,1),(77,1),(194,1)}
        53:{1,3,4,6}:{(32,1),(33,1),(34,1),(75,1),(77,1),(78,1)}
        54:{2,4,7}:{(33,1),(35,1),(78,1),(79,1),(254,1)}
        55:{2,3,6}:{(34,1),(35,1),(78,1),(80,1),(145,1)}
        56:{1,3,5,7}:{(35,1),(79,1),(80,1),(81,1),(136,1),(138,1),(200,1)}
        57:{1,4,6}:{(36,1),(37,1),(38,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(39,1),(73,1),(83,1),(84,1),(129,1)}
        59:{2,4,5,6}:{(38,1),(40,1),(66,1),(74,1),(82,1),(85,1),(88,1),(140,1),(143,1),(206,1),(260,1),(286,1)}
        60:{3,6}:{(38,1),(39,1)}
        61:{2,3,5,7}:{(39,1),(42,1),(76,1),(84,1),(86,1),(87,1),(133,1),(242,1),(253,1),(285,1),(307,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(68,1),(77,1),(85,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(86,1),(88,1),(89,1),(145,1)}
        64:{1,4,5,7}:{(42,1),(79,1),(87,1),(89,1),(124,1),(136,1),(184,1),(197,1),(205,1),(258,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(57,1),(91,1),(92,1),(298,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(59,1),(91,1),(93,1),(95,1),(151,1),(153,1),(215,1)}
        67:{3,6,7}:{(44,1),(60,1),(93,1),(299,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(62,1),(93,1),(95,1)}
        69:{2,4,6,7}:{(46,1),(63,1),(94,1),(95,1),(96,1),(153,1),(155,1),(215,1)}
        70:{1,2,5,6}:{(47,1),(48,1),(97,1),(108,1),(110,1),(162,1),(169,1),(172,1),(176,1)}
        71:{1,2,4,7}:{(47,1),(49,1),(97,1),(98,1),(101,1),(212,1),(215,1),(261,1)}
        72:{1,4,6}:{(48,1),(49,1),(50,1),(99,1),(229,1)}
        73:{1,3,4,7}:{(49,1),(51,1),(58,1),(98,1),(100,1),(101,1)}
        74:{2,4,5}:{(50,1),(52,1),(99,1),(102,1),(105,1),(162,1)}
        75:{3,4,6}:{(50,1),(51,1),(60,1),(102,1),(234,1),(274,1)}
        76:{2,3,4,7}:{(51,1),(54,1),(61,1),(101,1),(103,1),(104,1),(153,1),(168,1),(178,1),(211,1),(265,1),(274,1),(296,1)}
        77:{1,3,5}:{(52,1),(53,1),(102,1),(105,1)}
        78:{2,4,6}:{(53,1),(54,1),(55,1),(105,1),(106,1)}
        79:{1,4,7}:{(54,1),(56,1),(106,1),(229,1)}
        80:{1,3,6}:{(55,1),(56,1),(106,1),(108,1)}
        81:{1,2,5,7}:{(56,1),(107,1),(108,1),(115,1),(169,1),(312,1)}
        82:{1,4,5,6}:{(57,1),(59,1),(91,1),(99,1),(109,1),(116,1),(175,1),(278,1),(298,1)}
        83:{1,3,6}:{(57,1),(58,1),(60,1),(110,1)}
        84:{2,5,7}:{(58,1),(101,1),(110,1),(111,1),(162,1)}
        85:{3,5,6}:{(59,1),(60,1),(93,1),(102,1),(112,1),(234,1),(279,1),(299,1)}
        86:{2,3,6}:{(60,1),(61,1),(63,1),(110,1),(114,1),(234,1),(299,1),(313,1)}
        87:{1,3,5,7}:{(61,1),(64,1),(104,1),(111,1),(114,1),(115,1),(166,1),(312,1)}
        88:{2,5,6}:{(62,1),(63,1),(95,1),(105,1),(116,1),(236,1)}
        89:{1,4,6}:{(63,1),(64,1),(114,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(107,1),(115,1),(117,1),(118,1),(156,1),(169,1),(178,1),(215,1),(218,1),(227,1),(229,1),(236,1),(237,1),(266,1),(312,1)}
        91:{1,4,5,7}:{(65,1),(66,1),(82,1),(119,1),(124,1),(184,1)}
        92:{1,3,6,7}:{(65,1),(67,1),(83,1),(119,1),(120,1),(308,1)}
        93:{3,5,7}:{(66,1),(67,1),(85,1),(121,1),(242,1)}
        94:{2,3,6,7}:{(67,1),(69,1),(86,1),(120,1),(122,1),(123,1),(242,1)}
        95:{2,5,7}:{(68,1),(69,1),(88,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(89,1),(123,1),(124,1),(184,1)}
        97:{1,2,4,6}:{(70,1),(71,1),(72,1),(126,1),(127,1),(130,1),(202,1),(206,1),(255,1)}
        98:{1,3,7}:{(71,1),(127,1),(128,1),(242,1)}
        99:{1,4,5}:{(72,1),(74,1),(129,1),(136,1)}
       100:{1,3,4,6}:{(72,1),(73,1),(75,1),(83,1),(127,1),(129,1),(130,1),(189,1)}
       101:{2,4,7}:{(73,1),(84,1),(128,1),(130,1),(131,1)}
       102:{3,5}:{(74,1),(75,1)}
       103:{2,3,4,6}:{(75,1),(76,1),(78,1),(86,1),(130,1),(133,1),(134,1),(143,1),(199,1),(201,1),(208,1),(247,1),(254,1),(259,1),(293,1)}
       104:{1,3,4,7}:{(76,1),(79,1),(87,1),(131,1),(134,1),(135,1),(138,1),(184,1),(196,1),(205,1),(238,1),(242,1),(306,1)}
       105:{2,5}:{(77,1),(78,1),(136,1)}
       106:{1,4,6}:{(78,1),(79,1),(80,1),(136,1)}
       107:{1,2,4,7}:{(79,1),(81,1),(135,1),(137,1),(138,1),(280,1),(306,1)}
       108:{1,2,6}:{(80,1),(81,1),(145,1),(314,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(85,1),(119,1),(129,1),(139,1),(140,1),(294,1),(308,1)}
       110:{2,6}:{(83,1),(84,1),(141,1)}
       111:{1,5,7}:{(84,1),(131,1),(141,1),(194,1)}
       112:{3,4,6}:{(85,1),(121,1),(132,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(122,1),(133,1),(140,1),(143,1),(144,1),(201,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(141,1),(145,1),(314,1)}
       115:{2,5,7}:{(87,1),(135,1),(145,1),(198,1)}
       116:{1,5,6}:{(88,1),(89,1),(124,1),(136,1),(258,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(206,1),(208,1),(209,1),(286,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(138,1),(146,1),(148,1),(149,1),(200,1),(210,1),(242,1),(253,1),(285,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(109,1),(150,1),(151,1)}
       120:{2,6,7}:{(92,1),(110,1),(151,1),(152,1),(313,1)}
       121:{3,4,7}:{(93,1),(112,1),(153,1)}
       122:{2,3,5,7}:{(93,1),(94,1),(95,1),(113,1),(151,1),(153,1),(154,1),(211,1)}
       123:{1,3,6,7}:{(94,1),(96,1),(114,1),(152,1),(154,1),(155,1)}
       124:{1,5,7}:{(95,1),(96,1),(116,1)}
       125:{1,2,4,6,7}:{(96,1),(117,1),(155,1),(156,1),(157,1),(215,1),(217,1),(218,1)}
       126:{1,2,4,5}:{(97,1),(99,1),(158,1),(162,1),(169,1),(220,1),(224,1),(227,1),(229,1),(271,1),(300,1)}
       127:{1,3,6}:{(97,1),(98,1),(158,1),(159,1),(234,1)}
       128:{2,3,7}:{(98,1),(101,1),(159,1),(160,1),(261,1)}
       129:{1,3,5}:{(99,1),(100,1),(102,1),(162,1)}
       130:{2,4,6}:{(100,1),(101,1),(110,1),(159,1),(162,1),(163,1),(220,1)}
       131:{1,4,7}:{(101,1),(111,1),(160,1),(163,1)}
       132:{3,4,5}:{(102,1),(112,1),(165,1),(274,1),(279,1)}
       133:{2,3,5}:{(102,1),(103,1),(105,1),(162,1),(165,1),(166,1),(236,1),(279,1),(305,1)}
       134:{1,3,4,6}:{(103,1),(104,1),(106,1),(114,1),(163,1),(166,1),(167,1),(170,1),(175,1),(226,1),(229,1),(230,1),(233,1),(234,1),(269,1),(273,1),(274,1),(304,1)}
       135:{2,4,7}:{(104,1),(115,1),(167,1),(168,1),(261,1)}
       136:{1,5}:{(105,1),(106,1)}
       137:{1,2,4,6}:{(106,1),(107,1),(108,1),(167,1),(169,1),(170,1),(229,1),(275,1),(300,1),(304,1)}
       138:{1,3,7}:{(107,1),(168,1),(170,1)}
       139:{1,3,4,6}:{(109,1),(112,1),(150,1),(161,1),(171,1),(175,1),(230,1),(234,1)}
       140:{2,5,6}:{(109,1),(110,1),(151,1),(162,1),(171,1),(172,1),(305,1),(313,1)}
       141:{1,6}:{(110,1),(111,1)}
       142:{1,2,5,7}:{(111,1),(115,1),(164,1),(173,1),(174,1),(225,1)}
       143:{2,4,6}:{(112,1),(113,1),(153,1),(165,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(154,1),(166,1),(172,1),(175,1),(176,1),(230,1),(234,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,3,5,7}:{(115,1),(118,1),(168,1),(174,1),(177,1),(178,1),(228,1),(236,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(156,1),(169,1),(176,1),(179,1),(236,1),(267,1),(275,1)}
       148:{1,3,6}:{(117,1),(118,1),(177,1),(234,1),(299,1)}
       149:{1,3,4,7}:{(118,1),(178,1),(180,1),(218,1),(229,1),(265,1),(274,1)}
       150:{1,3,4,7}:{(119,1),(121,1),(139,1),(181,1),(184,1),(238,1),(242,1)}
       151:{2,5,7}:{(119,1),(120,1),(140,1),(181,1),(182,1)}
       152:{1,6,7}:{(120,1),(141,1),(182,1),(314,1)}
       153:{2,4,7}:{(121,1),(122,1),(143,1),(184,1)}
       154:{1,3,5,7}:{(122,1),(123,1),(124,1),(144,1),(182,1),(184,1),(185,1),(238,1),(242,1)}
       155:{2,6,7}:{(123,1),(145,1),(185,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(147,1),(185,1),(187,1),(244,1),(280,1)}
       157:{1,3,6,7}:{(125,1),(148,1),(186,1),(187,1),(242,1),(314,1)}
       158:{1,3,5}:{(126,1),(127,1),(189,1),(190,1),(253,1),(309,1)}
       159:{2,3,6}:{(127,1),(128,1),(130,1),(190,1),(191,1),(255,1)}
       160:{1,3,7}:{(128,1),(131,1),(191,1),(192,1)}
       161:{1,3,4,5}:{(129,1),(132,1),(139,1),(189,1),(193,1),(197,1),(250,1),(253,1),(291,1),(294,1)}
       162:{2,5}:{(129,1),(130,1),(194,1)}
       163:{1,4,6}:{(130,1),(131,1),(141,1),(191,1),(194,1),(248,1)}
       164:{1,2,4,7}:{(131,1),(135,1),(142,1),(192,1),(195,1),(196,1),(205,1)}
       165:{2,4,5}:{(132,1),(133,1),(143,1),(197,1),(254,1)}
       166:{1,3,5}:{(133,1),(134,1),(136,1),(194,1),(197,1),(198,1),(253,1),(258,1),(311,1)}
       167:{2,4,6}:{(134,1),(135,1),(145,1),(198,1),(199,1),(254,1),(255,1),(287,1)}
       168:{2,3,7}:{(135,1),(138,1),(196,1),(199,1),(242,1)}
       169:{1,2,5}:{(136,1),(137,1),(198,1),(200,1),(311,1)}
       170:{1,3,6}:{(137,1),(138,1),(199,1),(200,1),(309,1)}
       171:{2,4,6}:{(139,1),(140,1),(181,1),(193,1),(201,1),(202,1),(255,1)}
       172:{1,5,6}:{(140,1),(141,1),(182,1),(194,1),(202,1),(311,1),(314,1)}
       173:{1,2,6}:{(141,1),(142,1),(145,1),(204,1)}
       174:{1,3,5,7}:{(142,1),(146,1),(196,1),(204,1),(205,1),(252,1),(258,1)}
       175:{1,4,6}:{(143,1),(144,1),(184,1),(197,1),(206,1)}
       176:{2,5,6}:{(144,1),(145,1),(185,1),(198,1),(206,1),(255,1)}
       177:{2,3,6}:{(145,1),(146,1),(148,1),(204,1),(208,1)}
       178:{2,4,7}:{(146,1),(149,1),(205,1),(208,1),(254,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(187,1),(200,1),(207,1),(209,1),(210,1),(292,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(208,1),(209,1),(210,1),(259,1)}
       181:{2,4,7}:{(150,1),(151,1),(171,1),(211,1),(212,1),(261,1)}
       182:{1,5,7}:{(151,1),(152,1),(172,1),(212,1)}
       183:{1,2,6,7}:{(152,1),(155,1),(173,1),(213,1),(214,1),(313,1)}
       184:{1,4,7}:{(153,1),(154,1),(175,1),(215,1)}
       185:{2,5,7}:{(154,1),(155,1),(176,1),(215,1),(261,1)}
       186:{2,3,6,7}:{(155,1),(157,1),(177,1),(214,1),(216,1),(217,1),(299,1),(313,1)}
       187:{1,3,5,7}:{(156,1),(157,1),(179,1),(216,1),(218,1),(295,1),(312,1)}
       188:{1,3,4,6,7}:{(157,1),(180,1),(217,1),(218,1),(219,1),(265,1),(268,1),(299,1)}
       189:{1,3,4}:{(158,1),(220,1),(229,1),(274,1)}
       190:{2,3,5}:{(158,1),(159,1),(162,1),(220,1),(221,1),(271,1),(301,1)}
       191:{1,3,6}:{(159,1),(160,1),(163,1),(221,1),(222,1)}
       192:{1,2,7}:{(160,1),(222,1),(261,1)}
       193:{2,4,5}:{(161,1),(162,1),(171,1),(220,1),(223,1),(224,1),(271,1),(303,1),(305,1)}
       194:{1,5}:{(162,1),(163,1)}
       195:{1,2,4,6}:{(163,1),(164,1),(167,1),(173,1),(222,1),(225,1),(226,1),(233,1),(270,1),(273,1)}
       196:{1,3,7}:{(164,1),(168,1),(226,1)}
       197:{1,4,5}:{(165,1),(166,1),(175,1),(227,1),(229,1),(273,1)}
       198:{2,5}:{(166,1),(167,1)}
       199:{2,3,6}:{(167,1),(168,1),(170,1),(226,1),(228,1),(234,1),(301,1)}
       200:{1,3,5}:{(169,1),(170,1),(228,1),(229,1)}
       201:{2,3,6}:{(171,1),(211,1),(223,1),(230,1),(234,1)}
       202:{1,4,6}:{(171,1),(172,1),(212,1),(224,1),(230,1)}
       203:{1,2,5,6}:{(172,1),(173,1),(176,1),(213,1),(225,1),(231,1),(232,1),(305,1),(313,1)}
       204:{1,3,6}:{(173,1),(174,1),(177,1),(233,1)}
       205:{1,4,7}:{(174,1),(178,1),(233,1),(273,1)}
       206:{2,4,6}:{(175,1),(176,1),(215,1),(227,1),(234,1)}
       207:{2,3,5,6}:{(176,1),(177,1),(179,1),(216,1),(228,1),(232,1),(234,1),(235,1),(236,1),(267,1),(276,1),(279,1),(299,1),(305,1),(313,1)}
       208:{2,4,6}:{(177,1),(178,1),(180,1),(233,1),(236,1)}
       209:{1,4,6}:{(179,1),(218,1),(229,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(236,1),(237,1),(279,1)}
       211:{2,3,7}:{(181,1),(201,1),(238,1),(242,1)}
       212:{1,4,7}:{(181,1),(182,1),(202,1),(238,1)}
       213:{1,2,5,7}:{(182,1),(183,1),(185,1),(203,1),(239,1),(240,1),(307,1)}
       214:{1,3,6,7}:{(183,1),(186,1),(204,1),(240,1),(241,1),(308,1)}
       215:{2,4,7}:{(184,1),(185,1),(206,1),(242,1)}
       216:{2,3,5,7}:{(185,1),(186,1),(187,1),(207,1),(240,1),(242,1),(243,1),(244,1),(281,1),(285,1),(307,1)}
       217:{2,4,6,7}:{(186,1),(188,1),(208,1),(241,1),(243,1),(244,1),(286,1)}
       218:{1,4,7}:{(187,1),(209,1),(243,1)}
       219:{1,3,5,7}:{(188,1),(210,1),(244,1),(245,1),(246,1),(285,1)}
       220:{2,4}:{(189,1),(190,1),(248,1)}
       221:{1,3,5}:{(190,1),(191,1),(194,1),(248,1),(249,1),(288,1)}
       222:{1,2,6}:{(191,1),(192,1),(249,1),(255,1)}
       223:{2,3,5}:{(193,1),(201,1),(247,1),(250,1),(253,1)}
       224:{1,4,5}:{(193,1),(194,1),(202,1),(248,1),(250,1),(310,1),(311,1)}
       225:{1,2,5}:{(194,1),(195,1),(198,1),(252,1),(258,1)}
       226:{1,3,6}:{(195,1),(196,1),(199,1),(252,1),(288,1)}
       227:{2,4,5}:{(197,1),(198,1),(206,1),(253,1),(254,1)}
       228:{2,3,5}:{(198,1),(199,1),(200,1),(252,1),(253,1),(254,1)}
       229:{1,4}:{(200,1),(254,1)}
       230:{1,3,6}:{(201,1),(202,1),(238,1),(250,1),(255,1)}
       231:{1,2,4,6}:{(202,1),(203,1),(206,1),(239,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,3,5,6}:{(203,1),(204,1),(207,1),(240,1),(252,1),(256,1),(257,1),(258,1),(284,1),(294,1),(308,1)}
       233:{1,4,6}:{(204,1),(205,1),(208,1),(258,1)}
       234:{3,6}:{(206,1),(242,1),(253,1)}
       235:{2,4,6}:{(207,1),(209,1),(243,1),(254,1),(257,1),(259,1),(260,1)}
       236:{2,5}:{(208,1),(210,1),(258,1)}
       237:{1,4,5}:{(209,1),(210,1),(260,1),(311,1)}
       238:{1,3,7}:{(211,1),(212,1),(230,1),(261,1)}
       239:{1,2,4,7}:{(212,1),(213,1),(215,1),(231,1),(261,1),(262,1),(263,1),(296,1)}
       240:{1,3,5,7}:{(213,1),(214,1),(216,1),(232,1),(262,1),(263,1),(264,1)}
       241:{1,4,6,7}:{(214,1),(217,1),(233,1),(263,1),(264,1),(298,1)}
       242:{3,7}:{(215,1),(234,1)}
       243:{2,4,7}:{(216,1),(218,1),(235,1),(263,1),(265,1)}
       244:{2,5,7}:{(217,1),(219,1),(236,1),(264,1),(267,1)}
       245:{1,4,5,7}:{(218,1),(219,1),(237,1),(266,1),(268,1),(312,1)}
       246:{1,3,5,6}:{(219,1),(267,1),(268,1),(299,1)}
       247:{2,3,4}:{(220,1),(223,1),(269,1),(274,1),(301,1),(303,1)}
       248:{1,4}:{(220,1),(221,1)}
       249:{1,2,5}:{(221,1),(222,1),(270,1),(271,1)}
       250:{1,3,5}:{(223,1),(224,1),(230,1),(269,1),(271,1)}
       251:{1,2,4,5}:{(224,1),(225,1),(227,1),(231,1),(270,1),(271,1),(272,1),(273,1),(278,1),(303,1),(305,1)}
       252:{1,3,5}:{(225,1),(226,1),(228,1),(273,1)}
       253:{3,5}:{(227,1),(234,1),(274,1)}
       254:{2,4}:{(228,1),(229,1),(273,1),(274,1)}
       255:{2,6}:{(230,1),(261,1),(271,1)}
       256:{1,3,6}:{(231,1),(234,1),(262,1),(272,1),(276,1)}
       257:{1,4,6}:{(232,1),(235,1),(263,1),(273,1),(278,1)}
       258:{1,5}:{(233,1),(236,1)}
       259:{3,4,6}:{(234,1),(235,1),(265,1),(274,1),(279,1),(299,1)}
       260:{2,4,5}:{(235,1),(236,1),(237,1),(278,1),(279,1),(305,1)}
       261:{2,7}:{(238,1),(255,1)}
       262:{1,3,7}:{(239,1),(242,1),(256,1),(281,1)}
       263:{1,4,7}:{(240,1),(243,1),(257,1)}
       264:{1,5,7}:{(241,1),(244,1),(258,1),(284,1)}
       265:{3,4,7}:{(242,1),(243,1),(259,1),(285,1)}
       266:{2,4,5,7}:{(243,1),(244,1),(245,1),(260,1),(283,1),(285,1),(286,1),(307,1)}
       267:{2,5,6}:{(244,1),(246,1),(284,1),(286,1)}
       268:{1,4,6}:{(245,1),(246,1),(286,1),(314,1)}
       269:{1,3,4}:{(247,1),(248,1),(250,1),(287,1),(288,1),(309,1),(310,1)}
       270:{1,2,4}:{(248,1),(249,1),(287,1),(288,1)}
       271:{2,5}:{(250,1),(255,1),(287,1)}
       272:{1,3,5}:{(251,1),(253,1),(256,1),(288,1),(290,1),(291,1)}
       273:{1,4}:{(252,1),(254,1)}
       274:{3,4}:{(253,1),(254,1)}
       275:{1,2,6}:{(255,1),(280,1),(289,1),(292,1)}
       276:{2,3,6}:{(255,1),(256,1),(281,1),(290,1),(292,1),(293,1)}
       277:{1,3,4,6}:{(256,1),(257,1),(259,1),(282,1),(291,1),(293,1),(294,1),(308,1)}
       278:{1,4,5}:{(257,1),(258,1),(260,1),(294,1)}
       279:{3,5}:{(259,1),(260,1)}
       280:{1,2,7}:{(261,1),(275,1),(295,1)}
       281:{2,3,7}:{(261,1),(262,1),(276,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(277,1),(296,1),(297,1)}
       283:{1,4,5,7}:{(263,1),(264,1),(266,1),(278,1),(297,1),(298,1)}
       284:{1,5,6}:{(264,1),(267,1),(298,1)}
       285:{3,5,7}:{(265,1),(266,1),(279,1),(299,1)}
       286:{2,4,6}:{(266,1),(267,1),(268,1),(298,1),(299,1),(313,1)}
       287:{2,4}:{(269,1),(271,1),(301,1)}
       288:{1,3}:{(270,1),(301,1)}
       289:{1,2,5}:{(271,1),(275,1),(300,1),(302,1)}
       290:{2,3,5}:{(271,1),(272,1),(276,1),(301,1),(302,1),(303,1),(305,1)}
       291:{1,3,4}:{(272,1),(273,1),(274,1),(303,1)}
       292:{1,3,6}:{(275,1),(276,1),(295,1),(302,1),(304,1)}
       293:{2,4,6}:{(276,1),(277,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       294:{1,3,5}:{(277,1),(278,1),(279,1),(305,1)}
       295:{1,3,7}:{(280,1),(281,1),(292,1),(306,1)}
       296:{2,4,7}:{(281,1),(282,1),(293,1),(306,1),(307,1)}
       297:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(307,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(286,1),(308,1)}
       299:{3,6}:{(285,1),(286,1)}
       300:{1,2,4}:{(287,1),(289,1),(309,1),(310,1)}
       301:{2,3}:{(287,1),(288,1),(309,1)}
       302:{1,3,5}:{(289,1),(290,1),(292,1),(309,1),(310,1),(311,1)}
       303:{2,4}:{(290,1),(291,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(306,1),(310,1),(311,1),(314,1)}
       305:{2,5}:{(293,1),(294,1),(311,1)}
       306:{1,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(305,1),(312,1),(313,1)}
       308:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       309:{1,3}:{(300,1),(301,1)}
       310:{1,4}:{(302,1),(303,1)}
       311:{1,5}:{(304,1),(305,1)}
       312:{1,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1347 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(39,1),(44,1),(79,1),(85,1),(86,1),(88,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(23,1),(28,1),(33,1),(60,1),(64,1),(66,1),(72,1),(100,1),(102,1),(108,1),(111,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(58,1),(99,1),(106,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(123,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(121,1),(122,1),(134,1),(154,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(125,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(121,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(6,1),(21,1),(22,1),(58,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(4,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(23,1),(25,1),(66,1),(74,1),(104,1),(139,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(140,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(60,1),(71,1),(101,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(58,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(143,1),(149,1),(163,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(142,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(14,1),(36,1),(37,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(16,1),(37,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(12,1),(40,1),(82,1),(95,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1),(121,1),(134,1),(153,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(40,1),(43,1),(44,1),(46,1),(153,1),(169,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(78,1),(81,1),(89,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(38,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(125,1),(154,1),(170,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,5,6,7}:{(21,1),(26,1),(55,1),(99,1),(139,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(55,1),(56,1)}
        38:{2,4,5,7}:{(22,1),(30,1),(56,1),(58,1),(99,1),(162,1)}
        39:{3,4,6,7}:{(22,1),(31,1),(58,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(60,1)}
        41:{1,2,5,6}:{(24,1),(26,1),(59,1),(61,1),(113,1),(117,1),(140,1),(149,1),(150,1)}
        42:{1,2,4,5,7}:{(24,1),(27,1),(60,1),(61,1),(62,1),(70,1),(101,1),(103,1),(112,1),(116,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(59,1),(63,1),(66,1),(74,1),(104,1),(106,1),(114,1),(140,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(60,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(56,1),(65,1),(68,1),(71,1),(101,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(103,1),(112,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(58,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{2,4,6,7}:{(36,1),(37,1),(45,1),(76,1),(77,1)}
        56:{1,4,5,7}:{(37,1),(38,1),(47,1),(76,1),(78,1),(121,1),(152,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(48,1),(77,1),(78,1),(79,1),(118,1),(120,1),(152,1),(169,1)}
        58:{3,5,7}:{(38,1),(39,1),(50,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(43,1),(80,1),(82,1),(95,1),(122,1),(134,1),(161,1)}
        60:{1,4,7}:{(40,1),(44,1),(80,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(45,1),(80,1),(82,1),(91,1),(123,1),(133,1),(160,1)}
        62:{1,3,5,7}:{(42,1),(46,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(80,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(169,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(76,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(169,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(78,1),(87,1),(90,1),(92,1),(122,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(121,1),(124,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(56,1),(65,1),(97,1),(99,1),(137,1)}
        77:{3,6,7}:{(55,1),(66,1),(97,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(58,1),(68,1),(97,1),(99,1)}
        79:{2,4,6,7}:{(57,1),(69,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(60,1),(63,1),(101,1),(168,1)}
        81:{1,3,4,7}:{(60,1),(62,1),(64,1),(102,1),(103,1),(168,1),(174,1)}
        82:{1,3,6}:{(61,1),(62,1),(66,1),(104,1),(167,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(112,1),(140,1),(147,1),(166,1)}
        84:{2,4,5}:{(63,1),(71,1),(101,1),(106,1),(114,1),(140,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(103,1),(107,1),(108,1),(137,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(97,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(99,1),(113,1),(114,1),(140,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(77,1),(87,1),(118,1)}
        98:{2,3,6,7}:{(77,1),(79,1),(88,1),(119,1),(120,1),(169,1)}
        99:{2,5,7}:{(78,1),(79,1),(90,1),(121,1)}
       100:{1,4,6,7}:{(79,1),(91,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(84,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(85,1),(122,1),(123,1)}
       103:{2,4,7}:{(81,1),(83,1),(123,1),(124,1),(172,1)}
       104:{2,3,6}:{(82,1),(83,1),(123,1),(125,1),(133,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(123,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(124,1),(129,1),(130,1),(136,1),(152,1),(156,1),(169,1)}
       109:{3,4,6}:{(87,1),(118,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(119,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(121,1),(134,1),(154,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{3,4,7}:{(97,1),(109,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(110,1),(137,1),(138,1)}
       120:{1,3,6,7}:{(98,1),(100,1),(111,1),(138,1),(139,1)}
       121:{1,5,7}:{(99,1),(100,1),(113,1)}
       122:{1,3,5}:{(101,1),(102,1),(106,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,4,7}:{(103,1),(105,1),(141,1),(173,1)}
       125:{1,3,6}:{(104,1),(105,1),(141,1),(143,1)}
       126:{1,2,5,7}:{(105,1),(112,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(140,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(141,1),(145,1),(146,1),(148,1),(151,1),(164,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(137,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(131,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(132,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(120,1),(133,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,4,7}:{(124,1),(126,1),(130,1),(155,1),(156,1)}
       143:{1,2,6}:{(125,1),(126,1),(133,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(154,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(156,1),(159,1),(169,1)}
       148:{1,4,6}:{(131,1),(132,1),(152,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(153,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(148,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(149,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(146,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(142,1),(147,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(164,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(162,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(160,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(158,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(159,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(170,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(169,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(167,1)}
       170:{1,3,5}:{(163,1),(164,1),(166,1),(173,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1348 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(194,1),(204,1),(205,1),(308,1),(314,1),(404,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(255,1),(365,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(242,1),(258,1),(362,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(404,1),(410,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(205,1),(207,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(408,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(294,1),(308,1),(311,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(83,1),(98,1),(99,1),(151,1),(159,1),(262,1),(271,1),(365,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(162,1),(166,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(258,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(358,1),(387,1),(388,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(410,1),(418,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(205,1),(323,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(117,1),(131,1),(132,1),(196,1),(206,1),(312,1),(319,1),(408,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(128,1),(133,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(211,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(311,1),(313,1),(336,1),(339,1),(340,1),(408,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(131,1),(404,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(365,1),(373,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(151,1),(162,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(258,1),(370,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(156,1),(245,1),(349,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(172,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(186,1),(265,1),(269,1),(285,1),(288,1),(290,1),(369,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(364,1),(380,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(68,1),(114,1),(199,1),(218,1),(219,1),(323,1),(398,1)}
        38:{2,3,4,5}:{(24,1),(59,1),(60,1),(124,1),(295,1),(418,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(408,1),(415,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(131,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(147,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(128,1),(136,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(131,1),(196,1),(211,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(396,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(131,1),(202,1),(298,1),(312,1),(427,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(333,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(128,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(130,1),(146,1),(222,1),(226,1),(236,1),(238,1),(327,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(131,1),(225,1),(321,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(408,1),(410,1)}
        57:{2,4,5,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(98,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(40,1),(84,1),(85,1),(94,1),(152,1),(249,1),(267,1),(268,1),(352,1),(370,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(82,1),(86,1),(87,1),(162,1),(243,1),(373,1)}
        60:{1,3,4,5}:{(38,1),(41,1),(86,1),(88,1),(95,1),(160,1),(342,1)}
        61:{2,3,4,5,7}:{(38,1),(42,1),(87,1),(89,1),(90,1),(113,1),(165,1),(167,1),(193,1),(346,1),(369,1),(372,1),(454,1),(455,1),(457,1),(506,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(186,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(88,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(174,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(180,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(151,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(172,1),(174,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(245,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(362,1),(380,1),(384,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(180,1),(281,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(172,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(285,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(174,1),(278,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(369,1),(372,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(323,1)}
        83:{1,4,5,6}:{(57,1),(62,1),(114,1),(117,1),(136,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(63,1),(115,1),(117,1),(118,1),(131,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(62,1),(114,1),(121,1),(122,1),(128,1),(205,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(63,1),(115,1),(122,1),(211,1),(296,1),(415,1)}
        88:{2,4,5}:{(60,1),(121,1),(124,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(66,1),(122,1),(125,1),(126,1),(134,1),(208,1),(213,1),(240,1),(327,1),(330,1),(389,1),(408,1),(410,1),(415,1),(418,1),(486,1),(488,1),(527,1)}
        90:{2,3,4,6}:{(61,1),(67,1),(126,1),(127,1),(147,1),(216,1),(237,1),(322,1),(393,1),(485,1),(526,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(121,1),(128,1),(129,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(130,1),(131,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(131,1),(132,1),(225,1)}
        95:{1,3,5}:{(65,1),(124,1),(128,1),(133,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(125,1),(129,1),(134,1),(135,1),(143,1),(223,1),(234,1),(327,1),(330,1),(527,1),(528,1),(529,1),(547,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(136,1)}
        98:{2,5,6}:{(67,1),(68,1),(131,1),(136,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(132,1),(137,1),(333,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(144,1),(195,1),(220,1),(227,1),(234,1),(325,1),(334,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(129,1),(140,1),(196,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(130,1),(140,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(131,1),(141,1),(142,1),(225,1),(298,1),(318,1),(329,1),(335,1),(396,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(132,1),(142,1),(408,1)}
       105:{1,2,4}:{(73,1),(133,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(134,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(136,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(222,1),(236,1),(335,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(329,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(327,1),(330,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(225,1),(415,1),(418,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(370,1)}
       116:{1,2,4,5,6}:{(83,1),(91,1),(151,1),(154,1),(155,1),(178,1),(181,1),(243,1),(271,1),(279,1),(282,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(92,1),(152,1),(156,1),(174,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(94,1),(157,1),(158,1),(253,1),(352,1)}
       120:{1,2,4,5}:{(88,1),(159,1),(160,1),(255,1),(342,1),(355,1)}
       121:{2,4,6}:{(86,1),(88,1),(151,1),(162,1),(163,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(92,1),(152,1),(163,1),(172,1),(258,1),(343,1)}
       123:{2,3,4,6,7}:{(87,1),(90,1),(93,1),(153,1),(164,1),(165,1),(186,1),(247,1),(265,1),(285,1),(347,1),(369,1),(437,1),(438,1),(455,1),(496,1)}
       124:{2,3,5}:{(88,1),(95,1),(160,1),(162,1),(166,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(163,1),(167,1),(168,1),(266,1),(369,1),(372,1),(511,1),(512,1)}
       126:{1,3,4,6}:{(89,1),(90,1),(97,1),(168,1),(169,1),(177,1),(261,1),(279,1),(289,1),(365,1),(373,1),(431,1),(541,1)}
       127:{2,3,5,6}:{(90,1),(98,1),(165,1),(169,1),(170,1),(180,1),(281,1),(435,1),(498,1),(534,1)}
       128:{1,3,6}:{(91,1),(95,1),(162,1),(172,1)}
       129:{1,2,4,7}:{(91,1),(92,1),(101,1),(163,1),(172,1)}
       130:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(174,1)}
       131:{2,5,7}:{(93,1),(94,1),(98,1),(174,1)}
       132:{1,4,5,7}:{(94,1),(99,1),(104,1),(175,1),(380,1)}
       133:{1,3,4}:{(95,1),(105,1),(166,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(167,1),(172,1),(176,1),(177,1),(278,1),(542,1),(543,1)}
       135:{1,2,4,6}:{(96,1),(97,1),(107,1),(168,1),(177,1),(178,1),(279,1),(541,1),(551,1)}
       136:{1,5,6}:{(97,1),(98,1),(174,1)}
       137:{2,4,5,6}:{(98,1),(99,1),(109,1),(175,1),(179,1),(180,1),(281,1)}
       138:{1,2,4,6}:{(100,1),(105,1),(171,1),(181,1),(182,1),(243,1),(279,1)}
       139:{1,2,3,5,7}:{(100,1),(101,1),(172,1),(182,1),(183,1),(244,1),(273,1),(275,1),(283,1)}
       140:{1,2,6,7}:{(101,1),(102,1),(107,1),(245,1)}
       141:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(174,1),(184,1),(185,1),(275,1),(277,1),(284,1)}
       142:{2,4,6,7}:{(103,1),(104,1),(109,1),(175,1),(185,1),(186,1),(369,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(176,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(177,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(281,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(180,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(275,1),(379,1),(508,1),(542,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(277,1),(378,1),(381,1)}
       151:{2,5,6}:{(114,1),(121,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(122,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(128,1),(195,1),(199,1),(200,1),(220,1),(323,1),(325,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(129,1),(196,1),(200,1),(201,1),(223,1),(296,1),(319,1),(327,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(131,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(132,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(121,1),(194,1),(205,1),(206,1),(292,1)}
       160:{1,3,5}:{(120,1),(124,1),(205,1),(207,1)}
       161:{1,2,4,5,7}:{(120,1),(125,1),(206,1),(208,1),(209,1),(240,1),(307,1),(312,1),(341,1),(389,1),(401,1),(404,1),(408,1),(410,1),(490,1),(491,1)}
       162:{2,3,6}:{(121,1),(124,1),(128,1),(205,1),(211,1)}
       163:{2,4,7}:{(121,1),(122,1),(196,1),(211,1)}
       164:{1,3,4,6,7}:{(122,1),(123,1),(126,1),(130,1),(197,1),(212,1),(213,1),(222,1),(299,1),(311,1),(327,1),(336,1),(390,1),(396,1),(408,1),(415,1),(472,1),(486,1),(519,1)}
       165:{2,3,5,7}:{(123,1),(127,1),(131,1),(213,1),(214,1),(225,1),(329,1),(394,1),(471,1),(518,1)}
       166:{2,3,4}:{(124,1),(133,1),(207,1)}
       167:{2,3,5,7}:{(124,1),(125,1),(134,1),(208,1),(211,1),(215,1),(216,1),(321,1),(531,1),(532,1)}
       168:{2,4,6}:{(125,1),(126,1),(216,1),(217,1)}
       169:{1,3,5,6}:{(126,1),(127,1),(136,1),(213,1),(217,1),(218,1),(323,1),(333,1),(466,1),(545,1)}
       170:{2,4,5,6}:{(127,1),(214,1),(218,1),(219,1),(322,1)}
       171:{1,3,4,6}:{(128,1),(133,1),(138,1),(210,1),(220,1),(221,1),(325,1)}
       172:{1,3,7}:{(128,1),(129,1),(211,1)}
       173:{1,2,4,6,7}:{(129,1),(130,1),(135,1),(140,1),(212,1),(222,1),(223,1),(327,1),(519,1),(520,1),(528,1)}
       174:{1,5,7}:{(130,1),(131,1),(136,1)}
       175:{2,4,5,7}:{(131,1),(132,1),(137,1),(142,1),(224,1),(225,1),(329,1)}
       176:{1,3,4,7}:{(133,1),(134,1),(143,1),(215,1),(226,1),(327,1),(550,1)}
       177:{1,3,6}:{(134,1),(135,1),(216,1)}
       178:{1,2,5,6}:{(135,1),(136,1),(217,1),(223,1),(227,1),(234,1),(545,1)}
       179:{1,4,5,6}:{(136,1),(137,1),(146,1),(224,1),(229,1)}
       180:{3,5,6}:{(137,1),(147,1),(225,1)}
       181:{1,2,4,5}:{(138,1),(220,1),(234,1),(295,1),(330,1)}
       182:{1,2,4,7}:{(138,1),(139,1),(221,1),(296,1),(327,1)}
       183:{1,2,3,6,7}:{(139,1),(140,1),(144,1),(222,1),(231,1),(297,1),(325,1),(548,1)}
       184:{1,2,5,6,7}:{(140,1),(141,1),(145,1),(223,1),(232,1),(298,1),(329,1),(400,1)}
       185:{1,4,6,7}:{(141,1),(142,1),(146,1),(224,1),(327,1)}
       186:{3,4,6,7}:{(142,1),(147,1),(225,1),(396,1),(415,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(226,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(227,1),(234,1),(235,1),(236,1),(332,1),(337,1),(484,1),(530,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(229,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(327,1),(422,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(329,1),(422,1),(424,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(162,1),(241,1),(243,1),(244,1),(263,1),(367,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(163,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(165,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(279,1),(373,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(172,1),(244,1),(249,1),(250,1),(370,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(282,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(174,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(175,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,2,3,5}:{(160,1),(254,1),(255,1),(355,1)}
       205:{1,3,6}:{(159,1),(160,1),(162,1),(258,1)}
       206:{1,2,4,7}:{(159,1),(163,1),(242,1),(258,1),(343,1)}
       207:{1,3,4}:{(160,1),(166,1),(255,1)}
       208:{1,3,5,7}:{(160,1),(161,1),(167,1),(258,1),(260,1),(261,1),(364,1),(514,1),(515,1)}
       209:{1,2,4,6}:{(161,1),(168,1),(261,1),(262,1),(289,1),(365,1),(387,1),(431,1),(441,1)}
       210:{2,3,4,6}:{(162,1),(166,1),(171,1),(243,1),(257,1),(263,1),(264,1),(367,1)}
       211:{2,3,7}:{(162,1),(163,1),(172,1),(258,1)}
       212:{2,4,6,7}:{(163,1),(164,1),(168,1),(245,1),(265,1),(266,1),(369,1),(499,1),(511,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(169,1),(174,1),(266,1),(267,1),(370,1),(380,1),(432,1),(535,1)}
       214:{2,4,5,7}:{(165,1),(170,1),(247,1),(267,1),(268,1),(369,1)}
       215:{2,3,4,7}:{(166,1),(167,1),(176,1),(260,1),(269,1),(369,1),(544,1)}
       216:{2,3,6}:{(167,1),(168,1),(177,1),(261,1)}
       217:{2,5,6}:{(168,1),(169,1),(266,1)}
       218:{1,4,5,6}:{(169,1),(170,1),(267,1),(271,1),(279,1),(365,1)}
       219:{3,4,5,6}:{(170,1),(180,1),(268,1),(373,1),(498,1)}
       220:{1,3,5}:{(171,1),(181,1),(263,1)}
       221:{1,3,4,7}:{(171,1),(172,1),(182,1),(264,1),(273,1)}
       222:{1,3,6,7}:{(172,1),(173,1),(177,1),(265,1),(275,1),(542,1)}
       223:{1,2,5,7}:{(173,1),(174,1),(178,1),(266,1),(275,1),(535,1)}
       224:{1,4,5,7}:{(174,1),(175,1),(179,1),(185,1),(277,1)}
       225:{3,5,7}:{(175,1),(180,1),(186,1)}
       226:{1,3,4,6}:{(176,1),(177,1),(187,1),(269,1),(278,1),(279,1)}
       227:{1,3,5,6}:{(177,1),(178,1),(270,1),(275,1),(278,1),(279,1)}
       228:{1,2,4,5,6}:{(178,1),(179,1),(189,1),(271,1),(276,1),(279,1),(280,1),(281,1),(286,1),(375,1),(382,1),(459,1),(510,1)}
       229:{1,3,5,6}:{(179,1),(180,1),(190,1),(277,1),(281,1)}
       230:{1,2,4,5,7}:{(181,1),(182,1),(273,1),(282,1),(283,1),(346,1),(377,1)}
       231:{1,2,4,6,7}:{(182,1),(183,1),(187,1),(274,1),(282,1),(283,1),(347,1),(538,1),(551,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(189,1),(276,1),(284,1),(285,1),(349,1),(439,1),(499,1)}
       233:{1,3,4,6,7}:{(185,1),(186,1),(190,1),(277,1),(284,1),(285,1),(378,1)}
       234:{1,2,5}:{(187,1),(278,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(279,1),(286,1),(287,1),(382,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(281,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(542,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(380,1),(460,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(205,1),(292,1),(293,1),(309,1),(406,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(206,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(211,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(213,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(214,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(220,1),(295,1),(330,1),(418,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(327,1),(415,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(325,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(223,1),(298,1),(303,1),(334,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(224,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(225,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(205,1),(305,1),(306,1)}
       255:{1,2,4}:{(204,1),(207,1)}
       256:{1,2,3,5,7}:{(204,1),(208,1),(306,1),(307,1),(308,1),(341,1),(401,1),(404,1),(430,1),(493,1)}
       257:{1,3,4,6}:{(205,1),(207,1),(210,1),(292,1),(305,1),(309,1),(310,1),(406,1)}
       258:{1,3,7}:{(205,1),(206,1),(211,1)}
       259:{1,2,4,6,7}:{(206,1),(209,1),(212,1),(294,1),(311,1),(312,1),(336,1),(390,1),(408,1),(427,1),(490,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(215,1),(307,1),(313,1),(408,1),(533,1)}
       261:{1,3,6}:{(208,1),(209,1),(216,1)}
       262:{1,2,5,6}:{(209,1),(217,1),(312,1),(314,1),(333,1),(404,1),(466,1)}
       263:{2,3,5}:{(210,1),(220,1),(295,1),(309,1)}
       264:{2,3,4,7}:{(210,1),(211,1),(221,1),(296,1),(310,1),(316,1)}
       265:{2,3,6,7}:{(211,1),(212,1),(216,1),(222,1),(311,1),(318,1),(396,1),(531,1)}
       266:{2,5,7}:{(212,1),(213,1),(217,1)}
       267:{1,4,5,7}:{(213,1),(214,1),(218,1),(299,1),(319,1),(327,1),(408,1)}
       268:{3,4,5,7}:{(214,1),(219,1),(225,1),(300,1),(415,1),(471,1)}
       269:{2,3,4,6}:{(215,1),(216,1),(226,1),(313,1),(321,1),(322,1)}
       270:{2,3,5,6}:{(216,1),(217,1),(227,1),(314,1),(318,1),(321,1),(322,1),(323,1)}
       271:{2,4,5,6}:{(217,1),(218,1),(319,1),(322,1),(323,1)}
       272:{1,3,4,5,6}:{(218,1),(219,1),(229,1),(320,1),(323,1),(324,1),(331,1),(411,1),(420,1),(517,1)}
       273:{1,3,5,7}:{(220,1),(221,1),(230,1),(316,1),(325,1)}
       274:{1,3,4,6,7}:{(221,1),(222,1),(226,1),(231,1),(317,1),(325,1),(326,1),(327,1),(421,1),(519,1),(523,1),(546,1)}
       275:{1,3,5,7}:{(222,1),(223,1),(227,1),(318,1),(327,1)}
       276:{1,2,4,5,7}:{(223,1),(224,1),(228,1),(232,1),(319,1),(327,1),(328,1),(329,1),(417,1),(422,1),(487,1),(528,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(229,1),(233,1),(329,1)}
       278:{1,3,5}:{(226,1),(234,1),(321,1),(330,1)}
       279:{1,4,6}:{(227,1),(322,1),(327,1),(330,1)}
       280:{1,3,5,6}:{(228,1),(236,1),(323,1),(328,1),(331,1),(332,1),(337,1),(530,1)}
       281:{2,5,6}:{(229,1),(237,1),(329,1),(333,1)}
       282:{1,2,4,6}:{(230,1),(325,1),(334,1),(393,1),(421,1)}
       283:{1,2,5,7}:{(231,1),(234,1),(326,1),(334,1),(394,1)}
       284:{1,3,6,7}:{(232,1),(236,1),(328,1),(335,1),(396,1)}
       285:{2,4,6,7}:{(233,1),(237,1),(329,1),(335,1),(336,1),(422,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(330,1),(337,1),(424,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(530,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(333,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(422,1),(531,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(258,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(263,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(367,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(266,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(267,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(268,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(273,1),(346,1),(351,1),(352,1),(377,1),(454,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(275,1),(348,1),(352,1),(353,1),(376,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(277,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(257,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(258,1),(356,1)}
       307:{1,2,4,7}:{(255,1),(256,1),(260,1),(358,1),(516,1)}
       308:{1,2,3,6}:{(256,1),(261,1),(358,1),(387,1),(441,1)}
       309:{1,3,5}:{(257,1),(263,1),(342,1),(355,1)}
       310:{1,3,4,7}:{(257,1),(258,1),(264,1),(343,1),(356,1),(360,1)}
       311:{1,3,6,7}:{(258,1),(259,1),(261,1),(265,1),(362,1),(514,1)}
       312:{1,2,5,7}:{(259,1),(262,1),(266,1),(362,1),(380,1),(432,1)}
       313:{1,3,4,6}:{(260,1),(261,1),(269,1),(358,1),(364,1),(365,1)}
       314:{1,3,5,6}:{(261,1),(262,1),(270,1),(362,1),(364,1),(365,1)}
       315:{1,2,4,5,6}:{(262,1),(271,1),(363,1),(365,1),(366,1),(375,1),(444,1),(451,1),(459,1),(463,1),(494,1),(500,1),(534,1)}
       316:{2,3,5,7}:{(263,1),(264,1),(273,1),(346,1),(360,1),(367,1)}
       317:{2,3,4,6,7}:{(264,1),(265,1),(269,1),(274,1),(347,1),(361,1),(367,1),(368,1),(369,1),(437,1),(453,1),(496,1),(502,1),(536,1)}
       318:{2,3,5,7}:{(265,1),(266,1),(270,1),(275,1),(362,1),(369,1),(370,1)}
       319:{2,4,5,7}:{(266,1),(267,1),(271,1),(349,1),(369,1),(370,1)}
       320:{1,3,4,5,7}:{(267,1),(268,1),(272,1),(277,1),(350,1),(370,1),(371,1),(378,1),(448,1),(456,1),(495,1)}
       321:{2,3,5}:{(269,1),(278,1),(364,1),(372,1)}
       322:{2,4,6}:{(270,1),(279,1),(365,1),(369,1),(372,1),(373,1)}
       323:{3,5,6}:{(271,1),(370,1),(373,1)}
       324:{2,4,5,6}:{(272,1),(281,1),(371,1),(374,1),(375,1),(382,1),(451,1),(459,1),(534,1)}
       325:{1,3,6}:{(273,1),(282,1),(367,1)}
       326:{1,3,5,7}:{(274,1),(278,1),(283,1),(368,1),(376,1),(377,1),(535,1)}
       327:{1,4,7}:{(275,1),(279,1),(369,1)}
       328:{1,3,5,7}:{(276,1),(280,1),(284,1),(370,1),(378,1),(379,1),(542,1)}
       329:{2,5,7}:{(277,1),(281,1),(285,1),(380,1)}
       330:{1,4,5}:{(278,1),(279,1),(372,1)}
       331:{1,3,4,6}:{(279,1),(280,1),(373,1),(378,1),(381,1),(382,1)}
       332:{2,3,5,6}:{(280,1),(281,1),(288,1),(379,1),(382,1),(383,1),(385,1),(459,1),(513,1)}
       333:{1,5,6}:{(281,1),(289,1),(380,1)}
       334:{1,2,5,6}:{(282,1),(283,1),(376,1),(435,1),(551,1)}
       335:{2,3,6,7}:{(284,1),(285,1),(288,1),(379,1),(384,1),(499,1)}
       336:{1,4,6,7}:{(285,1),(289,1),(380,1),(384,1),(460,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(382,1),(385,1),(386,1),(513,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(460,1),(514,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(309,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(406,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(312,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(316,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(318,1),(391,1),(394,1),(395,1),(396,1),(413,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(319,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(320,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(325,1),(393,1),(398,1),(421,1),(485,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(327,1),(395,1),(399,1),(421,1)}
       354:{2,5,6,7}:{(304,1),(329,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(309,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(310,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(308,1),(311,1),(402,1),(403,1),(427,1),(469,1),(521,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(313,1),(404,1)}
       359:{1,2,3,5,6}:{(308,1),(314,1),(403,1),(404,1),(405,1),(412,1),(426,1),(473,1),(476,1),(492,1),(493,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(316,1),(389,1),(401,1),(406,1)}
       361:{1,3,4,6,7}:{(310,1),(311,1),(313,1),(317,1),(390,1),(402,1),(406,1),(407,1),(408,1),(475,1),(478,1),(521,1)}
       362:{1,3,5,7}:{(311,1),(312,1),(314,1),(318,1),(408,1)}
       363:{1,2,4,5,7}:{(312,1),(315,1),(319,1),(392,1),(408,1),(409,1),(417,1),(467,1),(480,1),(487,1),(490,1),(518,1)}
       364:{1,3,5}:{(313,1),(321,1),(404,1),(410,1)}
       365:{1,4,6}:{(314,1),(322,1),(408,1),(410,1)}
       366:{1,3,5,6}:{(315,1),(323,1),(409,1),(411,1),(412,1),(476,1),(492,1),(521,1)}
       367:{2,3,6}:{(316,1),(325,1),(393,1),(406,1)}
       368:{2,3,5,7}:{(317,1),(321,1),(326,1),(394,1),(407,1),(413,1),(414,1),(471,1),(518,1)}
       369:{2,4,7}:{(318,1),(322,1),(327,1),(408,1),(415,1)}
       370:{3,5,7}:{(319,1),(323,1),(396,1),(415,1)}
       371:{2,4,5,7}:{(320,1),(324,1),(329,1),(397,1),(416,1),(417,1),(422,1),(480,1),(487,1),(518,1)}
       372:{2,4,5}:{(321,1),(322,1),(330,1),(410,1),(418,1)}
       373:{3,4,6}:{(322,1),(323,1),(415,1),(418,1)}
       374:{2,3,5,6}:{(323,1),(324,1),(416,1),(419,1),(420,1)}
       375:{1,4,5,6}:{(324,1),(333,1),(417,1),(420,1),(425,1),(483,1),(545,1)}
       376:{1,3,5,6}:{(325,1),(326,1),(334,1),(413,1),(421,1),(545,1),(546,1)}
       377:{1,4,5,7}:{(326,1),(327,1),(330,1),(414,1),(421,1)}
       378:{1,3,4,7}:{(327,1),(328,1),(331,1),(415,1),(422,1)}
       379:{2,3,5,7}:{(328,1),(329,1),(332,1),(335,1),(422,1),(423,1),(487,1),(531,1)}
       380:{1,5,7}:{(329,1),(333,1),(336,1)}
       381:{1,3,4,5}:{(330,1),(331,1),(337,1),(418,1),(424,1)}
       382:{2,4,6}:{(331,1),(332,1),(422,1),(424,1),(425,1)}
       383:{1,3,5,6}:{(332,1),(333,1),(339,1),(423,1),(425,1),(426,1),(428,1),(492,1)}
       384:{1,3,6,7}:{(335,1),(336,1),(339,1),(423,1),(427,1)}
       385:{2,3,5}:{(337,1),(338,1),(424,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(425,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(360,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(362,1),(432,1),(433,1),(434,1),(446,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(363,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(367,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(369,1),(433,1),(436,1),(437,1),(453,1)}
       396:{3,6,7}:{(349,1),(370,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(371,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(380,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(360,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(358,1),(361,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(359,1),(362,1),(442,1),(443,1),(449,1),(461,1),(501,1),(514,1)}
       404:{1,2,5}:{(358,1),(364,1)}
       405:{1,2,4,6}:{(359,1),(365,1),(443,1),(444,1),(445,1),(451,1),(516,1)}
       406:{1,3,6}:{(360,1),(367,1),(431,1),(441,1)}
       407:{1,3,5,7}:{(361,1),(364,1),(368,1),(432,1),(442,1),(446,1),(447,1)}
       408:{1,4,7}:{(362,1),(365,1),(369,1)}
       409:{1,3,5,7}:{(363,1),(366,1),(370,1),(434,1),(448,1),(449,1),(514,1)}
       410:{1,4,5}:{(364,1),(365,1),(372,1)}
       411:{1,3,4,6}:{(365,1),(366,1),(373,1),(448,1),(450,1),(451,1)}
       412:{2,3,5,6}:{(366,1),(449,1),(451,1),(452,1),(459,1),(503,1),(513,1),(534,1),(536,1)}
       413:{2,3,5,6}:{(367,1),(368,1),(376,1),(435,1),(446,1),(453,1),(498,1),(534,1),(536,1)}
       414:{2,4,5,7}:{(368,1),(369,1),(372,1),(377,1),(447,1),(453,1),(454,1)}
       415:{3,4,7}:{(369,1),(370,1),(373,1)}
       416:{2,3,5,7}:{(370,1),(371,1),(374,1),(438,1),(455,1),(456,1)}
       417:{1,4,5,7}:{(371,1),(375,1),(380,1),(439,1),(456,1),(460,1),(507,1),(535,1)}
       418:{3,4,5}:{(372,1),(373,1)}
       419:{2,3,4,6}:{(373,1),(374,1),(382,1),(451,1),(455,1),(457,1),(458,1),(513,1)}
       420:{1,3,5,6}:{(374,1),(375,1),(456,1),(458,1),(459,1)}
       421:{1,4,6}:{(376,1),(377,1),(453,1)}
       422:{2,4,7}:{(378,1),(379,1),(382,1),(460,1)}
       423:{1,3,5,7}:{(379,1),(380,1),(383,1),(384,1),(460,1),(461,1),(514,1)}
       424:{2,4,5}:{(381,1),(382,1),(385,1),(462,1)}
       425:{1,4,6}:{(382,1),(383,1),(460,1),(462,1)}
       426:{1,2,5,6}:{(383,1),(387,1),(459,1),(461,1),(463,1),(464,1)}
       427:{1,2,6,7}:{(384,1),(387,1),(461,1),(499,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(514,1)}
       431:{1,4,6}:{(389,1),(393,1),(406,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(408,1),(467,1),(478,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(409,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(415,1),(471,1),(485,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(416,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(417,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(421,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(406,1)}
       442:{1,2,5,7}:{(402,1),(404,1),(407,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(405,1),(408,1),(475,1),(480,1)}
       444:{1,2,4,5}:{(404,1),(405,1),(410,1),(476,1),(482,1)}
       445:{1,3,4,6}:{(405,1),(475,1),(476,1),(477,1),(492,1),(521,1),(533,1)}
       446:{1,3,5,6}:{(406,1),(407,1),(413,1),(466,1),(473,1),(478,1),(521,1)}
       447:{1,4,5,7}:{(407,1),(408,1),(410,1),(414,1),(478,1)}
       448:{1,3,4,7}:{(408,1),(409,1),(411,1),(415,1),(480,1)}
       449:{2,3,5,7}:{(409,1),(412,1),(469,1),(480,1),(481,1),(487,1),(518,1),(531,1)}
       450:{1,3,4,5}:{(410,1),(411,1),(418,1),(476,1),(482,1)}
       451:{2,4,6}:{(411,1),(412,1),(480,1),(482,1),(483,1)}
       452:{1,3,5,6}:{(412,1),(481,1),(483,1),(484,1),(524,1),(530,1),(545,1),(546,1)}
       453:{2,4,6}:{(413,1),(414,1),(421,1),(478,1),(485,1)}
       454:{3,4,5,7}:{(414,1),(415,1),(418,1),(471,1),(485,1)}
       455:{2,3,4,7}:{(415,1),(416,1),(419,1),(422,1),(480,1),(486,1),(531,1)}
       456:{1,3,5,7}:{(416,1),(417,1),(420,1),(472,1),(486,1),(487,1)}
       457:{2,3,4,5}:{(418,1),(419,1),(424,1),(482,1),(488,1),(532,1)}
       458:{1,3,4,6}:{(419,1),(420,1),(425,1),(483,1),(486,1),(488,1),(489,1),(492,1),(530,1)}
       459:{2,5,6}:{(420,1),(487,1),(489,1)}
       460:{1,4,7}:{(422,1),(423,1),(425,1)}
       461:{1,2,5,7}:{(423,1),(426,1),(427,1),(487,1),(490,1)}
       462:{1,4,5}:{(424,1),(425,1),(428,1)}
       463:{1,2,4,6}:{(425,1),(426,1),(489,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(448,1),(495,1),(496,1),(505,1)}
       469:{2,3,6,7}:{(434,1),(449,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(453,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(456,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(446,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(444,1),(447,1),(500,1),(501,1),(506,1)}
       475:{1,3,4,7}:{(443,1),(445,1),(501,1),(502,1),(514,1)}
       476:{1,3,5}:{(444,1),(445,1),(503,1)}
       477:{2,3,4,6}:{(445,1),(451,1),(502,1),(503,1),(504,1),(513,1),(536,1),(544,1)}
       478:{1,4,6}:{(446,1),(447,1),(453,1)}
       479:{1,3,4,5,7}:{(447,1),(448,1),(450,1),(454,1),(495,1),(501,1),(505,1),(506,1)}
       480:{2,4,7}:{(448,1),(449,1),(451,1),(507,1)}
       481:{1,3,5,7}:{(449,1),(452,1),(497,1),(507,1),(508,1),(535,1),(542,1)}
       482:{2,4,5}:{(450,1),(451,1),(503,1),(509,1)}
       483:{1,4,6}:{(451,1),(452,1),(507,1),(509,1)}
       484:{1,2,5,6}:{(452,1),(459,1),(508,1),(510,1),(539,1),(551,1)}
       485:{3,4,6}:{(453,1),(454,1),(498,1)}
       486:{1,3,4,7}:{(455,1),(456,1),(458,1),(460,1),(507,1),(511,1),(514,1),(542,1)}
       487:{2,5,7}:{(456,1),(459,1),(499,1),(511,1)}
       488:{1,3,4,5}:{(457,1),(458,1),(462,1),(509,1),(512,1),(515,1),(543,1)}
       489:{2,4,6}:{(458,1),(459,1),(511,1),(512,1),(513,1)}
       490:{1,2,4,7}:{(460,1),(461,1),(463,1),(511,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(512,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(513,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(478,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(480,1),(518,1),(519,1),(526,1)}
       497:{1,3,6,7}:{(469,1),(481,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(485,1)}
       499:{2,6,7}:{(472,1),(487,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(478,1),(521,1),(526,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(476,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(477,1),(480,1),(522,1),(523,1),(531,1)}
       503:{2,3,5}:{(476,1),(477,1),(482,1),(524,1)}
       504:{1,3,4,6}:{(477,1),(483,1),(523,1),(524,1),(525,1),(530,1),(546,1),(550,1)}
       505:{1,3,4,6}:{(478,1),(479,1),(485,1),(517,1),(521,1),(526,1)}
       506:{2,4,5,7}:{(479,1),(480,1),(482,1),(518,1),(522,1),(526,1),(527,1)}
       507:{1,4,7}:{(480,1),(481,1),(483,1)}
       508:{1,2,5,7}:{(481,1),(484,1),(487,1),(520,1),(528,1)}
       509:{1,4,5}:{(482,1),(483,1),(524,1)}
       510:{1,2,4,6}:{(483,1),(484,1),(489,1),(528,1),(529,1),(530,1)}
       511:{2,4,7}:{(486,1),(487,1),(489,1),(531,1)}
       512:{2,4,5}:{(488,1),(489,1),(532,1)}
       513:{2,3,6}:{(489,1),(492,1),(530,1),(531,1),(532,1)}
       514:{1,3,7}:{(490,1),(492,1),(531,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(505,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(507,1),(535,1),(541,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(508,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(503,1),(506,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(504,1),(507,1),(537,1),(538,1),(542,1)}
       524:{1,3,5}:{(503,1),(504,1),(509,1),(539,1)}
       525:{1,2,4,6}:{(504,1),(538,1),(539,1),(540,1),(551,1),(552,1)}
       526:{2,4,6}:{(505,1),(506,1),(534,1),(536,1),(541,1)}
       527:{1,4,5,7}:{(506,1),(507,1),(509,1),(535,1),(537,1),(541,1)}
       528:{1,2,4,7}:{(507,1),(508,1),(510,1),(511,1),(542,1)}
       529:{1,2,4,5}:{(509,1),(510,1),(512,1),(539,1),(543,1),(552,1)}
       530:{1,3,6}:{(510,1),(513,1),(542,1),(543,1)}
       531:{2,3,7}:{(511,1),(513,1),(514,1),(542,1)}
       532:{2,3,5}:{(512,1),(513,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(526,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(526,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(524,1),(527,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(525,1),(547,1),(548,1)}
       539:{1,2,5}:{(524,1),(525,1)}
       540:{1,2,3,6}:{(525,1),(530,1),(548,1),(549,1)}
       541:{1,4,6}:{(526,1),(527,1),(545,1),(546,1)}
       542:{1,3,7}:{(528,1),(530,1),(531,1)}
       543:{1,3,5}:{(529,1),(530,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(541,1)}
       546:{1,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(539,1),(540,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1349 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1350 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1351 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(11,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,7}:{(1,1),(10,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(37,1),(149,1),(171,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(11,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(20,1),(55,1),(56,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,4,7}:{(4,1),(5,1),(18,1),(21,1),(174,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(22,1),(23,1),(40,1),(55,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(74,1),(75,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(30,1),(34,1),(36,1),(78,1),(172,1)}
        19:{1,3,5}:{(8,1),(11,1),(31,1),(33,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(34,1),(37,1)}
        22:{1,2,5,6}:{(11,1),(12,1),(35,1),(37,1),(38,1),(60,1),(171,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(38,1),(61,1),(78,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(55,1),(97,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(45,1),(47,1),(48,1),(49,1),(86,1),(93,1),(94,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,4,7}:{(16,1),(18,1),(47,1),(51,1),(53,1),(99,1),(165,1)}
        31:{2,3,5}:{(16,1),(19,1),(48,1),(50,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(19,1),(50,1),(55,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(51,1),(54,1),(56,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(22,1),(52,1),(55,1),(56,1),(57,1),(101,1),(158,1),(164,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,6}:{(21,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(57,1),(58,1),(83,1),(174,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(78,1),(120,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(66,1),(110,1)}
        44:{1,2,3,7}:{(26,1),(65,1),(152,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(65,1),(69,1),(71,1),(117,1),(152,1)}
        48:{1,3,5}:{(28,1),(31,1),(66,1),(68,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(31,1),(33,1),(68,1),(72,1),(74,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(34,1),(69,1),(73,1),(75,1)}
        52:{2,3,5,6}:{(31,1),(32,1),(35,1),(60,1),(70,1),(74,1),(75,1),(76,1),(105,1),(121,1),(144,1),(151,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,5,7}:{(33,1),(34,1),(73,1),(77,1),(78,1),(123,1)}
        55:{1,4,6}:{(33,1),(35,1),(74,1),(78,1)}
        56:{1,3,6}:{(34,1),(37,1),(75,1),(77,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(38,1),(76,1),(78,1),(79,1),(123,1),(168,1),(172,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(55,1),(82,1),(84,1),(101,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,4,7}:{(44,1),(45,1),(47,1),(88,1),(90,1)}
        66:{1,2,5}:{(45,1),(48,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(48,1),(50,1),(93,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(88,1),(92,1),(94,1)}
        70:{1,3,5,6}:{(48,1),(49,1),(52,1),(80,1),(89,1),(93,1),(94,1),(95,1),(133,1),(139,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1),(99,1),(143,1)}
        74:{2,4,6}:{(50,1),(52,1),(55,1),(93,1),(97,1),(99,1)}
        75:{2,3,6}:{(51,1),(56,1),(94,1),(98,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(57,1),(83,1),(95,1),(99,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        77:{1,4,6}:{(54,1),(56,1),(98,1),(101,1)}
        78:{1,4,7}:{(55,1),(57,1),(99,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(102,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(74,1),(103,1),(105,1),(106,1),(121,1),(144,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(78,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(66,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(69,1),(112,1)}
        89:{1,2,5,6}:{(66,1),(67,1),(70,1),(111,1),(112,1),(113,1),(144,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,5,7}:{(68,1),(69,1),(73,1),(116,1),(117,1),(155,1)}
        93:{1,4,6}:{(68,1),(70,1),(74,1),(117,1)}
        94:{1,3,6}:{(69,1),(75,1),(112,1),(116,1)}
        95:{1,3,5,7}:{(70,1),(71,1),(76,1),(104,1),(113,1),(117,1),(118,1),(152,1),(155,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(119,1),(120,1),(157,1)}
        97:{3,4,6}:{(72,1),(74,1),(105,1),(120,1)}
        98:{2,4,6}:{(73,1),(75,1),(77,1),(116,1),(119,1),(121,1)}
        99:{2,4,7}:{(74,1),(76,1),(78,1),(117,1),(120,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(122,1),(147,1),(169,1)}
       101:{1,5,6}:{(77,1),(121,1),(123,1)}
       102:{1,4,6,7}:{(77,1),(78,1),(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(93,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(97,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(89,1),(93,1),(133,1),(134,1),(137,1)}
       112:{1,2,6}:{(88,1),(94,1)}
       113:{1,2,5,7}:{(89,1),(90,1),(95,1),(134,1),(135,1),(159,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(93,1),(97,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,6}:{(92,1),(94,1),(98,1),(139,1)}
       117:{1,4,7}:{(93,1),(95,1),(99,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(140,1)}
       119:{3,4,6}:{(96,1),(98,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(127,1)}
       121:{2,5,6}:{(98,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(117,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(120,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(117,1),(120,1),(145,1),(152,1),(154,1)}
       139:{1,5,6}:{(116,1),(121,1),(155,1)}
       140:{1,4,6,7}:{(116,1),(117,1),(118,1),(122,1),(155,1)}
       141:{3,5,6}:{(119,1),(121,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(119,1),(120,1),(122,1),(147,1),(157,1),(170,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(157,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{4,5,6}:{(141,1),(167,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(157,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1352 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1353 :   0:{1,2,3,6,7}:{(1,1),(2,1),(41,1),(90,1),(149,1),(237,1),(327,1),(446,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(24,1),(111,1),(119,1),(188,1),(289,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(125,1),(377,1),(403,1),(411,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(75,1),(98,1),(141,1),(171,1),(256,1),(497,1)}
         4:{1,3,4,6,7}:{(1,1),(10,1),(11,1),(15,1),(37,1),(41,1),(79,1),(144,1),(226,1),(327,1),(331,1),(424,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(12,1),(159,1),(339,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(14,1),(41,1),(43,1),(92,1),(237,1),(330,1),(339,1),(358,1),(367,1),(370,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(165,1),(424,1)}
         8:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(19,1),(49,1),(69,1),(129,1),(178,1),(219,1)}
         9:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(50,1),(184,1),(306,1),(465,1),(473,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(28,1),(53,1),(55,1),(64,1),(106,1),(113,1),(119,1),(178,1),(297,1),(300,1),(396,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(275,1),(382,1)}
        12:{1,2,5,6}:{(5,1),(21,1),(24,1),(121,1),(188,1)}
        13:{1,2,4,5,7}:{(5,1),(7,1),(22,1),(24,1),(25,1),(26,1),(60,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(26,1),(27,1),(127,1),(381,1),(418,1)}
        15:{1,3,4,7}:{(7,1),(25,1),(27,1),(28,1),(411,1)}
        16:{1,3,4,6,7}:{(8,1),(10,1),(29,1),(33,1),(45,1),(71,1),(75,1),(93,1),(160,1),(256,1),(260,1),(356,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(30,1),(225,1),(268,1)}
        18:{1,2,3,5,6}:{(9,1),(30,1),(32,1),(75,1),(77,1),(143,1),(171,1),(259,1),(268,1),(426,1),(435,1),(438,1)}
        19:{1,2,4,7}:{(9,1),(32,1),(33,1),(231,1),(356,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(151,1),(159,1),(225,1),(350,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(34,1),(37,1),(41,1),(144,1),(228,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(37,1),(424,1),(429,1)}
        23:{1,2,5,6,7}:{(12,1),(36,1),(39,1),(159,1),(233,1),(252,1),(326,1),(344,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(87,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(41,1),(42,1),(43,1)}
        26:{1,2,4,5}:{(14,1),(43,1),(95,1),(339,1),(429,1)}
        27:{1,3,4,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(367,1),(371,1)}
        28:{2,3,4,7}:{(15,1),(42,1),(44,1),(45,1),(165,1),(363,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(47,1),(205,1),(311,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(49,1),(129,1),(180,1)}
        31:{1,2,4,5,7}:{(17,1),(19,1),(47,1),(49,1),(50,1),(51,1),(102,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(51,1),(52,1),(186,1),(310,1),(480,1)}
        33:{1,3,4,7}:{(19,1),(50,1),(52,1),(53,1),(473,1)}
        34:{2,3,5,6}:{(20,1),(21,1),(46,1),(55,1),(64,1),(106,1),(114,1),(121,1),(180,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(396,1),(399,1)}
        36:{1,3,5,6,7}:{(21,1),(23,1),(54,1),(57,1),(62,1),(118,1),(185,1),(275,1),(377,1)}
        37:{1,4,6}:{(21,1),(22,1),(55,1)}
        38:{1,3,4,5,7}:{(22,1),(25,1),(56,1),(59,1),(60,1),(66,1),(118,1),(124,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(61,1),(62,1),(119,1),(302,1),(393,1),(400,1)}
        40:{1,2,4,5,6}:{(24,1),(26,1),(58,1),(61,1),(63,1),(121,1),(127,1),(208,1),(279,1),(298,1),(308,1),(316,1),(381,1)}
        41:{1,3,6}:{(24,1),(25,1),(64,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(60,1),(64,1),(65,1),(67,1)}
        43:{1,3,5}:{(26,1),(27,1),(67,1)}
        44:{2,3,4,6}:{(27,1),(28,1),(64,1),(67,1),(68,1),(127,1),(317,1),(321,1)}
        45:{1,3,4,7}:{(28,1),(65,1),(68,1),(69,1),(213,1),(313,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(34,1),(71,1),(75,1),(93,1),(162,1)}
        47:{1,4,5,7}:{(29,1),(35,1),(71,1),(356,1),(361,1)}
        48:{1,2,5,6,7}:{(30,1),(70,1),(73,1),(167,1),(225,1),(255,1),(323,1),(344,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(71,1),(75,1),(138,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(75,1),(76,1),(77,1)}
        51:{1,2,4,5}:{(32,1),(77,1),(146,1),(268,1),(361,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(75,1),(77,1),(78,1),(435,1),(439,1)}
        53:{2,3,4,7}:{(33,1),(76,1),(78,1),(79,1),(231,1),(431,1)}
        54:{2,3,5,6,7}:{(34,1),(36,1),(70,1),(80,1),(90,1),(141,1),(151,1),(159,1),(225,1),(344,1),(346,1),(440,1)}
        55:{2,4,6}:{(34,1),(35,1),(37,1),(71,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(151,1),(442,1),(445,1)}
        57:{1,4,6,7}:{(36,1),(37,1),(80,1),(84,1),(424,1)}
        58:{1,4,5,6}:{(37,1),(81,1),(84,1),(86,1),(228,1)}
        59:{1,3,4,6}:{(37,1),(38,1),(41,1),(82,1),(86,1),(87,1)}
        60:{2,4,5,7}:{(38,1),(42,1),(87,1),(88,1),(95,1),(159,1),(165,1)}
        61:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(89,1),(159,1),(165,1),(254,1),(326,1),(345,1),(354,1),(362,1),(424,1)}
        62:{1,3,6,7}:{(39,1),(41,1),(89,1),(90,1),(440,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(91,1),(92,1),(348,1),(367,1)}
        64:{2,3,6}:{(41,1),(42,1),(87,1),(93,1)}
        65:{1,3,5,7}:{(42,1),(45,1),(88,1),(93,1),(94,1),(96,1)}
        66:{1,3,4,5}:{(43,1),(91,1),(95,1),(429,1),(445,1)}
        67:{2,3,5}:{(43,1),(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(93,1),(96,1),(97,1),(169,1),(266,1),(271,1)}
        69:{1,2,4,7}:{(45,1),(94,1),(97,1),(98,1)}
        70:{1,3,5,6,7}:{(46,1),(48,1),(54,1),(99,1),(104,1),(126,1),(177,1),(205,1),(306,1)}
        71:{1,4,6}:{(46,1),(47,1),(55,1)}
        72:{1,3,4,5,7}:{(47,1),(50,1),(56,1),(101,1),(102,1),(108,1),(177,1),(183,1)}
        73:{1,2,4,6,7}:{(48,1),(49,1),(99,1),(103,1),(104,1),(178,1),(373,1),(393,1),(462,1)}
        74:{1,2,4,5,6}:{(49,1),(51,1),(100,1),(103,1),(105,1),(180,1),(186,1),(209,1),(278,1),(298,1),(310,1),(379,1),(387,1)}
        75:{1,3,6}:{(49,1),(50,1),(106,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(106,1),(107,1),(109,1)}
        77:{1,3,5}:{(51,1),(52,1),(109,1)}
        78:{2,3,4,6}:{(52,1),(53,1),(106,1),(109,1),(110,1),(186,1),(388,1),(392,1)}
        79:{1,3,4,7}:{(53,1),(107,1),(110,1),(111,1),(283,1),(384,1)}
        80:{2,4,6,7}:{(54,1),(55,1),(57,1),(99,1),(112,1),(113,1),(396,1)}
        81:{2,4,5,6}:{(55,1),(58,1),(100,1),(112,1),(114,1),(121,1),(180,1)}
        82:{3,4,6}:{(55,1),(56,1),(114,1)}
        83:{2,3,4,5,7}:{(56,1),(60,1),(102,1),(115,1),(116,1),(131,1),(190,1),(196,1),(201,1),(212,1),(282,1),(396,1),(399,1),(483,1),(490,1),(528,1)}
        84:{1,4,5,7}:{(57,1),(58,1),(112,1),(118,1),(275,1)}
        85:{1,3,4,6,7}:{(57,1),(59,1),(62,1),(113,1),(118,1),(119,1),(124,1)}
        86:{1,3,5,6}:{(58,1),(59,1),(114,1),(118,1),(121,1)}
        87:{2,4,6}:{(59,1),(60,1),(64,1),(121,1),(122,1)}
        88:{1,4,5,7}:{(60,1),(65,1),(122,1),(132,1),(205,1),(213,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(63,1),(124,1),(125,1),(395,1),(411,1)}
        90:{2,3,6,7}:{(62,1),(64,1),(119,1),(125,1),(126,1),(400,1)}
        91:{1,3,4,6}:{(63,1),(66,1),(124,1),(127,1),(381,1),(398,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(67,1),(121,1),(125,1),(127,1),(128,1),(308,1),(317,1)}
        93:{1,3,6}:{(64,1),(65,1),(122,1),(129,1)}
        94:{1,2,5,7}:{(65,1),(69,1),(129,1),(133,1)}
        95:{2,4,5}:{(66,1),(67,1),(127,1),(132,1)}
        96:{1,3,5}:{(67,1),(68,1),(132,1),(133,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(129,1),(133,1),(134,1),(222,1)}
        98:{1,2,3,7}:{(69,1),(134,1),(313,1)}
        99:{1,4,6,7}:{(70,1),(71,1),(80,1),(135,1),(356,1)}
       100:{1,4,5,6}:{(71,1),(81,1),(135,1),(137,1),(162,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(75,1),(82,1),(137,1),(138,1)}
       102:{2,4,5,7}:{(72,1),(76,1),(138,1),(139,1),(146,1),(225,1),(231,1)}
       103:{1,2,4,5,7}:{(73,1),(74,1),(135,1),(140,1),(225,1),(231,1),(255,1),(325,1),(345,1),(356,1),(422,1),(430,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(140,1),(141,1),(440,1)}
       105:{1,3,5,6}:{(74,1),(75,1),(77,1),(140,1),(142,1),(143,1),(348,1),(435,1)}
       106:{2,3,6}:{(75,1),(76,1),(138,1),(144,1)}
       107:{1,3,5,7}:{(76,1),(79,1),(139,1),(144,1),(145,1),(147,1)}
       108:{1,3,4,5}:{(77,1),(142,1),(146,1),(361,1),(445,1)}
       109:{2,3,5}:{(77,1),(78,1),(146,1),(147,1)}
       110:{1,3,4,6}:{(78,1),(79,1),(144,1),(147,1),(148,1),(235,1),(337,1),(342,1)}
       111:{1,2,4,7}:{(79,1),(145,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(84,1),(135,1),(151,1),(159,1),(225,1)}
       113:{3,4,6,7}:{(80,1),(82,1),(151,1),(440,1),(442,1)}
       114:{3,5,6}:{(81,1),(82,1),(151,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(87,1),(138,1),(154,1),(155,1),(249,1),(349,1),(515,1),(520,1),(544,1)}
       116:{1,3,4,5,7}:{(83,1),(88,1),(139,1),(155,1),(156,1),(164,1),(173,1),(230,1),(239,1),(245,1),(261,1),(332,1),(356,1),(361,1),(424,1),(429,1),(442,1),(445,1),(519,1),(543,1)}
       117:{1,4,5,6,7}:{(84,1),(150,1),(157,1),(323,1),(343,1),(449,1)}
       118:{1,3,5,7}:{(84,1),(85,1),(86,1),(151,1),(159,1)}
       119:{2,4,6,7}:{(85,1),(87,1),(90,1),(159,1),(160,1),(165,1)}
       120:{1,3,4,5,6}:{(86,1),(91,1),(153,1),(158,1),(161,1),(247,1),(257,1),(348,1),(360,1),(518,1)}
       121:{2,5,6}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,4,6}:{(87,1),(88,1),(93,1),(162,1)}
       123:{1,2,4,5,7}:{(88,1),(94,1),(156,1),(163,1),(164,1),(172,1),(174,1),(255,1),(262,1),(268,1),(340,1),(356,1),(361,1),(430,1),(543,1),(545,1)}
       124:{1,3,4,7}:{(89,1),(91,1),(165,1),(424,1),(442,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(92,1),(159,1),(165,1),(166,1),(354,1),(363,1)}
       126:{1,3,6,7}:{(90,1),(93,1),(160,1),(166,1),(167,1)}
       127:{2,4,6}:{(91,1),(92,1),(95,1),(165,1),(169,1)}
       128:{1,3,5,6}:{(92,1),(93,1),(96,1),(162,1),(166,1),(169,1),(170,1),(266,1)}
       129:{1,2,6}:{(93,1),(94,1)}
       130:{1,2,3,5,7}:{(94,1),(98,1),(164,1),(171,1),(172,1),(175,1),(268,1),(438,1),(507,1),(545,1)}
       131:{2,3,4,5}:{(95,1),(168,1),(173,1),(270,1),(445,1),(455,1)}
       132:{1,4,5}:{(95,1),(96,1),(169,1)}
       133:{1,2,5}:{(96,1),(97,1)}
       134:{1,2,3,6}:{(97,1),(98,1),(175,1),(266,1)}
       135:{1,4,5,7}:{(99,1),(100,1),(112,1),(177,1),(205,1)}
       136:{1,3,4,6,7}:{(99,1),(101,1),(104,1),(113,1),(177,1),(178,1),(183,1)}
       137:{1,3,5,6}:{(100,1),(101,1),(114,1),(177,1),(180,1)}
       138:{2,4,6}:{(101,1),(102,1),(106,1),(180,1),(181,1)}
       139:{1,4,5,7}:{(102,1),(107,1),(181,1),(191,1),(275,1),(283,1)}
       140:{1,3,5,7}:{(103,1),(104,1),(105,1),(183,1),(184,1),(395,1),(473,1)}
       141:{2,3,6,7}:{(104,1),(106,1),(178,1),(184,1),(185,1),(462,1)}
       142:{1,3,4,6}:{(105,1),(108,1),(183,1),(186,1),(310,1),(398,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(109,1),(180,1),(184,1),(186,1),(187,1),(379,1),(388,1)}
       144:{1,3,6}:{(106,1),(107,1),(181,1),(188,1)}
       145:{1,2,5,7}:{(107,1),(111,1),(188,1),(192,1)}
       146:{2,4,5}:{(108,1),(109,1),(186,1),(191,1)}
       147:{1,3,5}:{(109,1),(110,1),(191,1),(192,1)}
       148:{1,2,4,6}:{(110,1),(111,1),(188,1),(192,1),(193,1),(292,1)}
       149:{1,2,3,7}:{(111,1),(193,1),(384,1)}
       150:{2,4,5,6,7}:{(112,1),(117,1),(176,1),(194,1),(203,1),(273,1),(293,1),(393,1),(482,1)}
       151:{3,5,7}:{(112,1),(113,1),(114,1)}
       152:{2,3,4,6,7}:{(113,1),(115,1),(119,1),(178,1),(196,1),(197,1),(212,1),(282,1),(293,1),(297,1),(301,1),(372,1),(396,1),(481,1),(486,1),(524,1)}
       153:{3,4,5,6}:{(114,1),(195,1),(198,1),(398,1),(535,1)}
       154:{2,3,5,6}:{(114,1),(115,1),(121,1),(180,1),(196,1),(198,1),(199,1),(535,1),(537,1),(549,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(122,1),(181,1),(199,1),(200,1),(210,1),(280,1),(310,1),(381,1),(398,1),(538,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(220,1),(290,1),(296,1),(312,1),(383,1),(396,1),(399,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(194,1),(202,1),(203,1),(487,1)}
       158:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(195,1),(202,1),(204,1),(295,1),(304,1),(395,1),(405,1),(487,1)}
       159:{2,5,7}:{(118,1),(119,1),(121,1),(205,1)}
       160:{1,4,6,7}:{(119,1),(122,1),(126,1),(205,1),(213,1)}
       161:{2,4,5,6}:{(120,1),(121,1),(127,1),(204,1),(207,1),(208,1),(308,1),(409,1),(537,1)}
       162:{1,5,6}:{(121,1),(122,1),(205,1)}
       163:{1,2,4,6}:{(122,1),(123,1),(129,1),(200,1),(209,1),(210,1),(310,1),(550,1),(551,1)}
       164:{1,3,5,7}:{(123,1),(201,1),(210,1),(211,1),(221,1),(311,1),(313,1),(391,1),(473,1)}
       165:{2,4,7}:{(124,1),(125,1),(127,1),(213,1)}
       166:{1,3,5,7}:{(125,1),(126,1),(128,1),(205,1),(213,1),(214,1),(313,1)}
       167:{1,2,6,7}:{(126,1),(129,1),(214,1),(400,1)}
       168:{2,3,4,6}:{(127,1),(131,1),(207,1),(212,1),(216,1),(317,1),(398,1),(409,1)}
       169:{1,4,6}:{(127,1),(128,1),(132,1),(213,1)}
       170:{1,2,5,6}:{(128,1),(129,1),(133,1),(214,1),(217,1),(308,1)}
       171:{1,2,3,6}:{(129,1),(130,1),(210,1),(219,1),(551,1)}
       172:{1,2,4,7}:{(130,1),(211,1),(219,1),(222,1),(480,1)}
       173:{1,3,4,5}:{(131,1),(132,1),(216,1),(220,1),(221,1),(320,1),(492,1)}
       174:{1,2,4,5}:{(132,1),(133,1),(217,1),(220,1),(221,1),(222,1)}
       175:{1,2,3,5}:{(133,1),(134,1),(221,1),(222,1)}
       176:{1,4,5,6,7}:{(135,1),(150,1),(223,1),(252,1),(343,1),(500,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(137,1),(151,1),(225,1)}
       178:{2,4,6,7}:{(136,1),(138,1),(141,1),(225,1),(226,1),(231,1)}
       179:{1,3,4,5,6}:{(137,1),(142,1),(153,1),(224,1),(227,1),(247,1),(328,1),(348,1),(428,1),(542,1)}
       180:{2,5,6}:{(137,1),(138,1),(225,1),(228,1)}
       181:{1,4,6}:{(138,1),(139,1),(144,1),(228,1)}
       182:{1,2,4,5,7}:{(139,1),(145,1),(156,1),(229,1),(230,1),(238,1),(240,1),(269,1),(326,1),(333,1),(339,1),(362,1),(424,1),(429,1),(519,1),(521,1)}
       183:{1,3,4,7}:{(140,1),(142,1),(231,1),(356,1),(442,1)}
       184:{2,3,5,7}:{(140,1),(141,1),(143,1),(225,1),(231,1),(232,1),(422,1),(431,1)}
       185:{1,3,6,7}:{(141,1),(144,1),(226,1),(232,1),(233,1)}
       186:{2,4,6}:{(142,1),(143,1),(146,1),(231,1),(235,1)}
       187:{1,3,5,6}:{(143,1),(144,1),(147,1),(228,1),(232,1),(235,1),(236,1),(337,1)}
       188:{1,2,6}:{(144,1),(145,1)}
       189:{1,2,3,5,7}:{(145,1),(149,1),(230,1),(237,1),(238,1),(241,1),(339,1),(370,1),(456,1),(521,1)}
       190:{2,3,4,5}:{(146,1),(234,1),(239,1),(341,1),(445,1),(506,1)}
       191:{1,4,5}:{(146,1),(147,1),(235,1)}
       192:{1,2,5}:{(147,1),(148,1)}
       193:{1,2,3,6}:{(148,1),(149,1),(241,1),(337,1)}
       194:{3,5,6,7}:{(150,1),(151,1),(242,1),(440,1),(513,1)}
       195:{3,4,5,7}:{(151,1),(153,1),(242,1),(244,1),(442,1),(513,1)}
       196:{2,3,5,7}:{(151,1),(152,1),(154,1),(159,1),(225,1),(244,1),(245,1),(513,1),(517,1),(541,1)}
       197:{1,3,4,6,7}:{(152,1),(155,1),(160,1),(226,1),(245,1),(246,1),(256,1),(261,1),(327,1),(332,1),(343,1),(351,1),(356,1),(419,1),(424,1),(440,1),(442,1),(516,1),(540,1)}
       198:{2,4,5,6}:{(153,1),(154,1),(244,1),(247,1),(349,1)}
       199:{1,3,5,6}:{(154,1),(155,1),(162,1),(228,1),(245,1),(247,1),(248,1),(348,1),(547,1),(552,1)}
       200:{2,4,6}:{(155,1),(156,1),(248,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(164,1),(230,1),(249,1),(250,1),(270,1),(341,1),(350,1),(363,1),(431,1)}
       202:{1,3,4,6,7}:{(157,1),(158,1),(242,1),(251,1),(343,1),(351,1),(440,1)}
       203:{2,5,6,7}:{(157,1),(159,1),(251,1),(252,1),(517,1)}
       204:{2,4,5,7}:{(158,1),(159,1),(161,1),(165,1),(251,1),(253,1),(254,1),(354,1),(451,1),(517,1)}
       205:{1,5,7}:{(159,1),(160,1),(162,1)}
       206:{1,2,4,6,7}:{(160,1),(163,1),(167,1),(246,1),(255,1),(256,1),(262,1),(356,1),(430,1),(497,1),(540,1)}
       207:{2,3,5,6}:{(161,1),(168,1),(253,1),(257,1),(348,1)}
       208:{1,4,5,6}:{(161,1),(162,1),(169,1),(254,1),(257,1),(454,1),(547,1)}
       209:{1,2,5,6}:{(162,1),(163,1),(248,1),(255,1),(259,1),(268,1),(552,1)}
       210:{1,3,6}:{(163,1),(164,1),(249,1)}
       211:{1,3,4,7}:{(164,1),(172,1),(250,1),(260,1),(271,1),(356,1),(439,1)}
       212:{2,3,4,7}:{(165,1),(168,1),(253,1),(261,1),(363,1),(442,1),(451,1)}
       213:{1,4,7}:{(165,1),(166,1),(169,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(170,1),(262,1),(354,1)}
       215:{1,2,3,6,7}:{(167,1),(171,1),(256,1),(263,1),(264,1),(447,1),(459,1),(507,1)}
       216:{1,3,4,6}:{(168,1),(169,1),(173,1),(257,1),(261,1),(265,1),(266,1),(367,1),(454,1)}
       217:{1,2,4,6}:{(169,1),(170,1),(174,1),(262,1),(265,1),(266,1)}
       218:{1,2,3,5,6}:{(170,1),(171,1),(175,1),(259,1),(263,1),(266,1),(267,1),(268,1),(359,1),(366,1),(369,1),(459,1)}
       219:{1,2,4,6}:{(171,1),(172,1),(260,1),(268,1)}
       220:{2,4,5}:{(173,1),(265,1),(270,1)}
       221:{1,3,5}:{(174,1),(266,1),(270,1),(271,1)}
       222:{1,2,4}:{(175,1),(271,1)}
       223:{1,3,5,6,7}:{(176,1),(177,1),(194,1),(272,1),(273,1),(525,1)}
       224:{1,3,4,5,7}:{(177,1),(179,1),(183,1),(195,1),(272,1),(274,1),(295,1),(375,1),(395,1),(467,1),(525,1)}
       225:{2,5,7}:{(177,1),(178,1),(180,1),(275,1)}
       226:{1,4,6,7}:{(178,1),(181,1),(185,1),(275,1),(283,1)}
       227:{2,4,5,6}:{(179,1),(180,1),(186,1),(274,1),(277,1),(278,1),(379,1),(471,1),(549,1)}
       228:{1,5,6}:{(180,1),(181,1),(275,1)}
       229:{1,2,4,6}:{(181,1),(182,1),(188,1),(200,1),(279,1),(280,1),(381,1),(538,1),(539,1)}
       230:{1,3,5,7}:{(182,1),(201,1),(280,1),(281,1),(291,1),(320,1),(382,1),(384,1),(411,1)}
       231:{2,4,7}:{(183,1),(184,1),(186,1),(283,1)}
       232:{1,3,5,7}:{(184,1),(185,1),(187,1),(275,1),(283,1),(284,1),(384,1)}
       233:{1,2,6,7}:{(185,1),(188,1),(284,1),(462,1)}
       234:{2,3,4,6}:{(186,1),(190,1),(277,1),(282,1),(286,1),(388,1),(398,1),(471,1)}
       235:{1,4,6}:{(186,1),(187,1),(191,1),(283,1)}
       236:{1,2,5,6}:{(187,1),(188,1),(192,1),(284,1),(287,1),(379,1)}
       237:{1,2,3,6}:{(188,1),(189,1),(280,1),(289,1),(539,1)}
       238:{1,2,4,7}:{(189,1),(281,1),(289,1),(292,1),(418,1)}
       239:{1,3,4,5}:{(190,1),(191,1),(286,1),(290,1),(291,1),(391,1),(530,1)}
       240:{1,2,4,5}:{(191,1),(192,1),(287,1),(290,1),(291,1),(292,1)}
       241:{1,2,3,5}:{(192,1),(193,1),(291,1),(292,1)}
       242:{3,4,6,7}:{(194,1),(195,1),(293,1)}
       243:{2,3,5,6,7}:{(194,1),(196,1),(203,1),(273,1),(293,1),(294,1),(301,1),(372,1)}
       244:{2,4,5,7}:{(195,1),(196,1),(198,1),(293,1),(295,1),(396,1)}
       245:{1,3,5,7}:{(196,1),(197,1),(199,1),(205,1),(275,1),(295,1),(296,1),(395,1),(536,1),(548,1)}
       246:{2,4,6,7}:{(197,1),(200,1),(296,1),(297,1),(312,1),(383,1),(396,1),(400,1),(462,1)}
       247:{1,4,5,6}:{(198,1),(199,1),(295,1),(298,1),(310,1),(381,1)}
       248:{2,5,6}:{(199,1),(200,1),(296,1)}
       249:{2,3,6}:{(200,1),(201,1),(210,1),(280,1)}
       250:{2,3,4,7}:{(201,1),(211,1),(281,1),(300,1),(321,1),(392,1),(396,1)}
       251:{2,4,6,7}:{(202,1),(203,1),(204,1),(301,1),(302,1),(400,1)}
       252:{1,5,6,7}:{(203,1),(205,1),(302,1),(536,1)}
       253:{2,3,5,7}:{(204,1),(207,1),(212,1),(301,1),(304,1),(395,1)}
       254:{1,4,5,7}:{(204,1),(205,1),(208,1),(213,1),(302,1),(304,1),(489,1),(536,1)}
       255:{1,2,5,7}:{(205,1),(206,1),(209,1),(296,1),(306,1),(548,1)}
       256:{1,3,6,7}:{(206,1),(210,1),(297,1),(306,1),(313,1),(473,1)}
       257:{1,3,5,6}:{(207,1),(208,1),(216,1),(304,1),(308,1)}
       258:{1,2,4,5,6}:{(208,1),(209,1),(217,1),(298,1),(305,1),(308,1),(309,1),(310,1),(319,1),(409,1),(414,1),(488,1),(537,1)}
       259:{1,3,5,6}:{(209,1),(210,1),(299,1),(306,1),(310,1),(311,1)}
       260:{1,3,4,6}:{(210,1),(211,1),(219,1),(300,1),(310,1),(311,1)}
       261:{1,3,4,7}:{(212,1),(213,1),(216,1),(304,1),(312,1),(313,1),(411,1),(489,1)}
       262:{1,2,4,7}:{(213,1),(214,1),(217,1),(312,1),(313,1)}
       263:{1,2,3,5,7}:{(214,1),(215,1),(218,1),(306,1),(313,1),(314,1),(315,1),(404,1),(413,1)}
       264:{1,2,4,6,7}:{(215,1),(219,1),(307,1),(314,1),(315,1),(414,1),(486,1),(531,1),(551,1)}
       265:{2,4,6}:{(216,1),(220,1),(308,1),(312,1),(317,1)}
       266:{1,3,6}:{(217,1),(221,1),(313,1),(317,1)}
       267:{1,2,4,6}:{(218,1),(222,1),(310,1),(314,1),(318,1),(319,1),(409,1)}
       268:{1,2,5}:{(219,1),(311,1)}
       269:{1,2,4,5}:{(220,1),(316,1),(320,1),(418,1),(492,1),(496,1)}
       270:{2,3,5}:{(220,1),(221,1),(317,1),(320,1),(321,1)}
       271:{1,3,4}:{(221,1),(222,1),(321,1)}
       272:{1,3,4,6,7}:{(223,1),(224,1),(242,1),(322,1),(343,1),(419,1),(440,1)}
       273:{2,5,6,7}:{(223,1),(225,1),(322,1),(323,1),(541,1)}
       274:{2,4,5,7}:{(224,1),(225,1),(227,1),(231,1),(322,1),(324,1),(325,1),(422,1),(502,1),(541,1)}
       275:{1,5,7}:{(225,1),(226,1),(228,1)}
       276:{1,2,4,6,7}:{(226,1),(229,1),(233,1),(246,1),(326,1),(327,1),(333,1),(362,1),(424,1),(446,1),(516,1)}
       277:{2,3,5,6}:{(227,1),(234,1),(324,1),(328,1),(348,1)}
       278:{1,4,5,6}:{(227,1),(228,1),(235,1),(325,1),(328,1),(505,1),(552,1)}
       279:{1,2,5,6}:{(228,1),(229,1),(248,1),(326,1),(330,1),(339,1),(547,1)}
       280:{1,3,6}:{(229,1),(230,1),(249,1)}
       281:{1,3,4,7}:{(230,1),(238,1),(250,1),(331,1),(342,1),(371,1),(424,1)}
       282:{2,3,4,7}:{(231,1),(234,1),(324,1),(332,1),(431,1),(442,1),(502,1)}
       283:{1,4,7}:{(231,1),(232,1),(235,1)}
       284:{1,2,5,7}:{(232,1),(233,1),(236,1),(333,1),(422,1)}
       285:{1,2,3,6,7}:{(233,1),(237,1),(327,1),(334,1),(335,1),(456,1),(498,1),(510,1)}
       286:{1,3,4,6}:{(234,1),(235,1),(239,1),(328,1),(332,1),(336,1),(337,1),(435,1),(505,1)}
       287:{1,2,4,6}:{(235,1),(236,1),(240,1),(333,1),(336,1),(337,1)}
       288:{1,2,3,5,6}:{(236,1),(237,1),(241,1),(330,1),(334,1),(337,1),(338,1),(339,1),(427,1),(434,1),(437,1),(510,1)}
       289:{1,2,4,6}:{(237,1),(238,1),(331,1),(339,1)}
       290:{2,4,5}:{(239,1),(336,1),(341,1)}
       291:{1,3,5}:{(240,1),(337,1),(341,1),(342,1)}
       292:{1,2,4}:{(241,1),(342,1)}
       293:{2,4,6,7}:{(242,1),(243,1),(244,1),(343,1)}
       294:{1,3,5,6,7}:{(243,1),(245,1),(252,1),(323,1),(343,1),(344,1),(351,1),(419,1),(440,1)}
       295:{1,4,5,7}:{(244,1),(245,1),(247,1),(343,1),(345,1),(356,1),(424,1)}
       296:{2,5,7}:{(245,1),(246,1),(248,1)}
       297:{2,3,6,7}:{(246,1),(249,1),(256,1),(327,1),(346,1),(363,1),(431,1),(440,1)}
       298:{2,4,5,6}:{(247,1),(248,1),(345,1),(348,1),(349,1)}
       299:{2,3,5,6}:{(248,1),(249,1),(259,1),(330,1),(346,1),(348,1),(349,1),(350,1)}
       300:{2,3,4,6}:{(249,1),(250,1),(260,1),(331,1),(349,1),(350,1)}
       301:{2,3,6,7}:{(251,1),(253,1),(351,1),(440,1)}
       302:{1,4,6,7}:{(251,1),(252,1),(254,1),(351,1)}
       303:{1,2,5,6,7}:{(252,1),(255,1),(344,1),(352,1),(353,1),(366,1),(497,1),(517,1)}
       304:{1,3,5,7}:{(253,1),(254,1),(257,1),(261,1),(351,1),(354,1)}
       305:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(262,1),(345,1),(352,1),(354,1),(355,1),(356,1),(449,1),(451,1),(517,1)}
       306:{1,3,5,7}:{(255,1),(256,1),(259,1),(346,1),(356,1)}
       307:{1,3,4,6,7}:{(256,1),(260,1),(264,1),(347,1),(356,1),(357,1),(364,1),(453,1),(459,1),(508,1),(540,1),(546,1)}
       308:{2,5,6}:{(257,1),(265,1),(354,1)}
       309:{1,3,5,6}:{(258,1),(266,1),(348,1),(355,1),(359,1),(360,1),(369,1),(459,1)}
       310:{1,4,6}:{(259,1),(349,1),(356,1),(361,1)}
       311:{1,3,5}:{(260,1),(268,1),(350,1),(361,1)}
       312:{2,4,7}:{(261,1),(265,1),(354,1),(363,1)}
       313:{1,3,7}:{(262,1),(266,1),(363,1)}
       314:{1,2,4,7}:{(263,1),(267,1),(356,1),(364,1),(451,1)}
       315:{1,2,5,7}:{(264,1),(268,1),(357,1),(366,1),(517,1)}
       316:{1,2,4,6}:{(265,1),(269,1),(358,1),(362,1),(367,1),(454,1)}
       317:{2,3,6}:{(265,1),(266,1),(270,1),(363,1),(367,1)}
       318:{1,3,4,6}:{(266,1),(267,1),(271,1),(364,1),(368,1),(369,1),(459,1)}
       319:{1,2,4,5}:{(267,1),(268,1),(361,1),(369,1),(455,1)}
       320:{1,3,5}:{(269,1),(270,1),(367,1),(371,1)}
       321:{2,3,4}:{(270,1),(271,1),(371,1)}
       322:{2,4,6,7}:{(272,1),(273,1),(274,1),(372,1),(373,1),(462,1)}
       323:{1,5,6,7}:{(273,1),(275,1),(373,1),(548,1)}
       324:{2,3,5,7}:{(274,1),(277,1),(282,1),(372,1),(375,1),(395,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(278,1),(283,1),(373,1),(375,1),(527,1),(548,1)}
       326:{1,2,5,7}:{(275,1),(276,1),(279,1),(296,1),(377,1),(536,1)}
       327:{1,3,6,7}:{(276,1),(280,1),(297,1),(377,1),(384,1),(411,1)}
       328:{1,3,5,6}:{(277,1),(278,1),(286,1),(375,1),(379,1)}
       329:{1,2,4,5,6}:{(278,1),(279,1),(287,1),(298,1),(376,1),(379,1),(380,1),(381,1),(390,1),(471,1),(476,1),(526,1),(549,1)}
       330:{1,3,5,6}:{(279,1),(280,1),(299,1),(377,1),(381,1),(382,1)}
       331:{1,3,4,6}:{(280,1),(281,1),(289,1),(300,1),(381,1),(382,1)}
       332:{1,3,4,7}:{(282,1),(283,1),(286,1),(375,1),(383,1),(384,1),(473,1),(527,1)}
       333:{1,2,4,7}:{(283,1),(284,1),(287,1),(383,1),(384,1)}
       334:{1,2,3,5,7}:{(284,1),(285,1),(288,1),(377,1),(384,1),(385,1),(386,1),(466,1),(475,1)}
       335:{1,2,4,6,7}:{(285,1),(289,1),(378,1),(385,1),(386,1),(476,1),(493,1),(524,1),(539,1)}
       336:{2,4,6}:{(286,1),(290,1),(379,1),(383,1),(388,1)}
       337:{1,3,6}:{(287,1),(291,1),(384,1),(388,1)}
       338:{1,2,4,6}:{(288,1),(292,1),(381,1),(385,1),(389,1),(390,1),(471,1)}
       339:{1,2,5}:{(289,1),(382,1)}
       340:{1,2,4,5}:{(290,1),(387,1),(391,1),(480,1),(530,1),(534,1)}
       341:{2,3,5}:{(290,1),(291,1),(388,1),(391,1),(392,1)}
       342:{1,3,4}:{(291,1),(292,1),(392,1)}
       343:{1,4,6,7}:{(293,1),(294,1),(295,1),(393,1)}
       344:{2,5,6,7}:{(294,1),(296,1),(393,1),(400,1),(462,1)}
       345:{2,4,5,7}:{(295,1),(296,1),(298,1),(393,1),(395,1),(396,1)}
       346:{2,3,5,7}:{(296,1),(297,1),(299,1),(306,1),(377,1),(395,1),(396,1)}
       347:{2,3,4,6,7}:{(297,1),(300,1),(307,1),(378,1),(396,1),(397,1),(412,1),(474,1),(481,1),(484,1),(486,1),(495,1),(524,1),(533,1)}
       348:{3,5,6}:{(298,1),(395,1),(398,1)}
       349:{2,4,6}:{(299,1),(310,1),(381,1),(396,1),(398,1),(399,1)}
       350:{2,3,5}:{(300,1),(311,1),(382,1),(399,1)}
       351:{1,3,6,7}:{(301,1),(302,1),(304,1),(400,1)}
       352:{1,2,4,6,7}:{(302,1),(303,1),(305,1),(393,1),(400,1),(401,1),(402,1),(414,1),(486,1)}
       353:{1,3,5,6,7}:{(303,1),(306,1),(394,1),(401,1),(402,1),(407,1),(487,1),(523,1),(548,1)}
       354:{2,5,7}:{(304,1),(308,1),(312,1),(400,1)}
       355:{1,3,5,7}:{(305,1),(309,1),(313,1),(395,1),(401,1),(404,1),(405,1)}
       356:{1,4,7}:{(306,1),(310,1),(396,1)}
       357:{1,3,5,7}:{(307,1),(311,1),(315,1),(397,1),(406,1),(407,1),(548,1)}
       358:{1,2,5,6}:{(308,1),(316,1),(403,1),(408,1),(496,1),(539,1)}
       359:{2,3,5,6}:{(308,1),(309,1),(317,1),(404,1),(408,1),(409,1),(417,1),(495,1),(537,1)}
       360:{1,3,4,6}:{(309,1),(310,1),(398,1),(405,1),(409,1),(410,1)}
       361:{1,4,5}:{(310,1),(311,1),(399,1)}
       362:{1,2,4,7}:{(312,1),(316,1),(403,1),(411,1),(489,1)}
       363:{2,3,7}:{(312,1),(313,1),(317,1),(411,1)}
       364:{1,3,4,7}:{(313,1),(314,1),(318,1),(412,1),(413,1)}
       365:{1,2,4,5,7}:{(314,1),(315,1),(319,1),(406,1),(413,1),(414,1),(490,1)}
       366:{1,2,5,6}:{(315,1),(407,1),(414,1),(537,1),(551,1)}
       367:{1,3,6}:{(316,1),(317,1),(320,1),(411,1)}
       368:{2,3,4,6}:{(317,1),(318,1),(321,1),(409,1),(412,1),(416,1),(417,1),(495,1)}
       369:{1,3,5}:{(318,1),(319,1),(417,1)}
       370:{1,2,3,5}:{(320,1),(415,1),(418,1),(496,1)}
       371:{1,3,4}:{(320,1),(321,1),(418,1)}
       372:{2,3,6,7}:{(322,1),(324,1),(419,1),(440,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(325,1),(419,1)}
       374:{1,2,5,6,7}:{(323,1),(326,1),(344,1),(420,1),(421,1),(434,1),(446,1),(541,1)}
       375:{1,3,5,7}:{(324,1),(325,1),(328,1),(332,1),(419,1),(422,1)}
       376:{1,2,4,5,7}:{(325,1),(326,1),(329,1),(333,1),(345,1),(420,1),(422,1),(423,1),(424,1),(500,1),(502,1),(541,1)}
       377:{1,3,5,7}:{(326,1),(327,1),(330,1),(346,1),(424,1)}
       378:{1,3,4,6,7}:{(327,1),(331,1),(335,1),(347,1),(424,1),(425,1),(432,1),(457,1),(504,1),(510,1),(516,1),(522,1)}
       379:{2,5,6}:{(328,1),(336,1),(422,1)}
       380:{1,3,5,6}:{(329,1),(337,1),(348,1),(423,1),(427,1),(428,1),(437,1),(510,1)}
       381:{1,4,6}:{(330,1),(349,1),(424,1),(429,1)}
       382:{1,3,5}:{(331,1),(339,1),(350,1),(429,1)}
       383:{2,4,7}:{(332,1),(336,1),(422,1),(431,1)}
       384:{1,3,7}:{(333,1),(337,1),(431,1)}
       385:{1,2,4,7}:{(334,1),(338,1),(424,1),(432,1),(502,1)}
       386:{1,2,5,7}:{(335,1),(339,1),(425,1),(434,1),(541,1)}
       387:{1,2,4,6}:{(336,1),(340,1),(426,1),(430,1),(435,1),(505,1)}
       388:{2,3,6}:{(336,1),(337,1),(341,1),(431,1),(435,1)}
       389:{1,3,4,6}:{(337,1),(338,1),(342,1),(432,1),(436,1),(437,1),(510,1)}
       390:{1,2,4,5}:{(338,1),(339,1),(429,1),(437,1),(506,1)}
       391:{1,3,5}:{(340,1),(341,1),(435,1),(439,1)}
       392:{2,3,4}:{(341,1),(342,1),(439,1)}
       393:{2,4,6,7}:{(343,1),(344,1),(345,1),(440,1)}
       394:{2,3,5,6,7}:{(344,1),(346,1),(353,1),(421,1),(440,1),(441,1),(444,1),(447,1),(498,1),(513,1),(517,1),(541,1)}
       395:{3,5,7}:{(345,1),(348,1),(440,1),(442,1)}
       396:{2,4,7}:{(346,1),(349,1),(356,1),(424,1),(442,1)}
       397:{2,3,5,7}:{(347,1),(350,1),(357,1),(425,1),(443,1),(444,1),(513,1),(517,1),(541,1)}
       398:{3,4,6}:{(348,1),(349,1),(442,1),(445,1)}
       399:{2,4,5}:{(349,1),(350,1),(361,1),(429,1),(445,1)}
       400:{2,6,7}:{(351,1),(354,1)}
       401:{1,3,6,7}:{(352,1),(355,1),(440,1),(447,1),(459,1)}
       402:{1,4,6,7}:{(353,1),(356,1),(441,1),(449,1),(453,1)}
       403:{1,2,5,7}:{(354,1),(358,1),(362,1),(446,1),(450,1)}
       404:{2,3,5,7}:{(354,1),(355,1),(359,1),(363,1),(447,1),(450,1),(451,1),(517,1)}
       405:{1,3,4,7}:{(355,1),(356,1),(360,1),(442,1),(451,1)}
       406:{1,4,5,7}:{(356,1),(357,1),(361,1),(443,1),(453,1)}
       407:{1,3,5,6}:{(357,1),(366,1),(444,1),(453,1),(459,1),(546,1),(552,1)}
       408:{1,3,5,6}:{(358,1),(359,1),(367,1),(450,1),(454,1),(461,1),(522,1),(547,1)}
       409:{2,4,6}:{(359,1),(360,1),(451,1),(454,1),(455,1)}
       410:{1,3,4,5}:{(360,1),(361,1),(369,1),(445,1),(455,1)}
       411:{1,3,7}:{(362,1),(363,1),(367,1)}
       412:{2,3,4,7}:{(363,1),(364,1),(368,1),(451,1),(457,1),(458,1)}
       413:{1,3,5,7}:{(364,1),(365,1),(369,1),(458,1),(459,1)}
       414:{1,2,4,6}:{(365,1),(366,1),(453,1),(459,1),(520,1)}
       415:{1,2,3,6}:{(367,1),(370,1),(456,1),(460,1)}
       416:{1,3,4,6}:{(367,1),(368,1),(371,1),(454,1),(457,1),(460,1),(461,1),(522,1)}
       417:{2,3,5}:{(368,1),(369,1),(455,1),(461,1)}
       418:{1,2,4}:{(370,1),(371,1)}
       419:{1,3,6,7}:{(372,1),(373,1),(375,1),(462,1)}
       420:{1,2,4,6,7}:{(373,1),(374,1),(376,1),(393,1),(462,1),(463,1),(464,1),(476,1),(524,1)}
       421:{1,3,5,6,7}:{(374,1),(377,1),(394,1),(463,1),(464,1),(469,1),(485,1),(525,1),(536,1)}
       422:{2,5,7}:{(375,1),(379,1),(383,1),(462,1)}
       423:{1,3,5,7}:{(376,1),(380,1),(384,1),(395,1),(463,1),(466,1),(467,1)}
       424:{1,4,7}:{(377,1),(381,1),(396,1)}
       425:{1,3,5,7}:{(378,1),(382,1),(386,1),(397,1),(468,1),(469,1),(536,1)}
       426:{1,2,5,6}:{(379,1),(387,1),(465,1),(470,1),(534,1),(551,1)}
       427:{2,3,5,6}:{(379,1),(380,1),(388,1),(466,1),(470,1),(471,1),(479,1),(533,1),(549,1)}
       428:{1,3,4,6}:{(380,1),(381,1),(398,1),(467,1),(471,1),(472,1)}
       429:{1,4,5}:{(381,1),(382,1),(399,1)}
       430:{1,2,4,7}:{(383,1),(387,1),(465,1),(473,1),(527,1)}
       431:{2,3,7}:{(383,1),(384,1),(388,1),(473,1)}
       432:{1,3,4,7}:{(384,1),(385,1),(389,1),(474,1),(475,1)}
       433:{1,2,4,5,7}:{(385,1),(386,1),(390,1),(468,1),(475,1),(476,1),(528,1)}
       434:{1,2,5,6}:{(386,1),(469,1),(476,1),(539,1),(549,1)}
       435:{1,3,6}:{(387,1),(388,1),(391,1),(473,1)}
       436:{2,3,4,6}:{(388,1),(389,1),(392,1),(471,1),(474,1),(478,1),(479,1),(533,1)}
       437:{1,3,5}:{(389,1),(390,1),(479,1)}
       438:{1,2,3,5}:{(391,1),(477,1),(480,1),(534,1)}
       439:{1,3,4}:{(391,1),(392,1),(480,1)}
       440:{3,6,7}:{(393,1),(395,1)}
       441:{2,4,6,7}:{(394,1),(396,1),(402,1),(464,1),(481,1),(482,1),(484,1)}
       442:{3,4,7}:{(395,1),(396,1),(398,1)}
       443:{2,4,5,7}:{(396,1),(397,1),(399,1),(406,1),(468,1),(483,1),(484,1)}
       444:{2,3,5,6}:{(397,1),(407,1),(469,1),(484,1),(495,1),(533,1),(535,1),(537,1),(549,1)}
       445:{3,4,5}:{(398,1),(399,1)}
       446:{1,2,6,7}:{(400,1),(403,1),(485,1),(539,1)}
       447:{2,3,6,7}:{(400,1),(401,1),(404,1),(485,1),(486,1),(495,1)}
       448:{1,3,4,6,7}:{(401,1),(402,1),(405,1),(481,1),(486,1),(487,1),(491,1)}
       449:{1,4,5,7}:{(402,1),(482,1),(487,1),(488,1),(548,1)}
       450:{1,3,5,7}:{(403,1),(404,1),(408,1),(411,1),(485,1),(489,1),(536,1)}
       451:{2,4,7}:{(404,1),(405,1),(409,1),(489,1)}
       452:{1,3,4,5,7}:{(405,1),(406,1),(410,1),(413,1),(483,1),(487,1),(490,1),(491,1)}
       453:{1,4,6}:{(406,1),(407,1),(484,1)}
       454:{1,4,6}:{(408,1),(409,1),(489,1),(492,1)}
       455:{2,4,5}:{(409,1),(410,1),(417,1),(492,1)}
       456:{1,2,3,7}:{(411,1),(415,1),(493,1)}
       457:{1,3,4,7}:{(411,1),(412,1),(416,1),(489,1),(493,1),(494,1)}
       458:{2,3,5,7}:{(412,1),(413,1),(417,1),(490,1),(494,1),(495,1)}
       459:{1,3,6}:{(413,1),(414,1),(495,1)}
       460:{1,2,4,6}:{(415,1),(416,1),(418,1),(493,1),(496,1),(539,1)}
       461:{1,3,5}:{(416,1),(417,1),(492,1),(496,1)}
       462:{2,6,7}:{(419,1),(422,1)}
       463:{1,3,6,7}:{(420,1),(423,1),(440,1),(498,1),(510,1)}
       464:{1,4,6,7}:{(421,1),(424,1),(441,1),(500,1),(504,1)}
       465:{1,2,5,7}:{(422,1),(426,1),(430,1),(497,1),(501,1)}
       466:{2,3,5,7}:{(422,1),(423,1),(427,1),(431,1),(498,1),(501,1),(502,1),(541,1)}
       467:{1,3,4,7}:{(423,1),(424,1),(428,1),(442,1),(502,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(429,1),(443,1),(504,1)}
       469:{1,3,5,6}:{(425,1),(434,1),(444,1),(504,1),(510,1),(522,1),(547,1)}
       470:{1,3,5,6}:{(426,1),(427,1),(435,1),(501,1),(505,1),(512,1),(546,1),(552,1)}
       471:{2,4,6}:{(427,1),(428,1),(502,1),(505,1),(506,1)}
       472:{1,3,4,5}:{(428,1),(429,1),(437,1),(445,1),(506,1)}
       473:{1,3,7}:{(430,1),(431,1),(435,1)}
       474:{2,3,4,7}:{(431,1),(432,1),(436,1),(502,1),(508,1),(509,1)}
       475:{1,3,5,7}:{(432,1),(433,1),(437,1),(509,1),(510,1)}
       476:{1,2,4,6}:{(433,1),(434,1),(504,1),(510,1),(544,1)}
       477:{1,2,3,6}:{(435,1),(438,1),(507,1),(511,1)}
       478:{1,3,4,6}:{(435,1),(436,1),(439,1),(505,1),(508,1),(511,1),(512,1),(546,1)}
       479:{2,3,5}:{(436,1),(437,1),(506,1),(512,1)}
       480:{1,2,4}:{(438,1),(439,1)}
       481:{3,4,6,7}:{(440,1),(441,1),(442,1),(513,1),(515,1)}
       482:{2,4,5,7}:{(441,1),(449,1),(500,1),(513,1),(514,1),(517,1),(541,1)}
       483:{3,4,5,7}:{(442,1),(443,1),(445,1),(513,1),(515,1)}
       484:{2,4,6}:{(443,1),(444,1),(453,1),(504,1),(515,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(450,1),(516,1),(522,1)}
       486:{2,4,6,7}:{(447,1),(448,1),(451,1),(516,1),(517,1),(520,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(513,1),(517,1),(518,1)}
       488:{1,4,5,6}:{(449,1),(453,1),(514,1),(518,1),(552,1)}
       489:{1,4,7}:{(450,1),(451,1),(454,1)}
       490:{2,4,5,7}:{(451,1),(452,1),(455,1),(458,1),(517,1),(519,1),(520,1)}
       491:{1,3,4,6}:{(452,1),(453,1),(459,1),(515,1),(518,1),(520,1)}
       492:{1,4,5}:{(454,1),(455,1),(461,1)}
       493:{1,2,4,7}:{(456,1),(457,1),(460,1),(521,1)}
       494:{1,3,5,7}:{(457,1),(458,1),(461,1),(519,1),(521,1),(522,1)}
       495:{2,3,6}:{(458,1),(459,1),(520,1),(522,1)}
       496:{1,2,5}:{(460,1),(461,1)}
       497:{1,2,6,7}:{(462,1),(465,1),(523,1),(551,1)}
       498:{2,3,6,7}:{(462,1),(463,1),(466,1),(523,1),(524,1),(533,1)}
       499:{1,3,4,6,7}:{(463,1),(464,1),(467,1),(481,1),(524,1),(525,1),(529,1)}
       500:{1,4,5,7}:{(464,1),(482,1),(525,1),(526,1),(536,1)}
       501:{1,3,5,7}:{(465,1),(466,1),(470,1),(473,1),(523,1),(527,1),(548,1)}
       502:{2,4,7}:{(466,1),(467,1),(471,1),(527,1)}
       503:{1,3,4,5,7}:{(467,1),(468,1),(472,1),(475,1),(483,1),(525,1),(528,1),(529,1)}
       504:{1,4,6}:{(468,1),(469,1),(484,1)}
       505:{1,4,6}:{(470,1),(471,1),(527,1),(530,1)}
       506:{2,4,5}:{(471,1),(472,1),(479,1),(530,1)}
       507:{1,2,3,7}:{(473,1),(477,1),(531,1)}
       508:{1,3,4,7}:{(473,1),(474,1),(478,1),(527,1),(531,1),(532,1)}
       509:{2,3,5,7}:{(474,1),(475,1),(479,1),(528,1),(532,1),(533,1)}
       510:{1,3,6}:{(475,1),(476,1),(533,1)}
       511:{1,2,4,6}:{(477,1),(478,1),(480,1),(531,1),(534,1),(551,1)}
       512:{1,3,5}:{(478,1),(479,1),(530,1),(534,1)}
       513:{3,5,7}:{(481,1),(482,1),(535,1)}
       514:{2,4,5,6}:{(482,1),(484,1),(488,1),(526,1),(535,1),(537,1),(549,1)}
       515:{3,4,6}:{(483,1),(484,1),(535,1)}
       516:{1,4,6,7}:{(485,1),(486,1),(489,1),(536,1),(538,1)}
       517:{2,5,7}:{(486,1),(487,1),(536,1),(537,1)}
       518:{1,3,5,6}:{(487,1),(488,1),(491,1),(535,1),(537,1)}
       519:{1,4,5,7}:{(489,1),(490,1),(492,1),(494,1),(536,1),(538,1)}
       520:{2,4,6}:{(490,1),(491,1),(495,1),(537,1),(538,1)}
       521:{1,2,5,7}:{(493,1),(494,1),(496,1),(539,1)}
       522:{1,3,6}:{(494,1),(495,1),(538,1),(539,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(501,1),(540,1),(546,1)}
       524:{2,4,6,7}:{(498,1),(499,1),(502,1),(540,1),(541,1),(544,1)}
       525:{1,3,5,7}:{(499,1),(500,1),(513,1),(541,1),(542,1)}
       526:{1,4,5,6}:{(500,1),(504,1),(514,1),(542,1),(547,1)}
       527:{1,4,7}:{(501,1),(502,1),(505,1)}
       528:{2,4,5,7}:{(502,1),(503,1),(506,1),(509,1),(541,1),(543,1),(544,1)}
       529:{1,3,4,6}:{(503,1),(504,1),(510,1),(515,1),(542,1),(544,1)}
       530:{1,4,5}:{(505,1),(506,1),(512,1)}
       531:{1,2,4,7}:{(507,1),(508,1),(511,1),(545,1)}
       532:{1,3,5,7}:{(508,1),(509,1),(512,1),(543,1),(545,1),(546,1)}
       533:{2,3,6}:{(509,1),(510,1),(544,1),(546,1)}
       534:{1,2,5}:{(511,1),(512,1)}
       535:{3,5,6}:{(513,1),(514,1),(515,1)}
       536:{1,5,7}:{(516,1),(517,1),(547,1)}
       537:{2,5,6}:{(517,1),(518,1),(520,1),(547,1)}
       538:{1,4,6}:{(519,1),(520,1),(522,1),(547,1)}
       539:{1,2,6}:{(521,1),(522,1)}
       540:{1,4,6,7}:{(523,1),(524,1),(527,1),(548,1),(550,1)}
       541:{2,5,7}:{(524,1),(525,1),(548,1),(549,1)}
       542:{1,3,5,6}:{(525,1),(526,1),(529,1),(535,1),(549,1)}
       543:{1,4,5,7}:{(527,1),(528,1),(530,1),(532,1),(548,1),(550,1)}
       544:{2,4,6}:{(528,1),(529,1),(533,1),(549,1),(550,1)}
       545:{1,2,5,7}:{(531,1),(532,1),(534,1),(551,1)}
       546:{1,3,6}:{(532,1),(533,1),(550,1),(551,1)}
       547:{1,5,6}:{(536,1),(537,1),(538,1)}
       548:{1,5,7}:{(540,1),(541,1),(552,1)}
       549:{2,5,6}:{(541,1),(542,1),(544,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{1,2,6}:{(545,1),(546,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1354 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(50,1),(81,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(8,1),(29,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(109,1),(154,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(47,1),(84,1)}
         5:{1,3,4,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(44,1),(45,1),(50,1),(82,1),(135,1)}
         6:{1,2,4}:{(1,1),(15,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(167,1)}
         8:{1,2,5}:{(3,1),(14,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(22,1),(57,1)}
        10:{1,2,3,7}:{(4,1),(21,1),(112,1)}
        11:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(59,1),(72,1),(125,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(28,1),(56,1),(63,1),(64,1),(74,1),(111,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(23,1),(26,1),(70,1),(75,1),(155,1)}
        14:{1,3,5}:{(5,1),(8,1),(24,1),(25,1)}
        15:{1,3,4}:{(6,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(25,1),(29,1),(30,1),(67,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(26,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(30,1),(31,1),(32,1),(119,1),(154,1)}
        19:{1,3,4,6}:{(11,1),(12,1),(33,1),(34,1),(35,1),(48,1),(78,1),(79,1),(84,1),(101,1)}
        20:{1,2,4}:{(9,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(33,1),(37,1),(147,1)}
        22:{1,2,5}:{(11,1),(34,1)}
        23:{2,3,4,7}:{(12,1),(13,1),(33,1),(40,1),(91,1),(102,1),(136,1)}
        24:{2,3,5}:{(12,1),(14,1),(34,1),(39,1)}
        25:{1,4,5}:{(14,1),(39,1),(44,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(17,1),(40,1),(43,1),(45,1)}
        27:{1,3,5,6}:{(14,1),(18,1),(41,1),(44,1),(45,1),(46,1),(50,1),(98,1),(135,1),(162,1)}
        28:{2,3,4}:{(15,1),(48,1),(49,1)}
        29:{1,3,5}:{(15,1),(16,1),(49,1),(50,1)}
        30:{1,2,4,6}:{(16,1),(18,1),(44,1),(50,1),(51,1),(96,1)}
        31:{1,2,6}:{(17,1),(45,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(51,1),(52,1),(143,1),(167,1)}
        33:{1,3,4,7}:{(19,1),(21,1),(23,1),(54,1),(107,1),(112,1),(126,1)}
        34:{1,3,5}:{(19,1),(22,1),(24,1),(53,1)}
        35:{1,3,4}:{(20,1),(56,1),(57,1)}
        36:{1,2,4,5}:{(20,1),(22,1),(53,1),(57,1),(58,1),(104,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(54,1),(59,1)}
        38:{1,2,5,6}:{(22,1),(55,1),(58,1),(59,1),(60,1),(125,1),(148,1)}
        39:{2,4,5}:{(24,1),(25,1),(53,1),(61,1),(63,1)}
        40:{2,3,5,7}:{(23,1),(24,1),(26,1),(54,1),(62,1),(64,1)}
        41:{2,3,5,6}:{(24,1),(27,1),(55,1),(63,1),(64,1),(65,1),(74,1),(111,1),(113,1),(117,1),(119,1),(148,1)}
        42:{1,3,4,5}:{(25,1),(29,1),(61,1),(67,1),(68,1)}
        43:{1,4,5,7}:{(25,1),(26,1),(62,1),(69,1),(70,1),(124,1)}
        44:{1,4,6}:{(25,1),(27,1),(63,1),(70,1)}
        45:{1,3,6}:{(26,1),(31,1),(64,1),(69,1)}
        46:{1,3,5,7}:{(27,1),(32,1),(65,1),(70,1),(71,1),(75,1),(124,1),(155,1),(171,1)}
        47:{1,2,3}:{(72,1)}
        48:{1,3,4}:{(28,1),(72,1),(73,1)}
        49:{2,3,5}:{(28,1),(29,1),(67,1),(73,1),(74,1)}
        50:{1,3,6}:{(29,1),(30,1),(74,1),(75,1)}
        51:{1,2,4,7}:{(30,1),(32,1),(70,1),(75,1),(123,1)}
        52:{1,2,6,7}:{(31,1),(32,1),(71,1),(161,1)}
        53:{1,4,5}:{(34,1),(39,1),(78,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(37,1),(40,1),(77,1),(79,1)}
        55:{1,3,5,6}:{(34,1),(38,1),(41,1),(78,1),(79,1),(80,1),(84,1),(101,1),(132,1),(142,1)}
        56:{2,3,4}:{(35,1),(82,1),(83,1)}
        57:{1,3,5}:{(35,1),(36,1),(83,1),(84,1)}
        58:{1,2,4,6}:{(36,1),(38,1),(78,1),(84,1),(85,1),(130,1)}
        59:{1,2,6}:{(37,1),(79,1)}
        60:{1,2,5,7}:{(38,1),(80,1),(85,1),(86,1),(147,1),(163,1)}
        61:{3,4,5}:{(39,1),(89,1)}
        62:{2,4,5,7}:{(39,1),(40,1),(43,1),(77,1),(88,1),(90,1),(91,1),(141,1)}
        63:{2,4,6}:{(39,1),(41,1),(44,1),(78,1),(89,1),(91,1)}
        64:{2,3,6}:{(40,1),(45,1),(79,1),(90,1)}
        65:{2,3,5,7}:{(41,1),(46,1),(80,1),(91,1),(92,1),(102,1),(136,1),(137,1),(141,1),(143,1),(163,1)}
        66:{1,4,5,6}:{(44,1),(87,1),(93,1),(94,1),(98,1),(162,1)}
        67:{2,4,5}:{(42,1),(49,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(42,1),(44,1),(50,1),(89,1),(93,1),(96,1),(97,1)}
        69:{1,4,6}:{(43,1),(45,1),(90,1),(98,1)}
        70:{1,4,7}:{(44,1),(46,1),(91,1)}
        71:{1,3,6,7}:{(45,1),(46,1),(52,1),(92,1),(99,1),(174,1)}
        72:{1,2,4}:{(47,1),(48,1),(100,1)}
        73:{1,3,5}:{(48,1),(49,1),(95,1),(100,1),(101,1)}
        74:{2,3,6}:{(49,1),(50,1),(96,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(51,1),(102,1)}
        76:{1,3,4,5}:{(53,1),(57,1),(61,1),(104,1),(105,1)}
        77:{1,4,5,7}:{(53,1),(54,1),(62,1),(106,1),(107,1),(153,1)}
        78:{1,4,6}:{(53,1),(55,1),(63,1),(107,1)}
        79:{1,3,6}:{(54,1),(59,1),(64,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(60,1),(65,1),(107,1),(108,1),(112,1),(126,1),(153,1),(160,1)}
        81:{1,2,3}:{(109,1)}
        82:{1,3,4}:{(56,1),(109,1),(110,1)}
        83:{2,3,5}:{(56,1),(57,1),(104,1),(110,1),(111,1)}
        84:{1,3,6}:{(57,1),(58,1),(111,1),(112,1)}
        85:{1,2,4,7}:{(58,1),(60,1),(107,1),(112,1),(152,1)}
        86:{1,2,6,7}:{(59,1),(60,1),(108,1),(172,1)}
        87:{2,4,5,6}:{(63,1),(66,1),(103,1),(113,1),(114,1),(117,1),(119,1),(148,1),(158,1)}
        88:{3,4,5,7}:{(61,1),(62,1),(115,1),(116,1),(159,1)}
        89:{3,4,6}:{(61,1),(63,1),(113,1),(116,1)}
        90:{2,4,6}:{(62,1),(64,1),(69,1),(106,1),(115,1),(117,1)}
        91:{2,4,7}:{(63,1),(65,1),(70,1),(107,1),(116,1)}
        92:{2,3,6,7}:{(64,1),(65,1),(71,1),(108,1),(118,1),(156,1),(161,1),(172,1)}
        93:{1,3,5,6}:{(66,1),(68,1),(113,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(66,1),(70,1),(114,1),(120,1),(121,1),(124,1),(171,1)}
        95:{1,4,5}:{(67,1),(73,1),(122,1)}
        96:{2,4,6}:{(67,1),(68,1),(74,1),(119,1),(122,1),(123,1)}
        97:{1,3,4,7}:{(68,1),(70,1),(75,1),(116,1),(120,1),(123,1)}
        98:{1,5,6}:{(69,1),(117,1),(124,1)}
        99:{1,4,6,7}:{(69,1),(70,1),(71,1),(118,1),(124,1)}
       100:{1,2,5}:{(72,1),(73,1),(125,1)}
       101:{1,3,6}:{(73,1),(74,1),(122,1),(125,1),(126,1)}
       102:{2,3,7}:{(74,1),(75,1),(123,1),(126,1)}
       103:{1,4,5,6}:{(78,1),(87,1),(127,1),(128,1),(132,1),(142,1)}
       104:{2,4,5}:{(76,1),(83,1),(129,1),(130,1)}
       105:{1,3,4,6}:{(76,1),(78,1),(84,1),(89,1),(127,1),(130,1),(131,1)}
       106:{1,4,6}:{(77,1),(79,1),(90,1),(132,1)}
       107:{1,4,7}:{(78,1),(80,1),(91,1)}
       108:{1,3,6,7}:{(79,1),(80,1),(86,1),(92,1),(133,1),(170,1)}
       109:{1,2,4}:{(81,1),(82,1),(134,1)}
       110:{1,3,5}:{(82,1),(83,1),(129,1),(134,1),(135,1)}
       111:{2,3,6}:{(83,1),(84,1),(130,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(136,1)}
       113:{3,5,6}:{(87,1),(89,1),(137,1)}
       114:{2,4,5,7}:{(87,1),(91,1),(94,1),(128,1),(137,1),(138,1),(141,1),(143,1),(163,1),(169,1)}
       115:{3,4,6}:{(88,1),(90,1),(139,1)}
       116:{3,4,7}:{(89,1),(91,1),(137,1)}
       117:{2,5,6}:{(90,1),(98,1),(132,1),(139,1),(141,1)}
       118:{2,4,6,7}:{(90,1),(91,1),(92,1),(99,1),(133,1),(140,1),(141,1)}
       119:{2,5,6}:{(93,1),(96,1),(142,1),(143,1)}
       120:{1,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(143,1),(144,1)}
       121:{1,4,6,7}:{(94,1),(138,1),(144,1),(145,1),(174,1)}
       122:{1,4,6}:{(95,1),(96,1),(101,1),(142,1),(146,1)}
       123:{2,4,7}:{(96,1),(97,1),(102,1),(143,1),(146,1)}
       124:{1,5,7}:{(98,1),(99,1),(141,1)}
       125:{1,2,6}:{(100,1),(101,1),(147,1)}
       126:{1,3,7}:{(101,1),(102,1),(146,1),(147,1)}
       127:{1,3,5,6}:{(103,1),(105,1),(113,1),(148,1),(149,1)}
       128:{1,4,5,7}:{(103,1),(107,1),(114,1),(149,1),(150,1),(153,1),(160,1)}
       129:{1,4,5}:{(104,1),(110,1),(151,1)}
       130:{2,4,6}:{(104,1),(105,1),(111,1),(148,1),(151,1),(152,1)}
       131:{1,3,4,7}:{(105,1),(107,1),(112,1),(116,1),(149,1),(152,1)}
       132:{1,5,6}:{(106,1),(117,1),(153,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(108,1),(118,1),(153,1)}
       134:{1,2,5}:{(109,1),(110,1),(154,1)}
       135:{1,3,6}:{(110,1),(111,1),(151,1),(154,1),(155,1)}
       136:{2,3,7}:{(111,1),(112,1),(152,1),(155,1)}
       137:{3,5,7}:{(113,1),(114,1),(116,1),(156,1)}
       138:{2,4,6,7}:{(114,1),(121,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,5,6}:{(115,1),(117,1),(158,1),(159,1)}
       140:{3,4,6,7}:{(115,1),(116,1),(118,1),(156,1),(159,1),(173,1)}
       141:{2,5,7}:{(117,1),(118,1),(124,1),(153,1),(159,1)}
       142:{1,5,6}:{(119,1),(122,1),(160,1)}
       143:{2,5,7}:{(119,1),(120,1),(123,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(120,1),(121,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(121,1),(124,1),(157,1)}
       146:{1,4,7}:{(122,1),(123,1),(126,1),(160,1)}
       147:{1,2,7}:{(125,1),(126,1)}
       148:{2,5,6}:{(127,1),(130,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(127,1),(128,1),(131,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(128,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(129,1),(130,1),(135,1),(162,1),(166,1)}
       152:{2,4,7}:{(130,1),(131,1),(136,1),(163,1),(166,1)}
       153:{1,5,7}:{(132,1),(133,1),(141,1)}
       154:{1,2,6}:{(134,1),(135,1),(167,1)}
       155:{1,3,7}:{(135,1),(136,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(141,1),(145,1),(165,1),(168,1)}
       158:{4,5,6}:{(139,1),(169,1)}
       159:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(159,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1355 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(65,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(170,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(123,1)}
         4:{1,3,4,7}:{(2,1),(10,1),(11,1),(12,1),(85,1),(89,1),(161,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(42,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(120,1),(160,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(62,1),(98,1)}
         9:{1,2,4,7}:{(3,1),(16,1),(18,1),(19,1),(154,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(105,1),(114,1),(145,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(20,1),(23,1),(24,1),(25,1),(60,1),(65,1),(96,1),(144,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(21,1),(22,1),(23,1),(24,1)}
        13:{1,2,4}:{(5,1),(25,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,6}:{(7,1),(24,1)}
        16:{1,3,4,7}:{(9,1),(10,1),(29,1),(30,1),(119,1),(123,1),(136,1)}
        17:{1,2,3,5}:{(8,1),(31,1),(32,1),(72,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(86,1),(135,1)}
        19:{1,2,5,7}:{(9,1),(30,1),(32,1),(33,1)}
        20:{2,3,4,6}:{(10,1),(11,1),(29,1),(35,1),(36,1),(41,1),(71,1),(79,1),(88,1),(122,1)}
        21:{2,3,5,7}:{(10,1),(12,1),(30,1),(34,1),(35,1),(36,1)}
        22:{1,4,5,7}:{(12,1),(34,1),(37,1),(38,1),(82,1),(85,1)}
        23:{1,3,5}:{(11,1),(14,1),(35,1),(38,1)}
        24:{1,3,6}:{(12,1),(15,1),(36,1),(37,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1)}
        26:{1,2,4,5}:{(13,1),(14,1),(38,1),(42,1),(43,1),(83,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(39,1),(43,1),(44,1),(131,1),(160,1)}
        28:{1,2,6,7}:{(15,1),(40,1),(44,1),(164,1)}
        29:{1,3,4,6}:{(16,1),(18,1),(20,1),(46,1),(47,1),(48,1),(63,1),(93,1),(98,1),(113,1)}
        30:{1,3,5,7}:{(16,1),(19,1),(21,1),(45,1),(46,1),(47,1)}
        31:{1,2,4}:{(17,1),(48,1)}
        32:{1,2,5}:{(18,1),(46,1)}
        33:{1,2,6}:{(19,1),(47,1)}
        34:{2,4,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1),(54,1),(103,1),(105,1)}
        35:{2,3,5}:{(20,1),(23,1),(46,1),(54,1)}
        36:{2,3,6}:{(21,1),(24,1),(47,1),(53,1)}
        37:{1,4,6}:{(22,1),(24,1),(53,1),(57,1)}
        38:{1,4,5}:{(23,1),(54,1),(60,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(27,1),(55,1),(57,1),(60,1),(61,1),(65,1),(144,1),(167,1)}
        40:{1,3,6,7}:{(24,1),(28,1),(56,1),(58,1),(61,1),(174,1)}
        41:{2,3,4}:{(25,1),(63,1),(64,1)}
        42:{1,3,5}:{(25,1),(26,1),(64,1),(65,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(60,1),(65,1),(66,1),(110,1)}
        44:{1,2,5,7}:{(27,1),(28,1),(61,1),(66,1),(152,1),(170,1)}
        45:{1,4,5,7}:{(30,1),(34,1),(67,1),(68,1),(116,1),(119,1)}
        46:{1,3,5}:{(29,1),(32,1),(35,1),(68,1)}
        47:{1,3,6}:{(30,1),(33,1),(36,1),(67,1)}
        48:{1,3,4}:{(31,1),(71,1),(72,1)}
        49:{1,2,4,5}:{(31,1),(32,1),(68,1),(72,1),(73,1),(117,1)}
        50:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(135,1),(156,1)}
        51:{1,2,6,7}:{(33,1),(70,1),(74,1),(172,1)}
        52:{3,4,5,7}:{(34,1),(75,1),(78,1),(125,1),(129,1)}
        53:{2,4,6}:{(34,1),(36,1),(37,1),(67,1),(75,1),(76,1)}
        54:{2,4,5}:{(35,1),(38,1),(68,1),(78,1),(79,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(69,1),(76,1),(79,1),(80,1),(88,1),(122,1),(127,1),(131,1),(156,1)}
        56:{2,3,6,7}:{(36,1),(40,1),(70,1),(77,1),(80,1),(163,1),(164,1),(172,1)}
        57:{1,5,6}:{(37,1),(76,1),(82,1)}
        58:{1,4,6,7}:{(37,1),(40,1),(77,1),(82,1),(85,1)}
        59:{1,3,4,5}:{(38,1),(42,1),(78,1),(83,1),(84,1)}
        60:{1,4,6}:{(38,1),(39,1),(79,1),(85,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(82,1),(85,1),(89,1),(161,1),(173,1)}
        62:{1,2,3}:{(86,1)}
        63:{1,3,4}:{(41,1),(86,1),(87,1)}
        64:{2,3,5}:{(41,1),(42,1),(83,1),(87,1),(88,1)}
        65:{1,3,6}:{(42,1),(43,1),(88,1),(89,1)}
        66:{1,2,4,7}:{(43,1),(44,1),(85,1),(89,1),(134,1)}
        67:{1,4,6}:{(45,1),(47,1),(53,1),(90,1)}
        68:{1,4,5}:{(46,1),(54,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(50,1),(55,1),(90,1),(93,1),(94,1),(98,1),(113,1),(151,1)}
        70:{1,3,6,7}:{(47,1),(51,1),(56,1),(91,1),(94,1),(171,1)}
        71:{2,3,4}:{(48,1),(96,1),(97,1)}
        72:{1,3,5}:{(48,1),(49,1),(97,1),(98,1)}
        73:{1,2,4,6}:{(49,1),(50,1),(93,1),(98,1),(99,1),(141,1)}
        74:{1,2,5,7}:{(50,1),(51,1),(94,1),(99,1),(154,1),(168,1)}
        75:{3,4,6}:{(52,1),(53,1),(100,1)}
        76:{2,5,6}:{(53,1),(57,1),(90,1),(100,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(56,1),(58,1),(91,1),(101,1),(103,1),(105,1)}
        78:{3,4,5}:{(54,1),(104,1)}
        79:{2,4,6}:{(54,1),(55,1),(60,1),(93,1),(104,1),(105,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(61,1),(94,1),(103,1),(105,1),(114,1),(145,1),(149,1),(152,1),(168,1)}
        81:{1,4,5,6}:{(57,1),(60,1),(102,1),(107,1),(108,1),(167,1)}
        82:{1,5,7}:{(57,1),(58,1),(103,1)}
        83:{2,4,5}:{(59,1),(64,1),(109,1),(110,1)}
        84:{1,3,4,6}:{(59,1),(60,1),(65,1),(104,1),(107,1),(110,1),(111,1)}
        85:{1,4,7}:{(60,1),(61,1),(105,1)}
        86:{1,2,4}:{(62,1),(63,1),(112,1)}
        87:{1,3,5}:{(63,1),(64,1),(109,1),(112,1),(113,1)}
        88:{2,3,6}:{(64,1),(65,1),(110,1),(113,1),(114,1)}
        89:{1,3,7}:{(65,1),(66,1),(114,1)}
        90:{1,5,6}:{(67,1),(76,1),(116,1)}
        91:{1,4,6,7}:{(67,1),(70,1),(77,1),(116,1),(119,1)}
        92:{1,3,4,5}:{(68,1),(72,1),(78,1),(117,1),(118,1)}
        93:{1,4,6}:{(68,1),(69,1),(79,1),(119,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(74,1),(80,1),(116,1),(119,1),(123,1),(136,1),(165,1)}
        95:{1,2,3}:{(120,1)}
        96:{1,3,4}:{(71,1),(120,1),(121,1)}
        97:{2,3,5}:{(71,1),(72,1),(117,1),(121,1),(122,1)}
        98:{1,3,6}:{(72,1),(73,1),(122,1),(123,1)}
        99:{1,2,4,7}:{(73,1),(74,1),(119,1),(123,1),(159,1)}
       100:{3,5,6}:{(75,1),(76,1),(124,1),(125,1)}
       101:{3,4,6,7}:{(75,1),(77,1),(125,1),(129,1),(162,1),(163,1)}
       102:{2,4,5,6}:{(76,1),(79,1),(81,1),(115,1),(124,1),(127,1),(128,1),(131,1),(156,1)}
       103:{2,5,7}:{(76,1),(77,1),(82,1),(116,1),(125,1)}
       104:{3,4,6}:{(78,1),(79,1),(127,1),(129,1)}
       105:{2,4,7}:{(79,1),(80,1),(85,1),(119,1),(129,1)}
       106:{1,5,6,7}:{(82,1),(126,1),(130,1)}
       107:{1,3,5,6}:{(81,1),(84,1),(127,1),(131,1),(132,1)}
       108:{1,4,5,7}:{(81,1),(82,1),(85,1),(128,1),(130,1),(132,1),(173,1)}
       109:{1,4,5}:{(83,1),(87,1),(133,1)}
       110:{2,4,6}:{(83,1),(84,1),(88,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,7}:{(84,1),(85,1),(89,1),(129,1),(132,1),(134,1)}
       112:{1,2,5}:{(86,1),(87,1),(135,1)}
       113:{1,3,6}:{(87,1),(88,1),(133,1),(135,1),(136,1)}
       114:{2,3,7}:{(88,1),(89,1),(134,1),(136,1)}
       115:{1,4,5,6}:{(90,1),(93,1),(102,1),(138,1),(139,1),(151,1)}
       116:{1,5,7}:{(90,1),(91,1),(103,1)}
       117:{2,4,5}:{(92,1),(97,1),(140,1),(141,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(98,1),(104,1),(138,1),(141,1),(142,1)}
       119:{1,4,7}:{(93,1),(94,1),(105,1)}
       120:{1,2,4}:{(95,1),(96,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(140,1),(143,1),(144,1)}
       122:{2,3,6}:{(97,1),(98,1),(141,1),(144,1),(145,1)}
       123:{1,3,7}:{(98,1),(99,1),(145,1)}
       124:{4,5,6}:{(100,1),(147,1)}
       125:{3,5,7}:{(100,1),(101,1),(103,1),(147,1)}
       126:{2,5,6,7}:{(103,1),(106,1),(137,1),(146,1),(148,1)}
       127:{3,5,6}:{(102,1),(104,1),(149,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(108,1),(139,1),(147,1),(148,1),(149,1),(152,1),(168,1)}
       129:{3,4,7}:{(104,1),(105,1),(149,1)}
       130:{1,4,6,7}:{(106,1),(108,1),(148,1),(150,1),(174,1)}
       131:{2,5,6}:{(107,1),(110,1),(151,1),(152,1)}
       132:{1,3,5,7}:{(107,1),(108,1),(111,1),(149,1),(150,1),(152,1)}
       133:{1,4,6}:{(109,1),(110,1),(113,1),(151,1),(153,1)}
       134:{2,4,7}:{(110,1),(111,1),(114,1),(152,1),(153,1)}
       135:{1,2,6}:{(112,1),(113,1),(154,1)}
       136:{1,3,7}:{(113,1),(114,1),(153,1),(154,1)}
       137:{1,5,6,7}:{(116,1),(126,1),(155,1)}
       138:{1,3,5,6}:{(115,1),(118,1),(127,1),(156,1),(157,1)}
       139:{1,4,5,7}:{(115,1),(116,1),(119,1),(128,1),(155,1),(157,1),(165,1)}
       140:{1,4,5}:{(117,1),(121,1),(158,1)}
       141:{2,4,6}:{(117,1),(118,1),(122,1),(156,1),(158,1),(159,1)}
       142:{1,3,4,7}:{(118,1),(119,1),(123,1),(129,1),(157,1),(159,1)}
       143:{1,2,5}:{(120,1),(121,1),(160,1)}
       144:{1,3,6}:{(121,1),(122,1),(158,1),(160,1),(161,1)}
       145:{2,3,7}:{(122,1),(123,1),(159,1),(161,1)}
       146:{3,5,6,7}:{(125,1),(126,1),(162,1),(163,1)}
       147:{4,5,7}:{(124,1),(125,1),(162,1)}
       148:{2,4,6,7}:{(126,1),(128,1),(130,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(127,1),(128,1),(129,1),(163,1)}
       150:{1,3,6,7}:{(130,1),(132,1),(163,1),(164,1)}
       151:{1,5,6}:{(131,1),(133,1),(165,1)}
       152:{2,5,7}:{(131,1),(132,1),(134,1),(164,1),(165,1)}
       153:{1,4,7}:{(133,1),(134,1),(136,1),(165,1)}
       154:{1,2,7}:{(135,1),(136,1)}
       155:{1,4,6,7}:{(137,1),(139,1),(148,1),(166,1),(171,1)}
       156:{2,5,6}:{(138,1),(141,1),(167,1),(168,1)}
       157:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(166,1),(168,1)}
       158:{1,4,6}:{(140,1),(141,1),(144,1),(167,1),(169,1)}
       159:{2,4,7}:{(141,1),(142,1),(145,1),(168,1),(169,1)}
       160:{1,2,6}:{(143,1),(144,1),(170,1)}
       161:{1,3,7}:{(144,1),(145,1),(169,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(152,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(157,1),(163,1),(172,1)}
       167:{1,5,6}:{(156,1),(158,1),(173,1)}
       168:{2,5,7}:{(156,1),(157,1),(159,1),(172,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(161,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(168,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1356 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1357 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1358 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1359 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1360 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1361 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1362 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(46,1),(121,1),(157,1)}
         6:{1,2,3,7}:{(1,1),(14,1),(44,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(13,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(21,1),(24,1),(25,1),(26,1),(63,1),(66,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(168,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(27,1),(29,1),(56,1),(63,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(33,1),(74,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(77,1)}
        19:{1,2,3,7}:{(8,1),(34,1),(124,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(81,1),(84,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(41,1)}
        25:{1,3,4,7}:{(11,1),(14,1),(38,1),(43,1),(44,1),(87,1),(158,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,6}:{(13,1),(15,1),(42,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(43,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(45,1),(79,1),(87,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(48,1),(49,1),(50,1),(51,1),(93,1),(96,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,5}:{(18,1),(48,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,5}:{(21,1),(24,1),(48,1),(57,1)}
        38:{2,3,4,7}:{(21,1),(25,1),(49,1),(59,1),(60,1),(107,1),(144,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(63,1),(105,1)}
        41:{1,4,5}:{(24,1),(57,1),(63,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(27,1),(58,1),(63,1),(65,1),(66,1),(113,1),(143,1),(163,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(28,1),(59,1),(64,1),(66,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,5,7}:{(27,1),(29,1),(65,1),(67,1),(104,1),(168,1)}
        46:{1,2,6}:{(28,1),(66,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,5}:{(30,1),(33,1),(37,1),(69,1)}
        49:{1,3,4,7}:{(30,1),(34,1),(38,1),(71,1),(72,1),(118,1),(124,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(33,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(151,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(71,1),(77,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(37,1),(41,1),(69,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(37,1),(39,1),(42,1),(70,1),(78,1),(81,1),(83,1),(84,1),(123,1),(125,1),(131,1),(151,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(43,1),(71,1),(82,1),(84,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(87,1),(128,1)}
        63:{1,4,6}:{(41,1),(42,1),(81,1),(87,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(82,1),(87,1),(88,1),(133,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(45,1),(83,1),(87,1),(89,1),(133,1),(158,1),(171,1)}
        66:{1,3,6}:{(43,1),(46,1),(84,1),(88,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(48,1),(57,1),(93,1)}
        70:{1,3,5,6}:{(48,1),(50,1),(53,1),(58,1),(90,1),(93,1),(95,1),(96,1),(100,1),(141,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(54,1),(59,1),(94,1),(96,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(53,1),(93,1),(100,1),(101,1),(138,1)}
        76:{1,2,5,7}:{(53,1),(55,1),(95,1),(101,1),(102,1),(164,1)}
        77:{1,2,6}:{(54,1),(96,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(64,1),(94,1),(106,1),(107,1),(108,1),(149,1)}
        83:{2,3,5,7}:{(58,1),(60,1),(65,1),(95,1),(104,1),(107,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        84:{2,3,6}:{(59,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(103,1),(110,1),(113,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,7}:{(63,1),(65,1),(107,1)}
        88:{1,4,6}:{(64,1),(66,1),(108,1),(113,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(112,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,6}:{(69,1),(70,1),(81,1),(118,1)}
        94:{1,4,5,7}:{(69,1),(71,1),(82,1),(118,1),(119,1),(156,1)}
        95:{1,3,5,7}:{(70,1),(72,1),(76,1),(83,1),(115,1),(118,1),(120,1),(124,1),(156,1)}
        96:{1,3,6}:{(71,1),(77,1),(84,1),(119,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(76,1),(118,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(81,1),(85,1),(114,1),(125,1),(126,1),(131,1),(151,1),(162,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,6}:{(80,1),(81,1),(125,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,7}:{(81,1),(83,1),(87,1),(118,1),(128,1)}
       108:{2,4,6}:{(82,1),(84,1),(88,1),(119,1),(129,1),(131,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(130,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(87,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,4,6,7}:{(87,1),(88,1),(89,1),(130,1),(133,1)}
       113:{1,5,6}:{(88,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(93,1),(103,1),(134,1),(135,1),(141,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(100,1),(105,1),(134,1),(138,1),(139,1)}
       118:{1,4,7}:{(93,1),(95,1),(107,1)}
       119:{1,4,6}:{(94,1),(96,1),(108,1),(141,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(140,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(105,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(107,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,7}:{(105,1),(107,1),(145,1)}
       129:{3,4,6}:{(106,1),(108,1),(148,1)}
       130:{2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,5,6}:{(108,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(118,1),(124,1),(128,1),(152,1),(155,1)}
       140:{1,4,6,7}:{(118,1),(119,1),(120,1),(130,1),(156,1)}
       141:{1,5,6}:{(119,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(128,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(128,1),(129,1),(130,1),(159,1),(161,1),(173,1)}
       148:{3,5,6}:{(129,1),(131,1),(161,1),(162,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(161,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(148,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1363 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1364 :   0:{1,2,5,6,7}:{(1,1),(2,1),(45,1),(83,1),(94,1),(139,1),(143,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(27,1),(58,1),(110,1),(114,1),(168,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(120,1),(169,1),(175,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(26,1),(31,1),(68,1),(73,1),(120,1),(125,1),(126,1),(167,1),(169,1),(175,1),(214,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(81,1),(95,1),(138,1),(143,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(45,1),(81,1),(86,1),(143,1),(144,1),(194,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(42,1),(45,1),(92,1),(139,1),(142,1),(145,1),(147,1),(193,1)}
         7:{1,4,6,7}:{(1,1),(12,1),(14,1),(141,1),(193,1)}
         8:{1,3,6,7}:{(2,1),(13,1),(16,1),(146,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(13,1),(17,1),(18,1),(97,1),(146,1),(154,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(29,1),(56,1),(69,1),(114,1),(124,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(57,1),(164,1),(169,1),(210,1)}
        12:{2,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(9,1),(24,1),(25,1),(170,1),(174,1)}
        14:{1,4,5,7}:{(7,1),(22,1),(26,1),(27,1),(110,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(23,1),(24,1),(27,1),(28,1),(64,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(28,1),(29,1),(117,1),(175,1)}
        17:{1,3,4,6}:{(9,1),(24,1),(30,1),(31,1),(214,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(25,1),(31,1),(32,1),(68,1),(71,1),(117,1),(126,1),(127,1),(175,1)}
        19:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(35,1),(78,1),(81,1),(95,1),(136,1),(142,1),(152,1),(186,1),(188,1)}
        20:{1,4,6,7}:{(10,1),(12,1),(35,1),(141,1),(152,1)}
        21:{1,3,6,7}:{(11,1),(34,1),(37,1),(187,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(14,1),(35,1),(38,1),(39,1),(45,1),(81,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(195,1)}
        24:{1,3,4,7}:{(13,1),(17,1),(42,1),(193,1),(195,1)}
        25:{2,3,5,7}:{(13,1),(16,1),(18,1),(42,1),(43,1),(45,1),(147,1),(148,1)}
        26:{1,4,5,6}:{(14,1),(38,1),(44,1),(138,1),(141,1),(202,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(39,1),(44,1),(45,1)}
        28:{2,4,6,7}:{(15,1),(16,1),(42,1),(45,1),(46,1),(91,1)}
        29:{1,3,6,7}:{(16,1),(43,1),(46,1),(47,1),(146,1)}
        30:{1,3,4,5}:{(17,1),(49,1),(97,1),(156,1),(230,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(42,1),(49,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(43,1),(50,1),(51,1),(94,1),(97,1),(100,1),(146,1)}
        33:{1,2,4,5,6}:{(19,1),(52,1),(55,1),(102,1),(109,1),(123,1),(159,1),(164,1),(169,1),(179,1),(204,1),(205,1),(210,1),(216,1),(244,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(52,1),(53,1),(54,1),(170,1),(209,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(55,1),(56,1),(69,1)}
        36:{1,3,4,6,7}:{(20,1),(21,1),(23,1),(53,1),(56,1),(57,1),(105,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(161,1),(210,1)}
        38:{2,4,5,6}:{(22,1),(26,1),(55,1),(60,1),(68,1),(109,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(60,1)}
        40:{2,3,4,6,7}:{(23,1),(28,1),(57,1),(61,1),(62,1),(63,1),(104,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(219,1),(238,1)}
        41:{1,3,4,5,7}:{(24,1),(27,1),(30,1),(59,1),(64,1),(65,1),(113,1),(118,1),(170,1),(178,1),(220,1)}
        42:{2,4,7}:{(24,1),(25,1),(31,1),(66,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(32,1),(66,1),(67,1),(69,1),(122,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(60,1),(64,1),(68,1),(220,1)}
        45:{2,5,7}:{(27,1),(28,1),(68,1),(69,1)}
        46:{1,4,6,7}:{(28,1),(29,1),(66,1),(69,1),(120,1)}
        47:{1,2,6,7}:{(29,1),(67,1),(175,1)}
        48:{2,3,4,6}:{(31,1),(63,1),(71,1),(72,1),(117,1),(127,1),(181,1),(215,1),(219,1)}
        49:{2,4,5}:{(30,1),(31,1),(71,1),(73,1),(126,1),(181,1)}
        50:{1,4,6}:{(31,1),(32,1),(66,1),(73,1)}
        51:{1,2,5,6}:{(32,1),(67,1),(74,1),(126,1),(175,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(75,1),(76,1),(182,1),(187,1),(194,1),(222,1),(231,1)}
        53:{1,3,4,7}:{(34,1),(75,1),(78,1),(152,1),(195,1)}
        54:{2,3,5,7}:{(34,1),(37,1),(76,1),(78,1),(79,1),(81,1),(188,1),(189,1)}
        55:{1,4,5,6}:{(35,1),(38,1),(80,1),(94,1),(141,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(39,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(37,1),(78,1),(81,1),(82,1),(135,1)}
        58:{1,3,6,7}:{(37,1),(79,1),(82,1),(83,1),(187,1)}
        59:{3,4,5,7}:{(39,1),(84,1),(85,1),(195,1),(231,1)}
        60:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(45,1),(81,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(46,1),(82,1),(87,1),(88,1),(90,1),(96,1),(134,1),(140,1),(141,1),(146,1),(152,1),(187,1),(193,1),(194,1),(195,1),(201,1),(229,1),(232,1),(242,1)}
        63:{2,3,4,7}:{(42,1),(48,1),(89,1),(90,1),(148,1),(195,1),(200,1)}
        64:{1,3,4,6}:{(41,1),(44,1),(84,1),(91,1),(141,1),(146,1),(194,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(89,1),(91,1),(92,1),(147,1),(200,1),(233,1)}
        66:{1,4,7}:{(42,1),(43,1),(50,1)}
        67:{1,2,5,7}:{(43,1),(47,1),(51,1),(93,1),(147,1)}
        68:{2,5,6}:{(44,1),(45,1),(91,1),(94,1),(233,1)}
        69:{1,5,7}:{(45,1),(46,1),(94,1)}
        70:{1,2,4,6,7}:{(46,1),(47,1),(88,1),(93,1),(95,1),(96,1),(149,1),(152,1),(186,1),(225,1),(242,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,3,4,6}:{(48,1),(50,1),(90,1),(97,1),(98,1),(100,1),(146,1),(154,1),(156,1),(203,1),(232,1)}
        73:{1,4,5}:{(49,1),(50,1),(97,1),(203,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(93,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(53,1),(101,1),(102,1),(179,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(102,1),(103,1),(109,1),(157,1),(161,1),(205,1),(206,1),(210,1)}
        77:{1,3,4,5,7}:{(53,1),(56,1),(59,1),(101,1),(105,1),(106,1),(113,1),(162,1),(170,1),(213,1),(239,1)}
        78:{2,4,7}:{(53,1),(54,1),(102,1),(107,1)}
        79:{1,3,5,7}:{(54,1),(58,1),(103,1),(107,1),(108,1),(110,1),(166,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(60,1),(105,1),(109,1),(239,1)}
        81:{2,5,7}:{(56,1),(57,1),(109,1),(110,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(107,1),(110,1),(164,1)}
        83:{1,2,6,7}:{(58,1),(108,1),(210,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,4,5,7}:{(59,1),(61,1),(112,1),(113,1),(172,1),(216,1)}
        86:{2,3,5,6}:{(60,1),(61,1),(68,1),(109,1),(112,1),(114,1),(117,1),(161,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(69,1),(110,1),(113,1),(114,1),(115,1),(170,1),(220,1),(239,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(119,1),(163,1),(169,1),(172,1),(175,1),(210,1),(219,1),(238,1)}
        89:{2,3,5,7}:{(63,1),(65,1),(71,1),(117,1),(118,1),(170,1)}
        90:{1,3,4,7}:{(63,1),(66,1),(72,1),(118,1),(119,1),(122,1),(174,1),(218,1)}
        91:{2,4,6}:{(64,1),(65,1),(68,1),(117,1),(120,1),(175,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(73,1),(118,1),(120,1),(218,1),(240,1)}
        93:{1,2,4,7}:{(66,1),(67,1),(74,1),(119,1),(122,1)}
        94:{1,5,6}:{(68,1),(69,1),(120,1),(240,1)}
        95:{1,2,5,7}:{(69,1),(70,1),(115,1),(123,1),(124,1),(244,1)}
        96:{1,3,6,7}:{(70,1),(116,1),(122,1),(124,1),(177,1),(209,1),(236,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(126,1),(240,1)}
        98:{2,4,6}:{(72,1),(119,1),(126,1),(127,1),(175,1),(181,1)}
        99:{1,2,4,5}:{(73,1),(74,1),(126,1),(128,1),(181,1)}
       100:{1,3,6}:{(74,1),(122,1),(127,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(130,1),(182,1),(202,1),(224,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(78,1),(130,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(79,1),(131,1),(132,1),(138,1),(182,1),(185,1),(187,1)}
       104:{2,3,4,7}:{(78,1),(129,1),(133,1),(134,1),(189,1),(195,1),(228,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(84,1),(135,1),(141,1),(187,1),(194,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(81,1),(130,1),(133,1),(135,1),(136,1),(188,1),(228,1),(243,1)}
       107:{1,4,7}:{(78,1),(79,1),(131,1)}
       108:{1,2,5,7}:{(79,1),(83,1),(132,1),(137,1),(188,1)}
       109:{2,5,6}:{(80,1),(81,1),(135,1),(138,1),(243,1)}
       110:{1,5,7}:{(81,1),(82,1),(138,1)}
       111:{1,2,4,6,7}:{(82,1),(83,1),(88,1),(137,1),(139,1),(140,1),(145,1),(190,1),(193,1),(197,1),(232,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,4,5,7}:{(85,1),(87,1),(141,1),(142,1),(152,1),(193,1),(202,1),(230,1)}
       114:{1,3,5,6}:{(86,1),(87,1),(94,1),(138,1),(141,1),(143,1),(146,1),(187,1),(194,1)}
       115:{2,5,7}:{(87,1),(88,1),(143,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(96,1),(140,1),(144,1),(148,1),(189,1),(194,1),(199,1),(227,1)}
       117:{2,3,6}:{(89,1),(91,1),(146,1),(194,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(92,1),(97,1),(146,1),(147,1)}
       119:{2,4,7}:{(90,1),(98,1),(147,1),(148,1)}
       120:{1,4,6}:{(91,1),(92,1),(94,1),(146,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(99,1),(142,1),(147,1),(149,1),(150,1),(152,1),(200,1),(202,1),(233,1)}
       122:{1,3,7}:{(93,1),(100,1),(148,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(149,1),(151,1),(225,1),(233,1)}
       124:{1,3,5,7}:{(95,1),(96,1),(144,1),(151,1),(152,1)}
       125:{1,2,4,6}:{(98,1),(145,1),(153,1),(154,1),(197,1),(203,1),(232,1)}
       126:{2,5}:{(97,1),(98,1)}
       127:{2,3,6}:{(98,1),(100,1),(148,1),(154,1),(155,1)}
       128:{1,3,5}:{(99,1),(100,1),(155,1),(156,1)}
       129:{2,3,4,6}:{(102,1),(104,1),(157,1),(158,1),(161,1),(206,1),(215,1),(235,1),(238,1)}
       130:{2,4,5}:{(101,1),(102,1),(157,1),(159,1),(205,1),(235,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(159,1)}
       132:{1,2,5,6}:{(103,1),(108,1),(160,1),(205,1),(210,1)}
       133:{2,3,5,7}:{(104,1),(106,1),(157,1),(161,1),(162,1),(170,1)}
       134:{1,3,4,7}:{(104,1),(107,1),(158,1),(162,1),(163,1),(166,1),(209,1),(237,1)}
       135:{2,4,6}:{(105,1),(106,1),(109,1),(161,1),(164,1),(210,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(159,1),(162,1),(164,1),(237,1),(244,1)}
       137:{1,2,4,7}:{(107,1),(108,1),(160,1),(163,1),(166,1)}
       138:{1,5,6}:{(109,1),(110,1),(164,1),(244,1)}
       139:{1,2,5,7}:{(110,1),(111,1),(115,1),(167,1),(168,1),(240,1)}
       140:{1,3,6,7}:{(111,1),(116,1),(166,1),(168,1),(174,1),(212,1),(217,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,4,5,7}:{(113,1),(115,1),(169,1),(170,1),(172,1),(216,1)}
       143:{2,5,6}:{(114,1),(115,1),(169,1),(175,1),(210,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(124,1),(168,1),(170,1),(171,1),(172,1)}
       145:{1,2,4,7}:{(119,1),(125,1),(173,1),(174,1),(218,1)}
       146:{1,3,6}:{(117,1),(118,1),(120,1),(175,1)}
       147:{2,5,7}:{(118,1),(119,1),(126,1),(175,1)}
       148:{2,3,7}:{(119,1),(122,1),(127,1),(174,1)}
       149:{1,2,4,6}:{(120,1),(121,1),(123,1),(169,1),(175,1),(177,1),(179,1),(219,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(128,1),(170,1),(176,1),(177,1),(178,1),(220,1)}
       151:{1,3,5,6}:{(123,1),(124,1),(171,1),(177,1),(179,1),(220,1),(236,1),(244,1)}
       152:{1,4,7}:{(124,1),(172,1),(179,1)}
       153:{1,2,5}:{(125,1),(126,1),(180,1),(240,1)}
       154:{1,3,6}:{(125,1),(127,1),(174,1),(180,1)}
       155:{2,3,5}:{(126,1),(127,1),(128,1),(180,1),(181,1)}
       156:{1,3,4}:{(128,1),(181,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,3,4,6}:{(129,1),(131,1),(134,1),(182,1),(183,1),(185,1),(187,1),(222,1),(224,1),(241,1),(242,1)}
       159:{1,4,5}:{(130,1),(131,1),(182,1),(241,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(137,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(187,1),(194,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(136,1),(182,1),(187,1),(188,1)}
       163:{2,4,7}:{(134,1),(183,1),(188,1),(189,1)}
       164:{1,4,6}:{(135,1),(136,1),(138,1),(187,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(139,1),(142,1),(184,1),(188,1),(190,1),(191,1),(193,1),(228,1),(230,1),(243,1)}
       166:{1,3,7}:{(137,1),(185,1),(189,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(143,1),(190,1),(192,1),(197,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(144,1),(192,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{3,5,7}:{(142,1),(194,1),(195,1),(231,1)}
       171:{2,3,5,6}:{(143,1),(144,1),(151,1),(192,1),(194,1),(196,1),(199,1),(227,1),(231,1),(233,1),(243,1)}
       172:{2,4,7}:{(144,1),(152,1),(193,1),(195,1),(196,1)}
       173:{1,2,5,7}:{(145,1),(147,1),(153,1),(197,1),(198,1)}
       174:{1,3,7}:{(145,1),(148,1),(154,1)}
       175:{2,6}:{(146,1),(147,1)}
       176:{2,3,5,7}:{(147,1),(148,1),(150,1),(155,1),(198,1),(199,1),(200,1),(233,1)}
       177:{1,3,6}:{(149,1),(150,1),(194,1),(199,1)}
       178:{1,3,4,7}:{(150,1),(152,1),(156,1),(195,1),(200,1),(201,1)}
       179:{1,4,6}:{(151,1),(152,1),(196,1),(202,1)}
       180:{1,3,5}:{(153,1),(154,1),(155,1),(203,1)}
       181:{2,4}:{(155,1),(156,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(205,1),(244,1)}
       183:{2,4,6}:{(158,1),(163,1),(205,1),(206,1),(210,1),(235,1)}
       184:{1,2,4,5}:{(159,1),(160,1),(205,1),(207,1),(235,1)}
       185:{1,3,6}:{(160,1),(166,1),(206,1),(207,1)}
       186:{1,2,4,7}:{(163,1),(204,1),(208,1),(209,1),(237,1)}
       187:{1,3,6}:{(161,1),(162,1),(164,1),(210,1)}
       188:{2,5,7}:{(162,1),(163,1),(205,1),(210,1)}
       189:{2,3,7}:{(163,1),(166,1),(206,1),(209,1)}
       190:{1,2,4,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(212,1),(214,1),(238,1)}
       191:{1,3,5,7}:{(165,1),(166,1),(170,1),(207,1),(211,1),(212,1),(213,1),(239,1)}
       192:{1,3,5,6}:{(167,1),(168,1),(171,1),(212,1),(214,1),(217,1),(239,1),(240,1)}
       193:{1,4,7}:{(168,1),(172,1),(214,1)}
       194:{3,6}:{(169,1),(170,1)}
       195:{3,4,7}:{(170,1),(172,1),(215,1)}
       196:{2,4,6}:{(171,1),(172,1),(179,1),(214,1),(215,1),(216,1)}
       197:{1,2,6}:{(173,1),(175,1),(217,1)}
       198:{1,3,5,7}:{(173,1),(174,1),(176,1),(180,1),(217,1),(218,1),(240,1)}
       199:{2,3,6}:{(175,1),(176,1),(177,1),(217,1),(219,1)}
       200:{2,4,7}:{(176,1),(178,1),(181,1),(218,1),(219,1)}
       201:{1,3,4,6}:{(177,1),(178,1),(179,1),(215,1),(219,1),(220,1)}
       202:{1,4,5}:{(179,1),(216,1),(220,1),(244,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{1,2,4,6}:{(183,1),(186,1),(221,1),(222,1),(225,1),(241,1),(242,1)}
       205:{2,5}:{(182,1),(183,1)}
       206:{2,3,6}:{(183,1),(185,1),(189,1),(222,1),(223,1)}
       207:{1,3,5}:{(184,1),(185,1),(223,1),(224,1)}
       208:{1,2,5,7}:{(186,1),(188,1),(221,1),(225,1),(226,1)}
       209:{1,3,7}:{(186,1),(189,1),(222,1)}
       210:{2,6}:{(187,1),(188,1)}
       211:{2,3,5,7}:{(188,1),(189,1),(191,1),(223,1),(226,1),(227,1),(228,1),(243,1)}
       212:{1,3,6}:{(190,1),(191,1),(194,1),(227,1)}
       213:{1,3,4,7}:{(191,1),(193,1),(195,1),(224,1),(228,1),(229,1)}
       214:{1,4,6}:{(192,1),(193,1),(196,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(196,1),(202,1),(230,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(199,1),(232,1)}
       218:{1,4,7}:{(198,1),(200,1),(203,1),(232,1)}
       219:{2,4,6}:{(199,1),(200,1),(201,1),(232,1),(233,1)}
       220:{1,3,5}:{(201,1),(202,1),(231,1),(233,1)}
       221:{1,2,5}:{(204,1),(205,1),(234,1),(244,1)}
       222:{1,3,6}:{(204,1),(206,1),(209,1),(234,1)}
       223:{2,3,5}:{(205,1),(206,1),(207,1),(234,1),(235,1)}
       224:{1,3,4}:{(207,1),(235,1)}
       225:{1,2,6}:{(208,1),(210,1),(236,1)}
       226:{1,3,5,7}:{(208,1),(209,1),(211,1),(234,1),(236,1),(237,1),(244,1)}
       227:{2,3,6}:{(210,1),(211,1),(212,1),(236,1),(238,1)}
       228:{2,4,7}:{(211,1),(213,1),(235,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(212,1),(213,1),(214,1),(215,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(216,1),(239,1),(240,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(219,1),(240,1)}
       233:{2,5}:{(219,1),(220,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(223,1),(241,1)}
       235:{2,4}:{(223,1),(224,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(227,1),(242,1)}
       237:{1,4,7}:{(226,1),(228,1),(241,1),(242,1)}
       238:{2,4,6}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(231,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(238,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1365 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(50,1),(81,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(7,1),(29,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(32,1),(109,1),(154,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(75,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(47,1),(84,1)}
         5:{1,3,4,6}:{(2,1),(12,1),(13,1),(14,1),(15,1),(43,1),(46,1),(50,1),(82,1),(135,1)}
         6:{1,2,4}:{(1,1),(15,1)}
         7:{1,2,5}:{(2,1),(13,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(14,1),(18,1),(167,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(21,1),(57,1)}
        10:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(60,1),(72,1),(125,1)}
        11:{1,2,3,7}:{(4,1),(22,1),(112,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(28,1),(56,1),(62,1),(65,1),(74,1),(111,1)}
        13:{1,3,5}:{(5,1),(7,1),(23,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(8,1),(24,1),(27,1),(69,1),(75,1),(155,1)}
        15:{1,3,4}:{(6,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(6,1),(7,1),(25,1),(29,1),(30,1),(67,1)}
        17:{1,2,5,6}:{(7,1),(26,1),(30,1),(31,1),(32,1),(119,1),(154,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(27,1),(32,1)}
        19:{1,3,4,6}:{(10,1),(12,1),(33,1),(34,1),(35,1),(48,1),(77,1),(80,1),(84,1),(101,1)}
        20:{1,2,4}:{(9,1),(35,1)}
        21:{1,2,5}:{(10,1),(33,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(34,1),(38,1),(147,1)}
        23:{2,3,5}:{(12,1),(13,1),(33,1),(39,1)}
        24:{2,3,4,7}:{(12,1),(14,1),(34,1),(41,1),(90,1),(102,1),(136,1)}
        25:{1,4,5}:{(13,1),(39,1),(43,1)}
        26:{1,3,5,6}:{(13,1),(17,1),(40,1),(43,1),(45,1),(46,1),(50,1),(99,1),(135,1),(162,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(18,1),(41,1),(44,1),(46,1)}
        28:{2,3,4}:{(15,1),(48,1),(49,1)}
        29:{1,3,5}:{(15,1),(16,1),(49,1),(50,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(43,1),(50,1),(51,1),(96,1)}
        31:{1,2,5,7}:{(17,1),(45,1),(51,1),(52,1),(143,1),(167,1)}
        32:{1,2,6}:{(18,1),(46,1)}
        33:{1,3,5}:{(19,1),(21,1),(23,1),(53,1)}
        34:{1,3,4,7}:{(19,1),(22,1),(24,1),(55,1),(106,1),(112,1),(126,1)}
        35:{1,3,4}:{(20,1),(56,1),(57,1)}
        36:{1,2,4,5}:{(20,1),(21,1),(53,1),(57,1),(58,1),(104,1)}
        37:{1,2,5,6}:{(21,1),(54,1),(58,1),(59,1),(60,1),(125,1),(148,1)}
        38:{1,2,5,7}:{(21,1),(22,1),(55,1),(60,1)}
        39:{2,4,5}:{(23,1),(25,1),(53,1),(61,1),(62,1)}
        40:{2,3,5,6}:{(23,1),(26,1),(54,1),(62,1),(64,1),(65,1),(74,1),(111,1),(113,1),(118,1),(119,1),(148,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(27,1),(55,1),(63,1),(65,1)}
        42:{1,3,4,5}:{(25,1),(29,1),(61,1),(67,1),(68,1)}
        43:{1,4,6}:{(25,1),(26,1),(62,1),(69,1)}
        44:{1,4,5,7}:{(25,1),(27,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,3,5,7}:{(26,1),(31,1),(64,1),(69,1),(71,1),(75,1),(124,1),(155,1),(171,1)}
        46:{1,3,6}:{(27,1),(32,1),(65,1),(70,1)}
        47:{1,2,3}:{(72,1)}
        48:{1,3,4}:{(28,1),(72,1),(73,1)}
        49:{2,3,5}:{(28,1),(29,1),(67,1),(73,1),(74,1)}
        50:{1,3,6}:{(29,1),(30,1),(74,1),(75,1)}
        51:{1,2,4,7}:{(30,1),(31,1),(69,1),(75,1),(123,1)}
        52:{1,2,6,7}:{(31,1),(32,1),(71,1),(161,1)}
        53:{1,4,5}:{(33,1),(39,1),(77,1)}
        54:{1,3,5,6}:{(33,1),(37,1),(40,1),(77,1),(79,1),(80,1),(84,1),(101,1),(133,1),(142,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(38,1),(41,1),(78,1),(80,1)}
        56:{2,3,4}:{(35,1),(82,1),(83,1)}
        57:{1,3,5}:{(35,1),(36,1),(83,1),(84,1)}
        58:{1,2,4,6}:{(36,1),(37,1),(77,1),(84,1),(85,1),(130,1)}
        59:{1,2,5,7}:{(37,1),(79,1),(85,1),(86,1),(147,1),(163,1)}
        60:{1,2,6}:{(38,1),(80,1)}
        61:{3,4,5}:{(39,1),(88,1)}
        62:{2,4,6}:{(39,1),(40,1),(43,1),(77,1),(88,1),(90,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(78,1),(89,1),(90,1),(91,1),(141,1)}
        64:{2,3,5,7}:{(40,1),(45,1),(79,1),(90,1),(92,1),(102,1),(136,1),(137,1),(141,1),(143,1),(163,1)}
        65:{2,3,6}:{(41,1),(46,1),(80,1),(91,1)}
        66:{1,4,5,6}:{(43,1),(87,1),(93,1),(94,1),(99,1),(162,1)}
        67:{2,4,5}:{(42,1),(49,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(42,1),(43,1),(50,1),(88,1),(93,1),(96,1),(97,1)}
        69:{1,4,7}:{(43,1),(45,1),(90,1)}
        70:{1,4,6}:{(44,1),(46,1),(91,1),(99,1)}
        71:{1,3,6,7}:{(45,1),(46,1),(52,1),(92,1),(98,1),(174,1)}
        72:{1,2,4}:{(47,1),(48,1),(100,1)}
        73:{1,3,5}:{(48,1),(49,1),(95,1),(100,1),(101,1)}
        74:{2,3,6}:{(49,1),(50,1),(96,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(51,1),(102,1)}
        76:{1,3,4,5}:{(53,1),(57,1),(61,1),(104,1),(105,1)}
        77:{1,4,6}:{(53,1),(54,1),(62,1),(106,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(63,1),(106,1),(107,1),(153,1)}
        79:{1,3,5,7}:{(54,1),(59,1),(64,1),(106,1),(108,1),(112,1),(126,1),(153,1),(160,1)}
        80:{1,3,6}:{(55,1),(60,1),(65,1),(107,1)}
        81:{1,2,3}:{(109,1)}
        82:{1,3,4}:{(56,1),(109,1),(110,1)}
        83:{2,3,5}:{(56,1),(57,1),(104,1),(110,1),(111,1)}
        84:{1,3,6}:{(57,1),(58,1),(111,1),(112,1)}
        85:{1,2,4,7}:{(58,1),(59,1),(106,1),(112,1),(152,1)}
        86:{1,2,6,7}:{(59,1),(60,1),(108,1),(172,1)}
        87:{2,4,5,6}:{(62,1),(66,1),(103,1),(113,1),(114,1),(118,1),(119,1),(148,1),(159,1)}
        88:{3,4,6}:{(61,1),(62,1),(113,1),(115,1)}
        89:{3,4,5,7}:{(61,1),(63,1),(115,1),(116,1),(158,1)}
        90:{2,4,7}:{(62,1),(64,1),(69,1),(106,1),(115,1)}
        91:{2,4,6}:{(63,1),(65,1),(70,1),(107,1),(116,1),(118,1)}
        92:{2,3,6,7}:{(64,1),(65,1),(71,1),(108,1),(117,1),(156,1),(161,1),(172,1)}
        93:{1,3,5,6}:{(66,1),(68,1),(113,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(66,1),(69,1),(114,1),(120,1),(121,1),(124,1),(171,1)}
        95:{1,4,5}:{(67,1),(73,1),(122,1)}
        96:{2,4,6}:{(67,1),(68,1),(74,1),(119,1),(122,1),(123,1)}
        97:{1,3,4,7}:{(68,1),(69,1),(75,1),(115,1),(120,1),(123,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(71,1),(117,1),(124,1)}
        99:{1,5,6}:{(70,1),(118,1),(124,1)}
       100:{1,2,5}:{(72,1),(73,1),(125,1)}
       101:{1,3,6}:{(73,1),(74,1),(122,1),(125,1),(126,1)}
       102:{2,3,7}:{(74,1),(75,1),(123,1),(126,1)}
       103:{1,4,5,6}:{(77,1),(87,1),(127,1),(128,1),(133,1),(142,1)}
       104:{2,4,5}:{(76,1),(83,1),(129,1),(130,1)}
       105:{1,3,4,6}:{(76,1),(77,1),(84,1),(88,1),(127,1),(130,1),(131,1)}
       106:{1,4,7}:{(77,1),(79,1),(90,1)}
       107:{1,4,6}:{(78,1),(80,1),(91,1),(133,1)}
       108:{1,3,6,7}:{(79,1),(80,1),(86,1),(92,1),(132,1),(170,1)}
       109:{1,2,4}:{(81,1),(82,1),(134,1)}
       110:{1,3,5}:{(82,1),(83,1),(129,1),(134,1),(135,1)}
       111:{2,3,6}:{(83,1),(84,1),(130,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(136,1)}
       113:{3,5,6}:{(87,1),(88,1),(137,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(94,1),(128,1),(137,1),(138,1),(141,1),(143,1),(163,1),(169,1)}
       115:{3,4,7}:{(88,1),(90,1),(137,1)}
       116:{3,4,6}:{(89,1),(91,1),(140,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(92,1),(98,1),(132,1),(139,1),(141,1)}
       118:{2,5,6}:{(91,1),(99,1),(133,1),(140,1),(141,1)}
       119:{2,5,6}:{(93,1),(96,1),(142,1),(143,1)}
       120:{1,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(143,1),(144,1)}
       121:{1,4,6,7}:{(94,1),(138,1),(144,1),(145,1),(174,1)}
       122:{1,4,6}:{(95,1),(96,1),(101,1),(142,1),(146,1)}
       123:{2,4,7}:{(96,1),(97,1),(102,1),(143,1),(146,1)}
       124:{1,5,7}:{(98,1),(99,1),(141,1)}
       125:{1,2,6}:{(100,1),(101,1),(147,1)}
       126:{1,3,7}:{(101,1),(102,1),(146,1),(147,1)}
       127:{1,3,5,6}:{(103,1),(105,1),(113,1),(148,1),(149,1)}
       128:{1,4,5,7}:{(103,1),(106,1),(114,1),(149,1),(150,1),(153,1),(160,1)}
       129:{1,4,5}:{(104,1),(110,1),(151,1)}
       130:{2,4,6}:{(104,1),(105,1),(111,1),(148,1),(151,1),(152,1)}
       131:{1,3,4,7}:{(105,1),(106,1),(112,1),(115,1),(149,1),(152,1)}
       132:{1,4,6,7}:{(106,1),(107,1),(108,1),(117,1),(153,1)}
       133:{1,5,6}:{(107,1),(118,1),(153,1)}
       134:{1,2,5}:{(109,1),(110,1),(154,1)}
       135:{1,3,6}:{(110,1),(111,1),(151,1),(154,1),(155,1)}
       136:{2,3,7}:{(111,1),(112,1),(152,1),(155,1)}
       137:{3,5,7}:{(113,1),(114,1),(115,1),(156,1)}
       138:{2,4,6,7}:{(114,1),(121,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,4,6,7}:{(115,1),(116,1),(117,1),(156,1),(158,1),(173,1)}
       140:{3,5,6}:{(116,1),(118,1),(158,1),(159,1)}
       141:{2,5,7}:{(117,1),(118,1),(124,1),(153,1),(158,1)}
       142:{1,5,6}:{(119,1),(122,1),(160,1)}
       143:{2,5,7}:{(119,1),(120,1),(123,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(120,1),(121,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(121,1),(124,1),(157,1)}
       146:{1,4,7}:{(122,1),(123,1),(126,1),(160,1)}
       147:{1,2,7}:{(125,1),(126,1)}
       148:{2,5,6}:{(127,1),(130,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(127,1),(128,1),(131,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(128,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(129,1),(130,1),(135,1),(162,1),(166,1)}
       152:{2,4,7}:{(130,1),(131,1),(136,1),(163,1),(166,1)}
       153:{1,5,7}:{(132,1),(133,1),(141,1)}
       154:{1,2,6}:{(134,1),(135,1),(167,1)}
       155:{1,3,7}:{(135,1),(136,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(141,1),(145,1),(165,1),(168,1)}
       158:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       159:{4,5,6}:{(140,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(158,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1366 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1367 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1368 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1369 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1370 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(6,1),(19,1),(27,1),(30,1),(53,1),(55,1),(86,1),(91,1),(92,1),(120,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(7,1),(27,1),(30,1),(63,1),(98,1)}
         2:{2,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(34,1),(37,1),(43,1),(69,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(41,1),(109,1),(110,1),(134,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(17,1),(36,1),(48,1),(72,1),(74,1),(104,1),(165,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(43,1)}
         6:{1,4,6}:{(1,1),(12,1),(15,1),(17,1),(81,1),(114,1)}
         7:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(48,1),(50,1),(85,1)}
         8:{2,3,6}:{(2,1),(19,1),(20,1),(21,1),(30,1),(64,1),(86,1),(120,1)}
         9:{1,4,6}:{(2,1),(19,1),(22,1),(23,1),(53,1),(60,1)}
        10:{2,5}:{(2,1),(3,1),(22,1)}
        11:{2,4,7}:{(2,1),(4,1),(21,1),(23,1),(25,1),(52,1),(169,1)}
        12:{1,4,5}:{(3,1),(6,1),(24,1),(53,1),(94,1),(125,1),(145,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(26,1),(27,1),(61,1),(150,1),(161,1)}
        14:{1,5,6}:{(5,1),(22,1),(28,1),(29,1),(60,1)}
        15:{2,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1),(31,1),(64,1)}
        16:{2,5,7}:{(5,1),(7,1),(29,1),(31,1),(32,1)}
        17:{1,4,7}:{(6,1),(7,1),(31,1),(99,1),(102,1)}
        18:{1,3,6,7}:{(7,1),(27,1),(32,1),(33,1),(67,1),(150,1)}
        19:{1,3,6}:{(8,1),(9,1),(34,1),(35,1),(36,1),(81,1)}
        20:{2,3,5}:{(8,1),(10,1),(35,1),(37,1),(41,1),(76,1),(103,1),(134,1)}
        21:{2,3,7}:{(8,1),(11,1),(36,1),(48,1),(82,1),(104,1),(171,1)}
        22:{1,5}:{(9,1),(10,1)}
        23:{1,4,7}:{(9,1),(11,1),(36,1),(40,1),(172,1)}
        24:{2,4,5}:{(10,1),(12,1),(15,1),(37,1),(39,1),(41,1),(69,1),(76,1)}
        25:{2,5,7}:{(10,1),(11,1),(13,1),(40,1),(43,1),(157,1),(166,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(17,1),(42,1),(44,1),(50,1),(72,1),(109,1),(111,1),(140,1),(154,1)}
        27:{1,3,6}:{(13,1),(43,1),(44,1),(79,1)}
        28:{1,4,6}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,5,7}:{(14,1),(16,1),(46,1),(47,1)}
        30:{3,6}:{(15,1),(41,1),(48,1)}
        31:{2,4,7}:{(15,1),(16,1),(17,1),(46,1),(48,1),(82,1)}
        32:{2,6,7}:{(16,1),(18,1),(43,1),(47,1),(157,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(115,1),(140,1)}
        34:{2,6}:{(19,1),(51,1),(52,1)}
        35:{1,3,5}:{(19,1),(20,1),(22,1),(51,1),(53,1),(86,1),(94,1),(118,1)}
        36:{1,3,7}:{(19,1),(21,1),(23,1),(52,1),(99,1),(173,1)}
        37:{2,4}:{(20,1),(53,1),(55,1),(145,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(25,1),(54,1),(56,1),(57,1),(61,1),(93,1),(95,1),(119,1),(144,1)}
        39:{1,4,5}:{(22,1),(24,1),(28,1),(53,1),(58,1)}
        40:{1,5,7}:{(22,1),(23,1),(25,1),(60,1),(163,1),(170,1)}
        41:{3,5}:{(24,1),(30,1),(55,1),(86,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(26,1),(31,1),(56,1),(59,1),(61,1),(62,1),(68,1),(87,1),(93,1),(95,1),(102,1),(121,1),(125,1),(130,1),(145,1),(147,1)}
        43:{2,6}:{(25,1),(27,1),(60,1)}
        44:{1,4,6}:{(26,1),(27,1),(62,1),(63,1),(126,1)}
        45:{1,3,6}:{(28,1),(30,1),(58,1),(64,1),(65,1)}
        46:{1,4,7}:{(28,1),(29,1),(31,1),(65,1)}
        47:{1,6,7}:{(29,1),(32,1),(60,1),(163,1)}
        48:{3,7}:{(30,1),(31,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(66,1),(67,1),(68,1),(100,1),(102,1),(130,1)}
        50:{1,5,7}:{(33,1),(63,1),(68,1)}
        51:{2,5}:{(34,1),(35,1),(69,1),(131,1)}
        52:{2,7}:{(34,1),(36,1),(174,1)}
        53:{1,4}:{(35,1),(37,1),(69,1)}
        54:{1,3,5,7}:{(35,1),(36,1),(38,1),(40,1),(70,1),(72,1),(73,1),(104,1),(109,1),(111,1),(132,1),(134,1),(152,1)}
        55:{3,4}:{(37,1),(41,1)}
        56:{2,4,7}:{(37,1),(38,1),(72,1),(74,1),(75,1),(153,1)}
        57:{2,3,6}:{(38,1),(43,1),(73,1),(75,1),(79,1),(112,1)}
        58:{1,3,5}:{(39,1),(41,1),(45,1),(71,1),(76,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(42,1),(46,1),(72,1),(77,1),(78,1),(84,1),(109,1),(117,1),(137,1)}
        60:{1,6}:{(40,1),(43,1)}
        61:{3,5,7}:{(41,1),(42,1),(48,1),(74,1),(79,1),(104,1),(110,1),(134,1),(141,1),(155,1)}
        62:{2,4,6}:{(42,1),(43,1),(44,1),(78,1),(79,1),(80,1),(112,1),(114,1)}
        63:{1,5,6}:{(44,1),(50,1),(80,1),(109,1)}
        64:{2,6}:{(45,1),(76,1),(81,1),(82,1)}
        65:{1,3,7}:{(45,1),(46,1),(48,1),(82,1)}
        66:{1,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(83,1),(84,1),(117,1)}
        67:{3,6,7}:{(48,1),(49,1),(79,1),(85,1),(141,1)}
        68:{2,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1)}
        69:{2,4}:{(51,1),(53,1),(86,1)}
        70:{2,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(121,1),(142,1),(158,1)}
        71:{1,3,4}:{(53,1),(55,1),(58,1),(86,1),(89,1),(118,1)}
        72:{1,4,7}:{(53,1),(54,1),(56,1),(87,1),(91,1),(145,1),(159,1)}
        73:{1,3,6}:{(54,1),(57,1),(60,1),(88,1),(91,1),(120,1),(126,1)}
        74:{3,4,7}:{(55,1),(56,1),(61,1),(92,1),(102,1),(145,1),(160,1)}
        75:{2,4,6}:{(56,1),(57,1),(91,1),(92,1),(93,1)}
        76:{2,5}:{(58,1),(64,1),(89,1),(94,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(61,1),(65,1),(90,1),(95,1),(96,1),(124,1)}
        78:{1,4,6}:{(59,1),(60,1),(62,1),(96,1),(97,1)}
        79:{3,6}:{(61,1),(62,1)}
        80:{2,5,6}:{(62,1),(63,1),(68,1),(93,1),(97,1),(98,1),(121,1)}
        81:{1,6}:{(64,1),(94,1),(99,1)}
        82:{2,7}:{(64,1),(65,1),(99,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(96,1),(100,1),(101,1)}
        84:{1,5,7}:{(66,1),(68,1),(97,1)}
        85:{3,5,7}:{(67,1),(68,1),(98,1),(102,1)}
        86:{3}:{(69,1)}
        87:{2,4,7}:{(69,1),(70,1),(72,1),(104,1),(105,1),(164,1)}
        88:{2,6}:{(70,1),(73,1)}
        89:{2,4}:{(71,1),(76,1),(103,1),(106,1),(131,1)}
        90:{1,3,4,7}:{(71,1),(72,1),(74,1),(77,1),(104,1),(107,1),(108,1),(117,1),(132,1),(141,1)}
        91:{1,4,6}:{(72,1),(73,1),(75,1),(105,1),(109,1)}
        92:{3,4,6}:{(74,1),(75,1),(79,1),(110,1),(114,1)}
        93:{2,5}:{(75,1),(109,1),(110,1)}
        94:{1,5}:{(76,1),(81,1),(106,1)}
        95:{2,5,7}:{(76,1),(77,1),(82,1),(107,1),(111,1),(112,1),(136,1)}
        96:{1,3,6}:{(77,1),(78,1),(79,1),(112,1)}
        97:{1,5,6}:{(78,1),(80,1),(84,1),(109,1)}
        98:{3,5,6}:{(79,1),(80,1),(85,1),(110,1),(114,1),(134,1)}
        99:{1,7}:{(81,1),(82,1)}
       100:{2,6,7}:{(82,1),(83,1),(112,1),(115,1),(116,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(85,1),(113,1),(116,1),(117,1),(141,1)}
       102:{4,7}:{(85,1),(114,1)}
       103:{2,3}:{(86,1),(89,1),(118,1)}
       104:{3,7}:{(86,1),(87,1),(120,1),(168,1)}
       105:{2,4,6}:{(87,1),(88,1),(91,1),(120,1),(121,1),(145,1)}
       106:{1,4}:{(89,1),(94,1),(118,1)}
       107:{2,4,7}:{(89,1),(90,1),(95,1),(119,1),(122,1),(123,1),(142,1)}
       108:{1,3,4,6}:{(90,1),(91,1),(92,1),(96,1),(120,1),(123,1),(124,1),(128,1),(143,1),(145,1),(149,1),(159,1),(160,1),(168,1)}
       109:{1,5}:{(91,1),(93,1),(121,1)}
       110:{3,5}:{(92,1),(93,1),(125,1)}
       111:{1,5,7}:{(94,1),(95,1),(99,1),(122,1),(126,1),(146,1)}
       112:{2,6}:{(95,1),(96,1),(126,1)}
       113:{1,3,5,6}:{(96,1),(97,1),(98,1),(101,1),(124,1),(127,1),(128,1),(149,1)}
       114:{4,6}:{(98,1),(102,1),(125,1),(145,1)}
       115:{1,6,7}:{(99,1),(100,1),(126,1),(129,1)}
       116:{2,5,7}:{(100,1),(101,1),(127,1),(129,1),(130,1)}
       117:{1,4,7}:{(101,1),(102,1),(128,1),(130,1),(163,1)}
       118:{1,3}:{(103,1),(106,1),(131,1)}
       119:{2,3,7}:{(103,1),(104,1),(107,1),(132,1),(133,1),(141,1),(157,1)}
       120:{3,6}:{(104,1),(105,1),(134,1)}
       121:{2,5}:{(105,1),(109,1),(134,1)}
       122:{1,4,7}:{(106,1),(107,1),(111,1),(132,1),(135,1)}
       123:{2,4,6}:{(107,1),(108,1),(112,1),(133,1),(135,1),(136,1),(151,1),(153,1),(164,1)}
       124:{1,3,5}:{(108,1),(109,1),(110,1),(134,1),(136,1),(137,1),(155,1)}
       125:{4,5}:{(110,1),(114,1)}
       126:{1,6}:{(111,1),(112,1)}
       127:{2,5,6}:{(112,1),(113,1),(116,1),(136,1),(138,1),(139,1)}
       128:{1,4,6}:{(113,1),(114,1),(117,1),(137,1),(139,1),(167,1)}
       129:{1,5,7}:{(115,1),(116,1),(138,1),(140,1)}
       130:{2,4,7}:{(116,1),(117,1),(139,1),(140,1),(141,1),(157,1)}
       131:{2}:{(118,1)}
       132:{1,3,7}:{(118,1),(119,1),(122,1),(142,1),(143,1),(163,1)}
       133:{2,3,6}:{(119,1),(120,1),(123,1),(143,1),(144,1),(149,1),(162,1),(168,1)}
       134:{3,5}:{(120,1),(121,1),(145,1)}
       135:{1,4,6}:{(122,1),(123,1),(126,1),(143,1),(146,1),(159,1)}
       136:{2,5}:{(123,1),(124,1),(146,1)}
       137:{1,4,5}:{(124,1),(125,1),(128,1),(145,1),(147,1),(159,1),(170,1)}
       138:{1,5,6}:{(126,1),(127,1),(129,1),(146,1),(148,1)}
       139:{2,4,6}:{(127,1),(128,1),(130,1),(147,1),(148,1),(149,1),(162,1)}
       140:{1,4,7}:{(129,1),(130,1),(148,1),(150,1)}
       141:{3,7}:{(130,1),(149,1)}
       142:{2,7}:{(131,1),(132,1),(151,1)}
       143:{1,3,6}:{(132,1),(133,1),(135,1),(151,1),(152,1),(167,1)}
       144:{2,3,5}:{(133,1),(134,1),(136,1),(152,1),(153,1),(155,1),(166,1),(171,1)}
       145:{4}:{(134,1)}
       146:{1,5}:{(135,1),(136,1)}
       147:{2,4,5}:{(136,1),(137,1),(139,1),(153,1),(154,1),(155,1),(164,1),(166,1)}
       148:{1,4,6}:{(138,1),(139,1),(140,1),(154,1),(156,1)}
       149:{3,6}:{(139,1),(141,1),(155,1)}
       150:{1,3,7}:{(140,1),(141,1),(156,1),(157,1)}
       151:{2,6}:{(142,1),(143,1),(158,1)}
       152:{1,3,5}:{(143,1),(144,1),(146,1),(158,1),(159,1),(168,1),(170,1),(173,1)}
       153:{2,4}:{(144,1),(145,1),(159,1),(160,1)}
       154:{1,4,5}:{(146,1),(147,1),(148,1),(159,1),(161,1)}
       155:{3,5}:{(147,1),(149,1),(160,1),(168,1)}
       156:{1,3,6}:{(148,1),(149,1),(150,1),(161,1),(162,1)}
       157:{2,7}:{(150,1),(162,1),(163,1)}
       158:{2,5}:{(151,1),(152,1),(164,1),(174,1)}
       159:{1,4}:{(152,1),(153,1),(164,1)}
       160:{3,4}:{(153,1),(155,1)}
       161:{1,3,5}:{(154,1),(155,1),(156,1),(165,1),(166,1)}
       162:{2,6}:{(156,1),(157,1),(166,1),(167,1)}
       163:{1,7}:{(157,1),(167,1)}
       164:{2,4}:{(158,1),(159,1),(168,1)}
       165:{1,3,4}:{(159,1),(160,1),(161,1),(168,1),(169,1),(173,1)}
       166:{2,5}:{(161,1),(162,1),(169,1),(170,1)}
       167:{1,6}:{(162,1),(163,1),(170,1)}
       168:{3}:{(164,1)}
       169:{2,4}:{(165,1),(166,1),(171,1),(172,1),(174,1)}
       170:{1,5}:{(166,1),(167,1),(172,1)}
       171:{2,3}:{(168,1),(169,1),(173,1)}
       172:{1,4}:{(169,1),(170,1),(173,1)}
       173:{1,3}:{(171,1),(172,1),(174,1)}
       174:{2}:{(173,1)}

1371 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1372 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1373 :   0:{1,3,5,6,7}:{(2,1),(3,1),(19,1),(20,1),(169,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(25,1),(45,1),(51,1),(65,1),(94,1),(101,1),(116,1),(157,1),(165,1),(168,1),(231,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(35,1),(200,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(74,1),(201,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(201,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(201,1),(260,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(35,1),(41,1),(68,1),(75,1),(87,1),(124,1),(132,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(54,1),(230,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(19,1),(50,1),(232,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(99,1),(101,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(53,1),(101,1),(165,1)}
        11:{2,4,5,6}:{(4,1),(18,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(232,1)}
        12:{2,3,5,7}:{(6,1),(16,1),(24,1),(25,1),(46,1),(157,1),(165,1),(231,1),(278,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(20,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(54,1),(94,1),(101,1),(110,1),(173,1)}
        16:{2,3,4,7}:{(12,1),(29,1),(30,1),(75,1),(87,1),(118,1),(128,1),(190,1),(198,1),(256,1)}
        17:{1,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(258,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(11,1),(31,1),(33,1),(35,1),(73,1),(75,1),(132,1)}
        19:{3,6,7}:{(8,1),(33,1),(260,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(36,1),(75,1),(77,1),(132,1)}
        22:{1,4,5,6}:{(11,1),(31,1),(37,1),(42,1),(84,1),(206,1),(258,1)}
        23:{3,5,6}:{(11,1),(33,1),(38,1),(142,1),(209,1),(260,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(260,1),(294,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(30,1),(40,1),(41,1),(69,1),(293,1)}
        26:{2,5,6}:{(13,1),(14,1),(35,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(67,1),(78,1),(87,1),(121,1),(124,1),(132,1),(135,1),(141,1),(144,1),(146,1),(184,1),(187,1),(199,1),(245,1),(289,1),(293,1)}
        29:{2,3,4,6}:{(16,1),(24,1),(46,1),(47,1),(59,1),(106,1),(113,1),(149,1),(150,1),(175,1),(214,1),(236,1)}
        30:{1,3,4,7}:{(16,1),(25,1),(47,1),(48,1),(93,1),(101,1),(110,1),(161,1),(165,1),(277,1)}
        31:{1,4,5,7}:{(17,1),(18,1),(22,1),(49,1),(54,1),(101,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(49,1),(50,1),(279,1)}
        33:{3,5,7}:{(18,1),(19,1),(23,1),(51,1),(165,1)}
        34:{2,3,6,7}:{(19,1),(21,1),(24,1),(50,1),(52,1),(53,1),(165,1)}
        35:{2,5,7}:{(20,1),(21,1),(26,1),(54,1)}
        36:{1,4,6,7}:{(21,1),(27,1),(53,1),(54,1),(101,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(56,1),(57,1),(237,1),(279,1)}
        38:{3,4,6}:{(23,1),(45,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(46,1),(52,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(304,1)}
        41:{2,5,7}:{(25,1),(48,1),(61,1),(95,1)}
        42:{1,5,6}:{(26,1),(27,1),(54,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(216,1),(232,1),(270,1),(304,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(93,1),(116,1),(154,1),(157,1),(165,1),(231,1),(269,1),(301,1)}
        45:{3,4,5}:{(38,1),(68,1),(209,1),(244,1)}
        46:{2,3,5}:{(29,1),(68,1),(69,1),(144,1),(209,1),(263,1)}
        47:{1,3,4,6}:{(29,1),(30,1),(40,1),(69,1),(70,1),(84,1),(122,1),(137,1),(140,1),(142,1),(181,1),(187,1),(190,1),(262,1)}
        48:{2,4,7}:{(30,1),(41,1),(70,1),(71,1),(194,1)}
        49:{1,3,5,7}:{(31,1),(32,1),(33,1),(37,1),(72,1),(73,1)}
        50:{2,6,7}:{(32,1),(73,1),(74,1),(294,1)}
        51:{3,4,7}:{(33,1),(38,1),(75,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(39,1),(73,1),(75,1),(76,1),(128,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(40,1),(74,1),(76,1),(77,1)}
        54:{1,5,7}:{(35,1),(36,1),(42,1)}
        55:{1,2,4,6,7}:{(36,1),(43,1),(77,1),(78,1),(79,1),(132,1),(134,1),(135,1),(208,1),(247,1),(289,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(72,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(73,1),(80,1),(81,1),(263,1),(294,1)}
        58:{1,2,5,7}:{(41,1),(67,1),(82,1),(83,1),(121,1),(184,1),(293,1)}
        59:{2,4,6}:{(38,1),(39,1),(68,1),(75,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(69,1),(76,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(71,1),(83,1),(86,1),(87,1),(118,1),(125,1),(144,1),(182,1),(184,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(78,1),(85,1),(88,1),(121,1),(144,1),(200,1),(203,1),(207,1),(246,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(260,1),(288,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(135,1),(187,1),(190,1),(198,1),(244,1)}
        66:{1,3,4,5}:{(45,1),(56,1),(91,1),(94,1),(152,1),(157,1),(219,1),(237,1)}
        67:{1,2,4,7}:{(48,1),(58,1),(92,1),(93,1),(110,1),(151,1),(226,1),(277,1)}
        68:{2,4,5}:{(45,1),(46,1),(59,1),(94,1),(214,1)}
        69:{1,3,5}:{(46,1),(47,1),(94,1),(95,1),(157,1),(173,1),(282,1)}
        70:{2,4,6}:{(47,1),(48,1),(61,1),(95,1),(96,1),(158,1),(170,1),(213,1)}
        71:{2,3,7}:{(48,1),(93,1),(96,1),(165,1)}
        72:{1,3,4,7}:{(49,1),(51,1),(56,1),(98,1),(101,1),(161,1),(165,1)}
        73:{2,5,7}:{(49,1),(50,1),(57,1),(98,1),(99,1)}
        74:{1,6,7}:{(50,1),(99,1),(304,1)}
        75:{2,4,7}:{(51,1),(52,1),(59,1),(101,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(99,1),(101,1),(102,1),(161,1),(165,1)}
        77:{2,6,7}:{(53,1),(61,1),(102,1)}
        78:{1,2,5,7}:{(54,1),(55,1),(63,1),(102,1),(104,1),(167,1),(226,1),(239,1),(271,1)}
        79:{1,3,6,7}:{(55,1),(64,1),(103,1),(104,1),(165,1),(301,1),(304,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(98,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(99,1),(107,1),(282,1),(304,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(216,1),(304,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(93,1),(109,1),(110,1),(154,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(101,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(102,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(216,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(158,1),(214,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(104,1),(112,1),(115,1),(116,1),(154,1),(235,1),(282,1),(304,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(168,1),(180,1),(220,1),(223,1),(231,1),(269,1),(275,1),(276,1),(301,1)}
        91:{2,4,5}:{(66,1),(80,1),(119,1),(120,1),(185,1),(249,1),(263,1)}
        92:{1,2,4,6}:{(67,1),(70,1),(82,1),(121,1),(122,1),(140,1),(183,1),(187,1),(203,1),(242,1),(262,1)}
        93:{1,3,7}:{(67,1),(71,1),(118,1),(122,1)}
        94:{1,4,5}:{(68,1),(69,1),(84,1),(124,1),(187,1)}
        95:{2,5}:{(69,1),(70,1)}
        96:{2,3,6}:{(70,1),(71,1),(122,1),(125,1),(142,1),(243,1)}
        97:{2,3,4,7}:{(71,1),(87,1),(123,1),(126,1),(127,1),(198,1),(244,1),(254,1),(256,1),(309,1)}
        98:{2,4,7}:{(72,1),(73,1),(80,1),(128,1),(129,1),(194,1)}
        99:{1,5,7}:{(73,1),(74,1),(81,1),(129,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(82,1),(130,1),(131,1),(247,1),(294,1),(311,1)}
       101:{1,4,7}:{(75,1),(76,1),(84,1),(132,1)}
       102:{2,5,7}:{(76,1),(77,1),(85,1),(132,1),(194,1)}
       103:{2,3,6,7}:{(77,1),(79,1),(86,1),(131,1),(133,1),(134,1),(247,1),(260,1),(294,1)}
       104:{1,3,5,7}:{(78,1),(79,1),(88,1),(133,1),(135,1),(255,1),(293,1)}
       105:{1,3,4,6,7}:{(79,1),(89,1),(134,1),(135,1),(136,1),(198,1),(201,1),(260,1)}
       106:{2,3,6}:{(80,1),(119,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(120,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(121,1),(130,1),(138,1),(139,1),(246,1),(263,1),(294,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(187,1)}
       111:{2,4,6}:{(84,1),(85,1),(124,1),(132,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(125,1),(133,1),(139,1),(142,1),(143,1),(144,1),(182,1),(200,1),(204,1),(209,1),(246,1),(260,1),(263,1),(288,1),(294,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(127,1),(141,1),(144,1),(145,1),(184,1),(191,1),(211,1),(245,1),(254,1),(289,1)}
       115:{1,4,6}:{(88,1),(135,1),(143,1),(146,1),(187,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(189,1),(201,1),(251,1),(253,1),(260,1),(288,1)}
       118:{2,3,7}:{(93,1),(150,1),(151,1),(301,1)}
       119:{2,3,5}:{(91,1),(106,1),(149,1),(152,1),(157,1)}
       120:{1,4,5}:{(91,1),(107,1),(152,1),(272,1),(282,1)}
       121:{1,2,5}:{(92,1),(95,1),(154,1),(173,1),(215,1),(282,1)}
       122:{1,3,6}:{(92,1),(93,1),(96,1),(150,1),(154,1),(267,1)}
       123:{1,3,4,7}:{(93,1),(97,1),(110,1),(151,1),(155,1),(156,1),(275,1),(277,1),(301,1),(313,1)}
       124:{2,4,5}:{(94,1),(95,1),(111,1),(157,1),(158,1)}
       125:{2,3,5}:{(95,1),(96,1),(154,1),(157,1),(158,1)}
       126:{2,3,4,6}:{(96,1),(97,1),(113,1),(155,1),(158,1),(159,1),(160,1),(175,1),(224,1),(236,1),(268,1),(300,1)}
       127:{2,3,5,7}:{(97,1),(114,1),(156,1),(159,1),(160,1),(231,1),(269,1),(278,1),(301,1)}
       128:{2,3,7}:{(98,1),(106,1),(161,1),(165,1)}
       129:{1,4,7}:{(98,1),(99,1),(107,1),(161,1)}
       130:{1,2,5,7}:{(99,1),(100,1),(102,1),(108,1),(162,1),(163,1),(271,1),(278,1),(306,1)}
       131:{1,3,6,7}:{(100,1),(103,1),(109,1),(163,1),(164,1),(279,1)}
       132:{2,4,7}:{(101,1),(102,1),(111,1),(165,1)}
       133:{2,3,5,7}:{(102,1),(103,1),(104,1),(112,1),(163,1),(165,1),(166,1),(167,1),(227,1),(231,1),(271,1),(278,1),(301,1)}
       134:{2,4,6,7}:{(103,1),(105,1),(113,1),(164,1),(166,1),(167,1),(232,1)}
       135:{1,4,7}:{(104,1),(115,1),(166,1)}
       136:{1,3,5,7}:{(105,1),(116,1),(167,1),(168,1),(169,1),(231,1)}
       137:{1,3,6}:{(106,1),(107,1),(152,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(153,1),(162,1),(170,1),(171,1),(172,1),(236,1),(270,1),(302,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(154,1),(163,1),(171,1),(172,1),(173,1),(230,1),(237,1),(279,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(156,1),(173,1),(174,1),(220,1),(239,1),(275,1)}
       142:{3,6}:{(111,1),(157,1),(165,1)}
       143:{2,4,6}:{(112,1),(115,1),(158,1),(166,1),(172,1),(175,1),(176,1),(214,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(160,1),(174,1),(177,1),(216,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(222,1),(234,1),(275,1),(276,1),(281,1),(301,1)}
       149:{2,3,4}:{(119,1),(181,1),(190,1),(249,1),(285,1)}
       150:{2,3,6}:{(118,1),(122,1),(182,1),(183,1),(285,1),(288,1)}
       151:{2,4,7}:{(118,1),(123,1),(183,1),(184,1),(314,1)}
       152:{1,3,5}:{(119,1),(120,1),(137,1),(181,1),(185,1)}
       153:{1,2,4,5}:{(120,1),(121,1),(124,1),(138,1),(185,1),(186,1),(187,1),(206,1),(242,1),(245,1),(249,1),(263,1),(290,1),(307,1)}
       154:{1,3,5}:{(121,1),(122,1),(125,1),(182,1),(187,1)}
       155:{1,3,4,6}:{(122,1),(123,1),(126,1),(140,1),(183,1),(187,1),(188,1),(189,1),(244,1),(251,1),(262,1),(286,1),(288,1),(308,1)}
       156:{1,3,5,7}:{(123,1),(127,1),(141,1),(184,1),(188,1),(189,1),(293,1)}
       157:{3,5}:{(124,1),(142,1),(190,1)}
       158:{2,4}:{(125,1),(187,1),(190,1)}
       159:{2,3,5}:{(126,1),(144,1),(188,1),(191,1),(209,1),(263,1)}
       160:{2,3,6}:{(127,1),(145,1),(189,1),(260,1),(288,1),(294,1)}
       161:{1,3,7}:{(128,1),(129,1),(137,1),(194,1)}
       162:{1,2,4,7}:{(129,1),(130,1),(132,1),(138,1),(194,1),(195,1),(196,1),(256,1),(289,1),(310,1),(314,1)}
       163:{1,3,5,7}:{(130,1),(131,1),(133,1),(139,1),(195,1),(196,1),(197,1)}
       164:{1,4,6,7}:{(131,1),(134,1),(140,1),(196,1),(197,1),(258,1)}
       165:{3,7}:{(132,1),(142,1)}
       166:{2,4,7}:{(133,1),(135,1),(143,1),(196,1),(198,1)}
       167:{2,5,7}:{(134,1),(136,1),(144,1),(197,1),(200,1)}
       168:{1,4,5,7}:{(135,1),(136,1),(146,1),(199,1),(201,1),(293,1)}
       169:{1,3,5,6}:{(136,1),(200,1),(201,1),(260,1)}
       170:{2,6}:{(137,1),(185,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(186,1),(195,1),(204,1),(288,1)}
       172:{1,4,6}:{(139,1),(143,1),(187,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(189,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(190,1),(198,1),(209,1),(244,1),(260,1),(288,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(193,1),(208,1),(211,1),(247,1),(254,1),(289,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(201,1),(210,1),(212,1),(251,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{1,3,4}:{(149,1),(152,1),(213,1),(267,1),(272,1)}
       182:{2,3,5}:{(150,1),(154,1),(214,1),(215,1),(269,1)}
       183:{2,4,6}:{(150,1),(151,1),(155,1),(214,1),(215,1),(216,1),(298,1),(312,1)}
       184:{2,5,7}:{(151,1),(156,1),(215,1),(216,1)}
       185:{2,5}:{(152,1),(170,1),(213,1)}
       186:{1,3,5}:{(153,1),(157,1),(171,1),(218,1),(219,1),(267,1),(269,1)}
       187:{1,4}:{(154,1),(158,1),(214,1)}
       188:{1,3,5}:{(155,1),(159,1),(173,1),(215,1),(220,1),(269,1),(282,1)}
       189:{1,3,6}:{(156,1),(160,1),(174,1),(216,1),(304,1)}
       190:{3,4}:{(157,1),(158,1)}
       191:{2,4,5}:{(158,1),(159,1),(220,1),(223,1),(224,1)}
       192:{2,3,5,6}:{(159,1),(160,1),(177,1),(221,1),(224,1),(225,1),(240,1),(283,1),(300,1)}
       193:{2,3,6,7}:{(160,1),(178,1),(222,1),(225,1),(281,1),(301,1),(305,1)}
       194:{2,7}:{(161,1),(170,1)}
       195:{1,3,7}:{(162,1),(165,1),(171,1),(227,1),(301,1)}
       196:{1,4,7}:{(163,1),(166,1),(172,1)}
       197:{1,5,7}:{(164,1),(167,1),(173,1),(230,1)}
       198:{3,4,7}:{(165,1),(166,1),(175,1),(231,1),(301,1)}
       199:{2,4,5,7}:{(166,1),(167,1),(168,1),(176,1),(229,1),(231,1),(232,1),(278,1)}
       200:{2,5,6}:{(167,1),(169,1),(230,1),(232,1)}
       201:{1,4,6}:{(168,1),(169,1),(232,1),(304,1)}
       202:{1,3,5,6,7}:{(169,1),(180,1),(233,1),(234,1),(281,1)}
       203:{1,2,6}:{(170,1),(217,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(218,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(219,1),(228,1),(236,1),(237,1),(279,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(222,1),(239,1),(275,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(224,1),(232,1),(238,1),(240,1),(241,1),(270,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(234,1),(241,1),(275,1),(306,1)}
       213:{2,4}:{(181,1),(185,1),(243,1)}
       214:{2,4}:{(182,1),(187,1),(244,1)}
       215:{2,5}:{(183,1),(188,1)}
       216:{2,6}:{(184,1),(189,1)}
       217:{1,2,5}:{(185,1),(203,1),(242,1),(248,1),(307,1)}
       218:{2,3,5}:{(185,1),(186,1),(204,1),(243,1),(248,1),(249,1),(263,1),(285,1),(307,1)}
       219:{1,3,4}:{(186,1),(187,1),(190,1),(244,1),(249,1)}
       220:{1,4,5}:{(187,1),(188,1),(191,1),(245,1),(251,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(192,1),(207,1),(246,1),(251,1),(252,1),(288,1),(296,1),(308,1)}
       222:{1,3,6,7}:{(189,1),(193,1),(208,1),(247,1),(252,1),(311,1)}
       223:{3,4,5}:{(190,1),(191,1),(209,1),(253,1)}
       224:{2,4,6}:{(191,1),(192,1),(251,1),(253,1),(254,1)}
       225:{2,3,5,7}:{(192,1),(193,1),(211,1),(252,1),(254,1),(266,1),(297,1),(309,1)}
       226:{1,2,7}:{(194,1),(203,1),(255,1),(314,1)}
       227:{2,3,7}:{(194,1),(195,1),(204,1),(255,1),(256,1),(314,1)}
       228:{1,3,4,7}:{(195,1),(196,1),(198,1),(205,1),(256,1),(257,1)}
       229:{1,4,5,7}:{(196,1),(197,1),(199,1),(206,1),(257,1),(258,1)}
       230:{1,5,6}:{(197,1),(200,1),(258,1)}
       231:{3,5,7}:{(198,1),(199,1),(209,1),(260,1)}
       232:{2,4,6}:{(199,1),(200,1),(201,1),(258,1),(260,1),(294,1)}
       233:{2,5,6,7}:{(200,1),(202,1),(211,1),(259,1),(261,1)}
       234:{1,4,6,7}:{(201,1),(202,1),(212,1),(261,1),(311,1)}
       235:{1,3,6}:{(203,1),(204,1),(248,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(249,1),(256,1),(262,1),(263,1),(294,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(251,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(253,1),(260,1),(266,1),(288,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(254,1),(261,1),(265,1),(266,1),(289,1),(297,1)}
       242:{1,2,4}:{(213,1),(217,1),(267,1),(272,1),(298,1)}
       243:{2,3}:{(213,1),(267,1)}
       244:{3,4}:{(214,1),(269,1)}
       245:{2,4,5}:{(214,1),(215,1),(220,1),(269,1),(270,1)}
       246:{2,5,6}:{(215,1),(216,1),(221,1),(270,1),(271,1),(312,1)}
       247:{2,6,7}:{(216,1),(222,1),(271,1)}
       248:{1,3,5}:{(217,1),(218,1),(235,1),(267,1),(272,1),(282,1)}
       249:{2,4}:{(218,1),(219,1),(272,1)}
       250:{1,3,4,5}:{(219,1),(220,1),(223,1),(237,1),(269,1),(273,1),(274,1),(299,1)}
       251:{1,4,6}:{(220,1),(221,1),(224,1),(270,1),(275,1)}
       252:{1,3,5,7}:{(221,1),(222,1),(225,1),(239,1),(271,1),(275,1),(301,1),(306,1),(313,1)}
       253:{3,4,6}:{(223,1),(224,1),(240,1),(276,1)}
       254:{2,4,7}:{(224,1),(225,1),(275,1),(276,1)}
       255:{1,3,7}:{(226,1),(227,1),(235,1),(277,1)}
       256:{2,4,7}:{(227,1),(228,1),(236,1),(277,1),(278,1)}
       257:{1,3,5,7}:{(228,1),(229,1),(231,1),(237,1),(278,1),(279,1)}
       258:{1,4,6}:{(229,1),(230,1),(232,1),(279,1)}
       259:{1,5,6,7}:{(230,1),(233,1),(239,1),(280,1)}
       260:{3,6}:{(231,1),(232,1)}
       261:{2,4,6,7}:{(232,1),(233,1),(234,1),(241,1),(280,1),(281,1),(305,1)}
       262:{1,4,6}:{(235,1),(236,1),(272,1),(277,1),(282,1),(304,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(274,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(275,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(276,1),(281,1),(301,1)}
       267:{1,3}:{(242,1),(243,1),(285,1)}
       268:{2,3,4}:{(243,1),(244,1),(249,1),(286,1),(287,1)}
       269:{3,5}:{(244,1),(245,1),(288,1)}
       270:{2,4,6}:{(245,1),(246,1),(251,1),(288,1),(289,1)}
       271:{2,5,7}:{(246,1),(247,1),(252,1),(289,1),(314,1)}
       272:{1,4}:{(248,1),(249,1)}
       273:{2,4,5}:{(249,1),(250,1),(263,1),(287,1),(290,1),(291,1),(307,1)}
       274:{1,3,4,6}:{(250,1),(251,1),(253,1),(264,1),(288,1),(291,1),(292,1),(308,1)}
       275:{1,4,7}:{(251,1),(252,1),(254,1),(289,1)}
       276:{3,4,7}:{(253,1),(254,1),(266,1)}
       277:{1,4,7}:{(255,1),(256,1),(262,1),(293,1)}
       278:{2,5,7}:{(256,1),(257,1),(263,1),(293,1),(294,1)}
       279:{1,3,6}:{(257,1),(258,1),(260,1),(294,1)}
       280:{1,4,6,7}:{(258,1),(259,1),(261,1),(265,1),(295,1)}
       281:{3,6,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(291,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(292,1),(295,1),(297,1)}
       285:{2,3}:{(267,1),(298,1)}
       286:{1,3,4}:{(267,1),(268,1),(272,1),(298,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(273,1),(299,1),(300,1)}
       288:{3,6}:{(269,1),(270,1),(301,1)}
       289:{2,4,7}:{(270,1),(271,1),(275,1),(301,1)}
       290:{1,4,5}:{(272,1),(273,1),(282,1),(299,1),(302,1)}
       291:{2,4,6}:{(273,1),(274,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{1,3,4,7}:{(274,1),(275,1),(276,1),(284,1),(301,1),(303,1),(313,1)}
       293:{1,5,7}:{(277,1),(278,1),(282,1),(304,1)}
       294:{2,6}:{(278,1),(279,1),(304,1)}
       295:{1,3,6,7}:{(279,1),(280,1),(281,1),(284,1),(305,1)}
       296:{1,5,6}:{(282,1),(283,1),(302,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(303,1),(305,1),(306,1)}
       298:{2,4}:{(285,1),(286,1),(307,1)}
       299:{1,3,5}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{3,7}:{(288,1),(289,1)}
       302:{1,4,6}:{(290,1),(291,1),(296,1),(308,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(297,1),(309,1),(310,1),(314,1)}
       304:{1,6}:{(293,1),(294,1)}
       305:{2,6,7}:{(294,1),(295,1),(297,1),(311,1)}
       306:{1,5,7}:{(296,1),(297,1),(310,1),(311,1)}
       307:{2,5}:{(298,1),(299,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,3,7}:{(300,1),(301,1),(303,1),(313,1)}
       310:{1,4,7}:{(302,1),(303,1),(306,1),(313,1)}
       311:{1,6,7}:{(304,1),(305,1),(306,1)}
       312:{2,6}:{(307,1),(308,1),(314,1)}
       313:{1,3,7}:{(308,1),(309,1),(310,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1374 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1375 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1376 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(27,1),(55,1),(120,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(45,1),(97,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(156,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(37,1),(42,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(42,1),(82,1),(83,1),(103,1),(218,1),(228,1),(236,1),(242,1),(290,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(68,1),(130,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(27,1),(55,1),(59,1),(68,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(194,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(24,1),(30,1),(52,1),(63,1),(71,1),(106,1),(124,1),(177,1),(195,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(25,1),(184,1),(267,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(25,1),(27,1)}
        15:{1,3,5,6,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(65,1),(68,1)}
        16:{2,4,5,6}:{(7,1),(25,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(263,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(65,1),(74,1),(113,1),(114,1),(127,1),(134,1),(201,1),(208,1),(262,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(33,1),(36,1),(43,1),(78,1),(84,1),(93,1),(144,1),(153,1),(156,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(86,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(230,1)}
        24:{2,4,5,6}:{(12,1),(36,1),(40,1),(41,1),(90,1),(161,1),(231,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(16,1),(42,1),(43,1),(236,1)}
        26:{2,3,4,6,7}:{(14,1),(17,1),(37,1),(42,1),(44,1),(83,1),(147,1),(155,1),(166,1),(236,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(43,1),(45,1)}
        28:{2,5,6,7}:{(15,1),(45,1),(86,1),(92,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(42,1),(47,1),(222,1),(231,1)}
        30:{1,4,5,6}:{(16,1),(43,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(288,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(92,1),(149,1),(150,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(130,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(24,1),(57,1),(58,1),(115,1),(191,1),(194,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(68,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(28,1),(56,1),(60,1),(61,1),(117,1),(125,1),(179,1),(194,1),(264,1),(270,1),(301,1)}
        40:{2,3,5,6}:{(24,1),(57,1),(62,1),(63,1),(71,1),(177,1)}
        41:{1,4,5,6}:{(24,1),(58,1),(63,1),(198,1),(264,1)}
        42:{2,3,5,7}:{(25,1),(26,1),(29,1),(65,1),(184,1),(194,1)}
        43:{1,4,5,7}:{(25,1),(27,1),(30,1),(65,1),(66,1),(201,1)}
        44:{1,3,4,6,7}:{(26,1),(27,1),(31,1),(59,1),(65,1),(67,1),(68,1),(114,1),(127,1),(128,1),(193,1),(201,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(66,1),(68,1)}
        46:{2,3,5,6,7}:{(28,1),(61,1),(68,1),(69,1),(118,1),(126,1),(130,1),(194,1),(206,1),(250,1),(301,1),(314,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(65,1),(70,1),(71,1),(264,1)}
        48:{2,4,5,6}:{(30,1),(66,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(125,1),(138,1),(186,1),(188,1),(201,1),(208,1),(209,1),(262,1),(268,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(189,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(169,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(83,1),(96,1),(139,1),(155,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(86,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(83,1),(84,1),(93,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(41,1),(84,1),(227,1),(230,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(84,1),(86,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(45,1),(80,1),(85,1),(86,1),(87,1),(88,1),(155,1),(288,1),(291,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(46,1),(81,1),(87,1),(88,1),(154,1),(156,1),(163,1),(216,1),(230,1),(240,1),(283,1)}
        62:{2,3,4,6}:{(40,1),(82,1),(83,1),(89,1),(100,1),(161,1),(213,1),(232,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(84,1),(89,1),(90,1)}
        64:{1,2,4,5,6}:{(41,1),(48,1),(85,1),(90,1),(91,1),(98,1),(141,1),(157,1),(158,1),(161,1),(171,1),(211,1),(231,1),(235,1),(242,1),(275,1),(288,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(44,1),(47,1),(92,1),(93,1),(230,1)}
        66:{2,4,5,7}:{(43,1),(45,1),(48,1),(92,1),(93,1),(164,1)}
        67:{2,4,6,7}:{(44,1),(49,1),(86,1),(92,1),(95,1),(150,1),(164,1)}
        68:{3,6,7}:{(45,1),(93,1)}
        69:{2,4,6,7}:{(46,1),(88,1),(96,1),(97,1),(164,1),(238,1),(279,1),(310,1)}
        70:{2,5,6}:{(47,1),(49,1),(92,1)}
        71:{3,5,6}:{(48,1),(93,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(288,1),(291,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(225,1),(290,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(164,1),(224,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(130,1),(194,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(114,1),(175,1),(181,1),(182,1),(193,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(118,1),(180,1),(184,1),(194,1),(200,1),(256,1),(270,1),(304,1)}
        82:{2,3,4,5}:{(62,1),(113,1),(134,1),(199,1),(247,1),(257,1)}
        83:{2,3,4,7}:{(57,1),(62,1),(114,1),(127,1),(181,1),(191,1),(259,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(63,1),(114,1),(115,1)}
        85:{1,2,4,5,7}:{(58,1),(60,1),(64,1),(66,1),(109,1),(115,1),(116,1),(120,1),(125,1),(179,1),(188,1),(191,1),(194,1),(201,1),(251,1),(262,1),(268,1),(299,1),(302,1)}
        86:{2,6,7}:{(59,1),(115,1)}
        87:{1,3,6,7}:{(60,1),(68,1),(111,1),(116,1),(118,1),(303,1),(304,1),(314,1)}
        88:{1,4,6,7}:{(61,1),(69,1),(112,1),(120,1),(201,1),(251,1),(269,1),(300,1)}
        89:{1,3,4,6}:{(62,1),(63,1),(113,1),(114,1),(121,1),(196,1),(198,1)}
        90:{2,5,6}:{(63,1),(115,1),(121,1)}
        91:{1,3,5,6}:{(64,1),(71,1),(116,1),(123,1),(124,1),(177,1),(196,1),(266,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        92:{2,5,7}:{(65,1),(67,1),(70,1)}
        93:{3,5,7}:{(66,1),(68,1),(71,1),(127,1)}
        94:{1,2,4,6,7}:{(67,1),(72,1),(117,1),(125,1),(128,1),(188,1),(193,1),(201,1),(204,1)}
        95:{2,3,6,7}:{(67,1),(68,1),(73,1),(126,1),(128,1),(189,1)}
        96:{3,4,6,7}:{(68,1),(69,1),(127,1),(130,1),(203,1),(298,1),(314,1)}
        97:{2,4,5,7}:{(69,1),(120,1),(130,1),(131,1),(194,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(125,1),(132,1),(209,1),(264,1),(270,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(126,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(127,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(259,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(201,1),(258,1),(267,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(169,1),(231,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(83,1),(139,1),(142,1),(165,1),(228,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(230,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(86,1),(143,1),(146,1),(150,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(88,1),(147,1),(148,1),(217,1),(236,1),(281,1),(291,1)}
       113:{1,3,4,5}:{(82,1),(89,1),(149,1),(223,1),(235,1)}
       114:{1,3,4,7}:{(83,1),(84,1),(89,1),(150,1),(225,1),(227,1)}
       115:{2,5,7}:{(84,1),(86,1),(90,1),(150,1)}
       116:{1,3,5,7}:{(85,1),(87,1),(91,1),(93,1),(144,1),(152,1),(153,1),(225,1),(290,1),(309,1)}
       117:{1,2,6,7}:{(86,1),(151,1),(154,1),(311,1)}
       118:{2,3,6,7}:{(86,1),(87,1),(152,1),(154,1),(155,1),(287,1),(311,1)}
       119:{1,3,4,6,7}:{(87,1),(88,1),(96,1),(147,1),(153,1),(155,1),(156,1),(229,1)}
       120:{1,4,5,7}:{(88,1),(97,1),(148,1),(156,1),(157,1),(230,1)}
       121:{2,4,6}:{(89,1),(90,1),(149,1),(150,1),(159,1)}
       122:{1,2,5,6}:{(90,1),(151,1),(158,1),(160,1),(289,1),(311,1)}
       123:{2,3,5,6}:{(90,1),(91,1),(152,1),(159,1),(160,1),(161,1),(231,1),(232,1),(234,1),(287,1),(289,1),(311,1)}
       124:{1,3,4,6}:{(91,1),(100,1),(153,1),(161,1),(162,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       125:{1,2,5,7}:{(92,1),(94,1),(98,1),(163,1),(230,1),(239,1)}
       126:{2,3,5,7}:{(92,1),(93,1),(95,1),(99,1),(163,1),(164,1)}
       127:{3,4,7}:{(93,1),(100,1),(164,1)}
       128:{1,3,6,7}:{(94,1),(95,1),(101,1),(163,1),(166,1),(225,1)}
       129:{2,3,4,6,7}:{(95,1),(96,1),(102,1),(155,1),(164,1),(167,1),(168,1),(226,1),(238,1),(287,1)}
       130:{3,5,7}:{(96,1),(97,1),(169,1)}
       131:{2,4,5,6}:{(97,1),(157,1),(169,1),(231,1),(238,1),(310,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(163,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(164,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(284,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(203,1),(263,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(264,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(114,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(262,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(117,1),(179,1),(182,1),(188,1),(193,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(189,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(267,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(120,1),(184,1),(185,1),(194,1)}
       149:{2,4,5}:{(113,1),(121,1),(187,1)}
       150:{2,4,7}:{(114,1),(115,1),(121,1),(189,1)}
       151:{1,2,5,7}:{(115,1),(117,1),(122,1),(188,1),(190,1),(302,1)}
       152:{2,3,5,7}:{(115,1),(116,1),(118,1),(123,1),(189,1),(190,1),(191,1),(194,1),(259,1),(302,1)}
       153:{1,3,4,7}:{(116,1),(124,1),(127,1),(181,1),(191,1),(201,1),(251,1),(267,1),(298,1)}
       154:{1,3,6,7}:{(117,1),(118,1),(190,1),(193,1),(303,1)}
       155:{2,4,6,7}:{(118,1),(119,1),(191,1),(193,1),(194,1),(263,1)}
       156:{1,3,5,7}:{(119,1),(120,1),(130,1),(184,1),(194,1),(195,1)}
       157:{1,4,5,6}:{(120,1),(131,1),(185,1),(195,1),(264,1),(269,1),(300,1)}
       158:{1,2,4,6}:{(121,1),(122,1),(186,1),(188,1),(196,1),(198,1),(265,1)}
       159:{2,3,6}:{(121,1),(187,1),(189,1),(196,1)}
       160:{1,3,5,6}:{(122,1),(123,1),(190,1),(196,1),(198,1),(264,1),(266,1),(303,1)}
       161:{2,4,6}:{(123,1),(124,1),(191,1),(198,1),(199,1)}
       162:{1,3,4,5}:{(124,1),(134,1),(199,1),(208,1),(247,1),(266,1),(271,1),(296,1),(313,1)}
       163:{1,3,5,7}:{(125,1),(126,1),(128,1),(132,1),(200,1),(201,1)}
       164:{2,4,7}:{(126,1),(127,1),(133,1),(201,1)}
       165:{3,4,5,7}:{(127,1),(130,1),(134,1),(202,1),(203,1)}
       166:{2,3,6,7}:{(128,1),(135,1),(200,1),(204,1),(259,1),(304,1)}
       167:{1,3,4,6,7}:{(128,1),(129,1),(136,1),(193,1),(201,1),(204,1),(205,1),(260,1),(267,1),(269,1),(303,1),(304,1)}
       168:{2,3,5,7}:{(129,1),(130,1),(137,1),(194,1),(202,1),(205,1),(206,1)}
       169:{3,5,6}:{(130,1),(131,1),(203,1),(314,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(200,1),(207,1),(209,1),(270,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(201,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(288,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(150,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(230,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(225,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(155,1),(217,1),(220,1),(221,1),(226,1),(273,1),(281,1),(287,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(157,1),(222,1),(231,1),(281,1),(291,1)}
       186:{1,2,4,5}:{(149,1),(158,1),(223,1),(235,1),(284,1),(289,1)}
       187:{2,3,5}:{(149,1),(159,1),(223,1),(224,1)}
       188:{1,2,4,7}:{(150,1),(151,1),(158,1),(225,1),(227,1),(285,1)}
       189:{2,3,7}:{(150,1),(159,1),(225,1)}
       190:{1,3,5,7}:{(151,1),(152,1),(154,1),(160,1),(225,1),(227,1),(230,1)}
       191:{2,4,7}:{(152,1),(153,1),(161,1),(227,1)}
       192:{1,3,4,5,7}:{(153,1),(156,1),(162,1),(165,1),(218,1),(228,1),(229,1),(237,1),(280,1),(286,1),(290,1),(309,1)}
       193:{1,4,6,7}:{(154,1),(155,1),(227,1),(230,1),(288,1)}
       194:{2,5,7}:{(155,1),(156,1),(230,1),(231,1)}
       195:{1,3,5,6}:{(156,1),(157,1),(169,1),(222,1),(229,1),(231,1)}
       196:{1,3,6}:{(158,1),(159,1),(223,1),(225,1),(232,1)}
       197:{2,3,4,6}:{(159,1),(161,1),(224,1),(226,1),(233,1),(234,1),(241,1),(287,1),(307,1)}
       198:{1,4,6}:{(160,1),(161,1),(227,1),(235,1)}
       199:{2,4,5}:{(161,1),(162,1),(234,1),(235,1),(289,1)}
       200:{2,3,5,7}:{(163,1),(166,1),(170,1),(236,1),(239,1),(290,1)}
       201:{1,4,7}:{(163,1),(164,1),(171,1),(236,1)}
       202:{2,4,5,7}:{(164,1),(165,1),(168,1),(172,1),(237,1),(238,1)}
       203:{3,4,6}:{(165,1),(169,1),(238,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(173,1),(236,1),(239,1),(285,1),(291,1),(311,1)}
       205:{1,3,5,7}:{(167,1),(168,1),(174,1),(230,1),(237,1),(239,1),(240,1),(290,1)}
       206:{2,3,5,6}:{(168,1),(169,1),(231,1),(238,1),(240,1),(287,1)}
       207:{2,4,6}:{(170,1),(171,1),(236,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(264,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(188,1),(243,1),(248,1),(251,1),(262,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(189,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(259,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(193,1),(251,1),(254,1),(255,1),(260,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(194,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,5}:{(186,1),(187,1),(196,1),(257,1),(258,1)}
       224:{2,3,4}:{(187,1),(258,1)}
       225:{1,3,7}:{(188,1),(189,1),(196,1),(259,1)}
       226:{2,3,4,7}:{(189,1),(191,1),(197,1),(260,1),(261,1),(267,1),(298,1)}
       227:{1,4,7}:{(190,1),(191,1),(198,1)}
       228:{2,4,5,7}:{(191,1),(192,1),(194,1),(199,1),(261,1),(262,1),(263,1),(302,1)}
       229:{1,3,4,6}:{(192,1),(195,1),(203,1),(253,1),(263,1),(269,1),(300,1),(303,1),(304,1),(314,1)}
       230:{1,5,7}:{(193,1),(194,1),(264,1)}
       231:{2,5,6}:{(194,1),(195,1),(263,1),(264,1)}
       232:{2,3,6}:{(196,1),(257,1),(259,1),(265,1)}
       233:{1,3,4,6}:{(196,1),(197,1),(198,1),(258,1),(260,1),(265,1),(266,1),(303,1)}
       234:{2,3,5}:{(197,1),(199,1),(266,1),(271,1),(313,1)}
       235:{1,4,5}:{(198,1),(199,1),(266,1)}
       236:{2,4,7}:{(200,1),(201,1),(207,1),(267,1)}
       237:{1,4,5,7}:{(201,1),(202,1),(205,1),(208,1),(268,1),(269,1)}
       238:{2,4,6}:{(202,1),(203,1),(206,1),(269,1)}
       239:{2,5,7}:{(204,1),(205,1),(209,1),(270,1)}
       240:{1,3,5,6}:{(205,1),(206,1),(264,1),(269,1),(270,1),(303,1),(304,1)}
       241:{3,4,6}:{(207,1),(267,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(288,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(225,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(224,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(285,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(230,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(231,1),(281,1),(283,1),(287,1)}
       257:{2,3,5}:{(223,1),(232,1),(284,1),(289,1)}
       258:{1,3,4}:{(223,1),(224,1),(284,1)}
       259:{2,3,7}:{(225,1),(232,1),(285,1)}
       260:{1,3,4,7}:{(225,1),(226,1),(227,1),(233,1),(285,1),(286,1)}
       261:{2,3,5,7}:{(226,1),(228,1),(234,1),(286,1),(287,1),(290,1),(309,1)}
       262:{1,4,5,7}:{(227,1),(228,1),(230,1),(235,1),(286,1),(288,1)}
       263:{2,4,6}:{(228,1),(229,1),(231,1),(287,1),(288,1),(311,1)}
       264:{1,5,6}:{(230,1),(231,1),(288,1)}
       265:{2,4,6}:{(232,1),(233,1),(284,1),(285,1),(289,1),(311,1)}
       266:{1,3,5}:{(233,1),(234,1),(235,1),(289,1)}
       267:{3,4,7}:{(236,1),(241,1),(290,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(239,1),(242,1),(290,1),(291,1)}
       269:{1,4,6}:{(237,1),(238,1),(240,1),(291,1)}
       270:{2,5,6}:{(239,1),(240,1),(291,1),(311,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(259,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(258,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(264,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4}:{(257,1),(258,1)}
       285:{2,4,7}:{(259,1),(260,1),(265,1),(302,1)}
       286:{1,3,5,7}:{(260,1),(261,1),(262,1),(266,1),(302,1),(303,1)}
       287:{2,3,6}:{(261,1),(263,1),(303,1),(304,1),(314,1)}
       288:{1,4,6}:{(262,1),(263,1),(264,1),(303,1)}
       289:{2,5}:{(265,1),(266,1)}
       290:{3,5,7}:{(267,1),(268,1),(271,1),(304,1)}
       291:{2,4,6}:{(268,1),(269,1),(270,1),(304,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(284,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(285,1),(286,1),(289,1),(311,1)}
       303:{1,3,6}:{(286,1),(287,1),(288,1),(311,1)}
       304:{3,6}:{(290,1),(291,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1377 :   0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(17,1),(19,1),(52,1),(113,1),(132,1),(133,1),(137,1),(138,1),(193,1),(206,1),(210,1)}
         1:{1,2,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(27,1),(39,1),(78,1),(80,1),(83,1),(85,1),(86,1),(143,1),(154,1),(164,1),(170,1),(174,1),(221,1),(233,1),(269,1),(278,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(35,1),(39,1),(85,1),(94,1),(100,1),(170,1),(174,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(40,1),(102,1),(103,1),(152,1),(176,1),(226,1)}
         4:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(52,1),(122,1),(193,1),(200,1),(206,1),(210,1),(251,1),(288,1)}
         5:{1,2,4,6}:{(1,1),(14,1),(15,1),(21,1),(51,1),(56,1),(66,1),(119,1),(139,1),(181,1),(191,1),(248,1),(295,1)}
         6:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(58,1),(59,1),(130,1),(132,1),(133,1),(206,1)}
         7:{2,3,5,7}:{(2,1),(18,1),(19,1),(20,1),(65,1),(193,1),(206,1),(210,1),(256,1)}
         8:{1,4,5,7}:{(2,1),(19,1),(21,1),(50,1),(61,1),(124,1),(132,1),(137,1)}
         9:{2,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(66,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(22,1),(23,1),(52,1),(70,1)}
        11:{1,2,4,6,7}:{(5,1),(24,1),(25,1),(34,1),(74,1),(78,1),(92,1),(158,1),(170,1),(214,1),(269,1)}
        12:{1,3,4,7}:{(4,1),(27,1),(28,1),(78,1),(157,1),(233,1),(241,1),(273,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(39,1),(85,1),(97,1),(143,1),(146,1),(173,1),(220,1)}
        14:{1,3,6}:{(4,1),(5,1),(30,1),(176,1),(226,1),(271,1)}
        15:{1,2,5,6}:{(5,1),(25,1),(31,1),(42,1),(85,1),(101,1),(151,1),(161,1),(164,1),(217,1),(284,1)}
        16:{2,4,6,7}:{(6,1),(9,1),(33,1),(34,1),(35,1),(92,1),(94,1),(170,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(35,1),(36,1),(96,1)}
        18:{2,3,4,7}:{(7,1),(27,1),(37,1),(38,1),(94,1),(146,1),(157,1),(229,1),(239,1),(241,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(37,1),(39,1),(40,1),(99,1),(278,1)}
        20:{2,3,6}:{(7,1),(9,1),(40,1),(176,1),(226,1),(277,1)}
        21:{1,4,6}:{(8,1),(9,1),(40,1),(42,1)}
        22:{2,5,6}:{(9,1),(10,1),(35,1),(42,1),(85,1)}
        23:{1,4,5,6}:{(10,1),(36,1),(43,1),(86,1),(102,1),(152,1),(178,1)}
        24:{1,3,6,7}:{(11,1),(14,1),(46,1),(47,1),(206,1),(288,1),(295,1)}
        25:{1,2,5,7}:{(11,1),(15,1),(47,1),(61,1),(112,1),(131,1),(196,1),(245,1),(296,1)}
        26:{1,3,4,5,7}:{(12,1),(48,1),(49,1),(52,1),(105,1),(113,1),(118,1),(186,1),(187,1),(193,1),(246,1),(247,1),(251,1),(288,1)}
        27:{2,4,7}:{(12,1),(13,1),(50,1),(51,1),(209,1),(250,1)}
        28:{1,3,4,6}:{(12,1),(14,1),(51,1),(52,1),(56,1),(128,1)}
        29:{1,3,5,7}:{(13,1),(50,1),(53,1),(54,1),(122,1),(124,1),(200,1)}
        30:{2,3,6}:{(13,1),(14,1),(51,1),(54,1),(66,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(15,1),(47,1),(52,1),(55,1),(56,1),(200,1),(263,1),(264,1),(295,1)}
        32:{1,3,5,6,7}:{(17,1),(57,1),(58,1),(110,1),(130,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(59,1),(60,1),(130,1),(205,1),(206,1)}
        34:{1,4,6,7}:{(16,1),(21,1),(59,1),(61,1),(132,1)}
        35:{2,5,7}:{(16,1),(17,1),(22,1),(61,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(62,1),(132,1),(208,1)}
        37:{1,3,4,7}:{(18,1),(19,1),(50,1),(63,1),(64,1),(122,1),(132,1),(206,1),(258,1),(265,1)}
        38:{2,3,4,6}:{(18,1),(20,1),(51,1),(64,1),(65,1),(68,1),(128,1),(184,1),(204,1),(212,1),(250,1),(266,1)}
        39:{2,5,7}:{(19,1),(63,1),(66,1),(136,1)}
        40:{1,3,6}:{(19,1),(20,1),(21,1),(66,1),(295,1)}
        41:{2,3,5,6}:{(20,1),(22,1),(60,1),(65,1),(67,1),(68,1),(70,1),(141,1),(212,1)}
        42:{1,5,6}:{(21,1),(22,1),(61,1),(124,1)}
        43:{2,4,5,6}:{(22,1),(23,1),(62,1),(68,1),(69,1),(70,1),(125,1),(139,1),(141,1),(191,1)}
        44:{2,3,4,7}:{(27,1),(71,1),(72,1),(73,1),(97,1),(157,1),(216,1),(229,1),(273,1),(301,1)}
        45:{1,3,4,6,7}:{(24,1),(28,1),(74,1),(75,1),(78,1),(152,1),(157,1),(226,1)}
        46:{2,3,6,7}:{(24,1),(30,1),(74,1),(76,1),(77,1),(92,1),(214,1),(226,1),(277,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(31,1),(77,1),(78,1),(278,1),(279,1)}
        48:{2,4,5,7}:{(26,1),(27,1),(71,1),(80,1),(81,1),(85,1),(143,1),(149,1),(159,1),(216,1),(221,1),(269,1)}
        49:{1,3,4,6}:{(26,1),(81,1),(82,1),(144,1),(152,1),(218,1),(219,1),(226,1),(271,1)}
        50:{1,4,7}:{(27,1),(29,1),(84,1),(233,1)}
        51:{2,4,6}:{(27,1),(28,1),(30,1),(84,1),(85,1)}
        52:{1,3,5}:{(28,1),(85,1),(86,1),(166,1)}
        53:{1,2,5,7}:{(29,1),(39,1),(83,1),(87,1),(143,1),(164,1),(278,1)}
        54:{1,3,6}:{(29,1),(30,1),(84,1),(87,1)}
        55:{2,3,5,6}:{(30,1),(31,1),(77,1),(85,1),(88,1),(89,1),(101,1),(151,1),(166,1),(173,1),(176,1),(217,1),(220,1),(226,1),(235,1),(236,1),(271,1),(277,1)}
        56:{1,4,6}:{(31,1),(78,1),(86,1),(89,1),(233,1)}
        57:{2,5,6,7}:{(32,1),(35,1),(90,1),(91,1),(151,1)}
        58:{1,4,6,7}:{(32,1),(36,1),(91,1),(152,1),(238,1)}
        59:{1,3,6,7}:{(33,1),(34,1),(40,1),(92,1),(93,1),(238,1)}
        60:{2,3,5,7}:{(33,1),(35,1),(41,1),(93,1),(94,1),(96,1),(172,1),(239,1)}
        61:{1,5,7}:{(34,1),(35,1),(42,1)}
        62:{2,4,5,7}:{(35,1),(36,1),(43,1),(91,1),(94,1),(95,1),(96,1),(170,1),(172,1)}
        63:{2,4,7}:{(37,1),(39,1),(97,1),(98,1),(285,1)}
        64:{1,3,4,6}:{(37,1),(38,1),(40,1),(84,1),(98,1),(99,1),(102,1),(163,1),(176,1),(233,1),(237,1),(241,1),(244,1),(286,1)}
        65:{2,3,5}:{(38,1),(85,1),(99,1),(100,1),(166,1),(235,1)}
        66:{2,6}:{(39,1),(40,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(42,1),(93,1),(99,1),(101,1),(102,1),(176,1),(178,1),(244,1)}
        68:{2,4,6}:{(41,1),(94,1),(100,1),(102,1),(103,1)}
        69:{1,4,5,6}:{(42,1),(43,1),(95,1),(102,1),(104,1),(165,1),(225,1)}
        70:{3,5,6}:{(43,1),(96,1),(103,1),(166,1),(176,1),(226,1)}
        71:{2,3,5,7}:{(44,1),(48,1),(105,1),(106,1),(109,1),(193,1),(251,1),(256,1),(288,1)}
        72:{1,3,4,7}:{(44,1),(50,1),(105,1),(107,1),(108,1),(122,1),(246,1),(258,1),(288,1),(309,1)}
        73:{2,3,4,6}:{(44,1),(51,1),(106,1),(108,1),(109,1),(128,1),(135,1),(183,1),(204,1),(209,1),(290,1),(292,1)}
        74:{2,4,6,7}:{(45,1),(46,1),(51,1),(111,1),(112,1),(116,1),(191,1)}
        75:{1,3,5,7}:{(45,1),(52,1),(110,1),(112,1),(113,1),(193,1)}
        76:{1,3,6,7}:{(46,1),(54,1),(111,1),(114,1),(115,1),(255,1)}
        77:{2,3,5,7}:{(46,1),(47,1),(55,1),(112,1),(115,1),(116,1),(131,1),(193,1),(206,1),(245,1),(256,1),(257,1),(288,1)}
        78:{1,4,7}:{(47,1),(56,1),(116,1)}
        79:{1,3,4,6,7}:{(49,1),(117,1),(118,1),(179,1),(189,1),(246,1),(247,1),(254,1),(288,1)}
        80:{1,4,5,7}:{(48,1),(50,1),(105,1),(119,1),(124,1),(186,1),(196,1),(246,1)}
        81:{2,4,6}:{(48,1),(49,1),(106,1),(119,1),(120,1),(181,1)}
        82:{1,3,5,6}:{(49,1),(52,1),(118,1),(120,1),(121,1),(199,1)}
        83:{1,2,4,7}:{(50,1),(53,1),(63,1),(107,1),(122,1),(123,1),(258,1),(296,1)}
        84:{1,4,6}:{(50,1),(51,1),(54,1),(124,1)}
        85:{2,5}:{(51,1),(52,1),(124,1)}
        86:{1,4,5}:{(52,1),(56,1),(125,1),(263,1)}
        87:{1,2,6}:{(53,1),(54,1),(66,1),(181,1),(295,1)}
        88:{1,3,5,6}:{(54,1),(55,1),(115,1),(124,1),(126,1),(127,1),(190,1),(200,1),(202,1),(203,1),(255,1)}
        89:{2,4,6}:{(55,1),(56,1),(116,1),(125,1),(127,1),(128,1),(209,1),(250,1)}
        90:{1,5,6,7}:{(57,1),(61,1),(129,1),(190,1)}
        91:{2,4,6,7}:{(57,1),(58,1),(62,1),(129,1),(130,1),(191,1),(205,1)}
        92:{2,6,7}:{(59,1),(66,1),(131,1)}
        93:{1,3,5,7}:{(59,1),(60,1),(61,1),(67,1),(131,1),(132,1),(206,1),(208,1),(265,1)}
        94:{2,4,7}:{(60,1),(68,1),(132,1),(133,1)}
        95:{1,4,5,7}:{(61,1),(62,1),(69,1),(129,1),(132,1),(134,1)}
        96:{3,5,7}:{(62,1),(70,1),(130,1),(133,1),(206,1)}
        97:{2,3,7}:{(63,1),(122,1),(135,1),(206,1)}
        98:{2,4,6}:{(63,1),(64,1),(66,1),(135,1),(136,1),(209,1),(268,1),(300,1)}
        99:{1,3,5}:{(64,1),(65,1),(124,1),(136,1),(137,1),(210,1),(263,1)}
       100:{2,4,5}:{(65,1),(68,1),(137,1),(138,1),(250,1)}
       101:{2,5,6}:{(66,1),(67,1),(131,1),(136,1),(139,1),(268,1)}
       102:{1,4,6}:{(67,1),(68,1),(132,1),(137,1),(139,1)}
       103:{3,4,6}:{(68,1),(70,1),(133,1),(138,1)}
       104:{1,3,5,6}:{(69,1),(70,1),(134,1),(140,1),(141,1),(202,1),(255,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(80,1),(143,1),(144,1),(148,1),(278,1)}
       106:{2,3,6}:{(71,1),(81,1),(144,1),(226,1),(271,1),(277,1)}
       107:{2,4,7}:{(72,1),(143,1),(146,1),(147,1),(313,1)}
       108:{1,3,4,6}:{(72,1),(73,1),(84,1),(144,1),(147,1),(148,1),(163,1),(218,1),(233,1),(237,1),(271,1),(273,1),(303,1),(304,1)}
       109:{2,3,5}:{(73,1),(85,1),(148,1),(149,1),(166,1),(235,1)}
       110:{1,3,5,6}:{(75,1),(151,1),(152,1),(226,1)}
       111:{1,4,6,7}:{(74,1),(76,1),(84,1),(153,1),(156,1),(225,1)}
       112:{2,5,7}:{(74,1),(75,1),(85,1),(151,1),(153,1)}
       113:{1,4,5,7}:{(75,1),(78,1),(86,1),(152,1),(154,1),(278,1)}
       114:{1,2,6,7}:{(76,1),(87,1),(92,1),(155,1),(214,1),(238,1),(277,1),(306,1)}
       115:{1,3,5,7}:{(76,1),(77,1),(88,1),(153,1),(155,1),(156,1),(228,1)}
       116:{2,4,7}:{(77,1),(78,1),(89,1),(156,1),(157,1)}
       117:{2,4,6,7}:{(79,1),(81,1),(142,1),(158,1),(159,1),(214,1),(216,1),(269,1)}
       118:{1,3,5,7}:{(79,1),(82,1),(159,1),(160,1),(231,1)}
       119:{1,4,6}:{(80,1),(81,1),(144,1),(161,1)}
       120:{2,5,6}:{(81,1),(82,1),(85,1),(159,1),(161,1)}
       121:{1,4,5,6}:{(82,1),(86,1),(152,1),(160,1),(162,1),(218,1),(281,1)}
       122:{1,3,7}:{(83,1),(97,1),(146,1),(163,1)}
       123:{1,2,4,6}:{(83,1),(84,1),(87,1),(98,1),(147,1),(163,1),(164,1),(233,1),(237,1),(284,1),(307,1)}
       124:{1,5}:{(84,1),(85,1)}
       125:{2,4,5}:{(85,1),(86,1),(89,1),(165,1),(166,1),(235,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(101,1),(155,1),(164,1),(167,1),(178,1),(217,1),(235,1),(277,1),(281,1)}
       127:{1,4,6}:{(88,1),(89,1),(156,1),(165,1),(233,1)}
       128:{3,4,6}:{(89,1),(157,1),(166,1),(176,1),(226,1),(241,1),(271,1),(273,1)}
       129:{1,4,6,7}:{(90,1),(91,1),(95,1),(169,1),(225,1)}
       130:{3,6,7}:{(91,1),(96,1),(226,1)}
       131:{2,5,7}:{(92,1),(93,1),(101,1),(170,1),(285,1)}
       132:{1,4,7}:{(93,1),(94,1),(102,1),(170,1)}
       133:{3,4,7}:{(94,1),(96,1),(103,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(104,1),(169,1),(171,1),(172,1)}
       135:{2,3,6}:{(97,1),(98,1),(163,1),(173,1),(176,1),(308,1)}
       136:{2,5}:{(98,1),(99,1)}
       137:{1,4,5}:{(99,1),(100,1),(102,1),(174,1),(233,1)}
       138:{3,4,5}:{(100,1),(103,1),(166,1),(273,1)}
       139:{2,4,6}:{(101,1),(102,1),(170,1),(174,1),(176,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(104,1),(171,1),(175,1),(176,1),(177,1),(244,1)}
       141:{2,5,6}:{(104,1),(172,1),(177,1),(178,1),(235,1),(277,1)}
       142:{2,3,6,7}:{(106,1),(117,1),(179,1),(180,1),(254,1),(288,1),(294,1)}
       143:{2,5,7}:{(105,1),(107,1),(181,1),(185,1)}
       144:{1,3,6}:{(105,1),(106,1),(119,1),(181,1),(295,1)}
       145:{2,3,5,6}:{(106,1),(109,1),(120,1),(180,1),(182,1),(183,1),(199,1),(260,1),(290,1)}
       146:{2,3,7}:{(107,1),(122,1),(184,1),(288,1)}
       147:{2,4,6}:{(107,1),(108,1),(181,1),(184,1),(185,1),(250,1),(310,1),(311,1)}
       148:{1,3,5}:{(108,1),(109,1),(124,1),(185,1),(186,1),(251,1),(263,1)}
       149:{2,4,5}:{(109,1),(183,1),(186,1),(187,1),(209,1)}
       150:{1,3,5,6,7}:{(110,1),(118,1),(188,1),(189,1),(254,1)}
       151:{2,5,6}:{(110,1),(112,1),(190,1),(191,1)}
       152:{1,4,6}:{(110,1),(113,1),(191,1),(295,1)}
       153:{1,5,7}:{(111,1),(112,1),(124,1),(190,1)}
       154:{2,4,5,7}:{(112,1),(113,1),(116,1),(125,1),(191,1),(192,1),(193,1),(256,1)}
       155:{1,2,5,7}:{(114,1),(115,1),(126,1),(131,1),(194,1),(208,1),(245,1),(256,1),(297,1)}
       156:{1,4,7}:{(115,1),(116,1),(127,1)}
       157:{3,4,7}:{(116,1),(128,1),(193,1),(206,1),(288,1)}
       158:{1,4,6,7}:{(117,1),(119,1),(179,1),(196,1),(246,1)}
       159:{2,5,7}:{(117,1),(118,1),(120,1),(196,1)}
       160:{1,4,5,7}:{(118,1),(121,1),(189,1),(197,1),(246,1),(297,1)}
       161:{1,5,6}:{(119,1),(120,1),(124,1),(196,1)}
       162:{2,4,5,6}:{(120,1),(121,1),(125,1),(183,1),(191,1),(197,1),(198,1),(199,1),(248,1),(260,1)}
       163:{1,3,6}:{(122,1),(123,1),(135,1),(184,1),(200,1),(312,1)}
       164:{1,2,5}:{(123,1),(124,1),(136,1),(185,1),(200,1),(263,1)}
       165:{1,4,5}:{(124,1),(125,1),(127,1),(202,1)}
       166:{3,5}:{(125,1),(128,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(139,1),(194,1),(201,1),(203,1),(204,1),(213,1),(248,1),(268,1),(291,1),(310,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(195,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6,7}:{(129,1),(130,1),(134,1),(205,1),(255,1)}
       170:{2,4,7}:{(131,1),(132,1),(139,1),(206,1)}
       171:{1,3,4,7}:{(132,1),(133,1),(134,1),(140,1),(206,1),(207,1),(265,1)}
       172:{2,5,7}:{(134,1),(141,1),(205,1),(207,1),(208,1)}
       173:{2,3,5}:{(135,1),(136,1),(200,1),(209,1),(210,1)}
       174:{2,4,5}:{(136,1),(137,1),(139,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(137,1),(138,1),(140,1),(202,1),(210,1),(211,1),(261,1),(267,1)}
       176:{3,6}:{(139,1),(206,1),(210,1)}
       177:{2,4,6}:{(140,1),(141,1),(207,1),(211,1),(212,1),(213,1),(268,1)}
       178:{1,5,6}:{(141,1),(208,1),(213,1),(263,1),(295,1)}
       179:{1,3,6,7}:{(142,1),(144,1),(158,1),(214,1),(215,1),(306,1)}
       180:{2,3,5,7}:{(142,1),(145,1),(159,1),(215,1),(216,1),(231,1),(280,1),(301,1)}
       181:{2,6}:{(143,1),(144,1)}
       182:{1,3,5,6}:{(144,1),(145,1),(148,1),(161,1),(215,1),(217,1),(218,1),(271,1),(281,1),(303,1)}
       183:{2,4,6}:{(145,1),(149,1),(216,1),(218,1),(219,1)}
       184:{2,3,6}:{(146,1),(147,1),(163,1),(220,1),(271,1),(314,1)}
       185:{2,5}:{(147,1),(148,1)}
       186:{1,4,5}:{(148,1),(149,1),(218,1),(221,1),(233,1)}
       187:{3,4,5}:{(149,1),(166,1),(219,1),(241,1)}
       188:{2,5,6,7}:{(150,1),(151,1),(159,1),(223,1),(224,1)}
       189:{1,4,6,7}:{(150,1),(152,1),(160,1),(224,1),(306,1)}
       190:{1,5,6}:{(151,1),(153,1),(225,1)}
       191:{2,4,6}:{(151,1),(152,1),(154,1),(225,1),(226,1),(277,1)}
       192:{1,4,5,7}:{(153,1),(154,1),(156,1),(165,1),(225,1),(227,1)}
       193:{3,5,7}:{(154,1),(157,1),(166,1),(226,1)}
       194:{1,2,4,7}:{(155,1),(156,1),(167,1),(170,1),(228,1),(229,1),(240,1),(269,1),(285,1),(302,1),(313,1)}
       195:{1,3,4,7}:{(156,1),(157,1),(168,1),(227,1),(228,1),(229,1)}
       196:{1,5,7}:{(158,1),(159,1),(161,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(216,1),(224,1),(230,1),(231,1),(269,1),(280,1)}
       198:{1,4,5,6}:{(161,1),(162,1),(165,1),(218,1),(225,1),(230,1),(232,1)}
       199:{3,5,6}:{(162,1),(166,1),(219,1),(226,1),(231,1),(271,1)}
       200:{1,3,5}:{(163,1),(164,1),(173,1),(220,1),(233,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(167,1),(174,1),(221,1),(233,1),(234,1),(235,1),(243,1),(275,1),(282,1),(287,1),(305,1),(307,1)}
       202:{1,3,5}:{(165,1),(166,1),(168,1),(235,1)}
       203:{1,3,6}:{(167,1),(176,1),(228,1),(234,1),(236,1),(271,1)}
       204:{2,4,6}:{(168,1),(229,1),(235,1),(236,1),(237,1),(277,1),(282,1)}
       205:{2,6,7}:{(169,1),(172,1),(238,1),(277,1)}
       206:{3,7}:{(170,1),(176,1)}
       207:{2,4,7}:{(171,1),(172,1),(177,1),(239,1),(240,1),(285,1)}
       208:{1,5,7}:{(172,1),(178,1),(238,1),(240,1)}
       209:{2,4}:{(173,1),(233,1),(241,1)}
       210:{3,5}:{(174,1),(176,1),(241,1)}
       211:{2,4,5}:{(175,1),(177,1),(235,1),(242,1),(243,1),(282,1),(287,1)}
       212:{2,3,6}:{(176,1),(177,1),(239,1),(242,1),(244,1)}
       213:{1,4,6}:{(177,1),(178,1),(240,1),(243,1),(244,1)}
       214:{2,6,7}:{(179,1),(181,1),(245,1)}
       215:{1,3,5,7}:{(179,1),(180,1),(182,1),(196,1),(245,1),(246,1),(288,1),(297,1),(309,1)}
       216:{2,4,7}:{(180,1),(183,1),(246,1),(247,1)}
       217:{2,5,6}:{(181,1),(182,1),(185,1),(245,1),(248,1),(310,1)}
       218:{1,4,6}:{(182,1),(183,1),(186,1),(246,1),(248,1)}
       219:{3,4,6}:{(183,1),(187,1),(199,1),(247,1)}
       220:{2,3,5}:{(184,1),(185,1),(200,1),(250,1),(251,1)}
       221:{2,4,5}:{(185,1),(186,1),(248,1),(250,1),(251,1)}
       222:{1,3,4,5}:{(186,1),(187,1),(202,1),(249,1),(251,1),(252,1),(261,1),(293,1)}
       223:{1,5,6,7}:{(188,1),(190,1),(196,1),(253,1)}
       224:{2,4,6,7}:{(188,1),(189,1),(191,1),(197,1),(253,1),(254,1),(294,1)}
       225:{1,4,6}:{(190,1),(191,1),(192,1),(255,1)}
       226:{3,6}:{(191,1),(193,1)}
       227:{1,3,5,7}:{(192,1),(193,1),(195,1),(202,1),(255,1),(256,1)}
       228:{1,3,7}:{(194,1),(203,1),(206,1),(257,1),(288,1)}
       229:{2,4,7}:{(195,1),(204,1),(256,1),(257,1),(258,1)}
       230:{1,4,5,7}:{(196,1),(197,1),(198,1),(246,1),(253,1),(259,1)}
       231:{3,5,7}:{(197,1),(199,1),(247,1),(254,1),(288,1)}
       232:{1,3,5,6}:{(198,1),(199,1),(202,1),(249,1),(255,1),(259,1),(260,1)}
       233:{1,4}:{(200,1),(209,1),(250,1)}
       234:{1,3,5}:{(201,1),(203,1),(210,1),(251,1),(261,1),(262,1),(312,1)}
       235:{2,5}:{(202,1),(204,1),(263,1)}
       236:{2,3,6}:{(203,1),(204,1),(257,1),(262,1),(264,1),(268,1),(310,1)}
       237:{1,4,6}:{(204,1),(258,1),(263,1),(264,1),(295,1),(298,1)}
       238:{1,6,7}:{(205,1),(208,1),(295,1)}
       239:{2,3,7}:{(206,1),(207,1),(212,1),(265,1)}
       240:{1,4,7}:{(207,1),(208,1),(213,1),(265,1)}
       241:{3,4}:{(209,1),(210,1)}
       242:{2,3,5}:{(210,1),(211,1),(212,1),(266,1),(267,1)}
       243:{1,4,5}:{(211,1),(213,1),(263,1),(267,1),(298,1)}
       244:{1,3,6}:{(212,1),(213,1),(265,1),(267,1),(268,1)}
       245:{2,5,7}:{(214,1),(215,1),(217,1),(269,1),(313,1)}
       246:{1,4,7}:{(215,1),(216,1),(218,1),(269,1)}
       247:{3,4,7}:{(216,1),(219,1),(231,1)}
       248:{2,4,6}:{(217,1),(218,1),(221,1),(269,1),(271,1)}
       249:{1,3,4,6}:{(218,1),(219,1),(222,1),(232,1),(270,1),(271,1),(272,1),(303,1)}
       250:{2,4}:{(220,1),(233,1),(273,1)}
       251:{3,5}:{(221,1),(271,1),(273,1)}
       252:{2,4,5}:{(222,1),(235,1),(272,1),(274,1),(275,1),(282,1),(305,1)}
       253:{1,4,6,7}:{(223,1),(224,1),(225,1),(230,1),(276,1)}
       254:{3,6,7}:{(224,1),(226,1),(231,1)}
       255:{1,3,6}:{(225,1),(226,1),(227,1),(277,1)}
       256:{2,5,7}:{(227,1),(229,1),(235,1),(277,1),(278,1)}
       257:{2,3,7}:{(228,1),(229,1),(236,1),(279,1),(285,1),(313,1)}
       258:{1,4,7}:{(229,1),(237,1),(278,1),(279,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(232,1),(270,1),(276,1),(280,1)}
       260:{2,5,6}:{(232,1),(235,1),(272,1),(277,1),(280,1),(281,1)}
       261:{1,3,4}:{(233,1),(234,1),(241,1),(273,1),(282,1)}
       262:{2,3,5}:{(234,1),(235,1),(236,1),(282,1),(283,1),(287,1),(305,1),(308,1),(314,1)}
       263:{1,5}:{(235,1),(237,1)}
       264:{1,3,6}:{(236,1),(237,1),(279,1),(283,1),(284,1)}
       265:{1,3,7}:{(239,1),(240,1),(244,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(282,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(285,1),(287,1)}
       269:{2,4,7}:{(245,1),(246,1),(248,1),(288,1)}
       270:{1,3,4,7}:{(246,1),(247,1),(249,1),(259,1),(288,1),(289,1),(309,1)}
       271:{3,6}:{(248,1),(251,1),(288,1)}
       272:{2,4,6}:{(249,1),(252,1),(260,1),(289,1),(290,1),(291,1),(310,1)}
       273:{3,4}:{(250,1),(251,1)}
       274:{2,3,5}:{(251,1),(252,1),(290,1),(292,1),(293,1)}
       275:{1,4,5}:{(252,1),(263,1),(291,1),(293,1),(298,1)}
       276:{1,3,6,7}:{(253,1),(254,1),(255,1),(259,1),(294,1)}
       277:{2,6}:{(255,1),(256,1),(295,1)}
       278:{1,5,7}:{(256,1),(258,1),(263,1),(295,1)}
       279:{1,3,7}:{(257,1),(258,1),(264,1),(296,1)}
       280:{2,5,7}:{(259,1),(260,1),(289,1),(294,1),(297,1)}
       281:{1,5,6}:{(260,1),(263,1),(291,1),(295,1),(297,1)}
       282:{2,4}:{(261,1),(262,1),(298,1)}
       283:{1,3,5}:{(262,1),(263,1),(264,1),(298,1),(299,1),(312,1)}
       284:{1,2,6}:{(264,1),(268,1),(296,1),(299,1),(310,1)}
       285:{2,7}:{(265,1),(268,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{3,7}:{(269,1),(271,1)}
       289:{2,4,7}:{(270,1),(272,1),(280,1),(301,1),(302,1),(313,1)}
       290:{2,3,6}:{(271,1),(272,1),(274,1),(301,1),(303,1)}
       291:{1,4,6}:{(272,1),(275,1),(281,1),(302,1),(303,1)}
       292:{2,3,4}:{(273,1),(274,1),(282,1),(304,1),(308,1)}
       293:{1,3,5}:{(274,1),(275,1),(303,1),(304,1),(305,1)}
       294:{2,6,7}:{(276,1),(277,1),(280,1),(306,1)}
       295:{1,6}:{(277,1),(278,1)}
       296:{1,2,7}:{(279,1),(284,1),(285,1),(313,1)}
       297:{1,5,7}:{(280,1),(281,1),(302,1),(306,1)}
       298:{1,4}:{(282,1),(283,1)}
       299:{1,2,5}:{(283,1),(284,1),(287,1),(305,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{2,3,7}:{(288,1),(289,1),(290,1),(309,1)}
       302:{1,4,7}:{(289,1),(291,1),(297,1),(309,1)}
       303:{1,3,6}:{(290,1),(291,1),(293,1),(309,1),(310,1)}
       304:{1,3,4}:{(292,1),(293,1),(298,1),(311,1),(312,1)}
       305:{2,5}:{(293,1),(310,1),(311,1)}
       306:{1,6,7}:{(294,1),(295,1),(297,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(301,1),(302,1),(303,1),(313,1)}
       310:{2,6}:{(303,1),(305,1),(313,1)}
       311:{2,4}:{(304,1),(305,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1378 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1379 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1380 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(6,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(5,1),(7,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(84,1),(121,1)}
         5:{3,4,6,7}:{(2,1),(3,1),(12,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(115,1)}
         7:{2,4,5,7}:{(3,1),(4,1),(12,1),(14,1),(15,1),(96,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(11,1),(14,1),(16,1)}
         9:{1,4,5,6}:{(4,1),(15,1),(16,1),(17,1),(67,1),(116,1)}
        10:{2,3,4,5}:{(11,1),(18,1),(69,1),(100,1)}
        11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(73,1),(84,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(7,1),(21,1),(22,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(23,1),(106,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(19,1),(21,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(9,1),(22,1),(24,1),(25,1),(81,1),(106,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(20,1),(24,1),(26,1),(27,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(26,1),(27,1),(51,1),(79,1),(107,1)}
        18:{1,3,4,5}:{(10,1),(20,1),(28,1),(52,1),(53,1),(85,1)}
        19:{2,3,4,7}:{(11,1),(14,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(16,1),(18,1),(29,1),(30,1),(38,1),(57,1),(67,1)}
        21:{2,3,6,7}:{(12,1),(14,1),(31,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(15,1),(31,1),(32,1)}
        23:{2,5,6,7}:{(13,1),(32,1),(33,1),(94,1)}
        24:{1,3,5,7}:{(14,1),(15,1),(16,1),(29,1),(31,1),(34,1),(35,1)}
        25:{2,4,5,7}:{(15,1),(17,1),(32,1),(34,1),(35,1),(62,1),(64,1),(94,1)}
        26:{2,5,6}:{(16,1),(30,1),(34,1)}
        27:{3,5,6}:{(17,1),(35,1),(38,1)}
        28:{2,4,5}:{(18,1),(30,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(24,1),(41,1),(49,1),(71,1),(81,1)}
        30:{2,4,6}:{(20,1),(26,1),(28,1),(41,1),(43,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1)}
        32:{2,4,6,7}:{(22,1),(23,1),(25,1),(44,1),(45,1),(46,1)}
        33:{3,5,6,7}:{(23,1),(45,1),(46,1),(78,1)}
        34:{2,5,7}:{(24,1),(26,1),(41,1),(44,1)}
        35:{3,5,7}:{(25,1),(27,1),(45,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(42,1),(47,1),(50,1),(104,1),(119,1)}
        37:{2,3,5,6}:{(26,1),(27,1),(43,1),(48,1),(50,1),(51,1),(75,1),(103,1),(107,1)}
        38:{3,4,6}:{(27,1),(49,1),(51,1),(52,1)}
        39:{1,2,4,5}:{(28,1),(42,1),(53,1),(85,1),(86,1),(104,1)}
        40:{2,3,5}:{(28,1),(43,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(34,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(36,1),(39,1),(55,1),(57,1),(67,1),(90,1)}
        43:{2,3,6}:{(30,1),(40,1),(56,1),(57,1)}
        44:{2,6,7}:{(31,1),(34,1)}
        45:{3,6,7}:{(32,1),(35,1)}
        46:{4,6,7}:{(33,1),(62,1)}
        47:{1,2,5,7}:{(34,1),(36,1),(55,1),(59,1),(63,1),(112,1)}
        48:{2,3,5,7}:{(34,1),(35,1),(37,1),(56,1),(60,1),(63,1),(64,1),(94,1)}
        49:{3,4,7}:{(35,1),(38,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(57,1),(63,1),(66,1),(67,1),(91,1),(113,1),(116,1)}
        51:{2,4,6}:{(37,1),(38,1),(64,1),(67,1),(68,1)}
        52:{3,4,5}:{(38,1),(68,1)}
        53:{1,3,5}:{(39,1),(40,1),(57,1),(69,1),(70,1)}
        54:{2,3,4}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(47,1),(71,1),(81,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(53,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(51,1),(54,1),(72,1),(74,1),(75,1),(103,1)}
        59:{1,2,6,7}:{(44,1),(47,1),(76,1),(119,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(77,1),(103,1)}
        61:{3,4,6,7}:{(45,1),(46,1),(49,1),(77,1),(78,1),(83,1)}
        62:{4,5,7}:{(46,1),(78,1),(79,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(71,1),(76,1),(80,1),(81,1),(106,1)}
        64:{2,4,7}:{(48,1),(49,1),(51,1),(81,1)}
        65:{3,4,5,7}:{(49,1),(52,1),(78,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(50,1),(73,1),(80,1),(84,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        67:{1,4,6}:{(50,1),(51,1),(81,1),(84,1),(85,1)}
        68:{2,4,5}:{(51,1),(52,1),(75,1),(85,1)}
        69:{2,3,5}:{(53,1),(73,1),(86,1),(104,1)}
        70:{1,3,4}:{(53,1),(54,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(64,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(69,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(67,1),(70,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(68,1),(91,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(63,1),(92,1),(93,1),(113,1)}
        77:{2,4,6,7}:{(60,1),(61,1),(64,1),(93,1),(94,1),(98,1)}
        78:{3,5,7}:{(61,1),(62,1),(94,1),(95,1)}
        79:{4,5,6}:{(62,1),(95,1)}
        80:{2,3,5,7}:{(63,1),(66,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(96,1)}
        82:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(94,1),(97,1),(98,1)}
        83:{3,4,6}:{(65,1),(95,1),(98,1)}
        84:{2,4,6}:{(66,1),(67,1),(96,1),(99,1),(100,1)}
        85:{1,4,5}:{(67,1),(68,1),(91,1),(100,1)}
        86:{2,4}:{(69,1),(70,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(81,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(82,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(86,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(85,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(76,1),(80,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(76,1),(77,1),(81,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(77,1),(78,1),(106,1),(107,1)}
        95:{3,5,6}:{(78,1),(79,1),(83,1),(107,1)}
        96:{2,4,7}:{(80,1),(81,1),(84,1),(108,1)}
        97:{1,4,5,7}:{(81,1),(82,1),(85,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(82,1),(83,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(84,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(84,1),(85,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1381 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(14,1),(50,1),(82,1),(83,1),(93,1),(94,1),(104,1),(144,1),(147,1),(158,1),(211,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(28,1),(57,1),(67,1),(70,1),(111,1),(124,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(181,1),(241,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(35,1),(41,1),(82,1),(83,1),(144,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(15,1),(44,1),(144,1),(158,1),(211,1),(264,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(38,1),(82,1),(93,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(22,1),(55,1),(57,1),(111,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(22,1),(23,1),(61,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(24,1),(25,1),(175,1)}
        12:{1,4,6,7}:{(4,1),(23,1),(25,1),(116,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(26,1),(27,1),(57,1),(70,1),(117,1),(177,1),(178,1),(192,1),(238,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1),(66,1),(284,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(241,1),(283,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(59,1),(63,1),(70,1),(111,1),(114,1),(120,1),(124,1),(126,1),(131,1),(137,1),(176,1),(182,1),(187,1),(245,1),(284,1),(285,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(22,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(23,1),(34,1),(73,1),(137,1),(138,1),(181,1)}
        20:{2,3,6,7}:{(9,1),(15,1),(35,1),(36,1),(41,1),(87,1),(144,1)}
        21:{1,4,6,7}:{(9,1),(17,1),(35,1),(38,1),(82,1)}
        22:{2,5,7}:{(9,1),(10,1),(18,1),(38,1)}
        23:{1,4,5,7}:{(10,1),(12,1),(19,1),(39,1),(82,1),(148,1)}
        24:{1,5,6,7}:{(11,1),(38,1),(40,1),(205,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(87,1),(210,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(42,1),(43,1),(82,1),(88,1),(95,1),(144,1),(212,1),(265,1)}
        27:{2,3,4,6}:{(13,1),(15,1),(43,1),(44,1),(49,1),(99,1),(150,1),(167,1),(168,1),(216,1),(225,1),(230,1)}
        28:{2,5,7}:{(14,1),(42,1),(47,1),(92,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(297,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(36,1),(44,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(88,1),(104,1),(144,1),(153,1),(158,1),(211,1),(270,1),(298,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(210,1),(214,1),(269,1),(297,1)}
        33:{1,5,6}:{(17,1),(18,1),(38,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(39,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(210,1)}
        35:{1,3,6,7}:{(20,1),(21,1),(29,1),(55,1),(56,1),(116,1)}
        36:{2,3,5,7}:{(20,1),(22,1),(30,1),(56,1),(57,1),(61,1),(115,1),(178,1)}
        37:{1,2,4,6,7}:{(21,1),(32,1),(55,1),(58,1),(59,1),(109,1),(111,1),(114,1),(195,1),(243,1),(285,1)}
        38:{1,5,7}:{(21,1),(22,1),(33,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(25,1),(34,1),(57,1),(60,1),(61,1),(111,1),(115,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(236,1)}
        41:{3,6,7}:{(25,1),(61,1),(241,1)}
        42:{2,4,7}:{(26,1),(28,1),(64,1),(65,1),(242,1)}
        43:{1,3,4,6}:{(26,1),(27,1),(29,1),(65,1),(66,1),(73,1),(119,1),(127,1),(133,1),(187,1),(192,1),(203,1),(254,1),(259,1)}
        44:{2,3,5}:{(27,1),(66,1),(67,1),(131,1),(202,1),(258,1)}
        45:{1,2,5,7}:{(28,1),(63,1),(68,1),(69,1),(120,1),(182,1),(284,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(64,1),(68,1),(70,1),(71,1),(117,1),(123,1),(131,1),(182,1),(184,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(56,1),(66,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(57,1),(67,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(114,1),(177,1),(187,1),(192,1),(246,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(241,1),(286,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(59,1),(72,1),(77,1),(120,1),(131,1),(175,1),(196,1),(244,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(60,1),(73,1),(78,1),(197,1),(236,1)}
        54:{3,5,6}:{(34,1),(61,1),(74,1),(133,1),(202,1),(241,1)}
        55:{2,6,7}:{(35,1),(47,1),(81,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(38,1),(48,1),(81,1),(82,1),(144,1),(148,1),(212,1)}
        57:{2,4,7}:{(36,1),(49,1),(82,1),(83,1)}
        58:{1,3,6,7}:{(37,1),(51,1),(80,1),(85,1),(144,1),(297,1),(298,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(52,1),(81,1),(85,1),(142,1),(227,1),(266,1),(268,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(40,1),(53,1),(82,1),(86,1)}
        61:{3,5,7}:{(39,1),(41,1),(54,1),(83,1),(144,1)}
        62:{1,3,6,7}:{(40,1),(41,1),(86,1),(87,1),(263,1)}
        63:{1,2,4,7}:{(42,1),(45,1),(88,1),(89,1),(95,1),(149,1),(265,1),(266,1)}
        64:{2,3,7}:{(42,1),(88,1),(91,1),(144,1)}
        65:{2,4,6}:{(42,1),(43,1),(47,1),(91,1),(92,1),(157,1),(234,1),(278,1)}
        66:{1,3,5}:{(43,1),(44,1),(92,1),(93,1),(158,1),(161,1),(281,1)}
        67:{2,4,5}:{(44,1),(49,1),(93,1),(94,1),(216,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(88,1),(95,1),(96,1),(153,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(214,1),(297,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(157,1),(216,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(214,1)}
        72:{2,5,6}:{(47,1),(48,1),(81,1),(92,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(82,1),(93,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(83,1),(94,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(147,1),(151,1),(170,1),(211,1),(219,1),(224,1),(270,1),(272,1),(277,1),(298,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(85,1),(100,1),(104,1),(105,1),(153,1),(231,1),(281,1),(297,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(86,1),(102,1),(106,1),(229,1),(263,1)}
        79:{1,2,6,7}:{(55,1),(69,1),(107,1),(108,1),(116,1),(243,1),(283,1),(306,1)}
        80:{2,3,6,7}:{(55,1),(58,1),(71,1),(107,1),(109,1),(110,1),(241,1),(243,1),(283,1)}
        81:{2,5,7}:{(55,1),(56,1),(72,1),(111,1),(242,1)}
        82:{1,4,7}:{(56,1),(57,1),(73,1),(111,1)}
        83:{3,4,7}:{(57,1),(61,1),(74,1)}
        84:{1,3,4,6,7}:{(58,1),(76,1),(109,1),(113,1),(114,1),(177,1),(181,1),(241,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(77,1),(110,1),(114,1),(239,1),(284,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(78,1),(112,1),(115,1)}
        87:{2,6,7}:{(62,1),(115,1),(116,1),(283,1)}
        88:{1,3,7}:{(63,1),(64,1),(117,1),(119,1)}
        89:{1,2,4,6}:{(63,1),(65,1),(69,1),(119,1),(120,1),(127,1),(183,1),(187,1),(259,1),(260,1),(292,1)}
        90:{2,3,4,7}:{(64,1),(70,1),(118,1),(121,1),(122,1),(177,1),(238,1),(246,1),(252,1),(307,1)}
        91:{2,3,6}:{(64,1),(65,1),(119,1),(123,1),(133,1),(293,1)}
        92:{2,5}:{(65,1),(66,1)}
        93:{1,4,5}:{(66,1),(67,1),(73,1),(124,1),(187,1)}
        94:{3,4,5}:{(67,1),(74,1),(202,1),(246,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(187,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(108,1),(120,1),(128,1),(129,1),(138,1),(244,1),(258,1),(283,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(121,1),(126,1),(130,1),(131,1),(182,1),(191,1),(200,1),(245,1),(252,1),(285,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(110,1),(123,1),(128,1),(131,1),(132,1),(133,1),(175,1),(184,1),(199,1),(202,1),(241,1),(244,1),(258,1),(283,1),(286,1)}
       101:{2,4,6}:{(72,1),(73,1),(111,1),(124,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(112,1),(125,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(181,1),(185,1),(241,1),(248,1),(253,1),(286,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(114,1),(132,1),(137,1),(187,1)}
       106:{2,5,6}:{(78,1),(115,1),(134,1),(138,1),(258,1),(283,1)}
       107:{1,3,6,7}:{(79,1),(80,1),(96,1),(139,1),(140,1),(263,1)}
       108:{1,2,5,7}:{(79,1),(81,1),(97,1),(140,1),(141,1),(148,1),(264,1),(268,1),(305,1)}
       109:{2,4,6,7}:{(80,1),(84,1),(99,1),(139,1),(142,1),(143,1),(210,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(85,1),(100,1),(140,1),(142,1),(143,1),(144,1),(208,1),(211,1),(264,1),(268,1),(298,1)}
       111:{2,4,7}:{(81,1),(82,1),(101,1),(144,1)}
       112:{1,3,4,7}:{(82,1),(83,1),(86,1),(102,1),(144,1),(145,1),(212,1)}
       113:{1,3,5,7}:{(84,1),(104,1),(142,1),(146,1),(147,1),(211,1)}
       114:{1,4,7}:{(85,1),(105,1),(143,1)}
       115:{2,5,7}:{(86,1),(87,1),(106,1),(145,1),(148,1)}
       116:{1,6,7}:{(87,1),(148,1),(297,1)}
       117:{2,3,7}:{(88,1),(149,1),(150,1),(298,1)}
       118:{1,3,4,7}:{(88,1),(90,1),(95,1),(149,1),(151,1),(152,1),(265,1),(272,1),(298,1),(312,1)}
       119:{1,3,6}:{(88,1),(89,1),(91,1),(150,1),(153,1),(304,1)}
       120:{1,2,5}:{(89,1),(92,1),(153,1),(161,1),(215,1),(281,1)}
       121:{2,3,5,7}:{(90,1),(98,1),(151,1),(155,1),(156,1),(211,1),(264,1),(270,1),(298,1)}
       122:{2,3,4,6}:{(90,1),(91,1),(99,1),(152,1),(155,1),(156,1),(157,1),(167,1),(223,1),(230,1),(271,1),(299,1)}
       123:{2,3,5}:{(91,1),(92,1),(153,1),(157,1),(158,1)}
       124:{2,4,5}:{(92,1),(93,1),(101,1),(157,1),(158,1)}
       125:{1,3,4,5}:{(93,1),(94,1),(102,1),(158,1),(159,1),(220,1),(226,1),(229,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(151,1),(160,1),(161,1),(219,1),(227,1),(272,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(140,1),(153,1),(161,1),(162,1),(163,1),(205,1),(229,1),(263,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(141,1),(154,1),(162,1),(163,1),(169,1),(230,1),(234,1),(269,1),(303,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(155,1),(160,1),(165,1),(214,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(143,1),(157,1),(162,1),(166,1),(167,1),(216,1)}
       133:{3,6}:{(101,1),(144,1),(158,1)}
       134:{2,4,6}:{(102,1),(106,1),(145,1),(159,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(213,1),(217,1),(267,1),(272,1),(277,1),(298,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(148,1),(169,1),(281,1),(297,1)}
       139:{1,4,6,7}:{(107,1),(109,1),(127,1),(172,1),(173,1),(236,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(110,1),(128,1),(172,1),(173,1),(174,1)}
       141:{1,2,4,7}:{(108,1),(111,1),(129,1),(173,1),(174,1),(179,1),(238,1),(242,1),(285,1),(311,1),(314,1)}
       142:{2,5,7}:{(109,1),(113,1),(131,1),(172,1),(175,1)}
       143:{2,4,7}:{(110,1),(114,1),(132,1),(173,1),(177,1)}
       144:{3,7}:{(111,1),(133,1)}
       145:{2,4,7}:{(112,1),(115,1),(134,1),(178,1),(179,1),(242,1)}
       146:{1,3,5,6}:{(113,1),(175,1),(181,1),(241,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(137,1),(176,1),(181,1),(284,1)}
       148:{1,5,7}:{(115,1),(116,1),(138,1),(179,1)}
       149:{2,4,7}:{(117,1),(118,1),(182,1),(183,1),(314,1)}
       150:{2,3,6}:{(117,1),(119,1),(183,1),(184,1),(286,1),(310,1)}
       151:{1,3,5,7}:{(118,1),(121,1),(126,1),(182,1),(185,1),(186,1),(284,1)}
       152:{1,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(183,1),(185,1),(186,1),(187,1),(246,1),(248,1),(259,1),(286,1),(288,1),(308,1)}
       153:{1,3,5}:{(119,1),(120,1),(123,1),(184,1),(187,1)}
       154:{1,2,4,5}:{(120,1),(124,1),(129,1),(187,1),(188,1),(194,1),(197,1),(245,1),(250,1),(255,1),(258,1),(291,1),(292,1),(309,1)}
       155:{2,3,6}:{(121,1),(130,1),(185,1),(241,1),(283,1),(286,1)}
       156:{2,3,5}:{(122,1),(131,1),(186,1),(191,1),(202,1),(258,1)}
       157:{2,4}:{(123,1),(187,1),(192,1)}
       158:{3,5}:{(124,1),(133,1),(192,1)}
       159:{2,4,5}:{(125,1),(134,1),(193,1),(194,1),(250,1),(255,1),(258,1)}
       160:{1,4,6}:{(126,1),(130,1),(185,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(173,1),(187,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(174,1),(188,1),(199,1),(286,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(189,1),(195,1),(200,1),(243,1),(252,1),(285,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(177,1),(192,1),(202,1),(241,1),(246,1),(286,1)}
       168:{2,3,6}:{(133,1),(134,1),(178,1),(193,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(179,1),(194,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(181,1),(201,1),(204,1),(248,1),(295,1)}
       172:{1,5,7}:{(139,1),(142,1),(161,1),(205,1)}
       173:{1,4,7}:{(140,1),(143,1),(162,1)}
       174:{1,3,7}:{(141,1),(144,1),(163,1),(208,1),(298,1)}
       175:{2,5,6}:{(142,1),(146,1),(205,1),(210,1)}
       176:{2,4,5,7}:{(142,1),(143,1),(147,1),(166,1),(206,1),(210,1),(211,1),(264,1)}
       177:{3,4,7}:{(143,1),(144,1),(167,1),(211,1),(298,1)}
       178:{2,3,7}:{(144,1),(145,1),(168,1),(212,1)}
       179:{1,4,7}:{(145,1),(148,1),(169,1),(212,1)}
       180:{1,3,5,6,7}:{(146,1),(170,1),(209,1),(213,1),(267,1)}
       181:{1,4,6}:{(146,1),(147,1),(210,1),(297,1)}
       182:{2,5,7}:{(149,1),(151,1),(214,1),(215,1)}
       183:{2,4,6}:{(149,1),(150,1),(152,1),(214,1),(215,1),(216,1),(301,1),(313,1)}
       184:{2,3,5}:{(150,1),(153,1),(215,1),(216,1),(270,1)}
       185:{1,3,6}:{(151,1),(155,1),(160,1),(214,1),(297,1)}
       186:{1,3,5}:{(152,1),(156,1),(161,1),(215,1),(219,1),(270,1),(281,1)}
       187:{1,4}:{(153,1),(157,1),(216,1)}
       188:{1,3,5}:{(154,1),(158,1),(163,1),(220,1),(221,1),(270,1),(304,1)}
       189:{2,3,6,7}:{(155,1),(164,1),(217,1),(222,1),(267,1),(296,1),(298,1)}
       190:{2,3,5,6}:{(155,1),(156,1),(165,1),(218,1),(222,1),(223,1),(233,1),(280,1),(299,1)}
       191:{2,4,5}:{(156,1),(157,1),(219,1),(223,1),(224,1)}
       192:{3,4}:{(157,1),(158,1)}
       193:{2,3,5}:{(158,1),(159,1),(168,1),(225,1),(226,1)}
       194:{1,4,5}:{(159,1),(169,1),(226,1),(275,1),(281,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(217,1),(227,1),(272,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(207,1),(220,1),(229,1),(230,1),(263,1)}
       199:{2,3,6}:{(163,1),(208,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(210,1),(223,1),(228,1),(232,1),(233,1),(269,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(212,1),(226,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(213,1),(232,1),(272,1),(305,1)}
       205:{1,5,6}:{(172,1),(175,1),(236,1)}
       206:{1,4,5,7}:{(172,1),(173,1),(176,1),(197,1),(236,1),(237,1)}
       207:{1,3,4,7}:{(173,1),(174,1),(177,1),(198,1),(237,1),(238,1)}
       208:{2,3,7}:{(174,1),(199,1),(238,1),(239,1),(242,1),(314,1)}
       209:{2,5,6,7}:{(175,1),(180,1),(200,1),(235,1),(240,1)}
       210:{2,4,6}:{(175,1),(176,1),(181,1),(236,1),(241,1),(283,1)}
       211:{3,5,7}:{(176,1),(177,1),(202,1),(241,1)}
       212:{1,3,7}:{(178,1),(179,1),(203,1),(242,1)}
       213:{1,4,6,7}:{(180,1),(181,1),(204,1),(240,1),(306,1)}
       214:{2,6}:{(182,1),(185,1)}
       215:{2,5}:{(183,1),(186,1)}
       216:{2,4}:{(184,1),(187,1),(246,1)}
       217:{1,3,6,7}:{(185,1),(189,1),(195,1),(243,1),(247,1),(306,1)}
       218:{1,3,5,6}:{(185,1),(186,1),(190,1),(196,1),(244,1),(247,1),(248,1),(286,1),(295,1),(308,1)}
       219:{1,4,5}:{(186,1),(187,1),(191,1),(245,1),(248,1)}
       220:{1,3,4}:{(187,1),(188,1),(192,1),(246,1),(250,1)}
       221:{2,3,5}:{(188,1),(199,1),(250,1),(251,1),(255,1),(258,1),(293,1),(309,1),(310,1)}
       222:{2,3,5,7}:{(189,1),(190,1),(200,1),(247,1),(252,1),(261,1),(294,1),(307,1)}
       223:{2,4,6}:{(190,1),(191,1),(248,1),(252,1),(253,1)}
       224:{3,4,5}:{(191,1),(192,1),(202,1),(253,1)}
       225:{2,3,4}:{(192,1),(193,1),(250,1),(254,1),(310,1)}
       226:{1,3,5}:{(193,1),(194,1),(203,1),(254,1),(255,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(236,1),(248,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(238,1),(250,1),(258,1),(259,1),(283,1)}
       231:{1,3,6}:{(199,1),(239,1),(251,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(240,1),(252,1),(256,1),(261,1),(285,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(241,1),(253,1),(261,1),(286,1)}
       234:{2,6}:{(203,1),(242,1),(255,1)}
       235:{1,5,6,7}:{(205,1),(209,1),(227,1),(262,1)}
       236:{1,4,6}:{(205,1),(206,1),(210,1),(263,1)}
       237:{1,3,5,7}:{(206,1),(207,1),(211,1),(229,1),(263,1),(264,1)}
       238:{2,4,7}:{(207,1),(208,1),(230,1),(264,1),(265,1)}
       239:{1,3,7}:{(208,1),(231,1),(265,1),(266,1)}
       240:{2,4,6,7}:{(209,1),(210,1),(213,1),(232,1),(262,1),(267,1),(296,1)}
       241:{3,6}:{(210,1),(211,1)}
       242:{2,7}:{(212,1),(234,1)}
       243:{2,6,7}:{(214,1),(217,1),(268,1)}
       244:{2,5,6}:{(214,1),(215,1),(218,1),(268,1),(269,1),(313,1)}
       245:{2,4,5}:{(215,1),(216,1),(219,1),(269,1),(270,1)}
       246:{3,4}:{(216,1),(270,1)}
       247:{1,3,5,7}:{(217,1),(218,1),(222,1),(227,1),(268,1),(272,1),(298,1),(305,1),(312,1)}
       248:{1,4,6}:{(218,1),(219,1),(223,1),(269,1),(272,1)}
       249:{1,3,4,5}:{(219,1),(220,1),(224,1),(229,1),(270,1),(273,1),(274,1),(300,1)}
       250:{2,4}:{(220,1),(221,1),(275,1)}
       251:{1,3,5}:{(221,1),(231,1),(275,1),(276,1),(281,1),(304,1)}
       252:{2,4,7}:{(222,1),(223,1),(272,1),(277,1)}
       253:{3,4,6}:{(223,1),(224,1),(233,1),(277,1)}
       254:{1,3,4}:{(225,1),(226,1),(275,1),(278,1),(304,1)}
       255:{2,5}:{(226,1),(234,1),(278,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(262,1),(272,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(263,1),(273,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(265,1),(275,1),(281,1),(297,1)}
       260:{1,2,6}:{(231,1),(234,1),(266,1),(276,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(267,1),(277,1),(298,1)}
       262:{1,4,6,7}:{(235,1),(236,1),(240,1),(256,1),(282,1)}
       263:{1,3,6}:{(236,1),(237,1),(241,1),(283,1)}
       264:{2,5,7}:{(237,1),(238,1),(258,1),(283,1),(284,1)}
       265:{1,4,7}:{(238,1),(239,1),(259,1),(284,1)}
       266:{1,2,7}:{(239,1),(242,1),(260,1),(314,1)}
       267:{3,6,7}:{(240,1),(241,1),(261,1)}
       268:{2,5,7}:{(243,1),(244,1),(247,1),(285,1),(314,1)}
       269:{2,4,6}:{(244,1),(245,1),(248,1),(285,1),(286,1)}
       270:{3,5}:{(245,1),(246,1),(286,1)}
       271:{2,3,4}:{(246,1),(250,1),(287,1),(288,1),(293,1)}
       272:{1,4,7}:{(247,1),(248,1),(252,1),(285,1)}
       273:{1,3,4,6}:{(248,1),(249,1),(253,1),(257,1),(286,1),(289,1),(290,1),(308,1)}
       274:{2,4,5}:{(249,1),(250,1),(258,1),(287,1),(290,1),(291,1),(309,1)}
       275:{1,4}:{(250,1),(251,1)}
       276:{1,2,5}:{(251,1),(255,1),(260,1),(292,1),(309,1)}
       277:{3,4,7}:{(252,1),(253,1),(261,1)}
       278:{2,4}:{(254,1),(255,1),(293,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(282,1),(289,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(283,1),(290,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{1,3,6,7}:{(262,1),(263,1),(267,1),(279,1),(296,1)}
       283:{2,6}:{(263,1),(264,1),(297,1)}
       284:{1,5,7}:{(264,1),(265,1),(281,1),(297,1)}
       285:{2,4,7}:{(268,1),(269,1),(272,1),(298,1)}
       286:{3,6}:{(269,1),(270,1),(298,1)}
       287:{2,3,5}:{(270,1),(271,1),(274,1),(299,1),(300,1)}
       288:{1,3,4}:{(271,1),(275,1),(300,1),(301,1),(304,1)}
       289:{1,3,4,7}:{(272,1),(273,1),(277,1),(279,1),(298,1),(302,1),(312,1)}
       290:{2,4,6}:{(273,1),(274,1),(280,1),(299,1),(302,1),(303,1),(313,1)}
       291:{1,4,5}:{(274,1),(275,1),(281,1),(300,1),(303,1)}
       292:{1,2,4}:{(275,1),(276,1),(278,1),(301,1),(304,1)}
       293:{2,3}:{(278,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(296,1),(302,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(297,1),(303,1),(305,1)}
       296:{2,6,7}:{(282,1),(283,1),(294,1),(306,1)}
       297:{1,6}:{(283,1),(284,1)}
       298:{3,7}:{(285,1),(286,1)}
       299:{2,3,6}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{2,4}:{(288,1),(309,1),(310,1)}
       302:{2,4,7}:{(289,1),(290,1),(294,1),(307,1),(311,1),(314,1)}
       303:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(311,1)}
       304:{1,3}:{(292,1),(293,1),(310,1)}
       305:{1,5,7}:{(294,1),(295,1),(306,1),(311,1)}
       306:{1,6,7}:{(296,1),(297,1),(305,1)}
       307:{2,3,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(303,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(313,1)}
       310:{2,3}:{(301,1),(304,1)}
       311:{1,4,7}:{(302,1),(303,1),(305,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1382 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1383 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(24,1),(31,1),(32,1),(194,1),(204,1),(221,1),(325,1),(327,1),(417,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(273,1),(376,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(41,1),(242,1),(256,1),(360,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(417,1),(419,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(204,1),(222,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(61,1),(406,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(65,1),(294,1),(309,1),(325,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(38,1),(83,1),(103,1),(104,1),(151,1),(159,1),(277,1),(280,1),(376,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(46,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(38,1),(50,1),(160,1),(177,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(256,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(90,1),(373,1),(387,1),(388,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(31,1),(204,1),(331,1)}
        14:{1,2,4,5,7}:{(7,1),(25,1),(26,1),(61,1),(117,1),(126,1),(127,1),(196,1),(205,1),(310,1),(314,1),(406,1)}
        15:{1,3,4,5}:{(8,1),(23,1),(27,1),(419,1),(422,1)}
        16:{2,3,5}:{(8,1),(10,1),(27,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(71,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(60,1),(75,1),(123,1),(138,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(61,1),(207,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(309,1),(323,1),(326,1),(339,1),(340,1),(406,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(126,1),(417,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(376,1),(379,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(38,1),(40,1),(41,1),(50,1),(103,1),(151,1),(160,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(42,1),(256,1),(365,1)}
        26:{1,2,4,6,7}:{(14,1),(18,1),(42,1),(43,1),(90,1),(96,1),(156,1),(245,1),(349,1)}
        27:{2,4,5}:{(15,1),(16,1),(38,1),(45,1)}
        28:{1,3,4,5,7}:{(15,1),(17,1),(39,1),(46,1),(47,1),(56,1),(91,1),(113,1)}
        29:{1,3,5}:{(16,1),(19,1),(45,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(103,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(89,1),(165,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(90,1),(109,1),(174,1),(260,1),(272,1),(278,1),(288,1),(290,1),(364,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(371,1),(375,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(72,1),(114,1),(199,1),(228,1),(229,1),(331,1),(398,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(60,1),(61,1)}
        39:{1,3,4,7}:{(23,1),(25,1),(61,1),(406,1),(410,1)}
        40:{1,3,5,6}:{(24,1),(29,1),(60,1),(63,1),(64,1),(75,1),(123,1),(141,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(126,1),(196,1),(207,1)}
        42:{1,3,6,7}:{(25,1),(26,1),(31,1),(65,1),(396,1)}
        43:{1,2,5,6,7}:{(26,1),(32,1),(66,1),(126,1),(202,1),(298,1),(310,1),(416,1)}
        44:{2,3,4,5}:{(27,1),(59,1),(67,1),(134,1),(295,1),(422,1)}
        45:{1,4,5}:{(27,1),(29,1),(60,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(30,1),(61,1),(70,1),(71,1),(126,1)}
        47:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(77,1),(147,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(70,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(71,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(336,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(123,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(125,1),(146,1),(213,1),(230,1),(236,1),(238,1),(318,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(126,1),(216,1),(320,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(406,1),(419,1)}
        57:{2,4,5,6}:{(37,1),(38,1),(82,1),(83,1),(84,1),(103,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(39,1),(84,1),(85,1),(91,1),(152,1),(249,1),(262,1),(263,1),(352,1),(365,1)}
        59:{2,3,4,6}:{(38,1),(44,1),(82,1),(86,1),(87,1),(160,1),(243,1),(379,1)}
        60:{1,4,6}:{(38,1),(40,1),(45,1),(89,1)}
        61:{2,4,7}:{(38,1),(39,1),(41,1),(89,1)}
        62:{1,3,4,6,7}:{(39,1),(42,1),(47,1),(90,1),(91,1),(96,1),(174,1)}
        63:{1,2,5,6}:{(40,1),(48,1),(88,1),(93,1),(107,1),(151,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(89,1),(93,1),(94,1),(165,1),(167,1)}
        65:{2,3,6,7}:{(41,1),(42,1),(50,1),(90,1),(94,1),(245,1)}
        66:{1,3,5,6,7}:{(42,1),(43,1),(51,1),(91,1),(95,1),(96,1),(360,1),(371,1),(372,1)}
        67:{1,3,4,5}:{(44,1),(45,1),(86,1),(97,1),(100,1),(175,1),(342,1)}
        68:{2,3,4,5,7}:{(44,1),(46,1),(87,1),(98,1),(99,1),(113,1),(163,1),(178,1),(193,1),(346,1),(364,1),(378,1),(449,1),(450,1),(459,1),(504,1)}
        69:{1,2,4,5}:{(45,1),(48,1),(88,1),(97,1),(100,1),(105,1)}
        70:{1,4,5,7}:{(45,1),(46,1),(49,1),(89,1),(102,1),(167,1)}
        71:{2,4,6}:{(46,1),(47,1),(50,1),(102,1),(103,1)}
        72:{1,3,5,6}:{(47,1),(91,1),(103,1),(104,1),(186,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(100,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(102,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(103,1),(108,1),(109,1),(186,1),(285,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(165,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(272,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(167,1),(282,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(364,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(331,1)}
        83:{1,4,5,6}:{(57,1),(60,1),(114,1),(117,1),(141,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(61,1),(115,1),(117,1),(118,1),(126,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(67,1),(114,1),(120,1),(121,1),(123,1),(204,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(61,1),(115,1),(121,1),(207,1),(296,1),(410,1)}
        88:{1,2,4,6}:{(60,1),(63,1),(69,1),(120,1),(123,1),(124,1)}
        89:{1,4,7}:{(60,1),(61,1),(64,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(65,1),(71,1),(125,1),(126,1)}
        91:{1,3,5,7}:{(62,1),(72,1),(126,1),(127,1),(216,1)}
        92:{1,2,3,5,6}:{(63,1),(73,1),(123,1),(128,1),(129,1),(144,1),(195,1),(211,1),(231,1),(234,1),(316,1),(321,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(124,1),(130,1),(196,1)}
        94:{1,3,6,7}:{(64,1),(65,1),(75,1),(125,1),(130,1)}
        95:{2,3,5,6,7}:{(65,1),(66,1),(76,1),(126,1),(131,1),(132,1),(216,1),(298,1),(313,1),(320,1),(322,1),(396,1)}
        96:{1,4,6,7}:{(66,1),(77,1),(127,1),(132,1),(406,1)}
        97:{2,4,5}:{(67,1),(120,1),(134,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(135,1),(136,1),(139,1),(209,1),(223,1),(240,1),(318,1),(333,1),(389,1),(406,1),(410,1),(419,1),(422,1),(481,1),(489,1),(525,1)}
        99:{2,3,4,6}:{(68,1),(71,1),(136,1),(137,1),(147,1),(226,1),(237,1),(330,1),(393,1),(480,1),(524,1)}
       100:{1,3,5}:{(69,1),(123,1),(134,1),(138,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(74,1),(124,1),(135,1),(139,1),(140,1),(143,1),(214,1),(234,1),(318,1),(333,1),(525,1),(526,1),(530,1),(547,1)}
       102:{1,4,6}:{(70,1),(71,1),(75,1),(141,1)}
       103:{2,5,6}:{(71,1),(72,1),(126,1),(141,1)}
       104:{1,4,5,6}:{(72,1),(77,1),(127,1),(142,1),(336,1)}
       105:{1,2,4}:{(73,1),(138,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(139,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(141,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(213,1),(236,1),(322,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(320,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(318,1),(333,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(216,1),(410,1),(422,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(365,1)}
       116:{1,2,4,5,6}:{(83,1),(88,1),(151,1),(154,1),(155,1),(169,1),(184,1),(243,1),(269,1),(280,1),(283,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(89,1),(152,1),(156,1),(167,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(91,1),(157,1),(158,1),(253,1),(352,1)}
       120:{2,4,6}:{(86,1),(97,1),(151,1),(160,1),(161,1)}
       121:{1,3,4,7}:{(86,1),(87,1),(89,1),(152,1),(161,1),(165,1),(256,1),(343,1)}
       122:{2,3,4,6,7}:{(87,1),(90,1),(99,1),(153,1),(162,1),(163,1),(174,1),(247,1),(260,1),(272,1),(347,1),(364,1),(437,1),(438,1),(450,1),(496,1)}
       123:{1,3,6}:{(88,1),(100,1),(160,1),(165,1)}
       124:{1,2,4,7}:{(88,1),(89,1),(93,1),(161,1),(165,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(94,1),(102,1),(167,1)}
       126:{2,5,7}:{(90,1),(91,1),(103,1),(167,1)}
       127:{1,4,5,7}:{(91,1),(96,1),(104,1),(168,1),(371,1)}
       128:{1,2,4,6}:{(92,1),(105,1),(164,1),(169,1),(170,1),(243,1),(283,1)}
       129:{1,2,3,5,7}:{(92,1),(93,1),(165,1),(170,1),(171,1),(244,1),(264,1),(266,1),(270,1)}
       130:{1,2,6,7}:{(93,1),(94,1),(107,1),(245,1)}
       131:{1,3,5,6,7}:{(94,1),(95,1),(108,1),(167,1),(172,1),(173,1),(266,1),(268,1),(271,1)}
       132:{2,4,6,7}:{(95,1),(96,1),(109,1),(168,1),(173,1),(174,1),(364,1)}
       133:{1,2,4,5}:{(97,1),(159,1),(175,1),(273,1),(342,1),(355,1)}
       134:{2,3,5}:{(97,1),(100,1),(160,1),(175,1),(177,1)}
       135:{2,4,5,7}:{(97,1),(98,1),(161,1),(178,1),(179,1),(261,1),(364,1),(378,1),(507,1),(513,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(102,1),(179,1),(180,1),(183,1),(276,1),(283,1),(289,1),(376,1),(379,1),(431,1),(539,1)}
       137:{2,3,5,6}:{(99,1),(103,1),(163,1),(180,1),(181,1),(186,1),(285,1),(435,1),(498,1),(534,1)}
       138:{1,3,4}:{(100,1),(105,1),(177,1)}
       139:{1,3,5,7}:{(100,1),(101,1),(165,1),(178,1),(182,1),(183,1),(282,1),(540,1),(543,1)}
       140:{1,2,4,6}:{(101,1),(102,1),(107,1),(179,1),(183,1),(184,1),(283,1),(539,1),(551,1)}
       141:{1,5,6}:{(102,1),(103,1),(167,1)}
       142:{2,4,5,6}:{(103,1),(104,1),(109,1),(168,1),(185,1),(186,1),(285,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(182,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(183,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(285,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(186,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(266,1),(370,1),(506,1),(540,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(268,1),(369,1),(382,1)}
       151:{2,5,6}:{(114,1),(120,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(123,1),(195,1),(199,1),(200,1),(211,1),(316,1),(331,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(124,1),(196,1),(200,1),(201,1),(214,1),(296,1),(314,1),(318,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(126,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(127,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(133,1),(194,1),(204,1),(205,1),(292,1)}
       160:{2,3,6}:{(120,1),(123,1),(134,1),(204,1),(207,1)}
       161:{2,4,7}:{(120,1),(121,1),(196,1),(207,1)}
       162:{1,3,4,6,7}:{(121,1),(122,1),(125,1),(136,1),(197,1),(208,1),(209,1),(213,1),(299,1),(309,1),(318,1),(323,1),(390,1),(396,1),(406,1),(410,1),(472,1),(481,1),(519,1)}
       163:{2,3,5,7}:{(122,1),(126,1),(137,1),(209,1),(210,1),(216,1),(320,1),(394,1),(471,1),(518,1)}
       164:{1,3,4,6}:{(123,1),(128,1),(138,1),(206,1),(211,1),(212,1),(316,1)}
       165:{1,3,7}:{(123,1),(124,1),(207,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(130,1),(140,1),(208,1),(213,1),(214,1),(318,1),(519,1),(520,1),(526,1)}
       167:{1,5,7}:{(125,1),(126,1),(141,1)}
       168:{2,4,5,7}:{(126,1),(127,1),(132,1),(142,1),(215,1),(216,1),(320,1)}
       169:{1,2,4,5}:{(128,1),(211,1),(234,1),(295,1),(333,1)}
       170:{1,2,4,7}:{(128,1),(129,1),(212,1),(296,1),(318,1)}
       171:{1,2,3,6,7}:{(129,1),(130,1),(144,1),(213,1),(218,1),(297,1),(316,1),(548,1)}
       172:{1,2,5,6,7}:{(130,1),(131,1),(145,1),(214,1),(219,1),(298,1),(320,1),(400,1)}
       173:{1,4,6,7}:{(131,1),(132,1),(146,1),(215,1),(318,1)}
       174:{3,4,6,7}:{(132,1),(147,1),(216,1),(396,1),(410,1)}
       175:{1,3,5}:{(133,1),(134,1),(204,1),(222,1)}
       176:{1,2,4,5,7}:{(133,1),(135,1),(205,1),(223,1),(224,1),(240,1),(310,1),(324,1),(341,1),(389,1),(401,1),(406,1),(417,1),(419,1),(483,1),(491,1)}
       177:{2,3,4}:{(134,1),(138,1),(222,1)}
       178:{2,3,5,7}:{(134,1),(135,1),(139,1),(207,1),(223,1),(225,1),(226,1),(329,1),(527,1),(532,1)}
       179:{2,4,6}:{(135,1),(136,1),(226,1),(227,1)}
       180:{1,3,5,6}:{(136,1),(137,1),(141,1),(209,1),(227,1),(228,1),(331,1),(336,1),(466,1),(545,1)}
       181:{2,4,5,6}:{(137,1),(210,1),(228,1),(229,1),(330,1)}
       182:{1,3,4,7}:{(138,1),(139,1),(143,1),(225,1),(230,1),(318,1),(550,1)}
       183:{1,3,6}:{(139,1),(140,1),(226,1)}
       184:{1,2,5,6}:{(140,1),(141,1),(214,1),(227,1),(231,1),(234,1),(545,1)}
       185:{1,4,5,6}:{(141,1),(142,1),(146,1),(215,1),(233,1)}
       186:{3,5,6}:{(142,1),(147,1),(216,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(230,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(231,1),(234,1),(235,1),(236,1),(335,1),(337,1),(488,1),(531,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(233,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(318,1),(414,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(320,1),(414,1),(425,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(160,1),(241,1),(243,1),(244,1),(258,1),(362,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(161,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(163,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(283,1),(379,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(165,1),(244,1),(249,1),(250,1),(365,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(269,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(167,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(168,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,3,6}:{(159,1),(160,1),(175,1),(256,1)}
       205:{1,2,4,7}:{(159,1),(161,1),(242,1),(256,1),(343,1)}
       206:{2,3,4,6}:{(160,1),(164,1),(177,1),(243,1),(255,1),(258,1),(259,1),(362,1)}
       207:{2,3,7}:{(160,1),(161,1),(165,1),(256,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(179,1),(245,1),(260,1),(261,1),(364,1),(499,1),(507,1)}
       209:{1,3,5,7}:{(162,1),(163,1),(167,1),(180,1),(261,1),(262,1),(365,1),(371,1),(432,1),(535,1)}
       210:{2,4,5,7}:{(163,1),(181,1),(247,1),(262,1),(263,1),(364,1)}
       211:{1,3,5}:{(164,1),(169,1),(258,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(170,1),(259,1),(264,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(183,1),(260,1),(266,1),(540,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(184,1),(261,1),(266,1),(535,1)}
       215:{1,4,5,7}:{(167,1),(168,1),(173,1),(185,1),(268,1)}
       216:{3,5,7}:{(168,1),(174,1),(186,1)}
       217:{1,2,4,5,7}:{(169,1),(170,1),(264,1),(269,1),(270,1),(346,1),(368,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(187,1),(265,1),(269,1),(270,1),(347,1),(538,1),(551,1)}
       219:{1,2,4,6,7}:{(172,1),(173,1),(189,1),(267,1),(271,1),(272,1),(349,1),(439,1),(499,1)}
       220:{1,3,4,6,7}:{(173,1),(174,1),(190,1),(268,1),(271,1),(272,1),(369,1)}
       221:{1,2,3,5}:{(175,1),(254,1),(273,1),(355,1)}
       222:{1,3,4}:{(175,1),(177,1),(273,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(256,1),(275,1),(276,1),(375,1),(508,1),(515,1)}
       224:{1,2,4,6}:{(176,1),(179,1),(276,1),(277,1),(289,1),(376,1),(387,1),(431,1),(441,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(182,1),(275,1),(278,1),(364,1),(544,1)}
       226:{2,3,6}:{(178,1),(179,1),(183,1),(276,1)}
       227:{2,5,6}:{(179,1),(180,1),(261,1)}
       228:{1,4,5,6}:{(180,1),(181,1),(262,1),(280,1),(283,1),(376,1)}
       229:{3,4,5,6}:{(181,1),(186,1),(263,1),(379,1),(498,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(187,1),(278,1),(282,1),(283,1)}
       231:{1,3,5,6}:{(183,1),(184,1),(266,1),(279,1),(282,1),(283,1)}
       232:{1,2,4,5,6}:{(184,1),(185,1),(189,1),(267,1),(280,1),(283,1),(284,1),(285,1),(286,1),(381,1),(383,1),(461,1),(512,1)}
       233:{1,3,5,6}:{(185,1),(186,1),(190,1),(268,1),(285,1)}
       234:{1,2,5}:{(187,1),(282,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(283,1),(286,1),(287,1),(383,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(285,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(540,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(371,1),(452,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(204,1),(292,1),(293,1),(307,1),(404,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(205,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(207,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(209,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(210,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(211,1),(295,1),(333,1),(422,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(318,1),(410,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(316,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(214,1),(298,1),(303,1),(321,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(215,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(216,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(221,1),(305,1),(306,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(222,1),(292,1),(305,1),(307,1),(308,1),(404,1)}
       256:{1,3,7}:{(204,1),(205,1),(207,1)}
       257:{1,2,4,6,7}:{(205,1),(208,1),(224,1),(294,1),(309,1),(310,1),(323,1),(390,1),(406,1),(416,1),(483,1)}
       258:{2,3,5}:{(206,1),(211,1),(295,1),(307,1)}
       259:{2,3,4,7}:{(206,1),(207,1),(212,1),(296,1),(308,1),(311,1)}
       260:{2,3,6,7}:{(207,1),(208,1),(213,1),(226,1),(309,1),(313,1),(396,1),(527,1)}
       261:{2,5,7}:{(208,1),(209,1),(227,1)}
       262:{1,4,5,7}:{(209,1),(210,1),(228,1),(299,1),(314,1),(318,1),(406,1)}
       263:{3,4,5,7}:{(210,1),(216,1),(229,1),(300,1),(410,1),(471,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(217,1),(311,1),(316,1)}
       265:{1,3,4,6,7}:{(212,1),(213,1),(218,1),(230,1),(312,1),(316,1),(317,1),(318,1),(413,1),(519,1),(523,1),(546,1)}
       266:{1,3,5,7}:{(213,1),(214,1),(231,1),(313,1),(318,1)}
       267:{1,2,4,5,7}:{(214,1),(215,1),(219,1),(232,1),(314,1),(318,1),(319,1),(320,1),(412,1),(414,1),(482,1),(526,1)}
       268:{1,3,5,7}:{(215,1),(216,1),(220,1),(233,1),(320,1)}
       269:{1,2,4,6}:{(217,1),(316,1),(321,1),(393,1),(413,1)}
       270:{1,2,5,7}:{(218,1),(234,1),(317,1),(321,1),(394,1)}
       271:{1,3,6,7}:{(219,1),(236,1),(319,1),(322,1),(396,1)}
       272:{2,4,6,7}:{(220,1),(237,1),(320,1),(322,1),(323,1),(414,1)}
       273:{1,2,4}:{(221,1),(222,1)}
       274:{1,2,3,5,7}:{(221,1),(223,1),(306,1),(324,1),(325,1),(341,1),(401,1),(417,1),(430,1),(493,1)}
       275:{1,3,4,7}:{(222,1),(223,1),(225,1),(324,1),(326,1),(406,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(226,1)}
       277:{1,2,5,6}:{(224,1),(227,1),(310,1),(327,1),(336,1),(417,1),(466,1)}
       278:{2,3,4,6}:{(225,1),(226,1),(230,1),(326,1),(329,1),(330,1)}
       279:{2,3,5,6}:{(226,1),(227,1),(231,1),(313,1),(327,1),(329,1),(330,1),(331,1)}
       280:{2,4,5,6}:{(227,1),(228,1),(314,1),(330,1),(331,1)}
       281:{1,3,4,5,6}:{(228,1),(229,1),(233,1),(315,1),(331,1),(332,1),(334,1),(420,1),(424,1),(517,1)}
       282:{1,3,5}:{(230,1),(234,1),(329,1),(333,1)}
       283:{1,4,6}:{(231,1),(318,1),(330,1),(333,1)}
       284:{1,3,5,6}:{(232,1),(236,1),(319,1),(331,1),(334,1),(335,1),(337,1),(531,1)}
       285:{2,5,6}:{(233,1),(237,1),(320,1),(336,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(333,1),(337,1),(425,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(531,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(336,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(414,1),(527,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(256,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(258,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(362,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(261,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(262,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(263,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(264,1),(346,1),(351,1),(352,1),(368,1),(449,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(266,1),(348,1),(352,1),(353,1),(367,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(268,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(273,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(256,1),(356,1)}
       307:{1,3,5}:{(255,1),(258,1),(342,1),(355,1)}
       308:{1,3,4,7}:{(255,1),(256,1),(259,1),(343,1),(356,1),(358,1)}
       309:{1,3,6,7}:{(256,1),(257,1),(260,1),(276,1),(360,1),(508,1)}
       310:{1,2,5,7}:{(257,1),(261,1),(277,1),(360,1),(371,1),(432,1)}
       311:{2,3,5,7}:{(258,1),(259,1),(264,1),(346,1),(358,1),(362,1)}
       312:{2,3,4,6,7}:{(259,1),(260,1),(265,1),(278,1),(347,1),(359,1),(362,1),(363,1),(364,1),(437,1),(448,1),(496,1),(502,1),(536,1)}
       313:{2,3,5,7}:{(260,1),(261,1),(266,1),(279,1),(360,1),(364,1),(365,1)}
       314:{2,4,5,7}:{(261,1),(262,1),(280,1),(349,1),(364,1),(365,1)}
       315:{1,3,4,5,7}:{(262,1),(263,1),(268,1),(281,1),(350,1),(365,1),(366,1),(369,1),(446,1),(451,1),(495,1)}
       316:{1,3,6}:{(264,1),(269,1),(362,1)}
       317:{1,3,5,7}:{(265,1),(270,1),(282,1),(363,1),(367,1),(368,1),(535,1)}
       318:{1,4,7}:{(266,1),(283,1),(364,1)}
       319:{1,3,5,7}:{(267,1),(271,1),(284,1),(365,1),(369,1),(370,1),(540,1)}
       320:{2,5,7}:{(268,1),(272,1),(285,1),(371,1)}
       321:{1,2,5,6}:{(269,1),(270,1),(367,1),(435,1),(551,1)}
       322:{2,3,6,7}:{(271,1),(272,1),(288,1),(370,1),(372,1),(499,1)}
       323:{1,4,6,7}:{(272,1),(289,1),(371,1),(372,1),(452,1)}
       324:{1,2,4,7}:{(273,1),(274,1),(275,1),(373,1),(516,1)}
       325:{1,2,3,6}:{(274,1),(276,1),(373,1),(387,1),(441,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(373,1),(375,1),(376,1)}
       327:{1,3,5,6}:{(276,1),(277,1),(279,1),(360,1),(375,1),(376,1)}
       328:{1,2,4,5,6}:{(277,1),(280,1),(361,1),(376,1),(377,1),(381,1),(454,1),(457,1),(461,1),(463,1),(494,1),(500,1),(534,1)}
       329:{2,3,5}:{(278,1),(282,1),(375,1),(378,1)}
       330:{2,4,6}:{(279,1),(283,1),(364,1),(376,1),(378,1),(379,1)}
       331:{3,5,6}:{(280,1),(365,1),(379,1)}
       332:{2,4,5,6}:{(281,1),(285,1),(366,1),(380,1),(381,1),(383,1),(457,1),(461,1),(534,1)}
       333:{1,4,5}:{(282,1),(283,1),(378,1)}
       334:{1,3,4,6}:{(283,1),(284,1),(369,1),(379,1),(382,1),(383,1)}
       335:{2,3,5,6}:{(284,1),(285,1),(288,1),(370,1),(383,1),(384,1),(385,1),(461,1),(514,1)}
       336:{1,5,6}:{(285,1),(289,1),(371,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(383,1),(385,1),(386,1),(514,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(452,1),(508,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(307,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(404,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(310,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(311,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(313,1),(391,1),(394,1),(395,1),(396,1),(408,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(314,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(315,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(316,1),(393,1),(398,1),(413,1),(480,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(318,1),(395,1),(399,1),(413,1)}
       354:{2,5,6,7}:{(304,1),(320,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(307,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(308,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(309,1),(325,1),(402,1),(403,1),(416,1),(469,1),(521,1)}
       358:{1,3,5,7}:{(307,1),(308,1),(311,1),(389,1),(401,1),(404,1)}
       359:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(326,1),(390,1),(402,1),(404,1),(405,1),(406,1),(475,1),(476,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(313,1),(327,1),(406,1)}
       361:{1,2,4,5,7}:{(310,1),(314,1),(328,1),(392,1),(406,1),(407,1),(412,1),(467,1),(478,1),(482,1),(483,1),(518,1)}
       362:{2,3,6}:{(311,1),(316,1),(393,1),(404,1)}
       363:{2,3,5,7}:{(312,1),(317,1),(329,1),(394,1),(405,1),(408,1),(409,1),(471,1),(518,1)}
       364:{2,4,7}:{(313,1),(318,1),(330,1),(406,1),(410,1)}
       365:{3,5,7}:{(314,1),(331,1),(396,1),(410,1)}
       366:{2,4,5,7}:{(315,1),(320,1),(332,1),(397,1),(411,1),(412,1),(414,1),(478,1),(482,1),(518,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(321,1),(408,1),(413,1),(545,1),(546,1)}
       368:{1,4,5,7}:{(317,1),(318,1),(333,1),(409,1),(413,1)}
       369:{1,3,4,7}:{(318,1),(319,1),(334,1),(410,1),(414,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(322,1),(335,1),(414,1),(415,1),(482,1),(527,1)}
       371:{1,5,7}:{(320,1),(323,1),(336,1)}
       372:{1,3,6,7}:{(322,1),(323,1),(339,1),(415,1),(416,1)}
       373:{1,2,4,6}:{(324,1),(325,1),(326,1),(417,1)}
       374:{1,2,3,5,6}:{(325,1),(327,1),(403,1),(417,1),(418,1),(421,1),(427,1),(473,1),(484,1),(492,1),(493,1),(521,1)}
       375:{1,3,5}:{(326,1),(329,1),(417,1),(419,1)}
       376:{1,4,6}:{(327,1),(330,1),(406,1),(419,1)}
       377:{1,3,5,6}:{(328,1),(331,1),(407,1),(420,1),(421,1),(484,1),(492,1),(521,1)}
       378:{2,4,5}:{(329,1),(330,1),(333,1),(419,1),(422,1)}
       379:{3,4,6}:{(330,1),(331,1),(410,1),(422,1)}
       380:{2,3,5,6}:{(331,1),(332,1),(411,1),(423,1),(424,1)}
       381:{1,4,5,6}:{(332,1),(336,1),(412,1),(424,1),(426,1),(487,1),(545,1)}
       382:{1,3,4,5}:{(333,1),(334,1),(337,1),(422,1),(425,1)}
       383:{2,4,6}:{(334,1),(335,1),(414,1),(425,1),(426,1)}
       384:{1,3,5,6}:{(335,1),(336,1),(339,1),(415,1),(426,1),(427,1),(428,1),(492,1)}
       385:{2,3,5}:{(337,1),(338,1),(425,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(426,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(358,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(360,1),(432,1),(433,1),(434,1),(444,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(361,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(362,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(364,1),(433,1),(436,1),(437,1),(448,1)}
       396:{3,6,7}:{(349,1),(365,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(366,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(371,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(358,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(373,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(360,1),(374,1),(442,1),(443,1),(447,1),(453,1),(501,1),(508,1)}
       404:{1,3,6}:{(358,1),(362,1),(431,1),(441,1)}
       405:{1,3,5,7}:{(359,1),(363,1),(375,1),(432,1),(442,1),(444,1),(445,1)}
       406:{1,4,7}:{(360,1),(364,1),(376,1)}
       407:{1,3,5,7}:{(361,1),(365,1),(377,1),(434,1),(446,1),(447,1),(508,1)}
       408:{2,3,5,6}:{(362,1),(363,1),(367,1),(435,1),(444,1),(448,1),(498,1),(534,1),(536,1)}
       409:{2,4,5,7}:{(363,1),(364,1),(368,1),(378,1),(445,1),(448,1),(449,1)}
       410:{3,4,7}:{(364,1),(365,1),(379,1)}
       411:{2,3,5,7}:{(365,1),(366,1),(380,1),(438,1),(450,1),(451,1)}
       412:{1,4,5,7}:{(366,1),(371,1),(381,1),(439,1),(451,1),(452,1),(505,1),(535,1)}
       413:{1,4,6}:{(367,1),(368,1),(448,1)}
       414:{2,4,7}:{(369,1),(370,1),(383,1),(452,1)}
       415:{1,3,5,7}:{(370,1),(371,1),(372,1),(384,1),(452,1),(453,1),(508,1)}
       416:{1,2,6,7}:{(372,1),(387,1),(453,1),(499,1)}
       417:{1,2,5}:{(373,1),(375,1)}
       418:{1,2,4,6}:{(374,1),(376,1),(443,1),(454,1),(455,1),(457,1),(516,1)}
       419:{1,4,5}:{(375,1),(376,1),(378,1)}
       420:{1,3,4,6}:{(376,1),(377,1),(379,1),(446,1),(456,1),(457,1)}
       421:{2,3,5,6}:{(377,1),(447,1),(457,1),(458,1),(461,1),(509,1),(514,1),(534,1),(536,1)}
       422:{3,4,5}:{(378,1),(379,1)}
       423:{2,3,4,6}:{(379,1),(380,1),(383,1),(450,1),(457,1),(459,1),(460,1),(514,1)}
       424:{1,3,5,6}:{(380,1),(381,1),(451,1),(460,1),(461,1)}
       425:{2,4,5}:{(382,1),(383,1),(385,1),(462,1)}
       426:{1,4,6}:{(383,1),(384,1),(452,1),(462,1)}
       427:{1,2,5,6}:{(384,1),(387,1),(453,1),(461,1),(463,1),(464,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(508,1)}
       431:{1,4,6}:{(389,1),(393,1),(404,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(406,1),(467,1),(476,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(407,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(410,1),(471,1),(480,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(411,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(412,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(413,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(404,1)}
       442:{1,2,5,7}:{(402,1),(405,1),(417,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(406,1),(418,1),(475,1),(478,1)}
       444:{1,3,5,6}:{(404,1),(405,1),(408,1),(466,1),(473,1),(476,1),(521,1)}
       445:{1,4,5,7}:{(405,1),(406,1),(409,1),(419,1),(476,1)}
       446:{1,3,4,7}:{(406,1),(407,1),(410,1),(420,1),(478,1)}
       447:{2,3,5,7}:{(407,1),(421,1),(469,1),(478,1),(479,1),(482,1),(518,1),(527,1)}
       448:{2,4,6}:{(408,1),(409,1),(413,1),(476,1),(480,1)}
       449:{3,4,5,7}:{(409,1),(410,1),(422,1),(471,1),(480,1)}
       450:{2,3,4,7}:{(410,1),(411,1),(414,1),(423,1),(478,1),(481,1),(527,1)}
       451:{1,3,5,7}:{(411,1),(412,1),(424,1),(472,1),(481,1),(482,1)}
       452:{1,4,7}:{(414,1),(415,1),(426,1)}
       453:{1,2,5,7}:{(415,1),(416,1),(427,1),(482,1),(483,1)}
       454:{1,2,4,5}:{(417,1),(418,1),(419,1),(484,1),(486,1)}
       455:{1,3,4,6}:{(418,1),(475,1),(484,1),(485,1),(492,1),(521,1),(533,1)}
       456:{1,3,4,5}:{(419,1),(420,1),(422,1),(484,1),(486,1)}
       457:{2,4,6}:{(420,1),(421,1),(478,1),(486,1),(487,1)}
       458:{1,3,5,6}:{(421,1),(479,1),(487,1),(488,1),(528,1),(531,1),(545,1),(546,1)}
       459:{2,3,4,5}:{(422,1),(423,1),(425,1),(486,1),(489,1),(532,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(481,1),(487,1),(489,1),(490,1),(492,1),(531,1)}
       461:{2,5,6}:{(424,1),(482,1),(490,1)}
       462:{1,4,5}:{(425,1),(426,1),(428,1)}
       463:{1,2,4,6}:{(426,1),(427,1),(483,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(495,1),(496,1),(503,1)}
       469:{2,3,6,7}:{(434,1),(447,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(448,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(451,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(444,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(445,1),(454,1),(500,1),(501,1),(504,1)}
       475:{1,3,4,7}:{(443,1),(455,1),(501,1),(502,1),(508,1)}
       476:{1,4,6}:{(444,1),(445,1),(448,1)}
       477:{1,3,4,5,7}:{(445,1),(446,1),(449,1),(456,1),(495,1),(501,1),(503,1),(504,1)}
       478:{2,4,7}:{(446,1),(447,1),(457,1),(505,1)}
       479:{1,3,5,7}:{(447,1),(458,1),(497,1),(505,1),(506,1),(535,1),(540,1)}
       480:{3,4,6}:{(448,1),(449,1),(498,1)}
       481:{1,3,4,7}:{(450,1),(451,1),(452,1),(460,1),(505,1),(507,1),(508,1),(540,1)}
       482:{2,5,7}:{(451,1),(461,1),(499,1),(507,1)}
       483:{1,2,4,7}:{(452,1),(453,1),(463,1),(507,1),(508,1)}
       484:{1,3,5}:{(454,1),(455,1),(509,1)}
       485:{2,3,4,6}:{(455,1),(457,1),(502,1),(509,1),(510,1),(514,1),(536,1),(544,1)}
       486:{2,4,5}:{(456,1),(457,1),(509,1),(511,1)}
       487:{1,4,6}:{(457,1),(458,1),(505,1),(511,1)}
       488:{1,2,5,6}:{(458,1),(461,1),(506,1),(512,1),(541,1),(551,1)}
       489:{1,3,4,5}:{(459,1),(460,1),(462,1),(511,1),(513,1),(515,1),(543,1)}
       490:{2,4,6}:{(460,1),(461,1),(507,1),(513,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(513,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(508,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(476,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(478,1),(518,1),(519,1),(524,1)}
       497:{1,3,6,7}:{(469,1),(479,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(480,1)}
       499:{2,6,7}:{(472,1),(482,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(476,1),(521,1),(524,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(484,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(478,1),(485,1),(522,1),(523,1),(527,1)}
       503:{1,3,4,6}:{(476,1),(477,1),(480,1),(517,1),(521,1),(524,1)}
       504:{2,4,5,7}:{(477,1),(478,1),(486,1),(518,1),(522,1),(524,1),(525,1)}
       505:{1,4,7}:{(478,1),(479,1),(487,1)}
       506:{1,2,5,7}:{(479,1),(482,1),(488,1),(520,1),(526,1)}
       507:{2,4,7}:{(481,1),(482,1),(490,1),(527,1)}
       508:{1,3,7}:{(483,1),(492,1),(527,1)}
       509:{2,3,5}:{(484,1),(485,1),(486,1),(528,1)}
       510:{1,3,4,6}:{(485,1),(487,1),(523,1),(528,1),(529,1),(531,1),(546,1),(550,1)}
       511:{1,4,5}:{(486,1),(487,1),(528,1)}
       512:{1,2,4,6}:{(487,1),(488,1),(490,1),(526,1),(530,1),(531,1)}
       513:{2,4,5}:{(489,1),(490,1),(532,1)}
       514:{2,3,6}:{(490,1),(492,1),(527,1),(531,1),(532,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(503,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(505,1),(535,1),(539,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(506,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(504,1),(509,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(505,1),(510,1),(537,1),(538,1),(540,1)}
       524:{2,4,6}:{(503,1),(504,1),(534,1),(536,1),(539,1)}
       525:{1,4,5,7}:{(504,1),(505,1),(511,1),(535,1),(537,1),(539,1)}
       526:{1,2,4,7}:{(505,1),(506,1),(507,1),(512,1),(540,1)}
       527:{2,3,7}:{(507,1),(508,1),(514,1),(540,1)}
       528:{1,3,5}:{(509,1),(510,1),(511,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(538,1),(541,1),(542,1),(551,1),(552,1)}
       530:{1,2,4,5}:{(511,1),(512,1),(513,1),(541,1),(543,1),(552,1)}
       531:{1,3,6}:{(512,1),(514,1),(540,1),(543,1)}
       532:{2,3,5}:{(513,1),(514,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(524,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(524,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(525,1),(528,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(529,1),(547,1),(548,1)}
       539:{1,4,6}:{(524,1),(525,1),(545,1),(546,1)}
       540:{1,3,7}:{(526,1),(527,1),(531,1)}
       541:{1,2,5}:{(528,1),(529,1)}
       542:{1,2,3,6}:{(529,1),(531,1),(548,1),(549,1)}
       543:{1,3,5}:{(530,1),(531,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(539,1)}
       546:{1,3,6}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(541,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1384 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1385 :   0:{1,2,3,6,7}:{(1,1),(2,1),(36,1),(76,1),(84,1),(144,1),(209,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(21,1),(60,1),(99,1),(109,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(105,1),(246,1),(314,1),(322,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(55,1),(62,1),(99,1),(237,1),(240,1),(307,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(36,1),(40,1),(79,1),(133,1),(209,1),(213,1),(282,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(11,1),(132,1),(221,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(36,1),(38,1),(78,1),(144,1),(212,1),(221,1),(284,1),(293,1),(296,1)}
         7:{1,2,4,7}:{(2,1),(13,1),(14,1),(138,1),(282,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(86,1),(132,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(55,1),(93,1),(99,1),(191,1),(194,1),(265,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1),(169,1),(251,1)}
        11:{1,2,5,6}:{(5,1),(18,1),(21,1),(101,1),(109,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(51,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1),(107,1),(250,1),(329,1)}
        14:{1,3,4,7}:{(7,1),(22,1),(24,1),(25,1),(322,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(55,1),(63,1),(101,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(307,1),(310,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(124,1),(132,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(15,1),(29,1),(32,1),(36,1),(79,1),(135,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(282,1),(287,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(132,1),(140,1),(205,1),(208,1),(226,1),(270,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(36,1),(73,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1)}
        23:{1,2,4,5}:{(13,1),(38,1),(81,1),(221,1),(287,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(293,1),(297,1)}
        25:{2,3,4,7}:{(14,1),(37,1),(39,1),(40,1),(138,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(41,1),(76,1),(86,1),(132,1),(270,1),(272,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(86,1),(336,1),(339,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(55,1),(94,1),(101,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(265,1),(268,1)}
        31:{1,3,5,6,7}:{(18,1),(20,1),(26,1),(45,1),(48,1),(53,1),(98,1),(106,1),(169,1),(246,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(22,1),(28,1),(47,1),(50,1),(51,1),(57,1),(98,1),(104,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(48,1),(52,1),(53,1),(99,1),(242,1),(262,1),(304,1),(311,1)}
        35:{1,2,4,5,6}:{(21,1),(23,1),(49,1),(52,1),(54,1),(101,1),(107,1),(172,1),(173,1),(192,1),(238,1),(248,1),(250,1),(256,1)}
        36:{1,3,6}:{(21,1),(22,1),(55,1)}
        37:{2,3,5,7}:{(22,1),(25,1),(51,1),(55,1),(56,1),(58,1)}
        38:{1,3,5}:{(23,1),(24,1),(58,1)}
        39:{2,3,4,6}:{(24,1),(25,1),(55,1),(58,1),(59,1),(107,1),(257,1),(261,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(177,1),(253,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(48,1),(61,1),(62,1),(307,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(61,1),(63,1),(101,1)}
        43:{3,4,6}:{(27,1),(28,1),(63,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(111,1),(117,1),(165,1),(176,1),(307,1),(310,1),(361,1),(368,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(66,1),(76,1),(124,1),(132,1),(226,1),(228,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(124,1),(300,1),(303,1)}
        48:{1,4,6,7}:{(31,1),(32,1),(41,1),(66,1),(70,1),(282,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(67,1),(70,1),(72,1),(135,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(36,1),(43,1),(68,1),(72,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(73,1),(74,1),(81,1),(132,1),(138,1)}
        52:{1,2,4,5,7}:{(34,1),(35,1),(70,1),(75,1),(132,1),(138,1),(207,1),(208,1),(227,1),(271,1),(280,1),(282,1),(288,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(75,1),(76,1),(298,1),(334,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(38,1),(75,1),(77,1),(78,1),(230,1),(274,1),(293,1)}
        55:{2,3,6}:{(36,1),(37,1),(73,1),(79,1)}
        56:{1,3,5,7}:{(37,1),(40,1),(74,1),(79,1),(80,1),(82,1)}
        57:{1,3,4,5}:{(38,1),(77,1),(81,1),(287,1),(303,1),(339,1)}
        58:{2,3,5}:{(38,1),(39,1),(81,1),(82,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(82,1),(83,1),(142,1),(219,1),(224,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(86,1),(132,1)}
        62:{3,4,6,7}:{(41,1),(43,1),(86,1),(334,1),(336,1)}
        63:{3,5,6}:{(42,1),(43,1),(86,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(89,1),(90,1),(202,1),(275,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(146,1),(152,1),(214,1),(282,1),(287,1),(300,1),(303,1),(382,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(48,1),(92,1),(93,1),(265,1)}
        67:{2,4,5,6}:{(46,1),(49,1),(92,1),(94,1),(101,1)}
        68:{3,4,6}:{(46,1),(47,1),(94,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(111,1),(122,1),(160,1),(176,1),(265,1),(268,1),(332,1),(368,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(98,1),(169,1)}
        71:{1,3,4,6,7}:{(48,1),(50,1),(53,1),(62,1),(93,1),(98,1),(99,1),(104,1)}
        72:{1,3,5,6}:{(49,1),(50,1),(63,1),(94,1),(98,1),(101,1)}
        73:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(56,1),(102,1),(112,1),(169,1),(177,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(104,1),(105,1),(264,1),(306,1),(322,1)}
        76:{2,3,6,7}:{(53,1),(55,1),(99,1),(105,1),(106,1),(311,1)}
        77:{1,3,4,6}:{(54,1),(57,1),(104,1),(107,1),(250,1),(267,1),(309,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(101,1),(105,1),(107,1),(108,1),(248,1),(257,1)}
        79:{1,3,6}:{(55,1),(56,1),(102,1),(109,1)}
        80:{1,2,5,7}:{(56,1),(60,1),(109,1),(113,1)}
        81:{2,4,5}:{(57,1),(58,1),(107,1),(112,1)}
        82:{1,3,5}:{(58,1),(59,1),(112,1),(113,1)}
        83:{1,2,4,6}:{(59,1),(60,1),(109,1),(113,1),(114,1),(186,1)}
        84:{1,2,3,7}:{(60,1),(114,1),(253,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,5,7}:{(61,1),(62,1),(63,1)}
        87:{2,3,4,6,7}:{(62,1),(64,1),(99,1),(117,1),(118,1),(176,1),(187,1),(237,1),(241,1),(307,1),(359,1),(364,1)}
        88:{3,4,5,6}:{(63,1),(116,1),(119,1),(309,1),(386,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(101,1),(117,1),(119,1),(120,1),(386,1),(388,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(120,1),(121,1),(174,1),(250,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(184,1),(190,1),(252,1),(265,1),(268,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(132,1)}
        93:{3,4,6,7}:{(66,1),(68,1),(124,1),(298,1),(300,1)}
        94:{3,5,6}:{(67,1),(68,1),(124,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(127,1),(128,1),(156,1),(231,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(146,1),(198,1),(214,1),(282,1),(287,1),(336,1),(339,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,5,7}:{(70,1),(71,1),(72,1),(86,1),(124,1),(132,1)}
        99:{2,4,6,7}:{(71,1),(73,1),(76,1),(132,1),(133,1),(138,1)}
       100:{1,3,4,5,6}:{(72,1),(77,1),(88,1),(126,1),(131,1),(134,1),(154,1),(200,1),(210,1),(230,1),(274,1),(286,1),(381,1)}
       101:{2,5,6}:{(72,1),(73,1),(132,1),(135,1)}
       102:{1,4,6}:{(73,1),(74,1),(79,1),(135,1)}
       103:{1,2,4,5,7}:{(74,1),(80,1),(91,1),(129,1),(136,1),(137,1),(145,1),(147,1),(208,1),(215,1),(221,1),(222,1),(282,1),(287,1),(288,1),(382,1),(384,1)}
       104:{1,3,4,7}:{(75,1),(77,1),(138,1),(282,1),(300,1),(336,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(78,1),(132,1),(138,1),(139,1),(280,1),(289,1)}
       106:{1,3,6,7}:{(76,1),(79,1),(133,1),(139,1),(140,1)}
       107:{2,4,6}:{(77,1),(78,1),(81,1),(138,1),(142,1)}
       108:{1,3,5,6}:{(78,1),(79,1),(82,1),(135,1),(139,1),(142,1),(143,1),(219,1)}
       109:{1,2,6}:{(79,1),(80,1)}
       110:{1,2,3,5,7}:{(80,1),(84,1),(137,1),(144,1),(145,1),(148,1),(221,1),(296,1),(350,1),(384,1)}
       111:{2,3,4,5}:{(81,1),(141,1),(146,1),(223,1),(303,1),(339,1),(349,1)}
       112:{1,4,5}:{(81,1),(82,1),(142,1)}
       113:{1,2,5}:{(82,1),(83,1)}
       114:{1,2,3,6}:{(83,1),(84,1),(148,1),(219,1)}
       115:{3,5,6,7}:{(85,1),(86,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(88,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(89,1),(132,1),(151,1),(152,1),(376,1),(380,1)}
       118:{1,3,4,6,7}:{(87,1),(90,1),(133,1),(152,1),(153,1),(209,1),(214,1),(225,1),(277,1),(282,1),(298,1),(300,1),(379,1)}
       119:{2,4,5,6}:{(88,1),(89,1),(151,1),(154,1),(275,1)}
       120:{1,3,5,6}:{(89,1),(90,1),(135,1),(152,1),(154,1),(155,1),(230,1),(391,1)}
       121:{2,4,6}:{(90,1),(91,1),(155,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(223,1),(232,1),(289,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,5,7}:{(92,1),(93,1),(94,1)}
       125:{2,3,4,6,7}:{(93,1),(95,1),(99,1),(160,1),(161,1),(176,1),(191,1),(233,1),(241,1),(265,1),(330,1),(364,1)}
       126:{3,4,5,6}:{(94,1),(159,1),(162,1),(267,1),(375,1)}
       127:{2,3,5,6}:{(94,1),(95,1),(101,1),(160,1),(162,1),(163,1),(375,1),(388,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(163,1),(164,1),(174,1),(250,1),(309,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(184,1),(236,1),(252,1),(307,1),(310,1)}
       130:{1,3,5,6,7}:{(97,1),(98,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(100,1),(104,1),(116,1),(159,1),(166,1),(168,1),(189,1),(235,1),(244,1),(264,1),(306,1),(316,1),(365,1)}
       132:{2,5,7}:{(98,1),(99,1),(101,1),(169,1)}
       133:{1,4,6,7}:{(99,1),(102,1),(106,1),(169,1),(177,1)}
       134:{2,4,5,6}:{(100,1),(101,1),(107,1),(168,1),(171,1),(172,1),(248,1),(320,1),(388,1)}
       135:{1,5,6}:{(101,1),(102,1),(169,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(109,1),(121,1),(164,1),(173,1),(174,1),(250,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(185,1),(251,1),(253,1),(260,1),(322,1)}
       138:{2,4,7}:{(104,1),(105,1),(107,1),(177,1)}
       139:{1,3,5,7}:{(105,1),(106,1),(108,1),(169,1),(177,1),(178,1),(253,1)}
       140:{1,2,6,7}:{(106,1),(109,1),(178,1),(311,1)}
       141:{2,3,4,6}:{(107,1),(111,1),(171,1),(176,1),(180,1),(257,1),(267,1),(309,1),(320,1)}
       142:{1,4,6}:{(107,1),(108,1),(112,1),(177,1)}
       143:{1,2,5,6}:{(108,1),(109,1),(113,1),(178,1),(181,1),(248,1)}
       144:{1,2,3,6}:{(109,1),(110,1),(174,1),(183,1),(390,1)}
       145:{1,2,4,7}:{(110,1),(175,1),(183,1),(186,1),(329,1)}
       146:{1,3,4,5}:{(111,1),(112,1),(180,1),(184,1),(185,1),(260,1),(370,1)}
       147:{1,2,4,5}:{(112,1),(113,1),(181,1),(184,1),(185,1),(186,1)}
       148:{1,2,3,5}:{(113,1),(114,1),(185,1),(186,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(117,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(119,1),(187,1),(189,1),(307,1)}
       152:{1,3,5,7}:{(117,1),(118,1),(120,1),(169,1),(189,1),(190,1),(264,1),(387,1)}
       153:{2,4,6,7}:{(118,1),(121,1),(190,1),(191,1),(252,1),(265,1),(311,1)}
       154:{1,4,5,6}:{(119,1),(120,1),(189,1),(192,1),(250,1)}
       155:{2,5,6}:{(120,1),(121,1),(190,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(261,1),(265,1)}
       158:{3,5,6,7}:{(123,1),(124,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(126,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,3,5,7}:{(124,1),(125,1),(127,1),(132,1),(197,1),(198,1),(356,1),(380,1)}
       161:{1,3,4,6,7}:{(125,1),(128,1),(133,1),(198,1),(199,1),(209,1),(214,1),(269,1),(277,1),(282,1),(334,1),(336,1),(379,1)}
       162:{2,4,5,6}:{(126,1),(127,1),(197,1),(200,1),(231,1)}
       163:{1,3,5,6}:{(127,1),(128,1),(135,1),(198,1),(200,1),(201,1),(274,1),(391,1)}
       164:{2,4,6}:{(128,1),(129,1),(201,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(223,1),(276,1),(289,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(132,1),(204,1),(205,1),(380,1)}
       168:{2,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(204,1),(206,1),(207,1),(280,1),(345,1),(380,1)}
       169:{1,5,7}:{(132,1),(133,1),(135,1)}
       170:{1,2,4,6,7}:{(133,1),(136,1),(140,1),(153,1),(199,1),(208,1),(209,1),(215,1),(282,1),(288,1),(340,1),(379,1)}
       171:{2,3,5,6}:{(134,1),(141,1),(206,1),(210,1),(230,1),(274,1)}
       172:{1,4,5,6}:{(134,1),(135,1),(142,1),(207,1),(210,1),(348,1),(391,1)}
       173:{1,2,5,6}:{(135,1),(136,1),(155,1),(201,1),(208,1),(212,1),(221,1),(391,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(145,1),(157,1),(203,1),(213,1),(224,1),(282,1),(297,1)}
       176:{2,3,4,7}:{(138,1),(141,1),(206,1),(214,1),(289,1),(300,1),(336,1),(345,1)}
       177:{1,4,7}:{(138,1),(139,1),(142,1)}
       178:{1,2,5,7}:{(139,1),(140,1),(143,1),(215,1),(280,1)}
       179:{1,2,3,6,7}:{(140,1),(144,1),(209,1),(216,1),(217,1),(341,1),(350,1),(353,1)}
       180:{1,3,4,6}:{(141,1),(142,1),(146,1),(210,1),(214,1),(218,1),(219,1),(293,1),(348,1)}
       181:{1,2,4,6}:{(142,1),(143,1),(147,1),(215,1),(218,1),(219,1)}
       182:{1,2,3,5,6}:{(143,1),(144,1),(148,1),(212,1),(216,1),(219,1),(220,1),(221,1),(285,1),(292,1),(295,1),(353,1)}
       183:{1,2,4,6}:{(144,1),(145,1),(213,1),(221,1)}
       184:{2,4,5}:{(146,1),(218,1),(223,1)}
       185:{1,3,5}:{(147,1),(219,1),(223,1),(224,1)}
       186:{1,2,4}:{(148,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(152,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(225,1),(227,1),(282,1)}
       190:{2,5,7}:{(152,1),(153,1),(155,1)}
       191:{2,3,6,7}:{(153,1),(156,1),(209,1),(228,1),(289,1),(298,1)}
       192:{2,4,5,6}:{(154,1),(155,1),(227,1),(230,1),(231,1)}
       193:{2,3,5,6}:{(155,1),(156,1),(212,1),(228,1),(230,1),(231,1),(232,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(231,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(160,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(233,1),(235,1),(265,1)}
       198:{1,3,5,7}:{(160,1),(161,1),(163,1),(169,1),(235,1),(236,1),(306,1),(387,1)}
       199:{2,4,6,7}:{(161,1),(164,1),(236,1),(237,1),(252,1),(307,1),(311,1)}
       200:{1,4,5,6}:{(162,1),(163,1),(235,1),(238,1),(250,1)}
       201:{2,5,6}:{(163,1),(164,1),(236,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(261,1),(307,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(168,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(169,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(171,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,4,5,7}:{(168,1),(169,1),(172,1),(177,1),(242,1),(244,1),(367,1),(387,1)}
       208:{1,2,5,7}:{(169,1),(170,1),(173,1),(190,1),(236,1),(246,1),(387,1)}
       209:{1,3,6,7}:{(170,1),(174,1),(191,1),(237,1),(246,1),(253,1),(322,1)}
       210:{1,3,5,6}:{(171,1),(172,1),(180,1),(244,1),(248,1)}
       211:{1,2,4,5,6}:{(172,1),(173,1),(181,1),(192,1),(238,1),(245,1),(248,1),(249,1),(250,1),(259,1),(320,1),(325,1),(366,1),(388,1)}
       212:{1,3,5,6}:{(173,1),(174,1),(193,1),(239,1),(246,1),(250,1),(251,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(183,1),(194,1),(240,1),(250,1),(251,1)}
       214:{1,3,4,7}:{(176,1),(177,1),(180,1),(244,1),(252,1),(253,1),(322,1),(367,1)}
       215:{1,2,4,7}:{(177,1),(178,1),(181,1),(252,1),(253,1)}
       216:{1,2,3,5,7}:{(178,1),(179,1),(182,1),(246,1),(253,1),(254,1),(255,1),(315,1),(324,1)}
       217:{1,2,4,6,7}:{(179,1),(183,1),(247,1),(254,1),(255,1),(325,1),(364,1),(371,1),(390,1)}
       218:{2,4,6}:{(180,1),(184,1),(248,1),(252,1),(257,1)}
       219:{1,3,6}:{(181,1),(185,1),(253,1),(257,1)}
       220:{1,2,4,6}:{(182,1),(186,1),(250,1),(254,1),(258,1),(259,1),(320,1)}
       221:{1,2,5}:{(183,1),(251,1)}
       222:{1,2,4,5}:{(184,1),(256,1),(260,1),(329,1),(370,1),(374,1)}
       223:{2,3,5}:{(184,1),(185,1),(257,1),(260,1),(261,1)}
       224:{1,3,4}:{(185,1),(186,1),(261,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(190,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(192,1),(262,1),(264,1),(265,1)}
       228:{2,3,5,7}:{(190,1),(191,1),(193,1),(246,1),(264,1),(265,1)}
       229:{2,3,4,6,7}:{(191,1),(194,1),(247,1),(265,1),(266,1),(323,1),(330,1),(333,1),(364,1),(373,1)}
       230:{3,5,6}:{(192,1),(264,1),(267,1)}
       231:{2,4,6}:{(193,1),(250,1),(265,1),(267,1),(268,1)}
       232:{2,3,5}:{(194,1),(251,1),(268,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(198,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(269,1),(271,1),(282,1)}
       236:{2,5,7}:{(198,1),(199,1),(201,1)}
       237:{2,3,6,7}:{(199,1),(202,1),(209,1),(272,1),(289,1),(334,1)}
       238:{2,4,5,6}:{(200,1),(201,1),(271,1),(274,1),(275,1)}
       239:{2,3,5,6}:{(201,1),(202,1),(212,1),(272,1),(274,1),(275,1),(276,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(275,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(207,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(208,1),(226,1),(270,1),(278,1),(279,1),(292,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(210,1),(214,1),(277,1),(280,1)}
       245:{1,2,4,5,7}:{(207,1),(208,1),(211,1),(215,1),(227,1),(271,1),(278,1),(280,1),(281,1),(282,1),(343,1),(345,1),(380,1)}
       246:{1,3,5,7}:{(208,1),(209,1),(212,1),(228,1),(272,1),(282,1)}
       247:{1,3,4,6,7}:{(209,1),(213,1),(217,1),(229,1),(273,1),(282,1),(283,1),(290,1),(347,1),(351,1),(353,1),(379,1),(385,1)}
       248:{2,5,6}:{(210,1),(218,1),(280,1)}
       249:{1,3,5,6}:{(211,1),(219,1),(230,1),(274,1),(281,1),(285,1),(286,1),(295,1),(353,1)}
       250:{1,4,6}:{(212,1),(231,1),(275,1),(282,1),(287,1)}
       251:{1,3,5}:{(213,1),(221,1),(232,1),(276,1),(287,1)}
       252:{2,4,7}:{(214,1),(218,1),(280,1),(289,1)}
       253:{1,3,7}:{(215,1),(219,1),(289,1)}
       254:{1,2,4,7}:{(216,1),(220,1),(282,1),(290,1),(345,1)}
       255:{1,2,5,7}:{(217,1),(221,1),(283,1),(292,1),(380,1)}
       256:{1,2,4,6}:{(218,1),(222,1),(284,1),(288,1),(293,1),(348,1)}
       257:{2,3,6}:{(218,1),(219,1),(223,1),(289,1),(293,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(224,1),(290,1),(294,1),(295,1),(353,1)}
       259:{1,2,4,5}:{(220,1),(221,1),(287,1),(295,1),(349,1)}
       260:{1,3,5}:{(222,1),(223,1),(293,1),(297,1)}
       261:{2,3,4}:{(223,1),(224,1),(297,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(228,1),(279,1),(298,1),(299,1),(302,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(230,1),(298,1),(300,1)}
       265:{2,4,7}:{(228,1),(231,1),(282,1),(300,1)}
       266:{2,3,5,7}:{(229,1),(232,1),(283,1),(301,1),(302,1),(356,1),(380,1)}
       267:{3,4,6}:{(230,1),(231,1),(300,1),(303,1)}
       268:{2,4,5}:{(231,1),(232,1),(287,1),(303,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(236,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(238,1),(304,1),(306,1),(307,1)}
       272:{2,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(306,1),(307,1)}
       273:{2,3,4,6,7}:{(237,1),(240,1),(247,1),(307,1),(308,1),(323,1),(359,1),(362,1),(364,1),(373,1)}
       274:{3,5,6}:{(238,1),(306,1),(309,1)}
       275:{2,4,6}:{(239,1),(250,1),(307,1),(309,1),(310,1)}
       276:{2,3,5}:{(240,1),(251,1),(310,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(245,1),(262,1),(304,1),(311,1),(312,1),(313,1),(325,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(246,1),(263,1),(305,1),(312,1),(313,1),(318,1),(363,1),(365,1),(387,1)}
       280:{2,5,7}:{(244,1),(248,1),(252,1),(311,1)}
       281:{1,3,5,7}:{(245,1),(249,1),(253,1),(264,1),(306,1),(312,1),(315,1),(316,1)}
       282:{1,4,7}:{(246,1),(250,1),(265,1),(307,1)}
       283:{1,3,5,7}:{(247,1),(251,1),(255,1),(266,1),(308,1),(317,1),(318,1),(387,1)}
       284:{1,2,5,6}:{(248,1),(256,1),(314,1),(319,1),(374,1),(390,1)}
       285:{2,3,5,6}:{(248,1),(249,1),(257,1),(315,1),(319,1),(320,1),(328,1),(373,1),(388,1)}
       286:{1,3,4,6}:{(249,1),(250,1),(267,1),(309,1),(316,1),(320,1),(321,1)}
       287:{1,4,5}:{(250,1),(251,1),(268,1),(310,1)}
       288:{1,2,4,7}:{(252,1),(256,1),(314,1),(322,1),(367,1)}
       289:{2,3,7}:{(252,1),(253,1),(257,1),(322,1)}
       290:{1,3,4,7}:{(253,1),(254,1),(258,1),(323,1),(324,1)}
       291:{1,2,4,5,7}:{(254,1),(255,1),(259,1),(317,1),(324,1),(325,1),(368,1)}
       292:{1,2,5,6}:{(255,1),(318,1),(325,1),(388,1),(390,1)}
       293:{1,3,6}:{(256,1),(257,1),(260,1),(322,1)}
       294:{2,3,4,6}:{(257,1),(258,1),(261,1),(320,1),(323,1),(327,1),(328,1),(373,1)}
       295:{1,3,5}:{(258,1),(259,1),(328,1)}
       296:{1,2,3,5}:{(260,1),(326,1),(329,1),(374,1)}
       297:{1,3,4}:{(260,1),(261,1),(329,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(265,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(267,1)}
       301:{2,4,5,7}:{(265,1),(266,1),(268,1),(317,1),(332,1),(333,1)}
       302:{2,3,5,6}:{(266,1),(318,1),(333,1),(373,1),(375,1),(388,1)}
       303:{3,4,5}:{(267,1),(268,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(272,1),(279,1),(334,1),(335,1),(338,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(274,1),(334,1),(336,1)}
       307:{2,4,7}:{(272,1),(275,1),(282,1),(336,1)}
       308:{2,3,5,7}:{(273,1),(276,1),(283,1),(337,1),(338,1),(376,1),(380,1)}
       309:{3,4,6}:{(274,1),(275,1),(336,1),(339,1)}
       310:{2,4,5}:{(275,1),(276,1),(287,1),(339,1)}
       311:{2,6,7}:{(277,1),(280,1)}
       312:{1,3,6,7}:{(278,1),(281,1),(298,1),(334,1),(341,1),(353,1)}
       313:{1,4,6,7}:{(279,1),(282,1),(299,1),(335,1),(343,1),(347,1)}
       314:{1,2,5,7}:{(280,1),(284,1),(288,1),(340,1),(344,1)}
       315:{2,3,5,7}:{(280,1),(281,1),(285,1),(289,1),(341,1),(344,1),(345,1),(380,1)}
       316:{1,3,4,7}:{(281,1),(282,1),(286,1),(300,1),(336,1),(345,1)}
       317:{1,4,5,7}:{(282,1),(283,1),(287,1),(301,1),(337,1),(347,1)}
       318:{1,3,5,6}:{(283,1),(292,1),(302,1),(338,1),(347,1),(353,1),(385,1),(391,1)}
       319:{1,3,5,6}:{(284,1),(285,1),(293,1),(344,1),(348,1),(355,1),(385,1),(391,1)}
       320:{2,4,6}:{(285,1),(286,1),(345,1),(348,1),(349,1)}
       321:{1,3,4,5}:{(286,1),(287,1),(295,1),(303,1),(339,1),(349,1)}
       322:{1,3,7}:{(288,1),(289,1),(293,1)}
       323:{2,3,4,7}:{(289,1),(290,1),(294,1),(345,1),(351,1),(352,1)}
       324:{1,3,5,7}:{(290,1),(291,1),(295,1),(352,1),(353,1)}
       325:{1,2,4,6}:{(291,1),(292,1),(347,1),(353,1),(383,1)}
       326:{1,2,3,6}:{(293,1),(296,1),(350,1),(354,1)}
       327:{1,3,4,6}:{(293,1),(294,1),(297,1),(348,1),(351,1),(354,1),(355,1),(385,1)}
       328:{2,3,5}:{(294,1),(295,1),(349,1),(355,1)}
       329:{1,2,4}:{(296,1),(297,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(303,1),(356,1),(358,1)}
       333:{2,4,6}:{(301,1),(302,1),(347,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(307,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(309,1)}
       337:{2,4,5,7}:{(307,1),(308,1),(310,1),(317,1),(361,1),(362,1)}
       338:{2,3,5,6}:{(308,1),(318,1),(362,1),(373,1),(386,1),(388,1)}
       339:{3,4,5}:{(309,1),(310,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(315,1),(363,1),(364,1),(373,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(316,1),(330,1),(359,1),(364,1),(365,1),(369,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(319,1),(322,1),(363,1),(367,1),(387,1)}
       345:{2,4,7}:{(315,1),(316,1),(320,1),(367,1)}
       346:{1,3,4,5,7}:{(316,1),(317,1),(321,1),(324,1),(332,1),(361,1),(365,1),(368,1),(369,1)}
       347:{1,4,6}:{(317,1),(318,1),(333,1),(362,1)}
       348:{1,4,6}:{(319,1),(320,1),(367,1),(370,1)}
       349:{2,4,5}:{(320,1),(321,1),(328,1),(370,1)}
       350:{1,2,3,7}:{(322,1),(326,1),(371,1)}
       351:{1,3,4,7}:{(322,1),(323,1),(327,1),(367,1),(371,1),(372,1)}
       352:{2,3,5,7}:{(323,1),(324,1),(328,1),(368,1),(372,1),(373,1)}
       353:{1,3,6}:{(324,1),(325,1),(373,1)}
       354:{1,2,4,6}:{(326,1),(327,1),(329,1),(371,1),(374,1),(390,1)}
       355:{1,3,5}:{(327,1),(328,1),(370,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(339,1),(376,1),(378,1)}
       362:{2,4,6}:{(337,1),(338,1),(347,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(345,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(347,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(348,1)}
       368:{2,4,5,7}:{(345,1),(346,1),(349,1),(352,1),(380,1),(382,1),(383,1)}
       369:{1,3,4,6}:{(346,1),(347,1),(353,1),(358,1),(378,1),(381,1),(383,1)}
       370:{1,4,5}:{(348,1),(349,1),(355,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(354,1),(384,1)}
       372:{1,3,5,7}:{(351,1),(352,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(352,1),(353,1),(383,1),(385,1)}
       374:{1,2,5}:{(354,1),(355,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(369,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(370,1),(372,1),(387,1),(389,1)}
       383:{2,4,6}:{(368,1),(369,1),(373,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(374,1),(390,1)}
       385:{1,3,6}:{(372,1),(373,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1386 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1387 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(38,1),(149,1),(171,1)}
         5:{1,2,3,7}:{(1,1),(11,1),(36,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(10,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(20,1),(54,1),(57,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(19,1),(22,1),(174,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(21,1),(23,1),(40,1),(54,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(73,1),(76,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(33,1)}
        19:{1,3,4,7}:{(8,1),(11,1),(31,1),(35,1),(36,1),(77,1),(172,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,6}:{(10,1),(12,1),(34,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(38,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(37,1),(61,1),(77,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(92,1),(95,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{2,3,4,7}:{(16,1),(19,1),(48,1),(52,1),(53,1),(98,1),(165,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(18,1),(50,1),(54,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(102,1),(158,1),(164,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(22,1),(52,1),(55,1),(57,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,5,7}:{(21,1),(23,1),(56,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(22,1),(57,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(65,1),(110,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(113,1)}
        45:{1,2,3,7}:{(26,1),(66,1),(152,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,5}:{(28,1),(30,1),(65,1),(68,1)}
        48:{1,3,4,7}:{(28,1),(31,1),(66,1),(70,1),(71,1),(116,1),(152,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(30,1),(33,1),(68,1),(72,1),(73,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(34,1),(60,1),(69,1),(73,1),(75,1),(76,1),(105,1),(122,1),(144,1),(151,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(35,1),(70,1),(74,1),(76,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,6}:{(33,1),(34,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(33,1),(35,1),(74,1),(77,1),(78,1),(123,1)}
        56:{1,3,5,7}:{(34,1),(36,1),(37,1),(75,1),(77,1),(79,1),(123,1),(168,1),(172,1)}
        57:{1,3,6}:{(35,1),(38,1),(76,1),(78,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,5}:{(44,1),(47,1)}
        66:{1,2,4,7}:{(44,1),(45,1),(48,1),(89,1),(90,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(47,1),(50,1),(92,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(51,1),(80,1),(88,1),(92,1),(94,1),(95,1),(133,1),(140,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(52,1),(89,1),(93,1),(95,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(96,1)}
        73:{2,4,6}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1)}
        74:{2,4,5,7}:{(50,1),(52,1),(55,1),(93,1),(97,1),(98,1),(99,1),(143,1)}
        75:{2,3,5,7}:{(51,1),(53,1),(56,1),(83,1),(94,1),(98,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        76:{2,3,6}:{(52,1),(57,1),(95,1),(99,1)}
        77:{1,4,7}:{(54,1),(56,1),(98,1)}
        78:{1,4,6}:{(55,1),(57,1),(99,1),(102,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(101,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(73,1),(103,1),(105,1),(106,1),(122,1),(144,1),(157,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(65,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(65,1),(67,1),(69,1),(111,1),(112,1),(113,1),(144,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(70,1),(113,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,6}:{(68,1),(69,1),(73,1),(116,1)}
        93:{1,4,5,7}:{(68,1),(70,1),(74,1),(116,1),(117,1),(155,1)}
        94:{1,3,5,7}:{(69,1),(71,1),(75,1),(104,1),(112,1),(116,1),(118,1),(152,1),(155,1)}
        95:{1,3,6}:{(70,1),(76,1),(113,1),(117,1)}
        96:{3,4,6}:{(72,1),(73,1),(105,1),(119,1)}
        97:{3,4,5,7}:{(72,1),(74,1),(119,1),(120,1),(156,1)}
        98:{2,4,7}:{(73,1),(75,1),(77,1),(116,1),(119,1)}
        99:{2,4,6}:{(74,1),(76,1),(78,1),(117,1),(120,1),(122,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(121,1),(147,1),(169,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(121,1),(123,1)}
       102:{1,5,6}:{(78,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(92,1),(124,1),(125,1),(140,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(98,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(88,1),(92,1),(133,1),(134,1),(137,1)}
       112:{1,2,5,7}:{(88,1),(90,1),(94,1),(134,1),(135,1),(159,1)}
       113:{1,2,6}:{(89,1),(95,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(92,1),(96,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,7}:{(92,1),(94,1),(98,1)}
       117:{1,4,6}:{(93,1),(95,1),(99,1),(140,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(139,1)}
       119:{3,4,7}:{(96,1),(98,1),(127,1)}
       120:{3,4,6}:{(97,1),(99,1),(142,1)}
       121:{2,4,6,7}:{(98,1),(99,1),(100,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,5,6}:{(99,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(116,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(112,1),(116,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(116,1),(119,1),(145,1),(152,1),(154,1)}
       139:{1,4,6,7}:{(116,1),(117,1),(118,1),(121,1),(155,1)}
       140:{1,5,6}:{(117,1),(122,1),(155,1)}
       141:{3,4,6,7}:{(119,1),(120,1),(121,1),(147,1),(156,1),(170,1)}
       142:{3,5,6}:{(120,1),(122,1),(156,1),(157,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(156,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       157:{4,5,6}:{(142,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(156,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1388 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(7,1),(27,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(30,1),(67,1),(110,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(70,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(32,1),(35,1),(69,1)}
         5:{1,3,4,6}:{(2,1),(4,1),(11,1),(12,1),(13,1),(14,1),(40,1),(43,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,5}:{(2,1),(12,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(126,1)}
         9:{2,3,5}:{(4,1),(12,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(53,1),(92,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(57,1),(60,1),(69,1)}
        12:{1,3,5}:{(5,1),(7,1),(9,1),(21,1),(23,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(10,1),(22,1),(25,1),(64,1),(70,1),(111,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(7,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,6}:{(7,1),(24,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(25,1),(30,1)}
        18:{2,4,5}:{(9,1),(23,1),(31,1),(32,1)}
        19:{2,3,5,6}:{(9,1),(24,1),(32,1),(34,1),(35,1),(69,1),(71,1),(76,1),(104,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(33,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(36,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(80,1),(92,1)}
        23:{1,4,5}:{(12,1),(18,1),(36,1),(40,1)}
        24:{1,3,5,6}:{(12,1),(16,1),(19,1),(37,1),(40,1),(42,1),(43,1),(47,1),(89,1),(91,1),(121,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(17,1),(20,1),(38,1),(41,1),(43,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(40,1),(47,1),(48,1),(86,1)}
        29:{1,2,5,7}:{(16,1),(42,1),(48,1),(49,1),(122,1),(126,1)}
        30:{1,2,6}:{(17,1),(43,1)}
        31:{3,4,5}:{(18,1),(51,1)}
        32:{2,4,6}:{(18,1),(19,1),(40,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(54,1),(97,1)}
        34:{2,3,5,7}:{(19,1),(42,1),(53,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,4,5}:{(21,1),(23,1),(56,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(57,1),(59,1),(60,1),(69,1),(98,1),(103,1),(104,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(60,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,6}:{(23,1),(24,1),(32,1),(57,1),(64,1)}
        41:{1,4,5,7}:{(23,1),(25,1),(33,1),(58,1),(64,1),(65,1),(109,1)}
        42:{1,3,5,7}:{(24,1),(29,1),(34,1),(59,1),(64,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        43:{1,3,6}:{(25,1),(30,1),(35,1),(60,1),(65,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(64,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(32,1),(61,1),(71,1),(72,1),(76,1),(104,1),(115,1)}
        51:{3,4,6}:{(31,1),(32,1),(71,1),(73,1)}
        52:{3,4,5,7}:{(31,1),(33,1),(73,1),(74,1),(114,1)}
        53:{2,4,7}:{(32,1),(34,1),(64,1),(73,1)}
        54:{2,4,6}:{(33,1),(35,1),(65,1),(74,1),(76,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(75,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(78,1)}
        57:{2,4,6}:{(36,1),(37,1),(40,1),(78,1),(80,1)}
        58:{2,4,5,7}:{(36,1),(38,1),(41,1),(79,1),(80,1),(81,1),(120,1)}
        59:{2,3,5,7}:{(37,1),(42,1),(80,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        60:{2,3,6}:{(38,1),(43,1),(81,1)}
        61:{1,4,5,6}:{(40,1),(50,1),(77,1),(83,1),(84,1),(89,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(40,1),(47,1),(51,1),(78,1),(83,1),(86,1),(87,1)}
        64:{1,4,7}:{(40,1),(42,1),(53,1),(80,1)}
        65:{1,4,6}:{(41,1),(43,1),(54,1),(81,1),(89,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(88,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(51,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(53,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,7}:{(51,1),(53,1),(93,1)}
        74:{3,4,6}:{(52,1),(54,1),(96,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(55,1),(88,1),(95,1),(97,1)}
        76:{2,5,6}:{(54,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(57,1),(61,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        78:{3,4,6}:{(56,1),(57,1),(98,1),(100,1)}
        79:{3,4,5,7}:{(56,1),(58,1),(100,1),(101,1),(131,1)}
        80:{2,4,7}:{(57,1),(59,1),(64,1),(100,1)}
        81:{2,4,6}:{(58,1),(60,1),(65,1),(101,1),(103,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(102,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(64,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(64,1),(70,1),(73,1),(100,1),(105,1),(108,1)}
        88:{1,4,6,7}:{(64,1),(65,1),(66,1),(75,1),(102,1),(109,1)}
        89:{1,5,6}:{(65,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(73,1),(74,1),(75,1),(112,1),(114,1),(135,1)}
        96:{3,5,6}:{(74,1),(76,1),(114,1),(115,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(114,1)}
        98:{3,5,6}:{(77,1),(78,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(80,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,7}:{(78,1),(80,1),(116,1)}
       101:{3,4,6}:{(79,1),(81,1),(119,1)}
       102:{2,4,6,7}:{(80,1),(81,1),(82,1),(88,1),(118,1),(120,1)}
       103:{2,5,6}:{(81,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(96,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{3,5,6}:{(101,1),(103,1),(131,1),(132,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(131,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(119,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1389 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1390 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1391 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1392 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

1393 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1394 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1395 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1396 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1397 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1398 :   0:{1,2,3,5}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(24,1),(144,1)}
         3:{1,2,3}:{(8,1)}
         4:{1,3,4}:{(1,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(1,1),(11,1),(13,1),(14,1),(36,1),(43,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(46,1),(123,1),(157,1)}
         7:{1,2,3,7}:{(2,1),(15,1),(42,1)}
         8:{1,2,4}:{(3,1),(16,1),(17,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(20,1),(97,1)}
        10:{2,3,4}:{(4,1),(16,1),(21,1)}
        11:{1,3,5}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(22,1),(24,1),(25,1),(26,1),(63,1),(66,1),(101,1),(141,1)}
        13:{1,2,4,6}:{(5,1),(24,1),(27,1),(28,1),(56,1),(63,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(26,1),(29,1),(168,1)}
        16:{1,3,4}:{(8,1),(10,1),(30,1)}
        17:{1,2,5}:{(8,1),(30,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        19:{1,2,3,5}:{(9,1),(33,1),(35,1),(75,1)}
        20:{1,2,3,7}:{(9,1),(34,1),(121,1)}
        21:{2,3,5}:{(10,1),(11,1),(30,1),(36,1),(37,1)}
        22:{2,3,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1),(39,1),(77,1),(80,1),(84,1),(120,1)}
        23:{1,3,4,5}:{(11,1),(36,1),(40,1),(43,1),(82,1)}
        24:{1,3,6}:{(11,1),(13,1),(37,1),(42,1)}
        25:{1,3,5}:{(12,1),(14,1),(38,1),(43,1)}
        26:{1,3,4,7}:{(12,1),(15,1),(39,1),(42,1),(44,1),(87,1),(158,1)}
        27:{1,2,5,6}:{(13,1),(14,1),(41,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,4,7}:{(13,1),(42,1),(45,1),(79,1),(87,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(44,1),(46,1)}
        30:{1,3,5}:{(16,1),(17,1),(21,1),(47,1),(48,1)}
        31:{1,3,4,6}:{(16,1),(18,1),(22,1),(48,1),(49,1),(50,1),(55,1),(92,1),(96,1),(97,1)}
        32:{1,2,6}:{(17,1),(48,1),(52,1)}
        33:{1,2,5}:{(18,1),(49,1)}
        34:{1,2,4,7}:{(18,1),(20,1),(50,1),(52,1),(54,1)}
        35:{1,2,4}:{(19,1),(55,1)}
        36:{2,4,5}:{(21,1),(23,1),(47,1),(56,1)}
        37:{2,3,6}:{(21,1),(24,1),(48,1),(56,1),(58,1)}
        38:{2,3,5}:{(22,1),(25,1),(49,1),(59,1)}
        39:{2,3,4,7}:{(22,1),(26,1),(50,1),(58,1),(60,1),(105,1),(142,1)}
        40:{1,3,4,6}:{(23,1),(24,1),(56,1),(61,1),(62,1),(63,1),(104,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(57,1),(63,1),(64,1),(66,1),(112,1),(141,1),(163,1)}
        42:{1,3,7}:{(24,1),(28,1),(58,1)}
        43:{1,4,5}:{(25,1),(59,1),(63,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(29,1),(60,1),(65,1),(66,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(64,1),(67,1),(103,1),(168,1)}
        46:{1,2,6}:{(29,1),(66,1)}
        47:{1,4,5}:{(30,1),(36,1),(68,1)}
        48:{1,3,6}:{(30,1),(32,1),(37,1),(68,1),(70,1)}
        49:{1,3,5}:{(31,1),(33,1),(38,1),(71,1)}
        50:{1,3,4,7}:{(31,1),(34,1),(39,1),(70,1),(72,1),(116,1),(121,1)}
        51:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(76,1),(151,1)}
        52:{1,2,7}:{(32,1),(70,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(71,1),(73,1),(75,1),(118,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(72,1),(76,1)}
        55:{1,3,4}:{(35,1),(75,1),(77,1)}
        56:{2,4,6}:{(36,1),(37,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(69,1),(78,1),(80,1),(81,1),(84,1),(120,1),(124,1),(130,1),(151,1)}
        58:{2,3,7}:{(37,1),(42,1),(70,1),(79,1)}
        59:{2,4,5}:{(38,1),(43,1),(71,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(44,1),(72,1),(83,1),(84,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(124,1)}
        62:{1,3,4,7}:{(40,1),(42,1),(79,1),(86,1),(87,1),(127,1)}
        63:{1,4,6}:{(41,1),(43,1),(80,1),(87,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(45,1),(81,1),(87,1),(88,1),(132,1),(158,1),(171,1)}
        65:{1,4,5,7}:{(43,1),(44,1),(83,1),(87,1),(89,1),(132,1)}
        66:{1,3,6}:{(44,1),(46,1),(84,1),(89,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(88,1),(126,1)}
        68:{1,4,6}:{(47,1),(48,1),(56,1),(90,1),(91,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(51,1),(57,1),(90,1),(92,1),(93,1),(96,1),(97,1),(140,1)}
        70:{1,3,7}:{(48,1),(52,1),(58,1),(91,1)}
        71:{1,4,5}:{(49,1),(59,1),(92,1)}
        72:{1,3,5,7}:{(49,1),(50,1),(54,1),(60,1),(95,1),(96,1)}
        73:{1,2,4,6}:{(51,1),(53,1),(92,1),(97,1),(98,1),(136,1)}
        74:{1,2,5,7}:{(51,1),(52,1),(93,1),(98,1),(99,1),(164,1)}
        75:{1,3,5}:{(53,1),(55,1),(97,1),(100,1)}
        76:{1,2,6}:{(54,1),(96,1)}
        77:{2,3,4}:{(55,1),(100,1),(101,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(103,1)}
        79:{2,4,7}:{(56,1),(58,1),(62,1),(91,1),(103,1)}
        80:{2,4,6}:{(57,1),(59,1),(63,1),(92,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(57,1),(58,1),(64,1),(93,1),(103,1),(105,1),(106,1),(142,1),(145,1),(148,1),(164,1)}
        82:{3,4,5}:{(59,1),(104,1)}
        83:{2,4,5,7}:{(59,1),(60,1),(65,1),(95,1),(105,1),(107,1),(108,1),(148,1)}
        84:{2,3,6}:{(60,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(102,1),(109,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(103,1),(109,1),(110,1),(145,1)}
        87:{1,4,7}:{(63,1),(64,1),(105,1)}
        88:{1,3,6,7}:{(64,1),(66,1),(67,1),(106,1),(111,1),(174,1)}
        89:{1,4,6}:{(65,1),(66,1),(108,1),(112,1)}
        90:{1,5,6}:{(68,1),(78,1),(114,1)}
        91:{1,4,7}:{(68,1),(70,1),(79,1),(114,1)}
        92:{1,4,6}:{(69,1),(71,1),(80,1),(116,1)}
        93:{1,3,5,7}:{(69,1),(70,1),(74,1),(81,1),(114,1),(116,1),(117,1),(121,1),(156,1)}
        94:{1,3,4,5}:{(71,1),(75,1),(82,1),(115,1),(118,1)}
        95:{1,4,5,7}:{(71,1),(72,1),(83,1),(116,1),(119,1),(156,1)}
        96:{1,3,6}:{(72,1),(76,1),(84,1),(119,1)}
        97:{1,3,6}:{(73,1),(75,1),(120,1),(121,1)}
        98:{1,2,4,7}:{(73,1),(74,1),(116,1),(121,1),(155,1)}
        99:{1,2,6,7}:{(74,1),(76,1),(117,1),(172,1)}
       100:{2,3,5}:{(75,1),(77,1),(118,1),(120,1),(122,1)}
       101:{1,3,4}:{(77,1),(122,1),(123,1)}
       102:{2,4,5,6}:{(78,1),(80,1),(85,1),(113,1),(124,1),(125,1),(130,1),(151,1),(162,1)}
       103:{2,5,7}:{(78,1),(79,1),(86,1),(114,1),(126,1)}
       104:{3,4,6}:{(80,1),(82,1),(124,1),(127,1)}
       105:{2,4,7}:{(80,1),(81,1),(87,1),(116,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(84,1),(88,1),(117,1),(126,1),(128,1),(159,1),(172,1)}
       107:{3,4,5,7}:{(82,1),(83,1),(127,1),(129,1),(161,1)}
       108:{2,4,6}:{(83,1),(84,1),(89,1),(119,1),(129,1),(130,1)}
       109:{1,4,5,7}:{(85,1),(86,1),(87,1),(125,1),(131,1),(132,1),(171,1)}
       110:{1,3,6,7}:{(86,1),(126,1),(131,1),(159,1)}
       111:{1,4,6,7}:{(87,1),(88,1),(89,1),(128,1),(132,1)}
       112:{1,5,6}:{(89,1),(130,1),(132,1)}
       113:{1,4,5,6}:{(90,1),(92,1),(102,1),(133,1),(134,1),(140,1)}
       114:{1,5,7}:{(90,1),(91,1),(103,1),(135,1)}
       115:{1,3,4,6}:{(92,1),(94,1),(97,1),(104,1),(133,1),(136,1),(137,1)}
       116:{1,4,7}:{(92,1),(93,1),(105,1)}
       117:{1,3,6,7}:{(93,1),(96,1),(99,1),(106,1),(135,1),(138,1)}
       118:{2,4,5}:{(94,1),(100,1),(136,1),(139,1)}
       119:{1,4,6}:{(95,1),(96,1),(108,1),(140,1)}
       120:{2,3,6}:{(97,1),(100,1),(136,1),(141,1),(142,1)}
       121:{1,3,7}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(100,1),(101,1),(139,1),(141,1),(143,1)}
       123:{1,2,4}:{(101,1),(143,1),(144,1)}
       124:{3,5,6}:{(102,1),(104,1),(145,1)}
       125:{2,4,5,7}:{(102,1),(103,1),(105,1),(109,1),(134,1),(145,1),(146,1),(148,1),(164,1),(170,1)}
       126:{2,6,7}:{(103,1),(110,1),(135,1)}
       127:{3,4,7}:{(104,1),(105,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(138,1),(147,1),(148,1)}
       129:{3,4,6}:{(107,1),(108,1),(149,1)}
       130:{2,5,6}:{(108,1),(112,1),(140,1),(148,1),(149,1)}
       131:{1,4,6,7}:{(109,1),(110,1),(146,1),(150,1),(174,1)}
       132:{1,5,7}:{(111,1),(112,1),(148,1)}
       133:{1,3,5,6}:{(113,1),(115,1),(124,1),(151,1),(152,1)}
       134:{1,4,5,7}:{(113,1),(114,1),(116,1),(125,1),(152,1),(153,1),(156,1)}
       135:{1,6,7}:{(114,1),(126,1)}
       136:{2,4,6}:{(115,1),(118,1),(120,1),(151,1),(154,1),(155,1)}
       137:{1,3,4,7}:{(115,1),(116,1),(121,1),(127,1),(152,1),(155,1)}
       138:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(156,1)}
       139:{1,4,5}:{(118,1),(122,1),(154,1)}
       140:{1,5,6}:{(119,1),(130,1),(156,1)}
       141:{1,3,6}:{(120,1),(122,1),(154,1),(157,1),(158,1)}
       142:{2,3,7}:{(120,1),(121,1),(155,1),(158,1)}
       143:{1,2,5}:{(122,1),(123,1),(157,1)}
       144:{1,2,3}:{(123,1)}
       145:{3,5,7}:{(124,1),(125,1),(127,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(131,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(127,1),(128,1),(129,1),(159,1),(161,1),(173,1)}
       148:{2,5,7}:{(128,1),(130,1),(132,1),(156,1),(161,1)}
       149:{3,5,6}:{(129,1),(130,1),(161,1),(162,1)}
       150:{1,5,6,7}:{(131,1),(132,1),(160,1)}
       151:{2,5,6}:{(133,1),(136,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(137,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(134,1),(135,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(136,1),(139,1),(141,1),(163,1),(167,1)}
       155:{2,4,7}:{(136,1),(137,1),(142,1),(164,1),(167,1)}
       156:{1,5,7}:{(138,1),(140,1),(148,1)}
       157:{1,2,6}:{(141,1),(143,1),(168,1)}
       158:{1,3,7}:{(141,1),(142,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(148,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1399 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1400 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1401 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(137,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(107,1),(113,1),(166,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(72,1),(118,1),(125,1),(127,1),(163,1),(169,1),(173,1),(210,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(79,1),(93,1),(134,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(79,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(191,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(45,1),(92,1),(137,1),(143,1),(148,1),(151,1),(191,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(97,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(29,1),(54,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(55,1),(162,1),(169,1),(208,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(107,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(27,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(27,1),(28,1),(171,1),(179,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(28,1),(29,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(210,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(28,1),(31,1),(32,1),(64,1),(71,1),(117,1),(125,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(34,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(36,1),(79,1),(81,1),(93,1),(136,1),(143,1),(150,1),(189,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(186,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(34,1),(38,1),(39,1),(43,1),(79,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(134,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(45,1),(89,1)}
        27:{1,3,4,7}:{(15,1),(17,1),(45,1),(191,1),(196,1)}
        28:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(45,1),(46,1),(148,1),(152,1)}
        29:{1,3,6,7}:{(16,1),(44,1),(46,1),(47,1),(145,1)}
        30:{1,3,4,5}:{(17,1),(48,1),(97,1),(155,1),(228,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(48,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(46,1),(50,1),(51,1),(90,1),(97,1),(100,1),(145,1)}
        33:{1,2,4,5,6}:{(20,1),(52,1),(53,1),(102,1),(105,1),(119,1),(158,1),(162,1),(169,1),(175,1),(204,1),(206,1),(208,1),(216,1),(244,1)}
        34:{1,4,5,7}:{(19,1),(22,1),(53,1),(54,1),(66,1)}
        35:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(54,1),(55,1),(56,1),(104,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(55,1),(57,1),(58,1),(161,1),(208,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(53,1),(59,1),(64,1),(105,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(55,1),(61,1),(62,1),(68,1),(109,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(218,1),(237,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(30,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(29,1),(66,1),(69,1),(118,1)}
        45:{2,4,7}:{(27,1),(28,1),(31,1),(69,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(32,1),(66,1),(69,1),(70,1),(124,1)}
        47:{1,2,6,7}:{(29,1),(70,1),(173,1)}
        48:{2,4,5}:{(30,1),(31,1),(71,1),(72,1),(125,1),(181,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(71,1),(73,1),(117,1),(128,1),(181,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(72,1)}
        51:{1,2,5,6}:{(32,1),(70,1),(74,1),(125,1),(173,1)}
        52:{1,3,5,6}:{(33,1),(36,1),(75,1),(76,1),(182,1),(186,1),(194,1),(224,1),(231,1)}
        53:{1,4,5,6}:{(34,1),(38,1),(77,1),(90,1),(141,1),(228,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(39,1),(77,1),(79,1)}
        55:{2,4,6,7}:{(35,1),(37,1),(79,1),(80,1),(81,1),(133,1)}
        56:{1,3,4,7}:{(36,1),(75,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(76,1),(79,1),(81,1),(82,1),(189,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(80,1),(82,1),(83,1),(186,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(80,1),(87,1),(88,1),(94,1),(95,1),(138,1),(139,1),(141,1),(145,1),(150,1),(186,1),(191,1),(194,1),(196,1),(199,1),(227,1),(232,1),(242,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(47,1),(88,1),(93,1),(94,1),(96,1),(146,1),(150,1),(192,1),(225,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(49,1),(91,1),(95,1),(152,1),(196,1),(202,1)}
        69:{1,4,7}:{(45,1),(46,1),(50,1)}
        70:{1,2,5,7}:{(46,1),(47,1),(51,1),(96,1),(148,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,4,5}:{(48,1),(50,1),(97,1),(203,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(155,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(56,1),(101,1),(102,1),(175,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(57,1),(102,1),(103,1),(105,1),(157,1),(161,1),(204,1),(207,1),(208,1)}
        77:{1,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(105,1),(238,1)}
        78:{1,3,4,5,7}:{(54,1),(56,1),(60,1),(101,1),(104,1),(106,1),(114,1),(164,1),(171,1),(213,1),(238,1)}
        79:{2,5,7}:{(54,1),(55,1),(105,1),(107,1)}
        80:{1,4,6,7}:{(55,1),(58,1),(107,1),(110,1),(162,1)}
        81:{2,4,7}:{(56,1),(57,1),(102,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(103,1),(107,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(208,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(105,1),(112,1),(113,1),(117,1),(161,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(107,1),(113,1),(114,1),(115,1),(171,1),(219,1),(238,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(123,1),(167,1),(169,1),(172,1),(173,1),(208,1),(218,1),(237,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(71,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(72,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(124,1),(174,1),(214,1),(236,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(73,1),(120,1),(123,1),(124,1),(179,1),(220,1)}
        96:{1,2,4,7}:{(69,1),(70,1),(74,1),(123,1),(124,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(125,1),(240,1)}
        98:{1,2,4,5}:{(72,1),(74,1),(125,1),(126,1),(181,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(181,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(129,1),(182,1),(200,1),(223,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(81,1),(129,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(82,1),(131,1),(132,1),(134,1),(182,1),(185,1),(186,1)}
       104:{1,3,4,6}:{(77,1),(78,1),(84,1),(133,1),(141,1),(186,1),(194,1)}
       105:{2,5,6}:{(77,1),(79,1),(133,1),(134,1),(243,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(81,1),(129,1),(133,1),(135,1),(136,1),(189,1),(230,1),(243,1)}
       107:{1,5,7}:{(79,1),(80,1),(134,1)}
       108:{1,2,4,6,7}:{(80,1),(83,1),(88,1),(137,1),(138,1),(140,1),(151,1),(187,1),(191,1),(197,1),(232,1)}
       109:{2,3,4,7}:{(81,1),(130,1),(135,1),(139,1),(193,1),(196,1),(230,1)}
       110:{1,4,7}:{(81,1),(82,1),(131,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(132,1),(140,1),(189,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(134,1),(141,1),(142,1),(145,1),(186,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(191,1),(200,1),(228,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(138,1),(144,1),(152,1),(193,1),(194,1),(198,1),(226,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(225,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,4,7}:{(95,1),(99,1),(148,1),(152,1)}
       124:{1,3,7}:{(96,1),(100,1),(152,1)}
       125:{2,5}:{(97,1),(99,1)}
       126:{1,3,5}:{(98,1),(100,1),(154,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(153,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(154,1),(156,1)}
       129:{2,4,5}:{(101,1),(102,1),(157,1),(158,1),(204,1),(235,1)}
       130:{2,3,4,6}:{(102,1),(109,1),(157,1),(159,1),(161,1),(207,1),(215,1),(235,1),(237,1)}
       131:{1,4,6}:{(102,1),(103,1),(110,1),(158,1)}
       132:{1,2,5,6}:{(103,1),(111,1),(160,1),(204,1),(208,1)}
       133:{2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(208,1)}
       134:{1,5,6}:{(105,1),(107,1),(162,1),(244,1)}
       135:{2,3,5,7}:{(106,1),(109,1),(157,1),(161,1),(164,1),(171,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(158,1),(162,1),(164,1),(239,1),(244,1)}
       137:{1,2,5,7}:{(107,1),(108,1),(115,1),(163,1),(166,1),(240,1)}
       138:{1,3,6,7}:{(108,1),(116,1),(166,1),(168,1),(179,1),(209,1),(217,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(159,1),(164,1),(167,1),(168,1),(214,1),(239,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(160,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(208,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(166,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(236,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(127,1),(176,1),(179,1),(220,1)}
       152:{2,3,7}:{(123,1),(124,1),(128,1),(179,1)}
       153:{1,2,5}:{(125,1),(127,1),(180,1),(240,1)}
       154:{2,3,5}:{(125,1),(126,1),(128,1),(180,1),(181,1)}
       155:{1,3,4}:{(126,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(180,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,4,5}:{(129,1),(131,1),(182,1),(241,1)}
       159:{1,3,4,6}:{(130,1),(131,1),(139,1),(182,1),(184,1),(185,1),(186,1),(223,1),(224,1),(241,1),(242,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(140,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(186,1),(194,1)}
       162:{1,4,6}:{(133,1),(134,1),(136,1),(186,1)}
       163:{1,2,5,6}:{(134,1),(137,1),(142,1),(187,1),(188,1),(197,1),(243,1)}
       164:{1,3,5,7}:{(135,1),(136,1),(139,1),(182,1),(186,1),(189,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(140,1),(143,1),(183,1),(187,1),(189,1),(190,1),(191,1),(228,1),(230,1),(243,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(144,1),(188,1),(191,1)}
       167:{2,4,7}:{(139,1),(184,1),(189,1),(193,1)}
       168:{1,3,7}:{(140,1),(185,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(188,1),(194,1),(195,1),(198,1),(226,1),(231,1),(233,1),(243,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(191,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(153,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(154,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(155,1),(196,1),(199,1),(202,1)}
       179:{1,3,7}:{(151,1),(152,1),(156,1)}
       180:{1,3,5}:{(153,1),(154,1),(156,1),(203,1)}
       181:{2,4}:{(154,1),(155,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(204,1),(244,1)}
       183:{1,2,4,5}:{(158,1),(160,1),(204,1),(205,1),(235,1)}
       184:{2,4,6}:{(159,1),(167,1),(204,1),(207,1),(208,1),(235,1)}
       185:{1,3,6}:{(160,1),(168,1),(205,1),(207,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(208,1)}
       187:{1,2,4,6}:{(162,1),(163,1),(165,1),(169,1),(208,1),(209,1),(210,1),(237,1)}
       188:{1,3,5,6}:{(163,1),(166,1),(170,1),(209,1),(210,1),(217,1),(238,1),(240,1)}
       189:{2,5,7}:{(164,1),(167,1),(204,1),(208,1)}
       190:{1,3,5,7}:{(165,1),(168,1),(171,1),(205,1),(209,1),(212,1),(213,1),(238,1)}
       191:{1,4,7}:{(166,1),(172,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(206,1),(211,1),(214,1),(239,1)}
       193:{2,3,7}:{(167,1),(168,1),(207,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(210,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(180,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(181,1),(218,1),(220,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{2,5}:{(182,1),(184,1)}
       205:{1,3,5}:{(183,1),(185,1),(222,1),(223,1)}
       206:{1,2,4,6}:{(184,1),(192,1),(221,1),(224,1),(225,1),(241,1),(242,1)}
       207:{2,3,6}:{(184,1),(185,1),(193,1),(222,1),(224,1)}
       208:{2,6}:{(186,1),(189,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(226,1)}
       210:{1,4,6}:{(188,1),(191,1),(195,1),(228,1)}
       211:{1,2,5,7}:{(189,1),(192,1),(221,1),(225,1),(229,1)}
       212:{2,3,5,7}:{(189,1),(190,1),(193,1),(222,1),(226,1),(229,1),(230,1),(243,1)}
       213:{1,3,4,7}:{(190,1),(191,1),(196,1),(223,1),(227,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(224,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(228,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,5}:{(204,1),(206,1),(234,1),(244,1)}
       222:{2,3,5}:{(204,1),(205,1),(207,1),(234,1),(235,1)}
       223:{1,3,4}:{(205,1),(235,1)}
       224:{1,3,6}:{(206,1),(207,1),(214,1),(234,1)}
       225:{1,2,6}:{(208,1),(211,1),(236,1)}
       226:{2,3,6}:{(208,1),(209,1),(212,1),(236,1),(237,1)}
       227:{1,3,4,6}:{(209,1),(210,1),(213,1),(215,1),(237,1),(238,1)}
       228:{1,4,5}:{(210,1),(216,1),(238,1),(240,1)}
       229:{1,3,5,7}:{(211,1),(212,1),(214,1),(234,1),(236,1),(239,1),(244,1)}
       230:{2,4,7}:{(212,1),(213,1),(235,1),(237,1),(239,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(224,1),(241,1)}
       235:{2,4}:{(222,1),(223,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(229,1),(242,1)}
       237:{2,4,6}:{(226,1),(227,1),(230,1),(242,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(231,1),(243,1)}
       239:{1,4,7}:{(229,1),(230,1),(241,1),(242,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(239,1),(244,1)}
       243:{2,5}:{(237,1),(238,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1402 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(92,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(69,1),(110,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(28,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(67,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(30,1),(31,1),(35,1),(66,1)}
         5:{1,3,4,6}:{(1,1),(4,1),(11,1),(12,1),(13,1),(17,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
         6:{1,2,5}:{(1,1),(12,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(13,1),(16,1),(126,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{2,3,5}:{(4,1),(12,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(51,1),(90,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(30,1),(55,1),(59,1),(66,1)}
        12:{1,3,5}:{(5,1),(6,1),(9,1),(21,1),(24,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(10,1),(22,1),(25,1),(62,1),(67,1),(111,1)}
        14:{1,2,5,6}:{(6,1),(23,1),(26,1),(27,1),(29,1),(104,1),(110,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(26,1),(28,1),(64,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(25,1),(29,1)}
        17:{1,3,4}:{(8,1),(28,1),(30,1)}
        18:{2,3,5,6}:{(9,1),(23,1),(31,1),(32,1),(35,1),(66,1),(70,1),(75,1),(104,1)}
        19:{2,4,5}:{(9,1),(24,1),(31,1),(33,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(34,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(37,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(78,1),(90,1)}
        23:{1,3,5,6}:{(12,1),(14,1),(18,1),(36,1),(39,1),(40,1),(43,1),(44,1),(88,1),(89,1),(121,1)}
        24:{1,4,5}:{(12,1),(19,1),(37,1),(39,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(44,1),(45,1),(84,1)}
        27:{1,2,5,7}:{(14,1),(40,1),(45,1),(46,1),(122,1),(126,1)}
        28:{1,3,5}:{(15,1),(17,1),(44,1),(47,1)}
        29:{1,2,6}:{(16,1),(43,1)}
        30:{2,3,4}:{(17,1),(47,1),(48,1)}
        31:{2,4,6}:{(18,1),(19,1),(39,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(18,1),(40,1),(51,1),(52,1),(90,1),(93,1),(96,1),(122,1)}
        33:{3,4,5}:{(19,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(42,1),(51,1),(53,1),(54,1),(96,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,3,5,6}:{(21,1),(23,1),(55,1),(56,1),(59,1),(66,1),(98,1),(103,1),(104,1)}
        37:{2,4,5}:{(21,1),(24,1),(55,1),(57,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(59,1)}
        39:{1,4,6}:{(23,1),(24,1),(31,1),(55,1),(62,1)}
        40:{1,3,5,7}:{(23,1),(27,1),(32,1),(56,1),(62,1),(63,1),(67,1),(109,1),(111,1),(133,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(33,1),(57,1),(61,1),(64,1)}
        42:{1,4,5,7}:{(24,1),(25,1),(34,1),(58,1),(62,1),(65,1),(109,1)}
        43:{1,3,6}:{(25,1),(29,1),(35,1),(59,1),(65,1)}
        44:{1,3,6}:{(26,1),(28,1),(66,1),(67,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(62,1),(67,1),(108,1)}
        46:{1,2,6,7}:{(27,1),(29,1),(63,1),(134,1)}
        47:{2,3,5}:{(28,1),(30,1),(64,1),(66,1),(68,1)}
        48:{1,3,4}:{(30,1),(68,1),(69,1)}
        49:{2,4,5,6}:{(31,1),(60,1),(70,1),(71,1),(75,1),(104,1),(115,1)}
        50:{3,4,6}:{(31,1),(33,1),(70,1),(72,1)}
        51:{2,4,7}:{(31,1),(32,1),(62,1),(72,1)}
        52:{2,3,6,7}:{(32,1),(35,1),(63,1),(73,1),(112,1),(134,1)}
        53:{3,4,5,7}:{(33,1),(34,1),(72,1),(74,1),(114,1)}
        54:{2,4,6}:{(34,1),(35,1),(65,1),(74,1),(75,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(77,1),(78,1)}
        56:{2,3,5,7}:{(36,1),(40,1),(78,1),(79,1),(90,1),(116,1),(119,1),(122,1)}
        57:{3,4,5}:{(37,1),(77,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(78,1),(80,1),(81,1),(119,1)}
        59:{2,3,6}:{(38,1),(43,1),(81,1)}
        60:{1,4,5,6}:{(39,1),(49,1),(76,1),(82,1),(83,1),(88,1),(121,1)}
        61:{1,3,4,6}:{(39,1),(41,1),(44,1),(50,1),(77,1),(82,1),(84,1),(85,1)}
        62:{1,4,7}:{(39,1),(40,1),(51,1),(78,1)}
        63:{1,3,6,7}:{(40,1),(43,1),(46,1),(52,1),(79,1),(86,1),(138,1)}
        64:{2,4,5}:{(41,1),(47,1),(84,1),(87,1)}
        65:{1,4,6}:{(42,1),(43,1),(54,1),(81,1),(88,1)}
        66:{2,3,6}:{(44,1),(47,1),(84,1),(89,1),(90,1)}
        67:{1,3,7}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(47,1),(48,1),(87,1),(89,1),(91,1)}
        69:{1,2,4}:{(48,1),(91,1),(92,1)}
        70:{3,5,6}:{(49,1),(50,1),(93,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(93,1),(94,1),(96,1),(122,1),(128,1)}
        72:{3,4,7}:{(50,1),(51,1),(93,1)}
        73:{2,4,6,7}:{(51,1),(52,1),(54,1),(86,1),(95,1),(96,1)}
        74:{3,4,6}:{(53,1),(54,1),(97,1)}
        75:{2,5,6}:{(54,1),(88,1),(96,1),(97,1)}
        76:{2,4,5,6}:{(55,1),(60,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        77:{3,4,6}:{(55,1),(57,1),(98,1),(100,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1),(100,1)}
        79:{2,3,6,7}:{(56,1),(59,1),(63,1),(101,1),(129,1),(134,1)}
        80:{3,4,5,7}:{(57,1),(58,1),(100,1),(102,1),(131,1)}
        81:{2,4,6}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        82:{1,3,5,6}:{(60,1),(61,1),(70,1),(98,1),(104,1),(105,1)}
        83:{1,4,5,7}:{(60,1),(62,1),(71,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        84:{2,4,6}:{(61,1),(64,1),(66,1),(104,1),(107,1),(108,1)}
        85:{1,3,4,7}:{(61,1),(62,1),(67,1),(72,1),(100,1),(105,1),(108,1)}
        86:{1,4,6,7}:{(62,1),(63,1),(65,1),(73,1),(101,1),(109,1)}
        87:{1,4,5}:{(64,1),(68,1),(107,1)}
        88:{1,5,6}:{(65,1),(75,1),(103,1),(109,1)}
        89:{1,3,6}:{(66,1),(68,1),(107,1),(110,1),(111,1)}
        90:{2,3,7}:{(66,1),(67,1),(108,1),(111,1)}
        91:{1,2,5}:{(68,1),(69,1),(110,1)}
        92:{1,2,3}:{(69,1)}
        93:{3,5,7}:{(70,1),(71,1),(72,1),(112,1)}
        94:{2,4,6,7}:{(71,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(72,1),(73,1),(74,1),(112,1),(114,1),(135,1)}
        96:{2,5,7}:{(73,1),(75,1),(109,1),(114,1)}
        97:{3,5,6}:{(74,1),(75,1),(114,1),(115,1)}
        98:{3,5,6}:{(76,1),(77,1),(116,1)}
        99:{2,4,5,7}:{(76,1),(78,1),(83,1),(116,1),(117,1),(119,1),(122,1),(137,1)}
       100:{3,4,7}:{(77,1),(78,1),(116,1)}
       101:{2,4,6,7}:{(78,1),(79,1),(81,1),(86,1),(118,1),(119,1)}
       102:{3,4,6}:{(80,1),(81,1),(120,1)}
       103:{2,5,6}:{(81,1),(88,1),(119,1),(120,1)}
       104:{2,5,6}:{(82,1),(84,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(83,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(84,1),(87,1),(89,1),(121,1),(125,1)}
       108:{2,4,7}:{(84,1),(85,1),(90,1),(122,1),(125,1)}
       109:{1,5,7}:{(86,1),(88,1),(96,1),(119,1)}
       110:{1,2,6}:{(89,1),(91,1),(126,1)}
       111:{1,3,7}:{(89,1),(90,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(96,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{2,5,7}:{(101,1),(103,1),(109,1),(131,1)}
       120:{3,5,6}:{(102,1),(103,1),(131,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(119,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1403 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1404 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1405 :   0:{1,2,5,6,7}:{(2,1),(3,1),(42,1),(44,1),(84,1),(85,1),(89,1),(114,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(42,1),(47,1),(114,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(26,1),(28,1),(63,1),(67,1),(93,1),(107,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(103,1),(108,1),(131,1),(141,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(42,1),(72,1),(89,1),(90,1),(128,1)}
         6:{1,2,4,5,7}:{(3,1),(12,1),(13,1),(14,1),(39,1),(42,1),(82,1),(85,1),(88,1),(113,1),(120,1),(122,1),(127,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(11,1),(14,1),(87,1),(112,1),(127,1)}
         8:{1,3,6,7}:{(3,1),(13,1),(16,1),(121,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(14,1),(17,1),(18,1),(42,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(149,1)}
        11:{2,4,6,7}:{(5,1),(7,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,2,4,5,6}:{(6,1),(22,1),(25,1),(55,1),(62,1),(98,1),(103,1),(106,1),(108,1),(131,1),(135,1),(136,1),(141,1),(145,1),(147,1),(163,1),(174,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(109,1),(132,1),(140,1)}
        14:{1,4,5,7}:{(7,1),(9,1),(20,1),(25,1),(26,1),(63,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(21,1),(23,1),(26,1),(27,1),(58,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(100,1),(141,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(30,1),(62,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(30,1)}
        19:{2,3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(57,1),(65,1),(95,1),(100,1),(134,1),(162,1),(168,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(33,1),(34,1),(42,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(129,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(36,1),(37,1),(116,1),(121,1),(128,1),(148,1),(152,1),(161,1),(170,1)}
        23:{1,3,4,7}:{(13,1),(36,1),(39,1),(127,1),(129,1),(149,1)}
        24:{2,3,5,7}:{(13,1),(16,1),(37,1),(39,1),(40,1),(42,1),(122,1),(123,1)}
        25:{1,4,5,6}:{(14,1),(17,1),(33,1),(41,1),(84,1),(87,1),(112,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(18,1),(34,1),(41,1),(42,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(39,1),(42,1),(43,1),(81,1)}
        28:{1,3,6,7}:{(16,1),(40,1),(43,1),(44,1),(121,1)}
        29:{3,4,5,7}:{(18,1),(45,1),(46,1),(149,1),(170,1)}
        30:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(42,1),(46,1),(47,1),(48,1),(170,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(43,1),(48,1),(49,1),(80,1),(86,1),(87,1),(121,1),(127,1),(128,1),(129,1),(159,1),(172,1)}
        33:{2,4,5,6}:{(20,1),(25,1),(51,1),(62,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(51,1)}
        35:{2,3,4,6,7}:{(21,1),(27,1),(52,1),(53,1),(57,1),(69,1),(91,1),(100,1),(111,1),(146,1),(168,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(54,1),(55,1),(145,1),(146,1),(162,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(55,1),(56,1),(62,1),(96,1),(100,1),(136,1),(137,1),(141,1)}
        38:{1,3,4,5,7}:{(23,1),(26,1),(29,1),(50,1),(54,1),(58,1),(59,1),(66,1),(92,1),(101,1),(109,1),(132,1),(144,1),(169,1)}
        39:{2,4,7}:{(23,1),(24,1),(55,1),(60,1)}
        40:{1,3,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(63,1),(105,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(30,1),(51,1),(58,1),(62,1),(169,1)}
        42:{2,5,7}:{(26,1),(27,1),(62,1),(63,1)}
        43:{1,4,6,7}:{(27,1),(28,1),(60,1),(63,1),(103,1)}
        44:{1,2,6,7}:{(28,1),(61,1),(141,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,4,5,7}:{(29,1),(31,1),(65,1),(66,1),(134,1),(163,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(62,1),(65,1),(67,1),(100,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(63,1),(66,1),(67,1),(68,1),(109,1),(169,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(102,1),(108,1),(111,1),(141,1),(168,1)}
        50:{3,4,5,7}:{(34,1),(70,1),(71,1),(129,1),(161,1)}
        51:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(42,1),(71,1),(72,1),(73,1),(161,1),(173,1)}
        53:{1,3,4,6,7}:{(35,1),(43,1),(73,1),(74,1),(80,1),(86,1),(112,1),(121,1),(127,1),(148,1),(149,1),(159,1),(172,1)}
        54:{1,3,4,5}:{(36,1),(76,1),(116,1),(154,1),(160,1),(161,1),(170,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(76,1),(77,1)}
        56:{1,3,5,6}:{(37,1),(40,1),(77,1),(78,1),(84,1),(116,1),(119,1),(121,1)}
        57:{2,3,4,7}:{(39,1),(75,1),(79,1),(80,1),(123,1),(129,1),(149,1),(158,1)}
        58:{1,3,4,6}:{(38,1),(41,1),(45,1),(70,1),(81,1),(87,1),(112,1),(121,1),(128,1),(148,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(42,1),(76,1),(79,1),(81,1),(82,1),(122,1),(158,1),(173,1)}
        60:{1,4,7}:{(39,1),(40,1),(77,1)}
        61:{1,2,5,7}:{(40,1),(44,1),(78,1),(83,1),(122,1)}
        62:{2,5,6}:{(41,1),(42,1),(81,1),(84,1),(173,1)}
        63:{1,5,7}:{(42,1),(43,1),(84,1)}
        64:{1,2,4,6,7}:{(43,1),(44,1),(49,1),(74,1),(83,1),(85,1),(86,1),(120,1),(124,1),(127,1),(155,1),(172,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,4,5,7}:{(46,1),(48,1),(87,1),(88,1),(127,1),(160,1)}
        67:{1,3,5,6}:{(47,1),(48,1),(84,1),(87,1),(89,1),(121,1),(128,1)}
        68:{2,5,7}:{(48,1),(49,1),(89,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(86,1),(90,1),(123,1),(128,1),(157,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,4,5,7}:{(50,1),(52,1),(91,1),(92,1),(111,1),(147,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(93,1),(100,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(63,1),(92,1),(93,1),(94,1),(132,1),(169,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(102,1),(131,1),(134,1),(141,1),(168,1)}
        75:{2,3,4,6}:{(55,1),(57,1),(96,1),(97,1),(100,1),(137,1),(146,1),(162,1),(165,1),(168,1)}
        76:{2,4,5}:{(54,1),(55,1),(96,1),(98,1),(136,1),(165,1)}
        77:{1,4,6}:{(55,1),(56,1),(60,1),(98,1)}
        78:{1,2,5,6}:{(56,1),(61,1),(99,1),(136,1),(141,1)}
        79:{2,3,5,7}:{(57,1),(59,1),(96,1),(100,1),(101,1),(109,1),(132,1)}
        80:{1,3,4,7}:{(57,1),(60,1),(97,1),(101,1),(102,1),(105,1),(140,1),(167,1)}
        81:{2,4,6}:{(58,1),(59,1),(62,1),(100,1),(103,1),(141,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(98,1),(101,1),(103,1),(167,1),(174,1)}
        83:{1,2,4,7}:{(60,1),(61,1),(99,1),(102,1),(105,1)}
        84:{1,5,6}:{(62,1),(63,1),(103,1),(174,1)}
        85:{1,2,5,7}:{(63,1),(64,1),(68,1),(94,1),(106,1),(107,1),(174,1)}
        86:{1,3,6,7}:{(64,1),(69,1),(95,1),(105,1),(107,1),(140,1),(143,1),(166,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,4,5,7}:{(66,1),(68,1),(108,1),(109,1),(111,1),(147,1)}
        89:{2,5,6}:{(67,1),(68,1),(108,1),(141,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,4,5,7}:{(71,1),(73,1),(112,1),(113,1),(127,1),(160,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(84,1),(112,1),(114,1),(121,1),(148,1)}
        94:{2,5,7}:{(73,1),(74,1),(114,1),(173,1)}
        95:{2,3,6,7}:{(74,1),(86,1),(115,1),(123,1),(148,1),(157,1)}
        96:{2,3,5}:{(75,1),(76,1),(116,1),(161,1),(170,1),(173,1)}
        97:{1,3,4,6}:{(75,1),(77,1),(80,1),(116,1),(117,1),(119,1),(121,1),(152,1),(154,1),(171,1),(172,1)}
        98:{1,4,5}:{(76,1),(77,1),(116,1),(171,1)}
        99:{1,2,4,6}:{(77,1),(78,1),(83,1),(117,1),(118,1),(119,1)}
       100:{2,3,6}:{(79,1),(81,1),(121,1),(128,1),(148,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(82,1),(116,1),(121,1),(122,1)}
       102:{2,4,7}:{(80,1),(117,1),(122,1),(123,1)}
       103:{1,4,6}:{(81,1),(82,1),(84,1),(121,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(88,1),(113,1),(118,1),(122,1),(124,1),(125,1),(127,1),(158,1),(160,1),(173,1)}
       105:{1,3,7}:{(83,1),(119,1),(123,1)}
       106:{1,2,5,6}:{(84,1),(85,1),(89,1),(114,1),(124,1),(126,1),(155,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(90,1),(115,1),(126,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{3,5,7}:{(88,1),(128,1),(129,1),(161,1)}
       110:{2,3,5,6}:{(89,1),(90,1),(126,1),(128,1),(130,1),(157,1),(161,1),(173,1)}
       111:{2,4,7}:{(90,1),(127,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,4,5,7}:{(92,1),(94,1),(131,1),(132,1),(134,1),(163,1)}
       114:{2,5,6}:{(93,1),(94,1),(131,1),(141,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(107,1),(132,1),(133,1),(134,1)}
       116:{1,3,5}:{(96,1),(97,1),(98,1),(136,1),(174,1)}
       117:{2,4,6}:{(97,1),(102,1),(136,1),(137,1),(141,1),(165,1)}
       118:{1,2,4,5}:{(98,1),(99,1),(136,1),(138,1),(165,1)}
       119:{1,3,6}:{(99,1),(105,1),(137,1),(138,1)}
       120:{1,2,4,7}:{(102,1),(135,1),(139,1),(140,1),(167,1)}
       121:{1,3,6}:{(100,1),(101,1),(103,1),(141,1)}
       122:{2,5,7}:{(101,1),(102,1),(136,1),(141,1)}
       123:{2,3,7}:{(102,1),(105,1),(137,1),(140,1)}
       124:{1,2,4,6}:{(103,1),(104,1),(106,1),(108,1),(131,1),(141,1),(143,1),(145,1),(168,1)}
       125:{1,3,5,7}:{(104,1),(105,1),(109,1),(132,1),(138,1),(142,1),(143,1),(144,1),(169,1)}
       126:{1,3,5,6}:{(106,1),(107,1),(110,1),(133,1),(143,1),(145,1),(166,1),(169,1),(174,1)}
       127:{1,4,7}:{(107,1),(111,1),(134,1),(145,1)}
       128:{3,6}:{(108,1),(109,1)}
       129:{3,4,7}:{(109,1),(111,1),(146,1)}
       130:{2,4,6}:{(110,1),(111,1),(145,1),(146,1),(147,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{3,5,7}:{(113,1),(148,1),(149,1),(170,1)}
       133:{2,3,5,6}:{(114,1),(115,1),(126,1),(148,1),(150,1),(157,1),(170,1),(173,1)}
       134:{2,4,7}:{(115,1),(127,1),(149,1),(150,1)}
       135:{1,2,4,6}:{(117,1),(120,1),(151,1),(152,1),(155,1),(171,1),(172,1)}
       136:{2,5}:{(116,1),(117,1)}
       137:{2,3,6}:{(117,1),(119,1),(123,1),(152,1),(153,1)}
       138:{1,3,5}:{(118,1),(119,1),(153,1),(154,1)}
       139:{1,2,5,7}:{(120,1),(122,1),(151,1),(155,1),(156,1)}
       140:{1,3,7}:{(120,1),(123,1),(152,1)}
       141:{2,6}:{(121,1),(122,1)}
       142:{2,3,5,7}:{(122,1),(123,1),(125,1),(153,1),(156,1),(157,1),(158,1),(173,1)}
       143:{1,3,6}:{(124,1),(125,1),(128,1),(148,1),(157,1)}
       144:{1,3,4,7}:{(125,1),(127,1),(129,1),(149,1),(154,1),(158,1),(159,1)}
       145:{1,4,6}:{(126,1),(127,1),(130,1),(150,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(130,1),(160,1),(161,1),(173,1)}
       148:{3,6}:{(131,1),(132,1)}
       149:{3,4,7}:{(132,1),(134,1),(162,1)}
       150:{2,4,6}:{(133,1),(134,1),(145,1),(162,1),(163,1)}
       151:{1,2,5}:{(135,1),(136,1),(164,1),(174,1)}
       152:{1,3,6}:{(135,1),(137,1),(140,1),(164,1)}
       153:{2,3,5}:{(136,1),(137,1),(138,1),(164,1),(165,1)}
       154:{1,3,4}:{(138,1),(165,1)}
       155:{1,2,6}:{(139,1),(141,1),(166,1)}
       156:{1,3,5,7}:{(139,1),(140,1),(142,1),(164,1),(166,1),(167,1),(174,1)}
       157:{2,3,6}:{(141,1),(142,1),(143,1),(166,1),(168,1)}
       158:{2,4,7}:{(142,1),(144,1),(165,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(143,1),(144,1),(145,1),(146,1),(162,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(147,1),(163,1),(169,1),(174,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(150,1),(160,1),(170,1),(173,1)}
       164:{1,3,5}:{(151,1),(152,1),(153,1),(171,1)}
       165:{2,4}:{(153,1),(154,1),(171,1)}
       166:{1,3,6}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,4,7}:{(156,1),(158,1),(171,1),(172,1)}
       168:{2,4,6}:{(157,1),(158,1),(159,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(161,1),(170,1),(173,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(168,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1406 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(20,1),(23,1),(62,1),(139,1),(152,1),(153,1),(155,1),(156,1),(217,1),(226,1),(228,1)}
         1:{1,2,4,5,7}:{(5,1),(6,1),(9,1),(29,1),(32,1),(35,1),(42,1),(86,1),(97,1),(99,1),(100,1),(103,1),(181,1),(183,1),(192,1),(194,1),(235,1),(237,1),(247,1),(290,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(42,1),(47,1),(99,1),(110,1),(113,1),(192,1),(194,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(43,1),(115,1),(116,1),(179,1),(196,1),(245,1)}
         4:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(52,1),(55,1),(62,1),(139,1),(203,1),(204,1),(206,1),(207,1),(217,1),(262,1),(264,1)}
         5:{1,3,5,7}:{(1,1),(14,1),(16,1),(17,1),(62,1),(140,1),(217,1),(218,1),(226,1),(228,1),(262,1),(264,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(18,1),(24,1),(56,1),(61,1),(68,1),(74,1),(127,1),(157,1),(208,1),(215,1),(302,1)}
         7:{2,3,5,7}:{(2,1),(19,1),(20,1),(21,1),(71,1),(217,1),(226,1),(228,1),(271,1)}
         8:{1,3,4,6,7}:{(3,1),(22,1),(23,1),(72,1),(78,1),(155,1),(156,1),(160,1),(228,1)}
         9:{1,4,5,7}:{(2,1),(20,1),(24,1),(60,1),(79,1),(142,1),(152,1),(155,1)}
        10:{2,4,6}:{(2,1),(3,1),(21,1),(24,1),(25,1),(74,1)}
        11:{1,3,5,6}:{(3,1),(23,1),(25,1),(26,1),(62,1),(82,1)}
        12:{2,4,5,7}:{(4,1),(27,1),(29,1),(30,1),(32,1),(86,1),(91,1),(99,1),(166,1),(169,1),(235,1),(237,1)}
        13:{1,3,4,6}:{(4,1),(30,1),(31,1),(87,1),(171,1),(172,1),(179,1),(239,1),(245,1)}
        14:{1,3,4,7}:{(5,1),(32,1),(33,1),(103,1),(188,1),(247,1),(254,1),(282,1)}
        15:{1,2,4,6,7}:{(6,1),(34,1),(35,1),(46,1),(90,1),(95,1),(103,1),(111,1),(167,1),(194,1),(237,1)}
        16:{2,3,5,7}:{(5,1),(32,1),(36,1),(37,1),(42,1),(86,1),(99,1),(107,1),(163,1),(191,1),(234,1)}
        17:{1,3,6}:{(5,1),(6,1),(37,1),(196,1),(239,1),(245,1)}
        18:{1,2,5,6}:{(6,1),(35,1),(38,1),(49,1),(93,1),(99,1),(114,1),(170,1),(178,1),(183,1),(294,1)}
        19:{2,3,4,7}:{(7,1),(32,1),(39,1),(40,1),(113,1),(163,1),(188,1),(251,1),(254,1),(257,1)}
        20:{1,3,5,7}:{(7,1),(9,1),(39,1),(42,1),(43,1),(109,1),(290,1)}
        21:{2,3,6}:{(7,1),(10,1),(43,1),(196,1),(245,1),(289,1)}
        22:{2,4,6,7}:{(8,1),(10,1),(41,1),(46,1),(47,1),(111,1),(113,1),(194,1)}
        23:{1,3,5,7}:{(8,1),(11,1),(47,1),(48,1),(120,1)}
        24:{1,4,6}:{(9,1),(10,1),(43,1),(49,1)}
        25:{2,5,6}:{(10,1),(11,1),(47,1),(49,1),(99,1)}
        26:{1,4,5,6}:{(11,1),(48,1),(50,1),(100,1),(115,1),(179,1),(200,1)}
        27:{2,3,5,7}:{(12,1),(51,1),(52,1),(53,1),(124,1),(217,1),(262,1),(264,1),(271,1)}
        28:{1,3,4,6,7}:{(13,1),(54,1),(55,1),(125,1),(131,1),(206,1),(207,1),(211,1),(264,1)}
        29:{1,4,5,7}:{(12,1),(52,1),(56,1),(60,1),(132,1),(142,1),(203,1),(206,1)}
        30:{2,4,6}:{(12,1),(13,1),(53,1),(56,1),(57,1),(127,1)}
        31:{1,3,5,6}:{(13,1),(55,1),(57,1),(58,1),(62,1),(135,1)}
        32:{2,4,7}:{(14,1),(16,1),(60,1),(61,1),(225,1),(261,1)}
        33:{1,3,4,6}:{(14,1),(17,1),(61,1),(62,1),(68,1),(149,1)}
        34:{1,3,6,7}:{(15,1),(17,1),(63,1),(64,1),(228,1),(264,1),(302,1)}
        35:{1,2,5,7}:{(15,1),(18,1),(64,1),(79,1),(132,1),(138,1),(154,1),(205,1),(305,1)}
        36:{1,3,5,7}:{(16,1),(60,1),(65,1),(66,1),(140,1),(142,1),(218,1)}
        37:{2,3,6}:{(16,1),(17,1),(61,1),(66,1),(74,1),(127,1)}
        38:{1,3,5,6}:{(17,1),(18,1),(62,1),(64,1),(67,1),(68,1),(218,1),(274,1),(277,1),(302,1)}
        39:{1,3,4,7}:{(19,1),(20,1),(60,1),(69,1),(70,1),(140,1),(155,1),(228,1),(276,1),(280,1)}
        40:{2,3,4,6}:{(19,1),(21,1),(61,1),(70,1),(71,1),(76,1),(149,1),(201,1),(224,1),(230,1),(261,1),(278,1)}
        41:{2,3,6,7}:{(21,1),(22,1),(72,1),(73,1),(160,1),(228,1),(232,1)}
        42:{2,5,7}:{(20,1),(69,1),(74,1),(151,1)}
        43:{1,3,6}:{(20,1),(21,1),(24,1),(74,1),(302,1)}
        44:{2,3,5,6}:{(21,1),(25,1),(71,1),(73,1),(75,1),(76,1),(82,1),(162,1),(230,1)}
        45:{1,3,5,6,7}:{(23,1),(77,1),(78,1),(136,1),(160,1)}
        46:{1,4,6,7}:{(22,1),(24,1),(72,1),(79,1),(155,1)}
        47:{2,5,7}:{(22,1),(23,1),(25,1),(79,1)}
        48:{1,4,5,7}:{(23,1),(26,1),(78,1),(80,1),(155,1),(233,1)}
        49:{1,5,6}:{(24,1),(25,1),(79,1),(142,1)}
        50:{2,4,5,6}:{(25,1),(26,1),(76,1),(80,1),(81,1),(82,1),(143,1),(157,1),(162,1),(215,1)}
        51:{2,3,4,7}:{(27,1),(32,1),(83,1),(84,1),(107,1),(169,1),(188,1),(251,1),(282,1),(285,1)}
        52:{1,3,5,7}:{(27,1),(29,1),(83,1),(86,1),(87,1),(165,1),(290,1)}
        53:{2,3,6}:{(27,1),(30,1),(87,1),(239,1),(245,1),(289,1)}
        54:{2,4,6,7}:{(28,1),(30,1),(85,1),(90,1),(91,1),(167,1),(169,1),(237,1)}
        55:{1,3,5,7}:{(28,1),(31,1),(91,1),(92,1),(176,1)}
        56:{1,4,6}:{(29,1),(30,1),(87,1),(93,1)}
        57:{2,5,6}:{(30,1),(31,1),(91,1),(93,1),(99,1)}
        58:{1,4,5,6}:{(31,1),(92,1),(94,1),(100,1),(171,1),(179,1),(243,1)}
        59:{1,3,4,6,7}:{(33,1),(34,1),(95,1),(96,1),(103,1),(179,1),(188,1),(245,1)}
        60:{1,4,7}:{(32,1),(36,1),(98,1),(247,1)}
        61:{2,4,6}:{(32,1),(33,1),(37,1),(98,1),(99,1)}
        62:{1,3,5}:{(33,1),(99,1),(100,1),(185,1)}
        63:{2,3,6,7}:{(34,1),(37,1),(95,1),(101,1),(102,1),(111,1),(167,1),(245,1),(289,1)}
        64:{1,3,5,7}:{(34,1),(35,1),(38,1),(102,1),(103,1),(290,1),(293,1)}
        65:{1,2,5,7}:{(36,1),(42,1),(86,1),(97,1),(104,1),(183,1),(290,1)}
        66:{1,3,6}:{(36,1),(37,1),(98,1),(104,1)}
        67:{2,3,5,6}:{(37,1),(38,1),(99,1),(102,1),(105,1),(106,1),(114,1),(170,1),(178,1),(185,1),(191,1),(196,1),(234,1),(239,1),(245,1),(249,1),(252,1),(289,1)}
        68:{1,4,6}:{(38,1),(100,1),(103,1),(106,1),(247,1)}
        69:{2,4,7}:{(39,1),(42,1),(107,1),(108,1),(297,1)}
        70:{1,3,4,6}:{(39,1),(40,1),(43,1),(98,1),(108,1),(109,1),(115,1),(182,1),(196,1),(247,1),(253,1),(254,1),(259,1),(295,1)}
        71:{2,3,5}:{(40,1),(99,1),(109,1),(110,1),(185,1),(249,1)}
        72:{1,3,6,7}:{(41,1),(43,1),(46,1),(111,1),(112,1),(260,1)}
        73:{2,3,5,7}:{(41,1),(44,1),(47,1),(112,1),(113,1),(120,1),(199,1),(257,1)}
        74:{2,6}:{(42,1),(43,1)}
        75:{1,3,5,6}:{(43,1),(44,1),(49,1),(109,1),(112,1),(114,1),(115,1),(196,1),(200,1),(259,1)}
        76:{2,4,6}:{(44,1),(110,1),(113,1),(115,1),(116,1)}
        77:{2,5,6,7}:{(45,1),(47,1),(117,1),(118,1),(178,1)}
        78:{1,4,6,7}:{(45,1),(48,1),(118,1),(179,1),(260,1)}
        79:{1,5,7}:{(46,1),(47,1),(49,1)}
        80:{2,4,5,7}:{(47,1),(48,1),(50,1),(113,1),(118,1),(119,1),(120,1),(194,1),(199,1)}
        81:{1,4,5,6}:{(49,1),(50,1),(115,1),(119,1),(121,1),(184,1),(244,1)}
        82:{3,5,6}:{(50,1),(116,1),(120,1),(185,1),(196,1),(245,1)}
        83:{1,3,4,7}:{(51,1),(52,1),(60,1),(122,1),(123,1),(140,1),(206,1),(264,1),(276,1),(300,1)}
        84:{2,3,4,6}:{(51,1),(53,1),(61,1),(123,1),(124,1),(129,1),(149,1),(150,1),(224,1),(225,1),(266,1),(298,1)}
        85:{2,3,6,7}:{(53,1),(54,1),(125,1),(126,1),(211,1),(264,1),(268,1)}
        86:{2,5,7}:{(52,1),(122,1),(127,1),(202,1)}
        87:{1,3,6}:{(52,1),(53,1),(56,1),(127,1),(302,1)}
        88:{2,3,5,6}:{(53,1),(57,1),(124,1),(126,1),(128,1),(129,1),(135,1),(213,1),(266,1)}
        89:{1,3,5,6,7}:{(55,1),(130,1),(131,1),(136,1),(211,1)}
        90:{1,4,6,7}:{(54,1),(56,1),(125,1),(132,1),(206,1)}
        91:{2,5,7}:{(54,1),(55,1),(57,1),(132,1)}
        92:{1,4,5,7}:{(55,1),(58,1),(131,1),(133,1),(206,1),(269,1)}
        93:{1,5,6}:{(56,1),(57,1),(132,1),(142,1)}
        94:{2,4,5,6}:{(57,1),(58,1),(129,1),(133,1),(134,1),(135,1),(143,1),(208,1),(213,1),(215,1)}
        95:{2,4,6,7}:{(59,1),(61,1),(63,1),(137,1),(138,1),(146,1),(215,1)}
        96:{1,3,5,7}:{(59,1),(62,1),(136,1),(138,1),(139,1),(217,1)}
        97:{1,2,4,7}:{(60,1),(65,1),(69,1),(122,1),(140,1),(141,1),(276,1),(305,1)}
        98:{1,4,6}:{(60,1),(61,1),(66,1),(142,1)}
        99:{2,5}:{(61,1),(62,1),(142,1)}
       100:{1,4,5}:{(62,1),(68,1),(143,1),(274,1)}
       101:{1,3,6,7}:{(63,1),(66,1),(137,1),(144,1),(145,1),(270,1)}
       102:{2,3,5,7}:{(63,1),(64,1),(67,1),(138,1),(145,1),(146,1),(154,1),(205,1),(217,1),(228,1),(264,1),(271,1),(275,1)}
       103:{1,4,7}:{(64,1),(68,1),(146,1)}
       104:{1,2,6}:{(65,1),(66,1),(74,1),(127,1),(302,1)}
       105:{1,3,5,6}:{(66,1),(67,1),(142,1),(145,1),(147,1),(148,1),(214,1),(218,1),(220,1),(223,1),(270,1)}
       106:{2,4,6}:{(67,1),(68,1),(143,1),(146,1),(148,1),(149,1),(225,1),(261,1)}
       107:{2,3,7}:{(69,1),(140,1),(150,1),(228,1)}
       108:{2,4,6}:{(69,1),(70,1),(74,1),(150,1),(151,1),(225,1),(281,1),(306,1)}
       109:{1,3,5}:{(70,1),(71,1),(142,1),(151,1),(152,1),(226,1),(274,1)}
       110:{2,4,5}:{(71,1),(76,1),(152,1),(153,1),(261,1)}
       111:{2,6,7}:{(72,1),(74,1),(154,1)}
       112:{1,3,5,7}:{(72,1),(73,1),(75,1),(79,1),(154,1),(155,1),(228,1),(233,1),(280,1)}
       113:{2,4,7}:{(73,1),(76,1),(155,1),(156,1)}
       114:{2,5,6}:{(74,1),(75,1),(151,1),(154,1),(157,1),(281,1)}
       115:{1,4,6}:{(75,1),(76,1),(152,1),(155,1),(157,1)}
       116:{3,4,6}:{(76,1),(82,1),(153,1),(156,1)}
       117:{1,5,6,7}:{(77,1),(79,1),(159,1),(214,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(80,1),(159,1),(160,1),(215,1),(232,1)}
       119:{1,4,5,7}:{(79,1),(80,1),(81,1),(155,1),(159,1),(161,1)}
       120:{3,5,7}:{(80,1),(82,1),(156,1),(160,1),(228,1)}
       121:{1,3,5,6}:{(81,1),(82,1),(158,1),(161,1),(162,1),(220,1),(270,1)}
       122:{2,4,7}:{(83,1),(86,1),(163,1),(164,1),(309,1)}
       123:{1,3,4,6}:{(83,1),(84,1),(87,1),(98,1),(164,1),(165,1),(171,1),(182,1),(239,1),(247,1),(253,1),(282,1),(287,1),(307,1)}
       124:{2,3,5}:{(84,1),(99,1),(165,1),(166,1),(185,1),(249,1)}
       125:{1,3,6,7}:{(85,1),(87,1),(90,1),(167,1),(168,1),(288,1)}
       126:{2,3,5,7}:{(85,1),(88,1),(91,1),(168,1),(169,1),(176,1),(242,1),(285,1)}
       127:{2,6}:{(86,1),(87,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(93,1),(165,1),(168,1),(170,1),(171,1),(239,1),(243,1),(287,1)}
       129:{2,4,6}:{(88,1),(166,1),(169,1),(171,1),(172,1)}
       130:{2,5,6,7}:{(89,1),(91,1),(173,1),(174,1),(178,1)}
       131:{1,4,6,7}:{(89,1),(92,1),(174,1),(179,1),(288,1)}
       132:{1,5,7}:{(90,1),(91,1),(93,1)}
       133:{2,4,5,7}:{(91,1),(92,1),(94,1),(169,1),(174,1),(175,1),(176,1),(237,1),(242,1)}
       134:{1,4,5,6}:{(93,1),(94,1),(171,1),(175,1),(177,1),(184,1),(244,1)}
       135:{3,5,6}:{(94,1),(172,1),(176,1),(185,1),(239,1),(245,1)}
       136:{1,3,5,6}:{(96,1),(178,1),(179,1),(245,1)}
       137:{1,4,6,7}:{(95,1),(98,1),(101,1),(180,1),(187,1),(244,1)}
       138:{2,5,7}:{(95,1),(96,1),(99,1),(178,1),(180,1)}
       139:{1,4,5,7}:{(96,1),(100,1),(103,1),(179,1),(181,1),(290,1)}
       140:{1,3,7}:{(97,1),(107,1),(163,1),(182,1)}
       141:{1,2,4,6}:{(97,1),(98,1),(104,1),(108,1),(164,1),(182,1),(183,1),(247,1),(253,1),(294,1),(310,1)}
       142:{1,5}:{(98,1),(99,1)}
       143:{2,4,5}:{(99,1),(100,1),(106,1),(184,1),(185,1),(249,1)}
       144:{1,2,6,7}:{(101,1),(104,1),(111,1),(167,1),(186,1),(260,1),(288,1),(289,1)}
       145:{1,3,5,7}:{(101,1),(102,1),(105,1),(180,1),(186,1),(187,1),(250,1)}
       146:{2,4,7}:{(102,1),(103,1),(106,1),(187,1),(188,1)}
       147:{1,2,5,6}:{(104,1),(105,1),(114,1),(170,1),(183,1),(186,1),(189,1),(200,1),(243,1),(249,1),(289,1)}
       148:{1,4,6}:{(105,1),(106,1),(184,1),(187,1),(247,1)}
       149:{3,4,6}:{(106,1),(185,1),(188,1),(196,1),(239,1),(245,1),(254,1),(282,1)}
       150:{2,3,6}:{(107,1),(108,1),(182,1),(191,1),(196,1),(311,1)}
       151:{2,5}:{(108,1),(109,1)}
       152:{1,4,5}:{(109,1),(110,1),(115,1),(192,1),(247,1)}
       153:{3,4,5}:{(110,1),(116,1),(185,1),(282,1)}
       154:{2,5,7}:{(111,1),(112,1),(114,1),(194,1),(297,1)}
       155:{1,4,7}:{(112,1),(113,1),(115,1),(194,1)}
       156:{3,4,7}:{(113,1),(116,1),(120,1)}
       157:{2,4,6}:{(114,1),(115,1),(192,1),(194,1),(196,1)}
       158:{1,3,4,6}:{(115,1),(116,1),(121,1),(193,1),(195,1),(196,1),(197,1),(259,1)}
       159:{1,4,6,7}:{(117,1),(118,1),(119,1),(198,1),(244,1)}
       160:{3,6,7}:{(118,1),(120,1),(245,1)}
       161:{1,3,5,7}:{(119,1),(120,1),(121,1),(195,1),(198,1),(199,1)}
       162:{2,5,6}:{(121,1),(197,1),(199,1),(200,1),(249,1),(289,1)}
       163:{2,3,7}:{(122,1),(140,1),(201,1),(264,1)}
       164:{2,4,6}:{(122,1),(123,1),(127,1),(201,1),(202,1),(261,1),(301,1),(312,1)}
       165:{1,3,5}:{(123,1),(124,1),(142,1),(202,1),(203,1),(262,1),(274,1)}
       166:{2,4,5}:{(124,1),(129,1),(203,1),(204,1),(225,1)}
       167:{2,6,7}:{(125,1),(127,1),(205,1)}
       168:{1,3,5,7}:{(125,1),(126,1),(128,1),(132,1),(205,1),(206,1),(264,1),(269,1),(300,1)}
       169:{2,4,7}:{(126,1),(129,1),(206,1),(207,1)}
       170:{2,5,6}:{(127,1),(128,1),(202,1),(205,1),(208,1),(301,1)}
       171:{1,4,6}:{(128,1),(129,1),(203,1),(206,1),(208,1)}
       172:{3,4,6}:{(129,1),(135,1),(204,1),(207,1)}
       173:{1,5,6,7}:{(130,1),(132,1),(210,1),(214,1)}
       174:{2,4,6,7}:{(130,1),(131,1),(133,1),(210,1),(211,1),(215,1),(268,1)}
       175:{1,4,5,7}:{(132,1),(133,1),(134,1),(206,1),(210,1),(212,1)}
       176:{3,5,7}:{(133,1),(135,1),(207,1),(211,1),(264,1)}
       177:{1,3,5,6}:{(134,1),(135,1),(209,1),(212,1),(213,1),(220,1),(270,1)}
       178:{2,5,6}:{(136,1),(138,1),(214,1),(215,1)}
       179:{1,4,6}:{(136,1),(139,1),(215,1),(302,1)}
       180:{1,5,7}:{(137,1),(138,1),(142,1),(214,1)}
       181:{2,4,5,7}:{(138,1),(139,1),(143,1),(146,1),(215,1),(216,1),(217,1),(271,1)}
       182:{1,3,6}:{(140,1),(141,1),(150,1),(201,1),(218,1),(313,1)}
       183:{1,2,5}:{(141,1),(142,1),(151,1),(202,1),(218,1),(274,1)}
       184:{1,4,5}:{(142,1),(143,1),(148,1),(220,1)}
       185:{3,5}:{(143,1),(149,1)}
       186:{1,2,5,7}:{(144,1),(145,1),(147,1),(154,1),(205,1),(221,1),(233,1),(269,1),(271,1)}
       187:{1,4,7}:{(145,1),(146,1),(148,1)}
       188:{3,4,7}:{(146,1),(149,1),(217,1),(228,1),(264,1)}
       189:{1,2,4,6}:{(147,1),(148,1),(157,1),(208,1),(219,1),(221,1),(223,1),(224,1),(231,1),(267,1),(281,1),(301,1)}
       190:{1,3,4,6}:{(148,1),(149,1),(220,1),(222,1),(223,1),(224,1),(270,1),(272,1)}
       191:{2,3,5}:{(150,1),(151,1),(218,1),(225,1),(226,1)}
       192:{2,4,5}:{(151,1),(152,1),(157,1),(225,1),(226,1)}
       193:{1,3,4,5}:{(152,1),(153,1),(158,1),(220,1),(226,1),(227,1),(272,1),(279,1)}
       194:{2,4,7}:{(154,1),(155,1),(157,1),(228,1)}
       195:{1,3,4,7}:{(155,1),(156,1),(158,1),(161,1),(228,1),(229,1),(280,1)}
       196:{3,6}:{(157,1),(226,1),(228,1)}
       197:{2,4,6}:{(158,1),(162,1),(227,1),(229,1),(230,1),(231,1),(281,1)}
       198:{1,3,6,7}:{(159,1),(160,1),(161,1),(232,1),(270,1)}
       199:{2,5,7}:{(161,1),(162,1),(229,1),(232,1),(233,1)}
       200:{1,5,6}:{(162,1),(231,1),(233,1),(274,1),(302,1)}
       201:{2,3,6}:{(163,1),(164,1),(182,1),(234,1),(239,1),(314,1)}
       202:{2,5}:{(164,1),(165,1)}
       203:{1,4,5}:{(165,1),(166,1),(171,1),(235,1),(247,1)}
       204:{3,4,5}:{(166,1),(172,1),(185,1),(254,1)}
       205:{2,5,7}:{(167,1),(168,1),(170,1),(237,1),(309,1)}
       206:{1,4,7}:{(168,1),(169,1),(171,1),(237,1)}
       207:{3,4,7}:{(169,1),(172,1),(176,1)}
       208:{2,4,6}:{(170,1),(171,1),(235,1),(237,1),(239,1)}
       209:{1,3,4,6}:{(171,1),(172,1),(177,1),(236,1),(238,1),(239,1),(240,1),(287,1)}
       210:{1,4,6,7}:{(173,1),(174,1),(175,1),(241,1),(244,1)}
       211:{3,6,7}:{(174,1),(176,1),(245,1)}
       212:{1,3,5,7}:{(175,1),(176,1),(177,1),(238,1),(241,1),(242,1)}
       213:{2,5,6}:{(177,1),(240,1),(242,1),(243,1),(249,1),(289,1)}
       214:{1,5,6}:{(178,1),(180,1),(244,1)}
       215:{2,4,6}:{(178,1),(179,1),(181,1),(244,1),(245,1),(289,1)}
       216:{1,4,5,7}:{(180,1),(181,1),(184,1),(187,1),(244,1),(246,1)}
       217:{3,5,7}:{(181,1),(185,1),(188,1),(245,1)}
       218:{1,3,5}:{(182,1),(183,1),(191,1),(234,1),(247,1)}
       219:{1,2,4,5}:{(183,1),(184,1),(189,1),(192,1),(235,1),(247,1),(248,1),(249,1),(256,1),(284,1),(291,1),(296,1),(308,1),(310,1)}
       220:{1,3,5}:{(184,1),(185,1),(190,1),(249,1)}
       221:{1,2,4,7}:{(186,1),(187,1),(189,1),(194,1),(237,1),(250,1),(251,1),(258,1),(286,1),(297,1),(309,1)}
       222:{1,3,4,7}:{(187,1),(188,1),(190,1),(246,1),(250,1),(251,1)}
       223:{1,3,6}:{(189,1),(196,1),(239,1),(248,1),(250,1),(252,1)}
       224:{2,4,6}:{(190,1),(249,1),(251,1),(252,1),(253,1),(289,1),(291,1)}
       225:{2,4}:{(191,1),(247,1),(254,1)}
       226:{3,5}:{(192,1),(196,1),(254,1)}
       227:{2,4,5}:{(193,1),(197,1),(249,1),(255,1),(256,1),(291,1),(296,1)}
       228:{3,7}:{(194,1),(196,1)}
       229:{2,4,7}:{(195,1),(197,1),(199,1),(257,1),(258,1),(297,1)}
       230:{2,3,6}:{(196,1),(197,1),(255,1),(257,1),(259,1)}
       231:{1,4,6}:{(197,1),(200,1),(256,1),(258,1),(259,1)}
       232:{2,6,7}:{(198,1),(199,1),(260,1),(289,1)}
       233:{1,5,7}:{(199,1),(200,1),(258,1),(260,1)}
       234:{2,3,5}:{(201,1),(202,1),(218,1),(261,1),(262,1)}
       235:{2,4,5}:{(202,1),(203,1),(208,1),(261,1),(262,1)}
       236:{1,3,4,5}:{(203,1),(204,1),(209,1),(220,1),(262,1),(263,1),(272,1),(299,1)}
       237:{2,4,7}:{(205,1),(206,1),(208,1),(264,1)}
       238:{1,3,4,7}:{(206,1),(207,1),(209,1),(212,1),(264,1),(265,1),(300,1)}
       239:{3,6}:{(208,1),(262,1),(264,1)}
       240:{2,4,6}:{(209,1),(213,1),(263,1),(265,1),(266,1),(267,1),(301,1)}
       241:{1,3,6,7}:{(210,1),(211,1),(212,1),(268,1),(270,1)}
       242:{2,5,7}:{(212,1),(213,1),(265,1),(268,1),(269,1)}
       243:{1,5,6}:{(213,1),(267,1),(269,1),(274,1),(302,1)}
       244:{1,4,6}:{(214,1),(215,1),(216,1),(270,1)}
       245:{3,6}:{(215,1),(217,1)}
       246:{1,3,5,7}:{(216,1),(217,1),(220,1),(222,1),(270,1),(271,1)}
       247:{1,4}:{(218,1),(225,1),(261,1)}
       248:{1,3,5}:{(219,1),(223,1),(226,1),(262,1),(272,1),(273,1),(313,1)}
       249:{2,5}:{(220,1),(224,1),(274,1)}
       250:{1,3,7}:{(221,1),(223,1),(228,1),(264,1),(275,1)}
       251:{2,4,7}:{(222,1),(224,1),(271,1),(275,1),(276,1)}
       252:{2,3,6}:{(223,1),(224,1),(273,1),(275,1),(277,1),(281,1),(301,1)}
       253:{1,4,6}:{(224,1),(274,1),(276,1),(277,1),(302,1),(303,1)}
       254:{3,4}:{(225,1),(226,1)}
       255:{2,3,5}:{(226,1),(227,1),(230,1),(278,1),(279,1)}
       256:{1,4,5}:{(227,1),(231,1),(274,1),(279,1),(303,1)}
       257:{2,3,7}:{(228,1),(229,1),(230,1),(280,1)}
       258:{1,4,7}:{(229,1),(231,1),(233,1),(280,1)}
       259:{1,3,6}:{(230,1),(231,1),(279,1),(280,1),(281,1)}
       260:{1,6,7}:{(232,1),(233,1),(302,1)}
       261:{2,4}:{(234,1),(247,1),(282,1)}
       262:{3,5}:{(235,1),(239,1),(282,1)}
       263:{2,4,5}:{(236,1),(240,1),(249,1),(283,1),(284,1),(291,1),(308,1)}
       264:{3,7}:{(237,1),(239,1)}
       265:{2,4,7}:{(238,1),(240,1),(242,1),(285,1),(286,1),(309,1)}
       266:{2,3,6}:{(239,1),(240,1),(283,1),(285,1),(287,1)}
       267:{1,4,6}:{(240,1),(243,1),(284,1),(286,1),(287,1)}
       268:{2,6,7}:{(241,1),(242,1),(288,1),(289,1)}
       269:{1,5,7}:{(242,1),(243,1),(286,1),(288,1)}
       270:{1,3,6}:{(244,1),(245,1),(246,1),(289,1)}
       271:{2,5,7}:{(246,1),(249,1),(251,1),(289,1),(290,1)}
       272:{1,3,4}:{(247,1),(248,1),(254,1),(282,1),(291,1)}
       273:{2,3,5}:{(248,1),(249,1),(252,1),(291,1),(292,1),(296,1),(308,1),(311,1),(314,1)}
       274:{1,5}:{(249,1),(253,1)}
       275:{2,3,7}:{(250,1),(251,1),(252,1),(293,1),(297,1),(309,1)}
       276:{1,4,7}:{(251,1),(253,1),(290,1),(293,1)}
       277:{1,3,6}:{(252,1),(253,1),(292,1),(293,1),(294,1)}
       278:{2,3,4}:{(254,1),(255,1),(291,1),(295,1),(314,1)}
       279:{1,3,5}:{(255,1),(256,1),(259,1),(295,1),(296,1)}
       280:{1,3,7}:{(257,1),(258,1),(259,1),(297,1)}
       281:{2,6}:{(259,1),(296,1),(297,1)}
       282:{3,4}:{(261,1),(262,1)}
       283:{2,3,5}:{(262,1),(263,1),(266,1),(298,1),(299,1)}
       284:{1,4,5}:{(263,1),(267,1),(274,1),(299,1),(303,1)}
       285:{2,3,7}:{(264,1),(265,1),(266,1),(300,1)}
       286:{1,4,7}:{(265,1),(267,1),(269,1),(300,1)}
       287:{1,3,6}:{(266,1),(267,1),(299,1),(300,1),(301,1)}
       288:{1,6,7}:{(268,1),(269,1),(302,1)}
       289:{2,6}:{(270,1),(271,1),(302,1)}
       290:{1,5,7}:{(271,1),(274,1),(276,1),(302,1)}
       291:{2,4}:{(272,1),(273,1),(303,1)}
       292:{1,3,5}:{(273,1),(274,1),(277,1),(303,1),(304,1),(313,1)}
       293:{1,3,7}:{(275,1),(276,1),(277,1),(305,1)}
       294:{1,2,6}:{(277,1),(281,1),(301,1),(304,1),(305,1)}
       295:{1,3,4}:{(278,1),(279,1),(303,1),(306,1),(313,1)}
       296:{2,5}:{(279,1),(281,1),(306,1)}
       297:{2,7}:{(280,1),(281,1)}
       298:{2,3,4}:{(282,1),(283,1),(291,1),(307,1),(311,1)}
       299:{1,3,5}:{(283,1),(284,1),(287,1),(307,1),(308,1)}
       300:{1,3,7}:{(285,1),(286,1),(287,1),(309,1)}
       301:{2,6}:{(287,1),(308,1),(309,1)}
       302:{1,6}:{(289,1),(290,1)}
       303:{1,4}:{(291,1),(292,1)}
       304:{1,2,5}:{(292,1),(294,1),(296,1),(308,1),(310,1)}
       305:{1,2,7}:{(293,1),(294,1),(297,1),(309,1)}
       306:{2,4}:{(295,1),(296,1),(311,1)}
       307:{1,3,4}:{(298,1),(299,1),(303,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(301,1),(312,1)}
       309:{2,7}:{(300,1),(301,1)}
       310:{1,2,4}:{(303,1),(304,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(307,1),(308,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

1407 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1408 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1409 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1410 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1411 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1412 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1413 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1414 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(48,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(31,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(67,1),(105,1),(106,1),(110,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(46,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(133,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(89,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(29,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(118,1),(141,1),(151,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(29,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(30,1),(32,1),(33,1),(62,1),(66,1),(104,1),(110,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(68,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(46,1),(83,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(89,1),(132,1),(160,1),(164,1),(171,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(46,1),(129,1),(138,1),(156,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(46,1),(47,1),(127,1),(134,1)}
        31:{1,3,6,7}:{(17,1),(44,1),(47,1),(48,1),(124,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(46,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(47,1),(50,1),(51,1),(84,1),(89,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(91,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(68,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(31,1),(64,1),(69,1),(105,1)}
        45:{2,4,5}:{(28,1),(32,1),(66,1),(67,1),(110,1),(150,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(69,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(33,1),(64,1),(69,1),(70,1),(113,1)}
        48:{1,2,6,7}:{(31,1),(70,1),(143,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(68,1),(71,1),(104,1),(115,1),(150,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,2,5,6}:{(33,1),(70,1),(72,1),(110,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(112,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(91,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(48,1),(56,1),(82,1),(87,1),(88,1),(92,1),(125,1),(129,1),(133,1),(157,1),(172,1)}
        66:{2,3,5}:{(45,1),(49,1),(89,1),(164,1),(171,1),(173,1)}
        67:{1,4,5}:{(45,1),(50,1),(89,1),(163,1)}
        68:{2,3,4,7}:{(46,1),(49,1),(85,1),(91,1),(134,1),(138,1),(156,1),(162,1)}
        69:{1,4,7}:{(46,1),(47,1),(50,1)}
        70:{1,2,5,7}:{(47,1),(48,1),(51,1),(92,1),(127,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(132,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(134,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(112,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(68,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(69,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(113,1),(144,1),(151,1),(167,1)}
        89:{1,3,5}:{(66,1),(67,1),(71,1),(110,1),(174,1)}
        90:{1,2,4,5}:{(67,1),(72,1),(110,1),(111,1),(150,1)}
        91:{1,3,4,7}:{(68,1),(69,1),(71,1),(107,1),(112,1),(113,1),(151,1),(170,1)}
        92:{1,2,4,7}:{(69,1),(70,1),(72,1),(112,1),(113,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(150,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(134,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,5}:{(89,1),(93,1)}
       111:{1,3,5}:{(90,1),(94,1),(131,1),(132,1)}
       112:{2,4,7}:{(91,1),(93,1),(127,1),(134,1)}
       113:{1,3,7}:{(92,1),(94,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(133,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,5}:{(110,1),(114,1),(149,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(115,1),(149,1),(150,1)}
       132:{1,3,4}:{(111,1),(150,1)}
       133:{1,2,4,7}:{(112,1),(114,1),(146,1),(151,1),(170,1)}
       134:{2,3,7}:{(112,1),(113,1),(115,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(151,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(133,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(134,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(132,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,5}:{(130,1),(131,1),(135,1),(163,1)}
       150:{2,4}:{(131,1),(132,1),(163,1)}
       151:{1,3,7}:{(133,1),(134,1),(135,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(170,1)}
       163:{1,4}:{(149,1),(150,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1415 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1416 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1417 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1418 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1419 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1420 :   0:{2,3,4,5}:{(2,1),(3,1),(39,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(23,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(23,1),(66,1),(74,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(60,1),(108,1)}
         4:{1,2,4}:{(1,1),(11,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(14,1),(42,1)}
         6:{2,3,4}:{(11,1),(15,1)}
         7:{2,4,5}:{(2,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(85,1),(131,1)}
        11:{1,3,4}:{(4,1),(6,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(4,1),(7,1),(23,1),(25,1),(26,1),(59,1),(66,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(69,1)}
        14:{1,2,3,7}:{(5,1),(27,1),(65,1)}
        15:{2,3,5}:{(6,1),(7,1),(23,1),(29,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(72,1),(76,1)}
        17:{2,4,6}:{(7,1),(8,1),(29,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(65,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(108,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(39,1),(42,1)}
        24:{1,3,4,6}:{(11,1),(13,1),(16,1),(40,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        25:{1,2,4,6}:{(12,1),(17,1),(42,1),(45,1),(46,1),(83,1),(90,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(44,1),(47,1)}
        28:{2,3,4,5}:{(15,1),(41,1),(48,1),(51,1)}
        29:{2,3,6}:{(15,1),(17,1),(42,1),(50,1)}
        30:{2,3,5}:{(16,1),(43,1),(51,1)}
        31:{2,3,4,7}:{(16,1),(44,1),(50,1),(52,1),(98,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(50,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(163,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(131,1),(162,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,5}:{(22,1),(23,1),(59,1),(60,1)}
        40:{2,3,4,6}:{(22,1),(24,1),(60,1),(61,1),(62,1),(108,1),(112,1)}
        41:{1,3,4,5}:{(23,1),(28,1),(59,1),(63,1),(66,1),(110,1)}
        42:{1,3,6}:{(23,1),(25,1),(29,1),(60,1),(65,1)}
        43:{1,3,5}:{(24,1),(26,1),(30,1),(61,1),(66,1)}
        44:{1,3,4,7}:{(24,1),(27,1),(31,1),(62,1),(65,1),(67,1),(115,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(32,1),(64,1),(68,1),(69,1),(106,1)}
        46:{1,2,4,7}:{(25,1),(33,1),(65,1),(68,1),(107,1),(115,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(63,1),(70,1),(71,1),(72,1)}
        49:{2,3,5,6}:{(29,1),(30,1),(32,1),(64,1),(72,1),(73,1),(76,1),(77,1),(124,1)}
        50:{2,3,7}:{(29,1),(33,1),(65,1)}
        51:{2,4,5}:{(30,1),(66,1),(72,1),(74,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(67,1),(75,1),(76,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(72,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(39,1),(41,1),(83,1)}
        60:{2,3,6}:{(39,1),(42,1),(83,1),(85,1)}
        61:{2,3,5}:{(40,1),(43,1),(86,1)}
        62:{2,3,4,7}:{(40,1),(44,1),(85,1),(87,1),(131,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,3,5,6}:{(42,1),(43,1),(45,1),(49,1),(84,1),(90,1),(91,1),(93,1),(138,1)}
        65:{1,3,7}:{(42,1),(46,1),(50,1),(85,1)}
        66:{1,4,5}:{(43,1),(51,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(47,1),(52,1),(87,1),(92,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(46,1),(54,1),(91,1),(94,1),(129,1)}
        69:{1,2,6}:{(47,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(50,1),(89,1),(96,1),(98,1)}
        72:{2,4,6}:{(49,1),(51,1),(90,1),(97,1),(98,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(54,1),(91,1),(98,1),(99,1),(102,1),(142,1)}
        74:{3,4,5}:{(51,1),(97,1)}
        75:{2,4,5,7}:{(51,1),(52,1),(92,1),(98,1),(100,1),(101,1),(142,1)}
        76:{2,3,6}:{(52,1),(93,1),(101,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(98,1),(102,1),(103,1),(142,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(162,1)}
        83:{2,4,6}:{(59,1),(60,1),(63,1),(106,1),(107,1)}
        84:{2,3,5,6}:{(60,1),(61,1),(64,1),(106,1),(108,1),(109,1),(112,1),(145,1),(151,1)}
        85:{2,3,7}:{(60,1),(65,1),(107,1)}
        86:{2,4,5}:{(61,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(111,1),(112,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(65,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(66,1),(72,1),(108,1),(115,1)}
        91:{1,3,5,7}:{(64,1),(65,1),(68,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,4,5,7}:{(66,1),(67,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(76,1),(112,1),(117,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(116,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(72,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(74,1),(77,1),(121,1)}
        98:{2,4,7}:{(72,1),(73,1),(115,1),(121,1)}
        99:{2,3,6,7}:{(73,1),(76,1),(79,1),(116,1),(122,1),(125,1)}
       100:{3,4,5,7}:{(74,1),(75,1),(121,1),(123,1),(156,1)}
       101:{2,4,6}:{(75,1),(76,1),(117,1),(123,1),(124,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(85,1),(89,1),(129,1)}
       108:{2,4,6}:{(84,1),(86,1),(90,1),(130,1),(131,1)}
       109:{2,3,5,7}:{(84,1),(85,1),(91,1),(129,1),(131,1),(132,1),(159,1),(162,1)}
       110:{3,4,5}:{(86,1),(130,1)}
       111:{2,4,5,7}:{(86,1),(87,1),(92,1),(131,1),(133,1),(134,1),(162,1)}
       112:{2,3,6}:{(87,1),(93,1),(134,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(91,1),(98,1),(131,1)}
       116:{1,3,6,7}:{(91,1),(93,1),(94,1),(99,1),(132,1),(137,1)}
       117:{1,4,6}:{(92,1),(93,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(143,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(98,1),(135,1),(139,1),(140,1),(142,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(98,1),(102,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(101,1),(137,1),(141,1),(142,1)}
       123:{3,4,6}:{(100,1),(101,1),(143,1)}
       124:{2,5,6}:{(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(142,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(108,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(110,1),(145,1),(148,1)}
       131:{2,4,7}:{(108,1),(109,1),(115,1),(148,1)}
       132:{2,3,6,7}:{(109,1),(112,1),(116,1),(147,1),(149,1),(167,1)}
       133:{3,4,5,7}:{(110,1),(111,1),(148,1),(150,1),(169,1)}
       134:{2,4,6}:{(111,1),(112,1),(117,1),(150,1),(151,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(122,1),(149,1),(153,1)}
       138:{1,5,6}:{(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{2,5,7}:{(122,1),(124,1),(153,1),(156,1)}
       143:{3,5,6}:{(123,1),(124,1),(156,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(131,1),(135,1),(159,1),(160,1),(162,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(131,1),(159,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(134,1),(137,1),(161,1),(162,1)}
       150:{3,4,6}:{(133,1),(134,1),(163,1)}
       151:{2,5,6}:{(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(142,1),(162,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(142,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,5,7}:{(149,1),(151,1),(153,1),(169,1)}
       163:{3,5,6}:{(150,1),(151,1),(169,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(162,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1421 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1422 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1423 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1424 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(21,1),(108,1),(177,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(59,1),(95,1),(115,1),(161,1),(187,1),(227,1),(230,1),(237,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(8,1),(36,1),(37,1),(78,1),(146,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(141,1),(210,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(86,1),(151,1),(257,1),(259,1),(266,1)}
         5:{1,3,4,5,7}:{(1,1),(13,1),(14,1),(31,1),(41,1),(126,1),(131,1),(133,1),(149,1),(156,1),(157,1),(258,1)}
         6:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1),(54,1),(95,1),(96,1),(161,1),(176,1),(179,1)}
         7:{2,4,5,6,7}:{(2,1),(18,1),(20,1),(52,1),(57,1),(114,1)}
         8:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(180,1)}
         9:{3,4,6,7}:{(3,1),(15,1),(21,1)}
        10:{2,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(22,1),(54,1)}
        11:{3,4,5,6}:{(15,1),(25,1),(186,1),(241,1)}
        12:{2,3,5,6}:{(4,1),(16,1),(25,1),(26,1),(241,1),(243,1)}
        13:{1,3,4,6}:{(4,1),(5,1),(26,1),(27,1),(63,1),(121,1),(123,1),(282,1)}
        14:{2,4,5,7}:{(5,1),(27,1),(28,1),(49,1),(102,1),(124,1),(160,1),(183,1)}
        15:{3,4,5,7}:{(9,1),(11,1),(30,1),(195,1),(210,1)}
        16:{2,3,5,7}:{(6,1),(12,1),(30,1),(31,1),(210,1),(213,1)}
        17:{1,3,4,6,7}:{(6,1),(13,1),(31,1),(32,1),(37,1),(71,1),(80,1),(83,1),(126,1),(131,1),(133,1),(212,1)}
        18:{3,5,6,7}:{(7,1),(33,1),(83,1),(147,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(33,1),(35,1),(37,1),(78,1),(80,1),(83,1),(141,1)}
        20:{2,5,6,7}:{(8,1),(35,1),(36,1),(213,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(30,1),(37,1)}
        22:{1,3,5,6,7}:{(10,1),(31,1),(36,1),(37,1),(38,1),(80,1),(83,1)}
        23:{1,3,4,5,6}:{(11,1),(29,1),(39,1),(42,1),(75,1),(88,1),(92,1),(137,1),(155,1),(204,1),(214,1)}
        24:{1,2,4,5,7}:{(14,1),(40,1),(41,1),(70,1),(87,1),(131,1),(152,1),(156,1),(193,1),(196,1),(215,1),(258,1),(297,1)}
        25:{2,4,5,6}:{(11,1),(12,1),(30,1),(42,1),(151,1)}
        26:{1,3,5,6}:{(12,1),(13,1),(31,1),(42,1),(43,1),(92,1),(270,1)}
        27:{2,4,6}:{(13,1),(14,1),(43,1),(44,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(44,1),(45,1),(94,1),(194,1),(216,1)}
        29:{1,3,4,5,7}:{(15,1),(19,1),(23,1),(46,1),(48,1),(51,1),(97,1),(101,1),(106,1),(165,1),(173,1),(180,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(21,1),(25,1),(48,1),(161,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(26,1),(48,1),(49,1),(101,1),(242,1)}
        32:{2,4,6,7}:{(17,1),(27,1),(49,1),(50,1),(102,1),(110,1),(160,1)}
        33:{3,4,6,7}:{(18,1),(51,1),(52,1)}
        34:{2,3,5,6,7}:{(18,1),(20,1),(52,1),(53,1),(54,1),(105,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(46,1),(54,1),(55,1),(110,1)}
        36:{1,5,6,7}:{(20,1),(55,1),(242,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(48,1),(57,1)}
        38:{2,5,6,7}:{(22,1),(49,1),(57,1),(110,1)}
        39:{2,4,5,6}:{(23,1),(46,1),(60,1),(61,1),(119,1),(189,1),(243,1)}
        40:{1,2,4,6}:{(24,1),(27,1),(62,1),(63,1),(118,1),(121,1),(228,1),(282,1),(307,1)}
        41:{1,3,5,7}:{(24,1),(28,1),(59,1),(63,1),(64,1),(122,1),(225,1),(227,1),(244,1)}
        42:{1,4,5,6}:{(25,1),(26,1),(48,1),(65,1),(121,1)}
        43:{2,5,6}:{(26,1),(27,1),(49,1)}
        44:{2,3,6}:{(27,1),(28,1),(63,1)}
        45:{2,3,4,7}:{(28,1),(64,1),(67,1),(102,1),(245,1)}
        46:{2,4,5,7}:{(29,1),(35,1),(39,1),(68,1),(69,1),(129,1),(199,1),(213,1)}
        47:{1,2,4,6,7}:{(32,1),(40,1),(70,1),(71,1),(128,1),(131,1),(143,1),(193,1),(212,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(37,1),(42,1),(72,1),(131,1)}
        49:{2,5,7}:{(31,1),(32,1),(43,1)}
        50:{2,3,6,7}:{(32,1),(44,1),(71,1),(73,1),(83,1),(194,1)}
        51:{3,4,5,7}:{(33,1),(75,1),(76,1),(147,1),(301,1)}
        52:{2,4,6,7}:{(33,1),(34,1),(76,1),(78,1)}
        53:{1,3,5,6,7}:{(34,1),(36,1),(78,1),(79,1),(80,1),(138,1),(141,1)}
        54:{2,3,6,7}:{(35,1),(68,1),(80,1),(83,1),(141,1)}
        55:{1,4,6,7}:{(35,1),(36,1),(69,1),(80,1)}
        56:{1,2,5,6,7}:{(36,1),(38,1),(70,1),(79,1),(81,1),(82,1),(143,1),(197,1),(205,1),(213,1),(270,1),(304,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(72,1),(83,1)}
        58:{2,3,5,6,7}:{(38,1),(73,1),(82,1),(83,1),(84,1),(135,1),(144,1),(147,1),(213,1),(263,1),(304,1),(314,1)}
        59:{2,3,5,7}:{(41,1),(86,1),(87,1),(152,1),(254,1),(271,1),(297,1)}
        60:{2,3,5,6}:{(39,1),(68,1),(85,1),(88,1),(92,1),(204,1)}
        61:{1,4,5,6}:{(39,1),(69,1),(88,1),(220,1),(270,1)}
        62:{1,2,5,6}:{(40,1),(43,1),(70,1),(90,1),(152,1),(197,1),(270,1)}
        63:{1,3,6}:{(40,1),(41,1),(44,1),(86,1),(257,1)}
        64:{1,3,4,7}:{(41,1),(45,1),(87,1),(91,1),(131,1),(195,1),(272,1)}
        65:{2,4,5,6}:{(42,1),(43,1),(72,1),(92,1),(93,1)}
        66:{2,3,5,6}:{(43,1),(44,1),(73,1),(90,1),(92,1),(93,1),(94,1)}
        67:{2,3,4,6}:{(44,1),(45,1),(91,1),(93,1),(94,1)}
        68:{2,3,5,7}:{(46,1),(54,1),(60,1),(95,1),(97,1),(101,1),(173,1)}
        69:{1,4,5,7}:{(46,1),(55,1),(61,1),(97,1),(229,1),(242,1)}
        70:{1,2,5,7}:{(47,1),(49,1),(62,1),(99,1),(162,1),(242,1)}
        71:{1,3,6,7}:{(47,1),(50,1),(63,1),(96,1),(99,1),(225,1)}
        72:{2,4,5,7}:{(48,1),(49,1),(57,1),(65,1),(101,1),(102,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(66,1),(99,1),(101,1),(102,1)}
        74:{2,3,4,6,7}:{(50,1),(67,1),(100,1),(102,1),(103,1),(113,1),(169,1),(179,1),(226,1),(281,1)}
        75:{3,4,5,6}:{(51,1),(104,1),(182,1),(308,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(104,1),(105,1),(106,1),(286,1)}
        77:{2,3,4,6,7}:{(52,1),(54,1),(95,1),(105,1),(107,1),(113,1),(158,1),(179,1),(238,1),(286,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(106,1),(108,1)}
        79:{2,5,6,7}:{(53,1),(108,1),(110,1),(172,1)}
        80:{1,3,6,7}:{(54,1),(55,1),(97,1),(110,1)}
        81:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(98,1),(108,1),(110,1),(111,1),(112,1),(179,1),(228,1),(282,1),(307,1),(311,1)}
        82:{1,3,5,6,7}:{(56,1),(58,1),(99,1),(109,1),(111,1),(112,1),(167,1),(178,1),(180,1),(235,1),(242,1),(290,1)}
        83:{3,6,7}:{(57,1),(101,1)}
        84:{2,4,6,7}:{(58,1),(102,1),(112,1),(113,1),(114,1),(169,1),(286,1),(311,1)}
        85:{2,3,4,6}:{(60,1),(95,1),(115,1),(116,1),(123,1),(189,1),(234,1),(246,1)}
        86:{2,3,6}:{(59,1),(63,1),(118,1),(307,1)}
        87:{2,4,7}:{(59,1),(64,1),(118,1),(291,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(97,1),(116,1),(119,1)}
        89:{1,2,4,5,6}:{(61,1),(62,1),(65,1),(98,1),(119,1),(120,1),(121,1),(171,1),(181,1),(184,1),(187,1),(189,1),(228,1),(232,1),(243,1),(249,1),(282,1),(284,1),(292,1),(307,1),(309,1),(311,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(66,1),(99,1),(117,1),(121,1),(122,1)}
        91:{1,3,4,6}:{(63,1),(64,1),(67,1),(118,1),(121,1),(122,1),(186,1)}
        92:{3,5,6}:{(65,1),(101,1),(123,1)}
        93:{2,4,6}:{(66,1),(102,1),(121,1),(123,1),(124,1)}
        94:{2,3,5}:{(67,1),(122,1),(124,1)}
        95:{2,3,4,7}:{(68,1),(85,1),(126,1),(133,1),(199,1),(207,1),(254,1)}
        96:{2,3,6,7}:{(71,1),(86,1),(127,1),(128,1),(254,1),(257,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(80,1),(88,1),(126,1),(129,1)}
        98:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(81,1),(89,1),(129,1),(130,1),(131,1),(139,1),(146,1),(193,1),(196,1),(199,1),(205,1),(213,1),(258,1),(264,1),(297,1),(302,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(90,1),(127,1),(131,1)}
       100:{1,3,4,6,7}:{(71,1),(74,1),(91,1),(128,1),(131,1),(132,1),(195,1),(201,1),(212,1),(255,1),(257,1),(298,1)}
       101:{3,5,7}:{(72,1),(83,1),(92,1),(133,1)}
       102:{2,4,7}:{(73,1),(93,1),(131,1),(133,1)}
       103:{2,3,5,7}:{(74,1),(94,1),(132,1),(134,1),(135,1),(147,1),(213,1)}
       104:{2,4,5,6}:{(75,1),(76,1),(136,1),(137,1),(299,1)}
       105:{2,3,5,7}:{(76,1),(77,1),(136,1),(138,1),(147,1),(213,1)}
       106:{1,4,5,7}:{(76,1),(78,1),(137,1),(138,1),(139,1),(264,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(126,1),(138,1),(140,1),(141,1),(191,1),(207,1),(208,1),(212,1),(264,1)}
       108:{2,4,6,7}:{(78,1),(79,1),(139,1),(141,1)}
       109:{2,3,5,6,7}:{(79,1),(82,1),(127,1),(141,1),(142,1),(144,1),(197,1),(206,1),(210,1),(213,1),(257,1),(269,1)}
       110:{2,6,7}:{(80,1),(129,1)}
       111:{1,3,6,7}:{(81,1),(83,1),(130,1),(141,1),(144,1),(257,1),(298,1),(314,1)}
       112:{1,4,6,7}:{(82,1),(84,1),(131,1),(142,1),(146,1),(201,1),(264,1),(303,1)}
       113:{3,4,6,7}:{(83,1),(84,1),(133,1),(147,1),(202,1),(301,1),(314,1)}
       114:{2,4,5,7}:{(84,1),(146,1),(147,1),(148,1),(213,1)}
       115:{2,3,4,5}:{(85,1),(149,1),(157,1),(221,1),(262,1),(271,1)}
       116:{1,3,4,6}:{(85,1),(88,1),(126,1),(149,1),(150,1),(217,1),(220,1)}
       117:{2,3,5,6}:{(86,1),(90,1),(127,1),(151,1),(152,1),(197,1),(219,1),(257,1)}
       118:{2,4,6}:{(86,1),(87,1),(91,1),(152,1)}
       119:{2,5,6}:{(88,1),(129,1),(150,1)}
       120:{1,3,5,6}:{(89,1),(92,1),(130,1),(154,1),(155,1),(204,1),(217,1),(219,1),(257,1),(274,1),(298,1),(313,1),(314,1)}
       121:{1,4,6}:{(90,1),(93,1),(131,1),(151,1),(156,1)}
       122:{1,3,5}:{(91,1),(94,1),(152,1),(156,1),(219,1)}
       123:{3,4,6}:{(92,1),(93,1),(133,1),(157,1)}
       124:{2,4,5}:{(93,1),(94,1),(156,1),(157,1)}
       125:{2,3,4,5,7}:{(95,1),(105,1),(115,1),(158,1),(159,1),(168,1),(230,1),(277,1),(286,1),(309,1),(310,1)}
       126:{1,3,4,7}:{(95,1),(97,1),(116,1),(160,1),(225,1),(229,1)}
       127:{2,3,5,7}:{(96,1),(99,1),(117,1),(161,1),(162,1),(227,1)}
       128:{2,4,6,7}:{(96,1),(100,1),(118,1),(161,1),(162,1),(228,1),(279,1),(307,1)}
       129:{2,5,7}:{(97,1),(110,1),(119,1),(160,1)}
       130:{1,3,5,7}:{(98,1),(101,1),(111,1),(120,1),(164,1),(165,1),(173,1),(225,1),(227,1),(310,1)}
       131:{1,4,7}:{(99,1),(102,1),(121,1),(161,1)}
       132:{1,3,5,7}:{(100,1),(103,1),(122,1),(162,1),(166,1),(167,1),(227,1),(242,1)}
       133:{3,4,7}:{(101,1),(102,1),(123,1)}
       134:{2,4,5,7}:{(102,1),(103,1),(124,1),(166,1),(168,1),(169,1)}
       135:{2,3,5,6}:{(103,1),(167,1),(169,1),(182,1),(243,1),(281,1)}
       136:{2,3,5,6}:{(104,1),(105,1),(158,1),(170,1),(182,1),(243,1)}
       137:{1,4,5,6}:{(104,1),(106,1),(170,1),(171,1),(284,1)}
       138:{1,3,5,7}:{(105,1),(106,1),(107,1),(170,1),(172,1),(173,1),(242,1)}
       139:{2,4,5,7}:{(106,1),(108,1),(171,1),(172,1),(173,1),(236,1)}
       140:{2,4,6,7}:{(107,1),(110,1),(160,1),(172,1),(175,1),(222,1),(236,1)}
       141:{3,6,7}:{(108,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(112,1),(161,1),(176,1),(177,1),(228,1),(236,1),(288,1)}
       143:{1,2,6,7}:{(110,1),(163,1),(178,1),(307,1)}
       144:{2,3,6,7}:{(110,1),(111,1),(164,1),(178,1),(179,1),(281,1),(307,1)}
       145:{1,3,4,6,7}:{(111,1),(112,1),(113,1),(165,1),(176,1),(179,1),(180,1),(231,1)}
       146:{1,4,5,7}:{(112,1),(114,1),(177,1),(180,1),(181,1),(242,1)}
       147:{3,5,7}:{(113,1),(114,1),(182,1)}
       148:{2,4,5,6}:{(114,1),(169,1),(181,1),(182,1),(243,1),(311,1)}
       149:{1,3,4,5}:{(115,1),(116,1),(183,1),(244,1),(249,1)}
       150:{2,4,6}:{(116,1),(119,1),(160,1),(183,1),(185,1)}
       151:{2,4,6}:{(117,1),(121,1),(161,1),(186,1),(187,1)}
       152:{2,5}:{(118,1),(122,1)}
       153:{1,2,5,6}:{(119,1),(163,1),(184,1),(188,1),(292,1),(307,1)}
       154:{2,3,5,6}:{(119,1),(120,1),(164,1),(185,1),(188,1),(189,1),(243,1),(246,1),(248,1),(281,1),(292,1),(307,1)}
       155:{1,3,4,6}:{(120,1),(121,1),(123,1),(165,1),(186,1),(189,1),(190,1),(234,1),(284,1),(308,1)}
       156:{1,4,5}:{(121,1),(122,1),(124,1),(187,1)}
       157:{3,4,5}:{(123,1),(124,1)}
       158:{2,3,4,6}:{(125,1),(136,1),(191,1),(202,1),(259,1),(293,1),(299,1),(314,1)}
       159:{1,3,4,5,7}:{(125,1),(126,1),(138,1),(149,1),(191,1),(192,1),(207,1),(252,1),(258,1),(262,1),(264,1),(300,1)}
       160:{2,4,7}:{(126,1),(129,1),(150,1),(194,1)}
       161:{2,4,7}:{(127,1),(131,1),(151,1),(195,1)}
       162:{2,5,7}:{(128,1),(132,1),(152,1),(197,1)}
       163:{1,2,5,7}:{(129,1),(143,1),(153,1),(193,1),(198,1),(297,1)}
       164:{2,3,5,7}:{(129,1),(130,1),(144,1),(154,1),(194,1),(198,1),(199,1),(213,1),(254,1),(297,1)}
       165:{1,3,4,7}:{(130,1),(131,1),(133,1),(155,1),(195,1),(199,1),(207,1),(264,1),(301,1)}
       166:{1,4,5,7}:{(131,1),(132,1),(134,1),(156,1),(196,1),(201,1)}
       167:{1,3,5,6}:{(132,1),(135,1),(197,1),(201,1),(257,1),(270,1),(298,1)}
       168:{3,4,5,7}:{(133,1),(134,1),(147,1),(157,1),(202,1)}
       169:{2,4,6}:{(134,1),(135,1),(201,1),(202,1)}
       170:{1,3,5,6}:{(136,1),(137,1),(138,1),(191,1),(203,1),(204,1),(270,1)}
       171:{2,4,5,6}:{(137,1),(139,1),(203,1),(204,1),(261,1)}
       172:{2,5,7}:{(138,1),(140,1),(203,1)}
       173:{3,5,7}:{(139,1),(141,1),(204,1),(207,1)}
       174:{1,2,4,6,7}:{(140,1),(143,1),(193,1),(205,1),(208,1),(212,1),(250,1),(264,1),(267,1)}
       175:{2,3,6,7}:{(140,1),(141,1),(194,1),(206,1),(208,1),(251,1)}
       176:{3,4,6,7}:{(141,1),(142,1),(195,1),(207,1),(210,1),(257,1),(266,1)}
       177:{2,4,5,7}:{(142,1),(146,1),(210,1),(211,1),(213,1)}
       178:{1,3,6,7}:{(143,1),(144,1),(198,1),(212,1),(298,1)}
       179:{2,4,6,7}:{(144,1),(145,1),(199,1),(212,1),(213,1),(259,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(147,1),(210,1),(213,1),(214,1)}
       181:{1,4,5,6}:{(146,1),(148,1),(201,1),(211,1),(214,1),(270,1),(303,1)}
       182:{3,5,6}:{(147,1),(148,1),(202,1),(314,1)}
       183:{2,4,5}:{(149,1),(150,1),(216,1)}
       184:{1,2,4,6}:{(150,1),(153,1),(193,1),(215,1),(217,1),(220,1),(273,1)}
       185:{2,3,6}:{(150,1),(194,1),(216,1),(217,1)}
       186:{3,4,6}:{(151,1),(195,1),(219,1),(257,1)}
       187:{2,4,5}:{(151,1),(152,1),(156,1),(219,1)}
       188:{1,3,5,6}:{(153,1),(154,1),(198,1),(217,1),(220,1),(270,1),(274,1),(298,1)}
       189:{2,4,6}:{(154,1),(155,1),(199,1),(220,1),(221,1)}
       190:{1,3,4,5}:{(155,1),(156,1),(157,1),(219,1),(221,1),(262,1),(274,1),(300,1),(313,1)}
       191:{1,3,4,6}:{(158,1),(159,1),(170,1),(222,1),(234,1),(275,1),(282,1),(284,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(172,1),(183,1),(222,1),(224,1),(236,1),(285,1)}
       193:{1,2,4,7}:{(160,1),(163,1),(184,1),(225,1),(229,1),(279,1)}
       194:{2,3,7}:{(160,1),(185,1),(225,1)}
       195:{3,4,7}:{(161,1),(186,1),(227,1)}
       196:{2,4,5,7}:{(161,1),(162,1),(166,1),(187,1),(227,1),(228,1)}
       197:{2,5,6}:{(162,1),(167,1),(228,1),(307,1)}
       198:{1,3,5,7}:{(163,1),(164,1),(178,1),(188,1),(225,1),(229,1),(242,1)}
       199:{2,4,7}:{(164,1),(165,1),(189,1),(229,1)}
       200:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(190,1),(227,1),(230,1),(231,1),(237,1),(280,1),(287,1),(310,1)}
       201:{1,4,6}:{(166,1),(167,1),(169,1),(228,1)}
       202:{3,4,6}:{(168,1),(169,1),(182,1)}
       203:{2,5,6}:{(170,1),(172,1),(222,1)}
       204:{3,5,6}:{(171,1),(173,1),(234,1)}
       205:{1,2,5,7}:{(172,1),(174,1),(232,1),(235,1),(242,1),(289,1)}
       206:{2,3,5,7}:{(172,1),(173,1),(175,1),(233,1),(235,1),(236,1)}
       207:{3,4,7}:{(173,1),(234,1),(236,1)}
       208:{1,3,6,7}:{(174,1),(175,1),(225,1),(235,1),(238,1),(275,1)}
       209:{2,3,4,6,7}:{(175,1),(176,1),(179,1),(226,1),(236,1),(239,1),(240,1),(276,1),(281,1),(288,1)}
       210:{3,5,7}:{(176,1),(177,1),(241,1)}
       211:{2,4,5,6}:{(177,1),(181,1),(228,1),(241,1),(243,1),(288,1)}
       212:{1,4,6,7}:{(178,1),(179,1),(229,1),(242,1),(282,1)}
       213:{2,5,7}:{(179,1),(180,1),(242,1),(243,1)}
       214:{1,3,5,6}:{(180,1),(181,1),(182,1),(231,1),(241,1),(243,1)}
       215:{1,2,4,5}:{(183,1),(184,1),(244,1),(249,1),(291,1),(292,1)}
       216:{2,3,5}:{(183,1),(185,1),(244,1),(245,1)}
       217:{1,3,6}:{(184,1),(185,1),(225,1),(244,1),(246,1)}
       218:{2,3,4,6}:{(185,1),(186,1),(189,1),(226,1),(245,1),(247,1),(248,1),(281,1),(308,1)}
       219:{3,5}:{(186,1),(187,1)}
       220:{1,4,6}:{(188,1),(189,1),(229,1),(249,1)}
       221:{2,4,5}:{(189,1),(190,1),(248,1),(249,1),(292,1)}
       222:{2,4,6}:{(191,1),(192,1),(203,1),(251,1)}
       223:{1,2,4,5,7}:{(192,1),(193,1),(205,1),(215,1),(250,1),(252,1),(258,1),(264,1),(296,1),(297,1),(300,1),(302,1),(312,1)}
       224:{2,3,5,7}:{(192,1),(194,1),(216,1),(251,1),(252,1),(253,1),(295,1)}
       225:{1,3,7}:{(193,1),(194,1),(217,1),(254,1)}
       226:{2,3,4,7}:{(194,1),(195,1),(199,1),(218,1),(255,1),(256,1),(301,1)}
       227:{3,5,7}:{(195,1),(196,1),(219,1),(257,1)}
       228:{2,4,6}:{(196,1),(197,1),(201,1),(257,1)}
       229:{1,4,7}:{(198,1),(199,1),(220,1)}
       230:{2,4,5,7}:{(199,1),(200,1),(213,1),(221,1),(256,1),(258,1),(259,1),(297,1)}
       231:{1,3,4,6}:{(200,1),(201,1),(202,1),(214,1),(257,1),(259,1),(266,1),(298,1),(303,1),(314,1)}
       232:{1,2,5,6}:{(203,1),(205,1),(250,1),(260,1),(270,1),(304,1),(312,1)}
       233:{2,3,5,6}:{(203,1),(204,1),(206,1),(251,1),(260,1),(261,1),(295,1)}
       234:{3,4,6}:{(204,1),(207,1),(261,1),(262,1)}
       235:{1,3,5,7}:{(205,1),(206,1),(208,1),(260,1),(263,1),(264,1)}
       236:{2,4,7}:{(206,1),(207,1),(261,1),(264,1)}
       237:{3,4,5,7}:{(207,1),(210,1),(262,1),(265,1),(266,1)}
       238:{2,3,6,7}:{(208,1),(254,1),(263,1),(267,1),(293,1),(314,1)}
       239:{1,3,4,6,7}:{(208,1),(209,1),(212,1),(255,1),(264,1),(267,1),(268,1),(294,1),(298,1),(301,1),(303,1),(314,1)}
       240:{2,3,5,7}:{(209,1),(210,1),(213,1),(265,1),(268,1),(269,1),(295,1)}
       241:{3,5,6}:{(210,1),(211,1),(257,1),(266,1)}
       242:{1,5,7}:{(212,1),(213,1),(270,1)}
       243:{2,5,6}:{(213,1),(214,1),(259,1),(270,1)}
       244:{1,3,5}:{(215,1),(216,1),(217,1),(271,1),(272,1)}
       245:{2,3,4}:{(216,1),(272,1)}
       246:{2,3,6}:{(217,1),(254,1),(271,1),(273,1)}
       247:{1,3,4,6}:{(217,1),(218,1),(220,1),(255,1),(272,1),(273,1),(274,1),(298,1)}
       248:{2,3,5}:{(218,1),(219,1),(221,1),(274,1),(313,1)}
       249:{1,4,5}:{(220,1),(221,1),(274,1)}
       250:{1,2,4,6}:{(222,1),(223,1),(232,1),(275,1),(282,1),(284,1),(305,1),(307,1),(311,1)}
       251:{2,3,6}:{(222,1),(224,1),(275,1)}
       252:{1,3,5,7}:{(223,1),(224,1),(225,1),(244,1),(275,1),(277,1),(278,1),(306,1),(310,1)}
       253:{2,3,4,7}:{(224,1),(236,1),(245,1),(276,1),(278,1)}
       254:{2,3,7}:{(225,1),(246,1),(279,1)}
       255:{1,3,4,7}:{(225,1),(226,1),(229,1),(247,1),(279,1),(280,1)}
       256:{2,3,5,7}:{(226,1),(227,1),(230,1),(248,1),(280,1),(281,1),(310,1)}
       257:{3,6}:{(227,1),(228,1)}
       258:{1,4,5,7}:{(229,1),(230,1),(242,1),(249,1),(280,1),(282,1)}
       259:{2,4,6}:{(230,1),(231,1),(243,1),(281,1),(282,1),(307,1)}
       260:{1,3,5,6}:{(232,1),(233,1),(235,1),(275,1),(283,1),(284,1),(306,1)}
       261:{2,4,6}:{(233,1),(234,1),(236,1),(284,1),(285,1)}
       262:{3,4,5}:{(234,1),(285,1)}
       263:{2,3,5,7}:{(235,1),(238,1),(283,1),(286,1),(289,1),(310,1)}
       264:{1,4,7}:{(235,1),(236,1),(284,1),(286,1)}
       265:{2,4,5,7}:{(236,1),(237,1),(240,1),(285,1),(287,1),(288,1)}
       266:{3,4,6}:{(237,1),(241,1),(288,1)}
       267:{2,4,6,7}:{(238,1),(239,1),(279,1),(286,1),(289,1),(305,1),(307,1),(311,1)}
       268:{1,3,5,7}:{(239,1),(240,1),(242,1),(287,1),(289,1),(290,1),(306,1),(310,1)}
       269:{2,3,5,6}:{(240,1),(241,1),(243,1),(281,1),(288,1),(290,1)}
       270:{1,5,6}:{(242,1),(243,1),(282,1)}
       271:{2,3,5}:{(244,1),(246,1),(291,1),(292,1)}
       272:{1,3,4}:{(244,1),(245,1),(291,1)}
       273:{2,4,6}:{(246,1),(247,1),(279,1),(291,1),(292,1),(307,1)}
       274:{1,3,5}:{(247,1),(248,1),(249,1),(292,1)}
       275:{1,3,6}:{(250,1),(251,1),(252,1),(293,1),(314,1)}
       276:{2,3,4,6}:{(251,1),(253,1),(261,1),(294,1),(295,1)}
       277:{2,3,5,7}:{(252,1),(254,1),(271,1),(293,1),(296,1),(297,1),(312,1)}
       278:{1,3,4,7}:{(252,1),(253,1),(264,1),(272,1),(294,1),(296,1),(301,1)}
       279:{2,4,7}:{(254,1),(255,1),(273,1),(297,1)}
       280:{1,3,5,7}:{(255,1),(256,1),(258,1),(274,1),(297,1),(298,1)}
       281:{2,3,6}:{(256,1),(257,1),(259,1),(298,1),(314,1)}
       282:{1,4,6}:{(258,1),(259,1),(270,1),(298,1)}
       283:{2,3,5,6}:{(260,1),(263,1),(293,1),(299,1),(304,1),(312,1),(313,1),(314,1)}
       284:{1,4,6}:{(260,1),(261,1),(264,1),(299,1),(300,1)}
       285:{2,4,5}:{(261,1),(262,1),(295,1),(300,1)}
       286:{2,4,7}:{(263,1),(264,1),(299,1),(301,1)}
       287:{1,4,5,7}:{(264,1),(265,1),(268,1),(300,1),(302,1),(303,1)}
       288:{2,4,6}:{(265,1),(266,1),(269,1),(303,1)}
       289:{2,5,7}:{(267,1),(268,1),(304,1),(312,1)}
       290:{1,3,5,6}:{(268,1),(269,1),(270,1),(298,1),(303,1),(304,1),(314,1)}
       291:{2,4}:{(271,1),(272,1)}
       292:{2,5}:{(273,1),(274,1)}
       293:{2,3,6}:{(275,1),(277,1),(305,1),(307,1)}
       294:{1,3,4,6}:{(275,1),(276,1),(278,1),(284,1),(305,1),(306,1),(308,1)}
       295:{2,3,5}:{(276,1),(285,1),(306,1)}
       296:{2,4,7}:{(277,1),(278,1),(291,1),(305,1)}
       297:{2,5,7}:{(279,1),(280,1),(292,1),(307,1)}
       298:{1,3,6}:{(280,1),(281,1),(282,1),(307,1)}
       299:{2,4,6}:{(283,1),(284,1),(286,1),(308,1),(309,1)}
       300:{1,4,5}:{(284,1),(285,1),(306,1),(309,1)}
       301:{3,4,7}:{(286,1),(308,1),(310,1)}
       302:{2,4,5,7}:{(286,1),(287,1),(289,1),(309,1),(310,1),(311,1)}
       303:{1,4,6}:{(287,1),(288,1),(290,1),(311,1)}
       304:{2,5,6}:{(289,1),(290,1),(307,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(296,1),(312,1)}
       306:{1,3,5}:{(294,1),(295,1),(300,1),(312,1),(313,1)}
       307:{2,6}:{(297,1),(298,1)}
       308:{3,4,6}:{(299,1),(301,1),(313,1),(314,1)}
       309:{2,4,5}:{(299,1),(300,1),(312,1),(313,1)}
       310:{3,5,7}:{(301,1),(302,1),(313,1),(314,1)}
       311:{2,4,6}:{(302,1),(303,1),(304,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

1425 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(36,1),(46,1),(89,1),(99,1),(104,1),(106,1),(144,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(66,1),(75,1),(77,1),(121,1),(128,1),(134,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(69,1),(126,1),(172,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(14,1),(35,1),(52,1),(83,1),(103,1),(140,1),(145,1),(147,1),(150,1),(241,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(48,1),(101,1),(104,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(50,1),(52,1),(150,1),(163,1),(164,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(53,1),(149,1),(156,1),(201,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(89,1),(143,1)}
         8:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(22,1),(59,1),(66,1),(115,1),(117,1),(121,1),(168,1),(174,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(18,1),(20,1),(21,1),(109,1),(132,1),(166,1),(177,1)}
        10:{1,2,4,6,7}:{(5,1),(19,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(69,1),(126,1),(127,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(27,1),(28,1),(75,1),(131,1),(134,1)}
        13:{2,4,6}:{(4,1),(7,1),(28,1),(29,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(30,1),(75,1),(122,1),(189,1),(212,1)}
        15:{2,5,7}:{(5,1),(6,1),(27,1),(177,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(28,1),(31,1),(66,1),(120,1)}
        17:{3,4,5,7}:{(7,1),(29,1),(69,1),(117,1),(172,1)}
        18:{2,3,5,6}:{(9,1),(34,1),(35,1),(85,1),(142,1),(145,1)}
        19:{2,4,6,7}:{(8,1),(36,1),(37,1),(87,1),(89,1),(150,1),(199,1),(200,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(34,1),(37,1),(38,1),(90,1),(149,1),(192,1),(201,1)}
        21:{2,4,5,7}:{(9,1),(35,1),(38,1),(39,1),(52,1),(102,1)}
        22:{1,3,6,7}:{(10,1),(14,1),(36,1),(41,1),(93,1),(151,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(15,1),(37,1),(40,1),(41,1),(156,1),(192,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(44,1),(45,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(43,1),(45,1),(46,1)}
        26:{2,4,5,6}:{(13,1),(43,1),(47,1),(48,1),(101,1),(143,1),(207,1)}
        27:{2,5,6}:{(12,1),(15,1),(50,1),(163,1)}
        28:{1,4,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{3,4,6}:{(13,1),(17,1),(48,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(41,1),(49,1),(52,1),(53,1),(226,1),(241,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(50,1),(52,1),(53,1),(102,1)}
        32:{1,3,4,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1),(94,1),(97,1),(107,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        33:{2,3,5,6,7}:{(18,1),(55,1),(56,1),(109,1),(166,1),(167,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(58,1),(59,1),(115,1),(171,1),(174,1)}
        35:{2,4,6}:{(18,1),(21,1),(59,1),(60,1)}
        36:{2,3,6,7}:{(19,1),(22,1),(61,1),(115,1),(122,1),(183,1),(218,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(177,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(59,1),(62,1),(66,1),(120,1)}
        39:{3,4,5,7}:{(21,1),(60,1),(77,1),(109,1),(132,1)}
        40:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(65,1),(131,1),(171,1),(177,1),(179,1),(186,1),(215,1),(219,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(30,1),(61,1),(64,1),(66,1)}
        42:{1,2,4,5,7}:{(23,1),(31,1),(62,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(123,1),(136,1),(176,1),(177,1),(180,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(68,1),(69,1),(126,1),(221,1)}
        44:{2,5,6,7}:{(24,1),(27,1),(70,1),(126,1),(183,1)}
        45:{1,4,6,7}:{(24,1),(25,1),(28,1),(68,1),(70,1)}
        46:{3,4,6,7}:{(25,1),(29,1),(69,1)}
        47:{1,4,5,6}:{(26,1),(28,1),(68,1),(72,1),(73,1),(120,1),(131,1),(185,1)}
        48:{3,5,6}:{(26,1),(29,1),(69,1),(172,1),(223,1)}
        49:{2,3,5,6}:{(27,1),(30,1),(64,1),(74,1),(75,1),(122,1),(132,1),(177,1),(215,1),(237,1),(238,1)}
        50:{2,4,6}:{(27,1),(28,1),(31,1),(75,1)}
        51:{1,3,4,6}:{(28,1),(29,1),(32,1),(73,1),(75,1),(76,1),(129,1),(134,1),(185,1),(223,1)}
        52:{2,4,7}:{(30,1),(66,1),(74,1),(77,1)}
        53:{3,5,7}:{(31,1),(75,1),(77,1),(132,1)}
        54:{2,4,5,7}:{(32,1),(76,1),(78,1),(79,1),(123,1),(126,1),(136,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        55:{1,3,5,6,7}:{(33,1),(34,1),(81,1),(82,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(35,1),(80,1),(82,1),(83,1)}
        57:{2,4,5,6}:{(35,1),(80,1),(84,1),(85,1),(102,1),(142,1),(228,1)}
        58:{2,5,6}:{(34,1),(37,1),(87,1),(199,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        60:{3,4,6}:{(35,1),(39,1),(85,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(41,1),(86,1),(89,1),(90,1),(205,1),(232,1)}
        62:{2,4,5,7}:{(37,1),(38,1),(87,1),(89,1),(90,1),(143,1)}
        63:{1,3,4,5,7}:{(38,1),(39,1),(88,1),(90,1),(91,1),(94,1),(138,1),(148,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(49,1),(86,1),(92,1),(93,1),(149,1),(151,1),(201,1),(231,1)}
        65:{1,2,4,6}:{(40,1),(42,1),(50,1),(87,1),(92,1),(93,1),(105,1),(146,1),(150,1),(163,1),(199,1),(207,1),(228,1)}
        66:{1,4,7}:{(41,1),(52,1),(89,1),(92,1)}
        67:{1,3,5,7}:{(42,1),(53,1),(90,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{1,4,5,7}:{(43,1),(45,1),(47,1),(96,1),(97,1),(156,1),(204,1)}
        69:{3,5,7}:{(43,1),(46,1),(48,1),(232,1)}
        70:{2,4,6,7}:{(44,1),(45,1),(50,1),(96,1),(98,1)}
        71:{1,3,4,6,7}:{(45,1),(46,1),(51,1),(97,1),(98,1),(99,1),(154,1),(157,1),(204,1),(232,1)}
        72:{2,4,5,6}:{(47,1),(50,1),(96,1),(100,1),(101,1),(102,1),(159,1)}
        73:{1,3,5,6}:{(47,1),(48,1),(51,1),(97,1),(100,1),(101,1),(149,1)}
        74:{2,4,6}:{(49,1),(52,1),(92,1),(102,1),(103,1),(243,1)}
        75:{3,6}:{(50,1),(53,1)}
        76:{2,4,6}:{(51,1),(54,1),(101,1),(104,1),(105,1),(163,1)}
        77:{3,4,7}:{(52,1),(53,1),(103,1),(241,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(161,1),(232,1),(233,1)}
        79:{1,4,5,7}:{(54,1),(105,1),(107,1),(152,1),(156,1),(201,1),(204,1),(206,1)}
        80:{2,4,5,7}:{(56,1),(57,1),(108,1),(109,1),(166,1),(235,1)}
        81:{2,5,6,7}:{(55,1),(58,1),(110,1),(166,1),(212,1)}
        82:{1,4,6,7}:{(55,1),(56,1),(59,1),(108,1),(110,1)}
        83:{3,4,6,7}:{(56,1),(60,1),(109,1)}
        84:{1,4,5,6}:{(57,1),(59,1),(108,1),(112,1),(113,1),(120,1),(171,1),(214,1)}
        85:{3,5,6}:{(57,1),(60,1),(109,1),(132,1),(237,1)}
        86:{2,3,5,6}:{(58,1),(61,1),(64,1),(114,1),(115,1),(122,1),(172,1),(177,1),(186,1),(223,1),(224,1)}
        87:{2,4,6}:{(58,1),(59,1),(62,1),(115,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(63,1),(113,1),(115,1),(116,1),(169,1),(174,1),(214,1),(237,1)}
        89:{2,4,7}:{(61,1),(66,1),(114,1),(117,1)}
        90:{3,5,7}:{(62,1),(115,1),(117,1),(172,1)}
        91:{2,4,5,7}:{(63,1),(116,1),(118,1),(119,1),(123,1),(166,1),(176,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        92:{1,4,6}:{(64,1),(66,1),(74,1),(114,1),(120,1),(239,1)}
        93:{1,3,6}:{(65,1),(67,1),(75,1),(115,1),(122,1),(223,1),(237,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(77,1),(117,1),(121,1),(123,1),(239,1),(240,1),(244,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(136,1),(176,1),(177,1),(189,1),(218,1),(224,1),(238,1)}
        96:{2,4,5,7}:{(68,1),(70,1),(72,1),(125,1),(126,1),(181,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(125,1),(126,1)}
        98:{3,6,7}:{(70,1),(75,1),(125,1)}
        99:{2,4,6,7}:{(71,1),(76,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{3,5,6}:{(72,1),(75,1),(125,1),(129,1),(132,1)}
       101:{2,5,6}:{(73,1),(76,1),(126,1),(131,1),(177,1)}
       102:{2,4,5}:{(74,1),(120,1),(132,1),(177,1)}
       103:{3,4,6}:{(74,1),(75,1),(77,1),(132,1),(237,1),(244,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(223,1)}
       105:{1,4,6}:{(76,1),(79,1),(131,1),(134,1)}
       106:{2,3,4,7}:{(77,1),(78,1),(123,1),(133,1),(135,1),(181,1),(218,1),(240,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(134,1),(135,1),(136,1),(187,1)}
       108:{1,4,5,7}:{(80,1),(82,1),(84,1),(137,1),(138,1),(192,1),(225,1)}
       109:{3,5,7}:{(80,1),(83,1),(85,1),(241,1)}
       110:{2,4,6,7}:{(81,1),(82,1),(87,1),(137,1),(139,1)}
       111:{1,3,4,6,7}:{(82,1),(83,1),(88,1),(138,1),(139,1),(140,1),(190,1),(193,1),(225,1),(241,1)}
       112:{2,4,5,6}:{(84,1),(87,1),(137,1),(141,1),(142,1),(143,1),(195,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(88,1),(138,1),(141,1),(142,1),(149,1)}
       114:{2,4,6}:{(86,1),(89,1),(92,1),(143,1),(144,1),(234,1)}
       115:{3,6}:{(87,1),(90,1)}
       116:{2,4,6}:{(88,1),(91,1),(142,1),(145,1),(146,1),(199,1)}
       117:{3,4,7}:{(89,1),(90,1),(144,1),(232,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(145,1),(147,1),(148,1),(197,1),(241,1),(242,1)}
       119:{1,4,5,7}:{(91,1),(146,1),(148,1),(152,1),(192,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(102,1),(143,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(103,1),(144,1),(149,1),(150,1)}
       122:{2,3,6}:{(93,1),(95,1),(150,1),(151,1),(163,1),(199,1)}
       123:{2,4,7}:{(94,1),(95,1),(150,1),(152,1),(234,1),(243,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(98,1),(100,1),(154,1)}
       126:{2,5,7}:{(97,1),(99,1),(101,1),(156,1)}
       127:{2,3,6,7}:{(98,1),(99,1),(104,1),(155,1),(157,1),(232,1)}
       128:{1,4,6,7}:{(99,1),(105,1),(156,1),(157,1),(204,1)}
       129:{3,4,6}:{(100,1),(154,1),(158,1),(159,1)}
       130:{2,3,5,6}:{(100,1),(101,1),(104,1),(155,1),(159,1),(160,1),(161,1)}
       131:{1,5,6}:{(101,1),(105,1),(156,1),(201,1)}
       132:{3,5}:{(102,1),(103,1)}
       133:{2,3,4,6}:{(103,1),(104,1),(106,1),(150,1),(159,1),(161,1),(162,1),(230,1),(243,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(163,1)}
       135:{1,3,4,7}:{(106,1),(107,1),(152,1),(162,1),(164,1),(203,1),(204,1),(232,1)}
       136:{2,5,7}:{(107,1),(163,1),(164,1),(208,1)}
       137:{2,4,5,7}:{(108,1),(110,1),(112,1),(165,1),(166,1),(210,1)}
       138:{1,3,5,7}:{(108,1),(109,1),(111,1),(113,1),(165,1),(166,1)}
       139:{3,6,7}:{(110,1),(115,1),(165,1)}
       140:{2,4,6,7}:{(111,1),(116,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{3,5,6}:{(112,1),(115,1),(165,1),(169,1),(172,1)}
       142:{2,5,6}:{(113,1),(116,1),(166,1),(171,1),(177,1)}
       143:{2,4,5}:{(114,1),(120,1),(172,1),(177,1)}
       144:{3,4,6}:{(114,1),(115,1),(117,1),(172,1),(223,1),(240,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(237,1)}
       146:{1,4,6}:{(116,1),(119,1),(171,1),(174,1)}
       147:{2,3,4,7}:{(117,1),(118,1),(123,1),(173,1),(175,1),(189,1),(210,1),(244,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(174,1),(175,1),(176,1),(216,1)}
       149:{1,3,5}:{(120,1),(121,1),(132,1),(172,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,3,6}:{(122,1),(124,1),(178,1),(179,1)}
       152:{1,4,7}:{(123,1),(124,1),(178,1),(239,1)}
       153:{1,2,5,7}:{(124,1),(136,1),(176,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(129,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(130,1),(181,1),(182,1)}
       156:{1,5,7}:{(126,1),(128,1),(131,1)}
       157:{1,3,6,7}:{(127,1),(128,1),(134,1),(182,1),(183,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,4,6}:{(129,1),(130,1),(181,1),(184,1),(185,1)}
       160:{1,3,5,6}:{(130,1),(131,1),(134,1),(182,1),(185,1),(186,1),(187,1),(223,1)}
       161:{2,3,5}:{(132,1),(133,1),(177,1),(184,1),(187,1)}
       162:{1,3,4,6}:{(133,1),(134,1),(135,1),(178,1),(185,1),(187,1),(188,1),(220,1),(223,1),(239,1),(240,1)}
       163:{2,6}:{(134,1),(136,1)}
       164:{2,4,7}:{(135,1),(136,1),(188,1),(189,1)}
       165:{3,5,7}:{(137,1),(139,1),(141,1),(190,1)}
       166:{2,5,7}:{(138,1),(140,1),(142,1),(192,1)}
       167:{2,3,6,7}:{(139,1),(140,1),(145,1),(191,1),(193,1),(241,1)}
       168:{1,4,6,7}:{(140,1),(146,1),(192,1),(193,1),(225,1)}
       169:{3,4,6}:{(141,1),(190,1),(194,1),(195,1)}
       170:{2,3,5,6}:{(141,1),(142,1),(145,1),(191,1),(195,1),(196,1),(197,1)}
       171:{1,5,6}:{(142,1),(146,1),(192,1),(201,1)}
       172:{3,5}:{(143,1),(144,1)}
       173:{2,3,4,6}:{(144,1),(145,1),(147,1),(150,1),(195,1),(197,1),(198,1),(209,1),(234,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(199,1)}
       175:{1,3,4,7}:{(147,1),(148,1),(152,1),(198,1),(200,1),(203,1),(225,1),(241,1)}
       176:{2,5,7}:{(148,1),(199,1),(200,1),(229,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(151,1),(153,1),(163,1),(199,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(164,1),(200,1),(202,1),(203,1)}
       181:{2,4,7}:{(154,1),(155,1),(159,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(157,1),(163,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(161,1),(206,1),(243,1)}
       185:{1,4,6}:{(159,1),(160,1),(204,1),(206,1),(207,1)}
       186:{2,5,6}:{(160,1),(163,1),(205,1),(207,1),(208,1)}
       187:{1,3,5}:{(161,1),(162,1),(201,1),(206,1),(208,1),(233,1)}
       188:{2,4,6}:{(162,1),(163,1),(164,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(203,1),(209,1),(232,1)}
       190:{3,4,7}:{(165,1),(169,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(170,1),(210,1),(211,1)}
       192:{1,5,7}:{(166,1),(168,1),(171,1)}
       193:{1,3,6,7}:{(167,1),(168,1),(174,1),(211,1),(212,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,4,6}:{(169,1),(170,1),(210,1),(213,1),(214,1)}
       196:{1,3,5,6}:{(170,1),(171,1),(174,1),(211,1),(214,1),(215,1),(216,1),(237,1)}
       197:{2,3,5}:{(172,1),(173,1),(177,1),(213,1),(216,1)}
       198:{1,3,4,6}:{(173,1),(174,1),(175,1),(178,1),(214,1),(216,1),(217,1),(220,1),(237,1),(239,1),(244,1)}
       199:{2,6}:{(174,1),(176,1)}
       200:{2,4,7}:{(175,1),(176,1),(217,1),(218,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(188,1),(217,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(180,1),(189,1),(218,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(185,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(186,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(187,1),(222,1),(239,1)}
       207:{2,4,6}:{(185,1),(186,1),(221,1),(222,1),(223,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(220,1),(223,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(195,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(196,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(193,1),(199,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(197,1),(227,1),(234,1)}
       214:{1,4,6}:{(195,1),(196,1),(225,1),(227,1),(228,1)}
       215:{2,5,6}:{(196,1),(199,1),(226,1),(228,1),(229,1)}
       216:{1,3,5}:{(197,1),(198,1),(201,1),(227,1),(229,1),(242,1)}
       217:{2,4,6}:{(198,1),(199,1),(200,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(203,1),(230,1),(241,1)}
       219:{1,2,5}:{(201,1),(202,1),(208,1),(229,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(209,1),(230,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(207,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(208,1),(233,1),(234,1)}
       223:{3,6}:{(207,1),(232,1),(233,1)}
       224:{2,3,5}:{(208,1),(209,1),(231,1),(233,1),(234,1)}
       225:{1,4,7}:{(210,1),(211,1),(214,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(215,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(216,1),(236,1),(239,1)}
       228:{2,4,6}:{(214,1),(215,1),(235,1),(236,1),(237,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(224,1),(238,1),(239,1)}
       232:{3,7}:{(221,1),(223,1)}
       233:{3,5}:{(222,1),(223,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(228,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       237:{3,6}:{(228,1),(241,1),(242,1)}
       238:{2,3,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1426 :   0:{2,3,4}:{(2,1),(3,1),(51,1),(91,1)}
         1:{3,4,5}:{(6,1),(7,1),(106,1),(134,1)}
         2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
         3:{1,3,4}:{(0,1),(9,1),(10,1),(32,1),(74,1),(80,1)}
         4:{2,3,4}:{(12,1),(13,1),(24,1),(62,1)}
         5:{4,5,6}:{(16,1),(17,1),(142,1),(152,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,4,5}:{(1,1),(2,1),(19,1),(20,1),(91,1),(123,1)}
         8:{2,3,6}:{(2,1),(19,1),(21,1),(22,1)}
         9:{1,3,5}:{(2,1),(3,1),(20,1),(22,1),(23,1),(59,1)}
        10:{2,4}:{(3,1),(23,1),(24,1)}
        11:{3,4,5}:{(26,1),(27,1),(80,1),(115,1)}
        12:{2,3,5}:{(4,1),(27,1),(28,1),(29,1)}
        13:{1,3,4}:{(4,1),(29,1),(30,1),(32,1),(74,1),(106,1)}
        14:{1,2,4}:{(10,1),(30,1),(31,1),(32,1),(74,1)}
        15:{5,6,7}:{(33,1),(153,1)}
        16:{4,5,7}:{(5,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(6,1),(34,1),(35,1),(134,1),(149,1)}
        18:{3,4,7}:{(6,1),(34,1),(36,1)}
        19:{2,4,6}:{(6,1),(7,1),(8,1),(35,1),(36,1),(37,1)}
        20:{1,4,5}:{(7,1),(9,1),(37,1),(38,1),(74,1),(110,1)}
        21:{2,3,7}:{(8,1),(36,1),(39,1)}
        22:{1,3,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(79,1)}
        23:{2,5}:{(9,1),(10,1),(40,1)}
        24:{2,3}:{(10,1),(32,1)}
        25:{4,5,6}:{(43,1),(44,1),(127,1),(146,1)}
        26:{3,4,6}:{(11,1),(44,1),(45,1),(46,1)}
        27:{2,4,5}:{(11,1),(12,1),(46,1),(47,1),(62,1),(100,1)}
        28:{2,3,6}:{(12,1),(46,1),(48,1),(49,1)}
        29:{1,3,5}:{(12,1),(13,1),(47,1),(49,1),(50,1),(88,1)}
        30:{2,4}:{(13,1),(50,1),(51,1)}
        31:{1,2,5}:{(14,1),(23,1),(50,1),(52,1),(53,1)}
        32:{1,3}:{(14,1),(24,1),(51,1)}
        33:{4,6,7}:{(15,1),(16,1),(54,1),(152,1)}
        34:{3,5,7}:{(16,1),(17,1),(18,1),(54,1),(55,1)}
        35:{2,5,6}:{(17,1),(19,1),(55,1),(56,1),(123,1),(144,1)}
        36:{2,4,7}:{(18,1),(19,1),(21,1),(55,1),(57,1)}
        37:{1,4,6}:{(19,1),(20,1),(22,1),(56,1),(57,1),(58,1)}
        38:{2,4,5}:{(20,1),(23,1),(58,1),(59,1),(62,1),(100,1),(127,1)}
        39:{1,3,7}:{(21,1),(22,1),(57,1),(60,1),(97,1)}
        40:{2,6}:{(22,1),(23,1),(60,1)}
        41:{2,3,5}:{(23,1),(24,1),(53,1),(59,1),(61,1),(62,1),(100,1)}
        42:{5,6,7}:{(63,1),(150,1)}
        43:{4,5,7}:{(25,1),(63,1),(64,1)}
        44:{3,5,6}:{(25,1),(26,1),(64,1),(65,1),(115,1),(139,1)}
        45:{3,4,7}:{(26,1),(64,1),(66,1)}
        46:{2,4,6}:{(26,1),(27,1),(28,1),(65,1),(66,1),(67,1)}
        47:{1,4,5}:{(27,1),(29,1),(67,1),(68,1),(74,1),(110,1)}
        48:{2,3,7}:{(28,1),(66,1),(69,1)}
        49:{1,3,6}:{(28,1),(29,1),(67,1),(69,1),(70,1),(105,1)}
        50:{2,5}:{(29,1),(30,1),(70,1)}
        51:{2,3}:{(30,1),(32,1)}
        52:{1,2,6}:{(31,1),(40,1),(70,1),(72,1),(73,1)}
        53:{1,3,5}:{(31,1),(32,1),(41,1),(71,1),(73,1),(74,1),(110,1)}
        54:{3,6,7}:{(33,1),(34,1),(75,1),(149,1)}
        55:{2,5,7}:{(34,1),(35,1),(36,1),(75,1),(76,1)}
        56:{1,5,6}:{(35,1),(37,1),(76,1),(77,1),(110,1),(136,1)}
        57:{1,4,7}:{(36,1),(37,1),(39,1),(76,1),(78,1)}
        58:{2,4,6}:{(37,1),(38,1),(40,1),(77,1),(78,1),(79,1),(113,1)}
        59:{3,5}:{(38,1),(79,1),(80,1)}
        60:{2,7}:{(39,1),(40,1)}
        61:{2,3,6}:{(40,1),(41,1),(73,1),(79,1),(81,1),(82,1)}
        62:{2,4}:{(41,1),(74,1),(80,1)}
        63:{4,6,7}:{(42,1),(43,1),(83,1),(146,1)}
        64:{3,5,7}:{(43,1),(44,1),(45,1),(83,1),(84,1)}
        65:{2,5,6}:{(44,1),(46,1),(84,1),(85,1),(100,1),(129,1)}
        66:{2,4,7}:{(45,1),(46,1),(48,1),(84,1),(86,1)}
        67:{1,4,6}:{(46,1),(47,1),(49,1),(85,1),(86,1),(87,1)}
        68:{2,4,5}:{(47,1),(50,1),(87,1),(88,1),(91,1),(123,1),(142,1)}
        69:{1,3,7}:{(48,1),(49,1),(86,1),(89,1),(120,1)}
        70:{2,6}:{(49,1),(50,1),(89,1)}
        71:{2,3,5}:{(50,1),(51,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{1,2,7}:{(52,1),(60,1),(89,1),(92,1)}
        73:{1,3,6}:{(52,1),(53,1),(61,1),(90,1),(92,1),(93,1)}
        74:{1,4}:{(53,1),(62,1),(91,1)}
        75:{2,6,7}:{(54,1),(55,1),(94,1),(144,1)}
        76:{1,5,7}:{(55,1),(56,1),(57,1),(94,1),(95,1)}
        77:{2,5,6}:{(56,1),(58,1),(95,1),(96,1),(100,1),(129,1)}
        78:{2,4,7}:{(57,1),(58,1),(60,1),(95,1),(97,1),(126,1)}
        79:{3,6}:{(58,1),(59,1),(97,1)}
        80:{3,4}:{(59,1),(62,1)}
        81:{2,3,7}:{(60,1),(61,1),(92,1),(97,1),(99,1)}
        82:{2,4,6}:{(61,1),(62,1),(93,1),(98,1),(99,1),(100,1),(129,1)}
        83:{3,6,7}:{(63,1),(64,1),(101,1),(139,1)}
        84:{2,5,7}:{(64,1),(65,1),(66,1),(101,1),(102,1)}
        85:{1,5,6}:{(65,1),(67,1),(102,1),(103,1),(110,1),(136,1)}
        86:{1,4,7}:{(66,1),(67,1),(69,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(70,1),(103,1),(104,1),(105,1),(132,1)}
        88:{3,5}:{(68,1),(105,1),(106,1)}
        89:{2,7}:{(69,1),(70,1)}
        90:{2,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{2,4}:{(71,1),(74,1),(106,1)}
        92:{1,3,7}:{(72,1),(73,1),(81,1),(107,1),(109,1)}
        93:{1,4,6}:{(73,1),(74,1),(82,1),(108,1),(109,1),(110,1),(136,1)}
        94:{1,6,7}:{(75,1),(76,1),(111,1),(136,1)}
        95:{2,5,7}:{(76,1),(77,1),(78,1),(111,1),(112,1)}
        96:{3,5,6}:{(77,1),(79,1),(112,1),(113,1),(115,1),(139,1),(150,1)}
        97:{3,7}:{(78,1),(79,1)}
        98:{3,4,6}:{(79,1),(80,1),(82,1),(113,1),(114,1),(115,1),(139,1)}
        99:{2,4,7}:{(81,1),(82,1),(109,1),(114,1),(116,1)}
       100:{2,5}:{(82,1),(110,1),(115,1)}
       101:{2,6,7}:{(83,1),(84,1),(117,1),(129,1)}
       102:{1,5,7}:{(84,1),(85,1),(86,1),(117,1),(118,1)}
       103:{2,5,6}:{(85,1),(87,1),(118,1),(119,1),(123,1),(144,1)}
       104:{2,4,7}:{(86,1),(87,1),(89,1),(118,1),(120,1),(141,1)}
       105:{3,6}:{(87,1),(88,1),(120,1)}
       106:{3,4}:{(88,1),(91,1)}
       107:{2,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{2,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(144,1)}
       109:{1,4,7}:{(92,1),(93,1),(99,1),(122,1),(124,1)}
       110:{1,5}:{(93,1),(100,1),(123,1)}
       111:{2,6,7}:{(94,1),(95,1),(125,1),(129,1)}
       112:{3,5,7}:{(95,1),(96,1),(97,1),(125,1),(126,1),(145,1)}
       113:{4,6}:{(96,1),(126,1),(127,1)}
       114:{3,4,7}:{(97,1),(98,1),(99,1),(126,1),(128,1)}
       115:{3,5}:{(98,1),(100,1),(127,1)}
       116:{2,5,7}:{(99,1),(100,1),(124,1),(128,1),(129,1)}
       117:{1,6,7}:{(101,1),(102,1),(130,1),(136,1)}
       118:{2,5,7}:{(102,1),(103,1),(104,1),(130,1),(131,1)}
       119:{3,5,6}:{(103,1),(105,1),(131,1),(132,1),(134,1),(149,1),(153,1)}
       120:{3,7}:{(104,1),(105,1)}
       121:{3,4,6}:{(105,1),(106,1),(108,1),(132,1),(133,1),(134,1),(149,1)}
       122:{2,4,7}:{(107,1),(108,1),(109,1),(133,1),(135,1)}
       123:{2,5}:{(108,1),(110,1),(134,1)}
       124:{1,5,7}:{(109,1),(110,1),(116,1),(135,1),(136,1)}
       125:{3,6,7}:{(111,1),(112,1),(137,1),(139,1)}
       126:{4,7}:{(112,1),(113,1)}
       127:{4,5}:{(113,1),(115,1)}
       128:{3,5,7}:{(114,1),(115,1),(116,1),(138,1),(139,1)}
       129:{2,6}:{(116,1),(136,1),(139,1)}
       130:{2,6,7}:{(117,1),(118,1),(140,1),(144,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1),(151,1)}
       132:{4,6}:{(119,1),(141,1),(142,1)}
       133:{3,4,7}:{(120,1),(121,1),(122,1),(141,1),(143,1)}
       134:{3,5}:{(121,1),(123,1),(142,1)}
       135:{2,5,7}:{(122,1),(123,1),(124,1),(143,1),(144,1)}
       136:{1,6}:{(124,1),(129,1),(144,1)}
       137:{4,6,7}:{(125,1),(126,1),(145,1),(146,1)}
       138:{4,5,7}:{(126,1),(127,1),(128,1),(145,1),(146,1)}
       139:{3,6}:{(128,1),(129,1),(146,1)}
       140:{3,6,7}:{(130,1),(131,1),(147,1),(149,1)}
       141:{4,7}:{(131,1),(132,1)}
       142:{4,5}:{(132,1),(134,1)}
       143:{3,5,7}:{(133,1),(134,1),(135,1),(148,1),(149,1)}
       144:{2,6}:{(135,1),(136,1),(149,1)}
       145:{5,7}:{(137,1),(150,1)}
       146:{4,6}:{(138,1),(139,1),(150,1)}
       147:{4,6,7}:{(140,1),(141,1),(151,1),(152,1)}
       148:{4,5,7}:{(141,1),(142,1),(143,1),(151,1),(152,1)}
       149:{3,6}:{(143,1),(144,1),(152,1)}
       150:{5,6}:{(145,1),(146,1)}
       151:{5,7}:{(147,1),(153,1)}
       152:{4,6}:{(148,1),(149,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1427 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(5,1),(6,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(75,1),(122,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(11,1)}
         4:{4,5,6,7}:{(12,1),(123,1)}
         5:{3,4,6,7}:{(1,1),(12,1),(13,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(92,1),(116,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(15,1),(60,1),(118,1)}
         8:{2,3,4,5}:{(9,1),(16,1),(67,1),(93,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(17,1),(18,1),(69,1),(75,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(19,1),(20,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(20,1),(21,1),(25,1)}
        12:{3,5,6,7}:{(4,1),(5,1),(22,1),(120,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(20,1),(23,1),(24,1),(77,1),(108,1)}
        15:{2,4,5,6}:{(7,1),(21,1),(24,1),(25,1),(46,1),(110,1),(111,1)}
        16:{1,3,4,5}:{(8,1),(18,1),(26,1),(50,1),(51,1),(78,1)}
        17:{2,3,4,7}:{(9,1),(10,1),(27,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(11,1),(16,1),(27,1),(28,1),(36,1),(54,1),(60,1)}
        19:{2,3,6,7}:{(10,1),(13,1),(30,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(35,1)}
        21:{2,5,6}:{(11,1),(28,1),(31,1)}
        22:{2,5,6,7}:{(12,1),(13,1),(33,1),(116,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(30,1),(33,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(15,1),(31,1),(34,1),(35,1),(62,1),(96,1),(98,1)}
        25:{3,5,6}:{(15,1),(35,1),(36,1)}
        26:{2,4,5}:{(16,1),(28,1),(38,1)}
        27:{1,3,4,7}:{(17,1),(18,1),(20,1),(40,1),(49,1),(70,1),(77,1)}
        28:{2,4,6}:{(18,1),(21,1),(26,1),(40,1),(41,1)}
        29:{1,2,5,6}:{(21,1),(39,1),(42,1),(43,1),(101,1),(119,1)}
        30:{1,3,6,7}:{(19,1),(20,1),(23,1),(44,1),(48,1)}
        31:{2,5,7}:{(20,1),(21,1),(40,1),(44,1)}
        32:{2,3,5,6}:{(21,1),(25,1),(41,1),(43,1),(45,1),(46,1),(73,1),(103,1),(110,1)}
        33:{1,5,6,7}:{(22,1),(23,1),(47,1),(108,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(44,1),(47,1),(48,1),(81,1)}
        35:{3,5,7}:{(24,1),(25,1),(48,1),(49,1)}
        36:{3,4,6}:{(25,1),(46,1),(49,1),(50,1)}
        37:{1,2,4,5}:{(26,1),(39,1),(51,1),(78,1),(84,1),(101,1)}
        38:{2,3,5}:{(26,1),(41,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(28,1),(29,1),(37,1),(53,1),(54,1),(60,1),(86,1)}
        40:{2,4,7}:{(27,1),(28,1),(31,1),(55,1)}
        41:{2,3,6}:{(28,1),(38,1),(54,1),(55,1)}
        42:{1,2,5,7}:{(29,1),(31,1),(53,1),(58,1),(59,1),(112,1)}
        43:{1,3,5,6}:{(29,1),(32,1),(54,1),(57,1),(59,1),(60,1),(88,1),(113,1),(118,1)}
        44:{2,6,7}:{(30,1),(31,1)}
        45:{2,3,5,7}:{(31,1),(32,1),(35,1),(55,1),(59,1),(61,1),(62,1),(96,1)}
        46:{2,4,6}:{(32,1),(36,1),(60,1),(62,1),(63,1)}
        47:{2,5,6,7}:{(33,1),(34,1),(64,1),(96,1)}
        48:{3,6,7}:{(34,1),(35,1)}
        49:{3,4,7}:{(35,1),(36,1),(62,1)}
        50:{3,4,5}:{(36,1),(63,1)}
        51:{1,3,5}:{(37,1),(38,1),(54,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(42,1),(70,1),(77,1),(100,1)}
        54:{1,3,6}:{(39,1),(41,1),(51,1),(69,1),(70,1)}
        55:{2,3,7}:{(40,1),(41,1),(70,1)}
        56:{2,3,4,6}:{(41,1),(46,1),(52,1),(71,1),(72,1),(73,1),(103,1)}
        57:{2,3,5,6}:{(43,1),(69,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        58:{1,2,6,7}:{(42,1),(44,1),(76,1),(119,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(70,1),(74,1),(76,1),(77,1),(108,1)}
        60:{1,4,6}:{(43,1),(46,1),(75,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(79,1),(103,1)}
        62:{2,4,7}:{(45,1),(46,1),(49,1),(77,1)}
        63:{2,4,5}:{(46,1),(50,1),(73,1),(78,1)}
        64:{3,5,6,7}:{(47,1),(48,1),(81,1),(82,1)}
        65:{3,4,6,7}:{(48,1),(49,1),(79,1),(81,1),(82,1),(83,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5}:{(51,1),(69,1),(84,1),(101,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{2,3,6}:{(54,1),(67,1),(85,1),(86,1)}
        70:{1,3,7}:{(53,1),(54,1),(55,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(60,1),(68,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        72:{2,3,4,7}:{(55,1),(56,1),(62,1),(87,1),(89,1)}
        73:{2,3,5}:{(56,1),(63,1),(88,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        75:{2,4,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        76:{1,3,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(113,1)}
        77:{1,4,7}:{(59,1),(60,1),(62,1),(92,1)}
        78:{1,4,5}:{(60,1),(63,1),(88,1),(93,1)}
        79:{2,4,6,7}:{(61,1),(62,1),(65,1),(94,1),(96,1),(97,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(66,1),(89,1),(95,1),(96,1),(97,1)}
        81:{4,6,7}:{(64,1),(98,1)}
        82:{3,5,7}:{(65,1),(96,1),(98,1),(99,1)}
        83:{3,4,6}:{(66,1),(97,1),(99,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,3,7}:{(69,1),(70,1),(100,1)}
        86:{2,4,6}:{(69,1),(71,1),(84,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(70,1),(71,1),(72,1),(77,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(71,1),(73,1),(78,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(74,1),(76,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(74,1),(75,1),(77,1),(104,1)}
        93:{2,4,5}:{(75,1),(78,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(79,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(79,1),(82,1),(108,1),(110,1)}
        97:{2,4,6}:{(80,1),(83,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(81,1),(82,1),(111,1)}
        99:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1428 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(101,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(105,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(86,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(91,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(16,1),(17,1),(97,1),(101,1)}
        10:{2,3,6,7}:{(6,1),(16,1),(18,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(17,1),(18,1),(19,1)}
        12:{2,5,6,7}:{(7,1),(19,1),(20,1),(70,1)}
        13:{2,3,5,6}:{(8,1),(16,1),(21,1),(22,1)}
        14:{1,4,5,6}:{(8,1),(17,1),(22,1),(23,1),(75,1),(102,1)}
        15:{2,3,4,5}:{(21,1),(24,1),(77,1),(106,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(13,1),(25,1),(26,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(14,1),(26,1),(27,1),(82,1),(86,1)}
        18:{1,3,6,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(30,1)}
        20:{3,5,6,7}:{(12,1),(29,1),(30,1),(54,1)}
        21:{2,3,4,6}:{(13,1),(15,1),(25,1),(31,1),(88,1),(91,1)}
        22:{1,3,5,6}:{(13,1),(14,1),(26,1),(31,1),(32,1),(33,1)}
        23:{2,4,5,6}:{(14,1),(27,1),(32,1),(33,1),(55,1),(59,1),(87,1)}
        24:{1,3,4,5}:{(15,1),(31,1),(34,1),(60,1),(61,1),(92,1)}
        25:{2,3,4,7}:{(16,1),(21,1),(35,1),(94,1),(97,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(18,1),(22,1),(35,1),(36,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(19,1),(23,1),(36,1),(37,1),(41,1),(66,1),(70,1)}
        28:{2,6,7}:{(18,1),(36,1)}
        29:{3,6,7}:{(19,1),(37,1)}
        30:{4,6,7}:{(20,1),(41,1)}
        31:{1,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(42,1),(45,1),(72,1),(75,1)}
        32:{2,5,6}:{(22,1),(36,1),(42,1)}
        33:{3,5,6}:{(23,1),(37,1),(45,1)}
        34:{2,4,5}:{(24,1),(42,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(31,1),(48,1),(51,1),(79,1),(82,1)}
        36:{2,5,7}:{(26,1),(28,1),(32,1),(48,1)}
        37:{3,5,7}:{(27,1),(29,1),(33,1),(51,1)}
        38:{1,2,6,7}:{(28,1),(49,1),(52,1),(123,1)}
        39:{2,3,6,7}:{(28,1),(29,1),(50,1),(52,1),(53,1),(109,1)}
        40:{3,4,6,7}:{(29,1),(30,1),(51,1),(53,1),(54,1),(84,1)}
        41:{4,5,7}:{(30,1),(54,1),(55,1)}
        42:{2,4,6}:{(31,1),(32,1),(34,1),(48,1),(57,1)}
        43:{1,2,5,6}:{(32,1),(49,1),(56,1),(58,1),(115,1),(123,1)}
        44:{2,3,5,6}:{(32,1),(33,1),(50,1),(57,1),(58,1),(59,1),(87,1),(90,1),(109,1)}
        45:{3,4,6}:{(33,1),(51,1),(59,1),(60,1)}
        46:{1,2,4,5}:{(34,1),(56,1),(61,1),(92,1),(93,1),(115,1)}
        47:{2,3,5}:{(34,1),(57,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(42,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(43,1),(63,1),(65,1),(117,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(44,1),(64,1),(65,1),(66,1),(70,1)}
        51:{3,4,7}:{(37,1),(45,1),(66,1)}
        52:{1,3,6,7}:{(38,1),(39,1),(65,1),(68,1),(69,1),(118,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(66,1),(69,1),(70,1),(99,1)}
        54:{3,5,7}:{(40,1),(41,1),(70,1),(71,1)}
        55:{4,5,6}:{(41,1),(71,1)}
        56:{1,2,4,6}:{(42,1),(43,1),(46,1),(63,1),(72,1),(75,1),(103,1)}
        57:{2,3,6}:{(42,1),(47,1),(64,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(65,1),(72,1),(74,1),(75,1),(102,1),(104,1),(118,1)}
        59:{2,4,6}:{(44,1),(45,1),(66,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,5}:{(46,1),(47,1),(72,1),(77,1),(78,1)}
        62:{2,3,4}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(56,1),(79,1),(82,1),(107,1)}
        64:{2,3,7}:{(48,1),(57,1),(79,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(86,1)}
        66:{2,4,7}:{(50,1),(51,1),(59,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(60,1),(83,1),(84,1)}
        68:{2,3,6,7}:{(52,1),(81,1),(85,1),(123,1),(124,1)}
        69:{1,4,6,7}:{(52,1),(53,1),(82,1),(85,1),(86,1),(112,1)}
        70:{2,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        71:{3,5,6}:{(54,1),(55,1),(84,1),(87,1)}
        72:{1,3,6}:{(56,1),(57,1),(61,1),(79,1),(88,1)}
        73:{2,3,4,6}:{(57,1),(59,1),(62,1),(80,1),(89,1),(90,1),(109,1)}
        74:{2,3,5,6}:{(58,1),(81,1),(88,1),(91,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        75:{1,4,6}:{(58,1),(59,1),(82,1),(91,1),(92,1)}
        76:{2,4,5}:{(59,1),(60,1),(90,1),(92,1)}
        77:{2,3,5}:{(61,1),(88,1),(93,1),(115,1)}
        78:{1,3,4}:{(61,1),(62,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(72,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(73,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(74,1),(94,1),(97,1),(101,1),(117,1),(119,1)}
        82:{1,4,7}:{(65,1),(66,1),(75,1),(97,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(76,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(67,1),(71,1),(99,1)}
        85:{2,4,6,7}:{(68,1),(69,1),(97,1),(100,1),(101,1),(120,1)}
        86:{1,5,7}:{(69,1),(70,1),(101,1),(102,1)}
        87:{2,5,6}:{(70,1),(71,1),(99,1),(102,1)}
        88:{2,3,6}:{(72,1),(77,1),(94,1),(103,1)}
        89:{1,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(95,1),(103,1),(104,1),(105,1),(118,1)}
        90:{2,3,5}:{(73,1),(76,1),(104,1)}
        91:{2,4,6}:{(74,1),(75,1),(97,1),(105,1),(106,1)}
        92:{1,4,5}:{(75,1),(76,1),(104,1),(106,1)}
        93:{2,4}:{(77,1),(78,1)}
        94:{2,3,7}:{(79,1),(88,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(89,1),(107,1),(108,1),(110,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(90,1),(108,1),(109,1)}
        97:{2,4,7}:{(81,1),(82,1),(91,1),(110,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(86,1),(92,1),(108,1),(111,1),(112,1)}
        99:{2,4,6}:{(83,1),(84,1),(87,1),(109,1),(112,1)}
       100:{3,4,6,7}:{(85,1),(110,1),(113,1),(124,1),(125,1)}
       101:{2,5,7}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,5,6}:{(86,1),(87,1),(112,1),(114,1)}
       103:{2,4,6}:{(88,1),(89,1),(93,1),(107,1),(115,1),(123,1)}
       104:{1,3,5}:{(89,1),(90,1),(92,1),(115,1),(116,1)}
       105:{3,4,6}:{(91,1),(110,1),(116,1),(124,1)}
       106:{2,4,5}:{(91,1),(92,1),(115,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(103,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(104,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(99,1),(118,1)}
       110:{3,4,7}:{(97,1),(105,1),(119,1)}
       111:{2,4,5,7}:{(97,1),(98,1),(101,1),(106,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(98,1),(99,1),(102,1),(118,1),(120,1)}
       113:{3,5,7}:{(100,1),(101,1),(121,1),(122,1)}
       114:{2,5,6}:{(101,1),(102,1),(120,1),(122,1)}
       115:{2,5}:{(103,1),(104,1)}
       116:{3,5}:{(105,1),(106,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1429 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1430 :   0:{2,3,4,6,7}:{(1,1),(2,1),(10,1),(30,1),(31,1),(69,1),(72,1),(83,1),(88,1),(122,1),(129,1),(213,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(21,1),(54,1),(59,1),(63,1),(93,1),(99,1),(112,1),(115,1),(159,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(46,1),(91,1),(150,1),(158,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(10,1),(37,1),(80,1),(83,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(39,1),(42,1),(129,1),(143,1),(145,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(12,1),(13,1),(43,1),(119,1),(128,1),(185,1)}
         6:{2,4,5,7}:{(2,1),(10,1),(13,1),(14,1),(72,1),(121,1)}
         7:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(46,1),(91,1),(92,1)}
         8:{1,2,4,6,7}:{(4,1),(17,1),(18,1),(49,1),(52,1),(54,1),(93,1),(148,1),(159,1),(160,1),(164,1),(194,1),(209,1),(233,1),(241,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(59,1),(108,1),(112,1)}
        10:{2,4,6}:{(3,1),(6,1),(21,1),(22,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(24,1),(59,1),(100,1),(171,1),(233,1)}
        12:{2,5,7}:{(4,1),(5,1),(20,1),(158,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(21,1),(25,1),(54,1),(98,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(46,1),(97,1),(150,1)}
        15:{1,3,5,6,7}:{(7,1),(9,1),(28,1),(29,1),(67,1),(68,1),(119,1),(120,1)}
        16:{2,4,6,7}:{(7,1),(10,1),(27,1),(29,1),(30,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(31,1),(34,1),(74,1),(130,1),(189,1),(213,1),(244,1)}
        18:{1,2,5,7}:{(8,1),(12,1),(32,1),(34,1),(71,1),(119,1),(173,1),(185,1),(223,1),(239,1)}
        19:{2,4,5,6}:{(10,1),(27,1),(36,1),(37,1),(80,1),(121,1),(191,1)}
        20:{2,5,6}:{(9,1),(12,1),(39,1),(143,1)}
        21:{1,4,6}:{(9,1),(10,1),(13,1),(39,1)}
        22:{3,4,6}:{(10,1),(14,1),(37,1)}
        23:{2,3,4,6,7}:{(11,1),(33,1),(41,1),(42,1),(82,1),(86,1),(126,1),(129,1),(144,1),(180,1),(187,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(34,1),(38,1),(42,1),(43,1),(239,1),(244,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(39,1),(42,1),(43,1),(81,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(40,1),(43,1),(44,1),(67,1),(77,1),(89,1),(117,1),(128,1),(136,1),(172,1),(190,1),(213,1),(225,1)}
        27:{2,4,5,7}:{(16,1),(19,1),(45,1),(46,1),(91,1),(194,1)}
        28:{2,5,6,7}:{(15,1),(20,1),(47,1),(91,1),(148,1)}
        29:{1,4,6,7}:{(15,1),(16,1),(21,1),(45,1),(47,1)}
        30:{3,4,6,7}:{(16,1),(22,1),(46,1)}
        31:{2,3,6,7}:{(17,1),(49,1),(50,1),(100,1),(148,1),(153,1),(204,1)}
        32:{1,2,5,6}:{(18,1),(20,1),(51,1),(52,1),(95,1),(108,1),(158,1),(160,1),(167,1),(206,1),(207,1),(231,1)}
        33:{1,3,4,6,7}:{(17,1),(23,1),(49,1),(53,1),(54,1),(97,1),(99,1),(102,1),(153,1),(155,1),(159,1),(202,1),(209,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(24,1),(50,1),(51,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(25,1),(52,1),(54,1),(55,1),(65,1),(96,1),(98,1),(104,1),(116,1),(158,1),(163,1),(164,1),(194,1),(203,1),(207,1),(210,1),(229,1),(234,1),(241,1)}
        36:{1,4,5,6}:{(19,1),(21,1),(45,1),(56,1),(57,1),(98,1),(108,1),(166,1)}
        37:{3,5,6}:{(19,1),(22,1),(46,1),(150,1),(211,1)}
        38:{2,3,5,6}:{(20,1),(24,1),(51,1),(58,1),(59,1),(100,1),(110,1),(158,1),(231,1),(232,1),(242,1)}
        39:{2,4,6}:{(20,1),(21,1),(25,1),(59,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(26,1),(57,1),(59,1),(60,1),(106,1),(112,1),(166,1),(211,1)}
        41:{2,3,5,7}:{(23,1),(53,1),(61,1),(62,1),(110,1),(158,1),(168,1),(205,1)}
        42:{2,4,7}:{(24,1),(54,1),(58,1),(63,1)}
        43:{3,5,7}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,5,7}:{(26,1),(60,1),(64,1),(65,1),(91,1),(104,1),(116,1),(146,1),(158,1),(165,1),(194,1),(210,1)}
        45:{1,4,5,7}:{(27,1),(29,1),(36,1),(66,1),(67,1),(119,1),(172,1)}
        46:{3,5,7}:{(27,1),(30,1),(37,1),(213,1)}
        47:{2,4,6,7}:{(28,1),(29,1),(39,1),(66,1),(68,1)}
        48:{1,3,4,6,7}:{(29,1),(30,1),(40,1),(67,1),(68,1),(69,1),(117,1),(120,1),(172,1),(213,1)}
        49:{2,4,6,7}:{(31,1),(33,1),(71,1),(72,1),(124,1),(129,1),(182,1),(222,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(70,1),(71,1),(72,1),(125,1),(173,1),(213,1)}
        51:{1,3,5,6}:{(32,1),(34,1),(38,1),(70,1),(73,1),(74,1),(128,1),(130,1),(185,1),(224,1)}
        52:{1,2,4,6}:{(32,1),(35,1),(39,1),(73,1),(74,1),(84,1),(124,1),(129,1),(143,1),(188,1),(191,1),(222,1),(237,1)}
        53:{1,3,5,7}:{(33,1),(41,1),(71,1),(75,1),(76,1),(125,1),(128,1),(185,1),(223,1)}
        54:{1,4,7}:{(34,1),(42,1),(72,1),(73,1)}
        55:{1,3,5,7}:{(35,1),(43,1),(74,1),(77,1),(78,1),(125,1),(128,1),(189,1),(213,1),(224,1),(225,1),(238,1),(244,1)}
        56:{2,4,5,6}:{(36,1),(39,1),(66,1),(79,1),(80,1),(81,1),(137,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(40,1),(67,1),(79,1),(80,1),(128,1)}
        58:{2,4,6}:{(38,1),(42,1),(73,1),(81,1),(82,1),(240,1)}
        59:{3,6}:{(39,1),(43,1)}
        60:{2,4,6}:{(40,1),(44,1),(80,1),(83,1),(84,1),(143,1)}
        61:{2,3,5,6}:{(41,1),(75,1),(86,1),(140,1),(180,1),(184,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(76,1),(81,1),(86,1),(87,1)}
        63:{3,4,7}:{(42,1),(43,1),(82,1),(244,1)}
        64:{2,3,5,7}:{(43,1),(44,1),(83,1),(88,1),(89,1),(141,1),(213,1),(225,1)}
        65:{1,4,5,7}:{(44,1),(84,1),(89,1),(119,1),(134,1),(172,1),(185,1),(190,1)}
        66:{2,4,5,7}:{(45,1),(47,1),(56,1),(90,1),(91,1),(146,1)}
        67:{1,3,5,7}:{(45,1),(46,1),(48,1),(57,1),(90,1),(91,1)}
        68:{3,6,7}:{(47,1),(59,1),(90,1)}
        69:{2,4,6,7}:{(48,1),(60,1),(91,1),(92,1),(93,1),(146,1),(148,1),(194,1)}
        70:{2,3,5,6}:{(50,1),(51,1),(94,1),(95,1),(100,1),(150,1),(153,1),(158,1),(167,1),(211,1),(212,1)}
        71:{2,5,7}:{(49,1),(53,1),(95,1),(158,1)}
        72:{2,4,7}:{(50,1),(54,1),(94,1),(97,1)}
        73:{1,4,6}:{(51,1),(54,1),(58,1),(94,1),(98,1),(234,1)}
        74:{1,3,6}:{(52,1),(55,1),(59,1),(100,1),(153,1),(211,1),(242,1)}
        75:{1,3,5,6}:{(53,1),(61,1),(95,1),(102,1),(153,1),(202,1),(206,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(62,1),(96,1),(98,1),(102,1)}
        77:{1,3,4,7}:{(54,1),(55,1),(63,1),(97,1),(99,1),(104,1),(234,1),(235,1),(243,1)}
        78:{2,3,5,7}:{(55,1),(100,1),(104,1),(105,1),(116,1),(158,1),(171,1),(203,1),(204,1),(212,1),(232,1)}
        79:{3,5,6}:{(56,1),(59,1),(90,1),(106,1),(110,1)}
        80:{2,5,6}:{(57,1),(60,1),(91,1),(108,1),(158,1)}
        81:{2,4,5}:{(58,1),(98,1),(110,1),(158,1)}
        82:{3,4,6}:{(58,1),(59,1),(63,1),(110,1),(242,1),(243,1)}
        83:{2,3,6}:{(59,1),(60,1),(64,1),(112,1),(211,1)}
        84:{1,4,6}:{(60,1),(65,1),(108,1),(112,1)}
        85:{2,3,5,6,7}:{(61,1),(101,1),(113,1),(168,1),(201,1),(205,1)}
        86:{2,4,6}:{(61,1),(62,1),(102,1),(114,1)}
        87:{3,4,5,7}:{(62,1),(63,1),(110,1),(114,1),(168,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(104,1),(111,1),(115,1),(146,1),(204,1),(235,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(112,1),(115,1),(116,1),(169,1)}
        90:{3,5,7}:{(66,1),(68,1),(79,1),(117,1)}
        91:{2,5,7}:{(67,1),(69,1),(80,1),(119,1)}
        92:{2,3,6,7}:{(68,1),(69,1),(83,1),(118,1),(120,1),(213,1)}
        93:{1,4,6,7}:{(69,1),(84,1),(119,1),(120,1),(172,1)}
        94:{2,4,6}:{(70,1),(72,1),(73,1),(121,1),(122,1),(226,1)}
        95:{2,5,6}:{(71,1),(75,1),(124,1),(222,1)}
        96:{2,4,5,7}:{(71,1),(72,1),(76,1),(121,1),(124,1),(125,1)}
        97:{3,4,7}:{(72,1),(122,1),(125,1),(213,1)}
        98:{1,4,5}:{(73,1),(81,1),(121,1),(128,1),(185,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(77,1),(82,1),(122,1),(128,1),(129,1)}
       100:{2,3,6}:{(74,1),(78,1),(129,1),(130,1),(143,1),(222,1)}
       101:{1,3,5,6,7}:{(75,1),(85,1),(123,1),(131,1),(179,1),(183,1),(221,1),(223,1)}
       102:{1,4,6}:{(75,1),(76,1),(86,1),(124,1)}
       103:{1,3,4,5,7}:{(76,1),(77,1),(87,1),(125,1),(128,1),(132,1),(133,1),(174,1),(181,1),(183,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       104:{2,4,7}:{(77,1),(78,1),(129,1),(134,1),(226,1),(240,1)}
       105:{1,3,5,7}:{(78,1),(130,1),(134,1),(135,1),(185,1),(189,1),(224,1)}
       106:{3,4,6}:{(79,1),(117,1),(136,1),(137,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(83,1),(118,1),(137,1),(138,1),(141,1)}
       108:{1,5,6}:{(80,1),(84,1),(119,1),(185,1)}
       109:{2,4,5,6}:{(81,1),(86,1),(127,1),(139,1),(140,1),(184,1),(237,1)}
       110:{3,5}:{(81,1),(82,1)}
       111:{2,3,4,6}:{(82,1),(83,1),(88,1),(129,1),(137,1),(141,1),(142,1),(220,1),(240,1)}
       112:{1,3,6}:{(83,1),(84,1),(89,1),(143,1)}
       113:{2,4,6,7}:{(85,1),(86,1),(131,1),(139,1),(144,1)}
       114:{3,4,6}:{(86,1),(87,1),(140,1)}
       115:{1,3,4,7}:{(88,1),(89,1),(134,1),(142,1),(145,1),(172,1),(189,1),(213,1)}
       116:{2,5,7}:{(89,1),(143,1),(145,1),(192,1)}
       117:{3,4,7}:{(90,1),(106,1),(146,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(92,1),(107,1),(146,1),(147,1)}
       119:{1,5,7}:{(91,1),(93,1),(108,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(112,1),(147,1),(148,1)}
       121:{2,4,5}:{(94,1),(98,1),(150,1),(158,1)}
       122:{3,4,6}:{(94,1),(97,1),(150,1),(153,1),(211,1),(235,1)}
       123:{2,5,6,7}:{(95,1),(101,1),(152,1),(205,1),(233,1)}
       124:{2,4,6}:{(95,1),(96,1),(102,1),(153,1)}
       125:{3,5,7}:{(96,1),(97,1),(150,1),(153,1)}
       126:{2,3,4,7}:{(97,1),(104,1),(151,1),(154,1),(155,1),(171,1),(227,1),(243,1)}
       127:{1,4,5,6}:{(98,1),(102,1),(109,1),(149,1),(156,1),(157,1),(206,1),(228,1)}
       128:{1,3,5}:{(98,1),(99,1),(110,1),(150,1),(158,1)}
       129:{2,4,6}:{(99,1),(100,1),(104,1),(158,1),(159,1)}
       130:{1,3,6}:{(100,1),(105,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(113,1),(152,1),(156,1)}
       132:{1,3,4,6}:{(102,1),(103,1),(114,1),(153,1),(157,1),(162,1),(195,1),(202,1),(228,1),(242,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(154,1),(158,1),(162,1),(163,1),(196,1),(203,1),(205,1),(227,1),(229,1),(241,1)}
       134:{1,4,7}:{(104,1),(105,1),(159,1),(234,1)}
       135:{1,2,5,7}:{(105,1),(116,1),(160,1),(164,1),(203,1),(207,1)}
       136:{3,4,5}:{(106,1),(110,1),(165,1),(243,1)}
       137:{2,4,6}:{(106,1),(107,1),(146,1),(165,1),(166,1)}
       138:{1,3,5,6}:{(107,1),(108,1),(112,1),(147,1),(166,1),(167,1),(169,1),(211,1)}
       139:{2,4,5,7}:{(109,1),(113,1),(156,1),(168,1),(205,1),(241,1)}
       140:{3,5,6}:{(109,1),(110,1),(114,1),(168,1),(242,1)}
       141:{2,3,5}:{(110,1),(111,1),(158,1),(165,1),(169,1)}
       142:{1,3,4,6}:{(111,1),(112,1),(115,1),(159,1),(166,1),(169,1),(170,1),(208,1),(211,1),(234,1),(235,1)}
       143:{2,6}:{(112,1),(116,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(168,1)}
       145:{2,4,7}:{(115,1),(116,1),(170,1),(171,1)}
       146:{2,4,7}:{(117,1),(118,1),(137,1),(172,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(138,1),(172,1),(173,1),(213,1)}
       148:{2,6,7}:{(120,1),(143,1),(173,1)}
       149:{2,4,5,6}:{(121,1),(124,1),(127,1),(175,1),(176,1),(184,1),(215,1)}
       150:{3,5}:{(121,1),(122,1)}
       151:{2,3,4,6}:{(122,1),(126,1),(129,1),(177,1),(178,1),(180,1),(193,1),(215,1),(226,1)}
       152:{2,4,6,7}:{(123,1),(124,1),(131,1),(175,1),(179,1)}
       153:{3,6}:{(124,1),(125,1)}
       154:{2,3,5,7}:{(125,1),(126,1),(133,1),(177,1),(180,1),(181,1),(238,1),(244,1)}
       155:{1,3,4,7}:{(126,1),(134,1),(178,1),(181,1),(182,1),(189,1),(236,1),(244,1)}
       156:{1,4,5,7}:{(127,1),(131,1),(139,1),(175,1),(183,1),(223,1),(236,1)}
       157:{1,3,5,6}:{(127,1),(128,1),(132,1),(140,1),(176,1),(183,1),(184,1)}
       158:{2,5}:{(128,1),(129,1),(185,1)}
       159:{1,4,6}:{(129,1),(130,1),(134,1),(185,1)}
       160:{1,2,6}:{(130,1),(135,1),(143,1),(222,1)}
       161:{1,3,4,6,7}:{(131,1),(132,1),(144,1),(179,1),(183,1),(187,1),(214,1),(221,1),(236,1),(244,1)}
       162:{2,4,6}:{(132,1),(133,1),(180,1),(184,1),(188,1),(222,1)}
       163:{1,4,5,7}:{(133,1),(134,1),(181,1),(185,1),(188,1),(216,1),(223,1),(236,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(145,1),(182,1),(186,1),(189,1)}
       165:{2,4,5}:{(136,1),(137,1),(141,1),(190,1),(240,1)}
       166:{1,4,6}:{(137,1),(138,1),(172,1),(190,1),(191,1)}
       167:{2,5,6}:{(138,1),(143,1),(173,1),(191,1),(192,1)}
       168:{3,5,7}:{(139,1),(140,1),(144,1),(244,1)}
       169:{1,3,5}:{(141,1),(142,1),(185,1),(190,1),(192,1),(225,1)}
       170:{2,4,6}:{(142,1),(143,1),(145,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(189,1),(193,1),(213,1)}
       172:{1,4,7}:{(146,1),(147,1),(166,1),(194,1)}
       173:{2,5,7}:{(147,1),(148,1),(167,1),(194,1)}
       174:{3,4,5}:{(150,1),(195,1),(196,1),(235,1)}
       175:{2,4,5,7}:{(149,1),(152,1),(156,1),(197,1),(205,1),(227,1)}
       176:{3,5,6}:{(149,1),(150,1),(153,1),(195,1),(197,1)}
       177:{2,3,5}:{(150,1),(151,1),(158,1),(196,1),(199,1)}
       178:{1,3,4,6}:{(151,1),(155,1),(159,1),(199,1),(200,1),(202,1),(208,1),(228,1),(234,1),(242,1),(243,1)}
       179:{3,6,7}:{(152,1),(153,1),(197,1)}
       180:{2,3,6}:{(153,1),(154,1),(162,1),(202,1),(242,1)}
       181:{1,3,5,7}:{(154,1),(155,1),(163,1),(199,1),(202,1),(203,1)}
       182:{2,4,7}:{(155,1),(200,1),(203,1),(204,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(161,1),(168,1),(197,1),(205,1)}
       184:{2,5,6}:{(157,1),(158,1),(162,1),(205,1),(206,1)}
       185:{1,5}:{(158,1),(159,1)}
       186:{1,2,4,6}:{(159,1),(160,1),(164,1),(170,1),(200,1),(207,1),(208,1),(234,1)}
       187:{2,4,6,7}:{(161,1),(162,1),(201,1),(205,1),(209,1),(227,1),(233,1),(241,1)}
       188:{1,4,6}:{(162,1),(163,1),(202,1),(206,1)}
       189:{1,3,7}:{(164,1),(171,1),(204,1),(208,1)}
       190:{1,4,5}:{(165,1),(166,1),(169,1),(210,1),(234,1)}
       191:{2,4,6}:{(166,1),(167,1),(194,1),(210,1),(211,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(208,1),(211,1),(212,1)}
       194:{2,4,7}:{(172,1),(173,1),(191,1),(213,1)}
       195:{3,4,6}:{(174,1),(176,1),(214,1),(215,1)}
       196:{2,4,5}:{(174,1),(177,1),(215,1),(216,1),(226,1)}
       197:{3,5,7}:{(175,1),(176,1),(179,1),(214,1)}
       198:{2,3,5,6}:{(176,1),(177,1),(180,1),(184,1),(215,1),(217,1),(218,1)}
       199:{1,3,5}:{(177,1),(178,1),(185,1),(216,1),(219,1),(238,1)}
       200:{2,4,6}:{(178,1),(182,1),(219,1),(220,1),(222,1),(240,1)}
       201:{2,3,6,7}:{(179,1),(180,1),(187,1),(217,1),(221,1),(244,1)}
       202:{1,3,6}:{(180,1),(181,1),(188,1),(222,1)}
       203:{2,5,7}:{(181,1),(182,1),(219,1),(222,1)}
       204:{2,3,7}:{(182,1),(189,1),(220,1),(244,1)}
       205:{2,5,7}:{(183,1),(184,1),(187,1),(223,1)}
       206:{1,5,6}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,2,5}:{(185,1),(186,1),(192,1),(219,1),(224,1)}
       208:{1,3,6}:{(186,1),(189,1),(193,1),(220,1),(224,1)}
       209:{1,4,6,7}:{(187,1),(188,1),(221,1),(223,1),(236,1)}
       210:{2,4,5}:{(190,1),(191,1),(192,1),(225,1),(226,1)}
       211:{3,6}:{(191,1),(213,1),(225,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,7}:{(194,1),(211,1)}
       214:{3,4,7}:{(195,1),(197,1),(227,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(227,1),(228,1)}
       216:{1,4,5}:{(196,1),(199,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(197,1),(198,1),(201,1),(205,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(198,1),(199,1),(202,1),(206,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(199,1),(200,1)}
       220:{2,3,6}:{(200,1),(204,1),(208,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(201,1),(202,1),(209,1),(230,1),(233,1)}
       222:{2,6}:{(202,1),(203,1)}
       223:{1,5,7}:{(205,1),(206,1),(209,1)}
       224:{1,3,5}:{(207,1),(208,1),(212,1),(232,1),(234,1)}
       225:{3,5}:{(210,1),(211,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1431 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1432 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1433 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1434 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1435 :   0:{1,2,5,6,7}:{(2,1),(3,1),(40,1),(44,1),(80,1),(83,1),(88,1),(113,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(40,1),(46,1),(113,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(24,1),(28,1),(60,1),(66,1),(92,1),(105,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(101,1),(108,1),(131,1),(139,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(40,1),(71,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(87,1),(112,1),(125,1)}
         7:{1,2,4,5,7}:{(3,1),(12,1),(13,1),(15,1),(40,1),(42,1),(82,1),(83,1),(89,1),(114,1),(123,1),(125,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(120,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(13,1),(17,1),(18,1),(40,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(150,1)}
        11:{2,4,6,7}:{(5,1),(6,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(55,1),(58,1),(97,1),(101,1),(102,1),(108,1),(131,1),(135,1),(137,1),(139,1),(141,1),(147,1),(163,1),(174,1)}
        13:{1,4,5,7}:{(6,1),(9,1),(20,1),(23,1),(24,1),(60,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(21,1),(24,1),(25,1),(26,1),(57,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(22,1),(26,1),(27,1),(110,1),(133,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(27,1),(28,1),(100,1),(139,1)}
        17:{2,4,5,6}:{(9,1),(23,1),(29,1),(58,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(25,1),(31,1),(32,1),(62,1),(65,1),(95,1),(100,1),(134,1),(162,1),(167,1)}
        20:{2,4,5,7}:{(11,1),(13,1),(33,1),(34,1),(40,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(130,1)}
        22:{1,3,5,6}:{(12,1),(15,1),(36,1),(37,1),(116,1),(120,1),(128,1),(148,1),(154,1),(161,1),(170,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(33,1),(38,1),(80,1),(87,1),(112,1),(158,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(34,1),(38,1),(40,1)}
        25:{2,4,6,7}:{(14,1),(16,1),(40,1),(41,1),(42,1),(79,1)}
        26:{1,3,4,7}:{(15,1),(36,1),(42,1),(125,1),(130,1),(150,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(37,1),(40,1),(42,1),(43,1),(123,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(41,1),(43,1),(44,1),(120,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(150,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(40,1),(46,1),(47,1),(48,1),(170,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(41,1),(48,1),(49,1),(84,1),(85,1),(87,1),(120,1),(125,1),(128,1),(130,1),(157,1),(172,1)}
        33:{2,4,5,6}:{(20,1),(23,1),(50,1),(58,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(50,1)}
        35:{2,3,4,6,7}:{(21,1),(25,1),(52,1),(53,1),(62,1),(69,1),(91,1),(100,1),(111,1),(146,1),(167,1)}
        36:{1,3,4,6}:{(22,1),(26,1),(54,1),(55,1),(141,1),(146,1),(162,1)}
        37:{2,3,5,6}:{(22,1),(27,1),(55,1),(56,1),(58,1),(96,1),(100,1),(135,1),(138,1),(139,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(29,1),(50,1),(57,1),(58,1),(168,1)}
        39:{1,3,4,5,7}:{(24,1),(26,1),(30,1),(51,1),(54,1),(57,1),(59,1),(67,1),(93,1),(103,1),(110,1),(133,1),(144,1),(168,1)}
        40:{2,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        41:{1,4,6,7}:{(25,1),(28,1),(60,1),(63,1),(101,1)}
        42:{2,4,7}:{(26,1),(27,1),(55,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(56,1),(60,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(139,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(58,1),(65,1),(66,1),(100,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(134,1),(163,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(60,1),(66,1),(67,1),(68,1),(110,1),(168,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(139,1),(167,1)}
        50:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        51:{3,4,5,7}:{(34,1),(70,1),(72,1),(130,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(40,1),(71,1),(72,1),(73,1),(161,1),(173,1)}
        53:{1,3,4,6,7}:{(35,1),(41,1),(73,1),(74,1),(84,1),(85,1),(112,1),(120,1),(125,1),(148,1),(150,1),(157,1),(172,1)}
        54:{1,3,4,5}:{(36,1),(75,1),(116,1),(153,1),(158,1),(161,1),(170,1)}
        55:{2,4,6}:{(36,1),(37,1),(42,1),(75,1),(77,1)}
        56:{1,3,5,6}:{(37,1),(43,1),(77,1),(78,1),(80,1),(116,1),(119,1),(120,1)}
        57:{1,3,4,6}:{(38,1),(39,1),(45,1),(70,1),(79,1),(87,1),(112,1),(120,1),(128,1),(148,1)}
        58:{2,5,6}:{(38,1),(40,1),(79,1),(80,1),(173,1)}
        59:{2,4,5,7}:{(39,1),(40,1),(42,1),(75,1),(79,1),(81,1),(82,1),(123,1),(160,1),(173,1)}
        60:{1,5,7}:{(40,1),(41,1),(80,1)}
        61:{1,2,4,6,7}:{(41,1),(44,1),(49,1),(74,1),(83,1),(84,1),(86,1),(121,1),(125,1),(126,1),(155,1),(172,1)}
        62:{2,3,4,7}:{(42,1),(76,1),(81,1),(85,1),(127,1),(130,1),(150,1),(160,1)}
        63:{1,4,7}:{(42,1),(43,1),(77,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(78,1),(86,1),(123,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(80,1),(87,1),(88,1),(120,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(125,1),(158,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(84,1),(90,1),(127,1),(128,1),(156,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(58,1),(91,1),(92,1),(100,1)}
        72:{2,4,5,7}:{(51,1),(52,1),(91,1),(93,1),(111,1),(147,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(60,1),(92,1),(93,1),(94,1),(133,1),(168,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(106,1),(131,1),(134,1),(139,1),(167,1)}
        75:{2,4,5}:{(54,1),(55,1),(96,1),(97,1),(135,1),(165,1)}
        76:{2,3,4,6}:{(55,1),(62,1),(96,1),(98,1),(100,1),(138,1),(146,1),(162,1),(165,1),(167,1)}
        77:{1,4,6}:{(55,1),(56,1),(63,1),(97,1)}
        78:{1,2,5,6}:{(56,1),(64,1),(99,1),(135,1),(139,1)}
        79:{2,4,6}:{(57,1),(58,1),(59,1),(100,1),(101,1),(139,1)}
        80:{1,5,6}:{(58,1),(60,1),(101,1),(174,1)}
        81:{2,3,5,7}:{(59,1),(62,1),(96,1),(100,1),(103,1),(110,1),(133,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(97,1),(101,1),(103,1),(169,1),(174,1)}
        83:{1,2,5,7}:{(60,1),(61,1),(68,1),(94,1),(102,1),(105,1),(174,1)}
        84:{1,3,6,7}:{(61,1),(69,1),(95,1),(105,1),(107,1),(140,1),(145,1),(166,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(98,1),(103,1),(106,1),(107,1),(145,1),(169,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(99,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(139,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(105,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,3,5,6}:{(71,1),(73,1),(80,1),(112,1),(113,1),(120,1),(148,1)}
        93:{1,4,5,7}:{(72,1),(73,1),(112,1),(114,1),(125,1),(158,1)}
        94:{2,5,7}:{(73,1),(74,1),(113,1),(173,1)}
        95:{2,3,6,7}:{(74,1),(84,1),(115,1),(127,1),(148,1),(156,1)}
        96:{2,3,5}:{(75,1),(76,1),(116,1),(161,1),(170,1),(173,1)}
        97:{1,4,5}:{(75,1),(77,1),(116,1),(171,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(85,1),(116,1),(118,1),(119,1),(120,1),(153,1),(154,1),(171,1),(172,1)}
        99:{1,2,4,6}:{(77,1),(78,1),(86,1),(117,1),(118,1),(119,1)}
       100:{2,3,6}:{(79,1),(81,1),(120,1),(128,1),(148,1)}
       101:{1,4,6}:{(79,1),(80,1),(82,1),(120,1)}
       102:{1,2,5,6}:{(80,1),(83,1),(88,1),(113,1),(121,1),(122,1),(155,1),(173,1)}
       103:{1,3,5,7}:{(81,1),(82,1),(85,1),(116,1),(120,1),(123,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(86,1),(89,1),(114,1),(117,1),(121,1),(123,1),(124,1),(125,1),(158,1),(160,1),(173,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(90,1),(115,1),(122,1),(125,1)}
       106:{2,4,7}:{(85,1),(118,1),(123,1),(127,1)}
       107:{1,3,7}:{(86,1),(119,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(122,1),(128,1),(129,1),(156,1),(161,1),(173,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(125,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,5,6}:{(92,1),(94,1),(131,1),(139,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(131,1),(133,1),(134,1),(163,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(105,1),(132,1),(133,1),(134,1)}
       116:{1,3,5}:{(96,1),(97,1),(98,1),(135,1),(174,1)}
       117:{1,2,4,5}:{(97,1),(99,1),(135,1),(136,1),(165,1)}
       118:{2,4,6}:{(98,1),(106,1),(135,1),(138,1),(139,1),(165,1)}
       119:{1,3,6}:{(99,1),(107,1),(136,1),(138,1)}
       120:{1,3,6}:{(100,1),(101,1),(103,1),(139,1)}
       121:{1,2,4,6}:{(101,1),(102,1),(104,1),(108,1),(131,1),(139,1),(140,1),(141,1),(167,1)}
       122:{1,3,5,6}:{(102,1),(105,1),(109,1),(132,1),(140,1),(141,1),(166,1),(168,1),(174,1)}
       123:{2,5,7}:{(103,1),(106,1),(135,1),(139,1)}
       124:{1,3,5,7}:{(104,1),(107,1),(110,1),(133,1),(136,1),(140,1),(143,1),(144,1),(168,1)}
       125:{1,4,7}:{(105,1),(111,1),(134,1),(141,1)}
       126:{1,2,4,7}:{(106,1),(137,1),(142,1),(145,1),(169,1)}
       127:{2,3,7}:{(106,1),(107,1),(138,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(141,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{2,3,5,6}:{(113,1),(115,1),(122,1),(148,1),(149,1),(156,1),(170,1),(173,1)}
       133:{3,5,7}:{(114,1),(148,1),(150,1),(170,1)}
       134:{2,4,7}:{(115,1),(125,1),(149,1),(150,1)}
       135:{2,5}:{(116,1),(118,1)}
       136:{1,3,5}:{(117,1),(119,1),(152,1),(153,1)}
       137:{1,2,4,6}:{(118,1),(126,1),(151,1),(154,1),(155,1),(171,1),(172,1)}
       138:{2,3,6}:{(118,1),(119,1),(127,1),(152,1),(154,1)}
       139:{2,6}:{(120,1),(123,1)}
       140:{1,3,6}:{(121,1),(124,1),(128,1),(148,1),(156,1)}
       141:{1,4,6}:{(122,1),(125,1),(129,1),(149,1),(158,1)}
       142:{1,2,5,7}:{(123,1),(126,1),(151,1),(155,1),(159,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(127,1),(152,1),(156,1),(159,1),(160,1),(173,1)}
       144:{1,3,4,7}:{(124,1),(125,1),(130,1),(150,1),(153,1),(157,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(154,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(158,1),(161,1),(173,1)}
       148:{3,6}:{(131,1),(133,1)}
       149:{2,4,6}:{(132,1),(134,1),(141,1),(162,1),(163,1)}
       150:{3,4,7}:{(133,1),(134,1),(162,1)}
       151:{1,2,5}:{(135,1),(137,1),(164,1),(174,1)}
       152:{2,3,5}:{(135,1),(136,1),(138,1),(164,1),(165,1)}
       153:{1,3,4}:{(136,1),(165,1)}
       154:{1,3,6}:{(137,1),(138,1),(145,1),(164,1)}
       155:{1,2,6}:{(139,1),(142,1),(166,1)}
       156:{2,3,6}:{(139,1),(140,1),(143,1),(166,1),(167,1)}
       157:{1,3,4,6}:{(140,1),(141,1),(144,1),(146,1),(162,1),(167,1),(168,1)}
       158:{1,4,5}:{(141,1),(147,1),(163,1),(168,1),(174,1)}
       159:{1,3,5,7}:{(142,1),(143,1),(145,1),(164,1),(166,1),(169,1),(174,1)}
       160:{2,4,7}:{(143,1),(144,1),(165,1),(167,1),(169,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(149,1),(158,1),(170,1),(173,1)}
       164:{1,3,5}:{(151,1),(152,1),(154,1),(171,1)}
       165:{2,4}:{(152,1),(153,1),(171,1)}
       166:{1,3,6}:{(155,1),(156,1),(159,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(160,1),(172,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(161,1),(170,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(171,1),(172,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(169,1),(174,1)}
       173:{2,5}:{(167,1),(168,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1436 :   0:{2,3,4,6,7}:{(1,1),(2,1),(16,1),(34,1),(46,1),(85,1),(99,1),(102,1),(104,1),(142,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(22,1),(29,1),(65,1),(73,1),(75,1),(121,1),(128,1),(131,1),(134,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(71,1),(127,1),(169,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(12,1),(38,1),(48,1),(83,1),(101,1),(140,1),(143,1),(145,1),(150,1),(241,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(48,1),(49,1),(150,1),(161,1),(164,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(50,1),(149,1),(157,1),(201,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(54,1),(104,1),(106,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(85,1),(141,1)}
         8:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(22,1),(60,1),(65,1),(113,1),(115,1),(121,1),(168,1),(171,1),(174,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(111,1),(129,1),(167,1),(177,1)}
        10:{1,2,4,6,7}:{(4,1),(18,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(6,1),(24,1),(25,1),(71,1),(126,1),(127,1)}
        12:{2,3,6,7}:{(4,1),(22,1),(26,1),(75,1),(123,1),(187,1),(212,1)}
        13:{2,5,7}:{(4,1),(5,1),(27,1),(177,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(27,1),(29,1),(75,1),(134,1),(136,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(28,1),(29,1),(65,1),(120,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(32,1)}
        17:{3,4,5,7}:{(7,1),(32,1),(71,1),(113,1),(169,1)}
        18:{2,4,6,7}:{(8,1),(34,1),(35,1),(85,1),(86,1),(150,1),(197,1),(200,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(35,1),(36,1),(37,1),(87,1),(149,1),(193,1),(201,1)}
        20:{2,3,5,6}:{(9,1),(36,1),(38,1),(91,1),(145,1),(147,1)}
        21:{2,4,5,7}:{(9,1),(37,1),(38,1),(39,1),(48,1),(100,1)}
        22:{1,3,6,7}:{(10,1),(12,1),(34,1),(40,1),(94,1),(152,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(13,1),(35,1),(40,1),(41,1),(157,1),(193,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(14,1),(43,1),(44,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(16,1),(44,1),(45,1),(46,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(50,1),(226,1),(241,1)}
        27:{2,5,6}:{(13,1),(14,1),(49,1),(164,1)}
        28:{2,4,5,7}:{(13,1),(15,1),(48,1),(49,1),(50,1),(100,1)}
        29:{1,4,6}:{(14,1),(15,1),(16,1),(49,1)}
        30:{1,3,4,5,7}:{(15,1),(17,1),(50,1),(52,1),(53,1),(93,1),(98,1),(105,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        31:{2,4,5,6}:{(16,1),(45,1),(51,1),(54,1),(106,1),(141,1),(209,1)}
        32:{3,4,6}:{(16,1),(17,1),(54,1)}
        33:{2,3,5,6,7}:{(20,1),(55,1),(56,1),(111,1),(166,1),(167,1)}
        34:{2,3,6,7}:{(18,1),(22,1),(57,1),(115,1),(123,1),(183,1),(216,1)}
        35:{2,5,7}:{(18,1),(19,1),(58,1),(177,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(58,1),(60,1),(115,1),(174,1),(176,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(59,1),(60,1),(65,1),(120,1)}
        38:{2,4,6}:{(20,1),(21,1),(60,1),(63,1)}
        39:{3,4,5,7}:{(21,1),(63,1),(73,1),(111,1),(129,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(26,1),(57,1),(64,1),(65,1)}
        41:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(66,1),(136,1),(176,1),(177,1),(180,1),(189,1),(218,1),(219,1)}
        42:{1,2,4,5,7}:{(23,1),(28,1),(59,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(122,1),(135,1),(175,1),(177,1),(179,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,5,6,7}:{(24,1),(27,1),(68,1),(127,1),(183,1)}
        44:{1,4,6,7}:{(24,1),(25,1),(29,1),(68,1),(69,1)}
        45:{2,4,5,7}:{(25,1),(31,1),(69,1),(71,1),(127,1),(221,1)}
        46:{3,4,6,7}:{(25,1),(32,1),(71,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(64,1),(72,1),(75,1),(123,1),(129,1),(177,1),(218,1),(237,1),(238,1)}
        48:{2,4,7}:{(26,1),(65,1),(72,1),(73,1)}
        49:{2,4,6}:{(27,1),(28,1),(29,1),(75,1)}
        50:{3,5,7}:{(28,1),(73,1),(75,1),(129,1)}
        51:{1,4,5,6}:{(29,1),(31,1),(69,1),(74,1),(77,1),(120,1),(136,1),(188,1)}
        52:{1,3,4,6}:{(29,1),(30,1),(32,1),(75,1),(77,1),(78,1),(132,1),(134,1),(188,1),(224,1)}
        53:{2,4,5,7}:{(30,1),(76,1),(78,1),(79,1),(122,1),(127,1),(135,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        54:{3,5,6}:{(31,1),(32,1),(71,1),(169,1),(224,1)}
        55:{1,3,5,6,7}:{(33,1),(36,1),(80,1),(81,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(38,1),(81,1),(82,1),(83,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(40,1),(84,1),(85,1),(87,1),(205,1),(232,1)}
        58:{2,5,6}:{(35,1),(36,1),(86,1),(200,1)}
        59:{2,4,5,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(141,1)}
        60:{1,4,6}:{(36,1),(37,1),(38,1),(86,1)}
        61:{1,3,4,5,7}:{(37,1),(39,1),(87,1),(89,1),(90,1),(93,1),(139,1),(146,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        62:{2,4,5,6}:{(38,1),(82,1),(88,1),(91,1),(100,1),(147,1),(230,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(47,1),(84,1),(92,1),(94,1),(149,1),(152,1),(201,1),(231,1)}
        65:{1,4,7}:{(40,1),(48,1),(85,1),(92,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(49,1),(86,1),(92,1),(94,1),(107,1),(148,1),(150,1),(164,1),(200,1),(209,1),(230,1)}
        67:{1,3,5,7}:{(42,1),(50,1),(87,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(49,1),(96,1),(97,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(51,1),(96,1),(98,1),(157,1),(204,1)}
        70:{1,3,4,6,7}:{(44,1),(46,1),(52,1),(97,1),(98,1),(99,1),(154,1),(156,1),(204,1),(232,1)}
        71:{3,5,7}:{(45,1),(46,1),(54,1),(232,1)}
        72:{2,4,6}:{(47,1),(48,1),(92,1),(100,1),(101,1),(243,1)}
        73:{3,4,7}:{(48,1),(50,1),(101,1),(241,1)}
        74:{2,4,5,6}:{(49,1),(51,1),(96,1),(100,1),(103,1),(106,1),(162,1)}
        75:{3,6}:{(49,1),(50,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(104,1),(105,1),(159,1),(232,1),(233,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(98,1),(103,1),(106,1),(149,1)}
        78:{2,4,6}:{(52,1),(53,1),(104,1),(106,1),(107,1),(164,1)}
        79:{1,4,5,7}:{(53,1),(105,1),(107,1),(151,1),(157,1),(201,1),(204,1),(206,1)}
        80:{2,5,6,7}:{(55,1),(58,1),(108,1),(167,1),(212,1)}
        81:{1,4,6,7}:{(55,1),(56,1),(60,1),(108,1),(109,1)}
        82:{2,4,5,7}:{(56,1),(62,1),(109,1),(111,1),(167,1),(235,1)}
        83:{3,4,6,7}:{(56,1),(63,1),(111,1)}
        84:{2,3,5,6}:{(57,1),(58,1),(64,1),(112,1),(115,1),(123,1),(169,1),(177,1),(189,1),(223,1),(224,1)}
        85:{2,4,7}:{(57,1),(65,1),(112,1),(113,1)}
        86:{2,4,6}:{(58,1),(59,1),(60,1),(115,1)}
        87:{3,5,7}:{(59,1),(113,1),(115,1),(169,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(109,1),(114,1),(117,1),(120,1),(176,1),(217,1)}
        89:{1,3,4,6}:{(60,1),(61,1),(63,1),(115,1),(117,1),(118,1),(172,1),(174,1),(217,1),(238,1)}
        90:{2,4,5,7}:{(61,1),(116,1),(118,1),(119,1),(122,1),(167,1),(175,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        91:{3,5,6}:{(62,1),(63,1),(111,1),(129,1),(238,1)}
        92:{1,4,6}:{(64,1),(65,1),(72,1),(112,1),(120,1),(239,1)}
        93:{1,3,4,7}:{(65,1),(67,1),(73,1),(113,1),(121,1),(122,1),(239,1),(240,1),(244,1)}
        94:{1,3,6}:{(66,1),(67,1),(75,1),(115,1),(123,1),(224,1),(238,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(135,1),(175,1),(177,1),(187,1),(216,1),(223,1),(237,1)}
        96:{2,4,5,7}:{(68,1),(69,1),(74,1),(125,1),(127,1),(181,1)}
        97:{3,6,7}:{(68,1),(75,1),(125,1)}
        98:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(125,1),(127,1)}
        99:{2,4,6,7}:{(70,1),(78,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{2,4,5}:{(72,1),(120,1),(129,1),(177,1)}
       101:{3,4,6}:{(72,1),(73,1),(75,1),(129,1),(238,1),(244,1)}
       102:{2,3,4,7}:{(73,1),(76,1),(122,1),(130,1),(131,1),(181,1),(216,1),(240,1)}
       103:{3,5,6}:{(74,1),(75,1),(125,1),(129,1),(132,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(224,1)}
       105:{1,3,5,7}:{(76,1),(79,1),(131,1),(134,1),(135,1),(185,1)}
       106:{2,5,6}:{(77,1),(78,1),(127,1),(136,1),(177,1)}
       107:{1,4,6}:{(78,1),(79,1),(134,1),(136,1)}
       108:{2,4,6,7}:{(80,1),(81,1),(86,1),(137,1),(138,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(88,1),(137,1),(139,1),(193,1),(225,1)}
       110:{1,3,4,6,7}:{(81,1),(83,1),(89,1),(138,1),(139,1),(140,1),(190,1),(192,1),(225,1),(241,1)}
       111:{3,5,7}:{(82,1),(83,1),(91,1),(241,1)}
       112:{2,4,6}:{(84,1),(85,1),(92,1),(141,1),(142,1),(234,1)}
       113:{3,4,7}:{(85,1),(87,1),(142,1),(232,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(137,1),(141,1),(144,1),(147,1),(198,1)}
       115:{3,6}:{(86,1),(87,1)}
       116:{2,3,5,7}:{(87,1),(90,1),(143,1),(145,1),(146,1),(195,1),(241,1),(242,1)}
       117:{1,3,5,6}:{(88,1),(89,1),(91,1),(139,1),(144,1),(147,1),(149,1)}
       118:{2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(200,1)}
       119:{1,4,5,7}:{(90,1),(146,1),(148,1),(151,1),(193,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(100,1),(141,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(101,1),(142,1),(149,1),(150,1)}
       122:{2,4,7}:{(93,1),(95,1),(150,1),(151,1),(234,1),(243,1)}
       123:{2,3,6}:{(94,1),(95,1),(150,1),(152,1),(164,1),(200,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(97,1),(103,1),(154,1)}
       126:{2,3,6,7}:{(97,1),(99,1),(104,1),(155,1),(156,1),(232,1)}
       127:{2,5,7}:{(98,1),(99,1),(106,1),(157,1)}
       128:{1,4,6,7}:{(99,1),(107,1),(156,1),(157,1),(204,1)}
       129:{3,5}:{(100,1),(101,1)}
       130:{2,3,4,6}:{(101,1),(102,1),(104,1),(150,1),(159,1),(160,1),(162,1),(229,1),(243,1)}
       131:{1,3,4,7}:{(102,1),(105,1),(151,1),(160,1),(161,1),(203,1),(204,1),(232,1)}
       132:{3,4,6}:{(103,1),(154,1),(158,1),(162,1)}
       133:{2,3,5,6}:{(103,1),(104,1),(106,1),(155,1),(159,1),(162,1),(163,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(164,1)}
       135:{2,5,7}:{(105,1),(161,1),(164,1),(207,1)}
       136:{1,5,6}:{(106,1),(107,1),(157,1),(201,1)}
       137:{2,4,5,7}:{(108,1),(109,1),(114,1),(165,1),(167,1),(210,1)}
       138:{3,6,7}:{(108,1),(115,1),(165,1)}
       139:{1,3,5,7}:{(109,1),(110,1),(111,1),(117,1),(165,1),(167,1)}
       140:{2,4,6,7}:{(110,1),(118,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{2,4,5}:{(112,1),(120,1),(169,1),(177,1)}
       142:{3,4,6}:{(112,1),(113,1),(115,1),(169,1),(224,1),(240,1)}
       143:{2,3,4,7}:{(113,1),(116,1),(122,1),(170,1),(171,1),(187,1),(210,1),(244,1)}
       144:{3,5,6}:{(114,1),(115,1),(165,1),(169,1),(172,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(238,1)}
       146:{1,3,5,7}:{(116,1),(119,1),(171,1),(174,1),(175,1),(214,1)}
       147:{2,5,6}:{(117,1),(118,1),(167,1),(176,1),(177,1)}
       148:{1,4,6}:{(118,1),(119,1),(174,1),(176,1)}
       149:{1,3,5}:{(120,1),(121,1),(129,1),(169,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,4,7}:{(122,1),(124,1),(178,1),(239,1)}
       152:{1,3,6}:{(123,1),(124,1),(178,1),(180,1)}
       153:{1,2,5,7}:{(124,1),(135,1),(175,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(132,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(181,1),(182,1)}
       156:{1,3,6,7}:{(126,1),(128,1),(134,1),(182,1),(183,1)}
       157:{1,5,7}:{(127,1),(128,1),(136,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,3,5}:{(129,1),(130,1),(177,1),(184,1),(185,1)}
       160:{1,3,4,6}:{(130,1),(131,1),(134,1),(178,1),(185,1),(186,1),(188,1),(220,1),(224,1),(239,1),(240,1)}
       161:{2,4,7}:{(131,1),(135,1),(186,1),(187,1)}
       162:{2,4,6}:{(132,1),(133,1),(181,1),(184,1),(188,1)}
       163:{1,3,5,6}:{(133,1),(134,1),(136,1),(182,1),(185,1),(188,1),(189,1),(224,1)}
       164:{2,6}:{(134,1),(135,1)}
       165:{3,5,7}:{(137,1),(138,1),(144,1),(190,1)}
       166:{2,3,6,7}:{(138,1),(140,1),(145,1),(191,1),(192,1),(241,1)}
       167:{2,5,7}:{(139,1),(140,1),(147,1),(193,1)}
       168:{1,4,6,7}:{(140,1),(148,1),(192,1),(193,1),(225,1)}
       169:{3,5}:{(141,1),(142,1)}
       170:{2,3,4,6}:{(142,1),(143,1),(145,1),(150,1),(195,1),(196,1),(198,1),(208,1),(234,1)}
       171:{1,3,4,7}:{(143,1),(146,1),(151,1),(196,1),(197,1),(203,1),(225,1),(241,1)}
       172:{3,4,6}:{(144,1),(190,1),(194,1),(198,1)}
       173:{2,3,5,6}:{(144,1),(145,1),(147,1),(191,1),(195,1),(198,1),(199,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(200,1)}
       175:{2,5,7}:{(146,1),(197,1),(200,1),(228,1)}
       176:{1,5,6}:{(147,1),(148,1),(193,1),(201,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,4,7}:{(151,1),(153,1),(161,1),(197,1),(202,1),(203,1)}
       180:{1,2,6}:{(152,1),(153,1),(164,1),(200,1)}
       181:{2,4,7}:{(154,1),(155,1),(162,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(156,1),(164,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(162,1),(206,1),(243,1)}
       185:{1,3,5}:{(159,1),(160,1),(201,1),(206,1),(207,1),(233,1)}
       186:{2,4,6}:{(160,1),(161,1),(164,1),(207,1),(208,1),(234,1)}
       187:{2,3,7}:{(161,1),(203,1),(208,1),(232,1)}
       188:{1,4,6}:{(162,1),(163,1),(204,1),(206,1),(209,1)}
       189:{2,5,6}:{(163,1),(164,1),(205,1),(207,1),(209,1)}
       190:{3,4,7}:{(165,1),(172,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(173,1),(210,1),(211,1)}
       192:{1,3,6,7}:{(166,1),(168,1),(174,1),(211,1),(212,1)}
       193:{1,5,7}:{(167,1),(168,1),(176,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,3,5}:{(169,1),(170,1),(177,1),(213,1),(214,1)}
       196:{1,3,4,6}:{(170,1),(171,1),(174,1),(178,1),(214,1),(215,1),(217,1),(220,1),(238,1),(239,1),(244,1)}
       197:{2,4,7}:{(171,1),(175,1),(215,1),(216,1)}
       198:{2,4,6}:{(172,1),(173,1),(210,1),(213,1),(217,1)}
       199:{1,3,5,6}:{(173,1),(174,1),(176,1),(211,1),(214,1),(217,1),(218,1),(238,1)}
       200:{2,6}:{(174,1),(175,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(186,1),(215,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(179,1),(187,1),(216,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(188,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(189,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(188,1),(222,1),(239,1)}
       207:{2,5}:{(185,1),(186,1)}
       208:{2,3,6}:{(186,1),(187,1),(220,1),(223,1),(224,1)}
       209:{2,4,6}:{(188,1),(189,1),(221,1),(222,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(198,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(199,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(192,1),(200,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(198,1),(227,1),(234,1)}
       214:{1,3,5}:{(195,1),(196,1),(201,1),(227,1),(228,1),(242,1)}
       215:{2,4,6}:{(196,1),(197,1),(200,1),(228,1),(229,1),(243,1)}
       216:{2,3,7}:{(197,1),(203,1),(229,1),(241,1)}
       217:{1,4,6}:{(198,1),(199,1),(225,1),(227,1),(230,1)}
       218:{2,5,6}:{(199,1),(200,1),(226,1),(228,1),(230,1)}
       219:{1,2,5}:{(201,1),(202,1),(207,1),(228,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(208,1),(229,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(209,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(209,1),(233,1),(234,1)}
       223:{2,3,5}:{(207,1),(208,1),(231,1),(233,1),(234,1)}
       224:{3,6}:{(209,1),(232,1),(233,1)}
       225:{1,4,7}:{(210,1),(211,1),(217,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(218,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(217,1),(236,1),(239,1)}
       228:{2,5}:{(214,1),(215,1)}
       229:{2,3,6}:{(215,1),(216,1),(220,1),(237,1),(238,1)}
       230:{2,4,6}:{(217,1),(218,1),(235,1),(236,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(223,1),(237,1),(239,1)}
       232:{3,7}:{(221,1),(224,1)}
       233:{3,5}:{(222,1),(224,1),(240,1)}
       234:{2,4}:{(223,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(230,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(230,1),(242,1),(243,1)}
       237:{2,3,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(241,1),(242,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1437 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1438 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(60,1),(127,1),(134,1),(181,1),(186,1),(190,1),(193,1),(199,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(68,1),(81,1),(127,1),(134,1),(137,1),(140,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(11,1),(38,1),(81,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(11,1),(38,1),(136,1),(148,1)}
         4:{1,3,4,5,7}:{(0,1),(12,1),(13,1),(16,1),(39,1),(98,1),(102,1),(151,1),(154,1),(166,1),(216,1),(222,1)}
         5:{2,3,4,6}:{(0,1),(13,1),(14,1),(87,1),(150,1),(218,1),(221,1),(227,1)}
         6:{1,3,4,6,7}:{(1,1),(13,1),(15,1),(16,1),(19,1),(46,1),(55,1),(98,1),(102,1),(112,1),(166,1),(173,1)}
         7:{2,3,5,7}:{(1,1),(14,1),(16,1),(17,1),(169,1),(172,1)}
         8:{1,3,5,6,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(59,1),(112,1)}
         9:{2,4,6,7}:{(2,1),(17,1),(19,1),(20,1)}
        10:{1,4,5,6,7}:{(3,1),(19,1),(21,1),(22,1),(59,1),(106,1),(115,1)}
        11:{3,5,6,7}:{(3,1),(20,1),(169,1),(180,1)}
        12:{2,4,5,7}:{(4,1),(24,1),(25,1),(30,1),(73,1),(122,1),(198,1),(243,1)}
        13:{1,3,4,6}:{(4,1),(5,1),(25,1),(26,1),(62,1),(120,1),(123,1),(248,1)}
        14:{2,3,5,6}:{(5,1),(7,1),(26,1),(27,1),(200,1),(203,1)}
        15:{2,4,6,7}:{(6,1),(25,1),(29,1),(30,1),(73,1),(145,1),(198,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(26,1),(30,1),(31,1),(74,1),(204,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(27,1),(31,1),(32,1),(127,1)}
        18:{2,5,6,7}:{(8,1),(30,1),(35,1),(145,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(31,1),(35,1)}
        20:{3,4,6,7}:{(9,1),(11,1),(32,1)}
        21:{2,4,5,6,7}:{(10,1),(35,1),(37,1),(38,1),(79,1),(84,1)}
        22:{1,3,5,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(139,1)}
        23:{1,2,4,5,7}:{(12,1),(39,1),(40,1),(47,1),(86,1),(98,1),(149,1),(151,1),(158,1),(222,1),(223,1),(265,1),(269,1)}
        24:{2,3,5,7}:{(12,1),(39,1),(41,1),(42,1),(91,1),(226,1),(267,1)}
        25:{2,4,6}:{(12,1),(13,1),(42,1),(43,1)}
        26:{1,3,5,6}:{(13,1),(14,1),(16,1),(43,1),(44,1),(93,1),(232,1)}
        27:{2,4,5,6}:{(14,1),(17,1),(44,1),(45,1),(150,1)}
        28:{1,2,4,6,7}:{(15,1),(40,1),(46,1),(47,1),(95,1),(98,1),(173,1),(174,1),(223,1)}
        29:{2,3,6,7}:{(15,1),(42,1),(46,1),(49,1),(55,1),(226,1)}
        30:{2,5,7}:{(15,1),(16,1),(43,1)}
        31:{1,4,5,7}:{(16,1),(17,1),(19,1),(44,1),(50,1),(98,1)}
        32:{3,4,5,7}:{(17,1),(20,1),(45,1),(159,1),(169,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(52,1),(53,1),(59,1),(116,1),(157,1),(172,1),(174,1),(232,1),(233,1),(277,1)}
        34:{2,3,5,6,7}:{(18,1),(49,1),(52,1),(54,1),(55,1),(100,1),(108,1),(110,1),(172,1),(277,1),(278,1),(304,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(50,1),(55,1)}
        36:{1,3,4,6,7}:{(19,1),(20,1),(22,1),(51,1),(55,1),(56,1),(57,1),(112,1),(115,1),(180,1)}
        37:{3,5,6,7}:{(21,1),(55,1),(57,1),(110,1)}
        38:{2,5,6,7}:{(22,1),(56,1),(59,1),(172,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(60,1),(61,1),(62,1),(119,1),(190,1),(250,1),(285,1)}
        40:{1,2,4,6}:{(23,1),(25,1),(62,1),(63,1),(117,1),(120,1),(189,1),(248,1),(287,1)}
        41:{2,3,4,7}:{(24,1),(61,1),(64,1),(73,1),(286,1)}
        42:{2,3,6}:{(24,1),(25,1),(62,1)}
        43:{2,5,6}:{(25,1),(26,1),(30,1)}
        44:{1,4,5,6}:{(26,1),(27,1),(31,1),(66,1),(120,1)}
        45:{3,4,5,6}:{(27,1),(32,1),(182,1),(200,1)}
        46:{1,3,6,7}:{(28,1),(29,1),(62,1),(68,1),(70,1),(250,1)}
        47:{1,2,5,7}:{(28,1),(30,1),(63,1),(70,1),(126,1),(204,1)}
        48:{2,3,4,6,7}:{(29,1),(64,1),(69,1),(72,1),(73,1),(80,1),(132,1),(140,1),(191,1),(245,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(65,1),(70,1),(73,1),(74,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(35,1),(66,1),(73,1),(74,1)}
        51:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(67,1),(74,1),(75,1),(83,1),(130,1),(135,1),(139,1),(147,1),(210,1)}
        52:{1,3,5,6,7}:{(33,1),(34,1),(70,1),(76,1),(77,1),(78,1),(128,1),(139,1),(141,1),(204,1),(255,1),(259,1)}
        53:{1,2,4,6,7}:{(33,1),(35,1),(71,1),(77,1),(78,1),(82,1),(140,1),(145,1),(148,1),(189,1),(248,1),(287,1),(292,1)}
        54:{2,4,6,7}:{(34,1),(73,1),(77,1),(79,1),(80,1),(132,1),(292,1),(295,1)}
        55:{3,6,7}:{(35,1),(74,1)}
        56:{2,4,6,7}:{(36,1),(38,1),(75,1),(81,1),(82,1),(145,1)}
        57:{3,4,6,7}:{(37,1),(83,1),(84,1)}
        58:{2,3,5,6,7}:{(37,1),(38,1),(81,1),(84,1),(85,1),(143,1)}
        59:{1,5,6,7}:{(38,1),(82,1),(204,1)}
        60:{2,3,5,7}:{(39,1),(86,1),(87,1),(149,1),(269,1),(270,1),(298,1)}
        61:{1,3,4,7}:{(39,1),(41,1),(86,1),(88,1),(98,1),(159,1),(299,1)}
        62:{1,3,6}:{(39,1),(40,1),(42,1),(87,1),(218,1)}
        63:{1,2,5,6}:{(40,1),(43,1),(47,1),(89,1),(149,1),(157,1),(232,1)}
        64:{2,3,4,6}:{(41,1),(42,1),(88,1),(91,1),(92,1)}
        65:{2,3,5,6}:{(42,1),(43,1),(49,1),(89,1),(91,1),(92,1),(93,1)}
        66:{2,4,5,6}:{(43,1),(44,1),(50,1),(92,1),(93,1)}
        67:{1,3,4,5,6}:{(44,1),(45,1),(51,1),(93,1),(94,1),(113,1),(152,1),(156,1),(171,1),(178,1),(237,1)}
        68:{2,3,6,7}:{(46,1),(87,1),(95,1),(96,1),(218,1),(270,1)}
        69:{1,3,4,6,7}:{(46,1),(48,1),(88,1),(95,1),(97,1),(98,1),(159,1),(160,1),(173,1),(218,1),(220,1),(268,1)}
        70:{1,3,5,7}:{(46,1),(47,1),(49,1),(89,1),(96,1),(98,1)}
        71:{1,2,4,5,7}:{(47,1),(50,1),(53,1),(90,1),(98,1),(99,1),(104,1),(106,1),(158,1),(162,1),(167,1),(172,1),(179,1),(222,1),(223,1),(233,1),(269,1),(276,1),(280,1)}
        72:{2,3,5,7}:{(48,1),(91,1),(97,1),(100,1),(101,1),(110,1),(172,1)}
        73:{2,4,7}:{(49,1),(92,1),(98,1),(102,1)}
        74:{3,5,7}:{(50,1),(55,1),(93,1),(102,1)}
        75:{2,4,5,7}:{(51,1),(56,1),(94,1),(103,1),(104,1),(162,1),(167,1),(172,1)}
        76:{2,3,5,6,7}:{(52,1),(96,1),(105,1),(108,1),(116,1),(157,1),(169,1),(172,1),(180,1),(218,1),(229,1),(236,1)}
        77:{1,4,6,7}:{(52,1),(54,1),(98,1),(105,1),(106,1),(160,1),(275,1),(280,1)}
        78:{1,3,6,7}:{(53,1),(55,1),(99,1),(108,1),(180,1),(218,1),(268,1),(304,1)}
        79:{2,4,5,7}:{(54,1),(106,1),(109,1),(110,1),(172,1)}
        80:{3,4,6,7}:{(54,1),(55,1),(102,1),(110,1),(164,1),(304,1),(305,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(103,1),(112,1),(180,1)}
        82:{1,4,6,7}:{(56,1),(59,1),(104,1),(112,1)}
        83:{3,4,5,7}:{(57,1),(110,1),(113,1),(114,1),(305,1)}
        84:{2,4,6,7}:{(57,1),(58,1),(114,1),(115,1)}
        85:{1,3,5,6,7}:{(58,1),(59,1),(112,1),(115,1),(116,1),(176,1),(180,1)}
        86:{2,4,7}:{(60,1),(61,1),(117,1),(308,1)}
        87:{2,3,6}:{(60,1),(62,1),(117,1),(287,1)}
        88:{1,3,4,6}:{(61,1),(62,1),(64,1),(117,1),(119,1),(120,1),(182,1)}
        89:{1,3,5,6}:{(62,1),(63,1),(65,1),(70,1),(118,1),(119,1),(120,1)}
        90:{1,2,4,5,6}:{(63,1),(66,1),(71,1),(120,1),(121,1),(125,1),(138,1),(181,1),(184,1),(188,1),(189,1),(203,1),(209,1),(241,1),(242,1),(248,1),(258,1),(283,1),(287,1),(292,1),(296,1),(312,1)}
        91:{2,3,5}:{(64,1),(119,1),(122,1)}
        92:{2,4,6}:{(65,1),(73,1),(120,1),(122,1),(123,1)}
        93:{3,5,6}:{(66,1),(74,1),(123,1)}
        94:{2,4,5,6}:{(67,1),(75,1),(124,1),(125,1),(184,1),(188,1),(203,1)}
        95:{2,4,6,7}:{(68,1),(69,1),(117,1),(126,1),(127,1),(189,1),(247,1),(287,1)}
        96:{2,3,5,7}:{(68,1),(70,1),(118,1),(126,1),(127,1),(190,1)}
        97:{1,3,5,7}:{(69,1),(72,1),(119,1),(126,1),(128,1),(129,1),(190,1),(204,1)}
        98:{1,4,7}:{(70,1),(73,1),(120,1),(127,1)}
        99:{1,3,5,7}:{(71,1),(74,1),(78,1),(121,1),(130,1),(131,1),(190,1),(210,1),(250,1),(293,1)}
       100:{2,3,5,6}:{(72,1),(128,1),(132,1),(142,1),(203,1),(245,1)}
       101:{2,4,5,7}:{(72,1),(73,1),(122,1),(129,1),(132,1),(133,1)}
       102:{3,4,7}:{(73,1),(74,1),(123,1)}
       103:{2,3,5,7}:{(74,1),(75,1),(81,1),(124,1),(134,1),(135,1),(210,1)}
       104:{1,4,5,7}:{(75,1),(82,1),(125,1),(135,1),(194,1),(204,1)}
       105:{2,4,6,7}:{(76,1),(77,1),(127,1),(136,1),(137,1),(189,1),(253,1),(261,1)}
       106:{1,4,5,7}:{(77,1),(79,1),(136,1),(138,1),(139,1),(204,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(130,1),(137,1),(139,1),(140,1),(192,1)}
       108:{2,3,6,7}:{(78,1),(131,1),(140,1),(141,1),(145,1),(245,1),(287,1)}
       109:{2,4,5,6}:{(79,1),(132,1),(138,1),(142,1),(203,1),(292,1)}
       110:{3,5,7}:{(79,1),(80,1),(142,1)}
       111:{2,3,4,6,7}:{(80,1),(81,1),(84,1),(134,1),(140,1),(143,1),(144,1),(196,1),(257,1),(295,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(135,1),(145,1)}
       113:{3,4,5,6}:{(83,1),(142,1),(146,1),(311,1)}
       114:{2,4,5,7}:{(83,1),(84,1),(143,1),(146,1),(147,1),(295,1)}
       115:{1,4,6,7}:{(84,1),(85,1),(147,1),(148,1)}
       116:{2,5,6,7}:{(85,1),(145,1),(148,1),(207,1)}
       117:{2,4,6}:{(86,1),(87,1),(88,1),(149,1)}
       118:{2,3,5,6}:{(87,1),(89,1),(96,1),(149,1),(150,1),(157,1),(211,1),(218,1)}
       119:{1,3,5}:{(88,1),(91,1),(149,1),(151,1),(211,1)}
       120:{1,4,6}:{(89,1),(92,1),(98,1),(150,1),(151,1)}
       121:{1,3,5,6}:{(90,1),(93,1),(99,1),(152,1),(153,1),(211,1),(218,1),(237,1),(263,1),(266,1),(268,1),(304,1),(314,1)}
       122:{2,4,5}:{(91,1),(92,1),(151,1),(154,1)}
       123:{3,4,6}:{(92,1),(93,1),(102,1),(154,1)}
       124:{2,3,5,6}:{(93,1),(94,1),(103,1),(155,1),(156,1),(237,1)}
       125:{1,4,5,6}:{(94,1),(104,1),(156,1),(214,1),(232,1)}
       126:{2,5,7}:{(95,1),(97,1),(149,1),(157,1)}
       127:{2,4,7}:{(96,1),(98,1),(150,1),(159,1)}
       128:{1,3,5,6}:{(97,1),(100,1),(157,1),(160,1),(218,1),(232,1),(268,1)}
       129:{1,4,5,7}:{(97,1),(98,1),(101,1),(151,1),(158,1),(160,1)}
       130:{1,3,4,7}:{(98,1),(99,1),(102,1),(152,1),(159,1),(162,1),(238,1),(280,1),(305,1)}
       131:{2,3,5,7}:{(99,1),(108,1),(153,1),(162,1),(163,1),(167,1),(172,1),(226,1),(269,1),(270,1)}
       132:{2,4,6}:{(100,1),(101,1),(160,1),(164,1)}
       133:{3,4,5,7}:{(101,1),(102,1),(110,1),(154,1),(164,1)}
       134:{2,3,4,7}:{(102,1),(103,1),(155,1),(162,1),(166,1),(238,1),(270,1)}
       135:{1,3,5,7}:{(103,1),(104,1),(112,1),(156,1),(166,1),(167,1)}
       136:{2,4,5,7}:{(105,1),(106,1),(168,1),(169,1),(172,1)}
       137:{3,4,6,7}:{(105,1),(159,1),(169,1),(180,1),(218,1),(227,1),(238,1)}
       138:{1,4,5,6}:{(106,1),(109,1),(160,1),(168,1),(171,1),(232,1),(275,1)}
       139:{1,3,5,7}:{(106,1),(107,1),(110,1),(169,1),(171,1),(172,1)}
       140:{2,4,6,7}:{(107,1),(108,1),(162,1),(172,1),(173,1),(221,1)}
       141:{1,3,6,7}:{(108,1),(163,1),(173,1),(174,1),(268,1)}
       142:{3,5,6}:{(109,1),(110,1),(164,1),(304,1)}
       143:{2,3,5,7}:{(110,1),(111,1),(114,1),(172,1),(175,1),(176,1)}
       144:{1,3,4,6,7}:{(111,1),(112,1),(115,1),(166,1),(173,1),(176,1),(177,1),(180,1),(224,1),(234,1),(238,1),(280,1)}
       145:{2,6,7}:{(112,1),(167,1)}
       146:{2,4,5,6}:{(113,1),(114,1),(175,1),(178,1),(306,1)}
       147:{1,4,5,7}:{(114,1),(115,1),(176,1),(178,1),(179,1),(280,1)}
       148:{2,4,6,7}:{(115,1),(116,1),(179,1),(180,1)}
       149:{2,5}:{(117,1),(119,1)}
       150:{2,4,6}:{(118,1),(120,1),(127,1),(181,1),(182,1)}
       151:{1,4,5}:{(119,1),(120,1),(122,1),(181,1)}
       152:{1,3,4,6}:{(120,1),(121,1),(123,1),(130,1),(182,1),(183,1),(184,1),(262,1),(296,1),(311,1)}
       153:{2,3,5,6}:{(121,1),(131,1),(184,1),(185,1),(188,1),(203,1),(239,1),(244,1),(245,1),(283,1),(284,1),(287,1)}
       154:{3,4,5}:{(122,1),(123,1)}
       155:{2,3,4,6}:{(123,1),(124,1),(134,1),(184,1),(186,1),(187,1),(262,1),(284,1)}
       156:{1,3,5,6}:{(124,1),(125,1),(135,1),(187,1),(188,1)}
       157:{2,5,6}:{(126,1),(128,1),(189,1),(287,1)}
       158:{2,4,5,7}:{(126,1),(127,1),(129,1),(181,1),(189,1),(190,1)}
       159:{3,4,7}:{(127,1),(182,1),(190,1)}
       160:{1,4,6}:{(128,1),(129,1),(132,1),(189,1)}
       161:{1,3,4,5,7}:{(129,1),(130,1),(133,1),(139,1),(183,1),(190,1),(192,1),(193,1),(199,1),(246,1),(254,1),(293,1)}
       162:{2,4,7}:{(130,1),(131,1),(184,1),(194,1)}
       163:{1,3,5,7}:{(131,1),(141,1),(185,1),(194,1),(195,1),(204,1),(250,1)}
       164:{3,4,6}:{(132,1),(133,1),(142,1)}
       165:{2,3,4,5,7}:{(133,1),(134,1),(143,1),(186,1),(193,1),(196,1),(197,1),(288,1),(293,1),(295,1),(312,1)}
       166:{1,3,4,7}:{(134,1),(135,1),(187,1),(194,1),(198,1),(250,1)}
       167:{2,5,7}:{(135,1),(145,1),(188,1),(198,1)}
       168:{2,4,5,6}:{(136,1),(138,1),(189,1),(200,1),(203,1),(253,1)}
       169:{3,5,7}:{(136,1),(137,1),(200,1)}
       170:{2,3,4,6,7}:{(137,1),(140,1),(191,1),(201,1),(202,1),(208,1),(245,1),(253,1),(261,1),(291,1)}
       171:{1,3,5,6}:{(138,1),(139,1),(142,1),(192,1),(200,1),(203,1)}
       172:{2,5,7}:{(139,1),(140,1),(203,1),(204,1)}
       173:{1,4,6,7}:{(140,1),(141,1),(194,1),(204,1),(248,1)}
       174:{1,2,6,7}:{(141,1),(145,1),(195,1),(287,1)}
       175:{2,3,5,6}:{(142,1),(143,1),(146,1),(196,1),(203,1),(206,1)}
       176:{1,3,5,7}:{(143,1),(144,1),(147,1),(204,1),(206,1),(207,1),(210,1)}
       177:{2,4,6,7}:{(144,1),(145,1),(198,1),(207,1),(208,1),(251,1),(261,1)}
       178:{1,4,5,6}:{(146,1),(147,1),(206,1),(209,1),(296,1)}
       179:{2,4,5,7}:{(147,1),(148,1),(207,1),(209,1),(210,1),(261,1)}
       180:{3,6,7}:{(148,1),(210,1)}
       181:{2,4,5}:{(149,1),(150,1),(151,1),(211,1)}
       182:{3,4,6}:{(150,1),(159,1),(211,1),(218,1)}
       183:{1,3,4,5}:{(151,1),(152,1),(154,1),(211,1),(213,1),(263,1),(282,1),(307,1),(314,1)}
       184:{2,4,6}:{(152,1),(153,1),(162,1),(213,1),(214,1)}
       185:{1,3,5,6}:{(153,1),(163,1),(214,1),(215,1),(232,1),(263,1),(266,1),(268,1)}
       186:{2,3,4,5}:{(154,1),(155,1),(213,1),(216,1),(282,1),(298,1)}
       187:{1,3,4,6}:{(155,1),(156,1),(166,1),(214,1),(216,1),(217,1),(266,1)}
       188:{2,5,6}:{(156,1),(167,1),(217,1)}
       189:{2,4,6}:{(157,1),(158,1),(160,1),(218,1)}
       190:{3,5,7}:{(158,1),(159,1),(211,1),(218,1)}
       191:{2,3,4,7}:{(159,1),(162,1),(212,1),(219,1),(220,1),(226,1),(305,1)}
       192:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(218,1),(221,1),(227,1),(268,1),(275,1),(304,1)}
       193:{2,4,5,7}:{(161,1),(162,1),(172,1),(213,1),(219,1),(221,1),(222,1),(269,1)}
       194:{1,4,7}:{(162,1),(163,1),(214,1)}
       195:{1,2,5,7}:{(163,1),(167,1),(174,1),(215,1),(223,1),(269,1)}
       196:{2,3,4,6}:{(164,1),(165,1),(175,1),(221,1),(224,1),(300,1),(304,1),(306,1)}
       197:{1,3,4,5,7}:{(165,1),(166,1),(176,1),(216,1),(222,1),(224,1),(225,1),(238,1),(272,1),(280,1),(282,1),(307,1)}
       198:{2,4,7}:{(166,1),(167,1),(217,1),(226,1)}
       199:{3,4,5,7}:{(169,1),(227,1),(228,1),(238,1),(282,1)}
       200:{3,5,6}:{(168,1),(169,1),(218,1),(227,1)}
       201:{2,3,5,7}:{(169,1),(170,1),(172,1),(228,1),(229,1),(230,1),(303,1)}
       202:{1,3,4,6,7}:{(170,1),(173,1),(220,1),(230,1),(231,1),(234,1),(268,1),(275,1),(280,1),(302,1),(304,1),(305,1)}
       203:{2,5,6}:{(171,1),(172,1),(221,1),(232,1)}
       204:{1,5,7}:{(172,1),(173,1),(232,1)}
       205:{1,2,4,6,7}:{(173,1),(174,1),(177,1),(223,1),(231,1),(233,1),(234,1),(271,1),(280,1)}
       206:{1,3,5,6}:{(175,1),(176,1),(178,1),(224,1),(232,1),(235,1),(237,1)}
       207:{2,5,7}:{(176,1),(177,1),(235,1)}
       208:{2,3,6,7}:{(177,1),(180,1),(226,1),(234,1),(236,1),(273,1)}
       209:{2,4,5,6}:{(178,1),(179,1),(235,1),(237,1),(281,1)}
       210:{3,5,7}:{(179,1),(180,1),(237,1),(238,1)}
       211:{3,5}:{(181,1),(182,1)}
       212:{2,3,4,6}:{(182,1),(184,1),(191,1),(239,1),(240,1),(244,1),(245,1),(286,1),(311,1)}
       213:{2,4,5}:{(183,1),(184,1),(239,1),(241,1),(283,1)}
       214:{1,4,6}:{(184,1),(185,1),(194,1),(241,1)}
       215:{1,2,5,6}:{(185,1),(188,1),(195,1),(242,1),(283,1),(287,1)}
       216:{1,3,4,5}:{(186,1),(187,1),(241,1),(243,1),(285,1)}
       217:{2,4,6}:{(187,1),(188,1),(198,1),(243,1),(244,1)}
       218:{3,6}:{(189,1),(190,1)}
       219:{2,3,5,7}:{(190,1),(191,1),(193,1),(239,1),(245,1),(246,1),(293,1)}
       220:{1,3,4,7}:{(191,1),(194,1),(240,1),(246,1),(247,1),(250,1)}
       221:{2,4,6}:{(192,1),(193,1),(203,1),(245,1),(248,1),(287,1)}
       222:{1,4,5,7}:{(193,1),(194,1),(204,1),(241,1),(246,1),(248,1)}
       223:{1,2,4,7}:{(194,1),(195,1),(198,1),(242,1),(247,1),(250,1)}
       224:{1,3,4,6}:{(196,1),(197,1),(206,1),(248,1),(251,1),(262,1),(289,1),(296,1)}
       225:{2,4,5,7}:{(197,1),(198,1),(207,1),(243,1),(251,1),(252,1),(261,1),(297,1)}
       226:{2,3,7}:{(198,1),(244,1),(250,1)}
       227:{3,4,6}:{(199,1),(200,1),(253,1)}
       228:{2,4,5,7}:{(199,1),(201,1),(253,1),(254,1),(261,1),(297,1)}
       229:{2,3,5,6}:{(200,1),(201,1),(203,1),(245,1),(253,1),(255,1)}
       230:{1,3,5,7}:{(201,1),(202,1),(204,1),(254,1),(255,1),(256,1),(293,1),(310,1)}
       231:{2,4,6,7}:{(202,1),(247,1),(256,1),(257,1),(287,1),(292,1),(295,1),(309,1)}
       232:{1,5,6}:{(203,1),(204,1),(248,1)}
       233:{1,2,5,7}:{(204,1),(205,1),(207,1),(256,1),(258,1),(259,1)}
       234:{1,3,6,7}:{(205,1),(208,1),(250,1),(257,1),(259,1),(289,1)}
       235:{2,5,6}:{(206,1),(207,1),(251,1)}
       236:{2,3,5,7}:{(207,1),(208,1),(210,1),(259,1),(260,1),(261,1)}
       237:{3,5,6}:{(209,1),(210,1),(262,1)}
       238:{3,4,7}:{(210,1),(261,1),(262,1)}
       239:{2,3,5}:{(211,1),(212,1),(213,1),(263,1),(314,1)}
       240:{1,3,4,6}:{(212,1),(214,1),(220,1),(263,1),(264,1),(266,1),(268,1),(299,1)}
       241:{1,4,5}:{(213,1),(214,1),(263,1)}
       242:{1,2,4,6}:{(214,1),(215,1),(217,1),(223,1),(264,1),(265,1),(266,1)}
       243:{2,4,5}:{(216,1),(217,1),(267,1)}
       244:{2,3,6}:{(217,1),(226,1),(266,1),(267,1)}
       245:{2,3,6}:{(218,1),(219,1),(221,1),(268,1),(304,1)}
       246:{1,3,5,7}:{(219,1),(220,1),(222,1),(263,1),(268,1),(269,1)}
       247:{2,4,7}:{(220,1),(264,1),(269,1),(270,1)}
       248:{1,4,6}:{(221,1),(222,1),(232,1),(268,1)}
       249:{1,2,4,5,7}:{(222,1),(223,1),(225,1),(233,1),(265,1),(269,1),(271,1),(272,1),(276,1),(280,1),(301,1),(307,1),(313,1)}
       250:{1,3,7}:{(223,1),(226,1),(266,1),(270,1)}
       251:{2,4,6}:{(224,1),(225,1),(235,1),(273,1)}
       252:{2,3,5,7}:{(225,1),(226,1),(267,1),(272,1),(273,1),(274,1),(303,1)}
       253:{2,4,6}:{(227,1),(228,1),(229,1),(275,1)}
       254:{1,4,5,7}:{(228,1),(230,1),(275,1),(276,1),(280,1),(307,1)}
       255:{1,3,5,6}:{(229,1),(230,1),(232,1),(268,1),(275,1),(277,1),(304,1)}
       256:{2,5,7}:{(230,1),(231,1),(277,1),(313,1)}
       257:{2,3,6,7}:{(231,1),(234,1),(270,1),(278,1),(300,1),(304,1)}
       258:{1,2,5,6}:{(232,1),(233,1),(235,1),(271,1),(277,1),(279,1),(313,1)}
       259:{1,3,5,7}:{(233,1),(234,1),(236,1),(278,1),(279,1),(280,1)}
       260:{2,3,5,6}:{(235,1),(236,1),(237,1),(273,1),(279,1),(281,1),(303,1)}
       261:{2,4,7}:{(236,1),(238,1),(280,1),(281,1)}
       262:{3,4,6}:{(237,1),(238,1),(281,1),(282,1)}
       263:{1,3,5}:{(239,1),(240,1),(241,1),(283,1)}
       264:{2,4,6}:{(240,1),(247,1),(283,1),(284,1),(287,1),(308,1)}
       265:{1,2,4,5}:{(241,1),(242,1),(243,1),(283,1),(285,1),(308,1)}
       266:{1,3,6}:{(242,1),(244,1),(250,1),(284,1),(285,1)}
       267:{2,3,5}:{(243,1),(244,1),(285,1),(286,1)}
       268:{1,3,6}:{(245,1),(246,1),(248,1),(287,1)}
       269:{2,5,7}:{(246,1),(247,1),(283,1),(287,1)}
       270:{2,3,7}:{(247,1),(250,1),(284,1)}
       271:{1,2,4,6}:{(248,1),(249,1),(251,1),(258,1),(287,1),(289,1),(292,1),(296,1),(309,1)}
       272:{1,3,5,7}:{(249,1),(250,1),(252,1),(285,1),(288,1),(289,1),(290,1),(293,1),(310,1)}
       273:{2,3,6}:{(251,1),(252,1),(289,1)}
       274:{2,3,4,7}:{(252,1),(261,1),(286,1),(290,1),(291,1)}
       275:{1,4,6}:{(253,1),(254,1),(255,1),(292,1)}
       276:{2,4,5,7}:{(254,1),(256,1),(292,1),(293,1),(295,1),(312,1)}
       277:{2,5,6}:{(255,1),(256,1),(287,1),(292,1)}
       278:{2,3,5,7}:{(256,1),(257,1),(259,1),(293,1),(294,1),(295,1)}
       279:{1,3,5,6}:{(258,1),(259,1),(260,1),(289,1),(294,1),(296,1),(310,1)}
       280:{1,4,7}:{(259,1),(261,1),(295,1),(296,1)}
       281:{2,4,6}:{(260,1),(261,1),(262,1),(296,1),(297,1)}
       282:{3,4,5}:{(262,1),(297,1)}
       283:{2,5}:{(263,1),(264,1)}
       284:{2,3,6}:{(264,1),(266,1),(270,1),(298,1)}
       285:{1,3,5}:{(265,1),(266,1),(267,1),(298,1),(299,1)}
       286:{2,3,4}:{(267,1),(299,1)}
       287:{2,6}:{(268,1),(269,1)}
       288:{2,3,5,7}:{(269,1),(270,1),(272,1),(298,1),(300,1),(301,1),(313,1)}
       289:{1,3,6}:{(271,1),(272,1),(273,1),(300,1),(304,1)}
       290:{1,3,4,7}:{(272,1),(274,1),(280,1),(299,1),(301,1),(302,1),(305,1)}
       291:{2,3,4,6}:{(273,1),(274,1),(281,1),(302,1),(303,1)}
       292:{2,4,6}:{(275,1),(276,1),(277,1),(304,1)}
       293:{3,5,7}:{(276,1),(304,1),(305,1),(314,1)}
       294:{2,3,5,6}:{(277,1),(278,1),(279,1),(300,1),(304,1),(306,1),(313,1),(314,1)}
       295:{2,4,7}:{(278,1),(280,1),(305,1),(306,1)}
       296:{1,4,6}:{(279,1),(280,1),(281,1),(306,1),(307,1)}
       297:{2,4,5}:{(281,1),(282,1),(303,1),(307,1)}
       298:{2,3,5}:{(283,1),(284,1),(285,1),(308,1)}
       299:{1,3,4}:{(285,1),(286,1),(308,1)}
       300:{2,3,6}:{(287,1),(288,1),(289,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(308,1),(309,1)}
       302:{1,3,4,6}:{(289,1),(290,1),(291,1),(296,1),(309,1),(310,1),(311,1)}
       303:{2,3,5}:{(291,1),(297,1),(310,1)}
       304:{3,6}:{(292,1),(293,1)}
       305:{3,4,7}:{(293,1),(295,1),(311,1)}
       306:{2,4,6}:{(294,1),(295,1),(296,1),(311,1),(312,1)}
       307:{1,4,5}:{(296,1),(297,1),(310,1),(312,1)}
       308:{2,4}:{(298,1),(299,1)}
       309:{2,4,6}:{(300,1),(301,1),(302,1),(313,1)}
       310:{1,3,5}:{(302,1),(303,1),(307,1),(313,1),(314,1)}
       311:{3,4,6}:{(304,1),(305,1),(306,1),(314,1)}
       312:{2,4,5}:{(306,1),(307,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1439 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(75,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(6,1),(7,1),(105,1),(121,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(57,1),(91,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,4,5,6}:{(1,1),(10,1),(12,1),(13,1),(60,1),(118,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1),(92,1),(117,1)}
         7:{3,4,6,7}:{(2,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(16,1),(17,1),(69,1),(75,1)}
         9:{1,3,4,5}:{(3,1),(16,1),(18,1),(42,1),(49,1),(77,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(22,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(17,1),(20,1),(21,1)}
        12:{2,4,5,6}:{(5,1),(19,1),(22,1),(23,1),(46,1),(110,1),(111,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(78,1),(109,1)}
        14:{2,4,6,7}:{(6,1),(7,1),(21,1),(24,1),(25,1)}
        15:{3,5,6,7}:{(7,1),(25,1),(26,1),(121,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(10,1),(27,1),(28,1),(35,1),(53,1),(60,1)}
        17:{2,3,4,7}:{(8,1),(11,1),(28,1),(86,1),(92,1)}
        18:{2,4,5}:{(9,1),(27,1),(30,1)}
        19:{2,5,6}:{(10,1),(27,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(13,1),(28,1),(33,1),(34,1),(36,1)}
        21:{2,3,6,7}:{(11,1),(14,1),(34,1)}
        22:{3,5,6}:{(12,1),(35,1),(36,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(64,1),(97,1),(99,1)}
        24:{1,4,6,7}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,5,6,7}:{(14,1),(15,1),(38,1),(117,1)}
        26:{4,5,6,7}:{(15,1),(124,1)}
        27:{2,4,6}:{(16,1),(18,1),(19,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(16,1),(17,1),(20,1),(41,1),(50,1),(71,1),(78,1)}
        29:{1,2,4,5}:{(18,1),(39,1),(42,1),(74,1),(77,1),(100,1)}
        30:{2,3,5}:{(18,1),(40,1),(42,1),(43,1)}
        31:{1,2,5,6}:{(19,1),(39,1),(44,1),(45,1),(100,1),(119,1)}
        32:{2,3,5,6}:{(19,1),(22,1),(40,1),(44,1),(46,1),(47,1),(72,1),(103,1),(110,1)}
        33:{2,5,7}:{(19,1),(20,1),(41,1),(48,1)}
        34:{1,3,6,7}:{(20,1),(21,1),(24,1),(48,1),(51,1)}
        35:{3,4,6}:{(22,1),(46,1),(49,1),(50,1)}
        36:{3,5,7}:{(22,1),(23,1),(50,1),(51,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(84,1)}
        38:{1,5,6,7}:{(24,1),(25,1),(52,1),(109,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(31,1),(53,1),(54,1),(60,1),(85,1)}
        40:{2,3,6}:{(27,1),(30,1),(53,1),(56,1)}
        41:{2,4,7}:{(27,1),(28,1),(33,1),(56,1)}
        42:{1,3,5}:{(29,1),(30,1),(53,1),(57,1),(58,1)}
        43:{2,3,4}:{(30,1),(58,1)}
        44:{1,3,5,6}:{(31,1),(32,1),(53,1),(59,1),(60,1),(61,1),(87,1),(113,1),(118,1)}
        45:{1,2,5,7}:{(31,1),(33,1),(54,1),(61,1),(62,1),(112,1)}
        46:{2,4,6}:{(32,1),(35,1),(60,1),(63,1),(64,1)}
        47:{2,3,5,7}:{(32,1),(33,1),(36,1),(56,1),(61,1),(64,1),(65,1),(97,1)}
        48:{2,6,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1)}
        50:{3,4,7}:{(35,1),(36,1),(64,1)}
        51:{3,6,7}:{(36,1),(37,1)}
        52:{2,5,6,7}:{(37,1),(38,1),(68,1),(97,1)}
        53:{1,3,6}:{(39,1),(40,1),(42,1),(69,1),(71,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(45,1),(71,1),(78,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(43,1),(46,1),(70,1),(72,1),(73,1),(103,1)}
        56:{2,3,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,5}:{(42,1),(69,1),(74,1),(100,1)}
        58:{1,3,4}:{(42,1),(43,1),(74,1)}
        59:{2,3,5,6}:{(44,1),(69,1),(75,1),(76,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        60:{1,4,6}:{(44,1),(46,1),(75,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(71,1),(76,1),(78,1),(79,1),(109,1)}
        62:{1,2,6,7}:{(45,1),(48,1),(79,1),(119,1)}
        63:{2,4,5}:{(46,1),(49,1),(72,1),(77,1)}
        64:{2,4,7}:{(46,1),(47,1),(50,1),(78,1)}
        65:{2,3,6,7}:{(47,1),(48,1),(51,1),(79,1),(81,1),(103,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(50,1),(51,1),(81,1),(82,1),(83,1),(84,1)}
        68:{3,5,6,7}:{(51,1),(52,1),(83,1),(84,1)}
        69:{2,3,6}:{(53,1),(57,1),(85,1),(86,1)}
        70:{1,3,4,6}:{(53,1),(55,1),(58,1),(60,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        71:{1,3,7}:{(53,1),(54,1),(56,1),(86,1)}
        72:{2,3,5}:{(55,1),(63,1),(87,1)}
        73:{2,3,4,7}:{(55,1),(56,1),(64,1),(88,1),(89,1)}
        74:{2,4}:{(57,1),(58,1)}
        75:{2,4,6}:{(59,1),(60,1),(90,1),(91,1),(92,1)}
        76:{2,3,5,7}:{(59,1),(61,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        77:{1,4,5}:{(60,1),(63,1),(87,1),(91,1)}
        78:{1,4,7}:{(60,1),(61,1),(64,1),(92,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(65,1),(93,1),(95,1),(113,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(89,1),(94,1),(96,1),(97,1)}
        81:{2,4,6,7}:{(64,1),(65,1),(67,1),(95,1),(96,1),(97,1)}
        82:{3,4,6}:{(66,1),(96,1),(98,1)}
        83:{3,5,7}:{(67,1),(97,1),(98,1),(99,1)}
        84:{4,6,7}:{(68,1),(99,1)}
        85:{2,4,6}:{(69,1),(70,1),(74,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(71,1),(101,1)}
        87:{1,3,5}:{(70,1),(72,1),(77,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(70,1),(71,1),(73,1),(78,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(75,1),(77,1),(100,1),(104,1)}
        92:{2,4,7}:{(75,1),(76,1),(78,1),(105,1)}
        93:{2,3,6,7}:{(76,1),(79,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(81,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(80,1),(82,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(81,1),(83,1),(109,1),(110,1)}
        98:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
        99:{4,5,7}:{(83,1),(84,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1440 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1441 :   0:{3,4,5,6,7}:{(1,1),(53,1),(124,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(40,1),(142,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(155,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(6,1),(30,1),(160,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(37,1),(40,1),(136,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(170,1)}
         6:{2,4,5,6,7}:{(3,1),(9,1),(10,1),(22,1),(174,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(46,1),(54,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(16,1),(27,1),(30,1),(153,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(180,1)}
        10:{3,5,6,7}:{(6,1),(16,1),(183,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(57,1),(70,1),(129,1),(136,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(23,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(168,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(101,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(39,1),(139,1)}
        16:{3,4,6,7}:{(10,1),(22,1),(23,1),(173,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(32,1),(44,1),(55,1),(146,1),(153,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(114,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(152,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(29,1),(30,1),(51,1),(120,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(158,1)}
        23:{3,4,5,7}:{(16,1),(31,1),(32,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(163,1),(168,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(134,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{2,3,5,6,7}:{(21,1),(37,1),(40,1),(66,1),(69,1),(103,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(40,1),(41,1),(140,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1)}
        32:{3,4,5,6}:{(23,1),(42,1),(173,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(108,1),(114,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(145,1),(152,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(116,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(53,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{2,4,6,7}:{(29,1),(30,1),(53,1),(54,1),(122,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(54,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(158,1)}
        43:{3,4,5,6,7}:{(32,1),(56,1),(184,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(127,1),(134,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(132,1),(138,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(134,1),(169,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1),(69,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{3,4,6,7}:{(40,1),(69,1),(105,1)}
        54:{2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(70,1),(140,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(175,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(109,1),(116,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(145,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(113,1),(178,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(86,1),(113,1),(119,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(152,1),(158,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(114,1),(181,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(116,1),(122,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1),(87,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{3,5,7}:{(53,1),(54,1),(87,1)}
        70:{2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(122,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(88,1),(161,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(101,1),(127,1),(134,1),(164,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(127,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(164,1),(174,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(186,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(105,1),(134,1),(140,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(169,1),(175,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(100,1),(134,1),(140,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(100,1),(101,1),(187,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(100,1),(102,1),(103,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(104,1),(106,1)}
        86:{3,4,5,7}:{(69,1),(102,1),(105,1)}
        87:{3,5,6}:{(69,1),(70,1),(105,1)}
        88:{2,4,5,6,7}:{(70,1),(71,1),(104,1),(106,1),(143,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(107,1),(108,1),(177,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(107,1),(109,1),(116,1)}
        91:{2,4,5}:{(73,1),(74,1),(109,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(110,1),(111,1),(124,1),(147,1),(160,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(111,1),(178,1),(185,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(107,1),(112,1),(113,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(108,1),(113,1),(114,1),(119,1),(151,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(109,1),(113,1),(116,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(116,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(111,1),(117,1),(125,1),(154,1),(161,1)}
        99:{2,3,4,6,7}:{(81,1),(112,1),(118,1),(152,1),(158,1),(181,1),(184,1)}
       100:{1,3,5,7}:{(81,1),(82,1),(83,1),(118,1),(119,1),(120,1)}
       101:{1,2,5,6}:{(82,1),(84,1),(114,1),(120,1),(180,1)}
       102:{2,4,5,7}:{(83,1),(86,1),(119,1),(122,1)}
       103:{2,3,5,6}:{(83,1),(84,1),(87,1),(116,1),(120,1),(122,1)}
       104:{2,5,6,7}:{(84,1),(85,1),(117,1)}
       105:{3,4,6}:{(86,1),(87,1),(122,1)}
       106:{3,5,6,7}:{(87,1),(88,1),(125,1)}
       107:{1,3,4,6}:{(89,1),(90,1),(94,1),(126,1),(127,1),(134,1)}
       108:{1,2,4,5}:{(89,1),(91,1),(127,1),(163,1)}
       109:{2,3,5}:{(90,1),(91,1),(127,1)}
       110:{2,4,5,6}:{(91,1),(92,1),(97,1),(130,1),(131,1)}
       111:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(131,1),(144,1),(166,1),(176,1)}
       112:{2,3,4,7}:{(94,1),(126,1),(132,1),(186,1)}
       113:{1,3,5,7}:{(94,1),(95,1),(96,1),(127,1),(132,1),(134,1)}
       114:{1,2,4,6}:{(95,1),(97,1),(101,1),(134,1),(140,1),(168,1)}
       115:{2,3,4,5,7}:{(96,1),(102,1),(129,1),(133,1),(136,1),(167,1),(172,1)}
       116:{2,3,6}:{(96,1),(97,1),(134,1)}
       117:{2,4,6,7}:{(97,1),(98,1),(104,1),(131,1),(137,1)}
       118:{2,3,5,7}:{(99,1),(100,1),(138,1),(139,1),(187,1),(188,1)}
       119:{1,4,5,7}:{(100,1),(102,1),(138,1),(140,1)}
       120:{1,3,5,6}:{(100,1),(101,1),(103,1),(134,1),(139,1),(140,1)}
       121:{1,2,5,6,7}:{(101,1),(104,1),(135,1),(141,1),(187,1)}
       122:{2,4,6}:{(102,1),(103,1),(105,1),(140,1)}
       123:{2,3,5,6,7}:{(103,1),(104,1),(106,1),(137,1),(141,1),(143,1),(172,1)}
       124:{3,4,5,6}:{(105,1),(142,1),(144,1)}
       125:{3,4,6,7}:{(105,1),(106,1),(143,1),(144,1)}
       126:{2,3,4,6}:{(107,1),(112,1),(145,1),(152,1),(177,1)}
       127:{1,3,5}:{(107,1),(108,1),(109,1),(145,1)}
       128:{1,2,4,5,6}:{(108,1),(110,1),(114,1),(147,1),(148,1),(160,1),(177,1),(180,1)}
       129:{2,3,4,5}:{(109,1),(146,1),(149,1)}
       130:{2,3,5,6}:{(109,1),(110,1),(116,1),(147,1),(149,1),(150,1)}
       131:{2,4,5,7}:{(110,1),(111,1),(117,1),(150,1)}
       132:{2,3,5,7}:{(112,1),(113,1),(145,1),(151,1),(152,1)}
       133:{1,3,4,5,7}:{(113,1),(115,1),(119,1),(146,1),(151,1),(153,1),(157,1),(179,1),(182,1)}
       134:{1,3,6}:{(113,1),(114,1),(116,1),(152,1)}
       135:{1,2,4,6,7}:{(114,1),(117,1),(121,1),(148,1),(154,1),(161,1),(181,1)}
       136:{2,3,4,6}:{(115,1),(116,1),(122,1),(153,1),(155,1)}
       137:{2,3,6,7}:{(116,1),(117,1),(150,1),(154,1)}
       138:{2,4,5,7}:{(118,1),(119,1),(157,1),(158,1)}
       139:{2,3,5,6}:{(118,1),(120,1),(152,1),(158,1),(180,1),(183,1)}
       140:{1,4,6}:{(119,1),(120,1),(122,1),(158,1)}
       141:{1,3,5,6,7}:{(120,1),(121,1),(123,1),(154,1),(159,1),(161,1),(182,1)}
       142:{2,4,5,6}:{(122,1),(124,1),(155,1),(160,1),(162,1)}
       143:{2,4,6,7}:{(122,1),(123,1),(125,1),(161,1),(162,1)}
       144:{3,4,5,7}:{(124,1),(125,1),(162,1)}
       145:{2,3,5}:{(126,1),(127,1),(163,1)}
       146:{1,3,4,5}:{(127,1),(129,1),(163,1),(165,1)}
       147:{1,3,5,6}:{(127,1),(128,1),(130,1),(134,1),(164,1),(165,1),(166,1)}
       148:{1,2,4,5,7}:{(128,1),(131,1),(135,1),(166,1),(176,1),(186,1),(187,1)}
       149:{2,3,4,6}:{(129,1),(130,1),(165,1),(167,1)}
       150:{2,3,5,7}:{(130,1),(131,1),(137,1),(166,1),(167,1)}
       151:{2,4,5,7}:{(132,1),(133,1),(163,1),(168,1),(186,1),(187,1)}
       152:{2,3,6}:{(132,1),(134,1),(168,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(136,1),(140,1),(168,1),(170,1),(173,1)}
       154:{1,3,6,7}:{(134,1),(135,1),(137,1),(166,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(142,1),(170,1),(172,1)}
       156:{2,3,4,6,7}:{(136,1),(137,1),(143,1),(167,1),(171,1),(172,1)}
       157:{3,4,5,7}:{(138,1),(173,1),(188,1)}
       158:{2,4,6}:{(138,1),(139,1),(140,1),(173,1)}
       159:{2,3,5,6,7}:{(139,1),(141,1),(169,1),(175,1),(187,1),(188,1)}
       160:{1,4,5,6}:{(140,1),(142,1),(170,1),(174,1),(176,1)}
       161:{1,4,6,7}:{(140,1),(141,1),(143,1),(175,1),(176,1)}
       162:{2,4,5,7}:{(142,1),(143,1),(144,1),(172,1),(176,1)}
       163:{2,4,5}:{(145,1),(146,1),(177,1)}
       164:{2,3,5,6}:{(145,1),(147,1),(152,1),(177,1),(178,1),(180,1)}
       165:{1,3,4,6}:{(146,1),(147,1),(149,1),(177,1),(179,1)}
       166:{1,3,5,7}:{(147,1),(148,1),(150,1),(154,1),(178,1),(179,1)}
       167:{2,3,4,7}:{(149,1),(150,1),(179,1)}
       168:{2,4,6}:{(151,1),(152,1),(153,1),(180,1)}
       169:{2,3,6,7}:{(152,1),(154,1),(178,1),(181,1)}
       170:{1,3,5,6}:{(153,1),(155,1),(160,1),(180,1),(182,1),(183,1)}
       171:{1,3,4,6,7}:{(153,1),(154,1),(156,1),(161,1),(179,1),(181,1),(182,1),(184,1)}
       172:{2,3,5,7}:{(155,1),(156,1),(162,1),(182,1)}
       173:{3,4,6}:{(157,1),(158,1),(183,1)}
       174:{2,4,5,6}:{(158,1),(160,1),(180,1),(183,1),(185,1)}
       175:{2,4,6,7}:{(158,1),(159,1),(161,1),(184,1),(185,1)}
       176:{1,4,5,7}:{(160,1),(161,1),(162,1),(182,1),(185,1)}
       177:{2,4,6}:{(163,1),(164,1),(165,1),(186,1)}
       178:{2,3,5,7}:{(164,1),(166,1),(169,1),(186,1),(187,1)}
       179:{1,3,4,7}:{(165,1),(166,1),(167,1),(186,1)}
       180:{2,5,6}:{(168,1),(170,1),(187,1)}
       181:{2,4,6,7}:{(168,1),(169,1),(171,1),(186,1),(187,1)}
       182:{1,3,5,7}:{(170,1),(171,1),(172,1),(176,1),(187,1),(188,1)}
       183:{3,5,6}:{(173,1),(174,1),(188,1)}
       184:{3,4,6,7}:{(173,1),(175,1),(188,1)}
       185:{2,4,5,7}:{(174,1),(175,1),(176,1),(187,1),(188,1)}
       186:{2,4,7}:{(177,1),(178,1),(179,1)}
       187:{2,5,7}:{(180,1),(181,1),(182,1)}
       188:{3,5,7}:{(183,1),(184,1),(185,1)}

1442 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1443 :   0:{3,4,5}:{(3,1),(4,1),(115,1),(139,1)}
         1:{2,3,4}:{(5,1),(6,1),(63,1),(101,1)}
         2:{4,5,6}:{(8,1),(9,1),(145,1),(152,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1)}
         4:{2,4,5}:{(0,1),(5,1),(11,1),(12,1),(101,1),(130,1)}
         5:{2,3,5}:{(1,1),(4,1),(14,1),(15,1)}
         6:{1,3,4}:{(1,1),(15,1),(16,1),(44,1),(53,1),(85,1)}
         7:{5,6,7}:{(17,1),(153,1)}
         8:{4,5,7}:{(2,1),(17,1),(18,1)}
         9:{3,5,6}:{(2,1),(3,1),(18,1),(19,1),(139,1),(150,1)}
        10:{3,4,7}:{(3,1),(18,1),(20,1)}
        11:{2,4,6}:{(3,1),(4,1),(14,1),(19,1),(20,1),(21,1)}
        12:{1,4,5}:{(4,1),(15,1),(21,1),(22,1),(85,1),(119,1)}
        13:{2,3,4}:{(24,1),(25,1),(30,1),(68,1)}
        14:{2,3,6}:{(5,1),(11,1),(27,1),(28,1)}
        15:{1,3,5}:{(5,1),(6,1),(12,1),(28,1),(29,1),(36,1)}
        16:{2,4}:{(6,1),(29,1),(30,1)}
        17:{4,6,7}:{(7,1),(8,1),(31,1),(152,1)}
        18:{3,5,7}:{(8,1),(9,1),(10,1),(31,1),(32,1)}
        19:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(130,1),(147,1)}
        20:{2,4,7}:{(10,1),(11,1),(27,1),(32,1),(34,1)}
        21:{1,4,6}:{(11,1),(12,1),(28,1),(33,1),(34,1),(35,1)}
        22:{2,4,5}:{(12,1),(29,1),(35,1),(36,1),(68,1),(105,1),(108,1)}
        23:{3,4,5}:{(38,1),(39,1),(53,1),(92,1)}
        24:{2,3,5}:{(13,1),(39,1),(40,1),(41,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1),(44,1),(85,1),(115,1)}
        26:{1,2,4}:{(16,1),(42,1),(43,1),(44,1),(85,1)}
        27:{2,3,7}:{(14,1),(20,1),(45,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(45,1),(46,1),(52,1)}
        29:{2,5}:{(15,1),(16,1),(46,1)}
        30:{2,3}:{(16,1),(44,1)}
        31:{3,6,7}:{(17,1),(18,1),(48,1),(150,1)}
        32:{2,5,7}:{(18,1),(19,1),(20,1),(48,1),(49,1)}
        33:{1,5,6}:{(19,1),(21,1),(49,1),(50,1),(119,1),(141,1)}
        34:{1,4,7}:{(20,1),(21,1),(45,1),(49,1),(51,1)}
        35:{2,4,6}:{(21,1),(22,1),(46,1),(50,1),(51,1),(52,1),(90,1)}
        36:{3,5}:{(22,1),(52,1),(53,1)}
        37:{4,5,6}:{(55,1),(56,1),(108,1),(134,1)}
        38:{3,4,6}:{(23,1),(56,1),(57,1),(58,1)}
        39:{2,4,5}:{(23,1),(24,1),(58,1),(59,1),(68,1),(105,1)}
        40:{2,3,6}:{(24,1),(58,1),(60,1),(61,1)}
        41:{1,3,5}:{(24,1),(25,1),(59,1),(61,1),(62,1),(98,1)}
        42:{2,4}:{(25,1),(62,1),(63,1)}
        43:{1,2,5}:{(26,1),(29,1),(62,1),(64,1),(65,1)}
        44:{1,3}:{(26,1),(30,1),(63,1)}
        45:{1,3,7}:{(27,1),(28,1),(34,1),(66,1),(72,1)}
        46:{2,6}:{(28,1),(29,1),(66,1)}
        47:{2,3,5}:{(29,1),(30,1),(36,1),(65,1),(67,1),(68,1),(105,1)}
        48:{2,6,7}:{(31,1),(32,1),(69,1),(147,1)}
        49:{1,5,7}:{(32,1),(33,1),(34,1),(69,1),(70,1)}
        50:{2,5,6}:{(33,1),(35,1),(70,1),(71,1),(105,1),(132,1)}
        51:{2,4,7}:{(34,1),(35,1),(66,1),(70,1),(72,1),(107,1)}
        52:{3,6}:{(35,1),(36,1),(72,1)}
        53:{3,4}:{(36,1),(68,1)}
        54:{5,6,7}:{(74,1),(142,1)}
        55:{4,5,7}:{(37,1),(74,1),(75,1)}
        56:{3,5,6}:{(37,1),(38,1),(75,1),(76,1),(92,1),(123,1)}
        57:{3,4,7}:{(38,1),(75,1),(77,1)}
        58:{2,4,6}:{(38,1),(39,1),(40,1),(76,1),(77,1),(78,1)}
        59:{1,4,5}:{(39,1),(41,1),(78,1),(79,1),(85,1),(119,1)}
        60:{2,3,7}:{(40,1),(77,1),(80,1)}
        61:{1,3,6}:{(40,1),(41,1),(78,1),(80,1),(81,1),(114,1)}
        62:{2,5}:{(41,1),(42,1),(81,1)}
        63:{2,3}:{(42,1),(44,1)}
        64:{1,2,6}:{(43,1),(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,5}:{(43,1),(44,1),(47,1),(82,1),(84,1),(85,1),(119,1)}
        66:{2,7}:{(45,1),(46,1)}
        67:{2,3,6}:{(46,1),(47,1),(52,1),(84,1),(86,1),(87,1)}
        68:{2,4}:{(47,1),(53,1),(85,1)}
        69:{1,6,7}:{(48,1),(49,1),(88,1),(141,1)}
        70:{2,5,7}:{(49,1),(50,1),(51,1),(88,1),(89,1)}
        71:{3,5,6}:{(50,1),(52,1),(89,1),(90,1),(92,1),(123,1),(142,1)}
        72:{3,7}:{(51,1),(52,1)}
        73:{3,4,6}:{(52,1),(53,1),(87,1),(90,1),(91,1),(92,1),(123,1)}
        74:{4,6,7}:{(54,1),(55,1),(93,1),(134,1)}
        75:{3,5,7}:{(55,1),(56,1),(57,1),(93,1),(94,1)}
        76:{2,5,6}:{(56,1),(58,1),(94,1),(95,1),(105,1),(132,1)}
        77:{2,4,7}:{(57,1),(58,1),(60,1),(94,1),(96,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(95,1),(96,1),(97,1)}
        79:{2,4,5}:{(59,1),(62,1),(97,1),(98,1),(101,1),(130,1),(145,1)}
        80:{1,3,7}:{(60,1),(61,1),(96,1),(99,1),(127,1)}
        81:{2,6}:{(61,1),(62,1),(99,1)}
        82:{2,3,5}:{(62,1),(63,1),(65,1),(98,1),(100,1),(101,1),(130,1)}
        83:{1,2,7}:{(64,1),(66,1),(99,1),(102,1)}
        84:{1,3,6}:{(64,1),(65,1),(67,1),(100,1),(102,1),(103,1)}
        85:{1,4}:{(65,1),(68,1),(101,1)}
        86:{2,3,7}:{(66,1),(67,1),(72,1),(102,1),(104,1)}
        87:{2,4,6}:{(67,1),(68,1),(73,1),(103,1),(104,1),(105,1),(132,1)}
        88:{2,6,7}:{(69,1),(70,1),(106,1),(132,1)}
        89:{3,5,7}:{(70,1),(71,1),(72,1),(106,1),(107,1),(133,1)}
        90:{4,6}:{(71,1),(107,1),(108,1)}
        91:{3,4,7}:{(72,1),(73,1),(104,1),(107,1),(109,1)}
        92:{3,5}:{(73,1),(105,1),(108,1)}
        93:{3,6,7}:{(74,1),(75,1),(110,1),(123,1)}
        94:{2,5,7}:{(75,1),(76,1),(77,1),(110,1),(111,1)}
        95:{1,5,6}:{(76,1),(78,1),(111,1),(112,1),(119,1),(141,1)}
        96:{1,4,7}:{(77,1),(78,1),(80,1),(111,1),(113,1)}
        97:{2,4,6}:{(78,1),(79,1),(81,1),(112,1),(113,1),(114,1),(137,1)}
        98:{3,5}:{(79,1),(114,1),(115,1)}
        99:{2,7}:{(80,1),(81,1)}
       100:{2,3,6}:{(81,1),(82,1),(84,1),(114,1),(116,1),(117,1)}
       101:{2,4}:{(82,1),(85,1),(115,1)}
       102:{1,3,7}:{(83,1),(84,1),(86,1),(116,1),(118,1)}
       103:{1,4,6}:{(84,1),(85,1),(87,1),(117,1),(118,1),(119,1),(141,1)}
       104:{2,4,7}:{(86,1),(87,1),(91,1),(118,1),(120,1)}
       105:{2,5}:{(87,1),(92,1),(119,1)}
       106:{3,6,7}:{(88,1),(89,1),(121,1),(123,1)}
       107:{4,7}:{(89,1),(90,1)}
       108:{4,5}:{(90,1),(92,1)}
       109:{3,5,7}:{(91,1),(92,1),(120,1),(122,1),(123,1)}
       110:{2,6,7}:{(93,1),(94,1),(124,1),(132,1)}
       111:{1,5,7}:{(94,1),(95,1),(96,1),(124,1),(125,1)}
       112:{2,5,6}:{(95,1),(97,1),(125,1),(126,1),(130,1),(147,1)}
       113:{2,4,7}:{(96,1),(97,1),(99,1),(125,1),(127,1),(144,1)}
       114:{3,6}:{(97,1),(98,1),(127,1)}
       115:{3,4}:{(98,1),(101,1)}
       116:{2,3,7}:{(99,1),(100,1),(102,1),(127,1),(129,1)}
       117:{2,4,6}:{(100,1),(101,1),(103,1),(128,1),(129,1),(130,1),(147,1)}
       118:{1,4,7}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       119:{1,5}:{(103,1),(105,1),(130,1)}
       120:{2,5,7}:{(104,1),(105,1),(109,1),(131,1),(132,1)}
       121:{4,6,7}:{(106,1),(107,1),(133,1),(134,1)}
       122:{4,5,7}:{(107,1),(108,1),(109,1),(133,1),(134,1)}
       123:{3,6}:{(109,1),(132,1),(134,1)}
       124:{1,6,7}:{(110,1),(111,1),(135,1),(141,1)}
       125:{2,5,7}:{(111,1),(112,1),(113,1),(135,1),(136,1)}
       126:{3,5,6}:{(112,1),(114,1),(136,1),(137,1),(139,1),(150,1),(153,1)}
       127:{3,7}:{(113,1),(114,1)}
       128:{3,4,6}:{(114,1),(115,1),(117,1),(137,1),(138,1),(139,1),(150,1)}
       129:{2,4,7}:{(116,1),(117,1),(118,1),(138,1),(140,1)}
       130:{2,5}:{(117,1),(119,1),(139,1)}
       131:{1,5,7}:{(118,1),(119,1),(120,1),(140,1),(141,1)}
       132:{2,6}:{(120,1),(123,1),(141,1)}
       133:{5,7}:{(121,1),(142,1)}
       134:{4,6}:{(122,1),(123,1),(142,1)}
       135:{2,6,7}:{(124,1),(125,1),(143,1),(147,1)}
       136:{3,5,7}:{(125,1),(126,1),(127,1),(143,1),(144,1),(151,1)}
       137:{4,6}:{(126,1),(144,1),(145,1)}
       138:{3,4,7}:{(127,1),(128,1),(129,1),(144,1),(146,1)}
       139:{3,5}:{(128,1),(130,1),(145,1)}
       140:{2,5,7}:{(129,1),(130,1),(131,1),(146,1),(147,1)}
       141:{1,6}:{(131,1),(132,1),(147,1)}
       142:{5,6}:{(133,1),(134,1)}
       143:{3,6,7}:{(135,1),(136,1),(148,1),(150,1)}
       144:{4,7}:{(136,1),(137,1)}
       145:{4,5}:{(137,1),(139,1)}
       146:{3,5,7}:{(138,1),(139,1),(140,1),(149,1),(150,1)}
       147:{2,6}:{(140,1),(141,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1444 :   0:{3,5,6,7}:{(2,1),(3,1),(22,1),(23,1),(317,1),(409,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(23,1),(32,1),(64,1),(231,1),(334,1),(408,1),(412,1)}
         2:{2,5,6,7}:{(0,1),(8,1),(9,1),(42,1),(265,1),(370,1)}
         3:{4,6,7}:{(0,1),(10,1),(364,1),(446,1)}
         4:{4,5,6}:{(10,1),(14,1),(381,1),(446,1)}
         5:{3,4,6}:{(1,1),(14,1),(15,1),(446,1),(451,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(15,1),(16,1),(42,1),(55,1),(94,1),(185,1),(287,1)}
         7:{2,3,4,7}:{(13,1),(17,1),(18,1),(94,1),(112,1),(171,1),(185,1),(368,1),(372,1)}
         8:{1,5,6,7}:{(2,1),(19,1),(20,1),(67,1),(214,1),(327,1)}
         9:{2,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(22,1),(63,1),(413,1)}
        10:{4,5,7}:{(3,1),(4,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(24,1),(64,1)}
        12:{2,4,5,6}:{(4,1),(21,1),(25,1),(26,1),(29,1),(71,1),(73,1),(233,1),(314,1),(339,1),(404,1),(413,1)}
        13:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1),(33,1),(412,1),(416,1)}
        14:{3,5,6}:{(4,1),(5,1),(23,1),(29,1),(334,1)}
        15:{2,4,6}:{(5,1),(6,1),(27,1),(29,1),(30,1)}
        16:{1,4,5,7}:{(6,1),(28,1),(30,1),(31,1),(67,1),(83,1),(131,1),(144,1),(240,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1),(73,1),(140,1),(152,1),(153,1),(235,1),(249,1),(338,1),(343,1)}
        18:{1,3,4,7}:{(7,1),(28,1),(34,1),(35,1),(79,1),(82,1),(131,1),(144,1),(220,1),(224,1),(415,1)}
        19:{2,5,6,7}:{(8,1),(36,1),(37,1),(97,1),(166,1),(277,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(37,1),(38,1),(39,1),(93,1),(374,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(12,1),(38,1),(40,1),(42,1),(92,1),(94,1),(265,1),(268,1),(364,1)}
        22:{3,6,7}:{(9,1),(40,1),(451,1)}
        23:{3,5,7}:{(10,1),(11,1),(14,1),(42,1)}
        24:{2,4,6,7}:{(11,1),(15,1),(41,1),(42,1),(43,1),(94,1)}
        25:{1,4,5,6}:{(12,1),(38,1),(44,1),(45,1),(50,1),(102,1),(105,1),(182,1),(262,1),(292,1),(374,1)}
        26:{3,5,6}:{(12,1),(40,1),(46,1),(285,1),(386,1),(451,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1),(451,1),(454,1)}
        28:{1,3,5,7}:{(13,1),(16,1),(18,1),(48,1),(49,1),(52,1),(56,1),(453,1)}
        29:{2,5,6}:{(14,1),(15,1),(42,1),(50,1),(287,1)}
        30:{1,4,6}:{(15,1),(16,1),(48,1),(50,1),(51,1)}
        31:{2,4,5,7}:{(16,1),(49,1),(51,1),(52,1),(97,1),(108,1),(118,1),(175,1),(178,1),(193,1),(195,1)}
        32:{3,4,5}:{(46,1),(55,1),(301,1),(386,1),(442,1)}
        33:{2,3,5}:{(17,1),(55,1),(56,1),(287,1),(386,1),(390,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(48,1),(56,1),(57,1),(105,1),(110,1),(116,1),(186,1),(189,1),(191,1),(198,1),(204,1),(207,1),(389,1)}
        35:{2,4,7}:{(18,1),(49,1),(57,1),(58,1),(271,1)}
        36:{3,5,6,7}:{(19,1),(59,1),(61,1),(123,1),(134,1),(228,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(59,1),(60,1),(61,1),(63,1),(329,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(25,1),(60,1),(62,1),(67,1),(129,1),(131,1),(214,1),(217,1)}
        39:{1,3,6,7}:{(20,1),(22,1),(61,1),(62,1),(63,1),(417,1)}
        40:{3,5,7}:{(21,1),(22,1),(26,1),(64,1),(320,1)}
        41:{2,3,6,7}:{(22,1),(24,1),(27,1),(63,1),(65,1),(66,1)}
        42:{2,5,7}:{(23,1),(24,1),(29,1),(67,1)}
        43:{1,4,6,7}:{(24,1),(30,1),(66,1),(67,1),(68,1),(131,1)}
        44:{2,4,5,6}:{(25,1),(60,1),(69,1),(71,1),(77,1),(122,1),(137,1),(145,1),(149,1),(212,1),(243,1),(329,1)}
        45:{1,3,5,6}:{(25,1),(26,1),(62,1),(69,1),(70,1),(71,1),(344,1),(417,1)}
        46:{3,4,6}:{(26,1),(32,1),(64,1),(73,1),(404,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(29,1),(33,1),(65,1),(71,1),(73,1),(74,1),(140,1)}
        48:{1,3,6}:{(27,1),(28,1),(30,1),(75,1),(78,1),(484,1)}
        49:{2,5,7}:{(28,1),(35,1),(75,1),(84,1)}
        50:{1,5,6}:{(29,1),(30,1),(67,1),(77,1),(240,1)}
        51:{2,4,6}:{(30,1),(31,1),(75,1),(77,1),(78,1),(149,1)}
        52:{3,5,7}:{(31,1),(78,1),(79,1),(150,1),(160,1),(224,1)}
        53:{1,3,4,5}:{(32,1),(70,1),(80,1),(83,1),(136,1),(155,1),(160,1),(230,1),(254,1),(333,1),(344,1)}
        54:{1,2,4,7}:{(35,1),(72,1),(81,1),(82,1),(144,1),(154,1),(323,1),(415,1)}
        55:{2,4,5}:{(32,1),(33,1),(73,1),(83,1),(249,1)}
        56:{1,3,5}:{(33,1),(34,1),(83,1),(84,1),(150,1),(160,1),(240,1),(430,1)}
        57:{2,4,6}:{(34,1),(35,1),(75,1),(84,1),(85,1),(161,1),(237,1),(248,1)}
        58:{2,3,7}:{(35,1),(82,1),(85,1),(224,1)}
        59:{4,6,7}:{(36,1),(87,1),(178,1),(278,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(44,1),(87,1),(89,1),(92,1),(97,1),(166,1),(168,1),(175,1),(178,1)}
        61:{3,6,7}:{(37,1),(89,1),(376,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(45,1),(89,1),(91,1),(92,1)}
        63:{2,6,7}:{(39,1),(92,1),(93,1),(454,1)}
        64:{3,4,7}:{(40,1),(46,1),(94,1),(364,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(92,1),(94,1),(95,1),(171,1)}
        66:{1,3,6,7}:{(41,1),(43,1),(48,1),(93,1),(95,1),(96,1),(98,1)}
        67:{1,5,7}:{(42,1),(43,1),(50,1),(97,1)}
        68:{2,4,6,7}:{(43,1),(51,1),(96,1),(97,1),(98,1),(175,1),(178,1)}
        69:{3,5,6}:{(44,1),(89,1),(99,1),(191,1),(295,1),(376,1)}
        70:{1,3,4,6}:{(45,1),(46,1),(53,1),(91,1),(99,1),(101,1),(105,1),(182,1),(186,1),(191,1),(285,1)}
        71:{2,5,6}:{(45,1),(92,1),(101,1),(102,1),(390,1),(454,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(103,1),(104,1),(115,1),(201,1),(453,1)}
        73:{2,4,6}:{(46,1),(47,1),(55,1),(94,1),(105,1)}
        74:{1,3,5,6}:{(47,1),(48,1),(50,1),(56,1),(95,1),(102,1),(105,1),(106,1),(109,1),(186,1),(191,1)}
        75:{2,6}:{(48,1),(49,1)}
        76:{2,3,5,7}:{(49,1),(52,1),(58,1),(104,1),(107,1),(108,1),(119,1),(193,1)}
        77:{2,5,6}:{(50,1),(51,1),(97,1),(109,1),(193,1)}
        78:{3,6}:{(51,1),(52,1)}
        79:{3,4,7}:{(52,1),(108,1),(110,1),(178,1),(207,1)}
        80:{2,4,5}:{(53,1),(101,1),(113,1),(114,1),(202,1),(306,1),(390,1)}
        81:{1,2,4,6}:{(54,1),(57,1),(103,1),(115,1),(116,1),(189,1),(200,1),(204,1),(289,1),(299,1),(389,1)}
        82:{1,3,7}:{(54,1),(58,1),(112,1),(116,1)}
        83:{1,4,5}:{(55,1),(56,1),(105,1),(118,1),(195,1),(204,1)}
        84:{2,5}:{(56,1),(57,1)}
        85:{2,3,6}:{(57,1),(58,1),(116,1),(119,1),(191,1),(300,1)}
        86:{2,3,4,7}:{(58,1),(108,1),(117,1),(120,1),(121,1),(275,1),(311,1),(372,1),(469,1)}
        87:{4,5,7}:{(59,1),(122,1),(123,1)}
        88:{3,4,6,7}:{(59,1),(61,1),(123,1),(124,1),(125,1),(211,1)}
        89:{3,5,7}:{(60,1),(61,1),(69,1),(125,1),(224,1)}
        90:{2,3,6,7}:{(61,1),(63,1),(124,1),(126,1),(127,1),(312,1)}
        91:{1,3,4,7}:{(62,1),(64,1),(70,1),(125,1),(128,1),(131,1),(217,1),(220,1),(224,1),(320,1)}
        92:{2,5,7}:{(62,1),(63,1),(71,1),(128,1),(129,1)}
        93:{1,6,7}:{(63,1),(129,1),(484,1)}
        94:{2,4,7}:{(64,1),(65,1),(73,1),(131,1)}
        95:{1,3,5,7}:{(65,1),(66,1),(67,1),(74,1),(129,1),(131,1),(132,1),(134,1),(220,1),(224,1)}
        96:{2,6,7}:{(66,1),(75,1),(132,1)}
        97:{2,5,7}:{(67,1),(68,1),(77,1),(134,1)}
        98:{3,6,7}:{(68,1),(78,1),(134,1),(224,1)}
        99:{3,4,6}:{(69,1),(125,1),(136,1),(137,1),(149,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(126,1),(137,1),(138,1),(140,1),(212,1),(229,1),(312,1)}
       101:{2,4,6}:{(70,1),(71,1),(80,1),(128,1),(140,1),(141,1),(237,1)}
       102:{1,5,6}:{(71,1),(129,1),(141,1),(430,1),(484,1)}
       103:{1,2,6}:{(72,1),(75,1),(143,1),(251,1),(484,1)}
       104:{1,3,5,7}:{(72,1),(76,1),(82,1),(139,1),(143,1),(144,1),(157,1),(240,1)}
       105:{1,4,6}:{(73,1),(74,1),(83,1),(131,1),(145,1),(149,1)}
       106:{2,5,6}:{(74,1),(75,1),(84,1),(132,1),(145,1),(237,1)}
       107:{2,3,6}:{(75,1),(76,1),(78,1),(143,1),(147,1)}
       108:{2,4,7}:{(76,1),(79,1),(144,1),(147,1),(161,1)}
       109:{3,5,6}:{(77,1),(78,1),(134,1),(149,1),(150,1)}
       110:{3,4,6}:{(78,1),(79,1),(147,1),(149,1),(150,1)}
       111:{3,4,5,7}:{(79,1),(148,1),(150,1),(151,1),(227,1),(247,1),(258,1),(328,1),(358,1)}
       112:{2,3,7}:{(82,1),(153,1),(154,1),(436,1)}
       113:{2,3,5}:{(80,1),(140,1),(152,1),(155,1),(160,1),(333,1)}
       114:{1,4,5}:{(80,1),(141,1),(155,1),(354,1),(430,1)}
       115:{1,2,5}:{(81,1),(84,1),(157,1),(240,1),(250,1),(430,1)}
       116:{1,3,6}:{(81,1),(82,1),(85,1),(153,1),(157,1),(349,1)}
       117:{1,3,4,7}:{(82,1),(86,1),(144,1),(154,1),(158,1),(159,1),(231,1),(357,1),(415,1),(436,1),(495,1)}
       118:{2,4,5}:{(83,1),(84,1),(145,1),(160,1),(161,1)}
       119:{2,3,5}:{(84,1),(85,1),(157,1),(160,1),(161,1)}
       120:{2,3,4,6}:{(85,1),(86,1),(147,1),(158,1),(161,1),(162,1),(163,1),(242,1),(259,1),(343,1),(350,1),(435,1)}
       121:{2,3,5,7}:{(86,1),(148,1),(159,1),(162,1),(163,1),(328,1),(416,1)}
       122:{4,5,6}:{(87,1),(164,1),(278,1),(546,1)}
       123:{3,5,7}:{(87,1),(88,1),(164,1),(166,1)}
       124:{2,4,6,7}:{(88,1),(90,1),(166,1),(167,1),(168,1),(261,1)}
       125:{3,4,7}:{(89,1),(99,1),(168,1),(178,1)}
       126:{2,3,5,7}:{(89,1),(90,1),(92,1),(100,1),(166,1),(168,1),(169,1),(171,1)}
       127:{1,3,6,7}:{(90,1),(93,1),(167,1),(169,1),(170,1),(266,1),(359,1)}
       128:{2,4,7}:{(91,1),(92,1),(101,1),(171,1),(172,1),(271,1)}
       129:{1,5,7}:{(92,1),(93,1),(102,1),(172,1)}
       130:{1,2,6,7}:{(93,1),(96,1),(103,1),(170,1),(173,1),(174,1),(304,1),(439,1),(454,1),(508,1),(537,1)}
       131:{1,4,7}:{(94,1),(95,1),(105,1),(175,1),(178,1)}
       132:{2,5,7}:{(95,1),(96,1),(106,1),(175,1),(271,1)}
       133:{2,3,6,7}:{(96,1),(98,1),(107,1),(174,1),(176,1),(177,1),(376,1),(454,1),(496,1),(537,1),(549,1)}
       134:{3,5,7}:{(97,1),(98,1),(109,1),(178,1)}
       135:{3,4,6,7}:{(98,1),(110,1),(177,1),(178,1),(179,1),(275,1),(278,1),(376,1),(530,1),(549,1),(552,1)}
       136:{3,4,5}:{(99,1),(180,1),(195,1),(295,1),(509,1)}
       137:{2,4,6}:{(99,1),(100,1),(168,1),(180,1),(182,1)}
       138:{1,3,5,6}:{(100,1),(102,1),(169,1),(182,1),(183,1),(186,1),(262,1),(280,1),(285,1),(359,1),(361,1)}
       139:{2,3,5,7}:{(104,1),(112,1),(184,1),(185,1),(199,1),(201,1),(283,1),(287,1)}
       140:{2,3,6}:{(101,1),(113,1),(171,1),(186,1),(191,1),(285,1)}
       141:{1,4,6}:{(101,1),(102,1),(114,1),(172,1),(186,1)}
       142:{1,2,5,6}:{(102,1),(103,1),(106,1),(115,1),(173,1),(183,1),(187,1),(188,1),(289,1),(303,1),(378,1),(390,1),(439,1),(454,1),(465,1),(513,1)}
       143:{1,3,6}:{(103,1),(104,1),(107,1),(184,1),(189,1)}
       144:{1,4,7}:{(104,1),(108,1),(185,1),(189,1),(204,1)}
       145:{2,4,6}:{(105,1),(106,1),(118,1),(175,1),(191,1)}
       146:{2,3,5,6}:{(106,1),(107,1),(109,1),(119,1),(176,1),(188,1),(191,1),(192,1),(193,1),(277,1),(290,1),(295,1),(376,1),(390,1),(454,1),(456,1),(496,1),(513,1),(531,1),(538,1),(547,1)}
       147:{2,4,6}:{(107,1),(108,1),(110,1),(189,1),(193,1)}
       148:{2,4,5,7}:{(108,1),(111,1),(121,1),(190,1),(193,1),(194,1),(208,1),(297,1),(311,1)}
       149:{4,6}:{(109,1),(178,1),(195,1)}
       150:{3,5}:{(110,1),(193,1),(195,1)}
       151:{3,4,6}:{(111,1),(194,1),(196,1),(278,1),(376,1)}
       152:{2,3,4}:{(113,1),(198,1),(207,1),(306,1),(380,1),(394,1)}
       153:{2,3,6}:{(112,1),(116,1),(199,1),(200,1),(394,1),(397,1)}
       154:{2,4,7}:{(112,1),(117,1),(200,1),(201,1),(515,1)}
       155:{1,3,5}:{(113,1),(114,1),(186,1),(198,1),(202,1)}
       156:{1,2,4,5}:{(114,1),(115,1),(118,1),(187,1),(202,1),(203,1),(204,1),(281,1),(292,1),(299,1),(302,1),(306,1),(378,1),(390,1),(399,1),(457,1),(467,1),(510,1)}
       157:{1,3,5}:{(115,1),(116,1),(119,1),(199,1),(204,1)}
       158:{1,3,4,6}:{(116,1),(117,1),(120,1),(189,1),(200,1),(204,1),(205,1),(206,1),(282,1),(301,1),(308,1),(389,1),(395,1),(397,1),(468,1)}
       159:{1,3,5,7}:{(117,1),(121,1),(190,1),(201,1),(205,1),(206,1),(283,1),(453,1)}
       160:{3,5}:{(118,1),(191,1),(207,1)}
       161:{2,4}:{(119,1),(204,1),(207,1)}
       162:{2,3,5}:{(120,1),(193,1),(205,1),(208,1),(295,1),(390,1)}
       163:{2,3,6}:{(121,1),(194,1),(206,1),(376,1),(454,1)}
       164:{3,5,6}:{(122,1),(123,1),(211,1),(212,1),(540,1)}
       165:{3,4,5,7}:{(123,1),(125,1),(136,1),(211,1),(213,1),(227,1),(328,1),(520,1),(540,1)}
       166:{2,5,7}:{(123,1),(124,1),(212,1),(214,1)}
       167:{1,4,6,7}:{(124,1),(127,1),(214,1),(215,1),(217,1),(313,1)}
       168:{2,4,7}:{(125,1),(126,1),(137,1),(217,1)}
       169:{1,3,5,7}:{(126,1),(127,1),(129,1),(138,1),(214,1),(217,1),(218,1),(220,1),(317,1),(320,1)}
       170:{2,6,7}:{(127,1),(218,1),(402,1)}
       171:{2,3,7}:{(128,1),(140,1),(220,1),(224,1),(320,1)}
       172:{1,4,7}:{(128,1),(129,1),(141,1),(220,1)}
       173:{1,2,5,7}:{(129,1),(130,1),(132,1),(142,1),(218,1),(221,1),(222,1),(323,1),(353,1),(416,1),(493,1),(529,1)}
       174:{1,3,6,7}:{(130,1),(133,1),(143,1),(219,1),(222,1),(223,1),(417,1),(471,1),(484,1)}
       175:{2,4,7}:{(131,1),(132,1),(145,1),(224,1)}
       176:{2,3,5,7}:{(132,1),(133,1),(134,1),(146,1),(222,1),(224,1),(225,1),(226,1),(324,1),(328,1),(416,1),(529,1),(545,1),(551,1)}
       177:{2,4,6,7}:{(133,1),(135,1),(147,1),(223,1),(225,1),(226,1),(329,1),(516,1)}
       178:{4,7}:{(134,1),(149,1)}
       179:{3,5,7}:{(135,1),(150,1),(226,1),(227,1),(228,1),(540,1)}
       180:{2,4,5}:{(136,1),(137,1),(229,1),(230,1),(486,1)}
       181:{2,3,4,6}:{(137,1),(140,1),(152,1),(216,1),(229,1),(232,1),(242,1),(312,1),(343,1),(425,1),(486,1),(516,1)}
       182:{1,4,6}:{(137,1),(138,1),(217,1),(230,1),(233,1),(404,1)}
       183:{2,5,6}:{(138,1),(218,1),(233,1),(237,1),(332,1),(402,1)}
       184:{2,3,6}:{(139,1),(143,1),(235,1),(251,1),(335,1)}
       185:{2,4,7}:{(139,1),(144,1),(231,1),(235,1),(249,1)}
       186:{1,3,6}:{(140,1),(141,1),(155,1),(220,1),(237,1)}
       187:{1,2,4,6}:{(141,1),(142,1),(145,1),(156,1),(221,1),(233,1),(237,1),(238,1),(239,1),(343,1),(352,1),(437,1),(494,1),(527,1)}
       188:{1,3,5,6}:{(142,1),(143,1),(146,1),(157,1),(222,1),(234,1),(238,1),(239,1),(240,1),(327,1),(342,1),(344,1),(417,1),(420,1),(430,1),(471,1),(484,1),(517,1)}
       189:{1,4,6}:{(143,1),(144,1),(147,1),(235,1),(240,1)}
       190:{1,4,5,7}:{(144,1),(148,1),(159,1),(236,1),(240,1),(241,1),(255,1),(346,1),(357,1)}
       191:{3,6}:{(145,1),(160,1),(224,1)}
       192:{2,4,6}:{(146,1),(149,1),(161,1),(225,1),(239,1),(242,1),(243,1),(486,1),(550,1)}
       193:{2,5}:{(147,1),(150,1),(240,1)}
       194:{2,4,6}:{(148,1),(151,1),(163,1),(241,1),(244,1)}
       195:{4,5}:{(149,1),(150,1)}
       196:{3,5,6}:{(150,1),(151,1),(244,1),(246,1),(247,1)}
       197:{3,4,6,7}:{(151,1),(245,1),(247,1),(331,1),(358,1),(419,1)}
       198:{1,3,4}:{(152,1),(155,1),(248,1),(349,1),(354,1)}
       199:{2,3,5}:{(153,1),(157,1),(249,1),(250,1),(351,1)}
       200:{2,4,6}:{(153,1),(154,1),(158,1),(249,1),(250,1),(251,1),(433,1),(494,1)}
       201:{2,5,7}:{(154,1),(159,1),(250,1),(251,1)}
       202:{2,5}:{(155,1),(237,1),(248,1)}
       203:{1,3,5}:{(156,1),(160,1),(238,1),(253,1),(254,1),(333,1),(349,1),(351,1),(526,1)}
       204:{1,4}:{(157,1),(161,1),(249,1)}
       205:{1,3,5}:{(158,1),(162,1),(240,1),(250,1),(255,1),(334,1),(351,1),(430,1)}
       206:{1,3,6}:{(159,1),(163,1),(241,1),(251,1),(335,1),(484,1)}
       207:{3,4}:{(160,1),(161,1)}
       208:{2,4,5}:{(161,1),(162,1),(255,1),(258,1),(259,1)}
       209:{2,3,5,6}:{(162,1),(163,1),(244,1),(256,1),(259,1),(260,1),(347,1),(431,1),(435,1)}
       210:{2,3,6,7}:{(163,1),(245,1),(257,1),(260,1),(419,1),(485,1)}
       211:{3,4,6}:{(164,1),(165,1),(261,1),(278,1),(376,1)}
       212:{2,5,6}:{(164,1),(166,1),(261,1),(262,1),(531,1)}
       213:{2,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(261,1),(263,1),(264,1),(501,1),(531,1)}
       214:{1,5,7}:{(166,1),(167,1),(262,1),(265,1)}
       215:{2,4,6,7}:{(167,1),(170,1),(265,1),(266,1),(268,1),(360,1),(364,1)}
       216:{2,3,4,7}:{(168,1),(171,1),(181,1),(263,1),(267,1),(275,1),(372,1),(448,1),(501,1)}
       217:{1,4,7}:{(168,1),(169,1),(182,1),(268,1),(364,1)}
       218:{2,5,7}:{(169,1),(170,1),(183,1),(268,1),(271,1)}
       219:{2,3,6,7}:{(170,1),(174,1),(184,1),(266,1),(269,1),(270,1),(304,1),(383,1),(440,1),(451,1),(454,1)}
       220:{1,3,7}:{(171,1),(172,1),(186,1),(271,1)}
       221:{1,2,4,7}:{(172,1),(173,1),(175,1),(187,1),(268,1),(271,1),(272,1),(273,1),(372,1),(398,1),(470,1),(515,1),(539,1)}
       222:{1,3,5,7}:{(173,1),(174,1),(176,1),(188,1),(269,1),(272,1),(273,1),(274,1),(371,1),(453,1)}
       223:{1,4,6,7}:{(174,1),(177,1),(189,1),(270,1),(273,1),(274,1),(374,1),(497,1)}
       224:{3,7}:{(175,1),(191,1)}
       225:{2,4,7}:{(176,1),(178,1),(192,1),(273,1),(275,1),(552,1)}
       226:{2,5,7}:{(177,1),(179,1),(193,1),(274,1),(277,1),(531,1)}
       227:{4,5,7}:{(178,1),(179,1),(195,1),(278,1),(546,1),(552,1)}
       228:{3,5,6}:{(179,1),(277,1),(278,1),(376,1)}
       229:{2,3,5}:{(180,1),(181,1),(280,1),(295,1),(390,1),(531,1)}
       230:{1,4,5}:{(180,1),(182,1),(280,1),(281,1),(442,1),(457,1)}
       231:{3,4,7}:{(185,1),(282,1),(283,1),(301,1),(460,1)}
       232:{1,3,4,6}:{(181,1),(182,1),(186,1),(198,1),(267,1),(280,1),(284,1),(285,1),(359,1),(380,1),(384,1),(389,1),(441,1),(457,1),(497,1)}
       233:{2,4,6}:{(182,1),(183,1),(268,1),(281,1),(285,1)}
       234:{2,3,5,6}:{(183,1),(184,1),(188,1),(199,1),(269,1),(285,1),(286,1),(287,1),(290,1),(303,1),(361,1),(370,1),(379,1),(382,1),(386,1),(390,1),(397,1),(440,1),(451,1),(454,1),(498,1)}
       235:{2,4,6}:{(184,1),(185,1),(189,1),(282,1),(287,1)}
       236:{2,4,5,7}:{(185,1),(190,1),(201,1),(283,1),(287,1),(288,1),(302,1),(381,1),(388,1),(398,1),(460,1)}
       237:{2,6}:{(186,1),(202,1),(271,1)}
       238:{1,3,6}:{(187,1),(191,1),(203,1),(272,1),(285,1),(290,1),(397,1),(538,1)}
       239:{1,4,6}:{(188,1),(192,1),(204,1),(273,1),(286,1),(292,1),(457,1)}
       240:{1,5}:{(189,1),(193,1),(287,1)}
       241:{1,4,6}:{(190,1),(194,1),(206,1),(288,1),(293,1)}
       242:{3,4,6}:{(191,1),(192,1),(207,1),(275,1),(295,1),(376,1),(509,1),(538,1)}
       243:{2,4,5}:{(192,1),(193,1),(195,1),(292,1),(295,1),(390,1),(531,1),(546,1)}
       244:{2,5,6}:{(193,1),(194,1),(196,1),(293,1),(297,1)}
       245:{2,4,6,7}:{(194,1),(197,1),(210,1),(294,1),(297,1),(311,1)}
       246:{4,5,6}:{(195,1),(196,1),(278,1),(298,1)}
       247:{3,5,7}:{(196,1),(197,1),(297,1),(298,1)}
       248:{2,4}:{(198,1),(202,1),(300,1)}
       249:{2,4}:{(199,1),(204,1),(301,1)}
       250:{2,5}:{(200,1),(205,1)}
       251:{2,6}:{(201,1),(206,1)}
       252:{1,2,5}:{(202,1),(289,1),(299,1),(305,1),(467,1)}
       253:{2,3,5}:{(202,1),(203,1),(290,1),(300,1),(305,1),(306,1),(390,1),(394,1),(467,1)}
       254:{1,3,4}:{(203,1),(204,1),(207,1),(301,1),(306,1),(380,1),(457,1),(509,1)}
       255:{1,4,5}:{(204,1),(205,1),(208,1),(302,1),(308,1),(381,1)}
       256:{1,3,5,6}:{(205,1),(206,1),(209,1),(293,1),(303,1),(308,1),(309,1),(382,1),(397,1),(465,1),(468,1)}
       257:{1,3,6,7}:{(206,1),(210,1),(294,1),(304,1),(309,1),(383,1),(508,1)}
       258:{3,4,5}:{(207,1),(208,1),(295,1),(310,1),(546,1)}
       259:{2,4,6}:{(208,1),(209,1),(308,1),(310,1),(311,1)}
       260:{2,3,5,7}:{(209,1),(210,1),(297,1),(309,1),(311,1),(393,1),(466,1),(469,1)}
       261:{2,4,6}:{(211,1),(212,1),(213,1),(312,1),(313,1)}
       262:{1,5,6}:{(212,1),(214,1),(313,1),(314,1),(517,1)}
       263:{2,3,5,7}:{(213,1),(216,1),(229,1),(312,1),(315,1),(328,1),(416,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(217,1),(230,1),(313,1),(315,1),(316,1),(476,1),(517,1)}
       265:{2,5,7}:{(214,1),(215,1),(314,1),(317,1)}
       266:{3,6,7}:{(215,1),(317,1),(320,1),(403,1)}
       267:{1,3,4,7}:{(216,1),(217,1),(220,1),(232,1),(315,1),(319,1),(320,1),(407,1),(410,1),(415,1),(476,1)}
       268:{2,4,7}:{(217,1),(218,1),(233,1),(320,1)}
       269:{2,3,5,7}:{(218,1),(219,1),(222,1),(234,1),(317,1),(320,1),(321,1),(322,1),(324,1),(353,1),(412,1),(416,1),(424,1),(436,1)}
       270:{2,4,6,7}:{(219,1),(223,1),(235,1),(318,1),(321,1),(322,1),(413,1),(472,1)}
       271:{2,7}:{(220,1),(237,1)}
       272:{1,3,7}:{(221,1),(224,1),(238,1),(320,1),(324,1),(436,1),(545,1)}
       273:{1,4,7}:{(222,1),(225,1),(239,1),(321,1)}
       274:{1,5,7}:{(223,1),(226,1),(240,1),(322,1),(327,1),(517,1)}
       275:{3,4,7}:{(224,1),(225,1),(242,1),(328,1),(545,1)}
       276:{2,4,5,7}:{(225,1),(226,1),(227,1),(243,1),(326,1),(328,1),(329,1),(416,1)}
       277:{2,5,6}:{(226,1),(228,1),(327,1),(329,1)}
       278:{4,6}:{(227,1),(228,1)}
       279:{3,5,6,7}:{(228,1),(247,1),(330,1),(331,1),(419,1),(551,1)}
       280:{1,3,5}:{(229,1),(230,1),(232,1),(332,1),(333,1),(430,1),(473,1),(517,1)}
       281:{2,4,5}:{(230,1),(233,1),(332,1),(333,1),(421,1)}
       282:{3,4,6}:{(231,1),(235,1),(334,1),(335,1),(423,1)}
       283:{3,5,7}:{(231,1),(236,1),(334,1),(335,1),(351,1),(436,1)}
       284:{2,4,6}:{(232,1),(237,1),(248,1),(319,1),(332,1),(337,1),(402,1),(421,1)}
       285:{3,6}:{(233,1),(320,1),(333,1)}
       286:{2,4,6}:{(234,1),(239,1),(249,1),(321,1),(338,1),(339,1),(404,1),(421,1),(423,1)}
       287:{2,5}:{(235,1),(240,1),(334,1)}
       288:{2,4,6}:{(236,1),(241,1),(251,1),(335,1),(340,1),(423,1)}
       289:{1,2,6}:{(237,1),(252,1),(323,1),(342,1),(494,1)}
       290:{2,3,6}:{(237,1),(238,1),(253,1),(324,1),(342,1),(343,1),(494,1)}
       291:{1,3,4,6}:{(238,1),(239,1),(242,1),(254,1),(325,1),(338,1),(343,1),(344,1),(417,1)}
       292:{1,4,5}:{(239,1),(240,1),(243,1),(339,1),(344,1),(430,1),(517,1)}
       293:{1,5,6}:{(240,1),(241,1),(244,1),(340,1),(346,1)}
       294:{1,4,6,7}:{(241,1),(245,1),(257,1),(341,1),(346,1),(357,1)}
       295:{3,5}:{(242,1),(243,1)}
       296:{2,4,5,6}:{(243,1),(244,1),(246,1),(259,1),(329,1),(345,1),(347,1),(348,1),(431,1),(527,1),(541,1),(550,1)}
       297:{2,5,7}:{(244,1),(245,1),(247,1),(346,1)}
       298:{4,5,7}:{(246,1),(247,1),(331,1)}
       299:{1,2,4}:{(248,1),(252,1),(349,1),(354,1),(433,1)}
       300:{2,3}:{(248,1),(349,1)}
       301:{3,4}:{(249,1),(351,1)}
       302:{2,4,5}:{(249,1),(250,1),(255,1),(351,1),(352,1)}
       303:{2,5,6}:{(250,1),(251,1),(256,1),(352,1),(353,1),(494,1)}
       304:{2,6,7}:{(251,1),(257,1),(353,1)}
       305:{1,3,5}:{(252,1),(253,1),(342,1),(349,1),(354,1),(430,1)}
       306:{2,4}:{(253,1),(254,1),(354,1)}
       307:{1,3,4,5}:{(254,1),(255,1),(258,1),(344,1),(351,1),(355,1),(356,1),(422,1),(434,1),(487,1),(526,1)}
       308:{1,4,6}:{(255,1),(256,1),(259,1),(352,1),(357,1),(423,1)}
       309:{1,3,5,7}:{(256,1),(257,1),(260,1),(346,1),(353,1),(357,1),(424,1),(436,1),(493,1),(495,1)}
       310:{3,4,6}:{(258,1),(259,1),(347,1),(358,1),(550,1)}
       311:{2,4,7}:{(259,1),(260,1),(357,1),(358,1)}
       312:{2,3,6}:{(261,1),(263,1),(359,1),(376,1),(454,1)}
       313:{1,4,6}:{(261,1),(262,1),(264,1),(359,1),(360,1)}
       314:{2,5,6}:{(262,1),(265,1),(360,1),(361,1),(498,1)}
       315:{1,3,5,7}:{(263,1),(264,1),(267,1),(280,1),(359,1),(362,1),(363,1),(453,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(268,1),(281,1),(360,1),(362,1),(363,1),(364,1),(442,1),(444,1),(498,1)}
       317:{3,5,7}:{(265,1),(266,1),(361,1),(364,1)}
       318:{3,4,6,7}:{(266,1),(270,1),(282,1),(364,1),(365,1),(368,1),(383,1),(441,1),(446,1),(451,1),(460,1)}
       319:{2,4,7}:{(267,1),(271,1),(284,1),(362,1),(367,1)}
       320:{3,7}:{(268,1),(285,1)}
       321:{2,4,7}:{(269,1),(273,1),(286,1),(364,1),(368,1),(460,1)}
       322:{2,5,7}:{(270,1),(274,1),(287,1),(365,1),(370,1),(498,1)}
       323:{1,2,7}:{(271,1),(289,1),(371,1),(515,1)}
       324:{2,3,7}:{(271,1),(272,1),(290,1),(371,1),(372,1),(515,1)}
       325:{1,3,4,7}:{(272,1),(273,1),(275,1),(291,1),(368,1),(372,1),(373,1)}
       326:{1,4,5,7}:{(273,1),(274,1),(276,1),(292,1),(369,1),(373,1),(374,1),(453,1)}
       327:{1,5,6}:{(274,1),(277,1),(370,1),(374,1)}
       328:{3,5,7}:{(275,1),(276,1),(295,1),(376,1)}
       329:{2,4,6}:{(276,1),(277,1),(278,1),(374,1),(376,1),(454,1)}
       330:{2,5,6,7}:{(277,1),(279,1),(297,1),(375,1),(377,1),(548,1)}
       331:{4,6,7}:{(278,1),(279,1),(298,1),(552,1)}
       332:{2,5}:{(280,1),(284,1)}
       333:{3,5}:{(281,1),(285,1),(380,1)}
       334:{3,5}:{(282,1),(287,1),(381,1)}
       335:{3,6}:{(283,1),(288,1)}
       336:{1,2,4,6}:{(284,1),(289,1),(299,1),(366,1),(378,1),(384,1),(389,1),(439,1),(457,1),(461,1),(497,1)}
       337:{2,3,6}:{(284,1),(285,1),(300,1),(367,1),(379,1),(384,1)}
       338:{3,4,6}:{(285,1),(286,1),(301,1),(368,1),(380,1),(386,1),(397,1),(451,1)}
       339:{2,4,5}:{(286,1),(287,1),(292,1),(381,1),(386,1),(390,1),(442,1),(498,1)}
       340:{2,5,6}:{(287,1),(288,1),(293,1),(382,1),(388,1)}
       341:{2,4,6,7}:{(288,1),(294,1),(304,1),(383,1),(388,1),(398,1),(460,1)}
       342:{1,3,6}:{(289,1),(290,1),(305,1),(371,1),(389,1)}
       343:{2,4,6}:{(290,1),(291,1),(306,1),(372,1),(389,1),(390,1),(454,1)}
       344:{1,3,5}:{(291,1),(292,1),(295,1),(386,1),(390,1)}
       345:{1,4,5,6}:{(292,1),(293,1),(296,1),(308,1),(374,1),(387,1),(391,1),(392,1),(465,1),(511,1),(532,1)}
       346:{1,5,7}:{(293,1),(294,1),(297,1),(388,1)}
       347:{3,5,6}:{(295,1),(296,1),(310,1),(376,1),(393,1),(538,1)}
       348:{2,4,5,7}:{(296,1),(297,1),(298,1),(311,1),(377,1),(392,1),(393,1),(466,1),(539,1),(548,1),(552,1)}
       349:{1,3}:{(299,1),(300,1),(394,1)}
       350:{2,3,4}:{(300,1),(301,1),(306,1),(395,1),(396,1),(509,1)}
       351:{3,5}:{(301,1),(302,1),(397,1)}
       352:{2,4,6}:{(302,1),(303,1),(308,1),(397,1),(398,1)}
       353:{2,5,7}:{(303,1),(304,1),(309,1),(398,1),(515,1)}
       354:{1,4}:{(305,1),(306,1)}
       355:{2,4,5}:{(306,1),(307,1),(390,1),(396,1),(399,1),(400,1),(467,1)}
       356:{1,3,4,6}:{(307,1),(308,1),(310,1),(391,1),(397,1),(400,1),(401,1),(459,1),(468,1),(511,1),(538,1)}
       357:{1,4,7}:{(308,1),(309,1),(311,1),(398,1),(460,1)}
       358:{3,4,7}:{(310,1),(311,1),(393,1),(552,1)}
       359:{1,3,6}:{(312,1),(313,1),(315,1),(402,1),(403,1),(484,1)}
       360:{2,4,6}:{(313,1),(314,1),(316,1),(402,1),(403,1),(404,1)}
       361:{3,5,6}:{(314,1),(317,1),(403,1),(404,1),(473,1)}
       362:{2,5,7}:{(315,1),(319,1),(332,1),(402,1)}
       363:{3,5,7}:{(316,1),(320,1),(333,1),(403,1),(407,1),(473,1)}
       364:{4,7}:{(317,1),(404,1)}
       365:{3,5,7}:{(318,1),(322,1),(334,1),(408,1),(409,1),(473,1)}
       366:{1,2,4,7}:{(319,1),(323,1),(336,1),(405,1),(410,1),(415,1),(476,1),(480,1)}
       367:{2,3,7}:{(319,1),(320,1),(337,1),(410,1)}
       368:{3,4,7}:{(320,1),(321,1),(338,1),(412,1),(436,1)}
       369:{2,4,5,7}:{(321,1),(322,1),(326,1),(339,1),(408,1),(412,1),(413,1),(416,1)}
       370:{2,5,6}:{(322,1),(327,1),(409,1),(413,1)}
       371:{1,3,7}:{(323,1),(324,1),(342,1),(415,1)}
       372:{2,4,7}:{(324,1),(325,1),(343,1),(415,1),(416,1)}
       373:{1,3,5,7}:{(325,1),(326,1),(328,1),(344,1),(412,1),(416,1),(417,1)}
       374:{1,4,6}:{(326,1),(327,1),(329,1),(413,1),(417,1),(484,1)}
       375:{1,5,6,7}:{(327,1),(330,1),(346,1),(414,1),(418,1),(542,1)}
       376:{3,6}:{(328,1),(329,1)}
       377:{2,4,6,7}:{(329,1),(330,1),(331,1),(348,1),(418,1),(419,1),(485,1)}
       378:{1,2,5}:{(332,1),(336,1),(420,1),(430,1),(490,1),(517,1)}
       379:{2,3,5}:{(332,1),(333,1),(337,1),(420,1),(421,1)}
       380:{3,4}:{(333,1),(421,1)}
       381:{4,5}:{(334,1),(423,1)}
       382:{3,5,6}:{(334,1),(335,1),(340,1),(423,1),(424,1)}
       383:{3,6,7}:{(335,1),(341,1),(424,1),(436,1)}
       384:{1,3,6}:{(336,1),(337,1),(349,1),(410,1),(420,1),(425,1)}
       385:{2,3,4,6}:{(337,1),(338,1),(343,1),(350,1),(411,1),(421,1),(426,1),(427,1),(435,1),(472,1),(482,1),(488,1)}
       386:{3,5}:{(338,1),(339,1)}
       387:{2,4,5,6}:{(339,1),(340,1),(345,1),(352,1),(413,1),(423,1),(428,1),(429,1),(431,1),(474,1),(488,1),(518,1)}
       388:{2,5,7}:{(340,1),(341,1),(346,1),(424,1)}
       389:{1,4,6}:{(342,1),(343,1),(354,1),(415,1),(430,1),(484,1)}
       390:{2,5}:{(343,1),(344,1),(430,1)}
       391:{1,3,5,6}:{(344,1),(345,1),(347,1),(356,1),(417,1),(428,1),(431,1),(432,1)}
       392:{1,4,5,7}:{(345,1),(346,1),(348,1),(357,1),(418,1),(429,1),(432,1),(493,1),(528,1),(542,1)}
       393:{3,5,7}:{(347,1),(348,1),(358,1),(419,1),(545,1)}
       394:{2,3}:{(349,1),(433,1)}
       395:{1,3,4}:{(349,1),(350,1),(354,1),(433,1),(434,1)}
       396:{2,3,5}:{(350,1),(351,1),(355,1),(434,1),(435,1),(526,1)}
       397:{3,6}:{(351,1),(352,1),(436,1)}
       398:{2,4,7}:{(352,1),(353,1),(357,1),(436,1)}
       399:{1,4,5}:{(354,1),(355,1),(430,1),(434,1),(437,1)}
       400:{2,4,6}:{(355,1),(356,1),(431,1),(435,1),(437,1),(438,1),(494,1)}
       401:{1,3,4,7}:{(356,1),(357,1),(358,1),(432,1),(436,1),(438,1),(489,1),(495,1),(528,1),(545,1)}
       402:{2,6}:{(359,1),(362,1)}
       403:{3,6}:{(360,1),(363,1)}
       404:{4,6}:{(361,1),(364,1),(442,1)}
       405:{1,2,5,7}:{(362,1),(366,1),(378,1),(439,1),(443,1),(453,1),(505,1)}
       406:{2,3,5,7}:{(362,1),(363,1),(367,1),(379,1),(440,1),(443,1),(444,1),(498,1)}
       407:{3,4,7}:{(363,1),(364,1),(380,1),(441,1),(444,1)}
       408:{4,5,7}:{(364,1),(365,1),(381,1),(442,1),(446,1),(460,1)}
       409:{3,5,6}:{(365,1),(370,1),(446,1),(451,1)}
       410:{1,3,7}:{(366,1),(367,1),(384,1),(448,1)}
       411:{2,3,4,7}:{(367,1),(368,1),(372,1),(385,1),(444,1),(449,1),(450,1),(469,1),(512,1)}
       412:{3,5,7}:{(368,1),(369,1),(386,1),(451,1)}
       413:{2,4,6}:{(369,1),(370,1),(374,1),(446,1),(451,1),(454,1)}
       414:{2,5,6,7}:{(370,1),(375,1),(388,1),(447,1),(452,1),(533,1)}
       415:{1,4,7}:{(371,1),(372,1),(389,1),(453,1)}
       416:{2,5,7}:{(372,1),(373,1),(390,1),(453,1),(454,1)}
       417:{1,3,6}:{(373,1),(374,1),(376,1),(451,1),(454,1)}
       418:{1,4,6,7}:{(374,1),(375,1),(377,1),(392,1),(452,1),(455,1),(508,1)}
       419:{3,6,7}:{(376,1),(377,1),(393,1)}
       420:{1,3,5}:{(378,1),(379,1),(384,1),(456,1),(457,1)}
       421:{2,4}:{(379,1),(380,1),(457,1)}
       422:{3,4,5}:{(380,1),(381,1),(386,1),(458,1),(459,1)}
       423:{4,6}:{(381,1),(382,1),(460,1)}
       424:{3,5,7}:{(382,1),(383,1),(388,1),(460,1)}
       425:{2,3,6}:{(384,1),(394,1),(448,1),(456,1),(461,1),(538,1)}
       426:{1,3,4,6}:{(384,1),(385,1),(389,1),(395,1),(449,1),(457,1),(461,1),(462,1),(468,1),(497,1),(506,1),(509,1),(511,1),(530,1),(538,1)}
       427:{2,3,5}:{(385,1),(386,1),(390,1),(458,1),(462,1),(498,1)}
       428:{3,5,6}:{(386,1),(387,1),(397,1),(451,1),(459,1),(464,1)}
       429:{2,4,5,7}:{(387,1),(388,1),(392,1),(398,1),(452,1),(460,1),(464,1),(466,1),(500,1),(512,1),(533,1)}
       430:{1,5}:{(389,1),(390,1)}
       431:{2,5,6}:{(390,1),(391,1),(400,1),(454,1),(465,1),(466,1)}
       432:{1,3,5,7}:{(391,1),(392,1),(393,1),(401,1),(455,1),(464,1),(466,1)}
       433:{2,4}:{(394,1),(395,1),(467,1)}
       434:{1,3,5}:{(395,1),(396,1),(399,1),(467,1),(468,1)}
       435:{2,3,6}:{(396,1),(397,1),(400,1),(468,1),(469,1),(538,1)}
       436:{3,7}:{(397,1),(398,1)}
       437:{1,4,6}:{(399,1),(400,1),(465,1),(468,1),(470,1)}
       438:{2,4,7}:{(400,1),(401,1),(466,1),(469,1),(470,1),(515,1)}
       439:{1,2,6}:{(402,1),(405,1),(471,1),(484,1),(524,1)}
       440:{2,3,6}:{(402,1),(403,1),(406,1),(471,1),(472,1)}
       441:{3,4,6}:{(403,1),(404,1),(407,1),(472,1),(473,1)}
       442:{4,5}:{(404,1),(473,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(410,1),(420,1),(471,1),(475,1),(476,1),(517,1)}
       444:{2,4,7}:{(406,1),(407,1),(421,1),(472,1),(476,1)}
       445:{3,4,5,7}:{(407,1),(408,1),(412,1),(422,1),(473,1),(477,1),(478,1),(489,1),(519,1)}
       446:{4,6}:{(408,1),(409,1)}
       447:{3,5,6,7}:{(409,1),(414,1),(424,1),(479,1),(483,1),(519,1)}
       448:{2,3,7}:{(410,1),(425,1),(480,1),(545,1)}
       449:{1,3,4,7}:{(410,1),(411,1),(415,1),(426,1),(476,1),(480,1),(481,1),(495,1),(520,1),(528,1),(545,1)}
       450:{2,3,5,7}:{(411,1),(412,1),(416,1),(427,1),(477,1),(481,1),(482,1)}
       451:{3,6}:{(412,1),(413,1)}
       452:{2,4,6,7}:{(413,1),(414,1),(418,1),(429,1),(479,1),(483,1),(485,1)}
       453:{1,5,7}:{(415,1),(416,1),(430,1),(484,1)}
       454:{2,6}:{(416,1),(417,1),(484,1)}
       455:{1,3,6,7}:{(417,1),(418,1),(419,1),(432,1),(483,1),(485,1)}
       456:{2,3,5}:{(420,1),(425,1),(486,1),(490,1),(526,1)}
       457:{1,4}:{(420,1),(421,1),(486,1)}
       458:{2,4,5}:{(421,1),(422,1),(427,1),(487,1),(488,1)}
       459:{3,4,6}:{(422,1),(423,1),(428,1),(488,1),(489,1)}
       460:{4,7}:{(423,1),(424,1)}
       461:{2,4,6}:{(425,1),(426,1),(433,1),(480,1),(486,1),(490,1),(494,1),(524,1)}
       462:{1,3,5}:{(426,1),(427,1),(430,1),(487,1),(490,1),(517,1),(526,1),(540,1)}
       463:{2,3,5,6}:{(427,1),(428,1),(431,1),(435,1),(482,1),(488,1),(491,1),(492,1),(518,1)}
       464:{3,5,7}:{(428,1),(429,1),(436,1),(483,1),(489,1)}
       465:{1,5,6}:{(430,1),(431,1),(437,1),(484,1),(493,1)}
       466:{2,5,7}:{(431,1),(432,1),(438,1),(485,1),(493,1)}
       467:{2,5}:{(433,1),(434,1),(494,1)}
       468:{1,3,6}:{(434,1),(435,1),(437,1),(494,1),(495,1)}
       469:{2,3,7}:{(435,1),(436,1),(438,1),(495,1),(545,1)}
       470:{1,4,7}:{(437,1),(438,1),(493,1),(495,1)}
       471:{1,3,6}:{(439,1),(440,1),(443,1),(496,1),(497,1)}
       472:{2,4,6}:{(440,1),(441,1),(444,1),(497,1),(498,1)}
       473:{3,5}:{(441,1),(442,1),(498,1)}
       474:{4,5,6}:{(442,1),(446,1),(499,1),(500,1)}
       475:{2,3,5,7}:{(443,1),(448,1),(456,1),(496,1),(501,1),(505,1),(531,1),(534,1)}
       476:{1,4,7}:{(443,1),(444,1),(457,1),(497,1),(501,1)}
       477:{2,4,5,7}:{(444,1),(445,1),(450,1),(458,1),(498,1),(502,1),(503,1),(512,1),(533,1)}
       478:{3,4,6}:{(445,1),(446,1),(451,1),(499,1),(503,1)}
       479:{4,6,7}:{(446,1),(447,1),(460,1),(500,1)}
       480:{2,4,7}:{(448,1),(449,1),(461,1),(505,1),(515,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(462,1),(502,1),(505,1),(506,1),(534,1)}
       482:{2,3,6}:{(450,1),(451,1),(454,1),(503,1),(506,1)}
       483:{3,6,7}:{(451,1),(452,1),(464,1)}
       484:{1,6}:{(453,1),(454,1)}
       485:{2,6,7}:{(454,1),(455,1),(466,1),(508,1)}
       486:{2,4}:{(456,1),(457,1),(509,1)}
       487:{1,4,5}:{(457,1),(458,1),(462,1),(510,1),(511,1),(546,1)}
       488:{2,4,6}:{(458,1),(459,1),(463,1),(511,1),(512,1)}
       489:{3,4,7}:{(459,1),(460,1),(464,1),(512,1)}
       490:{2,5}:{(461,1),(462,1)}
       491:{1,3,5,6}:{(462,1),(463,1),(465,1),(468,1),(506,1),(511,1),(513,1),(514,1),(532,1),(538,1),(547,1)}
       492:{2,3,5,7}:{(463,1),(464,1),(466,1),(469,1),(507,1),(512,1),(514,1),(533,1)}
       493:{1,5,7}:{(465,1),(466,1),(470,1),(508,1)}
       494:{2,6}:{(467,1),(468,1),(515,1)}
       495:{1,3,7}:{(468,1),(469,1),(470,1),(515,1)}
       496:{2,3,6}:{(471,1),(475,1),(516,1),(524,1),(543,1)}
       497:{1,4,6}:{(471,1),(472,1),(476,1),(516,1),(517,1)}
       498:{2,5}:{(472,1),(473,1),(517,1)}
       499:{3,5,6}:{(473,1),(474,1),(478,1),(518,1),(519,1)}
       500:{4,5,7}:{(474,1),(479,1),(519,1)}
       501:{2,4,7}:{(475,1),(476,1),(486,1),(516,1),(520,1)}
       502:{1,4,5,7}:{(476,1),(477,1),(481,1),(487,1),(517,1),(521,1),(522,1),(528,1),(542,1)}
       503:{2,4,6}:{(477,1),(478,1),(482,1),(518,1),(522,1)}
       504:{3,4,6,7}:{(478,1),(479,1),(483,1),(489,1),(519,1),(523,1)}
       505:{2,5,7}:{(480,1),(481,1),(490,1),(524,1)}
       506:{1,3,6}:{(481,1),(482,1),(484,1),(522,1),(524,1),(543,1)}
       507:{2,3,6,7}:{(482,1),(483,1),(485,1),(492,1),(523,1),(525,1)}
       508:{1,6,7}:{(484,1),(485,1),(493,1)}
       509:{3,4}:{(486,1),(526,1)}
       510:{2,4,5}:{(486,1),(487,1),(490,1),(526,1),(527,1)}
       511:{1,4,6}:{(487,1),(488,1),(491,1),(527,1),(528,1),(550,1)}
       512:{2,4,7}:{(488,1),(489,1),(492,1),(528,1)}
       513:{2,5,6}:{(490,1),(491,1),(494,1),(524,1),(527,1),(529,1)}
       514:{1,3,5,7}:{(491,1),(492,1),(493,1),(495,1),(525,1),(528,1),(529,1),(542,1),(545,1),(551,1)}
       515:{2,7}:{(494,1),(495,1)}
       516:{2,4,6}:{(496,1),(497,1),(501,1),(530,1),(531,1)}
       517:{1,5}:{(497,1),(498,1),(531,1)}
       518:{2,5,6}:{(498,1),(499,1),(503,1),(532,1),(533,1)}
       519:{3,5,7}:{(499,1),(500,1),(504,1),(533,1)}
       520:{3,4,7}:{(501,1),(509,1),(530,1),(534,1),(552,1)}
       521:{2,4,5,7}:{(501,1),(502,1),(505,1),(510,1),(531,1),(534,1),(535,1),(539,1),(546,1),(548,1),(552,1)}
       522:{1,4,6}:{(502,1),(503,1),(506,1),(532,1),(535,1)}
       523:{2,4,6,7}:{(503,1),(504,1),(507,1),(512,1),(533,1),(536,1)}
       524:{2,6}:{(505,1),(506,1)}
       525:{1,3,6,7}:{(506,1),(507,1),(508,1),(514,1),(536,1),(537,1),(549,1)}
       526:{3,5}:{(509,1),(510,1),(538,1)}
       527:{2,4,6}:{(510,1),(511,1),(513,1),(538,1),(539,1)}
       528:{1,4,7}:{(511,1),(512,1),(514,1),(539,1),(552,1)}
       529:{2,5,7}:{(513,1),(514,1),(515,1),(537,1),(539,1)}
       530:{3,4,6}:{(516,1),(520,1),(540,1),(543,1),(550,1)}
       531:{2,5}:{(516,1),(517,1),(540,1)}
       532:{1,5,6}:{(517,1),(518,1),(522,1),(541,1),(542,1)}
       533:{2,5,7}:{(518,1),(519,1),(523,1),(542,1)}
       534:{3,5,7}:{(520,1),(521,1),(526,1),(540,1),(543,1),(545,1)}
       535:{2,4,6}:{(521,1),(522,1),(524,1),(541,1),(543,1),(550,1)}
       536:{1,4,6,7}:{(522,1),(523,1),(525,1),(528,1),(542,1),(544,1)}
       537:{2,6,7}:{(524,1),(525,1),(529,1)}
       538:{3,6}:{(526,1),(527,1),(545,1)}
       539:{2,4,7}:{(527,1),(528,1),(529,1),(545,1)}
       540:{3,5}:{(530,1),(531,1),(546,1)}
       541:{2,5,6}:{(531,1),(532,1),(535,1),(547,1),(548,1)}
       542:{1,5,7}:{(532,1),(533,1),(536,1),(548,1)}
       543:{3,6}:{(534,1),(535,1)}
       544:{2,4,6,7}:{(535,1),(536,1),(537,1),(539,1),(548,1),(549,1),(552,1)}
       545:{3,7}:{(538,1),(539,1)}
       546:{4,5}:{(540,1),(550,1)}
       547:{3,5,6}:{(540,1),(541,1),(543,1),(550,1),(551,1)}
       548:{2,5,7}:{(541,1),(542,1),(544,1),(551,1)}
       549:{3,6,7}:{(543,1),(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5,7}:{(547,1),(548,1),(549,1),(552,1)}
       552:{4,7}:{(550,1),(551,1)}

1445 :   0:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(19,1),(48,1),(53,1)}
         1:{2,3,5,7}:{(4,1),(5,1),(6,1),(18,1),(25,1),(26,1),(51,1),(53,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(9,1),(11,1),(34,1),(67,1)}
         3:{1,2,6}:{(0,1),(10,1),(73,1)}
         4:{1,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(32,1),(35,1),(38,1),(68,1),(70,1)}
         5:{2,3,6}:{(1,1),(10,1),(13,1),(41,1),(73,1)}
         6:{2,4,7}:{(1,1),(11,1),(12,1),(13,1),(71,1)}
         7:{2,3,5,7}:{(4,1),(15,1),(16,1),(18,1),(45,1),(46,1),(51,1),(53,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(22,1),(52,1),(54,1)}
         9:{1,3,7}:{(2,1),(18,1),(20,1),(84,1),(125,1)}
        10:{1,3,6}:{(3,1),(4,1),(5,1),(15,1),(22,1),(87,1)}
        11:{1,4,7}:{(4,1),(6,1),(16,1),(22,1),(54,1),(85,1)}
        12:{3,4,7}:{(6,1),(24,1),(25,1),(88,1),(94,1)}
        13:{2,4,6}:{(5,1),(6,1),(22,1),(24,1),(26,1)}
        14:{2,4,5,7}:{(6,1),(23,1),(25,1),(26,1),(27,1),(53,1),(59,1),(62,1),(89,1),(94,1),(114,1)}
        15:{2,3,6}:{(7,1),(10,1),(29,1),(64,1),(73,1)}
        16:{2,4,7}:{(7,1),(11,1),(28,1),(29,1),(71,1)}
        17:{1,2,7}:{(31,1),(32,1),(97,1),(124,1)}
        18:{2,3,7}:{(9,1),(32,1),(33,1),(34,1),(98,1),(119,1),(124,1)}
        19:{1,2,5}:{(8,1),(35,1),(38,1),(72,1),(97,1)}
        20:{1,3,6}:{(8,1),(9,1),(33,1),(35,1),(123,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(12,1),(28,1),(34,1),(36,1),(37,1),(99,1),(106,1),(119,1)}
        22:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(38,1)}
        23:{1,4,5,7}:{(11,1),(14,1),(30,1),(37,1),(38,1),(39,1),(70,1),(74,1),(77,1),(100,1),(106,1),(118,1)}
        24:{3,4,6}:{(12,1),(13,1),(40,1),(41,1),(78,1)}
        25:{3,5,7}:{(12,1),(14,1),(40,1),(41,1),(103,1),(119,1)}
        26:{2,5}:{(13,1),(38,1),(40,1)}
        27:{2,4,6}:{(14,1),(39,1),(41,1),(42,1),(73,1),(78,1)}
        28:{3,4,7}:{(16,1),(44,1),(45,1),(88,1),(107,1)}
        29:{2,4,6}:{(15,1),(16,1),(22,1),(44,1),(46,1)}
        30:{2,4,5,7}:{(16,1),(23,1),(45,1),(46,1),(47,1),(53,1),(80,1),(83,1),(89,1),(107,1),(114,1)}
        31:{1,2,6}:{(17,1),(48,1),(49,1),(121,1)}
        32:{1,3,7}:{(17,1),(18,1),(49,1),(50,1),(108,1)}
        33:{2,3,6}:{(18,1),(20,1),(49,1),(51,1),(52,1),(113,1),(121,1)}
        34:{2,4,7}:{(18,1),(21,1),(50,1),(52,1),(53,1),(109,1)}
        35:{1,3,5}:{(19,1),(20,1),(51,1),(54,1),(108,1),(120,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(22,1),(24,1),(44,1),(52,1),(54,1),(55,1),(56,1),(88,1),(92,1),(113,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(45,1),(53,1),(55,1),(56,1),(110,1),(122,1)}
        38:{1,5}:{(22,1),(26,1),(46,1)}
        39:{1,4,6}:{(23,1),(27,1),(47,1),(56,1),(57,1),(87,1)}
        40:{3,5}:{(24,1),(26,1),(59,1)}
        41:{3,6}:{(25,1),(27,1)}
        42:{2,5,6}:{(26,1),(27,1),(57,1),(60,1),(62,1)}
        43:{2,4,6,7}:{(27,1),(58,1),(61,1),(62,1),(91,1),(94,1),(114,1)}
        44:{3,4,6}:{(28,1),(29,1),(63,1),(64,1),(95,1)}
        45:{3,5,7}:{(28,1),(30,1),(63,1),(64,1),(103,1),(119,1)}
        46:{2,5}:{(29,1),(38,1),(63,1)}
        47:{2,4,6}:{(30,1),(39,1),(64,1),(65,1),(73,1),(95,1)}
        48:{1,2,5}:{(31,1),(67,1),(68,1),(116,1)}
        49:{1,3,6}:{(31,1),(32,1),(33,1),(68,1),(69,1)}
        50:{1,4,7}:{(32,1),(34,1),(69,1),(70,1),(115,1)}
        51:{2,3,5}:{(33,1),(35,1),(68,1),(71,1),(72,1),(98,1),(103,1),(116,1)}
        52:{2,4,6}:{(33,1),(34,1),(36,1),(69,1),(71,1),(72,1),(73,1)}
        53:{2,5,7}:{(34,1),(37,1),(70,1),(72,1),(73,1),(116,1),(124,1)}
        54:{1,4}:{(35,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(40,1),(63,1),(72,1),(74,1),(103,1)}
        56:{1,3,6}:{(37,1),(39,1),(41,1),(64,1),(73,1)}
        57:{1,5,6}:{(38,1),(39,1),(42,1),(65,1),(77,1)}
        58:{1,4,6,7}:{(39,1),(43,1),(66,1),(76,1),(77,1),(102,1),(106,1),(118,1)}
        59:{4,5}:{(40,1),(78,1)}
        60:{3,5,6}:{(40,1),(41,1),(42,1),(78,1),(79,1)}
        61:{3,6,7}:{(41,1),(43,1),(79,1),(119,1)}
        62:{2,5,7}:{(42,1),(43,1),(77,1),(79,1)}
        63:{3,5}:{(44,1),(46,1),(80,1)}
        64:{3,6}:{(45,1),(47,1)}
        65:{2,5,6}:{(46,1),(47,1),(57,1),(81,1),(83,1)}
        66:{2,4,6,7}:{(47,1),(58,1),(82,1),(83,1),(91,1),(107,1),(114,1)}
        67:{1,2,4}:{(48,1),(84,1),(85,1),(109,1)}
        68:{1,3,5}:{(48,1),(49,1),(51,1),(84,1),(85,1),(86,1)}
        69:{1,4,6}:{(49,1),(50,1),(52,1),(85,1),(86,1),(87,1)}
        70:{1,5,7}:{(50,1),(53,1),(86,1),(87,1),(120,1),(125,1)}
        71:{2,4}:{(51,1),(54,1),(85,1),(88,1)}
        72:{2,5}:{(52,1),(55,1),(86,1)}
        73:{2,6}:{(53,1),(56,1),(87,1)}
        74:{1,4,5}:{(54,1),(55,1),(59,1),(80,1),(89,1),(92,1),(120,1)}
        75:{1,3,5,6}:{(55,1),(56,1),(57,1),(60,1),(81,1),(90,1),(92,1),(93,1),(113,1)}
        76:{1,3,6,7}:{(56,1),(58,1),(61,1),(82,1),(91,1),(93,1),(122,1)}
        77:{1,5,7}:{(57,1),(58,1),(62,1),(83,1)}
        78:{4,6}:{(59,1),(60,1),(94,1)}
        79:{3,5,7}:{(60,1),(61,1),(62,1),(94,1)}
        80:{4,5}:{(63,1),(95,1)}
        81:{3,5,6}:{(63,1),(64,1),(65,1),(95,1),(96,1)}
        82:{3,6,7}:{(64,1),(66,1),(96,1),(119,1)}
        83:{2,5,7}:{(65,1),(66,1),(77,1),(96,1)}
        84:{1,3}:{(67,1),(98,1)}
        85:{1,4}:{(68,1),(71,1)}
        86:{1,5}:{(69,1),(72,1)}
        87:{1,6}:{(70,1),(73,1)}
        88:{3,4}:{(71,1),(103,1)}
        89:{2,4,5}:{(71,1),(72,1),(74,1),(100,1),(103,1),(104,1),(116,1)}
        90:{2,5,6}:{(72,1),(73,1),(75,1),(101,1),(104,1),(105,1)}
        91:{2,6,7}:{(73,1),(76,1),(102,1),(105,1),(124,1)}
        92:{1,4,6}:{(74,1),(75,1),(78,1),(95,1),(104,1),(106,1),(123,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(77,1),(79,1),(96,1),(105,1),(106,1),(119,1)}
        94:{4,7}:{(78,1),(79,1)}
        95:{4,6}:{(80,1),(81,1),(107,1)}
        96:{3,5,7}:{(81,1),(82,1),(83,1),(107,1)}
        97:{1,2}:{(108,1)}
        98:{2,3}:{(84,1),(108,1),(109,1)}
        99:{1,3,4}:{(84,1),(85,1),(88,1),(109,1),(110,1)}
       100:{1,4,5}:{(85,1),(86,1),(89,1),(110,1),(111,1)}
       101:{1,5,6}:{(86,1),(87,1),(90,1),(111,1),(112,1)}
       102:{1,6,7}:{(87,1),(91,1),(112,1),(125,1)}
       103:{3,5}:{(88,1),(89,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(92,1),(111,1),(113,1),(114,1),(121,1)}
       105:{2,5,7}:{(90,1),(91,1),(93,1),(112,1),(114,1)}
       106:{1,4,7}:{(92,1),(93,1),(94,1),(107,1),(114,1),(125,1)}
       107:{4,7}:{(95,1),(96,1)}
       108:{1,3}:{(97,1),(98,1),(115,1)}
       109:{2,4}:{(98,1),(99,1),(115,1),(116,1)}
       110:{1,3,5}:{(99,1),(100,1),(103,1),(116,1),(117,1)}
       111:{1,4,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       112:{1,5,7}:{(101,1),(102,1),(105,1),(118,1)}
       113:{3,6}:{(103,1),(104,1),(119,1)}
       114:{2,4,7}:{(104,1),(105,1),(106,1),(118,1),(119,1),(124,1)}
       115:{1,4}:{(108,1),(109,1),(120,1)}
       116:{2,5}:{(109,1),(110,1),(120,1),(121,1)}
       117:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       118:{1,4,7}:{(111,1),(112,1),(114,1),(122,1)}
       119:{3,7}:{(113,1),(114,1)}
       120:{1,5}:{(115,1),(116,1),(123,1)}
       121:{2,6}:{(116,1),(117,1),(123,1),(124,1)}
       122:{1,3,7}:{(117,1),(118,1),(119,1),(124,1)}
       123:{1,6}:{(120,1),(121,1),(125,1)}
       124:{2,7}:{(121,1),(122,1),(125,1)}
       125:{1,7}:{(123,1),(124,1)}

1446 :   0:{3,4,5,7}:{(2,1),(3,1),(19,1),(67,1),(142,1),(215,1),(318,1),(406,1),(414,1)}
         1:{2,3,4,7}:{(4,1),(5,1),(6,1),(87,1),(97,1),(172,1),(293,1),(371,1),(381,1)}
         2:{2,4,5,7}:{(0,1),(4,1),(8,1),(9,1),(38,1),(40,1),(97,1),(172,1),(275,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(443,1),(450,1)}
         4:{2,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(17,1),(414,1),(422,1)}
         5:{1,3,4,7}:{(1,1),(13,1),(15,1),(16,1),(56,1),(71,1),(134,1),(141,1),(241,1),(344,1),(423,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(16,1),(17,1),(63,1),(129,1),(224,1),(228,1),(245,1),(247,1),(327,1),(337,1)}
         7:{3,4,6,7}:{(3,1),(18,1),(19,1),(25,1),(78,1),(142,1)}
         8:{1,4,5,7}:{(2,1),(13,1),(20,1),(21,1),(66,1),(69,1),(134,1),(141,1),(234,1)}
         9:{2,4,6}:{(2,1),(3,1),(14,1),(21,1),(22,1)}
        10:{3,5,6}:{(3,1),(19,1),(22,1),(23,1),(318,1)}
        11:{3,5,6,7}:{(19,1),(24,1),(25,1),(78,1),(405,1),(438,1)}
        12:{2,3,4,7}:{(27,1),(28,1),(29,1),(35,1),(98,1),(171,1),(292,1),(372,1),(381,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(8,1),(32,1),(33,1),(37,1),(42,1),(458,1)}
        14:{2,3,6}:{(4,1),(9,1),(33,1),(450,1),(457,1)}
        15:{2,4,7}:{(5,1),(32,1),(35,1),(36,1),(390,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(36,1),(37,1),(93,1),(101,1),(110,1),(182,1),(185,1),(193,1),(195,1),(297,1),(298,1),(384,1)}
        17:{2,3,5}:{(6,1),(37,1),(38,1),(275,1),(374,1),(383,1)}
        18:{2,4,6,7}:{(7,1),(9,1),(31,1),(39,1),(40,1),(97,1)}
        19:{3,5,7}:{(7,1),(10,1),(40,1),(41,1)}
        20:{2,4,5,7}:{(8,1),(32,1),(42,1),(43,1),(98,1),(104,1),(107,1),(189,1),(191,1),(199,1),(202,1)}
        21:{1,4,6}:{(8,1),(9,1),(33,1),(43,1),(44,1)}
        22:{2,5,6}:{(9,1),(10,1),(40,1),(44,1),(275,1)}
        23:{4,5,6}:{(10,1),(41,1),(365,1),(443,1)}
        24:{2,5,6,7}:{(11,1),(40,1),(46,1),(47,1),(369,1),(400,1)}
        25:{4,6,7}:{(11,1),(41,1),(443,1),(470,1)}
        26:{3,4,5,7}:{(48,1),(49,1),(71,1),(118,1),(132,1),(154,1),(223,1),(250,1),(342,1)}
        27:{2,3,5,7}:{(12,1),(48,1),(50,1),(51,1),(54,1),(342,1),(422,1)}
        28:{1,3,4,7}:{(12,1),(50,1),(52,1),(53,1),(56,1),(134,1),(215,1),(222,1),(324,1),(416,1),(423,1)}
        29:{2,3,4,6}:{(12,1),(51,1),(53,1),(54,1),(64,1),(128,1),(143,1),(147,1),(244,1),(328,1),(330,1),(337,1)}
        30:{1,2,4,7}:{(15,1),(52,1),(55,1),(56,1),(57,1),(134,1),(423,1),(424,1)}
        31:{2,3,6,7}:{(14,1),(18,1),(58,1),(59,1),(78,1),(160,1)}
        32:{2,5,7}:{(13,1),(15,1),(61,1),(65,1)}
        33:{1,3,6}:{(13,1),(14,1),(21,1),(61,1),(72,1),(486,1)}
        34:{2,3,5,6}:{(14,1),(17,1),(22,1),(59,1),(62,1),(63,1),(75,1),(157,1),(245,1)}
        35:{2,3,7}:{(15,1),(56,1),(64,1),(241,1)}
        36:{2,4,6}:{(15,1),(16,1),(61,1),(64,1),(65,1),(147,1),(347,1),(348,1)}
        37:{1,3,5}:{(16,1),(17,1),(65,1),(66,1),(148,1),(154,1),(234,1),(425,1)}
        38:{2,4,5}:{(17,1),(63,1),(66,1),(67,1),(228,1)}
        39:{1,4,6,7}:{(18,1),(21,1),(58,1),(68,1),(69,1),(141,1)}
        40:{2,5,7}:{(18,1),(19,1),(22,1),(69,1)}
        41:{4,5,7}:{(19,1),(23,1),(25,1)}
        42:{3,5,7}:{(20,1),(71,1),(72,1),(148,1),(154,1),(241,1)}
        43:{2,4,6}:{(20,1),(21,1),(61,1),(72,1),(73,1),(155,1)}
        44:{1,5,6}:{(21,1),(22,1),(69,1),(73,1),(234,1)}
        45:{2,4,5,6}:{(22,1),(23,1),(63,1),(70,1),(74,1),(75,1),(157,1),(326,1),(354,1),(413,1),(437,1),(495,1)}
        46:{1,5,6,7}:{(24,1),(69,1),(76,1),(77,1),(332,1),(356,1)}
        47:{2,4,6,7}:{(24,1),(25,1),(70,1),(77,1),(78,1),(160,1),(413,1)}
        48:{2,4,5,7}:{(26,1),(27,1),(80,1),(81,1),(90,1),(98,1),(163,1),(171,1),(191,1)}
        49:{3,4,6}:{(26,1),(81,1),(82,1),(300,1),(387,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(80,1),(84,1),(85,1),(89,1),(165,1),(458,1)}
        51:{2,3,6}:{(27,1),(81,1),(85,1),(387,1),(457,1)}
        52:{2,4,7}:{(28,1),(84,1),(87,1),(88,1),(453,1)}
        53:{1,3,4,6}:{(28,1),(29,1),(85,1),(88,1),(89,1),(93,1),(175,1),(182,1),(185,1),(267,1),(277,1),(279,1),(376,1),(377,1),(384,1)}
        54:{2,3,5}:{(29,1),(89,1),(90,1),(191,1),(295,1),(383,1)}
        55:{1,2,5,7}:{(30,1),(32,1),(84,1),(91,1),(92,1),(94,1),(458,1)}
        56:{1,3,7}:{(30,1),(35,1),(87,1),(93,1)}
        57:{1,2,4,6}:{(30,1),(36,1),(88,1),(92,1),(93,1),(94,1),(182,1),(185,1),(384,1),(385,1),(386,1)}
        58:{1,3,6,7}:{(31,1),(33,1),(39,1),(95,1),(96,1),(106,1),(209,1)}
        59:{2,3,5,7}:{(31,1),(34,1),(40,1),(96,1),(97,1),(109,1),(201,1),(293,1)}
        60:{2,3,5,7}:{(32,1),(35,1),(42,1),(91,1),(98,1),(99,1),(103,1),(191,1)}
        61:{2,6}:{(32,1),(33,1)}
        62:{1,3,5,6}:{(33,1),(34,1),(37,1),(44,1),(96,1),(100,1),(101,1),(111,1),(193,1),(205,1),(297,1)}
        63:{2,4,6}:{(34,1),(38,1),(97,1),(101,1),(102,1)}
        64:{2,3,6}:{(35,1),(36,1),(93,1),(103,1),(193,1),(393,1)}
        65:{2,5}:{(36,1),(37,1)}
        66:{1,4,5}:{(37,1),(38,1),(101,1),(104,1),(185,1),(202,1)}
        67:{3,4,5}:{(38,1),(102,1),(279,1),(374,1),(515,1)}
        68:{2,4,6,7}:{(39,1),(43,1),(95,1),(106,1),(107,1),(189,1),(199,1)}
        69:{1,5,7}:{(39,1),(40,1),(44,1),(107,1)}
        70:{2,4,5,7}:{(40,1),(41,1),(45,1),(47,1),(97,1),(108,1),(109,1),(201,1),(396,1),(400,1),(470,1)}
        71:{3,4,7}:{(42,1),(98,1),(110,1),(195,1),(199,1)}
        72:{3,6}:{(42,1),(43,1)}
        73:{2,5,6}:{(43,1),(44,1),(107,1),(111,1),(191,1)}
        74:{1,4,5,6}:{(44,1),(45,1),(101,1),(108,1),(112,1),(113,1),(205,1),(285,1),(305,1),(379,1),(399,1)}
        75:{3,5,6}:{(45,1),(102,1),(109,1),(374,1),(398,1),(450,1)}
        76:{2,5,6,7}:{(46,1),(107,1),(114,1),(115,1),(290,1),(308,1)}
        77:{1,4,6,7}:{(46,1),(47,1),(108,1),(115,1),(116,1),(209,1),(379,1)}
        78:{3,6,7}:{(47,1),(109,1),(450,1)}
        79:{3,4,6,7}:{(49,1),(117,1),(118,1),(211,1),(223,1),(313,1)}
        80:{1,4,5,7}:{(48,1),(50,1),(119,1),(120,1),(131,1),(134,1),(213,1),(222,1),(234,1)}
        81:{2,4,6}:{(48,1),(49,1),(51,1),(120,1),(121,1)}
        82:{3,5,6}:{(49,1),(118,1),(121,1),(122,1),(154,1)}
        83:{2,3,6,7}:{(51,1),(117,1),(123,1),(124,1),(313,1),(404,1)}
        84:{2,5,7}:{(50,1),(52,1),(126,1),(130,1)}
        85:{1,3,6}:{(50,1),(51,1),(120,1),(126,1),(216,1),(486,1)}
        86:{2,3,5,6}:{(51,1),(54,1),(121,1),(124,1),(127,1),(128,1),(219,1),(321,1),(328,1)}
        87:{2,3,7}:{(52,1),(56,1),(129,1),(324,1)}
        88:{2,4,6}:{(52,1),(53,1),(126,1),(129,1),(130,1),(228,1),(419,1),(420,1)}
        89:{1,3,5}:{(53,1),(54,1),(130,1),(131,1),(229,1),(234,1),(318,1),(425,1)}
        90:{2,4,5}:{(54,1),(128,1),(131,1),(132,1),(147,1)}
        91:{1,3,5,7}:{(55,1),(56,1),(60,1),(125,1),(134,1),(135,1),(137,1),(234,1)}
        92:{1,2,6}:{(55,1),(61,1),(126,1),(135,1),(486,1)}
        93:{1,3,6}:{(56,1),(57,1),(64,1),(129,1),(137,1),(427,1)}
        94:{1,2,5}:{(57,1),(65,1),(130,1),(137,1),(234,1),(425,1)}
        95:{2,6,7}:{(58,1),(61,1),(140,1)}
        96:{1,3,5,7}:{(58,1),(59,1),(62,1),(69,1),(140,1),(141,1),(151,1),(241,1),(253,1),(344,1)}
        97:{2,4,7}:{(59,1),(63,1),(141,1),(142,1)}
        98:{2,4,7}:{(60,1),(71,1),(134,1),(143,1),(147,1)}
        99:{2,3,6}:{(60,1),(61,1),(72,1),(135,1),(143,1)}
       100:{2,5,6}:{(61,1),(62,1),(65,1),(140,1),(145,1),(347,1)}
       101:{1,4,6}:{(62,1),(63,1),(66,1),(141,1),(145,1),(155,1)}
       102:{3,4,6}:{(63,1),(67,1),(75,1),(142,1),(495,1)}
       103:{2,3,5}:{(64,1),(65,1),(137,1),(147,1),(148,1)}
       104:{2,4,5}:{(65,1),(66,1),(145,1),(147,1),(148,1)}
       105:{1,3,4,5}:{(66,1),(67,1),(146,1),(148,1),(149,1),(237,1),(248,1),(254,1),(336,1),(353,1),(436,1)}
       106:{3,6,7}:{(68,1),(72,1),(151,1),(241,1)}
       107:{2,5,7}:{(68,1),(69,1),(73,1),(151,1)}
       108:{1,4,5,7}:{(69,1),(70,1),(74,1),(77,1),(141,1),(152,1),(153,1),(253,1),(351,1),(356,1)}
       109:{3,5,7}:{(70,1),(75,1),(78,1),(142,1),(435,1)}
       110:{3,4,6}:{(71,1),(72,1),(143,1),(154,1),(155,1)}
       111:{3,5,6}:{(72,1),(73,1),(151,1),(154,1),(155,1)}
       112:{2,4,5,6}:{(73,1),(74,1),(145,1),(152,1),(155,1),(156,1),(157,1),(243,1),(255,1),(257,1),(341,1),(355,1)}
       113:{1,3,5,6}:{(74,1),(75,1),(146,1),(153,1),(156,1),(157,1),(336,1),(421,1)}
       114:{3,5,6,7}:{(76,1),(151,1),(158,1),(159,1),(249,1),(258,1)}
       115:{2,4,6,7}:{(76,1),(77,1),(152,1),(158,1),(159,1),(160,1),(341,1)}
       116:{1,3,6,7}:{(77,1),(78,1),(153,1),(159,1),(160,1),(421,1)}
       117:{2,4,6,7}:{(79,1),(81,1),(83,1),(162,1),(163,1),(171,1)}
       118:{3,5,7}:{(79,1),(82,1),(163,1),(164,1)}
       119:{2,4,5,7}:{(80,1),(84,1),(165,1),(166,1),(172,1),(178,1),(264,1),(273,1),(275,1),(362,1),(365,1)}
       120:{1,4,6}:{(80,1),(81,1),(85,1),(166,1),(167,1)}
       121:{2,5,6}:{(81,1),(82,1),(163,1),(167,1),(191,1)}
       122:{4,5,6}:{(82,1),(164,1),(202,1),(300,1)}
       123:{1,3,6,7}:{(83,1),(85,1),(162,1),(169,1),(170,1),(263,1),(442,1)}
       124:{2,3,5,7}:{(83,1),(86,1),(163,1),(170,1),(171,1),(266,1),(364,1),(372,1)}
       125:{2,3,5,7}:{(84,1),(87,1),(91,1),(165,1),(172,1),(173,1),(177,1),(275,1)}
       126:{2,6}:{(84,1),(85,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(167,1),(170,1),(174,1),(175,1),(268,1),(277,1),(368,1),(376,1)}
       128:{2,4,6}:{(86,1),(90,1),(171,1),(175,1),(176,1)}
       129:{2,3,6}:{(87,1),(88,1),(93,1),(177,1),(277,1),(456,1)}
       130:{2,5}:{(88,1),(89,1)}
       131:{1,4,5}:{(89,1),(90,1),(175,1),(178,1),(185,1),(365,1)}
       132:{3,4,5}:{(90,1),(176,1),(195,1),(295,1),(552,1)}
       133:{1,2,6,7}:{(92,1),(95,1),(169,1),(180,1),(181,1),(209,1),(310,1),(442,1),(457,1),(499,1),(509,1)}
       134:{1,4,7}:{(91,1),(98,1),(172,1),(182,1),(185,1)}
       135:{1,3,6}:{(91,1),(92,1),(99,1),(173,1),(182,1)}
       136:{1,2,5,6}:{(92,1),(94,1),(100,1),(174,1),(181,1),(183,1),(184,1),(205,1),(306,1),(368,1),(383,1),(385,1),(449,1),(457,1),(460,1),(509,1)}
       137:{1,3,5}:{(93,1),(94,1),(103,1),(177,1),(185,1)}
       138:{1,2,4,5}:{(94,1),(104,1),(178,1),(184,1),(185,1),(186,1),(197,1),(281,1),(285,1),(288,1),(299,1),(378,1),(383,1),(386,1),(397,1),(460,1),(503,1),(511,1)}
       139:{2,3,6,7}:{(95,1),(99,1),(106,1),(180,1),(187,1),(188,1),(387,1),(457,1),(499,1),(532,1),(536,1)}
       140:{2,5,7}:{(95,1),(96,1),(100,1),(189,1),(390,1)}
       141:{1,4,7}:{(96,1),(97,1),(101,1),(189,1),(199,1)}
       142:{3,4,7}:{(97,1),(102,1),(109,1),(470,1)}
       143:{2,4,6}:{(98,1),(99,1),(110,1),(182,1),(191,1)}
       144:{2,3,5,6}:{(99,1),(100,1),(103,1),(111,1),(183,1),(188,1),(191,1),(192,1),(193,1),(287,1),(290,1),(295,1),(383,1),(387,1),(449,1),(457,1),(504,1),(508,1),(536,1),(546,1),(549,1)}
       145:{2,4,6}:{(100,1),(101,1),(104,1),(189,1),(193,1)}
       146:{1,3,4,6}:{(101,1),(102,1),(105,1),(113,1),(190,1),(193,1),(194,1),(203,1),(297,1),(305,1),(398,1)}
       147:{2,4}:{(103,1),(185,1),(195,1)}
       148:{3,5}:{(104,1),(193,1),(195,1)}
       149:{2,4,5}:{(105,1),(194,1),(196,1),(197,1),(288,1),(299,1),(383,1)}
       150:{3,4,6,7}:{(106,1),(110,1),(187,1),(198,1),(199,1),(292,1),(300,1),(387,1),(532,1),(547,1),(548,1)}
       151:{3,5,7}:{(106,1),(107,1),(111,1),(199,1)}
       152:{2,4,5,7}:{(107,1),(108,1),(112,1),(115,1),(189,1),(199,1),(200,1),(201,1),(206,1),(302,1),(308,1)}
       153:{1,3,5,7}:{(108,1),(109,1),(113,1),(116,1),(190,1),(200,1),(201,1)}
       154:{3,5}:{(110,1),(191,1),(202,1)}
       155:{4,6}:{(111,1),(199,1),(202,1)}
       156:{3,5,6}:{(112,1),(193,1),(200,1),(203,1),(295,1),(387,1)}
       157:{2,5,6}:{(113,1),(194,1),(201,1),(205,1),(383,1),(457,1)}
       158:{4,6,7}:{(114,1),(199,1),(206,1),(300,1)}
       159:{3,6,7}:{(115,1),(200,1),(387,1)}
       160:{2,6,7}:{(116,1),(201,1),(209,1),(457,1)}
       161:{3,5,6,7}:{(118,1),(210,1),(211,1),(249,1),(313,1),(541,1)}
       162:{1,4,6,7}:{(117,1),(120,1),(123,1),(212,1),(213,1),(222,1)}
       163:{2,5,7}:{(117,1),(118,1),(121,1),(213,1)}
       164:{4,5,7}:{(118,1),(122,1),(211,1)}
       165:{3,5,7}:{(119,1),(215,1),(216,1),(229,1),(318,1),(324,1)}
       166:{2,4,6}:{(119,1),(120,1),(126,1),(216,1),(217,1),(319,1)}
       167:{1,5,6}:{(120,1),(121,1),(213,1),(217,1),(234,1)}
       168:{2,4,5,6}:{(121,1),(122,1),(128,1),(214,1),(218,1),(219,1),(243,1),(321,1),(341,1),(480,1),(540,1),(550,1)}
       169:{2,6,7}:{(123,1),(126,1),(221,1)}
       170:{1,3,5,7}:{(123,1),(124,1),(127,1),(213,1),(221,1),(222,1),(315,1),(324,1),(409,1),(416,1)}
       171:{2,4,7}:{(124,1),(128,1),(222,1),(223,1)}
       172:{2,4,7}:{(125,1),(134,1),(215,1),(224,1),(228,1)}
       173:{2,3,6}:{(125,1),(126,1),(135,1),(216,1),(224,1)}
       174:{2,5,6}:{(126,1),(127,1),(130,1),(221,1),(226,1),(419,1)}
       175:{1,4,6}:{(127,1),(128,1),(131,1),(222,1),(226,1),(319,1)}
       176:{3,4,6}:{(128,1),(132,1),(219,1),(223,1),(550,1)}
       177:{2,3,5}:{(129,1),(130,1),(137,1),(228,1),(229,1)}
       178:{2,4,5}:{(130,1),(131,1),(226,1),(228,1),(229,1)}
       179:{1,3,4,5}:{(131,1),(132,1),(227,1),(229,1),(230,1),(237,1),(331,1),(336,1),(410,1),(479,1),(522,1)}
       180:{1,3,6,7}:{(133,1),(135,1),(139,1),(220,1),(231,1),(232,1),(421,1),(486,1),(526,1)}
       181:{1,2,5,7}:{(133,1),(136,1),(140,1),(221,1),(232,1),(233,1),(253,1),(352,1),(409,1),(422,1),(424,1),(478,1)}
       182:{1,4,6}:{(134,1),(135,1),(143,1),(224,1),(234,1)}
       183:{1,3,5,6}:{(135,1),(136,1),(137,1),(144,1),(225,1),(232,1),(234,1),(235,1),(236,1),(332,1),(336,1),(338,1),(421,1),(425,1),(486,1),(489,1),(526,1),(545,1)}
       184:{1,2,4,6}:{(136,1),(138,1),(145,1),(226,1),(233,1),(235,1),(236,1),(246,1),(329,1),(337,1),(347,1),(354,1),(419,1),(480,1)}
       185:{1,4}:{(137,1),(147,1),(228,1)}
       186:{1,3,5}:{(138,1),(148,1),(229,1),(236,1),(237,1),(238,1),(427,1),(436,1),(522,1)}
       187:{2,4,6,7}:{(139,1),(143,1),(150,1),(231,1),(239,1),(240,1),(341,1),(544,1)}
       188:{2,3,5,7}:{(139,1),(140,1),(144,1),(151,1),(232,1),(239,1),(240,1),(241,1),(335,1),(342,1),(422,1),(478,1),(521,1),(541,1)}
       189:{2,4,7}:{(140,1),(141,1),(145,1),(241,1)}
       190:{1,3,4,7}:{(141,1),(142,1),(146,1),(153,1),(241,1),(242,1),(251,1),(344,1),(351,1),(435,1)}
       191:{2,5}:{(143,1),(154,1),(234,1)}
       192:{2,4,6}:{(144,1),(147,1),(155,1),(235,1),(240,1),(243,1),(244,1),(525,1),(550,1)}
       193:{3,6}:{(145,1),(148,1),(241,1)}
       194:{2,4,6}:{(146,1),(149,1),(157,1),(242,1),(245,1),(246,1),(347,1)}
       195:{3,4}:{(147,1),(148,1)}
       196:{2,3,5}:{(148,1),(149,1),(245,1),(247,1),(248,1),(436,1)}
       197:{1,4,5}:{(149,1),(246,1),(248,1),(339,1),(425,1)}
       198:{3,5,7}:{(150,1),(154,1),(239,1),(249,1),(250,1),(551,1)}
       199:{4,7}:{(151,1),(155,1)}
       200:{3,5,7}:{(152,1),(156,1),(159,1),(241,1),(251,1)}
       201:{2,5,7}:{(153,1),(157,1),(160,1),(242,1),(253,1)}
       202:{4,5}:{(154,1),(155,1)}
       203:{3,4,6}:{(155,1),(156,1),(251,1),(254,1),(255,1)}
       204:{2,3,5,6}:{(156,1),(157,1),(245,1),(252,1),(255,1),(256,1),(345,1),(355,1),(428,1)}
       205:{1,5,6}:{(157,1),(246,1),(253,1),(425,1),(486,1)}
       206:{4,5,7}:{(158,1),(257,1),(258,1)}
       207:{3,4,6,7}:{(158,1),(159,1),(251,1),(258,1),(259,1),(349,1)}
       208:{2,3,6,7}:{(159,1),(160,1),(252,1),(259,1),(260,1),(428,1)}
       209:{1,6,7}:{(160,1),(253,1),(486,1)}
       210:{2,5,6,7}:{(161,1),(163,1),(261,1),(262,1),(290,1),(531,1)}
       211:{4,6,7}:{(161,1),(164,1),(300,1),(547,1)}
       212:{2,4,6,7}:{(162,1),(166,1),(169,1),(263,1),(264,1),(273,1),(362,1)}
       213:{1,5,7}:{(162,1),(163,1),(167,1),(264,1)}
       214:{2,4,5,7}:{(163,1),(164,1),(168,1),(171,1),(262,1),(265,1),(266,1),(364,1),(502,1),(531,1),(547,1)}
       215:{3,4,7}:{(165,1),(172,1),(267,1),(279,1),(362,1)}
       216:{3,6}:{(165,1),(166,1)}
       217:{2,5,6}:{(166,1),(167,1),(264,1),(268,1),(275,1)}
       218:{1,4,5,6}:{(167,1),(168,1),(175,1),(265,1),(269,1),(270,1),(285,1),(368,1),(379,1),(448,1),(530,1)}
       219:{3,5,6}:{(168,1),(176,1),(266,1),(295,1),(387,1),(504,1)}
       220:{2,3,6,7}:{(169,1),(173,1),(180,1),(263,1),(271,1),(272,1),(310,1),(401,1),(450,1),(457,1),(512,1)}
       221:{2,5,7}:{(169,1),(170,1),(174,1),(273,1),(453,1)}
       222:{1,4,7}:{(170,1),(171,1),(175,1),(273,1),(362,1)}
       223:{3,4,7}:{(171,1),(176,1),(266,1),(547,1)}
       224:{2,4,6}:{(172,1),(173,1),(182,1),(267,1),(275,1)}
       225:{2,3,5,6}:{(173,1),(174,1),(177,1),(183,1),(268,1),(272,1),(275,1),(276,1),(277,1),(287,1),(306,1),(369,1),(374,1),(383,1),(398,1),(450,1),(457,1),(465,1),(469,1),(512,1),(539,1)}
       226:{2,4,6}:{(174,1),(175,1),(178,1),(273,1),(277,1)}
       227:{1,3,4,6}:{(175,1),(176,1),(179,1),(270,1),(274,1),(277,1),(278,1),(366,1),(376,1),(448,1),(504,1)}
       228:{2,4}:{(177,1),(185,1),(279,1)}
       229:{3,5}:{(178,1),(277,1),(279,1)}
       230:{2,4,5}:{(179,1),(278,1),(280,1),(281,1),(288,1),(378,1),(383,1)}
       231:{1,4,6,7}:{(180,1),(182,1),(187,1),(271,1),(282,1),(283,1),(379,1),(538,1)}
       232:{1,3,5,7}:{(180,1),(181,1),(183,1),(188,1),(272,1),(282,1),(283,1),(284,1),(382,1),(458,1)}
       233:{1,2,4,7}:{(181,1),(184,1),(189,1),(273,1),(283,1),(284,1),(294,1),(373,1),(381,1),(390,1),(396,1),(453,1),(502,1)}
       234:{1,5}:{(182,1),(191,1),(275,1)}
       235:{1,4,6}:{(183,1),(185,1),(192,1),(276,1),(283,1),(285,1),(511,1)}
       236:{1,3,6}:{(184,1),(186,1),(193,1),(277,1),(284,1),(287,1),(398,1),(504,1)}
       237:{1,3,4}:{(185,1),(186,1),(195,1),(279,1),(288,1),(468,1),(511,1),(535,1)}
       238:{2,3,5}:{(186,1),(287,1),(288,1),(289,1),(299,1),(378,1),(383,1),(393,1),(456,1)}
       239:{2,5,7}:{(187,1),(191,1),(198,1),(282,1),(290,1),(549,1)}
       240:{2,4,7}:{(188,1),(192,1),(199,1),(283,1),(292,1),(547,1)}
       241:{3,7}:{(189,1),(193,1)}
       242:{2,4,7}:{(190,1),(194,1),(201,1),(293,1),(294,1),(390,1)}
       243:{2,4,5}:{(191,1),(192,1),(202,1),(285,1),(295,1),(383,1),(549,1),(552,1)}
       244:{3,4,6}:{(192,1),(193,1),(195,1),(292,1),(295,1),(387,1),(504,1),(535,1)}
       245:{2,3,6}:{(193,1),(194,1),(196,1),(293,1),(297,1),(398,1)}
       246:{1,4,6}:{(194,1),(197,1),(205,1),(294,1),(297,1)}
       247:{2,3,4}:{(195,1),(196,1),(288,1),(298,1),(456,1),(468,1)}
       248:{1,3,5}:{(196,1),(197,1),(297,1),(298,1),(299,1)}
       249:{3,5,6}:{(198,1),(290,1),(300,1),(387,1)}
       250:{4,5,7}:{(198,1),(199,1),(202,1),(300,1),(547,1),(552,1)}
       251:{3,4,7}:{(199,1),(200,1),(203,1),(302,1)}
       252:{2,3,5,7}:{(200,1),(201,1),(204,1),(208,1),(293,1),(302,1),(303,1),(308,1)}
       253:{1,5,7}:{(201,1),(205,1),(209,1),(294,1)}
       254:{3,4,5}:{(202,1),(203,1),(295,1),(304,1),(535,1)}
       255:{2,4,6}:{(203,1),(204,1),(302,1),(304,1),(305,1)}
       256:{1,3,5,6}:{(204,1),(205,1),(297,1),(303,1),(305,1),(306,1),(391,1),(398,1),(399,1),(462,1),(469,1)}
       257:{4,5,6}:{(206,1),(300,1),(307,1),(552,1)}
       258:{3,5,7}:{(206,1),(207,1),(307,1),(308,1)}
       259:{2,4,6,7}:{(207,1),(208,1),(302,1),(308,1),(309,1),(394,1)}
       260:{1,3,6,7}:{(208,1),(209,1),(303,1),(309,1),(310,1),(401,1),(462,1)}
       261:{1,5,6,7}:{(210,1),(213,1),(311,1),(312,1),(332,1),(517,1)}
       262:{2,4,6,7}:{(210,1),(211,1),(214,1),(312,1),(313,1),(341,1),(404,1)}
       263:{3,6,7}:{(212,1),(216,1),(315,1),(324,1)}
       264:{2,5,7}:{(212,1),(213,1),(217,1),(315,1)}
       265:{1,4,5,7}:{(213,1),(214,1),(218,1),(222,1),(312,1),(316,1),(317,1),(409,1),(477,1),(517,1)}
       266:{3,5,7}:{(214,1),(219,1),(223,1),(313,1),(521,1)}
       267:{3,4,6}:{(215,1),(216,1),(224,1),(318,1),(319,1)}
       268:{3,5,6}:{(216,1),(217,1),(315,1),(318,1),(319,1)}
       269:{2,4,5,6}:{(217,1),(218,1),(226,1),(316,1),(319,1),(320,1),(321,1),(326,1),(411,1),(413,1),(471,1),(516,1)}
       270:{1,3,5,6}:{(218,1),(219,1),(227,1),(317,1),(320,1),(321,1),(336,1),(421,1)}
       271:{2,4,6,7}:{(220,1),(224,1),(231,1),(314,1),(322,1),(323,1),(413,1),(528,1)}
       272:{2,3,5,7}:{(220,1),(221,1),(225,1),(232,1),(315,1),(322,1),(323,1),(324,1),(335,1),(352,1),(414,1),(422,1),(435,1),(438,1)}
       273:{2,4,7}:{(221,1),(222,1),(226,1),(324,1)}
       274:{1,3,4,7}:{(222,1),(223,1),(227,1),(317,1),(324,1),(325,1),(407,1),(416,1),(477,1),(521,1)}
       275:{2,5}:{(224,1),(234,1),(318,1)}
       276:{2,4,6}:{(225,1),(228,1),(235,1),(319,1),(323,1),(326,1),(327,1),(492,1),(495,1)}
       277:{3,6}:{(226,1),(229,1),(324,1)}
       278:{2,4,6}:{(227,1),(230,1),(321,1),(325,1),(328,1),(329,1),(419,1)}
       279:{3,4}:{(228,1),(229,1)}
       280:{2,3,5}:{(229,1),(230,1),(328,1),(330,1),(331,1),(522,1)}
       281:{1,4,5}:{(230,1),(329,1),(331,1),(339,1),(425,1)}
       282:{1,5,7}:{(231,1),(234,1),(239,1),(322,1),(332,1),(545,1)}
       283:{1,4,7}:{(232,1),(235,1),(240,1),(323,1)}
       284:{1,3,7}:{(233,1),(236,1),(241,1),(324,1),(335,1),(435,1),(521,1)}
       285:{1,4,5}:{(234,1),(235,1),(243,1),(326,1),(336,1),(425,1),(545,1)}
       286:{1,3,4,6}:{(235,1),(236,1),(237,1),(244,1),(327,1),(334,1),(336,1),(337,1),(421,1)}
       287:{2,3,6}:{(236,1),(238,1),(335,1),(337,1),(338,1),(347,1),(419,1)}
       288:{2,4}:{(237,1),(238,1),(339,1)}
       289:{1,3,5}:{(238,1),(338,1),(339,1),(340,1),(425,1),(427,1)}
       290:{2,5,6}:{(239,1),(249,1),(332,1),(341,1)}
       291:{2,4,5,7}:{(239,1),(240,1),(243,1),(250,1),(333,1),(341,1),(342,1),(422,1)}
       292:{3,4,7}:{(240,1),(241,1),(244,1),(342,1),(521,1)}
       293:{2,3,7}:{(241,1),(242,1),(245,1),(344,1),(435,1)}
       294:{1,4,7}:{(242,1),(246,1),(253,1),(344,1)}
       295:{3,5}:{(243,1),(244,1)}
       296:{2,3,4,6}:{(244,1),(245,1),(247,1),(255,1),(337,1),(343,1),(345,1),(346,1),(428,1),(485,1),(525,1),(544,1)}
       297:{1,3,6}:{(245,1),(246,1),(248,1),(344,1),(347,1)}
       298:{1,3,4}:{(247,1),(248,1),(339,1),(348,1),(427,1)}
       299:{2,5}:{(248,1),(347,1),(348,1)}
       300:{4,6}:{(249,1),(250,1)}
       301:{3,4,5,7}:{(250,1),(251,1),(254,1),(258,1),(342,1),(349,1),(350,1),(543,1),(551,1)}
       302:{2,4,7}:{(251,1),(252,1),(255,1),(351,1)}
       303:{1,3,5,7}:{(252,1),(253,1),(256,1),(260,1),(344,1),(351,1),(352,1),(356,1),(435,1),(438,1)}
       304:{2,4,5}:{(254,1),(255,1),(345,1),(353,1),(525,1)}
       305:{1,4,6}:{(255,1),(256,1),(351,1),(353,1),(354,1),(495,1)}
       306:{2,5,6}:{(256,1),(347,1),(352,1),(354,1),(431,1),(490,1)}
       307:{3,5,6}:{(257,1),(258,1),(349,1),(355,1),(551,1)}
       308:{2,5,7}:{(258,1),(259,1),(355,1),(356,1)}
       309:{1,4,6,7}:{(259,1),(260,1),(351,1),(356,1),(357,1),(433,1)}
       310:{2,6,7}:{(260,1),(352,1),(490,1)}
       311:{2,5,6,7}:{(261,1),(264,1),(358,1),(359,1),(369,1),(497,1)}
       312:{1,4,6,7}:{(261,1),(262,1),(265,1),(359,1),(360,1),(379,1),(442,1)}
       313:{3,6,7}:{(262,1),(266,1),(387,1)}
       314:{3,4,6,7}:{(263,1),(267,1),(271,1),(361,1),(362,1),(371,1),(401,1),(443,1),(450,1),(470,1),(514,1)}
       315:{3,5,7}:{(263,1),(264,1),(268,1),(362,1)}
       316:{2,4,5,7}:{(264,1),(265,1),(269,1),(273,1),(359,1),(362,1),(363,1),(364,1),(439,1),(445,1),(497,1)}
       317:{1,3,5,7}:{(265,1),(266,1),(270,1),(274,1),(360,1),(363,1),(364,1)}
       318:{3,5}:{(267,1),(275,1),(365,1)}
       319:{4,6}:{(268,1),(362,1),(365,1)}
       320:{3,5,6}:{(269,1),(277,1),(363,1),(366,1),(374,1),(450,1)}
       321:{2,5,6}:{(270,1),(278,1),(364,1),(368,1),(383,1),(457,1)}
       322:{2,5,7}:{(271,1),(275,1),(282,1),(361,1),(369,1),(539,1)}
       323:{2,4,7}:{(272,1),(276,1),(283,1),(362,1),(371,1),(470,1)}
       324:{3,7}:{(273,1),(277,1)}
       325:{2,4,7}:{(274,1),(278,1),(364,1),(372,1),(373,1),(453,1)}
       326:{2,4,5}:{(275,1),(276,1),(285,1),(365,1),(374,1),(383,1),(515,1),(539,1)}
       327:{3,4,6}:{(276,1),(277,1),(279,1),(371,1),(374,1),(398,1),(450,1),(468,1)}
       328:{2,3,6}:{(277,1),(278,1),(280,1),(372,1),(376,1),(504,1)}
       329:{1,4,6}:{(278,1),(281,1),(368,1),(373,1),(376,1)}
       330:{2,3,4}:{(279,1),(280,1),(288,1),(377,1),(393,1),(535,1)}
       331:{1,3,5}:{(280,1),(281,1),(376,1),(377,1),(378,1)}
       332:{1,5,6}:{(282,1),(290,1),(369,1),(379,1)}
       333:{1,4,5,7}:{(282,1),(283,1),(285,1),(291,1),(370,1),(379,1),(380,1),(458,1)}
       334:{1,3,4,7}:{(283,1),(284,1),(286,1),(292,1),(371,1),(380,1),(381,1)}
       335:{2,3,7}:{(284,1),(287,1),(381,1),(382,1),(390,1),(453,1)}
       336:{1,3,5}:{(285,1),(286,1),(295,1),(374,1),(383,1)}
       337:{2,4,6}:{(286,1),(287,1),(288,1),(381,1),(383,1),(384,1),(457,1)}
       338:{1,3,6}:{(287,1),(289,1),(382,1),(384,1),(385,1)}
       339:{1,4}:{(288,1),(289,1)}
       340:{1,2,5}:{(289,1),(299,1),(378,1),(385,1),(386,1)}
       341:{2,4,6}:{(290,1),(291,1),(300,1),(379,1),(387,1),(457,1)}
       342:{3,5,7}:{(291,1),(292,1),(295,1),(387,1)}
       343:{2,3,4,7}:{(292,1),(293,1),(296,1),(302,1),(381,1),(388,1),(389,1),(507,1),(537,1)}
       344:{1,3,7}:{(293,1),(294,1),(297,1),(390,1)}
       345:{2,3,5}:{(295,1),(296,1),(304,1),(383,1),(391,1),(549,1)}
       346:{1,3,4,6}:{(296,1),(297,1),(298,1),(305,1),(384,1),(389,1),(391,1),(392,1),(398,1),(461,1),(462,1),(468,1),(511,1),(514,1),(538,1)}
       347:{2,6}:{(297,1),(299,1),(390,1)}
       348:{2,4}:{(298,1),(299,1),(393,1)}
       349:{3,4,6}:{(300,1),(301,1),(307,1),(387,1),(394,1)}
       350:{2,4,5,7}:{(301,1),(302,1),(304,1),(308,1),(388,1),(394,1),(395,1),(537,1),(549,1)}
       351:{1,4,7}:{(302,1),(303,1),(305,1),(396,1),(470,1)}
       352:{2,5,7}:{(303,1),(306,1),(310,1),(390,1),(396,1)}
       353:{1,4,5}:{(304,1),(305,1),(391,1),(397,1),(511,1),(515,1)}
       354:{2,4,6}:{(305,1),(306,1),(396,1),(397,1),(398,1)}
       355:{2,5,6}:{(307,1),(308,1),(394,1),(399,1),(549,1)}
       356:{1,5,7}:{(308,1),(309,1),(399,1),(400,1)}
       357:{2,4,6,7}:{(309,1),(310,1),(396,1),(400,1),(401,1),(466,1),(470,1)}
       358:{3,5,6,7}:{(311,1),(315,1),(402,1),(403,1),(405,1),(472,1)}
       359:{2,4,6,7}:{(311,1),(312,1),(316,1),(402,1),(403,1),(404,1),(413,1)}
       360:{1,3,6,7}:{(312,1),(313,1),(317,1),(403,1),(404,1),(421,1)}
       361:{3,5,7}:{(314,1),(318,1),(322,1),(405,1),(406,1),(529,1)}
       362:{4,7}:{(315,1),(319,1)}
       363:{3,5,7}:{(316,1),(320,1),(324,1),(403,1),(407,1)}
       364:{2,5,7}:{(317,1),(321,1),(325,1),(404,1),(409,1)}
       365:{4,5}:{(318,1),(319,1)}
       366:{3,4,6}:{(319,1),(320,1),(407,1),(410,1),(411,1)}
       367:{2,3,5,6}:{(320,1),(321,1),(328,1),(408,1),(411,1),(412,1),(417,1),(481,1),(516,1)}
       368:{1,5,6}:{(321,1),(329,1),(409,1),(425,1),(486,1)}
       369:{2,5,6}:{(322,1),(332,1),(405,1),(413,1)}
       370:{2,4,5,7}:{(322,1),(323,1),(326,1),(333,1),(406,1),(413,1),(414,1),(422,1)}
       371:{3,4,7}:{(323,1),(324,1),(327,1),(414,1),(435,1)}
       372:{2,3,7}:{(324,1),(325,1),(328,1),(416,1),(521,1)}
       373:{1,4,7}:{(325,1),(329,1),(409,1),(416,1)}
       374:{3,5}:{(326,1),(327,1)}
       375:{2,3,4,6}:{(327,1),(328,1),(330,1),(337,1),(411,1),(415,1),(417,1),(418,1),(432,1),(481,1),(492,1),(528,1)}
       376:{1,3,6}:{(328,1),(329,1),(331,1),(416,1),(419,1)}
       377:{1,3,4}:{(330,1),(331,1),(339,1),(420,1),(427,1)}
       378:{2,5}:{(331,1),(419,1),(420,1)}
       379:{1,4,6}:{(332,1),(333,1),(341,1),(413,1),(421,1),(486,1)}
       380:{1,3,5,7}:{(333,1),(334,1),(336,1),(342,1),(414,1),(421,1),(422,1)}
       381:{2,4,7}:{(334,1),(335,1),(337,1),(422,1),(423,1)}
       382:{1,3,7}:{(335,1),(338,1),(423,1),(424,1)}
       383:{2,5}:{(336,1),(337,1),(425,1)}
       384:{1,4,6}:{(337,1),(338,1),(339,1),(423,1),(425,1),(486,1)}
       385:{1,2,6}:{(338,1),(340,1),(347,1),(419,1),(424,1)}
       386:{1,2,4}:{(339,1),(340,1),(348,1),(420,1),(427,1)}
       387:{3,6}:{(341,1),(342,1)}
       388:{2,3,5,7}:{(342,1),(343,1),(345,1),(350,1),(422,1),(428,1),(429,1)}
       389:{1,3,4,7}:{(343,1),(344,1),(346,1),(351,1),(423,1),(429,1),(430,1),(435,1),(488,1),(494,1),(527,1)}
       390:{2,7}:{(344,1),(347,1)}
       391:{1,3,5}:{(345,1),(346,1),(353,1),(425,1),(431,1),(436,1),(529,1),(545,1)}
       392:{2,4,6}:{(346,1),(347,1),(348,1),(430,1),(431,1),(432,1),(490,1),(492,1)}
       393:{2,3}:{(348,1),(427,1)}
       394:{2,4,6}:{(349,1),(350,1),(355,1),(428,1),(433,1)}
       395:{1,4,5,7}:{(350,1),(351,1),(353,1),(356,1),(429,1),(433,1),(434,1),(527,1),(545,1)}
       396:{2,4,7}:{(351,1),(352,1),(354,1),(435,1)}
       397:{2,4,5}:{(353,1),(354,1),(431,1),(436,1),(492,1)}
       398:{3,6}:{(354,1),(435,1),(436,1)}
       399:{1,5,6}:{(355,1),(356,1),(433,1),(437,1),(545,1)}
       400:{2,5,7}:{(356,1),(357,1),(437,1),(438,1)}
       401:{3,6,7}:{(357,1),(435,1),(438,1),(493,1)}
       402:{4,6,7}:{(358,1),(362,1),(439,1),(443,1)}
       403:{3,6,7}:{(359,1),(363,1),(450,1)}
       404:{2,6,7}:{(360,1),(364,1),(442,1),(457,1)}
       405:{3,5,6}:{(361,1),(369,1),(443,1),(450,1)}
       406:{4,5,7}:{(361,1),(362,1),(365,1),(443,1),(470,1),(515,1)}
       407:{3,4,7}:{(362,1),(363,1),(366,1),(445,1)}
       408:{2,3,5,7}:{(363,1),(364,1),(367,1),(372,1),(441,1),(445,1),(446,1),(497,1)}
       409:{1,5,7}:{(364,1),(368,1),(373,1),(442,1)}
       410:{3,4,5}:{(365,1),(366,1),(374,1),(447,1),(468,1)}
       411:{2,4,6}:{(366,1),(367,1),(445,1),(447,1),(448,1)}
       412:{1,3,5,6}:{(367,1),(368,1),(376,1),(446,1),(448,1),(449,1),(454,1),(504,1),(505,1),(530,1),(546,1)}
       413:{2,4,6}:{(369,1),(370,1),(379,1),(443,1),(450,1),(457,1)}
       414:{3,5,7}:{(370,1),(371,1),(374,1),(450,1)}
       415:{2,3,4,7}:{(371,1),(372,1),(375,1),(381,1),(445,1),(451,1),(452,1),(464,1),(513,1)}
       416:{1,3,7}:{(372,1),(373,1),(376,1),(453,1)}
       417:{2,3,5}:{(374,1),(375,1),(383,1),(447,1),(454,1),(539,1)}
       418:{1,3,4,6}:{(375,1),(376,1),(377,1),(384,1),(448,1),(452,1),(454,1),(455,1),(461,1),(504,1),(505,1),(511,1),(535,1),(538,1),(548,1)}
       419:{2,6}:{(376,1),(378,1),(453,1)}
       420:{2,4}:{(377,1),(378,1),(456,1)}
       421:{1,3,6}:{(379,1),(380,1),(387,1),(450,1),(457,1)}
       422:{2,5,7}:{(380,1),(381,1),(383,1),(457,1),(458,1)}
       423:{1,4,7}:{(381,1),(382,1),(384,1),(458,1)}
       424:{1,2,7}:{(382,1),(385,1),(390,1),(453,1)}
       425:{1,5}:{(383,1),(384,1)}
       426:{1,2,4,6}:{(384,1),(385,1),(386,1),(392,1),(455,1),(459,1),(460,1),(461,1),(509,1),(511,1),(538,1)}
       427:{1,3}:{(386,1),(393,1),(456,1)}
       428:{2,3,6}:{(387,1),(388,1),(394,1),(457,1),(462,1)}
       429:{1,3,5,7}:{(388,1),(389,1),(391,1),(395,1),(458,1),(462,1),(463,1),(467,1)}
       430:{2,4,7}:{(389,1),(390,1),(392,1),(463,1),(464,1)}
       431:{2,5}:{(391,1),(392,1)}
       432:{2,3,6}:{(392,1),(393,1),(398,1),(461,1),(464,1),(465,1)}
       433:{1,4,6}:{(394,1),(395,1),(399,1),(462,1),(466,1)}
       434:{2,4,5,7}:{(395,1),(396,1),(397,1),(400,1),(463,1),(466,1),(467,1),(470,1),(513,1),(515,1),(539,1)}
       435:{3,7}:{(396,1),(398,1)}
       436:{3,5}:{(397,1),(398,1),(468,1)}
       437:{2,5,6}:{(399,1),(400,1),(466,1),(469,1),(539,1)}
       438:{3,5,7}:{(400,1),(401,1),(469,1),(470,1)}
       439:{4,5,7}:{(402,1),(471,1),(472,1)}
       440:{3,4,6,7}:{(402,1),(403,1),(407,1),(472,1),(473,1),(475,1)}
       441:{2,3,6,7}:{(403,1),(404,1),(408,1),(473,1),(474,1),(481,1)}
       442:{1,6,7}:{(404,1),(409,1),(486,1)}
       443:{4,6}:{(405,1),(406,1)}
       444:{3,4,5,7}:{(406,1),(407,1),(410,1),(414,1),(472,1),(475,1),(476,1),(494,1),(529,1)}
       445:{2,4,7}:{(407,1),(408,1),(411,1),(477,1)}
       446:{1,3,5,7}:{(408,1),(409,1),(412,1),(416,1),(474,1),(477,1),(478,1),(517,1),(521,1),(541,1)}
       447:{2,4,5}:{(410,1),(411,1),(417,1),(479,1),(492,1)}
       448:{1,4,6}:{(411,1),(412,1),(477,1),(479,1),(480,1),(550,1)}
       449:{2,5,6}:{(412,1),(419,1),(478,1),(480,1),(484,1),(523,1)}
       450:{3,6}:{(413,1),(414,1)}
       451:{2,3,5,7}:{(414,1),(415,1),(417,1),(422,1),(476,1),(481,1),(482,1)}
       452:{1,3,4,7}:{(415,1),(416,1),(418,1),(423,1),(477,1),(482,1),(483,1),(488,1),(521,1),(527,1),(543,1)}
       453:{2,7}:{(416,1),(419,1)}
       454:{1,3,5}:{(417,1),(418,1),(425,1),(479,1),(484,1),(522,1),(545,1),(551,1)}
       455:{2,4,6}:{(418,1),(419,1),(420,1),(483,1),(484,1),(485,1),(523,1),(525,1)}
       456:{2,3}:{(420,1),(427,1)}
       457:{2,6}:{(421,1),(422,1),(486,1)}
       458:{1,5,7}:{(422,1),(423,1),(425,1),(486,1)}
       459:{1,2,4,7}:{(423,1),(424,1),(426,1),(430,1),(483,1),(487,1),(488,1),(527,1)}
       460:{1,2,5}:{(425,1),(426,1),(431,1),(484,1),(489,1),(545,1)}
       461:{1,3,6}:{(426,1),(427,1),(432,1),(485,1),(488,1),(489,1)}
       462:{1,3,6}:{(428,1),(429,1),(433,1),(486,1),(490,1),(493,1)}
       463:{2,5,7}:{(429,1),(430,1),(431,1),(490,1)}
       464:{2,3,7}:{(430,1),(432,1),(435,1),(488,1)}
       465:{2,3,5}:{(431,1),(432,1),(436,1),(489,1),(492,1)}
       466:{2,4,6}:{(433,1),(434,1),(437,1),(490,1),(493,1),(495,1)}
       467:{3,5,7}:{(434,1),(435,1),(436,1),(493,1),(494,1),(529,1)}
       468:{3,4}:{(436,1),(492,1)}
       469:{3,5,6}:{(437,1),(438,1),(493,1),(495,1),(529,1)}
       470:{4,7}:{(438,1),(495,1)}
       471:{4,5,6}:{(439,1),(443,1),(496,1),(515,1)}
       472:{3,5,7}:{(439,1),(440,1),(496,1),(497,1)}
       473:{2,4,6,7}:{(440,1),(441,1),(445,1),(497,1),(498,1),(500,1)}
       474:{1,3,6,7}:{(441,1),(442,1),(446,1),(498,1),(499,1),(505,1),(532,1)}
       475:{3,4,6}:{(443,1),(444,1),(450,1),(496,1),(500,1)}
       476:{2,4,5,7}:{(444,1),(445,1),(447,1),(451,1),(497,1),(500,1),(501,1),(513,1),(539,1)}
       477:{1,4,7}:{(445,1),(446,1),(448,1),(502,1),(547,1)}
       478:{2,5,7}:{(446,1),(449,1),(453,1),(499,1),(502,1)}
       479:{1,4,5}:{(447,1),(448,1),(454,1),(503,1),(511,1),(552,1)}
       480:{2,4,6}:{(448,1),(449,1),(502,1),(503,1),(504,1)}
       481:{2,3,6}:{(450,1),(451,1),(457,1),(500,1),(505,1)}
       482:{1,3,5,7}:{(451,1),(452,1),(454,1),(458,1),(501,1),(505,1),(506,1),(534,1)}
       483:{2,4,7}:{(452,1),(453,1),(455,1),(506,1),(507,1)}
       484:{2,5}:{(454,1),(455,1)}
       485:{2,3,6}:{(455,1),(456,1),(461,1),(504,1),(507,1),(508,1)}
       486:{1,6}:{(457,1),(458,1)}
       487:{1,2,5,7}:{(458,1),(459,1),(460,1),(463,1),(506,1),(509,1),(510,1)}
       488:{1,3,7}:{(459,1),(461,1),(464,1),(507,1)}
       489:{1,3,5}:{(460,1),(461,1),(465,1),(508,1),(511,1)}
       490:{2,6}:{(462,1),(463,1)}
       491:{2,3,5,7}:{(463,1),(464,1),(465,1),(467,1),(510,1),(512,1),(513,1),(539,1)}
       492:{2,4}:{(465,1),(468,1),(511,1)}
       493:{3,6}:{(466,1),(467,1)}
       494:{3,4,7}:{(467,1),(468,1),(470,1),(513,1),(514,1)}
       495:{4,6}:{(469,1),(470,1),(515,1)}
       496:{3,5,6}:{(471,1),(472,1),(475,1),(516,1),(529,1)}
       497:{2,5,7}:{(472,1),(473,1),(516,1),(517,1)}
       498:{1,4,6,7}:{(473,1),(474,1),(477,1),(517,1),(518,1),(519,1)}
       499:{2,6,7}:{(474,1),(478,1),(523,1)}
       500:{2,4,6}:{(475,1),(476,1),(481,1),(516,1),(519,1)}
       501:{1,4,5,7}:{(476,1),(477,1),(479,1),(482,1),(517,1),(519,1),(520,1),(527,1),(545,1)}
       502:{2,4,7}:{(477,1),(478,1),(480,1),(521,1)}
       503:{2,4,5}:{(479,1),(480,1),(484,1),(522,1),(525,1)}
       504:{3,6}:{(480,1),(521,1),(522,1)}
       505:{1,3,6}:{(481,1),(482,1),(486,1),(519,1),(523,1),(542,1)}
       506:{2,5,7}:{(482,1),(483,1),(484,1),(523,1)}
       507:{2,3,7}:{(483,1),(485,1),(488,1),(521,1)}
       508:{2,3,5}:{(484,1),(485,1),(489,1),(522,1),(525,1)}
       509:{1,2,6}:{(486,1),(487,1),(490,1),(523,1),(526,1)}
       510:{1,3,5,7}:{(487,1),(488,1),(489,1),(491,1),(524,1),(526,1),(527,1),(545,1)}
       511:{1,4}:{(489,1),(492,1),(525,1)}
       512:{2,3,6}:{(490,1),(491,1),(493,1),(526,1),(528,1)}
       513:{2,4,7}:{(491,1),(492,1),(494,1),(527,1),(528,1)}
       514:{3,4,6}:{(493,1),(494,1),(495,1),(528,1),(529,1)}
       515:{4,5}:{(495,1),(529,1)}
       516:{2,5,6}:{(496,1),(497,1),(500,1),(530,1),(539,1)}
       517:{1,5,7}:{(497,1),(498,1),(530,1),(531,1)}
       518:{2,4,6,7}:{(498,1),(499,1),(502,1),(531,1),(532,1),(533,1),(547,1)}
       519:{1,4,6}:{(500,1),(501,1),(505,1),(530,1),(533,1)}
       520:{2,4,5,7}:{(501,1),(502,1),(503,1),(506,1),(531,1),(533,1),(534,1),(537,1),(547,1),(549,1),(552,1)}
       521:{3,7}:{(502,1),(504,1)}
       522:{3,5}:{(503,1),(504,1),(535,1)}
       523:{2,6}:{(505,1),(506,1)}
       524:{2,3,5,7}:{(506,1),(507,1),(508,1),(510,1),(534,1),(536,1),(537,1),(549,1)}
       525:{2,4}:{(508,1),(511,1),(535,1)}
       526:{1,3,6}:{(509,1),(510,1),(512,1),(536,1),(538,1)}
       527:{1,4,7}:{(510,1),(511,1),(513,1),(537,1),(538,1)}
       528:{2,4,6}:{(512,1),(513,1),(514,1),(538,1),(539,1)}
       529:{3,5}:{(514,1),(515,1),(539,1)}
       530:{1,5,6}:{(516,1),(517,1),(519,1),(540,1),(545,1)}
       531:{2,5,7}:{(517,1),(518,1),(540,1),(541,1)}
       532:{3,6,7}:{(518,1),(521,1),(541,1),(542,1)}
       533:{2,4,6}:{(519,1),(520,1),(523,1),(540,1),(542,1),(550,1)}
       534:{3,5,7}:{(520,1),(521,1),(522,1),(542,1),(543,1),(551,1)}
       535:{3,4}:{(522,1),(525,1)}
       536:{2,3,6}:{(523,1),(524,1),(526,1),(542,1),(544,1)}
       537:{2,4,7}:{(524,1),(525,1),(527,1),(543,1),(544,1)}
       538:{1,4,6}:{(526,1),(527,1),(528,1),(544,1),(545,1)}
       539:{2,5}:{(528,1),(529,1),(545,1)}
       540:{2,5,6}:{(530,1),(531,1),(533,1),(546,1),(549,1)}
       541:{3,5,7}:{(531,1),(532,1),(546,1),(547,1)}
       542:{3,6}:{(533,1),(534,1)}
       543:{3,4,7}:{(534,1),(535,1),(537,1),(547,1),(548,1)}
       544:{2,4,6}:{(536,1),(537,1),(538,1),(548,1),(549,1)}
       545:{1,5}:{(538,1),(539,1),(549,1)}
       546:{3,5,6}:{(540,1),(541,1),(542,1),(550,1),(551,1)}
       547:{4,7}:{(541,1),(550,1)}
       548:{3,4,6}:{(542,1),(543,1),(544,1),(550,1),(551,1)}
       549:{2,5}:{(544,1),(545,1),(551,1)}
       550:{4,6}:{(546,1),(547,1),(552,1)}
       551:{3,5}:{(548,1),(549,1),(552,1)}
       552:{4,5}:{(550,1),(551,1)}

1447 :   0:{4,5,6}:{(3,1),(4,1),(145,1),(152,1)}
         1:{3,4,5}:{(6,1),(7,1),(119,1),(140,1)}
         2:{5,6,7}:{(8,1),(153,1)}
         3:{4,5,7}:{(0,1),(8,1),(9,1)}
         4:{3,5,6}:{(0,1),(6,1),(9,1),(10,1),(140,1),(150,1)}
         5:{2,3,4}:{(11,1),(12,1),(69,1),(106,1)}
         6:{3,4,6}:{(1,1),(4,1),(13,1),(14,1)}
         7:{2,4,5}:{(1,1),(11,1),(14,1),(15,1),(106,1),(133,1)}
         8:{4,6,7}:{(2,1),(3,1),(16,1),(152,1)}
         9:{3,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1)}
        10:{2,5,6}:{(4,1),(14,1),(17,1),(18,1),(133,1),(147,1)}
        11:{2,3,5}:{(5,1),(7,1),(20,1),(21,1)}
        12:{1,3,4}:{(5,1),(21,1),(22,1),(50,1),(56,1),(91,1)}
        13:{3,4,7}:{(6,1),(9,1),(23,1)}
        14:{2,4,6}:{(6,1),(7,1),(10,1),(20,1),(23,1),(24,1)}
        15:{1,4,5}:{(7,1),(21,1),(24,1),(25,1),(91,1),(123,1)}
        16:{3,6,7}:{(8,1),(9,1),(26,1),(150,1)}
        17:{2,5,7}:{(9,1),(10,1),(23,1),(26,1),(27,1)}
        18:{1,5,6}:{(10,1),(24,1),(27,1),(28,1),(123,1),(142,1)}
        19:{2,3,4}:{(30,1),(31,1),(36,1),(74,1)}
        20:{2,3,6}:{(11,1),(14,1),(33,1),(34,1)}
        21:{1,3,5}:{(11,1),(12,1),(15,1),(34,1),(35,1),(39,1)}
        22:{2,4}:{(12,1),(35,1),(36,1)}
        23:{2,4,7}:{(13,1),(14,1),(17,1),(33,1),(37,1)}
        24:{1,4,6}:{(14,1),(15,1),(18,1),(34,1),(37,1),(38,1)}
        25:{2,4,5}:{(15,1),(35,1),(38,1),(39,1),(74,1),(79,1),(110,1)}
        26:{2,6,7}:{(16,1),(17,1),(40,1),(147,1)}
        27:{1,5,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        28:{2,5,6}:{(18,1),(38,1),(41,1),(42,1),(110,1),(135,1)}
        29:{3,4,5}:{(44,1),(45,1),(56,1),(95,1)}
        30:{2,3,5}:{(19,1),(45,1),(46,1),(47,1)}
        31:{1,3,4}:{(19,1),(47,1),(48,1),(50,1),(91,1),(119,1)}
        32:{1,2,4}:{(22,1),(48,1),(49,1),(50,1),(91,1)}
        33:{2,3,7}:{(20,1),(23,1),(51,1)}
        34:{1,3,6}:{(20,1),(21,1),(24,1),(51,1),(52,1),(55,1)}
        35:{2,5}:{(21,1),(22,1),(52,1)}
        36:{2,3}:{(22,1),(50,1)}
        37:{1,4,7}:{(23,1),(24,1),(27,1),(51,1),(54,1)}
        38:{2,4,6}:{(24,1),(25,1),(28,1),(52,1),(54,1),(55,1),(59,1)}
        39:{3,5}:{(25,1),(55,1),(56,1)}
        40:{1,6,7}:{(26,1),(27,1),(57,1),(142,1)}
        41:{2,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1)}
        42:{3,5,6}:{(28,1),(55,1),(58,1),(59,1),(95,1),(125,1),(126,1)}
        43:{4,5,6}:{(61,1),(62,1),(79,1),(113,1)}
        44:{3,4,6}:{(29,1),(62,1),(63,1),(64,1)}
        45:{2,4,5}:{(29,1),(30,1),(64,1),(65,1),(74,1),(110,1)}
        46:{2,3,6}:{(30,1),(64,1),(66,1),(67,1)}
        47:{1,3,5}:{(30,1),(31,1),(65,1),(67,1),(68,1),(103,1)}
        48:{2,4}:{(31,1),(68,1),(69,1)}
        49:{1,2,5}:{(32,1),(35,1),(68,1),(70,1),(71,1)}
        50:{1,3}:{(32,1),(36,1),(69,1)}
        51:{1,3,7}:{(33,1),(34,1),(37,1),(72,1),(75,1)}
        52:{2,6}:{(34,1),(35,1),(72,1)}
        53:{2,3,5}:{(35,1),(36,1),(39,1),(71,1),(73,1),(74,1),(110,1)}
        54:{2,4,7}:{(37,1),(38,1),(41,1),(72,1),(75,1),(78,1)}
        55:{3,6}:{(38,1),(39,1),(75,1)}
        56:{3,4}:{(39,1),(74,1)}
        57:{2,6,7}:{(40,1),(41,1),(77,1),(135,1)}
        58:{3,5,7}:{(41,1),(42,1),(75,1),(77,1),(78,1),(112,1)}
        59:{4,6}:{(42,1),(78,1),(79,1)}
        60:{5,6,7}:{(80,1),(126,1)}
        61:{4,5,7}:{(43,1),(80,1),(81,1)}
        62:{3,5,6}:{(43,1),(44,1),(81,1),(82,1),(95,1),(125,1)}
        63:{3,4,7}:{(44,1),(81,1),(83,1)}
        64:{2,4,6}:{(44,1),(45,1),(46,1),(82,1),(83,1),(84,1)}
        65:{1,4,5}:{(45,1),(47,1),(84,1),(85,1),(91,1),(123,1)}
        66:{2,3,7}:{(46,1),(83,1),(86,1)}
        67:{1,3,6}:{(46,1),(47,1),(84,1),(86,1),(87,1),(118,1)}
        68:{2,5}:{(47,1),(48,1),(87,1)}
        69:{2,3}:{(48,1),(50,1)}
        70:{1,2,6}:{(49,1),(52,1),(87,1),(89,1),(90,1)}
        71:{1,3,5}:{(49,1),(50,1),(53,1),(88,1),(90,1),(91,1),(123,1)}
        72:{2,7}:{(51,1),(52,1)}
        73:{2,3,6}:{(52,1),(53,1),(55,1),(90,1),(92,1),(93,1)}
        74:{2,4}:{(53,1),(56,1),(91,1)}
        75:{3,7}:{(54,1),(55,1)}
        76:{3,4,6}:{(55,1),(56,1),(59,1),(93,1),(94,1),(95,1),(125,1)}
        77:{3,6,7}:{(57,1),(58,1),(96,1),(125,1)}
        78:{4,7}:{(58,1),(59,1)}
        79:{4,5}:{(59,1),(95,1)}
        80:{4,6,7}:{(60,1),(61,1),(98,1),(113,1)}
        81:{3,5,7}:{(61,1),(62,1),(63,1),(98,1),(99,1)}
        82:{2,5,6}:{(62,1),(64,1),(99,1),(100,1),(110,1),(135,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1),(99,1),(101,1)}
        84:{1,4,6}:{(64,1),(65,1),(67,1),(100,1),(101,1),(102,1)}
        85:{2,4,5}:{(65,1),(68,1),(102,1),(103,1),(106,1),(133,1),(145,1)}
        86:{1,3,7}:{(66,1),(67,1),(101,1),(104,1),(130,1)}
        87:{2,6}:{(67,1),(68,1),(104,1)}
        88:{2,3,5}:{(68,1),(69,1),(71,1),(103,1),(105,1),(106,1),(133,1)}
        89:{1,2,7}:{(70,1),(72,1),(104,1),(107,1)}
        90:{1,3,6}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4}:{(71,1),(74,1),(106,1)}
        92:{2,3,7}:{(72,1),(73,1),(75,1),(107,1),(109,1)}
        93:{2,4,6}:{(73,1),(74,1),(76,1),(108,1),(109,1),(110,1),(135,1)}
        94:{3,4,7}:{(75,1),(76,1),(78,1),(109,1),(111,1)}
        95:{3,5}:{(76,1),(79,1),(110,1)}
        96:{4,6,7}:{(77,1),(78,1),(112,1),(113,1)}
        97:{4,5,7}:{(78,1),(79,1),(111,1),(112,1),(113,1)}
        98:{3,6,7}:{(80,1),(81,1),(114,1),(125,1)}
        99:{2,5,7}:{(81,1),(82,1),(83,1),(114,1),(115,1)}
       100:{1,5,6}:{(82,1),(84,1),(115,1),(116,1),(123,1),(142,1)}
       101:{1,4,7}:{(83,1),(84,1),(86,1),(115,1),(117,1)}
       102:{2,4,6}:{(84,1),(85,1),(87,1),(116,1),(117,1),(118,1),(138,1)}
       103:{3,5}:{(85,1),(118,1),(119,1)}
       104:{2,7}:{(86,1),(87,1)}
       105:{2,3,6}:{(87,1),(88,1),(90,1),(118,1),(120,1),(121,1)}
       106:{2,4}:{(88,1),(91,1),(119,1)}
       107:{1,3,7}:{(89,1),(90,1),(92,1),(120,1),(122,1)}
       108:{1,4,6}:{(90,1),(91,1),(93,1),(121,1),(122,1),(123,1),(142,1)}
       109:{2,4,7}:{(92,1),(93,1),(94,1),(122,1),(124,1)}
       110:{2,5}:{(93,1),(95,1),(123,1)}
       111:{3,5,7}:{(94,1),(95,1),(97,1),(124,1),(125,1)}
       112:{5,7}:{(96,1),(126,1)}
       113:{4,6}:{(97,1),(125,1),(126,1)}
       114:{2,6,7}:{(98,1),(99,1),(127,1),(135,1)}
       115:{1,5,7}:{(99,1),(100,1),(101,1),(127,1),(128,1)}
       116:{2,5,6}:{(100,1),(102,1),(128,1),(129,1),(133,1),(147,1)}
       117:{2,4,7}:{(101,1),(102,1),(104,1),(128,1),(130,1),(144,1)}
       118:{3,6}:{(102,1),(103,1),(130,1)}
       119:{3,4}:{(103,1),(106,1)}
       120:{2,3,7}:{(104,1),(105,1),(107,1),(130,1),(132,1)}
       121:{2,4,6}:{(105,1),(106,1),(108,1),(131,1),(132,1),(133,1),(147,1)}
       122:{1,4,7}:{(107,1),(108,1),(109,1),(132,1),(134,1)}
       123:{1,5}:{(108,1),(110,1),(133,1)}
       124:{2,5,7}:{(109,1),(110,1),(111,1),(134,1),(135,1)}
       125:{3,6}:{(111,1),(113,1),(135,1)}
       126:{5,6}:{(112,1),(113,1)}
       127:{1,6,7}:{(114,1),(115,1),(136,1),(142,1)}
       128:{2,5,7}:{(115,1),(116,1),(117,1),(136,1),(137,1)}
       129:{3,5,6}:{(116,1),(118,1),(137,1),(138,1),(140,1),(150,1),(153,1)}
       130:{3,7}:{(117,1),(118,1)}
       131:{3,4,6}:{(118,1),(119,1),(121,1),(138,1),(139,1),(140,1),(150,1)}
       132:{2,4,7}:{(120,1),(121,1),(122,1),(139,1),(141,1)}
       133:{2,5}:{(121,1),(123,1),(140,1)}
       134:{1,5,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       135:{2,6}:{(124,1),(125,1),(142,1)}
       136:{2,6,7}:{(127,1),(128,1),(143,1),(147,1)}
       137:{3,5,7}:{(128,1),(129,1),(130,1),(143,1),(144,1),(151,1)}
       138:{4,6}:{(129,1),(144,1),(145,1)}
       139:{3,4,7}:{(130,1),(131,1),(132,1),(144,1),(146,1)}
       140:{3,5}:{(131,1),(133,1),(145,1)}
       141:{2,5,7}:{(132,1),(133,1),(134,1),(146,1),(147,1)}
       142:{1,6}:{(134,1),(135,1),(147,1)}
       143:{3,6,7}:{(136,1),(137,1),(148,1),(150,1)}
       144:{4,7}:{(137,1),(138,1)}
       145:{4,5}:{(138,1),(140,1)}
       146:{3,5,7}:{(139,1),(140,1),(141,1),(149,1),(150,1)}
       147:{2,6}:{(141,1),(142,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1448 :   0:{5,6,7}:{(2,1),(153,1)}
         1:{4,5,6}:{(4,1),(5,1),(145,1),(152,1)}
         2:{4,6,7}:{(0,1),(4,1),(6,1),(152,1)}
         3:{3,4,5}:{(8,1),(9,1),(120,1),(140,1)}
         4:{4,5,7}:{(1,1),(2,1),(10,1)}
         5:{3,5,6}:{(1,1),(8,1),(10,1),(11,1),(140,1),(150,1)}
         6:{3,6,7}:{(2,1),(10,1),(12,1),(150,1)}
         7:{2,3,4}:{(13,1),(14,1),(71,1),(108,1)}
         8:{3,4,6}:{(3,1),(5,1),(15,1),(16,1)}
         9:{2,4,5}:{(3,1),(13,1),(16,1),(17,1),(108,1),(133,1)}
        10:{3,5,7}:{(4,1),(5,1),(6,1),(15,1),(18,1)}
        11:{2,5,6}:{(5,1),(16,1),(18,1),(19,1),(133,1),(147,1)}
        12:{2,6,7}:{(6,1),(18,1),(20,1),(147,1)}
        13:{2,3,5}:{(7,1),(9,1),(22,1),(23,1)}
        14:{1,3,4}:{(7,1),(23,1),(24,1),(52,1),(58,1),(93,1)}
        15:{3,4,7}:{(8,1),(10,1),(25,1)}
        16:{2,4,6}:{(8,1),(9,1),(11,1),(22,1),(25,1),(26,1)}
        17:{1,4,5}:{(9,1),(23,1),(26,1),(27,1),(93,1),(124,1)}
        18:{2,5,7}:{(10,1),(11,1),(12,1),(25,1),(28,1)}
        19:{1,5,6}:{(11,1),(26,1),(28,1),(29,1),(124,1),(142,1)}
        20:{1,6,7}:{(12,1),(28,1),(30,1),(142,1)}
        21:{2,3,4}:{(32,1),(33,1),(38,1),(76,1)}
        22:{2,3,6}:{(13,1),(16,1),(35,1),(36,1)}
        23:{1,3,5}:{(13,1),(14,1),(17,1),(36,1),(37,1),(41,1)}
        24:{2,4}:{(14,1),(37,1),(38,1)}
        25:{2,4,7}:{(15,1),(16,1),(18,1),(35,1),(39,1)}
        26:{1,4,6}:{(16,1),(17,1),(19,1),(36,1),(39,1),(40,1)}
        27:{2,4,5}:{(17,1),(37,1),(40,1),(41,1),(76,1),(80,1),(112,1)}
        28:{1,5,7}:{(18,1),(19,1),(20,1),(39,1),(42,1)}
        29:{2,5,6}:{(19,1),(40,1),(42,1),(43,1),(112,1),(135,1)}
        30:{2,6,7}:{(20,1),(42,1),(44,1),(135,1)}
        31:{3,4,5}:{(46,1),(47,1),(58,1),(97,1)}
        32:{2,3,5}:{(21,1),(47,1),(48,1),(49,1)}
        33:{1,3,4}:{(21,1),(49,1),(50,1),(52,1),(93,1),(120,1)}
        34:{1,2,4}:{(24,1),(50,1),(51,1),(52,1),(93,1)}
        35:{2,3,7}:{(22,1),(25,1),(53,1)}
        36:{1,3,6}:{(22,1),(23,1),(26,1),(53,1),(54,1),(57,1)}
        37:{2,5}:{(23,1),(24,1),(54,1)}
        38:{2,3}:{(24,1),(52,1)}
        39:{1,4,7}:{(25,1),(26,1),(28,1),(53,1),(56,1)}
        40:{2,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1),(57,1),(60,1)}
        41:{3,5}:{(27,1),(57,1),(58,1)}
        42:{2,5,7}:{(28,1),(29,1),(30,1),(56,1),(59,1)}
        43:{3,5,6}:{(29,1),(57,1),(59,1),(60,1),(97,1),(99,1),(126,1)}
        44:{3,6,7}:{(30,1),(59,1),(61,1),(126,1)}
        45:{4,5,6}:{(63,1),(64,1),(80,1),(114,1)}
        46:{3,4,6}:{(31,1),(64,1),(65,1),(66,1)}
        47:{2,4,5}:{(31,1),(32,1),(66,1),(67,1),(76,1),(112,1)}
        48:{2,3,6}:{(32,1),(66,1),(68,1),(69,1)}
        49:{1,3,5}:{(32,1),(33,1),(67,1),(69,1),(70,1),(105,1)}
        50:{2,4}:{(33,1),(70,1),(71,1)}
        51:{1,2,5}:{(34,1),(37,1),(70,1),(72,1),(73,1)}
        52:{1,3}:{(34,1),(38,1),(71,1)}
        53:{1,3,7}:{(35,1),(36,1),(39,1),(74,1),(77,1)}
        54:{2,6}:{(36,1),(37,1),(74,1)}
        55:{2,3,5}:{(37,1),(38,1),(41,1),(73,1),(75,1),(76,1),(112,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1),(74,1),(77,1),(79,1)}
        57:{3,6}:{(40,1),(41,1),(77,1)}
        58:{3,4}:{(41,1),(76,1)}
        59:{3,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1)}
        60:{4,6}:{(43,1),(79,1),(80,1)}
        61:{4,6,7}:{(44,1),(79,1),(81,1),(114,1)}
        62:{5,6,7}:{(82,1),(99,1)}
        63:{4,5,7}:{(45,1),(82,1),(83,1)}
        64:{3,5,6}:{(45,1),(46,1),(83,1),(84,1),(97,1),(126,1)}
        65:{3,4,7}:{(46,1),(83,1),(85,1)}
        66:{2,4,6}:{(46,1),(47,1),(48,1),(84,1),(85,1),(86,1)}
        67:{1,4,5}:{(47,1),(49,1),(86,1),(87,1),(93,1),(124,1)}
        68:{2,3,7}:{(48,1),(85,1),(88,1)}
        69:{1,3,6}:{(48,1),(49,1),(86,1),(88,1),(89,1),(119,1)}
        70:{2,5}:{(49,1),(50,1),(89,1)}
        71:{2,3}:{(50,1),(52,1)}
        72:{1,2,6}:{(51,1),(54,1),(89,1),(91,1),(92,1)}
        73:{1,3,5}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(124,1)}
        74:{2,7}:{(53,1),(54,1)}
        75:{2,3,6}:{(54,1),(55,1),(57,1),(92,1),(94,1),(95,1)}
        76:{2,4}:{(55,1),(58,1),(93,1)}
        77:{3,7}:{(56,1),(57,1)}
        78:{3,4,6}:{(57,1),(58,1),(60,1),(95,1),(96,1),(97,1),(126,1)}
        79:{4,7}:{(59,1),(60,1)}
        80:{4,5}:{(60,1),(97,1)}
        81:{5,7}:{(61,1),(99,1)}
        82:{4,6,7}:{(62,1),(63,1),(100,1),(114,1)}
        83:{3,5,7}:{(63,1),(64,1),(65,1),(100,1),(101,1)}
        84:{2,5,6}:{(64,1),(66,1),(101,1),(102,1),(112,1),(135,1)}
        85:{2,4,7}:{(65,1),(66,1),(68,1),(101,1),(103,1)}
        86:{1,4,6}:{(66,1),(67,1),(69,1),(102,1),(103,1),(104,1)}
        87:{2,4,5}:{(67,1),(70,1),(104,1),(105,1),(108,1),(133,1),(145,1)}
        88:{1,3,7}:{(68,1),(69,1),(103,1),(106,1),(130,1)}
        89:{2,6}:{(69,1),(70,1),(106,1)}
        90:{2,3,5}:{(70,1),(71,1),(73,1),(105,1),(107,1),(108,1),(133,1)}
        91:{1,2,7}:{(72,1),(74,1),(106,1),(109,1)}
        92:{1,3,6}:{(72,1),(73,1),(75,1),(107,1),(109,1),(110,1)}
        93:{1,4}:{(73,1),(76,1),(108,1)}
        94:{2,3,7}:{(74,1),(75,1),(77,1),(109,1),(111,1)}
        95:{2,4,6}:{(75,1),(76,1),(78,1),(110,1),(111,1),(112,1),(135,1)}
        96:{3,4,7}:{(77,1),(78,1),(79,1),(111,1),(113,1)}
        97:{3,5}:{(78,1),(80,1),(112,1)}
        98:{4,5,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{5,6}:{(81,1),(114,1)}
       100:{3,6,7}:{(82,1),(83,1),(115,1),(126,1)}
       101:{2,5,7}:{(83,1),(84,1),(85,1),(115,1),(116,1)}
       102:{1,5,6}:{(84,1),(86,1),(116,1),(117,1),(124,1),(142,1)}
       103:{1,4,7}:{(85,1),(86,1),(88,1),(116,1),(118,1)}
       104:{2,4,6}:{(86,1),(87,1),(89,1),(117,1),(118,1),(119,1),(138,1)}
       105:{3,5}:{(87,1),(119,1),(120,1)}
       106:{2,7}:{(88,1),(89,1)}
       107:{2,3,6}:{(89,1),(90,1),(92,1),(119,1),(121,1),(122,1)}
       108:{2,4}:{(90,1),(93,1),(120,1)}
       109:{1,3,7}:{(91,1),(92,1),(94,1),(121,1),(123,1)}
       110:{1,4,6}:{(92,1),(93,1),(95,1),(122,1),(123,1),(124,1),(142,1)}
       111:{2,4,7}:{(94,1),(95,1),(96,1),(123,1),(125,1)}
       112:{2,5}:{(95,1),(97,1),(124,1)}
       113:{3,5,7}:{(96,1),(97,1),(98,1),(125,1),(126,1)}
       114:{4,6}:{(98,1),(99,1),(126,1)}
       115:{2,6,7}:{(100,1),(101,1),(127,1),(135,1)}
       116:{1,5,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       117:{2,5,6}:{(102,1),(104,1),(128,1),(129,1),(133,1),(147,1)}
       118:{2,4,7}:{(103,1),(104,1),(106,1),(128,1),(130,1),(144,1)}
       119:{3,6}:{(104,1),(105,1),(130,1)}
       120:{3,4}:{(105,1),(108,1)}
       121:{2,3,7}:{(106,1),(107,1),(109,1),(130,1),(132,1)}
       122:{2,4,6}:{(107,1),(108,1),(110,1),(131,1),(132,1),(133,1),(147,1)}
       123:{1,4,7}:{(109,1),(110,1),(111,1),(132,1),(134,1)}
       124:{1,5}:{(110,1),(112,1),(133,1)}
       125:{2,5,7}:{(111,1),(112,1),(113,1),(134,1),(135,1)}
       126:{3,6}:{(113,1),(114,1),(135,1)}
       127:{1,6,7}:{(115,1),(116,1),(136,1),(142,1)}
       128:{2,5,7}:{(116,1),(117,1),(118,1),(136,1),(137,1)}
       129:{3,5,6}:{(117,1),(119,1),(137,1),(138,1),(140,1),(150,1),(153,1)}
       130:{3,7}:{(118,1),(119,1)}
       131:{3,4,6}:{(119,1),(120,1),(122,1),(138,1),(139,1),(140,1),(150,1)}
       132:{2,4,7}:{(121,1),(122,1),(123,1),(139,1),(141,1)}
       133:{2,5}:{(122,1),(124,1),(140,1)}
       134:{1,5,7}:{(123,1),(124,1),(125,1),(141,1),(142,1)}
       135:{2,6}:{(125,1),(126,1),(142,1)}
       136:{2,6,7}:{(127,1),(128,1),(143,1),(147,1)}
       137:{3,5,7}:{(128,1),(129,1),(130,1),(143,1),(144,1),(151,1)}
       138:{4,6}:{(129,1),(144,1),(145,1)}
       139:{3,4,7}:{(130,1),(131,1),(132,1),(144,1),(146,1)}
       140:{3,5}:{(131,1),(133,1),(145,1)}
       141:{2,5,7}:{(132,1),(133,1),(134,1),(146,1),(147,1)}
       142:{1,6}:{(134,1),(135,1),(147,1)}
       143:{3,6,7}:{(136,1),(137,1),(148,1),(150,1)}
       144:{4,7}:{(137,1),(138,1)}
       145:{4,5}:{(138,1),(140,1)}
       146:{3,5,7}:{(139,1),(140,1),(141,1),(149,1),(150,1)}
       147:{2,6}:{(141,1),(142,1),(150,1)}
       148:{4,6,7}:{(143,1),(144,1),(151,1),(152,1)}
       149:{4,5,7}:{(144,1),(145,1),(146,1),(151,1),(152,1)}
       150:{3,6}:{(146,1),(147,1),(152,1)}
       151:{5,7}:{(148,1),(153,1)}
       152:{4,6}:{(149,1),(150,1),(153,1)}
       153:{5,6}:{(151,1),(152,1)}

1449 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,2,3,7}:{(3,1),(10,1)}
        7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
        8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1),(14,1)}
        9:{1,2,5,6}:{(5,1),(13,1),(15,1)}
       10:{1,2,4,7}:{(5,1),(6,1),(14,1),(15,1)}
       11:{1,3,4,5}:{(7,1),(16,1),(17,1)}
       12:{2,3,4,6}:{(7,1),(8,1),(17,1),(18,1),(19,1)}
       13:{1,3,5,6}:{(8,1),(9,1),(18,1),(20,1),(21,1)}
       14:{1,3,4,7}:{(8,1),(10,1),(19,1),(21,1)}
       15:{1,2,5,7}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,2,4,5}:{(11,1),(23,1),(24,1)}
       17:{1,3,4,6}:{(11,1),(12,1),(24,1),(25,1),(26,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       19:{2,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       20:{1,4,5,6}:{(13,1),(27,1),(29,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(15,1),(28,1),(29,1),(30,1)}
       22:{1,2,6,7}:{(15,1),(30,1)}
       23:{1,2,3,5}:{(16,1),(31,1),(32,1)}
       24:{1,2,4,6}:{(16,1),(17,1),(32,1),(33,1),(34,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(33,1),(35,1),(36,1)}
       26:{1,3,4,7}:{(17,1),(19,1),(34,1),(36,1)}
       27:{2,4,5,6}:{(18,1),(20,1),(35,1),(37,1),(38,1)}
       28:{2,3,5,7}:{(18,1),(19,1),(21,1),(36,1),(38,1),(39,1)}
       29:{1,4,5,7}:{(20,1),(21,1),(38,1),(40,1)}
       30:{1,3,6,7}:{(21,1),(22,1),(39,1),(40,1)}
       31:{1,2,3,4}:{(23,1)}
       32:{1,2,3,6}:{(23,1),(24,1),(41,1)}
       33:{1,2,5,6}:{(24,1),(25,1),(42,1)}
       34:{1,2,4,7}:{(24,1),(26,1),(41,1),(42,1)}
       35:{1,4,5,6}:{(25,1),(27,1),(43,1)}
       36:{1,3,5,7}:{(25,1),(26,1),(28,1),(42,1),(43,1),(44,1)}
       37:{3,4,5,6}:{(27,1),(45,1)}
       38:{2,4,5,7}:{(27,1),(28,1),(29,1),(43,1),(45,1),(46,1)}
       39:{2,3,6,7}:{(28,1),(30,1),(44,1),(46,1)}
       40:{1,4,6,7}:{(29,1),(30,1),(46,1),(47,1)}
       41:{1,2,3,7}:{(32,1),(34,1)}
       42:{1,2,5,7}:{(33,1),(34,1),(36,1),(48,1)}
       43:{1,4,5,7}:{(35,1),(36,1),(38,1),(49,1)}
       44:{1,3,6,7}:{(36,1),(39,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(37,1),(38,1),(50,1)}
       46:{2,4,6,7}:{(38,1),(39,1),(40,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(40,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1450 :   0:{1,2,3,5}:{(3,1),(4,1),(5,1),(22,1)}
         1:{1,2,4,5}:{(3,1),(5,1),(6,1),(7,1),(22,1),(56,1)}
         2:{1,3,4,5}:{(5,1),(7,1),(8,1),(56,1),(99,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,6}:{(0,1),(10,1),(11,1),(13,1),(174,1)}
         5:{1,3,5}:{(1,1),(9,1),(12,1),(13,1)}
         6:{1,2,4,6}:{(1,1),(13,1),(14,1),(15,1),(17,1),(43,1)}
         7:{2,4,5}:{(2,1),(12,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(13,1),(17,1),(18,1),(19,1),(43,1),(84,1)}
         9:{1,3,4}:{(3,1),(5,1),(20,1)}
        10:{1,2,4,6}:{(3,1),(4,1),(21,1),(22,1),(23,1),(58,1),(168,1),(173,1)}
        11:{1,2,3,7}:{(4,1),(23,1),(27,1)}
        12:{2,3,5}:{(5,1),(7,1),(20,1),(24,1),(25,1)}
        13:{1,3,6}:{(5,1),(6,1),(25,1),(27,1)}
        14:{1,2,5,6}:{(6,1),(22,1),(26,1),(28,1),(30,1),(58,1),(168,1)}
        15:{1,2,4,7}:{(6,1),(27,1),(28,1),(31,1),(64,1)}
        16:{1,4,5}:{(7,1),(24,1),(29,1)}
        17:{2,4,6}:{(7,1),(8,1),(25,1),(29,1),(30,1),(31,1)}
        18:{1,3,5,6}:{(8,1),(30,1),(32,1),(33,1),(68,1)}
        19:{1,3,4,7}:{(8,1),(27,1),(31,1),(33,1),(64,1),(108,1)}
        20:{2,3,4}:{(9,1),(12,1),(34,1)}
        21:{1,3,4,6}:{(9,1),(10,1),(13,1),(35,1),(36,1),(37,1),(43,1),(79,1),(160,1),(170,1)}
        22:{1,2,5}:{(10,1),(36,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(37,1),(38,1),(172,1)}
        24:{1,3,5}:{(12,1),(16,1),(34,1),(39,1),(40,1)}
        25:{2,3,6}:{(12,1),(13,1),(17,1),(40,1),(42,1)}
        26:{1,3,5,6}:{(13,1),(14,1),(36,1),(41,1),(43,1),(44,1),(79,1),(125,1),(134,1),(160,1)}
        27:{1,3,7}:{(13,1),(15,1),(42,1)}
        28:{1,2,5,7}:{(14,1),(15,1),(44,1),(45,1),(49,1),(172,1)}
        29:{1,4,6}:{(16,1),(17,1),(40,1),(46,1),(47,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(49,1)}
        31:{2,4,7}:{(17,1),(19,1),(42,1),(47,1),(49,1)}
        32:{1,4,5,6}:{(18,1),(43,1),(48,1),(50,1),(125,1),(134,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(49,1),(50,1),(51,1),(91,1)}
        34:{1,3,4}:{(20,1),(24,1),(52,1)}
        35:{2,3,4,6}:{(20,1),(21,1),(25,1),(53,1),(54,1),(55,1),(62,1),(101,1),(146,1),(165,1)}
        36:{1,3,5}:{(21,1),(22,1),(54,1),(56,1)}
        37:{1,3,4,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(64,1),(169,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(57,1),(58,1)}
        39:{1,2,5}:{(24,1),(52,1),(59,1)}
        40:{1,3,6}:{(24,1),(25,1),(29,1),(59,1),(61,1)}
        41:{2,3,5,6}:{(25,1),(26,1),(30,1),(54,1),(60,1),(62,1),(63,1),(68,1),(101,1),(111,1),(145,1),(146,1)}
        42:{2,3,7}:{(25,1),(27,1),(31,1),(61,1)}
        43:{1,4,6}:{(26,1),(56,1),(62,1),(64,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(28,1),(63,1),(64,1),(65,1),(110,1),(152,1),(169,1)}
        45:{1,2,6,7}:{(28,1),(58,1),(65,1),(70,1)}
        46:{1,5,6}:{(29,1),(30,1),(67,1)}
        47:{1,4,7}:{(29,1),(31,1),(61,1),(67,1)}
        48:{2,4,5,6}:{(30,1),(32,1),(62,1),(66,1),(68,1),(69,1),(111,1),(145,1),(167,1)}
        49:{2,5,7}:{(30,1),(31,1),(33,1),(67,1),(70,1)}
        50:{1,4,5,7}:{(32,1),(33,1),(64,1),(69,1),(71,1),(110,1),(152,1)}
        51:{1,3,6,7}:{(33,1),(70,1),(71,1),(114,1)}
        52:{1,2,4}:{(34,1),(39,1),(72,1)}
        53:{1,3,4,6}:{(34,1),(35,1),(40,1),(73,1),(74,1),(75,1),(82,1),(122,1),(126,1),(155,1)}
        54:{2,3,5}:{(35,1),(36,1),(74,1),(76,1)}
        55:{2,3,4,7}:{(35,1),(37,1),(42,1),(75,1),(77,1),(85,1),(161,1)}
        56:{1,4,5}:{(36,1),(43,1),(76,1)}
        57:{1,3,5,7}:{(36,1),(37,1),(38,1),(77,1),(78,1),(79,1)}
        58:{1,2,6}:{(38,1),(79,1)}
        59:{1,2,6}:{(39,1),(40,1),(81,1)}
        60:{1,3,5,6}:{(40,1),(41,1),(46,1),(74,1),(80,1),(82,1),(83,1),(122,1),(126,1),(158,1)}
        61:{1,3,7}:{(40,1),(42,1),(47,1),(81,1)}
        62:{2,4,6}:{(41,1),(43,1),(76,1),(82,1),(84,1),(85,1)}
        63:{2,3,5,7}:{(41,1),(42,1),(44,1),(49,1),(83,1),(85,1),(86,1),(91,1),(133,1),(135,1),(161,1)}
        64:{1,4,7}:{(43,1),(44,1),(85,1)}
        65:{1,3,6,7}:{(44,1),(45,1),(79,1),(86,1),(87,1),(164,1)}
        66:{1,4,5,6}:{(46,1),(48,1),(82,1),(88,1),(89,1),(158,1)}
        67:{1,5,7}:{(46,1),(47,1),(49,1),(90,1)}
        68:{3,5,6}:{(48,1),(84,1),(91,1)}
        69:{2,4,5,7}:{(48,1),(49,1),(50,1),(85,1),(89,1),(91,1),(92,1),(133,1),(135,1),(163,1)}
        70:{2,6,7}:{(49,1),(51,1),(90,1)}
        71:{1,4,6,7}:{(50,1),(51,1),(92,1),(93,1),(164,1)}
        72:{1,2,3}:{(52,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(59,1),(94,1),(95,1),(96,1),(139,1),(141,1)}
        74:{1,3,5}:{(53,1),(54,1),(95,1),(97,1)}
        75:{1,3,4,7}:{(53,1),(55,1),(61,1),(96,1),(98,1),(106,1),(147,1)}
        76:{2,4,5}:{(54,1),(56,1),(62,1),(97,1),(99,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(57,1),(98,1),(100,1),(101,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(64,1),(100,1),(102,1),(110,1)}
        79:{1,3,6}:{(57,1),(58,1),(101,1),(102,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(95,1),(103,1),(104,1),(111,1),(141,1)}
        81:{1,2,7}:{(59,1),(61,1)}
        82:{1,4,6}:{(60,1),(62,1),(97,1),(106,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(104,1),(106,1),(107,1),(147,1),(150,1)}
        84:{3,4,6}:{(62,1),(68,1),(99,1),(108,1)}
        85:{2,4,7}:{(62,1),(63,1),(64,1),(106,1),(108,1)}
        86:{2,3,6,7}:{(63,1),(65,1),(70,1),(101,1),(107,1),(109,1),(114,1),(153,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(102,1),(109,1),(110,1)}
        88:{1,3,5,6}:{(66,1),(68,1),(105,1),(111,1),(112,1)}
        89:{1,4,5,7}:{(66,1),(67,1),(69,1),(106,1),(112,1),(113,1),(150,1)}
        90:{1,6,7}:{(67,1),(70,1)}
        91:{3,5,7}:{(68,1),(69,1),(108,1),(114,1)}
        92:{2,4,6,7}:{(69,1),(70,1),(71,1),(113,1),(114,1),(115,1),(153,1),(154,1)}
        93:{1,5,6,7}:{(71,1),(110,1),(115,1)}
        94:{1,2,3,6}:{(72,1),(73,1),(116,1),(117,1),(126,1)}
        95:{1,2,5}:{(73,1),(74,1)}
        96:{1,2,4,7}:{(73,1),(75,1),(81,1),(117,1),(119,1)}
        97:{1,4,5}:{(74,1),(76,1),(82,1)}
        98:{1,3,5,7}:{(74,1),(75,1),(77,1),(119,1),(121,1),(122,1)}
        99:{3,4,5}:{(76,1),(84,1)}
       100:{2,4,5,7}:{(76,1),(77,1),(78,1),(85,1),(121,1),(123,1),(124,1),(133,1)}
       101:{2,3,6}:{(77,1),(79,1),(122,1),(124,1)}
       102:{1,4,6}:{(78,1),(79,1),(124,1),(125,1)}
       103:{1,2,4,6}:{(80,1),(82,1),(118,1),(126,1),(127,1),(129,1)}
       104:{1,2,5,7}:{(80,1),(81,1),(83,1),(127,1),(128,1),(135,1)}
       105:{1,3,4,6}:{(82,1),(84,1),(88,1),(120,1),(126,1),(129,1),(130,1)}
       106:{1,4,7}:{(82,1),(83,1),(85,1)}
       107:{1,3,6,7}:{(83,1),(86,1),(90,1),(122,1),(128,1),(131,1)}
       108:{3,4,7}:{(84,1),(85,1),(91,1)}
       109:{2,4,6,7}:{(85,1),(86,1),(87,1),(124,1),(131,1),(132,1),(133,1)}
       110:{1,5,7}:{(87,1),(125,1),(133,1)}
       111:{2,5,6}:{(88,1),(129,1),(134,1),(135,1)}
       112:{1,3,5,7}:{(88,1),(89,1),(91,1),(130,1),(135,1),(136,1)}
       113:{1,4,6,7}:{(89,1),(90,1),(92,1),(136,1),(137,1)}
       114:{3,6,7}:{(91,1),(92,1)}
       115:{2,5,6,7}:{(92,1),(93,1),(133,1),(137,1),(138,1)}
       116:{1,2,3,5}:{(94,1),(95,1),(139,1),(140,1)}
       117:{1,2,3,7}:{(94,1),(96,1),(147,1)}
       118:{1,2,4,5}:{(95,1),(97,1),(103,1),(139,1),(140,1),(142,1)}
       119:{1,2,5,7}:{(95,1),(96,1),(98,1),(141,1)}
       120:{1,3,4,5}:{(97,1),(99,1),(105,1),(140,1),(142,1)}
       121:{1,4,5,7}:{(97,1),(98,1),(100,1),(106,1),(143,1),(150,1)}
       122:{1,3,6}:{(98,1),(101,1),(141,1),(143,1)}
       123:{3,4,5,7}:{(99,1),(100,1),(108,1),(144,1),(151,1)}
       124:{2,4,6}:{(100,1),(101,1),(102,1),(143,1),(144,1),(145,1)}
       125:{1,5,6}:{(102,1),(110,1),(145,1)}
       126:{1,3,6}:{(103,1),(140,1),(146,1),(147,1)}
       127:{1,2,4,7}:{(103,1),(104,1),(106,1),(147,1),(149,1)}
       128:{1,2,6,7}:{(104,1),(107,1),(141,1),(153,1)}
       129:{2,4,6}:{(105,1),(111,1),(142,1),(146,1),(148,1),(149,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(108,1),(112,1),(147,1),(149,1)}
       131:{1,4,6,7}:{(106,1),(107,1),(109,1),(143,1),(150,1)}
       132:{3,4,6,7}:{(108,1),(109,1),(114,1),(144,1),(151,1),(154,1)}
       133:{2,5,7}:{(109,1),(110,1),(145,1),(150,1),(151,1)}
       134:{1,5,6}:{(111,1),(148,1),(152,1)}
       135:{2,5,7}:{(111,1),(112,1),(149,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(112,1),(113,1),(114,1),(153,1)}
       137:{1,5,6,7}:{(113,1),(115,1),(150,1)}
       138:{3,5,6,7}:{(114,1),(115,1),(151,1),(154,1)}
       139:{1,2,4}:{(116,1),(155,1)}
       140:{1,3,5}:{(118,1),(126,1),(155,1),(156,1)}
       141:{1,2,6}:{(119,1),(122,1)}
       142:{2,4,5}:{(120,1),(129,1),(156,1),(157,1)}
       143:{1,4,6}:{(121,1),(122,1),(124,1),(158,1)}
       144:{3,4,6}:{(123,1),(124,1),(159,1)}
       145:{2,5,6}:{(124,1),(125,1),(133,1),(158,1),(159,1)}
       146:{2,3,6}:{(126,1),(129,1),(156,1),(160,1),(161,1)}
       147:{1,3,7}:{(126,1),(127,1),(161,1)}
       148:{1,4,6}:{(129,1),(134,1),(157,1),(160,1),(162,1)}
       149:{2,4,7}:{(129,1),(130,1),(135,1),(161,1),(162,1)}
       150:{1,5,7}:{(131,1),(133,1),(158,1)}
       151:{3,5,7}:{(132,1),(133,1),(159,1),(163,1)}
       152:{1,5,7}:{(134,1),(135,1),(162,1),(164,1)}
       153:{2,6,7}:{(135,1),(136,1),(164,1)}
       154:{4,6,7}:{(138,1),(163,1)}
       155:{1,3,4}:{(139,1),(140,1),(165,1)}
       156:{2,3,5}:{(140,1),(142,1),(146,1),(165,1),(166,1)}
       157:{1,4,5}:{(142,1),(148,1),(166,1)}
       158:{1,5,6}:{(143,1),(145,1),(150,1)}
       159:{3,5,6}:{(144,1),(145,1),(151,1),(167,1)}
       160:{1,3,6}:{(146,1),(148,1),(166,1),(168,1),(169,1)}
       161:{2,3,7}:{(146,1),(147,1),(149,1),(169,1)}
       162:{1,4,7}:{(148,1),(149,1),(152,1),(169,1)}
       163:{4,5,7}:{(151,1),(154,1),(167,1)}
       164:{1,6,7}:{(152,1),(153,1)}
       165:{2,3,4}:{(155,1),(156,1),(170,1)}
       166:{1,3,5}:{(156,1),(157,1),(160,1),(170,1),(171,1)}
       167:{4,5,6}:{(159,1),(163,1)}
       168:{1,2,6}:{(160,1),(171,1),(172,1)}
       169:{1,3,7}:{(160,1),(161,1),(162,1),(172,1)}
       170:{1,3,4}:{(165,1),(166,1),(173,1)}
       171:{1,2,5}:{(166,1),(168,1),(173,1)}
       172:{1,2,7}:{(168,1),(169,1)}
       173:{1,2,4}:{(170,1),(171,1),(174,1)}
       174:{1,2,3}:{(173,1)}

1451 :   0:{2,3,4,5}:{(1,1),(2,1),(14,1),(91,1)}
         1:{1,3,4,5}:{(0,1),(5,1),(6,1),(9,1),(26,1),(79,1),(105,1),(109,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(29,1),(71,1)}
         3:{1,2,4,5}:{(5,1),(9,1),(10,1),(11,1),(41,1),(79,1)}
         4:{1,2,3,5}:{(9,1),(11,1),(12,1),(41,1)}
         5:{2,4,5}:{(1,1),(14,1),(15,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(17,1),(21,1),(45,1),(59,1),(88,1),(93,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(19,1)}
         8:{2,3,4,7}:{(2,1),(17,1),(19,1),(50,1),(94,1)}
         9:{1,3,5}:{(3,1),(14,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(15,1),(21,1),(22,1),(23,1),(59,1)}
        11:{1,2,4}:{(4,1),(20,1)}
        12:{1,2,3,6}:{(4,1),(21,1),(24,1),(25,1)}
        13:{1,2,4,5}:{(5,1),(26,1),(27,1),(63,1),(103,1),(105,1)}
        14:{2,3,5}:{(5,1),(9,1),(26,1),(28,1),(29,1)}
        15:{2,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(73,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(31,1),(33,1),(39,1),(67,1),(81,1),(107,1),(112,1)}
        18:{2,4,5,6}:{(7,1),(32,1),(34,1),(35,1),(71,1),(133,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(35,1),(36,1)}
        20:{1,3,4}:{(9,1),(11,1),(28,1)}
        21:{1,3,6}:{(9,1),(10,1),(29,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(30,1),(38,1),(40,1),(41,1),(83,1)}
        23:{1,2,4,7}:{(10,1),(31,1),(39,1),(40,1),(81,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(41,1),(42,1),(83,1)}
        25:{1,2,3,7}:{(12,1),(39,1),(42,1)}
        26:{1,3,5}:{(13,1),(14,1),(44,1),(45,1)}
        27:{1,2,4,6}:{(13,1),(15,1),(45,1),(46,1),(47,1),(88,1)}
        28:{2,3,4}:{(14,1),(20,1),(44,1)}
        29:{2,3,6}:{(14,1),(15,1),(21,1),(45,1),(50,1)}
        30:{2,5,6}:{(15,1),(16,1),(52,1)}
        31:{2,4,7}:{(15,1),(17,1),(50,1),(52,1)}
        32:{1,4,5,6}:{(16,1),(18,1),(51,1),(53,1),(59,1),(88,1),(128,1),(136,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(54,1),(96,1)}
        34:{3,4,5,6}:{(18,1),(55,1),(93,1),(137,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(53,1),(55,1),(56,1),(94,1),(126,1)}
        36:{2,3,6,7}:{(19,1),(54,1),(56,1)}
        37:{1,3,4,6}:{(20,1),(21,1),(24,1),(48,1),(57,1),(58,1),(59,1),(101,1)}
        38:{1,3,5,6}:{(21,1),(22,1),(49,1),(57,1),(59,1),(60,1),(101,1),(128,1)}
        39:{1,3,7}:{(21,1),(23,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(52,1),(60,1),(61,1)}
        41:{1,2,5}:{(24,1),(57,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(58,1),(62,1)}
        43:{1,2,3,5}:{(26,1),(63,1),(64,1),(103,1)}
        44:{1,3,4}:{(26,1),(28,1),(63,1)}
        45:{1,3,6}:{(26,1),(27,1),(29,1),(67,1)}
        46:{1,2,5,6}:{(27,1),(30,1),(66,1),(68,1),(103,1),(129,1)}
        47:{1,2,4,7}:{(27,1),(31,1),(67,1),(68,1),(107,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(37,1),(65,1),(69,1),(70,1),(71,1),(111,1)}
        49:{2,3,5,6}:{(29,1),(30,1),(38,1),(66,1),(69,1),(71,1),(72,1),(73,1),(111,1),(133,1)}
        50:{2,3,7}:{(29,1),(31,1),(39,1),(67,1)}
        51:{2,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(74,1),(133,1),(139,1)}
        52:{2,5,7}:{(30,1),(31,1),(33,1),(75,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(74,1),(76,1),(81,1),(107,1),(118,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(75,1),(76,1),(114,1)}
        55:{3,4,5,7}:{(34,1),(35,1),(77,1),(112,1),(134,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(76,1),(77,1),(78,1)}
        57:{1,3,5}:{(37,1),(41,1),(69,1),(79,1)}
        58:{1,3,4,7}:{(37,1),(39,1),(42,1),(70,1),(80,1),(81,1)}
        59:{1,4,6}:{(38,1),(71,1),(79,1),(81,1)}
        60:{1,3,5,7}:{(38,1),(39,1),(40,1),(72,1),(81,1),(82,1),(118,1)}
        61:{1,2,6,7}:{(40,1),(75,1),(82,1),(83,1)}
        62:{1,2,5,7}:{(41,1),(42,1),(80,1),(83,1)}
        63:{1,2,4}:{(43,1),(44,1)}
        64:{1,2,3,6}:{(43,1),(45,1),(84,1),(85,1)}
        65:{1,3,4,6}:{(44,1),(45,1),(48,1),(84,1),(86,1),(87,1),(88,1),(121,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(49,1),(86,1),(88,1),(89,1),(121,1),(136,1)}
        67:{1,3,7}:{(45,1),(47,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(52,1),(89,1),(90,1)}
        69:{2,3,5}:{(48,1),(57,1),(86,1),(91,1)}
        70:{2,3,4,7}:{(48,1),(50,1),(58,1),(87,1),(92,1),(94,1)}
        71:{2,4,6}:{(49,1),(59,1),(88,1),(91,1),(93,1),(94,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(60,1),(89,1),(94,1),(95,1),(96,1),(126,1)}
        73:{3,5,6}:{(51,1),(93,1),(96,1)}
        74:{2,4,5,7}:{(51,1),(52,1),(53,1),(94,1),(96,1),(97,1),(126,1),(138,1)}
        75:{2,6,7}:{(52,1),(54,1)}
        76:{1,4,6,7}:{(53,1),(54,1),(56,1),(97,1),(98,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(99,1)}
        78:{2,5,6,7}:{(56,1),(98,1),(99,1),(126,1)}
        79:{1,4,5}:{(57,1),(59,1),(91,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(62,1),(92,1),(100,1),(101,1)}
        81:{1,4,7}:{(59,1),(60,1),(94,1)}
        82:{1,3,6,7}:{(60,1),(61,1),(95,1),(101,1),(102,1)}
        83:{1,2,6}:{(62,1),(101,1)}
        84:{1,2,4,6}:{(63,1),(64,1),(65,1),(103,1),(104,1),(129,1)}
        85:{1,2,3,7}:{(64,1),(67,1),(104,1)}
        86:{1,3,5}:{(65,1),(69,1),(103,1),(105,1)}
        87:{1,3,4,7}:{(65,1),(67,1),(70,1),(104,1),(106,1),(107,1)}
        88:{1,4,6}:{(66,1),(71,1),(105,1),(107,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(107,1),(108,1),(131,1)}
        90:{1,2,6,7}:{(68,1),(75,1),(108,1),(129,1)}
        91:{2,4,5}:{(69,1),(71,1),(79,1),(105,1),(109,1)}
        92:{2,3,5,7}:{(69,1),(70,1),(80,1),(106,1),(110,1),(111,1)}
        93:{3,4,6}:{(71,1),(73,1),(109,1),(112,1)}
        94:{2,4,7}:{(71,1),(72,1),(81,1),(107,1),(112,1)}
        95:{2,3,6,7}:{(72,1),(75,1),(82,1),(108,1),(111,1),(113,1),(114,1)}
        96:{3,5,7}:{(73,1),(74,1),(112,1),(114,1)}
        97:{2,4,6,7}:{(74,1),(75,1),(76,1),(114,1),(115,1),(135,1)}
        98:{1,5,6,7}:{(76,1),(78,1),(115,1),(118,1),(131,1)}
        99:{3,5,6,7}:{(77,1),(78,1),(116,1),(134,1)}
       100:{1,4,5,7}:{(79,1),(80,1),(81,1),(110,1),(117,1),(118,1)}
       101:{1,3,6}:{(80,1),(83,1),(111,1),(117,1)}
       102:{1,4,6,7}:{(81,1),(82,1),(113,1),(117,1),(118,1)}
       103:{1,2,5}:{(84,1),(86,1)}
       104:{1,2,4,7}:{(84,1),(85,1),(87,1),(119,1)}
       105:{1,4,5}:{(86,1),(88,1),(91,1)}
       106:{1,3,5,7}:{(86,1),(87,1),(92,1),(119,1),(120,1),(121,1)}
       107:{1,4,7}:{(88,1),(89,1),(94,1)}
       108:{1,3,6,7}:{(89,1),(90,1),(95,1),(121,1),(122,1)}
       109:{3,4,5}:{(91,1),(93,1)}
       110:{2,4,5,7}:{(91,1),(92,1),(94,1),(100,1),(120,1),(123,1),(124,1),(126,1)}
       111:{2,3,6}:{(92,1),(101,1),(121,1),(124,1)}
       112:{3,4,7}:{(93,1),(94,1),(96,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(102,1),(122,1),(124,1),(125,1),(126,1)}
       114:{3,6,7}:{(96,1),(97,1)}
       115:{2,5,6,7}:{(97,1),(98,1),(126,1),(127,1)}
       116:{4,5,6,7}:{(99,1),(138,1)}
       117:{1,4,6}:{(100,1),(101,1),(124,1),(128,1)}
       118:{1,5,7}:{(102,1),(126,1),(128,1)}
       119:{1,2,5,7}:{(103,1),(104,1),(106,1),(129,1)}
       120:{1,4,5,7}:{(105,1),(106,1),(107,1),(110,1),(130,1),(131,1)}
       121:{1,3,6}:{(106,1),(111,1),(129,1),(130,1)}
       122:{1,4,6,7}:{(107,1),(108,1),(113,1),(130,1),(131,1)}
       123:{3,4,5,7}:{(109,1),(110,1),(112,1),(132,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(112,1),(113,1),(114,1),(132,1),(134,1),(135,1)}
       126:{2,5,7}:{(113,1),(118,1),(131,1),(133,1),(134,1)}
       127:{3,5,6,7}:{(114,1),(115,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(133,1)}
       129:{1,2,6}:{(119,1),(121,1)}
       130:{1,4,6}:{(120,1),(121,1),(124,1),(136,1)}
       131:{1,5,7}:{(122,1),(126,1),(136,1)}
       132:{3,4,6}:{(123,1),(124,1),(137,1)}
       133:{2,5,6}:{(124,1),(126,1),(128,1),(136,1),(137,1)}
       134:{3,5,7}:{(125,1),(126,1),(137,1),(138,1)}
       135:{4,6,7}:{(127,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(133,1)}
       137:{3,5,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{4,5,7}:{(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1452 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(15,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(29,1),(33,1),(60,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(60,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(37,1),(60,1),(64,1),(89,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(15,1),(17,1),(22,1),(44,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(75,1),(115,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(20,1),(44,1),(116,1),(118,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(14,1),(21,1),(22,1),(48,1),(51,1),(75,1)}
        13:{1,3,4,6}:{(6,1),(15,1),(22,1),(24,1),(44,1),(76,1)}
        14:{2,3,5,7}:{(7,1),(9,1),(12,1),(25,1),(26,1),(32,1)}
        15:{1,3,6}:{(7,1),(8,1),(26,1)}
        16:{1,2,4,6,7}:{(8,1),(27,1),(29,1),(35,1),(60,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(28,1),(29,1),(36,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(25,1),(30,1),(31,1),(87,1),(107,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(26,1),(31,1),(32,1),(59,1),(108,1),(111,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(25,1),(34,1),(63,1),(65,1),(87,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(34,1),(36,1)}
        23:{1,3,4,6,7}:{(13,1),(27,1),(35,1),(37,1),(60,1),(70,1),(89,1),(96,1)}
        24:{1,3,5,6}:{(13,1),(36,1),(37,1),(38,1),(69,1)}
        25:{1,3,5,7}:{(14,1),(18,1),(21,1),(39,1),(40,1),(47,1)}
        26:{2,3,6}:{(14,1),(15,1),(22,1),(40,1)}
        27:{1,3,6,7}:{(15,1),(16,1),(41,1),(43,1),(120,1)}
        28:{1,3,5,6}:{(15,1),(17,1),(20,1),(42,1),(43,1),(44,1),(106,1),(116,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(43,1),(51,1),(124,1)}
        30:{1,2,4,7}:{(18,1),(39,1),(45,1),(46,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(40,1),(46,1),(47,1),(74,1),(98,1),(101,1)}
        32:{2,3,5}:{(19,1),(20,1),(47,1),(48,1)}
        33:{1,4,5}:{(20,1),(44,1),(48,1)}
        34:{1,4,6}:{(21,1),(22,1),(40,1),(50,1)}
        35:{2,4,6,7}:{(22,1),(23,1),(41,1),(49,1),(51,1),(75,1)}
        36:{2,5,6}:{(22,1),(24,1),(50,1),(51,1)}
        37:{1,3,5,7}:{(23,1),(24,1),(51,1),(54,1),(84,1)}
        38:{1,4,5,6}:{(24,1),(44,1),(52,1),(54,1),(106,1)}
        39:{1,2,5,7}:{(25,1),(30,1),(55,1),(62,1)}
        40:{1,3,6}:{(25,1),(26,1),(34,1),(55,1)}
        41:{2,3,6,7}:{(26,1),(27,1),(35,1),(56,1),(58,1),(96,1),(113,1)}
        42:{2,3,5,6}:{(26,1),(28,1),(32,1),(36,1),(57,1),(58,1),(59,1),(69,1),(95,1),(108,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(29,1),(58,1),(60,1),(114,1),(121,1)}
        44:{1,4,6}:{(28,1),(33,1),(59,1),(60,1)}
        45:{1,2,3,7}:{(30,1),(61,1),(107,1)}
        46:{1,2,4,6}:{(30,1),(31,1),(55,1),(61,1),(62,1),(90,1)}
        47:{1,3,5}:{(31,1),(32,1),(62,1),(63,1)}
        48:{2,4,5}:{(32,1),(33,1),(59,1),(63,1),(64,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(56,1),(65,1),(87,1)}
        50:{1,5,6}:{(34,1),(36,1),(65,1)}
        51:{2,5,7}:{(35,1),(36,1),(37,1),(65,1)}
        52:{2,4,5,6}:{(36,1),(38,1),(59,1),(66,1),(68,1),(69,1),(95,1)}
        53:{1,3,5,6,7}:{(37,1),(67,1),(70,1),(96,1)}
        54:{1,4,5,7}:{(37,1),(38,1),(60,1),(68,1),(70,1),(114,1)}
        55:{1,2,6}:{(39,1),(40,1)}
        56:{1,3,6,7}:{(40,1),(41,1),(49,1),(71,1),(73,1)}
        57:{1,3,5,6}:{(40,1),(42,1),(47,1),(50,1),(72,1),(73,1),(74,1),(98,1)}
        58:{2,3,5,7}:{(41,1),(42,1),(43,1),(51,1),(73,1),(75,1),(84,1),(105,1),(115,1)}
        59:{2,4,6}:{(42,1),(44,1),(48,1),(74,1),(75,1),(76,1)}
        60:{1,4,7}:{(43,1),(44,1),(75,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(77,1),(98,1)}
        62:{1,2,5}:{(46,1),(47,1)}
        63:{1,4,5}:{(47,1),(48,1),(74,1)}
        64:{3,4,5}:{(48,1),(76,1)}
        65:{1,5,7}:{(49,1),(50,1),(51,1)}
        66:{1,4,5,6}:{(50,1),(52,1),(74,1),(81,1),(82,1)}
        67:{2,5,6,7}:{(51,1),(53,1),(80,1),(83,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(75,1),(81,1),(83,1),(84,1),(105,1)}
        69:{3,5,6}:{(52,1),(76,1),(84,1)}
        70:{1,4,6,7}:{(53,1),(54,1),(83,1),(120,1)}
        71:{1,2,6,7}:{(55,1),(56,1),(85,1),(113,1)}
        72:{1,2,5,6}:{(55,1),(57,1),(62,1),(85,1),(86,1),(95,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(58,1),(65,1),(85,1),(87,1),(107,1)}
        74:{1,4,6}:{(57,1),(59,1),(63,1),(87,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(87,1),(89,1)}
        76:{3,4,6}:{(59,1),(64,1),(69,1),(89,1)}
        77:{1,2,3,5}:{(61,1),(62,1),(90,1),(91,1)}
        78:{1,2,4,5}:{(62,1),(63,1),(86,1),(90,1),(91,1),(92,1)}
        79:{1,3,4,5}:{(63,1),(64,1),(88,1),(91,1),(92,1)}
        80:{1,5,6,7}:{(65,1),(67,1),(93,1)}
        81:{1,4,5,7}:{(65,1),(66,1),(68,1),(87,1),(93,1),(94,1)}
        82:{1,3,5,6}:{(66,1),(69,1),(88,1),(94,1),(95,1)}
        83:{2,4,6,7}:{(67,1),(68,1),(70,1),(93,1),(96,1),(113,1)}
        84:{3,5,7}:{(68,1),(69,1),(89,1),(96,1)}
        85:{1,2,5,7}:{(71,1),(72,1),(73,1),(97,1),(105,1)}
        86:{1,2,4,6}:{(72,1),(74,1),(78,1),(97,1),(98,1),(100,1)}
        87:{1,4,7}:{(73,1),(74,1),(75,1)}
        88:{1,3,4,6}:{(74,1),(76,1),(79,1),(82,1),(98,1),(99,1),(100,1)}
        89:{3,4,7}:{(75,1),(76,1),(84,1)}
        90:{1,2,4}:{(77,1),(101,1)}
        91:{1,3,5}:{(78,1),(98,1),(101,1),(102,1)}
        92:{2,4,5}:{(79,1),(100,1),(102,1),(103,1)}
        93:{1,4,6,7}:{(80,1),(81,1),(83,1),(104,1)}
        94:{1,3,5,7}:{(81,1),(82,1),(84,1),(99,1),(104,1),(105,1)}
        95:{2,5,6}:{(82,1),(100,1),(105,1),(106,1)}
        96:{3,6,7}:{(83,1),(84,1)}
        97:{1,2,4,7}:{(85,1),(86,1),(87,1),(107,1),(109,1)}
        98:{1,3,6}:{(86,1),(91,1),(107,1),(108,1)}
        99:{1,3,4,7}:{(87,1),(88,1),(89,1),(94,1),(107,1),(109,1)}
       100:{2,4,6}:{(88,1),(92,1),(95,1),(108,1),(109,1),(110,1)}
       101:{1,3,4}:{(90,1),(91,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(108,1),(111,1),(112,1)}
       103:{1,4,5}:{(92,1),(110,1),(112,1)}
       104:{1,3,6,7}:{(93,1),(94,1),(96,1),(113,1)}
       105:{2,5,7}:{(94,1),(95,1),(109,1),(113,1),(114,1)}
       106:{1,5,6}:{(95,1),(110,1),(114,1)}
       107:{1,3,7}:{(97,1),(98,1),(115,1)}
       108:{2,3,6}:{(98,1),(100,1),(102,1),(115,1),(116,1)}
       109:{2,4,7}:{(99,1),(100,1),(105,1),(115,1),(117,1)}
       110:{1,4,6}:{(100,1),(103,1),(106,1),(116,1),(117,1)}
       111:{2,3,4}:{(101,1),(102,1),(118,1)}
       112:{1,3,5}:{(102,1),(103,1),(116,1),(118,1),(119,1)}
       113:{2,6,7}:{(104,1),(105,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(117,1),(120,1)}
       115:{2,3,7}:{(107,1),(108,1),(109,1),(121,1)}
       116:{1,3,6}:{(108,1),(110,1),(112,1),(121,1),(122,1)}
       117:{1,4,7}:{(109,1),(110,1),(114,1),(121,1)}
       118:{1,3,4}:{(111,1),(112,1),(123,1)}
       119:{1,2,5}:{(112,1),(122,1),(123,1)}
       120:{1,6,7}:{(113,1),(114,1)}
       121:{1,3,7}:{(115,1),(116,1),(117,1),(124,1)}
       122:{1,2,6}:{(116,1),(119,1),(124,1)}
       123:{1,2,4}:{(118,1),(119,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

1453 :   0:{1,2,4,6}:{(3,1),(4,1),(5,1),(6,1),(29,1),(31,1),(70,1)}
         1:{1,3,4,6}:{(3,1),(6,1),(7,1),(8,1),(10,1),(29,1),(37,1),(40,1),(67,1),(70,1),(106,1)}
         2:{1,3,5,6}:{(7,1),(9,1),(10,1),(11,1),(37,1),(40,1),(76,1),(112,1)}
         3:{1,3,6}:{(0,1),(12,1),(13,1),(14,1),(95,1)}
         4:{1,2,5}:{(0,1),(13,1),(17,1),(89,1),(145,1)}
         5:{1,2,4,7}:{(0,1),(14,1),(15,1),(18,1),(49,1),(178,1)}
         6:{2,4,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(47,1),(55,1)}
         7:{1,3,5}:{(1,1),(17,1),(19,1),(53,1),(89,1),(124,1)}
         8:{1,3,4,7}:{(1,1),(14,1),(18,1),(20,1),(24,1),(49,1),(60,1),(87,1),(179,1)}
         9:{2,5,6}:{(2,1),(17,1),(21,1),(22,1),(23,1),(55,1)}
        10:{1,4,6}:{(2,1),(19,1),(22,1),(24,1),(95,1),(128,1)}
        11:{1,3,5,7}:{(2,1),(23,1),(24,1),(25,1),(60,1),(62,1),(99,1)}
        12:{2,3,6}:{(3,1),(6,1),(26,1),(27,1),(28,1),(40,1),(77,1)}
        13:{1,3,5}:{(3,1),(4,1),(27,1),(29,1),(108,1),(132,1)}
        14:{1,3,7}:{(3,1),(5,1),(28,1),(113,1),(182,1)}
        15:{1,2,5,7}:{(4,1),(5,1),(30,1),(31,1),(35,1),(156,1),(172,1)}
        16:{1,4,6}:{(6,1),(26,1),(32,1),(33,1),(65,1),(73,1)}
        17:{2,5}:{(6,1),(7,1),(32,1)}
        18:{2,4,7}:{(6,1),(8,1),(28,1),(33,1),(35,1),(183,1)}
        19:{1,4,5}:{(7,1),(10,1),(29,1),(34,1),(108,1),(139,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(35,1),(36,1),(37,1),(74,1),(164,1),(175,1)}
        21:{1,5,6}:{(9,1),(32,1),(38,1),(39,1),(73,1)}
        22:{2,4,6}:{(9,1),(10,1),(34,1),(38,1),(40,1),(41,1),(77,1)}
        23:{2,5,7}:{(9,1),(11,1),(39,1),(41,1),(42,1)}
        24:{1,4,7}:{(10,1),(11,1),(41,1),(113,1),(116,1)}
        25:{1,3,6,7}:{(11,1),(37,1),(42,1),(43,1),(80,1),(164,1)}
        26:{1,3,6}:{(12,1),(16,1),(44,1),(45,1),(46,1)}
        27:{2,3,5}:{(12,1),(13,1),(17,1),(45,1),(47,1),(53,1),(90,1),(117,1)}
        28:{2,3,7}:{(12,1),(14,1),(18,1),(46,1),(60,1),(96,1),(185,1)}
        29:{1,4}:{(13,1),(47,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1),(89,1),(125,1),(146,1),(166,1)}
        31:{1,2,6}:{(15,1),(50,1),(55,1)}
        32:{1,5}:{(16,1),(17,1)}
        33:{1,4,7}:{(16,1),(18,1),(46,1),(52,1),(186,1)}
        34:{2,4,5}:{(17,1),(19,1),(22,1),(47,1),(51,1),(53,1),(90,1)}
        35:{2,5,7}:{(17,1),(18,1),(20,1),(52,1),(55,1),(171,1),(180,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(24,1),(49,1),(54,1),(56,1),(62,1),(89,1),(125,1),(154,1),(168,1)}
        37:{1,3,6}:{(20,1),(55,1),(56,1),(93,1)}
        38:{1,4,6}:{(21,1),(22,1),(51,1),(57,1),(58,1)}
        39:{1,5,7}:{(21,1),(23,1),(58,1),(59,1)}
        40:{3,6}:{(22,1),(53,1),(60,1)}
        41:{2,4,7}:{(22,1),(23,1),(24,1),(58,1),(60,1),(96,1)}
        42:{2,6,7}:{(23,1),(25,1),(55,1),(59,1),(171,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(56,1),(61,1),(62,1),(129,1),(154,1)}
        44:{1,2,6}:{(26,1),(63,1),(64,1),(77,1)}
        45:{1,3,5}:{(26,1),(27,1),(32,1),(63,1),(65,1),(100,1)}
        46:{1,3,7}:{(26,1),(28,1),(33,1),(64,1),(187,1)}
        47:{2,4}:{(27,1),(29,1),(65,1),(67,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(30,1),(35,1),(66,1),(68,1),(69,1),(74,1),(107,1),(109,1),(133,1),(158,1)}
        49:{1,4,7}:{(29,1),(30,1),(68,1),(70,1),(173,1)}
        50:{1,3,6}:{(30,1),(31,1),(69,1),(70,1),(140,1)}
        51:{1,4,5}:{(32,1),(34,1),(38,1),(65,1),(71,1)}
        52:{1,5,7}:{(32,1),(33,1),(35,1),(73,1),(177,1),(184,1)}
        53:{3,5}:{(34,1),(40,1),(67,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(36,1),(41,1),(68,1),(72,1),(74,1),(75,1),(81,1),(107,1),(109,1),(116,1),(139,1),(144,1),(161,1)}
        55:{2,6}:{(35,1),(37,1),(73,1)}
        56:{1,4,6}:{(36,1),(37,1),(75,1),(76,1),(140,1)}
        57:{1,3,6}:{(38,1),(40,1),(71,1),(77,1),(78,1)}
        58:{1,4,7}:{(38,1),(39,1),(41,1),(78,1)}
        59:{1,6,7}:{(39,1),(42,1),(73,1),(177,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{2,4,6,7}:{(41,1),(42,1),(43,1),(75,1),(79,1),(80,1),(81,1),(114,1),(116,1),(144,1)}
        62:{1,5,7}:{(43,1),(76,1),(81,1)}
        63:{1,2,5}:{(44,1),(45,1),(82,1),(90,1)}
        64:{1,2,7}:{(44,1),(46,1),(96,1),(188,1)}
        65:{1,4}:{(45,1),(47,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(48,1),(52,1),(83,1),(85,1),(86,1),(118,1),(123,1),(148,1)}
        67:{3,4}:{(47,1),(53,1)}
        68:{2,4,7}:{(47,1),(48,1),(49,1),(85,1),(87,1),(88,1),(167,1)}
        69:{2,3,6}:{(48,1),(50,1),(55,1),(86,1),(88,1),(93,1),(126,1)}
        70:{1,4,6}:{(49,1),(50,1),(88,1),(89,1)}
        71:{1,3,5}:{(51,1),(53,1),(57,1),(84,1),(90,1)}
        72:{1,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(91,1),(92,1),(98,1),(123,1),(131,1),(151,1)}
        73:{1,6}:{(52,1),(55,1)}
        74:{3,5,7}:{(53,1),(54,1),(60,1),(87,1),(93,1),(124,1),(155,1),(169,1)}
        75:{2,4,6}:{(54,1),(55,1),(56,1),(92,1),(93,1),(94,1),(126,1),(128,1)}
        76:{1,5,6}:{(56,1),(62,1),(89,1),(94,1)}
        77:{2,6}:{(57,1),(90,1),(95,1),(96,1)}
        78:{1,3,7}:{(57,1),(58,1),(60,1),(96,1)}
        79:{1,4,6,7}:{(58,1),(59,1),(61,1),(92,1),(97,1),(98,1),(131,1)}
        80:{3,6,7}:{(60,1),(61,1),(93,1),(99,1),(155,1)}
        81:{2,5,7}:{(61,1),(62,1),(94,1),(98,1),(99,1)}
        82:{1,2,4}:{(63,1),(65,1),(100,1),(103,1)}
        83:{1,2,5,7}:{(63,1),(64,1),(66,1),(101,1),(102,1),(109,1),(135,1)}
        84:{1,3,4}:{(65,1),(67,1),(71,1),(100,1),(103,1)}
        85:{1,4,7}:{(65,1),(66,1),(68,1),(105,1),(159,1)}
        86:{1,3,6}:{(66,1),(69,1),(73,1),(102,1),(105,1)}
        87:{3,4,7}:{(67,1),(68,1),(74,1),(106,1),(116,1),(174,1)}
        88:{2,4,6}:{(68,1),(69,1),(70,1),(105,1),(106,1),(107,1)}
        89:{1,5}:{(70,1),(107,1)}
        90:{2,5}:{(71,1),(77,1),(103,1),(108,1)}
        91:{1,3,5,7}:{(71,1),(72,1),(74,1),(78,1),(104,1),(109,1),(110,1),(138,1)}
        92:{1,4,6}:{(72,1),(73,1),(75,1),(110,1),(111,1)}
        93:{3,6}:{(74,1),(75,1)}
        94:{2,5,6}:{(75,1),(76,1),(81,1),(107,1),(111,1),(112,1)}
        95:{1,6}:{(77,1),(108,1),(113,1)}
        96:{2,7}:{(77,1),(78,1),(113,1)}
        97:{1,3,6,7}:{(78,1),(79,1),(80,1),(110,1),(114,1),(115,1)}
        98:{1,5,7}:{(79,1),(81,1),(111,1)}
        99:{3,5,7}:{(80,1),(81,1),(112,1),(116,1)}
       100:{1,3}:{(82,1),(117,1)}
       101:{1,2,4,7}:{(82,1),(83,1),(85,1),(118,1),(119,1),(121,1)}
       102:{1,2,6}:{(83,1),(86,1),(126,1)}
       103:{2,4}:{(84,1),(90,1),(117,1),(120,1)}
       104:{1,3,4,7}:{(84,1),(85,1),(87,1),(91,1),(118,1),(121,1),(122,1),(131,1),(155,1)}
       105:{1,4,6}:{(85,1),(86,1),(88,1),(123,1)}
       106:{3,4,6}:{(87,1),(88,1),(93,1),(124,1),(128,1)}
       107:{2,5}:{(88,1),(89,1),(123,1),(124,1)}
       108:{1,5}:{(90,1),(95,1),(120,1)}
       109:{2,5,7}:{(90,1),(91,1),(96,1),(121,1),(125,1),(126,1),(150,1)}
       110:{1,3,6}:{(91,1),(92,1),(93,1),(126,1)}
       111:{1,5,6}:{(92,1),(94,1),(98,1),(123,1)}
       112:{3,5,6}:{(93,1),(94,1),(99,1),(124,1),(128,1)}
       113:{1,7}:{(95,1),(96,1)}
       114:{2,6,7}:{(96,1),(97,1),(126,1),(129,1),(130,1)}
       115:{1,3,5,7}:{(97,1),(98,1),(99,1),(127,1),(130,1),(131,1),(155,1)}
       116:{4,7}:{(99,1),(128,1)}
       117:{2,3}:{(100,1),(103,1),(132,1)}
       118:{1,3,7}:{(100,1),(101,1),(133,1),(134,1),(177,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(105,1),(134,1),(135,1),(137,1),(159,1)}
       120:{1,4}:{(103,1),(108,1),(132,1)}
       121:{2,4,7}:{(103,1),(104,1),(109,1),(133,1),(136,1),(137,1)}
       122:{1,3,4,6}:{(104,1),(105,1),(106,1),(110,1),(134,1),(137,1),(138,1),(142,1),(159,1),(163,1),(174,1)}
       123:{1,5}:{(105,1),(107,1)}
       124:{3,5}:{(106,1),(107,1),(139,1)}
       125:{1,5,7}:{(108,1),(109,1),(113,1),(136,1),(140,1),(160,1)}
       126:{2,6}:{(109,1),(110,1),(140,1)}
       127:{1,3,5,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(141,1),(142,1),(163,1)}
       128:{4,6}:{(112,1),(116,1),(139,1)}
       129:{1,6,7}:{(113,1),(114,1),(140,1),(143,1)}
       130:{2,5,7}:{(114,1),(115,1),(141,1),(143,1),(144,1)}
       131:{1,4,7}:{(115,1),(116,1),(142,1),(144,1),(177,1)}
       132:{1,3}:{(117,1),(120,1),(145,1)}
       133:{2,3,7}:{(117,1),(118,1),(121,1),(146,1),(147,1),(155,1),(171,1)}
       134:{1,3,6}:{(118,1),(119,1),(147,1),(148,1),(181,1)}
       135:{1,2,5}:{(119,1),(123,1),(148,1),(150,1),(188,1)}
       136:{1,4,7}:{(120,1),(121,1),(125,1),(146,1),(149,1)}
       137:{2,4,6}:{(121,1),(122,1),(126,1),(147,1),(149,1),(150,1),(167,1)}
       138:{1,3,5}:{(122,1),(123,1),(124,1),(150,1),(151,1),(169,1)}
       139:{4,5}:{(124,1),(128,1)}
       140:{1,6}:{(125,1),(126,1)}
       141:{2,5,6}:{(126,1),(127,1),(130,1),(150,1),(152,1),(153,1)}
       142:{1,4,6}:{(127,1),(128,1),(131,1),(151,1),(153,1),(181,1)}
       143:{1,5,7}:{(129,1),(130,1),(152,1),(154,1)}
       144:{2,4,7}:{(130,1),(131,1),(153,1),(154,1),(155,1),(171,1)}
       145:{1,2}:{(132,1)}
       146:{1,3,7}:{(132,1),(133,1),(136,1),(156,1),(157,1)}
       147:{2,3,6}:{(133,1),(134,1),(137,1),(157,1),(158,1),(163,1),(176,1)}
       148:{1,3,5}:{(134,1),(135,1),(158,1),(159,1),(184,1),(187,1)}
       149:{1,4,6}:{(136,1),(137,1),(140,1),(157,1),(160,1),(173,1)}
       150:{2,5}:{(137,1),(138,1),(160,1)}
       151:{1,4,5}:{(138,1),(139,1),(142,1),(159,1),(161,1),(184,1)}
       152:{1,5,6}:{(140,1),(141,1),(143,1),(160,1),(162,1)}
       153:{2,4,6}:{(141,1),(142,1),(144,1),(161,1),(162,1),(163,1),(176,1)}
       154:{1,4,7}:{(143,1),(144,1),(162,1),(164,1)}
       155:{3,7}:{(144,1),(163,1)}
       156:{1,2,7}:{(145,1),(146,1),(165,1),(171,1)}
       157:{1,3,6}:{(146,1),(147,1),(149,1),(165,1),(166,1)}
       158:{2,3,5}:{(147,1),(148,1),(150,1),(166,1),(167,1),(169,1),(180,1),(185,1)}
       159:{1,4}:{(148,1),(167,1)}
       160:{1,5}:{(149,1),(150,1)}
       161:{2,4,5}:{(150,1),(151,1),(153,1),(167,1),(168,1),(169,1),(180,1)}
       162:{1,4,6}:{(152,1),(153,1),(154,1),(168,1),(170,1)}
       163:{3,6}:{(153,1),(155,1),(169,1)}
       164:{1,3,7}:{(154,1),(155,1),(170,1),(171,1)}
       165:{1,2,6}:{(156,1),(157,1),(172,1),(176,1)}
       166:{1,3,5}:{(157,1),(158,1),(160,1),(172,1),(173,1),(182,1)}
       167:{2,4}:{(158,1),(159,1),(173,1),(174,1)}
       168:{1,4,5}:{(160,1),(161,1),(162,1),(173,1),(175,1)}
       169:{3,5}:{(161,1),(163,1),(174,1)}
       170:{1,3,6}:{(162,1),(163,1),(164,1),(175,1),(176,1)}
       171:{2,7}:{(164,1),(176,1),(177,1)}
       172:{1,2,5}:{(165,1),(166,1),(178,1),(180,1)}
       173:{1,4}:{(166,1),(167,1)}
       174:{3,4}:{(167,1),(169,1)}
       175:{1,3,5}:{(168,1),(169,1),(170,1),(179,1),(180,1)}
       176:{2,6}:{(170,1),(171,1),(180,1),(181,1)}
       177:{1,7}:{(171,1),(181,1)}
       178:{1,2,4}:{(172,1),(173,1),(182,1),(183,1)}
       179:{1,3,4}:{(173,1),(174,1),(175,1),(182,1),(183,1)}
       180:{2,5}:{(175,1),(176,1),(183,1),(184,1)}
       181:{1,6}:{(176,1),(177,1),(184,1)}
       182:{1,3}:{(178,1),(185,1)}
       183:{2,4}:{(179,1),(180,1),(185,1),(186,1)}
       184:{1,5}:{(180,1),(181,1),(186,1)}
       185:{2,3}:{(182,1),(183,1),(187,1)}
       186:{1,4}:{(183,1),(184,1),(187,1)}
       187:{1,3}:{(185,1),(186,1),(188,1)}
       188:{1,2}:{(187,1)}

1454 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(12,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(20,1),(168,1)}
         3:{1,3,4}:{(1,1),(8,1),(9,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(11,1),(12,1),(14,1),(39,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(42,1),(156,1),(172,1)}
         6:{1,2,3,7}:{(2,1),(13,1),(38,1)}
         7:{1,3,4,5}:{(9,1),(14,1),(15,1),(39,1),(80,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1)}
         9:{1,3,5}:{(3,1),(4,1),(18,1),(20,1)}
        10:{1,3,4,6}:{(3,1),(5,1),(19,1),(20,1),(21,1),(22,1),(59,1),(62,1),(139,1),(165,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1),(27,1),(59,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(22,1),(25,1),(174,1)}
        14:{2,4,5}:{(7,1),(18,1),(26,1),(27,1)}
        15:{1,3,4,6}:{(7,1),(20,1),(27,1),(28,1),(29,1),(59,1),(102,1)}
        16:{1,2,3}:{(30,1)}
        17:{1,3,4}:{(8,1),(30,1),(32,1)}
        18:{2,3,5}:{(8,1),(9,1),(14,1),(32,1),(34,1)}
        19:{2,3,4,6}:{(8,1),(10,1),(33,1),(34,1),(35,1),(36,1),(78,1),(82,1),(119,1),(153,1)}
        20:{1,3,6}:{(9,1),(11,1),(34,1),(38,1)}
        21:{1,3,5}:{(10,1),(12,1),(35,1),(39,1)}
        22:{1,3,4,7}:{(10,1),(13,1),(36,1),(38,1),(40,1),(83,1),(173,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(172,1)}
        24:{1,2,4,7}:{(11,1),(38,1),(41,1),(45,1),(83,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(40,1),(42,1)}
        26:{1,4,5}:{(14,1),(32,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(34,1),(43,1),(44,1),(45,1)}
        28:{1,3,5,6}:{(15,1),(44,1),(46,1),(47,1),(88,1)}
        29:{1,3,4,7}:{(15,1),(38,1),(45,1),(47,1),(83,1),(125,1)}
        30:{1,2,4}:{(16,1),(17,1),(48,1)}
        31:{1,2,3,6}:{(16,1),(49,1),(50,1),(51,1),(135,1)}
        32:{1,3,5}:{(17,1),(18,1),(26,1),(48,1),(52,1)}
        33:{1,3,4,6}:{(17,1),(19,1),(49,1),(52,1),(53,1),(54,1),(96,1),(97,1),(101,1),(135,1)}
        34:{2,3,6}:{(18,1),(20,1),(27,1),(52,1),(56,1)}
        35:{2,3,5}:{(19,1),(21,1),(53,1),(57,1)}
        36:{2,3,4,7}:{(19,1),(22,1),(54,1),(56,1),(58,1),(103,1),(166,1)}
        37:{1,3,5,6}:{(20,1),(21,1),(23,1),(55,1),(59,1),(60,1),(62,1),(108,1),(148,1),(165,1)}
        38:{1,3,7}:{(20,1),(24,1),(56,1)}
        39:{1,4,5}:{(21,1),(57,1),(59,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(61,1),(62,1)}
        41:{1,2,5,7}:{(23,1),(24,1),(60,1),(63,1),(67,1),(174,1)}
        42:{1,2,6}:{(25,1),(62,1)}
        43:{1,4,6}:{(26,1),(27,1),(52,1),(64,1),(65,1)}
        44:{2,5,6}:{(27,1),(28,1),(64,1),(67,1)}
        45:{2,4,7}:{(27,1),(29,1),(56,1),(65,1),(67,1)}
        46:{1,4,5,6}:{(28,1),(59,1),(66,1),(68,1),(108,1),(148,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(67,1),(68,1),(69,1),(112,1)}
        48:{1,2,5}:{(30,1),(32,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(33,1),(70,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,2,3,5}:{(31,1),(71,1),(73,1),(117,1)}
        51:{1,2,3,7}:{(31,1),(72,1),(154,1)}
        52:{1,3,6}:{(32,1),(34,1),(43,1),(70,1),(75,1)}
        53:{1,3,5}:{(33,1),(35,1),(71,1),(76,1)}
        54:{1,3,4,7}:{(33,1),(36,1),(72,1),(75,1),(77,1),(121,1),(154,1)}
        55:{2,3,5,6}:{(34,1),(35,1),(37,1),(44,1),(74,1),(78,1),(79,1),(82,1),(88,1),(128,1),(130,1),(153,1)}
        56:{2,3,7}:{(34,1),(38,1),(45,1),(75,1)}
        57:{2,4,5}:{(35,1),(39,1),(76,1),(78,1),(80,1)}
        58:{2,3,5,7}:{(35,1),(36,1),(40,1),(77,1),(81,1),(82,1)}
        59:{1,4,6}:{(37,1),(39,1),(78,1),(83,1)}
        60:{1,3,5,7}:{(37,1),(38,1),(41,1),(79,1),(83,1),(84,1),(129,1),(162,1),(173,1)}
        61:{1,4,5,7}:{(39,1),(40,1),(81,1),(83,1),(85,1),(129,1)}
        62:{1,3,6}:{(40,1),(42,1),(82,1),(85,1)}
        63:{1,2,6,7}:{(41,1),(42,1),(84,1),(90,1)}
        64:{1,5,6}:{(43,1),(44,1),(87,1)}
        65:{1,4,7}:{(43,1),(45,1),(75,1),(87,1)}
        66:{2,4,5,6}:{(44,1),(46,1),(78,1),(86,1),(88,1),(89,1),(128,1),(130,1),(161,1)}
        67:{2,5,7}:{(44,1),(45,1),(47,1),(87,1),(90,1)}
        68:{1,4,5,7}:{(46,1),(47,1),(83,1),(89,1),(91,1),(129,1),(162,1)}
        69:{1,3,6,7}:{(47,1),(90,1),(91,1),(133,1)}
        70:{1,2,6}:{(48,1),(52,1),(93,1)}
        71:{1,2,5}:{(49,1),(53,1)}
        72:{1,2,4,7}:{(49,1),(51,1),(54,1),(93,1),(95,1)}
        73:{1,2,4}:{(50,1),(96,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(55,1),(64,1),(92,1),(97,1),(98,1),(101,1),(135,1),(144,1)}
        75:{1,3,7}:{(52,1),(56,1),(65,1),(93,1)}
        76:{1,4,5}:{(53,1),(57,1),(97,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(58,1),(95,1),(100,1),(101,1)}
        78:{2,4,6}:{(55,1),(57,1),(59,1),(97,1),(102,1),(103,1)}
        79:{2,3,5,7}:{(55,1),(56,1),(60,1),(67,1),(98,1),(103,1),(104,1),(112,1),(146,1),(149,1),(166,1)}
        80:{3,4,5}:{(57,1),(102,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(61,1),(100,1),(103,1),(105,1),(106,1),(146,1)}
        82:{2,3,6}:{(58,1),(62,1),(101,1),(106,1)}
        83:{1,4,7}:{(59,1),(60,1),(103,1)}
        84:{1,3,6,7}:{(60,1),(62,1),(63,1),(104,1),(107,1),(171,1)}
        85:{1,4,6}:{(61,1),(62,1),(106,1),(108,1)}
        86:{1,4,5,6}:{(64,1),(66,1),(97,1),(109,1),(110,1),(144,1)}
        87:{1,5,7}:{(64,1),(65,1),(67,1),(111,1)}
        88:{3,5,6}:{(66,1),(102,1),(112,1)}
        89:{2,4,5,7}:{(66,1),(67,1),(68,1),(103,1),(110,1),(112,1),(113,1),(146,1),(149,1),(170,1)}
        90:{2,6,7}:{(67,1),(69,1),(111,1)}
        91:{1,4,6,7}:{(68,1),(69,1),(113,1),(114,1),(171,1)}
        92:{1,2,5,6}:{(70,1),(71,1),(74,1),(115,1),(116,1),(118,1),(130,1)}
        93:{1,2,7}:{(70,1),(75,1)}
        94:{1,2,4,5}:{(71,1),(73,1),(76,1),(115,1),(117,1),(123,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(77,1),(118,1)}
        96:{1,3,4}:{(73,1),(117,1),(119,1)}
        97:{1,4,6}:{(74,1),(76,1),(78,1),(121,1)}
        98:{1,3,5,7}:{(74,1),(75,1),(79,1),(87,1),(116,1),(121,1),(122,1),(154,1),(159,1)}
        99:{1,3,4,5}:{(76,1),(80,1),(117,1),(120,1),(123,1)}
       100:{1,4,5,7}:{(76,1),(77,1),(81,1),(121,1),(124,1),(159,1)}
       101:{1,3,6}:{(77,1),(82,1),(118,1),(124,1)}
       102:{3,4,6}:{(78,1),(80,1),(88,1),(125,1)}
       103:{2,4,7}:{(78,1),(79,1),(83,1),(121,1),(125,1)}
       104:{2,3,6,7}:{(79,1),(82,1),(84,1),(90,1),(122,1),(126,1),(133,1),(163,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(125,1),(127,1),(160,1)}
       106:{2,4,6}:{(81,1),(82,1),(85,1),(124,1),(127,1),(128,1)}
       107:{1,4,6,7}:{(83,1),(84,1),(85,1),(126,1),(129,1)}
       108:{1,5,6}:{(85,1),(128,1),(129,1)}
       109:{1,3,5,6}:{(86,1),(88,1),(120,1),(130,1),(131,1)}
       110:{1,4,5,7}:{(86,1),(87,1),(89,1),(121,1),(131,1),(132,1),(159,1)}
       111:{1,6,7}:{(87,1),(90,1)}
       112:{3,5,7}:{(88,1),(89,1),(125,1),(133,1)}
       113:{2,4,6,7}:{(89,1),(90,1),(91,1),(132,1),(133,1),(134,1),(163,1),(164,1)}
       114:{1,5,6,7}:{(91,1),(129,1),(134,1)}
       115:{1,2,4,6}:{(92,1),(94,1),(97,1),(135,1),(136,1),(140,1)}
       116:{1,2,5,7}:{(92,1),(93,1),(98,1),(136,1),(137,1),(149,1)}
       117:{1,3,5}:{(94,1),(96,1),(135,1),(138,1)}
       118:{1,2,6}:{(95,1),(101,1)}
       119:{2,3,4}:{(96,1),(138,1),(139,1)}
       120:{1,3,4,6}:{(97,1),(99,1),(102,1),(109,1),(135,1),(140,1),(141,1)}
       121:{1,4,7}:{(97,1),(98,1),(103,1)}
       122:{1,3,6,7}:{(98,1),(101,1),(104,1),(111,1),(137,1),(142,1)}
       123:{2,4,5}:{(99,1),(138,1),(140,1),(143,1)}
       124:{1,4,6}:{(100,1),(101,1),(106,1),(144,1)}
       125:{3,4,7}:{(102,1),(103,1),(112,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(106,1),(107,1),(142,1),(145,1),(146,1)}
       127:{3,4,6}:{(105,1),(106,1),(147,1)}
       128:{2,5,6}:{(106,1),(108,1),(144,1),(146,1),(147,1)}
       129:{1,5,7}:{(107,1),(108,1),(146,1)}
       130:{2,5,6}:{(109,1),(140,1),(148,1),(149,1)}
       131:{1,3,5,7}:{(109,1),(110,1),(112,1),(141,1),(149,1),(150,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(151,1)}
       133:{3,6,7}:{(112,1),(113,1)}
       134:{2,5,6,7}:{(113,1),(114,1),(146,1),(151,1),(152,1)}
       135:{1,3,6}:{(115,1),(117,1),(153,1),(154,1)}
       136:{1,2,4,7}:{(115,1),(116,1),(121,1),(154,1),(158,1)}
       137:{1,2,6,7}:{(116,1),(118,1),(122,1),(163,1)}
       138:{2,3,5}:{(117,1),(119,1),(123,1),(153,1),(155,1)}
       139:{1,3,4}:{(119,1),(155,1),(156,1)}
       140:{2,4,6}:{(120,1),(123,1),(130,1),(153,1),(157,1),(158,1)}
       141:{1,3,4,7}:{(120,1),(121,1),(125,1),(131,1),(154,1),(158,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(159,1)}
       143:{1,4,5}:{(123,1),(155,1),(157,1)}
       144:{1,5,6}:{(124,1),(128,1),(159,1)}
       145:{3,4,6,7}:{(125,1),(126,1),(127,1),(133,1),(160,1),(164,1)}
       146:{2,5,7}:{(126,1),(128,1),(129,1),(159,1),(160,1)}
       147:{3,5,6}:{(127,1),(128,1),(160,1),(161,1)}
       148:{1,5,6}:{(130,1),(157,1),(162,1)}
       149:{2,5,7}:{(130,1),(131,1),(158,1),(162,1),(163,1)}
       150:{1,3,6,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{1,5,6,7}:{(132,1),(134,1),(159,1)}
       152:{3,5,6,7}:{(133,1),(134,1),(160,1),(164,1)}
       153:{2,3,6}:{(135,1),(138,1),(140,1),(165,1),(166,1)}
       154:{1,3,7}:{(135,1),(136,1),(166,1)}
       155:{1,3,5}:{(138,1),(139,1),(143,1),(165,1),(167,1)}
       156:{1,2,4}:{(139,1),(167,1),(168,1)}
       157:{1,4,6}:{(140,1),(143,1),(148,1),(165,1),(169,1)}
       158:{2,4,7}:{(140,1),(141,1),(149,1),(166,1),(169,1)}
       159:{1,5,7}:{(142,1),(144,1),(146,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(170,1)}
       161:{4,5,6}:{(147,1),(170,1)}
       162:{1,5,7}:{(148,1),(149,1),(169,1),(171,1)}
       163:{2,6,7}:{(149,1),(150,1),(171,1)}
       164:{4,6,7}:{(152,1),(170,1)}
       165:{1,3,6}:{(153,1),(155,1),(157,1),(172,1),(173,1)}
       166:{2,3,7}:{(153,1),(154,1),(158,1),(173,1)}
       167:{1,2,5}:{(155,1),(156,1),(172,1)}
       168:{1,2,3}:{(156,1)}
       169:{1,4,7}:{(157,1),(158,1),(162,1),(173,1)}
       170:{4,5,7}:{(160,1),(161,1),(164,1)}
       171:{1,6,7}:{(162,1),(163,1)}
       172:{1,2,6}:{(165,1),(167,1),(174,1)}
       173:{1,3,7}:{(165,1),(166,1),(169,1),(174,1)}
       174:{1,2,7}:{(172,1),(173,1)}

1455 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1456 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1457 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1458 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1459 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1460 :   0:{1,2,5,6,7}:{(1,1),(2,1),(46,1),(87,1),(97,1),(141,1),(150,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(61,1),(111,1),(121,1),(170,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(126,1),(177,1),(181,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(26,1),(33,1),(69,1),(74,1),(126,1),(131,1),(135,1),(167,1),(177,1),(181,1),(214,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(51,1),(82,1),(100,1),(138,1),(150,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(46,1),(82,1),(92,1),(150,1),(152,1),(202,1)}
         6:{1,4,6,7}:{(1,1),(13,1),(14,1),(149,1),(195,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(46,1),(49,1),(99,1),(141,1),(151,1),(156,1),(162,1),(195,1)}
         8:{1,3,6,7}:{(2,1),(16,1),(17,1),(153,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1),(19,1),(102,1),(153,1),(164,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(22,1),(32,1),(56,1),(71,1),(121,1),(130,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(57,1),(166,1),(177,1),(212,1)}
        12:{1,2,4,5,6}:{(21,1),(23,1),(55,1),(62,1),(109,1),(114,1),(127,1),(166,1),(171,1),(175,1),(177,1),(183,1),(212,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,4,5,7}:{(6,1),(24,1),(26,1),(27,1),(111,1)}
        15:{1,3,4,6,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(30,1),(68,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(9,1),(30,1),(31,1),(179,1),(189,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(31,1),(32,1),(125,1),(181,1)}
        18:{1,3,4,6}:{(9,1),(29,1),(30,1),(33,1),(214,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(31,1),(33,1),(34,1),(69,1),(73,1),(125,1),(131,1),(136,1),(181,1)}
        20:{1,4,6,7}:{(10,1),(13,1),(35,1),(149,1),(158,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(82,1),(85,1),(100,1),(140,1),(151,1),(158,1),(193,1),(199,1)}
        22:{1,3,6,7}:{(11,1),(37,1),(38,1),(190,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(37,1),(39,1),(40,1),(143,1),(190,1),(201,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(14,1),(35,1),(41,1),(42,1),(46,1),(82,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(204,1)}
        26:{1,4,5,6}:{(14,1),(41,1),(44,1),(138,1),(149,1),(208,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(42,1),(44,1),(46,1)}
        28:{2,4,6,7}:{(15,1),(17,1),(46,1),(47,1),(49,1),(96,1)}
        29:{1,3,4,5}:{(18,1),(48,1),(102,1),(161,1),(230,1),(234,1)}
        30:{1,3,4,7}:{(16,1),(18,1),(49,1),(195,1),(204,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(49,1),(50,1),(156,1),(163,1)}
        32:{1,3,6,7}:{(17,1),(47,1),(50,1),(51,1),(153,1)}
        33:{2,4,6}:{(18,1),(19,1),(48,1),(49,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(50,1),(53,1),(54,1),(97,1),(102,1),(107,1),(153,1)}
        35:{1,4,5,7}:{(20,1),(24,1),(55,1),(56,1),(71,1)}
        36:{1,3,4,6,7}:{(20,1),(22,1),(25,1),(56,1),(57,1),(59,1),(108,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(23,1),(59,1),(60,1),(179,1),(220,1)}
        38:{2,3,6,7}:{(22,1),(57,1),(60,1),(61,1),(165,1),(212,1)}
        39:{1,3,4,6}:{(23,1),(58,1),(59,1),(62,1),(183,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(60,1),(62,1),(63,1),(109,1),(113,1),(165,1),(171,1),(176,1),(212,1)}
        41:{2,4,5,6}:{(24,1),(26,1),(55,1),(64,1),(69,1),(109,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(64,1)}
        43:{2,3,4,6,7}:{(25,1),(28,1),(57,1),(66,1),(67,1),(75,1),(115,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(224,1),(238,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(64,1),(68,1),(69,1),(225,1)}
        45:{1,3,4,5,7}:{(27,1),(29,1),(30,1),(65,1),(68,1),(70,1),(122,1),(128,1),(179,1),(186,1),(225,1)}
        46:{2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        47:{1,4,6,7}:{(28,1),(32,1),(71,1),(76,1),(126,1)}
        48:{2,4,5}:{(29,1),(33,1),(73,1),(74,1),(131,1),(188,1)}
        49:{2,4,7}:{(30,1),(31,1),(33,1),(76,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(76,1),(77,1),(134,1)}
        51:{1,2,6,7}:{(32,1),(77,1),(181,1)}
        52:{2,3,4,6}:{(33,1),(73,1),(75,1),(78,1),(125,1),(136,1),(188,1),(221,1),(224,1)}
        53:{1,4,6}:{(33,1),(34,1),(74,1),(76,1)}
        54:{1,2,5,6}:{(34,1),(77,1),(79,1),(131,1),(181,1)}
        55:{1,4,5,6}:{(35,1),(41,1),(80,1),(97,1),(149,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(42,1),(80,1),(82,1)}
        57:{2,4,6,7}:{(36,1),(38,1),(82,1),(83,1),(85,1),(137,1)}
        58:{1,3,4,5}:{(39,1),(84,1),(143,1),(198,1),(208,1),(234,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(85,1),(158,1),(204,1)}
        60:{2,3,5,7}:{(37,1),(38,1),(40,1),(82,1),(85,1),(86,1),(193,1),(200,1)}
        61:{1,3,6,7}:{(38,1),(83,1),(86,1),(87,1),(190,1)}
        62:{2,4,6}:{(39,1),(40,1),(84,1),(85,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(86,1),(89,1),(90,1),(138,1),(143,1),(148,1),(190,1)}
        64:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        65:{3,4,5,7}:{(42,1),(91,1),(93,1),(204,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(46,1),(82,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(47,1),(83,1),(94,1),(95,1),(101,1),(104,1),(142,1),(145,1),(149,1),(153,1),(158,1),(190,1),(195,1),(202,1),(204,1),(207,1),(229,1),(235,1),(242,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(91,1),(96,1),(149,1),(153,1),(202,1)}
        69:{2,5,6}:{(44,1),(46,1),(96,1),(97,1),(236,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(48,1),(49,1),(96,1),(98,1),(99,1),(156,1),(210,1),(236,1)}
        71:{1,5,7}:{(46,1),(47,1),(97,1)}
        72:{1,2,4,6,7}:{(47,1),(51,1),(95,1),(100,1),(101,1),(105,1),(154,1),(158,1),(199,1),(227,1),(242,1)}
        73:{2,3,5}:{(48,1),(52,1),(102,1),(234,1),(236,1)}
        74:{1,4,5}:{(48,1),(53,1),(102,1),(211,1)}
        75:{2,3,4,7}:{(49,1),(52,1),(98,1),(104,1),(163,1),(204,1),(210,1)}
        76:{1,4,7}:{(49,1),(50,1),(53,1)}
        77:{1,2,5,7}:{(50,1),(51,1),(54,1),(105,1),(156,1)}
        78:{1,3,4,6}:{(52,1),(53,1),(102,1),(104,1),(106,1),(107,1),(153,1),(161,1),(164,1),(211,1),(235,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(103,1),(105,1),(106,1),(107,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(109,1),(239,1)}
        81:{1,3,4,5,7}:{(56,1),(58,1),(59,1),(65,1),(108,1),(110,1),(122,1),(168,1),(179,1),(217,1),(239,1)}
        82:{2,5,7}:{(56,1),(57,1),(109,1),(111,1)}
        83:{1,4,6,7}:{(57,1),(61,1),(111,1),(116,1),(166,1)}
        84:{2,4,5}:{(58,1),(62,1),(113,1),(114,1),(171,1),(219,1)}
        85:{2,4,7}:{(59,1),(60,1),(62,1),(116,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(63,1),(111,1),(116,1),(117,1),(174,1)}
        87:{1,2,6,7}:{(61,1),(117,1),(212,1)}
        88:{2,3,4,6}:{(62,1),(113,1),(115,1),(118,1),(165,1),(176,1),(219,1),(221,1),(238,1)}
        89:{1,4,6}:{(62,1),(63,1),(114,1),(116,1)}
        90:{1,2,5,6}:{(63,1),(117,1),(119,1),(171,1),(212,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,3,5,6}:{(64,1),(66,1),(69,1),(109,1),(120,1),(121,1),(125,1),(165,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(120,1),(122,1),(180,1),(222,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(71,1),(111,1),(121,1),(122,1),(123,1),(179,1),(225,1),(239,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(133,1),(173,1),(177,1),(180,1),(181,1),(212,1),(224,1),(238,1)}
        96:{2,4,6}:{(68,1),(69,1),(70,1),(125,1),(126,1),(181,1)}
        97:{1,5,6}:{(69,1),(71,1),(126,1),(241,1)}
        98:{2,3,5,7}:{(70,1),(73,1),(75,1),(125,1),(128,1),(179,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(76,1),(126,1),(128,1),(226,1),(241,1)}
       100:{1,2,5,7}:{(71,1),(72,1),(123,1),(127,1),(130,1),(244,1)}
       101:{1,3,6,7}:{(72,1),(124,1),(130,1),(134,1),(182,1),(220,1),(237,1)}
       102:{1,3,5}:{(73,1),(74,1),(78,1),(131,1),(241,1)}
       103:{1,2,4,5}:{(74,1),(79,1),(131,1),(132,1),(188,1)}
       104:{1,3,4,7}:{(75,1),(76,1),(78,1),(128,1),(133,1),(134,1),(189,1),(226,1)}
       105:{1,2,4,7}:{(76,1),(77,1),(79,1),(133,1),(134,1)}
       106:{2,4,6}:{(78,1),(131,1),(133,1),(136,1),(181,1),(188,1)}
       107:{1,3,6}:{(79,1),(132,1),(134,1),(136,1)}
       108:{1,3,4,6}:{(80,1),(81,1),(91,1),(137,1),(149,1),(190,1),(202,1)}
       109:{2,5,6}:{(80,1),(82,1),(137,1),(138,1),(243,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(84,1),(85,1),(137,1),(139,1),(140,1),(193,1),(232,1),(243,1)}
       111:{1,5,7}:{(82,1),(83,1),(138,1)}
       112:{1,2,4,6,7}:{(83,1),(87,1),(95,1),(141,1),(142,1),(146,1),(162,1),(191,1),(195,1),(205,1),(235,1)}
       113:{2,3,5}:{(84,1),(88,1),(143,1),(234,1),(243,1)}
       114:{1,4,5}:{(84,1),(89,1),(143,1),(233,1)}
       115:{2,3,4,7}:{(85,1),(88,1),(139,1),(145,1),(200,1),(204,1),(232,1)}
       116:{1,4,7}:{(85,1),(86,1),(89,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(90,1),(146,1),(193,1)}
       118:{1,3,4,6}:{(88,1),(89,1),(143,1),(145,1),(147,1),(148,1),(190,1),(198,1),(201,1),(233,1),(242,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(144,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(94,1),(97,1),(138,1),(149,1),(150,1),(153,1),(190,1),(202,1)}
       122:{1,4,5,7}:{(93,1),(94,1),(149,1),(151,1),(158,1),(195,1),(208,1),(230,1)}
       123:{2,5,7}:{(94,1),(95,1),(150,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(101,1),(142,1),(152,1),(163,1),(200,1),(202,1),(206,1),(228,1)}
       125:{2,3,6}:{(96,1),(98,1),(153,1),(202,1)}
       126:{1,4,6}:{(96,1),(97,1),(99,1),(153,1)}
       127:{1,2,5,6}:{(97,1),(100,1),(150,1),(154,1),(155,1),(227,1),(236,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(102,1),(104,1),(153,1),(156,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(151,1),(154,1),(156,1),(157,1),(158,1),(208,1),(210,1),(236,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(152,1),(155,1),(158,1)}
       131:{2,5}:{(102,1),(106,1)}
       132:{1,3,5}:{(103,1),(107,1),(160,1),(161,1)}
       133:{2,4,7}:{(104,1),(106,1),(156,1),(163,1)}
       134:{1,3,7}:{(105,1),(107,1),(163,1)}
       135:{1,2,4,6}:{(106,1),(159,1),(162,1),(164,1),(205,1),(211,1),(235,1)}
       136:{2,3,6}:{(106,1),(107,1),(160,1),(163,1),(164,1)}
       137:{2,4,6}:{(108,1),(109,1),(110,1),(165,1),(166,1),(212,1)}
       138:{1,5,6}:{(109,1),(111,1),(166,1),(244,1)}
       139:{2,3,5,7}:{(110,1),(113,1),(115,1),(165,1),(168,1),(179,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(116,1),(166,1),(168,1),(240,1),(244,1)}
       141:{1,2,5,7}:{(111,1),(112,1),(123,1),(167,1),(170,1),(241,1)}
       142:{1,3,6,7}:{(112,1),(124,1),(170,1),(174,1),(189,1),(213,1),(223,1)}
       143:{1,3,5}:{(113,1),(114,1),(118,1),(171,1),(244,1)}
       144:{1,2,4,5}:{(114,1),(119,1),(171,1),(172,1),(219,1)}
       145:{1,3,4,7}:{(115,1),(116,1),(118,1),(168,1),(173,1),(174,1),(220,1),(240,1)}
       146:{1,2,4,7}:{(116,1),(117,1),(119,1),(173,1),(174,1)}
       147:{2,4,6}:{(118,1),(171,1),(173,1),(176,1),(212,1),(219,1)}
       148:{1,3,6}:{(119,1),(172,1),(174,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,5,6}:{(121,1),(123,1),(177,1),(181,1),(212,1)}
       151:{2,4,5,7}:{(122,1),(123,1),(177,1),(179,1),(180,1),(222,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(130,1),(170,1),(178,1),(179,1),(180,1)}
       153:{1,3,6}:{(125,1),(126,1),(128,1),(181,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(129,1),(177,1),(181,1),(182,1),(183,1),(224,1)}
       155:{1,3,5,6}:{(127,1),(130,1),(178,1),(182,1),(183,1),(225,1),(237,1),(244,1)}
       156:{2,5,7}:{(128,1),(131,1),(133,1),(181,1)}
       157:{1,3,5,7}:{(129,1),(132,1),(134,1),(179,1),(182,1),(185,1),(186,1),(225,1)}
       158:{1,4,7}:{(130,1),(180,1),(183,1)}
       159:{1,2,5}:{(131,1),(135,1),(187,1),(241,1)}
       160:{2,3,5}:{(131,1),(132,1),(136,1),(187,1),(188,1)}
       161:{1,3,4}:{(132,1),(188,1)}
       162:{1,2,4,7}:{(133,1),(135,1),(184,1),(189,1),(226,1)}
       163:{2,3,7}:{(133,1),(134,1),(136,1),(189,1)}
       164:{1,3,6}:{(135,1),(136,1),(187,1),(189,1)}
       165:{2,3,6}:{(137,1),(139,1),(190,1),(202,1)}
       166:{1,4,6}:{(137,1),(138,1),(140,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(141,1),(150,1),(191,1),(192,1),(205,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(143,1),(145,1),(190,1),(193,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(144,1),(146,1),(151,1),(191,1),(193,1),(194,1),(195,1),(230,1),(232,1),(243,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(152,1),(192,1),(195,1)}
       171:{2,5}:{(143,1),(147,1)}
       172:{1,3,5}:{(144,1),(148,1),(197,1),(198,1)}
       173:{2,4,7}:{(145,1),(147,1),(193,1),(200,1)}
       174:{1,3,7}:{(146,1),(148,1),(200,1)}
       175:{1,2,4,6}:{(147,1),(196,1),(199,1),(201,1),(227,1),(233,1),(242,1)}
       176:{2,3,6}:{(147,1),(148,1),(197,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{2,3,5,6}:{(150,1),(152,1),(155,1),(192,1),(202,1),(203,1),(206,1),(228,1),(234,1),(236,1),(243,1)}
       179:{3,5,7}:{(151,1),(202,1),(204,1),(234,1)}
       180:{2,4,7}:{(152,1),(158,1),(195,1),(203,1),(204,1)}
       181:{2,6}:{(153,1),(156,1)}
       182:{1,3,6}:{(154,1),(157,1),(202,1),(206,1)}
       183:{1,4,6}:{(155,1),(158,1),(203,1),(208,1)}
       184:{1,2,5,7}:{(156,1),(159,1),(162,1),(205,1),(209,1)}
       185:{2,3,5,7}:{(156,1),(157,1),(160,1),(163,1),(206,1),(209,1),(210,1),(236,1)}
       186:{1,3,4,7}:{(157,1),(158,1),(161,1),(204,1),(207,1),(210,1)}
       187:{1,3,5}:{(159,1),(160,1),(164,1),(211,1)}
       188:{2,4}:{(160,1),(161,1),(211,1)}
       189:{1,3,7}:{(162,1),(163,1),(164,1)}
       190:{1,3,6}:{(165,1),(166,1),(168,1),(212,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(169,1),(177,1),(212,1),(213,1),(214,1),(238,1)}
       192:{1,3,5,6}:{(167,1),(170,1),(178,1),(213,1),(214,1),(223,1),(239,1),(241,1)}
       193:{2,5,7}:{(168,1),(171,1),(173,1),(212,1)}
       194:{1,3,5,7}:{(169,1),(172,1),(174,1),(179,1),(213,1),(216,1),(217,1),(239,1)}
       195:{1,4,7}:{(170,1),(180,1),(214,1)}
       196:{1,2,5}:{(171,1),(175,1),(218,1),(244,1)}
       197:{2,3,5}:{(171,1),(172,1),(176,1),(218,1),(219,1)}
       198:{1,3,4}:{(172,1),(219,1)}
       199:{1,2,4,7}:{(173,1),(175,1),(215,1),(220,1),(240,1)}
       200:{2,3,7}:{(173,1),(174,1),(176,1),(220,1)}
       201:{1,3,6}:{(175,1),(176,1),(218,1),(220,1)}
       202:{3,6}:{(177,1),(179,1)}
       203:{2,4,6}:{(178,1),(180,1),(183,1),(214,1),(221,1),(222,1)}
       204:{3,4,7}:{(179,1),(180,1),(221,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{2,3,6}:{(181,1),(182,1),(185,1),(223,1),(224,1)}
       207:{1,3,4,6}:{(182,1),(183,1),(186,1),(221,1),(224,1),(225,1)}
       208:{1,4,5}:{(183,1),(222,1),(225,1),(244,1)}
       209:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(223,1),(226,1),(241,1)}
       210:{2,4,7}:{(185,1),(186,1),(188,1),(224,1),(226,1)}
       211:{1,4}:{(187,1),(188,1)}
       212:{2,6}:{(190,1),(193,1)}
       213:{1,3,6}:{(191,1),(194,1),(202,1),(228,1)}
       214:{1,4,6}:{(192,1),(195,1),(203,1),(230,1)}
       215:{1,2,5,7}:{(193,1),(196,1),(199,1),(227,1),(231,1)}
       216:{2,3,5,7}:{(193,1),(194,1),(197,1),(200,1),(228,1),(231,1),(232,1),(243,1)}
       217:{1,3,4,7}:{(194,1),(195,1),(198,1),(204,1),(229,1),(232,1)}
       218:{1,3,5}:{(196,1),(197,1),(201,1),(233,1)}
       219:{2,4}:{(197,1),(198,1),(233,1)}
       220:{1,3,7}:{(199,1),(200,1),(201,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(203,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(209,1),(235,1)}
       224:{2,4,6}:{(206,1),(207,1),(210,1),(235,1),(236,1)}
       225:{1,3,5}:{(207,1),(208,1),(234,1),(236,1)}
       226:{1,4,7}:{(209,1),(210,1),(211,1),(235,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{2,3,6}:{(212,1),(213,1),(216,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(213,1),(214,1),(217,1),(221,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(222,1),(239,1),(241,1)}
       231:{1,3,5,7}:{(215,1),(216,1),(218,1),(220,1),(237,1),(240,1),(244,1)}
       232:{2,4,7}:{(216,1),(217,1),(219,1),(238,1),(240,1)}
       233:{1,4}:{(218,1),(219,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(226,1),(241,1)}
       236:{2,5}:{(224,1),(225,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(231,1),(242,1)}
       238:{2,4,6}:{(228,1),(229,1),(232,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(234,1),(243,1)}
       240:{1,4,7}:{(231,1),(232,1),(233,1),(242,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1461 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1462 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(51,1),(117,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(22,1),(24,1),(62,1),(65,1),(127,1),(192,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(30,1),(77,1),(145,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(153,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(29,1),(37,1),(75,1),(87,1),(141,1),(153,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(39,1),(89,1),(227,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(19,1),(51,1),(177,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(108,1),(183,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(18,1),(51,1),(55,1),(108,1)}
         9:{2,5,6,7}:{(3,1),(18,1),(19,1),(191,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(18,1),(20,1),(21,1),(58,1),(119,1),(191,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(20,1),(22,1),(127,1)}
        12:{1,4,5,6}:{(5,1),(21,1),(22,1),(121,1),(257,1)}
        13:{2,3,4,5}:{(17,1),(26,1),(122,1),(132,1),(202,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(213,1)}
        15:{3,4,6,7}:{(7,1),(29,1),(30,1)}
        16:{2,3,5,6,7}:{(7,1),(9,1),(28,1),(30,1),(31,1),(34,1),(71,1),(74,1)}
        17:{2,3,4,6}:{(11,1),(13,1),(32,1),(33,1),(89,1),(148,1),(165,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(10,1),(34,1),(35,1),(82,1)}
        19:{1,5,6,7}:{(9,1),(35,1),(226,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(32,1),(34,1),(37,1),(141,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(35,1),(37,1),(155,1),(226,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(38,1),(39,1),(40,1),(80,1),(89,1),(94,1),(154,1),(158,1),(163,1),(225,1),(227,1),(228,1),(236,1),(279,1),(287,1),(308,1)}
        24:{3,4,5,6}:{(29,1),(42,1),(221,1),(286,1)}
        25:{2,3,4,5,7}:{(13,1),(32,1),(43,1),(44,1),(74,1),(134,1),(156,1),(159,1),(168,1),(217,1),(270,1),(274,1),(287,1),(307,1)}
        26:{1,3,4,5}:{(13,1),(33,1),(45,1),(98,1),(158,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(51,1),(102,1),(108,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(246,1)}
        29:{3,4,5,7}:{(15,1),(24,1),(49,1),(183,1),(294,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1)}
        31:{1,3,5,6,7}:{(16,1),(19,1),(48,1),(51,1),(52,1),(55,1),(102,1),(105,1),(108,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(53,1),(119,1),(180,1),(185,1)}
        33:{1,3,4,6}:{(17,1),(22,1),(26,1),(53,1),(54,1),(112,1),(121,1)}
        34:{2,3,6,7}:{(18,1),(20,1),(55,1),(108,1)}
        35:{1,4,6,7}:{(18,1),(19,1),(21,1),(55,1)}
        36:{1,2,5,6,7}:{(19,1),(52,1),(56,1),(57,1),(174,1),(178,1),(191,1),(257,1),(297,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(55,1),(58,1)}
        38:{1,2,4,5,7}:{(21,1),(23,1),(56,1),(58,1),(59,1),(106,1),(110,1),(117,1),(119,1),(178,1),(191,1),(193,1),(249,1),(255,1),(295,1)}
        39:{2,5,6}:{(22,1),(54,1),(58,1)}
        40:{1,3,5,6}:{(23,1),(59,1),(61,1),(62,1),(112,1),(127,1),(189,1),(256,1),(302,1),(313,1)}
        41:{1,3,4,5,6}:{(24,1),(46,1),(63,1),(65,1),(124,1),(127,1),(199,1),(247,1)}
        42:{2,4,5,6}:{(24,1),(49,1),(64,1),(65,1),(264,1)}
        43:{2,3,4,6}:{(25,1),(64,1),(66,1),(194,1),(203,1),(251,1),(264,1),(292,1),(313,1)}
        44:{1,3,4,5,7}:{(25,1),(26,1),(53,1),(66,1),(67,1),(105,1),(130,1),(171,1),(180,1),(193,1),(195,1),(202,1),(249,1),(265,1),(291,1)}
        45:{2,4,5}:{(26,1),(54,1),(69,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(41,1),(70,1),(75,1),(135,1),(141,1),(210,1),(213,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(137,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(272,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(42,1),(74,1),(75,1),(274,1)}
        50:{2,3,4,6,7}:{(30,1),(32,1),(34,1),(43,1),(71,1),(74,1),(76,1),(134,1),(144,1),(152,1),(212,1),(218,1),(274,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(75,1),(77,1)}
        52:{2,5,6,7}:{(31,1),(77,1),(82,1),(137,1),(140,1)}
        53:{1,3,4,7}:{(32,1),(33,1),(37,1),(79,1),(146,1),(155,1)}
        54:{2,4,6}:{(33,1),(39,1),(45,1),(79,1),(81,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(37,1),(82,1)}
        56:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(77,1),(82,1),(83,1),(84,1),(152,1),(228,1),(279,1),(308,1)}
        57:{1,3,5,6,7}:{(36,1),(78,1),(83,1),(84,1),(153,1),(211,1),(215,1),(272,1),(278,1)}
        58:{2,5,7}:{(37,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(38,1),(40,1),(83,1),(86,1),(87,1),(141,1),(146,1),(307,1)}
        60:{1,2,5,6}:{(39,1),(80,1),(85,1),(88,1),(225,1),(279,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(81,1),(86,1),(88,1),(89,1),(148,1),(150,1),(224,1),(225,1),(227,1),(279,1)}
        62:{1,3,4,6}:{(40,1),(87,1),(89,1),(90,1),(165,1),(236,1),(286,1)}
        63:{2,4,5,6}:{(41,1),(70,1),(91,1),(92,1),(161,1),(233,1),(273,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(74,1),(93,1),(221,1),(227,1),(273,1)}
        65:{1,4,5,6}:{(42,1),(75,1),(93,1),(94,1),(236,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(93,1),(95,1),(165,1),(166,1),(228,1),(236,1),(306,1)}
        67:{2,4,5,7}:{(44,1),(45,1),(79,1),(95,1),(97,1),(140,1),(207,1),(216,1),(229,1),(237,1)}
        68:{1,2,4,5}:{(45,1),(80,1),(98,1),(158,1),(170,1),(225,1)}
        69:{2,3,5}:{(45,1),(81,1),(98,1),(99,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(63,1),(100,1),(101,1),(172,1),(243,1),(246,1)}
        71:{2,3,6,7}:{(47,1),(100,1),(102,1),(108,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(101,1),(102,1)}
        73:{1,2,5,6,7}:{(48,1),(52,1),(103,1),(104,1),(114,1),(178,1),(246,1),(293,1),(297,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(64,1),(105,1),(183,1),(191,1),(246,1)}
        75:{1,4,5,7}:{(49,1),(51,1),(65,1),(105,1),(106,1),(249,1)}
        76:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(55,1),(66,1),(102,1),(105,1),(107,1),(108,1),(171,1),(180,1),(181,1),(190,1),(245,1),(249,1)}
        77:{2,4,6,7}:{(51,1),(52,1),(106,1),(108,1)}
        78:{2,3,5,6,7}:{(52,1),(57,1),(104,1),(108,1),(109,1),(115,1),(175,1),(179,1),(183,1),(191,1),(246,1),(248,1),(254,1),(297,1),(313,1)}
        79:{2,4,7}:{(53,1),(54,1),(58,1),(111,1)}
        80:{1,2,4,6}:{(54,1),(60,1),(68,1),(110,1),(112,1),(121,1),(188,1)}
        81:{2,3,6}:{(54,1),(69,1),(111,1),(112,1)}
        82:{2,6,7}:{(55,1),(58,1)}
        83:{1,3,6,7}:{(56,1),(59,1),(108,1),(115,1),(256,1),(313,1)}
        84:{1,4,6,7}:{(57,1),(109,1),(117,1),(249,1),(296,1)}
        85:{1,2,5,7}:{(58,1),(60,1),(110,1),(114,1),(118,1),(255,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(111,1),(115,1),(118,1),(119,1),(185,1),(191,1),(255,1)}
        87:{1,3,4,7}:{(59,1),(62,1),(119,1),(180,1),(249,1),(294,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(112,1),(118,1),(121,1),(189,1),(256,1),(257,1)}
        89:{2,4,6}:{(61,1),(62,1),(119,1),(121,1),(122,1)}
        90:{1,3,4,5}:{(62,1),(122,1),(189,1),(202,1),(265,1),(302,1)}
        91:{2,3,5,6}:{(63,1),(100,1),(123,1),(124,1),(127,1)}
        92:{1,4,5,6}:{(63,1),(101,1),(124,1),(262,1),(293,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(66,1),(105,1),(126,1),(127,1),(257,1),(293,1)}
        94:{2,4,5,6}:{(65,1),(106,1),(126,1),(127,1),(201,1)}
        95:{2,4,6}:{(66,1),(67,1),(126,1),(129,1)}
        96:{1,2,4,5,7}:{(67,1),(68,1),(110,1),(128,1),(130,1),(178,1),(193,1),(206,1),(240,1),(249,1),(255,1),(258,1),(265,1),(266,1),(291,1),(295,1),(311,1)}
        97:{2,3,5,7}:{(67,1),(69,1),(111,1),(129,1),(130,1),(131,1),(205,1),(241,1),(259,1)}
        98:{1,3,5}:{(68,1),(69,1),(112,1),(132,1),(133,1)}
        99:{2,3,4}:{(69,1),(133,1)}
       100:{2,3,5,7}:{(70,1),(71,1),(91,1),(134,1),(135,1),(141,1)}
       101:{1,4,5,7}:{(70,1),(72,1),(92,1),(135,1),(269,1),(272,1)}
       102:{1,3,6,7}:{(71,1),(72,1),(135,1),(137,1)}
       103:{1,2,4,6,7}:{(72,1),(73,1),(77,1),(136,1),(137,1),(138,1),(139,1),(212,1),(306,1),(308,1),(314,1)}
       104:{1,3,5,6,7}:{(73,1),(78,1),(138,1),(139,1),(151,1),(213,1),(215,1),(226,1),(278,1)}
       105:{1,3,5,7}:{(74,1),(75,1),(76,1),(93,1),(140,1),(141,1),(226,1),(272,1)}
       106:{2,4,5,7}:{(75,1),(77,1),(94,1),(140,1),(141,1),(216,1)}
       107:{2,4,6,7}:{(76,1),(79,1),(82,1),(95,1),(137,1),(140,1),(143,1),(207,1),(216,1)}
       108:{3,6,7}:{(77,1),(141,1)}
       109:{2,4,6,7}:{(78,1),(84,1),(139,1),(144,1),(145,1),(216,1),(274,1),(276,1),(308,1)}
       110:{1,2,4,7}:{(79,1),(80,1),(85,1),(146,1),(155,1),(222,1)}
       111:{2,3,7}:{(79,1),(81,1),(146,1)}
       112:{1,3,6}:{(80,1),(81,1),(98,1),(146,1),(148,1)}
       113:{2,3,4,6}:{(81,1),(89,1),(99,1),(147,1),(149,1),(150,1),(224,1),(286,1)}
       114:{1,2,6,7}:{(82,1),(85,1),(151,1),(279,1)}
       115:{2,3,6,7}:{(82,1),(83,1),(86,1),(151,1),(152,1),(224,1),(279,1)}
       116:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(144,1),(152,1),(153,1),(157,1)}
       117:{1,4,5,7}:{(84,1),(145,1),(153,1),(154,1),(272,1)}
       118:{1,3,5,7}:{(85,1),(86,1),(88,1),(146,1),(151,1),(155,1),(226,1)}
       119:{2,4,7}:{(86,1),(87,1),(89,1),(155,1)}
       120:{1,3,4,5,7}:{(87,1),(90,1),(153,1),(156,1),(157,1),(217,1),(223,1),(275,1),(307,1)}
       121:{1,4,6}:{(88,1),(89,1),(155,1),(158,1)}
       122:{2,4,5}:{(89,1),(90,1),(150,1),(158,1),(225,1)}
       123:{2,3,4,6}:{(91,1),(134,1),(159,1),(160,1),(165,1),(233,1),(282,1)}
       124:{1,3,5,6}:{(91,1),(92,1),(135,1),(160,1),(161,1)}
       125:{1,2,4,5,6}:{(92,1),(94,1),(136,1),(161,1),(162,1),(163,1),(214,1),(230,1),(233,1),(236,1),(273,1),(285,1),(287,1),(306,1),(308,1),(310,1),(314,1)}
       126:{2,5,6}:{(93,1),(95,1),(140,1)}
       127:{3,5,6}:{(94,1),(141,1),(165,1)}
       128:{1,2,4,6}:{(95,1),(96,1),(163,1),(166,1),(228,1),(236,1),(238,1),(279,1),(306,1),(308,1),(314,1)}
       129:{2,3,6}:{(95,1),(97,1),(166,1)}
       130:{1,3,5,7}:{(96,1),(97,1),(98,1),(146,1),(166,1),(168,1),(169,1),(239,1),(267,1),(280,1),(307,1)}
       131:{2,3,4,7}:{(97,1),(99,1),(167,1),(169,1),(216,1),(281,1)}
       132:{2,3,5}:{(98,1),(148,1),(170,1),(225,1)}
       133:{1,3,4}:{(98,1),(99,1),(170,1)}
       134:{2,3,4,7}:{(100,1),(123,1),(171,1),(180,1),(243,1),(288,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(102,1),(124,1),(171,1),(172,1)}
       136:{1,2,4,5,7}:{(101,1),(103,1),(106,1),(125,1),(172,1),(173,1),(177,1),(178,1),(240,1),(243,1),(246,1),(249,1),(291,1),(295,1),(311,1)}
       137:{2,6,7}:{(102,1),(172,1)}
       138:{1,3,6,7}:{(103,1),(108,1),(173,1),(175,1),(312,1),(313,1)}
       139:{1,4,6,7}:{(104,1),(109,1),(177,1),(249,1),(296,1)}
       140:{2,5,7}:{(105,1),(107,1),(126,1)}
       141:{3,5,7}:{(106,1),(108,1),(127,1),(180,1)}
       142:{1,2,4,6,7}:{(107,1),(110,1),(114,1),(128,1),(174,1),(178,1),(181,1),(190,1),(240,1),(245,1),(249,1),(252,1)}
       143:{2,3,6,7}:{(107,1),(108,1),(111,1),(129,1),(179,1),(181,1),(241,1)}
       144:{3,4,6,7}:{(108,1),(109,1),(180,1),(183,1),(251,1),(294,1),(313,1)}
       145:{2,4,5,7}:{(109,1),(117,1),(177,1),(183,1),(184,1),(191,1),(246,1)}
       146:{1,3,7}:{(110,1),(111,1),(112,1),(185,1)}
       147:{2,3,4,7}:{(111,1),(113,1),(119,1),(186,1),(187,1),(294,1)}
       148:{2,3,6}:{(112,1),(132,1),(185,1),(188,1)}
       149:{1,3,4,6}:{(112,1),(113,1),(121,1),(133,1),(186,1),(188,1),(189,1),(256,1)}
       150:{2,3,5}:{(113,1),(122,1),(189,1),(302,1)}
       151:{1,3,6,7}:{(114,1),(115,1),(118,1),(190,1),(256,1)}
       152:{2,4,6,7}:{(115,1),(116,1),(119,1),(190,1),(191,1),(194,1)}
       153:{1,3,5,7}:{(116,1),(117,1),(183,1),(191,1),(192,1)}
       154:{1,4,5,6}:{(117,1),(184,1),(192,1),(293,1),(296,1)}
       155:{1,4,7}:{(118,1),(119,1),(121,1)}
       156:{2,4,5,7}:{(119,1),(120,1),(122,1),(187,1),(191,1),(193,1),(194,1),(255,1)}
       157:{1,3,4,6}:{(120,1),(192,1),(194,1),(251,1),(256,1),(296,1),(313,1)}
       158:{1,4,5}:{(121,1),(122,1),(189,1)}
       159:{2,3,4,5}:{(123,1),(195,1),(202,1),(263,1),(298,1)}
       160:{1,3,4,6}:{(123,1),(124,1),(171,1),(195,1),(196,1),(260,1),(262,1)}
       161:{2,5,6}:{(124,1),(172,1),(196,1)}
       162:{1,3,5,6}:{(125,1),(127,1),(173,1),(198,1),(199,1),(260,1),(301,1),(302,1),(312,1),(313,1)}
       163:{1,2,5,6}:{(126,1),(128,1),(178,1),(200,1),(257,1),(266,1),(293,1),(297,1)}
       164:{2,3,5,6}:{(126,1),(127,1),(129,1),(179,1),(200,1),(201,1),(205,1)}
       165:{3,4,6}:{(127,1),(180,1),(201,1),(202,1)}
       166:{1,3,6}:{(128,1),(129,1),(130,1),(203,1),(313,1)}
       167:{2,3,4,6}:{(129,1),(131,1),(201,1),(204,1),(205,1)}
       168:{2,3,5,7}:{(130,1),(132,1),(185,1),(203,1),(206,1),(255,1),(266,1),(288,1),(298,1),(311,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(133,1),(204,1),(206,1),(249,1),(294,1),(299,1)}
       170:{2,4}:{(132,1),(133,1)}
       171:{1,3,4,7}:{(134,1),(135,1),(160,1),(207,1),(267,1),(269,1)}
       172:{2,5,7}:{(135,1),(137,1),(161,1),(207,1)}
       173:{1,3,5,7}:{(136,1),(138,1),(141,1),(162,1),(209,1),(210,1),(267,1),(307,1)}
       174:{1,2,6,7}:{(137,1),(208,1),(211,1),(314,1)}
       175:{2,3,6,7}:{(137,1),(138,1),(209,1),(211,1),(212,1),(305,1),(314,1)}
       176:{1,3,4,6,7}:{(138,1),(139,1),(144,1),(210,1),(212,1),(213,1),(271,1)}
       177:{1,4,5,7}:{(139,1),(145,1),(213,1),(214,1),(226,1)}
       178:{1,2,5,7}:{(140,1),(142,1),(163,1),(215,1),(226,1),(272,1),(277,1)}
       179:{2,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(215,1),(216,1)}
       180:{3,4,7}:{(141,1),(165,1),(216,1)}
       181:{1,3,6,7}:{(142,1),(143,1),(146,1),(166,1),(215,1),(218,1),(267,1)}
       182:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(152,1),(167,1),(212,1),(216,1),(219,1),(220,1),(224,1),(268,1),(276,1),(305,1)}
       183:{3,5,7}:{(144,1),(145,1),(221,1)}
       184:{2,4,5,6}:{(145,1),(154,1),(214,1),(221,1),(227,1),(273,1),(276,1),(308,1)}
       185:{2,3,7}:{(146,1),(148,1),(222,1)}
       186:{1,3,4,7}:{(146,1),(147,1),(149,1),(155,1),(222,1),(223,1)}
       187:{2,3,5,7}:{(147,1),(150,1),(156,1),(223,1),(224,1),(307,1)}
       188:{2,4,6}:{(148,1),(149,1),(170,1),(222,1),(225,1),(279,1)}
       189:{1,3,5}:{(149,1),(150,1),(158,1),(225,1)}
       190:{1,4,6,7}:{(151,1),(152,1),(155,1),(226,1),(228,1)}
       191:{2,5,7}:{(152,1),(153,1),(226,1),(227,1)}
       192:{1,3,5,6}:{(153,1),(154,1),(157,1),(221,1),(227,1)}
       193:{1,4,5,7}:{(155,1),(156,1),(158,1),(223,1),(226,1),(228,1)}
       194:{2,4,6}:{(156,1),(157,1),(224,1),(227,1),(228,1),(279,1)}
       195:{1,3,4,5}:{(159,1),(160,1),(229,1),(280,1),(285,1)}
       196:{2,4,6}:{(160,1),(161,1),(207,1),(229,1),(231,1)}
       197:{1,2,5,6}:{(161,1),(208,1),(230,1),(232,1),(310,1),(314,1)}
       198:{2,3,5,6}:{(161,1),(162,1),(209,1),(231,1),(232,1),(233,1),(273,1),(282,1),(284,1),(305,1),(310,1),(314,1)}
       199:{1,3,4,6}:{(162,1),(165,1),(210,1),(233,1),(234,1),(236,1),(286,1)}
       200:{1,3,5,6}:{(163,1),(164,1),(166,1),(215,1),(235,1),(236,1),(239,1)}
       201:{2,4,6}:{(164,1),(165,1),(216,1),(236,1),(237,1)}
       202:{3,4,5}:{(165,1),(237,1)}
       203:{2,3,6}:{(166,1),(168,1),(238,1),(279,1),(314,1)}
       204:{1,3,4,6}:{(166,1),(167,1),(169,1),(236,1),(238,1),(239,1),(286,1)}
       205:{2,3,5}:{(167,1),(237,1),(239,1)}
       206:{2,4,7}:{(168,1),(169,1),(170,1),(238,1),(309,1)}
       207:{2,4,7}:{(171,1),(172,1),(196,1),(241,1)}
       208:{1,2,5,7}:{(172,1),(174,1),(197,1),(240,1),(242,1),(311,1)}
       209:{2,3,5,7}:{(172,1),(173,1),(175,1),(198,1),(241,1),(242,1),(243,1),(246,1),(288,1),(311,1)}
       210:{1,3,4,7}:{(173,1),(180,1),(199,1),(243,1),(249,1),(294,1)}
       211:{1,3,6,7}:{(174,1),(175,1),(242,1),(245,1),(312,1)}
       212:{2,4,6,7}:{(175,1),(176,1),(243,1),(245,1),(246,1),(292,1)}
       213:{1,3,5,7}:{(176,1),(177,1),(183,1),(246,1),(247,1)}
       214:{1,4,5,6}:{(177,1),(184,1),(247,1),(257,1),(296,1)}
       215:{1,3,5,7}:{(178,1),(179,1),(181,1),(200,1),(248,1),(249,1)}
       216:{2,4,7}:{(179,1),(180,1),(201,1),(249,1)}
       217:{3,4,5,7}:{(180,1),(183,1),(202,1),(250,1),(251,1)}
       218:{2,3,6,7}:{(181,1),(185,1),(203,1),(248,1),(252,1),(288,1),(313,1)}
       219:{1,3,4,6,7}:{(181,1),(182,1),(186,1),(190,1),(204,1),(245,1),(249,1),(252,1),(253,1),(256,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       220:{2,3,5,7}:{(182,1),(183,1),(191,1),(205,1),(246,1),(250,1),(253,1),(254,1)}
       221:{3,5,6}:{(183,1),(184,1),(251,1),(313,1)}
       222:{2,4,7}:{(185,1),(186,1),(188,1),(255,1)}
       223:{1,3,5,7}:{(186,1),(187,1),(189,1),(193,1),(255,1),(256,1)}
       224:{2,3,6}:{(187,1),(194,1),(256,1),(313,1)}
       225:{2,5}:{(188,1),(189,1)}
       226:{1,5,7}:{(190,1),(191,1),(257,1)}
       227:{2,5,6}:{(191,1),(192,1),(194,1),(257,1)}
       228:{1,4,6}:{(193,1),(194,1),(256,1),(257,1)}
       229:{2,4,5}:{(195,1),(196,1),(259,1)}
       230:{1,2,4,6}:{(196,1),(197,1),(240,1),(258,1),(260,1),(262,1),(300,1)}
       231:{2,3,6}:{(196,1),(241,1),(259,1),(260,1)}
       232:{1,3,5,6}:{(197,1),(198,1),(242,1),(260,1),(262,1),(293,1),(301,1),(312,1)}
       233:{2,4,6}:{(198,1),(199,1),(243,1),(262,1),(263,1)}
       234:{1,3,4,5}:{(199,1),(202,1),(263,1),(265,1),(301,1),(302,1)}
       235:{2,3,5,6}:{(200,1),(203,1),(248,1),(264,1),(266,1),(297,1),(302,1),(313,1)}
       236:{1,4,6}:{(200,1),(201,1),(249,1),(264,1),(265,1)}
       237:{2,4,5}:{(201,1),(202,1),(205,1),(265,1)}
       238:{2,4,6}:{(203,1),(204,1),(206,1),(266,1)}
       239:{1,3,5}:{(204,1),(205,1),(265,1),(266,1),(302,1)}
       240:{1,2,4,7}:{(207,1),(208,1),(230,1),(267,1),(269,1),(303,1)}
       241:{2,3,7}:{(207,1),(231,1),(267,1)}
       242:{1,3,5,7}:{(208,1),(209,1),(211,1),(232,1),(267,1),(269,1),(272,1)}
       243:{2,4,7}:{(209,1),(210,1),(233,1),(269,1)}
       244:{1,3,4,5,7}:{(210,1),(213,1),(217,1),(234,1),(270,1),(271,1),(275,1),(304,1),(307,1)}
       245:{1,4,6,7}:{(211,1),(212,1),(269,1),(272,1),(306,1)}
       246:{2,5,7}:{(212,1),(213,1),(272,1),(273,1)}
       247:{1,3,5,6}:{(213,1),(214,1),(221,1),(271,1),(273,1)}
       248:{2,3,5,7}:{(215,1),(218,1),(235,1),(274,1),(277,1),(307,1)}
       249:{1,4,7}:{(215,1),(216,1),(236,1),(274,1)}
       250:{2,4,5,7}:{(216,1),(217,1),(220,1),(237,1),(275,1),(276,1)}
       251:{3,4,6}:{(217,1),(221,1),(276,1)}
       252:{2,4,6,7}:{(218,1),(219,1),(222,1),(238,1),(274,1),(277,1),(279,1),(303,1),(308,1),(314,1)}
       253:{1,3,5,7}:{(219,1),(220,1),(226,1),(239,1),(272,1),(275,1),(277,1),(278,1),(307,1)}
       254:{2,3,5,6}:{(220,1),(221,1),(224,1),(227,1),(273,1),(276,1),(278,1),(305,1)}
       255:{2,5,7}:{(222,1),(223,1),(225,1),(279,1)}
       256:{1,3,6}:{(223,1),(224,1),(228,1),(279,1)}
       257:{1,5,6}:{(226,1),(227,1),(228,1)}
       258:{1,2,4,5}:{(229,1),(230,1),(280,1),(285,1),(309,1),(310,1)}
       259:{2,3,5}:{(229,1),(231,1),(280,1),(281,1)}
       260:{1,3,6}:{(230,1),(231,1),(267,1),(280,1),(282,1)}
       261:{2,3,4,6}:{(231,1),(233,1),(268,1),(281,1),(283,1),(284,1),(286,1),(305,1)}
       262:{1,4,6}:{(232,1),(233,1),(269,1),(285,1)}
       263:{2,4,5}:{(233,1),(234,1),(284,1),(285,1),(310,1)}
       264:{2,4,6}:{(235,1),(236,1),(274,1),(286,1),(287,1)}
       265:{1,4,5}:{(236,1),(237,1),(239,1),(287,1)}
       266:{2,5}:{(238,1),(239,1)}
       267:{1,3,7}:{(240,1),(241,1),(260,1),(288,1)}
       268:{2,3,4,7}:{(241,1),(243,1),(261,1),(289,1),(290,1),(294,1)}
       269:{1,4,7}:{(242,1),(243,1),(262,1)}
       270:{2,4,5,7}:{(243,1),(244,1),(246,1),(263,1),(290,1),(291,1),(292,1),(311,1)}
       271:{1,3,4,6}:{(244,1),(247,1),(251,1),(292,1),(296,1),(312,1),(313,1)}
       272:{1,5,7}:{(245,1),(246,1),(293,1)}
       273:{2,5,6}:{(246,1),(247,1),(292,1),(293,1)}
       274:{2,4,7}:{(248,1),(249,1),(264,1),(294,1)}
       275:{1,4,5,7}:{(249,1),(250,1),(253,1),(265,1),(295,1),(296,1)}
       276:{2,4,6}:{(250,1),(251,1),(254,1),(296,1)}
       277:{2,5,7}:{(252,1),(253,1),(266,1),(297,1)}
       278:{1,3,5,6}:{(253,1),(254,1),(256,1),(257,1),(293,1),(296,1),(297,1),(312,1),(313,1)}
       279:{2,6}:{(255,1),(256,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(298,1),(299,1)}
       281:{2,3,4}:{(259,1),(299,1)}
       282:{2,3,6}:{(260,1),(288,1),(298,1),(300,1)}
       283:{1,3,4,6}:{(260,1),(261,1),(262,1),(289,1),(299,1),(300,1),(301,1),(312,1)}
       284:{2,3,5}:{(261,1),(263,1),(301,1),(302,1)}
       285:{1,4,5}:{(262,1),(263,1),(301,1)}
       286:{3,4,6}:{(264,1),(294,1),(302,1),(313,1)}
       287:{2,4,5}:{(264,1),(265,1),(266,1),(302,1)}
       288:{2,3,7}:{(267,1),(282,1),(303,1)}
       289:{1,3,4,7}:{(267,1),(268,1),(269,1),(283,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(268,1),(270,1),(284,1),(304,1),(305,1),(307,1)}
       291:{1,4,5,7}:{(269,1),(270,1),(272,1),(285,1),(304,1),(306,1)}
       292:{2,4,6}:{(270,1),(271,1),(273,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(272,1),(273,1),(306,1)}
       294:{3,4,7}:{(274,1),(286,1),(307,1)}
       295:{2,4,5,7}:{(274,1),(275,1),(277,1),(287,1),(307,1),(308,1)}
       296:{1,4,6}:{(275,1),(276,1),(278,1),(308,1)}
       297:{2,5,6}:{(277,1),(278,1),(279,1),(308,1),(314,1)}
       298:{2,3,5}:{(280,1),(282,1),(309,1),(310,1)}
       299:{1,3,4}:{(280,1),(281,1),(309,1)}
       300:{2,4,6}:{(282,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       301:{1,3,5}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,4,7}:{(288,1),(289,1),(300,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(301,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{3,5,7}:{(294,1),(295,1),(302,1),(313,1)}
       308:{2,4,6}:{(295,1),(296,1),(297,1),(313,1)}
       309:{2,4}:{(298,1),(299,1)}
       310:{2,5}:{(300,1),(301,1)}
       311:{2,5,7}:{(303,1),(304,1),(310,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(307,1),(308,1)}
       314:{2,6}:{(311,1),(312,1)}

1463 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1464 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(28,1),(31,1),(40,1),(42,1),(87,1),(94,1),(95,1),(151,1),(175,1),(217,1),(222,1),(228,1),(270,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(75,1),(145,1),(217,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(45,1),(48,1),(53,1),(60,1),(71,1),(116,1),(179,1),(184,1),(185,1),(197,1),(198,1),(242,1),(245,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(188,1),(245,1),(248,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(55,1),(59,1),(64,1),(66,1),(124,1),(199,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(245,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(110,1),(183,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(73,1),(80,1),(87,1),(92,1),(144,1),(153,1),(154,1),(167,1),(213,1),(217,1),(228,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(27,1),(28,1),(29,1),(31,1),(76,1),(80,1),(87,1),(94,1),(147,1),(153,1),(161,1),(217,1),(228,1)}
        12:{1,3,4,6}:{(3,1),(29,1),(30,1),(37,1),(88,1),(100,1),(163,1),(164,1),(211,1),(230,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(270,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(87,1),(94,1),(158,1),(227,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(230,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(90,1),(94,1),(162,1),(222,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(145,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,4,6,7}:{(12,1),(44,1),(45,1),(47,1),(108,1),(113,1),(184,1),(185,1),(245,1)}
        24:{1,3,5,6,7}:{(17,1),(45,1),(46,1),(47,1),(113,1),(176,1)}
        25:{1,3,5,7}:{(10,1),(48,1),(49,1),(50,1),(116,1),(129,1),(202,1),(242,1),(245,1),(254,1)}
        26:{1,2,4,6}:{(10,1),(50,1),(51,1),(55,1),(115,1),(120,1),(124,1),(199,1),(240,1),(306,1)}
        27:{2,3,5,7}:{(11,1),(52,1),(53,1),(54,1),(71,1),(123,1),(139,1),(242,1),(245,1),(254,1),(283,1)}
        28:{1,4,5,7}:{(11,1),(53,1),(55,1),(58,1),(110,1),(114,1),(131,1),(184,1),(190,1),(197,1)}
        29:{2,4,6}:{(11,1),(12,1),(54,1),(55,1),(56,1),(124,1)}
        30:{1,3,5,6}:{(12,1),(45,1),(56,1),(57,1),(60,1),(116,1),(128,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(124,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(248,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(183,1),(208,1),(245,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(26,1),(72,1),(73,1),(75,1),(140,1),(144,1),(145,1),(217,1)}
        44:{2,4,6,7}:{(23,1),(29,1),(74,1),(75,1),(76,1),(145,1),(147,1),(217,1)}
        45:{1,3,5,7}:{(23,1),(30,1),(76,1),(77,1),(149,1)}
        46:{2,5,6,7}:{(24,1),(36,1),(76,1),(78,1),(79,1),(210,1)}
        47:{1,4,6,7}:{(24,1),(37,1),(77,1),(79,1),(211,1),(220,1)}
        48:{1,3,4,7}:{(25,1),(80,1),(81,1),(144,1),(216,1),(233,1),(275,1)}
        49:{2,3,5,7}:{(25,1),(80,1),(82,1),(83,1),(87,1),(153,1),(158,1),(227,1)}
        50:{1,3,6}:{(25,1),(26,1),(83,1),(230,1),(264,1)}
        51:{1,2,5,6}:{(26,1),(73,1),(84,1),(90,1),(153,1),(162,1),(167,1),(210,1),(302,1)}
        52:{2,3,4,7}:{(27,1),(31,1),(80,1),(85,1),(86,1),(103,1),(147,1),(158,1),(174,1),(216,1),(267,1),(268,1),(275,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(85,1),(87,1),(88,1),(160,1),(175,1),(297,1)}
        54:{2,3,6}:{(27,1),(29,1),(88,1),(100,1),(172,1),(230,1),(264,1),(296,1)}
        55:{1,4,6}:{(28,1),(29,1),(88,1),(90,1)}
        56:{2,5,6}:{(29,1),(30,1),(76,1),(90,1),(94,1),(153,1)}
        57:{1,4,5,6}:{(30,1),(37,1),(77,1),(91,1),(95,1),(154,1),(163,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(87,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(162,1),(169,1),(172,1),(227,1),(230,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(270,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(145,1),(172,1),(220,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(50,1),(106,1),(107,1),(245,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(51,1),(107,1),(110,1),(178,1),(183,1),(307,1)}
        74:{2,3,6,7}:{(44,1),(54,1),(108,1),(109,1),(113,1),(187,1),(245,1)}
        75:{1,4,6,7}:{(44,1),(55,1),(108,1),(110,1),(184,1)}
        76:{2,5,7}:{(44,1),(45,1),(56,1),(110,1)}
        77:{1,4,5,7}:{(45,1),(47,1),(57,1),(111,1),(184,1),(247,1)}
        78:{1,5,6,7}:{(46,1),(65,1),(110,1),(112,1),(239,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(66,1),(111,1),(112,1),(113,1),(187,1),(240,1)}
        80:{2,4,7}:{(48,1),(49,1),(114,1),(115,1),(253,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(115,1),(116,1),(120,1),(194,1)}
        82:{1,3,5,7}:{(49,1),(114,1),(117,1),(118,1),(188,1),(190,1),(248,1)}
        83:{2,3,6}:{(49,1),(50,1),(115,1),(118,1),(124,1)}
        84:{1,3,5,6}:{(50,1),(51,1),(107,1),(116,1),(119,1),(120,1),(202,1),(289,1),(290,1),(306,1)}
        85:{1,3,4,7}:{(52,1),(53,1),(58,1),(114,1),(121,1),(122,1),(129,1),(184,1),(188,1),(209,1),(245,1),(285,1),(286,1)}
        86:{2,3,4,6}:{(52,1),(54,1),(59,1),(115,1),(122,1),(123,1),(126,1),(135,1),(194,1),(195,1),(206,1),(252,1),(253,1),(256,1),(291,1)}
        87:{2,5,7}:{(53,1),(121,1),(124,1),(196,1)}
        88:{1,3,6}:{(53,1),(54,1),(55,1),(124,1),(207,1),(306,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(109,1),(123,1),(125,1),(126,1),(128,1),(201,1),(256,1)}
        90:{1,5,6}:{(55,1),(56,1),(110,1),(131,1),(190,1)}
        91:{2,4,5,6}:{(56,1),(57,1),(66,1),(111,1),(126,1),(127,1),(128,1),(132,1),(191,1),(199,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(121,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(124,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(183,1),(247,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(245,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(81,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(83,1),(140,1),(142,1),(143,1),(145,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(84,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,3,6,7}:{(74,1),(75,1),(88,1),(145,1),(146,1),(220,1)}
       109:{2,3,5,7}:{(74,1),(76,1),(89,1),(146,1),(147,1),(149,1),(219,1),(268,1)}
       110:{1,5,7}:{(75,1),(76,1),(90,1)}
       111:{2,4,5,7}:{(76,1),(77,1),(79,1),(91,1),(147,1),(148,1),(149,1),(217,1),(219,1)}
       112:{1,4,6,7}:{(78,1),(79,1),(99,1),(148,1),(150,1),(263,1)}
       113:{3,6,7}:{(79,1),(100,1),(149,1),(264,1)}
       114:{1,4,7}:{(80,1),(82,1),(152,1),(270,1)}
       115:{2,4,6}:{(80,1),(81,1),(83,1),(152,1),(153,1)}
       116:{1,3,5}:{(81,1),(153,1),(154,1),(224,1)}
       117:{1,2,5,7}:{(82,1),(87,1),(151,1),(155,1),(175,1),(222,1)}
       118:{1,3,6}:{(82,1),(83,1),(152,1),(155,1)}
       119:{2,3,5,6}:{(83,1),(84,1),(143,1),(153,1),(156,1),(157,1),(162,1),(210,1),(224,1),(227,1),(230,1),(264,1),(272,1),(273,1),(296,1)}
       120:{1,4,6}:{(84,1),(144,1),(154,1),(157,1),(233,1)}
       121:{2,4,7}:{(85,1),(87,1),(158,1),(159,1),(299,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(152,1),(159,1),(160,1),(163,1),(166,1),(221,1),(230,1),(233,1),(237,1),(270,1),(274,1),(275,1),(278,1),(303,1)}
       123:{2,3,5}:{(86,1),(94,1),(153,1),(160,1),(161,1),(169,1),(224,1),(235,1),(272,1)}
       124:{2,6}:{(87,1),(88,1)}
       125:{1,3,5,6}:{(88,1),(89,1),(90,1),(146,1),(160,1),(162,1),(163,1),(230,1),(232,1),(278,1)}
       126:{2,4,6}:{(89,1),(147,1),(161,1),(163,1),(164,1)}
       127:{1,4,5,6}:{(90,1),(91,1),(99,1),(148,1),(163,1),(165,1),(168,1),(223,1),(263,1)}
       128:{3,5,6}:{(91,1),(100,1),(149,1),(164,1),(169,1),(224,1),(230,1),(264,1)}
       129:{1,3,7}:{(92,1),(158,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(159,1),(166,1),(167,1),(233,1),(274,1),(302,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(162,1),(167,1),(170,1),(172,1),(232,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(230,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(217,1),(269,1),(299,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(115,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(116,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(118,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(119,1),(178,1),(181,1),(182,1),(183,1),(242,1),(245,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(120,1),(182,1)}
       145:{2,6,7}:{(108,1),(124,1),(183,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(125,1),(183,1),(184,1),(245,1),(247,1),(286,1)}
       147:{2,4,7}:{(109,1),(126,1),(184,1),(185,1)}
       148:{1,4,5,7}:{(110,1),(111,1),(112,1),(127,1),(184,1),(186,1)}
       149:{3,5,7}:{(111,1),(113,1),(128,1),(185,1),(245,1)}
       150:{1,3,6,7}:{(112,1),(113,1),(136,1),(186,1),(187,1),(282,1)}
       151:{1,2,4,7}:{(114,1),(117,1),(121,1),(188,1),(189,1),(209,1),(262,1)}
       152:{1,4,6}:{(114,1),(115,1),(118,1),(190,1)}
       153:{2,5}:{(115,1),(116,1),(190,1)}
       154:{1,4,5}:{(116,1),(120,1),(191,1),(289,1)}
       155:{1,2,6}:{(117,1),(118,1),(124,1),(207,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(181,1),(190,1),(192,1),(193,1),(239,1),(248,1),(250,1),(251,1),(282,1)}
       157:{2,4,6}:{(119,1),(120,1),(182,1),(191,1),(193,1),(194,1),(253,1)}
       158:{2,3,7}:{(121,1),(129,1),(188,1),(195,1),(245,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(195,1),(196,1),(253,1),(293,1),(310,1)}
       160:{1,3,5}:{(122,1),(123,1),(131,1),(190,1),(196,1),(197,1),(254,1),(260,1),(289,1)}
       161:{2,4,5}:{(123,1),(126,1),(197,1),(198,1),(253,1)}
       162:{2,5,6}:{(124,1),(125,1),(183,1),(196,1),(199,1),(293,1)}
       163:{1,4,6}:{(125,1),(126,1),(184,1),(197,1),(199,1)}
       164:{3,4,6}:{(126,1),(128,1),(185,1),(198,1)}
       165:{1,3,5,6}:{(127,1),(128,1),(136,1),(186,1),(200,1),(201,1),(204,1),(250,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(195,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(196,1),(202,1),(289,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(199,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(245,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(152,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(153,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(154,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(145,1),(155,1),(214,1),(220,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(156,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(157,1),(215,1),(216,1)}
       183:{2,5,7}:{(145,1),(146,1),(162,1),(217,1),(299,1)}
       184:{1,4,7}:{(146,1),(147,1),(163,1),(217,1)}
       185:{3,4,7}:{(147,1),(149,1),(164,1)}
       186:{1,3,5,7}:{(148,1),(149,1),(150,1),(165,1),(218,1),(219,1)}
       187:{2,6,7}:{(150,1),(172,1),(219,1),(220,1),(296,1)}
       188:{1,3,7}:{(151,1),(158,1),(221,1)}
       189:{1,2,4,6}:{(151,1),(152,1),(155,1),(159,1),(221,1),(222,1),(237,1),(270,1),(281,1),(305,1)}
       190:{1,5}:{(152,1),(153,1)}
       191:{2,4,5}:{(153,1),(154,1),(157,1),(223,1),(224,1),(272,1)}
       192:{1,2,5,6}:{(155,1),(156,1),(162,1),(214,1),(222,1),(225,1),(232,1),(272,1),(296,1)}
       193:{1,4,6}:{(156,1),(157,1),(215,1),(223,1),(270,1)}
       194:{3,4,6}:{(157,1),(216,1),(224,1),(230,1),(264,1),(275,1)}
       195:{2,3,6}:{(158,1),(159,1),(166,1),(221,1),(227,1),(230,1),(313,1)}
       196:{2,5}:{(159,1),(160,1)}
       197:{1,4,5}:{(160,1),(161,1),(163,1),(228,1),(233,1),(270,1)}
       198:{3,4,5}:{(161,1),(164,1),(169,1),(224,1),(275,1)}
       199:{2,4,6}:{(162,1),(163,1),(217,1),(228,1),(230,1)}
       200:{1,3,4,6}:{(163,1),(164,1),(165,1),(218,1),(229,1),(230,1),(231,1),(278,1)}
       201:{2,5,6}:{(165,1),(172,1),(219,1),(231,1),(232,1),(235,1),(272,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(227,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(228,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(230,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(299,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(190,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(191,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(183,1),(192,1),(243,1),(247,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(193,1)}
       216:{3,4,7}:{(182,1),(194,1),(242,1),(245,1)}
       217:{2,4,7}:{(183,1),(184,1),(199,1),(245,1)}
       218:{1,3,4,7}:{(184,1),(185,1),(186,1),(200,1),(245,1),(246,1),(286,1)}
       219:{2,5,7}:{(186,1),(187,1),(201,1),(246,1),(247,1)}
       220:{1,6,7}:{(187,1),(207,1),(247,1),(306,1)}
       221:{1,3,6}:{(188,1),(189,1),(195,1),(248,1),(311,1)}
       222:{1,2,5}:{(189,1),(190,1),(196,1),(248,1),(260,1)}
       223:{1,4,5}:{(190,1),(191,1),(193,1),(250,1)}
       224:{3,5}:{(191,1),(194,1)}
       225:{1,2,4,6}:{(192,1),(193,1),(199,1),(243,1),(249,1),(251,1),(252,1),(257,1),(293,1)}
       226:{1,3,4,6}:{(193,1),(194,1),(244,1),(250,1),(251,1),(252,1),(282,1),(287,1)}
       227:{2,3,5}:{(195,1),(196,1),(202,1),(248,1),(253,1),(254,1)}
       228:{2,4,5}:{(196,1),(197,1),(199,1),(253,1),(254,1)}
       229:{1,3,4,5}:{(197,1),(198,1),(200,1),(204,1),(250,1),(254,1),(255,1),(258,1),(287,1),(292,1)}
       230:{3,6}:{(199,1),(245,1),(254,1)}
       231:{2,4,6}:{(200,1),(201,1),(246,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,5,6}:{(201,1),(207,1),(247,1),(257,1),(260,1),(289,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(224,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(217,1),(225,1),(266,1),(267,1),(269,1),(299,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(226,1),(265,1),(266,1),(267,1)}
       245:{3,7}:{(217,1),(230,1)}
       246:{2,4,7}:{(218,1),(219,1),(231,1),(268,1),(269,1),(299,1)}
       247:{1,5,7}:{(219,1),(220,1),(232,1),(269,1)}
       248:{1,3,5}:{(221,1),(222,1),(227,1),(270,1)}
       249:{1,2,4,5}:{(222,1),(223,1),(225,1),(228,1),(270,1),(271,1),(272,1),(277,1),(300,1),(304,1),(305,1)}
       250:{1,3,5}:{(223,1),(224,1),(226,1),(272,1)}
       251:{1,3,6}:{(225,1),(230,1),(266,1),(271,1),(273,1)}
       252:{2,4,6}:{(226,1),(267,1),(272,1),(273,1),(274,1),(296,1),(300,1)}
       253:{2,4}:{(227,1),(233,1),(270,1),(275,1)}
       254:{3,5}:{(228,1),(230,1),(275,1)}
       255:{2,4,5}:{(229,1),(231,1),(235,1),(272,1),(276,1),(277,1),(279,1),(300,1),(304,1)}
       256:{2,3,6}:{(230,1),(231,1),(268,1),(276,1),(278,1)}
       257:{1,4,6}:{(231,1),(232,1),(269,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(299,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(250,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(245,1),(251,1),(284,1)}
       267:{2,4,7}:{(244,1),(252,1),(283,1),(284,1),(285,1)}
       268:{2,3,7}:{(245,1),(246,1),(256,1),(286,1)}
       269:{1,4,7}:{(246,1),(247,1),(257,1),(286,1)}
       270:{1,4}:{(248,1),(253,1)}
       271:{1,3,5}:{(249,1),(251,1),(254,1),(287,1),(288,1),(311,1)}
       272:{2,5}:{(250,1),(252,1),(289,1)}
       273:{2,3,6}:{(251,1),(252,1),(284,1),(288,1),(290,1),(293,1)}
       274:{1,4,6}:{(252,1),(285,1),(289,1),(290,1),(306,1),(308,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(289,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(286,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(272,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(273,1),(298,1),(299,1)}
       285:{1,4,7}:{(267,1),(274,1),(297,1),(298,1)}
       286:{1,3,7}:{(268,1),(269,1),(278,1),(299,1)}
       287:{1,3,4}:{(270,1),(271,1),(275,1),(300,1)}
       288:{2,3,5}:{(271,1),(272,1),(273,1),(300,1),(301,1),(304,1),(313,1)}
       289:{1,5}:{(272,1),(274,1)}
       290:{1,3,6}:{(273,1),(274,1),(298,1),(301,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(300,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(299,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(289,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(290,1),(307,1)}
       299:{2,7}:{(286,1),(293,1)}
       300:{2,4}:{(287,1),(288,1),(308,1)}
       301:{1,3,5}:{(288,1),(289,1),(290,1),(308,1),(309,1),(314,1)}
       302:{1,2,6}:{(290,1),(293,1),(307,1),(309,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(299,1),(302,1)}
       308:{1,4}:{(300,1),(301,1)}
       309:{1,2,5}:{(301,1),(302,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1465 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(67,1),(147,1),(237,1),(256,1),(258,1),(366,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(314,1),(415,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(103,1),(414,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(146,1),(256,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(147,1),(280,1),(351,1),(367,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(459,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(258,1),(365,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(104,1),(206,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(314,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(201,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(99,1),(118,1),(120,1),(185,1),(203,1),(317,1),(322,1),(414,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(263,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(254,1),(281,1),(367,1),(390,1),(392,1),(459,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(256,1),(375,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(258,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(143,1),(168,1),(169,1),(242,1),(260,1),(371,1),(376,1),(459,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(414,1),(422,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(204,1),(224,1),(231,1),(321,1),(339,1),(342,1),(423,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(185,1),(206,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(312,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(314,1),(425,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(195,1),(301,1),(407,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(72,1),(84,1),(139,1),(160,1),(162,1),(241,1),(248,1),(250,1),(271,1)}
        41:{1,3,4,5,6}:{(27,1),(65,1),(66,1),(79,1),(136,1),(246,1),(266,1),(268,1),(360,1),(375,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(70,1),(151,1),(238,1),(372,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(456,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(459,1),(466,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(261,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(242,1),(263,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(365,1),(459,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(252,1),(357,1),(371,1),(476,1)}
        63:{1,2,3,5,7}:{(40,1),(96,1),(97,1),(125,1),(190,1),(192,1),(215,1),(300,1),(329,1)}
        64:{1,2,4,6}:{(40,1),(44,1),(95,1),(97,1),(98,1),(297,1),(328,1)}
        65:{2,4,5,6}:{(41,1),(47,1),(94,1),(99,1),(100,1),(118,1),(185,1),(297,1),(402,1)}
        66:{1,3,4,5,7}:{(41,1),(49,1),(100,1),(101,1),(121,1),(186,1),(305,1),(325,1),(326,1),(410,1),(425,1)}
        67:{1,2,3,5}:{(93,1),(103,1),(182,1),(199,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(107,1),(111,1),(199,1),(288,1)}
        69:{2,3,4,5,7}:{(42,1),(46,1),(106,1),(108,1),(109,1),(129,1),(205,1),(212,1),(228,1),(296,1),(319,1),(404,1),(421,1),(423,1),(479,1),(501,1)}
        70:{2,3,4,6}:{(42,1),(47,1),(94,1),(107,1),(109,1),(206,1),(297,1),(422,1)}
        71:{1,3,4}:{(44,1),(104,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(491,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(105,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(540,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(185,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(319,1),(423,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(301,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(415,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(256,1)}
        94:{2,3,5,6}:{(65,1),(70,1),(136,1),(137,1),(375,1)}
        95:{1,3,4,6}:{(64,1),(71,1),(135,1),(138,1),(139,1),(160,1),(248,1)}
        96:{1,2,3,6,7}:{(63,1),(72,1),(140,1),(173,1),(248,1),(272,1),(356,1),(443,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(138,1),(353,1),(382,1)}
        98:{1,2,4,5}:{(64,1),(139,1),(162,1),(238,1),(270,1)}
        99:{1,4,5,6}:{(65,1),(76,1),(136,1),(143,1),(165,1),(344,1),(438,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(78,1),(137,1),(143,1),(144,1),(168,1),(242,1),(353,1),(449,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(358,1),(359,1),(452,1)}
       102:{1,2,3,5,7}:{(67,1),(133,1),(147,1),(148,1),(236,1),(255,1),(258,1),(280,1),(379,1),(389,1)}
       103:{1,2,4}:{(67,1),(146,1)}
       104:{2,3,4}:{(71,1),(146,1),(151,1)}
       105:{2,4,5}:{(68,1),(151,1),(153,1)}
       106:{1,3,4,5,7}:{(68,1),(69,1),(75,1),(152,1),(154,1),(155,1),(159,1),(255,1),(267,1),(270,1),(285,1),(343,1),(365,1),(372,1),(382,1),(459,1),(464,1),(466,1),(510,1),(526,1)}
       107:{1,3,4,6}:{(68,1),(70,1),(76,1),(136,1),(153,1),(155,1),(160,1),(256,1),(344,1)}
       108:{2,3,4,6}:{(69,1),(77,1),(154,1),(156,1),(177,1),(262,1),(286,1),(352,1),(373,1),(450,1),(511,1)}
       109:{2,3,4,7}:{(70,1),(78,1),(137,1),(155,1),(263,1),(353,1),(466,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(150,1),(158,1),(159,1),(382,1),(518,1)}
       111:{1,3,5}:{(71,1),(74,1),(151,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(456,1),(522,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(152,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(519,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(153,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(242,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(372,1),(466,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(357,1),(374,1),(388,1),(391,1),(452,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(459,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(314,1)}
       134:{1,2,4,6}:{(93,1),(103,1),(179,1),(181,1),(182,1),(294,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(206,1),(297,1),(299,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(107,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(109,1),(186,1),(187,1),(425,1)}
       138:{1,3,4,7}:{(95,1),(97,1),(183,1),(190,1),(215,1)}
       139:{1,3,5}:{(95,1),(98,1),(184,1)}
       140:{1,2,4,6,7}:{(96,1),(97,1),(113,1),(189,1),(192,1),(193,1),(403,1),(482,1),(534,1)}
       141:{1,2,4,5,7}:{(97,1),(98,1),(190,1),(192,1),(193,1),(296,1),(306,1)}
       142:{1,2,4,5,6}:{(98,1),(99,1),(115,1),(185,1),(191,1),(193,1),(194,1),(218,1),(297,1),(322,1),(328,1),(402,1),(409,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(117,1),(186,1),(195,1),(221,1),(394,1),(478,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(301,1)}
       145:{1,3,5,6,7}:{(101,1),(121,1),(196,1),(197,1),(311,1),(410,1)}
       146:{1,3,4}:{(103,1),(104,1),(199,1)}
       147:{1,2,3,6}:{(102,1),(201,1),(294,1),(313,1),(436,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(198,1),(201,1),(428,1)}
       149:{1,2,4,5}:{(103,1),(105,1),(182,1),(199,1),(203,1),(288,1)}
       150:{2,3,4,7}:{(104,1),(110,1),(198,1),(204,1),(205,1),(423,1),(498,1)}
       151:{2,3,5}:{(104,1),(105,1),(111,1),(199,1),(206,1)}
       152:{2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(319,1),(323,1),(423,1),(499,1),(542,1)}
       153:{2,4,6}:{(105,1),(107,1),(185,1),(206,1),(208,1)}
       154:{1,3,4,6}:{(106,1),(108,1),(116,1),(207,1),(209,1),(214,1),(313,1),(328,1),(341,1),(393,1),(414,1),(422,1),(532,1)}
       155:{1,3,4,7}:{(107,1),(109,1),(117,1),(186,1),(208,1),(215,1),(314,1),(394,1)}
       156:{2,3,5,6}:{(108,1),(118,1),(209,1),(211,1),(212,1),(222,1),(335,1),(402,1),(486,1),(530,1)}
       157:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(187,1),(210,1),(212,1),(231,1),(303,1),(321,1),(342,1),(403,1),(423,1),(488,1),(489,1),(501,1),(533,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(204,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(205,1),(213,1),(214,1),(215,1),(537,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(206,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(491,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(207,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(208,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(301,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(423,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(146,1),(232,1),(233,1),(256,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(147,1),(234,1),(235,1),(367,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{2,3,4,7}:{(135,1),(138,1),(232,1),(240,1),(263,1),(353,1)}
       184:{2,3,5}:{(135,1),(139,1),(233,1),(238,1)}
       185:{2,5,6}:{(136,1),(153,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(155,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(452,1)}
       188:{1,3,4,5}:{(139,1),(238,1),(246,1),(270,1),(372,1)}
       189:{1,3,4,6,7}:{(138,1),(140,1),(158,1),(239,1),(247,1),(248,1),(272,1),(362,1),(382,1),(444,1),(514,1),(546,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,5,6}:{(139,1),(142,1),(160,1),(241,1),(246,1),(248,1),(249,1),(375,1)}
       192:{1,2,5,7}:{(140,1),(162,1),(247,1),(250,1),(449,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(250,1),(352,1),(362,1)}
       194:{1,2,4,5,7}:{(142,1),(143,1),(164,1),(242,1),(249,1),(251,1),(276,1),(353,1),(376,1),(382,1),(449,1),(454,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(168,1),(252,1),(449,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(358,1),(454,1),(455,1)}
       198:{1,3,4,7}:{(146,1),(148,1),(150,1),(254,1),(255,1),(459,1),(470,1)}
       199:{1,3,5}:{(146,1),(149,1),(151,1),(256,1)}
       200:{1,2,3,5,6}:{(147,1),(234,1),(257,1),(258,1),(350,1),(366,1),(369,1),(379,1),(446,1),(462,1),(474,1),(528,1)}
       201:{1,2,4,6}:{(147,1),(148,1),(254,1),(258,1)}
       202:{1,2,4,5,7}:{(148,1),(149,1),(152,1),(236,1),(255,1),(258,1),(259,1),(260,1),(285,1),(343,1),(365,1),(371,1),(389,1),(459,1),(471,1),(529,1)}
       203:{1,2,4,6}:{(149,1),(153,1),(237,1),(256,1),(260,1),(344,1)}
       204:{2,3,4,6}:{(150,1),(158,1),(254,1),(261,1),(262,1),(373,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(152,1),(159,1),(255,1),(261,1),(262,1),(263,1),(524,1),(550,1)}
       206:{2,3,6}:{(151,1),(153,1),(160,1),(256,1),(263,1)}
       207:{2,4,6}:{(152,1),(154,1),(262,1),(264,1)}
       208:{2,4,7}:{(153,1),(155,1),(242,1),(263,1)}
       209:{1,3,5,6}:{(154,1),(156,1),(165,1),(264,1),(266,1),(267,1),(375,1),(387,1),(438,1),(544,1)}
       210:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(166,1),(243,1),(265,1),(267,1),(272,1),(358,1),(367,1),(382,1),(392,1),(439,1),(452,1),(459,1),(466,1),(517,1),(526,1),(546,1)}
       211:{2,4,5,6}:{(156,1),(266,1),(268,1),(269,1),(373,1)}
       212:{2,3,5,7}:{(156,1),(157,1),(168,1),(267,1),(269,1),(279,1),(388,1),(449,1),(516,1),(545,1)}
       213:{1,3,5}:{(158,1),(162,1),(261,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(262,1)}
       215:{1,3,7}:{(160,1),(164,1),(263,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(518,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(264,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(265,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(357,1),(388,1),(455,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(452,1),(466,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(183,1),(290,1),(314,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(184,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(200,1),(292,1),(293,1),(399,1),(415,1),(497,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(201,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(185,1),(203,1),(291,1),(294,1),(295,1)}
       238:{2,4,5}:{(184,1),(188,1),(288,1),(297,1)}
       239:{2,3,4,6,7}:{(183,1),(189,1),(204,1),(289,1),(298,1),(299,1),(321,1),(398,1),(403,1),(405,1),(423,1),(484,1),(488,1),(533,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(290,1),(296,1),(299,1)}
       241:{2,3,5,6}:{(184,1),(185,1),(191,1),(206,1),(291,1),(297,1),(299,1),(300,1),(402,1)}
       242:{2,5,7}:{(185,1),(186,1),(208,1),(301,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(301,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(212,1),(302,1),(303,1),(311,1),(412,1),(489,1)}
       245:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(304,1),(305,1),(306,1),(404,1),(410,1)}
       246:{1,3,4,6}:{(188,1),(191,1),(297,1),(305,1),(328,1),(422,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(298,1),(306,1),(307,1),(551,1)}
       248:{1,3,6}:{(190,1),(193,1),(299,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(300,1),(305,1),(308,1),(425,1)}
       250:{1,2,5,6}:{(192,1),(193,1),(307,1),(402,1),(534,1)}
       251:{1,2,4,6,7}:{(193,1),(194,1),(195,1),(301,1),(308,1),(309,1),(403,1),(407,1),(411,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(221,1),(478,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(223,1),(303,1),(310,1),(311,1),(407,1),(412,1),(487,1)}
       254:{1,3,4,6}:{(198,1),(201,1),(204,1),(312,1),(313,1),(414,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(202,1),(205,1),(312,1),(313,1),(314,1),(504,1),(543,1)}
       256:{1,3,6}:{(199,1),(203,1),(206,1),(314,1)}
       257:{1,2,4,6}:{(200,1),(292,1),(315,1),(316,1),(414,1),(428,1),(493,1)}
       258:{1,2,5}:{(201,1),(312,1)}
       259:{1,2,4,6}:{(202,1),(207,1),(294,1),(313,1),(317,1),(341,1),(393,1),(414,1),(436,1)}
       260:{1,2,4,7}:{(203,1),(208,1),(295,1),(314,1),(394,1)}
       261:{2,3,5}:{(204,1),(213,1),(312,1),(319,1)}
       262:{2,3,6}:{(205,1),(207,1),(214,1),(313,1)}
       263:{2,3,7}:{(206,1),(208,1),(215,1),(314,1)}
       264:{2,5,6}:{(207,1),(209,1),(323,1)}
       265:{2,4,6,7}:{(207,1),(208,1),(210,1),(301,1),(321,1),(323,1),(423,1),(536,1),(542,1)}
       266:{1,4,5,6}:{(209,1),(211,1),(322,1),(325,1),(328,1),(414,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(221,1),(323,1),(325,1),(425,1),(435,1),(478,1),(551,1)}
       268:{3,4,5,6}:{(211,1),(222,1),(326,1),(422,1),(486,1)}
       269:{2,4,5,7}:{(211,1),(212,1),(303,1),(325,1),(326,1),(423,1)}
       270:{1,4,5}:{(213,1),(319,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(320,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(321,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(322,1),(328,1),(333,1),(334,1),(335,1),(426,1),(430,1),(502,1),(538,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(323,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(407,1),(490,1),(536,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(238,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(239,1),(254,1),(345,1),(346,1),(348,1),(367,1),(439,1),(441,1),(446,1),(459,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(240,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(241,1),(256,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(257,1),(348,1),(459,1),(521,1)}
       293:{1,2,5,7}:{(235,1),(258,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(242,1),(260,1),(347,1),(351,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(245,1),(343,1),(352,1),(353,1),(449,1)}
       297:{2,4,6}:{(238,1),(241,1),(246,1),(344,1),(353,1)}
       298:{2,3,5,7}:{(239,1),(247,1),(261,1),(345,1),(354,1),(355,1),(449,1),(516,1),(545,1)}
       299:{2,3,6}:{(240,1),(248,1),(346,1),(352,1)}
       300:{2,3,5,7}:{(241,1),(242,1),(249,1),(263,1),(347,1),(353,1),(356,1),(449,1)}
       301:{2,6,7}:{(242,1),(243,1)}
       302:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(267,1),(357,1),(358,1),(452,1),(455,1),(517,1)}
       303:{2,4,6,7}:{(244,1),(269,1),(358,1),(359,1)}
       304:{1,3,4,6}:{(245,1),(248,1),(352,1),(360,1),(362,1),(450,1)}
       305:{1,3,4,7}:{(246,1),(249,1),(353,1),(382,1),(466,1)}
       306:{1,4,5,7}:{(247,1),(270,1),(354,1),(362,1),(382,1)}
       307:{1,3,5,6}:{(247,1),(248,1),(250,1),(355,1),(362,1),(514,1),(544,1)}
       308:{1,3,6,7}:{(248,1),(249,1),(251,1),(356,1),(452,1)}
       309:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(276,1),(357,1),(363,1),(449,1),(547,1)}
       310:{1,4,5,6,7}:{(252,1),(253,1),(278,1),(358,1),(364,1),(509,1)}
       311:{3,5,6,7}:{(253,1),(279,1),(359,1),(452,1),(516,1)}
       312:{1,3,5}:{(254,1),(258,1),(261,1),(365,1)}
       313:{1,3,6}:{(255,1),(259,1),(262,1)}
       314:{1,3,7}:{(256,1),(260,1),(263,1)}
       315:{1,3,4,6}:{(257,1),(348,1),(368,1),(369,1),(446,1),(470,1),(528,1)}
       316:{1,2,4,5}:{(257,1),(258,1),(365,1),(369,1),(457,1)}
       317:{1,2,5,6}:{(258,1),(259,1),(264,1),(366,1),(371,1),(387,1),(438,1)}
       318:{1,2,4,6,7}:{(259,1),(260,1),(265,1),(351,1),(367,1),(371,1),(392,1),(439,1),(459,1),(476,1),(529,1)}
       319:{2,4,5}:{(261,1),(270,1),(365,1),(372,1),(373,1)}
       320:{2,3,5,6}:{(261,1),(262,1),(264,1),(271,1),(366,1),(373,1),(374,1),(375,1)}
       321:{2,3,6,7}:{(262,1),(263,1),(265,1),(272,1),(367,1),(374,1),(452,1),(550,1)}
       322:{2,4,5,6}:{(264,1),(266,1),(373,1),(375,1),(376,1)}
       323:{2,5,7}:{(264,1),(265,1),(267,1)}
       324:{1,3,4,5,6}:{(266,1),(268,1),(277,1),(375,1),(377,1),(378,1),(381,1),(458,1),(467,1),(508,1)}
       325:{1,4,5,7}:{(266,1),(267,1),(269,1),(358,1),(376,1),(382,1),(459,1)}
       326:{3,4,5,7}:{(268,1),(269,1),(279,1),(359,1),(466,1),(516,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(372,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(373,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(374,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(375,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(376,1),(382,1),(386,1),(388,1),(469,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(452,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(296,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(297,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(298,1),(312,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(299,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(300,1),(314,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(315,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(316,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(301,1),(397,1)}
       352:{2,4,6}:{(296,1),(299,1),(304,1),(393,1),(402,1)}
       353:{2,4,7}:{(297,1),(300,1),(305,1),(394,1)}
       354:{2,4,5,7}:{(298,1),(306,1),(319,1),(395,1),(404,1),(405,1),(423,1)}
       355:{2,3,5,6}:{(298,1),(299,1),(307,1),(396,1),(402,1),(405,1),(484,1),(486,1),(530,1)}
       356:{2,3,6,7}:{(299,1),(300,1),(301,1),(308,1),(397,1),(403,1)}
       357:{2,5,6,7}:{(301,1),(302,1),(323,1),(407,1),(536,1)}
       358:{1,4,6,7}:{(302,1),(303,1),(325,1),(407,1)}
       359:{3,4,6,7}:{(303,1),(311,1),(326,1)}
       360:{1,3,5,6}:{(304,1),(402,1),(409,1),(410,1),(486,1)}
       361:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(403,1),(410,1),(411,1),(488,1)}
       362:{1,4,6}:{(306,1),(307,1),(405,1)}
       363:{1,3,5,6,7}:{(307,1),(308,1),(309,1),(329,1),(406,1),(410,1),(411,1),(535,1),(551,1)}
       364:{1,3,5,6,7}:{(310,1),(311,1),(336,1),(408,1),(412,1),(531,1)}
       365:{1,4,5}:{(312,1),(319,1),(414,1)}
       366:{1,3,5,6}:{(312,1),(313,1),(317,1),(320,1),(414,1),(415,1)}
       367:{1,3,6,7}:{(313,1),(314,1),(318,1),(321,1),(415,1),(543,1)}
       368:{2,3,4,6}:{(315,1),(398,1),(417,1),(418,1),(484,1),(493,1),(498,1),(541,1)}
       369:{1,3,5}:{(315,1),(316,1),(418,1)}
       370:{1,2,4,5,6}:{(316,1),(317,1),(322,1),(400,1),(414,1),(419,1),(420,1),(426,1),(477,1),(493,1),(502,1),(505,1),(530,1)}
       371:{1,2,5,7}:{(317,1),(318,1),(323,1),(415,1),(435,1),(478,1)}
       372:{3,4,5}:{(319,1),(422,1)}
       373:{2,4,6}:{(319,1),(320,1),(328,1),(414,1),(422,1),(423,1)}
       374:{2,3,5,7}:{(320,1),(321,1),(323,1),(329,1),(415,1),(423,1),(425,1)}
       375:{3,5,6}:{(322,1),(422,1),(425,1)}
       376:{2,4,5,7}:{(322,1),(323,1),(325,1),(407,1),(423,1),(425,1)}
       377:{2,4,5,6}:{(324,1),(335,1),(424,1),(426,1),(427,1),(430,1),(493,1),(502,1),(530,1)}
       378:{1,3,4,5,7}:{(324,1),(325,1),(326,1),(336,1),(408,1),(425,1),(427,1),(431,1),(494,1),(503,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(422,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(423,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(425,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(536,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(352,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(353,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(441,1),(459,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(355,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(356,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(368,1),(444,1),(445,1),(521,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(369,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(357,1),(371,1),(442,1),(447,1),(455,1),(545,1)}
       402:{2,5,6}:{(352,1),(360,1),(438,1),(449,1)}
       403:{2,4,6,7}:{(352,1),(353,1),(356,1),(361,1),(439,1),(449,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(450,1),(466,1),(516,1)}
       405:{2,4,6}:{(354,1),(355,1),(362,1),(441,1),(450,1)}
       406:{2,3,5,6,7}:{(355,1),(356,1),(357,1),(363,1),(374,1),(442,1),(449,1),(451,1),(452,1),(515,1),(516,1),(545,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(376,1),(452,1)}
       408:{1,3,4,6,7}:{(358,1),(359,1),(364,1),(378,1),(452,1),(453,1),(517,1)}
       409:{1,4,5,6}:{(360,1),(362,1),(448,1),(454,1),(544,1)}
       410:{1,3,5,7}:{(360,1),(361,1),(449,1),(454,1),(516,1)}
       411:{1,4,6,7}:{(362,1),(363,1),(382,1),(451,1),(454,1)}
       412:{2,5,6,7}:{(364,1),(388,1),(453,1),(455,1),(545,1)}
       413:{1,3,4,5}:{(365,1),(369,1),(372,1),(457,1),(458,1)}
       414:{1,4,6}:{(365,1),(366,1),(373,1),(459,1)}
       415:{1,3,5,7}:{(366,1),(367,1),(371,1),(374,1),(459,1)}
       416:{1,2,3,6}:{(443,1),(456,1),(460,1),(548,1)}
       417:{1,3,4,6}:{(368,1),(444,1),(460,1),(461,1),(514,1),(518,1),(520,1),(548,1)}
       418:{2,3,5}:{(368,1),(369,1),(457,1),(461,1)}
       419:{1,3,5,6}:{(369,1),(370,1),(375,1),(446,1),(458,1),(462,1),(463,1),(528,1)}
       420:{1,2,4,5,7}:{(370,1),(371,1),(376,1),(447,1),(459,1),(463,1),(469,1),(509,1),(521,1),(527,1),(529,1),(545,1)}
       421:{2,3,4,5}:{(372,1),(380,1),(457,1),(464,1),(465,1),(524,1)}
       422:{3,4,6}:{(372,1),(373,1),(375,1),(466,1)}
       423:{2,4,7}:{(373,1),(374,1),(382,1),(459,1),(466,1)}
       424:{2,3,5,6}:{(375,1),(377,1),(465,1),(467,1),(468,1)}
       425:{3,5,7}:{(375,1),(376,1),(452,1),(466,1)}
       426:{1,4,5,6}:{(377,1),(387,1),(467,1),(469,1),(472,1),(520,1),(544,1)}
       427:{2,4,5,7}:{(377,1),(378,1),(388,1),(453,1),(468,1),(469,1),(473,1),(521,1),(527,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(466,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(402,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(404,1),(413,1),(479,1),(480,1),(494,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(405,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(406,1),(415,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(416,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(417,1),(482,1),(483,1),(539,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(418,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(407,1),(420,1),(481,1),(485,1),(490,1),(533,1),(536,1)}
       448:{2,4,5,6}:{(402,1),(405,1),(409,1),(477,1),(486,1),(487,1),(530,1)}
       449:{2,5,7}:{(402,1),(403,1),(410,1),(478,1)}
       450:{3,4,6}:{(404,1),(405,1),(486,1)}
       451:{2,4,6,7}:{(405,1),(406,1),(411,1),(423,1),(481,1),(487,1),(488,1)}
       452:{3,6,7}:{(407,1),(425,1)}
       453:{2,4,6,7}:{(408,1),(412,1),(427,1),(489,1),(490,1),(536,1)}
       454:{1,4,5,7}:{(409,1),(410,1),(411,1),(487,1),(551,1)}
       455:{1,5,6,7}:{(412,1),(435,1),(490,1),(551,1)}
       456:{1,2,3,5}:{(416,1),(491,1),(495,1),(537,1)}
       457:{2,4,5}:{(413,1),(418,1),(492,1),(493,1)}
       458:{1,3,4,6}:{(413,1),(414,1),(419,1),(422,1),(493,1),(494,1)}
       459:{1,4,7}:{(414,1),(415,1),(423,1)}
       460:{1,2,4,6}:{(416,1),(417,1),(482,1),(491,1),(495,1),(534,1)}
       461:{1,3,5}:{(417,1),(418,1),(492,1),(495,1)}
       462:{2,3,5,6}:{(418,1),(419,1),(484,1),(493,1),(496,1),(497,1),(502,1),(530,1),(541,1)}
       463:{1,3,5,7}:{(419,1),(420,1),(425,1),(485,1),(494,1),(497,1),(543,1)}
       464:{1,3,4,5}:{(421,1),(429,1),(492,1),(499,1),(500,1),(504,1),(537,1)}
       465:{2,3,4,6}:{(421,1),(422,1),(424,1),(430,1),(493,1),(500,1),(501,1),(541,1)}
       466:{3,4,7}:{(422,1),(423,1),(425,1)}
       467:{1,3,5,6}:{(424,1),(426,1),(500,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(424,1),(425,1),(427,1),(489,1),(501,1),(503,1)}
       469:{1,4,5,7}:{(426,1),(427,1),(435,1),(490,1),(503,1),(506,1),(539,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(536,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(448,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(449,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(457,1),(510,1),(511,1),(521,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(450,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(460,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(461,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(452,1),(463,1),(515,1)}
       486:{3,5,6}:{(448,1),(450,1),(516,1)}
       487:{2,4,5,7}:{(448,1),(449,1),(451,1),(454,1),(509,1),(516,1),(545,1)}
       488:{3,4,6,7}:{(450,1),(451,1),(452,1),(466,1),(516,1)}
       489:{2,3,6,7}:{(452,1),(453,1),(468,1),(517,1)}
       490:{1,4,6,7}:{(453,1),(455,1),(469,1),(517,1)}
       491:{1,2,4}:{(456,1),(518,1)}
       492:{1,4,5}:{(457,1),(461,1),(520,1)}
       493:{2,4,6}:{(457,1),(458,1),(462,1),(520,1),(521,1)}
       494:{1,3,4,7}:{(458,1),(459,1),(463,1),(466,1),(521,1)}
       495:{1,2,5}:{(460,1),(461,1)}
       496:{1,3,5,6}:{(461,1),(462,1),(514,1),(520,1),(522,1),(523,1),(544,1),(548,1)}
       497:{2,3,5,7}:{(462,1),(463,1),(515,1),(521,1),(523,1),(527,1),(545,1),(550,1)}
       498:{2,3,4}:{(470,1),(518,1),(524,1)}
       499:{2,4,5}:{(464,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(464,1),(465,1),(467,1),(472,1),(520,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(465,1),(466,1),(468,1),(473,1),(521,1),(526,1),(550,1)}
       502:{2,5,6}:{(467,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(467,1),(468,1),(469,1),(517,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(486,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(487,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(492,1),(532,1),(539,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(488,1),(494,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(495,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(497,1),(533,1),(535,1),(536,1)}
       516:{3,5,7}:{(486,1),(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(503,1),(536,1)}
       518:{1,3,4}:{(491,1),(498,1),(537,1)}
       519:{1,2,4,5}:{(491,1),(492,1),(495,1),(499,1),(537,1),(538,1)}
       520:{1,4,6}:{(492,1),(493,1),(496,1),(539,1)}
       521:{2,4,7}:{(493,1),(494,1),(497,1),(539,1)}
       522:{1,2,5,6}:{(495,1),(496,1),(502,1),(534,1),(538,1),(540,1)}
       523:{1,3,5,7}:{(496,1),(497,1),(535,1),(539,1),(540,1),(551,1),(552,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(537,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(539,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(536,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(516,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(521,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(523,1),(546,1),(547,1)}
       536:{2,6,7}:{(517,1),(527,1)}
       537:{1,3,5}:{(518,1),(519,1),(524,1),(548,1)}
       538:{1,2,4,6}:{(519,1),(520,1),(522,1),(525,1),(548,1),(549,1)}
       539:{1,4,7}:{(520,1),(521,1),(523,1)}
       540:{1,2,5,7}:{(522,1),(523,1),(527,1),(547,1),(549,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(536,1),(540,1)}
       548:{1,3,6}:{(537,1),(538,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(538,1),(539,1),(540,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

1466 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(98,1),(251,1),(334,1),(354,1),(364,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(16,1),(43,1),(47,1),(232,1),(252,1),(261,1),(354,1),(363,1),(444,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(130,1),(201,1),(303,1),(403,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(26,1),(71,1),(283,1),(315,1),(410,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(65,1),(306,1),(411,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(14,1),(38,1),(43,1),(155,1),(249,1),(257,1),(364,1),(365,1),(451,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(171,1),(444,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(14,1),(95,1),(451,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(41,1),(444,1),(452,1)}
         9:{1,3,4,6}:{(4,1),(14,1),(16,1),(17,1),(43,1),(261,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(27,1),(57,1),(68,1),(115,1),(122,1),(130,1),(199,1),(205,1),(321,1),(322,1),(417,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(310,1),(413,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(25,1),(129,1),(303,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(26,1),(27,1),(315,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(60,1),(65,1),(109,1),(129,1),(188,1),(208,1),(311,1),(318,1),(411,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(65,1),(68,1),(218,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(101,1),(153,1),(180,1),(248,1),(274,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(45,1),(80,1),(82,1),(99,1),(153,1),(173,1),(274,1),(275,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(163,1),(171,1),(255,1),(373,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(35,1),(38,1),(43,1),(249,1),(256,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(38,1),(451,1),(452,1)}
        23:{1,3,4,5}:{(16,1),(40,1),(41,1),(452,1),(456,1)}
        24:{1,2,5,6,7}:{(12,1),(37,1),(42,1),(171,1),(238,1),(338,1),(353,1),(362,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(38,1),(43,1),(93,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(16,1),(43,1),(44,1)}
        27:{2,3,4,7}:{(14,1),(17,1),(44,1),(45,1),(95,1),(270,1)}
        28:{1,2,4,5,7}:{(15,1),(42,1),(46,1),(90,1),(95,1),(147,1),(171,1),(236,1),(260,1),(362,1),(368,1),(451,1)}
        29:{1,3,5,6}:{(15,1),(16,1),(40,1),(43,1),(46,1),(47,1),(261,1),(369,1)}
        30:{2,3,5}:{(16,1),(17,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(45,1),(48,1),(49,1),(96,1),(99,1),(177,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(52,1),(53,1),(70,1),(113,1),(137,1),(205,1),(228,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(114,1),(298,1),(325,1),(480,1),(521,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(52,1),(54,1),(55,1),(220,1),(328,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(68,1),(121,1),(129,1),(199,1),(204,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(417,1),(418,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(61,1),(67,1),(128,1),(302,1),(310,1),(410,1)}
        38:{1,4,6}:{(21,1),(22,1),(57,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(64,1),(128,1)}
        40:{1,3,4,6}:{(23,1),(29,1),(64,1),(65,1),(411,1),(416,1)}
        41:{2,4,5}:{(23,1),(30,1),(65,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(61,1),(67,1),(130,1),(190,1),(287,1),(386,1)}
        43:{1,3,6}:{(25,1),(26,1),(68,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(63,1),(68,1),(69,1)}
        45:{1,3,4,7}:{(27,1),(31,1),(69,1),(70,1),(133,1),(225,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(64,1),(67,1),(71,1),(315,1),(415,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(65,1),(68,1),(71,1),(72,1),(129,1),(188,1),(218,1)}
        48:{1,3,5}:{(30,1),(31,1),(66,1),(73,1)}
        49:{1,2,4,6}:{(31,1),(70,1),(73,1),(74,1),(137,1),(141,1)}
        50:{1,3,4,5,6}:{(40,1),(75,1),(76,1),(91,1),(144,1),(162,1),(241,1),(264,1),(369,1),(433,1)}
        51:{1,2,3,5,6}:{(33,1),(77,1),(78,1),(150,1),(153,1),(180,1),(245,1),(273,1),(279,1),(446,1),(497,1),(499,1)}
        52:{1,2,5,7}:{(32,1),(34,1),(78,1),(255,1),(279,1)}
        53:{1,2,4,7}:{(33,1),(77,1),(80,1),(347,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(78,1),(82,1),(99,1),(153,1),(172,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(376,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(85,1),(98,1),(163,1),(171,1),(248,1),(255,1),(338,1),(370,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(38,1),(82,1),(86,1)}
        58:{3,4,5,7}:{(36,1),(86,1),(163,1),(455,1),(456,1)}
        59:{2,3,4,5}:{(41,1),(88,1),(89,1),(170,1),(341,1),(456,1)}
        60:{1,4,5,6}:{(38,1),(84,1),(90,1),(91,1),(256,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(85,1),(90,1),(451,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(43,1),(86,1),(91,1),(93,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(93,1),(94,1),(95,1),(171,1)}
        64:{1,3,4,7}:{(40,1),(46,1),(95,1),(451,1),(455,1)}
        65:{2,4,6}:{(40,1),(41,1),(47,1),(95,1),(96,1)}
        66:{1,4,5}:{(41,1),(48,1),(96,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(46,1),(98,1),(428,1)}
        68:{2,3,6}:{(43,1),(44,1),(93,1),(99,1)}
        69:{1,3,5,7}:{(44,1),(45,1),(48,1),(94,1),(99,1),(100,1)}
        70:{1,2,4,7}:{(45,1),(49,1),(100,1),(101,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(95,1),(98,1),(102,1),(171,1),(236,1),(270,1)}
        72:{1,3,5,6}:{(47,1),(48,1),(96,1),(99,1),(102,1),(103,1),(172,1),(177,1)}
        73:{1,2,5}:{(48,1),(49,1)}
        74:{1,2,3,6}:{(49,1),(101,1),(104,1),(177,1)}
        75:{1,3,4,5,7}:{(50,1),(64,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(65,1),(105,1),(108,1),(109,1),(129,1),(188,1),(289,1),(467,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(110,1),(111,1),(296,1),(326,1),(520,1)}
        78:{1,2,5,6}:{(52,1),(54,1),(113,1),(137,1),(204,1)}
        79:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(110,1),(113,1),(114,1),(119,1)}
        80:{1,3,4,7}:{(53,1),(111,1),(114,1),(115,1),(521,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(112,1),(117,1),(136,1),(198,1),(203,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(114,1),(118,1),(119,1),(193,1),(203,1),(295,1)}
        84:{2,4,5,6}:{(57,1),(60,1),(116,1),(120,1),(121,1),(129,1),(204,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(122,1),(417,1)}
        86:{3,4,6}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,5,7}:{(58,1),(59,1),(63,1),(119,1),(123,1),(124,1),(125,1),(212,1),(216,1),(294,1),(389,1),(393,1),(417,1),(418,1),(488,1),(529,1)}
        88:{2,3,4,6}:{(59,1),(65,1),(105,1),(125,1),(126,1),(218,1),(289,1),(416,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(126,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(61,1),(120,1),(128,1),(310,1)}
        91:{1,3,5,6}:{(60,1),(62,1),(121,1),(128,1),(129,1)}
        92:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(122,1),(128,1),(130,1)}
        93:{2,4,6}:{(62,1),(63,1),(68,1),(129,1),(131,1)}
        94:{1,4,5,7}:{(63,1),(66,1),(69,1),(131,1),(133,1),(220,1)}
        95:{2,4,7}:{(64,1),(65,1),(71,1),(133,1)}
        96:{1,4,6}:{(65,1),(66,1),(72,1),(133,1)}
        97:{1,2,4,5}:{(66,1),(73,1),(127,1),(134,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(71,1),(130,1),(136,1),(287,1)}
        99:{1,3,6}:{(68,1),(69,1),(131,1),(137,1)}
       100:{1,2,5,7}:{(69,1),(70,1),(73,1),(137,1)}
       101:{1,2,3,7}:{(70,1),(74,1),(225,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(133,1),(136,1),(139,1),(220,1),(225,1)}
       103:{1,2,5,6}:{(72,1),(73,1),(134,1),(137,1),(139,1),(188,1)}
       104:{1,2,3,5}:{(73,1),(74,1),(135,1),(141,1)}
       105:{2,3,5,6}:{(76,1),(88,1),(143,1),(144,1),(369,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(95,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(96,1),(144,1),(147,1),(172,1),(336,1),(494,1)}
       110:{1,2,4,5}:{(77,1),(150,1),(243,1),(279,1),(376,1)}
       111:{1,3,4,6}:{(77,1),(80,1),(150,1),(151,1),(153,1),(499,1),(500,1)}
       112:{1,2,5,6,7}:{(78,1),(81,1),(152,1),(179,1),(255,1),(272,1),(333,1),(338,1)}
       113:{1,2,4,6}:{(78,1),(79,1),(82,1),(153,1),(159,1)}
       114:{1,3,5,7}:{(79,1),(80,1),(150,1),(153,1),(154,1)}
       115:{2,3,4,7}:{(80,1),(151,1),(154,1),(155,1),(347,1),(501,1)}
       116:{1,4,5,6}:{(82,1),(84,1),(156,1),(157,1),(172,1)}
       117:{1,4,6,7}:{(81,1),(82,1),(85,1),(156,1),(375,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(86,1),(153,1),(157,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(154,1),(159,1),(160,1),(243,1),(255,1),(347,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(90,1),(156,1),(163,1),(171,1),(255,1)}
       121:{3,5,6}:{(84,1),(86,1),(163,1)}
       122:{3,4,6,7}:{(85,1),(86,1),(163,1),(428,1),(455,1)}
       123:{2,3,4,6}:{(86,1),(87,1),(93,1),(159,1),(164,1),(166,1),(268,1),(371,1),(431,1),(513,1),(541,1)}
       124:{1,3,4,5,7}:{(87,1),(89,1),(94,1),(160,1),(166,1),(167,1),(168,1),(175,1),(259,1),(265,1),(346,1),(375,1),(376,1),(427,1),(435,1),(451,1),(452,1),(455,1),(456,1),(540,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(143,1),(168,1),(270,1),(340,1),(455,1)}
       126:{1,3,4,6}:{(88,1),(89,1),(96,1),(144,1),(168,1),(169,1),(177,1),(261,1),(336,1)}
       127:{2,4,5}:{(89,1),(169,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(92,1),(163,1),(171,1)}
       129:{2,5,6}:{(91,1),(93,1),(171,1),(172,1)}
       130:{2,4,6,7}:{(92,1),(93,1),(95,1),(98,1),(171,1),(173,1)}
       131:{1,4,6}:{(93,1),(94,1),(99,1),(172,1)}
       132:{1,2,4,5,7}:{(94,1),(97,1),(100,1),(167,1),(174,1),(175,1),(176,1),(181,1),(272,1),(279,1),(375,1),(376,1),(434,1),(498,1),(540,1),(550,1)}
       133:{1,4,7}:{(95,1),(96,1),(102,1)}
       134:{1,2,4,6}:{(96,1),(97,1),(103,1),(169,1),(176,1),(177,1)}
       135:{1,3,5}:{(97,1),(170,1),(177,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(102,1),(173,1),(179,1)}
       137:{1,2,6}:{(99,1),(100,1)}
       138:{1,2,3,5,7}:{(100,1),(101,1),(104,1),(175,1),(180,1),(181,1),(279,1),(497,1),(534,1),(550,1)}
       139:{1,2,5,7}:{(102,1),(103,1),(176,1),(179,1),(236,1)}
       140:{1,2,3,5,6}:{(103,1),(104,1),(177,1),(180,1),(182,1),(183,1),(237,1),(273,1),(277,1),(279,1),(378,1),(379,1)}
       141:{1,2,4}:{(104,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(125,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(126,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(133,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(134,1),(188,1),(191,1),(192,1),(221,1),(230,1),(289,1),(318,1),(326,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,5,6}:{(110,1),(113,1),(116,1),(194,1),(195,1),(204,1),(221,1),(296,1),(309,1),(318,1),(326,1),(407,1),(469,1)}
       150:{1,3,5}:{(110,1),(111,1),(196,1)}
       151:{2,3,4,6}:{(111,1),(115,1),(196,1),(197,1),(199,1),(296,1),(472,1),(473,1)}
       152:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(194,1),(198,1),(205,1),(381,1),(386,1),(460,1)}
       153:{1,3,6}:{(113,1),(114,1),(199,1)}
       154:{2,3,5,7}:{(114,1),(115,1),(119,1),(196,1),(199,1),(200,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(396,1),(474,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(203,1),(220,1)}
       157:{1,3,5,6}:{(116,1),(118,1),(121,1),(203,1),(204,1)}
       158:{1,3,4,6,7}:{(117,1),(118,1),(122,1),(198,1),(203,1),(205,1),(295,1)}
       159:{2,4,6}:{(118,1),(119,1),(199,1),(204,1),(206,1)}
       160:{1,4,5,7}:{(119,1),(200,1),(206,1),(297,1),(310,1),(396,1)}
       161:{1,2,4,5}:{(127,1),(208,1),(209,1),(306,1),(385,1),(405,1)}
       162:{3,4,5,6}:{(121,1),(210,1),(211,1),(416,1),(518,1)}
       163:{3,5,7}:{(120,1),(121,1),(122,1)}
       164:{2,3,5,6}:{(121,1),(123,1),(129,1),(204,1),(211,1),(212,1),(213,1),(467,1),(518,1),(543,1)}
       165:{2,3,4,6,7}:{(122,1),(123,1),(125,1),(130,1),(186,1),(205,1),(212,1),(214,1),(285,1),(321,1),(380,1),(388,1),(393,1),(417,1),(465,1),(515,1)}
       166:{1,3,4,6}:{(123,1),(124,1),(131,1),(206,1),(213,1),(215,1),(223,1),(313,1),(326,1),(411,1),(416,1),(464,1),(548,1)}
       167:{2,4,5,7}:{(124,1),(127,1),(215,1),(216,1),(217,1),(319,1),(395,1),(417,1),(418,1),(471,1)}
       168:{1,3,4,7}:{(125,1),(126,1),(133,1),(187,1),(217,1),(225,1),(315,1),(384,1)}
       169:{2,4,6}:{(126,1),(127,1),(188,1),(217,1),(218,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(218,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(130,1),(220,1)}
       172:{1,5,6}:{(129,1),(131,1),(220,1)}
       173:{1,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(220,1)}
       174:{1,2,4,6}:{(131,1),(132,1),(137,1),(215,1),(221,1),(223,1),(326,1),(548,1),(552,1)}
       175:{1,3,5,7}:{(132,1),(135,1),(216,1),(223,1),(224,1),(225,1),(328,1),(470,1),(521,1)}
       176:{1,2,4,7}:{(133,1),(134,1),(139,1),(217,1),(225,1)}
       177:{1,3,6}:{(134,1),(135,1),(218,1),(225,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,6}:{(137,1),(138,1),(223,1),(228,1),(552,1)}
       181:{1,2,4,7}:{(138,1),(141,1),(224,1),(228,1),(520,1)}
       182:{1,2,3,5,7}:{(139,1),(140,1),(225,1),(227,1),(229,1),(288,1),(325,1),(329,1),(330,1)}
       183:{1,2,4,6}:{(140,1),(141,1),(226,1),(229,1),(230,1),(289,1),(326,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(163,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(168,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(169,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(176,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(177,1),(237,1),(240,1),(241,1),(277,1),(369,1),(378,1)}
       193:{1,3,4,5}:{(150,1),(242,1),(243,1),(376,1),(456,1)}
       194:{1,2,4,5,7}:{(149,1),(152,1),(156,1),(244,1),(255,1),(272,1),(347,1),(360,1),(368,1),(375,1),(447,1),(498,1)}
       195:{1,3,5,6}:{(149,1),(150,1),(153,1),(242,1),(244,1),(245,1),(369,1),(499,1)}
       196:{2,3,5}:{(150,1),(151,1),(243,1),(246,1)}
       197:{1,3,4,6}:{(151,1),(155,1),(246,1),(247,1),(249,1),(348,1),(439,1),(440,1)}
       198:{1,3,6,7}:{(152,1),(153,1),(244,1),(248,1),(428,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(249,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(160,1),(246,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(250,1),(251,1)}
       202:{1,3,4,5,6}:{(157,1),(162,1),(242,1),(253,1),(254,1),(264,1),(359,1),(369,1),(450,1),(533,1)}
       203:{1,3,5,7}:{(156,1),(157,1),(158,1),(163,1),(255,1)}
       204:{2,5,6}:{(157,1),(159,1),(255,1),(256,1)}
       205:{2,4,6,7}:{(158,1),(159,1),(248,1),(255,1),(257,1),(347,1)}
       206:{1,4,6}:{(159,1),(160,1),(249,1),(256,1)}
       207:{1,2,4,5,7}:{(160,1),(161,1),(167,1),(250,1),(258,1),(259,1),(260,1),(349,1),(355,1),(362,1),(427,1),(438,1),(444,1),(445,1),(451,1),(452,1)}
       208:{1,2,4,6}:{(161,1),(169,1),(232,1),(260,1),(261,1),(336,1)}
       209:{1,3,5}:{(161,1),(170,1),(261,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(163,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,4,5,6}:{(162,1),(164,1),(263,1),(264,1),(371,1)}
       212:{2,3,5,7}:{(163,1),(164,1),(165,1),(171,1),(255,1),(263,1),(265,1),(430,1),(495,1),(532,1)}
       213:{1,3,5,6}:{(164,1),(166,1),(172,1),(256,1),(264,1),(265,1),(266,1),(369,1),(494,1),(549,1)}
       214:{1,3,4,6,7}:{(165,1),(166,1),(168,1),(173,1),(235,1),(257,1),(265,1),(267,1),(274,1),(337,1),(364,1),(375,1),(423,1),(426,1),(428,1),(435,1),(451,1),(455,1),(531,1)}
       215:{2,4,6}:{(166,1),(167,1),(266,1),(268,1)}
       216:{2,3,5,7}:{(167,1),(170,1),(175,1),(259,1),(268,1),(269,1),(270,1),(373,1),(437,1),(501,1)}
       217:{2,4,7}:{(168,1),(169,1),(236,1),(270,1)}
       218:{2,3,6}:{(169,1),(170,1),(177,1),(261,1),(270,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(173,1)}
       221:{1,2,5,6}:{(172,1),(174,1),(266,1),(272,1),(273,1),(279,1),(549,1)}
       222:{1,2,4,6,7}:{(173,1),(174,1),(176,1),(179,1),(267,1),(272,1),(274,1),(375,1),(490,1),(498,1),(531,1)}
       223:{1,3,6}:{(174,1),(175,1),(268,1)}
       224:{1,3,4,7}:{(175,1),(178,1),(181,1),(269,1),(275,1),(375,1),(500,1)}
       225:{1,3,7}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,6}:{(177,1),(178,1),(183,1),(271,1),(276,1),(277,1),(378,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(274,1),(278,1),(339,1),(378,1),(534,1)}
       228:{1,2,4,6}:{(180,1),(181,1),(275,1),(279,1)}
       229:{1,2,4,7}:{(182,1),(183,1),(276,1),(340,1),(375,1)}
       230:{1,2,4,5}:{(183,1),(277,1),(279,1),(341,1),(376,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(203,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(208,1),(283,1),(284,1),(405,1),(479,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(212,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(217,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(218,1),(284,1),(288,1),(289,1),(324,1),(420,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(225,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(326,1),(416,1)}
       242:{1,3,4,6}:{(193,1),(195,1),(295,1),(296,1),(326,1),(416,1)}
       243:{2,4,5}:{(193,1),(196,1),(296,1),(297,1)}
       244:{1,3,5,7}:{(194,1),(195,1),(198,1),(295,1),(298,1),(415,1),(521,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(204,1),(296,1),(298,1),(299,1),(407,1),(472,1)}
       246:{1,3,5}:{(196,1),(197,1),(297,1),(300,1)}
       247:{1,2,4,6}:{(197,1),(201,1),(300,1),(301,1),(303,1),(401,1)}
       248:{2,3,6,7}:{(198,1),(199,1),(205,1),(298,1),(302,1),(460,1)}
       249:{1,3,6}:{(199,1),(200,1),(206,1),(303,1)}
       250:{1,2,5,7}:{(200,1),(201,1),(300,1),(303,1)}
       251:{1,2,3,7}:{(201,1),(301,1),(474,1)}
       252:{1,2,3,5}:{(209,1),(305,1),(306,1),(405,1)}
       253:{1,3,4,5,7}:{(202,1),(203,1),(210,1),(281,1),(295,1),(308,1),(317,1),(406,1),(415,1),(484,1),(516,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(296,1),(307,1),(308,1),(309,1),(407,1),(483,1),(543,1)}
       255:{2,5,7}:{(203,1),(204,1),(205,1),(310,1)}
       256:{1,5,6}:{(204,1),(206,1),(310,1)}
       257:{1,4,6,7}:{(205,1),(206,1),(302,1),(310,1),(396,1)}
       258:{1,2,4,6}:{(206,1),(207,1),(215,1),(303,1),(311,1),(313,1),(411,1),(464,1),(479,1)}
       259:{1,3,5,7}:{(207,1),(209,1),(216,1),(313,1),(314,1),(315,1),(398,1),(413,1),(474,1)}
       260:{1,2,4,7}:{(208,1),(217,1),(283,1),(315,1),(384,1)}
       261:{1,3,6}:{(208,1),(209,1),(218,1),(315,1)}
       262:{1,3,4}:{(209,1),(219,1),(306,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(212,1),(285,1),(317,1),(417,1)}
       264:{1,4,5,6}:{(211,1),(213,1),(317,1),(318,1),(326,1),(411,1)}
       265:{1,3,5,7}:{(212,1),(213,1),(214,1),(220,1),(310,1),(317,1),(319,1),(415,1),(463,1),(542,1)}
       266:{2,5,6}:{(213,1),(215,1),(319,1)}
       267:{2,4,6,7}:{(214,1),(215,1),(217,1),(287,1),(319,1),(321,1),(417,1),(460,1),(471,1)}
       268:{2,3,6}:{(215,1),(216,1),(223,1),(313,1)}
       269:{2,3,4,7}:{(216,1),(219,1),(224,1),(314,1),(322,1),(417,1),(473,1)}
       270:{2,3,7}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,6}:{(218,1),(219,1),(226,1),(289,1),(316,1),(323,1),(324,1),(420,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(222,1),(319,1),(325,1),(542,1)}
       273:{1,3,5,6}:{(221,1),(223,1),(320,1),(325,1),(326,1),(328,1)}
       274:{1,3,6,7}:{(222,1),(223,1),(225,1),(321,1),(325,1),(521,1)}
       275:{1,3,4,6}:{(223,1),(224,1),(228,1),(322,1),(326,1),(328,1)}
       276:{1,3,4,7}:{(225,1),(226,1),(229,1),(323,1),(329,1)}
       277:{1,3,5}:{(226,1),(230,1),(324,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(229,1),(327,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,5}:{(228,1),(328,1)}
       280:{1,2,4,5,7}:{(229,1),(230,1),(329,1),(330,1),(331,1),(389,1),(421,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(255,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(260,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(261,1),(335,1),(336,1),(367,1),(454,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(265,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(270,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(378,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(277,1),(341,1),(376,1),(456,1)}
       294:{2,3,4,5}:{(243,1),(345,1),(346,1),(437,1),(456,1),(510,1)}
       295:{1,3,4,7}:{(242,1),(244,1),(347,1),(375,1),(455,1)}
       296:{2,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1)}
       297:{1,4,5}:{(243,1),(246,1),(348,1)}
       298:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(347,1),(350,1),(447,1),(501,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(249,1),(256,1),(348,1),(350,1),(351,1),(439,1)}
       300:{1,2,5}:{(246,1),(247,1)}
       301:{1,2,3,6}:{(247,1),(251,1),(352,1),(439,1)}
       302:{1,3,6,7}:{(248,1),(249,1),(257,1),(350,1),(353,1)}
       303:{1,2,6}:{(249,1),(250,1)}
       304:{1,2,3,5,7}:{(250,1),(251,1),(252,1),(259,1),(352,1),(354,1),(355,1),(356,1),(444,1),(445,1)}
       305:{1,2,3,6}:{(252,1),(261,1),(356,1),(357,1)}
       306:{1,2,4}:{(252,1),(262,1)}
       307:{2,3,5,6}:{(254,1),(345,1),(358,1),(359,1),(369,1)}
       308:{2,4,5,7}:{(253,1),(254,1),(255,1),(332,1),(347,1),(358,1),(360,1),(447,1),(509,1),(532,1)}
       309:{1,4,5,6}:{(254,1),(256,1),(348,1),(359,1),(360,1),(508,1),(549,1)}
       310:{1,5,7}:{(255,1),(256,1),(257,1)}
       311:{1,2,5,6}:{(256,1),(258,1),(266,1),(362,1),(363,1),(444,1),(494,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(260,1),(267,1),(334,1),(353,1),(362,1),(364,1),(426,1),(438,1),(451,1)}
       313:{1,3,6}:{(258,1),(259,1),(268,1)}
       314:{1,3,4,7}:{(259,1),(262,1),(269,1),(355,1),(365,1),(440,1),(451,1)}
       315:{1,3,7}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,6}:{(261,1),(262,1),(271,1),(336,1),(357,1),(366,1),(367,1),(454,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(265,1),(337,1),(368,1),(375,1),(451,1)}
       318:{2,4,5,6}:{(264,1),(266,1),(368,1),(369,1),(371,1)}
       319:{2,5,7}:{(265,1),(266,1),(267,1)}
       320:{2,3,5,6}:{(266,1),(268,1),(273,1),(363,1),(369,1),(370,1),(371,1),(373,1)}
       321:{2,3,6,7}:{(267,1),(268,1),(270,1),(274,1),(364,1),(370,1),(428,1),(501,1)}
       322:{2,3,4,6}:{(268,1),(269,1),(275,1),(365,1),(371,1),(373,1)}
       323:{2,3,4,7}:{(270,1),(271,1),(276,1),(340,1),(366,1),(374,1)}
       324:{2,3,5}:{(271,1),(277,1),(341,1),(367,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(274,1),(370,1),(375,1)}
       326:{1,4,6}:{(273,1),(371,1),(375,1),(376,1)}
       327:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(278,1),(372,1),(375,1),(377,1),(378,1),(459,1),(531,1),(536,1),(551,1)}
       328:{1,3,5}:{(275,1),(279,1),(373,1),(376,1)}
       329:{1,3,5,7}:{(276,1),(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(279,1),(377,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(280,1),(378,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(308,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(310,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(479,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(315,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(319,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(420,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(324,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(329,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,3,4,6}:{(294,1),(296,1),(307,1),(393,1),(394,1),(416,1),(472,1),(483,1)}
       346:{1,3,4,5}:{(294,1),(297,1),(394,1),(395,1),(398,1),(470,1),(528,1)}
       347:{2,4,7}:{(295,1),(296,1),(298,1),(396,1)}
       348:{1,4,6}:{(296,1),(297,1),(299,1),(396,1)}
       349:{1,2,4,5}:{(297,1),(300,1),(395,1),(397,1),(398,1),(401,1)}
       350:{1,3,5,7}:{(298,1),(299,1),(302,1),(310,1),(396,1),(399,1),(474,1)}
       351:{1,2,5,6}:{(299,1),(300,1),(303,1),(397,1),(399,1),(407,1)}
       352:{1,2,3,5}:{(300,1),(301,1),(398,1),(401,1)}
       353:{1,2,6,7}:{(302,1),(303,1),(399,1),(460,1)}
       354:{1,2,3,6}:{(303,1),(304,1),(313,1),(403,1),(479,1)}
       355:{1,2,4,7}:{(304,1),(306,1),(314,1),(401,1),(403,1)}
       356:{1,2,3,7}:{(305,1),(315,1),(404,1)}
       357:{1,2,4,6}:{(305,1),(306,1),(316,1),(404,1),(405,1),(479,1)}
       358:{2,3,5,7}:{(307,1),(308,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,3,5,6}:{(307,1),(309,1),(394,1),(406,1),(407,1)}
       360:{1,4,5,7}:{(308,1),(309,1),(310,1),(381,1),(396,1),(406,1),(527,1),(542,1)}
       361:{1,2,4,5,6}:{(309,1),(311,1),(318,1),(397,1),(407,1),(408,1),(409,1),(411,1),(477,1),(483,1),(517,1),(526,1),(543,1)}
       362:{1,2,5,7}:{(310,1),(311,1),(312,1),(319,1),(410,1),(463,1)}
       363:{1,3,5,6}:{(311,1),(313,1),(320,1),(410,1),(411,1),(413,1)}
       364:{1,3,6,7}:{(312,1),(313,1),(315,1),(321,1),(410,1),(474,1)}
       365:{1,3,4,6}:{(313,1),(314,1),(322,1),(403,1),(411,1),(413,1)}
       366:{1,3,4,7}:{(315,1),(316,1),(323,1),(384,1),(404,1),(414,1)}
       367:{1,3,5}:{(316,1),(324,1),(385,1),(405,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(319,1),(386,1),(415,1),(417,1)}
       369:{3,5,6}:{(318,1),(415,1),(416,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(321,1),(325,1),(410,1),(415,1),(417,1)}
       371:{2,4,6}:{(320,1),(326,1),(411,1),(416,1),(417,1),(418,1)}
       372:{2,3,4,6,7}:{(321,1),(322,1),(323,1),(327,1),(388,1),(412,1),(417,1),(419,1),(420,1),(465,1),(489,1),(515,1),(523,1),(547,1)}
       373:{2,3,5}:{(322,1),(328,1),(413,1),(418,1)}
       374:{2,3,5,7}:{(323,1),(324,1),(329,1),(389,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(326,1),(417,1)}
       376:{1,4,5}:{(326,1),(328,1),(418,1)}
       377:{1,3,5,7}:{(327,1),(328,1),(330,1),(419,1),(421,1),(422,1),(542,1)}
       378:{1,3,6}:{(329,1),(331,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(360,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(362,1),(424,1),(425,1),(506,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(454,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(367,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(370,1),(425,1),(428,1),(429,1),(430,1),(458,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(374,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(378,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(347,1),(358,1),(435,1),(455,1),(501,1),(509,1)}
       394:{1,3,4,6}:{(345,1),(346,1),(348,1),(359,1),(435,1),(436,1),(439,1),(499,1),(508,1)}
       395:{2,4,5}:{(346,1),(436,1),(437,1)}
       396:{1,4,7}:{(347,1),(348,1),(350,1)}
       397:{1,2,4,6}:{(348,1),(349,1),(351,1),(436,1),(438,1),(439,1)}
       398:{1,3,5}:{(349,1),(437,1),(439,1),(440,1)}
       399:{1,2,5,7}:{(350,1),(351,1),(353,1),(438,1),(447,1)}
       400:{1,2,3,5,6}:{(351,1),(352,1),(354,1),(363,1),(439,1),(441,1),(442,1),(444,1),(448,1),(504,1),(506,1),(539,1)}
       401:{1,2,4}:{(352,1),(440,1)}
       402:{1,2,3,6,7}:{(353,1),(354,1),(356,1),(364,1),(441,1),(443,1),(491,1),(539,1)}
       403:{1,2,4,6}:{(354,1),(355,1),(365,1),(444,1)}
       404:{1,2,4,7}:{(356,1),(357,1),(366,1),(445,1)}
       405:{1,2,5}:{(357,1),(367,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(360,1),(423,1),(435,1),(447,1)}
       407:{2,5,6}:{(359,1),(436,1),(447,1)}
       408:{1,2,4,5,7}:{(360,1),(361,1),(362,1),(368,1),(424,1),(438,1),(447,1),(449,1),(451,1),(493,1),(509,1),(532,1)}
       409:{1,3,5,6}:{(361,1),(369,1),(439,1),(448,1),(449,1),(450,1),(504,1),(539,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(364,1),(370,1),(451,1)}
       411:{1,4,6}:{(363,1),(371,1),(451,1),(452,1)}
       412:{1,3,4,6,7}:{(364,1),(365,1),(366,1),(372,1),(426,1),(443,1),(451,1),(453,1),(454,1),(503,1),(512,1),(539,1)}
       413:{1,3,5}:{(365,1),(373,1),(444,1),(452,1)}
       414:{1,3,5,7}:{(366,1),(367,1),(374,1),(427,1),(445,1),(454,1)}
       415:{3,5,7}:{(368,1),(369,1),(428,1),(455,1)}
       416:{3,4,6}:{(369,1),(371,1),(455,1),(456,1)}
       417:{2,4,7}:{(370,1),(371,1),(375,1),(451,1),(455,1)}
       418:{2,4,5}:{(371,1),(373,1),(376,1),(452,1),(456,1)}
       419:{2,3,5,7}:{(372,1),(373,1),(377,1),(430,1),(453,1),(457,1),(458,1),(495,1),(532,1)}
       420:{2,3,6}:{(374,1),(378,1),(431,1),(454,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(377,1),(457,1),(459,1)}
       422:{1,3,5,6}:{(377,1),(378,1),(379,1),(458,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(408,1),(460,1),(461,1),(462,1),(515,1),(526,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(410,1),(461,1),(462,1),(463,1),(487,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(414,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(417,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(420,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,2,4,5}:{(395,1),(469,1),(470,1),(520,1),(528,1),(545,1)}
       435:{1,3,4,7}:{(393,1),(394,1),(396,1),(406,1),(471,1),(474,1),(521,1),(527,1)}
       436:{2,4,6}:{(394,1),(395,1),(407,1),(471,1),(472,1)}
       437:{2,3,5}:{(395,1),(398,1),(470,1),(472,1),(473,1)}
       438:{1,2,4,7}:{(396,1),(397,1),(399,1),(471,1),(474,1)}
       439:{1,3,6}:{(397,1),(398,1),(472,1),(474,1)}
       440:{1,3,4}:{(398,1),(401,1),(473,1)}
       441:{1,2,3,5,7}:{(399,1),(400,1),(402,1),(410,1),(474,1),(476,1),(478,1),(482,1),(525,1)}
       442:{1,2,4,6}:{(400,1),(401,1),(411,1),(475,1),(476,1),(477,1),(483,1)}
       443:{1,2,4,6,7}:{(402,1),(403,1),(404,1),(412,1),(476,1),(478,1),(479,1),(515,1),(526,1)}
       444:{1,2,5}:{(403,1),(413,1)}
       445:{1,2,5,7}:{(404,1),(405,1),(414,1),(479,1)}
       446:{1,2,5,6}:{(407,1),(469,1),(480,1),(481,1),(545,1),(552,1)}
       447:{2,5,7}:{(406,1),(407,1),(460,1),(471,1)}
       448:{2,3,5,6}:{(407,1),(409,1),(472,1),(481,1),(482,1),(483,1),(524,1),(543,1),(547,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(415,1),(461,1),(474,1),(482,1),(484,1)}
       450:{1,3,4,6}:{(409,1),(411,1),(416,1),(483,1),(484,1),(485,1)}
       451:{1,4,7}:{(410,1),(411,1),(417,1)}
       452:{1,4,5}:{(411,1),(413,1),(418,1)}
       453:{1,3,5,7}:{(412,1),(413,1),(419,1),(463,1),(478,1),(486,1),(487,1)}
       454:{1,3,6}:{(414,1),(420,1),(464,1),(479,1)}
       455:{3,4,7}:{(415,1),(416,1),(417,1)}
       456:{3,4,5}:{(416,1),(418,1)}
       457:{2,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(486,1),(488,1),(489,1)}
       458:{2,3,5,6}:{(419,1),(420,1),(422,1),(467,1),(487,1),(489,1),(518,1),(543,1),(547,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(447,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(449,1),(491,1),(539,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(451,1),(493,1),(512,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(454,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{1,2,4,6}:{(434,1),(436,1),(446,1),(498,1),(499,1),(508,1)}
       470:{1,3,5}:{(434,1),(437,1),(499,1),(500,1)}
       471:{2,4,7}:{(435,1),(436,1),(447,1),(501,1)}
       472:{2,3,6}:{(436,1),(437,1),(439,1),(499,1),(501,1)}
       473:{2,3,4}:{(437,1),(440,1),(500,1)}
       474:{1,3,7}:{(438,1),(439,1),(501,1)}
       475:{1,3,4,6}:{(439,1),(440,1),(442,1),(502,1),(503,1),(504,1),(539,1)}
       476:{1,2,4,7}:{(441,1),(442,1),(451,1),(503,1),(509,1)}
       477:{1,2,4,5}:{(442,1),(444,1),(452,1),(504,1),(510,1)}
       478:{1,2,5,7}:{(443,1),(444,1),(453,1),(506,1),(532,1)}
       479:{1,2,6}:{(445,1),(454,1)}
       480:{1,2,5,7}:{(446,1),(447,1),(490,1),(498,1),(507,1)}
       481:{1,3,5,6}:{(446,1),(448,1),(499,1),(507,1),(508,1),(537,1),(549,1),(551,1)}
       482:{2,3,5,7}:{(447,1),(448,1),(449,1),(491,1),(501,1),(507,1),(509,1),(532,1)}
       483:{2,4,6}:{(448,1),(450,1),(508,1),(509,1),(510,1)}
       484:{1,3,4,7}:{(449,1),(450,1),(451,1),(455,1),(509,1)}
       485:{1,3,4,5}:{(450,1),(452,1),(456,1),(504,1),(510,1)}
       486:{1,4,5,7}:{(451,1),(452,1),(453,1),(457,1),(512,1)}
       487:{1,3,5,6}:{(453,1),(454,1),(458,1),(494,1),(506,1),(512,1),(539,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(457,1),(495,1),(513,1)}
       489:{2,4,6}:{(457,1),(458,1),(459,1),(512,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(482,1),(514,1),(515,1),(547,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(484,1),(515,1),(516,1),(530,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,3,5}:{(470,1),(519,1),(520,1),(545,1)}
       498:{1,2,4,7}:{(469,1),(471,1),(480,1),(521,1),(527,1)}
       499:{1,3,6}:{(469,1),(470,1),(472,1),(521,1)}
       500:{1,3,4}:{(470,1),(473,1),(520,1)}
       501:{2,3,7}:{(471,1),(472,1),(474,1),(521,1)}
       502:{2,3,4,6}:{(472,1),(473,1),(475,1),(483,1),(522,1),(523,1),(524,1),(547,1)}
       503:{1,3,4,7}:{(474,1),(475,1),(476,1),(523,1),(525,1)}
       504:{1,3,5}:{(475,1),(477,1),(524,1)}
       505:{1,2,4,5,7}:{(476,1),(477,1),(478,1),(486,1),(525,1),(526,1),(529,1)}
       506:{1,2,5,6}:{(478,1),(479,1),(487,1),(526,1),(543,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(482,1),(514,1),(521,1),(527,1),(542,1)}
       508:{1,4,6}:{(481,1),(483,1),(527,1),(528,1)}
       509:{2,4,7}:{(482,1),(483,1),(484,1),(527,1)}
       510:{2,4,5}:{(483,1),(485,1),(524,1),(528,1)}
       511:{1,3,4,5,7}:{(484,1),(485,1),(486,1),(488,1),(516,1),(525,1),(529,1),(530,1)}
       512:{1,4,6}:{(486,1),(487,1),(489,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(509,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(512,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,2,3,6}:{(497,1),(499,1),(534,1),(535,1)}
       520:{1,2,4}:{(497,1),(500,1)}
       521:{1,3,7}:{(498,1),(499,1),(501,1)}
       522:{1,3,4,6}:{(499,1),(500,1),(502,1),(508,1),(535,1),(536,1),(537,1),(551,1)}
       523:{2,3,4,7}:{(501,1),(502,1),(503,1),(509,1),(536,1),(538,1)}
       524:{2,3,5}:{(502,1),(504,1),(510,1),(537,1)}
       525:{1,3,5,7}:{(503,1),(504,1),(505,1),(538,1),(539,1)}
       526:{1,2,4,6}:{(505,1),(506,1),(512,1),(539,1),(541,1)}
       527:{1,4,7}:{(507,1),(508,1),(509,1)}
       528:{1,4,5}:{(508,1),(510,1),(537,1)}
       529:{2,4,5,7}:{(509,1),(510,1),(511,1),(532,1),(538,1),(540,1),(541,1)}
       530:{1,3,4,6}:{(511,1),(512,1),(513,1),(533,1),(539,1),(541,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(530,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(521,1),(544,1)}
       535:{1,2,4,6}:{(519,1),(520,1),(522,1),(544,1),(545,1),(552,1)}
       536:{1,3,4,7}:{(521,1),(522,1),(523,1),(527,1),(544,1),(546,1)}
       537:{1,3,5}:{(522,1),(524,1),(528,1),(545,1)}
       538:{2,3,5,7}:{(523,1),(524,1),(525,1),(529,1),(546,1),(547,1)}
       539:{1,3,6}:{(525,1),(526,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(529,1),(542,1),(546,1),(548,1)}
       541:{2,4,6}:{(529,1),(530,1),(543,1),(547,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(536,1),(550,1)}
       545:{1,2,5}:{(535,1),(537,1)}
       546:{1,3,5,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,3,6}:{(538,1),(539,1),(541,1),(551,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       551:{1,3,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1467 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1468 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(90,1),(131,1),(136,1),(373,1),(485,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(125,1),(430,1),(449,1),(453,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(22,1),(117,1),(180,1),(188,1),(295,1)}
         3:{1,3,4,6,7}:{(2,1),(7,1),(8,1),(10,1),(30,1),(38,1),(132,1),(237,1),(245,1),(251,1),(373,1),(477,1)}
         4:{1,2,3,5,6}:{(1,1),(9,1),(12,1),(33,1),(38,1),(86,1),(136,1),(164,1),(246,1),(371,1),(393,1),(400,1)}
         5:{1,2,4,7}:{(1,1),(9,1),(10,1),(170,1),(477,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(12,1),(160,1),(246,1)}
         7:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(20,1),(46,1),(61,1),(93,1),(106,1),(117,1),(182,1),(194,1),(198,1),(321,1),(437,1)}
         8:{1,3,5,7}:{(3,1),(6,1),(15,1),(16,1),(17,1),(308,1),(310,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(18,1),(19,1),(121,1),(220,1),(429,1)}
        10:{1,3,4,7}:{(5,1),(18,1),(20,1),(21,1),(453,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(16,1),(19,1),(21,1),(22,1),(50,1)}
        12:{1,2,5,6}:{(6,1),(17,1),(22,1),(112,1),(295,1)}
        13:{1,2,3,6,7}:{(24,1),(25,1),(35,1),(74,1),(134,1),(238,1),(279,1),(528,1)}
        14:{1,3,4,6,7}:{(7,1),(25,1),(26,1),(36,1),(64,1),(68,1),(89,1),(134,1),(157,1),(163,1),(279,1),(399,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(146,1),(160,1),(248,1),(257,1)}
        16:{1,4,5,7}:{(8,1),(27,1),(30,1),(370,1),(477,1)}
        17:{1,3,5,6}:{(8,1),(12,1),(28,1),(30,1),(38,1),(237,1),(247,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(32,1),(33,1),(38,1),(280,1),(400,1)}
        19:{1,2,4,5}:{(9,1),(33,1),(82,1),(246,1),(370,1)}
        20:{2,3,4,7}:{(10,1),(32,1),(36,1),(37,1),(170,1),(402,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(33,1),(37,1),(38,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(30,1),(38,1),(79,1)}
        23:{1,2,5,6,7}:{(12,1),(31,1),(39,1),(160,1),(268,1),(355,1),(372,1),(377,1)}
        24:{1,2,3,5,7}:{(13,1),(40,1),(41,1),(42,1),(94,1),(294,1),(340,1),(510,1),(541,1)}
        25:{1,2,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(59,1),(95,1),(111,1),(126,1),(194,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(42,1),(43,1),(44,1),(215,1),(217,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(43,1),(45,1),(46,1),(318,1),(437,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(44,1),(46,1),(61,1),(102,1),(112,1),(182,1),(189,1)}
        29:{1,3,4,5,7}:{(16,1),(21,1),(45,1),(50,1),(51,1),(53,1),(113,1),(122,1)}
        30:{1,4,6}:{(16,1),(17,1),(46,1)}
        31:{1,3,5,6,7}:{(17,1),(23,1),(47,1),(52,1),(62,1),(113,1),(296,1),(310,1),(430,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(55,1),(56,1),(61,1),(121,1),(221,1),(343,1)}
        33:{1,3,5}:{(18,1),(19,1),(56,1)}
        34:{1,2,4,5,6}:{(19,1),(22,1),(48,1),(57,1),(58,1),(112,1),(121,1),(213,1),(309,1),(316,1),(334,1),(342,1),(429,1)}
        35:{1,2,3,7}:{(54,1),(59,1),(345,1)}
        36:{1,3,4,7}:{(20,1),(55,1),(59,1),(60,1),(227,1),(345,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(50,1),(56,1),(60,1),(61,1)}
        38:{1,3,6}:{(21,1),(22,1),(61,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(52,1),(58,1),(62,1),(117,1),(327,1),(432,1),(442,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(66,1),(74,1),(129,1),(134,1),(158,1),(234,1),(277,1),(346,1),(471,1),(523,1)}
        41:{1,2,4,7}:{(24,1),(63,1),(64,1),(352,1),(399,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(66,1),(158,1),(248,1)}
        43:{1,4,5,7}:{(26,1),(27,1),(68,1),(276,1),(399,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(66,1),(68,1),(89,1),(134,1),(159,1)}
        45:{3,4,5,7}:{(27,1),(72,1),(146,1),(378,1),(482,1)}
        46:{2,4,6}:{(27,1),(28,1),(30,1),(68,1),(72,1)}
        47:{2,3,5,6,7}:{(28,1),(31,1),(69,1),(73,1),(90,1),(146,1),(160,1),(238,1),(248,1),(377,1),(382,1),(479,1)}
        48:{1,4,5,6}:{(30,1),(70,1),(75,1),(76,1),(247,1)}
        49:{1,2,3,5,7}:{(35,1),(74,1),(77,1),(81,1),(88,1),(158,1),(161,1),(346,1),(356,1),(462,1)}
        50:{2,4,5,7}:{(29,1),(37,1),(78,1),(79,1),(82,1),(160,1),(170,1)}
        51:{1,3,4,6}:{(29,1),(30,1),(38,1),(72,1),(75,1),(79,1)}
        52:{1,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(477,1)}
        53:{1,3,4,5}:{(33,1),(82,1),(83,1),(370,1),(378,1)}
        54:{1,2,3,6}:{(35,1),(81,1),(84,1),(285,1)}
        55:{1,3,4,6}:{(32,1),(36,1),(84,1),(85,1),(89,1),(167,1),(169,1),(285,1)}
        56:{2,3,5}:{(32,1),(33,1),(82,1),(85,1)}
        57:{1,3,5,6}:{(33,1),(34,1),(38,1),(83,1),(86,1),(87,1),(379,1),(400,1)}
        58:{1,2,4,5,7}:{(34,1),(39,1),(76,1),(87,1),(160,1),(170,1),(275,1),(372,1),(380,1),(396,1),(401,1),(477,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(84,1),(88,1)}
        60:{1,3,5,7}:{(36,1),(37,1),(78,1),(85,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(38,1),(79,1),(89,1)}
        62:{1,3,6,7}:{(38,1),(39,1),(87,1),(90,1),(479,1)}
        63:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(290,1),(339,1),(403,1)}
        64:{1,3,4,7}:{(41,1),(91,1),(93,1),(94,1),(541,1)}
        65:{1,2,4,5,7}:{(41,1),(42,1),(43,1),(92,1),(94,1),(95,1),(99,1)}
        66:{1,2,5,6}:{(42,1),(44,1),(95,1),(126,1),(189,1)}
        67:{1,3,4,5,7}:{(43,1),(45,1),(94,1),(99,1),(100,1),(174,1),(190,1),(291,1)}
        68:{1,4,6}:{(43,1),(44,1),(46,1)}
        69:{1,3,5,6,7}:{(44,1),(47,1),(96,1),(101,1),(127,1),(183,1),(190,1),(217,1),(340,1)}
        70:{2,4,5,6}:{(46,1),(48,1),(97,1),(102,1),(103,1),(112,1),(189,1)}
        71:{2,3,4,5,7}:{(45,1),(50,1),(99,1),(104,1),(105,1),(118,1),(200,1),(201,1),(224,1),(287,1),(318,1),(407,1),(431,1),(437,1),(440,1),(501,1)}
        72:{3,4,6}:{(45,1),(46,1),(102,1)}
        73:{2,4,6,7}:{(46,1),(47,1),(52,1),(101,1),(103,1),(106,1),(437,1)}
        74:{1,2,3,6}:{(49,1),(111,1),(126,1),(218,1),(500,1)}
        75:{1,3,5,6}:{(48,1),(51,1),(102,1),(112,1),(113,1)}
        76:{1,4,5,7}:{(48,1),(52,1),(103,1),(113,1),(310,1)}
        77:{1,2,4,7}:{(49,1),(111,1),(114,1),(119,1),(403,1)}
        78:{1,4,5,7}:{(50,1),(60,1),(116,1),(120,1),(217,1),(227,1)}
        79:{2,4,6}:{(50,1),(51,1),(61,1),(112,1),(116,1)}
        80:{1,3,4,6,7}:{(51,1),(52,1),(62,1),(106,1),(113,1),(117,1),(122,1)}
        81:{1,2,3,5}:{(54,1),(119,1),(123,1),(225,1)}
        82:{2,4,5}:{(53,1),(56,1),(120,1),(121,1)}
        83:{1,3,4,6}:{(53,1),(57,1),(121,1),(122,1),(429,1),(435,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(59,1),(119,1),(123,1),(126,1)}
        85:{1,3,5}:{(55,1),(56,1),(120,1),(123,1)}
        86:{2,3,5,6}:{(56,1),(57,1),(61,1),(112,1),(121,1),(124,1),(125,1),(334,1),(343,1)}
        87:{1,3,5,7}:{(57,1),(58,1),(62,1),(122,1),(125,1),(436,1),(453,1)}
        88:{1,2,5,7}:{(59,1),(60,1),(123,1),(126,1)}
        89:{1,3,6}:{(60,1),(61,1),(116,1),(126,1)}
        90:{2,3,6,7}:{(61,1),(62,1),(117,1),(125,1),(127,1),(442,1)}
        91:{1,3,4,6}:{(63,1),(64,1),(128,1),(129,1),(134,1),(454,1),(523,1)}
        92:{1,2,4,5}:{(63,1),(129,1),(158,1),(230,1),(276,1)}
        93:{2,3,4,7}:{(64,1),(128,1),(132,1),(133,1),(352,1),(525,1)}
        94:{1,3,5,7}:{(64,1),(65,1),(129,1),(133,1),(134,1)}
        95:{1,2,4,6}:{(65,1),(66,1),(68,1),(134,1),(141,1)}
        96:{1,2,5,6,7}:{(66,1),(69,1),(135,1),(173,1),(248,1),(278,1),(362,1),(377,1)}
        97:{1,4,5,6}:{(68,1),(70,1),(137,1),(138,1),(159,1)}
        98:{1,2,3,5,7}:{(131,1),(136,1),(139,1),(164,1),(229,1),(236,1),(246,1),(249,1),(262,1),(384,1)}
        99:{2,4,5,7}:{(67,1),(133,1),(140,1),(141,1),(230,1),(248,1),(352,1)}
       100:{1,3,4,6}:{(67,1),(68,1),(72,1),(134,1),(137,1),(141,1)}
       101:{1,4,6,7}:{(68,1),(69,1),(73,1),(138,1),(399,1)}
       102:{3,5,6}:{(70,1),(72,1),(146,1)}
       103:{2,4,5,7}:{(70,1),(73,1),(76,1),(138,1),(146,1),(160,1),(248,1)}
       104:{1,3,4,5,7}:{(71,1),(78,1),(140,1),(148,1),(149,1),(161,1),(165,1),(249,1),(259,1),(276,1),(284,1),(347,1),(370,1),(378,1),(399,1),(458,1),(477,1),(482,1),(483,1),(526,1)}
       105:{2,3,4,6}:{(71,1),(72,1),(79,1),(141,1),(145,1),(149,1),(260,1),(381,1),(478,1),(486,1),(529,1)}
       106:{3,4,6,7}:{(72,1),(73,1),(146,1),(479,1),(482,1)}
       107:{1,2,3,6,7}:{(74,1),(151,1),(152,1),(173,1),(279,1),(356,1),(388,1),(487,1)}
       108:{1,4,5,6,7}:{(76,1),(143,1),(153,1),(362,1),(374,1),(490,1)}
       109:{1,2,3,5,6}:{(74,1),(81,1),(151,1),(154,1),(158,1),(171,1),(267,1),(273,1),(277,1),(285,1),(388,1),(395,1)}
       110:{1,3,4,5,6}:{(75,1),(83,1),(144,1),(155,1),(156,1),(255,1),(271,1),(379,1),(397,1),(488,1)}
       111:{1,2,4,6}:{(74,1),(77,1),(157,1),(158,1)}
       112:{2,5,6}:{(75,1),(79,1),(159,1),(160,1)}
       113:{1,3,5,7}:{(75,1),(76,1),(80,1),(146,1),(160,1)}
       114:{1,3,4,7}:{(77,1),(147,1),(157,1),(161,1),(167,1),(399,1),(454,1)}
       115:{1,2,4,5,7}:{(77,1),(78,1),(88,1),(148,1),(158,1),(161,1),(162,1),(168,1),(276,1),(278,1),(286,1),(399,1),(455,1),(462,1),(524,1),(526,1)}
       116:{1,4,6}:{(78,1),(79,1),(89,1),(159,1)}
       117:{2,4,6,7}:{(79,1),(80,1),(90,1),(160,1),(163,1),(170,1)}
       118:{2,3,4,5}:{(82,1),(165,1),(166,1),(282,1),(378,1),(394,1)}
       119:{1,2,4}:{(81,1),(167,1)}
       120:{1,4,5}:{(82,1),(85,1),(169,1)}
       121:{2,4,6}:{(82,1),(83,1),(86,1),(169,1),(170,1)}
       122:{1,3,4,7}:{(83,1),(87,1),(170,1),(477,1),(482,1)}
       123:{1,2,5}:{(84,1),(85,1)}
       124:{1,3,5,6}:{(85,1),(86,1),(89,1),(159,1),(169,1),(171,1),(172,1),(285,1)}
       125:{2,3,5,7}:{(86,1),(87,1),(90,1),(160,1),(170,1),(172,1),(396,1),(402,1)}
       126:{1,2,6}:{(88,1),(89,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(163,1),(172,1),(173,1)}
       128:{2,3,4,6}:{(91,1),(93,1),(176,1),(177,1),(182,1),(290,1),(404,1),(496,1)}
       129:{1,3,5}:{(91,1),(92,1),(177,1)}
       130:{1,2,4,5,6}:{(92,1),(95,1),(97,1),(178,1),(179,1),(189,1),(216,1),(290,1),(306,1),(316,1),(339,1),(424,1),(495,1)}
       131:{1,2,3,7}:{(175,1),(180,1),(498,1)}
       132:{1,3,4,7}:{(93,1),(176,1),(180,1),(181,1),(410,1),(498,1)}
       133:{2,3,5,7}:{(93,1),(94,1),(99,1),(177,1),(181,1),(182,1)}
       134:{1,3,6}:{(94,1),(95,1),(182,1)}
       135:{1,2,4,6,7}:{(95,1),(96,1),(101,1),(179,1),(183,1),(194,1),(417,1),(432,1),(503,1)}
       136:{1,2,3,6}:{(98,1),(188,1),(295,1),(311,1),(439,1)}
       137:{1,3,5,6}:{(97,1),(100,1),(102,1),(189,1),(190,1)}
       138:{1,4,5,7}:{(97,1),(101,1),(103,1),(190,1),(217,1)}
       139:{1,2,4,7}:{(98,1),(188,1),(191,1),(220,1),(288,1)}
       140:{1,4,5,7}:{(99,1),(181,1),(193,1),(289,1),(310,1),(410,1)}
       141:{2,4,6}:{(99,1),(100,1),(182,1),(189,1),(193,1)}
       142:{1,3,4,6,7}:{(100,1),(101,1),(106,1),(183,1),(190,1),(194,1),(291,1)}
       143:{2,4,5,6,7}:{(103,1),(108,1),(185,1),(195,1),(208,1),(301,1),(313,1),(432,1),(516,1)}
       144:{3,4,5,6}:{(102,1),(196,1),(197,1),(435,1),(514,1)}
       145:{2,3,5,6}:{(102,1),(105,1),(112,1),(189,1),(196,1),(199,1),(200,1),(514,1),(519,1),(544,1)}
       146:{3,5,7}:{(102,1),(103,1),(106,1)}
       147:{2,3,4,7}:{(114,1),(191,1),(198,1),(201,1),(221,1),(404,1),(437,1)}
       148:{2,4,5,7}:{(104,1),(201,1),(202,1),(222,1),(318,1),(320,1),(344,1),(405,1),(437,1),(497,1)}
       149:{1,3,4,6}:{(104,1),(105,1),(116,1),(193,1),(199,1),(202,1),(218,1),(311,1),(339,1),(429,1),(435,1),(517,1),(542,1)}
       150:{2,3,4,6,7}:{(105,1),(106,1),(117,1),(194,1),(200,1),(203,1),(224,1),(313,1),(321,1),(324,1),(407,1),(414,1),(437,1),(515,1),(520,1),(545,1)}
       151:{1,2,3,5,7}:{(107,1),(109,1),(204,1),(207,1),(228,1),(325,1),(340,1),(345,1),(451,1)}
       152:{1,2,4,6,7}:{(107,1),(111,1),(204,1),(206,1),(207,1),(326,1),(412,1),(500,1),(520,1)}
       153:{1,3,5,6,7}:{(108,1),(113,1),(195,1),(205,1),(208,1),(521,1)}
       154:{1,2,4,6}:{(109,1),(119,1),(204,1),(211,1),(212,1),(339,1),(450,1)}
       155:{2,4,5,6}:{(110,1),(112,1),(121,1),(210,1),(213,1),(214,1),(334,1),(450,1),(519,1)}
       156:{1,3,4,5,7}:{(110,1),(113,1),(122,1),(197,1),(205,1),(214,1),(317,1),(335,1),(436,1),(452,1),(521,1)}
       157:{1,3,4,6}:{(111,1),(114,1),(198,1),(215,1),(218,1),(339,1)}
       158:{1,2,5}:{(111,1),(215,1)}
       159:{1,5,6}:{(112,1),(116,1),(217,1)}
       160:{2,5,7}:{(112,1),(113,1),(117,1),(217,1)}
       161:{1,3,5,7}:{(114,1),(115,1),(201,1),(215,1),(218,1),(225,1),(345,1),(494,1),(541,1)}
       162:{1,2,4,6}:{(115,1),(116,1),(126,1),(202,1),(216,1),(218,1),(339,1),(500,1),(542,1)}
       163:{1,4,6,7}:{(116,1),(117,1),(127,1),(217,1),(227,1)}
       164:{1,2,3,5}:{(209,1),(220,1),(332,1),(341,1)}
       165:{1,3,4,5}:{(118,1),(120,1),(222,1),(223,1),(225,1),(341,1),(447,1)}
       166:{2,3,4,6}:{(118,1),(121,1),(210,1),(223,1),(224,1),(343,1),(435,1),(450,1)}
       167:{1,3,4}:{(119,1),(221,1),(225,1)}
       168:{1,2,4,5}:{(119,1),(120,1),(123,1),(222,1),(225,1),(226,1)}
       169:{1,4,6}:{(120,1),(121,1),(124,1),(227,1)}
       170:{2,4,7}:{(121,1),(122,1),(125,1),(227,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(126,1),(226,1),(228,1),(334,1)}
       172:{1,3,5,7}:{(124,1),(125,1),(127,1),(217,1),(227,1),(228,1),(345,1)}
       173:{1,2,6,7}:{(126,1),(127,1),(228,1),(442,1)}
       174:{1,3,4,5}:{(129,1),(230,1),(231,1),(276,1),(378,1)}
       175:{1,2,3,6}:{(131,1),(229,1),(232,1),(459,1)}
       176:{1,3,4,6}:{(128,1),(132,1),(232,1),(233,1),(237,1),(349,1),(351,1),(459,1)}
       177:{2,3,5}:{(128,1),(129,1),(230,1),(233,1)}
       178:{1,3,5,6}:{(129,1),(130,1),(134,1),(231,1),(234,1),(235,1),(379,1),(523,1)}
       179:{1,2,4,5,7}:{(130,1),(135,1),(138,1),(235,1),(248,1),(278,1),(352,1),(369,1),(380,1),(399,1),(474,1),(524,1)}
       180:{1,2,4,7}:{(131,1),(132,1),(232,1),(236,1)}
       181:{1,3,5,7}:{(132,1),(133,1),(140,1),(233,1),(236,1),(237,1)}
       182:{2,3,6}:{(133,1),(134,1),(141,1),(237,1)}
       183:{1,3,6,7}:{(134,1),(135,1),(235,1),(238,1),(479,1)}
       184:{1,2,3,6,7}:{(136,1),(239,1),(240,1),(262,1),(355,1),(373,1),(466,1),(530,1)}
       185:{1,4,5,6,7}:{(138,1),(143,1),(241,1),(268,1),(374,1),(533,1)}
       186:{1,2,3,5,6}:{(136,1),(229,1),(239,1),(242,1),(246,1),(353,1),(361,1),(367,1),(371,1),(459,1),(466,1),(473,1)}
       187:{1,3,4,5,6}:{(137,1),(144,1),(231,1),(243,1),(244,1),(255,1),(365,1),(379,1),(475,1),(531,1)}
       188:{1,2,4,6}:{(136,1),(139,1),(245,1),(246,1)}
       189:{2,5,6}:{(137,1),(141,1),(247,1),(248,1)}
       190:{1,3,5,7}:{(137,1),(138,1),(142,1),(146,1),(248,1)}
       191:{1,3,4,7}:{(139,1),(147,1),(245,1),(249,1),(280,1),(349,1),(477,1)}
       192:{1,2,4,5,7}:{(139,1),(140,1),(148,1),(236,1),(246,1),(249,1),(250,1),(281,1),(350,1),(370,1),(372,1),(384,1),(401,1),(460,1),(477,1),(483,1)}
       193:{1,4,6}:{(140,1),(141,1),(237,1),(247,1)}
       194:{2,4,6,7}:{(141,1),(142,1),(238,1),(248,1),(251,1),(352,1)}
       195:{3,5,6,7}:{(143,1),(146,1),(252,1),(479,1),(537,1)}
       196:{2,4,5,6}:{(144,1),(145,1),(255,1),(256,1),(381,1)}
       197:{3,4,5,7}:{(144,1),(146,1),(252,1),(256,1),(482,1),(537,1)}
       198:{2,3,4,6}:{(147,1),(157,1),(245,1),(257,1),(260,1),(381,1)}
       199:{1,3,5,6}:{(145,1),(149,1),(159,1),(247,1),(255,1),(258,1),(259,1),(379,1),(538,1),(549,1)}
       200:{2,3,5,7}:{(145,1),(146,1),(150,1),(160,1),(248,1),(256,1),(259,1),(537,1),(540,1),(551,1)}
       201:{2,3,5,7}:{(147,1),(148,1),(161,1),(249,1),(257,1),(260,1),(282,1),(402,1),(456,1),(525,1)}
       202:{2,4,6}:{(148,1),(149,1),(258,1),(260,1)}
       203:{1,3,4,6,7}:{(149,1),(150,1),(163,1),(251,1),(259,1),(261,1),(279,1),(284,1),(373,1),(374,1),(386,1),(399,1),(458,1),(464,1),(477,1),(479,1),(482,1),(539,1),(550,1)}
       204:{1,2,4,7}:{(151,1),(154,1),(263,1),(399,1),(493,1)}
       205:{1,3,4,6,7}:{(153,1),(156,1),(252,1),(265,1),(374,1),(386,1),(479,1)}
       206:{1,3,4,6,7}:{(152,1),(157,1),(253,1),(263,1),(266,1),(279,1),(388,1),(390,1),(399,1),(461,1),(527,1),(550,1)}
       207:{1,2,5,7}:{(152,1),(158,1),(266,1),(267,1),(540,1)}
       208:{2,5,6,7}:{(153,1),(160,1),(265,1),(268,1),(540,1)}
       209:{1,2,3,6}:{(164,1),(262,1),(269,1),(400,1)}
       210:{2,3,5,6}:{(155,1),(166,1),(271,1),(272,1),(379,1)}
       211:{1,3,4,6}:{(154,1),(167,1),(263,1),(270,1),(273,1),(285,1),(388,1)}
       212:{1,2,4,5}:{(154,1),(158,1),(273,1),(276,1),(394,1)}
       213:{1,4,5,6}:{(155,1),(159,1),(169,1),(271,1),(275,1),(491,1),(538,1)}
       214:{2,4,5,7}:{(155,1),(156,1),(160,1),(170,1),(265,1),(272,1),(275,1),(396,1),(493,1),(540,1)}
       215:{1,3,5}:{(157,1),(158,1),(257,1),(276,1)}
       216:{1,2,5,6}:{(158,1),(159,1),(162,1),(258,1),(277,1),(278,1),(549,1)}
       217:{1,5,7}:{(159,1),(160,1),(163,1)}
       218:{1,3,6}:{(161,1),(162,1),(260,1)}
       219:{1,2,4,6,7}:{(162,1),(163,1),(173,1),(261,1),(278,1),(279,1),(286,1),(399,1),(524,1),(528,1),(550,1)}
       220:{1,2,4}:{(164,1),(280,1)}
       221:{2,3,4}:{(167,1),(280,1),(282,1)}
       222:{2,4,5}:{(165,1),(282,1),(283,1)}
       223:{1,3,4,6}:{(165,1),(166,1),(169,1),(271,1),(283,1),(284,1),(285,1),(400,1),(491,1)}
       224:{2,3,4,7}:{(166,1),(170,1),(272,1),(284,1),(402,1),(482,1),(493,1)}
       225:{1,3,5}:{(167,1),(168,1),(282,1),(285,1)}
       226:{1,2,4,6}:{(168,1),(169,1),(171,1),(283,1),(285,1),(286,1)}
       227:{1,4,7}:{(169,1),(170,1),(172,1)}
       228:{1,2,5,7}:{(171,1),(172,1),(173,1),(286,1),(396,1)}
       229:{1,2,3,5}:{(175,1),(288,1),(292,1),(408,1)}
       230:{2,4,5}:{(174,1),(177,1),(289,1),(290,1)}
       231:{1,3,4,6}:{(174,1),(178,1),(290,1),(291,1),(339,1),(435,1)}
       232:{1,2,4,6}:{(175,1),(176,1),(180,1),(288,1),(292,1),(295,1)}
       233:{1,3,5}:{(176,1),(177,1),(289,1),(292,1)}
       234:{2,3,5,6}:{(177,1),(178,1),(182,1),(189,1),(290,1),(293,1),(294,1),(424,1),(496,1)}
       235:{1,3,5,7}:{(178,1),(179,1),(183,1),(291,1),(294,1),(436,1),(541,1)}
       236:{1,2,5,7}:{(180,1),(181,1),(292,1),(295,1)}
       237:{1,3,6}:{(181,1),(182,1),(193,1),(295,1)}
       238:{2,3,6,7}:{(182,1),(183,1),(194,1),(294,1),(296,1),(503,1)}
       239:{1,2,3,5,7}:{(184,1),(186,1),(297,1),(300,1),(411,1),(415,1),(430,1),(498,1),(512,1)}
       240:{1,2,4,6,7}:{(184,1),(188,1),(297,1),(299,1),(300,1),(322,1),(416,1),(439,1),(545,1)}
       241:{1,3,5,6,7}:{(185,1),(190,1),(195,1),(298,1),(301,1),(546,1)}
       242:{1,2,4,6}:{(186,1),(288,1),(297,1),(304,1),(305,1),(429,1),(511,1)}
       243:{2,4,5,6}:{(187,1),(189,1),(290,1),(303,1),(306,1),(307,1),(424,1),(511,1),(544,1)}
       244:{1,3,4,5,7}:{(187,1),(190,1),(197,1),(291,1),(298,1),(307,1),(317,1),(425,1),(436,1),(513,1),(546,1)}
       245:{1,3,4,6}:{(188,1),(191,1),(198,1),(308,1),(311,1),(429,1)}
       246:{1,2,5}:{(188,1),(308,1)}
       247:{1,5,6}:{(189,1),(193,1),(310,1)}
       248:{2,5,7}:{(189,1),(190,1),(194,1),(310,1)}
       249:{1,3,5,7}:{(191,1),(192,1),(201,1),(308,1),(311,1),(341,1),(408,1),(453,1),(498,1)}
       250:{1,2,4,6}:{(192,1),(193,1),(202,1),(295,1),(309,1),(311,1),(429,1),(439,1),(517,1)}
       251:{1,4,6,7}:{(193,1),(194,1),(296,1),(310,1),(410,1)}
       252:{3,4,6,7}:{(195,1),(197,1),(313,1)}
       253:{2,3,4,6,7}:{(198,1),(206,1),(299,1),(314,1),(321,1),(323,1),(413,1),(433,1),(437,1),(441,1),(502,1),(515,1),(520,1),(545,1)}
       254:{2,3,5,6,7}:{(195,1),(200,1),(208,1),(301,1),(313,1),(315,1),(324,1),(414,1)}
       255:{1,4,5,6}:{(196,1),(199,1),(316,1),(317,1),(339,1),(429,1)}
       256:{2,4,5,7}:{(196,1),(197,1),(200,1),(313,1),(317,1),(437,1)}
       257:{2,3,5}:{(198,1),(215,1),(308,1),(318,1)}
       258:{2,5,6}:{(199,1),(202,1),(320,1)}
       259:{1,3,5,7}:{(199,1),(200,1),(203,1),(217,1),(310,1),(317,1),(320,1),(436,1),(548,1),(552,1)}
       260:{2,3,6}:{(201,1),(202,1),(218,1),(311,1)}
       261:{2,4,6,7}:{(202,1),(203,1),(320,1),(321,1),(344,1),(437,1),(442,1),(497,1),(503,1)}
       262:{1,2,3,7}:{(209,1),(322,1),(453,1)}
       263:{1,3,4,7}:{(204,1),(211,1),(323,1),(325,1),(345,1)}
       264:{1,2,4,5,7}:{(204,1),(207,1),(212,1),(325,1),(326,1),(328,1),(440,1)}
       265:{2,4,6,7}:{(205,1),(208,1),(214,1),(324,1),(327,1),(442,1)}
       266:{1,3,5,7}:{(206,1),(207,1),(215,1),(314,1),(328,1),(329,1),(552,1)}
       267:{1,2,5,6}:{(207,1),(326,1),(329,1),(500,1),(519,1)}
       268:{1,5,6,7}:{(208,1),(217,1),(327,1),(548,1)}
       269:{1,2,4,6}:{(209,1),(220,1),(322,1),(331,1),(332,1),(439,1)}
       270:{2,3,4,6}:{(211,1),(221,1),(323,1),(331,1),(333,1),(343,1),(441,1),(450,1)}
       271:{1,3,5,6}:{(210,1),(213,1),(223,1),(334,1),(335,1)}
       272:{2,3,5,7}:{(210,1),(214,1),(224,1),(324,1),(335,1),(436,1)}
       273:{1,3,5}:{(211,1),(212,1),(333,1)}
       274:{1,2,4,5,6}:{(212,1),(213,1),(216,1),(226,1),(316,1),(326,1),(334,1),(337,1),(338,1),(339,1),(445,1),(450,1),(519,1)}
       275:{1,4,5,7}:{(213,1),(214,1),(217,1),(227,1),(327,1),(335,1),(522,1),(548,1)}
       276:{1,4,5}:{(215,1),(318,1),(339,1)}
       277:{1,3,5,6}:{(215,1),(216,1),(218,1),(319,1),(339,1),(340,1)}
       278:{1,2,5,7}:{(216,1),(217,1),(219,1),(320,1),(340,1),(552,1)}
       279:{1,3,6,7}:{(218,1),(219,1),(321,1),(340,1),(345,1),(541,1)}
       280:{1,3,4}:{(220,1),(221,1),(341,1)}
       281:{1,2,4,5}:{(220,1),(222,1),(332,1),(341,1),(342,1),(447,1)}
       282:{2,3,5}:{(221,1),(222,1),(225,1),(341,1),(343,1)}
       283:{2,4,6}:{(222,1),(223,1),(334,1),(343,1),(344,1)}
       284:{1,3,4,7}:{(223,1),(224,1),(227,1),(335,1),(344,1),(345,1),(453,1),(522,1)}
       285:{1,3,6}:{(225,1),(226,1),(343,1),(345,1)}
       286:{1,2,4,7}:{(226,1),(227,1),(228,1),(344,1),(345,1)}
       287:{2,3,4,5}:{(230,1),(347,1),(348,1),(378,1),(456,1),(472,1)}
       288:{1,2,4}:{(229,1),(349,1)}
       289:{1,4,5}:{(230,1),(233,1),(351,1)}
       290:{2,4,6}:{(230,1),(231,1),(234,1),(351,1),(352,1)}
       291:{1,3,4,7}:{(231,1),(235,1),(352,1),(399,1),(482,1)}
       292:{1,2,5}:{(232,1),(233,1)}
       293:{1,3,5,6}:{(233,1),(234,1),(237,1),(247,1),(351,1),(353,1),(354,1),(459,1)}
       294:{2,3,5,7}:{(234,1),(235,1),(238,1),(248,1),(352,1),(354,1),(474,1),(525,1)}
       295:{1,2,6}:{(236,1),(237,1)}
       296:{1,3,6,7}:{(237,1),(238,1),(251,1),(354,1),(355,1)}
       297:{1,2,4,7}:{(239,1),(242,1),(357,1),(477,1),(536,1)}
       298:{1,3,4,6,7}:{(241,1),(244,1),(252,1),(359,1),(374,1),(464,1),(479,1)}
       299:{1,3,4,6,7}:{(240,1),(245,1),(253,1),(357,1),(360,1),(373,1),(383,1),(466,1),(468,1),(477,1),(484,1),(539,1)}
       300:{1,2,5,7}:{(240,1),(246,1),(360,1),(361,1),(551,1)}
       301:{2,5,6,7}:{(241,1),(248,1),(359,1),(362,1),(551,1)}
       302:{1,2,3,6}:{(346,1),(356,1),(363,1),(523,1)}
       303:{2,3,5,6}:{(243,1),(348,1),(365,1),(366,1),(379,1)}
       304:{1,3,4,6}:{(242,1),(349,1),(357,1),(364,1),(367,1),(459,1),(466,1)}
       305:{1,2,4,5}:{(242,1),(246,1),(367,1),(370,1),(472,1)}
       306:{1,4,5,6}:{(243,1),(247,1),(351,1),(365,1),(369,1),(534,1),(549,1)}
       307:{2,4,5,7}:{(243,1),(244,1),(248,1),(352,1),(359,1),(366,1),(369,1),(474,1),(536,1),(551,1)}
       308:{1,3,5}:{(245,1),(246,1),(257,1),(370,1)}
       309:{1,2,5,6}:{(246,1),(247,1),(250,1),(258,1),(371,1),(372,1),(538,1)}
       310:{1,5,7}:{(247,1),(248,1),(251,1)}
       311:{1,3,6}:{(249,1),(250,1),(260,1)}
       312:{1,2,4,6,7}:{(250,1),(251,1),(261,1),(355,1),(372,1),(373,1),(401,1),(460,1),(477,1),(485,1),(539,1)}
       313:{2,4,6,7}:{(252,1),(254,1),(256,1),(374,1)}
       314:{2,3,5,7}:{(253,1),(257,1),(266,1),(360,1),(375,1),(376,1),(537,1),(540,1),(551,1)}
       315:{1,3,5,6,7}:{(254,1),(259,1),(268,1),(362,1),(374,1),(377,1),(386,1),(464,1),(479,1)}
       316:{2,4,5,6}:{(255,1),(258,1),(379,1),(380,1),(381,1)}
       317:{1,4,5,7}:{(255,1),(256,1),(259,1),(374,1),(380,1),(399,1),(477,1)}
       318:{2,4,5}:{(257,1),(276,1),(370,1),(378,1),(381,1)}
       319:{2,3,5,6}:{(257,1),(258,1),(260,1),(277,1),(371,1),(379,1),(381,1),(382,1)}
       320:{2,5,7}:{(258,1),(259,1),(261,1)}
       321:{2,3,6,7}:{(260,1),(261,1),(279,1),(373,1),(382,1),(402,1),(479,1),(525,1)}
       322:{1,2,4,7}:{(262,1),(269,1),(383,1),(384,1)}
       323:{2,3,4,7}:{(263,1),(270,1),(383,1),(385,1),(402,1),(493,1)}
       324:{2,3,6,7}:{(265,1),(272,1),(386,1),(479,1)}
       325:{1,3,5,7}:{(263,1),(264,1),(273,1),(385,1),(388,1)}
       326:{1,2,4,6}:{(264,1),(267,1),(388,1),(390,1),(486,1)}
       327:{1,4,6,7}:{(265,1),(268,1),(275,1),(386,1)}
       328:{1,4,5,7}:{(266,1),(276,1),(375,1),(390,1),(399,1)}
       329:{1,3,5,6}:{(266,1),(267,1),(376,1),(388,1),(390,1),(527,1),(549,1)}
       330:{1,2,5,6,7}:{(267,1),(268,1),(278,1),(377,1),(389,1),(391,1),(528,1),(540,1)}
       331:{1,3,4,6}:{(269,1),(270,1),(280,1),(383,1),(392,1),(400,1),(484,1),(491,1)}
       332:{1,2,5}:{(269,1),(392,1)}
       333:{2,3,5}:{(270,1),(273,1),(392,1),(394,1)}
       334:{2,5,6}:{(271,1),(283,1),(396,1)}
       335:{1,3,5,7}:{(271,1),(272,1),(275,1),(284,1),(386,1),(396,1)}
       336:{1,3,4,5}:{(273,1),(276,1),(378,1),(394,1),(397,1)}
       337:{1,3,5,6}:{(273,1),(274,1),(285,1),(379,1),(388,1),(395,1),(397,1),(398,1)}
       338:{1,2,4,5,7}:{(274,1),(275,1),(278,1),(286,1),(380,1),(389,1),(396,1),(398,1),(399,1),(490,1),(493,1),(540,1)}
       339:{1,4,6}:{(276,1),(277,1),(381,1),(399,1)}
       340:{1,3,5,7}:{(277,1),(278,1),(279,1),(382,1),(399,1)}
       341:{1,3,5}:{(280,1),(281,1),(282,1),(400,1)}
       342:{1,2,4,6}:{(281,1),(283,1),(393,1),(400,1),(401,1),(491,1)}
       343:{2,3,6}:{(282,1),(283,1),(285,1),(400,1),(402,1)}
       344:{2,4,7}:{(283,1),(284,1),(396,1),(402,1)}
       345:{1,3,7}:{(285,1),(286,1),(402,1)}
       346:{1,2,3,5}:{(302,1),(403,1),(422,1),(494,1)}
       347:{1,3,4,5}:{(287,1),(289,1),(405,1),(406,1),(408,1),(494,1),(508,1)}
       348:{2,3,4,6}:{(287,1),(290,1),(303,1),(406,1),(407,1),(435,1),(496,1),(511,1)}
       349:{1,3,4}:{(288,1),(404,1),(408,1)}
       350:{1,2,4,5}:{(288,1),(289,1),(292,1),(405,1),(408,1),(409,1)}
       351:{1,4,6}:{(289,1),(290,1),(293,1),(410,1)}
       352:{2,4,7}:{(290,1),(291,1),(294,1),(410,1)}
       353:{1,2,5,6}:{(292,1),(293,1),(295,1),(409,1),(411,1),(424,1)}
       354:{1,3,5,7}:{(293,1),(294,1),(296,1),(310,1),(410,1),(411,1),(498,1)}
       355:{1,2,6,7}:{(295,1),(296,1),(411,1),(503,1)}
       356:{1,2,3,7}:{(302,1),(412,1),(541,1)}
       357:{1,3,4,7}:{(297,1),(304,1),(413,1),(415,1),(498,1)}
       358:{1,2,4,5,7}:{(297,1),(300,1),(305,1),(415,1),(416,1),(418,1),(501,1)}
       359:{2,4,6,7}:{(298,1),(301,1),(307,1),(414,1),(417,1),(503,1)}
       360:{1,3,5,7}:{(299,1),(300,1),(308,1),(314,1),(418,1),(419,1),(548,1)}
       361:{1,2,5,6}:{(300,1),(416,1),(419,1),(439,1),(544,1)}
       362:{1,5,6,7}:{(301,1),(310,1),(417,1),(552,1)}
       363:{1,2,4,6}:{(302,1),(403,1),(412,1),(421,1),(422,1),(500,1)}
       364:{2,3,4,6}:{(304,1),(404,1),(413,1),(421,1),(423,1),(496,1),(502,1),(511,1)}
       365:{1,3,5,6}:{(303,1),(306,1),(406,1),(424,1),(425,1)}
       366:{2,3,5,7}:{(303,1),(307,1),(407,1),(414,1),(425,1),(436,1)}
       367:{1,3,5}:{(304,1),(305,1),(423,1)}
       368:{1,2,4,5,6}:{(305,1),(306,1),(309,1),(316,1),(409,1),(416,1),(424,1),(427,1),(428,1),(429,1),(506,1),(511,1),(544,1)}
       369:{1,4,5,7}:{(306,1),(307,1),(310,1),(410,1),(417,1),(425,1),(547,1),(552,1)}
       370:{1,4,5}:{(308,1),(318,1),(429,1)}
       371:{1,3,5,6}:{(308,1),(309,1),(311,1),(319,1),(429,1),(430,1)}
       372:{1,2,5,7}:{(309,1),(310,1),(312,1),(320,1),(430,1),(548,1)}
       373:{1,3,6,7}:{(311,1),(312,1),(321,1),(430,1),(453,1),(498,1)}
       374:{1,4,6,7}:{(313,1),(315,1),(317,1),(432,1)}
       375:{2,4,5,7}:{(314,1),(318,1),(328,1),(418,1),(431,1),(433,1),(437,1)}
       376:{2,3,5,6}:{(314,1),(329,1),(419,1),(433,1),(441,1),(502,1),(514,1),(519,1),(544,1)}
       377:{2,5,6,7}:{(315,1),(320,1),(432,1),(442,1),(503,1)}
       378:{3,4,5}:{(318,1),(435,1)}
       379:{3,5,6}:{(316,1),(435,1),(436,1)}
       380:{2,4,5,7}:{(316,1),(317,1),(320,1),(432,1),(436,1),(437,1)}
       381:{2,4,6}:{(318,1),(319,1),(339,1),(429,1),(435,1),(437,1)}
       382:{2,3,5,7}:{(319,1),(320,1),(321,1),(340,1),(430,1),(436,1),(437,1)}
       383:{1,3,4,7}:{(322,1),(323,1),(331,1),(438,1),(453,1),(522,1)}
       384:{1,2,5,7}:{(322,1),(332,1),(438,1),(439,1)}
       385:{2,3,5,7}:{(323,1),(325,1),(333,1),(438,1),(440,1),(441,1)}
       386:{1,3,6,7}:{(324,1),(327,1),(335,1),(442,1)}
       387:{1,3,4,5,7}:{(325,1),(328,1),(336,1),(431,1),(440,1),(443,1),(452,1),(521,1)}
       388:{1,3,6}:{(325,1),(326,1),(441,1)}
       389:{1,2,4,6,7}:{(326,1),(327,1),(330,1),(338,1),(432,1),(442,1),(444,1),(446,1),(520,1)}
       390:{1,4,6}:{(328,1),(329,1),(433,1)}
       391:{1,3,5,6,7}:{(329,1),(330,1),(340,1),(434,1),(444,1),(446,1),(521,1),(543,1),(552,1)}
       392:{1,3,5}:{(331,1),(332,1),(333,1),(447,1)}
       393:{1,2,5,6}:{(332,1),(334,1),(342,1),(439,1),(448,1),(449,1)}
       394:{2,4,5}:{(333,1),(336,1),(447,1),(450,1)}
       395:{2,3,5,6}:{(333,1),(334,1),(337,1),(343,1),(441,1),(448,1),(450,1),(451,1),(519,1)}
       396:{2,5,7}:{(334,1),(335,1),(344,1),(442,1)}
       397:{1,3,4,6}:{(336,1),(337,1),(339,1),(435,1),(450,1),(452,1)}
       398:{1,3,5,7}:{(337,1),(338,1),(345,1),(436,1),(444,1),(451,1),(452,1)}
       399:{1,4,7}:{(339,1),(340,1),(437,1)}
       400:{1,3,6}:{(341,1),(342,1),(343,1),(453,1)}
       401:{1,2,4,7}:{(342,1),(344,1),(449,1),(453,1),(522,1)}
       402:{2,3,7}:{(343,1),(344,1),(345,1),(453,1)}
       403:{1,2,4}:{(346,1),(454,1)}
       404:{2,3,4}:{(349,1),(454,1),(456,1)}
       405:{2,4,5}:{(347,1),(456,1),(457,1)}
       406:{1,3,4,6}:{(347,1),(348,1),(351,1),(365,1),(457,1),(458,1),(459,1),(523,1),(534,1)}
       407:{2,3,4,7}:{(348,1),(352,1),(366,1),(458,1),(482,1),(525,1),(536,1)}
       408:{1,3,5}:{(349,1),(350,1),(456,1),(459,1)}
       409:{1,2,4,6}:{(350,1),(351,1),(353,1),(457,1),(459,1),(460,1)}
       410:{1,4,7}:{(351,1),(352,1),(354,1)}
       411:{1,2,5,7}:{(353,1),(354,1),(355,1),(460,1),(474,1)}
       412:{1,2,4,7}:{(356,1),(363,1),(461,1),(462,1)}
       413:{2,3,4,7}:{(357,1),(364,1),(461,1),(463,1),(525,1),(536,1)}
       414:{2,3,6,7}:{(359,1),(366,1),(464,1),(479,1)}
       415:{1,3,5,7}:{(357,1),(358,1),(367,1),(463,1),(466,1)}
       416:{1,2,4,6}:{(358,1),(361,1),(466,1),(468,1),(529,1)}
       417:{1,4,6,7}:{(359,1),(362,1),(369,1),(464,1)}
       418:{1,4,5,7}:{(360,1),(370,1),(375,1),(468,1),(477,1)}
       419:{1,3,5,6}:{(360,1),(361,1),(376,1),(466,1),(468,1),(484,1),(538,1)}
       420:{1,2,5,6,7}:{(361,1),(362,1),(372,1),(377,1),(467,1),(469,1),(485,1),(551,1)}
       421:{1,3,4,6}:{(363,1),(364,1),(454,1),(461,1),(470,1),(523,1),(527,1),(534,1)}
       422:{1,2,5}:{(363,1),(470,1)}
       423:{2,3,5}:{(364,1),(367,1),(470,1),(472,1)}
       424:{2,5,6}:{(365,1),(457,1),(474,1)}
       425:{1,3,5,7}:{(365,1),(366,1),(369,1),(458,1),(464,1),(474,1)}
       426:{1,3,4,5}:{(367,1),(370,1),(378,1),(472,1),(475,1)}
       427:{1,3,5,6}:{(367,1),(368,1),(379,1),(459,1),(466,1),(473,1),(475,1),(476,1)}
       428:{1,2,4,5,7}:{(368,1),(369,1),(372,1),(380,1),(460,1),(467,1),(474,1),(476,1),(477,1),(533,1),(536,1),(551,1)}
       429:{1,4,6}:{(370,1),(371,1),(381,1),(477,1)}
       430:{1,3,5,7}:{(371,1),(372,1),(373,1),(382,1),(477,1)}
       431:{3,4,5,7}:{(375,1),(378,1),(478,1),(482,1),(537,1)}
       432:{2,4,6,7}:{(374,1),(377,1),(380,1),(479,1)}
       433:{2,4,6}:{(375,1),(376,1),(390,1),(468,1),(478,1)}
       434:{2,3,5,6,7}:{(376,1),(377,1),(382,1),(391,1),(469,1),(479,1),(481,1),(487,1),(530,1),(537,1),(540,1),(551,1)}
       435:{3,4,6}:{(378,1),(379,1),(381,1),(482,1)}
       436:{3,5,7}:{(379,1),(380,1),(479,1),(482,1)}
       437:{2,4,7}:{(381,1),(382,1),(399,1),(477,1),(482,1)}
       438:{1,3,5,7}:{(383,1),(384,1),(385,1),(392,1),(483,1),(484,1)}
       439:{1,2,6}:{(384,1),(484,1)}
       440:{2,4,5,7}:{(385,1),(387,1),(394,1),(483,1),(486,1),(493,1),(540,1)}
       441:{2,3,6}:{(385,1),(388,1),(484,1),(486,1)}
       442:{2,6,7}:{(386,1),(396,1)}
       443:{1,3,4,6}:{(387,1),(388,1),(390,1),(478,1),(486,1),(488,1)}
       444:{1,3,6,7}:{(388,1),(389,1),(398,1),(479,1),(487,1)}
       445:{1,4,5,6}:{(390,1),(480,1),(488,1),(490,1),(549,1)}
       446:{1,4,6,7}:{(390,1),(391,1),(399,1),(481,1),(490,1)}
       447:{1,4,5}:{(392,1),(394,1),(491,1)}
       448:{1,3,5,6}:{(392,1),(393,1),(395,1),(400,1),(484,1),(491,1),(492,1),(538,1)}
       449:{1,2,5,7}:{(393,1),(396,1),(401,1),(485,1),(492,1)}
       450:{2,4,6}:{(394,1),(395,1),(397,1),(491,1),(493,1)}
       451:{2,3,5,7}:{(395,1),(396,1),(398,1),(402,1),(487,1),(492,1),(493,1),(540,1)}
       452:{1,3,4,7}:{(397,1),(398,1),(399,1),(482,1),(493,1)}
       453:{1,3,7}:{(400,1),(401,1),(402,1)}
       454:{1,3,4}:{(403,1),(404,1),(494,1)}
       455:{1,2,4,5}:{(403,1),(405,1),(422,1),(494,1),(495,1),(508,1)}
       456:{2,3,5}:{(404,1),(405,1),(408,1),(494,1),(496,1)}
       457:{2,4,6}:{(405,1),(406,1),(424,1),(496,1),(497,1)}
       458:{1,3,4,7}:{(406,1),(407,1),(410,1),(425,1),(497,1),(498,1),(541,1),(547,1)}
       459:{1,3,6}:{(408,1),(409,1),(496,1),(498,1)}
       460:{1,2,4,7}:{(409,1),(410,1),(411,1),(497,1),(498,1)}
       461:{1,3,4,7}:{(412,1),(413,1),(421,1),(499,1),(541,1),(547,1)}
       462:{1,2,5,7}:{(412,1),(422,1),(499,1),(500,1)}
       463:{2,3,5,7}:{(413,1),(415,1),(423,1),(499,1),(501,1),(502,1)}
       464:{1,3,6,7}:{(414,1),(417,1),(425,1),(503,1)}
       465:{1,3,4,5,7}:{(415,1),(418,1),(426,1),(431,1),(501,1),(504,1),(513,1),(546,1)}
       466:{1,3,6}:{(415,1),(416,1),(502,1)}
       467:{1,2,4,6,7}:{(416,1),(417,1),(420,1),(428,1),(432,1),(503,1),(505,1),(507,1),(545,1)}
       468:{1,4,6}:{(418,1),(419,1),(433,1)}
       469:{1,3,5,6,7}:{(419,1),(420,1),(430,1),(434,1),(505,1),(507,1),(518,1),(546,1),(548,1)}
       470:{1,3,5}:{(421,1),(422,1),(423,1),(508,1)}
       471:{1,2,5,6}:{(422,1),(424,1),(495,1),(500,1),(509,1),(510,1)}
       472:{2,4,5}:{(423,1),(426,1),(508,1),(511,1)}
       473:{2,3,5,6}:{(423,1),(424,1),(427,1),(496,1),(502,1),(509,1),(511,1),(512,1),(544,1)}
       474:{2,5,7}:{(424,1),(425,1),(497,1),(503,1)}
       475:{1,3,4,6}:{(426,1),(427,1),(429,1),(435,1),(511,1),(513,1)}
       476:{1,3,5,7}:{(427,1),(428,1),(436,1),(498,1),(505,1),(512,1),(513,1)}
       477:{1,4,7}:{(429,1),(430,1),(437,1)}
       478:{3,4,6}:{(431,1),(433,1),(514,1)}
       479:{3,6,7}:{(432,1),(436,1)}
       480:{2,4,5,6}:{(433,1),(445,1),(506,1),(514,1),(516,1),(519,1),(544,1)}
       481:{2,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(507,1),(515,1),(516,1)}
       482:{3,4,7}:{(435,1),(436,1),(437,1)}
       483:{1,4,5,7}:{(438,1),(440,1),(447,1),(517,1),(522,1),(548,1)}
       484:{1,3,6}:{(438,1),(439,1),(441,1),(517,1)}
       485:{1,2,6,7}:{(439,1),(442,1),(449,1),(518,1)}
       486:{2,4,6}:{(440,1),(441,1),(443,1),(517,1),(519,1)}
       487:{2,3,6,7}:{(441,1),(442,1),(444,1),(451,1),(518,1),(520,1)}
       488:{1,3,5,6}:{(443,1),(445,1),(514,1),(519,1),(521,1)}
       489:{1,3,4,6,7}:{(443,1),(444,1),(446,1),(452,1),(515,1),(520,1),(521,1)}
       490:{1,4,5,7}:{(445,1),(446,1),(516,1),(521,1),(552,1)}
       491:{1,4,6}:{(447,1),(448,1),(450,1),(522,1)}
       492:{1,3,5,7}:{(448,1),(449,1),(451,1),(453,1),(518,1),(522,1),(548,1)}
       493:{2,4,7}:{(450,1),(451,1),(452,1),(522,1)}
       494:{1,3,5}:{(454,1),(455,1),(456,1),(523,1)}
       495:{1,2,4,6}:{(455,1),(457,1),(471,1),(523,1),(524,1),(534,1)}
       496:{2,3,6}:{(456,1),(457,1),(459,1),(523,1),(525,1)}
       497:{2,4,7}:{(457,1),(458,1),(474,1),(525,1)}
       498:{1,3,7}:{(459,1),(460,1),(525,1)}
       499:{1,3,5,7}:{(461,1),(462,1),(463,1),(470,1),(526,1),(527,1)}
       500:{1,2,6}:{(462,1),(527,1)}
       501:{2,4,5,7}:{(463,1),(465,1),(472,1),(526,1),(529,1),(536,1),(551,1)}
       502:{2,3,6}:{(463,1),(466,1),(527,1),(529,1)}
       503:{2,6,7}:{(464,1),(474,1)}
       504:{1,3,4,6}:{(465,1),(466,1),(468,1),(478,1),(529,1),(531,1)}
       505:{1,3,6,7}:{(466,1),(467,1),(476,1),(479,1),(530,1)}
       506:{1,4,5,6}:{(468,1),(480,1),(531,1),(533,1),(538,1)}
       507:{1,4,6,7}:{(468,1),(469,1),(477,1),(481,1),(533,1)}
       508:{1,4,5}:{(470,1),(472,1),(534,1)}
       509:{1,3,5,6}:{(470,1),(471,1),(473,1),(523,1),(527,1),(534,1),(535,1),(549,1)}
       510:{1,2,5,7}:{(471,1),(474,1),(524,1),(528,1),(535,1)}
       511:{2,4,6}:{(472,1),(473,1),(475,1),(534,1),(536,1)}
       512:{2,3,5,7}:{(473,1),(474,1),(476,1),(525,1),(530,1),(535,1),(536,1),(551,1)}
       513:{1,3,4,7}:{(475,1),(476,1),(477,1),(482,1),(536,1)}
       514:{3,5,6}:{(478,1),(480,1),(537,1)}
       515:{3,4,6,7}:{(478,1),(479,1),(481,1),(482,1),(537,1)}
       516:{2,4,5,7}:{(480,1),(481,1),(490,1),(533,1),(537,1),(540,1),(551,1)}
       517:{1,4,6}:{(483,1),(484,1),(486,1),(538,1)}
       518:{1,3,6,7}:{(484,1),(485,1),(487,1),(492,1),(539,1)}
       519:{2,5,6}:{(486,1),(488,1),(538,1),(540,1)}
       520:{2,4,6,7}:{(486,1),(487,1),(489,1),(493,1),(539,1),(540,1)}
       521:{1,3,5,7}:{(488,1),(489,1),(490,1),(537,1),(540,1)}
       522:{1,4,7}:{(491,1),(492,1),(493,1)}
       523:{1,3,6}:{(494,1),(495,1),(496,1),(541,1)}
       524:{1,2,4,7}:{(495,1),(497,1),(510,1),(541,1),(547,1)}
       525:{2,3,7}:{(496,1),(497,1),(498,1),(541,1)}
       526:{1,4,5,7}:{(499,1),(501,1),(508,1),(542,1),(547,1),(552,1)}
       527:{1,3,6}:{(499,1),(500,1),(502,1),(542,1)}
       528:{1,2,6,7}:{(500,1),(503,1),(510,1),(543,1)}
       529:{2,4,6}:{(501,1),(502,1),(504,1),(542,1),(544,1)}
       530:{2,3,6,7}:{(502,1),(503,1),(505,1),(512,1),(543,1),(545,1)}
       531:{1,3,5,6}:{(504,1),(506,1),(514,1),(544,1),(546,1)}
       532:{1,3,4,6,7}:{(504,1),(505,1),(507,1),(513,1),(515,1),(545,1),(546,1)}
       533:{1,4,5,7}:{(506,1),(507,1),(516,1),(546,1),(548,1)}
       534:{1,4,6}:{(508,1),(509,1),(511,1),(547,1)}
       535:{1,3,5,7}:{(509,1),(510,1),(512,1),(541,1),(543,1),(547,1),(552,1)}
       536:{2,4,7}:{(511,1),(512,1),(513,1),(547,1)}
       537:{3,5,7}:{(514,1),(515,1),(516,1)}
       538:{1,5,6}:{(517,1),(519,1),(548,1)}
       539:{1,4,6,7}:{(517,1),(518,1),(520,1),(522,1),(548,1)}
       540:{2,5,7}:{(519,1),(520,1),(521,1),(548,1)}
       541:{1,3,7}:{(523,1),(524,1),(525,1)}
       542:{1,4,6}:{(526,1),(527,1),(529,1),(549,1)}
       543:{1,3,6,7}:{(527,1),(528,1),(530,1),(535,1),(550,1)}
       544:{2,5,6}:{(529,1),(531,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(529,1),(530,1),(532,1),(536,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(531,1),(532,1),(533,1),(537,1),(551,1)}
       547:{1,4,7}:{(534,1),(535,1),(536,1)}
       548:{1,5,7}:{(538,1),(539,1),(540,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

1469 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(24,1),(31,1),(32,1),(194,1),(204,1),(221,1),(325,1),(327,1),(417,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(273,1),(376,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(41,1),(242,1),(256,1),(360,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(417,1),(419,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(204,1),(222,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(61,1),(406,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(65,1),(294,1),(309,1),(325,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(38,1),(83,1),(103,1),(104,1),(151,1),(159,1),(277,1),(280,1),(376,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(46,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(38,1),(50,1),(160,1),(177,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(256,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(90,1),(373,1),(387,1),(388,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(31,1),(204,1),(331,1)}
        14:{1,2,4,5,7}:{(7,1),(25,1),(26,1),(61,1),(117,1),(126,1),(127,1),(196,1),(205,1),(310,1),(314,1),(406,1)}
        15:{1,3,4,5}:{(8,1),(23,1),(27,1),(419,1),(422,1)}
        16:{2,3,5}:{(8,1),(10,1),(27,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(71,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(60,1),(75,1),(123,1),(138,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(61,1),(207,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(309,1),(323,1),(326,1),(339,1),(340,1),(406,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(126,1),(417,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(38,1),(39,1),(376,1),(379,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(38,1),(40,1),(41,1),(50,1),(103,1),(151,1),(160,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(42,1),(256,1),(365,1)}
        26:{1,2,4,6,7}:{(14,1),(18,1),(42,1),(43,1),(90,1),(96,1),(156,1),(245,1),(349,1)}
        27:{2,4,5}:{(15,1),(16,1),(38,1),(45,1)}
        28:{1,3,4,5,7}:{(15,1),(17,1),(39,1),(46,1),(47,1),(56,1),(91,1),(113,1)}
        29:{1,3,5}:{(16,1),(19,1),(45,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(103,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(89,1),(165,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(90,1),(109,1),(174,1),(260,1),(272,1),(278,1),(288,1),(290,1),(364,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(371,1),(375,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(72,1),(114,1),(199,1),(228,1),(229,1),(331,1),(398,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(60,1),(61,1)}
        39:{1,3,4,7}:{(23,1),(25,1),(61,1),(406,1),(410,1)}
        40:{1,3,5,6}:{(24,1),(29,1),(60,1),(63,1),(64,1),(75,1),(123,1),(141,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(126,1),(196,1),(207,1)}
        42:{1,3,6,7}:{(25,1),(26,1),(31,1),(65,1),(396,1)}
        43:{1,2,5,6,7}:{(26,1),(32,1),(66,1),(126,1),(202,1),(298,1),(310,1),(416,1)}
        44:{2,3,4,5}:{(27,1),(59,1),(67,1),(134,1),(295,1),(422,1)}
        45:{1,4,5}:{(27,1),(29,1),(60,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(30,1),(61,1),(70,1),(71,1),(126,1)}
        47:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(77,1),(147,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(70,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(71,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(336,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(123,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(125,1),(146,1),(213,1),(230,1),(236,1),(238,1),(318,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(126,1),(216,1),(320,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(406,1),(419,1)}
        57:{2,4,5,6}:{(37,1),(38,1),(82,1),(83,1),(84,1),(103,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(39,1),(84,1),(85,1),(91,1),(152,1),(249,1),(262,1),(263,1),(352,1),(365,1)}
        59:{2,3,4,6}:{(38,1),(44,1),(82,1),(86,1),(87,1),(160,1),(243,1),(379,1)}
        60:{1,4,6}:{(38,1),(40,1),(45,1),(89,1)}
        61:{2,4,7}:{(38,1),(39,1),(41,1),(89,1)}
        62:{1,3,4,6,7}:{(39,1),(42,1),(47,1),(90,1),(91,1),(96,1),(174,1)}
        63:{1,2,5,6}:{(40,1),(48,1),(88,1),(93,1),(107,1),(151,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(89,1),(93,1),(94,1),(165,1),(167,1)}
        65:{2,3,6,7}:{(41,1),(42,1),(50,1),(90,1),(94,1),(245,1)}
        66:{1,3,5,6,7}:{(42,1),(43,1),(51,1),(91,1),(95,1),(96,1),(360,1),(371,1),(372,1)}
        67:{1,3,4,5}:{(44,1),(45,1),(86,1),(97,1),(100,1),(175,1),(342,1)}
        68:{2,3,4,5,7}:{(44,1),(46,1),(87,1),(98,1),(99,1),(113,1),(163,1),(178,1),(193,1),(346,1),(364,1),(378,1),(449,1),(450,1),(459,1),(504,1)}
        69:{1,2,4,5}:{(45,1),(48,1),(88,1),(97,1),(100,1),(105,1)}
        70:{1,4,5,7}:{(45,1),(46,1),(49,1),(89,1),(102,1),(167,1)}
        71:{2,4,6}:{(46,1),(47,1),(50,1),(102,1),(103,1)}
        72:{1,3,5,6}:{(47,1),(91,1),(103,1),(104,1),(186,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(100,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(102,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(103,1),(108,1),(109,1),(186,1),(285,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(165,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(272,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(167,1),(282,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(364,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(331,1)}
        83:{1,4,5,6}:{(57,1),(60,1),(114,1),(117,1),(141,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(61,1),(115,1),(117,1),(118,1),(126,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(67,1),(114,1),(120,1),(121,1),(123,1),(204,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(61,1),(115,1),(121,1),(207,1),(296,1),(410,1)}
        88:{1,2,4,6}:{(60,1),(63,1),(69,1),(120,1),(123,1),(124,1)}
        89:{1,4,7}:{(60,1),(61,1),(64,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(65,1),(71,1),(125,1),(126,1)}
        91:{1,3,5,7}:{(62,1),(72,1),(126,1),(127,1),(216,1)}
        92:{1,2,3,5,6}:{(63,1),(73,1),(123,1),(128,1),(129,1),(144,1),(195,1),(211,1),(231,1),(234,1),(316,1),(321,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(124,1),(130,1),(196,1)}
        94:{1,3,6,7}:{(64,1),(65,1),(75,1),(125,1),(130,1)}
        95:{2,3,5,6,7}:{(65,1),(66,1),(76,1),(126,1),(131,1),(132,1),(216,1),(298,1),(313,1),(320,1),(322,1),(396,1)}
        96:{1,4,6,7}:{(66,1),(77,1),(127,1),(132,1),(406,1)}
        97:{2,4,5}:{(67,1),(120,1),(134,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(135,1),(136,1),(139,1),(209,1),(223,1),(240,1),(318,1),(333,1),(389,1),(406,1),(410,1),(419,1),(422,1),(481,1),(489,1),(525,1)}
        99:{2,3,4,6}:{(68,1),(71,1),(136,1),(137,1),(147,1),(226,1),(237,1),(330,1),(393,1),(480,1),(524,1)}
       100:{1,3,5}:{(69,1),(123,1),(134,1),(138,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(74,1),(124,1),(135,1),(139,1),(140,1),(143,1),(214,1),(234,1),(318,1),(333,1),(525,1),(526,1),(530,1),(547,1)}
       102:{1,4,6}:{(70,1),(71,1),(75,1),(141,1)}
       103:{2,5,6}:{(71,1),(72,1),(126,1),(141,1)}
       104:{1,4,5,6}:{(72,1),(77,1),(127,1),(142,1),(336,1)}
       105:{1,2,4}:{(73,1),(138,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(139,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(141,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(213,1),(236,1),(322,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(320,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(318,1),(333,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(216,1),(410,1),(422,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(365,1)}
       116:{1,2,4,5,6}:{(83,1),(88,1),(151,1),(154,1),(155,1),(169,1),(184,1),(243,1),(269,1),(280,1),(283,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(89,1),(152,1),(156,1),(167,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(91,1),(157,1),(158,1),(253,1),(352,1)}
       120:{2,4,6}:{(86,1),(97,1),(151,1),(160,1),(161,1)}
       121:{1,3,4,7}:{(86,1),(87,1),(89,1),(152,1),(161,1),(165,1),(256,1),(343,1)}
       122:{2,3,4,6,7}:{(87,1),(90,1),(99,1),(153,1),(162,1),(163,1),(174,1),(247,1),(260,1),(272,1),(347,1),(364,1),(437,1),(438,1),(450,1),(496,1)}
       123:{1,3,6}:{(88,1),(100,1),(160,1),(165,1)}
       124:{1,2,4,7}:{(88,1),(89,1),(93,1),(161,1),(165,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(94,1),(102,1),(167,1)}
       126:{2,5,7}:{(90,1),(91,1),(103,1),(167,1)}
       127:{1,4,5,7}:{(91,1),(96,1),(104,1),(168,1),(371,1)}
       128:{1,2,4,6}:{(92,1),(105,1),(164,1),(169,1),(170,1),(243,1),(283,1)}
       129:{1,2,3,5,7}:{(92,1),(93,1),(165,1),(170,1),(171,1),(244,1),(264,1),(266,1),(270,1)}
       130:{1,2,6,7}:{(93,1),(94,1),(107,1),(245,1)}
       131:{1,3,5,6,7}:{(94,1),(95,1),(108,1),(167,1),(172,1),(173,1),(266,1),(268,1),(271,1)}
       132:{2,4,6,7}:{(95,1),(96,1),(109,1),(168,1),(173,1),(174,1),(364,1)}
       133:{1,2,4,5}:{(97,1),(159,1),(175,1),(273,1),(342,1),(355,1)}
       134:{2,3,5}:{(97,1),(100,1),(160,1),(175,1),(177,1)}
       135:{2,4,5,7}:{(97,1),(98,1),(161,1),(178,1),(179,1),(261,1),(364,1),(378,1),(507,1),(513,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(102,1),(179,1),(180,1),(183,1),(276,1),(283,1),(289,1),(376,1),(379,1),(431,1),(539,1)}
       137:{2,3,5,6}:{(99,1),(103,1),(163,1),(180,1),(181,1),(186,1),(285,1),(435,1),(498,1),(534,1)}
       138:{1,3,4}:{(100,1),(105,1),(177,1)}
       139:{1,3,5,7}:{(100,1),(101,1),(165,1),(178,1),(182,1),(183,1),(282,1),(540,1),(543,1)}
       140:{1,2,4,6}:{(101,1),(102,1),(107,1),(179,1),(183,1),(184,1),(283,1),(539,1),(551,1)}
       141:{1,5,6}:{(102,1),(103,1),(167,1)}
       142:{2,4,5,6}:{(103,1),(104,1),(109,1),(168,1),(185,1),(186,1),(285,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(182,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(183,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(285,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(186,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(266,1),(370,1),(506,1),(540,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(268,1),(369,1),(382,1)}
       151:{2,5,6}:{(114,1),(120,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(123,1),(195,1),(199,1),(200,1),(211,1),(316,1),(331,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(124,1),(196,1),(200,1),(201,1),(214,1),(296,1),(314,1),(318,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(126,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(127,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(133,1),(194,1),(204,1),(205,1),(292,1)}
       160:{2,3,6}:{(120,1),(123,1),(134,1),(204,1),(207,1)}
       161:{2,4,7}:{(120,1),(121,1),(196,1),(207,1)}
       162:{1,3,4,6,7}:{(121,1),(122,1),(125,1),(136,1),(197,1),(208,1),(209,1),(213,1),(299,1),(309,1),(318,1),(323,1),(390,1),(396,1),(406,1),(410,1),(472,1),(481,1),(519,1)}
       163:{2,3,5,7}:{(122,1),(126,1),(137,1),(209,1),(210,1),(216,1),(320,1),(394,1),(471,1),(518,1)}
       164:{1,3,4,6}:{(123,1),(128,1),(138,1),(206,1),(211,1),(212,1),(316,1)}
       165:{1,3,7}:{(123,1),(124,1),(207,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(130,1),(140,1),(208,1),(213,1),(214,1),(318,1),(519,1),(520,1),(526,1)}
       167:{1,5,7}:{(125,1),(126,1),(141,1)}
       168:{2,4,5,7}:{(126,1),(127,1),(132,1),(142,1),(215,1),(216,1),(320,1)}
       169:{1,2,4,5}:{(128,1),(211,1),(234,1),(295,1),(333,1)}
       170:{1,2,4,7}:{(128,1),(129,1),(212,1),(296,1),(318,1)}
       171:{1,2,3,6,7}:{(129,1),(130,1),(144,1),(213,1),(218,1),(297,1),(316,1),(548,1)}
       172:{1,2,5,6,7}:{(130,1),(131,1),(145,1),(214,1),(219,1),(298,1),(320,1),(400,1)}
       173:{1,4,6,7}:{(131,1),(132,1),(146,1),(215,1),(318,1)}
       174:{3,4,6,7}:{(132,1),(147,1),(216,1),(396,1),(410,1)}
       175:{1,3,5}:{(133,1),(134,1),(204,1),(222,1)}
       176:{1,2,4,5,7}:{(133,1),(135,1),(205,1),(223,1),(224,1),(240,1),(310,1),(324,1),(341,1),(389,1),(401,1),(406,1),(417,1),(419,1),(483,1),(491,1)}
       177:{2,3,4}:{(134,1),(138,1),(222,1)}
       178:{2,3,5,7}:{(134,1),(135,1),(139,1),(207,1),(223,1),(225,1),(226,1),(329,1),(527,1),(532,1)}
       179:{2,4,6}:{(135,1),(136,1),(226,1),(227,1)}
       180:{1,3,5,6}:{(136,1),(137,1),(141,1),(209,1),(227,1),(228,1),(331,1),(336,1),(466,1),(545,1)}
       181:{2,4,5,6}:{(137,1),(210,1),(228,1),(229,1),(330,1)}
       182:{1,3,4,7}:{(138,1),(139,1),(143,1),(225,1),(230,1),(318,1),(550,1)}
       183:{1,3,6}:{(139,1),(140,1),(226,1)}
       184:{1,2,5,6}:{(140,1),(141,1),(214,1),(227,1),(231,1),(234,1),(545,1)}
       185:{1,4,5,6}:{(141,1),(142,1),(146,1),(215,1),(233,1)}
       186:{3,5,6}:{(142,1),(147,1),(216,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(230,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(231,1),(234,1),(235,1),(236,1),(335,1),(337,1),(488,1),(531,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(233,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(318,1),(414,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(320,1),(414,1),(425,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(160,1),(241,1),(243,1),(244,1),(258,1),(362,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(161,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(163,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(283,1),(379,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(165,1),(244,1),(249,1),(250,1),(365,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(269,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(167,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(168,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,3,6}:{(159,1),(160,1),(175,1),(256,1)}
       205:{1,2,4,7}:{(159,1),(161,1),(242,1),(256,1),(343,1)}
       206:{2,3,4,6}:{(160,1),(164,1),(177,1),(243,1),(255,1),(258,1),(259,1),(362,1)}
       207:{2,3,7}:{(160,1),(161,1),(165,1),(256,1)}
       208:{2,4,6,7}:{(161,1),(162,1),(179,1),(245,1),(260,1),(261,1),(364,1),(499,1),(507,1)}
       209:{1,3,5,7}:{(162,1),(163,1),(167,1),(180,1),(261,1),(262,1),(365,1),(371,1),(432,1),(535,1)}
       210:{2,4,5,7}:{(163,1),(181,1),(247,1),(262,1),(263,1),(364,1)}
       211:{1,3,5}:{(164,1),(169,1),(258,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(170,1),(259,1),(264,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(183,1),(260,1),(266,1),(540,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(184,1),(261,1),(266,1),(535,1)}
       215:{1,4,5,7}:{(167,1),(168,1),(173,1),(185,1),(268,1)}
       216:{3,5,7}:{(168,1),(174,1),(186,1)}
       217:{1,2,4,5,7}:{(169,1),(170,1),(264,1),(269,1),(270,1),(346,1),(368,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(187,1),(265,1),(269,1),(270,1),(347,1),(538,1),(551,1)}
       219:{1,2,4,6,7}:{(172,1),(173,1),(189,1),(267,1),(271,1),(272,1),(349,1),(439,1),(499,1)}
       220:{1,3,4,6,7}:{(173,1),(174,1),(190,1),(268,1),(271,1),(272,1),(369,1)}
       221:{1,2,3,5}:{(175,1),(254,1),(273,1),(355,1)}
       222:{1,3,4}:{(175,1),(177,1),(273,1)}
       223:{1,3,5,7}:{(175,1),(176,1),(178,1),(256,1),(275,1),(276,1),(375,1),(508,1),(515,1)}
       224:{1,2,4,6}:{(176,1),(179,1),(276,1),(277,1),(289,1),(376,1),(387,1),(431,1),(441,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(182,1),(275,1),(278,1),(364,1),(544,1)}
       226:{2,3,6}:{(178,1),(179,1),(183,1),(276,1)}
       227:{2,5,6}:{(179,1),(180,1),(261,1)}
       228:{1,4,5,6}:{(180,1),(181,1),(262,1),(280,1),(283,1),(376,1)}
       229:{3,4,5,6}:{(181,1),(186,1),(263,1),(379,1),(498,1)}
       230:{1,3,4,6}:{(182,1),(183,1),(187,1),(278,1),(282,1),(283,1)}
       231:{1,3,5,6}:{(183,1),(184,1),(266,1),(279,1),(282,1),(283,1)}
       232:{1,2,4,5,6}:{(184,1),(185,1),(189,1),(267,1),(280,1),(283,1),(284,1),(285,1),(286,1),(381,1),(383,1),(461,1),(512,1)}
       233:{1,3,5,6}:{(185,1),(186,1),(190,1),(268,1),(285,1)}
       234:{1,2,5}:{(187,1),(282,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(283,1),(286,1),(287,1),(383,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(285,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(540,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(371,1),(452,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(204,1),(292,1),(293,1),(307,1),(404,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(205,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(207,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(209,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(210,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(211,1),(295,1),(333,1),(422,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(318,1),(410,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(316,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(214,1),(298,1),(303,1),(321,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(215,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(216,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(221,1),(305,1),(306,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(222,1),(292,1),(305,1),(307,1),(308,1),(404,1)}
       256:{1,3,7}:{(204,1),(205,1),(207,1)}
       257:{1,2,4,6,7}:{(205,1),(208,1),(224,1),(294,1),(309,1),(310,1),(323,1),(390,1),(406,1),(416,1),(483,1)}
       258:{2,3,5}:{(206,1),(211,1),(295,1),(307,1)}
       259:{2,3,4,7}:{(206,1),(207,1),(212,1),(296,1),(308,1),(311,1)}
       260:{2,3,6,7}:{(207,1),(208,1),(213,1),(226,1),(309,1),(313,1),(396,1),(527,1)}
       261:{2,5,7}:{(208,1),(209,1),(227,1)}
       262:{1,4,5,7}:{(209,1),(210,1),(228,1),(299,1),(314,1),(318,1),(406,1)}
       263:{3,4,5,7}:{(210,1),(216,1),(229,1),(300,1),(410,1),(471,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(217,1),(311,1),(316,1)}
       265:{1,3,4,6,7}:{(212,1),(213,1),(218,1),(230,1),(312,1),(316,1),(317,1),(318,1),(413,1),(519,1),(523,1),(546,1)}
       266:{1,3,5,7}:{(213,1),(214,1),(231,1),(313,1),(318,1)}
       267:{1,2,4,5,7}:{(214,1),(215,1),(219,1),(232,1),(314,1),(318,1),(319,1),(320,1),(412,1),(414,1),(482,1),(526,1)}
       268:{1,3,5,7}:{(215,1),(216,1),(220,1),(233,1),(320,1)}
       269:{1,2,4,6}:{(217,1),(316,1),(321,1),(393,1),(413,1)}
       270:{1,2,5,7}:{(218,1),(234,1),(317,1),(321,1),(394,1)}
       271:{1,3,6,7}:{(219,1),(236,1),(319,1),(322,1),(396,1)}
       272:{2,4,6,7}:{(220,1),(237,1),(320,1),(322,1),(323,1),(414,1)}
       273:{1,2,4}:{(221,1),(222,1)}
       274:{1,2,3,5,7}:{(221,1),(223,1),(306,1),(324,1),(325,1),(341,1),(401,1),(417,1),(430,1),(493,1)}
       275:{1,3,4,7}:{(222,1),(223,1),(225,1),(324,1),(326,1),(406,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(226,1)}
       277:{1,2,5,6}:{(224,1),(227,1),(310,1),(327,1),(336,1),(417,1),(466,1)}
       278:{2,3,4,6}:{(225,1),(226,1),(230,1),(326,1),(329,1),(330,1)}
       279:{2,3,5,6}:{(226,1),(227,1),(231,1),(313,1),(327,1),(329,1),(330,1),(331,1)}
       280:{2,4,5,6}:{(227,1),(228,1),(314,1),(330,1),(331,1)}
       281:{1,3,4,5,6}:{(228,1),(229,1),(233,1),(315,1),(331,1),(332,1),(334,1),(420,1),(424,1),(517,1)}
       282:{1,3,5}:{(230,1),(234,1),(329,1),(333,1)}
       283:{1,4,6}:{(231,1),(318,1),(330,1),(333,1)}
       284:{1,3,5,6}:{(232,1),(236,1),(319,1),(331,1),(334,1),(335,1),(337,1),(531,1)}
       285:{2,5,6}:{(233,1),(237,1),(320,1),(336,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(333,1),(337,1),(425,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(531,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(336,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(414,1),(527,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(256,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(258,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(362,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(261,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(262,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(263,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(264,1),(346,1),(351,1),(352,1),(368,1),(449,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(266,1),(348,1),(352,1),(353,1),(367,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(268,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(273,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(256,1),(356,1)}
       307:{1,3,5}:{(255,1),(258,1),(342,1),(355,1)}
       308:{1,3,4,7}:{(255,1),(256,1),(259,1),(343,1),(356,1),(358,1)}
       309:{1,3,6,7}:{(256,1),(257,1),(260,1),(276,1),(360,1),(508,1)}
       310:{1,2,5,7}:{(257,1),(261,1),(277,1),(360,1),(371,1),(432,1)}
       311:{2,3,5,7}:{(258,1),(259,1),(264,1),(346,1),(358,1),(362,1)}
       312:{2,3,4,6,7}:{(259,1),(260,1),(265,1),(278,1),(347,1),(359,1),(362,1),(363,1),(364,1),(437,1),(448,1),(496,1),(502,1),(536,1)}
       313:{2,3,5,7}:{(260,1),(261,1),(266,1),(279,1),(360,1),(364,1),(365,1)}
       314:{2,4,5,7}:{(261,1),(262,1),(280,1),(349,1),(364,1),(365,1)}
       315:{1,3,4,5,7}:{(262,1),(263,1),(268,1),(281,1),(350,1),(365,1),(366,1),(369,1),(446,1),(451,1),(495,1)}
       316:{1,3,6}:{(264,1),(269,1),(362,1)}
       317:{1,3,5,7}:{(265,1),(270,1),(282,1),(363,1),(367,1),(368,1),(535,1)}
       318:{1,4,7}:{(266,1),(283,1),(364,1)}
       319:{1,3,5,7}:{(267,1),(271,1),(284,1),(365,1),(369,1),(370,1),(540,1)}
       320:{2,5,7}:{(268,1),(272,1),(285,1),(371,1)}
       321:{1,2,5,6}:{(269,1),(270,1),(367,1),(435,1),(551,1)}
       322:{2,3,6,7}:{(271,1),(272,1),(288,1),(370,1),(372,1),(499,1)}
       323:{1,4,6,7}:{(272,1),(289,1),(371,1),(372,1),(452,1)}
       324:{1,2,4,7}:{(273,1),(274,1),(275,1),(373,1),(516,1)}
       325:{1,2,3,6}:{(274,1),(276,1),(373,1),(387,1),(441,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(373,1),(375,1),(376,1)}
       327:{1,3,5,6}:{(276,1),(277,1),(279,1),(360,1),(375,1),(376,1)}
       328:{1,2,4,5,6}:{(277,1),(280,1),(361,1),(376,1),(377,1),(381,1),(454,1),(457,1),(461,1),(463,1),(494,1),(500,1),(534,1)}
       329:{2,3,5}:{(278,1),(282,1),(375,1),(378,1)}
       330:{2,4,6}:{(279,1),(283,1),(364,1),(376,1),(378,1),(379,1)}
       331:{3,5,6}:{(280,1),(365,1),(379,1)}
       332:{2,4,5,6}:{(281,1),(285,1),(366,1),(380,1),(381,1),(383,1),(457,1),(461,1),(534,1)}
       333:{1,4,5}:{(282,1),(283,1),(378,1)}
       334:{1,3,4,6}:{(283,1),(284,1),(369,1),(379,1),(382,1),(383,1)}
       335:{2,3,5,6}:{(284,1),(285,1),(288,1),(370,1),(383,1),(384,1),(385,1),(461,1),(514,1)}
       336:{1,5,6}:{(285,1),(289,1),(371,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(383,1),(385,1),(386,1),(514,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(452,1),(508,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(307,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(404,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(310,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(311,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(313,1),(391,1),(394,1),(395,1),(396,1),(408,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(314,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(315,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(316,1),(393,1),(398,1),(413,1),(480,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(318,1),(395,1),(399,1),(413,1)}
       354:{2,5,6,7}:{(304,1),(320,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(307,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(308,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(309,1),(325,1),(402,1),(403,1),(416,1),(469,1),(521,1)}
       358:{1,3,5,7}:{(307,1),(308,1),(311,1),(389,1),(401,1),(404,1)}
       359:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(326,1),(390,1),(402,1),(404,1),(405,1),(406,1),(475,1),(476,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(313,1),(327,1),(406,1)}
       361:{1,2,4,5,7}:{(310,1),(314,1),(328,1),(392,1),(406,1),(407,1),(412,1),(467,1),(478,1),(482,1),(483,1),(518,1)}
       362:{2,3,6}:{(311,1),(316,1),(393,1),(404,1)}
       363:{2,3,5,7}:{(312,1),(317,1),(329,1),(394,1),(405,1),(408,1),(409,1),(471,1),(518,1)}
       364:{2,4,7}:{(313,1),(318,1),(330,1),(406,1),(410,1)}
       365:{3,5,7}:{(314,1),(331,1),(396,1),(410,1)}
       366:{2,4,5,7}:{(315,1),(320,1),(332,1),(397,1),(411,1),(412,1),(414,1),(478,1),(482,1),(518,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(321,1),(408,1),(413,1),(545,1),(546,1)}
       368:{1,4,5,7}:{(317,1),(318,1),(333,1),(409,1),(413,1)}
       369:{1,3,4,7}:{(318,1),(319,1),(334,1),(410,1),(414,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(322,1),(335,1),(414,1),(415,1),(482,1),(527,1)}
       371:{1,5,7}:{(320,1),(323,1),(336,1)}
       372:{1,3,6,7}:{(322,1),(323,1),(339,1),(415,1),(416,1)}
       373:{1,2,4,6}:{(324,1),(325,1),(326,1),(417,1)}
       374:{1,2,3,5,6}:{(325,1),(327,1),(403,1),(417,1),(418,1),(421,1),(427,1),(473,1),(484,1),(492,1),(493,1),(521,1)}
       375:{1,3,5}:{(326,1),(329,1),(417,1),(419,1)}
       376:{1,4,6}:{(327,1),(330,1),(406,1),(419,1)}
       377:{1,3,5,6}:{(328,1),(331,1),(407,1),(420,1),(421,1),(484,1),(492,1),(521,1)}
       378:{2,4,5}:{(329,1),(330,1),(333,1),(419,1),(422,1)}
       379:{3,4,6}:{(330,1),(331,1),(410,1),(422,1)}
       380:{2,3,5,6}:{(331,1),(332,1),(411,1),(423,1),(424,1)}
       381:{1,4,5,6}:{(332,1),(336,1),(412,1),(424,1),(426,1),(487,1),(545,1)}
       382:{1,3,4,5}:{(333,1),(334,1),(337,1),(422,1),(425,1)}
       383:{2,4,6}:{(334,1),(335,1),(414,1),(425,1),(426,1)}
       384:{1,3,5,6}:{(335,1),(336,1),(339,1),(415,1),(426,1),(427,1),(428,1),(492,1)}
       385:{2,3,5}:{(337,1),(338,1),(425,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(426,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(358,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(360,1),(432,1),(433,1),(434,1),(444,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(361,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(362,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(364,1),(433,1),(436,1),(437,1),(448,1)}
       396:{3,6,7}:{(349,1),(365,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(366,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(371,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(358,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(359,1),(373,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(360,1),(374,1),(442,1),(443,1),(447,1),(453,1),(501,1),(508,1)}
       404:{1,3,6}:{(358,1),(362,1),(431,1),(441,1)}
       405:{1,3,5,7}:{(359,1),(363,1),(375,1),(432,1),(442,1),(444,1),(445,1)}
       406:{1,4,7}:{(360,1),(364,1),(376,1)}
       407:{1,3,5,7}:{(361,1),(365,1),(377,1),(434,1),(446,1),(447,1),(508,1)}
       408:{2,3,5,6}:{(362,1),(363,1),(367,1),(435,1),(444,1),(448,1),(498,1),(534,1),(536,1)}
       409:{2,4,5,7}:{(363,1),(364,1),(368,1),(378,1),(445,1),(448,1),(449,1)}
       410:{3,4,7}:{(364,1),(365,1),(379,1)}
       411:{2,3,5,7}:{(365,1),(366,1),(380,1),(438,1),(450,1),(451,1)}
       412:{1,4,5,7}:{(366,1),(371,1),(381,1),(439,1),(451,1),(452,1),(505,1),(535,1)}
       413:{1,4,6}:{(367,1),(368,1),(448,1)}
       414:{2,4,7}:{(369,1),(370,1),(383,1),(452,1)}
       415:{1,3,5,7}:{(370,1),(371,1),(372,1),(384,1),(452,1),(453,1),(508,1)}
       416:{1,2,6,7}:{(372,1),(387,1),(453,1),(499,1)}
       417:{1,2,5}:{(373,1),(375,1)}
       418:{1,2,4,6}:{(374,1),(376,1),(443,1),(454,1),(455,1),(457,1),(516,1)}
       419:{1,4,5}:{(375,1),(376,1),(378,1)}
       420:{1,3,4,6}:{(376,1),(377,1),(379,1),(446,1),(456,1),(457,1)}
       421:{2,3,5,6}:{(377,1),(447,1),(457,1),(458,1),(461,1),(509,1),(514,1),(534,1),(536,1)}
       422:{3,4,5}:{(378,1),(379,1)}
       423:{2,3,4,6}:{(379,1),(380,1),(383,1),(450,1),(457,1),(459,1),(460,1),(514,1)}
       424:{1,3,5,6}:{(380,1),(381,1),(451,1),(460,1),(461,1)}
       425:{2,4,5}:{(382,1),(383,1),(385,1),(462,1)}
       426:{1,4,6}:{(383,1),(384,1),(452,1),(462,1)}
       427:{1,2,5,6}:{(384,1),(387,1),(453,1),(461,1),(463,1),(464,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(508,1)}
       431:{1,4,6}:{(389,1),(393,1),(404,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(406,1),(467,1),(476,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(407,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(410,1),(471,1),(480,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(411,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(412,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(413,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(404,1)}
       442:{1,2,5,7}:{(402,1),(405,1),(417,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(406,1),(418,1),(475,1),(478,1)}
       444:{1,3,5,6}:{(404,1),(405,1),(408,1),(466,1),(473,1),(476,1),(521,1)}
       445:{1,4,5,7}:{(405,1),(406,1),(409,1),(419,1),(476,1)}
       446:{1,3,4,7}:{(406,1),(407,1),(410,1),(420,1),(478,1)}
       447:{2,3,5,7}:{(407,1),(421,1),(469,1),(478,1),(479,1),(482,1),(518,1),(527,1)}
       448:{2,4,6}:{(408,1),(409,1),(413,1),(476,1),(480,1)}
       449:{3,4,5,7}:{(409,1),(410,1),(422,1),(471,1),(480,1)}
       450:{2,3,4,7}:{(410,1),(411,1),(414,1),(423,1),(478,1),(481,1),(527,1)}
       451:{1,3,5,7}:{(411,1),(412,1),(424,1),(472,1),(481,1),(482,1)}
       452:{1,4,7}:{(414,1),(415,1),(426,1)}
       453:{1,2,5,7}:{(415,1),(416,1),(427,1),(482,1),(483,1)}
       454:{1,2,4,5}:{(417,1),(418,1),(419,1),(484,1),(486,1)}
       455:{1,3,4,6}:{(418,1),(475,1),(484,1),(485,1),(492,1),(521,1),(533,1)}
       456:{1,3,4,5}:{(419,1),(420,1),(422,1),(484,1),(486,1)}
       457:{2,4,6}:{(420,1),(421,1),(478,1),(486,1),(487,1)}
       458:{1,3,5,6}:{(421,1),(479,1),(487,1),(488,1),(528,1),(531,1),(545,1),(546,1)}
       459:{2,3,4,5}:{(422,1),(423,1),(425,1),(486,1),(489,1),(532,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(481,1),(487,1),(489,1),(490,1),(492,1),(531,1)}
       461:{2,5,6}:{(424,1),(482,1),(490,1)}
       462:{1,4,5}:{(425,1),(426,1),(428,1)}
       463:{1,2,4,6}:{(426,1),(427,1),(483,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(446,1),(495,1),(496,1),(503,1)}
       469:{2,3,6,7}:{(434,1),(447,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(448,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(451,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(444,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(445,1),(454,1),(500,1),(501,1),(504,1)}
       475:{1,3,4,7}:{(443,1),(455,1),(501,1),(502,1),(508,1)}
       476:{1,4,6}:{(444,1),(445,1),(448,1)}
       477:{1,3,4,5,7}:{(445,1),(446,1),(449,1),(456,1),(495,1),(501,1),(503,1),(504,1)}
       478:{2,4,7}:{(446,1),(447,1),(457,1),(505,1)}
       479:{1,3,5,7}:{(447,1),(458,1),(497,1),(505,1),(506,1),(535,1),(540,1)}
       480:{3,4,6}:{(448,1),(449,1),(498,1)}
       481:{1,3,4,7}:{(450,1),(451,1),(452,1),(460,1),(505,1),(507,1),(508,1),(540,1)}
       482:{2,5,7}:{(451,1),(461,1),(499,1),(507,1)}
       483:{1,2,4,7}:{(452,1),(453,1),(463,1),(507,1),(508,1)}
       484:{1,3,5}:{(454,1),(455,1),(509,1)}
       485:{2,3,4,6}:{(455,1),(457,1),(502,1),(509,1),(510,1),(514,1),(536,1),(544,1)}
       486:{2,4,5}:{(456,1),(457,1),(509,1),(511,1)}
       487:{1,4,6}:{(457,1),(458,1),(505,1),(511,1)}
       488:{1,2,5,6}:{(458,1),(461,1),(506,1),(512,1),(541,1),(551,1)}
       489:{1,3,4,5}:{(459,1),(460,1),(462,1),(511,1),(513,1),(515,1),(543,1)}
       490:{2,4,6}:{(460,1),(461,1),(507,1),(513,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(513,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(508,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(476,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(478,1),(518,1),(519,1),(524,1)}
       497:{1,3,6,7}:{(469,1),(479,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(480,1)}
       499:{2,6,7}:{(472,1),(482,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(476,1),(521,1),(524,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(484,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(478,1),(485,1),(522,1),(523,1),(527,1)}
       503:{1,3,4,6}:{(476,1),(477,1),(480,1),(517,1),(521,1),(524,1)}
       504:{2,4,5,7}:{(477,1),(478,1),(486,1),(518,1),(522,1),(524,1),(525,1)}
       505:{1,4,7}:{(478,1),(479,1),(487,1)}
       506:{1,2,5,7}:{(479,1),(482,1),(488,1),(520,1),(526,1)}
       507:{2,4,7}:{(481,1),(482,1),(490,1),(527,1)}
       508:{1,3,7}:{(483,1),(492,1),(527,1)}
       509:{2,3,5}:{(484,1),(485,1),(486,1),(528,1)}
       510:{1,3,4,6}:{(485,1),(487,1),(523,1),(528,1),(529,1),(531,1),(546,1),(550,1)}
       511:{1,4,5}:{(486,1),(487,1),(528,1)}
       512:{1,2,4,6}:{(487,1),(488,1),(490,1),(526,1),(530,1),(531,1)}
       513:{2,4,5}:{(489,1),(490,1),(532,1)}
       514:{2,3,6}:{(490,1),(492,1),(527,1),(531,1),(532,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(503,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(505,1),(535,1),(539,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(506,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(504,1),(509,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(505,1),(510,1),(537,1),(538,1),(540,1)}
       524:{2,4,6}:{(503,1),(504,1),(534,1),(536,1),(539,1)}
       525:{1,4,5,7}:{(504,1),(505,1),(511,1),(535,1),(537,1),(539,1)}
       526:{1,2,4,7}:{(505,1),(506,1),(507,1),(512,1),(540,1)}
       527:{2,3,7}:{(507,1),(508,1),(514,1),(540,1)}
       528:{1,3,5}:{(509,1),(510,1),(511,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(538,1),(541,1),(542,1),(551,1),(552,1)}
       530:{1,2,4,5}:{(511,1),(512,1),(513,1),(541,1),(543,1),(552,1)}
       531:{1,3,6}:{(512,1),(514,1),(540,1),(543,1)}
       532:{2,3,5}:{(513,1),(514,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(524,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(524,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(525,1),(528,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(529,1),(547,1),(548,1)}
       539:{1,4,6}:{(524,1),(525,1),(545,1),(546,1)}
       540:{1,3,7}:{(526,1),(527,1),(531,1)}
       541:{1,2,5}:{(528,1),(529,1)}
       542:{1,2,3,6}:{(529,1),(531,1),(548,1),(549,1)}
       543:{1,3,5}:{(530,1),(531,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(539,1)}
       546:{1,3,6}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(541,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1470 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1471 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1472 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(38,1),(149,1),(171,1)}
         5:{1,2,3,7}:{(1,1),(11,1),(36,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(10,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(20,1),(54,1),(57,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(19,1),(22,1),(174,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(21,1),(23,1),(40,1),(54,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(73,1),(76,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(33,1)}
        19:{1,3,4,7}:{(8,1),(11,1),(31,1),(35,1),(36,1),(77,1),(172,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,6}:{(10,1),(12,1),(34,1),(37,1),(38,1),(60,1),(171,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(38,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(37,1),(61,1),(77,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(54,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(92,1),(95,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,5}:{(16,1),(18,1),(47,1),(50,1)}
        31:{2,3,4,7}:{(16,1),(19,1),(48,1),(52,1),(53,1),(98,1),(165,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(18,1),(50,1),(54,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(102,1),(158,1),(164,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(22,1),(52,1),(55,1),(57,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,5,7}:{(21,1),(23,1),(56,1),(58,1),(83,1),(174,1)}
        38:{1,2,6}:{(22,1),(57,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(77,1),(119,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(65,1),(110,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(113,1)}
        45:{1,2,3,7}:{(26,1),(66,1),(152,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,5}:{(28,1),(30,1),(65,1),(68,1)}
        48:{1,3,4,7}:{(28,1),(31,1),(66,1),(70,1),(71,1),(116,1),(152,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(30,1),(33,1),(68,1),(72,1),(73,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(34,1),(60,1),(69,1),(73,1),(75,1),(76,1),(105,1),(122,1),(144,1),(151,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(35,1),(70,1),(74,1),(76,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,6}:{(33,1),(34,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(33,1),(35,1),(74,1),(77,1),(78,1),(123,1)}
        56:{1,3,5,7}:{(34,1),(36,1),(37,1),(75,1),(77,1),(79,1),(123,1),(168,1),(172,1)}
        57:{1,3,6}:{(35,1),(38,1),(76,1),(78,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(54,1),(82,1),(84,1),(102,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,5}:{(44,1),(47,1)}
        66:{1,2,4,7}:{(44,1),(45,1),(48,1),(89,1),(90,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(47,1),(50,1),(92,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(51,1),(80,1),(88,1),(92,1),(94,1),(95,1),(133,1),(140,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(52,1),(89,1),(93,1),(95,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(96,1)}
        73:{2,4,6}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1)}
        74:{2,4,5,7}:{(50,1),(52,1),(55,1),(93,1),(97,1),(98,1),(99,1),(143,1)}
        75:{2,3,5,7}:{(51,1),(53,1),(56,1),(83,1),(94,1),(98,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        76:{2,3,6}:{(52,1),(57,1),(95,1),(99,1)}
        77:{1,4,7}:{(54,1),(56,1),(98,1)}
        78:{1,4,6}:{(55,1),(57,1),(99,1),(102,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(101,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(73,1),(103,1),(105,1),(106,1),(122,1),(144,1),(157,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(77,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(65,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(65,1),(67,1),(69,1),(111,1),(112,1),(113,1),(144,1)}
        89:{1,2,5,7}:{(65,1),(66,1),(70,1),(113,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,6}:{(68,1),(69,1),(73,1),(116,1)}
        93:{1,4,5,7}:{(68,1),(70,1),(74,1),(116,1),(117,1),(155,1)}
        94:{1,3,5,7}:{(69,1),(71,1),(75,1),(104,1),(112,1),(116,1),(118,1),(152,1),(155,1)}
        95:{1,3,6}:{(70,1),(76,1),(113,1),(117,1)}
        96:{3,4,6}:{(72,1),(73,1),(105,1),(119,1)}
        97:{3,4,5,7}:{(72,1),(74,1),(119,1),(120,1),(156,1)}
        98:{2,4,7}:{(73,1),(75,1),(77,1),(116,1),(119,1)}
        99:{2,4,6}:{(74,1),(76,1),(78,1),(117,1),(120,1),(122,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(121,1),(147,1),(169,1)}
       101:{1,4,6,7}:{(77,1),(78,1),(79,1),(121,1),(123,1)}
       102:{1,5,6}:{(78,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(92,1),(124,1),(125,1),(140,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(96,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(98,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(88,1),(92,1),(133,1),(134,1),(137,1)}
       112:{1,2,5,7}:{(88,1),(90,1),(94,1),(134,1),(135,1),(159,1)}
       113:{1,2,6}:{(89,1),(95,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(92,1),(96,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,7}:{(92,1),(94,1),(98,1)}
       117:{1,4,6}:{(93,1),(95,1),(99,1),(140,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(139,1)}
       119:{3,4,7}:{(96,1),(98,1),(127,1)}
       120:{3,4,6}:{(97,1),(99,1),(142,1)}
       121:{2,4,6,7}:{(98,1),(99,1),(100,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,5,6}:{(99,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(116,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(119,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(112,1),(116,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(116,1),(119,1),(145,1),(152,1),(154,1)}
       139:{1,4,6,7}:{(116,1),(117,1),(118,1),(121,1),(155,1)}
       140:{1,5,6}:{(117,1),(122,1),(155,1)}
       141:{3,4,6,7}:{(119,1),(120,1),(121,1),(147,1),(156,1),(170,1)}
       142:{3,5,6}:{(120,1),(122,1),(156,1),(157,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(156,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       157:{4,5,6}:{(142,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(156,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1473 :   0:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(14,1),(121,1),(180,1),(233,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(5,1),(26,1),(154,1),(256,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(6,1),(17,1),(150,1),(166,1),(207,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(13,1),(32,1),(38,1),(40,1),(72,1)}
         4:{2,3,6,7}:{(1,1),(8,1),(10,1),(11,1),(42,1),(72,1),(123,1),(180,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(124,1),(134,1)}
         6:{1,2,5,6}:{(2,1),(12,1),(14,1),(30,1),(85,1),(129,1),(188,1),(195,1),(198,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(15,1),(31,1),(39,1),(41,1),(76,1),(85,1),(124,1),(128,1),(138,1),(198,1),(200,1),(233,1),(250,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(23,1),(48,1),(61,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(49,1),(60,1)}
        10:{1,3,6,7}:{(4,1),(16,1),(20,1),(21,1),(63,1),(95,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(17,1),(21,1),(22,1),(23,1),(49,1),(96,1),(105,1),(207,1),(256,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(22,1),(24,1),(26,1),(60,1),(154,1),(165,1),(168,1),(226,1)}
        13:{1,4,7}:{(5,1),(23,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(48,1),(61,1),(101,1),(154,1),(158,1),(216,1)}
        15:{1,3,5,7}:{(7,1),(25,1),(26,1),(27,1),(49,1),(60,1),(170,1),(226,1),(227,1),(256,1)}
        16:{1,4,6,7}:{(8,1),(10,1),(29,1),(36,1),(69,1),(86,1)}
        17:{2,5,7}:{(8,1),(9,1),(29,1),(30,1),(85,1)}
        18:{1,3,5,6}:{(9,1),(30,1),(32,1),(72,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(32,1),(39,1),(124,1)}
        20:{1,2,6,7}:{(10,1),(34,1),(88,1),(123,1),(177,1),(180,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(78,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(30,1),(35,1),(37,1),(42,1),(72,1),(82,1),(85,1),(123,1),(133,1),(136,1),(188,1),(201,1),(242,1)}
        23:{2,4,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        24:{1,4,6}:{(12,1),(13,1),(37,1),(39,1),(250,1)}
        25:{1,3,4,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(250,1),(251,1)}
        26:{1,3,6}:{(14,1),(15,1),(42,1),(72,1),(242,1)}
        27:{2,3,5,7}:{(15,1),(41,1),(42,1),(43,1),(85,1),(128,1),(142,1),(201,1)}
        28:{1,3,5,6,7}:{(18,1),(44,1),(45,1),(91,1),(92,1),(260,1)}
        29:{1,5,7}:{(16,1),(17,1),(46,1),(113,1)}
        30:{2,5,6}:{(17,1),(18,1),(46,1),(48,1)}
        31:{2,4,5,7}:{(17,1),(19,1),(23,1),(47,1),(48,1),(49,1),(57,1),(96,1)}
        32:{1,4,6}:{(18,1),(19,1),(48,1),(154,1)}
        33:{1,3,4,5,7}:{(19,1),(25,1),(49,1),(51,1),(52,1),(60,1),(92,1),(99,1),(109,1),(147,1),(162,1),(171,1),(206,1),(220,1),(227,1),(256,1),(259,1),(294,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(53,1),(54,1),(96,1),(204,1),(207,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(46,1),(53,1),(55,1),(63,1),(95,1),(104,1),(106,1),(113,1),(174,1)}
        36:{1,4,7}:{(21,1),(23,1),(55,1)}
        37:{2,4,6}:{(22,1),(23,1),(24,1),(55,1),(57,1),(58,1),(228,1)}
        38:{3,4,7}:{(23,1),(49,1),(58,1),(256,1)}
        39:{1,4,5}:{(24,1),(57,1),(60,1),(168,1)}
        40:{1,3,4,6}:{(24,1),(25,1),(26,1),(58,1),(60,1),(61,1)}
        41:{2,4,7}:{(25,1),(27,1),(61,1),(62,1),(228,1)}
        42:{2,3,6}:{(26,1),(27,1),(61,1),(63,1),(158,1)}
        43:{1,3,5,7}:{(27,1),(62,1),(63,1),(64,1),(113,1),(115,1),(174,1)}
        44:{2,5,6,7}:{(28,1),(30,1),(65,1),(66,1),(120,1),(278,1)}
        45:{1,4,6,7}:{(28,1),(32,1),(66,1),(67,1),(177,1),(279,1)}
        46:{1,5,6}:{(29,1),(30,1),(69,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(36,1),(69,1),(70,1),(79,1)}
        48:{2,4,6}:{(30,1),(31,1),(32,1),(69,1),(72,1),(123,1)}
        49:{3,5,7}:{(31,1),(38,1),(72,1),(82,1)}
        50:{1,4,5,6}:{(32,1),(39,1),(67,1),(71,1),(74,1),(184,1),(187,1),(245,1),(279,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(72,1),(74,1),(75,1),(125,1),(127,1),(187,1),(242,1),(279,1),(305,1)}
        52:{2,4,5,7}:{(33,1),(41,1),(73,1),(75,1),(76,1),(85,1),(120,1),(128,1),(139,1),(178,1),(190,1),(200,1),(233,1),(244,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(77,1),(88,1),(123,1),(136,1),(143,1),(184,1),(188,1)}
        54:{1,2,4,7}:{(34,1),(36,1),(77,1),(78,1),(81,1),(230,1),(233,1),(272,1)}
        55:{1,4,6}:{(35,1),(36,1),(37,1),(79,1),(202,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(70,1),(78,1),(80,1),(81,1)}
        57:{2,4,5}:{(37,1),(39,1),(79,1),(82,1),(85,1),(136,1)}
        58:{3,4,6}:{(37,1),(38,1),(72,1),(82,1),(242,1),(251,1)}
        59:{2,3,4,7}:{(38,1),(41,1),(73,1),(81,1),(83,1),(84,1),(142,1),(178,1),(190,1),(229,1),(251,1),(276,1),(302,1)}
        60:{1,3,5}:{(39,1),(40,1),(82,1),(85,1)}
        61:{2,4,6}:{(40,1),(41,1),(42,1),(85,1),(86,1)}
        62:{1,4,7}:{(41,1),(43,1),(86,1),(202,1)}
        63:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        64:{1,2,5,7}:{(43,1),(87,1),(88,1),(128,1),(143,1),(312,1)}
        65:{1,5,6,7}:{(44,1),(46,1),(89,1),(150,1),(293,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(48,1),(89,1),(90,1),(91,1),(146,1),(295,1)}
        67:{1,4,5,7}:{(45,1),(50,1),(90,1),(92,1),(204,1),(206,1)}
        68:{1,3,4,6,7}:{(45,1),(51,1),(91,1),(92,1),(93,1),(147,1),(149,1),(206,1),(256,1)}
        69:{1,4,6}:{(46,1),(47,1),(48,1),(95,1)}
        70:{1,3,5,7}:{(47,1),(49,1),(56,1),(95,1),(96,1),(106,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(57,1),(90,1),(94,1),(97,1),(100,1),(153,1),(156,1),(216,1),(266,1),(295,1)}
        72:{3,6}:{(48,1),(49,1)}
        73:{2,3,5,7}:{(49,1),(52,1),(59,1),(96,1),(98,1),(99,1),(110,1),(227,1),(256,1),(294,1),(309,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(60,1),(92,1),(97,1),(100,1),(220,1)}
        75:{2,4,6}:{(51,1),(52,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,4,5,7}:{(52,1),(62,1),(99,1),(101,1),(113,1),(150,1),(171,1),(206,1),(215,1),(264,1)}
        77:{1,2,4,6}:{(53,1),(54,1),(55,1),(103,1),(104,1),(107,1),(212,1),(216,1),(261,1)}
        78:{1,3,7}:{(54,1),(104,1),(105,1),(256,1)}
        79:{1,4,5}:{(55,1),(57,1),(106,1),(113,1)}
        80:{1,3,4,6}:{(55,1),(56,1),(58,1),(95,1),(104,1),(106,1),(107,1),(163,1)}
        81:{2,4,7}:{(56,1),(96,1),(105,1),(107,1),(108,1)}
        82:{3,5}:{(57,1),(58,1)}
        83:{2,3,4,6}:{(58,1),(59,1),(61,1),(98,1),(107,1),(110,1),(111,1),(156,1),(173,1),(211,1),(218,1),(221,1),(228,1),(265,1),(297,1)}
        84:{1,3,4,7}:{(59,1),(62,1),(99,1),(108,1),(111,1),(112,1),(115,1),(170,1),(206,1),(215,1),(252,1),(256,1),(308,1)}
        85:{2,5}:{(60,1),(61,1),(113,1)}
        86:{1,4,6}:{(61,1),(62,1),(63,1),(113,1)}
        87:{1,2,4,7}:{(62,1),(64,1),(112,1),(114,1),(115,1),(289,1),(308,1)}
        88:{1,2,6}:{(63,1),(64,1),(158,1),(314,1)}
        89:{1,4,6,7}:{(65,1),(66,1),(69,1),(116,1),(117,1),(304,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(71,1),(116,1),(118,1),(120,1),(176,1),(178,1),(233,1)}
        91:{3,6,7}:{(66,1),(72,1),(118,1),(305,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(74,1),(118,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(75,1),(119,1),(120,1),(121,1),(178,1),(180,1),(233,1)}
        94:{1,4,5,6}:{(69,1),(71,1),(79,1),(116,1),(122,1),(129,1),(187,1),(283,1),(304,1)}
        95:{1,3,6}:{(69,1),(70,1),(72,1),(123,1)}
        96:{2,5,7}:{(70,1),(81,1),(123,1),(124,1),(136,1)}
        97:{3,5,6}:{(71,1),(72,1),(82,1),(118,1),(125,1),(242,1),(284,1),(305,1)}
        98:{2,3,6}:{(72,1),(73,1),(75,1),(123,1),(127,1),(242,1),(305,1),(313,1)}
        99:{1,3,5,7}:{(73,1),(76,1),(84,1),(124,1),(127,1),(128,1),(140,1),(312,1)}
       100:{2,5,6}:{(74,1),(75,1),(85,1),(120,1),(129,1),(244,1)}
       101:{1,4,6}:{(75,1),(76,1),(127,1),(129,1)}
       102:{1,2,4,5,7}:{(76,1),(87,1),(128,1),(130,1),(131,1),(143,1),(181,1),(190,1),(200,1),(202,1),(233,1),(236,1),(244,1),(245,1),(277,1),(312,1)}
       103:{1,2,4,5}:{(77,1),(79,1),(132,1),(136,1),(143,1),(193,1),(197,1),(200,1),(202,1),(248,1),(285,1)}
       104:{1,3,6}:{(77,1),(78,1),(132,1),(133,1),(242,1)}
       105:{2,3,7}:{(78,1),(81,1),(133,1),(134,1),(272,1)}
       106:{1,3,5}:{(79,1),(80,1),(82,1),(136,1)}
       107:{2,4,6}:{(80,1),(81,1),(123,1),(133,1),(136,1),(137,1),(193,1)}
       108:{1,4,7}:{(81,1),(124,1),(134,1),(137,1)}
       109:{3,4,5}:{(82,1),(125,1),(139,1),(251,1),(284,1)}
       110:{2,3,5}:{(82,1),(83,1),(85,1),(136,1),(139,1),(140,1),(244,1),(284,1),(307,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(127,1),(137,1),(140,1),(141,1),(144,1),(187,1),(199,1),(202,1),(238,1),(241,1),(242,1),(246,1),(250,1),(251,1),(306,1)}
       112:{2,4,7}:{(84,1),(128,1),(141,1),(142,1),(272,1)}
       113:{1,5}:{(85,1),(86,1)}
       114:{1,2,4,6}:{(86,1),(87,1),(88,1),(141,1),(143,1),(144,1),(202,1),(280,1),(285,1),(306,1)}
       115:{1,3,7}:{(87,1),(142,1),(144,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(94,1),(145,1),(150,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(95,1),(145,1),(146,1),(310,1)}
       118:{3,5,7}:{(90,1),(91,1),(97,1),(147,1),(256,1)}
       119:{2,3,6,7}:{(91,1),(93,1),(98,1),(146,1),(148,1),(149,1),(256,1)}
       120:{2,5,7}:{(92,1),(93,1),(100,1),(150,1)}
       121:{1,4,6,7}:{(93,1),(101,1),(149,1),(150,1),(206,1)}
       122:{1,3,5,6}:{(94,1),(95,1),(97,1),(106,1),(145,1),(152,1),(153,1),(298,1),(310,1)}
       123:{2,6}:{(95,1),(96,1),(154,1)}
       124:{1,5,7}:{(96,1),(108,1),(154,1),(168,1)}
       125:{3,4,6}:{(97,1),(109,1),(147,1),(156,1)}
       126:{2,3,5,6}:{(97,1),(98,1),(100,1),(110,1),(148,1),(153,1),(156,1),(157,1),(211,1)}
       127:{1,3,6}:{(98,1),(99,1),(101,1),(154,1),(158,1),(314,1)}
       128:{2,5,7}:{(99,1),(112,1),(158,1),(172,1)}
       129:{1,5,6}:{(100,1),(101,1),(113,1),(150,1),(264,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(158,1),(160,1),(161,1),(216,1),(218,1),(219,1),(295,1),(314,1)}
       131:{1,3,5,7}:{(102,1),(115,1),(159,1),(161,1),(162,1),(174,1),(220,1),(227,1),(256,1),(294,1)}
       132:{1,3,5}:{(103,1),(104,1),(163,1),(164,1),(227,1),(299,1)}
       133:{2,3,6}:{(104,1),(105,1),(107,1),(164,1),(165,1),(261,1)}
       134:{1,3,7}:{(105,1),(108,1),(165,1),(166,1)}
       135:{1,3,4,5}:{(106,1),(109,1),(152,1),(163,1),(167,1),(171,1),(224,1),(227,1),(271,1),(298,1)}
       136:{2,5}:{(106,1),(107,1),(168,1)}
       137:{1,4,6}:{(107,1),(108,1),(154,1),(165,1),(168,1),(222,1)}
       138:{1,2,4,7}:{(108,1),(112,1),(155,1),(166,1),(169,1),(170,1),(215,1)}
       139:{2,4,5}:{(109,1),(110,1),(156,1),(171,1),(228,1)}
       140:{1,3,5}:{(110,1),(111,1),(113,1),(168,1),(171,1),(172,1),(227,1),(264,1),(311,1)}
       141:{2,4,6}:{(111,1),(112,1),(158,1),(172,1),(173,1),(228,1),(261,1),(267,1)}
       142:{2,3,7}:{(112,1),(115,1),(170,1),(173,1),(256,1)}
       143:{1,2,5}:{(113,1),(114,1),(172,1),(174,1),(311,1)}
       144:{1,3,6}:{(114,1),(115,1),(173,1),(174,1),(299,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(118,1),(122,1),(175,1),(176,1)}
       146:{2,6,7}:{(117,1),(123,1),(176,1),(177,1),(313,1)}
       147:{3,4,7}:{(118,1),(125,1),(178,1)}
       148:{2,3,5,7}:{(118,1),(119,1),(120,1),(126,1),(176,1),(178,1),(179,1),(229,1)}
       149:{1,3,6,7}:{(119,1),(121,1),(127,1),(177,1),(179,1),(180,1)}
       150:{1,5,7}:{(120,1),(121,1),(129,1)}
       151:{1,2,4,6,7}:{(121,1),(130,1),(180,1),(181,1),(182,1),(233,1),(235,1),(236,1)}
       152:{1,3,4,6}:{(122,1),(125,1),(135,1),(175,1),(183,1),(187,1),(238,1),(242,1)}
       153:{2,5,6}:{(122,1),(123,1),(136,1),(176,1),(183,1),(184,1),(307,1),(313,1)}
       154:{1,6}:{(123,1),(124,1)}
       155:{1,2,5,7}:{(124,1),(128,1),(138,1),(185,1),(186,1),(198,1)}
       156:{2,4,6}:{(125,1),(126,1),(139,1),(178,1),(187,1)}
       157:{1,3,5,6}:{(126,1),(127,1),(129,1),(140,1),(179,1),(184,1),(187,1),(188,1),(238,1),(242,1)}
       158:{2,6}:{(127,1),(128,1)}
       159:{2,3,5,7}:{(128,1),(131,1),(142,1),(186,1),(189,1),(190,1),(201,1),(244,1)}
       160:{1,2,5,6}:{(129,1),(130,1),(143,1),(181,1),(188,1),(191,1),(244,1),(278,1),(280,1)}
       161:{1,3,6}:{(130,1),(131,1),(189,1),(242,1),(305,1)}
       162:{1,3,4,7}:{(131,1),(190,1),(192,1),(202,1),(236,1),(251,1),(276,1)}
       163:{1,3,4}:{(132,1),(193,1),(202,1),(251,1)}
       164:{2,3,5}:{(132,1),(133,1),(136,1),(193,1),(194,1),(248,1),(286,1)}
       165:{1,3,6}:{(133,1),(134,1),(137,1),(194,1),(195,1)}
       166:{1,2,7}:{(134,1),(195,1),(272,1)}
       167:{2,4,5}:{(135,1),(136,1),(183,1),(193,1),(196,1),(197,1),(248,1),(288,1),(307,1)}
       168:{1,5}:{(136,1),(137,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(141,1),(185,1),(195,1),(198,1),(199,1),(241,1),(247,1),(250,1)}
       170:{1,3,7}:{(138,1),(142,1),(199,1)}
       171:{1,4,5}:{(139,1),(140,1),(187,1),(200,1),(202,1),(250,1)}
       172:{2,5}:{(140,1),(141,1)}
       173:{2,3,6}:{(141,1),(142,1),(144,1),(199,1),(201,1),(242,1),(286,1)}
       174:{1,3,5}:{(143,1),(144,1),(201,1),(202,1)}
       175:{1,3,4,7}:{(145,1),(147,1),(152,1),(203,1),(206,1),(252,1),(256,1)}
       176:{2,5,7}:{(145,1),(146,1),(153,1),(203,1),(204,1)}
       177:{1,6,7}:{(146,1),(154,1),(204,1),(314,1)}
       178:{2,4,7}:{(147,1),(148,1),(156,1),(206,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(157,1),(204,1),(206,1),(207,1),(252,1),(256,1)}
       180:{2,6,7}:{(149,1),(158,1),(207,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(160,1),(207,1),(209,1),(258,1),(289,1)}
       182:{1,3,6,7}:{(151,1),(161,1),(208,1),(209,1),(256,1),(314,1)}
       183:{2,4,6}:{(152,1),(153,1),(167,1),(203,1),(211,1),(212,1),(261,1)}
       184:{1,5,6}:{(153,1),(154,1),(168,1),(204,1),(212,1),(311,1),(314,1)}
       185:{1,2,6}:{(154,1),(155,1),(158,1),(214,1)}
       186:{1,3,5,7}:{(155,1),(159,1),(170,1),(214,1),(215,1),(226,1),(264,1)}
       187:{1,4,6}:{(156,1),(157,1),(171,1),(206,1),(216,1)}
       188:{2,5,6}:{(157,1),(158,1),(172,1),(207,1),(216,1),(261,1)}
       189:{2,3,6}:{(158,1),(159,1),(161,1),(214,1),(218,1)}
       190:{2,4,7}:{(159,1),(162,1),(215,1),(218,1),(228,1)}
       191:{1,3,5,6}:{(160,1),(161,1),(174,1),(209,1),(217,1),(219,1),(220,1),(296,1),(311,1),(314,1)}
       192:{1,3,4,6}:{(161,1),(162,1),(218,1),(219,1),(220,1),(265,1)}
       193:{2,4}:{(163,1),(164,1),(222,1)}
       194:{1,3,5}:{(164,1),(165,1),(168,1),(222,1),(223,1),(268,1)}
       195:{1,2,6}:{(165,1),(166,1),(223,1),(261,1)}
       196:{2,3,5}:{(167,1),(211,1),(221,1),(224,1),(227,1)}
       197:{1,4,5}:{(167,1),(168,1),(212,1),(222,1),(224,1),(300,1),(311,1)}
       198:{1,2,5}:{(168,1),(169,1),(172,1),(226,1),(264,1)}
       199:{1,3,6}:{(169,1),(170,1),(173,1),(226,1),(268,1)}
       200:{2,4,5}:{(171,1),(172,1),(216,1),(227,1),(228,1)}
       201:{2,3,5}:{(172,1),(173,1),(174,1),(226,1),(227,1),(228,1)}
       202:{1,4}:{(174,1),(228,1)}
       203:{2,4,7}:{(175,1),(176,1),(183,1),(229,1),(230,1),(272,1)}
       204:{1,5,7}:{(176,1),(177,1),(184,1),(230,1)}
       205:{1,2,6,7}:{(177,1),(180,1),(185,1),(231,1),(232,1),(313,1)}
       206:{1,4,7}:{(178,1),(179,1),(187,1),(233,1)}
       207:{2,5,7}:{(179,1),(180,1),(188,1),(233,1),(272,1)}
       208:{2,3,6,7}:{(180,1),(182,1),(189,1),(232,1),(234,1),(235,1),(305,1),(313,1)}
       209:{1,3,5,7}:{(181,1),(182,1),(191,1),(234,1),(236,1),(301,1),(312,1)}
       210:{1,3,4,6,7}:{(182,1),(192,1),(235,1),(236,1),(237,1),(276,1),(279,1),(305,1)}
       211:{2,3,6}:{(183,1),(196,1),(229,1),(238,1),(242,1)}
       212:{1,4,6}:{(183,1),(184,1),(197,1),(230,1),(238,1)}
       213:{1,2,5,6}:{(184,1),(185,1),(188,1),(198,1),(231,1),(239,1),(240,1),(307,1),(313,1)}
       214:{1,3,6}:{(185,1),(186,1),(189,1),(241,1)}
       215:{1,4,7}:{(186,1),(190,1),(241,1),(250,1)}
       216:{2,4,6}:{(187,1),(188,1),(200,1),(233,1),(242,1)}
       217:{2,3,5,6}:{(188,1),(189,1),(191,1),(201,1),(234,1),(240,1),(242,1),(243,1),(244,1),(278,1),(281,1),(284,1),(305,1),(307,1),(313,1)}
       218:{2,4,6}:{(189,1),(190,1),(192,1),(241,1),(244,1)}
       219:{1,4,6}:{(191,1),(202,1),(236,1),(243,1),(245,1)}
       220:{1,3,5}:{(192,1),(244,1),(245,1),(284,1)}
       221:{2,3,4}:{(193,1),(196,1),(246,1),(251,1),(286,1),(288,1)}
       222:{1,4}:{(193,1),(194,1)}
       223:{1,2,5}:{(194,1),(195,1),(247,1),(248,1)}
       224:{1,3,5}:{(196,1),(197,1),(238,1),(246,1),(248,1)}
       225:{1,2,4,5}:{(197,1),(198,1),(200,1),(239,1),(247,1),(248,1),(249,1),(250,1),(283,1),(288,1),(307,1)}
       226:{1,3,5}:{(198,1),(199,1),(201,1),(250,1)}
       227:{3,5}:{(200,1),(242,1),(251,1)}
       228:{2,4}:{(201,1),(202,1),(250,1),(251,1)}
       229:{2,3,7}:{(203,1),(211,1),(252,1),(256,1)}
       230:{1,4,7}:{(203,1),(204,1),(212,1),(252,1)}
       231:{1,2,5,7}:{(204,1),(205,1),(207,1),(213,1),(253,1),(254,1),(309,1)}
       232:{1,3,6,7}:{(205,1),(208,1),(214,1),(254,1),(255,1),(310,1)}
       233:{2,4,7}:{(206,1),(207,1),(216,1),(256,1)}
       234:{2,3,5,7}:{(207,1),(208,1),(209,1),(217,1),(254,1),(256,1),(257,1),(258,1),(290,1),(294,1),(309,1)}
       235:{2,4,6,7}:{(208,1),(210,1),(218,1),(255,1),(257,1),(258,1),(295,1)}
       236:{1,4,7}:{(209,1),(219,1),(257,1)}
       237:{1,3,5,7}:{(210,1),(220,1),(258,1),(259,1),(260,1),(294,1)}
       238:{1,3,6}:{(211,1),(212,1),(224,1),(252,1),(261,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(225,1),(253,1),(261,1),(262,1),(263,1),(297,1)}
       240:{1,3,5,6}:{(213,1),(214,1),(217,1),(226,1),(254,1),(262,1),(263,1),(264,1),(293,1),(298,1),(310,1)}
       241:{1,4,6}:{(214,1),(215,1),(218,1),(264,1)}
       242:{3,6}:{(216,1),(227,1),(256,1)}
       243:{2,4,6}:{(217,1),(219,1),(228,1),(257,1),(263,1),(265,1),(266,1)}
       244:{2,5}:{(218,1),(220,1),(264,1)}
       245:{1,4,5}:{(219,1),(220,1),(266,1),(311,1)}
       246:{1,3,4}:{(221,1),(222,1),(224,1),(267,1),(268,1),(299,1),(300,1)}
       247:{1,2,4}:{(222,1),(223,1),(267,1),(268,1)}
       248:{2,5}:{(224,1),(261,1),(267,1)}
       249:{1,3,5}:{(225,1),(227,1),(262,1),(268,1),(270,1),(271,1)}
       250:{1,4}:{(226,1),(228,1)}
       251:{3,4}:{(227,1),(228,1)}
       252:{1,3,7}:{(229,1),(230,1),(238,1),(272,1)}
       253:{1,2,4,7}:{(230,1),(231,1),(233,1),(239,1),(272,1),(273,1),(274,1),(302,1)}
       254:{1,3,5,7}:{(231,1),(232,1),(234,1),(240,1),(273,1),(274,1),(275,1)}
       255:{1,4,6,7}:{(232,1),(235,1),(241,1),(274,1),(275,1),(304,1)}
       256:{3,7}:{(233,1),(242,1)}
       257:{2,4,7}:{(234,1),(236,1),(243,1),(274,1),(276,1)}
       258:{2,5,7}:{(235,1),(237,1),(244,1),(275,1),(278,1)}
       259:{1,4,5,7}:{(236,1),(237,1),(245,1),(277,1),(279,1),(312,1)}
       260:{1,3,5,6}:{(237,1),(278,1),(279,1),(305,1)}
       261:{2,6}:{(238,1),(248,1),(272,1)}
       262:{1,3,6}:{(239,1),(242,1),(249,1),(273,1),(281,1)}
       263:{1,4,6}:{(240,1),(243,1),(250,1),(274,1),(283,1)}
       264:{1,5}:{(241,1),(244,1)}
       265:{3,4,6}:{(242,1),(243,1),(251,1),(276,1),(284,1),(305,1)}
       266:{2,4,5}:{(243,1),(244,1),(245,1),(283,1),(284,1),(307,1)}
       267:{2,4}:{(246,1),(248,1),(286,1)}
       268:{1,3}:{(247,1),(286,1)}
       269:{1,2,5}:{(248,1),(280,1),(285,1),(287,1)}
       270:{2,3,5}:{(248,1),(249,1),(281,1),(286,1),(287,1),(288,1),(307,1)}
       271:{1,3,4}:{(249,1),(250,1),(251,1),(288,1)}
       272:{2,7}:{(252,1),(261,1)}
       273:{1,3,7}:{(253,1),(256,1),(262,1),(290,1)}
       274:{1,4,7}:{(254,1),(257,1),(263,1)}
       275:{1,5,7}:{(255,1),(258,1),(264,1),(293,1)}
       276:{3,4,7}:{(256,1),(257,1),(265,1),(294,1)}
       277:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(292,1),(294,1),(295,1),(309,1)}
       278:{2,5,6}:{(258,1),(260,1),(293,1),(295,1)}
       279:{1,4,6}:{(259,1),(260,1),(295,1),(314,1)}
       280:{1,2,6}:{(261,1),(269,1),(289,1),(296,1)}
       281:{2,3,6}:{(261,1),(262,1),(270,1),(290,1),(296,1),(297,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(271,1),(291,1),(297,1),(298,1),(310,1)}
       283:{1,4,5}:{(263,1),(264,1),(266,1),(298,1)}
       284:{3,5}:{(265,1),(266,1)}
       285:{1,2,4}:{(267,1),(269,1),(299,1),(300,1)}
       286:{2,3}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(269,1),(270,1),(296,1),(299,1),(300,1),(311,1)}
       288:{2,4}:{(270,1),(271,1),(300,1)}
       289:{1,2,7}:{(272,1),(280,1),(301,1)}
       290:{2,3,7}:{(272,1),(273,1),(281,1),(301,1),(302,1)}
       291:{1,3,4,7}:{(273,1),(274,1),(276,1),(282,1),(302,1),(303,1)}
       292:{1,4,5,7}:{(274,1),(275,1),(277,1),(283,1),(303,1),(304,1)}
       293:{1,5,6}:{(275,1),(278,1),(304,1)}
       294:{3,5,7}:{(276,1),(277,1),(284,1),(305,1)}
       295:{2,4,6}:{(277,1),(278,1),(279,1),(304,1),(305,1),(313,1)}
       296:{1,3,6}:{(280,1),(281,1),(287,1),(301,1),(306,1)}
       297:{2,4,6}:{(281,1),(282,1),(288,1),(302,1),(306,1),(307,1),(313,1)}
       298:{1,3,5}:{(282,1),(283,1),(284,1),(307,1)}
       299:{1,3}:{(285,1),(286,1)}
       300:{1,4}:{(287,1),(288,1)}
       301:{1,3,7}:{(289,1),(290,1),(296,1),(308,1)}
       302:{2,4,7}:{(290,1),(291,1),(297,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(295,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{1,4,6}:{(296,1),(297,1),(300,1),(308,1),(311,1),(314,1)}
       307:{2,5}:{(297,1),(298,1),(311,1)}
       308:{1,4,7}:{(301,1),(302,1),(306,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(307,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(305,1),(313,1)}
       311:{1,5}:{(306,1),(307,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1474 :  0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{2,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(21,1),(24,1)}
        3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,5,7}:{(1,1),(8,1),(9,1),(19,1)}
        5:{2,4,7}:{(1,1),(2,1),(8,1),(10,1),(11,1),(17,1)}
        6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,4,7}:{(4,1),(5,1),(13,1),(14,1)}
        9:{1,6}:{(4,1),(6,1),(34,1)}
       10:{3,7}:{(5,1),(15,1)}
       11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,5}:{(7,1),(16,1)}
       13:{1,3,7}:{(8,1),(10,1),(17,1),(18,1)}
       14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
       16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,7}:{(13,1),(21,1),(22,1)}
       18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,5}:{(14,1),(16,1)}
       20:{3,5}:{(15,1),(16,1),(24,1)}
       21:{1,7}:{(17,1),(25,1)}
       22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{4}:{(20,1)}
       25:{1,6}:{(21,1),(22,1),(28,1)}
       26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,5}:{(25,1),(26,1),(30,1)}
       29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,4}:{(28,1),(29,1),(32,1)}
       31:{3}:{(29,1)}
       32:{1,3}:{(30,1),(31,1),(33,1)}
       33:{2}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

1475 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1476 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(14,1),(16,1),(18,1),(50,1)}
         1:{1,2,5}:{(0,1),(6,1),(28,1),(53,1),(72,1)}
         2:{1,3,6}:{(0,1),(5,1),(6,1),(9,1),(134,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(9,1),(29,1),(31,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(120,1)}
         5:{2,3,6}:{(2,1),(11,1),(13,1),(14,1),(15,1),(87,1),(120,1)}
         6:{1,3,5}:{(1,1),(2,1),(13,1),(16,1),(74,1),(116,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(17,1),(18,1),(47,1),(75,1),(119,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(16,1),(19,1),(20,1),(42,1),(48,1),(50,1),(52,1),(87,1),(89,1)}
         9:{1,3,7}:{(2,1),(3,1),(15,1),(149,1),(153,1)}
        10:{1,2,5}:{(4,1),(21,1),(22,1),(99,1)}
        11:{1,3,6}:{(4,1),(5,1),(22,1),(24,1),(25,1)}
        12:{1,2,7}:{(4,1),(25,1),(139,1),(181,1)}
        13:{2,3,5}:{(5,1),(6,1),(22,1),(26,1),(28,1),(54,1),(63,1),(99,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(26,1),(28,1),(29,1),(69,1)}
        15:{2,3,7}:{(5,1),(9,1),(25,1),(29,1),(110,1),(139,1),(165,1)}
        16:{1,4}:{(6,1),(26,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(9,1),(27,1),(31,1),(32,1),(72,1),(97,1),(135,1),(137,1)}
        18:{1,2,6}:{(7,1),(32,1),(69,1)}
        19:{1,3,5}:{(8,1),(28,1),(30,1),(63,1),(72,1),(112,1)}
        20:{1,3,4,7}:{(8,1),(9,1),(29,1),(31,1),(34,1),(64,1),(70,1),(110,1),(164,1)}
        21:{1,2,4}:{(10,1),(35,1),(37,1),(76,1)}
        22:{1,3,5}:{(10,1),(11,1),(13,1),(35,1),(37,1),(40,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(36,1),(38,1),(39,1),(81,1),(121,1)}
        24:{1,4,6}:{(11,1),(14,1),(37,1),(40,1),(41,1),(86,1)}
        25:{1,3,7}:{(11,1),(12,1),(15,1),(41,1),(174,1)}
        26:{2,4}:{(13,1),(16,1),(37,1),(42,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(44,1),(45,1),(47,1),(77,1),(88,1),(92,1),(121,1),(123,1)}
        28:{2,5}:{(14,1),(19,1),(40,1)}
        29:{2,4,7}:{(14,1),(15,1),(20,1),(41,1),(47,1),(173,1)}
        30:{1,4,5}:{(16,1),(19,1),(43,1),(48,1),(116,1),(132,1)}
        31:{1,4,7}:{(16,1),(17,1),(44,1),(50,1),(152,1)}
        32:{1,3,6}:{(17,1),(18,1),(45,1),(50,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(48,1),(51,1),(52,1),(87,1),(95,1),(131,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(52,1),(88,1),(172,1),(183,1)}
        35:{1,3}:{(21,1),(54,1)}
        36:{1,2,4,7}:{(21,1),(23,1),(56,1),(57,1),(59,1),(100,1)}
        37:{1,4}:{(22,1),(26,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(27,1),(56,1),(59,1),(60,1),(62,1),(105,1),(108,1)}
        39:{1,2,6}:{(23,1),(60,1),(140,1)}
        40:{1,5}:{(24,1),(28,1)}
        41:{1,4,7}:{(24,1),(25,1),(29,1),(62,1),(180,1)}
        42:{3,4}:{(26,1),(63,1)}
        43:{2,4,5}:{(26,1),(28,1),(30,1),(58,1),(63,1),(65,1),(99,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(64,1),(67,1),(142,1)}
        45:{2,3,6}:{(27,1),(32,1),(60,1),(67,1),(69,1),(111,1),(140,1)}
        46:{2,5,6}:{(28,1),(33,1),(61,1),(65,1),(68,1),(69,1)}
        47:{2,5,7}:{(28,1),(29,1),(34,1),(62,1),(69,1),(179,1),(186,1)}
        48:{1,4,6}:{(30,1),(33,1),(65,1),(70,1),(134,1),(148,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(34,1),(66,1),(70,1),(71,1),(72,1),(115,1),(135,1),(163,1),(177,1)}
        50:{1,4,6}:{(31,1),(32,1),(67,1),(72,1)}
        51:{1,3,5,7}:{(33,1),(68,1),(70,1),(73,1),(110,1),(115,1),(147,1)}
        52:{1,3,6}:{(34,1),(69,1),(71,1),(111,1)}
        53:{1,2}:{(74,1)}
        54:{2,3}:{(35,1),(74,1),(76,1)}
        55:{1,3,4}:{(35,1),(37,1),(42,1),(76,1),(78,1)}
        56:{1,3,7}:{(35,1),(36,1),(77,1),(80,1),(188,1)}
        57:{1,2,4,6}:{(36,1),(39,1),(80,1),(81,1),(84,1),(122,1),(127,1)}
        58:{1,4,5}:{(37,1),(40,1),(43,1),(78,1),(82,1)}
        59:{1,4,7}:{(37,1),(38,1),(44,1),(84,1),(127,1)}
        60:{1,3,6}:{(38,1),(39,1),(45,1),(84,1),(86,1)}
        61:{1,5,6}:{(40,1),(46,1),(82,1),(85,1),(86,1)}
        62:{1,5,7}:{(40,1),(41,1),(47,1),(86,1),(185,1),(188,1)}
        63:{3,5}:{(42,1),(43,1),(87,1)}
        64:{3,4,7}:{(42,1),(44,1),(88,1),(89,1),(157,1),(160,1)}
        65:{2,4,6}:{(43,1),(46,1),(48,1),(82,1),(87,1),(90,1),(120,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(47,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(121,1),(132,1),(133,1),(156,1),(160,1),(175,1)}
        67:{2,4,6}:{(44,1),(45,1),(50,1),(84,1),(89,1),(92,1)}
        68:{2,5,7}:{(46,1),(51,1),(85,1),(90,1),(93,1)}
        69:{2,6}:{(47,1),(52,1),(86,1)}
        70:{1,4,7}:{(48,1),(51,1),(90,1),(149,1),(160,1)}
        71:{1,4,6}:{(49,1),(52,1),(91,1),(95,1),(150,1)}
        72:{1,5}:{(50,1),(92,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(94,1),(130,1),(183,1)}
        74:{1,3}:{(53,1),(54,1),(96,1)}
        75:{1,2,7}:{(53,1),(97,1),(98,1),(186,1)}
        76:{2,4}:{(54,1),(55,1),(96,1),(99,1)}
        77:{2,3,7}:{(54,1),(56,1),(97,1),(100,1),(101,1),(182,1),(186,1)}
        78:{1,3,5}:{(55,1),(58,1),(63,1),(99,1),(102,1)}
        79:{1,3,4,7}:{(55,1),(56,1),(59,1),(64,1),(100,1),(103,1),(104,1),(169,1),(182,1)}
        80:{1,3,6}:{(56,1),(57,1),(101,1),(105,1),(187,1)}
        81:{1,2,5}:{(57,1),(105,1),(108,1),(141,1),(181,1)}
        82:{1,4,6}:{(58,1),(61,1),(65,1),(102,1),(106,1)}
        83:{1,4,5,7}:{(58,1),(59,1),(62,1),(66,1),(103,1),(106,1),(107,1),(108,1),(145,1),(146,1),(169,1)}
        84:{1,4,6}:{(59,1),(60,1),(67,1),(108,1)}
        85:{1,5,7}:{(61,1),(68,1),(106,1),(109,1)}
        86:{1,6}:{(62,1),(69,1)}
        87:{3,6}:{(63,1),(65,1),(110,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(168,1),(182,1)}
        89:{3,4,6}:{(64,1),(67,1),(111,1),(112,1),(148,1)}
        90:{2,4,7}:{(65,1),(68,1),(70,1),(106,1),(110,1),(139,1)}
        91:{2,4,6}:{(66,1),(69,1),(71,1),(107,1),(111,1),(114,1),(140,1),(148,1)}
        92:{2,5}:{(67,1),(72,1),(108,1),(112,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(186,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(73,1),(113,1),(115,1),(161,1),(177,1)}
        95:{1,5,6}:{(71,1),(72,1),(114,1),(115,1)}
        96:{1,4}:{(74,1),(76,1),(116,1)}
        97:{1,3,7}:{(74,1),(75,1),(77,1),(117,1),(118,1)}
        98:{1,2,6}:{(75,1),(118,1),(119,1),(184,1)}
        99:{2,5}:{(76,1),(78,1),(116,1),(120,1)}
       100:{2,4,7}:{(76,1),(77,1),(79,1),(117,1),(121,1),(122,1)}
       101:{2,3,6}:{(77,1),(80,1),(118,1),(122,1),(123,1),(176,1),(184,1)}
       102:{1,3,6}:{(78,1),(82,1),(87,1),(120,1),(124,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(83,1),(88,1),(121,1),(124,1),(125,1),(126,1)}
       104:{1,3,4,6}:{(79,1),(80,1),(84,1),(89,1),(122,1),(125,1),(126,1),(127,1),(157,1),(159,1),(176,1)}
       105:{1,3,5}:{(80,1),(81,1),(123,1),(127,1),(174,1),(185,1)}
       106:{1,4,7}:{(82,1),(85,1),(90,1),(124,1)}
       107:{1,4,6}:{(83,1),(86,1),(91,1),(125,1),(129,1)}
       108:{1,5}:{(84,1),(92,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,7}:{(87,1),(90,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,5}:{(89,1),(92,1),(132,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(93,1),(94,1),(128,1),(130,1),(133,1),(154,1),(160,1),(175,1)}
       114:{2,5,6}:{(91,1),(92,1),(95,1),(129,1),(131,1),(133,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,5}:{(96,1),(99,1),(134,1)}
       117:{1,4,7}:{(96,1),(97,1),(100,1),(135,1),(136,1)}
       118:{1,3,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,2,5}:{(98,1),(137,1),(138,1),(179,1)}
       120:{2,6}:{(99,1),(102,1),(134,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(103,1),(135,1),(139,1),(140,1),(141,1)}
       122:{2,4,6}:{(100,1),(101,1),(104,1),(136,1),(140,1),(141,1),(142,1)}
       123:{2,3,5}:{(101,1),(105,1),(137,1),(141,1),(142,1),(165,1),(168,1),(179,1)}
       124:{1,3,7}:{(102,1),(106,1),(110,1),(139,1)}
       125:{1,3,6}:{(103,1),(107,1),(111,1),(140,1)}
       126:{1,3,5}:{(104,1),(108,1),(112,1),(141,1),(145,1),(168,1)}
       127:{1,4}:{(105,1),(142,1)}
       128:{1,4,6,7}:{(106,1),(107,1),(109,1),(113,1),(143,1),(146,1),(169,1)}
       129:{1,5,6}:{(107,1),(108,1),(114,1),(146,1)}
       130:{3,6,7}:{(110,1),(111,1),(113,1),(147,1),(182,1)}
       131:{3,5,6}:{(111,1),(112,1),(114,1),(147,1),(148,1)}
       132:{4,5}:{(112,1),(148,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       134:{1,6}:{(116,1),(120,1),(149,1)}
       135:{1,5,7}:{(116,1),(117,1),(121,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(122,1),(150,1),(151,1),(152,1)}
       137:{1,3,5}:{(118,1),(119,1),(123,1),(151,1),(152,1),(153,1)}
       138:{1,2,4}:{(119,1),(152,1),(153,1),(173,1)}
       139:{2,7}:{(120,1),(124,1),(149,1)}
       140:{2,6}:{(121,1),(125,1),(150,1)}
       141:{2,5}:{(122,1),(126,1),(151,1)}
       142:{2,4}:{(123,1),(127,1),(152,1),(157,1)}
       143:{1,3,6,7}:{(124,1),(125,1),(128,1),(130,1),(154,1),(158,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(129,1),(131,1),(155,1),(158,1),(159,1),(176,1)}
       145:{1,4,5}:{(126,1),(127,1),(132,1),(156,1),(159,1),(185,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{3,5,7}:{(130,1),(131,1),(133,1),(160,1)}
       148:{4,6}:{(131,1),(132,1),(160,1)}
       149:{1,7}:{(134,1),(139,1)}
       150:{1,6}:{(135,1),(140,1)}
       151:{1,5}:{(136,1),(141,1)}
       152:{1,4}:{(137,1),(142,1)}
       153:{1,3}:{(138,1),(165,1)}
       154:{2,6,7}:{(139,1),(140,1),(143,1),(161,1),(166,1)}
       155:{2,5,6}:{(140,1),(141,1),(144,1),(162,1),(166,1),(167,1)}
       156:{2,4,5}:{(141,1),(142,1),(145,1),(163,1),(167,1),(168,1),(179,1)}
       157:{3,4}:{(142,1),(168,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(147,1),(166,1),(169,1),(182,1)}
       159:{1,4,6}:{(144,1),(145,1),(148,1),(167,1),(169,1),(187,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,6,7}:{(149,1),(150,1),(154,1),(170,1)}
       162:{1,5,6}:{(150,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,4,5}:{(151,1),(152,1),(156,1),(171,1),(172,1)}
       164:{1,3,4}:{(152,1),(153,1),(157,1),(172,1),(173,1)}
       165:{2,3}:{(153,1),(173,1),(174,1)}
       166:{2,5,7}:{(154,1),(155,1),(158,1),(170,1),(175,1)}
       167:{2,4,6}:{(155,1),(156,1),(159,1),(171,1),(175,1),(176,1),(184,1)}
       168:{3,5}:{(156,1),(157,1),(176,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(175,1),(188,1)}
       170:{1,5,7}:{(161,1),(162,1),(166,1),(177,1)}
       171:{1,4,6}:{(162,1),(163,1),(167,1),(177,1),(178,1)}
       172:{1,3,5}:{(163,1),(164,1),(168,1),(178,1),(179,1)}
       173:{2,4}:{(164,1),(165,1),(179,1),(180,1)}
       174:{1,3}:{(165,1),(180,1),(181,1)}
       175:{2,4,7}:{(166,1),(167,1),(169,1),(177,1),(182,1),(186,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{1,4,7}:{(170,1),(171,1),(175,1),(183,1)}
       178:{1,3,6}:{(171,1),(172,1),(176,1),(183,1),(184,1)}
       179:{2,5}:{(172,1),(173,1),(184,1),(185,1)}
       180:{1,4}:{(173,1),(174,1),(185,1)}
       181:{1,2}:{(174,1)}
       182:{3,7}:{(175,1),(176,1)}
       183:{1,3,7}:{(177,1),(178,1),(182,1),(186,1)}
       184:{2,6}:{(178,1),(179,1),(186,1),(187,1)}
       185:{1,5}:{(179,1),(180,1),(187,1)}
       186:{2,7}:{(183,1),(184,1),(188,1)}
       187:{1,6}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1477 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1478 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1479 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1480 :   0:{1,2,3,5}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(24,1),(144,1)}
         3:{1,2,3}:{(8,1)}
         4:{1,3,4}:{(1,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(1,1),(11,1),(13,1),(14,1),(36,1),(43,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(46,1),(123,1),(157,1)}
         7:{1,2,3,7}:{(2,1),(15,1),(42,1)}
         8:{1,2,4}:{(3,1),(16,1),(17,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(20,1),(97,1)}
        10:{2,3,4}:{(4,1),(16,1),(21,1)}
        11:{1,3,5}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(22,1),(24,1),(25,1),(26,1),(63,1),(66,1),(101,1),(141,1)}
        13:{1,2,4,6}:{(5,1),(24,1),(27,1),(28,1),(56,1),(63,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(26,1),(29,1),(168,1)}
        16:{1,3,4}:{(8,1),(10,1),(30,1)}
        17:{1,2,5}:{(8,1),(30,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        19:{1,2,3,5}:{(9,1),(33,1),(35,1),(75,1)}
        20:{1,2,3,7}:{(9,1),(34,1),(121,1)}
        21:{2,3,5}:{(10,1),(11,1),(30,1),(36,1),(37,1)}
        22:{2,3,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1),(39,1),(77,1),(80,1),(84,1),(120,1)}
        23:{1,3,4,5}:{(11,1),(36,1),(40,1),(43,1),(82,1)}
        24:{1,3,6}:{(11,1),(13,1),(37,1),(42,1)}
        25:{1,3,5}:{(12,1),(14,1),(38,1),(43,1)}
        26:{1,3,4,7}:{(12,1),(15,1),(39,1),(42,1),(44,1),(87,1),(158,1)}
        27:{1,2,5,6}:{(13,1),(14,1),(41,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,4,7}:{(13,1),(42,1),(45,1),(79,1),(87,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(44,1),(46,1)}
        30:{1,3,5}:{(16,1),(17,1),(21,1),(47,1),(48,1)}
        31:{1,3,4,6}:{(16,1),(18,1),(22,1),(48,1),(49,1),(50,1),(55,1),(92,1),(96,1),(97,1)}
        32:{1,2,6}:{(17,1),(48,1),(52,1)}
        33:{1,2,5}:{(18,1),(49,1)}
        34:{1,2,4,7}:{(18,1),(20,1),(50,1),(52,1),(54,1)}
        35:{1,2,4}:{(19,1),(55,1)}
        36:{2,4,5}:{(21,1),(23,1),(47,1),(56,1)}
        37:{2,3,6}:{(21,1),(24,1),(48,1),(56,1),(58,1)}
        38:{2,3,5}:{(22,1),(25,1),(49,1),(59,1)}
        39:{2,3,4,7}:{(22,1),(26,1),(50,1),(58,1),(60,1),(105,1),(142,1)}
        40:{1,3,4,6}:{(23,1),(24,1),(56,1),(61,1),(62,1),(63,1),(104,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(57,1),(63,1),(64,1),(66,1),(112,1),(141,1),(163,1)}
        42:{1,3,7}:{(24,1),(28,1),(58,1)}
        43:{1,4,5}:{(25,1),(59,1),(63,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(29,1),(60,1),(65,1),(66,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(64,1),(67,1),(103,1),(168,1)}
        46:{1,2,6}:{(29,1),(66,1)}
        47:{1,4,5}:{(30,1),(36,1),(68,1)}
        48:{1,3,6}:{(30,1),(32,1),(37,1),(68,1),(70,1)}
        49:{1,3,5}:{(31,1),(33,1),(38,1),(71,1)}
        50:{1,3,4,7}:{(31,1),(34,1),(39,1),(70,1),(72,1),(116,1),(121,1)}
        51:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(76,1),(151,1)}
        52:{1,2,7}:{(32,1),(70,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(71,1),(73,1),(75,1),(118,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(72,1),(76,1)}
        55:{1,3,4}:{(35,1),(75,1),(77,1)}
        56:{2,4,6}:{(36,1),(37,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(69,1),(78,1),(80,1),(81,1),(84,1),(120,1),(124,1),(130,1),(151,1)}
        58:{2,3,7}:{(37,1),(42,1),(70,1),(79,1)}
        59:{2,4,5}:{(38,1),(43,1),(71,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(44,1),(72,1),(83,1),(84,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(124,1)}
        62:{1,3,4,7}:{(40,1),(42,1),(79,1),(86,1),(87,1),(127,1)}
        63:{1,4,6}:{(41,1),(43,1),(80,1),(87,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(45,1),(81,1),(87,1),(88,1),(132,1),(158,1),(171,1)}
        65:{1,4,5,7}:{(43,1),(44,1),(83,1),(87,1),(89,1),(132,1)}
        66:{1,3,6}:{(44,1),(46,1),(84,1),(89,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(88,1),(126,1)}
        68:{1,4,6}:{(47,1),(48,1),(56,1),(90,1),(91,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(51,1),(57,1),(90,1),(92,1),(93,1),(96,1),(97,1),(140,1)}
        70:{1,3,7}:{(48,1),(52,1),(58,1),(91,1)}
        71:{1,4,5}:{(49,1),(59,1),(92,1)}
        72:{1,3,5,7}:{(49,1),(50,1),(54,1),(60,1),(95,1),(96,1)}
        73:{1,2,4,6}:{(51,1),(53,1),(92,1),(97,1),(98,1),(136,1)}
        74:{1,2,5,7}:{(51,1),(52,1),(93,1),(98,1),(99,1),(164,1)}
        75:{1,3,5}:{(53,1),(55,1),(97,1),(100,1)}
        76:{1,2,6}:{(54,1),(96,1)}
        77:{2,3,4}:{(55,1),(100,1),(101,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(103,1)}
        79:{2,4,7}:{(56,1),(58,1),(62,1),(91,1),(103,1)}
        80:{2,4,6}:{(57,1),(59,1),(63,1),(92,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(57,1),(58,1),(64,1),(93,1),(103,1),(105,1),(106,1),(142,1),(145,1),(148,1),(164,1)}
        82:{3,4,5}:{(59,1),(104,1)}
        83:{2,4,5,7}:{(59,1),(60,1),(65,1),(95,1),(105,1),(107,1),(108,1),(148,1)}
        84:{2,3,6}:{(60,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(102,1),(109,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(103,1),(109,1),(110,1),(145,1)}
        87:{1,4,7}:{(63,1),(64,1),(105,1)}
        88:{1,3,6,7}:{(64,1),(66,1),(67,1),(106,1),(111,1),(174,1)}
        89:{1,4,6}:{(65,1),(66,1),(108,1),(112,1)}
        90:{1,5,6}:{(68,1),(78,1),(114,1)}
        91:{1,4,7}:{(68,1),(70,1),(79,1),(114,1)}
        92:{1,4,6}:{(69,1),(71,1),(80,1),(116,1)}
        93:{1,3,5,7}:{(69,1),(70,1),(74,1),(81,1),(114,1),(116,1),(117,1),(121,1),(156,1)}
        94:{1,3,4,5}:{(71,1),(75,1),(82,1),(115,1),(118,1)}
        95:{1,4,5,7}:{(71,1),(72,1),(83,1),(116,1),(119,1),(156,1)}
        96:{1,3,6}:{(72,1),(76,1),(84,1),(119,1)}
        97:{1,3,6}:{(73,1),(75,1),(120,1),(121,1)}
        98:{1,2,4,7}:{(73,1),(74,1),(116,1),(121,1),(155,1)}
        99:{1,2,6,7}:{(74,1),(76,1),(117,1),(172,1)}
       100:{2,3,5}:{(75,1),(77,1),(118,1),(120,1),(122,1)}
       101:{1,3,4}:{(77,1),(122,1),(123,1)}
       102:{2,4,5,6}:{(78,1),(80,1),(85,1),(113,1),(124,1),(125,1),(130,1),(151,1),(162,1)}
       103:{2,5,7}:{(78,1),(79,1),(86,1),(114,1),(126,1)}
       104:{3,4,6}:{(80,1),(82,1),(124,1),(127,1)}
       105:{2,4,7}:{(80,1),(81,1),(87,1),(116,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(84,1),(88,1),(117,1),(126,1),(128,1),(159,1),(172,1)}
       107:{3,4,5,7}:{(82,1),(83,1),(127,1),(129,1),(161,1)}
       108:{2,4,6}:{(83,1),(84,1),(89,1),(119,1),(129,1),(130,1)}
       109:{1,4,5,7}:{(85,1),(86,1),(87,1),(125,1),(131,1),(132,1),(171,1)}
       110:{1,3,6,7}:{(86,1),(126,1),(131,1),(159,1)}
       111:{1,4,6,7}:{(87,1),(88,1),(89,1),(128,1),(132,1)}
       112:{1,5,6}:{(89,1),(130,1),(132,1)}
       113:{1,4,5,6}:{(90,1),(92,1),(102,1),(133,1),(134,1),(140,1)}
       114:{1,5,7}:{(90,1),(91,1),(103,1),(135,1)}
       115:{1,3,4,6}:{(92,1),(94,1),(97,1),(104,1),(133,1),(136,1),(137,1)}
       116:{1,4,7}:{(92,1),(93,1),(105,1)}
       117:{1,3,6,7}:{(93,1),(96,1),(99,1),(106,1),(135,1),(138,1)}
       118:{2,4,5}:{(94,1),(100,1),(136,1),(139,1)}
       119:{1,4,6}:{(95,1),(96,1),(108,1),(140,1)}
       120:{2,3,6}:{(97,1),(100,1),(136,1),(141,1),(142,1)}
       121:{1,3,7}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(100,1),(101,1),(139,1),(141,1),(143,1)}
       123:{1,2,4}:{(101,1),(143,1),(144,1)}
       124:{3,5,6}:{(102,1),(104,1),(145,1)}
       125:{2,4,5,7}:{(102,1),(103,1),(105,1),(109,1),(134,1),(145,1),(146,1),(148,1),(164,1),(170,1)}
       126:{2,6,7}:{(103,1),(110,1),(135,1)}
       127:{3,4,7}:{(104,1),(105,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(138,1),(147,1),(148,1)}
       129:{3,4,6}:{(107,1),(108,1),(149,1)}
       130:{2,5,6}:{(108,1),(112,1),(140,1),(148,1),(149,1)}
       131:{1,4,6,7}:{(109,1),(110,1),(146,1),(150,1),(174,1)}
       132:{1,5,7}:{(111,1),(112,1),(148,1)}
       133:{1,3,5,6}:{(113,1),(115,1),(124,1),(151,1),(152,1)}
       134:{1,4,5,7}:{(113,1),(114,1),(116,1),(125,1),(152,1),(153,1),(156,1)}
       135:{1,6,7}:{(114,1),(126,1)}
       136:{2,4,6}:{(115,1),(118,1),(120,1),(151,1),(154,1),(155,1)}
       137:{1,3,4,7}:{(115,1),(116,1),(121,1),(127,1),(152,1),(155,1)}
       138:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(156,1)}
       139:{1,4,5}:{(118,1),(122,1),(154,1)}
       140:{1,5,6}:{(119,1),(130,1),(156,1)}
       141:{1,3,6}:{(120,1),(122,1),(154,1),(157,1),(158,1)}
       142:{2,3,7}:{(120,1),(121,1),(155,1),(158,1)}
       143:{1,2,5}:{(122,1),(123,1),(157,1)}
       144:{1,2,3}:{(123,1)}
       145:{3,5,7}:{(124,1),(125,1),(127,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(131,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(127,1),(128,1),(129,1),(159,1),(161,1),(173,1)}
       148:{2,5,7}:{(128,1),(130,1),(132,1),(156,1),(161,1)}
       149:{3,5,6}:{(129,1),(130,1),(161,1),(162,1)}
       150:{1,5,6,7}:{(131,1),(132,1),(160,1)}
       151:{2,5,6}:{(133,1),(136,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(133,1),(134,1),(137,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(134,1),(135,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(136,1),(139,1),(141,1),(163,1),(167,1)}
       155:{2,4,7}:{(136,1),(137,1),(142,1),(164,1),(167,1)}
       156:{1,5,7}:{(138,1),(140,1),(148,1)}
       157:{1,2,6}:{(141,1),(143,1),(168,1)}
       158:{1,3,7}:{(141,1),(142,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(148,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1481 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1482 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1483 :   0:{1,2,5,6,7}:{(1,1),(2,1),(43,1),(83,1),(90,1),(137,1),(142,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(25,1),(58,1),(107,1),(113,1),(166,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(118,1),(169,1),(173,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(24,1),(31,1),(64,1),(72,1),(118,1),(125,1),(127,1),(163,1),(169,1),(173,1),(210,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(79,1),(93,1),(134,1),(142,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(43,1),(79,1),(85,1),(142,1),(144,1),(194,1)}
         6:{1,4,6,7}:{(1,1),(12,1),(13,1),(141,1),(191,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(43,1),(45,1),(92,1),(137,1),(143,1),(148,1),(151,1),(191,1)}
         8:{1,3,6,7}:{(2,1),(15,1),(16,1),(145,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(15,1),(17,1),(18,1),(97,1),(145,1),(156,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(19,1),(21,1),(29,1),(54,1),(66,1),(113,1),(122,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(55,1),(162,1),(169,1),(208,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(24,1),(25,1),(107,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(27,1),(63,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(9,1),(27,1),(28,1),(171,1),(179,1)}
        16:{2,3,6,7}:{(8,1),(26,1),(28,1),(29,1),(117,1),(173,1)}
        17:{1,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(210,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(28,1),(31,1),(32,1),(64,1),(71,1),(117,1),(125,1),(128,1),(173,1)}
        19:{1,4,6,7}:{(10,1),(12,1),(34,1),(141,1),(150,1)}
        20:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(36,1),(79,1),(81,1),(93,1),(136,1),(143,1),(150,1),(189,1),(192,1)}
        21:{1,3,6,7}:{(11,1),(36,1),(37,1),(186,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(34,1),(38,1),(39,1),(43,1),(79,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(196,1)}
        24:{1,4,5,6}:{(13,1),(38,1),(41,1),(134,1),(141,1),(200,1)}
        25:{1,3,5,7}:{(13,1),(14,1),(39,1),(41,1),(43,1)}
        26:{2,4,6,7}:{(14,1),(16,1),(43,1),(44,1),(45,1),(89,1)}
        27:{1,3,4,7}:{(15,1),(17,1),(45,1),(191,1),(196,1)}
        28:{2,3,5,7}:{(15,1),(16,1),(18,1),(43,1),(45,1),(46,1),(148,1),(152,1)}
        29:{1,3,6,7}:{(16,1),(44,1),(46,1),(47,1),(145,1)}
        30:{1,3,4,5}:{(17,1),(48,1),(97,1),(155,1),(228,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(45,1),(48,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(46,1),(50,1),(51,1),(90,1),(97,1),(100,1),(145,1)}
        33:{1,2,4,5,6}:{(20,1),(52,1),(53,1),(102,1),(105,1),(119,1),(158,1),(162,1),(169,1),(175,1),(204,1),(206,1),(208,1),(216,1),(244,1)}
        34:{1,4,5,7}:{(19,1),(22,1),(53,1),(54,1),(66,1)}
        35:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(54,1),(55,1),(56,1),(104,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(56,1),(57,1),(171,1),(214,1)}
        37:{2,3,6,7}:{(21,1),(55,1),(57,1),(58,1),(161,1),(208,1)}
        38:{2,4,5,6}:{(22,1),(24,1),(53,1),(59,1),(64,1),(105,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(59,1)}
        40:{2,3,4,6,7}:{(23,1),(26,1),(55,1),(61,1),(62,1),(68,1),(109,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(218,1),(237,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(59,1),(63,1),(64,1),(219,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(30,1),(60,1),(63,1),(65,1),(114,1),(120,1),(171,1),(178,1),(219,1)}
        43:{2,5,7}:{(25,1),(26,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(29,1),(66,1),(69,1),(118,1)}
        45:{2,4,7}:{(27,1),(28,1),(31,1),(69,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(32,1),(66,1),(69,1),(70,1),(124,1)}
        47:{1,2,6,7}:{(29,1),(70,1),(173,1)}
        48:{2,4,5}:{(30,1),(31,1),(71,1),(72,1),(125,1),(181,1)}
        49:{2,3,4,6}:{(31,1),(68,1),(71,1),(73,1),(117,1),(128,1),(181,1),(215,1),(218,1)}
        50:{1,4,6}:{(31,1),(32,1),(69,1),(72,1)}
        51:{1,2,5,6}:{(32,1),(70,1),(74,1),(125,1),(173,1)}
        52:{1,3,5,6}:{(33,1),(36,1),(75,1),(76,1),(182,1),(186,1),(194,1),(224,1),(231,1)}
        53:{1,4,5,6}:{(34,1),(38,1),(77,1),(90,1),(141,1),(228,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(39,1),(77,1),(79,1)}
        55:{2,4,6,7}:{(35,1),(37,1),(79,1),(80,1),(81,1),(133,1)}
        56:{1,3,4,7}:{(36,1),(75,1),(81,1),(150,1),(196,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(76,1),(79,1),(81,1),(82,1),(189,1),(193,1)}
        58:{1,3,6,7}:{(37,1),(80,1),(82,1),(83,1),(186,1)}
        59:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        60:{3,4,5,7}:{(39,1),(84,1),(86,1),(196,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(44,1),(80,1),(87,1),(88,1),(94,1),(95,1),(138,1),(139,1),(141,1),(145,1),(150,1),(186,1),(191,1),(194,1),(196,1),(199,1),(227,1),(232,1),(242,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(84,1),(89,1),(141,1),(145,1),(194,1)}
        64:{2,5,6}:{(41,1),(43,1),(89,1),(90,1),(233,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(89,1),(91,1),(92,1),(148,1),(202,1),(233,1)}
        66:{1,5,7}:{(43,1),(44,1),(90,1)}
        67:{1,2,4,6,7}:{(44,1),(47,1),(88,1),(93,1),(94,1),(96,1),(146,1),(150,1),(192,1),(225,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(49,1),(91,1),(95,1),(152,1),(196,1),(202,1)}
        69:{1,4,7}:{(45,1),(46,1),(50,1)}
        70:{1,2,5,7}:{(46,1),(47,1),(51,1),(96,1),(148,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,4,5}:{(48,1),(50,1),(97,1),(203,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(95,1),(97,1),(99,1),(100,1),(145,1),(155,1),(156,1),(203,1),(232,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(96,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(56,1),(101,1),(102,1),(175,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(57,1),(102,1),(103,1),(105,1),(157,1),(161,1),(204,1),(207,1),(208,1)}
        77:{1,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(105,1),(238,1)}
        78:{1,3,4,5,7}:{(54,1),(56,1),(60,1),(101,1),(104,1),(106,1),(114,1),(164,1),(171,1),(213,1),(238,1)}
        79:{2,5,7}:{(54,1),(55,1),(105,1),(107,1)}
        80:{1,4,6,7}:{(55,1),(58,1),(107,1),(110,1),(162,1)}
        81:{2,4,7}:{(56,1),(57,1),(102,1),(110,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(103,1),(107,1),(110,1),(111,1),(168,1)}
        83:{1,2,6,7}:{(58,1),(111,1),(208,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,3,5,6}:{(59,1),(61,1),(64,1),(105,1),(112,1),(113,1),(117,1),(161,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(112,1),(114,1),(172,1),(216,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(66,1),(107,1),(113,1),(114,1),(115,1),(171,1),(219,1),(238,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(123,1),(167,1),(169,1),(172,1),(173,1),(208,1),(218,1),(237,1)}
        89:{2,4,6}:{(63,1),(64,1),(65,1),(117,1),(118,1),(173,1)}
        90:{1,5,6}:{(64,1),(66,1),(118,1),(240,1)}
        91:{2,3,5,7}:{(65,1),(68,1),(71,1),(117,1),(120,1),(171,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(72,1),(118,1),(120,1),(220,1),(240,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(115,1),(119,1),(122,1),(244,1)}
        94:{1,3,6,7}:{(67,1),(116,1),(122,1),(124,1),(174,1),(214,1),(236,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(73,1),(120,1),(123,1),(124,1),(179,1),(220,1)}
        96:{1,2,4,7}:{(69,1),(70,1),(74,1),(123,1),(124,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(125,1),(240,1)}
        98:{1,2,4,5}:{(72,1),(74,1),(125,1),(126,1),(181,1)}
        99:{2,4,6}:{(73,1),(123,1),(125,1),(128,1),(173,1),(181,1)}
       100:{1,3,6}:{(74,1),(124,1),(126,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(129,1),(182,1),(200,1),(223,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(81,1),(129,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(82,1),(131,1),(132,1),(134,1),(182,1),(185,1),(186,1)}
       104:{1,3,4,6}:{(77,1),(78,1),(84,1),(133,1),(141,1),(186,1),(194,1)}
       105:{2,5,6}:{(77,1),(79,1),(133,1),(134,1),(243,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(81,1),(129,1),(133,1),(135,1),(136,1),(189,1),(230,1),(243,1)}
       107:{1,5,7}:{(79,1),(80,1),(134,1)}
       108:{1,2,4,6,7}:{(80,1),(83,1),(88,1),(137,1),(138,1),(140,1),(151,1),(187,1),(191,1),(197,1),(232,1)}
       109:{2,3,4,7}:{(81,1),(130,1),(135,1),(139,1),(193,1),(196,1),(230,1)}
       110:{1,4,7}:{(81,1),(82,1),(131,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(132,1),(140,1),(189,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,3,5,6}:{(85,1),(87,1),(90,1),(134,1),(141,1),(142,1),(145,1),(186,1),(194,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(141,1),(143,1),(150,1),(191,1),(200,1),(228,1)}
       115:{2,5,7}:{(87,1),(88,1),(142,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(94,1),(138,1),(144,1),(152,1),(193,1),(194,1),(198,1),(226,1)}
       117:{2,3,6}:{(89,1),(91,1),(145,1),(194,1)}
       118:{1,4,6}:{(89,1),(90,1),(92,1),(145,1)}
       119:{1,2,5,6}:{(90,1),(93,1),(142,1),(146,1),(147,1),(225,1),(233,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(97,1),(145,1),(148,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(96,1),(98,1),(143,1),(146,1),(148,1),(149,1),(150,1),(200,1),(202,1),(233,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(144,1),(147,1),(150,1)}
       123:{2,4,7}:{(95,1),(99,1),(148,1),(152,1)}
       124:{1,3,7}:{(96,1),(100,1),(152,1)}
       125:{2,5}:{(97,1),(99,1)}
       126:{1,3,5}:{(98,1),(100,1),(154,1),(155,1)}
       127:{1,2,4,6}:{(99,1),(151,1),(153,1),(156,1),(197,1),(203,1),(232,1)}
       128:{2,3,6}:{(99,1),(100,1),(152,1),(154,1),(156,1)}
       129:{2,4,5}:{(101,1),(102,1),(157,1),(158,1),(204,1),(235,1)}
       130:{2,3,4,6}:{(102,1),(109,1),(157,1),(159,1),(161,1),(207,1),(215,1),(235,1),(237,1)}
       131:{1,4,6}:{(102,1),(103,1),(110,1),(158,1)}
       132:{1,2,5,6}:{(103,1),(111,1),(160,1),(204,1),(208,1)}
       133:{2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(208,1)}
       134:{1,5,6}:{(105,1),(107,1),(162,1),(244,1)}
       135:{2,3,5,7}:{(106,1),(109,1),(157,1),(161,1),(164,1),(171,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(158,1),(162,1),(164,1),(239,1),(244,1)}
       137:{1,2,5,7}:{(107,1),(108,1),(115,1),(163,1),(166,1),(240,1)}
       138:{1,3,6,7}:{(108,1),(116,1),(166,1),(168,1),(179,1),(209,1),(217,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(159,1),(164,1),(167,1),(168,1),(214,1),(239,1)}
       140:{1,2,4,7}:{(110,1),(111,1),(160,1),(167,1),(168,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,5,6}:{(113,1),(115,1),(169,1),(173,1),(208,1)}
       143:{2,4,5,7}:{(114,1),(115,1),(169,1),(171,1),(172,1),(216,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(122,1),(166,1),(170,1),(171,1),(172,1)}
       145:{1,3,6}:{(117,1),(118,1),(120,1),(173,1)}
       146:{1,2,4,6}:{(118,1),(119,1),(121,1),(169,1),(173,1),(174,1),(175,1),(218,1)}
       147:{1,3,5,6}:{(119,1),(122,1),(170,1),(174,1),(175,1),(219,1),(236,1),(244,1)}
       148:{2,5,7}:{(120,1),(123,1),(125,1),(173,1)}
       149:{1,3,5,7}:{(121,1),(124,1),(126,1),(171,1),(174,1),(177,1),(178,1),(219,1)}
       150:{1,4,7}:{(122,1),(172,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(127,1),(176,1),(179,1),(220,1)}
       152:{2,3,7}:{(123,1),(124,1),(128,1),(179,1)}
       153:{1,2,5}:{(125,1),(127,1),(180,1),(240,1)}
       154:{2,3,5}:{(125,1),(126,1),(128,1),(180,1),(181,1)}
       155:{1,3,4}:{(126,1),(181,1)}
       156:{1,3,6}:{(127,1),(128,1),(179,1),(180,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,4,5}:{(129,1),(131,1),(182,1),(241,1)}
       159:{1,3,4,6}:{(130,1),(131,1),(139,1),(182,1),(184,1),(185,1),(186,1),(223,1),(224,1),(241,1),(242,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(140,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(186,1),(194,1)}
       162:{1,4,6}:{(133,1),(134,1),(136,1),(186,1)}
       163:{1,2,5,6}:{(134,1),(137,1),(142,1),(187,1),(188,1),(197,1),(243,1)}
       164:{1,3,5,7}:{(135,1),(136,1),(139,1),(182,1),(186,1),(189,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(140,1),(143,1),(183,1),(187,1),(189,1),(190,1),(191,1),(228,1),(230,1),(243,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(144,1),(188,1),(191,1)}
       167:{2,4,7}:{(139,1),(184,1),(189,1),(193,1)}
       168:{1,3,7}:{(140,1),(185,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{2,3,5,6}:{(142,1),(144,1),(147,1),(188,1),(194,1),(195,1),(198,1),(226,1),(231,1),(233,1),(243,1)}
       171:{3,5,7}:{(143,1),(194,1),(196,1),(231,1)}
       172:{2,4,7}:{(144,1),(150,1),(191,1),(195,1),(196,1)}
       173:{2,6}:{(145,1),(148,1)}
       174:{1,3,6}:{(146,1),(149,1),(194,1),(198,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(200,1)}
       176:{1,2,5,7}:{(148,1),(151,1),(153,1),(197,1),(201,1)}
       177:{2,3,5,7}:{(148,1),(149,1),(152,1),(154,1),(198,1),(201,1),(202,1),(233,1)}
       178:{1,3,4,7}:{(149,1),(150,1),(155,1),(196,1),(199,1),(202,1)}
       179:{1,3,7}:{(151,1),(152,1),(156,1)}
       180:{1,3,5}:{(153,1),(154,1),(156,1),(203,1)}
       181:{2,4}:{(154,1),(155,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(204,1),(244,1)}
       183:{1,2,4,5}:{(158,1),(160,1),(204,1),(205,1),(235,1)}
       184:{2,4,6}:{(159,1),(167,1),(204,1),(207,1),(208,1),(235,1)}
       185:{1,3,6}:{(160,1),(168,1),(205,1),(207,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(208,1)}
       187:{1,2,4,6}:{(162,1),(163,1),(165,1),(169,1),(208,1),(209,1),(210,1),(237,1)}
       188:{1,3,5,6}:{(163,1),(166,1),(170,1),(209,1),(210,1),(217,1),(238,1),(240,1)}
       189:{2,5,7}:{(164,1),(167,1),(204,1),(208,1)}
       190:{1,3,5,7}:{(165,1),(168,1),(171,1),(205,1),(209,1),(212,1),(213,1),(238,1)}
       191:{1,4,7}:{(166,1),(172,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(206,1),(211,1),(214,1),(239,1)}
       193:{2,3,7}:{(167,1),(168,1),(207,1),(214,1)}
       194:{3,6}:{(169,1),(171,1)}
       195:{2,4,6}:{(170,1),(172,1),(175,1),(210,1),(215,1),(216,1)}
       196:{3,4,7}:{(171,1),(172,1),(215,1)}
       197:{1,2,6}:{(173,1),(176,1),(217,1)}
       198:{2,3,6}:{(173,1),(174,1),(177,1),(217,1),(218,1)}
       199:{1,3,4,6}:{(174,1),(175,1),(178,1),(215,1),(218,1),(219,1)}
       200:{1,4,5}:{(175,1),(216,1),(219,1),(244,1)}
       201:{1,3,5,7}:{(176,1),(177,1),(179,1),(180,1),(217,1),(220,1),(240,1)}
       202:{2,4,7}:{(177,1),(178,1),(181,1),(218,1),(220,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{2,5}:{(182,1),(184,1)}
       205:{1,3,5}:{(183,1),(185,1),(222,1),(223,1)}
       206:{1,2,4,6}:{(184,1),(192,1),(221,1),(224,1),(225,1),(241,1),(242,1)}
       207:{2,3,6}:{(184,1),(185,1),(193,1),(222,1),(224,1)}
       208:{2,6}:{(186,1),(189,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(226,1)}
       210:{1,4,6}:{(188,1),(191,1),(195,1),(228,1)}
       211:{1,2,5,7}:{(189,1),(192,1),(221,1),(225,1),(229,1)}
       212:{2,3,5,7}:{(189,1),(190,1),(193,1),(222,1),(226,1),(229,1),(230,1),(243,1)}
       213:{1,3,4,7}:{(190,1),(191,1),(196,1),(223,1),(227,1),(230,1)}
       214:{1,3,7}:{(192,1),(193,1),(224,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(195,1),(200,1),(228,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(201,1),(232,1)}
       218:{2,4,6}:{(198,1),(199,1),(202,1),(232,1),(233,1)}
       219:{1,3,5}:{(199,1),(200,1),(231,1),(233,1)}
       220:{1,4,7}:{(201,1),(202,1),(203,1),(232,1)}
       221:{1,2,5}:{(204,1),(206,1),(234,1),(244,1)}
       222:{2,3,5}:{(204,1),(205,1),(207,1),(234,1),(235,1)}
       223:{1,3,4}:{(205,1),(235,1)}
       224:{1,3,6}:{(206,1),(207,1),(214,1),(234,1)}
       225:{1,2,6}:{(208,1),(211,1),(236,1)}
       226:{2,3,6}:{(208,1),(209,1),(212,1),(236,1),(237,1)}
       227:{1,3,4,6}:{(209,1),(210,1),(213,1),(215,1),(237,1),(238,1)}
       228:{1,4,5}:{(210,1),(216,1),(238,1),(240,1)}
       229:{1,3,5,7}:{(211,1),(212,1),(214,1),(234,1),(236,1),(239,1),(244,1)}
       230:{2,4,7}:{(212,1),(213,1),(235,1),(237,1),(239,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(220,1),(240,1)}
       233:{2,5}:{(218,1),(219,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(224,1),(241,1)}
       235:{2,4}:{(222,1),(223,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(229,1),(242,1)}
       237:{2,4,6}:{(226,1),(227,1),(230,1),(242,1),(243,1)}
       238:{1,3,5}:{(227,1),(228,1),(231,1),(243,1)}
       239:{1,4,7}:{(229,1),(230,1),(241,1),(242,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(239,1),(244,1)}
       243:{2,5}:{(237,1),(238,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1484 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1485 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1486 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1487 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1488 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1489 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1490 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1491 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(48,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(31,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(67,1),(105,1),(106,1),(110,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(46,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(133,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(89,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(29,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(118,1),(141,1),(151,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(29,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(30,1),(32,1),(33,1),(62,1),(66,1),(104,1),(110,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(68,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(46,1),(83,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(89,1),(132,1),(160,1),(164,1),(171,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(46,1),(129,1),(138,1),(156,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(46,1),(47,1),(127,1),(134,1)}
        31:{1,3,6,7}:{(17,1),(44,1),(47,1),(48,1),(124,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(46,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(47,1),(50,1),(51,1),(84,1),(89,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(91,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(68,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(31,1),(64,1),(69,1),(105,1)}
        45:{2,4,5}:{(28,1),(32,1),(66,1),(67,1),(110,1),(150,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(69,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(33,1),(64,1),(69,1),(70,1),(113,1)}
        48:{1,2,6,7}:{(31,1),(70,1),(143,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(68,1),(71,1),(104,1),(115,1),(150,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,2,5,6}:{(33,1),(70,1),(72,1),(110,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(112,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(91,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(48,1),(56,1),(82,1),(87,1),(88,1),(92,1),(125,1),(129,1),(133,1),(157,1),(172,1)}
        66:{2,3,5}:{(45,1),(49,1),(89,1),(164,1),(171,1),(173,1)}
        67:{1,4,5}:{(45,1),(50,1),(89,1),(163,1)}
        68:{2,3,4,7}:{(46,1),(49,1),(85,1),(91,1),(134,1),(138,1),(156,1),(162,1)}
        69:{1,4,7}:{(46,1),(47,1),(50,1)}
        70:{1,2,5,7}:{(47,1),(48,1),(51,1),(92,1),(127,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(132,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(134,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(112,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(68,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(69,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(113,1),(144,1),(151,1),(167,1)}
        89:{1,3,5}:{(66,1),(67,1),(71,1),(110,1),(174,1)}
        90:{1,2,4,5}:{(67,1),(72,1),(110,1),(111,1),(150,1)}
        91:{1,3,4,7}:{(68,1),(69,1),(71,1),(107,1),(112,1),(113,1),(151,1),(170,1)}
        92:{1,2,4,7}:{(69,1),(70,1),(72,1),(112,1),(113,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(150,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(134,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,5}:{(89,1),(93,1)}
       111:{1,3,5}:{(90,1),(94,1),(131,1),(132,1)}
       112:{2,4,7}:{(91,1),(93,1),(127,1),(134,1)}
       113:{1,3,7}:{(92,1),(94,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(133,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,5}:{(110,1),(114,1),(149,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(115,1),(149,1),(150,1)}
       132:{1,3,4}:{(111,1),(150,1)}
       133:{1,2,4,7}:{(112,1),(114,1),(146,1),(151,1),(170,1)}
       134:{2,3,7}:{(112,1),(113,1),(115,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(151,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(133,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(134,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(132,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,5}:{(130,1),(131,1),(135,1),(163,1)}
       150:{2,4}:{(131,1),(132,1),(163,1)}
       151:{1,3,7}:{(133,1),(134,1),(135,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(170,1)}
       163:{1,4}:{(149,1),(150,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1492 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1493 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1494 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1495 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1496 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1497 :   0:{2,3,4,5}:{(2,1),(3,1),(39,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(23,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(23,1),(66,1),(74,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(60,1),(108,1)}
         4:{1,2,4}:{(1,1),(11,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(14,1),(42,1)}
         6:{2,3,4}:{(11,1),(15,1)}
         7:{2,4,5}:{(2,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(85,1),(131,1)}
        11:{1,3,4}:{(4,1),(6,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(4,1),(7,1),(23,1),(25,1),(26,1),(59,1),(66,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(69,1)}
        14:{1,2,3,7}:{(5,1),(27,1),(65,1)}
        15:{2,3,5}:{(6,1),(7,1),(23,1),(29,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(72,1),(76,1)}
        17:{2,4,6}:{(7,1),(8,1),(29,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(65,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(108,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(39,1),(42,1)}
        24:{1,3,4,6}:{(11,1),(13,1),(16,1),(40,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        25:{1,2,4,6}:{(12,1),(17,1),(42,1),(45,1),(46,1),(83,1),(90,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(44,1),(47,1)}
        28:{2,3,4,5}:{(15,1),(41,1),(48,1),(51,1)}
        29:{2,3,6}:{(15,1),(17,1),(42,1),(50,1)}
        30:{2,3,5}:{(16,1),(43,1),(51,1)}
        31:{2,3,4,7}:{(16,1),(44,1),(50,1),(52,1),(98,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(50,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(163,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(131,1),(162,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,5}:{(22,1),(23,1),(59,1),(60,1)}
        40:{2,3,4,6}:{(22,1),(24,1),(60,1),(61,1),(62,1),(108,1),(112,1)}
        41:{1,3,4,5}:{(23,1),(28,1),(59,1),(63,1),(66,1),(110,1)}
        42:{1,3,6}:{(23,1),(25,1),(29,1),(60,1),(65,1)}
        43:{1,3,5}:{(24,1),(26,1),(30,1),(61,1),(66,1)}
        44:{1,3,4,7}:{(24,1),(27,1),(31,1),(62,1),(65,1),(67,1),(115,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(32,1),(64,1),(68,1),(69,1),(106,1)}
        46:{1,2,4,7}:{(25,1),(33,1),(65,1),(68,1),(107,1),(115,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(63,1),(70,1),(71,1),(72,1)}
        49:{2,3,5,6}:{(29,1),(30,1),(32,1),(64,1),(72,1),(73,1),(76,1),(77,1),(124,1)}
        50:{2,3,7}:{(29,1),(33,1),(65,1)}
        51:{2,4,5}:{(30,1),(66,1),(72,1),(74,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(67,1),(75,1),(76,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(72,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(39,1),(41,1),(83,1)}
        60:{2,3,6}:{(39,1),(42,1),(83,1),(85,1)}
        61:{2,3,5}:{(40,1),(43,1),(86,1)}
        62:{2,3,4,7}:{(40,1),(44,1),(85,1),(87,1),(131,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,3,5,6}:{(42,1),(43,1),(45,1),(49,1),(84,1),(90,1),(91,1),(93,1),(138,1)}
        65:{1,3,7}:{(42,1),(46,1),(50,1),(85,1)}
        66:{1,4,5}:{(43,1),(51,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(47,1),(52,1),(87,1),(92,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(46,1),(54,1),(91,1),(94,1),(129,1)}
        69:{1,2,6}:{(47,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(50,1),(89,1),(96,1),(98,1)}
        72:{2,4,6}:{(49,1),(51,1),(90,1),(97,1),(98,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(54,1),(91,1),(98,1),(99,1),(102,1),(142,1)}
        74:{3,4,5}:{(51,1),(97,1)}
        75:{2,4,5,7}:{(51,1),(52,1),(92,1),(98,1),(100,1),(101,1),(142,1)}
        76:{2,3,6}:{(52,1),(93,1),(101,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(98,1),(102,1),(103,1),(142,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(162,1)}
        83:{2,4,6}:{(59,1),(60,1),(63,1),(106,1),(107,1)}
        84:{2,3,5,6}:{(60,1),(61,1),(64,1),(106,1),(108,1),(109,1),(112,1),(145,1),(151,1)}
        85:{2,3,7}:{(60,1),(65,1),(107,1)}
        86:{2,4,5}:{(61,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(111,1),(112,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(65,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(66,1),(72,1),(108,1),(115,1)}
        91:{1,3,5,7}:{(64,1),(65,1),(68,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,4,5,7}:{(66,1),(67,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(76,1),(112,1),(117,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(116,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(72,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(74,1),(77,1),(121,1)}
        98:{2,4,7}:{(72,1),(73,1),(115,1),(121,1)}
        99:{2,3,6,7}:{(73,1),(76,1),(79,1),(116,1),(122,1),(125,1)}
       100:{3,4,5,7}:{(74,1),(75,1),(121,1),(123,1),(156,1)}
       101:{2,4,6}:{(75,1),(76,1),(117,1),(123,1),(124,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(85,1),(89,1),(129,1)}
       108:{2,4,6}:{(84,1),(86,1),(90,1),(130,1),(131,1)}
       109:{2,3,5,7}:{(84,1),(85,1),(91,1),(129,1),(131,1),(132,1),(159,1),(162,1)}
       110:{3,4,5}:{(86,1),(130,1)}
       111:{2,4,5,7}:{(86,1),(87,1),(92,1),(131,1),(133,1),(134,1),(162,1)}
       112:{2,3,6}:{(87,1),(93,1),(134,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(91,1),(98,1),(131,1)}
       116:{1,3,6,7}:{(91,1),(93,1),(94,1),(99,1),(132,1),(137,1)}
       117:{1,4,6}:{(92,1),(93,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(143,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(98,1),(135,1),(139,1),(140,1),(142,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(98,1),(102,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(101,1),(137,1),(141,1),(142,1)}
       123:{3,4,6}:{(100,1),(101,1),(143,1)}
       124:{2,5,6}:{(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(142,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(108,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(110,1),(145,1),(148,1)}
       131:{2,4,7}:{(108,1),(109,1),(115,1),(148,1)}
       132:{2,3,6,7}:{(109,1),(112,1),(116,1),(147,1),(149,1),(167,1)}
       133:{3,4,5,7}:{(110,1),(111,1),(148,1),(150,1),(169,1)}
       134:{2,4,6}:{(111,1),(112,1),(117,1),(150,1),(151,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(122,1),(149,1),(153,1)}
       138:{1,5,6}:{(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{2,5,7}:{(122,1),(124,1),(153,1),(156,1)}
       143:{3,5,6}:{(123,1),(124,1),(156,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(131,1),(135,1),(159,1),(160,1),(162,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(131,1),(159,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(134,1),(137,1),(161,1),(162,1)}
       150:{3,4,6}:{(133,1),(134,1),(163,1)}
       151:{2,5,6}:{(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(142,1),(162,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(142,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,5,7}:{(149,1),(151,1),(153,1),(169,1)}
       163:{3,5,6}:{(150,1),(151,1),(169,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(162,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1498 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1499 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1500 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1501 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(21,1),(108,1),(177,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(59,1),(95,1),(115,1),(161,1),(187,1),(227,1),(230,1),(237,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(8,1),(36,1),(37,1),(78,1),(146,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(141,1),(210,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(86,1),(151,1),(257,1),(259,1),(266,1)}
         5:{1,3,4,5,7}:{(1,1),(13,1),(14,1),(31,1),(41,1),(126,1),(131,1),(133,1),(149,1),(156,1),(157,1),(258,1)}
         6:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1),(54,1),(95,1),(96,1),(161,1),(176,1),(179,1)}
         7:{2,4,5,6,7}:{(2,1),(18,1),(20,1),(52,1),(57,1),(114,1)}
         8:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(180,1)}
         9:{3,4,6,7}:{(3,1),(15,1),(21,1)}
        10:{2,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(22,1),(54,1)}
        11:{3,4,5,6}:{(15,1),(25,1),(186,1),(241,1)}
        12:{2,3,5,6}:{(4,1),(16,1),(25,1),(26,1),(241,1),(243,1)}
        13:{1,3,4,6}:{(4,1),(5,1),(26,1),(27,1),(63,1),(121,1),(123,1),(282,1)}
        14:{2,4,5,7}:{(5,1),(27,1),(28,1),(49,1),(102,1),(124,1),(160,1),(183,1)}
        15:{3,4,5,7}:{(9,1),(11,1),(30,1),(195,1),(210,1)}
        16:{2,3,5,7}:{(6,1),(12,1),(30,1),(31,1),(210,1),(213,1)}
        17:{1,3,4,6,7}:{(6,1),(13,1),(31,1),(32,1),(37,1),(71,1),(80,1),(83,1),(126,1),(131,1),(133,1),(212,1)}
        18:{3,5,6,7}:{(7,1),(33,1),(83,1),(147,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(33,1),(35,1),(37,1),(78,1),(80,1),(83,1),(141,1)}
        20:{2,5,6,7}:{(8,1),(35,1),(36,1),(213,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(30,1),(37,1)}
        22:{1,3,5,6,7}:{(10,1),(31,1),(36,1),(37,1),(38,1),(80,1),(83,1)}
        23:{1,3,4,5,6}:{(11,1),(29,1),(39,1),(42,1),(75,1),(88,1),(92,1),(137,1),(155,1),(204,1),(214,1)}
        24:{1,2,4,5,7}:{(14,1),(40,1),(41,1),(70,1),(87,1),(131,1),(152,1),(156,1),(193,1),(196,1),(215,1),(258,1),(297,1)}
        25:{2,4,5,6}:{(11,1),(12,1),(30,1),(42,1),(151,1)}
        26:{1,3,5,6}:{(12,1),(13,1),(31,1),(42,1),(43,1),(92,1),(270,1)}
        27:{2,4,6}:{(13,1),(14,1),(43,1),(44,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(44,1),(45,1),(94,1),(194,1),(216,1)}
        29:{1,3,4,5,7}:{(15,1),(19,1),(23,1),(46,1),(48,1),(51,1),(97,1),(101,1),(106,1),(165,1),(173,1),(180,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(21,1),(25,1),(48,1),(161,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(26,1),(48,1),(49,1),(101,1),(242,1)}
        32:{2,4,6,7}:{(17,1),(27,1),(49,1),(50,1),(102,1),(110,1),(160,1)}
        33:{3,4,6,7}:{(18,1),(51,1),(52,1)}
        34:{2,3,5,6,7}:{(18,1),(20,1),(52,1),(53,1),(54,1),(105,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(46,1),(54,1),(55,1),(110,1)}
        36:{1,5,6,7}:{(20,1),(55,1),(242,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(48,1),(57,1)}
        38:{2,5,6,7}:{(22,1),(49,1),(57,1),(110,1)}
        39:{2,4,5,6}:{(23,1),(46,1),(60,1),(61,1),(119,1),(189,1),(243,1)}
        40:{1,2,4,6}:{(24,1),(27,1),(62,1),(63,1),(118,1),(121,1),(228,1),(282,1),(307,1)}
        41:{1,3,5,7}:{(24,1),(28,1),(59,1),(63,1),(64,1),(122,1),(225,1),(227,1),(244,1)}
        42:{1,4,5,6}:{(25,1),(26,1),(48,1),(65,1),(121,1)}
        43:{2,5,6}:{(26,1),(27,1),(49,1)}
        44:{2,3,6}:{(27,1),(28,1),(63,1)}
        45:{2,3,4,7}:{(28,1),(64,1),(67,1),(102,1),(245,1)}
        46:{2,4,5,7}:{(29,1),(35,1),(39,1),(68,1),(69,1),(129,1),(199,1),(213,1)}
        47:{1,2,4,6,7}:{(32,1),(40,1),(70,1),(71,1),(128,1),(131,1),(143,1),(193,1),(212,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(37,1),(42,1),(72,1),(131,1)}
        49:{2,5,7}:{(31,1),(32,1),(43,1)}
        50:{2,3,6,7}:{(32,1),(44,1),(71,1),(73,1),(83,1),(194,1)}
        51:{3,4,5,7}:{(33,1),(75,1),(76,1),(147,1),(301,1)}
        52:{2,4,6,7}:{(33,1),(34,1),(76,1),(78,1)}
        53:{1,3,5,6,7}:{(34,1),(36,1),(78,1),(79,1),(80,1),(138,1),(141,1)}
        54:{2,3,6,7}:{(35,1),(68,1),(80,1),(83,1),(141,1)}
        55:{1,4,6,7}:{(35,1),(36,1),(69,1),(80,1)}
        56:{1,2,5,6,7}:{(36,1),(38,1),(70,1),(79,1),(81,1),(82,1),(143,1),(197,1),(205,1),(213,1),(270,1),(304,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(72,1),(83,1)}
        58:{2,3,5,6,7}:{(38,1),(73,1),(82,1),(83,1),(84,1),(135,1),(144,1),(147,1),(213,1),(263,1),(304,1),(314,1)}
        59:{2,3,5,7}:{(41,1),(86,1),(87,1),(152,1),(254,1),(271,1),(297,1)}
        60:{2,3,5,6}:{(39,1),(68,1),(85,1),(88,1),(92,1),(204,1)}
        61:{1,4,5,6}:{(39,1),(69,1),(88,1),(220,1),(270,1)}
        62:{1,2,5,6}:{(40,1),(43,1),(70,1),(90,1),(152,1),(197,1),(270,1)}
        63:{1,3,6}:{(40,1),(41,1),(44,1),(86,1),(257,1)}
        64:{1,3,4,7}:{(41,1),(45,1),(87,1),(91,1),(131,1),(195,1),(272,1)}
        65:{2,4,5,6}:{(42,1),(43,1),(72,1),(92,1),(93,1)}
        66:{2,3,5,6}:{(43,1),(44,1),(73,1),(90,1),(92,1),(93,1),(94,1)}
        67:{2,3,4,6}:{(44,1),(45,1),(91,1),(93,1),(94,1)}
        68:{2,3,5,7}:{(46,1),(54,1),(60,1),(95,1),(97,1),(101,1),(173,1)}
        69:{1,4,5,7}:{(46,1),(55,1),(61,1),(97,1),(229,1),(242,1)}
        70:{1,2,5,7}:{(47,1),(49,1),(62,1),(99,1),(162,1),(242,1)}
        71:{1,3,6,7}:{(47,1),(50,1),(63,1),(96,1),(99,1),(225,1)}
        72:{2,4,5,7}:{(48,1),(49,1),(57,1),(65,1),(101,1),(102,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(66,1),(99,1),(101,1),(102,1)}
        74:{2,3,4,6,7}:{(50,1),(67,1),(100,1),(102,1),(103,1),(113,1),(169,1),(179,1),(226,1),(281,1)}
        75:{3,4,5,6}:{(51,1),(104,1),(182,1),(308,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(104,1),(105,1),(106,1),(286,1)}
        77:{2,3,4,6,7}:{(52,1),(54,1),(95,1),(105,1),(107,1),(113,1),(158,1),(179,1),(238,1),(286,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(106,1),(108,1)}
        79:{2,5,6,7}:{(53,1),(108,1),(110,1),(172,1)}
        80:{1,3,6,7}:{(54,1),(55,1),(97,1),(110,1)}
        81:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(98,1),(108,1),(110,1),(111,1),(112,1),(179,1),(228,1),(282,1),(307,1),(311,1)}
        82:{1,3,5,6,7}:{(56,1),(58,1),(99,1),(109,1),(111,1),(112,1),(167,1),(178,1),(180,1),(235,1),(242,1),(290,1)}
        83:{3,6,7}:{(57,1),(101,1)}
        84:{2,4,6,7}:{(58,1),(102,1),(112,1),(113,1),(114,1),(169,1),(286,1),(311,1)}
        85:{2,3,4,6}:{(60,1),(95,1),(115,1),(116,1),(123,1),(189,1),(234,1),(246,1)}
        86:{2,3,6}:{(59,1),(63,1),(118,1),(307,1)}
        87:{2,4,7}:{(59,1),(64,1),(118,1),(291,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(97,1),(116,1),(119,1)}
        89:{1,2,4,5,6}:{(61,1),(62,1),(65,1),(98,1),(119,1),(120,1),(121,1),(171,1),(181,1),(184,1),(187,1),(189,1),(228,1),(232,1),(243,1),(249,1),(282,1),(284,1),(292,1),(307,1),(309,1),(311,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(66,1),(99,1),(117,1),(121,1),(122,1)}
        91:{1,3,4,6}:{(63,1),(64,1),(67,1),(118,1),(121,1),(122,1),(186,1)}
        92:{3,5,6}:{(65,1),(101,1),(123,1)}
        93:{2,4,6}:{(66,1),(102,1),(121,1),(123,1),(124,1)}
        94:{2,3,5}:{(67,1),(122,1),(124,1)}
        95:{2,3,4,7}:{(68,1),(85,1),(126,1),(133,1),(199,1),(207,1),(254,1)}
        96:{2,3,6,7}:{(71,1),(86,1),(127,1),(128,1),(254,1),(257,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(80,1),(88,1),(126,1),(129,1)}
        98:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(81,1),(89,1),(129,1),(130,1),(131,1),(139,1),(146,1),(193,1),(196,1),(199,1),(205,1),(213,1),(258,1),(264,1),(297,1),(302,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(90,1),(127,1),(131,1)}
       100:{1,3,4,6,7}:{(71,1),(74,1),(91,1),(128,1),(131,1),(132,1),(195,1),(201,1),(212,1),(255,1),(257,1),(298,1)}
       101:{3,5,7}:{(72,1),(83,1),(92,1),(133,1)}
       102:{2,4,7}:{(73,1),(93,1),(131,1),(133,1)}
       103:{2,3,5,7}:{(74,1),(94,1),(132,1),(134,1),(135,1),(147,1),(213,1)}
       104:{2,4,5,6}:{(75,1),(76,1),(136,1),(137,1),(299,1)}
       105:{2,3,5,7}:{(76,1),(77,1),(136,1),(138,1),(147,1),(213,1)}
       106:{1,4,5,7}:{(76,1),(78,1),(137,1),(138,1),(139,1),(264,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(126,1),(138,1),(140,1),(141,1),(191,1),(207,1),(208,1),(212,1),(264,1)}
       108:{2,4,6,7}:{(78,1),(79,1),(139,1),(141,1)}
       109:{2,3,5,6,7}:{(79,1),(82,1),(127,1),(141,1),(142,1),(144,1),(197,1),(206,1),(210,1),(213,1),(257,1),(269,1)}
       110:{2,6,7}:{(80,1),(129,1)}
       111:{1,3,6,7}:{(81,1),(83,1),(130,1),(141,1),(144,1),(257,1),(298,1),(314,1)}
       112:{1,4,6,7}:{(82,1),(84,1),(131,1),(142,1),(146,1),(201,1),(264,1),(303,1)}
       113:{3,4,6,7}:{(83,1),(84,1),(133,1),(147,1),(202,1),(301,1),(314,1)}
       114:{2,4,5,7}:{(84,1),(146,1),(147,1),(148,1),(213,1)}
       115:{2,3,4,5}:{(85,1),(149,1),(157,1),(221,1),(262,1),(271,1)}
       116:{1,3,4,6}:{(85,1),(88,1),(126,1),(149,1),(150,1),(217,1),(220,1)}
       117:{2,3,5,6}:{(86,1),(90,1),(127,1),(151,1),(152,1),(197,1),(219,1),(257,1)}
       118:{2,4,6}:{(86,1),(87,1),(91,1),(152,1)}
       119:{2,5,6}:{(88,1),(129,1),(150,1)}
       120:{1,3,5,6}:{(89,1),(92,1),(130,1),(154,1),(155,1),(204,1),(217,1),(219,1),(257,1),(274,1),(298,1),(313,1),(314,1)}
       121:{1,4,6}:{(90,1),(93,1),(131,1),(151,1),(156,1)}
       122:{1,3,5}:{(91,1),(94,1),(152,1),(156,1),(219,1)}
       123:{3,4,6}:{(92,1),(93,1),(133,1),(157,1)}
       124:{2,4,5}:{(93,1),(94,1),(156,1),(157,1)}
       125:{2,3,4,5,7}:{(95,1),(105,1),(115,1),(158,1),(159,1),(168,1),(230,1),(277,1),(286,1),(309,1),(310,1)}
       126:{1,3,4,7}:{(95,1),(97,1),(116,1),(160,1),(225,1),(229,1)}
       127:{2,3,5,7}:{(96,1),(99,1),(117,1),(161,1),(162,1),(227,1)}
       128:{2,4,6,7}:{(96,1),(100,1),(118,1),(161,1),(162,1),(228,1),(279,1),(307,1)}
       129:{2,5,7}:{(97,1),(110,1),(119,1),(160,1)}
       130:{1,3,5,7}:{(98,1),(101,1),(111,1),(120,1),(164,1),(165,1),(173,1),(225,1),(227,1),(310,1)}
       131:{1,4,7}:{(99,1),(102,1),(121,1),(161,1)}
       132:{1,3,5,7}:{(100,1),(103,1),(122,1),(162,1),(166,1),(167,1),(227,1),(242,1)}
       133:{3,4,7}:{(101,1),(102,1),(123,1)}
       134:{2,4,5,7}:{(102,1),(103,1),(124,1),(166,1),(168,1),(169,1)}
       135:{2,3,5,6}:{(103,1),(167,1),(169,1),(182,1),(243,1),(281,1)}
       136:{2,3,5,6}:{(104,1),(105,1),(158,1),(170,1),(182,1),(243,1)}
       137:{1,4,5,6}:{(104,1),(106,1),(170,1),(171,1),(284,1)}
       138:{1,3,5,7}:{(105,1),(106,1),(107,1),(170,1),(172,1),(173,1),(242,1)}
       139:{2,4,5,7}:{(106,1),(108,1),(171,1),(172,1),(173,1),(236,1)}
       140:{2,4,6,7}:{(107,1),(110,1),(160,1),(172,1),(175,1),(222,1),(236,1)}
       141:{3,6,7}:{(108,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(112,1),(161,1),(176,1),(177,1),(228,1),(236,1),(288,1)}
       143:{1,2,6,7}:{(110,1),(163,1),(178,1),(307,1)}
       144:{2,3,6,7}:{(110,1),(111,1),(164,1),(178,1),(179,1),(281,1),(307,1)}
       145:{1,3,4,6,7}:{(111,1),(112,1),(113,1),(165,1),(176,1),(179,1),(180,1),(231,1)}
       146:{1,4,5,7}:{(112,1),(114,1),(177,1),(180,1),(181,1),(242,1)}
       147:{3,5,7}:{(113,1),(114,1),(182,1)}
       148:{2,4,5,6}:{(114,1),(169,1),(181,1),(182,1),(243,1),(311,1)}
       149:{1,3,4,5}:{(115,1),(116,1),(183,1),(244,1),(249,1)}
       150:{2,4,6}:{(116,1),(119,1),(160,1),(183,1),(185,1)}
       151:{2,4,6}:{(117,1),(121,1),(161,1),(186,1),(187,1)}
       152:{2,5}:{(118,1),(122,1)}
       153:{1,2,5,6}:{(119,1),(163,1),(184,1),(188,1),(292,1),(307,1)}
       154:{2,3,5,6}:{(119,1),(120,1),(164,1),(185,1),(188,1),(189,1),(243,1),(246,1),(248,1),(281,1),(292,1),(307,1)}
       155:{1,3,4,6}:{(120,1),(121,1),(123,1),(165,1),(186,1),(189,1),(190,1),(234,1),(284,1),(308,1)}
       156:{1,4,5}:{(121,1),(122,1),(124,1),(187,1)}
       157:{3,4,5}:{(123,1),(124,1)}
       158:{2,3,4,6}:{(125,1),(136,1),(191,1),(202,1),(259,1),(293,1),(299,1),(314,1)}
       159:{1,3,4,5,7}:{(125,1),(126,1),(138,1),(149,1),(191,1),(192,1),(207,1),(252,1),(258,1),(262,1),(264,1),(300,1)}
       160:{2,4,7}:{(126,1),(129,1),(150,1),(194,1)}
       161:{2,4,7}:{(127,1),(131,1),(151,1),(195,1)}
       162:{2,5,7}:{(128,1),(132,1),(152,1),(197,1)}
       163:{1,2,5,7}:{(129,1),(143,1),(153,1),(193,1),(198,1),(297,1)}
       164:{2,3,5,7}:{(129,1),(130,1),(144,1),(154,1),(194,1),(198,1),(199,1),(213,1),(254,1),(297,1)}
       165:{1,3,4,7}:{(130,1),(131,1),(133,1),(155,1),(195,1),(199,1),(207,1),(264,1),(301,1)}
       166:{1,4,5,7}:{(131,1),(132,1),(134,1),(156,1),(196,1),(201,1)}
       167:{1,3,5,6}:{(132,1),(135,1),(197,1),(201,1),(257,1),(270,1),(298,1)}
       168:{3,4,5,7}:{(133,1),(134,1),(147,1),(157,1),(202,1)}
       169:{2,4,6}:{(134,1),(135,1),(201,1),(202,1)}
       170:{1,3,5,6}:{(136,1),(137,1),(138,1),(191,1),(203,1),(204,1),(270,1)}
       171:{2,4,5,6}:{(137,1),(139,1),(203,1),(204,1),(261,1)}
       172:{2,5,7}:{(138,1),(140,1),(203,1)}
       173:{3,5,7}:{(139,1),(141,1),(204,1),(207,1)}
       174:{1,2,4,6,7}:{(140,1),(143,1),(193,1),(205,1),(208,1),(212,1),(250,1),(264,1),(267,1)}
       175:{2,3,6,7}:{(140,1),(141,1),(194,1),(206,1),(208,1),(251,1)}
       176:{3,4,6,7}:{(141,1),(142,1),(195,1),(207,1),(210,1),(257,1),(266,1)}
       177:{2,4,5,7}:{(142,1),(146,1),(210,1),(211,1),(213,1)}
       178:{1,3,6,7}:{(143,1),(144,1),(198,1),(212,1),(298,1)}
       179:{2,4,6,7}:{(144,1),(145,1),(199,1),(212,1),(213,1),(259,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(147,1),(210,1),(213,1),(214,1)}
       181:{1,4,5,6}:{(146,1),(148,1),(201,1),(211,1),(214,1),(270,1),(303,1)}
       182:{3,5,6}:{(147,1),(148,1),(202,1),(314,1)}
       183:{2,4,5}:{(149,1),(150,1),(216,1)}
       184:{1,2,4,6}:{(150,1),(153,1),(193,1),(215,1),(217,1),(220,1),(273,1)}
       185:{2,3,6}:{(150,1),(194,1),(216,1),(217,1)}
       186:{3,4,6}:{(151,1),(195,1),(219,1),(257,1)}
       187:{2,4,5}:{(151,1),(152,1),(156,1),(219,1)}
       188:{1,3,5,6}:{(153,1),(154,1),(198,1),(217,1),(220,1),(270,1),(274,1),(298,1)}
       189:{2,4,6}:{(154,1),(155,1),(199,1),(220,1),(221,1)}
       190:{1,3,4,5}:{(155,1),(156,1),(157,1),(219,1),(221,1),(262,1),(274,1),(300,1),(313,1)}
       191:{1,3,4,6}:{(158,1),(159,1),(170,1),(222,1),(234,1),(275,1),(282,1),(284,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(172,1),(183,1),(222,1),(224,1),(236,1),(285,1)}
       193:{1,2,4,7}:{(160,1),(163,1),(184,1),(225,1),(229,1),(279,1)}
       194:{2,3,7}:{(160,1),(185,1),(225,1)}
       195:{3,4,7}:{(161,1),(186,1),(227,1)}
       196:{2,4,5,7}:{(161,1),(162,1),(166,1),(187,1),(227,1),(228,1)}
       197:{2,5,6}:{(162,1),(167,1),(228,1),(307,1)}
       198:{1,3,5,7}:{(163,1),(164,1),(178,1),(188,1),(225,1),(229,1),(242,1)}
       199:{2,4,7}:{(164,1),(165,1),(189,1),(229,1)}
       200:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(190,1),(227,1),(230,1),(231,1),(237,1),(280,1),(287,1),(310,1)}
       201:{1,4,6}:{(166,1),(167,1),(169,1),(228,1)}
       202:{3,4,6}:{(168,1),(169,1),(182,1)}
       203:{2,5,6}:{(170,1),(172,1),(222,1)}
       204:{3,5,6}:{(171,1),(173,1),(234,1)}
       205:{1,2,5,7}:{(172,1),(174,1),(232,1),(235,1),(242,1),(289,1)}
       206:{2,3,5,7}:{(172,1),(173,1),(175,1),(233,1),(235,1),(236,1)}
       207:{3,4,7}:{(173,1),(234,1),(236,1)}
       208:{1,3,6,7}:{(174,1),(175,1),(225,1),(235,1),(238,1),(275,1)}
       209:{2,3,4,6,7}:{(175,1),(176,1),(179,1),(226,1),(236,1),(239,1),(240,1),(276,1),(281,1),(288,1)}
       210:{3,5,7}:{(176,1),(177,1),(241,1)}
       211:{2,4,5,6}:{(177,1),(181,1),(228,1),(241,1),(243,1),(288,1)}
       212:{1,4,6,7}:{(178,1),(179,1),(229,1),(242,1),(282,1)}
       213:{2,5,7}:{(179,1),(180,1),(242,1),(243,1)}
       214:{1,3,5,6}:{(180,1),(181,1),(182,1),(231,1),(241,1),(243,1)}
       215:{1,2,4,5}:{(183,1),(184,1),(244,1),(249,1),(291,1),(292,1)}
       216:{2,3,5}:{(183,1),(185,1),(244,1),(245,1)}
       217:{1,3,6}:{(184,1),(185,1),(225,1),(244,1),(246,1)}
       218:{2,3,4,6}:{(185,1),(186,1),(189,1),(226,1),(245,1),(247,1),(248,1),(281,1),(308,1)}
       219:{3,5}:{(186,1),(187,1)}
       220:{1,4,6}:{(188,1),(189,1),(229,1),(249,1)}
       221:{2,4,5}:{(189,1),(190,1),(248,1),(249,1),(292,1)}
       222:{2,4,6}:{(191,1),(192,1),(203,1),(251,1)}
       223:{1,2,4,5,7}:{(192,1),(193,1),(205,1),(215,1),(250,1),(252,1),(258,1),(264,1),(296,1),(297,1),(300,1),(302,1),(312,1)}
       224:{2,3,5,7}:{(192,1),(194,1),(216,1),(251,1),(252,1),(253,1),(295,1)}
       225:{1,3,7}:{(193,1),(194,1),(217,1),(254,1)}
       226:{2,3,4,7}:{(194,1),(195,1),(199,1),(218,1),(255,1),(256,1),(301,1)}
       227:{3,5,7}:{(195,1),(196,1),(219,1),(257,1)}
       228:{2,4,6}:{(196,1),(197,1),(201,1),(257,1)}
       229:{1,4,7}:{(198,1),(199,1),(220,1)}
       230:{2,4,5,7}:{(199,1),(200,1),(213,1),(221,1),(256,1),(258,1),(259,1),(297,1)}
       231:{1,3,4,6}:{(200,1),(201,1),(202,1),(214,1),(257,1),(259,1),(266,1),(298,1),(303,1),(314,1)}
       232:{1,2,5,6}:{(203,1),(205,1),(250,1),(260,1),(270,1),(304,1),(312,1)}
       233:{2,3,5,6}:{(203,1),(204,1),(206,1),(251,1),(260,1),(261,1),(295,1)}
       234:{3,4,6}:{(204,1),(207,1),(261,1),(262,1)}
       235:{1,3,5,7}:{(205,1),(206,1),(208,1),(260,1),(263,1),(264,1)}
       236:{2,4,7}:{(206,1),(207,1),(261,1),(264,1)}
       237:{3,4,5,7}:{(207,1),(210,1),(262,1),(265,1),(266,1)}
       238:{2,3,6,7}:{(208,1),(254,1),(263,1),(267,1),(293,1),(314,1)}
       239:{1,3,4,6,7}:{(208,1),(209,1),(212,1),(255,1),(264,1),(267,1),(268,1),(294,1),(298,1),(301,1),(303,1),(314,1)}
       240:{2,3,5,7}:{(209,1),(210,1),(213,1),(265,1),(268,1),(269,1),(295,1)}
       241:{3,5,6}:{(210,1),(211,1),(257,1),(266,1)}
       242:{1,5,7}:{(212,1),(213,1),(270,1)}
       243:{2,5,6}:{(213,1),(214,1),(259,1),(270,1)}
       244:{1,3,5}:{(215,1),(216,1),(217,1),(271,1),(272,1)}
       245:{2,3,4}:{(216,1),(272,1)}
       246:{2,3,6}:{(217,1),(254,1),(271,1),(273,1)}
       247:{1,3,4,6}:{(217,1),(218,1),(220,1),(255,1),(272,1),(273,1),(274,1),(298,1)}
       248:{2,3,5}:{(218,1),(219,1),(221,1),(274,1),(313,1)}
       249:{1,4,5}:{(220,1),(221,1),(274,1)}
       250:{1,2,4,6}:{(222,1),(223,1),(232,1),(275,1),(282,1),(284,1),(305,1),(307,1),(311,1)}
       251:{2,3,6}:{(222,1),(224,1),(275,1)}
       252:{1,3,5,7}:{(223,1),(224,1),(225,1),(244,1),(275,1),(277,1),(278,1),(306,1),(310,1)}
       253:{2,3,4,7}:{(224,1),(236,1),(245,1),(276,1),(278,1)}
       254:{2,3,7}:{(225,1),(246,1),(279,1)}
       255:{1,3,4,7}:{(225,1),(226,1),(229,1),(247,1),(279,1),(280,1)}
       256:{2,3,5,7}:{(226,1),(227,1),(230,1),(248,1),(280,1),(281,1),(310,1)}
       257:{3,6}:{(227,1),(228,1)}
       258:{1,4,5,7}:{(229,1),(230,1),(242,1),(249,1),(280,1),(282,1)}
       259:{2,4,6}:{(230,1),(231,1),(243,1),(281,1),(282,1),(307,1)}
       260:{1,3,5,6}:{(232,1),(233,1),(235,1),(275,1),(283,1),(284,1),(306,1)}
       261:{2,4,6}:{(233,1),(234,1),(236,1),(284,1),(285,1)}
       262:{3,4,5}:{(234,1),(285,1)}
       263:{2,3,5,7}:{(235,1),(238,1),(283,1),(286,1),(289,1),(310,1)}
       264:{1,4,7}:{(235,1),(236,1),(284,1),(286,1)}
       265:{2,4,5,7}:{(236,1),(237,1),(240,1),(285,1),(287,1),(288,1)}
       266:{3,4,6}:{(237,1),(241,1),(288,1)}
       267:{2,4,6,7}:{(238,1),(239,1),(279,1),(286,1),(289,1),(305,1),(307,1),(311,1)}
       268:{1,3,5,7}:{(239,1),(240,1),(242,1),(287,1),(289,1),(290,1),(306,1),(310,1)}
       269:{2,3,5,6}:{(240,1),(241,1),(243,1),(281,1),(288,1),(290,1)}
       270:{1,5,6}:{(242,1),(243,1),(282,1)}
       271:{2,3,5}:{(244,1),(246,1),(291,1),(292,1)}
       272:{1,3,4}:{(244,1),(245,1),(291,1)}
       273:{2,4,6}:{(246,1),(247,1),(279,1),(291,1),(292,1),(307,1)}
       274:{1,3,5}:{(247,1),(248,1),(249,1),(292,1)}
       275:{1,3,6}:{(250,1),(251,1),(252,1),(293,1),(314,1)}
       276:{2,3,4,6}:{(251,1),(253,1),(261,1),(294,1),(295,1)}
       277:{2,3,5,7}:{(252,1),(254,1),(271,1),(293,1),(296,1),(297,1),(312,1)}
       278:{1,3,4,7}:{(252,1),(253,1),(264,1),(272,1),(294,1),(296,1),(301,1)}
       279:{2,4,7}:{(254,1),(255,1),(273,1),(297,1)}
       280:{1,3,5,7}:{(255,1),(256,1),(258,1),(274,1),(297,1),(298,1)}
       281:{2,3,6}:{(256,1),(257,1),(259,1),(298,1),(314,1)}
       282:{1,4,6}:{(258,1),(259,1),(270,1),(298,1)}
       283:{2,3,5,6}:{(260,1),(263,1),(293,1),(299,1),(304,1),(312,1),(313,1),(314,1)}
       284:{1,4,6}:{(260,1),(261,1),(264,1),(299,1),(300,1)}
       285:{2,4,5}:{(261,1),(262,1),(295,1),(300,1)}
       286:{2,4,7}:{(263,1),(264,1),(299,1),(301,1)}
       287:{1,4,5,7}:{(264,1),(265,1),(268,1),(300,1),(302,1),(303,1)}
       288:{2,4,6}:{(265,1),(266,1),(269,1),(303,1)}
       289:{2,5,7}:{(267,1),(268,1),(304,1),(312,1)}
       290:{1,3,5,6}:{(268,1),(269,1),(270,1),(298,1),(303,1),(304,1),(314,1)}
       291:{2,4}:{(271,1),(272,1)}
       292:{2,5}:{(273,1),(274,1)}
       293:{2,3,6}:{(275,1),(277,1),(305,1),(307,1)}
       294:{1,3,4,6}:{(275,1),(276,1),(278,1),(284,1),(305,1),(306,1),(308,1)}
       295:{2,3,5}:{(276,1),(285,1),(306,1)}
       296:{2,4,7}:{(277,1),(278,1),(291,1),(305,1)}
       297:{2,5,7}:{(279,1),(280,1),(292,1),(307,1)}
       298:{1,3,6}:{(280,1),(281,1),(282,1),(307,1)}
       299:{2,4,6}:{(283,1),(284,1),(286,1),(308,1),(309,1)}
       300:{1,4,5}:{(284,1),(285,1),(306,1),(309,1)}
       301:{3,4,7}:{(286,1),(308,1),(310,1)}
       302:{2,4,5,7}:{(286,1),(287,1),(289,1),(309,1),(310,1),(311,1)}
       303:{1,4,6}:{(287,1),(288,1),(290,1),(311,1)}
       304:{2,5,6}:{(289,1),(290,1),(307,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(296,1),(312,1)}
       306:{1,3,5}:{(294,1),(295,1),(300,1),(312,1),(313,1)}
       307:{2,6}:{(297,1),(298,1)}
       308:{3,4,6}:{(299,1),(301,1),(313,1),(314,1)}
       309:{2,4,5}:{(299,1),(300,1),(312,1),(313,1)}
       310:{3,5,7}:{(301,1),(302,1),(313,1),(314,1)}
       311:{2,4,6}:{(302,1),(303,1),(304,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

1502 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1503 :  0:{2,3,4}:{(2,1),(3,1),(23,1),(50,1)}
        1:{3,4,5}:{(6,1),(7,1),(61,1),(82,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
        3:{1,3,4}:{(0,1),(9,1),(10,1),(12,1),(27,1),(39,1),(55,1),(61,1)}
        4:{1,2,4}:{(10,1),(11,1),(12,1),(39,1)}
        5:{4,5,6}:{(15,1),(16,1),(88,1),(96,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1),(19,1),(50,1),(74,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1)}
        9:{1,3,5}:{(2,1),(3,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,4}:{(3,1),(22,1),(23,1)}
       11:{1,2,5}:{(4,1),(22,1),(24,1),(25,1)}
       12:{1,3}:{(4,1),(23,1)}
       13:{1,2,4}:{(10,1),(26,1),(27,1),(55,1)}
       14:{5,6,7}:{(28,1),(97,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1)}
       16:{3,5,6}:{(5,1),(6,1),(29,1),(30,1),(82,1),(94,1)}
       17:{3,4,7}:{(6,1),(29,1),(31,1)}
       18:{2,4,6}:{(6,1),(7,1),(8,1),(30,1),(31,1),(32,1)}
       19:{1,4,5}:{(7,1),(9,1),(32,1),(33,1),(39,1),(55,1),(65,1),(77,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1)}
       21:{1,3,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,5}:{(9,1),(10,1),(35,1)}
       23:{2,3}:{(10,1),(12,1),(27,1)}
       24:{1,2,6}:{(11,1),(35,1),(37,1),(38,1)}
       25:{1,3,5}:{(11,1),(12,1),(36,1),(38,1),(39,1),(65,1)}
       26:{1,2,5}:{(13,1),(22,1),(40,1),(41,1)}
       27:{1,3}:{(13,1),(23,1)}
       28:{4,6,7}:{(14,1),(15,1),(42,1),(96,1)}
       29:{3,5,7}:{(15,1),(16,1),(17,1),(42,1),(43,1)}
       30:{2,5,6}:{(16,1),(18,1),(43,1),(44,1),(74,1),(90,1)}
       31:{2,4,7}:{(17,1),(18,1),(20,1),(43,1),(45,1)}
       32:{1,4,6}:{(18,1),(19,1),(21,1),(44,1),(45,1),(46,1)}
       33:{2,4,5}:{(19,1),(22,1),(46,1),(47,1),(50,1),(74,1),(88,1)}
       34:{1,3,7}:{(20,1),(21,1),(45,1),(48,1),(71,1)}
       35:{2,6}:{(21,1),(22,1),(48,1)}
       36:{2,3,5}:{(22,1),(23,1),(25,1),(41,1),(47,1),(49,1),(50,1),(74,1)}
       37:{1,2,7}:{(24,1),(48,1),(51,1)}
       38:{1,3,6}:{(24,1),(25,1),(49,1),(51,1),(52,1)}
       39:{1,4}:{(25,1),(50,1)}
       40:{1,2,6}:{(26,1),(35,1),(53,1),(54,1)}
       41:{1,3,5}:{(26,1),(27,1),(36,1),(54,1),(55,1),(77,1)}
       42:{3,6,7}:{(28,1),(29,1),(56,1),(94,1)}
       43:{2,5,7}:{(29,1),(30,1),(31,1),(56,1),(57,1)}
       44:{1,5,6}:{(30,1),(32,1),(57,1),(58,1),(65,1),(77,1),(84,1),(91,1)}
       45:{1,4,7}:{(31,1),(32,1),(34,1),(57,1),(59,1)}
       46:{2,4,6}:{(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(80,1)}
       47:{3,5}:{(33,1),(60,1),(61,1)}
       48:{2,7}:{(34,1),(35,1)}
       49:{2,3,6}:{(35,1),(36,1),(38,1),(54,1),(60,1),(62,1),(63,1)}
       50:{2,4}:{(36,1),(39,1),(55,1),(61,1)}
       51:{1,3,7}:{(37,1),(38,1),(62,1),(64,1)}
       52:{1,4,6}:{(38,1),(39,1),(63,1),(64,1),(65,1),(84,1)}
       53:{1,2,7}:{(40,1),(48,1),(66,1)}
       54:{1,3,6}:{(40,1),(41,1),(49,1),(66,1),(67,1)}
       55:{1,4}:{(41,1),(50,1)}
       56:{2,6,7}:{(42,1),(43,1),(68,1),(90,1)}
       57:{1,5,7}:{(43,1),(44,1),(45,1),(68,1),(69,1)}
       58:{2,5,6}:{(44,1),(46,1),(69,1),(70,1),(74,1),(90,1)}
       59:{2,4,7}:{(45,1),(46,1),(48,1),(69,1),(71,1),(87,1)}
       60:{3,6}:{(46,1),(47,1),(71,1)}
       61:{3,4}:{(47,1),(50,1)}
       62:{2,3,7}:{(48,1),(49,1),(51,1),(66,1),(71,1),(73,1)}
       63:{2,4,6}:{(49,1),(50,1),(52,1),(67,1),(72,1),(73,1),(74,1),(90,1)}
       64:{1,4,7}:{(51,1),(52,1),(73,1),(75,1)}
       65:{1,5}:{(52,1),(74,1)}
       66:{1,3,7}:{(53,1),(54,1),(62,1),(76,1)}
       67:{1,4,6}:{(54,1),(55,1),(63,1),(76,1),(77,1),(91,1)}
       68:{1,6,7}:{(56,1),(57,1),(78,1),(84,1),(91,1)}
       69:{2,5,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       70:{3,5,6}:{(58,1),(60,1),(79,1),(80,1),(82,1),(94,1),(97,1)}
       71:{3,7}:{(59,1),(60,1)}
       72:{3,4,6}:{(60,1),(61,1),(63,1),(80,1),(81,1),(82,1),(94,1)}
       73:{2,4,7}:{(62,1),(63,1),(64,1),(76,1),(81,1),(83,1)}
       74:{2,5}:{(63,1),(65,1),(77,1),(82,1)}
       75:{1,5,7}:{(64,1),(65,1),(83,1),(84,1)}
       76:{1,4,7}:{(66,1),(67,1),(73,1),(85,1)}
       77:{1,5}:{(67,1),(74,1)}
       78:{2,6,7}:{(68,1),(69,1),(86,1),(90,1)}
       79:{3,5,7}:{(69,1),(70,1),(71,1),(86,1),(87,1),(95,1)}
       80:{4,6}:{(70,1),(87,1),(88,1)}
       81:{3,4,7}:{(71,1),(72,1),(73,1),(87,1),(89,1)}
       82:{3,5}:{(72,1),(74,1),(88,1)}
       83:{2,5,7}:{(73,1),(74,1),(75,1),(85,1),(89,1),(90,1)}
       84:{1,6}:{(75,1),(90,1)}
       85:{1,5,7}:{(76,1),(77,1),(83,1),(91,1)}
       86:{3,6,7}:{(78,1),(79,1),(92,1),(94,1)}
       87:{4,7}:{(79,1),(80,1)}
       88:{4,5}:{(80,1),(82,1)}
       89:{3,5,7}:{(81,1),(82,1),(83,1),(93,1),(94,1)}
       90:{2,6}:{(83,1),(84,1),(91,1),(94,1)}
       91:{1,6}:{(85,1),(90,1)}
       92:{4,6,7}:{(86,1),(87,1),(95,1),(96,1)}
       93:{4,5,7}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,6}:{(89,1),(90,1),(96,1)}
       95:{5,7}:{(92,1),(97,1)}
       96:{4,6}:{(93,1),(94,1),(97,1)}
       97:{5,6}:{(95,1),(96,1)}

1504 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1505 :   0:{1,3,4,5,6}:{(1,1),(2,1),(12,1),(46,1),(48,1),(106,1),(165,1),(173,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(54,1),(70,1),(115,1),(131,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(25,1),(67,1),(196,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(173,1)}
         4:{1,4,5,6,7}:{(10,1),(13,1),(89,1),(93,1),(164,1)}
         5:{1,3,4,6,7}:{(1,1),(13,1),(14,1),(38,1),(40,1),(93,1),(160,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(41,1),(96,1),(162,1)}
         7:{1,4,5,6}:{(2,1),(12,1),(15,1),(92,1),(224,1)}
         8:{2,3,4,5}:{(9,1),(18,1),(97,1),(101,1),(235,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(19,1),(20,1),(67,1),(110,1),(206,1)}
        10:{2,4,5,6,7}:{(4,1),(21,1),(22,1),(26,1),(60,1),(63,1),(126,1),(195,1)}
        11:{2,3,5,7}:{(3,1),(6,1),(19,1),(23,1),(24,1),(185,1)}
        12:{1,3,5,6}:{(3,1),(7,1),(20,1),(24,1),(25,1)}
        13:{1,3,5,6,7}:{(4,1),(5,1),(22,1),(26,1),(131,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(65,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(24,1),(27,1),(124,1),(192,1)}
        16:{1,2,4,5,6}:{(7,1),(25,1),(28,1),(29,1),(53,1),(67,1),(125,1),(137,1),(140,1),(179,1),(193,1),(196,1),(197,1),(204,1),(239,1),(256,1),(283,1)}
        17:{2,3,4,5,7}:{(8,1),(19,1),(30,1),(31,1),(55,1),(129,1),(133,1),(176,1),(198,1),(237,1),(245,1),(256,1),(282,1),(285,1)}
        18:{1,3,4,5}:{(8,1),(20,1),(32,1),(74,1),(125,1)}
        19:{2,3,4,7}:{(9,1),(11,1),(34,1),(96,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(18,1),(34,1),(35,1),(82,1),(92,1)}
        21:{1,4,5,6,7}:{(10,1),(36,1),(43,1),(93,1),(223,1)}
        22:{3,5,6,7}:{(10,1),(38,1),(160,1),(225,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(40,1),(160,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(34,1),(40,1),(41,1)}
        25:{2,5,6}:{(12,1),(35,1),(41,1)}
        26:{2,5,6,7}:{(13,1),(14,1),(43,1),(162,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(40,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(41,1),(44,1),(45,1),(81,1),(96,1),(147,1),(151,1),(159,1),(162,1),(164,1),(211,1),(214,1),(263,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(82,1),(150,1),(173,1),(216,1),(277,1),(298,1)}
        30:{2,3,4,6}:{(17,1),(49,1),(50,1),(163,1),(167,1),(229,1),(269,1),(298,1),(300,1)}
        31:{1,3,4,5,7}:{(17,1),(18,1),(34,1),(50,1),(51,1),(84,1),(104,1),(159,1),(208,1),(214,1),(217,1),(227,1),(234,1),(235,1),(299,1)}
        32:{2,4,5}:{(18,1),(35,1),(52,1)}
        33:{2,3,4,6,7}:{(19,1),(23,1),(30,1),(55,1),(56,1),(63,1),(120,1),(128,1),(176,1),(177,1),(194,1),(237,1),(248,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(24,1),(57,1),(113,1),(124,1)}
        35:{2,4,6}:{(20,1),(25,1),(32,1),(57,1),(58,1)}
        36:{1,3,5,6,7}:{(21,1),(22,1),(59,1),(60,1),(249,1)}
        37:{1,2,5,6}:{(25,1),(53,1),(61,1),(62,1),(179,1),(239,1)}
        38:{3,4,6,7}:{(22,1),(54,1),(63,1)}
        39:{2,3,5,6,7}:{(22,1),(23,1),(26,1),(55,1),(60,1),(63,1),(64,1),(120,1)}
        40:{1,3,6,7}:{(23,1),(24,1),(27,1),(65,1)}
        41:{2,5,7}:{(24,1),(25,1),(57,1),(65,1)}
        42:{2,3,5,6}:{(25,1),(29,1),(58,1),(62,1),(66,1),(67,1),(110,1),(119,1),(179,1),(188,1),(196,1),(239,1)}
        43:{1,5,6,7}:{(26,1),(27,1),(192,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(65,1),(68,1),(69,1),(126,1),(128,1),(130,1),(193,1),(239,1),(283,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(66,1),(69,1),(70,1),(113,1),(185,1),(282,1)}
        46:{1,3,4,6}:{(29,1),(67,1),(70,1),(71,1),(204,1),(206,1),(255,1)}
        47:{1,2,4,5}:{(32,1),(53,1),(74,1),(125,1),(134,1),(179,1)}
        48:{3,4,5,6}:{(54,1),(75,1),(251,1),(255,1)}
        49:{2,3,5,6}:{(30,1),(55,1),(75,1),(76,1),(196,1),(251,1),(288,1)}
        50:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(138,1),(193,1),(204,1),(206,1),(309,1)}
        51:{2,4,5,7}:{(31,1),(32,1),(57,1),(77,1),(78,1),(116,1),(186,1),(207,1),(236,1),(252,1)}
        52:{2,3,5}:{(32,1),(58,1),(74,1),(79,1)}
        53:{1,2,4,6}:{(35,1),(37,1),(47,1),(81,1),(82,1),(92,1),(144,1)}
        54:{3,4,5,7}:{(38,1),(48,1),(83,1),(225,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(49,1),(83,1),(84,1),(162,1),(225,1),(271,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(40,1),(50,1),(84,1),(85,1),(93,1),(148,1),(155,1),(158,1),(160,1),(208,1),(214,1),(217,1),(270,1)}
        57:{2,4,7}:{(34,1),(35,1),(41,1),(86,1)}
        58:{2,3,6}:{(35,1),(52,1),(82,1),(86,1)}
        59:{1,3,4,6,7}:{(36,1),(38,1),(80,1),(88,1),(93,1),(155,1),(160,1)}
        60:{2,5,6,7}:{(36,1),(88,1),(89,1),(271,1)}
        61:{1,2,5,7}:{(37,1),(41,1),(81,1),(90,1),(91,1),(211,1)}
        62:{1,3,5,6}:{(37,1),(42,1),(82,1),(91,1),(92,1),(150,1),(216,1),(224,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(83,1),(93,1)}
        64:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(84,1),(89,1),(93,1),(94,1),(155,1),(160,1)}
        65:{2,6,7}:{(40,1),(41,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(86,1),(91,1),(95,1),(96,1),(143,1),(162,1),(211,1)}
        67:{2,4,6}:{(42,1),(46,1),(92,1),(96,1),(97,1)}
        68:{1,2,5,6,7}:{(43,1),(44,1),(94,1),(98,1),(147,1),(162,1),(220,1),(224,1),(264,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(95,1),(160,1),(216,1),(298,1)}
        70:{1,3,4,7}:{(45,1),(46,1),(96,1),(214,1),(217,1),(262,1)}
        71:{1,3,4,5}:{(46,1),(97,1),(150,1),(234,1),(235,1),(277,1)}
        72:{1,3,4,5,6}:{(48,1),(80,1),(102,1),(106,1),(169,1),(173,1),(233,1),(272,1)}
        73:{1,2,4,5,7}:{(47,1),(51,1),(81,1),(103,1),(104,1),(147,1),(159,1),(168,1),(211,1),(214,1),(230,1),(234,1),(260,1),(263,1),(273,1),(299,1),(312,1)}
        74:{1,3,5}:{(47,1),(52,1),(82,1),(101,1),(105,1)}
        75:{2,4,5,6}:{(48,1),(49,1),(83,1),(106,1),(229,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(84,1),(106,1),(107,1),(173,1),(224,1),(301,1)}
        77:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        78:{2,3,5,7}:{(51,1),(52,1),(86,1),(104,1),(108,1),(109,1),(175,1),(261,1),(274,1)}
        79:{2,3,4}:{(52,1),(105,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(72,1),(111,1),(115,1),(180,1),(185,1),(242,1),(249,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(61,1),(113,1),(124,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(74,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(63,1),(75,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(76,1),(115,1),(116,1),(185,1),(192,1),(287,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(117,1),(186,1),(189,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(67,1),(79,1),(114,1),(118,1),(119,1),(188,1),(255,1)}
        88:{2,4,6,7}:{(59,1),(60,1),(111,1),(120,1),(121,1),(189,1)}
        89:{1,5,6,7}:{(60,1),(121,1),(287,1)}
        90:{1,2,6,7}:{(61,1),(65,1),(123,1),(239,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(66,1),(113,1),(123,1),(124,1),(192,1)}
        92:{1,4,6}:{(62,1),(67,1),(124,1),(125,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(115,1),(126,1)}
        94:{2,5,6,7}:{(64,1),(65,1),(116,1),(126,1),(189,1)}
        95:{2,3,6,7}:{(65,1),(66,1),(69,1),(123,1),(128,1),(188,1),(239,1)}
        96:{2,4,7}:{(66,1),(67,1),(70,1),(124,1)}
        97:{2,4,5}:{(67,1),(71,1),(119,1),(125,1),(179,1)}
        98:{1,3,5,6,7}:{(68,1),(69,1),(127,1),(130,1),(131,1),(182,1),(244,1),(247,1),(287,1)}
        99:{1,3,4,6,7}:{(69,1),(70,1),(128,1),(130,1),(131,1),(132,1),(194,1)}
       100:{1,3,4,5,7}:{(70,1),(71,1),(129,1),(131,1),(132,1),(184,1),(243,1),(245,1),(282,1)}
       101:{2,3,5}:{(74,1),(110,1),(134,1),(179,1)}
       102:{2,4,5,6}:{(72,1),(111,1),(135,1),(136,1),(202,1),(258,1),(288,1)}
       103:{1,2,4,6}:{(73,1),(77,1),(137,1),(138,1),(193,1),(201,1),(204,1),(239,1),(283,1),(309,1),(314,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(78,1),(113,1),(133,1),(138,1),(139,1),(205,1),(280,1),(282,1),(289,1)}
       105:{1,3,4}:{(74,1),(79,1),(134,1)}
       106:{1,4,5,6}:{(75,1),(76,1),(115,1),(140,1),(204,1)}
       107:{2,5,6}:{(76,1),(77,1),(116,1)}
       108:{2,3,6}:{(77,1),(78,1),(138,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(139,1),(142,1),(186,1),(290,1)}
       110:{2,3,6}:{(82,1),(101,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(88,1),(102,1),(145,1),(146,1),(212,1),(266,1),(271,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(103,1),(147,1),(148,1),(158,1),(210,1),(214,1),(220,1),(260,1),(270,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(105,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(106,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(107,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(108,1),(148,1),(152,1),(160,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(96,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(97,1),(150,1),(277,1)}
       120:{2,3,6,7}:{(88,1),(145,1),(155,1),(160,1)}
       121:{1,4,6,7}:{(88,1),(89,1),(146,1),(155,1)}
       122:{1,2,5,6,7}:{(89,1),(90,1),(94,1),(147,1),(156,1),(157,1),(264,1),(271,1),(301,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(95,1),(158,1),(216,1)}
       124:{1,4,7}:{(91,1),(92,1),(96,1)}
       125:{1,4,5}:{(92,1),(97,1),(150,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(151,1),(160,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(98,1),(152,1),(157,1),(160,1),(161,1),(162,1),(209,1),(219,1),(221,1),(225,1),(264,1),(271,1),(298,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(99,1),(158,1),(162,1),(163,1)}
       129:{2,4,5,7}:{(96,1),(97,1),(100,1),(154,1),(159,1),(162,1),(163,1),(211,1)}
       130:{1,4,6,7}:{(98,1),(161,1),(164,1),(214,1),(268,1)}
       131:{1,3,5,7}:{(99,1),(162,1),(164,1),(165,1),(225,1)}
       132:{1,3,4,6}:{(100,1),(163,1),(165,1),(216,1),(268,1),(269,1),(298,1)}
       133:{2,3,5,7}:{(101,1),(104,1),(143,1),(167,1),(168,1),(211,1),(230,1),(295,1),(302,1),(312,1)}
       134:{2,4}:{(101,1),(105,1)}
       135:{2,3,5,6}:{(102,1),(145,1),(166,1),(169,1),(173,1)}
       136:{1,4,5,6}:{(102,1),(146,1),(169,1),(278,1),(301,1)}
       137:{1,2,5,6}:{(103,1),(107,1),(147,1),(171,1),(224,1),(230,1),(264,1),(301,1)}
       138:{1,3,6}:{(103,1),(104,1),(108,1),(167,1),(298,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(168,1),(172,1),(214,1),(262,1),(303,1)}
       140:{2,4,5,6}:{(106,1),(107,1),(151,1),(173,1),(174,1)}
       141:{2,3,5,6}:{(107,1),(108,1),(152,1),(171,1),(173,1),(174,1),(175,1)}
       142:{2,3,4,6}:{(108,1),(109,1),(172,1),(174,1),(175,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(134,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(120,1),(135,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(121,1),(136,1),(180,1),(284,1),(287,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(137,1),(182,1),(192,1),(238,1),(287,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(138,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(124,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(125,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(126,1),(140,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(141,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(128,1),(142,1),(183,1),(186,1),(187,1),(188,1),(194,1),(246,1),(248,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(129,1),(184,1),(188,1),(282,1)}
       155:{1,3,6,7}:{(120,1),(121,1),(180,1),(189,1)}
       156:{1,2,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(189,1),(190,1),(191,1),(248,1),(283,1),(309,1),(314,1)}
       157:{1,3,5,6,7}:{(122,1),(123,1),(127,1),(182,1),(190,1),(191,1),(192,1),(244,1),(249,1)}
       158:{1,4,6,7}:{(123,1),(124,1),(128,1),(192,1),(193,1)}
       159:{1,4,5,7}:{(124,1),(125,1),(129,1),(184,1),(192,1),(193,1)}
       160:{3,6,7}:{(126,1),(185,1)}
       161:{2,4,6,7}:{(127,1),(130,1),(186,1),(191,1),(194,1),(195,1),(237,1),(246,1),(283,1)}
       162:{2,5,7}:{(128,1),(131,1),(192,1),(196,1)}
       163:{2,4,6}:{(129,1),(132,1),(188,1),(193,1),(196,1),(239,1)}
       164:{1,4,5,7}:{(130,1),(131,1),(195,1),(197,1),(287,1)}
       165:{1,3,5,6}:{(131,1),(132,1),(196,1),(197,1),(251,1)}
       166:{2,3,4,6}:{(135,1),(176,1),(198,1),(199,1),(206,1),(258,1),(291,1)}
       167:{2,3,6}:{(133,1),(138,1),(201,1),(239,1),(314,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1),(310,1)}
       169:{1,3,5,6}:{(135,1),(136,1),(180,1),(199,1),(202,1)}
       170:{1,2,4,5,6}:{(136,1),(137,1),(140,1),(181,1),(202,1),(203,1),(204,1),(250,1),(253,1),(256,1),(258,1),(283,1),(288,1),(294,1),(309,1),(311,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(182,1),(200,1),(204,1),(205,1)}
       172:{1,3,4,6}:{(138,1),(139,1),(142,1),(201,1),(204,1),(205,1),(255,1)}
       173:{3,5,6}:{(140,1),(185,1),(206,1)}
       174:{2,4,6}:{(141,1),(186,1),(204,1),(206,1),(207,1)}
       175:{2,3,5}:{(142,1),(205,1),(207,1)}
       176:{2,3,4,7}:{(145,1),(166,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(167,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(155,1),(169,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(156,1),(170,1),(212,1),(213,1),(214,1),(223,1),(260,1),(263,1),(266,1),(271,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(171,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(158,1),(172,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(270,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(159,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(160,1),(173,1),(217,1)}
       186:{2,4,7}:{(152,1),(174,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(162,1),(175,1),(215,1),(218,1),(219,1),(225,1),(271,1)}
       188:{2,3,6}:{(154,1),(163,1),(216,1),(298,1)}
       189:{2,6,7}:{(155,1),(212,1)}
       190:{1,3,6,7}:{(156,1),(160,1),(213,1),(221,1),(298,1),(313,1)}
       191:{1,4,6,7}:{(157,1),(161,1),(214,1),(223,1),(268,1)}
       192:{1,5,7}:{(158,1),(162,1),(224,1)}
       193:{1,4,6}:{(159,1),(163,1),(216,1),(224,1)}
       194:{3,4,6,7}:{(160,1),(161,1),(217,1),(225,1),(262,1),(269,1),(298,1)}
       195:{2,4,5,7}:{(161,1),(162,1),(164,1),(223,1),(225,1),(226,1),(271,1)}
       196:{2,5,6}:{(162,1),(163,1),(165,1),(224,1)}
       197:{1,4,5,6}:{(164,1),(165,1),(226,1),(268,1),(301,1)}
       198:{2,3,4,5}:{(166,1),(227,1),(235,1),(279,1),(302,1)}
       199:{1,3,4,6}:{(166,1),(169,1),(208,1),(227,1),(228,1),(275,1),(278,1)}
       200:{2,3,5,6}:{(167,1),(171,1),(209,1),(229,1),(230,1),(264,1),(277,1),(298,1)}
       201:{2,4,6}:{(167,1),(168,1),(172,1),(230,1)}
       202:{2,5,6}:{(169,1),(212,1),(228,1)}
       203:{1,3,5,6}:{(170,1),(173,1),(213,1),(232,1),(233,1),(275,1),(277,1),(298,1),(305,1),(313,1)}
       204:{1,4,6}:{(171,1),(174,1),(214,1),(229,1),(234,1)}
       205:{1,3,5}:{(172,1),(175,1),(230,1),(234,1),(277,1)}
       206:{3,4,6}:{(173,1),(174,1),(217,1),(235,1)}
       207:{2,4,5}:{(174,1),(175,1),(234,1),(235,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(199,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(200,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(201,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(189,1),(202,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(190,1),(203,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(204,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(192,1),(205,1),(238,1),(243,1),(244,1),(282,1),(287,1)}
       216:{1,3,6}:{(184,1),(188,1),(193,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(206,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(207,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(196,1),(244,1),(246,1),(251,1),(288,1),(308,1)}
       220:{1,2,6,7}:{(189,1),(240,1),(247,1),(314,1)}
       221:{2,3,6,7}:{(189,1),(190,1),(241,1),(247,1),(248,1),(308,1),(314,1)}
       222:{1,3,4,6,7}:{(190,1),(191,1),(194,1),(242,1),(248,1),(249,1),(286,1)}
       223:{1,4,5,7}:{(191,1),(192,1),(195,1),(249,1),(250,1)}
       224:{1,5,6}:{(192,1),(193,1),(196,1)}
       225:{3,5,7}:{(194,1),(195,1),(251,1)}
       226:{2,4,5,6}:{(195,1),(196,1),(197,1),(246,1),(250,1),(251,1),(283,1),(288,1)}
       227:{1,3,4,5}:{(198,1),(199,1),(252,1),(289,1),(294,1)}
       228:{2,4,6}:{(199,1),(202,1),(236,1),(252,1),(254,1)}
       229:{2,4,6}:{(200,1),(204,1),(237,1),(255,1),(256,1)}
       230:{2,5}:{(201,1),(205,1)}
       231:{1,2,5,6}:{(202,1),(240,1),(253,1),(257,1),(311,1),(314,1)}
       232:{2,3,5,6}:{(202,1),(203,1),(241,1),(254,1),(257,1),(258,1),(288,1),(291,1),(293,1),(308,1),(311,1),(314,1)}
       233:{1,3,4,6}:{(203,1),(204,1),(206,1),(242,1),(255,1),(258,1),(259,1)}
       234:{1,4,5}:{(204,1),(205,1),(207,1),(256,1)}
       235:{3,4,5}:{(206,1),(207,1)}
       236:{2,4,7}:{(208,1),(212,1),(228,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(229,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(230,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(220,1),(231,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(221,1),(232,1),(261,1),(265,1),(266,1),(271,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(234,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(224,1),(264,1),(268,1),(298,1),(301,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(225,1),(235,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{1,3,6,7}:{(220,1),(221,1),(265,1),(270,1),(313,1)}
       248:{2,4,6,7}:{(221,1),(222,1),(266,1),(270,1),(271,1),(300,1)}
       249:{1,3,5,7}:{(222,1),(223,1),(225,1),(271,1),(272,1)}
       250:{1,4,5,6}:{(223,1),(224,1),(226,1),(268,1),(272,1)}
       251:{3,5,6}:{(225,1),(226,1),(269,1),(298,1)}
       252:{2,4,5}:{(227,1),(228,1),(274,1)}
       253:{1,2,4,6}:{(228,1),(231,1),(260,1),(273,1),(275,1),(278,1),(304,1)}
       254:{2,3,6}:{(228,1),(261,1),(274,1),(275,1)}
       255:{3,4,6}:{(229,1),(262,1),(277,1),(298,1)}
       256:{2,4,5}:{(229,1),(230,1),(234,1),(277,1)}
       257:{1,3,5,6}:{(231,1),(232,1),(265,1),(275,1),(278,1),(301,1),(305,1),(313,1)}
       258:{2,4,6}:{(232,1),(233,1),(266,1),(278,1),(279,1)}
       259:{1,3,4,5}:{(233,1),(234,1),(235,1),(277,1),(279,1),(305,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(253,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(254,1),(280,1)}
       262:{3,4,7}:{(237,1),(255,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(256,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(247,1),(257,1),(280,1),(284,1),(287,1)}
       266:{2,4,7}:{(241,1),(242,1),(258,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(249,1),(259,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(251,1)}
       270:{1,4,6,7}:{(247,1),(248,1),(284,1),(287,1),(309,1)}
       271:{2,5,7}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,5,6}:{(249,1),(250,1),(251,1),(286,1),(288,1)}
       273:{1,2,4,5}:{(252,1),(253,1),(289,1),(294,1),(310,1),(311,1)}
       274:{2,3,5}:{(252,1),(254,1),(289,1),(290,1)}
       275:{1,3,6}:{(253,1),(254,1),(280,1),(289,1),(291,1)}
       276:{2,3,4,6}:{(254,1),(255,1),(258,1),(281,1),(290,1),(292,1),(293,1),(308,1)}
       277:{3,5}:{(255,1),(256,1)}
       278:{1,4,6}:{(257,1),(258,1),(284,1),(294,1)}
       279:{2,4,5}:{(258,1),(259,1),(293,1),(294,1),(311,1)}
       280:{1,3,7}:{(260,1),(261,1),(275,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(276,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(277,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(278,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(271,1),(279,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(272,1),(298,1),(300,1),(313,1)}
       287:{1,5,7}:{(270,1),(271,1),(301,1)}
       288:{2,5,6}:{(271,1),(272,1),(300,1),(301,1)}
       289:{1,3,5}:{(273,1),(274,1),(275,1),(302,1),(303,1)}
       290:{2,3,4}:{(274,1),(303,1)}
       291:{2,3,6}:{(275,1),(295,1),(302,1),(304,1)}
       292:{1,3,4,6}:{(275,1),(276,1),(278,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       293:{2,3,5}:{(276,1),(277,1),(279,1),(305,1)}
       294:{1,4,5}:{(278,1),(279,1),(305,1)}
       295:{2,3,7}:{(280,1),(291,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(292,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(293,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(287,1),(294,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(288,1),(308,1),(309,1),(314,1)}
       301:{1,5,6}:{(287,1),(288,1),(309,1)}
       302:{2,3,5}:{(289,1),(291,1),(310,1),(311,1)}
       303:{1,3,4}:{(289,1),(290,1),(310,1)}
       304:{2,4,6}:{(291,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       305:{1,3,5}:{(292,1),(293,1),(294,1),(311,1)}
       306:{2,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(305,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4}:{(302,1),(303,1)}
       311:{2,5}:{(304,1),(305,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1506 :   0:{1,4,5,6,7}:{(1,1),(2,1),(35,1),(39,1),(107,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(18,1),(21,1),(64,1),(129,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(143,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(15,1),(39,1),(158,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(93,1),(170,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(39,1),(47,1),(93,1)}
         6:{2,5,6,7}:{(2,1),(14,1),(15,1),(185,1)}
         7:{1,3,4,5,6}:{(11,1),(13,1),(16,1),(42,1),(51,1),(96,1),(111,1),(186,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(17,1),(18,1),(199,1)}
         9:{3,4,6,7}:{(4,1),(20,1),(21,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(18,1),(21,1),(22,1),(27,1),(55,1),(61,1)}
        11:{3,4,5,6}:{(20,1),(23,1),(214,1),(281,1)}
        12:{2,3,4,5,7}:{(24,1),(25,1),(32,1),(60,1),(61,1),(71,1),(114,1),(135,1),(210,1),(223,1),(267,1),(276,1),(282,1),(308,1)}
        13:{1,3,4,5,7}:{(5,1),(7,1),(20,1),(26,1),(62,1),(72,1),(125,1),(140,1),(143,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(26,1),(27,1),(28,1),(74,1)}
        15:{1,5,6,7}:{(6,1),(28,1),(225,1)}
        16:{2,4,5,6}:{(7,1),(26,1),(30,1),(31,1),(78,1),(148,1),(226,1)}
        17:{1,3,4,6,7}:{(8,1),(9,1),(33,1),(34,1),(39,1),(83,1),(93,1)}
        18:{2,5,6,7}:{(8,1),(34,1),(35,1),(238,1)}
        19:{1,3,4,5,6}:{(11,1),(33,1),(36,1),(42,1),(87,1),(96,1),(162,1),(239,1)}
        20:{3,4,5,7}:{(9,1),(11,1),(37,1),(170,1),(296,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(37,1),(39,1)}
        22:{1,3,5,6,7}:{(10,1),(15,1),(35,1),(39,1),(40,1),(47,1),(83,1),(90,1),(93,1)}
        23:{2,4,5,6}:{(11,1),(37,1),(41,1),(42,1),(253,1)}
        24:{2,3,4,6}:{(12,1),(41,1),(43,1),(175,1),(249,1),(253,1),(260,1),(292,1),(313,1)}
        25:{1,3,4,5,7}:{(12,1),(43,1),(44,1),(53,1),(89,1),(90,1),(99,1),(101,1),(152,1),(167,1),(174,1),(247,1),(254,1),(259,1),(291,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(16,1),(45,1),(46,1),(102,1),(182,1),(185,1)}
        27:{2,3,6,7}:{(14,1),(45,1),(47,1),(93,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(46,1),(47,1)}
        29:{1,2,5,6,7}:{(15,1),(40,1),(48,1),(49,1),(155,1),(165,1),(185,1),(261,1),(299,1)}
        30:{2,3,5,6}:{(16,1),(45,1),(50,1),(51,1),(96,1)}
        31:{1,4,5,6}:{(16,1),(46,1),(51,1),(189,1),(261,1)}
        32:{2,3,4,5}:{(50,1),(53,1),(174,1),(190,1),(191,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(20,1),(54,1),(62,1),(115,1),(125,1),(196,1),(199,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(54,1),(55,1),(56,1),(117,1)}
        35:{1,5,6,7}:{(18,1),(56,1),(269,1)}
        36:{2,4,5,6}:{(19,1),(54,1),(58,1),(59,1),(121,1),(204,1),(270,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(23,1),(61,1),(62,1),(276,1)}
        38:{2,3,4,6,7}:{(21,1),(24,1),(27,1),(55,1),(61,1),(63,1),(71,1),(114,1),(128,1),(142,1),(198,1),(211,1),(276,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(62,1),(64,1)}
        40:{2,5,6,7}:{(22,1),(64,1),(74,1),(117,1),(124,1)}
        41:{2,3,5,6}:{(23,1),(24,1),(61,1),(66,1),(214,1),(226,1),(270,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(66,1),(67,1),(216,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(66,1),(68,1),(132,1),(133,1),(216,1),(286,1),(306,1)}
        44:{2,4,5,7}:{(25,1),(68,1),(70,1),(80,1),(123,1),(124,1),(137,1),(193,1),(209,1),(217,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(30,1),(71,1),(72,1),(125,1)}
        46:{1,4,5,7}:{(26,1),(28,1),(31,1),(72,1),(222,1),(225,1)}
        47:{1,3,6,7}:{(27,1),(28,1),(72,1),(74,1)}
        48:{1,2,4,6,7}:{(28,1),(29,1),(64,1),(73,1),(74,1),(75,1),(76,1),(142,1),(286,1),(309,1),(310,1)}
        49:{1,3,5,6,7}:{(29,1),(65,1),(75,1),(76,1),(143,1),(197,1),(208,1),(269,1),(280,1)}
        50:{2,3,4,6}:{(30,1),(32,1),(71,1),(77,1),(132,1),(148,1),(227,1)}
        51:{1,3,5,6}:{(30,1),(31,1),(72,1),(77,1),(78,1)}
        52:{1,2,4,5,6}:{(31,1),(67,1),(73,1),(78,1),(79,1),(130,1),(144,1),(145,1),(148,1),(216,1),(226,1),(230,1),(282,1),(286,1),(287,1),(309,1),(310,1)}
        53:{1,3,4,5}:{(32,1),(77,1),(80,1),(150,1),(230,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(36,1),(81,1),(82,1),(153,1),(235,1),(238,1)}
        55:{2,3,6,7}:{(34,1),(81,1),(83,1),(93,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(82,1),(83,1)}
        57:{1,2,5,6,7}:{(35,1),(40,1),(84,1),(85,1),(104,1),(165,1),(238,1),(293,1),(299,1)}
        58:{2,3,5,6}:{(36,1),(81,1),(86,1),(87,1),(96,1)}
        59:{1,4,5,6}:{(36,1),(82,1),(87,1),(242,1),(293,1)}
        60:{2,3,4,5}:{(86,1),(89,1),(174,1),(243,1),(244,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(41,1),(90,1),(170,1),(185,1),(238,1)}
        62:{1,4,5,7}:{(37,1),(39,1),(42,1),(90,1),(91,1),(247,1)}
        63:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(47,1),(83,1),(90,1),(92,1),(93,1),(101,1),(152,1),(167,1),(168,1),(184,1),(237,1),(247,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(91,1),(93,1)}
        65:{2,3,5,6,7}:{(40,1),(49,1),(85,1),(93,1),(94,1),(105,1),(156,1),(166,1),(170,1),(185,1),(238,1),(246,1),(252,1),(299,1),(313,1)}
        66:{1,3,5,6}:{(41,1),(42,1),(43,1),(90,1),(95,1),(96,1),(261,1),(293,1)}
        67:{2,4,5,6}:{(42,1),(91,1),(95,1),(96,1),(173,1)}
        68:{2,4,6}:{(43,1),(44,1),(95,1),(98,1)}
        69:{1,2,4,5,7}:{(44,1),(97,1),(99,1),(112,1),(163,1),(165,1),(178,1),(179,1),(232,1),(247,1),(254,1),(255,1),(259,1),(291,1),(297,1),(301,1),(311,1)}
        70:{2,3,5,7}:{(44,1),(98,1),(99,1),(100,1),(113,1),(164,1),(177,1),(180,1),(233,1)}
        71:{2,3,4,7}:{(45,1),(50,1),(101,1),(167,1),(182,1),(256,1)}
        72:{1,3,5,7}:{(45,1),(46,1),(47,1),(51,1),(101,1),(102,1)}
        73:{1,2,4,5,7}:{(46,1),(48,1),(52,1),(91,1),(102,1),(103,1),(107,1),(165,1),(179,1),(182,1),(185,1),(247,1),(259,1),(297,1),(301,1)}
        74:{2,6,7}:{(47,1),(102,1)}
        75:{1,3,6,7}:{(48,1),(93,1),(103,1),(105,1),(302,1),(313,1)}
        76:{1,4,6,7}:{(49,1),(94,1),(107,1),(247,1),(298,1)}
        77:{1,3,4,6}:{(50,1),(51,1),(53,1),(101,1),(108,1),(187,1),(189,1)}
        78:{2,5,6}:{(51,1),(102,1),(108,1)}
        79:{1,3,5,6}:{(52,1),(96,1),(103,1),(110,1),(111,1),(187,1),(263,1),(300,1),(302,1),(313,1)}
        80:{2,4,5}:{(53,1),(108,1),(113,1)}
        81:{2,3,5,7}:{(54,1),(55,1),(58,1),(114,1),(115,1),(125,1)}
        82:{1,4,5,7}:{(54,1),(56,1),(59,1),(115,1),(266,1),(269,1)}
        83:{1,3,6,7}:{(55,1),(56,1),(115,1),(117,1)}
        84:{1,2,4,6,7}:{(56,1),(57,1),(64,1),(116,1),(117,1),(118,1),(119,1),(198,1),(306,1),(309,1),(314,1)}
        85:{1,3,5,6,7}:{(57,1),(65,1),(118,1),(119,1),(141,1),(199,1),(208,1),(225,1),(280,1)}
        86:{2,3,4,6}:{(58,1),(60,1),(114,1),(120,1),(132,1),(204,1),(271,1)}
        87:{1,3,5,6}:{(58,1),(59,1),(115,1),(120,1),(121,1)}
        88:{1,2,4,5,6}:{(59,1),(67,1),(116,1),(121,1),(122,1),(130,1),(200,1),(201,1),(204,1),(216,1),(270,1),(274,1),(282,1),(306,1),(307,1),(309,1),(314,1)}
        89:{1,3,4,5}:{(60,1),(120,1),(123,1),(206,1),(274,1)}
        90:{1,3,5,7}:{(61,1),(62,1),(63,1),(66,1),(124,1),(125,1),(225,1),(269,1)}
        91:{2,4,5,7}:{(62,1),(64,1),(67,1),(124,1),(125,1),(209,1)}
        92:{2,4,6,7}:{(63,1),(68,1),(74,1),(117,1),(124,1),(127,1),(137,1),(193,1),(209,1)}
        93:{3,6,7}:{(64,1),(125,1)}
        94:{2,4,6,7}:{(65,1),(76,1),(119,1),(128,1),(129,1),(209,1),(276,1),(278,1),(309,1)}
        95:{2,5,6}:{(66,1),(68,1),(124,1)}
        96:{3,5,6}:{(67,1),(125,1),(132,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(130,1),(133,1),(216,1),(218,1),(286,1),(306,1),(309,1),(310,1),(314,1)}
        98:{2,3,6}:{(68,1),(70,1),(133,1)}
        99:{1,3,5,7}:{(69,1),(70,1),(133,1),(135,1),(136,1),(150,1),(206,1),(219,1),(220,1),(264,1),(308,1)}
       100:{2,3,4,7}:{(70,1),(134,1),(136,1),(151,1),(207,1),(209,1)}
       101:{1,3,4,7}:{(71,1),(72,1),(77,1),(137,1),(220,1),(222,1)}
       102:{2,5,7}:{(72,1),(74,1),(78,1),(137,1)}
       103:{1,3,5,7}:{(73,1),(75,1),(79,1),(125,1),(139,1),(140,1),(220,1),(308,1)}
       104:{1,2,6,7}:{(74,1),(138,1),(141,1),(310,1)}
       105:{2,3,6,7}:{(74,1),(75,1),(139,1),(141,1),(142,1),(285,1),(310,1)}
       106:{1,3,4,6,7}:{(75,1),(76,1),(128,1),(140,1),(142,1),(143,1),(224,1)}
       107:{1,4,5,7}:{(76,1),(129,1),(143,1),(144,1),(269,1)}
       108:{2,4,6}:{(77,1),(78,1),(80,1),(137,1),(146,1)}
       109:{1,2,5,6}:{(78,1),(138,1),(145,1),(147,1),(287,1),(310,1)}
       110:{2,3,5,6}:{(78,1),(79,1),(139,1),(146,1),(147,1),(148,1),(226,1),(227,1),(229,1),(285,1),(287,1),(310,1)}
       111:{1,3,4,6}:{(79,1),(132,1),(140,1),(148,1),(149,1),(216,1),(281,1)}
       112:{1,2,4,5}:{(80,1),(145,1),(150,1),(230,1),(231,1),(287,1)}
       113:{2,3,5}:{(80,1),(146,1),(150,1),(151,1)}
       114:{2,3,4,7}:{(81,1),(86,1),(152,1),(167,1),(235,1),(288,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(152,1),(153,1)}
       116:{1,2,4,5,7}:{(82,1),(84,1),(88,1),(91,1),(153,1),(154,1),(158,1),(165,1),(232,1),(235,1),(238,1),(247,1),(291,1),(297,1),(311,1)}
       117:{2,6,7}:{(83,1),(153,1)}
       118:{1,3,6,7}:{(84,1),(93,1),(154,1),(156,1),(312,1),(313,1)}
       119:{1,4,6,7}:{(85,1),(94,1),(158,1),(247,1),(298,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(89,1),(152,1),(159,1),(240,1),(242,1)}
       121:{2,5,6}:{(87,1),(153,1),(159,1)}
       122:{1,3,5,6}:{(88,1),(96,1),(154,1),(161,1),(162,1),(240,1),(295,1),(300,1),(312,1),(313,1)}
       123:{2,4,5}:{(89,1),(159,1),(164,1)}
       124:{2,5,7}:{(90,1),(92,1),(95,1)}
       125:{3,5,7}:{(91,1),(93,1),(96,1),(167,1)}
       126:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(155,1),(165,1),(168,1),(179,1),(184,1),(232,1),(237,1),(247,1),(250,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(98,1),(166,1),(168,1),(180,1),(233,1)}
       128:{3,4,6,7}:{(93,1),(94,1),(167,1),(170,1),(249,1),(296,1),(313,1)}
       129:{2,4,5,7}:{(94,1),(107,1),(158,1),(170,1),(171,1),(185,1),(238,1)}
       130:{1,2,5,6}:{(95,1),(97,1),(165,1),(172,1),(255,1),(261,1),(293,1),(299,1)}
       131:{2,3,5,6}:{(95,1),(96,1),(98,1),(166,1),(172,1),(173,1),(177,1)}
       132:{3,4,6}:{(96,1),(167,1),(173,1),(174,1)}
       133:{1,3,6}:{(97,1),(98,1),(99,1),(175,1),(313,1)}
       134:{2,3,4,6}:{(98,1),(100,1),(173,1),(176,1),(177,1)}
       135:{2,3,5,7}:{(99,1),(175,1),(178,1),(191,1),(244,1),(255,1),(256,1),(288,1),(301,1),(311,1)}
       136:{1,3,4,7}:{(99,1),(100,1),(176,1),(178,1),(192,1),(245,1),(247,1),(296,1)}
       137:{2,4,7}:{(101,1),(102,1),(108,1),(180,1)}
       138:{1,2,5,7}:{(102,1),(104,1),(109,1),(179,1),(181,1),(301,1)}
       139:{2,3,5,7}:{(102,1),(103,1),(105,1),(110,1),(180,1),(181,1),(182,1),(185,1),(256,1),(301,1)}
       140:{1,3,4,7}:{(103,1),(111,1),(167,1),(182,1),(247,1),(296,1)}
       141:{1,3,6,7}:{(104,1),(105,1),(181,1),(184,1),(302,1)}
       142:{2,4,6,7}:{(105,1),(106,1),(182,1),(184,1),(185,1),(260,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(170,1),(185,1),(186,1)}
       144:{1,4,5,6}:{(107,1),(171,1),(186,1),(293,1),(298,1)}
       145:{1,2,4,6}:{(108,1),(109,1),(112,1),(179,1),(187,1),(189,1),(262,1)}
       146:{2,3,6}:{(108,1),(113,1),(180,1),(187,1)}
       147:{1,3,5,6}:{(109,1),(110,1),(181,1),(187,1),(189,1),(261,1),(263,1),(302,1)}
       148:{2,4,6}:{(110,1),(111,1),(182,1),(189,1),(190,1)}
       149:{1,3,4,5}:{(111,1),(174,1),(190,1),(254,1),(263,1),(300,1)}
       150:{1,3,5}:{(112,1),(113,1),(187,1),(191,1),(192,1)}
       151:{2,3,4}:{(113,1),(192,1)}
       152:{1,3,4,7}:{(114,1),(115,1),(120,1),(193,1),(264,1),(266,1)}
       153:{2,5,7}:{(115,1),(117,1),(121,1),(193,1)}
       154:{1,3,5,7}:{(116,1),(118,1),(122,1),(125,1),(195,1),(196,1),(264,1),(308,1)}
       155:{1,2,6,7}:{(117,1),(194,1),(197,1),(314,1)}
       156:{2,3,6,7}:{(117,1),(118,1),(195,1),(197,1),(198,1),(305,1),(314,1)}
       157:{1,3,4,6,7}:{(118,1),(119,1),(128,1),(196,1),(198,1),(199,1),(268,1)}
       158:{1,4,5,7}:{(119,1),(129,1),(199,1),(200,1),(225,1)}
       159:{2,4,6}:{(120,1),(121,1),(123,1),(193,1),(202,1)}
       160:{1,2,5,6}:{(121,1),(194,1),(201,1),(203,1),(307,1),(314,1)}
       161:{2,3,5,6}:{(121,1),(122,1),(195,1),(202,1),(203,1),(204,1),(270,1),(271,1),(273,1),(305,1),(307,1),(314,1)}
       162:{1,3,4,6}:{(122,1),(132,1),(196,1),(204,1),(205,1),(216,1),(281,1)}
       163:{1,2,4,5}:{(123,1),(201,1),(206,1),(274,1),(275,1),(307,1)}
       164:{2,3,5}:{(123,1),(202,1),(206,1),(207,1)}
       165:{1,2,5,7}:{(124,1),(126,1),(130,1),(208,1),(225,1),(269,1),(279,1)}
       166:{2,3,5,7}:{(124,1),(125,1),(127,1),(131,1),(208,1),(209,1)}
       167:{3,4,7}:{(125,1),(132,1),(209,1)}
       168:{1,3,6,7}:{(126,1),(127,1),(133,1),(208,1),(211,1),(220,1),(264,1)}
       169:{2,3,4,6,7}:{(127,1),(128,1),(134,1),(142,1),(198,1),(209,1),(212,1),(213,1),(221,1),(265,1),(278,1),(285,1),(305,1)}
       170:{3,5,7}:{(128,1),(129,1),(214,1)}
       171:{2,4,5,6}:{(129,1),(144,1),(200,1),(214,1),(226,1),(270,1),(278,1),(309,1)}
       172:{1,3,5,6}:{(130,1),(131,1),(133,1),(208,1),(215,1),(216,1),(219,1)}
       173:{2,4,6}:{(131,1),(132,1),(209,1),(216,1),(217,1)}
       174:{3,4,5}:{(132,1),(217,1)}
       175:{2,3,6}:{(133,1),(135,1),(218,1),(310,1),(314,1)}
       176:{1,3,4,6}:{(133,1),(134,1),(136,1),(216,1),(218,1),(219,1),(281,1)}
       177:{2,3,5}:{(134,1),(217,1),(219,1)}
       178:{2,4,7}:{(135,1),(136,1),(218,1),(231,1),(275,1)}
       179:{1,2,4,7}:{(137,1),(138,1),(145,1),(220,1),(222,1),(283,1)}
       180:{2,3,7}:{(137,1),(146,1),(220,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(141,1),(147,1),(220,1),(222,1),(225,1)}
       182:{2,4,7}:{(139,1),(140,1),(148,1),(222,1)}
       183:{1,3,4,5,7}:{(140,1),(143,1),(149,1),(210,1),(223,1),(224,1),(277,1),(284,1),(308,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(222,1),(225,1),(286,1)}
       185:{2,5,7}:{(142,1),(143,1),(225,1),(226,1)}
       186:{1,3,5,6}:{(143,1),(144,1),(214,1),(224,1),(226,1)}
       187:{1,3,6}:{(145,1),(146,1),(150,1),(220,1),(227,1)}
       188:{2,3,4,6}:{(146,1),(148,1),(151,1),(221,1),(228,1),(229,1),(281,1),(285,1)}
       189:{1,4,6}:{(147,1),(148,1),(222,1),(230,1)}
       190:{2,4,5}:{(148,1),(149,1),(229,1),(230,1),(287,1)}
       191:{2,3,5}:{(150,1),(227,1),(231,1),(287,1)}
       192:{1,3,4}:{(150,1),(151,1),(231,1)}
       193:{2,4,7}:{(152,1),(153,1),(159,1),(233,1)}
       194:{1,2,5,7}:{(153,1),(155,1),(160,1),(232,1),(234,1),(311,1)}
       195:{2,3,5,7}:{(153,1),(154,1),(156,1),(161,1),(233,1),(234,1),(235,1),(238,1),(288,1),(311,1)}
       196:{1,3,4,7}:{(154,1),(162,1),(167,1),(235,1),(247,1),(296,1)}
       197:{1,3,6,7}:{(155,1),(156,1),(234,1),(237,1),(312,1)}
       198:{2,4,6,7}:{(156,1),(157,1),(235,1),(237,1),(238,1),(292,1)}
       199:{1,3,5,7}:{(157,1),(158,1),(170,1),(238,1),(239,1)}
       200:{1,4,5,6}:{(158,1),(171,1),(239,1),(261,1),(298,1)}
       201:{1,2,4,6}:{(159,1),(160,1),(163,1),(232,1),(240,1),(242,1),(294,1)}
       202:{2,3,6}:{(159,1),(164,1),(233,1),(240,1)}
       203:{1,3,5,6}:{(160,1),(161,1),(234,1),(240,1),(242,1),(293,1),(295,1),(312,1)}
       204:{2,4,6}:{(161,1),(162,1),(235,1),(242,1),(243,1)}
       205:{1,3,4,5}:{(162,1),(174,1),(243,1),(254,1),(295,1),(300,1)}
       206:{1,3,5}:{(163,1),(164,1),(240,1),(244,1),(245,1)}
       207:{2,3,4}:{(164,1),(245,1)}
       208:{1,3,5,7}:{(165,1),(166,1),(168,1),(172,1),(246,1),(247,1)}
       209:{2,4,7}:{(166,1),(167,1),(173,1),(247,1)}
       210:{3,4,5,7}:{(167,1),(170,1),(174,1),(248,1),(249,1)}
       211:{2,3,6,7}:{(168,1),(175,1),(246,1),(250,1),(256,1),(288,1),(313,1)}
       212:{1,3,4,6,7}:{(168,1),(169,1),(176,1),(184,1),(237,1),(247,1),(250,1),(251,1),(257,1),(289,1),(296,1),(298,1),(302,1),(312,1),(313,1)}
       213:{2,3,5,7}:{(169,1),(170,1),(177,1),(185,1),(238,1),(248,1),(251,1),(252,1)}
       214:{3,5,6}:{(170,1),(171,1),(249,1),(313,1)}
       215:{2,3,5,6}:{(172,1),(175,1),(246,1),(253,1),(255,1),(299,1),(300,1),(313,1)}
       216:{1,4,6}:{(172,1),(173,1),(247,1),(253,1),(254,1)}
       217:{2,4,5}:{(173,1),(174,1),(177,1),(254,1)}
       218:{2,4,6}:{(175,1),(176,1),(178,1),(255,1)}
       219:{1,3,5}:{(176,1),(177,1),(254,1),(255,1),(300,1)}
       220:{1,3,7}:{(179,1),(180,1),(187,1),(256,1)}
       221:{2,3,4,7}:{(180,1),(182,1),(188,1),(257,1),(258,1),(296,1)}
       222:{1,4,7}:{(181,1),(182,1),(189,1)}
       223:{2,4,5,7}:{(182,1),(183,1),(185,1),(190,1),(258,1),(259,1),(260,1),(301,1)}
       224:{1,3,4,6}:{(183,1),(186,1),(249,1),(260,1),(298,1),(302,1),(313,1)}
       225:{1,5,7}:{(184,1),(185,1),(261,1)}
       226:{2,5,6}:{(185,1),(186,1),(260,1),(261,1)}
       227:{2,3,6}:{(187,1),(191,1),(256,1),(262,1)}
       228:{1,3,4,6}:{(187,1),(188,1),(189,1),(192,1),(257,1),(262,1),(263,1),(302,1)}
       229:{2,3,5}:{(188,1),(190,1),(263,1),(300,1)}
       230:{1,4,5}:{(189,1),(190,1),(263,1)}
       231:{2,4}:{(191,1),(192,1)}
       232:{1,2,4,7}:{(193,1),(194,1),(201,1),(264,1),(266,1),(303,1)}
       233:{2,3,7}:{(193,1),(202,1),(264,1)}
       234:{1,3,5,7}:{(194,1),(195,1),(197,1),(203,1),(264,1),(266,1),(269,1)}
       235:{2,4,7}:{(195,1),(196,1),(204,1),(266,1)}
       236:{1,3,4,5,7}:{(196,1),(199,1),(205,1),(210,1),(267,1),(268,1),(277,1),(304,1),(308,1)}
       237:{1,4,6,7}:{(197,1),(198,1),(266,1),(269,1),(306,1)}
       238:{2,5,7}:{(198,1),(199,1),(269,1),(270,1)}
       239:{1,3,5,6}:{(199,1),(200,1),(214,1),(268,1),(270,1)}
       240:{1,3,6}:{(201,1),(202,1),(206,1),(264,1),(271,1)}
       241:{2,3,4,6}:{(202,1),(204,1),(207,1),(265,1),(272,1),(273,1),(281,1),(305,1)}
       242:{1,4,6}:{(203,1),(204,1),(266,1),(274,1)}
       243:{2,4,5}:{(204,1),(205,1),(273,1),(274,1),(307,1)}
       244:{2,3,5}:{(206,1),(271,1),(275,1),(307,1)}
       245:{1,3,4}:{(206,1),(207,1),(275,1)}
       246:{2,3,5,7}:{(208,1),(211,1),(215,1),(276,1),(279,1),(308,1)}
       247:{1,4,7}:{(208,1),(209,1),(216,1),(276,1)}
       248:{2,4,5,7}:{(209,1),(210,1),(213,1),(217,1),(277,1),(278,1)}
       249:{3,4,6}:{(210,1),(214,1),(278,1)}
       250:{2,4,6,7}:{(211,1),(212,1),(218,1),(276,1),(279,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       251:{1,3,5,7}:{(212,1),(213,1),(219,1),(225,1),(269,1),(277,1),(279,1),(280,1),(308,1)}
       252:{2,3,5,6}:{(213,1),(214,1),(226,1),(270,1),(278,1),(280,1),(285,1),(305,1)}
       253:{2,4,6}:{(215,1),(216,1),(276,1),(281,1),(282,1)}
       254:{1,4,5}:{(216,1),(217,1),(219,1),(282,1)}
       255:{2,5}:{(218,1),(219,1)}
       256:{2,3,7}:{(220,1),(227,1),(283,1)}
       257:{1,3,4,7}:{(220,1),(221,1),(222,1),(228,1),(283,1),(284,1)}
       258:{2,3,5,7}:{(221,1),(223,1),(229,1),(284,1),(285,1),(308,1)}
       259:{1,4,5,7}:{(222,1),(223,1),(225,1),(230,1),(284,1),(286,1)}
       260:{2,4,6}:{(223,1),(224,1),(226,1),(285,1),(286,1),(310,1)}
       261:{1,5,6}:{(225,1),(226,1),(286,1)}
       262:{2,4,6}:{(227,1),(228,1),(231,1),(283,1),(287,1),(310,1)}
       263:{1,3,5}:{(228,1),(229,1),(230,1),(287,1)}
       264:{1,3,7}:{(232,1),(233,1),(240,1),(288,1)}
       265:{2,3,4,7}:{(233,1),(235,1),(241,1),(289,1),(290,1),(296,1)}
       266:{1,4,7}:{(234,1),(235,1),(242,1)}
       267:{2,4,5,7}:{(235,1),(236,1),(238,1),(243,1),(290,1),(291,1),(292,1),(311,1)}
       268:{1,3,4,6}:{(236,1),(239,1),(249,1),(292,1),(298,1),(312,1),(313,1)}
       269:{1,5,7}:{(237,1),(238,1),(293,1)}
       270:{2,5,6}:{(238,1),(239,1),(292,1),(293,1)}
       271:{2,3,6}:{(240,1),(244,1),(288,1),(294,1)}
       272:{1,3,4,6}:{(240,1),(241,1),(242,1),(245,1),(289,1),(294,1),(295,1),(312,1)}
       273:{2,3,5}:{(241,1),(243,1),(295,1),(300,1)}
       274:{1,4,5}:{(242,1),(243,1),(295,1)}
       275:{2,4}:{(244,1),(245,1)}
       276:{2,4,7}:{(246,1),(247,1),(253,1),(296,1)}
       277:{1,4,5,7}:{(247,1),(248,1),(251,1),(254,1),(297,1),(298,1)}
       278:{2,4,6}:{(248,1),(249,1),(252,1),(298,1)}
       279:{2,5,7}:{(250,1),(251,1),(255,1),(299,1)}
       280:{1,3,5,6}:{(251,1),(252,1),(261,1),(293,1),(298,1),(299,1),(302,1),(312,1),(313,1)}
       281:{3,4,6}:{(253,1),(296,1),(300,1),(313,1)}
       282:{2,4,5}:{(253,1),(254,1),(255,1),(300,1)}
       283:{2,4,7}:{(256,1),(257,1),(262,1),(301,1)}
       284:{1,3,5,7}:{(257,1),(258,1),(259,1),(263,1),(301,1),(302,1)}
       285:{2,3,6}:{(258,1),(260,1),(302,1),(313,1)}
       286:{1,4,6}:{(259,1),(260,1),(261,1),(302,1)}
       287:{2,5}:{(262,1),(263,1)}
       288:{2,3,7}:{(264,1),(271,1),(303,1)}
       289:{1,3,4,7}:{(264,1),(265,1),(266,1),(272,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(265,1),(267,1),(273,1),(304,1),(305,1),(308,1)}
       291:{1,4,5,7}:{(266,1),(267,1),(269,1),(274,1),(304,1),(306,1)}
       292:{2,4,6}:{(267,1),(268,1),(270,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(269,1),(270,1),(306,1)}
       294:{2,4,6}:{(271,1),(272,1),(275,1),(303,1),(307,1),(314,1)}
       295:{1,3,5}:{(272,1),(273,1),(274,1),(307,1)}
       296:{3,4,7}:{(276,1),(281,1),(308,1)}
       297:{2,4,5,7}:{(276,1),(277,1),(279,1),(282,1),(308,1),(309,1)}
       298:{1,4,6}:{(277,1),(278,1),(280,1),(309,1)}
       299:{2,5,6}:{(279,1),(280,1),(309,1),(310,1),(314,1)}
       300:{3,5}:{(281,1),(282,1)}
       301:{2,5,7}:{(283,1),(284,1),(287,1),(310,1)}
       302:{1,3,6}:{(284,1),(285,1),(286,1),(310,1)}
       303:{2,4,7}:{(288,1),(289,1),(294,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(295,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{2,5}:{(294,1),(295,1)}
       308:{3,5,7}:{(296,1),(297,1),(300,1),(313,1)}
       309:{2,4,6}:{(297,1),(298,1),(299,1),(313,1)}
       310:{2,6}:{(301,1),(302,1)}
       311:{2,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(308,1),(309,1)}
       314:{2,6}:{(311,1),(312,1)}

1507 :   0:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(63,1),(72,1),(75,1),(76,1),(123,1),(148,1),(204,1),(210,1),(214,1),(262,1),(275,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(34,1),(44,1),(85,1),(107,1),(161,1),(175,1),(176,1),(180,1),(181,1),(188,1),(232,1),(241,1),(245,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(44,1),(165,1),(188,1),(235,1),(241,1),(245,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(36,1),(43,1),(48,1),(99,1),(182,1),(186,1),(292,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(50,1),(51,1),(63,1),(73,1),(122,1),(125,1),(126,1),(153,1),(199,1),(210,1),(214,1),(224,1),(297,1)}
         5:{2,4,5,7}:{(1,1),(15,1),(16,1),(17,1),(21,1),(51,1),(59,1),(63,1),(75,1),(125,1),(134,1),(140,1),(210,1),(214,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(64,1),(142,1),(143,1),(146,1),(197,1),(216,1),(220,1),(258,1)}
         7:{1,2,4,6,7}:{(3,1),(19,1),(20,1),(58,1),(68,1),(72,1),(132,1),(210,1)}
         8:{1,3,4,7}:{(2,1),(21,1),(22,1),(72,1),(151,1),(262,1),(270,1)}
         9:{2,3,5,7}:{(2,1),(21,1),(23,1),(24,1),(63,1),(75,1),(137,1),(213,1)}
        10:{1,3,6}:{(2,1),(3,1),(24,1),(216,1),(220,1)}
        11:{1,2,5,6}:{(3,1),(20,1),(25,1),(66,1),(75,1),(141,1),(145,1),(204,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(27,1),(28,1),(29,1),(85,1),(111,1),(191,1),(232,1),(241,1),(245,1)}
        13:{1,2,4,6}:{(4,1),(29,1),(30,1),(36,1),(84,1),(89,1),(99,1),(182,1),(230,1),(306,1)}
        14:{1,3,4,6,7}:{(6,1),(31,1),(32,1),(91,1),(92,1),(173,1),(175,1),(176,1),(241,1)}
        15:{2,3,5,7}:{(5,1),(33,1),(34,1),(35,1),(98,1),(188,1),(232,1),(241,1),(245,1),(250,1),(281,1)}
        16:{1,4,5,7}:{(5,1),(34,1),(36,1),(42,1),(83,1),(94,1),(113,1),(167,1),(175,1),(180,1)}
        17:{2,4,6}:{(5,1),(6,1),(35,1),(36,1),(37,1),(99,1)}
        18:{1,3,5,6}:{(6,1),(32,1),(37,1),(38,1),(44,1),(85,1),(103,1)}
        19:{1,3,6,7}:{(7,1),(10,1),(40,1),(41,1),(241,1),(292,1)}
        20:{1,2,5,7}:{(7,1),(11,1),(41,1),(94,1),(106,1),(174,1),(293,1)}
        21:{2,4,7}:{(8,1),(9,1),(42,1),(43,1),(244,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(43,1),(44,1),(48,1),(117,1)}
        23:{1,3,5,7}:{(9,1),(42,1),(45,1),(46,1),(111,1),(113,1),(191,1)}
        24:{2,3,6}:{(9,1),(10,1),(43,1),(46,1),(99,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(41,1),(44,1),(47,1),(48,1),(235,1),(255,1),(256,1),(292,1)}
        26:{1,2,4,6,7}:{(13,1),(49,1),(50,1),(58,1),(118,1),(122,1),(132,1),(210,1)}
        27:{1,3,4,7}:{(12,1),(51,1),(52,1),(122,1),(202,1),(224,1),(270,1)}
        28:{2,3,5,7}:{(12,1),(51,1),(53,1),(54,1),(63,1),(125,1),(137,1),(213,1)}
        29:{1,3,6}:{(12,1),(13,1),(54,1),(216,1),(258,1)}
        30:{1,2,5,6}:{(13,1),(50,1),(55,1),(66,1),(125,1),(141,1),(153,1),(196,1),(301,1)}
        31:{2,4,6,7}:{(14,1),(17,1),(57,1),(58,1),(59,1),(132,1),(134,1),(210,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(59,1),(60,1),(136,1)}
        33:{2,3,4,7}:{(15,1),(21,1),(51,1),(61,1),(62,1),(134,1),(137,1),(151,1),(202,1),(223,1),(261,1),(268,1),(270,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(61,1),(63,1),(64,1),(139,1),(275,1),(297,1)}
        35:{2,3,6}:{(15,1),(17,1),(64,1),(216,1),(220,1),(258,1),(274,1),(296,1)}
        36:{1,4,6}:{(16,1),(17,1),(64,1),(66,1)}
        37:{2,5,6}:{(17,1),(18,1),(59,1),(66,1),(75,1),(125,1)}
        38:{1,4,5,6}:{(18,1),(60,1),(67,1),(76,1),(126,1),(142,1),(146,1),(197,1),(218,1)}
        39:{1,3,4,6,7}:{(19,1),(22,1),(68,1),(69,1),(72,1),(146,1),(151,1),(220,1)}
        40:{2,3,6,7}:{(19,1),(24,1),(68,1),(70,1),(71,1),(132,1),(220,1),(274,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(25,1),(71,1),(72,1),(275,1),(276,1)}
        42:{1,4,7}:{(21,1),(23,1),(74,1),(224,1)}
        43:{2,4,6}:{(21,1),(22,1),(24,1),(74,1),(75,1)}
        44:{1,3,5}:{(22,1),(75,1),(76,1),(155,1)}
        45:{1,2,5,7}:{(23,1),(63,1),(73,1),(77,1),(153,1),(297,1)}
        46:{1,3,6}:{(23,1),(24,1),(74,1),(77,1)}
        47:{2,3,5,6}:{(24,1),(25,1),(71,1),(75,1),(78,1),(79,1),(141,1),(145,1),(155,1),(213,1),(216,1),(220,1),(226,1),(227,1),(274,1)}
        48:{1,4,6}:{(25,1),(72,1),(76,1),(79,1),(262,1)}
        49:{1,3,6,7}:{(26,1),(29,1),(81,1),(82,1),(241,1),(306,1)}
        50:{1,2,5,7}:{(26,1),(30,1),(82,1),(94,1),(160,1),(174,1),(307,1)}
        51:{2,4,7}:{(27,1),(28,1),(83,1),(84,1),(244,1)}
        52:{1,3,4,6}:{(27,1),(29,1),(84,1),(85,1),(89,1),(171,1)}
        53:{1,3,5,7}:{(28,1),(83,1),(86,1),(87,1),(165,1),(167,1),(235,1)}
        54:{2,3,6}:{(28,1),(29,1),(84,1),(87,1),(99,1)}
        55:{1,3,5,6}:{(29,1),(30,1),(82,1),(85,1),(88,1),(89,1),(191,1),(286,1),(287,1),(306,1)}
        56:{1,3,5,6,7}:{(32,1),(90,1),(91,1),(104,1),(158,1),(173,1)}
        57:{2,3,6,7}:{(31,1),(35,1),(92,1),(93,1),(173,1),(240,1),(241,1)}
        58:{1,4,6,7}:{(31,1),(36,1),(92,1),(94,1),(175,1)}
        59:{2,5,7}:{(31,1),(32,1),(37,1),(94,1)}
        60:{1,4,5,7}:{(32,1),(38,1),(91,1),(95,1),(175,1),(243,1)}
        61:{1,3,4,7}:{(33,1),(34,1),(42,1),(83,1),(96,1),(97,1),(111,1),(165,1),(175,1),(241,1),(252,1),(283,1),(288,1)}
        62:{2,3,4,6}:{(33,1),(35,1),(43,1),(84,1),(97,1),(98,1),(101,1),(117,1),(171,1),(178,1),(195,1),(239,1),(244,1),(247,1),(289,1)}
        63:{2,5,7}:{(34,1),(96,1),(99,1),(179,1)}
        64:{1,3,6}:{(34,1),(35,1),(36,1),(99,1),(292,1),(306,1)}
        65:{2,3,5,6}:{(35,1),(37,1),(93,1),(98,1),(100,1),(101,1),(103,1),(184,1),(247,1)}
        66:{1,5,6}:{(36,1),(37,1),(94,1),(113,1),(167,1)}
        67:{2,4,5,6}:{(37,1),(38,1),(95,1),(101,1),(102,1),(103,1),(114,1),(168,1),(182,1),(184,1),(186,1),(230,1)}
        68:{2,4,6,7}:{(39,1),(40,1),(43,1),(105,1),(106,1),(110,1),(186,1)}
        69:{1,3,5,7}:{(39,1),(44,1),(104,1),(106,1),(107,1),(188,1)}
        70:{1,3,6,7}:{(40,1),(46,1),(105,1),(108,1),(109,1),(249,1)}
        71:{2,3,5,7}:{(40,1),(41,1),(47,1),(106,1),(109,1),(110,1),(174,1),(188,1),(241,1),(250,1),(251,1)}
        72:{1,4,7}:{(41,1),(48,1),(110,1)}
        73:{1,2,4,7}:{(42,1),(45,1),(96,1),(111,1),(112,1),(283,1),(307,1)}
        74:{1,4,6}:{(42,1),(43,1),(46,1),(113,1)}
        75:{2,5}:{(43,1),(44,1),(113,1)}
        76:{1,4,5}:{(44,1),(48,1),(114,1),(255,1)}
        77:{1,2,6}:{(45,1),(46,1),(99,1),(306,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(109,1),(113,1),(115,1),(116,1),(185,1),(191,1),(193,1),(194,1),(249,1)}
        79:{2,4,6}:{(47,1),(48,1),(110,1),(114,1),(116,1),(117,1),(244,1)}
        80:{1,3,4,6,7}:{(49,1),(52,1),(118,1),(119,1),(122,1),(197,1),(202,1),(258,1)}
        81:{2,3,6,7}:{(49,1),(54,1),(118,1),(120,1),(121,1),(132,1),(258,1),(296,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(55,1),(121,1),(122,1),(297,1),(298,1)}
        83:{1,4,7}:{(51,1),(53,1),(124,1),(262,1)}
        84:{2,4,6}:{(51,1),(52,1),(54,1),(124,1),(125,1)}
        85:{1,3,5}:{(52,1),(125,1),(126,1),(206,1)}
        86:{1,2,5,7}:{(53,1),(63,1),(123,1),(127,1),(204,1),(275,1)}
        87:{1,3,6}:{(53,1),(54,1),(124,1),(127,1)}
        88:{2,3,5,6}:{(54,1),(55,1),(121,1),(125,1),(128,1),(129,1),(141,1),(196,1),(206,1),(213,1),(216,1),(258,1),(264,1),(265,1),(296,1)}
        89:{1,4,6}:{(55,1),(122,1),(126,1),(129,1),(224,1)}
        90:{2,5,6,7}:{(56,1),(59,1),(130,1),(131,1),(145,1),(196,1)}
        91:{1,4,6,7}:{(56,1),(60,1),(131,1),(146,1),(197,1),(267,1)}
        92:{1,3,6,7}:{(57,1),(58,1),(64,1),(132,1),(133,1),(267,1)}
        93:{2,3,5,7}:{(57,1),(59,1),(65,1),(133,1),(134,1),(136,1),(212,1),(268,1)}
        94:{1,5,7}:{(58,1),(59,1),(66,1)}
        95:{2,4,5,7}:{(59,1),(60,1),(67,1),(131,1),(134,1),(135,1),(136,1),(210,1),(212,1)}
        96:{2,4,7}:{(61,1),(63,1),(137,1),(138,1),(302,1)}
        97:{1,3,4,6}:{(61,1),(62,1),(64,1),(74,1),(124,1),(138,1),(139,1),(142,1),(152,1),(203,1),(216,1),(224,1),(228,1),(262,1),(266,1),(270,1),(273,1),(303,1)}
        98:{2,3,5}:{(62,1),(75,1),(125,1),(139,1),(140,1),(155,1),(206,1),(226,1),(264,1)}
        99:{2,6}:{(63,1),(64,1)}
       100:{1,3,5,6}:{(64,1),(65,1),(66,1),(133,1),(139,1),(141,1),(142,1),(216,1),(218,1),(273,1)}
       101:{2,4,6}:{(65,1),(134,1),(140,1),(142,1),(143,1)}
       102:{1,4,5,6}:{(66,1),(67,1),(135,1),(142,1),(144,1),(154,1),(205,1),(219,1),(257,1)}
       103:{3,5,6}:{(67,1),(136,1),(143,1),(155,1),(206,1),(216,1),(220,1),(258,1)}
       104:{1,3,5,6}:{(69,1),(145,1),(146,1),(220,1)}
       105:{1,4,6,7}:{(68,1),(70,1),(74,1),(147,1),(150,1),(219,1)}
       106:{2,5,7}:{(68,1),(69,1),(75,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(69,1),(72,1),(76,1),(146,1),(148,1),(275,1)}
       108:{1,2,6,7}:{(70,1),(77,1),(132,1),(149,1),(267,1),(274,1)}
       109:{1,3,5,7}:{(70,1),(71,1),(78,1),(147,1),(149,1),(150,1),(222,1)}
       110:{2,4,7}:{(71,1),(72,1),(79,1),(150,1),(151,1)}
       111:{1,3,7}:{(73,1),(137,1),(152,1)}
       112:{1,2,4,6}:{(73,1),(74,1),(77,1),(138,1),(152,1),(153,1),(224,1),(266,1),(301,1),(312,1)}
       113:{1,5}:{(74,1),(75,1)}
       114:{2,4,5}:{(75,1),(76,1),(79,1),(154,1),(155,1),(226,1)}
       115:{1,2,5,6}:{(77,1),(78,1),(141,1),(149,1),(153,1),(156,1),(218,1),(226,1),(274,1)}
       116:{1,4,6}:{(78,1),(79,1),(150,1),(154,1),(224,1)}
       117:{3,4,6}:{(79,1),(151,1),(155,1),(216,1),(220,1),(270,1)}
       118:{2,4,6,7}:{(80,1),(81,1),(84,1),(159,1),(160,1),(164,1),(230,1)}
       119:{1,3,5,7}:{(80,1),(85,1),(158,1),(160,1),(161,1),(232,1)}
       120:{1,3,6,7}:{(81,1),(87,1),(159,1),(162,1),(163,1),(280,1)}
       121:{2,3,5,7}:{(81,1),(82,1),(88,1),(160,1),(163,1),(164,1),(174,1),(232,1),(241,1),(281,1),(282,1)}
       122:{1,4,7}:{(82,1),(89,1),(164,1)}
       123:{1,2,4,7}:{(83,1),(86,1),(96,1),(165,1),(166,1),(252,1),(293,1)}
       124:{1,4,6}:{(83,1),(84,1),(87,1),(167,1)}
       125:{2,5}:{(84,1),(85,1),(167,1)}
       126:{1,4,5}:{(85,1),(89,1),(168,1),(286,1)}
       127:{1,2,6}:{(86,1),(87,1),(99,1),(292,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(163,1),(167,1),(169,1),(170,1),(229,1),(235,1),(237,1),(238,1),(280,1)}
       129:{2,4,6}:{(88,1),(89,1),(164,1),(168,1),(170,1),(171,1),(244,1)}
       130:{1,5,6,7}:{(90,1),(94,1),(172,1),(185,1),(229,1)}
       131:{2,4,6,7}:{(90,1),(91,1),(95,1),(172,1),(173,1),(186,1),(230,1),(240,1)}
       132:{2,6,7}:{(92,1),(99,1),(174,1)}
       133:{1,3,5,7}:{(92,1),(93,1),(94,1),(100,1),(174,1),(175,1),(241,1),(243,1),(288,1)}
       134:{2,4,7}:{(93,1),(101,1),(175,1),(176,1)}
       135:{1,4,5,7}:{(94,1),(95,1),(102,1),(172,1),(175,1),(177,1)}
       136:{3,5,7}:{(95,1),(103,1),(173,1),(176,1),(241,1)}
       137:{2,3,7}:{(96,1),(111,1),(165,1),(178,1),(241,1)}
       138:{2,4,6}:{(96,1),(97,1),(99,1),(178,1),(179,1),(244,1),(291,1),(310,1)}
       139:{1,3,5}:{(97,1),(98,1),(113,1),(167,1),(179,1),(180,1),(245,1),(255,1),(286,1)}
       140:{2,4,5}:{(98,1),(101,1),(180,1),(181,1),(244,1)}
       141:{2,5,6}:{(99,1),(100,1),(174,1),(179,1),(182,1),(291,1)}
       142:{1,4,6}:{(100,1),(101,1),(175,1),(180,1),(182,1)}
       143:{3,4,6}:{(101,1),(103,1),(176,1),(181,1)}
       144:{1,3,5,6}:{(102,1),(103,1),(177,1),(183,1),(184,1),(193,1),(237,1),(249,1),(280,1)}
       145:{2,5,6}:{(104,1),(106,1),(185,1),(186,1)}
       146:{1,4,6}:{(104,1),(107,1),(186,1),(292,1)}
       147:{1,5,7}:{(105,1),(106,1),(113,1),(185,1)}
       148:{2,4,5,7}:{(106,1),(107,1),(110,1),(114,1),(186,1),(187,1),(188,1),(250,1)}
       149:{1,2,5,7}:{(108,1),(109,1),(115,1),(174,1),(189,1),(243,1),(250,1)}
       150:{1,4,7}:{(109,1),(110,1),(116,1)}
       151:{3,4,7}:{(110,1),(117,1),(188,1),(241,1)}
       152:{1,3,6}:{(111,1),(112,1),(178,1),(191,1),(314,1)}
       153:{1,2,5}:{(112,1),(113,1),(179,1),(191,1),(286,1)}
       154:{1,4,5}:{(113,1),(114,1),(116,1),(193,1)}
       155:{3,5}:{(114,1),(117,1)}
       156:{1,2,4,6}:{(115,1),(116,1),(182,1),(189,1),(192,1),(194,1),(195,1),(248,1),(291,1)}
       157:{1,3,4,6}:{(116,1),(117,1),(190,1),(193,1),(194,1),(195,1),(249,1),(253,1)}
       158:{1,3,5,6}:{(119,1),(196,1),(197,1),(258,1)}
       159:{1,4,6,7}:{(118,1),(120,1),(124,1),(198,1),(201,1),(257,1)}
       160:{2,5,7}:{(118,1),(119,1),(125,1),(196,1),(198,1)}
       161:{1,4,5,7}:{(119,1),(122,1),(126,1),(197,1),(199,1),(297,1)}
       162:{1,2,6,7}:{(120,1),(127,1),(132,1),(200,1),(267,1),(296,1)}
       163:{1,3,5,7}:{(120,1),(121,1),(128,1),(198,1),(200,1),(201,1),(260,1)}
       164:{2,4,7}:{(121,1),(122,1),(129,1),(201,1),(202,1)}
       165:{1,3,7}:{(123,1),(137,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(127,1),(138,1),(203,1),(204,1),(228,1),(262,1),(279,1),(305,1)}
       167:{1,5}:{(124,1),(125,1)}
       168:{2,4,5}:{(125,1),(126,1),(129,1),(205,1),(206,1),(264,1)}
       169:{1,2,5,6}:{(127,1),(128,1),(141,1),(200,1),(204,1),(207,1),(218,1),(264,1),(296,1)}
       170:{1,4,6}:{(128,1),(129,1),(201,1),(205,1),(262,1)}
       171:{3,4,6}:{(129,1),(202,1),(206,1),(216,1),(258,1),(270,1)}
       172:{1,4,6,7}:{(130,1),(131,1),(135,1),(209,1),(219,1),(257,1)}
       173:{3,6,7}:{(131,1),(136,1),(220,1),(258,1)}
       174:{2,5,7}:{(132,1),(133,1),(141,1),(210,1),(302,1)}
       175:{1,4,7}:{(133,1),(134,1),(142,1),(210,1)}
       176:{3,4,7}:{(134,1),(136,1),(143,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(144,1),(209,1),(211,1),(212,1)}
       178:{2,3,6}:{(137,1),(138,1),(152,1),(203,1),(213,1),(216,1),(313,1)}
       179:{2,5}:{(138,1),(139,1)}
       180:{1,4,5}:{(139,1),(140,1),(142,1),(214,1),(224,1),(262,1)}
       181:{3,4,5}:{(140,1),(143,1),(155,1),(206,1),(270,1)}
       182:{2,4,6}:{(141,1),(142,1),(210,1),(214,1),(216,1)}
       183:{1,3,4,6}:{(142,1),(143,1),(144,1),(211,1),(215,1),(216,1),(217,1),(273,1)}
       184:{2,5,6}:{(144,1),(212,1),(217,1),(218,1),(226,1),(264,1),(274,1),(296,1)}
       185:{1,5,6}:{(145,1),(147,1),(219,1)}
       186:{2,4,6}:{(145,1),(146,1),(148,1),(219,1),(220,1),(274,1)}
       187:{1,4,5,7}:{(147,1),(148,1),(150,1),(154,1),(219,1),(221,1)}
       188:{3,5,7}:{(148,1),(151,1),(155,1),(220,1)}
       189:{1,2,4,7}:{(149,1),(150,1),(156,1),(210,1),(222,1),(223,1),(269,1),(302,1)}
       190:{1,3,4,7}:{(150,1),(151,1),(157,1),(221,1),(222,1),(223,1)}
       191:{1,3,5}:{(152,1),(153,1),(213,1),(224,1)}
       192:{1,2,4,5}:{(153,1),(154,1),(156,1),(214,1),(224,1),(225,1),(226,1),(272,1),(277,1),(304,1),(312,1)}
       193:{1,3,5}:{(154,1),(155,1),(157,1),(226,1)}
       194:{1,3,6}:{(156,1),(216,1),(222,1),(225,1),(227,1)}
       195:{2,4,6}:{(157,1),(223,1),(226,1),(227,1),(228,1),(274,1),(277,1)}
       196:{2,5,6}:{(158,1),(160,1),(229,1),(230,1)}
       197:{1,4,6}:{(158,1),(161,1),(230,1),(306,1)}
       198:{1,5,7}:{(159,1),(160,1),(167,1),(229,1)}
       199:{2,4,5,7}:{(160,1),(161,1),(164,1),(168,1),(230,1),(231,1),(232,1),(281,1)}
       200:{1,2,5,7}:{(162,1),(163,1),(169,1),(174,1),(233,1),(243,1),(281,1)}
       201:{1,4,7}:{(163,1),(164,1),(170,1)}
       202:{3,4,7}:{(164,1),(171,1),(232,1),(241,1)}
       203:{1,3,6}:{(165,1),(166,1),(178,1),(235,1),(311,1)}
       204:{1,2,5}:{(166,1),(167,1),(179,1),(235,1),(255,1)}
       205:{1,4,5}:{(167,1),(168,1),(170,1),(237,1)}
       206:{3,5}:{(168,1),(171,1)}
       207:{1,2,4,6}:{(169,1),(170,1),(182,1),(233,1),(236,1),(238,1),(239,1),(248,1),(291,1)}
       208:{1,3,4,6}:{(170,1),(171,1),(234,1),(237,1),(238,1),(239,1),(280,1),(284,1)}
       209:{1,3,6,7}:{(172,1),(173,1),(177,1),(240,1),(249,1),(280,1)}
       210:{2,4,7}:{(174,1),(175,1),(182,1),(241,1)}
       211:{1,3,4,7}:{(175,1),(176,1),(177,1),(183,1),(241,1),(242,1),(288,1)}
       212:{2,5,7}:{(177,1),(184,1),(240,1),(242,1),(243,1)}
       213:{2,3,5}:{(178,1),(179,1),(191,1),(235,1),(244,1),(245,1)}
       214:{2,4,5}:{(179,1),(180,1),(182,1),(244,1),(245,1)}
       215:{1,3,4,5}:{(180,1),(181,1),(183,1),(193,1),(237,1),(245,1),(246,1),(253,1),(284,1),(290,1)}
       216:{3,6}:{(182,1),(241,1),(245,1)}
       217:{2,4,6}:{(183,1),(184,1),(242,1),(246,1),(247,1),(248,1),(291,1)}
       218:{1,5,6}:{(184,1),(243,1),(248,1),(255,1),(286,1),(292,1),(306,1)}
       219:{1,4,6}:{(185,1),(186,1),(187,1),(249,1)}
       220:{3,6}:{(186,1),(188,1)}
       221:{1,3,5,7}:{(187,1),(188,1),(190,1),(193,1),(249,1),(250,1)}
       222:{1,3,7}:{(189,1),(194,1),(241,1),(251,1)}
       223:{2,4,7}:{(190,1),(195,1),(250,1),(251,1),(252,1)}
       224:{1,4}:{(191,1),(244,1)}
       225:{1,3,5}:{(192,1),(194,1),(245,1),(253,1),(254,1),(314,1)}
       226:{2,5}:{(193,1),(195,1),(255,1)}
       227:{2,3,6}:{(194,1),(195,1),(251,1),(254,1),(256,1),(291,1)}
       228:{1,4,6}:{(195,1),(252,1),(255,1),(256,1),(292,1),(294,1)}
       229:{1,5,6}:{(196,1),(198,1),(257,1)}
       230:{2,4,6}:{(196,1),(197,1),(199,1),(257,1),(258,1),(296,1)}
       231:{1,4,5,7}:{(198,1),(199,1),(201,1),(205,1),(257,1),(259,1)}
       232:{3,5,7}:{(199,1),(202,1),(206,1),(258,1)}
       233:{1,2,4,7}:{(200,1),(201,1),(207,1),(210,1),(260,1),(261,1),(269,1),(302,1)}
       234:{1,3,4,7}:{(201,1),(202,1),(208,1),(259,1),(260,1),(261,1)}
       235:{1,3,5}:{(203,1),(204,1),(213,1),(262,1)}
       236:{1,2,4,5}:{(204,1),(205,1),(207,1),(214,1),(262,1),(263,1),(264,1),(272,1),(299,1),(304,1),(305,1)}
       237:{1,3,5}:{(205,1),(206,1),(208,1),(264,1)}
       238:{1,3,6}:{(207,1),(216,1),(260,1),(263,1),(265,1)}
       239:{2,4,6}:{(208,1),(261,1),(264,1),(265,1),(266,1),(296,1),(299,1)}
       240:{2,6,7}:{(209,1),(212,1),(267,1),(274,1),(296,1)}
       241:{3,7}:{(210,1),(216,1)}
       242:{2,4,7}:{(211,1),(212,1),(217,1),(268,1),(269,1),(302,1)}
       243:{1,5,7}:{(212,1),(218,1),(267,1),(269,1)}
       244:{2,4}:{(213,1),(224,1),(262,1),(270,1)}
       245:{3,5}:{(214,1),(216,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(226,1),(264,1),(271,1),(272,1),(277,1),(299,1),(304,1)}
       247:{2,3,6}:{(216,1),(217,1),(268,1),(271,1),(273,1)}
       248:{1,4,6}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       249:{1,3,6}:{(219,1),(220,1),(221,1),(274,1)}
       250:{2,5,7}:{(221,1),(223,1),(226,1),(274,1),(275,1)}
       251:{2,3,7}:{(222,1),(223,1),(227,1),(276,1),(302,1)}
       252:{1,4,7}:{(223,1),(228,1),(275,1),(276,1)}
       253:{1,3,4}:{(224,1),(225,1),(270,1),(277,1)}
       254:{2,3,5}:{(225,1),(226,1),(227,1),(277,1),(278,1),(304,1),(313,1)}
       255:{1,5}:{(226,1),(228,1)}
       256:{1,3,6}:{(227,1),(228,1),(276,1),(278,1),(279,1)}
       257:{1,4,6}:{(229,1),(230,1),(231,1),(280,1)}
       258:{3,6}:{(230,1),(232,1)}
       259:{1,3,5,7}:{(231,1),(232,1),(234,1),(237,1),(280,1),(281,1)}
       260:{1,3,7}:{(233,1),(238,1),(241,1),(282,1)}
       261:{2,4,7}:{(234,1),(239,1),(281,1),(282,1),(283,1)}
       262:{1,4}:{(235,1),(244,1)}
       263:{1,3,5}:{(236,1),(238,1),(245,1),(284,1),(285,1),(311,1)}
       264:{2,5}:{(237,1),(239,1),(286,1)}
       265:{2,3,6}:{(238,1),(239,1),(282,1),(285,1),(287,1),(291,1)}
       266:{1,4,6}:{(239,1),(283,1),(286,1),(287,1),(306,1),(308,1)}
       267:{1,6,7}:{(240,1),(243,1),(292,1),(306,1)}
       268:{2,3,7}:{(241,1),(242,1),(247,1),(288,1)}
       269:{1,4,7}:{(242,1),(243,1),(248,1),(288,1)}
       270:{3,4}:{(244,1),(245,1)}
       271:{2,3,5}:{(245,1),(246,1),(247,1),(289,1),(290,1)}
       272:{1,4,5}:{(246,1),(248,1),(255,1),(286,1),(290,1),(294,1),(308,1)}
       273:{1,3,6}:{(247,1),(248,1),(288,1),(290,1),(291,1)}
       274:{2,6}:{(249,1),(250,1),(292,1)}
       275:{1,5,7}:{(250,1),(252,1),(255,1),(292,1)}
       276:{1,3,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{2,4}:{(253,1),(254,1),(294,1)}
       278:{1,3,5}:{(254,1),(255,1),(256,1),(294,1),(295,1),(311,1)}
       279:{1,2,6}:{(256,1),(291,1),(293,1),(295,1)}
       280:{1,3,6}:{(257,1),(258,1),(259,1),(296,1)}
       281:{2,5,7}:{(259,1),(261,1),(264,1),(296,1),(297,1)}
       282:{2,3,7}:{(260,1),(261,1),(265,1),(298,1),(302,1)}
       283:{1,4,7}:{(261,1),(266,1),(297,1),(298,1)}
       284:{1,3,4}:{(262,1),(263,1),(270,1),(299,1)}
       285:{2,3,5}:{(263,1),(264,1),(265,1),(299,1),(300,1),(304,1),(313,1)}
       286:{1,5}:{(264,1),(266,1)}
       287:{1,3,6}:{(265,1),(266,1),(298,1),(300,1),(301,1)}
       288:{1,3,7}:{(268,1),(269,1),(273,1),(302,1)}
       289:{2,3,4}:{(270,1),(271,1),(277,1),(299,1),(303,1),(313,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(303,1),(304,1)}
       291:{2,6}:{(273,1),(302,1),(304,1)}
       292:{1,6}:{(274,1),(275,1)}
       293:{1,2,7}:{(276,1),(279,1),(302,1)}
       294:{1,4}:{(277,1),(278,1)}
       295:{1,2,5}:{(278,1),(279,1),(304,1),(305,1)}
       296:{2,6}:{(280,1),(281,1),(306,1)}
       297:{1,5,7}:{(281,1),(283,1),(286,1),(306,1)}
       298:{1,3,7}:{(282,1),(283,1),(287,1),(307,1)}
       299:{2,4}:{(284,1),(285,1),(308,1)}
       300:{1,3,5}:{(285,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(287,1),(291,1),(307,1),(309,1)}
       302:{2,7}:{(288,1),(291,1)}
       303:{1,3,4}:{(289,1),(290,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(290,1),(291,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1508 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(24,1),(31,1),(33,1),(39,1),(75,1),(76,1),(83,1),(132,1),(156,1),(194,1),(201,1),(203,1),(256,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(31,1),(66,1),(124,1),(194,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(25,1),(31,1),(37,1),(82,1),(91,1)}
         3:{1,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(47,1),(64,1),(166,1),(225,1),(230,1),(233,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(13,1),(46,1),(51,1),(58,1),(62,1),(114,1),(184,1),(189,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(14,1),(15,1),(189,1),(225,1)}
         6:{1,2,5,7}:{(1,1),(13,1),(15,1),(20,1),(96,1),(159,1),(239,1)}
         7:{1,3,4,5,7}:{(10,1),(16,1),(17,1),(21,1),(41,1),(47,1),(55,1),(64,1),(117,1),(160,1),(161,1),(170,1),(171,1),(186,1),(225,1),(228,1),(233,1),(274,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(46,1),(54,1),(62,1)}
         9:{1,3,5,7}:{(2,1),(18,1),(20,1),(21,1),(47,1),(64,1)}
        10:{1,3,4,7}:{(3,1),(24,1),(25,1),(31,1),(82,1),(256,1),(258,1)}
        11:{2,3,5,7}:{(3,1),(24,1),(26,1),(27,1),(75,1),(83,1),(133,1),(202,1)}
        12:{1,3,6}:{(3,1),(4,1),(27,1),(91,1),(216,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(28,1),(36,1),(75,1),(88,1),(149,1),(201,1),(263,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(27,1),(29,1),(30,1),(91,1),(124,1),(155,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(31,1),(156,1),(210,1)}
        16:{2,4,5,7}:{(7,1),(24,1),(32,1),(33,1),(34,1),(67,1),(75,1),(83,1),(126,1),(136,1),(147,1),(194,1),(203,1),(214,1)}
        17:{1,3,4,6}:{(7,1),(34,1),(35,1),(37,1),(84,1),(91,1),(150,1),(151,1),(216,1),(255,1),(290,1)}
        18:{1,3,5,6}:{(9,1),(36,1),(37,1),(91,1)}
        19:{1,4,6,7}:{(8,1),(29,1),(38,1),(74,1),(81,1),(90,1)}
        20:{2,5,7}:{(8,1),(9,1),(36,1),(38,1),(75,1)}
        21:{1,4,5,7}:{(9,1),(31,1),(37,1),(39,1),(76,1),(156,1)}
        22:{1,3,4,6,7}:{(17,1),(40,1),(41,1),(43,1),(93,1),(99,1),(160,1),(161,1),(225,1)}
        23:{1,3,5,6,7}:{(18,1),(41,1),(42,1),(43,1),(99,1),(227,1)}
        24:{2,4,7}:{(10,1),(11,1),(45,1),(46,1),(232,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(46,1),(47,1),(51,1),(109,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(103,1),(105,1),(172,1)}
        27:{2,3,6}:{(11,1),(12,1),(46,1),(49,1),(114,1)}
        28:{1,3,5,6}:{(12,1),(13,1),(15,1),(47,1),(50,1),(51,1),(189,1),(230,1),(237,1),(238,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(49,1),(52,1),(53,1),(122,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(20,1),(50,1),(53,1),(54,1),(64,1),(123,1),(159,1),(177,1),(225,1)}
        31:{1,4,7}:{(15,1),(51,1),(54,1)}
        32:{2,3,5,7}:{(16,1),(44,1),(55,1),(56,1),(64,1),(102,1),(123,1),(225,1),(233,1),(274,1),(301,1)}
        33:{1,4,5,7}:{(16,1),(45,1),(55,1),(58,1),(96,1),(105,1),(160,1),(170,1),(179,1),(240,1)}
        34:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(59,1),(114,1)}
        35:{1,3,5,6}:{(17,1),(41,1),(47,1),(59,1),(60,1),(121,1),(186,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1),(62,1)}
        37:{1,4,6}:{(18,1),(21,1),(62,1),(189,1)}
        38:{1,5,7}:{(19,1),(20,1),(61,1),(105,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(54,1),(62,1),(63,1),(64,1),(106,1),(123,1)}
        40:{2,4,6,7}:{(22,1),(34,1),(65,1),(66,1),(67,1),(124,1),(126,1),(194,1)}
        41:{1,3,5,7}:{(22,1),(35,1),(67,1),(68,1),(130,1)}
        42:{2,5,6,7}:{(23,1),(36,1),(67,1),(69,1),(70,1),(250,1)}
        43:{1,4,6,7}:{(23,1),(37,1),(68,1),(70,1),(199,1),(255,1)}
        44:{2,3,4,7}:{(24,1),(32,1),(71,1),(72,1),(82,1),(126,1),(133,1),(144,1),(147,1),(252,1),(253,1),(258,1),(288,1)}
        45:{1,4,7}:{(24,1),(26,1),(74,1),(205,1)}
        46:{2,4,6}:{(24,1),(25,1),(27,1),(74,1),(75,1)}
        47:{1,3,5}:{(25,1),(75,1),(76,1),(140,1)}
        48:{1,2,5,7}:{(26,1),(73,1),(77,1),(83,1),(138,1),(310,1)}
        49:{1,3,6}:{(26,1),(27,1),(74,1),(77,1)}
        50:{2,3,5,6}:{(27,1),(28,1),(30,1),(36,1),(75,1),(78,1),(79,1),(91,1),(140,1),(149,1),(155,1),(202,1),(207,1),(208,1),(216,1)}
        51:{1,4,6}:{(28,1),(31,1),(76,1),(79,1),(256,1)}
        52:{1,2,6,7}:{(29,1),(77,1),(80,1),(124,1),(155,1),(199,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(38,1),(78,1),(80,1),(81,1),(143,1)}
        54:{2,4,7}:{(30,1),(31,1),(79,1),(81,1),(82,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(71,1),(83,1),(84,1),(135,1),(156,1),(310,1)}
        56:{2,3,6}:{(32,1),(34,1),(84,1),(91,1),(155,1),(216,1),(290,1),(309,1)}
        57:{1,2,4,5,7}:{(33,1),(73,1),(83,1),(86,1),(87,1),(128,1),(138,1),(147,1),(194,1),(197,1),(203,1),(205,1),(214,1),(218,1),(251,1),(310,1)}
        58:{1,4,6}:{(33,1),(34,1),(84,1),(88,1)}
        59:{2,5,6}:{(34,1),(35,1),(67,1),(75,1),(88,1),(214,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(68,1),(76,1),(89,1),(150,1),(218,1),(219,1),(255,1)}
        61:{1,5,6}:{(36,1),(38,1),(90,1)}
        62:{2,4,6}:{(36,1),(37,1),(39,1),(90,1),(91,1),(155,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(81,1),(90,1),(92,1),(139,1)}
        64:{3,5,7}:{(39,1),(82,1),(91,1),(140,1)}
        65:{2,3,6,7}:{(40,1),(56,1),(93,1),(94,1),(99,1),(165,1),(225,1)}
        66:{1,4,6,7}:{(40,1),(58,1),(93,1),(96,1),(160,1)}
        67:{2,5,7}:{(40,1),(41,1),(59,1),(96,1)}
        68:{1,4,5,7}:{(41,1),(43,1),(60,1),(97,1),(160,1),(229,1)}
        69:{1,5,6,7}:{(42,1),(61,1),(96,1),(98,1),(269,1)}
        70:{2,4,6,7}:{(42,1),(43,1),(62,1),(97,1),(98,1),(99,1),(165,1),(273,1)}
        71:{1,3,4,7}:{(44,1),(45,1),(55,1),(100,1),(101,1),(103,1),(160,1),(166,1),(178,1),(179,1),(225,1),(275,1),(302,1)}
        72:{2,3,4,6}:{(44,1),(46,1),(56,1),(101,1),(102,1),(109,1),(116,1),(168,1),(176,1),(182,1),(232,1),(244,1),(245,1),(278,1),(283,1)}
        73:{1,2,4,7}:{(45,1),(48,1),(100,1),(103,1),(104,1),(302,1),(303,1)}
        74:{1,4,6}:{(45,1),(46,1),(49,1),(105,1)}
        75:{2,5}:{(46,1),(47,1),(105,1)}
        76:{1,4,5}:{(47,1),(51,1),(106,1),(237,1)}
        77:{1,2,6}:{(48,1),(49,1),(114,1),(313,1)}
        78:{1,3,5,6}:{(49,1),(50,1),(53,1),(61,1),(105,1),(107,1),(108,1),(122,1),(172,1),(174,1),(175,1)}
        79:{2,4,6}:{(50,1),(51,1),(54,1),(106,1),(108,1),(109,1),(232,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(107,1),(110,1),(123,1),(159,1),(229,1)}
        81:{1,4,7}:{(53,1),(54,1),(108,1)}
        82:{3,4,7}:{(54,1),(64,1),(109,1),(225,1)}
        83:{2,5,7}:{(55,1),(100,1),(114,1),(169,1)}
        84:{1,3,6}:{(55,1),(56,1),(58,1),(114,1),(189,1),(313,1)}
        85:{2,3,5,6}:{(56,1),(59,1),(94,1),(102,1),(115,1),(116,1),(121,1),(188,1),(245,1)}
        86:{1,3,5,7}:{(57,1),(103,1),(113,1),(117,1),(118,1),(172,1),(186,1),(225,1),(233,1),(274,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(114,1),(118,1),(119,1),(182,1),(184,1),(187,1),(273,1),(313,1)}
        88:{1,5,6}:{(58,1),(59,1),(96,1),(105,1),(240,1)}
        89:{2,4,5,6}:{(59,1),(60,1),(62,1),(97,1),(106,1),(116,1),(120,1),(121,1),(184,1),(188,1),(243,1),(273,1)}
        90:{1,4,6}:{(61,1),(62,1),(63,1),(122,1)}
        91:{3,6}:{(62,1),(64,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(111,1),(122,1),(123,1),(174,1)}
        93:{1,3,6,7}:{(65,1),(66,1),(84,1),(124,1),(125,1),(199,1)}
        94:{2,3,5,7}:{(65,1),(67,1),(85,1),(125,1),(126,1),(130,1),(198,1),(253,1)}
        95:{1,2,4,6,7}:{(66,1),(87,1),(124,1),(127,1),(128,1),(192,1),(194,1),(197,1)}
        96:{1,5,7}:{(66,1),(67,1),(88,1)}
        97:{2,4,5,7}:{(67,1),(68,1),(70,1),(89,1),(126,1),(129,1),(130,1),(194,1),(198,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(90,1),(129,1),(131,1),(286,1)}
        99:{3,6,7}:{(70,1),(91,1),(130,1),(290,1)}
       100:{2,4,7}:{(71,1),(83,1),(133,1),(134,1),(291,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(74,1),(84,1),(134,1),(135,1),(137,1),(150,1),(200,1),(205,1),(209,1),(211,1),(216,1),(256,1),(258,1),(268,1),(294,1),(298,1)}
       102:{2,3,5}:{(72,1),(75,1),(135,1),(136,1),(140,1),(207,1),(214,1),(267,1),(297,1)}
       103:{1,3,7}:{(73,1),(133,1),(137,1)}
       104:{1,2,4,6}:{(73,1),(74,1),(77,1),(134,1),(137,1),(138,1),(205,1),(298,1),(299,1),(311,1)}
       105:{1,5}:{(74,1),(75,1)}
       106:{2,4,5}:{(75,1),(76,1),(79,1),(139,1),(140,1),(207,1)}
       107:{1,2,5,6}:{(77,1),(78,1),(80,1),(138,1),(141,1),(149,1),(155,1),(207,1),(219,1)}
       108:{1,4,6}:{(78,1),(79,1),(81,1),(139,1),(205,1)}
       109:{3,4,6}:{(79,1),(82,1),(91,1),(140,1),(216,1),(258,1)}
       110:{1,2,4,7}:{(80,1),(81,1),(141,1),(143,1),(144,1),(194,1),(254,1),(291,1)}
       111:{1,3,4,7}:{(81,1),(82,1),(92,1),(142,1),(143,1),(144,1)}
       112:{1,2,5,7}:{(83,1),(132,1),(145,1),(146,1),(156,1),(201,1)}
       113:{2,3,5,7}:{(83,1),(86,1),(133,1),(145,1),(147,1),(148,1),(202,1),(214,1)}
       114:{2,6}:{(83,1),(84,1)}
       115:{1,3,5,6}:{(84,1),(85,1),(88,1),(125,1),(135,1),(149,1),(150,1),(216,1),(219,1),(268,1)}
       116:{2,4,6}:{(85,1),(126,1),(136,1),(150,1),(151,1)}
       117:{1,3,4,7}:{(86,1),(147,1),(152,1),(197,1),(205,1),(252,1),(258,1)}
       118:{1,3,6}:{(86,1),(87,1),(148,1),(216,1),(290,1)}
       119:{1,2,5,6}:{(87,1),(88,1),(128,1),(138,1),(149,1),(153,1),(214,1),(250,1),(299,1)}
       120:{1,4,5,6}:{(88,1),(89,1),(90,1),(129,1),(139,1),(150,1),(154,1),(264,1),(286,1)}
       121:{3,5,6}:{(89,1),(91,1),(130,1),(140,1),(151,1),(216,1),(267,1),(290,1)}
       122:{1,3,6}:{(90,1),(91,1),(92,1),(155,1)}
       123:{2,5,7}:{(92,1),(144,1),(155,1),(156,1),(207,1)}
       124:{2,6,7}:{(93,1),(114,1),(159,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(96,1),(115,1),(159,1),(160,1),(225,1),(229,1),(275,1)}
       126:{2,4,7}:{(94,1),(116,1),(160,1),(161,1)}
       127:{1,3,6,7}:{(95,1),(118,1),(158,1),(163,1),(225,1),(313,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(119,1),(159,1),(163,1),(223,1),(303,1)}
       129:{1,4,5,7}:{(96,1),(97,1),(98,1),(120,1),(160,1),(164,1)}
       130:{3,5,7}:{(97,1),(99,1),(121,1),(161,1),(225,1)}
       131:{1,3,6,7}:{(98,1),(99,1),(122,1),(164,1),(165,1),(300,1)}
       132:{1,2,4,7}:{(100,1),(112,1),(166,1),(167,1),(178,1),(179,1),(239,1)}
       133:{2,3,7}:{(100,1),(103,1),(166,1),(168,1),(225,1)}
       134:{2,4,6}:{(100,1),(101,1),(114,1),(168,1),(169,1),(232,1),(285,1),(306,1)}
       135:{1,3,5}:{(101,1),(102,1),(105,1),(169,1),(170,1),(233,1),(237,1),(240,1),(308,1)}
       136:{2,4,5}:{(102,1),(116,1),(170,1),(171,1),(232,1)}
       137:{1,3,6}:{(103,1),(104,1),(168,1),(172,1),(314,1)}
       138:{1,2,5}:{(104,1),(105,1),(169,1),(172,1),(308,1)}
       139:{1,4,5}:{(105,1),(106,1),(108,1),(174,1)}
       140:{3,5}:{(106,1),(109,1)}
       141:{1,2,4,6}:{(107,1),(108,1),(110,1),(173,1),(175,1),(176,1),(184,1),(246,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(111,1),(122,1),(174,1),(175,1),(176,1),(235,1)}
       143:{1,3,7}:{(110,1),(175,1),(177,1),(225,1)}
       144:{2,4,7}:{(111,1),(123,1),(176,1),(177,1),(178,1)}
       145:{1,3,5,7}:{(112,1),(113,1),(166,1),(179,1),(180,1),(230,1),(240,1)}
       146:{1,2,6}:{(112,1),(114,1),(180,1),(189,1)}
       147:{2,4,7}:{(113,1),(117,1),(179,1),(182,1),(232,1)}
       148:{2,3,6}:{(113,1),(114,1),(118,1),(180,1),(182,1)}
       149:{2,5,6}:{(114,1),(115,1),(159,1),(169,1),(184,1),(285,1)}
       150:{1,4,6}:{(115,1),(116,1),(160,1),(170,1),(184,1)}
       151:{3,4,6}:{(116,1),(121,1),(161,1),(171,1)}
       152:{1,3,4,6}:{(117,1),(118,1),(182,1),(186,1),(187,1),(244,1)}
       153:{1,3,5,6}:{(118,1),(119,1),(163,1),(172,1),(183,1),(186,1),(187,1),(284,1),(308,1),(313,1)}
       154:{1,3,5,6}:{(120,1),(121,1),(122,1),(164,1),(174,1),(185,1),(188,1),(282,1),(300,1)}
       155:{2,6}:{(122,1),(123,1),(189,1)}
       156:{1,5,7}:{(123,1),(178,1),(189,1),(237,1)}
       157:{1,2,6,7}:{(124,1),(146,1),(190,1),(191,1),(199,1),(309,1)}
       158:{2,3,6,7}:{(124,1),(127,1),(148,1),(190,1),(192,1),(193,1),(290,1),(309,1)}
       159:{2,5,7}:{(124,1),(125,1),(149,1),(194,1),(291,1)}
       160:{1,4,7}:{(125,1),(126,1),(150,1),(194,1)}
       161:{3,4,7}:{(126,1),(130,1),(151,1)}
       162:{1,3,4,6,7}:{(127,1),(152,1),(192,1),(196,1),(197,1),(252,1),(255,1),(290,1)}
       163:{1,3,5,7}:{(127,1),(128,1),(153,1),(193,1),(197,1),(289,1),(310,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(131,1),(154,1),(195,1),(198,1)}
       165:{2,6,7}:{(131,1),(155,1),(198,1),(199,1),(309,1)}
       166:{1,3,7}:{(132,1),(133,1),(200,1)}
       167:{1,2,4,6}:{(132,1),(134,1),(146,1),(200,1),(201,1),(209,1),(211,1),(256,1),(263,1),(296,1)}
       168:{2,3,6}:{(133,1),(134,1),(137,1),(200,1),(202,1),(216,1),(312,1)}
       169:{2,5}:{(134,1),(135,1)}
       170:{1,4,5}:{(135,1),(136,1),(150,1),(203,1),(205,1),(256,1)}
       171:{3,4,5}:{(136,1),(140,1),(151,1),(258,1),(267,1)}
       172:{1,3,5}:{(137,1),(138,1),(202,1),(205,1)}
       173:{1,2,4,5}:{(138,1),(139,1),(141,1),(203,1),(205,1),(206,1),(207,1),(260,1),(261,1),(295,1),(311,1)}
       174:{1,3,5}:{(139,1),(140,1),(142,1),(207,1)}
       175:{1,3,6}:{(141,1),(143,1),(206,1),(208,1),(216,1)}
       176:{2,4,6}:{(142,1),(144,1),(155,1),(207,1),(208,1),(209,1),(261,1)}
       177:{2,3,7}:{(143,1),(144,1),(208,1),(210,1),(291,1)}
       178:{1,4,7}:{(144,1),(156,1),(209,1),(210,1)}
       179:{1,4,7}:{(145,1),(147,1),(211,1),(256,1)}
       180:{1,3,6}:{(145,1),(146,1),(148,1),(211,1)}
       181:{1,2,5,6}:{(146,1),(149,1),(191,1),(201,1),(212,1),(213,1),(219,1),(297,1),(309,1)}
       182:{2,4,6}:{(147,1),(148,1),(152,1),(211,1),(214,1)}
       183:{2,3,5,6}:{(148,1),(149,1),(153,1),(193,1),(202,1),(212,1),(214,1),(215,1),(216,1),(250,1),(266,1),(267,1),(290,1),(297,1),(309,1)}
       184:{2,4,6}:{(149,1),(150,1),(194,1),(203,1),(216,1)}
       185:{1,3,4,6}:{(150,1),(151,1),(154,1),(195,1),(204,1),(216,1),(217,1),(268,1)}
       186:{1,3,5}:{(152,1),(214,1),(218,1),(267,1)}
       187:{1,4,6}:{(153,1),(197,1),(205,1),(215,1),(218,1)}
       188:{2,5,6}:{(154,1),(155,1),(198,1),(207,1),(217,1),(219,1),(297,1),(309,1)}
       189:{1,6}:{(155,1),(156,1)}
       190:{1,3,6,7}:{(157,1),(158,1),(180,1),(220,1),(221,1),(300,1)}
       191:{1,2,5,7}:{(157,1),(159,1),(181,1),(221,1),(222,1),(229,1),(301,1)}
       192:{2,4,6,7}:{(158,1),(162,1),(182,1),(220,1),(223,1),(224,1),(273,1)}
       193:{2,3,5,7}:{(158,1),(159,1),(163,1),(183,1),(221,1),(223,1),(224,1),(225,1),(272,1),(274,1),(301,1)}
       194:{2,4,7}:{(159,1),(160,1),(184,1),(225,1)}
       195:{1,3,4,7}:{(160,1),(161,1),(164,1),(185,1),(225,1),(226,1),(275,1)}
       196:{1,3,5,7}:{(162,1),(186,1),(223,1),(227,1),(228,1),(274,1)}
       197:{1,4,7}:{(163,1),(187,1),(224,1)}
       198:{2,5,7}:{(164,1),(165,1),(188,1),(226,1),(229,1)}
       199:{1,6,7}:{(165,1),(189,1),(229,1),(313,1)}
       200:{1,3,6}:{(166,1),(167,1),(168,1),(230,1),(307,1)}
       201:{1,2,5}:{(167,1),(169,1),(230,1),(237,1),(240,1)}
       202:{2,3,5}:{(168,1),(169,1),(172,1),(230,1),(232,1),(233,1)}
       203:{2,4,5}:{(169,1),(170,1),(184,1),(232,1),(233,1)}
       204:{1,3,4,5}:{(170,1),(171,1),(174,1),(185,1),(233,1),(234,1),(235,1),(276,1),(279,1),(282,1)}
       205:{1,4}:{(172,1),(232,1)}
       206:{1,3,5}:{(173,1),(175,1),(233,1),(235,1),(236,1),(314,1)}
       207:{2,5}:{(174,1),(176,1),(237,1)}
       208:{2,3,6}:{(175,1),(176,1),(177,1),(236,1),(238,1),(285,1)}
       209:{1,4,6}:{(176,1),(178,1),(189,1),(237,1),(238,1),(280,1)}
       210:{1,3,7}:{(177,1),(178,1),(238,1),(239,1)}
       211:{1,4,6}:{(179,1),(180,1),(182,1),(240,1)}
       212:{1,3,5,6}:{(180,1),(181,1),(183,1),(221,1),(230,1),(240,1),(241,1),(242,1),(269,1),(282,1),(300,1)}
       213:{1,2,4,6}:{(181,1),(184,1),(222,1),(231,1),(241,1),(242,1),(246,1),(283,1),(285,1)}
       214:{2,5}:{(182,1),(186,1),(240,1)}
       215:{2,4,6}:{(183,1),(187,1),(224,1),(232,1),(241,1),(243,1),(244,1)}
       216:{3,6}:{(184,1),(225,1),(233,1)}
       217:{2,4,6}:{(185,1),(188,1),(226,1),(234,1),(245,1),(246,1),(285,1)}
       218:{1,4,5}:{(186,1),(187,1),(243,1),(308,1)}
       219:{1,5,6}:{(188,1),(189,1),(229,1),(237,1),(246,1),(308,1),(313,1)}
       220:{1,4,6,7}:{(190,1),(192,1),(211,1),(247,1),(248,1),(286,1)}
       221:{1,3,5,7}:{(190,1),(191,1),(193,1),(212,1),(247,1),(248,1),(249,1)}
       222:{1,2,4,7}:{(191,1),(194,1),(213,1),(248,1),(249,1),(254,1),(288,1),(291,1)}
       223:{2,5,7}:{(192,1),(196,1),(214,1),(247,1),(250,1)}
       224:{2,4,7}:{(193,1),(197,1),(215,1),(248,1),(252,1)}
       225:{3,7}:{(194,1),(216,1)}
       226:{2,4,7}:{(195,1),(198,1),(217,1),(253,1),(254,1),(291,1)}
       227:{1,3,5,6}:{(196,1),(250,1),(255,1),(290,1)}
       228:{1,4,5,7}:{(196,1),(197,1),(218,1),(251,1),(255,1),(310,1)}
       229:{1,5,7}:{(198,1),(199,1),(219,1),(254,1)}
       230:{1,3,5}:{(200,1),(201,1),(202,1),(256,1)}
       231:{1,2,4,5}:{(201,1),(203,1),(213,1),(256,1),(257,1),(260,1),(264,1),(292,1),(295,1),(296,1),(297,1)}
       232:{2,4}:{(202,1),(205,1),(256,1),(258,1)}
       233:{3,5}:{(203,1),(216,1),(258,1)}
       234:{2,4,5}:{(204,1),(207,1),(217,1),(259,1),(260,1),(261,1),(292,1),(295,1),(297,1)}
       235:{1,3,4}:{(205,1),(206,1),(258,1),(261,1)}
       236:{2,3,5}:{(206,1),(207,1),(208,1),(261,1),(262,1),(295,1),(312,1)}
       237:{1,5}:{(207,1),(209,1)}
       238:{1,3,6}:{(208,1),(209,1),(210,1),(262,1),(263,1)}
       239:{1,2,7}:{(210,1),(263,1),(291,1)}
       240:{1,5}:{(211,1),(214,1)}
       241:{1,4,6}:{(212,1),(215,1),(248,1),(256,1),(264,1)}
       242:{1,3,6}:{(213,1),(216,1),(249,1),(257,1),(266,1)}
       243:{2,4,5}:{(214,1),(215,1),(218,1),(264,1),(267,1),(297,1)}
       244:{3,4,6}:{(215,1),(216,1),(252,1),(258,1),(267,1),(290,1)}
       245:{2,3,6}:{(216,1),(217,1),(253,1),(259,1),(268,1)}
       246:{1,4,6}:{(217,1),(219,1),(254,1),(260,1),(268,1)}
       247:{1,5,7}:{(220,1),(223,1),(240,1),(269,1)}
       248:{1,4,7}:{(221,1),(224,1),(241,1)}
       249:{1,3,7}:{(222,1),(225,1),(242,1),(272,1)}
       250:{2,5,6}:{(223,1),(227,1),(269,1),(273,1)}
       251:{2,4,5,7}:{(223,1),(224,1),(228,1),(243,1),(270,1),(273,1),(274,1),(301,1)}
       252:{3,4,7}:{(224,1),(225,1),(244,1),(274,1)}
       253:{2,3,7}:{(225,1),(226,1),(245,1),(275,1)}
       254:{1,4,7}:{(226,1),(229,1),(246,1),(275,1)}
       255:{1,4,6}:{(227,1),(228,1),(273,1),(313,1)}
       256:{1,4}:{(230,1),(232,1)}
       257:{1,3,5}:{(231,1),(233,1),(242,1),(276,1),(277,1),(307,1)}
       258:{3,4}:{(232,1),(233,1)}
       259:{2,3,5}:{(233,1),(234,1),(245,1),(278,1),(279,1)}
       260:{1,4,5}:{(234,1),(237,1),(246,1),(279,1),(280,1),(304,1),(308,1)}
       261:{2,4}:{(235,1),(236,1),(280,1)}
       262:{1,3,5}:{(236,1),(237,1),(238,1),(280,1),(281,1),(307,1)}
       263:{1,2,6}:{(238,1),(239,1),(281,1),(285,1)}
       264:{1,4,5}:{(240,1),(241,1),(243,1),(282,1)}
       265:{1,3,4,6}:{(241,1),(242,1),(244,1),(271,1),(276,1),(282,1),(283,1),(300,1)}
       266:{2,3,6}:{(242,1),(272,1),(277,1),(283,1),(284,1),(285,1)}
       267:{3,5}:{(243,1),(244,1)}
       268:{1,3,6}:{(245,1),(246,1),(275,1),(279,1),(285,1)}
       269:{1,5,6}:{(247,1),(250,1),(286,1)}
       270:{1,4,5,7}:{(247,1),(248,1),(251,1),(264,1),(286,1),(287,1)}
       271:{1,3,4,7}:{(248,1),(249,1),(252,1),(265,1),(287,1),(288,1)}
       272:{2,3,7}:{(249,1),(266,1),(288,1),(289,1),(291,1)}
       273:{2,4,6}:{(250,1),(251,1),(255,1),(286,1),(290,1),(309,1)}
       274:{3,5,7}:{(251,1),(252,1),(267,1),(290,1)}
       275:{1,3,7}:{(253,1),(254,1),(268,1),(291,1)}
       276:{1,3,4}:{(256,1),(257,1),(258,1),(292,1)}
       277:{2,3,5}:{(257,1),(266,1),(292,1),(293,1),(295,1),(297,1),(312,1)}
       278:{2,3,4}:{(258,1),(259,1),(261,1),(292,1),(294,1),(312,1)}
       279:{1,3,5}:{(259,1),(260,1),(268,1),(294,1),(295,1)}
       280:{1,4}:{(261,1),(262,1)}
       281:{1,2,5}:{(262,1),(263,1),(295,1),(296,1)}
       282:{1,3,5}:{(264,1),(265,1),(267,1),(297,1)}
       283:{2,4,6}:{(265,1),(266,1),(288,1),(292,1),(297,1),(298,1),(309,1)}
       284:{1,3,6}:{(266,1),(289,1),(293,1),(298,1),(299,1)}
       285:{2,6}:{(268,1),(291,1),(295,1)}
       286:{1,4,6}:{(269,1),(270,1),(273,1),(300,1)}
       287:{1,3,5,7}:{(270,1),(271,1),(274,1),(282,1),(300,1),(301,1)}
       288:{2,4,7}:{(271,1),(272,1),(283,1),(301,1),(302,1)}
       289:{1,3,7}:{(272,1),(284,1),(302,1),(303,1)}
       290:{3,6}:{(273,1),(274,1)}
       291:{2,7}:{(275,1),(285,1)}
       292:{2,4}:{(276,1),(277,1),(304,1)}
       293:{1,3,5}:{(277,1),(284,1),(304,1),(305,1),(308,1),(314,1)}
       294:{1,3,4}:{(278,1),(279,1),(280,1),(304,1),(306,1),(307,1),(314,1)}
       295:{2,5}:{(279,1),(285,1),(306,1)}
       296:{1,2,4}:{(280,1),(281,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(283,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(302,1),(304,1),(308,1),(313,1)}
       299:{1,2,6}:{(284,1),(285,1),(303,1),(305,1)}
       300:{1,3,6}:{(286,1),(287,1),(290,1),(309,1)}
       301:{2,5,7}:{(287,1),(288,1),(297,1),(309,1),(310,1)}
       302:{1,4,7}:{(288,1),(289,1),(298,1),(310,1)}
       303:{1,2,7}:{(289,1),(291,1),(299,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(295,1),(299,1),(311,1)}
       306:{2,4}:{(294,1),(295,1),(312,1)}
       307:{1,3}:{(296,1),(312,1)}
       308:{1,5}:{(297,1),(298,1)}
       309:{2,6}:{(300,1),(301,1),(313,1)}
       310:{1,5,7}:{(301,1),(302,1),(308,1),(313,1)}
       311:{1,2,4}:{(304,1),(305,1),(306,1),(314,1)}
       312:{2,3}:{(306,1),(307,1),(314,1)}
       313:{1,6}:{(309,1),(310,1)}
       314:{1,3}:{(311,1),(312,1)}

1509 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(39,1),(48,1),(79,1),(87,1),(88,1),(90,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(23,1),(27,1),(34,1),(61,1),(66,1),(68,1),(72,1),(100,1),(102,1),(111,1),(112,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(56,1),(98,1),(109,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(123,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(120,1),(122,1),(134,1),(154,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(124,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(120,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(4,1),(21,1),(22,1),(56,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(5,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(23,1),(29,1),(66,1),(73,1),(103,1),(139,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(140,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(61,1),(71,1),(101,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(56,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(142,1),(146,1),(163,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(143,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(36,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(14,1),(41,1),(81,1),(94,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(15,1),(40,1),(41,1),(120,1),(134,1),(153,1)}
        25:{2,4,5,6}:{(13,1),(36,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(41,1),(45,1),(48,1),(49,1),(153,1),(169,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(77,1),(82,1),(91,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(124,1),(154,1),(170,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,4,5,7}:{(22,1),(25,1),(55,1),(56,1),(98,1),(162,1)}
        37:{2,5,6,7}:{(21,1),(26,1),(57,1),(98,1),(139,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(27,1),(55,1),(57,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(56,1)}
        40:{1,2,5,6}:{(24,1),(26,1),(59,1),(60,1),(108,1),(116,1),(140,1),(146,1),(150,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(29,1),(59,1),(61,1)}
        42:{1,2,4,5,7}:{(24,1),(30,1),(60,1),(61,1),(62,1),(70,1),(101,1),(104,1),(113,1),(117,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(55,1),(63,1),(64,1),(71,1),(101,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(56,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(59,1),(65,1),(66,1),(73,1),(103,1),(109,1),(114,1),(140,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(61,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(98,1),(104,1),(113,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,4,5,7}:{(36,1),(38,1),(43,1),(76,1),(77,1),(120,1),(152,1)}
        56:{3,5,7}:{(36,1),(39,1),(44,1),(169,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(46,1),(76,1),(78,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(47,1),(77,1),(78,1),(79,1),(118,1),(121,1),(152,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(80,1),(81,1),(94,1),(122,1),(134,1),(161,1)}
        60:{1,2,4,6}:{(40,1),(42,1),(46,1),(80,1),(81,1),(89,1),(123,1),(132,1),(158,1)}
        61:{1,4,7}:{(41,1),(48,1),(80,1)}
        62:{1,3,5,7}:{(42,1),(49,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(76,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(77,1),(84,1),(85,1),(92,1),(122,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(80,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(169,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(169,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(120,1),(125,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(57,1),(63,1),(97,1),(98,1),(137,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(58,1),(64,1),(97,1),(98,1)}
        78:{3,6,7}:{(57,1),(66,1),(97,1)}
        79:{2,4,6,7}:{(58,1),(67,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(61,1),(65,1),(101,1),(168,1)}
        81:{1,3,6}:{(60,1),(62,1),(66,1),(103,1),(166,1)}
        82:{1,3,4,7}:{(61,1),(62,1),(68,1),(102,1),(104,1),(168,1),(174,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(113,1),(140,1),(149,1),(167,1)}
        84:{3,5,6}:{(63,1),(66,1),(97,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(98,1),(108,1),(114,1),(140,1)}
        86:{2,4,5}:{(65,1),(71,1),(101,1),(109,1),(114,1),(140,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(104,1),(110,1),(112,1),(137,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(78,1),(84,1),(118,1)}
        98:{2,5,7}:{(77,1),(79,1),(85,1),(120,1)}
        99:{2,3,6,7}:{(78,1),(79,1),(88,1),(119,1),(121,1),(169,1)}
       100:{1,4,6,7}:{(79,1),(89,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(86,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(87,1),(122,1),(123,1)}
       103:{2,3,6}:{(81,1),(83,1),(123,1),(124,1),(132,1)}
       104:{2,4,7}:{(82,1),(83,1),(123,1),(125,1),(172,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,4,6}:{(84,1),(118,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(119,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(120,1),(134,1),(154,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(123,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(125,1),(131,1),(133,1),(136,1),(152,1),(156,1),(169,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{3,4,7}:{(97,1),(106,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1)}
       120:{1,5,7}:{(98,1),(100,1),(108,1)}
       121:{1,3,6,7}:{(99,1),(100,1),(111,1),(138,1),(139,1)}
       122:{1,3,5}:{(101,1),(102,1),(109,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,3,6}:{(103,1),(105,1),(141,1),(142,1)}
       125:{1,4,7}:{(104,1),(105,1),(141,1),(173,1)}
       126:{1,2,5,7}:{(105,1),(113,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(137,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(138,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(140,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(141,1),(145,1),(147,1),(148,1),(151,1),(164,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(128,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(129,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(121,1),(132,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,6}:{(124,1),(126,1),(132,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(133,1),(155,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(152,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(153,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(154,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(156,1),(160,1),(169,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(145,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(146,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(148,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(162,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(159,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(169,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(166,1)}
       170:{1,3,5}:{(163,1),(164,1),(167,1),(173,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1510 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(98,1),(252,1),(334,1),(353,1),(361,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(44,1),(45,1),(232,1),(248,1),(257,1),(353,1),(366,1),(442,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(129,1),(201,1),(300,1),(402,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(28,1),(68,1),(283,1),(310,1),(408,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(62,1),(302,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(16,1),(39,1),(45,1),(155,1),(246,1),(255,1),(361,1),(367,1),(448,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(13,1),(171,1),(442,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(41,1),(442,1),(454,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(92,1),(448,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(45,1),(257,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(30,1),(57,1),(70,1),(115,1),(121,1),(129,1),(196,1),(203,1),(319,1),(324,1),(416,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(308,1),(414,1)}
        12:{1,2,4,5,6}:{(7,1),(25,1),(26,1),(27,1),(62,1),(63,1),(109,1),(132,1),(188,1),(204,1),(314,1),(322,1),(413,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(27,1),(132,1),(300,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(28,1),(30,1),(310,1)}
        17:{2,3,4,6}:{(9,1),(29,1),(30,1),(31,1),(62,1),(70,1),(214,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(104,1),(151,1),(182,1),(243,1),(273,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(48,1),(80,1),(82,1),(101,1),(151,1),(172,1),(273,1),(277,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(162,1),(171,1),(254,1),(374,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(35,1),(39,1),(45,1),(246,1),(259,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(39,1),(448,1),(454,1)}
        23:{1,3,4,5}:{(15,1),(38,1),(41,1),(454,1),(458,1)}
        24:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(171,1),(238,1),(338,1),(347,1),(360,1)}
        25:{1,2,4,5,7}:{(12,1),(42,1),(43,1),(90,1),(92,1),(147,1),(171,1),(236,1),(256,1),(360,1),(368,1),(448,1)}
        26:{1,3,5,6}:{(12,1),(15,1),(38,1),(43,1),(44,1),(45,1),(257,1),(372,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(39,1),(45,1),(95,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(16,1),(45,1),(46,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(47,1)}
        30:{2,3,4,7}:{(16,1),(17,1),(46,1),(48,1),(92,1),(266,1)}
        31:{1,3,4,6}:{(17,1),(47,1),(48,1),(49,1),(93,1),(101,1),(174,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(73,1),(111,1),(139,1),(203,1),(230,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(112,1),(295,1),(325,1),(480,1),(519,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(54,1),(55,1),(220,1),(329,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(70,1),(124,1),(132,1),(196,1),(206,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(416,1),(420,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(60,1),(67,1),(128,1),(296,1),(308,1),(408,1)}
        38:{1,3,4,6}:{(23,1),(26,1),(61,1),(62,1),(413,1),(419,1)}
        39:{1,4,6}:{(21,1),(22,1),(57,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(28,1),(58,1),(61,1),(64,1),(65,1),(128,1)}
        41:{2,4,5}:{(23,1),(29,1),(62,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(60,1),(67,1),(129,1),(190,1),(287,1),(386,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(61,1),(67,1),(68,1),(310,1),(415,1)}
        44:{2,3,5,6}:{(26,1),(29,1),(62,1),(68,1),(69,1),(70,1),(132,1),(188,1),(214,1)}
        45:{1,3,6}:{(27,1),(28,1),(70,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(70,1),(71,1)}
        47:{1,3,5}:{(29,1),(31,1),(66,1),(72,1)}
        48:{1,3,4,7}:{(30,1),(31,1),(71,1),(73,1),(130,1),(222,1)}
        49:{1,2,4,6}:{(31,1),(72,1),(73,1),(74,1),(139,1),(141,1)}
        50:{1,3,4,5,6}:{(38,1),(75,1),(76,1),(94,1),(144,1),(166,1),(241,1),(268,1),(372,1),(433,1)}
        51:{1,2,5,7}:{(32,1),(34,1),(77,1),(254,1),(280,1)}
        52:{1,2,3,5,6}:{(33,1),(77,1),(79,1),(151,1),(153,1),(182,1),(245,1),(276,1),(280,1),(451,1),(502,1),(505,1)}
        53:{1,2,4,7}:{(33,1),(79,1),(80,1),(345,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(77,1),(82,1),(101,1),(151,1),(175,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(378,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(84,1),(98,1),(162,1),(171,1),(243,1),(254,1),(338,1),(369,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(39,1),(82,1),(87,1)}
        58:{3,4,5,7}:{(36,1),(87,1),(162,1),(455,1),(458,1)}
        59:{2,3,4,5}:{(41,1),(85,1),(89,1),(170,1),(341,1),(458,1)}
        60:{1,4,6,7}:{(37,1),(39,1),(84,1),(90,1),(448,1)}
        61:{1,3,4,7}:{(38,1),(43,1),(92,1),(448,1),(455,1)}
        62:{2,4,6}:{(38,1),(41,1),(44,1),(92,1),(93,1)}
        63:{1,4,5,6}:{(39,1),(86,1),(90,1),(94,1),(259,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(87,1),(94,1),(95,1)}
        65:{2,4,5,7}:{(40,1),(41,1),(46,1),(92,1),(95,1),(96,1),(171,1)}
        66:{1,4,5}:{(41,1),(47,1),(93,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(45,1),(98,1),(428,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(92,1),(98,1),(99,1),(171,1),(236,1),(266,1)}
        69:{1,3,5,6}:{(44,1),(47,1),(93,1),(99,1),(100,1),(101,1),(174,1),(175,1)}
        70:{2,3,6}:{(45,1),(46,1),(95,1),(101,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(48,1),(96,1),(101,1),(102,1)}
        72:{1,2,5}:{(47,1),(49,1)}
        73:{1,2,4,7}:{(48,1),(49,1),(102,1),(104,1)}
        74:{1,2,3,6}:{(49,1),(103,1),(104,1),(174,1)}
        75:{1,3,4,5,7}:{(50,1),(61,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(62,1),(105,1),(108,1),(109,1),(132,1),(188,1),(289,1),(467,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(111,1),(139,1),(206,1)}
        78:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(111,1),(112,1),(113,1),(119,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(113,1),(114,1),(298,1),(328,1),(526,1)}
        80:{1,3,4,7}:{(53,1),(112,1),(114,1),(115,1),(519,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(110,1),(116,1),(136,1),(194,1),(202,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(112,1),(118,1),(119,1),(198,1),(202,1),(294,1)}
        84:{2,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(120,1),(121,1),(416,1)}
        85:{2,3,4,6}:{(59,1),(62,1),(105,1),(122,1),(123,1),(214,1),(289,1),(419,1)}
        86:{2,4,5,6}:{(57,1),(63,1),(117,1),(120,1),(124,1),(132,1),(206,1)}
        87:{3,4,6}:{(57,1),(58,1),(124,1)}
        88:{2,3,4,5,7}:{(58,1),(59,1),(65,1),(119,1),(122,1),(125,1),(126,1),(211,1),(218,1),(303,1),(389,1),(393,1),(416,1),(420,1),(488,1),(528,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(123,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(63,1),(120,1),(128,1),(308,1)}
        91:{1,3,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(121,1),(128,1),(129,1)}
        92:{2,4,7}:{(61,1),(62,1),(68,1),(130,1)}
        93:{1,4,6}:{(62,1),(66,1),(69,1),(130,1)}
        94:{1,3,5,6}:{(63,1),(64,1),(124,1),(128,1),(132,1)}
        95:{2,4,6}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
        96:{1,4,5,7}:{(65,1),(66,1),(71,1),(130,1),(133,1),(220,1)}
        97:{1,2,4,5}:{(66,1),(72,1),(127,1),(131,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(70,1),(129,1),(136,1),(287,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(130,1),(136,1),(137,1),(220,1),(222,1)}
       100:{1,2,5,6}:{(69,1),(72,1),(131,1),(137,1),(139,1),(188,1)}
       101:{1,3,6}:{(70,1),(71,1),(133,1),(139,1)}
       102:{1,2,5,7}:{(71,1),(72,1),(73,1),(139,1)}
       103:{1,2,3,5}:{(72,1),(74,1),(135,1),(141,1)}
       104:{1,2,3,7}:{(73,1),(74,1),(222,1)}
       105:{2,3,5,6}:{(76,1),(85,1),(143,1),(144,1),(372,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(92,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(93,1),(144,1),(147,1),(175,1),(336,1),(494,1)}
       110:{1,2,5,6,7}:{(77,1),(81,1),(149,1),(179,1),(254,1),(272,1),(333,1),(338,1)}
       111:{1,2,4,6}:{(77,1),(78,1),(82,1),(151,1),(159,1)}
       112:{1,3,5,7}:{(78,1),(80,1),(151,1),(152,1),(153,1)}
       113:{1,2,4,5}:{(79,1),(153,1),(249,1),(280,1),(378,1)}
       114:{1,3,4,6}:{(79,1),(80,1),(151,1),(153,1),(154,1),(502,1),(506,1)}
       115:{2,3,4,7}:{(80,1),(152,1),(154,1),(155,1),(345,1),(498,1)}
       116:{1,4,6,7}:{(81,1),(82,1),(84,1),(156,1),(375,1)}
       117:{1,4,5,6}:{(82,1),(86,1),(156,1),(158,1),(175,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(87,1),(151,1),(158,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(152,1),(159,1),(160,1),(249,1),(254,1),(345,1)}
       120:{2,4,5,7}:{(84,1),(86,1),(90,1),(156,1),(162,1),(171,1),(254,1)}
       121:{3,4,6,7}:{(84,1),(87,1),(162,1),(428,1),(455,1)}
       122:{2,3,4,7}:{(85,1),(92,1),(143,1),(164,1),(266,1),(340,1),(455,1)}
       123:{1,3,4,6}:{(85,1),(89,1),(93,1),(144,1),(164,1),(165,1),(174,1),(257,1),(336,1)}
       124:{3,5,6}:{(86,1),(87,1),(162,1)}
       125:{2,3,4,6}:{(87,1),(88,1),(95,1),(159,1),(167,1),(168,1),(270,1),(373,1),(431,1),(513,1),(541,1)}
       126:{1,3,4,5,7}:{(88,1),(89,1),(96,1),(160,1),(164,1),(168,1),(169,1),(177,1),(261,1),(264,1),(355,1),(375,1),(378,1),(427,1),(434,1),(448,1),(454,1),(455,1),(458,1),(540,1)}
       127:{2,4,5}:{(89,1),(165,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(94,1),(162,1),(171,1)}
       129:{2,4,6,7}:{(91,1),(92,1),(95,1),(98,1),(171,1),(172,1)}
       130:{1,4,7}:{(92,1),(93,1),(99,1)}
       131:{1,2,4,6}:{(93,1),(97,1),(100,1),(165,1),(173,1),(174,1)}
       132:{2,5,6}:{(94,1),(95,1),(171,1),(175,1)}
       133:{1,4,6}:{(95,1),(96,1),(101,1),(175,1)}
       134:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(169,1),(173,1),(176,1),(177,1),(183,1),(272,1),(280,1),(375,1),(378,1),(443,1),(497,1),(540,1),(550,1)}
       135:{1,3,5}:{(97,1),(170,1),(174,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(101,1),(172,1),(179,1)}
       137:{1,2,5,7}:{(99,1),(100,1),(173,1),(179,1),(236,1)}
       138:{1,2,3,5,6}:{(100,1),(103,1),(174,1),(180,1),(181,1),(182,1),(237,1),(275,1),(276,1),(280,1),(377,1),(379,1)}
       139:{1,2,6}:{(101,1),(102,1)}
       140:{1,2,3,5,7}:{(102,1),(103,1),(104,1),(177,1),(182,1),(183,1),(280,1),(505,1),(534,1),(550,1)}
       141:{1,2,4}:{(103,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(122,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(123,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(130,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(131,1),(188,1),(191,1),(192,1),(224,1),(229,1),(289,1),(322,1),(328,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,6,7}:{(110,1),(111,1),(116,1),(193,1),(194,1),(203,1),(381,1),(386,1),(460,1)}
       150:{1,2,4,5,6}:{(111,1),(113,1),(117,1),(193,1),(195,1),(206,1),(224,1),(298,1),(313,1),(322,1),(328,1),(411,1),(474,1)}
       151:{1,3,6}:{(111,1),(112,1),(196,1)}
       152:{2,3,5,7}:{(112,1),(115,1),(119,1),(196,1),(197,1),(199,1)}
       153:{1,3,5}:{(113,1),(114,1),(199,1)}
       154:{2,3,4,6}:{(114,1),(115,1),(196,1),(199,1),(200,1),(298,1),(475,1),(479,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(394,1),(470,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(202,1),(220,1)}
       157:{1,3,4,6,7}:{(116,1),(118,1),(121,1),(194,1),(202,1),(203,1),(294,1)}
       158:{1,3,5,6}:{(117,1),(118,1),(124,1),(202,1),(206,1)}
       159:{2,4,6}:{(118,1),(119,1),(196,1),(206,1),(207,1)}
       160:{1,4,5,7}:{(119,1),(197,1),(207,1),(304,1),(308,1),(394,1)}
       161:{1,2,4,5}:{(127,1),(204,1),(209,1),(302,1),(385,1),(398,1)}
       162:{3,5,7}:{(120,1),(121,1),(124,1)}
       163:{2,3,4,6,7}:{(121,1),(122,1),(125,1),(129,1),(186,1),(203,1),(211,1),(212,1),(285,1),(319,1),(380,1),(388,1),(393,1),(416,1),(465,1),(515,1)}
       164:{1,3,4,7}:{(122,1),(123,1),(130,1),(187,1),(213,1),(222,1),(310,1),(384,1)}
       165:{2,4,6}:{(123,1),(127,1),(188,1),(213,1),(214,1)}
       166:{3,4,5,6}:{(124,1),(210,1),(215,1),(419,1),(518,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(132,1),(206,1),(211,1),(215,1),(216,1),(467,1),(518,1),(543,1)}
       168:{1,3,4,6}:{(125,1),(126,1),(133,1),(207,1),(216,1),(217,1),(225,1),(315,1),(328,1),(413,1),(419,1),(464,1),(548,1)}
       169:{2,4,5,7}:{(126,1),(127,1),(213,1),(217,1),(218,1),(318,1),(403,1),(416,1),(420,1),(469,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(214,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(132,1),(220,1)}
       172:{1,4,6,7}:{(129,1),(130,1),(133,1),(136,1),(220,1)}
       173:{1,2,4,7}:{(130,1),(131,1),(137,1),(213,1),(222,1)}
       174:{1,3,6}:{(131,1),(135,1),(214,1),(222,1)}
       175:{1,5,6}:{(132,1),(133,1),(220,1)}
       176:{1,2,4,6}:{(133,1),(134,1),(139,1),(217,1),(224,1),(225,1),(328,1),(548,1),(552,1)}
       177:{1,3,5,7}:{(134,1),(135,1),(218,1),(222,1),(225,1),(226,1),(329,1),(478,1),(519,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,5,7}:{(137,1),(138,1),(222,1),(227,1),(228,1),(288,1),(325,1),(327,1),(330,1)}
       181:{1,2,4,6}:{(138,1),(141,1),(223,1),(228,1),(229,1),(289,1),(328,1)}
       182:{1,2,3,6}:{(139,1),(140,1),(225,1),(230,1),(552,1)}
       183:{1,2,4,7}:{(140,1),(141,1),(226,1),(230,1),(526,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(162,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(164,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(165,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(173,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(174,1),(237,1),(240,1),(241,1),(275,1),(372,1),(377,1)}
       193:{1,2,4,5,7}:{(149,1),(150,1),(156,1),(242,1),(254,1),(272,1),(345,1),(359,1),(368,1),(375,1),(446,1),(497,1)}
       194:{1,3,6,7}:{(149,1),(151,1),(242,1),(243,1),(428,1)}
       195:{1,3,5,6}:{(150,1),(151,1),(153,1),(242,1),(244,1),(245,1),(372,1),(502,1)}
       196:{2,3,6}:{(151,1),(152,1),(159,1),(246,1)}
       197:{1,3,5,7}:{(152,1),(155,1),(160,1),(246,1),(247,1),(250,1)}
       198:{1,3,4,5}:{(153,1),(244,1),(249,1),(378,1),(458,1)}
       199:{2,3,5}:{(153,1),(154,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(246,1),(250,1),(251,1),(351,1),(440,1),(445,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(251,1),(252,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(158,1),(162,1),(254,1)}
       203:{2,4,6,7}:{(157,1),(159,1),(243,1),(254,1),(255,1),(345,1)}
       204:{1,2,4,6}:{(161,1),(165,1),(232,1),(256,1),(257,1),(336,1)}
       205:{1,3,4,5,6}:{(158,1),(166,1),(244,1),(253,1),(258,1),(268,1),(364,1),(372,1),(453,1),(533,1)}
       206:{2,5,6}:{(158,1),(159,1),(254,1),(259,1)}
       207:{1,4,6}:{(159,1),(160,1),(246,1),(259,1)}
       208:{1,2,4,5,7}:{(160,1),(161,1),(169,1),(247,1),(256,1),(260,1),(261,1),(354,1),(356,1),(360,1),(427,1),(435,1),(438,1),(442,1),(448,1),(454,1)}
       209:{1,3,5}:{(161,1),(170,1),(257,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(166,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,3,5,7}:{(162,1),(163,1),(167,1),(171,1),(254,1),(263,1),(264,1),(430,1),(495,1),(532,1)}
       212:{1,3,4,6,7}:{(163,1),(164,1),(168,1),(172,1),(235,1),(255,1),(264,1),(265,1),(273,1),(337,1),(361,1),(375,1),(423,1),(426,1),(428,1),(434,1),(448,1),(455,1),(531,1)}
       213:{2,4,7}:{(164,1),(165,1),(236,1),(266,1)}
       214:{2,3,6}:{(165,1),(170,1),(174,1),(257,1),(266,1)}
       215:{2,4,5,6}:{(166,1),(167,1),(263,1),(268,1),(373,1)}
       216:{1,3,5,6}:{(167,1),(168,1),(175,1),(259,1),(264,1),(268,1),(269,1),(372,1),(494,1),(549,1)}
       217:{2,4,6}:{(168,1),(169,1),(269,1),(270,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(177,1),(261,1),(266,1),(270,1),(271,1),(374,1),(444,1),(498,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(175,1)}
       221:{1,2,4,6,7}:{(172,1),(173,1),(176,1),(179,1),(265,1),(272,1),(273,1),(375,1),(490,1),(497,1),(531,1)}
       222:{1,3,7}:{(173,1),(174,1),(266,1)}
       223:{1,3,4,6}:{(174,1),(178,1),(181,1),(267,1),(274,1),(275,1),(377,1)}
       224:{1,2,5,6}:{(175,1),(176,1),(269,1),(272,1),(276,1),(280,1),(549,1)}
       225:{1,3,6}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,7}:{(177,1),(178,1),(183,1),(271,1),(277,1),(375,1),(506,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(273,1),(278,1),(339,1),(377,1),(534,1)}
       228:{1,2,4,7}:{(180,1),(181,1),(274,1),(340,1),(375,1)}
       229:{1,2,4,5}:{(181,1),(275,1),(280,1),(341,1),(378,1)}
       230:{1,2,4,6}:{(182,1),(183,1),(277,1),(280,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(202,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(204,1),(283,1),(284,1),(398,1),(473,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(211,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(213,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(214,1),(284,1),(288,1),(289,1),(321,1),(418,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(222,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(328,1),(419,1)}
       242:{1,3,5,7}:{(193,1),(194,1),(195,1),(294,1),(295,1),(415,1),(519,1)}
       243:{2,3,6,7}:{(194,1),(196,1),(203,1),(295,1),(296,1),(460,1)}
       244:{1,3,4,6}:{(195,1),(198,1),(294,1),(298,1),(328,1),(419,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(206,1),(295,1),(298,1),(299,1),(411,1),(475,1)}
       246:{1,3,6}:{(196,1),(197,1),(207,1),(300,1)}
       247:{1,2,5,7}:{(197,1),(201,1),(300,1),(305,1)}
       248:{1,2,3,5}:{(209,1),(297,1),(302,1),(398,1)}
       249:{2,4,5}:{(198,1),(199,1),(298,1),(304,1)}
       250:{1,3,5}:{(199,1),(200,1),(304,1),(305,1)}
       251:{1,2,4,6}:{(200,1),(201,1),(300,1),(305,1),(306,1),(405,1)}
       252:{1,2,3,7}:{(201,1),(306,1),(470,1)}
       253:{1,3,4,5,7}:{(202,1),(205,1),(210,1),(281,1),(294,1),(307,1),(317,1),(406,1),(415,1),(482,1),(516,1)}
       254:{2,5,7}:{(202,1),(203,1),(206,1),(308,1)}
       255:{1,4,6,7}:{(203,1),(207,1),(296,1),(308,1),(394,1)}
       256:{1,2,4,7}:{(204,1),(213,1),(283,1),(310,1),(384,1)}
       257:{1,3,6}:{(204,1),(209,1),(214,1),(310,1)}
       258:{2,4,5,6}:{(205,1),(206,1),(298,1),(307,1),(312,1),(313,1),(411,1),(486,1),(543,1)}
       259:{1,5,6}:{(206,1),(207,1),(308,1)}
       260:{1,2,4,6}:{(207,1),(208,1),(217,1),(300,1),(314,1),(315,1),(413,1),(464,1),(473,1)}
       261:{1,3,5,7}:{(208,1),(209,1),(218,1),(310,1),(315,1),(316,1),(404,1),(414,1),(470,1)}
       262:{1,3,4}:{(209,1),(219,1),(302,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(215,1),(285,1),(317,1),(416,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(216,1),(220,1),(308,1),(317,1),(318,1),(415,1),(463,1),(542,1)}
       265:{2,4,6,7}:{(212,1),(213,1),(217,1),(287,1),(318,1),(319,1),(416,1),(460,1),(469,1)}
       266:{2,3,7}:{(213,1),(214,1),(222,1),(310,1)}
       267:{2,3,4,6}:{(214,1),(219,1),(223,1),(289,1),(311,1),(320,1),(321,1),(418,1)}
       268:{1,4,5,6}:{(215,1),(216,1),(317,1),(322,1),(328,1),(413,1)}
       269:{2,5,6}:{(216,1),(217,1),(318,1)}
       270:{2,3,6}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,7}:{(218,1),(219,1),(226,1),(316,1),(324,1),(416,1),(479,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(224,1),(318,1),(325,1),(542,1)}
       273:{1,3,6,7}:{(221,1),(222,1),(225,1),(319,1),(325,1),(519,1)}
       274:{1,3,4,7}:{(222,1),(223,1),(228,1),(320,1),(327,1)}
       275:{1,3,5}:{(223,1),(229,1),(321,1)}
       276:{1,3,5,6}:{(224,1),(225,1),(323,1),(325,1),(328,1),(329,1)}
       277:{1,3,4,6}:{(225,1),(226,1),(230,1),(324,1),(328,1),(329,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(230,1),(326,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,4,5,7}:{(228,1),(229,1),(327,1),(330,1),(331,1),(389,1),(421,1)}
       280:{1,2,5}:{(230,1),(329,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(254,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(256,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(257,1),(335,1),(336,1),(363,1),(450,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(264,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(266,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(377,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(275,1),(341,1),(378,1),(458,1)}
       294:{1,3,4,7}:{(242,1),(244,1),(345,1),(375,1),(455,1)}
       295:{2,3,5,7}:{(242,1),(243,1),(245,1),(254,1),(345,1),(346,1),(446,1),(498,1)}
       296:{1,3,6,7}:{(243,1),(246,1),(255,1),(346,1),(347,1)}
       297:{1,2,3,6}:{(248,1),(257,1),(348,1),(349,1)}
       298:{2,4,6}:{(244,1),(245,1),(249,1),(345,1),(351,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(250,1),(259,1),(346,1),(351,1),(352,1),(440,1)}
       300:{1,2,6}:{(246,1),(247,1)}
       301:{1,2,3,5,7}:{(247,1),(248,1),(252,1),(261,1),(348,1),(353,1),(354,1),(357,1),(438,1),(442,1)}
       302:{1,2,4}:{(248,1),(262,1)}
       303:{2,3,4,5}:{(249,1),(350,1),(355,1),(444,1),(458,1),(512,1)}
       304:{1,4,5}:{(249,1),(250,1),(351,1)}
       305:{1,2,5}:{(250,1),(251,1)}
       306:{1,2,3,6}:{(251,1),(252,1),(357,1),(440,1)}
       307:{2,4,5,7}:{(253,1),(254,1),(258,1),(332,1),(345,1),(358,1),(359,1),(446,1),(508,1),(532,1)}
       308:{1,5,7}:{(254,1),(255,1),(259,1)}
       309:{1,2,4,6,7}:{(255,1),(256,1),(260,1),(265,1),(334,1),(347,1),(360,1),(361,1),(426,1),(435,1),(448,1)}
       310:{1,3,7}:{(256,1),(257,1),(266,1)}
       311:{1,3,4,6}:{(257,1),(262,1),(267,1),(336,1),(349,1),(362,1),(363,1),(450,1)}
       312:{2,3,5,6}:{(258,1),(350,1),(358,1),(364,1),(372,1)}
       313:{1,4,5,6}:{(258,1),(259,1),(351,1),(359,1),(364,1),(511,1),(549,1)}
       314:{1,2,5,6}:{(259,1),(260,1),(269,1),(360,1),(366,1),(442,1),(494,1)}
       315:{1,3,6}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(271,1),(354,1),(367,1),(445,1),(448,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(268,1),(337,1),(368,1),(375,1),(448,1)}
       318:{2,5,7}:{(264,1),(265,1),(269,1)}
       319:{2,3,6,7}:{(265,1),(266,1),(270,1),(273,1),(361,1),(369,1),(428,1),(498,1)}
       320:{2,3,4,7}:{(266,1),(267,1),(274,1),(340,1),(362,1),(371,1)}
       321:{2,3,5}:{(267,1),(275,1),(341,1),(363,1)}
       322:{2,4,5,6}:{(268,1),(269,1),(368,1),(372,1),(373,1)}
       323:{2,3,5,6}:{(269,1),(270,1),(276,1),(366,1),(369,1),(372,1),(373,1),(374,1)}
       324:{2,3,4,6}:{(270,1),(271,1),(277,1),(367,1),(373,1),(374,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(276,1),(369,1),(375,1)}
       326:{1,3,4,6,7}:{(273,1),(274,1),(277,1),(278,1),(370,1),(375,1),(376,1),(377,1),(459,1),(531,1),(535,1),(551,1)}
       327:{1,3,5,7}:{(274,1),(275,1),(279,1),(371,1),(377,1)}
       328:{1,4,6}:{(276,1),(373,1),(375,1),(378,1)}
       329:{1,3,5}:{(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(280,1),(376,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(279,1),(377,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(307,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(308,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(473,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(310,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(318,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(418,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(321,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(327,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,4,7}:{(294,1),(295,1),(298,1),(394,1)}
       346:{1,3,5,7}:{(295,1),(296,1),(299,1),(308,1),(394,1),(395,1),(470,1)}
       347:{1,2,6,7}:{(296,1),(300,1),(395,1),(460,1)}
       348:{1,2,3,7}:{(297,1),(310,1),(397,1)}
       349:{1,2,4,6}:{(297,1),(302,1),(311,1),(397,1),(398,1),(473,1)}
       350:{2,3,4,6}:{(298,1),(303,1),(312,1),(393,1),(399,1),(419,1),(475,1),(486,1)}
       351:{1,4,6}:{(298,1),(299,1),(304,1),(394,1)}
       352:{1,2,5,6}:{(299,1),(300,1),(305,1),(395,1),(400,1),(411,1)}
       353:{1,2,3,6}:{(300,1),(301,1),(315,1),(402,1),(473,1)}
       354:{1,2,4,7}:{(301,1),(302,1),(316,1),(402,1),(405,1)}
       355:{1,3,4,5}:{(303,1),(304,1),(399,1),(403,1),(404,1),(478,1),(530,1)}
       356:{1,2,4,5}:{(304,1),(305,1),(400,1),(403,1),(404,1),(405,1)}
       357:{1,2,3,5}:{(305,1),(306,1),(404,1),(405,1)}
       358:{2,3,5,7}:{(307,1),(312,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,4,5,7}:{(307,1),(308,1),(313,1),(381,1),(394,1),(406,1),(527,1),(542,1)}
       360:{1,2,5,7}:{(308,1),(309,1),(314,1),(318,1),(408,1),(463,1)}
       361:{1,3,6,7}:{(309,1),(310,1),(315,1),(319,1),(408,1),(470,1)}
       362:{1,3,4,7}:{(310,1),(311,1),(320,1),(384,1),(397,1),(410,1)}
       363:{1,3,5}:{(311,1),(321,1),(385,1),(398,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(399,1),(406,1),(411,1)}
       365:{1,2,4,5,6}:{(313,1),(314,1),(322,1),(400,1),(407,1),(411,1),(412,1),(413,1),(477,1),(486,1),(517,1),(522,1),(543,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(323,1),(408,1),(413,1),(414,1)}
       367:{1,3,4,6}:{(315,1),(316,1),(324,1),(402,1),(413,1),(414,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(322,1),(386,1),(415,1),(416,1)}
       369:{2,3,5,7}:{(318,1),(319,1),(323,1),(325,1),(408,1),(415,1),(416,1)}
       370:{2,3,4,6,7}:{(319,1),(320,1),(324,1),(326,1),(388,1),(409,1),(416,1),(417,1),(418,1),(465,1),(489,1),(515,1),(520,1),(546,1)}
       371:{2,3,5,7}:{(320,1),(321,1),(327,1),(389,1),(410,1),(418,1)}
       372:{3,5,6}:{(322,1),(415,1),(419,1)}
       373:{2,4,6}:{(323,1),(328,1),(413,1),(416,1),(419,1),(420,1)}
       374:{2,3,5}:{(324,1),(329,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(328,1),(416,1)}
       376:{1,3,5,7}:{(326,1),(329,1),(330,1),(417,1),(421,1),(422,1),(542,1)}
       377:{1,3,6}:{(327,1),(331,1),(418,1)}
       378:{1,4,5}:{(328,1),(329,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(359,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(360,1),(424,1),(425,1),(501,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(450,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(363,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(369,1),(425,1),(428,1),(429,1),(430,1),(457,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(371,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(377,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(350,1),(358,1),(434,1),(455,1),(498,1),(508,1)}
       394:{1,4,7}:{(345,1),(346,1),(351,1)}
       395:{1,2,5,7}:{(346,1),(347,1),(352,1),(435,1),(446,1)}
       396:{1,2,3,6,7}:{(347,1),(348,1),(353,1),(361,1),(436,1),(437,1),(491,1),(537,1)}
       397:{1,2,4,7}:{(348,1),(349,1),(362,1),(438,1)}
       398:{1,2,5}:{(349,1),(363,1)}
       399:{1,3,4,6}:{(350,1),(351,1),(355,1),(364,1),(434,1),(439,1),(440,1),(502,1),(511,1)}
       400:{1,2,4,6}:{(351,1),(352,1),(356,1),(435,1),(439,1),(440,1)}
       401:{1,2,3,5,6}:{(352,1),(353,1),(357,1),(366,1),(436,1),(440,1),(441,1),(442,1),(452,1),(501,1),(504,1),(537,1)}
       402:{1,2,4,6}:{(353,1),(354,1),(367,1),(442,1)}
       403:{2,4,5}:{(355,1),(439,1),(444,1)}
       404:{1,3,5}:{(356,1),(440,1),(444,1),(445,1)}
       405:{1,2,4}:{(357,1),(445,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(364,1),(423,1),(434,1),(446,1)}
       407:{1,2,4,5,7}:{(359,1),(360,1),(365,1),(368,1),(424,1),(435,1),(446,1),(447,1),(448,1),(493,1),(508,1),(532,1)}
       408:{1,3,5,7}:{(360,1),(361,1),(366,1),(369,1),(448,1)}
       409:{1,3,4,6,7}:{(361,1),(362,1),(367,1),(370,1),(426,1),(437,1),(448,1),(449,1),(450,1),(499,1),(510,1),(537,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(371,1),(427,1),(438,1),(450,1)}
       411:{2,5,6}:{(364,1),(439,1),(446,1)}
       412:{1,3,5,6}:{(365,1),(372,1),(440,1),(447,1),(452,1),(453,1),(504,1),(537,1)}
       413:{1,4,6}:{(366,1),(373,1),(448,1),(454,1)}
       414:{1,3,5}:{(367,1),(374,1),(442,1),(454,1)}
       415:{3,5,7}:{(368,1),(372,1),(428,1),(455,1)}
       416:{2,4,7}:{(369,1),(373,1),(375,1),(448,1),(455,1)}
       417:{2,3,5,7}:{(370,1),(374,1),(376,1),(430,1),(449,1),(456,1),(457,1),(495,1),(532,1)}
       418:{2,3,6}:{(371,1),(377,1),(431,1),(450,1)}
       419:{3,4,6}:{(372,1),(373,1),(455,1),(458,1)}
       420:{2,4,5}:{(373,1),(374,1),(378,1),(454,1),(458,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(378,1),(456,1),(459,1)}
       422:{1,3,5,6}:{(376,1),(377,1),(379,1),(457,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(407,1),(460,1),(461,1),(462,1),(515,1),(522,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(408,1),(461,1),(462,1),(463,1),(484,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(410,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(416,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(418,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,3,4,7}:{(393,1),(394,1),(399,1),(406,1),(469,1),(470,1),(519,1),(527,1)}
       435:{1,2,4,7}:{(394,1),(395,1),(400,1),(469,1),(470,1)}
       436:{1,2,3,5,7}:{(395,1),(396,1),(401,1),(408,1),(470,1),(471,1),(472,1),(481,1),(521,1)}
       437:{1,2,4,6,7}:{(396,1),(397,1),(402,1),(409,1),(471,1),(472,1),(473,1),(515,1),(522,1)}
       438:{1,2,5,7}:{(397,1),(398,1),(410,1),(473,1)}
       439:{2,4,6}:{(399,1),(403,1),(411,1),(469,1),(475,1)}
       440:{1,3,6}:{(400,1),(404,1),(470,1),(475,1)}
       441:{1,2,4,6}:{(401,1),(405,1),(413,1),(471,1),(476,1),(477,1),(486,1)}
       442:{1,2,5}:{(402,1),(414,1)}
       443:{1,2,4,5}:{(403,1),(474,1),(478,1),(526,1),(530,1),(547,1)}
       444:{2,3,5}:{(403,1),(404,1),(475,1),(478,1),(479,1)}
       445:{1,3,4}:{(404,1),(405,1),(479,1)}
       446:{2,5,7}:{(406,1),(411,1),(460,1),(469,1)}
       447:{1,3,5,7}:{(407,1),(412,1),(415,1),(461,1),(470,1),(481,1),(482,1)}
       448:{1,4,7}:{(408,1),(413,1),(416,1)}
       449:{1,3,5,7}:{(409,1),(414,1),(417,1),(463,1),(472,1),(483,1),(484,1)}
       450:{1,3,6}:{(410,1),(418,1),(464,1),(473,1)}
       451:{1,2,5,6}:{(411,1),(474,1),(480,1),(485,1),(547,1),(552,1)}
       452:{2,3,5,6}:{(411,1),(412,1),(475,1),(481,1),(485,1),(486,1),(525,1),(543,1),(546,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(419,1),(482,1),(486,1),(487,1)}
       454:{1,4,5}:{(413,1),(414,1),(420,1)}
       455:{3,4,7}:{(415,1),(416,1),(419,1)}
       456:{2,4,5,7}:{(416,1),(417,1),(420,1),(421,1),(483,1),(488,1),(489,1)}
       457:{2,3,5,6}:{(417,1),(418,1),(422,1),(467,1),(484,1),(489,1),(518,1),(543,1),(546,1)}
       458:{3,4,5}:{(419,1),(420,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(446,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(447,1),(491,1),(537,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(448,1),(493,1),(510,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(450,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{2,4,7}:{(434,1),(439,1),(446,1),(498,1)}
       470:{1,3,7}:{(435,1),(440,1),(498,1)}
       471:{1,2,4,7}:{(436,1),(441,1),(448,1),(499,1),(508,1)}
       472:{1,2,5,7}:{(437,1),(442,1),(449,1),(501,1),(532,1)}
       473:{1,2,6}:{(438,1),(450,1)}
       474:{1,2,4,6}:{(439,1),(443,1),(451,1),(497,1),(502,1),(511,1)}
       475:{2,3,6}:{(439,1),(440,1),(444,1),(498,1),(502,1)}
       476:{1,3,4,6}:{(440,1),(441,1),(445,1),(499,1),(503,1),(504,1),(537,1)}
       477:{1,2,4,5}:{(441,1),(442,1),(454,1),(504,1),(512,1)}
       478:{1,3,5}:{(443,1),(444,1),(502,1),(506,1)}
       479:{2,3,4}:{(444,1),(445,1),(506,1)}
       480:{1,2,5,7}:{(446,1),(451,1),(490,1),(497,1),(507,1)}
       481:{2,3,5,7}:{(446,1),(447,1),(452,1),(491,1),(498,1),(507,1),(508,1),(532,1)}
       482:{1,3,4,7}:{(447,1),(448,1),(453,1),(455,1),(508,1)}
       483:{1,4,5,7}:{(448,1),(449,1),(454,1),(456,1),(510,1)}
       484:{1,3,5,6}:{(449,1),(450,1),(457,1),(494,1),(501,1),(510,1),(537,1)}
       485:{1,3,5,6}:{(451,1),(452,1),(502,1),(507,1),(511,1),(539,1),(549,1),(551,1)}
       486:{2,4,6}:{(452,1),(453,1),(508,1),(511,1),(512,1)}
       487:{1,3,4,5}:{(453,1),(454,1),(458,1),(504,1),(512,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(458,1),(495,1),(513,1)}
       489:{2,4,6}:{(456,1),(457,1),(459,1),(510,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(481,1),(514,1),(515,1),(546,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(482,1),(515,1),(516,1),(529,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,4,7}:{(469,1),(474,1),(480,1),(519,1),(527,1)}
       498:{2,3,7}:{(469,1),(470,1),(475,1),(519,1)}
       499:{1,3,4,7}:{(470,1),(471,1),(476,1),(520,1),(521,1)}
       500:{1,2,4,5,7}:{(471,1),(472,1),(477,1),(483,1),(521,1),(522,1),(528,1)}
       501:{1,2,5,6}:{(472,1),(473,1),(484,1),(522,1),(543,1)}
       502:{1,3,6}:{(474,1),(475,1),(478,1),(519,1)}
       503:{2,3,4,6}:{(475,1),(476,1),(479,1),(486,1),(520,1),(524,1),(525,1),(546,1)}
       504:{1,3,5}:{(476,1),(477,1),(525,1)}
       505:{1,2,3,5}:{(478,1),(523,1),(526,1),(547,1)}
       506:{1,3,4}:{(478,1),(479,1),(526,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(485,1),(514,1),(519,1),(527,1),(542,1)}
       508:{2,4,7}:{(481,1),(482,1),(486,1),(527,1)}
       509:{1,3,4,5,7}:{(482,1),(483,1),(487,1),(488,1),(516,1),(521,1),(528,1),(529,1)}
       510:{1,4,6}:{(483,1),(484,1),(489,1)}
       511:{1,4,6}:{(485,1),(486,1),(527,1),(530,1)}
       512:{2,4,5}:{(486,1),(487,1),(525,1),(530,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(508,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(510,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,3,7}:{(497,1),(498,1),(502,1)}
       520:{2,3,4,7}:{(498,1),(499,1),(503,1),(508,1),(535,1),(536,1)}
       521:{1,3,5,7}:{(499,1),(500,1),(504,1),(536,1),(537,1)}
       522:{1,2,4,6}:{(500,1),(501,1),(510,1),(537,1),(541,1)}
       523:{1,2,3,6}:{(502,1),(505,1),(534,1),(538,1)}
       524:{1,3,4,6}:{(502,1),(503,1),(506,1),(511,1),(535,1),(538,1),(539,1),(551,1)}
       525:{2,3,5}:{(503,1),(504,1),(512,1),(539,1)}
       526:{1,2,4}:{(505,1),(506,1)}
       527:{1,4,7}:{(507,1),(508,1),(511,1)}
       528:{2,4,5,7}:{(508,1),(509,1),(512,1),(532,1),(536,1),(540,1),(541,1)}
       529:{1,3,4,6}:{(509,1),(510,1),(513,1),(533,1),(537,1),(541,1)}
       530:{1,4,5}:{(511,1),(512,1),(539,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(529,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(523,1),(544,1)}
       535:{1,3,4,7}:{(519,1),(520,1),(524,1),(527,1),(544,1),(545,1)}
       536:{2,3,5,7}:{(520,1),(521,1),(525,1),(528,1),(545,1),(546,1)}
       537:{1,3,6}:{(521,1),(522,1),(546,1)}
       538:{1,2,4,6}:{(523,1),(524,1),(526,1),(544,1),(547,1),(552,1)}
       539:{1,3,5}:{(524,1),(525,1),(530,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(530,1),(542,1),(545,1),(548,1)}
       541:{2,4,6}:{(528,1),(529,1),(543,1),(546,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(538,1),(550,1)}
       545:{1,3,5,7}:{(535,1),(536,1),(539,1),(540,1),(550,1),(551,1)}
       546:{2,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5}:{(538,1),(539,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,3,6}:{(545,1),(546,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1511 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(67,1),(149,1),(234,1),(254,1),(259,1),(364,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(102,1),(412,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(311,1),(411,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(146,1),(254,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(259,1),(365,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(452,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(149,1),(346,1),(363,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(104,1),(204,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(311,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(99,1),(119,1),(121,1),(185,1),(200,1),(315,1),(322,1),(412,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(202,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(261,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(254,1),(374,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(256,1),(283,1),(363,1),(387,1),(390,1),(452,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(143,1),(167,1),(169,1),(242,1),(257,1),(366,1),(373,1),(452,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(259,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(412,1),(419,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(185,1),(204,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(206,1),(227,1),(231,1),(318,1),(336,1),(339,1),(418,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(311,1),(421,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(313,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(195,1),(300,1),(405,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(74,1),(81,1),(138,1),(158,1),(163,1),(239,1),(248,1),(251,1),(271,1)}
        41:{1,3,4,5,6}:{(26,1),(65,1),(66,1),(80,1),(136,1),(245,1),(267,1),(269,1),(359,1),(374,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(69,1),(150,1),(238,1),(372,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(519,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(452,1),(459,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(242,1),(261,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(263,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(448,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(365,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(252,1),(355,1),(366,1),(471,1)}
        63:{1,2,4,6}:{(40,1),(43,1),(95,1),(96,1),(97,1),(295,1),(327,1)}
        64:{1,2,3,5,7}:{(40,1),(97,1),(98,1),(122,1),(190,1),(194,1),(213,1),(297,1),(326,1)}
        65:{2,4,5,6}:{(41,1),(46,1),(94,1),(99,1),(100,1),(119,1),(185,1),(295,1),(401,1)}
        66:{1,3,4,5,7}:{(41,1),(48,1),(100,1),(101,1),(120,1),(186,1),(303,1),(323,1),(325,1),(407,1),(421,1)}
        67:{1,2,3,5}:{(93,1),(102,1),(180,1),(198,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(106,1),(110,1),(198,1),(287,1)}
        69:{2,3,4,6}:{(42,1),(46,1),(94,1),(106,1),(108,1),(204,1),(295,1),(419,1)}
        70:{2,3,4,5,7}:{(42,1),(47,1),(107,1),(108,1),(109,1),(131,1),(205,1),(211,1),(230,1),(296,1),(320,1),(404,1),(418,1),(420,1),(476,1),(493,1)}
        71:{1,3,4}:{(43,1),(104,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(105,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(538,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(185,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(537,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(300,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(320,1),(418,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(411,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(254,1)}
        94:{2,3,5,6}:{(65,1),(69,1),(136,1),(137,1),(374,1)}
        95:{1,3,4,6}:{(63,1),(71,1),(135,1),(138,1),(139,1),(158,1),(248,1)}
        96:{1,2,4,5}:{(63,1),(138,1),(163,1),(238,1),(272,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(139,1),(350,1),(377,1)}
        98:{1,2,3,6,7}:{(64,1),(74,1),(142,1),(170,1),(248,1),(270,1),(352,1),(511,1)}
        99:{1,4,5,6}:{(65,1),(75,1),(136,1),(143,1),(166,1),(341,1),(436,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(77,1),(137,1),(143,1),(144,1),(167,1),(242,1),(350,1),(444,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(356,1),(357,1),(448,1)}
       102:{1,2,4}:{(67,1),(146,1)}
       103:{1,2,3,5,7}:{(67,1),(134,1),(148,1),(149,1),(235,1),(255,1),(259,1),(388,1),(389,1),(470,1)}
       104:{2,3,4}:{(71,1),(146,1),(150,1)}
       105:{2,4,5}:{(68,1),(150,1),(152,1)}
       106:{1,3,4,6}:{(68,1),(69,1),(75,1),(136,1),(152,1),(154,1),(158,1),(254,1),(341,1)}
       107:{1,3,4,5,7}:{(68,1),(70,1),(76,1),(153,1),(154,1),(155,1),(159,1),(255,1),(266,1),(272,1),(286,1),(342,1),(365,1),(372,1),(377,1),(452,1),(459,1),(461,1),(507,1),(520,1)}
       108:{2,3,4,7}:{(69,1),(77,1),(137,1),(154,1),(261,1),(350,1),(459,1)}
       109:{2,3,4,6}:{(70,1),(78,1),(155,1),(157,1),(178,1),(262,1),(285,1),(351,1),(371,1),(447,1),(506,1)}
       110:{1,3,5}:{(71,1),(72,1),(150,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(151,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(152,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(153,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(516,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(518,1),(519,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(242,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(355,1),(370,1),(384,1),(386,1),(448,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(372,1),(459,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(452,1)}
       133:{1,2,4,6}:{(93,1),(102,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(311,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(204,1),(295,1),(298,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(106,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(108,1),(186,1),(187,1),(421,1)}
       138:{1,3,5}:{(95,1),(96,1),(183,1)}
       139:{1,3,4,7}:{(95,1),(97,1),(184,1),(190,1),(213,1)}
       140:{1,2,4,5,6}:{(96,1),(99,1),(112,1),(185,1),(189,1),(192,1),(193,1),(217,1),(295,1),(322,1),(327,1),(401,1),(408,1)}
       141:{1,2,4,5,7}:{(96,1),(97,1),(190,1),(193,1),(194,1),(296,1),(307,1)}
       142:{1,2,4,6,7}:{(97,1),(98,1),(114,1),(191,1),(193,1),(194,1),(400,1),(480,1),(532,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(116,1),(186,1),(195,1),(220,1),(391,1),(472,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(300,1)}
       145:{1,3,5,6,7}:{(101,1),(120,1),(196,1),(197,1),(310,1),(407,1)}
       146:{1,3,4}:{(102,1),(104,1),(198,1)}
       147:{1,2,4,5}:{(102,1),(105,1),(180,1),(198,1),(200,1),(287,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(199,1),(202,1),(502,1)}
       149:{1,2,3,6}:{(103,1),(202,1),(292,1),(312,1),(434,1)}
       150:{2,3,5}:{(104,1),(105,1),(110,1),(198,1),(204,1)}
       151:{2,3,4,7}:{(104,1),(111,1),(199,1),(205,1),(206,1),(418,1),(541,1)}
       152:{2,4,6}:{(105,1),(106,1),(185,1),(204,1),(207,1)}
       153:{2,4,5,7}:{(105,1),(107,1),(205,1),(207,1),(208,1),(320,1),(321,1),(418,1),(495,1),(539,1)}
       154:{1,3,4,7}:{(106,1),(108,1),(116,1),(186,1),(207,1),(213,1),(311,1),(391,1)}
       155:{1,3,4,6}:{(107,1),(109,1),(117,1),(208,1),(210,1),(214,1),(312,1),(327,1),(340,1),(392,1),(412,1),(419,1),(530,1)}
       156:{2,3,4,6,7}:{(108,1),(109,1),(118,1),(187,1),(209,1),(211,1),(231,1),(302,1),(318,1),(339,1),(400,1),(418,1),(483,1),(484,1),(493,1),(529,1)}
       157:{2,3,5,6}:{(109,1),(119,1),(210,1),(211,1),(212,1),(223,1),(334,1),(401,1),(482,1),(528,1)}
       158:{1,3,6}:{(110,1),(112,1),(204,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(205,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(206,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(207,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(208,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(538,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(300,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(418,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(146,1),(232,1),(233,1),(254,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(149,1),(236,1),(237,1),(363,1),(441,1),(471,1),(508,1)}
       183:{2,3,5}:{(135,1),(138,1),(232,1),(238,1)}
       184:{2,3,4,7}:{(135,1),(139,1),(233,1),(240,1),(261,1),(350,1)}
       185:{2,5,6}:{(136,1),(152,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(154,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(448,1)}
       188:{1,3,4,5}:{(138,1),(238,1),(245,1),(272,1),(372,1)}
       189:{1,3,5,6}:{(138,1),(140,1),(158,1),(239,1),(245,1),(247,1),(248,1),(374,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,4,6,7}:{(139,1),(142,1),(160,1),(241,1),(248,1),(249,1),(270,1),(361,1),(377,1),(443,1),(509,1),(545,1)}
       192:{1,2,4,5,7}:{(140,1),(143,1),(161,1),(242,1),(247,1),(250,1),(273,1),(350,1),(373,1),(377,1),(444,1),(450,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(251,1),(351,1),(361,1)}
       194:{1,2,5,7}:{(142,1),(163,1),(249,1),(251,1),(444,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(167,1),(252,1),(444,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(356,1),(450,1),(451,1)}
       198:{1,3,5}:{(146,1),(147,1),(150,1),(254,1)}
       199:{1,3,4,7}:{(146,1),(148,1),(151,1),(255,1),(256,1),(452,1),(526,1)}
       200:{1,2,4,6}:{(147,1),(152,1),(234,1),(254,1),(257,1),(341,1)}
       201:{1,2,4,5,7}:{(147,1),(148,1),(153,1),(235,1),(255,1),(257,1),(258,1),(259,1),(286,1),(342,1),(365,1),(366,1),(388,1),(452,1),(467,1),(524,1)}
       202:{1,2,4,6}:{(148,1),(149,1),(256,1),(259,1)}
       203:{1,2,3,5,6}:{(149,1),(237,1),(259,1),(260,1),(347,1),(364,1),(368,1),(441,1),(456,1),(469,1),(470,1),(525,1)}
       204:{2,3,6}:{(150,1),(152,1),(158,1),(254,1),(261,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(153,1),(159,1),(255,1),(261,1),(262,1),(263,1),(522,1),(550,1)}
       206:{2,3,4,6}:{(151,1),(160,1),(256,1),(262,1),(263,1),(371,1)}
       207:{2,4,7}:{(152,1),(154,1),(242,1),(261,1)}
       208:{2,4,6}:{(153,1),(155,1),(262,1),(265,1)}
       209:{1,3,4,6,7}:{(154,1),(155,1),(156,1),(165,1),(243,1),(264,1),(266,1),(270,1),(356,1),(363,1),(377,1),(390,1),(435,1),(448,1),(452,1),(459,1),(513,1),(520,1),(545,1)}
       210:{1,3,5,6}:{(155,1),(157,1),(166,1),(265,1),(266,1),(267,1),(374,1),(385,1),(436,1),(544,1)}
       211:{2,3,5,7}:{(156,1),(157,1),(167,1),(266,1),(268,1),(279,1),(384,1),(444,1),(512,1),(543,1)}
       212:{2,4,5,6}:{(157,1),(267,1),(268,1),(269,1),(371,1)}
       213:{1,3,7}:{(158,1),(161,1),(261,1)}
       214:{1,3,6}:{(159,1),(162,1),(262,1)}
       215:{1,3,5}:{(160,1),(163,1),(263,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(264,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(265,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(355,1),(384,1),(451,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(448,1),(459,1)}
       232:{1,3,5}:{(179,1),(180,1),(183,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(184,1),(289,1),(311,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(200,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(202,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(203,1),(293,1),(294,1),(398,1),(411,1),(489,1),(501,1),(542,1)}
       238:{2,4,5}:{(183,1),(188,1),(287,1),(295,1)}
       239:{2,3,5,6}:{(183,1),(185,1),(189,1),(204,1),(288,1),(295,1),(297,1),(298,1),(401,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(289,1),(296,1),(298,1)}
       241:{2,3,4,6,7}:{(184,1),(191,1),(206,1),(290,1),(298,1),(299,1),(318,1),(399,1),(400,1),(403,1),(418,1),(478,1),(483,1),(529,1)}
       242:{2,5,7}:{(185,1),(186,1),(207,1),(300,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(300,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(211,1),(301,1),(302,1),(310,1),(410,1),(484,1)}
       245:{1,3,4,6}:{(188,1),(189,1),(295,1),(303,1),(327,1),(419,1)}
       246:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(303,1),(304,1),(307,1),(404,1),(407,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(297,1),(303,1),(305,1),(421,1)}
       248:{1,3,6}:{(190,1),(193,1),(298,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(299,1),(306,1),(307,1),(551,1)}
       250:{1,2,4,6,7}:{(192,1),(193,1),(195,1),(300,1),(305,1),(308,1),(400,1),(405,1),(409,1)}
       251:{1,2,5,6}:{(193,1),(194,1),(306,1),(401,1),(532,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(220,1),(472,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(222,1),(302,1),(309,1),(310,1),(405,1),(410,1),(481,1)}
       254:{1,3,6}:{(198,1),(200,1),(204,1),(311,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(201,1),(205,1),(311,1),(312,1),(313,1),(500,1),(542,1)}
       256:{1,3,4,6}:{(199,1),(202,1),(206,1),(312,1),(313,1),(412,1)}
       257:{1,2,4,7}:{(200,1),(207,1),(291,1),(311,1),(391,1)}
       258:{1,2,4,6}:{(201,1),(208,1),(292,1),(312,1),(315,1),(340,1),(392,1),(412,1),(434,1)}
       259:{1,2,5}:{(202,1),(313,1)}
       260:{1,2,4,6}:{(203,1),(294,1),(316,1),(317,1),(412,1),(487,1),(502,1)}
       261:{2,3,7}:{(204,1),(207,1),(213,1),(311,1)}
       262:{2,3,6}:{(205,1),(208,1),(214,1),(312,1)}
       263:{2,3,5}:{(206,1),(215,1),(313,1),(320,1)}
       264:{2,4,6,7}:{(207,1),(208,1),(209,1),(300,1),(318,1),(321,1),(418,1),(533,1),(539,1)}
       265:{2,5,6}:{(208,1),(210,1),(321,1)}
       266:{1,3,5,7}:{(209,1),(210,1),(211,1),(220,1),(321,1),(323,1),(421,1),(432,1),(472,1),(551,1)}
       267:{1,4,5,6}:{(210,1),(212,1),(322,1),(323,1),(327,1),(412,1)}
       268:{2,4,5,7}:{(211,1),(212,1),(302,1),(323,1),(325,1),(418,1)}
       269:{3,4,5,6}:{(212,1),(223,1),(325,1),(419,1),(482,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(318,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(319,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(320,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(321,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(322,1),(327,1),(329,1),(330,1),(334,1),(424,1),(426,1),(497,1),(535,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(405,1),(485,1),(533,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(238,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(239,1),(254,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(240,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(241,1),(256,1),(344,1),(345,1),(349,1),(363,1),(435,1),(438,1),(441,1),(452,1)}
       291:{1,2,5,7}:{(234,1),(242,1),(257,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(259,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(260,1),(349,1),(452,1),(514,1)}
       295:{2,4,6}:{(238,1),(239,1),(245,1),(341,1),(350,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(246,1),(342,1),(350,1),(351,1),(444,1)}
       297:{2,3,5,7}:{(239,1),(242,1),(247,1),(261,1),(343,1),(350,1),(352,1),(444,1)}
       298:{2,3,6}:{(240,1),(248,1),(344,1),(351,1)}
       299:{2,3,5,7}:{(241,1),(249,1),(263,1),(345,1),(353,1),(354,1),(444,1),(512,1),(543,1)}
       300:{2,6,7}:{(242,1),(243,1)}
       301:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(266,1),(355,1),(356,1),(448,1),(451,1),(513,1)}
       302:{2,4,6,7}:{(244,1),(268,1),(356,1),(357,1)}
       303:{1,3,4,7}:{(245,1),(247,1),(350,1),(377,1),(459,1)}
       304:{1,3,4,6}:{(246,1),(248,1),(351,1),(359,1),(361,1),(447,1)}
       305:{1,3,6,7}:{(247,1),(248,1),(250,1),(352,1),(448,1)}
       306:{1,3,5,6}:{(248,1),(249,1),(251,1),(353,1),(361,1),(509,1),(544,1)}
       307:{1,4,5,7}:{(249,1),(272,1),(354,1),(361,1),(377,1)}
       308:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(273,1),(355,1),(360,1),(444,1),(546,1)}
       309:{1,4,5,6,7}:{(252,1),(253,1),(277,1),(356,1),(362,1),(503,1)}
       310:{3,5,6,7}:{(253,1),(279,1),(357,1),(448,1),(512,1)}
       311:{1,3,7}:{(254,1),(257,1),(261,1)}
       312:{1,3,6}:{(255,1),(258,1),(262,1)}
       313:{1,3,5}:{(256,1),(259,1),(263,1),(365,1)}
       314:{1,2,4,6,7}:{(257,1),(258,1),(264,1),(346,1),(363,1),(366,1),(390,1),(435,1),(452,1),(471,1),(524,1)}
       315:{1,2,5,6}:{(258,1),(259,1),(265,1),(364,1),(366,1),(385,1),(436,1)}
       316:{1,2,4,5}:{(259,1),(260,1),(365,1),(368,1),(454,1)}
       317:{1,3,4,6}:{(260,1),(349,1),(368,1),(369,1),(441,1),(525,1),(526,1)}
       318:{2,3,6,7}:{(261,1),(262,1),(264,1),(270,1),(363,1),(370,1),(448,1),(550,1)}
       319:{2,3,5,6}:{(262,1),(263,1),(265,1),(271,1),(364,1),(370,1),(371,1),(374,1)}
       320:{2,4,5}:{(263,1),(272,1),(365,1),(371,1),(372,1)}
       321:{2,5,7}:{(264,1),(265,1),(266,1)}
       322:{2,4,5,6}:{(265,1),(267,1),(371,1),(373,1),(374,1)}
       323:{1,4,5,7}:{(266,1),(267,1),(268,1),(356,1),(373,1),(377,1),(452,1)}
       324:{1,3,4,5,6}:{(267,1),(269,1),(278,1),(374,1),(375,1),(376,1),(378,1),(453,1),(463,1),(504,1)}
       325:{3,4,5,7}:{(268,1),(269,1),(279,1),(357,1),(459,1),(512,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(370,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(371,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(372,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(373,1),(377,1),(380,1),(384,1),(464,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(374,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(448,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(295,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(296,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(297,1),(311,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(298,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(299,1),(313,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(300,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(316,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(317,1),(398,1),(399,1),(542,1)}
       350:{2,4,7}:{(295,1),(297,1),(303,1),(391,1)}
       351:{2,4,6}:{(296,1),(298,1),(304,1),(392,1),(401,1)}
       352:{2,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(393,1),(400,1)}
       353:{2,3,5,6}:{(298,1),(299,1),(306,1),(394,1),(401,1),(403,1),(478,1),(482,1),(528,1)}
       354:{2,4,5,7}:{(299,1),(307,1),(320,1),(395,1),(403,1),(404,1),(418,1)}
       355:{2,5,6,7}:{(300,1),(301,1),(321,1),(405,1),(533,1)}
       356:{1,4,6,7}:{(301,1),(302,1),(323,1),(405,1)}
       357:{3,4,6,7}:{(302,1),(310,1),(325,1)}
       358:{1,3,4,6,7}:{(303,1),(304,1),(305,1),(400,1),(407,1),(409,1),(483,1)}
       359:{1,3,5,6}:{(304,1),(401,1),(407,1),(408,1),(482,1)}
       360:{1,3,5,6,7}:{(305,1),(306,1),(308,1),(326,1),(402,1),(407,1),(409,1),(531,1),(551,1)}
       361:{1,4,6}:{(306,1),(307,1),(403,1)}
       362:{1,3,5,6,7}:{(309,1),(310,1),(333,1),(406,1),(410,1),(527,1)}
       363:{1,3,6,7}:{(311,1),(312,1),(314,1),(318,1),(411,1),(542,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(315,1),(319,1),(411,1),(412,1)}
       365:{1,4,5}:{(313,1),(320,1),(412,1)}
       366:{1,2,5,7}:{(314,1),(315,1),(321,1),(411,1),(432,1),(472,1)}
       367:{1,2,4,5,6}:{(315,1),(316,1),(322,1),(397,1),(412,1),(414,1),(415,1),(424,1),(473,1),(487,1),(497,1),(499,1),(528,1)}
       368:{1,3,5}:{(316,1),(317,1),(416,1)}
       369:{2,3,4,6}:{(317,1),(399,1),(416,1),(417,1),(478,1),(487,1),(540,1),(541,1)}
       370:{2,3,5,7}:{(318,1),(319,1),(321,1),(326,1),(411,1),(418,1),(421,1)}
       371:{2,4,6}:{(319,1),(320,1),(327,1),(412,1),(418,1),(419,1)}
       372:{3,4,5}:{(320,1),(419,1)}
       373:{2,4,5,7}:{(321,1),(322,1),(323,1),(405,1),(418,1),(421,1)}
       374:{3,5,6}:{(322,1),(419,1),(421,1)}
       375:{1,3,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(406,1),(421,1),(423,1),(425,1),(486,1),(496,1),(527,1)}
       376:{2,4,5,6}:{(324,1),(334,1),(422,1),(423,1),(424,1),(426,1),(487,1),(497,1),(528,1)}
       377:{1,4,7}:{(326,1),(327,1),(418,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(419,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(421,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(533,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(350,1)}
       392:{1,4,6}:{(342,1),(344,1),(351,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(352,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(353,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(438,1),(452,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(355,1),(366,1),(437,1),(440,1),(451,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(368,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(369,1),(442,1),(443,1),(514,1),(550,1)}
       400:{2,4,6,7}:{(350,1),(351,1),(352,1),(358,1),(435,1),(444,1)}
       401:{2,5,6}:{(351,1),(359,1),(436,1),(444,1)}
       402:{2,3,5,6,7}:{(352,1),(353,1),(355,1),(360,1),(370,1),(437,1),(444,1),(446,1),(448,1),(508,1),(512,1),(543,1)}
       403:{2,4,6}:{(353,1),(354,1),(361,1),(438,1),(447,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(447,1),(459,1),(512,1)}
       405:{2,4,6,7}:{(355,1),(356,1),(373,1),(448,1)}
       406:{1,3,4,6,7}:{(356,1),(357,1),(362,1),(375,1),(448,1),(449,1),(513,1)}
       407:{1,3,5,7}:{(358,1),(359,1),(444,1),(450,1),(512,1)}
       408:{1,4,5,6}:{(359,1),(361,1),(445,1),(450,1),(544,1)}
       409:{1,4,6,7}:{(360,1),(361,1),(377,1),(446,1),(450,1)}
       410:{2,5,6,7}:{(362,1),(384,1),(449,1),(451,1),(543,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(366,1),(370,1),(452,1)}
       412:{1,4,6}:{(364,1),(365,1),(371,1),(452,1)}
       413:{1,3,4,5}:{(365,1),(368,1),(372,1),(453,1),(454,1)}
       414:{1,2,4,5,7}:{(366,1),(367,1),(373,1),(440,1),(452,1),(455,1),(464,1),(503,1),(514,1),(523,1),(524,1),(543,1)}
       415:{1,3,5,6}:{(367,1),(368,1),(374,1),(441,1),(453,1),(455,1),(456,1),(525,1)}
       416:{2,3,5}:{(368,1),(369,1),(454,1),(457,1)}
       417:{1,3,4,6}:{(369,1),(443,1),(457,1),(458,1),(509,1),(515,1),(548,1),(549,1)}
       418:{2,4,7}:{(370,1),(371,1),(377,1),(452,1),(459,1)}
       419:{3,4,6}:{(371,1),(372,1),(374,1),(459,1)}
       420:{2,3,4,5}:{(372,1),(379,1),(454,1),(460,1),(461,1),(522,1)}
       421:{3,5,7}:{(373,1),(374,1),(448,1),(459,1)}
       422:{2,3,5,6}:{(374,1),(376,1),(460,1),(462,1),(463,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(384,1),(449,1),(462,1),(464,1),(465,1),(514,1),(523,1),(543,1)}
       424:{1,4,5,6}:{(376,1),(385,1),(463,1),(464,1),(466,1),(515,1),(544,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(459,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(400,1),(472,1)}
       436:{1,5,6}:{(392,1),(401,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(402,1),(411,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(403,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(404,1),(413,1),(475,1),(476,1),(486,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(405,1),(414,1),(474,1),(477,1),(485,1),(529,1),(533,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(416,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(417,1),(479,1),(480,1),(534,1),(552,1)}
       444:{2,5,7}:{(400,1),(401,1),(407,1),(472,1)}
       445:{2,4,5,6}:{(401,1),(403,1),(408,1),(473,1),(481,1),(482,1),(528,1)}
       446:{2,4,6,7}:{(402,1),(403,1),(409,1),(418,1),(474,1),(481,1),(483,1)}
       447:{3,4,6}:{(403,1),(404,1),(482,1)}
       448:{3,6,7}:{(405,1),(421,1)}
       449:{2,4,6,7}:{(406,1),(410,1),(423,1),(484,1),(485,1),(533,1)}
       450:{1,4,5,7}:{(407,1),(408,1),(409,1),(481,1),(551,1)}
       451:{1,5,6,7}:{(410,1),(432,1),(485,1),(551,1)}
       452:{1,4,7}:{(411,1),(412,1),(418,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(415,1),(419,1),(486,1),(487,1)}
       454:{2,4,5}:{(413,1),(416,1),(487,1),(488,1)}
       455:{1,3,5,7}:{(414,1),(415,1),(421,1),(477,1),(486,1),(489,1),(542,1)}
       456:{2,3,5,6}:{(415,1),(416,1),(478,1),(487,1),(489,1),(490,1),(497,1),(528,1),(540,1)}
       457:{1,3,5}:{(416,1),(417,1),(488,1),(491,1)}
       458:{1,2,4,6}:{(417,1),(480,1),(491,1),(492,1),(532,1),(538,1)}
       459:{3,4,7}:{(418,1),(419,1),(421,1)}
       460:{2,3,4,6}:{(419,1),(420,1),(422,1),(426,1),(487,1),(493,1),(494,1),(540,1)}
       461:{1,3,4,5}:{(420,1),(427,1),(488,1),(494,1),(495,1),(500,1),(536,1)}
       462:{2,3,5,7}:{(421,1),(422,1),(423,1),(484,1),(493,1),(496,1)}
       463:{1,3,5,6}:{(422,1),(424,1),(494,1),(496,1),(497,1)}
       464:{1,4,5,7}:{(423,1),(424,1),(432,1),(485,1),(496,1),(498,1),(534,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(533,1)}
       472:{1,5,7}:{(435,1),(436,1),(444,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(445,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(446,1),(452,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(447,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(454,1),(506,1),(507,1),(514,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(448,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(457,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(458,1),(510,1),(511,1)}
       481:{2,4,5,7}:{(444,1),(445,1),(446,1),(450,1),(503,1),(512,1),(543,1)}
       482:{3,5,6}:{(445,1),(447,1),(512,1)}
       483:{3,4,6,7}:{(446,1),(447,1),(448,1),(459,1),(512,1)}
       484:{2,3,6,7}:{(448,1),(449,1),(462,1),(513,1)}
       485:{1,4,6,7}:{(449,1),(451,1),(464,1),(513,1)}
       486:{1,3,4,7}:{(452,1),(453,1),(455,1),(459,1),(514,1)}
       487:{2,4,6}:{(453,1),(454,1),(456,1),(514,1),(515,1)}
       488:{1,4,5}:{(454,1),(457,1),(515,1)}
       489:{2,3,5,7}:{(455,1),(456,1),(508,1),(514,1),(517,1),(523,1),(543,1),(550,1)}
       490:{1,3,5,6}:{(456,1),(457,1),(509,1),(515,1),(517,1),(518,1),(544,1),(548,1)}
       491:{1,2,5}:{(457,1),(458,1)}
       492:{1,2,3,6}:{(458,1),(511,1),(519,1),(548,1)}
       493:{2,3,4,7}:{(459,1),(460,1),(462,1),(465,1),(514,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(460,1),(461,1),(463,1),(466,1),(515,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(461,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(464,1),(513,1),(520,1),(523,1)}
       497:{2,5,6}:{(463,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(481,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(482,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(483,1),(486,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(488,1),(530,1),(534,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(489,1),(529,1),(531,1),(533,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(491,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(492,1),(552,1)}
       512:{3,5,7}:{(481,1),(482,1),(483,1)}
       513:{1,3,6,7}:{(484,1),(485,1),(496,1),(533,1)}
       514:{2,4,7}:{(486,1),(487,1),(489,1),(534,1)}
       515:{1,4,6}:{(487,1),(488,1),(490,1),(534,1)}
       516:{1,2,4,5}:{(488,1),(491,1),(495,1),(535,1),(536,1),(538,1)}
       517:{1,3,5,7}:{(489,1),(490,1),(531,1),(534,1),(537,1),(551,1),(552,1)}
       518:{1,2,5,6}:{(490,1),(491,1),(497,1),(532,1),(535,1),(537,1)}
       519:{1,2,3,5}:{(491,1),(492,1),(536,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(534,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(536,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(533,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(512,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(514,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(517,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{2,6,7}:{(513,1),(523,1)}
       534:{1,4,7}:{(514,1),(515,1),(517,1)}
       535:{1,2,4,6}:{(515,1),(516,1),(518,1),(521,1),(547,1),(548,1)}
       536:{1,3,5}:{(516,1),(522,1),(548,1),(549,1)}
       537:{1,2,5,7}:{(517,1),(518,1),(523,1),(546,1),(547,1)}
       538:{1,2,4}:{(519,1),(549,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(534,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(533,1),(537,1)}
       547:{1,2,4,7}:{(534,1),(535,1),(537,1),(539,1),(552,1)}
       548:{1,3,6}:{(535,1),(536,1),(540,1),(552,1)}
       549:{1,3,4}:{(536,1),(538,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1512 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(64,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(77,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(79,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(81,1),(89,1),(106,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(79,1),(104,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(106,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(61,1)}
        47:{2,5,6}:{(33,1),(34,1),(61,1),(64,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(62,1),(64,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(63,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(62,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(64,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,5,6}:{(46,1),(47,1),(77,1)}
        62:{1,4,6,7}:{(46,1),(48,1),(56,1),(77,1),(88,1)}
        63:{2,4,5,6}:{(47,1),(49,1),(58,1),(76,1),(79,1),(80,1),(104,1)}
        64:{2,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        65:{1,3,5,6,7}:{(50,1),(78,1),(81,1),(106,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(80,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(104,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(77,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(79,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{1,4,5,6}:{(61,1),(63,1),(72,1),(91,1),(92,1)}
        77:{1,5,7}:{(61,1),(62,1),(64,1)}
        78:{2,5,6,7}:{(64,1),(65,1),(90,1),(93,1)}
        79:{3,5,6}:{(63,1),(74,1),(94,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(75,1),(92,1),(93,1),(94,1),(115,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(91,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(77,1),(78,1),(103,1)}
        91:{1,3,5,6}:{(76,1),(79,1),(87,1),(104,1),(105,1)}
        92:{1,4,5,7}:{(76,1),(77,1),(80,1),(88,1),(103,1),(105,1)}
        93:{2,4,6,7}:{(78,1),(80,1),(81,1),(103,1),(106,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(106,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(104,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(105,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(92,1),(93,1),(113,1)}
       104:{2,5,6}:{(91,1),(101,1),(114,1),(115,1)}
       105:{1,3,5,7}:{(91,1),(92,1),(94,1),(102,1),(113,1),(115,1)}
       106:{3,6,7}:{(93,1),(94,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(105,1),(106,1),(120,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,5,7}:{(104,1),(105,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1513 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1514 :   0:{1,2,3,6,7}:{(1,1),(2,1),(43,1),(95,1),(149,1),(240,1),(330,1),(446,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(26,1),(111,1),(121,1),(192,1),(292,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(128,1),(379,1),(403,1),(413,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(77,1),(98,1),(146,1),(174,1),(259,1),(497,1)}
         4:{1,3,4,6,7}:{(1,1),(10,1),(11,1),(15,1),(37,1),(43,1),(79,1),(147,1),(228,1),(330,1),(331,1),(427,1)}
         5:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(40,1),(43,1),(92,1),(240,1),(329,1),(342,1),(354,1),(362,1),(364,1)}
         6:{1,2,5,7}:{(1,1),(11,1),(13,1),(160,1),(342,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(15,1),(167,1),(427,1)}
         8:{1,2,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(51,1),(69,1),(133,1),(180,1),(222,1)}
         9:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(52,1),(187,1),(308,1),(465,1),(475,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(28,1),(53,1),(55,1),(67,1),(109,1),(114,1),(121,1),(180,1),(299,1),(300,1),(397,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(277,1),(382,1)}
        12:{1,2,4,6}:{(5,1),(7,1),(23,1),(24,1),(126,1),(380,1),(412,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(26,1),(120,1),(192,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(27,1),(60,1)}
        15:{1,3,4,7}:{(7,1),(24,1),(27,1),(28,1),(413,1)}
        16:{1,3,4,6,7}:{(8,1),(10,1),(29,1),(33,1),(45,1),(71,1),(77,1),(96,1),(162,1),(259,1),(260,1),(359,1)}
        17:{1,2,3,5,6}:{(9,1),(30,1),(31,1),(74,1),(77,1),(143,1),(174,1),(258,1),(271,1),(422,1),(430,1),(432,1)}
        18:{1,2,5,7}:{(8,1),(29,1),(31,1),(226,1),(271,1)}
        19:{1,2,4,7}:{(9,1),(30,1),(33,1),(233,1),(359,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(152,1),(160,1),(226,1),(350,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(34,1),(37,1),(43,1),(147,1),(227,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(37,1),(427,1),(428,1)}
        23:{1,2,4,5}:{(12,1),(40,1),(90,1),(342,1),(428,1)}
        24:{1,3,4,6}:{(12,1),(15,1),(40,1),(41,1),(43,1),(364,1),(365,1)}
        25:{1,2,5,6,7}:{(13,1),(36,1),(42,1),(160,1),(239,1),(252,1),(328,1),(344,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(37,1),(43,1),(87,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(43,1),(44,1)}
        28:{2,3,4,7}:{(15,1),(41,1),(44,1),(45,1),(167,1),(366,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(20,1),(46,1),(47,1),(207,1),(311,1)}
        30:{1,2,4,6}:{(17,1),(19,1),(48,1),(49,1),(185,1),(309,1),(474,1)}
        31:{1,2,5,6}:{(18,1),(46,1),(51,1),(133,1),(179,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(47,1),(48,1),(51,1),(52,1),(102,1)}
        33:{1,3,4,7}:{(19,1),(49,1),(52,1),(53,1),(475,1)}
        34:{2,3,5,6}:{(20,1),(21,1),(46,1),(55,1),(67,1),(109,1),(113,1),(120,1),(179,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(397,1),(398,1)}
        36:{1,3,5,6,7}:{(21,1),(25,1),(54,1),(58,1),(66,1),(119,1),(191,1),(277,1),(379,1)}
        37:{1,4,6}:{(21,1),(22,1),(55,1)}
        38:{1,3,4,5,7}:{(22,1),(27,1),(56,1),(59,1),(60,1),(61,1),(119,1),(125,1)}
        39:{1,2,4,5,6}:{(23,1),(26,1),(57,1),(62,1),(63,1),(120,1),(126,1),(206,1),(278,1),(296,1),(305,1),(312,1),(380,1)}
        40:{1,3,5}:{(23,1),(24,1),(64,1)}
        41:{2,3,4,6}:{(24,1),(28,1),(64,1),(65,1),(67,1),(126,1),(315,1),(316,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(58,1),(62,1),(66,1),(121,1),(302,1),(393,1),(400,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(60,1),(64,1),(67,1),(68,1)}
        45:{1,3,4,7}:{(28,1),(65,1),(68,1),(69,1),(215,1),(317,1)}
        46:{1,3,5,6}:{(29,1),(31,1),(34,1),(71,1),(77,1),(96,1),(161,1)}
        47:{1,4,5,7}:{(29,1),(35,1),(71,1),(359,1),(360,1)}
        48:{1,2,4,5}:{(30,1),(74,1),(141,1),(271,1),(360,1)}
        49:{1,3,4,6}:{(30,1),(33,1),(74,1),(75,1),(77,1),(432,1),(433,1)}
        50:{1,2,5,6,7}:{(31,1),(70,1),(76,1),(173,1),(226,1),(257,1),(323,1),(344,1)}
        51:{1,2,4,6}:{(31,1),(32,1),(71,1),(77,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(74,1),(77,1),(78,1)}
        53:{2,3,4,7}:{(33,1),(75,1),(78,1),(79,1),(233,1),(434,1)}
        54:{2,3,5,6,7}:{(34,1),(36,1),(70,1),(81,1),(95,1),(146,1),(152,1),(160,1),(226,1),(344,1),(347,1),(440,1)}
        55:{2,4,6}:{(34,1),(35,1),(37,1),(71,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(152,1),(442,1),(443,1)}
        57:{1,4,5,6}:{(37,1),(80,1),(84,1),(85,1),(227,1)}
        58:{1,4,6,7}:{(36,1),(37,1),(81,1),(84,1),(427,1)}
        59:{1,3,4,6}:{(37,1),(38,1),(43,1),(82,1),(85,1),(87,1)}
        60:{2,4,5,7}:{(38,1),(44,1),(87,1),(88,1),(90,1),(160,1),(167,1)}
        61:{1,3,4,5}:{(40,1),(89,1),(90,1),(428,1),(443,1)}
        62:{1,2,4,5,7}:{(39,1),(42,1),(84,1),(91,1),(160,1),(167,1),(255,1),(328,1),(345,1),(355,1),(363,1),(427,1)}
        63:{1,3,5,6}:{(39,1),(40,1),(43,1),(89,1),(91,1),(92,1),(346,1),(364,1)}
        64:{2,3,5}:{(40,1),(41,1),(90,1),(93,1)}
        65:{1,3,4,6}:{(41,1),(45,1),(93,1),(94,1),(96,1),(168,1),(266,1),(267,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(91,1),(95,1),(440,1)}
        67:{2,3,6}:{(43,1),(44,1),(87,1),(96,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(88,1),(93,1),(96,1),(97,1)}
        69:{1,2,4,7}:{(45,1),(94,1),(97,1),(98,1)}
        70:{1,3,5,6,7}:{(46,1),(50,1),(54,1),(100,1),(108,1),(132,1),(178,1),(207,1),(308,1)}
        71:{1,4,6}:{(46,1),(47,1),(55,1)}
        72:{1,3,4,5,7}:{(47,1),(52,1),(56,1),(101,1),(102,1),(103,1),(178,1),(184,1)}
        73:{1,2,4,5,6}:{(48,1),(51,1),(99,1),(104,1),(105,1),(179,1),(185,1),(208,1),(276,1),(296,1),(309,1),(376,1),(383,1)}
        74:{1,3,5}:{(48,1),(49,1),(106,1)}
        75:{2,3,4,6}:{(49,1),(53,1),(106,1),(107,1),(109,1),(185,1),(386,1),(387,1)}
        76:{1,2,4,6,7}:{(50,1),(51,1),(100,1),(104,1),(108,1),(180,1),(373,1),(393,1),(462,1)}
        77:{1,3,6}:{(51,1),(52,1),(109,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(102,1),(106,1),(109,1),(110,1)}
        79:{1,3,4,7}:{(53,1),(107,1),(110,1),(111,1),(285,1),(388,1)}
        80:{2,4,5,6}:{(55,1),(57,1),(99,1),(112,1),(113,1),(120,1),(179,1)}
        81:{2,4,6,7}:{(54,1),(55,1),(58,1),(100,1),(112,1),(114,1),(397,1)}
        82:{3,4,6}:{(55,1),(56,1),(113,1)}
        83:{2,3,4,5,7}:{(56,1),(60,1),(102,1),(115,1),(116,1),(124,1),(183,1),(197,1),(201,1),(212,1),(282,1),(397,1),(398,1),(483,1),(491,1),(529,1)}
        84:{1,4,5,7}:{(57,1),(58,1),(112,1),(119,1),(277,1)}
        85:{1,3,5,6}:{(57,1),(59,1),(113,1),(119,1),(120,1)}
        86:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(114,1),(119,1),(121,1),(125,1)}
        87:{2,4,6}:{(59,1),(60,1),(67,1),(120,1),(122,1)}
        88:{1,4,5,7}:{(60,1),(68,1),(122,1),(127,1),(207,1),(215,1)}
        89:{1,3,4,6}:{(61,1),(63,1),(125,1),(126,1),(380,1),(396,1)}
        90:{2,4,5}:{(61,1),(64,1),(126,1),(127,1)}
        91:{1,3,5,7}:{(62,1),(63,1),(66,1),(125,1),(128,1),(395,1),(413,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(67,1),(120,1),(126,1),(128,1),(129,1),(305,1),(315,1)}
        93:{1,3,5}:{(64,1),(65,1),(127,1),(130,1)}
        94:{1,2,4,6}:{(65,1),(69,1),(130,1),(131,1),(133,1),(220,1)}
        95:{2,3,6,7}:{(66,1),(67,1),(121,1),(128,1),(132,1),(400,1)}
        96:{1,3,6}:{(67,1),(68,1),(122,1),(133,1)}
        97:{1,2,5,7}:{(68,1),(69,1),(130,1),(133,1)}
        98:{1,2,3,7}:{(69,1),(131,1),(317,1)}
        99:{1,4,5,6}:{(71,1),(80,1),(135,1),(136,1),(161,1)}
       100:{1,4,6,7}:{(70,1),(71,1),(81,1),(135,1),(359,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(77,1),(82,1),(136,1),(138,1)}
       102:{2,4,5,7}:{(72,1),(78,1),(138,1),(139,1),(141,1),(226,1),(233,1)}
       103:{1,3,4,5}:{(74,1),(140,1),(141,1),(360,1),(443,1)}
       104:{1,2,4,5,7}:{(73,1),(76,1),(135,1),(142,1),(226,1),(233,1),(257,1),(326,1),(345,1),(359,1),(423,1),(431,1)}
       105:{1,3,5,6}:{(73,1),(74,1),(77,1),(140,1),(142,1),(143,1),(346,1),(432,1)}
       106:{2,3,5}:{(74,1),(75,1),(141,1),(144,1)}
       107:{1,3,4,6}:{(75,1),(79,1),(144,1),(145,1),(147,1),(234,1),(337,1),(338,1)}
       108:{1,3,6,7}:{(76,1),(77,1),(142,1),(146,1),(440,1)}
       109:{2,3,6}:{(77,1),(78,1),(138,1),(147,1)}
       110:{1,3,5,7}:{(78,1),(79,1),(139,1),(144,1),(147,1),(148,1)}
       111:{1,2,4,7}:{(79,1),(145,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(84,1),(135,1),(152,1),(160,1),(226,1)}
       113:{3,5,6}:{(80,1),(82,1),(152,1)}
       114:{3,4,6,7}:{(81,1),(82,1),(152,1),(440,1),(442,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(87,1),(138,1),(153,1),(155,1),(249,1),(348,1),(515,1),(520,1),(544,1)}
       116:{1,3,4,5,7}:{(83,1),(88,1),(139,1),(155,1),(156,1),(164,1),(166,1),(230,1),(232,1),(246,1),(262,1),(333,1),(359,1),(360,1),(427,1),(428,1),(442,1),(443,1),(519,1),(543,1)}
       117:{1,4,5,6,7}:{(84,1),(150,1),(157,1),(323,1),(343,1),(449,1)}
       118:{1,3,4,5,6}:{(85,1),(89,1),(151,1),(158,1),(159,1),(245,1),(254,1),(346,1),(358,1),(518,1)}
       119:{1,3,5,7}:{(84,1),(85,1),(86,1),(152,1),(160,1)}
       120:{2,5,6}:{(85,1),(87,1),(160,1),(161,1)}
       121:{2,4,6,7}:{(86,1),(87,1),(95,1),(160,1),(162,1),(167,1)}
       122:{1,4,6}:{(87,1),(88,1),(96,1),(161,1)}
       123:{1,2,4,5,7}:{(88,1),(97,1),(156,1),(163,1),(164,1),(169,1),(175,1),(257,1),(265,1),(271,1),(332,1),(359,1),(360,1),(431,1),(543,1),(545,1)}
       124:{2,3,4,5}:{(90,1),(165,1),(166,1),(264,1),(443,1),(453,1)}
       125:{1,3,4,7}:{(89,1),(91,1),(167,1),(427,1),(442,1)}
       126:{2,4,6}:{(89,1),(90,1),(92,1),(167,1),(168,1)}
       127:{1,4,5}:{(90,1),(93,1),(168,1)}
       128:{2,3,5,7}:{(91,1),(92,1),(95,1),(160,1),(167,1),(170,1),(355,1),(366,1)}
       129:{1,3,5,6}:{(92,1),(93,1),(96,1),(161,1),(168,1),(170,1),(171,1),(266,1)}
       130:{1,2,5}:{(93,1),(94,1)}
       131:{1,2,3,6}:{(94,1),(98,1),(172,1),(266,1)}
       132:{1,3,6,7}:{(95,1),(96,1),(162,1),(170,1),(173,1)}
       133:{1,2,6}:{(96,1),(97,1)}
       134:{1,2,3,5,7}:{(97,1),(98,1),(164,1),(172,1),(174,1),(175,1),(271,1),(430,1),(507,1),(545,1)}
       135:{1,4,5,7}:{(99,1),(100,1),(112,1),(178,1),(207,1)}
       136:{1,3,5,6}:{(99,1),(101,1),(113,1),(178,1),(179,1)}
       137:{1,3,4,6,7}:{(100,1),(101,1),(108,1),(114,1),(178,1),(180,1),(184,1)}
       138:{2,4,6}:{(101,1),(102,1),(109,1),(179,1),(181,1)}
       139:{1,4,5,7}:{(102,1),(110,1),(181,1),(186,1),(277,1),(285,1)}
       140:{1,3,4,6}:{(103,1),(105,1),(184,1),(185,1),(309,1),(396,1)}
       141:{2,4,5}:{(103,1),(106,1),(185,1),(186,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(108,1),(184,1),(187,1),(395,1),(475,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(109,1),(179,1),(185,1),(187,1),(188,1),(376,1),(386,1)}
       144:{1,3,5}:{(106,1),(107,1),(186,1),(189,1)}
       145:{1,2,4,6}:{(107,1),(111,1),(189,1),(190,1),(192,1),(290,1)}
       146:{2,3,6,7}:{(108,1),(109,1),(180,1),(187,1),(191,1),(462,1)}
       147:{1,3,6}:{(109,1),(110,1),(181,1),(192,1)}
       148:{1,2,5,7}:{(110,1),(111,1),(189,1),(192,1)}
       149:{1,2,3,7}:{(111,1),(190,1),(388,1)}
       150:{2,4,5,6,7}:{(112,1),(117,1),(176,1),(194,1),(203,1),(273,1),(293,1),(393,1),(482,1)}
       151:{3,4,5,6}:{(113,1),(195,1),(196,1),(396,1),(535,1)}
       152:{3,5,7}:{(112,1),(113,1),(114,1)}
       153:{2,3,5,6}:{(113,1),(115,1),(120,1),(179,1),(196,1),(197,1),(198,1),(535,1),(537,1),(549,1)}
       154:{2,3,4,6,7}:{(114,1),(115,1),(121,1),(180,1),(197,1),(199,1),(212,1),(282,1),(293,1),(299,1),(301,1),(372,1),(397,1),(481,1),(486,1),(524,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(122,1),(181,1),(198,1),(200,1),(210,1),(280,1),(309,1),(380,1),(396,1),(538,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(214,1),(284,1),(297,1),(314,1),(385,1),(397,1),(398,1)}
       157:{1,3,5,6,7}:{(117,1),(119,1),(194,1),(202,1),(203,1),(487,1)}
       158:{1,3,4,5,7}:{(118,1),(119,1),(125,1),(195,1),(202,1),(205,1),(295,1),(304,1),(395,1),(407,1),(487,1)}
       159:{2,4,5,6}:{(118,1),(120,1),(126,1),(204,1),(205,1),(206,1),(305,1),(406,1),(537,1)}
       160:{2,5,7}:{(119,1),(120,1),(121,1),(207,1)}
       161:{1,5,6}:{(120,1),(122,1),(207,1)}
       162:{1,4,6,7}:{(121,1),(122,1),(132,1),(207,1),(215,1)}
       163:{1,2,4,6}:{(122,1),(123,1),(133,1),(200,1),(208,1),(210,1),(309,1),(550,1),(551,1)}
       164:{1,3,5,7}:{(123,1),(201,1),(210,1),(211,1),(217,1),(311,1),(317,1),(384,1),(475,1)}
       165:{2,3,4,6}:{(124,1),(126,1),(204,1),(212,1),(213,1),(315,1),(396,1),(406,1)}
       166:{1,3,4,5}:{(124,1),(127,1),(213,1),(214,1),(217,1),(313,1),(490,1)}
       167:{2,4,7}:{(125,1),(126,1),(128,1),(215,1)}
       168:{1,4,6}:{(126,1),(127,1),(129,1),(215,1)}
       169:{1,2,4,5}:{(127,1),(130,1),(214,1),(216,1),(217,1),(220,1)}
       170:{1,3,5,7}:{(128,1),(129,1),(132,1),(207,1),(215,1),(218,1),(317,1)}
       171:{1,2,5,6}:{(129,1),(130,1),(133,1),(216,1),(218,1),(305,1)}
       172:{1,2,3,5}:{(130,1),(131,1),(217,1),(220,1)}
       173:{1,2,6,7}:{(132,1),(133,1),(218,1),(400,1)}
       174:{1,2,3,6}:{(133,1),(134,1),(210,1),(222,1),(551,1)}
       175:{1,2,4,7}:{(134,1),(211,1),(220,1),(222,1),(474,1)}
       176:{1,4,5,6,7}:{(135,1),(150,1),(223,1),(252,1),(343,1),(500,1)}
       177:{1,3,4,5,6}:{(136,1),(140,1),(151,1),(224,1),(225,1),(245,1),(325,1),(346,1),(426,1),(542,1)}
       178:{1,3,5,7}:{(135,1),(136,1),(137,1),(152,1),(226,1)}
       179:{2,5,6}:{(136,1),(138,1),(226,1),(227,1)}
       180:{2,4,6,7}:{(137,1),(138,1),(146,1),(226,1),(228,1),(233,1)}
       181:{1,4,6}:{(138,1),(139,1),(147,1),(227,1)}
       182:{1,2,4,5,7}:{(139,1),(148,1),(156,1),(229,1),(230,1),(235,1),(241,1),(261,1),(328,1),(336,1),(342,1),(363,1),(427,1),(428,1),(519,1),(521,1)}
       183:{2,3,4,5}:{(141,1),(231,1),(232,1),(335,1),(443,1),(504,1)}
       184:{1,3,4,7}:{(140,1),(142,1),(233,1),(359,1),(442,1)}
       185:{2,4,6}:{(140,1),(141,1),(143,1),(233,1),(234,1)}
       186:{1,4,5}:{(141,1),(144,1),(234,1)}
       187:{2,3,5,7}:{(142,1),(143,1),(146,1),(226,1),(233,1),(236,1),(423,1),(434,1)}
       188:{1,3,5,6}:{(143,1),(144,1),(147,1),(227,1),(234,1),(236,1),(237,1),(337,1)}
       189:{1,2,5}:{(144,1),(145,1)}
       190:{1,2,3,6}:{(145,1),(149,1),(238,1),(337,1)}
       191:{1,3,6,7}:{(146,1),(147,1),(228,1),(236,1),(239,1)}
       192:{1,2,6}:{(147,1),(148,1)}
       193:{1,2,3,5,7}:{(148,1),(149,1),(230,1),(238,1),(240,1),(241,1),(342,1),(362,1),(456,1),(521,1)}
       194:{3,5,6,7}:{(150,1),(152,1),(242,1),(440,1),(513,1)}
       195:{3,4,5,7}:{(151,1),(152,1),(242,1),(244,1),(442,1),(513,1)}
       196:{2,4,5,6}:{(151,1),(153,1),(244,1),(245,1),(348,1)}
       197:{2,3,5,7}:{(152,1),(153,1),(154,1),(160,1),(226,1),(244,1),(246,1),(513,1),(517,1),(541,1)}
       198:{1,3,5,6}:{(153,1),(155,1),(161,1),(227,1),(245,1),(246,1),(247,1),(346,1),(547,1),(552,1)}
       199:{1,3,4,6,7}:{(154,1),(155,1),(162,1),(228,1),(246,1),(248,1),(259,1),(262,1),(330,1),(333,1),(343,1),(351,1),(359,1),(419,1),(427,1),(440,1),(442,1),(516,1),(540,1)}
       200:{2,4,6}:{(155,1),(156,1),(247,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(164,1),(230,1),(249,1),(250,1),(264,1),(335,1),(350,1),(366,1),(434,1)}
       202:{1,3,4,6,7}:{(157,1),(158,1),(242,1),(251,1),(343,1),(351,1),(440,1)}
       203:{2,5,6,7}:{(157,1),(160,1),(251,1),(252,1),(517,1)}
       204:{2,3,5,6}:{(159,1),(165,1),(253,1),(254,1),(346,1)}
       205:{2,4,5,7}:{(158,1),(159,1),(160,1),(167,1),(251,1),(253,1),(255,1),(355,1),(452,1),(517,1)}
       206:{1,4,5,6}:{(159,1),(161,1),(168,1),(254,1),(255,1),(451,1),(547,1)}
       207:{1,5,7}:{(160,1),(161,1),(162,1)}
       208:{1,2,5,6}:{(161,1),(163,1),(247,1),(257,1),(258,1),(271,1),(552,1)}
       209:{1,2,4,6,7}:{(162,1),(163,1),(173,1),(248,1),(257,1),(259,1),(265,1),(359,1),(431,1),(497,1),(540,1)}
       210:{1,3,6}:{(163,1),(164,1),(249,1)}
       211:{1,3,4,7}:{(164,1),(175,1),(250,1),(260,1),(267,1),(359,1),(433,1)}
       212:{2,3,4,7}:{(165,1),(167,1),(253,1),(262,1),(366,1),(442,1),(452,1)}
       213:{1,3,4,6}:{(165,1),(166,1),(168,1),(254,1),(262,1),(263,1),(266,1),(364,1),(451,1)}
       214:{2,4,5}:{(166,1),(263,1),(264,1)}
       215:{1,4,7}:{(167,1),(168,1),(170,1)}
       216:{1,2,4,6}:{(168,1),(169,1),(171,1),(263,1),(265,1),(266,1)}
       217:{1,3,5}:{(169,1),(264,1),(266,1),(267,1)}
       218:{1,2,5,7}:{(170,1),(171,1),(173,1),(265,1),(355,1)}
       219:{1,2,3,5,6}:{(171,1),(172,1),(174,1),(258,1),(266,1),(268,1),(269,1),(271,1),(356,1),(369,1),(371,1),(461,1)}
       220:{1,2,4}:{(172,1),(267,1)}
       221:{1,2,3,6,7}:{(173,1),(174,1),(259,1),(268,1),(270,1),(447,1),(461,1),(507,1)}
       222:{1,2,4,6}:{(174,1),(175,1),(260,1),(271,1)}
       223:{1,3,5,6,7}:{(176,1),(178,1),(194,1),(272,1),(273,1),(525,1)}
       224:{1,3,4,5,7}:{(177,1),(178,1),(184,1),(195,1),(272,1),(275,1),(295,1),(375,1),(395,1),(469,1),(525,1)}
       225:{2,4,5,6}:{(177,1),(179,1),(185,1),(274,1),(275,1),(276,1),(376,1),(468,1),(549,1)}
       226:{2,5,7}:{(178,1),(179,1),(180,1),(277,1)}
       227:{1,5,6}:{(179,1),(181,1),(277,1)}
       228:{1,4,6,7}:{(180,1),(181,1),(191,1),(277,1),(285,1)}
       229:{1,2,4,6}:{(181,1),(182,1),(192,1),(200,1),(278,1),(280,1),(380,1),(538,1),(539,1)}
       230:{1,3,5,7}:{(182,1),(201,1),(280,1),(281,1),(287,1),(313,1),(382,1),(388,1),(413,1)}
       231:{2,3,4,6}:{(183,1),(185,1),(274,1),(282,1),(283,1),(386,1),(396,1),(468,1)}
       232:{1,3,4,5}:{(183,1),(186,1),(283,1),(284,1),(287,1),(384,1),(528,1)}
       233:{2,4,7}:{(184,1),(185,1),(187,1),(285,1)}
       234:{1,4,6}:{(185,1),(186,1),(188,1),(285,1)}
       235:{1,2,4,5}:{(186,1),(189,1),(284,1),(286,1),(287,1),(290,1)}
       236:{1,3,5,7}:{(187,1),(188,1),(191,1),(277,1),(285,1),(288,1),(388,1)}
       237:{1,2,5,6}:{(188,1),(189,1),(192,1),(286,1),(288,1),(376,1)}
       238:{1,2,3,5}:{(189,1),(190,1),(287,1),(290,1)}
       239:{1,2,6,7}:{(191,1),(192,1),(288,1),(462,1)}
       240:{1,2,3,6}:{(192,1),(193,1),(280,1),(292,1),(539,1)}
       241:{1,2,4,7}:{(193,1),(281,1),(290,1),(292,1),(412,1)}
       242:{3,4,6,7}:{(194,1),(195,1),(293,1)}
       243:{2,3,5,6,7}:{(194,1),(197,1),(203,1),(273,1),(293,1),(294,1),(301,1),(372,1)}
       244:{2,4,5,7}:{(195,1),(196,1),(197,1),(293,1),(295,1),(397,1)}
       245:{1,4,5,6}:{(196,1),(198,1),(295,1),(296,1),(309,1),(380,1)}
       246:{1,3,5,7}:{(197,1),(198,1),(199,1),(207,1),(277,1),(295,1),(297,1),(395,1),(536,1),(548,1)}
       247:{2,5,6}:{(198,1),(200,1),(297,1)}
       248:{2,4,6,7}:{(199,1),(200,1),(297,1),(299,1),(314,1),(385,1),(397,1),(400,1),(462,1)}
       249:{2,3,6}:{(200,1),(201,1),(210,1),(280,1)}
       250:{2,3,4,7}:{(201,1),(211,1),(281,1),(300,1),(316,1),(387,1),(397,1)}
       251:{2,4,6,7}:{(202,1),(203,1),(205,1),(301,1),(302,1),(400,1)}
       252:{1,5,6,7}:{(203,1),(207,1),(302,1),(536,1)}
       253:{2,3,5,7}:{(204,1),(205,1),(212,1),(301,1),(304,1),(395,1)}
       254:{1,3,5,6}:{(204,1),(206,1),(213,1),(304,1),(305,1)}
       255:{1,4,5,7}:{(205,1),(206,1),(207,1),(215,1),(302,1),(304,1),(489,1),(536,1)}
       256:{1,2,4,5,6}:{(206,1),(208,1),(216,1),(296,1),(305,1),(306,1),(307,1),(309,1),(320,1),(406,1),(418,1),(488,1),(537,1)}
       257:{1,2,5,7}:{(207,1),(208,1),(209,1),(297,1),(308,1),(548,1)}
       258:{1,3,5,6}:{(208,1),(210,1),(298,1),(308,1),(309,1),(311,1)}
       259:{1,3,6,7}:{(209,1),(210,1),(299,1),(308,1),(317,1),(475,1)}
       260:{1,3,4,6}:{(210,1),(211,1),(222,1),(300,1),(309,1),(311,1)}
       261:{1,2,4,5}:{(214,1),(312,1),(313,1),(412,1),(490,1),(494,1)}
       262:{1,3,4,7}:{(212,1),(213,1),(215,1),(304,1),(314,1),(317,1),(413,1),(489,1)}
       263:{2,4,6}:{(213,1),(214,1),(305,1),(314,1),(315,1)}
       264:{2,3,5}:{(214,1),(217,1),(313,1),(315,1),(316,1)}
       265:{1,2,4,7}:{(215,1),(216,1),(218,1),(314,1),(317,1)}
       266:{1,3,6}:{(216,1),(217,1),(315,1),(317,1)}
       267:{1,3,4}:{(217,1),(220,1),(316,1)}
       268:{1,2,3,5,7}:{(218,1),(219,1),(221,1),(308,1),(317,1),(319,1),(321,1),(405,1),(417,1)}
       269:{1,2,4,6}:{(219,1),(220,1),(309,1),(318,1),(319,1),(320,1),(406,1)}
       270:{1,2,4,6,7}:{(221,1),(222,1),(310,1),(319,1),(321,1),(418,1),(486,1),(531,1),(551,1)}
       271:{1,2,5}:{(222,1),(311,1)}
       272:{1,3,4,6,7}:{(223,1),(224,1),(242,1),(322,1),(343,1),(419,1),(440,1)}
       273:{2,5,6,7}:{(223,1),(226,1),(322,1),(323,1),(541,1)}
       274:{2,3,5,6}:{(225,1),(231,1),(324,1),(325,1),(346,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(226,1),(233,1),(322,1),(324,1),(326,1),(423,1),(503,1),(541,1)}
       276:{1,4,5,6}:{(225,1),(227,1),(234,1),(325,1),(326,1),(502,1),(552,1)}
       277:{1,5,7}:{(226,1),(227,1),(228,1)}
       278:{1,2,5,6}:{(227,1),(229,1),(247,1),(328,1),(329,1),(342,1),(547,1)}
       279:{1,2,4,6,7}:{(228,1),(229,1),(239,1),(248,1),(328,1),(330,1),(336,1),(363,1),(427,1),(446,1),(516,1)}
       280:{1,3,6}:{(229,1),(230,1),(249,1)}
       281:{1,3,4,7}:{(230,1),(241,1),(250,1),(331,1),(338,1),(365,1),(427,1)}
       282:{2,3,4,7}:{(231,1),(233,1),(324,1),(333,1),(434,1),(442,1),(503,1)}
       283:{1,3,4,6}:{(231,1),(232,1),(234,1),(325,1),(333,1),(334,1),(337,1),(432,1),(502,1)}
       284:{2,4,5}:{(232,1),(334,1),(335,1)}
       285:{1,4,7}:{(233,1),(234,1),(236,1)}
       286:{1,2,4,6}:{(234,1),(235,1),(237,1),(334,1),(336,1),(337,1)}
       287:{1,3,5}:{(235,1),(335,1),(337,1),(338,1)}
       288:{1,2,5,7}:{(236,1),(237,1),(239,1),(336,1),(423,1)}
       289:{1,2,3,5,6}:{(237,1),(238,1),(240,1),(329,1),(337,1),(339,1),(340,1),(342,1),(424,1),(437,1),(439,1),(512,1)}
       290:{1,2,4}:{(238,1),(338,1)}
       291:{1,2,3,6,7}:{(239,1),(240,1),(330,1),(339,1),(341,1),(456,1),(498,1),(512,1)}
       292:{1,2,4,6}:{(240,1),(241,1),(331,1),(342,1)}
       293:{2,4,6,7}:{(242,1),(243,1),(244,1),(343,1)}
       294:{1,3,5,6,7}:{(243,1),(246,1),(252,1),(323,1),(343,1),(344,1),(351,1),(419,1),(440,1)}
       295:{1,4,5,7}:{(244,1),(245,1),(246,1),(343,1),(345,1),(359,1),(427,1)}
       296:{2,4,5,6}:{(245,1),(247,1),(345,1),(346,1),(348,1)}
       297:{2,5,7}:{(246,1),(247,1),(248,1)}
       298:{2,3,5,6}:{(247,1),(249,1),(258,1),(329,1),(346,1),(347,1),(348,1),(350,1)}
       299:{2,3,6,7}:{(248,1),(249,1),(259,1),(330,1),(347,1),(366,1),(434,1),(440,1)}
       300:{2,3,4,6}:{(249,1),(250,1),(260,1),(331,1),(348,1),(350,1)}
       301:{2,3,6,7}:{(251,1),(253,1),(351,1),(440,1)}
       302:{1,4,6,7}:{(251,1),(252,1),(255,1),(351,1)}
       303:{1,2,5,6,7}:{(252,1),(257,1),(344,1),(352,1),(353,1),(371,1),(497,1),(517,1)}
       304:{1,3,5,7}:{(253,1),(254,1),(255,1),(262,1),(351,1),(355,1)}
       305:{2,5,6}:{(254,1),(263,1),(355,1)}
       306:{1,2,4,5,7}:{(255,1),(256,1),(257,1),(265,1),(345,1),(352,1),(355,1),(357,1),(359,1),(449,1),(452,1),(517,1)}
       307:{1,3,5,6}:{(256,1),(266,1),(346,1),(356,1),(357,1),(358,1),(369,1),(461,1)}
       308:{1,3,5,7}:{(257,1),(258,1),(259,1),(347,1),(359,1)}
       309:{1,4,6}:{(258,1),(348,1),(359,1),(360,1)}
       310:{1,3,4,6,7}:{(259,1),(260,1),(270,1),(349,1),(359,1),(361,1),(368,1),(455,1),(461,1),(509,1),(540,1),(546,1)}
       311:{1,3,5}:{(260,1),(271,1),(350,1),(360,1)}
       312:{1,2,4,6}:{(261,1),(263,1),(354,1),(363,1),(364,1),(451,1)}
       313:{1,3,5}:{(261,1),(264,1),(364,1),(365,1)}
       314:{2,4,7}:{(262,1),(263,1),(355,1),(366,1)}
       315:{2,3,6}:{(263,1),(264,1),(266,1),(364,1),(366,1)}
       316:{2,3,4}:{(264,1),(267,1),(365,1)}
       317:{1,3,7}:{(265,1),(266,1),(366,1)}
       318:{1,3,4,6}:{(266,1),(267,1),(269,1),(367,1),(368,1),(369,1),(461,1)}
       319:{1,2,4,7}:{(268,1),(269,1),(359,1),(368,1),(452,1)}
       320:{1,2,4,5}:{(269,1),(271,1),(360,1),(369,1),(453,1)}
       321:{1,2,5,7}:{(270,1),(271,1),(361,1),(371,1),(517,1)}
       322:{2,4,6,7}:{(272,1),(273,1),(275,1),(372,1),(373,1),(462,1)}
       323:{1,5,6,7}:{(273,1),(277,1),(373,1),(548,1)}
       324:{2,3,5,7}:{(274,1),(275,1),(282,1),(372,1),(375,1),(395,1)}
       325:{1,3,5,6}:{(274,1),(276,1),(283,1),(375,1),(376,1)}
       326:{1,4,5,7}:{(275,1),(276,1),(277,1),(285,1),(373,1),(375,1),(527,1),(548,1)}
       327:{1,2,4,5,6}:{(276,1),(278,1),(286,1),(296,1),(376,1),(377,1),(378,1),(380,1),(391,1),(468,1),(480,1),(526,1),(549,1)}
       328:{1,2,5,7}:{(277,1),(278,1),(279,1),(297,1),(379,1),(536,1)}
       329:{1,3,5,6}:{(278,1),(280,1),(298,1),(379,1),(380,1),(382,1)}
       330:{1,3,6,7}:{(279,1),(280,1),(299,1),(379,1),(388,1),(413,1)}
       331:{1,3,4,6}:{(280,1),(281,1),(292,1),(300,1),(380,1),(382,1)}
       332:{1,2,4,5}:{(284,1),(383,1),(384,1),(474,1),(528,1),(532,1)}
       333:{1,3,4,7}:{(282,1),(283,1),(285,1),(375,1),(385,1),(388,1),(475,1),(527,1)}
       334:{2,4,6}:{(283,1),(284,1),(376,1),(385,1),(386,1)}
       335:{2,3,5}:{(284,1),(287,1),(384,1),(386,1),(387,1)}
       336:{1,2,4,7}:{(285,1),(286,1),(288,1),(385,1),(388,1)}
       337:{1,3,6}:{(286,1),(287,1),(386,1),(388,1)}
       338:{1,3,4}:{(287,1),(290,1),(387,1)}
       339:{1,2,3,5,7}:{(288,1),(289,1),(291,1),(379,1),(388,1),(390,1),(392,1),(467,1),(479,1)}
       340:{1,2,4,6}:{(289,1),(290,1),(380,1),(389,1),(390,1),(391,1),(468,1)}
       341:{1,2,4,6,7}:{(291,1),(292,1),(381,1),(390,1),(392,1),(480,1),(493,1),(524,1),(539,1)}
       342:{1,2,5}:{(292,1),(382,1)}
       343:{1,4,6,7}:{(293,1),(294,1),(295,1),(393,1)}
       344:{2,5,6,7}:{(294,1),(297,1),(393,1),(400,1),(462,1)}
       345:{2,4,5,7}:{(295,1),(296,1),(297,1),(393,1),(395,1),(397,1)}
       346:{3,5,6}:{(296,1),(395,1),(396,1)}
       347:{2,3,5,7}:{(297,1),(298,1),(299,1),(308,1),(379,1),(395,1),(397,1)}
       348:{2,4,6}:{(298,1),(309,1),(380,1),(396,1),(397,1),(398,1)}
       349:{2,3,4,6,7}:{(299,1),(300,1),(310,1),(381,1),(397,1),(399,1),(415,1),(477,1),(481,1),(484,1),(486,1),(496,1),(524,1),(534,1)}
       350:{2,3,5}:{(300,1),(311,1),(382,1),(398,1)}
       351:{1,3,6,7}:{(301,1),(302,1),(304,1),(400,1)}
       352:{1,2,4,6,7}:{(302,1),(303,1),(306,1),(393,1),(400,1),(401,1),(402,1),(418,1),(486,1)}
       353:{1,3,5,6,7}:{(303,1),(308,1),(394,1),(401,1),(402,1),(410,1),(487,1),(523,1),(548,1)}
       354:{1,2,5,6}:{(305,1),(312,1),(403,1),(404,1),(494,1),(539,1)}
       355:{2,5,7}:{(304,1),(305,1),(314,1),(400,1)}
       356:{2,3,5,6}:{(305,1),(307,1),(315,1),(404,1),(405,1),(406,1),(416,1),(496,1),(537,1)}
       357:{1,3,5,7}:{(306,1),(307,1),(317,1),(395,1),(401,1),(405,1),(407,1)}
       358:{1,3,4,6}:{(307,1),(309,1),(396,1),(406,1),(407,1),(408,1)}
       359:{1,4,7}:{(308,1),(309,1),(397,1)}
       360:{1,4,5}:{(309,1),(311,1),(398,1)}
       361:{1,3,5,7}:{(310,1),(311,1),(321,1),(399,1),(409,1),(410,1),(548,1)}
       362:{1,2,3,5}:{(313,1),(411,1),(412,1),(494,1)}
       363:{1,2,4,7}:{(312,1),(314,1),(403,1),(413,1),(489,1)}
       364:{1,3,6}:{(312,1),(313,1),(315,1),(413,1)}
       365:{1,3,4}:{(313,1),(316,1),(412,1)}
       366:{2,3,7}:{(314,1),(315,1),(317,1),(413,1)}
       367:{2,3,4,6}:{(315,1),(316,1),(318,1),(406,1),(414,1),(415,1),(416,1),(496,1)}
       368:{1,3,4,7}:{(317,1),(318,1),(319,1),(415,1),(417,1)}
       369:{1,3,5}:{(318,1),(320,1),(416,1)}
       370:{1,2,4,5,7}:{(319,1),(320,1),(321,1),(409,1),(417,1),(418,1),(491,1)}
       371:{1,2,5,6}:{(321,1),(410,1),(418,1),(537,1),(551,1)}
       372:{2,3,6,7}:{(322,1),(324,1),(419,1),(440,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(326,1),(419,1)}
       374:{1,2,5,6,7}:{(323,1),(328,1),(344,1),(420,1),(421,1),(439,1),(446,1),(541,1)}
       375:{1,3,5,7}:{(324,1),(325,1),(326,1),(333,1),(419,1),(423,1)}
       376:{2,5,6}:{(325,1),(334,1),(423,1)}
       377:{1,2,4,5,7}:{(326,1),(327,1),(328,1),(336,1),(345,1),(420,1),(423,1),(425,1),(427,1),(500,1),(503,1),(541,1)}
       378:{1,3,5,6}:{(327,1),(337,1),(346,1),(424,1),(425,1),(426,1),(437,1),(512,1)}
       379:{1,3,5,7}:{(328,1),(329,1),(330,1),(347,1),(427,1)}
       380:{1,4,6}:{(329,1),(348,1),(427,1),(428,1)}
       381:{1,3,4,6,7}:{(330,1),(331,1),(341,1),(349,1),(427,1),(429,1),(436,1),(458,1),(506,1),(512,1),(516,1),(522,1)}
       382:{1,3,5}:{(331,1),(342,1),(350,1),(428,1)}
       383:{1,2,4,6}:{(332,1),(334,1),(422,1),(431,1),(432,1),(502,1)}
       384:{1,3,5}:{(332,1),(335,1),(432,1),(433,1)}
       385:{2,4,7}:{(333,1),(334,1),(423,1),(434,1)}
       386:{2,3,6}:{(334,1),(335,1),(337,1),(432,1),(434,1)}
       387:{2,3,4}:{(335,1),(338,1),(433,1)}
       388:{1,3,7}:{(336,1),(337,1),(434,1)}
       389:{1,3,4,6}:{(337,1),(338,1),(340,1),(435,1),(436,1),(437,1),(512,1)}
       390:{1,2,4,7}:{(339,1),(340,1),(427,1),(436,1),(503,1)}
       391:{1,2,4,5}:{(340,1),(342,1),(428,1),(437,1),(504,1)}
       392:{1,2,5,7}:{(341,1),(342,1),(429,1),(439,1),(541,1)}
       393:{2,4,6,7}:{(343,1),(344,1),(345,1),(440,1)}
       394:{2,3,5,6,7}:{(344,1),(347,1),(353,1),(421,1),(440,1),(441,1),(445,1),(447,1),(498,1),(513,1),(517,1),(541,1)}
       395:{3,5,7}:{(345,1),(346,1),(440,1),(442,1)}
       396:{3,4,6}:{(346,1),(348,1),(442,1),(443,1)}
       397:{2,4,7}:{(347,1),(348,1),(359,1),(427,1),(442,1)}
       398:{2,4,5}:{(348,1),(350,1),(360,1),(428,1),(443,1)}
       399:{2,3,5,7}:{(349,1),(350,1),(361,1),(429,1),(444,1),(445,1),(513,1),(517,1),(541,1)}
       400:{2,6,7}:{(351,1),(355,1)}
       401:{1,3,6,7}:{(352,1),(357,1),(440,1),(447,1),(461,1)}
       402:{1,4,6,7}:{(353,1),(359,1),(441,1),(449,1),(455,1)}
       403:{1,2,5,7}:{(354,1),(355,1),(363,1),(446,1),(450,1)}
       404:{1,3,5,6}:{(354,1),(356,1),(364,1),(450,1),(451,1),(459,1),(522,1),(547,1)}
       405:{2,3,5,7}:{(355,1),(356,1),(357,1),(366,1),(447,1),(450,1),(452,1),(517,1)}
       406:{2,4,6}:{(356,1),(358,1),(451,1),(452,1),(453,1)}
       407:{1,3,4,7}:{(357,1),(358,1),(359,1),(442,1),(452,1)}
       408:{1,3,4,5}:{(358,1),(360,1),(369,1),(443,1),(453,1)}
       409:{1,4,5,7}:{(359,1),(360,1),(361,1),(444,1),(455,1)}
       410:{1,3,5,6}:{(361,1),(371,1),(445,1),(455,1),(461,1),(546,1),(552,1)}
       411:{1,2,3,6}:{(362,1),(364,1),(456,1),(457,1)}
       412:{1,2,4}:{(362,1),(365,1)}
       413:{1,3,7}:{(363,1),(364,1),(366,1)}
       414:{1,3,4,6}:{(364,1),(365,1),(367,1),(451,1),(457,1),(458,1),(459,1),(522,1)}
       415:{2,3,4,7}:{(366,1),(367,1),(368,1),(452,1),(458,1),(460,1)}
       416:{2,3,5}:{(367,1),(369,1),(453,1),(459,1)}
       417:{1,3,5,7}:{(368,1),(369,1),(370,1),(460,1),(461,1)}
       418:{1,2,4,6}:{(370,1),(371,1),(455,1),(461,1),(520,1)}
       419:{1,3,6,7}:{(372,1),(373,1),(375,1),(462,1)}
       420:{1,2,4,6,7}:{(373,1),(374,1),(377,1),(393,1),(462,1),(463,1),(464,1),(480,1),(524,1)}
       421:{1,3,5,6,7}:{(374,1),(379,1),(394,1),(463,1),(464,1),(472,1),(485,1),(525,1),(536,1)}
       422:{1,2,5,6}:{(376,1),(383,1),(465,1),(466,1),(532,1),(551,1)}
       423:{2,5,7}:{(375,1),(376,1),(385,1),(462,1)}
       424:{2,3,5,6}:{(376,1),(378,1),(386,1),(466,1),(467,1),(468,1),(478,1),(534,1),(549,1)}
       425:{1,3,5,7}:{(377,1),(378,1),(388,1),(395,1),(463,1),(467,1),(469,1)}
       426:{1,3,4,6}:{(378,1),(380,1),(396,1),(468,1),(469,1),(470,1)}
       427:{1,4,7}:{(379,1),(380,1),(397,1)}
       428:{1,4,5}:{(380,1),(382,1),(398,1)}
       429:{1,3,5,7}:{(381,1),(382,1),(392,1),(399,1),(471,1),(472,1),(536,1)}
       430:{1,2,3,5}:{(384,1),(473,1),(474,1),(532,1)}
       431:{1,2,4,7}:{(383,1),(385,1),(465,1),(475,1),(527,1)}
       432:{1,3,6}:{(383,1),(384,1),(386,1),(475,1)}
       433:{1,3,4}:{(384,1),(387,1),(474,1)}
       434:{2,3,7}:{(385,1),(386,1),(388,1),(475,1)}
       435:{2,3,4,6}:{(386,1),(387,1),(389,1),(468,1),(476,1),(477,1),(478,1),(534,1)}
       436:{1,3,4,7}:{(388,1),(389,1),(390,1),(477,1),(479,1)}
       437:{1,3,5}:{(389,1),(391,1),(478,1)}
       438:{1,2,4,5,7}:{(390,1),(391,1),(392,1),(471,1),(479,1),(480,1),(529,1)}
       439:{1,2,5,6}:{(392,1),(472,1),(480,1),(539,1),(549,1)}
       440:{3,6,7}:{(393,1),(395,1)}
       441:{2,4,6,7}:{(394,1),(397,1),(402,1),(464,1),(481,1),(482,1),(484,1)}
       442:{3,4,7}:{(395,1),(396,1),(397,1)}
       443:{3,4,5}:{(396,1),(398,1)}
       444:{2,4,5,7}:{(397,1),(398,1),(399,1),(409,1),(471,1),(483,1),(484,1)}
       445:{2,3,5,6}:{(399,1),(410,1),(472,1),(484,1),(496,1),(534,1),(535,1),(537,1),(549,1)}
       446:{1,2,6,7}:{(400,1),(403,1),(485,1),(539,1)}
       447:{2,3,6,7}:{(400,1),(401,1),(405,1),(485,1),(486,1),(496,1)}
       448:{1,3,4,6,7}:{(401,1),(402,1),(407,1),(481,1),(486,1),(487,1),(492,1)}
       449:{1,4,5,7}:{(402,1),(482,1),(487,1),(488,1),(548,1)}
       450:{1,3,5,7}:{(403,1),(404,1),(405,1),(413,1),(485,1),(489,1),(536,1)}
       451:{1,4,6}:{(404,1),(406,1),(489,1),(490,1)}
       452:{2,4,7}:{(405,1),(406,1),(407,1),(489,1)}
       453:{2,4,5}:{(406,1),(408,1),(416,1),(490,1)}
       454:{1,3,4,5,7}:{(407,1),(408,1),(409,1),(417,1),(483,1),(487,1),(491,1),(492,1)}
       455:{1,4,6}:{(409,1),(410,1),(484,1)}
       456:{1,2,3,7}:{(411,1),(413,1),(493,1)}
       457:{1,2,4,6}:{(411,1),(412,1),(414,1),(493,1),(494,1),(539,1)}
       458:{1,3,4,7}:{(413,1),(414,1),(415,1),(489,1),(493,1),(495,1)}
       459:{1,3,5}:{(414,1),(416,1),(490,1),(494,1)}
       460:{2,3,5,7}:{(415,1),(416,1),(417,1),(491,1),(495,1),(496,1)}
       461:{1,3,6}:{(417,1),(418,1),(496,1)}
       462:{2,6,7}:{(419,1),(423,1)}
       463:{1,3,6,7}:{(420,1),(425,1),(440,1),(498,1),(512,1)}
       464:{1,4,6,7}:{(421,1),(427,1),(441,1),(500,1),(506,1)}
       465:{1,2,5,7}:{(422,1),(423,1),(431,1),(497,1),(501,1)}
       466:{1,3,5,6}:{(422,1),(424,1),(432,1),(501,1),(502,1),(510,1),(546,1),(552,1)}
       467:{2,3,5,7}:{(423,1),(424,1),(425,1),(434,1),(498,1),(501,1),(503,1),(541,1)}
       468:{2,4,6}:{(424,1),(426,1),(502,1),(503,1),(504,1)}
       469:{1,3,4,7}:{(425,1),(426,1),(427,1),(442,1),(503,1)}
       470:{1,3,4,5}:{(426,1),(428,1),(437,1),(443,1),(504,1)}
       471:{1,4,5,7}:{(427,1),(428,1),(429,1),(444,1),(506,1)}
       472:{1,3,5,6}:{(429,1),(439,1),(445,1),(506,1),(512,1),(522,1),(547,1)}
       473:{1,2,3,6}:{(430,1),(432,1),(507,1),(508,1)}
       474:{1,2,4}:{(430,1),(433,1)}
       475:{1,3,7}:{(431,1),(432,1),(434,1)}
       476:{1,3,4,6}:{(432,1),(433,1),(435,1),(502,1),(508,1),(509,1),(510,1),(546,1)}
       477:{2,3,4,7}:{(434,1),(435,1),(436,1),(503,1),(509,1),(511,1)}
       478:{2,3,5}:{(435,1),(437,1),(504,1),(510,1)}
       479:{1,3,5,7}:{(436,1),(437,1),(438,1),(511,1),(512,1)}
       480:{1,2,4,6}:{(438,1),(439,1),(506,1),(512,1),(544,1)}
       481:{3,4,6,7}:{(440,1),(441,1),(442,1),(513,1),(515,1)}
       482:{2,4,5,7}:{(441,1),(449,1),(500,1),(513,1),(514,1),(517,1),(541,1)}
       483:{3,4,5,7}:{(442,1),(443,1),(444,1),(513,1),(515,1)}
       484:{2,4,6}:{(444,1),(445,1),(455,1),(506,1),(515,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(450,1),(516,1),(522,1)}
       486:{2,4,6,7}:{(447,1),(448,1),(452,1),(516,1),(517,1),(520,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(513,1),(517,1),(518,1)}
       488:{1,4,5,6}:{(449,1),(455,1),(514,1),(518,1),(552,1)}
       489:{1,4,7}:{(450,1),(451,1),(452,1)}
       490:{1,4,5}:{(451,1),(453,1),(459,1)}
       491:{2,4,5,7}:{(452,1),(453,1),(454,1),(460,1),(517,1),(519,1),(520,1)}
       492:{1,3,4,6}:{(454,1),(455,1),(461,1),(515,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(456,1),(457,1),(458,1),(521,1)}
       494:{1,2,5}:{(457,1),(459,1)}
       495:{1,3,5,7}:{(458,1),(459,1),(460,1),(519,1),(521,1),(522,1)}
       496:{2,3,6}:{(460,1),(461,1),(520,1),(522,1)}
       497:{1,2,6,7}:{(462,1),(465,1),(523,1),(551,1)}
       498:{2,3,6,7}:{(462,1),(463,1),(467,1),(523,1),(524,1),(534,1)}
       499:{1,3,4,6,7}:{(463,1),(464,1),(469,1),(481,1),(524,1),(525,1),(530,1)}
       500:{1,4,5,7}:{(464,1),(482,1),(525,1),(526,1),(536,1)}
       501:{1,3,5,7}:{(465,1),(466,1),(467,1),(475,1),(523,1),(527,1),(548,1)}
       502:{1,4,6}:{(466,1),(468,1),(527,1),(528,1)}
       503:{2,4,7}:{(467,1),(468,1),(469,1),(527,1)}
       504:{2,4,5}:{(468,1),(470,1),(478,1),(528,1)}
       505:{1,3,4,5,7}:{(469,1),(470,1),(471,1),(479,1),(483,1),(525,1),(529,1),(530,1)}
       506:{1,4,6}:{(471,1),(472,1),(484,1)}
       507:{1,2,3,7}:{(473,1),(475,1),(531,1)}
       508:{1,2,4,6}:{(473,1),(474,1),(476,1),(531,1),(532,1),(551,1)}
       509:{1,3,4,7}:{(475,1),(476,1),(477,1),(527,1),(531,1),(533,1)}
       510:{1,3,5}:{(476,1),(478,1),(528,1),(532,1)}
       511:{2,3,5,7}:{(477,1),(478,1),(479,1),(529,1),(533,1),(534,1)}
       512:{1,3,6}:{(479,1),(480,1),(534,1)}
       513:{3,5,7}:{(481,1),(482,1),(535,1)}
       514:{2,4,5,6}:{(482,1),(484,1),(488,1),(526,1),(535,1),(537,1),(549,1)}
       515:{3,4,6}:{(483,1),(484,1),(535,1)}
       516:{1,4,6,7}:{(485,1),(486,1),(489,1),(536,1),(538,1)}
       517:{2,5,7}:{(486,1),(487,1),(536,1),(537,1)}
       518:{1,3,5,6}:{(487,1),(488,1),(492,1),(535,1),(537,1)}
       519:{1,4,5,7}:{(489,1),(490,1),(491,1),(495,1),(536,1),(538,1)}
       520:{2,4,6}:{(491,1),(492,1),(496,1),(537,1),(538,1)}
       521:{1,2,5,7}:{(493,1),(494,1),(495,1),(539,1)}
       522:{1,3,6}:{(495,1),(496,1),(538,1),(539,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(501,1),(540,1),(546,1)}
       524:{2,4,6,7}:{(498,1),(499,1),(503,1),(540,1),(541,1),(544,1)}
       525:{1,3,5,7}:{(499,1),(500,1),(513,1),(541,1),(542,1)}
       526:{1,4,5,6}:{(500,1),(506,1),(514,1),(542,1),(547,1)}
       527:{1,4,7}:{(501,1),(502,1),(503,1)}
       528:{1,4,5}:{(502,1),(504,1),(510,1)}
       529:{2,4,5,7}:{(503,1),(504,1),(505,1),(511,1),(541,1),(543,1),(544,1)}
       530:{1,3,4,6}:{(505,1),(506,1),(512,1),(515,1),(542,1),(544,1)}
       531:{1,2,4,7}:{(507,1),(508,1),(509,1),(545,1)}
       532:{1,2,5}:{(508,1),(510,1)}
       533:{1,3,5,7}:{(509,1),(510,1),(511,1),(543,1),(545,1),(546,1)}
       534:{2,3,6}:{(511,1),(512,1),(544,1),(546,1)}
       535:{3,5,6}:{(513,1),(514,1),(515,1)}
       536:{1,5,7}:{(516,1),(517,1),(547,1)}
       537:{2,5,6}:{(517,1),(518,1),(520,1),(547,1)}
       538:{1,4,6}:{(519,1),(520,1),(522,1),(547,1)}
       539:{1,2,6}:{(521,1),(522,1)}
       540:{1,4,6,7}:{(523,1),(524,1),(527,1),(548,1),(550,1)}
       541:{2,5,7}:{(524,1),(525,1),(548,1),(549,1)}
       542:{1,3,5,6}:{(525,1),(526,1),(530,1),(535,1),(549,1)}
       543:{1,4,5,7}:{(527,1),(528,1),(529,1),(533,1),(548,1),(550,1)}
       544:{2,4,6}:{(529,1),(530,1),(534,1),(549,1),(550,1)}
       545:{1,2,5,7}:{(531,1),(532,1),(533,1),(551,1)}
       546:{1,3,6}:{(533,1),(534,1),(550,1),(551,1)}
       547:{1,5,6}:{(536,1),(537,1),(538,1)}
       548:{1,5,7}:{(540,1),(541,1),(552,1)}
       549:{2,5,6}:{(541,1),(542,1),(544,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{1,2,6}:{(545,1),(546,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1515 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1516 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1517 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1518 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1519 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1520 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(115,1),(198,1),(199,1),(207,1),(309,1),(314,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(156,1),(361,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(249,1),(251,1),(358,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(314,1),(407,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(199,1),(201,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(405,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(207,1),(303,1),(306,1),(440,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(88,1),(98,1),(99,1),(152,1),(158,1),(255,1),(274,1),(361,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(161,1),(165,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(251,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(259,1),(397,1),(398,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(407,1),(425,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(199,1),(329,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(126,1),(132,1),(133,1),(200,1),(209,1),(307,1),(325,1),(405,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(129,1),(134,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(213,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(306,1),(308,1),(346,1),(349,1),(350,1),(405,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(132,1),(314,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(361,1),(379,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(158,1),(161,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(251,1),(376,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(172,1),(263,1),(371,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(397,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(176,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(190,1),(268,1),(272,1),(294,1),(297,1),(299,1),(375,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(360,1),(390,1)}
        37:{2,3,4,5}:{(24,1),(57,1),(58,1),(121,1),(316,1),(425,1)}
        38:{1,3,4,5,6}:{(23,1),(60,1),(61,1),(68,1),(116,1),(220,1),(221,1),(222,1),(329,1),(428,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(405,1),(422,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(132,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(148,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(129,1),(137,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(132,1),(209,1),(213,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(418,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(132,1),(225,1),(307,1),(319,1),(437,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(343,1),(349,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(129,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(131,1),(147,1),(229,1),(233,1),(243,1),(245,1),(337,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(132,1),(232,1),(327,1),(339,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(405,1),(407,1)}
        57:{2,3,4,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(161,1),(261,1),(379,1)}
        58:{1,3,4,5}:{(37,1),(41,1),(83,1),(85,1),(95,1),(153,1),(352,1)}
        59:{2,3,4,5,7}:{(37,1),(42,1),(84,1),(86,1),(87,1),(113,1),(164,1),(166,1),(197,1),(368,1),(375,1),(378,1),(463,1),(464,1),(466,1),(509,1)}
        60:{2,4,5,6}:{(38,1),(39,1),(82,1),(88,1),(89,1),(98,1),(158,1),(261,1),(457,1)}
        61:{1,3,4,5,7}:{(38,1),(40,1),(89,1),(90,1),(94,1),(159,1),(270,1),(271,1),(277,1),(376,1),(383,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(190,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(85,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(178,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(184,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(158,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(176,1),(178,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(263,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(358,1),(390,1),(394,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(184,1),(290,1),(297,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(176,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(191,1),(193,1),(195,1),(294,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(178,1),(287,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(375,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(60,1),(116,1),(117,1),(329,1)}
        83:{1,3,4,6}:{(57,1),(58,1),(62,1),(116,1),(118,1),(119,1),(129,1),(199,1),(301,1)}
        84:{2,3,4,7}:{(57,1),(63,1),(117,1),(119,1),(213,1),(317,1),(422,1)}
        85:{2,4,5}:{(58,1),(118,1),(121,1)}
        86:{1,3,4,5,7}:{(58,1),(59,1),(66,1),(119,1),(122,1),(123,1),(135,1),(202,1),(215,1),(247,1),(337,1),(340,1),(399,1),(405,1),(407,1),(422,1),(425,1),(496,1),(498,1),(532,1)}
        87:{2,3,4,6}:{(59,1),(67,1),(123,1),(124,1),(148,1),(218,1),(244,1),(328,1),(415,1),(495,1),(531,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(116,1),(126,1),(137,1),(301,1),(476,1)}
        89:{2,4,5,7}:{(60,1),(61,1),(63,1),(117,1),(126,1),(127,1),(132,1),(209,1),(317,1),(416,1)}
        90:{1,3,4,6,7}:{(61,1),(127,1),(128,1),(210,1),(320,1),(321,1),(418,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(118,1),(129,1),(130,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(131,1),(132,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(132,1),(133,1),(232,1)}
        95:{1,3,5}:{(65,1),(121,1),(129,1),(134,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(122,1),(130,1),(135,1),(136,1),(144,1),(230,1),(241,1),(337,1),(340,1),(532,1),(533,1),(534,1),(537,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(137,1)}
        98:{2,5,6}:{(67,1),(68,1),(132,1),(137,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(133,1),(138,1),(343,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(129,1),(139,1),(140,1),(145,1),(208,1),(227,1),(234,1),(241,1),(335,1),(344,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(130,1),(141,1),(209,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(131,1),(141,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(132,1),(142,1),(143,1),(232,1),(319,1),(324,1),(339,1),(345,1),(418,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(133,1),(143,1),(405,1)}
       105:{1,2,4}:{(73,1),(134,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(135,1),(144,1),(145,1),(241,1),(537,1),(538,1),(539,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(137,1),(146,1),(147,1),(243,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(147,1),(148,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(145,1),(149,1),(229,1),(243,1),(345,1),(530,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(146,1),(241,1),(339,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(147,1),(337,1),(340,1)}
       113:{3,4,5,7}:{(81,1),(148,1),(232,1),(422,1),(425,1)}
       114:{1,2,4,5}:{(85,1),(152,1),(153,1),(156,1),(256,1),(352,1)}
       115:{1,2,3,5}:{(153,1),(155,1),(156,1),(256,1)}
       116:{1,3,5,6}:{(82,1),(83,1),(88,1),(158,1),(159,1)}
       117:{2,3,5,7}:{(82,1),(84,1),(89,1),(159,1),(160,1),(376,1)}
       118:{2,4,6}:{(83,1),(85,1),(158,1),(161,1),(162,1)}
       119:{1,3,4,7}:{(83,1),(84,1),(92,1),(159,1),(162,1),(176,1),(251,1),(353,1)}
       120:{2,3,4,6,7}:{(84,1),(87,1),(93,1),(160,1),(163,1),(164,1),(190,1),(265,1),(268,1),(294,1),(369,1),(375,1),(459,1),(460,1),(464,1),(506,1)}
       121:{2,3,5}:{(85,1),(95,1),(153,1),(161,1),(165,1)}
       122:{2,4,5,7}:{(85,1),(86,1),(162,1),(166,1),(167,1),(269,1),(375,1),(378,1),(521,1),(522,1)}
       123:{1,3,4,6}:{(86,1),(87,1),(97,1),(167,1),(168,1),(181,1),(254,1),(288,1),(298,1),(361,1),(379,1),(441,1),(545,1)}
       124:{2,3,5,6}:{(87,1),(98,1),(164,1),(168,1),(169,1),(184,1),(290,1),(457,1),(519,1),(543,1)}
       125:{1,2,4,5,6}:{(88,1),(91,1),(158,1),(170,1),(171,1),(182,1),(185,1),(261,1),(274,1),(288,1),(291,1),(457,1),(469,1)}
       126:{1,4,5,7}:{(88,1),(89,1),(92,1),(159,1),(172,1),(178,1),(353,1),(442,1)}
       127:{2,4,6,7}:{(89,1),(90,1),(160,1),(172,1),(173,1),(263,1)}
       128:{1,3,5,6,7}:{(90,1),(94,1),(173,1),(174,1),(281,1),(383,1)}
       129:{1,3,6}:{(91,1),(95,1),(161,1),(176,1)}
       130:{1,2,4,7}:{(91,1),(92,1),(101,1),(162,1),(176,1)}
       131:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(178,1)}
       132:{2,5,7}:{(93,1),(94,1),(98,1),(178,1)}
       133:{1,4,5,7}:{(94,1),(99,1),(104,1),(179,1),(390,1)}
       134:{1,3,4}:{(95,1),(105,1),(165,1)}
       135:{1,3,5,7}:{(95,1),(96,1),(166,1),(176,1),(180,1),(181,1),(287,1),(546,1),(547,1)}
       136:{1,2,4,6}:{(96,1),(97,1),(107,1),(167,1),(181,1),(182,1),(288,1),(545,1),(548,1)}
       137:{1,5,6}:{(97,1),(98,1),(178,1)}
       138:{2,4,5,6}:{(98,1),(99,1),(109,1),(179,1),(183,1),(184,1),(290,1)}
       139:{1,2,4,6}:{(100,1),(105,1),(175,1),(185,1),(186,1),(261,1),(288,1)}
       140:{1,2,3,5,7}:{(100,1),(101,1),(176,1),(186,1),(187,1),(262,1),(282,1),(284,1),(292,1)}
       141:{1,2,6,7}:{(101,1),(102,1),(107,1),(263,1)}
       142:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(178,1),(188,1),(189,1),(284,1),(286,1),(293,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(109,1),(179,1),(189,1),(190,1),(375,1)}
       144:{1,2,4,7}:{(105,1),(106,1),(180,1),(191,1),(549,1)}
       145:{1,2,3,6}:{(106,1),(107,1),(181,1),(191,1),(548,1)}
       146:{1,2,5,6}:{(107,1),(108,1),(111,1),(193,1),(290,1)}
       147:{1,4,6}:{(108,1),(109,1),(112,1)}
       148:{3,4,6}:{(109,1),(113,1),(184,1)}
       149:{1,2,3,5,7}:{(110,1),(111,1),(192,1),(195,1),(196,1),(284,1),(389,1),(511,1),(546,1)}
       150:{1,2,4,5,7}:{(111,1),(112,1),(193,1),(195,1),(196,1),(197,1),(295,1)}
       151:{1,3,4,5,7}:{(112,1),(113,1),(194,1),(196,1),(197,1),(286,1),(388,1),(391,1)}
       152:{1,2,4,6}:{(114,1),(118,1),(198,1),(199,1),(200,1),(301,1)}
       153:{1,3,5}:{(114,1),(121,1),(199,1),(201,1)}
       154:{1,2,4,5,7}:{(114,1),(122,1),(200,1),(202,1),(203,1),(206,1),(247,1),(307,1),(311,1),(314,1),(351,1),(399,1),(405,1),(407,1),(500,1),(501,1)}
       155:{1,2,3,6}:{(115,1),(199,1),(204,1),(205,1)}
       156:{1,2,4}:{(115,1),(201,1)}
       157:{1,2,3,5,7}:{(115,1),(202,1),(205,1),(206,1),(207,1),(311,1),(314,1),(351,1),(440,1),(503,1)}
       158:{2,5,6}:{(116,1),(118,1),(209,1)}
       159:{1,3,5,7}:{(116,1),(117,1),(119,1),(126,1),(209,1),(210,1)}
       160:{2,3,6,7}:{(117,1),(127,1),(210,1),(418,1)}
       161:{2,3,6}:{(118,1),(121,1),(129,1),(199,1),(213,1)}
       162:{2,4,7}:{(118,1),(119,1),(209,1),(213,1)}
       163:{1,3,4,6,7}:{(119,1),(120,1),(123,1),(131,1),(210,1),(214,1),(215,1),(229,1),(306,1),(320,1),(337,1),(346,1),(400,1),(405,1),(418,1),(422,1),(494,1),(496,1),(529,1)}
       164:{2,3,5,7}:{(120,1),(124,1),(132,1),(215,1),(216,1),(232,1),(339,1),(416,1),(493,1),(528,1)}
       165:{2,3,4}:{(121,1),(134,1),(201,1)}
       166:{2,3,5,7}:{(121,1),(122,1),(135,1),(202,1),(213,1),(217,1),(218,1),(327,1),(540,1),(541,1)}
       167:{2,4,6}:{(122,1),(123,1),(218,1),(219,1)}
       168:{1,3,5,6}:{(123,1),(124,1),(137,1),(215,1),(219,1),(220,1),(329,1),(343,1),(476,1),(551,1)}
       169:{2,4,5,6}:{(124,1),(216,1),(220,1),(221,1),(328,1)}
       170:{1,3,5,6}:{(125,1),(129,1),(208,1),(222,1),(223,1),(227,1),(329,1),(335,1)}
       171:{1,2,4,5,7}:{(125,1),(126,1),(130,1),(209,1),(223,1),(224,1),(230,1),(317,1),(325,1),(337,1),(416,1),(429,1)}
       172:{1,4,6,7}:{(126,1),(127,1),(210,1),(225,1)}
       173:{2,5,6,7}:{(127,1),(128,1),(132,1),(225,1),(416,1)}
       174:{1,4,5,6,7}:{(128,1),(133,1),(226,1),(320,1),(429,1),(430,1)}
       175:{1,3,4,6}:{(129,1),(134,1),(139,1),(212,1),(227,1),(228,1),(335,1)}
       176:{1,3,7}:{(129,1),(130,1),(213,1)}
       177:{1,2,4,6,7}:{(130,1),(131,1),(136,1),(141,1),(214,1),(229,1),(230,1),(337,1),(529,1),(530,1),(533,1)}
       178:{1,5,7}:{(131,1),(132,1),(137,1)}
       179:{2,4,5,7}:{(132,1),(133,1),(138,1),(143,1),(231,1),(232,1),(339,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(144,1),(217,1),(233,1),(337,1),(552,1)}
       181:{1,3,6}:{(135,1),(136,1),(218,1)}
       182:{1,2,5,6}:{(136,1),(137,1),(219,1),(230,1),(234,1),(241,1),(551,1)}
       183:{1,4,5,6}:{(137,1),(138,1),(147,1),(231,1),(236,1)}
       184:{3,5,6}:{(138,1),(148,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(227,1),(241,1),(316,1),(340,1)}
       186:{1,2,4,7}:{(139,1),(140,1),(228,1),(317,1),(337,1)}
       187:{1,2,3,6,7}:{(140,1),(141,1),(145,1),(229,1),(238,1),(318,1),(335,1),(538,1)}
       188:{1,2,5,6,7}:{(141,1),(142,1),(146,1),(230,1),(239,1),(319,1),(339,1),(430,1)}
       189:{1,4,6,7}:{(142,1),(143,1),(147,1),(231,1),(337,1)}
       190:{3,4,6,7}:{(143,1),(148,1),(232,1),(418,1),(422,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(233,1),(241,1)}
       192:{1,2,3,5,6}:{(145,1),(146,1),(149,1),(234,1),(241,1),(242,1),(243,1),(342,1),(347,1),(486,1),(535,1),(539,1)}
       193:{1,2,4,6}:{(146,1),(147,1),(150,1),(243,1),(244,1)}
       194:{1,3,4,6}:{(147,1),(148,1),(151,1),(236,1),(243,1),(244,1)}
       195:{1,2,4,7}:{(149,1),(242,1),(245,1),(337,1),(432,1)}
       196:{1,3,5,7}:{(150,1),(243,1),(245,1),(246,1),(347,1)}
       197:{2,4,5,7}:{(151,1),(244,1),(246,1),(247,1),(339,1),(432,1),(434,1)}
       198:{1,2,5,6}:{(152,1),(158,1),(248,1),(249,1),(256,1),(363,1)}
       199:{1,3,6}:{(152,1),(153,1),(161,1),(251,1)}
       200:{1,2,4,7}:{(152,1),(162,1),(249,1),(251,1),(353,1)}
       201:{1,3,4}:{(153,1),(156,1),(165,1)}
       202:{1,3,5,7}:{(153,1),(154,1),(166,1),(251,1),(253,1),(254,1),(360,1),(524,1),(525,1)}
       203:{1,2,4,6}:{(154,1),(167,1),(254,1),(255,1),(298,1),(361,1),(363,1),(397,1),(441,1)}
       204:{1,2,4,6}:{(155,1),(156,1),(250,1),(256,1),(257,1),(363,1)}
       205:{1,2,3,7}:{(155,1),(251,1),(257,1)}
       206:{1,2,4,7}:{(156,1),(157,1),(253,1),(259,1),(526,1)}
       207:{1,2,3,6}:{(157,1),(254,1),(259,1),(363,1),(397,1)}
       208:{2,3,5,6}:{(158,1),(161,1),(170,1),(248,1),(261,1),(262,1),(266,1),(373,1),(457,1)}
       209:{2,5,7}:{(158,1),(159,1),(162,1),(263,1)}
       210:{1,3,6,7}:{(159,1),(160,1),(172,1),(263,1)}
       211:{2,3,5,6,7}:{(160,1),(164,1),(173,1),(264,1),(265,1),(281,1),(385,1),(460,1)}
       212:{2,3,4,6}:{(161,1),(165,1),(175,1),(250,1),(261,1),(266,1),(267,1),(373,1)}
       213:{2,3,7}:{(161,1),(162,1),(176,1),(251,1)}
       214:{2,4,6,7}:{(162,1),(163,1),(167,1),(263,1),(268,1),(269,1),(375,1),(520,1),(521,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(168,1),(178,1),(269,1),(270,1),(376,1),(390,1),(442,1),(544,1)}
       216:{2,4,5,7}:{(164,1),(169,1),(265,1),(270,1),(271,1),(375,1)}
       217:{2,3,4,7}:{(165,1),(166,1),(180,1),(253,1),(272,1),(375,1),(550,1)}
       218:{2,3,6}:{(166,1),(167,1),(181,1),(254,1)}
       219:{2,5,6}:{(167,1),(168,1),(269,1)}
       220:{1,4,5,6}:{(168,1),(169,1),(270,1),(274,1),(288,1),(361,1)}
       221:{3,4,5,6}:{(169,1),(184,1),(271,1),(379,1),(519,1)}
       222:{1,3,4,6}:{(170,1),(261,1),(276,1),(277,1),(288,1),(379,1)}
       223:{1,3,5,7}:{(170,1),(171,1),(176,1),(262,1),(277,1),(278,1),(376,1)}
       224:{1,2,4,6,7}:{(171,1),(172,1),(263,1),(278,1),(279,1),(291,1),(369,1),(371,1),(384,1)}
       225:{1,5,6,7}:{(172,1),(173,1),(178,1),(442,1)}
       226:{2,4,5,6,7}:{(173,1),(174,1),(179,1),(265,1),(280,1),(281,1),(371,1),(385,1),(458,1)}
       227:{1,3,5}:{(175,1),(185,1),(266,1)}
       228:{1,3,4,7}:{(175,1),(176,1),(186,1),(267,1),(282,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(181,1),(268,1),(284,1),(546,1)}
       230:{1,2,5,7}:{(177,1),(178,1),(182,1),(269,1),(284,1),(544,1)}
       231:{1,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(286,1)}
       232:{3,5,7}:{(179,1),(184,1),(190,1)}
       233:{1,3,4,6}:{(180,1),(181,1),(191,1),(272,1),(287,1),(288,1)}
       234:{1,3,5,6}:{(181,1),(182,1),(273,1),(284,1),(287,1),(288,1)}
       235:{1,2,4,5,6}:{(182,1),(183,1),(193,1),(274,1),(285,1),(288,1),(289,1),(290,1),(295,1),(381,1),(392,1),(468,1),(513,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(194,1),(286,1),(290,1)}
       237:{1,2,4,5,7}:{(185,1),(186,1),(282,1),(291,1),(292,1),(368,1),(387,1)}
       238:{1,2,4,6,7}:{(186,1),(187,1),(191,1),(283,1),(291,1),(292,1),(369,1),(516,1),(548,1)}
       239:{1,2,4,6,7}:{(188,1),(189,1),(193,1),(285,1),(293,1),(294,1),(371,1),(461,1),(520,1)}
       240:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(286,1),(293,1),(294,1),(388,1)}
       241:{1,2,5}:{(191,1),(287,1)}
       242:{1,2,4,6}:{(192,1),(195,1),(288,1),(295,1),(296,1),(392,1),(549,1)}
       243:{1,3,6}:{(193,1),(196,1),(297,1)}
       244:{2,4,6}:{(194,1),(197,1),(290,1),(297,1),(298,1)}
       245:{1,3,4,7}:{(195,1),(196,1),(296,1),(299,1),(546,1)}
       246:{2,3,5,7}:{(196,1),(197,1),(297,1),(299,1),(300,1),(395,1)}
       247:{1,4,5,7}:{(197,1),(298,1),(300,1),(390,1),(470,1),(472,1)}
       248:{1,3,5,6}:{(198,1),(199,1),(208,1),(301,1),(302,1),(304,1),(403,1),(476,1)}
       249:{1,2,5,7}:{(198,1),(200,1),(209,1),(302,1),(303,1)}
       250:{1,3,4,6}:{(199,1),(201,1),(204,1),(212,1),(301,1),(304,1),(305,1),(403,1)}
       251:{1,3,7}:{(199,1),(200,1),(213,1)}
       252:{1,2,4,6,7}:{(200,1),(203,1),(214,1),(303,1),(306,1),(307,1),(346,1),(400,1),(405,1),(437,1),(500,1)}
       253:{1,3,4,7}:{(201,1),(202,1),(206,1),(217,1),(308,1),(405,1),(542,1)}
       254:{1,3,6}:{(202,1),(203,1),(218,1)}
       255:{1,2,5,6}:{(203,1),(219,1),(307,1),(309,1),(314,1),(343,1),(476,1)}
       256:{1,2,5}:{(204,1),(304,1)}
       257:{1,2,4,7}:{(204,1),(205,1),(305,1),(311,1)}
       258:{1,2,3,6,7}:{(205,1),(207,1),(306,1),(312,1),(313,1),(437,1),(479,1),(487,1)}
       259:{1,2,4,6}:{(206,1),(207,1),(308,1),(314,1)}
       260:{1,2,3,5,6}:{(207,1),(309,1),(313,1),(314,1),(315,1),(409,1),(410,1),(413,1),(436,1),(487,1),(502,1),(503,1)}
       261:{2,4,6}:{(208,1),(222,1),(301,1),(316,1),(317,1)}
       262:{2,3,5,7}:{(208,1),(209,1),(213,1),(223,1),(302,1),(317,1),(318,1),(416,1)}
       263:{2,6,7}:{(209,1),(210,1)}
       264:{1,3,5,6,7}:{(210,1),(211,1),(215,1),(225,1),(319,1),(320,1),(418,1),(430,1),(494,1)}
       265:{2,4,6,7}:{(211,1),(216,1),(320,1),(321,1)}
       266:{2,3,5}:{(212,1),(227,1),(304,1),(316,1)}
       267:{2,3,4,7}:{(212,1),(213,1),(228,1),(305,1),(317,1),(322,1)}
       268:{2,3,6,7}:{(213,1),(214,1),(218,1),(229,1),(306,1),(324,1),(418,1),(540,1)}
       269:{2,5,7}:{(214,1),(215,1),(219,1)}
       270:{1,4,5,7}:{(215,1),(216,1),(220,1),(320,1),(325,1),(337,1),(405,1)}
       271:{3,4,5,7}:{(216,1),(221,1),(232,1),(321,1),(422,1),(493,1)}
       272:{2,3,4,6}:{(217,1),(218,1),(233,1),(308,1),(327,1),(328,1)}
       273:{2,3,5,6}:{(218,1),(219,1),(234,1),(309,1),(324,1),(327,1),(328,1),(329,1)}
       274:{2,4,5,6}:{(219,1),(220,1),(325,1),(328,1),(329,1)}
       275:{1,3,4,5,6}:{(220,1),(221,1),(236,1),(326,1),(329,1),(330,1),(341,1),(408,1),(427,1),(527,1)}
       276:{1,3,4,5}:{(222,1),(227,1),(316,1),(340,1),(425,1)}
       277:{1,3,4,7}:{(222,1),(223,1),(317,1),(337,1),(422,1)}
       278:{1,3,6,7}:{(223,1),(224,1),(318,1),(335,1),(418,1)}
       279:{1,2,5,6,7}:{(224,1),(225,1),(230,1),(319,1),(333,1),(344,1),(416,1),(530,1)}
       280:{1,4,5,6,7}:{(225,1),(226,1),(231,1),(320,1),(334,1),(477,1)}
       281:{3,5,6,7}:{(226,1),(232,1),(321,1),(418,1),(493,1)}
       282:{1,3,5,7}:{(227,1),(228,1),(237,1),(322,1),(335,1)}
       283:{1,3,4,6,7}:{(228,1),(229,1),(233,1),(238,1),(323,1),(335,1),(336,1),(337,1),(431,1),(489,1),(529,1),(536,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(234,1),(324,1),(337,1)}
       285:{1,2,4,5,7}:{(230,1),(231,1),(235,1),(239,1),(325,1),(337,1),(338,1),(339,1),(424,1),(432,1),(497,1),(533,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(240,1),(339,1)}
       287:{1,3,5}:{(233,1),(241,1),(327,1),(340,1)}
       288:{1,4,6}:{(234,1),(328,1),(337,1),(340,1)}
       289:{1,3,5,6}:{(235,1),(243,1),(329,1),(338,1),(341,1),(342,1),(347,1),(535,1)}
       290:{2,5,6}:{(236,1),(244,1),(339,1),(343,1)}
       291:{1,2,4,6}:{(237,1),(335,1),(344,1),(415,1),(431,1)}
       292:{1,2,5,7}:{(238,1),(241,1),(336,1),(344,1),(416,1)}
       293:{1,3,6,7}:{(239,1),(243,1),(338,1),(345,1),(418,1)}
       294:{2,4,6,7}:{(240,1),(244,1),(339,1),(345,1),(346,1),(432,1)}
       295:{1,2,4,5}:{(241,1),(242,1),(340,1),(347,1),(434,1)}
       296:{1,3,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1),(535,1),(552,1)}
       297:{2,3,6}:{(243,1),(244,1),(246,1),(349,1)}
       298:{1,4,6}:{(244,1),(247,1),(343,1),(349,1)}
       299:{2,3,4,7}:{(245,1),(246,1),(348,1),(350,1),(432,1),(540,1)}
       300:{1,3,5,7}:{(246,1),(247,1),(349,1),(350,1),(351,1),(438,1)}
       301:{1,4,6}:{(248,1),(261,1),(352,1),(353,1)}
       302:{1,3,5,7}:{(248,1),(249,1),(251,1),(262,1),(353,1),(354,1),(442,1)}
       303:{1,2,6,7}:{(249,1),(263,1),(354,1),(363,1)}
       304:{1,3,5}:{(250,1),(256,1),(266,1),(352,1)}
       305:{1,3,4,7}:{(250,1),(251,1),(257,1),(267,1),(353,1),(356,1)}
       306:{1,3,6,7}:{(251,1),(252,1),(254,1),(268,1),(358,1),(524,1)}
       307:{1,2,5,7}:{(252,1),(255,1),(269,1),(358,1),(390,1),(442,1)}
       308:{1,3,4,6}:{(253,1),(254,1),(259,1),(272,1),(360,1),(361,1)}
       309:{1,3,5,6}:{(254,1),(255,1),(273,1),(358,1),(360,1),(361,1)}
       310:{1,2,4,5,6}:{(255,1),(274,1),(359,1),(361,1),(362,1),(366,1),(381,1),(450,1),(452,1),(468,1),(473,1),(504,1),(543,1)}
       311:{1,2,5,7}:{(256,1),(257,1),(356,1),(363,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(259,1),(357,1),(363,1),(364,1),(365,1),(452,1),(506,1)}
       313:{1,2,3,5,7}:{(258,1),(260,1),(358,1),(364,1),(365,1),(448,1),(453,1),(471,1),(524,1)}
       314:{1,2,5}:{(259,1),(360,1)}
       315:{1,2,4,6}:{(260,1),(361,1),(365,1),(366,1),(367,1),(450,1),(526,1)}
       316:{2,4,5}:{(261,1),(266,1),(276,1),(352,1)}
       317:{2,4,7}:{(261,1),(262,1),(277,1),(353,1)}
       318:{2,3,6,7}:{(262,1),(263,1),(278,1),(354,1),(369,1),(373,1)}
       319:{2,5,6,7}:{(263,1),(264,1),(269,1),(371,1),(520,1)}
       320:{1,4,6,7}:{(264,1),(265,1),(270,1),(371,1)}
       321:{3,4,6,7}:{(265,1),(271,1),(281,1)}
       322:{2,3,5,7}:{(266,1),(267,1),(282,1),(356,1),(368,1),(373,1)}
       323:{2,3,4,6,7}:{(267,1),(268,1),(272,1),(283,1),(357,1),(369,1),(373,1),(374,1),(375,1),(454,1),(459,1),(462,1),(506,1),(514,1)}
       324:{2,3,5,7}:{(268,1),(269,1),(273,1),(284,1),(358,1),(375,1),(376,1)}
       325:{2,4,5,7}:{(269,1),(270,1),(274,1),(371,1),(375,1),(376,1)}
       326:{1,3,4,5,7}:{(270,1),(271,1),(275,1),(286,1),(372,1),(376,1),(377,1),(388,1),(447,1),(465,1),(505,1)}
       327:{2,3,5}:{(272,1),(287,1),(360,1),(378,1)}
       328:{2,4,6}:{(273,1),(288,1),(361,1),(375,1),(378,1),(379,1)}
       329:{3,5,6}:{(274,1),(376,1),(379,1)}
       330:{2,4,5,6}:{(275,1),(290,1),(377,1),(380,1),(381,1),(392,1),(450,1),(468,1),(543,1)}
       331:{1,3,4,5,7}:{(276,1),(277,1),(282,1),(368,1),(382,1),(383,1),(387,1),(463,1)}
       332:{1,3,4,6,7}:{(277,1),(278,1),(369,1),(382,1),(383,1),(384,1),(459,1)}
       333:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(370,1),(383,1),(384,1),(386,1),(507,1),(544,1)}
       334:{1,3,5,6,7}:{(280,1),(281,1),(286,1),(372,1),(385,1),(505,1)}
       335:{1,3,6}:{(282,1),(291,1),(373,1)}
       336:{1,3,5,7}:{(283,1),(287,1),(292,1),(374,1),(386,1),(387,1),(544,1)}
       337:{1,4,7}:{(284,1),(288,1),(375,1)}
       338:{1,3,5,7}:{(285,1),(289,1),(293,1),(376,1),(388,1),(389,1),(546,1)}
       339:{2,5,7}:{(286,1),(290,1),(294,1),(390,1)}
       340:{1,4,5}:{(287,1),(288,1),(378,1)}
       341:{1,3,4,6}:{(288,1),(289,1),(379,1),(388,1),(391,1),(392,1)}
       342:{2,3,5,6}:{(289,1),(290,1),(297,1),(389,1),(392,1),(393,1),(395,1),(468,1),(523,1)}
       343:{1,5,6}:{(290,1),(298,1),(390,1)}
       344:{1,2,5,6}:{(291,1),(292,1),(386,1),(457,1),(548,1)}
       345:{2,3,6,7}:{(293,1),(294,1),(297,1),(389,1),(394,1),(520,1)}
       346:{1,4,6,7}:{(294,1),(298,1),(390,1),(394,1),(470,1)}
       347:{1,3,5}:{(295,1),(296,1),(395,1)}
       348:{2,3,4,6}:{(296,1),(297,1),(299,1),(392,1),(395,1),(396,1),(523,1),(550,1)}
       349:{1,3,6}:{(297,1),(298,1),(300,1),(397,1)}
       350:{1,3,4,7}:{(299,1),(300,1),(396,1),(398,1),(470,1),(524,1)}
       351:{1,2,5,7}:{(300,1),(397,1),(398,1),(474,1)}
       352:{1,4,5}:{(301,1),(304,1),(316,1)}
       353:{1,4,7}:{(301,1),(302,1),(317,1)}
       354:{1,3,6,7}:{(302,1),(303,1),(318,1),(400,1),(403,1)}
       355:{1,2,5,6,7}:{(303,1),(307,1),(319,1),(401,1),(402,1),(410,1),(430,1),(528,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(311,1),(322,1),(399,1),(403,1)}
       357:{1,3,4,6,7}:{(305,1),(306,1),(308,1),(312,1),(323,1),(400,1),(403,1),(404,1),(405,1),(412,1),(480,1),(487,1)}
       358:{1,3,5,7}:{(306,1),(307,1),(309,1),(324,1),(405,1)}
       359:{1,2,4,5,7}:{(307,1),(310,1),(325,1),(402,1),(405,1),(406,1),(424,1),(477,1),(482,1),(497,1),(500,1),(528,1)}
       360:{1,3,5}:{(308,1),(314,1),(327,1),(407,1)}
       361:{1,4,6}:{(309,1),(328,1),(405,1),(407,1)}
       362:{1,3,5,6}:{(310,1),(329,1),(406,1),(408,1),(409,1),(413,1),(487,1),(502,1)}
       363:{1,2,6}:{(311,1),(403,1)}
       364:{1,2,5,7}:{(312,1),(314,1),(404,1),(410,1),(528,1)}
       365:{1,2,4,7}:{(313,1),(315,1),(405,1),(412,1),(482,1)}
       366:{1,2,4,5}:{(314,1),(315,1),(407,1),(413,1),(484,1)}
       367:{1,3,4,6}:{(315,1),(412,1),(413,1),(414,1),(487,1),(502,1),(542,1)}
       368:{2,4,5,7}:{(316,1),(317,1),(322,1),(331,1),(399,1),(415,1),(416,1)}
       369:{2,4,6,7}:{(317,1),(318,1),(332,1),(400,1),(415,1),(416,1)}
       370:{2,3,5,6,7}:{(318,1),(319,1),(324,1),(333,1),(401,1),(416,1),(417,1),(418,1),(420,1),(479,1),(493,1),(528,1)}
       371:{2,4,6,7}:{(319,1),(320,1),(325,1),(418,1)}
       372:{1,3,4,6,7}:{(320,1),(321,1),(326,1),(334,1),(418,1),(419,1),(494,1)}
       373:{2,3,6}:{(322,1),(335,1),(403,1),(415,1)}
       374:{2,3,5,7}:{(323,1),(327,1),(336,1),(404,1),(416,1),(420,1),(421,1),(493,1),(528,1)}
       375:{2,4,7}:{(324,1),(328,1),(337,1),(405,1),(422,1)}
       376:{3,5,7}:{(325,1),(329,1),(418,1),(422,1)}
       377:{2,4,5,7}:{(326,1),(330,1),(339,1),(419,1),(423,1),(424,1),(432,1),(482,1),(497,1),(528,1)}
       378:{2,4,5}:{(327,1),(328,1),(340,1),(407,1),(425,1)}
       379:{3,4,6}:{(328,1),(329,1),(422,1),(425,1)}
       380:{2,3,5,6}:{(329,1),(330,1),(423,1),(426,1),(427,1)}
       381:{1,4,5,6}:{(330,1),(343,1),(424,1),(427,1),(435,1),(485,1),(551,1)}
       382:{1,3,4,6}:{(331,1),(335,1),(415,1),(428,1),(431,1),(495,1)}
       383:{1,3,5,7}:{(332,1),(416,1),(428,1),(429,1),(493,1)}
       384:{1,4,6,7}:{(333,1),(337,1),(417,1),(429,1),(431,1)}
       385:{2,5,6,7}:{(334,1),(339,1),(419,1),(430,1),(528,1)}
       386:{1,3,5,6}:{(335,1),(336,1),(344,1),(420,1),(431,1),(536,1),(551,1)}
       387:{1,4,5,7}:{(336,1),(337,1),(340,1),(421,1),(431,1)}
       388:{1,3,4,7}:{(337,1),(338,1),(341,1),(422,1),(432,1)}
       389:{2,3,5,7}:{(338,1),(339,1),(342,1),(345,1),(432,1),(433,1),(497,1),(540,1)}
       390:{1,5,7}:{(339,1),(343,1),(346,1)}
       391:{1,3,4,5}:{(340,1),(341,1),(347,1),(425,1),(434,1)}
       392:{2,4,6}:{(341,1),(342,1),(432,1),(434,1),(435,1)}
       393:{1,3,5,6}:{(342,1),(343,1),(349,1),(433,1),(435,1),(436,1),(438,1),(502,1)}
       394:{1,3,6,7}:{(345,1),(346,1),(349,1),(433,1),(437,1)}
       395:{2,3,5}:{(347,1),(348,1),(434,1),(438,1)}
       396:{1,3,4,6}:{(348,1),(349,1),(350,1),(435,1),(438,1),(439,1),(502,1),(542,1)}
       397:{1,2,6}:{(349,1),(351,1)}
       398:{1,2,4,7}:{(350,1),(351,1),(439,1),(440,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(356,1),(368,1),(441,1),(442,1)}
       400:{1,4,6,7}:{(353,1),(354,1),(369,1),(441,1),(442,1)}
       401:{1,3,5,6,7}:{(354,1),(355,1),(358,1),(370,1),(442,1),(443,1),(444,1),(445,1),(505,1)}
       402:{1,2,4,6,7}:{(355,1),(359,1),(371,1),(443,1),(444,1),(452,1),(461,1),(506,1),(520,1)}
       403:{1,3,6}:{(356,1),(363,1),(373,1),(441,1)}
       404:{1,3,5,7}:{(357,1),(360,1),(364,1),(374,1),(442,1),(445,1),(446,1)}
       405:{1,4,7}:{(358,1),(361,1),(375,1)}
       406:{1,3,5,7}:{(359,1),(362,1),(376,1),(444,1),(447,1),(448,1),(524,1)}
       407:{1,4,5}:{(360,1),(361,1),(378,1)}
       408:{1,3,4,6}:{(361,1),(362,1),(379,1),(447,1),(449,1),(450,1)}
       409:{2,3,5,6}:{(362,1),(448,1),(450,1),(451,1),(455,1),(468,1),(514,1),(523,1),(543,1)}
       410:{1,2,5,6}:{(363,1),(364,1),(445,1),(452,1),(543,1)}
       411:{1,2,4,5,7}:{(364,1),(365,1),(366,1),(446,1),(452,1),(453,1),(509,1)}
       412:{1,3,4,7}:{(365,1),(367,1),(453,1),(454,1),(524,1)}
       413:{1,3,5}:{(366,1),(367,1),(455,1)}
       414:{2,3,4,6}:{(367,1),(450,1),(454,1),(455,1),(456,1),(514,1),(523,1),(550,1)}
       415:{2,4,6}:{(368,1),(373,1),(382,1),(441,1),(457,1)}
       416:{2,5,7}:{(369,1),(383,1),(442,1),(457,1)}
       417:{2,4,6,7}:{(370,1),(375,1),(384,1),(443,1),(458,1),(459,1),(462,1)}
       418:{3,6,7}:{(371,1),(376,1)}
       419:{2,4,6,7}:{(372,1),(377,1),(385,1),(460,1),(461,1),(520,1)}
       420:{2,3,5,6}:{(373,1),(374,1),(386,1),(445,1),(457,1),(462,1),(514,1),(519,1),(543,1)}
       421:{2,4,5,7}:{(374,1),(375,1),(378,1),(387,1),(446,1),(462,1),(463,1)}
       422:{3,4,7}:{(375,1),(376,1),(379,1)}
       423:{2,3,5,7}:{(376,1),(377,1),(380,1),(460,1),(464,1),(465,1)}
       424:{1,4,5,7}:{(377,1),(381,1),(390,1),(461,1),(465,1),(470,1),(510,1),(544,1)}
       425:{3,4,5}:{(378,1),(379,1)}
       426:{2,3,4,6}:{(379,1),(380,1),(392,1),(450,1),(464,1),(466,1),(467,1),(523,1)}
       427:{1,3,5,6}:{(380,1),(381,1),(465,1),(467,1),(468,1)}
       428:{1,3,5,6}:{(382,1),(383,1),(457,1),(469,1),(519,1)}
       429:{1,4,5,7}:{(383,1),(384,1),(458,1),(469,1),(544,1)}
       430:{1,5,6,7}:{(385,1),(390,1),(461,1),(544,1)}
       431:{1,4,6}:{(386,1),(387,1),(462,1)}
       432:{2,4,7}:{(388,1),(389,1),(392,1),(470,1)}
       433:{1,3,5,7}:{(389,1),(390,1),(393,1),(394,1),(470,1),(471,1),(524,1)}
       434:{2,4,5}:{(391,1),(392,1),(395,1),(472,1)}
       435:{1,4,6}:{(392,1),(393,1),(470,1),(472,1)}
       436:{1,2,5,6}:{(393,1),(397,1),(468,1),(471,1),(473,1),(474,1)}
       437:{1,2,6,7}:{(394,1),(397,1),(471,1),(520,1)}
       438:{1,3,5}:{(395,1),(396,1),(472,1),(474,1)}
       439:{1,2,4,6}:{(396,1),(397,1),(398,1),(474,1),(475,1),(526,1)}
       440:{1,2,3,7}:{(398,1),(475,1),(524,1)}
       441:{1,4,6}:{(399,1),(403,1),(415,1),(476,1)}
       442:{1,5,7}:{(400,1),(416,1),(476,1)}
       443:{1,4,6,7}:{(401,1),(405,1),(417,1),(477,1),(480,1)}
       444:{1,3,6,7}:{(402,1),(406,1),(418,1),(479,1),(487,1)}
       445:{1,3,5,6}:{(403,1),(404,1),(410,1),(420,1),(476,1),(480,1),(487,1)}
       446:{1,4,5,7}:{(404,1),(405,1),(407,1),(421,1),(480,1)}
       447:{1,3,4,7}:{(405,1),(406,1),(408,1),(422,1),(482,1)}
       448:{2,3,5,7}:{(406,1),(409,1),(479,1),(482,1),(483,1),(497,1),(528,1),(540,1)}
       449:{1,3,4,5}:{(407,1),(408,1),(413,1),(425,1),(484,1)}
       450:{2,4,6}:{(408,1),(409,1),(482,1),(484,1),(485,1)}
       451:{1,3,5,6}:{(409,1),(483,1),(485,1),(486,1),(490,1),(535,1),(536,1),(551,1)}
       452:{1,2,4,6}:{(410,1),(411,1),(480,1),(487,1),(531,1)}
       453:{1,3,5,7}:{(411,1),(412,1),(413,1),(487,1),(488,1)}
       454:{2,3,4,7}:{(412,1),(414,1),(482,1),(488,1),(489,1),(540,1)}
       455:{2,3,5}:{(413,1),(414,1),(484,1),(490,1)}
       456:{1,3,4,6}:{(414,1),(485,1),(489,1),(490,1),(491,1),(535,1),(536,1),(552,1)}
       457:{2,5,6}:{(415,1),(416,1),(428,1),(476,1)}
       458:{2,4,5,7}:{(416,1),(417,1),(429,1),(477,1),(492,1),(493,1),(528,1)}
       459:{3,4,6,7}:{(417,1),(418,1),(422,1),(493,1),(495,1)}
       460:{2,3,6,7}:{(418,1),(419,1),(423,1),(494,1)}
       461:{1,4,6,7}:{(419,1),(424,1),(430,1),(494,1)}
       462:{2,4,6}:{(420,1),(421,1),(431,1),(480,1),(495,1)}
       463:{3,4,5,7}:{(421,1),(422,1),(425,1),(493,1),(495,1)}
       464:{2,3,4,7}:{(422,1),(423,1),(426,1),(432,1),(482,1),(496,1),(540,1)}
       465:{1,3,5,7}:{(423,1),(424,1),(427,1),(494,1),(496,1),(497,1)}
       466:{2,3,4,5}:{(425,1),(426,1),(434,1),(484,1),(498,1),(541,1)}
       467:{1,3,4,6}:{(426,1),(427,1),(435,1),(485,1),(496,1),(498,1),(499,1),(502,1),(535,1)}
       468:{2,5,6}:{(427,1),(497,1),(499,1)}
       469:{1,4,5,6}:{(428,1),(429,1),(431,1),(492,1),(551,1)}
       470:{1,4,7}:{(432,1),(433,1),(435,1)}
       471:{1,2,5,7}:{(433,1),(436,1),(437,1),(497,1),(500,1)}
       472:{1,4,5}:{(434,1),(435,1),(438,1)}
       473:{1,2,4,6}:{(435,1),(436,1),(499,1),(500,1),(501,1),(502,1)}
       474:{1,2,5}:{(438,1),(439,1)}
       475:{1,2,3,6}:{(439,1),(440,1),(502,1),(503,1)}
       476:{1,5,6}:{(441,1),(442,1),(457,1)}
       477:{1,4,5,7}:{(442,1),(443,1),(458,1),(504,1),(505,1)}
       478:{1,3,4,6,7}:{(443,1),(444,1),(447,1),(459,1),(505,1),(506,1),(508,1)}
       479:{2,3,6,7}:{(444,1),(448,1),(506,1),(507,1),(514,1),(520,1)}
       480:{1,4,6}:{(445,1),(446,1),(462,1)}
       481:{1,3,4,5,7}:{(446,1),(447,1),(449,1),(453,1),(463,1),(505,1),(508,1),(509,1)}
       482:{2,4,7}:{(447,1),(448,1),(450,1),(510,1)}
       483:{1,3,5,7}:{(448,1),(451,1),(507,1),(510,1),(511,1),(544,1),(546,1)}
       484:{2,4,5}:{(449,1),(450,1),(455,1),(512,1)}
       485:{1,4,6}:{(450,1),(451,1),(510,1),(512,1)}
       486:{1,2,5,6}:{(451,1),(468,1),(511,1),(513,1),(517,1),(548,1)}
       487:{1,3,6}:{(452,1),(453,1),(514,1)}
       488:{2,3,5,7}:{(453,1),(454,1),(455,1),(509,1),(514,1),(515,1)}
       489:{1,3,4,7}:{(454,1),(456,1),(510,1),(515,1),(516,1),(546,1)}
       490:{1,3,5}:{(455,1),(456,1),(512,1),(517,1)}
       491:{1,2,4,6}:{(456,1),(516,1),(517,1),(518,1),(548,1),(549,1)}
       492:{2,4,5,6}:{(457,1),(458,1),(462,1),(469,1),(504,1),(519,1),(543,1)}
       493:{3,5,7}:{(458,1),(459,1),(519,1)}
       494:{1,3,6,7}:{(460,1),(461,1),(465,1),(520,1)}
       495:{3,4,6}:{(462,1),(463,1),(519,1)}
       496:{1,3,4,7}:{(464,1),(465,1),(467,1),(470,1),(510,1),(521,1),(524,1),(546,1)}
       497:{2,5,7}:{(465,1),(468,1),(520,1),(521,1)}
       498:{1,3,4,5}:{(466,1),(467,1),(472,1),(512,1),(522,1),(525,1),(547,1)}
       499:{2,4,6}:{(467,1),(468,1),(521,1),(522,1),(523,1)}
       500:{1,2,4,7}:{(470,1),(471,1),(473,1),(521,1),(524,1)}
       501:{1,2,4,5}:{(472,1),(473,1),(474,1),(522,1),(525,1),(526,1)}
       502:{1,3,6}:{(473,1),(523,1),(524,1),(525,1)}
       503:{1,2,3,5}:{(474,1),(475,1),(525,1),(526,1)}
       504:{1,4,5,6}:{(476,1),(477,1),(480,1),(492,1),(527,1)}
       505:{1,3,5,7}:{(477,1),(478,1),(493,1),(527,1),(528,1)}
       506:{2,4,6,7}:{(478,1),(479,1),(482,1),(528,1),(529,1),(531,1)}
       507:{1,3,6,7}:{(479,1),(483,1),(529,1),(530,1),(536,1)}
       508:{1,3,4,6}:{(480,1),(481,1),(487,1),(495,1),(527,1),(531,1)}
       509:{2,4,5,7}:{(481,1),(482,1),(484,1),(488,1),(528,1),(531,1),(532,1)}
       510:{1,4,7}:{(482,1),(483,1),(485,1)}
       511:{1,2,5,7}:{(483,1),(486,1),(497,1),(530,1),(533,1)}
       512:{1,4,5}:{(484,1),(485,1),(490,1)}
       513:{1,2,4,6}:{(485,1),(486,1),(499,1),(533,1),(534,1),(535,1)}
       514:{2,3,6}:{(487,1),(488,1),(531,1),(536,1)}
       515:{1,3,5,7}:{(488,1),(489,1),(490,1),(532,1),(536,1),(537,1)}
       516:{1,2,4,7}:{(489,1),(491,1),(537,1),(538,1)}
       517:{1,2,5}:{(490,1),(491,1)}
       518:{1,2,3,6}:{(491,1),(535,1),(538,1),(539,1)}
       519:{3,5,6}:{(492,1),(493,1),(495,1)}
       520:{2,6,7}:{(494,1),(497,1)}
       521:{2,4,7}:{(496,1),(497,1),(499,1),(540,1)}
       522:{2,4,5}:{(498,1),(499,1),(541,1)}
       523:{2,3,6}:{(499,1),(502,1),(535,1),(540,1),(541,1)}
       524:{1,3,7}:{(500,1),(502,1),(540,1)}
       525:{1,3,5}:{(501,1),(502,1),(541,1),(542,1)}
       526:{1,2,4}:{(503,1),(542,1)}
       527:{1,3,5,6}:{(504,1),(505,1),(508,1),(519,1),(543,1)}
       528:{2,5,7}:{(505,1),(506,1),(543,1),(544,1)}
       529:{1,4,6,7}:{(506,1),(507,1),(510,1),(544,1),(545,1)}
       530:{1,2,6,7}:{(507,1),(511,1),(520,1),(548,1)}
       531:{2,4,6}:{(508,1),(509,1),(514,1),(543,1),(545,1)}
       532:{1,4,5,7}:{(509,1),(510,1),(512,1),(515,1),(544,1),(545,1)}
       533:{1,2,4,7}:{(510,1),(511,1),(513,1),(521,1),(546,1)}
       534:{1,2,4,5}:{(512,1),(513,1),(517,1),(522,1),(547,1),(549,1)}
       535:{1,3,6}:{(513,1),(523,1),(546,1),(547,1)}
       536:{1,3,6}:{(514,1),(515,1),(545,1),(548,1)}
       537:{1,2,5,7}:{(515,1),(516,1),(517,1),(548,1)}
       538:{1,2,3,7}:{(516,1),(518,1),(546,1)}
       539:{1,2,3,5}:{(517,1),(518,1),(547,1),(549,1)}
       540:{2,3,7}:{(521,1),(523,1),(524,1),(546,1)}
       541:{2,3,5}:{(522,1),(523,1),(525,1),(547,1),(550,1)}
       542:{1,3,4}:{(525,1),(526,1),(550,1)}
       543:{2,5,6}:{(527,1),(528,1),(531,1),(551,1)}
       544:{1,5,7}:{(528,1),(529,1),(551,1)}
       545:{1,4,6}:{(531,1),(532,1),(536,1),(551,1)}
       546:{1,3,7}:{(533,1),(535,1),(540,1)}
       547:{1,3,5}:{(534,1),(535,1),(541,1),(552,1)}
       548:{1,2,6}:{(536,1),(537,1)}
       549:{1,2,4}:{(539,1),(552,1)}
       550:{2,3,4}:{(541,1),(542,1),(552,1)}
       551:{1,5,6}:{(543,1),(544,1),(545,1)}
       552:{1,3,4}:{(547,1),(549,1),(550,1)}

1521 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1522 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1523 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(45,1),(121,1),(157,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(24,1),(25,1),(26,1),(64,1),(65,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(24,1),(27,1),(168,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(56,1),(64,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(34,1),(74,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(124,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(82,1),(83,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(44,1),(88,1),(158,1)}
        25:{1,3,5}:{(11,1),(14,1),(38,1),(41,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(42,1),(45,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(43,1),(45,1),(46,1),(78,1),(157,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(79,1),(88,1)}
        30:{1,3,4,6}:{(16,1),(19,1),(21,1),(48,1),(49,1),(50,1),(51,1),(94,1),(95,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,4,7}:{(18,1),(19,1),(48,1),(53,1),(55,1)}
        34:{1,2,5}:{(19,1),(49,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(48,1),(58,1),(60,1),(108,1),(144,1)}
        38:{2,3,5}:{(21,1),(25,1),(49,1),(57,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(64,1),(106,1)}
        41:{1,4,5}:{(25,1),(57,1),(64,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(58,1),(63,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(64,1),(65,1),(66,1),(112,1),(143,1),(163,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,6}:{(27,1),(65,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(66,1),(67,1),(104,1),(168,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,4,7}:{(30,1),(33,1),(37,1),(70,1),(72,1),(119,1),(124,1)}
        49:{1,3,5}:{(30,1),(34,1),(38,1),(69,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(34,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(70,1),(76,1)}
        54:{1,2,5,6}:{(34,1),(35,1),(71,1),(75,1),(76,1),(77,1),(151,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(38,1),(41,1),(69,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(42,1),(70,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(82,1),(83,1),(84,1),(123,1),(125,1),(130,1),(151,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(88,1),(129,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(81,1),(87,1),(88,1),(133,1)}
        64:{1,4,6}:{(41,1),(43,1),(82,1),(88,1)}
        65:{1,3,6}:{(42,1),(45,1),(83,1),(87,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(89,1),(133,1),(158,1),(171,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(49,1),(57,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(53,1),(58,1),(93,1),(95,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(54,1),(59,1),(90,1),(94,1),(95,1),(96,1),(100,1),(140,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(54,1),(94,1),(100,1),(101,1),(138,1)}
        76:{1,2,6}:{(53,1),(95,1)}
        77:{1,2,5,7}:{(54,1),(55,1),(96,1),(101,1),(102,1),(164,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1),(108,1),(149,1)}
        82:{2,4,6}:{(57,1),(59,1),(64,1),(94,1),(106,1),(108,1)}
        83:{2,3,6}:{(58,1),(65,1),(95,1),(107,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(104,1),(108,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        85:{1,4,5,6}:{(61,1),(64,1),(103,1),(110,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,6}:{(63,1),(65,1),(107,1),(112,1)}
        88:{1,4,7}:{(64,1),(66,1),(108,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(113,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,5,7}:{(69,1),(70,1),(81,1),(118,1),(119,1),(156,1)}
        94:{1,4,6}:{(69,1),(71,1),(82,1),(119,1)}
        95:{1,3,6}:{(70,1),(76,1),(83,1),(118,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(77,1),(84,1),(115,1),(119,1),(120,1),(124,1),(156,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(77,1),(119,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(82,1),(85,1),(114,1),(125,1),(126,1),(130,1),(151,1),(161,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(125,1),(129,1)}
       107:{2,4,6}:{(81,1),(83,1),(87,1),(118,1),(128,1),(130,1)}
       108:{2,4,7}:{(82,1),(84,1),(88,1),(119,1),(129,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(131,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(88,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,5,6}:{(87,1),(130,1),(133,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(89,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(94,1),(103,1),(134,1),(135,1),(140,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(94,1),(100,1),(106,1),(134,1),(138,1),(139,1)}
       118:{1,4,6}:{(93,1),(95,1),(107,1),(140,1)}
       119:{1,4,7}:{(94,1),(96,1),(108,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(141,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(106,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(108,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,6}:{(105,1),(107,1),(147,1)}
       129:{3,4,7}:{(106,1),(108,1),(145,1)}
       130:{2,5,6}:{(107,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(119,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(119,1),(124,1),(129,1),(152,1),(155,1)}
       140:{1,5,6}:{(118,1),(130,1),(156,1)}
       141:{1,4,6,7}:{(118,1),(119,1),(120,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(129,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,5,6}:{(128,1),(130,1),(161,1),(162,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(159,1),(162,1),(173,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(162,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{4,5,6}:{(147,1),(170,1)}
       162:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(162,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1524 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

1525 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(44,1),(69,1),(117,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(46,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(62,1),(65,1),(92,1),(137,1)}
        12:{1,2,5}:{(4,1),(23,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(24,1),(26,1),(138,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(25,1),(28,1),(29,1),(60,1),(62,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(32,1),(71,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(77,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(121,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(81,1),(84,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(36,1),(40,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(46,1),(88,1),(154,1)}
        25:{1,2,5,6}:{(12,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(42,1),(44,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(43,1),(46,1),(86,1),(88,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(50,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(51,1),(53,1),(56,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,5}:{(21,1),(23,1),(50,1),(57,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(51,1),(59,1),(61,1),(108,1),(140,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(23,1),(57,1),(62,1)}
        41:{1,3,5,6}:{(23,1),(25,1),(28,1),(58,1),(62,1),(64,1),(65,1),(114,1),(137,1),(164,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(26,1),(59,1),(63,1),(65,1)}
        43:{1,2,5,7}:{(25,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        44:{1,2,6}:{(26,1),(65,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(32,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,5}:{(31,1),(32,1),(36,1),(73,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(37,1),(75,1),(79,1),(121,1),(123,1)}
        52:{1,2,5,6}:{(32,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(36,1),(40,1),(73,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(41,1),(74,1),(81,1),(83,1),(84,1),(85,1),(119,1),(127,1),(132,1),(155,1)}
        59:{2,3,5,7}:{(36,1),(37,1),(42,1),(75,1),(82,1),(84,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(88,1)}
        63:{1,4,5,7}:{(40,1),(42,1),(82,1),(88,1),(89,1),(135,1)}
        64:{1,3,5,7}:{(41,1),(43,1),(46,1),(83,1),(88,1),(90,1),(135,1),(154,1),(171,1)}
        65:{1,3,6}:{(42,1),(44,1),(84,1),(89,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(88,1),(91,1),(128,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(52,1),(96,1),(97,1),(98,1),(139,1)}
        73:{1,4,5}:{(50,1),(57,1),(98,1)}
        74:{1,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(96,1),(98,1),(100,1),(101,1),(103,1),(145,1)}
        75:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(99,1),(101,1)}
        76:{1,2,5,7}:{(52,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        77:{1,2,6}:{(53,1),(101,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(63,1),(99,1),(106,1),(108,1),(109,1),(151,1)}
        83:{2,3,5,7}:{(58,1),(61,1),(64,1),(100,1),(108,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        84:{2,3,6}:{(59,1),(65,1),(101,1),(109,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(62,1),(67,1),(107,1),(112,1),(114,1),(164,1)}
        88:{1,4,7}:{(62,1),(64,1),(108,1)}
        89:{1,4,6}:{(63,1),(65,1),(109,1),(114,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(113,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(76,1),(121,1),(123,1),(156,1)}
        98:{1,4,6}:{(73,1),(74,1),(81,1),(123,1)}
        99:{1,4,5,7}:{(73,1),(75,1),(82,1),(123,1),(124,1),(159,1)}
       100:{1,3,5,7}:{(74,1),(76,1),(79,1),(83,1),(121,1),(123,1),(125,1),(126,1),(159,1)}
       101:{1,3,6}:{(75,1),(77,1),(84,1),(124,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,6}:{(80,1),(81,1),(127,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,5,6}:{(81,1),(85,1),(87,1),(122,1),(127,1),(130,1),(132,1),(155,1),(162,1)}
       108:{2,4,7}:{(81,1),(83,1),(88,1),(123,1),(128,1)}
       109:{2,4,6}:{(82,1),(84,1),(89,1),(124,1),(129,1),(132,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(131,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,4,6,7}:{(88,1),(89,1),(90,1),(131,1),(135,1)}
       114:{1,5,6}:{(89,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(98,1),(105,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(98,1),(103,1),(107,1),(141,1),(143,1),(145,1)}
       123:{1,4,7}:{(98,1),(100,1),(108,1)}
       124:{1,4,6}:{(99,1),(101,1),(109,1),(145,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(144,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(105,1),(107,1),(147,1)}
       128:{3,4,7}:{(105,1),(108,1),(147,1)}
       129:{3,4,6}:{(106,1),(109,1),(149,1)}
       130:{2,4,5,7}:{(107,1),(108,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,5,6}:{(109,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(123,1),(128,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,4,6,7}:{(123,1),(124,1),(125,1),(131,1),(159,1)}
       145:{1,5,6}:{(124,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(128,1),(130,1),(160,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(160,1),(161,1),(173,1)}
       149:{3,5,6}:{(129,1),(132,1),(161,1),(162,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(161,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1526 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1527 :   0:{1,2,3,6,7}:{(1,1),(2,1),(41,1),(90,1),(149,1),(237,1),(327,1),(446,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(24,1),(111,1),(119,1),(188,1),(289,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(125,1),(377,1),(403,1),(411,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(75,1),(98,1),(141,1),(171,1),(256,1),(497,1)}
         4:{1,3,4,6,7}:{(1,1),(10,1),(11,1),(15,1),(37,1),(41,1),(79,1),(144,1),(226,1),(327,1),(331,1),(424,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(12,1),(159,1),(339,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(14,1),(41,1),(43,1),(92,1),(237,1),(330,1),(339,1),(358,1),(367,1),(370,1)}
         7:{1,2,4,7}:{(2,1),(14,1),(15,1),(165,1),(424,1)}
         8:{1,2,4,6,7}:{(3,1),(16,1),(17,1),(19,1),(49,1),(69,1),(129,1),(178,1),(219,1)}
         9:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(50,1),(184,1),(306,1),(465,1),(473,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(28,1),(53,1),(55,1),(64,1),(106,1),(113,1),(119,1),(178,1),(297,1),(300,1),(396,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(275,1),(382,1)}
        12:{1,2,5,6}:{(5,1),(21,1),(24,1),(121,1),(188,1)}
        13:{1,2,4,5,7}:{(5,1),(7,1),(22,1),(24,1),(25,1),(26,1),(60,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(26,1),(27,1),(127,1),(381,1),(418,1)}
        15:{1,3,4,7}:{(7,1),(25,1),(27,1),(28,1),(411,1)}
        16:{1,3,4,6,7}:{(8,1),(10,1),(29,1),(33,1),(45,1),(71,1),(75,1),(93,1),(160,1),(256,1),(260,1),(356,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(30,1),(225,1),(268,1)}
        18:{1,2,3,5,6}:{(9,1),(30,1),(32,1),(75,1),(77,1),(143,1),(171,1),(259,1),(268,1),(426,1),(435,1),(438,1)}
        19:{1,2,4,7}:{(9,1),(32,1),(33,1),(231,1),(356,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(151,1),(159,1),(225,1),(350,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(34,1),(37,1),(41,1),(144,1),(228,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(37,1),(424,1),(429,1)}
        23:{1,2,5,6,7}:{(12,1),(36,1),(39,1),(159,1),(233,1),(252,1),(326,1),(344,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(87,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(41,1),(42,1),(43,1)}
        26:{1,2,4,5}:{(14,1),(43,1),(95,1),(339,1),(429,1)}
        27:{1,3,4,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(367,1),(371,1)}
        28:{2,3,4,7}:{(15,1),(42,1),(44,1),(45,1),(165,1),(363,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(46,1),(47,1),(205,1),(311,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(49,1),(129,1),(180,1)}
        31:{1,2,4,5,7}:{(17,1),(19,1),(47,1),(49,1),(50,1),(51,1),(102,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(51,1),(52,1),(186,1),(310,1),(480,1)}
        33:{1,3,4,7}:{(19,1),(50,1),(52,1),(53,1),(473,1)}
        34:{2,3,5,6}:{(20,1),(21,1),(46,1),(55,1),(64,1),(106,1),(114,1),(121,1),(180,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(396,1),(399,1)}
        36:{1,3,5,6,7}:{(21,1),(23,1),(54,1),(57,1),(62,1),(118,1),(185,1),(275,1),(377,1)}
        37:{1,4,6}:{(21,1),(22,1),(55,1)}
        38:{1,3,4,5,7}:{(22,1),(25,1),(56,1),(59,1),(60,1),(66,1),(118,1),(124,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(61,1),(62,1),(119,1),(302,1),(393,1),(400,1)}
        40:{1,2,4,5,6}:{(24,1),(26,1),(58,1),(61,1),(63,1),(121,1),(127,1),(208,1),(279,1),(298,1),(308,1),(316,1),(381,1)}
        41:{1,3,6}:{(24,1),(25,1),(64,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(60,1),(64,1),(65,1),(67,1)}
        43:{1,3,5}:{(26,1),(27,1),(67,1)}
        44:{2,3,4,6}:{(27,1),(28,1),(64,1),(67,1),(68,1),(127,1),(317,1),(321,1)}
        45:{1,3,4,7}:{(28,1),(65,1),(68,1),(69,1),(213,1),(313,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(34,1),(71,1),(75,1),(93,1),(162,1)}
        47:{1,4,5,7}:{(29,1),(35,1),(71,1),(356,1),(361,1)}
        48:{1,2,5,6,7}:{(30,1),(70,1),(73,1),(167,1),(225,1),(255,1),(323,1),(344,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(71,1),(75,1),(138,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(75,1),(76,1),(77,1)}
        51:{1,2,4,5}:{(32,1),(77,1),(146,1),(268,1),(361,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(75,1),(77,1),(78,1),(435,1),(439,1)}
        53:{2,3,4,7}:{(33,1),(76,1),(78,1),(79,1),(231,1),(431,1)}
        54:{2,3,5,6,7}:{(34,1),(36,1),(70,1),(80,1),(90,1),(141,1),(151,1),(159,1),(225,1),(344,1),(346,1),(440,1)}
        55:{2,4,6}:{(34,1),(35,1),(37,1),(71,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(151,1),(442,1),(445,1)}
        57:{1,4,6,7}:{(36,1),(37,1),(80,1),(84,1),(424,1)}
        58:{1,4,5,6}:{(37,1),(81,1),(84,1),(86,1),(228,1)}
        59:{1,3,4,6}:{(37,1),(38,1),(41,1),(82,1),(86,1),(87,1)}
        60:{2,4,5,7}:{(38,1),(42,1),(87,1),(88,1),(95,1),(159,1),(165,1)}
        61:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(89,1),(159,1),(165,1),(254,1),(326,1),(345,1),(354,1),(362,1),(424,1)}
        62:{1,3,6,7}:{(39,1),(41,1),(89,1),(90,1),(440,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(91,1),(92,1),(348,1),(367,1)}
        64:{2,3,6}:{(41,1),(42,1),(87,1),(93,1)}
        65:{1,3,5,7}:{(42,1),(45,1),(88,1),(93,1),(94,1),(96,1)}
        66:{1,3,4,5}:{(43,1),(91,1),(95,1),(429,1),(445,1)}
        67:{2,3,5}:{(43,1),(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(93,1),(96,1),(97,1),(169,1),(266,1),(271,1)}
        69:{1,2,4,7}:{(45,1),(94,1),(97,1),(98,1)}
        70:{1,3,5,6,7}:{(46,1),(48,1),(54,1),(99,1),(104,1),(126,1),(177,1),(205,1),(306,1)}
        71:{1,4,6}:{(46,1),(47,1),(55,1)}
        72:{1,3,4,5,7}:{(47,1),(50,1),(56,1),(101,1),(102,1),(108,1),(177,1),(183,1)}
        73:{1,2,4,6,7}:{(48,1),(49,1),(99,1),(103,1),(104,1),(178,1),(373,1),(393,1),(462,1)}
        74:{1,2,4,5,6}:{(49,1),(51,1),(100,1),(103,1),(105,1),(180,1),(186,1),(209,1),(278,1),(298,1),(310,1),(379,1),(387,1)}
        75:{1,3,6}:{(49,1),(50,1),(106,1)}
        76:{2,3,5,7}:{(50,1),(53,1),(102,1),(106,1),(107,1),(109,1)}
        77:{1,3,5}:{(51,1),(52,1),(109,1)}
        78:{2,3,4,6}:{(52,1),(53,1),(106,1),(109,1),(110,1),(186,1),(388,1),(392,1)}
        79:{1,3,4,7}:{(53,1),(107,1),(110,1),(111,1),(283,1),(384,1)}
        80:{2,4,6,7}:{(54,1),(55,1),(57,1),(99,1),(112,1),(113,1),(396,1)}
        81:{2,4,5,6}:{(55,1),(58,1),(100,1),(112,1),(114,1),(121,1),(180,1)}
        82:{3,4,6}:{(55,1),(56,1),(114,1)}
        83:{2,3,4,5,7}:{(56,1),(60,1),(102,1),(115,1),(116,1),(131,1),(190,1),(196,1),(201,1),(212,1),(282,1),(396,1),(399,1),(483,1),(490,1),(528,1)}
        84:{1,4,5,7}:{(57,1),(58,1),(112,1),(118,1),(275,1)}
        85:{1,3,4,6,7}:{(57,1),(59,1),(62,1),(113,1),(118,1),(119,1),(124,1)}
        86:{1,3,5,6}:{(58,1),(59,1),(114,1),(118,1),(121,1)}
        87:{2,4,6}:{(59,1),(60,1),(64,1),(121,1),(122,1)}
        88:{1,4,5,7}:{(60,1),(65,1),(122,1),(132,1),(205,1),(213,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(63,1),(124,1),(125,1),(395,1),(411,1)}
        90:{2,3,6,7}:{(62,1),(64,1),(119,1),(125,1),(126,1),(400,1)}
        91:{1,3,4,6}:{(63,1),(66,1),(124,1),(127,1),(381,1),(398,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(67,1),(121,1),(125,1),(127,1),(128,1),(308,1),(317,1)}
        93:{1,3,6}:{(64,1),(65,1),(122,1),(129,1)}
        94:{1,2,5,7}:{(65,1),(69,1),(129,1),(133,1)}
        95:{2,4,5}:{(66,1),(67,1),(127,1),(132,1)}
        96:{1,3,5}:{(67,1),(68,1),(132,1),(133,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(129,1),(133,1),(134,1),(222,1)}
        98:{1,2,3,7}:{(69,1),(134,1),(313,1)}
        99:{1,4,6,7}:{(70,1),(71,1),(80,1),(135,1),(356,1)}
       100:{1,4,5,6}:{(71,1),(81,1),(135,1),(137,1),(162,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(75,1),(82,1),(137,1),(138,1)}
       102:{2,4,5,7}:{(72,1),(76,1),(138,1),(139,1),(146,1),(225,1),(231,1)}
       103:{1,2,4,5,7}:{(73,1),(74,1),(135,1),(140,1),(225,1),(231,1),(255,1),(325,1),(345,1),(356,1),(422,1),(430,1)}
       104:{1,3,6,7}:{(73,1),(75,1),(140,1),(141,1),(440,1)}
       105:{1,3,5,6}:{(74,1),(75,1),(77,1),(140,1),(142,1),(143,1),(348,1),(435,1)}
       106:{2,3,6}:{(75,1),(76,1),(138,1),(144,1)}
       107:{1,3,5,7}:{(76,1),(79,1),(139,1),(144,1),(145,1),(147,1)}
       108:{1,3,4,5}:{(77,1),(142,1),(146,1),(361,1),(445,1)}
       109:{2,3,5}:{(77,1),(78,1),(146,1),(147,1)}
       110:{1,3,4,6}:{(78,1),(79,1),(144,1),(147,1),(148,1),(235,1),(337,1),(342,1)}
       111:{1,2,4,7}:{(79,1),(145,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(84,1),(135,1),(151,1),(159,1),(225,1)}
       113:{3,4,6,7}:{(80,1),(82,1),(151,1),(440,1),(442,1)}
       114:{3,5,6}:{(81,1),(82,1),(151,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(87,1),(138,1),(154,1),(155,1),(249,1),(349,1),(515,1),(520,1),(544,1)}
       116:{1,3,4,5,7}:{(83,1),(88,1),(139,1),(155,1),(156,1),(164,1),(173,1),(230,1),(239,1),(245,1),(261,1),(332,1),(356,1),(361,1),(424,1),(429,1),(442,1),(445,1),(519,1),(543,1)}
       117:{1,4,5,6,7}:{(84,1),(150,1),(157,1),(323,1),(343,1),(449,1)}
       118:{1,3,5,7}:{(84,1),(85,1),(86,1),(151,1),(159,1)}
       119:{2,4,6,7}:{(85,1),(87,1),(90,1),(159,1),(160,1),(165,1)}
       120:{1,3,4,5,6}:{(86,1),(91,1),(153,1),(158,1),(161,1),(247,1),(257,1),(348,1),(360,1),(518,1)}
       121:{2,5,6}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,4,6}:{(87,1),(88,1),(93,1),(162,1)}
       123:{1,2,4,5,7}:{(88,1),(94,1),(156,1),(163,1),(164,1),(172,1),(174,1),(255,1),(262,1),(268,1),(340,1),(356,1),(361,1),(430,1),(543,1),(545,1)}
       124:{1,3,4,7}:{(89,1),(91,1),(165,1),(424,1),(442,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(92,1),(159,1),(165,1),(166,1),(354,1),(363,1)}
       126:{1,3,6,7}:{(90,1),(93,1),(160,1),(166,1),(167,1)}
       127:{2,4,6}:{(91,1),(92,1),(95,1),(165,1),(169,1)}
       128:{1,3,5,6}:{(92,1),(93,1),(96,1),(162,1),(166,1),(169,1),(170,1),(266,1)}
       129:{1,2,6}:{(93,1),(94,1)}
       130:{1,2,3,5,7}:{(94,1),(98,1),(164,1),(171,1),(172,1),(175,1),(268,1),(438,1),(507,1),(545,1)}
       131:{2,3,4,5}:{(95,1),(168,1),(173,1),(270,1),(445,1),(455,1)}
       132:{1,4,5}:{(95,1),(96,1),(169,1)}
       133:{1,2,5}:{(96,1),(97,1)}
       134:{1,2,3,6}:{(97,1),(98,1),(175,1),(266,1)}
       135:{1,4,5,7}:{(99,1),(100,1),(112,1),(177,1),(205,1)}
       136:{1,3,4,6,7}:{(99,1),(101,1),(104,1),(113,1),(177,1),(178,1),(183,1)}
       137:{1,3,5,6}:{(100,1),(101,1),(114,1),(177,1),(180,1)}
       138:{2,4,6}:{(101,1),(102,1),(106,1),(180,1),(181,1)}
       139:{1,4,5,7}:{(102,1),(107,1),(181,1),(191,1),(275,1),(283,1)}
       140:{1,3,5,7}:{(103,1),(104,1),(105,1),(183,1),(184,1),(395,1),(473,1)}
       141:{2,3,6,7}:{(104,1),(106,1),(178,1),(184,1),(185,1),(462,1)}
       142:{1,3,4,6}:{(105,1),(108,1),(183,1),(186,1),(310,1),(398,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(109,1),(180,1),(184,1),(186,1),(187,1),(379,1),(388,1)}
       144:{1,3,6}:{(106,1),(107,1),(181,1),(188,1)}
       145:{1,2,5,7}:{(107,1),(111,1),(188,1),(192,1)}
       146:{2,4,5}:{(108,1),(109,1),(186,1),(191,1)}
       147:{1,3,5}:{(109,1),(110,1),(191,1),(192,1)}
       148:{1,2,4,6}:{(110,1),(111,1),(188,1),(192,1),(193,1),(292,1)}
       149:{1,2,3,7}:{(111,1),(193,1),(384,1)}
       150:{2,4,5,6,7}:{(112,1),(117,1),(176,1),(194,1),(203,1),(273,1),(293,1),(393,1),(482,1)}
       151:{3,5,7}:{(112,1),(113,1),(114,1)}
       152:{2,3,4,6,7}:{(113,1),(115,1),(119,1),(178,1),(196,1),(197,1),(212,1),(282,1),(293,1),(297,1),(301,1),(372,1),(396,1),(481,1),(486,1),(524,1)}
       153:{3,4,5,6}:{(114,1),(195,1),(198,1),(398,1),(535,1)}
       154:{2,3,5,6}:{(114,1),(115,1),(121,1),(180,1),(196,1),(198,1),(199,1),(535,1),(537,1),(549,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(122,1),(181,1),(199,1),(200,1),(210,1),(280,1),(310,1),(381,1),(398,1),(538,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(220,1),(290,1),(296,1),(312,1),(383,1),(396,1),(399,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(194,1),(202,1),(203,1),(487,1)}
       158:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(195,1),(202,1),(204,1),(295,1),(304,1),(395,1),(405,1),(487,1)}
       159:{2,5,7}:{(118,1),(119,1),(121,1),(205,1)}
       160:{1,4,6,7}:{(119,1),(122,1),(126,1),(205,1),(213,1)}
       161:{2,4,5,6}:{(120,1),(121,1),(127,1),(204,1),(207,1),(208,1),(308,1),(409,1),(537,1)}
       162:{1,5,6}:{(121,1),(122,1),(205,1)}
       163:{1,2,4,6}:{(122,1),(123,1),(129,1),(200,1),(209,1),(210,1),(310,1),(550,1),(551,1)}
       164:{1,3,5,7}:{(123,1),(201,1),(210,1),(211,1),(221,1),(311,1),(313,1),(391,1),(473,1)}
       165:{2,4,7}:{(124,1),(125,1),(127,1),(213,1)}
       166:{1,3,5,7}:{(125,1),(126,1),(128,1),(205,1),(213,1),(214,1),(313,1)}
       167:{1,2,6,7}:{(126,1),(129,1),(214,1),(400,1)}
       168:{2,3,4,6}:{(127,1),(131,1),(207,1),(212,1),(216,1),(317,1),(398,1),(409,1)}
       169:{1,4,6}:{(127,1),(128,1),(132,1),(213,1)}
       170:{1,2,5,6}:{(128,1),(129,1),(133,1),(214,1),(217,1),(308,1)}
       171:{1,2,3,6}:{(129,1),(130,1),(210,1),(219,1),(551,1)}
       172:{1,2,4,7}:{(130,1),(211,1),(219,1),(222,1),(480,1)}
       173:{1,3,4,5}:{(131,1),(132,1),(216,1),(220,1),(221,1),(320,1),(492,1)}
       174:{1,2,4,5}:{(132,1),(133,1),(217,1),(220,1),(221,1),(222,1)}
       175:{1,2,3,5}:{(133,1),(134,1),(221,1),(222,1)}
       176:{1,4,5,6,7}:{(135,1),(150,1),(223,1),(252,1),(343,1),(500,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(137,1),(151,1),(225,1)}
       178:{2,4,6,7}:{(136,1),(138,1),(141,1),(225,1),(226,1),(231,1)}
       179:{1,3,4,5,6}:{(137,1),(142,1),(153,1),(224,1),(227,1),(247,1),(328,1),(348,1),(428,1),(542,1)}
       180:{2,5,6}:{(137,1),(138,1),(225,1),(228,1)}
       181:{1,4,6}:{(138,1),(139,1),(144,1),(228,1)}
       182:{1,2,4,5,7}:{(139,1),(145,1),(156,1),(229,1),(230,1),(238,1),(240,1),(269,1),(326,1),(333,1),(339,1),(362,1),(424,1),(429,1),(519,1),(521,1)}
       183:{1,3,4,7}:{(140,1),(142,1),(231,1),(356,1),(442,1)}
       184:{2,3,5,7}:{(140,1),(141,1),(143,1),(225,1),(231,1),(232,1),(422,1),(431,1)}
       185:{1,3,6,7}:{(141,1),(144,1),(226,1),(232,1),(233,1)}
       186:{2,4,6}:{(142,1),(143,1),(146,1),(231,1),(235,1)}
       187:{1,3,5,6}:{(143,1),(144,1),(147,1),(228,1),(232,1),(235,1),(236,1),(337,1)}
       188:{1,2,6}:{(144,1),(145,1)}
       189:{1,2,3,5,7}:{(145,1),(149,1),(230,1),(237,1),(238,1),(241,1),(339,1),(370,1),(456,1),(521,1)}
       190:{2,3,4,5}:{(146,1),(234,1),(239,1),(341,1),(445,1),(506,1)}
       191:{1,4,5}:{(146,1),(147,1),(235,1)}
       192:{1,2,5}:{(147,1),(148,1)}
       193:{1,2,3,6}:{(148,1),(149,1),(241,1),(337,1)}
       194:{3,5,6,7}:{(150,1),(151,1),(242,1),(440,1),(513,1)}
       195:{3,4,5,7}:{(151,1),(153,1),(242,1),(244,1),(442,1),(513,1)}
       196:{2,3,5,7}:{(151,1),(152,1),(154,1),(159,1),(225,1),(244,1),(245,1),(513,1),(517,1),(541,1)}
       197:{1,3,4,6,7}:{(152,1),(155,1),(160,1),(226,1),(245,1),(246,1),(256,1),(261,1),(327,1),(332,1),(343,1),(351,1),(356,1),(419,1),(424,1),(440,1),(442,1),(516,1),(540,1)}
       198:{2,4,5,6}:{(153,1),(154,1),(244,1),(247,1),(349,1)}
       199:{1,3,5,6}:{(154,1),(155,1),(162,1),(228,1),(245,1),(247,1),(248,1),(348,1),(547,1),(552,1)}
       200:{2,4,6}:{(155,1),(156,1),(248,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(164,1),(230,1),(249,1),(250,1),(270,1),(341,1),(350,1),(363,1),(431,1)}
       202:{1,3,4,6,7}:{(157,1),(158,1),(242,1),(251,1),(343,1),(351,1),(440,1)}
       203:{2,5,6,7}:{(157,1),(159,1),(251,1),(252,1),(517,1)}
       204:{2,4,5,7}:{(158,1),(159,1),(161,1),(165,1),(251,1),(253,1),(254,1),(354,1),(451,1),(517,1)}
       205:{1,5,7}:{(159,1),(160,1),(162,1)}
       206:{1,2,4,6,7}:{(160,1),(163,1),(167,1),(246,1),(255,1),(256,1),(262,1),(356,1),(430,1),(497,1),(540,1)}
       207:{2,3,5,6}:{(161,1),(168,1),(253,1),(257,1),(348,1)}
       208:{1,4,5,6}:{(161,1),(162,1),(169,1),(254,1),(257,1),(454,1),(547,1)}
       209:{1,2,5,6}:{(162,1),(163,1),(248,1),(255,1),(259,1),(268,1),(552,1)}
       210:{1,3,6}:{(163,1),(164,1),(249,1)}
       211:{1,3,4,7}:{(164,1),(172,1),(250,1),(260,1),(271,1),(356,1),(439,1)}
       212:{2,3,4,7}:{(165,1),(168,1),(253,1),(261,1),(363,1),(442,1),(451,1)}
       213:{1,4,7}:{(165,1),(166,1),(169,1)}
       214:{1,2,5,7}:{(166,1),(167,1),(170,1),(262,1),(354,1)}
       215:{1,2,3,6,7}:{(167,1),(171,1),(256,1),(263,1),(264,1),(447,1),(459,1),(507,1)}
       216:{1,3,4,6}:{(168,1),(169,1),(173,1),(257,1),(261,1),(265,1),(266,1),(367,1),(454,1)}
       217:{1,2,4,6}:{(169,1),(170,1),(174,1),(262,1),(265,1),(266,1)}
       218:{1,2,3,5,6}:{(170,1),(171,1),(175,1),(259,1),(263,1),(266,1),(267,1),(268,1),(359,1),(366,1),(369,1),(459,1)}
       219:{1,2,4,6}:{(171,1),(172,1),(260,1),(268,1)}
       220:{2,4,5}:{(173,1),(265,1),(270,1)}
       221:{1,3,5}:{(174,1),(266,1),(270,1),(271,1)}
       222:{1,2,4}:{(175,1),(271,1)}
       223:{1,3,5,6,7}:{(176,1),(177,1),(194,1),(272,1),(273,1),(525,1)}
       224:{1,3,4,5,7}:{(177,1),(179,1),(183,1),(195,1),(272,1),(274,1),(295,1),(375,1),(395,1),(467,1),(525,1)}
       225:{2,5,7}:{(177,1),(178,1),(180,1),(275,1)}
       226:{1,4,6,7}:{(178,1),(181,1),(185,1),(275,1),(283,1)}
       227:{2,4,5,6}:{(179,1),(180,1),(186,1),(274,1),(277,1),(278,1),(379,1),(471,1),(549,1)}
       228:{1,5,6}:{(180,1),(181,1),(275,1)}
       229:{1,2,4,6}:{(181,1),(182,1),(188,1),(200,1),(279,1),(280,1),(381,1),(538,1),(539,1)}
       230:{1,3,5,7}:{(182,1),(201,1),(280,1),(281,1),(291,1),(320,1),(382,1),(384,1),(411,1)}
       231:{2,4,7}:{(183,1),(184,1),(186,1),(283,1)}
       232:{1,3,5,7}:{(184,1),(185,1),(187,1),(275,1),(283,1),(284,1),(384,1)}
       233:{1,2,6,7}:{(185,1),(188,1),(284,1),(462,1)}
       234:{2,3,4,6}:{(186,1),(190,1),(277,1),(282,1),(286,1),(388,1),(398,1),(471,1)}
       235:{1,4,6}:{(186,1),(187,1),(191,1),(283,1)}
       236:{1,2,5,6}:{(187,1),(188,1),(192,1),(284,1),(287,1),(379,1)}
       237:{1,2,3,6}:{(188,1),(189,1),(280,1),(289,1),(539,1)}
       238:{1,2,4,7}:{(189,1),(281,1),(289,1),(292,1),(418,1)}
       239:{1,3,4,5}:{(190,1),(191,1),(286,1),(290,1),(291,1),(391,1),(530,1)}
       240:{1,2,4,5}:{(191,1),(192,1),(287,1),(290,1),(291,1),(292,1)}
       241:{1,2,3,5}:{(192,1),(193,1),(291,1),(292,1)}
       242:{3,4,6,7}:{(194,1),(195,1),(293,1)}
       243:{2,3,5,6,7}:{(194,1),(196,1),(203,1),(273,1),(293,1),(294,1),(301,1),(372,1)}
       244:{2,4,5,7}:{(195,1),(196,1),(198,1),(293,1),(295,1),(396,1)}
       245:{1,3,5,7}:{(196,1),(197,1),(199,1),(205,1),(275,1),(295,1),(296,1),(395,1),(536,1),(548,1)}
       246:{2,4,6,7}:{(197,1),(200,1),(296,1),(297,1),(312,1),(383,1),(396,1),(400,1),(462,1)}
       247:{1,4,5,6}:{(198,1),(199,1),(295,1),(298,1),(310,1),(381,1)}
       248:{2,5,6}:{(199,1),(200,1),(296,1)}
       249:{2,3,6}:{(200,1),(201,1),(210,1),(280,1)}
       250:{2,3,4,7}:{(201,1),(211,1),(281,1),(300,1),(321,1),(392,1),(396,1)}
       251:{2,4,6,7}:{(202,1),(203,1),(204,1),(301,1),(302,1),(400,1)}
       252:{1,5,6,7}:{(203,1),(205,1),(302,1),(536,1)}
       253:{2,3,5,7}:{(204,1),(207,1),(212,1),(301,1),(304,1),(395,1)}
       254:{1,4,5,7}:{(204,1),(205,1),(208,1),(213,1),(302,1),(304,1),(489,1),(536,1)}
       255:{1,2,5,7}:{(205,1),(206,1),(209,1),(296,1),(306,1),(548,1)}
       256:{1,3,6,7}:{(206,1),(210,1),(297,1),(306,1),(313,1),(473,1)}
       257:{1,3,5,6}:{(207,1),(208,1),(216,1),(304,1),(308,1)}
       258:{1,2,4,5,6}:{(208,1),(209,1),(217,1),(298,1),(305,1),(308,1),(309,1),(310,1),(319,1),(409,1),(414,1),(488,1),(537,1)}
       259:{1,3,5,6}:{(209,1),(210,1),(299,1),(306,1),(310,1),(311,1)}
       260:{1,3,4,6}:{(210,1),(211,1),(219,1),(300,1),(310,1),(311,1)}
       261:{1,3,4,7}:{(212,1),(213,1),(216,1),(304,1),(312,1),(313,1),(411,1),(489,1)}
       262:{1,2,4,7}:{(213,1),(214,1),(217,1),(312,1),(313,1)}
       263:{1,2,3,5,7}:{(214,1),(215,1),(218,1),(306,1),(313,1),(314,1),(315,1),(404,1),(413,1)}
       264:{1,2,4,6,7}:{(215,1),(219,1),(307,1),(314,1),(315,1),(414,1),(486,1),(531,1),(551,1)}
       265:{2,4,6}:{(216,1),(220,1),(308,1),(312,1),(317,1)}
       266:{1,3,6}:{(217,1),(221,1),(313,1),(317,1)}
       267:{1,2,4,6}:{(218,1),(222,1),(310,1),(314,1),(318,1),(319,1),(409,1)}
       268:{1,2,5}:{(219,1),(311,1)}
       269:{1,2,4,5}:{(220,1),(316,1),(320,1),(418,1),(492,1),(496,1)}
       270:{2,3,5}:{(220,1),(221,1),(317,1),(320,1),(321,1)}
       271:{1,3,4}:{(221,1),(222,1),(321,1)}
       272:{1,3,4,6,7}:{(223,1),(224,1),(242,1),(322,1),(343,1),(419,1),(440,1)}
       273:{2,5,6,7}:{(223,1),(225,1),(322,1),(323,1),(541,1)}
       274:{2,4,5,7}:{(224,1),(225,1),(227,1),(231,1),(322,1),(324,1),(325,1),(422,1),(502,1),(541,1)}
       275:{1,5,7}:{(225,1),(226,1),(228,1)}
       276:{1,2,4,6,7}:{(226,1),(229,1),(233,1),(246,1),(326,1),(327,1),(333,1),(362,1),(424,1),(446,1),(516,1)}
       277:{2,3,5,6}:{(227,1),(234,1),(324,1),(328,1),(348,1)}
       278:{1,4,5,6}:{(227,1),(228,1),(235,1),(325,1),(328,1),(505,1),(552,1)}
       279:{1,2,5,6}:{(228,1),(229,1),(248,1),(326,1),(330,1),(339,1),(547,1)}
       280:{1,3,6}:{(229,1),(230,1),(249,1)}
       281:{1,3,4,7}:{(230,1),(238,1),(250,1),(331,1),(342,1),(371,1),(424,1)}
       282:{2,3,4,7}:{(231,1),(234,1),(324,1),(332,1),(431,1),(442,1),(502,1)}
       283:{1,4,7}:{(231,1),(232,1),(235,1)}
       284:{1,2,5,7}:{(232,1),(233,1),(236,1),(333,1),(422,1)}
       285:{1,2,3,6,7}:{(233,1),(237,1),(327,1),(334,1),(335,1),(456,1),(498,1),(510,1)}
       286:{1,3,4,6}:{(234,1),(235,1),(239,1),(328,1),(332,1),(336,1),(337,1),(435,1),(505,1)}
       287:{1,2,4,6}:{(235,1),(236,1),(240,1),(333,1),(336,1),(337,1)}
       288:{1,2,3,5,6}:{(236,1),(237,1),(241,1),(330,1),(334,1),(337,1),(338,1),(339,1),(427,1),(434,1),(437,1),(510,1)}
       289:{1,2,4,6}:{(237,1),(238,1),(331,1),(339,1)}
       290:{2,4,5}:{(239,1),(336,1),(341,1)}
       291:{1,3,5}:{(240,1),(337,1),(341,1),(342,1)}
       292:{1,2,4}:{(241,1),(342,1)}
       293:{2,4,6,7}:{(242,1),(243,1),(244,1),(343,1)}
       294:{1,3,5,6,7}:{(243,1),(245,1),(252,1),(323,1),(343,1),(344,1),(351,1),(419,1),(440,1)}
       295:{1,4,5,7}:{(244,1),(245,1),(247,1),(343,1),(345,1),(356,1),(424,1)}
       296:{2,5,7}:{(245,1),(246,1),(248,1)}
       297:{2,3,6,7}:{(246,1),(249,1),(256,1),(327,1),(346,1),(363,1),(431,1),(440,1)}
       298:{2,4,5,6}:{(247,1),(248,1),(345,1),(348,1),(349,1)}
       299:{2,3,5,6}:{(248,1),(249,1),(259,1),(330,1),(346,1),(348,1),(349,1),(350,1)}
       300:{2,3,4,6}:{(249,1),(250,1),(260,1),(331,1),(349,1),(350,1)}
       301:{2,3,6,7}:{(251,1),(253,1),(351,1),(440,1)}
       302:{1,4,6,7}:{(251,1),(252,1),(254,1),(351,1)}
       303:{1,2,5,6,7}:{(252,1),(255,1),(344,1),(352,1),(353,1),(366,1),(497,1),(517,1)}
       304:{1,3,5,7}:{(253,1),(254,1),(257,1),(261,1),(351,1),(354,1)}
       305:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(262,1),(345,1),(352,1),(354,1),(355,1),(356,1),(449,1),(451,1),(517,1)}
       306:{1,3,5,7}:{(255,1),(256,1),(259,1),(346,1),(356,1)}
       307:{1,3,4,6,7}:{(256,1),(260,1),(264,1),(347,1),(356,1),(357,1),(364,1),(453,1),(459,1),(508,1),(540,1),(546,1)}
       308:{2,5,6}:{(257,1),(265,1),(354,1)}
       309:{1,3,5,6}:{(258,1),(266,1),(348,1),(355,1),(359,1),(360,1),(369,1),(459,1)}
       310:{1,4,6}:{(259,1),(349,1),(356,1),(361,1)}
       311:{1,3,5}:{(260,1),(268,1),(350,1),(361,1)}
       312:{2,4,7}:{(261,1),(265,1),(354,1),(363,1)}
       313:{1,3,7}:{(262,1),(266,1),(363,1)}
       314:{1,2,4,7}:{(263,1),(267,1),(356,1),(364,1),(451,1)}
       315:{1,2,5,7}:{(264,1),(268,1),(357,1),(366,1),(517,1)}
       316:{1,2,4,6}:{(265,1),(269,1),(358,1),(362,1),(367,1),(454,1)}
       317:{2,3,6}:{(265,1),(266,1),(270,1),(363,1),(367,1)}
       318:{1,3,4,6}:{(266,1),(267,1),(271,1),(364,1),(368,1),(369,1),(459,1)}
       319:{1,2,4,5}:{(267,1),(268,1),(361,1),(369,1),(455,1)}
       320:{1,3,5}:{(269,1),(270,1),(367,1),(371,1)}
       321:{2,3,4}:{(270,1),(271,1),(371,1)}
       322:{2,4,6,7}:{(272,1),(273,1),(274,1),(372,1),(373,1),(462,1)}
       323:{1,5,6,7}:{(273,1),(275,1),(373,1),(548,1)}
       324:{2,3,5,7}:{(274,1),(277,1),(282,1),(372,1),(375,1),(395,1)}
       325:{1,4,5,7}:{(274,1),(275,1),(278,1),(283,1),(373,1),(375,1),(527,1),(548,1)}
       326:{1,2,5,7}:{(275,1),(276,1),(279,1),(296,1),(377,1),(536,1)}
       327:{1,3,6,7}:{(276,1),(280,1),(297,1),(377,1),(384,1),(411,1)}
       328:{1,3,5,6}:{(277,1),(278,1),(286,1),(375,1),(379,1)}
       329:{1,2,4,5,6}:{(278,1),(279,1),(287,1),(298,1),(376,1),(379,1),(380,1),(381,1),(390,1),(471,1),(476,1),(526,1),(549,1)}
       330:{1,3,5,6}:{(279,1),(280,1),(299,1),(377,1),(381,1),(382,1)}
       331:{1,3,4,6}:{(280,1),(281,1),(289,1),(300,1),(381,1),(382,1)}
       332:{1,3,4,7}:{(282,1),(283,1),(286,1),(375,1),(383,1),(384,1),(473,1),(527,1)}
       333:{1,2,4,7}:{(283,1),(284,1),(287,1),(383,1),(384,1)}
       334:{1,2,3,5,7}:{(284,1),(285,1),(288,1),(377,1),(384,1),(385,1),(386,1),(466,1),(475,1)}
       335:{1,2,4,6,7}:{(285,1),(289,1),(378,1),(385,1),(386,1),(476,1),(493,1),(524,1),(539,1)}
       336:{2,4,6}:{(286,1),(290,1),(379,1),(383,1),(388,1)}
       337:{1,3,6}:{(287,1),(291,1),(384,1),(388,1)}
       338:{1,2,4,6}:{(288,1),(292,1),(381,1),(385,1),(389,1),(390,1),(471,1)}
       339:{1,2,5}:{(289,1),(382,1)}
       340:{1,2,4,5}:{(290,1),(387,1),(391,1),(480,1),(530,1),(534,1)}
       341:{2,3,5}:{(290,1),(291,1),(388,1),(391,1),(392,1)}
       342:{1,3,4}:{(291,1),(292,1),(392,1)}
       343:{1,4,6,7}:{(293,1),(294,1),(295,1),(393,1)}
       344:{2,5,6,7}:{(294,1),(296,1),(393,1),(400,1),(462,1)}
       345:{2,4,5,7}:{(295,1),(296,1),(298,1),(393,1),(395,1),(396,1)}
       346:{2,3,5,7}:{(296,1),(297,1),(299,1),(306,1),(377,1),(395,1),(396,1)}
       347:{2,3,4,6,7}:{(297,1),(300,1),(307,1),(378,1),(396,1),(397,1),(412,1),(474,1),(481,1),(484,1),(486,1),(495,1),(524,1),(533,1)}
       348:{3,5,6}:{(298,1),(395,1),(398,1)}
       349:{2,4,6}:{(299,1),(310,1),(381,1),(396,1),(398,1),(399,1)}
       350:{2,3,5}:{(300,1),(311,1),(382,1),(399,1)}
       351:{1,3,6,7}:{(301,1),(302,1),(304,1),(400,1)}
       352:{1,2,4,6,7}:{(302,1),(303,1),(305,1),(393,1),(400,1),(401,1),(402,1),(414,1),(486,1)}
       353:{1,3,5,6,7}:{(303,1),(306,1),(394,1),(401,1),(402,1),(407,1),(487,1),(523,1),(548,1)}
       354:{2,5,7}:{(304,1),(308,1),(312,1),(400,1)}
       355:{1,3,5,7}:{(305,1),(309,1),(313,1),(395,1),(401,1),(404,1),(405,1)}
       356:{1,4,7}:{(306,1),(310,1),(396,1)}
       357:{1,3,5,7}:{(307,1),(311,1),(315,1),(397,1),(406,1),(407,1),(548,1)}
       358:{1,2,5,6}:{(308,1),(316,1),(403,1),(408,1),(496,1),(539,1)}
       359:{2,3,5,6}:{(308,1),(309,1),(317,1),(404,1),(408,1),(409,1),(417,1),(495,1),(537,1)}
       360:{1,3,4,6}:{(309,1),(310,1),(398,1),(405,1),(409,1),(410,1)}
       361:{1,4,5}:{(310,1),(311,1),(399,1)}
       362:{1,2,4,7}:{(312,1),(316,1),(403,1),(411,1),(489,1)}
       363:{2,3,7}:{(312,1),(313,1),(317,1),(411,1)}
       364:{1,3,4,7}:{(313,1),(314,1),(318,1),(412,1),(413,1)}
       365:{1,2,4,5,7}:{(314,1),(315,1),(319,1),(406,1),(413,1),(414,1),(490,1)}
       366:{1,2,5,6}:{(315,1),(407,1),(414,1),(537,1),(551,1)}
       367:{1,3,6}:{(316,1),(317,1),(320,1),(411,1)}
       368:{2,3,4,6}:{(317,1),(318,1),(321,1),(409,1),(412,1),(416,1),(417,1),(495,1)}
       369:{1,3,5}:{(318,1),(319,1),(417,1)}
       370:{1,2,3,5}:{(320,1),(415,1),(418,1),(496,1)}
       371:{1,3,4}:{(320,1),(321,1),(418,1)}
       372:{2,3,6,7}:{(322,1),(324,1),(419,1),(440,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(325,1),(419,1)}
       374:{1,2,5,6,7}:{(323,1),(326,1),(344,1),(420,1),(421,1),(434,1),(446,1),(541,1)}
       375:{1,3,5,7}:{(324,1),(325,1),(328,1),(332,1),(419,1),(422,1)}
       376:{1,2,4,5,7}:{(325,1),(326,1),(329,1),(333,1),(345,1),(420,1),(422,1),(423,1),(424,1),(500,1),(502,1),(541,1)}
       377:{1,3,5,7}:{(326,1),(327,1),(330,1),(346,1),(424,1)}
       378:{1,3,4,6,7}:{(327,1),(331,1),(335,1),(347,1),(424,1),(425,1),(432,1),(457,1),(504,1),(510,1),(516,1),(522,1)}
       379:{2,5,6}:{(328,1),(336,1),(422,1)}
       380:{1,3,5,6}:{(329,1),(337,1),(348,1),(423,1),(427,1),(428,1),(437,1),(510,1)}
       381:{1,4,6}:{(330,1),(349,1),(424,1),(429,1)}
       382:{1,3,5}:{(331,1),(339,1),(350,1),(429,1)}
       383:{2,4,7}:{(332,1),(336,1),(422,1),(431,1)}
       384:{1,3,7}:{(333,1),(337,1),(431,1)}
       385:{1,2,4,7}:{(334,1),(338,1),(424,1),(432,1),(502,1)}
       386:{1,2,5,7}:{(335,1),(339,1),(425,1),(434,1),(541,1)}
       387:{1,2,4,6}:{(336,1),(340,1),(426,1),(430,1),(435,1),(505,1)}
       388:{2,3,6}:{(336,1),(337,1),(341,1),(431,1),(435,1)}
       389:{1,3,4,6}:{(337,1),(338,1),(342,1),(432,1),(436,1),(437,1),(510,1)}
       390:{1,2,4,5}:{(338,1),(339,1),(429,1),(437,1),(506,1)}
       391:{1,3,5}:{(340,1),(341,1),(435,1),(439,1)}
       392:{2,3,4}:{(341,1),(342,1),(439,1)}
       393:{2,4,6,7}:{(343,1),(344,1),(345,1),(440,1)}
       394:{2,3,5,6,7}:{(344,1),(346,1),(353,1),(421,1),(440,1),(441,1),(444,1),(447,1),(498,1),(513,1),(517,1),(541,1)}
       395:{3,5,7}:{(345,1),(348,1),(440,1),(442,1)}
       396:{2,4,7}:{(346,1),(349,1),(356,1),(424,1),(442,1)}
       397:{2,3,5,7}:{(347,1),(350,1),(357,1),(425,1),(443,1),(444,1),(513,1),(517,1),(541,1)}
       398:{3,4,6}:{(348,1),(349,1),(442,1),(445,1)}
       399:{2,4,5}:{(349,1),(350,1),(361,1),(429,1),(445,1)}
       400:{2,6,7}:{(351,1),(354,1)}
       401:{1,3,6,7}:{(352,1),(355,1),(440,1),(447,1),(459,1)}
       402:{1,4,6,7}:{(353,1),(356,1),(441,1),(449,1),(453,1)}
       403:{1,2,5,7}:{(354,1),(358,1),(362,1),(446,1),(450,1)}
       404:{2,3,5,7}:{(354,1),(355,1),(359,1),(363,1),(447,1),(450,1),(451,1),(517,1)}
       405:{1,3,4,7}:{(355,1),(356,1),(360,1),(442,1),(451,1)}
       406:{1,4,5,7}:{(356,1),(357,1),(361,1),(443,1),(453,1)}
       407:{1,3,5,6}:{(357,1),(366,1),(444,1),(453,1),(459,1),(546,1),(552,1)}
       408:{1,3,5,6}:{(358,1),(359,1),(367,1),(450,1),(454,1),(461,1),(522,1),(547,1)}
       409:{2,4,6}:{(359,1),(360,1),(451,1),(454,1),(455,1)}
       410:{1,3,4,5}:{(360,1),(361,1),(369,1),(445,1),(455,1)}
       411:{1,3,7}:{(362,1),(363,1),(367,1)}
       412:{2,3,4,7}:{(363,1),(364,1),(368,1),(451,1),(457,1),(458,1)}
       413:{1,3,5,7}:{(364,1),(365,1),(369,1),(458,1),(459,1)}
       414:{1,2,4,6}:{(365,1),(366,1),(453,1),(459,1),(520,1)}
       415:{1,2,3,6}:{(367,1),(370,1),(456,1),(460,1)}
       416:{1,3,4,6}:{(367,1),(368,1),(371,1),(454,1),(457,1),(460,1),(461,1),(522,1)}
       417:{2,3,5}:{(368,1),(369,1),(455,1),(461,1)}
       418:{1,2,4}:{(370,1),(371,1)}
       419:{1,3,6,7}:{(372,1),(373,1),(375,1),(462,1)}
       420:{1,2,4,6,7}:{(373,1),(374,1),(376,1),(393,1),(462,1),(463,1),(464,1),(476,1),(524,1)}
       421:{1,3,5,6,7}:{(374,1),(377,1),(394,1),(463,1),(464,1),(469,1),(485,1),(525,1),(536,1)}
       422:{2,5,7}:{(375,1),(379,1),(383,1),(462,1)}
       423:{1,3,5,7}:{(376,1),(380,1),(384,1),(395,1),(463,1),(466,1),(467,1)}
       424:{1,4,7}:{(377,1),(381,1),(396,1)}
       425:{1,3,5,7}:{(378,1),(382,1),(386,1),(397,1),(468,1),(469,1),(536,1)}
       426:{1,2,5,6}:{(379,1),(387,1),(465,1),(470,1),(534,1),(551,1)}
       427:{2,3,5,6}:{(379,1),(380,1),(388,1),(466,1),(470,1),(471,1),(479,1),(533,1),(549,1)}
       428:{1,3,4,6}:{(380,1),(381,1),(398,1),(467,1),(471,1),(472,1)}
       429:{1,4,5}:{(381,1),(382,1),(399,1)}
       430:{1,2,4,7}:{(383,1),(387,1),(465,1),(473,1),(527,1)}
       431:{2,3,7}:{(383,1),(384,1),(388,1),(473,1)}
       432:{1,3,4,7}:{(384,1),(385,1),(389,1),(474,1),(475,1)}
       433:{1,2,4,5,7}:{(385,1),(386,1),(390,1),(468,1),(475,1),(476,1),(528,1)}
       434:{1,2,5,6}:{(386,1),(469,1),(476,1),(539,1),(549,1)}
       435:{1,3,6}:{(387,1),(388,1),(391,1),(473,1)}
       436:{2,3,4,6}:{(388,1),(389,1),(392,1),(471,1),(474,1),(478,1),(479,1),(533,1)}
       437:{1,3,5}:{(389,1),(390,1),(479,1)}
       438:{1,2,3,5}:{(391,1),(477,1),(480,1),(534,1)}
       439:{1,3,4}:{(391,1),(392,1),(480,1)}
       440:{3,6,7}:{(393,1),(395,1)}
       441:{2,4,6,7}:{(394,1),(396,1),(402,1),(464,1),(481,1),(482,1),(484,1)}
       442:{3,4,7}:{(395,1),(396,1),(398,1)}
       443:{2,4,5,7}:{(396,1),(397,1),(399,1),(406,1),(468,1),(483,1),(484,1)}
       444:{2,3,5,6}:{(397,1),(407,1),(469,1),(484,1),(495,1),(533,1),(535,1),(537,1),(549,1)}
       445:{3,4,5}:{(398,1),(399,1)}
       446:{1,2,6,7}:{(400,1),(403,1),(485,1),(539,1)}
       447:{2,3,6,7}:{(400,1),(401,1),(404,1),(485,1),(486,1),(495,1)}
       448:{1,3,4,6,7}:{(401,1),(402,1),(405,1),(481,1),(486,1),(487,1),(491,1)}
       449:{1,4,5,7}:{(402,1),(482,1),(487,1),(488,1),(548,1)}
       450:{1,3,5,7}:{(403,1),(404,1),(408,1),(411,1),(485,1),(489,1),(536,1)}
       451:{2,4,7}:{(404,1),(405,1),(409,1),(489,1)}
       452:{1,3,4,5,7}:{(405,1),(406,1),(410,1),(413,1),(483,1),(487,1),(490,1),(491,1)}
       453:{1,4,6}:{(406,1),(407,1),(484,1)}
       454:{1,4,6}:{(408,1),(409,1),(489,1),(492,1)}
       455:{2,4,5}:{(409,1),(410,1),(417,1),(492,1)}
       456:{1,2,3,7}:{(411,1),(415,1),(493,1)}
       457:{1,3,4,7}:{(411,1),(412,1),(416,1),(489,1),(493,1),(494,1)}
       458:{2,3,5,7}:{(412,1),(413,1),(417,1),(490,1),(494,1),(495,1)}
       459:{1,3,6}:{(413,1),(414,1),(495,1)}
       460:{1,2,4,6}:{(415,1),(416,1),(418,1),(493,1),(496,1),(539,1)}
       461:{1,3,5}:{(416,1),(417,1),(492,1),(496,1)}
       462:{2,6,7}:{(419,1),(422,1)}
       463:{1,3,6,7}:{(420,1),(423,1),(440,1),(498,1),(510,1)}
       464:{1,4,6,7}:{(421,1),(424,1),(441,1),(500,1),(504,1)}
       465:{1,2,5,7}:{(422,1),(426,1),(430,1),(497,1),(501,1)}
       466:{2,3,5,7}:{(422,1),(423,1),(427,1),(431,1),(498,1),(501,1),(502,1),(541,1)}
       467:{1,3,4,7}:{(423,1),(424,1),(428,1),(442,1),(502,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(429,1),(443,1),(504,1)}
       469:{1,3,5,6}:{(425,1),(434,1),(444,1),(504,1),(510,1),(522,1),(547,1)}
       470:{1,3,5,6}:{(426,1),(427,1),(435,1),(501,1),(505,1),(512,1),(546,1),(552,1)}
       471:{2,4,6}:{(427,1),(428,1),(502,1),(505,1),(506,1)}
       472:{1,3,4,5}:{(428,1),(429,1),(437,1),(445,1),(506,1)}
       473:{1,3,7}:{(430,1),(431,1),(435,1)}
       474:{2,3,4,7}:{(431,1),(432,1),(436,1),(502,1),(508,1),(509,1)}
       475:{1,3,5,7}:{(432,1),(433,1),(437,1),(509,1),(510,1)}
       476:{1,2,4,6}:{(433,1),(434,1),(504,1),(510,1),(544,1)}
       477:{1,2,3,6}:{(435,1),(438,1),(507,1),(511,1)}
       478:{1,3,4,6}:{(435,1),(436,1),(439,1),(505,1),(508,1),(511,1),(512,1),(546,1)}
       479:{2,3,5}:{(436,1),(437,1),(506,1),(512,1)}
       480:{1,2,4}:{(438,1),(439,1)}
       481:{3,4,6,7}:{(440,1),(441,1),(442,1),(513,1),(515,1)}
       482:{2,4,5,7}:{(441,1),(449,1),(500,1),(513,1),(514,1),(517,1),(541,1)}
       483:{3,4,5,7}:{(442,1),(443,1),(445,1),(513,1),(515,1)}
       484:{2,4,6}:{(443,1),(444,1),(453,1),(504,1),(515,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(450,1),(516,1),(522,1)}
       486:{2,4,6,7}:{(447,1),(448,1),(451,1),(516,1),(517,1),(520,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(513,1),(517,1),(518,1)}
       488:{1,4,5,6}:{(449,1),(453,1),(514,1),(518,1),(552,1)}
       489:{1,4,7}:{(450,1),(451,1),(454,1)}
       490:{2,4,5,7}:{(451,1),(452,1),(455,1),(458,1),(517,1),(519,1),(520,1)}
       491:{1,3,4,6}:{(452,1),(453,1),(459,1),(515,1),(518,1),(520,1)}
       492:{1,4,5}:{(454,1),(455,1),(461,1)}
       493:{1,2,4,7}:{(456,1),(457,1),(460,1),(521,1)}
       494:{1,3,5,7}:{(457,1),(458,1),(461,1),(519,1),(521,1),(522,1)}
       495:{2,3,6}:{(458,1),(459,1),(520,1),(522,1)}
       496:{1,2,5}:{(460,1),(461,1)}
       497:{1,2,6,7}:{(462,1),(465,1),(523,1),(551,1)}
       498:{2,3,6,7}:{(462,1),(463,1),(466,1),(523,1),(524,1),(533,1)}
       499:{1,3,4,6,7}:{(463,1),(464,1),(467,1),(481,1),(524,1),(525,1),(529,1)}
       500:{1,4,5,7}:{(464,1),(482,1),(525,1),(526,1),(536,1)}
       501:{1,3,5,7}:{(465,1),(466,1),(470,1),(473,1),(523,1),(527,1),(548,1)}
       502:{2,4,7}:{(466,1),(467,1),(471,1),(527,1)}
       503:{1,3,4,5,7}:{(467,1),(468,1),(472,1),(475,1),(483,1),(525,1),(528,1),(529,1)}
       504:{1,4,6}:{(468,1),(469,1),(484,1)}
       505:{1,4,6}:{(470,1),(471,1),(527,1),(530,1)}
       506:{2,4,5}:{(471,1),(472,1),(479,1),(530,1)}
       507:{1,2,3,7}:{(473,1),(477,1),(531,1)}
       508:{1,3,4,7}:{(473,1),(474,1),(478,1),(527,1),(531,1),(532,1)}
       509:{2,3,5,7}:{(474,1),(475,1),(479,1),(528,1),(532,1),(533,1)}
       510:{1,3,6}:{(475,1),(476,1),(533,1)}
       511:{1,2,4,6}:{(477,1),(478,1),(480,1),(531,1),(534,1),(551,1)}
       512:{1,3,5}:{(478,1),(479,1),(530,1),(534,1)}
       513:{3,5,7}:{(481,1),(482,1),(535,1)}
       514:{2,4,5,6}:{(482,1),(484,1),(488,1),(526,1),(535,1),(537,1),(549,1)}
       515:{3,4,6}:{(483,1),(484,1),(535,1)}
       516:{1,4,6,7}:{(485,1),(486,1),(489,1),(536,1),(538,1)}
       517:{2,5,7}:{(486,1),(487,1),(536,1),(537,1)}
       518:{1,3,5,6}:{(487,1),(488,1),(491,1),(535,1),(537,1)}
       519:{1,4,5,7}:{(489,1),(490,1),(492,1),(494,1),(536,1),(538,1)}
       520:{2,4,6}:{(490,1),(491,1),(495,1),(537,1),(538,1)}
       521:{1,2,5,7}:{(493,1),(494,1),(496,1),(539,1)}
       522:{1,3,6}:{(494,1),(495,1),(538,1),(539,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(501,1),(540,1),(546,1)}
       524:{2,4,6,7}:{(498,1),(499,1),(502,1),(540,1),(541,1),(544,1)}
       525:{1,3,5,7}:{(499,1),(500,1),(513,1),(541,1),(542,1)}
       526:{1,4,5,6}:{(500,1),(504,1),(514,1),(542,1),(547,1)}
       527:{1,4,7}:{(501,1),(502,1),(505,1)}
       528:{2,4,5,7}:{(502,1),(503,1),(506,1),(509,1),(541,1),(543,1),(544,1)}
       529:{1,3,4,6}:{(503,1),(504,1),(510,1),(515,1),(542,1),(544,1)}
       530:{1,4,5}:{(505,1),(506,1),(512,1)}
       531:{1,2,4,7}:{(507,1),(508,1),(511,1),(545,1)}
       532:{1,3,5,7}:{(508,1),(509,1),(512,1),(543,1),(545,1),(546,1)}
       533:{2,3,6}:{(509,1),(510,1),(544,1),(546,1)}
       534:{1,2,5}:{(511,1),(512,1)}
       535:{3,5,6}:{(513,1),(514,1),(515,1)}
       536:{1,5,7}:{(516,1),(517,1),(547,1)}
       537:{2,5,6}:{(517,1),(518,1),(520,1),(547,1)}
       538:{1,4,6}:{(519,1),(520,1),(522,1),(547,1)}
       539:{1,2,6}:{(521,1),(522,1)}
       540:{1,4,6,7}:{(523,1),(524,1),(527,1),(548,1),(550,1)}
       541:{2,5,7}:{(524,1),(525,1),(548,1),(549,1)}
       542:{1,3,5,6}:{(525,1),(526,1),(529,1),(535,1),(549,1)}
       543:{1,4,5,7}:{(527,1),(528,1),(530,1),(532,1),(548,1),(550,1)}
       544:{2,4,6}:{(528,1),(529,1),(533,1),(549,1),(550,1)}
       545:{1,2,5,7}:{(531,1),(532,1),(534,1),(551,1)}
       546:{1,3,6}:{(532,1),(533,1),(550,1),(551,1)}
       547:{1,5,6}:{(536,1),(537,1),(538,1)}
       548:{1,5,7}:{(540,1),(541,1),(552,1)}
       549:{2,5,6}:{(541,1),(542,1),(544,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{1,2,6}:{(545,1),(546,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1528 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(50,1),(81,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(8,1),(29,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(109,1),(154,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(47,1),(84,1)}
         5:{1,3,4,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(44,1),(45,1),(50,1),(82,1),(135,1)}
         6:{1,2,4}:{(1,1),(15,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(167,1)}
         8:{1,2,5}:{(3,1),(14,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(22,1),(57,1)}
        10:{1,2,3,7}:{(4,1),(21,1),(112,1)}
        11:{1,2,4,6}:{(4,1),(19,1),(20,1),(21,1),(22,1),(59,1),(72,1),(125,1)}
        12:{2,3,4,6}:{(5,1),(19,1),(23,1),(24,1),(28,1),(56,1),(63,1),(64,1),(74,1),(111,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(23,1),(26,1),(70,1),(75,1),(155,1)}
        14:{1,3,5}:{(5,1),(8,1),(24,1),(25,1)}
        15:{1,3,4}:{(6,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(25,1),(29,1),(30,1),(67,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(26,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(30,1),(31,1),(32,1),(119,1),(154,1)}
        19:{1,3,4,6}:{(11,1),(12,1),(33,1),(34,1),(35,1),(48,1),(78,1),(79,1),(84,1),(101,1)}
        20:{1,2,4}:{(9,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(33,1),(37,1),(147,1)}
        22:{1,2,5}:{(11,1),(34,1)}
        23:{2,3,4,7}:{(12,1),(13,1),(33,1),(40,1),(91,1),(102,1),(136,1)}
        24:{2,3,5}:{(12,1),(14,1),(34,1),(39,1)}
        25:{1,4,5}:{(14,1),(39,1),(44,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(17,1),(40,1),(43,1),(45,1)}
        27:{1,3,5,6}:{(14,1),(18,1),(41,1),(44,1),(45,1),(46,1),(50,1),(98,1),(135,1),(162,1)}
        28:{2,3,4}:{(15,1),(48,1),(49,1)}
        29:{1,3,5}:{(15,1),(16,1),(49,1),(50,1)}
        30:{1,2,4,6}:{(16,1),(18,1),(44,1),(50,1),(51,1),(96,1)}
        31:{1,2,6}:{(17,1),(45,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(51,1),(52,1),(143,1),(167,1)}
        33:{1,3,4,7}:{(19,1),(21,1),(23,1),(54,1),(107,1),(112,1),(126,1)}
        34:{1,3,5}:{(19,1),(22,1),(24,1),(53,1)}
        35:{1,3,4}:{(20,1),(56,1),(57,1)}
        36:{1,2,4,5}:{(20,1),(22,1),(53,1),(57,1),(58,1),(104,1)}
        37:{1,2,5,7}:{(21,1),(22,1),(54,1),(59,1)}
        38:{1,2,5,6}:{(22,1),(55,1),(58,1),(59,1),(60,1),(125,1),(148,1)}
        39:{2,4,5}:{(24,1),(25,1),(53,1),(61,1),(63,1)}
        40:{2,3,5,7}:{(23,1),(24,1),(26,1),(54,1),(62,1),(64,1)}
        41:{2,3,5,6}:{(24,1),(27,1),(55,1),(63,1),(64,1),(65,1),(74,1),(111,1),(113,1),(117,1),(119,1),(148,1)}
        42:{1,3,4,5}:{(25,1),(29,1),(61,1),(67,1),(68,1)}
        43:{1,4,5,7}:{(25,1),(26,1),(62,1),(69,1),(70,1),(124,1)}
        44:{1,4,6}:{(25,1),(27,1),(63,1),(70,1)}
        45:{1,3,6}:{(26,1),(31,1),(64,1),(69,1)}
        46:{1,3,5,7}:{(27,1),(32,1),(65,1),(70,1),(71,1),(75,1),(124,1),(155,1),(171,1)}
        47:{1,2,3}:{(72,1)}
        48:{1,3,4}:{(28,1),(72,1),(73,1)}
        49:{2,3,5}:{(28,1),(29,1),(67,1),(73,1),(74,1)}
        50:{1,3,6}:{(29,1),(30,1),(74,1),(75,1)}
        51:{1,2,4,7}:{(30,1),(32,1),(70,1),(75,1),(123,1)}
        52:{1,2,6,7}:{(31,1),(32,1),(71,1),(161,1)}
        53:{1,4,5}:{(34,1),(39,1),(78,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(37,1),(40,1),(77,1),(79,1)}
        55:{1,3,5,6}:{(34,1),(38,1),(41,1),(78,1),(79,1),(80,1),(84,1),(101,1),(132,1),(142,1)}
        56:{2,3,4}:{(35,1),(82,1),(83,1)}
        57:{1,3,5}:{(35,1),(36,1),(83,1),(84,1)}
        58:{1,2,4,6}:{(36,1),(38,1),(78,1),(84,1),(85,1),(130,1)}
        59:{1,2,6}:{(37,1),(79,1)}
        60:{1,2,5,7}:{(38,1),(80,1),(85,1),(86,1),(147,1),(163,1)}
        61:{3,4,5}:{(39,1),(89,1)}
        62:{2,4,5,7}:{(39,1),(40,1),(43,1),(77,1),(88,1),(90,1),(91,1),(141,1)}
        63:{2,4,6}:{(39,1),(41,1),(44,1),(78,1),(89,1),(91,1)}
        64:{2,3,6}:{(40,1),(45,1),(79,1),(90,1)}
        65:{2,3,5,7}:{(41,1),(46,1),(80,1),(91,1),(92,1),(102,1),(136,1),(137,1),(141,1),(143,1),(163,1)}
        66:{1,4,5,6}:{(44,1),(87,1),(93,1),(94,1),(98,1),(162,1)}
        67:{2,4,5}:{(42,1),(49,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(42,1),(44,1),(50,1),(89,1),(93,1),(96,1),(97,1)}
        69:{1,4,6}:{(43,1),(45,1),(90,1),(98,1)}
        70:{1,4,7}:{(44,1),(46,1),(91,1)}
        71:{1,3,6,7}:{(45,1),(46,1),(52,1),(92,1),(99,1),(174,1)}
        72:{1,2,4}:{(47,1),(48,1),(100,1)}
        73:{1,3,5}:{(48,1),(49,1),(95,1),(100,1),(101,1)}
        74:{2,3,6}:{(49,1),(50,1),(96,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(51,1),(102,1)}
        76:{1,3,4,5}:{(53,1),(57,1),(61,1),(104,1),(105,1)}
        77:{1,4,5,7}:{(53,1),(54,1),(62,1),(106,1),(107,1),(153,1)}
        78:{1,4,6}:{(53,1),(55,1),(63,1),(107,1)}
        79:{1,3,6}:{(54,1),(59,1),(64,1),(106,1)}
        80:{1,3,5,7}:{(55,1),(60,1),(65,1),(107,1),(108,1),(112,1),(126,1),(153,1),(160,1)}
        81:{1,2,3}:{(109,1)}
        82:{1,3,4}:{(56,1),(109,1),(110,1)}
        83:{2,3,5}:{(56,1),(57,1),(104,1),(110,1),(111,1)}
        84:{1,3,6}:{(57,1),(58,1),(111,1),(112,1)}
        85:{1,2,4,7}:{(58,1),(60,1),(107,1),(112,1),(152,1)}
        86:{1,2,6,7}:{(59,1),(60,1),(108,1),(172,1)}
        87:{2,4,5,6}:{(63,1),(66,1),(103,1),(113,1),(114,1),(117,1),(119,1),(148,1),(158,1)}
        88:{3,4,5,7}:{(61,1),(62,1),(115,1),(116,1),(159,1)}
        89:{3,4,6}:{(61,1),(63,1),(113,1),(116,1)}
        90:{2,4,6}:{(62,1),(64,1),(69,1),(106,1),(115,1),(117,1)}
        91:{2,4,7}:{(63,1),(65,1),(70,1),(107,1),(116,1)}
        92:{2,3,6,7}:{(64,1),(65,1),(71,1),(108,1),(118,1),(156,1),(161,1),(172,1)}
        93:{1,3,5,6}:{(66,1),(68,1),(113,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(66,1),(70,1),(114,1),(120,1),(121,1),(124,1),(171,1)}
        95:{1,4,5}:{(67,1),(73,1),(122,1)}
        96:{2,4,6}:{(67,1),(68,1),(74,1),(119,1),(122,1),(123,1)}
        97:{1,3,4,7}:{(68,1),(70,1),(75,1),(116,1),(120,1),(123,1)}
        98:{1,5,6}:{(69,1),(117,1),(124,1)}
        99:{1,4,6,7}:{(69,1),(70,1),(71,1),(118,1),(124,1)}
       100:{1,2,5}:{(72,1),(73,1),(125,1)}
       101:{1,3,6}:{(73,1),(74,1),(122,1),(125,1),(126,1)}
       102:{2,3,7}:{(74,1),(75,1),(123,1),(126,1)}
       103:{1,4,5,6}:{(78,1),(87,1),(127,1),(128,1),(132,1),(142,1)}
       104:{2,4,5}:{(76,1),(83,1),(129,1),(130,1)}
       105:{1,3,4,6}:{(76,1),(78,1),(84,1),(89,1),(127,1),(130,1),(131,1)}
       106:{1,4,6}:{(77,1),(79,1),(90,1),(132,1)}
       107:{1,4,7}:{(78,1),(80,1),(91,1)}
       108:{1,3,6,7}:{(79,1),(80,1),(86,1),(92,1),(133,1),(170,1)}
       109:{1,2,4}:{(81,1),(82,1),(134,1)}
       110:{1,3,5}:{(82,1),(83,1),(129,1),(134,1),(135,1)}
       111:{2,3,6}:{(83,1),(84,1),(130,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(136,1)}
       113:{3,5,6}:{(87,1),(89,1),(137,1)}
       114:{2,4,5,7}:{(87,1),(91,1),(94,1),(128,1),(137,1),(138,1),(141,1),(143,1),(163,1),(169,1)}
       115:{3,4,6}:{(88,1),(90,1),(139,1)}
       116:{3,4,7}:{(89,1),(91,1),(137,1)}
       117:{2,5,6}:{(90,1),(98,1),(132,1),(139,1),(141,1)}
       118:{2,4,6,7}:{(90,1),(91,1),(92,1),(99,1),(133,1),(140,1),(141,1)}
       119:{2,5,6}:{(93,1),(96,1),(142,1),(143,1)}
       120:{1,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(143,1),(144,1)}
       121:{1,4,6,7}:{(94,1),(138,1),(144,1),(145,1),(174,1)}
       122:{1,4,6}:{(95,1),(96,1),(101,1),(142,1),(146,1)}
       123:{2,4,7}:{(96,1),(97,1),(102,1),(143,1),(146,1)}
       124:{1,5,7}:{(98,1),(99,1),(141,1)}
       125:{1,2,6}:{(100,1),(101,1),(147,1)}
       126:{1,3,7}:{(101,1),(102,1),(146,1),(147,1)}
       127:{1,3,5,6}:{(103,1),(105,1),(113,1),(148,1),(149,1)}
       128:{1,4,5,7}:{(103,1),(107,1),(114,1),(149,1),(150,1),(153,1),(160,1)}
       129:{1,4,5}:{(104,1),(110,1),(151,1)}
       130:{2,4,6}:{(104,1),(105,1),(111,1),(148,1),(151,1),(152,1)}
       131:{1,3,4,7}:{(105,1),(107,1),(112,1),(116,1),(149,1),(152,1)}
       132:{1,5,6}:{(106,1),(117,1),(153,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(108,1),(118,1),(153,1)}
       134:{1,2,5}:{(109,1),(110,1),(154,1)}
       135:{1,3,6}:{(110,1),(111,1),(151,1),(154,1),(155,1)}
       136:{2,3,7}:{(111,1),(112,1),(152,1),(155,1)}
       137:{3,5,7}:{(113,1),(114,1),(116,1),(156,1)}
       138:{2,4,6,7}:{(114,1),(121,1),(150,1),(156,1),(157,1),(161,1),(172,1),(173,1)}
       139:{3,5,6}:{(115,1),(117,1),(158,1),(159,1)}
       140:{3,4,6,7}:{(115,1),(116,1),(118,1),(156,1),(159,1),(173,1)}
       141:{2,5,7}:{(117,1),(118,1),(124,1),(153,1),(159,1)}
       142:{1,5,6}:{(119,1),(122,1),(160,1)}
       143:{2,5,7}:{(119,1),(120,1),(123,1),(160,1),(161,1)}
       144:{1,3,6,7}:{(120,1),(121,1),(156,1),(161,1)}
       145:{1,5,6,7}:{(121,1),(124,1),(157,1)}
       146:{1,4,7}:{(122,1),(123,1),(126,1),(160,1)}
       147:{1,2,7}:{(125,1),(126,1)}
       148:{2,5,6}:{(127,1),(130,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(127,1),(128,1),(131,1),(137,1),(163,1),(164,1)}
       150:{1,4,6,7}:{(128,1),(138,1),(164,1),(165,1),(170,1)}
       151:{1,4,6}:{(129,1),(130,1),(135,1),(162,1),(166,1)}
       152:{2,4,7}:{(130,1),(131,1),(136,1),(163,1),(166,1)}
       153:{1,5,7}:{(132,1),(133,1),(141,1)}
       154:{1,2,6}:{(134,1),(135,1),(167,1)}
       155:{1,3,7}:{(135,1),(136,1),(166,1),(167,1)}
       156:{3,6,7}:{(137,1),(138,1)}
       157:{2,5,6,7}:{(138,1),(141,1),(145,1),(165,1),(168,1)}
       158:{4,5,6}:{(139,1),(169,1)}
       159:{3,5,7}:{(139,1),(140,1),(141,1),(169,1)}
       160:{1,5,7}:{(142,1),(143,1),(146,1),(170,1)}
       161:{2,6,7}:{(143,1),(144,1),(170,1)}
       162:{1,5,6}:{(148,1),(151,1),(171,1)}
       163:{2,5,7}:{(148,1),(149,1),(152,1),(171,1),(172,1)}
       164:{1,3,6,7}:{(149,1),(150,1),(156,1),(172,1)}
       165:{1,5,6,7}:{(150,1),(153,1),(157,1)}
       166:{1,4,7}:{(151,1),(152,1),(155,1),(171,1)}
       167:{1,2,7}:{(154,1),(155,1)}
       168:{3,5,6,7}:{(156,1),(157,1),(159,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(160,1),(161,1)}
       171:{1,5,7}:{(162,1),(163,1),(166,1),(174,1)}
       172:{2,6,7}:{(163,1),(164,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1529 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(65,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(170,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(123,1)}
         4:{1,3,4,7}:{(2,1),(10,1),(11,1),(12,1),(85,1),(89,1),(161,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(42,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(120,1),(160,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(62,1),(98,1)}
         9:{1,2,4,7}:{(3,1),(16,1),(18,1),(19,1),(154,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(105,1),(114,1),(145,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(20,1),(23,1),(24,1),(25,1),(60,1),(65,1),(96,1),(144,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(21,1),(22,1),(23,1),(24,1)}
        13:{1,2,4}:{(5,1),(25,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,6}:{(7,1),(24,1)}
        16:{1,3,4,7}:{(9,1),(10,1),(29,1),(30,1),(119,1),(123,1),(136,1)}
        17:{1,2,3,5}:{(8,1),(31,1),(32,1),(72,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(86,1),(135,1)}
        19:{1,2,5,7}:{(9,1),(30,1),(32,1),(33,1)}
        20:{2,3,4,6}:{(10,1),(11,1),(29,1),(35,1),(36,1),(41,1),(71,1),(79,1),(88,1),(122,1)}
        21:{2,3,5,7}:{(10,1),(12,1),(30,1),(34,1),(35,1),(36,1)}
        22:{1,4,5,7}:{(12,1),(34,1),(37,1),(38,1),(82,1),(85,1)}
        23:{1,3,5}:{(11,1),(14,1),(35,1),(38,1)}
        24:{1,3,6}:{(12,1),(15,1),(36,1),(37,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1)}
        26:{1,2,4,5}:{(13,1),(14,1),(38,1),(42,1),(43,1),(83,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(39,1),(43,1),(44,1),(131,1),(160,1)}
        28:{1,2,6,7}:{(15,1),(40,1),(44,1),(164,1)}
        29:{1,3,4,6}:{(16,1),(18,1),(20,1),(46,1),(47,1),(48,1),(63,1),(93,1),(98,1),(113,1)}
        30:{1,3,5,7}:{(16,1),(19,1),(21,1),(45,1),(46,1),(47,1)}
        31:{1,2,4}:{(17,1),(48,1)}
        32:{1,2,5}:{(18,1),(46,1)}
        33:{1,2,6}:{(19,1),(47,1)}
        34:{2,4,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1),(54,1),(103,1),(105,1)}
        35:{2,3,5}:{(20,1),(23,1),(46,1),(54,1)}
        36:{2,3,6}:{(21,1),(24,1),(47,1),(53,1)}
        37:{1,4,6}:{(22,1),(24,1),(53,1),(57,1)}
        38:{1,4,5}:{(23,1),(54,1),(60,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(27,1),(55,1),(57,1),(60,1),(61,1),(65,1),(144,1),(167,1)}
        40:{1,3,6,7}:{(24,1),(28,1),(56,1),(58,1),(61,1),(174,1)}
        41:{2,3,4}:{(25,1),(63,1),(64,1)}
        42:{1,3,5}:{(25,1),(26,1),(64,1),(65,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(60,1),(65,1),(66,1),(110,1)}
        44:{1,2,5,7}:{(27,1),(28,1),(61,1),(66,1),(152,1),(170,1)}
        45:{1,4,5,7}:{(30,1),(34,1),(67,1),(68,1),(116,1),(119,1)}
        46:{1,3,5}:{(29,1),(32,1),(35,1),(68,1)}
        47:{1,3,6}:{(30,1),(33,1),(36,1),(67,1)}
        48:{1,3,4}:{(31,1),(71,1),(72,1)}
        49:{1,2,4,5}:{(31,1),(32,1),(68,1),(72,1),(73,1),(117,1)}
        50:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(135,1),(156,1)}
        51:{1,2,6,7}:{(33,1),(70,1),(74,1),(172,1)}
        52:{3,4,5,7}:{(34,1),(75,1),(78,1),(125,1),(129,1)}
        53:{2,4,6}:{(34,1),(36,1),(37,1),(67,1),(75,1),(76,1)}
        54:{2,4,5}:{(35,1),(38,1),(68,1),(78,1),(79,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(69,1),(76,1),(79,1),(80,1),(88,1),(122,1),(127,1),(131,1),(156,1)}
        56:{2,3,6,7}:{(36,1),(40,1),(70,1),(77,1),(80,1),(163,1),(164,1),(172,1)}
        57:{1,5,6}:{(37,1),(76,1),(82,1)}
        58:{1,4,6,7}:{(37,1),(40,1),(77,1),(82,1),(85,1)}
        59:{1,3,4,5}:{(38,1),(42,1),(78,1),(83,1),(84,1)}
        60:{1,4,6}:{(38,1),(39,1),(79,1),(85,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(82,1),(85,1),(89,1),(161,1),(173,1)}
        62:{1,2,3}:{(86,1)}
        63:{1,3,4}:{(41,1),(86,1),(87,1)}
        64:{2,3,5}:{(41,1),(42,1),(83,1),(87,1),(88,1)}
        65:{1,3,6}:{(42,1),(43,1),(88,1),(89,1)}
        66:{1,2,4,7}:{(43,1),(44,1),(85,1),(89,1),(134,1)}
        67:{1,4,6}:{(45,1),(47,1),(53,1),(90,1)}
        68:{1,4,5}:{(46,1),(54,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(50,1),(55,1),(90,1),(93,1),(94,1),(98,1),(113,1),(151,1)}
        70:{1,3,6,7}:{(47,1),(51,1),(56,1),(91,1),(94,1),(171,1)}
        71:{2,3,4}:{(48,1),(96,1),(97,1)}
        72:{1,3,5}:{(48,1),(49,1),(97,1),(98,1)}
        73:{1,2,4,6}:{(49,1),(50,1),(93,1),(98,1),(99,1),(141,1)}
        74:{1,2,5,7}:{(50,1),(51,1),(94,1),(99,1),(154,1),(168,1)}
        75:{3,4,6}:{(52,1),(53,1),(100,1)}
        76:{2,5,6}:{(53,1),(57,1),(90,1),(100,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(56,1),(58,1),(91,1),(101,1),(103,1),(105,1)}
        78:{3,4,5}:{(54,1),(104,1)}
        79:{2,4,6}:{(54,1),(55,1),(60,1),(93,1),(104,1),(105,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(61,1),(94,1),(103,1),(105,1),(114,1),(145,1),(149,1),(152,1),(168,1)}
        81:{1,4,5,6}:{(57,1),(60,1),(102,1),(107,1),(108,1),(167,1)}
        82:{1,5,7}:{(57,1),(58,1),(103,1)}
        83:{2,4,5}:{(59,1),(64,1),(109,1),(110,1)}
        84:{1,3,4,6}:{(59,1),(60,1),(65,1),(104,1),(107,1),(110,1),(111,1)}
        85:{1,4,7}:{(60,1),(61,1),(105,1)}
        86:{1,2,4}:{(62,1),(63,1),(112,1)}
        87:{1,3,5}:{(63,1),(64,1),(109,1),(112,1),(113,1)}
        88:{2,3,6}:{(64,1),(65,1),(110,1),(113,1),(114,1)}
        89:{1,3,7}:{(65,1),(66,1),(114,1)}
        90:{1,5,6}:{(67,1),(76,1),(116,1)}
        91:{1,4,6,7}:{(67,1),(70,1),(77,1),(116,1),(119,1)}
        92:{1,3,4,5}:{(68,1),(72,1),(78,1),(117,1),(118,1)}
        93:{1,4,6}:{(68,1),(69,1),(79,1),(119,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(74,1),(80,1),(116,1),(119,1),(123,1),(136,1),(165,1)}
        95:{1,2,3}:{(120,1)}
        96:{1,3,4}:{(71,1),(120,1),(121,1)}
        97:{2,3,5}:{(71,1),(72,1),(117,1),(121,1),(122,1)}
        98:{1,3,6}:{(72,1),(73,1),(122,1),(123,1)}
        99:{1,2,4,7}:{(73,1),(74,1),(119,1),(123,1),(159,1)}
       100:{3,5,6}:{(75,1),(76,1),(124,1),(125,1)}
       101:{3,4,6,7}:{(75,1),(77,1),(125,1),(129,1),(162,1),(163,1)}
       102:{2,4,5,6}:{(76,1),(79,1),(81,1),(115,1),(124,1),(127,1),(128,1),(131,1),(156,1)}
       103:{2,5,7}:{(76,1),(77,1),(82,1),(116,1),(125,1)}
       104:{3,4,6}:{(78,1),(79,1),(127,1),(129,1)}
       105:{2,4,7}:{(79,1),(80,1),(85,1),(119,1),(129,1)}
       106:{1,5,6,7}:{(82,1),(126,1),(130,1)}
       107:{1,3,5,6}:{(81,1),(84,1),(127,1),(131,1),(132,1)}
       108:{1,4,5,7}:{(81,1),(82,1),(85,1),(128,1),(130,1),(132,1),(173,1)}
       109:{1,4,5}:{(83,1),(87,1),(133,1)}
       110:{2,4,6}:{(83,1),(84,1),(88,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,7}:{(84,1),(85,1),(89,1),(129,1),(132,1),(134,1)}
       112:{1,2,5}:{(86,1),(87,1),(135,1)}
       113:{1,3,6}:{(87,1),(88,1),(133,1),(135,1),(136,1)}
       114:{2,3,7}:{(88,1),(89,1),(134,1),(136,1)}
       115:{1,4,5,6}:{(90,1),(93,1),(102,1),(138,1),(139,1),(151,1)}
       116:{1,5,7}:{(90,1),(91,1),(103,1)}
       117:{2,4,5}:{(92,1),(97,1),(140,1),(141,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(98,1),(104,1),(138,1),(141,1),(142,1)}
       119:{1,4,7}:{(93,1),(94,1),(105,1)}
       120:{1,2,4}:{(95,1),(96,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(140,1),(143,1),(144,1)}
       122:{2,3,6}:{(97,1),(98,1),(141,1),(144,1),(145,1)}
       123:{1,3,7}:{(98,1),(99,1),(145,1)}
       124:{4,5,6}:{(100,1),(147,1)}
       125:{3,5,7}:{(100,1),(101,1),(103,1),(147,1)}
       126:{2,5,6,7}:{(103,1),(106,1),(137,1),(146,1),(148,1)}
       127:{3,5,6}:{(102,1),(104,1),(149,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(108,1),(139,1),(147,1),(148,1),(149,1),(152,1),(168,1)}
       129:{3,4,7}:{(104,1),(105,1),(149,1)}
       130:{1,4,6,7}:{(106,1),(108,1),(148,1),(150,1),(174,1)}
       131:{2,5,6}:{(107,1),(110,1),(151,1),(152,1)}
       132:{1,3,5,7}:{(107,1),(108,1),(111,1),(149,1),(150,1),(152,1)}
       133:{1,4,6}:{(109,1),(110,1),(113,1),(151,1),(153,1)}
       134:{2,4,7}:{(110,1),(111,1),(114,1),(152,1),(153,1)}
       135:{1,2,6}:{(112,1),(113,1),(154,1)}
       136:{1,3,7}:{(113,1),(114,1),(153,1),(154,1)}
       137:{1,5,6,7}:{(116,1),(126,1),(155,1)}
       138:{1,3,5,6}:{(115,1),(118,1),(127,1),(156,1),(157,1)}
       139:{1,4,5,7}:{(115,1),(116,1),(119,1),(128,1),(155,1),(157,1),(165,1)}
       140:{1,4,5}:{(117,1),(121,1),(158,1)}
       141:{2,4,6}:{(117,1),(118,1),(122,1),(156,1),(158,1),(159,1)}
       142:{1,3,4,7}:{(118,1),(119,1),(123,1),(129,1),(157,1),(159,1)}
       143:{1,2,5}:{(120,1),(121,1),(160,1)}
       144:{1,3,6}:{(121,1),(122,1),(158,1),(160,1),(161,1)}
       145:{2,3,7}:{(122,1),(123,1),(159,1),(161,1)}
       146:{3,5,6,7}:{(125,1),(126,1),(162,1),(163,1)}
       147:{4,5,7}:{(124,1),(125,1),(162,1)}
       148:{2,4,6,7}:{(126,1),(128,1),(130,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(127,1),(128,1),(129,1),(163,1)}
       150:{1,3,6,7}:{(130,1),(132,1),(163,1),(164,1)}
       151:{1,5,6}:{(131,1),(133,1),(165,1)}
       152:{2,5,7}:{(131,1),(132,1),(134,1),(164,1),(165,1)}
       153:{1,4,7}:{(133,1),(134,1),(136,1),(165,1)}
       154:{1,2,7}:{(135,1),(136,1)}
       155:{1,4,6,7}:{(137,1),(139,1),(148,1),(166,1),(171,1)}
       156:{2,5,6}:{(138,1),(141,1),(167,1),(168,1)}
       157:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(166,1),(168,1)}
       158:{1,4,6}:{(140,1),(141,1),(144,1),(167,1),(169,1)}
       159:{2,4,7}:{(141,1),(142,1),(145,1),(168,1),(169,1)}
       160:{1,2,6}:{(143,1),(144,1),(170,1)}
       161:{1,3,7}:{(144,1),(145,1),(169,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(152,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(157,1),(163,1),(172,1)}
       167:{1,5,6}:{(156,1),(158,1),(173,1)}
       168:{2,5,7}:{(156,1),(157,1),(159,1),(172,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(161,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(168,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1530 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(35,1),(49,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(28,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(34,1),(56,1),(108,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(75,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(13,1),(84,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{1,3,4,6}:{(2,1),(12,1),(14,1),(16,1),(17,1),(49,1),(51,1),(54,1),(80,1),(131,1)}
         7:{1,2,5}:{(2,1),(16,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(17,1),(19,1),(132,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(22,1),(58,1)}
        10:{1,2,4,6}:{(4,1),(20,1),(21,1),(22,1),(23,1),(26,1),(64,1),(71,1)}
        11:{1,2,3,7}:{(4,1),(23,1),(112,1)}
        12:{2,3,4,6}:{(6,1),(21,1),(24,1),(25,1),(27,1),(57,1),(66,1),(69,1),(73,1),(110,1)}
        13:{1,2,3}:{(26,1)}
        14:{1,3,4}:{(5,1),(27,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(7,1),(28,1),(29,1),(30,1),(72,1)}
        16:{1,3,5}:{(6,1),(7,1),(24,1),(30,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(25,1),(32,1),(75,1),(77,1),(151,1)}
        18:{1,2,5,6}:{(7,1),(29,1),(31,1),(33,1),(34,1),(108,1),(125,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,2,4}:{(9,1),(36,1)}
        21:{1,3,4,6}:{(10,1),(12,1),(36,1),(38,1),(39,1),(45,1),(84,1),(86,1),(89,1),(98,1)}
        22:{1,2,5}:{(10,1),(38,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(39,1),(41,1),(99,1)}
        24:{2,3,5}:{(12,1),(16,1),(38,1),(42,1)}
        25:{2,3,4,7}:{(12,1),(17,1),(39,1),(44,1),(94,1),(101,1),(134,1)}
        26:{1,2,4}:{(13,1),(45,1),(46,1)}
        27:{2,3,4}:{(14,1),(45,1),(47,1)}
        28:{1,3,5}:{(14,1),(15,1),(47,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(49,1),(50,1),(51,1),(100,1)}
        30:{1,4,5}:{(16,1),(42,1),(51,1)}
        31:{1,3,5,6}:{(16,1),(18,1),(43,1),(49,1),(51,1),(53,1),(54,1),(106,1),(131,1),(163,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(44,1),(52,1),(54,1)}
        33:{1,2,5,7}:{(18,1),(50,1),(53,1),(55,1),(132,1),(147,1)}
        34:{1,2,6}:{(19,1),(54,1)}
        35:{1,2,3}:{(56,1)}
        36:{1,3,4}:{(20,1),(57,1),(58,1)}
        37:{1,2,4,5}:{(20,1),(22,1),(58,1),(59,1),(60,1),(109,1)}
        38:{1,3,5}:{(21,1),(22,1),(24,1),(60,1)}
        39:{1,3,4,7}:{(21,1),(23,1),(25,1),(62,1),(112,1),(114,1),(124,1)}
        40:{1,2,5,6}:{(22,1),(59,1),(61,1),(63,1),(64,1),(71,1),(152,1)}
        41:{1,2,5,7}:{(22,1),(23,1),(62,1),(64,1)}
        42:{2,4,5}:{(24,1),(30,1),(60,1),(65,1),(66,1)}
        43:{2,3,5,6}:{(24,1),(31,1),(61,1),(66,1),(68,1),(69,1),(73,1),(110,1),(117,1),(122,1),(125,1),(152,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(32,1),(62,1),(67,1),(69,1)}
        45:{1,3,4}:{(26,1),(27,1),(70,1)}
        46:{1,2,5}:{(26,1),(70,1),(71,1)}
        47:{2,3,5}:{(27,1),(28,1),(70,1),(72,1),(73,1)}
        48:{1,3,4,5}:{(28,1),(30,1),(65,1),(72,1),(74,1)}
        49:{1,3,6}:{(28,1),(29,1),(73,1),(75,1)}
        50:{1,2,4,7}:{(29,1),(33,1),(75,1),(77,1),(126,1)}
        51:{1,4,6}:{(30,1),(31,1),(66,1),(77,1)}
        52:{1,4,5,7}:{(30,1),(32,1),(67,1),(77,1),(78,1),(129,1)}
        53:{1,3,5,7}:{(31,1),(33,1),(68,1),(75,1),(77,1),(79,1),(129,1),(151,1),(171,1)}
        54:{1,3,6}:{(32,1),(34,1),(69,1),(78,1)}
        55:{1,2,6,7}:{(33,1),(34,1),(79,1),(162,1)}
        56:{1,2,4}:{(35,1),(80,1),(81,1)}
        57:{2,3,4}:{(36,1),(80,1),(82,1)}
        58:{1,3,5}:{(36,1),(37,1),(82,1),(84,1)}
        59:{1,2,4,6}:{(37,1),(40,1),(84,1),(85,1),(86,1),(133,1)}
        60:{1,4,5}:{(38,1),(42,1),(86,1)}
        61:{1,3,5,6}:{(38,1),(40,1),(43,1),(84,1),(86,1),(88,1),(89,1),(98,1),(139,1),(145,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(87,1),(89,1)}
        63:{1,2,5,7}:{(40,1),(85,1),(88,1),(90,1),(99,1),(165,1)}
        64:{1,2,6}:{(41,1),(89,1)}
        65:{3,4,5}:{(42,1),(91,1)}
        66:{2,4,6}:{(42,1),(43,1),(51,1),(86,1),(91,1),(94,1)}
        67:{2,4,5,7}:{(42,1),(44,1),(52,1),(87,1),(92,1),(94,1),(95,1),(144,1)}
        68:{2,3,5,7}:{(43,1),(53,1),(88,1),(94,1),(96,1),(101,1),(134,1),(140,1),(144,1),(147,1),(165,1)}
        69:{2,3,6}:{(44,1),(54,1),(89,1),(95,1)}
        70:{1,3,5}:{(45,1),(46,1),(47,1),(97,1),(98,1)}
        71:{1,2,6}:{(46,1),(98,1),(99,1)}
        72:{2,4,5}:{(47,1),(48,1),(97,1),(100,1)}
        73:{2,3,6}:{(47,1),(49,1),(98,1),(100,1),(101,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(91,1),(100,1),(102,1),(103,1)}
        75:{1,3,7}:{(49,1),(50,1),(101,1)}
        76:{1,4,5,6}:{(51,1),(93,1),(102,1),(104,1),(106,1),(163,1)}
        77:{1,4,7}:{(51,1),(53,1),(94,1)}
        78:{1,4,6}:{(52,1),(54,1),(95,1),(106,1)}
        79:{1,3,6,7}:{(53,1),(54,1),(55,1),(96,1),(105,1),(174,1)}
        80:{1,3,4}:{(56,1),(57,1),(107,1)}
        81:{1,2,5}:{(56,1),(107,1),(108,1)}
        82:{2,3,5}:{(57,1),(58,1),(107,1),(109,1),(110,1)}
        83:{1,3,4,5}:{(58,1),(60,1),(65,1),(109,1),(111,1)}
        84:{1,3,6}:{(58,1),(59,1),(110,1),(112,1)}
        85:{1,2,4,7}:{(59,1),(63,1),(112,1),(114,1),(153,1)}
        86:{1,4,6}:{(60,1),(61,1),(66,1),(114,1)}
        87:{1,4,5,7}:{(60,1),(62,1),(67,1),(114,1),(115,1),(156,1)}
        88:{1,3,5,7}:{(61,1),(63,1),(68,1),(112,1),(114,1),(116,1),(124,1),(156,1),(161,1)}
        89:{1,3,6}:{(62,1),(64,1),(69,1),(115,1)}
        90:{1,2,6,7}:{(63,1),(64,1),(116,1),(172,1)}
        91:{3,4,6}:{(65,1),(66,1),(117,1),(118,1)}
        92:{3,4,5,7}:{(65,1),(67,1),(118,1),(119,1),(158,1)}
        93:{2,4,5,6}:{(66,1),(76,1),(113,1),(117,1),(120,1),(122,1),(125,1),(152,1),(159,1)}
        94:{2,4,7}:{(66,1),(68,1),(77,1),(114,1),(118,1)}
        95:{2,4,6}:{(67,1),(69,1),(78,1),(115,1),(119,1),(122,1)}
        96:{2,3,6,7}:{(68,1),(69,1),(79,1),(116,1),(121,1),(157,1),(162,1),(172,1)}
        97:{1,4,5}:{(70,1),(72,1),(123,1)}
        98:{1,3,6}:{(70,1),(71,1),(73,1),(123,1),(124,1)}
        99:{1,2,7}:{(71,1),(124,1)}
       100:{2,4,6}:{(72,1),(73,1),(74,1),(123,1),(125,1),(126,1)}
       101:{2,3,7}:{(73,1),(75,1),(124,1),(126,1)}
       102:{1,3,5,6}:{(74,1),(76,1),(117,1),(125,1),(127,1)}
       103:{1,3,4,7}:{(74,1),(75,1),(77,1),(118,1),(126,1),(127,1)}
       104:{1,4,5,7}:{(76,1),(77,1),(120,1),(127,1),(128,1),(129,1),(171,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(79,1),(121,1),(129,1)}
       106:{1,5,6}:{(78,1),(122,1),(129,1)}
       107:{1,3,5}:{(80,1),(81,1),(82,1),(130,1),(131,1)}
       108:{1,2,6}:{(81,1),(131,1),(132,1)}
       109:{2,4,5}:{(82,1),(83,1),(130,1),(133,1)}
       110:{2,3,6}:{(82,1),(84,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(86,1),(91,1),(133,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(134,1)}
       113:{1,4,5,6}:{(86,1),(93,1),(135,1),(137,1),(139,1),(145,1)}
       114:{1,4,7}:{(86,1),(88,1),(94,1)}
       115:{1,4,6}:{(87,1),(89,1),(95,1),(139,1)}
       116:{1,3,6,7}:{(88,1),(89,1),(90,1),(96,1),(138,1),(170,1)}
       117:{3,5,6}:{(91,1),(93,1),(140,1)}
       118:{3,4,7}:{(91,1),(94,1),(140,1)}
       119:{3,4,6}:{(92,1),(95,1),(142,1)}
       120:{2,4,5,7}:{(93,1),(94,1),(104,1),(137,1),(140,1),(143,1),(144,1),(147,1),(165,1),(169,1)}
       121:{2,4,6,7}:{(94,1),(95,1),(96,1),(105,1),(138,1),(141,1),(144,1)}
       122:{2,5,6}:{(95,1),(106,1),(139,1),(142,1),(144,1)}
       123:{1,4,6}:{(97,1),(98,1),(100,1),(145,1),(146,1)}
       124:{1,3,7}:{(98,1),(99,1),(101,1),(146,1)}
       125:{2,5,6}:{(100,1),(102,1),(145,1),(147,1)}
       126:{2,4,7}:{(100,1),(101,1),(103,1),(146,1),(147,1)}
       127:{1,3,5,7}:{(102,1),(103,1),(104,1),(140,1),(147,1),(148,1)}
       128:{1,4,6,7}:{(104,1),(143,1),(148,1),(149,1),(174,1)}
       129:{1,5,7}:{(105,1),(106,1),(144,1)}
       130:{1,4,5}:{(107,1),(109,1),(150,1)}
       131:{1,3,6}:{(107,1),(108,1),(110,1),(150,1),(151,1)}
       132:{1,2,7}:{(108,1),(151,1)}
       133:{2,4,6}:{(109,1),(110,1),(111,1),(150,1),(152,1),(153,1)}
       134:{2,3,7}:{(110,1),(112,1),(151,1),(153,1)}
       135:{1,3,5,6}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       136:{1,3,4,7}:{(111,1),(112,1),(114,1),(118,1),(153,1),(154,1)}
       137:{1,4,5,7}:{(113,1),(114,1),(120,1),(154,1),(155,1),(156,1),(161,1)}
       138:{1,4,6,7}:{(114,1),(115,1),(116,1),(121,1),(156,1)}
       139:{1,5,6}:{(115,1),(122,1),(156,1)}
       140:{3,5,7}:{(117,1),(118,1),(120,1),(157,1)}
       141:{3,4,6,7}:{(118,1),(119,1),(121,1),(157,1),(158,1),(173,1)}
       142:{3,5,6}:{(119,1),(122,1),(158,1),(159,1)}
       143:{2,4,6,7}:{(120,1),(128,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       144:{2,5,7}:{(121,1),(122,1),(129,1),(156,1),(158,1)}
       145:{1,5,6}:{(123,1),(125,1),(161,1)}
       146:{1,4,7}:{(123,1),(124,1),(126,1),(161,1)}
       147:{2,5,7}:{(125,1),(126,1),(127,1),(161,1),(162,1)}
       148:{1,3,6,7}:{(127,1),(128,1),(157,1),(162,1)}
       149:{1,5,6,7}:{(128,1),(129,1),(160,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(163,1),(164,1)}
       151:{1,3,7}:{(131,1),(132,1),(134,1),(164,1)}
       152:{2,5,6}:{(133,1),(135,1),(163,1),(165,1)}
       153:{2,4,7}:{(133,1),(134,1),(136,1),(164,1),(165,1)}
       154:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(165,1),(166,1)}
       155:{1,4,6,7}:{(137,1),(143,1),(166,1),(167,1),(170,1)}
       156:{1,5,7}:{(138,1),(139,1),(144,1)}
       157:{3,6,7}:{(140,1),(143,1)}
       158:{3,5,7}:{(141,1),(142,1),(144,1),(169,1)}
       159:{4,5,6}:{(142,1),(169,1)}
       160:{2,5,6,7}:{(143,1),(144,1),(149,1),(167,1),(168,1)}
       161:{1,5,7}:{(145,1),(146,1),(147,1),(170,1)}
       162:{2,6,7}:{(147,1),(148,1),(170,1)}
       163:{1,5,6}:{(150,1),(152,1),(171,1)}
       164:{1,4,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,3,6,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,5,6,7}:{(155,1),(156,1),(160,1)}
       168:{3,5,6,7}:{(157,1),(158,1),(160,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(161,1),(162,1)}
       171:{1,5,7}:{(163,1),(164,1),(165,1),(174,1)}
       172:{2,6,7}:{(165,1),(166,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1531 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(170,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(63,1),(145,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(119,1)}
         4:{1,3,4,7}:{(1,1),(10,1),(11,1),(12,1),(82,1),(85,1),(160,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(122,1),(161,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(43,1)}
         8:{1,2,4,7}:{(3,1),(16,1),(17,1),(18,1),(154,1)}
         9:{1,2,3,6}:{(3,1),(18,1),(19,1),(95,1),(113,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(102,1),(110,1),(142,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(24,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(60,1),(63,1),(97,1),(143,1)}
        13:{1,2,6}:{(5,1),(23,1)}
        14:{1,2,5}:{(6,1),(24,1)}
        15:{1,2,4}:{(7,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(10,1),(29,1),(30,1),(116,1),(119,1),(134,1)}
        17:{1,2,5,7}:{(8,1),(29,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(88,1),(135,1)}
        19:{1,2,3,5}:{(9,1),(32,1),(33,1),(72,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(30,1),(35,1),(36,1),(44,1),(73,1),(78,1),(86,1),(120,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(37,1),(40,1),(80,1),(82,1)}
        23:{1,3,6}:{(11,1),(13,1),(35,1),(37,1)}
        24:{1,3,5}:{(12,1),(14,1),(36,1),(40,1)}
        25:{1,2,6,7}:{(13,1),(38,1),(41,1),(164,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(39,1),(41,1),(42,1),(131,1),(161,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(42,1),(43,1),(84,1)}
        28:{1,3,4}:{(15,1),(43,1),(44,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(45,1),(46,1),(47,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(46,1),(47,1),(51,1),(65,1),(92,1),(95,1),(111,1)}
        31:{1,2,6}:{(17,1),(46,1)}
        32:{1,2,5}:{(18,1),(47,1)}
        33:{1,2,4}:{(19,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(45,1),(52,1),(53,1),(56,1),(100,1),(102,1)}
        35:{2,3,6}:{(20,1),(23,1),(46,1),(53,1)}
        36:{2,3,5}:{(21,1),(24,1),(47,1),(56,1)}
        37:{1,4,6}:{(22,1),(23,1),(53,1),(58,1)}
        38:{1,3,6,7}:{(23,1),(25,1),(54,1),(57,1),(59,1),(174,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(26,1),(55,1),(58,1),(59,1),(60,1),(63,1),(143,1),(168,1)}
        40:{1,4,5}:{(24,1),(56,1),(60,1)}
        41:{1,2,5,7}:{(25,1),(26,1),(59,1),(62,1),(151,1),(170,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(60,1),(62,1),(63,1),(108,1)}
        43:{1,3,5}:{(27,1),(28,1),(63,1),(64,1)}
        44:{2,3,4}:{(28,1),(64,1),(65,1)}
        45:{1,4,5,7}:{(29,1),(34,1),(66,1),(69,1),(114,1),(116,1)}
        46:{1,3,6}:{(29,1),(31,1),(35,1),(66,1)}
        47:{1,3,5}:{(30,1),(32,1),(36,1),(69,1)}
        48:{1,2,6,7}:{(31,1),(67,1),(70,1),(172,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(68,1),(70,1),(71,1),(135,1),(157,1)}
        50:{1,2,4,5}:{(32,1),(33,1),(69,1),(71,1),(72,1),(118,1)}
        51:{1,3,4}:{(33,1),(72,1),(73,1)}
        52:{3,4,5,7}:{(34,1),(74,1),(79,1),(123,1),(128,1)}
        53:{2,4,6}:{(34,1),(35,1),(37,1),(66,1),(74,1),(76,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(67,1),(75,1),(77,1),(163,1),(164,1),(172,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(68,1),(76,1),(77,1),(78,1),(86,1),(120,1),(127,1),(131,1),(157,1)}
        56:{2,4,5}:{(36,1),(40,1),(69,1),(78,1),(79,1)}
        57:{1,4,6,7}:{(37,1),(38,1),(75,1),(80,1),(82,1)}
        58:{1,5,6}:{(37,1),(76,1),(80,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(41,1),(77,1),(80,1),(82,1),(85,1),(160,1),(173,1)}
        60:{1,4,6}:{(39,1),(40,1),(78,1),(82,1)}
        61:{1,3,4,5}:{(40,1),(43,1),(79,1),(83,1),(84,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(82,1),(85,1),(132,1)}
        63:{1,3,6}:{(42,1),(43,1),(85,1),(86,1)}
        64:{2,3,5}:{(43,1),(44,1),(84,1),(86,1),(87,1)}
        65:{1,3,4}:{(44,1),(87,1),(88,1)}
        66:{1,4,6}:{(45,1),(46,1),(53,1),(90,1)}
        67:{1,3,6,7}:{(46,1),(48,1),(54,1),(89,1),(91,1),(171,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(55,1),(90,1),(91,1),(92,1),(95,1),(111,1),(152,1)}
        69:{1,4,5}:{(47,1),(56,1),(92,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(91,1),(94,1),(154,1),(167,1)}
        71:{1,2,4,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(140,1)}
        72:{1,3,5}:{(50,1),(51,1),(95,1),(96,1)}
        73:{2,3,4}:{(51,1),(96,1),(97,1)}
        74:{3,4,6}:{(52,1),(53,1),(99,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(57,1),(89,1),(98,1),(100,1),(102,1)}
        76:{2,5,6}:{(53,1),(58,1),(90,1),(99,1),(100,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(59,1),(91,1),(100,1),(102,1),(110,1),(142,1),(149,1),(151,1),(167,1)}
        78:{2,4,6}:{(55,1),(56,1),(60,1),(92,1),(102,1),(103,1)}
        79:{3,4,5}:{(56,1),(103,1)}
        80:{1,5,7}:{(57,1),(58,1),(100,1)}
        81:{1,4,5,6}:{(58,1),(60,1),(101,1),(105,1),(106,1),(168,1)}
        82:{1,4,7}:{(59,1),(60,1),(102,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(103,1),(106,1),(107,1),(108,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(109,1)}
        85:{1,3,7}:{(62,1),(63,1),(110,1)}
        86:{2,3,6}:{(63,1),(64,1),(108,1),(110,1),(111,1)}
        87:{1,3,5}:{(64,1),(65,1),(109,1),(111,1),(112,1)}
        88:{1,2,4}:{(65,1),(112,1),(113,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(75,1),(114,1),(116,1)}
        90:{1,5,6}:{(66,1),(76,1),(114,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(114,1),(116,1),(119,1),(134,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(78,1),(116,1)}
        93:{1,3,4,5}:{(69,1),(72,1),(79,1),(117,1),(118,1)}
        94:{1,2,4,7}:{(70,1),(71,1),(116,1),(119,1),(158,1)}
        95:{1,3,6}:{(71,1),(72,1),(119,1),(120,1)}
        96:{2,3,5}:{(72,1),(73,1),(118,1),(120,1),(121,1)}
        97:{1,3,4}:{(73,1),(121,1),(122,1)}
        98:{3,4,6,7}:{(74,1),(75,1),(123,1),(128,1),(162,1),(163,1)}
        99:{3,5,6}:{(74,1),(76,1),(123,1),(124,1)}
       100:{2,5,7}:{(75,1),(76,1),(80,1),(114,1),(123,1)}
       101:{2,4,5,6}:{(76,1),(78,1),(81,1),(115,1),(124,1),(126,1),(127,1),(131,1),(157,1)}
       102:{2,4,7}:{(77,1),(78,1),(82,1),(116,1),(128,1)}
       103:{3,4,6}:{(78,1),(79,1),(127,1),(128,1)}
       104:{1,5,6,7}:{(80,1),(125,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(82,1),(126,1),(129,1),(130,1),(173,1)}
       106:{1,3,5,6}:{(81,1),(83,1),(127,1),(130,1),(131,1)}
       107:{1,3,4,7}:{(82,1),(83,1),(85,1),(128,1),(130,1),(132,1)}
       108:{2,4,6}:{(83,1),(84,1),(86,1),(131,1),(132,1),(133,1)}
       109:{1,4,5}:{(84,1),(87,1),(133,1)}
       110:{2,3,7}:{(85,1),(86,1),(132,1),(134,1)}
       111:{1,3,6}:{(86,1),(87,1),(133,1),(134,1),(135,1)}
       112:{1,2,5}:{(87,1),(88,1),(135,1)}
       113:{1,2,3}:{(88,1)}
       114:{1,5,7}:{(89,1),(90,1),(100,1)}
       115:{1,4,5,6}:{(90,1),(92,1),(101,1),(137,1),(138,1),(152,1)}
       116:{1,4,7}:{(91,1),(92,1),(102,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(95,1),(103,1),(138,1),(139,1),(140,1)}
       118:{2,4,5}:{(93,1),(96,1),(140,1),(141,1)}
       119:{1,3,7}:{(94,1),(95,1),(142,1)}
       120:{2,3,6}:{(95,1),(96,1),(140,1),(142,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(141,1),(143,1),(144,1)}
       122:{1,2,4}:{(97,1),(144,1),(145,1)}
       123:{3,5,7}:{(98,1),(99,1),(100,1),(147,1)}
       124:{4,5,6}:{(99,1),(147,1)}
       125:{2,5,6,7}:{(100,1),(104,1),(136,1),(146,1),(148,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(137,1),(147,1),(148,1),(149,1),(151,1),(167,1)}
       127:{3,5,6}:{(101,1),(103,1),(149,1)}
       128:{3,4,7}:{(102,1),(103,1),(149,1)}
       129:{1,4,6,7}:{(104,1),(105,1),(148,1),(150,1),(174,1)}
       130:{1,3,5,7}:{(105,1),(106,1),(107,1),(149,1),(150,1),(151,1)}
       131:{2,5,6}:{(106,1),(108,1),(151,1),(152,1)}
       132:{2,4,7}:{(107,1),(108,1),(110,1),(151,1),(153,1)}
       133:{1,4,6}:{(108,1),(109,1),(111,1),(152,1),(153,1)}
       134:{1,3,7}:{(110,1),(111,1),(153,1),(154,1)}
       135:{1,2,6}:{(111,1),(112,1),(154,1)}
       136:{1,5,6,7}:{(114,1),(125,1),(155,1)}
       137:{1,4,5,7}:{(114,1),(115,1),(116,1),(126,1),(155,1),(156,1),(165,1)}
       138:{1,3,5,6}:{(115,1),(117,1),(127,1),(156,1),(157,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(119,1),(128,1),(156,1),(158,1)}
       140:{2,4,6}:{(117,1),(118,1),(120,1),(157,1),(158,1),(159,1)}
       141:{1,4,5}:{(118,1),(121,1),(159,1)}
       142:{2,3,7}:{(119,1),(120,1),(158,1),(160,1)}
       143:{1,3,6}:{(120,1),(121,1),(159,1),(160,1),(161,1)}
       144:{1,2,5}:{(121,1),(122,1),(161,1)}
       145:{1,2,3}:{(122,1)}
       146:{3,5,6,7}:{(123,1),(125,1),(162,1),(163,1)}
       147:{4,5,7}:{(123,1),(124,1),(162,1)}
       148:{2,4,6,7}:{(125,1),(126,1),(129,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(126,1),(127,1),(128,1),(163,1)}
       150:{1,3,6,7}:{(129,1),(130,1),(163,1),(164,1)}
       151:{2,5,7}:{(130,1),(131,1),(132,1),(164,1),(165,1)}
       152:{1,5,6}:{(131,1),(133,1),(165,1)}
       153:{1,4,7}:{(132,1),(133,1),(134,1),(165,1)}
       154:{1,2,7}:{(134,1),(135,1)}
       155:{1,4,6,7}:{(136,1),(137,1),(148,1),(166,1),(171,1)}
       156:{1,3,5,7}:{(137,1),(138,1),(139,1),(149,1),(166,1),(167,1)}
       157:{2,5,6}:{(138,1),(140,1),(167,1),(168,1)}
       158:{2,4,7}:{(139,1),(140,1),(142,1),(167,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1),(168,1),(169,1)}
       160:{1,3,7}:{(142,1),(143,1),(169,1),(170,1)}
       161:{1,2,6}:{(143,1),(144,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(156,1),(163,1),(172,1)}
       167:{2,5,7}:{(156,1),(157,1),(158,1),(172,1),(173,1)}
       168:{1,5,6}:{(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1532 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1533 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1534 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1535 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(30,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(37,1),(41,1),(44,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(43,1)}
         3:{2,5,6,7}:{(1,1),(7,1),(27,1),(52,1),(60,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(59,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(88,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(29,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(13,1),(14,1),(78,1)}
         8:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(16,1),(41,1),(68,1)}
         9:{1,3,4,6,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(35,1),(37,1),(38,1),(68,1),(109,1)}
        10:{2,4,5,6}:{(5,1),(15,1),(18,1),(39,1),(43,1),(106,1),(153,1)}
        11:{3,5,7}:{(5,1),(6,1),(18,1),(109,1)}
        12:{2,3,4,6,7}:{(6,1),(17,1),(20,1),(21,1),(43,1),(67,1),(70,1),(71,1),(109,1),(110,1),(152,1),(160,1)}
        13:{2,4,5,7}:{(7,1),(8,1),(22,1),(23,1),(27,1),(50,1)}
        14:{3,6,7}:{(7,1),(23,1),(98,1)}
        15:{1,4,5,6}:{(8,1),(10,1),(22,1),(25,1),(54,1),(59,1),(85,1),(138,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(11,1),(23,1),(25,1),(27,1)}
        17:{2,4,6,7}:{(9,1),(24,1),(27,1),(28,1),(50,1),(52,1),(53,1),(88,1)}
        18:{3,5,6}:{(10,1),(11,1),(29,1),(128,1),(175,1)}
        19:{3,4,5,7}:{(11,1),(29,1),(31,1),(132,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(27,1),(30,1),(31,1),(32,1),(175,1),(183,1)}
        21:{1,3,4,6,7}:{(12,1),(28,1),(32,1),(33,1),(58,1),(59,1),(87,1),(91,1),(96,1),(98,1),(100,1),(137,1),(182,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(39,1),(65,1),(78,1),(121,1)}
        23:{3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(36,1),(37,1),(71,1),(109,1)}
        25:{1,3,5,6}:{(15,1),(16,1),(18,1),(34,1),(38,1),(39,1),(161,1)}
        26:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(38,1),(40,1),(45,1),(64,1),(68,1),(74,1),(80,1),(104,1),(109,1),(117,1),(149,1),(161,1)}
        27:{2,5,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,4,6,7}:{(17,1),(37,1),(41,1),(68,1),(72,1)}
        29:{3,4,6}:{(18,1),(19,1),(43,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(39,1),(43,1),(44,1),(71,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(43,1),(45,1),(110,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(41,1),(44,1),(45,1),(46,1),(80,1),(161,1),(202,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(78,1),(81,1),(108,1),(112,1),(160,1)}
        34:{3,5,6}:{(22,1),(23,1),(48,1),(98,1),(144,1)}
        35:{3,4,7}:{(23,1),(48,1),(50,1)}
        36:{2,3,5,7}:{(23,1),(24,1),(27,1),(49,1),(50,1),(51,1)}
        37:{1,3,6,7}:{(24,1),(28,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6}:{(25,1),(26,1),(29,1),(48,1),(53,1),(59,1),(85,1),(91,1),(98,1),(128,1)}
        39:{2,5,6}:{(25,1),(27,1),(53,1),(54,1),(183,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(55,1),(56,1),(83,1),(88,1),(94,1),(126,1),(140,1),(183,1)}
        41:{1,5,7}:{(27,1),(28,1),(54,1)}
        42:{1,2,4,6,7}:{(28,1),(33,1),(52,1),(57,1),(58,1),(88,1),(90,1),(92,1),(96,1),(130,1),(135,1),(182,1),(220,1),(237,1),(243,1)}
        43:{2,4,6}:{(29,1),(30,1),(31,1),(59,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(54,1),(59,1),(60,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(59,1),(61,1),(96,1),(138,1)}
        46:{2,5,7}:{(32,1),(33,1),(60,1),(183,1)}
        47:{2,3,6,7}:{(33,1),(58,1),(62,1),(98,1),(131,1),(136,1),(237,1)}
        48:{3,4,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(39,1),(65,1),(66,1),(71,1),(103,1)}
        50:{2,4,7}:{(35,1),(36,1),(65,1),(68,1)}
        51:{1,3,5,7}:{(36,1),(37,1),(41,1),(66,1),(68,1),(69,1),(109,1)}
        52:{2,6,7}:{(37,1),(69,1),(112,1)}
        53:{2,4,6}:{(38,1),(39,1),(40,1),(71,1),(72,1),(112,1)}
        54:{1,5,6}:{(39,1),(41,1),(72,1),(202,1)}
        55:{2,3,5,7}:{(40,1),(67,1),(71,1),(74,1),(80,1),(103,1),(109,1),(149,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(68,1),(72,1),(74,1),(104,1),(163,1),(202,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(46,1),(69,1),(73,1),(76,1),(111,1),(202,1),(230,1),(241,1)}
        58:{1,3,6,7}:{(42,1),(47,1),(70,1),(76,1),(109,1),(113,1),(154,1),(159,1),(244,1)}
        59:{1,4,6}:{(43,1),(44,1),(45,1),(78,1)}
        60:{2,5,6}:{(44,1),(46,1),(78,1),(112,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(78,1),(80,1),(81,1),(121,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(76,1),(79,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(77,1),(81,1),(82,1),(120,1),(123,1),(155,1),(160,1),(169,1),(200,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(144,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(50,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(54,1),(85,1),(86,1),(91,1),(125,1),(128,1)}
        67:{2,3,4,7}:{(50,1),(55,1),(84,1),(87,1),(100,1),(140,1),(172,1),(177,1)}
        68:{1,4,7}:{(50,1),(51,1),(85,1),(88,1)}
        69:{2,5,7}:{(51,1),(52,1),(86,1),(88,1)}
        70:{2,3,6,7}:{(52,1),(58,1),(89,1),(90,1),(136,1),(177,1),(180,1)}
        71:{2,3,6}:{(53,1),(55,1),(91,1),(98,1),(128,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(91,1)}
        73:{1,2,5,6}:{(54,1),(57,1),(60,1),(86,1),(92,1),(93,1),(134,1),(135,1),(170,1),(183,1),(218,1),(235,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(87,1),(91,1),(94,1),(125,1)}
        75:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(92,1),(94,1),(95,1),(96,1),(126,1),(130,1),(133,1),(138,1),(140,1),(170,1),(183,1),(186,1),(208,1),(215,1),(232,1),(243,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(62,1),(89,1),(93,1),(96,1)}
        77:{1,3,4,6,7}:{(58,1),(63,1),(90,1),(96,1),(97,1),(132,1),(137,1),(142,1),(178,1),(180,1),(182,1),(216,1),(220,1)}
        78:{2,4,6}:{(59,1),(60,1),(61,1),(98,1)}
        79:{2,3,5,6}:{(60,1),(62,1),(93,1),(98,1),(99,1),(136,1),(144,1),(183,1),(207,1),(235,1),(242,1)}
        80:{3,5,7}:{(61,1),(98,1),(100,1),(144,1)}
        81:{2,4,7}:{(62,1),(96,1),(99,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(97,1),(101,1),(102,1),(144,1),(183,1),(189,1),(219,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(71,1),(103,1),(105,1),(120,1),(160,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(68,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(69,1),(106,1),(112,1),(148,1)}
        87:{1,3,4,7}:{(67,1),(68,1),(74,1),(105,1),(108,1),(109,1),(154,1),(163,1)}
        88:{2,4,7}:{(68,1),(69,1),(106,1),(109,1)}
        89:{2,3,5,7}:{(69,1),(70,1),(76,1),(107,1),(109,1),(110,1),(111,1),(156,1)}
        90:{2,4,6,7}:{(70,1),(77,1),(110,1),(111,1),(157,1),(160,1),(198,1),(228,1)}
        91:{1,3,6}:{(71,1),(72,1),(74,1),(112,1)}
        92:{1,2,4,6}:{(72,1),(73,1),(75,1),(78,1),(106,1),(112,1),(113,1),(114,1),(157,1),(160,1),(205,1),(228,1),(239,1)}
        93:{1,3,5,6}:{(73,1),(76,1),(79,1),(107,1),(113,1),(114,1),(159,1),(161,1),(190,1),(202,1)}
        94:{2,5,7}:{(74,1),(108,1),(112,1),(148,1)}
        95:{1,3,5,7}:{(75,1),(80,1),(109,1),(113,1),(116,1),(117,1),(149,1),(154,1),(156,1),(161,1),(190,1),(238,1),(244,1)}
        96:{1,4,7}:{(76,1),(81,1),(110,1),(114,1)}
        97:{1,3,5,7}:{(77,1),(82,1),(111,1),(118,1),(119,1),(156,1),(161,1),(202,1),(230,1)}
        98:{3,6}:{(78,1),(80,1)}
        99:{2,4,6}:{(79,1),(81,1),(114,1),(120,1),(121,1),(221,1)}
       100:{3,4,7}:{(80,1),(81,1),(120,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(118,1),(121,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(119,1),(123,1),(167,1),(200,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(144,1),(183,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(91,1),(125,1),(127,1),(128,1),(172,1),(173,1),(182,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(88,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(93,1),(128,1),(129,1),(134,1),(136,1),(171,1),(175,1),(180,1),(183,1)}
       108:{2,4,7}:{(87,1),(94,1),(127,1),(131,1)}
       109:{3,7}:{(88,1),(128,1)}
       110:{2,4,7}:{(89,1),(96,1),(129,1),(132,1)}
       111:{2,5,7}:{(90,1),(97,1),(134,1),(183,1)}
       112:{2,6}:{(91,1),(94,1)}
       113:{1,3,6}:{(92,1),(95,1),(98,1),(128,1),(136,1),(180,1),(242,1)}
       114:{1,4,6}:{(93,1),(96,1),(99,1),(129,1),(138,1),(208,1)}
       115:{1,2,5,7}:{(94,1),(130,1),(135,1),(139,1),(170,1),(215,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(131,1),(136,1),(139,1),(140,1),(171,1),(177,1),(183,1),(207,1),(215,1)}
       117:{1,3,4,7}:{(95,1),(96,1),(100,1),(132,1),(137,1),(140,1),(172,1),(208,1),(231,1)}
       118:{1,4,5,7}:{(96,1),(97,1),(101,1),(133,1),(138,1),(142,1)}
       119:{1,3,5,6}:{(97,1),(102,1),(134,1),(142,1),(180,1),(216,1),(218,1)}
       120:{3,4,6}:{(98,1),(99,1),(100,1),(144,1),(231,1),(242,1)}
       121:{2,4,5}:{(99,1),(138,1),(144,1),(183,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(144,1),(146,1),(189,1)}
       123:{2,4,6}:{(101,1),(102,1),(142,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(143,1),(147,1),(189,1),(217,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(202,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(112,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(109,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(114,1),(152,1),(153,1),(191,1)}
       130:{1,2,4,7}:{(108,1),(115,1),(150,1),(154,1),(163,1),(198,1)}
       131:{2,3,7}:{(108,1),(109,1),(151,1),(154,1)}
       132:{3,4,7}:{(109,1),(110,1),(152,1),(156,1)}
       133:{2,4,5,7}:{(110,1),(111,1),(118,1),(153,1),(156,1),(157,1)}
       134:{2,5,6}:{(111,1),(119,1),(157,1),(228,1)}
       135:{1,2,6}:{(112,1),(115,1),(159,1),(228,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(159,1),(160,1),(228,1)}
       137:{1,3,4,6}:{(113,1),(114,1),(117,1),(120,1),(152,1),(160,1),(161,1)}
       138:{1,4,5}:{(114,1),(121,1),(153,1),(161,1),(202,1)}
       139:{1,3,5,7}:{(115,1),(116,1),(154,1),(159,1),(163,1),(190,1),(202,1)}
       140:{2,4,7}:{(116,1),(117,1),(160,1),(163,1),(191,1),(221,1)}
       141:{1,3,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(161,1),(164,1),(165,1),(192,1),(199,1),(204,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       142:{1,4,6}:{(118,1),(119,1),(123,1),(157,1)}
       143:{1,3,5,6,7}:{(119,1),(124,1),(158,1),(166,1),(201,1),(204,1),(229,1),(230,1)}
       144:{3,5}:{(120,1),(121,1)}
       145:{2,4,5,6}:{(121,1),(123,1),(162,1),(167,1),(168,1),(203,1),(239,1)}
       146:{3,4,6}:{(122,1),(123,1),(167,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(135,1),(170,1),(173,1),(182,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(131,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(132,1),(172,1),(175,1),(180,1)}
       153:{2,4,5}:{(129,1),(138,1),(175,1),(183,1)}
       154:{1,3,7}:{(130,1),(131,1),(173,1),(177,1)}
       155:{2,3,4,7}:{(131,1),(132,1),(140,1),(174,1),(178,1),(179,1),(231,1),(234,1)}
       156:{3,5,7}:{(132,1),(133,1),(175,1),(180,1)}
       157:{2,4,6}:{(133,1),(134,1),(142,1),(180,1)}
       158:{2,5,6,7}:{(134,1),(143,1),(181,1),(219,1),(237,1)}
       159:{1,3,6}:{(135,1),(136,1),(139,1),(182,1)}
       160:{2,4,6}:{(136,1),(137,1),(140,1),(182,1),(183,1)}
       161:{1,3,5}:{(137,1),(138,1),(144,1),(175,1),(183,1)}
       162:{1,4,5,6}:{(138,1),(142,1),(145,1),(176,1),(184,1),(185,1),(218,1),(233,1)}
       163:{1,4,7}:{(139,1),(140,1),(182,1),(208,1)}
       164:{2,4,5,7}:{(140,1),(141,1),(179,1),(183,1),(186,1),(187,1),(209,1),(215,1),(219,1),(232,1),(234,1),(243,1)}
       165:{1,3,4,6}:{(141,1),(142,1),(146,1),(180,1),(184,1),(187,1),(210,1),(216,1),(233,1),(242,1)}
       166:{1,4,6,7}:{(142,1),(143,1),(147,1),(181,1),(185,1)}
       167:{3,5,6}:{(144,1),(145,1),(146,1),(189,1),(242,1)}
       168:{2,4,5,7}:{(145,1),(147,1),(185,1),(189,1),(219,1),(243,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(189,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(202,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(154,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(160,1),(191,1),(194,1),(195,1),(200,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(162,1),(196,1),(197,1),(203,1),(223,1)}
       177:{2,3,7}:{(154,1),(193,1),(198,1),(244,1)}
       178:{1,3,4,7}:{(154,1),(155,1),(163,1),(194,1),(198,1),(199,1),(240,1),(244,1)}
       179:{2,3,5,7}:{(155,1),(156,1),(164,1),(195,1),(199,1),(200,1),(238,1),(244,1)}
       180:{3,6}:{(156,1),(157,1)}
       181:{2,4,6,7}:{(157,1),(158,1),(166,1),(197,1),(201,1)}
       182:{1,4,6}:{(159,1),(160,1),(163,1),(202,1)}
       183:{2,5}:{(160,1),(161,1),(202,1)}
       184:{1,3,5,6}:{(161,1),(162,1),(165,1),(167,1),(196,1),(203,1),(204,1)}
       185:{1,4,5,7}:{(162,1),(166,1),(168,1),(197,1),(204,1),(230,1),(240,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(199,1),(202,1),(205,1),(222,1),(230,1),(240,1)}
       187:{2,4,6}:{(164,1),(165,1),(200,1),(203,1),(205,1),(228,1)}
       188:{1,3,4,6,7}:{(165,1),(166,1),(169,1),(201,1),(204,1),(206,1),(224,1),(229,1),(240,1),(244,1)}
       189:{3,5,7}:{(167,1),(168,1),(169,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(177,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(178,1),(182,1),(208,1),(211,1),(212,1),(216,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(183,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(180,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(181,1),(185,1),(214,1),(219,1),(234,1)}
       198:{2,4,7}:{(177,1),(178,1),(211,1),(215,1)}
       199:{1,3,5,7}:{(178,1),(179,1),(186,1),(212,1),(215,1),(216,1)}
       200:{2,3,6}:{(179,1),(180,1),(187,1),(216,1),(242,1)}
       201:{3,6,7}:{(180,1),(181,1),(214,1)}
       202:{1,5}:{(182,1),(183,1)}
       203:{2,5,6}:{(183,1),(184,1),(187,1),(218,1),(219,1)}
       204:{1,3,5,7}:{(184,1),(185,1),(188,1),(189,1),(214,1),(219,1)}
       205:{1,4,6}:{(186,1),(187,1),(216,1),(218,1)}
       206:{2,4,6,7}:{(187,1),(188,1),(217,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(198,1),(221,1),(225,1),(228,1)}
       212:{1,3,5}:{(194,1),(195,1),(202,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(200,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(201,1),(224,1)}
       215:{2,5,7}:{(198,1),(199,1),(225,1),(228,1)}
       216:{1,3,6}:{(199,1),(200,1),(205,1),(228,1)}
       217:{2,3,6,7}:{(200,1),(201,1),(206,1),(227,1),(229,1),(244,1)}
       218:{1,5,6}:{(202,1),(203,1),(205,1),(230,1)}
       219:{2,5,7}:{(203,1),(204,1),(206,1),(230,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(229,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(216,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(217,1),(219,1),(234,1),(236,1)}
       228:{2,6}:{(215,1),(216,1)}
       229:{1,3,6,7}:{(216,1),(217,1),(220,1),(236,1),(237,1)}
       230:{1,5,7}:{(218,1),(219,1),(220,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(228,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(229,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(228,1),(229,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1536 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1537 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1538 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1539 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(88,1)}
         1:{1,3,4,5}:{(0,1),(3,1),(4,1),(14,1),(76,1),(80,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(40,1),(74,1)}
         3:{2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(27,1),(60,1),(65,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(57,1),(91,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1),(39,1),(72,1),(76,1)}
         8:{2,3,5}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(19,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(19,1),(21,1),(43,1),(78,1),(83,1)}
        12:{2,4,5,6}:{(5,1),(20,1),(22,1),(23,1),(74,1),(120,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5}:{(7,1),(8,1),(25,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(55,1),(60,1)}
        16:{2,3,4}:{(8,1),(26,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1),(32,1)}
        18:{2,5,6}:{(9,1),(10,1),(34,1)}
        19:{2,4,7}:{(9,1),(11,1),(32,1),(34,1)}
        20:{1,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(60,1),(116,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(13,1),(34,1),(35,1),(36,1),(68,1)}
        22:{3,4,5,6}:{(12,1),(37,1),(90,1),(123,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(91,1),(115,1)}
        24:{2,3,6,7}:{(13,1),(36,1),(38,1)}
        25:{2,3,5}:{(14,1),(39,1),(40,1),(72,1)}
        26:{1,3,4}:{(14,1),(16,1),(39,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(40,1),(43,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(44,1),(72,1),(103,1)}
        29:{1,2,4,7}:{(15,1),(19,1),(43,1),(44,1),(73,1),(78,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(47,1),(82,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(49,1),(82,1),(109,1)}
        32:{2,3,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6}:{(18,1),(20,1),(47,1),(49,1),(50,1),(109,1),(122,1)}
        34:{2,5,7}:{(18,1),(19,1),(21,1),(51,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(50,1),(52,1),(78,1),(107,1)}
        36:{1,3,6,7}:{(21,1),(24,1),(51,1),(52,1),(85,1)}
        37:{3,4,5,7}:{(22,1),(23,1),(53,1),(104,1),(121,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(52,1),(53,1),(54,1)}
        39:{2,4}:{(25,1),(26,1)}
        40:{2,3,6}:{(25,1),(27,1),(55,1),(57,1)}
        41:{1,3,4,6}:{(26,1),(27,1),(30,1),(55,1),(58,1),(59,1),(60,1),(90,1),(94,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(31,1),(56,1),(58,1),(60,1),(61,1),(94,1),(116,1)}
        43:{1,3,7}:{(27,1),(29,1),(32,1),(57,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(34,1),(61,1),(62,1),(89,1)}
        45:{2,3,5}:{(30,1),(58,1),(63,1)}
        46:{2,3,4,7}:{(30,1),(32,1),(59,1),(64,1),(66,1)}
        47:{2,4,6}:{(31,1),(60,1),(63,1),(65,1),(66,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(66,1),(67,1),(68,1),(99,1)}
        49:{3,5,6}:{(33,1),(65,1),(68,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(35,1),(66,1),(68,1),(69,1),(99,1),(118,1)}
        51:{2,6,7}:{(34,1),(36,1)}
        52:{1,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(70,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(71,1)}
        54:{2,5,6,7}:{(38,1),(70,1),(71,1),(115,1)}
        55:{2,4,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(103,1)}
        56:{2,3,5,6}:{(40,1),(42,1),(72,1),(74,1),(75,1),(101,1),(103,1),(119,1),(120,1)}
        57:{2,3,7}:{(40,1),(43,1),(73,1)}
        58:{1,3,5}:{(41,1),(45,1),(72,1),(76,1),(101,1)}
        59:{1,3,4,7}:{(41,1),(43,1),(46,1),(73,1),(77,1),(78,1),(104,1)}
        60:{1,4,6}:{(42,1),(47,1),(74,1),(76,1),(78,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(44,1),(48,1),(75,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(51,1),(79,1),(103,1)}
        63:{2,4,5}:{(45,1),(47,1),(76,1),(80,1)}
        64:{2,3,5,7}:{(45,1),(46,1),(77,1),(81,1),(82,1)}
        65:{3,4,6}:{(47,1),(49,1),(80,1),(83,1)}
        66:{2,4,7}:{(47,1),(48,1),(78,1),(83,1)}
        67:{2,3,6,7}:{(48,1),(51,1),(79,1),(82,1),(84,1),(85,1)}
        68:{3,5,7}:{(49,1),(50,1),(83,1),(85,1)}
        69:{2,4,6,7}:{(50,1),(51,1),(52,1),(85,1),(86,1),(111,1)}
        70:{1,5,6,7}:{(52,1),(54,1),(86,1),(107,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(121,1)}
        72:{2,5}:{(55,1),(58,1)}
        73:{2,4,7}:{(55,1),(57,1),(59,1),(89,1)}
        74:{2,4,6}:{(56,1),(60,1),(88,1),(90,1),(91,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(61,1),(89,1),(91,1),(92,1),(112,1),(115,1)}
        76:{1,4,5}:{(58,1),(60,1),(63,1),(88,1)}
        77:{1,3,5,7}:{(58,1),(59,1),(64,1),(89,1),(93,1),(94,1),(112,1)}
        78:{1,4,7}:{(60,1),(61,1),(66,1),(91,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(67,1),(92,1),(94,1),(95,1)}
        80:{3,4,5}:{(63,1),(65,1)}
        81:{2,4,5,7}:{(63,1),(64,1),(66,1),(93,1),(96,1),(97,1),(99,1)}
        82:{2,3,6}:{(64,1),(94,1),(97,1)}
        83:{3,4,7}:{(65,1),(66,1),(68,1)}
        84:{2,4,6,7}:{(66,1),(67,1),(95,1),(97,1),(98,1),(99,1)}
        85:{3,6,7}:{(68,1),(69,1)}
        86:{2,5,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        87:{4,5,6,7}:{(71,1),(124,1)}
        88:{2,4,5}:{(72,1),(74,1),(76,1),(101,1)}
        89:{2,5,7}:{(72,1),(73,1),(77,1),(103,1)}
        90:{3,4,6}:{(74,1),(101,1),(104,1),(119,1)}
        91:{2,4,7}:{(74,1),(75,1),(78,1),(104,1)}
        92:{2,3,6,7}:{(75,1),(79,1),(103,1),(105,1),(119,1)}
        93:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(102,1),(106,1),(107,1)}
        94:{1,3,6}:{(77,1),(82,1),(103,1),(106,1),(119,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(84,1),(105,1),(106,1),(107,1)}
        96:{3,4,5,7}:{(80,1),(81,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(82,1),(106,1),(108,1),(109,1)}
        98:{3,4,6,7}:{(83,1),(84,1),(85,1),(108,1),(110,1),(111,1)}
        99:{2,5,7}:{(84,1),(107,1),(109,1),(110,1)}
       100:{3,5,6,7}:{(85,1),(86,1),(110,1),(111,1)}
       101:{3,5}:{(88,1),(90,1)}
       102:{2,4,5,7}:{(88,1),(89,1),(91,1),(93,1),(112,1),(113,1),(115,1),(124,1)}
       103:{2,6}:{(89,1),(94,1)}
       104:{3,4,7}:{(90,1),(91,1),(112,1)}
       105:{2,4,6,7}:{(91,1),(92,1),(95,1),(113,1),(114,1),(115,1)}
       106:{1,4,6}:{(93,1),(94,1),(97,1),(113,1),(116,1)}
       107:{1,5,7}:{(95,1),(99,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(97,1),(117,1)}
       109:{2,5,6}:{(97,1),(99,1),(116,1),(117,1)}
       110:{3,5,7}:{(98,1),(99,1),(117,1),(118,1)}
       111:{4,6,7}:{(100,1),(118,1)}
       112:{3,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{2,4,6}:{(102,1),(103,1),(106,1),(119,1),(120,1),(125,1)}
       114:{3,4,6,7}:{(104,1),(105,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(105,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(109,1),(120,1)}
       117:{3,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       118:{4,5,7}:{(110,1),(111,1),(122,1)}
       119:{3,6}:{(112,1),(113,1)}
       120:{2,5,6}:{(113,1),(115,1),(116,1),(123,1)}
       121:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1540 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1541 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1542 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1543 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1544 :   0:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(157,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(19,1),(25,1),(47,1),(52,1),(65,1),(94,1),(102,1),(116,1),(153,1),(156,1),(166,1),(218,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(33,1),(187,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(68,1),(188,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(188,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(188,1),(247,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(33,1),(41,1),(69,1),(76,1),(87,1),(122,1),(133,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(50,1),(217,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1),(219,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(19,1),(92,1),(94,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(20,1),(47,1),(49,1),(94,1),(153,1)}
        11:{2,4,5,6}:{(4,1),(17,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(219,1)}
        12:{2,3,5,7}:{(6,1),(21,1),(24,1),(25,1),(53,1),(153,1),(166,1),(218,1),(268,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(19,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(50,1),(94,1),(102,1),(110,1),(173,1)}
        16:{1,4,6,7}:{(7,1),(8,1),(29,1),(30,1),(245,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(11,1),(29,1),(31,1),(33,1),(67,1),(69,1),(122,1)}
        18:{3,6,7}:{(8,1),(31,1),(247,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(13,1),(31,1),(33,1)}
        20:{2,4,6,7}:{(10,1),(14,1),(32,1),(33,1),(34,1),(69,1),(71,1),(122,1)}
        21:{2,3,4,7}:{(12,1),(35,1),(36,1),(69,1),(87,1),(118,1),(127,1),(185,1),(199,1),(243,1)}
        22:{1,4,5,6}:{(11,1),(29,1),(37,1),(42,1),(84,1),(206,1),(245,1)}
        23:{3,5,6}:{(11,1),(31,1),(38,1),(142,1),(209,1),(247,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(247,1),(286,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(36,1),(40,1),(41,1),(77,1),(285,1)}
        26:{2,5,6}:{(13,1),(14,1),(33,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(72,1),(75,1),(87,1),(122,1),(125,1),(130,1),(133,1),(141,1),(144,1),(146,1),(186,1),(193,1),(196,1),(252,1),(285,1),(292,1)}
        29:{1,4,5,7}:{(16,1),(17,1),(22,1),(45,1),(50,1),(94,1)}
        30:{1,3,6,7}:{(16,1),(18,1),(45,1),(46,1),(269,1)}
        31:{3,5,7}:{(17,1),(18,1),(23,1),(47,1),(153,1)}
        32:{2,3,6,7}:{(18,1),(20,1),(24,1),(46,1),(48,1),(49,1),(153,1)}
        33:{2,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,4,6,7}:{(20,1),(27,1),(49,1),(50,1),(94,1)}
        35:{2,3,4,6}:{(21,1),(24,1),(53,1),(54,1),(59,1),(106,1),(113,1),(158,1),(159,1),(175,1),(223,1),(236,1)}
        36:{1,3,4,7}:{(21,1),(25,1),(54,1),(55,1),(94,1),(101,1),(110,1),(149,1),(153,1),(267,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(45,1),(56,1),(57,1),(237,1),(269,1)}
        38:{3,4,6}:{(23,1),(47,1),(52,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(48,1),(53,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(298,1)}
        41:{2,5,7}:{(25,1),(55,1),(61,1),(103,1)}
        42:{1,5,6}:{(26,1),(27,1),(50,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(219,1),(225,1),(275,1),(298,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(101,1),(116,1),(153,1),(163,1),(166,1),(218,1),(274,1),(303,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(37,1),(66,1),(67,1)}
        46:{2,6,7}:{(30,1),(67,1),(68,1),(286,1)}
        47:{3,4,7}:{(31,1),(38,1),(69,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(33,1),(39,1),(67,1),(69,1),(70,1),(118,1)}
        49:{1,3,6,7}:{(32,1),(34,1),(40,1),(68,1),(70,1),(71,1)}
        50:{1,5,7}:{(33,1),(34,1),(42,1)}
        51:{1,2,4,6,7}:{(34,1),(43,1),(71,1),(72,1),(73,1),(122,1),(124,1),(125,1),(208,1),(254,1),(292,1)}
        52:{3,4,5}:{(38,1),(76,1),(209,1),(251,1)}
        53:{2,3,5}:{(35,1),(76,1),(77,1),(144,1),(209,1),(263,1)}
        54:{1,3,4,6}:{(35,1),(36,1),(40,1),(77,1),(78,1),(84,1),(131,1),(137,1),(140,1),(142,1),(190,1),(196,1),(199,1),(262,1)}
        55:{2,4,7}:{(36,1),(41,1),(78,1),(79,1),(181,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(74,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(67,1),(80,1),(81,1),(263,1),(286,1)}
        58:{1,2,5,7}:{(41,1),(75,1),(82,1),(83,1),(130,1),(193,1),(285,1)}
        59:{2,4,6}:{(38,1),(39,1),(69,1),(76,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(70,1),(77,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(79,1),(83,1),(86,1),(87,1),(127,1),(134,1),(144,1),(191,1),(193,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(72,1),(85,1),(88,1),(130,1),(144,1),(187,1),(203,1),(207,1),(253,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(247,1),(291,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(125,1),(185,1),(196,1),(199,1),(251,1)}
        66:{1,3,4,7}:{(45,1),(47,1),(56,1),(91,1),(94,1),(149,1),(153,1)}
        67:{2,5,7}:{(45,1),(46,1),(57,1),(91,1),(92,1)}
        68:{1,6,7}:{(46,1),(92,1),(298,1)}
        69:{2,4,7}:{(47,1),(48,1),(59,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(60,1),(92,1),(94,1),(95,1),(149,1),(153,1)}
        71:{2,6,7}:{(49,1),(61,1),(95,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(63,1),(95,1),(97,1),(155,1),(213,1),(239,1),(276,1)}
        73:{1,3,6,7}:{(51,1),(64,1),(96,1),(97,1),(153,1),(298,1),(303,1)}
        74:{1,3,4,5}:{(52,1),(56,1),(99,1),(102,1),(161,1),(166,1),(228,1),(237,1)}
        75:{1,2,4,7}:{(55,1),(58,1),(100,1),(101,1),(110,1),(160,1),(213,1),(267,1)}
        76:{2,4,5}:{(52,1),(53,1),(59,1),(102,1),(223,1)}
        77:{1,3,5}:{(53,1),(54,1),(102,1),(103,1),(166,1),(173,1),(282,1)}
        78:{2,4,6}:{(54,1),(55,1),(61,1),(103,1),(104,1),(167,1),(170,1),(222,1)}
        79:{2,3,7}:{(55,1),(101,1),(104,1),(153,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(99,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(92,1),(107,1),(282,1),(298,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(225,1),(298,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(101,1),(109,1),(110,1),(163,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(102,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(103,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(225,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(167,1),(223,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(97,1),(112,1),(115,1),(116,1),(163,1),(235,1),(282,1),(298,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(165,1),(180,1),(218,1),(229,1),(232,1),(274,1),(280,1),(281,1),(303,1)}
        91:{2,4,7}:{(66,1),(67,1),(80,1),(118,1),(119,1),(181,1)}
        92:{1,5,7}:{(67,1),(68,1),(81,1),(119,1)}
        93:{1,2,6,7}:{(68,1),(71,1),(82,1),(120,1),(121,1),(254,1),(286,1),(307,1)}
        94:{1,4,7}:{(69,1),(70,1),(84,1),(122,1)}
        95:{2,5,7}:{(70,1),(71,1),(85,1),(122,1),(181,1)}
        96:{2,3,6,7}:{(71,1),(73,1),(86,1),(121,1),(123,1),(124,1),(247,1),(254,1),(286,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(88,1),(123,1),(125,1),(242,1),(285,1)}
        98:{1,3,4,6,7}:{(73,1),(89,1),(124,1),(125,1),(126,1),(185,1),(188,1),(247,1)}
        99:{2,4,5}:{(74,1),(80,1),(128,1),(129,1),(194,1),(256,1),(263,1)}
       100:{1,2,4,6}:{(75,1),(78,1),(82,1),(130,1),(131,1),(140,1),(192,1),(196,1),(203,1),(249,1),(262,1)}
       101:{1,3,7}:{(75,1),(79,1),(127,1),(131,1)}
       102:{1,4,5}:{(76,1),(77,1),(84,1),(133,1),(196,1)}
       103:{2,5}:{(77,1),(78,1)}
       104:{2,3,6}:{(78,1),(79,1),(131,1),(134,1),(142,1),(250,1)}
       105:{2,3,4,7}:{(79,1),(87,1),(132,1),(135,1),(136,1),(185,1),(243,1),(251,1),(261,1),(310,1)}
       106:{2,3,6}:{(80,1),(118,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(119,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(120,1),(130,1),(138,1),(139,1),(253,1),(263,1),(286,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(196,1)}
       111:{2,4,6}:{(84,1),(85,1),(122,1),(133,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(123,1),(134,1),(139,1),(142,1),(143,1),(144,1),(187,1),(191,1),(204,1),(209,1),(247,1),(253,1),(263,1),(286,1),(291,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(136,1),(141,1),(144,1),(145,1),(193,1),(200,1),(211,1),(252,1),(261,1),(292,1)}
       115:{1,4,6}:{(88,1),(125,1),(143,1),(146,1),(196,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(188,1),(198,1),(247,1),(258,1),(260,1),(291,1)}
       118:{2,3,7}:{(91,1),(106,1),(149,1),(153,1)}
       119:{1,4,7}:{(91,1),(92,1),(107,1),(149,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(95,1),(108,1),(150,1),(151,1),(268,1),(276,1),(306,1)}
       121:{1,3,6,7}:{(93,1),(96,1),(109,1),(151,1),(152,1),(269,1)}
       122:{2,4,7}:{(94,1),(95,1),(111,1),(153,1)}
       123:{2,3,5,7}:{(95,1),(96,1),(97,1),(112,1),(151,1),(153,1),(154,1),(155,1),(214,1),(218,1),(268,1),(276,1),(303,1)}
       124:{2,4,6,7}:{(96,1),(98,1),(113,1),(152,1),(154,1),(155,1),(219,1)}
       125:{1,4,7}:{(97,1),(115,1),(154,1)}
       126:{1,3,5,7}:{(98,1),(116,1),(155,1),(156,1),(157,1),(218,1)}
       127:{2,3,7}:{(101,1),(159,1),(160,1),(303,1)}
       128:{2,3,5}:{(99,1),(106,1),(158,1),(161,1),(166,1)}
       129:{1,4,5}:{(99,1),(107,1),(161,1),(277,1),(282,1)}
       130:{1,2,5}:{(100,1),(103,1),(163,1),(173,1),(224,1),(282,1)}
       131:{1,3,6}:{(100,1),(101,1),(104,1),(159,1),(163,1),(272,1)}
       132:{1,3,4,7}:{(101,1),(105,1),(110,1),(160,1),(164,1),(165,1),(267,1),(280,1),(303,1),(313,1)}
       133:{2,4,5}:{(102,1),(103,1),(111,1),(166,1),(167,1)}
       134:{2,3,5}:{(103,1),(104,1),(163,1),(166,1),(167,1)}
       135:{2,3,4,6}:{(104,1),(105,1),(113,1),(164,1),(167,1),(168,1),(169,1),(175,1),(233,1),(236,1),(273,1),(302,1)}
       136:{2,3,5,7}:{(105,1),(114,1),(165,1),(168,1),(169,1),(218,1),(268,1),(274,1),(303,1)}
       137:{1,3,6}:{(106,1),(107,1),(149,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(150,1),(162,1),(170,1),(171,1),(172,1),(236,1),(275,1),(304,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(151,1),(163,1),(171,1),(172,1),(173,1),(217,1),(237,1),(269,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(165,1),(173,1),(174,1),(229,1),(239,1),(280,1)}
       142:{3,6}:{(111,1),(153,1),(166,1)}
       143:{2,4,6}:{(112,1),(115,1),(154,1),(167,1),(172,1),(175,1),(176,1),(223,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(169,1),(174,1),(177,1),(225,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(221,1),(231,1),(271,1),(280,1),(281,1),(303,1)}
       149:{1,3,7}:{(118,1),(119,1),(137,1),(181,1)}
       150:{1,2,4,7}:{(119,1),(120,1),(122,1),(138,1),(181,1),(182,1),(183,1),(243,1),(292,1),(311,1),(314,1)}
       151:{1,3,5,7}:{(120,1),(121,1),(123,1),(139,1),(182,1),(183,1),(184,1)}
       152:{1,4,6,7}:{(121,1),(124,1),(140,1),(183,1),(184,1),(245,1)}
       153:{3,7}:{(122,1),(142,1)}
       154:{2,4,7}:{(123,1),(125,1),(143,1),(183,1),(185,1)}
       155:{2,5,7}:{(124,1),(126,1),(144,1),(184,1),(187,1)}
       156:{1,4,5,7}:{(125,1),(126,1),(146,1),(186,1),(188,1),(285,1)}
       157:{1,3,5,6}:{(126,1),(187,1),(188,1),(247,1)}
       158:{2,3,4}:{(128,1),(190,1),(199,1),(256,1),(288,1)}
       159:{2,3,6}:{(127,1),(131,1),(191,1),(192,1),(288,1),(291,1)}
       160:{2,4,7}:{(127,1),(132,1),(192,1),(193,1),(314,1)}
       161:{1,3,5}:{(128,1),(129,1),(137,1),(190,1),(194,1)}
       162:{1,2,4,5}:{(129,1),(130,1),(133,1),(138,1),(194,1),(195,1),(196,1),(206,1),(249,1),(252,1),(256,1),(263,1),(293,1),(308,1)}
       163:{1,3,5}:{(130,1),(131,1),(134,1),(191,1),(196,1)}
       164:{1,3,4,6}:{(131,1),(132,1),(135,1),(140,1),(192,1),(196,1),(197,1),(198,1),(251,1),(258,1),(262,1),(289,1),(291,1),(309,1)}
       165:{1,3,5,7}:{(132,1),(136,1),(141,1),(193,1),(197,1),(198,1),(285,1)}
       166:{3,5}:{(133,1),(142,1),(199,1)}
       167:{2,4}:{(134,1),(196,1),(199,1)}
       168:{2,3,5}:{(135,1),(144,1),(197,1),(200,1),(209,1),(263,1)}
       169:{2,3,6}:{(136,1),(145,1),(198,1),(247,1),(286,1),(291,1)}
       170:{2,6}:{(137,1),(181,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(182,1),(195,1),(204,1),(291,1)}
       172:{1,4,6}:{(139,1),(143,1),(183,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(198,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(185,1),(199,1),(209,1),(247,1),(251,1),(291,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(202,1),(208,1),(211,1),(254,1),(261,1),(292,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(188,1),(210,1),(212,1),(258,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{2,7}:{(149,1),(170,1)}
       182:{1,3,7}:{(150,1),(153,1),(171,1),(214,1),(303,1)}
       183:{1,4,7}:{(151,1),(154,1),(172,1)}
       184:{1,5,7}:{(152,1),(155,1),(173,1),(217,1)}
       185:{3,4,7}:{(153,1),(154,1),(175,1),(218,1),(303,1)}
       186:{2,4,5,7}:{(154,1),(155,1),(156,1),(176,1),(216,1),(218,1),(219,1),(268,1)}
       187:{2,5,6}:{(155,1),(157,1),(217,1),(219,1)}
       188:{1,4,6}:{(156,1),(157,1),(219,1),(298,1)}
       189:{1,3,5,6,7}:{(157,1),(180,1),(220,1),(221,1),(271,1)}
       190:{1,3,4}:{(158,1),(161,1),(222,1),(272,1),(277,1)}
       191:{2,3,5}:{(159,1),(163,1),(223,1),(224,1),(274,1)}
       192:{2,4,6}:{(159,1),(160,1),(164,1),(223,1),(224,1),(225,1),(300,1),(312,1)}
       193:{2,5,7}:{(160,1),(165,1),(224,1),(225,1)}
       194:{2,5}:{(161,1),(170,1),(222,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(227,1),(228,1),(272,1),(274,1)}
       196:{1,4}:{(163,1),(167,1),(223,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(224,1),(229,1),(274,1),(282,1)}
       198:{1,3,6}:{(165,1),(169,1),(174,1),(225,1),(298,1)}
       199:{3,4}:{(166,1),(167,1)}
       200:{2,4,5}:{(167,1),(168,1),(229,1),(232,1),(233,1)}
       201:{2,3,5,6}:{(168,1),(169,1),(177,1),(230,1),(233,1),(234,1),(240,1),(283,1),(302,1)}
       202:{2,3,6,7}:{(169,1),(178,1),(231,1),(234,1),(271,1),(299,1),(303,1)}
       203:{1,2,6}:{(170,1),(213,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(214,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(215,1),(228,1),(236,1),(237,1),(269,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(231,1),(239,1),(280,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(219,1),(233,1),(238,1),(240,1),(241,1),(275,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(221,1),(241,1),(280,1),(306,1)}
       213:{1,2,7}:{(181,1),(203,1),(242,1),(314,1)}
       214:{2,3,7}:{(181,1),(182,1),(204,1),(242,1),(243,1),(314,1)}
       215:{1,3,4,7}:{(182,1),(183,1),(185,1),(205,1),(243,1),(244,1)}
       216:{1,4,5,7}:{(183,1),(184,1),(186,1),(206,1),(244,1),(245,1)}
       217:{1,5,6}:{(184,1),(187,1),(245,1)}
       218:{3,5,7}:{(185,1),(186,1),(209,1),(247,1)}
       219:{2,4,6}:{(186,1),(187,1),(188,1),(245,1),(247,1),(286,1)}
       220:{2,5,6,7}:{(187,1),(189,1),(211,1),(246,1),(248,1)}
       221:{1,4,6,7}:{(188,1),(189,1),(212,1),(248,1),(307,1)}
       222:{2,4}:{(190,1),(194,1),(250,1)}
       223:{2,4}:{(191,1),(196,1),(251,1)}
       224:{2,5}:{(192,1),(197,1)}
       225:{2,6}:{(193,1),(198,1)}
       226:{1,2,5}:{(194,1),(203,1),(249,1),(255,1),(308,1)}
       227:{2,3,5}:{(194,1),(195,1),(204,1),(250,1),(255,1),(256,1),(263,1),(288,1),(308,1)}
       228:{1,3,4}:{(195,1),(196,1),(199,1),(251,1),(256,1)}
       229:{1,4,5}:{(196,1),(197,1),(200,1),(252,1),(258,1)}
       230:{1,3,5,6}:{(197,1),(198,1),(201,1),(207,1),(253,1),(258,1),(259,1),(291,1),(296,1),(309,1)}
       231:{1,3,6,7}:{(198,1),(202,1),(208,1),(254,1),(259,1),(307,1)}
       232:{3,4,5}:{(199,1),(200,1),(209,1),(260,1)}
       233:{2,4,6}:{(200,1),(201,1),(258,1),(260,1),(261,1)}
       234:{2,3,5,7}:{(201,1),(202,1),(211,1),(259,1),(261,1),(266,1),(297,1),(310,1)}
       235:{1,3,6}:{(203,1),(204,1),(242,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(243,1),(256,1),(262,1),(263,1),(286,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(245,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(247,1),(260,1),(266,1),(291,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(248,1),(261,1),(265,1),(266,1),(292,1),(297,1)}
       242:{1,3,7}:{(213,1),(214,1),(235,1),(267,1)}
       243:{2,4,7}:{(214,1),(215,1),(236,1),(267,1),(268,1)}
       244:{1,3,5,7}:{(215,1),(216,1),(218,1),(237,1),(268,1),(269,1)}
       245:{1,4,6}:{(216,1),(217,1),(219,1),(269,1)}
       246:{1,5,6,7}:{(217,1),(220,1),(239,1),(270,1)}
       247:{3,6}:{(218,1),(219,1)}
       248:{2,4,6,7}:{(219,1),(220,1),(221,1),(241,1),(270,1),(271,1),(299,1)}
       249:{1,2,4}:{(222,1),(226,1),(272,1),(277,1),(300,1)}
       250:{2,3}:{(222,1),(272,1)}
       251:{3,4}:{(223,1),(274,1)}
       252:{2,4,5}:{(223,1),(224,1),(229,1),(274,1),(275,1)}
       253:{2,5,6}:{(224,1),(225,1),(230,1),(275,1),(276,1),(312,1)}
       254:{2,6,7}:{(225,1),(231,1),(276,1)}
       255:{1,3,5}:{(226,1),(227,1),(235,1),(272,1),(277,1),(282,1)}
       256:{2,4}:{(227,1),(228,1),(277,1)}
       257:{1,3,4,5}:{(228,1),(229,1),(232,1),(237,1),(274,1),(278,1),(279,1),(301,1)}
       258:{1,4,6}:{(229,1),(230,1),(233,1),(275,1),(280,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(234,1),(239,1),(276,1),(280,1),(303,1),(306,1),(313,1)}
       260:{3,4,6}:{(232,1),(233,1),(240,1),(281,1)}
       261:{2,4,7}:{(233,1),(234,1),(280,1),(281,1)}
       262:{1,4,6}:{(235,1),(236,1),(267,1),(277,1),(282,1),(298,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(269,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(270,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(271,1),(281,1),(303,1)}
       267:{1,4,7}:{(242,1),(243,1),(262,1),(285,1)}
       268:{2,5,7}:{(243,1),(244,1),(263,1),(285,1),(286,1)}
       269:{1,3,6}:{(244,1),(245,1),(247,1),(286,1)}
       270:{1,4,6,7}:{(245,1),(246,1),(248,1),(265,1),(287,1)}
       271:{3,6,7}:{(247,1),(248,1),(266,1)}
       272:{1,3}:{(249,1),(250,1),(288,1)}
       273:{2,3,4}:{(250,1),(251,1),(256,1),(289,1),(290,1)}
       274:{3,5}:{(251,1),(252,1),(291,1)}
       275:{2,4,6}:{(252,1),(253,1),(258,1),(291,1),(292,1)}
       276:{2,5,7}:{(253,1),(254,1),(259,1),(292,1),(314,1)}
       277:{1,4}:{(255,1),(256,1)}
       278:{2,4,5}:{(256,1),(257,1),(263,1),(290,1),(293,1),(294,1),(308,1)}
       279:{1,3,4,6}:{(257,1),(258,1),(260,1),(264,1),(291,1),(294,1),(295,1),(309,1)}
       280:{1,4,7}:{(258,1),(259,1),(261,1),(292,1)}
       281:{3,4,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(286,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(287,1),(295,1),(297,1)}
       285:{1,5,7}:{(267,1),(268,1),(282,1),(298,1)}
       286:{2,6}:{(268,1),(269,1),(298,1)}
       287:{1,3,6,7}:{(269,1),(270,1),(271,1),(284,1),(299,1)}
       288:{2,3}:{(272,1),(300,1)}
       289:{1,3,4}:{(272,1),(273,1),(277,1),(300,1),(301,1)}
       290:{2,3,5}:{(273,1),(274,1),(278,1),(301,1),(302,1)}
       291:{3,6}:{(274,1),(275,1),(303,1)}
       292:{2,4,7}:{(275,1),(276,1),(280,1),(303,1)}
       293:{1,4,5}:{(277,1),(278,1),(282,1),(301,1),(304,1)}
       294:{2,4,6}:{(278,1),(279,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,7}:{(279,1),(280,1),(281,1),(284,1),(303,1),(305,1),(313,1)}
       296:{1,5,6}:{(282,1),(283,1),(298,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(299,1),(305,1),(306,1)}
       298:{1,6}:{(285,1),(286,1)}
       299:{2,6,7}:{(286,1),(287,1),(297,1),(307,1)}
       300:{2,4}:{(288,1),(289,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,3,6}:{(290,1),(291,1),(294,1),(309,1),(310,1)}
       303:{3,7}:{(291,1),(292,1)}
       304:{1,4,6}:{(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,7}:{(296,1),(297,1),(307,1),(311,1)}
       307:{1,6,7}:{(298,1),(299,1),(306,1)}
       308:{2,5}:{(300,1),(301,1),(312,1)}
       309:{1,3,6}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,7}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,7}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1545 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(13,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(26,1),(55,1),(119,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(43,1),(93,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(155,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(13,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(37,1),(40,1)}
         7:{3,4,5,6}:{(12,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(40,1),(82,1),(94,1),(103,1),(218,1),(226,1),(230,1),(242,1),(288,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(65,1),(125,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(26,1),(55,1),(59,1),(65,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(192,1)}
        12:{3,4,5,7}:{(5,1),(7,1),(24,1),(184,1),(263,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,3,5,6,7}:{(6,1),(23,1),(26,1),(27,1),(59,1),(62,1),(65,1)}
        15:{1,3,4,5,6}:{(7,1),(21,1),(28,1),(30,1),(52,1),(68,1),(71,1),(106,1),(131,1),(177,1),(193,1)}
        16:{2,4,5,6}:{(7,1),(24,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(261,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(62,1),(74,1),(113,1),(122,1),(127,1),(134,1),(195,1),(208,1),(260,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(33,1),(36,1),(41,1),(78,1),(83,1),(89,1),(144,1),(152,1),(155,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(85,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(228,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(230,1)}
        25:{2,3,4,6,7}:{(13,1),(17,1),(37,1),(40,1),(42,1),(82,1),(147,1),(154,1),(160,1),(230,1)}
        26:{1,4,6,7}:{(13,1),(14,1),(41,1),(43,1)}
        27:{2,5,6,7}:{(14,1),(43,1),(85,1),(88,1)}
        28:{2,4,5,6}:{(15,1),(36,1),(45,1),(46,1),(96,1),(168,1),(229,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(40,1),(47,1),(222,1),(229,1)}
        30:{1,4,5,6}:{(16,1),(41,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(287,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(88,1),(149,1),(158,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(125,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(28,1),(57,1),(58,1),(114,1),(189,1),(192,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(65,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(27,1),(56,1),(60,1),(61,1),(116,1),(120,1),(179,1),(192,1),(262,1),(266,1),(301,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(29,1),(62,1),(184,1),(192,1)}
        41:{1,4,5,7}:{(24,1),(26,1),(30,1),(62,1),(63,1),(195,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(59,1),(62,1),(64,1),(65,1),(113,1),(122,1),(123,1),(191,1),(195,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(65,1)}
        44:{2,3,5,6,7}:{(27,1),(61,1),(65,1),(66,1),(117,1),(121,1),(125,1),(192,1),(200,1),(250,1),(301,1),(314,1)}
        45:{2,3,5,6}:{(28,1),(57,1),(67,1),(68,1),(71,1),(177,1)}
        46:{1,4,5,6}:{(28,1),(58,1),(68,1),(205,1),(262,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(62,1),(70,1),(71,1),(262,1)}
        48:{2,4,5,6}:{(30,1),(63,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(120,1),(138,1),(186,1),(195,1),(201,1),(208,1),(209,1),(260,1),(264,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(202,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(163,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(82,1),(92,1),(139,1),(154,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(85,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(45,1),(82,1),(83,1),(89,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(46,1),(83,1),(225,1),(228,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(83,1),(85,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(84,1),(85,1),(86,1),(87,1),(154,1),(287,1),(289,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(44,1),(81,1),(86,1),(87,1),(153,1),(155,1),(157,1),(216,1),(228,1),(234,1),(283,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(88,1),(89,1),(228,1)}
        63:{2,4,5,7}:{(41,1),(43,1),(48,1),(88,1),(89,1),(158,1)}
        64:{2,4,6,7}:{(42,1),(49,1),(85,1),(88,1),(91,1),(149,1),(158,1)}
        65:{3,6,7}:{(43,1),(89,1)}
        66:{2,4,6,7}:{(44,1),(87,1),(92,1),(93,1),(158,1),(232,1),(279,1),(310,1)}
        67:{2,3,4,6}:{(45,1),(82,1),(94,1),(95,1),(100,1),(168,1),(213,1),(237,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(83,1),(95,1),(96,1)}
        69:{1,2,4,5,6}:{(46,1),(48,1),(84,1),(96,1),(97,1),(98,1),(141,1),(156,1),(165,1),(168,1),(171,1),(211,1),(229,1),(240,1),(242,1),(275,1),(287,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        70:{2,5,6}:{(47,1),(49,1),(88,1)}
        71:{3,5,6}:{(48,1),(89,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(287,1),(289,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(235,1),(288,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(158,1),(236,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(125,1),(192,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(113,1),(175,1),(181,1),(182,1),(191,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(117,1),(180,1),(184,1),(192,1),(194,1),(256,1),(266,1),(304,1)}
        82:{2,3,4,7}:{(57,1),(67,1),(113,1),(122,1),(181,1),(189,1),(257,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(68,1),(113,1),(114,1)}
        84:{1,2,4,5,7}:{(58,1),(60,1),(63,1),(69,1),(109,1),(114,1),(115,1),(119,1),(120,1),(179,1),(186,1),(189,1),(192,1),(195,1),(251,1),(260,1),(264,1),(299,1),(302,1)}
        85:{2,6,7}:{(59,1),(114,1)}
        86:{1,3,6,7}:{(60,1),(65,1),(111,1),(115,1),(117,1),(303,1),(304,1),(314,1)}
        87:{1,4,6,7}:{(61,1),(66,1),(112,1),(119,1),(195,1),(251,1),(265,1),(300,1)}
        88:{2,5,7}:{(62,1),(64,1),(70,1)}
        89:{3,5,7}:{(63,1),(65,1),(71,1),(122,1)}
        90:{1,2,4,6,7}:{(64,1),(72,1),(116,1),(120,1),(123,1),(186,1),(191,1),(195,1),(198,1)}
        91:{2,3,6,7}:{(64,1),(65,1),(73,1),(121,1),(123,1),(187,1)}
        92:{3,4,6,7}:{(65,1),(66,1),(122,1),(125,1),(197,1),(298,1),(314,1)}
        93:{2,4,5,7}:{(66,1),(119,1),(125,1),(126,1),(192,1)}
        94:{2,3,4,5}:{(67,1),(127,1),(134,1),(206,1),(247,1),(267,1)}
        95:{1,3,4,6}:{(67,1),(68,1),(113,1),(127,1),(128,1),(203,1),(205,1)}
        96:{2,5,6}:{(68,1),(114,1),(128,1)}
        97:{1,3,5,6}:{(69,1),(71,1),(115,1),(130,1),(131,1),(177,1),(203,1),(270,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(120,1),(132,1),(209,1),(262,1),(266,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(121,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(122,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(267,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(195,1),(263,1),(268,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(163,1),(229,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(94,1),(139,1),(142,1),(159,1),(226,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(228,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(85,1),(143,1),(146,1),(149,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(87,1),(147,1),(148,1),(217,1),(230,1),(281,1),(289,1)}
       113:{1,3,4,7}:{(82,1),(83,1),(95,1),(149,1),(223,1),(225,1)}
       114:{2,5,7}:{(83,1),(85,1),(96,1),(149,1)}
       115:{1,3,5,7}:{(84,1),(86,1),(89,1),(97,1),(144,1),(151,1),(152,1),(223,1),(288,1),(309,1)}
       116:{1,2,6,7}:{(85,1),(150,1),(153,1),(311,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(151,1),(153,1),(154,1),(286,1),(311,1)}
       118:{1,3,4,6,7}:{(86,1),(87,1),(92,1),(147,1),(152,1),(154,1),(155,1),(227,1)}
       119:{1,4,5,7}:{(87,1),(93,1),(148,1),(155,1),(156,1),(228,1)}
       120:{1,2,5,7}:{(88,1),(90,1),(98,1),(157,1),(228,1),(233,1)}
       121:{2,3,5,7}:{(88,1),(89,1),(91,1),(99,1),(157,1),(158,1)}
       122:{3,4,7}:{(89,1),(100,1),(158,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(101,1),(157,1),(160,1),(223,1)}
       124:{2,3,4,6,7}:{(91,1),(92,1),(102,1),(154,1),(158,1),(161,1),(162,1),(224,1),(232,1),(286,1)}
       125:{3,5,7}:{(92,1),(93,1),(163,1)}
       126:{2,4,5,6}:{(93,1),(156,1),(163,1),(229,1),(232,1),(310,1)}
       127:{1,3,4,5}:{(94,1),(95,1),(164,1),(235,1),(240,1)}
       128:{2,4,6}:{(95,1),(96,1),(149,1),(164,1),(166,1)}
       129:{1,2,5,6}:{(96,1),(150,1),(165,1),(167,1),(291,1),(311,1)}
       130:{2,3,5,6}:{(96,1),(97,1),(151,1),(166,1),(167,1),(168,1),(229,1),(237,1),(239,1),(286,1),(291,1),(311,1)}
       131:{1,3,4,6}:{(97,1),(100,1),(152,1),(168,1),(169,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(157,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(158,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(290,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(197,1),(261,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(262,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(127,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(260,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(116,1),(179,1),(182,1),(186,1),(191,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(187,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(263,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(119,1),(184,1),(185,1),(192,1)}
       149:{2,4,7}:{(113,1),(114,1),(128,1),(187,1)}
       150:{1,2,5,7}:{(114,1),(116,1),(129,1),(186,1),(188,1),(302,1)}
       151:{2,3,5,7}:{(114,1),(115,1),(117,1),(130,1),(187,1),(188,1),(189,1),(192,1),(257,1),(302,1)}
       152:{1,3,4,7}:{(115,1),(122,1),(131,1),(181,1),(189,1),(195,1),(251,1),(263,1),(298,1)}
       153:{1,3,6,7}:{(116,1),(117,1),(188,1),(191,1),(303,1)}
       154:{2,4,6,7}:{(117,1),(118,1),(189,1),(191,1),(192,1),(261,1)}
       155:{1,3,5,7}:{(118,1),(119,1),(125,1),(184,1),(192,1),(193,1)}
       156:{1,4,5,6}:{(119,1),(126,1),(185,1),(193,1),(262,1),(265,1),(300,1)}
       157:{1,3,5,7}:{(120,1),(121,1),(123,1),(132,1),(194,1),(195,1)}
       158:{2,4,7}:{(121,1),(122,1),(133,1),(195,1)}
       159:{3,4,5,7}:{(122,1),(125,1),(134,1),(196,1),(197,1)}
       160:{2,3,6,7}:{(123,1),(135,1),(194,1),(198,1),(257,1),(304,1)}
       161:{1,3,4,6,7}:{(123,1),(124,1),(136,1),(191,1),(195,1),(198,1),(199,1),(258,1),(263,1),(265,1),(303,1),(304,1)}
       162:{2,3,5,7}:{(124,1),(125,1),(137,1),(192,1),(196,1),(199,1),(200,1)}
       163:{3,5,6}:{(125,1),(126,1),(197,1),(314,1)}
       164:{2,4,5}:{(127,1),(128,1),(202,1)}
       165:{1,2,4,6}:{(128,1),(129,1),(186,1),(201,1),(203,1),(205,1),(269,1)}
       166:{2,3,6}:{(128,1),(187,1),(202,1),(203,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(188,1),(203,1),(205,1),(262,1),(270,1),(303,1)}
       168:{2,4,6}:{(130,1),(131,1),(189,1),(205,1),(206,1)}
       169:{1,3,4,5}:{(131,1),(134,1),(206,1),(208,1),(247,1),(270,1),(271,1),(296,1),(313,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(194,1),(207,1),(209,1),(266,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(195,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(287,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(164,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(228,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(223,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(154,1),(217,1),(220,1),(221,1),(224,1),(273,1),(281,1),(286,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(156,1),(222,1),(229,1),(281,1),(289,1)}
       186:{1,2,4,7}:{(149,1),(150,1),(165,1),(223,1),(225,1),(284,1)}
       187:{2,3,7}:{(149,1),(166,1),(223,1)}
       188:{1,3,5,7}:{(150,1),(151,1),(153,1),(167,1),(223,1),(225,1),(228,1)}
       189:{2,4,7}:{(151,1),(152,1),(168,1),(225,1)}
       190:{1,3,4,5,7}:{(152,1),(155,1),(159,1),(169,1),(218,1),(226,1),(227,1),(231,1),(280,1),(285,1),(288,1),(309,1)}
       191:{1,4,6,7}:{(153,1),(154,1),(225,1),(228,1),(287,1)}
       192:{2,5,7}:{(154,1),(155,1),(228,1),(229,1)}
       193:{1,3,5,6}:{(155,1),(156,1),(163,1),(222,1),(227,1),(229,1)}
       194:{2,3,5,7}:{(157,1),(160,1),(170,1),(230,1),(233,1),(288,1)}
       195:{1,4,7}:{(157,1),(158,1),(171,1),(230,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(231,1),(232,1)}
       197:{3,4,6}:{(159,1),(163,1),(232,1)}
       198:{2,4,6,7}:{(160,1),(161,1),(173,1),(230,1),(233,1),(284,1),(289,1),(311,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(174,1),(228,1),(231,1),(233,1),(234,1),(288,1)}
       200:{2,3,5,6}:{(162,1),(163,1),(229,1),(232,1),(234,1),(286,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(235,1),(240,1),(290,1),(291,1)}
       202:{2,3,5}:{(164,1),(166,1),(235,1),(236,1)}
       203:{1,3,6}:{(165,1),(166,1),(223,1),(235,1),(237,1)}
       204:{2,3,4,6}:{(166,1),(168,1),(224,1),(236,1),(238,1),(239,1),(241,1),(286,1),(307,1)}
       205:{1,4,6}:{(167,1),(168,1),(225,1),(240,1)}
       206:{2,4,5}:{(168,1),(169,1),(239,1),(240,1),(291,1)}
       207:{2,4,6}:{(170,1),(171,1),(230,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(262,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(201,1),(243,1),(248,1),(251,1),(260,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(202,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(257,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(191,1),(251,1),(254,1),(255,1),(258,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(192,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,7}:{(186,1),(187,1),(203,1),(257,1)}
       224:{2,3,4,7}:{(187,1),(189,1),(204,1),(258,1),(259,1),(263,1),(298,1)}
       225:{1,4,7}:{(188,1),(189,1),(205,1)}
       226:{2,4,5,7}:{(189,1),(190,1),(192,1),(206,1),(259,1),(260,1),(261,1),(302,1)}
       227:{1,3,4,6}:{(190,1),(193,1),(197,1),(253,1),(261,1),(265,1),(300,1),(303,1),(304,1),(314,1)}
       228:{1,5,7}:{(191,1),(192,1),(262,1)}
       229:{2,5,6}:{(192,1),(193,1),(261,1),(262,1)}
       230:{2,4,7}:{(194,1),(195,1),(207,1),(263,1)}
       231:{1,4,5,7}:{(195,1),(196,1),(199,1),(208,1),(264,1),(265,1)}
       232:{2,4,6}:{(196,1),(197,1),(200,1),(265,1)}
       233:{2,5,7}:{(198,1),(199,1),(209,1),(266,1)}
       234:{1,3,5,6}:{(199,1),(200,1),(262,1),(265,1),(266,1),(303,1),(304,1)}
       235:{1,3,5}:{(201,1),(202,1),(203,1),(267,1),(268,1)}
       236:{2,3,4}:{(202,1),(268,1)}
       237:{2,3,6}:{(203,1),(257,1),(267,1),(269,1)}
       238:{1,3,4,6}:{(203,1),(204,1),(205,1),(258,1),(268,1),(269,1),(270,1),(303,1)}
       239:{2,3,5}:{(204,1),(206,1),(270,1),(271,1),(313,1)}
       240:{1,4,5}:{(205,1),(206,1),(270,1)}
       241:{3,4,6}:{(207,1),(263,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(287,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(235,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(236,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(284,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(228,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(229,1),(281,1),(283,1),(286,1)}
       257:{2,3,7}:{(223,1),(237,1),(284,1)}
       258:{1,3,4,7}:{(223,1),(224,1),(225,1),(238,1),(284,1),(285,1)}
       259:{2,3,5,7}:{(224,1),(226,1),(239,1),(285,1),(286,1),(288,1),(309,1)}
       260:{1,4,5,7}:{(225,1),(226,1),(228,1),(240,1),(285,1),(287,1)}
       261:{2,4,6}:{(226,1),(227,1),(229,1),(286,1),(287,1),(311,1)}
       262:{1,5,6}:{(228,1),(229,1),(287,1)}
       263:{3,4,7}:{(230,1),(241,1),(288,1)}
       264:{2,4,5,7}:{(230,1),(231,1),(233,1),(242,1),(288,1),(289,1)}
       265:{1,4,6}:{(231,1),(232,1),(234,1),(289,1)}
       266:{2,5,6}:{(233,1),(234,1),(289,1),(311,1)}
       267:{2,3,5}:{(235,1),(237,1),(290,1),(291,1)}
       268:{1,3,4}:{(235,1),(236,1),(290,1)}
       269:{2,4,6}:{(237,1),(238,1),(284,1),(290,1),(291,1),(311,1)}
       270:{1,3,5}:{(238,1),(239,1),(240,1),(291,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(267,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(268,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(262,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4,7}:{(257,1),(258,1),(269,1),(302,1)}
       285:{1,3,5,7}:{(258,1),(259,1),(260,1),(270,1),(302,1),(303,1)}
       286:{2,3,6}:{(259,1),(261,1),(303,1),(304,1),(314,1)}
       287:{1,4,6}:{(260,1),(261,1),(262,1),(303,1)}
       288:{3,5,7}:{(263,1),(264,1),(271,1),(304,1)}
       289:{2,4,6}:{(264,1),(265,1),(266,1),(304,1)}
       290:{2,4}:{(267,1),(268,1)}
       291:{2,5}:{(269,1),(270,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(290,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(284,1),(285,1),(291,1),(311,1)}
       303:{1,3,6}:{(285,1),(286,1),(287,1),(311,1)}
       304:{3,6}:{(288,1),(289,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1546 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(22,1),(62,1),(111,1),(116,1),(117,1),(139,1),(140,1),(186,1),(189,1),(211,1)}
         1:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(28,1),(36,1),(43,1),(79,1),(90,1),(93,1),(95,1),(96,1),(148,1),(152,1),(157,1),(170,1),(176,1),(231,1),(236,1),(271,1),(274,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(43,1),(82,1),(95,1),(103,1),(152,1),(176,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(44,1),(105,1),(106,1),(146,1),(178,1),(218,1)}
         4:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(51,1),(56,1),(116,1),(117,1),(189,1)}
         5:{1,3,5,6,7}:{(14,1),(15,1),(16,1),(56,1),(108,1)}
         6:{1,3,5,7}:{(1,1),(17,1),(18,1),(19,1),(62,1),(130,1),(186,1),(189,1),(205,1),(211,1),(258,1),(291,1)}
         7:{1,2,4,6}:{(1,1),(19,1),(20,1),(24,1),(61,1),(66,1),(70,1),(127,1),(141,1),(184,1),(194,1),(255,1),(289,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(69,1),(186,1),(189,1),(211,1),(248,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(53,1),(60,1),(116,1),(132,1),(139,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(70,1)}
        11:{1,3,5,6}:{(3,1),(14,1),(25,1),(26,1),(62,1),(74,1)}
        12:{1,2,4,6,7}:{(7,1),(27,1),(28,1),(30,1),(75,1),(79,1),(80,1),(152,1),(164,1),(224,1),(274,1)}
        13:{2,4,6,7}:{(4,1),(10,1),(29,1),(30,1),(31,1),(80,1),(82,1),(152,1)}
        14:{1,3,5,7}:{(4,1),(11,1),(31,1),(32,1),(84,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(33,1),(34,1),(145,1)}
        16:{1,4,6,7}:{(5,1),(32,1),(34,1),(146,1),(155,1)}
        17:{1,3,4,7}:{(6,1),(36,1),(37,1),(79,1),(151,1),(236,1),(241,1),(278,1)}
        18:{2,3,5,7}:{(6,1),(36,1),(38,1),(39,1),(43,1),(95,1),(100,1),(157,1),(160,1),(175,1),(230,1)}
        19:{1,3,6}:{(6,1),(7,1),(39,1),(178,1),(218,1),(276,1)}
        20:{1,2,5,6}:{(7,1),(28,1),(40,1),(46,1),(95,1),(104,1),(145,1),(167,1),(170,1),(227,1),(285,1)}
        21:{2,3,4,7}:{(8,1),(36,1),(41,1),(42,1),(82,1),(151,1),(160,1),(221,1),(222,1),(241,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(41,1),(43,1),(44,1),(102,1),(271,1)}
        23:{2,3,6}:{(8,1),(10,1),(44,1),(178,1),(218,1),(270,1)}
        24:{1,4,6}:{(9,1),(10,1),(44,1),(46,1)}
        25:{2,5,6}:{(10,1),(11,1),(31,1),(46,1),(95,1)}
        26:{1,4,5,6}:{(11,1),(32,1),(47,1),(96,1),(105,1),(146,1),(180,1)}
        27:{1,3,6,7}:{(12,1),(19,1),(49,1),(50,1),(189,1),(289,1),(291,1)}
        28:{1,2,5,7}:{(12,1),(20,1),(50,1),(53,1),(110,1),(115,1),(201,1),(252,1),(290,1)}
        29:{2,3,6,7}:{(13,1),(23,1),(51,1),(52,1),(56,1),(119,1),(189,1)}
        30:{1,4,6,7}:{(13,1),(24,1),(51,1),(53,1),(116,1)}
        31:{2,5,7}:{(13,1),(14,1),(25,1),(53,1)}
        32:{1,4,5,7}:{(14,1),(16,1),(26,1),(54,1),(116,1),(191,1)}
        33:{1,5,6,7}:{(15,1),(53,1),(55,1),(183,1)}
        34:{2,4,6,7}:{(15,1),(16,1),(54,1),(55,1),(56,1),(119,1),(184,1)}
        35:{1,3,4,5,7}:{(17,1),(58,1),(59,1),(62,1),(111,1),(120,1),(126,1),(186,1),(199,1),(200,1),(253,1),(254,1),(258,1),(291,1)}
        36:{2,4,7}:{(17,1),(18,1),(60,1),(61,1),(210,1),(257,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(61,1),(62,1),(66,1),(136,1)}
        38:{1,3,5,7}:{(18,1),(60,1),(63,1),(64,1),(130,1),(132,1),(205,1)}
        39:{2,3,6}:{(18,1),(19,1),(61,1),(64,1),(70,1),(194,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(50,1),(62,1),(65,1),(66,1),(205,1),(264,1),(265,1),(289,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(60,1),(67,1),(68,1),(116,1),(130,1),(189,1),(250,1),(251,1)}
        42:{2,3,4,6}:{(21,1),(23,1),(61,1),(68,1),(69,1),(72,1),(136,1),(197,1),(209,1),(213,1),(257,1),(266,1)}
        43:{2,5,7}:{(22,1),(67,1),(70,1),(138,1)}
        44:{1,3,6}:{(22,1),(23,1),(24,1),(70,1),(289,1)}
        45:{2,3,5,6}:{(23,1),(25,1),(52,1),(69,1),(71,1),(72,1),(74,1),(143,1),(213,1)}
        46:{1,5,6}:{(24,1),(25,1),(53,1),(132,1)}
        47:{2,4,5,6}:{(25,1),(26,1),(54,1),(72,1),(73,1),(74,1),(133,1),(141,1),(143,1),(184,1)}
        48:{1,3,4,6,7}:{(27,1),(37,1),(75,1),(76,1),(79,1),(146,1),(151,1),(218,1)}
        49:{2,3,6,7}:{(27,1),(39,1),(75,1),(77,1),(78,1),(80,1),(218,1),(224,1),(270,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(40,1),(78,1),(79,1),(271,1),(272,1)}
        51:{1,3,6,7}:{(29,1),(30,1),(44,1),(80,1),(81,1),(155,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(45,1),(81,1),(82,1),(84,1),(154,1),(222,1)}
        53:{1,5,7}:{(30,1),(31,1),(46,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(34,1),(47,1),(82,1),(83,1),(84,1),(152,1),(154,1)}
        55:{1,4,6,7}:{(33,1),(34,1),(83,1),(85,1),(217,1)}
        56:{3,6,7}:{(34,1),(84,1),(218,1)}
        57:{2,3,4,7}:{(36,1),(86,1),(87,1),(88,1),(100,1),(151,1),(221,1),(226,1),(278,1),(302,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(86,1),(90,1),(91,1),(95,1),(157,1),(163,1),(165,1),(226,1),(231,1),(274,1)}
        59:{1,3,4,6}:{(35,1),(91,1),(92,1),(146,1),(158,1),(218,1),(228,1),(229,1),(276,1)}
        60:{1,4,7}:{(36,1),(38,1),(94,1),(236,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(94,1),(95,1)}
        62:{1,3,5}:{(37,1),(95,1),(96,1),(172,1)}
        63:{1,2,5,7}:{(38,1),(43,1),(93,1),(97,1),(157,1),(170,1),(271,1)}
        64:{1,3,6}:{(38,1),(39,1),(94,1),(97,1)}
        65:{2,3,5,6}:{(39,1),(40,1),(78,1),(95,1),(98,1),(99,1),(104,1),(145,1),(172,1),(175,1),(178,1),(218,1),(227,1),(230,1),(238,1),(239,1),(270,1),(276,1)}
        66:{1,4,6}:{(40,1),(79,1),(96,1),(99,1),(236,1)}
        67:{2,4,7}:{(41,1),(43,1),(100,1),(101,1),(273,1)}
        68:{1,3,4,6}:{(41,1),(42,1),(44,1),(94,1),(101,1),(102,1),(105,1),(169,1),(178,1),(236,1),(240,1),(241,1),(244,1),(286,1)}
        69:{2,3,5}:{(42,1),(95,1),(102,1),(103,1),(172,1),(238,1)}
        70:{2,6}:{(43,1),(44,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(46,1),(81,1),(102,1),(104,1),(105,1),(178,1),(180,1),(244,1)}
        72:{2,4,6}:{(45,1),(82,1),(103,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(47,1),(83,1),(105,1),(107,1),(171,1),(217,1)}
        74:{3,5,6}:{(47,1),(84,1),(106,1),(172,1),(178,1),(218,1)}
        75:{2,4,6,7}:{(48,1),(49,1),(61,1),(109,1),(110,1),(114,1),(184,1)}
        76:{1,3,5,7}:{(48,1),(62,1),(108,1),(110,1),(111,1),(186,1)}
        77:{1,3,6,7}:{(49,1),(64,1),(109,1),(112,1),(113,1),(247,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(65,1),(110,1),(113,1),(114,1),(115,1),(186,1),(189,1),(248,1),(249,1),(252,1),(291,1)}
        79:{1,4,7}:{(50,1),(66,1),(114,1)}
        80:{2,6,7}:{(51,1),(70,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(71,1),(115,1),(116,1),(189,1),(191,1),(251,1)}
        82:{2,4,7}:{(52,1),(72,1),(116,1),(117,1)}
        83:{1,4,5,7}:{(53,1),(54,1),(55,1),(73,1),(116,1),(118,1)}
        84:{3,5,7}:{(54,1),(56,1),(74,1),(117,1),(189,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(118,1),(119,1),(247,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(120,1),(121,1),(124,1),(186,1),(248,1),(258,1),(291,1)}
        87:{1,3,4,7}:{(57,1),(60,1),(120,1),(122,1),(123,1),(130,1),(250,1),(253,1),(291,1),(309,1)}
        88:{2,3,4,6}:{(57,1),(61,1),(121,1),(123,1),(124,1),(136,1),(137,1),(196,1),(209,1),(210,1),(293,1),(295,1)}
        89:{1,3,4,6,7}:{(59,1),(125,1),(126,1),(182,1),(192,1),(246,1),(253,1),(254,1),(291,1)}
        90:{1,4,5,7}:{(58,1),(60,1),(120,1),(127,1),(132,1),(199,1),(201,1),(253,1)}
        91:{2,4,6}:{(58,1),(59,1),(121,1),(127,1),(128,1),(194,1)}
        92:{1,3,5,6}:{(59,1),(62,1),(126,1),(128,1),(129,1),(204,1)}
        93:{1,2,4,7}:{(60,1),(63,1),(67,1),(122,1),(130,1),(131,1),(250,1),(290,1)}
        94:{1,4,6}:{(60,1),(61,1),(64,1),(132,1)}
        95:{2,5}:{(61,1),(62,1),(132,1)}
        96:{1,4,5}:{(62,1),(66,1),(133,1),(264,1)}
        97:{1,2,6}:{(63,1),(64,1),(70,1),(194,1),(289,1)}
        98:{1,3,5,6}:{(64,1),(65,1),(113,1),(132,1),(134,1),(135,1),(183,1),(205,1),(207,1),(208,1),(247,1)}
        99:{2,4,6}:{(65,1),(66,1),(114,1),(133,1),(135,1),(136,1),(210,1),(257,1)}
       100:{2,3,7}:{(67,1),(130,1),(137,1),(189,1)}
       101:{2,4,6}:{(67,1),(68,1),(70,1),(137,1),(138,1),(210,1),(268,1),(300,1)}
       102:{1,3,5}:{(68,1),(69,1),(132,1),(138,1),(139,1),(211,1),(264,1)}
       103:{2,4,5}:{(69,1),(72,1),(139,1),(140,1),(257,1)}
       104:{2,5,6}:{(70,1),(71,1),(115,1),(138,1),(141,1),(268,1)}
       105:{1,4,6}:{(71,1),(72,1),(116,1),(139,1),(141,1)}
       106:{3,4,6}:{(72,1),(74,1),(117,1),(140,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(118,1),(142,1),(143,1),(207,1),(247,1)}
       108:{1,3,5,6}:{(76,1),(145,1),(146,1),(218,1)}
       109:{1,4,6,7}:{(75,1),(77,1),(94,1),(147,1),(150,1),(217,1)}
       110:{2,5,7}:{(75,1),(76,1),(95,1),(145,1),(147,1)}
       111:{1,4,5,7}:{(76,1),(79,1),(96,1),(146,1),(148,1),(271,1)}
       112:{1,2,6,7}:{(77,1),(80,1),(97,1),(149,1),(155,1),(224,1),(270,1),(301,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(98,1),(147,1),(149,1),(150,1),(220,1)}
       114:{2,4,7}:{(78,1),(79,1),(99,1),(150,1),(151,1)}
       115:{2,5,7}:{(80,1),(81,1),(104,1),(152,1),(273,1)}
       116:{1,4,7}:{(81,1),(82,1),(105,1),(152,1)}
       117:{3,4,7}:{(82,1),(84,1),(106,1)}
       118:{1,3,5,7}:{(83,1),(84,1),(85,1),(107,1),(153,1),(154,1)}
       119:{2,6,7}:{(85,1),(154,1),(155,1),(270,1)}
       120:{1,3,5,7}:{(86,1),(87,1),(90,1),(157,1),(158,1),(162,1),(271,1)}
       121:{2,3,6}:{(86,1),(91,1),(158,1),(218,1),(270,1),(276,1)}
       122:{2,4,7}:{(87,1),(157,1),(160,1),(161,1),(313,1)}
       123:{1,3,4,6}:{(87,1),(88,1),(94,1),(158,1),(161,1),(162,1),(169,1),(228,1),(236,1),(240,1),(276,1),(278,1),(304,1),(305,1)}
       124:{2,3,5}:{(88,1),(95,1),(162,1),(163,1),(172,1),(238,1)}
       125:{2,4,6,7}:{(89,1),(91,1),(156,1),(164,1),(165,1),(224,1),(226,1),(274,1)}
       126:{1,3,5,7}:{(89,1),(92,1),(165,1),(166,1),(234,1)}
       127:{1,4,6}:{(90,1),(91,1),(158,1),(167,1)}
       128:{2,5,6}:{(91,1),(92,1),(95,1),(165,1),(167,1)}
       129:{1,4,5,6}:{(92,1),(96,1),(146,1),(166,1),(168,1),(228,1),(282,1)}
       130:{1,3,7}:{(93,1),(100,1),(160,1),(169,1)}
       131:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(161,1),(169,1),(170,1),(236,1),(240,1),(285,1),(307,1)}
       132:{1,5}:{(94,1),(95,1)}
       133:{2,4,5}:{(95,1),(96,1),(99,1),(171,1),(172,1),(238,1)}
       134:{1,2,5,6}:{(97,1),(98,1),(104,1),(149,1),(170,1),(173,1),(180,1),(227,1),(238,1),(270,1),(282,1)}
       135:{1,4,6}:{(98,1),(99,1),(150,1),(171,1),(236,1)}
       136:{3,4,6}:{(99,1),(151,1),(172,1),(178,1),(218,1),(241,1),(276,1),(278,1)}
       137:{2,3,6}:{(100,1),(101,1),(169,1),(175,1),(178,1),(308,1)}
       138:{2,5}:{(101,1),(102,1)}
       139:{1,4,5}:{(102,1),(103,1),(105,1),(176,1),(236,1)}
       140:{3,4,5}:{(103,1),(106,1),(172,1),(278,1)}
       141:{2,4,6}:{(104,1),(105,1),(152,1),(176,1),(178,1)}
       142:{1,3,4,6}:{(105,1),(106,1),(107,1),(153,1),(177,1),(178,1),(179,1),(244,1)}
       143:{2,5,6}:{(107,1),(154,1),(179,1),(180,1),(238,1),(270,1)}
       144:{1,3,5,6,7}:{(108,1),(126,1),(181,1),(182,1),(246,1)}
       145:{2,5,6}:{(108,1),(110,1),(183,1),(184,1)}
       146:{1,4,6}:{(108,1),(111,1),(184,1),(289,1)}
       147:{1,5,7}:{(109,1),(110,1),(132,1),(183,1)}
       148:{2,4,5,7}:{(110,1),(111,1),(114,1),(133,1),(184,1),(185,1),(186,1),(248,1)}
       149:{1,2,5,7}:{(112,1),(113,1),(115,1),(134,1),(187,1),(191,1),(248,1),(252,1),(297,1)}
       150:{1,4,7}:{(113,1),(114,1),(135,1)}
       151:{3,4,7}:{(114,1),(136,1),(186,1),(189,1),(291,1)}
       152:{2,4,7}:{(115,1),(116,1),(141,1),(189,1)}
       153:{1,3,4,7}:{(116,1),(117,1),(118,1),(142,1),(189,1),(190,1),(251,1)}
       154:{2,5,7}:{(118,1),(119,1),(143,1),(190,1),(191,1)}
       155:{1,6,7}:{(119,1),(191,1),(289,1)}
       156:{2,3,6,7}:{(121,1),(125,1),(192,1),(193,1),(246,1),(288,1),(291,1)}
       157:{2,5,7}:{(120,1),(122,1),(194,1),(198,1)}
       158:{1,3,6}:{(120,1),(121,1),(127,1),(194,1),(289,1)}
       159:{2,3,5,6}:{(121,1),(124,1),(128,1),(193,1),(195,1),(196,1),(204,1),(261,1),(293,1)}
       160:{2,3,7}:{(122,1),(130,1),(197,1),(291,1)}
       161:{2,4,6}:{(122,1),(123,1),(194,1),(197,1),(198,1),(257,1),(310,1),(311,1)}
       162:{1,3,5}:{(123,1),(124,1),(132,1),(198,1),(199,1),(258,1),(264,1)}
       163:{2,4,5}:{(124,1),(196,1),(199,1),(200,1),(210,1)}
       164:{1,4,6,7}:{(125,1),(127,1),(192,1),(201,1),(253,1)}
       165:{2,5,7}:{(125,1),(126,1),(128,1),(201,1)}
       166:{1,4,5,7}:{(126,1),(129,1),(182,1),(202,1),(253,1),(297,1)}
       167:{1,5,6}:{(127,1),(128,1),(132,1),(201,1)}
       168:{2,4,5,6}:{(128,1),(129,1),(133,1),(184,1),(196,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6}:{(130,1),(131,1),(137,1),(197,1),(205,1),(312,1)}
       170:{1,2,5}:{(131,1),(132,1),(138,1),(198,1),(205,1),(264,1)}
       171:{1,4,5}:{(132,1),(133,1),(135,1),(207,1)}
       172:{3,5}:{(133,1),(136,1)}
       173:{1,2,4,6}:{(134,1),(135,1),(141,1),(187,1),(206,1),(208,1),(209,1),(214,1),(255,1),(268,1),(294,1),(310,1)}
       174:{1,3,4,6}:{(135,1),(136,1),(188,1),(207,1),(208,1),(209,1),(247,1),(262,1)}
       175:{2,3,5}:{(137,1),(138,1),(205,1),(210,1),(211,1)}
       176:{2,4,5}:{(138,1),(139,1),(141,1),(210,1),(211,1)}
       177:{1,3,4,5}:{(139,1),(140,1),(142,1),(207,1),(211,1),(212,1),(262,1),(267,1)}
       178:{3,6}:{(141,1),(189,1),(211,1)}
       179:{2,4,6}:{(142,1),(143,1),(190,1),(212,1),(213,1),(214,1),(268,1)}
       180:{1,5,6}:{(143,1),(191,1),(214,1),(264,1),(289,1)}
       181:{2,5,6,7}:{(144,1),(145,1),(165,1),(215,1),(216,1)}
       182:{1,4,6,7}:{(144,1),(146,1),(166,1),(216,1),(301,1)}
       183:{1,5,6}:{(145,1),(147,1),(217,1)}
       184:{2,4,6}:{(145,1),(146,1),(148,1),(217,1),(218,1),(270,1)}
       185:{1,4,5,7}:{(147,1),(148,1),(150,1),(171,1),(217,1),(219,1)}
       186:{3,5,7}:{(148,1),(151,1),(172,1),(218,1)}
       187:{1,2,4,7}:{(149,1),(150,1),(152,1),(173,1),(220,1),(221,1),(223,1),(273,1),(274,1),(303,1),(313,1)}
       188:{1,3,4,7}:{(150,1),(151,1),(174,1),(219,1),(220,1),(221,1)}
       189:{3,7}:{(152,1),(178,1)}
       190:{2,4,7}:{(153,1),(154,1),(179,1),(222,1),(223,1),(273,1)}
       191:{1,5,7}:{(154,1),(155,1),(180,1),(223,1)}
       192:{1,3,6,7}:{(156,1),(158,1),(164,1),(224,1),(225,1),(301,1)}
       193:{2,3,5,7}:{(156,1),(159,1),(165,1),(225,1),(226,1),(234,1),(281,1),(302,1)}
       194:{2,6}:{(157,1),(158,1)}
       195:{1,3,5,6}:{(158,1),(159,1),(162,1),(167,1),(225,1),(227,1),(228,1),(276,1),(282,1),(304,1)}
       196:{2,4,6}:{(159,1),(163,1),(226,1),(228,1),(229,1)}
       197:{2,3,6}:{(160,1),(161,1),(169,1),(230,1),(276,1),(314,1)}
       198:{2,5}:{(161,1),(162,1)}
       199:{1,4,5}:{(162,1),(163,1),(228,1),(231,1),(236,1)}
       200:{3,4,5}:{(163,1),(172,1),(229,1),(241,1)}
       201:{1,5,7}:{(164,1),(165,1),(167,1)}
       202:{2,4,5,7}:{(165,1),(166,1),(168,1),(216,1),(226,1),(233,1),(234,1),(274,1),(281,1)}
       203:{1,4,5,6}:{(167,1),(168,1),(171,1),(217,1),(228,1),(233,1),(235,1)}
       204:{3,5,6}:{(168,1),(172,1),(218,1),(229,1),(234,1),(276,1)}
       205:{1,3,5}:{(169,1),(170,1),(175,1),(230,1),(236,1)}
       206:{1,2,4,5}:{(170,1),(171,1),(173,1),(176,1),(231,1),(236,1),(237,1),(238,1),(243,1),(280,1),(283,1),(287,1),(306,1),(307,1)}
       207:{1,3,5}:{(171,1),(172,1),(174,1),(238,1)}
       208:{1,3,6}:{(173,1),(178,1),(220,1),(237,1),(239,1),(276,1)}
       209:{2,4,6}:{(174,1),(221,1),(238,1),(239,1),(240,1),(270,1),(283,1)}
       210:{2,4}:{(175,1),(236,1),(241,1)}
       211:{3,5}:{(176,1),(178,1),(241,1)}
       212:{2,4,5}:{(177,1),(179,1),(238,1),(242,1),(243,1),(283,1),(287,1)}
       213:{2,3,6}:{(178,1),(179,1),(222,1),(242,1),(244,1)}
       214:{1,4,6}:{(179,1),(180,1),(223,1),(243,1),(244,1)}
       215:{1,5,6,7}:{(181,1),(183,1),(201,1),(245,1)}
       216:{2,4,6,7}:{(181,1),(182,1),(184,1),(202,1),(245,1),(246,1),(288,1)}
       217:{1,4,6}:{(183,1),(184,1),(185,1),(247,1)}
       218:{3,6}:{(184,1),(186,1)}
       219:{1,3,5,7}:{(185,1),(186,1),(188,1),(207,1),(247,1),(248,1)}
       220:{1,3,7}:{(187,1),(189,1),(208,1),(249,1),(291,1)}
       221:{2,4,7}:{(188,1),(209,1),(248,1),(249,1),(250,1)}
       222:{2,3,7}:{(189,1),(190,1),(213,1),(251,1)}
       223:{1,4,7}:{(190,1),(191,1),(214,1),(251,1)}
       224:{2,6,7}:{(192,1),(194,1),(252,1)}
       225:{1,3,5,7}:{(192,1),(193,1),(195,1),(201,1),(252,1),(253,1),(291,1),(297,1),(309,1)}
       226:{2,4,7}:{(193,1),(196,1),(253,1),(254,1)}
       227:{2,5,6}:{(194,1),(195,1),(198,1),(252,1),(255,1),(310,1)}
       228:{1,4,6}:{(195,1),(196,1),(199,1),(253,1),(255,1)}
       229:{3,4,6}:{(196,1),(200,1),(204,1),(254,1)}
       230:{2,3,5}:{(197,1),(198,1),(205,1),(257,1),(258,1)}
       231:{2,4,5}:{(198,1),(199,1),(255,1),(257,1),(258,1)}
       232:{1,3,4,5}:{(199,1),(200,1),(207,1),(256,1),(258,1),(259,1),(262,1),(296,1)}
       233:{1,4,5,7}:{(201,1),(202,1),(203,1),(245,1),(253,1),(260,1)}
       234:{3,5,7}:{(202,1),(204,1),(246,1),(254,1),(291,1)}
       235:{1,3,5,6}:{(203,1),(204,1),(207,1),(247,1),(256,1),(260,1),(261,1)}
       236:{1,4}:{(205,1),(210,1),(257,1)}
       237:{1,3,5}:{(206,1),(208,1),(211,1),(258,1),(262,1),(263,1),(312,1)}
       238:{2,5}:{(207,1),(209,1),(264,1)}
       239:{2,3,6}:{(208,1),(209,1),(249,1),(263,1),(265,1),(268,1),(310,1)}
       240:{1,4,6}:{(209,1),(250,1),(264,1),(265,1),(289,1),(298,1)}
       241:{3,4}:{(210,1),(211,1)}
       242:{2,3,5}:{(211,1),(212,1),(213,1),(266,1),(267,1)}
       243:{1,4,5}:{(212,1),(214,1),(264,1),(267,1),(298,1)}
       244:{1,3,6}:{(213,1),(214,1),(251,1),(267,1),(268,1)}
       245:{1,4,6,7}:{(215,1),(216,1),(217,1),(233,1),(269,1)}
       246:{3,6,7}:{(216,1),(218,1),(234,1)}
       247:{1,3,6}:{(217,1),(218,1),(219,1),(270,1)}
       248:{2,5,7}:{(219,1),(221,1),(238,1),(270,1),(271,1)}
       249:{2,3,7}:{(220,1),(221,1),(239,1),(272,1),(273,1),(313,1)}
       250:{1,4,7}:{(221,1),(240,1),(271,1),(272,1)}
       251:{1,3,7}:{(222,1),(223,1),(244,1),(273,1)}
       252:{2,5,7}:{(224,1),(225,1),(227,1),(274,1),(313,1)}
       253:{1,4,7}:{(225,1),(226,1),(228,1),(274,1)}
       254:{3,4,7}:{(226,1),(229,1),(234,1)}
       255:{2,4,6}:{(227,1),(228,1),(231,1),(274,1),(276,1)}
       256:{1,3,4,6}:{(228,1),(229,1),(232,1),(235,1),(275,1),(276,1),(277,1),(304,1)}
       257:{2,4}:{(230,1),(236,1),(278,1)}
       258:{3,5}:{(231,1),(276,1),(278,1)}
       259:{2,4,5}:{(232,1),(238,1),(277,1),(279,1),(280,1),(283,1),(306,1)}
       260:{1,3,5,7}:{(233,1),(234,1),(235,1),(269,1),(275,1),(281,1)}
       261:{2,5,6}:{(235,1),(238,1),(270,1),(277,1),(281,1),(282,1)}
       262:{1,3,4}:{(236,1),(237,1),(241,1),(278,1),(283,1)}
       263:{2,3,5}:{(237,1),(238,1),(239,1),(283,1),(284,1),(287,1),(306,1),(308,1),(314,1)}
       264:{1,5}:{(238,1),(240,1)}
       265:{1,3,6}:{(239,1),(240,1),(272,1),(284,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(283,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(273,1),(287,1)}
       269:{1,3,6,7}:{(245,1),(246,1),(247,1),(260,1),(288,1)}
       270:{2,6}:{(247,1),(248,1),(289,1)}
       271:{1,5,7}:{(248,1),(250,1),(264,1),(289,1)}
       272:{1,3,7}:{(249,1),(250,1),(265,1),(290,1)}
       273:{2,7}:{(251,1),(268,1)}
       274:{2,4,7}:{(252,1),(253,1),(255,1),(291,1)}
       275:{1,3,4,7}:{(253,1),(254,1),(256,1),(260,1),(291,1),(292,1),(309,1)}
       276:{3,6}:{(255,1),(258,1),(291,1)}
       277:{2,4,6}:{(256,1),(259,1),(261,1),(292,1),(293,1),(294,1),(310,1)}
       278:{3,4}:{(257,1),(258,1)}
       279:{2,3,5}:{(258,1),(259,1),(293,1),(295,1),(296,1)}
       280:{1,4,5}:{(259,1),(264,1),(294,1),(296,1),(298,1)}
       281:{2,5,7}:{(260,1),(261,1),(288,1),(292,1),(297,1)}
       282:{1,5,6}:{(261,1),(264,1),(289,1),(294,1),(297,1)}
       283:{2,4}:{(262,1),(263,1),(298,1)}
       284:{1,3,5}:{(263,1),(264,1),(265,1),(298,1),(299,1),(312,1)}
       285:{1,2,6}:{(265,1),(268,1),(290,1),(299,1),(310,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{2,6,7}:{(269,1),(270,1),(281,1),(301,1)}
       289:{1,6}:{(270,1),(271,1)}
       290:{1,2,7}:{(272,1),(273,1),(285,1),(313,1)}
       291:{3,7}:{(274,1),(276,1)}
       292:{2,4,7}:{(275,1),(277,1),(281,1),(302,1),(303,1),(313,1)}
       293:{2,3,6}:{(276,1),(277,1),(279,1),(302,1),(304,1)}
       294:{1,4,6}:{(277,1),(280,1),(282,1),(303,1),(304,1)}
       295:{2,3,4}:{(278,1),(279,1),(283,1),(305,1),(308,1)}
       296:{1,3,5}:{(279,1),(280,1),(304,1),(305,1),(306,1)}
       297:{1,5,7}:{(281,1),(282,1),(301,1),(303,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{1,2,5}:{(284,1),(285,1),(287,1),(306,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{1,6,7}:{(288,1),(289,1),(297,1)}
       302:{2,3,7}:{(291,1),(292,1),(293,1),(309,1)}
       303:{1,4,7}:{(292,1),(294,1),(297,1),(309,1)}
       304:{1,3,6}:{(293,1),(294,1),(296,1),(309,1),(310,1)}
       305:{1,3,4}:{(295,1),(296,1),(298,1),(311,1),(312,1)}
       306:{2,5}:{(296,1),(310,1),(311,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1547 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(46,1),(135,1),(142,1),(157,1),(162,1),(197,1),(200,1),(206,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(21,1),(28,1),(107,1),(111,1),(128,1),(131,1),(174,1),(194,1),(228,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(69,1),(127,1),(224,1),(227,1),(233,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(77,1),(90,1),(135,1),(142,1),(145,1),(148,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(45,1),(90,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(14,1),(45,1),(144,1),(156,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(37,1),(82,1),(100,1),(205,1),(222,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(48,1),(98,1),(101,1),(253,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(207,1),(210,1)}
         9:{1,3,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(24,1),(54,1),(63,1),(107,1),(111,1),(121,1),(174,1),(181,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(21,1),(22,1),(177,1),(180,1)}
        11:{1,3,5,6,7}:{(4,1),(21,1),(23,1),(24,1),(63,1),(67,1),(121,1)}
        12:{2,4,6,7}:{(4,1),(22,1),(24,1),(25,1)}
        13:{1,4,5,6,7}:{(5,1),(24,1),(26,1),(27,1),(67,1),(115,1),(124,1)}
        14:{3,5,6,7}:{(5,1),(25,1),(177,1),(188,1)}
        15:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(55,1),(68,1),(107,1),(126,1),(128,1),(166,1),(228,1),(229,1),(247,1),(273,1)}
        16:{2,3,5,7}:{(6,1),(28,1),(30,1),(31,1),(73,1),(232,1),(249,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(21,1),(32,1),(33,1),(75,1),(238,1)}
        19:{2,4,5,6}:{(8,1),(22,1),(33,1),(34,1),(127,1)}
        20:{2,4,6,7}:{(9,1),(17,1),(36,1),(37,1),(82,1),(153,1),(205,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(18,1),(37,1),(38,1),(83,1),(211,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(19,1),(38,1),(39,1),(135,1)}
        23:{2,5,6,7}:{(11,1),(37,1),(42,1),(153,1)}
        24:{1,4,6,7}:{(11,1),(12,1),(38,1),(42,1)}
        25:{3,4,6,7}:{(12,1),(14,1),(39,1)}
        26:{2,4,5,6,7}:{(13,1),(42,1),(44,1),(45,1),(88,1),(93,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(45,1),(147,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(46,1),(47,1),(48,1),(97,1),(197,1),(255,1),(270,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(48,1),(49,1),(95,1),(98,1),(196,1),(253,1),(289,1)}
        30:{2,3,4,7}:{(16,1),(47,1),(50,1),(82,1),(271,1)}
        31:{2,3,6}:{(16,1),(17,1),(48,1)}
        32:{2,5,6}:{(17,1),(18,1),(37,1)}
        33:{1,4,5,6}:{(18,1),(19,1),(38,1),(52,1),(98,1)}
        34:{3,4,5,6}:{(19,1),(39,1),(158,1),(207,1)}
        35:{1,2,4,6,7}:{(20,1),(29,1),(54,1),(55,1),(104,1),(107,1),(181,1),(182,1),(229,1)}
        36:{2,3,6,7}:{(20,1),(31,1),(54,1),(57,1),(63,1),(232,1)}
        37:{2,5,7}:{(20,1),(21,1),(32,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(24,1),(33,1),(58,1),(107,1)}
        39:{3,4,5,7}:{(22,1),(25,1),(34,1),(167,1),(177,1)}
        40:{1,2,5,6,7}:{(23,1),(55,1),(60,1),(61,1),(67,1),(125,1),(165,1),(180,1),(182,1),(238,1),(239,1),(281,1)}
        41:{2,3,5,6,7}:{(23,1),(57,1),(60,1),(62,1),(63,1),(109,1),(117,1),(119,1),(180,1),(281,1),(282,1),(305,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(58,1),(63,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1),(64,1),(65,1),(121,1),(124,1),(188,1)}
        44:{3,5,6,7}:{(26,1),(63,1),(65,1),(119,1)}
        45:{2,5,6,7}:{(27,1),(64,1),(67,1),(180,1)}
        46:{2,3,5,7}:{(28,1),(68,1),(69,1),(126,1),(273,1),(274,1),(287,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(68,1),(70,1),(107,1),(167,1),(288,1)}
        48:{1,3,6}:{(28,1),(29,1),(31,1),(69,1),(224,1)}
        49:{1,2,5,6}:{(29,1),(32,1),(55,1),(71,1),(126,1),(165,1),(238,1)}
        50:{2,3,4,6}:{(30,1),(31,1),(70,1),(73,1),(74,1)}
        51:{2,3,5,6}:{(31,1),(32,1),(57,1),(71,1),(73,1),(74,1),(75,1)}
        52:{2,4,5,6}:{(32,1),(33,1),(58,1),(74,1),(75,1)}
        53:{1,3,4,5,6}:{(33,1),(34,1),(59,1),(75,1),(76,1),(122,1),(129,1),(133,1),(179,1),(186,1),(243,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(48,1),(77,1),(79,1),(255,1)}
        55:{1,2,5,7}:{(35,1),(37,1),(49,1),(79,1),(134,1),(211,1)}
        56:{2,3,4,6,7}:{(36,1),(50,1),(78,1),(81,1),(82,1),(89,1),(140,1),(148,1),(198,1),(250,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(51,1),(79,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(52,1),(82,1),(83,1)}
        59:{1,3,4,5,7}:{(38,1),(39,1),(43,1),(53,1),(83,1),(84,1),(92,1),(138,1),(143,1),(147,1),(155,1),(217,1)}
        60:{1,3,5,6,7}:{(40,1),(41,1),(79,1),(85,1),(86,1),(87,1),(136,1),(147,1),(149,1),(211,1),(260,1),(264,1)}
        61:{1,2,4,6,7}:{(40,1),(42,1),(80,1),(86,1),(87,1),(91,1),(148,1),(153,1),(156,1),(196,1),(253,1),(289,1),(294,1)}
        62:{2,4,6,7}:{(41,1),(82,1),(86,1),(88,1),(89,1),(140,1),(294,1),(297,1)}
        63:{3,6,7}:{(42,1),(83,1)}
        64:{2,4,6,7}:{(43,1),(45,1),(84,1),(90,1),(91,1),(153,1)}
        65:{3,4,6,7}:{(44,1),(92,1),(93,1)}
        66:{2,3,5,6,7}:{(44,1),(45,1),(90,1),(93,1),(94,1),(151,1)}
        67:{1,5,6,7}:{(45,1),(91,1),(211,1)}
        68:{2,4,7}:{(46,1),(47,1),(95,1),(300,1)}
        69:{2,3,6}:{(46,1),(48,1),(95,1),(289,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(50,1),(95,1),(97,1),(98,1),(158,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(79,1),(96,1),(97,1),(98,1)}
        72:{1,2,4,5,6}:{(49,1),(52,1),(80,1),(98,1),(99,1),(103,1),(146,1),(157,1),(160,1),(164,1),(196,1),(210,1),(216,1),(220,1),(221,1),(253,1),(263,1),(268,1),(289,1),(294,1),(298,1),(312,1)}
        73:{2,3,5}:{(50,1),(97,1),(100,1)}
        74:{2,4,6}:{(51,1),(82,1),(98,1),(100,1),(101,1)}
        75:{3,5,6}:{(52,1),(83,1),(101,1)}
        76:{2,4,5,6}:{(53,1),(84,1),(102,1),(103,1),(160,1),(164,1),(210,1)}
        77:{2,3,6,7}:{(54,1),(69,1),(104,1),(105,1),(224,1),(274,1)}
        78:{1,3,4,6,7}:{(54,1),(56,1),(70,1),(104,1),(106,1),(107,1),(167,1),(168,1),(181,1),(224,1),(226,1),(272,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(57,1),(71,1),(105,1),(107,1)}
        80:{1,2,4,5,7}:{(55,1),(58,1),(61,1),(72,1),(107,1),(108,1),(113,1),(115,1),(166,1),(170,1),(175,1),(180,1),(187,1),(228,1),(229,1),(239,1),(273,1),(280,1),(284,1)}
        81:{2,3,5,7}:{(56,1),(73,1),(106,1),(109,1),(110,1),(119,1),(180,1)}
        82:{2,4,7}:{(57,1),(74,1),(107,1),(111,1)}
        83:{3,5,7}:{(58,1),(63,1),(75,1),(111,1)}
        84:{2,4,5,7}:{(59,1),(64,1),(76,1),(112,1),(113,1),(170,1),(175,1),(180,1)}
        85:{2,3,5,6,7}:{(60,1),(105,1),(114,1),(117,1),(125,1),(165,1),(177,1),(180,1),(188,1),(224,1),(235,1),(242,1)}
        86:{1,4,6,7}:{(60,1),(62,1),(107,1),(114,1),(115,1),(168,1),(279,1),(284,1)}
        87:{1,3,6,7}:{(61,1),(63,1),(108,1),(117,1),(188,1),(224,1),(272,1),(305,1)}
        88:{2,4,5,7}:{(62,1),(115,1),(118,1),(119,1),(180,1)}
        89:{3,4,6,7}:{(62,1),(63,1),(111,1),(119,1),(172,1),(305,1),(306,1)}
        90:{2,3,6,7}:{(63,1),(64,1),(112,1),(121,1),(188,1)}
        91:{1,4,6,7}:{(64,1),(67,1),(113,1),(121,1)}
        92:{3,4,5,7}:{(65,1),(119,1),(122,1),(123,1),(306,1)}
        93:{2,4,6,7}:{(65,1),(66,1),(123,1),(124,1)}
        94:{1,3,5,6,7}:{(66,1),(67,1),(121,1),(124,1),(125,1),(184,1),(188,1)}
        95:{2,4,6}:{(68,1),(69,1),(70,1),(126,1)}
        96:{2,3,5,6}:{(69,1),(71,1),(105,1),(126,1),(127,1),(165,1),(189,1),(224,1)}
        97:{1,3,5}:{(70,1),(73,1),(126,1),(128,1),(189,1)}
        98:{1,4,6}:{(71,1),(74,1),(107,1),(127,1),(128,1)}
        99:{1,3,5,6}:{(72,1),(75,1),(108,1),(129,1),(130,1),(189,1),(224,1),(243,1),(245,1),(248,1),(272,1),(305,1),(314,1)}
       100:{2,4,5}:{(73,1),(74,1),(128,1),(131,1)}
       101:{3,4,6}:{(74,1),(75,1),(111,1),(131,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(112,1),(132,1),(133,1),(243,1)}
       103:{1,4,5,6}:{(76,1),(113,1),(133,1),(192,1),(238,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(95,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(96,1),(134,1),(135,1),(197,1)}
       106:{1,3,5,7}:{(78,1),(81,1),(97,1),(134,1),(136,1),(137,1),(197,1),(211,1)}
       107:{1,4,7}:{(79,1),(82,1),(98,1),(135,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(87,1),(99,1),(138,1),(139,1),(197,1),(217,1),(255,1),(295,1)}
       109:{2,3,5,6}:{(81,1),(136,1),(140,1),(150,1),(210,1),(250,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(100,1),(137,1),(140,1),(141,1)}
       111:{3,4,7}:{(82,1),(83,1),(101,1)}
       112:{2,3,5,7}:{(83,1),(84,1),(90,1),(102,1),(142,1),(143,1),(217,1)}
       113:{1,4,5,7}:{(84,1),(91,1),(103,1),(143,1),(201,1),(211,1)}
       114:{2,4,6,7}:{(85,1),(86,1),(135,1),(144,1),(145,1),(196,1),(258,1),(266,1)}
       115:{1,4,5,7}:{(86,1),(88,1),(144,1),(146,1),(147,1),(211,1)}
       116:{1,3,4,6,7}:{(86,1),(87,1),(89,1),(138,1),(145,1),(147,1),(148,1),(199,1)}
       117:{2,3,6,7}:{(87,1),(139,1),(148,1),(149,1),(153,1),(250,1),(289,1)}
       118:{2,4,5,6}:{(88,1),(140,1),(146,1),(150,1),(210,1),(294,1)}
       119:{3,5,7}:{(88,1),(89,1),(150,1)}
       120:{2,3,4,6,7}:{(89,1),(90,1),(93,1),(142,1),(148,1),(151,1),(152,1),(203,1),(262,1),(297,1)}
       121:{1,3,6,7}:{(90,1),(91,1),(143,1),(153,1)}
       122:{3,4,5,6}:{(92,1),(150,1),(154,1),(311,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(151,1),(154,1),(155,1),(297,1)}
       124:{1,4,6,7}:{(93,1),(94,1),(155,1),(156,1)}
       125:{2,5,6,7}:{(94,1),(153,1),(156,1),(214,1)}
       126:{2,5}:{(95,1),(97,1)}
       127:{2,4,6}:{(96,1),(98,1),(135,1),(157,1),(158,1)}
       128:{1,4,5}:{(97,1),(98,1),(100,1),(157,1)}
       129:{1,3,4,6}:{(98,1),(99,1),(101,1),(138,1),(158,1),(159,1),(160,1),(267,1),(298,1),(311,1)}
       130:{2,3,5,6}:{(99,1),(139,1),(160,1),(161,1),(164,1),(210,1),(218,1),(223,1),(250,1),(268,1),(269,1),(289,1)}
       131:{3,4,5}:{(100,1),(101,1)}
       132:{2,3,4,6}:{(101,1),(102,1),(142,1),(160,1),(162,1),(163,1),(267,1),(269,1)}
       133:{1,3,5,6}:{(102,1),(103,1),(143,1),(163,1),(164,1)}
       134:{2,5,7}:{(104,1),(106,1),(126,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(127,1),(167,1)}
       136:{1,3,5,6}:{(106,1),(109,1),(165,1),(168,1),(224,1),(238,1),(272,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(110,1),(128,1),(166,1),(168,1)}
       138:{1,3,4,7}:{(107,1),(108,1),(111,1),(129,1),(167,1),(170,1),(244,1),(284,1),(306,1)}
       139:{2,3,5,7}:{(108,1),(117,1),(130,1),(170,1),(171,1),(175,1),(180,1),(232,1),(273,1),(274,1)}
       140:{2,4,6}:{(109,1),(110,1),(168,1),(172,1)}
       141:{3,4,5,7}:{(110,1),(111,1),(119,1),(131,1),(172,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(132,1),(170,1),(174,1),(244,1),(274,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(121,1),(133,1),(174,1),(175,1)}
       144:{2,4,5,7}:{(114,1),(115,1),(176,1),(177,1),(180,1)}
       145:{3,4,6,7}:{(114,1),(167,1),(177,1),(188,1),(224,1),(233,1),(244,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(168,1),(176,1),(179,1),(238,1),(279,1)}
       147:{1,3,5,7}:{(115,1),(116,1),(119,1),(177,1),(179,1),(180,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(170,1),(180,1),(181,1),(227,1)}
       149:{1,3,6,7}:{(117,1),(171,1),(181,1),(182,1),(272,1)}
       150:{3,5,6}:{(118,1),(119,1),(172,1),(305,1)}
       151:{2,3,5,7}:{(119,1),(120,1),(123,1),(180,1),(183,1),(184,1)}
       152:{1,3,4,6,7}:{(120,1),(121,1),(124,1),(174,1),(181,1),(184,1),(185,1),(188,1),(230,1),(240,1),(244,1),(284,1)}
       153:{2,6,7}:{(121,1),(175,1)}
       154:{2,4,5,6}:{(122,1),(123,1),(183,1),(186,1),(307,1)}
       155:{1,4,5,7}:{(123,1),(124,1),(184,1),(186,1),(187,1),(284,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(187,1),(188,1)}
       157:{2,4,5}:{(126,1),(127,1),(128,1),(189,1)}
       158:{3,4,6}:{(127,1),(167,1),(189,1),(224,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(131,1),(189,1),(191,1),(245,1),(286,1),(308,1),(314,1)}
       160:{2,4,6}:{(129,1),(130,1),(170,1),(191,1),(192,1)}
       161:{1,3,5,6}:{(130,1),(171,1),(192,1),(193,1),(238,1),(245,1),(248,1),(272,1)}
       162:{2,3,4,5}:{(131,1),(132,1),(191,1),(194,1),(286,1),(287,1)}
       163:{1,3,4,6}:{(132,1),(133,1),(174,1),(192,1),(194,1),(195,1),(248,1)}
       164:{2,5,6}:{(133,1),(175,1),(195,1)}
       165:{2,5,6}:{(134,1),(136,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(157,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(158,1),(197,1)}
       168:{1,4,6}:{(136,1),(137,1),(140,1),(196,1)}
       169:{1,3,4,5,7}:{(137,1),(138,1),(141,1),(147,1),(159,1),(197,1),(199,1),(200,1),(206,1),(251,1),(259,1),(295,1)}
       170:{2,4,7}:{(138,1),(139,1),(160,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(149,1),(161,1),(201,1),(202,1),(211,1),(255,1)}
       172:{3,4,6}:{(140,1),(141,1),(150,1)}
       173:{2,3,4,5,7}:{(141,1),(142,1),(151,1),(162,1),(200,1),(203,1),(204,1),(290,1),(295,1),(297,1),(312,1)}
       174:{1,3,4,7}:{(142,1),(143,1),(163,1),(201,1),(205,1),(255,1)}
       175:{2,5,7}:{(143,1),(153,1),(164,1),(205,1)}
       176:{2,4,5,6}:{(144,1),(146,1),(196,1),(207,1),(210,1),(258,1)}
       177:{3,5,7}:{(144,1),(145,1),(207,1)}
       178:{2,3,4,6,7}:{(145,1),(148,1),(198,1),(208,1),(209,1),(215,1),(250,1),(258,1),(266,1),(293,1)}
       179:{1,3,5,6}:{(146,1),(147,1),(150,1),(199,1),(207,1),(210,1)}
       180:{2,5,7}:{(147,1),(148,1),(210,1),(211,1)}
       181:{1,4,6,7}:{(148,1),(149,1),(201,1),(211,1),(253,1)}
       182:{1,2,6,7}:{(149,1),(153,1),(202,1),(289,1)}
       183:{2,3,5,6}:{(150,1),(151,1),(154,1),(203,1),(210,1),(213,1)}
       184:{1,3,5,7}:{(151,1),(152,1),(155,1),(211,1),(213,1),(214,1),(217,1)}
       185:{2,4,6,7}:{(152,1),(153,1),(205,1),(214,1),(215,1),(256,1),(266,1)}
       186:{1,4,5,6}:{(154,1),(155,1),(213,1),(216,1),(298,1)}
       187:{2,4,5,7}:{(155,1),(156,1),(214,1),(216,1),(217,1),(266,1)}
       188:{3,6,7}:{(156,1),(217,1)}
       189:{3,5}:{(157,1),(158,1)}
       190:{2,3,4,6}:{(158,1),(160,1),(198,1),(218,1),(219,1),(223,1),(250,1),(271,1),(311,1)}
       191:{2,4,5}:{(159,1),(160,1),(218,1),(220,1),(268,1)}
       192:{1,4,6}:{(160,1),(161,1),(201,1),(220,1)}
       193:{1,2,5,6}:{(161,1),(164,1),(202,1),(221,1),(268,1),(289,1)}
       194:{1,3,4,5}:{(162,1),(163,1),(220,1),(222,1),(270,1)}
       195:{2,4,6}:{(163,1),(164,1),(205,1),(222,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(168,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(189,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(170,1),(190,1),(225,1),(226,1),(232,1),(306,1)}
       199:{1,3,4,6}:{(168,1),(169,1),(172,1),(179,1),(224,1),(227,1),(233,1),(272,1),(279,1),(305,1)}
       200:{2,4,5,7}:{(169,1),(170,1),(180,1),(191,1),(225,1),(227,1),(228,1),(273,1)}
       201:{1,4,7}:{(170,1),(171,1),(192,1)}
       202:{1,2,5,7}:{(171,1),(175,1),(182,1),(193,1),(229,1),(273,1)}
       203:{2,3,4,6}:{(172,1),(173,1),(183,1),(227,1),(230,1),(301,1),(305,1),(307,1)}
       204:{1,3,4,5,7}:{(173,1),(174,1),(184,1),(194,1),(228,1),(230,1),(231,1),(244,1),(276,1),(284,1),(286,1),(308,1)}
       205:{2,4,7}:{(174,1),(175,1),(195,1),(232,1)}
       206:{3,4,5,7}:{(177,1),(233,1),(234,1),(244,1),(286,1)}
       207:{3,5,6}:{(176,1),(177,1),(224,1),(233,1)}
       208:{2,3,5,7}:{(177,1),(178,1),(180,1),(234,1),(235,1),(236,1),(304,1)}
       209:{1,3,4,6,7}:{(178,1),(181,1),(226,1),(236,1),(237,1),(240,1),(272,1),(279,1),(284,1),(303,1),(305,1),(306,1)}
       210:{2,5,6}:{(179,1),(180,1),(227,1),(238,1)}
       211:{1,5,7}:{(180,1),(181,1),(238,1)}
       212:{1,2,4,6,7}:{(181,1),(182,1),(185,1),(229,1),(237,1),(239,1),(240,1),(275,1),(284,1)}
       213:{1,3,5,6}:{(183,1),(184,1),(186,1),(230,1),(238,1),(241,1),(243,1)}
       214:{2,5,7}:{(184,1),(185,1),(241,1)}
       215:{2,3,6,7}:{(185,1),(188,1),(232,1),(240,1),(242,1),(277,1)}
       216:{2,4,5,6}:{(186,1),(187,1),(241,1),(243,1),(285,1)}
       217:{3,5,7}:{(187,1),(188,1),(243,1),(244,1)}
       218:{2,3,5}:{(189,1),(190,1),(191,1),(245,1),(314,1)}
       219:{1,3,4,6}:{(190,1),(192,1),(226,1),(245,1),(246,1),(248,1),(272,1),(288,1)}
       220:{1,4,5}:{(191,1),(192,1),(245,1)}
       221:{1,2,4,6}:{(192,1),(193,1),(195,1),(229,1),(246,1),(247,1),(248,1)}
       222:{2,4,5}:{(194,1),(195,1),(249,1)}
       223:{2,3,6}:{(195,1),(232,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(200,1),(218,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,7}:{(198,1),(201,1),(219,1),(251,1),(252,1),(255,1)}
       227:{2,4,6}:{(199,1),(200,1),(210,1),(250,1),(253,1),(289,1)}
       228:{1,4,5,7}:{(200,1),(201,1),(211,1),(220,1),(251,1),(253,1)}
       229:{1,2,4,7}:{(201,1),(202,1),(205,1),(221,1),(252,1),(255,1)}
       230:{1,3,4,6}:{(203,1),(204,1),(213,1),(253,1),(256,1),(267,1),(291,1),(298,1)}
       231:{2,4,5,7}:{(204,1),(205,1),(214,1),(222,1),(256,1),(257,1),(266,1),(299,1)}
       232:{2,3,7}:{(205,1),(223,1),(255,1)}
       233:{3,4,6}:{(206,1),(207,1),(258,1)}
       234:{2,4,5,7}:{(206,1),(208,1),(258,1),(259,1),(266,1),(299,1)}
       235:{2,3,5,6}:{(207,1),(208,1),(210,1),(250,1),(258,1),(260,1)}
       236:{1,3,5,7}:{(208,1),(209,1),(211,1),(259,1),(260,1),(261,1),(295,1),(310,1)}
       237:{2,4,6,7}:{(209,1),(252,1),(261,1),(262,1),(289,1),(294,1),(297,1),(309,1)}
       238:{1,5,6}:{(210,1),(211,1),(253,1)}
       239:{1,2,5,7}:{(211,1),(212,1),(214,1),(261,1),(263,1),(264,1)}
       240:{1,3,6,7}:{(212,1),(215,1),(255,1),(262,1),(264,1),(291,1)}
       241:{2,5,6}:{(213,1),(214,1),(256,1)}
       242:{2,3,5,7}:{(214,1),(215,1),(217,1),(264,1),(265,1),(266,1)}
       243:{3,5,6}:{(216,1),(217,1),(267,1)}
       244:{3,4,7}:{(217,1),(266,1),(267,1)}
       245:{1,3,5}:{(218,1),(219,1),(220,1),(268,1)}
       246:{2,4,6}:{(219,1),(252,1),(268,1),(269,1),(289,1),(300,1)}
       247:{1,2,4,5}:{(220,1),(221,1),(222,1),(268,1),(270,1),(300,1)}
       248:{1,3,6}:{(221,1),(223,1),(255,1),(269,1),(270,1)}
       249:{2,3,5}:{(222,1),(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(228,1),(245,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(246,1),(273,1),(274,1)}
       253:{1,4,6}:{(227,1),(228,1),(238,1),(272,1)}
       254:{1,2,4,5,7}:{(228,1),(229,1),(231,1),(239,1),(247,1),(273,1),(275,1),(276,1),(280,1),(284,1),(302,1),(308,1),(313,1)}
       255:{1,3,7}:{(229,1),(232,1),(248,1),(274,1)}
       256:{2,4,6}:{(230,1),(231,1),(241,1),(277,1)}
       257:{2,3,5,7}:{(231,1),(232,1),(249,1),(276,1),(277,1),(278,1),(304,1)}
       258:{2,4,6}:{(233,1),(234,1),(235,1),(279,1)}
       259:{1,4,5,7}:{(234,1),(236,1),(279,1),(280,1),(284,1),(308,1)}
       260:{1,3,5,6}:{(235,1),(236,1),(238,1),(272,1),(279,1),(281,1),(305,1)}
       261:{2,5,7}:{(236,1),(237,1),(281,1),(313,1)}
       262:{2,3,6,7}:{(237,1),(240,1),(274,1),(282,1),(301,1),(305,1)}
       263:{1,2,5,6}:{(238,1),(239,1),(241,1),(275,1),(281,1),(283,1),(313,1)}
       264:{1,3,5,7}:{(239,1),(240,1),(242,1),(282,1),(283,1),(284,1)}
       265:{2,3,5,6}:{(241,1),(242,1),(243,1),(277,1),(283,1),(285,1),(304,1)}
       266:{2,4,7}:{(242,1),(244,1),(284,1),(285,1)}
       267:{3,4,6}:{(243,1),(244,1),(285,1),(286,1)}
       268:{2,5}:{(245,1),(246,1)}
       269:{2,3,6}:{(246,1),(248,1),(274,1),(287,1)}
       270:{1,3,5}:{(247,1),(248,1),(249,1),(287,1),(288,1)}
       271:{2,3,4}:{(249,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(253,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(268,1),(289,1)}
       274:{2,3,7}:{(252,1),(255,1),(269,1)}
       275:{1,2,4,6}:{(253,1),(254,1),(256,1),(263,1),(289,1),(291,1),(294,1),(298,1),(309,1)}
       276:{1,3,5,7}:{(254,1),(255,1),(257,1),(270,1),(290,1),(291,1),(292,1),(295,1),(310,1)}
       277:{2,3,6}:{(256,1),(257,1),(291,1)}
       278:{2,3,4,7}:{(257,1),(266,1),(271,1),(292,1),(293,1)}
       279:{1,4,6}:{(258,1),(259,1),(260,1),(294,1)}
       280:{2,4,5,7}:{(259,1),(261,1),(294,1),(295,1),(297,1),(312,1)}
       281:{2,5,6}:{(260,1),(261,1),(289,1),(294,1)}
       282:{2,3,5,7}:{(261,1),(262,1),(264,1),(295,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(263,1),(264,1),(265,1),(291,1),(296,1),(298,1),(310,1)}
       284:{1,4,7}:{(264,1),(266,1),(297,1),(298,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(298,1),(299,1)}
       286:{3,4,5}:{(267,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(270,1),(300,1)}
       288:{1,3,4}:{(270,1),(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(276,1),(287,1),(301,1),(302,1),(313,1)}
       291:{1,3,6}:{(275,1),(276,1),(277,1),(301,1),(305,1)}
       292:{1,3,4,7}:{(276,1),(278,1),(284,1),(288,1),(302,1),(303,1),(306,1)}
       293:{2,3,4,6}:{(277,1),(278,1),(285,1),(303,1),(304,1)}
       294:{2,4,6}:{(279,1),(280,1),(281,1),(305,1)}
       295:{3,5,7}:{(280,1),(305,1),(306,1),(314,1)}
       296:{2,3,5,6}:{(281,1),(282,1),(283,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       297:{2,4,7}:{(282,1),(284,1),(306,1),(307,1)}
       298:{1,4,6}:{(283,1),(284,1),(285,1),(307,1),(308,1)}
       299:{2,4,5}:{(285,1),(286,1),(304,1),(308,1)}
       300:{2,4}:{(287,1),(288,1)}
       301:{2,3,6}:{(289,1),(290,1),(291,1),(309,1)}
       302:{2,4,7}:{(290,1),(292,1),(300,1),(309,1)}
       303:{1,3,4,6}:{(291,1),(292,1),(293,1),(298,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(293,1),(299,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{3,4,7}:{(295,1),(297,1),(311,1)}
       307:{2,4,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       308:{1,4,5}:{(298,1),(299,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1548 :   0:{1,3,4,5,6}:{(1,1),(2,1),(9,1),(38,1),(100,1),(101,1),(154,1),(164,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(19,1),(55,1),(182,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(20,1),(61,1),(110,1),(111,1),(122,1),(176,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(164,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(12,1),(80,1),(209,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(35,1),(84,1),(150,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(36,1),(87,1),(88,1),(152,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(83,1),(93,1),(221,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(17,1),(18,1),(55,1),(102,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(176,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(22,1),(23,1),(48,1),(55,1),(112,1),(129,1),(132,1),(166,1),(178,1),(182,1),(187,1),(191,1),(224,1),(241,1),(270,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(20,1),(24,1),(113,1),(179,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(57,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(26,1),(65,1),(122,1)}
        15:{1,3,4,5}:{(7,1),(17,1),(27,1),(66,1),(112,1)}
        16:{2,3,4,5,7}:{(7,1),(18,1),(28,1),(29,1),(52,1),(116,1),(126,1),(226,1),(232,1),(233,1),(241,1),(246,1),(271,1),(274,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(15,1),(30,1),(31,1),(73,1),(80,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(84,1),(135,1),(206,1)}
        19:{2,5,6}:{(9,1),(30,1),(35,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(35,1),(36,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(36,1),(152,1)}
        22:{1,3,5,6}:{(11,1),(34,1),(38,1),(39,1),(73,1),(136,1),(164,1),(200,1),(263,1),(286,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(39,1),(40,1),(74,1),(84,1),(139,1),(143,1),(145,1),(150,1),(155,1),(197,1),(202,1),(250,1)}
        24:{1,4,6,7}:{(12,1),(13,1),(36,1),(41,1)}
        25:{2,5,6,7}:{(13,1),(14,1),(41,1),(150,1)}
        26:{1,4,5,6,7}:{(14,1),(42,1),(87,1),(155,1),(156,1)}
        27:{2,4,5}:{(15,1),(30,1),(44,1)}
        28:{1,3,4,5,7}:{(15,1),(16,1),(31,1),(45,1),(46,1),(78,1),(95,1),(145,1),(202,1),(206,1),(218,1),(221,1),(257,1),(268,1),(290,1)}
        29:{2,3,4,6}:{(16,1),(46,1),(47,1),(149,1),(158,1),(217,1),(256,1),(286,1),(289,1)}
        30:{2,4,6}:{(17,1),(19,1),(27,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(20,1),(50,1),(104,1),(113,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(29,1),(51,1),(52,1),(59,1),(117,1),(168,1),(184,1),(185,1),(226,1),(233,1),(237,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(54,1),(166,1),(224,1)}
        34:{2,3,5,6}:{(19,1),(22,1),(49,1),(53,1),(55,1),(56,1),(102,1),(106,1),(166,1),(173,1),(182,1),(224,1)}
        35:{2,5,7}:{(19,1),(20,1),(50,1),(57,1)}
        36:{1,3,6,7}:{(20,1),(21,1),(24,1),(57,1)}
        37:{2,3,5,6,7}:{(21,1),(25,1),(52,1),(58,1),(59,1),(65,1),(124,1),(185,1)}
        38:{1,3,4,6}:{(22,1),(55,1),(60,1),(61,1),(191,1),(194,1),(242,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(56,1),(61,1),(62,1),(104,1),(176,1),(271,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(62,1),(63,1),(117,1),(119,1),(123,1),(178,1),(224,1),(270,1)}
        41:{1,5,6,7}:{(24,1),(25,1),(179,1)}
        42:{2,4,5,6,7}:{(25,1),(26,1),(59,1),(64,1),(65,1),(119,1),(124,1),(183,1)}
        43:{1,2,4,5}:{(27,1),(48,1),(66,1),(112,1),(125,1),(166,1)}
        44:{2,3,5}:{(27,1),(49,1),(66,1),(68,1)}
        45:{2,4,5,7}:{(27,1),(28,1),(50,1),(69,1),(70,1),(109,1),(175,1),(193,1),(277,1),(284,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(70,1),(71,1),(128,1),(178,1),(191,1),(194,1),(302,1)}
        47:{2,3,5,6}:{(29,1),(52,1),(71,1),(72,1),(182,1),(239,1),(278,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(43,1),(73,1),(74,1),(80,1),(134,1)}
        49:{2,3,6}:{(30,1),(44,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(35,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(46,1),(77,1),(78,1),(87,1),(138,1),(146,1),(152,1),(202,1),(206,1),(215,1),(257,1),(261,1)}
        52:{2,3,5,7}:{(32,1),(47,1),(78,1),(79,1),(150,1),(214,1),(260,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(73,1),(80,1),(81,1),(136,1),(200,1),(209,1)}
        54:{1,2,5,7}:{(33,1),(35,1),(74,1),(81,1),(82,1),(197,1)}
        55:{2,4,6}:{(34,1),(38,1),(80,1),(83,1),(84,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(39,1),(76,1),(81,1),(84,1),(85,1),(135,1),(150,1),(197,1)}
        57:{2,6,7}:{(35,1),(36,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(41,1),(78,1),(86,1),(87,1),(152,1),(156,1),(215,1)}
        59:{2,4,6,7}:{(37,1),(79,1),(87,1),(88,1)}
        60:{1,3,4,5}:{(38,1),(83,1),(136,1),(218,1),(221,1),(263,1)}
        61:{1,3,4,7}:{(38,1),(39,1),(84,1),(202,1),(206,1),(251,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(85,1),(152,1),(200,1),(286,1)}
        63:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(91,1),(139,1),(150,1),(209,1),(249,1),(262,1)}
        64:{1,4,5,6,7}:{(41,1),(42,1),(87,1),(92,1),(210,1)}
        65:{3,5,6,7}:{(42,1),(88,1),(152,1),(214,1)}
        66:{1,3,5}:{(43,1),(44,1),(73,1),(93,1),(94,1)}
        67:{1,2,4,5,7}:{(43,1),(45,1),(74,1),(95,1),(96,1),(139,1),(145,1),(157,1),(197,1),(202,1),(216,1),(218,1),(250,1),(290,1),(291,1),(296,1),(309,1)}
        68:{2,3,4}:{(44,1),(94,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(76,1),(95,1),(97,1),(98,1),(162,1),(292,1),(298,1)}
        70:{2,4,6}:{(45,1),(46,1),(98,1),(99,1)}
        71:{1,3,5,6}:{(46,1),(47,1),(78,1),(99,1),(100,1),(164,1),(209,1),(293,1)}
        72:{2,4,5,6}:{(47,1),(79,1),(100,1),(101,1),(217,1)}
        73:{1,3,6}:{(48,1),(49,1),(66,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(54,1),(104,1),(113,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(68,1),(103,1),(106,1),(107,1),(173,1),(242,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(70,1),(108,1),(109,1),(175,1),(240,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(71,1),(109,1),(110,1),(176,1),(179,1),(279,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(72,1),(110,1),(111,1),(226,1)}
        80:{1,4,6}:{(53,1),(55,1),(112,1),(113,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(179,1)}
        82:{1,2,6,7}:{(54,1),(57,1),(114,1),(224,1)}
        83:{2,4,5}:{(55,1),(60,1),(106,1),(112,1),(166,1)}
        84:{2,4,7}:{(55,1),(56,1),(61,1),(113,1)}
        85:{2,3,6,7}:{(56,1),(57,1),(62,1),(114,1),(117,1),(173,1),(224,1)}
        86:{2,5,6,7}:{(57,1),(58,1),(109,1),(119,1),(240,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(110,1),(119,1)}
        88:{3,4,6,7}:{(59,1),(65,1),(111,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(116,1),(121,1),(122,1),(169,1),(228,1),(232,1),(271,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(117,1),(121,1),(122,1),(123,1),(184,1)}
        91:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(122,1),(123,1),(171,1),(227,1),(238,1),(279,1)}
        92:{1,3,5,6,7}:{(64,1),(65,1),(120,1),(124,1),(236,1)}
        93:{2,3,5}:{(66,1),(102,1),(125,1),(166,1)}
        94:{1,3,4}:{(66,1),(68,1),(125,1)}
        95:{1,3,5,7}:{(66,1),(67,1),(69,1),(104,1),(126,1),(127,1),(128,1),(190,1),(271,1),(303,1),(306,1)}
        96:{1,2,4,6}:{(67,1),(70,1),(128,1),(129,1),(178,1),(188,1),(191,1),(224,1),(270,1),(302,1),(313,1)}
        97:{2,3,4,7}:{(68,1),(69,1),(127,1),(130,1),(175,1),(307,1)}
        98:{2,3,6}:{(69,1),(70,1),(128,1)}
        99:{2,5,6}:{(70,1),(71,1),(109,1)}
       100:{1,4,5,6}:{(71,1),(72,1),(110,1),(132,1),(191,1)}
       101:{3,4,5,6}:{(72,1),(111,1),(239,1),(242,1)}
       102:{2,3,6}:{(73,1),(93,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(80,1),(94,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(82,1),(96,1),(138,1),(139,1),(146,1),(198,1),(202,1),(261,1),(262,1),(291,1)}
       106:{2,3,5}:{(75,1),(83,1),(136,1),(263,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(84,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(98,1),(138,1),(142,1),(152,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(99,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(100,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(101,1),(214,1),(251,1)}
       112:{1,4,5}:{(80,1),(83,1),(136,1)}
       113:{1,4,7}:{(80,1),(81,1),(84,1)}
       114:{1,3,6,7}:{(81,1),(82,1),(85,1),(146,1),(200,1)}
       115:{1,2,5,6,7}:{(82,1),(86,1),(139,1),(147,1),(148,1),(156,1),(249,1),(260,1),(293,1)}
       116:{2,4,5,7}:{(83,1),(84,1),(89,1),(140,1),(145,1),(149,1),(150,1),(197,1)}
       117:{2,4,6,7}:{(84,1),(85,1),(90,1),(146,1),(149,1),(150,1)}
       118:{2,3,5,6,7}:{(85,1),(86,1),(91,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(204,1),(212,1),(214,1),(249,1),(260,1),(286,1)}
       119:{2,4,6,7}:{(86,1),(87,1),(143,1),(152,1)}
       120:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(144,1),(152,1),(153,1),(215,1)}
       121:{1,3,4,6}:{(89,1),(149,1),(154,1),(200,1),(252,1),(256,1),(286,1)}
       122:{1,3,5,7}:{(90,1),(150,1),(154,1),(155,1),(214,1)}
       123:{1,4,6,7}:{(91,1),(151,1),(155,1),(202,1),(252,1)}
       124:{2,5,6,7}:{(92,1),(153,1),(156,1),(260,1)}
       125:{2,4}:{(93,1),(94,1)}
       126:{2,3,5,7}:{(93,1),(95,1),(135,1),(157,1),(158,1),(197,1),(216,1),(309,1),(310,1),(311,1)}
       127:{1,3,4,7}:{(94,1),(95,1),(97,1),(157,1),(159,1),(202,1),(251,1),(312,1)}
       128:{1,3,6}:{(95,1),(96,1),(98,1),(158,1),(286,1)}
       129:{1,2,5,6}:{(96,1),(99,1),(139,1),(160,1),(209,1),(216,1),(249,1),(293,1)}
       130:{2,3,4,6}:{(97,1),(98,1),(159,1),(162,1),(163,1)}
       131:{2,3,5,6}:{(98,1),(99,1),(142,1),(160,1),(162,1),(163,1),(164,1)}
       132:{2,4,5,6}:{(99,1),(100,1),(143,1),(163,1),(164,1)}
       133:{1,3,4,5,6}:{(100,1),(101,1),(144,1),(164,1),(165,1),(219,1),(223,1),(259,1)}
       134:{2,4,6}:{(102,1),(103,1),(125,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(112,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(113,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(128,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(129,1),(171,1),(179,1),(225,1),(279,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(116,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(130,1),(170,1),(173,1),(174,1),(175,1),(184,1),(231,1),(237,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(131,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(132,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(133,1),(176,1),(177,1),(229,1),(234,1),(236,1)}
       145:{1,4,5,7}:{(112,1),(113,1),(116,1),(169,1),(178,1),(179,1)}
       146:{1,4,6,7}:{(113,1),(114,1),(117,1),(178,1),(179,1)}
       147:{1,3,5,6,7}:{(114,1),(115,1),(118,1),(171,1),(179,1),(180,1),(181,1),(227,1),(236,1)}
       148:{1,2,4,6,7}:{(115,1),(119,1),(172,1),(180,1),(181,1),(186,1),(237,1),(240,1),(270,1),(302,1),(313,1)}
       149:{2,4,6}:{(116,1),(121,1),(173,1),(178,1),(182,1),(224,1)}
       150:{2,5,7}:{(117,1),(122,1),(179,1),(182,1)}
       151:{2,4,6,7}:{(118,1),(123,1),(175,1),(180,1),(183,1),(184,1),(226,1),(231,1),(270,1)}
       152:{3,6,7}:{(119,1),(176,1)}
       153:{2,4,6,7}:{(120,1),(124,1),(177,1),(185,1),(186,1),(240,1)}
       154:{1,3,5,6}:{(121,1),(122,1),(182,1),(187,1),(239,1)}
       155:{1,4,5,7}:{(122,1),(123,1),(183,1),(187,1),(279,1)}
       156:{1,5,6,7}:{(124,1),(186,1),(279,1)}
       157:{2,4,7}:{(125,1),(126,1),(127,1),(188,1),(314,1)}
       158:{2,3,6}:{(126,1),(128,1),(188,1),(224,1),(313,1)}
       159:{1,3,4,6}:{(127,1),(128,1),(130,1),(188,1),(190,1),(191,1),(242,1)}
       160:{1,3,5,6}:{(128,1),(129,1),(131,1),(171,1),(189,1),(190,1),(191,1)}
       161:{1,2,4,5,6}:{(129,1),(132,1),(172,1),(191,1),(192,1),(196,1),(235,1),(241,1),(244,1),(248,1),(270,1),(278,1),(282,1),(283,1),(302,1),(304,1),(313,1)}
       162:{2,3,5}:{(130,1),(190,1),(193,1)}
       163:{2,4,6}:{(131,1),(175,1),(191,1),(193,1),(194,1)}
       164:{3,5,6}:{(132,1),(176,1),(194,1)}
       165:{2,4,5,6}:{(133,1),(177,1),(195,1),(196,1),(244,1),(248,1),(278,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(158,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(145,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(146,1),(159,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(261,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(160,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(148,1),(161,1),(202,1),(203,1),(208,1),(210,1),(250,1),(254,1),(258,1),(260,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(149,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(162,1),(201,1),(204,1),(205,1),(214,1),(260,1)}
       175:{2,4,7}:{(142,1),(163,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(164,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(165,1),(207,1),(208,1),(254,1),(258,1),(260,1)}
       178:{1,4,6}:{(145,1),(149,1),(200,1),(209,1)}
       179:{1,5,7}:{(146,1),(150,1),(209,1)}
       180:{1,4,6,7}:{(147,1),(151,1),(202,1),(210,1),(252,1)}
       181:{1,3,6,7}:{(148,1),(152,1),(203,1),(212,1),(286,1),(308,1)}
       182:{2,5,6}:{(149,1),(150,1),(154,1),(209,1)}
       183:{2,4,5,7}:{(150,1),(151,1),(155,1),(210,1),(213,1),(214,1),(260,1)}
       184:{3,4,6,7}:{(151,1),(152,1),(206,1),(214,1),(251,1),(256,1),(286,1)}
       185:{2,3,6,7}:{(152,1),(153,1),(207,1),(215,1)}
       186:{1,4,6,7}:{(153,1),(156,1),(208,1),(215,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(213,1),(252,1),(293,1)}
       188:{2,4,6}:{(157,1),(158,1),(159,1),(216,1)}
       189:{2,3,5,6}:{(158,1),(160,1),(199,1),(216,1),(217,1),(249,1),(263,1),(286,1)}
       190:{1,3,5}:{(159,1),(162,1),(216,1),(218,1),(263,1)}
       191:{1,4,6}:{(160,1),(163,1),(202,1),(217,1),(218,1)}
       192:{1,3,5,6}:{(161,1),(164,1),(203,1),(219,1),(220,1),(263,1),(286,1),(294,1),(297,1),(308,1)}
       193:{2,4,5}:{(162,1),(163,1),(218,1),(221,1)}
       194:{3,4,6}:{(163,1),(164,1),(206,1),(221,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(207,1),(222,1),(223,1)}
       196:{1,4,5,6}:{(165,1),(208,1),(223,1),(266,1),(293,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(188,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(189,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(178,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(179,1),(190,1),(225,1),(227,1),(228,1),(271,1),(279,1)}
       202:{1,4,7}:{(171,1),(175,1),(191,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(181,1),(192,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(182,1),(227,1),(231,1),(239,1),(278,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(193,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(194,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(195,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(196,1),(234,1),(275,1),(279,1)}
       209:{1,5,6}:{(178,1),(179,1),(182,1)}
       210:{1,4,5,7}:{(179,1),(180,1),(183,1),(235,1),(236,1)}
       211:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(229,1),(236,1),(237,1),(273,1)}
       212:{2,3,6,7}:{(181,1),(230,1),(237,1),(238,1),(240,1),(299,1),(313,1)}
       213:{2,4,5,6}:{(182,1),(183,1),(187,1),(231,1),(235,1),(239,1),(270,1),(278,1)}
       214:{3,5,7}:{(183,1),(184,1),(239,1)}
       215:{1,3,6,7}:{(185,1),(186,1),(234,1),(240,1)}
       216:{2,5}:{(188,1),(190,1)}
       217:{2,4,6}:{(189,1),(191,1),(226,1),(241,1),(242,1)}
       218:{1,4,5}:{(190,1),(191,1),(193,1),(241,1)}
       219:{1,3,4,6}:{(191,1),(192,1),(194,1),(229,1),(242,1),(243,1),(244,1)}
       220:{2,3,5,6}:{(192,1),(230,1),(244,1),(245,1),(248,1),(278,1),(280,1),(285,1),(299,1),(304,1),(305,1),(313,1)}
       221:{3,4,5}:{(193,1),(194,1)}
       222:{2,3,4,6}:{(194,1),(195,1),(233,1),(244,1),(246,1),(247,1),(305,1)}
       223:{1,3,5,6}:{(195,1),(196,1),(234,1),(247,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(216,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(217,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(209,1),(249,1),(252,1),(286,1),(293,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(218,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(219,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(212,1),(220,1),(254,1),(255,1),(258,1),(260,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(221,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(222,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(215,1),(223,1),(257,1),(258,1)}
       235:{1,4,5,6}:{(209,1),(210,1),(213,1),(252,1),(259,1)}
       236:{1,3,5,7}:{(210,1),(211,1),(214,1),(259,1),(260,1)}
       237:{2,4,6,7}:{(211,1),(212,1),(254,1),(260,1),(261,1),(289,1)}
       238:{1,3,6,7}:{(212,1),(255,1),(261,1),(262,1),(308,1)}
       239:{3,5,6}:{(213,1),(214,1),(256,1),(286,1)}
       240:{2,6,7}:{(215,1),(258,1)}
       241:{2,4,5}:{(216,1),(217,1),(218,1),(263,1)}
       242:{3,4,6}:{(217,1),(251,1),(263,1),(286,1)}
       243:{1,3,4,5}:{(218,1),(219,1),(221,1),(263,1),(265,1),(294,1)}
       244:{2,4,6}:{(219,1),(220,1),(254,1),(265,1),(266,1)}
       245:{1,3,5,6}:{(220,1),(255,1),(266,1),(267,1),(293,1),(294,1),(297,1),(308,1)}
       246:{2,3,4,5}:{(221,1),(222,1),(265,1),(268,1),(311,1)}
       247:{1,3,4,6}:{(222,1),(223,1),(257,1),(266,1),(268,1),(269,1),(297,1)}
       248:{2,5,6}:{(223,1),(258,1),(269,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(241,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(242,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(236,1),(243,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(244,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(238,1),(245,1),(275,1),(276,1),(279,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(239,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(247,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(240,1),(248,1),(277,1)}
       259:{1,3,5,6}:{(235,1),(236,1),(239,1),(273,1),(278,1)}
       260:{2,5,7}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,4,6,7}:{(237,1),(238,1),(275,1),(279,1),(302,1)}
       262:{1,2,6,7}:{(238,1),(240,1),(276,1),(313,1)}
       263:{3,5}:{(241,1),(242,1)}
       264:{2,3,4,6}:{(242,1),(244,1),(272,1),(280,1),(281,1),(285,1),(299,1),(307,1)}
       265:{2,4,5}:{(243,1),(244,1),(280,1),(282,1),(304,1)}
       266:{1,4,6}:{(244,1),(245,1),(275,1),(282,1)}
       267:{1,2,5,6}:{(245,1),(248,1),(276,1),(283,1),(304,1),(313,1)}
       268:{1,3,4,5}:{(246,1),(247,1),(282,1),(284,1),(306,1)}
       269:{2,4,6}:{(247,1),(248,1),(277,1),(284,1),(285,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(263,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(264,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(259,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(260,1),(265,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(266,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(262,1),(267,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(269,1),(292,1)}
       278:{2,5,6}:{(259,1),(260,1),(289,1),(293,1)}
       279:{1,5,7}:{(260,1),(261,1),(293,1)}
       280:{2,3,5}:{(263,1),(264,1),(265,1),(294,1)}
       281:{1,3,4,6}:{(264,1),(266,1),(288,1),(294,1),(295,1),(297,1),(308,1),(312,1)}
       282:{1,4,5}:{(265,1),(266,1),(294,1)}
       283:{1,2,4,6}:{(266,1),(267,1),(269,1),(291,1),(295,1),(296,1),(297,1)}
       284:{2,4,5}:{(268,1),(269,1),(298,1)}
       285:{2,3,6}:{(269,1),(292,1),(297,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(280,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(281,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(278,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(279,1),(282,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(283,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(285,1),(303,1)}
       293:{1,5,6}:{(278,1),(279,1),(302,1)}
       294:{1,3,5}:{(280,1),(281,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       296:{1,2,4,5}:{(282,1),(283,1),(284,1),(304,1),(306,1),(314,1)}
       297:{1,3,6}:{(283,1),(285,1),(303,1),(305,1),(306,1)}
       298:{2,3,5}:{(284,1),(285,1),(306,1),(307,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(295,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(293,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(297,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{2,3,6}:{(295,1),(297,1),(310,1),(311,1)}
       306:{1,3,5}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,4}:{(298,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1549 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(81,1),(326,1),(345,1),(359,1),(363,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(35,1),(43,1),(225,1),(241,1),(260,1),(363,1),(367,1),(448,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(113,1),(308,1),(311,1),(410,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(54,1),(275,1),(293,1),(394,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(52,1),(313,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(40,1),(43,1),(239,1),(255,1),(258,1),(345,1),(368,1),(435,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(151,1),(448,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(448,1),(452,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(79,1),(435,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(43,1),(241,1),(265,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(52,1),(63,1),(105,1),(130,1),(182,1),(191,1),(316,1),(319,1),(413,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(60,1),(67,1),(109,1),(113,1),(190,1),(206,1),(208,1),(297,1),(321,1),(398,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(291,1),(414,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(130,1),(311,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(293,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(52,1),(67,1),(196,1),(219,1)}
        18:{1,2,5,6,7}:{(13,1),(31,1),(33,1),(151,1),(231,1),(330,1),(339,1),(344,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(77,1),(79,1),(142,1),(151,1),(229,1),(240,1),(344,1),(348,1),(435,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(32,1),(34,1),(35,1),(43,1),(241,1),(369,1)}
        21:{1,3,4,6,7}:{(11,1),(36,1),(37,1),(46,1),(87,1),(97,1),(152,1),(159,1),(161,1),(248,1),(271,1),(352,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(37,1),(38,1),(39,1),(147,1),(151,1),(238,1),(371,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(38,1),(40,1),(43,1),(258,1),(262,1)}
        24:{1,4,5,7}:{(12,1),(39,1),(40,1),(435,1),(452,1)}
        25:{1,3,4,5}:{(15,1),(32,1),(42,1),(452,1),(453,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(17,1),(42,1),(45,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(44,1),(46,1),(79,1),(245,1)}
        30:{1,3,4,6}:{(17,1),(45,1),(46,1),(47,1),(80,1),(97,1),(154,1),(175,1)}
        31:{1,3,5,6,7}:{(18,1),(23,1),(49,1),(50,1),(53,1),(112,1),(288,1),(291,1),(394,1)}
        32:{1,3,4,6}:{(20,1),(25,1),(51,1),(52,1),(413,1),(415,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(50,1),(53,1),(113,1),(184,1),(279,1),(379,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(53,1),(54,1),(293,1),(397,1)}
        35:{2,3,5,6}:{(20,1),(28,1),(52,1),(54,1),(55,1),(67,1),(130,1),(182,1),(196,1)}
        36:{1,2,4,6,7}:{(21,1),(56,1),(57,1),(70,1),(120,1),(121,1),(134,1),(190,1),(223,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(197,1),(323,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(67,1),(126,1),(130,1),(208,1),(211,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(61,1),(398,1),(416,1)}
        40:{1,4,6}:{(23,1),(24,1),(60,1)}
        41:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(51,1),(61,1),(64,1),(65,1),(112,1)}
        42:{2,4,5}:{(25,1),(28,1),(52,1),(66,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(28,1),(30,1),(66,1),(69,1)}
        46:{1,3,4,7}:{(29,1),(30,1),(68,1),(70,1),(114,1),(199,1)}
        47:{1,2,4,6}:{(30,1),(69,1),(70,1),(71,1),(134,1),(136,1)}
        48:{1,3,4,5,6}:{(32,1),(72,1),(73,1),(93,1),(139,1),(167,1),(234,1),(266,1),(369,1),(427,1)}
        49:{2,3,5,6,7}:{(31,1),(38,1),(74,1),(75,1),(81,1),(147,1),(151,1),(236,1),(238,1),(330,1),(349,1),(422,1)}
        50:{1,4,6,7}:{(31,1),(40,1),(75,1),(77,1),(435,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(79,1),(435,1),(438,1)}
        52:{2,4,6}:{(32,1),(35,1),(42,1),(79,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1),(43,1),(81,1),(422,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(151,1),(229,1),(245,1)}
        55:{1,3,5,6}:{(35,1),(45,1),(80,1),(82,1),(83,1),(97,1),(154,1),(172,1)}
        56:{1,2,3,6,7}:{(36,1),(84,1),(100,1),(161,1),(176,1),(236,1),(248,1),(485,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(85,1),(238,1),(272,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(85,1),(87,1),(97,1),(161,1),(172,1)}
        59:{1,4,5,7}:{(37,1),(39,1),(87,1),(352,1),(372,1)}
        60:{2,4,6}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{3,4,5,7}:{(39,1),(90,1),(147,1),(438,1),(453,1)}
        62:{2,3,4,5}:{(42,1),(76,1),(92,1),(171,1),(333,1),(453,1)}
        63:{1,4,5,6}:{(40,1),(77,1),(89,1),(93,1),(262,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(90,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(44,1),(79,1),(94,1),(95,1),(151,1)}
        66:{1,4,5}:{(42,1),(45,1),(80,1)}
        67:{2,3,6}:{(43,1),(44,1),(94,1),(97,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(46,1),(95,1),(97,1),(98,1)}
        69:{1,2,5}:{(45,1),(47,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(98,1),(100,1)}
        71:{1,2,3,6}:{(47,1),(99,1),(100,1),(154,1)}
        72:{1,3,4,5,7}:{(48,1),(51,1),(103,1),(104,1),(112,1),(181,1),(192,1),(284,1),(295,1),(384,1),(397,1)}
        73:{2,4,5,6}:{(48,1),(52,1),(101,1),(104,1),(105,1),(130,1),(182,1),(281,1),(461,1)}
        74:{1,3,5,6,7}:{(49,1),(58,1),(106,1),(107,1),(116,1),(188,1),(189,1),(197,1),(300,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(60,1),(107,1),(108,1),(109,1),(398,1)}
        76:{2,3,4,6}:{(52,1),(62,1),(101,1),(110,1),(111,1),(196,1),(281,1),(415,1)}
        77:{1,4,5,7}:{(50,1),(63,1),(108,1),(112,1),(291,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(64,1),(109,1),(112,1),(113,1)}
        79:{2,4,7}:{(51,1),(52,1),(54,1),(114,1)}
        80:{1,4,6}:{(52,1),(55,1),(66,1),(114,1)}
        81:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(116,1),(279,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(114,1),(116,1),(117,1),(197,1),(199,1)}
        83:{1,2,5,6}:{(55,1),(69,1),(115,1),(117,1),(134,1),(182,1)}
        84:{1,2,3,5,7}:{(56,1),(57,1),(119,1),(120,1),(122,1),(287,1),(300,1),(468,1),(515,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(121,1),(134,1),(211,1)}
        86:{1,2,4,5,7}:{(57,1),(59,1),(120,1),(121,1),(122,1),(125,1),(204,1)}
        87:{1,4,6}:{(58,1),(59,1),(60,1)}
        88:{1,3,4,5,7}:{(59,1),(61,1),(122,1),(124,1),(125,1),(189,1),(286,1),(305,1)}
        89:{2,4,5,6}:{(60,1),(63,1),(108,1),(123,1),(126,1),(130,1),(211,1)}
        90:{3,4,6}:{(60,1),(61,1),(126,1)}
        91:{2,3,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(125,1),(127,1),(128,1),(193,1),(218,1),(382,1),(386,1),(398,1),(403,1),(416,1),(473,1),(520,1)}
        92:{1,3,4,5}:{(62,1),(66,1),(111,1),(129,1),(133,1),(214,1),(378,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(112,1),(126,1),(130,1)}
        94:{2,4,6}:{(64,1),(65,1),(67,1),(130,1),(131,1)}
        95:{1,4,5,7}:{(65,1),(66,1),(68,1),(114,1),(131,1),(197,1)}
        96:{1,2,4,5}:{(66,1),(69,1),(115,1),(129,1),(133,1),(136,1)}
        97:{1,3,6}:{(67,1),(68,1),(131,1),(134,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(134,1)}
        99:{1,2,3,5}:{(69,1),(71,1),(133,1),(136,1)}
       100:{1,2,3,7}:{(70,1),(71,1),(199,1)}
       101:{2,3,5,6}:{(73,1),(76,1),(138,1),(139,1),(369,1)}
       102:{1,4,5,6,7}:{(77,1),(137,1),(140,1),(325,1),(329,1),(426,1)}
       103:{1,3,4,6,7}:{(72,1),(140,1),(141,1),(226,1),(228,1),(329,1),(422,1)}
       104:{2,4,5,7}:{(72,1),(73,1),(79,1),(138,1),(141,1),(142,1),(151,1),(229,1),(332,1),(424,1)}
       105:{1,4,5,6}:{(73,1),(80,1),(139,1),(142,1),(172,1),(328,1),(489,1)}
       106:{1,2,5,6,7}:{(74,1),(85,1),(144,1),(155,1),(238,1),(247,1),(325,1),(330,1)}
       107:{1,4,6,7}:{(74,1),(75,1),(87,1),(145,1),(352,1)}
       108:{2,4,5,7}:{(75,1),(77,1),(89,1),(145,1),(147,1),(151,1),(238,1)}
       109:{3,4,6,7}:{(75,1),(90,1),(147,1),(422,1),(438,1)}
       110:{2,3,4,7}:{(76,1),(79,1),(138,1),(149,1),(245,1),(332,1),(438,1)}
       111:{1,3,4,6}:{(76,1),(80,1),(92,1),(139,1),(149,1),(150,1),(154,1),(241,1),(328,1)}
       112:{1,3,5,7}:{(77,1),(78,1),(93,1),(147,1),(151,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(81,1),(94,1),(151,1),(152,1)}
       114:{1,4,7}:{(79,1),(80,1),(82,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(96,1),(150,1),(153,1),(154,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(97,1),(152,1),(155,1)}
       117:{1,2,5,7}:{(82,1),(83,1),(153,1),(155,1),(229,1)}
       118:{1,2,3,5,6}:{(83,1),(99,1),(154,1),(156,1),(157,1),(176,1),(230,1),(250,1),(270,1),(272,1),(354,1),(355,1)}
       119:{1,2,3,5,6}:{(84,1),(85,1),(158,1),(161,1),(176,1),(253,1),(257,1),(270,1),(272,1),(449,1),(505,1),(537,1)}
       120:{1,2,4,7}:{(84,1),(158,1),(159,1),(337,1),(352,1)}
       121:{1,2,4,6}:{(85,1),(86,1),(87,1),(161,1),(164,1)}
       122:{1,3,5,7}:{(86,1),(159,1),(161,1),(162,1),(253,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(145,1),(163,1),(172,1)}
       124:{1,3,4,6}:{(87,1),(88,1),(90,1),(161,1),(163,1),(164,1)}
       125:{2,4,5,7}:{(88,1),(162,1),(164,1),(165,1),(238,1),(337,1),(356,1)}
       126:{3,5,6}:{(89,1),(90,1),(147,1)}
       127:{2,3,4,6}:{(90,1),(91,1),(94,1),(164,1),(168,1),(169,1),(268,1),(370,1),(425,1),(501,1),(536,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(95,1),(149,1),(165,1),(169,1),(170,1),(174,1),(243,1),(264,1),(352,1),(372,1),(421,1),(428,1),(435,1),(438,1),(442,1),(452,1),(453,1),(535,1)}
       129:{2,4,5}:{(92,1),(150,1),(171,1)}
       130:{2,5,6}:{(93,1),(94,1),(151,1),(172,1)}
       131:{1,4,6}:{(94,1),(95,1),(97,1),(172,1)}
       132:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(153,1),(170,1),(173,1),(174,1),(177,1),(247,1),(272,1),(352,1),(372,1),(492,1),(502,1),(535,1),(550,1)}
       133:{1,3,5}:{(96,1),(154,1),(171,1),(175,1)}
       134:{1,2,6}:{(97,1),(98,1)}
       135:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(174,1),(176,1),(177,1),(272,1),(531,1),(537,1),(550,1)}
       136:{1,2,4}:{(99,1),(175,1)}
       137:{2,4,5,6,7}:{(102,1),(108,1),(178,1),(179,1),(183,1),(274,1),(277,1),(379,1),(460,1)}
       138:{2,3,5,7}:{(101,1),(104,1),(110,1),(180,1),(181,1),(397,1)}
       139:{1,3,5,6}:{(101,1),(105,1),(111,1),(181,1),(182,1)}
       140:{1,3,5,6,7}:{(102,1),(103,1),(112,1),(179,1),(183,1),(384,1)}
       141:{2,4,6,7}:{(103,1),(104,1),(180,1),(183,1),(184,1),(279,1)}
       142:{1,4,5,7}:{(104,1),(105,1),(114,1),(181,1),(184,1),(197,1),(377,1),(457,1)}
       143:{1,2,4,5,6}:{(105,1),(115,1),(182,1),(185,1),(186,1),(203,1),(220,1),(281,1),(304,1),(319,1),(322,1),(461,1),(462,1)}
       144:{1,2,4,6,7}:{(106,1),(107,1),(121,1),(187,1),(188,1),(190,1),(374,1),(379,1),(454,1)}
       145:{1,4,5,7}:{(107,1),(108,1),(123,1),(189,1),(197,1)}
       146:{1,3,4,6,7}:{(107,1),(109,1),(124,1),(188,1),(189,1),(190,1),(286,1)}
       147:{3,5,7}:{(108,1),(109,1),(126,1)}
       148:{2,3,4,6,7}:{(109,1),(110,1),(113,1),(127,1),(180,1),(190,1),(193,1),(194,1),(277,1),(297,1),(373,1),(381,1),(386,1),(398,1),(459,1),(511,1)}
       149:{1,3,4,7}:{(110,1),(111,1),(114,1),(181,1),(195,1),(199,1),(293,1),(377,1)}
       150:{2,4,6}:{(111,1),(129,1),(182,1),(195,1),(196,1)}
       151:{2,5,7}:{(112,1),(113,1),(130,1),(197,1)}
       152:{1,4,6,7}:{(113,1),(114,1),(116,1),(131,1),(197,1)}
       153:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{1,3,6}:{(115,1),(133,1),(196,1),(199,1)}
       155:{1,2,6,7}:{(116,1),(117,1),(134,1),(279,1)}
       156:{1,2,3,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(280,1),(300,1),(302,1),(303,1)}
       157:{1,2,4,6}:{(118,1),(136,1),(200,1),(202,1),(203,1),(281,1),(322,1)}
       158:{1,2,4,6}:{(119,1),(120,1),(204,1),(205,1),(309,1),(322,1),(547,1)}
       159:{1,3,4,7}:{(120,1),(122,1),(205,1),(206,1),(515,1)}
       160:{1,2,4,5,6}:{(121,1),(123,1),(187,1),(204,1),(207,1),(211,1),(220,1),(309,1),(315,1),(319,1),(322,1),(411,1),(478,1)}
       161:{1,3,6}:{(121,1),(122,1),(208,1)}
       162:{2,3,5,7}:{(122,1),(125,1),(206,1),(208,1),(209,1),(306,1)}
       163:{1,3,5,6}:{(123,1),(124,1),(126,1),(189,1),(211,1)}
       164:{2,4,6}:{(124,1),(125,1),(208,1),(211,1),(212,1)}
       165:{1,4,5,7}:{(125,1),(209,1),(212,1),(291,1),(387,1),(404,1)}
       166:{1,2,4,5}:{(129,1),(191,1),(214,1),(313,1),(378,1),(391,1)}
       167:{3,4,5,6}:{(126,1),(192,1),(215,1),(415,1),(514,1)}
       168:{2,3,5,6}:{(126,1),(127,1),(130,1),(193,1),(211,1),(215,1),(216,1),(461,1),(514,1),(542,1)}
       169:{1,3,4,6}:{(127,1),(128,1),(131,1),(212,1),(216,1),(217,1),(221,1),(317,1),(322,1),(413,1),(415,1),(458,1),(546,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(195,1),(217,1),(218,1),(296,1),(398,1),(416,1),(463,1),(475,1)}
       171:{2,3,5}:{(129,1),(133,1),(196,1),(214,1),(219,1)}
       172:{1,5,6}:{(130,1),(131,1),(197,1)}
       173:{1,2,4,6}:{(131,1),(132,1),(134,1),(217,1),(220,1),(221,1),(322,1),(546,1),(552,1)}
       174:{1,3,5,7}:{(132,1),(133,1),(199,1),(218,1),(221,1),(222,1),(323,1),(515,1),(522,1)}
       175:{1,3,4}:{(133,1),(136,1),(219,1)}
       176:{1,2,3,6}:{(134,1),(135,1),(221,1),(223,1),(552,1)}
       177:{1,2,4,7}:{(135,1),(136,1),(222,1),(223,1),(547,1)}
       178:{1,4,5,6,7}:{(137,1),(145,1),(224,1),(231,1),(329,1),(488,1)}
       179:{3,5,6,7}:{(137,1),(147,1),(226,1),(422,1),(490,1)}
       180:{2,3,6,7}:{(138,1),(141,1),(228,1),(422,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(228,1),(229,1)}
       182:{2,5,6}:{(139,1),(150,1),(229,1)}
       183:{2,5,6,7}:{(140,1),(141,1),(151,1),(231,1),(424,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(228,1),(231,1)}
       185:{1,2,4,5,7}:{(142,1),(143,1),(153,1),(229,1),(232,1),(233,1),(247,1),(332,1),(348,1),(352,1),(424,1),(426,1)}
       186:{1,3,5,6}:{(143,1),(154,1),(230,1),(233,1),(234,1),(250,1),(354,1),(369,1)}
       187:{1,2,4,5,7}:{(144,1),(145,1),(160,1),(235,1),(238,1),(247,1),(337,1),(343,1),(348,1),(352,1),(433,1),(492,1)}
       188:{1,3,6,7}:{(144,1),(161,1),(235,1),(236,1),(422,1)}
       189:{1,3,5,7}:{(145,1),(146,1),(147,1),(163,1),(238,1)}
       190:{2,4,6,7}:{(146,1),(164,1),(236,1),(238,1),(239,1),(337,1)}
       191:{1,2,4,6}:{(150,1),(166,1),(225,1),(240,1),(241,1),(328,1)}
       192:{3,4,5,7}:{(147,1),(167,1),(226,1),(242,1),(438,1),(490,1)}
       193:{2,3,5,7}:{(147,1),(148,1),(151,1),(168,1),(238,1),(242,1),(243,1),(424,1),(490,1),(529,1)}
       194:{1,3,4,6,7}:{(148,1),(149,1),(152,1),(169,1),(228,1),(239,1),(243,1),(244,1),(248,1),(329,1),(345,1),(352,1),(417,1),(420,1),(422,1),(428,1),(435,1),(438,1),(528,1)}
       195:{2,4,7}:{(149,1),(150,1),(229,1),(245,1)}
       196:{2,3,6}:{(150,1),(154,1),(171,1),(241,1),(245,1)}
       197:{1,5,7}:{(151,1),(152,1),(172,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(173,1),(244,1),(247,1),(248,1),(352,1),(485,1),(492,1),(528,1)}
       199:{1,3,7}:{(153,1),(154,1),(245,1)}
       200:{1,3,4,6}:{(154,1),(157,1),(175,1),(246,1),(249,1),(250,1),(354,1)}
       201:{1,2,3,6,7}:{(155,1),(156,1),(176,1),(248,1),(251,1),(331,1),(354,1),(531,1)}
       202:{1,2,4,7}:{(156,1),(157,1),(249,1),(332,1),(352,1)}
       203:{1,2,4,5}:{(157,1),(250,1),(272,1),(333,1),(372,1)}
       204:{1,2,4,5}:{(158,1),(253,1),(272,1),(356,1),(372,1)}
       205:{1,3,4,6}:{(158,1),(159,1),(161,1),(253,1),(254,1),(505,1),(538,1)}
       206:{2,3,4,7}:{(159,1),(162,1),(254,1),(255,1),(337,1),(493,1)}
       207:{1,3,5,6}:{(160,1),(161,1),(235,1),(253,1),(256,1),(257,1),(369,1),(505,1)}
       208:{2,3,6}:{(161,1),(162,1),(164,1),(258,1)}
       209:{1,3,5,7}:{(162,1),(165,1),(255,1),(258,1),(259,1),(357,1)}
       210:{1,3,4,5,6}:{(163,1),(167,1),(237,1),(256,1),(261,1),(266,1),(365,1),(369,1),(451,1),(530,1)}
       211:{2,5,6}:{(163,1),(164,1),(238,1),(262,1)}
       212:{1,4,6}:{(164,1),(165,1),(258,1),(262,1)}
       213:{1,2,4,5,7}:{(165,1),(166,1),(170,1),(240,1),(259,1),(263,1),(264,1),(344,1),(364,1),(421,1),(429,1),(432,1),(435,1),(443,1),(448,1),(452,1)}
       214:{1,3,5}:{(166,1),(171,1),(241,1),(265,1)}
       215:{2,4,5,6}:{(167,1),(168,1),(242,1),(266,1),(370,1)}
       216:{1,3,5,6}:{(168,1),(169,1),(172,1),(243,1),(262,1),(266,1),(267,1),(369,1),(489,1),(549,1)}
       217:{2,4,6}:{(169,1),(170,1),(267,1),(268,1)}
       218:{2,3,5,7}:{(170,1),(171,1),(174,1),(245,1),(264,1),(268,1),(269,1),(371,1),(493,1),(503,1)}
       219:{2,3,4}:{(171,1),(175,1),(265,1)}
       220:{1,2,5,6}:{(172,1),(173,1),(247,1),(267,1),(270,1),(272,1),(549,1)}
       221:{1,3,6}:{(173,1),(174,1),(268,1)}
       222:{1,3,4,7}:{(174,1),(175,1),(177,1),(269,1),(271,1),(352,1),(538,1)}
       223:{1,2,4,6}:{(176,1),(177,1),(271,1),(272,1)}
       224:{1,3,5,6,7}:{(178,1),(179,1),(189,1),(273,1),(274,1),(512,1)}
       225:{1,2,5,6}:{(182,1),(191,1),(275,1),(276,1),(391,1),(467,1)}
       226:{3,4,6,7}:{(179,1),(192,1),(277,1)}
       227:{2,3,5,6,7}:{(179,1),(180,1),(183,1),(193,1),(274,1),(277,1),(278,1),(373,1)}
       228:{1,3,6,7}:{(180,1),(181,1),(184,1),(279,1)}
       229:{2,5,7}:{(181,1),(182,1),(195,1),(279,1)}
       230:{2,3,5,6}:{(182,1),(186,1),(196,1),(276,1),(280,1),(281,1),(299,1),(400,1),(461,1)}
       231:{1,5,6,7}:{(183,1),(184,1),(197,1),(457,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(279,1),(282,1),(283,1),(304,1),(379,1),(381,1),(383,1)}
       233:{1,3,5,7}:{(185,1),(186,1),(199,1),(280,1),(283,1),(284,1),(397,1)}
       234:{1,3,4,6}:{(186,1),(281,1),(284,1),(285,1),(322,1),(415,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(207,1),(286,1),(287,1),(397,1),(515,1)}
       236:{2,3,6,7}:{(188,1),(190,1),(208,1),(287,1),(288,1),(454,1)}
       237:{1,3,4,5,7}:{(189,1),(192,1),(210,1),(273,1),(286,1),(290,1),(295,1),(392,1),(397,1),(470,1),(512,1)}
       238:{2,5,7}:{(189,1),(190,1),(211,1),(291,1)}
       239:{1,4,6,7}:{(190,1),(212,1),(288,1),(291,1),(387,1)}
       240:{1,2,4,7}:{(191,1),(195,1),(275,1),(293,1),(377,1)}
       241:{1,3,6}:{(191,1),(196,1),(214,1),(293,1)}
       242:{2,4,5,7}:{(192,1),(193,1),(215,1),(277,1),(295,1),(398,1)}
       243:{1,3,5,7}:{(193,1),(194,1),(197,1),(216,1),(291,1),(295,1),(296,1),(397,1),(457,1),(541,1)}
       244:{2,4,6,7}:{(194,1),(195,1),(217,1),(279,1),(296,1),(297,1),(398,1),(454,1),(463,1)}
       245:{2,3,7}:{(195,1),(196,1),(199,1),(293,1)}
       246:{2,3,4,6}:{(196,1),(200,1),(219,1),(281,1),(294,1),(298,1),(299,1),(400,1)}
       247:{1,2,5,7}:{(197,1),(198,1),(220,1),(296,1),(300,1),(541,1)}
       248:{1,3,6,7}:{(198,1),(199,1),(221,1),(297,1),(300,1),(515,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(202,1),(298,1),(302,1)}
       250:{1,3,5}:{(200,1),(203,1),(299,1)}
       251:{1,2,4,6,7}:{(201,1),(202,1),(223,1),(301,1),(303,1),(304,1),(381,1),(543,1),(552,1)}
       252:{1,2,4,5,7}:{(202,1),(203,1),(302,1),(303,1),(304,1),(382,1),(401,1)}
       253:{1,3,5}:{(204,1),(205,1),(306,1)}
       254:{2,3,4,6}:{(205,1),(206,1),(208,1),(306,1),(307,1),(309,1),(479,1),(523,1)}
       255:{1,3,4,7}:{(206,1),(209,1),(307,1),(308,1),(387,1),(464,1)}
       256:{1,3,4,6}:{(207,1),(286,1),(305,1),(309,1),(322,1),(415,1)}
       257:{2,3,5,6}:{(207,1),(208,1),(211,1),(287,1),(306,1),(309,1),(310,1),(411,1),(479,1)}
       258:{1,3,6}:{(208,1),(209,1),(212,1),(311,1)}
       259:{1,2,5,7}:{(209,1),(308,1),(311,1),(405,1)}
       260:{1,2,3,5}:{(214,1),(289,1),(313,1),(391,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(290,1),(309,1),(314,1),(315,1),(411,1),(483,1),(542,1)}
       262:{1,5,6}:{(211,1),(212,1),(291,1)}
       263:{1,2,4,6}:{(212,1),(213,1),(217,1),(311,1),(316,1),(317,1),(413,1),(458,1),(467,1)}
       264:{1,3,5,7}:{(213,1),(214,1),(218,1),(293,1),(317,1),(318,1),(414,1),(464,1),(476,1)}
       265:{1,3,4}:{(214,1),(219,1),(313,1)}
       266:{1,4,5,6}:{(215,1),(216,1),(295,1),(319,1),(322,1),(413,1)}
       267:{2,5,6}:{(216,1),(217,1),(296,1)}
       268:{2,3,6}:{(217,1),(218,1),(221,1),(317,1)}
       269:{2,3,4,7}:{(218,1),(219,1),(222,1),(318,1),(321,1),(398,1),(523,1)}
       270:{1,3,5,6}:{(220,1),(221,1),(300,1),(320,1),(322,1),(323,1)}
       271:{1,3,4,6}:{(221,1),(222,1),(223,1),(321,1),(322,1),(323,1)}
       272:{1,2,5}:{(223,1),(323,1)}
       273:{1,3,4,6,7}:{(224,1),(226,1),(237,1),(324,1),(329,1),(417,1),(422,1)}
       274:{2,5,6,7}:{(224,1),(238,1),(324,1),(325,1),(529,1)}
       275:{1,2,5,7}:{(225,1),(229,1),(240,1),(326,1),(327,1)}
       276:{1,3,5,6}:{(225,1),(230,1),(241,1),(327,1),(328,1),(347,1),(437,1),(489,1)}
       277:{2,4,6,7}:{(226,1),(227,1),(242,1),(329,1)}
       278:{1,3,5,6,7}:{(227,1),(228,1),(231,1),(243,1),(325,1),(329,1),(330,1),(417,1),(422,1)}
       279:{2,6,7}:{(228,1),(229,1)}
       280:{2,3,5,7}:{(229,1),(230,1),(233,1),(245,1),(327,1),(331,1),(332,1),(424,1)}
       281:{2,4,6}:{(230,1),(234,1),(328,1),(332,1),(333,1)}
       282:{1,2,5,6,7}:{(231,1),(232,1),(247,1),(330,1),(334,1),(355,1),(424,1),(485,1)}
       283:{1,3,6,7}:{(232,1),(233,1),(331,1),(354,1),(422,1)}
       284:{1,3,4,7}:{(233,1),(234,1),(332,1),(352,1),(438,1)}
       285:{1,3,4,5}:{(234,1),(250,1),(333,1),(372,1),(453,1)}
       286:{1,3,4,7}:{(235,1),(256,1),(337,1),(352,1),(438,1)}
       287:{2,3,5,7}:{(235,1),(236,1),(238,1),(257,1),(337,1),(338,1),(433,1),(493,1)}
       288:{1,3,6,7}:{(236,1),(239,1),(258,1),(338,1),(339,1)}
       289:{1,2,3,6}:{(241,1),(260,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(237,1),(238,1),(261,1),(324,1),(337,1),(342,1),(343,1),(433,1),(498,1),(529,1)}
       291:{1,5,7}:{(238,1),(239,1),(262,1)}
       292:{1,2,4,6,7}:{(239,1),(240,1),(244,1),(263,1),(326,1),(339,1),(344,1),(345,1),(420,1),(429,1),(435,1)}
       293:{1,3,7}:{(240,1),(241,1),(245,1)}
       294:{1,3,4,6}:{(241,1),(246,1),(265,1),(328,1),(341,1),(346,1),(347,1),(437,1)}
       295:{1,4,5,7}:{(242,1),(243,1),(266,1),(329,1),(348,1),(352,1),(435,1)}
       296:{2,5,7}:{(243,1),(244,1),(267,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(248,1),(268,1),(345,1),(349,1),(422,1),(493,1)}
       298:{2,3,4,7}:{(245,1),(246,1),(249,1),(332,1),(346,1),(351,1)}
       299:{2,3,5}:{(246,1),(250,1),(333,1),(347,1)}
       300:{1,3,5,7}:{(247,1),(248,1),(270,1),(349,1),(352,1)}
       301:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(271,1),(350,1),(352,1),(353,1),(354,1),(441,1),(528,1),(532,1),(551,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(252,1),(351,1),(354,1)}
       303:{1,2,5,7}:{(251,1),(272,1),(353,1),(355,1),(424,1)}
       304:{1,2,4,6}:{(252,1),(354,1),(355,1),(425,1),(441,1)}
       305:{1,3,4,5}:{(253,1),(256,1),(356,1),(372,1),(453,1)}
       306:{2,3,5}:{(253,1),(254,1),(356,1),(357,1)}
       307:{1,3,4,6}:{(254,1),(255,1),(258,1),(357,1),(358,1),(361,1),(446,1),(504,1)}
       308:{1,2,4,7}:{(255,1),(259,1),(358,1),(359,1)}
       309:{2,4,6}:{(256,1),(257,1),(337,1),(356,1),(361,1)}
       310:{1,3,5,6}:{(257,1),(258,1),(262,1),(338,1),(357,1),(361,1),(362,1),(446,1)}
       311:{1,2,6}:{(258,1),(259,1)}
       312:{1,2,3,5,7}:{(259,1),(260,1),(264,1),(340,1),(359,1),(363,1),(364,1),(432,1),(444,1),(448,1)}
       313:{1,2,4}:{(260,1),(265,1)}
       314:{2,3,5,6}:{(261,1),(342,1),(360,1),(365,1),(369,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(343,1),(361,1),(365,1),(508,1),(549,1)}
       316:{1,2,5,6}:{(262,1),(263,1),(267,1),(344,1),(367,1),(448,1),(489,1)}
       317:{1,3,6}:{(263,1),(264,1),(268,1)}
       318:{1,3,4,7}:{(264,1),(265,1),(269,1),(364,1),(368,1),(435,1),(504,1)}
       319:{2,4,5,6}:{(266,1),(267,1),(348,1),(369,1),(370,1)}
       320:{2,3,5,6}:{(267,1),(268,1),(270,1),(349,1),(367,1),(369,1),(370,1),(371,1)}
       321:{2,3,4,6}:{(268,1),(269,1),(271,1),(368,1),(370,1),(371,1)}
       322:{1,4,6}:{(270,1),(352,1),(370,1),(372,1)}
       323:{1,3,5}:{(271,1),(272,1),(371,1),(372,1)}
       324:{2,4,6,7}:{(273,1),(274,1),(290,1),(373,1),(374,1),(454,1)}
       325:{1,5,6,7}:{(274,1),(291,1),(374,1),(541,1)}
       326:{1,2,6,7}:{(275,1),(279,1),(376,1),(467,1)}
       327:{1,3,5,7}:{(275,1),(276,1),(280,1),(293,1),(376,1),(377,1),(457,1)}
       328:{1,4,6}:{(276,1),(281,1),(377,1),(378,1)}
       329:{1,4,6,7}:{(277,1),(278,1),(295,1),(379,1)}
       330:{2,5,6,7}:{(278,1),(279,1),(296,1),(379,1),(454,1)}
       331:{2,3,6,7}:{(279,1),(280,1),(283,1),(376,1),(381,1),(400,1)}
       332:{2,4,7}:{(280,1),(281,1),(284,1),(377,1)}
       333:{2,4,5}:{(281,1),(285,1),(299,1),(378,1)}
       334:{1,3,5,6,7}:{(282,1),(283,1),(300,1),(380,1),(383,1),(384,1),(402,1),(510,1),(541,1)}
       335:{1,3,4,6,7}:{(283,1),(284,1),(381,1),(383,1),(384,1),(385,1),(459,1)}
       336:{1,3,4,5,7}:{(284,1),(285,1),(302,1),(382,1),(384,1),(385,1),(401,1),(473,1)}
       337:{2,4,7}:{(286,1),(287,1),(309,1),(387,1)}
       338:{1,3,5,7}:{(287,1),(288,1),(291,1),(310,1),(387,1),(388,1),(464,1)}
       339:{1,2,6,7}:{(288,1),(311,1),(388,1),(454,1)}
       340:{1,2,3,7}:{(289,1),(293,1),(390,1)}
       341:{1,2,4,6}:{(289,1),(294,1),(313,1),(390,1),(391,1),(467,1)}
       342:{2,3,5,7}:{(290,1),(314,1),(373,1),(386,1),(392,1),(397,1)}
       343:{1,4,5,7}:{(290,1),(291,1),(315,1),(374,1),(387,1),(392,1),(519,1),(541,1)}
       344:{1,2,5,7}:{(291,1),(292,1),(296,1),(316,1),(394,1),(457,1)}
       345:{1,3,6,7}:{(292,1),(293,1),(297,1),(317,1),(394,1),(464,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(377,1),(390,1),(396,1)}
       347:{1,3,5}:{(294,1),(299,1),(378,1),(391,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(319,1),(379,1),(397,1),(398,1)}
       349:{2,3,5,7}:{(296,1),(297,1),(300,1),(320,1),(394,1),(397,1),(398,1)}
       350:{2,3,4,6,7}:{(297,1),(298,1),(301,1),(321,1),(381,1),(395,1),(398,1),(399,1),(400,1),(459,1),(474,1),(511,1),(516,1),(545,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(302,1),(382,1),(396,1),(400,1)}
       352:{1,4,7}:{(300,1),(322,1),(398,1)}
       353:{1,3,5,7}:{(301,1),(303,1),(323,1),(399,1),(401,1),(402,1),(541,1)}
       354:{1,3,6}:{(302,1),(304,1),(400,1)}
       355:{1,2,5,6}:{(303,1),(304,1),(402,1),(461,1),(552,1)}
       356:{2,4,5}:{(305,1),(306,1),(309,1),(404,1)}
       357:{1,3,5}:{(306,1),(307,1),(404,1),(405,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(311,1),(405,1),(406,1),(477,1)}
       359:{1,2,3,7}:{(308,1),(406,1),(464,1)}
       360:{2,3,4,6}:{(309,1),(314,1),(386,1),(403,1),(407,1),(415,1),(479,1),(483,1)}
       361:{1,4,6}:{(309,1),(310,1),(387,1),(404,1)}
       362:{1,2,5,6}:{(310,1),(311,1),(388,1),(405,1),(408,1),(411,1)}
       363:{1,2,3,6}:{(311,1),(312,1),(317,1),(410,1),(467,1)}
       364:{1,2,4,7}:{(312,1),(313,1),(318,1),(410,1),(477,1)}
       365:{1,3,5,6}:{(314,1),(315,1),(392,1),(407,1),(411,1)}
       366:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(393,1),(408,1),(411,1),(412,1),(413,1),(481,1),(483,1),(513,1),(518,1),(542,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(320,1),(394,1),(413,1),(414,1)}
       368:{1,3,4,6}:{(317,1),(318,1),(321,1),(410,1),(413,1),(414,1)}
       369:{3,5,6}:{(319,1),(397,1),(415,1)}
       370:{2,4,6}:{(320,1),(322,1),(398,1),(413,1),(415,1),(416,1)}
       371:{2,3,5}:{(321,1),(323,1),(414,1),(416,1)}
       372:{1,4,5}:{(322,1),(323,1),(416,1)}
       373:{2,3,6,7}:{(324,1),(342,1),(417,1),(422,1)}
       374:{1,4,6,7}:{(324,1),(325,1),(343,1),(417,1)}
       375:{1,2,5,6,7}:{(325,1),(326,1),(330,1),(344,1),(418,1),(419,1),(496,1),(529,1)}
       376:{1,3,6,7}:{(326,1),(327,1),(331,1),(420,1),(437,1)}
       377:{1,4,7}:{(327,1),(328,1),(332,1)}
       378:{1,4,5}:{(328,1),(333,1),(347,1)}
       379:{2,4,6,7}:{(329,1),(330,1),(348,1),(422,1)}
       380:{2,3,5,6,7}:{(330,1),(331,1),(334,1),(349,1),(419,1),(422,1),(423,1),(424,1),(440,1),(486,1),(490,1),(529,1)}
       381:{2,4,6,7}:{(331,1),(332,1),(335,1),(420,1),(424,1),(425,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(336,1),(351,1),(421,1),(424,1),(425,1)}
       383:{1,4,6,7}:{(334,1),(352,1),(423,1),(426,1),(441,1)}
       384:{1,3,5,7}:{(335,1),(424,1),(426,1),(427,1),(490,1)}
       385:{1,3,4,6}:{(336,1),(354,1),(425,1),(427,1),(441,1),(501,1)}
       386:{2,3,4,7}:{(337,1),(342,1),(360,1),(428,1),(438,1),(493,1),(498,1)}
       387:{1,4,7}:{(337,1),(338,1),(361,1)}
       388:{1,2,5,7}:{(338,1),(339,1),(362,1),(429,1),(433,1)}
       389:{1,2,3,6,7}:{(339,1),(340,1),(345,1),(363,1),(430,1),(431,1),(486,1),(534,1)}
       390:{1,2,4,7}:{(340,1),(341,1),(346,1),(432,1)}
       391:{1,2,5}:{(341,1),(347,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(365,1),(417,1),(428,1),(433,1)}
       393:{1,2,4,5,7}:{(343,1),(344,1),(348,1),(366,1),(418,1),(429,1),(433,1),(434,1),(435,1),(488,1),(498,1),(529,1)}
       394:{1,3,5,7}:{(344,1),(345,1),(349,1),(367,1),(435,1)}
       395:{1,3,4,6,7}:{(345,1),(346,1),(350,1),(368,1),(420,1),(431,1),(435,1),(436,1),(437,1),(494,1),(500,1),(534,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(351,1),(421,1),(432,1),(437,1)}
       397:{3,5,7}:{(348,1),(369,1),(422,1),(438,1)}
       398:{2,4,7}:{(349,1),(352,1),(370,1),(435,1),(438,1)}
       399:{2,3,5,7}:{(350,1),(353,1),(371,1),(424,1),(436,1),(439,1),(440,1),(490,1),(529,1)}
       400:{2,3,6}:{(351,1),(354,1),(425,1),(437,1)}
       401:{1,4,5,7}:{(352,1),(353,1),(372,1),(439,1),(441,1)}
       402:{1,3,5,6}:{(353,1),(354,1),(355,1),(440,1),(441,1),(549,1),(551,1)}
       403:{2,3,4,5}:{(356,1),(360,1),(442,1),(453,1),(503,1),(509,1)}
       404:{1,4,5}:{(356,1),(357,1),(361,1)}
       405:{1,2,5}:{(357,1),(358,1)}
       406:{1,2,3,6}:{(358,1),(359,1),(444,1),(446,1)}
       407:{1,3,4,6}:{(360,1),(361,1),(365,1),(428,1),(442,1),(445,1),(446,1),(505,1),(508,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(429,1),(443,1),(445,1),(446,1)}
       409:{1,2,3,5,6}:{(362,1),(363,1),(367,1),(430,1),(444,1),(446,1),(447,1),(448,1),(450,1),(496,1),(507,1),(534,1)}
       410:{1,2,4,6}:{(363,1),(364,1),(368,1),(448,1)}
       411:{2,5,6}:{(365,1),(433,1),(445,1)}
       412:{1,3,5,6}:{(366,1),(369,1),(434,1),(446,1),(450,1),(451,1),(507,1),(534,1)}
       413:{1,4,6}:{(367,1),(370,1),(435,1),(452,1)}
       414:{1,3,5}:{(368,1),(371,1),(448,1),(452,1)}
       415:{3,4,6}:{(369,1),(370,1),(438,1),(453,1)}
       416:{2,4,5}:{(370,1),(371,1),(372,1),(452,1),(453,1)}
       417:{1,3,6,7}:{(373,1),(374,1),(392,1),(454,1)}
       418:{1,2,4,6,7}:{(374,1),(375,1),(379,1),(393,1),(454,1),(455,1),(456,1),(511,1),(518,1)}
       419:{1,3,5,6,7}:{(375,1),(376,1),(380,1),(394,1),(455,1),(456,1),(457,1),(472,1),(512,1)}
       420:{1,4,6,7}:{(376,1),(377,1),(381,1),(457,1),(458,1)}
       421:{1,4,5,7}:{(377,1),(378,1),(382,1),(396,1),(457,1),(458,1)}
       422:{3,6,7}:{(379,1),(397,1)}
       423:{2,4,6,7}:{(380,1),(383,1),(398,1),(456,1),(459,1),(460,1),(474,1)}
       424:{2,5,7}:{(381,1),(384,1),(457,1),(461,1)}
       425:{2,4,6}:{(382,1),(385,1),(400,1),(458,1),(461,1)}
       426:{1,4,5,7}:{(383,1),(384,1),(460,1),(462,1),(541,1)}
       427:{1,3,5,6}:{(384,1),(385,1),(461,1),(462,1),(514,1)}
       428:{1,3,4,7}:{(386,1),(387,1),(392,1),(407,1),(463,1),(464,1),(515,1),(519,1)}
       429:{1,2,4,7}:{(387,1),(388,1),(408,1),(463,1),(464,1)}
       430:{1,2,3,5,7}:{(388,1),(389,1),(394,1),(409,1),(464,1),(465,1),(466,1),(469,1),(517,1)}
       431:{1,2,4,6,7}:{(389,1),(390,1),(395,1),(410,1),(465,1),(466,1),(467,1),(511,1),(518,1)}
       432:{1,2,5,7}:{(390,1),(391,1),(396,1),(467,1)}
       433:{2,5,7}:{(392,1),(411,1),(454,1),(463,1)}
       434:{1,3,5,7}:{(393,1),(397,1),(412,1),(455,1),(464,1),(469,1),(470,1)}
       435:{1,4,7}:{(394,1),(398,1),(413,1)}
       436:{1,3,5,7}:{(395,1),(399,1),(414,1),(457,1),(466,1),(471,1),(472,1)}
       437:{1,3,6}:{(396,1),(400,1),(458,1),(467,1)}
       438:{3,4,7}:{(397,1),(398,1),(415,1)}
       439:{2,4,5,7}:{(398,1),(399,1),(401,1),(416,1),(471,1),(473,1),(474,1)}
       440:{2,3,5,6}:{(399,1),(400,1),(402,1),(461,1),(472,1),(474,1),(514,1),(542,1),(545,1)}
       441:{1,4,6}:{(401,1),(402,1),(474,1)}
       442:{1,3,4,5}:{(403,1),(404,1),(407,1),(475,1),(476,1),(522,1),(527,1)}
       443:{1,2,4,5}:{(404,1),(405,1),(408,1),(475,1),(476,1),(477,1)}
       444:{1,2,3,5}:{(405,1),(406,1),(476,1),(477,1)}
       445:{2,4,6}:{(407,1),(411,1),(463,1),(475,1),(479,1)}
       446:{1,3,6}:{(408,1),(464,1),(476,1),(479,1)}
       447:{1,2,4,6}:{(409,1),(413,1),(465,1),(477,1),(480,1),(481,1),(483,1)}
       448:{1,2,5}:{(410,1),(414,1)}
       449:{1,2,5,6}:{(411,1),(468,1),(478,1),(482,1),(548,1),(552,1)}
       450:{2,3,5,6}:{(411,1),(412,1),(469,1),(479,1),(482,1),(483,1),(526,1),(542,1),(545,1)}
       451:{1,3,4,6}:{(412,1),(413,1),(415,1),(470,1),(483,1),(484,1)}
       452:{1,4,5}:{(413,1),(414,1),(416,1)}
       453:{3,4,5}:{(415,1),(416,1)}
       454:{2,6,7}:{(417,1),(433,1)}
       455:{1,3,6,7}:{(418,1),(422,1),(434,1),(486,1),(534,1)}
       456:{1,4,6,7}:{(419,1),(423,1),(435,1),(488,1),(500,1)}
       457:{1,5,7}:{(420,1),(424,1),(489,1)}
       458:{1,4,6}:{(421,1),(425,1),(437,1),(489,1)}
       459:{3,4,6,7}:{(422,1),(423,1),(438,1),(490,1),(501,1)}
       460:{2,4,5,7}:{(423,1),(424,1),(426,1),(488,1),(490,1),(491,1),(529,1)}
       461:{2,5,6}:{(424,1),(425,1),(427,1),(489,1)}
       462:{1,4,5,6}:{(426,1),(427,1),(441,1),(491,1),(549,1)}
       463:{2,4,7}:{(428,1),(433,1),(445,1),(493,1)}
       464:{1,3,7}:{(429,1),(446,1),(493,1)}
       465:{1,2,4,7}:{(430,1),(435,1),(447,1),(494,1),(498,1)}
       466:{1,2,5,7}:{(431,1),(436,1),(448,1),(496,1),(529,1)}
       467:{1,2,6}:{(432,1),(437,1)}
       468:{1,2,5,7}:{(433,1),(449,1),(485,1),(492,1),(497,1)}
       469:{2,3,5,7}:{(433,1),(434,1),(450,1),(486,1),(493,1),(497,1),(498,1),(529,1)}
       470:{1,3,4,7}:{(434,1),(435,1),(438,1),(451,1),(498,1)}
       471:{1,4,5,7}:{(435,1),(436,1),(439,1),(452,1),(500,1)}
       472:{1,3,5,6}:{(436,1),(437,1),(440,1),(489,1),(496,1),(500,1),(534,1)}
       473:{3,4,5,7}:{(438,1),(439,1),(453,1),(490,1),(501,1)}
       474:{2,4,6}:{(439,1),(440,1),(441,1),(500,1),(501,1)}
       475:{2,4,5}:{(442,1),(445,1),(503,1)}
       476:{1,3,5}:{(443,1),(446,1),(503,1),(504,1)}
       477:{1,2,4}:{(444,1),(504,1)}
       478:{1,2,4,6}:{(445,1),(449,1),(492,1),(502,1),(505,1),(508,1)}
       479:{2,3,6}:{(445,1),(446,1),(493,1),(503,1),(505,1)}
       480:{1,3,4,6}:{(446,1),(447,1),(494,1),(504,1),(506,1),(507,1),(534,1)}
       481:{1,2,4,5}:{(447,1),(448,1),(452,1),(507,1),(509,1)}
       482:{1,3,5,6}:{(449,1),(450,1),(497,1),(505,1),(508,1),(540,1),(549,1),(551,1)}
       483:{2,4,6}:{(450,1),(451,1),(498,1),(508,1),(509,1)}
       484:{1,3,4,5}:{(451,1),(452,1),(453,1),(507,1),(509,1)}
       485:{1,2,6,7}:{(454,1),(468,1),(510,1),(552,1)}
       486:{2,3,6,7}:{(454,1),(455,1),(469,1),(510,1),(511,1),(545,1)}
       487:{1,3,4,6,7}:{(455,1),(456,1),(459,1),(470,1),(511,1),(512,1),(521,1)}
       488:{1,4,5,7}:{(456,1),(457,1),(460,1),(512,1),(513,1)}
       489:{1,5,6}:{(457,1),(458,1),(461,1)}
       490:{3,5,7}:{(459,1),(460,1),(514,1)}
       491:{2,4,5,6}:{(460,1),(461,1),(462,1),(474,1),(513,1),(514,1),(542,1)}
       492:{1,2,4,7}:{(463,1),(468,1),(478,1),(515,1),(519,1)}
       493:{2,3,7}:{(463,1),(464,1),(479,1),(515,1)}
       494:{1,3,4,7}:{(464,1),(465,1),(480,1),(516,1),(517,1)}
       495:{1,2,4,5,7}:{(465,1),(466,1),(471,1),(481,1),(517,1),(518,1),(520,1)}
       496:{1,2,5,6}:{(466,1),(467,1),(472,1),(518,1),(542,1)}
       497:{1,3,5,7}:{(468,1),(469,1),(482,1),(510,1),(515,1),(519,1),(541,1)}
       498:{2,4,7}:{(469,1),(470,1),(483,1),(519,1)}
       499:{1,3,4,5,7}:{(470,1),(471,1),(473,1),(484,1),(512,1),(517,1),(520,1),(521,1)}
       500:{1,4,6}:{(471,1),(472,1),(474,1)}
       501:{3,4,6}:{(473,1),(474,1),(514,1)}
       502:{1,2,4,5}:{(475,1),(478,1),(522,1),(527,1),(547,1),(548,1)}
       503:{2,3,5}:{(475,1),(476,1),(479,1),(522,1),(523,1)}
       504:{1,3,4}:{(476,1),(477,1),(523,1)}
       505:{1,3,6}:{(478,1),(479,1),(515,1),(522,1)}
       506:{2,3,4,6}:{(479,1),(480,1),(483,1),(516,1),(523,1),(525,1),(526,1),(545,1)}
       507:{1,3,5}:{(480,1),(481,1),(526,1)}
       508:{1,4,6}:{(482,1),(483,1),(519,1),(527,1)}
       509:{2,4,5}:{(483,1),(484,1),(526,1),(527,1)}
       510:{1,3,6,7}:{(485,1),(486,1),(497,1),(528,1),(551,1)}
       511:{2,4,6,7}:{(486,1),(487,1),(498,1),(528,1),(529,1),(536,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(490,1),(529,1),(530,1)}
       513:{1,4,5,6}:{(488,1),(489,1),(491,1),(500,1),(530,1)}
       514:{3,5,6}:{(490,1),(491,1),(501,1)}
       515:{1,3,7}:{(492,1),(493,1),(505,1)}
       516:{2,3,4,7}:{(493,1),(494,1),(498,1),(506,1),(532,1),(533,1)}
       517:{1,3,5,7}:{(494,1),(495,1),(507,1),(533,1),(534,1)}
       518:{1,2,4,6}:{(495,1),(496,1),(500,1),(534,1),(536,1)}
       519:{1,4,7}:{(497,1),(498,1),(508,1)}
       520:{2,4,5,7}:{(498,1),(499,1),(509,1),(529,1),(533,1),(535,1),(536,1)}
       521:{1,3,4,6}:{(499,1),(500,1),(501,1),(530,1),(534,1),(536,1)}
       522:{1,3,5}:{(502,1),(503,1),(505,1),(538,1)}
       523:{2,3,4}:{(503,1),(504,1),(538,1)}
       524:{1,2,3,6}:{(505,1),(531,1),(537,1),(539,1)}
       525:{1,3,4,6}:{(505,1),(506,1),(508,1),(532,1),(538,1),(539,1),(540,1),(551,1)}
       526:{2,3,5}:{(506,1),(507,1),(509,1),(540,1)}
       527:{1,4,5}:{(508,1),(509,1),(540,1)}
       528:{1,4,6,7}:{(510,1),(511,1),(519,1),(541,1),(546,1)}
       529:{2,5,7}:{(511,1),(512,1),(541,1),(542,1)}
       530:{1,3,5,6}:{(512,1),(513,1),(514,1),(521,1),(542,1)}
       531:{1,2,3,7}:{(515,1),(524,1),(543,1)}
       532:{1,3,4,7}:{(515,1),(516,1),(519,1),(525,1),(543,1),(544,1)}
       533:{2,3,5,7}:{(516,1),(517,1),(520,1),(526,1),(544,1),(545,1)}
       534:{1,3,6}:{(517,1),(518,1),(545,1)}
       535:{1,4,5,7}:{(519,1),(520,1),(527,1),(541,1),(544,1),(546,1)}
       536:{2,4,6}:{(520,1),(521,1),(542,1),(545,1),(546,1)}
       537:{1,2,3,5}:{(522,1),(524,1),(547,1),(548,1)}
       538:{1,3,4}:{(522,1),(523,1),(547,1)}
       539:{1,2,4,6}:{(524,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       540:{1,3,5}:{(525,1),(526,1),(527,1),(548,1)}
       541:{1,5,7}:{(528,1),(529,1),(549,1)}
       542:{2,5,6}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,7}:{(531,1),(532,1),(539,1),(550,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(535,1),(540,1),(550,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(536,1),(551,1)}
       546:{1,4,6}:{(535,1),(536,1),(549,1),(551,1)}
       547:{1,2,4}:{(537,1),(538,1)}
       548:{1,2,5}:{(539,1),(540,1)}
       549:{1,5,6}:{(541,1),(542,1),(546,1)}
       550:{1,2,5,7}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,3,6}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1550 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(18,1),(19,1),(96,1),(155,1),(215,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(18,1),(24,1),(51,1),(53,1),(60,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(34,1),(141,1),(242,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(124,1),(185,1),(192,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(31,1),(38,1),(78,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(39,1),(77,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(15,1),(16,1),(55,1),(60,1),(110,1),(155,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(111,1),(160,1)}
         8:{1,2,5,6}:{(3,1),(17,1),(19,1),(22,1),(105,1),(116,1),(176,1),(222,1),(225,1)}
         9:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(52,1),(54,1),(64,1),(105,1),(111,1),(115,1),(164,1),(215,1),(225,1),(227,1),(273,1)}
        10:{1,4,6,7}:{(4,1),(15,1),(21,1),(49,1),(57,1),(106,1)}
        11:{2,5,7}:{(4,1),(5,1),(21,1),(22,1),(105,1)}
        12:{1,3,5,6}:{(5,1),(22,1),(24,1),(60,1)}
        13:{1,4,5,7}:{(5,1),(18,1),(23,1),(24,1),(52,1),(111,1)}
        14:{1,3,5,6,7}:{(12,1),(26,1),(27,1),(67,1),(68,1),(246,1)}
        15:{1,3,6,7}:{(6,1),(10,1),(28,1),(29,1),(80,1),(83,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(11,1),(29,1),(30,1),(31,1),(39,1),(84,1),(128,1),(185,1),(242,1)}
        17:{1,3,5,6}:{(7,1),(8,1),(30,1),(32,1),(34,1),(77,1),(141,1),(191,1),(194,1),(252,1)}
        18:{1,4,7}:{(7,1),(31,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(38,1),(78,1),(89,1),(141,1),(145,1),(206,1)}
        20:{1,3,5,7}:{(9,1),(33,1),(34,1),(35,1),(39,1),(77,1),(196,1),(242,1),(252,1),(253,1)}
        21:{1,5,7}:{(10,1),(11,1),(36,1),(136,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,4,5,7}:{(11,1),(13,1),(31,1),(37,1),(38,1),(39,1),(74,1),(84,1)}
        24:{1,4,6}:{(12,1),(13,1),(38,1),(141,1)}
        25:{1,3,4,5,7}:{(13,1),(33,1),(39,1),(41,1),(42,1),(68,1),(77,1),(87,1),(121,1),(132,1),(149,1),(184,1),(197,1),(210,1),(242,1),(245,1),(253,1),(285,1)}
        26:{2,5,6,7}:{(14,1),(22,1),(43,1),(44,1),(95,1),(267,1)}
        27:{1,4,6,7}:{(14,1),(24,1),(44,1),(45,1),(152,1),(268,1)}
        28:{1,2,6,7}:{(15,1),(47,1),(108,1),(110,1),(152,1),(155,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(21,1),(47,1),(48,1),(49,1),(98,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(22,1),(48,1),(50,1),(55,1),(60,1),(102,1),(105,1),(110,1),(159,1),(162,1),(176,1),(228,1),(234,1)}
        31:{2,4,7}:{(16,1),(18,1),(49,1),(50,1),(51,1)}
        32:{1,4,6}:{(17,1),(18,1),(50,1),(52,1),(273,1)}
        33:{1,3,4,7}:{(18,1),(20,1),(51,1),(53,1),(54,1),(273,1),(274,1)}
        34:{1,3,6}:{(19,1),(20,1),(55,1),(60,1),(234,1)}
        35:{2,3,5,7}:{(20,1),(54,1),(55,1),(56,1),(105,1),(115,1),(168,1),(228,1)}
        36:{1,5,6}:{(21,1),(22,1),(57,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(49,1),(57,1),(58,1),(99,1)}
        38:{2,4,6}:{(22,1),(23,1),(24,1),(57,1),(60,1),(110,1)}
        39:{3,5,7}:{(23,1),(51,1),(60,1),(102,1)}
        40:{1,4,5,6}:{(24,1),(45,1),(52,1),(59,1),(62,1),(172,1),(175,1),(237,1),(268,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(60,1),(62,1),(63,1),(112,1),(114,1),(175,1),(234,1),(268,1),(299,1)}
        42:{2,4,5,7}:{(25,1),(54,1),(61,1),(63,1),(64,1),(95,1),(105,1),(115,1),(153,1),(165,1),(178,1),(215,1),(227,1),(236,1)}
        43:{1,5,6,7}:{(26,1),(36,1),(65,1),(124,1),(284,1)}
        44:{2,4,6,7}:{(26,1),(27,1),(38,1),(65,1),(66,1),(67,1),(120,1),(286,1)}
        45:{1,4,5,7}:{(27,1),(40,1),(66,1),(68,1),(182,1),(184,1)}
        46:{1,3,4,6,7}:{(27,1),(41,1),(67,1),(68,1),(69,1),(121,1),(123,1),(184,1),(242,1)}
        47:{1,2,5,7}:{(28,1),(29,1),(70,1),(71,1),(84,1),(182,1),(185,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(36,1),(70,1),(72,1),(80,1),(83,1),(127,1),(129,1),(136,1),(200,1)}
        49:{1,4,7}:{(29,1),(31,1),(72,1)}
        50:{2,4,6}:{(30,1),(31,1),(32,1),(72,1),(74,1),(75,1),(254,1)}
        51:{3,4,7}:{(31,1),(39,1),(75,1),(242,1)}
        52:{1,4,5}:{(32,1),(74,1),(77,1),(194,1)}
        53:{1,3,4,6}:{(32,1),(33,1),(34,1),(75,1),(77,1),(78,1)}
        54:{2,4,7}:{(33,1),(35,1),(78,1),(79,1),(254,1)}
        55:{2,3,6}:{(34,1),(35,1),(78,1),(80,1),(145,1)}
        56:{1,3,5,7}:{(35,1),(79,1),(80,1),(81,1),(136,1),(138,1),(200,1)}
        57:{1,4,6}:{(36,1),(37,1),(38,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(39,1),(73,1),(83,1),(84,1),(129,1)}
        59:{2,4,5,6}:{(38,1),(40,1),(66,1),(74,1),(82,1),(85,1),(88,1),(140,1),(143,1),(206,1),(260,1),(286,1)}
        60:{3,6}:{(38,1),(39,1)}
        61:{2,3,5,7}:{(39,1),(42,1),(76,1),(84,1),(86,1),(87,1),(133,1),(242,1),(253,1),(285,1),(307,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(68,1),(77,1),(85,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(86,1),(88,1),(89,1),(145,1)}
        64:{1,4,5,7}:{(42,1),(79,1),(87,1),(89,1),(124,1),(136,1),(184,1),(197,1),(205,1),(258,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(57,1),(91,1),(92,1),(298,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(59,1),(91,1),(93,1),(95,1),(151,1),(153,1),(215,1)}
        67:{3,6,7}:{(44,1),(60,1),(93,1),(299,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(62,1),(93,1),(95,1)}
        69:{2,4,6,7}:{(46,1),(63,1),(94,1),(95,1),(96,1),(153,1),(155,1),(215,1)}
        70:{1,2,5,6}:{(47,1),(48,1),(97,1),(108,1),(110,1),(162,1),(169,1),(172,1),(176,1)}
        71:{1,2,4,7}:{(47,1),(49,1),(97,1),(98,1),(101,1),(212,1),(215,1),(261,1)}
        72:{1,4,6}:{(48,1),(49,1),(50,1),(99,1),(229,1)}
        73:{1,3,4,7}:{(49,1),(51,1),(58,1),(98,1),(100,1),(101,1)}
        74:{2,4,5}:{(50,1),(52,1),(99,1),(102,1),(105,1),(162,1)}
        75:{3,4,6}:{(50,1),(51,1),(60,1),(102,1),(234,1),(274,1)}
        76:{2,3,4,7}:{(51,1),(54,1),(61,1),(101,1),(103,1),(104,1),(153,1),(168,1),(178,1),(211,1),(265,1),(274,1),(296,1)}
        77:{1,3,5}:{(52,1),(53,1),(102,1),(105,1)}
        78:{2,4,6}:{(53,1),(54,1),(55,1),(105,1),(106,1)}
        79:{1,4,7}:{(54,1),(56,1),(106,1),(229,1)}
        80:{1,3,6}:{(55,1),(56,1),(106,1),(108,1)}
        81:{1,2,5,7}:{(56,1),(107,1),(108,1),(115,1),(169,1),(312,1)}
        82:{1,4,5,6}:{(57,1),(59,1),(91,1),(99,1),(109,1),(116,1),(175,1),(278,1),(298,1)}
        83:{1,3,6}:{(57,1),(58,1),(60,1),(110,1)}
        84:{2,5,7}:{(58,1),(101,1),(110,1),(111,1),(162,1)}
        85:{3,5,6}:{(59,1),(60,1),(93,1),(102,1),(112,1),(234,1),(279,1),(299,1)}
        86:{2,3,6}:{(60,1),(61,1),(63,1),(110,1),(114,1),(234,1),(299,1),(313,1)}
        87:{1,3,5,7}:{(61,1),(64,1),(104,1),(111,1),(114,1),(115,1),(166,1),(312,1)}
        88:{2,5,6}:{(62,1),(63,1),(95,1),(105,1),(116,1),(236,1)}
        89:{1,4,6}:{(63,1),(64,1),(114,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(107,1),(115,1),(117,1),(118,1),(156,1),(169,1),(178,1),(215,1),(218,1),(227,1),(229,1),(236,1),(237,1),(266,1),(312,1)}
        91:{1,4,5,7}:{(65,1),(66,1),(82,1),(119,1),(124,1),(184,1)}
        92:{1,3,6,7}:{(65,1),(67,1),(83,1),(119,1),(120,1),(308,1)}
        93:{3,5,7}:{(66,1),(67,1),(85,1),(121,1),(242,1)}
        94:{2,3,6,7}:{(67,1),(69,1),(86,1),(120,1),(122,1),(123,1),(242,1)}
        95:{2,5,7}:{(68,1),(69,1),(88,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(89,1),(123,1),(124,1),(184,1)}
        97:{1,2,4,6}:{(70,1),(71,1),(72,1),(126,1),(127,1),(130,1),(202,1),(206,1),(255,1)}
        98:{1,3,7}:{(71,1),(127,1),(128,1),(242,1)}
        99:{1,4,5}:{(72,1),(74,1),(129,1),(136,1)}
       100:{1,3,4,6}:{(72,1),(73,1),(75,1),(83,1),(127,1),(129,1),(130,1),(189,1)}
       101:{2,4,7}:{(73,1),(84,1),(128,1),(130,1),(131,1)}
       102:{3,5}:{(74,1),(75,1)}
       103:{2,3,4,6}:{(75,1),(76,1),(78,1),(86,1),(130,1),(133,1),(134,1),(143,1),(199,1),(201,1),(208,1),(247,1),(254,1),(259,1),(293,1)}
       104:{1,3,4,7}:{(76,1),(79,1),(87,1),(131,1),(134,1),(135,1),(138,1),(184,1),(196,1),(205,1),(238,1),(242,1),(306,1)}
       105:{2,5}:{(77,1),(78,1),(136,1)}
       106:{1,4,6}:{(78,1),(79,1),(80,1),(136,1)}
       107:{1,2,4,7}:{(79,1),(81,1),(135,1),(137,1),(138,1),(280,1),(306,1)}
       108:{1,2,6}:{(80,1),(81,1),(145,1),(314,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(85,1),(119,1),(129,1),(139,1),(140,1),(294,1),(308,1)}
       110:{2,6}:{(83,1),(84,1),(141,1)}
       111:{1,5,7}:{(84,1),(131,1),(141,1),(194,1)}
       112:{3,4,6}:{(85,1),(121,1),(132,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(122,1),(133,1),(140,1),(143,1),(144,1),(201,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(141,1),(145,1),(314,1)}
       115:{2,5,7}:{(87,1),(135,1),(145,1),(198,1)}
       116:{1,5,6}:{(88,1),(89,1),(124,1),(136,1),(258,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(206,1),(208,1),(209,1),(286,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(138,1),(146,1),(148,1),(149,1),(200,1),(210,1),(242,1),(253,1),(285,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(109,1),(150,1),(151,1)}
       120:{2,6,7}:{(92,1),(110,1),(151,1),(152,1),(313,1)}
       121:{3,4,7}:{(93,1),(112,1),(153,1)}
       122:{2,3,5,7}:{(93,1),(94,1),(95,1),(113,1),(151,1),(153,1),(154,1),(211,1)}
       123:{1,3,6,7}:{(94,1),(96,1),(114,1),(152,1),(154,1),(155,1)}
       124:{1,5,7}:{(95,1),(96,1),(116,1)}
       125:{1,2,4,6,7}:{(96,1),(117,1),(155,1),(156,1),(157,1),(215,1),(217,1),(218,1)}
       126:{1,2,4,5}:{(97,1),(99,1),(158,1),(162,1),(169,1),(220,1),(224,1),(227,1),(229,1),(271,1),(300,1)}
       127:{1,3,6}:{(97,1),(98,1),(158,1),(159,1),(234,1)}
       128:{2,3,7}:{(98,1),(101,1),(159,1),(160,1),(261,1)}
       129:{1,3,5}:{(99,1),(100,1),(102,1),(162,1)}
       130:{2,4,6}:{(100,1),(101,1),(110,1),(159,1),(162,1),(163,1),(220,1)}
       131:{1,4,7}:{(101,1),(111,1),(160,1),(163,1)}
       132:{3,4,5}:{(102,1),(112,1),(165,1),(274,1),(279,1)}
       133:{2,3,5}:{(102,1),(103,1),(105,1),(162,1),(165,1),(166,1),(236,1),(279,1),(305,1)}
       134:{1,3,4,6}:{(103,1),(104,1),(106,1),(114,1),(163,1),(166,1),(167,1),(170,1),(175,1),(226,1),(229,1),(230,1),(233,1),(234,1),(269,1),(273,1),(274,1),(304,1)}
       135:{2,4,7}:{(104,1),(115,1),(167,1),(168,1),(261,1)}
       136:{1,5}:{(105,1),(106,1)}
       137:{1,2,4,6}:{(106,1),(107,1),(108,1),(167,1),(169,1),(170,1),(229,1),(275,1),(300,1),(304,1)}
       138:{1,3,7}:{(107,1),(168,1),(170,1)}
       139:{1,3,4,6}:{(109,1),(112,1),(150,1),(161,1),(171,1),(175,1),(230,1),(234,1)}
       140:{2,5,6}:{(109,1),(110,1),(151,1),(162,1),(171,1),(172,1),(305,1),(313,1)}
       141:{1,6}:{(110,1),(111,1)}
       142:{1,2,5,7}:{(111,1),(115,1),(164,1),(173,1),(174,1),(225,1)}
       143:{2,4,6}:{(112,1),(113,1),(153,1),(165,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(154,1),(166,1),(172,1),(175,1),(176,1),(230,1),(234,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,3,5,7}:{(115,1),(118,1),(168,1),(174,1),(177,1),(178,1),(228,1),(236,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(156,1),(169,1),(176,1),(179,1),(236,1),(267,1),(275,1)}
       148:{1,3,6}:{(117,1),(118,1),(177,1),(234,1),(299,1)}
       149:{1,3,4,7}:{(118,1),(178,1),(180,1),(218,1),(229,1),(265,1),(274,1)}
       150:{1,3,4,7}:{(119,1),(121,1),(139,1),(181,1),(184,1),(238,1),(242,1)}
       151:{2,5,7}:{(119,1),(120,1),(140,1),(181,1),(182,1)}
       152:{1,6,7}:{(120,1),(141,1),(182,1),(314,1)}
       153:{2,4,7}:{(121,1),(122,1),(143,1),(184,1)}
       154:{1,3,5,7}:{(122,1),(123,1),(124,1),(144,1),(182,1),(184,1),(185,1),(238,1),(242,1)}
       155:{2,6,7}:{(123,1),(145,1),(185,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(147,1),(185,1),(187,1),(244,1),(280,1)}
       157:{1,3,6,7}:{(125,1),(148,1),(186,1),(187,1),(242,1),(314,1)}
       158:{1,3,5}:{(126,1),(127,1),(189,1),(190,1),(253,1),(309,1)}
       159:{2,3,6}:{(127,1),(128,1),(130,1),(190,1),(191,1),(255,1)}
       160:{1,3,7}:{(128,1),(131,1),(191,1),(192,1)}
       161:{1,3,4,5}:{(129,1),(132,1),(139,1),(189,1),(193,1),(197,1),(250,1),(253,1),(291,1),(294,1)}
       162:{2,5}:{(129,1),(130,1),(194,1)}
       163:{1,4,6}:{(130,1),(131,1),(141,1),(191,1),(194,1),(248,1)}
       164:{1,2,4,7}:{(131,1),(135,1),(142,1),(192,1),(195,1),(196,1),(205,1)}
       165:{2,4,5}:{(132,1),(133,1),(143,1),(197,1),(254,1)}
       166:{1,3,5}:{(133,1),(134,1),(136,1),(194,1),(197,1),(198,1),(253,1),(258,1),(311,1)}
       167:{2,4,6}:{(134,1),(135,1),(145,1),(198,1),(199,1),(254,1),(255,1),(287,1)}
       168:{2,3,7}:{(135,1),(138,1),(196,1),(199,1),(242,1)}
       169:{1,2,5}:{(136,1),(137,1),(198,1),(200,1),(311,1)}
       170:{1,3,6}:{(137,1),(138,1),(199,1),(200,1),(309,1)}
       171:{2,4,6}:{(139,1),(140,1),(181,1),(193,1),(201,1),(202,1),(255,1)}
       172:{1,5,6}:{(140,1),(141,1),(182,1),(194,1),(202,1),(311,1),(314,1)}
       173:{1,2,6}:{(141,1),(142,1),(145,1),(204,1)}
       174:{1,3,5,7}:{(142,1),(146,1),(196,1),(204,1),(205,1),(252,1),(258,1)}
       175:{1,4,6}:{(143,1),(144,1),(184,1),(197,1),(206,1)}
       176:{2,5,6}:{(144,1),(145,1),(185,1),(198,1),(206,1),(255,1)}
       177:{2,3,6}:{(145,1),(146,1),(148,1),(204,1),(208,1)}
       178:{2,4,7}:{(146,1),(149,1),(205,1),(208,1),(254,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(187,1),(200,1),(207,1),(209,1),(210,1),(292,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(208,1),(209,1),(210,1),(259,1)}
       181:{2,4,7}:{(150,1),(151,1),(171,1),(211,1),(212,1),(261,1)}
       182:{1,5,7}:{(151,1),(152,1),(172,1),(212,1)}
       183:{1,2,6,7}:{(152,1),(155,1),(173,1),(213,1),(214,1),(313,1)}
       184:{1,4,7}:{(153,1),(154,1),(175,1),(215,1)}
       185:{2,5,7}:{(154,1),(155,1),(176,1),(215,1),(261,1)}
       186:{2,3,6,7}:{(155,1),(157,1),(177,1),(214,1),(216,1),(217,1),(299,1),(313,1)}
       187:{1,3,5,7}:{(156,1),(157,1),(179,1),(216,1),(218,1),(295,1),(312,1)}
       188:{1,3,4,6,7}:{(157,1),(180,1),(217,1),(218,1),(219,1),(265,1),(268,1),(299,1)}
       189:{1,3,4}:{(158,1),(220,1),(229,1),(274,1)}
       190:{2,3,5}:{(158,1),(159,1),(162,1),(220,1),(221,1),(271,1),(301,1)}
       191:{1,3,6}:{(159,1),(160,1),(163,1),(221,1),(222,1)}
       192:{1,2,7}:{(160,1),(222,1),(261,1)}
       193:{2,4,5}:{(161,1),(162,1),(171,1),(220,1),(223,1),(224,1),(271,1),(303,1),(305,1)}
       194:{1,5}:{(162,1),(163,1)}
       195:{1,2,4,6}:{(163,1),(164,1),(167,1),(173,1),(222,1),(225,1),(226,1),(233,1),(270,1),(273,1)}
       196:{1,3,7}:{(164,1),(168,1),(226,1)}
       197:{1,4,5}:{(165,1),(166,1),(175,1),(227,1),(229,1),(273,1)}
       198:{2,5}:{(166,1),(167,1)}
       199:{2,3,6}:{(167,1),(168,1),(170,1),(226,1),(228,1),(234,1),(301,1)}
       200:{1,3,5}:{(169,1),(170,1),(228,1),(229,1)}
       201:{2,3,6}:{(171,1),(211,1),(223,1),(230,1),(234,1)}
       202:{1,4,6}:{(171,1),(172,1),(212,1),(224,1),(230,1)}
       203:{1,2,5,6}:{(172,1),(173,1),(176,1),(213,1),(225,1),(231,1),(232,1),(305,1),(313,1)}
       204:{1,3,6}:{(173,1),(174,1),(177,1),(233,1)}
       205:{1,4,7}:{(174,1),(178,1),(233,1),(273,1)}
       206:{2,4,6}:{(175,1),(176,1),(215,1),(227,1),(234,1)}
       207:{2,3,5,6}:{(176,1),(177,1),(179,1),(216,1),(228,1),(232,1),(234,1),(235,1),(236,1),(267,1),(276,1),(279,1),(299,1),(305,1),(313,1)}
       208:{2,4,6}:{(177,1),(178,1),(180,1),(233,1),(236,1)}
       209:{1,4,6}:{(179,1),(218,1),(229,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(236,1),(237,1),(279,1)}
       211:{2,3,7}:{(181,1),(201,1),(238,1),(242,1)}
       212:{1,4,7}:{(181,1),(182,1),(202,1),(238,1)}
       213:{1,2,5,7}:{(182,1),(183,1),(185,1),(203,1),(239,1),(240,1),(307,1)}
       214:{1,3,6,7}:{(183,1),(186,1),(204,1),(240,1),(241,1),(308,1)}
       215:{2,4,7}:{(184,1),(185,1),(206,1),(242,1)}
       216:{2,3,5,7}:{(185,1),(186,1),(187,1),(207,1),(240,1),(242,1),(243,1),(244,1),(281,1),(285,1),(307,1)}
       217:{2,4,6,7}:{(186,1),(188,1),(208,1),(241,1),(243,1),(244,1),(286,1)}
       218:{1,4,7}:{(187,1),(209,1),(243,1)}
       219:{1,3,5,7}:{(188,1),(210,1),(244,1),(245,1),(246,1),(285,1)}
       220:{2,4}:{(189,1),(190,1),(248,1)}
       221:{1,3,5}:{(190,1),(191,1),(194,1),(248,1),(249,1),(288,1)}
       222:{1,2,6}:{(191,1),(192,1),(249,1),(255,1)}
       223:{2,3,5}:{(193,1),(201,1),(247,1),(250,1),(253,1)}
       224:{1,4,5}:{(193,1),(194,1),(202,1),(248,1),(250,1),(310,1),(311,1)}
       225:{1,2,5}:{(194,1),(195,1),(198,1),(252,1),(258,1)}
       226:{1,3,6}:{(195,1),(196,1),(199,1),(252,1),(288,1)}
       227:{2,4,5}:{(197,1),(198,1),(206,1),(253,1),(254,1)}
       228:{2,3,5}:{(198,1),(199,1),(200,1),(252,1),(253,1),(254,1)}
       229:{1,4}:{(200,1),(254,1)}
       230:{1,3,6}:{(201,1),(202,1),(238,1),(250,1),(255,1)}
       231:{1,2,4,6}:{(202,1),(203,1),(206,1),(239,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,3,5,6}:{(203,1),(204,1),(207,1),(240,1),(252,1),(256,1),(257,1),(258,1),(284,1),(294,1),(308,1)}
       233:{1,4,6}:{(204,1),(205,1),(208,1),(258,1)}
       234:{3,6}:{(206,1),(242,1),(253,1)}
       235:{2,4,6}:{(207,1),(209,1),(243,1),(254,1),(257,1),(259,1),(260,1)}
       236:{2,5}:{(208,1),(210,1),(258,1)}
       237:{1,4,5}:{(209,1),(210,1),(260,1),(311,1)}
       238:{1,3,7}:{(211,1),(212,1),(230,1),(261,1)}
       239:{1,2,4,7}:{(212,1),(213,1),(215,1),(231,1),(261,1),(262,1),(263,1),(296,1)}
       240:{1,3,5,7}:{(213,1),(214,1),(216,1),(232,1),(262,1),(263,1),(264,1)}
       241:{1,4,6,7}:{(214,1),(217,1),(233,1),(263,1),(264,1),(298,1)}
       242:{3,7}:{(215,1),(234,1)}
       243:{2,4,7}:{(216,1),(218,1),(235,1),(263,1),(265,1)}
       244:{2,5,7}:{(217,1),(219,1),(236,1),(264,1),(267,1)}
       245:{1,4,5,7}:{(218,1),(219,1),(237,1),(266,1),(268,1),(312,1)}
       246:{1,3,5,6}:{(219,1),(267,1),(268,1),(299,1)}
       247:{2,3,4}:{(220,1),(223,1),(269,1),(274,1),(301,1),(303,1)}
       248:{1,4}:{(220,1),(221,1)}
       249:{1,2,5}:{(221,1),(222,1),(270,1),(271,1)}
       250:{1,3,5}:{(223,1),(224,1),(230,1),(269,1),(271,1)}
       251:{1,2,4,5}:{(224,1),(225,1),(227,1),(231,1),(270,1),(271,1),(272,1),(273,1),(278,1),(303,1),(305,1)}
       252:{1,3,5}:{(225,1),(226,1),(228,1),(273,1)}
       253:{3,5}:{(227,1),(234,1),(274,1)}
       254:{2,4}:{(228,1),(229,1),(273,1),(274,1)}
       255:{2,6}:{(230,1),(261,1),(271,1)}
       256:{1,3,6}:{(231,1),(234,1),(262,1),(272,1),(276,1)}
       257:{1,4,6}:{(232,1),(235,1),(263,1),(273,1),(278,1)}
       258:{1,5}:{(233,1),(236,1)}
       259:{3,4,6}:{(234,1),(235,1),(265,1),(274,1),(279,1),(299,1)}
       260:{2,4,5}:{(235,1),(236,1),(237,1),(278,1),(279,1),(305,1)}
       261:{2,7}:{(238,1),(255,1)}
       262:{1,3,7}:{(239,1),(242,1),(256,1),(281,1)}
       263:{1,4,7}:{(240,1),(243,1),(257,1)}
       264:{1,5,7}:{(241,1),(244,1),(258,1),(284,1)}
       265:{3,4,7}:{(242,1),(243,1),(259,1),(285,1)}
       266:{2,4,5,7}:{(243,1),(244,1),(245,1),(260,1),(283,1),(285,1),(286,1),(307,1)}
       267:{2,5,6}:{(244,1),(246,1),(284,1),(286,1)}
       268:{1,4,6}:{(245,1),(246,1),(286,1),(314,1)}
       269:{1,3,4}:{(247,1),(248,1),(250,1),(287,1),(288,1),(309,1),(310,1)}
       270:{1,2,4}:{(248,1),(249,1),(287,1),(288,1)}
       271:{2,5}:{(250,1),(255,1),(287,1)}
       272:{1,3,5}:{(251,1),(253,1),(256,1),(288,1),(290,1),(291,1)}
       273:{1,4}:{(252,1),(254,1)}
       274:{3,4}:{(253,1),(254,1)}
       275:{1,2,6}:{(255,1),(280,1),(289,1),(292,1)}
       276:{2,3,6}:{(255,1),(256,1),(281,1),(290,1),(292,1),(293,1)}
       277:{1,3,4,6}:{(256,1),(257,1),(259,1),(282,1),(291,1),(293,1),(294,1),(308,1)}
       278:{1,4,5}:{(257,1),(258,1),(260,1),(294,1)}
       279:{3,5}:{(259,1),(260,1)}
       280:{1,2,7}:{(261,1),(275,1),(295,1)}
       281:{2,3,7}:{(261,1),(262,1),(276,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(277,1),(296,1),(297,1)}
       283:{1,4,5,7}:{(263,1),(264,1),(266,1),(278,1),(297,1),(298,1)}
       284:{1,5,6}:{(264,1),(267,1),(298,1)}
       285:{3,5,7}:{(265,1),(266,1),(279,1),(299,1)}
       286:{2,4,6}:{(266,1),(267,1),(268,1),(298,1),(299,1),(313,1)}
       287:{2,4}:{(269,1),(271,1),(301,1)}
       288:{1,3}:{(270,1),(301,1)}
       289:{1,2,5}:{(271,1),(275,1),(300,1),(302,1)}
       290:{2,3,5}:{(271,1),(272,1),(276,1),(301,1),(302,1),(303,1),(305,1)}
       291:{1,3,4}:{(272,1),(273,1),(274,1),(303,1)}
       292:{1,3,6}:{(275,1),(276,1),(295,1),(302,1),(304,1)}
       293:{2,4,6}:{(276,1),(277,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       294:{1,3,5}:{(277,1),(278,1),(279,1),(305,1)}
       295:{1,3,7}:{(280,1),(281,1),(292,1),(306,1)}
       296:{2,4,7}:{(281,1),(282,1),(293,1),(306,1),(307,1)}
       297:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(307,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(286,1),(308,1)}
       299:{3,6}:{(285,1),(286,1)}
       300:{1,2,4}:{(287,1),(289,1),(309,1),(310,1)}
       301:{2,3}:{(287,1),(288,1),(309,1)}
       302:{1,3,5}:{(289,1),(290,1),(292,1),(309,1),(310,1),(311,1)}
       303:{2,4}:{(290,1),(291,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(306,1),(310,1),(311,1),(314,1)}
       305:{2,5}:{(293,1),(294,1),(311,1)}
       306:{1,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(305,1),(312,1),(313,1)}
       308:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       309:{1,3}:{(300,1),(301,1)}
       310:{1,4}:{(302,1),(303,1)}
       311:{1,5}:{(304,1),(305,1)}
       312:{1,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1551 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(39,1),(44,1),(79,1),(85,1),(86,1),(88,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(23,1),(28,1),(33,1),(60,1),(64,1),(66,1),(72,1),(100,1),(102,1),(108,1),(111,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(58,1),(99,1),(106,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(123,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(121,1),(122,1),(134,1),(154,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(125,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(121,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(6,1),(21,1),(22,1),(58,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(4,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(23,1),(25,1),(66,1),(74,1),(104,1),(139,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(140,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(60,1),(71,1),(101,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(58,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(143,1),(149,1),(163,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(142,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(14,1),(36,1),(37,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(16,1),(37,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(12,1),(40,1),(82,1),(95,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1),(121,1),(134,1),(153,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(40,1),(43,1),(44,1),(46,1),(153,1),(169,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(78,1),(81,1),(89,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(38,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(125,1),(154,1),(170,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,5,6,7}:{(21,1),(26,1),(55,1),(99,1),(139,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(55,1),(56,1)}
        38:{2,4,5,7}:{(22,1),(30,1),(56,1),(58,1),(99,1),(162,1)}
        39:{3,4,6,7}:{(22,1),(31,1),(58,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(60,1)}
        41:{1,2,5,6}:{(24,1),(26,1),(59,1),(61,1),(113,1),(117,1),(140,1),(149,1),(150,1)}
        42:{1,2,4,5,7}:{(24,1),(27,1),(60,1),(61,1),(62,1),(70,1),(101,1),(103,1),(112,1),(116,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(59,1),(63,1),(66,1),(74,1),(104,1),(106,1),(114,1),(140,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(60,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(56,1),(65,1),(68,1),(71,1),(101,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(103,1),(112,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(58,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{2,4,6,7}:{(36,1),(37,1),(45,1),(76,1),(77,1)}
        56:{1,4,5,7}:{(37,1),(38,1),(47,1),(76,1),(78,1),(121,1),(152,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(48,1),(77,1),(78,1),(79,1),(118,1),(120,1),(152,1),(169,1)}
        58:{3,5,7}:{(38,1),(39,1),(50,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(43,1),(80,1),(82,1),(95,1),(122,1),(134,1),(161,1)}
        60:{1,4,7}:{(40,1),(44,1),(80,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(45,1),(80,1),(82,1),(91,1),(123,1),(133,1),(160,1)}
        62:{1,3,5,7}:{(42,1),(46,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(80,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(169,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(76,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(169,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(78,1),(87,1),(90,1),(92,1),(122,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(121,1),(124,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(56,1),(65,1),(97,1),(99,1),(137,1)}
        77:{3,6,7}:{(55,1),(66,1),(97,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(58,1),(68,1),(97,1),(99,1)}
        79:{2,4,6,7}:{(57,1),(69,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(60,1),(63,1),(101,1),(168,1)}
        81:{1,3,4,7}:{(60,1),(62,1),(64,1),(102,1),(103,1),(168,1),(174,1)}
        82:{1,3,6}:{(61,1),(62,1),(66,1),(104,1),(167,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(112,1),(140,1),(147,1),(166,1)}
        84:{2,4,5}:{(63,1),(71,1),(101,1),(106,1),(114,1),(140,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(103,1),(107,1),(108,1),(137,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(97,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(99,1),(113,1),(114,1),(140,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(77,1),(87,1),(118,1)}
        98:{2,3,6,7}:{(77,1),(79,1),(88,1),(119,1),(120,1),(169,1)}
        99:{2,5,7}:{(78,1),(79,1),(90,1),(121,1)}
       100:{1,4,6,7}:{(79,1),(91,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(84,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(85,1),(122,1),(123,1)}
       103:{2,4,7}:{(81,1),(83,1),(123,1),(124,1),(172,1)}
       104:{2,3,6}:{(82,1),(83,1),(123,1),(125,1),(133,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(123,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(124,1),(129,1),(130,1),(136,1),(152,1),(156,1),(169,1)}
       109:{3,4,6}:{(87,1),(118,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(119,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(121,1),(134,1),(154,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{3,4,7}:{(97,1),(109,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(110,1),(137,1),(138,1)}
       120:{1,3,6,7}:{(98,1),(100,1),(111,1),(138,1),(139,1)}
       121:{1,5,7}:{(99,1),(100,1),(113,1)}
       122:{1,3,5}:{(101,1),(102,1),(106,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,4,7}:{(103,1),(105,1),(141,1),(173,1)}
       125:{1,3,6}:{(104,1),(105,1),(141,1),(143,1)}
       126:{1,2,5,7}:{(105,1),(112,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(140,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(141,1),(145,1),(146,1),(148,1),(151,1),(164,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(137,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(131,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(132,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(120,1),(133,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,4,7}:{(124,1),(126,1),(130,1),(155,1),(156,1)}
       143:{1,2,6}:{(125,1),(126,1),(133,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(154,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(156,1),(159,1),(169,1)}
       148:{1,4,6}:{(131,1),(132,1),(152,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(153,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(148,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(149,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(146,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(142,1),(147,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(164,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(162,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(160,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(158,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(159,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(170,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(169,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(167,1)}
       170:{1,3,5}:{(163,1),(164,1),(166,1),(173,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1552 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(194,1),(204,1),(205,1),(308,1),(314,1),(404,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(255,1),(365,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(242,1),(258,1),(362,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(404,1),(410,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(205,1),(207,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(408,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(294,1),(308,1),(311,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(83,1),(98,1),(99,1),(151,1),(159,1),(262,1),(271,1),(365,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(162,1),(166,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(258,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(358,1),(387,1),(388,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(410,1),(418,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(205,1),(323,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(117,1),(131,1),(132,1),(196,1),(206,1),(312,1),(319,1),(408,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(128,1),(133,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(211,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(311,1),(313,1),(336,1),(339,1),(340,1),(408,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(131,1),(404,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(365,1),(373,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(151,1),(162,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(258,1),(370,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(156,1),(245,1),(349,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(172,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(186,1),(265,1),(269,1),(285,1),(288,1),(290,1),(369,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(364,1),(380,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(68,1),(114,1),(199,1),(218,1),(219,1),(323,1),(398,1)}
        38:{2,3,4,5}:{(24,1),(59,1),(60,1),(124,1),(295,1),(418,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(408,1),(415,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(131,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(147,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(128,1),(136,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(131,1),(196,1),(211,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(396,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(131,1),(202,1),(298,1),(312,1),(427,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(333,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(128,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(130,1),(146,1),(222,1),(226,1),(236,1),(238,1),(327,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(131,1),(225,1),(321,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(408,1),(410,1)}
        57:{2,4,5,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(98,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(40,1),(84,1),(85,1),(94,1),(152,1),(249,1),(267,1),(268,1),(352,1),(370,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(82,1),(86,1),(87,1),(162,1),(243,1),(373,1)}
        60:{1,3,4,5}:{(38,1),(41,1),(86,1),(88,1),(95,1),(160,1),(342,1)}
        61:{2,3,4,5,7}:{(38,1),(42,1),(87,1),(89,1),(90,1),(113,1),(165,1),(167,1),(193,1),(346,1),(369,1),(372,1),(454,1),(455,1),(457,1),(506,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(186,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(88,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(174,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(180,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(151,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(172,1),(174,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(245,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(362,1),(380,1),(384,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(180,1),(281,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(172,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(285,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(174,1),(278,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(369,1),(372,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(323,1)}
        83:{1,4,5,6}:{(57,1),(62,1),(114,1),(117,1),(136,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(63,1),(115,1),(117,1),(118,1),(131,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(62,1),(114,1),(121,1),(122,1),(128,1),(205,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(63,1),(115,1),(122,1),(211,1),(296,1),(415,1)}
        88:{2,4,5}:{(60,1),(121,1),(124,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(66,1),(122,1),(125,1),(126,1),(134,1),(208,1),(213,1),(240,1),(327,1),(330,1),(389,1),(408,1),(410,1),(415,1),(418,1),(486,1),(488,1),(527,1)}
        90:{2,3,4,6}:{(61,1),(67,1),(126,1),(127,1),(147,1),(216,1),(237,1),(322,1),(393,1),(485,1),(526,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(121,1),(128,1),(129,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(130,1),(131,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(131,1),(132,1),(225,1)}
        95:{1,3,5}:{(65,1),(124,1),(128,1),(133,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(125,1),(129,1),(134,1),(135,1),(143,1),(223,1),(234,1),(327,1),(330,1),(527,1),(528,1),(529,1),(547,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(136,1)}
        98:{2,5,6}:{(67,1),(68,1),(131,1),(136,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(132,1),(137,1),(333,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(144,1),(195,1),(220,1),(227,1),(234,1),(325,1),(334,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(129,1),(140,1),(196,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(130,1),(140,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(131,1),(141,1),(142,1),(225,1),(298,1),(318,1),(329,1),(335,1),(396,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(132,1),(142,1),(408,1)}
       105:{1,2,4}:{(73,1),(133,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(134,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(136,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(222,1),(236,1),(335,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(329,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(327,1),(330,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(225,1),(415,1),(418,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(370,1)}
       116:{1,2,4,5,6}:{(83,1),(91,1),(151,1),(154,1),(155,1),(178,1),(181,1),(243,1),(271,1),(279,1),(282,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(92,1),(152,1),(156,1),(174,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(94,1),(157,1),(158,1),(253,1),(352,1)}
       120:{1,2,4,5}:{(88,1),(159,1),(160,1),(255,1),(342,1),(355,1)}
       121:{2,4,6}:{(86,1),(88,1),(151,1),(162,1),(163,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(92,1),(152,1),(163,1),(172,1),(258,1),(343,1)}
       123:{2,3,4,6,7}:{(87,1),(90,1),(93,1),(153,1),(164,1),(165,1),(186,1),(247,1),(265,1),(285,1),(347,1),(369,1),(437,1),(438,1),(455,1),(496,1)}
       124:{2,3,5}:{(88,1),(95,1),(160,1),(162,1),(166,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(163,1),(167,1),(168,1),(266,1),(369,1),(372,1),(511,1),(512,1)}
       126:{1,3,4,6}:{(89,1),(90,1),(97,1),(168,1),(169,1),(177,1),(261,1),(279,1),(289,1),(365,1),(373,1),(431,1),(541,1)}
       127:{2,3,5,6}:{(90,1),(98,1),(165,1),(169,1),(170,1),(180,1),(281,1),(435,1),(498,1),(534,1)}
       128:{1,3,6}:{(91,1),(95,1),(162,1),(172,1)}
       129:{1,2,4,7}:{(91,1),(92,1),(101,1),(163,1),(172,1)}
       130:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(174,1)}
       131:{2,5,7}:{(93,1),(94,1),(98,1),(174,1)}
       132:{1,4,5,7}:{(94,1),(99,1),(104,1),(175,1),(380,1)}
       133:{1,3,4}:{(95,1),(105,1),(166,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(167,1),(172,1),(176,1),(177,1),(278,1),(542,1),(543,1)}
       135:{1,2,4,6}:{(96,1),(97,1),(107,1),(168,1),(177,1),(178,1),(279,1),(541,1),(551,1)}
       136:{1,5,6}:{(97,1),(98,1),(174,1)}
       137:{2,4,5,6}:{(98,1),(99,1),(109,1),(175,1),(179,1),(180,1),(281,1)}
       138:{1,2,4,6}:{(100,1),(105,1),(171,1),(181,1),(182,1),(243,1),(279,1)}
       139:{1,2,3,5,7}:{(100,1),(101,1),(172,1),(182,1),(183,1),(244,1),(273,1),(275,1),(283,1)}
       140:{1,2,6,7}:{(101,1),(102,1),(107,1),(245,1)}
       141:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(174,1),(184,1),(185,1),(275,1),(277,1),(284,1)}
       142:{2,4,6,7}:{(103,1),(104,1),(109,1),(175,1),(185,1),(186,1),(369,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(176,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(177,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(281,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(180,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(275,1),(379,1),(508,1),(542,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(277,1),(378,1),(381,1)}
       151:{2,5,6}:{(114,1),(121,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(122,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(128,1),(195,1),(199,1),(200,1),(220,1),(323,1),(325,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(129,1),(196,1),(200,1),(201,1),(223,1),(296,1),(319,1),(327,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(131,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(132,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(121,1),(194,1),(205,1),(206,1),(292,1)}
       160:{1,3,5}:{(120,1),(124,1),(205,1),(207,1)}
       161:{1,2,4,5,7}:{(120,1),(125,1),(206,1),(208,1),(209,1),(240,1),(307,1),(312,1),(341,1),(389,1),(401,1),(404,1),(408,1),(410,1),(490,1),(491,1)}
       162:{2,3,6}:{(121,1),(124,1),(128,1),(205,1),(211,1)}
       163:{2,4,7}:{(121,1),(122,1),(196,1),(211,1)}
       164:{1,3,4,6,7}:{(122,1),(123,1),(126,1),(130,1),(197,1),(212,1),(213,1),(222,1),(299,1),(311,1),(327,1),(336,1),(390,1),(396,1),(408,1),(415,1),(472,1),(486,1),(519,1)}
       165:{2,3,5,7}:{(123,1),(127,1),(131,1),(213,1),(214,1),(225,1),(329,1),(394,1),(471,1),(518,1)}
       166:{2,3,4}:{(124,1),(133,1),(207,1)}
       167:{2,3,5,7}:{(124,1),(125,1),(134,1),(208,1),(211,1),(215,1),(216,1),(321,1),(531,1),(532,1)}
       168:{2,4,6}:{(125,1),(126,1),(216,1),(217,1)}
       169:{1,3,5,6}:{(126,1),(127,1),(136,1),(213,1),(217,1),(218,1),(323,1),(333,1),(466,1),(545,1)}
       170:{2,4,5,6}:{(127,1),(214,1),(218,1),(219,1),(322,1)}
       171:{1,3,4,6}:{(128,1),(133,1),(138,1),(210,1),(220,1),(221,1),(325,1)}
       172:{1,3,7}:{(128,1),(129,1),(211,1)}
       173:{1,2,4,6,7}:{(129,1),(130,1),(135,1),(140,1),(212,1),(222,1),(223,1),(327,1),(519,1),(520,1),(528,1)}
       174:{1,5,7}:{(130,1),(131,1),(136,1)}
       175:{2,4,5,7}:{(131,1),(132,1),(137,1),(142,1),(224,1),(225,1),(329,1)}
       176:{1,3,4,7}:{(133,1),(134,1),(143,1),(215,1),(226,1),(327,1),(550,1)}
       177:{1,3,6}:{(134,1),(135,1),(216,1)}
       178:{1,2,5,6}:{(135,1),(136,1),(217,1),(223,1),(227,1),(234,1),(545,1)}
       179:{1,4,5,6}:{(136,1),(137,1),(146,1),(224,1),(229,1)}
       180:{3,5,6}:{(137,1),(147,1),(225,1)}
       181:{1,2,4,5}:{(138,1),(220,1),(234,1),(295,1),(330,1)}
       182:{1,2,4,7}:{(138,1),(139,1),(221,1),(296,1),(327,1)}
       183:{1,2,3,6,7}:{(139,1),(140,1),(144,1),(222,1),(231,1),(297,1),(325,1),(548,1)}
       184:{1,2,5,6,7}:{(140,1),(141,1),(145,1),(223,1),(232,1),(298,1),(329,1),(400,1)}
       185:{1,4,6,7}:{(141,1),(142,1),(146,1),(224,1),(327,1)}
       186:{3,4,6,7}:{(142,1),(147,1),(225,1),(396,1),(415,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(226,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(227,1),(234,1),(235,1),(236,1),(332,1),(337,1),(484,1),(530,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(229,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(327,1),(422,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(329,1),(422,1),(424,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(162,1),(241,1),(243,1),(244,1),(263,1),(367,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(163,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(165,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(279,1),(373,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(172,1),(244,1),(249,1),(250,1),(370,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(282,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(174,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(175,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,2,3,5}:{(160,1),(254,1),(255,1),(355,1)}
       205:{1,3,6}:{(159,1),(160,1),(162,1),(258,1)}
       206:{1,2,4,7}:{(159,1),(163,1),(242,1),(258,1),(343,1)}
       207:{1,3,4}:{(160,1),(166,1),(255,1)}
       208:{1,3,5,7}:{(160,1),(161,1),(167,1),(258,1),(260,1),(261,1),(364,1),(514,1),(515,1)}
       209:{1,2,4,6}:{(161,1),(168,1),(261,1),(262,1),(289,1),(365,1),(387,1),(431,1),(441,1)}
       210:{2,3,4,6}:{(162,1),(166,1),(171,1),(243,1),(257,1),(263,1),(264,1),(367,1)}
       211:{2,3,7}:{(162,1),(163,1),(172,1),(258,1)}
       212:{2,4,6,7}:{(163,1),(164,1),(168,1),(245,1),(265,1),(266,1),(369,1),(499,1),(511,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(169,1),(174,1),(266,1),(267,1),(370,1),(380,1),(432,1),(535,1)}
       214:{2,4,5,7}:{(165,1),(170,1),(247,1),(267,1),(268,1),(369,1)}
       215:{2,3,4,7}:{(166,1),(167,1),(176,1),(260,1),(269,1),(369,1),(544,1)}
       216:{2,3,6}:{(167,1),(168,1),(177,1),(261,1)}
       217:{2,5,6}:{(168,1),(169,1),(266,1)}
       218:{1,4,5,6}:{(169,1),(170,1),(267,1),(271,1),(279,1),(365,1)}
       219:{3,4,5,6}:{(170,1),(180,1),(268,1),(373,1),(498,1)}
       220:{1,3,5}:{(171,1),(181,1),(263,1)}
       221:{1,3,4,7}:{(171,1),(172,1),(182,1),(264,1),(273,1)}
       222:{1,3,6,7}:{(172,1),(173,1),(177,1),(265,1),(275,1),(542,1)}
       223:{1,2,5,7}:{(173,1),(174,1),(178,1),(266,1),(275,1),(535,1)}
       224:{1,4,5,7}:{(174,1),(175,1),(179,1),(185,1),(277,1)}
       225:{3,5,7}:{(175,1),(180,1),(186,1)}
       226:{1,3,4,6}:{(176,1),(177,1),(187,1),(269,1),(278,1),(279,1)}
       227:{1,3,5,6}:{(177,1),(178,1),(270,1),(275,1),(278,1),(279,1)}
       228:{1,2,4,5,6}:{(178,1),(179,1),(189,1),(271,1),(276,1),(279,1),(280,1),(281,1),(286,1),(375,1),(382,1),(459,1),(510,1)}
       229:{1,3,5,6}:{(179,1),(180,1),(190,1),(277,1),(281,1)}
       230:{1,2,4,5,7}:{(181,1),(182,1),(273,1),(282,1),(283,1),(346,1),(377,1)}
       231:{1,2,4,6,7}:{(182,1),(183,1),(187,1),(274,1),(282,1),(283,1),(347,1),(538,1),(551,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(189,1),(276,1),(284,1),(285,1),(349,1),(439,1),(499,1)}
       233:{1,3,4,6,7}:{(185,1),(186,1),(190,1),(277,1),(284,1),(285,1),(378,1)}
       234:{1,2,5}:{(187,1),(278,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(279,1),(286,1),(287,1),(382,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(281,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(542,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(380,1),(460,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(205,1),(292,1),(293,1),(309,1),(406,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(206,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(211,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(213,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(214,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(220,1),(295,1),(330,1),(418,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(327,1),(415,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(325,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(223,1),(298,1),(303,1),(334,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(224,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(225,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(205,1),(305,1),(306,1)}
       255:{1,2,4}:{(204,1),(207,1)}
       256:{1,2,3,5,7}:{(204,1),(208,1),(306,1),(307,1),(308,1),(341,1),(401,1),(404,1),(430,1),(493,1)}
       257:{1,3,4,6}:{(205,1),(207,1),(210,1),(292,1),(305,1),(309,1),(310,1),(406,1)}
       258:{1,3,7}:{(205,1),(206,1),(211,1)}
       259:{1,2,4,6,7}:{(206,1),(209,1),(212,1),(294,1),(311,1),(312,1),(336,1),(390,1),(408,1),(427,1),(490,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(215,1),(307,1),(313,1),(408,1),(533,1)}
       261:{1,3,6}:{(208,1),(209,1),(216,1)}
       262:{1,2,5,6}:{(209,1),(217,1),(312,1),(314,1),(333,1),(404,1),(466,1)}
       263:{2,3,5}:{(210,1),(220,1),(295,1),(309,1)}
       264:{2,3,4,7}:{(210,1),(211,1),(221,1),(296,1),(310,1),(316,1)}
       265:{2,3,6,7}:{(211,1),(212,1),(216,1),(222,1),(311,1),(318,1),(396,1),(531,1)}
       266:{2,5,7}:{(212,1),(213,1),(217,1)}
       267:{1,4,5,7}:{(213,1),(214,1),(218,1),(299,1),(319,1),(327,1),(408,1)}
       268:{3,4,5,7}:{(214,1),(219,1),(225,1),(300,1),(415,1),(471,1)}
       269:{2,3,4,6}:{(215,1),(216,1),(226,1),(313,1),(321,1),(322,1)}
       270:{2,3,5,6}:{(216,1),(217,1),(227,1),(314,1),(318,1),(321,1),(322,1),(323,1)}
       271:{2,4,5,6}:{(217,1),(218,1),(319,1),(322,1),(323,1)}
       272:{1,3,4,5,6}:{(218,1),(219,1),(229,1),(320,1),(323,1),(324,1),(331,1),(411,1),(420,1),(517,1)}
       273:{1,3,5,7}:{(220,1),(221,1),(230,1),(316,1),(325,1)}
       274:{1,3,4,6,7}:{(221,1),(222,1),(226,1),(231,1),(317,1),(325,1),(326,1),(327,1),(421,1),(519,1),(523,1),(546,1)}
       275:{1,3,5,7}:{(222,1),(223,1),(227,1),(318,1),(327,1)}
       276:{1,2,4,5,7}:{(223,1),(224,1),(228,1),(232,1),(319,1),(327,1),(328,1),(329,1),(417,1),(422,1),(487,1),(528,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(229,1),(233,1),(329,1)}
       278:{1,3,5}:{(226,1),(234,1),(321,1),(330,1)}
       279:{1,4,6}:{(227,1),(322,1),(327,1),(330,1)}
       280:{1,3,5,6}:{(228,1),(236,1),(323,1),(328,1),(331,1),(332,1),(337,1),(530,1)}
       281:{2,5,6}:{(229,1),(237,1),(329,1),(333,1)}
       282:{1,2,4,6}:{(230,1),(325,1),(334,1),(393,1),(421,1)}
       283:{1,2,5,7}:{(231,1),(234,1),(326,1),(334,1),(394,1)}
       284:{1,3,6,7}:{(232,1),(236,1),(328,1),(335,1),(396,1)}
       285:{2,4,6,7}:{(233,1),(237,1),(329,1),(335,1),(336,1),(422,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(330,1),(337,1),(424,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(530,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(333,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(422,1),(531,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(258,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(263,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(367,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(266,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(267,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(268,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(273,1),(346,1),(351,1),(352,1),(377,1),(454,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(275,1),(348,1),(352,1),(353,1),(376,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(277,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(257,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(258,1),(356,1)}
       307:{1,2,4,7}:{(255,1),(256,1),(260,1),(358,1),(516,1)}
       308:{1,2,3,6}:{(256,1),(261,1),(358,1),(387,1),(441,1)}
       309:{1,3,5}:{(257,1),(263,1),(342,1),(355,1)}
       310:{1,3,4,7}:{(257,1),(258,1),(264,1),(343,1),(356,1),(360,1)}
       311:{1,3,6,7}:{(258,1),(259,1),(261,1),(265,1),(362,1),(514,1)}
       312:{1,2,5,7}:{(259,1),(262,1),(266,1),(362,1),(380,1),(432,1)}
       313:{1,3,4,6}:{(260,1),(261,1),(269,1),(358,1),(364,1),(365,1)}
       314:{1,3,5,6}:{(261,1),(262,1),(270,1),(362,1),(364,1),(365,1)}
       315:{1,2,4,5,6}:{(262,1),(271,1),(363,1),(365,1),(366,1),(375,1),(444,1),(451,1),(459,1),(463,1),(494,1),(500,1),(534,1)}
       316:{2,3,5,7}:{(263,1),(264,1),(273,1),(346,1),(360,1),(367,1)}
       317:{2,3,4,6,7}:{(264,1),(265,1),(269,1),(274,1),(347,1),(361,1),(367,1),(368,1),(369,1),(437,1),(453,1),(496,1),(502,1),(536,1)}
       318:{2,3,5,7}:{(265,1),(266,1),(270,1),(275,1),(362,1),(369,1),(370,1)}
       319:{2,4,5,7}:{(266,1),(267,1),(271,1),(349,1),(369,1),(370,1)}
       320:{1,3,4,5,7}:{(267,1),(268,1),(272,1),(277,1),(350,1),(370,1),(371,1),(378,1),(448,1),(456,1),(495,1)}
       321:{2,3,5}:{(269,1),(278,1),(364,1),(372,1)}
       322:{2,4,6}:{(270,1),(279,1),(365,1),(369,1),(372,1),(373,1)}
       323:{3,5,6}:{(271,1),(370,1),(373,1)}
       324:{2,4,5,6}:{(272,1),(281,1),(371,1),(374,1),(375,1),(382,1),(451,1),(459,1),(534,1)}
       325:{1,3,6}:{(273,1),(282,1),(367,1)}
       326:{1,3,5,7}:{(274,1),(278,1),(283,1),(368,1),(376,1),(377,1),(535,1)}
       327:{1,4,7}:{(275,1),(279,1),(369,1)}
       328:{1,3,5,7}:{(276,1),(280,1),(284,1),(370,1),(378,1),(379,1),(542,1)}
       329:{2,5,7}:{(277,1),(281,1),(285,1),(380,1)}
       330:{1,4,5}:{(278,1),(279,1),(372,1)}
       331:{1,3,4,6}:{(279,1),(280,1),(373,1),(378,1),(381,1),(382,1)}
       332:{2,3,5,6}:{(280,1),(281,1),(288,1),(379,1),(382,1),(383,1),(385,1),(459,1),(513,1)}
       333:{1,5,6}:{(281,1),(289,1),(380,1)}
       334:{1,2,5,6}:{(282,1),(283,1),(376,1),(435,1),(551,1)}
       335:{2,3,6,7}:{(284,1),(285,1),(288,1),(379,1),(384,1),(499,1)}
       336:{1,4,6,7}:{(285,1),(289,1),(380,1),(384,1),(460,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(382,1),(385,1),(386,1),(513,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(460,1),(514,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(309,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(406,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(312,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(316,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(318,1),(391,1),(394,1),(395,1),(396,1),(413,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(319,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(320,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(325,1),(393,1),(398,1),(421,1),(485,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(327,1),(395,1),(399,1),(421,1)}
       354:{2,5,6,7}:{(304,1),(329,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(309,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(310,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(308,1),(311,1),(402,1),(403,1),(427,1),(469,1),(521,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(313,1),(404,1)}
       359:{1,2,3,5,6}:{(308,1),(314,1),(403,1),(404,1),(405,1),(412,1),(426,1),(473,1),(476,1),(492,1),(493,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(316,1),(389,1),(401,1),(406,1)}
       361:{1,3,4,6,7}:{(310,1),(311,1),(313,1),(317,1),(390,1),(402,1),(406,1),(407,1),(408,1),(475,1),(478,1),(521,1)}
       362:{1,3,5,7}:{(311,1),(312,1),(314,1),(318,1),(408,1)}
       363:{1,2,4,5,7}:{(312,1),(315,1),(319,1),(392,1),(408,1),(409,1),(417,1),(467,1),(480,1),(487,1),(490,1),(518,1)}
       364:{1,3,5}:{(313,1),(321,1),(404,1),(410,1)}
       365:{1,4,6}:{(314,1),(322,1),(408,1),(410,1)}
       366:{1,3,5,6}:{(315,1),(323,1),(409,1),(411,1),(412,1),(476,1),(492,1),(521,1)}
       367:{2,3,6}:{(316,1),(325,1),(393,1),(406,1)}
       368:{2,3,5,7}:{(317,1),(321,1),(326,1),(394,1),(407,1),(413,1),(414,1),(471,1),(518,1)}
       369:{2,4,7}:{(318,1),(322,1),(327,1),(408,1),(415,1)}
       370:{3,5,7}:{(319,1),(323,1),(396,1),(415,1)}
       371:{2,4,5,7}:{(320,1),(324,1),(329,1),(397,1),(416,1),(417,1),(422,1),(480,1),(487,1),(518,1)}
       372:{2,4,5}:{(321,1),(322,1),(330,1),(410,1),(418,1)}
       373:{3,4,6}:{(322,1),(323,1),(415,1),(418,1)}
       374:{2,3,5,6}:{(323,1),(324,1),(416,1),(419,1),(420,1)}
       375:{1,4,5,6}:{(324,1),(333,1),(417,1),(420,1),(425,1),(483,1),(545,1)}
       376:{1,3,5,6}:{(325,1),(326,1),(334,1),(413,1),(421,1),(545,1),(546,1)}
       377:{1,4,5,7}:{(326,1),(327,1),(330,1),(414,1),(421,1)}
       378:{1,3,4,7}:{(327,1),(328,1),(331,1),(415,1),(422,1)}
       379:{2,3,5,7}:{(328,1),(329,1),(332,1),(335,1),(422,1),(423,1),(487,1),(531,1)}
       380:{1,5,7}:{(329,1),(333,1),(336,1)}
       381:{1,3,4,5}:{(330,1),(331,1),(337,1),(418,1),(424,1)}
       382:{2,4,6}:{(331,1),(332,1),(422,1),(424,1),(425,1)}
       383:{1,3,5,6}:{(332,1),(333,1),(339,1),(423,1),(425,1),(426,1),(428,1),(492,1)}
       384:{1,3,6,7}:{(335,1),(336,1),(339,1),(423,1),(427,1)}
       385:{2,3,5}:{(337,1),(338,1),(424,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(425,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(360,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(362,1),(432,1),(433,1),(434,1),(446,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(363,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(367,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(369,1),(433,1),(436,1),(437,1),(453,1)}
       396:{3,6,7}:{(349,1),(370,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(371,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(380,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(360,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(358,1),(361,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(359,1),(362,1),(442,1),(443,1),(449,1),(461,1),(501,1),(514,1)}
       404:{1,2,5}:{(358,1),(364,1)}
       405:{1,2,4,6}:{(359,1),(365,1),(443,1),(444,1),(445,1),(451,1),(516,1)}
       406:{1,3,6}:{(360,1),(367,1),(431,1),(441,1)}
       407:{1,3,5,7}:{(361,1),(364,1),(368,1),(432,1),(442,1),(446,1),(447,1)}
       408:{1,4,7}:{(362,1),(365,1),(369,1)}
       409:{1,3,5,7}:{(363,1),(366,1),(370,1),(434,1),(448,1),(449,1),(514,1)}
       410:{1,4,5}:{(364,1),(365,1),(372,1)}
       411:{1,3,4,6}:{(365,1),(366,1),(373,1),(448,1),(450,1),(451,1)}
       412:{2,3,5,6}:{(366,1),(449,1),(451,1),(452,1),(459,1),(503,1),(513,1),(534,1),(536,1)}
       413:{2,3,5,6}:{(367,1),(368,1),(376,1),(435,1),(446,1),(453,1),(498,1),(534,1),(536,1)}
       414:{2,4,5,7}:{(368,1),(369,1),(372,1),(377,1),(447,1),(453,1),(454,1)}
       415:{3,4,7}:{(369,1),(370,1),(373,1)}
       416:{2,3,5,7}:{(370,1),(371,1),(374,1),(438,1),(455,1),(456,1)}
       417:{1,4,5,7}:{(371,1),(375,1),(380,1),(439,1),(456,1),(460,1),(507,1),(535,1)}
       418:{3,4,5}:{(372,1),(373,1)}
       419:{2,3,4,6}:{(373,1),(374,1),(382,1),(451,1),(455,1),(457,1),(458,1),(513,1)}
       420:{1,3,5,6}:{(374,1),(375,1),(456,1),(458,1),(459,1)}
       421:{1,4,6}:{(376,1),(377,1),(453,1)}
       422:{2,4,7}:{(378,1),(379,1),(382,1),(460,1)}
       423:{1,3,5,7}:{(379,1),(380,1),(383,1),(384,1),(460,1),(461,1),(514,1)}
       424:{2,4,5}:{(381,1),(382,1),(385,1),(462,1)}
       425:{1,4,6}:{(382,1),(383,1),(460,1),(462,1)}
       426:{1,2,5,6}:{(383,1),(387,1),(459,1),(461,1),(463,1),(464,1)}
       427:{1,2,6,7}:{(384,1),(387,1),(461,1),(499,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(514,1)}
       431:{1,4,6}:{(389,1),(393,1),(406,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(408,1),(467,1),(478,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(409,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(415,1),(471,1),(485,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(416,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(417,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(421,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(406,1)}
       442:{1,2,5,7}:{(402,1),(404,1),(407,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(405,1),(408,1),(475,1),(480,1)}
       444:{1,2,4,5}:{(404,1),(405,1),(410,1),(476,1),(482,1)}
       445:{1,3,4,6}:{(405,1),(475,1),(476,1),(477,1),(492,1),(521,1),(533,1)}
       446:{1,3,5,6}:{(406,1),(407,1),(413,1),(466,1),(473,1),(478,1),(521,1)}
       447:{1,4,5,7}:{(407,1),(408,1),(410,1),(414,1),(478,1)}
       448:{1,3,4,7}:{(408,1),(409,1),(411,1),(415,1),(480,1)}
       449:{2,3,5,7}:{(409,1),(412,1),(469,1),(480,1),(481,1),(487,1),(518,1),(531,1)}
       450:{1,3,4,5}:{(410,1),(411,1),(418,1),(476,1),(482,1)}
       451:{2,4,6}:{(411,1),(412,1),(480,1),(482,1),(483,1)}
       452:{1,3,5,6}:{(412,1),(481,1),(483,1),(484,1),(524,1),(530,1),(545,1),(546,1)}
       453:{2,4,6}:{(413,1),(414,1),(421,1),(478,1),(485,1)}
       454:{3,4,5,7}:{(414,1),(415,1),(418,1),(471,1),(485,1)}
       455:{2,3,4,7}:{(415,1),(416,1),(419,1),(422,1),(480,1),(486,1),(531,1)}
       456:{1,3,5,7}:{(416,1),(417,1),(420,1),(472,1),(486,1),(487,1)}
       457:{2,3,4,5}:{(418,1),(419,1),(424,1),(482,1),(488,1),(532,1)}
       458:{1,3,4,6}:{(419,1),(420,1),(425,1),(483,1),(486,1),(488,1),(489,1),(492,1),(530,1)}
       459:{2,5,6}:{(420,1),(487,1),(489,1)}
       460:{1,4,7}:{(422,1),(423,1),(425,1)}
       461:{1,2,5,7}:{(423,1),(426,1),(427,1),(487,1),(490,1)}
       462:{1,4,5}:{(424,1),(425,1),(428,1)}
       463:{1,2,4,6}:{(425,1),(426,1),(489,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(448,1),(495,1),(496,1),(505,1)}
       469:{2,3,6,7}:{(434,1),(449,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(453,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(456,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(446,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(444,1),(447,1),(500,1),(501,1),(506,1)}
       475:{1,3,4,7}:{(443,1),(445,1),(501,1),(502,1),(514,1)}
       476:{1,3,5}:{(444,1),(445,1),(503,1)}
       477:{2,3,4,6}:{(445,1),(451,1),(502,1),(503,1),(504,1),(513,1),(536,1),(544,1)}
       478:{1,4,6}:{(446,1),(447,1),(453,1)}
       479:{1,3,4,5,7}:{(447,1),(448,1),(450,1),(454,1),(495,1),(501,1),(505,1),(506,1)}
       480:{2,4,7}:{(448,1),(449,1),(451,1),(507,1)}
       481:{1,3,5,7}:{(449,1),(452,1),(497,1),(507,1),(508,1),(535,1),(542,1)}
       482:{2,4,5}:{(450,1),(451,1),(503,1),(509,1)}
       483:{1,4,6}:{(451,1),(452,1),(507,1),(509,1)}
       484:{1,2,5,6}:{(452,1),(459,1),(508,1),(510,1),(539,1),(551,1)}
       485:{3,4,6}:{(453,1),(454,1),(498,1)}
       486:{1,3,4,7}:{(455,1),(456,1),(458,1),(460,1),(507,1),(511,1),(514,1),(542,1)}
       487:{2,5,7}:{(456,1),(459,1),(499,1),(511,1)}
       488:{1,3,4,5}:{(457,1),(458,1),(462,1),(509,1),(512,1),(515,1),(543,1)}
       489:{2,4,6}:{(458,1),(459,1),(511,1),(512,1),(513,1)}
       490:{1,2,4,7}:{(460,1),(461,1),(463,1),(511,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(512,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(513,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(478,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(480,1),(518,1),(519,1),(526,1)}
       497:{1,3,6,7}:{(469,1),(481,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(485,1)}
       499:{2,6,7}:{(472,1),(487,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(478,1),(521,1),(526,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(476,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(477,1),(480,1),(522,1),(523,1),(531,1)}
       503:{2,3,5}:{(476,1),(477,1),(482,1),(524,1)}
       504:{1,3,4,6}:{(477,1),(483,1),(523,1),(524,1),(525,1),(530,1),(546,1),(550,1)}
       505:{1,3,4,6}:{(478,1),(479,1),(485,1),(517,1),(521,1),(526,1)}
       506:{2,4,5,7}:{(479,1),(480,1),(482,1),(518,1),(522,1),(526,1),(527,1)}
       507:{1,4,7}:{(480,1),(481,1),(483,1)}
       508:{1,2,5,7}:{(481,1),(484,1),(487,1),(520,1),(528,1)}
       509:{1,4,5}:{(482,1),(483,1),(524,1)}
       510:{1,2,4,6}:{(483,1),(484,1),(489,1),(528,1),(529,1),(530,1)}
       511:{2,4,7}:{(486,1),(487,1),(489,1),(531,1)}
       512:{2,4,5}:{(488,1),(489,1),(532,1)}
       513:{2,3,6}:{(489,1),(492,1),(530,1),(531,1),(532,1)}
       514:{1,3,7}:{(490,1),(492,1),(531,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(505,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(507,1),(535,1),(541,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(508,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(503,1),(506,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(504,1),(507,1),(537,1),(538,1),(542,1)}
       524:{1,3,5}:{(503,1),(504,1),(509,1),(539,1)}
       525:{1,2,4,6}:{(504,1),(538,1),(539,1),(540,1),(551,1),(552,1)}
       526:{2,4,6}:{(505,1),(506,1),(534,1),(536,1),(541,1)}
       527:{1,4,5,7}:{(506,1),(507,1),(509,1),(535,1),(537,1),(541,1)}
       528:{1,2,4,7}:{(507,1),(508,1),(510,1),(511,1),(542,1)}
       529:{1,2,4,5}:{(509,1),(510,1),(512,1),(539,1),(543,1),(552,1)}
       530:{1,3,6}:{(510,1),(513,1),(542,1),(543,1)}
       531:{2,3,7}:{(511,1),(513,1),(514,1),(542,1)}
       532:{2,3,5}:{(512,1),(513,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(526,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(526,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(524,1),(527,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(525,1),(547,1),(548,1)}
       539:{1,2,5}:{(524,1),(525,1)}
       540:{1,2,3,6}:{(525,1),(530,1),(548,1),(549,1)}
       541:{1,4,6}:{(526,1),(527,1),(545,1),(546,1)}
       542:{1,3,7}:{(528,1),(530,1),(531,1)}
       543:{1,3,5}:{(529,1),(530,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(541,1)}
       546:{1,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(539,1),(540,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1553 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1554 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1555 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(11,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,7}:{(1,1),(10,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(37,1),(149,1),(171,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(11,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(20,1),(55,1),(56,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,4,7}:{(4,1),(5,1),(18,1),(21,1),(174,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(22,1),(23,1),(40,1),(55,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(74,1),(75,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(30,1),(34,1),(36,1),(78,1),(172,1)}
        19:{1,3,5}:{(8,1),(11,1),(31,1),(33,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(34,1),(37,1)}
        22:{1,2,5,6}:{(11,1),(12,1),(35,1),(37,1),(38,1),(60,1),(171,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(38,1),(61,1),(78,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(55,1),(97,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(45,1),(47,1),(48,1),(49,1),(86,1),(93,1),(94,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,4,7}:{(16,1),(18,1),(47,1),(51,1),(53,1),(99,1),(165,1)}
        31:{2,3,5}:{(16,1),(19,1),(48,1),(50,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(19,1),(50,1),(55,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(51,1),(54,1),(56,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(22,1),(52,1),(55,1),(56,1),(57,1),(101,1),(158,1),(164,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,6}:{(21,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(57,1),(58,1),(83,1),(174,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(78,1),(120,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(66,1),(110,1)}
        44:{1,2,3,7}:{(26,1),(65,1),(152,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(65,1),(69,1),(71,1),(117,1),(152,1)}
        48:{1,3,5}:{(28,1),(31,1),(66,1),(68,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(31,1),(33,1),(68,1),(72,1),(74,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(34,1),(69,1),(73,1),(75,1)}
        52:{2,3,5,6}:{(31,1),(32,1),(35,1),(60,1),(70,1),(74,1),(75,1),(76,1),(105,1),(121,1),(144,1),(151,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,5,7}:{(33,1),(34,1),(73,1),(77,1),(78,1),(123,1)}
        55:{1,4,6}:{(33,1),(35,1),(74,1),(78,1)}
        56:{1,3,6}:{(34,1),(37,1),(75,1),(77,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(38,1),(76,1),(78,1),(79,1),(123,1),(168,1),(172,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(55,1),(82,1),(84,1),(101,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,4,7}:{(44,1),(45,1),(47,1),(88,1),(90,1)}
        66:{1,2,5}:{(45,1),(48,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(48,1),(50,1),(93,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(88,1),(92,1),(94,1)}
        70:{1,3,5,6}:{(48,1),(49,1),(52,1),(80,1),(89,1),(93,1),(94,1),(95,1),(133,1),(139,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1),(99,1),(143,1)}
        74:{2,4,6}:{(50,1),(52,1),(55,1),(93,1),(97,1),(99,1)}
        75:{2,3,6}:{(51,1),(56,1),(94,1),(98,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(57,1),(83,1),(95,1),(99,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        77:{1,4,6}:{(54,1),(56,1),(98,1),(101,1)}
        78:{1,4,7}:{(55,1),(57,1),(99,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(102,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(74,1),(103,1),(105,1),(106,1),(121,1),(144,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(78,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(66,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(69,1),(112,1)}
        89:{1,2,5,6}:{(66,1),(67,1),(70,1),(111,1),(112,1),(113,1),(144,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,5,7}:{(68,1),(69,1),(73,1),(116,1),(117,1),(155,1)}
        93:{1,4,6}:{(68,1),(70,1),(74,1),(117,1)}
        94:{1,3,6}:{(69,1),(75,1),(112,1),(116,1)}
        95:{1,3,5,7}:{(70,1),(71,1),(76,1),(104,1),(113,1),(117,1),(118,1),(152,1),(155,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(119,1),(120,1),(157,1)}
        97:{3,4,6}:{(72,1),(74,1),(105,1),(120,1)}
        98:{2,4,6}:{(73,1),(75,1),(77,1),(116,1),(119,1),(121,1)}
        99:{2,4,7}:{(74,1),(76,1),(78,1),(117,1),(120,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(122,1),(147,1),(169,1)}
       101:{1,5,6}:{(77,1),(121,1),(123,1)}
       102:{1,4,6,7}:{(77,1),(78,1),(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(93,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(97,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(89,1),(93,1),(133,1),(134,1),(137,1)}
       112:{1,2,6}:{(88,1),(94,1)}
       113:{1,2,5,7}:{(89,1),(90,1),(95,1),(134,1),(135,1),(159,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(93,1),(97,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,6}:{(92,1),(94,1),(98,1),(139,1)}
       117:{1,4,7}:{(93,1),(95,1),(99,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(140,1)}
       119:{3,4,6}:{(96,1),(98,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(127,1)}
       121:{2,5,6}:{(98,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(117,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(120,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(117,1),(120,1),(145,1),(152,1),(154,1)}
       139:{1,5,6}:{(116,1),(121,1),(155,1)}
       140:{1,4,6,7}:{(116,1),(117,1),(118,1),(122,1),(155,1)}
       141:{3,5,6}:{(119,1),(121,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(119,1),(120,1),(122,1),(147,1),(157,1),(170,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(157,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{4,5,6}:{(141,1),(167,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(157,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1556 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1557 :   0:{1,2,3,6,7}:{(1,1),(2,1),(36,1),(76,1),(84,1),(144,1),(209,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(21,1),(60,1),(99,1),(109,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(105,1),(246,1),(314,1),(322,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(55,1),(62,1),(99,1),(237,1),(240,1),(307,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(36,1),(40,1),(79,1),(133,1),(209,1),(213,1),(282,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(11,1),(132,1),(221,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(36,1),(38,1),(78,1),(144,1),(212,1),(221,1),(284,1),(293,1),(296,1)}
         7:{1,2,4,7}:{(2,1),(13,1),(14,1),(138,1),(282,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(86,1),(132,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(55,1),(93,1),(99,1),(191,1),(194,1),(265,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1),(169,1),(251,1)}
        11:{1,2,5,6}:{(5,1),(18,1),(21,1),(101,1),(109,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(51,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1),(107,1),(250,1),(329,1)}
        14:{1,3,4,7}:{(7,1),(22,1),(24,1),(25,1),(322,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(55,1),(63,1),(101,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(307,1),(310,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(124,1),(132,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(15,1),(29,1),(32,1),(36,1),(79,1),(135,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(282,1),(287,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(132,1),(140,1),(205,1),(208,1),(226,1),(270,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(36,1),(73,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1)}
        23:{1,2,4,5}:{(13,1),(38,1),(81,1),(221,1),(287,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(293,1),(297,1)}
        25:{2,3,4,7}:{(14,1),(37,1),(39,1),(40,1),(138,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(41,1),(76,1),(86,1),(132,1),(270,1),(272,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(86,1),(336,1),(339,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(55,1),(94,1),(101,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(265,1),(268,1)}
        31:{1,3,5,6,7}:{(18,1),(20,1),(26,1),(45,1),(48,1),(53,1),(98,1),(106,1),(169,1),(246,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(22,1),(28,1),(47,1),(50,1),(51,1),(57,1),(98,1),(104,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(48,1),(52,1),(53,1),(99,1),(242,1),(262,1),(304,1),(311,1)}
        35:{1,2,4,5,6}:{(21,1),(23,1),(49,1),(52,1),(54,1),(101,1),(107,1),(172,1),(173,1),(192,1),(238,1),(248,1),(250,1),(256,1)}
        36:{1,3,6}:{(21,1),(22,1),(55,1)}
        37:{2,3,5,7}:{(22,1),(25,1),(51,1),(55,1),(56,1),(58,1)}
        38:{1,3,5}:{(23,1),(24,1),(58,1)}
        39:{2,3,4,6}:{(24,1),(25,1),(55,1),(58,1),(59,1),(107,1),(257,1),(261,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(177,1),(253,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(48,1),(61,1),(62,1),(307,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(61,1),(63,1),(101,1)}
        43:{3,4,6}:{(27,1),(28,1),(63,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(111,1),(117,1),(165,1),(176,1),(307,1),(310,1),(361,1),(368,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(66,1),(76,1),(124,1),(132,1),(226,1),(228,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(124,1),(300,1),(303,1)}
        48:{1,4,6,7}:{(31,1),(32,1),(41,1),(66,1),(70,1),(282,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(67,1),(70,1),(72,1),(135,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(36,1),(43,1),(68,1),(72,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(73,1),(74,1),(81,1),(132,1),(138,1)}
        52:{1,2,4,5,7}:{(34,1),(35,1),(70,1),(75,1),(132,1),(138,1),(207,1),(208,1),(227,1),(271,1),(280,1),(282,1),(288,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(75,1),(76,1),(298,1),(334,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(38,1),(75,1),(77,1),(78,1),(230,1),(274,1),(293,1)}
        55:{2,3,6}:{(36,1),(37,1),(73,1),(79,1)}
        56:{1,3,5,7}:{(37,1),(40,1),(74,1),(79,1),(80,1),(82,1)}
        57:{1,3,4,5}:{(38,1),(77,1),(81,1),(287,1),(303,1),(339,1)}
        58:{2,3,5}:{(38,1),(39,1),(81,1),(82,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(82,1),(83,1),(142,1),(219,1),(224,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(86,1),(132,1)}
        62:{3,4,6,7}:{(41,1),(43,1),(86,1),(334,1),(336,1)}
        63:{3,5,6}:{(42,1),(43,1),(86,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(89,1),(90,1),(202,1),(275,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(146,1),(152,1),(214,1),(282,1),(287,1),(300,1),(303,1),(382,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(48,1),(92,1),(93,1),(265,1)}
        67:{2,4,5,6}:{(46,1),(49,1),(92,1),(94,1),(101,1)}
        68:{3,4,6}:{(46,1),(47,1),(94,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(111,1),(122,1),(160,1),(176,1),(265,1),(268,1),(332,1),(368,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(98,1),(169,1)}
        71:{1,3,4,6,7}:{(48,1),(50,1),(53,1),(62,1),(93,1),(98,1),(99,1),(104,1)}
        72:{1,3,5,6}:{(49,1),(50,1),(63,1),(94,1),(98,1),(101,1)}
        73:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(56,1),(102,1),(112,1),(169,1),(177,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(104,1),(105,1),(264,1),(306,1),(322,1)}
        76:{2,3,6,7}:{(53,1),(55,1),(99,1),(105,1),(106,1),(311,1)}
        77:{1,3,4,6}:{(54,1),(57,1),(104,1),(107,1),(250,1),(267,1),(309,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(101,1),(105,1),(107,1),(108,1),(248,1),(257,1)}
        79:{1,3,6}:{(55,1),(56,1),(102,1),(109,1)}
        80:{1,2,5,7}:{(56,1),(60,1),(109,1),(113,1)}
        81:{2,4,5}:{(57,1),(58,1),(107,1),(112,1)}
        82:{1,3,5}:{(58,1),(59,1),(112,1),(113,1)}
        83:{1,2,4,6}:{(59,1),(60,1),(109,1),(113,1),(114,1),(186,1)}
        84:{1,2,3,7}:{(60,1),(114,1),(253,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,5,7}:{(61,1),(62,1),(63,1)}
        87:{2,3,4,6,7}:{(62,1),(64,1),(99,1),(117,1),(118,1),(176,1),(187,1),(237,1),(241,1),(307,1),(359,1),(364,1)}
        88:{3,4,5,6}:{(63,1),(116,1),(119,1),(309,1),(386,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(101,1),(117,1),(119,1),(120,1),(386,1),(388,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(120,1),(121,1),(174,1),(250,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(184,1),(190,1),(252,1),(265,1),(268,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(132,1)}
        93:{3,4,6,7}:{(66,1),(68,1),(124,1),(298,1),(300,1)}
        94:{3,5,6}:{(67,1),(68,1),(124,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(127,1),(128,1),(156,1),(231,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(146,1),(198,1),(214,1),(282,1),(287,1),(336,1),(339,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,5,7}:{(70,1),(71,1),(72,1),(86,1),(124,1),(132,1)}
        99:{2,4,6,7}:{(71,1),(73,1),(76,1),(132,1),(133,1),(138,1)}
       100:{1,3,4,5,6}:{(72,1),(77,1),(88,1),(126,1),(131,1),(134,1),(154,1),(200,1),(210,1),(230,1),(274,1),(286,1),(381,1)}
       101:{2,5,6}:{(72,1),(73,1),(132,1),(135,1)}
       102:{1,4,6}:{(73,1),(74,1),(79,1),(135,1)}
       103:{1,2,4,5,7}:{(74,1),(80,1),(91,1),(129,1),(136,1),(137,1),(145,1),(147,1),(208,1),(215,1),(221,1),(222,1),(282,1),(287,1),(288,1),(382,1),(384,1)}
       104:{1,3,4,7}:{(75,1),(77,1),(138,1),(282,1),(300,1),(336,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(78,1),(132,1),(138,1),(139,1),(280,1),(289,1)}
       106:{1,3,6,7}:{(76,1),(79,1),(133,1),(139,1),(140,1)}
       107:{2,4,6}:{(77,1),(78,1),(81,1),(138,1),(142,1)}
       108:{1,3,5,6}:{(78,1),(79,1),(82,1),(135,1),(139,1),(142,1),(143,1),(219,1)}
       109:{1,2,6}:{(79,1),(80,1)}
       110:{1,2,3,5,7}:{(80,1),(84,1),(137,1),(144,1),(145,1),(148,1),(221,1),(296,1),(350,1),(384,1)}
       111:{2,3,4,5}:{(81,1),(141,1),(146,1),(223,1),(303,1),(339,1),(349,1)}
       112:{1,4,5}:{(81,1),(82,1),(142,1)}
       113:{1,2,5}:{(82,1),(83,1)}
       114:{1,2,3,6}:{(83,1),(84,1),(148,1),(219,1)}
       115:{3,5,6,7}:{(85,1),(86,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(88,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(89,1),(132,1),(151,1),(152,1),(376,1),(380,1)}
       118:{1,3,4,6,7}:{(87,1),(90,1),(133,1),(152,1),(153,1),(209,1),(214,1),(225,1),(277,1),(282,1),(298,1),(300,1),(379,1)}
       119:{2,4,5,6}:{(88,1),(89,1),(151,1),(154,1),(275,1)}
       120:{1,3,5,6}:{(89,1),(90,1),(135,1),(152,1),(154,1),(155,1),(230,1),(391,1)}
       121:{2,4,6}:{(90,1),(91,1),(155,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(223,1),(232,1),(289,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,5,7}:{(92,1),(93,1),(94,1)}
       125:{2,3,4,6,7}:{(93,1),(95,1),(99,1),(160,1),(161,1),(176,1),(191,1),(233,1),(241,1),(265,1),(330,1),(364,1)}
       126:{3,4,5,6}:{(94,1),(159,1),(162,1),(267,1),(375,1)}
       127:{2,3,5,6}:{(94,1),(95,1),(101,1),(160,1),(162,1),(163,1),(375,1),(388,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(163,1),(164,1),(174,1),(250,1),(309,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(184,1),(236,1),(252,1),(307,1),(310,1)}
       130:{1,3,5,6,7}:{(97,1),(98,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(100,1),(104,1),(116,1),(159,1),(166,1),(168,1),(189,1),(235,1),(244,1),(264,1),(306,1),(316,1),(365,1)}
       132:{2,5,7}:{(98,1),(99,1),(101,1),(169,1)}
       133:{1,4,6,7}:{(99,1),(102,1),(106,1),(169,1),(177,1)}
       134:{2,4,5,6}:{(100,1),(101,1),(107,1),(168,1),(171,1),(172,1),(248,1),(320,1),(388,1)}
       135:{1,5,6}:{(101,1),(102,1),(169,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(109,1),(121,1),(164,1),(173,1),(174,1),(250,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(185,1),(251,1),(253,1),(260,1),(322,1)}
       138:{2,4,7}:{(104,1),(105,1),(107,1),(177,1)}
       139:{1,3,5,7}:{(105,1),(106,1),(108,1),(169,1),(177,1),(178,1),(253,1)}
       140:{1,2,6,7}:{(106,1),(109,1),(178,1),(311,1)}
       141:{2,3,4,6}:{(107,1),(111,1),(171,1),(176,1),(180,1),(257,1),(267,1),(309,1),(320,1)}
       142:{1,4,6}:{(107,1),(108,1),(112,1),(177,1)}
       143:{1,2,5,6}:{(108,1),(109,1),(113,1),(178,1),(181,1),(248,1)}
       144:{1,2,3,6}:{(109,1),(110,1),(174,1),(183,1),(390,1)}
       145:{1,2,4,7}:{(110,1),(175,1),(183,1),(186,1),(329,1)}
       146:{1,3,4,5}:{(111,1),(112,1),(180,1),(184,1),(185,1),(260,1),(370,1)}
       147:{1,2,4,5}:{(112,1),(113,1),(181,1),(184,1),(185,1),(186,1)}
       148:{1,2,3,5}:{(113,1),(114,1),(185,1),(186,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(117,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(119,1),(187,1),(189,1),(307,1)}
       152:{1,3,5,7}:{(117,1),(118,1),(120,1),(169,1),(189,1),(190,1),(264,1),(387,1)}
       153:{2,4,6,7}:{(118,1),(121,1),(190,1),(191,1),(252,1),(265,1),(311,1)}
       154:{1,4,5,6}:{(119,1),(120,1),(189,1),(192,1),(250,1)}
       155:{2,5,6}:{(120,1),(121,1),(190,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(261,1),(265,1)}
       158:{3,5,6,7}:{(123,1),(124,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(126,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,3,5,7}:{(124,1),(125,1),(127,1),(132,1),(197,1),(198,1),(356,1),(380,1)}
       161:{1,3,4,6,7}:{(125,1),(128,1),(133,1),(198,1),(199,1),(209,1),(214,1),(269,1),(277,1),(282,1),(334,1),(336,1),(379,1)}
       162:{2,4,5,6}:{(126,1),(127,1),(197,1),(200,1),(231,1)}
       163:{1,3,5,6}:{(127,1),(128,1),(135,1),(198,1),(200,1),(201,1),(274,1),(391,1)}
       164:{2,4,6}:{(128,1),(129,1),(201,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(223,1),(276,1),(289,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(132,1),(204,1),(205,1),(380,1)}
       168:{2,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(204,1),(206,1),(207,1),(280,1),(345,1),(380,1)}
       169:{1,5,7}:{(132,1),(133,1),(135,1)}
       170:{1,2,4,6,7}:{(133,1),(136,1),(140,1),(153,1),(199,1),(208,1),(209,1),(215,1),(282,1),(288,1),(340,1),(379,1)}
       171:{2,3,5,6}:{(134,1),(141,1),(206,1),(210,1),(230,1),(274,1)}
       172:{1,4,5,6}:{(134,1),(135,1),(142,1),(207,1),(210,1),(348,1),(391,1)}
       173:{1,2,5,6}:{(135,1),(136,1),(155,1),(201,1),(208,1),(212,1),(221,1),(391,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(145,1),(157,1),(203,1),(213,1),(224,1),(282,1),(297,1)}
       176:{2,3,4,7}:{(138,1),(141,1),(206,1),(214,1),(289,1),(300,1),(336,1),(345,1)}
       177:{1,4,7}:{(138,1),(139,1),(142,1)}
       178:{1,2,5,7}:{(139,1),(140,1),(143,1),(215,1),(280,1)}
       179:{1,2,3,6,7}:{(140,1),(144,1),(209,1),(216,1),(217,1),(341,1),(350,1),(353,1)}
       180:{1,3,4,6}:{(141,1),(142,1),(146,1),(210,1),(214,1),(218,1),(219,1),(293,1),(348,1)}
       181:{1,2,4,6}:{(142,1),(143,1),(147,1),(215,1),(218,1),(219,1)}
       182:{1,2,3,5,6}:{(143,1),(144,1),(148,1),(212,1),(216,1),(219,1),(220,1),(221,1),(285,1),(292,1),(295,1),(353,1)}
       183:{1,2,4,6}:{(144,1),(145,1),(213,1),(221,1)}
       184:{2,4,5}:{(146,1),(218,1),(223,1)}
       185:{1,3,5}:{(147,1),(219,1),(223,1),(224,1)}
       186:{1,2,4}:{(148,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(152,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(225,1),(227,1),(282,1)}
       190:{2,5,7}:{(152,1),(153,1),(155,1)}
       191:{2,3,6,7}:{(153,1),(156,1),(209,1),(228,1),(289,1),(298,1)}
       192:{2,4,5,6}:{(154,1),(155,1),(227,1),(230,1),(231,1)}
       193:{2,3,5,6}:{(155,1),(156,1),(212,1),(228,1),(230,1),(231,1),(232,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(231,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(160,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(233,1),(235,1),(265,1)}
       198:{1,3,5,7}:{(160,1),(161,1),(163,1),(169,1),(235,1),(236,1),(306,1),(387,1)}
       199:{2,4,6,7}:{(161,1),(164,1),(236,1),(237,1),(252,1),(307,1),(311,1)}
       200:{1,4,5,6}:{(162,1),(163,1),(235,1),(238,1),(250,1)}
       201:{2,5,6}:{(163,1),(164,1),(236,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(261,1),(307,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(168,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(169,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(171,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,4,5,7}:{(168,1),(169,1),(172,1),(177,1),(242,1),(244,1),(367,1),(387,1)}
       208:{1,2,5,7}:{(169,1),(170,1),(173,1),(190,1),(236,1),(246,1),(387,1)}
       209:{1,3,6,7}:{(170,1),(174,1),(191,1),(237,1),(246,1),(253,1),(322,1)}
       210:{1,3,5,6}:{(171,1),(172,1),(180,1),(244,1),(248,1)}
       211:{1,2,4,5,6}:{(172,1),(173,1),(181,1),(192,1),(238,1),(245,1),(248,1),(249,1),(250,1),(259,1),(320,1),(325,1),(366,1),(388,1)}
       212:{1,3,5,6}:{(173,1),(174,1),(193,1),(239,1),(246,1),(250,1),(251,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(183,1),(194,1),(240,1),(250,1),(251,1)}
       214:{1,3,4,7}:{(176,1),(177,1),(180,1),(244,1),(252,1),(253,1),(322,1),(367,1)}
       215:{1,2,4,7}:{(177,1),(178,1),(181,1),(252,1),(253,1)}
       216:{1,2,3,5,7}:{(178,1),(179,1),(182,1),(246,1),(253,1),(254,1),(255,1),(315,1),(324,1)}
       217:{1,2,4,6,7}:{(179,1),(183,1),(247,1),(254,1),(255,1),(325,1),(364,1),(371,1),(390,1)}
       218:{2,4,6}:{(180,1),(184,1),(248,1),(252,1),(257,1)}
       219:{1,3,6}:{(181,1),(185,1),(253,1),(257,1)}
       220:{1,2,4,6}:{(182,1),(186,1),(250,1),(254,1),(258,1),(259,1),(320,1)}
       221:{1,2,5}:{(183,1),(251,1)}
       222:{1,2,4,5}:{(184,1),(256,1),(260,1),(329,1),(370,1),(374,1)}
       223:{2,3,5}:{(184,1),(185,1),(257,1),(260,1),(261,1)}
       224:{1,3,4}:{(185,1),(186,1),(261,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(190,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(192,1),(262,1),(264,1),(265,1)}
       228:{2,3,5,7}:{(190,1),(191,1),(193,1),(246,1),(264,1),(265,1)}
       229:{2,3,4,6,7}:{(191,1),(194,1),(247,1),(265,1),(266,1),(323,1),(330,1),(333,1),(364,1),(373,1)}
       230:{3,5,6}:{(192,1),(264,1),(267,1)}
       231:{2,4,6}:{(193,1),(250,1),(265,1),(267,1),(268,1)}
       232:{2,3,5}:{(194,1),(251,1),(268,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(198,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(269,1),(271,1),(282,1)}
       236:{2,5,7}:{(198,1),(199,1),(201,1)}
       237:{2,3,6,7}:{(199,1),(202,1),(209,1),(272,1),(289,1),(334,1)}
       238:{2,4,5,6}:{(200,1),(201,1),(271,1),(274,1),(275,1)}
       239:{2,3,5,6}:{(201,1),(202,1),(212,1),(272,1),(274,1),(275,1),(276,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(275,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(207,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(208,1),(226,1),(270,1),(278,1),(279,1),(292,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(210,1),(214,1),(277,1),(280,1)}
       245:{1,2,4,5,7}:{(207,1),(208,1),(211,1),(215,1),(227,1),(271,1),(278,1),(280,1),(281,1),(282,1),(343,1),(345,1),(380,1)}
       246:{1,3,5,7}:{(208,1),(209,1),(212,1),(228,1),(272,1),(282,1)}
       247:{1,3,4,6,7}:{(209,1),(213,1),(217,1),(229,1),(273,1),(282,1),(283,1),(290,1),(347,1),(351,1),(353,1),(379,1),(385,1)}
       248:{2,5,6}:{(210,1),(218,1),(280,1)}
       249:{1,3,5,6}:{(211,1),(219,1),(230,1),(274,1),(281,1),(285,1),(286,1),(295,1),(353,1)}
       250:{1,4,6}:{(212,1),(231,1),(275,1),(282,1),(287,1)}
       251:{1,3,5}:{(213,1),(221,1),(232,1),(276,1),(287,1)}
       252:{2,4,7}:{(214,1),(218,1),(280,1),(289,1)}
       253:{1,3,7}:{(215,1),(219,1),(289,1)}
       254:{1,2,4,7}:{(216,1),(220,1),(282,1),(290,1),(345,1)}
       255:{1,2,5,7}:{(217,1),(221,1),(283,1),(292,1),(380,1)}
       256:{1,2,4,6}:{(218,1),(222,1),(284,1),(288,1),(293,1),(348,1)}
       257:{2,3,6}:{(218,1),(219,1),(223,1),(289,1),(293,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(224,1),(290,1),(294,1),(295,1),(353,1)}
       259:{1,2,4,5}:{(220,1),(221,1),(287,1),(295,1),(349,1)}
       260:{1,3,5}:{(222,1),(223,1),(293,1),(297,1)}
       261:{2,3,4}:{(223,1),(224,1),(297,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(228,1),(279,1),(298,1),(299,1),(302,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(230,1),(298,1),(300,1)}
       265:{2,4,7}:{(228,1),(231,1),(282,1),(300,1)}
       266:{2,3,5,7}:{(229,1),(232,1),(283,1),(301,1),(302,1),(356,1),(380,1)}
       267:{3,4,6}:{(230,1),(231,1),(300,1),(303,1)}
       268:{2,4,5}:{(231,1),(232,1),(287,1),(303,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(236,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(238,1),(304,1),(306,1),(307,1)}
       272:{2,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(306,1),(307,1)}
       273:{2,3,4,6,7}:{(237,1),(240,1),(247,1),(307,1),(308,1),(323,1),(359,1),(362,1),(364,1),(373,1)}
       274:{3,5,6}:{(238,1),(306,1),(309,1)}
       275:{2,4,6}:{(239,1),(250,1),(307,1),(309,1),(310,1)}
       276:{2,3,5}:{(240,1),(251,1),(310,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(245,1),(262,1),(304,1),(311,1),(312,1),(313,1),(325,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(246,1),(263,1),(305,1),(312,1),(313,1),(318,1),(363,1),(365,1),(387,1)}
       280:{2,5,7}:{(244,1),(248,1),(252,1),(311,1)}
       281:{1,3,5,7}:{(245,1),(249,1),(253,1),(264,1),(306,1),(312,1),(315,1),(316,1)}
       282:{1,4,7}:{(246,1),(250,1),(265,1),(307,1)}
       283:{1,3,5,7}:{(247,1),(251,1),(255,1),(266,1),(308,1),(317,1),(318,1),(387,1)}
       284:{1,2,5,6}:{(248,1),(256,1),(314,1),(319,1),(374,1),(390,1)}
       285:{2,3,5,6}:{(248,1),(249,1),(257,1),(315,1),(319,1),(320,1),(328,1),(373,1),(388,1)}
       286:{1,3,4,6}:{(249,1),(250,1),(267,1),(309,1),(316,1),(320,1),(321,1)}
       287:{1,4,5}:{(250,1),(251,1),(268,1),(310,1)}
       288:{1,2,4,7}:{(252,1),(256,1),(314,1),(322,1),(367,1)}
       289:{2,3,7}:{(252,1),(253,1),(257,1),(322,1)}
       290:{1,3,4,7}:{(253,1),(254,1),(258,1),(323,1),(324,1)}
       291:{1,2,4,5,7}:{(254,1),(255,1),(259,1),(317,1),(324,1),(325,1),(368,1)}
       292:{1,2,5,6}:{(255,1),(318,1),(325,1),(388,1),(390,1)}
       293:{1,3,6}:{(256,1),(257,1),(260,1),(322,1)}
       294:{2,3,4,6}:{(257,1),(258,1),(261,1),(320,1),(323,1),(327,1),(328,1),(373,1)}
       295:{1,3,5}:{(258,1),(259,1),(328,1)}
       296:{1,2,3,5}:{(260,1),(326,1),(329,1),(374,1)}
       297:{1,3,4}:{(260,1),(261,1),(329,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(265,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(267,1)}
       301:{2,4,5,7}:{(265,1),(266,1),(268,1),(317,1),(332,1),(333,1)}
       302:{2,3,5,6}:{(266,1),(318,1),(333,1),(373,1),(375,1),(388,1)}
       303:{3,4,5}:{(267,1),(268,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(272,1),(279,1),(334,1),(335,1),(338,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(274,1),(334,1),(336,1)}
       307:{2,4,7}:{(272,1),(275,1),(282,1),(336,1)}
       308:{2,3,5,7}:{(273,1),(276,1),(283,1),(337,1),(338,1),(376,1),(380,1)}
       309:{3,4,6}:{(274,1),(275,1),(336,1),(339,1)}
       310:{2,4,5}:{(275,1),(276,1),(287,1),(339,1)}
       311:{2,6,7}:{(277,1),(280,1)}
       312:{1,3,6,7}:{(278,1),(281,1),(298,1),(334,1),(341,1),(353,1)}
       313:{1,4,6,7}:{(279,1),(282,1),(299,1),(335,1),(343,1),(347,1)}
       314:{1,2,5,7}:{(280,1),(284,1),(288,1),(340,1),(344,1)}
       315:{2,3,5,7}:{(280,1),(281,1),(285,1),(289,1),(341,1),(344,1),(345,1),(380,1)}
       316:{1,3,4,7}:{(281,1),(282,1),(286,1),(300,1),(336,1),(345,1)}
       317:{1,4,5,7}:{(282,1),(283,1),(287,1),(301,1),(337,1),(347,1)}
       318:{1,3,5,6}:{(283,1),(292,1),(302,1),(338,1),(347,1),(353,1),(385,1),(391,1)}
       319:{1,3,5,6}:{(284,1),(285,1),(293,1),(344,1),(348,1),(355,1),(385,1),(391,1)}
       320:{2,4,6}:{(285,1),(286,1),(345,1),(348,1),(349,1)}
       321:{1,3,4,5}:{(286,1),(287,1),(295,1),(303,1),(339,1),(349,1)}
       322:{1,3,7}:{(288,1),(289,1),(293,1)}
       323:{2,3,4,7}:{(289,1),(290,1),(294,1),(345,1),(351,1),(352,1)}
       324:{1,3,5,7}:{(290,1),(291,1),(295,1),(352,1),(353,1)}
       325:{1,2,4,6}:{(291,1),(292,1),(347,1),(353,1),(383,1)}
       326:{1,2,3,6}:{(293,1),(296,1),(350,1),(354,1)}
       327:{1,3,4,6}:{(293,1),(294,1),(297,1),(348,1),(351,1),(354,1),(355,1),(385,1)}
       328:{2,3,5}:{(294,1),(295,1),(349,1),(355,1)}
       329:{1,2,4}:{(296,1),(297,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(303,1),(356,1),(358,1)}
       333:{2,4,6}:{(301,1),(302,1),(347,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(307,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(309,1)}
       337:{2,4,5,7}:{(307,1),(308,1),(310,1),(317,1),(361,1),(362,1)}
       338:{2,3,5,6}:{(308,1),(318,1),(362,1),(373,1),(386,1),(388,1)}
       339:{3,4,5}:{(309,1),(310,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(315,1),(363,1),(364,1),(373,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(316,1),(330,1),(359,1),(364,1),(365,1),(369,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(319,1),(322,1),(363,1),(367,1),(387,1)}
       345:{2,4,7}:{(315,1),(316,1),(320,1),(367,1)}
       346:{1,3,4,5,7}:{(316,1),(317,1),(321,1),(324,1),(332,1),(361,1),(365,1),(368,1),(369,1)}
       347:{1,4,6}:{(317,1),(318,1),(333,1),(362,1)}
       348:{1,4,6}:{(319,1),(320,1),(367,1),(370,1)}
       349:{2,4,5}:{(320,1),(321,1),(328,1),(370,1)}
       350:{1,2,3,7}:{(322,1),(326,1),(371,1)}
       351:{1,3,4,7}:{(322,1),(323,1),(327,1),(367,1),(371,1),(372,1)}
       352:{2,3,5,7}:{(323,1),(324,1),(328,1),(368,1),(372,1),(373,1)}
       353:{1,3,6}:{(324,1),(325,1),(373,1)}
       354:{1,2,4,6}:{(326,1),(327,1),(329,1),(371,1),(374,1),(390,1)}
       355:{1,3,5}:{(327,1),(328,1),(370,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(339,1),(376,1),(378,1)}
       362:{2,4,6}:{(337,1),(338,1),(347,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(345,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(347,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(348,1)}
       368:{2,4,5,7}:{(345,1),(346,1),(349,1),(352,1),(380,1),(382,1),(383,1)}
       369:{1,3,4,6}:{(346,1),(347,1),(353,1),(358,1),(378,1),(381,1),(383,1)}
       370:{1,4,5}:{(348,1),(349,1),(355,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(354,1),(384,1)}
       372:{1,3,5,7}:{(351,1),(352,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(352,1),(353,1),(383,1),(385,1)}
       374:{1,2,5}:{(354,1),(355,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(369,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(370,1),(372,1),(387,1),(389,1)}
       383:{2,4,6}:{(368,1),(369,1),(373,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(374,1),(390,1)}
       385:{1,3,6}:{(372,1),(373,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1558 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(8,1),(27,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(70,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(67,1),(110,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(33,1),(34,1),(69,1)}
         5:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1),(13,1),(14,1),(41,1),(42,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(12,1),(16,1),(126,1)}
         8:{1,2,5}:{(3,1),(13,1)}
         9:{2,3,4,7}:{(4,1),(12,1),(19,1),(54,1),(92,1)}
        10:{2,3,5}:{(4,1),(13,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(58,1),(59,1),(69,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(9,1),(21,1),(24,1),(65,1),(70,1),(111,1)}
        13:{1,3,5}:{(5,1),(8,1),(10,1),(22,1),(23,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(24,1),(29,1)}
        17:{1,2,5,6}:{(8,1),(25,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        18:{2,4,5}:{(10,1),(23,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(24,1),(32,1),(34,1)}
        20:{2,3,5,6}:{(10,1),(25,1),(33,1),(34,1),(35,1),(69,1),(71,1),(75,1),(104,1)}
        21:{2,3,4,7}:{(11,1),(12,1),(37,1),(81,1),(92,1)}
        22:{2,3,5}:{(11,1),(13,1),(36,1)}
        23:{1,4,5}:{(13,1),(18,1),(36,1),(41,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(16,1),(19,1),(37,1),(40,1),(42,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(20,1),(38,1),(41,1),(42,1),(43,1),(47,1),(88,1),(91,1),(121,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(17,1),(41,1),(47,1),(48,1),(86,1)}
        29:{1,2,6}:{(16,1),(42,1)}
        30:{1,2,5,7}:{(17,1),(43,1),(48,1),(49,1),(122,1),(126,1)}
        31:{3,4,5}:{(18,1),(52,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(40,1),(51,1),(53,1),(54,1),(97,1)}
        33:{2,4,6}:{(18,1),(20,1),(41,1),(52,1),(54,1)}
        34:{2,3,6}:{(19,1),(42,1),(53,1)}
        35:{2,3,5,7}:{(20,1),(43,1),(54,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        36:{2,4,5}:{(22,1),(23,1),(56,1),(58,1)}
        37:{2,3,5,7}:{(21,1),(22,1),(24,1),(57,1),(59,1)}
        38:{2,3,5,6}:{(22,1),(25,1),(58,1),(59,1),(60,1),(69,1),(98,1),(102,1),(104,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,5,7}:{(23,1),(24,1),(32,1),(57,1),(64,1),(65,1),(109,1)}
        41:{1,4,6}:{(23,1),(25,1),(33,1),(58,1),(65,1)}
        42:{1,3,6}:{(24,1),(29,1),(34,1),(59,1),(64,1)}
        43:{1,3,5,7}:{(25,1),(30,1),(35,1),(60,1),(65,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(30,1),(65,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(33,1),(61,1),(71,1),(72,1),(75,1),(104,1),(114,1)}
        51:{3,4,5,7}:{(31,1),(32,1),(73,1),(74,1),(115,1)}
        52:{3,4,6}:{(31,1),(33,1),(71,1),(74,1)}
        53:{2,4,6}:{(32,1),(34,1),(64,1),(73,1),(75,1)}
        54:{2,4,7}:{(33,1),(35,1),(65,1),(74,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(76,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(79,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(40,1),(78,1),(80,1),(81,1),(120,1)}
        58:{2,4,6}:{(36,1),(38,1),(41,1),(79,1),(81,1)}
        59:{2,3,6}:{(37,1),(42,1),(80,1)}
        60:{2,3,5,7}:{(38,1),(43,1),(81,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        61:{1,4,5,6}:{(41,1),(50,1),(77,1),(83,1),(84,1),(88,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(41,1),(47,1),(52,1),(79,1),(83,1),(86,1),(87,1)}
        64:{1,4,6}:{(40,1),(42,1),(53,1),(80,1),(88,1)}
        65:{1,4,7}:{(41,1),(43,1),(54,1),(81,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(89,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(52,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(54,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,6}:{(51,1),(53,1),(95,1)}
        74:{3,4,7}:{(52,1),(54,1),(93,1)}
        75:{2,5,6}:{(53,1),(88,1),(95,1),(97,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(55,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(58,1),(61,1),(98,1),(99,1),(102,1),(104,1),(131,1)}
        78:{3,4,5,7}:{(56,1),(57,1),(100,1),(101,1),(132,1)}
        79:{3,4,6}:{(56,1),(58,1),(98,1),(101,1)}
        80:{2,4,6}:{(57,1),(59,1),(64,1),(100,1),(102,1)}
        81:{2,4,7}:{(58,1),(60,1),(65,1),(101,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(103,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(65,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(65,1),(70,1),(74,1),(101,1),(105,1),(108,1)}
        88:{1,5,6}:{(64,1),(75,1),(102,1),(109,1)}
        89:{1,4,6,7}:{(64,1),(65,1),(66,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(74,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,5,6}:{(73,1),(75,1),(114,1),(115,1)}
        96:{3,4,6,7}:{(73,1),(74,1),(76,1),(112,1),(115,1),(135,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(115,1)}
        98:{3,5,6}:{(77,1),(79,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(81,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,6}:{(78,1),(80,1),(118,1)}
       101:{3,4,7}:{(79,1),(81,1),(116,1)}
       102:{2,5,6}:{(80,1),(88,1),(118,1),(120,1)}
       103:{2,4,6,7}:{(80,1),(81,1),(82,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{4,5,6}:{(95,1),(128,1)}
       115:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(101,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,5,6}:{(100,1),(102,1),(131,1),(132,1)}
       119:{3,4,6,7}:{(100,1),(101,1),(103,1),(129,1),(132,1),(139,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(115,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{4,5,6}:{(118,1),(137,1)}
       132:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(132,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1559 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(60,1),(63,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(81,1),(85,1),(123,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(41,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(82,1),(122,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(11,1),(17,1),(18,1),(40,1),(48,1),(84,1)}
         9:{2,3,5,7}:{(3,1),(12,1),(16,1),(17,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(97,1),(106,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(8,1),(19,1),(22,1),(23,1),(24,1),(58,1),(61,1),(63,1),(105,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(9,1),(20,1),(21,1),(22,1),(23,1)}
        13:{1,2,4}:{(5,1),(24,1)}
        14:{1,2,5}:{(6,1),(22,1)}
        15:{1,2,6}:{(7,1),(23,1)}
        16:{2,4,5,7}:{(9,1),(21,1),(28,1),(29,1),(30,1),(68,1),(70,1)}
        17:{2,3,5}:{(8,1),(22,1),(30,1)}
        18:{2,3,6}:{(9,1),(23,1),(29,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(34,1),(35,1),(40,1),(75,1),(84,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(33,1),(34,1),(35,1)}
        21:{1,4,5,7}:{(12,1),(16,1),(33,1),(36,1),(37,1),(78,1),(81,1)}
        22:{1,3,5}:{(11,1),(14,1),(17,1),(34,1),(37,1)}
        23:{1,3,6}:{(12,1),(15,1),(18,1),(35,1),(36,1)}
        24:{1,3,4}:{(13,1),(40,1),(41,1)}
        25:{1,2,4,5}:{(13,1),(14,1),(37,1),(41,1),(42,1),(79,1)}
        26:{1,2,5,6}:{(14,1),(15,1),(38,1),(42,1),(43,1),(118,1),(122,1)}
        27:{1,2,6,7}:{(15,1),(39,1),(43,1),(137,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(47,1),(87,1),(91,1)}
        29:{2,4,6}:{(16,1),(18,1),(36,1),(44,1),(45,1)}
        30:{2,4,5}:{(17,1),(37,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(45,1),(48,1),(49,1),(84,1),(89,1),(118,1)}
        32:{2,3,6,7}:{(18,1),(39,1),(46,1),(49,1),(125,1),(137,1)}
        33:{2,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(52,1),(95,1),(97,1)}
        34:{2,3,5}:{(19,1),(22,1),(52,1)}
        35:{2,3,6}:{(20,1),(23,1),(51,1)}
        36:{1,4,6}:{(21,1),(23,1),(29,1),(51,1),(55,1)}
        37:{1,4,5}:{(22,1),(30,1),(52,1),(58,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(26,1),(31,1),(53,1),(55,1),(58,1),(59,1),(63,1),(105,1),(131,1)}
        39:{1,3,6,7}:{(23,1),(27,1),(32,1),(54,1),(56,1),(59,1),(139,1)}
        40:{2,3,4}:{(24,1),(61,1),(62,1)}
        41:{1,3,5}:{(24,1),(25,1),(62,1),(63,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(58,1),(63,1),(64,1),(102,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(59,1),(64,1),(132,1),(134,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,5,6}:{(29,1),(55,1),(65,1),(68,1)}
        46:{2,4,6,7}:{(29,1),(32,1),(56,1),(66,1),(68,1),(70,1)}
        47:{3,4,5}:{(30,1),(69,1)}
        48:{2,4,6}:{(30,1),(31,1),(58,1),(69,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(59,1),(68,1),(70,1),(106,1),(110,1),(132,1)}
        50:{3,4,5,7}:{(33,1),(71,1),(74,1),(112,1),(116,1)}
        51:{2,4,6}:{(33,1),(35,1),(36,1),(71,1),(72,1)}
        52:{2,4,5}:{(34,1),(37,1),(74,1),(75,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(75,1),(76,1),(84,1),(114,1),(118,1)}
        54:{2,3,6,7}:{(35,1),(39,1),(73,1),(76,1),(136,1),(137,1)}
        55:{1,5,6}:{(36,1),(45,1),(72,1),(78,1)}
        56:{1,4,6,7}:{(36,1),(39,1),(46,1),(73,1),(78,1),(81,1)}
        57:{1,3,4,5}:{(37,1),(41,1),(47,1),(74,1),(79,1),(80,1)}
        58:{1,4,6}:{(37,1),(38,1),(48,1),(75,1),(81,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(43,1),(49,1),(76,1),(78,1),(81,1),(85,1),(123,1),(138,1)}
        60:{1,2,3}:{(82,1)}
        61:{1,3,4}:{(40,1),(82,1),(83,1)}
        62:{2,3,5}:{(40,1),(41,1),(79,1),(83,1),(84,1)}
        63:{1,3,6}:{(41,1),(42,1),(84,1),(85,1)}
        64:{1,2,4,7}:{(42,1),(43,1),(81,1),(85,1),(121,1)}
        65:{3,5,6}:{(44,1),(45,1),(86,1),(87,1)}
        66:{3,4,6,7}:{(44,1),(46,1),(87,1),(91,1),(124,1),(125,1)}
        67:{2,4,5,6}:{(45,1),(48,1),(77,1),(86,1),(89,1),(90,1),(118,1)}
        68:{2,5,7}:{(45,1),(46,1),(78,1),(87,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(91,1)}
        70:{2,4,7}:{(48,1),(49,1),(81,1),(91,1)}
        71:{3,4,6}:{(50,1),(51,1),(92,1)}
        72:{2,5,6}:{(51,1),(55,1),(92,1),(95,1)}
        73:{2,4,6,7}:{(51,1),(54,1),(56,1),(93,1),(95,1),(97,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(53,1),(54,1),(59,1),(95,1),(97,1),(106,1),(129,1),(132,1)}
        77:{1,4,5,6}:{(55,1),(58,1),(67,1),(94,1),(99,1),(100,1),(131,1)}
        78:{1,5,7}:{(55,1),(56,1),(68,1),(95,1)}
        79:{2,4,5}:{(57,1),(62,1),(101,1),(102,1)}
        80:{1,3,4,6}:{(57,1),(58,1),(63,1),(69,1),(96,1),(99,1),(102,1),(103,1)}
        81:{1,4,7}:{(58,1),(59,1),(70,1),(97,1)}
        82:{1,2,4}:{(60,1),(61,1),(104,1)}
        83:{1,3,5}:{(61,1),(62,1),(101,1),(104,1),(105,1)}
        84:{2,3,6}:{(62,1),(63,1),(102,1),(105,1),(106,1)}
        85:{1,3,7}:{(63,1),(64,1),(106,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{3,5,7}:{(65,1),(66,1),(68,1),(108,1)}
        88:{2,5,6,7}:{(68,1),(98,1),(107,1),(109,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{2,4,5,7}:{(67,1),(68,1),(70,1),(100,1),(108,1),(109,1),(110,1),(132,1)}
        91:{3,4,7}:{(69,1),(70,1),(110,1)}
        92:{3,5,6}:{(71,1),(72,1),(111,1),(112,1)}
        93:{3,4,6,7}:{(71,1),(73,1),(112,1),(116,1),(135,1),(136,1)}
        94:{2,4,5,6}:{(72,1),(75,1),(77,1),(111,1),(114,1),(115,1),(118,1)}
        95:{2,5,7}:{(72,1),(73,1),(78,1),(112,1)}
        96:{3,4,6}:{(74,1),(75,1),(114,1),(116,1)}
        97:{2,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        98:{1,5,6,7}:{(78,1),(88,1),(113,1),(117,1)}
        99:{1,3,5,6}:{(77,1),(80,1),(89,1),(114,1),(118,1),(119,1)}
       100:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(115,1),(117,1),(119,1),(138,1)}
       101:{1,4,5}:{(79,1),(83,1),(120,1)}
       102:{2,4,6}:{(79,1),(80,1),(84,1),(118,1),(120,1),(121,1)}
       103:{1,3,4,7}:{(80,1),(81,1),(85,1),(91,1),(116,1),(119,1),(121,1)}
       104:{1,2,5}:{(82,1),(83,1),(122,1)}
       105:{1,3,6}:{(83,1),(84,1),(120,1),(122,1),(123,1)}
       106:{2,3,7}:{(84,1),(85,1),(121,1),(123,1)}
       107:{3,5,6,7}:{(87,1),(88,1),(124,1),(125,1)}
       108:{4,5,7}:{(86,1),(87,1),(124,1)}
       109:{2,4,6,7}:{(88,1),(90,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(89,1),(90,1),(91,1),(125,1)}
       111:{4,5,6}:{(92,1),(127,1)}
       112:{3,5,7}:{(92,1),(93,1),(95,1),(127,1)}
       113:{2,5,6,7}:{(95,1),(98,1),(126,1),(128,1)}
       114:{3,5,6}:{(94,1),(96,1),(129,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(97,1),(100,1),(127,1),(128,1),(129,1),(132,1)}
       116:{3,4,7}:{(96,1),(97,1),(129,1)}
       117:{1,4,6,7}:{(98,1),(100,1),(109,1),(128,1),(130,1),(139,1)}
       118:{2,5,6}:{(99,1),(102,1),(131,1),(132,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(103,1),(110,1),(129,1),(130,1),(132,1)}
       120:{1,4,6}:{(101,1),(102,1),(105,1),(131,1),(133,1)}
       121:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1)}
       122:{1,2,6}:{(104,1),(105,1),(134,1)}
       123:{1,3,7}:{(105,1),(106,1),(133,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(112,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(115,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(119,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(118,1),(120,1),(138,1)}
       132:{2,5,7}:{(118,1),(119,1),(121,1),(137,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(123,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1560 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1561 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1562 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1563 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1564 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1565 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1566 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(46,1),(121,1),(157,1)}
         6:{1,2,3,7}:{(1,1),(14,1),(44,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(13,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(21,1),(24,1),(25,1),(26,1),(63,1),(66,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(168,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(27,1),(29,1),(56,1),(63,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(33,1),(74,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(77,1)}
        19:{1,2,3,7}:{(8,1),(34,1),(124,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(81,1),(84,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(41,1)}
        25:{1,3,4,7}:{(11,1),(14,1),(38,1),(43,1),(44,1),(87,1),(158,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,6}:{(13,1),(15,1),(42,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(43,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(45,1),(79,1),(87,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(48,1),(49,1),(50,1),(51,1),(93,1),(96,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,5}:{(18,1),(48,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,5}:{(21,1),(24,1),(48,1),(57,1)}
        38:{2,3,4,7}:{(21,1),(25,1),(49,1),(59,1),(60,1),(107,1),(144,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(63,1),(105,1)}
        41:{1,4,5}:{(24,1),(57,1),(63,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(27,1),(58,1),(63,1),(65,1),(66,1),(113,1),(143,1),(163,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(28,1),(59,1),(64,1),(66,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,5,7}:{(27,1),(29,1),(65,1),(67,1),(104,1),(168,1)}
        46:{1,2,6}:{(28,1),(66,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,5}:{(30,1),(33,1),(37,1),(69,1)}
        49:{1,3,4,7}:{(30,1),(34,1),(38,1),(71,1),(72,1),(118,1),(124,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(33,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(151,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(71,1),(77,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(37,1),(41,1),(69,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(37,1),(39,1),(42,1),(70,1),(78,1),(81,1),(83,1),(84,1),(123,1),(125,1),(131,1),(151,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(43,1),(71,1),(82,1),(84,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(87,1),(128,1)}
        63:{1,4,6}:{(41,1),(42,1),(81,1),(87,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(82,1),(87,1),(88,1),(133,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(45,1),(83,1),(87,1),(89,1),(133,1),(158,1),(171,1)}
        66:{1,3,6}:{(43,1),(46,1),(84,1),(88,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(48,1),(57,1),(93,1)}
        70:{1,3,5,6}:{(48,1),(50,1),(53,1),(58,1),(90,1),(93,1),(95,1),(96,1),(100,1),(141,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(54,1),(59,1),(94,1),(96,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(53,1),(93,1),(100,1),(101,1),(138,1)}
        76:{1,2,5,7}:{(53,1),(55,1),(95,1),(101,1),(102,1),(164,1)}
        77:{1,2,6}:{(54,1),(96,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(64,1),(94,1),(106,1),(107,1),(108,1),(149,1)}
        83:{2,3,5,7}:{(58,1),(60,1),(65,1),(95,1),(104,1),(107,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        84:{2,3,6}:{(59,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(103,1),(110,1),(113,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,7}:{(63,1),(65,1),(107,1)}
        88:{1,4,6}:{(64,1),(66,1),(108,1),(113,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(112,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,6}:{(69,1),(70,1),(81,1),(118,1)}
        94:{1,4,5,7}:{(69,1),(71,1),(82,1),(118,1),(119,1),(156,1)}
        95:{1,3,5,7}:{(70,1),(72,1),(76,1),(83,1),(115,1),(118,1),(120,1),(124,1),(156,1)}
        96:{1,3,6}:{(71,1),(77,1),(84,1),(119,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(76,1),(118,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(81,1),(85,1),(114,1),(125,1),(126,1),(131,1),(151,1),(162,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,6}:{(80,1),(81,1),(125,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,7}:{(81,1),(83,1),(87,1),(118,1),(128,1)}
       108:{2,4,6}:{(82,1),(84,1),(88,1),(119,1),(129,1),(131,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(130,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(87,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,4,6,7}:{(87,1),(88,1),(89,1),(130,1),(133,1)}
       113:{1,5,6}:{(88,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(93,1),(103,1),(134,1),(135,1),(141,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(100,1),(105,1),(134,1),(138,1),(139,1)}
       118:{1,4,7}:{(93,1),(95,1),(107,1)}
       119:{1,4,6}:{(94,1),(96,1),(108,1),(141,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(140,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(105,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(107,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,7}:{(105,1),(107,1),(145,1)}
       129:{3,4,6}:{(106,1),(108,1),(148,1)}
       130:{2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,5,6}:{(108,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(118,1),(124,1),(128,1),(152,1),(155,1)}
       140:{1,4,6,7}:{(118,1),(119,1),(120,1),(130,1),(156,1)}
       141:{1,5,6}:{(119,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(128,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(128,1),(129,1),(130,1),(159,1),(161,1),(173,1)}
       148:{3,5,6}:{(129,1),(131,1),(161,1),(162,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(161,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(148,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1567 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1568 :   0:{1,2,5,6,7}:{(1,1),(2,1),(45,1),(83,1),(94,1),(139,1),(143,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(27,1),(58,1),(110,1),(114,1),(168,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(120,1),(169,1),(175,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(26,1),(31,1),(68,1),(73,1),(120,1),(125,1),(126,1),(167,1),(169,1),(175,1),(214,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(81,1),(95,1),(138,1),(143,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(45,1),(81,1),(86,1),(143,1),(144,1),(194,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(42,1),(45,1),(92,1),(139,1),(142,1),(145,1),(147,1),(193,1)}
         7:{1,4,6,7}:{(1,1),(12,1),(14,1),(141,1),(193,1)}
         8:{1,3,6,7}:{(2,1),(13,1),(16,1),(146,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(13,1),(17,1),(18,1),(97,1),(146,1),(154,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(29,1),(56,1),(69,1),(114,1),(124,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(57,1),(164,1),(169,1),(210,1)}
        12:{2,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(9,1),(24,1),(25,1),(170,1),(174,1)}
        14:{1,4,5,7}:{(7,1),(22,1),(26,1),(27,1),(110,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(23,1),(24,1),(27,1),(28,1),(64,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(28,1),(29,1),(117,1),(175,1)}
        17:{1,3,4,6}:{(9,1),(24,1),(30,1),(31,1),(214,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(25,1),(31,1),(32,1),(68,1),(71,1),(117,1),(126,1),(127,1),(175,1)}
        19:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(35,1),(78,1),(81,1),(95,1),(136,1),(142,1),(152,1),(186,1),(188,1)}
        20:{1,4,6,7}:{(10,1),(12,1),(35,1),(141,1),(152,1)}
        21:{1,3,6,7}:{(11,1),(34,1),(37,1),(187,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(14,1),(35,1),(38,1),(39,1),(45,1),(81,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(195,1)}
        24:{1,3,4,7}:{(13,1),(17,1),(42,1),(193,1),(195,1)}
        25:{2,3,5,7}:{(13,1),(16,1),(18,1),(42,1),(43,1),(45,1),(147,1),(148,1)}
        26:{1,4,5,6}:{(14,1),(38,1),(44,1),(138,1),(141,1),(202,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(39,1),(44,1),(45,1)}
        28:{2,4,6,7}:{(15,1),(16,1),(42,1),(45,1),(46,1),(91,1)}
        29:{1,3,6,7}:{(16,1),(43,1),(46,1),(47,1),(146,1)}
        30:{1,3,4,5}:{(17,1),(49,1),(97,1),(156,1),(230,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(42,1),(49,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(43,1),(50,1),(51,1),(94,1),(97,1),(100,1),(146,1)}
        33:{1,2,4,5,6}:{(19,1),(52,1),(55,1),(102,1),(109,1),(123,1),(159,1),(164,1),(169,1),(179,1),(204,1),(205,1),(210,1),(216,1),(244,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(52,1),(53,1),(54,1),(170,1),(209,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(55,1),(56,1),(69,1)}
        36:{1,3,4,6,7}:{(20,1),(21,1),(23,1),(53,1),(56,1),(57,1),(105,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(161,1),(210,1)}
        38:{2,4,5,6}:{(22,1),(26,1),(55,1),(60,1),(68,1),(109,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(60,1)}
        40:{2,3,4,6,7}:{(23,1),(28,1),(57,1),(61,1),(62,1),(63,1),(104,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(219,1),(238,1)}
        41:{1,3,4,5,7}:{(24,1),(27,1),(30,1),(59,1),(64,1),(65,1),(113,1),(118,1),(170,1),(178,1),(220,1)}
        42:{2,4,7}:{(24,1),(25,1),(31,1),(66,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(32,1),(66,1),(67,1),(69,1),(122,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(60,1),(64,1),(68,1),(220,1)}
        45:{2,5,7}:{(27,1),(28,1),(68,1),(69,1)}
        46:{1,4,6,7}:{(28,1),(29,1),(66,1),(69,1),(120,1)}
        47:{1,2,6,7}:{(29,1),(67,1),(175,1)}
        48:{2,3,4,6}:{(31,1),(63,1),(71,1),(72,1),(117,1),(127,1),(181,1),(215,1),(219,1)}
        49:{2,4,5}:{(30,1),(31,1),(71,1),(73,1),(126,1),(181,1)}
        50:{1,4,6}:{(31,1),(32,1),(66,1),(73,1)}
        51:{1,2,5,6}:{(32,1),(67,1),(74,1),(126,1),(175,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(75,1),(76,1),(182,1),(187,1),(194,1),(222,1),(231,1)}
        53:{1,3,4,7}:{(34,1),(75,1),(78,1),(152,1),(195,1)}
        54:{2,3,5,7}:{(34,1),(37,1),(76,1),(78,1),(79,1),(81,1),(188,1),(189,1)}
        55:{1,4,5,6}:{(35,1),(38,1),(80,1),(94,1),(141,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(39,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(37,1),(78,1),(81,1),(82,1),(135,1)}
        58:{1,3,6,7}:{(37,1),(79,1),(82,1),(83,1),(187,1)}
        59:{3,4,5,7}:{(39,1),(84,1),(85,1),(195,1),(231,1)}
        60:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(45,1),(81,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(46,1),(82,1),(87,1),(88,1),(90,1),(96,1),(134,1),(140,1),(141,1),(146,1),(152,1),(187,1),(193,1),(194,1),(195,1),(201,1),(229,1),(232,1),(242,1)}
        63:{2,3,4,7}:{(42,1),(48,1),(89,1),(90,1),(148,1),(195,1),(200,1)}
        64:{1,3,4,6}:{(41,1),(44,1),(84,1),(91,1),(141,1),(146,1),(194,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(89,1),(91,1),(92,1),(147,1),(200,1),(233,1)}
        66:{1,4,7}:{(42,1),(43,1),(50,1)}
        67:{1,2,5,7}:{(43,1),(47,1),(51,1),(93,1),(147,1)}
        68:{2,5,6}:{(44,1),(45,1),(91,1),(94,1),(233,1)}
        69:{1,5,7}:{(45,1),(46,1),(94,1)}
        70:{1,2,4,6,7}:{(46,1),(47,1),(88,1),(93,1),(95,1),(96,1),(149,1),(152,1),(186,1),(225,1),(242,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,3,4,6}:{(48,1),(50,1),(90,1),(97,1),(98,1),(100,1),(146,1),(154,1),(156,1),(203,1),(232,1)}
        73:{1,4,5}:{(49,1),(50,1),(97,1),(203,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(93,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(53,1),(101,1),(102,1),(179,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(102,1),(103,1),(109,1),(157,1),(161,1),(205,1),(206,1),(210,1)}
        77:{1,3,4,5,7}:{(53,1),(56,1),(59,1),(101,1),(105,1),(106,1),(113,1),(162,1),(170,1),(213,1),(239,1)}
        78:{2,4,7}:{(53,1),(54,1),(102,1),(107,1)}
        79:{1,3,5,7}:{(54,1),(58,1),(103,1),(107,1),(108,1),(110,1),(166,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(60,1),(105,1),(109,1),(239,1)}
        81:{2,5,7}:{(56,1),(57,1),(109,1),(110,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(107,1),(110,1),(164,1)}
        83:{1,2,6,7}:{(58,1),(108,1),(210,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,4,5,7}:{(59,1),(61,1),(112,1),(113,1),(172,1),(216,1)}
        86:{2,3,5,6}:{(60,1),(61,1),(68,1),(109,1),(112,1),(114,1),(117,1),(161,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(69,1),(110,1),(113,1),(114,1),(115,1),(170,1),(220,1),(239,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(119,1),(163,1),(169,1),(172,1),(175,1),(210,1),(219,1),(238,1)}
        89:{2,3,5,7}:{(63,1),(65,1),(71,1),(117,1),(118,1),(170,1)}
        90:{1,3,4,7}:{(63,1),(66,1),(72,1),(118,1),(119,1),(122,1),(174,1),(218,1)}
        91:{2,4,6}:{(64,1),(65,1),(68,1),(117,1),(120,1),(175,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(73,1),(118,1),(120,1),(218,1),(240,1)}
        93:{1,2,4,7}:{(66,1),(67,1),(74,1),(119,1),(122,1)}
        94:{1,5,6}:{(68,1),(69,1),(120,1),(240,1)}
        95:{1,2,5,7}:{(69,1),(70,1),(115,1),(123,1),(124,1),(244,1)}
        96:{1,3,6,7}:{(70,1),(116,1),(122,1),(124,1),(177,1),(209,1),(236,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(126,1),(240,1)}
        98:{2,4,6}:{(72,1),(119,1),(126,1),(127,1),(175,1),(181,1)}
        99:{1,2,4,5}:{(73,1),(74,1),(126,1),(128,1),(181,1)}
       100:{1,3,6}:{(74,1),(122,1),(127,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(130,1),(182,1),(202,1),(224,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(78,1),(130,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(79,1),(131,1),(132,1),(138,1),(182,1),(185,1),(187,1)}
       104:{2,3,4,7}:{(78,1),(129,1),(133,1),(134,1),(189,1),(195,1),(228,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(84,1),(135,1),(141,1),(187,1),(194,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(81,1),(130,1),(133,1),(135,1),(136,1),(188,1),(228,1),(243,1)}
       107:{1,4,7}:{(78,1),(79,1),(131,1)}
       108:{1,2,5,7}:{(79,1),(83,1),(132,1),(137,1),(188,1)}
       109:{2,5,6}:{(80,1),(81,1),(135,1),(138,1),(243,1)}
       110:{1,5,7}:{(81,1),(82,1),(138,1)}
       111:{1,2,4,6,7}:{(82,1),(83,1),(88,1),(137,1),(139,1),(140,1),(145,1),(190,1),(193,1),(197,1),(232,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,4,5,7}:{(85,1),(87,1),(141,1),(142,1),(152,1),(193,1),(202,1),(230,1)}
       114:{1,3,5,6}:{(86,1),(87,1),(94,1),(138,1),(141,1),(143,1),(146,1),(187,1),(194,1)}
       115:{2,5,7}:{(87,1),(88,1),(143,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(96,1),(140,1),(144,1),(148,1),(189,1),(194,1),(199,1),(227,1)}
       117:{2,3,6}:{(89,1),(91,1),(146,1),(194,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(92,1),(97,1),(146,1),(147,1)}
       119:{2,4,7}:{(90,1),(98,1),(147,1),(148,1)}
       120:{1,4,6}:{(91,1),(92,1),(94,1),(146,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(99,1),(142,1),(147,1),(149,1),(150,1),(152,1),(200,1),(202,1),(233,1)}
       122:{1,3,7}:{(93,1),(100,1),(148,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(149,1),(151,1),(225,1),(233,1)}
       124:{1,3,5,7}:{(95,1),(96,1),(144,1),(151,1),(152,1)}
       125:{1,2,4,6}:{(98,1),(145,1),(153,1),(154,1),(197,1),(203,1),(232,1)}
       126:{2,5}:{(97,1),(98,1)}
       127:{2,3,6}:{(98,1),(100,1),(148,1),(154,1),(155,1)}
       128:{1,3,5}:{(99,1),(100,1),(155,1),(156,1)}
       129:{2,3,4,6}:{(102,1),(104,1),(157,1),(158,1),(161,1),(206,1),(215,1),(235,1),(238,1)}
       130:{2,4,5}:{(101,1),(102,1),(157,1),(159,1),(205,1),(235,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(159,1)}
       132:{1,2,5,6}:{(103,1),(108,1),(160,1),(205,1),(210,1)}
       133:{2,3,5,7}:{(104,1),(106,1),(157,1),(161,1),(162,1),(170,1)}
       134:{1,3,4,7}:{(104,1),(107,1),(158,1),(162,1),(163,1),(166,1),(209,1),(237,1)}
       135:{2,4,6}:{(105,1),(106,1),(109,1),(161,1),(164,1),(210,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(159,1),(162,1),(164,1),(237,1),(244,1)}
       137:{1,2,4,7}:{(107,1),(108,1),(160,1),(163,1),(166,1)}
       138:{1,5,6}:{(109,1),(110,1),(164,1),(244,1)}
       139:{1,2,5,7}:{(110,1),(111,1),(115,1),(167,1),(168,1),(240,1)}
       140:{1,3,6,7}:{(111,1),(116,1),(166,1),(168,1),(174,1),(212,1),(217,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,4,5,7}:{(113,1),(115,1),(169,1),(170,1),(172,1),(216,1)}
       143:{2,5,6}:{(114,1),(115,1),(169,1),(175,1),(210,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(124,1),(168,1),(170,1),(171,1),(172,1)}
       145:{1,2,4,7}:{(119,1),(125,1),(173,1),(174,1),(218,1)}
       146:{1,3,6}:{(117,1),(118,1),(120,1),(175,1)}
       147:{2,5,7}:{(118,1),(119,1),(126,1),(175,1)}
       148:{2,3,7}:{(119,1),(122,1),(127,1),(174,1)}
       149:{1,2,4,6}:{(120,1),(121,1),(123,1),(169,1),(175,1),(177,1),(179,1),(219,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(128,1),(170,1),(176,1),(177,1),(178,1),(220,1)}
       151:{1,3,5,6}:{(123,1),(124,1),(171,1),(177,1),(179,1),(220,1),(236,1),(244,1)}
       152:{1,4,7}:{(124,1),(172,1),(179,1)}
       153:{1,2,5}:{(125,1),(126,1),(180,1),(240,1)}
       154:{1,3,6}:{(125,1),(127,1),(174,1),(180,1)}
       155:{2,3,5}:{(126,1),(127,1),(128,1),(180,1),(181,1)}
       156:{1,3,4}:{(128,1),(181,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,3,4,6}:{(129,1),(131,1),(134,1),(182,1),(183,1),(185,1),(187,1),(222,1),(224,1),(241,1),(242,1)}
       159:{1,4,5}:{(130,1),(131,1),(182,1),(241,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(137,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(187,1),(194,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(136,1),(182,1),(187,1),(188,1)}
       163:{2,4,7}:{(134,1),(183,1),(188,1),(189,1)}
       164:{1,4,6}:{(135,1),(136,1),(138,1),(187,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(139,1),(142,1),(184,1),(188,1),(190,1),(191,1),(193,1),(228,1),(230,1),(243,1)}
       166:{1,3,7}:{(137,1),(185,1),(189,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(143,1),(190,1),(192,1),(197,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(144,1),(192,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{3,5,7}:{(142,1),(194,1),(195,1),(231,1)}
       171:{2,3,5,6}:{(143,1),(144,1),(151,1),(192,1),(194,1),(196,1),(199,1),(227,1),(231,1),(233,1),(243,1)}
       172:{2,4,7}:{(144,1),(152,1),(193,1),(195,1),(196,1)}
       173:{1,2,5,7}:{(145,1),(147,1),(153,1),(197,1),(198,1)}
       174:{1,3,7}:{(145,1),(148,1),(154,1)}
       175:{2,6}:{(146,1),(147,1)}
       176:{2,3,5,7}:{(147,1),(148,1),(150,1),(155,1),(198,1),(199,1),(200,1),(233,1)}
       177:{1,3,6}:{(149,1),(150,1),(194,1),(199,1)}
       178:{1,3,4,7}:{(150,1),(152,1),(156,1),(195,1),(200,1),(201,1)}
       179:{1,4,6}:{(151,1),(152,1),(196,1),(202,1)}
       180:{1,3,5}:{(153,1),(154,1),(155,1),(203,1)}
       181:{2,4}:{(155,1),(156,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(205,1),(244,1)}
       183:{2,4,6}:{(158,1),(163,1),(205,1),(206,1),(210,1),(235,1)}
       184:{1,2,4,5}:{(159,1),(160,1),(205,1),(207,1),(235,1)}
       185:{1,3,6}:{(160,1),(166,1),(206,1),(207,1)}
       186:{1,2,4,7}:{(163,1),(204,1),(208,1),(209,1),(237,1)}
       187:{1,3,6}:{(161,1),(162,1),(164,1),(210,1)}
       188:{2,5,7}:{(162,1),(163,1),(205,1),(210,1)}
       189:{2,3,7}:{(163,1),(166,1),(206,1),(209,1)}
       190:{1,2,4,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(212,1),(214,1),(238,1)}
       191:{1,3,5,7}:{(165,1),(166,1),(170,1),(207,1),(211,1),(212,1),(213,1),(239,1)}
       192:{1,3,5,6}:{(167,1),(168,1),(171,1),(212,1),(214,1),(217,1),(239,1),(240,1)}
       193:{1,4,7}:{(168,1),(172,1),(214,1)}
       194:{3,6}:{(169,1),(170,1)}
       195:{3,4,7}:{(170,1),(172,1),(215,1)}
       196:{2,4,6}:{(171,1),(172,1),(179,1),(214,1),(215,1),(216,1)}
       197:{1,2,6}:{(173,1),(175,1),(217,1)}
       198:{1,3,5,7}:{(173,1),(174,1),(176,1),(180,1),(217,1),(218,1),(240,1)}
       199:{2,3,6}:{(175,1),(176,1),(177,1),(217,1),(219,1)}
       200:{2,4,7}:{(176,1),(178,1),(181,1),(218,1),(219,1)}
       201:{1,3,4,6}:{(177,1),(178,1),(179,1),(215,1),(219,1),(220,1)}
       202:{1,4,5}:{(179,1),(216,1),(220,1),(244,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{1,2,4,6}:{(183,1),(186,1),(221,1),(222,1),(225,1),(241,1),(242,1)}
       205:{2,5}:{(182,1),(183,1)}
       206:{2,3,6}:{(183,1),(185,1),(189,1),(222,1),(223,1)}
       207:{1,3,5}:{(184,1),(185,1),(223,1),(224,1)}
       208:{1,2,5,7}:{(186,1),(188,1),(221,1),(225,1),(226,1)}
       209:{1,3,7}:{(186,1),(189,1),(222,1)}
       210:{2,6}:{(187,1),(188,1)}
       211:{2,3,5,7}:{(188,1),(189,1),(191,1),(223,1),(226,1),(227,1),(228,1),(243,1)}
       212:{1,3,6}:{(190,1),(191,1),(194,1),(227,1)}
       213:{1,3,4,7}:{(191,1),(193,1),(195,1),(224,1),(228,1),(229,1)}
       214:{1,4,6}:{(192,1),(193,1),(196,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(196,1),(202,1),(230,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(199,1),(232,1)}
       218:{1,4,7}:{(198,1),(200,1),(203,1),(232,1)}
       219:{2,4,6}:{(199,1),(200,1),(201,1),(232,1),(233,1)}
       220:{1,3,5}:{(201,1),(202,1),(231,1),(233,1)}
       221:{1,2,5}:{(204,1),(205,1),(234,1),(244,1)}
       222:{1,3,6}:{(204,1),(206,1),(209,1),(234,1)}
       223:{2,3,5}:{(205,1),(206,1),(207,1),(234,1),(235,1)}
       224:{1,3,4}:{(207,1),(235,1)}
       225:{1,2,6}:{(208,1),(210,1),(236,1)}
       226:{1,3,5,7}:{(208,1),(209,1),(211,1),(234,1),(236,1),(237,1),(244,1)}
       227:{2,3,6}:{(210,1),(211,1),(212,1),(236,1),(238,1)}
       228:{2,4,7}:{(211,1),(213,1),(235,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(212,1),(213,1),(214,1),(215,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(216,1),(239,1),(240,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(219,1),(240,1)}
       233:{2,5}:{(219,1),(220,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(223,1),(241,1)}
       235:{2,4}:{(223,1),(224,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(227,1),(242,1)}
       237:{1,4,7}:{(226,1),(228,1),(241,1),(242,1)}
       238:{2,4,6}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(231,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(238,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1569 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(7,1),(27,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(30,1),(67,1),(110,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(70,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(32,1),(35,1),(69,1)}
         5:{1,3,4,6}:{(2,1),(4,1),(11,1),(12,1),(13,1),(14,1),(40,1),(43,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,5}:{(2,1),(12,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(126,1)}
         9:{2,3,5}:{(4,1),(12,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(53,1),(92,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(57,1),(60,1),(69,1)}
        12:{1,3,5}:{(5,1),(7,1),(9,1),(21,1),(23,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(10,1),(22,1),(25,1),(64,1),(70,1),(111,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(7,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,6}:{(7,1),(24,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(25,1),(30,1)}
        18:{2,4,5}:{(9,1),(23,1),(31,1),(32,1)}
        19:{2,3,5,6}:{(9,1),(24,1),(32,1),(34,1),(35,1),(69,1),(71,1),(76,1),(104,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(33,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(36,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(80,1),(92,1)}
        23:{1,4,5}:{(12,1),(18,1),(36,1),(40,1)}
        24:{1,3,5,6}:{(12,1),(16,1),(19,1),(37,1),(40,1),(42,1),(43,1),(47,1),(89,1),(91,1),(121,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(17,1),(20,1),(38,1),(41,1),(43,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(40,1),(47,1),(48,1),(86,1)}
        29:{1,2,5,7}:{(16,1),(42,1),(48,1),(49,1),(122,1),(126,1)}
        30:{1,2,6}:{(17,1),(43,1)}
        31:{3,4,5}:{(18,1),(51,1)}
        32:{2,4,6}:{(18,1),(19,1),(40,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(54,1),(97,1)}
        34:{2,3,5,7}:{(19,1),(42,1),(53,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,4,5}:{(21,1),(23,1),(56,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(57,1),(59,1),(60,1),(69,1),(98,1),(103,1),(104,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(60,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,6}:{(23,1),(24,1),(32,1),(57,1),(64,1)}
        41:{1,4,5,7}:{(23,1),(25,1),(33,1),(58,1),(64,1),(65,1),(109,1)}
        42:{1,3,5,7}:{(24,1),(29,1),(34,1),(59,1),(64,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        43:{1,3,6}:{(25,1),(30,1),(35,1),(60,1),(65,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(64,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(32,1),(61,1),(71,1),(72,1),(76,1),(104,1),(115,1)}
        51:{3,4,6}:{(31,1),(32,1),(71,1),(73,1)}
        52:{3,4,5,7}:{(31,1),(33,1),(73,1),(74,1),(114,1)}
        53:{2,4,7}:{(32,1),(34,1),(64,1),(73,1)}
        54:{2,4,6}:{(33,1),(35,1),(65,1),(74,1),(76,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(75,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(78,1)}
        57:{2,4,6}:{(36,1),(37,1),(40,1),(78,1),(80,1)}
        58:{2,4,5,7}:{(36,1),(38,1),(41,1),(79,1),(80,1),(81,1),(120,1)}
        59:{2,3,5,7}:{(37,1),(42,1),(80,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        60:{2,3,6}:{(38,1),(43,1),(81,1)}
        61:{1,4,5,6}:{(40,1),(50,1),(77,1),(83,1),(84,1),(89,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(40,1),(47,1),(51,1),(78,1),(83,1),(86,1),(87,1)}
        64:{1,4,7}:{(40,1),(42,1),(53,1),(80,1)}
        65:{1,4,6}:{(41,1),(43,1),(54,1),(81,1),(89,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(88,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(51,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(53,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,7}:{(51,1),(53,1),(93,1)}
        74:{3,4,6}:{(52,1),(54,1),(96,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(55,1),(88,1),(95,1),(97,1)}
        76:{2,5,6}:{(54,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(57,1),(61,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        78:{3,4,6}:{(56,1),(57,1),(98,1),(100,1)}
        79:{3,4,5,7}:{(56,1),(58,1),(100,1),(101,1),(131,1)}
        80:{2,4,7}:{(57,1),(59,1),(64,1),(100,1)}
        81:{2,4,6}:{(58,1),(60,1),(65,1),(101,1),(103,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(102,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(64,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(64,1),(70,1),(73,1),(100,1),(105,1),(108,1)}
        88:{1,4,6,7}:{(64,1),(65,1),(66,1),(75,1),(102,1),(109,1)}
        89:{1,5,6}:{(65,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(73,1),(74,1),(75,1),(112,1),(114,1),(135,1)}
        96:{3,5,6}:{(74,1),(76,1),(114,1),(115,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(114,1)}
        98:{3,5,6}:{(77,1),(78,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(80,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,7}:{(78,1),(80,1),(116,1)}
       101:{3,4,6}:{(79,1),(81,1),(119,1)}
       102:{2,4,6,7}:{(80,1),(81,1),(82,1),(88,1),(118,1),(120,1)}
       103:{2,5,6}:{(81,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(96,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{3,5,6}:{(101,1),(103,1),(131,1),(132,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(131,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(119,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1570 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1571 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1572 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1573 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1574 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1575 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(89,1),(162,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(25,1),(29,1),(60,1),(136,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(122,1),(202,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(36,1),(51,1),(111,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(176,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(42,1),(48,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(241,1),(264,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(96,1),(117,1),(237,1),(250,1),(259,1),(265,1),(301,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(78,1),(148,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(68,1),(78,1),(122,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(25,1),(217,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(23,1),(26,1),(32,1),(63,1),(72,1),(81,1),(125,1),(140,1),(218,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(27,1),(202,1),(284,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,3,5,6,7}:{(6,1),(25,1),(29,1),(30,1),(68,1),(75,1),(78,1)}
        16:{2,4,5,6}:{(7,1),(27,1),(31,1),(32,1),(232,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(33,1),(153,1),(232,1),(269,1),(280,1),(310,1)}
        18:{1,3,4,5,7}:{(8,1),(33,1),(34,1),(74,1),(75,1),(84,1),(130,1),(145,1),(152,1),(226,1),(233,1),(279,1)}
        19:{3,4,6,7}:{(9,1),(35,1),(36,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(36,1),(37,1),(42,1),(86,1)}
        21:{3,4,5,6}:{(35,1),(38,1),(191,1),(294,1)}
        22:{2,3,4,5,7}:{(39,1),(40,1),(47,1),(86,1),(96,1),(168,1),(187,1),(250,1),(289,1),(295,1),(311,1)}
        23:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(35,1),(41,1),(49,1),(87,1),(97,1),(107,1),(158,1),(173,1),(176,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(41,1),(42,1),(43,1),(99,1)}
        25:{1,5,6,7}:{(11,1),(43,1),(252,1)}
        26:{2,4,5,6}:{(12,1),(41,1),(45,1),(46,1),(103,1),(181,1),(253,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(16,1),(48,1),(49,1),(259,1)}
        28:{2,3,4,6,7}:{(14,1),(17,1),(42,1),(48,1),(50,1),(96,1),(161,1),(175,1),(188,1),(259,1)}
        29:{1,4,6,7}:{(14,1),(15,1),(49,1),(51,1)}
        30:{2,5,6,7}:{(15,1),(51,1),(99,1),(106,1)}
        31:{2,3,5,6}:{(16,1),(17,1),(48,1),(53,1),(241,1),(253,1)}
        32:{1,4,5,6}:{(16,1),(49,1),(53,1),(54,1),(193,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(53,1),(55,1),(114,1),(115,1),(193,1),(299,1)}
        34:{2,4,5,7}:{(18,1),(55,1),(57,1),(105,1),(106,1),(170,1),(186,1),(194,1)}
        35:{3,4,5,7}:{(19,1),(21,1),(58,1),(148,1),(303,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(58,1),(60,1)}
        37:{1,3,5,6,7}:{(20,1),(25,1),(60,1),(61,1),(68,1),(119,1),(122,1)}
        38:{2,4,5,6}:{(21,1),(58,1),(62,1),(63,1),(273,1)}
        39:{2,3,4,6}:{(22,1),(62,1),(64,1),(207,1),(228,1),(273,1),(280,1),(314,1)}
        40:{1,3,4,5,7}:{(22,1),(64,1),(65,1),(74,1),(119,1),(128,1),(130,1),(199,1),(206,1),(267,1),(274,1),(279,1)}
        41:{2,4,5,7}:{(23,1),(24,1),(26,1),(66,1),(67,1),(131,1),(214,1),(217,1)}
        42:{2,3,6,7}:{(24,1),(66,1),(68,1),(78,1),(122,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(67,1),(68,1)}
        44:{1,2,5,6,7}:{(25,1),(30,1),(61,1),(69,1),(70,1),(133,1),(143,1),(197,1),(217,1),(281,1),(287,1),(306,1)}
        45:{2,3,5,6}:{(26,1),(66,1),(71,1),(72,1),(81,1),(125,1)}
        46:{1,4,5,6}:{(26,1),(67,1),(72,1),(221,1),(281,1)}
        47:{2,3,4,5}:{(71,1),(74,1),(152,1),(206,1),(222,1),(223,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(31,1),(75,1),(202,1),(217,1)}
        49:{1,4,5,7}:{(27,1),(29,1),(32,1),(75,1),(76,1),(226,1)}
        50:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(68,1),(75,1),(77,1),(78,1),(130,1),(145,1),(146,1),(216,1),(226,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(76,1),(78,1)}
        52:{2,3,5,6,7}:{(30,1),(70,1),(78,1),(79,1),(134,1),(144,1),(148,1),(217,1),(231,1),(266,1),(306,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(33,1),(75,1),(80,1),(81,1),(281,1)}
        54:{2,4,5,6}:{(32,1),(76,1),(80,1),(81,1),(151,1)}
        55:{2,4,6}:{(33,1),(34,1),(80,1),(83,1)}
        56:{1,2,4,5,7}:{(34,1),(82,1),(84,1),(141,1),(143,1),(156,1),(211,1),(226,1),(233,1),(234,1),(279,1),(285,1),(308,1)}
        57:{2,3,5,7}:{(34,1),(83,1),(84,1),(85,1),(142,1),(155,1),(212,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(38,1),(86,1),(87,1),(289,1)}
        59:{2,3,4,6,7}:{(36,1),(39,1),(42,1),(86,1),(88,1),(96,1),(110,1),(175,1),(238,1),(289,1)}
        60:{1,4,6,7}:{(36,1),(37,1),(87,1),(89,1)}
        61:{2,5,6,7}:{(37,1),(89,1),(99,1),(157,1)}
        62:{2,3,5,6}:{(38,1),(39,1),(86,1),(91,1),(191,1),(253,1)}
        63:{1,4,5,6}:{(38,1),(87,1),(91,1),(92,1),(243,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(91,1),(93,1),(165,1),(166,1),(243,1),(299,1)}
        65:{2,4,5,7}:{(40,1),(93,1),(95,1),(105,1),(157,1),(170,1),(236,1),(244,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(107,1),(158,1)}
        67:{1,4,5,7}:{(41,1),(43,1),(46,1),(97,1),(249,1),(252,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(97,1),(99,1)}
        69:{1,2,4,6,7}:{(43,1),(44,1),(51,1),(89,1),(98,1),(99,1),(100,1),(101,1),(175,1),(299,1),(302,1),(312,1),(313,1)}
        70:{1,3,5,6,7}:{(44,1),(52,1),(90,1),(100,1),(101,1),(174,1),(176,1),(185,1),(235,1),(252,1),(263,1),(293,1)}
        71:{2,3,4,6}:{(45,1),(47,1),(96,1),(102,1),(114,1),(165,1),(181,1),(254,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(97,1),(102,1),(103,1)}
        73:{1,2,4,5,6}:{(46,1),(54,1),(92,1),(98,1),(103,1),(104,1),(112,1),(163,1),(177,1),(178,1),(181,1),(193,1),(243,1),(253,1),(257,1),(265,1),(295,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,4,5}:{(47,1),(102,1),(105,1),(183,1),(257,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(53,1),(106,1),(107,1),(252,1)}
        76:{2,4,5,7}:{(49,1),(51,1),(54,1),(106,1),(107,1),(186,1)}
        77:{2,4,6,7}:{(50,1),(55,1),(99,1),(106,1),(109,1),(170,1),(186,1)}
        78:{3,6,7}:{(51,1),(107,1)}
        79:{2,4,6,7}:{(52,1),(101,1),(110,1),(111,1),(186,1),(261,1),(289,1),(312,1)}
        80:{2,5,6}:{(53,1),(55,1),(106,1)}
        81:{3,5,6}:{(54,1),(107,1),(114,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(112,1),(115,1),(193,1),(195,1),(299,1),(302,1),(313,1)}
        83:{2,3,6}:{(55,1),(57,1),(115,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(115,1),(117,1),(118,1),(183,1),(196,1),(247,1),(301,1)}
        85:{2,3,4,7}:{(57,1),(116,1),(118,1),(184,1),(186,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(62,1),(119,1),(148,1),(217,1)}
        87:{1,4,5,7}:{(58,1),(60,1),(63,1),(119,1),(120,1),(267,1)}
        88:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(68,1),(119,1),(121,1),(122,1),(130,1),(199,1),(200,1),(216,1),(267,1)}
        89:{2,4,6,7}:{(60,1),(61,1),(120,1),(122,1)}
        90:{2,3,5,6,7}:{(61,1),(70,1),(122,1),(123,1),(134,1),(198,1),(202,1),(217,1),(225,1),(272,1),(287,1),(310,1)}
        91:{1,3,5,6}:{(62,1),(63,1),(64,1),(119,1),(124,1),(125,1),(281,1)}
        92:{2,4,5,6}:{(63,1),(120,1),(124,1),(125,1),(205,1)}
        93:{2,4,6}:{(64,1),(65,1),(124,1),(127,1)}
        94:{1,2,4,5,7}:{(65,1),(126,1),(128,1),(141,1),(197,1),(210,1),(211,1),(267,1),(274,1),(275,1),(279,1),(304,1),(308,1)}
        95:{2,3,5,7}:{(65,1),(127,1),(128,1),(129,1),(142,1),(209,1),(212,1)}
        96:{2,3,4,7}:{(66,1),(71,1),(130,1),(145,1),(199,1),(214,1),(276,1)}
        97:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(130,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(69,1),(73,1),(76,1),(120,1),(131,1),(132,1),(136,1),(143,1),(197,1),(211,1),(214,1),(217,1),(226,1),(267,1),(279,1),(285,1),(304,1),(308,1)}
        99:{2,6,7}:{(68,1),(131,1)}
       100:{1,3,6,7}:{(69,1),(78,1),(122,1),(132,1),(134,1),(309,1),(310,1),(314,1)}
       101:{1,4,6,7}:{(70,1),(79,1),(123,1),(136,1),(226,1),(267,1),(286,1),(305,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(74,1),(130,1),(137,1),(219,1),(221,1)}
       103:{2,5,6}:{(72,1),(131,1),(137,1)}
       104:{1,3,5,6}:{(73,1),(81,1),(125,1),(132,1),(139,1),(140,1),(219,1),(283,1),(288,1),(307,1),(309,1),(310,1),(314,1)}
       105:{2,4,5}:{(74,1),(137,1),(142,1)}
       106:{2,5,7}:{(75,1),(77,1),(80,1)}
       107:{3,5,7}:{(76,1),(78,1),(81,1),(145,1)}
       108:{1,2,4,6,7}:{(77,1),(82,1),(133,1),(143,1),(146,1),(211,1),(216,1),(226,1),(229,1)}
       109:{2,3,6,7}:{(77,1),(78,1),(83,1),(144,1),(146,1),(212,1)}
       110:{3,4,6,7}:{(78,1),(79,1),(145,1),(148,1),(228,1),(303,1),(314,1)}
       111:{2,4,5,7}:{(79,1),(136,1),(148,1),(149,1),(217,1)}
       112:{1,2,5,6}:{(80,1),(82,1),(143,1),(150,1),(234,1),(281,1),(287,1)}
       113:{2,3,5,6}:{(80,1),(81,1),(83,1),(144,1),(150,1),(151,1),(155,1)}
       114:{3,4,6}:{(81,1),(145,1),(151,1),(152,1)}
       115:{1,3,6}:{(82,1),(83,1),(84,1),(153,1),(310,1)}
       116:{2,3,4,6}:{(83,1),(85,1),(151,1),(154,1),(155,1)}
       117:{2,3,5,7}:{(84,1),(153,1),(156,1),(223,1),(234,1),(276,1),(308,1)}
       118:{1,3,4,7}:{(84,1),(85,1),(154,1),(156,1),(224,1),(226,1),(284,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(157,1),(158,1),(252,1)}
       120:{2,4,5,7}:{(87,1),(89,1),(92,1),(157,1),(158,1),(236,1)}
       121:{2,4,6,7}:{(88,1),(93,1),(99,1),(157,1),(160,1),(170,1),(236,1)}
       122:{3,6,7}:{(89,1),(158,1)}
       123:{2,4,6,7}:{(90,1),(101,1),(161,1),(162,1),(236,1),(259,1),(291,1),(302,1)}
       124:{2,5,6}:{(91,1),(93,1),(157,1)}
       125:{3,5,6}:{(92,1),(158,1),(165,1)}
       126:{1,2,4,6}:{(93,1),(94,1),(163,1),(166,1),(243,1),(245,1),(299,1),(312,1),(313,1)}
       127:{2,3,6}:{(93,1),(95,1),(166,1)}
       128:{1,3,5,7}:{(94,1),(95,1),(166,1),(168,1),(169,1),(183,1),(246,1),(247,1),(311,1)}
       129:{2,3,4,7}:{(95,1),(167,1),(169,1),(184,1),(236,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(102,1),(170,1),(247,1),(249,1)}
       131:{2,5,7}:{(97,1),(99,1),(103,1),(170,1)}
       132:{1,3,5,7}:{(98,1),(100,1),(104,1),(107,1),(158,1),(172,1),(173,1),(247,1),(301,1),(311,1)}
       133:{1,2,6,7}:{(99,1),(171,1),(174,1),(313,1)}
       134:{2,3,6,7}:{(99,1),(100,1),(172,1),(174,1),(175,1),(298,1),(313,1)}
       135:{1,3,4,6,7}:{(100,1),(101,1),(110,1),(161,1),(173,1),(175,1),(176,1),(251,1)}
       136:{1,4,5,7}:{(101,1),(111,1),(162,1),(176,1),(177,1),(252,1)}
       137:{2,4,6}:{(102,1),(103,1),(105,1),(170,1),(179,1)}
       138:{1,2,5,6}:{(103,1),(171,1),(178,1),(180,1),(300,1),(313,1)}
       139:{2,3,5,6}:{(103,1),(104,1),(172,1),(179,1),(180,1),(181,1),(253,1),(254,1),(256,1),(298,1),(300,1),(313,1)}
       140:{1,3,4,6}:{(104,1),(114,1),(165,1),(173,1),(181,1),(182,1),(193,1),(243,1),(264,1),(294,1)}
       141:{1,2,4,5}:{(105,1),(178,1),(183,1),(257,1),(258,1),(300,1)}
       142:{2,3,5}:{(105,1),(179,1),(183,1),(184,1)}
       143:{1,2,5,7}:{(106,1),(108,1),(112,1),(185,1),(252,1),(262,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(109,1),(113,1),(185,1),(186,1)}
       145:{3,4,7}:{(107,1),(114,1),(186,1)}
       146:{1,3,6,7}:{(108,1),(109,1),(115,1),(185,1),(188,1),(247,1)}
       147:{2,3,4,6,7}:{(109,1),(110,1),(116,1),(175,1),(186,1),(189,1),(190,1),(248,1),(261,1),(298,1)}
       148:{3,5,7}:{(110,1),(111,1),(191,1)}
       149:{2,4,5,6}:{(111,1),(177,1),(191,1),(253,1),(261,1),(312,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(115,1),(185,1),(192,1),(193,1),(196,1)}
       151:{2,4,6}:{(113,1),(114,1),(186,1),(193,1),(194,1)}
       152:{3,4,5}:{(114,1),(194,1)}
       153:{2,3,6}:{(115,1),(117,1),(195,1),(313,1)}
       154:{1,3,4,6}:{(115,1),(116,1),(118,1),(193,1),(195,1),(196,1),(264,1)}
       155:{2,3,5}:{(116,1),(194,1),(196,1)}
       156:{2,4,7}:{(117,1),(118,1),(195,1),(258,1)}
       157:{2,5,7}:{(119,1),(121,1),(124,1)}
       158:{3,5,7}:{(120,1),(122,1),(125,1),(199,1)}
       159:{1,2,4,6,7}:{(121,1),(126,1),(133,1),(197,1),(200,1),(211,1),(216,1),(267,1),(270,1)}
       160:{2,3,6,7}:{(121,1),(122,1),(127,1),(198,1),(200,1),(212,1)}
       161:{3,4,6,7}:{(122,1),(123,1),(199,1),(202,1),(269,1),(284,1),(310,1)}
       162:{2,4,5,7}:{(123,1),(136,1),(202,1),(203,1),(217,1)}
       163:{1,2,5,6}:{(124,1),(126,1),(197,1),(204,1),(275,1),(281,1),(306,1)}
       164:{2,3,5,6}:{(124,1),(125,1),(127,1),(198,1),(204,1),(205,1),(209,1)}
       165:{3,4,6}:{(125,1),(199,1),(205,1),(206,1)}
       166:{1,3,6}:{(126,1),(127,1),(128,1),(207,1),(314,1)}
       167:{2,3,4,6}:{(127,1),(129,1),(205,1),(208,1),(209,1)}
       168:{2,3,5,7}:{(128,1),(207,1),(210,1),(223,1),(275,1),(276,1),(308,1)}
       169:{1,3,4,7}:{(128,1),(129,1),(208,1),(210,1),(224,1),(267,1),(303,1)}
       170:{2,4,7}:{(130,1),(131,1),(137,1),(212,1)}
       171:{1,2,5,7}:{(131,1),(133,1),(138,1),(211,1),(213,1),(308,1)}
       172:{2,3,5,7}:{(131,1),(132,1),(134,1),(139,1),(212,1),(213,1),(214,1),(217,1),(276,1),(308,1)}
       173:{1,3,4,7}:{(132,1),(140,1),(145,1),(199,1),(214,1),(226,1),(267,1),(284,1),(303,1)}
       174:{1,3,6,7}:{(133,1),(134,1),(213,1),(216,1),(309,1)}
       175:{2,4,6,7}:{(134,1),(135,1),(214,1),(216,1),(217,1),(280,1)}
       176:{1,3,5,7}:{(135,1),(136,1),(148,1),(202,1),(217,1),(218,1)}
       177:{1,4,5,6}:{(136,1),(149,1),(203,1),(218,1),(281,1),(286,1),(305,1)}
       178:{1,2,4,6}:{(137,1),(138,1),(141,1),(211,1),(219,1),(221,1),(282,1)}
       179:{2,3,6}:{(137,1),(142,1),(212,1),(219,1)}
       180:{1,3,5,6}:{(138,1),(139,1),(213,1),(219,1),(221,1),(281,1),(283,1),(309,1)}
       181:{2,4,6}:{(139,1),(140,1),(214,1),(221,1),(222,1)}
       182:{1,3,4,5}:{(140,1),(152,1),(206,1),(222,1),(233,1),(274,1),(283,1),(288,1),(307,1)}
       183:{1,3,5}:{(141,1),(142,1),(219,1),(223,1),(224,1)}
       184:{2,3,4}:{(142,1),(224,1)}
       185:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(225,1),(226,1)}
       186:{2,4,7}:{(144,1),(145,1),(151,1),(226,1)}
       187:{3,4,5,7}:{(145,1),(148,1),(152,1),(227,1),(228,1)}
       188:{2,3,6,7}:{(146,1),(153,1),(225,1),(229,1),(276,1),(310,1)}
       189:{1,3,4,6,7}:{(146,1),(147,1),(154,1),(216,1),(226,1),(229,1),(230,1),(277,1),(284,1),(286,1),(309,1),(310,1)}
       190:{2,3,5,7}:{(147,1),(148,1),(155,1),(217,1),(227,1),(230,1),(231,1)}
       191:{3,5,6}:{(148,1),(149,1),(228,1),(314,1)}
       192:{2,3,5,6}:{(150,1),(153,1),(225,1),(232,1),(234,1),(287,1),(288,1),(310,1)}
       193:{1,4,6}:{(150,1),(151,1),(226,1),(232,1),(233,1)}
       194:{2,4,5}:{(151,1),(152,1),(155,1),(233,1)}
       195:{2,4,6}:{(153,1),(154,1),(156,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(233,1),(234,1),(288,1)}
       197:{1,2,5,7}:{(157,1),(159,1),(163,1),(235,1),(252,1),(292,1)}
       198:{2,3,5,7}:{(157,1),(158,1),(160,1),(164,1),(235,1),(236,1)}
       199:{3,4,7}:{(158,1),(165,1),(236,1)}
       200:{1,3,6,7}:{(159,1),(160,1),(166,1),(235,1),(238,1),(247,1)}
       201:{2,3,4,6,7}:{(160,1),(161,1),(167,1),(175,1),(236,1),(239,1),(240,1),(248,1),(291,1),(298,1)}
       202:{3,5,7}:{(161,1),(162,1),(241,1)}
       203:{2,4,5,6}:{(162,1),(177,1),(241,1),(253,1),(291,1),(302,1)}
       204:{1,3,5,6}:{(163,1),(164,1),(166,1),(235,1),(242,1),(243,1),(246,1)}
       205:{2,4,6}:{(164,1),(165,1),(236,1),(243,1),(244,1)}
       206:{3,4,5}:{(165,1),(244,1)}
       207:{2,3,6}:{(166,1),(168,1),(245,1),(313,1)}
       208:{1,3,4,6}:{(166,1),(167,1),(169,1),(243,1),(245,1),(246,1),(294,1)}
       209:{2,3,5}:{(167,1),(244,1),(246,1)}
       210:{2,4,7}:{(168,1),(169,1),(245,1),(258,1)}
       211:{1,2,4,7}:{(170,1),(171,1),(178,1),(247,1),(249,1),(296,1)}
       212:{2,3,7}:{(170,1),(179,1),(247,1)}
       213:{1,3,5,7}:{(171,1),(172,1),(174,1),(180,1),(247,1),(249,1),(252,1)}
       214:{2,4,7}:{(172,1),(173,1),(181,1),(249,1)}
       215:{1,3,4,5,7}:{(173,1),(176,1),(182,1),(187,1),(237,1),(250,1),(251,1),(260,1),(290,1),(297,1),(301,1),(311,1)}
       216:{1,4,6,7}:{(174,1),(175,1),(249,1),(252,1),(299,1)}
       217:{2,5,7}:{(175,1),(176,1),(252,1),(253,1)}
       218:{1,3,5,6}:{(176,1),(177,1),(191,1),(241,1),(251,1),(253,1)}
       219:{1,3,6}:{(178,1),(179,1),(183,1),(247,1),(254,1)}
       220:{2,3,4,6}:{(179,1),(181,1),(184,1),(248,1),(255,1),(256,1),(264,1),(294,1),(298,1)}
       221:{1,4,6}:{(180,1),(181,1),(249,1),(257,1)}
       222:{2,4,5}:{(181,1),(182,1),(256,1),(257,1),(300,1)}
       223:{2,3,5}:{(183,1),(254,1),(258,1),(300,1)}
       224:{1,3,4}:{(183,1),(184,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(188,1),(192,1),(259,1),(262,1),(301,1)}
       226:{1,4,7}:{(185,1),(186,1),(193,1),(259,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(190,1),(194,1),(260,1),(261,1)}
       228:{3,4,6}:{(187,1),(191,1),(261,1)}
       229:{2,4,6,7}:{(188,1),(189,1),(195,1),(259,1),(262,1),(296,1),(302,1),(313,1)}
       230:{1,3,5,7}:{(189,1),(190,1),(196,1),(252,1),(260,1),(262,1),(263,1),(301,1)}
       231:{2,3,5,6}:{(190,1),(191,1),(253,1),(261,1),(263,1),(298,1)}
       232:{2,4,6}:{(192,1),(193,1),(259,1),(264,1),(265,1)}
       233:{1,4,5}:{(193,1),(194,1),(196,1),(265,1)}
       234:{2,5}:{(195,1),(196,1)}
       235:{1,3,5,7}:{(197,1),(198,1),(200,1),(204,1),(266,1),(267,1)}
       236:{2,4,7}:{(198,1),(199,1),(205,1),(267,1)}
       237:{3,4,5,7}:{(199,1),(202,1),(206,1),(268,1),(269,1)}
       238:{2,3,6,7}:{(200,1),(207,1),(266,1),(270,1),(276,1),(314,1)}
       239:{1,3,4,6,7}:{(200,1),(201,1),(208,1),(216,1),(267,1),(270,1),(271,1),(277,1),(303,1),(305,1),(309,1),(314,1)}
       240:{2,3,5,7}:{(201,1),(202,1),(209,1),(217,1),(268,1),(271,1),(272,1)}
       241:{3,5,6}:{(202,1),(203,1),(269,1),(310,1)}
       242:{2,3,5,6}:{(204,1),(207,1),(266,1),(273,1),(275,1),(306,1),(307,1),(314,1)}
       243:{1,4,6}:{(204,1),(205,1),(267,1),(273,1),(274,1)}
       244:{2,4,5}:{(205,1),(206,1),(209,1),(274,1)}
       245:{2,4,6}:{(207,1),(208,1),(210,1),(275,1)}
       246:{1,3,5}:{(208,1),(209,1),(274,1),(275,1),(307,1)}
       247:{1,3,7}:{(211,1),(212,1),(219,1),(276,1)}
       248:{2,3,4,7}:{(212,1),(214,1),(220,1),(277,1),(278,1),(284,1),(303,1)}
       249:{1,4,7}:{(213,1),(214,1),(221,1)}
       250:{2,4,5,7}:{(214,1),(215,1),(217,1),(222,1),(278,1),(279,1),(280,1),(308,1)}
       251:{1,3,4,6}:{(215,1),(218,1),(228,1),(269,1),(280,1),(286,1),(305,1),(309,1),(310,1),(314,1)}
       252:{1,5,7}:{(216,1),(217,1),(281,1)}
       253:{2,5,6}:{(217,1),(218,1),(280,1),(281,1)}
       254:{2,3,6}:{(219,1),(223,1),(276,1),(282,1)}
       255:{1,3,4,6}:{(219,1),(220,1),(221,1),(224,1),(277,1),(282,1),(283,1),(309,1)}
       256:{2,3,5}:{(220,1),(222,1),(283,1),(288,1),(307,1)}
       257:{1,4,5}:{(221,1),(222,1),(283,1)}
       258:{2,4}:{(223,1),(224,1)}
       259:{2,4,7}:{(225,1),(226,1),(232,1),(284,1)}
       260:{1,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(285,1),(286,1)}
       261:{2,4,6}:{(227,1),(228,1),(231,1),(286,1)}
       262:{2,5,7}:{(229,1),(230,1),(234,1),(287,1)}
       263:{1,3,5,6}:{(230,1),(231,1),(281,1),(286,1),(287,1),(309,1),(310,1)}
       264:{3,4,6}:{(232,1),(284,1),(288,1),(310,1)}
       265:{2,4,5}:{(232,1),(233,1),(234,1),(288,1)}
       266:{2,3,5,7}:{(235,1),(238,1),(242,1),(289,1),(292,1),(311,1)}
       267:{1,4,7}:{(235,1),(236,1),(243,1),(289,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(240,1),(244,1),(290,1),(291,1)}
       269:{3,4,6}:{(237,1),(241,1),(291,1)}
       270:{2,4,6,7}:{(238,1),(239,1),(245,1),(289,1),(292,1),(296,1),(312,1),(313,1)}
       271:{1,3,5,7}:{(239,1),(240,1),(246,1),(252,1),(290,1),(292,1),(293,1),(311,1)}
       272:{2,3,5,6}:{(240,1),(241,1),(253,1),(291,1),(293,1),(298,1)}
       273:{2,4,6}:{(242,1),(243,1),(289,1),(294,1),(295,1)}
       274:{1,4,5}:{(243,1),(244,1),(246,1),(295,1)}
       275:{2,5}:{(245,1),(246,1)}
       276:{2,3,7}:{(247,1),(254,1),(296,1)}
       277:{1,3,4,7}:{(247,1),(248,1),(249,1),(255,1),(296,1),(297,1)}
       278:{2,3,5,7}:{(248,1),(250,1),(256,1),(297,1),(298,1),(301,1),(311,1)}
       279:{1,4,5,7}:{(249,1),(250,1),(252,1),(257,1),(297,1),(299,1)}
       280:{2,4,6}:{(250,1),(251,1),(253,1),(298,1),(299,1),(313,1)}
       281:{1,5,6}:{(252,1),(253,1),(299,1)}
       282:{2,4,6}:{(254,1),(255,1),(258,1),(296,1),(300,1),(313,1)}
       283:{1,3,5}:{(255,1),(256,1),(257,1),(300,1)}
       284:{3,4,7}:{(259,1),(264,1),(301,1)}
       285:{2,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(301,1),(302,1)}
       286:{1,4,6}:{(260,1),(261,1),(263,1),(302,1)}
       287:{2,5,6}:{(262,1),(263,1),(302,1),(313,1)}
       288:{3,5}:{(264,1),(265,1)}
       289:{2,4,7}:{(266,1),(267,1),(273,1),(303,1)}
       290:{1,4,5,7}:{(267,1),(268,1),(271,1),(274,1),(304,1),(305,1)}
       291:{2,4,6}:{(268,1),(269,1),(272,1),(305,1)}
       292:{2,5,7}:{(270,1),(271,1),(275,1),(306,1)}
       293:{1,3,5,6}:{(271,1),(272,1),(281,1),(305,1),(306,1),(309,1),(314,1)}
       294:{3,4,6}:{(273,1),(303,1),(307,1),(314,1)}
       295:{2,4,5}:{(273,1),(274,1),(275,1),(307,1)}
       296:{2,4,7}:{(276,1),(277,1),(282,1),(308,1)}
       297:{1,3,5,7}:{(277,1),(278,1),(279,1),(283,1),(308,1),(309,1)}
       298:{2,3,6}:{(278,1),(280,1),(309,1),(310,1),(314,1)}
       299:{1,4,6}:{(279,1),(280,1),(281,1),(309,1)}
       300:{2,5}:{(282,1),(283,1)}
       301:{3,5,7}:{(284,1),(285,1),(288,1),(310,1)}
       302:{2,4,6}:{(285,1),(286,1),(287,1),(310,1)}
       303:{3,4,7}:{(289,1),(294,1),(311,1)}
       304:{2,4,5,7}:{(289,1),(290,1),(292,1),(295,1),(311,1),(312,1)}
       305:{1,4,6}:{(290,1),(291,1),(293,1),(312,1)}
       306:{2,5,6}:{(292,1),(293,1),(312,1),(313,1)}
       307:{3,5}:{(294,1),(295,1)}
       308:{2,5,7}:{(296,1),(297,1),(300,1),(313,1)}
       309:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{2,4,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

1576 :   0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(20,1),(22,1),(64,1),(139,1),(153,1),(154,1),(158,1),(159,1),(217,1),(226,1),(230,1)}
         1:{1,2,4,5,7}:{(5,1),(6,1),(9,1),(29,1),(33,1),(34,1),(46,1),(90,1),(99,1),(100,1),(102,1),(103,1),(181,1),(186,1),(192,1),(196,1),(235,1),(239,1),(249,1),(290,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(34,1),(42,1),(46,1),(102,1),(111,1),(117,1),(192,1),(196,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(47,1),(119,1),(120,1),(179,1),(198,1),(245,1)}
         4:{1,3,4,5,7}:{(12,1),(13,1),(15,1),(52,1),(54,1),(64,1),(139,1),(204,1),(205,1),(209,1),(210,1),(217,1),(262,1),(266,1)}
         5:{1,3,5,7}:{(1,1),(15,1),(16,1),(17,1),(64,1),(143,1),(217,1),(220,1),(226,1),(230,1),(262,1),(266,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(18,1),(24,1),(56,1),(63,1),(68,1),(78,1),(131,1),(160,1),(211,1),(215,1),(302,1)}
         7:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(70,1),(71,1),(151,1),(153,1),(154,1),(226,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(77,1),(217,1),(226,1),(230,1),(271,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(62,1),(73,1),(145,1),(153,1),(158,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(78,1)}
        11:{1,3,5,6}:{(3,1),(20,1),(25,1),(26,1),(64,1),(82,1)}
        12:{2,4,5,7}:{(4,1),(28,1),(29,1),(30,1),(34,1),(86,1),(90,1),(102,1),(167,1),(173,1),(235,1),(239,1)}
        13:{1,3,4,6}:{(4,1),(30,1),(31,1),(91,1),(175,1),(176,1),(179,1),(241,1),(245,1)}
        14:{1,2,4,6,7}:{(6,1),(32,1),(33,1),(41,1),(85,1),(95,1),(99,1),(109,1),(165,1),(192,1),(235,1)}
        15:{1,3,4,7}:{(5,1),(34,1),(35,1),(99,1),(184,1),(249,1),(257,1),(285,1)}
        16:{2,3,5,7}:{(5,1),(34,1),(36,1),(37,1),(46,1),(90,1),(102,1),(114,1),(170,1),(195,1),(238,1)}
        17:{1,3,6}:{(5,1),(6,1),(37,1),(198,1),(241,1),(245,1)}
        18:{1,2,5,6}:{(6,1),(33,1),(38,1),(49,1),(93,1),(102,1),(118,1),(174,1),(178,1),(186,1),(294,1)}
        19:{2,4,6,7}:{(7,1),(10,1),(40,1),(41,1),(42,1),(109,1),(111,1),(192,1)}
        20:{1,3,5,7}:{(7,1),(11,1),(42,1),(43,1),(113,1)}
        21:{2,3,4,7}:{(8,1),(34,1),(44,1),(45,1),(111,1),(170,1),(184,1),(248,1),(255,1),(257,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(44,1),(46,1),(47,1),(116,1),(290,1)}
        23:{2,3,6}:{(8,1),(10,1),(47,1),(198,1),(245,1),(289,1)}
        24:{1,4,6}:{(9,1),(10,1),(47,1),(49,1)}
        25:{2,5,6}:{(10,1),(11,1),(42,1),(49,1),(102,1)}
        26:{1,4,5,6}:{(11,1),(43,1),(50,1),(103,1),(119,1),(179,1),(200,1)}
        27:{1,3,4,6,7}:{(13,1),(51,1),(52,1),(123,1),(124,1),(202,1),(204,1),(205,1),(262,1)}
        28:{2,3,5,7}:{(12,1),(53,1),(54,1),(55,1),(130,1),(217,1),(262,1),(266,1),(271,1)}
        29:{1,4,5,7}:{(12,1),(54,1),(56,1),(62,1),(126,1),(145,1),(204,1),(209,1)}
        30:{2,4,6}:{(12,1),(13,1),(55,1),(56,1),(57,1),(131,1)}
        31:{1,3,5,6}:{(13,1),(52,1),(57,1),(58,1),(64,1),(135,1)}
        32:{1,3,6,7}:{(14,1),(17,1),(60,1),(61,1),(226,1),(262,1),(302,1)}
        33:{1,2,5,7}:{(14,1),(18,1),(61,1),(73,1),(126,1),(138,1),(152,1),(203,1),(303,1)}
        34:{2,4,7}:{(15,1),(16,1),(62,1),(63,1),(229,1),(265,1)}
        35:{1,3,4,6}:{(15,1),(17,1),(63,1),(64,1),(68,1),(149,1)}
        36:{1,3,5,7}:{(16,1),(62,1),(65,1),(66,1),(143,1),(145,1),(220,1)}
        37:{2,3,6}:{(16,1),(17,1),(63,1),(66,1),(78,1),(131,1)}
        38:{1,3,5,6}:{(17,1),(18,1),(61,1),(64,1),(67,1),(68,1),(220,1),(276,1),(277,1),(302,1)}
        39:{1,3,5,6,7}:{(20,1),(69,1),(70,1),(136,1),(151,1)}
        40:{2,3,6,7}:{(19,1),(23,1),(71,1),(72,1),(151,1),(225,1),(226,1)}
        41:{1,4,6,7}:{(19,1),(24,1),(71,1),(73,1),(153,1)}
        42:{2,5,7}:{(19,1),(20,1),(25,1),(73,1)}
        43:{1,4,5,7}:{(20,1),(26,1),(70,1),(74,1),(153,1),(228,1)}
        44:{1,3,4,7}:{(21,1),(22,1),(62,1),(75,1),(76,1),(143,1),(153,1),(226,1),(273,1),(278,1)}
        45:{2,3,4,6}:{(21,1),(23,1),(63,1),(76,1),(77,1),(80,1),(149,1),(207,1),(224,1),(232,1),(265,1),(279,1)}
        46:{2,5,7}:{(22,1),(75,1),(78,1),(157,1)}
        47:{1,3,6}:{(22,1),(23,1),(24,1),(78,1),(302,1)}
        48:{2,3,5,6}:{(23,1),(25,1),(72,1),(77,1),(79,1),(80,1),(82,1),(162,1),(232,1)}
        49:{1,5,6}:{(24,1),(25,1),(73,1),(145,1)}
        50:{2,4,5,6}:{(25,1),(26,1),(74,1),(80,1),(81,1),(82,1),(146,1),(160,1),(162,1),(215,1)}
        51:{2,4,6,7}:{(27,1),(30,1),(84,1),(85,1),(86,1),(165,1),(167,1),(235,1)}
        52:{1,3,5,7}:{(27,1),(31,1),(86,1),(87,1),(169,1)}
        53:{2,3,4,7}:{(28,1),(34,1),(88,1),(89,1),(114,1),(167,1),(184,1),(248,1),(283,1),(285,1)}
        54:{1,3,5,7}:{(28,1),(29,1),(88,1),(90,1),(91,1),(172,1),(290,1)}
        55:{2,3,6}:{(28,1),(30,1),(91,1),(241,1),(245,1),(289,1)}
        56:{1,4,6}:{(29,1),(30,1),(91,1),(93,1)}
        57:{2,5,6}:{(30,1),(31,1),(86,1),(93,1),(102,1)}
        58:{1,4,5,6}:{(31,1),(87,1),(94,1),(103,1),(175,1),(179,1),(243,1)}
        59:{1,3,4,6,7}:{(32,1),(35,1),(95,1),(96,1),(99,1),(179,1),(184,1),(245,1)}
        60:{2,3,6,7}:{(32,1),(37,1),(95,1),(97,1),(98,1),(109,1),(165,1),(245,1),(289,1)}
        61:{1,3,5,7}:{(32,1),(33,1),(38,1),(98,1),(99,1),(290,1),(291,1)}
        62:{1,4,7}:{(34,1),(36,1),(101,1),(249,1)}
        63:{2,4,6}:{(34,1),(35,1),(37,1),(101,1),(102,1)}
        64:{1,3,5}:{(35,1),(102,1),(103,1),(188,1)}
        65:{1,2,5,7}:{(36,1),(46,1),(90,1),(100,1),(104,1),(186,1),(290,1)}
        66:{1,3,6}:{(36,1),(37,1),(101,1),(104,1)}
        67:{2,3,5,6}:{(37,1),(38,1),(98,1),(102,1),(105,1),(106,1),(118,1),(174,1),(178,1),(188,1),(195,1),(198,1),(238,1),(241,1),(245,1),(251,1),(252,1),(289,1)}
        68:{1,4,6}:{(38,1),(99,1),(103,1),(106,1),(249,1)}
        69:{2,5,6,7}:{(39,1),(42,1),(107,1),(108,1),(178,1)}
        70:{1,4,6,7}:{(39,1),(43,1),(108,1),(179,1),(254,1)}
        71:{1,3,6,7}:{(40,1),(41,1),(47,1),(109,1),(110,1),(254,1)}
        72:{2,3,5,7}:{(40,1),(42,1),(48,1),(110,1),(111,1),(113,1),(194,1),(255,1)}
        73:{1,5,7}:{(41,1),(42,1),(49,1)}
        74:{2,4,5,7}:{(42,1),(43,1),(50,1),(108,1),(111,1),(112,1),(113,1),(192,1),(194,1)}
        75:{2,4,7}:{(44,1),(46,1),(114,1),(115,1),(295,1)}
        76:{1,3,4,6}:{(44,1),(45,1),(47,1),(101,1),(115,1),(116,1),(119,1),(185,1),(198,1),(249,1),(253,1),(257,1),(260,1),(296,1)}
        77:{2,3,5}:{(45,1),(102,1),(116,1),(117,1),(188,1),(251,1)}
        78:{2,6}:{(46,1),(47,1)}
        79:{1,3,5,6}:{(47,1),(48,1),(49,1),(110,1),(116,1),(118,1),(119,1),(198,1),(200,1),(260,1)}
        80:{2,4,6}:{(48,1),(111,1),(117,1),(119,1),(120,1)}
        81:{1,4,5,6}:{(49,1),(50,1),(112,1),(119,1),(121,1),(187,1),(244,1)}
        82:{3,5,6}:{(50,1),(113,1),(120,1),(188,1),(198,1),(245,1)}
        83:{1,3,5,6,7}:{(52,1),(122,1),(123,1),(136,1),(202,1)}
        84:{2,3,6,7}:{(51,1),(55,1),(124,1),(125,1),(202,1),(261,1),(262,1)}
        85:{1,4,6,7}:{(51,1),(56,1),(124,1),(126,1),(204,1)}
        86:{2,5,7}:{(51,1),(52,1),(57,1),(126,1)}
        87:{1,4,5,7}:{(52,1),(58,1),(123,1),(127,1),(204,1),(264,1)}
        88:{1,3,4,7}:{(53,1),(54,1),(62,1),(128,1),(129,1),(143,1),(204,1),(262,1),(273,1),(298,1)}
        89:{2,3,4,6}:{(53,1),(55,1),(63,1),(129,1),(130,1),(133,1),(149,1),(156,1),(224,1),(229,1),(268,1),(299,1)}
        90:{2,5,7}:{(54,1),(128,1),(131,1),(208,1)}
        91:{1,3,6}:{(54,1),(55,1),(56,1),(131,1),(302,1)}
        92:{2,3,5,6}:{(55,1),(57,1),(125,1),(130,1),(132,1),(133,1),(135,1),(213,1),(268,1)}
        93:{1,5,6}:{(56,1),(57,1),(126,1),(145,1)}
        94:{2,4,5,6}:{(57,1),(58,1),(127,1),(133,1),(134,1),(135,1),(146,1),(211,1),(213,1),(215,1)}
        95:{2,4,6,7}:{(59,1),(60,1),(63,1),(137,1),(138,1),(142,1),(215,1)}
        96:{1,3,5,7}:{(59,1),(64,1),(136,1),(138,1),(139,1),(217,1)}
        97:{1,3,6,7}:{(60,1),(66,1),(137,1),(140,1),(141,1),(270,1)}
        98:{2,3,5,7}:{(60,1),(61,1),(67,1),(138,1),(141,1),(142,1),(152,1),(203,1),(217,1),(226,1),(262,1),(271,1),(272,1)}
        99:{1,4,7}:{(61,1),(68,1),(142,1)}
       100:{1,2,4,7}:{(62,1),(65,1),(75,1),(128,1),(143,1),(144,1),(273,1),(303,1)}
       101:{1,4,6}:{(62,1),(63,1),(66,1),(145,1)}
       102:{2,5}:{(63,1),(64,1),(145,1)}
       103:{1,4,5}:{(64,1),(68,1),(146,1),(276,1)}
       104:{1,2,6}:{(65,1),(66,1),(78,1),(131,1),(302,1)}
       105:{1,3,5,6}:{(66,1),(67,1),(141,1),(145,1),(147,1),(148,1),(214,1),(220,1),(222,1),(223,1),(270,1)}
       106:{2,4,6}:{(67,1),(68,1),(142,1),(146,1),(148,1),(149,1),(229,1),(265,1)}
       107:{1,5,6,7}:{(69,1),(73,1),(150,1),(214,1)}
       108:{2,4,6,7}:{(69,1),(70,1),(74,1),(150,1),(151,1),(215,1),(225,1)}
       109:{2,6,7}:{(71,1),(78,1),(152,1)}
       110:{1,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(152,1),(153,1),(226,1),(228,1),(278,1)}
       111:{2,4,7}:{(72,1),(80,1),(153,1),(154,1)}
       112:{1,4,5,7}:{(73,1),(74,1),(81,1),(150,1),(153,1),(155,1)}
       113:{3,5,7}:{(74,1),(82,1),(151,1),(154,1),(226,1)}
       114:{2,3,7}:{(75,1),(143,1),(156,1),(226,1)}
       115:{2,4,6}:{(75,1),(76,1),(78,1),(156,1),(157,1),(229,1),(281,1),(306,1)}
       116:{1,3,5}:{(76,1),(77,1),(145,1),(157,1),(158,1),(230,1),(276,1)}
       117:{2,4,5}:{(77,1),(80,1),(158,1),(159,1),(265,1)}
       118:{2,5,6}:{(78,1),(79,1),(152,1),(157,1),(160,1),(281,1)}
       119:{1,4,6}:{(79,1),(80,1),(153,1),(158,1),(160,1)}
       120:{3,4,6}:{(80,1),(82,1),(154,1),(159,1)}
       121:{1,3,5,6}:{(81,1),(82,1),(155,1),(161,1),(162,1),(222,1),(270,1)}
       122:{2,5,6,7}:{(83,1),(86,1),(163,1),(164,1),(178,1)}
       123:{1,4,6,7}:{(83,1),(87,1),(164,1),(179,1),(282,1)}
       124:{1,3,6,7}:{(84,1),(85,1),(91,1),(165,1),(166,1),(282,1)}
       125:{2,3,5,7}:{(84,1),(86,1),(92,1),(166,1),(167,1),(169,1),(237,1),(283,1)}
       126:{1,5,7}:{(85,1),(86,1),(93,1)}
       127:{2,4,5,7}:{(86,1),(87,1),(94,1),(164,1),(167,1),(168,1),(169,1),(235,1),(237,1)}
       128:{2,4,7}:{(88,1),(90,1),(170,1),(171,1),(307,1)}
       129:{1,3,4,6}:{(88,1),(89,1),(91,1),(101,1),(171,1),(172,1),(175,1),(185,1),(241,1),(249,1),(253,1),(285,1),(288,1),(308,1)}
       130:{2,3,5}:{(89,1),(102,1),(172,1),(173,1),(188,1),(251,1)}
       131:{2,6}:{(90,1),(91,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(93,1),(166,1),(172,1),(174,1),(175,1),(241,1),(243,1),(288,1)}
       133:{2,4,6}:{(92,1),(167,1),(173,1),(175,1),(176,1)}
       134:{1,4,5,6}:{(93,1),(94,1),(168,1),(175,1),(177,1),(187,1),(244,1)}
       135:{3,5,6}:{(94,1),(169,1),(176,1),(188,1),(241,1),(245,1)}
       136:{1,3,5,6}:{(96,1),(178,1),(179,1),(245,1)}
       137:{1,4,6,7}:{(95,1),(97,1),(101,1),(180,1),(183,1),(244,1)}
       138:{2,5,7}:{(95,1),(96,1),(102,1),(178,1),(180,1)}
       139:{1,4,5,7}:{(96,1),(99,1),(103,1),(179,1),(181,1),(290,1)}
       140:{1,2,6,7}:{(97,1),(104,1),(109,1),(165,1),(182,1),(254,1),(282,1),(289,1)}
       141:{1,3,5,7}:{(97,1),(98,1),(105,1),(180,1),(182,1),(183,1),(247,1)}
       142:{2,4,7}:{(98,1),(99,1),(106,1),(183,1),(184,1)}
       143:{1,3,7}:{(100,1),(114,1),(170,1),(185,1)}
       144:{1,2,4,6}:{(100,1),(101,1),(104,1),(115,1),(171,1),(185,1),(186,1),(249,1),(253,1),(294,1),(310,1)}
       145:{1,5}:{(101,1),(102,1)}
       146:{2,4,5}:{(102,1),(103,1),(106,1),(187,1),(188,1),(251,1)}
       147:{1,2,5,6}:{(104,1),(105,1),(118,1),(174,1),(182,1),(186,1),(189,1),(200,1),(243,1),(251,1),(289,1)}
       148:{1,4,6}:{(105,1),(106,1),(183,1),(187,1),(249,1)}
       149:{3,4,6}:{(106,1),(184,1),(188,1),(198,1),(241,1),(245,1),(257,1),(285,1)}
       150:{1,4,6,7}:{(107,1),(108,1),(112,1),(191,1),(244,1)}
       151:{3,6,7}:{(108,1),(113,1),(245,1)}
       152:{2,5,7}:{(109,1),(110,1),(118,1),(192,1),(295,1)}
       153:{1,4,7}:{(110,1),(111,1),(119,1),(192,1)}
       154:{3,4,7}:{(111,1),(113,1),(120,1)}
       155:{1,3,5,7}:{(112,1),(113,1),(121,1),(191,1),(193,1),(194,1)}
       156:{2,3,6}:{(114,1),(115,1),(185,1),(195,1),(198,1),(311,1)}
       157:{2,5}:{(115,1),(116,1)}
       158:{1,4,5}:{(116,1),(117,1),(119,1),(196,1),(249,1)}
       159:{3,4,5}:{(117,1),(120,1),(188,1),(285,1)}
       160:{2,4,6}:{(118,1),(119,1),(192,1),(196,1),(198,1)}
       161:{1,3,4,6}:{(119,1),(120,1),(121,1),(193,1),(197,1),(198,1),(199,1),(260,1)}
       162:{2,5,6}:{(121,1),(194,1),(199,1),(200,1),(251,1),(289,1)}
       163:{1,5,6,7}:{(122,1),(126,1),(201,1),(214,1)}
       164:{2,4,6,7}:{(122,1),(123,1),(127,1),(201,1),(202,1),(215,1),(261,1)}
       165:{2,6,7}:{(124,1),(131,1),(203,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(203,1),(204,1),(262,1),(264,1),(298,1)}
       167:{2,4,7}:{(125,1),(133,1),(204,1),(205,1)}
       168:{1,4,5,7}:{(126,1),(127,1),(134,1),(201,1),(204,1),(206,1)}
       169:{3,5,7}:{(127,1),(135,1),(202,1),(205,1),(262,1)}
       170:{2,3,7}:{(128,1),(143,1),(207,1),(262,1)}
       171:{2,4,6}:{(128,1),(129,1),(131,1),(207,1),(208,1),(265,1),(301,1),(312,1)}
       172:{1,3,5}:{(129,1),(130,1),(145,1),(208,1),(209,1),(266,1),(276,1)}
       173:{2,4,5}:{(130,1),(133,1),(209,1),(210,1),(229,1)}
       174:{2,5,6}:{(131,1),(132,1),(203,1),(208,1),(211,1),(301,1)}
       175:{1,4,6}:{(132,1),(133,1),(204,1),(209,1),(211,1)}
       176:{3,4,6}:{(133,1),(135,1),(205,1),(210,1)}
       177:{1,3,5,6}:{(134,1),(135,1),(206,1),(212,1),(213,1),(222,1),(270,1)}
       178:{2,5,6}:{(136,1),(138,1),(214,1),(215,1)}
       179:{1,4,6}:{(136,1),(139,1),(215,1),(302,1)}
       180:{1,5,7}:{(137,1),(138,1),(145,1),(214,1)}
       181:{2,4,5,7}:{(138,1),(139,1),(142,1),(146,1),(215,1),(216,1),(217,1),(271,1)}
       182:{1,2,5,7}:{(140,1),(141,1),(147,1),(152,1),(203,1),(218,1),(228,1),(264,1),(271,1)}
       183:{1,4,7}:{(141,1),(142,1),(148,1)}
       184:{3,4,7}:{(142,1),(149,1),(217,1),(226,1),(262,1)}
       185:{1,3,6}:{(143,1),(144,1),(156,1),(207,1),(220,1),(313,1)}
       186:{1,2,5}:{(144,1),(145,1),(157,1),(208,1),(220,1),(276,1)}
       187:{1,4,5}:{(145,1),(146,1),(148,1),(222,1)}
       188:{3,5}:{(146,1),(149,1)}
       189:{1,2,4,6}:{(147,1),(148,1),(160,1),(211,1),(218,1),(221,1),(223,1),(224,1),(233,1),(269,1),(281,1),(301,1)}
       190:{1,3,4,6}:{(148,1),(149,1),(219,1),(222,1),(223,1),(224,1),(270,1),(274,1)}
       191:{1,3,6,7}:{(150,1),(151,1),(155,1),(225,1),(270,1)}
       192:{2,4,7}:{(152,1),(153,1),(160,1),(226,1)}
       193:{1,3,4,7}:{(153,1),(154,1),(155,1),(161,1),(226,1),(227,1),(278,1)}
       194:{2,5,7}:{(155,1),(162,1),(225,1),(227,1),(228,1)}
       195:{2,3,5}:{(156,1),(157,1),(220,1),(229,1),(230,1)}
       196:{2,4,5}:{(157,1),(158,1),(160,1),(229,1),(230,1)}
       197:{1,3,4,5}:{(158,1),(159,1),(161,1),(222,1),(230,1),(231,1),(274,1),(280,1)}
       198:{3,6}:{(160,1),(226,1),(230,1)}
       199:{2,4,6}:{(161,1),(162,1),(227,1),(231,1),(232,1),(233,1),(281,1)}
       200:{1,5,6}:{(162,1),(228,1),(233,1),(276,1),(302,1)}
       201:{1,4,6,7}:{(163,1),(164,1),(168,1),(234,1),(244,1)}
       202:{3,6,7}:{(164,1),(169,1),(245,1)}
       203:{2,5,7}:{(165,1),(166,1),(174,1),(235,1),(307,1)}
       204:{1,4,7}:{(166,1),(167,1),(175,1),(235,1)}
       205:{3,4,7}:{(167,1),(169,1),(176,1)}
       206:{1,3,5,7}:{(168,1),(169,1),(177,1),(234,1),(236,1),(237,1)}
       207:{2,3,6}:{(170,1),(171,1),(185,1),(238,1),(241,1),(314,1)}
       208:{2,5}:{(171,1),(172,1)}
       209:{1,4,5}:{(172,1),(173,1),(175,1),(239,1),(249,1)}
       210:{3,4,5}:{(173,1),(176,1),(188,1),(257,1)}
       211:{2,4,6}:{(174,1),(175,1),(235,1),(239,1),(241,1)}
       212:{1,3,4,6}:{(175,1),(176,1),(177,1),(236,1),(240,1),(241,1),(242,1),(288,1)}
       213:{2,5,6}:{(177,1),(237,1),(242,1),(243,1),(251,1),(289,1)}
       214:{1,5,6}:{(178,1),(180,1),(244,1)}
       215:{2,4,6}:{(178,1),(179,1),(181,1),(244,1),(245,1),(289,1)}
       216:{1,4,5,7}:{(180,1),(181,1),(183,1),(187,1),(244,1),(246,1)}
       217:{3,5,7}:{(181,1),(184,1),(188,1),(245,1)}
       218:{1,2,4,7}:{(182,1),(183,1),(189,1),(192,1),(235,1),(247,1),(248,1),(256,1),(284,1),(295,1),(307,1)}
       219:{1,3,4,7}:{(183,1),(184,1),(190,1),(246,1),(247,1),(248,1)}
       220:{1,3,5}:{(185,1),(186,1),(195,1),(238,1),(249,1)}
       221:{1,2,4,5}:{(186,1),(187,1),(189,1),(196,1),(239,1),(249,1),(250,1),(251,1),(259,1),(287,1),(292,1),(297,1),(309,1),(310,1)}
       222:{1,3,5}:{(187,1),(188,1),(190,1),(251,1)}
       223:{1,3,6}:{(189,1),(198,1),(241,1),(247,1),(250,1),(252,1)}
       224:{2,4,6}:{(190,1),(248,1),(251,1),(252,1),(253,1),(289,1),(292,1)}
       225:{2,6,7}:{(191,1),(194,1),(254,1),(289,1)}
       226:{3,7}:{(192,1),(198,1)}
       227:{2,4,7}:{(193,1),(194,1),(199,1),(255,1),(256,1),(295,1)}
       228:{1,5,7}:{(194,1),(200,1),(254,1),(256,1)}
       229:{2,4}:{(195,1),(249,1),(257,1)}
       230:{3,5}:{(196,1),(198,1),(257,1)}
       231:{2,4,5}:{(197,1),(199,1),(251,1),(258,1),(259,1),(292,1),(297,1)}
       232:{2,3,6}:{(198,1),(199,1),(255,1),(258,1),(260,1)}
       233:{1,4,6}:{(199,1),(200,1),(256,1),(259,1),(260,1)}
       234:{1,3,6,7}:{(201,1),(202,1),(206,1),(261,1),(270,1)}
       235:{2,4,7}:{(203,1),(204,1),(211,1),(262,1)}
       236:{1,3,4,7}:{(204,1),(205,1),(206,1),(212,1),(262,1),(263,1),(298,1)}
       237:{2,5,7}:{(206,1),(213,1),(261,1),(263,1),(264,1)}
       238:{2,3,5}:{(207,1),(208,1),(220,1),(265,1),(266,1)}
       239:{2,4,5}:{(208,1),(209,1),(211,1),(265,1),(266,1)}
       240:{1,3,4,5}:{(209,1),(210,1),(212,1),(222,1),(266,1),(267,1),(274,1),(300,1)}
       241:{3,6}:{(211,1),(262,1),(266,1)}
       242:{2,4,6}:{(212,1),(213,1),(263,1),(267,1),(268,1),(269,1),(301,1)}
       243:{1,5,6}:{(213,1),(264,1),(269,1),(276,1),(302,1)}
       244:{1,4,6}:{(214,1),(215,1),(216,1),(270,1)}
       245:{3,6}:{(215,1),(217,1)}
       246:{1,3,5,7}:{(216,1),(217,1),(219,1),(222,1),(270,1),(271,1)}
       247:{1,3,7}:{(218,1),(223,1),(226,1),(262,1),(272,1)}
       248:{2,4,7}:{(219,1),(224,1),(271,1),(272,1),(273,1)}
       249:{1,4}:{(220,1),(229,1),(265,1)}
       250:{1,3,5}:{(221,1),(223,1),(230,1),(266,1),(274,1),(275,1),(313,1)}
       251:{2,5}:{(222,1),(224,1),(276,1)}
       252:{2,3,6}:{(223,1),(224,1),(272,1),(275,1),(277,1),(281,1),(301,1)}
       253:{1,4,6}:{(224,1),(273,1),(276,1),(277,1),(302,1),(304,1)}
       254:{1,6,7}:{(225,1),(228,1),(302,1)}
       255:{2,3,7}:{(226,1),(227,1),(232,1),(278,1)}
       256:{1,4,7}:{(227,1),(228,1),(233,1),(278,1)}
       257:{3,4}:{(229,1),(230,1)}
       258:{2,3,5}:{(230,1),(231,1),(232,1),(279,1),(280,1)}
       259:{1,4,5}:{(231,1),(233,1),(276,1),(280,1),(304,1)}
       260:{1,3,6}:{(232,1),(233,1),(278,1),(280,1),(281,1)}
       261:{2,6,7}:{(234,1),(237,1),(282,1),(289,1)}
       262:{3,7}:{(235,1),(241,1)}
       263:{2,4,7}:{(236,1),(237,1),(242,1),(283,1),(284,1),(307,1)}
       264:{1,5,7}:{(237,1),(243,1),(282,1),(284,1)}
       265:{2,4}:{(238,1),(249,1),(285,1)}
       266:{3,5}:{(239,1),(241,1),(285,1)}
       267:{2,4,5}:{(240,1),(242,1),(251,1),(286,1),(287,1),(292,1),(309,1)}
       268:{2,3,6}:{(241,1),(242,1),(283,1),(286,1),(288,1)}
       269:{1,4,6}:{(242,1),(243,1),(284,1),(287,1),(288,1)}
       270:{1,3,6}:{(244,1),(245,1),(246,1),(289,1)}
       271:{2,5,7}:{(246,1),(248,1),(251,1),(289,1),(290,1)}
       272:{2,3,7}:{(247,1),(248,1),(252,1),(291,1),(295,1),(307,1)}
       273:{1,4,7}:{(248,1),(253,1),(290,1),(291,1)}
       274:{1,3,4}:{(249,1),(250,1),(257,1),(285,1),(292,1)}
       275:{2,3,5}:{(250,1),(251,1),(252,1),(292,1),(293,1),(297,1),(309,1),(311,1),(314,1)}
       276:{1,5}:{(251,1),(253,1)}
       277:{1,3,6}:{(252,1),(253,1),(291,1),(293,1),(294,1)}
       278:{1,3,7}:{(255,1),(256,1),(260,1),(295,1)}
       279:{2,3,4}:{(257,1),(258,1),(292,1),(296,1),(314,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(296,1),(297,1)}
       281:{2,6}:{(260,1),(295,1),(297,1)}
       282:{1,6,7}:{(261,1),(264,1),(302,1)}
       283:{2,3,7}:{(262,1),(263,1),(268,1),(298,1)}
       284:{1,4,7}:{(263,1),(264,1),(269,1),(298,1)}
       285:{3,4}:{(265,1),(266,1)}
       286:{2,3,5}:{(266,1),(267,1),(268,1),(299,1),(300,1)}
       287:{1,4,5}:{(267,1),(269,1),(276,1),(300,1),(304,1)}
       288:{1,3,6}:{(268,1),(269,1),(298,1),(300,1),(301,1)}
       289:{2,6}:{(270,1),(271,1),(302,1)}
       290:{1,5,7}:{(271,1),(273,1),(276,1),(302,1)}
       291:{1,3,7}:{(272,1),(273,1),(277,1),(303,1)}
       292:{2,4}:{(274,1),(275,1),(304,1)}
       293:{1,3,5}:{(275,1),(276,1),(277,1),(304,1),(305,1),(313,1)}
       294:{1,2,6}:{(277,1),(281,1),(301,1),(303,1),(305,1)}
       295:{2,7}:{(278,1),(281,1)}
       296:{1,3,4}:{(279,1),(280,1),(304,1),(306,1),(313,1)}
       297:{2,5}:{(280,1),(281,1),(306,1)}
       298:{1,3,7}:{(283,1),(284,1),(288,1),(307,1)}
       299:{2,3,4}:{(285,1),(286,1),(292,1),(308,1),(311,1)}
       300:{1,3,5}:{(286,1),(287,1),(288,1),(308,1),(309,1)}
       301:{2,6}:{(288,1),(307,1),(309,1)}
       302:{1,6}:{(289,1),(290,1)}
       303:{1,2,7}:{(291,1),(294,1),(295,1),(307,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(294,1),(297,1),(309,1),(310,1)}
       306:{2,4}:{(296,1),(297,1),(311,1)}
       307:{2,7}:{(298,1),(301,1)}
       308:{1,3,4}:{(299,1),(300,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

1577 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1578 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1579 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1580 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1581 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1582 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1583 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1584 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1585 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1586 :   0:{2,3,4,6,7}:{(1,1),(2,1),(18,1),(23,1),(42,1),(62,1),(93,1),(106,1),(108,1),(149,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(28,1),(33,1),(73,1),(77,1),(79,1),(87,1),(129,1),(135,1),(138,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(40,1),(86,1),(174,1),(182,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(40,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(14,1),(46,1),(52,1),(91,1),(105,1),(147,1),(150,1),(152,1),(157,1),(241,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(52,1),(53,1),(157,1),(164,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(54,1),(115,1),(156,1),(204,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(58,1),(108,1),(110,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(93,1),(148,1)}
         9:{1,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(18,1),(21,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(24,1),(25,1),(28,1),(68,1),(73,1),(121,1),(123,1),(129,1),(173,1),(176,1),(179,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(119,1),(133,1),(172,1),(182,1)}
        13:{1,2,4,6,7}:{(5,1),(24,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{2,3,6,7}:{(5,1),(28,1),(30,1),(79,1),(131,1),(189,1),(214,1)}
        15:{2,5,7}:{(5,1),(6,1),(31,1),(182,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(31,1),(33,1),(79,1),(138,1),(140,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(73,1),(128,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{3,4,5,7}:{(8,1),(36,1),(40,1),(121,1),(174,1)}
        20:{2,5,6,7}:{(9,1),(31,1),(37,1),(86,1),(143,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(33,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(10,1),(35,1),(38,1),(40,1),(86,1),(192,1)}
        23:{3,4,6,7}:{(10,1),(36,1),(40,1)}
        24:{2,4,6,7}:{(11,1),(42,1),(43,1),(93,1),(94,1),(157,1),(200,1),(203,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(43,1),(44,1),(45,1),(95,1),(156,1),(196,1),(204,1)}
        26:{2,3,5,6}:{(12,1),(44,1),(46,1),(99,1),(152,1),(154,1)}
        27:{2,4,5,7}:{(12,1),(45,1),(46,1),(47,1),(52,1),(104,1)}
        28:{1,3,6,7}:{(13,1),(14,1),(42,1),(48,1),(102,1),(159,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(115,1),(169,1),(196,1),(204,1),(227,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(48,1),(51,1),(52,1),(54,1),(227,1),(241,1)}
        31:{2,5,6}:{(15,1),(16,1),(53,1),(167,1)}
        32:{2,4,5,7}:{(15,1),(17,1),(52,1),(53,1),(54,1),(104,1)}
        33:{1,4,6}:{(16,1),(17,1),(18,1),(53,1)}
        34:{1,3,4,5,7}:{(17,1),(19,1),(54,1),(56,1),(57,1),(61,1),(101,1),(109,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        35:{2,4,5,6}:{(18,1),(22,1),(55,1),(58,1),(110,1),(148,1),(210,1)}
        36:{3,4,6}:{(18,1),(19,1),(58,1)}
        37:{2,4,6,7}:{(20,1),(21,1),(53,1),(59,1),(60,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(55,1),(59,1),(61,1),(115,1),(168,1)}
        39:{1,3,4,6,7}:{(21,1),(23,1),(56,1),(60,1),(61,1),(62,1),(112,1),(114,1),(168,1),(211,1)}
        40:{3,5,7}:{(22,1),(23,1),(58,1),(211,1)}
        41:{2,3,5,6,7}:{(26,1),(63,1),(64,1),(119,1),(171,1),(172,1)}
        42:{2,3,6,7}:{(24,1),(28,1),(65,1),(123,1),(131,1),(143,1),(218,1)}
        43:{2,5,7}:{(24,1),(25,1),(66,1),(182,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(66,1),(68,1),(123,1),(179,1),(181,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(67,1),(68,1),(73,1),(128,1)}
        46:{2,4,6}:{(26,1),(27,1),(68,1),(71,1)}
        47:{3,4,5,7}:{(27,1),(71,1),(77,1),(119,1),(133,1)}
        48:{1,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(72,1),(73,1)}
        49:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(74,1),(140,1),(181,1),(182,1),(185,1),(191,1),(220,1),(221,1)}
        50:{1,2,4,5,7}:{(29,1),(32,1),(67,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(130,1),(139,1),(180,1),(182,1),(184,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(72,1),(76,1),(79,1),(131,1),(133,1),(182,1),(220,1),(237,1),(238,1)}
        52:{2,4,7}:{(30,1),(73,1),(76,1),(77,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(77,1),(79,1),(133,1)}
        55:{1,4,5,6}:{(33,1),(35,1),(38,1),(78,1),(81,1),(128,1),(140,1),(190,1)}
        56:{1,3,4,6}:{(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(136,1),(138,1),(190,1),(225,1)}
        57:{2,4,5,7}:{(34,1),(80,1),(82,1),(83,1),(86,1),(130,1),(139,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        58:{3,5,6}:{(35,1),(36,1),(40,1),(174,1),(225,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(78,1),(84,1),(86,1),(141,1)}
        60:{3,6,7}:{(37,1),(79,1),(84,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(40,1),(81,1),(84,1),(86,1)}
        62:{2,4,6,7}:{(39,1),(82,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(88,1),(89,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(46,1),(89,1),(90,1),(91,1)}
        65:{2,3,5,7}:{(42,1),(43,1),(48,1),(92,1),(93,1),(95,1),(169,1),(211,1)}
        66:{2,5,6}:{(43,1),(44,1),(94,1),(203,1)}
        67:{2,4,5,7}:{(43,1),(45,1),(93,1),(94,1),(95,1),(148,1)}
        68:{1,4,6}:{(44,1),(45,1),(46,1),(94,1)}
        69:{1,3,4,5,7}:{(45,1),(47,1),(95,1),(97,1),(98,1),(101,1),(146,1),(153,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        70:{2,4,5,6}:{(46,1),(90,1),(96,1),(99,1),(104,1),(154,1),(231,1)}
        71:{3,4,6}:{(46,1),(47,1),(99,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(51,1),(92,1),(100,1),(102,1),(156,1),(159,1),(204,1),(232,1)}
        73:{1,4,7}:{(48,1),(52,1),(93,1),(100,1)}
        74:{1,2,4,6}:{(49,1),(50,1),(53,1),(94,1),(100,1),(102,1),(111,1),(155,1),(157,1),(167,1),(203,1),(210,1),(231,1)}
        75:{1,3,5,7}:{(50,1),(54,1),(95,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,6}:{(51,1),(52,1),(100,1),(104,1),(105,1),(243,1)}
        77:{3,4,7}:{(52,1),(54,1),(105,1),(241,1)}
        78:{2,4,5,6}:{(53,1),(55,1),(59,1),(104,1),(107,1),(110,1),(165,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{2,3,5,7}:{(54,1),(57,1),(106,1),(108,1),(109,1),(162,1),(211,1),(233,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(58,1),(61,1),(107,1),(110,1),(156,1)}
        82:{2,4,6}:{(56,1),(57,1),(108,1),(110,1),(111,1),(167,1)}
        83:{1,4,5,7}:{(57,1),(109,1),(111,1),(115,1),(158,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(60,1),(107,1),(112,1)}
        85:{2,3,6,7}:{(60,1),(62,1),(108,1),(113,1),(114,1),(211,1)}
        86:{2,5,7}:{(61,1),(62,1),(110,1),(115,1)}
        87:{1,4,6,7}:{(62,1),(111,1),(114,1),(115,1),(168,1)}
        88:{2,5,6,7}:{(63,1),(66,1),(116,1),(172,1),(214,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(68,1),(116,1),(117,1)}
        90:{2,4,5,7}:{(64,1),(70,1),(117,1),(119,1),(172,1),(235,1)}
        91:{3,4,6,7}:{(64,1),(71,1),(119,1)}
        92:{2,3,5,6}:{(65,1),(66,1),(72,1),(120,1),(123,1),(131,1),(174,1),(182,1),(191,1),(224,1),(225,1)}
        93:{2,4,7}:{(65,1),(73,1),(120,1),(121,1)}
        94:{2,4,6}:{(66,1),(67,1),(68,1),(123,1)}
        95:{3,5,7}:{(67,1),(121,1),(123,1),(174,1)}
        96:{1,4,5,6}:{(68,1),(70,1),(117,1),(122,1),(125,1),(128,1),(181,1),(219,1)}
        97:{1,3,4,6}:{(68,1),(69,1),(71,1),(123,1),(125,1),(126,1),(177,1),(179,1),(219,1),(238,1)}
        98:{2,4,5,7}:{(69,1),(124,1),(126,1),(127,1),(130,1),(172,1),(180,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
        99:{3,5,6}:{(70,1),(71,1),(119,1),(133,1),(238,1)}
       100:{1,4,6}:{(72,1),(73,1),(76,1),(120,1),(128,1),(239,1)}
       101:{1,3,4,7}:{(73,1),(75,1),(77,1),(121,1),(129,1),(130,1),(239,1),(240,1),(244,1)}
       102:{1,3,6}:{(74,1),(75,1),(79,1),(123,1),(131,1),(225,1),(238,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(139,1),(180,1),(182,1),(189,1),(218,1),(224,1),(237,1)}
       104:{2,4,5}:{(76,1),(128,1),(133,1),(182,1)}
       105:{3,4,6}:{(76,1),(77,1),(79,1),(133,1),(238,1),(244,1)}
       106:{2,3,4,7}:{(77,1),(80,1),(130,1),(134,1),(135,1),(141,1),(218,1),(240,1)}
       107:{3,5,6}:{(78,1),(79,1),(84,1),(133,1),(136,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(225,1)}
       109:{1,3,5,7}:{(80,1),(83,1),(135,1),(138,1),(139,1),(187,1)}
       110:{2,5,6}:{(81,1),(82,1),(86,1),(140,1),(182,1)}
       111:{1,4,6}:{(82,1),(83,1),(138,1),(140,1)}
       112:{3,4,7}:{(84,1),(136,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(137,1),(141,1),(142,1)}
       114:{1,3,6,7}:{(85,1),(87,1),(138,1),(142,1),(143,1)}
       115:{1,5,7}:{(86,1),(87,1),(140,1)}
       116:{2,4,6,7}:{(88,1),(89,1),(94,1),(144,1),(145,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(96,1),(144,1),(146,1),(196,1),(226,1)}
       118:{1,3,4,6,7}:{(89,1),(91,1),(97,1),(145,1),(146,1),(147,1),(193,1),(195,1),(226,1),(241,1)}
       119:{3,5,7}:{(90,1),(91,1),(99,1),(241,1)}
       120:{2,4,6}:{(92,1),(93,1),(100,1),(148,1),(149,1),(234,1)}
       121:{3,4,7}:{(93,1),(95,1),(149,1),(211,1)}
       122:{2,4,5,6}:{(94,1),(96,1),(144,1),(148,1),(151,1),(154,1),(201,1)}
       123:{3,6}:{(94,1),(95,1)}
       124:{2,3,5,7}:{(95,1),(98,1),(150,1),(152,1),(153,1),(198,1),(241,1),(242,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(151,1),(154,1),(156,1)}
       126:{2,4,6}:{(97,1),(98,1),(152,1),(154,1),(155,1),(203,1)}
       127:{1,4,5,7}:{(98,1),(153,1),(155,1),(158,1),(196,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(104,1),(148,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(105,1),(149,1),(156,1),(157,1)}
       130:{2,4,7}:{(101,1),(103,1),(157,1),(158,1),(234,1),(243,1)}
       131:{2,3,6}:{(102,1),(103,1),(157,1),(159,1),(167,1),(203,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,5}:{(104,1),(105,1)}
       134:{2,3,4,6}:{(105,1),(106,1),(108,1),(157,1),(162,1),(163,1),(165,1),(230,1),(243,1)}
       135:{1,3,4,7}:{(106,1),(109,1),(158,1),(163,1),(164,1),(168,1),(206,1),(211,1)}
       136:{3,4,6}:{(107,1),(112,1),(161,1),(165,1)}
       137:{2,3,5,6}:{(107,1),(108,1),(110,1),(113,1),(162,1),(165,1),(166,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(167,1)}
       139:{2,5,7}:{(109,1),(164,1),(167,1),(208,1)}
       140:{1,5,6}:{(110,1),(111,1),(115,1),(204,1)}
       141:{2,4,7}:{(112,1),(113,1),(165,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(166,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(114,1),(167,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(117,1),(122,1),(170,1),(172,1),(212,1)}
       145:{3,6,7}:{(116,1),(123,1),(170,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(119,1),(125,1),(170,1),(172,1)}
       147:{2,4,6,7}:{(118,1),(126,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{2,4,5}:{(120,1),(128,1),(174,1),(182,1)}
       149:{3,4,6}:{(120,1),(121,1),(123,1),(174,1),(225,1),(240,1)}
       150:{2,3,4,7}:{(121,1),(124,1),(130,1),(175,1),(176,1),(189,1),(212,1),(244,1)}
       151:{3,5,6}:{(122,1),(123,1),(170,1),(174,1),(177,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(238,1)}
       153:{1,3,5,7}:{(124,1),(127,1),(176,1),(179,1),(180,1),(216,1)}
       154:{2,5,6}:{(125,1),(126,1),(172,1),(181,1),(182,1)}
       155:{1,4,6}:{(126,1),(127,1),(179,1),(181,1)}
       156:{1,3,5}:{(128,1),(129,1),(133,1),(174,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,4,7}:{(130,1),(132,1),(183,1),(239,1)}
       159:{1,3,6}:{(131,1),(132,1),(183,1),(185,1)}
       160:{1,2,5,7}:{(132,1),(139,1),(180,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,3,5}:{(133,1),(134,1),(182,1),(186,1),(187,1)}
       163:{1,3,4,6}:{(134,1),(135,1),(138,1),(183,1),(187,1),(188,1),(190,1),(222,1),(225,1),(239,1),(240,1)}
       164:{2,4,7}:{(135,1),(139,1),(188,1),(189,1)}
       165:{2,4,6}:{(136,1),(137,1),(141,1),(186,1),(190,1)}
       166:{1,3,5,6}:{(137,1),(138,1),(140,1),(142,1),(187,1),(190,1),(191,1),(225,1)}
       167:{2,6}:{(138,1),(139,1)}
       168:{1,4,7}:{(141,1),(142,1),(190,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(145,1),(151,1),(193,1)}
       171:{2,3,6,7}:{(145,1),(147,1),(152,1),(194,1),(195,1),(241,1)}
       172:{2,5,7}:{(146,1),(147,1),(154,1),(196,1)}
       173:{1,4,6,7}:{(147,1),(155,1),(195,1),(196,1),(226,1)}
       174:{3,5}:{(148,1),(149,1)}
       175:{2,3,4,6}:{(149,1),(150,1),(152,1),(157,1),(198,1),(199,1),(201,1),(209,1),(234,1)}
       176:{1,3,4,7}:{(150,1),(153,1),(158,1),(199,1),(200,1),(206,1),(226,1),(241,1)}
       177:{3,4,6}:{(151,1),(193,1),(197,1),(201,1)}
       178:{2,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(201,1),(202,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(203,1)}
       180:{2,5,7}:{(153,1),(200,1),(203,1),(229,1)}
       181:{1,5,6}:{(154,1),(155,1),(196,1),(204,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,4,7}:{(158,1),(160,1),(164,1),(200,1),(205,1),(206,1)}
       185:{1,2,6}:{(159,1),(160,1),(167,1),(203,1)}
       186:{2,4,5}:{(161,1),(162,1),(165,1),(207,1),(243,1)}
       187:{1,3,5}:{(162,1),(163,1),(204,1),(207,1),(208,1),(233,1)}
       188:{2,4,6}:{(163,1),(164,1),(167,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(206,1),(209,1),(211,1)}
       190:{1,4,6}:{(165,1),(166,1),(168,1),(207,1),(210,1)}
       191:{2,5,6}:{(166,1),(167,1),(169,1),(208,1),(210,1)}
       192:{2,4,7}:{(168,1),(169,1),(210,1),(211,1)}
       193:{3,4,7}:{(170,1),(177,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(178,1),(212,1),(213,1)}
       195:{1,3,6,7}:{(171,1),(173,1),(179,1),(213,1),(214,1)}
       196:{1,5,7}:{(172,1),(173,1),(181,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,3,5}:{(174,1),(175,1),(182,1),(215,1),(216,1)}
       199:{1,3,4,6}:{(175,1),(176,1),(179,1),(183,1),(216,1),(217,1),(219,1),(222,1),(238,1),(239,1),(244,1)}
       200:{2,4,7}:{(176,1),(180,1),(217,1),(218,1)}
       201:{2,4,6}:{(177,1),(178,1),(212,1),(215,1),(219,1)}
       202:{1,3,5,6}:{(178,1),(179,1),(181,1),(213,1),(216,1),(219,1),(220,1),(238,1)}
       203:{2,6}:{(179,1),(180,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(188,1),(217,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(184,1),(189,1),(218,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(222,1),(224,1),(225,1)}
       210:{2,4,6}:{(190,1),(191,1),(192,1),(223,1),(225,1)}
       211:{3,7}:{(192,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(201,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(202,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(195,1),(203,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(201,1),(228,1),(234,1)}
       216:{1,3,5}:{(198,1),(199,1),(204,1),(228,1),(229,1),(242,1)}
       217:{2,4,6}:{(199,1),(200,1),(203,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(206,1),(230,1),(241,1)}
       219:{1,4,6}:{(201,1),(202,1),(226,1),(228,1),(231,1)}
       220:{2,5,6}:{(202,1),(203,1),(227,1),(229,1),(231,1)}
       221:{1,2,5}:{(204,1),(205,1),(208,1),(229,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(209,1),(230,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{2,3,5}:{(208,1),(209,1),(232,1),(233,1),(234,1)}
       225:{3,6}:{(210,1),(211,1),(233,1)}
       226:{1,4,7}:{(212,1),(213,1),(219,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(220,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(219,1),(236,1),(239,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(222,1),(237,1),(238,1)}
       231:{2,4,6}:{(219,1),(220,1),(235,1),(236,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(224,1),(237,1),(239,1)}
       233:{3,5}:{(223,1),(225,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(231,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       237:{2,3,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1587 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(176,1),(179,1),(189,1),(203,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(28,1),(240,1),(241,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(143,1),(160,1),(165,1),(234,1),(247,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(67,1),(136,1),(222,1),(233,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(13,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(45,1),(284,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(120,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(120,1),(208,1),(291,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(45,1),(105,1),(121,1),(279,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(98,1),(176,1),(203,1),(210,1),(263,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(266,1),(278,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(143,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(26,1),(28,1),(66,1),(74,1),(75,1),(143,1),(234,1),(235,1),(240,1),(319,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(28,1)}
        14:{1,2,3,6,7}:{(5,1),(27,1),(29,1),(71,1),(151,1),(236,1),(242,1),(325,1),(326,1),(382,1)}
        15:{1,2,3,5,6}:{(5,1),(28,1),(29,1),(30,1),(72,1),(77,1),(79,1),(150,1),(151,1),(238,1),(241,1),(320,1),(326,1),(383,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(32,1),(34,1),(253,1),(331,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(32,1),(34,1),(85,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(71,1),(92,1),(143,1),(160,1),(167,1),(247,1),(256,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(321,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(305,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(136,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(176,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(16,1),(42,1),(45,1),(47,1),(281,1),(356,1)}
        25:{1,3,4,6}:{(11,1),(13,1),(17,1),(43,1),(45,1),(47,1),(105,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(49,1),(97,1),(105,1),(279,1),(284,1)}
        27:{1,2,4,6,7}:{(13,1),(14,1),(46,1),(50,1),(52,1),(112,1),(197,1),(275,1),(284,1),(360,1)}
        28:{1,2,5}:{(13,1),(47,1)}
        29:{1,2,3,5,7}:{(14,1),(15,1),(50,1),(52,1),(104,1),(113,1),(192,1),(283,1),(356,1),(401,1)}
        30:{1,2,4,6}:{(15,1),(51,1),(52,1),(53,1),(105,1),(186,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(120,1),(123,1),(180,1),(189,1),(264,1)}
        32:{2,3,6}:{(16,1),(18,1),(45,1)}
        33:{2,3,4,6,7}:{(17,1),(46,1),(55,1),(57,1),(115,1),(120,1),(122,1),(194,1),(202,1),(275,1),(397,1),(400,1),(421,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(55,1),(59,1),(120,1),(291,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(105,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(176,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(177,1),(266,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(67,1),(69,1),(313,1),(375,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(67,1),(69,1),(136,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(143,1),(219,1),(224,1),(234,1),(307,1)}
        45:{1,3,6}:{(24,1),(26,1),(32,1),(67,1)}
        46:{1,3,4,6,7}:{(25,1),(27,1),(33,1),(68,1),(71,1),(73,1),(80,1),(143,1),(145,1),(151,1),(154,1),(239,1),(318,1),(382,1),(384,1),(415,1)}
        47:{1,3,5}:{(25,1),(28,1),(34,1),(69,1),(74,1)}
        48:{1,2,4,6,7}:{(26,1),(35,1),(71,1),(75,1),(133,1),(143,1),(318,1),(319,1),(325,1)}
        49:{1,2,5,6}:{(26,1),(28,1),(36,1),(72,1),(75,1),(134,1),(321,1)}
        50:{1,2,5,7}:{(27,1),(28,1),(73,1),(77,1),(317,1),(385,1)}
        51:{1,2,4,5}:{(28,1),(30,1),(74,1),(79,1),(147,1),(385,1),(416,1)}
        52:{1,2,4,7}:{(29,1),(30,1),(80,1),(143,1),(230,1),(415,1)}
        53:{1,3,4,6}:{(30,1),(79,1),(80,1),(81,1),(151,1),(320,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(32,1),(70,1),(83,1),(85,1),(163,1),(233,1)}
        55:{2,3,6,7}:{(32,1),(35,1),(71,1),(84,1),(167,1),(331,1)}
        56:{2,3,5,6}:{(32,1),(34,1),(36,1),(72,1),(84,1),(85,1),(91,1)}
        57:{2,3,5,7}:{(33,1),(34,1),(73,1),(86,1),(87,1),(245,1),(317,1),(414,1)}
        58:{2,4,5}:{(34,1),(74,1),(85,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(143,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(144,1),(169,1),(232,1),(249,1),(332,1),(388,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(219,1),(305,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(176,1),(269,1),(345,1)}
        67:{2,3,6}:{(42,1),(45,1),(97,1)}
        68:{2,3,4,6,7}:{(43,1),(46,1),(98,1),(100,1),(115,1),(176,1),(178,1),(194,1),(263,1),(275,1),(363,1),(366,1),(405,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(45,1),(54,1),(97,1),(103,1),(105,1),(177,1),(279,1)}
        71:{1,3,6,7}:{(45,1),(48,1),(55,1),(98,1),(104,1),(356,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(49,1),(56,1),(99,1),(104,1),(105,1)}
        73:{1,3,5,7}:{(46,1),(47,1),(50,1),(57,1),(100,1),(106,1),(107,1),(354,1),(403,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(105,1)}
        75:{1,2,5,7}:{(48,1),(49,1),(59,1),(104,1),(173,1),(354,1)}
        76:{1,2,4,5,6}:{(49,1),(51,1),(60,1),(105,1),(110,1),(111,1),(112,1),(131,1),(174,1),(186,1),(187,1),(212,1),(273,1),(277,1),(278,1),(341,1),(357,1),(364,1),(398,1),(402,1)}
        77:{1,2,5,6}:{(50,1),(106,1),(112,1),(278,1),(284,1)}
        78:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(107,1),(112,1),(113,1),(189,1)}
        79:{1,3,5}:{(51,1),(53,1),(114,1)}
        80:{1,3,4,7}:{(52,1),(53,1),(113,1),(115,1),(356,1)}
        81:{2,3,4,6}:{(53,1),(114,1),(115,1),(116,1),(186,1),(194,1),(292,1),(297,1),(346,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(55,1),(102,1),(117,1),(120,1),(199,1),(202,1),(264,1),(275,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(205,1),(278,1)}
        84:{2,3,5,7}:{(55,1),(56,1),(59,1),(104,1),(120,1),(126,1)}
        85:{2,4,6}:{(56,1),(58,1),(105,1),(120,1),(121,1)}
        86:{2,3,5,6}:{(57,1),(106,1),(122,1),(194,1),(205,1),(278,1)}
        87:{2,4,5,7}:{(57,1),(58,1),(107,1),(120,1),(122,1),(123,1),(421,1),(423,1)}
        88:{3,4,5}:{(58,1),(121,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(120,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(121,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(185,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(186,1),(212,1),(278,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(67,1),(70,1),(134,1)}
        98:{2,3,6,7}:{(67,1),(71,1),(133,1),(135,1),(302,1),(375,1)}
        99:{2,3,5,6}:{(67,1),(69,1),(72,1),(134,1),(135,1),(136,1),(217,1)}
       100:{2,3,5,7}:{(68,1),(69,1),(73,1),(137,1),(138,1),(305,1),(317,1),(390,1)}
       101:{2,4,5}:{(69,1),(74,1),(136,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(71,1),(82,1),(133,1),(140,1),(143,1),(219,1),(225,1),(302,1),(307,1),(318,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(321,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(75,1),(84,1),(135,1),(143,1)}
       105:{1,4,6}:{(72,1),(74,1),(85,1),(136,1),(143,1)}
       106:{1,3,5,6}:{(73,1),(77,1),(86,1),(137,1),(145,1),(151,1),(239,1),(321,1)}
       107:{1,4,5,7}:{(73,1),(74,1),(87,1),(138,1),(143,1),(145,1),(415,1),(416,1)}
       108:{1,3,4,5}:{(74,1),(79,1),(88,1),(139,1),(144,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(77,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,5,7}:{(75,1),(76,1),(90,1),(143,1),(148,1),(149,1),(172,1),(216,1),(228,1),(230,1),(257,1),(316,1),(317,1),(319,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       111:{1,3,5,6}:{(76,1),(79,1),(91,1),(144,1),(149,1),(150,1),(151,1),(217,1),(320,1),(388,1),(412,1)}
       112:{1,2,4,6}:{(77,1),(78,1),(145,1),(151,1),(233,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(80,1),(151,1),(152,1)}
       114:{2,3,5}:{(79,1),(81,1),(147,1),(153,1)}
       115:{2,3,4,7}:{(80,1),(81,1),(152,1),(154,1),(230,1),(331,1),(375,1)}
       116:{1,3,4,6}:{(81,1),(153,1),(154,1),(155,1),(231,1),(239,1),(320,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(245,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(85,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(159,1),(167,1),(236,1),(245,1),(317,1),(409,1),(411,1),(424,1)}
       120:{2,4,7}:{(84,1),(85,1),(143,1),(160,1)}
       121:{3,4,6}:{(85,1),(88,1),(91,1),(160,1)}
       122:{2,4,6}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,5,7}:{(87,1),(88,1),(160,1),(163,1),(245,1),(425,1),(426,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(161,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(160,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(161,1),(168,1),(169,1),(388,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(230,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(231,1),(321,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(305,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(98,1),(102,1),(173,1),(176,1),(345,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,7}:{(98,1),(99,1),(104,1),(173,1),(176,1),(260,1)}
       136:{2,4,6}:{(99,1),(101,1),(105,1),(176,1),(177,1)}
       137:{2,3,5,6}:{(100,1),(106,1),(178,1),(194,1),(266,1),(278,1)}
       138:{2,4,5,7}:{(100,1),(101,1),(107,1),(176,1),(178,1),(179,1),(405,1),(407,1)}
       139:{3,4,5}:{(101,1),(177,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(105,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(184,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,7}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,6}:{(105,1),(108,1),(111,1),(121,1),(177,1),(185,1),(186,1),(402,1),(406,1),(422,1)}
       145:{1,4,6}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(123,1),(179,1),(185,1),(188,1),(189,1),(274,1)}
       147:{2,4,5}:{(108,1),(114,1),(186,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(112,1),(125,1),(184,1),(191,1),(214,1),(259,1),(275,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,5,7}:{(110,1),(111,1),(126,1),(185,1),(191,1),(192,1),(260,1),(356,1),(404,1),(420,1)}
       150:{2,3,5,6}:{(111,1),(114,1),(186,1),(192,1),(193,1),(194,1),(212,1),(278,1),(292,1),(341,1),(346,1)}
       151:{1,3,6}:{(112,1),(113,1),(194,1)}
       152:{2,3,5,7}:{(113,1),(114,1),(115,1),(189,1),(194,1),(195,1)}
       153:{1,3,5}:{(114,1),(116,1),(190,1),(196,1)}
       154:{1,3,4,7}:{(115,1),(116,1),(195,1),(197,1),(276,1),(356,1)}
       155:{1,2,4,6}:{(116,1),(196,1),(197,1),(198,1),(284,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(120,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(121,1),(200,1),(205,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(122,1),(184,1),(201,1),(202,1),(421,1)}
       160:{3,4,7}:{(120,1),(121,1),(126,1)}
       161:{2,3,4,6}:{(121,1),(124,1),(127,1),(186,1),(203,1),(204,1),(346,1),(406,1)}
       162:{2,4,5,6}:{(122,1),(187,1),(201,1),(205,1),(278,1)}
       163:{3,4,6}:{(122,1),(123,1),(205,1)}
       164:{2,3,4,5,7}:{(123,1),(124,1),(189,1),(203,1),(206,1),(207,1),(289,1),(350,1),(421,1),(423,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(204,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(203,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(204,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(276,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(136,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(218,1),(236,1),(302,1),(305,1),(317,1),(337,1),(387,1),(391,1)}
       176:{2,4,7}:{(135,1),(136,1),(143,1),(219,1)}
       177:{3,4,6}:{(136,1),(139,1),(217,1),(219,1)}
       178:{2,4,6}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,5,7}:{(138,1),(139,1),(219,1),(222,1),(305,1),(417,1),(418,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(220,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(143,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(144,1),(158,1),(217,1),(226,1),(227,1),(232,1),(304,1),(309,1),(376,1),(412,1)}
       184:{1,4,6,7}:{(142,1),(143,1),(145,1),(159,1),(218,1),(228,1),(415,1)}
       185:{1,3,4,7}:{(143,1),(144,1),(149,1),(160,1),(219,1),(230,1),(415,1),(417,1),(425,1)}
       186:{2,4,6}:{(144,1),(147,1),(150,1),(230,1),(231,1)}
       187:{1,4,5,6}:{(145,1),(162,1),(221,1),(228,1),(232,1),(321,1)}
       188:{1,3,4,6}:{(145,1),(146,1),(151,1),(163,1),(222,1),(232,1),(233,1)}
       189:{2,4,5,7}:{(146,1),(147,1),(152,1),(230,1),(233,1),(234,1),(317,1)}
       190:{1,4,5}:{(147,1),(153,1),(231,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(151,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,5,7}:{(149,1),(150,1),(230,1),(236,1),(237,1),(257,1),(317,1),(331,1),(371,1),(375,1)}
       193:{1,3,5,6}:{(150,1),(153,1),(231,1),(237,1),(238,1),(239,1),(320,1),(321,1)}
       194:{2,3,6}:{(151,1),(152,1),(233,1),(239,1)}
       195:{1,3,5,7}:{(152,1),(153,1),(154,1),(234,1),(239,1),(240,1)}
       196:{1,2,5}:{(153,1),(155,1)}
       197:{1,2,4,7}:{(154,1),(155,1),(240,1),(242,1)}
       198:{1,2,3,6}:{(155,1),(241,1),(242,1),(320,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(160,1),(244,1),(245,1)}
       201:{2,4,5,7}:{(159,1),(162,1),(228,1),(245,1),(317,1)}
       202:{3,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(245,1),(424,1),(425,1)}
       203:{2,3,4,7}:{(160,1),(161,1),(168,1),(230,1),(247,1),(375,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(165,1),(169,1),(231,1),(247,1),(248,1),(320,1)}
       205:{3,5,6}:{(162,1),(163,1),(245,1)}
       206:{2,3,4,6}:{(163,1),(164,1),(233,1),(250,1),(251,1),(378,1),(413,1)}
       207:{1,3,4,5,7}:{(164,1),(165,1),(234,1),(247,1),(251,1),(252,1),(323,1),(329,1),(415,1),(416,1),(417,1),(418,1)}
       208:{2,4,5}:{(165,1),(248,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(245,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(247,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(248,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(176,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(177,1),(260,1)}
       218:{2,4,6,7}:{(175,1),(176,1),(178,1),(184,1),(262,1),(263,1),(405,1)}
       219:{3,4,7}:{(176,1),(177,1),(260,1)}
       220:{2,3,4,6}:{(177,1),(180,1),(186,1),(261,1),(264,1),(265,1),(292,1),(422,1)}
       221:{2,4,5,6}:{(178,1),(187,1),(262,1),(266,1),(278,1)}
       222:{3,4,6}:{(178,1),(179,1),(266,1)}
       223:{2,3,4,5,7}:{(179,1),(180,1),(189,1),(264,1),(267,1),(268,1),(296,1),(343,1),(405,1),(407,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(265,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(185,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(186,1),(261,1),(272,1),(273,1),(278,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(187,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(202,1),(263,1),(274,1),(275,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(276,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(276,1)}
       232:{1,3,5,6}:{(187,1),(188,1),(205,1),(266,1),(274,1),(278,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(278,1),(279,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(276,1),(279,1),(354,1)}
       235:{1,2,4,5}:{(190,1),(196,1),(208,1),(269,1),(277,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(275,1),(282,1),(300,1),(394,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(276,1),(282,1),(283,1),(354,1),(356,1)}
       238:{1,2,5,6}:{(193,1),(196,1),(212,1),(277,1),(283,1),(284,1),(341,1)}
       239:{1,3,6}:{(194,1),(195,1),(279,1),(284,1)}
       240:{1,2,5,7}:{(195,1),(196,1),(197,1),(284,1)}
       241:{1,2,3,5}:{(196,1),(198,1),(281,1),(286,1)}
       242:{1,2,3,7}:{(197,1),(198,1),(356,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,5,7}:{(201,1),(202,1),(205,1)}
       246:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(210,1),(275,1),(289,1),(290,1),(298,1),(397,1),(421,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(211,1),(276,1),(291,1),(356,1)}
       248:{2,4,6}:{(204,1),(208,1),(212,1),(291,1),(292,1)}
       249:{3,4,5,6}:{(205,1),(288,1),(293,1),(422,1)}
       250:{2,3,5,6}:{(205,1),(206,1),(278,1),(289,1),(293,1),(294,1)}
       251:{1,3,4,6}:{(206,1),(207,1),(279,1),(294,1),(295,1),(358,1),(402,1),(406,1)}
       252:{2,4,5,7}:{(207,1),(208,1),(291,1),(295,1),(296,1),(362,1),(405,1),(407,1)}
       253:{2,3,5}:{(208,1),(281,1),(292,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(289,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(291,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(219,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(220,1),(227,1),(303,1),(304,1),(412,1)}
       262:{2,4,5,7}:{(218,1),(221,1),(228,1),(305,1),(317,1)}
       263:{3,4,6,7}:{(218,1),(219,1),(222,1),(302,1),(305,1),(391,1),(417,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(230,1),(303,1),(307,1),(331,1),(425,1)}
       265:{1,3,4,6}:{(220,1),(224,1),(231,1),(304,1),(307,1),(308,1),(320,1)}
       266:{3,5,6}:{(221,1),(222,1),(305,1)}
       267:{2,3,4,6}:{(222,1),(223,1),(233,1),(310,1),(311,1),(334,1),(389,1)}
       268:{1,3,4,5,7}:{(223,1),(224,1),(234,1),(307,1),(311,1),(312,1),(323,1),(373,1),(415,1),(416,1),(425,1),(426,1)}
       269:{2,4,5}:{(224,1),(308,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(230,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(231,1),(304,1),(316,1),(321,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(232,1),(245,1),(305,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(317,1),(318,1)}
       276:{1,4,7}:{(230,1),(231,1),(237,1)}
       277:{1,2,4,6}:{(231,1),(235,1),(238,1),(248,1),(308,1),(319,1),(320,1)}
       278:{2,5,6}:{(232,1),(233,1),(317,1),(321,1)}
       279:{1,4,6}:{(233,1),(234,1),(239,1),(321,1)}
       280:{1,2,4,5,7}:{(234,1),(235,1),(240,1),(252,1),(312,1),(319,1),(322,1),(323,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(320,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(239,1),(318,1),(325,1)}
       283:{1,2,5,7}:{(237,1),(238,1),(257,1),(319,1),(325,1),(371,1)}
       284:{1,2,6}:{(239,1),(240,1)}
       285:{1,2,3,5,7}:{(240,1),(241,1),(242,1),(323,1),(326,1),(327,1),(385,1)}
       286:{1,2,4}:{(241,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(245,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(249,1),(254,1),(328,1),(425,1)}
       289:{2,3,5,7}:{(245,1),(246,1),(250,1),(317,1),(328,1),(329,1)}
       290:{1,3,4,6,7}:{(246,1),(247,1),(251,1),(256,1),(318,1),(329,1),(330,1),(336,1),(382,1),(391,1),(415,1),(417,1)}
       291:{2,4,7}:{(247,1),(248,1),(257,1),(331,1)}
       292:{2,3,6}:{(248,1),(253,1),(320,1),(331,1)}
       293:{2,4,5,6}:{(249,1),(250,1),(328,1),(332,1),(413,1)}
       294:{1,3,5,6}:{(250,1),(251,1),(321,1),(329,1),(332,1),(333,1),(388,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(334,1)}
       296:{2,3,5,7}:{(252,1),(253,1),(323,1),(331,1),(334,1),(335,1),(390,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(329,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(264,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(265,1),(273,1),(340,1),(341,1)}
       305:{3,5,7}:{(262,1),(263,1),(266,1)}
       306:{2,3,4,6,7}:{(263,1),(264,1),(267,1),(275,1),(339,1),(343,1),(344,1),(363,1),(392,1),(405,1)}
       307:{1,3,4,7}:{(264,1),(265,1),(276,1),(340,1),(345,1),(356,1)}
       308:{2,4,6}:{(265,1),(269,1),(341,1),(345,1),(346,1)}
       309:{3,4,5,6}:{(266,1),(342,1),(347,1),(406,1)}
       310:{2,3,5,6}:{(266,1),(267,1),(278,1),(343,1),(347,1),(348,1)}
       311:{1,3,4,6}:{(267,1),(268,1),(279,1),(348,1),(349,1),(358,1),(402,1),(422,1)}
       312:{2,4,5,7}:{(268,1),(269,1),(345,1),(349,1),(350,1),(396,1),(421,1),(423,1)}
       313:{2,3,5}:{(269,1),(281,1),(346,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(276,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(278,1),(354,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(354,1)}
       319:{1,2,4,7}:{(276,1),(277,1),(283,1),(291,1),(345,1),(356,1)}
       320:{1,3,6}:{(277,1),(281,1),(292,1),(346,1),(356,1)}
       321:{1,5,6}:{(278,1),(279,1),(354,1)}
       322:{1,2,4,6}:{(279,1),(280,1),(284,1),(295,1),(349,1),(357,1),(358,1),(402,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(296,1),(350,1),(356,1),(358,1),(359,1),(403,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(284,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(284,1),(285,1),(358,1),(360,1)}
       327:{1,2,4,7}:{(285,1),(286,1),(359,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(293,1),(298,1),(361,1),(421,1)}
       329:{1,3,5,7}:{(289,1),(290,1),(294,1),(354,1),(361,1),(362,1),(404,1)}
       330:{2,4,6,7}:{(290,1),(291,1),(295,1),(300,1),(362,1),(363,1),(405,1)}
       331:{2,3,7}:{(291,1),(292,1),(356,1)}
       332:{1,4,5,6}:{(293,1),(294,1),(361,1),(364,1),(402,1)}
       333:{2,5,6}:{(294,1),(295,1),(362,1)}
       334:{2,3,6}:{(295,1),(296,1),(358,1)}
       335:{2,3,4,7}:{(296,1),(297,1),(359,1),(366,1),(405,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(362,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(305,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(307,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(308,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(309,1),(368,1),(372,1),(417,1)}
       343:{2,3,5,7}:{(305,1),(306,1),(310,1),(317,1),(372,1),(373,1)}
       344:{1,3,4,6,7}:{(306,1),(307,1),(311,1),(318,1),(370,1),(373,1),(374,1),(382,1),(408,1),(415,1),(424,1),(425,1)}
       345:{2,4,7}:{(307,1),(308,1),(371,1),(375,1)}
       346:{2,3,6}:{(308,1),(313,1),(320,1),(375,1)}
       347:{2,4,5,6}:{(309,1),(310,1),(372,1),(376,1),(389,1)}
       348:{1,3,5,6}:{(310,1),(311,1),(321,1),(373,1),(376,1),(377,1),(412,1)}
       349:{2,4,6}:{(311,1),(312,1),(377,1),(378,1)}
       350:{2,3,5,7}:{(312,1),(313,1),(323,1),(375,1),(378,1),(379,1),(414,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(321,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(322,1),(325,1),(330,1),(374,1),(381,1),(382,1),(415,1)}
       356:{1,3,7}:{(319,1),(320,1),(331,1),(375,1)}
       357:{1,2,5,6}:{(321,1),(322,1),(333,1),(377,1),(381,1),(383,1),(385,1)}
       358:{1,3,6}:{(322,1),(323,1),(334,1),(378,1)}
       359:{1,3,4,7}:{(323,1),(324,1),(327,1),(335,1),(379,1),(384,1),(415,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(332,1),(336,1),(386,1),(415,1)}
       362:{2,5,7}:{(329,1),(330,1),(333,1)}
       363:{2,3,6,7}:{(330,1),(331,1),(334,1),(382,1),(387,1),(391,1)}
       364:{2,4,5,6}:{(332,1),(333,1),(386,1),(388,1),(389,1)}
       365:{2,3,5,6}:{(333,1),(334,1),(383,1),(387,1),(388,1),(389,1),(390,1)}
       366:{2,3,4,6}:{(334,1),(335,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(343,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(345,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(347,1),(392,1),(395,1),(405,1)}
       373:{1,3,5,7}:{(343,1),(344,1),(348,1),(354,1),(395,1),(396,1),(420,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(349,1),(394,1),(396,1),(397,1),(421,1)}
       375:{2,3,7}:{(345,1),(346,1),(356,1)}
       376:{1,4,5,6}:{(347,1),(348,1),(395,1),(398,1),(402,1)}
       377:{2,5,6}:{(348,1),(349,1),(396,1)}
       378:{2,3,6}:{(349,1),(350,1),(358,1)}
       379:{2,3,4,7}:{(350,1),(351,1),(359,1),(400,1),(421,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(357,1),(362,1),(396,1),(401,1)}
       382:{1,3,6,7}:{(355,1),(356,1),(358,1),(363,1),(397,1),(401,1)}
       383:{1,3,5,6}:{(357,1),(358,1),(365,1),(399,1),(401,1),(402,1),(403,1)}
       384:{1,3,4,6}:{(358,1),(359,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(364,1),(367,1),(404,1),(405,1)}
       387:{2,3,5,7}:{(362,1),(363,1),(365,1),(401,1),(404,1),(405,1)}
       388:{3,5,6}:{(364,1),(404,1),(406,1)}
       389:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(373,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(376,1),(408,1),(410,1),(415,1)}
       396:{2,5,7}:{(373,1),(374,1),(377,1)}
       397:{2,3,6,7}:{(374,1),(375,1),(378,1),(382,1),(411,1),(424,1)}
       398:{2,4,5,6}:{(376,1),(377,1),(410,1),(412,1),(413,1)}
       399:{2,3,5,6}:{(377,1),(378,1),(383,1),(411,1),(412,1),(413,1),(414,1)}
       400:{2,3,4,6}:{(378,1),(379,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(387,1),(411,1),(415,1)}
       402:{1,4,6}:{(383,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(388,1),(391,1),(417,1)}
       405:{2,4,7}:{(387,1),(389,1),(415,1),(417,1)}
       406:{3,4,6}:{(388,1),(389,1),(417,1),(418,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(396,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(398,1),(419,1),(420,1),(421,1)}
       411:{2,3,5,7}:{(396,1),(397,1),(399,1),(401,1),(420,1),(421,1)}
       412:{3,5,6}:{(398,1),(420,1),(422,1)}
       413:{2,4,6}:{(399,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(405,1),(421,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(406,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(412,1),(424,1),(425,1)}
       421:{2,4,7}:{(411,1),(413,1),(415,1),(425,1)}
       422:{3,4,6}:{(412,1),(413,1),(425,1),(426,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(422,1),(423,1)}

1588 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1589 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(25,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(132,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(26,1),(67,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(25,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(73,1),(76,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(109,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(12,1),(15,1),(39,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,5}:{(12,1),(42,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(46,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(45,1),(47,1),(83,1),(90,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,5}:{(15,1),(42,1),(49,1)}
        30:{2,3,4,7}:{(15,1),(43,1),(51,1),(52,1),(99,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(162,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(132,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(109,1),(112,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,5}:{(23,1),(25,1),(29,1),(60,1),(64,1)}
        43:{1,3,4,7}:{(23,1),(26,1),(30,1),(61,1),(66,1),(67,1),(115,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,6}:{(25,1),(27,1),(32,1),(65,1),(68,1),(69,1),(106,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(66,1),(69,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(68,1),(107,1),(115,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(73,1)}
        49:{2,4,5}:{(29,1),(64,1),(72,1),(73,1)}
        50:{2,3,5,6}:{(29,1),(31,1),(32,1),(65,1),(73,1),(75,1),(76,1),(77,1),(124,1)}
        51:{2,3,5,7}:{(29,1),(30,1),(66,1),(74,1),(76,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(73,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,5}:{(39,1),(42,1),(84,1)}
        61:{2,3,4,7}:{(39,1),(43,1),(86,1),(87,1),(132,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,4,5}:{(42,1),(49,1),(84,1),(90,1)}
        65:{1,3,5,6}:{(42,1),(44,1),(45,1),(50,1),(85,1),(90,1),(92,1),(93,1),(138,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(46,1),(51,1),(86,1),(91,1),(93,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,5,7}:{(45,1),(47,1),(54,1),(92,1),(94,1),(129,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(99,1)}
        72:{3,4,5}:{(49,1),(97,1)}
        73:{2,4,6}:{(49,1),(50,1),(90,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(49,1),(51,1),(91,1),(98,1),(99,1),(100,1),(143,1)}
        75:{2,3,5,7}:{(50,1),(52,1),(54,1),(92,1),(99,1),(101,1),(102,1),(143,1)}
        76:{2,3,6}:{(51,1),(93,1),(100,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(99,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(60,1),(64,1),(108,1),(109,1)}
        85:{2,3,5,6}:{(60,1),(62,1),(65,1),(106,1),(109,1),(111,1),(112,1),(145,1),(151,1)}
        86:{2,3,5,7}:{(60,1),(61,1),(66,1),(110,1),(112,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(65,1),(73,1),(109,1),(115,1)}
        91:{1,4,5,7}:{(64,1),(66,1),(74,1),(110,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(65,1),(67,1),(68,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(66,1),(69,1),(76,1),(112,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(73,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(73,1),(77,1),(121,1)}
        98:{3,4,5,7}:{(72,1),(74,1),(121,1),(122,1),(156,1)}
        99:{2,4,7}:{(73,1),(75,1),(115,1),(121,1)}
       100:{2,4,6}:{(74,1),(76,1),(116,1),(122,1),(124,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(130,1)}
       109:{2,4,6}:{(84,1),(85,1),(90,1),(130,1),(132,1)}
       110:{2,4,5,7}:{(84,1),(86,1),(91,1),(131,1),(132,1),(133,1),(163,1)}
       111:{2,3,5,7}:{(85,1),(87,1),(92,1),(129,1),(132,1),(134,1),(159,1),(163,1)}
       112:{2,3,6}:{(86,1),(93,1),(133,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(92,1),(99,1),(132,1)}
       116:{1,4,6}:{(91,1),(93,1),(100,1),(133,1),(138,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(137,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(142,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(99,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(99,1),(102,1)}
       122:{3,4,6}:{(98,1),(100,1),(142,1)}
       123:{2,4,6,7}:{(99,1),(100,1),(101,1),(137,1),(141,1),(143,1)}
       124:{2,5,6}:{(100,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(109,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(109,1),(145,1),(148,1)}
       131:{3,4,5,7}:{(108,1),(110,1),(148,1),(149,1),(169,1)}
       132:{2,4,7}:{(109,1),(111,1),(115,1),(148,1)}
       133:{2,4,6}:{(110,1),(112,1),(116,1),(149,1),(151,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(150,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(123,1),(150,1),(153,1)}
       138:{1,5,6}:{(116,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{3,5,6}:{(122,1),(124,1),(156,1),(157,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(156,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(132,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(132,1),(159,1)}
       149:{3,4,6}:{(131,1),(133,1),(162,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(163,1)}
       151:{2,5,6}:{(133,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(142,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{3,5,6}:{(149,1),(151,1),(169,1),(170,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(162,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1590 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1591 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1592 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1593 :   0:{3,4,5,6,7}:{(1,1),(56,1),(130,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(42,1),(148,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(160,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(6,1),(32,1),(165,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(39,1),(42,1),(142,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1),(173,1)}
         6:{2,4,5,6,7}:{(3,1),(10,1),(11,1),(23,1),(177,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(46,1),(74,1),(115,1),(142,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(49,1),(57,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(17,1),(29,1),(32,1),(158,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(181,1)}
        11:{3,5,6,7}:{(6,1),(17,1),(184,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(34,1),(35,1),(58,1),(133,1),(158,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(24,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(171,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(106,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(41,1),(145,1)}
        17:{3,4,6,7}:{(11,1),(23,1),(24,1),(176,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(151,1),(171,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(120,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(157,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(31,1),(32,1),(54,1),(126,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(163,1)}
        24:{3,4,5,7}:{(17,1),(33,1),(34,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(120,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(132,1),(157,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(140,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{2,3,5,6,7}:{(22,1),(39,1),(42,1),(70,1),(73,1),(108,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(42,1),(43,1),(146,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,4,5,6}:{(24,1),(44,1),(176,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(113,1),(140,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(122,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(56,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(56,1),(57,1),(128,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(57,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(163,1)}
        45:{3,4,5,6,7}:{(34,1),(59,1),(185,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(122,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(132,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(138,1),(144,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(140,1),(172,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1),(73,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{3,4,6,7}:{(42,1),(73,1),(110,1)}
        57:{2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(74,1),(146,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(178,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(106,1),(113,1),(140,1),(152,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(113,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(152,1),(177,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(119,1),(169,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(91,1),(119,1),(125,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(157,1),(163,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(120,1),(182,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(122,1),(128,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1),(92,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{3,5,7}:{(56,1),(57,1),(92,1)}
        74:{2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(128,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(93,1),(166,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(168,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(122,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(130,1),(134,1),(165,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(169,1),(186,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(180,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(110,1),(140,1),(146,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(172,1),(178,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(105,1),(140,1),(146,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(105,1),(106,1),(187,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(105,1),(107,1),(108,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(109,1),(111,1)}
        91:{3,4,5,7}:{(73,1),(107,1),(110,1)}
        92:{3,5,6}:{(73,1),(74,1),(110,1)}
        93:{2,4,5,6,7}:{(74,1),(75,1),(109,1),(111,1),(149,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(112,1),(113,1),(140,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(113,1),(151,1)}
        96:{2,3,5}:{(77,1),(78,1),(113,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(116,1),(117,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(117,1),(150,1),(154,1),(179,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(118,1),(119,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(119,1),(120,1),(125,1),(156,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(119,1),(122,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(122,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(123,1),(131,1),(159,1),(166,1)}
       104:{2,3,4,6,7}:{(86,1),(118,1),(124,1),(157,1),(163,1),(182,1),(185,1)}
       105:{1,3,5,7}:{(86,1),(87,1),(88,1),(124,1),(125,1),(126,1)}
       106:{1,2,5,6}:{(87,1),(89,1),(120,1),(126,1),(181,1)}
       107:{2,4,5,7}:{(88,1),(91,1),(125,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(92,1),(122,1),(126,1),(128,1)}
       109:{2,5,6,7}:{(89,1),(90,1),(123,1)}
       110:{3,4,6}:{(91,1),(92,1),(128,1)}
       111:{3,5,6,7}:{(92,1),(93,1),(131,1)}
       112:{2,3,4,6}:{(94,1),(118,1),(132,1),(157,1),(168,1)}
       113:{1,3,5}:{(94,1),(95,1),(96,1),(132,1)}
       114:{1,2,4,5,6}:{(95,1),(97,1),(120,1),(134,1),(135,1),(165,1),(168,1),(181,1)}
       115:{2,3,4,5}:{(96,1),(133,1),(136,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(122,1),(134,1),(136,1),(137,1)}
       117:{2,4,5,7}:{(97,1),(98,1),(123,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(112,1),(138,1),(180,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(113,1),(138,1),(140,1)}
       120:{1,2,4,6}:{(100,1),(102,1),(106,1),(140,1),(146,1),(171,1)}
       121:{2,3,4,5,7}:{(101,1),(107,1),(115,1),(139,1),(142,1),(155,1),(175,1)}
       122:{2,3,6}:{(101,1),(102,1),(140,1)}
       123:{2,4,6,7}:{(102,1),(103,1),(109,1),(117,1),(143,1)}
       124:{2,3,5,7}:{(104,1),(105,1),(144,1),(145,1),(187,1),(188,1)}
       125:{1,4,5,7}:{(105,1),(107,1),(144,1),(146,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(108,1),(140,1),(145,1),(146,1)}
       127:{1,2,5,6,7}:{(106,1),(109,1),(141,1),(147,1),(187,1)}
       128:{2,4,6}:{(107,1),(108,1),(110,1),(146,1)}
       129:{2,3,5,6,7}:{(108,1),(109,1),(111,1),(143,1),(147,1),(149,1),(175,1)}
       130:{3,4,5,6}:{(110,1),(148,1),(150,1)}
       131:{3,4,6,7}:{(110,1),(111,1),(149,1),(150,1)}
       132:{2,3,5}:{(112,1),(113,1),(151,1)}
       133:{1,3,4,5}:{(113,1),(115,1),(151,1),(153,1)}
       134:{1,3,5,6}:{(113,1),(114,1),(116,1),(140,1),(152,1),(153,1),(154,1)}
       135:{1,2,4,5,7}:{(114,1),(117,1),(141,1),(154,1),(179,1),(180,1),(187,1)}
       136:{2,3,4,6}:{(115,1),(116,1),(153,1),(155,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(143,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(132,1),(156,1),(157,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(125,1),(133,1),(156,1),(158,1),(162,1),(170,1),(183,1)}
       140:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(127,1),(135,1),(159,1),(166,1),(182,1)}
       142:{2,3,4,6}:{(121,1),(122,1),(128,1),(158,1),(160,1)}
       143:{2,3,6,7}:{(122,1),(123,1),(137,1),(159,1)}
       144:{2,4,5,7}:{(124,1),(125,1),(162,1),(163,1)}
       145:{2,3,5,6}:{(124,1),(126,1),(157,1),(163,1),(181,1),(184,1)}
       146:{1,4,6}:{(125,1),(126,1),(128,1),(163,1)}
       147:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(159,1),(164,1),(166,1),(183,1)}
       148:{2,4,5,6}:{(128,1),(130,1),(160,1),(165,1),(167,1)}
       149:{2,4,6,7}:{(128,1),(129,1),(131,1),(166,1),(167,1)}
       150:{3,4,5,7}:{(130,1),(131,1),(167,1)}
       151:{2,4,5}:{(132,1),(133,1),(168,1)}
       152:{2,3,5,6}:{(132,1),(134,1),(157,1),(168,1),(169,1),(181,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(136,1),(168,1),(170,1)}
       154:{1,3,5,7}:{(134,1),(135,1),(137,1),(159,1),(169,1),(170,1)}
       155:{2,3,4,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(151,1),(171,1),(180,1),(187,1)}
       157:{2,3,6}:{(138,1),(140,1),(171,1)}
       158:{1,3,4,6}:{(139,1),(140,1),(142,1),(146,1),(171,1),(173,1),(176,1)}
       159:{1,3,6,7}:{(140,1),(141,1),(143,1),(154,1),(172,1)}
       160:{2,3,5,6}:{(142,1),(148,1),(173,1),(175,1)}
       161:{2,3,4,6,7}:{(142,1),(143,1),(149,1),(155,1),(174,1),(175,1)}
       162:{3,4,5,7}:{(144,1),(176,1),(188,1)}
       163:{2,4,6}:{(144,1),(145,1),(146,1),(176,1)}
       164:{2,3,5,6,7}:{(145,1),(147,1),(172,1),(178,1),(187,1),(188,1)}
       165:{1,4,5,6}:{(146,1),(148,1),(173,1),(177,1),(179,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(149,1),(178,1),(179,1)}
       167:{2,4,5,7}:{(148,1),(149,1),(150,1),(175,1),(179,1)}
       168:{2,4,6}:{(151,1),(152,1),(153,1),(180,1)}
       169:{2,3,5,7}:{(152,1),(154,1),(172,1),(180,1),(187,1)}
       170:{1,3,4,7}:{(153,1),(154,1),(155,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(158,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(169,1),(182,1)}
       173:{1,3,5,6}:{(158,1),(160,1),(165,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6,7}:{(158,1),(159,1),(161,1),(166,1),(170,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,7}:{(160,1),(161,1),(167,1),(183,1)}
       176:{3,4,6}:{(162,1),(163,1),(184,1)}
       177:{2,4,5,6}:{(163,1),(165,1),(181,1),(184,1),(186,1)}
       178:{2,4,6,7}:{(163,1),(164,1),(166,1),(185,1),(186,1)}
       179:{1,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(186,1)}
       180:{2,4,7}:{(168,1),(169,1),(170,1)}
       181:{2,5,6}:{(171,1),(173,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(174,1),(180,1),(187,1)}
       183:{1,3,5,7}:{(173,1),(174,1),(175,1),(179,1),(187,1),(188,1)}
       184:{3,5,6}:{(176,1),(177,1),(188,1)}
       185:{3,4,6,7}:{(176,1),(178,1),(188,1)}
       186:{2,4,5,7}:{(177,1),(178,1),(179,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

1594 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1595 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(36,1),(48,1),(89,1),(101,1),(104,1),(106,1),(144,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(66,1),(75,1),(77,1),(121,1),(131,1),(134,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(69,1),(126,1),(172,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(14,1),(35,1),(52,1),(85,1),(103,1),(142,1),(145,1),(147,1),(150,1),(241,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(45,1),(99,1),(104,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(50,1),(52,1),(150,1),(163,1),(164,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(53,1),(149,1),(156,1),(201,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(89,1),(143,1)}
         8:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(22,1),(59,1),(66,1),(115,1),(117,1),(121,1),(171,1),(174,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(18,1),(20,1),(21,1),(109,1),(132,1),(166,1),(177,1)}
        10:{1,2,4,6,7}:{(5,1),(19,1),(22,1),(23,1),(65,1),(66,1),(131,1),(171,1),(178,1),(179,1),(180,1),(186,1),(215,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(4,1),(25,1),(26,1),(69,1),(126,1),(130,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(27,1),(28,1),(75,1),(129,1),(134,1)}
        13:{2,4,6}:{(4,1),(7,1),(28,1),(29,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(30,1),(75,1),(122,1),(189,1),(215,1)}
        15:{2,5,7}:{(5,1),(6,1),(27,1),(177,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(28,1),(31,1),(66,1),(120,1)}
        17:{3,4,5,7}:{(7,1),(29,1),(69,1),(117,1),(172,1)}
        18:{2,3,5,6}:{(9,1),(34,1),(35,1),(82,1),(140,1),(145,1)}
        19:{2,4,6,7}:{(8,1),(36,1),(37,1),(87,1),(89,1),(150,1),(199,1),(200,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(34,1),(37,1),(38,1),(90,1),(149,1),(192,1),(201,1)}
        21:{2,4,5,7}:{(9,1),(35,1),(38,1),(39,1),(52,1),(102,1)}
        22:{1,3,6,7}:{(10,1),(14,1),(36,1),(41,1),(93,1),(151,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(15,1),(37,1),(40,1),(41,1),(156,1),(192,1),(201,1),(205,1),(226,1)}
        24:{2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(99,1),(143,1),(207,1)}
        25:{1,3,5,6,7}:{(11,1),(12,1),(46,1),(47,1),(97,1),(100,1),(156,1),(160,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(43,1),(47,1),(48,1)}
        27:{2,5,6}:{(12,1),(15,1),(50,1),(163,1)}
        28:{1,4,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{3,4,6}:{(13,1),(17,1),(45,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(41,1),(49,1),(52,1),(53,1),(226,1),(241,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(50,1),(52,1),(53,1),(102,1)}
        32:{1,3,4,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1),(94,1),(97,1),(107,1),(149,1),(154,1),(157,1),(204,1),(206,1),(232,1),(233,1)}
        33:{2,3,5,6,7}:{(18,1),(56,1),(57,1),(109,1),(166,1),(170,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(58,1),(59,1),(115,1),(169,1),(174,1)}
        35:{2,4,6}:{(18,1),(21,1),(59,1),(60,1)}
        36:{2,3,6,7}:{(19,1),(22,1),(61,1),(115,1),(122,1),(186,1),(218,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(177,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(59,1),(62,1),(66,1),(120,1)}
        39:{3,4,5,7}:{(21,1),(60,1),(77,1),(109,1),(132,1)}
        40:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(65,1),(129,1),(169,1),(177,1),(179,1),(185,1),(214,1),(219,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(30,1),(61,1),(64,1),(66,1)}
        42:{1,2,4,5,7}:{(23,1),(31,1),(62,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(123,1),(136,1),(176,1),(177,1),(180,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,4,5,7}:{(24,1),(26,1),(68,1),(69,1),(126,1),(221,1)}
        44:{1,4,5,6}:{(24,1),(28,1),(68,1),(70,1),(71,1),(120,1),(129,1),(184,1)}
        45:{3,5,6}:{(24,1),(29,1),(69,1),(172,1),(223,1)}
        46:{2,5,6,7}:{(25,1),(27,1),(72,1),(126,1),(186,1)}
        47:{1,4,6,7}:{(25,1),(26,1),(28,1),(68,1),(72,1)}
        48:{3,4,6,7}:{(26,1),(29,1),(69,1)}
        49:{2,3,5,6}:{(27,1),(30,1),(64,1),(74,1),(75,1),(122,1),(132,1),(177,1),(214,1),(237,1),(238,1)}
        50:{2,4,6}:{(27,1),(28,1),(31,1),(75,1)}
        51:{1,3,4,6}:{(28,1),(29,1),(32,1),(71,1),(75,1),(76,1),(127,1),(134,1),(184,1),(223,1)}
        52:{2,4,7}:{(30,1),(66,1),(74,1),(77,1)}
        53:{3,5,7}:{(31,1),(75,1),(77,1),(132,1)}
        54:{2,4,5,7}:{(32,1),(76,1),(78,1),(79,1),(123,1),(126,1),(136,1),(177,1),(181,1),(183,1),(221,1),(222,1)}
        55:{2,4,5,6}:{(35,1),(80,1),(81,1),(82,1),(102,1),(140,1),(228,1)}
        56:{1,3,5,6,7}:{(33,1),(34,1),(83,1),(84,1),(138,1),(141,1),(192,1),(196,1)}
        57:{2,4,6,7}:{(33,1),(35,1),(80,1),(84,1),(85,1)}
        58:{2,5,6}:{(34,1),(37,1),(87,1),(199,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        60:{3,4,6}:{(35,1),(39,1),(82,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(41,1),(86,1),(89,1),(90,1),(205,1),(232,1)}
        62:{2,4,5,7}:{(37,1),(38,1),(87,1),(89,1),(90,1),(143,1)}
        63:{1,3,4,5,7}:{(38,1),(39,1),(88,1),(90,1),(91,1),(94,1),(138,1),(148,1),(149,1),(190,1),(193,1),(225,1),(227,1),(241,1),(242,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(49,1),(86,1),(92,1),(93,1),(149,1),(151,1),(201,1),(231,1)}
        65:{1,2,4,6}:{(40,1),(42,1),(50,1),(87,1),(92,1),(93,1),(105,1),(146,1),(150,1),(163,1),(199,1),(207,1),(228,1)}
        66:{1,4,7}:{(41,1),(52,1),(89,1),(92,1)}
        67:{1,3,5,7}:{(42,1),(53,1),(90,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{1,4,5,7}:{(43,1),(44,1),(47,1),(96,1),(97,1),(156,1),(204,1)}
        69:{3,5,7}:{(43,1),(45,1),(48,1),(232,1)}
        70:{2,4,5,6}:{(44,1),(50,1),(96,1),(98,1),(99,1),(102,1),(158,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(51,1),(97,1),(98,1),(99,1),(149,1)}
        72:{2,4,6,7}:{(46,1),(47,1),(50,1),(96,1),(100,1)}
        73:{1,3,4,6,7}:{(47,1),(48,1),(51,1),(97,1),(100,1),(101,1),(154,1),(160,1),(204,1),(232,1)}
        74:{2,4,6}:{(49,1),(52,1),(92,1),(102,1),(103,1),(243,1)}
        75:{3,6}:{(50,1),(53,1)}
        76:{2,4,6}:{(51,1),(54,1),(99,1),(104,1),(105,1),(163,1)}
        77:{3,4,7}:{(52,1),(53,1),(103,1),(241,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(161,1),(232,1),(233,1)}
        79:{1,4,5,7}:{(54,1),(105,1),(107,1),(152,1),(156,1),(201,1),(204,1),(206,1)}
        80:{2,4,5,7}:{(55,1),(57,1),(108,1),(109,1),(166,1),(235,1)}
        81:{1,4,5,6}:{(55,1),(59,1),(108,1),(110,1),(111,1),(120,1),(169,1),(213,1)}
        82:{3,5,6}:{(55,1),(60,1),(109,1),(132,1),(237,1)}
        83:{2,5,6,7}:{(56,1),(58,1),(112,1),(166,1),(215,1)}
        84:{1,4,6,7}:{(56,1),(57,1),(59,1),(108,1),(112,1)}
        85:{3,4,6,7}:{(57,1),(60,1),(109,1)}
        86:{2,3,5,6}:{(58,1),(61,1),(64,1),(114,1),(115,1),(122,1),(172,1),(177,1),(185,1),(223,1),(224,1)}
        87:{2,4,6}:{(58,1),(59,1),(62,1),(115,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(63,1),(111,1),(115,1),(116,1),(167,1),(174,1),(213,1),(237,1)}
        89:{2,4,7}:{(61,1),(66,1),(114,1),(117,1)}
        90:{3,5,7}:{(62,1),(115,1),(117,1),(172,1)}
        91:{2,4,5,7}:{(63,1),(116,1),(118,1),(119,1),(123,1),(166,1),(176,1),(177,1),(210,1),(212,1),(235,1),(236,1)}
        92:{1,4,6}:{(64,1),(66,1),(74,1),(114,1),(120,1),(239,1)}
        93:{1,3,6}:{(65,1),(67,1),(75,1),(115,1),(122,1),(223,1),(237,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(77,1),(117,1),(121,1),(123,1),(239,1),(240,1),(244,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(136,1),(176,1),(177,1),(189,1),(218,1),(224,1),(238,1)}
        96:{2,4,5,7}:{(68,1),(70,1),(72,1),(125,1),(126,1),(181,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(125,1),(126,1)}
        98:{3,5,6}:{(70,1),(75,1),(125,1),(127,1),(132,1)}
        99:{2,5,6}:{(71,1),(76,1),(126,1),(129,1),(177,1)}
       100:{3,6,7}:{(72,1),(75,1),(125,1)}
       101:{2,4,6,7}:{(73,1),(76,1),(126,1),(130,1),(131,1),(181,1),(186,1),(221,1)}
       102:{2,4,5}:{(74,1),(120,1),(132,1),(177,1)}
       103:{3,4,6}:{(74,1),(75,1),(77,1),(132,1),(237,1),(244,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(223,1)}
       105:{1,4,6}:{(76,1),(79,1),(129,1),(134,1)}
       106:{2,3,4,7}:{(77,1),(78,1),(123,1),(133,1),(135,1),(181,1),(218,1),(240,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(134,1),(135,1),(136,1),(187,1)}
       108:{1,4,5,7}:{(80,1),(81,1),(84,1),(137,1),(138,1),(192,1),(225,1)}
       109:{3,5,7}:{(80,1),(82,1),(85,1),(241,1)}
       110:{2,4,5,6}:{(81,1),(87,1),(137,1),(139,1),(140,1),(143,1),(194,1)}
       111:{1,3,5,6}:{(81,1),(82,1),(88,1),(138,1),(139,1),(140,1),(149,1)}
       112:{2,4,6,7}:{(83,1),(84,1),(87,1),(137,1),(141,1)}
       113:{1,3,4,6,7}:{(84,1),(85,1),(88,1),(138,1),(141,1),(142,1),(190,1),(196,1),(225,1),(241,1)}
       114:{2,4,6}:{(86,1),(89,1),(92,1),(143,1),(144,1),(234,1)}
       115:{3,6}:{(87,1),(90,1)}
       116:{2,4,6}:{(88,1),(91,1),(140,1),(145,1),(146,1),(199,1)}
       117:{3,4,7}:{(89,1),(90,1),(144,1),(232,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(145,1),(147,1),(148,1),(197,1),(241,1),(242,1)}
       119:{1,4,5,7}:{(91,1),(146,1),(148,1),(152,1),(192,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(102,1),(143,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(103,1),(144,1),(149,1),(150,1)}
       122:{2,3,6}:{(93,1),(95,1),(150,1),(151,1),(163,1),(199,1)}
       123:{2,4,7}:{(94,1),(95,1),(150,1),(152,1),(234,1),(243,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(98,1),(100,1),(154,1)}
       126:{2,5,7}:{(97,1),(99,1),(101,1),(156,1)}
       127:{3,4,6}:{(98,1),(154,1),(157,1),(158,1)}
       128:{2,3,5,6}:{(98,1),(99,1),(104,1),(155,1),(158,1),(159,1),(161,1)}
       129:{1,5,6}:{(99,1),(105,1),(156,1),(201,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(104,1),(155,1),(160,1),(232,1)}
       131:{1,4,6,7}:{(101,1),(105,1),(156,1),(160,1),(204,1)}
       132:{3,5}:{(102,1),(103,1)}
       133:{2,3,4,6}:{(103,1),(104,1),(106,1),(150,1),(158,1),(161,1),(162,1),(230,1),(243,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(163,1)}
       135:{1,3,4,7}:{(106,1),(107,1),(152,1),(162,1),(164,1),(203,1),(204,1),(232,1)}
       136:{2,5,7}:{(107,1),(163,1),(164,1),(208,1)}
       137:{2,4,5,7}:{(108,1),(110,1),(112,1),(165,1),(166,1),(210,1)}
       138:{1,3,5,7}:{(108,1),(109,1),(111,1),(113,1),(165,1),(166,1)}
       139:{3,5,6}:{(110,1),(115,1),(165,1),(167,1),(172,1)}
       140:{2,5,6}:{(111,1),(116,1),(166,1),(169,1),(177,1)}
       141:{3,6,7}:{(112,1),(115,1),(165,1)}
       142:{2,4,6,7}:{(113,1),(116,1),(166,1),(170,1),(171,1),(210,1),(215,1),(235,1)}
       143:{2,4,5}:{(114,1),(120,1),(172,1),(177,1)}
       144:{3,4,6}:{(114,1),(115,1),(117,1),(172,1),(223,1),(240,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(237,1)}
       146:{1,4,6}:{(116,1),(119,1),(169,1),(174,1)}
       147:{2,3,4,7}:{(117,1),(118,1),(123,1),(173,1),(175,1),(189,1),(210,1),(244,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(174,1),(175,1),(176,1),(216,1)}
       149:{1,3,5}:{(120,1),(121,1),(132,1),(172,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,3,6}:{(122,1),(124,1),(178,1),(179,1)}
       152:{1,4,7}:{(123,1),(124,1),(178,1),(239,1)}
       153:{1,2,5,7}:{(124,1),(136,1),(176,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(127,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(128,1),(130,1),(181,1),(182,1)}
       156:{1,5,7}:{(126,1),(129,1),(131,1)}
       157:{3,4,5}:{(127,1),(132,1),(183,1),(244,1)}
       158:{2,4,6}:{(127,1),(128,1),(181,1),(183,1),(184,1)}
       159:{1,3,5,6}:{(128,1),(129,1),(134,1),(182,1),(184,1),(185,1),(187,1),(223,1)}
       160:{1,3,6,7}:{(130,1),(131,1),(134,1),(182,1),(186,1)}
       161:{2,3,5}:{(132,1),(133,1),(177,1),(183,1),(187,1)}
       162:{1,3,4,6}:{(133,1),(134,1),(135,1),(178,1),(184,1),(187,1),(188,1),(220,1),(223,1),(239,1),(240,1)}
       163:{2,6}:{(134,1),(136,1)}
       164:{2,4,7}:{(135,1),(136,1),(188,1),(189,1)}
       165:{3,5,7}:{(137,1),(139,1),(141,1),(190,1)}
       166:{2,5,7}:{(138,1),(140,1),(142,1),(192,1)}
       167:{3,4,6}:{(139,1),(190,1),(193,1),(194,1)}
       168:{2,3,5,6}:{(139,1),(140,1),(145,1),(191,1),(194,1),(195,1),(197,1)}
       169:{1,5,6}:{(140,1),(146,1),(192,1),(201,1)}
       170:{2,3,6,7}:{(141,1),(142,1),(145,1),(191,1),(196,1),(241,1)}
       171:{1,4,6,7}:{(142,1),(146,1),(192,1),(196,1),(225,1)}
       172:{3,5}:{(143,1),(144,1)}
       173:{2,3,4,6}:{(144,1),(145,1),(147,1),(150,1),(194,1),(197,1),(198,1),(209,1),(234,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(199,1)}
       175:{1,3,4,7}:{(147,1),(148,1),(152,1),(198,1),(200,1),(203,1),(225,1),(241,1)}
       176:{2,5,7}:{(148,1),(199,1),(200,1),(229,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(151,1),(153,1),(163,1),(199,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(164,1),(200,1),(202,1),(203,1)}
       181:{2,4,7}:{(154,1),(155,1),(158,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(159,1),(160,1),(204,1),(205,1),(232,1)}
       183:{2,4,5}:{(157,1),(158,1),(161,1),(206,1),(243,1)}
       184:{1,4,6}:{(158,1),(159,1),(204,1),(206,1),(207,1)}
       185:{2,5,6}:{(159,1),(163,1),(205,1),(207,1),(208,1)}
       186:{2,6,7}:{(160,1),(163,1),(205,1)}
       187:{1,3,5}:{(161,1),(162,1),(201,1),(206,1),(208,1),(233,1)}
       188:{2,4,6}:{(162,1),(163,1),(164,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(203,1),(209,1),(232,1)}
       190:{3,4,7}:{(165,1),(167,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(210,1),(211,1)}
       192:{1,5,7}:{(166,1),(169,1),(171,1)}
       193:{3,4,5}:{(167,1),(172,1),(212,1),(240,1)}
       194:{2,4,6}:{(167,1),(168,1),(210,1),(212,1),(213,1)}
       195:{1,3,5,6}:{(168,1),(169,1),(174,1),(211,1),(213,1),(214,1),(216,1),(237,1)}
       196:{1,3,6,7}:{(170,1),(171,1),(174,1),(211,1),(215,1)}
       197:{2,3,5}:{(172,1),(173,1),(177,1),(212,1),(216,1)}
       198:{1,3,4,6}:{(173,1),(174,1),(175,1),(178,1),(213,1),(216,1),(217,1),(220,1),(237,1),(239,1),(244,1)}
       199:{2,6}:{(174,1),(176,1)}
       200:{2,4,7}:{(175,1),(176,1),(217,1),(218,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(188,1),(217,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(180,1),(189,1),(218,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(184,1),(221,1)}
       205:{2,5,7}:{(182,1),(185,1),(186,1),(221,1)}
       206:{1,4,5}:{(183,1),(184,1),(187,1),(222,1),(239,1)}
       207:{2,4,6}:{(184,1),(185,1),(221,1),(222,1),(223,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(220,1),(223,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(194,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(195,1),(196,1),(225,1),(226,1),(241,1)}
       212:{2,4,5}:{(193,1),(194,1),(197,1),(227,1),(234,1)}
       213:{1,4,6}:{(194,1),(195,1),(225,1),(227,1),(228,1)}
       214:{2,5,6}:{(195,1),(199,1),(226,1),(228,1),(229,1)}
       215:{2,6,7}:{(196,1),(199,1),(226,1)}
       216:{1,3,5}:{(197,1),(198,1),(201,1),(227,1),(229,1),(242,1)}
       217:{2,4,6}:{(198,1),(199,1),(200,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(203,1),(230,1),(241,1)}
       219:{1,2,5}:{(201,1),(202,1),(208,1),(229,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(209,1),(230,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(207,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(208,1),(233,1),(234,1)}
       223:{3,6}:{(207,1),(232,1),(233,1)}
       224:{2,3,5}:{(208,1),(209,1),(231,1),(233,1),(234,1)}
       225:{1,4,7}:{(210,1),(211,1),(213,1),(235,1)}
       226:{2,5,7}:{(211,1),(214,1),(215,1),(235,1)}
       227:{1,4,5}:{(212,1),(213,1),(216,1),(236,1),(239,1)}
       228:{2,4,6}:{(213,1),(214,1),(235,1),(236,1),(237,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(224,1),(238,1),(239,1)}
       232:{3,7}:{(221,1),(223,1)}
       233:{3,5}:{(222,1),(223,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(228,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       237:{3,6}:{(228,1),(241,1),(242,1)}
       238:{2,3,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1596 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(36,1),(39,1),(40,1),(41,1),(70,1),(103,1)}
         1:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(26,1),(52,1),(54,1),(55,1),(57,1),(81,1),(82,1)}
         2:{2,4,6}:{(0,1),(4,1),(6,1),(8,1),(9,1),(104,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(24,1),(33,1),(53,1),(58,1)}
         4:{2,4,5}:{(2,1),(11,1),(12,1),(36,1),(85,1)}
         5:{2,5,6}:{(1,1),(14,1),(15,1),(36,1),(70,1),(72,1)}
         6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(91,1)}
         7:{1,3,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(42,1),(46,1),(69,1),(73,1),(74,1)}
         8:{3,4,6}:{(2,1),(12,1),(19,1),(39,1)}
         9:{2,4,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(20,1),(39,1),(70,1)}
        11:{1,4,5}:{(4,1),(6,1),(21,1),(22,1),(52,1),(75,1),(96,1),(104,1)}
        12:{3,5}:{(4,1),(8,1),(92,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(23,1),(24,1),(25,1),(33,1),(53,1),(62,1),(93,1),(102,1),(104,1)}
        14:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
        15:{2,5,7}:{(5,1),(7,1),(27,1),(28,1),(83,1)}
        16:{1,3,4,6}:{(6,1),(8,1),(22,1),(26,1),(29,1),(30,1),(48,1),(54,1),(57,1),(75,1),(77,1),(92,1),(94,1),(101,1),(104,1)}
        17:{1,4,7}:{(6,1),(7,1),(9,1),(27,1),(84,1)}
        18:{1,3,6,7}:{(7,1),(10,1),(28,1),(31,1),(54,1),(59,1),(82,1)}
        19:{3,4,7}:{(8,1),(9,1),(24,1),(104,1)}
        20:{2,4,6,7}:{(9,1),(10,1),(25,1),(31,1),(32,1),(33,1)}
        21:{2,4,5}:{(11,1),(14,1),(34,1),(36,1),(63,1)}
        22:{1,3,5}:{(11,1),(12,1),(16,1),(34,1),(36,1),(88,1),(100,1),(103,1)}
        23:{1,4,5,7}:{(11,1),(13,1),(17,1),(35,1),(37,1),(38,1),(46,1),(69,1),(86,1),(100,1)}
        24:{3,5,7}:{(12,1),(13,1),(19,1),(39,1),(98,1),(103,1)}
        25:{2,4,6}:{(13,1),(38,1),(39,1),(40,1),(70,1),(71,1)}
        26:{3,6}:{(14,1),(34,1),(42,1)}
        27:{2,4,7}:{(14,1),(15,1),(17,1),(42,1)}
        28:{2,6,7}:{(15,1),(18,1),(70,1)}
        29:{2,4,6}:{(16,1),(36,1),(41,1),(44,1),(45,1),(63,1),(70,1),(72,1),(85,1)}
        30:{1,3,4,7}:{(16,1),(17,1),(19,1),(37,1),(42,1),(45,1),(64,1),(73,1),(86,1),(98,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(20,1),(38,1),(43,1),(46,1)}
        32:{3,4,6,7}:{(19,1),(20,1),(39,1),(47,1),(71,1)}
        33:{2,5,7}:{(20,1),(40,1),(46,1),(47,1)}
        34:{3,5}:{(21,1),(26,1),(48,1)}
        35:{2,4,5,7}:{(21,1),(23,1),(27,1),(50,1),(51,1),(53,1),(60,1),(76,1),(84,1),(95,1),(96,1)}
        36:{2,5}:{(22,1),(29,1),(52,1)}
        37:{1,3,5,7}:{(22,1),(23,1),(24,1),(30,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(23,1),(25,1),(51,1),(54,1),(55,1),(82,1)}
        39:{3,6}:{(24,1),(25,1)}
        40:{2,5,6}:{(25,1),(33,1),(55,1),(56,1),(102,1)}
        41:{2,3,6}:{(26,1),(29,1),(49,1),(57,1),(58,1),(92,1),(101,1)}
        42:{3,7}:{(26,1),(27,1)}
        43:{2,4,6,7}:{(27,1),(28,1),(31,1),(51,1),(59,1),(60,1),(84,1)}
        44:{1,4,6}:{(29,1),(52,1),(57,1),(61,1),(75,1),(82,1)}
        45:{2,4,7}:{(29,1),(30,1),(53,1),(58,1),(61,1),(83,1)}
        46:{1,5,7}:{(31,1),(33,1),(55,1),(60,1)}
        47:{3,5,7}:{(32,1),(33,1),(56,1),(62,1)}
        48:{3,4}:{(34,1),(63,1)}
        49:{2,3,5}:{(34,1),(36,1),(41,1),(63,1),(65,1),(103,1)}
        50:{3,5,7}:{(34,1),(35,1),(42,1),(64,1),(67,1),(88,1)}
        51:{2,4,6}:{(35,1),(38,1),(67,1),(68,1),(70,1),(91,1)}
        52:{1,5}:{(36,1),(44,1)}
        53:{2,5,7}:{(36,1),(37,1),(45,1),(69,1),(70,1)}
        54:{1,3,6}:{(37,1),(38,1),(39,1),(67,1),(70,1)}
        55:{1,5,6}:{(38,1),(40,1),(46,1),(68,1),(100,1)}
        56:{3,5,6}:{(39,1),(40,1),(47,1),(71,1),(103,1)}
        57:{1,3,6}:{(41,1),(44,1),(65,1),(72,1),(73,1)}
        58:{2,3,7}:{(41,1),(42,1),(45,1),(73,1),(98,1)}
        59:{3,6,7}:{(42,1),(43,1),(67,1),(74,1)}
        60:{2,5,7}:{(43,1),(46,1),(68,1),(74,1)}
        61:{1,4,7}:{(44,1),(45,1),(69,1),(73,1)}
        62:{4,5,7}:{(47,1),(71,1)}
        63:{2,4}:{(48,1),(49,1),(75,1),(104,1)}
        64:{3,4,7}:{(48,1),(50,1),(76,1),(77,1),(84,1)}
        65:{1,3,5}:{(49,1),(52,1),(57,1),(75,1),(78,1),(92,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(58,1),(76,1),(79,1),(80,1),(95,1)}
        67:{3,6}:{(50,1),(51,1)}
        68:{2,5,6}:{(51,1),(55,1),(60,1),(81,1),(95,1)}
        69:{1,5,7}:{(52,1),(53,1),(61,1),(82,1)}
        70:{2,6}:{(53,1),(54,1),(82,1)}
        71:{4,6}:{(56,1),(62,1),(104,1)}
        72:{2,6}:{(57,1),(78,1),(83,1)}
        73:{1,3,7}:{(57,1),(58,1),(61,1),(83,1)}
        74:{3,5,7}:{(59,1),(60,1),(81,1),(84,1)}
        75:{1,4}:{(63,1),(65,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{3,4,6}:{(64,1),(67,1),(87,1),(88,1),(91,1)}
        78:{2,5}:{(65,1),(72,1),(85,1)}
        79:{1,3,5,7}:{(65,1),(66,1),(69,1),(73,1),(86,1),(89,1),(90,1),(98,1),(100,1),(103,1)}
        80:{2,3,6}:{(66,1),(67,1),(70,1),(87,1),(90,1)}
        81:{3,5,6}:{(67,1),(68,1),(74,1),(88,1),(91,1)}
        82:{1,6}:{(69,1),(70,1)}
        83:{2,7}:{(72,1),(73,1)}
        84:{4,7}:{(74,1),(91,1)}
        85:{2,4}:{(75,1),(78,1),(92,1)}
        86:{1,4,7}:{(75,1),(76,1),(79,1),(93,1),(94,1),(104,1)}
        87:{2,4,6}:{(76,1),(77,1),(80,1),(94,1),(95,1)}
        88:{3,5}:{(77,1),(95,1),(96,1)}
        89:{2,5,7}:{(78,1),(79,1),(83,1),(93,1),(97,1),(102,1)}
        90:{1,3,6}:{(79,1),(80,1),(82,1),(94,1),(97,1),(101,1)}
        91:{4,6}:{(81,1),(84,1),(96,1)}
        92:{3}:{(85,1)}
        93:{2,4,7}:{(85,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(90,1),(99,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(100,1)}
        96:{4,5}:{(88,1),(91,1)}
        97:{2,6}:{(89,1),(90,1)}
        98:{3,7}:{(92,1),(93,1),(101,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(101,1),(102,1),(104,1)}
       100:{1,5}:{(94,1),(95,1),(102,1)}
       101:{3,6}:{(98,1),(99,1),(103,1)}
       102:{2,5}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1597 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(6,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(5,1),(7,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(84,1),(121,1)}
         5:{3,4,6,7}:{(2,1),(3,1),(12,1)}
         6:{2,5,6,7}:{(2,1),(12,1),(13,1),(115,1)}
         7:{2,4,5,7}:{(3,1),(4,1),(12,1),(14,1),(15,1),(96,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(11,1),(14,1),(16,1)}
         9:{1,4,5,6}:{(4,1),(15,1),(16,1),(17,1),(67,1),(116,1)}
        10:{2,3,4,5}:{(11,1),(18,1),(69,1),(100,1)}
        11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(73,1),(84,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(7,1),(21,1),(22,1)}
        13:{1,5,6,7}:{(6,1),(22,1),(23,1),(106,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(19,1),(21,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(9,1),(22,1),(24,1),(25,1),(81,1),(106,1)}
        16:{1,3,5,6}:{(8,1),(9,1),(20,1),(24,1),(26,1),(27,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(26,1),(27,1),(51,1),(79,1),(107,1)}
        18:{1,3,4,5}:{(10,1),(20,1),(28,1),(52,1),(53,1),(85,1)}
        19:{2,3,4,7}:{(11,1),(14,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(16,1),(18,1),(29,1),(30,1),(38,1),(57,1),(67,1)}
        21:{2,3,6,7}:{(12,1),(14,1),(31,1)}
        22:{1,4,6,7}:{(12,1),(13,1),(15,1),(31,1),(32,1)}
        23:{2,5,6,7}:{(13,1),(32,1),(33,1),(94,1)}
        24:{1,3,5,7}:{(14,1),(15,1),(16,1),(29,1),(31,1),(34,1),(35,1)}
        25:{2,4,5,7}:{(15,1),(17,1),(32,1),(34,1),(35,1),(62,1),(64,1),(94,1)}
        26:{2,5,6}:{(16,1),(30,1),(34,1)}
        27:{3,5,6}:{(17,1),(35,1),(38,1)}
        28:{2,4,5}:{(18,1),(30,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(24,1),(41,1),(49,1),(71,1),(81,1)}
        30:{2,4,6}:{(20,1),(26,1),(28,1),(41,1),(43,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1)}
        32:{2,4,6,7}:{(22,1),(23,1),(25,1),(44,1),(45,1),(46,1)}
        33:{3,5,6,7}:{(23,1),(45,1),(46,1),(78,1)}
        34:{2,5,7}:{(24,1),(26,1),(41,1),(44,1)}
        35:{3,5,7}:{(25,1),(27,1),(45,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(42,1),(47,1),(50,1),(104,1),(119,1)}
        37:{2,3,5,6}:{(26,1),(27,1),(43,1),(48,1),(50,1),(51,1),(75,1),(103,1),(107,1)}
        38:{3,4,6}:{(27,1),(49,1),(51,1),(52,1)}
        39:{1,2,4,5}:{(28,1),(42,1),(53,1),(85,1),(86,1),(104,1)}
        40:{2,3,5}:{(28,1),(43,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(34,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(36,1),(39,1),(55,1),(57,1),(67,1),(90,1)}
        43:{2,3,6}:{(30,1),(40,1),(56,1),(57,1)}
        44:{2,6,7}:{(31,1),(34,1)}
        45:{3,6,7}:{(32,1),(35,1)}
        46:{4,6,7}:{(33,1),(62,1)}
        47:{1,2,5,7}:{(34,1),(36,1),(55,1),(59,1),(63,1),(112,1)}
        48:{2,3,5,7}:{(34,1),(35,1),(37,1),(56,1),(60,1),(63,1),(64,1),(94,1)}
        49:{3,4,7}:{(35,1),(38,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(57,1),(63,1),(66,1),(67,1),(91,1),(113,1),(116,1)}
        51:{2,4,6}:{(37,1),(38,1),(64,1),(67,1),(68,1)}
        52:{3,4,5}:{(38,1),(68,1)}
        53:{1,3,5}:{(39,1),(40,1),(57,1),(69,1),(70,1)}
        54:{2,3,4}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(47,1),(71,1),(81,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(53,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(51,1),(54,1),(72,1),(74,1),(75,1),(103,1)}
        59:{1,2,6,7}:{(44,1),(47,1),(76,1),(119,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(48,1),(76,1),(77,1),(103,1)}
        61:{3,4,6,7}:{(45,1),(46,1),(49,1),(77,1),(78,1),(83,1)}
        62:{4,5,7}:{(46,1),(78,1),(79,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(71,1),(76,1),(80,1),(81,1),(106,1)}
        64:{2,4,7}:{(48,1),(49,1),(51,1),(81,1)}
        65:{3,4,5,7}:{(49,1),(52,1),(78,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(50,1),(73,1),(80,1),(84,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        67:{1,4,6}:{(50,1),(51,1),(81,1),(84,1),(85,1)}
        68:{2,4,5}:{(51,1),(52,1),(75,1),(85,1)}
        69:{2,3,5}:{(53,1),(73,1),(86,1),(104,1)}
        70:{1,3,4}:{(53,1),(54,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(64,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(69,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(67,1),(70,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(68,1),(91,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(63,1),(92,1),(93,1),(113,1)}
        77:{2,4,6,7}:{(60,1),(61,1),(64,1),(93,1),(94,1),(98,1)}
        78:{3,5,7}:{(61,1),(62,1),(94,1),(95,1)}
        79:{4,5,6}:{(62,1),(95,1)}
        80:{2,3,5,7}:{(63,1),(66,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        81:{1,4,7}:{(63,1),(64,1),(67,1),(96,1)}
        82:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(94,1),(97,1),(98,1)}
        83:{3,4,6}:{(65,1),(95,1),(98,1)}
        84:{2,4,6}:{(66,1),(67,1),(96,1),(99,1),(100,1)}
        85:{1,4,5}:{(67,1),(68,1),(91,1),(100,1)}
        86:{2,4}:{(69,1),(70,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(81,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(82,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(86,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(85,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(76,1),(80,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(76,1),(77,1),(81,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(77,1),(78,1),(106,1),(107,1)}
        95:{3,5,6}:{(78,1),(79,1),(83,1),(107,1)}
        96:{2,4,7}:{(80,1),(81,1),(84,1),(108,1)}
        97:{1,4,5,7}:{(81,1),(82,1),(85,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(82,1),(83,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(84,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(84,1),(85,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1598 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(14,1),(50,1),(82,1),(83,1),(93,1),(94,1),(104,1),(144,1),(147,1),(158,1),(211,1)}
         1:{2,4,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(28,1),(57,1),(67,1),(70,1),(111,1),(124,1),(131,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(29,1),(73,1),(74,1),(133,1),(181,1),(241,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(35,1),(41,1),(82,1),(83,1),(144,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(15,1),(44,1),(144,1),(158,1),(211,1),(264,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(17,1),(38,1),(82,1),(93,1),(95,1),(161,1)}
         7:{2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(54,1),(104,1)}
         9:{2,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(22,1),(55,1),(57,1),(111,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(22,1),(23,1),(61,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(24,1),(25,1),(175,1)}
        12:{1,4,6,7}:{(4,1),(23,1),(25,1),(116,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(26,1),(27,1),(57,1),(70,1),(117,1),(177,1),(178,1),(192,1),(238,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(26,1),(28,1),(29,1),(66,1),(284,1)}
        15:{2,3,6}:{(5,1),(7,1),(29,1),(133,1),(241,1),(283,1)}
        16:{1,2,4,5,7}:{(6,1),(28,1),(31,1),(32,1),(59,1),(63,1),(70,1),(111,1),(114,1),(120,1),(124,1),(126,1),(131,1),(137,1),(176,1),(182,1),(187,1),(245,1),(284,1),(285,1)}
        17:{1,4,6}:{(6,1),(7,1),(29,1),(33,1)}
        18:{2,5,6}:{(7,1),(8,1),(22,1),(33,1),(131,1)}
        19:{1,4,5,6}:{(8,1),(23,1),(34,1),(73,1),(137,1),(138,1),(181,1)}
        20:{2,3,6,7}:{(9,1),(15,1),(35,1),(36,1),(41,1),(87,1),(144,1)}
        21:{1,4,6,7}:{(9,1),(17,1),(35,1),(38,1),(82,1)}
        22:{2,5,7}:{(9,1),(10,1),(18,1),(38,1)}
        23:{1,4,5,7}:{(10,1),(12,1),(19,1),(39,1),(82,1),(148,1)}
        24:{1,5,6,7}:{(11,1),(38,1),(40,1),(205,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(87,1),(210,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(42,1),(43,1),(82,1),(88,1),(95,1),(144,1),(212,1),(265,1)}
        27:{2,3,4,6}:{(13,1),(15,1),(43,1),(44,1),(49,1),(99,1),(150,1),(167,1),(168,1),(216,1),(225,1),(230,1)}
        28:{2,5,7}:{(14,1),(42,1),(47,1),(92,1)}
        29:{1,3,6}:{(14,1),(15,1),(17,1),(47,1),(297,1)}
        30:{2,3,5,6}:{(15,1),(18,1),(36,1),(44,1),(48,1),(49,1),(54,1),(106,1),(168,1)}
        31:{1,3,5,7}:{(16,1),(46,1),(50,1),(51,1),(88,1),(104,1),(144,1),(153,1),(158,1),(211,1),(270,1),(298,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(51,1),(52,1),(99,1),(101,1),(105,1),(160,1),(210,1),(214,1),(269,1),(297,1)}
        33:{1,5,6}:{(17,1),(18,1),(38,1),(161,1)}
        34:{2,4,5,6}:{(18,1),(19,1),(39,1),(49,1),(53,1),(54,1),(101,1),(106,1),(166,1),(210,1)}
        35:{1,3,6,7}:{(20,1),(21,1),(29,1),(55,1),(56,1),(116,1)}
        36:{2,3,5,7}:{(20,1),(22,1),(30,1),(56,1),(57,1),(61,1),(115,1),(178,1)}
        37:{1,2,4,6,7}:{(21,1),(32,1),(55,1),(58,1),(59,1),(109,1),(111,1),(114,1),(195,1),(243,1),(285,1)}
        38:{1,5,7}:{(21,1),(22,1),(33,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(25,1),(34,1),(57,1),(60,1),(61,1),(111,1),(115,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(236,1)}
        41:{3,6,7}:{(25,1),(61,1),(241,1)}
        42:{2,4,7}:{(26,1),(28,1),(64,1),(65,1),(242,1)}
        43:{1,3,4,6}:{(26,1),(27,1),(29,1),(65,1),(66,1),(73,1),(119,1),(127,1),(133,1),(187,1),(192,1),(203,1),(254,1),(259,1)}
        44:{2,3,5}:{(27,1),(66,1),(67,1),(131,1),(202,1),(258,1)}
        45:{1,2,5,7}:{(28,1),(63,1),(68,1),(69,1),(120,1),(182,1),(284,1)}
        46:{2,3,5,7}:{(28,1),(31,1),(64,1),(68,1),(70,1),(71,1),(117,1),(123,1),(131,1),(182,1),(184,1)}
        47:{2,6}:{(28,1),(29,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(33,1),(56,1),(66,1),(72,1),(73,1),(133,1),(138,1),(203,1)}
        49:{2,4,6}:{(30,1),(57,1),(67,1),(73,1),(74,1)}
        50:{1,3,4,7}:{(31,1),(70,1),(76,1),(114,1),(177,1),(187,1),(192,1),(246,1)}
        51:{1,3,6}:{(31,1),(32,1),(71,1),(133,1),(241,1),(286,1)}
        52:{1,2,5,6}:{(32,1),(33,1),(59,1),(72,1),(77,1),(120,1),(131,1),(175,1),(196,1),(244,1),(260,1)}
        53:{1,4,5,6}:{(33,1),(34,1),(60,1),(73,1),(78,1),(197,1),(236,1)}
        54:{3,5,6}:{(34,1),(61,1),(74,1),(133,1),(202,1),(241,1)}
        55:{2,6,7}:{(35,1),(47,1),(81,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(38,1),(48,1),(81,1),(82,1),(144,1),(148,1),(212,1)}
        57:{2,4,7}:{(36,1),(49,1),(82,1),(83,1)}
        58:{1,3,6,7}:{(37,1),(51,1),(80,1),(85,1),(144,1),(297,1),(298,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(52,1),(81,1),(85,1),(142,1),(227,1),(266,1),(268,1)}
        60:{1,4,5,7}:{(38,1),(39,1),(40,1),(53,1),(82,1),(86,1)}
        61:{3,5,7}:{(39,1),(41,1),(54,1),(83,1),(144,1)}
        62:{1,3,6,7}:{(40,1),(41,1),(86,1),(87,1),(263,1)}
        63:{1,2,4,7}:{(42,1),(45,1),(88,1),(89,1),(95,1),(149,1),(265,1),(266,1)}
        64:{2,3,7}:{(42,1),(88,1),(91,1),(144,1)}
        65:{2,4,6}:{(42,1),(43,1),(47,1),(91,1),(92,1),(157,1),(234,1),(278,1)}
        66:{1,3,5}:{(43,1),(44,1),(92,1),(93,1),(158,1),(161,1),(281,1)}
        67:{2,4,5}:{(44,1),(49,1),(93,1),(94,1),(216,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(88,1),(95,1),(96,1),(153,1),(161,1)}
        69:{1,2,6}:{(45,1),(47,1),(96,1),(214,1),(297,1)}
        70:{2,4,7}:{(46,1),(50,1),(95,1),(99,1),(157,1),(216,1)}
        71:{2,3,6}:{(46,1),(47,1),(51,1),(96,1),(99,1),(214,1)}
        72:{2,5,6}:{(47,1),(48,1),(81,1),(92,1),(101,1),(234,1)}
        73:{1,4,6}:{(48,1),(49,1),(82,1),(93,1),(101,1)}
        74:{3,4,6}:{(49,1),(54,1),(83,1),(94,1)}
        75:{1,3,4,5,7}:{(50,1),(98,1),(103,1),(104,1),(147,1),(151,1),(170,1),(211,1),(219,1),(224,1),(270,1),(272,1),(277,1),(298,1)}
        76:{1,3,4,6}:{(50,1),(51,1),(99,1),(104,1),(105,1),(167,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(85,1),(100,1),(104,1),(105,1),(153,1),(231,1),(281,1),(297,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(86,1),(102,1),(106,1),(229,1),(263,1)}
        79:{1,2,6,7}:{(55,1),(69,1),(107,1),(108,1),(116,1),(243,1),(283,1),(306,1)}
        80:{2,3,6,7}:{(55,1),(58,1),(71,1),(107,1),(109,1),(110,1),(241,1),(243,1),(283,1)}
        81:{2,5,7}:{(55,1),(56,1),(72,1),(111,1),(242,1)}
        82:{1,4,7}:{(56,1),(57,1),(73,1),(111,1)}
        83:{3,4,7}:{(57,1),(61,1),(74,1)}
        84:{1,3,4,6,7}:{(58,1),(76,1),(109,1),(113,1),(114,1),(177,1),(181,1),(241,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(77,1),(110,1),(114,1),(239,1),(284,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(62,1),(78,1),(112,1),(115,1)}
        87:{2,6,7}:{(62,1),(115,1),(116,1),(283,1)}
        88:{1,3,7}:{(63,1),(64,1),(117,1),(119,1)}
        89:{1,2,4,6}:{(63,1),(65,1),(69,1),(119,1),(120,1),(127,1),(183,1),(187,1),(259,1),(260,1),(292,1)}
        90:{2,3,4,7}:{(64,1),(70,1),(118,1),(121,1),(122,1),(177,1),(238,1),(246,1),(252,1),(307,1)}
        91:{2,3,6}:{(64,1),(65,1),(119,1),(123,1),(133,1),(293,1)}
        92:{2,5}:{(65,1),(66,1)}
        93:{1,4,5}:{(66,1),(67,1),(73,1),(124,1),(187,1)}
        94:{3,4,5}:{(67,1),(74,1),(202,1),(246,1)}
        95:{1,4,7}:{(68,1),(70,1),(127,1),(187,1)}
        96:{1,3,6}:{(68,1),(69,1),(71,1),(127,1)}
        97:{1,2,5,6}:{(69,1),(72,1),(108,1),(120,1),(128,1),(129,1),(138,1),(244,1),(258,1),(283,1),(295,1)}
        98:{2,4,5,7}:{(70,1),(75,1),(121,1),(126,1),(130,1),(131,1),(182,1),(191,1),(200,1),(245,1),(252,1),(285,1)}
        99:{2,4,6}:{(70,1),(71,1),(76,1),(127,1),(131,1)}
       100:{2,3,5,6}:{(71,1),(72,1),(77,1),(110,1),(123,1),(128,1),(131,1),(132,1),(133,1),(175,1),(184,1),(199,1),(202,1),(241,1),(244,1),(258,1),(283,1),(286,1)}
       101:{2,4,6}:{(72,1),(73,1),(111,1),(124,1),(133,1)}
       102:{1,3,4,6}:{(73,1),(74,1),(78,1),(112,1),(125,1),(133,1),(134,1),(203,1)}
       103:{1,3,4,6}:{(75,1),(130,1),(136,1),(181,1),(185,1),(241,1),(248,1),(253,1),(286,1)}
       104:{1,3,5}:{(76,1),(131,1),(137,1),(202,1)}
       105:{1,4,6}:{(77,1),(114,1),(132,1),(137,1),(187,1)}
       106:{2,5,6}:{(78,1),(115,1),(134,1),(138,1),(258,1),(283,1)}
       107:{1,3,6,7}:{(79,1),(80,1),(96,1),(139,1),(140,1),(263,1)}
       108:{1,2,5,7}:{(79,1),(81,1),(97,1),(140,1),(141,1),(148,1),(264,1),(268,1),(305,1)}
       109:{2,4,6,7}:{(80,1),(84,1),(99,1),(139,1),(142,1),(143,1),(210,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(85,1),(100,1),(140,1),(142,1),(143,1),(144,1),(208,1),(211,1),(264,1),(268,1),(298,1)}
       111:{2,4,7}:{(81,1),(82,1),(101,1),(144,1)}
       112:{1,3,4,7}:{(82,1),(83,1),(86,1),(102,1),(144,1),(145,1),(212,1)}
       113:{1,3,5,7}:{(84,1),(104,1),(142,1),(146,1),(147,1),(211,1)}
       114:{1,4,7}:{(85,1),(105,1),(143,1)}
       115:{2,5,7}:{(86,1),(87,1),(106,1),(145,1),(148,1)}
       116:{1,6,7}:{(87,1),(148,1),(297,1)}
       117:{2,3,7}:{(88,1),(149,1),(150,1),(298,1)}
       118:{1,3,4,7}:{(88,1),(90,1),(95,1),(149,1),(151,1),(152,1),(265,1),(272,1),(298,1),(312,1)}
       119:{1,3,6}:{(88,1),(89,1),(91,1),(150,1),(153,1),(304,1)}
       120:{1,2,5}:{(89,1),(92,1),(153,1),(161,1),(215,1),(281,1)}
       121:{2,3,5,7}:{(90,1),(98,1),(151,1),(155,1),(156,1),(211,1),(264,1),(270,1),(298,1)}
       122:{2,3,4,6}:{(90,1),(91,1),(99,1),(152,1),(155,1),(156,1),(157,1),(167,1),(223,1),(230,1),(271,1),(299,1)}
       123:{2,3,5}:{(91,1),(92,1),(153,1),(157,1),(158,1)}
       124:{2,4,5}:{(92,1),(93,1),(101,1),(157,1),(158,1)}
       125:{1,3,4,5}:{(93,1),(94,1),(102,1),(158,1),(159,1),(220,1),(226,1),(229,1)}
       126:{1,4,5,7}:{(95,1),(98,1),(151,1),(160,1),(161,1),(219,1),(227,1),(272,1)}
       127:{1,4,6}:{(95,1),(96,1),(99,1),(161,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(140,1),(153,1),(161,1),(162,1),(163,1),(205,1),(229,1),(263,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(141,1),(154,1),(162,1),(163,1),(169,1),(230,1),(234,1),(269,1),(303,1),(313,1)}
       130:{2,4,6}:{(98,1),(103,1),(155,1),(160,1),(165,1),(214,1)}
       131:{2,5}:{(99,1),(104,1),(161,1)}
       132:{2,4,6}:{(100,1),(105,1),(143,1),(157,1),(162,1),(166,1),(167,1),(216,1)}
       133:{3,6}:{(101,1),(144,1),(158,1)}
       134:{2,4,6}:{(102,1),(106,1),(145,1),(159,1),(168,1),(169,1),(234,1)}
       135:{1,3,4,6,7}:{(103,1),(164,1),(170,1),(213,1),(217,1),(267,1),(272,1),(277,1),(298,1)}
       136:{1,3,5,6}:{(103,1),(104,1),(165,1),(170,1),(171,1),(233,1)}
       137:{1,4,5}:{(104,1),(105,1),(166,1),(281,1)}
       138:{1,5,6}:{(106,1),(148,1),(169,1),(281,1),(297,1)}
       139:{1,4,6,7}:{(107,1),(109,1),(127,1),(172,1),(173,1),(236,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(110,1),(128,1),(172,1),(173,1),(174,1)}
       141:{1,2,4,7}:{(108,1),(111,1),(129,1),(173,1),(174,1),(179,1),(238,1),(242,1),(285,1),(311,1),(314,1)}
       142:{2,5,7}:{(109,1),(113,1),(131,1),(172,1),(175,1)}
       143:{2,4,7}:{(110,1),(114,1),(132,1),(173,1),(177,1)}
       144:{3,7}:{(111,1),(133,1)}
       145:{2,4,7}:{(112,1),(115,1),(134,1),(178,1),(179,1),(242,1)}
       146:{1,3,5,6}:{(113,1),(175,1),(181,1),(241,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(137,1),(176,1),(181,1),(284,1)}
       148:{1,5,7}:{(115,1),(116,1),(138,1),(179,1)}
       149:{2,4,7}:{(117,1),(118,1),(182,1),(183,1),(314,1)}
       150:{2,3,6}:{(117,1),(119,1),(183,1),(184,1),(286,1),(310,1)}
       151:{1,3,5,7}:{(118,1),(121,1),(126,1),(182,1),(185,1),(186,1),(284,1)}
       152:{1,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(183,1),(185,1),(186,1),(187,1),(246,1),(248,1),(259,1),(286,1),(288,1),(308,1)}
       153:{1,3,5}:{(119,1),(120,1),(123,1),(184,1),(187,1)}
       154:{1,2,4,5}:{(120,1),(124,1),(129,1),(187,1),(188,1),(194,1),(197,1),(245,1),(250,1),(255,1),(258,1),(291,1),(292,1),(309,1)}
       155:{2,3,6}:{(121,1),(130,1),(185,1),(241,1),(283,1),(286,1)}
       156:{2,3,5}:{(122,1),(131,1),(186,1),(191,1),(202,1),(258,1)}
       157:{2,4}:{(123,1),(187,1),(192,1)}
       158:{3,5}:{(124,1),(133,1),(192,1)}
       159:{2,4,5}:{(125,1),(134,1),(193,1),(194,1),(250,1),(255,1),(258,1)}
       160:{1,4,6}:{(126,1),(130,1),(185,1),(196,1)}
       161:{1,5}:{(127,1),(131,1)}
       162:{1,4,6}:{(128,1),(132,1),(173,1),(187,1),(197,1)}
       163:{1,3,6}:{(129,1),(133,1),(174,1),(188,1),(199,1),(286,1)}
       164:{2,4,6,7}:{(130,1),(135,1),(189,1),(195,1),(200,1),(243,1),(252,1),(285,1)}
       165:{2,5,6}:{(130,1),(131,1),(136,1),(196,1),(200,1)}
       166:{2,4,5}:{(131,1),(132,1),(137,1),(197,1),(202,1),(258,1)}
       167:{3,4,6}:{(132,1),(133,1),(177,1),(192,1),(202,1),(241,1),(246,1),(286,1)}
       168:{2,3,6}:{(133,1),(134,1),(178,1),(193,1),(203,1)}
       169:{1,4,6}:{(134,1),(138,1),(179,1),(194,1),(203,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(200,1),(204,1),(261,1)}
       171:{1,4,5,6}:{(136,1),(137,1),(181,1),(201,1),(204,1),(248,1),(295,1)}
       172:{1,5,7}:{(139,1),(142,1),(161,1),(205,1)}
       173:{1,4,7}:{(140,1),(143,1),(162,1)}
       174:{1,3,7}:{(141,1),(144,1),(163,1),(208,1),(298,1)}
       175:{2,5,6}:{(142,1),(146,1),(205,1),(210,1)}
       176:{2,4,5,7}:{(142,1),(143,1),(147,1),(166,1),(206,1),(210,1),(211,1),(264,1)}
       177:{3,4,7}:{(143,1),(144,1),(167,1),(211,1),(298,1)}
       178:{2,3,7}:{(144,1),(145,1),(168,1),(212,1)}
       179:{1,4,7}:{(145,1),(148,1),(169,1),(212,1)}
       180:{1,3,5,6,7}:{(146,1),(170,1),(209,1),(213,1),(267,1)}
       181:{1,4,6}:{(146,1),(147,1),(210,1),(297,1)}
       182:{2,5,7}:{(149,1),(151,1),(214,1),(215,1)}
       183:{2,4,6}:{(149,1),(150,1),(152,1),(214,1),(215,1),(216,1),(301,1),(313,1)}
       184:{2,3,5}:{(150,1),(153,1),(215,1),(216,1),(270,1)}
       185:{1,3,6}:{(151,1),(155,1),(160,1),(214,1),(297,1)}
       186:{1,3,5}:{(152,1),(156,1),(161,1),(215,1),(219,1),(270,1),(281,1)}
       187:{1,4}:{(153,1),(157,1),(216,1)}
       188:{1,3,5}:{(154,1),(158,1),(163,1),(220,1),(221,1),(270,1),(304,1)}
       189:{2,3,6,7}:{(155,1),(164,1),(217,1),(222,1),(267,1),(296,1),(298,1)}
       190:{2,3,5,6}:{(155,1),(156,1),(165,1),(218,1),(222,1),(223,1),(233,1),(280,1),(299,1)}
       191:{2,4,5}:{(156,1),(157,1),(219,1),(223,1),(224,1)}
       192:{3,4}:{(157,1),(158,1)}
       193:{2,3,5}:{(158,1),(159,1),(168,1),(225,1),(226,1)}
       194:{1,4,5}:{(159,1),(169,1),(226,1),(275,1),(281,1)}
       195:{1,4,6,7}:{(160,1),(164,1),(217,1),(227,1),(272,1)}
       196:{1,5,6}:{(160,1),(161,1),(165,1),(227,1)}
       197:{1,4,5}:{(161,1),(162,1),(166,1),(229,1)}
       198:{1,3,4,6}:{(162,1),(163,1),(167,1),(207,1),(220,1),(229,1),(230,1),(263,1)}
       199:{2,3,6}:{(163,1),(208,1),(221,1),(230,1),(231,1),(234,1),(313,1)}
       200:{2,5,7}:{(164,1),(165,1),(170,1),(227,1)}
       201:{2,4,5,6}:{(165,1),(166,1),(171,1),(210,1),(223,1),(228,1),(232,1),(233,1),(269,1),(280,1)}
       202:{3,5}:{(166,1),(167,1)}
       203:{1,3,6}:{(168,1),(169,1),(212,1),(226,1),(234,1)}
       204:{1,4,5,7}:{(170,1),(171,1),(213,1),(232,1),(272,1),(305,1)}
       205:{1,5,6}:{(172,1),(175,1),(236,1)}
       206:{1,4,5,7}:{(172,1),(173,1),(176,1),(197,1),(236,1),(237,1)}
       207:{1,3,4,7}:{(173,1),(174,1),(177,1),(198,1),(237,1),(238,1)}
       208:{2,3,7}:{(174,1),(199,1),(238,1),(239,1),(242,1),(314,1)}
       209:{2,5,6,7}:{(175,1),(180,1),(200,1),(235,1),(240,1)}
       210:{2,4,6}:{(175,1),(176,1),(181,1),(236,1),(241,1),(283,1)}
       211:{3,5,7}:{(176,1),(177,1),(202,1),(241,1)}
       212:{1,3,7}:{(178,1),(179,1),(203,1),(242,1)}
       213:{1,4,6,7}:{(180,1),(181,1),(204,1),(240,1),(306,1)}
       214:{2,6}:{(182,1),(185,1)}
       215:{2,5}:{(183,1),(186,1)}
       216:{2,4}:{(184,1),(187,1),(246,1)}
       217:{1,3,6,7}:{(185,1),(189,1),(195,1),(243,1),(247,1),(306,1)}
       218:{1,3,5,6}:{(185,1),(186,1),(190,1),(196,1),(244,1),(247,1),(248,1),(286,1),(295,1),(308,1)}
       219:{1,4,5}:{(186,1),(187,1),(191,1),(245,1),(248,1)}
       220:{1,3,4}:{(187,1),(188,1),(192,1),(246,1),(250,1)}
       221:{2,3,5}:{(188,1),(199,1),(250,1),(251,1),(255,1),(258,1),(293,1),(309,1),(310,1)}
       222:{2,3,5,7}:{(189,1),(190,1),(200,1),(247,1),(252,1),(261,1),(294,1),(307,1)}
       223:{2,4,6}:{(190,1),(191,1),(248,1),(252,1),(253,1)}
       224:{3,4,5}:{(191,1),(192,1),(202,1),(253,1)}
       225:{2,3,4}:{(192,1),(193,1),(250,1),(254,1),(310,1)}
       226:{1,3,5}:{(193,1),(194,1),(203,1),(254,1),(255,1)}
       227:{1,5,7}:{(195,1),(196,1),(200,1)}
       228:{1,4,5,6}:{(196,1),(197,1),(201,1),(236,1),(248,1),(256,1),(257,1)}
       229:{1,3,5}:{(197,1),(198,1),(202,1),(258,1)}
       230:{2,4,6}:{(198,1),(199,1),(238,1),(250,1),(258,1),(259,1),(283,1)}
       231:{1,3,6}:{(199,1),(239,1),(251,1),(259,1),(260,1)}
       232:{2,4,5,7}:{(200,1),(201,1),(204,1),(240,1),(252,1),(256,1),(261,1),(285,1),(294,1)}
       233:{3,5,6}:{(201,1),(202,1),(241,1),(253,1),(261,1),(286,1)}
       234:{2,6}:{(203,1),(242,1),(255,1)}
       235:{1,5,6,7}:{(205,1),(209,1),(227,1),(262,1)}
       236:{1,4,6}:{(205,1),(206,1),(210,1),(263,1)}
       237:{1,3,5,7}:{(206,1),(207,1),(211,1),(229,1),(263,1),(264,1)}
       238:{2,4,7}:{(207,1),(208,1),(230,1),(264,1),(265,1)}
       239:{1,3,7}:{(208,1),(231,1),(265,1),(266,1)}
       240:{2,4,6,7}:{(209,1),(210,1),(213,1),(232,1),(262,1),(267,1),(296,1)}
       241:{3,6}:{(210,1),(211,1)}
       242:{2,7}:{(212,1),(234,1)}
       243:{2,6,7}:{(214,1),(217,1),(268,1)}
       244:{2,5,6}:{(214,1),(215,1),(218,1),(268,1),(269,1),(313,1)}
       245:{2,4,5}:{(215,1),(216,1),(219,1),(269,1),(270,1)}
       246:{3,4}:{(216,1),(270,1)}
       247:{1,3,5,7}:{(217,1),(218,1),(222,1),(227,1),(268,1),(272,1),(298,1),(305,1),(312,1)}
       248:{1,4,6}:{(218,1),(219,1),(223,1),(269,1),(272,1)}
       249:{1,3,4,5}:{(219,1),(220,1),(224,1),(229,1),(270,1),(273,1),(274,1),(300,1)}
       250:{2,4}:{(220,1),(221,1),(275,1)}
       251:{1,3,5}:{(221,1),(231,1),(275,1),(276,1),(281,1),(304,1)}
       252:{2,4,7}:{(222,1),(223,1),(272,1),(277,1)}
       253:{3,4,6}:{(223,1),(224,1),(233,1),(277,1)}
       254:{1,3,4}:{(225,1),(226,1),(275,1),(278,1),(304,1)}
       255:{2,5}:{(226,1),(234,1),(278,1)}
       256:{1,4,5,7}:{(227,1),(228,1),(232,1),(262,1),(272,1),(279,1)}
       257:{1,3,5,6}:{(228,1),(229,1),(233,1),(263,1),(273,1),(279,1),(280,1)}
       258:{2,5}:{(229,1),(230,1),(281,1)}
       259:{1,4,6}:{(230,1),(231,1),(265,1),(275,1),(281,1),(297,1)}
       260:{1,2,6}:{(231,1),(234,1),(266,1),(276,1),(313,1)}
       261:{3,5,7}:{(232,1),(233,1),(267,1),(277,1),(298,1)}
       262:{1,4,6,7}:{(235,1),(236,1),(240,1),(256,1),(282,1)}
       263:{1,3,6}:{(236,1),(237,1),(241,1),(283,1)}
       264:{2,5,7}:{(237,1),(238,1),(258,1),(283,1),(284,1)}
       265:{1,4,7}:{(238,1),(239,1),(259,1),(284,1)}
       266:{1,2,7}:{(239,1),(242,1),(260,1),(314,1)}
       267:{3,6,7}:{(240,1),(241,1),(261,1)}
       268:{2,5,7}:{(243,1),(244,1),(247,1),(285,1),(314,1)}
       269:{2,4,6}:{(244,1),(245,1),(248,1),(285,1),(286,1)}
       270:{3,5}:{(245,1),(246,1),(286,1)}
       271:{2,3,4}:{(246,1),(250,1),(287,1),(288,1),(293,1)}
       272:{1,4,7}:{(247,1),(248,1),(252,1),(285,1)}
       273:{1,3,4,6}:{(248,1),(249,1),(253,1),(257,1),(286,1),(289,1),(290,1),(308,1)}
       274:{2,4,5}:{(249,1),(250,1),(258,1),(287,1),(290,1),(291,1),(309,1)}
       275:{1,4}:{(250,1),(251,1)}
       276:{1,2,5}:{(251,1),(255,1),(260,1),(292,1),(309,1)}
       277:{3,4,7}:{(252,1),(253,1),(261,1)}
       278:{2,4}:{(254,1),(255,1),(293,1)}
       279:{1,3,5,7}:{(256,1),(257,1),(261,1),(282,1),(289,1),(294,1)}
       280:{2,5,6}:{(257,1),(258,1),(283,1),(290,1),(294,1),(295,1)}
       281:{1,5}:{(258,1),(259,1)}
       282:{1,3,6,7}:{(262,1),(263,1),(267,1),(279,1),(296,1)}
       283:{2,6}:{(263,1),(264,1),(297,1)}
       284:{1,5,7}:{(264,1),(265,1),(281,1),(297,1)}
       285:{2,4,7}:{(268,1),(269,1),(272,1),(298,1)}
       286:{3,6}:{(269,1),(270,1),(298,1)}
       287:{2,3,5}:{(270,1),(271,1),(274,1),(299,1),(300,1)}
       288:{1,3,4}:{(271,1),(275,1),(300,1),(301,1),(304,1)}
       289:{1,3,4,7}:{(272,1),(273,1),(277,1),(279,1),(298,1),(302,1),(312,1)}
       290:{2,4,6}:{(273,1),(274,1),(280,1),(299,1),(302,1),(303,1),(313,1)}
       291:{1,4,5}:{(274,1),(275,1),(281,1),(300,1),(303,1)}
       292:{1,2,4}:{(275,1),(276,1),(278,1),(301,1),(304,1)}
       293:{2,3}:{(278,1),(304,1)}
       294:{2,5,7}:{(279,1),(280,1),(296,1),(302,1),(305,1)}
       295:{1,5,6}:{(280,1),(281,1),(297,1),(303,1),(305,1)}
       296:{2,6,7}:{(282,1),(283,1),(294,1),(306,1)}
       297:{1,6}:{(283,1),(284,1)}
       298:{3,7}:{(285,1),(286,1)}
       299:{2,3,6}:{(286,1),(287,1),(290,1),(307,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(291,1),(308,1),(309,1)}
       301:{2,4}:{(288,1),(309,1),(310,1)}
       302:{2,4,7}:{(289,1),(290,1),(294,1),(307,1),(311,1),(314,1)}
       303:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(311,1)}
       304:{1,3}:{(292,1),(293,1),(310,1)}
       305:{1,5,7}:{(294,1),(295,1),(306,1),(311,1)}
       306:{1,6,7}:{(296,1),(297,1),(305,1)}
       307:{2,3,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(303,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(313,1)}
       310:{2,3}:{(301,1),(304,1)}
       311:{1,4,7}:{(302,1),(303,1),(305,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1599 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1600 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(92,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(69,1),(110,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(28,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(67,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(30,1),(31,1),(35,1),(66,1)}
         5:{1,3,4,6}:{(1,1),(4,1),(11,1),(12,1),(13,1),(17,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
         6:{1,2,5}:{(1,1),(12,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(13,1),(16,1),(126,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{2,3,5}:{(4,1),(12,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(51,1),(90,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(30,1),(55,1),(59,1),(66,1)}
        12:{1,3,5}:{(5,1),(6,1),(9,1),(21,1),(24,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(10,1),(22,1),(25,1),(62,1),(67,1),(111,1)}
        14:{1,2,5,6}:{(6,1),(23,1),(26,1),(27,1),(29,1),(104,1),(110,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(26,1),(28,1),(64,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(25,1),(29,1)}
        17:{1,3,4}:{(8,1),(28,1),(30,1)}
        18:{2,3,5,6}:{(9,1),(23,1),(31,1),(32,1),(35,1),(66,1),(70,1),(75,1),(104,1)}
        19:{2,4,5}:{(9,1),(24,1),(31,1),(33,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(34,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(37,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(78,1),(90,1)}
        23:{1,3,5,6}:{(12,1),(14,1),(18,1),(36,1),(39,1),(40,1),(43,1),(44,1),(88,1),(89,1),(121,1)}
        24:{1,4,5}:{(12,1),(19,1),(37,1),(39,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(44,1),(45,1),(84,1)}
        27:{1,2,5,7}:{(14,1),(40,1),(45,1),(46,1),(122,1),(126,1)}
        28:{1,3,5}:{(15,1),(17,1),(44,1),(47,1)}
        29:{1,2,6}:{(16,1),(43,1)}
        30:{2,3,4}:{(17,1),(47,1),(48,1)}
        31:{2,4,6}:{(18,1),(19,1),(39,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(18,1),(40,1),(51,1),(52,1),(90,1),(93,1),(96,1),(122,1)}
        33:{3,4,5}:{(19,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(42,1),(51,1),(53,1),(54,1),(96,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,3,5,6}:{(21,1),(23,1),(55,1),(56,1),(59,1),(66,1),(98,1),(103,1),(104,1)}
        37:{2,4,5}:{(21,1),(24,1),(55,1),(57,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(59,1)}
        39:{1,4,6}:{(23,1),(24,1),(31,1),(55,1),(62,1)}
        40:{1,3,5,7}:{(23,1),(27,1),(32,1),(56,1),(62,1),(63,1),(67,1),(109,1),(111,1),(133,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(33,1),(57,1),(61,1),(64,1)}
        42:{1,4,5,7}:{(24,1),(25,1),(34,1),(58,1),(62,1),(65,1),(109,1)}
        43:{1,3,6}:{(25,1),(29,1),(35,1),(59,1),(65,1)}
        44:{1,3,6}:{(26,1),(28,1),(66,1),(67,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(62,1),(67,1),(108,1)}
        46:{1,2,6,7}:{(27,1),(29,1),(63,1),(134,1)}
        47:{2,3,5}:{(28,1),(30,1),(64,1),(66,1),(68,1)}
        48:{1,3,4}:{(30,1),(68,1),(69,1)}
        49:{2,4,5,6}:{(31,1),(60,1),(70,1),(71,1),(75,1),(104,1),(115,1)}
        50:{3,4,6}:{(31,1),(33,1),(70,1),(72,1)}
        51:{2,4,7}:{(31,1),(32,1),(62,1),(72,1)}
        52:{2,3,6,7}:{(32,1),(35,1),(63,1),(73,1),(112,1),(134,1)}
        53:{3,4,5,7}:{(33,1),(34,1),(72,1),(74,1),(114,1)}
        54:{2,4,6}:{(34,1),(35,1),(65,1),(74,1),(75,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(77,1),(78,1)}
        56:{2,3,5,7}:{(36,1),(40,1),(78,1),(79,1),(90,1),(116,1),(119,1),(122,1)}
        57:{3,4,5}:{(37,1),(77,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(78,1),(80,1),(81,1),(119,1)}
        59:{2,3,6}:{(38,1),(43,1),(81,1)}
        60:{1,4,5,6}:{(39,1),(49,1),(76,1),(82,1),(83,1),(88,1),(121,1)}
        61:{1,3,4,6}:{(39,1),(41,1),(44,1),(50,1),(77,1),(82,1),(84,1),(85,1)}
        62:{1,4,7}:{(39,1),(40,1),(51,1),(78,1)}
        63:{1,3,6,7}:{(40,1),(43,1),(46,1),(52,1),(79,1),(86,1),(138,1)}
        64:{2,4,5}:{(41,1),(47,1),(84,1),(87,1)}
        65:{1,4,6}:{(42,1),(43,1),(54,1),(81,1),(88,1)}
        66:{2,3,6}:{(44,1),(47,1),(84,1),(89,1),(90,1)}
        67:{1,3,7}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(47,1),(48,1),(87,1),(89,1),(91,1)}
        69:{1,2,4}:{(48,1),(91,1),(92,1)}
        70:{3,5,6}:{(49,1),(50,1),(93,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(93,1),(94,1),(96,1),(122,1),(128,1)}
        72:{3,4,7}:{(50,1),(51,1),(93,1)}
        73:{2,4,6,7}:{(51,1),(52,1),(54,1),(86,1),(95,1),(96,1)}
        74:{3,4,6}:{(53,1),(54,1),(97,1)}
        75:{2,5,6}:{(54,1),(88,1),(96,1),(97,1)}
        76:{2,4,5,6}:{(55,1),(60,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        77:{3,4,6}:{(55,1),(57,1),(98,1),(100,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1),(100,1)}
        79:{2,3,6,7}:{(56,1),(59,1),(63,1),(101,1),(129,1),(134,1)}
        80:{3,4,5,7}:{(57,1),(58,1),(100,1),(102,1),(131,1)}
        81:{2,4,6}:{(58,1),(59,1),(65,1),(102,1),(103,1)}
        82:{1,3,5,6}:{(60,1),(61,1),(70,1),(98,1),(104,1),(105,1)}
        83:{1,4,5,7}:{(60,1),(62,1),(71,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        84:{2,4,6}:{(61,1),(64,1),(66,1),(104,1),(107,1),(108,1)}
        85:{1,3,4,7}:{(61,1),(62,1),(67,1),(72,1),(100,1),(105,1),(108,1)}
        86:{1,4,6,7}:{(62,1),(63,1),(65,1),(73,1),(101,1),(109,1)}
        87:{1,4,5}:{(64,1),(68,1),(107,1)}
        88:{1,5,6}:{(65,1),(75,1),(103,1),(109,1)}
        89:{1,3,6}:{(66,1),(68,1),(107,1),(110,1),(111,1)}
        90:{2,3,7}:{(66,1),(67,1),(108,1),(111,1)}
        91:{1,2,5}:{(68,1),(69,1),(110,1)}
        92:{1,2,3}:{(69,1)}
        93:{3,5,7}:{(70,1),(71,1),(72,1),(112,1)}
        94:{2,4,6,7}:{(71,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(72,1),(73,1),(74,1),(112,1),(114,1),(135,1)}
        96:{2,5,7}:{(73,1),(75,1),(109,1),(114,1)}
        97:{3,5,6}:{(74,1),(75,1),(114,1),(115,1)}
        98:{3,5,6}:{(76,1),(77,1),(116,1)}
        99:{2,4,5,7}:{(76,1),(78,1),(83,1),(116,1),(117,1),(119,1),(122,1),(137,1)}
       100:{3,4,7}:{(77,1),(78,1),(116,1)}
       101:{2,4,6,7}:{(78,1),(79,1),(81,1),(86,1),(118,1),(119,1)}
       102:{3,4,6}:{(80,1),(81,1),(120,1)}
       103:{2,5,6}:{(81,1),(88,1),(119,1),(120,1)}
       104:{2,5,6}:{(82,1),(84,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(83,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(84,1),(87,1),(89,1),(121,1),(125,1)}
       108:{2,4,7}:{(84,1),(85,1),(90,1),(122,1),(125,1)}
       109:{1,5,7}:{(86,1),(88,1),(96,1),(119,1)}
       110:{1,2,6}:{(89,1),(91,1),(126,1)}
       111:{1,3,7}:{(89,1),(90,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(96,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{2,5,7}:{(101,1),(103,1),(109,1),(131,1)}
       120:{3,5,6}:{(102,1),(103,1),(131,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(119,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1601 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(65,1),(109,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(11,1),(12,1),(13,1),(82,1),(85,1),(123,1)}
         5:{1,2,5,7}:{(1,1),(12,1),(14,1),(15,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(16,1),(88,1),(124,1)}
         7:{1,2,3,5}:{(2,1),(15,1),(16,1),(45,1)}
         8:{2,3,5,7}:{(3,1),(12,1),(17,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(13,1),(18,1),(19,1),(46,1),(50,1),(86,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(51,1),(52,1),(92,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(98,1),(106,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(21,1),(23,1),(24,1),(25,1)}
        13:{1,3,4,6}:{(4,1),(6,1),(9,1),(22,1),(24,1),(25,1),(29,1),(62,1),(65,1),(67,1),(107,1)}
        14:{1,2,6}:{(5,1),(24,1)}
        15:{1,2,5}:{(6,1),(25,1)}
        16:{1,2,4}:{(7,1),(29,1)}
        17:{2,4,5,7}:{(8,1),(10,1),(23,1),(30,1),(33,1),(68,1),(70,1)}
        18:{2,3,6}:{(8,1),(24,1),(30,1)}
        19:{2,3,5}:{(9,1),(25,1),(33,1)}
        20:{3,4,6}:{(10,1),(30,1),(35,1)}
        21:{2,3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(11,1),(13,1),(37,1),(38,1),(46,1),(78,1),(86,1)}
        23:{1,4,5,7}:{(12,1),(17,1),(36,1),(39,1),(42,1),(80,1),(82,1)}
        24:{1,3,6}:{(12,1),(14,1),(18,1),(37,1),(39,1)}
        25:{1,3,5}:{(13,1),(15,1),(19,1),(38,1),(42,1)}
        26:{1,2,6,7}:{(14,1),(40,1),(43,1),(137,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(120,1),(124,1)}
        28:{1,2,4,5}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1)}
        29:{1,3,4}:{(16,1),(45,1),(46,1)}
        30:{2,4,6}:{(17,1),(18,1),(20,1),(39,1),(48,1)}
        31:{2,3,6,7}:{(18,1),(40,1),(47,1),(49,1),(125,1),(137,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(48,1),(49,1),(50,1),(86,1),(91,1),(120,1)}
        33:{2,4,5}:{(19,1),(42,1),(50,1),(51,1)}
        34:{3,4,6,7}:{(20,1),(47,1),(52,1),(92,1),(93,1),(125,1)}
        35:{3,5,6}:{(20,1),(48,1),(52,1),(53,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(55,1),(58,1),(96,1),(98,1)}
        37:{2,3,6}:{(21,1),(24,1),(55,1)}
        38:{2,3,5}:{(22,1),(25,1),(58,1)}
        39:{1,4,6}:{(23,1),(24,1),(30,1),(55,1),(60,1)}
        40:{1,3,6,7}:{(24,1),(26,1),(31,1),(56,1),(59,1),(61,1),(139,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(32,1),(57,1),(60,1),(61,1),(62,1),(65,1),(107,1),(132,1)}
        42:{1,4,5}:{(25,1),(33,1),(58,1),(62,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(61,1),(64,1),(131,1),(134,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(62,1),(64,1),(65,1),(104,1)}
        45:{1,3,5}:{(28,1),(29,1),(65,1),(66,1)}
        46:{2,3,4}:{(29,1),(66,1),(67,1)}
        47:{2,4,6,7}:{(30,1),(31,1),(34,1),(59,1),(68,1),(70,1)}
        48:{2,5,6}:{(30,1),(35,1),(60,1),(68,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(61,1),(68,1),(70,1),(106,1),(111,1),(131,1)}
        50:{2,4,6}:{(32,1),(33,1),(62,1),(70,1),(71,1)}
        51:{3,4,5}:{(33,1),(71,1)}
        52:{3,5,7}:{(34,1),(35,1),(68,1),(73,1)}
        53:{4,5,6}:{(35,1),(73,1)}
        54:{3,4,5,7}:{(36,1),(74,1),(79,1),(112,1),(117,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(74,1),(76,1)}
        56:{2,3,6,7}:{(37,1),(40,1),(75,1),(77,1),(136,1),(137,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(77,1),(78,1),(86,1),(116,1),(120,1)}
        58:{2,4,5}:{(38,1),(42,1),(78,1),(79,1)}
        59:{1,4,6,7}:{(39,1),(40,1),(47,1),(75,1),(80,1),(82,1)}
        60:{1,5,6}:{(39,1),(48,1),(76,1),(80,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(77,1),(80,1),(82,1),(85,1),(123,1),(138,1)}
        62:{1,4,6}:{(41,1),(42,1),(50,1),(78,1),(82,1)}
        63:{1,3,4,5}:{(42,1),(45,1),(51,1),(79,1),(83,1),(84,1)}
        64:{1,2,4,7}:{(43,1),(44,1),(82,1),(85,1),(121,1)}
        65:{1,3,6}:{(44,1),(45,1),(85,1),(86,1)}
        66:{2,3,5}:{(45,1),(46,1),(84,1),(86,1),(87,1)}
        67:{1,3,4}:{(46,1),(87,1),(88,1)}
        68:{2,5,7}:{(47,1),(48,1),(52,1),(80,1)}
        69:{2,4,5,6}:{(48,1),(50,1),(53,1),(81,1),(90,1),(91,1),(120,1)}
        70:{2,4,7}:{(49,1),(50,1),(82,1),(92,1)}
        71:{3,4,6}:{(50,1),(51,1),(91,1),(92,1)}
        72:{3,5,6,7}:{(52,1),(89,1),(93,1),(125,1)}
        73:{4,5,7}:{(52,1),(53,1),(93,1)}
        74:{3,4,6}:{(54,1),(55,1),(95,1)}
        75:{2,4,6,7}:{(55,1),(56,1),(59,1),(94,1),(96,1),(98,1)}
        76:{2,5,6}:{(55,1),(60,1),(95,1),(96,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(96,1),(98,1),(106,1),(129,1),(131,1)}
        78:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(99,1)}
        79:{3,4,5}:{(58,1),(99,1)}
        80:{1,5,7}:{(59,1),(60,1),(68,1),(96,1)}
        81:{1,4,5,6}:{(60,1),(62,1),(69,1),(97,1),(101,1),(102,1),(132,1)}
        82:{1,4,7}:{(61,1),(62,1),(70,1),(98,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(65,1),(71,1),(99,1),(102,1),(103,1),(104,1)}
        84:{2,4,5}:{(63,1),(66,1),(104,1),(105,1)}
        85:{1,3,7}:{(64,1),(65,1),(106,1)}
        86:{2,3,6}:{(65,1),(66,1),(104,1),(106,1),(107,1)}
        87:{1,3,5}:{(66,1),(67,1),(105,1),(107,1),(108,1)}
        88:{1,2,4}:{(67,1),(108,1),(109,1)}
        89:{2,5,6,7}:{(68,1),(72,1),(100,1),(110,1)}
        90:{2,4,5,7}:{(68,1),(69,1),(70,1),(73,1),(101,1),(110,1),(111,1),(131,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{3,4,7}:{(70,1),(71,1),(111,1)}
        93:{4,6,7}:{(72,1),(73,1)}
        94:{3,4,6,7}:{(74,1),(75,1),(112,1),(117,1),(135,1),(136,1)}
        95:{3,5,6}:{(74,1),(76,1),(112,1),(113,1)}
        96:{2,5,7}:{(75,1),(76,1),(80,1),(112,1)}
        97:{2,4,5,6}:{(76,1),(78,1),(81,1),(113,1),(115,1),(116,1),(120,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(117,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{1,5,6,7}:{(80,1),(89,1),(114,1),(118,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(82,1),(90,1),(115,1),(118,1),(119,1),(138,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(91,1),(116,1),(119,1),(120,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(85,1),(92,1),(117,1),(119,1),(121,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(120,1),(121,1),(122,1)}
       105:{1,4,5}:{(84,1),(87,1),(122,1)}
       106:{2,3,7}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,3,6}:{(86,1),(87,1),(122,1),(123,1),(124,1)}
       108:{1,2,5}:{(87,1),(88,1),(124,1)}
       109:{1,2,3}:{(88,1)}
       110:{2,4,6,7}:{(89,1),(90,1),(93,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(90,1),(91,1),(92,1),(125,1)}
       112:{3,5,7}:{(94,1),(95,1),(96,1),(127,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{2,5,6,7}:{(96,1),(100,1),(126,1),(128,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(127,1),(128,1),(129,1),(131,1)}
       116:{3,5,6}:{(97,1),(99,1),(129,1)}
       117:{3,4,7}:{(98,1),(99,1),(129,1)}
       118:{1,4,6,7}:{(100,1),(101,1),(110,1),(128,1),(130,1),(139,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(103,1),(111,1),(129,1),(130,1),(131,1)}
       120:{2,5,6}:{(102,1),(104,1),(131,1),(132,1)}
       121:{2,4,7}:{(103,1),(104,1),(106,1),(131,1),(133,1)}
       122:{1,4,6}:{(104,1),(105,1),(107,1),(132,1),(133,1)}
       123:{1,3,7}:{(106,1),(107,1),(133,1),(134,1)}
       124:{1,2,6}:{(107,1),(108,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(112,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(115,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(119,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(119,1),(120,1),(121,1),(137,1),(138,1)}
       132:{1,5,6}:{(120,1),(122,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(123,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1602 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1603 :   0:{1,2,5,6,7}:{(2,1),(3,1),(42,1),(44,1),(84,1),(85,1),(89,1),(114,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(42,1),(47,1),(114,1),(115,1),(148,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(26,1),(28,1),(63,1),(67,1),(93,1),(107,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(103,1),(108,1),(131,1),(141,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(9,1),(10,1),(65,1),(131,1),(134,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(16,1),(34,1),(42,1),(72,1),(89,1),(90,1),(128,1)}
         6:{1,2,4,5,7}:{(3,1),(12,1),(13,1),(14,1),(39,1),(42,1),(82,1),(85,1),(88,1),(113,1),(120,1),(122,1),(127,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(11,1),(14,1),(87,1),(112,1),(127,1)}
         8:{1,3,6,7}:{(3,1),(13,1),(16,1),(121,1),(128,1),(148,1)}
         9:{2,4,5,7}:{(4,1),(14,1),(17,1),(18,1),(42,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(148,1),(149,1)}
        11:{2,4,6,7}:{(5,1),(7,1),(20,1),(21,1),(91,1),(108,1),(111,1)}
        12:{1,2,4,5,6}:{(6,1),(22,1),(25,1),(55,1),(62,1),(98,1),(103,1),(106,1),(108,1),(131,1),(135,1),(136,1),(141,1),(145,1),(147,1),(163,1),(174,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(109,1),(132,1),(140,1)}
        14:{1,4,5,7}:{(7,1),(9,1),(20,1),(25,1),(26,1),(63,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(21,1),(23,1),(26,1),(27,1),(58,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(100,1),(141,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(30,1),(62,1),(65,1),(131,1),(163,1)}
        18:{3,5,7}:{(9,1),(10,1),(30,1)}
        19:{2,3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(57,1),(65,1),(95,1),(100,1),(134,1),(162,1),(168,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(33,1),(34,1),(42,1)}
        21:{3,4,6,7}:{(11,1),(34,1),(70,1),(128,1),(129,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(36,1),(37,1),(116,1),(121,1),(128,1),(148,1),(152,1),(161,1),(170,1)}
        23:{1,3,4,7}:{(13,1),(36,1),(39,1),(127,1),(129,1),(149,1)}
        24:{2,3,5,7}:{(13,1),(16,1),(37,1),(39,1),(40,1),(42,1),(122,1),(123,1)}
        25:{1,4,5,6}:{(14,1),(17,1),(33,1),(41,1),(84,1),(87,1),(112,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(18,1),(34,1),(41,1),(42,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(39,1),(42,1),(43,1),(81,1)}
        28:{1,3,6,7}:{(16,1),(40,1),(43,1),(44,1),(121,1)}
        29:{3,4,5,7}:{(18,1),(45,1),(46,1),(149,1),(170,1)}
        30:{3,5,6}:{(17,1),(18,1),(45,1),(148,1),(170,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(42,1),(46,1),(47,1),(48,1),(170,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(43,1),(48,1),(49,1),(80,1),(86,1),(87,1),(121,1),(127,1),(128,1),(129,1),(159,1),(172,1)}
        33:{2,4,5,6}:{(20,1),(25,1),(51,1),(62,1),(91,1),(108,1),(147,1)}
        34:{3,5,7}:{(20,1),(21,1),(51,1)}
        35:{2,3,4,6,7}:{(21,1),(27,1),(52,1),(53,1),(57,1),(69,1),(91,1),(100,1),(111,1),(146,1),(168,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(54,1),(55,1),(145,1),(146,1),(162,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(55,1),(56,1),(62,1),(96,1),(100,1),(136,1),(137,1),(141,1)}
        38:{1,3,4,5,7}:{(23,1),(26,1),(29,1),(50,1),(54,1),(58,1),(59,1),(66,1),(92,1),(101,1),(109,1),(132,1),(144,1),(169,1)}
        39:{2,4,7}:{(23,1),(24,1),(55,1),(60,1)}
        40:{1,3,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(63,1),(105,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(30,1),(51,1),(58,1),(62,1),(169,1)}
        42:{2,5,7}:{(26,1),(27,1),(62,1),(63,1)}
        43:{1,4,6,7}:{(27,1),(28,1),(60,1),(63,1),(103,1)}
        44:{1,2,6,7}:{(28,1),(61,1),(141,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,4,5,7}:{(29,1),(31,1),(65,1),(66,1),(134,1),(163,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(62,1),(65,1),(67,1),(100,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(63,1),(66,1),(67,1),(68,1),(109,1),(169,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(102,1),(108,1),(111,1),(141,1),(168,1)}
        50:{3,4,5,7}:{(34,1),(70,1),(71,1),(129,1),(161,1)}
        51:{3,5,6}:{(33,1),(34,1),(70,1),(128,1),(161,1)}
        52:{2,3,5,7}:{(34,1),(35,1),(42,1),(71,1),(72,1),(73,1),(161,1),(173,1)}
        53:{1,3,4,6,7}:{(35,1),(43,1),(73,1),(74,1),(80,1),(86,1),(112,1),(121,1),(127,1),(148,1),(149,1),(159,1),(172,1)}
        54:{1,3,4,5}:{(36,1),(76,1),(116,1),(154,1),(160,1),(161,1),(170,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(76,1),(77,1)}
        56:{1,3,5,6}:{(37,1),(40,1),(77,1),(78,1),(84,1),(116,1),(119,1),(121,1)}
        57:{2,3,4,7}:{(39,1),(75,1),(79,1),(80,1),(123,1),(129,1),(149,1),(158,1)}
        58:{1,3,4,6}:{(38,1),(41,1),(45,1),(70,1),(81,1),(87,1),(112,1),(121,1),(128,1),(148,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(42,1),(76,1),(79,1),(81,1),(82,1),(122,1),(158,1),(173,1)}
        60:{1,4,7}:{(39,1),(40,1),(77,1)}
        61:{1,2,5,7}:{(40,1),(44,1),(78,1),(83,1),(122,1)}
        62:{2,5,6}:{(41,1),(42,1),(81,1),(84,1),(173,1)}
        63:{1,5,7}:{(42,1),(43,1),(84,1)}
        64:{1,2,4,6,7}:{(43,1),(44,1),(49,1),(74,1),(83,1),(85,1),(86,1),(120,1),(124,1),(127,1),(155,1),(172,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,4,5,7}:{(46,1),(48,1),(87,1),(88,1),(127,1),(160,1)}
        67:{1,3,5,6}:{(47,1),(48,1),(84,1),(87,1),(89,1),(121,1),(128,1)}
        68:{2,5,7}:{(48,1),(49,1),(89,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(86,1),(90,1),(123,1),(128,1),(157,1)}
        70:{3,4,6}:{(50,1),(51,1),(91,1)}
        71:{2,4,5,7}:{(50,1),(52,1),(91,1),(92,1),(111,1),(147,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(93,1),(100,1)}
        73:{1,3,5,7}:{(52,1),(53,1),(63,1),(92,1),(93,1),(94,1),(132,1),(169,1),(174,1)}
        74:{2,4,6,7}:{(53,1),(94,1),(95,1),(102,1),(131,1),(134,1),(141,1),(168,1)}
        75:{2,3,4,6}:{(55,1),(57,1),(96,1),(97,1),(100,1),(137,1),(146,1),(162,1),(165,1),(168,1)}
        76:{2,4,5}:{(54,1),(55,1),(96,1),(98,1),(136,1),(165,1)}
        77:{1,4,6}:{(55,1),(56,1),(60,1),(98,1)}
        78:{1,2,5,6}:{(56,1),(61,1),(99,1),(136,1),(141,1)}
        79:{2,3,5,7}:{(57,1),(59,1),(96,1),(100,1),(101,1),(109,1),(132,1)}
        80:{1,3,4,7}:{(57,1),(60,1),(97,1),(101,1),(102,1),(105,1),(140,1),(167,1)}
        81:{2,4,6}:{(58,1),(59,1),(62,1),(100,1),(103,1),(141,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(98,1),(101,1),(103,1),(167,1),(174,1)}
        83:{1,2,4,7}:{(60,1),(61,1),(99,1),(102,1),(105,1)}
        84:{1,5,6}:{(62,1),(63,1),(103,1),(174,1)}
        85:{1,2,5,7}:{(63,1),(64,1),(68,1),(94,1),(106,1),(107,1),(174,1)}
        86:{1,3,6,7}:{(64,1),(69,1),(95,1),(105,1),(107,1),(140,1),(143,1),(166,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,4,5,7}:{(66,1),(68,1),(108,1),(109,1),(111,1),(147,1)}
        89:{2,5,6}:{(67,1),(68,1),(108,1),(141,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1),(111,1)}
        91:{2,4,6}:{(70,1),(71,1),(72,1),(112,1)}
        92:{1,4,5,7}:{(71,1),(73,1),(112,1),(113,1),(127,1),(160,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(84,1),(112,1),(114,1),(121,1),(148,1)}
        94:{2,5,7}:{(73,1),(74,1),(114,1),(173,1)}
        95:{2,3,6,7}:{(74,1),(86,1),(115,1),(123,1),(148,1),(157,1)}
        96:{2,3,5}:{(75,1),(76,1),(116,1),(161,1),(170,1),(173,1)}
        97:{1,3,4,6}:{(75,1),(77,1),(80,1),(116,1),(117,1),(119,1),(121,1),(152,1),(154,1),(171,1),(172,1)}
        98:{1,4,5}:{(76,1),(77,1),(116,1),(171,1)}
        99:{1,2,4,6}:{(77,1),(78,1),(83,1),(117,1),(118,1),(119,1)}
       100:{2,3,6}:{(79,1),(81,1),(121,1),(128,1),(148,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(82,1),(116,1),(121,1),(122,1)}
       102:{2,4,7}:{(80,1),(117,1),(122,1),(123,1)}
       103:{1,4,6}:{(81,1),(82,1),(84,1),(121,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(88,1),(113,1),(118,1),(122,1),(124,1),(125,1),(127,1),(158,1),(160,1),(173,1)}
       105:{1,3,7}:{(83,1),(119,1),(123,1)}
       106:{1,2,5,6}:{(84,1),(85,1),(89,1),(114,1),(124,1),(126,1),(155,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(90,1),(115,1),(126,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{3,5,7}:{(88,1),(128,1),(129,1),(161,1)}
       110:{2,3,5,6}:{(89,1),(90,1),(126,1),(128,1),(130,1),(157,1),(161,1),(173,1)}
       111:{2,4,7}:{(90,1),(127,1),(129,1),(130,1)}
       112:{1,4,6}:{(91,1),(92,1),(93,1),(131,1)}
       113:{2,4,5,7}:{(92,1),(94,1),(131,1),(132,1),(134,1),(163,1)}
       114:{2,5,6}:{(93,1),(94,1),(131,1),(141,1)}
       115:{2,3,5,7}:{(94,1),(95,1),(107,1),(132,1),(133,1),(134,1)}
       116:{1,3,5}:{(96,1),(97,1),(98,1),(136,1),(174,1)}
       117:{2,4,6}:{(97,1),(102,1),(136,1),(137,1),(141,1),(165,1)}
       118:{1,2,4,5}:{(98,1),(99,1),(136,1),(138,1),(165,1)}
       119:{1,3,6}:{(99,1),(105,1),(137,1),(138,1)}
       120:{1,2,4,7}:{(102,1),(135,1),(139,1),(140,1),(167,1)}
       121:{1,3,6}:{(100,1),(101,1),(103,1),(141,1)}
       122:{2,5,7}:{(101,1),(102,1),(136,1),(141,1)}
       123:{2,3,7}:{(102,1),(105,1),(137,1),(140,1)}
       124:{1,2,4,6}:{(103,1),(104,1),(106,1),(108,1),(131,1),(141,1),(143,1),(145,1),(168,1)}
       125:{1,3,5,7}:{(104,1),(105,1),(109,1),(132,1),(138,1),(142,1),(143,1),(144,1),(169,1)}
       126:{1,3,5,6}:{(106,1),(107,1),(110,1),(133,1),(143,1),(145,1),(166,1),(169,1),(174,1)}
       127:{1,4,7}:{(107,1),(111,1),(134,1),(145,1)}
       128:{3,6}:{(108,1),(109,1)}
       129:{3,4,7}:{(109,1),(111,1),(146,1)}
       130:{2,4,6}:{(110,1),(111,1),(145,1),(146,1),(147,1)}
       131:{2,4,6}:{(112,1),(113,1),(114,1),(148,1)}
       132:{3,5,7}:{(113,1),(148,1),(149,1),(170,1)}
       133:{2,3,5,6}:{(114,1),(115,1),(126,1),(148,1),(150,1),(157,1),(170,1),(173,1)}
       134:{2,4,7}:{(115,1),(127,1),(149,1),(150,1)}
       135:{1,2,4,6}:{(117,1),(120,1),(151,1),(152,1),(155,1),(171,1),(172,1)}
       136:{2,5}:{(116,1),(117,1)}
       137:{2,3,6}:{(117,1),(119,1),(123,1),(152,1),(153,1)}
       138:{1,3,5}:{(118,1),(119,1),(153,1),(154,1)}
       139:{1,2,5,7}:{(120,1),(122,1),(151,1),(155,1),(156,1)}
       140:{1,3,7}:{(120,1),(123,1),(152,1)}
       141:{2,6}:{(121,1),(122,1)}
       142:{2,3,5,7}:{(122,1),(123,1),(125,1),(153,1),(156,1),(157,1),(158,1),(173,1)}
       143:{1,3,6}:{(124,1),(125,1),(128,1),(148,1),(157,1)}
       144:{1,3,4,7}:{(125,1),(127,1),(129,1),(149,1),(154,1),(158,1),(159,1)}
       145:{1,4,6}:{(126,1),(127,1),(130,1),(150,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(130,1),(160,1),(161,1),(173,1)}
       148:{3,6}:{(131,1),(132,1)}
       149:{3,4,7}:{(132,1),(134,1),(162,1)}
       150:{2,4,6}:{(133,1),(134,1),(145,1),(162,1),(163,1)}
       151:{1,2,5}:{(135,1),(136,1),(164,1),(174,1)}
       152:{1,3,6}:{(135,1),(137,1),(140,1),(164,1)}
       153:{2,3,5}:{(136,1),(137,1),(138,1),(164,1),(165,1)}
       154:{1,3,4}:{(138,1),(165,1)}
       155:{1,2,6}:{(139,1),(141,1),(166,1)}
       156:{1,3,5,7}:{(139,1),(140,1),(142,1),(164,1),(166,1),(167,1),(174,1)}
       157:{2,3,6}:{(141,1),(142,1),(143,1),(166,1),(168,1)}
       158:{2,4,7}:{(142,1),(144,1),(165,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(143,1),(144,1),(145,1),(146,1),(162,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(147,1),(163,1),(169,1),(174,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{3,4,6}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4,5}:{(150,1),(160,1),(170,1),(173,1)}
       164:{1,3,5}:{(151,1),(152,1),(153,1),(171,1)}
       165:{2,4}:{(153,1),(154,1),(171,1)}
       166:{1,3,6}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,4,7}:{(156,1),(158,1),(171,1),(172,1)}
       168:{2,4,6}:{(157,1),(158,1),(159,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(161,1),(170,1),(173,1)}
       170:{3,5}:{(162,1),(163,1)}
       171:{1,4}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(168,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1604 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(36,1),(46,1),(89,1),(99,1),(104,1),(106,1),(144,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(66,1),(75,1),(77,1),(121,1),(128,1),(134,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(69,1),(126,1),(172,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(14,1),(35,1),(52,1),(83,1),(103,1),(140,1),(145,1),(147,1),(150,1),(241,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(48,1),(101,1),(104,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(50,1),(52,1),(150,1),(163,1),(164,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(53,1),(149,1),(156,1),(201,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(89,1),(143,1)}
         8:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(22,1),(59,1),(66,1),(115,1),(117,1),(121,1),(168,1),(174,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(18,1),(20,1),(21,1),(109,1),(132,1),(166,1),(177,1)}
        10:{1,2,4,6,7}:{(5,1),(19,1),(22,1),(23,1),(65,1),(66,1),(128,1),(168,1),(178,1),(179,1),(180,1),(183,1),(212,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(69,1),(126,1),(127,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(27,1),(28,1),(75,1),(131,1),(134,1)}
        13:{2,4,6}:{(4,1),(7,1),(28,1),(29,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(30,1),(75,1),(122,1),(189,1),(212,1)}
        15:{2,5,7}:{(5,1),(6,1),(27,1),(177,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(28,1),(31,1),(66,1),(120,1)}
        17:{3,4,5,7}:{(7,1),(29,1),(69,1),(117,1),(172,1)}
        18:{2,3,5,6}:{(9,1),(34,1),(35,1),(85,1),(142,1),(145,1)}
        19:{2,4,6,7}:{(8,1),(36,1),(37,1),(87,1),(89,1),(150,1),(199,1),(200,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(34,1),(37,1),(38,1),(90,1),(149,1),(192,1),(201,1)}
        21:{2,4,5,7}:{(9,1),(35,1),(38,1),(39,1),(52,1),(102,1)}
        22:{1,3,6,7}:{(10,1),(14,1),(36,1),(41,1),(93,1),(151,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(15,1),(37,1),(40,1),(41,1),(156,1),(192,1),(201,1),(205,1),(226,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(44,1),(45,1),(97,1),(98,1),(156,1),(157,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(43,1),(45,1),(46,1)}
        26:{2,4,5,6}:{(13,1),(43,1),(47,1),(48,1),(101,1),(143,1),(207,1)}
        27:{2,5,6}:{(12,1),(15,1),(50,1),(163,1)}
        28:{1,4,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{3,4,6}:{(13,1),(17,1),(48,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(41,1),(49,1),(52,1),(53,1),(226,1),(241,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(50,1),(52,1),(53,1),(102,1)}
        32:{1,3,4,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1),(94,1),(97,1),(107,1),(149,1),(154,1),(158,1),(204,1),(206,1),(232,1),(233,1)}
        33:{2,3,5,6,7}:{(18,1),(55,1),(56,1),(109,1),(166,1),(167,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(58,1),(59,1),(115,1),(171,1),(174,1)}
        35:{2,4,6}:{(18,1),(21,1),(59,1),(60,1)}
        36:{2,3,6,7}:{(19,1),(22,1),(61,1),(115,1),(122,1),(183,1),(218,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(177,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(59,1),(62,1),(66,1),(120,1)}
        39:{3,4,5,7}:{(21,1),(60,1),(77,1),(109,1),(132,1)}
        40:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(65,1),(131,1),(171,1),(177,1),(179,1),(186,1),(215,1),(219,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(30,1),(61,1),(64,1),(66,1)}
        42:{1,2,4,5,7}:{(23,1),(31,1),(62,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(123,1),(136,1),(176,1),(177,1),(180,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(68,1),(69,1),(126,1),(221,1)}
        44:{2,5,6,7}:{(24,1),(27,1),(70,1),(126,1),(183,1)}
        45:{1,4,6,7}:{(24,1),(25,1),(28,1),(68,1),(70,1)}
        46:{3,4,6,7}:{(25,1),(29,1),(69,1)}
        47:{1,4,5,6}:{(26,1),(28,1),(68,1),(72,1),(73,1),(120,1),(131,1),(185,1)}
        48:{3,5,6}:{(26,1),(29,1),(69,1),(172,1),(223,1)}
        49:{2,3,5,6}:{(27,1),(30,1),(64,1),(74,1),(75,1),(122,1),(132,1),(177,1),(215,1),(237,1),(238,1)}
        50:{2,4,6}:{(27,1),(28,1),(31,1),(75,1)}
        51:{1,3,4,6}:{(28,1),(29,1),(32,1),(73,1),(75,1),(76,1),(129,1),(134,1),(185,1),(223,1)}
        52:{2,4,7}:{(30,1),(66,1),(74,1),(77,1)}
        53:{3,5,7}:{(31,1),(75,1),(77,1),(132,1)}
        54:{2,4,5,7}:{(32,1),(76,1),(78,1),(79,1),(123,1),(126,1),(136,1),(177,1),(181,1),(184,1),(221,1),(222,1)}
        55:{1,3,5,6,7}:{(33,1),(34,1),(81,1),(82,1),(138,1),(139,1),(192,1),(193,1)}
        56:{2,4,6,7}:{(33,1),(35,1),(80,1),(82,1),(83,1)}
        57:{2,4,5,6}:{(35,1),(80,1),(84,1),(85,1),(102,1),(142,1),(228,1)}
        58:{2,5,6}:{(34,1),(37,1),(87,1),(199,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        60:{3,4,6}:{(35,1),(39,1),(85,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(41,1),(86,1),(89,1),(90,1),(205,1),(232,1)}
        62:{2,4,5,7}:{(37,1),(38,1),(87,1),(89,1),(90,1),(143,1)}
        63:{1,3,4,5,7}:{(38,1),(39,1),(88,1),(90,1),(91,1),(94,1),(138,1),(148,1),(149,1),(190,1),(194,1),(225,1),(227,1),(241,1),(242,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(49,1),(86,1),(92,1),(93,1),(149,1),(151,1),(201,1),(231,1)}
        65:{1,2,4,6}:{(40,1),(42,1),(50,1),(87,1),(92,1),(93,1),(105,1),(146,1),(150,1),(163,1),(199,1),(207,1),(228,1)}
        66:{1,4,7}:{(41,1),(52,1),(89,1),(92,1)}
        67:{1,3,5,7}:{(42,1),(53,1),(90,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{1,4,5,7}:{(43,1),(45,1),(47,1),(96,1),(97,1),(156,1),(204,1)}
        69:{3,5,7}:{(43,1),(46,1),(48,1),(232,1)}
        70:{2,4,6,7}:{(44,1),(45,1),(50,1),(96,1),(98,1)}
        71:{1,3,4,6,7}:{(45,1),(46,1),(51,1),(97,1),(98,1),(99,1),(154,1),(157,1),(204,1),(232,1)}
        72:{2,4,5,6}:{(47,1),(50,1),(96,1),(100,1),(101,1),(102,1),(159,1)}
        73:{1,3,5,6}:{(47,1),(48,1),(51,1),(97,1),(100,1),(101,1),(149,1)}
        74:{2,4,6}:{(49,1),(52,1),(92,1),(102,1),(103,1),(243,1)}
        75:{3,6}:{(50,1),(53,1)}
        76:{2,4,6}:{(51,1),(54,1),(101,1),(104,1),(105,1),(163,1)}
        77:{3,4,7}:{(52,1),(53,1),(103,1),(241,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(161,1),(232,1),(233,1)}
        79:{1,4,5,7}:{(54,1),(105,1),(107,1),(152,1),(156,1),(201,1),(204,1),(206,1)}
        80:{2,4,5,7}:{(56,1),(57,1),(108,1),(109,1),(166,1),(235,1)}
        81:{2,5,6,7}:{(55,1),(58,1),(110,1),(166,1),(212,1)}
        82:{1,4,6,7}:{(55,1),(56,1),(59,1),(108,1),(110,1)}
        83:{3,4,6,7}:{(56,1),(60,1),(109,1)}
        84:{1,4,5,6}:{(57,1),(59,1),(108,1),(112,1),(113,1),(120,1),(171,1),(214,1)}
        85:{3,5,6}:{(57,1),(60,1),(109,1),(132,1),(237,1)}
        86:{2,3,5,6}:{(58,1),(61,1),(64,1),(114,1),(115,1),(122,1),(172,1),(177,1),(186,1),(223,1),(224,1)}
        87:{2,4,6}:{(58,1),(59,1),(62,1),(115,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(63,1),(113,1),(115,1),(116,1),(169,1),(174,1),(214,1),(237,1)}
        89:{2,4,7}:{(61,1),(66,1),(114,1),(117,1)}
        90:{3,5,7}:{(62,1),(115,1),(117,1),(172,1)}
        91:{2,4,5,7}:{(63,1),(116,1),(118,1),(119,1),(123,1),(166,1),(176,1),(177,1),(210,1),(213,1),(235,1),(236,1)}
        92:{1,4,6}:{(64,1),(66,1),(74,1),(114,1),(120,1),(239,1)}
        93:{1,3,6}:{(65,1),(67,1),(75,1),(115,1),(122,1),(223,1),(237,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(77,1),(117,1),(121,1),(123,1),(239,1),(240,1),(244,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(136,1),(176,1),(177,1),(189,1),(218,1),(224,1),(238,1)}
        96:{2,4,5,7}:{(68,1),(70,1),(72,1),(125,1),(126,1),(181,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(125,1),(126,1)}
        98:{3,6,7}:{(70,1),(75,1),(125,1)}
        99:{2,4,6,7}:{(71,1),(76,1),(126,1),(127,1),(128,1),(181,1),(183,1),(221,1)}
       100:{3,5,6}:{(72,1),(75,1),(125,1),(129,1),(132,1)}
       101:{2,5,6}:{(73,1),(76,1),(126,1),(131,1),(177,1)}
       102:{2,4,5}:{(74,1),(120,1),(132,1),(177,1)}
       103:{3,4,6}:{(74,1),(75,1),(77,1),(132,1),(237,1),(244,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(223,1)}
       105:{1,4,6}:{(76,1),(79,1),(131,1),(134,1)}
       106:{2,3,4,7}:{(77,1),(78,1),(123,1),(133,1),(135,1),(181,1),(218,1),(240,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(134,1),(135,1),(136,1),(187,1)}
       108:{1,4,5,7}:{(80,1),(82,1),(84,1),(137,1),(138,1),(192,1),(225,1)}
       109:{3,5,7}:{(80,1),(83,1),(85,1),(241,1)}
       110:{2,4,6,7}:{(81,1),(82,1),(87,1),(137,1),(139,1)}
       111:{1,3,4,6,7}:{(82,1),(83,1),(88,1),(138,1),(139,1),(140,1),(190,1),(193,1),(225,1),(241,1)}
       112:{2,4,5,6}:{(84,1),(87,1),(137,1),(141,1),(142,1),(143,1),(195,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(88,1),(138,1),(141,1),(142,1),(149,1)}
       114:{2,4,6}:{(86,1),(89,1),(92,1),(143,1),(144,1),(234,1)}
       115:{3,6}:{(87,1),(90,1)}
       116:{2,4,6}:{(88,1),(91,1),(142,1),(145,1),(146,1),(199,1)}
       117:{3,4,7}:{(89,1),(90,1),(144,1),(232,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(145,1),(147,1),(148,1),(197,1),(241,1),(242,1)}
       119:{1,4,5,7}:{(91,1),(146,1),(148,1),(152,1),(192,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(102,1),(143,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(103,1),(144,1),(149,1),(150,1)}
       122:{2,3,6}:{(93,1),(95,1),(150,1),(151,1),(163,1),(199,1)}
       123:{2,4,7}:{(94,1),(95,1),(150,1),(152,1),(234,1),(243,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(98,1),(100,1),(154,1)}
       126:{2,5,7}:{(97,1),(99,1),(101,1),(156,1)}
       127:{2,3,6,7}:{(98,1),(99,1),(104,1),(155,1),(157,1),(232,1)}
       128:{1,4,6,7}:{(99,1),(105,1),(156,1),(157,1),(204,1)}
       129:{3,4,6}:{(100,1),(154,1),(158,1),(159,1)}
       130:{2,3,5,6}:{(100,1),(101,1),(104,1),(155,1),(159,1),(160,1),(161,1)}
       131:{1,5,6}:{(101,1),(105,1),(156,1),(201,1)}
       132:{3,5}:{(102,1),(103,1)}
       133:{2,3,4,6}:{(103,1),(104,1),(106,1),(150,1),(159,1),(161,1),(162,1),(230,1),(243,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(163,1)}
       135:{1,3,4,7}:{(106,1),(107,1),(152,1),(162,1),(164,1),(203,1),(204,1),(232,1)}
       136:{2,5,7}:{(107,1),(163,1),(164,1),(208,1)}
       137:{2,4,5,7}:{(108,1),(110,1),(112,1),(165,1),(166,1),(210,1)}
       138:{1,3,5,7}:{(108,1),(109,1),(111,1),(113,1),(165,1),(166,1)}
       139:{3,6,7}:{(110,1),(115,1),(165,1)}
       140:{2,4,6,7}:{(111,1),(116,1),(166,1),(167,1),(168,1),(210,1),(212,1),(235,1)}
       141:{3,5,6}:{(112,1),(115,1),(165,1),(169,1),(172,1)}
       142:{2,5,6}:{(113,1),(116,1),(166,1),(171,1),(177,1)}
       143:{2,4,5}:{(114,1),(120,1),(172,1),(177,1)}
       144:{3,4,6}:{(114,1),(115,1),(117,1),(172,1),(223,1),(240,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(237,1)}
       146:{1,4,6}:{(116,1),(119,1),(171,1),(174,1)}
       147:{2,3,4,7}:{(117,1),(118,1),(123,1),(173,1),(175,1),(189,1),(210,1),(244,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(174,1),(175,1),(176,1),(216,1)}
       149:{1,3,5}:{(120,1),(121,1),(132,1),(172,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,3,6}:{(122,1),(124,1),(178,1),(179,1)}
       152:{1,4,7}:{(123,1),(124,1),(178,1),(239,1)}
       153:{1,2,5,7}:{(124,1),(136,1),(176,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(129,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(127,1),(130,1),(181,1),(182,1)}
       156:{1,5,7}:{(126,1),(128,1),(131,1)}
       157:{1,3,6,7}:{(127,1),(128,1),(134,1),(182,1),(183,1)}
       158:{3,4,5}:{(129,1),(132,1),(184,1),(244,1)}
       159:{2,4,6}:{(129,1),(130,1),(181,1),(184,1),(185,1)}
       160:{1,3,5,6}:{(130,1),(131,1),(134,1),(182,1),(185,1),(186,1),(187,1),(223,1)}
       161:{2,3,5}:{(132,1),(133,1),(177,1),(184,1),(187,1)}
       162:{1,3,4,6}:{(133,1),(134,1),(135,1),(178,1),(185,1),(187,1),(188,1),(220,1),(223,1),(239,1),(240,1)}
       163:{2,6}:{(134,1),(136,1)}
       164:{2,4,7}:{(135,1),(136,1),(188,1),(189,1)}
       165:{3,5,7}:{(137,1),(139,1),(141,1),(190,1)}
       166:{2,5,7}:{(138,1),(140,1),(142,1),(192,1)}
       167:{2,3,6,7}:{(139,1),(140,1),(145,1),(191,1),(193,1),(241,1)}
       168:{1,4,6,7}:{(140,1),(146,1),(192,1),(193,1),(225,1)}
       169:{3,4,6}:{(141,1),(190,1),(194,1),(195,1)}
       170:{2,3,5,6}:{(141,1),(142,1),(145,1),(191,1),(195,1),(196,1),(197,1)}
       171:{1,5,6}:{(142,1),(146,1),(192,1),(201,1)}
       172:{3,5}:{(143,1),(144,1)}
       173:{2,3,4,6}:{(144,1),(145,1),(147,1),(150,1),(195,1),(197,1),(198,1),(209,1),(234,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(199,1)}
       175:{1,3,4,7}:{(147,1),(148,1),(152,1),(198,1),(200,1),(203,1),(225,1),(241,1)}
       176:{2,5,7}:{(148,1),(199,1),(200,1),(229,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(151,1),(153,1),(163,1),(199,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(164,1),(200,1),(202,1),(203,1)}
       181:{2,4,7}:{(154,1),(155,1),(159,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(204,1),(205,1),(232,1)}
       183:{2,6,7}:{(157,1),(163,1),(205,1)}
       184:{2,4,5}:{(158,1),(159,1),(161,1),(206,1),(243,1)}
       185:{1,4,6}:{(159,1),(160,1),(204,1),(206,1),(207,1)}
       186:{2,5,6}:{(160,1),(163,1),(205,1),(207,1),(208,1)}
       187:{1,3,5}:{(161,1),(162,1),(201,1),(206,1),(208,1),(233,1)}
       188:{2,4,6}:{(162,1),(163,1),(164,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(203,1),(209,1),(232,1)}
       190:{3,4,7}:{(165,1),(169,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(167,1),(170,1),(210,1),(211,1)}
       192:{1,5,7}:{(166,1),(168,1),(171,1)}
       193:{1,3,6,7}:{(167,1),(168,1),(174,1),(211,1),(212,1)}
       194:{3,4,5}:{(169,1),(172,1),(213,1),(240,1)}
       195:{2,4,6}:{(169,1),(170,1),(210,1),(213,1),(214,1)}
       196:{1,3,5,6}:{(170,1),(171,1),(174,1),(211,1),(214,1),(215,1),(216,1),(237,1)}
       197:{2,3,5}:{(172,1),(173,1),(177,1),(213,1),(216,1)}
       198:{1,3,4,6}:{(173,1),(174,1),(175,1),(178,1),(214,1),(216,1),(217,1),(220,1),(237,1),(239,1),(244,1)}
       199:{2,6}:{(174,1),(176,1)}
       200:{2,4,7}:{(175,1),(176,1),(217,1),(218,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(188,1),(217,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(180,1),(189,1),(218,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(185,1),(221,1)}
       205:{2,5,7}:{(182,1),(183,1),(186,1),(221,1)}
       206:{1,4,5}:{(184,1),(185,1),(187,1),(222,1),(239,1)}
       207:{2,4,6}:{(185,1),(186,1),(221,1),(222,1),(223,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(220,1),(223,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(195,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(193,1),(196,1),(225,1),(226,1),(241,1)}
       212:{2,6,7}:{(193,1),(199,1),(226,1)}
       213:{2,4,5}:{(194,1),(195,1),(197,1),(227,1),(234,1)}
       214:{1,4,6}:{(195,1),(196,1),(225,1),(227,1),(228,1)}
       215:{2,5,6}:{(196,1),(199,1),(226,1),(228,1),(229,1)}
       216:{1,3,5}:{(197,1),(198,1),(201,1),(227,1),(229,1),(242,1)}
       217:{2,4,6}:{(198,1),(199,1),(200,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(203,1),(230,1),(241,1)}
       219:{1,2,5}:{(201,1),(202,1),(208,1),(229,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(209,1),(230,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(207,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(208,1),(233,1),(234,1)}
       223:{3,6}:{(207,1),(232,1),(233,1)}
       224:{2,3,5}:{(208,1),(209,1),(231,1),(233,1),(234,1)}
       225:{1,4,7}:{(210,1),(211,1),(214,1),(235,1)}
       226:{2,5,7}:{(211,1),(212,1),(215,1),(235,1)}
       227:{1,4,5}:{(213,1),(214,1),(216,1),(236,1),(239,1)}
       228:{2,4,6}:{(214,1),(215,1),(235,1),(236,1),(237,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(224,1),(238,1),(239,1)}
       232:{3,7}:{(221,1),(223,1)}
       233:{3,5}:{(222,1),(223,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(228,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       237:{3,6}:{(228,1),(241,1),(242,1)}
       238:{2,3,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1605 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(6,1),(7,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(76,1),(122,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(57,1),(93,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1)}
         5:{4,5,6,7}:{(13,1),(123,1)}
         6:{3,4,6,7}:{(1,1),(13,1),(14,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(92,1),(116,1)}
         8:{1,4,5,6}:{(2,1),(12,1),(15,1),(16,1),(62,1),(118,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(69,1),(76,1)}
        10:{1,3,4,5}:{(3,1),(18,1),(19,1),(42,1),(52,1),(79,1)}
        11:{2,3,5,7}:{(4,1),(7,1),(17,1),(20,1),(21,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(18,1),(21,1),(22,1),(26,1)}
        13:{3,5,6,7}:{(5,1),(6,1),(23,1),(120,1)}
        14:{2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1),(78,1),(108,1)}
        16:{2,4,5,6}:{(8,1),(22,1),(25,1),(26,1),(48,1),(110,1),(111,1)}
        17:{2,3,4,7}:{(9,1),(11,1),(27,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(12,1),(27,1),(28,1),(38,1),(54,1),(62,1)}
        19:{2,4,5}:{(10,1),(28,1),(30,1)}
        20:{2,3,6,7}:{(11,1),(14,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(15,1),(27,1),(32,1),(33,1),(37,1)}
        22:{2,5,6}:{(12,1),(28,1),(33,1)}
        23:{2,5,6,7}:{(13,1),(14,1),(35,1),(116,1)}
        24:{1,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(36,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(33,1),(36,1),(37,1),(64,1),(96,1),(98,1)}
        26:{3,5,6}:{(16,1),(37,1),(38,1)}
        27:{1,3,4,7}:{(17,1),(18,1),(21,1),(40,1),(51,1),(70,1),(78,1)}
        28:{2,4,6}:{(18,1),(19,1),(22,1),(40,1),(41,1)}
        29:{1,2,4,5}:{(19,1),(39,1),(42,1),(74,1),(79,1),(101,1)}
        30:{2,3,5}:{(19,1),(41,1),(42,1),(43,1)}
        31:{1,2,5,6}:{(22,1),(39,1),(44,1),(45,1),(101,1),(119,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(24,1),(46,1),(50,1)}
        33:{2,5,7}:{(21,1),(22,1),(40,1),(46,1)}
        34:{2,3,5,6}:{(22,1),(26,1),(41,1),(45,1),(47,1),(48,1),(73,1),(103,1),(110,1)}
        35:{1,5,6,7}:{(23,1),(24,1),(49,1),(108,1)}
        36:{2,4,6,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(82,1)}
        37:{3,5,7}:{(25,1),(26,1),(50,1),(51,1)}
        38:{3,4,6}:{(26,1),(48,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(28,1),(29,1),(31,1),(53,1),(54,1),(62,1),(86,1)}
        40:{2,4,7}:{(27,1),(28,1),(33,1),(55,1)}
        41:{2,3,6}:{(28,1),(30,1),(54,1),(55,1)}
        42:{1,3,5}:{(29,1),(30,1),(54,1),(57,1),(58,1)}
        43:{2,3,4}:{(30,1),(58,1)}
        44:{1,2,5,7}:{(31,1),(33,1),(53,1),(60,1),(61,1),(112,1)}
        45:{1,3,5,6}:{(31,1),(34,1),(54,1),(59,1),(61,1),(62,1),(88,1),(113,1),(118,1)}
        46:{2,6,7}:{(32,1),(33,1)}
        47:{2,3,5,7}:{(33,1),(34,1),(37,1),(55,1),(61,1),(63,1),(64,1),(96,1)}
        48:{2,4,6}:{(34,1),(38,1),(62,1),(64,1),(65,1)}
        49:{2,5,6,7}:{(35,1),(36,1),(66,1),(96,1)}
        50:{3,6,7}:{(36,1),(37,1)}
        51:{3,4,7}:{(37,1),(38,1),(64,1)}
        52:{3,4,5}:{(38,1),(65,1)}
        53:{1,2,4,7}:{(39,1),(40,1),(44,1),(70,1),(78,1),(100,1)}
        54:{1,3,6}:{(39,1),(41,1),(42,1),(69,1),(70,1)}
        55:{2,3,7}:{(40,1),(41,1),(70,1)}
        56:{2,3,4,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(103,1)}
        57:{2,3,5}:{(42,1),(69,1),(74,1),(101,1)}
        58:{1,3,4}:{(42,1),(43,1),(74,1)}
        59:{2,3,5,6}:{(45,1),(69,1),(75,1),(76,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        60:{1,2,6,7}:{(44,1),(46,1),(77,1),(119,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(75,1),(77,1),(78,1),(108,1)}
        62:{1,4,6}:{(45,1),(48,1),(76,1),(78,1),(79,1)}
        63:{2,3,6,7}:{(46,1),(47,1),(50,1),(77,1),(80,1),(103,1)}
        64:{2,4,7}:{(47,1),(48,1),(51,1),(78,1)}
        65:{2,4,5}:{(48,1),(52,1),(73,1),(79,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(50,1),(51,1),(80,1),(82,1),(83,1),(84,1)}
        68:{3,4,5,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        69:{2,3,6}:{(54,1),(57,1),(85,1),(86,1)}
        70:{1,3,7}:{(53,1),(54,1),(55,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(58,1),(62,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        72:{2,3,4,7}:{(55,1),(56,1),(64,1),(87,1),(89,1)}
        73:{2,3,5}:{(56,1),(65,1),(88,1)}
        74:{2,4}:{(57,1),(58,1)}
        75:{2,3,5,7}:{(59,1),(61,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        76:{2,4,6}:{(59,1),(62,1),(90,1),(92,1),(93,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(63,1),(91,1),(94,1),(113,1)}
        78:{1,4,7}:{(61,1),(62,1),(64,1),(92,1)}
        79:{1,4,5}:{(62,1),(65,1),(88,1),(93,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(67,1),(94,1),(96,1),(97,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(95,1),(96,1),(97,1)}
        82:{4,6,7}:{(66,1),(98,1)}
        83:{3,5,7}:{(67,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(68,1),(97,1),(99,1)}
        85:{2,3,7}:{(69,1),(70,1),(100,1)}
        86:{2,4,6}:{(69,1),(71,1),(74,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(70,1),(71,1),(72,1),(78,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(71,1),(73,1),(79,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(72,1),(73,1),(81,1),(102,1),(103,1)}
        90:{3,4,6}:{(76,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(75,1),(77,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        93:{2,4,5}:{(76,1),(79,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(80,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(78,1),(79,1),(81,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(80,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(84,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(82,1),(83,1),(111,1)}
        99:{3,5,6}:{(83,1),(84,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1606 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1607 :   0:{1,2,5,6,7}:{(2,1),(3,1),(40,1),(44,1),(80,1),(83,1),(88,1),(117,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(40,1),(46,1),(117,1),(119,1),(152,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(24,1),(28,1),(60,1),(66,1),(96,1),(105,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(101,1),(108,1),(135,1),(139,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(65,1),(135,1),(138,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(16,1),(36,1),(40,1),(75,1),(88,1),(90,1),(128,1)}
         6:{1,4,6,7}:{(2,1),(4,1),(12,1),(13,1),(87,1),(116,1),(125,1)}
         7:{1,2,4,5,7}:{(3,1),(11,1),(13,1),(15,1),(40,1),(42,1),(82,1),(83,1),(89,1),(118,1),(123,1),(125,1),(126,1)}
         8:{1,3,6,7}:{(3,1),(15,1),(16,1),(120,1),(128,1),(152,1)}
         9:{2,4,5,7}:{(4,1),(13,1),(17,1),(18,1),(40,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(152,1),(154,1)}
        11:{1,2,4,5,6}:{(7,1),(20,1),(23,1),(51,1),(58,1),(92,1),(101,1),(102,1),(108,1),(131,1),(133,1),(135,1),(139,1),(141,1),(147,1),(165,1),(174,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(21,1),(22,1),(95,1),(108,1),(111,1)}
        13:{1,4,5,7}:{(6,1),(9,1),(21,1),(23,1),(24,1),(60,1)}
        14:{1,3,4,6,7}:{(6,1),(8,1),(10,1),(22,1),(24,1),(25,1),(26,1),(57,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(20,1),(26,1),(27,1),(110,1),(137,1),(145,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(27,1),(28,1),(100,1),(139,1)}
        17:{2,4,5,6}:{(9,1),(23,1),(29,1),(58,1),(65,1),(135,1),(165,1)}
        18:{3,5,7}:{(9,1),(10,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(25,1),(31,1),(32,1),(62,1),(65,1),(99,1),(100,1),(138,1),(164,1),(167,1)}
        20:{1,3,5,6}:{(11,1),(15,1),(33,1),(34,1),(112,1),(120,1),(128,1),(151,1),(152,1),(161,1),(171,1)}
        21:{2,4,5,7}:{(12,1),(13,1),(35,1),(36,1),(40,1)}
        22:{3,4,6,7}:{(12,1),(36,1),(74,1),(128,1),(130,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(35,1),(38,1),(80,1),(87,1),(116,1),(158,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(36,1),(38,1),(40,1)}
        25:{2,4,6,7}:{(14,1),(16,1),(40,1),(41,1),(42,1),(79,1)}
        26:{1,3,4,7}:{(15,1),(33,1),(42,1),(125,1),(130,1),(154,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(34,1),(40,1),(42,1),(43,1),(123,1),(127,1)}
        28:{1,3,6,7}:{(16,1),(41,1),(43,1),(44,1),(120,1)}
        29:{3,5,6}:{(17,1),(18,1),(45,1),(152,1),(171,1)}
        30:{3,4,5,7}:{(18,1),(45,1),(47,1),(154,1),(171,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(40,1),(46,1),(47,1),(48,1),(171,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(41,1),(48,1),(49,1),(84,1),(85,1),(87,1),(120,1),(125,1),(128,1),(130,1),(157,1),(172,1)}
        33:{1,3,4,6}:{(20,1),(26,1),(50,1),(51,1),(141,1),(146,1),(164,1)}
        34:{2,3,5,6}:{(20,1),(27,1),(51,1),(52,1),(58,1),(91,1),(100,1),(131,1),(134,1),(139,1)}
        35:{2,4,5,6}:{(21,1),(23,1),(53,1),(58,1),(95,1),(108,1),(147,1)}
        36:{3,5,7}:{(21,1),(22,1),(53,1)}
        37:{2,3,4,6,7}:{(22,1),(25,1),(55,1),(56,1),(62,1),(69,1),(95,1),(100,1),(111,1),(146,1),(167,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(29,1),(53,1),(57,1),(58,1),(168,1)}
        39:{1,3,4,5,7}:{(24,1),(26,1),(30,1),(50,1),(54,1),(57,1),(59,1),(67,1),(97,1),(103,1),(110,1),(137,1),(144,1),(168,1)}
        40:{2,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        41:{1,4,6,7}:{(25,1),(28,1),(60,1),(63,1),(101,1)}
        42:{2,4,7}:{(26,1),(27,1),(51,1),(63,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(52,1),(60,1),(63,1),(64,1),(107,1)}
        44:{1,2,6,7}:{(28,1),(64,1),(139,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(58,1),(65,1),(66,1),(100,1)}
        47:{2,4,5,7}:{(30,1),(31,1),(65,1),(67,1),(138,1),(165,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(60,1),(66,1),(67,1),(68,1),(110,1),(168,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(106,1),(108,1),(111,1),(139,1),(167,1)}
        50:{1,3,4,5}:{(33,1),(70,1),(112,1),(150,1),(158,1),(161,1),(171,1)}
        51:{2,4,6}:{(33,1),(34,1),(42,1),(70,1),(72,1)}
        52:{1,3,5,6}:{(34,1),(43,1),(72,1),(73,1),(80,1),(112,1),(115,1),(120,1)}
        53:{3,5,6}:{(35,1),(36,1),(74,1),(128,1),(161,1)}
        54:{3,4,5,7}:{(36,1),(74,1),(76,1),(130,1),(161,1)}
        55:{2,3,5,7}:{(36,1),(37,1),(40,1),(75,1),(76,1),(77,1),(161,1),(173,1)}
        56:{1,3,4,6,7}:{(37,1),(41,1),(77,1),(78,1),(84,1),(85,1),(116,1),(120,1),(125,1),(152,1),(154,1),(157,1),(172,1)}
        57:{1,3,4,6}:{(38,1),(39,1),(45,1),(74,1),(79,1),(87,1),(116,1),(120,1),(128,1),(152,1)}
        58:{2,5,6}:{(38,1),(40,1),(79,1),(80,1),(173,1)}
        59:{2,4,5,7}:{(39,1),(40,1),(42,1),(70,1),(79,1),(81,1),(82,1),(123,1),(160,1),(173,1)}
        60:{1,5,7}:{(40,1),(41,1),(80,1)}
        61:{1,2,4,6,7}:{(41,1),(44,1),(49,1),(78,1),(83,1),(84,1),(86,1),(121,1),(125,1),(126,1),(155,1),(172,1)}
        62:{2,3,4,7}:{(42,1),(71,1),(81,1),(85,1),(127,1),(130,1),(154,1),(160,1)}
        63:{1,4,7}:{(42,1),(43,1),(72,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(73,1),(86,1),(123,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,3,5,6}:{(46,1),(48,1),(80,1),(87,1),(88,1),(120,1),(128,1)}
        67:{1,4,5,7}:{(47,1),(48,1),(87,1),(89,1),(125,1),(158,1)}
        68:{2,5,7}:{(48,1),(49,1),(88,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(84,1),(90,1),(127,1),(128,1),(156,1)}
        70:{2,4,5}:{(50,1),(51,1),(91,1),(92,1),(131,1),(163,1)}
        71:{2,3,4,6}:{(51,1),(62,1),(91,1),(93,1),(100,1),(134,1),(146,1),(163,1),(164,1),(167,1)}
        72:{1,4,6}:{(51,1),(52,1),(63,1),(92,1)}
        73:{1,2,5,6}:{(52,1),(64,1),(94,1),(131,1),(139,1)}
        74:{3,4,6}:{(53,1),(54,1),(95,1)}
        75:{2,3,5,6}:{(53,1),(55,1),(58,1),(95,1),(96,1),(100,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(111,1),(147,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(60,1),(96,1),(97,1),(98,1),(137,1),(168,1),(174,1)}
        78:{2,4,6,7}:{(56,1),(98,1),(99,1),(106,1),(135,1),(138,1),(139,1),(167,1)}
        79:{2,4,6}:{(57,1),(58,1),(59,1),(100,1),(101,1),(139,1)}
        80:{1,5,6}:{(58,1),(60,1),(101,1),(174,1)}
        81:{2,3,5,7}:{(59,1),(62,1),(91,1),(100,1),(103,1),(110,1),(137,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(92,1),(101,1),(103,1),(169,1),(174,1)}
        83:{1,2,5,7}:{(60,1),(61,1),(68,1),(98,1),(102,1),(105,1),(174,1)}
        84:{1,3,6,7}:{(61,1),(69,1),(99,1),(105,1),(107,1),(140,1),(145,1),(166,1)}
        85:{1,3,4,7}:{(62,1),(63,1),(93,1),(103,1),(106,1),(107,1),(145,1),(169,1)}
        86:{1,2,4,7}:{(63,1),(64,1),(94,1),(106,1),(107,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,5,6}:{(66,1),(68,1),(108,1),(139,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(108,1),(110,1),(111,1),(147,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(105,1),(109,1),(110,1),(111,1)}
        91:{2,3,5}:{(70,1),(71,1),(112,1),(161,1),(171,1),(173,1)}
        92:{1,4,5}:{(70,1),(72,1),(112,1),(170,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(85,1),(112,1),(114,1),(115,1),(120,1),(150,1),(151,1),(170,1),(172,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(86,1),(113,1),(114,1),(115,1)}
        95:{2,4,6}:{(74,1),(75,1),(76,1),(116,1)}
        96:{1,3,5,6}:{(75,1),(77,1),(80,1),(116,1),(117,1),(120,1),(152,1)}
        97:{1,4,5,7}:{(76,1),(77,1),(116,1),(118,1),(125,1),(158,1)}
        98:{2,5,7}:{(77,1),(78,1),(117,1),(173,1)}
        99:{2,3,6,7}:{(78,1),(84,1),(119,1),(127,1),(152,1),(156,1)}
       100:{2,3,6}:{(79,1),(81,1),(120,1),(128,1),(152,1)}
       101:{1,4,6}:{(79,1),(80,1),(82,1),(120,1)}
       102:{1,2,5,6}:{(80,1),(83,1),(88,1),(117,1),(121,1),(122,1),(155,1),(173,1)}
       103:{1,3,5,7}:{(81,1),(82,1),(85,1),(112,1),(120,1),(123,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(86,1),(89,1),(113,1),(118,1),(121,1),(123,1),(124,1),(125,1),(158,1),(160,1),(173,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(90,1),(119,1),(122,1),(125,1)}
       106:{2,4,7}:{(85,1),(114,1),(123,1),(127,1)}
       107:{1,3,7}:{(86,1),(115,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{2,3,5,6}:{(88,1),(90,1),(122,1),(128,1),(129,1),(156,1),(161,1),(173,1)}
       110:{3,5,7}:{(89,1),(128,1),(130,1),(161,1)}
       111:{2,4,7}:{(90,1),(125,1),(129,1),(130,1)}
       112:{1,3,5}:{(91,1),(92,1),(93,1),(131,1),(174,1)}
       113:{1,2,4,5}:{(92,1),(94,1),(131,1),(132,1),(163,1)}
       114:{2,4,6}:{(93,1),(106,1),(131,1),(134,1),(139,1),(163,1)}
       115:{1,3,6}:{(94,1),(107,1),(132,1),(134,1)}
       116:{1,4,6}:{(95,1),(96,1),(97,1),(135,1)}
       117:{2,5,6}:{(96,1),(98,1),(135,1),(139,1)}
       118:{2,4,5,7}:{(97,1),(98,1),(135,1),(137,1),(138,1),(165,1)}
       119:{2,3,5,7}:{(98,1),(99,1),(105,1),(136,1),(137,1),(138,1)}
       120:{1,3,6}:{(100,1),(101,1),(103,1),(139,1)}
       121:{1,2,4,6}:{(101,1),(102,1),(104,1),(108,1),(135,1),(139,1),(140,1),(141,1),(167,1)}
       122:{1,3,5,6}:{(102,1),(105,1),(109,1),(136,1),(140,1),(141,1),(166,1),(168,1),(174,1)}
       123:{2,5,7}:{(103,1),(106,1),(131,1),(139,1)}
       124:{1,3,5,7}:{(104,1),(107,1),(110,1),(132,1),(137,1),(140,1),(143,1),(144,1),(168,1)}
       125:{1,4,7}:{(105,1),(111,1),(138,1),(141,1)}
       126:{1,2,4,7}:{(106,1),(133,1),(142,1),(145,1),(169,1)}
       127:{2,3,7}:{(106,1),(107,1),(134,1),(145,1)}
       128:{3,6}:{(108,1),(110,1)}
       129:{2,4,6}:{(109,1),(111,1),(141,1),(146,1),(147,1)}
       130:{3,4,7}:{(110,1),(111,1),(146,1)}
       131:{2,5}:{(112,1),(114,1)}
       132:{1,3,5}:{(113,1),(115,1),(149,1),(150,1)}
       133:{1,2,4,6}:{(114,1),(126,1),(148,1),(151,1),(155,1),(170,1),(172,1)}
       134:{2,3,6}:{(114,1),(115,1),(127,1),(149,1),(151,1)}
       135:{2,4,6}:{(116,1),(117,1),(118,1),(152,1)}
       136:{2,3,5,6}:{(117,1),(119,1),(122,1),(152,1),(153,1),(156,1),(171,1),(173,1)}
       137:{3,5,7}:{(118,1),(152,1),(154,1),(171,1)}
       138:{2,4,7}:{(119,1),(125,1),(153,1),(154,1)}
       139:{2,6}:{(120,1),(123,1)}
       140:{1,3,6}:{(121,1),(124,1),(128,1),(152,1),(156,1)}
       141:{1,4,6}:{(122,1),(125,1),(129,1),(153,1),(158,1)}
       142:{1,2,5,7}:{(123,1),(126,1),(148,1),(155,1),(159,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(127,1),(149,1),(156,1),(159,1),(160,1),(173,1)}
       144:{1,3,4,7}:{(124,1),(125,1),(130,1),(150,1),(154,1),(157,1),(160,1)}
       145:{1,3,7}:{(126,1),(127,1),(151,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(129,1),(158,1),(161,1),(173,1)}
       148:{1,2,5}:{(131,1),(133,1),(162,1),(174,1)}
       149:{2,3,5}:{(131,1),(132,1),(134,1),(162,1),(163,1)}
       150:{1,3,4}:{(132,1),(163,1)}
       151:{1,3,6}:{(133,1),(134,1),(145,1),(162,1)}
       152:{3,6}:{(135,1),(137,1)}
       153:{2,4,6}:{(136,1),(138,1),(141,1),(164,1),(165,1)}
       154:{3,4,7}:{(137,1),(138,1),(164,1)}
       155:{1,2,6}:{(139,1),(142,1),(166,1)}
       156:{2,3,6}:{(139,1),(140,1),(143,1),(166,1),(167,1)}
       157:{1,3,4,6}:{(140,1),(141,1),(144,1),(146,1),(164,1),(167,1),(168,1)}
       158:{1,4,5}:{(141,1),(147,1),(165,1),(168,1),(174,1)}
       159:{1,3,5,7}:{(142,1),(143,1),(145,1),(162,1),(166,1),(169,1),(174,1)}
       160:{2,4,7}:{(143,1),(144,1),(163,1),(167,1),(169,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{1,3,5}:{(148,1),(149,1),(151,1),(170,1)}
       163:{2,4}:{(149,1),(150,1),(170,1)}
       164:{3,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,4,5}:{(153,1),(158,1),(171,1),(173,1)}
       166:{1,3,6}:{(155,1),(156,1),(159,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(160,1),(172,1),(173,1)}
       168:{1,3,5}:{(157,1),(158,1),(161,1),(171,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(170,1),(172,1)}
       170:{1,4}:{(162,1),(163,1)}
       171:{3,5}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(169,1),(174,1)}
       173:{2,5}:{(167,1),(168,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1608 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(123,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(75,1),(122,1)}
         2:{3,4,5,7}:{(0,1),(6,1),(7,1),(105,1),(121,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(53,1),(91,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1)}
         5:{1,4,5,6}:{(1,1),(10,1),(12,1),(13,1),(60,1),(118,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1),(92,1),(117,1)}
         7:{3,4,6,7}:{(2,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(16,1),(17,1),(69,1),(75,1)}
         9:{1,3,4,5}:{(3,1),(16,1),(18,1),(40,1),(49,1),(77,1)}
        10:{1,3,5,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(22,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(17,1),(20,1),(21,1)}
        12:{2,4,5,6}:{(5,1),(19,1),(22,1),(23,1),(46,1),(110,1),(111,1)}
        13:{1,4,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(78,1),(109,1)}
        14:{2,4,6,7}:{(6,1),(7,1),(21,1),(24,1),(25,1)}
        15:{3,5,6,7}:{(7,1),(25,1),(26,1),(121,1)}
        16:{1,3,4,6}:{(8,1),(9,1),(10,1),(28,1),(29,1),(35,1),(54,1),(60,1)}
        17:{2,3,4,7}:{(8,1),(11,1),(29,1),(86,1),(92,1)}
        18:{2,4,5}:{(9,1),(28,1),(30,1)}
        19:{2,5,6}:{(10,1),(28,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(13,1),(29,1),(33,1),(34,1),(36,1)}
        21:{2,3,6,7}:{(11,1),(14,1),(34,1)}
        22:{3,5,6}:{(12,1),(35,1),(36,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(64,1),(97,1),(99,1)}
        24:{1,4,6,7}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,5,6,7}:{(14,1),(15,1),(38,1),(117,1)}
        26:{4,5,6,7}:{(15,1),(124,1)}
        27:{1,2,4,5}:{(18,1),(39,1),(40,1),(70,1),(77,1),(100,1)}
        28:{2,4,6}:{(16,1),(18,1),(19,1),(41,1),(42,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(20,1),(42,1),(50,1),(72,1),(78,1)}
        30:{2,3,5}:{(18,1),(40,1),(41,1),(43,1)}
        31:{1,2,5,6}:{(19,1),(39,1),(44,1),(45,1),(100,1),(119,1)}
        32:{2,3,5,6}:{(19,1),(22,1),(41,1),(44,1),(46,1),(47,1),(73,1),(103,1),(110,1)}
        33:{2,5,7}:{(19,1),(20,1),(42,1),(48,1)}
        34:{1,3,6,7}:{(20,1),(21,1),(24,1),(48,1),(51,1)}
        35:{3,4,6}:{(22,1),(46,1),(49,1),(50,1)}
        36:{3,5,7}:{(22,1),(23,1),(50,1),(51,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(84,1)}
        38:{1,5,6,7}:{(24,1),(25,1),(52,1),(109,1)}
        39:{1,2,4,6}:{(27,1),(28,1),(31,1),(54,1),(55,1),(60,1),(85,1)}
        40:{1,3,5}:{(27,1),(30,1),(53,1),(54,1),(56,1)}
        41:{2,3,6}:{(28,1),(30,1),(54,1),(58,1)}
        42:{2,4,7}:{(28,1),(29,1),(33,1),(58,1)}
        43:{2,3,4}:{(30,1),(56,1)}
        44:{1,3,5,6}:{(31,1),(32,1),(54,1),(59,1),(60,1),(61,1),(87,1),(113,1),(118,1)}
        45:{1,2,5,7}:{(31,1),(33,1),(55,1),(61,1),(62,1),(112,1)}
        46:{2,4,6}:{(32,1),(35,1),(60,1),(63,1),(64,1)}
        47:{2,3,5,7}:{(32,1),(33,1),(36,1),(58,1),(61,1),(64,1),(65,1),(97,1)}
        48:{2,6,7}:{(33,1),(34,1)}
        49:{3,4,5}:{(35,1),(63,1)}
        50:{3,4,7}:{(35,1),(36,1),(64,1)}
        51:{3,6,7}:{(36,1),(37,1)}
        52:{2,5,6,7}:{(37,1),(38,1),(68,1),(97,1)}
        53:{2,3,5}:{(40,1),(69,1),(70,1),(100,1)}
        54:{1,3,6}:{(39,1),(40,1),(41,1),(69,1),(72,1)}
        55:{1,2,4,7}:{(39,1),(42,1),(45,1),(72,1),(78,1),(101,1)}
        56:{1,3,4}:{(40,1),(43,1),(70,1)}
        57:{2,3,4,6}:{(41,1),(43,1),(46,1),(71,1),(73,1),(74,1),(103,1)}
        58:{2,3,7}:{(41,1),(42,1),(72,1)}
        59:{2,3,5,6}:{(44,1),(69,1),(75,1),(76,1),(100,1),(104,1),(119,1),(120,1),(122,1)}
        60:{1,4,6}:{(44,1),(46,1),(75,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(76,1),(78,1),(79,1),(109,1)}
        62:{1,2,6,7}:{(45,1),(48,1),(79,1),(119,1)}
        63:{2,4,5}:{(46,1),(49,1),(73,1),(77,1)}
        64:{2,4,7}:{(46,1),(47,1),(50,1),(78,1)}
        65:{2,3,6,7}:{(47,1),(48,1),(51,1),(79,1),(81,1),(103,1)}
        66:{3,4,5,7}:{(49,1),(50,1),(80,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(50,1),(51,1),(81,1),(82,1),(83,1),(84,1)}
        68:{3,5,6,7}:{(51,1),(52,1),(83,1),(84,1)}
        69:{2,3,6}:{(53,1),(54,1),(85,1),(86,1)}
        70:{2,4}:{(53,1),(56,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(57,1),(60,1),(85,1),(87,1),(88,1),(90,1),(113,1)}
        72:{1,3,7}:{(54,1),(55,1),(58,1),(86,1)}
        73:{2,3,5}:{(57,1),(63,1),(87,1)}
        74:{2,3,4,7}:{(57,1),(58,1),(64,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(90,1),(91,1),(92,1)}
        76:{2,3,5,7}:{(59,1),(61,1),(86,1),(92,1),(93,1),(112,1),(114,1),(117,1)}
        77:{1,4,5}:{(60,1),(63,1),(87,1),(91,1)}
        78:{1,4,7}:{(60,1),(61,1),(64,1),(92,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(65,1),(93,1),(95,1),(113,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(89,1),(94,1),(96,1),(97,1)}
        81:{2,4,6,7}:{(64,1),(65,1),(67,1),(95,1),(96,1),(97,1)}
        82:{3,4,6}:{(66,1),(96,1),(98,1)}
        83:{3,5,7}:{(67,1),(97,1),(98,1),(99,1)}
        84:{4,6,7}:{(68,1),(99,1)}
        85:{2,4,6}:{(69,1),(70,1),(71,1),(100,1),(101,1),(119,1)}
        86:{2,3,7}:{(69,1),(72,1),(101,1)}
        87:{1,3,5}:{(71,1),(73,1),(77,1),(100,1),(104,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(78,1),(101,1),(102,1),(105,1)}
        89:{2,3,5,7}:{(73,1),(74,1),(80,1),(102,1),(103,1)}
        90:{3,4,6}:{(75,1),(104,1),(105,1),(120,1)}
        91:{2,4,5}:{(75,1),(77,1),(100,1),(104,1)}
        92:{2,4,7}:{(75,1),(76,1),(78,1),(105,1)}
        93:{2,3,6,7}:{(76,1),(79,1),(107,1),(119,1),(120,1)}
        94:{1,4,5,7}:{(77,1),(78,1),(80,1),(102,1),(106,1),(108,1),(109,1)}
        95:{1,4,6,7}:{(78,1),(79,1),(81,1),(107,1),(108,1),(109,1)}
        96:{2,4,6}:{(80,1),(82,1),(103,1),(108,1),(110,1)}
        97:{2,5,7}:{(81,1),(83,1),(109,1),(110,1)}
        98:{3,5,6}:{(82,1),(83,1),(110,1),(111,1)}
        99:{4,5,7}:{(83,1),(84,1),(111,1)}
       100:{2,5}:{(85,1),(87,1)}
       101:{2,4,7}:{(85,1),(86,1),(88,1),(112,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(94,1),(112,1),(113,1),(114,1)}
       103:{2,3,6}:{(89,1),(96,1),(113,1)}
       104:{3,5}:{(90,1),(91,1)}
       105:{3,4,7}:{(90,1),(92,1),(114,1)}
       106:{2,4,5,7}:{(91,1),(92,1),(94,1),(112,1),(114,1),(116,1),(117,1),(124,1)}
       107:{2,4,6,7}:{(92,1),(93,1),(95,1),(115,1),(116,1),(117,1)}
       108:{1,4,6}:{(94,1),(96,1),(113,1),(116,1),(118,1)}
       109:{1,5,7}:{(95,1),(97,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(98,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(108,1),(119,1),(120,1)}
       114:{3,5,7}:{(104,1),(105,1),(106,1),(120,1)}
       115:{3,4,6,7}:{(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{2,4,6}:{(106,1),(108,1),(119,1),(120,1),(122,1),(125,1)}
       117:{2,5,7}:{(107,1),(109,1),(121,1),(122,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,6}:{(114,1),(116,1)}
       121:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1609 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(113,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1)}
         3:{2,5,6,7}:{(1,1),(6,1),(7,1),(101,1)}
         4:{3,4,5,6}:{(5,1),(8,1),(105,1),(122,1)}
         5:{3,4,5,7}:{(2,1),(4,1),(9,1),(110,1),(113,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
         7:{1,5,6,7}:{(3,1),(11,1),(12,1),(86,1)}
         8:{2,4,5,6}:{(4,1),(9,1),(13,1),(14,1),(91,1),(114,1)}
         9:{2,4,5,7}:{(5,1),(6,1),(8,1),(16,1),(17,1),(97,1),(101,1)}
        10:{2,3,6,7}:{(6,1),(16,1),(18,1)}
        11:{1,4,6,7}:{(6,1),(7,1),(17,1),(18,1),(19,1)}
        12:{2,5,6,7}:{(7,1),(19,1),(20,1),(70,1)}
        13:{2,3,5,6}:{(8,1),(16,1),(21,1),(22,1)}
        14:{1,4,5,6}:{(8,1),(17,1),(22,1),(23,1),(75,1),(102,1)}
        15:{2,3,4,5}:{(21,1),(24,1),(77,1),(106,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(13,1),(25,1),(26,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(14,1),(26,1),(27,1),(82,1),(86,1)}
        18:{1,3,6,7}:{(10,1),(11,1),(26,1),(28,1),(29,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(30,1)}
        20:{3,5,6,7}:{(12,1),(29,1),(30,1),(54,1)}
        21:{2,3,4,6}:{(13,1),(15,1),(25,1),(31,1),(88,1),(91,1)}
        22:{1,3,5,6}:{(13,1),(14,1),(26,1),(31,1),(32,1),(33,1)}
        23:{2,4,5,6}:{(14,1),(27,1),(32,1),(33,1),(55,1),(59,1),(87,1)}
        24:{1,3,4,5}:{(15,1),(31,1),(34,1),(60,1),(61,1),(92,1)}
        25:{2,3,4,7}:{(16,1),(21,1),(35,1),(94,1),(97,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(18,1),(22,1),(35,1),(36,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(19,1),(23,1),(36,1),(37,1),(41,1),(66,1),(70,1)}
        28:{2,6,7}:{(18,1),(36,1)}
        29:{3,6,7}:{(19,1),(37,1)}
        30:{4,6,7}:{(20,1),(41,1)}
        31:{1,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(42,1),(45,1),(72,1),(75,1)}
        32:{2,5,6}:{(22,1),(36,1),(42,1)}
        33:{3,5,6}:{(23,1),(37,1),(45,1)}
        34:{2,4,5}:{(24,1),(42,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(31,1),(48,1),(51,1),(79,1),(82,1)}
        36:{2,5,7}:{(26,1),(28,1),(32,1),(48,1)}
        37:{3,5,7}:{(27,1),(29,1),(33,1),(51,1)}
        38:{1,2,6,7}:{(28,1),(49,1),(52,1),(123,1)}
        39:{2,3,6,7}:{(28,1),(29,1),(50,1),(52,1),(53,1),(109,1)}
        40:{3,4,6,7}:{(29,1),(30,1),(51,1),(53,1),(54,1),(84,1)}
        41:{4,5,7}:{(30,1),(54,1),(55,1)}
        42:{2,4,6}:{(31,1),(32,1),(34,1),(48,1),(57,1)}
        43:{1,2,5,6}:{(32,1),(49,1),(56,1),(58,1),(115,1),(123,1)}
        44:{2,3,5,6}:{(32,1),(33,1),(50,1),(57,1),(58,1),(59,1),(87,1),(90,1),(109,1)}
        45:{3,4,6}:{(33,1),(51,1),(59,1),(60,1)}
        46:{1,2,4,5}:{(34,1),(56,1),(61,1),(92,1),(93,1),(115,1)}
        47:{2,3,5}:{(34,1),(57,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(42,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(43,1),(63,1),(65,1),(117,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(44,1),(64,1),(65,1),(66,1),(70,1)}
        51:{3,4,7}:{(37,1),(45,1),(66,1)}
        52:{1,3,6,7}:{(38,1),(39,1),(65,1),(68,1),(69,1),(118,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(66,1),(69,1),(70,1),(99,1)}
        54:{3,5,7}:{(40,1),(41,1),(70,1),(71,1)}
        55:{4,5,6}:{(41,1),(71,1)}
        56:{1,2,4,6}:{(42,1),(43,1),(46,1),(63,1),(72,1),(75,1),(103,1)}
        57:{2,3,6}:{(42,1),(47,1),(64,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(65,1),(72,1),(74,1),(75,1),(102,1),(104,1),(118,1)}
        59:{2,4,6}:{(44,1),(45,1),(66,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,5}:{(46,1),(47,1),(72,1),(77,1),(78,1)}
        62:{2,3,4}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(56,1),(79,1),(82,1),(107,1)}
        64:{2,3,7}:{(48,1),(57,1),(79,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(58,1),(79,1),(81,1),(82,1),(86,1)}
        66:{2,4,7}:{(50,1),(51,1),(59,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(60,1),(83,1),(84,1)}
        68:{2,3,6,7}:{(52,1),(81,1),(85,1),(123,1),(124,1)}
        69:{1,4,6,7}:{(52,1),(53,1),(82,1),(85,1),(86,1),(112,1)}
        70:{2,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        71:{3,5,6}:{(54,1),(55,1),(84,1),(87,1)}
        72:{1,3,6}:{(56,1),(57,1),(61,1),(79,1),(88,1)}
        73:{2,3,4,6}:{(57,1),(59,1),(62,1),(80,1),(89,1),(90,1),(109,1)}
        74:{2,3,5,6}:{(58,1),(81,1),(88,1),(91,1),(114,1),(115,1),(116,1),(123,1),(124,1)}
        75:{1,4,6}:{(58,1),(59,1),(82,1),(91,1),(92,1)}
        76:{2,4,5}:{(59,1),(60,1),(90,1),(92,1)}
        77:{2,3,5}:{(61,1),(88,1),(93,1),(115,1)}
        78:{1,3,4}:{(61,1),(62,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(72,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(73,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(74,1),(94,1),(97,1),(101,1),(117,1),(119,1)}
        82:{1,4,7}:{(65,1),(66,1),(75,1),(97,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(76,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(67,1),(71,1),(99,1)}
        85:{2,4,6,7}:{(68,1),(69,1),(97,1),(100,1),(101,1),(120,1)}
        86:{1,5,7}:{(69,1),(70,1),(101,1),(102,1)}
        87:{2,5,6}:{(70,1),(71,1),(99,1),(102,1)}
        88:{2,3,6}:{(72,1),(77,1),(94,1),(103,1)}
        89:{1,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(95,1),(103,1),(104,1),(105,1),(118,1)}
        90:{2,3,5}:{(73,1),(76,1),(104,1)}
        91:{2,4,6}:{(74,1),(75,1),(97,1),(105,1),(106,1)}
        92:{1,4,5}:{(75,1),(76,1),(104,1),(106,1)}
        93:{2,4}:{(77,1),(78,1)}
        94:{2,3,7}:{(79,1),(88,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(89,1),(107,1),(108,1),(110,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(90,1),(108,1),(109,1)}
        97:{2,4,7}:{(81,1),(82,1),(91,1),(110,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(86,1),(92,1),(108,1),(111,1),(112,1)}
        99:{2,4,6}:{(83,1),(84,1),(87,1),(109,1),(112,1)}
       100:{3,4,6,7}:{(85,1),(110,1),(113,1),(124,1),(125,1)}
       101:{2,5,7}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,5,6}:{(86,1),(87,1),(112,1),(114,1)}
       103:{2,4,6}:{(88,1),(89,1),(93,1),(107,1),(115,1),(123,1)}
       104:{1,3,5}:{(89,1),(90,1),(92,1),(115,1),(116,1)}
       105:{3,4,6}:{(91,1),(110,1),(116,1),(124,1)}
       106:{2,4,5}:{(91,1),(92,1),(115,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(103,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(104,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(99,1),(118,1)}
       110:{3,4,7}:{(97,1),(105,1),(119,1)}
       111:{2,4,5,7}:{(97,1),(98,1),(101,1),(106,1),(117,1),(119,1),(120,1),(121,1)}
       112:{1,4,6}:{(98,1),(99,1),(102,1),(118,1),(120,1)}
       113:{3,5,7}:{(100,1),(101,1),(121,1),(122,1)}
       114:{2,5,6}:{(101,1),(102,1),(120,1),(122,1)}
       115:{2,5}:{(103,1),(104,1)}
       116:{3,5}:{(105,1),(106,1)}
       117:{2,5,7}:{(107,1),(108,1),(115,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(112,1),(123,1),(124,1)}
       119:{3,5,7}:{(110,1),(111,1),(116,1),(124,1)}
       120:{2,4,6}:{(111,1),(112,1),(114,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(113,1),(125,1)}
       122:{3,5,6}:{(113,1),(114,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1610 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

1611 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(153,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(151,1),(152,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(16,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(22,1),(24,1),(147,1),(148,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(17,1),(31,1),(36,1),(141,1),(142,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(12,1),(14,1)}
         8:{1,2,3,6,7}:{(4,1),(13,1),(15,1),(66,1),(152,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(16,1),(35,1)}
        10:{1,2,4,5}:{(5,1),(16,1),(17,1)}
        11:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(26,1),(43,1),(51,1),(133,1),(134,1)}
        12:{1,3,4,6}:{(6,1),(7,1),(19,1),(21,1)}
        13:{1,2,4,6,7}:{(7,1),(8,1),(20,1),(22,1),(24,1),(148,1),(150,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(22,1)}
        15:{1,2,3,5,7}:{(8,1),(9,1),(22,1),(24,1),(49,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(24,1),(25,1)}
        17:{1,3,4,5}:{(10,1),(25,1),(26,1)}
        18:{1,3,4,5,7}:{(11,1),(27,1),(28,1),(38,1),(58,1),(69,1),(123,1),(124,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(28,1),(30,1)}
        20:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(31,1),(36,1),(63,1),(66,1),(142,1),(144,1)}
        21:{1,3,5,6}:{(12,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,5,7}:{(13,1),(14,1),(31,1)}
        23:{1,2,4,5,6}:{(14,1),(16,1),(32,1),(34,1),(35,1),(65,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(36,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(35,1),(36,1),(37,1)}
        26:{2,3,4,5}:{(17,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(18,1),(39,1),(40,1),(53,1),(75,1),(89,1),(109,1),(110,1)}
        28:{1,3,4,6}:{(18,1),(19,1),(40,1),(42,1)}
        29:{2,3,4,6,7}:{(19,1),(20,1),(41,1),(43,1),(51,1),(80,1),(86,1),(134,1),(136,1)}
        30:{2,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1)}
        31:{1,3,5,7}:{(20,1),(21,1),(22,1),(43,1),(46,1)}
        32:{1,4,5,6}:{(21,1),(44,1),(46,1)}
        33:{1,2,5,6,7}:{(22,1),(45,1),(48,1),(120,1),(150,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(46,1),(48,1),(49,1),(84,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(49,1),(50,1)}
        36:{1,3,4,7}:{(24,1),(25,1),(49,1),(51,1)}
        37:{2,3,4,6}:{(25,1),(26,1),(50,1),(51,1),(52,1)}
        38:{1,3,4,5}:{(26,1),(52,1),(53,1)}
        39:{1,2,3,5,7}:{(27,1),(54,1),(55,1),(71,1),(92,1),(108,1)}
        40:{1,2,4,6}:{(27,1),(28,1),(55,1),(57,1)}
        41:{1,3,4,6,7}:{(28,1),(29,1),(56,1),(58,1),(69,1),(98,1),(106,1),(124,1),(126,1)}
        42:{1,3,5,6}:{(28,1),(30,1),(57,1),(58,1),(59,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(31,1),(58,1),(61,1)}
        44:{2,4,5,6}:{(30,1),(32,1),(59,1),(61,1),(62,1)}
        45:{1,3,5,6,7}:{(31,1),(33,1),(60,1),(63,1),(66,1),(144,1),(146,1)}
        46:{1,4,5,7}:{(31,1),(32,1),(61,1),(63,1)}
        47:{1,3,4,5,6}:{(32,1),(35,1),(62,1),(64,1),(65,1)}
        48:{1,2,4,6,7}:{(33,1),(34,1),(63,1),(66,1),(104,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(36,1),(66,1),(67,1)}
        50:{2,3,5,6}:{(35,1),(37,1),(65,1),(67,1),(68,1)}
        51:{2,3,4,7}:{(36,1),(37,1),(67,1),(69,1)}
        52:{1,3,4,6}:{(37,1),(38,1),(68,1),(69,1),(70,1)}
        53:{1,2,4,5}:{(38,1),(70,1),(71,1)}
        54:{1,2,3,4,7}:{(39,1),(72,1),(91,1),(110,1)}
        55:{1,2,3,6}:{(39,1),(40,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(73,1),(75,1),(89,1),(110,1),(122,1)}
        57:{1,2,5,6}:{(40,1),(42,1),(75,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(43,1),(75,1),(78,1)}
        59:{1,4,5,6}:{(42,1),(44,1),(78,1)}
        60:{2,3,5,6,7}:{(43,1),(45,1),(77,1),(80,1),(86,1),(119,1),(120,1),(136,1),(139,1)}
        61:{2,4,5,7}:{(43,1),(44,1),(46,1),(78,1),(80,1),(81,1)}
        62:{3,4,5,6}:{(44,1),(81,1)}
        63:{1,4,6,7}:{(45,1),(46,1),(80,1)}
        64:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(81,1),(83,1),(84,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(84,1),(85,1)}
        66:{1,3,6,7}:{(48,1),(49,1),(86,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(51,1),(84,1),(86,1),(87,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(85,1),(87,1),(88,1)}
        69:{1,3,4,7}:{(51,1),(52,1),(87,1),(89,1)}
        70:{1,2,4,6}:{(52,1),(53,1),(88,1),(89,1),(90,1)}
        71:{1,2,3,5}:{(53,1),(90,1),(91,1)}
        72:{1,2,3,4,6}:{(54,1),(55,1),(92,1),(94,1)}
        73:{1,2,3,6,7}:{(55,1),(56,1),(93,1),(108,1),(126,1)}
        74:{1,2,3,5,6}:{(55,1),(57,1),(92,1),(93,1),(94,1),(97,1)}
        75:{1,2,5,7}:{(56,1),(57,1),(58,1)}
        76:{1,2,4,5,6}:{(57,1),(59,1),(94,1),(96,1),(97,1),(100,1)}
        77:{1,3,5,6,7}:{(58,1),(60,1),(95,1),(98,1),(106,1),(126,1),(132,1)}
        78:{1,4,5,7}:{(58,1),(59,1),(61,1),(98,1)}
        79:{1,3,4,5,6}:{(59,1),(62,1),(97,1),(99,1),(100,1)}
        80:{2,4,6,7}:{(60,1),(61,1),(63,1),(98,1),(102,1)}
        81:{3,4,5,7}:{(61,1),(62,1),(102,1)}
        82:{1,4,5,6,7}:{(63,1),(101,1),(103,1),(146,1)}
        83:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(102,1),(103,1),(104,1)}
        84:{2,4,5,7}:{(64,1),(65,1),(67,1),(104,1),(105,1)}
        85:{1,4,5,6}:{(65,1),(68,1),(105,1)}
        86:{2,3,6,7}:{(66,1),(67,1),(104,1),(106,1)}
        87:{1,3,5,7}:{(67,1),(68,1),(69,1),(105,1),(106,1),(107,1)}
        88:{1,2,5,6}:{(68,1),(70,1),(107,1)}
        89:{1,2,4,7}:{(69,1),(70,1),(107,1),(108,1)}
        90:{1,2,3,6}:{(70,1),(71,1),(108,1)}
        91:{1,2,3,4}:{(71,1)}
        92:{1,2,3,5}:{(72,1),(109,1)}
        93:{1,2,3,5,7}:{(73,1),(74,1),(75,1),(110,1),(113,1)}
        94:{1,2,4,6}:{(74,1),(109,1),(110,1),(111,1)}
        95:{1,2,5,6,7}:{(75,1),(77,1),(112,1),(122,1),(139,1)}
        96:{1,2,4,5,7}:{(75,1),(76,1),(78,1),(110,1),(112,1),(113,1),(117,1)}
        97:{1,3,5,6}:{(76,1),(111,1),(113,1),(114,1)}
        98:{1,4,6,7}:{(77,1),(78,1),(80,1)}
        99:{1,3,4,5,7}:{(78,1),(79,1),(81,1),(113,1),(116,1),(117,1)}
       100:{2,4,5,6}:{(79,1),(114,1),(117,1),(118,1)}
       101:{2,4,5,6,7}:{(80,1),(82,1),(115,1),(119,1),(120,1),(139,1)}
       102:{3,4,6,7}:{(80,1),(81,1),(119,1)}
       103:{1,3,5,6,7}:{(82,1),(83,1),(119,1),(120,1)}
       104:{2,4,6,7}:{(83,1),(84,1),(86,1),(120,1),(121,1)}
       105:{1,4,5,7}:{(84,1),(85,1),(87,1),(121,1)}
       106:{1,3,6,7}:{(86,1),(87,1),(121,1),(122,1)}
       107:{1,2,5,7}:{(87,1),(88,1),(89,1),(122,1)}
       108:{1,2,3,7}:{(89,1),(90,1)}
       109:{1,2,4,5}:{(92,1),(94,1),(123,1)}
       110:{1,2,4,7}:{(93,1),(94,1),(124,1)}
       111:{1,3,4,6}:{(94,1),(97,1),(123,1),(124,1),(125,1)}
       112:{1,2,4,6,7}:{(95,1),(96,1),(98,1),(126,1),(130,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(124,1),(126,1),(127,1)}
       114:{2,3,5,6}:{(97,1),(100,1),(125,1),(127,1),(128,1)}
       115:{1,4,5,6,7}:{(98,1),(101,1),(129,1),(132,1)}
       116:{1,3,4,6,7}:{(98,1),(99,1),(102,1),(126,1),(129,1),(130,1)}
       117:{2,4,5,7}:{(99,1),(100,1),(127,1),(130,1),(131,1)}
       118:{1,4,5,6}:{(100,1),(128,1),(131,1)}
       119:{3,5,6,7}:{(101,1),(102,1)}
       120:{2,5,6,7}:{(103,1),(104,1),(132,1)}
       121:{1,4,6,7}:{(104,1),(105,1),(106,1),(132,1)}
       122:{1,2,6,7}:{(106,1),(107,1)}
       123:{1,3,4,5}:{(109,1),(111,1),(133,1)}
       124:{1,3,4,7}:{(110,1),(111,1),(113,1),(134,1)}
       125:{2,3,4,6}:{(111,1),(114,1),(133,1),(134,1),(135,1)}
       126:{1,3,6,7}:{(112,1),(113,1),(136,1)}
       127:{2,3,5,7}:{(113,1),(114,1),(117,1),(134,1),(136,1),(137,1)}
       128:{1,3,5,6}:{(114,1),(118,1),(135,1),(137,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(119,1),(139,1)}
       130:{2,4,6,7}:{(116,1),(117,1),(136,1),(139,1),(140,1)}
       131:{1,4,5,7}:{(117,1),(118,1),(137,1),(140,1)}
       132:{1,5,6,7}:{(120,1),(121,1)}
       133:{2,3,4,5}:{(123,1),(125,1),(141,1)}
       134:{2,3,4,7}:{(124,1),(125,1),(127,1),(142,1)}
       135:{1,3,4,6}:{(125,1),(128,1),(141,1),(142,1),(143,1)}
       136:{2,3,6,7}:{(126,1),(127,1),(130,1),(144,1)}
       137:{1,3,5,7}:{(127,1),(128,1),(131,1),(142,1),(144,1),(145,1)}
       138:{1,2,5,6}:{(128,1),(143,1),(145,1)}
       139:{2,5,6,7}:{(129,1),(130,1),(146,1)}
       140:{1,4,6,7}:{(130,1),(131,1),(144,1),(146,1)}
       141:{1,3,4,5}:{(133,1),(135,1),(147,1)}
       142:{1,3,4,7}:{(134,1),(135,1),(137,1),(148,1)}
       143:{1,2,4,6}:{(135,1),(138,1),(147,1),(148,1),(149,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(140,1),(150,1)}
       145:{1,2,5,7}:{(137,1),(138,1),(148,1),(150,1)}
       146:{1,5,6,7}:{(139,1),(140,1)}
       147:{1,2,4,5}:{(141,1),(143,1),(151,1)}
       148:{1,2,4,7}:{(142,1),(143,1),(145,1),(152,1)}
       149:{1,2,3,6}:{(143,1),(151,1),(152,1)}
       150:{1,2,6,7}:{(144,1),(145,1)}
       151:{1,2,3,5}:{(147,1),(149,1),(153,1)}
       152:{1,2,3,7}:{(148,1),(149,1)}
       153:{1,2,3,4}:{(151,1)}

1612 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(21,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(21,1),(26,1),(50,1),(56,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(30,1),(50,1),(56,1),(81,1),(86,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(10,1),(123,1)}
         4:{1,2,3,6}:{(0,1),(10,1),(12,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(11,1),(12,1),(34,1)}
         6:{1,2,4,6}:{(1,1),(12,1),(14,1),(16,1),(40,1)}
         7:{2,4,5,7}:{(2,1),(11,1),(15,1),(16,1),(43,1),(66,1),(71,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(16,1),(18,1),(40,1),(72,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(19,1),(20,1),(56,1),(119,1)}
        10:{1,2,4,6}:{(3,1),(4,1),(20,1),(21,1),(120,1),(124,1)}
        11:{2,3,5,7}:{(5,1),(7,1),(19,1),(22,1),(23,1),(49,1)}
        12:{1,3,6}:{(5,1),(6,1),(23,1)}
        13:{1,2,4,6,7}:{(6,1),(24,1),(26,1),(28,1),(56,1)}
        14:{1,2,5,6}:{(6,1),(21,1),(25,1),(26,1),(29,1),(120,1)}
        15:{1,4,5,7}:{(7,1),(22,1),(27,1),(57,1),(80,1),(84,1)}
        16:{2,4,6}:{(7,1),(8,1),(23,1),(27,1),(29,1)}
        17:{1,3,4,6,7}:{(8,1),(24,1),(28,1),(30,1),(56,1),(62,1),(86,1),(90,1)}
        18:{1,3,5,6}:{(8,1),(29,1),(30,1),(31,1),(61,1)}
        19:{2,3,4,7}:{(9,1),(11,1),(32,1),(33,1),(71,1),(113,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(12,1),(33,1),(34,1),(40,1),(114,1),(121,1)}
        21:{1,2,5}:{(10,1),(34,1)}
        22:{1,3,5,7}:{(11,1),(15,1),(32,1),(35,1),(36,1),(65,1)}
        23:{2,3,6}:{(11,1),(12,1),(16,1),(36,1)}
        24:{1,3,6,7}:{(12,1),(13,1),(37,1),(39,1),(116,1)}
        25:{1,3,5,6}:{(12,1),(14,1),(34,1),(38,1),(39,1),(40,1),(100,1),(114,1)}
        26:{1,2,5,7}:{(13,1),(14,1),(39,1),(43,1),(123,1)}
        27:{1,4,6}:{(15,1),(16,1),(36,1),(42,1)}
        28:{2,4,6,7}:{(16,1),(17,1),(37,1),(41,1),(43,1),(71,1)}
        29:{2,5,6}:{(16,1),(18,1),(42,1),(43,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(43,1),(46,1),(77,1)}
        31:{1,4,5,6}:{(18,1),(40,1),(44,1),(46,1),(100,1)}
        32:{1,3,4,7}:{(19,1),(22,1),(47,1),(48,1),(84,1),(104,1)}
        33:{2,3,4,6}:{(19,1),(20,1),(23,1),(48,1),(49,1),(55,1),(105,1),(117,1)}
        34:{1,3,5}:{(20,1),(21,1),(49,1),(50,1)}
        35:{1,2,5,7}:{(22,1),(47,1),(51,1),(79,1)}
        36:{1,3,6}:{(22,1),(23,1),(27,1),(51,1)}
        37:{2,3,6,7}:{(23,1),(24,1),(28,1),(52,1),(54,1),(90,1),(108,1)}
        38:{2,3,5,6}:{(23,1),(25,1),(29,1),(49,1),(53,1),(54,1),(55,1),(61,1),(89,1),(105,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(26,1),(54,1),(56,1),(109,1),(119,1)}
        40:{1,4,6}:{(25,1),(50,1),(55,1),(56,1)}
        41:{1,4,6,7}:{(27,1),(28,1),(52,1),(57,1),(84,1)}
        42:{1,5,6}:{(27,1),(29,1),(57,1)}
        43:{2,5,7}:{(28,1),(29,1),(30,1),(57,1)}
        44:{2,4,5,6}:{(29,1),(31,1),(55,1),(58,1),(60,1),(61,1),(89,1)}
        45:{1,3,5,6,7}:{(30,1),(59,1),(62,1),(90,1)}
        46:{1,4,5,7}:{(30,1),(31,1),(56,1),(60,1),(62,1),(109,1)}
        47:{1,2,4,7}:{(32,1),(35,1),(63,1),(64,1)}
        48:{1,3,4,6}:{(32,1),(33,1),(36,1),(64,1),(65,1),(70,1),(95,1),(110,1)}
        49:{2,3,5}:{(33,1),(34,1),(65,1),(66,1)}
        50:{1,4,5}:{(34,1),(40,1),(66,1)}
        51:{1,2,6}:{(35,1),(36,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(41,1),(67,1),(69,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(42,1),(65,1),(68,1),(69,1),(70,1),(95,1)}
        54:{2,3,5,7}:{(37,1),(38,1),(39,1),(43,1),(69,1),(71,1),(77,1),(99,1),(113,1)}
        55:{2,4,6}:{(38,1),(40,1),(66,1),(70,1),(71,1),(72,1)}
        56:{1,4,7}:{(39,1),(40,1),(71,1)}
        57:{1,5,7}:{(41,1),(42,1),(43,1)}
        58:{1,4,5,6}:{(42,1),(44,1),(70,1),(74,1),(75,1)}
        59:{2,5,6,7}:{(43,1),(45,1),(73,1),(76,1)}
        60:{2,4,5,7}:{(43,1),(44,1),(46,1),(71,1),(74,1),(76,1),(77,1),(99,1)}
        61:{3,5,6}:{(44,1),(72,1),(77,1)}
        62:{1,4,6,7}:{(45,1),(46,1),(76,1),(116,1)}
        63:{1,2,3,7}:{(47,1),(78,1),(104,1)}
        64:{1,2,4,6}:{(47,1),(48,1),(51,1),(78,1),(79,1),(101,1)}
        65:{1,3,5}:{(48,1),(49,1),(79,1),(80,1)}
        66:{2,4,5}:{(49,1),(50,1),(55,1),(80,1),(81,1)}
        67:{1,2,6,7}:{(51,1),(52,1),(82,1),(108,1)}
        68:{1,2,5,6}:{(51,1),(53,1),(79,1),(82,1),(83,1),(89,1)}
        69:{1,3,5,7}:{(52,1),(53,1),(54,1),(57,1),(82,1),(84,1),(104,1)}
        70:{1,4,6}:{(53,1),(55,1),(80,1),(84,1)}
        71:{2,4,7}:{(54,1),(55,1),(56,1),(84,1),(86,1)}
        72:{3,4,6}:{(55,1),(61,1),(81,1),(86,1)}
        73:{1,5,6,7}:{(57,1),(59,1),(87,1)}
        74:{1,4,5,7}:{(57,1),(58,1),(60,1),(84,1),(87,1),(88,1)}
        75:{1,3,5,6}:{(58,1),(61,1),(85,1),(88,1),(89,1)}
        76:{2,4,6,7}:{(59,1),(60,1),(62,1),(87,1),(90,1),(108,1)}
        77:{3,5,7}:{(60,1),(61,1),(86,1),(90,1)}
        78:{1,2,3,6}:{(63,1),(64,1),(91,1),(95,1)}
        79:{1,2,5}:{(64,1),(65,1)}
        80:{1,4,5}:{(65,1),(66,1),(70,1)}
        81:{3,4,5}:{(66,1),(72,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(69,1),(94,1),(99,1)}
        83:{1,2,4,6}:{(68,1),(70,1),(92,1),(94,1),(95,1),(97,1)}
        84:{1,4,7}:{(69,1),(70,1),(71,1)}
        85:{1,3,4,6}:{(70,1),(72,1),(75,1),(93,1),(95,1),(96,1),(97,1)}
        86:{3,4,7}:{(71,1),(72,1),(77,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(77,1),(96,1),(98,1),(99,1)}
        89:{2,5,6}:{(75,1),(97,1),(99,1),(100,1)}
        90:{3,6,7}:{(76,1),(77,1)}
        91:{1,2,3,5}:{(78,1),(79,1),(101,1),(102,1)}
        92:{1,2,4,5}:{(79,1),(80,1),(83,1),(101,1),(102,1),(103,1)}
        93:{1,3,4,5}:{(80,1),(81,1),(85,1),(102,1),(103,1)}
        94:{1,2,4,7}:{(82,1),(83,1),(84,1),(104,1),(106,1)}
        95:{1,3,6}:{(83,1),(102,1),(104,1),(105,1)}
        96:{1,3,4,7}:{(84,1),(85,1),(86,1),(88,1),(104,1),(106,1)}
        97:{2,4,6}:{(85,1),(89,1),(103,1),(105,1),(106,1),(107,1)}
        98:{1,3,6,7}:{(87,1),(88,1),(90,1),(108,1)}
        99:{2,5,7}:{(88,1),(89,1),(106,1),(108,1),(109,1)}
       100:{1,5,6}:{(89,1),(107,1),(109,1)}
       101:{1,2,4}:{(91,1),(110,1)}
       102:{1,3,5}:{(92,1),(95,1),(110,1),(111,1)}
       103:{2,4,5}:{(93,1),(97,1),(111,1),(112,1)}
       104:{1,3,7}:{(94,1),(95,1),(113,1)}
       105:{2,3,6}:{(95,1),(97,1),(111,1),(113,1),(114,1)}
       106:{2,4,7}:{(96,1),(97,1),(99,1),(113,1),(115,1)}
       107:{1,4,6}:{(97,1),(100,1),(112,1),(114,1),(115,1)}
       108:{2,6,7}:{(98,1),(99,1),(116,1)}
       109:{1,5,7}:{(99,1),(100,1),(115,1),(116,1)}
       110:{1,3,4}:{(101,1),(102,1),(117,1)}
       111:{2,3,5}:{(102,1),(103,1),(105,1),(117,1),(118,1)}
       112:{1,4,5}:{(103,1),(107,1),(118,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(119,1)}
       114:{1,3,6}:{(105,1),(107,1),(118,1),(119,1),(120,1)}
       115:{1,4,7}:{(106,1),(107,1),(109,1),(119,1)}
       116:{1,6,7}:{(108,1),(109,1)}
       117:{2,3,4}:{(110,1),(111,1),(121,1)}
       118:{1,3,5}:{(111,1),(112,1),(114,1),(121,1),(122,1)}
       119:{1,3,7}:{(113,1),(114,1),(115,1),(123,1)}
       120:{1,2,6}:{(114,1),(122,1),(123,1)}
       121:{1,3,4}:{(117,1),(118,1),(124,1)}
       122:{1,2,5}:{(118,1),(120,1),(124,1)}
       123:{1,2,7}:{(119,1),(120,1)}
       124:{1,2,4}:{(121,1),(122,1),(125,1)}
       125:{1,2,3}:{(124,1)}

1613 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(18,1),(116,1),(118,1),(196,1),(197,1),(200,1),(210,1),(271,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(9,1),(27,1),(33,1),(93,1),(95,1),(147,1),(149,1),(156,1),(158,1),(241,1),(244,1),(253,1),(308,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(8,1),(30,1),(83,1),(239,1),(252,1),(307,1)}
         3:{1,2,4,5,7}:{(5,1),(9,1),(10,1),(11,1),(41,1),(44,1),(93,1),(95,1),(308,1),(309,1),(312,1),(361,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(44,1),(361,1),(362,1),(363,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(55,1),(116,1),(118,1),(282,1),(286,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(17,1),(21,1),(49,1),(65,1),(111,1),(119,1),(292,1),(340,1)}
         7:{2,3,4,6,7}:{(2,1),(16,1),(18,1),(53,1),(60,1),(118,1),(199,1),(200,1),(203,1),(213,1),(274,1)}
         8:{2,3,5,6}:{(2,1),(17,1),(18,1),(19,1),(279,1),(291,1),(339,1)}
         9:{1,3,5,7}:{(3,1),(14,1),(20,1),(21,1),(63,1),(342,1),(345,1)}
        10:{1,2,4,6}:{(3,1),(15,1),(21,1),(23,1),(65,1),(340,1),(381,1)}
        11:{1,2,4,7}:{(4,1),(20,1),(24,1),(383,1)}
        12:{1,2,3,6}:{(4,1),(21,1),(24,1),(381,1)}
        13:{1,2,4,5,7}:{(5,1),(27,1),(28,1),(73,1),(78,1),(143,1),(147,1),(149,1),(253,1),(254,1),(257,1),(261,1)}
        14:{2,3,5,7}:{(5,1),(9,1),(27,1),(29,1),(30,1),(81,1),(319,1),(323,1)}
        15:{2,4,6}:{(5,1),(6,1),(30,1),(32,1)}
        16:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(33,1),(39,1),(76,1),(87,1),(95,1),(149,1),(158,1),(161,1),(244,1),(248,1),(256,1),(311,1)}
        17:{1,3,5,6}:{(6,1),(8,1),(32,1),(33,1),(34,1),(86,1),(326,1),(364,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(33,1),(36,1),(242,1),(255,1),(310,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(36,1),(37,1),(83,1)}
        20:{1,3,4,7}:{(9,1),(11,1),(29,1),(38,1),(95,1),(367,1)}
        21:{1,3,6}:{(9,1),(10,1),(30,1)}
        22:{1,2,4,6,7}:{(10,1),(31,1),(39,1),(41,1),(95,1),(311,1),(312,1),(314,1)}
        23:{1,2,5,6}:{(10,1),(32,1),(40,1),(41,1),(44,1),(364,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(44,1)}
        25:{1,2,3,6,7}:{(12,1),(39,1),(43,1),(45,1),(174,1),(177,1),(314,1),(363,1),(369,1),(395,1)}
        26:{1,2,3,5,6}:{(12,1),(40,1),(44,1),(45,1),(46,1),(99,1),(100,1),(102,1),(177,1),(237,1),(313,1),(362,1),(395,1),(397,1),(410,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(48,1),(49,1),(109,1),(294,1),(297,1)}
        28:{1,2,4,6}:{(13,1),(15,1),(49,1),(51,1),(111,1),(292,1),(298,1)}
        29:{2,3,4,7}:{(14,1),(20,1),(48,1),(52,1),(118,1),(350,1)}
        30:{2,3,6}:{(14,1),(15,1),(21,1),(49,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(53,1),(55,1),(118,1),(286,1),(290,1)}
        32:{2,5,6}:{(15,1),(17,1),(55,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(18,1),(55,1),(58,1),(121,1),(295,1),(343,1)}
        34:{1,4,5,6}:{(17,1),(19,1),(56,1),(58,1),(65,1),(111,1)}
        35:{2,3,5,6,7}:{(18,1),(57,1),(60,1),(127,1),(203,1),(206,1)}
        36:{2,4,5,7}:{(18,1),(19,1),(58,1),(60,1),(61,1),(118,1)}
        37:{3,4,5,6}:{(19,1),(61,1),(119,1),(279,1)}
        38:{1,3,4,6}:{(20,1),(21,1),(24,1),(52,1),(63,1),(65,1)}
        39:{1,3,6,7}:{(21,1),(22,1),(53,1),(64,1),(345,1)}
        40:{1,3,5,6}:{(21,1),(23,1),(54,1),(63,1),(64,1),(65,1)}
        41:{1,2,5,7}:{(22,1),(23,1),(55,1),(64,1),(343,1)}
        42:{1,2,4,5,6}:{(23,1),(56,1),(65,1),(67,1),(68,1),(70,1),(126,1),(133,1),(137,1),(205,1),(208,1),(276,1),(291,1),(384,1),(388,1),(406,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(62,1),(69,1),(71,1),(137,1),(213,1),(337,1),(381,1),(405,1)}
        44:{1,2,5}:{(24,1),(63,1)}
        45:{1,2,3,5,7}:{(25,1),(26,1),(64,1),(69,1),(71,1),(135,1),(138,1),(278,1),(345,1),(387,1)}
        46:{1,2,4,6}:{(26,1),(65,1),(70,1),(71,1),(72,1),(133,1),(383,1),(406,1)}
        47:{1,2,3,5,7}:{(27,1),(73,1),(74,1),(143,1),(261,1),(262,1),(263,1)}
        48:{1,3,4,7}:{(27,1),(29,1),(73,1),(75,1),(149,1),(329,1)}
        49:{1,3,6}:{(27,1),(28,1),(30,1)}
        50:{1,2,4,6,7}:{(28,1),(31,1),(76,1),(78,1),(149,1),(256,1),(257,1),(259,1)}
        51:{1,2,5,6}:{(28,1),(32,1),(77,1),(78,1),(143,1),(326,1)}
        52:{2,3,4,6}:{(29,1),(30,1),(38,1),(75,1),(81,1),(83,1)}
        53:{2,3,6,7}:{(30,1),(31,1),(39,1),(76,1),(82,1),(161,1),(323,1)}
        54:{2,3,5,6}:{(30,1),(32,1),(40,1),(77,1),(81,1),(82,1),(83,1),(86,1)}
        55:{2,5,7}:{(31,1),(32,1),(33,1)}
        56:{2,4,5,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,3,5,6,7}:{(33,1),(35,1),(84,1),(87,1),(161,1),(248,1),(250,1)}
        58:{1,4,5,7}:{(33,1),(34,1),(36,1),(85,1),(87,1),(95,1),(149,1)}
        59:{1,3,4,5,6}:{(34,1),(37,1),(86,1),(88,1),(89,1),(96,1),(150,1),(163,1),(251,1),(306,1),(315,1),(370,1),(400,1)}
        60:{2,4,6,7}:{(35,1),(36,1),(87,1),(91,1)}
        61:{3,4,5,7}:{(36,1),(37,1),(91,1),(158,1),(242,1)}
        62:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(92,1),(95,1),(103,1),(167,1),(177,1),(304,1),(311,1),(360,1),(369,1),(398,1),(399,1)}
        63:{1,3,5}:{(38,1),(44,1),(81,1),(93,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(82,1),(95,1)}
        65:{1,4,6}:{(40,1),(83,1),(93,1),(95,1)}
        66:{1,2,5,6,7}:{(41,1),(84,1),(94,1),(97,1),(100,1),(250,1),(255,1),(314,1),(325,1),(368,1)}
        67:{1,2,4,5,7}:{(41,1),(42,1),(85,1),(95,1),(97,1),(98,1),(166,1),(170,1),(172,1),(249,1),(255,1),(312,1),(368,1),(374,1),(399,1)}
        68:{1,3,5,6}:{(42,1),(86,1),(96,1),(98,1),(99,1),(102,1),(177,1),(313,1),(400,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(92,1),(100,1),(255,1),(410,1)}
        70:{1,2,4,5}:{(44,1),(46,1),(93,1),(102,1),(169,1),(410,1),(411,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(95,1),(103,1),(172,1),(399,1)}
        72:{1,3,4,6}:{(46,1),(102,1),(103,1),(104,1),(177,1),(313,1),(367,1)}
        73:{1,2,4,7}:{(47,1),(48,1),(105,1),(300,1)}
        74:{1,2,3,6}:{(47,1),(49,1),(105,1),(298,1)}
        75:{1,3,4,6}:{(48,1),(49,1),(52,1),(105,1),(109,1),(111,1)}
        76:{1,3,6,7}:{(49,1),(50,1),(53,1),(110,1),(297,1)}
        77:{1,3,5,6}:{(49,1),(51,1),(54,1),(109,1),(110,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(55,1),(110,1),(295,1)}
        79:{1,2,4,5,6}:{(51,1),(56,1),(111,1),(113,1),(114,1),(126,1),(183,1),(191,1),(205,1),(215,1),(264,1),(269,1),(339,1),(355,1),(388,1),(393,1)}
        80:{2,3,4,6,7}:{(52,1),(53,1),(62,1),(108,1),(115,1),(118,1),(140,1),(195,1),(199,1),(213,1),(218,1),(267,1),(274,1),(334,1),(353,1),(390,1),(392,1)}
        81:{2,3,5}:{(52,1),(63,1),(109,1),(116,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(55,1),(64,1),(110,1),(118,1),(121,1)}
        83:{2,4,6}:{(54,1),(65,1),(111,1),(116,1),(118,1),(119,1)}
        84:{2,5,6,7}:{(55,1),(57,1),(120,1),(290,1)}
        85:{2,4,5,7}:{(55,1),(56,1),(58,1),(118,1),(120,1),(121,1)}
        86:{3,5,6}:{(56,1),(119,1),(121,1)}
        87:{1,4,6,7}:{(57,1),(58,1),(60,1),(120,1)}
        88:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(121,1),(124,1),(125,1),(132,1),(190,1),(204,1),(212,1),(273,1),(283,1),(351,1),(391,1)}
        89:{2,4,5,6}:{(59,1),(122,1),(125,1),(126,1),(133,1),(191,1),(205,1),(291,1),(339,1)}
        90:{2,4,5,6,7}:{(60,1),(123,1),(127,1),(198,1),(206,1),(354,1)}
        91:{3,4,6,7}:{(60,1),(61,1),(127,1)}
        92:{1,3,5,7}:{(62,1),(63,1),(69,1),(115,1),(128,1),(129,1),(343,1),(407,1)}
        93:{1,4,5}:{(63,1),(65,1),(116,1)}
        94:{1,3,5,6,7}:{(64,1),(66,1),(117,1),(128,1),(131,1),(134,1),(212,1),(277,1),(343,1),(387,1)}
        95:{1,4,7}:{(64,1),(65,1),(118,1)}
        96:{1,3,4,6}:{(65,1),(68,1),(119,1),(130,1),(132,1),(133,1),(406,1),(408,1)}
        97:{1,2,4,6,7}:{(66,1),(67,1),(120,1),(131,1),(134,1),(137,1),(207,1),(213,1),(290,1),(354,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(121,1),(132,1),(134,1),(135,1),(345,1),(391,1)}
        99:{2,3,5,6}:{(68,1),(133,1),(135,1),(136,1),(139,1),(205,1),(218,1),(287,1),(291,1)}
       100:{1,2,5,6}:{(69,1),(128,1),(137,1),(291,1),(381,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(129,1),(137,1),(138,1),(210,1)}
       102:{1,3,5}:{(70,1),(72,1),(139,1)}
       103:{1,3,4,7}:{(71,1),(72,1),(138,1),(140,1),(345,1)}
       104:{2,3,4,6}:{(72,1),(133,1),(139,1),(140,1),(141,1),(218,1),(287,1),(350,1)}
       105:{1,2,4,6}:{(73,1),(74,1),(75,1),(143,1)}
       106:{1,2,3,6,7}:{(74,1),(76,1),(142,1),(144,1),(235,1),(259,1),(263,1),(301,1),(331,1),(332,1)}
       107:{1,2,3,5,6}:{(74,1),(77,1),(143,1),(144,1),(145,1),(153,1),(176,1),(223,1),(225,1),(258,1),(262,1),(301,1),(332,1),(377,1),(380,1)}
       108:{1,3,4,6,7}:{(75,1),(76,1),(80,1),(142,1),(146,1),(149,1),(180,1),(226,1),(228,1),(256,1),(260,1),(301,1),(331,1),(378,1),(379,1)}
       109:{1,3,5}:{(75,1),(81,1),(143,1),(147,1)}
       110:{1,3,5,7}:{(76,1),(77,1),(78,1),(82,1),(149,1)}
       111:{1,4,6}:{(77,1),(83,1),(147,1),(149,1)}
       112:{1,2,5,6,7}:{(78,1),(84,1),(148,1),(151,1),(223,1),(250,1),(259,1),(310,1),(325,1),(330,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(85,1),(149,1),(151,1),(152,1),(166,1),(231,1),(233,1),(249,1),(257,1),(310,1),(330,1),(374,1),(379,1)}
       114:{1,3,5,6}:{(79,1),(86,1),(150,1),(152,1),(153,1),(225,1),(258,1),(301,1),(400,1)}
       115:{2,3,5,7}:{(80,1),(81,1),(92,1),(146,1),(154,1),(155,1),(242,1),(255,1),(310,1),(402,1)}
       116:{2,4,5}:{(81,1),(83,1),(93,1),(147,1),(156,1)}
       117:{2,3,5,6,7}:{(82,1),(84,1),(94,1),(148,1),(154,1),(157,1),(161,1),(174,1),(235,1),(242,1),(255,1),(310,1),(325,1),(375,1),(376,1)}
       118:{2,4,7}:{(82,1),(83,1),(95,1),(149,1),(158,1)}
       119:{3,4,6}:{(83,1),(86,1),(156,1),(158,1)}
       120:{2,4,6,7}:{(84,1),(85,1),(87,1),(161,1)}
       121:{3,5,7}:{(85,1),(86,1),(158,1),(161,1)}
       122:{2,3,5,6}:{(86,1),(89,1),(159,1),(162,1),(163,1),(400,1)}
       123:{1,4,5,6,7}:{(87,1),(90,1),(160,1),(164,1),(170,1),(231,1),(250,1),(324,1)}
       124:{1,3,4,6,7}:{(87,1),(88,1),(91,1),(161,1),(164,1),(165,1),(246,1),(248,1),(324,1),(376,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(162,1),(165,1),(166,1),(172,1),(233,1),(249,1),(255,1),(310,1)}
       126:{1,4,5,6}:{(89,1),(163,1),(166,1),(173,1),(234,1),(326,1),(364,1)}
       127:{3,5,6,7}:{(90,1),(91,1),(242,1),(376,1)}
       128:{1,3,5,6}:{(92,1),(100,1),(154,1),(167,1),(177,1),(360,1),(364,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(155,1),(167,1),(399,1),(411,1)}
       130:{1,3,4,5}:{(93,1),(96,1),(102,1),(156,1),(169,1),(411,1),(412,1)}
       131:{1,4,6,7}:{(94,1),(95,1),(157,1),(167,1),(170,1),(399,1)}
       132:{1,3,4,7}:{(95,1),(96,1),(98,1),(158,1),(172,1),(399,1),(403,1)}
       133:{2,4,6}:{(96,1),(99,1),(169,1),(172,1),(173,1)}
       134:{1,3,6,7}:{(97,1),(98,1),(161,1),(174,1),(177,1),(376,1)}
       135:{2,3,5,7}:{(98,1),(99,1),(172,1),(174,1),(175,1),(249,1),(255,1),(323,1)}
       136:{1,3,5,6}:{(99,1),(173,1),(175,1),(176,1),(179,1),(258,1),(260,1),(326,1)}
       137:{1,2,4,6}:{(100,1),(101,1),(167,1),(177,1),(252,1)}
       138:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(178,1)}
       139:{2,3,5}:{(102,1),(104,1),(169,1),(179,1)}
       140:{2,3,4,7}:{(103,1),(104,1),(172,1),(178,1),(180,1),(323,1)}
       141:{1,3,4,6}:{(104,1),(173,1),(179,1),(180,1),(181,1),(258,1),(260,1),(329,1)}
       142:{1,2,4,6,7}:{(105,1),(106,1),(108,1),(182,1),(184,1),(221,1),(264,1),(274,1),(298,1),(359,1)}
       143:{1,2,5}:{(105,1),(109,1)}
       144:{1,2,3,5,7}:{(106,1),(107,1),(110,1),(182,1),(184,1),(193,1),(217,1),(265,1),(297,1),(358,1)}
       145:{1,2,4,6}:{(107,1),(111,1),(183,1),(184,1),(185,1),(191,1),(300,1),(393,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(115,1),(182,1),(186,1),(187,1),(295,1),(394,1)}
       147:{1,4,5}:{(109,1),(111,1),(116,1)}
       148:{1,3,5,6,7}:{(110,1),(112,1),(117,1),(186,1),(189,1),(192,1),(216,1),(273,1),(295,1),(358,1)}
       149:{1,4,7}:{(110,1),(111,1),(118,1)}
       150:{1,3,4,6}:{(111,1),(114,1),(119,1),(188,1),(190,1),(191,1),(393,1),(408,1)}
       151:{1,2,4,6,7}:{(112,1),(113,1),(120,1),(189,1),(192,1),(207,1),(264,1),(274,1),(290,1),(354,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(121,1),(190,1),(192,1),(193,1),(297,1),(391,1)}
       153:{2,3,5,6}:{(114,1),(191,1),(193,1),(194,1),(205,1),(266,1),(287,1),(334,1),(339,1)}
       154:{2,3,5,6}:{(115,1),(128,1),(186,1),(195,1),(218,1),(279,1),(291,1),(334,1),(339,1)}
       155:{2,4,5,7}:{(115,1),(116,1),(118,1),(129,1),(187,1),(195,1),(196,1),(392,1),(409,1)}
       156:{3,4,5}:{(116,1),(119,1)}
       157:{2,4,6,7}:{(117,1),(118,1),(131,1),(189,1),(195,1),(198,1),(199,1),(392,1)}
       158:{3,4,7}:{(118,1),(119,1),(121,1)}
       159:{2,3,4,6}:{(119,1),(122,1),(133,1),(191,1),(197,1),(200,1),(201,1),(287,1),(408,1)}
       160:{2,4,5,6,7}:{(120,1),(123,1),(198,1),(202,1),(206,1),(288,1)}
       161:{3,6,7}:{(120,1),(121,1)}
       162:{2,3,5,7}:{(121,1),(122,1),(125,1),(200,1),(203,1),(204,1),(391,1)}
       163:{1,3,5,6}:{(122,1),(126,1),(201,1),(204,1),(205,1)}
       164:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(202,1),(206,1),(212,1),(273,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(203,1),(206,1),(207,1),(290,1)}
       166:{1,4,5,7}:{(125,1),(126,1),(204,1),(207,1),(214,1),(275,1),(295,1),(343,1)}
       167:{1,4,6}:{(128,1),(129,1),(195,1)}
       168:{1,3,4,5,7}:{(129,1),(130,1),(132,1),(138,1),(196,1),(209,1),(210,1),(212,1)}
       169:{2,4,5}:{(130,1),(133,1),(139,1),(211,1)}
       170:{1,4,5,7}:{(131,1),(198,1),(208,1),(212,1),(343,1)}
       171:{1,3,4,6,7}:{(131,1),(132,1),(134,1),(199,1),(209,1),(212,1),(213,1)}
       172:{2,4,7}:{(132,1),(133,1),(135,1),(214,1)}
       173:{1,4,6}:{(133,1),(136,1),(211,1),(214,1)}
       174:{2,3,6,7}:{(134,1),(135,1),(213,1),(216,1),(218,1),(290,1)}
       175:{1,3,5,7}:{(135,1),(136,1),(214,1),(216,1),(217,1),(295,1),(297,1)}
       176:{1,2,5,6}:{(136,1),(205,1),(215,1),(217,1),(220,1),(298,1)}
       177:{1,3,6}:{(137,1),(138,1),(218,1)}
       178:{2,3,5,7}:{(138,1),(139,1),(140,1),(210,1),(218,1),(219,1)}
       179:{1,3,5}:{(139,1),(141,1),(211,1),(220,1)}
       180:{1,3,4,7}:{(140,1),(141,1),(214,1),(219,1),(221,1),(297,1)}
       181:{1,2,4,6}:{(141,1),(220,1),(221,1),(222,1),(298,1),(300,1)}
       182:{1,2,5,7}:{(142,1),(143,1),(146,1),(223,1),(310,1),(380,1)}
       183:{1,2,4,5}:{(143,1),(145,1),(147,1),(225,1),(230,1),(380,1),(404,1)}
       184:{1,2,4,7}:{(144,1),(145,1),(149,1),(226,1),(233,1),(379,1)}
       185:{1,3,4,6}:{(145,1),(225,1),(226,1),(227,1),(258,1),(301,1),(329,1)}
       186:{1,3,5,6}:{(146,1),(154,1),(223,1),(228,1),(260,1),(301,1),(326,1)}
       187:{1,4,5,7}:{(146,1),(147,1),(149,1),(155,1),(228,1),(379,1),(404,1)}
       188:{1,3,4,5}:{(147,1),(150,1),(156,1),(225,1),(230,1),(404,1),(412,1)}
       189:{1,4,6,7}:{(148,1),(149,1),(157,1),(228,1),(231,1),(379,1)}
       190:{1,3,4,7}:{(149,1),(150,1),(152,1),(158,1),(233,1),(379,1),(403,1)}
       191:{2,4,6}:{(150,1),(153,1),(230,1),(233,1),(234,1)}
       192:{1,3,6,7}:{(151,1),(152,1),(161,1),(235,1),(301,1),(376,1)}
       193:{2,3,5,7}:{(152,1),(153,1),(233,1),(235,1),(236,1),(249,1),(310,1),(323,1)}
       194:{1,3,5,6}:{(153,1),(234,1),(236,1),(237,1),(303,1),(313,1),(360,1),(364,1)}
       195:{2,4,6}:{(154,1),(155,1),(167,1),(228,1),(239,1)}
       196:{3,4,5,7}:{(155,1),(156,1),(158,1),(239,1),(242,1),(403,1),(412,1)}
       197:{2,3,4,5}:{(156,1),(159,1),(169,1),(230,1),(241,1),(319,1),(412,1)}
       198:{2,4,5,7}:{(157,1),(170,1),(231,1),(238,1),(242,1),(255,1),(310,1)}
       199:{3,4,6,7}:{(157,1),(158,1),(161,1),(239,1),(242,1),(376,1),(403,1)}
       200:{2,3,4,7}:{(158,1),(159,1),(162,1),(172,1),(233,1),(244,1),(323,1),(403,1)}
       201:{1,3,4,6}:{(159,1),(163,1),(173,1),(234,1),(241,1),(244,1),(245,1),(258,1),(313,1)}
       202:{3,5,6,7}:{(160,1),(161,1),(242,1),(246,1)}
       203:{2,3,6,7}:{(161,1),(162,1),(165,1),(248,1),(376,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(166,1),(244,1),(248,1),(249,1)}
       205:{2,5,6}:{(163,1),(245,1),(249,1)}
       206:{2,5,6,7}:{(164,1),(165,1),(250,1),(255,1),(310,1)}
       207:{1,4,6,7}:{(165,1),(166,1),(248,1),(250,1)}
       208:{1,4,5,6}:{(167,1),(170,1),(238,1),(251,1),(364,1)}
       209:{1,3,4,6}:{(167,1),(168,1),(177,1),(239,1),(251,1),(252,1)}
       210:{2,4,5,7}:{(168,1),(169,1),(172,1),(178,1),(252,1),(253,1),(255,1)}
       211:{1,4,5}:{(169,1),(173,1),(179,1)}
       212:{1,3,5,7}:{(170,1),(171,1),(242,1),(251,1),(255,1)}
       213:{2,4,6,7}:{(171,1),(172,1),(174,1),(252,1),(255,1),(256,1)}
       214:{1,4,7}:{(172,1),(173,1),(175,1)}
       215:{1,2,4,6}:{(173,1),(176,1),(245,1),(254,1),(257,1),(258,1)}
       216:{1,3,6,7}:{(174,1),(175,1),(256,1),(259,1),(260,1)}
       217:{1,2,5,7}:{(175,1),(176,1),(249,1),(257,1),(259,1)}
       218:{2,3,6}:{(177,1),(178,1),(252,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(180,1),(253,1),(260,1),(261,1)}
       220:{1,2,5}:{(179,1),(181,1)}
       221:{1,2,4,7}:{(180,1),(181,1),(261,1),(263,1)}
       222:{1,2,3,6}:{(181,1),(258,1),(262,1),(263,1)}
       223:{1,2,5,6}:{(182,1),(186,1),(264,1),(298,1),(339,1)}
       224:{1,2,4,5,7}:{(182,1),(183,1),(184,1),(187,1),(264,1),(265,1),(271,1)}
       225:{1,3,5}:{(183,1),(185,1),(266,1)}
       226:{1,3,4,7}:{(184,1),(185,1),(265,1),(267,1),(297,1)}
       227:{2,3,4,6}:{(185,1),(191,1),(266,1),(267,1),(268,1),(287,1),(334,1),(350,1)}
       228:{1,4,6}:{(186,1),(187,1),(195,1)}
       229:{1,3,4,5,7}:{(187,1),(188,1),(190,1),(196,1),(265,1),(270,1),(271,1),(273,1)}
       230:{2,4,5}:{(188,1),(191,1),(266,1),(272,1)}
       231:{1,4,5,7}:{(189,1),(198,1),(269,1),(273,1),(295,1)}
       232:{1,3,4,6,7}:{(189,1),(190,1),(192,1),(199,1),(270,1),(273,1),(274,1)}
       233:{2,4,7}:{(190,1),(191,1),(193,1),(275,1)}
       234:{1,4,6}:{(191,1),(194,1),(272,1),(275,1)}
       235:{2,3,6,7}:{(192,1),(193,1),(274,1),(277,1),(290,1),(334,1)}
       236:{1,3,5,7}:{(193,1),(194,1),(275,1),(277,1),(278,1),(343,1),(345,1)}
       237:{1,2,5,6}:{(194,1),(205,1),(276,1),(278,1),(336,1),(381,1)}
       238:{2,4,5,6}:{(195,1),(198,1),(208,1),(269,1),(279,1),(291,1),(339,1)}
       239:{3,4,6}:{(195,1),(196,1),(279,1)}
       240:{2,3,4,5,7}:{(196,1),(197,1),(200,1),(210,1),(271,1),(280,1),(281,1),(284,1),(349,1),(392,1),(409,1)}
       241:{1,3,4,5}:{(197,1),(201,1),(211,1),(272,1),(282,1),(294,1),(342,1)}
       242:{3,5,7}:{(198,1),(199,1),(279,1)}
       243:{2,3,4,6,7}:{(199,1),(200,1),(203,1),(213,1),(274,1),(280,1),(284,1),(285,1),(288,1),(353,1),(392,1)}
       244:{1,3,4,7}:{(200,1),(201,1),(204,1),(214,1),(275,1),(286,1),(297,1),(345,1)}
       245:{2,4,6}:{(201,1),(205,1),(282,1),(286,1),(287,1)}
       246:{3,4,6,7}:{(202,1),(283,1),(288,1)}
       247:{2,3,5,6,7}:{(202,1),(203,1),(206,1),(284,1),(288,1),(289,1)}
       248:{1,3,6,7}:{(203,1),(204,1),(207,1),(290,1)}
       249:{2,5,7}:{(204,1),(205,1),(286,1),(290,1)}
       250:{1,5,6,7}:{(206,1),(207,1),(295,1),(343,1)}
       251:{1,3,5,6}:{(208,1),(209,1),(212,1),(279,1),(291,1)}
       252:{2,4,6}:{(209,1),(210,1),(218,1),(291,1),(292,1)}
       253:{1,4,5,7}:{(210,1),(211,1),(214,1),(219,1),(292,1),(295,1)}
       254:{1,2,4,5}:{(211,1),(215,1),(220,1),(282,1),(294,1),(300,1)}
       255:{2,5,7}:{(212,1),(213,1),(291,1),(295,1)}
       256:{1,4,6,7}:{(213,1),(214,1),(216,1),(292,1),(295,1)}
       257:{1,2,4,7}:{(214,1),(215,1),(217,1),(286,1),(297,1)}
       258:{1,3,6}:{(215,1),(287,1),(294,1),(297,1)}
       259:{1,2,6,7}:{(216,1),(217,1),(290,1),(298,1)}
       260:{1,3,6}:{(218,1),(219,1),(292,1),(298,1)}
       261:{1,2,5,7}:{(219,1),(220,1),(221,1),(298,1)}
       262:{1,2,3,5}:{(220,1),(222,1),(294,1),(300,1)}
       263:{1,2,3,7}:{(221,1),(222,1),(297,1)}
       264:{1,2,4,6}:{(223,1),(224,1),(228,1),(301,1),(307,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(301,1),(302,1)}
       266:{2,3,5}:{(225,1),(227,1),(230,1),(303,1)}
       267:{2,3,4,7}:{(226,1),(227,1),(233,1),(302,1),(304,1),(323,1)}
       268:{1,3,4,6}:{(227,1),(234,1),(303,1),(304,1),(305,1),(313,1),(360,1),(367,1)}
       269:{1,4,5,6}:{(228,1),(231,1),(238,1),(306,1),(326,1)}
       270:{1,3,4,6}:{(228,1),(229,1),(239,1),(301,1),(306,1),(307,1)}
       271:{2,4,5,7}:{(229,1),(230,1),(233,1),(302,1),(307,1),(308,1),(310,1)}
       272:{1,4,5}:{(230,1),(234,1),(303,1)}
       273:{1,3,5,7}:{(231,1),(232,1),(242,1),(306,1),(310,1)}
       274:{2,4,6,7}:{(232,1),(233,1),(235,1),(307,1),(310,1),(311,1)}
       275:{1,4,7}:{(233,1),(234,1),(236,1)}
       276:{1,2,4,6}:{(234,1),(237,1),(245,1),(309,1),(312,1),(313,1)}
       277:{1,3,6,7}:{(235,1),(236,1),(311,1),(314,1),(360,1)}
       278:{1,2,5,7}:{(236,1),(237,1),(249,1),(312,1),(314,1)}
       279:{3,5,6}:{(238,1),(239,1),(242,1)}
       280:{2,3,4,6}:{(239,1),(240,1),(252,1),(307,1),(316,1),(317,1),(372,1),(401,1)}
       281:{1,3,4,5,7}:{(240,1),(241,1),(244,1),(253,1),(308,1),(317,1),(318,1),(321,1),(328,1),(366,1),(379,1),(399,1),(403,1),(404,1),(411,1),(412,1)}
       282:{2,4,5}:{(241,1),(245,1),(319,1)}
       283:{3,4,5,7}:{(242,1),(246,1),(315,1),(320,1),(403,1)}
       284:{2,3,5,7}:{(242,1),(243,1),(255,1),(310,1),(316,1),(320,1),(321,1)}
       285:{1,3,4,6,7}:{(243,1),(244,1),(248,1),(256,1),(311,1),(317,1),(321,1),(322,1),(324,1),(331,1),(369,1),(376,1),(379,1),(399,1),(403,1)}
       286:{2,4,7}:{(244,1),(245,1),(249,1),(323,1)}
       287:{2,3,6}:{(245,1),(258,1),(313,1),(319,1),(323,1)}
       288:{2,4,6,7}:{(246,1),(247,1),(320,1),(324,1)}
       289:{1,3,5,6,7}:{(247,1),(248,1),(250,1),(321,1),(324,1),(325,1),(376,1)}
       290:{2,6,7}:{(248,1),(249,1)}
       291:{2,5,6}:{(251,1),(252,1),(255,1),(326,1)}
       292:{1,4,6}:{(252,1),(253,1),(260,1),(326,1)}
       293:{1,2,4,5,7}:{(253,1),(254,1),(257,1),(261,1),(318,1),(327,1),(328,1),(330,1),(333,1),(379,1),(380,1),(404,1)}
       294:{1,3,5}:{(254,1),(258,1),(319,1),(329,1)}
       295:{1,5,7}:{(255,1),(256,1),(326,1)}
       296:{1,2,4,6,7}:{(256,1),(257,1),(259,1),(322,1),(327,1),(330,1),(331,1),(379,1)}
       297:{1,3,7}:{(257,1),(258,1),(323,1)}
       298:{1,2,6}:{(260,1),(261,1)}
       299:{1,2,3,5,7}:{(261,1),(262,1),(263,1),(328,1),(332,1),(333,1),(380,1)}
       300:{1,2,4}:{(262,1),(329,1)}
       301:{1,3,6}:{(264,1),(265,1),(334,1)}
       302:{2,3,5,7}:{(265,1),(266,1),(267,1),(271,1),(334,1),(335,1)}
       303:{1,3,5}:{(266,1),(268,1),(272,1),(336,1)}
       304:{1,3,4,7}:{(267,1),(268,1),(275,1),(335,1),(337,1),(345,1)}
       305:{1,2,4,6}:{(268,1),(336,1),(337,1),(338,1),(381,1),(383,1)}
       306:{1,3,5,6}:{(269,1),(270,1),(273,1),(279,1),(339,1)}
       307:{2,4,6}:{(270,1),(271,1),(334,1),(339,1),(340,1)}
       308:{1,4,5,7}:{(271,1),(272,1),(275,1),(335,1),(340,1),(343,1)}
       309:{1,2,4,5}:{(272,1),(276,1),(282,1),(336,1),(342,1),(383,1)}
       310:{2,5,7}:{(273,1),(274,1),(339,1),(343,1)}
       311:{1,4,6,7}:{(274,1),(275,1),(277,1),(340,1),(343,1)}
       312:{1,2,4,7}:{(275,1),(276,1),(278,1),(286,1),(345,1)}
       313:{1,3,6}:{(276,1),(287,1),(342,1),(345,1)}
       314:{1,2,6,7}:{(277,1),(278,1),(290,1),(381,1)}
       315:{3,4,5,6}:{(279,1),(283,1),(346,1),(408,1)}
       316:{2,3,5,6}:{(279,1),(280,1),(284,1),(291,1),(339,1),(346,1),(347,1)}
       317:{1,3,4,6}:{(280,1),(281,1),(292,1),(340,1),(347,1),(348,1),(356,1),(385,1),(393,1),(406,1),(408,1)}
       318:{2,4,5,7}:{(281,1),(282,1),(286,1),(348,1),(349,1),(352,1),(392,1),(409,1)}
       319:{2,3,5}:{(282,1),(287,1),(294,1),(342,1),(350,1)}
       320:{2,4,5,7}:{(283,1),(284,1),(288,1),(346,1),(351,1),(392,1)}
       321:{1,3,5,7}:{(284,1),(285,1),(295,1),(343,1),(347,1),(351,1),(352,1),(391,1)}
       322:{2,4,6,7}:{(285,1),(286,1),(290,1),(348,1),(352,1),(353,1),(392,1)}
       323:{2,3,7}:{(286,1),(287,1),(297,1),(345,1)}
       324:{1,4,6,7}:{(288,1),(289,1),(351,1),(354,1)}
       325:{2,5,6,7}:{(289,1),(290,1),(352,1),(354,1)}
       326:{1,5,6}:{(291,1),(292,1),(295,1)}
       327:{1,2,4,6}:{(292,1),(293,1),(298,1),(348,1),(355,1),(356,1),(393,1)}
       328:{1,3,5,7}:{(293,1),(294,1),(297,1),(349,1),(356,1),(357,1),(394,1)}
       329:{1,3,4}:{(294,1),(300,1),(350,1)}
       330:{1,2,5,7}:{(295,1),(296,1),(352,1),(355,1),(358,1)}
       331:{1,3,6,7}:{(296,1),(297,1),(353,1),(356,1),(358,1)}
       332:{1,2,3,6}:{(298,1),(299,1),(356,1),(359,1)}
       333:{1,2,4,7}:{(299,1),(300,1),(357,1),(359,1)}
       334:{2,3,6}:{(301,1),(302,1),(307,1),(360,1)}
       335:{1,3,5,7}:{(302,1),(303,1),(304,1),(308,1),(360,1),(361,1)}
       336:{1,2,5}:{(303,1),(305,1)}
       337:{1,2,4,7}:{(304,1),(305,1),(361,1),(363,1)}
       338:{1,2,3,6}:{(305,1),(313,1),(362,1),(363,1)}
       339:{2,5,6}:{(306,1),(307,1),(310,1),(364,1)}
       340:{1,4,6}:{(307,1),(308,1),(360,1),(364,1)}
       341:{1,2,4,5,7}:{(308,1),(309,1),(312,1),(318,1),(361,1),(365,1),(366,1),(368,1),(396,1),(399,1),(410,1),(411,1)}
       342:{1,3,5}:{(309,1),(313,1),(319,1),(367,1)}
       343:{1,5,7}:{(310,1),(311,1),(364,1)}
       344:{1,2,4,6,7}:{(311,1),(312,1),(314,1),(322,1),(365,1),(368,1),(369,1),(399,1)}
       345:{1,3,7}:{(312,1),(313,1),(323,1)}
       346:{2,4,5,6}:{(315,1),(316,1),(320,1),(370,1),(401,1)}
       347:{1,3,5,6}:{(316,1),(317,1),(321,1),(326,1),(364,1),(370,1),(371,1),(400,1)}
       348:{2,4,6}:{(317,1),(318,1),(371,1),(372,1)}
       349:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(366,1),(372,1),(373,1),(402,1)}
       350:{2,3,4}:{(319,1),(329,1),(367,1)}
       351:{1,4,5,7}:{(320,1),(321,1),(324,1),(370,1),(374,1),(379,1),(399,1)}
       352:{2,5,7}:{(321,1),(322,1),(371,1)}
       353:{2,3,6,7}:{(322,1),(323,1),(331,1),(369,1),(372,1),(375,1),(376,1)}
       354:{2,4,6,7}:{(324,1),(325,1),(374,1),(376,1)}
       355:{1,2,5,6}:{(326,1),(327,1),(330,1),(371,1),(377,1),(380,1)}
       356:{1,3,6}:{(327,1),(328,1),(372,1)}
       357:{1,3,4,7}:{(328,1),(329,1),(333,1),(373,1),(378,1),(379,1)}
       358:{1,3,5,7}:{(330,1),(331,1),(375,1),(377,1),(379,1)}
       359:{1,2,4,6}:{(332,1),(333,1),(378,1),(380,1)}
       360:{1,3,6}:{(334,1),(335,1),(340,1),(381,1)}
       361:{1,2,5,7}:{(335,1),(336,1),(337,1),(381,1)}
       362:{1,2,3,5}:{(336,1),(338,1),(342,1),(383,1)}
       363:{1,2,3,7}:{(337,1),(338,1),(345,1)}
       364:{1,5,6}:{(339,1),(340,1),(343,1)}
       365:{1,2,4,6}:{(340,1),(341,1),(348,1),(381,1),(384,1),(385,1),(406,1)}
       366:{1,3,5,7}:{(341,1),(342,1),(345,1),(349,1),(385,1),(386,1),(407,1)}
       367:{1,3,4}:{(342,1),(350,1),(383,1)}
       368:{1,2,5,7}:{(343,1),(344,1),(352,1),(384,1),(387,1)}
       369:{1,3,6,7}:{(344,1),(345,1),(353,1),(385,1),(387,1)}
       370:{1,4,5,6}:{(346,1),(347,1),(351,1),(388,1),(393,1),(406,1)}
       371:{2,5,6}:{(347,1),(348,1),(352,1)}
       372:{2,3,6}:{(348,1),(349,1),(356,1),(385,1)}
       373:{2,3,4,7}:{(349,1),(350,1),(357,1),(386,1),(390,1),(392,1)}
       374:{2,4,5,7}:{(351,1),(352,1),(354,1),(388,1),(391,1),(392,1)}
       375:{2,3,5,7}:{(352,1),(353,1),(358,1),(387,1),(389,1),(391,1),(392,1)}
       376:{3,6,7}:{(354,1),(391,1)}
       377:{1,3,5,6}:{(355,1),(356,1),(358,1),(389,1),(393,1),(394,1)}
       378:{1,3,4,6}:{(356,1),(357,1),(359,1),(390,1),(393,1),(394,1)}
       379:{1,4,7}:{(358,1),(392,1),(393,1)}
       380:{1,2,5}:{(359,1),(394,1)}
       381:{1,2,6}:{(360,1),(361,1)}
       382:{1,2,3,5,7}:{(361,1),(362,1),(363,1),(366,1),(395,1),(396,1),(410,1)}
       383:{1,2,4}:{(362,1),(367,1)}
       384:{1,2,5,6}:{(364,1),(365,1),(368,1),(371,1),(397,1),(410,1)}
       385:{1,3,6}:{(365,1),(366,1),(372,1)}
       386:{1,3,4,7}:{(366,1),(367,1),(373,1),(396,1),(398,1),(399,1)}
       387:{1,3,5,7}:{(368,1),(369,1),(375,1),(397,1),(399,1)}
       388:{2,4,5,6}:{(370,1),(371,1),(374,1),(400,1),(401,1)}
       389:{2,3,5,6}:{(371,1),(372,1),(375,1),(377,1),(397,1),(400,1),(401,1),(402,1)}
       390:{2,3,4,6}:{(372,1),(373,1),(378,1),(398,1),(401,1),(402,1)}
       391:{3,5,7}:{(374,1),(376,1),(400,1),(403,1)}
       392:{2,4,7}:{(375,1),(379,1),(399,1),(401,1),(403,1)}
       393:{1,4,6}:{(377,1),(379,1),(401,1),(404,1)}
       394:{1,3,5}:{(378,1),(380,1),(402,1),(404,1)}
       395:{1,2,3,6}:{(381,1),(382,1),(385,1),(405,1)}
       396:{1,2,4,7}:{(382,1),(383,1),(386,1),(405,1)}
       397:{1,3,5,6}:{(384,1),(385,1),(387,1),(389,1),(406,1),(407,1)}
       398:{1,3,4,6}:{(385,1),(386,1),(390,1),(405,1),(406,1),(407,1)}
       399:{1,4,7}:{(387,1),(392,1),(406,1)}
       400:{3,5,6}:{(388,1),(391,1),(408,1)}
       401:{2,4,6}:{(389,1),(392,1),(393,1),(406,1),(408,1),(409,1)}
       402:{2,3,5}:{(390,1),(394,1),(407,1),(409,1)}
       403:{3,4,7}:{(391,1),(392,1),(408,1)}
       404:{1,4,5}:{(393,1),(394,1),(409,1)}
       405:{1,2,4,6}:{(395,1),(396,1),(398,1),(410,1)}
       406:{1,4,6}:{(397,1),(399,1),(401,1),(411,1)}
       407:{1,3,5}:{(398,1),(402,1),(410,1),(411,1)}
       408:{3,4,6}:{(400,1),(401,1),(403,1),(412,1)}
       409:{2,4,5}:{(401,1),(402,1),(404,1),(411,1),(412,1)}
       410:{1,2,5}:{(405,1),(407,1)}
       411:{1,4,5}:{(406,1),(407,1),(409,1)}
       412:{3,4,5}:{(408,1),(409,1)}

1614 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(97,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(36,1),(76,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(29,1),(81,1),(106,1),(110,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(43,1),(81,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(43,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(93,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1),(23,1),(47,1),(59,1),(88,1),(93,1)}
         8:{2,3,4,7}:{(1,1),(18,1),(20,1),(58,1),(98,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(19,1),(22,1),(23,1),(24,1),(59,1)}
        11:{1,3,5}:{(3,1),(21,1),(23,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(66,1),(104,1),(106,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(30,1),(31,1),(76,1),(135,1)}
        16:{3,4,5,7}:{(5,1),(31,1),(32,1),(111,1),(133,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(30,1),(33,1),(34,1),(71,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1)}
        19:{2,4,6}:{(7,1),(9,1),(33,1),(36,1),(37,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(34,1),(37,1),(42,1),(70,1),(82,1),(107,1),(111,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(36,1),(38,1)}
        22:{1,2,5,6}:{(10,1),(33,1),(39,1),(40,1),(43,1),(85,1)}
        23:{1,3,6}:{(10,1),(11,1),(36,1),(42,1)}
        24:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        25:{1,3,4}:{(11,1),(13,1),(38,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(41,1),(43,1),(44,1),(85,1)}
        27:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        28:{1,2,4,6}:{(14,1),(19,1),(46,1),(47,1),(48,1),(88,1)}
        29:{1,3,5}:{(14,1),(21,1),(47,1),(49,1)}
        30:{1,4,5,6}:{(15,1),(17,1),(50,1),(51,1),(59,1),(88,1),(128,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(18,1),(51,1),(52,1),(98,1),(127,1)}
        32:{3,4,6,7}:{(16,1),(52,1),(53,1)}
        33:{2,5,6}:{(17,1),(19,1),(55,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(20,1),(51,1),(55,1),(56,1),(94,1)}
        35:{2,3,6,7}:{(18,1),(52,1),(56,1)}
        36:{2,3,6}:{(19,1),(21,1),(23,1),(47,1),(58,1)}
        37:{2,4,7}:{(19,1),(20,1),(55,1),(58,1)}
        38:{2,3,4}:{(21,1),(25,1),(49,1)}
        39:{1,3,5,6}:{(22,1),(23,1),(54,1),(59,1),(60,1),(62,1),(103,1),(128,1)}
        40:{1,2,5,7}:{(22,1),(24,1),(55,1),(60,1),(61,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(26,1),(57,1),(59,1),(62,1),(63,1),(103,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,2,5}:{(26,1),(62,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(64,1)}
        45:{1,2,3,5}:{(29,1),(65,1),(66,1),(104,1)}
        46:{1,2,5,6}:{(28,1),(33,1),(67,1),(68,1),(104,1),(129,1)}
        47:{1,3,6}:{(28,1),(29,1),(36,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,4}:{(29,1),(38,1),(66,1)}
        50:{2,4,5,6}:{(30,1),(33,1),(71,1),(72,1),(76,1),(135,1),(139,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(82,1),(107,1),(118,1),(131,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(35,1),(73,1),(74,1)}
        53:{3,5,6,7}:{(32,1),(74,1),(75,1),(133,1)}
        54:{2,3,5,6}:{(33,1),(36,1),(39,1),(67,1),(71,1),(76,1),(77,1),(79,1),(116,1),(135,1)}
        55:{2,5,7}:{(33,1),(34,1),(37,1),(78,1)}
        56:{1,3,6,7}:{(34,1),(35,1),(73,1),(78,1),(112,1)}
        57:{2,3,4,6}:{(36,1),(38,1),(41,1),(69,1),(76,1),(79,1),(80,1),(116,1)}
        58:{2,3,7}:{(36,1),(37,1),(42,1),(70,1)}
        59:{1,4,6}:{(39,1),(76,1),(81,1),(82,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(77,1),(82,1),(83,1),(118,1)}
        61:{1,2,6,7}:{(40,1),(78,1),(83,1),(85,1)}
        62:{1,3,5}:{(41,1),(43,1),(79,1),(81,1)}
        63:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1),(82,1),(84,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(85,1)}
        65:{1,2,3,6}:{(45,1),(47,1),(86,1),(87,1)}
        66:{1,2,4}:{(45,1),(49,1)}
        67:{1,3,5,6}:{(46,1),(47,1),(54,1),(88,1),(89,1),(91,1),(122,1),(136,1)}
        68:{1,2,5,7}:{(46,1),(48,1),(55,1),(89,1),(90,1)}
        69:{1,3,4,6}:{(47,1),(49,1),(57,1),(86,1),(88,1),(91,1),(92,1),(122,1)}
        70:{1,3,7}:{(47,1),(48,1),(58,1)}
        71:{3,5,6}:{(50,1),(93,1),(94,1)}
        72:{2,4,5,7}:{(50,1),(51,1),(55,1),(94,1),(95,1),(98,1),(127,1),(138,1)}
        73:{1,4,6,7}:{(51,1),(52,1),(56,1),(95,1),(96,1)}
        74:{2,5,6,7}:{(52,1),(53,1),(96,1),(127,1)}
        75:{4,5,6,7}:{(53,1),(138,1)}
        76:{2,4,6}:{(54,1),(59,1),(88,1),(93,1),(97,1),(98,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(58,1),(60,1),(89,1),(94,1),(98,1),(99,1),(127,1)}
        78:{2,6,7}:{(55,1),(56,1)}
        79:{2,3,5}:{(57,1),(62,1),(91,1),(97,1)}
        80:{2,3,4,7}:{(57,1),(58,1),(63,1),(92,1),(98,1),(100,1)}
        81:{1,4,5}:{(59,1),(62,1),(97,1)}
        82:{1,4,7}:{(59,1),(60,1),(98,1)}
        83:{1,3,6,7}:{(60,1),(61,1),(99,1),(102,1),(103,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(100,1),(101,1),(103,1)}
        85:{1,2,6}:{(64,1),(103,1)}
        86:{1,2,4,6}:{(65,1),(66,1),(69,1),(104,1),(105,1),(129,1)}
        87:{1,2,3,7}:{(65,1),(70,1),(105,1)}
        88:{1,4,6}:{(67,1),(76,1),(106,1),(107,1)}
        89:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(107,1),(108,1),(131,1)}
        90:{1,2,6,7}:{(68,1),(78,1),(108,1),(129,1)}
        91:{1,3,5}:{(69,1),(79,1),(104,1),(106,1)}
        92:{1,3,4,7}:{(69,1),(70,1),(80,1),(105,1),(107,1),(109,1)}
        93:{3,4,6}:{(71,1),(76,1),(110,1),(111,1)}
        94:{3,5,7}:{(71,1),(72,1),(111,1),(112,1)}
        95:{2,4,6,7}:{(72,1),(73,1),(78,1),(112,1),(113,1),(134,1)}
        96:{1,5,6,7}:{(73,1),(74,1),(113,1),(118,1),(131,1)}
        97:{2,4,5}:{(76,1),(79,1),(81,1),(106,1),(110,1)}
        98:{2,4,7}:{(76,1),(77,1),(82,1),(107,1),(111,1)}
        99:{2,3,6,7}:{(77,1),(78,1),(83,1),(108,1),(112,1),(115,1),(116,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(114,1),(116,1)}
       101:{1,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(117,1),(118,1)}
       102:{1,4,6,7}:{(82,1),(83,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(117,1)}
       104:{1,2,5}:{(86,1),(91,1)}
       105:{1,2,4,7}:{(86,1),(87,1),(92,1),(119,1)}
       106:{1,4,5}:{(88,1),(91,1),(97,1)}
       107:{1,4,7}:{(88,1),(89,1),(98,1)}
       108:{1,3,6,7}:{(89,1),(90,1),(99,1),(121,1),(122,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(120,1),(122,1)}
       110:{3,4,5}:{(93,1),(97,1)}
       111:{3,4,7}:{(93,1),(94,1),(98,1)}
       112:{3,6,7}:{(94,1),(95,1)}
       113:{2,5,6,7}:{(95,1),(96,1),(125,1),(127,1)}
       114:{2,4,5,7}:{(97,1),(98,1),(100,1),(101,1),(120,1),(123,1),(126,1),(127,1)}
       115:{2,4,6,7}:{(98,1),(99,1),(102,1),(121,1),(124,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(126,1)}
       117:{1,4,6}:{(101,1),(103,1),(126,1),(128,1)}
       118:{1,5,7}:{(102,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(130,1),(131,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(130,1)}
       123:{3,4,5,7}:{(110,1),(111,1),(114,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{3,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6}:{(114,1),(116,1),(117,1),(130,1),(132,1),(135,1)}
       127:{2,5,7}:{(115,1),(118,1),(131,1),(133,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,4,6}:{(120,1),(122,1),(126,1),(136,1)}
       131:{1,5,7}:{(121,1),(127,1),(136,1)}
       132:{3,4,6}:{(123,1),(126,1),(137,1)}
       133:{3,5,7}:{(124,1),(127,1),(137,1),(138,1)}
       134:{4,6,7}:{(125,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1615 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,2,3,7}:{(3,1),(10,1)}
        7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
        8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1),(14,1)}
        9:{1,2,5,6}:{(5,1),(13,1),(15,1)}
       10:{1,2,4,7}:{(5,1),(6,1),(14,1),(15,1)}
       11:{1,3,4,5}:{(7,1),(17,1),(18,1)}
       12:{2,3,4,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       13:{1,3,5,6}:{(8,1),(9,1),(19,1),(21,1),(22,1)}
       14:{1,3,4,7}:{(8,1),(10,1),(20,1),(22,1)}
       15:{1,2,5,7}:{(9,1),(10,1),(22,1),(23,1)}
       16:{1,2,3,4}:{(24,1)}
       17:{1,2,4,5}:{(11,1),(24,1),(25,1)}
       18:{1,3,4,6}:{(11,1),(12,1),(25,1),(26,1),(27,1)}
       19:{2,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1)}
       20:{2,3,4,7}:{(12,1),(14,1),(27,1),(29,1)}
       21:{1,4,5,6}:{(13,1),(28,1),(30,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(15,1),(29,1),(30,1),(31,1)}
       23:{1,2,6,7}:{(15,1),(31,1)}
       24:{1,2,3,5}:{(16,1),(17,1),(32,1)}
       25:{1,2,4,6}:{(17,1),(18,1),(32,1),(33,1),(34,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(33,1),(35,1),(36,1)}
       27:{1,3,4,7}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,5,6}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
       29:{2,3,5,7}:{(19,1),(20,1),(22,1),(36,1),(38,1),(39,1)}
       30:{1,4,5,7}:{(21,1),(22,1),(38,1),(40,1)}
       31:{1,3,6,7}:{(22,1),(23,1),(39,1),(40,1)}
       32:{1,2,3,6}:{(24,1),(25,1),(41,1)}
       33:{1,2,5,6}:{(25,1),(26,1),(42,1)}
       34:{1,2,4,7}:{(25,1),(27,1),(41,1),(42,1)}
       35:{1,4,5,6}:{(26,1),(28,1),(43,1)}
       36:{1,3,5,7}:{(26,1),(27,1),(29,1),(42,1),(43,1),(44,1)}
       37:{3,4,5,6}:{(28,1),(45,1)}
       38:{2,4,5,7}:{(28,1),(29,1),(30,1),(43,1),(45,1),(46,1)}
       39:{2,3,6,7}:{(29,1),(31,1),(44,1),(46,1)}
       40:{1,4,6,7}:{(30,1),(31,1),(46,1),(47,1)}
       41:{1,2,3,7}:{(32,1),(34,1)}
       42:{1,2,5,7}:{(33,1),(34,1),(36,1),(48,1)}
       43:{1,4,5,7}:{(35,1),(36,1),(38,1),(49,1)}
       44:{1,3,6,7}:{(36,1),(39,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(37,1),(38,1),(50,1)}
       46:{2,4,6,7}:{(38,1),(39,1),(40,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(40,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1616 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(25,1),(32,1),(33,1),(159,1),(217,1),(234,1),(338,1),(340,1),(427,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(40,1),(286,1),(388,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(43,1),(205,1),(269,1),(372,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(28,1),(427,1),(429,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(32,1),(217,1),(235,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(65,1),(416,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(32,1),(69,1),(256,1),(322,1),(338,1),(440,1)}
         7:{1,2,4,5,6}:{(3,1),(13,1),(14,1),(18,1),(40,1),(60,1),(109,1),(110,1),(120,1),(169,1),(290,1),(293,1),(388,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(48,1),(58,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(40,1),(52,1),(170,1),(187,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(269,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(96,1),(385,1),(399,1),(400,1)}
        13:{1,3,5,6}:{(7,1),(8,1),(24,1),(25,1),(26,1),(32,1),(217,1),(344,1)}
        14:{1,2,4,5,7}:{(7,1),(26,1),(27,1),(65,1),(89,1),(134,1),(135,1),(161,1),(218,1),(323,1),(327,1),(416,1)}
        15:{1,3,4,5}:{(8,1),(24,1),(28,1),(429,1),(432,1)}
        16:{2,3,5}:{(8,1),(10,1),(28,1),(30,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(9,1),(32,1),(33,1),(75,1),(81,1)}
        19:{1,3,4,6}:{(10,1),(30,1),(34,1),(35,1),(64,1),(79,1),(131,1),(146,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(31,1),(35,1),(65,1),(220,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(32,1),(36,1),(37,1),(81,1),(322,1),(336,1),(339,1),(352,1),(353,1),(416,1)}
        22:{1,2,5,7}:{(12,1),(33,1),(37,1),(134,1),(427,1)}
        23:{1,3,4,5,6}:{(24,1),(38,1),(39,1),(76,1),(86,1),(164,1),(241,1),(242,1),(344,1),(364,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(40,1),(41,1),(388,1),(391,1)}
        25:{2,3,5,6}:{(13,1),(16,1),(40,1),(42,1),(43,1),(52,1),(109,1),(120,1),(170,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(41,1),(43,1),(44,1),(269,1),(377,1)}
        27:{1,2,4,6,7}:{(14,1),(18,1),(44,1),(45,1),(96,1),(102,1),(125,1),(208,1),(312,1)}
        28:{2,4,5}:{(15,1),(16,1),(40,1),(47,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(41,1),(48,1),(49,1),(58,1),(97,1),(119,1)}
        30:{1,3,5}:{(16,1),(19,1),(47,1),(50,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(20,1),(48,1),(51,1),(52,1)}
        32:{1,3,6}:{(17,1),(18,1),(52,1)}
        33:{1,2,5,6}:{(18,1),(22,1),(53,1),(109,1),(399,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(54,1),(55,1),(111,1),(113,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(51,1),(55,1),(95,1),(175,1)}
        36:{2,3,4,6,7}:{(20,1),(21,1),(52,1),(56,1),(57,1),(96,1),(115,1),(184,1),(273,1),(285,1),(291,1),(301,1),(303,1),(376,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(53,1),(57,1),(58,1),(383,1),(387,1)}
        38:{2,4,5,6}:{(23,1),(40,1),(59,1),(60,1),(61,1),(109,1),(120,1),(206,1),(405,1)}
        39:{1,3,4,5,7}:{(23,1),(41,1),(61,1),(62,1),(97,1),(121,1),(212,1),(275,1),(276,1),(315,1),(377,1)}
        40:{2,4,6}:{(24,1),(25,1),(28,1),(64,1),(65,1)}
        41:{1,3,4,7}:{(24,1),(26,1),(65,1),(416,1),(420,1)}
        42:{1,3,5,6}:{(25,1),(30,1),(64,1),(67,1),(68,1),(79,1),(131,1),(149,1)}
        43:{2,3,5,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(134,1),(161,1),(220,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(32,1),(69,1),(362,1)}
        45:{1,2,5,6,7}:{(27,1),(33,1),(70,1),(134,1),(167,1),(260,1),(323,1),(426,1)}
        46:{2,3,4,5}:{(28,1),(63,1),(71,1),(142,1),(257,1),(432,1)}
        47:{1,4,5}:{(28,1),(30,1),(64,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(31,1),(65,1),(74,1),(75,1),(134,1)}
        49:{1,3,4,6}:{(29,1),(32,1),(75,1),(76,1),(81,1),(155,1)}
        50:{1,2,5}:{(30,1),(34,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(35,1),(74,1),(78,1),(79,1)}
        52:{2,3,6}:{(31,1),(32,1),(75,1),(79,1)}
        53:{1,3,5,6}:{(32,1),(33,1),(37,1),(80,1),(81,1),(349,1),(352,1)}
        54:{1,2,3,6}:{(34,1),(77,1),(82,1),(131,1)}
        55:{1,2,4,7}:{(34,1),(35,1),(78,1),(82,1)}
        56:{1,3,4,6,7}:{(35,1),(36,1),(79,1),(83,1),(84,1),(133,1),(154,1),(226,1),(243,1),(249,1),(251,1),(331,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(80,1),(84,1),(85,1),(134,1),(229,1),(333,1),(342,1)}
        58:{1,4,5,7}:{(37,1),(81,1),(85,1),(416,1),(429,1)}
        59:{2,3,5,6}:{(38,1),(63,1),(86,1),(87,1),(344,1)}
        60:{1,4,5,6}:{(38,1),(64,1),(86,1),(89,1),(149,1),(254,1),(441,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(65,1),(87,1),(89,1),(90,1),(134,1),(161,1),(258,1),(360,1)}
        62:{1,3,4,6,7}:{(39,1),(90,1),(91,1),(162,1),(261,1),(262,1),(362,1)}
        63:{2,3,4,6}:{(40,1),(46,1),(59,1),(92,1),(93,1),(170,1),(206,1),(391,1)}
        64:{1,4,6}:{(40,1),(42,1),(47,1),(95,1)}
        65:{2,4,7}:{(40,1),(41,1),(43,1),(95,1)}
        66:{1,3,4,6,7}:{(41,1),(44,1),(49,1),(96,1),(97,1),(102,1),(184,1)}
        67:{1,2,5,6}:{(42,1),(50,1),(94,1),(99,1),(113,1),(120,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(95,1),(99,1),(100,1),(175,1),(177,1)}
        69:{2,3,6,7}:{(43,1),(44,1),(52,1),(96,1),(100,1),(208,1)}
        70:{1,3,5,6,7}:{(44,1),(45,1),(53,1),(97,1),(101,1),(102,1),(372,1),(383,1),(384,1)}
        71:{1,3,4,5}:{(46,1),(47,1),(92,1),(103,1),(106,1),(185,1),(305,1)}
        72:{2,3,4,5,7}:{(46,1),(48,1),(93,1),(104,1),(105,1),(119,1),(173,1),(188,1),(203,1),(309,1),(376,1),(390,1),(456,1),(457,1),(466,1),(508,1)}
        73:{1,2,4,5}:{(47,1),(50,1),(94,1),(103,1),(106,1),(111,1)}
        74:{1,4,5,7}:{(47,1),(48,1),(51,1),(95,1),(108,1),(177,1)}
        75:{2,4,6}:{(48,1),(49,1),(52,1),(108,1),(109,1)}
        76:{1,3,5,6}:{(49,1),(97,1),(109,1),(110,1),(196,1)}
        77:{1,2,3,5}:{(50,1),(54,1),(106,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(55,1),(113,1)}
        79:{1,3,6}:{(51,1),(52,1),(108,1),(113,1)}
        80:{2,3,5,6}:{(52,1),(53,1),(57,1),(109,1),(114,1),(115,1),(196,1),(298,1),(301,1)}
        81:{1,4,6}:{(53,1),(58,1),(115,1)}
        82:{1,2,3,7}:{(54,1),(55,1),(175,1)}
        83:{1,2,4,6,7}:{(55,1),(56,1),(113,1),(116,1),(117,1),(197,1),(199,1),(201,1),(285,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(114,1),(117,1),(118,1),(177,1),(295,1)}
        85:{2,4,5,7}:{(57,1),(58,1),(115,1),(118,1),(119,1),(376,1),(390,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(92,1),(120,1),(121,1)}
        87:{2,3,5,7}:{(59,1),(61,1),(93,1),(121,1),(122,1),(377,1)}
        88:{1,2,4,5,6}:{(60,1),(94,1),(120,1),(123,1),(124,1),(179,1),(194,1),(206,1),(282,1),(293,1),(296,1),(405,1),(410,1)}
        89:{1,4,5,7}:{(60,1),(61,1),(95,1),(121,1),(125,1),(177,1),(306,1),(402,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(122,1),(125,1),(126,1),(208,1)}
        91:{1,3,5,6,7}:{(62,1),(97,1),(126,1),(127,1),(216,1),(315,1)}
        92:{1,3,4,6}:{(63,1),(64,1),(71,1),(86,1),(128,1),(129,1),(131,1),(217,1),(254,1)}
        93:{2,3,4,7}:{(63,1),(65,1),(87,1),(129,1),(220,1),(258,1),(420,1)}
        94:{1,2,4,6}:{(64,1),(67,1),(73,1),(128,1),(131,1),(132,1)}
        95:{1,4,7}:{(64,1),(65,1),(68,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(69,1),(75,1),(133,1),(134,1)}
        97:{1,3,5,7}:{(66,1),(76,1),(134,1),(135,1),(229,1)}
        98:{1,2,3,5,6}:{(67,1),(77,1),(131,1),(136,1),(137,1),(152,1),(160,1),(224,1),(244,1),(247,1),(329,1),(334,1)}
        99:{1,2,5,7}:{(67,1),(68,1),(132,1),(138,1),(161,1)}
       100:{1,3,6,7}:{(68,1),(69,1),(79,1),(133,1),(138,1)}
       101:{2,3,5,6,7}:{(69,1),(70,1),(80,1),(134,1),(139,1),(140,1),(229,1),(260,1),(326,1),(333,1),(335,1),(362,1)}
       102:{1,4,6,7}:{(70,1),(81,1),(135,1),(140,1),(416,1)}
       103:{2,4,5}:{(71,1),(128,1),(142,1)}
       104:{1,3,4,5,7}:{(71,1),(72,1),(74,1),(129,1),(143,1),(144,1),(147,1),(222,1),(236,1),(253,1),(331,1),(346,1),(355,1),(416,1),(420,1),(429,1),(432,1),(487,1),(495,1),(527,1)}
       105:{2,3,4,6}:{(72,1),(75,1),(144,1),(145,1),(155,1),(239,1),(250,1),(343,1),(359,1),(486,1),(526,1)}
       106:{1,3,5}:{(73,1),(131,1),(142,1),(146,1)}
       107:{1,2,4,5,7}:{(73,1),(74,1),(78,1),(132,1),(143,1),(147,1),(148,1),(151,1),(227,1),(247,1),(331,1),(346,1),(527,1),(528,1),(532,1),(547,1)}
       108:{1,4,6}:{(74,1),(75,1),(79,1),(149,1)}
       109:{2,5,6}:{(75,1),(76,1),(134,1),(149,1)}
       110:{1,4,5,6}:{(76,1),(81,1),(135,1),(150,1),(349,1)}
       111:{1,2,4}:{(77,1),(146,1)}
       112:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(147,1),(151,1),(152,1),(247,1),(547,1),(548,1),(549,1)}
       113:{1,2,6}:{(78,1),(79,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(84,1),(149,1),(153,1),(154,1),(249,1)}
       115:{2,4,6}:{(80,1),(81,1),(85,1),(154,1),(155,1)}
       116:{1,2,3,6,7}:{(82,1),(83,1),(152,1),(156,1),(226,1),(249,1),(335,1),(503,1)}
       117:{1,2,5,7}:{(83,1),(84,1),(153,1),(247,1),(333,1)}
       118:{1,4,5,7}:{(84,1),(85,1),(154,1),(331,1),(346,1)}
       119:{3,4,5,7}:{(85,1),(155,1),(229,1),(420,1),(432,1)}
       120:{2,5,6}:{(86,1),(128,1),(161,1)}
       121:{1,3,5,7}:{(86,1),(87,1),(89,1),(129,1),(161,1),(162,1)}
       122:{2,3,6,7}:{(87,1),(90,1),(162,1),(362,1)}
       123:{1,3,5,6}:{(88,1),(131,1),(160,1),(164,1),(165,1),(224,1),(329,1),(344,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(132,1),(161,1),(165,1),(166,1),(227,1),(258,1),(327,1),(331,1),(360,1),(365,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(162,1),(167,1)}
       126:{2,5,6,7}:{(90,1),(91,1),(134,1),(167,1),(360,1)}
       127:{1,4,5,6,7}:{(91,1),(135,1),(168,1),(261,1),(365,1),(366,1)}
       128:{2,4,6}:{(92,1),(103,1),(120,1),(170,1),(171,1)}
       129:{1,3,4,7}:{(92,1),(93,1),(95,1),(121,1),(171,1),(175,1),(269,1),(306,1)}
       130:{2,3,4,6,7}:{(93,1),(96,1),(105,1),(122,1),(172,1),(173,1),(184,1),(210,1),(273,1),(285,1),(310,1),(376,1),(407,1),(408,1),(457,1),(475,1)}
       131:{1,3,6}:{(94,1),(106,1),(170,1),(175,1)}
       132:{1,2,4,7}:{(94,1),(95,1),(99,1),(171,1),(175,1)}
       133:{1,4,6,7}:{(95,1),(96,1),(100,1),(108,1),(177,1)}
       134:{2,5,7}:{(96,1),(97,1),(109,1),(177,1)}
       135:{1,4,5,7}:{(97,1),(102,1),(110,1),(178,1),(383,1)}
       136:{1,2,4,6}:{(98,1),(111,1),(174,1),(179,1),(180,1),(206,1),(296,1)}
       137:{1,2,3,5,7}:{(98,1),(99,1),(175,1),(180,1),(181,1),(207,1),(277,1),(279,1),(283,1)}
       138:{1,2,6,7}:{(99,1),(100,1),(113,1),(208,1)}
       139:{1,3,5,6,7}:{(100,1),(101,1),(114,1),(177,1),(182,1),(183,1),(279,1),(281,1),(284,1)}
       140:{2,4,6,7}:{(101,1),(102,1),(115,1),(178,1),(183,1),(184,1),(376,1)}
       141:{1,2,4,5}:{(103,1),(169,1),(185,1),(286,1),(305,1),(367,1)}
       142:{2,3,5}:{(103,1),(106,1),(170,1),(185,1),(187,1)}
       143:{2,4,5,7}:{(103,1),(104,1),(171,1),(188,1),(189,1),(274,1),(376,1),(390,1),(511,1),(517,1)}
       144:{1,3,4,6}:{(104,1),(105,1),(108,1),(189,1),(190,1),(193,1),(289,1),(296,1),(302,1),(388,1),(391,1),(401,1),(540,1)}
       145:{2,3,5,6}:{(105,1),(109,1),(173,1),(190,1),(191,1),(196,1),(298,1),(405,1),(477,1),(521,1)}
       146:{1,3,4}:{(106,1),(111,1),(187,1)}
       147:{1,3,5,7}:{(106,1),(107,1),(175,1),(188,1),(192,1),(193,1),(295,1),(541,1),(544,1)}
       148:{1,2,4,6}:{(107,1),(108,1),(113,1),(189,1),(193,1),(194,1),(296,1),(540,1),(551,1)}
       149:{1,5,6}:{(108,1),(109,1),(177,1)}
       150:{2,4,5,6}:{(109,1),(110,1),(115,1),(178,1),(195,1),(196,1),(298,1)}
       151:{1,2,4,7}:{(111,1),(112,1),(192,1),(197,1),(552,1)}
       152:{1,2,3,6}:{(112,1),(113,1),(193,1),(197,1),(551,1)}
       153:{1,2,5,6}:{(113,1),(114,1),(117,1),(199,1),(298,1)}
       154:{1,4,6}:{(114,1),(115,1),(118,1)}
       155:{3,4,6}:{(115,1),(119,1),(196,1)}
       156:{1,2,3,5,7}:{(116,1),(117,1),(198,1),(201,1),(202,1),(279,1),(382,1),(510,1),(541,1)}
       157:{1,2,4,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(203,1),(299,1)}
       158:{1,3,4,5,7}:{(118,1),(119,1),(200,1),(202,1),(203,1),(281,1),(381,1),(394,1)}
       159:{1,2,5,6}:{(120,1),(169,1),(204,1),(205,1),(367,1),(448,1)}
       160:{2,3,5,6}:{(120,1),(123,1),(170,1),(204,1),(206,1),(207,1),(271,1),(374,1),(405,1)}
       161:{2,5,7}:{(120,1),(121,1),(171,1),(208,1)}
       162:{1,3,6,7}:{(121,1),(122,1),(125,1),(208,1)}
       163:{2,3,5,6,7}:{(122,1),(126,1),(173,1),(209,1),(210,1),(216,1),(317,1),(408,1)}
       164:{1,3,4,6}:{(123,1),(206,1),(211,1),(212,1),(296,1),(391,1)}
       165:{1,3,5,7}:{(123,1),(124,1),(175,1),(207,1),(212,1),(213,1),(377,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(208,1),(213,1),(214,1),(282,1),(310,1),(312,1),(316,1)}
       167:{1,5,6,7}:{(125,1),(126,1),(177,1),(402,1)}
       168:{2,4,5,6,7}:{(126,1),(127,1),(178,1),(210,1),(215,1),(216,1),(312,1),(317,1),(406,1)}
       169:{1,2,4,6}:{(128,1),(141,1),(159,1),(217,1),(218,1),(254,1)}
       170:{2,3,6}:{(128,1),(131,1),(142,1),(217,1),(220,1)}
       171:{2,4,7}:{(128,1),(129,1),(161,1),(220,1)}
       172:{1,3,4,6,7}:{(129,1),(130,1),(133,1),(144,1),(162,1),(221,1),(222,1),(226,1),(261,1),(322,1),(331,1),(336,1),(356,1),(362,1),(416,1),(420,1),(447,1),(487,1),(502,1)}
       173:{2,3,5,7}:{(130,1),(134,1),(145,1),(222,1),(223,1),(229,1),(333,1),(360,1),(446,1),(501,1)}
       174:{1,3,4,6}:{(131,1),(136,1),(146,1),(219,1),(224,1),(225,1),(329,1)}
       175:{1,3,7}:{(131,1),(132,1),(220,1)}
       176:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(148,1),(221,1),(226,1),(227,1),(331,1),(502,1),(503,1),(528,1)}
       177:{1,5,7}:{(133,1),(134,1),(149,1)}
       178:{2,4,5,7}:{(134,1),(135,1),(140,1),(150,1),(228,1),(229,1),(333,1)}
       179:{1,2,4,5}:{(136,1),(224,1),(247,1),(257,1),(346,1)}
       180:{1,2,4,7}:{(136,1),(137,1),(225,1),(258,1),(331,1)}
       181:{1,2,3,6,7}:{(137,1),(138,1),(152,1),(226,1),(231,1),(259,1),(329,1),(548,1)}
       182:{1,2,5,6,7}:{(138,1),(139,1),(153,1),(227,1),(232,1),(260,1),(333,1),(366,1)}
       183:{1,4,6,7}:{(139,1),(140,1),(154,1),(228,1),(331,1)}
       184:{3,4,6,7}:{(140,1),(155,1),(229,1),(362,1),(420,1)}
       185:{1,3,5}:{(141,1),(142,1),(217,1),(235,1)}
       186:{1,2,4,5,7}:{(141,1),(143,1),(218,1),(236,1),(237,1),(253,1),(323,1),(337,1),(354,1),(355,1),(411,1),(416,1),(427,1),(429,1),(489,1),(497,1)}
       187:{2,3,4}:{(142,1),(146,1),(235,1)}
       188:{2,3,5,7}:{(142,1),(143,1),(147,1),(220,1),(236,1),(238,1),(239,1),(342,1),(529,1),(534,1)}
       189:{2,4,6}:{(143,1),(144,1),(239,1),(240,1)}
       190:{1,3,5,6}:{(144,1),(145,1),(149,1),(222,1),(240,1),(241,1),(344,1),(349,1),(441,1),(536,1)}
       191:{2,4,5,6}:{(145,1),(223,1),(241,1),(242,1),(343,1)}
       192:{1,3,4,7}:{(146,1),(147,1),(151,1),(238,1),(243,1),(331,1),(550,1)}
       193:{1,3,6}:{(147,1),(148,1),(239,1)}
       194:{1,2,5,6}:{(148,1),(149,1),(227,1),(240,1),(244,1),(247,1),(536,1)}
       195:{1,4,5,6}:{(149,1),(150,1),(154,1),(228,1),(246,1)}
       196:{3,5,6}:{(150,1),(155,1),(229,1)}
       197:{1,2,4,6}:{(151,1),(152,1),(243,1),(247,1)}
       198:{1,2,3,5,6}:{(152,1),(153,1),(156,1),(244,1),(247,1),(248,1),(249,1),(348,1),(350,1),(494,1),(533,1),(549,1)}
       199:{1,2,4,6}:{(153,1),(154,1),(157,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(158,1),(246,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(156,1),(248,1),(251,1),(331,1),(424,1)}
       202:{1,3,5,7}:{(157,1),(249,1),(251,1),(252,1),(350,1)}
       203:{2,4,5,7}:{(158,1),(250,1),(252,1),(253,1),(333,1),(424,1),(435,1)}
       204:{1,3,5,6}:{(159,1),(160,1),(217,1),(254,1),(255,1),(320,1),(414,1),(441,1)}
       205:{1,2,5,7}:{(159,1),(161,1),(218,1),(255,1),(256,1)}
       206:{2,4,6}:{(160,1),(164,1),(254,1),(257,1),(258,1)}
       207:{2,3,5,7}:{(160,1),(161,1),(165,1),(220,1),(255,1),(258,1),(259,1),(360,1)}
       208:{2,6,7}:{(161,1),(162,1)}
       209:{1,3,5,6,7}:{(162,1),(163,1),(167,1),(222,1),(260,1),(261,1),(362,1),(366,1),(447,1)}
       210:{2,4,6,7}:{(163,1),(223,1),(261,1),(262,1)}
       211:{1,3,4,5}:{(164,1),(224,1),(257,1),(346,1),(432,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(258,1),(331,1),(420,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(259,1),(329,1),(362,1)}
       214:{1,2,5,6,7}:{(166,1),(167,1),(227,1),(260,1),(265,1),(334,1),(360,1),(503,1)}
       215:{1,4,5,6,7}:{(167,1),(168,1),(228,1),(261,1),(266,1),(442,1)}
       216:{3,5,6,7}:{(168,1),(229,1),(262,1),(362,1),(446,1)}
       217:{1,3,6}:{(169,1),(170,1),(185,1),(269,1)}
       218:{1,2,4,7}:{(169,1),(171,1),(205,1),(269,1),(306,1)}
       219:{2,3,4,6}:{(170,1),(174,1),(187,1),(206,1),(268,1),(271,1),(272,1),(374,1)}
       220:{2,3,7}:{(170,1),(171,1),(175,1),(269,1)}
       221:{2,4,6,7}:{(171,1),(172,1),(189,1),(208,1),(273,1),(274,1),(376,1),(478,1),(511,1)}
       222:{1,3,5,7}:{(172,1),(173,1),(177,1),(190,1),(274,1),(275,1),(377,1),(383,1),(402,1),(522,1)}
       223:{2,4,5,7}:{(173,1),(191,1),(210,1),(275,1),(276,1),(376,1)}
       224:{1,3,5}:{(174,1),(179,1),(271,1)}
       225:{1,3,4,7}:{(174,1),(175,1),(180,1),(272,1),(277,1)}
       226:{1,3,6,7}:{(175,1),(176,1),(193,1),(273,1),(279,1),(541,1)}
       227:{1,2,5,7}:{(176,1),(177,1),(194,1),(274,1),(279,1),(522,1)}
       228:{1,4,5,7}:{(177,1),(178,1),(183,1),(195,1),(281,1)}
       229:{3,5,7}:{(178,1),(184,1),(196,1)}
       230:{1,2,4,5,7}:{(179,1),(180,1),(277,1),(282,1),(283,1),(309,1),(380,1)}
       231:{1,2,4,6,7}:{(180,1),(181,1),(197,1),(278,1),(282,1),(283,1),(310,1),(539,1),(551,1)}
       232:{1,2,4,6,7}:{(182,1),(183,1),(199,1),(280,1),(284,1),(285,1),(312,1),(409,1),(478,1)}
       233:{1,3,4,6,7}:{(183,1),(184,1),(200,1),(281,1),(284,1),(285,1),(381,1)}
       234:{1,2,3,5}:{(185,1),(267,1),(286,1),(367,1)}
       235:{1,3,4}:{(185,1),(187,1),(286,1)}
       236:{1,3,5,7}:{(185,1),(186,1),(188,1),(269,1),(288,1),(289,1),(387,1),(512,1),(519,1)}
       237:{1,2,4,6}:{(186,1),(189,1),(289,1),(290,1),(302,1),(388,1),(399,1),(401,1),(448,1)}
       238:{2,3,4,7}:{(187,1),(188,1),(192,1),(288,1),(291,1),(376,1),(545,1)}
       239:{2,3,6}:{(188,1),(189,1),(193,1),(289,1)}
       240:{2,5,6}:{(189,1),(190,1),(274,1)}
       241:{1,4,5,6}:{(190,1),(191,1),(275,1),(293,1),(296,1),(388,1)}
       242:{3,4,5,6}:{(191,1),(196,1),(276,1),(391,1),(477,1)}
       243:{1,3,4,6}:{(192,1),(193,1),(197,1),(291,1),(295,1),(296,1)}
       244:{1,3,5,6}:{(193,1),(194,1),(279,1),(292,1),(295,1),(296,1)}
       245:{1,2,4,5,6}:{(194,1),(195,1),(199,1),(280,1),(293,1),(296,1),(297,1),(298,1),(299,1),(393,1),(395,1),(468,1),(516,1)}
       246:{1,3,5,6}:{(195,1),(196,1),(200,1),(281,1),(298,1)}
       247:{1,2,5}:{(197,1),(295,1)}
       248:{1,2,4,6}:{(198,1),(201,1),(296,1),(299,1),(300,1),(395,1),(552,1)}
       249:{1,3,6}:{(199,1),(202,1),(301,1)}
       250:{2,4,6}:{(200,1),(203,1),(298,1),(301,1),(302,1)}
       251:{1,3,4,7}:{(201,1),(202,1),(300,1),(303,1),(541,1)}
       252:{2,3,5,7}:{(202,1),(203,1),(301,1),(303,1),(304,1),(397,1)}
       253:{1,4,5,7}:{(203,1),(302,1),(304,1),(383,1),(459,1),(469,1)}
       254:{1,4,6}:{(204,1),(206,1),(305,1),(306,1)}
       255:{1,3,5,7}:{(204,1),(205,1),(207,1),(269,1),(306,1),(307,1),(402,1)}
       256:{1,2,6,7}:{(205,1),(208,1),(307,1),(448,1)}
       257:{2,4,5}:{(206,1),(211,1),(271,1),(305,1)}
       258:{2,4,7}:{(206,1),(207,1),(212,1),(306,1)}
       259:{2,3,6,7}:{(207,1),(208,1),(213,1),(307,1),(310,1),(374,1)}
       260:{2,5,6,7}:{(208,1),(209,1),(274,1),(312,1),(478,1)}
       261:{1,4,6,7}:{(209,1),(210,1),(275,1),(312,1)}
       262:{3,4,6,7}:{(210,1),(216,1),(276,1)}
       263:{1,3,4,5,7}:{(211,1),(212,1),(277,1),(309,1),(314,1),(315,1),(380,1),(456,1)}
       264:{1,3,4,6,7}:{(212,1),(213,1),(310,1),(314,1),(315,1),(316,1),(407,1)}
       265:{1,3,5,6,7}:{(213,1),(214,1),(279,1),(311,1),(315,1),(316,1),(379,1),(476,1),(522,1)}
       266:{1,3,5,6,7}:{(215,1),(216,1),(281,1),(313,1),(317,1),(474,1)}
       267:{1,2,3,6}:{(217,1),(234,1),(318,1),(319,1)}
       268:{1,3,4,6}:{(217,1),(219,1),(235,1),(254,1),(318,1),(320,1),(321,1),(414,1)}
       269:{1,3,7}:{(217,1),(218,1),(220,1)}
       270:{1,2,4,6,7}:{(218,1),(221,1),(237,1),(256,1),(322,1),(323,1),(336,1),(356,1),(416,1),(426,1),(489,1)}
       271:{2,3,5}:{(219,1),(224,1),(257,1),(320,1)}
       272:{2,3,4,7}:{(219,1),(220,1),(225,1),(258,1),(321,1),(324,1)}
       273:{2,3,6,7}:{(220,1),(221,1),(226,1),(239,1),(322,1),(326,1),(362,1),(529,1)}
       274:{2,5,7}:{(221,1),(222,1),(240,1)}
       275:{1,4,5,7}:{(222,1),(223,1),(241,1),(261,1),(327,1),(331,1),(416,1)}
       276:{3,4,5,7}:{(223,1),(229,1),(242,1),(262,1),(420,1),(446,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(230,1),(324,1),(329,1)}
       278:{1,3,4,6,7}:{(225,1),(226,1),(231,1),(243,1),(325,1),(329,1),(330,1),(331,1),(423,1),(502,1),(525,1),(546,1)}
       279:{1,3,5,7}:{(226,1),(227,1),(244,1),(326,1),(331,1)}
       280:{1,2,4,5,7}:{(227,1),(228,1),(232,1),(245,1),(327,1),(331,1),(332,1),(333,1),(422,1),(424,1),(488,1),(528,1)}
       281:{1,3,5,7}:{(228,1),(229,1),(233,1),(246,1),(333,1)}
       282:{1,2,4,6}:{(230,1),(329,1),(334,1),(359,1),(423,1)}
       283:{1,2,5,7}:{(231,1),(247,1),(330,1),(334,1),(360,1)}
       284:{1,3,6,7}:{(232,1),(249,1),(332,1),(335,1),(362,1)}
       285:{2,4,6,7}:{(233,1),(250,1),(333,1),(335,1),(336,1),(424,1)}
       286:{1,2,4}:{(234,1),(235,1)}
       287:{1,2,3,5,7}:{(234,1),(236,1),(319,1),(337,1),(338,1),(354,1),(411,1),(427,1),(440,1),(499,1)}
       288:{1,3,4,7}:{(235,1),(236,1),(238,1),(337,1),(339,1),(416,1),(535,1)}
       289:{1,3,6}:{(236,1),(237,1),(239,1)}
       290:{1,2,5,6}:{(237,1),(240,1),(323,1),(340,1),(349,1),(427,1),(441,1)}
       291:{2,3,4,6}:{(238,1),(239,1),(243,1),(339,1),(342,1),(343,1)}
       292:{2,3,5,6}:{(239,1),(240,1),(244,1),(326,1),(340,1),(342,1),(343,1),(344,1)}
       293:{2,4,5,6}:{(240,1),(241,1),(327,1),(343,1),(344,1)}
       294:{1,3,4,5,6}:{(241,1),(242,1),(246,1),(328,1),(344,1),(345,1),(347,1),(430,1),(434,1),(500,1)}
       295:{1,3,5}:{(243,1),(247,1),(342,1),(346,1)}
       296:{1,4,6}:{(244,1),(331,1),(343,1),(346,1)}
       297:{1,3,5,6}:{(245,1),(249,1),(332,1),(344,1),(347,1),(348,1),(350,1),(533,1)}
       298:{2,5,6}:{(246,1),(250,1),(333,1),(349,1)}
       299:{1,2,4,5}:{(247,1),(248,1),(346,1),(350,1),(435,1)}
       300:{1,3,4,6}:{(248,1),(249,1),(251,1),(350,1),(351,1),(533,1),(550,1)}
       301:{2,3,6}:{(249,1),(250,1),(252,1),(352,1)}
       302:{1,4,6}:{(250,1),(253,1),(349,1),(352,1)}
       303:{2,3,4,7}:{(251,1),(252,1),(351,1),(353,1),(424,1),(529,1)}
       304:{1,3,5,7}:{(252,1),(253,1),(352,1),(353,1),(354,1),(438,1)}
       305:{1,4,5}:{(254,1),(257,1),(320,1)}
       306:{1,4,7}:{(254,1),(255,1),(258,1)}
       307:{1,3,6,7}:{(255,1),(256,1),(259,1),(356,1),(414,1)}
       308:{1,2,5,6,7}:{(256,1),(260,1),(323,1),(357,1),(358,1),(366,1),(479,1),(501,1)}
       309:{2,4,5,7}:{(257,1),(258,1),(263,1),(324,1),(355,1),(359,1),(360,1)}
       310:{2,4,6,7}:{(258,1),(259,1),(264,1),(356,1),(359,1),(360,1)}
       311:{2,3,5,6,7}:{(259,1),(260,1),(265,1),(326,1),(357,1),(360,1),(361,1),(362,1),(418,1),(444,1),(446,1),(501,1)}
       312:{2,4,6,7}:{(260,1),(261,1),(327,1),(362,1)}
       313:{1,3,4,6,7}:{(261,1),(262,1),(266,1),(328,1),(362,1),(363,1),(447,1)}
       314:{1,3,4,6}:{(263,1),(329,1),(359,1),(364,1),(423,1),(486,1)}
       315:{1,3,5,7}:{(264,1),(360,1),(364,1),(365,1),(446,1)}
       316:{1,4,6,7}:{(265,1),(331,1),(361,1),(365,1),(423,1)}
       317:{2,5,6,7}:{(266,1),(333,1),(363,1),(366,1),(501,1)}
       318:{1,2,4,6}:{(267,1),(268,1),(286,1),(367,1),(368,1),(448,1)}
       319:{1,2,3,7}:{(267,1),(269,1),(368,1)}
       320:{1,3,5}:{(268,1),(271,1),(305,1),(367,1)}
       321:{1,3,4,7}:{(268,1),(269,1),(272,1),(306,1),(368,1),(370,1)}
       322:{1,3,6,7}:{(269,1),(270,1),(273,1),(289,1),(372,1),(512,1)}
       323:{1,2,5,7}:{(270,1),(274,1),(290,1),(372,1),(383,1),(402,1)}
       324:{2,3,5,7}:{(271,1),(272,1),(277,1),(309,1),(370,1),(374,1)}
       325:{2,3,4,6,7}:{(272,1),(273,1),(278,1),(291,1),(310,1),(371,1),(374,1),(375,1),(376,1),(407,1),(455,1),(475,1),(506,1),(537,1)}
       326:{2,3,5,7}:{(273,1),(274,1),(279,1),(292,1),(372,1),(376,1),(377,1)}
       327:{2,4,5,7}:{(274,1),(275,1),(293,1),(312,1),(376,1),(377,1)}
       328:{1,3,4,5,7}:{(275,1),(276,1),(281,1),(294,1),(313,1),(377,1),(378,1),(381,1),(453,1),(458,1),(474,1)}
       329:{1,3,6}:{(277,1),(282,1),(374,1)}
       330:{1,3,5,7}:{(278,1),(283,1),(295,1),(375,1),(379,1),(380,1),(522,1)}
       331:{1,4,7}:{(279,1),(296,1),(376,1)}
       332:{1,3,5,7}:{(280,1),(284,1),(297,1),(377,1),(381,1),(382,1),(541,1)}
       333:{2,5,7}:{(281,1),(285,1),(298,1),(383,1)}
       334:{1,2,5,6}:{(282,1),(283,1),(379,1),(405,1),(551,1)}
       335:{2,3,6,7}:{(284,1),(285,1),(301,1),(382,1),(384,1),(478,1)}
       336:{1,4,6,7}:{(285,1),(302,1),(383,1),(384,1),(459,1)}
       337:{1,2,4,7}:{(286,1),(287,1),(288,1),(385,1),(520,1)}
       338:{1,2,3,6}:{(287,1),(289,1),(385,1),(399,1),(448,1)}
       339:{1,3,4,6}:{(288,1),(289,1),(291,1),(385,1),(387,1),(388,1)}
       340:{1,3,5,6}:{(289,1),(290,1),(292,1),(372,1),(387,1),(388,1)}
       341:{1,2,4,5,6}:{(290,1),(293,1),(373,1),(388,1),(389,1),(393,1),(461,1),(464,1),(468,1),(470,1),(473,1),(504,1),(521,1)}
       342:{2,3,5}:{(291,1),(295,1),(387,1),(390,1)}
       343:{2,4,6}:{(292,1),(296,1),(376,1),(388,1),(390,1),(391,1)}
       344:{3,5,6}:{(293,1),(377,1),(391,1)}
       345:{2,4,5,6}:{(294,1),(298,1),(378,1),(392,1),(393,1),(395,1),(464,1),(468,1),(521,1)}
       346:{1,4,5}:{(295,1),(296,1),(390,1)}
       347:{1,3,4,6}:{(296,1),(297,1),(381,1),(391,1),(394,1),(395,1)}
       348:{2,3,5,6}:{(297,1),(298,1),(301,1),(382,1),(395,1),(396,1),(397,1),(468,1),(518,1)}
       349:{1,5,6}:{(298,1),(302,1),(383,1)}
       350:{1,3,5}:{(299,1),(300,1),(397,1)}
       351:{2,3,4,6}:{(300,1),(301,1),(303,1),(395,1),(397,1),(398,1),(518,1),(545,1)}
       352:{1,3,6}:{(301,1),(302,1),(304,1),(399,1)}
       353:{1,3,4,7}:{(303,1),(304,1),(398,1),(400,1),(459,1),(512,1)}
       354:{1,2,5,7}:{(304,1),(399,1),(400,1),(471,1)}
       355:{1,4,5,7}:{(305,1),(306,1),(309,1),(370,1),(401,1),(402,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(310,1),(401,1),(402,1)}
       357:{1,3,5,6,7}:{(307,1),(308,1),(311,1),(372,1),(402,1),(403,1),(404,1),(451,1),(474,1)}
       358:{1,2,4,6,7}:{(308,1),(312,1),(373,1),(403,1),(404,1),(409,1),(475,1),(478,1),(504,1)}
       359:{2,4,6}:{(309,1),(314,1),(374,1),(401,1),(405,1)}
       360:{2,5,7}:{(310,1),(315,1),(402,1),(405,1)}
       361:{2,4,6,7}:{(311,1),(316,1),(376,1),(403,1),(406,1),(407,1),(455,1)}
       362:{3,6,7}:{(312,1),(377,1)}
       363:{2,4,6,7}:{(313,1),(317,1),(378,1),(408,1),(409,1),(478,1)}
       364:{1,3,5,6}:{(314,1),(315,1),(405,1),(410,1),(477,1)}
       365:{1,4,5,7}:{(315,1),(316,1),(406,1),(410,1),(522,1)}
       366:{1,5,6,7}:{(317,1),(383,1),(409,1),(522,1)}
       367:{1,2,5}:{(318,1),(320,1)}
       368:{1,2,4,7}:{(318,1),(319,1),(321,1),(411,1)}
       369:{1,2,3,6,7}:{(319,1),(322,1),(338,1),(412,1),(413,1),(426,1),(444,1),(523,1)}
       370:{1,3,5,7}:{(320,1),(321,1),(324,1),(355,1),(411,1),(414,1)}
       371:{1,3,4,6,7}:{(321,1),(322,1),(325,1),(339,1),(356,1),(412,1),(414,1),(415,1),(416,1),(481,1),(482,1),(523,1)}
       372:{1,3,5,7}:{(322,1),(323,1),(326,1),(340,1),(416,1)}
       373:{1,2,4,5,7}:{(323,1),(327,1),(341,1),(358,1),(416,1),(417,1),(422,1),(442,1),(484,1),(488,1),(489,1),(501,1)}
       374:{2,3,6}:{(324,1),(329,1),(359,1),(414,1)}
       375:{2,3,5,7}:{(325,1),(330,1),(342,1),(360,1),(415,1),(418,1),(419,1),(446,1),(501,1)}
       376:{2,4,7}:{(326,1),(331,1),(343,1),(416,1),(420,1)}
       377:{3,5,7}:{(327,1),(344,1),(362,1),(420,1)}
       378:{2,4,5,7}:{(328,1),(333,1),(345,1),(363,1),(421,1),(422,1),(424,1),(484,1),(488,1),(501,1)}
       379:{1,3,5,6}:{(329,1),(330,1),(334,1),(418,1),(423,1),(536,1),(546,1)}
       380:{1,4,5,7}:{(330,1),(331,1),(346,1),(419,1),(423,1)}
       381:{1,3,4,7}:{(331,1),(332,1),(347,1),(420,1),(424,1)}
       382:{2,3,5,7}:{(332,1),(333,1),(335,1),(348,1),(424,1),(425,1),(488,1),(529,1)}
       383:{1,5,7}:{(333,1),(336,1),(349,1)}
       384:{1,3,6,7}:{(335,1),(336,1),(352,1),(425,1),(426,1)}
       385:{1,2,4,6}:{(337,1),(338,1),(339,1),(427,1)}
       386:{1,2,3,5,6}:{(338,1),(340,1),(413,1),(427,1),(428,1),(431,1),(437,1),(479,1),(490,1),(498,1),(499,1),(523,1)}
       387:{1,3,5}:{(339,1),(342,1),(427,1),(429,1)}
       388:{1,4,6}:{(340,1),(343,1),(416,1),(429,1)}
       389:{1,3,5,6}:{(341,1),(344,1),(417,1),(430,1),(431,1),(490,1),(498,1),(523,1)}
       390:{2,4,5}:{(342,1),(343,1),(346,1),(429,1),(432,1)}
       391:{3,4,6}:{(343,1),(344,1),(420,1),(432,1)}
       392:{2,3,5,6}:{(344,1),(345,1),(421,1),(433,1),(434,1)}
       393:{1,4,5,6}:{(345,1),(349,1),(422,1),(434,1),(436,1),(493,1),(536,1)}
       394:{1,3,4,5}:{(346,1),(347,1),(350,1),(432,1),(435,1)}
       395:{2,4,6}:{(347,1),(348,1),(424,1),(435,1),(436,1)}
       396:{1,3,5,6}:{(348,1),(349,1),(352,1),(425,1),(436,1),(437,1),(438,1),(498,1)}
       397:{2,3,5}:{(350,1),(351,1),(435,1),(438,1)}
       398:{1,3,4,6}:{(351,1),(352,1),(353,1),(436,1),(438,1),(439,1),(498,1),(535,1)}
       399:{1,2,6}:{(352,1),(354,1)}
       400:{1,2,4,7}:{(353,1),(354,1),(439,1),(440,1)}
       401:{1,4,6}:{(355,1),(359,1),(414,1),(441,1)}
       402:{1,5,7}:{(356,1),(360,1),(441,1)}
       403:{1,4,6,7}:{(357,1),(361,1),(416,1),(442,1),(482,1)}
       404:{1,3,6,7}:{(358,1),(362,1),(417,1),(444,1),(523,1)}
       405:{2,5,6}:{(359,1),(360,1),(364,1),(441,1)}
       406:{2,4,5,7}:{(360,1),(361,1),(365,1),(442,1),(445,1),(446,1),(501,1)}
       407:{3,4,6,7}:{(361,1),(362,1),(420,1),(446,1),(486,1)}
       408:{2,3,6,7}:{(362,1),(363,1),(421,1),(447,1)}
       409:{1,4,6,7}:{(363,1),(366,1),(422,1),(447,1)}
       410:{1,4,5,6}:{(364,1),(365,1),(423,1),(445,1),(536,1)}
       411:{1,2,5,7}:{(367,1),(368,1),(370,1),(448,1)}
       412:{1,2,4,6,7}:{(368,1),(369,1),(371,1),(385,1),(448,1),(449,1),(450,1),(475,1),(504,1)}
       413:{1,2,3,5,7}:{(369,1),(372,1),(386,1),(449,1),(450,1),(454,1),(460,1),(505,1),(512,1)}
       414:{1,3,6}:{(370,1),(374,1),(401,1),(448,1)}
       415:{1,3,5,7}:{(371,1),(375,1),(387,1),(402,1),(449,1),(451,1),(452,1)}
       416:{1,4,7}:{(372,1),(376,1),(388,1)}
       417:{1,3,5,7}:{(373,1),(377,1),(389,1),(404,1),(453,1),(454,1),(512,1)}
       418:{2,3,5,6}:{(374,1),(375,1),(379,1),(405,1),(451,1),(455,1),(477,1),(521,1),(537,1)}
       419:{2,4,5,7}:{(375,1),(376,1),(380,1),(390,1),(452,1),(455,1),(456,1)}
       420:{3,4,7}:{(376,1),(377,1),(391,1)}
       421:{2,3,5,7}:{(377,1),(378,1),(392,1),(408,1),(457,1),(458,1)}
       422:{1,4,5,7}:{(378,1),(383,1),(393,1),(409,1),(458,1),(459,1),(509,1),(522,1)}
       423:{1,4,6}:{(379,1),(380,1),(455,1)}
       424:{2,4,7}:{(381,1),(382,1),(395,1),(459,1)}
       425:{1,3,5,7}:{(382,1),(383,1),(384,1),(396,1),(459,1),(460,1),(512,1)}
       426:{1,2,6,7}:{(384,1),(399,1),(460,1),(478,1)}
       427:{1,2,5}:{(385,1),(387,1)}
       428:{1,2,4,6}:{(386,1),(388,1),(450,1),(461,1),(462,1),(464,1),(520,1)}
       429:{1,4,5}:{(387,1),(388,1),(390,1)}
       430:{1,3,4,6}:{(388,1),(389,1),(391,1),(453,1),(463,1),(464,1)}
       431:{2,3,5,6}:{(389,1),(454,1),(464,1),(465,1),(468,1),(513,1),(518,1),(521,1),(537,1)}
       432:{3,4,5}:{(390,1),(391,1)}
       433:{2,3,4,6}:{(391,1),(392,1),(395,1),(457,1),(464,1),(466,1),(467,1),(518,1)}
       434:{1,3,5,6}:{(392,1),(393,1),(458,1),(467,1),(468,1)}
       435:{2,4,5}:{(394,1),(395,1),(397,1),(469,1)}
       436:{1,4,6}:{(395,1),(396,1),(459,1),(469,1)}
       437:{1,2,5,6}:{(396,1),(399,1),(460,1),(468,1),(470,1),(471,1)}
       438:{1,3,5}:{(397,1),(398,1),(469,1),(471,1)}
       439:{1,2,4,6}:{(398,1),(399,1),(400,1),(471,1),(472,1),(520,1)}
       440:{1,2,3,7}:{(400,1),(472,1),(512,1)}
       441:{1,5,6}:{(401,1),(402,1),(405,1)}
       442:{1,4,5,7}:{(402,1),(403,1),(406,1),(473,1),(474,1)}
       443:{1,3,4,6,7}:{(403,1),(404,1),(407,1),(453,1),(474,1),(475,1),(507,1)}
       444:{2,3,6,7}:{(404,1),(454,1),(475,1),(476,1),(478,1),(537,1)}
       445:{2,4,5,6}:{(405,1),(406,1),(410,1),(455,1),(473,1),(477,1),(521,1)}
       446:{3,5,7}:{(406,1),(407,1),(477,1)}
       447:{1,3,6,7}:{(408,1),(409,1),(458,1),(478,1)}
       448:{1,2,6}:{(411,1),(414,1)}
       449:{1,2,5,7}:{(412,1),(415,1),(427,1),(479,1),(501,1)}
       450:{1,2,4,7}:{(413,1),(416,1),(428,1),(481,1),(484,1)}
       451:{1,3,5,6}:{(414,1),(415,1),(418,1),(441,1),(479,1),(482,1),(523,1)}
       452:{1,4,5,7}:{(415,1),(416,1),(419,1),(429,1),(482,1)}
       453:{1,3,4,7}:{(416,1),(417,1),(420,1),(430,1),(484,1)}
       454:{2,3,5,7}:{(417,1),(431,1),(444,1),(484,1),(485,1),(488,1),(501,1),(529,1)}
       455:{2,4,6}:{(418,1),(419,1),(423,1),(482,1),(486,1)}
       456:{3,4,5,7}:{(419,1),(420,1),(432,1),(446,1),(486,1)}
       457:{2,3,4,7}:{(420,1),(421,1),(424,1),(433,1),(484,1),(487,1),(529,1)}
       458:{1,3,5,7}:{(421,1),(422,1),(434,1),(447,1),(487,1),(488,1)}
       459:{1,4,7}:{(424,1),(425,1),(436,1)}
       460:{1,2,5,7}:{(425,1),(426,1),(437,1),(488,1),(489,1)}
       461:{1,2,4,5}:{(427,1),(428,1),(429,1),(490,1),(492,1)}
       462:{1,3,4,6}:{(428,1),(481,1),(490,1),(491,1),(498,1),(523,1),(535,1)}
       463:{1,3,4,5}:{(429,1),(430,1),(432,1),(490,1),(492,1)}
       464:{2,4,6}:{(430,1),(431,1),(484,1),(492,1),(493,1)}
       465:{1,3,5,6}:{(431,1),(485,1),(493,1),(494,1),(530,1),(533,1),(536,1),(546,1)}
       466:{2,3,4,5}:{(432,1),(433,1),(435,1),(492,1),(495,1),(534,1)}
       467:{1,3,4,6}:{(433,1),(434,1),(436,1),(487,1),(493,1),(495,1),(496,1),(498,1),(533,1)}
       468:{2,5,6}:{(434,1),(488,1),(496,1)}
       469:{1,4,5}:{(435,1),(436,1),(438,1)}
       470:{1,2,4,6}:{(436,1),(437,1),(489,1),(496,1),(497,1),(498,1)}
       471:{1,2,5}:{(438,1),(439,1)}
       472:{1,2,3,6}:{(439,1),(440,1),(498,1),(499,1)}
       473:{1,4,5,6}:{(441,1),(442,1),(445,1),(482,1),(500,1)}
       474:{1,3,5,7}:{(442,1),(443,1),(446,1),(500,1),(501,1)}
       475:{2,4,6,7}:{(443,1),(444,1),(484,1),(501,1),(502,1),(526,1)}
       476:{1,3,6,7}:{(444,1),(485,1),(502,1),(503,1),(546,1)}
       477:{3,5,6}:{(445,1),(446,1),(486,1)}
       478:{2,6,7}:{(447,1),(488,1)}
       479:{1,2,5,6}:{(448,1),(449,1),(451,1),(504,1),(521,1)}
       480:{1,2,4,5,7}:{(449,1),(450,1),(452,1),(461,1),(504,1),(505,1),(508,1)}
       481:{1,3,4,7}:{(450,1),(462,1),(505,1),(506,1),(512,1)}
       482:{1,4,6}:{(451,1),(452,1),(455,1)}
       483:{1,3,4,5,7}:{(452,1),(453,1),(456,1),(463,1),(474,1),(505,1),(507,1),(508,1)}
       484:{2,4,7}:{(453,1),(454,1),(464,1),(509,1)}
       485:{1,3,5,7}:{(454,1),(465,1),(476,1),(509,1),(510,1),(522,1),(541,1)}
       486:{3,4,6}:{(455,1),(456,1),(477,1)}
       487:{1,3,4,7}:{(457,1),(458,1),(459,1),(467,1),(509,1),(511,1),(512,1),(541,1)}
       488:{2,5,7}:{(458,1),(468,1),(478,1),(511,1)}
       489:{1,2,4,7}:{(459,1),(460,1),(470,1),(511,1),(512,1)}
       490:{1,3,5}:{(461,1),(462,1),(513,1)}
       491:{2,3,4,6}:{(462,1),(464,1),(506,1),(513,1),(514,1),(518,1),(537,1),(545,1)}
       492:{2,4,5}:{(463,1),(464,1),(513,1),(515,1)}
       493:{1,4,6}:{(464,1),(465,1),(509,1),(515,1)}
       494:{1,2,5,6}:{(465,1),(468,1),(510,1),(516,1),(542,1),(551,1)}
       495:{1,3,4,5}:{(466,1),(467,1),(469,1),(515,1),(517,1),(519,1),(544,1)}
       496:{2,4,6}:{(467,1),(468,1),(511,1),(517,1),(518,1)}
       497:{1,2,4,5}:{(469,1),(470,1),(471,1),(517,1),(519,1),(520,1)}
       498:{1,3,6}:{(470,1),(512,1),(518,1),(519,1)}
       499:{1,2,3,5}:{(471,1),(472,1),(519,1),(520,1)}
       500:{1,3,5,6}:{(473,1),(474,1),(477,1),(507,1),(521,1)}
       501:{2,5,7}:{(474,1),(475,1),(521,1),(522,1)}
       502:{1,4,6,7}:{(475,1),(476,1),(509,1),(522,1),(540,1)}
       503:{1,2,6,7}:{(476,1),(478,1),(510,1),(551,1)}
       504:{1,2,4,6}:{(479,1),(480,1),(482,1),(523,1),(526,1)}
       505:{1,3,5,7}:{(480,1),(481,1),(490,1),(523,1),(524,1)}
       506:{2,3,4,7}:{(481,1),(484,1),(491,1),(524,1),(525,1),(529,1)}
       507:{1,3,4,6}:{(482,1),(483,1),(486,1),(500,1),(523,1),(526,1)}
       508:{2,4,5,7}:{(483,1),(484,1),(492,1),(501,1),(524,1),(526,1),(527,1)}
       509:{1,4,7}:{(484,1),(485,1),(493,1)}
       510:{1,2,5,7}:{(485,1),(488,1),(494,1),(503,1),(528,1)}
       511:{2,4,7}:{(487,1),(488,1),(496,1),(529,1)}
       512:{1,3,7}:{(489,1),(498,1),(529,1)}
       513:{2,3,5}:{(490,1),(491,1),(492,1),(530,1)}
       514:{1,3,4,6}:{(491,1),(493,1),(525,1),(530,1),(531,1),(533,1),(546,1),(550,1)}
       515:{1,4,5}:{(492,1),(493,1),(530,1)}
       516:{1,2,4,6}:{(493,1),(494,1),(496,1),(528,1),(532,1),(533,1)}
       517:{2,4,5}:{(495,1),(496,1),(534,1)}
       518:{2,3,6}:{(496,1),(498,1),(529,1),(533,1),(534,1)}
       519:{1,3,5}:{(497,1),(498,1),(534,1),(535,1)}
       520:{1,2,4}:{(499,1),(535,1)}
       521:{2,5,6}:{(500,1),(501,1),(526,1),(536,1)}
       522:{1,5,7}:{(501,1),(502,1),(536,1)}
       523:{1,3,6}:{(504,1),(505,1),(537,1)}
       524:{2,3,5,7}:{(505,1),(506,1),(508,1),(513,1),(537,1),(538,1)}
       525:{1,3,4,7}:{(506,1),(509,1),(514,1),(538,1),(539,1),(541,1)}
       526:{2,4,6}:{(507,1),(508,1),(521,1),(537,1),(540,1)}
       527:{1,4,5,7}:{(508,1),(509,1),(515,1),(522,1),(538,1),(540,1)}
       528:{1,2,4,7}:{(509,1),(510,1),(511,1),(516,1),(541,1)}
       529:{2,3,7}:{(511,1),(512,1),(518,1),(541,1)}
       530:{1,3,5}:{(513,1),(514,1),(515,1),(542,1)}
       531:{1,2,4,6}:{(514,1),(539,1),(542,1),(543,1),(551,1),(552,1)}
       532:{1,2,4,5}:{(515,1),(516,1),(517,1),(542,1),(544,1),(552,1)}
       533:{1,3,6}:{(516,1),(518,1),(541,1),(544,1)}
       534:{2,3,5}:{(517,1),(518,1),(519,1),(544,1),(545,1)}
       535:{1,3,4}:{(519,1),(520,1),(545,1)}
       536:{1,5,6}:{(521,1),(522,1),(540,1)}
       537:{2,3,6}:{(523,1),(524,1),(526,1),(546,1)}
       538:{1,3,5,7}:{(524,1),(525,1),(527,1),(530,1),(546,1),(547,1)}
       539:{1,2,4,7}:{(525,1),(531,1),(547,1),(548,1)}
       540:{1,4,6}:{(526,1),(527,1),(536,1),(546,1)}
       541:{1,3,7}:{(528,1),(529,1),(533,1)}
       542:{1,2,5}:{(530,1),(531,1)}
       543:{1,2,3,6}:{(531,1),(533,1),(548,1),(549,1)}
       544:{1,3,5}:{(532,1),(533,1),(534,1),(550,1)}
       545:{2,3,4}:{(534,1),(535,1),(550,1)}
       546:{1,3,6}:{(537,1),(538,1),(540,1),(551,1)}
       547:{1,2,5,7}:{(538,1),(539,1),(542,1),(551,1)}
       548:{1,2,3,7}:{(539,1),(541,1),(543,1)}
       549:{1,2,3,5}:{(542,1),(543,1),(544,1),(552,1)}
       550:{1,3,4}:{(544,1),(545,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1617 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(57,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(57,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(57,1),(64,1),(87,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(44,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(73,1),(115,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(44,1),(117,1),(118,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(48,1),(51,1),(73,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(44,1),(76,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(57,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(86,1),(107,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(60,1),(109,1),(111,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(57,1),(66,1),(87,1),(94,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(63,1),(67,1),(86,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(39,1),(40,1),(120,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(40,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(41,1),(42,1),(47,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(42,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(40,1),(43,1),(44,1),(106,1),(117,1)}
        30:{1,2,4,7}:{(18,1),(41,1),(45,1),(46,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(46,1),(47,1),(75,1),(99,1),(101,1)}
        32:{2,3,5}:{(19,1),(20,1),(47,1),(48,1)}
        33:{1,4,5}:{(20,1),(44,1),(48,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(39,1),(50,1),(51,1),(73,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(42,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(44,1),(52,1),(54,1),(106,1)}
        39:{2,3,6,7}:{(25,1),(28,1),(34,1),(55,1),(56,1),(94,1),(113,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(29,1),(56,1),(57,1),(114,1),(121,1)}
        41:{1,2,5,7}:{(27,1),(30,1),(58,1),(62,1)}
        42:{1,3,6}:{(27,1),(28,1),(36,1),(58,1)}
        43:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(56,1),(59,1),(60,1),(70,1),(96,1),(109,1)}
        44:{1,4,6}:{(29,1),(33,1),(57,1),(60,1)}
        45:{1,2,3,7}:{(30,1),(61,1),(107,1)}
        46:{1,2,4,6}:{(30,1),(31,1),(58,1),(61,1),(62,1),(90,1)}
        47:{1,3,5}:{(31,1),(32,1),(62,1),(63,1)}
        48:{2,4,5}:{(32,1),(33,1),(60,1),(63,1),(64,1)}
        49:{1,3,5,6,7}:{(35,1),(65,1),(66,1),(94,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(55,1),(67,1),(86,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(57,1),(66,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(60,1),(68,1),(69,1),(70,1),(96,1)}
        55:{1,3,6,7}:{(39,1),(42,1),(50,1),(71,1),(72,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(43,1),(51,1),(72,1),(73,1),(83,1),(105,1),(115,1)}
        57:{1,4,7}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(47,1),(53,1),(72,1),(74,1),(75,1),(99,1)}
        60:{2,4,6}:{(43,1),(44,1),(48,1),(73,1),(75,1),(76,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(77,1),(99,1)}
        62:{1,2,5}:{(46,1),(47,1)}
        63:{1,4,5}:{(47,1),(48,1),(75,1)}
        64:{3,4,5}:{(48,1),(76,1)}
        65:{2,5,6,7}:{(49,1),(51,1),(80,1),(81,1)}
        66:{1,4,6,7}:{(49,1),(52,1),(81,1),(120,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(73,1),(81,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(75,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(76,1),(83,1)}
        71:{1,2,6,7}:{(55,1),(58,1),(85,1),(113,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(59,1),(67,1),(85,1),(86,1),(107,1)}
        73:{2,4,7}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(62,1),(85,1),(88,1),(96,1)}
        75:{1,4,6}:{(59,1),(60,1),(63,1),(86,1)}
        76:{3,4,6}:{(60,1),(64,1),(70,1),(87,1)}
        77:{1,2,3,5}:{(61,1),(62,1),(90,1),(91,1)}
        78:{1,2,4,5}:{(62,1),(63,1),(88,1),(90,1),(91,1),(92,1)}
        79:{1,3,4,5}:{(63,1),(64,1),(89,1),(91,1),(92,1)}
        80:{1,5,6,7}:{(65,1),(67,1),(93,1)}
        81:{2,4,6,7}:{(65,1),(66,1),(68,1),(93,1),(94,1),(113,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(86,1),(93,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(87,1),(94,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(89,1),(95,1),(96,1)}
        85:{1,2,5,7}:{(71,1),(72,1),(74,1),(97,1),(105,1)}
        86:{1,4,7}:{(72,1),(73,1),(75,1)}
        87:{3,4,7}:{(73,1),(76,1),(83,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(78,1),(97,1),(99,1),(100,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(79,1),(84,1),(98,1),(99,1),(100,1)}
        90:{1,2,4}:{(77,1),(101,1)}
        91:{1,3,5}:{(78,1),(99,1),(101,1),(102,1)}
        92:{2,4,5}:{(79,1),(100,1),(102,1),(103,1)}
        93:{1,4,6,7}:{(80,1),(81,1),(82,1),(104,1)}
        94:{3,6,7}:{(81,1),(83,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(98,1),(104,1),(105,1)}
        96:{2,5,6}:{(84,1),(100,1),(105,1),(106,1)}
        97:{1,2,4,7}:{(85,1),(86,1),(88,1),(107,1),(108,1)}
        98:{1,3,4,7}:{(86,1),(87,1),(89,1),(95,1),(107,1),(108,1)}
        99:{1,3,6}:{(88,1),(91,1),(107,1),(109,1)}
       100:{2,4,6}:{(89,1),(92,1),(96,1),(108,1),(109,1),(110,1)}
       101:{1,3,4}:{(90,1),(91,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(109,1),(111,1),(112,1)}
       103:{1,4,5}:{(92,1),(110,1),(112,1)}
       104:{1,3,6,7}:{(93,1),(94,1),(95,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(108,1),(113,1),(114,1)}
       106:{1,5,6}:{(96,1),(110,1),(114,1)}
       107:{1,3,7}:{(97,1),(99,1),(115,1)}
       108:{2,4,7}:{(98,1),(100,1),(105,1),(115,1),(116,1)}
       109:{2,3,6}:{(99,1),(100,1),(102,1),(115,1),(117,1)}
       110:{1,4,6}:{(100,1),(103,1),(106,1),(116,1),(117,1)}
       111:{2,3,4}:{(101,1),(102,1),(118,1)}
       112:{1,3,5}:{(102,1),(103,1),(117,1),(118,1),(119,1)}
       113:{2,6,7}:{(104,1),(105,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(116,1),(120,1)}
       115:{2,3,7}:{(107,1),(108,1),(109,1),(121,1)}
       116:{1,4,7}:{(108,1),(110,1),(114,1),(121,1)}
       117:{1,3,6}:{(109,1),(110,1),(112,1),(121,1),(122,1)}
       118:{1,3,4}:{(111,1),(112,1),(123,1)}
       119:{1,2,5}:{(112,1),(122,1),(123,1)}
       120:{1,6,7}:{(113,1),(114,1)}
       121:{1,3,7}:{(115,1),(116,1),(117,1),(124,1)}
       122:{1,2,6}:{(117,1),(119,1),(124,1)}
       123:{1,2,4}:{(118,1),(119,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

1618 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(120,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(66,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(66,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(112,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(65,1),(66,1),(94,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(80,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(50,1),(102,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(50,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(48,1),(53,1),(80,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(50,1),(81,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(109,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(91,1),(109,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(64,1),(90,1),(110,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(66,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(62,1),(67,1),(91,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(66,1),(72,1),(94,1),(98,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(71,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(42,1)}
        27:{1,2,3,6}:{(14,1),(42,1),(43,1),(100,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(41,1),(44,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(42,1),(44,1),(45,1),(76,1),(78,1),(100,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(44,1)}
        31:{2,3,5}:{(17,1),(19,1),(45,1),(48,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(46,1),(49,1),(122,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(47,1),(49,1),(50,1),(108,1),(118,1)}
        34:{1,4,5}:{(19,1),(48,1),(50,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(49,1),(53,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(44,1),(52,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(46,1),(51,1),(53,1),(80,1)}
        38:{2,5,6}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(53,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(50,1),(54,1),(56,1),(108,1)}
        41:{1,2,5,7}:{(26,1),(28,1),(57,1),(58,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,2,3,5}:{(27,1),(58,1),(59,1),(89,1)}
        44:{1,3,6}:{(28,1),(30,1),(36,1),(57,1)}
        45:{1,3,5}:{(29,1),(31,1),(58,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(37,1),(60,1),(63,1),(98,1),(115,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(61,1),(63,1),(64,1),(71,1),(97,1),(110,1)}
        48:{2,4,5}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(35,1),(63,1),(66,1),(116,1),(123,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(66,1)}
        51:{1,4,6,7}:{(36,1),(37,1),(60,1),(67,1),(91,1)}
        52:{1,5,6}:{(36,1),(38,1),(67,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(67,1)}
        54:{2,4,5,6}:{(38,1),(40,1),(64,1),(68,1),(70,1),(71,1),(97,1)}
        55:{1,3,5,6,7}:{(39,1),(69,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(66,1),(70,1),(72,1),(116,1)}
        57:{1,2,6}:{(41,1),(44,1)}
        58:{1,2,5}:{(42,1),(45,1)}
        59:{1,2,4}:{(43,1),(76,1)}
        60:{1,3,6,7}:{(44,1),(46,1),(51,1),(73,1),(77,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(52,1),(74,1),(77,1),(78,1),(100,1)}
        62:{1,4,5}:{(45,1),(48,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(49,1),(53,1),(77,1),(80,1),(86,1),(107,1),(117,1)}
        64:{2,4,6}:{(47,1),(48,1),(50,1),(78,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,4,7}:{(49,1),(50,1),(80,1)}
        67:{1,5,7}:{(51,1),(52,1),(53,1)}
        68:{1,4,5,6}:{(52,1),(54,1),(78,1),(83,1),(84,1)}
        69:{2,5,6,7}:{(53,1),(55,1),(82,1),(85,1)}
        70:{2,4,5,7}:{(53,1),(54,1),(56,1),(80,1),(83,1),(85,1),(86,1),(107,1)}
        71:{3,5,6}:{(54,1),(81,1),(86,1)}
        72:{1,4,6,7}:{(55,1),(56,1),(85,1),(122,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(115,1)}
        74:{1,2,5,6}:{(57,1),(58,1),(61,1),(87,1),(88,1),(97,1)}
        75:{1,2,4,5}:{(58,1),(59,1),(62,1),(88,1),(89,1),(93,1)}
        76:{1,3,4}:{(59,1),(89,1),(90,1)}
        77:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(87,1),(91,1),(109,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(91,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(89,1),(92,1),(93,1)}
        80:{2,4,7}:{(63,1),(64,1),(66,1),(91,1),(94,1)}
        81:{3,4,6}:{(64,1),(65,1),(71,1),(94,1)}
        82:{1,5,6,7}:{(67,1),(69,1),(95,1)}
        83:{1,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(68,1),(71,1),(92,1),(96,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(72,1),(95,1),(98,1),(115,1)}
        86:{3,5,7}:{(70,1),(71,1),(94,1),(98,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(77,1),(99,1),(107,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(78,1),(99,1),(100,1),(104,1)}
        89:{1,3,5}:{(75,1),(76,1),(100,1),(101,1)}
        90:{2,3,4}:{(76,1),(101,1),(102,1)}
        91:{1,4,7}:{(77,1),(78,1),(80,1)}
        92:{1,3,4,6}:{(78,1),(79,1),(81,1),(84,1),(100,1),(103,1),(104,1)}
        93:{2,4,5}:{(79,1),(101,1),(104,1),(105,1)}
        94:{3,4,7}:{(80,1),(81,1),(86,1)}
        95:{1,4,6,7}:{(82,1),(83,1),(85,1),(106,1)}
        96:{1,3,5,7}:{(83,1),(84,1),(86,1),(103,1),(106,1),(107,1)}
        97:{2,5,6}:{(84,1),(104,1),(107,1),(108,1)}
        98:{3,6,7}:{(85,1),(86,1)}
        99:{1,2,4,7}:{(87,1),(88,1),(91,1),(109,1),(113,1)}
       100:{1,3,6}:{(88,1),(89,1),(109,1),(110,1)}
       101:{2,3,5}:{(89,1),(90,1),(93,1),(110,1),(111,1)}
       102:{1,3,4}:{(90,1),(111,1),(112,1)}
       103:{1,3,4,7}:{(91,1),(92,1),(94,1),(96,1),(109,1),(113,1)}
       104:{2,4,6}:{(92,1),(93,1),(97,1),(110,1),(113,1),(114,1)}
       105:{1,4,5}:{(93,1),(111,1),(114,1)}
       106:{1,3,6,7}:{(95,1),(96,1),(98,1),(115,1)}
       107:{2,5,7}:{(96,1),(97,1),(113,1),(115,1),(116,1)}
       108:{1,5,6}:{(97,1),(114,1),(116,1)}
       109:{1,3,7}:{(99,1),(100,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       111:{1,3,5}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,2,4}:{(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(103,1),(104,1),(107,1),(117,1),(121,1)}
       114:{1,4,6}:{(104,1),(105,1),(108,1),(118,1),(121,1)}
       115:{2,6,7}:{(106,1),(107,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(121,1),(122,1)}
       117:{2,3,7}:{(109,1),(110,1),(113,1),(123,1)}
       118:{1,3,6}:{(110,1),(111,1),(114,1),(123,1),(124,1)}
       119:{1,2,5}:{(111,1),(112,1),(124,1)}
       120:{1,2,3}:{(112,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(123,1)}
       122:{1,6,7}:{(115,1),(116,1)}
       123:{1,3,7}:{(117,1),(118,1),(121,1),(125,1)}
       124:{1,2,6}:{(118,1),(119,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

1619 :   0:{1,2,3,5}:{(1,1),(2,1),(10,1),(11,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(135,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(8,1),(10,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(42,1),(154,1),(172,1)}
         5:{1,2,3,7}:{(1,1),(12,1),(40,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(11,1),(13,1),(14,1),(37,1)}
         7:{1,3,4,5}:{(10,1),(14,1),(15,1),(37,1),(78,1)}
         8:{2,3,4}:{(3,1),(17,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(4,1),(18,1),(20,1),(21,1),(22,1),(59,1),(62,1),(136,1),(167,1)}
        10:{1,3,5}:{(3,1),(6,1),(19,1),(22,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(21,1),(24,1),(174,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(25,1),(27,1),(59,1)}
        14:{2,4,5}:{(7,1),(19,1),(26,1),(27,1)}
        15:{1,3,4,6}:{(7,1),(22,1),(27,1),(28,1),(29,1),(59,1),(102,1)}
        16:{1,2,3}:{(31,1)}
        17:{1,3,4}:{(8,1),(31,1),(33,1)}
        18:{2,3,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(36,1),(79,1),(82,1),(115,1),(156,1)}
        19:{2,3,5}:{(8,1),(10,1),(14,1),(33,1),(36,1)}
        20:{1,3,5}:{(9,1),(11,1),(34,1),(37,1)}
        21:{1,3,4,7}:{(9,1),(12,1),(35,1),(39,1),(40,1),(83,1),(173,1)}
        22:{1,3,6}:{(10,1),(13,1),(36,1),(40,1)}
        23:{1,2,5,6}:{(11,1),(13,1),(38,1),(41,1),(42,1),(44,1),(172,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(39,1),(42,1)}
        25:{1,2,4,7}:{(13,1),(40,1),(41,1),(45,1),(83,1)}
        26:{1,4,5}:{(14,1),(33,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(36,1),(43,1),(44,1),(45,1)}
        28:{1,3,5,6}:{(15,1),(44,1),(46,1),(47,1),(88,1)}
        29:{1,3,4,7}:{(15,1),(40,1),(45,1),(47,1),(83,1),(125,1)}
        30:{1,2,3,6}:{(16,1),(48,1),(49,1),(50,1),(138,1)}
        31:{1,2,4}:{(16,1),(17,1),(51,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(49,1),(52,1),(53,1),(54,1),(92,1),(98,1),(101,1),(138,1)}
        33:{1,3,5}:{(17,1),(19,1),(26,1),(51,1),(54,1)}
        34:{2,3,5}:{(18,1),(20,1),(52,1),(55,1)}
        35:{2,3,4,7}:{(18,1),(21,1),(53,1),(57,1),(58,1),(104,1),(168,1)}
        36:{2,3,6}:{(19,1),(22,1),(27,1),(54,1),(58,1)}
        37:{1,4,5}:{(20,1),(55,1),(59,1)}
        38:{1,3,5,6}:{(20,1),(22,1),(23,1),(56,1),(59,1),(61,1),(62,1),(108,1),(149,1),(167,1)}
        39:{1,3,5,7}:{(20,1),(21,1),(24,1),(57,1),(60,1),(62,1)}
        40:{1,3,7}:{(22,1),(25,1),(58,1)}
        41:{1,2,5,7}:{(23,1),(25,1),(61,1),(63,1),(67,1),(174,1)}
        42:{1,2,6}:{(24,1),(62,1)}
        43:{1,4,6}:{(26,1),(27,1),(54,1),(64,1),(65,1)}
        44:{2,5,6}:{(27,1),(28,1),(64,1),(67,1)}
        45:{2,4,7}:{(27,1),(29,1),(58,1),(65,1),(67,1)}
        46:{1,4,5,6}:{(28,1),(59,1),(66,1),(68,1),(108,1),(149,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(67,1),(68,1),(69,1),(112,1)}
        48:{1,2,3,5}:{(30,1),(70,1),(71,1),(116,1)}
        49:{1,2,4,6}:{(30,1),(31,1),(32,1),(70,1),(71,1),(72,1),(73,1),(119,1)}
        50:{1,2,3,7}:{(30,1),(72,1),(157,1)}
        51:{1,2,5}:{(31,1),(33,1),(73,1)}
        52:{1,3,5}:{(32,1),(34,1),(71,1),(74,1)}
        53:{1,3,4,7}:{(32,1),(35,1),(72,1),(76,1),(77,1),(122,1),(157,1)}
        54:{1,3,6}:{(33,1),(36,1),(43,1),(73,1),(77,1)}
        55:{2,4,5}:{(34,1),(37,1),(74,1),(78,1),(79,1)}
        56:{2,3,5,6}:{(34,1),(36,1),(38,1),(44,1),(75,1),(79,1),(81,1),(82,1),(88,1),(128,1),(130,1),(156,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(39,1),(76,1),(80,1),(82,1)}
        58:{2,3,7}:{(36,1),(40,1),(45,1),(77,1)}
        59:{1,4,6}:{(37,1),(38,1),(79,1),(83,1)}
        60:{1,4,5,7}:{(37,1),(39,1),(80,1),(83,1),(84,1),(129,1)}
        61:{1,3,5,7}:{(38,1),(40,1),(41,1),(81,1),(83,1),(85,1),(129,1),(163,1),(173,1)}
        62:{1,3,6}:{(39,1),(42,1),(82,1),(84,1)}
        63:{1,2,6,7}:{(41,1),(42,1),(85,1),(90,1)}
        64:{1,5,6}:{(43,1),(44,1),(87,1)}
        65:{1,4,7}:{(43,1),(45,1),(77,1),(87,1)}
        66:{2,4,5,6}:{(44,1),(46,1),(79,1),(86,1),(88,1),(89,1),(128,1),(130,1),(162,1)}
        67:{2,5,7}:{(44,1),(45,1),(47,1),(87,1),(90,1)}
        68:{1,4,5,7}:{(46,1),(47,1),(83,1),(89,1),(91,1),(129,1),(163,1)}
        69:{1,3,6,7}:{(47,1),(90,1),(91,1),(133,1)}
        70:{1,2,4}:{(48,1),(92,1)}
        71:{1,2,5}:{(49,1),(52,1)}
        72:{1,2,4,7}:{(49,1),(50,1),(53,1),(95,1),(96,1)}
        73:{1,2,6}:{(51,1),(54,1),(96,1)}
        74:{1,4,5}:{(52,1),(55,1),(98,1)}
        75:{1,3,5,6}:{(52,1),(54,1),(56,1),(64,1),(94,1),(98,1),(100,1),(101,1),(138,1),(145,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(57,1),(95,1),(99,1),(101,1)}
        77:{1,3,7}:{(54,1),(58,1),(65,1),(96,1)}
        78:{3,4,5}:{(55,1),(102,1)}
        79:{2,4,6}:{(55,1),(56,1),(59,1),(98,1),(102,1),(104,1)}
        80:{2,4,5,7}:{(55,1),(57,1),(60,1),(99,1),(103,1),(104,1),(105,1),(148,1)}
        81:{2,3,5,7}:{(56,1),(58,1),(61,1),(67,1),(100,1),(104,1),(106,1),(112,1),(148,1),(150,1),(168,1)}
        82:{2,3,6}:{(57,1),(62,1),(101,1),(105,1)}
        83:{1,4,7}:{(59,1),(61,1),(104,1)}
        84:{1,4,6}:{(60,1),(62,1),(105,1),(108,1)}
        85:{1,3,6,7}:{(61,1),(62,1),(63,1),(106,1),(107,1),(171,1)}
        86:{1,4,5,6}:{(64,1),(66,1),(98,1),(109,1),(110,1),(145,1)}
        87:{1,5,7}:{(64,1),(65,1),(67,1),(111,1)}
        88:{3,5,6}:{(66,1),(102,1),(112,1)}
        89:{2,4,5,7}:{(66,1),(67,1),(68,1),(104,1),(110,1),(112,1),(113,1),(148,1),(150,1),(170,1)}
        90:{2,6,7}:{(67,1),(69,1),(111,1)}
        91:{1,4,6,7}:{(68,1),(69,1),(113,1),(114,1),(171,1)}
        92:{1,3,4}:{(70,1),(115,1),(116,1)}
        93:{1,2,4,5}:{(70,1),(71,1),(74,1),(116,1),(117,1),(120,1)}
        94:{1,2,5,6}:{(71,1),(73,1),(75,1),(117,1),(118,1),(119,1),(130,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(76,1),(119,1)}
        96:{1,2,7}:{(73,1),(77,1)}
        97:{1,3,4,5}:{(74,1),(78,1),(116,1),(120,1),(121,1)}
        98:{1,4,6}:{(74,1),(75,1),(79,1),(122,1)}
        99:{1,4,5,7}:{(74,1),(76,1),(80,1),(122,1),(123,1),(160,1)}
       100:{1,3,5,7}:{(75,1),(77,1),(81,1),(87,1),(118,1),(122,1),(124,1),(157,1),(160,1)}
       101:{1,3,6}:{(76,1),(82,1),(119,1),(123,1)}
       102:{3,4,6}:{(78,1),(79,1),(88,1),(125,1)}
       103:{3,4,5,7}:{(78,1),(80,1),(125,1),(126,1),(161,1)}
       104:{2,4,7}:{(79,1),(81,1),(83,1),(122,1),(125,1)}
       105:{2,4,6}:{(80,1),(82,1),(84,1),(123,1),(126,1),(128,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(85,1),(90,1),(124,1),(127,1),(133,1),(164,1)}
       107:{1,4,6,7}:{(83,1),(84,1),(85,1),(127,1),(129,1)}
       108:{1,5,6}:{(84,1),(128,1),(129,1)}
       109:{1,3,5,6}:{(86,1),(88,1),(121,1),(130,1),(131,1)}
       110:{1,4,5,7}:{(86,1),(87,1),(89,1),(122,1),(131,1),(132,1),(160,1)}
       111:{1,6,7}:{(87,1),(90,1)}
       112:{3,5,7}:{(88,1),(89,1),(125,1),(133,1)}
       113:{2,4,6,7}:{(89,1),(90,1),(91,1),(132,1),(133,1),(134,1),(164,1),(165,1)}
       114:{1,5,6,7}:{(91,1),(129,1),(134,1)}
       115:{2,3,4}:{(92,1),(136,1),(137,1)}
       116:{1,3,5}:{(92,1),(93,1),(137,1),(138,1)}
       117:{1,2,4,6}:{(93,1),(94,1),(98,1),(138,1),(139,1),(142,1)}
       118:{1,2,5,7}:{(94,1),(96,1),(100,1),(139,1),(140,1),(150,1)}
       119:{1,2,6}:{(95,1),(101,1)}
       120:{2,4,5}:{(97,1),(137,1),(141,1),(142,1)}
       121:{1,3,4,6}:{(97,1),(98,1),(102,1),(109,1),(138,1),(142,1),(143,1)}
       122:{1,4,7}:{(98,1),(100,1),(104,1)}
       123:{1,4,6}:{(99,1),(101,1),(105,1),(145,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(106,1),(111,1),(140,1),(144,1)}
       125:{3,4,7}:{(102,1),(104,1),(112,1)}
       126:{3,4,6}:{(103,1),(105,1),(147,1)}
       127:{2,4,6,7}:{(104,1),(105,1),(106,1),(107,1),(144,1),(146,1),(148,1)}
       128:{2,5,6}:{(105,1),(108,1),(145,1),(147,1),(148,1)}
       129:{1,5,7}:{(107,1),(108,1),(148,1)}
       130:{2,5,6}:{(109,1),(142,1),(149,1),(150,1)}
       131:{1,3,5,7}:{(109,1),(110,1),(112,1),(143,1),(150,1),(151,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(113,1),(151,1),(152,1)}
       133:{3,6,7}:{(112,1),(113,1)}
       134:{2,5,6,7}:{(113,1),(114,1),(148,1),(152,1),(153,1)}
       135:{1,2,3}:{(154,1)}
       136:{1,3,4}:{(115,1),(154,1),(155,1)}
       137:{2,3,5}:{(115,1),(116,1),(120,1),(155,1),(156,1)}
       138:{1,3,6}:{(116,1),(117,1),(156,1),(157,1)}
       139:{1,2,4,7}:{(117,1),(118,1),(122,1),(157,1),(159,1)}
       140:{1,2,6,7}:{(118,1),(119,1),(124,1),(164,1)}
       141:{1,4,5}:{(120,1),(155,1),(158,1)}
       142:{2,4,6}:{(120,1),(121,1),(130,1),(156,1),(158,1),(159,1)}
       143:{1,3,4,7}:{(121,1),(122,1),(125,1),(131,1),(157,1),(159,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(160,1)}
       145:{1,5,6}:{(123,1),(128,1),(160,1)}
       146:{3,4,6,7}:{(125,1),(126,1),(127,1),(133,1),(161,1),(165,1)}
       147:{3,5,6}:{(126,1),(128,1),(161,1),(162,1)}
       148:{2,5,7}:{(127,1),(128,1),(129,1),(160,1),(161,1)}
       149:{1,5,6}:{(130,1),(158,1),(163,1)}
       150:{2,5,7}:{(130,1),(131,1),(159,1),(163,1),(164,1)}
       151:{1,3,6,7}:{(131,1),(132,1),(133,1),(164,1)}
       152:{1,5,6,7}:{(132,1),(134,1),(160,1)}
       153:{3,5,6,7}:{(133,1),(134,1),(161,1),(165,1)}
       154:{1,2,4}:{(135,1),(136,1),(166,1)}
       155:{1,3,5}:{(136,1),(137,1),(141,1),(166,1),(167,1)}
       156:{2,3,6}:{(137,1),(138,1),(142,1),(167,1),(168,1)}
       157:{1,3,7}:{(138,1),(139,1),(168,1)}
       158:{1,4,6}:{(141,1),(142,1),(149,1),(167,1),(169,1)}
       159:{2,4,7}:{(142,1),(143,1),(150,1),(168,1),(169,1)}
       160:{1,5,7}:{(144,1),(145,1),(148,1)}
       161:{3,5,7}:{(146,1),(147,1),(148,1),(170,1)}
       162:{4,5,6}:{(147,1),(170,1)}
       163:{1,5,7}:{(149,1),(150,1),(169,1),(171,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{4,6,7}:{(153,1),(170,1)}
       166:{1,2,5}:{(154,1),(155,1),(172,1)}
       167:{1,3,6}:{(155,1),(156,1),(158,1),(172,1),(173,1)}
       168:{2,3,7}:{(156,1),(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(165,1)}
       171:{1,6,7}:{(163,1),(164,1)}
       172:{1,2,6}:{(166,1),(167,1),(174,1)}
       173:{1,3,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,2,7}:{(172,1),(173,1)}

1620 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1621 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1622 :   0:{2,3,4,5}:{(1,1),(2,1),(14,1),(91,1)}
         1:{1,3,4,5}:{(0,1),(5,1),(6,1),(9,1),(26,1),(79,1),(105,1),(109,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(29,1),(71,1)}
         3:{1,2,4,5}:{(5,1),(9,1),(10,1),(11,1),(41,1),(79,1)}
         4:{1,2,3,5}:{(9,1),(11,1),(12,1),(41,1)}
         5:{2,4,5}:{(1,1),(14,1),(15,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(17,1),(21,1),(45,1),(59,1),(88,1),(93,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(19,1)}
         8:{2,3,4,7}:{(2,1),(17,1),(19,1),(50,1),(94,1)}
         9:{1,3,5}:{(3,1),(14,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(15,1),(21,1),(22,1),(23,1),(59,1)}
        11:{1,2,4}:{(4,1),(20,1)}
        12:{1,2,3,6}:{(4,1),(21,1),(24,1),(25,1)}
        13:{1,2,4,5}:{(5,1),(26,1),(27,1),(63,1),(103,1),(105,1)}
        14:{2,3,5}:{(5,1),(9,1),(26,1),(28,1),(29,1)}
        15:{2,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(73,1)}
        17:{1,3,4,7}:{(6,1),(8,1),(31,1),(33,1),(39,1),(67,1),(81,1),(107,1),(112,1)}
        18:{2,4,5,6}:{(7,1),(32,1),(34,1),(35,1),(71,1),(133,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(35,1),(36,1)}
        20:{1,3,4}:{(9,1),(11,1),(28,1)}
        21:{1,3,6}:{(9,1),(10,1),(29,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(30,1),(38,1),(40,1),(41,1),(83,1)}
        23:{1,2,4,7}:{(10,1),(31,1),(39,1),(40,1),(81,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(37,1),(41,1),(42,1),(83,1)}
        25:{1,2,3,7}:{(12,1),(39,1),(42,1)}
        26:{1,3,5}:{(13,1),(14,1),(44,1),(45,1)}
        27:{1,2,4,6}:{(13,1),(15,1),(45,1),(46,1),(47,1),(88,1)}
        28:{2,3,4}:{(14,1),(20,1),(44,1)}
        29:{2,3,6}:{(14,1),(15,1),(21,1),(45,1),(50,1)}
        30:{2,5,6}:{(15,1),(16,1),(52,1)}
        31:{2,4,7}:{(15,1),(17,1),(50,1),(52,1)}
        32:{1,4,5,6}:{(16,1),(18,1),(51,1),(53,1),(59,1),(88,1),(128,1),(136,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(54,1),(96,1)}
        34:{3,4,5,6}:{(18,1),(55,1),(93,1),(137,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(53,1),(55,1),(56,1),(94,1),(126,1)}
        36:{2,3,6,7}:{(19,1),(54,1),(56,1)}
        37:{1,3,4,6}:{(20,1),(21,1),(24,1),(48,1),(57,1),(58,1),(59,1),(101,1)}
        38:{1,3,5,6}:{(21,1),(22,1),(49,1),(57,1),(59,1),(60,1),(101,1),(128,1)}
        39:{1,3,7}:{(21,1),(23,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(52,1),(60,1),(61,1)}
        41:{1,2,5}:{(24,1),(57,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(58,1),(62,1)}
        43:{1,2,3,5}:{(26,1),(63,1),(64,1),(103,1)}
        44:{1,3,4}:{(26,1),(28,1),(63,1)}
        45:{1,3,6}:{(26,1),(27,1),(29,1),(67,1)}
        46:{1,2,5,6}:{(27,1),(30,1),(66,1),(68,1),(103,1),(129,1)}
        47:{1,2,4,7}:{(27,1),(31,1),(67,1),(68,1),(107,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(37,1),(65,1),(69,1),(70,1),(71,1),(111,1)}
        49:{2,3,5,6}:{(29,1),(30,1),(38,1),(66,1),(69,1),(71,1),(72,1),(73,1),(111,1),(133,1)}
        50:{2,3,7}:{(29,1),(31,1),(39,1),(67,1)}
        51:{2,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(74,1),(133,1),(139,1)}
        52:{2,5,7}:{(30,1),(31,1),(33,1),(75,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(74,1),(76,1),(81,1),(107,1),(118,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(75,1),(76,1),(114,1)}
        55:{3,4,5,7}:{(34,1),(35,1),(77,1),(112,1),(134,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(76,1),(77,1),(78,1)}
        57:{1,3,5}:{(37,1),(41,1),(69,1),(79,1)}
        58:{1,3,4,7}:{(37,1),(39,1),(42,1),(70,1),(80,1),(81,1)}
        59:{1,4,6}:{(38,1),(71,1),(79,1),(81,1)}
        60:{1,3,5,7}:{(38,1),(39,1),(40,1),(72,1),(81,1),(82,1),(118,1)}
        61:{1,2,6,7}:{(40,1),(75,1),(82,1),(83,1)}
        62:{1,2,5,7}:{(41,1),(42,1),(80,1),(83,1)}
        63:{1,2,4}:{(43,1),(44,1)}
        64:{1,2,3,6}:{(43,1),(45,1),(84,1),(85,1)}
        65:{1,3,4,6}:{(44,1),(45,1),(48,1),(84,1),(86,1),(87,1),(88,1),(121,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(49,1),(86,1),(88,1),(89,1),(121,1),(136,1)}
        67:{1,3,7}:{(45,1),(47,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(52,1),(89,1),(90,1)}
        69:{2,3,5}:{(48,1),(57,1),(86,1),(91,1)}
        70:{2,3,4,7}:{(48,1),(50,1),(58,1),(87,1),(92,1),(94,1)}
        71:{2,4,6}:{(49,1),(59,1),(88,1),(91,1),(93,1),(94,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(60,1),(89,1),(94,1),(95,1),(96,1),(126,1)}
        73:{3,5,6}:{(51,1),(93,1),(96,1)}
        74:{2,4,5,7}:{(51,1),(52,1),(53,1),(94,1),(96,1),(97,1),(126,1),(138,1)}
        75:{2,6,7}:{(52,1),(54,1)}
        76:{1,4,6,7}:{(53,1),(54,1),(56,1),(97,1),(98,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(99,1)}
        78:{2,5,6,7}:{(56,1),(98,1),(99,1),(126,1)}
        79:{1,4,5}:{(57,1),(59,1),(91,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(62,1),(92,1),(100,1),(101,1)}
        81:{1,4,7}:{(59,1),(60,1),(94,1)}
        82:{1,3,6,7}:{(60,1),(61,1),(95,1),(101,1),(102,1)}
        83:{1,2,6}:{(62,1),(101,1)}
        84:{1,2,4,6}:{(63,1),(64,1),(65,1),(103,1),(104,1),(129,1)}
        85:{1,2,3,7}:{(64,1),(67,1),(104,1)}
        86:{1,3,5}:{(65,1),(69,1),(103,1),(105,1)}
        87:{1,3,4,7}:{(65,1),(67,1),(70,1),(104,1),(106,1),(107,1)}
        88:{1,4,6}:{(66,1),(71,1),(105,1),(107,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(107,1),(108,1),(131,1)}
        90:{1,2,6,7}:{(68,1),(75,1),(108,1),(129,1)}
        91:{2,4,5}:{(69,1),(71,1),(79,1),(105,1),(109,1)}
        92:{2,3,5,7}:{(69,1),(70,1),(80,1),(106,1),(110,1),(111,1)}
        93:{3,4,6}:{(71,1),(73,1),(109,1),(112,1)}
        94:{2,4,7}:{(71,1),(72,1),(81,1),(107,1),(112,1)}
        95:{2,3,6,7}:{(72,1),(75,1),(82,1),(108,1),(111,1),(113,1),(114,1)}
        96:{3,5,7}:{(73,1),(74,1),(112,1),(114,1)}
        97:{2,4,6,7}:{(74,1),(75,1),(76,1),(114,1),(115,1),(135,1)}
        98:{1,5,6,7}:{(76,1),(78,1),(115,1),(118,1),(131,1)}
        99:{3,5,6,7}:{(77,1),(78,1),(116,1),(134,1)}
       100:{1,4,5,7}:{(79,1),(80,1),(81,1),(110,1),(117,1),(118,1)}
       101:{1,3,6}:{(80,1),(83,1),(111,1),(117,1)}
       102:{1,4,6,7}:{(81,1),(82,1),(113,1),(117,1),(118,1)}
       103:{1,2,5}:{(84,1),(86,1)}
       104:{1,2,4,7}:{(84,1),(85,1),(87,1),(119,1)}
       105:{1,4,5}:{(86,1),(88,1),(91,1)}
       106:{1,3,5,7}:{(86,1),(87,1),(92,1),(119,1),(120,1),(121,1)}
       107:{1,4,7}:{(88,1),(89,1),(94,1)}
       108:{1,3,6,7}:{(89,1),(90,1),(95,1),(121,1),(122,1)}
       109:{3,4,5}:{(91,1),(93,1)}
       110:{2,4,5,7}:{(91,1),(92,1),(94,1),(100,1),(120,1),(123,1),(124,1),(126,1)}
       111:{2,3,6}:{(92,1),(101,1),(121,1),(124,1)}
       112:{3,4,7}:{(93,1),(94,1),(96,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(102,1),(122,1),(124,1),(125,1),(126,1)}
       114:{3,6,7}:{(96,1),(97,1)}
       115:{2,5,6,7}:{(97,1),(98,1),(126,1),(127,1)}
       116:{4,5,6,7}:{(99,1),(138,1)}
       117:{1,4,6}:{(100,1),(101,1),(124,1),(128,1)}
       118:{1,5,7}:{(102,1),(126,1),(128,1)}
       119:{1,2,5,7}:{(103,1),(104,1),(106,1),(129,1)}
       120:{1,4,5,7}:{(105,1),(106,1),(107,1),(110,1),(130,1),(131,1)}
       121:{1,3,6}:{(106,1),(111,1),(129,1),(130,1)}
       122:{1,4,6,7}:{(107,1),(108,1),(113,1),(130,1),(131,1)}
       123:{3,4,5,7}:{(109,1),(110,1),(112,1),(132,1),(134,1)}
       124:{2,4,6}:{(110,1),(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(112,1),(113,1),(114,1),(132,1),(134,1),(135,1)}
       126:{2,5,7}:{(113,1),(118,1),(131,1),(133,1),(134,1)}
       127:{3,5,6,7}:{(114,1),(115,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(133,1)}
       129:{1,2,6}:{(119,1),(121,1)}
       130:{1,4,6}:{(120,1),(121,1),(124,1),(136,1)}
       131:{1,5,7}:{(122,1),(126,1),(136,1)}
       132:{3,4,6}:{(123,1),(124,1),(137,1)}
       133:{2,5,6}:{(124,1),(126,1),(128,1),(136,1),(137,1)}
       134:{3,5,7}:{(125,1),(126,1),(137,1),(138,1)}
       135:{4,6,7}:{(127,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(133,1)}
       137:{3,5,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{4,5,7}:{(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1623 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1624 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1625 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1626 :   0:{1,2,3,5}:{(2,1),(3,1),(18,1),(21,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(27,1),(69,1)}
         2:{1,2,4}:{(0,1),(7,1)}
         3:{1,2,3,6}:{(0,1),(9,1),(10,1),(34,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(40,1),(43,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(18,1),(40,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(45,1),(88,1)}
         7:{1,3,4}:{(2,1),(13,1),(18,1)}
         8:{1,2,4,5}:{(2,1),(14,1),(18,1),(20,1),(21,1),(57,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(19,1),(21,1),(22,1),(60,1)}
        10:{1,2,3,7}:{(3,1),(22,1),(56,1)}
        11:{1,2,4}:{(4,1),(23,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(26,1),(61,1)}
        13:{2,3,4}:{(7,1),(23,1),(27,1)}
        14:{2,4,5}:{(5,1),(27,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(34,1),(61,1),(77,1),(102,1),(107,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(68,1),(108,1)}
        18:{1,3,5}:{(7,1),(8,1),(27,1),(34,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(28,1),(34,1),(35,1),(36,1),(77,1),(80,1)}
        20:{1,2,4,6}:{(8,1),(29,1),(34,1),(37,1),(38,1),(77,1)}
        21:{1,2,5}:{(9,1),(35,1)}
        22:{1,2,4,7}:{(9,1),(10,1),(36,1),(39,1)}
        23:{1,3,4}:{(11,1),(13,1),(40,1)}
        24:{1,2,4,5}:{(11,1),(14,1),(40,1),(42,1),(43,1),(84,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(41,1),(43,1),(44,1),(87,1)}
        26:{1,2,3,7}:{(12,1),(44,1),(83,1)}
        27:{2,3,5}:{(13,1),(14,1),(18,1),(40,1),(45,1)}
        28:{2,3,4,6}:{(13,1),(19,1),(41,1),(45,1),(46,1),(47,1),(88,1),(92,1)}
        29:{2,4,6}:{(14,1),(15,1),(45,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(56,1),(83,1),(99,1),(118,1),(121,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(88,1),(124,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,6}:{(18,1),(20,1),(45,1),(56,1)}
        35:{1,3,5}:{(19,1),(21,1),(46,1),(57,1)}
        36:{1,3,4,7}:{(19,1),(22,1),(47,1),(56,1),(58,1),(99,1)}
        37:{1,2,5,6}:{(20,1),(21,1),(48,1),(55,1),(59,1),(60,1)}
        38:{1,2,4,7}:{(20,1),(49,1),(56,1),(59,1),(99,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(58,1),(60,1)}
        40:{1,3,5}:{(23,1),(24,1),(27,1),(61,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(28,1),(61,1),(62,1),(63,1),(102,1),(105,1)}
        42:{1,2,4,6}:{(24,1),(29,1),(61,1),(64,1),(65,1),(102,1)}
        43:{1,2,5}:{(25,1),(62,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(63,1),(66,1)}
        45:{2,3,6}:{(27,1),(29,1),(34,1),(61,1),(68,1)}
        46:{2,3,5}:{(28,1),(35,1),(62,1),(69,1)}
        47:{2,3,4,7}:{(28,1),(36,1),(63,1),(68,1),(70,1),(108,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(68,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(77,1),(102,1),(117,1),(130,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(107,1),(133,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(108,1),(132,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,3,5,6}:{(34,1),(35,1),(37,1),(67,1),(77,1),(78,1),(80,1),(117,1)}
        56:{1,3,7}:{(34,1),(38,1),(68,1)}
        57:{1,4,5}:{(35,1),(69,1),(77,1)}
        58:{1,3,5,7}:{(35,1),(36,1),(39,1),(70,1),(79,1),(80,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(72,1),(78,1),(81,1)}
        60:{1,2,6}:{(39,1),(80,1)}
        61:{1,3,6}:{(40,1),(42,1),(45,1),(83,1)}
        62:{1,3,5}:{(41,1),(43,1),(46,1),(84,1)}
        63:{1,3,4,7}:{(41,1),(44,1),(47,1),(83,1),(85,1),(118,1)}
        64:{1,2,5,6}:{(42,1),(43,1),(48,1),(82,1),(86,1),(87,1)}
        65:{1,2,4,7}:{(42,1),(49,1),(83,1),(86,1),(118,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(85,1),(87,1)}
        67:{2,3,5,6}:{(45,1),(46,1),(48,1),(55,1),(82,1),(88,1),(89,1),(92,1),(93,1),(124,1)}
        68:{2,3,7}:{(45,1),(49,1),(56,1),(83,1)}
        69:{2,4,5}:{(46,1),(57,1),(84,1),(88,1),(90,1)}
        70:{2,3,5,7}:{(46,1),(47,1),(58,1),(85,1),(91,1),(92,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(88,1),(93,1),(94,1),(124,1),(137,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(99,1),(118,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(121,1),(136,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,6}:{(55,1),(57,1),(88,1),(99,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(99,1),(100,1),(128,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(91,1),(99,1),(101,1),(128,1)}
        80:{1,3,6}:{(58,1),(60,1),(92,1),(101,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(100,1)}
        82:{1,3,5,6}:{(61,1),(62,1),(64,1),(67,1),(102,1),(103,1),(105,1),(130,1)}
        83:{1,3,7}:{(61,1),(65,1),(68,1)}
        84:{1,4,5}:{(62,1),(69,1),(102,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(66,1),(70,1),(104,1),(105,1)}
        86:{1,2,5,7}:{(64,1),(65,1),(72,1),(103,1),(106,1)}
        87:{1,2,6}:{(66,1),(105,1)}
        88:{2,4,6}:{(67,1),(69,1),(77,1),(102,1),(107,1),(108,1)}
        89:{2,3,5,7}:{(67,1),(68,1),(72,1),(78,1),(103,1),(108,1),(109,1),(112,1),(132,1)}
        90:{3,4,5}:{(69,1),(107,1)}
        91:{2,4,5,7}:{(69,1),(70,1),(79,1),(104,1),(108,1),(110,1),(111,1),(132,1)}
        92:{2,3,6}:{(70,1),(80,1),(105,1),(111,1)}
        93:{3,5,6}:{(71,1),(107,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(108,1),(112,1),(113,1),(132,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(132,1)}
        99:{1,4,7}:{(77,1),(78,1),(108,1)}
       100:{1,3,6,7}:{(78,1),(80,1),(81,1),(109,1),(116,1)}
       101:{1,4,6}:{(79,1),(80,1),(111,1),(117,1)}
       102:{1,4,6}:{(82,1),(84,1),(88,1),(118,1)}
       103:{1,3,5,7}:{(82,1),(83,1),(86,1),(89,1),(118,1),(119,1),(135,1)}
       104:{1,4,5,7}:{(84,1),(85,1),(91,1),(118,1),(120,1),(135,1)}
       105:{1,3,6}:{(85,1),(87,1),(92,1),(120,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(119,1)}
       107:{3,4,6}:{(88,1),(90,1),(93,1),(121,1)}
       108:{2,4,7}:{(88,1),(89,1),(99,1),(118,1),(121,1)}
       109:{2,3,6,7}:{(89,1),(92,1),(95,1),(100,1),(119,1),(122,1),(125,1)}
       110:{3,4,5,7}:{(90,1),(91,1),(121,1),(123,1),(136,1)}
       111:{2,4,6}:{(91,1),(92,1),(101,1),(120,1),(123,1),(124,1)}
       112:{3,5,7}:{(93,1),(94,1),(121,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(136,1)}
       116:{1,4,6,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       117:{1,5,6}:{(101,1),(124,1),(128,1)}
       118:{1,4,7}:{(102,1),(103,1),(108,1)}
       119:{1,3,6,7}:{(103,1),(105,1),(106,1),(109,1),(129,1)}
       120:{1,4,6}:{(104,1),(105,1),(111,1),(130,1)}
       121:{3,4,7}:{(107,1),(108,1),(112,1)}
       122:{2,4,6,7}:{(108,1),(109,1),(111,1),(116,1),(129,1),(131,1),(132,1)}
       123:{3,4,6}:{(110,1),(111,1),(133,1)}
       124:{2,5,6}:{(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(132,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(132,1)}
       129:{1,4,6,7}:{(118,1),(119,1),(120,1),(122,1),(135,1)}
       130:{1,5,6}:{(120,1),(124,1),(135,1)}
       131:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(136,1),(138,1)}
       132:{2,5,7}:{(122,1),(124,1),(128,1),(135,1),(136,1)}
       133:{3,5,6}:{(123,1),(124,1),(136,1),(137,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(136,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(132,1)}
       136:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       137:{4,5,6}:{(133,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

1627 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(40,1),(43,1),(76,1),(83,1),(89,1),(90,1),(141,1),(181,1),(189,1),(220,1),(221,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(108,1),(118,1),(162,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(64,1),(66,1),(104,1),(112,1),(162,1),(170,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(57,1),(105,1),(111,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(44,1),(79,1),(133,1),(140,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(226,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(45,1),(90,1),(141,1),(189,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(192,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(35,1),(81,1),(83,1),(88,1),(89,1),(141,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(70,1),(102,1),(122,1),(156,1),(167,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(54,1),(58,1),(66,1),(102,1),(110,1),(167,1),(171,1),(209,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(57,1),(121,1),(233,1),(236,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(166,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(206,1),(212,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(111,1),(209,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(66,1),(112,1),(117,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(57,1),(69,1),(111,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(48,1),(74,1),(93,1),(140,1),(150,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(189,1),(218,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(32,1),(36,1),(37,1),(139,1),(189,1),(193,1)}
        21:{2,3,4,6}:{(14,1),(35,1),(38,1),(39,1),(81,1),(88,1),(143,1),(191,1),(226,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(82,1),(84,1),(144,1),(149,1),(192,1),(195,1)}
        23:{2,4,5}:{(11,1),(14,1),(35,1),(43,1),(83,1),(143,1)}
        24:{1,4,5,7}:{(12,1),(36,1),(40,1),(44,1),(133,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(37,1),(41,1),(44,1),(45,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,4,6}:{(14,1),(17,1),(43,1),(46,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(45,1),(48,1),(81,1),(141,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(46,1),(48,1),(49,1),(93,1),(95,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(83,1),(141,1)}
        31:{1,2,4,5,6}:{(33,1),(50,1),(73,1),(97,1),(129,1),(147,1),(152,1),(180,1),(189,1),(194,1),(196,1),(198,1),(218,1),(227,1),(244,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(166,1),(174,1)}
        33:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(53,1),(102,1),(106,1),(122,1),(161,1),(170,1),(174,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(209,1)}
        35:{2,3,5}:{(21,1),(23,1),(57,1),(211,1),(236,1)}
        36:{2,4,5,7}:{(20,1),(24,1),(51,1),(55,1),(58,1),(66,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(58,1),(109,1),(209,1),(212,1)}
        38:{2,3,4,7}:{(21,1),(26,1),(56,1),(60,1),(117,1),(169,1),(212,1)}
        39:{1,3,4,6}:{(21,1),(27,1),(57,1),(60,1),(61,1),(69,1),(105,1),(111,1),(121,1),(159,1),(203,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(62,1),(156,1),(166,1),(213,1)}
        41:{1,3,4,6}:{(22,1),(62,1),(63,1),(109,1),(111,1),(166,1),(209,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(26,1),(56,1),(63,1),(64,1),(66,1),(112,1),(169,1),(211,1)}
        43:{1,4,5}:{(23,1),(27,1),(57,1),(159,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(58,1),(62,1),(66,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,4,6}:{(27,1),(30,1),(61,1),(65,1),(68,1),(69,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(67,1),(70,1),(111,1)}
        49:{1,2,5,7}:{(29,1),(30,1),(68,1),(70,1),(112,1)}
        50:{1,3,5,6}:{(31,1),(53,1),(71,1),(72,1),(175,1),(200,1),(209,1),(217,1),(236,1)}
        51:{1,4,5,7}:{(32,1),(36,1),(73,1),(74,1),(93,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(37,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(50,1),(77,1),(78,1),(192,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{2,4,5,6}:{(36,1),(40,1),(73,1),(80,1),(89,1),(129,1),(139,1),(189,1),(227,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(42,1),(81,1),(82,1),(192,1)}
        57:{1,3,5}:{(35,1),(39,1),(43,1),(83,1),(221,1)}
        58:{3,5,7}:{(36,1),(37,1),(80,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(45,1),(75,1),(81,1),(85,1),(86,1),(136,1),(139,1),(146,1),(179,1),(191,1),(193,1),(226,1),(239,1)}
        60:{1,3,4,7}:{(38,1),(39,1),(46,1),(82,1),(87,1),(95,1),(135,1),(183,1)}
        61:{2,4,6}:{(39,1),(83,1),(87,1),(88,1),(141,1),(143,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(80,1),(89,1),(195,1)}
        63:{2,4,6}:{(41,1),(42,1),(81,1),(89,1),(90,1),(141,1)}
        64:{1,4,5,7}:{(42,1),(43,1),(46,1),(82,1),(90,1),(93,1),(183,1),(221,1)}
        65:{1,2,4,5}:{(43,1),(47,1),(83,1),(92,1),(143,1)}
        66:{2,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{1,4,6,7}:{(45,1),(46,1),(48,1),(90,1),(93,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(87,1),(95,1)}
        69:{1,3,6}:{(47,1),(88,1),(92,1),(95,1)}
        70:{1,2,6,7}:{(48,1),(49,1),(141,1)}
        71:{1,3,4,6}:{(50,1),(77,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(78,1),(97,1),(98,1),(129,1),(151,1),(179,1),(196,1),(199,1),(218,1)}
        73:{1,4,5,6}:{(51,1),(55,1),(99,1),(118,1),(166,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(58,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(61,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(71,1),(106,1),(174,1),(212,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(72,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{3,5,6}:{(55,1),(58,1),(109,1),(209,1),(236,1)}
        81:{2,3,6}:{(56,1),(63,1),(111,1),(209,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(60,1),(64,1),(111,1),(112,1)}
        83:{2,5}:{(57,1),(61,1)}
        84:{3,4,5,7}:{(58,1),(109,1),(114,1),(212,1),(236,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(66,1),(102,1),(110,1),(114,1),(115,1),(211,1),(236,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(60,1),(67,1),(103,1),(111,1),(115,1),(116,1),(123,1),(163,1),(164,1),(166,1),(173,1),(174,1),(200,1),(203,1),(206,1),(209,1),(212,1),(232,1),(242,1)}
        87:{2,4,7}:{(60,1),(61,1),(112,1),(117,1)}
        88:{2,3,6}:{(61,1),(69,1),(105,1),(113,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(211,1)}
        90:{1,4,6}:{(63,1),(64,1),(111,1),(118,1)}
        91:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(112,1),(119,1),(120,1),(122,1),(169,1),(170,1),(174,1),(211,1),(213,1)}
        92:{1,3,5}:{(65,1),(69,1),(113,1),(121,1)}
        93:{1,5,7}:{(66,1),(67,1),(118,1)}
        94:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(116,1),(119,1),(122,1),(123,1),(174,1),(207,1),(230,1),(242,1)}
        95:{1,3,7}:{(68,1),(69,1),(117,1)}
        96:{1,3,4,5}:{(71,1),(124,1),(175,1),(213,1),(216,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(106,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(107,1),(126,1),(127,1),(156,1),(175,1),(178,1),(200,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(80,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(83,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(84,1),(96,1),(128,1),(132,1),(144,1),(184,1),(192,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(87,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(88,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(97,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(98,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{3,4,6}:{(80,1),(84,1),(139,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(179,1)}
       111:{1,3,6}:{(81,1),(82,1),(90,1),(141,1)}
       112:{2,5,7}:{(82,1),(83,1),(87,1),(141,1)}
       113:{2,3,5}:{(83,1),(88,1),(92,1),(131,1),(143,1)}
       114:{2,4,5,7}:{(84,1),(85,1),(139,1),(144,1),(193,1),(227,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(93,1),(133,1),(140,1),(144,1),(145,1),(192,1),(195,1),(221,1),(240,1),(244,1)}
       116:{2,4,6,7}:{(86,1),(87,1),(141,1),(145,1),(146,1),(187,1),(189,1),(191,1),(193,1),(218,1),(239,1)}
       117:{2,3,7}:{(87,1),(88,1),(95,1),(135,1)}
       118:{1,5,6}:{(89,1),(90,1),(93,1),(221,1)}
       119:{1,2,4,6}:{(90,1),(91,1),(141,1),(147,1),(148,1),(189,1),(191,1),(194,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(142,1),(148,1),(149,1),(192,1),(195,1)}
       121:{1,3,4}:{(92,1),(143,1)}
       122:{1,2,5,7}:{(93,1),(94,1),(145,1),(147,1),(150,1),(244,1)}
       123:{1,3,6,7}:{(94,1),(95,1),(146,1),(148,1),(150,1),(225,1),(238,1)}
       124:{2,4,5}:{(96,1),(97,1),(151,1),(152,1),(196,1),(229,1)}
       125:{2,3,4,6}:{(97,1),(136,1),(151,1),(153,1),(179,1),(199,1),(226,1),(229,1),(239,1)}
       126:{1,4,6}:{(97,1),(98,1),(137,1),(152,1)}
       127:{1,2,5,6}:{(98,1),(138,1),(154,1),(196,1),(218,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(109,1),(155,1),(166,1),(200,1),(209,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(112,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(113,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(124,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(116,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(117,1)}
       136:{2,3,4,7}:{(106,1),(125,1),(160,1),(164,1),(208,1),(212,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(126,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(127,1),(165,1),(204,1)}
       139:{2,4,6}:{(109,1),(110,1),(114,1),(166,1)}
       140:{1,3,5,6}:{(110,1),(111,1),(115,1),(118,1),(156,1),(166,1),(167,1),(200,1),(209,1)}
       141:{2,6}:{(111,1),(112,1)}
       142:{2,3,5,7}:{(112,1),(113,1),(117,1),(120,1),(158,1),(168,1),(169,1),(211,1)}
       143:{2,4}:{(113,1),(121,1),(159,1)}
       144:{1,4,5,7}:{(114,1),(115,1),(166,1),(170,1),(174,1),(206,1),(213,1),(233,1)}
       145:{2,5,7}:{(115,1),(116,1),(167,1),(211,1),(243,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(163,1),(168,1),(171,1),(208,1),(209,1),(231,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(122,1),(167,1),(172,1),(211,1),(230,1)}
       148:{1,3,6}:{(119,1),(120,1),(168,1),(209,1)}
       149:{1,3,4,7}:{(120,1),(121,1),(169,1),(173,1),(174,1),(212,1)}
       150:{1,3,5,7}:{(122,1),(123,1),(171,1),(172,1),(174,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,4,5}:{(124,1),(126,1),(175,1),(237,1)}
       153:{1,3,4,6}:{(125,1),(126,1),(164,1),(175,1),(177,1),(178,1),(200,1),(216,1),(217,1),(237,1),(242,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(165,1),(176,1),(177,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(141,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(142,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(143,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(151,1),(179,1),(184,1),(192,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(152,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(145,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(146,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(153,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(154,1),(187,1),(188,1)}
       166:{1,4,6}:{(139,1),(140,1),(144,1),(189,1)}
       167:{2,5,6}:{(140,1),(141,1),(145,1),(189,1),(218,1)}
       168:{2,3,6}:{(141,1),(142,1),(148,1),(182,1),(191,1)}
       169:{2,4,7}:{(142,1),(143,1),(149,1),(183,1),(191,1)}
       170:{2,4,5,7}:{(144,1),(145,1),(189,1),(192,1),(193,1),(227,1)}
       171:{2,3,5,7}:{(145,1),(146,1),(150,1),(186,1),(190,1),(192,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(150,1),(190,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(191,1),(194,1),(195,1),(226,1)}
       174:{1,4,7}:{(150,1),(193,1),(194,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(196,1),(244,1)}
       176:{1,2,4,5}:{(152,1),(154,1),(196,1),(197,1),(229,1)}
       177:{2,4,6}:{(153,1),(187,1),(196,1),(199,1),(218,1),(229,1)}
       178:{1,3,6}:{(154,1),(188,1),(197,1),(199,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(209,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(167,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(168,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(169,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(175,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(170,1),(176,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(171,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(177,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(178,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(209,1)}
       190:{2,3,5,6}:{(167,1),(168,1),(171,1),(172,1),(202,1),(209,1),(210,1),(211,1),(231,1),(236,1),(243,1)}
       191:{2,4,6}:{(168,1),(169,1),(173,1),(203,1),(211,1)}
       192:{3,5,7}:{(170,1),(209,1),(212,1),(236,1)}
       193:{2,4,7}:{(171,1),(174,1),(206,1),(210,1),(212,1)}
       194:{1,4,6}:{(172,1),(174,1),(210,1),(213,1)}
       195:{1,3,5}:{(173,1),(211,1),(213,1),(236,1)}
       196:{2,5}:{(175,1),(177,1)}
       197:{1,3,5}:{(176,1),(178,1),(215,1),(216,1)}
       198:{1,2,4,6}:{(177,1),(207,1),(214,1),(217,1),(230,1),(237,1),(242,1)}
       199:{2,3,6}:{(177,1),(178,1),(208,1),(215,1),(217,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(189,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(190,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(191,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(196,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(192,1),(197,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(193,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(198,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(199,1),(225,1)}
       209:{3,6}:{(189,1),(192,1)}
       210:{2,4,6}:{(190,1),(193,1),(194,1),(220,1),(226,1),(227,1)}
       211:{2,5}:{(191,1),(195,1),(221,1)}
       212:{3,4,7}:{(192,1),(193,1),(226,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(198,1),(228,1),(244,1)}
       215:{2,3,5}:{(196,1),(197,1),(199,1),(228,1),(229,1)}
       216:{1,3,4}:{(197,1),(229,1)}
       217:{1,3,6}:{(198,1),(199,1),(225,1),(228,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(209,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(210,1),(233,1)}
       221:{1,5}:{(203,1),(211,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(214,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(215,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(212,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(217,1)}
       226:{3,4,6}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4,5}:{(210,1),(211,1),(213,1),(233,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(217,1),(237,1)}
       229:{2,4}:{(215,1),(216,1),(237,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(226,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(227,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(228,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(229,1),(239,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(236,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(237,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1628 :   0:{1,2,5,6,7}:{(1,1),(2,1),(46,1),(86,1),(97,1),(141,1),(150,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(60,1),(111,1),(121,1),(170,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(126,1),(177,1),(181,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(26,1),(33,1),(69,1),(77,1),(126,1),(133,1),(135,1),(167,1),(177,1),(181,1),(214,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(82,1),(100,1),(138,1),(150,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(46,1),(82,1),(92,1),(150,1),(152,1),(202,1)}
         6:{1,4,6,7}:{(1,1),(13,1),(14,1),(149,1),(195,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(46,1),(48,1),(99,1),(141,1),(151,1),(156,1),(159,1),(195,1)}
         8:{1,3,6,7}:{(2,1),(16,1),(17,1),(153,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1),(19,1),(104,1),(153,1),(164,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(22,1),(31,1),(56,1),(71,1),(121,1),(130,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(57,1),(166,1),(177,1),(212,1)}
        12:{1,2,4,5,6}:{(21,1),(23,1),(55,1),(62,1),(109,1),(117,1),(127,1),(166,1),(173,1),(175,1),(177,1),(183,1),(212,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,4,5,7}:{(6,1),(24,1),(26,1),(27,1),(111,1)}
        15:{1,3,4,6,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(30,1),(179,1),(187,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(30,1),(31,1),(125,1),(181,1)}
        18:{1,3,4,6}:{(9,1),(29,1),(32,1),(33,1),(214,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(34,1),(69,1),(76,1),(125,1),(133,1),(136,1),(181,1)}
        20:{1,4,6,7}:{(10,1),(13,1),(35,1),(149,1),(158,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(82,1),(84,1),(100,1),(140,1),(151,1),(158,1),(193,1),(196,1)}
        22:{1,3,6,7}:{(11,1),(37,1),(38,1),(190,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(37,1),(39,1),(40,1),(145,1),(190,1),(201,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(14,1),(35,1),(41,1),(42,1),(46,1),(82,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(204,1)}
        26:{1,4,5,6}:{(14,1),(41,1),(44,1),(138,1),(149,1),(208,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(42,1),(44,1),(46,1)}
        28:{2,4,6,7}:{(15,1),(17,1),(46,1),(47,1),(48,1),(96,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(48,1),(195,1),(204,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(48,1),(49,1),(156,1),(160,1)}
        31:{1,3,6,7}:{(17,1),(47,1),(49,1),(50,1),(153,1)}
        32:{1,3,4,5}:{(18,1),(51,1),(104,1),(163,1),(230,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(48,1),(51,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(49,1),(53,1),(54,1),(97,1),(104,1),(107,1),(153,1)}
        35:{1,4,5,7}:{(20,1),(24,1),(55,1),(56,1),(71,1)}
        36:{1,3,4,6,7}:{(20,1),(22,1),(25,1),(56,1),(57,1),(58,1),(108,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(23,1),(58,1),(59,1),(179,1),(218,1)}
        38:{2,3,6,7}:{(22,1),(57,1),(59,1),(60,1),(165,1),(212,1)}
        39:{1,3,4,6}:{(23,1),(58,1),(61,1),(62,1),(183,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(62,1),(63,1),(109,1),(116,1),(165,1),(173,1),(176,1),(212,1)}
        41:{2,4,5,6}:{(24,1),(26,1),(55,1),(64,1),(69,1),(109,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(64,1)}
        43:{2,3,4,6,7}:{(25,1),(28,1),(57,1),(66,1),(67,1),(73,1),(113,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(224,1),(238,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(64,1),(68,1),(69,1),(225,1)}
        45:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(65,1),(68,1),(70,1),(122,1),(128,1),(179,1),(186,1),(225,1)}
        46:{2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        47:{1,4,6,7}:{(28,1),(31,1),(71,1),(74,1),(126,1)}
        48:{2,4,7}:{(29,1),(30,1),(33,1),(74,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(34,1),(71,1),(74,1),(75,1),(132,1)}
        50:{1,2,6,7}:{(31,1),(75,1),(181,1)}
        51:{2,4,5}:{(32,1),(33,1),(76,1),(77,1),(133,1),(189,1)}
        52:{2,3,4,6}:{(33,1),(73,1),(76,1),(78,1),(125,1),(136,1),(189,1),(221,1),(224,1)}
        53:{1,4,6}:{(33,1),(34,1),(74,1),(77,1)}
        54:{1,2,5,6}:{(34,1),(75,1),(79,1),(133,1),(181,1)}
        55:{1,4,5,6}:{(35,1),(41,1),(80,1),(97,1),(149,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(42,1),(80,1),(82,1)}
        57:{2,4,6,7}:{(36,1),(38,1),(82,1),(83,1),(84,1),(137,1)}
        58:{1,3,4,7}:{(37,1),(39,1),(84,1),(158,1),(204,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(40,1),(82,1),(84,1),(85,1),(193,1),(197,1)}
        60:{1,3,6,7}:{(38,1),(83,1),(85,1),(86,1),(190,1)}
        61:{1,3,4,5}:{(39,1),(87,1),(145,1),(200,1),(208,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(84,1),(87,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(85,1),(89,1),(90,1),(138,1),(145,1),(148,1),(190,1)}
        64:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        65:{3,4,5,7}:{(42,1),(91,1),(93,1),(204,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(46,1),(82,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(47,1),(83,1),(94,1),(95,1),(101,1),(102,1),(142,1),(143,1),(149,1),(153,1),(158,1),(190,1),(195,1),(202,1),(204,1),(207,1),(229,1),(235,1),(242,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(91,1),(96,1),(149,1),(153,1),(202,1)}
        69:{2,5,6}:{(44,1),(46,1),(96,1),(97,1),(236,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(48,1),(51,1),(96,1),(98,1),(99,1),(156,1),(210,1),(236,1)}
        71:{1,5,7}:{(46,1),(47,1),(97,1)}
        72:{1,2,4,6,7}:{(47,1),(50,1),(95,1),(100,1),(101,1),(103,1),(154,1),(158,1),(196,1),(227,1),(242,1)}
        73:{2,3,4,7}:{(48,1),(52,1),(98,1),(102,1),(160,1),(204,1),(210,1)}
        74:{1,4,7}:{(48,1),(49,1),(53,1)}
        75:{1,2,5,7}:{(49,1),(50,1),(54,1),(103,1),(156,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,4,5}:{(51,1),(53,1),(104,1),(211,1)}
        78:{1,3,4,6}:{(52,1),(53,1),(102,1),(104,1),(106,1),(107,1),(153,1),(163,1),(164,1),(211,1),(235,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(103,1),(105,1),(106,1),(107,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(109,1),(239,1)}
        81:{1,3,4,5,7}:{(56,1),(58,1),(61,1),(65,1),(108,1),(110,1),(122,1),(168,1),(179,1),(217,1),(239,1)}
        82:{2,5,7}:{(56,1),(57,1),(109,1),(111,1)}
        83:{1,4,6,7}:{(57,1),(60,1),(111,1),(114,1),(166,1)}
        84:{2,4,7}:{(58,1),(59,1),(62,1),(114,1)}
        85:{1,3,5,7}:{(59,1),(60,1),(63,1),(111,1),(114,1),(115,1),(172,1)}
        86:{1,2,6,7}:{(60,1),(115,1),(212,1)}
        87:{2,4,5}:{(61,1),(62,1),(116,1),(117,1),(173,1),(220,1)}
        88:{2,3,4,6}:{(62,1),(113,1),(116,1),(118,1),(165,1),(176,1),(220,1),(221,1),(238,1)}
        89:{1,4,6}:{(62,1),(63,1),(114,1),(117,1)}
        90:{1,2,5,6}:{(63,1),(115,1),(119,1),(173,1),(212,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,3,5,6}:{(64,1),(66,1),(69,1),(109,1),(120,1),(121,1),(125,1),(165,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(120,1),(122,1),(180,1),(222,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(71,1),(111,1),(121,1),(122,1),(123,1),(179,1),(225,1),(239,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(131,1),(171,1),(177,1),(180,1),(181,1),(212,1),(224,1),(238,1)}
        96:{2,4,6}:{(68,1),(69,1),(70,1),(125,1),(126,1),(181,1)}
        97:{1,5,6}:{(69,1),(71,1),(126,1),(241,1)}
        98:{2,3,5,7}:{(70,1),(73,1),(76,1),(125,1),(128,1),(179,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(77,1),(126,1),(128,1),(226,1),(241,1)}
       100:{1,2,5,7}:{(71,1),(72,1),(123,1),(127,1),(130,1),(244,1)}
       101:{1,3,6,7}:{(72,1),(124,1),(130,1),(132,1),(182,1),(218,1),(237,1)}
       102:{1,3,4,7}:{(73,1),(74,1),(78,1),(128,1),(131,1),(132,1),(187,1),(226,1)}
       103:{1,2,4,7}:{(74,1),(75,1),(79,1),(131,1),(132,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(133,1),(241,1)}
       105:{1,2,4,5}:{(77,1),(79,1),(133,1),(134,1),(189,1)}
       106:{2,4,6}:{(78,1),(131,1),(133,1),(136,1),(181,1),(189,1)}
       107:{1,3,6}:{(79,1),(132,1),(134,1),(136,1)}
       108:{1,3,4,6}:{(80,1),(81,1),(91,1),(137,1),(149,1),(190,1),(202,1)}
       109:{2,5,6}:{(80,1),(82,1),(137,1),(138,1),(243,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(84,1),(87,1),(137,1),(139,1),(140,1),(193,1),(232,1),(243,1)}
       111:{1,5,7}:{(82,1),(83,1),(138,1)}
       112:{1,2,4,6,7}:{(83,1),(86,1),(95,1),(141,1),(142,1),(144,1),(159,1),(191,1),(195,1),(205,1),(235,1)}
       113:{2,3,4,7}:{(84,1),(88,1),(139,1),(143,1),(197,1),(204,1),(232,1)}
       114:{1,4,7}:{(84,1),(85,1),(89,1)}
       115:{1,2,5,7}:{(85,1),(86,1),(90,1),(144,1),(193,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,4,5}:{(87,1),(89,1),(145,1),(233,1)}
       118:{1,3,4,6}:{(88,1),(89,1),(143,1),(145,1),(147,1),(148,1),(190,1),(200,1),(201,1),(233,1),(242,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(144,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(94,1),(97,1),(138,1),(149,1),(150,1),(153,1),(190,1),(202,1)}
       122:{1,4,5,7}:{(93,1),(94,1),(149,1),(151,1),(158,1),(195,1),(208,1),(230,1)}
       123:{2,5,7}:{(94,1),(95,1),(150,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(101,1),(142,1),(152,1),(160,1),(197,1),(202,1),(206,1),(228,1)}
       125:{2,3,6}:{(96,1),(98,1),(153,1),(202,1)}
       126:{1,4,6}:{(96,1),(97,1),(99,1),(153,1)}
       127:{1,2,5,6}:{(97,1),(100,1),(150,1),(154,1),(155,1),(227,1),(236,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(102,1),(104,1),(153,1),(156,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(151,1),(154,1),(156,1),(157,1),(158,1),(208,1),(210,1),(236,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(152,1),(155,1),(158,1)}
       131:{2,4,7}:{(102,1),(106,1),(156,1),(160,1)}
       132:{1,3,7}:{(103,1),(107,1),(160,1)}
       133:{2,5}:{(104,1),(106,1)}
       134:{1,3,5}:{(105,1),(107,1),(162,1),(163,1)}
       135:{1,2,4,6}:{(106,1),(159,1),(161,1),(164,1),(205,1),(211,1),(235,1)}
       136:{2,3,6}:{(106,1),(107,1),(160,1),(162,1),(164,1)}
       137:{2,4,6}:{(108,1),(109,1),(110,1),(165,1),(166,1),(212,1)}
       138:{1,5,6}:{(109,1),(111,1),(166,1),(244,1)}
       139:{2,3,5,7}:{(110,1),(113,1),(116,1),(165,1),(168,1),(179,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(117,1),(166,1),(168,1),(240,1),(244,1)}
       141:{1,2,5,7}:{(111,1),(112,1),(123,1),(167,1),(170,1),(241,1)}
       142:{1,3,6,7}:{(112,1),(124,1),(170,1),(172,1),(187,1),(213,1),(223,1)}
       143:{1,3,4,7}:{(113,1),(114,1),(118,1),(168,1),(171,1),(172,1),(218,1),(240,1)}
       144:{1,2,4,7}:{(114,1),(115,1),(119,1),(171,1),(172,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(173,1),(244,1)}
       146:{1,2,4,5}:{(117,1),(119,1),(173,1),(174,1),(220,1)}
       147:{2,4,6}:{(118,1),(171,1),(173,1),(176,1),(212,1),(220,1)}
       148:{1,3,6}:{(119,1),(172,1),(174,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,5,6}:{(121,1),(123,1),(177,1),(181,1),(212,1)}
       151:{2,4,5,7}:{(122,1),(123,1),(177,1),(179,1),(180,1),(222,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(130,1),(170,1),(178,1),(179,1),(180,1)}
       153:{1,3,6}:{(125,1),(126,1),(128,1),(181,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(129,1),(177,1),(181,1),(182,1),(183,1),(224,1)}
       155:{1,3,5,6}:{(127,1),(130,1),(178,1),(182,1),(183,1),(225,1),(237,1),(244,1)}
       156:{2,5,7}:{(128,1),(131,1),(133,1),(181,1)}
       157:{1,3,5,7}:{(129,1),(132,1),(134,1),(179,1),(182,1),(185,1),(186,1),(225,1)}
       158:{1,4,7}:{(130,1),(180,1),(183,1)}
       159:{1,2,4,7}:{(131,1),(135,1),(184,1),(187,1),(226,1)}
       160:{2,3,7}:{(131,1),(132,1),(136,1),(187,1)}
       161:{1,2,5}:{(133,1),(135,1),(188,1),(241,1)}
       162:{2,3,5}:{(133,1),(134,1),(136,1),(188,1),(189,1)}
       163:{1,3,4}:{(134,1),(189,1)}
       164:{1,3,6}:{(135,1),(136,1),(187,1),(188,1)}
       165:{2,3,6}:{(137,1),(139,1),(190,1),(202,1)}
       166:{1,4,6}:{(137,1),(138,1),(140,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(141,1),(150,1),(191,1),(192,1),(205,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(143,1),(145,1),(190,1),(193,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(144,1),(146,1),(151,1),(191,1),(193,1),(194,1),(195,1),(230,1),(232,1),(243,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(152,1),(192,1),(195,1)}
       171:{2,4,7}:{(143,1),(147,1),(193,1),(197,1)}
       172:{1,3,7}:{(144,1),(148,1),(197,1)}
       173:{2,5}:{(145,1),(147,1)}
       174:{1,3,5}:{(146,1),(148,1),(199,1),(200,1)}
       175:{1,2,4,6}:{(147,1),(196,1),(198,1),(201,1),(227,1),(233,1),(242,1)}
       176:{2,3,6}:{(147,1),(148,1),(197,1),(199,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{2,3,5,6}:{(150,1),(152,1),(155,1),(192,1),(202,1),(203,1),(206,1),(228,1),(234,1),(236,1),(243,1)}
       179:{3,5,7}:{(151,1),(202,1),(204,1),(234,1)}
       180:{2,4,7}:{(152,1),(158,1),(195,1),(203,1),(204,1)}
       181:{2,6}:{(153,1),(156,1)}
       182:{1,3,6}:{(154,1),(157,1),(202,1),(206,1)}
       183:{1,4,6}:{(155,1),(158,1),(203,1),(208,1)}
       184:{1,2,5,7}:{(156,1),(159,1),(161,1),(205,1),(209,1)}
       185:{2,3,5,7}:{(156,1),(157,1),(160,1),(162,1),(206,1),(209,1),(210,1),(236,1)}
       186:{1,3,4,7}:{(157,1),(158,1),(163,1),(204,1),(207,1),(210,1)}
       187:{1,3,7}:{(159,1),(160,1),(164,1)}
       188:{1,3,5}:{(161,1),(162,1),(164,1),(211,1)}
       189:{2,4}:{(162,1),(163,1),(211,1)}
       190:{1,3,6}:{(165,1),(166,1),(168,1),(212,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(169,1),(177,1),(212,1),(213,1),(214,1),(238,1)}
       192:{1,3,5,6}:{(167,1),(170,1),(178,1),(213,1),(214,1),(223,1),(239,1),(241,1)}
       193:{2,5,7}:{(168,1),(171,1),(173,1),(212,1)}
       194:{1,3,5,7}:{(169,1),(172,1),(174,1),(179,1),(213,1),(216,1),(217,1),(239,1)}
       195:{1,4,7}:{(170,1),(180,1),(214,1)}
       196:{1,2,4,7}:{(171,1),(175,1),(215,1),(218,1),(240,1)}
       197:{2,3,7}:{(171,1),(172,1),(176,1),(218,1)}
       198:{1,2,5}:{(173,1),(175,1),(219,1),(244,1)}
       199:{2,3,5}:{(173,1),(174,1),(176,1),(219,1),(220,1)}
       200:{1,3,4}:{(174,1),(220,1)}
       201:{1,3,6}:{(175,1),(176,1),(218,1),(219,1)}
       202:{3,6}:{(177,1),(179,1)}
       203:{2,4,6}:{(178,1),(180,1),(183,1),(214,1),(221,1),(222,1)}
       204:{3,4,7}:{(179,1),(180,1),(221,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{2,3,6}:{(181,1),(182,1),(185,1),(223,1),(224,1)}
       207:{1,3,4,6}:{(182,1),(183,1),(186,1),(221,1),(224,1),(225,1)}
       208:{1,4,5}:{(183,1),(222,1),(225,1),(244,1)}
       209:{1,3,5,7}:{(184,1),(185,1),(187,1),(188,1),(223,1),(226,1),(241,1)}
       210:{2,4,7}:{(185,1),(186,1),(189,1),(224,1),(226,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{2,6}:{(190,1),(193,1)}
       213:{1,3,6}:{(191,1),(194,1),(202,1),(228,1)}
       214:{1,4,6}:{(192,1),(195,1),(203,1),(230,1)}
       215:{1,2,5,7}:{(193,1),(196,1),(198,1),(227,1),(231,1)}
       216:{2,3,5,7}:{(193,1),(194,1),(197,1),(199,1),(228,1),(231,1),(232,1),(243,1)}
       217:{1,3,4,7}:{(194,1),(195,1),(200,1),(204,1),(229,1),(232,1)}
       218:{1,3,7}:{(196,1),(197,1),(201,1)}
       219:{1,3,5}:{(198,1),(199,1),(201,1),(233,1)}
       220:{2,4}:{(199,1),(200,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(203,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(209,1),(235,1)}
       224:{2,4,6}:{(206,1),(207,1),(210,1),(235,1),(236,1)}
       225:{1,3,5}:{(207,1),(208,1),(234,1),(236,1)}
       226:{1,4,7}:{(209,1),(210,1),(211,1),(235,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{2,3,6}:{(212,1),(213,1),(216,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(213,1),(214,1),(217,1),(221,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(222,1),(239,1),(241,1)}
       231:{1,3,5,7}:{(215,1),(216,1),(218,1),(219,1),(237,1),(240,1),(244,1)}
       232:{2,4,7}:{(216,1),(217,1),(220,1),(238,1),(240,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(226,1),(241,1)}
       236:{2,5}:{(224,1),(225,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(231,1),(242,1)}
       238:{2,4,6}:{(228,1),(229,1),(232,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(234,1),(243,1)}
       240:{1,4,7}:{(231,1),(232,1),(233,1),(242,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1629 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1630 :   0:{1,2,3,6,7}:{(2,1),(3,1),(47,1),(111,1),(175,1),(180,1),(386,1),(420,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(47,1),(51,1),(91,1),(180,1),(272,1),(303,1),(309,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(25,1),(79,1),(332,1),(368,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(151,1),(235,1),(241,1),(355,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(71,1),(135,1),(465,1)}
         5:{1,3,4,6,7}:{(3,1),(10,1),(11,1),(12,1),(39,1),(47,1),(176,1),(297,1),(302,1),(308,1),(420,1),(501,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(12,1),(108,1),(501,1)}
         7:{1,2,5,7}:{(3,1),(11,1),(14,1),(202,1),(303,1)}
         8:{1,3,4,6}:{(4,1),(12,1),(15,1),(16,1),(47,1),(187,1),(309,1)}
         9:{1,2,4,5}:{(4,1),(16,1),(42,1),(303,1),(417,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(24,1),(61,1),(75,1),(126,1),(140,1),(151,1),(237,1),(247,1),(252,1),(374,1),(469,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(363,1),(365,1)}
        12:{1,3,4,7}:{(6,1),(8,1),(24,1),(25,1),(368,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(21,1),(25,1),(26,1),(66,1)}
        14:{1,2,5,6}:{(7,1),(22,1),(26,1),(146,1),(355,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(71,1),(75,1),(141,1),(258,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(32,1),(64,1),(71,1),(122,1),(146,1),(218,1),(249,1),(364,1),(369,1),(465,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(44,1),(98,1),(178,1),(298,1),(322,1),(529,1)}
        19:{1,3,4,6,7}:{(10,1),(34,1),(35,1),(45,1),(85,1),(89,1),(110,1),(178,1),(199,1),(205,1),(322,1),(426,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(191,1),(202,1),(305,1),(313,1)}
        21:{1,4,5,7}:{(11,1),(36,1),(39,1),(417,1),(501,1)}
        22:{1,3,5,6}:{(11,1),(14,1),(37,1),(39,1),(47,1),(297,1),(304,1)}
        23:{1,3,4,5}:{(16,1),(42,1),(43,1),(417,1),(421,1)}
        24:{2,3,4,7}:{(12,1),(15,1),(45,1),(46,1),(108,1),(318,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(39,1),(47,1),(103,1)}
        27:{1,2,5,6,7}:{(14,1),(40,1),(48,1),(202,1),(283,1),(392,1),(409,1),(419,1)}
        28:{1,2,3,6}:{(41,1),(44,1),(49,1),(206,1)}
        29:{1,3,4,6}:{(15,1),(45,1),(49,1),(50,1),(105,1),(107,1),(110,1),(206,1)}
        30:{2,3,5}:{(15,1),(16,1),(42,1),(50,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(43,1),(47,1),(51,1),(52,1),(309,1),(422,1)}
        32:{1,2,4,5,7}:{(17,1),(48,1),(52,1),(100,1),(108,1),(171,1),(202,1),(280,1),(310,1),(419,1),(423,1),(501,1)}
        33:{1,2,3,5,7}:{(18,1),(55,1),(56,1),(57,1),(127,1),(354,1),(376,1),(523,1),(547,1)}
        34:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(73,1),(128,1),(145,1),(155,1),(247,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(57,1),(58,1),(59,1),(260,1),(262,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(58,1),(60,1),(61,1),(371,1),(469,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(59,1),(61,1),(75,1),(136,1),(146,1),(237,1),(242,1)}
        38:{1,3,4,5,7}:{(21,1),(23,1),(25,1),(60,1),(66,1),(67,1),(72,1),(147,1)}
        39:{1,4,6}:{(21,1),(22,1),(61,1)}
        40:{1,3,5,6,7}:{(22,1),(27,1),(62,1),(68,1),(76,1),(147,1),(356,1),(365,1),(466,1)}
        41:{1,2,3,5}:{(28,1),(69,1),(77,1),(152,1)}
        42:{2,4,5}:{(23,1),(30,1),(70,1),(71,1)}
        43:{1,3,4,6}:{(23,1),(31,1),(71,1),(72,1),(465,1),(467,1)}
        44:{1,2,3,7}:{(28,1),(73,1),(265,1)}
        45:{1,3,4,7}:{(24,1),(29,1),(73,1),(74,1),(154,1),(265,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(30,1),(66,1),(74,1),(75,1)}
        47:{1,3,6}:{(25,1),(26,1),(75,1)}
        48:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(68,1),(76,1),(151,1),(225,1),(338,1),(440,1)}
        49:{1,2,4,6}:{(28,1),(29,1),(69,1),(73,1),(77,1),(155,1)}
        50:{1,3,5}:{(29,1),(30,1),(70,1),(77,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(71,1),(75,1),(78,1),(79,1),(146,1),(218,1),(258,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(72,1),(76,1),(79,1),(368,1),(468,1)}
        53:{1,2,3,5,6}:{(41,1),(80,1),(81,1),(98,1),(112,1),(169,1),(200,1),(206,1),(279,1),(282,1),(285,1),(320,1)}
        54:{1,3,4,5,6}:{(43,1),(82,1),(83,1),(99,1),(162,1),(189,1),(287,1),(311,1),(398,1),(422,1)}
        55:{1,2,3,5,6}:{(33,1),(84,1),(87,1),(98,1),(173,1),(178,1),(200,1),(294,1),(320,1),(400,1),(495,1),(536,1)}
        56:{1,2,4,7}:{(33,1),(84,1),(85,1),(406,1),(426,1)}
        57:{1,2,5,7}:{(34,1),(35,1),(87,1),(200,1),(305,1)}
        58:{1,4,5,7}:{(35,1),(36,1),(89,1),(319,1),(426,1)}
        59:{1,3,5,6}:{(35,1),(37,1),(87,1),(89,1),(110,1),(178,1),(201,1)}
        60:{3,4,5,7}:{(36,1),(94,1),(191,1),(421,1),(502,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(89,1),(94,1)}
        62:{2,3,5,6,7}:{(37,1),(40,1),(90,1),(95,1),(111,1),(191,1),(202,1),(298,1),(305,1),(392,1),(425,1),(482,1)}
        63:{2,3,4,5}:{(42,1),(96,1),(97,1),(196,1),(278,1),(421,1)}
        64:{1,4,5,6}:{(39,1),(92,1),(99,1),(100,1),(304,1)}
        65:{1,2,3,5,7}:{(41,1),(44,1),(98,1),(101,1),(109,1),(200,1),(203,1),(377,1),(400,1),(471,1)}
        66:{2,4,5,7}:{(38,1),(42,1),(46,1),(102,1),(103,1),(108,1),(202,1)}
        67:{1,3,4,6}:{(38,1),(39,1),(47,1),(94,1),(99,1),(103,1)}
        68:{1,4,6,7}:{(39,1),(40,1),(95,1),(100,1),(501,1)}
        69:{1,2,4}:{(41,1),(105,1)}
        70:{1,4,5}:{(42,1),(50,1),(107,1)}
        71:{2,4,6}:{(42,1),(43,1),(51,1),(107,1),(108,1)}
        72:{1,3,4,7}:{(43,1),(52,1),(108,1),(501,1),(502,1)}
        73:{1,2,4,7}:{(44,1),(45,1),(49,1),(109,1)}
        74:{1,3,5,7}:{(45,1),(46,1),(50,1),(102,1),(109,1),(110,1)}
        75:{2,3,6}:{(46,1),(47,1),(103,1),(110,1)}
        76:{1,3,6,7}:{(47,1),(48,1),(52,1),(111,1),(482,1)}
        77:{1,2,5}:{(49,1),(50,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(107,1),(110,1),(112,1),(113,1),(201,1),(206,1)}
        79:{2,3,5,7}:{(51,1),(52,1),(108,1),(111,1),(113,1),(202,1),(280,1),(318,1)}
        80:{1,2,3,5,7}:{(53,1),(116,1),(118,1),(157,1),(221,1),(223,1),(265,1),(340,1),(376,1)}
        81:{1,2,4,6}:{(53,1),(69,1),(118,1),(120,1),(121,1),(339,1),(375,1)}
        82:{2,4,5,6}:{(54,1),(71,1),(115,1),(122,1),(123,1),(146,1),(218,1),(339,1),(443,1)}
        83:{1,3,4,5,7}:{(54,1),(72,1),(119,1),(123,1),(147,1),(219,1),(251,1),(346,1),(370,1),(447,1),(468,1)}
        84:{1,2,4,6}:{(55,1),(56,1),(124,1),(125,1),(350,1),(375,1),(448,1)}
        85:{1,3,4,7}:{(56,1),(124,1),(126,1),(127,1),(547,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(125,1),(127,1),(128,1),(132,1)}
        87:{1,2,5,6}:{(57,1),(59,1),(128,1),(155,1),(242,1)}
        88:{1,3,4,5,7}:{(58,1),(60,1),(127,1),(132,1),(133,1),(229,1),(243,1),(351,1)}
        89:{1,4,6}:{(58,1),(59,1),(61,1)}
        90:{1,3,5,6,7}:{(59,1),(62,1),(129,1),(134,1),(156,1),(238,1),(243,1),(262,1),(376,1)}
        91:{1,2,3,5}:{(114,1),(135,1),(213,1),(248,1)}
        92:{2,4,5,6}:{(61,1),(64,1),(130,1),(136,1),(137,1),(146,1),(242,1)}
        93:{2,3,4,5,7}:{(60,1),(63,1),(66,1),(132,1),(138,1),(139,1),(144,1),(254,1),(255,1),(336,1),(347,1),(371,1),(439,1),(452,1),(469,1),(505,1)}
        94:{3,4,6}:{(60,1),(61,1),(136,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(68,1),(134,1),(137,1),(140,1),(469,1)}
        96:{1,3,4,5}:{(63,1),(70,1),(142,1),(143,1),(152,1),(248,1),(330,1)}
        97:{2,3,4,6}:{(63,1),(71,1),(115,1),(143,1),(144,1),(258,1),(339,1),(467,1)}
        98:{1,2,3,6}:{(65,1),(145,1),(155,1),(263,1),(504,1)}
        99:{1,3,5,6}:{(64,1),(67,1),(136,1),(146,1),(147,1)}
       100:{1,4,5,7}:{(64,1),(68,1),(137,1),(147,1),(365,1)}
       101:{1,2,4,7}:{(65,1),(69,1),(145,1),(148,1),(448,1)}
       102:{1,4,5,7}:{(66,1),(70,1),(74,1),(150,1),(154,1),(262,1)}
       103:{2,4,6}:{(66,1),(67,1),(75,1),(146,1),(150,1)}
       104:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(76,1),(140,1),(147,1),(151,1)}
       105:{1,3,4}:{(69,1),(141,1),(152,1)}
       106:{1,2,4,5}:{(69,1),(70,1),(77,1),(142,1),(152,1),(153,1)}
       107:{1,4,6}:{(70,1),(71,1),(78,1),(154,1)}
       108:{2,4,7}:{(71,1),(72,1),(79,1),(154,1)}
       109:{1,2,5,7}:{(73,1),(74,1),(77,1),(155,1)}
       110:{1,3,6}:{(74,1),(75,1),(150,1),(155,1)}
       111:{2,3,6,7}:{(75,1),(76,1),(79,1),(151,1),(156,1),(338,1)}
       112:{1,2,5,6}:{(77,1),(78,1),(153,1),(155,1),(157,1),(218,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(154,1),(156,1),(157,1),(262,1),(265,1)}
       114:{1,2,3,6}:{(91,1),(158,1),(159,1),(309,1)}
       115:{2,3,5,6}:{(82,1),(97,1),(162,1),(163,1),(422,1)}
       116:{1,2,3,6,7}:{(80,1),(98,1),(164,1),(208,1),(285,1),(322,1),(377,1),(394,1)}
       117:{1,4,5,6,7}:{(100,1),(160,1),(165,1),(383,1),(389,1),(486,1)}
       118:{1,2,4,7}:{(80,1),(81,1),(166,1),(395,1),(426,1)}
       119:{1,3,4,6,7}:{(83,1),(165,1),(168,1),(273,1),(277,1),(389,1),(482,1)}
       120:{1,3,4,6}:{(81,1),(105,1),(161,1),(166,1),(169,1),(206,1),(285,1)}
       121:{1,2,4,5}:{(81,1),(169,1),(200,1),(278,1),(319,1)}
       122:{1,4,5,6}:{(82,1),(107,1),(162,1),(171,1),(201,1),(387,1),(479,1)}
       123:{2,4,5,7}:{(82,1),(83,1),(108,1),(163,1),(168,1),(171,1),(202,1),(280,1),(395,1),(485,1)}
       124:{1,3,4,6}:{(84,1),(85,1),(172,1),(173,1),(178,1),(487,1),(536,1)}
       125:{1,2,4,5}:{(84,1),(173,1),(200,1),(290,1),(319,1)}
       126:{2,3,4,7}:{(85,1),(172,1),(176,1),(177,1),(406,1),(538,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(173,1),(177,1),(178,1)}
       128:{1,2,4,6}:{(86,1),(87,1),(89,1),(178,1),(185,1)}
       129:{1,2,5,6,7}:{(87,1),(90,1),(179,1),(208,1),(305,1),(321,1),(383,1),(392,1)}
       130:{1,4,5,6}:{(89,1),(92,1),(181,1),(182,1),(201,1)}
       131:{1,2,3,5,7}:{(91,1),(158,1),(175,1),(180,1),(183,1),(270,1),(289,1),(296,1),(303,1),(306,1)}
       132:{2,4,5,7}:{(88,1),(177,1),(184,1),(185,1),(290,1),(305,1),(406,1)}
       133:{1,3,4,6}:{(88,1),(89,1),(94,1),(178,1),(181,1),(185,1)}
       134:{1,4,6,7}:{(89,1),(90,1),(95,1),(182,1),(426,1)}
       135:{1,2,4}:{(91,1),(187,1)}
       136:{3,5,6}:{(92,1),(94,1),(191,1)}
       137:{2,4,5,7}:{(92,1),(95,1),(100,1),(182,1),(191,1),(202,1),(305,1)}
       138:{1,3,4,5,7}:{(93,1),(96,1),(102,1),(184,1),(193,1),(194,1),(198,1),(203,1),(306,1),(315,1),(319,1),(384,1),(401,1),(417,1),(421,1),(426,1),(491,1),(501,1),(502,1),(527,1)}
       139:{2,3,4,6}:{(93,1),(94,1),(103,1),(185,1),(190,1),(194,1),(316,1),(393,1),(424,1),(481,1),(530,1)}
       140:{3,4,6,7}:{(94,1),(95,1),(191,1),(482,1),(502,1)}
       141:{2,3,4}:{(105,1),(187,1),(196,1)}
       142:{2,4,5}:{(96,1),(196,1),(197,1)}
       143:{1,3,4,6}:{(96,1),(97,1),(107,1),(162,1),(197,1),(198,1),(206,1),(309,1),(387,1)}
       144:{2,3,4,7}:{(97,1),(108,1),(163,1),(198,1),(318,1),(395,1),(502,1)}
       145:{1,2,4,6}:{(98,1),(101,1),(199,1),(200,1)}
       146:{2,5,6}:{(99,1),(103,1),(201,1),(202,1)}
       147:{1,3,5,7}:{(99,1),(100,1),(104,1),(191,1),(202,1)}
       148:{1,3,4,7}:{(101,1),(105,1),(192,1),(199,1),(203,1),(426,1),(487,1)}
       149:{1,2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(193,1),(200,1),(203,1),(204,1),(207,1),(319,1),(321,1),(426,1),(471,1),(488,1),(527,1),(537,1)}
       150:{1,4,6}:{(102,1),(103,1),(110,1),(201,1)}
       151:{2,4,6,7}:{(103,1),(104,1),(108,1),(111,1),(202,1),(205,1)}
       152:{1,3,5}:{(105,1),(106,1),(196,1),(206,1)}
       153:{1,2,4,6}:{(106,1),(107,1),(112,1),(197,1),(206,1),(207,1)}
       154:{1,4,7}:{(107,1),(108,1),(113,1)}
       155:{1,2,6}:{(109,1),(110,1)}
       156:{1,3,6,7}:{(110,1),(111,1),(113,1),(205,1),(208,1)}
       157:{1,2,5,7}:{(112,1),(113,1),(207,1),(208,1),(280,1)}
       158:{1,2,3,7}:{(114,1),(211,1),(368,1)}
       159:{1,2,4,6}:{(114,1),(135,1),(211,1),(212,1),(213,1),(329,1)}
       160:{2,4,5,6,7}:{(117,1),(137,1),(210,1),(214,1),(222,1),(327,1),(333,1),(440,1),(515,1)}
       161:{2,3,4,6}:{(120,1),(141,1),(212,1),(215,1),(217,1),(258,1),(337,1),(339,1)}
       162:{1,3,5,6}:{(115,1),(122,1),(143,1),(218,1),(219,1)}
       163:{2,3,5,7}:{(115,1),(123,1),(144,1),(216,1),(219,1),(468,1)}
       164:{1,2,4,6,7}:{(116,1),(118,1),(145,1),(220,1),(221,1),(224,1),(427,1),(444,1),(504,1)}
       165:{1,3,5,6,7}:{(117,1),(119,1),(147,1),(214,1),(222,1),(447,1)}
       166:{1,3,4,7}:{(118,1),(120,1),(215,1),(223,1),(265,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(221,1),(223,1),(224,1),(336,1),(341,1)}
       168:{2,4,6,7}:{(119,1),(123,1),(216,1),(222,1),(225,1),(338,1)}
       169:{1,3,5}:{(120,1),(121,1),(217,1)}
       170:{1,2,4,5,6}:{(121,1),(122,1),(153,1),(218,1),(224,1),(227,1),(228,1),(261,1),(339,1),(369,1),(375,1),(443,1),(445,1)}
       171:{1,4,5,7}:{(122,1),(123,1),(154,1),(219,1),(225,1),(262,1),(438,1),(512,1)}
       172:{2,3,4,6}:{(124,1),(126,1),(231,1),(232,1),(237,1),(350,1),(449,1),(518,1)}
       173:{1,3,5}:{(124,1),(125,1),(232,1)}
       174:{1,2,4,5,6}:{(125,1),(128,1),(130,1),(233,1),(234,1),(242,1),(261,1),(350,1),(361,1),(369,1),(375,1),(460,1),(517,1)}
       175:{1,2,3,7}:{(230,1),(235,1),(520,1)}
       176:{1,3,4,7}:{(126,1),(231,1),(235,1),(236,1),(455,1),(520,1)}
       177:{2,3,5,7}:{(126,1),(127,1),(132,1),(232,1),(236,1),(237,1)}
       178:{1,3,6}:{(127,1),(128,1),(237,1)}
       179:{1,2,4,6,7}:{(128,1),(129,1),(134,1),(234,1),(238,1),(247,1),(432,1),(440,1),(507,1)}
       180:{1,2,3,6}:{(131,1),(241,1),(329,1),(355,1),(366,1)}
       181:{1,3,5,6}:{(130,1),(133,1),(136,1),(242,1),(243,1)}
       182:{1,4,5,7}:{(130,1),(134,1),(137,1),(243,1),(262,1)}
       183:{1,2,4,7}:{(131,1),(135,1),(241,1),(244,1),(348,1)}
       184:{1,4,5,7}:{(132,1),(236,1),(246,1),(349,1),(365,1),(455,1)}
       185:{2,4,6}:{(132,1),(133,1),(237,1),(242,1),(246,1)}
       186:{1,3,4,6,7}:{(133,1),(134,1),(140,1),(238,1),(243,1),(247,1),(351,1)}
       187:{1,3,4}:{(135,1),(141,1),(248,1)}
       188:{1,2,4,5}:{(135,1),(142,1),(213,1),(248,1),(249,1),(330,1)}
       189:{3,4,5,6}:{(136,1),(250,1),(251,1),(467,1),(513,1)}
       190:{2,3,5,6}:{(136,1),(139,1),(146,1),(242,1),(250,1),(253,1),(254,1),(443,1),(513,1),(544,1)}
       191:{3,5,7}:{(136,1),(137,1),(140,1)}
       192:{2,3,4,7}:{(141,1),(148,1),(244,1),(252,1),(255,1),(449,1),(469,1)}
       193:{2,4,5,7}:{(138,1),(142,1),(255,1),(256,1),(259,1),(371,1),(373,1),(450,1),(469,1),(519,1)}
       194:{1,3,4,6}:{(138,1),(139,1),(150,1),(246,1),(253,1),(256,1),(263,1),(366,1),(375,1),(436,1),(465,1),(467,1),(542,1)}
       195:{2,3,4,6,7}:{(139,1),(140,1),(144,1),(151,1),(216,1),(247,1),(254,1),(257,1),(333,1),(374,1),(429,1),(444,1),(452,1),(469,1),(514,1),(545,1)}
       196:{2,3,5}:{(141,1),(142,1),(152,1),(248,1),(258,1)}
       197:{2,4,6}:{(142,1),(143,1),(218,1),(258,1),(259,1)}
       198:{1,3,4,7}:{(143,1),(144,1),(154,1),(219,1),(259,1),(265,1),(368,1),(438,1)}
       199:{1,3,4,6}:{(145,1),(148,1),(252,1),(260,1),(263,1),(375,1)}
       200:{1,2,5}:{(145,1),(260,1)}
       201:{1,5,6}:{(146,1),(150,1),(262,1)}
       202:{2,5,7}:{(146,1),(147,1),(151,1),(262,1)}
       203:{1,3,5,7}:{(148,1),(149,1),(152,1),(255,1),(260,1),(263,1),(265,1),(516,1),(547,1)}
       204:{1,2,4,6}:{(149,1),(150,1),(155,1),(256,1),(261,1),(263,1),(375,1),(504,1),(542,1)}
       205:{1,4,6,7}:{(150,1),(151,1),(154,1),(156,1),(262,1)}
       206:{1,3,6}:{(152,1),(153,1),(258,1),(265,1)}
       207:{1,2,4,7}:{(153,1),(154,1),(157,1),(259,1),(265,1)}
       208:{1,2,6,7}:{(155,1),(156,1),(157,1),(338,1)}
       209:{1,2,3,6,7}:{(158,1),(180,1),(266,1),(267,1),(409,1),(420,1),(475,1),(531,1)}
       210:{1,4,5,6,7}:{(160,1),(182,1),(268,1),(283,1),(389,1),(534,1)}
       211:{1,2,4,7}:{(158,1),(159,1),(269,1),(270,1)}
       212:{1,3,4,6}:{(159,1),(161,1),(187,1),(269,1),(271,1),(309,1),(385,1),(387,1)}
       213:{1,2,5}:{(159,1),(271,1)}
       214:{3,5,6,7}:{(160,1),(191,1),(273,1),(482,1),(535,1)}
       215:{2,3,4,7}:{(161,1),(166,1),(269,1),(276,1),(318,1),(395,1)}
       216:{2,3,6,7}:{(163,1),(168,1),(277,1),(482,1)}
       217:{2,3,5}:{(161,1),(169,1),(271,1),(278,1)}
       218:{2,5,6}:{(162,1),(197,1),(280,1)}
       219:{1,3,5,7}:{(162,1),(163,1),(171,1),(198,1),(277,1),(280,1)}
       220:{1,3,4,6,7}:{(164,1),(166,1),(199,1),(274,1),(281,1),(285,1),(322,1),(396,1),(426,1),(470,1),(528,1),(550,1)}
       221:{1,2,5,7}:{(164,1),(200,1),(281,1),(282,1),(485,1)}
       222:{2,5,6,7}:{(165,1),(168,1),(202,1),(283,1),(485,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(169,1),(276,1),(285,1)}
       224:{1,2,4,6}:{(167,1),(282,1),(285,1),(393,1),(396,1)}
       225:{1,4,6,7}:{(168,1),(171,1),(277,1),(283,1)}
       226:{1,3,4,5}:{(169,1),(278,1),(287,1),(319,1),(421,1)}
       227:{1,3,5,6}:{(169,1),(170,1),(206,1),(279,1),(285,1),(287,1),(288,1),(422,1)}
       228:{1,2,4,5,7}:{(170,1),(171,1),(207,1),(280,1),(286,1),(288,1),(321,1),(395,1),(423,1),(426,1),(485,1),(486,1)}
       229:{1,3,4,5}:{(173,1),(290,1),(291,1),(319,1),(421,1)}
       230:{1,2,3,6}:{(175,1),(289,1),(292,1),(492,1)}
       231:{1,3,4,6}:{(172,1),(176,1),(292,1),(293,1),(297,1),(403,1),(405,1),(492,1)}
       232:{2,3,5}:{(172,1),(173,1),(290,1),(293,1)}
       233:{1,3,5,6}:{(173,1),(174,1),(178,1),(291,1),(294,1),(295,1),(422,1),(536,1)}
       234:{1,2,4,5,7}:{(174,1),(179,1),(182,1),(295,1),(305,1),(321,1),(406,1),(416,1),(423,1),(426,1),(498,1),(537,1)}
       235:{1,2,4,7}:{(175,1),(176,1),(292,1),(296,1)}
       236:{1,3,5,7}:{(176,1),(177,1),(184,1),(293,1),(296,1),(297,1)}
       237:{2,3,6}:{(177,1),(178,1),(185,1),(297,1)}
       238:{1,3,6,7}:{(178,1),(179,1),(295,1),(298,1),(482,1)}
       239:{1,2,3,5,6}:{(180,1),(266,1),(289,1),(299,1),(303,1),(382,1),(407,1),(414,1),(418,1),(475,1),(492,1),(497,1)}
       240:{1,3,4,5,6}:{(181,1),(189,1),(291,1),(300,1),(301,1),(311,1),(412,1),(422,1),(499,1),(532,1)}
       241:{1,2,4,6}:{(180,1),(183,1),(302,1),(303,1)}
       242:{2,5,6}:{(181,1),(185,1),(304,1),(305,1)}
       243:{1,3,5,7}:{(181,1),(182,1),(186,1),(191,1),(305,1)}
       244:{1,3,4,7}:{(183,1),(187,1),(192,1),(302,1),(306,1),(403,1),(501,1)}
       245:{1,2,4,5,7}:{(183,1),(184,1),(188,1),(193,1),(270,1),(296,1),(303,1),(306,1),(307,1),(310,1),(384,1),(404,1),(417,1),(419,1),(493,1),(501,1)}
       246:{1,4,6}:{(184,1),(185,1),(297,1),(304,1)}
       247:{2,4,6,7}:{(185,1),(186,1),(298,1),(305,1),(308,1),(406,1)}
       248:{1,3,5}:{(187,1),(188,1),(196,1),(309,1)}
       249:{1,2,4,6}:{(188,1),(197,1),(272,1),(309,1),(310,1),(387,1)}
       250:{2,4,5,6}:{(189,1),(190,1),(311,1),(312,1),(424,1)}
       251:{3,4,5,7}:{(189,1),(191,1),(273,1),(312,1),(502,1),(535,1)}
       252:{2,3,4,6}:{(192,1),(199,1),(302,1),(313,1),(316,1),(424,1)}
       253:{1,3,5,6}:{(190,1),(194,1),(201,1),(304,1),(311,1),(314,1),(315,1),(422,1),(479,1),(549,1)}
       254:{2,3,5,7}:{(190,1),(191,1),(195,1),(202,1),(305,1),(312,1),(315,1),(485,1),(535,1),(551,1)}
       255:{2,3,5,7}:{(192,1),(193,1),(196,1),(203,1),(306,1),(313,1),(316,1),(318,1),(489,1),(538,1)}
       256:{2,4,6}:{(193,1),(194,1),(314,1),(316,1)}
       257:{1,3,4,6,7}:{(194,1),(195,1),(198,1),(205,1),(277,1),(308,1),(315,1),(317,1),(322,1),(389,1),(420,1),(426,1),(473,1),(480,1),(482,1),(491,1),(501,1),(502,1),(550,1)}
       258:{2,3,6}:{(196,1),(197,1),(206,1),(309,1),(318,1)}
       259:{2,4,7}:{(197,1),(198,1),(280,1),(318,1)}
       260:{1,3,5}:{(199,1),(200,1),(313,1),(319,1)}
       261:{1,2,5,6}:{(200,1),(201,1),(204,1),(314,1),(320,1),(321,1),(549,1)}
       262:{1,5,7}:{(201,1),(202,1),(205,1)}
       263:{1,3,6}:{(203,1),(204,1),(316,1)}
       264:{1,2,4,6,7}:{(204,1),(205,1),(207,1),(208,1),(317,1),(321,1),(322,1),(426,1),(529,1),(537,1),(550,1)}
       265:{1,3,7}:{(206,1),(207,1),(318,1)}
       266:{1,2,3,5,7}:{(209,1),(239,1),(323,1),(326,1),(430,1),(456,1),(466,1),(520,1),(525,1)}
       267:{1,2,4,6,7}:{(209,1),(211,1),(241,1),(323,1),(325,1),(326,1),(329,1),(431,1),(545,1)}
       268:{1,3,5,6,7}:{(210,1),(214,1),(243,1),(324,1),(327,1),(546,1)}
       269:{1,3,4,7}:{(211,1),(212,1),(215,1),(328,1),(368,1),(438,1)}
       270:{1,2,5,7}:{(211,1),(213,1),(328,1),(329,1)}
       271:{1,3,5}:{(212,1),(213,1),(217,1),(330,1)}
       272:{1,2,5,6}:{(213,1),(218,1),(249,1),(329,1),(331,1),(332,1)}
       273:{3,4,6,7}:{(214,1),(251,1),(333,1)}
       274:{2,3,4,6,7}:{(215,1),(220,1),(252,1),(325,1),(334,1),(337,1),(374,1),(428,1),(441,1),(444,1),(469,1),(506,1),(514,1),(545,1)}
       275:{2,3,5,6,7}:{(214,1),(216,1),(222,1),(254,1),(327,1),(333,1),(335,1),(429,1)}
       276:{2,3,5,7}:{(215,1),(217,1),(223,1),(328,1),(336,1),(337,1)}
       277:{1,3,6,7}:{(216,1),(219,1),(225,1),(338,1)}
       278:{2,4,5}:{(217,1),(226,1),(330,1),(339,1)}
       279:{2,3,5,6}:{(217,1),(218,1),(227,1),(258,1),(331,1),(337,1),(339,1),(340,1),(443,1)}
       280:{2,5,7}:{(218,1),(219,1),(259,1),(338,1)}
       281:{1,3,5,7}:{(220,1),(221,1),(260,1),(334,1),(341,1),(342,1),(552,1)}
       282:{1,2,5,6}:{(221,1),(224,1),(342,1),(443,1),(504,1)}
       283:{1,5,6,7}:{(222,1),(225,1),(262,1),(512,1)}
       284:{1,3,4,5,7}:{(223,1),(226,1),(336,1),(341,1),(344,1),(346,1),(439,1),(447,1)}
       285:{1,3,6}:{(223,1),(224,1),(337,1)}
       286:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(338,1),(343,1),(345,1),(440,1),(444,1),(446,1)}
       287:{1,3,4,6}:{(226,1),(227,1),(339,1),(346,1),(375,1),(467,1)}
       288:{1,3,5,7}:{(227,1),(228,1),(265,1),(340,1),(345,1),(346,1),(468,1)}
       289:{1,2,3,5}:{(230,1),(348,1),(352,1),(453,1)}
       290:{2,4,5}:{(229,1),(232,1),(349,1),(350,1)}
       291:{1,3,4,6}:{(229,1),(233,1),(350,1),(351,1),(375,1),(467,1)}
       292:{1,2,4,6}:{(230,1),(231,1),(235,1),(348,1),(352,1),(355,1)}
       293:{1,3,5}:{(231,1),(232,1),(349,1),(352,1)}
       294:{2,3,5,6}:{(232,1),(233,1),(237,1),(242,1),(350,1),(353,1),(354,1),(460,1),(518,1)}
       295:{1,3,5,7}:{(233,1),(234,1),(238,1),(351,1),(354,1),(468,1),(547,1)}
       296:{1,2,5,7}:{(235,1),(236,1),(352,1),(355,1)}
       297:{1,3,6}:{(236,1),(237,1),(246,1),(355,1)}
       298:{2,3,6,7}:{(237,1),(238,1),(247,1),(354,1),(356,1),(507,1)}
       299:{1,2,4,6}:{(239,1),(323,1),(348,1),(359,1),(360,1),(465,1),(524,1)}
       300:{2,4,5,6}:{(240,1),(242,1),(350,1),(358,1),(361,1),(362,1),(460,1),(524,1),(544,1)}
       301:{1,3,4,5,7}:{(240,1),(243,1),(251,1),(324,1),(351,1),(362,1),(370,1),(461,1),(468,1),(526,1),(546,1)}
       302:{1,3,4,6}:{(241,1),(244,1),(252,1),(363,1),(366,1),(465,1)}
       303:{1,2,5}:{(241,1),(363,1)}
       304:{1,5,6}:{(242,1),(246,1),(365,1)}
       305:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       306:{1,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(363,1),(366,1),(368,1),(453,1),(520,1)}
       307:{1,2,4,6}:{(245,1),(246,1),(256,1),(329,1),(355,1),(364,1),(366,1),(436,1),(465,1)}
       308:{1,4,6,7}:{(246,1),(247,1),(356,1),(365,1),(455,1)}
       309:{1,3,6}:{(248,1),(249,1),(258,1),(368,1)}
       310:{1,2,4,7}:{(249,1),(259,1),(332,1),(368,1),(438,1)}
       311:{1,4,5,6}:{(250,1),(253,1),(369,1),(370,1),(375,1),(465,1)}
       312:{2,4,5,7}:{(250,1),(251,1),(254,1),(333,1),(370,1),(469,1)}
       313:{2,3,5}:{(252,1),(260,1),(363,1),(371,1)}
       314:{2,5,6}:{(253,1),(256,1),(373,1)}
       315:{1,3,5,7}:{(253,1),(254,1),(257,1),(262,1),(365,1),(370,1),(373,1),(468,1),(512,1),(552,1)}
       316:{2,3,6}:{(255,1),(256,1),(263,1),(366,1)}
       317:{2,4,6,7}:{(256,1),(257,1),(259,1),(338,1),(373,1),(374,1),(469,1),(507,1),(519,1)}
       318:{2,3,7}:{(258,1),(259,1),(265,1),(368,1)}
       319:{1,4,5}:{(260,1),(371,1),(375,1)}
       320:{1,3,5,6}:{(260,1),(261,1),(263,1),(372,1),(375,1),(376,1)}
       321:{1,2,5,7}:{(261,1),(262,1),(264,1),(373,1),(376,1),(552,1)}
       322:{1,3,6,7}:{(263,1),(264,1),(265,1),(374,1),(376,1),(547,1)}
       323:{1,2,4,7}:{(266,1),(299,1),(378,1),(501,1),(541,1)}
       324:{1,3,4,6,7}:{(268,1),(273,1),(301,1),(380,1),(389,1),(473,1),(482,1)}
       325:{1,3,4,6,7}:{(267,1),(269,1),(274,1),(302,1),(378,1),(381,1),(385,1),(420,1),(475,1),(477,1),(480,1),(501,1)}
       326:{1,2,5,7}:{(267,1),(303,1),(381,1),(382,1),(551,1)}
       327:{2,5,6,7}:{(268,1),(305,1),(380,1),(383,1),(551,1)}
       328:{1,3,5,7}:{(269,1),(270,1),(271,1),(276,1),(384,1),(385,1)}
       329:{1,2,6}:{(270,1),(385,1)}
       330:{1,4,5}:{(271,1),(278,1),(387,1)}
       331:{1,3,5,6}:{(271,1),(272,1),(279,1),(309,1),(385,1),(387,1),(388,1),(479,1)}
       332:{1,2,5,7}:{(272,1),(280,1),(310,1),(386,1),(388,1)}
       333:{2,4,6,7}:{(273,1),(275,1),(312,1),(389,1)}
       334:{2,3,5,7}:{(274,1),(281,1),(313,1),(381,1),(390,1),(391,1),(485,1),(535,1),(551,1)}
       335:{1,3,5,6,7}:{(275,1),(277,1),(283,1),(315,1),(383,1),(389,1),(392,1),(473,1),(482,1)}
       336:{2,4,5,7}:{(276,1),(278,1),(284,1),(384,1),(393,1),(395,1),(485,1)}
       337:{2,3,6}:{(276,1),(285,1),(385,1),(393,1)}
       338:{2,6,7}:{(277,1),(280,1)}
       339:{2,4,6}:{(278,1),(279,1),(287,1),(387,1),(395,1)}
       340:{2,3,5,7}:{(279,1),(280,1),(288,1),(318,1),(388,1),(394,1),(395,1),(485,1)}
       341:{1,4,5,7}:{(281,1),(319,1),(390,1),(396,1),(426,1)}
       342:{1,3,5,6}:{(281,1),(282,1),(285,1),(391,1),(396,1),(528,1),(549,1)}
       343:{1,2,5,6,7}:{(282,1),(283,1),(286,1),(321,1),(392,1),(397,1),(485,1),(529,1)}
       344:{1,3,4,6}:{(284,1),(285,1),(393,1),(396,1),(398,1),(481,1)}
       345:{1,3,6,7}:{(285,1),(286,1),(288,1),(394,1),(482,1)}
       346:{1,3,4,7}:{(287,1),(288,1),(395,1),(426,1),(502,1)}
       347:{2,3,4,5}:{(290,1),(401,1),(402,1),(421,1),(489,1),(496,1)}
       348:{1,2,4}:{(289,1),(403,1)}
       349:{1,4,5}:{(290,1),(293,1),(405,1)}
       350:{2,4,6}:{(290,1),(291,1),(294,1),(405,1),(406,1)}
       351:{1,3,4,7}:{(291,1),(295,1),(406,1),(426,1),(502,1)}
       352:{1,2,5}:{(292,1),(293,1)}
       353:{1,3,5,6}:{(293,1),(294,1),(297,1),(304,1),(405,1),(407,1),(408,1),(492,1)}
       354:{2,3,5,7}:{(294,1),(295,1),(298,1),(305,1),(406,1),(408,1),(498,1),(538,1)}
       355:{1,2,6}:{(296,1),(297,1)}
       356:{1,3,6,7}:{(297,1),(298,1),(308,1),(408,1),(409,1)}
       357:{1,2,3,6}:{(377,1),(400,1),(410,1),(536,1)}
       358:{2,3,5,6}:{(300,1),(402,1),(412,1),(413,1),(422,1)}
       359:{1,3,4,6}:{(299,1),(378,1),(403,1),(411,1),(414,1),(475,1),(492,1)}
       360:{1,2,4,5}:{(299,1),(303,1),(414,1),(417,1),(496,1)}
       361:{1,4,5,6}:{(300,1),(304,1),(405,1),(412,1),(416,1),(539,1),(549,1)}
       362:{2,4,5,7}:{(300,1),(301,1),(305,1),(380,1),(406,1),(413,1),(416,1),(498,1),(541,1),(551,1)}
       363:{1,3,5}:{(302,1),(303,1),(313,1),(417,1)}
       364:{1,2,5,6}:{(303,1),(304,1),(307,1),(314,1),(418,1),(419,1),(479,1)}
       365:{1,5,7}:{(304,1),(305,1),(308,1)}
       366:{1,3,6}:{(306,1),(307,1),(316,1)}
       367:{1,2,4,6,7}:{(307,1),(308,1),(310,1),(317,1),(386,1),(409,1),(419,1),(420,1),(480,1),(493,1),(501,1)}
       368:{1,3,7}:{(309,1),(310,1),(318,1)}
       369:{2,4,5,6}:{(311,1),(314,1),(422,1),(423,1),(424,1)}
       370:{1,4,5,7}:{(311,1),(312,1),(315,1),(389,1),(423,1),(426,1),(501,1)}
       371:{2,4,5}:{(313,1),(319,1),(417,1),(421,1),(424,1)}
       372:{2,3,5,6}:{(313,1),(314,1),(316,1),(320,1),(418,1),(422,1),(424,1),(425,1)}
       373:{2,5,7}:{(314,1),(315,1),(317,1)}
       374:{2,3,6,7}:{(316,1),(317,1),(318,1),(322,1),(420,1),(425,1),(482,1),(538,1)}
       375:{1,4,6}:{(319,1),(320,1),(424,1),(426,1)}
       376:{1,3,5,7}:{(320,1),(321,1),(322,1),(425,1),(426,1)}
       377:{1,2,3,7}:{(357,1),(427,1),(547,1)}
       378:{1,3,4,7}:{(323,1),(359,1),(428,1),(430,1),(520,1)}
       379:{1,2,4,5,7}:{(323,1),(326,1),(360,1),(430,1),(431,1),(433,1),(505,1)}
       380:{2,4,6,7}:{(324,1),(327,1),(362,1),(429,1),(432,1),(507,1)}
       381:{1,3,5,7}:{(325,1),(326,1),(334,1),(363,1),(433,1),(434,1),(512,1)}
       382:{1,2,5,6}:{(326,1),(329,1),(431,1),(434,1),(544,1)}
       383:{1,5,6,7}:{(327,1),(365,1),(432,1),(552,1)}
       384:{1,4,5,7}:{(328,1),(330,1),(336,1),(436,1),(438,1),(512,1)}
       385:{1,3,6}:{(328,1),(329,1),(337,1),(436,1)}
       386:{1,2,6,7}:{(329,1),(332,1),(338,1),(437,1)}
       387:{1,4,6}:{(330,1),(331,1),(339,1),(438,1)}
       388:{1,3,5,7}:{(331,1),(332,1),(340,1),(368,1),(437,1),(438,1),(512,1)}
       389:{1,4,6,7}:{(333,1),(335,1),(370,1),(440,1)}
       390:{2,4,5,7}:{(334,1),(341,1),(371,1),(433,1),(439,1),(441,1),(469,1)}
       391:{2,3,5,6}:{(334,1),(337,1),(342,1),(434,1),(441,1),(443,1),(506,1),(513,1),(544,1)}
       392:{2,5,6,7}:{(335,1),(338,1),(373,1),(440,1),(507,1)}
       393:{2,4,6}:{(336,1),(337,1),(344,1),(436,1),(443,1)}
       394:{2,3,6,7}:{(337,1),(338,1),(340,1),(345,1),(437,1),(444,1)}
       395:{2,4,7}:{(339,1),(340,1),(346,1),(438,1)}
       396:{1,4,6}:{(341,1),(342,1),(441,1)}
       397:{1,3,5,6,7}:{(342,1),(343,1),(345,1),(376,1),(442,1),(446,1),(447,1),(543,1),(552,1)}
       398:{1,3,5,6}:{(344,1),(443,1),(445,1),(447,1),(513,1)}
       399:{1,3,4,6,7}:{(344,1),(345,1),(346,1),(444,1),(446,1),(447,1),(514,1)}
       400:{1,2,3,5}:{(357,1),(448,1),(458,1),(516,1)}
       401:{1,3,4,5}:{(347,1),(349,1),(450,1),(451,1),(453,1),(516,1),(521,1)}
       402:{2,3,4,6}:{(347,1),(350,1),(358,1),(451,1),(452,1),(467,1),(518,1),(524,1)}
       403:{1,3,4}:{(348,1),(449,1),(453,1)}
       404:{1,2,4,5}:{(348,1),(349,1),(352,1),(450,1),(453,1),(454,1)}
       405:{1,4,6}:{(349,1),(350,1),(353,1),(455,1)}
       406:{2,4,7}:{(350,1),(351,1),(354,1),(455,1)}
       407:{1,2,5,6}:{(352,1),(353,1),(355,1),(454,1),(456,1),(460,1)}
       408:{1,3,5,7}:{(353,1),(354,1),(356,1),(365,1),(455,1),(456,1),(520,1)}
       409:{1,2,6,7}:{(355,1),(356,1),(456,1),(507,1)}
       410:{1,2,4,6}:{(357,1),(427,1),(448,1),(457,1),(458,1),(504,1)}
       411:{2,3,4,6}:{(359,1),(428,1),(449,1),(457,1),(459,1),(506,1),(518,1),(524,1)}
       412:{1,3,5,6}:{(358,1),(361,1),(451,1),(460,1),(461,1)}
       413:{2,3,5,7}:{(358,1),(362,1),(429,1),(452,1),(461,1),(468,1)}
       414:{1,3,5}:{(359,1),(360,1),(459,1)}
       415:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(369,1),(431,1),(454,1),(460,1),(463,1),(464,1),(465,1),(510,1),(524,1),(544,1)}
       416:{1,4,5,7}:{(361,1),(362,1),(365,1),(432,1),(455,1),(461,1),(548,1),(552,1)}
       417:{1,4,5}:{(363,1),(371,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(372,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(373,1),(466,1),(512,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(368,1),(374,1),(466,1),(520,1)}
       421:{3,4,5}:{(371,1),(467,1)}
       422:{3,5,6}:{(369,1),(467,1),(468,1)}
       423:{2,4,5,7}:{(369,1),(370,1),(373,1),(440,1),(468,1),(469,1)}
       424:{2,4,6}:{(371,1),(372,1),(375,1),(465,1),(467,1),(469,1)}
       425:{2,3,5,7}:{(372,1),(373,1),(374,1),(376,1),(466,1),(468,1),(469,1)}
       426:{1,4,7}:{(375,1),(376,1),(469,1)}
       427:{1,2,4,7}:{(377,1),(410,1),(470,1),(471,1)}
       428:{2,3,4,7}:{(378,1),(411,1),(470,1),(472,1),(538,1),(541,1)}
       429:{2,3,6,7}:{(380,1),(413,1),(473,1),(482,1)}
       430:{1,3,5,7}:{(378,1),(379,1),(414,1),(472,1),(475,1)}
       431:{1,2,4,6}:{(379,1),(382,1),(475,1),(477,1),(530,1)}
       432:{1,4,6,7}:{(380,1),(383,1),(416,1),(473,1)}
       433:{1,4,5,7}:{(381,1),(390,1),(417,1),(477,1),(501,1)}
       434:{1,3,5,6}:{(381,1),(382,1),(385,1),(391,1),(475,1),(477,1),(479,1)}
       435:{1,2,5,6,7}:{(382,1),(383,1),(386,1),(392,1),(419,1),(476,1),(478,1),(551,1)}
       436:{1,4,6}:{(384,1),(385,1),(393,1),(479,1)}
       437:{1,3,6,7}:{(385,1),(386,1),(388,1),(394,1),(480,1)}
       438:{1,4,7}:{(387,1),(388,1),(395,1)}
       439:{3,4,5,7}:{(390,1),(421,1),(481,1),(502,1),(535,1)}
       440:{2,4,6,7}:{(389,1),(392,1),(423,1),(482,1)}
       441:{2,4,6}:{(390,1),(391,1),(396,1),(477,1),(481,1)}
       442:{2,3,5,6,7}:{(391,1),(392,1),(394,1),(397,1),(425,1),(478,1),(482,1),(484,1),(485,1),(531,1),(535,1),(551,1)}
       443:{2,5,6}:{(393,1),(398,1),(479,1),(485,1)}
       444:{2,4,6,7}:{(393,1),(394,1),(395,1),(399,1),(480,1),(485,1)}
       445:{1,4,5,6}:{(396,1),(398,1),(483,1),(486,1),(549,1)}
       446:{1,4,6,7}:{(396,1),(397,1),(426,1),(484,1),(486,1)}
       447:{1,3,5,7}:{(398,1),(399,1),(485,1),(486,1),(535,1)}
       448:{1,2,4}:{(400,1),(487,1)}
       449:{2,3,4}:{(403,1),(487,1),(489,1)}
       450:{2,4,5}:{(401,1),(489,1),(490,1)}
       451:{1,3,4,6}:{(401,1),(402,1),(405,1),(412,1),(490,1),(491,1),(492,1),(536,1),(539,1)}
       452:{2,3,4,7}:{(402,1),(406,1),(413,1),(491,1),(502,1),(538,1),(541,1)}
       453:{1,3,5}:{(403,1),(404,1),(489,1),(492,1)}
       454:{1,2,4,6}:{(404,1),(405,1),(407,1),(490,1),(492,1),(493,1)}
       455:{1,4,7}:{(405,1),(406,1),(408,1)}
       456:{1,2,5,7}:{(407,1),(408,1),(409,1),(493,1),(498,1)}
       457:{1,3,4,6}:{(410,1),(411,1),(470,1),(487,1),(494,1),(528,1),(536,1),(539,1)}
       458:{1,2,5}:{(410,1),(494,1)}
       459:{2,3,5}:{(411,1),(414,1),(494,1),(496,1)}
       460:{2,5,6}:{(412,1),(490,1),(498,1)}
       461:{1,3,5,7}:{(412,1),(413,1),(416,1),(473,1),(491,1),(498,1)}
       462:{1,3,4,5}:{(414,1),(417,1),(421,1),(496,1),(499,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(475,1),(492,1),(497,1),(499,1),(500,1)}
       464:{1,2,4,5,7}:{(415,1),(416,1),(419,1),(423,1),(476,1),(493,1),(498,1),(500,1),(501,1),(534,1),(541,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(424,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(425,1),(501,1)}
       467:{3,4,6}:{(421,1),(422,1),(424,1),(502,1)}
       468:{3,5,7}:{(422,1),(423,1),(482,1),(502,1)}
       469:{2,4,7}:{(424,1),(425,1),(426,1),(501,1),(502,1)}
       470:{1,3,4,7}:{(427,1),(428,1),(457,1),(503,1),(547,1),(548,1)}
       471:{1,2,5,7}:{(427,1),(458,1),(503,1),(504,1)}
       472:{2,3,5,7}:{(428,1),(430,1),(459,1),(503,1),(505,1),(506,1)}
       473:{1,3,6,7}:{(429,1),(432,1),(461,1),(507,1)}
       474:{1,3,4,5,7}:{(430,1),(433,1),(439,1),(462,1),(505,1),(508,1),(526,1),(546,1)}
       475:{1,3,6}:{(430,1),(431,1),(506,1)}
       476:{1,2,4,6,7}:{(431,1),(432,1),(435,1),(440,1),(464,1),(507,1),(509,1),(511,1),(545,1)}
       477:{1,4,6}:{(433,1),(434,1),(441,1)}
       478:{1,3,5,6,7}:{(434,1),(435,1),(437,1),(442,1),(466,1),(509,1),(511,1),(512,1),(546,1)}
       479:{1,5,6}:{(436,1),(443,1),(512,1)}
       480:{1,4,6,7}:{(436,1),(437,1),(438,1),(444,1),(512,1)}
       481:{3,4,6}:{(439,1),(441,1),(513,1)}
       482:{3,6,7}:{(440,1),(468,1)}
       483:{2,4,5,6}:{(441,1),(443,1),(445,1),(510,1),(513,1),(515,1),(544,1)}
       484:{2,4,6,7}:{(441,1),(442,1),(446,1),(469,1),(511,1),(514,1),(515,1)}
       485:{2,5,7}:{(443,1),(444,1),(447,1),(512,1)}
       486:{1,4,5,7}:{(445,1),(446,1),(447,1),(515,1),(552,1)}
       487:{1,3,4}:{(448,1),(449,1),(516,1)}
       488:{1,2,4,5}:{(448,1),(450,1),(458,1),(516,1),(517,1),(521,1)}
       489:{2,3,5}:{(449,1),(450,1),(453,1),(516,1),(518,1)}
       490:{2,4,6}:{(450,1),(451,1),(460,1),(518,1),(519,1)}
       491:{1,3,4,7}:{(451,1),(452,1),(455,1),(461,1),(519,1),(520,1),(547,1),(548,1)}
       492:{1,3,6}:{(453,1),(454,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(454,1),(455,1),(456,1),(519,1),(520,1)}
       494:{1,3,5}:{(457,1),(458,1),(459,1),(521,1)}
       495:{1,2,5,6}:{(458,1),(460,1),(504,1),(517,1),(522,1),(523,1)}
       496:{2,4,5}:{(459,1),(462,1),(521,1),(524,1)}
       497:{2,3,5,6}:{(459,1),(460,1),(463,1),(506,1),(518,1),(522,1),(524,1),(525,1),(544,1)}
       498:{2,5,7}:{(460,1),(461,1),(507,1),(519,1)}
       499:{1,3,4,6}:{(462,1),(463,1),(465,1),(467,1),(524,1),(526,1)}
       500:{1,3,5,7}:{(463,1),(464,1),(468,1),(509,1),(520,1),(525,1),(526,1)}
       501:{1,4,7}:{(465,1),(466,1),(469,1)}
       502:{3,4,7}:{(467,1),(468,1),(469,1)}
       503:{1,3,5,7}:{(470,1),(471,1),(472,1),(494,1),(527,1),(528,1)}
       504:{1,2,6}:{(471,1),(528,1)}
       505:{2,4,5,7}:{(472,1),(474,1),(496,1),(527,1),(530,1),(541,1),(551,1)}
       506:{2,3,6}:{(472,1),(475,1),(528,1),(530,1)}
       507:{2,6,7}:{(473,1),(498,1)}
       508:{1,3,4,6}:{(474,1),(475,1),(477,1),(481,1),(530,1),(532,1)}
       509:{1,3,6,7}:{(475,1),(476,1),(482,1),(500,1),(531,1)}
       510:{1,4,5,6}:{(477,1),(479,1),(483,1),(532,1),(534,1)}
       511:{1,4,6,7}:{(477,1),(478,1),(484,1),(501,1),(534,1)}
       512:{1,5,7}:{(479,1),(480,1),(485,1)}
       513:{3,5,6}:{(481,1),(483,1),(535,1)}
       514:{3,4,6,7}:{(481,1),(482,1),(484,1),(502,1),(535,1)}
       515:{2,4,5,7}:{(483,1),(484,1),(485,1),(486,1),(534,1),(535,1),(551,1)}
       516:{1,3,5}:{(487,1),(488,1),(489,1),(536,1)}
       517:{1,2,4,6}:{(488,1),(490,1),(495,1),(536,1),(537,1),(539,1)}
       518:{2,3,6}:{(489,1),(490,1),(492,1),(536,1),(538,1)}
       519:{2,4,7}:{(490,1),(491,1),(498,1),(538,1)}
       520:{1,3,7}:{(492,1),(493,1),(538,1)}
       521:{1,4,5}:{(494,1),(496,1),(539,1)}
       522:{1,3,5,6}:{(494,1),(495,1),(497,1),(528,1),(536,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(495,1),(498,1),(529,1),(537,1),(540,1)}
       524:{2,4,6}:{(496,1),(497,1),(499,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(497,1),(498,1),(500,1),(531,1),(538,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(499,1),(500,1),(501,1),(502,1),(541,1)}
       527:{1,4,5,7}:{(503,1),(505,1),(521,1),(542,1),(548,1),(552,1)}
       528:{1,3,6}:{(503,1),(504,1),(506,1),(542,1)}
       529:{1,2,6,7}:{(504,1),(507,1),(523,1),(543,1)}
       530:{2,4,6}:{(505,1),(506,1),(508,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(506,1),(507,1),(509,1),(525,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(508,1),(510,1),(513,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(508,1),(509,1),(511,1),(514,1),(526,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(510,1),(511,1),(512,1),(515,1),(546,1)}
       535:{3,5,7}:{(513,1),(514,1),(515,1)}
       536:{1,3,6}:{(516,1),(517,1),(518,1),(547,1)}
       537:{1,2,4,7}:{(517,1),(519,1),(523,1),(547,1),(548,1)}
       538:{2,3,7}:{(518,1),(519,1),(520,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(540,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(541,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(535,1),(551,1)}
       547:{1,3,7}:{(536,1),(537,1),(538,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(548,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

1631 :   0:{1,3,4,5,6}:{(1,1),(2,1),(9,1),(38,1),(100,1),(101,1),(154,1),(164,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(19,1),(55,1),(182,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(20,1),(61,1),(110,1),(111,1),(122,1),(176,1)}
         3:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(164,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(12,1),(80,1),(209,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(35,1),(84,1),(150,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(36,1),(87,1),(88,1),(152,1)}
         7:{2,3,4,5}:{(8,1),(15,1),(83,1),(93,1),(221,1)}
         8:{2,3,4,6}:{(3,1),(7,1),(17,1),(18,1),(55,1),(102,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(20,1)}
        10:{2,3,5,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(176,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(22,1),(23,1),(48,1),(55,1),(112,1),(129,1),(132,1),(166,1),(178,1),(182,1),(187,1),(191,1),(224,1),(241,1),(270,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(20,1),(24,1),(113,1),(179,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(57,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(26,1),(65,1),(122,1)}
        15:{1,3,4,5}:{(7,1),(17,1),(27,1),(66,1),(112,1)}
        16:{2,3,4,5,7}:{(7,1),(18,1),(28,1),(29,1),(52,1),(116,1),(126,1),(226,1),(232,1),(233,1),(241,1),(246,1),(271,1),(274,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(15,1),(30,1),(31,1),(73,1),(80,1)}
        18:{2,3,4,7}:{(8,1),(10,1),(31,1),(84,1),(135,1),(206,1)}
        19:{2,5,6}:{(9,1),(30,1),(35,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(35,1),(36,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(36,1),(152,1)}
        22:{1,3,5,6}:{(11,1),(34,1),(38,1),(39,1),(73,1),(136,1),(164,1),(200,1),(263,1),(286,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(39,1),(40,1),(74,1),(84,1),(139,1),(143,1),(145,1),(150,1),(155,1),(197,1),(202,1),(250,1)}
        24:{1,4,6,7}:{(12,1),(13,1),(36,1),(41,1)}
        25:{2,5,6,7}:{(13,1),(14,1),(41,1),(150,1)}
        26:{1,4,5,6,7}:{(14,1),(42,1),(87,1),(155,1),(156,1)}
        27:{2,4,5}:{(15,1),(30,1),(44,1)}
        28:{1,3,4,5,7}:{(15,1),(16,1),(31,1),(45,1),(46,1),(78,1),(95,1),(145,1),(202,1),(206,1),(218,1),(221,1),(257,1),(268,1),(290,1)}
        29:{2,3,4,6}:{(16,1),(46,1),(47,1),(149,1),(158,1),(217,1),(256,1),(286,1),(289,1)}
        30:{2,4,6}:{(17,1),(19,1),(27,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(20,1),(50,1),(104,1),(113,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(29,1),(51,1),(52,1),(59,1),(117,1),(168,1),(184,1),(185,1),(226,1),(233,1),(237,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(54,1),(166,1),(224,1)}
        34:{2,3,5,6}:{(19,1),(22,1),(49,1),(53,1),(55,1),(56,1),(102,1),(106,1),(166,1),(173,1),(182,1),(224,1)}
        35:{2,5,7}:{(19,1),(20,1),(50,1),(57,1)}
        36:{1,3,6,7}:{(20,1),(21,1),(24,1),(57,1)}
        37:{2,3,5,6,7}:{(21,1),(25,1),(52,1),(58,1),(59,1),(65,1),(124,1),(185,1)}
        38:{1,3,4,6}:{(22,1),(55,1),(60,1),(61,1),(191,1),(194,1),(242,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(56,1),(61,1),(62,1),(104,1),(176,1),(271,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(57,1),(62,1),(63,1),(117,1),(119,1),(123,1),(178,1),(224,1),(270,1)}
        41:{1,5,6,7}:{(24,1),(25,1),(179,1)}
        42:{2,4,5,6,7}:{(25,1),(26,1),(59,1),(64,1),(65,1),(119,1),(124,1),(183,1)}
        43:{1,2,4,5}:{(27,1),(48,1),(66,1),(112,1),(125,1),(166,1)}
        44:{2,3,5}:{(27,1),(49,1),(66,1),(68,1)}
        45:{2,4,5,7}:{(27,1),(28,1),(50,1),(69,1),(70,1),(109,1),(175,1),(193,1),(277,1),(284,1)}
        46:{1,3,4,6}:{(28,1),(29,1),(70,1),(71,1),(128,1),(178,1),(191,1),(194,1),(302,1)}
        47:{2,3,5,6}:{(29,1),(52,1),(71,1),(72,1),(182,1),(239,1),(278,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(43,1),(73,1),(74,1),(80,1),(134,1)}
        49:{2,3,6}:{(30,1),(44,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(35,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(46,1),(77,1),(78,1),(87,1),(138,1),(146,1),(152,1),(202,1),(206,1),(215,1),(257,1),(261,1)}
        52:{2,3,5,7}:{(32,1),(47,1),(78,1),(79,1),(150,1),(214,1),(260,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(73,1),(80,1),(81,1),(136,1),(200,1),(209,1)}
        54:{1,2,5,7}:{(33,1),(35,1),(74,1),(81,1),(82,1),(197,1)}
        55:{2,4,6}:{(34,1),(38,1),(80,1),(83,1),(84,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(39,1),(76,1),(81,1),(84,1),(85,1),(135,1),(150,1),(197,1)}
        57:{2,6,7}:{(35,1),(36,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(41,1),(78,1),(86,1),(87,1),(152,1),(156,1),(215,1)}
        59:{2,4,6,7}:{(37,1),(79,1),(87,1),(88,1)}
        60:{1,3,4,5}:{(38,1),(83,1),(136,1),(218,1),(221,1),(263,1)}
        61:{1,3,4,7}:{(38,1),(39,1),(84,1),(202,1),(206,1),(251,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(85,1),(152,1),(200,1),(286,1)}
        63:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(91,1),(139,1),(150,1),(209,1),(249,1),(262,1)}
        64:{1,4,5,6,7}:{(41,1),(42,1),(87,1),(92,1),(210,1)}
        65:{3,5,6,7}:{(42,1),(88,1),(152,1),(214,1)}
        66:{1,3,5}:{(43,1),(44,1),(73,1),(93,1),(94,1)}
        67:{1,2,4,5,7}:{(43,1),(45,1),(74,1),(95,1),(96,1),(139,1),(145,1),(157,1),(197,1),(202,1),(216,1),(218,1),(250,1),(290,1),(291,1),(296,1),(309,1)}
        68:{2,3,4}:{(44,1),(94,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(76,1),(95,1),(97,1),(98,1),(162,1),(292,1),(298,1)}
        70:{2,4,6}:{(45,1),(46,1),(98,1),(99,1)}
        71:{1,3,5,6}:{(46,1),(47,1),(78,1),(99,1),(100,1),(164,1),(209,1),(293,1)}
        72:{2,4,5,6}:{(47,1),(79,1),(100,1),(101,1),(217,1)}
        73:{1,3,6}:{(48,1),(49,1),(66,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(54,1),(104,1),(113,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(68,1),(103,1),(106,1),(107,1),(173,1),(242,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(70,1),(108,1),(109,1),(175,1),(240,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(71,1),(109,1),(110,1),(176,1),(179,1),(279,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(72,1),(110,1),(111,1),(226,1)}
        80:{1,4,6}:{(53,1),(55,1),(112,1),(113,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(179,1)}
        82:{1,2,6,7}:{(54,1),(57,1),(114,1),(224,1)}
        83:{2,4,5}:{(55,1),(60,1),(106,1),(112,1),(166,1)}
        84:{2,4,7}:{(55,1),(56,1),(61,1),(113,1)}
        85:{2,3,6,7}:{(56,1),(57,1),(62,1),(114,1),(117,1),(173,1),(224,1)}
        86:{2,5,6,7}:{(57,1),(58,1),(109,1),(119,1),(240,1)}
        87:{1,4,6,7}:{(58,1),(59,1),(110,1),(119,1)}
        88:{3,4,6,7}:{(59,1),(65,1),(111,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(116,1),(121,1),(122,1),(169,1),(228,1),(232,1),(271,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(117,1),(121,1),(122,1),(123,1),(184,1)}
        91:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(122,1),(123,1),(171,1),(227,1),(238,1),(279,1)}
        92:{1,3,5,6,7}:{(64,1),(65,1),(120,1),(124,1),(236,1)}
        93:{2,3,5}:{(66,1),(102,1),(125,1),(166,1)}
        94:{1,3,4}:{(66,1),(68,1),(125,1)}
        95:{1,3,5,7}:{(66,1),(67,1),(69,1),(104,1),(126,1),(127,1),(128,1),(190,1),(271,1),(303,1),(306,1)}
        96:{1,2,4,6}:{(67,1),(70,1),(128,1),(129,1),(178,1),(188,1),(191,1),(224,1),(270,1),(302,1),(313,1)}
        97:{2,3,4,7}:{(68,1),(69,1),(127,1),(130,1),(175,1),(307,1)}
        98:{2,3,6}:{(69,1),(70,1),(128,1)}
        99:{2,5,6}:{(70,1),(71,1),(109,1)}
       100:{1,4,5,6}:{(71,1),(72,1),(110,1),(132,1),(191,1)}
       101:{3,4,5,6}:{(72,1),(111,1),(239,1),(242,1)}
       102:{2,3,6}:{(73,1),(93,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(80,1),(94,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(82,1),(96,1),(138,1),(139,1),(146,1),(198,1),(202,1),(261,1),(262,1),(291,1)}
       106:{2,3,5}:{(75,1),(83,1),(136,1),(263,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(84,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(98,1),(138,1),(142,1),(152,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(99,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(100,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(101,1),(214,1),(251,1)}
       112:{1,4,5}:{(80,1),(83,1),(136,1)}
       113:{1,4,7}:{(80,1),(81,1),(84,1)}
       114:{1,3,6,7}:{(81,1),(82,1),(85,1),(146,1),(200,1)}
       115:{1,2,5,6,7}:{(82,1),(86,1),(139,1),(147,1),(148,1),(156,1),(249,1),(260,1),(293,1)}
       116:{2,4,5,7}:{(83,1),(84,1),(89,1),(140,1),(145,1),(149,1),(150,1),(197,1)}
       117:{2,4,6,7}:{(84,1),(85,1),(90,1),(146,1),(149,1),(150,1)}
       118:{2,3,5,6,7}:{(85,1),(86,1),(91,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(204,1),(212,1),(214,1),(249,1),(260,1),(286,1)}
       119:{2,4,6,7}:{(86,1),(87,1),(143,1),(152,1)}
       120:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(144,1),(152,1),(153,1),(215,1)}
       121:{1,3,4,6}:{(89,1),(149,1),(154,1),(200,1),(252,1),(256,1),(286,1)}
       122:{1,3,5,7}:{(90,1),(150,1),(154,1),(155,1),(214,1)}
       123:{1,4,6,7}:{(91,1),(151,1),(155,1),(202,1),(252,1)}
       124:{2,5,6,7}:{(92,1),(153,1),(156,1),(260,1)}
       125:{2,4}:{(93,1),(94,1)}
       126:{2,3,5,7}:{(93,1),(95,1),(135,1),(157,1),(158,1),(197,1),(216,1),(309,1),(310,1),(311,1)}
       127:{1,3,4,7}:{(94,1),(95,1),(97,1),(157,1),(159,1),(202,1),(251,1),(312,1)}
       128:{1,3,6}:{(95,1),(96,1),(98,1),(158,1),(286,1)}
       129:{1,2,5,6}:{(96,1),(99,1),(139,1),(160,1),(209,1),(216,1),(249,1),(293,1)}
       130:{2,3,4,6}:{(97,1),(98,1),(159,1),(162,1),(163,1)}
       131:{2,3,5,6}:{(98,1),(99,1),(142,1),(160,1),(162,1),(163,1),(164,1)}
       132:{2,4,5,6}:{(99,1),(100,1),(143,1),(163,1),(164,1)}
       133:{1,3,4,5,6}:{(100,1),(101,1),(144,1),(164,1),(165,1),(219,1),(223,1),(259,1)}
       134:{2,4,6}:{(102,1),(103,1),(125,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(112,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(113,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(128,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(129,1),(171,1),(179,1),(225,1),(279,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(116,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(130,1),(170,1),(173,1),(174,1),(175,1),(184,1),(231,1),(237,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(131,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(132,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(133,1),(176,1),(177,1),(229,1),(234,1),(236,1)}
       145:{1,4,5,7}:{(112,1),(113,1),(116,1),(169,1),(178,1),(179,1)}
       146:{1,4,6,7}:{(113,1),(114,1),(117,1),(178,1),(179,1)}
       147:{1,3,5,6,7}:{(114,1),(115,1),(118,1),(171,1),(179,1),(180,1),(181,1),(227,1),(236,1)}
       148:{1,2,4,6,7}:{(115,1),(119,1),(172,1),(180,1),(181,1),(186,1),(237,1),(240,1),(270,1),(302,1),(313,1)}
       149:{2,4,6}:{(116,1),(121,1),(173,1),(178,1),(182,1),(224,1)}
       150:{2,5,7}:{(117,1),(122,1),(179,1),(182,1)}
       151:{2,4,6,7}:{(118,1),(123,1),(175,1),(180,1),(183,1),(184,1),(226,1),(231,1),(270,1)}
       152:{3,6,7}:{(119,1),(176,1)}
       153:{2,4,6,7}:{(120,1),(124,1),(177,1),(185,1),(186,1),(240,1)}
       154:{1,3,5,6}:{(121,1),(122,1),(182,1),(187,1),(239,1)}
       155:{1,4,5,7}:{(122,1),(123,1),(183,1),(187,1),(279,1)}
       156:{1,5,6,7}:{(124,1),(186,1),(279,1)}
       157:{2,4,7}:{(125,1),(126,1),(127,1),(188,1),(314,1)}
       158:{2,3,6}:{(126,1),(128,1),(188,1),(224,1),(313,1)}
       159:{1,3,4,6}:{(127,1),(128,1),(130,1),(188,1),(190,1),(191,1),(242,1)}
       160:{1,3,5,6}:{(128,1),(129,1),(131,1),(171,1),(189,1),(190,1),(191,1)}
       161:{1,2,4,5,6}:{(129,1),(132,1),(172,1),(191,1),(192,1),(196,1),(235,1),(241,1),(244,1),(248,1),(270,1),(278,1),(282,1),(283,1),(302,1),(304,1),(313,1)}
       162:{2,3,5}:{(130,1),(190,1),(193,1)}
       163:{2,4,6}:{(131,1),(175,1),(191,1),(193,1),(194,1)}
       164:{3,5,6}:{(132,1),(176,1),(194,1)}
       165:{2,4,5,6}:{(133,1),(177,1),(195,1),(196,1),(244,1),(248,1),(278,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(158,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(145,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(146,1),(159,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(261,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(160,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(148,1),(161,1),(202,1),(203,1),(208,1),(210,1),(250,1),(254,1),(258,1),(260,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(149,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(162,1),(201,1),(204,1),(205,1),(214,1),(260,1)}
       175:{2,4,7}:{(142,1),(163,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(164,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(165,1),(207,1),(208,1),(254,1),(258,1),(260,1)}
       178:{1,4,6}:{(145,1),(149,1),(200,1),(209,1)}
       179:{1,5,7}:{(146,1),(150,1),(209,1)}
       180:{1,4,6,7}:{(147,1),(151,1),(202,1),(210,1),(252,1)}
       181:{1,3,6,7}:{(148,1),(152,1),(203,1),(212,1),(286,1),(308,1)}
       182:{2,5,6}:{(149,1),(150,1),(154,1),(209,1)}
       183:{2,4,5,7}:{(150,1),(151,1),(155,1),(210,1),(213,1),(214,1),(260,1)}
       184:{3,4,6,7}:{(151,1),(152,1),(206,1),(214,1),(251,1),(256,1),(286,1)}
       185:{2,3,6,7}:{(152,1),(153,1),(207,1),(215,1)}
       186:{1,4,6,7}:{(153,1),(156,1),(208,1),(215,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(213,1),(252,1),(293,1)}
       188:{2,4,6}:{(157,1),(158,1),(159,1),(216,1)}
       189:{2,3,5,6}:{(158,1),(160,1),(199,1),(216,1),(217,1),(249,1),(263,1),(286,1)}
       190:{1,3,5}:{(159,1),(162,1),(216,1),(218,1),(263,1)}
       191:{1,4,6}:{(160,1),(163,1),(202,1),(217,1),(218,1)}
       192:{1,3,5,6}:{(161,1),(164,1),(203,1),(219,1),(220,1),(263,1),(286,1),(294,1),(297,1),(308,1)}
       193:{2,4,5}:{(162,1),(163,1),(218,1),(221,1)}
       194:{3,4,6}:{(163,1),(164,1),(206,1),(221,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(207,1),(222,1),(223,1)}
       196:{1,4,5,6}:{(165,1),(208,1),(223,1),(266,1),(293,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(188,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(189,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(178,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(179,1),(190,1),(225,1),(227,1),(228,1),(271,1),(279,1)}
       202:{1,4,7}:{(171,1),(175,1),(191,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(181,1),(192,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(182,1),(227,1),(231,1),(239,1),(278,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(193,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(194,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(195,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(196,1),(234,1),(275,1),(279,1)}
       209:{1,5,6}:{(178,1),(179,1),(182,1)}
       210:{1,4,5,7}:{(179,1),(180,1),(183,1),(235,1),(236,1)}
       211:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(229,1),(236,1),(237,1),(273,1)}
       212:{2,3,6,7}:{(181,1),(230,1),(237,1),(238,1),(240,1),(299,1),(313,1)}
       213:{2,4,5,6}:{(182,1),(183,1),(187,1),(231,1),(235,1),(239,1),(270,1),(278,1)}
       214:{3,5,7}:{(183,1),(184,1),(239,1)}
       215:{1,3,6,7}:{(185,1),(186,1),(234,1),(240,1)}
       216:{2,5}:{(188,1),(190,1)}
       217:{2,4,6}:{(189,1),(191,1),(226,1),(241,1),(242,1)}
       218:{1,4,5}:{(190,1),(191,1),(193,1),(241,1)}
       219:{1,3,4,6}:{(191,1),(192,1),(194,1),(229,1),(242,1),(243,1),(244,1)}
       220:{2,3,5,6}:{(192,1),(230,1),(244,1),(245,1),(248,1),(278,1),(280,1),(285,1),(299,1),(304,1),(305,1),(313,1)}
       221:{3,4,5}:{(193,1),(194,1)}
       222:{2,3,4,6}:{(194,1),(195,1),(233,1),(244,1),(246,1),(247,1),(305,1)}
       223:{1,3,5,6}:{(195,1),(196,1),(234,1),(247,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(216,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(217,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(209,1),(249,1),(252,1),(286,1),(293,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(218,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(219,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(212,1),(220,1),(254,1),(255,1),(258,1),(260,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(221,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(222,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(215,1),(223,1),(257,1),(258,1)}
       235:{1,4,5,6}:{(209,1),(210,1),(213,1),(252,1),(259,1)}
       236:{1,3,5,7}:{(210,1),(211,1),(214,1),(259,1),(260,1)}
       237:{2,4,6,7}:{(211,1),(212,1),(254,1),(260,1),(261,1),(289,1)}
       238:{1,3,6,7}:{(212,1),(255,1),(261,1),(262,1),(308,1)}
       239:{3,5,6}:{(213,1),(214,1),(256,1),(286,1)}
       240:{2,6,7}:{(215,1),(258,1)}
       241:{2,4,5}:{(216,1),(217,1),(218,1),(263,1)}
       242:{3,4,6}:{(217,1),(251,1),(263,1),(286,1)}
       243:{1,3,4,5}:{(218,1),(219,1),(221,1),(263,1),(265,1),(294,1)}
       244:{2,4,6}:{(219,1),(220,1),(254,1),(265,1),(266,1)}
       245:{1,3,5,6}:{(220,1),(255,1),(266,1),(267,1),(293,1),(294,1),(297,1),(308,1)}
       246:{2,3,4,5}:{(221,1),(222,1),(265,1),(268,1),(311,1)}
       247:{1,3,4,6}:{(222,1),(223,1),(257,1),(266,1),(268,1),(269,1),(297,1)}
       248:{2,5,6}:{(223,1),(258,1),(269,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(241,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(242,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(236,1),(243,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(244,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(238,1),(245,1),(275,1),(276,1),(279,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(239,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(247,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(240,1),(248,1),(277,1)}
       259:{1,3,5,6}:{(235,1),(236,1),(239,1),(273,1),(278,1)}
       260:{2,5,7}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,4,6,7}:{(237,1),(238,1),(275,1),(279,1),(302,1)}
       262:{1,2,6,7}:{(238,1),(240,1),(276,1),(313,1)}
       263:{3,5}:{(241,1),(242,1)}
       264:{2,3,4,6}:{(242,1),(244,1),(272,1),(280,1),(281,1),(285,1),(299,1),(307,1)}
       265:{2,4,5}:{(243,1),(244,1),(280,1),(282,1),(304,1)}
       266:{1,4,6}:{(244,1),(245,1),(275,1),(282,1)}
       267:{1,2,5,6}:{(245,1),(248,1),(276,1),(283,1),(304,1),(313,1)}
       268:{1,3,4,5}:{(246,1),(247,1),(282,1),(284,1),(306,1)}
       269:{2,4,6}:{(247,1),(248,1),(277,1),(284,1),(285,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(263,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(264,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(259,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(260,1),(265,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(266,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(262,1),(267,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(269,1),(292,1)}
       278:{2,5,6}:{(259,1),(260,1),(289,1),(293,1)}
       279:{1,5,7}:{(260,1),(261,1),(293,1)}
       280:{2,3,5}:{(263,1),(264,1),(265,1),(294,1)}
       281:{1,3,4,6}:{(264,1),(266,1),(288,1),(294,1),(295,1),(297,1),(308,1),(312,1)}
       282:{1,4,5}:{(265,1),(266,1),(294,1)}
       283:{1,2,4,6}:{(266,1),(267,1),(269,1),(291,1),(295,1),(296,1),(297,1)}
       284:{2,4,5}:{(268,1),(269,1),(298,1)}
       285:{2,3,6}:{(269,1),(292,1),(297,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(280,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(281,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(278,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(279,1),(282,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(283,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(285,1),(303,1)}
       293:{1,5,6}:{(278,1),(279,1),(302,1)}
       294:{1,3,5}:{(280,1),(281,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       296:{1,2,4,5}:{(282,1),(283,1),(284,1),(304,1),(306,1),(314,1)}
       297:{1,3,6}:{(283,1),(285,1),(303,1),(305,1),(306,1)}
       298:{2,3,5}:{(284,1),(285,1),(306,1),(307,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(294,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(295,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(293,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(297,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{2,3,6}:{(295,1),(297,1),(310,1),(311,1)}
       306:{1,3,5}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       307:{2,3,4}:{(298,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1632 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(81,1),(326,1),(345,1),(359,1),(363,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(35,1),(43,1),(225,1),(241,1),(260,1),(363,1),(367,1),(448,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(113,1),(308,1),(311,1),(410,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(54,1),(275,1),(293,1),(394,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(52,1),(313,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(40,1),(43,1),(239,1),(255,1),(258,1),(345,1),(368,1),(435,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(151,1),(448,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(448,1),(452,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(79,1),(435,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(43,1),(241,1),(265,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(52,1),(63,1),(105,1),(130,1),(182,1),(191,1),(316,1),(319,1),(413,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(60,1),(67,1),(109,1),(113,1),(190,1),(206,1),(208,1),(297,1),(321,1),(398,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(291,1),(414,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(130,1),(311,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(293,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(52,1),(67,1),(196,1),(219,1)}
        18:{1,2,5,6,7}:{(13,1),(31,1),(33,1),(151,1),(231,1),(330,1),(339,1),(344,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(77,1),(79,1),(142,1),(151,1),(229,1),(240,1),(344,1),(348,1),(435,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(32,1),(34,1),(35,1),(43,1),(241,1),(369,1)}
        21:{1,3,4,6,7}:{(11,1),(36,1),(37,1),(46,1),(87,1),(97,1),(152,1),(159,1),(161,1),(248,1),(271,1),(352,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(37,1),(38,1),(39,1),(147,1),(151,1),(238,1),(371,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(38,1),(40,1),(43,1),(258,1),(262,1)}
        24:{1,4,5,7}:{(12,1),(39,1),(40,1),(435,1),(452,1)}
        25:{1,3,4,5}:{(15,1),(32,1),(42,1),(452,1),(453,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(43,1),(44,1)}
        28:{2,3,5}:{(15,1),(17,1),(42,1),(45,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(44,1),(46,1),(79,1),(245,1)}
        30:{1,3,4,6}:{(17,1),(45,1),(46,1),(47,1),(80,1),(97,1),(154,1),(175,1)}
        31:{1,3,5,6,7}:{(18,1),(23,1),(49,1),(50,1),(53,1),(112,1),(288,1),(291,1),(394,1)}
        32:{1,3,4,6}:{(20,1),(25,1),(51,1),(52,1),(413,1),(415,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(50,1),(53,1),(113,1),(184,1),(279,1),(379,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(53,1),(54,1),(293,1),(397,1)}
        35:{2,3,5,6}:{(20,1),(28,1),(52,1),(54,1),(55,1),(67,1),(130,1),(182,1),(196,1)}
        36:{1,2,4,6,7}:{(21,1),(56,1),(57,1),(70,1),(120,1),(121,1),(134,1),(190,1),(223,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(197,1),(323,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(67,1),(126,1),(130,1),(208,1),(211,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(61,1),(398,1),(416,1)}
        40:{1,4,6}:{(23,1),(24,1),(60,1)}
        41:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(51,1),(61,1),(64,1),(65,1),(112,1)}
        42:{2,4,5}:{(25,1),(28,1),(52,1),(66,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(29,1),(65,1),(67,1),(68,1)}
        45:{1,3,5}:{(28,1),(30,1),(66,1),(69,1)}
        46:{1,3,4,7}:{(29,1),(30,1),(68,1),(70,1),(114,1),(199,1)}
        47:{1,2,4,6}:{(30,1),(69,1),(70,1),(71,1),(134,1),(136,1)}
        48:{1,3,4,5,6}:{(32,1),(72,1),(73,1),(93,1),(139,1),(167,1),(234,1),(266,1),(369,1),(427,1)}
        49:{2,3,5,6,7}:{(31,1),(38,1),(74,1),(75,1),(81,1),(147,1),(151,1),(236,1),(238,1),(330,1),(349,1),(422,1)}
        50:{1,4,6,7}:{(31,1),(40,1),(75,1),(77,1),(435,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(79,1),(435,1),(438,1)}
        52:{2,4,6}:{(32,1),(35,1),(42,1),(79,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1),(43,1),(81,1),(422,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(151,1),(229,1),(245,1)}
        55:{1,3,5,6}:{(35,1),(45,1),(80,1),(82,1),(83,1),(97,1),(154,1),(172,1)}
        56:{1,2,3,6,7}:{(36,1),(84,1),(100,1),(161,1),(176,1),(236,1),(248,1),(485,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(85,1),(238,1),(272,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(85,1),(87,1),(97,1),(161,1),(172,1)}
        59:{1,4,5,7}:{(37,1),(39,1),(87,1),(352,1),(372,1)}
        60:{2,4,6}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{3,4,5,7}:{(39,1),(90,1),(147,1),(438,1),(453,1)}
        62:{2,3,4,5}:{(42,1),(76,1),(92,1),(171,1),(333,1),(453,1)}
        63:{1,4,5,6}:{(40,1),(77,1),(89,1),(93,1),(262,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(90,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(44,1),(79,1),(94,1),(95,1),(151,1)}
        66:{1,4,5}:{(42,1),(45,1),(80,1)}
        67:{2,3,6}:{(43,1),(44,1),(94,1),(97,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(46,1),(95,1),(97,1),(98,1)}
        69:{1,2,5}:{(45,1),(47,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(98,1),(100,1)}
        71:{1,2,3,6}:{(47,1),(99,1),(100,1),(154,1)}
        72:{1,3,4,5,7}:{(48,1),(51,1),(103,1),(104,1),(112,1),(181,1),(192,1),(284,1),(295,1),(384,1),(397,1)}
        73:{2,4,5,6}:{(48,1),(52,1),(101,1),(104,1),(105,1),(130,1),(182,1),(281,1),(461,1)}
        74:{1,3,5,6,7}:{(49,1),(58,1),(106,1),(107,1),(116,1),(188,1),(189,1),(197,1),(300,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(60,1),(107,1),(108,1),(109,1),(398,1)}
        76:{2,3,4,6}:{(52,1),(62,1),(101,1),(110,1),(111,1),(196,1),(281,1),(415,1)}
        77:{1,4,5,7}:{(50,1),(63,1),(108,1),(112,1),(291,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(64,1),(109,1),(112,1),(113,1)}
        79:{2,4,7}:{(51,1),(52,1),(54,1),(114,1)}
        80:{1,4,6}:{(52,1),(55,1),(66,1),(114,1)}
        81:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(116,1),(279,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(114,1),(116,1),(117,1),(197,1),(199,1)}
        83:{1,2,5,6}:{(55,1),(69,1),(115,1),(117,1),(134,1),(182,1)}
        84:{1,2,3,5,7}:{(56,1),(57,1),(119,1),(120,1),(122,1),(287,1),(300,1),(468,1),(515,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(121,1),(134,1),(211,1)}
        86:{1,2,4,5,7}:{(57,1),(59,1),(120,1),(121,1),(122,1),(125,1),(204,1)}
        87:{1,4,6}:{(58,1),(59,1),(60,1)}
        88:{1,3,4,5,7}:{(59,1),(61,1),(122,1),(124,1),(125,1),(189,1),(286,1),(305,1)}
        89:{2,4,5,6}:{(60,1),(63,1),(108,1),(123,1),(126,1),(130,1),(211,1)}
        90:{3,4,6}:{(60,1),(61,1),(126,1)}
        91:{2,3,4,5,7}:{(61,1),(62,1),(65,1),(110,1),(125,1),(127,1),(128,1),(193,1),(218,1),(382,1),(386,1),(398,1),(403,1),(416,1),(473,1),(520,1)}
        92:{1,3,4,5}:{(62,1),(66,1),(111,1),(129,1),(133,1),(214,1),(378,1)}
        93:{1,3,5,6}:{(63,1),(64,1),(112,1),(126,1),(130,1)}
        94:{2,4,6}:{(64,1),(65,1),(67,1),(130,1),(131,1)}
        95:{1,4,5,7}:{(65,1),(66,1),(68,1),(114,1),(131,1),(197,1)}
        96:{1,2,4,5}:{(66,1),(69,1),(115,1),(129,1),(133,1),(136,1)}
        97:{1,3,6}:{(67,1),(68,1),(131,1),(134,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(134,1)}
        99:{1,2,3,5}:{(69,1),(71,1),(133,1),(136,1)}
       100:{1,2,3,7}:{(70,1),(71,1),(199,1)}
       101:{2,3,5,6}:{(73,1),(76,1),(138,1),(139,1),(369,1)}
       102:{1,4,5,6,7}:{(77,1),(137,1),(140,1),(325,1),(329,1),(426,1)}
       103:{1,3,4,6,7}:{(72,1),(140,1),(141,1),(226,1),(228,1),(329,1),(422,1)}
       104:{2,4,5,7}:{(72,1),(73,1),(79,1),(138,1),(141,1),(142,1),(151,1),(229,1),(332,1),(424,1)}
       105:{1,4,5,6}:{(73,1),(80,1),(139,1),(142,1),(172,1),(328,1),(489,1)}
       106:{1,2,5,6,7}:{(74,1),(85,1),(144,1),(155,1),(238,1),(247,1),(325,1),(330,1)}
       107:{1,4,6,7}:{(74,1),(75,1),(87,1),(145,1),(352,1)}
       108:{2,4,5,7}:{(75,1),(77,1),(89,1),(145,1),(147,1),(151,1),(238,1)}
       109:{3,4,6,7}:{(75,1),(90,1),(147,1),(422,1),(438,1)}
       110:{2,3,4,7}:{(76,1),(79,1),(138,1),(149,1),(245,1),(332,1),(438,1)}
       111:{1,3,4,6}:{(76,1),(80,1),(92,1),(139,1),(149,1),(150,1),(154,1),(241,1),(328,1)}
       112:{1,3,5,7}:{(77,1),(78,1),(93,1),(147,1),(151,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(81,1),(94,1),(151,1),(152,1)}
       114:{1,4,7}:{(79,1),(80,1),(82,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(96,1),(150,1),(153,1),(154,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(97,1),(152,1),(155,1)}
       117:{1,2,5,7}:{(82,1),(83,1),(153,1),(155,1),(229,1)}
       118:{1,2,3,5,6}:{(83,1),(99,1),(154,1),(156,1),(157,1),(176,1),(230,1),(250,1),(270,1),(272,1),(354,1),(355,1)}
       119:{1,2,3,5,6}:{(84,1),(85,1),(158,1),(161,1),(176,1),(253,1),(257,1),(270,1),(272,1),(449,1),(505,1),(537,1)}
       120:{1,2,4,7}:{(84,1),(158,1),(159,1),(337,1),(352,1)}
       121:{1,2,4,6}:{(85,1),(86,1),(87,1),(161,1),(164,1)}
       122:{1,3,5,7}:{(86,1),(159,1),(161,1),(162,1),(253,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(145,1),(163,1),(172,1)}
       124:{1,3,4,6}:{(87,1),(88,1),(90,1),(161,1),(163,1),(164,1)}
       125:{2,4,5,7}:{(88,1),(162,1),(164,1),(165,1),(238,1),(337,1),(356,1)}
       126:{3,5,6}:{(89,1),(90,1),(147,1)}
       127:{2,3,4,6}:{(90,1),(91,1),(94,1),(164,1),(168,1),(169,1),(268,1),(370,1),(425,1),(501,1),(536,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(95,1),(149,1),(165,1),(169,1),(170,1),(174,1),(243,1),(264,1),(352,1),(372,1),(421,1),(428,1),(435,1),(438,1),(442,1),(452,1),(453,1),(535,1)}
       129:{2,4,5}:{(92,1),(150,1),(171,1)}
       130:{2,5,6}:{(93,1),(94,1),(151,1),(172,1)}
       131:{1,4,6}:{(94,1),(95,1),(97,1),(172,1)}
       132:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(153,1),(170,1),(173,1),(174,1),(177,1),(247,1),(272,1),(352,1),(372,1),(492,1),(502,1),(535,1),(550,1)}
       133:{1,3,5}:{(96,1),(154,1),(171,1),(175,1)}
       134:{1,2,6}:{(97,1),(98,1)}
       135:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(174,1),(176,1),(177,1),(272,1),(531,1),(537,1),(550,1)}
       136:{1,2,4}:{(99,1),(175,1)}
       137:{2,4,5,6,7}:{(102,1),(108,1),(178,1),(179,1),(183,1),(274,1),(277,1),(379,1),(460,1)}
       138:{2,3,5,7}:{(101,1),(104,1),(110,1),(180,1),(181,1),(397,1)}
       139:{1,3,5,6}:{(101,1),(105,1),(111,1),(181,1),(182,1)}
       140:{1,3,5,6,7}:{(102,1),(103,1),(112,1),(179,1),(183,1),(384,1)}
       141:{2,4,6,7}:{(103,1),(104,1),(180,1),(183,1),(184,1),(279,1)}
       142:{1,4,5,7}:{(104,1),(105,1),(114,1),(181,1),(184,1),(197,1),(377,1),(457,1)}
       143:{1,2,4,5,6}:{(105,1),(115,1),(182,1),(185,1),(186,1),(203,1),(220,1),(281,1),(304,1),(319,1),(322,1),(461,1),(462,1)}
       144:{1,2,4,6,7}:{(106,1),(107,1),(121,1),(187,1),(188,1),(190,1),(374,1),(379,1),(454,1)}
       145:{1,4,5,7}:{(107,1),(108,1),(123,1),(189,1),(197,1)}
       146:{1,3,4,6,7}:{(107,1),(109,1),(124,1),(188,1),(189,1),(190,1),(286,1)}
       147:{3,5,7}:{(108,1),(109,1),(126,1)}
       148:{2,3,4,6,7}:{(109,1),(110,1),(113,1),(127,1),(180,1),(190,1),(193,1),(194,1),(277,1),(297,1),(373,1),(381,1),(386,1),(398,1),(459,1),(511,1)}
       149:{1,3,4,7}:{(110,1),(111,1),(114,1),(181,1),(195,1),(199,1),(293,1),(377,1)}
       150:{2,4,6}:{(111,1),(129,1),(182,1),(195,1),(196,1)}
       151:{2,5,7}:{(112,1),(113,1),(130,1),(197,1)}
       152:{1,4,6,7}:{(113,1),(114,1),(116,1),(131,1),(197,1)}
       153:{1,2,4,7}:{(114,1),(115,1),(117,1),(195,1),(199,1)}
       154:{1,3,6}:{(115,1),(133,1),(196,1),(199,1)}
       155:{1,2,6,7}:{(116,1),(117,1),(134,1),(279,1)}
       156:{1,2,3,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(280,1),(300,1),(302,1),(303,1)}
       157:{1,2,4,6}:{(118,1),(136,1),(200,1),(202,1),(203,1),(281,1),(322,1)}
       158:{1,2,4,6}:{(119,1),(120,1),(204,1),(205,1),(309,1),(322,1),(547,1)}
       159:{1,3,4,7}:{(120,1),(122,1),(205,1),(206,1),(515,1)}
       160:{1,2,4,5,6}:{(121,1),(123,1),(187,1),(204,1),(207,1),(211,1),(220,1),(309,1),(315,1),(319,1),(322,1),(411,1),(478,1)}
       161:{1,3,6}:{(121,1),(122,1),(208,1)}
       162:{2,3,5,7}:{(122,1),(125,1),(206,1),(208,1),(209,1),(306,1)}
       163:{1,3,5,6}:{(123,1),(124,1),(126,1),(189,1),(211,1)}
       164:{2,4,6}:{(124,1),(125,1),(208,1),(211,1),(212,1)}
       165:{1,4,5,7}:{(125,1),(209,1),(212,1),(291,1),(387,1),(404,1)}
       166:{1,2,4,5}:{(129,1),(191,1),(214,1),(313,1),(378,1),(391,1)}
       167:{3,4,5,6}:{(126,1),(192,1),(215,1),(415,1),(514,1)}
       168:{2,3,5,6}:{(126,1),(127,1),(130,1),(193,1),(211,1),(215,1),(216,1),(461,1),(514,1),(542,1)}
       169:{1,3,4,6}:{(127,1),(128,1),(131,1),(212,1),(216,1),(217,1),(221,1),(317,1),(322,1),(413,1),(415,1),(458,1),(546,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(195,1),(217,1),(218,1),(296,1),(398,1),(416,1),(463,1),(475,1)}
       171:{2,3,5}:{(129,1),(133,1),(196,1),(214,1),(219,1)}
       172:{1,5,6}:{(130,1),(131,1),(197,1)}
       173:{1,2,4,6}:{(131,1),(132,1),(134,1),(217,1),(220,1),(221,1),(322,1),(546,1),(552,1)}
       174:{1,3,5,7}:{(132,1),(133,1),(199,1),(218,1),(221,1),(222,1),(323,1),(515,1),(522,1)}
       175:{1,3,4}:{(133,1),(136,1),(219,1)}
       176:{1,2,3,6}:{(134,1),(135,1),(221,1),(223,1),(552,1)}
       177:{1,2,4,7}:{(135,1),(136,1),(222,1),(223,1),(547,1)}
       178:{1,4,5,6,7}:{(137,1),(145,1),(224,1),(231,1),(329,1),(488,1)}
       179:{3,5,6,7}:{(137,1),(147,1),(226,1),(422,1),(490,1)}
       180:{2,3,6,7}:{(138,1),(141,1),(228,1),(422,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(228,1),(229,1)}
       182:{2,5,6}:{(139,1),(150,1),(229,1)}
       183:{2,5,6,7}:{(140,1),(141,1),(151,1),(231,1),(424,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(228,1),(231,1)}
       185:{1,2,4,5,7}:{(142,1),(143,1),(153,1),(229,1),(232,1),(233,1),(247,1),(332,1),(348,1),(352,1),(424,1),(426,1)}
       186:{1,3,5,6}:{(143,1),(154,1),(230,1),(233,1),(234,1),(250,1),(354,1),(369,1)}
       187:{1,2,4,5,7}:{(144,1),(145,1),(160,1),(235,1),(238,1),(247,1),(337,1),(343,1),(348,1),(352,1),(433,1),(492,1)}
       188:{1,3,6,7}:{(144,1),(161,1),(235,1),(236,1),(422,1)}
       189:{1,3,5,7}:{(145,1),(146,1),(147,1),(163,1),(238,1)}
       190:{2,4,6,7}:{(146,1),(164,1),(236,1),(238,1),(239,1),(337,1)}
       191:{1,2,4,6}:{(150,1),(166,1),(225,1),(240,1),(241,1),(328,1)}
       192:{3,4,5,7}:{(147,1),(167,1),(226,1),(242,1),(438,1),(490,1)}
       193:{2,3,5,7}:{(147,1),(148,1),(151,1),(168,1),(238,1),(242,1),(243,1),(424,1),(490,1),(529,1)}
       194:{1,3,4,6,7}:{(148,1),(149,1),(152,1),(169,1),(228,1),(239,1),(243,1),(244,1),(248,1),(329,1),(345,1),(352,1),(417,1),(420,1),(422,1),(428,1),(435,1),(438,1),(528,1)}
       195:{2,4,7}:{(149,1),(150,1),(229,1),(245,1)}
       196:{2,3,6}:{(150,1),(154,1),(171,1),(241,1),(245,1)}
       197:{1,5,7}:{(151,1),(152,1),(172,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(173,1),(244,1),(247,1),(248,1),(352,1),(485,1),(492,1),(528,1)}
       199:{1,3,7}:{(153,1),(154,1),(245,1)}
       200:{1,3,4,6}:{(154,1),(157,1),(175,1),(246,1),(249,1),(250,1),(354,1)}
       201:{1,2,3,6,7}:{(155,1),(156,1),(176,1),(248,1),(251,1),(331,1),(354,1),(531,1)}
       202:{1,2,4,7}:{(156,1),(157,1),(249,1),(332,1),(352,1)}
       203:{1,2,4,5}:{(157,1),(250,1),(272,1),(333,1),(372,1)}
       204:{1,2,4,5}:{(158,1),(253,1),(272,1),(356,1),(372,1)}
       205:{1,3,4,6}:{(158,1),(159,1),(161,1),(253,1),(254,1),(505,1),(538,1)}
       206:{2,3,4,7}:{(159,1),(162,1),(254,1),(255,1),(337,1),(493,1)}
       207:{1,3,5,6}:{(160,1),(161,1),(235,1),(253,1),(256,1),(257,1),(369,1),(505,1)}
       208:{2,3,6}:{(161,1),(162,1),(164,1),(258,1)}
       209:{1,3,5,7}:{(162,1),(165,1),(255,1),(258,1),(259,1),(357,1)}
       210:{1,3,4,5,6}:{(163,1),(167,1),(237,1),(256,1),(261,1),(266,1),(365,1),(369,1),(451,1),(530,1)}
       211:{2,5,6}:{(163,1),(164,1),(238,1),(262,1)}
       212:{1,4,6}:{(164,1),(165,1),(258,1),(262,1)}
       213:{1,2,4,5,7}:{(165,1),(166,1),(170,1),(240,1),(259,1),(263,1),(264,1),(344,1),(364,1),(421,1),(429,1),(432,1),(435,1),(443,1),(448,1),(452,1)}
       214:{1,3,5}:{(166,1),(171,1),(241,1),(265,1)}
       215:{2,4,5,6}:{(167,1),(168,1),(242,1),(266,1),(370,1)}
       216:{1,3,5,6}:{(168,1),(169,1),(172,1),(243,1),(262,1),(266,1),(267,1),(369,1),(489,1),(549,1)}
       217:{2,4,6}:{(169,1),(170,1),(267,1),(268,1)}
       218:{2,3,5,7}:{(170,1),(171,1),(174,1),(245,1),(264,1),(268,1),(269,1),(371,1),(493,1),(503,1)}
       219:{2,3,4}:{(171,1),(175,1),(265,1)}
       220:{1,2,5,6}:{(172,1),(173,1),(247,1),(267,1),(270,1),(272,1),(549,1)}
       221:{1,3,6}:{(173,1),(174,1),(268,1)}
       222:{1,3,4,7}:{(174,1),(175,1),(177,1),(269,1),(271,1),(352,1),(538,1)}
       223:{1,2,4,6}:{(176,1),(177,1),(271,1),(272,1)}
       224:{1,3,5,6,7}:{(178,1),(179,1),(189,1),(273,1),(274,1),(512,1)}
       225:{1,2,5,6}:{(182,1),(191,1),(275,1),(276,1),(391,1),(467,1)}
       226:{3,4,6,7}:{(179,1),(192,1),(277,1)}
       227:{2,3,5,6,7}:{(179,1),(180,1),(183,1),(193,1),(274,1),(277,1),(278,1),(373,1)}
       228:{1,3,6,7}:{(180,1),(181,1),(184,1),(279,1)}
       229:{2,5,7}:{(181,1),(182,1),(195,1),(279,1)}
       230:{2,3,5,6}:{(182,1),(186,1),(196,1),(276,1),(280,1),(281,1),(299,1),(400,1),(461,1)}
       231:{1,5,6,7}:{(183,1),(184,1),(197,1),(457,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(279,1),(282,1),(283,1),(304,1),(379,1),(381,1),(383,1)}
       233:{1,3,5,7}:{(185,1),(186,1),(199,1),(280,1),(283,1),(284,1),(397,1)}
       234:{1,3,4,6}:{(186,1),(281,1),(284,1),(285,1),(322,1),(415,1)}
       235:{1,3,5,7}:{(187,1),(188,1),(207,1),(286,1),(287,1),(397,1),(515,1)}
       236:{2,3,6,7}:{(188,1),(190,1),(208,1),(287,1),(288,1),(454,1)}
       237:{1,3,4,5,7}:{(189,1),(192,1),(210,1),(273,1),(286,1),(290,1),(295,1),(392,1),(397,1),(470,1),(512,1)}
       238:{2,5,7}:{(189,1),(190,1),(211,1),(291,1)}
       239:{1,4,6,7}:{(190,1),(212,1),(288,1),(291,1),(387,1)}
       240:{1,2,4,7}:{(191,1),(195,1),(275,1),(293,1),(377,1)}
       241:{1,3,6}:{(191,1),(196,1),(214,1),(293,1)}
       242:{2,4,5,7}:{(192,1),(193,1),(215,1),(277,1),(295,1),(398,1)}
       243:{1,3,5,7}:{(193,1),(194,1),(197,1),(216,1),(291,1),(295,1),(296,1),(397,1),(457,1),(541,1)}
       244:{2,4,6,7}:{(194,1),(195,1),(217,1),(279,1),(296,1),(297,1),(398,1),(454,1),(463,1)}
       245:{2,3,7}:{(195,1),(196,1),(199,1),(293,1)}
       246:{2,3,4,6}:{(196,1),(200,1),(219,1),(281,1),(294,1),(298,1),(299,1),(400,1)}
       247:{1,2,5,7}:{(197,1),(198,1),(220,1),(296,1),(300,1),(541,1)}
       248:{1,3,6,7}:{(198,1),(199,1),(221,1),(297,1),(300,1),(515,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(202,1),(298,1),(302,1)}
       250:{1,3,5}:{(200,1),(203,1),(299,1)}
       251:{1,2,4,6,7}:{(201,1),(202,1),(223,1),(301,1),(303,1),(304,1),(381,1),(543,1),(552,1)}
       252:{1,2,4,5,7}:{(202,1),(203,1),(302,1),(303,1),(304,1),(382,1),(401,1)}
       253:{1,3,5}:{(204,1),(205,1),(306,1)}
       254:{2,3,4,6}:{(205,1),(206,1),(208,1),(306,1),(307,1),(309,1),(479,1),(523,1)}
       255:{1,3,4,7}:{(206,1),(209,1),(307,1),(308,1),(387,1),(464,1)}
       256:{1,3,4,6}:{(207,1),(286,1),(305,1),(309,1),(322,1),(415,1)}
       257:{2,3,5,6}:{(207,1),(208,1),(211,1),(287,1),(306,1),(309,1),(310,1),(411,1),(479,1)}
       258:{1,3,6}:{(208,1),(209,1),(212,1),(311,1)}
       259:{1,2,5,7}:{(209,1),(308,1),(311,1),(405,1)}
       260:{1,2,3,5}:{(214,1),(289,1),(313,1),(391,1)}
       261:{2,4,5,6}:{(210,1),(211,1),(290,1),(309,1),(314,1),(315,1),(411,1),(483,1),(542,1)}
       262:{1,5,6}:{(211,1),(212,1),(291,1)}
       263:{1,2,4,6}:{(212,1),(213,1),(217,1),(311,1),(316,1),(317,1),(413,1),(458,1),(467,1)}
       264:{1,3,5,7}:{(213,1),(214,1),(218,1),(293,1),(317,1),(318,1),(414,1),(464,1),(476,1)}
       265:{1,3,4}:{(214,1),(219,1),(313,1)}
       266:{1,4,5,6}:{(215,1),(216,1),(295,1),(319,1),(322,1),(413,1)}
       267:{2,5,6}:{(216,1),(217,1),(296,1)}
       268:{2,3,6}:{(217,1),(218,1),(221,1),(317,1)}
       269:{2,3,4,7}:{(218,1),(219,1),(222,1),(318,1),(321,1),(398,1),(523,1)}
       270:{1,3,5,6}:{(220,1),(221,1),(300,1),(320,1),(322,1),(323,1)}
       271:{1,3,4,6}:{(221,1),(222,1),(223,1),(321,1),(322,1),(323,1)}
       272:{1,2,5}:{(223,1),(323,1)}
       273:{1,3,4,6,7}:{(224,1),(226,1),(237,1),(324,1),(329,1),(417,1),(422,1)}
       274:{2,5,6,7}:{(224,1),(238,1),(324,1),(325,1),(529,1)}
       275:{1,2,5,7}:{(225,1),(229,1),(240,1),(326,1),(327,1)}
       276:{1,3,5,6}:{(225,1),(230,1),(241,1),(327,1),(328,1),(347,1),(437,1),(489,1)}
       277:{2,4,6,7}:{(226,1),(227,1),(242,1),(329,1)}
       278:{1,3,5,6,7}:{(227,1),(228,1),(231,1),(243,1),(325,1),(329,1),(330,1),(417,1),(422,1)}
       279:{2,6,7}:{(228,1),(229,1)}
       280:{2,3,5,7}:{(229,1),(230,1),(233,1),(245,1),(327,1),(331,1),(332,1),(424,1)}
       281:{2,4,6}:{(230,1),(234,1),(328,1),(332,1),(333,1)}
       282:{1,2,5,6,7}:{(231,1),(232,1),(247,1),(330,1),(334,1),(355,1),(424,1),(485,1)}
       283:{1,3,6,7}:{(232,1),(233,1),(331,1),(354,1),(422,1)}
       284:{1,3,4,7}:{(233,1),(234,1),(332,1),(352,1),(438,1)}
       285:{1,3,4,5}:{(234,1),(250,1),(333,1),(372,1),(453,1)}
       286:{1,3,4,7}:{(235,1),(256,1),(337,1),(352,1),(438,1)}
       287:{2,3,5,7}:{(235,1),(236,1),(238,1),(257,1),(337,1),(338,1),(433,1),(493,1)}
       288:{1,3,6,7}:{(236,1),(239,1),(258,1),(338,1),(339,1)}
       289:{1,2,3,6}:{(241,1),(260,1),(340,1),(341,1)}
       290:{2,4,5,7}:{(237,1),(238,1),(261,1),(324,1),(337,1),(342,1),(343,1),(433,1),(498,1),(529,1)}
       291:{1,5,7}:{(238,1),(239,1),(262,1)}
       292:{1,2,4,6,7}:{(239,1),(240,1),(244,1),(263,1),(326,1),(339,1),(344,1),(345,1),(420,1),(429,1),(435,1)}
       293:{1,3,7}:{(240,1),(241,1),(245,1)}
       294:{1,3,4,6}:{(241,1),(246,1),(265,1),(328,1),(341,1),(346,1),(347,1),(437,1)}
       295:{1,4,5,7}:{(242,1),(243,1),(266,1),(329,1),(348,1),(352,1),(435,1)}
       296:{2,5,7}:{(243,1),(244,1),(267,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(248,1),(268,1),(345,1),(349,1),(422,1),(493,1)}
       298:{2,3,4,7}:{(245,1),(246,1),(249,1),(332,1),(346,1),(351,1)}
       299:{2,3,5}:{(246,1),(250,1),(333,1),(347,1)}
       300:{1,3,5,7}:{(247,1),(248,1),(270,1),(349,1),(352,1)}
       301:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(271,1),(350,1),(352,1),(353,1),(354,1),(441,1),(528,1),(532,1),(551,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(252,1),(351,1),(354,1)}
       303:{1,2,5,7}:{(251,1),(272,1),(353,1),(355,1),(424,1)}
       304:{1,2,4,6}:{(252,1),(354,1),(355,1),(425,1),(441,1)}
       305:{1,3,4,5}:{(253,1),(256,1),(356,1),(372,1),(453,1)}
       306:{2,3,5}:{(253,1),(254,1),(356,1),(357,1)}
       307:{1,3,4,6}:{(254,1),(255,1),(258,1),(357,1),(358,1),(361,1),(446,1),(504,1)}
       308:{1,2,4,7}:{(255,1),(259,1),(358,1),(359,1)}
       309:{2,4,6}:{(256,1),(257,1),(337,1),(356,1),(361,1)}
       310:{1,3,5,6}:{(257,1),(258,1),(262,1),(338,1),(357,1),(361,1),(362,1),(446,1)}
       311:{1,2,6}:{(258,1),(259,1)}
       312:{1,2,3,5,7}:{(259,1),(260,1),(264,1),(340,1),(359,1),(363,1),(364,1),(432,1),(444,1),(448,1)}
       313:{1,2,4}:{(260,1),(265,1)}
       314:{2,3,5,6}:{(261,1),(342,1),(360,1),(365,1),(369,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(343,1),(361,1),(365,1),(508,1),(549,1)}
       316:{1,2,5,6}:{(262,1),(263,1),(267,1),(344,1),(367,1),(448,1),(489,1)}
       317:{1,3,6}:{(263,1),(264,1),(268,1)}
       318:{1,3,4,7}:{(264,1),(265,1),(269,1),(364,1),(368,1),(435,1),(504,1)}
       319:{2,4,5,6}:{(266,1),(267,1),(348,1),(369,1),(370,1)}
       320:{2,3,5,6}:{(267,1),(268,1),(270,1),(349,1),(367,1),(369,1),(370,1),(371,1)}
       321:{2,3,4,6}:{(268,1),(269,1),(271,1),(368,1),(370,1),(371,1)}
       322:{1,4,6}:{(270,1),(352,1),(370,1),(372,1)}
       323:{1,3,5}:{(271,1),(272,1),(371,1),(372,1)}
       324:{2,4,6,7}:{(273,1),(274,1),(290,1),(373,1),(374,1),(454,1)}
       325:{1,5,6,7}:{(274,1),(291,1),(374,1),(541,1)}
       326:{1,2,6,7}:{(275,1),(279,1),(376,1),(467,1)}
       327:{1,3,5,7}:{(275,1),(276,1),(280,1),(293,1),(376,1),(377,1),(457,1)}
       328:{1,4,6}:{(276,1),(281,1),(377,1),(378,1)}
       329:{1,4,6,7}:{(277,1),(278,1),(295,1),(379,1)}
       330:{2,5,6,7}:{(278,1),(279,1),(296,1),(379,1),(454,1)}
       331:{2,3,6,7}:{(279,1),(280,1),(283,1),(376,1),(381,1),(400,1)}
       332:{2,4,7}:{(280,1),(281,1),(284,1),(377,1)}
       333:{2,4,5}:{(281,1),(285,1),(299,1),(378,1)}
       334:{1,3,5,6,7}:{(282,1),(283,1),(300,1),(380,1),(383,1),(384,1),(402,1),(510,1),(541,1)}
       335:{1,3,4,6,7}:{(283,1),(284,1),(381,1),(383,1),(384,1),(385,1),(459,1)}
       336:{1,3,4,5,7}:{(284,1),(285,1),(302,1),(382,1),(384,1),(385,1),(401,1),(473,1)}
       337:{2,4,7}:{(286,1),(287,1),(309,1),(387,1)}
       338:{1,3,5,7}:{(287,1),(288,1),(291,1),(310,1),(387,1),(388,1),(464,1)}
       339:{1,2,6,7}:{(288,1),(311,1),(388,1),(454,1)}
       340:{1,2,3,7}:{(289,1),(293,1),(390,1)}
       341:{1,2,4,6}:{(289,1),(294,1),(313,1),(390,1),(391,1),(467,1)}
       342:{2,3,5,7}:{(290,1),(314,1),(373,1),(386,1),(392,1),(397,1)}
       343:{1,4,5,7}:{(290,1),(291,1),(315,1),(374,1),(387,1),(392,1),(519,1),(541,1)}
       344:{1,2,5,7}:{(291,1),(292,1),(296,1),(316,1),(394,1),(457,1)}
       345:{1,3,6,7}:{(292,1),(293,1),(297,1),(317,1),(394,1),(464,1)}
       346:{1,3,4,7}:{(293,1),(294,1),(298,1),(377,1),(390,1),(396,1)}
       347:{1,3,5}:{(294,1),(299,1),(378,1),(391,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(319,1),(379,1),(397,1),(398,1)}
       349:{2,3,5,7}:{(296,1),(297,1),(300,1),(320,1),(394,1),(397,1),(398,1)}
       350:{2,3,4,6,7}:{(297,1),(298,1),(301,1),(321,1),(381,1),(395,1),(398,1),(399,1),(400,1),(459,1),(474,1),(511,1),(516,1),(545,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(302,1),(382,1),(396,1),(400,1)}
       352:{1,4,7}:{(300,1),(322,1),(398,1)}
       353:{1,3,5,7}:{(301,1),(303,1),(323,1),(399,1),(401,1),(402,1),(541,1)}
       354:{1,3,6}:{(302,1),(304,1),(400,1)}
       355:{1,2,5,6}:{(303,1),(304,1),(402,1),(461,1),(552,1)}
       356:{2,4,5}:{(305,1),(306,1),(309,1),(404,1)}
       357:{1,3,5}:{(306,1),(307,1),(404,1),(405,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(311,1),(405,1),(406,1),(477,1)}
       359:{1,2,3,7}:{(308,1),(406,1),(464,1)}
       360:{2,3,4,6}:{(309,1),(314,1),(386,1),(403,1),(407,1),(415,1),(479,1),(483,1)}
       361:{1,4,6}:{(309,1),(310,1),(387,1),(404,1)}
       362:{1,2,5,6}:{(310,1),(311,1),(388,1),(405,1),(408,1),(411,1)}
       363:{1,2,3,6}:{(311,1),(312,1),(317,1),(410,1),(467,1)}
       364:{1,2,4,7}:{(312,1),(313,1),(318,1),(410,1),(477,1)}
       365:{1,3,5,6}:{(314,1),(315,1),(392,1),(407,1),(411,1)}
       366:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(393,1),(408,1),(411,1),(412,1),(413,1),(481,1),(483,1),(513,1),(518,1),(542,1)}
       367:{1,3,5,6}:{(316,1),(317,1),(320,1),(394,1),(413,1),(414,1)}
       368:{1,3,4,6}:{(317,1),(318,1),(321,1),(410,1),(413,1),(414,1)}
       369:{3,5,6}:{(319,1),(397,1),(415,1)}
       370:{2,4,6}:{(320,1),(322,1),(398,1),(413,1),(415,1),(416,1)}
       371:{2,3,5}:{(321,1),(323,1),(414,1),(416,1)}
       372:{1,4,5}:{(322,1),(323,1),(416,1)}
       373:{2,3,6,7}:{(324,1),(342,1),(417,1),(422,1)}
       374:{1,4,6,7}:{(324,1),(325,1),(343,1),(417,1)}
       375:{1,2,5,6,7}:{(325,1),(326,1),(330,1),(344,1),(418,1),(419,1),(496,1),(529,1)}
       376:{1,3,6,7}:{(326,1),(327,1),(331,1),(420,1),(437,1)}
       377:{1,4,7}:{(327,1),(328,1),(332,1)}
       378:{1,4,5}:{(328,1),(333,1),(347,1)}
       379:{2,4,6,7}:{(329,1),(330,1),(348,1),(422,1)}
       380:{2,3,5,6,7}:{(330,1),(331,1),(334,1),(349,1),(419,1),(422,1),(423,1),(424,1),(440,1),(486,1),(490,1),(529,1)}
       381:{2,4,6,7}:{(331,1),(332,1),(335,1),(420,1),(424,1),(425,1)}
       382:{2,4,5,7}:{(332,1),(333,1),(336,1),(351,1),(421,1),(424,1),(425,1)}
       383:{1,4,6,7}:{(334,1),(352,1),(423,1),(426,1),(441,1)}
       384:{1,3,5,7}:{(335,1),(424,1),(426,1),(427,1),(490,1)}
       385:{1,3,4,6}:{(336,1),(354,1),(425,1),(427,1),(441,1),(501,1)}
       386:{2,3,4,7}:{(337,1),(342,1),(360,1),(428,1),(438,1),(493,1),(498,1)}
       387:{1,4,7}:{(337,1),(338,1),(361,1)}
       388:{1,2,5,7}:{(338,1),(339,1),(362,1),(429,1),(433,1)}
       389:{1,2,3,6,7}:{(339,1),(340,1),(345,1),(363,1),(430,1),(431,1),(486,1),(534,1)}
       390:{1,2,4,7}:{(340,1),(341,1),(346,1),(432,1)}
       391:{1,2,5}:{(341,1),(347,1)}
       392:{1,3,5,7}:{(342,1),(343,1),(365,1),(417,1),(428,1),(433,1)}
       393:{1,2,4,5,7}:{(343,1),(344,1),(348,1),(366,1),(418,1),(429,1),(433,1),(434,1),(435,1),(488,1),(498,1),(529,1)}
       394:{1,3,5,7}:{(344,1),(345,1),(349,1),(367,1),(435,1)}
       395:{1,3,4,6,7}:{(345,1),(346,1),(350,1),(368,1),(420,1),(431,1),(435,1),(436,1),(437,1),(494,1),(500,1),(534,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(351,1),(421,1),(432,1),(437,1)}
       397:{3,5,7}:{(348,1),(369,1),(422,1),(438,1)}
       398:{2,4,7}:{(349,1),(352,1),(370,1),(435,1),(438,1)}
       399:{2,3,5,7}:{(350,1),(353,1),(371,1),(424,1),(436,1),(439,1),(440,1),(490,1),(529,1)}
       400:{2,3,6}:{(351,1),(354,1),(425,1),(437,1)}
       401:{1,4,5,7}:{(352,1),(353,1),(372,1),(439,1),(441,1)}
       402:{1,3,5,6}:{(353,1),(354,1),(355,1),(440,1),(441,1),(549,1),(551,1)}
       403:{2,3,4,5}:{(356,1),(360,1),(442,1),(453,1),(503,1),(509,1)}
       404:{1,4,5}:{(356,1),(357,1),(361,1)}
       405:{1,2,5}:{(357,1),(358,1)}
       406:{1,2,3,6}:{(358,1),(359,1),(444,1),(446,1)}
       407:{1,3,4,6}:{(360,1),(361,1),(365,1),(428,1),(442,1),(445,1),(446,1),(505,1),(508,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(429,1),(443,1),(445,1),(446,1)}
       409:{1,2,3,5,6}:{(362,1),(363,1),(367,1),(430,1),(444,1),(446,1),(447,1),(448,1),(450,1),(496,1),(507,1),(534,1)}
       410:{1,2,4,6}:{(363,1),(364,1),(368,1),(448,1)}
       411:{2,5,6}:{(365,1),(433,1),(445,1)}
       412:{1,3,5,6}:{(366,1),(369,1),(434,1),(446,1),(450,1),(451,1),(507,1),(534,1)}
       413:{1,4,6}:{(367,1),(370,1),(435,1),(452,1)}
       414:{1,3,5}:{(368,1),(371,1),(448,1),(452,1)}
       415:{3,4,6}:{(369,1),(370,1),(438,1),(453,1)}
       416:{2,4,5}:{(370,1),(371,1),(372,1),(452,1),(453,1)}
       417:{1,3,6,7}:{(373,1),(374,1),(392,1),(454,1)}
       418:{1,2,4,6,7}:{(374,1),(375,1),(379,1),(393,1),(454,1),(455,1),(456,1),(511,1),(518,1)}
       419:{1,3,5,6,7}:{(375,1),(376,1),(380,1),(394,1),(455,1),(456,1),(457,1),(472,1),(512,1)}
       420:{1,4,6,7}:{(376,1),(377,1),(381,1),(457,1),(458,1)}
       421:{1,4,5,7}:{(377,1),(378,1),(382,1),(396,1),(457,1),(458,1)}
       422:{3,6,7}:{(379,1),(397,1)}
       423:{2,4,6,7}:{(380,1),(383,1),(398,1),(456,1),(459,1),(460,1),(474,1)}
       424:{2,5,7}:{(381,1),(384,1),(457,1),(461,1)}
       425:{2,4,6}:{(382,1),(385,1),(400,1),(458,1),(461,1)}
       426:{1,4,5,7}:{(383,1),(384,1),(460,1),(462,1),(541,1)}
       427:{1,3,5,6}:{(384,1),(385,1),(461,1),(462,1),(514,1)}
       428:{1,3,4,7}:{(386,1),(387,1),(392,1),(407,1),(463,1),(464,1),(515,1),(519,1)}
       429:{1,2,4,7}:{(387,1),(388,1),(408,1),(463,1),(464,1)}
       430:{1,2,3,5,7}:{(388,1),(389,1),(394,1),(409,1),(464,1),(465,1),(466,1),(469,1),(517,1)}
       431:{1,2,4,6,7}:{(389,1),(390,1),(395,1),(410,1),(465,1),(466,1),(467,1),(511,1),(518,1)}
       432:{1,2,5,7}:{(390,1),(391,1),(396,1),(467,1)}
       433:{2,5,7}:{(392,1),(411,1),(454,1),(463,1)}
       434:{1,3,5,7}:{(393,1),(397,1),(412,1),(455,1),(464,1),(469,1),(470,1)}
       435:{1,4,7}:{(394,1),(398,1),(413,1)}
       436:{1,3,5,7}:{(395,1),(399,1),(414,1),(457,1),(466,1),(471,1),(472,1)}
       437:{1,3,6}:{(396,1),(400,1),(458,1),(467,1)}
       438:{3,4,7}:{(397,1),(398,1),(415,1)}
       439:{2,4,5,7}:{(398,1),(399,1),(401,1),(416,1),(471,1),(473,1),(474,1)}
       440:{2,3,5,6}:{(399,1),(400,1),(402,1),(461,1),(472,1),(474,1),(514,1),(542,1),(545,1)}
       441:{1,4,6}:{(401,1),(402,1),(474,1)}
       442:{1,3,4,5}:{(403,1),(404,1),(407,1),(475,1),(476,1),(522,1),(527,1)}
       443:{1,2,4,5}:{(404,1),(405,1),(408,1),(475,1),(476,1),(477,1)}
       444:{1,2,3,5}:{(405,1),(406,1),(476,1),(477,1)}
       445:{2,4,6}:{(407,1),(411,1),(463,1),(475,1),(479,1)}
       446:{1,3,6}:{(408,1),(464,1),(476,1),(479,1)}
       447:{1,2,4,6}:{(409,1),(413,1),(465,1),(477,1),(480,1),(481,1),(483,1)}
       448:{1,2,5}:{(410,1),(414,1)}
       449:{1,2,5,6}:{(411,1),(468,1),(478,1),(482,1),(548,1),(552,1)}
       450:{2,3,5,6}:{(411,1),(412,1),(469,1),(479,1),(482,1),(483,1),(526,1),(542,1),(545,1)}
       451:{1,3,4,6}:{(412,1),(413,1),(415,1),(470,1),(483,1),(484,1)}
       452:{1,4,5}:{(413,1),(414,1),(416,1)}
       453:{3,4,5}:{(415,1),(416,1)}
       454:{2,6,7}:{(417,1),(433,1)}
       455:{1,3,6,7}:{(418,1),(422,1),(434,1),(486,1),(534,1)}
       456:{1,4,6,7}:{(419,1),(423,1),(435,1),(488,1),(500,1)}
       457:{1,5,7}:{(420,1),(424,1),(489,1)}
       458:{1,4,6}:{(421,1),(425,1),(437,1),(489,1)}
       459:{3,4,6,7}:{(422,1),(423,1),(438,1),(490,1),(501,1)}
       460:{2,4,5,7}:{(423,1),(424,1),(426,1),(488,1),(490,1),(491,1),(529,1)}
       461:{2,5,6}:{(424,1),(425,1),(427,1),(489,1)}
       462:{1,4,5,6}:{(426,1),(427,1),(441,1),(491,1),(549,1)}
       463:{2,4,7}:{(428,1),(433,1),(445,1),(493,1)}
       464:{1,3,7}:{(429,1),(446,1),(493,1)}
       465:{1,2,4,7}:{(430,1),(435,1),(447,1),(494,1),(498,1)}
       466:{1,2,5,7}:{(431,1),(436,1),(448,1),(496,1),(529,1)}
       467:{1,2,6}:{(432,1),(437,1)}
       468:{1,2,5,7}:{(433,1),(449,1),(485,1),(492,1),(497,1)}
       469:{2,3,5,7}:{(433,1),(434,1),(450,1),(486,1),(493,1),(497,1),(498,1),(529,1)}
       470:{1,3,4,7}:{(434,1),(435,1),(438,1),(451,1),(498,1)}
       471:{1,4,5,7}:{(435,1),(436,1),(439,1),(452,1),(500,1)}
       472:{1,3,5,6}:{(436,1),(437,1),(440,1),(489,1),(496,1),(500,1),(534,1)}
       473:{3,4,5,7}:{(438,1),(439,1),(453,1),(490,1),(501,1)}
       474:{2,4,6}:{(439,1),(440,1),(441,1),(500,1),(501,1)}
       475:{2,4,5}:{(442,1),(445,1),(503,1)}
       476:{1,3,5}:{(443,1),(446,1),(503,1),(504,1)}
       477:{1,2,4}:{(444,1),(504,1)}
       478:{1,2,4,6}:{(445,1),(449,1),(492,1),(502,1),(505,1),(508,1)}
       479:{2,3,6}:{(445,1),(446,1),(493,1),(503,1),(505,1)}
       480:{1,3,4,6}:{(446,1),(447,1),(494,1),(504,1),(506,1),(507,1),(534,1)}
       481:{1,2,4,5}:{(447,1),(448,1),(452,1),(507,1),(509,1)}
       482:{1,3,5,6}:{(449,1),(450,1),(497,1),(505,1),(508,1),(540,1),(549,1),(551,1)}
       483:{2,4,6}:{(450,1),(451,1),(498,1),(508,1),(509,1)}
       484:{1,3,4,5}:{(451,1),(452,1),(453,1),(507,1),(509,1)}
       485:{1,2,6,7}:{(454,1),(468,1),(510,1),(552,1)}
       486:{2,3,6,7}:{(454,1),(455,1),(469,1),(510,1),(511,1),(545,1)}
       487:{1,3,4,6,7}:{(455,1),(456,1),(459,1),(470,1),(511,1),(512,1),(521,1)}
       488:{1,4,5,7}:{(456,1),(457,1),(460,1),(512,1),(513,1)}
       489:{1,5,6}:{(457,1),(458,1),(461,1)}
       490:{3,5,7}:{(459,1),(460,1),(514,1)}
       491:{2,4,5,6}:{(460,1),(461,1),(462,1),(474,1),(513,1),(514,1),(542,1)}
       492:{1,2,4,7}:{(463,1),(468,1),(478,1),(515,1),(519,1)}
       493:{2,3,7}:{(463,1),(464,1),(479,1),(515,1)}
       494:{1,3,4,7}:{(464,1),(465,1),(480,1),(516,1),(517,1)}
       495:{1,2,4,5,7}:{(465,1),(466,1),(471,1),(481,1),(517,1),(518,1),(520,1)}
       496:{1,2,5,6}:{(466,1),(467,1),(472,1),(518,1),(542,1)}
       497:{1,3,5,7}:{(468,1),(469,1),(482,1),(510,1),(515,1),(519,1),(541,1)}
       498:{2,4,7}:{(469,1),(470,1),(483,1),(519,1)}
       499:{1,3,4,5,7}:{(470,1),(471,1),(473,1),(484,1),(512,1),(517,1),(520,1),(521,1)}
       500:{1,4,6}:{(471,1),(472,1),(474,1)}
       501:{3,4,6}:{(473,1),(474,1),(514,1)}
       502:{1,2,4,5}:{(475,1),(478,1),(522,1),(527,1),(547,1),(548,1)}
       503:{2,3,5}:{(475,1),(476,1),(479,1),(522,1),(523,1)}
       504:{1,3,4}:{(476,1),(477,1),(523,1)}
       505:{1,3,6}:{(478,1),(479,1),(515,1),(522,1)}
       506:{2,3,4,6}:{(479,1),(480,1),(483,1),(516,1),(523,1),(525,1),(526,1),(545,1)}
       507:{1,3,5}:{(480,1),(481,1),(526,1)}
       508:{1,4,6}:{(482,1),(483,1),(519,1),(527,1)}
       509:{2,4,5}:{(483,1),(484,1),(526,1),(527,1)}
       510:{1,3,6,7}:{(485,1),(486,1),(497,1),(528,1),(551,1)}
       511:{2,4,6,7}:{(486,1),(487,1),(498,1),(528,1),(529,1),(536,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(490,1),(529,1),(530,1)}
       513:{1,4,5,6}:{(488,1),(489,1),(491,1),(500,1),(530,1)}
       514:{3,5,6}:{(490,1),(491,1),(501,1)}
       515:{1,3,7}:{(492,1),(493,1),(505,1)}
       516:{2,3,4,7}:{(493,1),(494,1),(498,1),(506,1),(532,1),(533,1)}
       517:{1,3,5,7}:{(494,1),(495,1),(507,1),(533,1),(534,1)}
       518:{1,2,4,6}:{(495,1),(496,1),(500,1),(534,1),(536,1)}
       519:{1,4,7}:{(497,1),(498,1),(508,1)}
       520:{2,4,5,7}:{(498,1),(499,1),(509,1),(529,1),(533,1),(535,1),(536,1)}
       521:{1,3,4,6}:{(499,1),(500,1),(501,1),(530,1),(534,1),(536,1)}
       522:{1,3,5}:{(502,1),(503,1),(505,1),(538,1)}
       523:{2,3,4}:{(503,1),(504,1),(538,1)}
       524:{1,2,3,6}:{(505,1),(531,1),(537,1),(539,1)}
       525:{1,3,4,6}:{(505,1),(506,1),(508,1),(532,1),(538,1),(539,1),(540,1),(551,1)}
       526:{2,3,5}:{(506,1),(507,1),(509,1),(540,1)}
       527:{1,4,5}:{(508,1),(509,1),(540,1)}
       528:{1,4,6,7}:{(510,1),(511,1),(519,1),(541,1),(546,1)}
       529:{2,5,7}:{(511,1),(512,1),(541,1),(542,1)}
       530:{1,3,5,6}:{(512,1),(513,1),(514,1),(521,1),(542,1)}
       531:{1,2,3,7}:{(515,1),(524,1),(543,1)}
       532:{1,3,4,7}:{(515,1),(516,1),(519,1),(525,1),(543,1),(544,1)}
       533:{2,3,5,7}:{(516,1),(517,1),(520,1),(526,1),(544,1),(545,1)}
       534:{1,3,6}:{(517,1),(518,1),(545,1)}
       535:{1,4,5,7}:{(519,1),(520,1),(527,1),(541,1),(544,1),(546,1)}
       536:{2,4,6}:{(520,1),(521,1),(542,1),(545,1),(546,1)}
       537:{1,2,3,5}:{(522,1),(524,1),(547,1),(548,1)}
       538:{1,3,4}:{(522,1),(523,1),(547,1)}
       539:{1,2,4,6}:{(524,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       540:{1,3,5}:{(525,1),(526,1),(527,1),(548,1)}
       541:{1,5,7}:{(528,1),(529,1),(549,1)}
       542:{2,5,6}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,7}:{(531,1),(532,1),(539,1),(550,1)}
       544:{1,3,5,7}:{(532,1),(533,1),(535,1),(540,1),(550,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(536,1),(551,1)}
       546:{1,4,6}:{(535,1),(536,1),(549,1),(551,1)}
       547:{1,2,4}:{(537,1),(538,1)}
       548:{1,2,5}:{(539,1),(540,1)}
       549:{1,5,6}:{(541,1),(542,1),(546,1)}
       550:{1,2,5,7}:{(543,1),(544,1),(548,1),(552,1)}
       551:{1,3,6}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1633 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(18,1),(19,1),(96,1),(155,1),(215,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(18,1),(24,1),(51,1),(53,1),(60,1)}
         2:{1,3,6,7}:{(0,1),(6,1),(7,1),(34,1),(141,1),(242,1)}
         3:{1,2,5,7}:{(0,1),(7,1),(8,1),(11,1),(124,1),(185,1),(192,1)}
         4:{2,4,6,7}:{(1,1),(6,1),(10,1),(11,1),(31,1),(38,1),(78,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(12,1),(13,1),(39,1),(77,1)}
         6:{2,3,6,7}:{(2,1),(4,1),(15,1),(16,1),(55,1),(60,1),(110,1),(155,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(111,1),(160,1)}
         8:{1,2,5,6}:{(3,1),(17,1),(19,1),(22,1),(105,1),(116,1),(176,1),(222,1),(225,1)}
         9:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(52,1),(54,1),(64,1),(105,1),(111,1),(115,1),(164,1),(215,1),(225,1),(227,1),(273,1)}
        10:{1,4,6,7}:{(4,1),(15,1),(21,1),(49,1),(57,1),(106,1)}
        11:{2,5,7}:{(4,1),(5,1),(21,1),(22,1),(105,1)}
        12:{1,3,5,6}:{(5,1),(22,1),(24,1),(60,1)}
        13:{1,4,5,7}:{(5,1),(18,1),(23,1),(24,1),(52,1),(111,1)}
        14:{1,3,5,6,7}:{(12,1),(26,1),(27,1),(67,1),(68,1),(246,1)}
        15:{1,3,6,7}:{(6,1),(10,1),(28,1),(29,1),(80,1),(83,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(11,1),(29,1),(30,1),(31,1),(39,1),(84,1),(128,1),(185,1),(242,1)}
        17:{1,3,5,6}:{(7,1),(8,1),(30,1),(32,1),(34,1),(77,1),(141,1),(191,1),(194,1),(252,1)}
        18:{1,4,7}:{(7,1),(31,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(38,1),(78,1),(89,1),(141,1),(145,1),(206,1)}
        20:{1,3,5,7}:{(9,1),(33,1),(34,1),(35,1),(39,1),(77,1),(196,1),(242,1),(252,1),(253,1)}
        21:{1,5,7}:{(10,1),(11,1),(36,1),(136,1)}
        22:{2,5,6}:{(11,1),(12,1),(36,1),(38,1)}
        23:{2,4,5,7}:{(11,1),(13,1),(31,1),(37,1),(38,1),(39,1),(74,1),(84,1)}
        24:{1,4,6}:{(12,1),(13,1),(38,1),(141,1)}
        25:{1,3,4,5,7}:{(13,1),(33,1),(39,1),(41,1),(42,1),(68,1),(77,1),(87,1),(121,1),(132,1),(149,1),(184,1),(197,1),(210,1),(242,1),(245,1),(253,1),(285,1)}
        26:{2,5,6,7}:{(14,1),(22,1),(43,1),(44,1),(95,1),(267,1)}
        27:{1,4,6,7}:{(14,1),(24,1),(44,1),(45,1),(152,1),(268,1)}
        28:{1,2,6,7}:{(15,1),(47,1),(108,1),(110,1),(152,1),(155,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(21,1),(47,1),(48,1),(49,1),(98,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(22,1),(48,1),(50,1),(55,1),(60,1),(102,1),(105,1),(110,1),(159,1),(162,1),(176,1),(228,1),(234,1)}
        31:{2,4,7}:{(16,1),(18,1),(49,1),(50,1),(51,1)}
        32:{1,4,6}:{(17,1),(18,1),(50,1),(52,1),(273,1)}
        33:{1,3,4,7}:{(18,1),(20,1),(51,1),(53,1),(54,1),(273,1),(274,1)}
        34:{1,3,6}:{(19,1),(20,1),(55,1),(60,1),(234,1)}
        35:{2,3,5,7}:{(20,1),(54,1),(55,1),(56,1),(105,1),(115,1),(168,1),(228,1)}
        36:{1,5,6}:{(21,1),(22,1),(57,1)}
        37:{1,4,5,7}:{(21,1),(23,1),(49,1),(57,1),(58,1),(99,1)}
        38:{2,4,6}:{(22,1),(23,1),(24,1),(57,1),(60,1),(110,1)}
        39:{3,5,7}:{(23,1),(51,1),(60,1),(102,1)}
        40:{1,4,5,6}:{(24,1),(45,1),(52,1),(59,1),(62,1),(172,1),(175,1),(237,1),(268,1)}
        41:{1,3,4,6}:{(24,1),(25,1),(60,1),(62,1),(63,1),(112,1),(114,1),(175,1),(234,1),(268,1),(299,1)}
        42:{2,4,5,7}:{(25,1),(54,1),(61,1),(63,1),(64,1),(95,1),(105,1),(115,1),(153,1),(165,1),(178,1),(215,1),(227,1),(236,1)}
        43:{1,5,6,7}:{(26,1),(36,1),(65,1),(124,1),(284,1)}
        44:{2,4,6,7}:{(26,1),(27,1),(38,1),(65,1),(66,1),(67,1),(120,1),(286,1)}
        45:{1,4,5,7}:{(27,1),(40,1),(66,1),(68,1),(182,1),(184,1)}
        46:{1,3,4,6,7}:{(27,1),(41,1),(67,1),(68,1),(69,1),(121,1),(123,1),(184,1),(242,1)}
        47:{1,2,5,7}:{(28,1),(29,1),(70,1),(71,1),(84,1),(182,1),(185,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(36,1),(70,1),(72,1),(80,1),(83,1),(127,1),(129,1),(136,1),(200,1)}
        49:{1,4,7}:{(29,1),(31,1),(72,1)}
        50:{2,4,6}:{(30,1),(31,1),(32,1),(72,1),(74,1),(75,1),(254,1)}
        51:{3,4,7}:{(31,1),(39,1),(75,1),(242,1)}
        52:{1,4,5}:{(32,1),(74,1),(77,1),(194,1)}
        53:{1,3,4,6}:{(32,1),(33,1),(34,1),(75,1),(77,1),(78,1)}
        54:{2,4,7}:{(33,1),(35,1),(78,1),(79,1),(254,1)}
        55:{2,3,6}:{(34,1),(35,1),(78,1),(80,1),(145,1)}
        56:{1,3,5,7}:{(35,1),(79,1),(80,1),(81,1),(136,1),(138,1),(200,1)}
        57:{1,4,6}:{(36,1),(37,1),(38,1),(83,1)}
        58:{1,3,5,7}:{(37,1),(39,1),(73,1),(83,1),(84,1),(129,1)}
        59:{2,4,5,6}:{(38,1),(40,1),(66,1),(74,1),(82,1),(85,1),(88,1),(140,1),(143,1),(206,1),(260,1),(286,1)}
        60:{3,6}:{(38,1),(39,1)}
        61:{2,3,5,7}:{(39,1),(42,1),(76,1),(84,1),(86,1),(87,1),(133,1),(242,1),(253,1),(285,1),(307,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(68,1),(77,1),(85,1),(88,1),(210,1)}
        63:{2,4,6}:{(41,1),(42,1),(86,1),(88,1),(89,1),(145,1)}
        64:{1,4,5,7}:{(42,1),(79,1),(87,1),(89,1),(124,1),(136,1),(184,1),(197,1),(205,1),(258,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(57,1),(91,1),(92,1),(298,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(59,1),(91,1),(93,1),(95,1),(151,1),(153,1),(215,1)}
        67:{3,6,7}:{(44,1),(60,1),(93,1),(299,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(62,1),(93,1),(95,1)}
        69:{2,4,6,7}:{(46,1),(63,1),(94,1),(95,1),(96,1),(153,1),(155,1),(215,1)}
        70:{1,2,5,6}:{(47,1),(48,1),(97,1),(108,1),(110,1),(162,1),(169,1),(172,1),(176,1)}
        71:{1,2,4,7}:{(47,1),(49,1),(97,1),(98,1),(101,1),(212,1),(215,1),(261,1)}
        72:{1,4,6}:{(48,1),(49,1),(50,1),(99,1),(229,1)}
        73:{1,3,4,7}:{(49,1),(51,1),(58,1),(98,1),(100,1),(101,1)}
        74:{2,4,5}:{(50,1),(52,1),(99,1),(102,1),(105,1),(162,1)}
        75:{3,4,6}:{(50,1),(51,1),(60,1),(102,1),(234,1),(274,1)}
        76:{2,3,4,7}:{(51,1),(54,1),(61,1),(101,1),(103,1),(104,1),(153,1),(168,1),(178,1),(211,1),(265,1),(274,1),(296,1)}
        77:{1,3,5}:{(52,1),(53,1),(102,1),(105,1)}
        78:{2,4,6}:{(53,1),(54,1),(55,1),(105,1),(106,1)}
        79:{1,4,7}:{(54,1),(56,1),(106,1),(229,1)}
        80:{1,3,6}:{(55,1),(56,1),(106,1),(108,1)}
        81:{1,2,5,7}:{(56,1),(107,1),(108,1),(115,1),(169,1),(312,1)}
        82:{1,4,5,6}:{(57,1),(59,1),(91,1),(99,1),(109,1),(116,1),(175,1),(278,1),(298,1)}
        83:{1,3,6}:{(57,1),(58,1),(60,1),(110,1)}
        84:{2,5,7}:{(58,1),(101,1),(110,1),(111,1),(162,1)}
        85:{3,5,6}:{(59,1),(60,1),(93,1),(102,1),(112,1),(234,1),(279,1),(299,1)}
        86:{2,3,6}:{(60,1),(61,1),(63,1),(110,1),(114,1),(234,1),(299,1),(313,1)}
        87:{1,3,5,7}:{(61,1),(64,1),(104,1),(111,1),(114,1),(115,1),(166,1),(312,1)}
        88:{2,5,6}:{(62,1),(63,1),(95,1),(105,1),(116,1),(236,1)}
        89:{1,4,6}:{(63,1),(64,1),(114,1),(116,1)}
        90:{1,2,4,5,7}:{(64,1),(107,1),(115,1),(117,1),(118,1),(156,1),(169,1),(178,1),(215,1),(218,1),(227,1),(229,1),(236,1),(237,1),(266,1),(312,1)}
        91:{1,4,5,7}:{(65,1),(66,1),(82,1),(119,1),(124,1),(184,1)}
        92:{1,3,6,7}:{(65,1),(67,1),(83,1),(119,1),(120,1),(308,1)}
        93:{3,5,7}:{(66,1),(67,1),(85,1),(121,1),(242,1)}
        94:{2,3,6,7}:{(67,1),(69,1),(86,1),(120,1),(122,1),(123,1),(242,1)}
        95:{2,5,7}:{(68,1),(69,1),(88,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(89,1),(123,1),(124,1),(184,1)}
        97:{1,2,4,6}:{(70,1),(71,1),(72,1),(126,1),(127,1),(130,1),(202,1),(206,1),(255,1)}
        98:{1,3,7}:{(71,1),(127,1),(128,1),(242,1)}
        99:{1,4,5}:{(72,1),(74,1),(129,1),(136,1)}
       100:{1,3,4,6}:{(72,1),(73,1),(75,1),(83,1),(127,1),(129,1),(130,1),(189,1)}
       101:{2,4,7}:{(73,1),(84,1),(128,1),(130,1),(131,1)}
       102:{3,5}:{(74,1),(75,1)}
       103:{2,3,4,6}:{(75,1),(76,1),(78,1),(86,1),(130,1),(133,1),(134,1),(143,1),(199,1),(201,1),(208,1),(247,1),(254,1),(259,1),(293,1)}
       104:{1,3,4,7}:{(76,1),(79,1),(87,1),(131,1),(134,1),(135,1),(138,1),(184,1),(196,1),(205,1),(238,1),(242,1),(306,1)}
       105:{2,5}:{(77,1),(78,1),(136,1)}
       106:{1,4,6}:{(78,1),(79,1),(80,1),(136,1)}
       107:{1,2,4,7}:{(79,1),(81,1),(135,1),(137,1),(138,1),(280,1),(306,1)}
       108:{1,2,6}:{(80,1),(81,1),(145,1),(314,1)}
       109:{1,3,5,6}:{(82,1),(83,1),(85,1),(119,1),(129,1),(139,1),(140,1),(294,1),(308,1)}
       110:{2,6}:{(83,1),(84,1),(141,1)}
       111:{1,5,7}:{(84,1),(131,1),(141,1),(194,1)}
       112:{3,4,6}:{(85,1),(121,1),(132,1),(143,1)}
       113:{2,3,5,6}:{(85,1),(86,1),(88,1),(122,1),(133,1),(140,1),(143,1),(144,1),(201,1)}
       114:{1,3,6}:{(86,1),(87,1),(89,1),(141,1),(145,1),(314,1)}
       115:{2,5,7}:{(87,1),(135,1),(145,1),(198,1)}
       116:{1,5,6}:{(88,1),(89,1),(124,1),(136,1),(258,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(145,1),(147,1),(148,1),(206,1),(208,1),(209,1),(286,1),(314,1)}
       118:{1,3,5,7}:{(90,1),(138,1),(146,1),(148,1),(149,1),(200,1),(210,1),(242,1),(253,1),(285,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(109,1),(150,1),(151,1)}
       120:{2,6,7}:{(92,1),(110,1),(151,1),(152,1),(313,1)}
       121:{3,4,7}:{(93,1),(112,1),(153,1)}
       122:{2,3,5,7}:{(93,1),(94,1),(95,1),(113,1),(151,1),(153,1),(154,1),(211,1)}
       123:{1,3,6,7}:{(94,1),(96,1),(114,1),(152,1),(154,1),(155,1)}
       124:{1,5,7}:{(95,1),(96,1),(116,1)}
       125:{1,2,4,6,7}:{(96,1),(117,1),(155,1),(156,1),(157,1),(215,1),(217,1),(218,1)}
       126:{1,2,4,5}:{(97,1),(99,1),(158,1),(162,1),(169,1),(220,1),(224,1),(227,1),(229,1),(271,1),(300,1)}
       127:{1,3,6}:{(97,1),(98,1),(158,1),(159,1),(234,1)}
       128:{2,3,7}:{(98,1),(101,1),(159,1),(160,1),(261,1)}
       129:{1,3,5}:{(99,1),(100,1),(102,1),(162,1)}
       130:{2,4,6}:{(100,1),(101,1),(110,1),(159,1),(162,1),(163,1),(220,1)}
       131:{1,4,7}:{(101,1),(111,1),(160,1),(163,1)}
       132:{3,4,5}:{(102,1),(112,1),(165,1),(274,1),(279,1)}
       133:{2,3,5}:{(102,1),(103,1),(105,1),(162,1),(165,1),(166,1),(236,1),(279,1),(305,1)}
       134:{1,3,4,6}:{(103,1),(104,1),(106,1),(114,1),(163,1),(166,1),(167,1),(170,1),(175,1),(226,1),(229,1),(230,1),(233,1),(234,1),(269,1),(273,1),(274,1),(304,1)}
       135:{2,4,7}:{(104,1),(115,1),(167,1),(168,1),(261,1)}
       136:{1,5}:{(105,1),(106,1)}
       137:{1,2,4,6}:{(106,1),(107,1),(108,1),(167,1),(169,1),(170,1),(229,1),(275,1),(300,1),(304,1)}
       138:{1,3,7}:{(107,1),(168,1),(170,1)}
       139:{1,3,4,6}:{(109,1),(112,1),(150,1),(161,1),(171,1),(175,1),(230,1),(234,1)}
       140:{2,5,6}:{(109,1),(110,1),(151,1),(162,1),(171,1),(172,1),(305,1),(313,1)}
       141:{1,6}:{(110,1),(111,1)}
       142:{1,2,5,7}:{(111,1),(115,1),(164,1),(173,1),(174,1),(225,1)}
       143:{2,4,6}:{(112,1),(113,1),(153,1),(165,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(114,1),(116,1),(154,1),(166,1),(172,1),(175,1),(176,1),(230,1),(234,1)}
       145:{2,6}:{(114,1),(115,1)}
       146:{2,3,5,7}:{(115,1),(118,1),(168,1),(174,1),(177,1),(178,1),(228,1),(236,1)}
       147:{1,2,5,6}:{(116,1),(117,1),(156,1),(169,1),(176,1),(179,1),(236,1),(267,1),(275,1)}
       148:{1,3,6}:{(117,1),(118,1),(177,1),(234,1),(299,1)}
       149:{1,3,4,7}:{(118,1),(178,1),(180,1),(218,1),(229,1),(265,1),(274,1)}
       150:{1,3,4,7}:{(119,1),(121,1),(139,1),(181,1),(184,1),(238,1),(242,1)}
       151:{2,5,7}:{(119,1),(120,1),(140,1),(181,1),(182,1)}
       152:{1,6,7}:{(120,1),(141,1),(182,1),(314,1)}
       153:{2,4,7}:{(121,1),(122,1),(143,1),(184,1)}
       154:{1,3,5,7}:{(122,1),(123,1),(124,1),(144,1),(182,1),(184,1),(185,1),(238,1),(242,1)}
       155:{2,6,7}:{(123,1),(145,1),(185,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(147,1),(185,1),(187,1),(244,1),(280,1)}
       157:{1,3,6,7}:{(125,1),(148,1),(186,1),(187,1),(242,1),(314,1)}
       158:{1,3,5}:{(126,1),(127,1),(189,1),(190,1),(253,1),(309,1)}
       159:{2,3,6}:{(127,1),(128,1),(130,1),(190,1),(191,1),(255,1)}
       160:{1,3,7}:{(128,1),(131,1),(191,1),(192,1)}
       161:{1,3,4,5}:{(129,1),(132,1),(139,1),(189,1),(193,1),(197,1),(250,1),(253,1),(291,1),(294,1)}
       162:{2,5}:{(129,1),(130,1),(194,1)}
       163:{1,4,6}:{(130,1),(131,1),(141,1),(191,1),(194,1),(248,1)}
       164:{1,2,4,7}:{(131,1),(135,1),(142,1),(192,1),(195,1),(196,1),(205,1)}
       165:{2,4,5}:{(132,1),(133,1),(143,1),(197,1),(254,1)}
       166:{1,3,5}:{(133,1),(134,1),(136,1),(194,1),(197,1),(198,1),(253,1),(258,1),(311,1)}
       167:{2,4,6}:{(134,1),(135,1),(145,1),(198,1),(199,1),(254,1),(255,1),(287,1)}
       168:{2,3,7}:{(135,1),(138,1),(196,1),(199,1),(242,1)}
       169:{1,2,5}:{(136,1),(137,1),(198,1),(200,1),(311,1)}
       170:{1,3,6}:{(137,1),(138,1),(199,1),(200,1),(309,1)}
       171:{2,4,6}:{(139,1),(140,1),(181,1),(193,1),(201,1),(202,1),(255,1)}
       172:{1,5,6}:{(140,1),(141,1),(182,1),(194,1),(202,1),(311,1),(314,1)}
       173:{1,2,6}:{(141,1),(142,1),(145,1),(204,1)}
       174:{1,3,5,7}:{(142,1),(146,1),(196,1),(204,1),(205,1),(252,1),(258,1)}
       175:{1,4,6}:{(143,1),(144,1),(184,1),(197,1),(206,1)}
       176:{2,5,6}:{(144,1),(145,1),(185,1),(198,1),(206,1),(255,1)}
       177:{2,3,6}:{(145,1),(146,1),(148,1),(204,1),(208,1)}
       178:{2,4,7}:{(146,1),(149,1),(205,1),(208,1),(254,1)}
       179:{1,3,5,6}:{(147,1),(148,1),(187,1),(200,1),(207,1),(209,1),(210,1),(292,1),(311,1),(314,1)}
       180:{1,3,4,6}:{(148,1),(149,1),(208,1),(209,1),(210,1),(259,1)}
       181:{2,4,7}:{(150,1),(151,1),(171,1),(211,1),(212,1),(261,1)}
       182:{1,5,7}:{(151,1),(152,1),(172,1),(212,1)}
       183:{1,2,6,7}:{(152,1),(155,1),(173,1),(213,1),(214,1),(313,1)}
       184:{1,4,7}:{(153,1),(154,1),(175,1),(215,1)}
       185:{2,5,7}:{(154,1),(155,1),(176,1),(215,1),(261,1)}
       186:{2,3,6,7}:{(155,1),(157,1),(177,1),(214,1),(216,1),(217,1),(299,1),(313,1)}
       187:{1,3,5,7}:{(156,1),(157,1),(179,1),(216,1),(218,1),(295,1),(312,1)}
       188:{1,3,4,6,7}:{(157,1),(180,1),(217,1),(218,1),(219,1),(265,1),(268,1),(299,1)}
       189:{1,3,4}:{(158,1),(220,1),(229,1),(274,1)}
       190:{2,3,5}:{(158,1),(159,1),(162,1),(220,1),(221,1),(271,1),(301,1)}
       191:{1,3,6}:{(159,1),(160,1),(163,1),(221,1),(222,1)}
       192:{1,2,7}:{(160,1),(222,1),(261,1)}
       193:{2,4,5}:{(161,1),(162,1),(171,1),(220,1),(223,1),(224,1),(271,1),(303,1),(305,1)}
       194:{1,5}:{(162,1),(163,1)}
       195:{1,2,4,6}:{(163,1),(164,1),(167,1),(173,1),(222,1),(225,1),(226,1),(233,1),(270,1),(273,1)}
       196:{1,3,7}:{(164,1),(168,1),(226,1)}
       197:{1,4,5}:{(165,1),(166,1),(175,1),(227,1),(229,1),(273,1)}
       198:{2,5}:{(166,1),(167,1)}
       199:{2,3,6}:{(167,1),(168,1),(170,1),(226,1),(228,1),(234,1),(301,1)}
       200:{1,3,5}:{(169,1),(170,1),(228,1),(229,1)}
       201:{2,3,6}:{(171,1),(211,1),(223,1),(230,1),(234,1)}
       202:{1,4,6}:{(171,1),(172,1),(212,1),(224,1),(230,1)}
       203:{1,2,5,6}:{(172,1),(173,1),(176,1),(213,1),(225,1),(231,1),(232,1),(305,1),(313,1)}
       204:{1,3,6}:{(173,1),(174,1),(177,1),(233,1)}
       205:{1,4,7}:{(174,1),(178,1),(233,1),(273,1)}
       206:{2,4,6}:{(175,1),(176,1),(215,1),(227,1),(234,1)}
       207:{2,3,5,6}:{(176,1),(177,1),(179,1),(216,1),(228,1),(232,1),(234,1),(235,1),(236,1),(267,1),(276,1),(279,1),(299,1),(305,1),(313,1)}
       208:{2,4,6}:{(177,1),(178,1),(180,1),(233,1),(236,1)}
       209:{1,4,6}:{(179,1),(218,1),(229,1),(235,1),(237,1)}
       210:{1,3,5}:{(180,1),(236,1),(237,1),(279,1)}
       211:{2,3,7}:{(181,1),(201,1),(238,1),(242,1)}
       212:{1,4,7}:{(181,1),(182,1),(202,1),(238,1)}
       213:{1,2,5,7}:{(182,1),(183,1),(185,1),(203,1),(239,1),(240,1),(307,1)}
       214:{1,3,6,7}:{(183,1),(186,1),(204,1),(240,1),(241,1),(308,1)}
       215:{2,4,7}:{(184,1),(185,1),(206,1),(242,1)}
       216:{2,3,5,7}:{(185,1),(186,1),(187,1),(207,1),(240,1),(242,1),(243,1),(244,1),(281,1),(285,1),(307,1)}
       217:{2,4,6,7}:{(186,1),(188,1),(208,1),(241,1),(243,1),(244,1),(286,1)}
       218:{1,4,7}:{(187,1),(209,1),(243,1)}
       219:{1,3,5,7}:{(188,1),(210,1),(244,1),(245,1),(246,1),(285,1)}
       220:{2,4}:{(189,1),(190,1),(248,1)}
       221:{1,3,5}:{(190,1),(191,1),(194,1),(248,1),(249,1),(288,1)}
       222:{1,2,6}:{(191,1),(192,1),(249,1),(255,1)}
       223:{2,3,5}:{(193,1),(201,1),(247,1),(250,1),(253,1)}
       224:{1,4,5}:{(193,1),(194,1),(202,1),(248,1),(250,1),(310,1),(311,1)}
       225:{1,2,5}:{(194,1),(195,1),(198,1),(252,1),(258,1)}
       226:{1,3,6}:{(195,1),(196,1),(199,1),(252,1),(288,1)}
       227:{2,4,5}:{(197,1),(198,1),(206,1),(253,1),(254,1)}
       228:{2,3,5}:{(198,1),(199,1),(200,1),(252,1),(253,1),(254,1)}
       229:{1,4}:{(200,1),(254,1)}
       230:{1,3,6}:{(201,1),(202,1),(238,1),(250,1),(255,1)}
       231:{1,2,4,6}:{(202,1),(203,1),(206,1),(239,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,3,5,6}:{(203,1),(204,1),(207,1),(240,1),(252,1),(256,1),(257,1),(258,1),(284,1),(294,1),(308,1)}
       233:{1,4,6}:{(204,1),(205,1),(208,1),(258,1)}
       234:{3,6}:{(206,1),(242,1),(253,1)}
       235:{2,4,6}:{(207,1),(209,1),(243,1),(254,1),(257,1),(259,1),(260,1)}
       236:{2,5}:{(208,1),(210,1),(258,1)}
       237:{1,4,5}:{(209,1),(210,1),(260,1),(311,1)}
       238:{1,3,7}:{(211,1),(212,1),(230,1),(261,1)}
       239:{1,2,4,7}:{(212,1),(213,1),(215,1),(231,1),(261,1),(262,1),(263,1),(296,1)}
       240:{1,3,5,7}:{(213,1),(214,1),(216,1),(232,1),(262,1),(263,1),(264,1)}
       241:{1,4,6,7}:{(214,1),(217,1),(233,1),(263,1),(264,1),(298,1)}
       242:{3,7}:{(215,1),(234,1)}
       243:{2,4,7}:{(216,1),(218,1),(235,1),(263,1),(265,1)}
       244:{2,5,7}:{(217,1),(219,1),(236,1),(264,1),(267,1)}
       245:{1,4,5,7}:{(218,1),(219,1),(237,1),(266,1),(268,1),(312,1)}
       246:{1,3,5,6}:{(219,1),(267,1),(268,1),(299,1)}
       247:{2,3,4}:{(220,1),(223,1),(269,1),(274,1),(301,1),(303,1)}
       248:{1,4}:{(220,1),(221,1)}
       249:{1,2,5}:{(221,1),(222,1),(270,1),(271,1)}
       250:{1,3,5}:{(223,1),(224,1),(230,1),(269,1),(271,1)}
       251:{1,2,4,5}:{(224,1),(225,1),(227,1),(231,1),(270,1),(271,1),(272,1),(273,1),(278,1),(303,1),(305,1)}
       252:{1,3,5}:{(225,1),(226,1),(228,1),(273,1)}
       253:{3,5}:{(227,1),(234,1),(274,1)}
       254:{2,4}:{(228,1),(229,1),(273,1),(274,1)}
       255:{2,6}:{(230,1),(261,1),(271,1)}
       256:{1,3,6}:{(231,1),(234,1),(262,1),(272,1),(276,1)}
       257:{1,4,6}:{(232,1),(235,1),(263,1),(273,1),(278,1)}
       258:{1,5}:{(233,1),(236,1)}
       259:{3,4,6}:{(234,1),(235,1),(265,1),(274,1),(279,1),(299,1)}
       260:{2,4,5}:{(235,1),(236,1),(237,1),(278,1),(279,1),(305,1)}
       261:{2,7}:{(238,1),(255,1)}
       262:{1,3,7}:{(239,1),(242,1),(256,1),(281,1)}
       263:{1,4,7}:{(240,1),(243,1),(257,1)}
       264:{1,5,7}:{(241,1),(244,1),(258,1),(284,1)}
       265:{3,4,7}:{(242,1),(243,1),(259,1),(285,1)}
       266:{2,4,5,7}:{(243,1),(244,1),(245,1),(260,1),(283,1),(285,1),(286,1),(307,1)}
       267:{2,5,6}:{(244,1),(246,1),(284,1),(286,1)}
       268:{1,4,6}:{(245,1),(246,1),(286,1),(314,1)}
       269:{1,3,4}:{(247,1),(248,1),(250,1),(287,1),(288,1),(309,1),(310,1)}
       270:{1,2,4}:{(248,1),(249,1),(287,1),(288,1)}
       271:{2,5}:{(250,1),(255,1),(287,1)}
       272:{1,3,5}:{(251,1),(253,1),(256,1),(288,1),(290,1),(291,1)}
       273:{1,4}:{(252,1),(254,1)}
       274:{3,4}:{(253,1),(254,1)}
       275:{1,2,6}:{(255,1),(280,1),(289,1),(292,1)}
       276:{2,3,6}:{(255,1),(256,1),(281,1),(290,1),(292,1),(293,1)}
       277:{1,3,4,6}:{(256,1),(257,1),(259,1),(282,1),(291,1),(293,1),(294,1),(308,1)}
       278:{1,4,5}:{(257,1),(258,1),(260,1),(294,1)}
       279:{3,5}:{(259,1),(260,1)}
       280:{1,2,7}:{(261,1),(275,1),(295,1)}
       281:{2,3,7}:{(261,1),(262,1),(276,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(277,1),(296,1),(297,1)}
       283:{1,4,5,7}:{(263,1),(264,1),(266,1),(278,1),(297,1),(298,1)}
       284:{1,5,6}:{(264,1),(267,1),(298,1)}
       285:{3,5,7}:{(265,1),(266,1),(279,1),(299,1)}
       286:{2,4,6}:{(266,1),(267,1),(268,1),(298,1),(299,1),(313,1)}
       287:{2,4}:{(269,1),(271,1),(301,1)}
       288:{1,3}:{(270,1),(301,1)}
       289:{1,2,5}:{(271,1),(275,1),(300,1),(302,1)}
       290:{2,3,5}:{(271,1),(272,1),(276,1),(301,1),(302,1),(303,1),(305,1)}
       291:{1,3,4}:{(272,1),(273,1),(274,1),(303,1)}
       292:{1,3,6}:{(275,1),(276,1),(295,1),(302,1),(304,1)}
       293:{2,4,6}:{(276,1),(277,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       294:{1,3,5}:{(277,1),(278,1),(279,1),(305,1)}
       295:{1,3,7}:{(280,1),(281,1),(292,1),(306,1)}
       296:{2,4,7}:{(281,1),(282,1),(293,1),(306,1),(307,1)}
       297:{1,3,5,7}:{(282,1),(283,1),(285,1),(294,1),(307,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(286,1),(308,1)}
       299:{3,6}:{(285,1),(286,1)}
       300:{1,2,4}:{(287,1),(289,1),(309,1),(310,1)}
       301:{2,3}:{(287,1),(288,1),(309,1)}
       302:{1,3,5}:{(289,1),(290,1),(292,1),(309,1),(310,1),(311,1)}
       303:{2,4}:{(290,1),(291,1),(310,1)}
       304:{1,4,6}:{(292,1),(293,1),(306,1),(310,1),(311,1),(314,1)}
       305:{2,5}:{(293,1),(294,1),(311,1)}
       306:{1,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(305,1),(312,1),(313,1)}
       308:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       309:{1,3}:{(300,1),(301,1)}
       310:{1,4}:{(302,1),(303,1)}
       311:{1,5}:{(304,1),(305,1)}
       312:{1,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{2,6}:{(307,1),(308,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1634 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(39,1),(44,1),(79,1),(85,1),(86,1),(88,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(23,1),(28,1),(33,1),(60,1),(64,1),(66,1),(72,1),(100,1),(102,1),(108,1),(111,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(58,1),(99,1),(106,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(123,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(121,1),(122,1),(134,1),(154,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(125,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(121,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(6,1),(21,1),(22,1),(58,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(4,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(23,1),(25,1),(66,1),(74,1),(104,1),(139,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(140,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(60,1),(71,1),(101,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(58,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(143,1),(149,1),(163,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(142,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(14,1),(36,1),(37,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(16,1),(37,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(12,1),(40,1),(82,1),(95,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1),(121,1),(134,1),(153,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(40,1),(43,1),(44,1),(46,1),(153,1),(169,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(78,1),(81,1),(89,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(38,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(125,1),(154,1),(170,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,5,6,7}:{(21,1),(26,1),(55,1),(99,1),(139,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(55,1),(56,1)}
        38:{2,4,5,7}:{(22,1),(30,1),(56,1),(58,1),(99,1),(162,1)}
        39:{3,4,6,7}:{(22,1),(31,1),(58,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(60,1)}
        41:{1,2,5,6}:{(24,1),(26,1),(59,1),(61,1),(113,1),(117,1),(140,1),(149,1),(150,1)}
        42:{1,2,4,5,7}:{(24,1),(27,1),(60,1),(61,1),(62,1),(70,1),(101,1),(103,1),(112,1),(116,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(59,1),(63,1),(66,1),(74,1),(104,1),(106,1),(114,1),(140,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(60,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(56,1),(65,1),(68,1),(71,1),(101,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(103,1),(112,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(58,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{2,4,6,7}:{(36,1),(37,1),(45,1),(76,1),(77,1)}
        56:{1,4,5,7}:{(37,1),(38,1),(47,1),(76,1),(78,1),(121,1),(152,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(48,1),(77,1),(78,1),(79,1),(118,1),(120,1),(152,1),(169,1)}
        58:{3,5,7}:{(38,1),(39,1),(50,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(43,1),(80,1),(82,1),(95,1),(122,1),(134,1),(161,1)}
        60:{1,4,7}:{(40,1),(44,1),(80,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(45,1),(80,1),(82,1),(91,1),(123,1),(133,1),(160,1)}
        62:{1,3,5,7}:{(42,1),(46,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(80,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(169,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(76,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(169,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(78,1),(87,1),(90,1),(92,1),(122,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(121,1),(124,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(56,1),(65,1),(97,1),(99,1),(137,1)}
        77:{3,6,7}:{(55,1),(66,1),(97,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(58,1),(68,1),(97,1),(99,1)}
        79:{2,4,6,7}:{(57,1),(69,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(60,1),(63,1),(101,1),(168,1)}
        81:{1,3,4,7}:{(60,1),(62,1),(64,1),(102,1),(103,1),(168,1),(174,1)}
        82:{1,3,6}:{(61,1),(62,1),(66,1),(104,1),(167,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(112,1),(140,1),(147,1),(166,1)}
        84:{2,4,5}:{(63,1),(71,1),(101,1),(106,1),(114,1),(140,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(103,1),(107,1),(108,1),(137,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(97,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(99,1),(113,1),(114,1),(140,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(77,1),(87,1),(118,1)}
        98:{2,3,6,7}:{(77,1),(79,1),(88,1),(119,1),(120,1),(169,1)}
        99:{2,5,7}:{(78,1),(79,1),(90,1),(121,1)}
       100:{1,4,6,7}:{(79,1),(91,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(84,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(85,1),(122,1),(123,1)}
       103:{2,4,7}:{(81,1),(83,1),(123,1),(124,1),(172,1)}
       104:{2,3,6}:{(82,1),(83,1),(123,1),(125,1),(133,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(123,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(124,1),(129,1),(130,1),(136,1),(152,1),(156,1),(169,1)}
       109:{3,4,6}:{(87,1),(118,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(119,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(121,1),(134,1),(154,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{3,4,7}:{(97,1),(109,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(110,1),(137,1),(138,1)}
       120:{1,3,6,7}:{(98,1),(100,1),(111,1),(138,1),(139,1)}
       121:{1,5,7}:{(99,1),(100,1),(113,1)}
       122:{1,3,5}:{(101,1),(102,1),(106,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,4,7}:{(103,1),(105,1),(141,1),(173,1)}
       125:{1,3,6}:{(104,1),(105,1),(141,1),(143,1)}
       126:{1,2,5,7}:{(105,1),(112,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(140,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(141,1),(145,1),(146,1),(148,1),(151,1),(164,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(137,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(131,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(132,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(120,1),(133,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,4,7}:{(124,1),(126,1),(130,1),(155,1),(156,1)}
       143:{1,2,6}:{(125,1),(126,1),(133,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(154,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(156,1),(159,1),(169,1)}
       148:{1,4,6}:{(131,1),(132,1),(152,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(153,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(148,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(149,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(146,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(142,1),(147,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(164,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(162,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(160,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(158,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(159,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(170,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(169,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(167,1)}
       170:{1,3,5}:{(163,1),(164,1),(166,1),(173,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1635 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(194,1),(204,1),(205,1),(308,1),(314,1),(404,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(255,1),(365,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(242,1),(258,1),(362,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(404,1),(410,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(205,1),(207,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(408,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(294,1),(308,1),(311,1),(430,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(83,1),(98,1),(99,1),(151,1),(159,1),(262,1),(271,1),(365,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(162,1),(166,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(258,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(358,1),(387,1),(388,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(410,1),(418,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(205,1),(323,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(117,1),(131,1),(132,1),(196,1),(206,1),(312,1),(319,1),(408,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(128,1),(133,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(211,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(311,1),(313,1),(336,1),(339,1),(340,1),(408,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(131,1),(404,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(365,1),(373,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(151,1),(162,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(258,1),(370,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(156,1),(245,1),(349,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(387,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(172,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(186,1),(265,1),(269,1),(285,1),(288,1),(290,1),(369,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(364,1),(380,1)}
        37:{1,3,4,5,6}:{(23,1),(57,1),(58,1),(68,1),(114,1),(199,1),(218,1),(219,1),(323,1),(398,1)}
        38:{2,3,4,5}:{(24,1),(59,1),(60,1),(124,1),(295,1),(418,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(408,1),(415,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(131,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(147,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(128,1),(136,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(131,1),(196,1),(211,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(396,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(131,1),(202,1),(298,1),(312,1),(427,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(333,1),(339,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(128,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(130,1),(146,1),(222,1),(226,1),(236,1),(238,1),(327,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(131,1),(225,1),(321,1),(329,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(408,1),(410,1)}
        57:{2,4,5,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(98,1),(151,1),(243,1),(435,1)}
        58:{1,3,4,5,7}:{(37,1),(40,1),(84,1),(85,1),(94,1),(152,1),(249,1),(267,1),(268,1),(352,1),(370,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(82,1),(86,1),(87,1),(162,1),(243,1),(373,1)}
        60:{1,3,4,5}:{(38,1),(41,1),(86,1),(88,1),(95,1),(160,1),(342,1)}
        61:{2,3,4,5,7}:{(38,1),(42,1),(87,1),(89,1),(90,1),(113,1),(165,1),(167,1),(193,1),(346,1),(369,1),(372,1),(454,1),(455,1),(457,1),(506,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(186,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(88,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(174,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(180,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(151,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(172,1),(174,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(245,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(362,1),(380,1),(384,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(180,1),(281,1),(288,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(172,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(187,1),(189,1),(191,1),(285,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(174,1),(278,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(369,1),(372,1)}
        82:{2,3,5,6}:{(57,1),(59,1),(114,1),(115,1),(323,1)}
        83:{1,4,5,6}:{(57,1),(62,1),(114,1),(117,1),(136,1),(292,1),(466,1)}
        84:{2,4,5,7}:{(57,1),(58,1),(63,1),(115,1),(117,1),(118,1),(131,1),(196,1),(296,1),(394,1)}
        85:{1,3,4,6,7}:{(58,1),(118,1),(119,1),(197,1),(299,1),(300,1),(396,1)}
        86:{1,3,4,6}:{(59,1),(60,1),(62,1),(114,1),(121,1),(122,1),(128,1),(205,1),(292,1)}
        87:{2,3,4,7}:{(59,1),(63,1),(115,1),(122,1),(211,1),(296,1),(415,1)}
        88:{2,4,5}:{(60,1),(121,1),(124,1)}
        89:{1,3,4,5,7}:{(60,1),(61,1),(66,1),(122,1),(125,1),(126,1),(134,1),(208,1),(213,1),(240,1),(327,1),(330,1),(389,1),(408,1),(410,1),(415,1),(418,1),(486,1),(488,1),(527,1)}
        90:{2,3,4,6}:{(61,1),(67,1),(126,1),(127,1),(147,1),(216,1),(237,1),(322,1),(393,1),(485,1),(526,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(121,1),(128,1),(129,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(130,1),(131,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(131,1),(132,1),(225,1)}
        95:{1,3,5}:{(65,1),(124,1),(128,1),(133,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(125,1),(129,1),(134,1),(135,1),(143,1),(223,1),(234,1),(327,1),(330,1),(527,1),(528,1),(529,1),(547,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(136,1)}
        98:{2,5,6}:{(67,1),(68,1),(131,1),(136,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(132,1),(137,1),(333,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(128,1),(138,1),(139,1),(144,1),(195,1),(220,1),(227,1),(234,1),(325,1),(334,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(129,1),(140,1),(196,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(130,1),(140,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(131,1),(141,1),(142,1),(225,1),(298,1),(318,1),(329,1),(335,1),(396,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(132,1),(142,1),(408,1)}
       105:{1,2,4}:{(73,1),(133,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(134,1),(143,1),(144,1),(234,1),(547,1),(548,1),(549,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(136,1),(145,1),(146,1),(236,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(146,1),(147,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(222,1),(236,1),(335,1),(520,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(145,1),(234,1),(329,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(146,1),(327,1),(330,1)}
       113:{3,4,5,7}:{(81,1),(147,1),(225,1),(415,1),(418,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(86,1),(151,1),(152,1)}
       115:{2,3,5,7}:{(82,1),(84,1),(87,1),(152,1),(153,1),(370,1)}
       116:{1,2,4,5,6}:{(83,1),(91,1),(151,1),(154,1),(155,1),(178,1),(181,1),(243,1),(271,1),(279,1),(282,1),(435,1),(440,1)}
       117:{1,4,5,7}:{(83,1),(84,1),(92,1),(152,1),(156,1),(174,1),(343,1),(432,1)}
       118:{2,4,6,7}:{(84,1),(85,1),(153,1),(156,1),(157,1),(245,1)}
       119:{1,3,5,6,7}:{(85,1),(94,1),(157,1),(158,1),(253,1),(352,1)}
       120:{1,2,4,5}:{(88,1),(159,1),(160,1),(255,1),(342,1),(355,1)}
       121:{2,4,6}:{(86,1),(88,1),(151,1),(162,1),(163,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(92,1),(152,1),(163,1),(172,1),(258,1),(343,1)}
       123:{2,3,4,6,7}:{(87,1),(90,1),(93,1),(153,1),(164,1),(165,1),(186,1),(247,1),(265,1),(285,1),(347,1),(369,1),(437,1),(438,1),(455,1),(496,1)}
       124:{2,3,5}:{(88,1),(95,1),(160,1),(162,1),(166,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(163,1),(167,1),(168,1),(266,1),(369,1),(372,1),(511,1),(512,1)}
       126:{1,3,4,6}:{(89,1),(90,1),(97,1),(168,1),(169,1),(177,1),(261,1),(279,1),(289,1),(365,1),(373,1),(431,1),(541,1)}
       127:{2,3,5,6}:{(90,1),(98,1),(165,1),(169,1),(170,1),(180,1),(281,1),(435,1),(498,1),(534,1)}
       128:{1,3,6}:{(91,1),(95,1),(162,1),(172,1)}
       129:{1,2,4,7}:{(91,1),(92,1),(101,1),(163,1),(172,1)}
       130:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(174,1)}
       131:{2,5,7}:{(93,1),(94,1),(98,1),(174,1)}
       132:{1,4,5,7}:{(94,1),(99,1),(104,1),(175,1),(380,1)}
       133:{1,3,4}:{(95,1),(105,1),(166,1)}
       134:{1,3,5,7}:{(95,1),(96,1),(167,1),(172,1),(176,1),(177,1),(278,1),(542,1),(543,1)}
       135:{1,2,4,6}:{(96,1),(97,1),(107,1),(168,1),(177,1),(178,1),(279,1),(541,1),(551,1)}
       136:{1,5,6}:{(97,1),(98,1),(174,1)}
       137:{2,4,5,6}:{(98,1),(99,1),(109,1),(175,1),(179,1),(180,1),(281,1)}
       138:{1,2,4,6}:{(100,1),(105,1),(171,1),(181,1),(182,1),(243,1),(279,1)}
       139:{1,2,3,5,7}:{(100,1),(101,1),(172,1),(182,1),(183,1),(244,1),(273,1),(275,1),(283,1)}
       140:{1,2,6,7}:{(101,1),(102,1),(107,1),(245,1)}
       141:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(174,1),(184,1),(185,1),(275,1),(277,1),(284,1)}
       142:{2,4,6,7}:{(103,1),(104,1),(109,1),(175,1),(185,1),(186,1),(369,1)}
       143:{1,2,4,7}:{(105,1),(106,1),(176,1),(187,1),(552,1)}
       144:{1,2,3,6}:{(106,1),(107,1),(177,1),(187,1),(551,1)}
       145:{1,2,5,6}:{(107,1),(108,1),(111,1),(189,1),(281,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1)}
       147:{3,4,6}:{(109,1),(113,1),(180,1)}
       148:{1,2,3,5,7}:{(110,1),(111,1),(188,1),(191,1),(192,1),(275,1),(379,1),(508,1),(542,1)}
       149:{1,2,4,5,7}:{(111,1),(112,1),(189,1),(191,1),(192,1),(193,1),(286,1)}
       150:{1,3,4,5,7}:{(112,1),(113,1),(190,1),(192,1),(193,1),(277,1),(378,1),(381,1)}
       151:{2,5,6}:{(114,1),(121,1),(196,1)}
       152:{1,3,5,7}:{(114,1),(115,1),(117,1),(122,1),(196,1),(197,1)}
       153:{2,3,6,7}:{(115,1),(118,1),(197,1),(396,1)}
       154:{1,3,5,6}:{(116,1),(128,1),(195,1),(199,1),(200,1),(220,1),(323,1),(325,1)}
       155:{1,2,4,5,7}:{(116,1),(117,1),(129,1),(196,1),(200,1),(201,1),(223,1),(296,1),(319,1),(327,1),(394,1),(399,1)}
       156:{1,4,6,7}:{(117,1),(118,1),(197,1),(202,1)}
       157:{2,5,6,7}:{(118,1),(119,1),(131,1),(202,1),(394,1)}
       158:{1,4,5,6,7}:{(119,1),(132,1),(203,1),(299,1),(399,1),(400,1)}
       159:{1,2,4,6}:{(120,1),(121,1),(194,1),(205,1),(206,1),(292,1)}
       160:{1,3,5}:{(120,1),(124,1),(205,1),(207,1)}
       161:{1,2,4,5,7}:{(120,1),(125,1),(206,1),(208,1),(209,1),(240,1),(307,1),(312,1),(341,1),(389,1),(401,1),(404,1),(408,1),(410,1),(490,1),(491,1)}
       162:{2,3,6}:{(121,1),(124,1),(128,1),(205,1),(211,1)}
       163:{2,4,7}:{(121,1),(122,1),(196,1),(211,1)}
       164:{1,3,4,6,7}:{(122,1),(123,1),(126,1),(130,1),(197,1),(212,1),(213,1),(222,1),(299,1),(311,1),(327,1),(336,1),(390,1),(396,1),(408,1),(415,1),(472,1),(486,1),(519,1)}
       165:{2,3,5,7}:{(123,1),(127,1),(131,1),(213,1),(214,1),(225,1),(329,1),(394,1),(471,1),(518,1)}
       166:{2,3,4}:{(124,1),(133,1),(207,1)}
       167:{2,3,5,7}:{(124,1),(125,1),(134,1),(208,1),(211,1),(215,1),(216,1),(321,1),(531,1),(532,1)}
       168:{2,4,6}:{(125,1),(126,1),(216,1),(217,1)}
       169:{1,3,5,6}:{(126,1),(127,1),(136,1),(213,1),(217,1),(218,1),(323,1),(333,1),(466,1),(545,1)}
       170:{2,4,5,6}:{(127,1),(214,1),(218,1),(219,1),(322,1)}
       171:{1,3,4,6}:{(128,1),(133,1),(138,1),(210,1),(220,1),(221,1),(325,1)}
       172:{1,3,7}:{(128,1),(129,1),(211,1)}
       173:{1,2,4,6,7}:{(129,1),(130,1),(135,1),(140,1),(212,1),(222,1),(223,1),(327,1),(519,1),(520,1),(528,1)}
       174:{1,5,7}:{(130,1),(131,1),(136,1)}
       175:{2,4,5,7}:{(131,1),(132,1),(137,1),(142,1),(224,1),(225,1),(329,1)}
       176:{1,3,4,7}:{(133,1),(134,1),(143,1),(215,1),(226,1),(327,1),(550,1)}
       177:{1,3,6}:{(134,1),(135,1),(216,1)}
       178:{1,2,5,6}:{(135,1),(136,1),(217,1),(223,1),(227,1),(234,1),(545,1)}
       179:{1,4,5,6}:{(136,1),(137,1),(146,1),(224,1),(229,1)}
       180:{3,5,6}:{(137,1),(147,1),(225,1)}
       181:{1,2,4,5}:{(138,1),(220,1),(234,1),(295,1),(330,1)}
       182:{1,2,4,7}:{(138,1),(139,1),(221,1),(296,1),(327,1)}
       183:{1,2,3,6,7}:{(139,1),(140,1),(144,1),(222,1),(231,1),(297,1),(325,1),(548,1)}
       184:{1,2,5,6,7}:{(140,1),(141,1),(145,1),(223,1),(232,1),(298,1),(329,1),(400,1)}
       185:{1,4,6,7}:{(141,1),(142,1),(146,1),(224,1),(327,1)}
       186:{3,4,6,7}:{(142,1),(147,1),(225,1),(396,1),(415,1)}
       187:{1,2,4,6}:{(143,1),(144,1),(226,1),(234,1)}
       188:{1,2,3,5,6}:{(144,1),(145,1),(148,1),(227,1),(234,1),(235,1),(236,1),(332,1),(337,1),(484,1),(530,1),(549,1)}
       189:{1,2,4,6}:{(145,1),(146,1),(149,1),(236,1),(237,1)}
       190:{1,3,4,6}:{(146,1),(147,1),(150,1),(229,1),(236,1),(237,1)}
       191:{1,2,4,7}:{(148,1),(235,1),(238,1),(327,1),(422,1)}
       192:{1,3,5,7}:{(149,1),(236,1),(238,1),(239,1),(337,1)}
       193:{2,4,5,7}:{(150,1),(237,1),(239,1),(240,1),(329,1),(422,1),(424,1)}
       194:{1,2,5,6}:{(151,1),(159,1),(241,1),(242,1),(355,1),(441,1)}
       195:{2,3,5,6}:{(151,1),(154,1),(162,1),(241,1),(243,1),(244,1),(263,1),(367,1),(435,1)}
       196:{2,5,7}:{(151,1),(152,1),(163,1),(245,1)}
       197:{1,3,6,7}:{(152,1),(153,1),(156,1),(245,1)}
       198:{2,3,5,6,7}:{(153,1),(157,1),(165,1),(246,1),(247,1),(253,1),(354,1),(438,1)}
       199:{1,3,4,6}:{(154,1),(243,1),(248,1),(249,1),(279,1),(373,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(172,1),(244,1),(249,1),(250,1),(370,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(245,1),(250,1),(251,1),(282,1),(347,1),(349,1),(353,1)}
       202:{1,5,6,7}:{(156,1),(157,1),(174,1),(432,1)}
       203:{2,4,5,6,7}:{(157,1),(158,1),(175,1),(247,1),(252,1),(253,1),(349,1),(354,1),(436,1)}
       204:{1,2,3,5}:{(160,1),(254,1),(255,1),(355,1)}
       205:{1,3,6}:{(159,1),(160,1),(162,1),(258,1)}
       206:{1,2,4,7}:{(159,1),(163,1),(242,1),(258,1),(343,1)}
       207:{1,3,4}:{(160,1),(166,1),(255,1)}
       208:{1,3,5,7}:{(160,1),(161,1),(167,1),(258,1),(260,1),(261,1),(364,1),(514,1),(515,1)}
       209:{1,2,4,6}:{(161,1),(168,1),(261,1),(262,1),(289,1),(365,1),(387,1),(431,1),(441,1)}
       210:{2,3,4,6}:{(162,1),(166,1),(171,1),(243,1),(257,1),(263,1),(264,1),(367,1)}
       211:{2,3,7}:{(162,1),(163,1),(172,1),(258,1)}
       212:{2,4,6,7}:{(163,1),(164,1),(168,1),(245,1),(265,1),(266,1),(369,1),(499,1),(511,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(169,1),(174,1),(266,1),(267,1),(370,1),(380,1),(432,1),(535,1)}
       214:{2,4,5,7}:{(165,1),(170,1),(247,1),(267,1),(268,1),(369,1)}
       215:{2,3,4,7}:{(166,1),(167,1),(176,1),(260,1),(269,1),(369,1),(544,1)}
       216:{2,3,6}:{(167,1),(168,1),(177,1),(261,1)}
       217:{2,5,6}:{(168,1),(169,1),(266,1)}
       218:{1,4,5,6}:{(169,1),(170,1),(267,1),(271,1),(279,1),(365,1)}
       219:{3,4,5,6}:{(170,1),(180,1),(268,1),(373,1),(498,1)}
       220:{1,3,5}:{(171,1),(181,1),(263,1)}
       221:{1,3,4,7}:{(171,1),(172,1),(182,1),(264,1),(273,1)}
       222:{1,3,6,7}:{(172,1),(173,1),(177,1),(265,1),(275,1),(542,1)}
       223:{1,2,5,7}:{(173,1),(174,1),(178,1),(266,1),(275,1),(535,1)}
       224:{1,4,5,7}:{(174,1),(175,1),(179,1),(185,1),(277,1)}
       225:{3,5,7}:{(175,1),(180,1),(186,1)}
       226:{1,3,4,6}:{(176,1),(177,1),(187,1),(269,1),(278,1),(279,1)}
       227:{1,3,5,6}:{(177,1),(178,1),(270,1),(275,1),(278,1),(279,1)}
       228:{1,2,4,5,6}:{(178,1),(179,1),(189,1),(271,1),(276,1),(279,1),(280,1),(281,1),(286,1),(375,1),(382,1),(459,1),(510,1)}
       229:{1,3,5,6}:{(179,1),(180,1),(190,1),(277,1),(281,1)}
       230:{1,2,4,5,7}:{(181,1),(182,1),(273,1),(282,1),(283,1),(346,1),(377,1)}
       231:{1,2,4,6,7}:{(182,1),(183,1),(187,1),(274,1),(282,1),(283,1),(347,1),(538,1),(551,1)}
       232:{1,2,4,6,7}:{(184,1),(185,1),(189,1),(276,1),(284,1),(285,1),(349,1),(439,1),(499,1)}
       233:{1,3,4,6,7}:{(185,1),(186,1),(190,1),(277,1),(284,1),(285,1),(378,1)}
       234:{1,2,5}:{(187,1),(278,1)}
       235:{1,2,4,6}:{(188,1),(191,1),(279,1),(286,1),(287,1),(382,1),(552,1)}
       236:{1,3,6}:{(189,1),(192,1),(288,1)}
       237:{2,4,6}:{(190,1),(193,1),(281,1),(288,1),(289,1)}
       238:{1,3,4,7}:{(191,1),(192,1),(287,1),(290,1),(542,1)}
       239:{2,3,5,7}:{(192,1),(193,1),(288,1),(290,1),(291,1),(385,1)}
       240:{1,4,5,7}:{(193,1),(289,1),(291,1),(380,1),(460,1),(462,1)}
       241:{1,3,5,6}:{(194,1),(195,1),(205,1),(292,1),(293,1),(309,1),(406,1),(466,1)}
       242:{1,2,5,7}:{(194,1),(196,1),(206,1),(293,1),(294,1)}
       243:{2,4,6}:{(195,1),(199,1),(292,1),(295,1),(296,1)}
       244:{2,3,5,7}:{(195,1),(196,1),(200,1),(211,1),(293,1),(296,1),(297,1),(394,1)}
       245:{2,6,7}:{(196,1),(197,1)}
       246:{1,3,5,6,7}:{(197,1),(198,1),(202,1),(213,1),(298,1),(299,1),(396,1),(400,1),(472,1)}
       247:{2,4,6,7}:{(198,1),(214,1),(299,1),(300,1)}
       248:{1,3,4,5}:{(199,1),(220,1),(295,1),(330,1),(418,1)}
       249:{1,3,4,7}:{(199,1),(200,1),(296,1),(327,1),(415,1)}
       250:{1,3,6,7}:{(200,1),(201,1),(297,1),(325,1),(396,1)}
       251:{1,2,5,6,7}:{(201,1),(202,1),(223,1),(298,1),(303,1),(334,1),(394,1),(520,1)}
       252:{1,4,5,6,7}:{(202,1),(203,1),(224,1),(299,1),(304,1),(467,1)}
       253:{3,5,6,7}:{(203,1),(225,1),(300,1),(396,1),(471,1)}
       254:{1,2,3,6}:{(204,1),(205,1),(305,1),(306,1)}
       255:{1,2,4}:{(204,1),(207,1)}
       256:{1,2,3,5,7}:{(204,1),(208,1),(306,1),(307,1),(308,1),(341,1),(401,1),(404,1),(430,1),(493,1)}
       257:{1,3,4,6}:{(205,1),(207,1),(210,1),(292,1),(305,1),(309,1),(310,1),(406,1)}
       258:{1,3,7}:{(205,1),(206,1),(211,1)}
       259:{1,2,4,6,7}:{(206,1),(209,1),(212,1),(294,1),(311,1),(312,1),(336,1),(390,1),(408,1),(427,1),(490,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(215,1),(307,1),(313,1),(408,1),(533,1)}
       261:{1,3,6}:{(208,1),(209,1),(216,1)}
       262:{1,2,5,6}:{(209,1),(217,1),(312,1),(314,1),(333,1),(404,1),(466,1)}
       263:{2,3,5}:{(210,1),(220,1),(295,1),(309,1)}
       264:{2,3,4,7}:{(210,1),(211,1),(221,1),(296,1),(310,1),(316,1)}
       265:{2,3,6,7}:{(211,1),(212,1),(216,1),(222,1),(311,1),(318,1),(396,1),(531,1)}
       266:{2,5,7}:{(212,1),(213,1),(217,1)}
       267:{1,4,5,7}:{(213,1),(214,1),(218,1),(299,1),(319,1),(327,1),(408,1)}
       268:{3,4,5,7}:{(214,1),(219,1),(225,1),(300,1),(415,1),(471,1)}
       269:{2,3,4,6}:{(215,1),(216,1),(226,1),(313,1),(321,1),(322,1)}
       270:{2,3,5,6}:{(216,1),(217,1),(227,1),(314,1),(318,1),(321,1),(322,1),(323,1)}
       271:{2,4,5,6}:{(217,1),(218,1),(319,1),(322,1),(323,1)}
       272:{1,3,4,5,6}:{(218,1),(219,1),(229,1),(320,1),(323,1),(324,1),(331,1),(411,1),(420,1),(517,1)}
       273:{1,3,5,7}:{(220,1),(221,1),(230,1),(316,1),(325,1)}
       274:{1,3,4,6,7}:{(221,1),(222,1),(226,1),(231,1),(317,1),(325,1),(326,1),(327,1),(421,1),(519,1),(523,1),(546,1)}
       275:{1,3,5,7}:{(222,1),(223,1),(227,1),(318,1),(327,1)}
       276:{1,2,4,5,7}:{(223,1),(224,1),(228,1),(232,1),(319,1),(327,1),(328,1),(329,1),(417,1),(422,1),(487,1),(528,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(229,1),(233,1),(329,1)}
       278:{1,3,5}:{(226,1),(234,1),(321,1),(330,1)}
       279:{1,4,6}:{(227,1),(322,1),(327,1),(330,1)}
       280:{1,3,5,6}:{(228,1),(236,1),(323,1),(328,1),(331,1),(332,1),(337,1),(530,1)}
       281:{2,5,6}:{(229,1),(237,1),(329,1),(333,1)}
       282:{1,2,4,6}:{(230,1),(325,1),(334,1),(393,1),(421,1)}
       283:{1,2,5,7}:{(231,1),(234,1),(326,1),(334,1),(394,1)}
       284:{1,3,6,7}:{(232,1),(236,1),(328,1),(335,1),(396,1)}
       285:{2,4,6,7}:{(233,1),(237,1),(329,1),(335,1),(336,1),(422,1)}
       286:{1,2,4,5}:{(234,1),(235,1),(330,1),(337,1),(424,1)}
       287:{1,3,4,6}:{(235,1),(236,1),(238,1),(337,1),(338,1),(530,1),(550,1)}
       288:{2,3,6}:{(236,1),(237,1),(239,1),(339,1)}
       289:{1,4,6}:{(237,1),(240,1),(333,1),(339,1)}
       290:{2,3,4,7}:{(238,1),(239,1),(338,1),(340,1),(422,1),(531,1)}
       291:{1,3,5,7}:{(239,1),(240,1),(339,1),(340,1),(341,1),(428,1)}
       292:{1,4,6}:{(241,1),(243,1),(342,1),(343,1)}
       293:{1,3,5,7}:{(241,1),(242,1),(244,1),(258,1),(343,1),(344,1),(432,1)}
       294:{1,2,6,7}:{(242,1),(245,1),(344,1),(441,1)}
       295:{2,4,5}:{(243,1),(248,1),(263,1),(342,1)}
       296:{2,4,7}:{(243,1),(244,1),(249,1),(343,1)}
       297:{2,3,6,7}:{(244,1),(245,1),(250,1),(344,1),(347,1),(367,1)}
       298:{2,5,6,7}:{(245,1),(246,1),(266,1),(349,1),(499,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(267,1),(349,1)}
       300:{3,4,6,7}:{(247,1),(253,1),(268,1)}
       301:{1,3,4,5,7}:{(248,1),(249,1),(273,1),(346,1),(351,1),(352,1),(377,1),(454,1)}
       302:{1,3,4,6,7}:{(249,1),(250,1),(347,1),(351,1),(352,1),(353,1),(437,1)}
       303:{1,3,5,6,7}:{(250,1),(251,1),(275,1),(348,1),(352,1),(353,1),(376,1),(497,1),(535,1)}
       304:{1,3,5,6,7}:{(252,1),(253,1),(277,1),(350,1),(354,1),(495,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(257,1),(355,1),(356,1),(441,1)}
       306:{1,2,3,7}:{(254,1),(258,1),(356,1)}
       307:{1,2,4,7}:{(255,1),(256,1),(260,1),(358,1),(516,1)}
       308:{1,2,3,6}:{(256,1),(261,1),(358,1),(387,1),(441,1)}
       309:{1,3,5}:{(257,1),(263,1),(342,1),(355,1)}
       310:{1,3,4,7}:{(257,1),(258,1),(264,1),(343,1),(356,1),(360,1)}
       311:{1,3,6,7}:{(258,1),(259,1),(261,1),(265,1),(362,1),(514,1)}
       312:{1,2,5,7}:{(259,1),(262,1),(266,1),(362,1),(380,1),(432,1)}
       313:{1,3,4,6}:{(260,1),(261,1),(269,1),(358,1),(364,1),(365,1)}
       314:{1,3,5,6}:{(261,1),(262,1),(270,1),(362,1),(364,1),(365,1)}
       315:{1,2,4,5,6}:{(262,1),(271,1),(363,1),(365,1),(366,1),(375,1),(444,1),(451,1),(459,1),(463,1),(494,1),(500,1),(534,1)}
       316:{2,3,5,7}:{(263,1),(264,1),(273,1),(346,1),(360,1),(367,1)}
       317:{2,3,4,6,7}:{(264,1),(265,1),(269,1),(274,1),(347,1),(361,1),(367,1),(368,1),(369,1),(437,1),(453,1),(496,1),(502,1),(536,1)}
       318:{2,3,5,7}:{(265,1),(266,1),(270,1),(275,1),(362,1),(369,1),(370,1)}
       319:{2,4,5,7}:{(266,1),(267,1),(271,1),(349,1),(369,1),(370,1)}
       320:{1,3,4,5,7}:{(267,1),(268,1),(272,1),(277,1),(350,1),(370,1),(371,1),(378,1),(448,1),(456,1),(495,1)}
       321:{2,3,5}:{(269,1),(278,1),(364,1),(372,1)}
       322:{2,4,6}:{(270,1),(279,1),(365,1),(369,1),(372,1),(373,1)}
       323:{3,5,6}:{(271,1),(370,1),(373,1)}
       324:{2,4,5,6}:{(272,1),(281,1),(371,1),(374,1),(375,1),(382,1),(451,1),(459,1),(534,1)}
       325:{1,3,6}:{(273,1),(282,1),(367,1)}
       326:{1,3,5,7}:{(274,1),(278,1),(283,1),(368,1),(376,1),(377,1),(535,1)}
       327:{1,4,7}:{(275,1),(279,1),(369,1)}
       328:{1,3,5,7}:{(276,1),(280,1),(284,1),(370,1),(378,1),(379,1),(542,1)}
       329:{2,5,7}:{(277,1),(281,1),(285,1),(380,1)}
       330:{1,4,5}:{(278,1),(279,1),(372,1)}
       331:{1,3,4,6}:{(279,1),(280,1),(373,1),(378,1),(381,1),(382,1)}
       332:{2,3,5,6}:{(280,1),(281,1),(288,1),(379,1),(382,1),(383,1),(385,1),(459,1),(513,1)}
       333:{1,5,6}:{(281,1),(289,1),(380,1)}
       334:{1,2,5,6}:{(282,1),(283,1),(376,1),(435,1),(551,1)}
       335:{2,3,6,7}:{(284,1),(285,1),(288,1),(379,1),(384,1),(499,1)}
       336:{1,4,6,7}:{(285,1),(289,1),(380,1),(384,1),(460,1)}
       337:{1,3,5}:{(286,1),(287,1),(385,1)}
       338:{2,3,4,6}:{(287,1),(288,1),(290,1),(382,1),(385,1),(386,1),(513,1),(544,1)}
       339:{1,3,6}:{(288,1),(289,1),(291,1),(387,1)}
       340:{1,3,4,7}:{(290,1),(291,1),(386,1),(388,1),(460,1),(514,1)}
       341:{1,2,5,7}:{(291,1),(387,1),(388,1),(464,1)}
       342:{1,4,5}:{(292,1),(295,1),(309,1)}
       343:{1,4,7}:{(292,1),(293,1),(296,1)}
       344:{1,3,6,7}:{(293,1),(294,1),(297,1),(390,1),(406,1)}
       345:{1,2,5,6,7}:{(294,1),(298,1),(312,1),(391,1),(392,1),(400,1),(473,1),(518,1)}
       346:{2,4,5,7}:{(295,1),(296,1),(301,1),(316,1),(389,1),(393,1),(394,1)}
       347:{2,4,6,7}:{(296,1),(297,1),(302,1),(390,1),(393,1),(394,1)}
       348:{2,3,5,6,7}:{(297,1),(298,1),(303,1),(318,1),(391,1),(394,1),(395,1),(396,1),(413,1),(469,1),(471,1),(518,1)}
       349:{2,4,6,7}:{(298,1),(299,1),(319,1),(396,1)}
       350:{1,3,4,6,7}:{(299,1),(300,1),(304,1),(320,1),(396,1),(397,1),(472,1)}
       351:{1,3,4,6}:{(301,1),(325,1),(393,1),(398,1),(421,1),(485,1)}
       352:{1,3,5,7}:{(302,1),(394,1),(398,1),(399,1),(471,1)}
       353:{1,4,6,7}:{(303,1),(327,1),(395,1),(399,1),(421,1)}
       354:{2,5,6,7}:{(304,1),(329,1),(397,1),(400,1),(518,1)}
       355:{1,2,5}:{(305,1),(309,1)}
       356:{1,2,4,7}:{(305,1),(306,1),(310,1),(401,1)}
       357:{1,2,3,6,7}:{(306,1),(308,1),(311,1),(402,1),(403,1),(427,1),(469,1),(521,1)}
       358:{1,2,4,6}:{(307,1),(308,1),(313,1),(404,1)}
       359:{1,2,3,5,6}:{(308,1),(314,1),(403,1),(404,1),(405,1),(412,1),(426,1),(473,1),(476,1),(492,1),(493,1),(521,1)}
       360:{1,3,5,7}:{(309,1),(310,1),(316,1),(389,1),(401,1),(406,1)}
       361:{1,3,4,6,7}:{(310,1),(311,1),(313,1),(317,1),(390,1),(402,1),(406,1),(407,1),(408,1),(475,1),(478,1),(521,1)}
       362:{1,3,5,7}:{(311,1),(312,1),(314,1),(318,1),(408,1)}
       363:{1,2,4,5,7}:{(312,1),(315,1),(319,1),(392,1),(408,1),(409,1),(417,1),(467,1),(480,1),(487,1),(490,1),(518,1)}
       364:{1,3,5}:{(313,1),(321,1),(404,1),(410,1)}
       365:{1,4,6}:{(314,1),(322,1),(408,1),(410,1)}
       366:{1,3,5,6}:{(315,1),(323,1),(409,1),(411,1),(412,1),(476,1),(492,1),(521,1)}
       367:{2,3,6}:{(316,1),(325,1),(393,1),(406,1)}
       368:{2,3,5,7}:{(317,1),(321,1),(326,1),(394,1),(407,1),(413,1),(414,1),(471,1),(518,1)}
       369:{2,4,7}:{(318,1),(322,1),(327,1),(408,1),(415,1)}
       370:{3,5,7}:{(319,1),(323,1),(396,1),(415,1)}
       371:{2,4,5,7}:{(320,1),(324,1),(329,1),(397,1),(416,1),(417,1),(422,1),(480,1),(487,1),(518,1)}
       372:{2,4,5}:{(321,1),(322,1),(330,1),(410,1),(418,1)}
       373:{3,4,6}:{(322,1),(323,1),(415,1),(418,1)}
       374:{2,3,5,6}:{(323,1),(324,1),(416,1),(419,1),(420,1)}
       375:{1,4,5,6}:{(324,1),(333,1),(417,1),(420,1),(425,1),(483,1),(545,1)}
       376:{1,3,5,6}:{(325,1),(326,1),(334,1),(413,1),(421,1),(545,1),(546,1)}
       377:{1,4,5,7}:{(326,1),(327,1),(330,1),(414,1),(421,1)}
       378:{1,3,4,7}:{(327,1),(328,1),(331,1),(415,1),(422,1)}
       379:{2,3,5,7}:{(328,1),(329,1),(332,1),(335,1),(422,1),(423,1),(487,1),(531,1)}
       380:{1,5,7}:{(329,1),(333,1),(336,1)}
       381:{1,3,4,5}:{(330,1),(331,1),(337,1),(418,1),(424,1)}
       382:{2,4,6}:{(331,1),(332,1),(422,1),(424,1),(425,1)}
       383:{1,3,5,6}:{(332,1),(333,1),(339,1),(423,1),(425,1),(426,1),(428,1),(492,1)}
       384:{1,3,6,7}:{(335,1),(336,1),(339,1),(423,1),(427,1)}
       385:{2,3,5}:{(337,1),(338,1),(424,1),(428,1)}
       386:{1,3,4,6}:{(338,1),(339,1),(340,1),(425,1),(428,1),(429,1),(492,1),(533,1)}
       387:{1,2,6}:{(339,1),(341,1)}
       388:{1,2,4,7}:{(340,1),(341,1),(429,1),(430,1)}
       389:{1,4,5,7}:{(342,1),(343,1),(346,1),(360,1),(431,1),(432,1)}
       390:{1,4,6,7}:{(343,1),(344,1),(347,1),(431,1),(432,1)}
       391:{1,3,5,6,7}:{(344,1),(345,1),(348,1),(362,1),(432,1),(433,1),(434,1),(446,1),(495,1)}
       392:{1,2,4,6,7}:{(345,1),(349,1),(363,1),(433,1),(434,1),(439,1),(496,1),(499,1),(500,1)}
       393:{2,4,6}:{(346,1),(351,1),(367,1),(431,1),(435,1)}
       394:{2,5,7}:{(347,1),(352,1),(432,1),(435,1)}
       395:{2,4,6,7}:{(348,1),(353,1),(369,1),(433,1),(436,1),(437,1),(453,1)}
       396:{3,6,7}:{(349,1),(370,1)}
       397:{2,4,6,7}:{(350,1),(354,1),(371,1),(438,1),(439,1),(499,1)}
       398:{1,3,5,6}:{(351,1),(352,1),(435,1),(440,1),(498,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(436,1),(440,1),(535,1)}
       400:{1,5,6,7}:{(354,1),(380,1),(439,1),(535,1)}
       401:{1,2,5,7}:{(355,1),(356,1),(360,1),(441,1)}
       402:{1,2,4,6,7}:{(356,1),(357,1),(358,1),(361,1),(441,1),(442,1),(443,1),(496,1),(500,1)}
       403:{1,2,3,5,7}:{(357,1),(359,1),(362,1),(442,1),(443,1),(449,1),(461,1),(501,1),(514,1)}
       404:{1,2,5}:{(358,1),(364,1)}
       405:{1,2,4,6}:{(359,1),(365,1),(443,1),(444,1),(445,1),(451,1),(516,1)}
       406:{1,3,6}:{(360,1),(367,1),(431,1),(441,1)}
       407:{1,3,5,7}:{(361,1),(364,1),(368,1),(432,1),(442,1),(446,1),(447,1)}
       408:{1,4,7}:{(362,1),(365,1),(369,1)}
       409:{1,3,5,7}:{(363,1),(366,1),(370,1),(434,1),(448,1),(449,1),(514,1)}
       410:{1,4,5}:{(364,1),(365,1),(372,1)}
       411:{1,3,4,6}:{(365,1),(366,1),(373,1),(448,1),(450,1),(451,1)}
       412:{2,3,5,6}:{(366,1),(449,1),(451,1),(452,1),(459,1),(503,1),(513,1),(534,1),(536,1)}
       413:{2,3,5,6}:{(367,1),(368,1),(376,1),(435,1),(446,1),(453,1),(498,1),(534,1),(536,1)}
       414:{2,4,5,7}:{(368,1),(369,1),(372,1),(377,1),(447,1),(453,1),(454,1)}
       415:{3,4,7}:{(369,1),(370,1),(373,1)}
       416:{2,3,5,7}:{(370,1),(371,1),(374,1),(438,1),(455,1),(456,1)}
       417:{1,4,5,7}:{(371,1),(375,1),(380,1),(439,1),(456,1),(460,1),(507,1),(535,1)}
       418:{3,4,5}:{(372,1),(373,1)}
       419:{2,3,4,6}:{(373,1),(374,1),(382,1),(451,1),(455,1),(457,1),(458,1),(513,1)}
       420:{1,3,5,6}:{(374,1),(375,1),(456,1),(458,1),(459,1)}
       421:{1,4,6}:{(376,1),(377,1),(453,1)}
       422:{2,4,7}:{(378,1),(379,1),(382,1),(460,1)}
       423:{1,3,5,7}:{(379,1),(380,1),(383,1),(384,1),(460,1),(461,1),(514,1)}
       424:{2,4,5}:{(381,1),(382,1),(385,1),(462,1)}
       425:{1,4,6}:{(382,1),(383,1),(460,1),(462,1)}
       426:{1,2,5,6}:{(383,1),(387,1),(459,1),(461,1),(463,1),(464,1)}
       427:{1,2,6,7}:{(384,1),(387,1),(461,1),(499,1)}
       428:{1,3,5}:{(385,1),(386,1),(462,1),(464,1)}
       429:{1,2,4,6}:{(386,1),(387,1),(388,1),(464,1),(465,1),(516,1)}
       430:{1,2,3,7}:{(388,1),(465,1),(514,1)}
       431:{1,4,6}:{(389,1),(393,1),(406,1),(466,1)}
       432:{1,5,7}:{(390,1),(394,1),(466,1)}
       433:{1,4,6,7}:{(391,1),(395,1),(408,1),(467,1),(478,1)}
       434:{1,3,6,7}:{(392,1),(396,1),(409,1),(469,1),(521,1)}
       435:{2,5,6}:{(393,1),(394,1),(398,1),(466,1)}
       436:{2,4,5,7}:{(394,1),(395,1),(399,1),(467,1),(470,1),(471,1),(518,1)}
       437:{3,4,6,7}:{(395,1),(396,1),(415,1),(471,1),(485,1)}
       438:{2,3,6,7}:{(396,1),(397,1),(416,1),(472,1)}
       439:{1,4,6,7}:{(397,1),(400,1),(417,1),(472,1)}
       440:{1,4,5,6}:{(398,1),(399,1),(421,1),(470,1),(545,1)}
       441:{1,2,6}:{(401,1),(406,1)}
       442:{1,2,5,7}:{(402,1),(404,1),(407,1),(473,1),(518,1)}
       443:{1,2,4,7}:{(403,1),(405,1),(408,1),(475,1),(480,1)}
       444:{1,2,4,5}:{(404,1),(405,1),(410,1),(476,1),(482,1)}
       445:{1,3,4,6}:{(405,1),(475,1),(476,1),(477,1),(492,1),(521,1),(533,1)}
       446:{1,3,5,6}:{(406,1),(407,1),(413,1),(466,1),(473,1),(478,1),(521,1)}
       447:{1,4,5,7}:{(407,1),(408,1),(410,1),(414,1),(478,1)}
       448:{1,3,4,7}:{(408,1),(409,1),(411,1),(415,1),(480,1)}
       449:{2,3,5,7}:{(409,1),(412,1),(469,1),(480,1),(481,1),(487,1),(518,1),(531,1)}
       450:{1,3,4,5}:{(410,1),(411,1),(418,1),(476,1),(482,1)}
       451:{2,4,6}:{(411,1),(412,1),(480,1),(482,1),(483,1)}
       452:{1,3,5,6}:{(412,1),(481,1),(483,1),(484,1),(524,1),(530,1),(545,1),(546,1)}
       453:{2,4,6}:{(413,1),(414,1),(421,1),(478,1),(485,1)}
       454:{3,4,5,7}:{(414,1),(415,1),(418,1),(471,1),(485,1)}
       455:{2,3,4,7}:{(415,1),(416,1),(419,1),(422,1),(480,1),(486,1),(531,1)}
       456:{1,3,5,7}:{(416,1),(417,1),(420,1),(472,1),(486,1),(487,1)}
       457:{2,3,4,5}:{(418,1),(419,1),(424,1),(482,1),(488,1),(532,1)}
       458:{1,3,4,6}:{(419,1),(420,1),(425,1),(483,1),(486,1),(488,1),(489,1),(492,1),(530,1)}
       459:{2,5,6}:{(420,1),(487,1),(489,1)}
       460:{1,4,7}:{(422,1),(423,1),(425,1)}
       461:{1,2,5,7}:{(423,1),(426,1),(427,1),(487,1),(490,1)}
       462:{1,4,5}:{(424,1),(425,1),(428,1)}
       463:{1,2,4,6}:{(425,1),(426,1),(489,1),(490,1),(491,1),(492,1)}
       464:{1,2,5}:{(428,1),(429,1)}
       465:{1,2,3,6}:{(429,1),(430,1),(492,1),(493,1)}
       466:{1,5,6}:{(431,1),(432,1),(435,1)}
       467:{1,4,5,7}:{(432,1),(433,1),(436,1),(494,1),(495,1)}
       468:{1,3,4,6,7}:{(433,1),(434,1),(437,1),(448,1),(495,1),(496,1),(505,1)}
       469:{2,3,6,7}:{(434,1),(449,1),(496,1),(497,1),(499,1),(536,1)}
       470:{2,4,5,6}:{(435,1),(436,1),(440,1),(453,1),(494,1),(498,1),(534,1)}
       471:{3,5,7}:{(436,1),(437,1),(498,1)}
       472:{1,3,6,7}:{(438,1),(439,1),(456,1),(499,1)}
       473:{1,2,5,6}:{(441,1),(442,1),(446,1),(500,1),(534,1)}
       474:{1,2,4,5,7}:{(442,1),(443,1),(444,1),(447,1),(500,1),(501,1),(506,1)}
       475:{1,3,4,7}:{(443,1),(445,1),(501,1),(502,1),(514,1)}
       476:{1,3,5}:{(444,1),(445,1),(503,1)}
       477:{2,3,4,6}:{(445,1),(451,1),(502,1),(503,1),(504,1),(513,1),(536,1),(544,1)}
       478:{1,4,6}:{(446,1),(447,1),(453,1)}
       479:{1,3,4,5,7}:{(447,1),(448,1),(450,1),(454,1),(495,1),(501,1),(505,1),(506,1)}
       480:{2,4,7}:{(448,1),(449,1),(451,1),(507,1)}
       481:{1,3,5,7}:{(449,1),(452,1),(497,1),(507,1),(508,1),(535,1),(542,1)}
       482:{2,4,5}:{(450,1),(451,1),(503,1),(509,1)}
       483:{1,4,6}:{(451,1),(452,1),(507,1),(509,1)}
       484:{1,2,5,6}:{(452,1),(459,1),(508,1),(510,1),(539,1),(551,1)}
       485:{3,4,6}:{(453,1),(454,1),(498,1)}
       486:{1,3,4,7}:{(455,1),(456,1),(458,1),(460,1),(507,1),(511,1),(514,1),(542,1)}
       487:{2,5,7}:{(456,1),(459,1),(499,1),(511,1)}
       488:{1,3,4,5}:{(457,1),(458,1),(462,1),(509,1),(512,1),(515,1),(543,1)}
       489:{2,4,6}:{(458,1),(459,1),(511,1),(512,1),(513,1)}
       490:{1,2,4,7}:{(460,1),(461,1),(463,1),(511,1),(514,1)}
       491:{1,2,4,5}:{(462,1),(463,1),(464,1),(512,1),(515,1),(516,1)}
       492:{1,3,6}:{(463,1),(513,1),(514,1),(515,1)}
       493:{1,2,3,5}:{(464,1),(465,1),(515,1),(516,1)}
       494:{1,4,5,6}:{(466,1),(467,1),(470,1),(478,1),(517,1)}
       495:{1,3,5,7}:{(467,1),(468,1),(471,1),(517,1),(518,1)}
       496:{2,4,6,7}:{(468,1),(469,1),(480,1),(518,1),(519,1),(526,1)}
       497:{1,3,6,7}:{(469,1),(481,1),(519,1),(520,1),(546,1)}
       498:{3,5,6}:{(470,1),(471,1),(485,1)}
       499:{2,6,7}:{(472,1),(487,1)}
       500:{1,2,4,6}:{(473,1),(474,1),(478,1),(521,1),(526,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(476,1),(521,1),(522,1)}
       502:{2,3,4,7}:{(475,1),(477,1),(480,1),(522,1),(523,1),(531,1)}
       503:{2,3,5}:{(476,1),(477,1),(482,1),(524,1)}
       504:{1,3,4,6}:{(477,1),(483,1),(523,1),(524,1),(525,1),(530,1),(546,1),(550,1)}
       505:{1,3,4,6}:{(478,1),(479,1),(485,1),(517,1),(521,1),(526,1)}
       506:{2,4,5,7}:{(479,1),(480,1),(482,1),(518,1),(522,1),(526,1),(527,1)}
       507:{1,4,7}:{(480,1),(481,1),(483,1)}
       508:{1,2,5,7}:{(481,1),(484,1),(487,1),(520,1),(528,1)}
       509:{1,4,5}:{(482,1),(483,1),(524,1)}
       510:{1,2,4,6}:{(483,1),(484,1),(489,1),(528,1),(529,1),(530,1)}
       511:{2,4,7}:{(486,1),(487,1),(489,1),(531,1)}
       512:{2,4,5}:{(488,1),(489,1),(532,1)}
       513:{2,3,6}:{(489,1),(492,1),(530,1),(531,1),(532,1)}
       514:{1,3,7}:{(490,1),(492,1),(531,1)}
       515:{1,3,5}:{(491,1),(492,1),(532,1),(533,1)}
       516:{1,2,4}:{(493,1),(533,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(498,1),(505,1),(534,1)}
       518:{2,5,7}:{(495,1),(496,1),(534,1),(535,1)}
       519:{1,4,6,7}:{(496,1),(497,1),(507,1),(535,1),(541,1)}
       520:{1,2,6,7}:{(497,1),(499,1),(508,1),(551,1)}
       521:{1,3,6}:{(500,1),(501,1),(536,1)}
       522:{2,3,5,7}:{(501,1),(502,1),(503,1),(506,1),(536,1),(537,1)}
       523:{1,3,4,7}:{(502,1),(504,1),(507,1),(537,1),(538,1),(542,1)}
       524:{1,3,5}:{(503,1),(504,1),(509,1),(539,1)}
       525:{1,2,4,6}:{(504,1),(538,1),(539,1),(540,1),(551,1),(552,1)}
       526:{2,4,6}:{(505,1),(506,1),(534,1),(536,1),(541,1)}
       527:{1,4,5,7}:{(506,1),(507,1),(509,1),(535,1),(537,1),(541,1)}
       528:{1,2,4,7}:{(507,1),(508,1),(510,1),(511,1),(542,1)}
       529:{1,2,4,5}:{(509,1),(510,1),(512,1),(539,1),(543,1),(552,1)}
       530:{1,3,6}:{(510,1),(513,1),(542,1),(543,1)}
       531:{2,3,7}:{(511,1),(513,1),(514,1),(542,1)}
       532:{2,3,5}:{(512,1),(513,1),(515,1),(543,1),(544,1)}
       533:{1,3,4}:{(515,1),(516,1),(544,1)}
       534:{2,5,6}:{(517,1),(518,1),(526,1),(545,1)}
       535:{1,5,7}:{(518,1),(519,1),(545,1)}
       536:{2,3,6}:{(521,1),(522,1),(526,1),(546,1)}
       537:{1,3,5,7}:{(522,1),(523,1),(524,1),(527,1),(546,1),(547,1)}
       538:{1,2,4,7}:{(523,1),(525,1),(547,1),(548,1)}
       539:{1,2,5}:{(524,1),(525,1)}
       540:{1,2,3,6}:{(525,1),(530,1),(548,1),(549,1)}
       541:{1,4,6}:{(526,1),(527,1),(545,1),(546,1)}
       542:{1,3,7}:{(528,1),(530,1),(531,1)}
       543:{1,3,5}:{(529,1),(530,1),(532,1),(550,1)}
       544:{2,3,4}:{(532,1),(533,1),(550,1)}
       545:{1,5,6}:{(534,1),(535,1),(541,1)}
       546:{1,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,2,3,7}:{(538,1),(540,1),(542,1)}
       549:{1,2,3,5}:{(539,1),(540,1),(543,1),(552,1)}
       550:{1,3,4}:{(543,1),(544,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1636 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1637 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(63,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(63,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(76,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(81,1),(89,1),(105,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(80,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(105,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(80,1),(104,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(62,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(61,1),(63,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(62,1),(63,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(63,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(64,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(61,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(63,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,4,6,7}:{(46,1),(47,1),(54,1),(76,1),(86,1)}
        62:{1,5,6}:{(46,1),(48,1),(76,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{2,4,5,6}:{(48,1),(50,1),(58,1),(77,1),(79,1),(80,1),(104,1)}
        65:{1,3,5,6,7}:{(49,1),(78,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(79,1),(81,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(104,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(76,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(80,1),(89,1)}
        76:{1,5,7}:{(61,1),(62,1),(63,1)}
        77:{1,4,5,6}:{(62,1),(64,1),(72,1),(91,1),(92,1)}
        78:{2,5,6,7}:{(63,1),(65,1),(90,1),(93,1)}
        79:{2,4,5,7}:{(63,1),(64,1),(66,1),(74,1),(91,1),(93,1),(94,1),(113,1)}
        80:{3,5,6}:{(64,1),(75,1),(94,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(92,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{1,4,5,7}:{(76,1),(77,1),(79,1),(86,1),(102,1),(103,1)}
        92:{1,3,5,6}:{(77,1),(80,1),(87,1),(103,1),(104,1)}
        93:{2,4,6,7}:{(78,1),(79,1),(81,1),(102,1),(105,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(105,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(103,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(104,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(93,1),(112,1)}
       103:{1,3,5,7}:{(91,1),(92,1),(94,1),(99,1),(112,1),(113,1)}
       104:{2,5,6}:{(92,1),(100,1),(113,1),(114,1)}
       105:{3,6,7}:{(93,1),(94,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(105,1),(120,1)}
       113:{2,5,7}:{(103,1),(104,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1638 :   0:{1,2,3,5}:{(1,1),(2,1),(9,1),(11,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(20,1),(130,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,7}:{(1,1),(10,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(37,1),(149,1),(171,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(11,1),(12,1),(24,1),(33,1)}
         7:{2,3,4}:{(3,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1),(20,1),(55,1),(56,1),(131,1),(164,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1),(20,1)}
        10:{1,2,4,7}:{(4,1),(5,1),(18,1),(21,1),(174,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{1,2,4,6}:{(6,1),(20,1),(22,1),(23,1),(40,1),(55,1)}
        13:{1,3,4,5}:{(9,1),(24,1),(25,1),(33,1),(72,1)}
        14:{1,2,3}:{(27,1)}
        15:{1,3,4}:{(7,1),(27,1),(29,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(74,1),(75,1),(109,1),(151,1)}
        17:{2,3,5}:{(7,1),(9,1),(24,1),(29,1),(32,1)}
        18:{1,3,4,7}:{(8,1),(10,1),(30,1),(34,1),(36,1),(78,1),(172,1)}
        19:{1,3,5}:{(8,1),(11,1),(31,1),(33,1)}
        20:{1,3,6}:{(9,1),(12,1),(32,1),(36,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(34,1),(37,1)}
        22:{1,2,5,6}:{(11,1),(12,1),(35,1),(37,1),(38,1),(60,1),(171,1)}
        23:{1,2,4,7}:{(12,1),(36,1),(38,1),(61,1),(78,1)}
        24:{2,4,5}:{(13,1),(17,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(20,1),(40,1),(41,1),(42,1),(55,1),(97,1)}
        26:{1,2,3,6}:{(14,1),(43,1),(44,1),(45,1),(133,1)}
        27:{1,2,4}:{(14,1),(15,1),(46,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(45,1),(47,1),(48,1),(49,1),(86,1),(93,1),(94,1),(133,1)}
        29:{1,3,5}:{(15,1),(17,1),(39,1),(46,1),(49,1)}
        30:{2,3,4,7}:{(16,1),(18,1),(47,1),(51,1),(53,1),(99,1),(165,1)}
        31:{2,3,5}:{(16,1),(19,1),(48,1),(50,1)}
        32:{2,3,6}:{(17,1),(20,1),(40,1),(49,1),(53,1)}
        33:{1,4,5}:{(19,1),(50,1),(55,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(51,1),(54,1),(56,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(22,1),(52,1),(55,1),(56,1),(57,1),(101,1),(158,1),(164,1)}
        36:{1,3,7}:{(20,1),(23,1),(53,1)}
        37:{1,2,6}:{(21,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(23,1),(57,1),(58,1),(83,1),(174,1)}
        39:{1,4,5}:{(24,1),(29,1),(59,1)}
        40:{2,4,6}:{(24,1),(25,1),(32,1),(59,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(25,1),(60,1),(62,1),(63,1),(105,1)}
        42:{1,3,4,7}:{(25,1),(36,1),(61,1),(63,1),(78,1),(120,1)}
        43:{1,2,3,5}:{(26,1),(64,1),(66,1),(110,1)}
        44:{1,2,3,7}:{(26,1),(65,1),(152,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(64,1),(65,1),(66,1),(67,1),(112,1)}
        46:{1,2,5}:{(27,1),(29,1),(67,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(65,1),(69,1),(71,1),(117,1),(152,1)}
        48:{1,3,5}:{(28,1),(31,1),(66,1),(68,1)}
        49:{1,3,6}:{(29,1),(32,1),(59,1),(67,1),(71,1)}
        50:{2,4,5}:{(31,1),(33,1),(68,1),(72,1),(74,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(34,1),(69,1),(73,1),(75,1)}
        52:{2,3,5,6}:{(31,1),(32,1),(35,1),(60,1),(70,1),(74,1),(75,1),(76,1),(105,1),(121,1),(144,1),(151,1)}
        53:{2,3,7}:{(32,1),(36,1),(61,1),(71,1)}
        54:{1,4,5,7}:{(33,1),(34,1),(73,1),(77,1),(78,1),(123,1)}
        55:{1,4,6}:{(33,1),(35,1),(74,1),(78,1)}
        56:{1,3,6}:{(34,1),(37,1),(75,1),(77,1)}
        57:{1,3,5,7}:{(35,1),(36,1),(38,1),(76,1),(78,1),(79,1),(123,1),(168,1),(172,1)}
        58:{1,2,6,7}:{(37,1),(38,1),(79,1),(107,1)}
        59:{1,4,6}:{(39,1),(40,1),(49,1),(80,1),(81,1)}
        60:{2,5,6}:{(40,1),(41,1),(80,1),(83,1)}
        61:{2,4,7}:{(40,1),(42,1),(53,1),(81,1),(83,1)}
        62:{1,4,5,6}:{(41,1),(55,1),(82,1),(84,1),(101,1),(158,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(85,1),(127,1)}
        64:{1,2,4}:{(43,1),(86,1)}
        65:{1,2,4,7}:{(44,1),(45,1),(47,1),(88,1),(90,1)}
        66:{1,2,5}:{(45,1),(48,1)}
        67:{1,2,6}:{(46,1),(49,1),(90,1)}
        68:{1,4,5}:{(48,1),(50,1),(93,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(88,1),(92,1),(94,1)}
        70:{1,3,5,6}:{(48,1),(49,1),(52,1),(80,1),(89,1),(93,1),(94,1),(95,1),(133,1),(139,1)}
        71:{1,3,7}:{(49,1),(53,1),(81,1),(90,1)}
        72:{3,4,5}:{(50,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(54,1),(92,1),(96,1),(98,1),(99,1),(143,1)}
        74:{2,4,6}:{(50,1),(52,1),(55,1),(93,1),(97,1),(99,1)}
        75:{2,3,6}:{(51,1),(56,1),(94,1),(98,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(57,1),(83,1),(95,1),(99,1),(100,1),(127,1),(143,1),(159,1),(165,1)}
        77:{1,4,6}:{(54,1),(56,1),(98,1),(101,1)}
        78:{1,4,7}:{(55,1),(57,1),(99,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(58,1),(100,1),(102,1),(173,1)}
        80:{1,5,6}:{(59,1),(60,1),(104,1)}
        81:{1,4,7}:{(59,1),(61,1),(71,1),(104,1)}
        82:{2,4,5,6}:{(60,1),(62,1),(74,1),(103,1),(105,1),(106,1),(121,1),(144,1),(156,1)}
        83:{2,5,7}:{(60,1),(61,1),(63,1),(104,1),(107,1)}
        84:{1,4,5,7}:{(62,1),(63,1),(78,1),(106,1),(108,1),(123,1),(168,1)}
        85:{1,3,6,7}:{(63,1),(107,1),(108,1),(147,1)}
        86:{1,3,4}:{(64,1),(109,1),(110,1)}
        87:{1,2,4,5}:{(64,1),(66,1),(68,1),(110,1),(111,1),(114,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(69,1),(112,1)}
        89:{1,2,5,6}:{(66,1),(67,1),(70,1),(111,1),(112,1),(113,1),(144,1)}
        90:{1,2,7}:{(67,1),(71,1)}
        91:{1,3,4,5}:{(68,1),(72,1),(110,1),(114,1),(115,1)}
        92:{1,4,5,7}:{(68,1),(69,1),(73,1),(116,1),(117,1),(155,1)}
        93:{1,4,6}:{(68,1),(70,1),(74,1),(117,1)}
        94:{1,3,6}:{(69,1),(75,1),(112,1),(116,1)}
        95:{1,3,5,7}:{(70,1),(71,1),(76,1),(104,1),(113,1),(117,1),(118,1),(152,1),(155,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(119,1),(120,1),(157,1)}
        97:{3,4,6}:{(72,1),(74,1),(105,1),(120,1)}
        98:{2,4,6}:{(73,1),(75,1),(77,1),(116,1),(119,1),(121,1)}
        99:{2,4,7}:{(74,1),(76,1),(78,1),(117,1),(120,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(79,1),(107,1),(118,1),(122,1),(147,1),(169,1)}
       101:{1,5,6}:{(77,1),(121,1),(123,1)}
       102:{1,4,6,7}:{(77,1),(78,1),(79,1),(122,1),(123,1)}
       103:{1,4,5,6}:{(80,1),(82,1),(93,1),(124,1),(125,1),(139,1)}
       104:{1,5,7}:{(80,1),(81,1),(83,1),(126,1)}
       105:{3,5,6}:{(82,1),(97,1),(127,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(125,1),(127,1),(128,1),(143,1),(159,1),(167,1)}
       107:{2,6,7}:{(83,1),(85,1),(126,1)}
       108:{1,4,6,7}:{(84,1),(85,1),(128,1),(129,1),(173,1)}
       109:{2,3,4}:{(86,1),(131,1),(132,1)}
       110:{1,3,5}:{(86,1),(87,1),(132,1),(133,1)}
       111:{1,2,4,6}:{(87,1),(89,1),(93,1),(133,1),(134,1),(137,1)}
       112:{1,2,6}:{(88,1),(94,1)}
       113:{1,2,5,7}:{(89,1),(90,1),(95,1),(134,1),(135,1),(159,1)}
       114:{2,4,5}:{(91,1),(132,1),(136,1),(137,1)}
       115:{1,3,4,6}:{(91,1),(93,1),(97,1),(124,1),(133,1),(137,1),(138,1)}
       116:{1,4,6}:{(92,1),(94,1),(98,1),(139,1)}
       117:{1,4,7}:{(93,1),(95,1),(99,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(100,1),(126,1),(135,1),(140,1)}
       119:{3,4,6}:{(96,1),(98,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(127,1)}
       121:{2,5,6}:{(98,1),(101,1),(139,1),(141,1),(143,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(140,1),(142,1),(143,1)}
       123:{1,5,7}:{(101,1),(102,1),(143,1)}
       124:{1,3,5,6}:{(103,1),(105,1),(115,1),(144,1),(145,1)}
       125:{1,4,5,7}:{(103,1),(104,1),(106,1),(117,1),(145,1),(146,1),(155,1)}
       126:{1,6,7}:{(104,1),(107,1)}
       127:{3,5,7}:{(105,1),(106,1),(120,1),(147,1)}
       128:{2,4,6,7}:{(106,1),(107,1),(108,1),(146,1),(147,1),(148,1),(169,1),(170,1)}
       129:{1,5,6,7}:{(108,1),(123,1),(148,1)}
       130:{1,2,3}:{(149,1)}
       131:{1,3,4}:{(109,1),(149,1),(150,1)}
       132:{2,3,5}:{(109,1),(110,1),(114,1),(150,1),(151,1)}
       133:{1,3,6}:{(110,1),(111,1),(151,1),(152,1)}
       134:{1,2,4,7}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       135:{1,2,6,7}:{(112,1),(113,1),(118,1),(169,1)}
       136:{1,4,5}:{(114,1),(150,1),(153,1)}
       137:{2,4,6}:{(114,1),(115,1),(144,1),(151,1),(153,1),(154,1)}
       138:{1,3,4,7}:{(115,1),(117,1),(120,1),(145,1),(152,1),(154,1)}
       139:{1,5,6}:{(116,1),(121,1),(155,1)}
       140:{1,4,6,7}:{(116,1),(117,1),(118,1),(122,1),(155,1)}
       141:{3,5,6}:{(119,1),(121,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(119,1),(120,1),(122,1),(147,1),(157,1),(170,1)}
       143:{2,5,7}:{(121,1),(122,1),(123,1),(155,1),(157,1)}
       144:{2,5,6}:{(124,1),(137,1),(158,1),(159,1)}
       145:{1,3,5,7}:{(124,1),(125,1),(127,1),(138,1),(159,1),(160,1)}
       146:{1,4,6,7}:{(125,1),(126,1),(128,1),(160,1),(161,1)}
       147:{3,6,7}:{(127,1),(128,1)}
       148:{2,5,6,7}:{(128,1),(129,1),(143,1),(161,1),(162,1)}
       149:{1,2,4}:{(130,1),(131,1),(163,1)}
       150:{1,3,5}:{(131,1),(132,1),(136,1),(163,1),(164,1)}
       151:{2,3,6}:{(132,1),(133,1),(137,1),(164,1),(165,1)}
       152:{1,3,7}:{(133,1),(134,1),(165,1)}
       153:{1,4,6}:{(136,1),(137,1),(158,1),(164,1),(166,1)}
       154:{2,4,7}:{(137,1),(138,1),(159,1),(165,1),(166,1)}
       155:{1,5,7}:{(139,1),(140,1),(143,1)}
       156:{4,5,6}:{(141,1),(167,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(167,1)}
       158:{1,5,6}:{(144,1),(153,1),(168,1)}
       159:{2,5,7}:{(144,1),(145,1),(154,1),(168,1),(169,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{1,5,6,7}:{(146,1),(148,1),(155,1)}
       162:{3,5,6,7}:{(147,1),(148,1),(157,1),(170,1)}
       163:{1,2,5}:{(149,1),(150,1),(171,1)}
       164:{1,3,6}:{(150,1),(151,1),(153,1),(171,1),(172,1)}
       165:{2,3,7}:{(151,1),(152,1),(154,1),(172,1)}
       166:{1,4,7}:{(153,1),(154,1),(168,1),(172,1)}
       167:{4,5,7}:{(156,1),(157,1),(170,1)}
       168:{1,5,7}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,6,7}:{(159,1),(160,1),(173,1)}
       170:{4,6,7}:{(162,1),(167,1)}
       171:{1,2,6}:{(163,1),(164,1),(174,1)}
       172:{1,3,7}:{(164,1),(165,1),(166,1),(174,1)}
       173:{1,6,7}:{(168,1),(169,1)}
       174:{1,2,7}:{(171,1),(172,1)}

1639 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1640 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(16,1),(23,1),(44,1),(50,1),(55,1),(56,1),(95,1),(105,1),(169,1),(171,1),(173,1),(215,1),(230,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(14,1),(23,1),(90,1),(150,1),(215,1)}
         2:{1,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(33,1),(76,1),(137,1),(201,1),(204,1),(243,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(32,1),(37,1),(70,1),(74,1),(127,1),(195,1),(200,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(200,1),(243,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(12,1),(28,1),(121,1),(183,1),(210,1)}
         6:{1,3,4,6,7}:{(4,1),(14,1),(15,1),(17,1),(23,1),(48,1),(62,1),(103,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(23,1),(62,1),(230,1),(232,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(55,1),(95,1),(106,1),(172,1)}
         9:{1,3,6}:{(2,1),(3,1),(19,1),(103,1),(226,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(20,1),(47,1),(55,1),(100,1),(162,1),(171,1),(237,1)}
        11:{2,3,6,7}:{(4,1),(14,1),(19,1),(21,1),(22,1),(103,1),(150,1),(168,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1),(169,1),(180,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(29,1),(33,1),(64,1),(67,1),(76,1),(130,1),(141,1),(142,1),(184,1),(185,1),(197,1),(204,1),(243,1),(246,1),(285,1)}
        14:{2,4,6,7}:{(6,1),(11,1),(27,1),(28,1),(32,1),(40,1),(74,1)}
        15:{1,3,5,7}:{(6,1),(26,1),(28,1),(29,1),(33,1),(76,1)}
        16:{2,4,7}:{(7,1),(8,1),(31,1),(32,1),(203,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(37,1),(86,1)}
        18:{1,3,5,7}:{(8,1),(31,1),(34,1),(35,1),(80,1),(82,1),(143,1)}
        19:{2,3,6}:{(8,1),(9,1),(32,1),(35,1),(127,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(12,1),(33,1),(36,1),(37,1),(200,1),(201,1),(208,1),(209,1)}
        21:{1,3,6,7}:{(11,1),(27,1),(35,1),(38,1),(39,1),(135,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(28,1),(36,1),(39,1),(40,1),(76,1),(136,1),(148,1),(183,1),(243,1)}
        23:{1,4,7}:{(12,1),(37,1),(40,1)}
        24:{2,4,5,7}:{(13,1),(16,1),(43,1),(44,1),(45,1),(55,1),(91,1),(95,1),(109,1),(152,1),(160,1),(173,1),(215,1),(224,1)}
        25:{1,3,4,6}:{(13,1),(45,1),(46,1),(48,1),(96,1),(103,1),(163,1),(164,1),(226,1),(269,1),(299,1)}
        26:{1,3,5,6}:{(15,1),(47,1),(48,1),(103,1)}
        27:{1,4,6,7}:{(14,1),(21,1),(49,1),(54,1),(61,1),(102,1)}
        28:{2,5,7}:{(14,1),(15,1),(47,1),(49,1),(55,1)}
        29:{1,4,5,7}:{(15,1),(23,1),(48,1),(50,1),(56,1),(169,1)}
        30:{2,3,4,7}:{(16,1),(43,1),(51,1),(52,1),(62,1),(106,1),(117,1),(152,1),(160,1),(232,1),(266,1),(267,1),(297,1)}
        31:{1,4,7}:{(16,1),(18,1),(54,1),(175,1)}
        32:{2,4,6}:{(16,1),(17,1),(19,1),(54,1),(55,1)}
        33:{1,3,5}:{(17,1),(55,1),(56,1),(113,1)}
        34:{1,2,5,7}:{(18,1),(53,1),(57,1),(95,1),(111,1),(313,1)}
        35:{1,3,6}:{(18,1),(19,1),(54,1),(57,1)}
        36:{2,3,5,6}:{(19,1),(20,1),(22,1),(47,1),(55,1),(58,1),(59,1),(103,1),(113,1),(162,1),(168,1),(172,1),(177,1),(178,1),(226,1)}
        37:{1,4,6}:{(20,1),(23,1),(56,1),(59,1),(230,1)}
        38:{1,2,6,7}:{(21,1),(57,1),(60,1),(150,1),(168,1),(220,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(49,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(59,1),(61,1),(62,1)}
        41:{1,3,4,6,7}:{(25,1),(63,1),(64,1),(66,1),(118,1),(124,1),(184,1),(185,1),(243,1)}
        42:{1,3,5,6,7}:{(26,1),(64,1),(65,1),(66,1),(124,1),(245,1)}
        43:{2,3,5,7}:{(24,1),(30,1),(67,1),(68,1),(76,1),(79,1),(136,1),(204,1),(243,1),(285,1),(307,1)}
        44:{1,4,5,7}:{(24,1),(31,1),(67,1),(70,1),(82,1),(121,1),(141,1),(184,1),(190,1),(248,1)}
        45:{2,4,6}:{(24,1),(25,1),(68,1),(70,1),(71,1),(127,1)}
        46:{1,3,5,6}:{(25,1),(33,1),(64,1),(71,1),(72,1),(134,1),(197,1)}
        47:{2,5,6}:{(26,1),(28,1),(73,1),(74,1)}
        48:{1,4,6}:{(26,1),(29,1),(74,1),(200,1)}
        49:{1,5,7}:{(27,1),(28,1),(73,1),(82,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(40,1),(74,1),(75,1),(76,1),(83,1),(136,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(67,1),(77,1),(78,1),(80,1),(137,1),(149,1),(184,1),(190,1),(243,1),(286,1),(308,1)}
        52:{2,3,4,6}:{(30,1),(32,1),(68,1),(78,1),(79,1),(86,1),(129,1),(139,1),(147,1),(193,1),(203,1),(252,1),(253,1),(257,1),(288,1)}
        53:{1,2,4,7}:{(31,1),(34,1),(77,1),(80,1),(81,1),(308,1),(309,1)}
        54:{1,4,6}:{(31,1),(32,1),(35,1),(82,1)}
        55:{2,5}:{(32,1),(33,1),(82,1)}
        56:{1,4,5}:{(33,1),(37,1),(83,1),(208,1)}
        57:{1,2,6}:{(34,1),(35,1),(127,1),(314,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(39,1),(73,1),(82,1),(84,1),(85,1),(135,1),(143,1),(145,1),(146,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(83,1),(85,1),(86,1),(203,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(84,1),(87,1),(136,1),(183,1),(247,1)}
        61:{1,4,7}:{(39,1),(40,1),(85,1)}
        62:{3,4,7}:{(40,1),(76,1),(86,1),(243,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(90,1),(91,1),(150,1),(152,1),(215,1)}
        64:{1,3,5,7}:{(41,1),(46,1),(91,1),(92,1),(156,1)}
        65:{2,5,6,7}:{(42,1),(47,1),(91,1),(93,1),(94,1),(264,1)}
        66:{1,4,6,7}:{(42,1),(48,1),(92,1),(94,1),(220,1),(269,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(51,1),(95,1),(96,1),(108,1),(169,1),(313,1)}
        68:{2,3,6}:{(43,1),(45,1),(96,1),(103,1),(168,1),(226,1),(299,1),(312,1)}
        69:{1,2,4,5,7}:{(44,1),(53,1),(95,1),(98,1),(99,1),(111,1),(154,1),(160,1),(173,1),(175,1),(215,1),(218,1),(224,1),(228,1),(265,1),(313,1)}
        70:{1,4,6}:{(44,1),(45,1),(96,1),(100,1)}
        71:{2,5,6}:{(45,1),(46,1),(55,1),(91,1),(100,1),(224,1)}
        72:{1,4,5,6}:{(46,1),(48,1),(56,1),(92,1),(101,1),(163,1),(228,1),(229,1),(269,1)}
        73:{1,5,6}:{(47,1),(49,1),(102,1)}
        74:{2,4,6}:{(47,1),(48,1),(50,1),(102,1),(103,1),(168,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(61,1),(102,1),(104,1),(112,1)}
        76:{3,5,7}:{(50,1),(62,1),(103,1),(113,1)}
        77:{2,4,7}:{(51,1),(95,1),(106,1),(107,1),(300,1)}
        78:{1,3,4,6}:{(51,1),(52,1),(54,1),(96,1),(107,1),(108,1),(110,1),(163,1),(170,1),(175,1),(179,1),(221,1),(226,1),(230,1),(232,1),(274,1),(277,1),(302,1)}
        79:{2,3,5}:{(52,1),(55,1),(108,1),(109,1),(113,1),(177,1),(224,1),(273,1),(301,1)}
        80:{1,3,7}:{(53,1),(106,1),(110,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(57,1),(107,1),(110,1),(111,1),(175,1),(302,1),(303,1),(304,1)}
        82:{1,5}:{(54,1),(55,1)}
        83:{2,4,5}:{(55,1),(56,1),(59,1),(112,1),(113,1),(177,1)}
        84:{1,2,5,6}:{(57,1),(58,1),(60,1),(111,1),(114,1),(162,1),(168,1),(177,1),(229,1)}
        85:{1,4,6}:{(58,1),(59,1),(61,1),(112,1),(175,1)}
        86:{3,4,6}:{(59,1),(62,1),(103,1),(113,1),(226,1),(232,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(114,1),(116,1),(117,1),(215,1),(268,1),(300,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(104,1),(115,1),(116,1),(117,1)}
        89:{2,3,6,7}:{(63,1),(68,1),(118,1),(119,1),(124,1),(189,1),(243,1)}
        90:{1,4,6,7}:{(63,1),(70,1),(118,1),(121,1),(184,1)}
        91:{2,5,7}:{(63,1),(64,1),(71,1),(121,1)}
        92:{1,4,5,7}:{(64,1),(66,1),(72,1),(122,1),(184,1),(247,1)}
        93:{1,5,6,7}:{(65,1),(73,1),(121,1),(123,1),(280,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(74,1),(122,1),(123,1),(124,1),(189,1),(284,1)}
        95:{2,5,7}:{(67,1),(77,1),(127,1),(140,1)}
        96:{1,3,6}:{(67,1),(68,1),(70,1),(127,1),(200,1),(314,1)}
        97:{2,3,5,6}:{(68,1),(71,1),(79,1),(119,1),(128,1),(129,1),(134,1),(199,1),(253,1)}
        98:{1,3,5,7}:{(69,1),(80,1),(126,1),(130,1),(131,1),(143,1),(197,1),(204,1),(243,1),(285,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(127,1),(131,1),(132,1),(193,1),(195,1),(198,1),(284,1),(314,1)}
       100:{1,5,6}:{(70,1),(71,1),(82,1),(121,1),(248,1)}
       101:{2,4,5,6}:{(71,1),(72,1),(74,1),(83,1),(122,1),(129,1),(133,1),(134,1),(195,1),(199,1),(251,1),(284,1)}
       102:{1,4,6}:{(73,1),(74,1),(75,1),(135,1)}
       103:{3,6}:{(74,1),(76,1)}
       104:{1,3,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(145,1)}
       105:{1,2,4,7}:{(77,1),(125,1),(137,1),(138,1),(149,1),(190,1),(210,1)}
       106:{2,3,7}:{(77,1),(80,1),(137,1),(139,1),(243,1)}
       107:{2,4,6}:{(77,1),(78,1),(127,1),(139,1),(140,1),(203,1),(290,1),(293,1)}
       108:{1,3,5}:{(78,1),(79,1),(82,1),(140,1),(141,1),(204,1),(208,1),(248,1),(310,1)}
       109:{2,4,5}:{(79,1),(129,1),(141,1),(142,1),(203,1)}
       110:{1,3,6}:{(80,1),(81,1),(139,1),(143,1),(311,1)}
       111:{1,2,5}:{(81,1),(82,1),(140,1),(143,1),(310,1)}
       112:{1,4,5}:{(82,1),(83,1),(85,1),(145,1)}
       113:{3,5}:{(83,1),(86,1)}
       114:{1,2,4,6}:{(84,1),(85,1),(87,1),(144,1),(146,1),(147,1),(195,1),(254,1),(290,1)}
       115:{1,3,4,6}:{(85,1),(86,1),(88,1),(135,1),(145,1),(146,1),(147,1),(206,1)}
       116:{1,3,7}:{(87,1),(146,1),(148,1),(243,1)}
       117:{2,4,7}:{(88,1),(136,1),(147,1),(148,1),(149,1)}
       118:{1,3,6,7}:{(89,1),(90,1),(96,1),(150,1),(151,1),(220,1)}
       119:{2,3,5,7}:{(89,1),(91,1),(97,1),(151,1),(152,1),(156,1),(219,1),(267,1)}
       120:{1,2,4,6,7}:{(90,1),(99,1),(150,1),(153,1),(154,1),(213,1),(215,1),(218,1)}
       121:{1,5,7}:{(90,1),(91,1),(100,1)}
       122:{2,4,5,7}:{(91,1),(92,1),(94,1),(101,1),(152,1),(155,1),(156,1),(215,1),(219,1)}
       123:{1,4,6,7}:{(93,1),(94,1),(102,1),(155,1),(157,1),(295,1)}
       124:{3,6,7}:{(94,1),(103,1),(156,1),(299,1)}
       125:{1,2,5,7}:{(95,1),(105,1),(158,1),(159,1),(169,1),(171,1)}
       126:{2,3,5,7}:{(95,1),(98,1),(106,1),(158,1),(160,1),(161,1),(172,1),(224,1)}
       127:{2,6}:{(95,1),(96,1)}
       128:{1,3,5,6}:{(96,1),(97,1),(100,1),(108,1),(151,1),(162,1),(163,1),(226,1),(229,1),(274,1)}
       129:{2,4,6}:{(97,1),(109,1),(152,1),(163,1),(164,1)}
       130:{1,3,4,7}:{(98,1),(160,1),(165,1),(175,1),(218,1),(232,1),(266,1)}
       131:{1,3,6}:{(98,1),(99,1),(161,1),(226,1),(299,1)}
       132:{1,2,5,6}:{(99,1),(100,1),(111,1),(154,1),(162,1),(166,1),(224,1),(264,1),(303,1)}
       133:{1,4,5,6}:{(100,1),(101,1),(102,1),(112,1),(155,1),(163,1),(167,1),(270,1),(295,1)}
       134:{3,5,6}:{(101,1),(103,1),(113,1),(156,1),(164,1),(226,1),(273,1),(299,1)}
       135:{1,3,6}:{(102,1),(103,1),(104,1),(168,1)}
       136:{2,5,7}:{(104,1),(117,1),(168,1),(169,1),(177,1)}
       137:{1,3,7}:{(105,1),(106,1),(170,1)}
       138:{1,2,4,6}:{(105,1),(107,1),(159,1),(170,1),(171,1),(179,1),(221,1),(230,1),(237,1),(279,1)}
       139:{2,3,6}:{(106,1),(107,1),(110,1),(170,1),(172,1),(226,1),(305,1)}
       140:{2,5}:{(107,1),(108,1)}
       141:{1,4,5}:{(108,1),(109,1),(163,1),(173,1),(175,1),(230,1)}
       142:{3,4,5}:{(109,1),(113,1),(164,1),(232,1),(273,1)}
       143:{1,3,5}:{(110,1),(111,1),(172,1),(175,1)}
       144:{1,2,4,5}:{(111,1),(112,1),(114,1),(173,1),(175,1),(176,1),(177,1),(234,1),(235,1),(278,1),(304,1)}
       145:{1,3,5}:{(112,1),(113,1),(115,1),(177,1)}
       146:{1,3,6}:{(114,1),(116,1),(176,1),(178,1),(226,1)}
       147:{2,4,6}:{(115,1),(117,1),(168,1),(177,1),(178,1),(179,1),(235,1)}
       148:{2,3,7}:{(116,1),(117,1),(178,1),(180,1),(300,1)}
       149:{1,4,7}:{(117,1),(169,1),(179,1),(180,1)}
       150:{2,6,7}:{(118,1),(127,1),(183,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(121,1),(128,1),(183,1),(184,1),(243,1),(247,1),(286,1)}
       152:{2,4,7}:{(119,1),(129,1),(184,1),(185,1)}
       153:{1,3,6,7}:{(120,1),(131,1),(182,1),(187,1),(243,1),(314,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(132,1),(183,1),(187,1),(241,1),(309,1)}
       155:{1,4,5,7}:{(121,1),(122,1),(123,1),(133,1),(184,1),(188,1)}
       156:{3,5,7}:{(122,1),(124,1),(134,1),(185,1),(243,1)}
       157:{1,3,6,7}:{(123,1),(124,1),(135,1),(188,1),(189,1),(306,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(137,1),(190,1),(191,1),(201,1),(248,1)}
       159:{1,2,6}:{(125,1),(127,1),(191,1),(200,1)}
       160:{2,4,7}:{(126,1),(130,1),(190,1),(193,1),(203,1)}
       161:{2,3,6}:{(126,1),(127,1),(131,1),(191,1),(193,1)}
       162:{2,5,6}:{(127,1),(128,1),(140,1),(183,1),(195,1),(290,1)}
       163:{1,4,6}:{(128,1),(129,1),(141,1),(184,1),(195,1)}
       164:{3,4,6}:{(129,1),(134,1),(142,1),(185,1)}
       165:{1,3,4,6}:{(130,1),(131,1),(193,1),(197,1),(198,1),(252,1)}
       166:{1,3,5,6}:{(131,1),(132,1),(143,1),(187,1),(194,1),(197,1),(198,1),(289,1),(310,1),(314,1)}
       167:{1,3,5,6}:{(133,1),(134,1),(135,1),(145,1),(188,1),(196,1),(199,1),(287,1),(306,1)}
       168:{2,6}:{(135,1),(136,1),(200,1)}
       169:{1,5,7}:{(136,1),(149,1),(200,1),(208,1)}
       170:{1,3,6}:{(137,1),(138,1),(139,1),(201,1),(294,1)}
       171:{1,2,5}:{(138,1),(140,1),(201,1),(208,1),(248,1)}
       172:{2,3,5}:{(139,1),(140,1),(143,1),(201,1),(203,1),(204,1)}
       173:{2,4,5}:{(140,1),(141,1),(195,1),(203,1),(204,1)}
       174:{1,3,4,5}:{(141,1),(142,1),(145,1),(196,1),(204,1),(205,1),(206,1),(255,1),(258,1),(287,1)}
       175:{1,4}:{(143,1),(203,1)}
       176:{1,3,5}:{(144,1),(146,1),(204,1),(206,1),(207,1),(311,1)}
       177:{2,5}:{(145,1),(147,1),(208,1)}
       178:{2,3,6}:{(146,1),(147,1),(148,1),(207,1),(209,1),(290,1)}
       179:{1,4,6}:{(147,1),(149,1),(200,1),(208,1),(209,1),(259,1)}
       180:{1,3,7}:{(148,1),(149,1),(209,1),(210,1)}
       181:{1,2,6,7}:{(150,1),(159,1),(211,1),(212,1),(220,1),(312,1)}
       182:{2,3,6,7}:{(150,1),(153,1),(161,1),(211,1),(213,1),(214,1),(299,1),(312,1)}
       183:{2,5,7}:{(150,1),(151,1),(162,1),(215,1),(300,1)}
       184:{1,4,7}:{(151,1),(152,1),(163,1),(215,1)}
       185:{3,4,7}:{(152,1),(156,1),(164,1)}
       186:{1,3,4,6,7}:{(153,1),(165,1),(213,1),(217,1),(218,1),(266,1),(269,1),(299,1)}
       187:{1,3,5,7}:{(153,1),(154,1),(166,1),(214,1),(218,1),(298,1),(313,1)}
       188:{1,3,5,7}:{(155,1),(156,1),(157,1),(167,1),(216,1),(219,1)}
       189:{2,6,7}:{(157,1),(168,1),(219,1),(220,1),(312,1)}
       190:{1,4,7}:{(158,1),(160,1),(221,1),(230,1)}
       191:{1,3,6}:{(158,1),(159,1),(161,1),(221,1)}
       192:{1,2,5,6}:{(159,1),(162,1),(171,1),(212,1),(222,1),(223,1),(229,1),(301,1),(312,1)}
       193:{2,4,6}:{(160,1),(161,1),(165,1),(221,1),(224,1)}
       194:{2,3,5,6}:{(161,1),(162,1),(166,1),(172,1),(214,1),(222,1),(224,1),(225,1),(226,1),(264,1),(272,1),(273,1),(299,1),(301,1),(312,1)}
       195:{2,4,6}:{(162,1),(163,1),(173,1),(215,1),(226,1)}
       196:{1,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(216,1),(226,1),(227,1),(274,1)}
       197:{1,3,5}:{(165,1),(224,1),(228,1),(273,1)}
       198:{1,4,6}:{(166,1),(175,1),(218,1),(225,1),(228,1)}
       199:{2,5,6}:{(167,1),(168,1),(177,1),(219,1),(227,1),(229,1),(301,1),(312,1)}
       200:{1,6}:{(168,1),(169,1)}
       201:{1,3,5}:{(170,1),(171,1),(172,1),(230,1)}
       202:{1,2,4,5}:{(171,1),(173,1),(223,1),(230,1),(231,1),(234,1),(270,1),(275,1),(278,1),(279,1),(301,1)}
       203:{2,4}:{(172,1),(175,1),(230,1),(232,1)}
       204:{3,5}:{(173,1),(226,1),(232,1)}
       205:{2,4,5}:{(174,1),(177,1),(227,1),(233,1),(234,1),(235,1),(275,1),(278,1),(301,1)}
       206:{1,3,4}:{(175,1),(176,1),(232,1),(235,1)}
       207:{2,3,5}:{(176,1),(177,1),(178,1),(235,1),(236,1),(278,1),(305,1)}
       208:{1,5}:{(177,1),(179,1)}
       209:{1,3,6}:{(178,1),(179,1),(180,1),(236,1),(237,1)}
       210:{1,2,7}:{(180,1),(237,1),(300,1)}
       211:{1,3,6,7}:{(181,1),(182,1),(191,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(183,1),(192,1),(239,1),(240,1),(247,1),(307,1)}
       213:{2,4,6,7}:{(182,1),(186,1),(193,1),(238,1),(241,1),(242,1),(284,1)}
       214:{2,3,5,7}:{(182,1),(183,1),(187,1),(194,1),(239,1),(241,1),(242,1),(243,1),(283,1),(285,1),(307,1)}
       215:{2,4,7}:{(183,1),(184,1),(195,1),(243,1)}
       216:{1,3,4,7}:{(184,1),(185,1),(188,1),(196,1),(243,1),(244,1),(286,1)}
       217:{1,3,5,7}:{(186,1),(197,1),(241,1),(245,1),(246,1),(285,1)}
       218:{1,4,7}:{(187,1),(198,1),(242,1)}
       219:{2,5,7}:{(188,1),(189,1),(199,1),(244,1),(247,1)}
       220:{1,6,7}:{(189,1),(200,1),(247,1),(314,1)}
       221:{1,4,6}:{(190,1),(191,1),(193,1),(248,1)}
       222:{1,3,5,6}:{(191,1),(192,1),(194,1),(201,1),(239,1),(248,1),(249,1),(250,1),(280,1),(287,1),(306,1)}
       223:{1,2,4,6}:{(192,1),(195,1),(202,1),(240,1),(249,1),(250,1),(254,1),(288,1),(290,1)}
       224:{2,5}:{(193,1),(197,1),(248,1)}
       225:{2,4,6}:{(194,1),(198,1),(203,1),(242,1),(249,1),(251,1),(252,1)}
       226:{3,6}:{(195,1),(204,1),(243,1)}
       227:{2,4,6}:{(196,1),(199,1),(205,1),(244,1),(253,1),(254,1),(290,1)}
       228:{1,4,5}:{(197,1),(198,1),(251,1),(310,1)}
       229:{1,5,6}:{(199,1),(200,1),(208,1),(247,1),(254,1),(310,1),(314,1)}
       230:{1,4}:{(201,1),(203,1)}
       231:{1,3,5}:{(202,1),(204,1),(250,1),(255,1),(256,1),(294,1)}
       232:{3,4}:{(203,1),(204,1)}
       233:{2,3,5}:{(204,1),(205,1),(253,1),(257,1),(258,1)}
       234:{1,4,5}:{(205,1),(208,1),(254,1),(258,1),(259,1),(291,1),(310,1)}
       235:{2,4}:{(206,1),(207,1),(259,1)}
       236:{1,3,5}:{(207,1),(208,1),(209,1),(259,1),(260,1),(294,1)}
       237:{1,2,6}:{(209,1),(210,1),(260,1),(290,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(221,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(222,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(223,1),(262,1),(263,1),(268,1),(297,1),(300,1)}
       241:{2,5,7}:{(213,1),(217,1),(224,1),(261,1),(264,1)}
       242:{2,4,7}:{(214,1),(218,1),(225,1),(262,1),(266,1)}
       243:{3,7}:{(215,1),(226,1)}
       244:{2,4,7}:{(216,1),(219,1),(227,1),(267,1),(268,1),(300,1)}
       245:{1,3,5,6}:{(217,1),(264,1),(269,1),(299,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(228,1),(265,1),(269,1),(313,1)}
       247:{1,5,7}:{(219,1),(220,1),(229,1),(268,1)}
       248:{1,5}:{(221,1),(224,1)}
       249:{1,4,6}:{(222,1),(225,1),(230,1),(262,1),(270,1)}
       250:{1,3,6}:{(223,1),(226,1),(231,1),(263,1),(272,1)}
       251:{2,4,5}:{(224,1),(225,1),(228,1),(270,1),(273,1),(301,1)}
       252:{3,4,6}:{(225,1),(226,1),(232,1),(266,1),(273,1),(299,1)}
       253:{2,3,6}:{(226,1),(227,1),(233,1),(267,1),(274,1)}
       254:{1,4,6}:{(227,1),(229,1),(234,1),(268,1),(274,1)}
       255:{1,3,4}:{(230,1),(231,1),(232,1),(275,1)}
       256:{2,3,5}:{(231,1),(272,1),(275,1),(276,1),(278,1),(301,1),(305,1)}
       257:{2,3,4}:{(232,1),(233,1),(235,1),(275,1),(277,1),(305,1)}
       258:{1,3,5}:{(233,1),(234,1),(274,1),(277,1),(278,1)}
       259:{1,4}:{(235,1),(236,1)}
       260:{1,2,5}:{(236,1),(237,1),(278,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(248,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(249,1)}
       263:{1,3,7}:{(240,1),(243,1),(250,1),(283,1)}
       264:{2,5,6}:{(241,1),(245,1),(280,1),(284,1)}
       265:{2,4,5,7}:{(241,1),(242,1),(246,1),(251,1),(281,1),(284,1),(285,1),(307,1)}
       266:{3,4,7}:{(242,1),(243,1),(252,1),(285,1)}
       267:{2,3,7}:{(243,1),(244,1),(253,1),(286,1)}
       268:{1,4,7}:{(244,1),(247,1),(254,1),(286,1)}
       269:{1,4,6}:{(245,1),(246,1),(284,1),(314,1)}
       270:{1,4,5}:{(248,1),(249,1),(251,1),(287,1)}
       271:{1,3,4,6}:{(249,1),(250,1),(252,1),(255,1),(282,1),(287,1),(288,1),(306,1)}
       272:{2,3,6}:{(250,1),(256,1),(283,1),(288,1),(289,1),(290,1)}
       273:{3,5}:{(251,1),(252,1)}
       274:{1,3,6}:{(253,1),(254,1),(258,1),(286,1),(290,1)}
       275:{2,4}:{(255,1),(256,1),(291,1)}
       276:{1,3,5}:{(256,1),(289,1),(291,1),(292,1),(310,1),(311,1)}
       277:{1,3,4}:{(257,1),(258,1),(259,1),(291,1),(293,1),(294,1),(311,1)}
       278:{2,5}:{(258,1),(290,1),(293,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(264,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(265,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(266,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(272,1),(297,1),(298,1),(300,1)}
       284:{2,4,6}:{(264,1),(265,1),(269,1),(295,1),(299,1),(312,1)}
       285:{3,5,7}:{(265,1),(266,1),(273,1),(299,1)}
       286:{1,3,7}:{(267,1),(268,1),(274,1),(300,1)}
       287:{1,3,5}:{(270,1),(271,1),(273,1),(301,1)}
       288:{2,4,6}:{(271,1),(272,1),(275,1),(297,1),(301,1),(302,1),(312,1)}
       289:{1,3,6}:{(272,1),(276,1),(298,1),(302,1),(303,1)}
       290:{2,6}:{(274,1),(278,1),(300,1)}
       291:{1,4}:{(275,1),(276,1)}
       292:{1,2,5}:{(276,1),(278,1),(303,1),(304,1)}
       293:{2,4}:{(277,1),(278,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(284,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(285,1),(287,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(288,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(289,1),(308,1),(309,1)}
       299:{3,6}:{(284,1),(285,1)}
       300:{2,7}:{(286,1),(290,1)}
       301:{2,5}:{(287,1),(288,1),(310,1)}
       302:{1,4,6}:{(288,1),(289,1),(291,1),(308,1),(310,1),(314,1)}
       303:{1,2,6}:{(289,1),(290,1),(292,1),(309,1)}
       304:{1,2,4}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(299,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(301,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(302,1),(313,1)}
       309:{1,2,7}:{(298,1),(300,1),(303,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,3}:{(304,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1641 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(146,1),(196,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(6,1),(29,1),(156,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(22,1),(105,1),(175,1),(222,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(94,1),(126,1),(183,1),(196,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(46,1),(81,1),(126,1),(196,1)}
         5:{1,3,4,6,7}:{(1,1),(11,1),(13,1),(15,1),(39,1),(41,1),(44,1),(81,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(78,1),(127,1)}
         7:{1,2,5,6}:{(2,1),(14,1),(16,1),(36,1),(91,1),(134,1),(147,1),(190,1),(198,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(37,1),(43,1),(45,1),(90,1),(91,1),(127,1),(131,1),(140,1),(190,1),(201,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(18,1),(19,1),(68,1),(97,1)}
        10:{1,2,5,7}:{(3,1),(19,1),(20,1),(21,1),(98,1),(209,1),(222,1)}
        11:{2,4,6,7}:{(4,1),(5,1),(18,1),(22,1),(24,1),(56,1),(66,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1),(24,1),(54,1),(57,1),(98,1),(222,1),(268,1)}
        13:{1,3,5,7}:{(5,1),(22,1),(25,1),(26,1),(57,1),(65,1)}
        14:{1,3,5,6}:{(6,1),(7,1),(23,1),(27,1),(29,1),(65,1),(104,1),(156,1),(159,1),(218,1)}
        15:{1,4,7}:{(6,1),(24,1),(27,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1),(56,1),(66,1),(118,1),(156,1),(170,1),(224,1)}
        17:{1,3,5,7}:{(8,1),(28,1),(29,1),(30,1),(57,1),(65,1),(161,1),(218,1),(227,1),(268,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(31,1),(33,1),(71,1),(92,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(32,1),(33,1),(35,1)}
        20:{1,2,5,6}:{(10,1),(32,1),(34,1),(94,1),(126,1),(129,1),(150,1),(185,1),(198,1)}
        21:{1,2,4,7}:{(10,1),(33,1),(34,1),(35,1),(75,1),(234,1),(246,1),(275,1)}
        22:{2,5,7}:{(11,1),(13,1),(31,1),(36,1),(91,1)}
        23:{2,3,5,6}:{(12,1),(14,1),(32,1),(36,1),(38,1),(46,1),(77,1),(81,1),(83,1),(91,1),(126,1),(129,1),(198,1),(202,1),(249,1)}
        24:{2,4,7}:{(12,1),(15,1),(33,1),(38,1),(39,1)}
        25:{1,3,5,6}:{(13,1),(36,1),(41,1),(81,1)}
        26:{1,4,5,7}:{(13,1),(15,1),(37,1),(41,1),(43,1),(127,1)}
        27:{1,4,6}:{(14,1),(15,1),(38,1),(43,1),(243,1)}
        28:{1,3,4,7}:{(15,1),(17,1),(39,1),(44,1),(45,1),(243,1),(252,1)}
        29:{1,3,6}:{(16,1),(17,1),(46,1),(81,1),(249,1)}
        30:{2,3,5,7}:{(17,1),(45,1),(46,1),(47,1),(91,1),(140,1),(144,1),(202,1)}
        31:{1,5,7}:{(18,1),(22,1),(48,1),(120,1)}
        32:{1,3,5,6}:{(19,1),(20,1),(23,1),(48,1),(50,1),(53,1),(68,1),(97,1),(99,1),(120,1),(180,1)}
        33:{1,4,7}:{(19,1),(24,1),(50,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(50,1),(52,1),(53,1),(100,1),(212,1),(224,1),(260,1)}
        35:{1,3,7}:{(21,1),(53,1),(54,1),(268,1)}
        36:{2,5,6}:{(22,1),(25,1),(48,1),(56,1)}
        37:{2,4,5,7}:{(22,1),(24,1),(26,1),(49,1),(56,1),(57,1),(58,1),(98,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(50,1),(58,1),(59,1),(228,1)}
        39:{3,4,7}:{(24,1),(57,1),(59,1),(268,1)}
        40:{1,3,5,6,7}:{(25,1),(55,1),(61,1),(107,1),(115,1),(274,1)}
        41:{1,4,6}:{(25,1),(26,1),(56,1),(156,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(64,1),(65,1),(110,1),(111,1),(115,1),(165,1),(172,1),(179,1),(221,1),(227,1),(232,1),(268,1),(273,1),(299,1)}
        43:{1,4,5}:{(27,1),(58,1),(65,1),(159,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(29,1),(59,1),(65,1),(66,1)}
        45:{2,4,7}:{(28,1),(30,1),(66,1),(67,1),(228,1)}
        46:{2,3,6}:{(29,1),(30,1),(66,1),(68,1),(170,1)}
        47:{1,3,5,7}:{(30,1),(67,1),(68,1),(69,1),(120,1),(122,1),(180,1)}
        48:{1,5,6}:{(31,1),(36,1),(71,1)}
        49:{1,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(73,1)}
        50:{1,4,6}:{(32,1),(33,1),(38,1),(73,1),(207,1)}
        51:{1,3,4,7}:{(33,1),(35,1),(39,1),(72,1),(74,1),(75,1)}
        52:{1,2,4,5}:{(34,1),(73,1),(76,1),(129,1),(132,1),(150,1),(189,1),(201,1),(207,1),(241,1),(244,1)}
        53:{1,3,6}:{(34,1),(35,1),(76,1),(77,1),(249,1)}
        54:{2,3,7}:{(35,1),(75,1),(77,1),(78,1),(275,1)}
        55:{2,5,6,7}:{(36,1),(40,1),(70,1),(79,1),(145,1),(287,1)}
        56:{2,4,6}:{(36,1),(37,1),(41,1),(71,1),(81,1),(126,1)}
        57:{3,5,7}:{(37,1),(39,1),(81,1),(83,1)}
        58:{2,4,5}:{(38,1),(43,1),(73,1),(83,1),(91,1),(129,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(249,1),(252,1)}
        60:{2,3,4,7}:{(39,1),(45,1),(75,1),(82,1),(84,1),(85,1),(144,1),(194,1),(200,1),(233,1),(252,1),(285,1),(302,1)}
        61:{1,4,6,7}:{(40,1),(41,1),(79,1),(86,1),(183,1),(289,1)}
        62:{1,4,5,6}:{(41,1),(43,1),(80,1),(86,1),(88,1),(185,1),(197,1),(255,1),(289,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(81,1),(88,1),(89,1),(137,1),(139,1),(197,1),(249,1),(289,1),(307,1)}
        64:{2,4,5,7}:{(42,1),(45,1),(82,1),(89,1),(90,1),(91,1),(140,1),(141,1),(145,1),(194,1),(200,1),(201,1),(246,1),(251,1)}
        65:{1,3,5}:{(43,1),(44,1),(83,1),(91,1)}
        66:{2,4,6}:{(44,1),(45,1),(46,1),(91,1),(92,1)}
        67:{1,4,7}:{(45,1),(47,1),(92,1),(207,1)}
        68:{1,3,6}:{(46,1),(47,1),(92,1),(94,1)}
        69:{1,2,5,7}:{(47,1),(93,1),(94,1),(140,1),(150,1),(312,1)}
        70:{1,5,6,7}:{(48,1),(55,1),(95,1),(175,1),(294,1)}
        71:{1,4,6}:{(48,1),(49,1),(56,1),(97,1)}
        72:{1,3,5,7}:{(49,1),(51,1),(57,1),(97,1),(98,1),(99,1)}
        73:{1,4,5}:{(50,1),(58,1),(99,1),(120,1)}
        74:{1,3,4,6}:{(50,1),(51,1),(53,1),(59,1),(97,1),(99,1),(100,1),(102,1)}
        75:{2,4,7}:{(51,1),(54,1),(98,1),(100,1),(101,1)}
        76:{1,3,5}:{(52,1),(53,1),(102,1),(103,1),(227,1),(267,1)}
        77:{2,3,6}:{(53,1),(54,1),(100,1),(103,1),(104,1),(260,1)}
        78:{1,3,7}:{(54,1),(101,1),(104,1),(105,1)}
        79:{2,4,6,7}:{(55,1),(56,1),(61,1),(95,1),(106,1),(107,1),(153,1),(300,1)}
        80:{2,4,5,6}:{(56,1),(58,1),(62,1),(96,1),(106,1),(108,1),(117,1),(155,1),(168,1),(224,1),(272,1),(300,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(60,1),(64,1),(98,1),(109,1),(110,1),(112,1),(227,1),(268,1),(299,1),(309,1)}
        83:{3,5}:{(58,1),(59,1)}
        84:{2,3,4,6}:{(59,1),(60,1),(66,1),(100,1),(109,1),(112,1),(113,1),(162,1),(168,1),(174,1),(211,1),(226,1),(228,1),(271,1),(296,1)}
        85:{1,3,4,7}:{(60,1),(67,1),(101,1),(110,1),(113,1),(114,1),(122,1),(161,1),(215,1),(221,1),(256,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(62,1),(106,1),(115,1),(209,1),(221,1)}
        87:{1,3,4,6,7}:{(61,1),(63,1),(107,1),(115,1),(116,1),(165,1),(167,1),(221,1),(268,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(108,1),(115,1),(117,1),(232,1)}
        89:{2,4,6}:{(63,1),(64,1),(109,1),(117,1),(118,1),(170,1)}
        90:{1,4,5,7}:{(64,1),(67,1),(110,1),(118,1),(120,1),(172,1),(175,1),(215,1),(221,1),(263,1)}
        91:{2,5}:{(65,1),(66,1),(120,1)}
        92:{1,4,6}:{(66,1),(67,1),(68,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(69,1),(114,1),(121,1),(122,1),(290,1),(308,1)}
        94:{1,2,6}:{(68,1),(69,1),(170,1),(314,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(79,1),(123,1),(124,1),(304,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(80,1),(123,1),(125,1),(147,1),(197,1),(282,1),(304,1)}
        97:{1,3,6}:{(71,1),(72,1),(81,1),(126,1)}
        98:{2,5,7}:{(72,1),(75,1),(126,1),(127,1),(129,1)}
        99:{1,3,5}:{(73,1),(74,1),(83,1),(129,1)}
       100:{2,4,6}:{(74,1),(75,1),(77,1),(126,1),(129,1),(130,1),(132,1)}
       101:{1,4,7}:{(75,1),(78,1),(127,1),(130,1)}
       102:{1,3,4}:{(76,1),(132,1),(207,1),(252,1)}
       103:{2,3,5}:{(76,1),(77,1),(129,1),(132,1),(133,1),(241,1),(245,1)}
       104:{1,3,6}:{(77,1),(78,1),(130,1),(133,1),(134,1)}
       105:{1,2,7}:{(78,1),(134,1),(275,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(86,1),(123,1),(135,1),(145,1),(182,1),(194,1),(246,1)}
       107:{3,6,7}:{(79,1),(81,1),(135,1),(307,1)}
       108:{3,5,6}:{(80,1),(81,1),(83,1),(135,1),(137,1),(249,1),(288,1),(307,1)}
       109:{2,3,6}:{(81,1),(82,1),(89,1),(126,1),(139,1),(249,1),(307,1),(313,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(90,1),(127,1),(139,1),(140,1),(142,1),(312,1)}
       111:{3,4,5}:{(83,1),(137,1),(141,1),(252,1),(288,1)}
       112:{2,3,5}:{(83,1),(84,1),(91,1),(129,1),(141,1),(142,1),(251,1),(288,1),(306,1)}
       113:{1,3,4,6}:{(84,1),(85,1),(92,1),(130,1),(139,1),(142,1),(143,1),(151,1),(191,1),(192,1),(197,1),(207,1),(237,1),(240,1),(243,1),(249,1),(252,1),(305,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(275,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(88,1),(135,1),(145,1)}
       116:{2,4,6,7}:{(87,1),(89,1),(136,1),(145,1),(146,1),(194,1),(196,1),(246,1)}
       117:{2,5,6}:{(88,1),(89,1),(91,1),(145,1),(147,1),(251,1)}
       118:{1,4,6}:{(89,1),(90,1),(139,1),(147,1)}
       119:{1,2,4,5,7}:{(90,1),(93,1),(140,1),(148,1),(149,1),(150,1),(200,1),(201,1),(203,1),(207,1),(246,1),(251,1),(253,1),(255,1),(286,1),(312,1)}
       120:{1,5}:{(91,1),(92,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(143,1),(150,1),(151,1),(207,1),(244,1),(279,1),(305,1)}
       122:{1,3,7}:{(93,1),(144,1),(151,1)}
       123:{1,4,5,7}:{(95,1),(96,1),(106,1),(152,1),(175,1),(221,1)}
       124:{1,3,6,7}:{(95,1),(97,1),(107,1),(152,1),(153,1),(310,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(108,1),(152,1),(154,1),(155,1),(297,1),(310,1)}
       126:{2,6}:{(97,1),(98,1),(156,1)}
       127:{1,5,7}:{(98,1),(101,1),(156,1),(159,1)}
       128:{1,3,4,5}:{(99,1),(102,1),(111,1),(154,1),(158,1),(172,1),(216,1),(227,1),(266,1),(297,1)}
       129:{2,5}:{(99,1),(100,1),(159,1)}
       130:{1,4,6}:{(100,1),(101,1),(104,1),(156,1),(159,1),(163,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(114,1),(157,1),(160,1),(161,1),(215,1)}
       132:{2,4}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(103,1),(104,1),(159,1),(163,1),(164,1),(220,1)}
       134:{1,2,6}:{(104,1),(105,1),(164,1),(260,1)}
       135:{3,5,7}:{(106,1),(107,1),(108,1),(165,1),(268,1)}
       136:{2,3,6,7}:{(107,1),(109,1),(116,1),(153,1),(166,1),(167,1),(268,1)}
       137:{3,4,6}:{(108,1),(111,1),(165,1),(168,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(117,1),(155,1),(166,1),(168,1),(169,1),(211,1)}
       139:{1,3,6}:{(109,1),(110,1),(118,1),(156,1),(170,1),(314,1)}
       140:{2,5,7}:{(110,1),(114,1),(170,1),(173,1)}
       141:{2,4,5}:{(111,1),(112,1),(168,1),(172,1),(228,1)}
       142:{1,3,5}:{(112,1),(113,1),(120,1),(159,1),(172,1),(173,1),(227,1),(263,1),(311,1)}
       143:{2,4,6}:{(113,1),(114,1),(170,1),(173,1),(174,1),(219,1),(228,1),(260,1)}
       144:{2,3,7}:{(114,1),(122,1),(161,1),(174,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(117,1),(175,1)}
       146:{1,4,6,7}:{(116,1),(118,1),(167,1),(175,1),(221,1)}
       147:{1,5,6}:{(117,1),(118,1),(120,1),(175,1),(263,1)}
       148:{1,2,4,6}:{(118,1),(119,1),(170,1),(177,1),(178,1),(224,1),(226,1),(231,1),(300,1),(314,1)}
       149:{1,3,5,7}:{(119,1),(122,1),(171,1),(178,1),(179,1),(180,1),(227,1),(232,1),(268,1),(299,1)}
       150:{1,2,5}:{(120,1),(121,1),(173,1),(180,1),(311,1)}
       151:{1,3,6}:{(121,1),(122,1),(174,1),(180,1),(267,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(125,1),(135,1),(181,1),(182,1)}
       153:{2,6,7}:{(124,1),(126,1),(182,1),(183,1),(313,1)}
       154:{1,3,4,6}:{(125,1),(128,1),(137,1),(181,1),(184,1),(197,1),(237,1),(249,1)}
       155:{2,5,6}:{(125,1),(126,1),(129,1),(182,1),(184,1),(185,1),(306,1),(313,1)}
       156:{1,6}:{(126,1),(127,1)}
       157:{1,2,5,7}:{(127,1),(131,1),(140,1),(186,1),(187,1),(190,1)}
       158:{2,4,5}:{(128,1),(129,1),(132,1),(184,1),(188,1),(189,1),(241,1),(284,1),(306,1)}
       159:{1,5}:{(129,1),(130,1)}
       160:{1,2,4,6}:{(130,1),(131,1),(134,1),(143,1),(186,1),(190,1),(191,1),(193,1),(240,1),(243,1)}
       161:{1,3,7}:{(131,1),(144,1),(191,1)}
       162:{2,3,4}:{(132,1),(188,1),(192,1),(245,1),(252,1),(284,1)}
       163:{1,4}:{(132,1),(133,1)}
       164:{1,2,5}:{(133,1),(134,1),(193,1),(241,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(138,1),(145,1),(182,1),(194,1),(195,1),(233,1)}
       167:{1,3,6,7}:{(136,1),(139,1),(146,1),(183,1),(195,1),(196,1)}
       168:{2,4,6}:{(137,1),(138,1),(141,1),(194,1),(197,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(147,1),(185,1),(195,1),(197,1),(198,1),(237,1),(249,1)}
       170:{2,6}:{(139,1),(140,1)}
       171:{2,3,5,7}:{(140,1),(144,1),(149,1),(187,1),(199,1),(200,1),(202,1),(251,1)}
       172:{1,4,5}:{(141,1),(142,1),(197,1),(201,1),(207,1),(243,1)}
       173:{2,5}:{(142,1),(143,1)}
       174:{2,3,6}:{(143,1),(144,1),(151,1),(191,1),(202,1),(245,1),(249,1)}
       175:{1,5,7}:{(145,1),(146,1),(147,1)}
       176:{1,2,4,6,7}:{(146,1),(148,1),(196,1),(203,1),(204,1),(246,1),(248,1),(253,1)}
       177:{1,2,5,6}:{(147,1),(148,1),(150,1),(198,1),(203,1),(205,1),(251,1),(279,1),(287,1)}
       178:{1,3,6}:{(148,1),(149,1),(199,1),(249,1),(307,1)}
       179:{1,3,4,7}:{(149,1),(200,1),(206,1),(207,1),(252,1),(253,1),(285,1)}
       180:{1,3,5}:{(150,1),(151,1),(202,1),(207,1)}
       181:{1,3,4,7}:{(152,1),(154,1),(165,1),(208,1),(221,1),(256,1),(268,1)}
       182:{2,5,7}:{(152,1),(153,1),(155,1),(208,1),(209,1)}
       183:{1,6,7}:{(153,1),(156,1),(209,1),(314,1)}
       184:{2,4,6}:{(154,1),(155,1),(158,1),(208,1),(211,1),(212,1),(260,1)}
       185:{1,5,6}:{(155,1),(156,1),(159,1),(209,1),(212,1),(311,1),(314,1)}
       186:{1,2,6}:{(156,1),(157,1),(170,1),(214,1)}
       187:{1,3,5,7}:{(157,1),(161,1),(171,1),(214,1),(215,1),(218,1),(263,1)}
       188:{2,3,5}:{(158,1),(162,1),(211,1),(216,1),(227,1)}
       189:{1,4,5}:{(158,1),(159,1),(163,1),(212,1),(216,1),(298,1),(311,1)}
       190:{1,2,5}:{(159,1),(160,1),(173,1),(218,1),(263,1)}
       191:{1,3,6}:{(160,1),(161,1),(174,1),(218,1),(220,1)}
       192:{1,3,4}:{(162,1),(163,1),(216,1),(219,1),(220,1),(267,1),(298,1)}
       193:{1,2,4}:{(163,1),(164,1),(219,1),(220,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(209,1),(221,1),(222,1),(256,1),(268,1)}
       196:{2,6,7}:{(167,1),(170,1),(222,1)}
       197:{1,4,6}:{(168,1),(169,1),(172,1),(221,1),(224,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(260,1)}
       199:{2,3,6}:{(170,1),(171,1),(178,1),(214,1),(226,1)}
       200:{2,4,7}:{(171,1),(179,1),(215,1),(226,1),(228,1)}
       201:{2,4,5}:{(172,1),(173,1),(224,1),(227,1),(228,1)}
       202:{2,3,5}:{(173,1),(174,1),(180,1),(218,1),(227,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(177,1),(222,1),(229,1),(270,1),(290,1)}
       204:{1,3,6,7}:{(176,1),(178,1),(223,1),(229,1),(268,1),(314,1)}
       205:{1,3,5,6}:{(177,1),(178,1),(180,1),(225,1),(229,1),(231,1),(232,1),(295,1),(311,1),(314,1)}
       206:{1,3,4,6}:{(178,1),(179,1),(226,1),(231,1),(232,1),(271,1)}
       207:{1,4}:{(180,1),(228,1)}
       208:{2,4,7}:{(181,1),(182,1),(184,1),(233,1),(234,1),(275,1)}
       209:{1,5,7}:{(182,1),(183,1),(185,1),(234,1)}
       210:{1,2,6,7}:{(183,1),(186,1),(196,1),(235,1),(236,1),(313,1)}
       211:{2,3,6}:{(184,1),(188,1),(233,1),(237,1),(249,1)}
       212:{1,4,6}:{(184,1),(185,1),(189,1),(234,1),(237,1)}
       213:{1,2,5,6}:{(185,1),(186,1),(190,1),(198,1),(235,1),(238,1),(239,1),(306,1),(313,1)}
       214:{1,3,6}:{(186,1),(187,1),(199,1),(240,1)}
       215:{1,4,7}:{(187,1),(200,1),(240,1),(243,1)}
       216:{1,3,5}:{(188,1),(189,1),(192,1),(237,1),(241,1)}
       217:{1,2,4,5}:{(189,1),(190,1),(193,1),(201,1),(238,1),(241,1),(242,1),(243,1),(282,1),(284,1),(306,1)}
       218:{1,3,5}:{(190,1),(191,1),(202,1),(243,1)}
       219:{2,4}:{(192,1),(241,1),(245,1)}
       220:{1,3}:{(193,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,5,7}:{(195,1),(196,1),(198,1),(246,1),(275,1)}
       223:{2,3,6,7}:{(196,1),(199,1),(204,1),(236,1),(247,1),(248,1),(307,1),(313,1)}
       224:{2,4,6}:{(197,1),(198,1),(201,1),(246,1),(249,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(202,1),(205,1),(239,1),(247,1),(249,1),(250,1),(251,1),(280,1),(287,1),(288,1),(306,1),(307,1),(313,1)}
       226:{2,4,6}:{(199,1),(200,1),(206,1),(240,1),(251,1)}
       227:{3,5}:{(201,1),(249,1),(252,1)}
       228:{2,4}:{(202,1),(207,1),(243,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(205,1),(247,1),(253,1),(301,1),(312,1)}
       230:{1,3,4,6,7}:{(204,1),(206,1),(248,1),(253,1),(254,1),(285,1),(289,1),(307,1)}
       231:{1,4,6}:{(205,1),(207,1),(250,1),(253,1),(255,1)}
       232:{1,3,5}:{(206,1),(251,1),(255,1),(288,1)}
       233:{2,3,7}:{(208,1),(211,1),(256,1),(268,1)}
       234:{1,4,7}:{(208,1),(209,1),(212,1),(256,1)}
       235:{1,2,5,7}:{(209,1),(210,1),(213,1),(222,1),(257,1),(258,1),(309,1)}
       236:{1,3,6,7}:{(210,1),(214,1),(223,1),(258,1),(259,1),(310,1)}
       237:{1,3,6}:{(211,1),(212,1),(216,1),(256,1),(260,1)}
       238:{1,2,4,6}:{(212,1),(213,1),(217,1),(224,1),(257,1),(260,1),(261,1),(262,1),(296,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(218,1),(225,1),(258,1),(261,1),(262,1),(263,1),(294,1),(297,1),(310,1)}
       240:{1,4,6}:{(214,1),(215,1),(226,1),(263,1)}
       241:{2,5}:{(216,1),(219,1),(260,1)}
       242:{1,3,5}:{(217,1),(220,1),(227,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(218,1),(228,1)}
       244:{1,2,4}:{(219,1),(264,1),(267,1),(298,1)}
       245:{2,3}:{(219,1),(220,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{2,3,5,7}:{(222,1),(223,1),(225,1),(229,1),(258,1),(268,1),(269,1),(270,1),(291,1),(299,1),(309,1)}
       248:{2,4,6,7}:{(223,1),(226,1),(230,1),(259,1),(269,1),(270,1),(300,1)}
       249:{3,6}:{(224,1),(227,1),(268,1)}
       250:{2,4,6}:{(225,1),(228,1),(231,1),(262,1),(269,1),(271,1),(272,1)}
       251:{2,5}:{(226,1),(232,1),(263,1)}
       252:{3,4}:{(227,1),(228,1)}
       253:{1,4,7}:{(229,1),(231,1),(269,1)}
       254:{1,3,5,7}:{(230,1),(232,1),(270,1),(273,1),(274,1),(299,1)}
       255:{1,4,5}:{(231,1),(232,1),(272,1),(311,1)}
       256:{1,3,7}:{(233,1),(234,1),(237,1),(275,1)}
       257:{1,2,4,7}:{(234,1),(235,1),(238,1),(246,1),(275,1),(276,1),(277,1),(302,1)}
       258:{1,3,5,7}:{(235,1),(236,1),(239,1),(247,1),(276,1),(277,1),(278,1)}
       259:{1,4,6,7}:{(236,1),(240,1),(248,1),(277,1),(278,1),(304,1)}
       260:{2,6}:{(237,1),(241,1),(275,1)}
       261:{1,3,6}:{(238,1),(242,1),(249,1),(276,1),(280,1)}
       262:{1,4,6}:{(239,1),(243,1),(250,1),(277,1),(282,1)}
       263:{1,5}:{(240,1),(251,1)}
       264:{1,2,5}:{(241,1),(244,1),(279,1),(283,1)}
       265:{2,3,5}:{(241,1),(242,1),(245,1),(280,1),(283,1),(284,1),(306,1)}
       266:{1,3,4}:{(242,1),(243,1),(252,1),(284,1)}
       267:{1,3}:{(244,1),(245,1)}
       268:{3,7}:{(246,1),(249,1)}
       269:{2,4,7}:{(247,1),(250,1),(253,1),(277,1),(285,1)}
       270:{2,5,7}:{(248,1),(251,1),(254,1),(278,1),(287,1)}
       271:{3,4,6}:{(249,1),(250,1),(252,1),(285,1),(288,1),(307,1)}
       272:{2,4,5}:{(250,1),(251,1),(255,1),(282,1),(288,1),(306,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(286,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(254,1),(287,1),(289,1),(307,1)}
       275:{2,7}:{(256,1),(260,1)}
       276:{1,3,7}:{(257,1),(261,1),(268,1),(291,1)}
       277:{1,4,7}:{(258,1),(262,1),(269,1)}
       278:{1,5,7}:{(259,1),(263,1),(270,1),(294,1)}
       279:{1,2,6}:{(260,1),(264,1),(290,1),(295,1)}
       280:{2,3,6}:{(260,1),(261,1),(265,1),(291,1),(295,1),(296,1)}
       281:{1,3,4,6}:{(261,1),(262,1),(266,1),(271,1),(292,1),(296,1),(297,1),(310,1)}
       282:{1,4,5}:{(262,1),(263,1),(272,1),(297,1)}
       283:{1,3,5}:{(264,1),(265,1),(267,1),(295,1),(298,1),(311,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(271,1),(299,1)}
       286:{2,4,5,7}:{(269,1),(270,1),(272,1),(273,1),(293,1),(299,1),(300,1),(309,1)}
       287:{2,5,6}:{(270,1),(274,1),(294,1),(300,1)}
       288:{3,5}:{(271,1),(272,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(279,1),(301,1)}
       291:{2,3,7}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{1,3,4,7}:{(276,1),(277,1),(281,1),(285,1),(302,1),(303,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(282,1),(286,1),(303,1),(304,1)}
       294:{1,5,6}:{(278,1),(287,1),(304,1)}
       295:{1,3,6}:{(279,1),(280,1),(283,1),(301,1),(305,1)}
       296:{2,4,6}:{(280,1),(281,1),(284,1),(302,1),(305,1),(306,1),(313,1)}
       297:{1,3,5}:{(281,1),(282,1),(288,1),(306,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{3,5,7}:{(285,1),(286,1),(288,1),(307,1)}
       300:{2,4,6}:{(286,1),(287,1),(289,1),(304,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(295,1),(308,1)}
       302:{2,4,7}:{(291,1),(292,1),(296,1),(308,1),(309,1)}
       303:{1,3,5,7}:{(292,1),(293,1),(297,1),(299,1),(309,1),(310,1)}
       304:{1,4,6}:{(293,1),(294,1),(300,1),(310,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(308,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(305,1),(312,1)}
       309:{2,5,7}:{(302,1),(303,1),(306,1),(312,1),(313,1)}
       310:{1,3,6}:{(303,1),(304,1),(307,1),(313,1)}
       311:{1,5}:{(305,1),(306,1)}
       312:{1,5,7}:{(308,1),(309,1),(311,1),(314,1)}
       313:{2,6}:{(309,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1642 :   0:{1,2,4,6}:{(1,1),(2,1),(3,1),(15,1),(16,1),(18,1),(48,1)}
         1:{1,2,5}:{(0,1),(7,1),(29,1),(53,1),(70,1)}
         2:{1,2,4,7}:{(0,1),(6,1),(8,1),(28,1),(31,1),(134,1)}
         3:{1,3,6}:{(0,1),(5,1),(7,1),(8,1),(138,1)}
         4:{1,2,6}:{(10,1),(11,1),(12,1),(123,1)}
         5:{2,3,6}:{(3,1),(12,1),(13,1),(14,1),(15,1),(89,1),(123,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(16,1),(17,1),(46,1),(74,1),(116,1)}
         7:{1,3,5}:{(1,1),(3,1),(13,1),(18,1),(75,1),(119,1)}
         8:{1,3,7}:{(2,1),(3,1),(14,1),(149,1),(153,1)}
         9:{1,3,4,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(42,1),(48,1),(50,1),(51,1),(87,1),(89,1)}
        10:{1,2,5}:{(4,1),(21,1),(23,1),(101,1)}
        11:{1,2,7}:{(4,1),(24,1),(142,1),(161,1)}
        12:{1,3,6}:{(4,1),(5,1),(23,1),(24,1),(25,1)}
        13:{2,3,5}:{(5,1),(7,1),(23,1),(27,1),(29,1),(54,1),(64,1),(101,1)}
        14:{2,3,7}:{(5,1),(8,1),(24,1),(28,1),(112,1),(142,1),(162,1)}
        15:{2,4,6}:{(5,1),(9,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,2,6}:{(6,1),(30,1),(68,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(8,1),(26,1),(30,1),(31,1),(70,1),(97,1),(135,1),(137,1)}
        18:{1,4}:{(7,1),(27,1)}
        19:{1,3,4,7}:{(8,1),(9,1),(28,1),(31,1),(33,1),(63,1),(72,1),(112,1),(163,1)}
        20:{1,3,5}:{(9,1),(29,1),(32,1),(64,1),(70,1),(110,1)}
        21:{1,2,4}:{(10,1),(36,1),(39,1),(77,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(35,1),(37,1),(38,1),(78,1),(122,1)}
        23:{1,3,5}:{(10,1),(12,1),(13,1),(36,1),(39,1),(41,1)}
        24:{1,3,7}:{(11,1),(12,1),(14,1),(40,1),(171,1)}
        25:{1,4,6}:{(12,1),(15,1),(39,1),(40,1),(41,1),(85,1)}
        26:{2,3,5,7}:{(13,1),(14,1),(17,1),(38,1),(43,1),(44,1),(46,1),(76,1),(88,1),(90,1),(120,1),(122,1)}
        27:{2,4}:{(13,1),(18,1),(39,1),(42,1)}
        28:{2,4,7}:{(14,1),(15,1),(19,1),(40,1),(46,1),(172,1)}
        29:{2,5}:{(15,1),(20,1),(41,1)}
        30:{1,3,6}:{(16,1),(17,1),(43,1),(48,1),(152,1)}
        31:{1,4,7}:{(17,1),(18,1),(44,1),(48,1),(150,1)}
        32:{1,4,5}:{(18,1),(20,1),(45,1),(50,1),(119,1),(130,1)}
        33:{1,3,5,7}:{(19,1),(20,1),(46,1),(49,1),(51,1),(88,1),(173,1),(185,1)}
        34:{1,3,5,6}:{(20,1),(47,1),(50,1),(51,1),(52,1),(89,1),(94,1),(131,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(55,1),(56,1),(59,1),(100,1)}
        36:{1,3}:{(21,1),(54,1)}
        37:{1,2,6}:{(22,1),(58,1),(141,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(24,1),(26,1),(56,1),(58,1),(59,1),(61,1),(102,1),(106,1)}
        39:{1,4}:{(23,1),(27,1)}
        40:{1,4,7}:{(24,1),(25,1),(28,1),(61,1),(178,1)}
        41:{1,5}:{(25,1),(29,1)}
        42:{3,4}:{(27,1),(64,1)}
        43:{2,3,6}:{(26,1),(30,1),(58,1),(65,1),(68,1),(111,1),(141,1)}
        44:{2,4,7}:{(26,1),(27,1),(31,1),(59,1),(63,1),(65,1),(139,1)}
        45:{2,4,5}:{(27,1),(29,1),(32,1),(60,1),(64,1),(67,1),(101,1)}
        46:{2,5,7}:{(28,1),(29,1),(33,1),(61,1),(68,1),(179,1),(187,1)}
        47:{2,5,6}:{(29,1),(34,1),(62,1),(67,1),(68,1),(69,1)}
        48:{1,4,6}:{(30,1),(31,1),(65,1),(70,1)}
        49:{1,4,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1),(71,1),(72,1),(115,1),(137,1),(164,1),(181,1)}
        50:{1,4,6}:{(32,1),(34,1),(67,1),(72,1),(138,1),(147,1)}
        51:{1,3,6}:{(33,1),(68,1),(71,1),(111,1)}
        52:{1,3,5,7}:{(34,1),(69,1),(72,1),(73,1),(112,1),(115,1),(148,1)}
        53:{1,2}:{(75,1)}
        54:{2,3}:{(36,1),(75,1),(77,1)}
        55:{1,2,4,6}:{(35,1),(37,1),(78,1),(79,1),(82,1),(121,1),(124,1)}
        56:{1,3,7}:{(35,1),(36,1),(76,1),(79,1),(188,1)}
        57:{1,3,4}:{(36,1),(39,1),(42,1),(77,1),(81,1)}
        58:{1,3,6}:{(37,1),(38,1),(43,1),(82,1),(85,1)}
        59:{1,4,7}:{(38,1),(39,1),(44,1),(82,1),(124,1)}
        60:{1,4,5}:{(39,1),(41,1),(45,1),(81,1),(84,1)}
        61:{1,5,7}:{(40,1),(41,1),(46,1),(85,1),(183,1),(188,1)}
        62:{1,5,6}:{(41,1),(47,1),(84,1),(85,1),(86,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(88,1),(154,1),(160,1)}
        64:{3,5}:{(42,1),(45,1),(89,1)}
        65:{2,4,6}:{(43,1),(44,1),(48,1),(82,1),(87,1),(90,1)}
        66:{2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(83,1),(88,1),(90,1),(91,1),(92,1),(122,1),(130,1),(133,1),(155,1),(160,1),(177,1)}
        67:{2,4,6}:{(45,1),(47,1),(50,1),(84,1),(89,1),(92,1),(123,1)}
        68:{2,6}:{(46,1),(51,1),(85,1)}
        69:{2,5,7}:{(47,1),(52,1),(86,1),(92,1),(93,1)}
        70:{1,5}:{(48,1),(90,1)}
        71:{1,4,6}:{(49,1),(51,1),(91,1),(94,1),(152,1)}
        72:{1,4,7}:{(50,1),(52,1),(92,1),(153,1),(160,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(93,1),(95,1),(132,1),(185,1)}
        74:{1,2,7}:{(53,1),(96,1),(97,1),(187,1)}
        75:{1,3}:{(53,1),(54,1),(98,1)}
        76:{2,3,7}:{(54,1),(56,1),(97,1),(99,1),(100,1),(182,1),(187,1)}
        77:{2,4}:{(54,1),(57,1),(98,1),(101,1)}
        78:{1,2,5}:{(55,1),(102,1),(106,1),(140,1),(161,1)}
        79:{1,3,6}:{(55,1),(56,1),(99,1),(102,1),(186,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(63,1),(100,1),(103,1),(104,1),(170,1),(182,1)}
        81:{1,3,5}:{(57,1),(60,1),(64,1),(101,1),(105,1)}
        82:{1,4,6}:{(58,1),(59,1),(65,1),(106,1)}
        83:{1,4,5,7}:{(59,1),(60,1),(61,1),(66,1),(104,1),(106,1),(107,1),(108,1),(143,1),(146,1),(170,1)}
        84:{1,4,6}:{(60,1),(62,1),(67,1),(105,1),(108,1)}
        85:{1,6}:{(61,1),(68,1)}
        86:{1,5,7}:{(62,1),(69,1),(108,1),(109,1)}
        87:{3,4,6}:{(63,1),(65,1),(110,1),(111,1),(147,1)}
        88:{3,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(112,1),(167,1),(182,1)}
        89:{3,6}:{(64,1),(67,1),(112,1)}
        90:{2,5}:{(65,1),(70,1),(106,1),(110,1)}
        91:{2,4,6}:{(66,1),(68,1),(71,1),(107,1),(111,1),(113,1),(141,1),(147,1)}
        92:{2,4,7}:{(67,1),(69,1),(72,1),(108,1),(112,1),(142,1)}
        93:{2,6,7}:{(68,1),(69,1),(73,1),(109,1),(187,1)}
        94:{1,5,6}:{(70,1),(71,1),(113,1),(115,1)}
        95:{1,4,6,7}:{(71,1),(72,1),(73,1),(114,1),(115,1),(166,1),(181,1)}
        96:{1,2,6}:{(74,1),(116,1),(117,1),(184,1)}
        97:{1,3,7}:{(74,1),(75,1),(76,1),(117,1),(118,1)}
        98:{1,4}:{(75,1),(77,1),(119,1)}
        99:{2,3,6}:{(76,1),(79,1),(117,1),(120,1),(121,1),(176,1),(184,1)}
       100:{2,4,7}:{(76,1),(77,1),(80,1),(118,1),(121,1),(122,1)}
       101:{2,5}:{(77,1),(81,1),(119,1),(123,1)}
       102:{1,3,5}:{(78,1),(79,1),(120,1),(124,1),(171,1),(183,1)}
       103:{1,3,4,6}:{(79,1),(80,1),(82,1),(87,1),(121,1),(124,1),(125,1),(126,1),(154,1),(158,1),(176,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(122,1),(125,1),(126,1),(127,1)}
       105:{1,3,6}:{(81,1),(84,1),(89,1),(123,1),(127,1)}
       106:{1,5}:{(82,1),(90,1)}
       107:{1,4,6}:{(83,1),(85,1),(91,1),(126,1),(128,1)}
       108:{1,4,7}:{(84,1),(86,1),(92,1),(127,1)}
       109:{1,6,7}:{(85,1),(86,1),(93,1),(188,1)}
       110:{3,5}:{(87,1),(90,1),(130,1)}
       111:{3,6}:{(88,1),(91,1)}
       112:{3,7}:{(89,1),(92,1)}
       113:{2,5,6}:{(90,1),(91,1),(94,1),(128,1),(131,1),(133,1)}
       114:{2,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(129,1),(132,1),(133,1),(157,1),(160,1),(177,1)}
       115:{1,5,7}:{(94,1),(95,1),(133,1)}
       116:{1,2,5}:{(96,1),(134,1),(135,1),(179,1)}
       117:{1,3,6}:{(96,1),(97,1),(99,1),(135,1),(136,1)}
       118:{1,4,7}:{(97,1),(98,1),(100,1),(136,1),(137,1)}
       119:{1,5}:{(98,1),(101,1),(138,1)}
       120:{2,3,5}:{(99,1),(102,1),(135,1),(139,1),(140,1),(162,1),(167,1),(179,1)}
       121:{2,4,6}:{(99,1),(100,1),(103,1),(136,1),(139,1),(140,1),(141,1)}
       122:{2,5,7}:{(100,1),(101,1),(104,1),(137,1),(140,1),(141,1),(142,1)}
       123:{2,6}:{(101,1),(105,1),(138,1),(142,1)}
       124:{1,4}:{(102,1),(139,1)}
       125:{1,3,5}:{(103,1),(106,1),(110,1),(140,1),(143,1),(167,1)}
       126:{1,3,6}:{(104,1),(107,1),(111,1),(141,1)}
       127:{1,3,7}:{(105,1),(108,1),(112,1),(142,1)}
       128:{1,5,6}:{(106,1),(107,1),(113,1),(146,1)}
       129:{1,4,6,7}:{(107,1),(108,1),(109,1),(114,1),(145,1),(146,1),(170,1)}
       130:{4,5}:{(110,1),(147,1)}
       131:{3,5,6}:{(110,1),(111,1),(113,1),(147,1),(148,1)}
       132:{3,6,7}:{(111,1),(112,1),(114,1),(148,1),(182,1)}
       133:{2,5,7}:{(113,1),(114,1),(115,1),(146,1),(148,1)}
       134:{1,2,4}:{(116,1),(149,1),(150,1),(172,1)}
       135:{1,3,5}:{(116,1),(117,1),(120,1),(149,1),(150,1),(151,1)}
       136:{1,4,6}:{(117,1),(118,1),(121,1),(150,1),(151,1),(152,1)}
       137:{1,5,7}:{(118,1),(119,1),(122,1),(151,1),(152,1),(153,1)}
       138:{1,6}:{(119,1),(123,1),(153,1)}
       139:{2,4}:{(120,1),(124,1),(150,1),(154,1)}
       140:{2,5}:{(121,1),(125,1),(151,1)}
       141:{2,6}:{(122,1),(126,1),(152,1)}
       142:{2,7}:{(123,1),(127,1),(153,1)}
       143:{1,4,5}:{(124,1),(125,1),(130,1),(155,1),(158,1),(183,1)}
       144:{1,3,5,6}:{(125,1),(126,1),(128,1),(131,1),(156,1),(158,1),(159,1),(176,1)}
       145:{1,3,6,7}:{(126,1),(127,1),(129,1),(132,1),(157,1),(159,1)}
       146:{1,5,7}:{(128,1),(129,1),(133,1)}
       147:{4,6}:{(130,1),(131,1),(160,1)}
       148:{3,5,7}:{(131,1),(132,1),(133,1),(160,1)}
       149:{1,3}:{(134,1),(162,1)}
       150:{1,4}:{(135,1),(139,1)}
       151:{1,5}:{(136,1),(140,1)}
       152:{1,6}:{(137,1),(141,1)}
       153:{1,7}:{(138,1),(142,1)}
       154:{3,4}:{(139,1),(167,1)}
       155:{2,4,5}:{(139,1),(140,1),(143,1),(164,1),(167,1),(168,1),(179,1)}
       156:{2,5,6}:{(140,1),(141,1),(144,1),(165,1),(168,1),(169,1)}
       157:{2,6,7}:{(141,1),(142,1),(145,1),(166,1),(169,1)}
       158:{1,4,6}:{(143,1),(144,1),(147,1),(168,1),(170,1),(186,1)}
       159:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(169,1),(170,1),(182,1)}
       160:{4,7}:{(147,1),(148,1)}
       161:{1,2}:{(171,1)}
       162:{2,3}:{(149,1),(171,1),(172,1)}
       163:{1,3,4}:{(149,1),(150,1),(154,1),(172,1),(173,1)}
       164:{1,4,5}:{(150,1),(151,1),(155,1),(173,1),(174,1)}
       165:{1,5,6}:{(151,1),(152,1),(156,1),(174,1),(175,1)}
       166:{1,6,7}:{(152,1),(153,1),(157,1),(175,1)}
       167:{3,5}:{(154,1),(155,1),(176,1)}
       168:{2,4,6}:{(155,1),(156,1),(158,1),(174,1),(176,1),(177,1),(184,1)}
       169:{2,5,7}:{(156,1),(157,1),(159,1),(175,1),(177,1)}
       170:{1,4,7}:{(158,1),(159,1),(160,1),(177,1),(188,1)}
       171:{1,3}:{(161,1),(162,1),(178,1)}
       172:{2,4}:{(162,1),(163,1),(178,1),(179,1)}
       173:{1,3,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
       174:{1,4,6}:{(164,1),(165,1),(168,1),(180,1),(181,1)}
       175:{1,5,7}:{(165,1),(166,1),(169,1),(181,1)}
       176:{3,6}:{(167,1),(168,1),(182,1)}
       177:{2,4,7}:{(168,1),(169,1),(170,1),(181,1),(182,1),(187,1)}
       178:{1,4}:{(171,1),(172,1),(183,1)}
       179:{2,5}:{(172,1),(173,1),(183,1),(184,1)}
       180:{1,3,6}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
       181:{1,4,7}:{(174,1),(175,1),(177,1),(185,1)}
       182:{3,7}:{(176,1),(177,1)}
       183:{1,5}:{(178,1),(179,1),(186,1)}
       184:{2,6}:{(179,1),(180,1),(186,1),(187,1)}
       185:{1,3,7}:{(180,1),(181,1),(182,1),(187,1)}
       186:{1,6}:{(183,1),(184,1),(188,1)}
       187:{2,7}:{(184,1),(185,1),(188,1)}
       188:{1,7}:{(186,1),(187,1)}

1643 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1644 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1645 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1646 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(46,1),(121,1),(157,1)}
         6:{1,2,3,7}:{(1,1),(14,1),(44,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(13,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(21,1),(24,1),(25,1),(26,1),(63,1),(66,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(168,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(27,1),(29,1),(56,1),(63,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(33,1),(74,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(77,1)}
        19:{1,2,3,7}:{(8,1),(34,1),(124,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(81,1),(84,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(41,1)}
        25:{1,3,4,7}:{(11,1),(14,1),(38,1),(43,1),(44,1),(87,1),(158,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,6}:{(13,1),(15,1),(42,1),(45,1),(46,1),(78,1),(157,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(43,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(45,1),(79,1),(87,1)}
        30:{1,3,4,6}:{(16,1),(18,1),(21,1),(48,1),(49,1),(50,1),(51,1),(93,1),(96,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,5}:{(18,1),(48,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,5}:{(21,1),(24,1),(48,1),(57,1)}
        38:{2,3,4,7}:{(21,1),(25,1),(49,1),(59,1),(60,1),(107,1),(144,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(63,1),(105,1)}
        41:{1,4,5}:{(24,1),(57,1),(63,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(27,1),(58,1),(63,1),(65,1),(66,1),(113,1),(143,1),(163,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(28,1),(59,1),(64,1),(66,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,5,7}:{(27,1),(29,1),(65,1),(67,1),(104,1),(168,1)}
        46:{1,2,6}:{(28,1),(66,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,5}:{(30,1),(33,1),(37,1),(69,1)}
        49:{1,3,4,7}:{(30,1),(34,1),(38,1),(71,1),(72,1),(118,1),(124,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(33,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(151,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(71,1),(77,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(37,1),(41,1),(69,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(37,1),(39,1),(42,1),(70,1),(78,1),(81,1),(83,1),(84,1),(123,1),(125,1),(131,1),(151,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(43,1),(71,1),(82,1),(84,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(87,1),(128,1)}
        63:{1,4,6}:{(41,1),(42,1),(81,1),(87,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(82,1),(87,1),(88,1),(133,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(45,1),(83,1),(87,1),(89,1),(133,1),(158,1),(171,1)}
        66:{1,3,6}:{(43,1),(46,1),(84,1),(88,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(48,1),(57,1),(93,1)}
        70:{1,3,5,6}:{(48,1),(50,1),(53,1),(58,1),(90,1),(93,1),(95,1),(96,1),(100,1),(141,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(54,1),(59,1),(94,1),(96,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(53,1),(93,1),(100,1),(101,1),(138,1)}
        76:{1,2,5,7}:{(53,1),(55,1),(95,1),(101,1),(102,1),(164,1)}
        77:{1,2,6}:{(54,1),(96,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(64,1),(94,1),(106,1),(107,1),(108,1),(149,1)}
        83:{2,3,5,7}:{(58,1),(60,1),(65,1),(95,1),(104,1),(107,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        84:{2,3,6}:{(59,1),(66,1),(96,1),(108,1)}
        85:{1,4,5,6}:{(61,1),(63,1),(103,1),(110,1),(113,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,7}:{(63,1),(65,1),(107,1)}
        88:{1,4,6}:{(64,1),(66,1),(108,1),(113,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(112,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,6}:{(69,1),(70,1),(81,1),(118,1)}
        94:{1,4,5,7}:{(69,1),(71,1),(82,1),(118,1),(119,1),(156,1)}
        95:{1,3,5,7}:{(70,1),(72,1),(76,1),(83,1),(115,1),(118,1),(120,1),(124,1),(156,1)}
        96:{1,3,6}:{(71,1),(77,1),(84,1),(119,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(76,1),(118,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(81,1),(85,1),(114,1),(125,1),(126,1),(131,1),(151,1),(162,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,6}:{(80,1),(81,1),(125,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,7}:{(81,1),(83,1),(87,1),(118,1),(128,1)}
       108:{2,4,6}:{(82,1),(84,1),(88,1),(119,1),(129,1),(131,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(130,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(87,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,4,6,7}:{(87,1),(88,1),(89,1),(130,1),(133,1)}
       113:{1,5,6}:{(88,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(93,1),(103,1),(134,1),(135,1),(141,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(93,1),(100,1),(105,1),(134,1),(138,1),(139,1)}
       118:{1,4,7}:{(93,1),(95,1),(107,1)}
       119:{1,4,6}:{(94,1),(96,1),(108,1),(141,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(140,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(105,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(107,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,7}:{(105,1),(107,1),(145,1)}
       129:{3,4,6}:{(106,1),(108,1),(148,1)}
       130:{2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,5,6}:{(108,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(118,1),(124,1),(128,1),(152,1),(155,1)}
       140:{1,4,6,7}:{(118,1),(119,1),(120,1),(130,1),(156,1)}
       141:{1,5,6}:{(119,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(128,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,4,6,7}:{(128,1),(129,1),(130,1),(159,1),(161,1),(173,1)}
       148:{3,5,6}:{(129,1),(131,1),(161,1),(162,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(161,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       162:{4,5,6}:{(148,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1647 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1648 :   0:{1,2,5,6,7}:{(1,1),(2,1),(45,1),(83,1),(94,1),(139,1),(143,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(27,1),(58,1),(110,1),(114,1),(168,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(120,1),(169,1),(175,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(26,1),(31,1),(68,1),(73,1),(120,1),(125,1),(126,1),(167,1),(169,1),(175,1),(214,1),(216,1),(240,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(47,1),(81,1),(95,1),(138,1),(143,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(12,1),(16,1),(37,1),(39,1),(45,1),(81,1),(86,1),(143,1),(144,1),(194,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(42,1),(45,1),(92,1),(139,1),(142,1),(145,1),(147,1),(193,1)}
         7:{1,4,6,7}:{(1,1),(12,1),(14,1),(141,1),(193,1)}
         8:{1,3,6,7}:{(2,1),(13,1),(16,1),(146,1),(194,1)}
         9:{1,3,5,6}:{(3,1),(13,1),(17,1),(18,1),(97,1),(146,1),(154,1),(194,1),(231,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(29,1),(56,1),(69,1),(114,1),(124,1)}
        11:{1,2,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(57,1),(164,1),(169,1),(210,1)}
        12:{2,4,6,7}:{(5,1),(7,1),(20,1),(22,1),(23,1),(112,1),(169,1),(172,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(9,1),(24,1),(25,1),(170,1),(174,1)}
        14:{1,4,5,7}:{(7,1),(22,1),(26,1),(27,1),(110,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(23,1),(24,1),(27,1),(28,1),(64,1)}
        16:{2,3,6,7}:{(8,1),(25,1),(28,1),(29,1),(117,1),(175,1)}
        17:{1,3,4,6}:{(9,1),(24,1),(30,1),(31,1),(214,1),(215,1)}
        18:{2,3,5,6}:{(9,1),(25,1),(31,1),(32,1),(68,1),(71,1),(117,1),(126,1),(127,1),(175,1)}
        19:{1,2,4,5,7}:{(11,1),(33,1),(34,1),(35,1),(78,1),(81,1),(95,1),(136,1),(142,1),(152,1),(186,1),(188,1)}
        20:{1,4,6,7}:{(10,1),(12,1),(35,1),(141,1),(152,1)}
        21:{1,3,6,7}:{(11,1),(34,1),(37,1),(187,1),(194,1)}
        22:{2,4,5,7}:{(12,1),(14,1),(35,1),(38,1),(39,1),(45,1),(81,1)}
        23:{3,4,6,7}:{(12,1),(39,1),(84,1),(194,1),(195,1)}
        24:{1,3,4,7}:{(13,1),(17,1),(42,1),(193,1),(195,1)}
        25:{2,3,5,7}:{(13,1),(16,1),(18,1),(42,1),(43,1),(45,1),(147,1),(148,1)}
        26:{1,4,5,6}:{(14,1),(38,1),(44,1),(138,1),(141,1),(202,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(39,1),(44,1),(45,1)}
        28:{2,4,6,7}:{(15,1),(16,1),(42,1),(45,1),(46,1),(91,1)}
        29:{1,3,6,7}:{(16,1),(43,1),(46,1),(47,1),(146,1)}
        30:{1,3,4,5}:{(17,1),(49,1),(97,1),(156,1),(230,1),(231,1)}
        31:{2,4,6}:{(17,1),(18,1),(42,1),(49,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(43,1),(50,1),(51,1),(94,1),(97,1),(100,1),(146,1)}
        33:{1,2,4,5,6}:{(19,1),(52,1),(55,1),(102,1),(109,1),(123,1),(159,1),(164,1),(169,1),(179,1),(204,1),(205,1),(210,1),(216,1),(244,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(52,1),(53,1),(54,1),(170,1),(209,1)}
        35:{1,4,5,7}:{(20,1),(22,1),(55,1),(56,1),(69,1)}
        36:{1,3,4,6,7}:{(20,1),(21,1),(23,1),(53,1),(56,1),(57,1),(105,1)}
        37:{2,3,6,7}:{(21,1),(54,1),(57,1),(58,1),(161,1),(210,1)}
        38:{2,4,5,6}:{(22,1),(26,1),(55,1),(60,1),(68,1),(109,1),(112,1),(169,1),(216,1)}
        39:{3,5,7}:{(22,1),(23,1),(60,1)}
        40:{2,3,4,6,7}:{(23,1),(28,1),(57,1),(61,1),(62,1),(63,1),(104,1),(112,1),(116,1),(117,1),(161,1),(172,1),(215,1),(219,1),(238,1)}
        41:{1,3,4,5,7}:{(24,1),(27,1),(30,1),(59,1),(64,1),(65,1),(113,1),(118,1),(170,1),(178,1),(220,1)}
        42:{2,4,7}:{(24,1),(25,1),(31,1),(66,1)}
        43:{1,3,5,7}:{(25,1),(29,1),(32,1),(66,1),(67,1),(69,1),(122,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(60,1),(64,1),(68,1),(220,1)}
        45:{2,5,7}:{(27,1),(28,1),(68,1),(69,1)}
        46:{1,4,6,7}:{(28,1),(29,1),(66,1),(69,1),(120,1)}
        47:{1,2,6,7}:{(29,1),(67,1),(175,1)}
        48:{2,3,4,6}:{(31,1),(63,1),(71,1),(72,1),(117,1),(127,1),(181,1),(215,1),(219,1)}
        49:{2,4,5}:{(30,1),(31,1),(71,1),(73,1),(126,1),(181,1)}
        50:{1,4,6}:{(31,1),(32,1),(66,1),(73,1)}
        51:{1,2,5,6}:{(32,1),(67,1),(74,1),(126,1),(175,1)}
        52:{1,3,5,6}:{(33,1),(34,1),(75,1),(76,1),(182,1),(187,1),(194,1),(222,1),(231,1)}
        53:{1,3,4,7}:{(34,1),(75,1),(78,1),(152,1),(195,1)}
        54:{2,3,5,7}:{(34,1),(37,1),(76,1),(78,1),(79,1),(81,1),(188,1),(189,1)}
        55:{1,4,5,6}:{(35,1),(38,1),(80,1),(94,1),(141,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(39,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(37,1),(78,1),(81,1),(82,1),(135,1)}
        58:{1,3,6,7}:{(37,1),(79,1),(82,1),(83,1),(187,1)}
        59:{3,4,5,7}:{(39,1),(84,1),(85,1),(195,1),(231,1)}
        60:{3,5,6}:{(38,1),(39,1),(84,1),(194,1),(231,1)}
        61:{2,3,5,7}:{(39,1),(40,1),(45,1),(81,1),(85,1),(86,1),(87,1),(231,1),(233,1),(243,1)}
        62:{1,3,4,6,7}:{(40,1),(46,1),(82,1),(87,1),(88,1),(90,1),(96,1),(134,1),(140,1),(141,1),(146,1),(152,1),(187,1),(193,1),(194,1),(195,1),(201,1),(229,1),(232,1),(242,1)}
        63:{2,3,4,7}:{(42,1),(48,1),(89,1),(90,1),(148,1),(195,1),(200,1)}
        64:{1,3,4,6}:{(41,1),(44,1),(84,1),(91,1),(141,1),(146,1),(194,1)}
        65:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(89,1),(91,1),(92,1),(147,1),(200,1),(233,1)}
        66:{1,4,7}:{(42,1),(43,1),(50,1)}
        67:{1,2,5,7}:{(43,1),(47,1),(51,1),(93,1),(147,1)}
        68:{2,5,6}:{(44,1),(45,1),(91,1),(94,1),(233,1)}
        69:{1,5,7}:{(45,1),(46,1),(94,1)}
        70:{1,2,4,6,7}:{(46,1),(47,1),(88,1),(93,1),(95,1),(96,1),(149,1),(152,1),(186,1),(225,1),(242,1)}
        71:{2,3,5}:{(48,1),(49,1),(97,1),(231,1),(233,1)}
        72:{1,3,4,6}:{(48,1),(50,1),(90,1),(97,1),(98,1),(100,1),(146,1),(154,1),(156,1),(203,1),(232,1)}
        73:{1,4,5}:{(49,1),(50,1),(97,1),(203,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(93,1),(98,1),(99,1),(100,1)}
        75:{1,3,4,6}:{(52,1),(53,1),(101,1),(102,1),(179,1),(215,1)}
        76:{2,3,5,6}:{(52,1),(54,1),(102,1),(103,1),(109,1),(157,1),(161,1),(205,1),(206,1),(210,1)}
        77:{1,3,4,5,7}:{(53,1),(56,1),(59,1),(101,1),(105,1),(106,1),(113,1),(162,1),(170,1),(213,1),(239,1)}
        78:{2,4,7}:{(53,1),(54,1),(102,1),(107,1)}
        79:{1,3,5,7}:{(54,1),(58,1),(103,1),(107,1),(108,1),(110,1),(166,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(60,1),(105,1),(109,1),(239,1)}
        81:{2,5,7}:{(56,1),(57,1),(109,1),(110,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(107,1),(110,1),(164,1)}
        83:{1,2,6,7}:{(58,1),(108,1),(210,1)}
        84:{3,4,6}:{(59,1),(60,1),(112,1)}
        85:{2,4,5,7}:{(59,1),(61,1),(112,1),(113,1),(172,1),(216,1)}
        86:{2,3,5,6}:{(60,1),(61,1),(68,1),(109,1),(112,1),(114,1),(117,1),(161,1)}
        87:{1,3,5,7}:{(61,1),(62,1),(69,1),(110,1),(113,1),(114,1),(115,1),(170,1),(220,1),(239,1),(240,1),(244,1)}
        88:{2,4,6,7}:{(62,1),(115,1),(116,1),(119,1),(163,1),(169,1),(172,1),(175,1),(210,1),(219,1),(238,1)}
        89:{2,3,5,7}:{(63,1),(65,1),(71,1),(117,1),(118,1),(170,1)}
        90:{1,3,4,7}:{(63,1),(66,1),(72,1),(118,1),(119,1),(122,1),(174,1),(218,1)}
        91:{2,4,6}:{(64,1),(65,1),(68,1),(117,1),(120,1),(175,1)}
        92:{1,4,5,7}:{(65,1),(66,1),(69,1),(73,1),(118,1),(120,1),(218,1),(240,1)}
        93:{1,2,4,7}:{(66,1),(67,1),(74,1),(119,1),(122,1)}
        94:{1,5,6}:{(68,1),(69,1),(120,1),(240,1)}
        95:{1,2,5,7}:{(69,1),(70,1),(115,1),(123,1),(124,1),(244,1)}
        96:{1,3,6,7}:{(70,1),(116,1),(122,1),(124,1),(177,1),(209,1),(236,1)}
        97:{1,3,5}:{(71,1),(72,1),(73,1),(126,1),(240,1)}
        98:{2,4,6}:{(72,1),(119,1),(126,1),(127,1),(175,1),(181,1)}
        99:{1,2,4,5}:{(73,1),(74,1),(126,1),(128,1),(181,1)}
       100:{1,3,6}:{(74,1),(122,1),(127,1),(128,1)}
       101:{1,3,4,5}:{(75,1),(130,1),(182,1),(202,1),(224,1),(231,1)}
       102:{2,4,6}:{(75,1),(76,1),(78,1),(130,1),(131,1)}
       103:{1,3,5,6}:{(76,1),(79,1),(131,1),(132,1),(138,1),(182,1),(185,1),(187,1)}
       104:{2,3,4,7}:{(78,1),(129,1),(133,1),(134,1),(189,1),(195,1),(228,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(84,1),(135,1),(141,1),(187,1),(194,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(81,1),(130,1),(133,1),(135,1),(136,1),(188,1),(228,1),(243,1)}
       107:{1,4,7}:{(78,1),(79,1),(131,1)}
       108:{1,2,5,7}:{(79,1),(83,1),(132,1),(137,1),(188,1)}
       109:{2,5,6}:{(80,1),(81,1),(135,1),(138,1),(243,1)}
       110:{1,5,7}:{(81,1),(82,1),(138,1)}
       111:{1,2,4,6,7}:{(82,1),(83,1),(88,1),(137,1),(139,1),(140,1),(145,1),(190,1),(193,1),(197,1),(232,1)}
       112:{2,4,6}:{(84,1),(85,1),(86,1),(141,1)}
       113:{1,4,5,7}:{(85,1),(87,1),(141,1),(142,1),(152,1),(193,1),(202,1),(230,1)}
       114:{1,3,5,6}:{(86,1),(87,1),(94,1),(138,1),(141,1),(143,1),(146,1),(187,1),(194,1)}
       115:{2,5,7}:{(87,1),(88,1),(143,1),(233,1),(243,1)}
       116:{2,3,6,7}:{(88,1),(96,1),(140,1),(144,1),(148,1),(189,1),(194,1),(199,1),(227,1)}
       117:{2,3,6}:{(89,1),(91,1),(146,1),(194,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(92,1),(97,1),(146,1),(147,1)}
       119:{2,4,7}:{(90,1),(98,1),(147,1),(148,1)}
       120:{1,4,6}:{(91,1),(92,1),(94,1),(146,1)}
       121:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(99,1),(142,1),(147,1),(149,1),(150,1),(152,1),(200,1),(202,1),(233,1)}
       122:{1,3,7}:{(93,1),(100,1),(148,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(149,1),(151,1),(225,1),(233,1)}
       124:{1,3,5,7}:{(95,1),(96,1),(144,1),(151,1),(152,1)}
       125:{1,2,4,6}:{(98,1),(145,1),(153,1),(154,1),(197,1),(203,1),(232,1)}
       126:{2,5}:{(97,1),(98,1)}
       127:{2,3,6}:{(98,1),(100,1),(148,1),(154,1),(155,1)}
       128:{1,3,5}:{(99,1),(100,1),(155,1),(156,1)}
       129:{2,3,4,6}:{(102,1),(104,1),(157,1),(158,1),(161,1),(206,1),(215,1),(235,1),(238,1)}
       130:{2,4,5}:{(101,1),(102,1),(157,1),(159,1),(205,1),(235,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(159,1)}
       132:{1,2,5,6}:{(103,1),(108,1),(160,1),(205,1),(210,1)}
       133:{2,3,5,7}:{(104,1),(106,1),(157,1),(161,1),(162,1),(170,1)}
       134:{1,3,4,7}:{(104,1),(107,1),(158,1),(162,1),(163,1),(166,1),(209,1),(237,1)}
       135:{2,4,6}:{(105,1),(106,1),(109,1),(161,1),(164,1),(210,1)}
       136:{1,4,5,7}:{(106,1),(107,1),(110,1),(159,1),(162,1),(164,1),(237,1),(244,1)}
       137:{1,2,4,7}:{(107,1),(108,1),(160,1),(163,1),(166,1)}
       138:{1,5,6}:{(109,1),(110,1),(164,1),(244,1)}
       139:{1,2,5,7}:{(110,1),(111,1),(115,1),(167,1),(168,1),(240,1)}
       140:{1,3,6,7}:{(111,1),(116,1),(166,1),(168,1),(174,1),(212,1),(217,1)}
       141:{1,4,6}:{(112,1),(113,1),(114,1),(169,1)}
       142:{2,4,5,7}:{(113,1),(115,1),(169,1),(170,1),(172,1),(216,1)}
       143:{2,5,6}:{(114,1),(115,1),(169,1),(175,1),(210,1)}
       144:{2,3,5,7}:{(115,1),(116,1),(124,1),(168,1),(170,1),(171,1),(172,1)}
       145:{1,2,4,7}:{(119,1),(125,1),(173,1),(174,1),(218,1)}
       146:{1,3,6}:{(117,1),(118,1),(120,1),(175,1)}
       147:{2,5,7}:{(118,1),(119,1),(126,1),(175,1)}
       148:{2,3,7}:{(119,1),(122,1),(127,1),(174,1)}
       149:{1,2,4,6}:{(120,1),(121,1),(123,1),(169,1),(175,1),(177,1),(179,1),(219,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(128,1),(170,1),(176,1),(177,1),(178,1),(220,1)}
       151:{1,3,5,6}:{(123,1),(124,1),(171,1),(177,1),(179,1),(220,1),(236,1),(244,1)}
       152:{1,4,7}:{(124,1),(172,1),(179,1)}
       153:{1,2,5}:{(125,1),(126,1),(180,1),(240,1)}
       154:{1,3,6}:{(125,1),(127,1),(174,1),(180,1)}
       155:{2,3,5}:{(126,1),(127,1),(128,1),(180,1),(181,1)}
       156:{1,3,4}:{(128,1),(181,1)}
       157:{2,3,5}:{(129,1),(130,1),(182,1),(231,1),(243,1)}
       158:{1,3,4,6}:{(129,1),(131,1),(134,1),(182,1),(183,1),(185,1),(187,1),(222,1),(224,1),(241,1),(242,1)}
       159:{1,4,5}:{(130,1),(131,1),(182,1),(241,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(137,1),(183,1),(184,1),(185,1)}
       161:{2,3,6}:{(133,1),(135,1),(187,1),(194,1)}
       162:{1,3,5,7}:{(133,1),(134,1),(136,1),(182,1),(187,1),(188,1)}
       163:{2,4,7}:{(134,1),(183,1),(188,1),(189,1)}
       164:{1,4,6}:{(135,1),(136,1),(138,1),(187,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(139,1),(142,1),(184,1),(188,1),(190,1),(191,1),(193,1),(228,1),(230,1),(243,1)}
       166:{1,3,7}:{(137,1),(185,1),(189,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(143,1),(190,1),(192,1),(197,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(144,1),(192,1),(193,1)}
       169:{2,4,6}:{(141,1),(142,1),(143,1),(194,1)}
       170:{3,5,7}:{(142,1),(194,1),(195,1),(231,1)}
       171:{2,3,5,6}:{(143,1),(144,1),(151,1),(192,1),(194,1),(196,1),(199,1),(227,1),(231,1),(233,1),(243,1)}
       172:{2,4,7}:{(144,1),(152,1),(193,1),(195,1),(196,1)}
       173:{1,2,5,7}:{(145,1),(147,1),(153,1),(197,1),(198,1)}
       174:{1,3,7}:{(145,1),(148,1),(154,1)}
       175:{2,6}:{(146,1),(147,1)}
       176:{2,3,5,7}:{(147,1),(148,1),(150,1),(155,1),(198,1),(199,1),(200,1),(233,1)}
       177:{1,3,6}:{(149,1),(150,1),(194,1),(199,1)}
       178:{1,3,4,7}:{(150,1),(152,1),(156,1),(195,1),(200,1),(201,1)}
       179:{1,4,6}:{(151,1),(152,1),(196,1),(202,1)}
       180:{1,3,5}:{(153,1),(154,1),(155,1),(203,1)}
       181:{2,4}:{(155,1),(156,1),(203,1)}
       182:{1,3,5}:{(157,1),(158,1),(159,1),(205,1),(244,1)}
       183:{2,4,6}:{(158,1),(163,1),(205,1),(206,1),(210,1),(235,1)}
       184:{1,2,4,5}:{(159,1),(160,1),(205,1),(207,1),(235,1)}
       185:{1,3,6}:{(160,1),(166,1),(206,1),(207,1)}
       186:{1,2,4,7}:{(163,1),(204,1),(208,1),(209,1),(237,1)}
       187:{1,3,6}:{(161,1),(162,1),(164,1),(210,1)}
       188:{2,5,7}:{(162,1),(163,1),(205,1),(210,1)}
       189:{2,3,7}:{(163,1),(166,1),(206,1),(209,1)}
       190:{1,2,4,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(212,1),(214,1),(238,1)}
       191:{1,3,5,7}:{(165,1),(166,1),(170,1),(207,1),(211,1),(212,1),(213,1),(239,1)}
       192:{1,3,5,6}:{(167,1),(168,1),(171,1),(212,1),(214,1),(217,1),(239,1),(240,1)}
       193:{1,4,7}:{(168,1),(172,1),(214,1)}
       194:{3,6}:{(169,1),(170,1)}
       195:{3,4,7}:{(170,1),(172,1),(215,1)}
       196:{2,4,6}:{(171,1),(172,1),(179,1),(214,1),(215,1),(216,1)}
       197:{1,2,6}:{(173,1),(175,1),(217,1)}
       198:{1,3,5,7}:{(173,1),(174,1),(176,1),(180,1),(217,1),(218,1),(240,1)}
       199:{2,3,6}:{(175,1),(176,1),(177,1),(217,1),(219,1)}
       200:{2,4,7}:{(176,1),(178,1),(181,1),(218,1),(219,1)}
       201:{1,3,4,6}:{(177,1),(178,1),(179,1),(215,1),(219,1),(220,1)}
       202:{1,4,5}:{(179,1),(216,1),(220,1),(244,1)}
       203:{1,4}:{(180,1),(181,1)}
       204:{1,2,4,6}:{(183,1),(186,1),(221,1),(222,1),(225,1),(241,1),(242,1)}
       205:{2,5}:{(182,1),(183,1)}
       206:{2,3,6}:{(183,1),(185,1),(189,1),(222,1),(223,1)}
       207:{1,3,5}:{(184,1),(185,1),(223,1),(224,1)}
       208:{1,2,5,7}:{(186,1),(188,1),(221,1),(225,1),(226,1)}
       209:{1,3,7}:{(186,1),(189,1),(222,1)}
       210:{2,6}:{(187,1),(188,1)}
       211:{2,3,5,7}:{(188,1),(189,1),(191,1),(223,1),(226,1),(227,1),(228,1),(243,1)}
       212:{1,3,6}:{(190,1),(191,1),(194,1),(227,1)}
       213:{1,3,4,7}:{(191,1),(193,1),(195,1),(224,1),(228,1),(229,1)}
       214:{1,4,6}:{(192,1),(193,1),(196,1),(230,1)}
       215:{3,4,6}:{(194,1),(195,1),(196,1),(231,1)}
       216:{2,4,5}:{(196,1),(202,1),(230,1),(231,1),(233,1),(243,1)}
       217:{1,3,6}:{(197,1),(198,1),(199,1),(232,1)}
       218:{1,4,7}:{(198,1),(200,1),(203,1),(232,1)}
       219:{2,4,6}:{(199,1),(200,1),(201,1),(232,1),(233,1)}
       220:{1,3,5}:{(201,1),(202,1),(231,1),(233,1)}
       221:{1,2,5}:{(204,1),(205,1),(234,1),(244,1)}
       222:{1,3,6}:{(204,1),(206,1),(209,1),(234,1)}
       223:{2,3,5}:{(205,1),(206,1),(207,1),(234,1),(235,1)}
       224:{1,3,4}:{(207,1),(235,1)}
       225:{1,2,6}:{(208,1),(210,1),(236,1)}
       226:{1,3,5,7}:{(208,1),(209,1),(211,1),(234,1),(236,1),(237,1),(244,1)}
       227:{2,3,6}:{(210,1),(211,1),(212,1),(236,1),(238,1)}
       228:{2,4,7}:{(211,1),(213,1),(235,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(212,1),(213,1),(214,1),(215,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(216,1),(239,1),(240,1)}
       231:{3,5}:{(215,1),(216,1)}
       232:{1,4,6}:{(217,1),(218,1),(219,1),(240,1)}
       233:{2,5}:{(219,1),(220,1),(240,1)}
       234:{1,3,5}:{(221,1),(222,1),(223,1),(241,1)}
       235:{2,4}:{(223,1),(224,1),(241,1)}
       236:{1,3,6}:{(225,1),(226,1),(227,1),(242,1)}
       237:{1,4,7}:{(226,1),(228,1),(241,1),(242,1)}
       238:{2,4,6}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(231,1),(243,1)}
       240:{1,5}:{(232,1),(233,1)}
       241:{1,4}:{(234,1),(235,1)}
       242:{1,4,6}:{(236,1),(237,1),(238,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1649 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1650 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1651 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1652 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1653 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1654 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1655 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1656 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1657 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1658 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1659 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1660 :   0:{2,3,4,6,7}:{(1,1),(2,1),(18,1),(23,1),(42,1),(62,1),(93,1),(106,1),(108,1),(149,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(28,1),(33,1),(73,1),(77,1),(79,1),(87,1),(129,1),(135,1),(138,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(40,1),(86,1),(174,1),(182,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(40,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(14,1),(46,1),(52,1),(91,1),(105,1),(147,1),(150,1),(152,1),(157,1),(241,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(52,1),(53,1),(157,1),(164,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(54,1),(115,1),(156,1),(204,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(58,1),(108,1),(110,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(93,1),(148,1)}
         9:{1,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(18,1),(21,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(24,1),(25,1),(28,1),(68,1),(73,1),(121,1),(123,1),(129,1),(173,1),(176,1),(179,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(119,1),(133,1),(172,1),(182,1)}
        13:{1,2,4,6,7}:{(5,1),(24,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{2,3,6,7}:{(5,1),(28,1),(30,1),(79,1),(131,1),(189,1),(214,1)}
        15:{2,5,7}:{(5,1),(6,1),(31,1),(182,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(31,1),(33,1),(79,1),(138,1),(140,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(73,1),(128,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{3,4,5,7}:{(8,1),(36,1),(40,1),(121,1),(174,1)}
        20:{2,5,6,7}:{(9,1),(31,1),(37,1),(86,1),(143,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(33,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(10,1),(35,1),(38,1),(40,1),(86,1),(192,1)}
        23:{3,4,6,7}:{(10,1),(36,1),(40,1)}
        24:{2,4,6,7}:{(11,1),(42,1),(43,1),(93,1),(94,1),(157,1),(200,1),(203,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(43,1),(44,1),(45,1),(95,1),(156,1),(196,1),(204,1)}
        26:{2,3,5,6}:{(12,1),(44,1),(46,1),(99,1),(152,1),(154,1)}
        27:{2,4,5,7}:{(12,1),(45,1),(46,1),(47,1),(52,1),(104,1)}
        28:{1,3,6,7}:{(13,1),(14,1),(42,1),(48,1),(102,1),(159,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(115,1),(169,1),(196,1),(204,1),(227,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(48,1),(51,1),(52,1),(54,1),(227,1),(241,1)}
        31:{2,5,6}:{(15,1),(16,1),(53,1),(167,1)}
        32:{2,4,5,7}:{(15,1),(17,1),(52,1),(53,1),(54,1),(104,1)}
        33:{1,4,6}:{(16,1),(17,1),(18,1),(53,1)}
        34:{1,3,4,5,7}:{(17,1),(19,1),(54,1),(56,1),(57,1),(61,1),(101,1),(109,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        35:{2,4,5,6}:{(18,1),(22,1),(55,1),(58,1),(110,1),(148,1),(210,1)}
        36:{3,4,6}:{(18,1),(19,1),(58,1)}
        37:{2,4,6,7}:{(20,1),(21,1),(53,1),(59,1),(60,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(55,1),(59,1),(61,1),(115,1),(168,1)}
        39:{1,3,4,6,7}:{(21,1),(23,1),(56,1),(60,1),(61,1),(62,1),(112,1),(114,1),(168,1),(211,1)}
        40:{3,5,7}:{(22,1),(23,1),(58,1),(211,1)}
        41:{2,3,5,6,7}:{(26,1),(63,1),(64,1),(119,1),(171,1),(172,1)}
        42:{2,3,6,7}:{(24,1),(28,1),(65,1),(123,1),(131,1),(143,1),(218,1)}
        43:{2,5,7}:{(24,1),(25,1),(66,1),(182,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(66,1),(68,1),(123,1),(179,1),(181,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(67,1),(68,1),(73,1),(128,1)}
        46:{2,4,6}:{(26,1),(27,1),(68,1),(71,1)}
        47:{3,4,5,7}:{(27,1),(71,1),(77,1),(119,1),(133,1)}
        48:{1,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(72,1),(73,1)}
        49:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(74,1),(140,1),(181,1),(182,1),(185,1),(191,1),(220,1),(221,1)}
        50:{1,2,4,5,7}:{(29,1),(32,1),(67,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(130,1),(139,1),(180,1),(182,1),(184,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(72,1),(76,1),(79,1),(131,1),(133,1),(182,1),(220,1),(237,1),(238,1)}
        52:{2,4,7}:{(30,1),(73,1),(76,1),(77,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(77,1),(79,1),(133,1)}
        55:{1,4,5,6}:{(33,1),(35,1),(38,1),(78,1),(81,1),(128,1),(140,1),(190,1)}
        56:{1,3,4,6}:{(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(136,1),(138,1),(190,1),(225,1)}
        57:{2,4,5,7}:{(34,1),(80,1),(82,1),(83,1),(86,1),(130,1),(139,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        58:{3,5,6}:{(35,1),(36,1),(40,1),(174,1),(225,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(78,1),(84,1),(86,1),(141,1)}
        60:{3,6,7}:{(37,1),(79,1),(84,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(40,1),(81,1),(84,1),(86,1)}
        62:{2,4,6,7}:{(39,1),(82,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(88,1),(89,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(46,1),(89,1),(90,1),(91,1)}
        65:{2,3,5,7}:{(42,1),(43,1),(48,1),(92,1),(93,1),(95,1),(169,1),(211,1)}
        66:{2,5,6}:{(43,1),(44,1),(94,1),(203,1)}
        67:{2,4,5,7}:{(43,1),(45,1),(93,1),(94,1),(95,1),(148,1)}
        68:{1,4,6}:{(44,1),(45,1),(46,1),(94,1)}
        69:{1,3,4,5,7}:{(45,1),(47,1),(95,1),(97,1),(98,1),(101,1),(146,1),(153,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        70:{2,4,5,6}:{(46,1),(90,1),(96,1),(99,1),(104,1),(154,1),(231,1)}
        71:{3,4,6}:{(46,1),(47,1),(99,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(51,1),(92,1),(100,1),(102,1),(156,1),(159,1),(204,1),(232,1)}
        73:{1,4,7}:{(48,1),(52,1),(93,1),(100,1)}
        74:{1,2,4,6}:{(49,1),(50,1),(53,1),(94,1),(100,1),(102,1),(111,1),(155,1),(157,1),(167,1),(203,1),(210,1),(231,1)}
        75:{1,3,5,7}:{(50,1),(54,1),(95,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,6}:{(51,1),(52,1),(100,1),(104,1),(105,1),(243,1)}
        77:{3,4,7}:{(52,1),(54,1),(105,1),(241,1)}
        78:{2,4,5,6}:{(53,1),(55,1),(59,1),(104,1),(107,1),(110,1),(165,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{2,3,5,7}:{(54,1),(57,1),(106,1),(108,1),(109,1),(162,1),(211,1),(233,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(58,1),(61,1),(107,1),(110,1),(156,1)}
        82:{2,4,6}:{(56,1),(57,1),(108,1),(110,1),(111,1),(167,1)}
        83:{1,4,5,7}:{(57,1),(109,1),(111,1),(115,1),(158,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(60,1),(107,1),(112,1)}
        85:{2,3,6,7}:{(60,1),(62,1),(108,1),(113,1),(114,1),(211,1)}
        86:{2,5,7}:{(61,1),(62,1),(110,1),(115,1)}
        87:{1,4,6,7}:{(62,1),(111,1),(114,1),(115,1),(168,1)}
        88:{2,5,6,7}:{(63,1),(66,1),(116,1),(172,1),(214,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(68,1),(116,1),(117,1)}
        90:{2,4,5,7}:{(64,1),(70,1),(117,1),(119,1),(172,1),(235,1)}
        91:{3,4,6,7}:{(64,1),(71,1),(119,1)}
        92:{2,3,5,6}:{(65,1),(66,1),(72,1),(120,1),(123,1),(131,1),(174,1),(182,1),(191,1),(224,1),(225,1)}
        93:{2,4,7}:{(65,1),(73,1),(120,1),(121,1)}
        94:{2,4,6}:{(66,1),(67,1),(68,1),(123,1)}
        95:{3,5,7}:{(67,1),(121,1),(123,1),(174,1)}
        96:{1,4,5,6}:{(68,1),(70,1),(117,1),(122,1),(125,1),(128,1),(181,1),(219,1)}
        97:{1,3,4,6}:{(68,1),(69,1),(71,1),(123,1),(125,1),(126,1),(177,1),(179,1),(219,1),(238,1)}
        98:{2,4,5,7}:{(69,1),(124,1),(126,1),(127,1),(130,1),(172,1),(180,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
        99:{3,5,6}:{(70,1),(71,1),(119,1),(133,1),(238,1)}
       100:{1,4,6}:{(72,1),(73,1),(76,1),(120,1),(128,1),(239,1)}
       101:{1,3,4,7}:{(73,1),(75,1),(77,1),(121,1),(129,1),(130,1),(239,1),(240,1),(244,1)}
       102:{1,3,6}:{(74,1),(75,1),(79,1),(123,1),(131,1),(225,1),(238,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(139,1),(180,1),(182,1),(189,1),(218,1),(224,1),(237,1)}
       104:{2,4,5}:{(76,1),(128,1),(133,1),(182,1)}
       105:{3,4,6}:{(76,1),(77,1),(79,1),(133,1),(238,1),(244,1)}
       106:{2,3,4,7}:{(77,1),(80,1),(130,1),(134,1),(135,1),(141,1),(218,1),(240,1)}
       107:{3,5,6}:{(78,1),(79,1),(84,1),(133,1),(136,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(225,1)}
       109:{1,3,5,7}:{(80,1),(83,1),(135,1),(138,1),(139,1),(187,1)}
       110:{2,5,6}:{(81,1),(82,1),(86,1),(140,1),(182,1)}
       111:{1,4,6}:{(82,1),(83,1),(138,1),(140,1)}
       112:{3,4,7}:{(84,1),(136,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(137,1),(141,1),(142,1)}
       114:{1,3,6,7}:{(85,1),(87,1),(138,1),(142,1),(143,1)}
       115:{1,5,7}:{(86,1),(87,1),(140,1)}
       116:{2,4,6,7}:{(88,1),(89,1),(94,1),(144,1),(145,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(96,1),(144,1),(146,1),(196,1),(226,1)}
       118:{1,3,4,6,7}:{(89,1),(91,1),(97,1),(145,1),(146,1),(147,1),(193,1),(195,1),(226,1),(241,1)}
       119:{3,5,7}:{(90,1),(91,1),(99,1),(241,1)}
       120:{2,4,6}:{(92,1),(93,1),(100,1),(148,1),(149,1),(234,1)}
       121:{3,4,7}:{(93,1),(95,1),(149,1),(211,1)}
       122:{2,4,5,6}:{(94,1),(96,1),(144,1),(148,1),(151,1),(154,1),(201,1)}
       123:{3,6}:{(94,1),(95,1)}
       124:{2,3,5,7}:{(95,1),(98,1),(150,1),(152,1),(153,1),(198,1),(241,1),(242,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(151,1),(154,1),(156,1)}
       126:{2,4,6}:{(97,1),(98,1),(152,1),(154,1),(155,1),(203,1)}
       127:{1,4,5,7}:{(98,1),(153,1),(155,1),(158,1),(196,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(104,1),(148,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(105,1),(149,1),(156,1),(157,1)}
       130:{2,4,7}:{(101,1),(103,1),(157,1),(158,1),(234,1),(243,1)}
       131:{2,3,6}:{(102,1),(103,1),(157,1),(159,1),(167,1),(203,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,5}:{(104,1),(105,1)}
       134:{2,3,4,6}:{(105,1),(106,1),(108,1),(157,1),(162,1),(163,1),(165,1),(230,1),(243,1)}
       135:{1,3,4,7}:{(106,1),(109,1),(158,1),(163,1),(164,1),(168,1),(206,1),(211,1)}
       136:{3,4,6}:{(107,1),(112,1),(161,1),(165,1)}
       137:{2,3,5,6}:{(107,1),(108,1),(110,1),(113,1),(162,1),(165,1),(166,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(167,1)}
       139:{2,5,7}:{(109,1),(164,1),(167,1),(208,1)}
       140:{1,5,6}:{(110,1),(111,1),(115,1),(204,1)}
       141:{2,4,7}:{(112,1),(113,1),(165,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(166,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(114,1),(167,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(117,1),(122,1),(170,1),(172,1),(212,1)}
       145:{3,6,7}:{(116,1),(123,1),(170,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(119,1),(125,1),(170,1),(172,1)}
       147:{2,4,6,7}:{(118,1),(126,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{2,4,5}:{(120,1),(128,1),(174,1),(182,1)}
       149:{3,4,6}:{(120,1),(121,1),(123,1),(174,1),(225,1),(240,1)}
       150:{2,3,4,7}:{(121,1),(124,1),(130,1),(175,1),(176,1),(189,1),(212,1),(244,1)}
       151:{3,5,6}:{(122,1),(123,1),(170,1),(174,1),(177,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(238,1)}
       153:{1,3,5,7}:{(124,1),(127,1),(176,1),(179,1),(180,1),(216,1)}
       154:{2,5,6}:{(125,1),(126,1),(172,1),(181,1),(182,1)}
       155:{1,4,6}:{(126,1),(127,1),(179,1),(181,1)}
       156:{1,3,5}:{(128,1),(129,1),(133,1),(174,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,4,7}:{(130,1),(132,1),(183,1),(239,1)}
       159:{1,3,6}:{(131,1),(132,1),(183,1),(185,1)}
       160:{1,2,5,7}:{(132,1),(139,1),(180,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,3,5}:{(133,1),(134,1),(182,1),(186,1),(187,1)}
       163:{1,3,4,6}:{(134,1),(135,1),(138,1),(183,1),(187,1),(188,1),(190,1),(222,1),(225,1),(239,1),(240,1)}
       164:{2,4,7}:{(135,1),(139,1),(188,1),(189,1)}
       165:{2,4,6}:{(136,1),(137,1),(141,1),(186,1),(190,1)}
       166:{1,3,5,6}:{(137,1),(138,1),(140,1),(142,1),(187,1),(190,1),(191,1),(225,1)}
       167:{2,6}:{(138,1),(139,1)}
       168:{1,4,7}:{(141,1),(142,1),(190,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(145,1),(151,1),(193,1)}
       171:{2,3,6,7}:{(145,1),(147,1),(152,1),(194,1),(195,1),(241,1)}
       172:{2,5,7}:{(146,1),(147,1),(154,1),(196,1)}
       173:{1,4,6,7}:{(147,1),(155,1),(195,1),(196,1),(226,1)}
       174:{3,5}:{(148,1),(149,1)}
       175:{2,3,4,6}:{(149,1),(150,1),(152,1),(157,1),(198,1),(199,1),(201,1),(209,1),(234,1)}
       176:{1,3,4,7}:{(150,1),(153,1),(158,1),(199,1),(200,1),(206,1),(226,1),(241,1)}
       177:{3,4,6}:{(151,1),(193,1),(197,1),(201,1)}
       178:{2,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(201,1),(202,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(203,1)}
       180:{2,5,7}:{(153,1),(200,1),(203,1),(229,1)}
       181:{1,5,6}:{(154,1),(155,1),(196,1),(204,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,4,7}:{(158,1),(160,1),(164,1),(200,1),(205,1),(206,1)}
       185:{1,2,6}:{(159,1),(160,1),(167,1),(203,1)}
       186:{2,4,5}:{(161,1),(162,1),(165,1),(207,1),(243,1)}
       187:{1,3,5}:{(162,1),(163,1),(204,1),(207,1),(208,1),(233,1)}
       188:{2,4,6}:{(163,1),(164,1),(167,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(206,1),(209,1),(211,1)}
       190:{1,4,6}:{(165,1),(166,1),(168,1),(207,1),(210,1)}
       191:{2,5,6}:{(166,1),(167,1),(169,1),(208,1),(210,1)}
       192:{2,4,7}:{(168,1),(169,1),(210,1),(211,1)}
       193:{3,4,7}:{(170,1),(177,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(178,1),(212,1),(213,1)}
       195:{1,3,6,7}:{(171,1),(173,1),(179,1),(213,1),(214,1)}
       196:{1,5,7}:{(172,1),(173,1),(181,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,3,5}:{(174,1),(175,1),(182,1),(215,1),(216,1)}
       199:{1,3,4,6}:{(175,1),(176,1),(179,1),(183,1),(216,1),(217,1),(219,1),(222,1),(238,1),(239,1),(244,1)}
       200:{2,4,7}:{(176,1),(180,1),(217,1),(218,1)}
       201:{2,4,6}:{(177,1),(178,1),(212,1),(215,1),(219,1)}
       202:{1,3,5,6}:{(178,1),(179,1),(181,1),(213,1),(216,1),(219,1),(220,1),(238,1)}
       203:{2,6}:{(179,1),(180,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(188,1),(217,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(184,1),(189,1),(218,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(222,1),(224,1),(225,1)}
       210:{2,4,6}:{(190,1),(191,1),(192,1),(223,1),(225,1)}
       211:{3,7}:{(192,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(201,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(202,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(195,1),(203,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(201,1),(228,1),(234,1)}
       216:{1,3,5}:{(198,1),(199,1),(204,1),(228,1),(229,1),(242,1)}
       217:{2,4,6}:{(199,1),(200,1),(203,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(206,1),(230,1),(241,1)}
       219:{1,4,6}:{(201,1),(202,1),(226,1),(228,1),(231,1)}
       220:{2,5,6}:{(202,1),(203,1),(227,1),(229,1),(231,1)}
       221:{1,2,5}:{(204,1),(205,1),(208,1),(229,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(209,1),(230,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{2,3,5}:{(208,1),(209,1),(232,1),(233,1),(234,1)}
       225:{3,6}:{(210,1),(211,1),(233,1)}
       226:{1,4,7}:{(212,1),(213,1),(219,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(220,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(219,1),(236,1),(239,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(222,1),(237,1),(238,1)}
       231:{2,4,6}:{(219,1),(220,1),(235,1),(236,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(224,1),(237,1),(239,1)}
       233:{3,5}:{(223,1),(225,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(231,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       237:{2,3,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1661 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(176,1),(179,1),(189,1),(203,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(28,1),(240,1),(241,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(143,1),(160,1),(165,1),(234,1),(247,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(67,1),(136,1),(222,1),(233,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(13,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(45,1),(284,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(120,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(120,1),(208,1),(291,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(45,1),(105,1),(121,1),(279,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(98,1),(176,1),(203,1),(210,1),(263,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(266,1),(278,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(143,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(26,1),(28,1),(66,1),(74,1),(75,1),(143,1),(234,1),(235,1),(240,1),(319,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(28,1)}
        14:{1,2,3,6,7}:{(5,1),(27,1),(29,1),(71,1),(151,1),(236,1),(242,1),(325,1),(326,1),(382,1)}
        15:{1,2,3,5,6}:{(5,1),(28,1),(29,1),(30,1),(72,1),(77,1),(79,1),(150,1),(151,1),(238,1),(241,1),(320,1),(326,1),(383,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(32,1),(34,1),(253,1),(331,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(32,1),(34,1),(85,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(71,1),(92,1),(143,1),(160,1),(167,1),(247,1),(256,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(321,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(305,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(136,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(176,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(16,1),(42,1),(45,1),(47,1),(281,1),(356,1)}
        25:{1,3,4,6}:{(11,1),(13,1),(17,1),(43,1),(45,1),(47,1),(105,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(49,1),(97,1),(105,1),(279,1),(284,1)}
        27:{1,2,4,6,7}:{(13,1),(14,1),(46,1),(50,1),(52,1),(112,1),(197,1),(275,1),(284,1),(360,1)}
        28:{1,2,5}:{(13,1),(47,1)}
        29:{1,2,3,5,7}:{(14,1),(15,1),(50,1),(52,1),(104,1),(113,1),(192,1),(283,1),(356,1),(401,1)}
        30:{1,2,4,6}:{(15,1),(51,1),(52,1),(53,1),(105,1),(186,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(120,1),(123,1),(180,1),(189,1),(264,1)}
        32:{2,3,6}:{(16,1),(18,1),(45,1)}
        33:{2,3,4,6,7}:{(17,1),(46,1),(55,1),(57,1),(115,1),(120,1),(122,1),(194,1),(202,1),(275,1),(397,1),(400,1),(421,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(55,1),(59,1),(120,1),(291,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(105,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(176,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(177,1),(266,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(67,1),(69,1),(313,1),(375,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(67,1),(69,1),(136,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(143,1),(219,1),(224,1),(234,1),(307,1)}
        45:{1,3,6}:{(24,1),(26,1),(32,1),(67,1)}
        46:{1,3,4,6,7}:{(25,1),(27,1),(33,1),(68,1),(71,1),(73,1),(80,1),(143,1),(145,1),(151,1),(154,1),(239,1),(318,1),(382,1),(384,1),(415,1)}
        47:{1,3,5}:{(25,1),(28,1),(34,1),(69,1),(74,1)}
        48:{1,2,4,6,7}:{(26,1),(35,1),(71,1),(75,1),(133,1),(143,1),(318,1),(319,1),(325,1)}
        49:{1,2,5,6}:{(26,1),(28,1),(36,1),(72,1),(75,1),(134,1),(321,1)}
        50:{1,2,5,7}:{(27,1),(28,1),(73,1),(77,1),(317,1),(385,1)}
        51:{1,2,4,5}:{(28,1),(30,1),(74,1),(79,1),(147,1),(385,1),(416,1)}
        52:{1,2,4,7}:{(29,1),(30,1),(80,1),(143,1),(230,1),(415,1)}
        53:{1,3,4,6}:{(30,1),(79,1),(80,1),(81,1),(151,1),(320,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(32,1),(70,1),(83,1),(85,1),(163,1),(233,1)}
        55:{2,3,6,7}:{(32,1),(35,1),(71,1),(84,1),(167,1),(331,1)}
        56:{2,3,5,6}:{(32,1),(34,1),(36,1),(72,1),(84,1),(85,1),(91,1)}
        57:{2,3,5,7}:{(33,1),(34,1),(73,1),(86,1),(87,1),(245,1),(317,1),(414,1)}
        58:{2,4,5}:{(34,1),(74,1),(85,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(143,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(144,1),(169,1),(232,1),(249,1),(332,1),(388,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(219,1),(305,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(176,1),(269,1),(345,1)}
        67:{2,3,6}:{(42,1),(45,1),(97,1)}
        68:{2,3,4,6,7}:{(43,1),(46,1),(98,1),(100,1),(115,1),(176,1),(178,1),(194,1),(263,1),(275,1),(363,1),(366,1),(405,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(45,1),(54,1),(97,1),(103,1),(105,1),(177,1),(279,1)}
        71:{1,3,6,7}:{(45,1),(48,1),(55,1),(98,1),(104,1),(356,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(49,1),(56,1),(99,1),(104,1),(105,1)}
        73:{1,3,5,7}:{(46,1),(47,1),(50,1),(57,1),(100,1),(106,1),(107,1),(354,1),(403,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(105,1)}
        75:{1,2,5,7}:{(48,1),(49,1),(59,1),(104,1),(173,1),(354,1)}
        76:{1,2,4,5,6}:{(49,1),(51,1),(60,1),(105,1),(110,1),(111,1),(112,1),(131,1),(174,1),(186,1),(187,1),(212,1),(273,1),(277,1),(278,1),(341,1),(357,1),(364,1),(398,1),(402,1)}
        77:{1,2,5,6}:{(50,1),(106,1),(112,1),(278,1),(284,1)}
        78:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(107,1),(112,1),(113,1),(189,1)}
        79:{1,3,5}:{(51,1),(53,1),(114,1)}
        80:{1,3,4,7}:{(52,1),(53,1),(113,1),(115,1),(356,1)}
        81:{2,3,4,6}:{(53,1),(114,1),(115,1),(116,1),(186,1),(194,1),(292,1),(297,1),(346,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(55,1),(102,1),(117,1),(120,1),(199,1),(202,1),(264,1),(275,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(205,1),(278,1)}
        84:{2,3,5,7}:{(55,1),(56,1),(59,1),(104,1),(120,1),(126,1)}
        85:{2,4,6}:{(56,1),(58,1),(105,1),(120,1),(121,1)}
        86:{2,3,5,6}:{(57,1),(106,1),(122,1),(194,1),(205,1),(278,1)}
        87:{2,4,5,7}:{(57,1),(58,1),(107,1),(120,1),(122,1),(123,1),(421,1),(423,1)}
        88:{3,4,5}:{(58,1),(121,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(120,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(121,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(185,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(186,1),(212,1),(278,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(67,1),(70,1),(134,1)}
        98:{2,3,6,7}:{(67,1),(71,1),(133,1),(135,1),(302,1),(375,1)}
        99:{2,3,5,6}:{(67,1),(69,1),(72,1),(134,1),(135,1),(136,1),(217,1)}
       100:{2,3,5,7}:{(68,1),(69,1),(73,1),(137,1),(138,1),(305,1),(317,1),(390,1)}
       101:{2,4,5}:{(69,1),(74,1),(136,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(71,1),(82,1),(133,1),(140,1),(143,1),(219,1),(225,1),(302,1),(307,1),(318,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(321,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(75,1),(84,1),(135,1),(143,1)}
       105:{1,4,6}:{(72,1),(74,1),(85,1),(136,1),(143,1)}
       106:{1,3,5,6}:{(73,1),(77,1),(86,1),(137,1),(145,1),(151,1),(239,1),(321,1)}
       107:{1,4,5,7}:{(73,1),(74,1),(87,1),(138,1),(143,1),(145,1),(415,1),(416,1)}
       108:{1,3,4,5}:{(74,1),(79,1),(88,1),(139,1),(144,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(77,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,5,7}:{(75,1),(76,1),(90,1),(143,1),(148,1),(149,1),(172,1),(216,1),(228,1),(230,1),(257,1),(316,1),(317,1),(319,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       111:{1,3,5,6}:{(76,1),(79,1),(91,1),(144,1),(149,1),(150,1),(151,1),(217,1),(320,1),(388,1),(412,1)}
       112:{1,2,4,6}:{(77,1),(78,1),(145,1),(151,1),(233,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(80,1),(151,1),(152,1)}
       114:{2,3,5}:{(79,1),(81,1),(147,1),(153,1)}
       115:{2,3,4,7}:{(80,1),(81,1),(152,1),(154,1),(230,1),(331,1),(375,1)}
       116:{1,3,4,6}:{(81,1),(153,1),(154,1),(155,1),(231,1),(239,1),(320,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(245,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(85,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(159,1),(167,1),(236,1),(245,1),(317,1),(409,1),(411,1),(424,1)}
       120:{2,4,7}:{(84,1),(85,1),(143,1),(160,1)}
       121:{3,4,6}:{(85,1),(88,1),(91,1),(160,1)}
       122:{2,4,6}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,5,7}:{(87,1),(88,1),(160,1),(163,1),(245,1),(425,1),(426,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(161,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(160,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(161,1),(168,1),(169,1),(388,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(230,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(231,1),(321,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(305,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(98,1),(102,1),(173,1),(176,1),(345,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,7}:{(98,1),(99,1),(104,1),(173,1),(176,1),(260,1)}
       136:{2,4,6}:{(99,1),(101,1),(105,1),(176,1),(177,1)}
       137:{2,3,5,6}:{(100,1),(106,1),(178,1),(194,1),(266,1),(278,1)}
       138:{2,4,5,7}:{(100,1),(101,1),(107,1),(176,1),(178,1),(179,1),(405,1),(407,1)}
       139:{3,4,5}:{(101,1),(177,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(105,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(184,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,7}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,6}:{(105,1),(108,1),(111,1),(121,1),(177,1),(185,1),(186,1),(402,1),(406,1),(422,1)}
       145:{1,4,6}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(123,1),(179,1),(185,1),(188,1),(189,1),(274,1)}
       147:{2,4,5}:{(108,1),(114,1),(186,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(112,1),(125,1),(184,1),(191,1),(214,1),(259,1),(275,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,5,7}:{(110,1),(111,1),(126,1),(185,1),(191,1),(192,1),(260,1),(356,1),(404,1),(420,1)}
       150:{2,3,5,6}:{(111,1),(114,1),(186,1),(192,1),(193,1),(194,1),(212,1),(278,1),(292,1),(341,1),(346,1)}
       151:{1,3,6}:{(112,1),(113,1),(194,1)}
       152:{2,3,5,7}:{(113,1),(114,1),(115,1),(189,1),(194,1),(195,1)}
       153:{1,3,5}:{(114,1),(116,1),(190,1),(196,1)}
       154:{1,3,4,7}:{(115,1),(116,1),(195,1),(197,1),(276,1),(356,1)}
       155:{1,2,4,6}:{(116,1),(196,1),(197,1),(198,1),(284,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(120,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(121,1),(200,1),(205,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(122,1),(184,1),(201,1),(202,1),(421,1)}
       160:{3,4,7}:{(120,1),(121,1),(126,1)}
       161:{2,3,4,6}:{(121,1),(124,1),(127,1),(186,1),(203,1),(204,1),(346,1),(406,1)}
       162:{2,4,5,6}:{(122,1),(187,1),(201,1),(205,1),(278,1)}
       163:{3,4,6}:{(122,1),(123,1),(205,1)}
       164:{2,3,4,5,7}:{(123,1),(124,1),(189,1),(203,1),(206,1),(207,1),(289,1),(350,1),(421,1),(423,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(204,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(203,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(204,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(276,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(136,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(218,1),(236,1),(302,1),(305,1),(317,1),(337,1),(387,1),(391,1)}
       176:{2,4,7}:{(135,1),(136,1),(143,1),(219,1)}
       177:{3,4,6}:{(136,1),(139,1),(217,1),(219,1)}
       178:{2,4,6}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,5,7}:{(138,1),(139,1),(219,1),(222,1),(305,1),(417,1),(418,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(220,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(143,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(144,1),(158,1),(217,1),(226,1),(227,1),(232,1),(304,1),(309,1),(376,1),(412,1)}
       184:{1,4,6,7}:{(142,1),(143,1),(145,1),(159,1),(218,1),(228,1),(415,1)}
       185:{1,3,4,7}:{(143,1),(144,1),(149,1),(160,1),(219,1),(230,1),(415,1),(417,1),(425,1)}
       186:{2,4,6}:{(144,1),(147,1),(150,1),(230,1),(231,1)}
       187:{1,4,5,6}:{(145,1),(162,1),(221,1),(228,1),(232,1),(321,1)}
       188:{1,3,4,6}:{(145,1),(146,1),(151,1),(163,1),(222,1),(232,1),(233,1)}
       189:{2,4,5,7}:{(146,1),(147,1),(152,1),(230,1),(233,1),(234,1),(317,1)}
       190:{1,4,5}:{(147,1),(153,1),(231,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(151,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,5,7}:{(149,1),(150,1),(230,1),(236,1),(237,1),(257,1),(317,1),(331,1),(371,1),(375,1)}
       193:{1,3,5,6}:{(150,1),(153,1),(231,1),(237,1),(238,1),(239,1),(320,1),(321,1)}
       194:{2,3,6}:{(151,1),(152,1),(233,1),(239,1)}
       195:{1,3,5,7}:{(152,1),(153,1),(154,1),(234,1),(239,1),(240,1)}
       196:{1,2,5}:{(153,1),(155,1)}
       197:{1,2,4,7}:{(154,1),(155,1),(240,1),(242,1)}
       198:{1,2,3,6}:{(155,1),(241,1),(242,1),(320,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(160,1),(244,1),(245,1)}
       201:{2,4,5,7}:{(159,1),(162,1),(228,1),(245,1),(317,1)}
       202:{3,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(245,1),(424,1),(425,1)}
       203:{2,3,4,7}:{(160,1),(161,1),(168,1),(230,1),(247,1),(375,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(165,1),(169,1),(231,1),(247,1),(248,1),(320,1)}
       205:{3,5,6}:{(162,1),(163,1),(245,1)}
       206:{2,3,4,6}:{(163,1),(164,1),(233,1),(250,1),(251,1),(378,1),(413,1)}
       207:{1,3,4,5,7}:{(164,1),(165,1),(234,1),(247,1),(251,1),(252,1),(323,1),(329,1),(415,1),(416,1),(417,1),(418,1)}
       208:{2,4,5}:{(165,1),(248,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(245,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(247,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(248,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(176,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(177,1),(260,1)}
       218:{2,4,6,7}:{(175,1),(176,1),(178,1),(184,1),(262,1),(263,1),(405,1)}
       219:{3,4,7}:{(176,1),(177,1),(260,1)}
       220:{2,3,4,6}:{(177,1),(180,1),(186,1),(261,1),(264,1),(265,1),(292,1),(422,1)}
       221:{2,4,5,6}:{(178,1),(187,1),(262,1),(266,1),(278,1)}
       222:{3,4,6}:{(178,1),(179,1),(266,1)}
       223:{2,3,4,5,7}:{(179,1),(180,1),(189,1),(264,1),(267,1),(268,1),(296,1),(343,1),(405,1),(407,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(265,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(185,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(186,1),(261,1),(272,1),(273,1),(278,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(187,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(202,1),(263,1),(274,1),(275,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(276,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(276,1)}
       232:{1,3,5,6}:{(187,1),(188,1),(205,1),(266,1),(274,1),(278,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(278,1),(279,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(276,1),(279,1),(354,1)}
       235:{1,2,4,5}:{(190,1),(196,1),(208,1),(269,1),(277,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(275,1),(282,1),(300,1),(394,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(276,1),(282,1),(283,1),(354,1),(356,1)}
       238:{1,2,5,6}:{(193,1),(196,1),(212,1),(277,1),(283,1),(284,1),(341,1)}
       239:{1,3,6}:{(194,1),(195,1),(279,1),(284,1)}
       240:{1,2,5,7}:{(195,1),(196,1),(197,1),(284,1)}
       241:{1,2,3,5}:{(196,1),(198,1),(281,1),(286,1)}
       242:{1,2,3,7}:{(197,1),(198,1),(356,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,5,7}:{(201,1),(202,1),(205,1)}
       246:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(210,1),(275,1),(289,1),(290,1),(298,1),(397,1),(421,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(211,1),(276,1),(291,1),(356,1)}
       248:{2,4,6}:{(204,1),(208,1),(212,1),(291,1),(292,1)}
       249:{3,4,5,6}:{(205,1),(288,1),(293,1),(422,1)}
       250:{2,3,5,6}:{(205,1),(206,1),(278,1),(289,1),(293,1),(294,1)}
       251:{1,3,4,6}:{(206,1),(207,1),(279,1),(294,1),(295,1),(358,1),(402,1),(406,1)}
       252:{2,4,5,7}:{(207,1),(208,1),(291,1),(295,1),(296,1),(362,1),(405,1),(407,1)}
       253:{2,3,5}:{(208,1),(281,1),(292,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(289,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(291,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(219,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(220,1),(227,1),(303,1),(304,1),(412,1)}
       262:{2,4,5,7}:{(218,1),(221,1),(228,1),(305,1),(317,1)}
       263:{3,4,6,7}:{(218,1),(219,1),(222,1),(302,1),(305,1),(391,1),(417,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(230,1),(303,1),(307,1),(331,1),(425,1)}
       265:{1,3,4,6}:{(220,1),(224,1),(231,1),(304,1),(307,1),(308,1),(320,1)}
       266:{3,5,6}:{(221,1),(222,1),(305,1)}
       267:{2,3,4,6}:{(222,1),(223,1),(233,1),(310,1),(311,1),(334,1),(389,1)}
       268:{1,3,4,5,7}:{(223,1),(224,1),(234,1),(307,1),(311,1),(312,1),(323,1),(373,1),(415,1),(416,1),(425,1),(426,1)}
       269:{2,4,5}:{(224,1),(308,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(230,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(231,1),(304,1),(316,1),(321,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(232,1),(245,1),(305,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(317,1),(318,1)}
       276:{1,4,7}:{(230,1),(231,1),(237,1)}
       277:{1,2,4,6}:{(231,1),(235,1),(238,1),(248,1),(308,1),(319,1),(320,1)}
       278:{2,5,6}:{(232,1),(233,1),(317,1),(321,1)}
       279:{1,4,6}:{(233,1),(234,1),(239,1),(321,1)}
       280:{1,2,4,5,7}:{(234,1),(235,1),(240,1),(252,1),(312,1),(319,1),(322,1),(323,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(320,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(239,1),(318,1),(325,1)}
       283:{1,2,5,7}:{(237,1),(238,1),(257,1),(319,1),(325,1),(371,1)}
       284:{1,2,6}:{(239,1),(240,1)}
       285:{1,2,3,5,7}:{(240,1),(241,1),(242,1),(323,1),(326,1),(327,1),(385,1)}
       286:{1,2,4}:{(241,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(245,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(249,1),(254,1),(328,1),(425,1)}
       289:{2,3,5,7}:{(245,1),(246,1),(250,1),(317,1),(328,1),(329,1)}
       290:{1,3,4,6,7}:{(246,1),(247,1),(251,1),(256,1),(318,1),(329,1),(330,1),(336,1),(382,1),(391,1),(415,1),(417,1)}
       291:{2,4,7}:{(247,1),(248,1),(257,1),(331,1)}
       292:{2,3,6}:{(248,1),(253,1),(320,1),(331,1)}
       293:{2,4,5,6}:{(249,1),(250,1),(328,1),(332,1),(413,1)}
       294:{1,3,5,6}:{(250,1),(251,1),(321,1),(329,1),(332,1),(333,1),(388,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(334,1)}
       296:{2,3,5,7}:{(252,1),(253,1),(323,1),(331,1),(334,1),(335,1),(390,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(329,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(264,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(265,1),(273,1),(340,1),(341,1)}
       305:{3,5,7}:{(262,1),(263,1),(266,1)}
       306:{2,3,4,6,7}:{(263,1),(264,1),(267,1),(275,1),(339,1),(343,1),(344,1),(363,1),(392,1),(405,1)}
       307:{1,3,4,7}:{(264,1),(265,1),(276,1),(340,1),(345,1),(356,1)}
       308:{2,4,6}:{(265,1),(269,1),(341,1),(345,1),(346,1)}
       309:{3,4,5,6}:{(266,1),(342,1),(347,1),(406,1)}
       310:{2,3,5,6}:{(266,1),(267,1),(278,1),(343,1),(347,1),(348,1)}
       311:{1,3,4,6}:{(267,1),(268,1),(279,1),(348,1),(349,1),(358,1),(402,1),(422,1)}
       312:{2,4,5,7}:{(268,1),(269,1),(345,1),(349,1),(350,1),(396,1),(421,1),(423,1)}
       313:{2,3,5}:{(269,1),(281,1),(346,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(276,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(278,1),(354,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(354,1)}
       319:{1,2,4,7}:{(276,1),(277,1),(283,1),(291,1),(345,1),(356,1)}
       320:{1,3,6}:{(277,1),(281,1),(292,1),(346,1),(356,1)}
       321:{1,5,6}:{(278,1),(279,1),(354,1)}
       322:{1,2,4,6}:{(279,1),(280,1),(284,1),(295,1),(349,1),(357,1),(358,1),(402,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(296,1),(350,1),(356,1),(358,1),(359,1),(403,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(284,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(284,1),(285,1),(358,1),(360,1)}
       327:{1,2,4,7}:{(285,1),(286,1),(359,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(293,1),(298,1),(361,1),(421,1)}
       329:{1,3,5,7}:{(289,1),(290,1),(294,1),(354,1),(361,1),(362,1),(404,1)}
       330:{2,4,6,7}:{(290,1),(291,1),(295,1),(300,1),(362,1),(363,1),(405,1)}
       331:{2,3,7}:{(291,1),(292,1),(356,1)}
       332:{1,4,5,6}:{(293,1),(294,1),(361,1),(364,1),(402,1)}
       333:{2,5,6}:{(294,1),(295,1),(362,1)}
       334:{2,3,6}:{(295,1),(296,1),(358,1)}
       335:{2,3,4,7}:{(296,1),(297,1),(359,1),(366,1),(405,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(362,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(305,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(307,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(308,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(309,1),(368,1),(372,1),(417,1)}
       343:{2,3,5,7}:{(305,1),(306,1),(310,1),(317,1),(372,1),(373,1)}
       344:{1,3,4,6,7}:{(306,1),(307,1),(311,1),(318,1),(370,1),(373,1),(374,1),(382,1),(408,1),(415,1),(424,1),(425,1)}
       345:{2,4,7}:{(307,1),(308,1),(371,1),(375,1)}
       346:{2,3,6}:{(308,1),(313,1),(320,1),(375,1)}
       347:{2,4,5,6}:{(309,1),(310,1),(372,1),(376,1),(389,1)}
       348:{1,3,5,6}:{(310,1),(311,1),(321,1),(373,1),(376,1),(377,1),(412,1)}
       349:{2,4,6}:{(311,1),(312,1),(377,1),(378,1)}
       350:{2,3,5,7}:{(312,1),(313,1),(323,1),(375,1),(378,1),(379,1),(414,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(321,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(322,1),(325,1),(330,1),(374,1),(381,1),(382,1),(415,1)}
       356:{1,3,7}:{(319,1),(320,1),(331,1),(375,1)}
       357:{1,2,5,6}:{(321,1),(322,1),(333,1),(377,1),(381,1),(383,1),(385,1)}
       358:{1,3,6}:{(322,1),(323,1),(334,1),(378,1)}
       359:{1,3,4,7}:{(323,1),(324,1),(327,1),(335,1),(379,1),(384,1),(415,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(332,1),(336,1),(386,1),(415,1)}
       362:{2,5,7}:{(329,1),(330,1),(333,1)}
       363:{2,3,6,7}:{(330,1),(331,1),(334,1),(382,1),(387,1),(391,1)}
       364:{2,4,5,6}:{(332,1),(333,1),(386,1),(388,1),(389,1)}
       365:{2,3,5,6}:{(333,1),(334,1),(383,1),(387,1),(388,1),(389,1),(390,1)}
       366:{2,3,4,6}:{(334,1),(335,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(343,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(345,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(347,1),(392,1),(395,1),(405,1)}
       373:{1,3,5,7}:{(343,1),(344,1),(348,1),(354,1),(395,1),(396,1),(420,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(349,1),(394,1),(396,1),(397,1),(421,1)}
       375:{2,3,7}:{(345,1),(346,1),(356,1)}
       376:{1,4,5,6}:{(347,1),(348,1),(395,1),(398,1),(402,1)}
       377:{2,5,6}:{(348,1),(349,1),(396,1)}
       378:{2,3,6}:{(349,1),(350,1),(358,1)}
       379:{2,3,4,7}:{(350,1),(351,1),(359,1),(400,1),(421,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(357,1),(362,1),(396,1),(401,1)}
       382:{1,3,6,7}:{(355,1),(356,1),(358,1),(363,1),(397,1),(401,1)}
       383:{1,3,5,6}:{(357,1),(358,1),(365,1),(399,1),(401,1),(402,1),(403,1)}
       384:{1,3,4,6}:{(358,1),(359,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(364,1),(367,1),(404,1),(405,1)}
       387:{2,3,5,7}:{(362,1),(363,1),(365,1),(401,1),(404,1),(405,1)}
       388:{3,5,6}:{(364,1),(404,1),(406,1)}
       389:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(373,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(376,1),(408,1),(410,1),(415,1)}
       396:{2,5,7}:{(373,1),(374,1),(377,1)}
       397:{2,3,6,7}:{(374,1),(375,1),(378,1),(382,1),(411,1),(424,1)}
       398:{2,4,5,6}:{(376,1),(377,1),(410,1),(412,1),(413,1)}
       399:{2,3,5,6}:{(377,1),(378,1),(383,1),(411,1),(412,1),(413,1),(414,1)}
       400:{2,3,4,6}:{(378,1),(379,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(387,1),(411,1),(415,1)}
       402:{1,4,6}:{(383,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(388,1),(391,1),(417,1)}
       405:{2,4,7}:{(387,1),(389,1),(415,1),(417,1)}
       406:{3,4,6}:{(388,1),(389,1),(417,1),(418,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(396,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(398,1),(419,1),(420,1),(421,1)}
       411:{2,3,5,7}:{(396,1),(397,1),(399,1),(401,1),(420,1),(421,1)}
       412:{3,5,6}:{(398,1),(420,1),(422,1)}
       413:{2,4,6}:{(399,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(405,1),(421,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(406,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(412,1),(424,1),(425,1)}
       421:{2,4,7}:{(411,1),(413,1),(415,1),(425,1)}
       422:{3,4,6}:{(412,1),(413,1),(425,1),(426,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(422,1),(423,1)}

1662 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1663 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(25,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(132,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(26,1),(67,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(25,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(73,1),(76,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(109,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(12,1),(15,1),(39,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,5}:{(12,1),(42,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(46,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(45,1),(47,1),(83,1),(90,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,5}:{(15,1),(42,1),(49,1)}
        30:{2,3,4,7}:{(15,1),(43,1),(51,1),(52,1),(99,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(162,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(132,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(109,1),(112,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,5}:{(23,1),(25,1),(29,1),(60,1),(64,1)}
        43:{1,3,4,7}:{(23,1),(26,1),(30,1),(61,1),(66,1),(67,1),(115,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,6}:{(25,1),(27,1),(32,1),(65,1),(68,1),(69,1),(106,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(66,1),(69,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(68,1),(107,1),(115,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(73,1)}
        49:{2,4,5}:{(29,1),(64,1),(72,1),(73,1)}
        50:{2,3,5,6}:{(29,1),(31,1),(32,1),(65,1),(73,1),(75,1),(76,1),(77,1),(124,1)}
        51:{2,3,5,7}:{(29,1),(30,1),(66,1),(74,1),(76,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(73,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,5}:{(39,1),(42,1),(84,1)}
        61:{2,3,4,7}:{(39,1),(43,1),(86,1),(87,1),(132,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,4,5}:{(42,1),(49,1),(84,1),(90,1)}
        65:{1,3,5,6}:{(42,1),(44,1),(45,1),(50,1),(85,1),(90,1),(92,1),(93,1),(138,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(46,1),(51,1),(86,1),(91,1),(93,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,5,7}:{(45,1),(47,1),(54,1),(92,1),(94,1),(129,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(99,1)}
        72:{3,4,5}:{(49,1),(97,1)}
        73:{2,4,6}:{(49,1),(50,1),(90,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(49,1),(51,1),(91,1),(98,1),(99,1),(100,1),(143,1)}
        75:{2,3,5,7}:{(50,1),(52,1),(54,1),(92,1),(99,1),(101,1),(102,1),(143,1)}
        76:{2,3,6}:{(51,1),(93,1),(100,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(99,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(60,1),(64,1),(108,1),(109,1)}
        85:{2,3,5,6}:{(60,1),(62,1),(65,1),(106,1),(109,1),(111,1),(112,1),(145,1),(151,1)}
        86:{2,3,5,7}:{(60,1),(61,1),(66,1),(110,1),(112,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(65,1),(73,1),(109,1),(115,1)}
        91:{1,4,5,7}:{(64,1),(66,1),(74,1),(110,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(65,1),(67,1),(68,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(66,1),(69,1),(76,1),(112,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(73,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(73,1),(77,1),(121,1)}
        98:{3,4,5,7}:{(72,1),(74,1),(121,1),(122,1),(156,1)}
        99:{2,4,7}:{(73,1),(75,1),(115,1),(121,1)}
       100:{2,4,6}:{(74,1),(76,1),(116,1),(122,1),(124,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(130,1)}
       109:{2,4,6}:{(84,1),(85,1),(90,1),(130,1),(132,1)}
       110:{2,4,5,7}:{(84,1),(86,1),(91,1),(131,1),(132,1),(133,1),(163,1)}
       111:{2,3,5,7}:{(85,1),(87,1),(92,1),(129,1),(132,1),(134,1),(159,1),(163,1)}
       112:{2,3,6}:{(86,1),(93,1),(133,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(92,1),(99,1),(132,1)}
       116:{1,4,6}:{(91,1),(93,1),(100,1),(133,1),(138,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(137,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(142,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(99,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(99,1),(102,1)}
       122:{3,4,6}:{(98,1),(100,1),(142,1)}
       123:{2,4,6,7}:{(99,1),(100,1),(101,1),(137,1),(141,1),(143,1)}
       124:{2,5,6}:{(100,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(109,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(109,1),(145,1),(148,1)}
       131:{3,4,5,7}:{(108,1),(110,1),(148,1),(149,1),(169,1)}
       132:{2,4,7}:{(109,1),(111,1),(115,1),(148,1)}
       133:{2,4,6}:{(110,1),(112,1),(116,1),(149,1),(151,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(150,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(123,1),(150,1),(153,1)}
       138:{1,5,6}:{(116,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{3,5,6}:{(122,1),(124,1),(156,1),(157,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(156,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(132,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(132,1),(159,1)}
       149:{3,4,6}:{(131,1),(133,1),(162,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(163,1)}
       151:{2,5,6}:{(133,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(142,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{3,5,6}:{(149,1),(151,1),(169,1),(170,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(162,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1664 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1665 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1666 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1667 :   0:{3,4,5,6,7}:{(1,1),(56,1),(130,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(42,1),(148,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(160,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(6,1),(32,1),(165,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(39,1),(42,1),(142,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1),(173,1)}
         6:{2,4,5,6,7}:{(3,1),(10,1),(11,1),(23,1),(177,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(46,1),(74,1),(115,1),(142,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(49,1),(57,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(17,1),(29,1),(32,1),(158,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(181,1)}
        11:{3,5,6,7}:{(6,1),(17,1),(184,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(34,1),(35,1),(58,1),(133,1),(158,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(24,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(171,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(106,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(41,1),(145,1)}
        17:{3,4,6,7}:{(11,1),(23,1),(24,1),(176,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(151,1),(171,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(120,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(157,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(31,1),(32,1),(54,1),(126,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(163,1)}
        24:{3,4,5,7}:{(17,1),(33,1),(34,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(120,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(132,1),(157,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(140,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{2,3,5,6,7}:{(22,1),(39,1),(42,1),(70,1),(73,1),(108,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(42,1),(43,1),(146,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,4,5,6}:{(24,1),(44,1),(176,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(113,1),(140,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(122,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(56,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(56,1),(57,1),(128,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(57,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(163,1)}
        45:{3,4,5,6,7}:{(34,1),(59,1),(185,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(122,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(132,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(138,1),(144,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(140,1),(172,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1),(73,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{3,4,6,7}:{(42,1),(73,1),(110,1)}
        57:{2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(74,1),(146,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(178,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(106,1),(113,1),(140,1),(152,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(113,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(152,1),(177,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(119,1),(169,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(91,1),(119,1),(125,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(157,1),(163,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(120,1),(182,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(122,1),(128,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1),(92,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{3,5,7}:{(56,1),(57,1),(92,1)}
        74:{2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(128,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(93,1),(166,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(168,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(122,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(130,1),(134,1),(165,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(169,1),(186,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(180,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(110,1),(140,1),(146,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(172,1),(178,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(105,1),(140,1),(146,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(105,1),(106,1),(187,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(105,1),(107,1),(108,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(109,1),(111,1)}
        91:{3,4,5,7}:{(73,1),(107,1),(110,1)}
        92:{3,5,6}:{(73,1),(74,1),(110,1)}
        93:{2,4,5,6,7}:{(74,1),(75,1),(109,1),(111,1),(149,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(112,1),(113,1),(140,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(113,1),(151,1)}
        96:{2,3,5}:{(77,1),(78,1),(113,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(116,1),(117,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(117,1),(150,1),(154,1),(179,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(118,1),(119,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(119,1),(120,1),(125,1),(156,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(119,1),(122,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(122,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(123,1),(131,1),(159,1),(166,1)}
       104:{2,3,4,6,7}:{(86,1),(118,1),(124,1),(157,1),(163,1),(182,1),(185,1)}
       105:{1,3,5,7}:{(86,1),(87,1),(88,1),(124,1),(125,1),(126,1)}
       106:{1,2,5,6}:{(87,1),(89,1),(120,1),(126,1),(181,1)}
       107:{2,4,5,7}:{(88,1),(91,1),(125,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(92,1),(122,1),(126,1),(128,1)}
       109:{2,5,6,7}:{(89,1),(90,1),(123,1)}
       110:{3,4,6}:{(91,1),(92,1),(128,1)}
       111:{3,5,6,7}:{(92,1),(93,1),(131,1)}
       112:{2,3,4,6}:{(94,1),(118,1),(132,1),(157,1),(168,1)}
       113:{1,3,5}:{(94,1),(95,1),(96,1),(132,1)}
       114:{1,2,4,5,6}:{(95,1),(97,1),(120,1),(134,1),(135,1),(165,1),(168,1),(181,1)}
       115:{2,3,4,5}:{(96,1),(133,1),(136,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(122,1),(134,1),(136,1),(137,1)}
       117:{2,4,5,7}:{(97,1),(98,1),(123,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(112,1),(138,1),(180,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(113,1),(138,1),(140,1)}
       120:{1,2,4,6}:{(100,1),(102,1),(106,1),(140,1),(146,1),(171,1)}
       121:{2,3,4,5,7}:{(101,1),(107,1),(115,1),(139,1),(142,1),(155,1),(175,1)}
       122:{2,3,6}:{(101,1),(102,1),(140,1)}
       123:{2,4,6,7}:{(102,1),(103,1),(109,1),(117,1),(143,1)}
       124:{2,3,5,7}:{(104,1),(105,1),(144,1),(145,1),(187,1),(188,1)}
       125:{1,4,5,7}:{(105,1),(107,1),(144,1),(146,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(108,1),(140,1),(145,1),(146,1)}
       127:{1,2,5,6,7}:{(106,1),(109,1),(141,1),(147,1),(187,1)}
       128:{2,4,6}:{(107,1),(108,1),(110,1),(146,1)}
       129:{2,3,5,6,7}:{(108,1),(109,1),(111,1),(143,1),(147,1),(149,1),(175,1)}
       130:{3,4,5,6}:{(110,1),(148,1),(150,1)}
       131:{3,4,6,7}:{(110,1),(111,1),(149,1),(150,1)}
       132:{2,3,5}:{(112,1),(113,1),(151,1)}
       133:{1,3,4,5}:{(113,1),(115,1),(151,1),(153,1)}
       134:{1,3,5,6}:{(113,1),(114,1),(116,1),(140,1),(152,1),(153,1),(154,1)}
       135:{1,2,4,5,7}:{(114,1),(117,1),(141,1),(154,1),(179,1),(180,1),(187,1)}
       136:{2,3,4,6}:{(115,1),(116,1),(153,1),(155,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(143,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(132,1),(156,1),(157,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(125,1),(133,1),(156,1),(158,1),(162,1),(170,1),(183,1)}
       140:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(127,1),(135,1),(159,1),(166,1),(182,1)}
       142:{2,3,4,6}:{(121,1),(122,1),(128,1),(158,1),(160,1)}
       143:{2,3,6,7}:{(122,1),(123,1),(137,1),(159,1)}
       144:{2,4,5,7}:{(124,1),(125,1),(162,1),(163,1)}
       145:{2,3,5,6}:{(124,1),(126,1),(157,1),(163,1),(181,1),(184,1)}
       146:{1,4,6}:{(125,1),(126,1),(128,1),(163,1)}
       147:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(159,1),(164,1),(166,1),(183,1)}
       148:{2,4,5,6}:{(128,1),(130,1),(160,1),(165,1),(167,1)}
       149:{2,4,6,7}:{(128,1),(129,1),(131,1),(166,1),(167,1)}
       150:{3,4,5,7}:{(130,1),(131,1),(167,1)}
       151:{2,4,5}:{(132,1),(133,1),(168,1)}
       152:{2,3,5,6}:{(132,1),(134,1),(157,1),(168,1),(169,1),(181,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(136,1),(168,1),(170,1)}
       154:{1,3,5,7}:{(134,1),(135,1),(137,1),(159,1),(169,1),(170,1)}
       155:{2,3,4,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(151,1),(171,1),(180,1),(187,1)}
       157:{2,3,6}:{(138,1),(140,1),(171,1)}
       158:{1,3,4,6}:{(139,1),(140,1),(142,1),(146,1),(171,1),(173,1),(176,1)}
       159:{1,3,6,7}:{(140,1),(141,1),(143,1),(154,1),(172,1)}
       160:{2,3,5,6}:{(142,1),(148,1),(173,1),(175,1)}
       161:{2,3,4,6,7}:{(142,1),(143,1),(149,1),(155,1),(174,1),(175,1)}
       162:{3,4,5,7}:{(144,1),(176,1),(188,1)}
       163:{2,4,6}:{(144,1),(145,1),(146,1),(176,1)}
       164:{2,3,5,6,7}:{(145,1),(147,1),(172,1),(178,1),(187,1),(188,1)}
       165:{1,4,5,6}:{(146,1),(148,1),(173,1),(177,1),(179,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(149,1),(178,1),(179,1)}
       167:{2,4,5,7}:{(148,1),(149,1),(150,1),(175,1),(179,1)}
       168:{2,4,6}:{(151,1),(152,1),(153,1),(180,1)}
       169:{2,3,5,7}:{(152,1),(154,1),(172,1),(180,1),(187,1)}
       170:{1,3,4,7}:{(153,1),(154,1),(155,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(158,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(169,1),(182,1)}
       173:{1,3,5,6}:{(158,1),(160,1),(165,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6,7}:{(158,1),(159,1),(161,1),(166,1),(170,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,7}:{(160,1),(161,1),(167,1),(183,1)}
       176:{3,4,6}:{(162,1),(163,1),(184,1)}
       177:{2,4,5,6}:{(163,1),(165,1),(181,1),(184,1),(186,1)}
       178:{2,4,6,7}:{(163,1),(164,1),(166,1),(185,1),(186,1)}
       179:{1,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(186,1)}
       180:{2,4,7}:{(168,1),(169,1),(170,1)}
       181:{2,5,6}:{(171,1),(173,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(174,1),(180,1),(187,1)}
       183:{1,3,5,7}:{(173,1),(174,1),(175,1),(179,1),(187,1),(188,1)}
       184:{3,5,6}:{(176,1),(177,1),(188,1)}
       185:{3,4,6,7}:{(176,1),(178,1),(188,1)}
       186:{2,4,5,7}:{(177,1),(178,1),(179,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

1668 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1669 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(44,1),(48,1),(85,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(108,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(108,1),(138,1),(139,1),(140,1),(146,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(41,1),(83,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(108,1),(115,1),(116,1),(117,1),(146,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(60,1),(103,1),(107,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(106,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(146,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(106,1),(114,1),(139,1),(145,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{2,4,5,6}:{(13,1),(39,1),(40,1),(41,1),(83,1),(86,1),(158,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(42,1),(43,1),(81,1),(84,1),(125,1),(129,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(44,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(41,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(126,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(106,1),(116,1),(137,1),(145,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(23,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{1,4,5,6}:{(23,1),(27,1),(59,1),(61,1),(62,1),(71,1),(97,1),(106,1),(144,1)}
        41:{3,5,6}:{(23,1),(28,1),(60,1),(109,1),(166,1)}
        42:{2,5,6,7}:{(24,1),(26,1),(63,1),(103,1),(146,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1)}
        44:{3,4,6,7}:{(25,1),(28,1),(60,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(145,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(62,1),(66,1),(67,1),(104,1),(111,1),(144,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(143,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(41,1),(44,1),(170,1)}
        61:{2,4,5,6}:{(40,1),(46,1),(80,1),(82,1),(83,1),(86,1),(127,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(47,1),(81,1),(82,1),(83,1),(92,1),(118,1)}
        63:{2,4,6,7}:{(42,1),(43,1),(46,1),(80,1),(84,1)}
        64:{1,3,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(123,1),(129,1),(155,1),(170,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(83,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,5,6}:{(61,1),(66,1),(102,1),(104,1),(109,1)}
        83:{2,5,6}:{(62,1),(67,1),(103,1),(106,1),(114,1),(137,1)}
        84:{3,6,7}:{(63,1),(66,1),(102,1)}
        85:{2,4,6,7}:{(64,1),(67,1),(103,1),(107,1),(108,1),(141,1),(146,1),(164,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(106,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{3,4,6}:{(82,1),(123,1),(126,1),(127,1)}
       105:{2,3,5,6}:{(82,1),(83,1),(88,1),(124,1),(127,1),(128,1),(130,1)}
       106:{1,5,6}:{(83,1),(89,1),(125,1),(134,1),(152,1)}
       107:{2,3,6,7}:{(84,1),(85,1),(88,1),(124,1),(129,1),(170,1)}
       108:{1,4,6,7}:{(85,1),(89,1),(125,1),(129,1),(155,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(127,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(104,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(105,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(106,1),(108,1)}
       126:{3,4,5}:{(104,1),(109,1),(143,1),(174,1)}
       127:{2,4,6}:{(104,1),(105,1),(141,1),(143,1),(144,1)}
       128:{1,3,5,6}:{(105,1),(106,1),(111,1),(142,1),(144,1),(145,1),(147,1),(166,1)}
       129:{1,3,6,7}:{(107,1),(108,1),(111,1),(142,1),(146,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(143,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(144,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(127,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(128,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,4,5}:{(126,1),(127,1),(130,1),(157,1),(172,1)}
       144:{1,4,6}:{(127,1),(128,1),(155,1),(157,1),(158,1)}
       145:{2,5,6}:{(128,1),(132,1),(156,1),(158,1),(159,1)}
       146:{2,6,7}:{(129,1),(132,1),(156,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(144,1),(164,1)}
       156:{2,5,7}:{(142,1),(145,1),(146,1),(164,1)}
       157:{1,4,5}:{(143,1),(144,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(144,1),(145,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1670 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1671 :   0:{1,2,5,6,7}:{(1,1),(2,1),(46,1),(87,1),(97,1),(141,1),(150,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(61,1),(111,1),(121,1),(170,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(126,1),(177,1),(181,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(26,1),(33,1),(69,1),(74,1),(126,1),(131,1),(135,1),(167,1),(177,1),(181,1),(214,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(51,1),(82,1),(100,1),(138,1),(150,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(46,1),(82,1),(92,1),(150,1),(152,1),(202,1)}
         6:{1,4,6,7}:{(1,1),(13,1),(14,1),(149,1),(195,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(46,1),(49,1),(99,1),(141,1),(151,1),(156,1),(162,1),(195,1)}
         8:{1,3,6,7}:{(2,1),(16,1),(17,1),(153,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1),(19,1),(102,1),(153,1),(164,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(22,1),(32,1),(56,1),(71,1),(121,1),(130,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(57,1),(166,1),(177,1),(212,1)}
        12:{1,2,4,5,6}:{(21,1),(23,1),(55,1),(62,1),(109,1),(114,1),(127,1),(166,1),(171,1),(175,1),(177,1),(183,1),(212,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,4,5,7}:{(6,1),(24,1),(26,1),(27,1),(111,1)}
        15:{1,3,4,6,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(30,1),(68,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(9,1),(30,1),(31,1),(179,1),(189,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(31,1),(32,1),(125,1),(181,1)}
        18:{1,3,4,6}:{(9,1),(29,1),(30,1),(33,1),(214,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(31,1),(33,1),(34,1),(69,1),(73,1),(125,1),(131,1),(136,1),(181,1)}
        20:{1,4,6,7}:{(10,1),(13,1),(35,1),(149,1),(158,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(82,1),(85,1),(100,1),(140,1),(151,1),(158,1),(193,1),(199,1)}
        22:{1,3,6,7}:{(11,1),(37,1),(38,1),(190,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(37,1),(39,1),(40,1),(143,1),(190,1),(201,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(14,1),(35,1),(41,1),(42,1),(46,1),(82,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(204,1)}
        26:{1,4,5,6}:{(14,1),(41,1),(44,1),(138,1),(149,1),(208,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(42,1),(44,1),(46,1)}
        28:{2,4,6,7}:{(15,1),(17,1),(46,1),(47,1),(49,1),(96,1)}
        29:{1,3,4,5}:{(18,1),(48,1),(102,1),(161,1),(230,1),(234,1)}
        30:{1,3,4,7}:{(16,1),(18,1),(49,1),(195,1),(204,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(49,1),(50,1),(156,1),(163,1)}
        32:{1,3,6,7}:{(17,1),(47,1),(50,1),(51,1),(153,1)}
        33:{2,4,6}:{(18,1),(19,1),(48,1),(49,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(50,1),(53,1),(54,1),(97,1),(102,1),(107,1),(153,1)}
        35:{1,4,5,7}:{(20,1),(24,1),(55,1),(56,1),(71,1)}
        36:{1,3,4,6,7}:{(20,1),(22,1),(25,1),(56,1),(57,1),(59,1),(108,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(23,1),(59,1),(60,1),(179,1),(220,1)}
        38:{2,3,6,7}:{(22,1),(57,1),(60,1),(61,1),(165,1),(212,1)}
        39:{1,3,4,6}:{(23,1),(58,1),(59,1),(62,1),(183,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(60,1),(62,1),(63,1),(109,1),(113,1),(165,1),(171,1),(176,1),(212,1)}
        41:{2,4,5,6}:{(24,1),(26,1),(55,1),(64,1),(69,1),(109,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(64,1)}
        43:{2,3,4,6,7}:{(25,1),(28,1),(57,1),(66,1),(67,1),(75,1),(115,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(224,1),(238,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(64,1),(68,1),(69,1),(225,1)}
        45:{1,3,4,5,7}:{(27,1),(29,1),(30,1),(65,1),(68,1),(70,1),(122,1),(128,1),(179,1),(186,1),(225,1)}
        46:{2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        47:{1,4,6,7}:{(28,1),(32,1),(71,1),(76,1),(126,1)}
        48:{2,4,5}:{(29,1),(33,1),(73,1),(74,1),(131,1),(188,1)}
        49:{2,4,7}:{(30,1),(31,1),(33,1),(76,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(71,1),(76,1),(77,1),(134,1)}
        51:{1,2,6,7}:{(32,1),(77,1),(181,1)}
        52:{2,3,4,6}:{(33,1),(73,1),(75,1),(78,1),(125,1),(136,1),(188,1),(221,1),(224,1)}
        53:{1,4,6}:{(33,1),(34,1),(74,1),(76,1)}
        54:{1,2,5,6}:{(34,1),(77,1),(79,1),(131,1),(181,1)}
        55:{1,4,5,6}:{(35,1),(41,1),(80,1),(97,1),(149,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(42,1),(80,1),(82,1)}
        57:{2,4,6,7}:{(36,1),(38,1),(82,1),(83,1),(85,1),(137,1)}
        58:{1,3,4,5}:{(39,1),(84,1),(143,1),(198,1),(208,1),(234,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(85,1),(158,1),(204,1)}
        60:{2,3,5,7}:{(37,1),(38,1),(40,1),(82,1),(85,1),(86,1),(193,1),(200,1)}
        61:{1,3,6,7}:{(38,1),(83,1),(86,1),(87,1),(190,1)}
        62:{2,4,6}:{(39,1),(40,1),(84,1),(85,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(86,1),(89,1),(90,1),(138,1),(143,1),(148,1),(190,1)}
        64:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        65:{3,4,5,7}:{(42,1),(91,1),(93,1),(204,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(46,1),(82,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(47,1),(83,1),(94,1),(95,1),(101,1),(104,1),(142,1),(145,1),(149,1),(153,1),(158,1),(190,1),(195,1),(202,1),(204,1),(207,1),(229,1),(235,1),(242,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(91,1),(96,1),(149,1),(153,1),(202,1)}
        69:{2,5,6}:{(44,1),(46,1),(96,1),(97,1),(236,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(48,1),(49,1),(96,1),(98,1),(99,1),(156,1),(210,1),(236,1)}
        71:{1,5,7}:{(46,1),(47,1),(97,1)}
        72:{1,2,4,6,7}:{(47,1),(51,1),(95,1),(100,1),(101,1),(105,1),(154,1),(158,1),(199,1),(227,1),(242,1)}
        73:{2,3,5}:{(48,1),(52,1),(102,1),(234,1),(236,1)}
        74:{1,4,5}:{(48,1),(53,1),(102,1),(211,1)}
        75:{2,3,4,7}:{(49,1),(52,1),(98,1),(104,1),(163,1),(204,1),(210,1)}
        76:{1,4,7}:{(49,1),(50,1),(53,1)}
        77:{1,2,5,7}:{(50,1),(51,1),(54,1),(105,1),(156,1)}
        78:{1,3,4,6}:{(52,1),(53,1),(102,1),(104,1),(106,1),(107,1),(153,1),(161,1),(164,1),(211,1),(235,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(103,1),(105,1),(106,1),(107,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(109,1),(239,1)}
        81:{1,3,4,5,7}:{(56,1),(58,1),(59,1),(65,1),(108,1),(110,1),(122,1),(168,1),(179,1),(217,1),(239,1)}
        82:{2,5,7}:{(56,1),(57,1),(109,1),(111,1)}
        83:{1,4,6,7}:{(57,1),(61,1),(111,1),(116,1),(166,1)}
        84:{2,4,5}:{(58,1),(62,1),(113,1),(114,1),(171,1),(219,1)}
        85:{2,4,7}:{(59,1),(60,1),(62,1),(116,1)}
        86:{1,3,5,7}:{(60,1),(61,1),(63,1),(111,1),(116,1),(117,1),(174,1)}
        87:{1,2,6,7}:{(61,1),(117,1),(212,1)}
        88:{2,3,4,6}:{(62,1),(113,1),(115,1),(118,1),(165,1),(176,1),(219,1),(221,1),(238,1)}
        89:{1,4,6}:{(62,1),(63,1),(114,1),(116,1)}
        90:{1,2,5,6}:{(63,1),(117,1),(119,1),(171,1),(212,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,3,5,6}:{(64,1),(66,1),(69,1),(109,1),(120,1),(121,1),(125,1),(165,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(120,1),(122,1),(180,1),(222,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(71,1),(111,1),(121,1),(122,1),(123,1),(179,1),(225,1),(239,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(133,1),(173,1),(177,1),(180,1),(181,1),(212,1),(224,1),(238,1)}
        96:{2,4,6}:{(68,1),(69,1),(70,1),(125,1),(126,1),(181,1)}
        97:{1,5,6}:{(69,1),(71,1),(126,1),(241,1)}
        98:{2,3,5,7}:{(70,1),(73,1),(75,1),(125,1),(128,1),(179,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(76,1),(126,1),(128,1),(226,1),(241,1)}
       100:{1,2,5,7}:{(71,1),(72,1),(123,1),(127,1),(130,1),(244,1)}
       101:{1,3,6,7}:{(72,1),(124,1),(130,1),(134,1),(182,1),(220,1),(237,1)}
       102:{1,3,5}:{(73,1),(74,1),(78,1),(131,1),(241,1)}
       103:{1,2,4,5}:{(74,1),(79,1),(131,1),(132,1),(188,1)}
       104:{1,3,4,7}:{(75,1),(76,1),(78,1),(128,1),(133,1),(134,1),(189,1),(226,1)}
       105:{1,2,4,7}:{(76,1),(77,1),(79,1),(133,1),(134,1)}
       106:{2,4,6}:{(78,1),(131,1),(133,1),(136,1),(181,1),(188,1)}
       107:{1,3,6}:{(79,1),(132,1),(134,1),(136,1)}
       108:{1,3,4,6}:{(80,1),(81,1),(91,1),(137,1),(149,1),(190,1),(202,1)}
       109:{2,5,6}:{(80,1),(82,1),(137,1),(138,1),(243,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(84,1),(85,1),(137,1),(139,1),(140,1),(193,1),(232,1),(243,1)}
       111:{1,5,7}:{(82,1),(83,1),(138,1)}
       112:{1,2,4,6,7}:{(83,1),(87,1),(95,1),(141,1),(142,1),(146,1),(162,1),(191,1),(195,1),(205,1),(235,1)}
       113:{2,3,5}:{(84,1),(88,1),(143,1),(234,1),(243,1)}
       114:{1,4,5}:{(84,1),(89,1),(143,1),(233,1)}
       115:{2,3,4,7}:{(85,1),(88,1),(139,1),(145,1),(200,1),(204,1),(232,1)}
       116:{1,4,7}:{(85,1),(86,1),(89,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(90,1),(146,1),(193,1)}
       118:{1,3,4,6}:{(88,1),(89,1),(143,1),(145,1),(147,1),(148,1),(190,1),(198,1),(201,1),(233,1),(242,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(144,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(94,1),(97,1),(138,1),(149,1),(150,1),(153,1),(190,1),(202,1)}
       122:{1,4,5,7}:{(93,1),(94,1),(149,1),(151,1),(158,1),(195,1),(208,1),(230,1)}
       123:{2,5,7}:{(94,1),(95,1),(150,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(101,1),(142,1),(152,1),(163,1),(200,1),(202,1),(206,1),(228,1)}
       125:{2,3,6}:{(96,1),(98,1),(153,1),(202,1)}
       126:{1,4,6}:{(96,1),(97,1),(99,1),(153,1)}
       127:{1,2,5,6}:{(97,1),(100,1),(150,1),(154,1),(155,1),(227,1),(236,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(102,1),(104,1),(153,1),(156,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(151,1),(154,1),(156,1),(157,1),(158,1),(208,1),(210,1),(236,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(152,1),(155,1),(158,1)}
       131:{2,5}:{(102,1),(106,1)}
       132:{1,3,5}:{(103,1),(107,1),(160,1),(161,1)}
       133:{2,4,7}:{(104,1),(106,1),(156,1),(163,1)}
       134:{1,3,7}:{(105,1),(107,1),(163,1)}
       135:{1,2,4,6}:{(106,1),(159,1),(162,1),(164,1),(205,1),(211,1),(235,1)}
       136:{2,3,6}:{(106,1),(107,1),(160,1),(163,1),(164,1)}
       137:{2,4,6}:{(108,1),(109,1),(110,1),(165,1),(166,1),(212,1)}
       138:{1,5,6}:{(109,1),(111,1),(166,1),(244,1)}
       139:{2,3,5,7}:{(110,1),(113,1),(115,1),(165,1),(168,1),(179,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(116,1),(166,1),(168,1),(240,1),(244,1)}
       141:{1,2,5,7}:{(111,1),(112,1),(123,1),(167,1),(170,1),(241,1)}
       142:{1,3,6,7}:{(112,1),(124,1),(170,1),(174,1),(189,1),(213,1),(223,1)}
       143:{1,3,5}:{(113,1),(114,1),(118,1),(171,1),(244,1)}
       144:{1,2,4,5}:{(114,1),(119,1),(171,1),(172,1),(219,1)}
       145:{1,3,4,7}:{(115,1),(116,1),(118,1),(168,1),(173,1),(174,1),(220,1),(240,1)}
       146:{1,2,4,7}:{(116,1),(117,1),(119,1),(173,1),(174,1)}
       147:{2,4,6}:{(118,1),(171,1),(173,1),(176,1),(212,1),(219,1)}
       148:{1,3,6}:{(119,1),(172,1),(174,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,5,6}:{(121,1),(123,1),(177,1),(181,1),(212,1)}
       151:{2,4,5,7}:{(122,1),(123,1),(177,1),(179,1),(180,1),(222,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(130,1),(170,1),(178,1),(179,1),(180,1)}
       153:{1,3,6}:{(125,1),(126,1),(128,1),(181,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(129,1),(177,1),(181,1),(182,1),(183,1),(224,1)}
       155:{1,3,5,6}:{(127,1),(130,1),(178,1),(182,1),(183,1),(225,1),(237,1),(244,1)}
       156:{2,5,7}:{(128,1),(131,1),(133,1),(181,1)}
       157:{1,3,5,7}:{(129,1),(132,1),(134,1),(179,1),(182,1),(185,1),(186,1),(225,1)}
       158:{1,4,7}:{(130,1),(180,1),(183,1)}
       159:{1,2,5}:{(131,1),(135,1),(187,1),(241,1)}
       160:{2,3,5}:{(131,1),(132,1),(136,1),(187,1),(188,1)}
       161:{1,3,4}:{(132,1),(188,1)}
       162:{1,2,4,7}:{(133,1),(135,1),(184,1),(189,1),(226,1)}
       163:{2,3,7}:{(133,1),(134,1),(136,1),(189,1)}
       164:{1,3,6}:{(135,1),(136,1),(187,1),(189,1)}
       165:{2,3,6}:{(137,1),(139,1),(190,1),(202,1)}
       166:{1,4,6}:{(137,1),(138,1),(140,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(141,1),(150,1),(191,1),(192,1),(205,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(143,1),(145,1),(190,1),(193,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(144,1),(146,1),(151,1),(191,1),(193,1),(194,1),(195,1),(230,1),(232,1),(243,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(152,1),(192,1),(195,1)}
       171:{2,5}:{(143,1),(147,1)}
       172:{1,3,5}:{(144,1),(148,1),(197,1),(198,1)}
       173:{2,4,7}:{(145,1),(147,1),(193,1),(200,1)}
       174:{1,3,7}:{(146,1),(148,1),(200,1)}
       175:{1,2,4,6}:{(147,1),(196,1),(199,1),(201,1),(227,1),(233,1),(242,1)}
       176:{2,3,6}:{(147,1),(148,1),(197,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{2,3,5,6}:{(150,1),(152,1),(155,1),(192,1),(202,1),(203,1),(206,1),(228,1),(234,1),(236,1),(243,1)}
       179:{3,5,7}:{(151,1),(202,1),(204,1),(234,1)}
       180:{2,4,7}:{(152,1),(158,1),(195,1),(203,1),(204,1)}
       181:{2,6}:{(153,1),(156,1)}
       182:{1,3,6}:{(154,1),(157,1),(202,1),(206,1)}
       183:{1,4,6}:{(155,1),(158,1),(203,1),(208,1)}
       184:{1,2,5,7}:{(156,1),(159,1),(162,1),(205,1),(209,1)}
       185:{2,3,5,7}:{(156,1),(157,1),(160,1),(163,1),(206,1),(209,1),(210,1),(236,1)}
       186:{1,3,4,7}:{(157,1),(158,1),(161,1),(204,1),(207,1),(210,1)}
       187:{1,3,5}:{(159,1),(160,1),(164,1),(211,1)}
       188:{2,4}:{(160,1),(161,1),(211,1)}
       189:{1,3,7}:{(162,1),(163,1),(164,1)}
       190:{1,3,6}:{(165,1),(166,1),(168,1),(212,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(169,1),(177,1),(212,1),(213,1),(214,1),(238,1)}
       192:{1,3,5,6}:{(167,1),(170,1),(178,1),(213,1),(214,1),(223,1),(239,1),(241,1)}
       193:{2,5,7}:{(168,1),(171,1),(173,1),(212,1)}
       194:{1,3,5,7}:{(169,1),(172,1),(174,1),(179,1),(213,1),(216,1),(217,1),(239,1)}
       195:{1,4,7}:{(170,1),(180,1),(214,1)}
       196:{1,2,5}:{(171,1),(175,1),(218,1),(244,1)}
       197:{2,3,5}:{(171,1),(172,1),(176,1),(218,1),(219,1)}
       198:{1,3,4}:{(172,1),(219,1)}
       199:{1,2,4,7}:{(173,1),(175,1),(215,1),(220,1),(240,1)}
       200:{2,3,7}:{(173,1),(174,1),(176,1),(220,1)}
       201:{1,3,6}:{(175,1),(176,1),(218,1),(220,1)}
       202:{3,6}:{(177,1),(179,1)}
       203:{2,4,6}:{(178,1),(180,1),(183,1),(214,1),(221,1),(222,1)}
       204:{3,4,7}:{(179,1),(180,1),(221,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{2,3,6}:{(181,1),(182,1),(185,1),(223,1),(224,1)}
       207:{1,3,4,6}:{(182,1),(183,1),(186,1),(221,1),(224,1),(225,1)}
       208:{1,4,5}:{(183,1),(222,1),(225,1),(244,1)}
       209:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(223,1),(226,1),(241,1)}
       210:{2,4,7}:{(185,1),(186,1),(188,1),(224,1),(226,1)}
       211:{1,4}:{(187,1),(188,1)}
       212:{2,6}:{(190,1),(193,1)}
       213:{1,3,6}:{(191,1),(194,1),(202,1),(228,1)}
       214:{1,4,6}:{(192,1),(195,1),(203,1),(230,1)}
       215:{1,2,5,7}:{(193,1),(196,1),(199,1),(227,1),(231,1)}
       216:{2,3,5,7}:{(193,1),(194,1),(197,1),(200,1),(228,1),(231,1),(232,1),(243,1)}
       217:{1,3,4,7}:{(194,1),(195,1),(198,1),(204,1),(229,1),(232,1)}
       218:{1,3,5}:{(196,1),(197,1),(201,1),(233,1)}
       219:{2,4}:{(197,1),(198,1),(233,1)}
       220:{1,3,7}:{(199,1),(200,1),(201,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(203,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(209,1),(235,1)}
       224:{2,4,6}:{(206,1),(207,1),(210,1),(235,1),(236,1)}
       225:{1,3,5}:{(207,1),(208,1),(234,1),(236,1)}
       226:{1,4,7}:{(209,1),(210,1),(211,1),(235,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{2,3,6}:{(212,1),(213,1),(216,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(213,1),(214,1),(217,1),(221,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(222,1),(239,1),(241,1)}
       231:{1,3,5,7}:{(215,1),(216,1),(218,1),(220,1),(237,1),(240,1),(244,1)}
       232:{2,4,7}:{(216,1),(217,1),(219,1),(238,1),(240,1)}
       233:{1,4}:{(218,1),(219,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(226,1),(241,1)}
       236:{2,5}:{(224,1),(225,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(231,1),(242,1)}
       238:{2,4,6}:{(228,1),(229,1),(232,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(234,1),(243,1)}
       240:{1,4,7}:{(231,1),(232,1),(233,1),(242,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1672 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1673 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(51,1),(117,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(22,1),(24,1),(62,1),(65,1),(127,1),(192,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(30,1),(77,1),(145,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(153,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(29,1),(37,1),(75,1),(87,1),(141,1),(153,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(39,1),(89,1),(227,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(19,1),(51,1),(177,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(108,1),(183,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(18,1),(51,1),(55,1),(108,1)}
         9:{2,5,6,7}:{(3,1),(18,1),(19,1),(191,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(18,1),(20,1),(21,1),(58,1),(119,1),(191,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(20,1),(22,1),(127,1)}
        12:{1,4,5,6}:{(5,1),(21,1),(22,1),(121,1),(257,1)}
        13:{2,3,4,5}:{(17,1),(26,1),(122,1),(132,1),(202,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(213,1)}
        15:{3,4,6,7}:{(7,1),(29,1),(30,1)}
        16:{2,3,5,6,7}:{(7,1),(9,1),(28,1),(30,1),(31,1),(34,1),(71,1),(74,1)}
        17:{2,3,4,6}:{(11,1),(13,1),(32,1),(33,1),(89,1),(148,1),(165,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(10,1),(34,1),(35,1),(82,1)}
        19:{1,5,6,7}:{(9,1),(35,1),(226,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(32,1),(34,1),(37,1),(141,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(35,1),(37,1),(155,1),(226,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(38,1),(39,1),(40,1),(80,1),(89,1),(94,1),(154,1),(158,1),(163,1),(225,1),(227,1),(228,1),(236,1),(279,1),(287,1),(308,1)}
        24:{3,4,5,6}:{(29,1),(42,1),(221,1),(286,1)}
        25:{2,3,4,5,7}:{(13,1),(32,1),(43,1),(44,1),(74,1),(134,1),(156,1),(159,1),(168,1),(217,1),(270,1),(274,1),(287,1),(307,1)}
        26:{1,3,4,5}:{(13,1),(33,1),(45,1),(98,1),(158,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(51,1),(102,1),(108,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(246,1)}
        29:{3,4,5,7}:{(15,1),(24,1),(49,1),(183,1),(294,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1)}
        31:{1,3,5,6,7}:{(16,1),(19,1),(48,1),(51,1),(52,1),(55,1),(102,1),(105,1),(108,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(53,1),(119,1),(180,1),(185,1)}
        33:{1,3,4,6}:{(17,1),(22,1),(26,1),(53,1),(54,1),(112,1),(121,1)}
        34:{2,3,6,7}:{(18,1),(20,1),(55,1),(108,1)}
        35:{1,4,6,7}:{(18,1),(19,1),(21,1),(55,1)}
        36:{1,2,5,6,7}:{(19,1),(52,1),(56,1),(57,1),(174,1),(178,1),(191,1),(257,1),(297,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(55,1),(58,1)}
        38:{1,2,4,5,7}:{(21,1),(23,1),(56,1),(58,1),(59,1),(106,1),(110,1),(117,1),(119,1),(178,1),(191,1),(193,1),(249,1),(255,1),(295,1)}
        39:{2,5,6}:{(22,1),(54,1),(58,1)}
        40:{1,3,5,6}:{(23,1),(59,1),(61,1),(62,1),(112,1),(127,1),(189,1),(256,1),(302,1),(313,1)}
        41:{1,3,4,5,6}:{(24,1),(46,1),(63,1),(65,1),(124,1),(127,1),(199,1),(247,1)}
        42:{2,4,5,6}:{(24,1),(49,1),(64,1),(65,1),(264,1)}
        43:{2,3,4,6}:{(25,1),(64,1),(66,1),(194,1),(203,1),(251,1),(264,1),(292,1),(313,1)}
        44:{1,3,4,5,7}:{(25,1),(26,1),(53,1),(66,1),(67,1),(105,1),(130,1),(171,1),(180,1),(193,1),(195,1),(202,1),(249,1),(265,1),(291,1)}
        45:{2,4,5}:{(26,1),(54,1),(69,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(41,1),(70,1),(75,1),(135,1),(141,1),(210,1),(213,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(137,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(272,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(42,1),(74,1),(75,1),(274,1)}
        50:{2,3,4,6,7}:{(30,1),(32,1),(34,1),(43,1),(71,1),(74,1),(76,1),(134,1),(144,1),(152,1),(212,1),(218,1),(274,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(75,1),(77,1)}
        52:{2,5,6,7}:{(31,1),(77,1),(82,1),(137,1),(140,1)}
        53:{1,3,4,7}:{(32,1),(33,1),(37,1),(79,1),(146,1),(155,1)}
        54:{2,4,6}:{(33,1),(39,1),(45,1),(79,1),(81,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(37,1),(82,1)}
        56:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(77,1),(82,1),(83,1),(84,1),(152,1),(228,1),(279,1),(308,1)}
        57:{1,3,5,6,7}:{(36,1),(78,1),(83,1),(84,1),(153,1),(211,1),(215,1),(272,1),(278,1)}
        58:{2,5,7}:{(37,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(38,1),(40,1),(83,1),(86,1),(87,1),(141,1),(146,1),(307,1)}
        60:{1,2,5,6}:{(39,1),(80,1),(85,1),(88,1),(225,1),(279,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(81,1),(86,1),(88,1),(89,1),(148,1),(150,1),(224,1),(225,1),(227,1),(279,1)}
        62:{1,3,4,6}:{(40,1),(87,1),(89,1),(90,1),(165,1),(236,1),(286,1)}
        63:{2,4,5,6}:{(41,1),(70,1),(91,1),(92,1),(161,1),(233,1),(273,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(74,1),(93,1),(221,1),(227,1),(273,1)}
        65:{1,4,5,6}:{(42,1),(75,1),(93,1),(94,1),(236,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(93,1),(95,1),(165,1),(166,1),(228,1),(236,1),(306,1)}
        67:{2,4,5,7}:{(44,1),(45,1),(79,1),(95,1),(97,1),(140,1),(207,1),(216,1),(229,1),(237,1)}
        68:{1,2,4,5}:{(45,1),(80,1),(98,1),(158,1),(170,1),(225,1)}
        69:{2,3,5}:{(45,1),(81,1),(98,1),(99,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(63,1),(100,1),(101,1),(172,1),(243,1),(246,1)}
        71:{2,3,6,7}:{(47,1),(100,1),(102,1),(108,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(101,1),(102,1)}
        73:{1,2,5,6,7}:{(48,1),(52,1),(103,1),(104,1),(114,1),(178,1),(246,1),(293,1),(297,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(64,1),(105,1),(183,1),(191,1),(246,1)}
        75:{1,4,5,7}:{(49,1),(51,1),(65,1),(105,1),(106,1),(249,1)}
        76:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(55,1),(66,1),(102,1),(105,1),(107,1),(108,1),(171,1),(180,1),(181,1),(190,1),(245,1),(249,1)}
        77:{2,4,6,7}:{(51,1),(52,1),(106,1),(108,1)}
        78:{2,3,5,6,7}:{(52,1),(57,1),(104,1),(108,1),(109,1),(115,1),(175,1),(179,1),(183,1),(191,1),(246,1),(248,1),(254,1),(297,1),(313,1)}
        79:{2,4,7}:{(53,1),(54,1),(58,1),(111,1)}
        80:{1,2,4,6}:{(54,1),(60,1),(68,1),(110,1),(112,1),(121,1),(188,1)}
        81:{2,3,6}:{(54,1),(69,1),(111,1),(112,1)}
        82:{2,6,7}:{(55,1),(58,1)}
        83:{1,3,6,7}:{(56,1),(59,1),(108,1),(115,1),(256,1),(313,1)}
        84:{1,4,6,7}:{(57,1),(109,1),(117,1),(249,1),(296,1)}
        85:{1,2,5,7}:{(58,1),(60,1),(110,1),(114,1),(118,1),(255,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(111,1),(115,1),(118,1),(119,1),(185,1),(191,1),(255,1)}
        87:{1,3,4,7}:{(59,1),(62,1),(119,1),(180,1),(249,1),(294,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(112,1),(118,1),(121,1),(189,1),(256,1),(257,1)}
        89:{2,4,6}:{(61,1),(62,1),(119,1),(121,1),(122,1)}
        90:{1,3,4,5}:{(62,1),(122,1),(189,1),(202,1),(265,1),(302,1)}
        91:{2,3,5,6}:{(63,1),(100,1),(123,1),(124,1),(127,1)}
        92:{1,4,5,6}:{(63,1),(101,1),(124,1),(262,1),(293,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(66,1),(105,1),(126,1),(127,1),(257,1),(293,1)}
        94:{2,4,5,6}:{(65,1),(106,1),(126,1),(127,1),(201,1)}
        95:{2,4,6}:{(66,1),(67,1),(126,1),(129,1)}
        96:{1,2,4,5,7}:{(67,1),(68,1),(110,1),(128,1),(130,1),(178,1),(193,1),(206,1),(240,1),(249,1),(255,1),(258,1),(265,1),(266,1),(291,1),(295,1),(311,1)}
        97:{2,3,5,7}:{(67,1),(69,1),(111,1),(129,1),(130,1),(131,1),(205,1),(241,1),(259,1)}
        98:{1,3,5}:{(68,1),(69,1),(112,1),(132,1),(133,1)}
        99:{2,3,4}:{(69,1),(133,1)}
       100:{2,3,5,7}:{(70,1),(71,1),(91,1),(134,1),(135,1),(141,1)}
       101:{1,4,5,7}:{(70,1),(72,1),(92,1),(135,1),(269,1),(272,1)}
       102:{1,3,6,7}:{(71,1),(72,1),(135,1),(137,1)}
       103:{1,2,4,6,7}:{(72,1),(73,1),(77,1),(136,1),(137,1),(138,1),(139,1),(212,1),(306,1),(308,1),(314,1)}
       104:{1,3,5,6,7}:{(73,1),(78,1),(138,1),(139,1),(151,1),(213,1),(215,1),(226,1),(278,1)}
       105:{1,3,5,7}:{(74,1),(75,1),(76,1),(93,1),(140,1),(141,1),(226,1),(272,1)}
       106:{2,4,5,7}:{(75,1),(77,1),(94,1),(140,1),(141,1),(216,1)}
       107:{2,4,6,7}:{(76,1),(79,1),(82,1),(95,1),(137,1),(140,1),(143,1),(207,1),(216,1)}
       108:{3,6,7}:{(77,1),(141,1)}
       109:{2,4,6,7}:{(78,1),(84,1),(139,1),(144,1),(145,1),(216,1),(274,1),(276,1),(308,1)}
       110:{1,2,4,7}:{(79,1),(80,1),(85,1),(146,1),(155,1),(222,1)}
       111:{2,3,7}:{(79,1),(81,1),(146,1)}
       112:{1,3,6}:{(80,1),(81,1),(98,1),(146,1),(148,1)}
       113:{2,3,4,6}:{(81,1),(89,1),(99,1),(147,1),(149,1),(150,1),(224,1),(286,1)}
       114:{1,2,6,7}:{(82,1),(85,1),(151,1),(279,1)}
       115:{2,3,6,7}:{(82,1),(83,1),(86,1),(151,1),(152,1),(224,1),(279,1)}
       116:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(144,1),(152,1),(153,1),(157,1)}
       117:{1,4,5,7}:{(84,1),(145,1),(153,1),(154,1),(272,1)}
       118:{1,3,5,7}:{(85,1),(86,1),(88,1),(146,1),(151,1),(155,1),(226,1)}
       119:{2,4,7}:{(86,1),(87,1),(89,1),(155,1)}
       120:{1,3,4,5,7}:{(87,1),(90,1),(153,1),(156,1),(157,1),(217,1),(223,1),(275,1),(307,1)}
       121:{1,4,6}:{(88,1),(89,1),(155,1),(158,1)}
       122:{2,4,5}:{(89,1),(90,1),(150,1),(158,1),(225,1)}
       123:{2,3,4,6}:{(91,1),(134,1),(159,1),(160,1),(165,1),(233,1),(282,1)}
       124:{1,3,5,6}:{(91,1),(92,1),(135,1),(160,1),(161,1)}
       125:{1,2,4,5,6}:{(92,1),(94,1),(136,1),(161,1),(162,1),(163,1),(214,1),(230,1),(233,1),(236,1),(273,1),(285,1),(287,1),(306,1),(308,1),(310,1),(314,1)}
       126:{2,5,6}:{(93,1),(95,1),(140,1)}
       127:{3,5,6}:{(94,1),(141,1),(165,1)}
       128:{1,2,4,6}:{(95,1),(96,1),(163,1),(166,1),(228,1),(236,1),(238,1),(279,1),(306,1),(308,1),(314,1)}
       129:{2,3,6}:{(95,1),(97,1),(166,1)}
       130:{1,3,5,7}:{(96,1),(97,1),(98,1),(146,1),(166,1),(168,1),(169,1),(239,1),(267,1),(280,1),(307,1)}
       131:{2,3,4,7}:{(97,1),(99,1),(167,1),(169,1),(216,1),(281,1)}
       132:{2,3,5}:{(98,1),(148,1),(170,1),(225,1)}
       133:{1,3,4}:{(98,1),(99,1),(170,1)}
       134:{2,3,4,7}:{(100,1),(123,1),(171,1),(180,1),(243,1),(288,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(102,1),(124,1),(171,1),(172,1)}
       136:{1,2,4,5,7}:{(101,1),(103,1),(106,1),(125,1),(172,1),(173,1),(177,1),(178,1),(240,1),(243,1),(246,1),(249,1),(291,1),(295,1),(311,1)}
       137:{2,6,7}:{(102,1),(172,1)}
       138:{1,3,6,7}:{(103,1),(108,1),(173,1),(175,1),(312,1),(313,1)}
       139:{1,4,6,7}:{(104,1),(109,1),(177,1),(249,1),(296,1)}
       140:{2,5,7}:{(105,1),(107,1),(126,1)}
       141:{3,5,7}:{(106,1),(108,1),(127,1),(180,1)}
       142:{1,2,4,6,7}:{(107,1),(110,1),(114,1),(128,1),(174,1),(178,1),(181,1),(190,1),(240,1),(245,1),(249,1),(252,1)}
       143:{2,3,6,7}:{(107,1),(108,1),(111,1),(129,1),(179,1),(181,1),(241,1)}
       144:{3,4,6,7}:{(108,1),(109,1),(180,1),(183,1),(251,1),(294,1),(313,1)}
       145:{2,4,5,7}:{(109,1),(117,1),(177,1),(183,1),(184,1),(191,1),(246,1)}
       146:{1,3,7}:{(110,1),(111,1),(112,1),(185,1)}
       147:{2,3,4,7}:{(111,1),(113,1),(119,1),(186,1),(187,1),(294,1)}
       148:{2,3,6}:{(112,1),(132,1),(185,1),(188,1)}
       149:{1,3,4,6}:{(112,1),(113,1),(121,1),(133,1),(186,1),(188,1),(189,1),(256,1)}
       150:{2,3,5}:{(113,1),(122,1),(189,1),(302,1)}
       151:{1,3,6,7}:{(114,1),(115,1),(118,1),(190,1),(256,1)}
       152:{2,4,6,7}:{(115,1),(116,1),(119,1),(190,1),(191,1),(194,1)}
       153:{1,3,5,7}:{(116,1),(117,1),(183,1),(191,1),(192,1)}
       154:{1,4,5,6}:{(117,1),(184,1),(192,1),(293,1),(296,1)}
       155:{1,4,7}:{(118,1),(119,1),(121,1)}
       156:{2,4,5,7}:{(119,1),(120,1),(122,1),(187,1),(191,1),(193,1),(194,1),(255,1)}
       157:{1,3,4,6}:{(120,1),(192,1),(194,1),(251,1),(256,1),(296,1),(313,1)}
       158:{1,4,5}:{(121,1),(122,1),(189,1)}
       159:{2,3,4,5}:{(123,1),(195,1),(202,1),(263,1),(298,1)}
       160:{1,3,4,6}:{(123,1),(124,1),(171,1),(195,1),(196,1),(260,1),(262,1)}
       161:{2,5,6}:{(124,1),(172,1),(196,1)}
       162:{1,3,5,6}:{(125,1),(127,1),(173,1),(198,1),(199,1),(260,1),(301,1),(302,1),(312,1),(313,1)}
       163:{1,2,5,6}:{(126,1),(128,1),(178,1),(200,1),(257,1),(266,1),(293,1),(297,1)}
       164:{2,3,5,6}:{(126,1),(127,1),(129,1),(179,1),(200,1),(201,1),(205,1)}
       165:{3,4,6}:{(127,1),(180,1),(201,1),(202,1)}
       166:{1,3,6}:{(128,1),(129,1),(130,1),(203,1),(313,1)}
       167:{2,3,4,6}:{(129,1),(131,1),(201,1),(204,1),(205,1)}
       168:{2,3,5,7}:{(130,1),(132,1),(185,1),(203,1),(206,1),(255,1),(266,1),(288,1),(298,1),(311,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(133,1),(204,1),(206,1),(249,1),(294,1),(299,1)}
       170:{2,4}:{(132,1),(133,1)}
       171:{1,3,4,7}:{(134,1),(135,1),(160,1),(207,1),(267,1),(269,1)}
       172:{2,5,7}:{(135,1),(137,1),(161,1),(207,1)}
       173:{1,3,5,7}:{(136,1),(138,1),(141,1),(162,1),(209,1),(210,1),(267,1),(307,1)}
       174:{1,2,6,7}:{(137,1),(208,1),(211,1),(314,1)}
       175:{2,3,6,7}:{(137,1),(138,1),(209,1),(211,1),(212,1),(305,1),(314,1)}
       176:{1,3,4,6,7}:{(138,1),(139,1),(144,1),(210,1),(212,1),(213,1),(271,1)}
       177:{1,4,5,7}:{(139,1),(145,1),(213,1),(214,1),(226,1)}
       178:{1,2,5,7}:{(140,1),(142,1),(163,1),(215,1),(226,1),(272,1),(277,1)}
       179:{2,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(215,1),(216,1)}
       180:{3,4,7}:{(141,1),(165,1),(216,1)}
       181:{1,3,6,7}:{(142,1),(143,1),(146,1),(166,1),(215,1),(218,1),(267,1)}
       182:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(152,1),(167,1),(212,1),(216,1),(219,1),(220,1),(224,1),(268,1),(276,1),(305,1)}
       183:{3,5,7}:{(144,1),(145,1),(221,1)}
       184:{2,4,5,6}:{(145,1),(154,1),(214,1),(221,1),(227,1),(273,1),(276,1),(308,1)}
       185:{2,3,7}:{(146,1),(148,1),(222,1)}
       186:{1,3,4,7}:{(146,1),(147,1),(149,1),(155,1),(222,1),(223,1)}
       187:{2,3,5,7}:{(147,1),(150,1),(156,1),(223,1),(224,1),(307,1)}
       188:{2,4,6}:{(148,1),(149,1),(170,1),(222,1),(225,1),(279,1)}
       189:{1,3,5}:{(149,1),(150,1),(158,1),(225,1)}
       190:{1,4,6,7}:{(151,1),(152,1),(155,1),(226,1),(228,1)}
       191:{2,5,7}:{(152,1),(153,1),(226,1),(227,1)}
       192:{1,3,5,6}:{(153,1),(154,1),(157,1),(221,1),(227,1)}
       193:{1,4,5,7}:{(155,1),(156,1),(158,1),(223,1),(226,1),(228,1)}
       194:{2,4,6}:{(156,1),(157,1),(224,1),(227,1),(228,1),(279,1)}
       195:{1,3,4,5}:{(159,1),(160,1),(229,1),(280,1),(285,1)}
       196:{2,4,6}:{(160,1),(161,1),(207,1),(229,1),(231,1)}
       197:{1,2,5,6}:{(161,1),(208,1),(230,1),(232,1),(310,1),(314,1)}
       198:{2,3,5,6}:{(161,1),(162,1),(209,1),(231,1),(232,1),(233,1),(273,1),(282,1),(284,1),(305,1),(310,1),(314,1)}
       199:{1,3,4,6}:{(162,1),(165,1),(210,1),(233,1),(234,1),(236,1),(286,1)}
       200:{1,3,5,6}:{(163,1),(164,1),(166,1),(215,1),(235,1),(236,1),(239,1)}
       201:{2,4,6}:{(164,1),(165,1),(216,1),(236,1),(237,1)}
       202:{3,4,5}:{(165,1),(237,1)}
       203:{2,3,6}:{(166,1),(168,1),(238,1),(279,1),(314,1)}
       204:{1,3,4,6}:{(166,1),(167,1),(169,1),(236,1),(238,1),(239,1),(286,1)}
       205:{2,3,5}:{(167,1),(237,1),(239,1)}
       206:{2,4,7}:{(168,1),(169,1),(170,1),(238,1),(309,1)}
       207:{2,4,7}:{(171,1),(172,1),(196,1),(241,1)}
       208:{1,2,5,7}:{(172,1),(174,1),(197,1),(240,1),(242,1),(311,1)}
       209:{2,3,5,7}:{(172,1),(173,1),(175,1),(198,1),(241,1),(242,1),(243,1),(246,1),(288,1),(311,1)}
       210:{1,3,4,7}:{(173,1),(180,1),(199,1),(243,1),(249,1),(294,1)}
       211:{1,3,6,7}:{(174,1),(175,1),(242,1),(245,1),(312,1)}
       212:{2,4,6,7}:{(175,1),(176,1),(243,1),(245,1),(246,1),(292,1)}
       213:{1,3,5,7}:{(176,1),(177,1),(183,1),(246,1),(247,1)}
       214:{1,4,5,6}:{(177,1),(184,1),(247,1),(257,1),(296,1)}
       215:{1,3,5,7}:{(178,1),(179,1),(181,1),(200,1),(248,1),(249,1)}
       216:{2,4,7}:{(179,1),(180,1),(201,1),(249,1)}
       217:{3,4,5,7}:{(180,1),(183,1),(202,1),(250,1),(251,1)}
       218:{2,3,6,7}:{(181,1),(185,1),(203,1),(248,1),(252,1),(288,1),(313,1)}
       219:{1,3,4,6,7}:{(181,1),(182,1),(186,1),(190,1),(204,1),(245,1),(249,1),(252,1),(253,1),(256,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       220:{2,3,5,7}:{(182,1),(183,1),(191,1),(205,1),(246,1),(250,1),(253,1),(254,1)}
       221:{3,5,6}:{(183,1),(184,1),(251,1),(313,1)}
       222:{2,4,7}:{(185,1),(186,1),(188,1),(255,1)}
       223:{1,3,5,7}:{(186,1),(187,1),(189,1),(193,1),(255,1),(256,1)}
       224:{2,3,6}:{(187,1),(194,1),(256,1),(313,1)}
       225:{2,5}:{(188,1),(189,1)}
       226:{1,5,7}:{(190,1),(191,1),(257,1)}
       227:{2,5,6}:{(191,1),(192,1),(194,1),(257,1)}
       228:{1,4,6}:{(193,1),(194,1),(256,1),(257,1)}
       229:{2,4,5}:{(195,1),(196,1),(259,1)}
       230:{1,2,4,6}:{(196,1),(197,1),(240,1),(258,1),(260,1),(262,1),(300,1)}
       231:{2,3,6}:{(196,1),(241,1),(259,1),(260,1)}
       232:{1,3,5,6}:{(197,1),(198,1),(242,1),(260,1),(262,1),(293,1),(301,1),(312,1)}
       233:{2,4,6}:{(198,1),(199,1),(243,1),(262,1),(263,1)}
       234:{1,3,4,5}:{(199,1),(202,1),(263,1),(265,1),(301,1),(302,1)}
       235:{2,3,5,6}:{(200,1),(203,1),(248,1),(264,1),(266,1),(297,1),(302,1),(313,1)}
       236:{1,4,6}:{(200,1),(201,1),(249,1),(264,1),(265,1)}
       237:{2,4,5}:{(201,1),(202,1),(205,1),(265,1)}
       238:{2,4,6}:{(203,1),(204,1),(206,1),(266,1)}
       239:{1,3,5}:{(204,1),(205,1),(265,1),(266,1),(302,1)}
       240:{1,2,4,7}:{(207,1),(208,1),(230,1),(267,1),(269,1),(303,1)}
       241:{2,3,7}:{(207,1),(231,1),(267,1)}
       242:{1,3,5,7}:{(208,1),(209,1),(211,1),(232,1),(267,1),(269,1),(272,1)}
       243:{2,4,7}:{(209,1),(210,1),(233,1),(269,1)}
       244:{1,3,4,5,7}:{(210,1),(213,1),(217,1),(234,1),(270,1),(271,1),(275,1),(304,1),(307,1)}
       245:{1,4,6,7}:{(211,1),(212,1),(269,1),(272,1),(306,1)}
       246:{2,5,7}:{(212,1),(213,1),(272,1),(273,1)}
       247:{1,3,5,6}:{(213,1),(214,1),(221,1),(271,1),(273,1)}
       248:{2,3,5,7}:{(215,1),(218,1),(235,1),(274,1),(277,1),(307,1)}
       249:{1,4,7}:{(215,1),(216,1),(236,1),(274,1)}
       250:{2,4,5,7}:{(216,1),(217,1),(220,1),(237,1),(275,1),(276,1)}
       251:{3,4,6}:{(217,1),(221,1),(276,1)}
       252:{2,4,6,7}:{(218,1),(219,1),(222,1),(238,1),(274,1),(277,1),(279,1),(303,1),(308,1),(314,1)}
       253:{1,3,5,7}:{(219,1),(220,1),(226,1),(239,1),(272,1),(275,1),(277,1),(278,1),(307,1)}
       254:{2,3,5,6}:{(220,1),(221,1),(224,1),(227,1),(273,1),(276,1),(278,1),(305,1)}
       255:{2,5,7}:{(222,1),(223,1),(225,1),(279,1)}
       256:{1,3,6}:{(223,1),(224,1),(228,1),(279,1)}
       257:{1,5,6}:{(226,1),(227,1),(228,1)}
       258:{1,2,4,5}:{(229,1),(230,1),(280,1),(285,1),(309,1),(310,1)}
       259:{2,3,5}:{(229,1),(231,1),(280,1),(281,1)}
       260:{1,3,6}:{(230,1),(231,1),(267,1),(280,1),(282,1)}
       261:{2,3,4,6}:{(231,1),(233,1),(268,1),(281,1),(283,1),(284,1),(286,1),(305,1)}
       262:{1,4,6}:{(232,1),(233,1),(269,1),(285,1)}
       263:{2,4,5}:{(233,1),(234,1),(284,1),(285,1),(310,1)}
       264:{2,4,6}:{(235,1),(236,1),(274,1),(286,1),(287,1)}
       265:{1,4,5}:{(236,1),(237,1),(239,1),(287,1)}
       266:{2,5}:{(238,1),(239,1)}
       267:{1,3,7}:{(240,1),(241,1),(260,1),(288,1)}
       268:{2,3,4,7}:{(241,1),(243,1),(261,1),(289,1),(290,1),(294,1)}
       269:{1,4,7}:{(242,1),(243,1),(262,1)}
       270:{2,4,5,7}:{(243,1),(244,1),(246,1),(263,1),(290,1),(291,1),(292,1),(311,1)}
       271:{1,3,4,6}:{(244,1),(247,1),(251,1),(292,1),(296,1),(312,1),(313,1)}
       272:{1,5,7}:{(245,1),(246,1),(293,1)}
       273:{2,5,6}:{(246,1),(247,1),(292,1),(293,1)}
       274:{2,4,7}:{(248,1),(249,1),(264,1),(294,1)}
       275:{1,4,5,7}:{(249,1),(250,1),(253,1),(265,1),(295,1),(296,1)}
       276:{2,4,6}:{(250,1),(251,1),(254,1),(296,1)}
       277:{2,5,7}:{(252,1),(253,1),(266,1),(297,1)}
       278:{1,3,5,6}:{(253,1),(254,1),(256,1),(257,1),(293,1),(296,1),(297,1),(312,1),(313,1)}
       279:{2,6}:{(255,1),(256,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(298,1),(299,1)}
       281:{2,3,4}:{(259,1),(299,1)}
       282:{2,3,6}:{(260,1),(288,1),(298,1),(300,1)}
       283:{1,3,4,6}:{(260,1),(261,1),(262,1),(289,1),(299,1),(300,1),(301,1),(312,1)}
       284:{2,3,5}:{(261,1),(263,1),(301,1),(302,1)}
       285:{1,4,5}:{(262,1),(263,1),(301,1)}
       286:{3,4,6}:{(264,1),(294,1),(302,1),(313,1)}
       287:{2,4,5}:{(264,1),(265,1),(266,1),(302,1)}
       288:{2,3,7}:{(267,1),(282,1),(303,1)}
       289:{1,3,4,7}:{(267,1),(268,1),(269,1),(283,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(268,1),(270,1),(284,1),(304,1),(305,1),(307,1)}
       291:{1,4,5,7}:{(269,1),(270,1),(272,1),(285,1),(304,1),(306,1)}
       292:{2,4,6}:{(270,1),(271,1),(273,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(272,1),(273,1),(306,1)}
       294:{3,4,7}:{(274,1),(286,1),(307,1)}
       295:{2,4,5,7}:{(274,1),(275,1),(277,1),(287,1),(307,1),(308,1)}
       296:{1,4,6}:{(275,1),(276,1),(278,1),(308,1)}
       297:{2,5,6}:{(277,1),(278,1),(279,1),(308,1),(314,1)}
       298:{2,3,5}:{(280,1),(282,1),(309,1),(310,1)}
       299:{1,3,4}:{(280,1),(281,1),(309,1)}
       300:{2,4,6}:{(282,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       301:{1,3,5}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,4,7}:{(288,1),(289,1),(300,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(301,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{3,5,7}:{(294,1),(295,1),(302,1),(313,1)}
       308:{2,4,6}:{(295,1),(296,1),(297,1),(313,1)}
       309:{2,4}:{(298,1),(299,1)}
       310:{2,5}:{(300,1),(301,1)}
       311:{2,5,7}:{(303,1),(304,1),(310,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(307,1),(308,1)}
       314:{2,6}:{(311,1),(312,1)}

1674 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1675 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(28,1),(31,1),(40,1),(42,1),(87,1),(94,1),(95,1),(151,1),(175,1),(217,1),(222,1),(228,1),(270,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(75,1),(145,1),(217,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(45,1),(48,1),(53,1),(60,1),(71,1),(116,1),(179,1),(184,1),(185,1),(197,1),(198,1),(242,1),(245,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(188,1),(245,1),(248,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(55,1),(59,1),(64,1),(66,1),(124,1),(199,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(245,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(110,1),(183,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(73,1),(80,1),(87,1),(92,1),(144,1),(153,1),(154,1),(167,1),(213,1),(217,1),(228,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(27,1),(28,1),(29,1),(31,1),(76,1),(80,1),(87,1),(94,1),(147,1),(153,1),(161,1),(217,1),(228,1)}
        12:{1,3,4,6}:{(3,1),(29,1),(30,1),(37,1),(88,1),(100,1),(163,1),(164,1),(211,1),(230,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(270,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(87,1),(94,1),(158,1),(227,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(230,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(90,1),(94,1),(162,1),(222,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(145,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,4,6,7}:{(12,1),(44,1),(45,1),(47,1),(108,1),(113,1),(184,1),(185,1),(245,1)}
        24:{1,3,5,6,7}:{(17,1),(45,1),(46,1),(47,1),(113,1),(176,1)}
        25:{1,3,5,7}:{(10,1),(48,1),(49,1),(50,1),(116,1),(129,1),(202,1),(242,1),(245,1),(254,1)}
        26:{1,2,4,6}:{(10,1),(50,1),(51,1),(55,1),(115,1),(120,1),(124,1),(199,1),(240,1),(306,1)}
        27:{2,3,5,7}:{(11,1),(52,1),(53,1),(54,1),(71,1),(123,1),(139,1),(242,1),(245,1),(254,1),(283,1)}
        28:{1,4,5,7}:{(11,1),(53,1),(55,1),(58,1),(110,1),(114,1),(131,1),(184,1),(190,1),(197,1)}
        29:{2,4,6}:{(11,1),(12,1),(54,1),(55,1),(56,1),(124,1)}
        30:{1,3,5,6}:{(12,1),(45,1),(56,1),(57,1),(60,1),(116,1),(128,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(124,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(248,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(183,1),(208,1),(245,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(26,1),(72,1),(73,1),(75,1),(140,1),(144,1),(145,1),(217,1)}
        44:{2,4,6,7}:{(23,1),(29,1),(74,1),(75,1),(76,1),(145,1),(147,1),(217,1)}
        45:{1,3,5,7}:{(23,1),(30,1),(76,1),(77,1),(149,1)}
        46:{2,5,6,7}:{(24,1),(36,1),(76,1),(78,1),(79,1),(210,1)}
        47:{1,4,6,7}:{(24,1),(37,1),(77,1),(79,1),(211,1),(220,1)}
        48:{1,3,4,7}:{(25,1),(80,1),(81,1),(144,1),(216,1),(233,1),(275,1)}
        49:{2,3,5,7}:{(25,1),(80,1),(82,1),(83,1),(87,1),(153,1),(158,1),(227,1)}
        50:{1,3,6}:{(25,1),(26,1),(83,1),(230,1),(264,1)}
        51:{1,2,5,6}:{(26,1),(73,1),(84,1),(90,1),(153,1),(162,1),(167,1),(210,1),(302,1)}
        52:{2,3,4,7}:{(27,1),(31,1),(80,1),(85,1),(86,1),(103,1),(147,1),(158,1),(174,1),(216,1),(267,1),(268,1),(275,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(85,1),(87,1),(88,1),(160,1),(175,1),(297,1)}
        54:{2,3,6}:{(27,1),(29,1),(88,1),(100,1),(172,1),(230,1),(264,1),(296,1)}
        55:{1,4,6}:{(28,1),(29,1),(88,1),(90,1)}
        56:{2,5,6}:{(29,1),(30,1),(76,1),(90,1),(94,1),(153,1)}
        57:{1,4,5,6}:{(30,1),(37,1),(77,1),(91,1),(95,1),(154,1),(163,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(87,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(162,1),(169,1),(172,1),(227,1),(230,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(270,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(145,1),(172,1),(220,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(50,1),(106,1),(107,1),(245,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(51,1),(107,1),(110,1),(178,1),(183,1),(307,1)}
        74:{2,3,6,7}:{(44,1),(54,1),(108,1),(109,1),(113,1),(187,1),(245,1)}
        75:{1,4,6,7}:{(44,1),(55,1),(108,1),(110,1),(184,1)}
        76:{2,5,7}:{(44,1),(45,1),(56,1),(110,1)}
        77:{1,4,5,7}:{(45,1),(47,1),(57,1),(111,1),(184,1),(247,1)}
        78:{1,5,6,7}:{(46,1),(65,1),(110,1),(112,1),(239,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(66,1),(111,1),(112,1),(113,1),(187,1),(240,1)}
        80:{2,4,7}:{(48,1),(49,1),(114,1),(115,1),(253,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(115,1),(116,1),(120,1),(194,1)}
        82:{1,3,5,7}:{(49,1),(114,1),(117,1),(118,1),(188,1),(190,1),(248,1)}
        83:{2,3,6}:{(49,1),(50,1),(115,1),(118,1),(124,1)}
        84:{1,3,5,6}:{(50,1),(51,1),(107,1),(116,1),(119,1),(120,1),(202,1),(289,1),(290,1),(306,1)}
        85:{1,3,4,7}:{(52,1),(53,1),(58,1),(114,1),(121,1),(122,1),(129,1),(184,1),(188,1),(209,1),(245,1),(285,1),(286,1)}
        86:{2,3,4,6}:{(52,1),(54,1),(59,1),(115,1),(122,1),(123,1),(126,1),(135,1),(194,1),(195,1),(206,1),(252,1),(253,1),(256,1),(291,1)}
        87:{2,5,7}:{(53,1),(121,1),(124,1),(196,1)}
        88:{1,3,6}:{(53,1),(54,1),(55,1),(124,1),(207,1),(306,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(109,1),(123,1),(125,1),(126,1),(128,1),(201,1),(256,1)}
        90:{1,5,6}:{(55,1),(56,1),(110,1),(131,1),(190,1)}
        91:{2,4,5,6}:{(56,1),(57,1),(66,1),(111,1),(126,1),(127,1),(128,1),(132,1),(191,1),(199,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(121,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(124,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(183,1),(247,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(245,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(81,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(83,1),(140,1),(142,1),(143,1),(145,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(84,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,3,6,7}:{(74,1),(75,1),(88,1),(145,1),(146,1),(220,1)}
       109:{2,3,5,7}:{(74,1),(76,1),(89,1),(146,1),(147,1),(149,1),(219,1),(268,1)}
       110:{1,5,7}:{(75,1),(76,1),(90,1)}
       111:{2,4,5,7}:{(76,1),(77,1),(79,1),(91,1),(147,1),(148,1),(149,1),(217,1),(219,1)}
       112:{1,4,6,7}:{(78,1),(79,1),(99,1),(148,1),(150,1),(263,1)}
       113:{3,6,7}:{(79,1),(100,1),(149,1),(264,1)}
       114:{1,4,7}:{(80,1),(82,1),(152,1),(270,1)}
       115:{2,4,6}:{(80,1),(81,1),(83,1),(152,1),(153,1)}
       116:{1,3,5}:{(81,1),(153,1),(154,1),(224,1)}
       117:{1,2,5,7}:{(82,1),(87,1),(151,1),(155,1),(175,1),(222,1)}
       118:{1,3,6}:{(82,1),(83,1),(152,1),(155,1)}
       119:{2,3,5,6}:{(83,1),(84,1),(143,1),(153,1),(156,1),(157,1),(162,1),(210,1),(224,1),(227,1),(230,1),(264,1),(272,1),(273,1),(296,1)}
       120:{1,4,6}:{(84,1),(144,1),(154,1),(157,1),(233,1)}
       121:{2,4,7}:{(85,1),(87,1),(158,1),(159,1),(299,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(152,1),(159,1),(160,1),(163,1),(166,1),(221,1),(230,1),(233,1),(237,1),(270,1),(274,1),(275,1),(278,1),(303,1)}
       123:{2,3,5}:{(86,1),(94,1),(153,1),(160,1),(161,1),(169,1),(224,1),(235,1),(272,1)}
       124:{2,6}:{(87,1),(88,1)}
       125:{1,3,5,6}:{(88,1),(89,1),(90,1),(146,1),(160,1),(162,1),(163,1),(230,1),(232,1),(278,1)}
       126:{2,4,6}:{(89,1),(147,1),(161,1),(163,1),(164,1)}
       127:{1,4,5,6}:{(90,1),(91,1),(99,1),(148,1),(163,1),(165,1),(168,1),(223,1),(263,1)}
       128:{3,5,6}:{(91,1),(100,1),(149,1),(164,1),(169,1),(224,1),(230,1),(264,1)}
       129:{1,3,7}:{(92,1),(158,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(159,1),(166,1),(167,1),(233,1),(274,1),(302,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(162,1),(167,1),(170,1),(172,1),(232,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(230,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(217,1),(269,1),(299,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(115,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(116,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(118,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(119,1),(178,1),(181,1),(182,1),(183,1),(242,1),(245,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(120,1),(182,1)}
       145:{2,6,7}:{(108,1),(124,1),(183,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(125,1),(183,1),(184,1),(245,1),(247,1),(286,1)}
       147:{2,4,7}:{(109,1),(126,1),(184,1),(185,1)}
       148:{1,4,5,7}:{(110,1),(111,1),(112,1),(127,1),(184,1),(186,1)}
       149:{3,5,7}:{(111,1),(113,1),(128,1),(185,1),(245,1)}
       150:{1,3,6,7}:{(112,1),(113,1),(136,1),(186,1),(187,1),(282,1)}
       151:{1,2,4,7}:{(114,1),(117,1),(121,1),(188,1),(189,1),(209,1),(262,1)}
       152:{1,4,6}:{(114,1),(115,1),(118,1),(190,1)}
       153:{2,5}:{(115,1),(116,1),(190,1)}
       154:{1,4,5}:{(116,1),(120,1),(191,1),(289,1)}
       155:{1,2,6}:{(117,1),(118,1),(124,1),(207,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(181,1),(190,1),(192,1),(193,1),(239,1),(248,1),(250,1),(251,1),(282,1)}
       157:{2,4,6}:{(119,1),(120,1),(182,1),(191,1),(193,1),(194,1),(253,1)}
       158:{2,3,7}:{(121,1),(129,1),(188,1),(195,1),(245,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(195,1),(196,1),(253,1),(293,1),(310,1)}
       160:{1,3,5}:{(122,1),(123,1),(131,1),(190,1),(196,1),(197,1),(254,1),(260,1),(289,1)}
       161:{2,4,5}:{(123,1),(126,1),(197,1),(198,1),(253,1)}
       162:{2,5,6}:{(124,1),(125,1),(183,1),(196,1),(199,1),(293,1)}
       163:{1,4,6}:{(125,1),(126,1),(184,1),(197,1),(199,1)}
       164:{3,4,6}:{(126,1),(128,1),(185,1),(198,1)}
       165:{1,3,5,6}:{(127,1),(128,1),(136,1),(186,1),(200,1),(201,1),(204,1),(250,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(195,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(196,1),(202,1),(289,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(199,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(245,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(152,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(153,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(154,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(145,1),(155,1),(214,1),(220,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(156,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(157,1),(215,1),(216,1)}
       183:{2,5,7}:{(145,1),(146,1),(162,1),(217,1),(299,1)}
       184:{1,4,7}:{(146,1),(147,1),(163,1),(217,1)}
       185:{3,4,7}:{(147,1),(149,1),(164,1)}
       186:{1,3,5,7}:{(148,1),(149,1),(150,1),(165,1),(218,1),(219,1)}
       187:{2,6,7}:{(150,1),(172,1),(219,1),(220,1),(296,1)}
       188:{1,3,7}:{(151,1),(158,1),(221,1)}
       189:{1,2,4,6}:{(151,1),(152,1),(155,1),(159,1),(221,1),(222,1),(237,1),(270,1),(281,1),(305,1)}
       190:{1,5}:{(152,1),(153,1)}
       191:{2,4,5}:{(153,1),(154,1),(157,1),(223,1),(224,1),(272,1)}
       192:{1,2,5,6}:{(155,1),(156,1),(162,1),(214,1),(222,1),(225,1),(232,1),(272,1),(296,1)}
       193:{1,4,6}:{(156,1),(157,1),(215,1),(223,1),(270,1)}
       194:{3,4,6}:{(157,1),(216,1),(224,1),(230,1),(264,1),(275,1)}
       195:{2,3,6}:{(158,1),(159,1),(166,1),(221,1),(227,1),(230,1),(313,1)}
       196:{2,5}:{(159,1),(160,1)}
       197:{1,4,5}:{(160,1),(161,1),(163,1),(228,1),(233,1),(270,1)}
       198:{3,4,5}:{(161,1),(164,1),(169,1),(224,1),(275,1)}
       199:{2,4,6}:{(162,1),(163,1),(217,1),(228,1),(230,1)}
       200:{1,3,4,6}:{(163,1),(164,1),(165,1),(218,1),(229,1),(230,1),(231,1),(278,1)}
       201:{2,5,6}:{(165,1),(172,1),(219,1),(231,1),(232,1),(235,1),(272,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(227,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(228,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(230,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(299,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(190,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(191,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(183,1),(192,1),(243,1),(247,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(193,1)}
       216:{3,4,7}:{(182,1),(194,1),(242,1),(245,1)}
       217:{2,4,7}:{(183,1),(184,1),(199,1),(245,1)}
       218:{1,3,4,7}:{(184,1),(185,1),(186,1),(200,1),(245,1),(246,1),(286,1)}
       219:{2,5,7}:{(186,1),(187,1),(201,1),(246,1),(247,1)}
       220:{1,6,7}:{(187,1),(207,1),(247,1),(306,1)}
       221:{1,3,6}:{(188,1),(189,1),(195,1),(248,1),(311,1)}
       222:{1,2,5}:{(189,1),(190,1),(196,1),(248,1),(260,1)}
       223:{1,4,5}:{(190,1),(191,1),(193,1),(250,1)}
       224:{3,5}:{(191,1),(194,1)}
       225:{1,2,4,6}:{(192,1),(193,1),(199,1),(243,1),(249,1),(251,1),(252,1),(257,1),(293,1)}
       226:{1,3,4,6}:{(193,1),(194,1),(244,1),(250,1),(251,1),(252,1),(282,1),(287,1)}
       227:{2,3,5}:{(195,1),(196,1),(202,1),(248,1),(253,1),(254,1)}
       228:{2,4,5}:{(196,1),(197,1),(199,1),(253,1),(254,1)}
       229:{1,3,4,5}:{(197,1),(198,1),(200,1),(204,1),(250,1),(254,1),(255,1),(258,1),(287,1),(292,1)}
       230:{3,6}:{(199,1),(245,1),(254,1)}
       231:{2,4,6}:{(200,1),(201,1),(246,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,5,6}:{(201,1),(207,1),(247,1),(257,1),(260,1),(289,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(224,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(217,1),(225,1),(266,1),(267,1),(269,1),(299,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(226,1),(265,1),(266,1),(267,1)}
       245:{3,7}:{(217,1),(230,1)}
       246:{2,4,7}:{(218,1),(219,1),(231,1),(268,1),(269,1),(299,1)}
       247:{1,5,7}:{(219,1),(220,1),(232,1),(269,1)}
       248:{1,3,5}:{(221,1),(222,1),(227,1),(270,1)}
       249:{1,2,4,5}:{(222,1),(223,1),(225,1),(228,1),(270,1),(271,1),(272,1),(277,1),(300,1),(304,1),(305,1)}
       250:{1,3,5}:{(223,1),(224,1),(226,1),(272,1)}
       251:{1,3,6}:{(225,1),(230,1),(266,1),(271,1),(273,1)}
       252:{2,4,6}:{(226,1),(267,1),(272,1),(273,1),(274,1),(296,1),(300,1)}
       253:{2,4}:{(227,1),(233,1),(270,1),(275,1)}
       254:{3,5}:{(228,1),(230,1),(275,1)}
       255:{2,4,5}:{(229,1),(231,1),(235,1),(272,1),(276,1),(277,1),(279,1),(300,1),(304,1)}
       256:{2,3,6}:{(230,1),(231,1),(268,1),(276,1),(278,1)}
       257:{1,4,6}:{(231,1),(232,1),(269,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(299,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(250,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(245,1),(251,1),(284,1)}
       267:{2,4,7}:{(244,1),(252,1),(283,1),(284,1),(285,1)}
       268:{2,3,7}:{(245,1),(246,1),(256,1),(286,1)}
       269:{1,4,7}:{(246,1),(247,1),(257,1),(286,1)}
       270:{1,4}:{(248,1),(253,1)}
       271:{1,3,5}:{(249,1),(251,1),(254,1),(287,1),(288,1),(311,1)}
       272:{2,5}:{(250,1),(252,1),(289,1)}
       273:{2,3,6}:{(251,1),(252,1),(284,1),(288,1),(290,1),(293,1)}
       274:{1,4,6}:{(252,1),(285,1),(289,1),(290,1),(306,1),(308,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(289,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(286,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(272,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(273,1),(298,1),(299,1)}
       285:{1,4,7}:{(267,1),(274,1),(297,1),(298,1)}
       286:{1,3,7}:{(268,1),(269,1),(278,1),(299,1)}
       287:{1,3,4}:{(270,1),(271,1),(275,1),(300,1)}
       288:{2,3,5}:{(271,1),(272,1),(273,1),(300,1),(301,1),(304,1),(313,1)}
       289:{1,5}:{(272,1),(274,1)}
       290:{1,3,6}:{(273,1),(274,1),(298,1),(301,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(300,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(299,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(289,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(290,1),(307,1)}
       299:{2,7}:{(286,1),(293,1)}
       300:{2,4}:{(287,1),(288,1),(308,1)}
       301:{1,3,5}:{(288,1),(289,1),(290,1),(308,1),(309,1),(314,1)}
       302:{1,2,6}:{(290,1),(293,1),(307,1),(309,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(299,1),(302,1)}
       308:{1,4}:{(300,1),(301,1)}
       309:{1,2,5}:{(301,1),(302,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1676 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(67,1),(147,1),(237,1),(256,1),(258,1),(366,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(314,1),(415,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(103,1),(414,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(146,1),(256,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(147,1),(280,1),(351,1),(367,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(459,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(258,1),(365,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(104,1),(206,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(314,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(201,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(99,1),(118,1),(120,1),(185,1),(203,1),(317,1),(322,1),(414,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(263,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(254,1),(281,1),(367,1),(390,1),(392,1),(459,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(256,1),(375,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(258,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(143,1),(168,1),(169,1),(242,1),(260,1),(371,1),(376,1),(459,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(414,1),(422,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(204,1),(224,1),(231,1),(321,1),(339,1),(342,1),(423,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(185,1),(206,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(312,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(314,1),(425,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(195,1),(301,1),(407,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(72,1),(84,1),(139,1),(160,1),(162,1),(241,1),(248,1),(250,1),(271,1)}
        41:{1,3,4,5,6}:{(27,1),(65,1),(66,1),(79,1),(136,1),(246,1),(266,1),(268,1),(360,1),(375,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(70,1),(151,1),(238,1),(372,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(456,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(459,1),(466,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(261,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(242,1),(263,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(365,1),(459,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(252,1),(357,1),(371,1),(476,1)}
        63:{1,2,3,5,7}:{(40,1),(96,1),(97,1),(125,1),(190,1),(192,1),(215,1),(300,1),(329,1)}
        64:{1,2,4,6}:{(40,1),(44,1),(95,1),(97,1),(98,1),(297,1),(328,1)}
        65:{2,4,5,6}:{(41,1),(47,1),(94,1),(99,1),(100,1),(118,1),(185,1),(297,1),(402,1)}
        66:{1,3,4,5,7}:{(41,1),(49,1),(100,1),(101,1),(121,1),(186,1),(305,1),(325,1),(326,1),(410,1),(425,1)}
        67:{1,2,3,5}:{(93,1),(103,1),(182,1),(199,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(107,1),(111,1),(199,1),(288,1)}
        69:{2,3,4,5,7}:{(42,1),(46,1),(106,1),(108,1),(109,1),(129,1),(205,1),(212,1),(228,1),(296,1),(319,1),(404,1),(421,1),(423,1),(479,1),(501,1)}
        70:{2,3,4,6}:{(42,1),(47,1),(94,1),(107,1),(109,1),(206,1),(297,1),(422,1)}
        71:{1,3,4}:{(44,1),(104,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(491,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(105,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(540,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(185,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(319,1),(423,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(301,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(415,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(256,1)}
        94:{2,3,5,6}:{(65,1),(70,1),(136,1),(137,1),(375,1)}
        95:{1,3,4,6}:{(64,1),(71,1),(135,1),(138,1),(139,1),(160,1),(248,1)}
        96:{1,2,3,6,7}:{(63,1),(72,1),(140,1),(173,1),(248,1),(272,1),(356,1),(443,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(138,1),(353,1),(382,1)}
        98:{1,2,4,5}:{(64,1),(139,1),(162,1),(238,1),(270,1)}
        99:{1,4,5,6}:{(65,1),(76,1),(136,1),(143,1),(165,1),(344,1),(438,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(78,1),(137,1),(143,1),(144,1),(168,1),(242,1),(353,1),(449,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(358,1),(359,1),(452,1)}
       102:{1,2,3,5,7}:{(67,1),(133,1),(147,1),(148,1),(236,1),(255,1),(258,1),(280,1),(379,1),(389,1)}
       103:{1,2,4}:{(67,1),(146,1)}
       104:{2,3,4}:{(71,1),(146,1),(151,1)}
       105:{2,4,5}:{(68,1),(151,1),(153,1)}
       106:{1,3,4,5,7}:{(68,1),(69,1),(75,1),(152,1),(154,1),(155,1),(159,1),(255,1),(267,1),(270,1),(285,1),(343,1),(365,1),(372,1),(382,1),(459,1),(464,1),(466,1),(510,1),(526,1)}
       107:{1,3,4,6}:{(68,1),(70,1),(76,1),(136,1),(153,1),(155,1),(160,1),(256,1),(344,1)}
       108:{2,3,4,6}:{(69,1),(77,1),(154,1),(156,1),(177,1),(262,1),(286,1),(352,1),(373,1),(450,1),(511,1)}
       109:{2,3,4,7}:{(70,1),(78,1),(137,1),(155,1),(263,1),(353,1),(466,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(150,1),(158,1),(159,1),(382,1),(518,1)}
       111:{1,3,5}:{(71,1),(74,1),(151,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(456,1),(522,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(152,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(519,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(153,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(242,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(372,1),(466,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(357,1),(374,1),(388,1),(391,1),(452,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(459,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(314,1)}
       134:{1,2,4,6}:{(93,1),(103,1),(179,1),(181,1),(182,1),(294,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(206,1),(297,1),(299,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(107,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(109,1),(186,1),(187,1),(425,1)}
       138:{1,3,4,7}:{(95,1),(97,1),(183,1),(190,1),(215,1)}
       139:{1,3,5}:{(95,1),(98,1),(184,1)}
       140:{1,2,4,6,7}:{(96,1),(97,1),(113,1),(189,1),(192,1),(193,1),(403,1),(482,1),(534,1)}
       141:{1,2,4,5,7}:{(97,1),(98,1),(190,1),(192,1),(193,1),(296,1),(306,1)}
       142:{1,2,4,5,6}:{(98,1),(99,1),(115,1),(185,1),(191,1),(193,1),(194,1),(218,1),(297,1),(322,1),(328,1),(402,1),(409,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(117,1),(186,1),(195,1),(221,1),(394,1),(478,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(301,1)}
       145:{1,3,5,6,7}:{(101,1),(121,1),(196,1),(197,1),(311,1),(410,1)}
       146:{1,3,4}:{(103,1),(104,1),(199,1)}
       147:{1,2,3,6}:{(102,1),(201,1),(294,1),(313,1),(436,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(198,1),(201,1),(428,1)}
       149:{1,2,4,5}:{(103,1),(105,1),(182,1),(199,1),(203,1),(288,1)}
       150:{2,3,4,7}:{(104,1),(110,1),(198,1),(204,1),(205,1),(423,1),(498,1)}
       151:{2,3,5}:{(104,1),(105,1),(111,1),(199,1),(206,1)}
       152:{2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(319,1),(323,1),(423,1),(499,1),(542,1)}
       153:{2,4,6}:{(105,1),(107,1),(185,1),(206,1),(208,1)}
       154:{1,3,4,6}:{(106,1),(108,1),(116,1),(207,1),(209,1),(214,1),(313,1),(328,1),(341,1),(393,1),(414,1),(422,1),(532,1)}
       155:{1,3,4,7}:{(107,1),(109,1),(117,1),(186,1),(208,1),(215,1),(314,1),(394,1)}
       156:{2,3,5,6}:{(108,1),(118,1),(209,1),(211,1),(212,1),(222,1),(335,1),(402,1),(486,1),(530,1)}
       157:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(187,1),(210,1),(212,1),(231,1),(303,1),(321,1),(342,1),(403,1),(423,1),(488,1),(489,1),(501,1),(533,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(204,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(205,1),(213,1),(214,1),(215,1),(537,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(206,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(491,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(207,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(208,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(301,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(423,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(146,1),(232,1),(233,1),(256,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(147,1),(234,1),(235,1),(367,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{2,3,4,7}:{(135,1),(138,1),(232,1),(240,1),(263,1),(353,1)}
       184:{2,3,5}:{(135,1),(139,1),(233,1),(238,1)}
       185:{2,5,6}:{(136,1),(153,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(155,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(452,1)}
       188:{1,3,4,5}:{(139,1),(238,1),(246,1),(270,1),(372,1)}
       189:{1,3,4,6,7}:{(138,1),(140,1),(158,1),(239,1),(247,1),(248,1),(272,1),(362,1),(382,1),(444,1),(514,1),(546,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,5,6}:{(139,1),(142,1),(160,1),(241,1),(246,1),(248,1),(249,1),(375,1)}
       192:{1,2,5,7}:{(140,1),(162,1),(247,1),(250,1),(449,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(250,1),(352,1),(362,1)}
       194:{1,2,4,5,7}:{(142,1),(143,1),(164,1),(242,1),(249,1),(251,1),(276,1),(353,1),(376,1),(382,1),(449,1),(454,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(168,1),(252,1),(449,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(358,1),(454,1),(455,1)}
       198:{1,3,4,7}:{(146,1),(148,1),(150,1),(254,1),(255,1),(459,1),(470,1)}
       199:{1,3,5}:{(146,1),(149,1),(151,1),(256,1)}
       200:{1,2,3,5,6}:{(147,1),(234,1),(257,1),(258,1),(350,1),(366,1),(369,1),(379,1),(446,1),(462,1),(474,1),(528,1)}
       201:{1,2,4,6}:{(147,1),(148,1),(254,1),(258,1)}
       202:{1,2,4,5,7}:{(148,1),(149,1),(152,1),(236,1),(255,1),(258,1),(259,1),(260,1),(285,1),(343,1),(365,1),(371,1),(389,1),(459,1),(471,1),(529,1)}
       203:{1,2,4,6}:{(149,1),(153,1),(237,1),(256,1),(260,1),(344,1)}
       204:{2,3,4,6}:{(150,1),(158,1),(254,1),(261,1),(262,1),(373,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(152,1),(159,1),(255,1),(261,1),(262,1),(263,1),(524,1),(550,1)}
       206:{2,3,6}:{(151,1),(153,1),(160,1),(256,1),(263,1)}
       207:{2,4,6}:{(152,1),(154,1),(262,1),(264,1)}
       208:{2,4,7}:{(153,1),(155,1),(242,1),(263,1)}
       209:{1,3,5,6}:{(154,1),(156,1),(165,1),(264,1),(266,1),(267,1),(375,1),(387,1),(438,1),(544,1)}
       210:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(166,1),(243,1),(265,1),(267,1),(272,1),(358,1),(367,1),(382,1),(392,1),(439,1),(452,1),(459,1),(466,1),(517,1),(526,1),(546,1)}
       211:{2,4,5,6}:{(156,1),(266,1),(268,1),(269,1),(373,1)}
       212:{2,3,5,7}:{(156,1),(157,1),(168,1),(267,1),(269,1),(279,1),(388,1),(449,1),(516,1),(545,1)}
       213:{1,3,5}:{(158,1),(162,1),(261,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(262,1)}
       215:{1,3,7}:{(160,1),(164,1),(263,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(518,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(264,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(265,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(357,1),(388,1),(455,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(452,1),(466,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(183,1),(290,1),(314,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(184,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(200,1),(292,1),(293,1),(399,1),(415,1),(497,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(201,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(185,1),(203,1),(291,1),(294,1),(295,1)}
       238:{2,4,5}:{(184,1),(188,1),(288,1),(297,1)}
       239:{2,3,4,6,7}:{(183,1),(189,1),(204,1),(289,1),(298,1),(299,1),(321,1),(398,1),(403,1),(405,1),(423,1),(484,1),(488,1),(533,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(290,1),(296,1),(299,1)}
       241:{2,3,5,6}:{(184,1),(185,1),(191,1),(206,1),(291,1),(297,1),(299,1),(300,1),(402,1)}
       242:{2,5,7}:{(185,1),(186,1),(208,1),(301,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(301,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(212,1),(302,1),(303,1),(311,1),(412,1),(489,1)}
       245:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(304,1),(305,1),(306,1),(404,1),(410,1)}
       246:{1,3,4,6}:{(188,1),(191,1),(297,1),(305,1),(328,1),(422,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(298,1),(306,1),(307,1),(551,1)}
       248:{1,3,6}:{(190,1),(193,1),(299,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(300,1),(305,1),(308,1),(425,1)}
       250:{1,2,5,6}:{(192,1),(193,1),(307,1),(402,1),(534,1)}
       251:{1,2,4,6,7}:{(193,1),(194,1),(195,1),(301,1),(308,1),(309,1),(403,1),(407,1),(411,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(221,1),(478,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(223,1),(303,1),(310,1),(311,1),(407,1),(412,1),(487,1)}
       254:{1,3,4,6}:{(198,1),(201,1),(204,1),(312,1),(313,1),(414,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(202,1),(205,1),(312,1),(313,1),(314,1),(504,1),(543,1)}
       256:{1,3,6}:{(199,1),(203,1),(206,1),(314,1)}
       257:{1,2,4,6}:{(200,1),(292,1),(315,1),(316,1),(414,1),(428,1),(493,1)}
       258:{1,2,5}:{(201,1),(312,1)}
       259:{1,2,4,6}:{(202,1),(207,1),(294,1),(313,1),(317,1),(341,1),(393,1),(414,1),(436,1)}
       260:{1,2,4,7}:{(203,1),(208,1),(295,1),(314,1),(394,1)}
       261:{2,3,5}:{(204,1),(213,1),(312,1),(319,1)}
       262:{2,3,6}:{(205,1),(207,1),(214,1),(313,1)}
       263:{2,3,7}:{(206,1),(208,1),(215,1),(314,1)}
       264:{2,5,6}:{(207,1),(209,1),(323,1)}
       265:{2,4,6,7}:{(207,1),(208,1),(210,1),(301,1),(321,1),(323,1),(423,1),(536,1),(542,1)}
       266:{1,4,5,6}:{(209,1),(211,1),(322,1),(325,1),(328,1),(414,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(221,1),(323,1),(325,1),(425,1),(435,1),(478,1),(551,1)}
       268:{3,4,5,6}:{(211,1),(222,1),(326,1),(422,1),(486,1)}
       269:{2,4,5,7}:{(211,1),(212,1),(303,1),(325,1),(326,1),(423,1)}
       270:{1,4,5}:{(213,1),(319,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(320,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(321,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(322,1),(328,1),(333,1),(334,1),(335,1),(426,1),(430,1),(502,1),(538,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(323,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(407,1),(490,1),(536,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(238,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(239,1),(254,1),(345,1),(346,1),(348,1),(367,1),(439,1),(441,1),(446,1),(459,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(240,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(241,1),(256,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(257,1),(348,1),(459,1),(521,1)}
       293:{1,2,5,7}:{(235,1),(258,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(242,1),(260,1),(347,1),(351,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(245,1),(343,1),(352,1),(353,1),(449,1)}
       297:{2,4,6}:{(238,1),(241,1),(246,1),(344,1),(353,1)}
       298:{2,3,5,7}:{(239,1),(247,1),(261,1),(345,1),(354,1),(355,1),(449,1),(516,1),(545,1)}
       299:{2,3,6}:{(240,1),(248,1),(346,1),(352,1)}
       300:{2,3,5,7}:{(241,1),(242,1),(249,1),(263,1),(347,1),(353,1),(356,1),(449,1)}
       301:{2,6,7}:{(242,1),(243,1)}
       302:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(267,1),(357,1),(358,1),(452,1),(455,1),(517,1)}
       303:{2,4,6,7}:{(244,1),(269,1),(358,1),(359,1)}
       304:{1,3,4,6}:{(245,1),(248,1),(352,1),(360,1),(362,1),(450,1)}
       305:{1,3,4,7}:{(246,1),(249,1),(353,1),(382,1),(466,1)}
       306:{1,4,5,7}:{(247,1),(270,1),(354,1),(362,1),(382,1)}
       307:{1,3,5,6}:{(247,1),(248,1),(250,1),(355,1),(362,1),(514,1),(544,1)}
       308:{1,3,6,7}:{(248,1),(249,1),(251,1),(356,1),(452,1)}
       309:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(276,1),(357,1),(363,1),(449,1),(547,1)}
       310:{1,4,5,6,7}:{(252,1),(253,1),(278,1),(358,1),(364,1),(509,1)}
       311:{3,5,6,7}:{(253,1),(279,1),(359,1),(452,1),(516,1)}
       312:{1,3,5}:{(254,1),(258,1),(261,1),(365,1)}
       313:{1,3,6}:{(255,1),(259,1),(262,1)}
       314:{1,3,7}:{(256,1),(260,1),(263,1)}
       315:{1,3,4,6}:{(257,1),(348,1),(368,1),(369,1),(446,1),(470,1),(528,1)}
       316:{1,2,4,5}:{(257,1),(258,1),(365,1),(369,1),(457,1)}
       317:{1,2,5,6}:{(258,1),(259,1),(264,1),(366,1),(371,1),(387,1),(438,1)}
       318:{1,2,4,6,7}:{(259,1),(260,1),(265,1),(351,1),(367,1),(371,1),(392,1),(439,1),(459,1),(476,1),(529,1)}
       319:{2,4,5}:{(261,1),(270,1),(365,1),(372,1),(373,1)}
       320:{2,3,5,6}:{(261,1),(262,1),(264,1),(271,1),(366,1),(373,1),(374,1),(375,1)}
       321:{2,3,6,7}:{(262,1),(263,1),(265,1),(272,1),(367,1),(374,1),(452,1),(550,1)}
       322:{2,4,5,6}:{(264,1),(266,1),(373,1),(375,1),(376,1)}
       323:{2,5,7}:{(264,1),(265,1),(267,1)}
       324:{1,3,4,5,6}:{(266,1),(268,1),(277,1),(375,1),(377,1),(378,1),(381,1),(458,1),(467,1),(508,1)}
       325:{1,4,5,7}:{(266,1),(267,1),(269,1),(358,1),(376,1),(382,1),(459,1)}
       326:{3,4,5,7}:{(268,1),(269,1),(279,1),(359,1),(466,1),(516,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(372,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(373,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(374,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(375,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(376,1),(382,1),(386,1),(388,1),(469,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(452,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(296,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(297,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(298,1),(312,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(299,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(300,1),(314,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(315,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(316,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(301,1),(397,1)}
       352:{2,4,6}:{(296,1),(299,1),(304,1),(393,1),(402,1)}
       353:{2,4,7}:{(297,1),(300,1),(305,1),(394,1)}
       354:{2,4,5,7}:{(298,1),(306,1),(319,1),(395,1),(404,1),(405,1),(423,1)}
       355:{2,3,5,6}:{(298,1),(299,1),(307,1),(396,1),(402,1),(405,1),(484,1),(486,1),(530,1)}
       356:{2,3,6,7}:{(299,1),(300,1),(301,1),(308,1),(397,1),(403,1)}
       357:{2,5,6,7}:{(301,1),(302,1),(323,1),(407,1),(536,1)}
       358:{1,4,6,7}:{(302,1),(303,1),(325,1),(407,1)}
       359:{3,4,6,7}:{(303,1),(311,1),(326,1)}
       360:{1,3,5,6}:{(304,1),(402,1),(409,1),(410,1),(486,1)}
       361:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(403,1),(410,1),(411,1),(488,1)}
       362:{1,4,6}:{(306,1),(307,1),(405,1)}
       363:{1,3,5,6,7}:{(307,1),(308,1),(309,1),(329,1),(406,1),(410,1),(411,1),(535,1),(551,1)}
       364:{1,3,5,6,7}:{(310,1),(311,1),(336,1),(408,1),(412,1),(531,1)}
       365:{1,4,5}:{(312,1),(319,1),(414,1)}
       366:{1,3,5,6}:{(312,1),(313,1),(317,1),(320,1),(414,1),(415,1)}
       367:{1,3,6,7}:{(313,1),(314,1),(318,1),(321,1),(415,1),(543,1)}
       368:{2,3,4,6}:{(315,1),(398,1),(417,1),(418,1),(484,1),(493,1),(498,1),(541,1)}
       369:{1,3,5}:{(315,1),(316,1),(418,1)}
       370:{1,2,4,5,6}:{(316,1),(317,1),(322,1),(400,1),(414,1),(419,1),(420,1),(426,1),(477,1),(493,1),(502,1),(505,1),(530,1)}
       371:{1,2,5,7}:{(317,1),(318,1),(323,1),(415,1),(435,1),(478,1)}
       372:{3,4,5}:{(319,1),(422,1)}
       373:{2,4,6}:{(319,1),(320,1),(328,1),(414,1),(422,1),(423,1)}
       374:{2,3,5,7}:{(320,1),(321,1),(323,1),(329,1),(415,1),(423,1),(425,1)}
       375:{3,5,6}:{(322,1),(422,1),(425,1)}
       376:{2,4,5,7}:{(322,1),(323,1),(325,1),(407,1),(423,1),(425,1)}
       377:{2,4,5,6}:{(324,1),(335,1),(424,1),(426,1),(427,1),(430,1),(493,1),(502,1),(530,1)}
       378:{1,3,4,5,7}:{(324,1),(325,1),(326,1),(336,1),(408,1),(425,1),(427,1),(431,1),(494,1),(503,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(422,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(423,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(425,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(536,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(352,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(353,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(441,1),(459,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(355,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(356,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(368,1),(444,1),(445,1),(521,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(369,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(357,1),(371,1),(442,1),(447,1),(455,1),(545,1)}
       402:{2,5,6}:{(352,1),(360,1),(438,1),(449,1)}
       403:{2,4,6,7}:{(352,1),(353,1),(356,1),(361,1),(439,1),(449,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(450,1),(466,1),(516,1)}
       405:{2,4,6}:{(354,1),(355,1),(362,1),(441,1),(450,1)}
       406:{2,3,5,6,7}:{(355,1),(356,1),(357,1),(363,1),(374,1),(442,1),(449,1),(451,1),(452,1),(515,1),(516,1),(545,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(376,1),(452,1)}
       408:{1,3,4,6,7}:{(358,1),(359,1),(364,1),(378,1),(452,1),(453,1),(517,1)}
       409:{1,4,5,6}:{(360,1),(362,1),(448,1),(454,1),(544,1)}
       410:{1,3,5,7}:{(360,1),(361,1),(449,1),(454,1),(516,1)}
       411:{1,4,6,7}:{(362,1),(363,1),(382,1),(451,1),(454,1)}
       412:{2,5,6,7}:{(364,1),(388,1),(453,1),(455,1),(545,1)}
       413:{1,3,4,5}:{(365,1),(369,1),(372,1),(457,1),(458,1)}
       414:{1,4,6}:{(365,1),(366,1),(373,1),(459,1)}
       415:{1,3,5,7}:{(366,1),(367,1),(371,1),(374,1),(459,1)}
       416:{1,2,3,6}:{(443,1),(456,1),(460,1),(548,1)}
       417:{1,3,4,6}:{(368,1),(444,1),(460,1),(461,1),(514,1),(518,1),(520,1),(548,1)}
       418:{2,3,5}:{(368,1),(369,1),(457,1),(461,1)}
       419:{1,3,5,6}:{(369,1),(370,1),(375,1),(446,1),(458,1),(462,1),(463,1),(528,1)}
       420:{1,2,4,5,7}:{(370,1),(371,1),(376,1),(447,1),(459,1),(463,1),(469,1),(509,1),(521,1),(527,1),(529,1),(545,1)}
       421:{2,3,4,5}:{(372,1),(380,1),(457,1),(464,1),(465,1),(524,1)}
       422:{3,4,6}:{(372,1),(373,1),(375,1),(466,1)}
       423:{2,4,7}:{(373,1),(374,1),(382,1),(459,1),(466,1)}
       424:{2,3,5,6}:{(375,1),(377,1),(465,1),(467,1),(468,1)}
       425:{3,5,7}:{(375,1),(376,1),(452,1),(466,1)}
       426:{1,4,5,6}:{(377,1),(387,1),(467,1),(469,1),(472,1),(520,1),(544,1)}
       427:{2,4,5,7}:{(377,1),(378,1),(388,1),(453,1),(468,1),(469,1),(473,1),(521,1),(527,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(466,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(402,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(404,1),(413,1),(479,1),(480,1),(494,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(405,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(406,1),(415,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(416,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(417,1),(482,1),(483,1),(539,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(418,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(407,1),(420,1),(481,1),(485,1),(490,1),(533,1),(536,1)}
       448:{2,4,5,6}:{(402,1),(405,1),(409,1),(477,1),(486,1),(487,1),(530,1)}
       449:{2,5,7}:{(402,1),(403,1),(410,1),(478,1)}
       450:{3,4,6}:{(404,1),(405,1),(486,1)}
       451:{2,4,6,7}:{(405,1),(406,1),(411,1),(423,1),(481,1),(487,1),(488,1)}
       452:{3,6,7}:{(407,1),(425,1)}
       453:{2,4,6,7}:{(408,1),(412,1),(427,1),(489,1),(490,1),(536,1)}
       454:{1,4,5,7}:{(409,1),(410,1),(411,1),(487,1),(551,1)}
       455:{1,5,6,7}:{(412,1),(435,1),(490,1),(551,1)}
       456:{1,2,3,5}:{(416,1),(491,1),(495,1),(537,1)}
       457:{2,4,5}:{(413,1),(418,1),(492,1),(493,1)}
       458:{1,3,4,6}:{(413,1),(414,1),(419,1),(422,1),(493,1),(494,1)}
       459:{1,4,7}:{(414,1),(415,1),(423,1)}
       460:{1,2,4,6}:{(416,1),(417,1),(482,1),(491,1),(495,1),(534,1)}
       461:{1,3,5}:{(417,1),(418,1),(492,1),(495,1)}
       462:{2,3,5,6}:{(418,1),(419,1),(484,1),(493,1),(496,1),(497,1),(502,1),(530,1),(541,1)}
       463:{1,3,5,7}:{(419,1),(420,1),(425,1),(485,1),(494,1),(497,1),(543,1)}
       464:{1,3,4,5}:{(421,1),(429,1),(492,1),(499,1),(500,1),(504,1),(537,1)}
       465:{2,3,4,6}:{(421,1),(422,1),(424,1),(430,1),(493,1),(500,1),(501,1),(541,1)}
       466:{3,4,7}:{(422,1),(423,1),(425,1)}
       467:{1,3,5,6}:{(424,1),(426,1),(500,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(424,1),(425,1),(427,1),(489,1),(501,1),(503,1)}
       469:{1,4,5,7}:{(426,1),(427,1),(435,1),(490,1),(503,1),(506,1),(539,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(536,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(448,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(449,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(457,1),(510,1),(511,1),(521,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(450,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(460,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(461,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(452,1),(463,1),(515,1)}
       486:{3,5,6}:{(448,1),(450,1),(516,1)}
       487:{2,4,5,7}:{(448,1),(449,1),(451,1),(454,1),(509,1),(516,1),(545,1)}
       488:{3,4,6,7}:{(450,1),(451,1),(452,1),(466,1),(516,1)}
       489:{2,3,6,7}:{(452,1),(453,1),(468,1),(517,1)}
       490:{1,4,6,7}:{(453,1),(455,1),(469,1),(517,1)}
       491:{1,2,4}:{(456,1),(518,1)}
       492:{1,4,5}:{(457,1),(461,1),(520,1)}
       493:{2,4,6}:{(457,1),(458,1),(462,1),(520,1),(521,1)}
       494:{1,3,4,7}:{(458,1),(459,1),(463,1),(466,1),(521,1)}
       495:{1,2,5}:{(460,1),(461,1)}
       496:{1,3,5,6}:{(461,1),(462,1),(514,1),(520,1),(522,1),(523,1),(544,1),(548,1)}
       497:{2,3,5,7}:{(462,1),(463,1),(515,1),(521,1),(523,1),(527,1),(545,1),(550,1)}
       498:{2,3,4}:{(470,1),(518,1),(524,1)}
       499:{2,4,5}:{(464,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(464,1),(465,1),(467,1),(472,1),(520,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(465,1),(466,1),(468,1),(473,1),(521,1),(526,1),(550,1)}
       502:{2,5,6}:{(467,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(467,1),(468,1),(469,1),(517,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(486,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(487,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(492,1),(532,1),(539,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(488,1),(494,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(495,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(497,1),(533,1),(535,1),(536,1)}
       516:{3,5,7}:{(486,1),(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(503,1),(536,1)}
       518:{1,3,4}:{(491,1),(498,1),(537,1)}
       519:{1,2,4,5}:{(491,1),(492,1),(495,1),(499,1),(537,1),(538,1)}
       520:{1,4,6}:{(492,1),(493,1),(496,1),(539,1)}
       521:{2,4,7}:{(493,1),(494,1),(497,1),(539,1)}
       522:{1,2,5,6}:{(495,1),(496,1),(502,1),(534,1),(538,1),(540,1)}
       523:{1,3,5,7}:{(496,1),(497,1),(535,1),(539,1),(540,1),(551,1),(552,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(537,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(539,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(536,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(516,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(521,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(523,1),(546,1),(547,1)}
       536:{2,6,7}:{(517,1),(527,1)}
       537:{1,3,5}:{(518,1),(519,1),(524,1),(548,1)}
       538:{1,2,4,6}:{(519,1),(520,1),(522,1),(525,1),(548,1),(549,1)}
       539:{1,4,7}:{(520,1),(521,1),(523,1)}
       540:{1,2,5,7}:{(522,1),(523,1),(527,1),(547,1),(549,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(536,1),(540,1)}
       548:{1,3,6}:{(537,1),(538,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(538,1),(539,1),(540,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

1677 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(98,1),(251,1),(334,1),(354,1),(364,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(16,1),(43,1),(47,1),(232,1),(252,1),(261,1),(354,1),(363,1),(444,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(130,1),(201,1),(303,1),(403,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(26,1),(71,1),(283,1),(315,1),(410,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(65,1),(306,1),(411,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(14,1),(38,1),(43,1),(155,1),(249,1),(257,1),(364,1),(365,1),(451,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(171,1),(444,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(14,1),(95,1),(451,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(41,1),(444,1),(452,1)}
         9:{1,3,4,6}:{(4,1),(14,1),(16,1),(17,1),(43,1),(261,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(27,1),(57,1),(68,1),(115,1),(122,1),(130,1),(199,1),(205,1),(321,1),(322,1),(417,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(310,1),(413,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(25,1),(129,1),(303,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(26,1),(27,1),(315,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(60,1),(65,1),(109,1),(129,1),(188,1),(208,1),(311,1),(318,1),(411,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(65,1),(68,1),(218,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(101,1),(153,1),(180,1),(248,1),(274,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(45,1),(80,1),(82,1),(99,1),(153,1),(173,1),(274,1),(275,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(163,1),(171,1),(255,1),(373,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(35,1),(38,1),(43,1),(249,1),(256,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(38,1),(451,1),(452,1)}
        23:{1,3,4,5}:{(16,1),(40,1),(41,1),(452,1),(456,1)}
        24:{1,2,5,6,7}:{(12,1),(37,1),(42,1),(171,1),(238,1),(338,1),(353,1),(362,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(38,1),(43,1),(93,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(16,1),(43,1),(44,1)}
        27:{2,3,4,7}:{(14,1),(17,1),(44,1),(45,1),(95,1),(270,1)}
        28:{1,2,4,5,7}:{(15,1),(42,1),(46,1),(90,1),(95,1),(147,1),(171,1),(236,1),(260,1),(362,1),(368,1),(451,1)}
        29:{1,3,5,6}:{(15,1),(16,1),(40,1),(43,1),(46,1),(47,1),(261,1),(369,1)}
        30:{2,3,5}:{(16,1),(17,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(45,1),(48,1),(49,1),(96,1),(99,1),(177,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(52,1),(53,1),(70,1),(113,1),(137,1),(205,1),(228,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(114,1),(298,1),(325,1),(480,1),(521,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(52,1),(54,1),(55,1),(220,1),(328,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(68,1),(121,1),(129,1),(199,1),(204,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(417,1),(418,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(61,1),(67,1),(128,1),(302,1),(310,1),(410,1)}
        38:{1,4,6}:{(21,1),(22,1),(57,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(64,1),(128,1)}
        40:{1,3,4,6}:{(23,1),(29,1),(64,1),(65,1),(411,1),(416,1)}
        41:{2,4,5}:{(23,1),(30,1),(65,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(61,1),(67,1),(130,1),(190,1),(287,1),(386,1)}
        43:{1,3,6}:{(25,1),(26,1),(68,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(63,1),(68,1),(69,1)}
        45:{1,3,4,7}:{(27,1),(31,1),(69,1),(70,1),(133,1),(225,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(64,1),(67,1),(71,1),(315,1),(415,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(65,1),(68,1),(71,1),(72,1),(129,1),(188,1),(218,1)}
        48:{1,3,5}:{(30,1),(31,1),(66,1),(73,1)}
        49:{1,2,4,6}:{(31,1),(70,1),(73,1),(74,1),(137,1),(141,1)}
        50:{1,3,4,5,6}:{(40,1),(75,1),(76,1),(91,1),(144,1),(162,1),(241,1),(264,1),(369,1),(433,1)}
        51:{1,2,3,5,6}:{(33,1),(77,1),(78,1),(150,1),(153,1),(180,1),(245,1),(273,1),(279,1),(446,1),(497,1),(499,1)}
        52:{1,2,5,7}:{(32,1),(34,1),(78,1),(255,1),(279,1)}
        53:{1,2,4,7}:{(33,1),(77,1),(80,1),(347,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(78,1),(82,1),(99,1),(153,1),(172,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(376,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(85,1),(98,1),(163,1),(171,1),(248,1),(255,1),(338,1),(370,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(38,1),(82,1),(86,1)}
        58:{3,4,5,7}:{(36,1),(86,1),(163,1),(455,1),(456,1)}
        59:{2,3,4,5}:{(41,1),(88,1),(89,1),(170,1),(341,1),(456,1)}
        60:{1,4,5,6}:{(38,1),(84,1),(90,1),(91,1),(256,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(85,1),(90,1),(451,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(43,1),(86,1),(91,1),(93,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(93,1),(94,1),(95,1),(171,1)}
        64:{1,3,4,7}:{(40,1),(46,1),(95,1),(451,1),(455,1)}
        65:{2,4,6}:{(40,1),(41,1),(47,1),(95,1),(96,1)}
        66:{1,4,5}:{(41,1),(48,1),(96,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(46,1),(98,1),(428,1)}
        68:{2,3,6}:{(43,1),(44,1),(93,1),(99,1)}
        69:{1,3,5,7}:{(44,1),(45,1),(48,1),(94,1),(99,1),(100,1)}
        70:{1,2,4,7}:{(45,1),(49,1),(100,1),(101,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(95,1),(98,1),(102,1),(171,1),(236,1),(270,1)}
        72:{1,3,5,6}:{(47,1),(48,1),(96,1),(99,1),(102,1),(103,1),(172,1),(177,1)}
        73:{1,2,5}:{(48,1),(49,1)}
        74:{1,2,3,6}:{(49,1),(101,1),(104,1),(177,1)}
        75:{1,3,4,5,7}:{(50,1),(64,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(65,1),(105,1),(108,1),(109,1),(129,1),(188,1),(289,1),(467,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(110,1),(111,1),(296,1),(326,1),(520,1)}
        78:{1,2,5,6}:{(52,1),(54,1),(113,1),(137,1),(204,1)}
        79:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(110,1),(113,1),(114,1),(119,1)}
        80:{1,3,4,7}:{(53,1),(111,1),(114,1),(115,1),(521,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(112,1),(117,1),(136,1),(198,1),(203,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(114,1),(118,1),(119,1),(193,1),(203,1),(295,1)}
        84:{2,4,5,6}:{(57,1),(60,1),(116,1),(120,1),(121,1),(129,1),(204,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(122,1),(417,1)}
        86:{3,4,6}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,5,7}:{(58,1),(59,1),(63,1),(119,1),(123,1),(124,1),(125,1),(212,1),(216,1),(294,1),(389,1),(393,1),(417,1),(418,1),(488,1),(529,1)}
        88:{2,3,4,6}:{(59,1),(65,1),(105,1),(125,1),(126,1),(218,1),(289,1),(416,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(126,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(61,1),(120,1),(128,1),(310,1)}
        91:{1,3,5,6}:{(60,1),(62,1),(121,1),(128,1),(129,1)}
        92:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(122,1),(128,1),(130,1)}
        93:{2,4,6}:{(62,1),(63,1),(68,1),(129,1),(131,1)}
        94:{1,4,5,7}:{(63,1),(66,1),(69,1),(131,1),(133,1),(220,1)}
        95:{2,4,7}:{(64,1),(65,1),(71,1),(133,1)}
        96:{1,4,6}:{(65,1),(66,1),(72,1),(133,1)}
        97:{1,2,4,5}:{(66,1),(73,1),(127,1),(134,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(71,1),(130,1),(136,1),(287,1)}
        99:{1,3,6}:{(68,1),(69,1),(131,1),(137,1)}
       100:{1,2,5,7}:{(69,1),(70,1),(73,1),(137,1)}
       101:{1,2,3,7}:{(70,1),(74,1),(225,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(133,1),(136,1),(139,1),(220,1),(225,1)}
       103:{1,2,5,6}:{(72,1),(73,1),(134,1),(137,1),(139,1),(188,1)}
       104:{1,2,3,5}:{(73,1),(74,1),(135,1),(141,1)}
       105:{2,3,5,6}:{(76,1),(88,1),(143,1),(144,1),(369,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(95,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(96,1),(144,1),(147,1),(172,1),(336,1),(494,1)}
       110:{1,2,4,5}:{(77,1),(150,1),(243,1),(279,1),(376,1)}
       111:{1,3,4,6}:{(77,1),(80,1),(150,1),(151,1),(153,1),(499,1),(500,1)}
       112:{1,2,5,6,7}:{(78,1),(81,1),(152,1),(179,1),(255,1),(272,1),(333,1),(338,1)}
       113:{1,2,4,6}:{(78,1),(79,1),(82,1),(153,1),(159,1)}
       114:{1,3,5,7}:{(79,1),(80,1),(150,1),(153,1),(154,1)}
       115:{2,3,4,7}:{(80,1),(151,1),(154,1),(155,1),(347,1),(501,1)}
       116:{1,4,5,6}:{(82,1),(84,1),(156,1),(157,1),(172,1)}
       117:{1,4,6,7}:{(81,1),(82,1),(85,1),(156,1),(375,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(86,1),(153,1),(157,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(154,1),(159,1),(160,1),(243,1),(255,1),(347,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(90,1),(156,1),(163,1),(171,1),(255,1)}
       121:{3,5,6}:{(84,1),(86,1),(163,1)}
       122:{3,4,6,7}:{(85,1),(86,1),(163,1),(428,1),(455,1)}
       123:{2,3,4,6}:{(86,1),(87,1),(93,1),(159,1),(164,1),(166,1),(268,1),(371,1),(431,1),(513,1),(541,1)}
       124:{1,3,4,5,7}:{(87,1),(89,1),(94,1),(160,1),(166,1),(167,1),(168,1),(175,1),(259,1),(265,1),(346,1),(375,1),(376,1),(427,1),(435,1),(451,1),(452,1),(455,1),(456,1),(540,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(143,1),(168,1),(270,1),(340,1),(455,1)}
       126:{1,3,4,6}:{(88,1),(89,1),(96,1),(144,1),(168,1),(169,1),(177,1),(261,1),(336,1)}
       127:{2,4,5}:{(89,1),(169,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(92,1),(163,1),(171,1)}
       129:{2,5,6}:{(91,1),(93,1),(171,1),(172,1)}
       130:{2,4,6,7}:{(92,1),(93,1),(95,1),(98,1),(171,1),(173,1)}
       131:{1,4,6}:{(93,1),(94,1),(99,1),(172,1)}
       132:{1,2,4,5,7}:{(94,1),(97,1),(100,1),(167,1),(174,1),(175,1),(176,1),(181,1),(272,1),(279,1),(375,1),(376,1),(434,1),(498,1),(540,1),(550,1)}
       133:{1,4,7}:{(95,1),(96,1),(102,1)}
       134:{1,2,4,6}:{(96,1),(97,1),(103,1),(169,1),(176,1),(177,1)}
       135:{1,3,5}:{(97,1),(170,1),(177,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(102,1),(173,1),(179,1)}
       137:{1,2,6}:{(99,1),(100,1)}
       138:{1,2,3,5,7}:{(100,1),(101,1),(104,1),(175,1),(180,1),(181,1),(279,1),(497,1),(534,1),(550,1)}
       139:{1,2,5,7}:{(102,1),(103,1),(176,1),(179,1),(236,1)}
       140:{1,2,3,5,6}:{(103,1),(104,1),(177,1),(180,1),(182,1),(183,1),(237,1),(273,1),(277,1),(279,1),(378,1),(379,1)}
       141:{1,2,4}:{(104,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(125,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(126,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(133,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(134,1),(188,1),(191,1),(192,1),(221,1),(230,1),(289,1),(318,1),(326,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,5,6}:{(110,1),(113,1),(116,1),(194,1),(195,1),(204,1),(221,1),(296,1),(309,1),(318,1),(326,1),(407,1),(469,1)}
       150:{1,3,5}:{(110,1),(111,1),(196,1)}
       151:{2,3,4,6}:{(111,1),(115,1),(196,1),(197,1),(199,1),(296,1),(472,1),(473,1)}
       152:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(194,1),(198,1),(205,1),(381,1),(386,1),(460,1)}
       153:{1,3,6}:{(113,1),(114,1),(199,1)}
       154:{2,3,5,7}:{(114,1),(115,1),(119,1),(196,1),(199,1),(200,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(396,1),(474,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(203,1),(220,1)}
       157:{1,3,5,6}:{(116,1),(118,1),(121,1),(203,1),(204,1)}
       158:{1,3,4,6,7}:{(117,1),(118,1),(122,1),(198,1),(203,1),(205,1),(295,1)}
       159:{2,4,6}:{(118,1),(119,1),(199,1),(204,1),(206,1)}
       160:{1,4,5,7}:{(119,1),(200,1),(206,1),(297,1),(310,1),(396,1)}
       161:{1,2,4,5}:{(127,1),(208,1),(209,1),(306,1),(385,1),(405,1)}
       162:{3,4,5,6}:{(121,1),(210,1),(211,1),(416,1),(518,1)}
       163:{3,5,7}:{(120,1),(121,1),(122,1)}
       164:{2,3,5,6}:{(121,1),(123,1),(129,1),(204,1),(211,1),(212,1),(213,1),(467,1),(518,1),(543,1)}
       165:{2,3,4,6,7}:{(122,1),(123,1),(125,1),(130,1),(186,1),(205,1),(212,1),(214,1),(285,1),(321,1),(380,1),(388,1),(393,1),(417,1),(465,1),(515,1)}
       166:{1,3,4,6}:{(123,1),(124,1),(131,1),(206,1),(213,1),(215,1),(223,1),(313,1),(326,1),(411,1),(416,1),(464,1),(548,1)}
       167:{2,4,5,7}:{(124,1),(127,1),(215,1),(216,1),(217,1),(319,1),(395,1),(417,1),(418,1),(471,1)}
       168:{1,3,4,7}:{(125,1),(126,1),(133,1),(187,1),(217,1),(225,1),(315,1),(384,1)}
       169:{2,4,6}:{(126,1),(127,1),(188,1),(217,1),(218,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(218,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(130,1),(220,1)}
       172:{1,5,6}:{(129,1),(131,1),(220,1)}
       173:{1,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(220,1)}
       174:{1,2,4,6}:{(131,1),(132,1),(137,1),(215,1),(221,1),(223,1),(326,1),(548,1),(552,1)}
       175:{1,3,5,7}:{(132,1),(135,1),(216,1),(223,1),(224,1),(225,1),(328,1),(470,1),(521,1)}
       176:{1,2,4,7}:{(133,1),(134,1),(139,1),(217,1),(225,1)}
       177:{1,3,6}:{(134,1),(135,1),(218,1),(225,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,6}:{(137,1),(138,1),(223,1),(228,1),(552,1)}
       181:{1,2,4,7}:{(138,1),(141,1),(224,1),(228,1),(520,1)}
       182:{1,2,3,5,7}:{(139,1),(140,1),(225,1),(227,1),(229,1),(288,1),(325,1),(329,1),(330,1)}
       183:{1,2,4,6}:{(140,1),(141,1),(226,1),(229,1),(230,1),(289,1),(326,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(163,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(168,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(169,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(176,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(177,1),(237,1),(240,1),(241,1),(277,1),(369,1),(378,1)}
       193:{1,3,4,5}:{(150,1),(242,1),(243,1),(376,1),(456,1)}
       194:{1,2,4,5,7}:{(149,1),(152,1),(156,1),(244,1),(255,1),(272,1),(347,1),(360,1),(368,1),(375,1),(447,1),(498,1)}
       195:{1,3,5,6}:{(149,1),(150,1),(153,1),(242,1),(244,1),(245,1),(369,1),(499,1)}
       196:{2,3,5}:{(150,1),(151,1),(243,1),(246,1)}
       197:{1,3,4,6}:{(151,1),(155,1),(246,1),(247,1),(249,1),(348,1),(439,1),(440,1)}
       198:{1,3,6,7}:{(152,1),(153,1),(244,1),(248,1),(428,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(249,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(160,1),(246,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(250,1),(251,1)}
       202:{1,3,4,5,6}:{(157,1),(162,1),(242,1),(253,1),(254,1),(264,1),(359,1),(369,1),(450,1),(533,1)}
       203:{1,3,5,7}:{(156,1),(157,1),(158,1),(163,1),(255,1)}
       204:{2,5,6}:{(157,1),(159,1),(255,1),(256,1)}
       205:{2,4,6,7}:{(158,1),(159,1),(248,1),(255,1),(257,1),(347,1)}
       206:{1,4,6}:{(159,1),(160,1),(249,1),(256,1)}
       207:{1,2,4,5,7}:{(160,1),(161,1),(167,1),(250,1),(258,1),(259,1),(260,1),(349,1),(355,1),(362,1),(427,1),(438,1),(444,1),(445,1),(451,1),(452,1)}
       208:{1,2,4,6}:{(161,1),(169,1),(232,1),(260,1),(261,1),(336,1)}
       209:{1,3,5}:{(161,1),(170,1),(261,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(163,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,4,5,6}:{(162,1),(164,1),(263,1),(264,1),(371,1)}
       212:{2,3,5,7}:{(163,1),(164,1),(165,1),(171,1),(255,1),(263,1),(265,1),(430,1),(495,1),(532,1)}
       213:{1,3,5,6}:{(164,1),(166,1),(172,1),(256,1),(264,1),(265,1),(266,1),(369,1),(494,1),(549,1)}
       214:{1,3,4,6,7}:{(165,1),(166,1),(168,1),(173,1),(235,1),(257,1),(265,1),(267,1),(274,1),(337,1),(364,1),(375,1),(423,1),(426,1),(428,1),(435,1),(451,1),(455,1),(531,1)}
       215:{2,4,6}:{(166,1),(167,1),(266,1),(268,1)}
       216:{2,3,5,7}:{(167,1),(170,1),(175,1),(259,1),(268,1),(269,1),(270,1),(373,1),(437,1),(501,1)}
       217:{2,4,7}:{(168,1),(169,1),(236,1),(270,1)}
       218:{2,3,6}:{(169,1),(170,1),(177,1),(261,1),(270,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(173,1)}
       221:{1,2,5,6}:{(172,1),(174,1),(266,1),(272,1),(273,1),(279,1),(549,1)}
       222:{1,2,4,6,7}:{(173,1),(174,1),(176,1),(179,1),(267,1),(272,1),(274,1),(375,1),(490,1),(498,1),(531,1)}
       223:{1,3,6}:{(174,1),(175,1),(268,1)}
       224:{1,3,4,7}:{(175,1),(178,1),(181,1),(269,1),(275,1),(375,1),(500,1)}
       225:{1,3,7}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,6}:{(177,1),(178,1),(183,1),(271,1),(276,1),(277,1),(378,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(274,1),(278,1),(339,1),(378,1),(534,1)}
       228:{1,2,4,6}:{(180,1),(181,1),(275,1),(279,1)}
       229:{1,2,4,7}:{(182,1),(183,1),(276,1),(340,1),(375,1)}
       230:{1,2,4,5}:{(183,1),(277,1),(279,1),(341,1),(376,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(203,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(208,1),(283,1),(284,1),(405,1),(479,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(212,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(217,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(218,1),(284,1),(288,1),(289,1),(324,1),(420,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(225,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(326,1),(416,1)}
       242:{1,3,4,6}:{(193,1),(195,1),(295,1),(296,1),(326,1),(416,1)}
       243:{2,4,5}:{(193,1),(196,1),(296,1),(297,1)}
       244:{1,3,5,7}:{(194,1),(195,1),(198,1),(295,1),(298,1),(415,1),(521,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(204,1),(296,1),(298,1),(299,1),(407,1),(472,1)}
       246:{1,3,5}:{(196,1),(197,1),(297,1),(300,1)}
       247:{1,2,4,6}:{(197,1),(201,1),(300,1),(301,1),(303,1),(401,1)}
       248:{2,3,6,7}:{(198,1),(199,1),(205,1),(298,1),(302,1),(460,1)}
       249:{1,3,6}:{(199,1),(200,1),(206,1),(303,1)}
       250:{1,2,5,7}:{(200,1),(201,1),(300,1),(303,1)}
       251:{1,2,3,7}:{(201,1),(301,1),(474,1)}
       252:{1,2,3,5}:{(209,1),(305,1),(306,1),(405,1)}
       253:{1,3,4,5,7}:{(202,1),(203,1),(210,1),(281,1),(295,1),(308,1),(317,1),(406,1),(415,1),(484,1),(516,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(296,1),(307,1),(308,1),(309,1),(407,1),(483,1),(543,1)}
       255:{2,5,7}:{(203,1),(204,1),(205,1),(310,1)}
       256:{1,5,6}:{(204,1),(206,1),(310,1)}
       257:{1,4,6,7}:{(205,1),(206,1),(302,1),(310,1),(396,1)}
       258:{1,2,4,6}:{(206,1),(207,1),(215,1),(303,1),(311,1),(313,1),(411,1),(464,1),(479,1)}
       259:{1,3,5,7}:{(207,1),(209,1),(216,1),(313,1),(314,1),(315,1),(398,1),(413,1),(474,1)}
       260:{1,2,4,7}:{(208,1),(217,1),(283,1),(315,1),(384,1)}
       261:{1,3,6}:{(208,1),(209,1),(218,1),(315,1)}
       262:{1,3,4}:{(209,1),(219,1),(306,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(212,1),(285,1),(317,1),(417,1)}
       264:{1,4,5,6}:{(211,1),(213,1),(317,1),(318,1),(326,1),(411,1)}
       265:{1,3,5,7}:{(212,1),(213,1),(214,1),(220,1),(310,1),(317,1),(319,1),(415,1),(463,1),(542,1)}
       266:{2,5,6}:{(213,1),(215,1),(319,1)}
       267:{2,4,6,7}:{(214,1),(215,1),(217,1),(287,1),(319,1),(321,1),(417,1),(460,1),(471,1)}
       268:{2,3,6}:{(215,1),(216,1),(223,1),(313,1)}
       269:{2,3,4,7}:{(216,1),(219,1),(224,1),(314,1),(322,1),(417,1),(473,1)}
       270:{2,3,7}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,6}:{(218,1),(219,1),(226,1),(289,1),(316,1),(323,1),(324,1),(420,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(222,1),(319,1),(325,1),(542,1)}
       273:{1,3,5,6}:{(221,1),(223,1),(320,1),(325,1),(326,1),(328,1)}
       274:{1,3,6,7}:{(222,1),(223,1),(225,1),(321,1),(325,1),(521,1)}
       275:{1,3,4,6}:{(223,1),(224,1),(228,1),(322,1),(326,1),(328,1)}
       276:{1,3,4,7}:{(225,1),(226,1),(229,1),(323,1),(329,1)}
       277:{1,3,5}:{(226,1),(230,1),(324,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(229,1),(327,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,5}:{(228,1),(328,1)}
       280:{1,2,4,5,7}:{(229,1),(230,1),(329,1),(330,1),(331,1),(389,1),(421,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(255,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(260,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(261,1),(335,1),(336,1),(367,1),(454,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(265,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(270,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(378,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(277,1),(341,1),(376,1),(456,1)}
       294:{2,3,4,5}:{(243,1),(345,1),(346,1),(437,1),(456,1),(510,1)}
       295:{1,3,4,7}:{(242,1),(244,1),(347,1),(375,1),(455,1)}
       296:{2,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1)}
       297:{1,4,5}:{(243,1),(246,1),(348,1)}
       298:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(347,1),(350,1),(447,1),(501,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(249,1),(256,1),(348,1),(350,1),(351,1),(439,1)}
       300:{1,2,5}:{(246,1),(247,1)}
       301:{1,2,3,6}:{(247,1),(251,1),(352,1),(439,1)}
       302:{1,3,6,7}:{(248,1),(249,1),(257,1),(350,1),(353,1)}
       303:{1,2,6}:{(249,1),(250,1)}
       304:{1,2,3,5,7}:{(250,1),(251,1),(252,1),(259,1),(352,1),(354,1),(355,1),(356,1),(444,1),(445,1)}
       305:{1,2,3,6}:{(252,1),(261,1),(356,1),(357,1)}
       306:{1,2,4}:{(252,1),(262,1)}
       307:{2,3,5,6}:{(254,1),(345,1),(358,1),(359,1),(369,1)}
       308:{2,4,5,7}:{(253,1),(254,1),(255,1),(332,1),(347,1),(358,1),(360,1),(447,1),(509,1),(532,1)}
       309:{1,4,5,6}:{(254,1),(256,1),(348,1),(359,1),(360,1),(508,1),(549,1)}
       310:{1,5,7}:{(255,1),(256,1),(257,1)}
       311:{1,2,5,6}:{(256,1),(258,1),(266,1),(362,1),(363,1),(444,1),(494,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(260,1),(267,1),(334,1),(353,1),(362,1),(364,1),(426,1),(438,1),(451,1)}
       313:{1,3,6}:{(258,1),(259,1),(268,1)}
       314:{1,3,4,7}:{(259,1),(262,1),(269,1),(355,1),(365,1),(440,1),(451,1)}
       315:{1,3,7}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,6}:{(261,1),(262,1),(271,1),(336,1),(357,1),(366,1),(367,1),(454,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(265,1),(337,1),(368,1),(375,1),(451,1)}
       318:{2,4,5,6}:{(264,1),(266,1),(368,1),(369,1),(371,1)}
       319:{2,5,7}:{(265,1),(266,1),(267,1)}
       320:{2,3,5,6}:{(266,1),(268,1),(273,1),(363,1),(369,1),(370,1),(371,1),(373,1)}
       321:{2,3,6,7}:{(267,1),(268,1),(270,1),(274,1),(364,1),(370,1),(428,1),(501,1)}
       322:{2,3,4,6}:{(268,1),(269,1),(275,1),(365,1),(371,1),(373,1)}
       323:{2,3,4,7}:{(270,1),(271,1),(276,1),(340,1),(366,1),(374,1)}
       324:{2,3,5}:{(271,1),(277,1),(341,1),(367,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(274,1),(370,1),(375,1)}
       326:{1,4,6}:{(273,1),(371,1),(375,1),(376,1)}
       327:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(278,1),(372,1),(375,1),(377,1),(378,1),(459,1),(531,1),(536,1),(551,1)}
       328:{1,3,5}:{(275,1),(279,1),(373,1),(376,1)}
       329:{1,3,5,7}:{(276,1),(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(279,1),(377,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(280,1),(378,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(308,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(310,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(479,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(315,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(319,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(420,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(324,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(329,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,3,4,6}:{(294,1),(296,1),(307,1),(393,1),(394,1),(416,1),(472,1),(483,1)}
       346:{1,3,4,5}:{(294,1),(297,1),(394,1),(395,1),(398,1),(470,1),(528,1)}
       347:{2,4,7}:{(295,1),(296,1),(298,1),(396,1)}
       348:{1,4,6}:{(296,1),(297,1),(299,1),(396,1)}
       349:{1,2,4,5}:{(297,1),(300,1),(395,1),(397,1),(398,1),(401,1)}
       350:{1,3,5,7}:{(298,1),(299,1),(302,1),(310,1),(396,1),(399,1),(474,1)}
       351:{1,2,5,6}:{(299,1),(300,1),(303,1),(397,1),(399,1),(407,1)}
       352:{1,2,3,5}:{(300,1),(301,1),(398,1),(401,1)}
       353:{1,2,6,7}:{(302,1),(303,1),(399,1),(460,1)}
       354:{1,2,3,6}:{(303,1),(304,1),(313,1),(403,1),(479,1)}
       355:{1,2,4,7}:{(304,1),(306,1),(314,1),(401,1),(403,1)}
       356:{1,2,3,7}:{(305,1),(315,1),(404,1)}
       357:{1,2,4,6}:{(305,1),(306,1),(316,1),(404,1),(405,1),(479,1)}
       358:{2,3,5,7}:{(307,1),(308,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,3,5,6}:{(307,1),(309,1),(394,1),(406,1),(407,1)}
       360:{1,4,5,7}:{(308,1),(309,1),(310,1),(381,1),(396,1),(406,1),(527,1),(542,1)}
       361:{1,2,4,5,6}:{(309,1),(311,1),(318,1),(397,1),(407,1),(408,1),(409,1),(411,1),(477,1),(483,1),(517,1),(526,1),(543,1)}
       362:{1,2,5,7}:{(310,1),(311,1),(312,1),(319,1),(410,1),(463,1)}
       363:{1,3,5,6}:{(311,1),(313,1),(320,1),(410,1),(411,1),(413,1)}
       364:{1,3,6,7}:{(312,1),(313,1),(315,1),(321,1),(410,1),(474,1)}
       365:{1,3,4,6}:{(313,1),(314,1),(322,1),(403,1),(411,1),(413,1)}
       366:{1,3,4,7}:{(315,1),(316,1),(323,1),(384,1),(404,1),(414,1)}
       367:{1,3,5}:{(316,1),(324,1),(385,1),(405,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(319,1),(386,1),(415,1),(417,1)}
       369:{3,5,6}:{(318,1),(415,1),(416,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(321,1),(325,1),(410,1),(415,1),(417,1)}
       371:{2,4,6}:{(320,1),(326,1),(411,1),(416,1),(417,1),(418,1)}
       372:{2,3,4,6,7}:{(321,1),(322,1),(323,1),(327,1),(388,1),(412,1),(417,1),(419,1),(420,1),(465,1),(489,1),(515,1),(523,1),(547,1)}
       373:{2,3,5}:{(322,1),(328,1),(413,1),(418,1)}
       374:{2,3,5,7}:{(323,1),(324,1),(329,1),(389,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(326,1),(417,1)}
       376:{1,4,5}:{(326,1),(328,1),(418,1)}
       377:{1,3,5,7}:{(327,1),(328,1),(330,1),(419,1),(421,1),(422,1),(542,1)}
       378:{1,3,6}:{(329,1),(331,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(360,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(362,1),(424,1),(425,1),(506,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(454,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(367,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(370,1),(425,1),(428,1),(429,1),(430,1),(458,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(374,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(378,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(347,1),(358,1),(435,1),(455,1),(501,1),(509,1)}
       394:{1,3,4,6}:{(345,1),(346,1),(348,1),(359,1),(435,1),(436,1),(439,1),(499,1),(508,1)}
       395:{2,4,5}:{(346,1),(436,1),(437,1)}
       396:{1,4,7}:{(347,1),(348,1),(350,1)}
       397:{1,2,4,6}:{(348,1),(349,1),(351,1),(436,1),(438,1),(439,1)}
       398:{1,3,5}:{(349,1),(437,1),(439,1),(440,1)}
       399:{1,2,5,7}:{(350,1),(351,1),(353,1),(438,1),(447,1)}
       400:{1,2,3,5,6}:{(351,1),(352,1),(354,1),(363,1),(439,1),(441,1),(442,1),(444,1),(448,1),(504,1),(506,1),(539,1)}
       401:{1,2,4}:{(352,1),(440,1)}
       402:{1,2,3,6,7}:{(353,1),(354,1),(356,1),(364,1),(441,1),(443,1),(491,1),(539,1)}
       403:{1,2,4,6}:{(354,1),(355,1),(365,1),(444,1)}
       404:{1,2,4,7}:{(356,1),(357,1),(366,1),(445,1)}
       405:{1,2,5}:{(357,1),(367,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(360,1),(423,1),(435,1),(447,1)}
       407:{2,5,6}:{(359,1),(436,1),(447,1)}
       408:{1,2,4,5,7}:{(360,1),(361,1),(362,1),(368,1),(424,1),(438,1),(447,1),(449,1),(451,1),(493,1),(509,1),(532,1)}
       409:{1,3,5,6}:{(361,1),(369,1),(439,1),(448,1),(449,1),(450,1),(504,1),(539,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(364,1),(370,1),(451,1)}
       411:{1,4,6}:{(363,1),(371,1),(451,1),(452,1)}
       412:{1,3,4,6,7}:{(364,1),(365,1),(366,1),(372,1),(426,1),(443,1),(451,1),(453,1),(454,1),(503,1),(512,1),(539,1)}
       413:{1,3,5}:{(365,1),(373,1),(444,1),(452,1)}
       414:{1,3,5,7}:{(366,1),(367,1),(374,1),(427,1),(445,1),(454,1)}
       415:{3,5,7}:{(368,1),(369,1),(428,1),(455,1)}
       416:{3,4,6}:{(369,1),(371,1),(455,1),(456,1)}
       417:{2,4,7}:{(370,1),(371,1),(375,1),(451,1),(455,1)}
       418:{2,4,5}:{(371,1),(373,1),(376,1),(452,1),(456,1)}
       419:{2,3,5,7}:{(372,1),(373,1),(377,1),(430,1),(453,1),(457,1),(458,1),(495,1),(532,1)}
       420:{2,3,6}:{(374,1),(378,1),(431,1),(454,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(377,1),(457,1),(459,1)}
       422:{1,3,5,6}:{(377,1),(378,1),(379,1),(458,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(408,1),(460,1),(461,1),(462,1),(515,1),(526,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(410,1),(461,1),(462,1),(463,1),(487,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(414,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(417,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(420,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,2,4,5}:{(395,1),(469,1),(470,1),(520,1),(528,1),(545,1)}
       435:{1,3,4,7}:{(393,1),(394,1),(396,1),(406,1),(471,1),(474,1),(521,1),(527,1)}
       436:{2,4,6}:{(394,1),(395,1),(407,1),(471,1),(472,1)}
       437:{2,3,5}:{(395,1),(398,1),(470,1),(472,1),(473,1)}
       438:{1,2,4,7}:{(396,1),(397,1),(399,1),(471,1),(474,1)}
       439:{1,3,6}:{(397,1),(398,1),(472,1),(474,1)}
       440:{1,3,4}:{(398,1),(401,1),(473,1)}
       441:{1,2,3,5,7}:{(399,1),(400,1),(402,1),(410,1),(474,1),(476,1),(478,1),(482,1),(525,1)}
       442:{1,2,4,6}:{(400,1),(401,1),(411,1),(475,1),(476,1),(477,1),(483,1)}
       443:{1,2,4,6,7}:{(402,1),(403,1),(404,1),(412,1),(476,1),(478,1),(479,1),(515,1),(526,1)}
       444:{1,2,5}:{(403,1),(413,1)}
       445:{1,2,5,7}:{(404,1),(405,1),(414,1),(479,1)}
       446:{1,2,5,6}:{(407,1),(469,1),(480,1),(481,1),(545,1),(552,1)}
       447:{2,5,7}:{(406,1),(407,1),(460,1),(471,1)}
       448:{2,3,5,6}:{(407,1),(409,1),(472,1),(481,1),(482,1),(483,1),(524,1),(543,1),(547,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(415,1),(461,1),(474,1),(482,1),(484,1)}
       450:{1,3,4,6}:{(409,1),(411,1),(416,1),(483,1),(484,1),(485,1)}
       451:{1,4,7}:{(410,1),(411,1),(417,1)}
       452:{1,4,5}:{(411,1),(413,1),(418,1)}
       453:{1,3,5,7}:{(412,1),(413,1),(419,1),(463,1),(478,1),(486,1),(487,1)}
       454:{1,3,6}:{(414,1),(420,1),(464,1),(479,1)}
       455:{3,4,7}:{(415,1),(416,1),(417,1)}
       456:{3,4,5}:{(416,1),(418,1)}
       457:{2,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(486,1),(488,1),(489,1)}
       458:{2,3,5,6}:{(419,1),(420,1),(422,1),(467,1),(487,1),(489,1),(518,1),(543,1),(547,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(447,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(449,1),(491,1),(539,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(451,1),(493,1),(512,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(454,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{1,2,4,6}:{(434,1),(436,1),(446,1),(498,1),(499,1),(508,1)}
       470:{1,3,5}:{(434,1),(437,1),(499,1),(500,1)}
       471:{2,4,7}:{(435,1),(436,1),(447,1),(501,1)}
       472:{2,3,6}:{(436,1),(437,1),(439,1),(499,1),(501,1)}
       473:{2,3,4}:{(437,1),(440,1),(500,1)}
       474:{1,3,7}:{(438,1),(439,1),(501,1)}
       475:{1,3,4,6}:{(439,1),(440,1),(442,1),(502,1),(503,1),(504,1),(539,1)}
       476:{1,2,4,7}:{(441,1),(442,1),(451,1),(503,1),(509,1)}
       477:{1,2,4,5}:{(442,1),(444,1),(452,1),(504,1),(510,1)}
       478:{1,2,5,7}:{(443,1),(444,1),(453,1),(506,1),(532,1)}
       479:{1,2,6}:{(445,1),(454,1)}
       480:{1,2,5,7}:{(446,1),(447,1),(490,1),(498,1),(507,1)}
       481:{1,3,5,6}:{(446,1),(448,1),(499,1),(507,1),(508,1),(537,1),(549,1),(551,1)}
       482:{2,3,5,7}:{(447,1),(448,1),(449,1),(491,1),(501,1),(507,1),(509,1),(532,1)}
       483:{2,4,6}:{(448,1),(450,1),(508,1),(509,1),(510,1)}
       484:{1,3,4,7}:{(449,1),(450,1),(451,1),(455,1),(509,1)}
       485:{1,3,4,5}:{(450,1),(452,1),(456,1),(504,1),(510,1)}
       486:{1,4,5,7}:{(451,1),(452,1),(453,1),(457,1),(512,1)}
       487:{1,3,5,6}:{(453,1),(454,1),(458,1),(494,1),(506,1),(512,1),(539,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(457,1),(495,1),(513,1)}
       489:{2,4,6}:{(457,1),(458,1),(459,1),(512,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(482,1),(514,1),(515,1),(547,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(484,1),(515,1),(516,1),(530,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,3,5}:{(470,1),(519,1),(520,1),(545,1)}
       498:{1,2,4,7}:{(469,1),(471,1),(480,1),(521,1),(527,1)}
       499:{1,3,6}:{(469,1),(470,1),(472,1),(521,1)}
       500:{1,3,4}:{(470,1),(473,1),(520,1)}
       501:{2,3,7}:{(471,1),(472,1),(474,1),(521,1)}
       502:{2,3,4,6}:{(472,1),(473,1),(475,1),(483,1),(522,1),(523,1),(524,1),(547,1)}
       503:{1,3,4,7}:{(474,1),(475,1),(476,1),(523,1),(525,1)}
       504:{1,3,5}:{(475,1),(477,1),(524,1)}
       505:{1,2,4,5,7}:{(476,1),(477,1),(478,1),(486,1),(525,1),(526,1),(529,1)}
       506:{1,2,5,6}:{(478,1),(479,1),(487,1),(526,1),(543,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(482,1),(514,1),(521,1),(527,1),(542,1)}
       508:{1,4,6}:{(481,1),(483,1),(527,1),(528,1)}
       509:{2,4,7}:{(482,1),(483,1),(484,1),(527,1)}
       510:{2,4,5}:{(483,1),(485,1),(524,1),(528,1)}
       511:{1,3,4,5,7}:{(484,1),(485,1),(486,1),(488,1),(516,1),(525,1),(529,1),(530,1)}
       512:{1,4,6}:{(486,1),(487,1),(489,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(509,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(512,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,2,3,6}:{(497,1),(499,1),(534,1),(535,1)}
       520:{1,2,4}:{(497,1),(500,1)}
       521:{1,3,7}:{(498,1),(499,1),(501,1)}
       522:{1,3,4,6}:{(499,1),(500,1),(502,1),(508,1),(535,1),(536,1),(537,1),(551,1)}
       523:{2,3,4,7}:{(501,1),(502,1),(503,1),(509,1),(536,1),(538,1)}
       524:{2,3,5}:{(502,1),(504,1),(510,1),(537,1)}
       525:{1,3,5,7}:{(503,1),(504,1),(505,1),(538,1),(539,1)}
       526:{1,2,4,6}:{(505,1),(506,1),(512,1),(539,1),(541,1)}
       527:{1,4,7}:{(507,1),(508,1),(509,1)}
       528:{1,4,5}:{(508,1),(510,1),(537,1)}
       529:{2,4,5,7}:{(509,1),(510,1),(511,1),(532,1),(538,1),(540,1),(541,1)}
       530:{1,3,4,6}:{(511,1),(512,1),(513,1),(533,1),(539,1),(541,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(530,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(521,1),(544,1)}
       535:{1,2,4,6}:{(519,1),(520,1),(522,1),(544,1),(545,1),(552,1)}
       536:{1,3,4,7}:{(521,1),(522,1),(523,1),(527,1),(544,1),(546,1)}
       537:{1,3,5}:{(522,1),(524,1),(528,1),(545,1)}
       538:{2,3,5,7}:{(523,1),(524,1),(525,1),(529,1),(546,1),(547,1)}
       539:{1,3,6}:{(525,1),(526,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(529,1),(542,1),(546,1),(548,1)}
       541:{2,4,6}:{(529,1),(530,1),(543,1),(547,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(536,1),(550,1)}
       545:{1,2,5}:{(535,1),(537,1)}
       546:{1,3,5,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,3,6}:{(538,1),(539,1),(541,1),(551,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       551:{1,3,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1678 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1679 :   0:{1,2,3,6,7}:{(1,1),(2,1),(45,1),(79,1),(104,1),(146,1),(382,1),(493,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(143,1),(437,1),(461,1),(465,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(27,1),(116,1),(135,1),(198,1),(213,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(42,1),(82,1),(88,1),(162,1),(299,1),(529,1)}
         4:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(37,1),(45,1),(80,1),(161,1),(255,1),(261,1),(382,1),(482,1)}
         5:{1,2,3,5,6}:{(1,1),(12,1),(15,1),(40,1),(45,1),(100,1),(146,1),(184,1),(256,1),(380,1),(409,1),(416,1)}
         6:{1,2,4,7}:{(1,1),(12,1),(13,1),(190,1),(482,1)}
         7:{1,2,5,7}:{(2,1),(11,1),(15,1),(180,1),(256,1)}
         8:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(52,1),(212,1),(359,1),(513,1),(517,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(53,1),(69,1),(129,1),(144,1),(204,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(25,1),(51,1),(56,1),(71,1),(118,1),(124,1),(135,1),(204,1),(218,1),(340,1),(449,1)}
        11:{1,3,5,7}:{(4,1),(7,1),(20,1),(21,1),(22,1),(318,1),(320,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(23,1),(24,1),(139,1),(240,1),(436,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(25,1),(26,1),(465,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(24,1),(26,1),(27,1),(60,1)}
        15:{1,2,5,6}:{(7,1),(22,1),(27,1),(130,1),(213,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(43,1),(74,1),(82,1),(103,1),(177,1),(183,1),(299,1),(415,1)}
        17:{1,2,3,5,6}:{(8,1),(30,1),(33,1),(77,1),(82,1),(88,1),(158,1),(178,1),(262,1),(297,1),(476,1),(483,1)}
        18:{1,2,4,7}:{(8,1),(30,1),(31,1),(268,1),(415,1)}
        19:{1,2,5,7}:{(9,1),(29,1),(33,1),(178,1),(258,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(166,1),(180,1),(258,1),(277,1)}
        21:{1,4,5,7}:{(11,1),(34,1),(37,1),(379,1),(482,1)}
        22:{1,3,5,6}:{(11,1),(15,1),(35,1),(37,1),(45,1),(161,1),(257,1)}
        23:{1,3,4,6}:{(12,1),(13,1),(39,1),(40,1),(45,1),(300,1),(416,1)}
        24:{1,2,4,5}:{(12,1),(40,1),(96,1),(256,1),(379,1)}
        25:{2,3,4,7}:{(13,1),(39,1),(43,1),(44,1),(190,1),(418,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(37,1),(45,1),(93,1)}
        28:{1,2,5,6,7}:{(15,1),(38,1),(46,1),(180,1),(271,1),(288,1),(381,1),(393,1)}
        29:{1,3,5,7}:{(16,1),(19,1),(20,1),(47,1),(48,1),(235,1),(237,1)}
        30:{1,2,4,6}:{(17,1),(18,1),(49,1),(50,1),(208,1),(323,1),(358,1)}
        31:{1,3,4,7}:{(18,1),(49,1),(51,1),(52,1),(517,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(47,1),(50,1),(52,1),(53,1),(107,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(144,1),(199,1)}
        34:{2,4,5,7}:{(20,1),(21,1),(47,1),(55,1),(56,1),(337,1),(449,1)}
        35:{2,3,5,6}:{(20,1),(22,1),(48,1),(56,1),(71,1),(118,1),(120,1),(130,1),(199,1)}
        36:{1,3,4,5,7}:{(21,1),(26,1),(55,1),(60,1),(61,1),(63,1),(131,1),(140,1)}
        37:{1,4,6}:{(21,1),(22,1),(56,1)}
        38:{1,3,5,6,7}:{(22,1),(28,1),(57,1),(62,1),(72,1),(131,1),(214,1),(320,1),(437,1)}
        39:{2,3,4,6}:{(23,1),(25,1),(65,1),(66,1),(71,1),(139,1),(241,1),(362,1)}
        40:{1,3,5}:{(23,1),(24,1),(66,1)}
        41:{1,2,4,5,6}:{(24,1),(27,1),(58,1),(67,1),(68,1),(130,1),(139,1),(233,1),(319,1),(335,1),(353,1),(361,1),(436,1)}
        42:{1,2,3,7}:{(64,1),(69,1),(364,1)}
        43:{1,3,4,7}:{(25,1),(65,1),(69,1),(70,1),(247,1),(364,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(60,1),(66,1),(70,1),(71,1)}
        45:{1,3,6}:{(26,1),(27,1),(71,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(62,1),(68,1),(72,1),(135,1),(346,1),(444,1),(454,1)}
        47:{1,4,5,7}:{(29,1),(34,1),(74,1),(296,1),(415,1)}
        48:{1,3,5,6}:{(29,1),(33,1),(35,1),(74,1),(82,1),(103,1),(179,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(82,1),(383,1),(483,1)}
        50:{1,2,4,5}:{(30,1),(77,1),(154,1),(178,1),(296,1)}
        51:{2,3,4,7}:{(31,1),(76,1),(80,1),(81,1),(268,1),(485,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(77,1),(81,1),(82,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(74,1),(82,1),(151,1)}
        54:{1,2,5,6,7}:{(33,1),(75,1),(83,1),(193,1),(258,1),(298,1),(371,1),(393,1)}
        55:{3,4,5,7}:{(34,1),(86,1),(166,1),(394,1),(490,1)}
        56:{2,4,6}:{(34,1),(35,1),(37,1),(74,1),(86,1)}
        57:{2,3,5,6,7}:{(35,1),(38,1),(75,1),(87,1),(104,1),(162,1),(166,1),(180,1),(258,1),(393,1),(398,1),(487,1)}
        58:{1,4,5,6}:{(37,1),(84,1),(89,1),(90,1),(257,1)}
        59:{1,2,3,5,7}:{(42,1),(88,1),(91,1),(95,1),(102,1),(178,1),(181,1),(262,1),(365,1),(467,1)}
        60:{2,4,5,7}:{(36,1),(44,1),(92,1),(93,1),(96,1),(180,1),(190,1)}
        61:{1,3,4,6}:{(36,1),(37,1),(45,1),(86,1),(89,1),(93,1)}
        62:{1,4,6,7}:{(37,1),(38,1),(87,1),(90,1),(482,1)}
        63:{1,3,4,5}:{(40,1),(96,1),(97,1),(379,1),(394,1)}
        64:{1,2,3,6}:{(42,1),(95,1),(98,1),(305,1)}
        65:{1,3,4,6}:{(39,1),(43,1),(98,1),(99,1),(103,1),(187,1),(189,1),(305,1)}
        66:{2,3,5}:{(39,1),(40,1),(96,1),(99,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(45,1),(97,1),(100,1),(101,1),(395,1),(416,1)}
        68:{1,2,4,5,7}:{(41,1),(46,1),(90,1),(101,1),(180,1),(190,1),(295,1),(381,1),(396,1),(412,1),(417,1),(482,1)}
        69:{1,2,4,7}:{(42,1),(43,1),(98,1),(102,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(92,1),(99,1),(102,1),(103,1)}
        71:{2,3,6}:{(44,1),(45,1),(93,1),(103,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(101,1),(104,1),(487,1)}
        73:{1,3,4,5,7}:{(47,1),(52,1),(55,1),(107,1),(108,1),(110,1),(200,1),(209,1)}
        74:{1,4,6}:{(47,1),(48,1),(56,1)}
        75:{1,3,5,6,7}:{(48,1),(54,1),(57,1),(109,1),(119,1),(145,1),(200,1),(237,1),(359,1)}
        76:{2,3,4,6}:{(49,1),(51,1),(112,1),(113,1),(118,1),(208,1),(324,1),(440,1)}
        77:{1,3,5}:{(49,1),(50,1),(113,1)}
        78:{1,2,4,5,6}:{(50,1),(53,1),(105,1),(114,1),(115,1),(199,1),(208,1),(236,1),(316,1),(335,1),(358,1),(431,1),(439,1)}
        79:{1,2,3,7}:{(111,1),(116,1),(442,1)}
        80:{1,3,4,7}:{(51,1),(112,1),(116,1),(117,1),(330,1),(442,1)}
        81:{2,3,5,7}:{(51,1),(52,1),(107,1),(113,1),(117,1),(118,1)}
        82:{1,3,6}:{(52,1),(53,1),(118,1)}
        83:{1,2,4,6,7}:{(53,1),(54,1),(109,1),(115,1),(119,1),(204,1),(424,1),(444,1),(506,1)}
        84:{2,4,5,6}:{(56,1),(58,1),(105,1),(120,1),(121,1),(130,1),(199,1)}
        85:{2,3,4,5,7}:{(55,1),(60,1),(107,1),(122,1),(123,1),(136,1),(205,1),(220,1),(221,1),(244,1),(327,1),(337,1),(443,1),(449,1),(452,1),(504,1)}
        86:{3,4,6}:{(55,1),(56,1),(120,1)}
        87:{2,4,6,7}:{(56,1),(57,1),(62,1),(109,1),(121,1),(124,1),(449,1)}
        88:{1,2,3,6}:{(59,1),(129,1),(144,1),(238,1),(503,1)}
        89:{1,3,5,6}:{(58,1),(61,1),(120,1),(130,1),(131,1)}
        90:{1,4,5,7}:{(58,1),(62,1),(121,1),(131,1),(320,1)}
        91:{1,2,4,7}:{(59,1),(129,1),(132,1),(137,1),(323,1)}
        92:{1,4,5,7}:{(60,1),(70,1),(134,1),(138,1),(237,1),(247,1)}
        93:{2,4,6}:{(60,1),(61,1),(71,1),(130,1),(134,1)}
        94:{1,3,4,6,7}:{(61,1),(62,1),(72,1),(124,1),(131,1),(135,1),(140,1)}
        95:{1,2,3,5}:{(64,1),(137,1),(141,1),(245,1)}
        96:{2,4,5}:{(63,1),(66,1),(138,1),(139,1)}
        97:{1,3,4,6}:{(63,1),(67,1),(139,1),(140,1),(436,1),(447,1)}
        98:{1,2,4,6}:{(64,1),(65,1),(69,1),(137,1),(141,1),(144,1)}
        99:{1,3,5}:{(65,1),(66,1),(138,1),(141,1)}
       100:{2,3,5,6}:{(66,1),(67,1),(71,1),(130,1),(139,1),(142,1),(143,1),(353,1),(362,1)}
       101:{1,3,5,7}:{(67,1),(68,1),(72,1),(140,1),(143,1),(448,1),(465,1)}
       102:{1,2,5,7}:{(69,1),(70,1),(141,1),(144,1)}
       103:{1,3,6}:{(70,1),(71,1),(134,1),(144,1)}
       104:{2,3,6,7}:{(71,1),(72,1),(135,1),(143,1),(145,1),(454,1)}
       105:{1,4,5,6}:{(74,1),(84,1),(147,1),(148,1),(179,1)}
       106:{1,2,3,5,7}:{(79,1),(146,1),(149,1),(153,1),(160,1),(184,1),(256,1),(259,1),(282,1),(400,1)}
       107:{2,4,5,7}:{(73,1),(81,1),(150,1),(151,1),(154,1),(258,1),(268,1)}
       108:{1,3,4,6}:{(73,1),(74,1),(82,1),(86,1),(147,1),(151,1)}
       109:{1,4,6,7}:{(74,1),(75,1),(87,1),(148,1),(415,1)}
       110:{1,3,4,5}:{(77,1),(154,1),(155,1),(296,1),(394,1)}
       111:{1,2,3,6}:{(79,1),(153,1),(156,1),(388,1)}
       112:{1,3,4,6}:{(76,1),(80,1),(156,1),(157,1),(161,1),(265,1),(267,1),(388,1)}
       113:{2,3,5}:{(76,1),(77,1),(154,1),(157,1)}
       114:{1,3,5,6}:{(77,1),(78,1),(82,1),(155,1),(158,1),(159,1),(395,1),(483,1)}
       115:{1,2,4,5,7}:{(78,1),(83,1),(148,1),(159,1),(258,1),(268,1),(298,1),(378,1),(396,1),(415,1),(479,1),(484,1)}
       116:{1,2,4,7}:{(79,1),(80,1),(156,1),(160,1)}
       117:{1,3,5,7}:{(80,1),(81,1),(150,1),(157,1),(160,1),(161,1)}
       118:{2,3,6}:{(81,1),(82,1),(151,1),(161,1)}
       119:{1,3,6,7}:{(82,1),(83,1),(159,1),(162,1),(487,1)}
       120:{3,5,6}:{(84,1),(86,1),(166,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(90,1),(148,1),(166,1),(180,1),(258,1)}
       122:{1,3,4,5,7}:{(85,1),(92,1),(150,1),(168,1),(169,1),(181,1),(185,1),(259,1),(263,1),(279,1),(296,1),(304,1),(379,1),(387,1),(394,1),(415,1),(482,1),(490,1),(491,1),(527,1)}
       123:{2,3,4,6}:{(85,1),(86,1),(93,1),(151,1),(165,1),(169,1),(280,1),(397,1),(486,1),(494,1),(530,1)}
       124:{3,4,6,7}:{(86,1),(87,1),(166,1),(487,1),(490,1)}
       125:{1,2,3,6,7}:{(88,1),(171,1),(172,1),(193,1),(299,1),(365,1),(404,1),(495,1)}
       126:{1,4,5,6,7}:{(90,1),(163,1),(173,1),(371,1),(390,1),(498,1)}
       127:{1,2,3,5,6}:{(88,1),(95,1),(171,1),(174,1),(178,1),(191,1),(287,1),(293,1),(297,1),(305,1),(404,1),(411,1)}
       128:{1,3,4,5,6}:{(89,1),(97,1),(164,1),(175,1),(176,1),(275,1),(291,1),(395,1),(413,1),(496,1)}
       129:{1,2,4,6}:{(88,1),(91,1),(177,1),(178,1)}
       130:{2,5,6}:{(89,1),(93,1),(179,1),(180,1)}
       131:{1,3,5,7}:{(89,1),(90,1),(94,1),(166,1),(180,1)}
       132:{1,3,4,7}:{(91,1),(167,1),(177,1),(181,1),(187,1),(383,1),(415,1)}
       133:{1,2,4,5,7}:{(91,1),(92,1),(102,1),(168,1),(178,1),(181,1),(182,1),(188,1),(296,1),(298,1),(306,1),(384,1),(415,1),(467,1),(484,1),(527,1)}
       134:{1,4,6}:{(92,1),(93,1),(103,1),(179,1)}
       135:{2,4,6,7}:{(93,1),(94,1),(104,1),(180,1),(183,1),(190,1)}
       136:{2,3,4,5}:{(96,1),(185,1),(186,1),(302,1),(394,1),(410,1)}
       137:{1,2,4}:{(95,1),(187,1)}
       138:{1,4,5}:{(96,1),(99,1),(189,1)}
       139:{2,4,6}:{(96,1),(97,1),(100,1),(189,1),(190,1)}
       140:{1,3,4,7}:{(97,1),(101,1),(190,1),(482,1),(490,1)}
       141:{1,2,5}:{(98,1),(99,1)}
       142:{1,3,5,6}:{(99,1),(100,1),(103,1),(179,1),(189,1),(191,1),(192,1),(305,1)}
       143:{2,3,5,7}:{(100,1),(101,1),(104,1),(180,1),(190,1),(192,1),(412,1),(418,1)}
       144:{1,2,6}:{(102,1),(103,1)}
       145:{1,3,6,7}:{(103,1),(104,1),(183,1),(192,1),(193,1)}
       146:{1,2,3,6}:{(106,1),(198,1),(213,1),(321,1),(451,1)}
       147:{1,3,5,6}:{(105,1),(108,1),(120,1),(199,1),(200,1)}
       148:{1,4,5,7}:{(105,1),(109,1),(121,1),(200,1),(237,1)}
       149:{1,2,4,7}:{(106,1),(198,1),(201,1),(206,1),(240,1)}
       150:{1,4,5,7}:{(107,1),(117,1),(203,1),(207,1),(320,1),(330,1)}
       151:{2,4,6}:{(107,1),(108,1),(118,1),(199,1),(203,1)}
       152:{1,3,4,6,7}:{(108,1),(109,1),(119,1),(124,1),(200,1),(204,1),(209,1)}
       153:{1,2,3,5}:{(111,1),(206,1),(210,1),(328,1)}
       154:{2,4,5}:{(110,1),(113,1),(207,1),(208,1)}
       155:{1,3,4,6}:{(110,1),(114,1),(208,1),(209,1),(358,1),(447,1)}
       156:{1,2,4,6}:{(111,1),(112,1),(116,1),(206,1),(210,1),(213,1)}
       157:{1,3,5}:{(112,1),(113,1),(207,1),(210,1)}
       158:{2,3,5,6}:{(113,1),(114,1),(118,1),(199,1),(208,1),(211,1),(212,1),(431,1),(440,1)}
       159:{1,3,5,7}:{(114,1),(115,1),(119,1),(209,1),(212,1),(448,1),(517,1)}
       160:{1,2,5,7}:{(116,1),(117,1),(210,1),(213,1)}
       161:{1,3,6}:{(117,1),(118,1),(203,1),(213,1)}
       162:{2,3,6,7}:{(118,1),(119,1),(204,1),(212,1),(214,1),(506,1)}
       163:{2,4,5,6,7}:{(121,1),(126,1),(195,1),(215,1),(228,1),(311,1),(332,1),(444,1),(520,1)}
       164:{3,4,5,6}:{(120,1),(216,1),(217,1),(447,1),(518,1)}
       165:{2,3,5,6}:{(120,1),(123,1),(130,1),(199,1),(216,1),(219,1),(220,1),(518,1),(523,1),(544,1)}
       166:{3,5,7}:{(120,1),(121,1),(124,1)}
       167:{2,3,4,7}:{(132,1),(201,1),(218,1),(221,1),(241,1),(324,1),(449,1)}
       168:{2,4,5,7}:{(122,1),(221,1),(222,1),(242,1),(325,1),(337,1),(339,1),(363,1),(441,1),(449,1)}
       169:{1,3,4,6}:{(122,1),(123,1),(134,1),(203,1),(219,1),(222,1),(238,1),(321,1),(358,1),(436,1),(447,1),(521,1),(542,1)}
       170:{2,3,4,6,7}:{(123,1),(124,1),(135,1),(204,1),(220,1),(223,1),(244,1),(327,1),(332,1),(340,1),(343,1),(421,1),(449,1),(519,1),(524,1),(545,1)}
       171:{1,2,3,5,7}:{(125,1),(127,1),(224,1),(227,1),(248,1),(344,1),(359,1),(364,1),(463,1)}
       172:{1,2,4,6,7}:{(125,1),(129,1),(224,1),(226,1),(227,1),(345,1),(419,1),(503,1),(524,1)}
       173:{1,3,5,6,7}:{(126,1),(131,1),(215,1),(225,1),(228,1),(525,1)}
       174:{1,2,4,6}:{(127,1),(137,1),(224,1),(231,1),(232,1),(358,1),(462,1)}
       175:{2,4,5,6}:{(128,1),(130,1),(139,1),(230,1),(233,1),(234,1),(353,1),(462,1),(523,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(140,1),(217,1),(225,1),(234,1),(336,1),(354,1),(448,1),(464,1),(525,1)}
       177:{1,3,4,6}:{(129,1),(132,1),(218,1),(235,1),(238,1),(358,1)}
       178:{1,2,5}:{(129,1),(235,1)}
       179:{1,5,6}:{(130,1),(134,1),(237,1)}
       180:{2,5,7}:{(130,1),(131,1),(135,1),(237,1)}
       181:{1,3,5,7}:{(132,1),(133,1),(221,1),(235,1),(238,1),(245,1),(364,1),(438,1),(517,1)}
       182:{1,2,4,6}:{(133,1),(134,1),(144,1),(222,1),(236,1),(238,1),(358,1),(503,1),(542,1)}
       183:{1,4,6,7}:{(134,1),(135,1),(145,1),(237,1),(247,1)}
       184:{1,2,3,5}:{(229,1),(240,1),(351,1),(360,1)}
       185:{1,3,4,5}:{(136,1),(138,1),(242,1),(243,1),(245,1),(360,1),(459,1)}
       186:{2,3,4,6}:{(136,1),(139,1),(230,1),(243,1),(244,1),(362,1),(447,1),(462,1)}
       187:{1,3,4}:{(137,1),(241,1),(245,1)}
       188:{1,2,4,5}:{(137,1),(138,1),(141,1),(242,1),(245,1),(246,1)}
       189:{1,4,6}:{(138,1),(139,1),(142,1),(247,1)}
       190:{2,4,7}:{(139,1),(140,1),(143,1),(247,1)}
       191:{1,2,5,6}:{(141,1),(142,1),(144,1),(246,1),(248,1),(353,1)}
       192:{1,3,5,7}:{(142,1),(143,1),(145,1),(237,1),(247,1),(248,1),(364,1)}
       193:{1,2,6,7}:{(144,1),(145,1),(248,1),(454,1)}
       194:{1,2,3,6,7}:{(146,1),(249,1),(250,1),(271,1),(282,1),(382,1),(471,1),(531,1)}
       195:{1,4,5,6,7}:{(148,1),(163,1),(251,1),(288,1),(390,1),(534,1)}
       196:{1,2,3,5,6}:{(146,1),(153,1),(249,1),(252,1),(256,1),(269,1),(370,1),(376,1),(380,1),(388,1),(471,1),(478,1)}
       197:{1,3,4,5,6}:{(147,1),(155,1),(164,1),(253,1),(254,1),(275,1),(374,1),(395,1),(480,1),(532,1)}
       198:{1,2,4,6}:{(146,1),(149,1),(255,1),(256,1)}
       199:{2,5,6}:{(147,1),(151,1),(257,1),(258,1)}
       200:{1,3,5,7}:{(147,1),(148,1),(152,1),(166,1),(258,1)}
       201:{1,3,4,7}:{(149,1),(167,1),(255,1),(259,1),(265,1),(300,1),(482,1)}
       202:{1,2,4,5,7}:{(149,1),(150,1),(160,1),(168,1),(256,1),(259,1),(260,1),(266,1),(301,1),(379,1),(381,1),(389,1),(400,1),(417,1),(482,1),(491,1)}
       203:{1,4,6}:{(150,1),(151,1),(161,1),(257,1)}
       204:{2,4,6,7}:{(151,1),(152,1),(162,1),(258,1),(261,1),(268,1)}
       205:{2,3,4,5}:{(154,1),(263,1),(264,1),(385,1),(394,1),(477,1)}
       206:{1,2,4}:{(153,1),(265,1)}
       207:{1,4,5}:{(154,1),(157,1),(267,1)}
       208:{2,4,6}:{(154,1),(155,1),(158,1),(267,1),(268,1)}
       209:{1,3,4,7}:{(155,1),(159,1),(268,1),(415,1),(490,1)}
       210:{1,2,5}:{(156,1),(157,1)}
       211:{1,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(267,1),(269,1),(270,1),(388,1)}
       212:{2,3,5,7}:{(158,1),(159,1),(162,1),(258,1),(268,1),(270,1),(479,1),(485,1)}
       213:{1,2,6}:{(160,1),(161,1)}
       214:{1,3,6,7}:{(161,1),(162,1),(261,1),(270,1),(271,1)}
       215:{3,5,6,7}:{(163,1),(166,1),(272,1),(487,1),(538,1)}
       216:{2,4,5,6}:{(164,1),(165,1),(275,1),(276,1),(397,1)}
       217:{3,4,5,7}:{(164,1),(166,1),(272,1),(276,1),(490,1),(538,1)}
       218:{2,3,4,6}:{(167,1),(177,1),(255,1),(277,1),(280,1),(397,1)}
       219:{1,3,5,6}:{(165,1),(169,1),(179,1),(257,1),(275,1),(278,1),(279,1),(395,1),(539,1),(549,1)}
       220:{2,3,5,7}:{(165,1),(166,1),(170,1),(180,1),(258,1),(276,1),(279,1),(538,1),(541,1),(551,1)}
       221:{2,3,5,7}:{(167,1),(168,1),(181,1),(259,1),(277,1),(280,1),(302,1),(385,1),(418,1),(485,1)}
       222:{2,4,6}:{(168,1),(169,1),(278,1),(280,1)}
       223:{1,3,4,6,7}:{(169,1),(170,1),(183,1),(261,1),(279,1),(281,1),(299,1),(304,1),(382,1),(387,1),(390,1),(402,1),(415,1),(469,1),(482,1),(487,1),(490,1),(540,1),(550,1)}
       224:{1,2,4,7}:{(171,1),(174,1),(283,1),(415,1),(501,1)}
       225:{1,3,4,6,7}:{(173,1),(176,1),(272,1),(285,1),(390,1),(402,1),(487,1)}
       226:{1,3,4,6,7}:{(172,1),(177,1),(273,1),(283,1),(286,1),(299,1),(404,1),(406,1),(415,1),(466,1),(528,1),(550,1)}
       227:{1,2,5,7}:{(172,1),(178,1),(286,1),(287,1),(541,1)}
       228:{2,5,6,7}:{(173,1),(180,1),(285,1),(288,1),(541,1)}
       229:{1,2,3,6}:{(184,1),(282,1),(289,1),(416,1)}
       230:{2,3,5,6}:{(175,1),(186,1),(291,1),(292,1),(395,1)}
       231:{1,3,4,6}:{(174,1),(187,1),(283,1),(290,1),(293,1),(305,1),(404,1)}
       232:{1,2,4,5}:{(174,1),(178,1),(293,1),(296,1),(410,1)}
       233:{1,4,5,6}:{(175,1),(179,1),(189,1),(291,1),(295,1),(499,1),(539,1)}
       234:{2,4,5,7}:{(175,1),(176,1),(180,1),(190,1),(285,1),(292,1),(295,1),(412,1),(501,1),(541,1)}
       235:{1,3,5}:{(177,1),(178,1),(277,1),(296,1)}
       236:{1,2,5,6}:{(178,1),(179,1),(182,1),(278,1),(297,1),(298,1),(549,1)}
       237:{1,5,7}:{(179,1),(180,1),(183,1)}
       238:{1,3,6}:{(181,1),(182,1),(280,1)}
       239:{1,2,4,6,7}:{(182,1),(183,1),(193,1),(281,1),(298,1),(299,1),(306,1),(415,1),(484,1),(529,1),(550,1)}
       240:{1,2,4}:{(184,1),(300,1)}
       241:{2,3,4}:{(187,1),(300,1),(302,1)}
       242:{2,4,5}:{(185,1),(302,1),(303,1)}
       243:{1,3,4,6}:{(185,1),(186,1),(189,1),(291,1),(303,1),(304,1),(305,1),(416,1),(499,1)}
       244:{2,3,4,7}:{(186,1),(190,1),(292,1),(304,1),(418,1),(490,1),(501,1)}
       245:{1,3,5}:{(187,1),(188,1),(302,1),(305,1)}
       246:{1,2,4,6}:{(188,1),(189,1),(191,1),(303,1),(305,1),(306,1)}
       247:{1,4,7}:{(189,1),(190,1),(192,1)}
       248:{1,2,5,7}:{(191,1),(192,1),(193,1),(306,1),(412,1)}
       249:{1,2,3,5,7}:{(194,1),(196,1),(307,1),(310,1),(331,1),(422,1),(437,1),(442,1),(515,1)}
       250:{1,2,4,6,7}:{(194,1),(198,1),(307,1),(309,1),(310,1),(341,1),(423,1),(451,1),(545,1)}
       251:{1,3,5,6,7}:{(195,1),(200,1),(215,1),(308,1),(311,1),(546,1)}
       252:{1,2,4,6}:{(196,1),(206,1),(307,1),(314,1),(315,1),(436,1),(514,1)}
       253:{2,4,5,6}:{(197,1),(199,1),(208,1),(313,1),(316,1),(317,1),(431,1),(514,1),(544,1)}
       254:{1,3,4,5,7}:{(197,1),(200,1),(209,1),(217,1),(308,1),(317,1),(336,1),(432,1),(448,1),(516,1),(546,1)}
       255:{1,3,4,6}:{(198,1),(201,1),(218,1),(318,1),(321,1),(436,1)}
       256:{1,2,5}:{(198,1),(318,1)}
       257:{1,5,6}:{(199,1),(203,1),(320,1)}
       258:{2,5,7}:{(199,1),(200,1),(204,1),(320,1)}
       259:{1,3,5,7}:{(201,1),(202,1),(221,1),(318,1),(321,1),(328,1),(360,1),(442,1),(465,1)}
       260:{1,2,4,6}:{(202,1),(203,1),(213,1),(222,1),(319,1),(321,1),(436,1),(451,1),(521,1)}
       261:{1,4,6,7}:{(203,1),(204,1),(214,1),(320,1),(330,1)}
       262:{1,2,3,5}:{(312,1),(323,1),(429,1),(438,1)}
       263:{1,3,4,5}:{(205,1),(207,1),(325,1),(326,1),(328,1),(438,1),(511,1)}
       264:{2,3,4,6}:{(205,1),(208,1),(313,1),(326,1),(327,1),(440,1),(447,1),(514,1)}
       265:{1,3,4}:{(206,1),(324,1),(328,1)}
       266:{1,2,4,5}:{(206,1),(207,1),(210,1),(325,1),(328,1),(329,1)}
       267:{1,4,6}:{(207,1),(208,1),(211,1),(330,1)}
       268:{2,4,7}:{(208,1),(209,1),(212,1),(330,1)}
       269:{1,2,5,6}:{(210,1),(211,1),(213,1),(329,1),(331,1),(431,1)}
       270:{1,3,5,7}:{(211,1),(212,1),(214,1),(320,1),(330,1),(331,1),(442,1)}
       271:{1,2,6,7}:{(213,1),(214,1),(331,1),(506,1)}
       272:{3,4,6,7}:{(215,1),(217,1),(332,1)}
       273:{2,3,4,6,7}:{(218,1),(226,1),(309,1),(333,1),(340,1),(342,1),(420,1),(445,1),(449,1),(453,1),(505,1),(519,1),(524,1),(545,1)}
       274:{2,3,5,6,7}:{(215,1),(220,1),(228,1),(311,1),(332,1),(334,1),(343,1),(421,1)}
       275:{1,4,5,6}:{(216,1),(219,1),(335,1),(336,1),(358,1),(436,1)}
       276:{2,4,5,7}:{(216,1),(217,1),(220,1),(332,1),(336,1),(449,1)}
       277:{2,3,5}:{(218,1),(235,1),(318,1),(337,1)}
       278:{2,5,6}:{(219,1),(222,1),(339,1)}
       279:{1,3,5,7}:{(219,1),(220,1),(223,1),(237,1),(320,1),(336,1),(339,1),(448,1),(548,1),(552,1)}
       280:{2,3,6}:{(221,1),(222,1),(238,1),(321,1)}
       281:{2,4,6,7}:{(222,1),(223,1),(339,1),(340,1),(363,1),(441,1),(449,1),(454,1),(506,1)}
       282:{1,2,3,7}:{(229,1),(341,1),(465,1)}
       283:{1,3,4,7}:{(224,1),(231,1),(342,1),(344,1),(364,1)}
       284:{1,2,4,5,7}:{(224,1),(227,1),(232,1),(344,1),(345,1),(347,1),(452,1)}
       285:{2,4,6,7}:{(225,1),(228,1),(234,1),(343,1),(346,1),(454,1)}
       286:{1,3,5,7}:{(226,1),(227,1),(235,1),(333,1),(347,1),(348,1),(552,1)}
       287:{1,2,5,6}:{(227,1),(345,1),(348,1),(503,1),(523,1)}
       288:{1,5,6,7}:{(228,1),(237,1),(346,1),(548,1)}
       289:{1,2,4,6}:{(229,1),(240,1),(341,1),(350,1),(351,1),(451,1)}
       290:{2,3,4,6}:{(231,1),(241,1),(342,1),(350,1),(352,1),(362,1),(453,1),(462,1)}
       291:{1,3,5,6}:{(230,1),(233,1),(243,1),(353,1),(354,1)}
       292:{2,3,5,7}:{(230,1),(234,1),(244,1),(343,1),(354,1),(448,1)}
       293:{1,3,5}:{(231,1),(232,1),(352,1)}
       294:{1,2,4,5,6}:{(232,1),(233,1),(236,1),(246,1),(335,1),(345,1),(353,1),(356,1),(357,1),(358,1),(457,1),(462,1),(523,1)}
       295:{1,4,5,7}:{(233,1),(234,1),(237,1),(247,1),(346,1),(354,1),(526,1),(548,1)}
       296:{1,4,5}:{(235,1),(337,1),(358,1)}
       297:{1,3,5,6}:{(235,1),(236,1),(238,1),(338,1),(358,1),(359,1)}
       298:{1,2,5,7}:{(236,1),(237,1),(239,1),(339,1),(359,1),(552,1)}
       299:{1,3,6,7}:{(238,1),(239,1),(340,1),(359,1),(364,1),(517,1)}
       300:{1,3,4}:{(240,1),(241,1),(360,1)}
       301:{1,2,4,5}:{(240,1),(242,1),(351,1),(360,1),(361,1),(459,1)}
       302:{2,3,5}:{(241,1),(242,1),(245,1),(360,1),(362,1)}
       303:{2,4,6}:{(242,1),(243,1),(353,1),(362,1),(363,1)}
       304:{1,3,4,7}:{(243,1),(244,1),(247,1),(354,1),(363,1),(364,1),(465,1),(526,1)}
       305:{1,3,6}:{(245,1),(246,1),(362,1),(364,1)}
       306:{1,2,4,7}:{(246,1),(247,1),(248,1),(363,1),(364,1)}
       307:{1,2,4,7}:{(249,1),(252,1),(366,1),(482,1),(537,1)}
       308:{1,3,4,6,7}:{(251,1),(254,1),(272,1),(368,1),(390,1),(469,1),(487,1)}
       309:{1,3,4,6,7}:{(250,1),(255,1),(273,1),(366,1),(369,1),(382,1),(399,1),(471,1),(473,1),(482,1),(492,1),(540,1)}
       310:{1,2,5,7}:{(250,1),(256,1),(369,1),(370,1),(551,1)}
       311:{2,5,6,7}:{(251,1),(258,1),(368,1),(371,1),(551,1)}
       312:{1,2,3,6}:{(262,1),(365,1),(372,1),(483,1)}
       313:{2,3,5,6}:{(253,1),(264,1),(374,1),(375,1),(395,1)}
       314:{1,3,4,6}:{(252,1),(265,1),(366,1),(373,1),(376,1),(388,1),(471,1)}
       315:{1,2,4,5}:{(252,1),(256,1),(376,1),(379,1),(477,1)}
       316:{1,4,5,6}:{(253,1),(257,1),(267,1),(374,1),(378,1),(535,1),(549,1)}
       317:{2,4,5,7}:{(253,1),(254,1),(258,1),(268,1),(368,1),(375,1),(378,1),(479,1),(537,1),(551,1)}
       318:{1,3,5}:{(255,1),(256,1),(277,1),(379,1)}
       319:{1,2,5,6}:{(256,1),(257,1),(260,1),(278,1),(380,1),(381,1),(539,1)}
       320:{1,5,7}:{(257,1),(258,1),(261,1)}
       321:{1,3,6}:{(259,1),(260,1),(280,1)}
       322:{1,2,4,6,7}:{(260,1),(261,1),(271,1),(281,1),(381,1),(382,1),(389,1),(417,1),(482,1),(493,1),(540,1)}
       323:{1,2,4}:{(262,1),(383,1)}
       324:{2,3,4}:{(265,1),(383,1),(385,1)}
       325:{2,4,5}:{(263,1),(385,1),(386,1)}
       326:{1,3,4,6}:{(263,1),(264,1),(267,1),(374,1),(386,1),(387,1),(388,1),(483,1),(535,1)}
       327:{2,3,4,7}:{(264,1),(268,1),(375,1),(387,1),(485,1),(490,1),(537,1)}
       328:{1,3,5}:{(265,1),(266,1),(385,1),(388,1)}
       329:{1,2,4,6}:{(266,1),(267,1),(269,1),(386,1),(388,1),(389,1)}
       330:{1,4,7}:{(267,1),(268,1),(270,1)}
       331:{1,2,5,7}:{(269,1),(270,1),(271,1),(389,1),(479,1)}
       332:{2,4,6,7}:{(272,1),(274,1),(276,1),(390,1)}
       333:{2,3,5,7}:{(273,1),(277,1),(286,1),(369,1),(391,1),(392,1),(538,1),(541,1),(551,1)}
       334:{1,3,5,6,7}:{(274,1),(279,1),(288,1),(371,1),(390,1),(393,1),(402,1),(469,1),(487,1)}
       335:{2,4,5,6}:{(275,1),(278,1),(395,1),(396,1),(397,1)}
       336:{1,4,5,7}:{(275,1),(276,1),(279,1),(390,1),(396,1),(415,1),(482,1)}
       337:{2,4,5}:{(277,1),(296,1),(379,1),(394,1),(397,1)}
       338:{2,3,5,6}:{(277,1),(278,1),(280,1),(297,1),(380,1),(395,1),(397,1),(398,1)}
       339:{2,5,7}:{(278,1),(279,1),(281,1)}
       340:{2,3,6,7}:{(280,1),(281,1),(299,1),(382,1),(398,1),(418,1),(485,1),(487,1)}
       341:{1,2,4,7}:{(282,1),(289,1),(399,1),(400,1)}
       342:{2,3,4,7}:{(283,1),(290,1),(399,1),(401,1),(418,1),(501,1)}
       343:{2,3,6,7}:{(285,1),(292,1),(402,1),(487,1)}
       344:{1,3,5,7}:{(283,1),(284,1),(293,1),(401,1),(404,1)}
       345:{1,2,4,6}:{(284,1),(287,1),(404,1),(406,1),(494,1)}
       346:{1,4,6,7}:{(285,1),(288,1),(295,1),(402,1)}
       347:{1,4,5,7}:{(286,1),(296,1),(391,1),(406,1),(415,1)}
       348:{1,3,5,6}:{(286,1),(287,1),(392,1),(404,1),(406,1),(528,1),(549,1)}
       349:{1,2,5,6,7}:{(287,1),(288,1),(298,1),(393,1),(405,1),(407,1),(529,1),(541,1)}
       350:{1,3,4,6}:{(289,1),(290,1),(300,1),(399,1),(408,1),(416,1),(492,1),(499,1)}
       351:{1,2,5}:{(289,1),(408,1)}
       352:{2,3,5}:{(290,1),(293,1),(408,1),(410,1)}
       353:{2,5,6}:{(291,1),(303,1),(412,1)}
       354:{1,3,5,7}:{(291,1),(292,1),(295,1),(304,1),(402,1),(412,1)}
       355:{1,3,4,5}:{(293,1),(296,1),(394,1),(410,1),(413,1)}
       356:{1,3,5,6}:{(293,1),(294,1),(305,1),(395,1),(404,1),(411,1),(413,1),(414,1)}
       357:{1,2,4,5,7}:{(294,1),(295,1),(298,1),(306,1),(396,1),(405,1),(412,1),(414,1),(415,1),(498,1),(501,1),(541,1)}
       358:{1,4,6}:{(296,1),(297,1),(397,1),(415,1)}
       359:{1,3,5,7}:{(297,1),(298,1),(299,1),(398,1),(415,1)}
       360:{1,3,5}:{(300,1),(301,1),(302,1),(416,1)}
       361:{1,2,4,6}:{(301,1),(303,1),(409,1),(416,1),(417,1),(499,1)}
       362:{2,3,6}:{(302,1),(303,1),(305,1),(416,1),(418,1)}
       363:{2,4,7}:{(303,1),(304,1),(412,1),(418,1)}
       364:{1,3,7}:{(305,1),(306,1),(418,1)}
       365:{1,2,3,7}:{(312,1),(419,1),(517,1)}
       366:{1,3,4,7}:{(307,1),(314,1),(420,1),(422,1),(442,1)}
       367:{1,2,4,5,7}:{(307,1),(310,1),(315,1),(422,1),(423,1),(425,1),(504,1)}
       368:{2,4,6,7}:{(308,1),(311,1),(317,1),(421,1),(424,1),(506,1)}
       369:{1,3,5,7}:{(309,1),(310,1),(318,1),(333,1),(425,1),(426,1),(548,1)}
       370:{1,2,5,6}:{(310,1),(423,1),(426,1),(451,1),(544,1)}
       371:{1,5,6,7}:{(311,1),(320,1),(424,1),(552,1)}
       372:{1,2,4,6}:{(312,1),(323,1),(419,1),(428,1),(429,1),(503,1)}
       373:{2,3,4,6}:{(314,1),(324,1),(420,1),(428,1),(430,1),(440,1),(505,1),(514,1)}
       374:{1,3,5,6}:{(313,1),(316,1),(326,1),(431,1),(432,1)}
       375:{2,3,5,7}:{(313,1),(317,1),(327,1),(421,1),(432,1),(448,1)}
       376:{1,3,5}:{(314,1),(315,1),(430,1)}
       377:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(329,1),(335,1),(423,1),(431,1),(434,1),(435,1),(436,1),(509,1),(514,1),(544,1)}
       378:{1,4,5,7}:{(316,1),(317,1),(320,1),(330,1),(424,1),(432,1),(547,1),(552,1)}
       379:{1,4,5}:{(318,1),(337,1),(436,1)}
       380:{1,3,5,6}:{(318,1),(319,1),(321,1),(338,1),(436,1),(437,1)}
       381:{1,2,5,7}:{(319,1),(320,1),(322,1),(339,1),(437,1),(548,1)}
       382:{1,3,6,7}:{(321,1),(322,1),(340,1),(437,1),(442,1),(465,1)}
       383:{1,3,4}:{(323,1),(324,1),(438,1)}
       384:{1,2,4,5}:{(323,1),(325,1),(429,1),(438,1),(439,1),(511,1)}
       385:{2,3,5}:{(324,1),(325,1),(328,1),(438,1),(440,1)}
       386:{2,4,6}:{(325,1),(326,1),(431,1),(440,1),(441,1)}
       387:{1,3,4,7}:{(326,1),(327,1),(330,1),(432,1),(441,1),(442,1),(517,1),(547,1)}
       388:{1,3,6}:{(328,1),(329,1),(440,1),(442,1)}
       389:{1,2,4,7}:{(329,1),(330,1),(331,1),(441,1),(442,1)}
       390:{1,4,6,7}:{(332,1),(334,1),(336,1),(444,1)}
       391:{2,4,5,7}:{(333,1),(337,1),(347,1),(425,1),(443,1),(445,1),(449,1)}
       392:{2,3,5,6}:{(333,1),(348,1),(426,1),(445,1),(453,1),(505,1),(518,1),(523,1),(544,1)}
       393:{2,5,6,7}:{(334,1),(339,1),(444,1),(454,1),(506,1)}
       394:{3,4,5}:{(337,1),(447,1)}
       395:{3,5,6}:{(335,1),(447,1),(448,1)}
       396:{2,4,5,7}:{(335,1),(336,1),(339,1),(444,1),(448,1),(449,1)}
       397:{2,4,6}:{(337,1),(338,1),(358,1),(436,1),(447,1),(449,1)}
       398:{2,3,5,7}:{(338,1),(339,1),(340,1),(359,1),(437,1),(448,1),(449,1)}
       399:{1,3,4,7}:{(341,1),(342,1),(350,1),(450,1),(465,1),(526,1)}
       400:{1,2,5,7}:{(341,1),(351,1),(450,1),(451,1)}
       401:{2,3,5,7}:{(342,1),(344,1),(352,1),(450,1),(452,1),(453,1)}
       402:{1,3,6,7}:{(343,1),(346,1),(354,1),(454,1)}
       403:{1,3,4,5,7}:{(344,1),(347,1),(355,1),(443,1),(452,1),(455,1),(464,1),(525,1)}
       404:{1,3,6}:{(344,1),(345,1),(453,1)}
       405:{1,2,4,6,7}:{(345,1),(346,1),(349,1),(357,1),(444,1),(454,1),(456,1),(458,1),(524,1)}
       406:{1,4,6}:{(347,1),(348,1),(445,1)}
       407:{1,3,5,6,7}:{(348,1),(349,1),(359,1),(446,1),(456,1),(458,1),(525,1),(543,1),(552,1)}
       408:{1,3,5}:{(350,1),(351,1),(352,1),(459,1)}
       409:{1,2,5,6}:{(351,1),(353,1),(361,1),(451,1),(460,1),(461,1)}
       410:{2,4,5}:{(352,1),(355,1),(459,1),(462,1)}
       411:{2,3,5,6}:{(352,1),(353,1),(356,1),(362,1),(453,1),(460,1),(462,1),(463,1),(523,1)}
       412:{2,5,7}:{(353,1),(354,1),(363,1),(454,1)}
       413:{1,3,4,6}:{(355,1),(356,1),(358,1),(447,1),(462,1),(464,1)}
       414:{1,3,5,7}:{(356,1),(357,1),(364,1),(448,1),(456,1),(463,1),(464,1)}
       415:{1,4,7}:{(358,1),(359,1),(449,1)}
       416:{1,3,6}:{(360,1),(361,1),(362,1),(465,1)}
       417:{1,2,4,7}:{(361,1),(363,1),(461,1),(465,1),(526,1)}
       418:{2,3,7}:{(362,1),(363,1),(364,1),(465,1)}
       419:{1,2,4,7}:{(365,1),(372,1),(466,1),(467,1)}
       420:{2,3,4,7}:{(366,1),(373,1),(466,1),(468,1),(485,1),(537,1)}
       421:{2,3,6,7}:{(368,1),(375,1),(469,1),(487,1)}
       422:{1,3,5,7}:{(366,1),(367,1),(376,1),(468,1),(471,1)}
       423:{1,2,4,6}:{(367,1),(370,1),(471,1),(473,1),(530,1)}
       424:{1,4,6,7}:{(368,1),(371,1),(378,1),(469,1)}
       425:{1,4,5,7}:{(369,1),(379,1),(391,1),(473,1),(482,1)}
       426:{1,3,5,6}:{(369,1),(370,1),(392,1),(471,1),(473,1),(492,1),(539,1)}
       427:{1,2,5,6,7}:{(370,1),(371,1),(381,1),(393,1),(472,1),(474,1),(493,1),(551,1)}
       428:{1,3,4,6}:{(372,1),(373,1),(383,1),(466,1),(475,1),(483,1),(528,1),(535,1)}
       429:{1,2,5}:{(372,1),(475,1)}
       430:{2,3,5}:{(373,1),(376,1),(475,1),(477,1)}
       431:{2,5,6}:{(374,1),(386,1),(479,1)}
       432:{1,3,5,7}:{(374,1),(375,1),(378,1),(387,1),(469,1),(479,1)}
       433:{1,3,4,5}:{(376,1),(379,1),(394,1),(477,1),(480,1)}
       434:{1,3,5,6}:{(376,1),(377,1),(388,1),(395,1),(471,1),(478,1),(480,1),(481,1)}
       435:{1,2,4,5,7}:{(377,1),(378,1),(381,1),(389,1),(396,1),(472,1),(479,1),(481,1),(482,1),(534,1),(537,1),(551,1)}
       436:{1,4,6}:{(379,1),(380,1),(397,1),(482,1)}
       437:{1,3,5,7}:{(380,1),(381,1),(382,1),(398,1),(482,1)}
       438:{1,3,5}:{(383,1),(384,1),(385,1),(483,1)}
       439:{1,2,4,6}:{(384,1),(386,1),(476,1),(483,1),(484,1),(535,1)}
       440:{2,3,6}:{(385,1),(386,1),(388,1),(483,1),(485,1)}
       441:{2,4,7}:{(386,1),(387,1),(479,1),(485,1)}
       442:{1,3,7}:{(388,1),(389,1),(485,1)}
       443:{3,4,5,7}:{(391,1),(394,1),(486,1),(490,1),(538,1)}
       444:{2,4,6,7}:{(390,1),(393,1),(396,1),(487,1)}
       445:{2,4,6}:{(391,1),(392,1),(406,1),(473,1),(486,1)}
       446:{2,3,5,6,7}:{(392,1),(393,1),(398,1),(407,1),(474,1),(487,1),(489,1),(495,1),(531,1),(538,1),(541,1),(551,1)}
       447:{3,4,6}:{(394,1),(395,1),(397,1),(490,1)}
       448:{3,5,7}:{(395,1),(396,1),(487,1),(490,1)}
       449:{2,4,7}:{(397,1),(398,1),(415,1),(482,1),(490,1)}
       450:{1,3,5,7}:{(399,1),(400,1),(401,1),(408,1),(491,1),(492,1)}
       451:{1,2,6}:{(400,1),(492,1)}
       452:{2,4,5,7}:{(401,1),(403,1),(410,1),(491,1),(494,1),(501,1),(541,1)}
       453:{2,3,6}:{(401,1),(404,1),(492,1),(494,1)}
       454:{2,6,7}:{(402,1),(412,1)}
       455:{1,3,4,6}:{(403,1),(404,1),(406,1),(486,1),(494,1),(496,1)}
       456:{1,3,6,7}:{(404,1),(405,1),(414,1),(487,1),(495,1)}
       457:{1,4,5,6}:{(406,1),(488,1),(496,1),(498,1),(549,1)}
       458:{1,4,6,7}:{(406,1),(407,1),(415,1),(489,1),(498,1)}
       459:{1,4,5}:{(408,1),(410,1),(499,1)}
       460:{1,3,5,6}:{(408,1),(409,1),(411,1),(416,1),(492,1),(499,1),(500,1),(539,1)}
       461:{1,2,5,7}:{(409,1),(412,1),(417,1),(493,1),(500,1)}
       462:{2,4,6}:{(410,1),(411,1),(413,1),(499,1),(501,1)}
       463:{2,3,5,7}:{(411,1),(412,1),(414,1),(418,1),(495,1),(500,1),(501,1),(541,1)}
       464:{1,3,4,7}:{(413,1),(414,1),(415,1),(490,1),(501,1)}
       465:{1,3,7}:{(416,1),(417,1),(418,1)}
       466:{1,3,4,7}:{(419,1),(420,1),(428,1),(502,1),(517,1),(547,1)}
       467:{1,2,5,7}:{(419,1),(429,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(420,1),(422,1),(430,1),(502,1),(504,1),(505,1)}
       469:{1,3,6,7}:{(421,1),(424,1),(432,1),(506,1)}
       470:{1,3,4,5,7}:{(422,1),(425,1),(433,1),(443,1),(504,1),(507,1),(516,1),(546,1)}
       471:{1,3,6}:{(422,1),(423,1),(505,1)}
       472:{1,2,4,6,7}:{(423,1),(424,1),(427,1),(435,1),(444,1),(506,1),(508,1),(510,1),(545,1)}
       473:{1,4,6}:{(425,1),(426,1),(445,1)}
       474:{1,3,5,6,7}:{(426,1),(427,1),(437,1),(446,1),(508,1),(510,1),(522,1),(546,1),(548,1)}
       475:{1,3,5}:{(428,1),(429,1),(430,1),(511,1)}
       476:{1,2,5,6}:{(429,1),(431,1),(439,1),(503,1),(512,1),(513,1)}
       477:{2,4,5}:{(430,1),(433,1),(511,1),(514,1)}
       478:{2,3,5,6}:{(430,1),(431,1),(434,1),(440,1),(505,1),(512,1),(514,1),(515,1),(544,1)}
       479:{2,5,7}:{(431,1),(432,1),(441,1),(506,1)}
       480:{1,3,4,6}:{(433,1),(434,1),(436,1),(447,1),(514,1),(516,1)}
       481:{1,3,5,7}:{(434,1),(435,1),(442,1),(448,1),(508,1),(515,1),(516,1)}
       482:{1,4,7}:{(436,1),(437,1),(449,1)}
       483:{1,3,6}:{(438,1),(439,1),(440,1),(517,1)}
       484:{1,2,4,7}:{(439,1),(441,1),(513,1),(517,1),(547,1)}
       485:{2,3,7}:{(440,1),(441,1),(442,1),(517,1)}
       486:{3,4,6}:{(443,1),(445,1),(518,1)}
       487:{3,6,7}:{(444,1),(448,1)}
       488:{2,4,5,6}:{(445,1),(457,1),(509,1),(518,1),(520,1),(523,1),(544,1)}
       489:{2,4,6,7}:{(445,1),(446,1),(449,1),(458,1),(510,1),(519,1),(520,1)}
       490:{3,4,7}:{(447,1),(448,1),(449,1)}
       491:{1,4,5,7}:{(450,1),(452,1),(459,1),(521,1),(526,1),(548,1)}
       492:{1,3,6}:{(450,1),(451,1),(453,1),(521,1)}
       493:{1,2,6,7}:{(451,1),(454,1),(461,1),(522,1)}
       494:{2,4,6}:{(452,1),(453,1),(455,1),(521,1),(523,1)}
       495:{2,3,6,7}:{(453,1),(454,1),(456,1),(463,1),(522,1),(524,1)}
       496:{1,3,5,6}:{(455,1),(457,1),(518,1),(523,1),(525,1)}
       497:{1,3,4,6,7}:{(455,1),(456,1),(458,1),(464,1),(519,1),(524,1),(525,1)}
       498:{1,4,5,7}:{(457,1),(458,1),(520,1),(525,1),(552,1)}
       499:{1,4,6}:{(459,1),(460,1),(462,1),(526,1)}
       500:{1,3,5,7}:{(460,1),(461,1),(463,1),(465,1),(522,1),(526,1),(548,1)}
       501:{2,4,7}:{(462,1),(463,1),(464,1),(526,1)}
       502:{1,3,5,7}:{(466,1),(467,1),(468,1),(475,1),(527,1),(528,1)}
       503:{1,2,6}:{(467,1),(528,1)}
       504:{2,4,5,7}:{(468,1),(470,1),(477,1),(527,1),(530,1),(537,1),(551,1)}
       505:{2,3,6}:{(468,1),(471,1),(528,1),(530,1)}
       506:{2,6,7}:{(469,1),(479,1)}
       507:{1,3,4,6}:{(470,1),(471,1),(473,1),(486,1),(530,1),(532,1)}
       508:{1,3,6,7}:{(471,1),(472,1),(481,1),(487,1),(531,1)}
       509:{1,4,5,6}:{(473,1),(488,1),(532,1),(534,1),(539,1)}
       510:{1,4,6,7}:{(473,1),(474,1),(482,1),(489,1),(534,1)}
       511:{1,4,5}:{(475,1),(477,1),(535,1)}
       512:{1,3,5,6}:{(475,1),(476,1),(478,1),(483,1),(528,1),(535,1),(536,1),(549,1)}
       513:{1,2,5,7}:{(476,1),(479,1),(484,1),(529,1),(536,1)}
       514:{2,4,6}:{(477,1),(478,1),(480,1),(535,1),(537,1)}
       515:{2,3,5,7}:{(478,1),(479,1),(481,1),(485,1),(531,1),(536,1),(537,1),(551,1)}
       516:{1,3,4,7}:{(480,1),(481,1),(482,1),(490,1),(537,1)}
       517:{1,3,7}:{(483,1),(484,1),(485,1)}
       518:{3,5,6}:{(486,1),(488,1),(538,1)}
       519:{3,4,6,7}:{(486,1),(487,1),(489,1),(490,1),(538,1)}
       520:{2,4,5,7}:{(488,1),(489,1),(498,1),(534,1),(538,1),(541,1),(551,1)}
       521:{1,4,6}:{(491,1),(492,1),(494,1),(539,1)}
       522:{1,3,6,7}:{(492,1),(493,1),(495,1),(500,1),(540,1)}
       523:{2,5,6}:{(494,1),(496,1),(539,1),(541,1)}
       524:{2,4,6,7}:{(494,1),(495,1),(497,1),(501,1),(540,1),(541,1)}
       525:{1,3,5,7}:{(496,1),(497,1),(498,1),(538,1),(541,1)}
       526:{1,4,7}:{(499,1),(500,1),(501,1)}
       527:{1,4,5,7}:{(502,1),(504,1),(511,1),(542,1),(547,1),(552,1)}
       528:{1,3,6}:{(502,1),(503,1),(505,1),(542,1)}
       529:{1,2,6,7}:{(503,1),(506,1),(513,1),(543,1)}
       530:{2,4,6}:{(504,1),(505,1),(507,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(505,1),(506,1),(508,1),(515,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(507,1),(509,1),(518,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(507,1),(508,1),(510,1),(516,1),(519,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(509,1),(510,1),(520,1),(546,1),(548,1)}
       535:{1,4,6}:{(511,1),(512,1),(514,1),(547,1)}
       536:{1,3,5,7}:{(512,1),(513,1),(515,1),(517,1),(543,1),(547,1),(552,1)}
       537:{2,4,7}:{(514,1),(515,1),(516,1),(547,1)}
       538:{3,5,7}:{(518,1),(519,1),(520,1)}
       539:{1,5,6}:{(521,1),(523,1),(548,1)}
       540:{1,4,6,7}:{(521,1),(522,1),(524,1),(526,1),(548,1)}
       541:{2,5,7}:{(523,1),(524,1),(525,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(536,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(537,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(538,1),(551,1)}
       547:{1,4,7}:{(535,1),(536,1),(537,1)}
       548:{1,5,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

1680 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1681 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1682 :   0:{1,2,3,6,7}:{(2,1),(3,1),(52,1),(111,1),(174,1),(275,1),(360,1),(366,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(51,1),(52,1),(170,1),(256,1),(261,1),(275,1),(371,1),(381,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(32,1),(130,1),(145,1),(219,1),(330,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(33,1),(78,1),(309,1),(314,1),(413,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(72,1),(221,1),(418,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(90,1),(117,1),(165,1),(202,1),(299,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(19,1),(46,1),(52,1),(94,1),(168,1),(259,1),(366,1),(372,1),(453,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(16,1),(191,1),(381,1)}
         8:{1,2,4,5}:{(4,1),(18,1),(48,1),(381,1),(459,1)}
         9:{1,2,4,7}:{(3,1),(4,1),(19,1),(105,1),(453,1)}
        10:{1,3,4,6}:{(4,1),(18,1),(19,1),(20,1),(52,1),(261,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(24,1),(60,1),(83,1),(155,1),(206,1),(254,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(61,1),(214,1),(351,1),(486,1),(494,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(35,1),(64,1),(66,1),(80,1),(125,1),(133,1),(145,1),(206,1),(341,1),(346,1),(436,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(312,1),(419,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(32,1),(72,1),(73,1),(143,1),(148,1),(207,1),(229,1),(318,1),(344,1),(418,1)}
        16:{1,2,5,6}:{(7,1),(26,1),(32,1),(148,1),(219,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(32,1),(33,1),(75,1)}
        18:{1,3,5}:{(8,1),(10,1),(34,1)}
        19:{1,3,4,7}:{(9,1),(10,1),(33,1),(35,1),(314,1)}
        20:{2,3,4,6}:{(10,1),(34,1),(35,1),(36,1),(72,1),(80,1),(234,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(55,1),(86,1),(90,1),(114,1),(192,1),(299,1),(303,1),(400,1)}
        22:{1,2,5,7}:{(11,1),(37,1),(38,1),(258,1),(306,1)}
        23:{1,2,3,5,6}:{(12,1),(38,1),(40,1),(90,1),(92,1),(167,1),(202,1),(302,1),(306,1),(456,1),(465,1),(468,1)}
        24:{1,2,4,7}:{(12,1),(40,1),(41,1),(267,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(178,1),(191,1),(258,1),(396,1)}
        26:{1,3,5,6}:{(14,1),(16,1),(42,1),(46,1),(52,1),(168,1),(263,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(46,1),(453,1),(459,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(48,1),(459,1),(477,1)}
        29:{1,2,5,6,7}:{(16,1),(44,1),(49,1),(191,1),(269,1),(294,1),(365,1),(386,1)}
        30:{1,2,4,5,7}:{(15,1),(49,1),(50,1),(103,1),(105,1),(189,1),(191,1),(260,1),(283,1),(365,1),(390,1),(453,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(45,1),(50,1),(51,1),(52,1),(261,1),(394,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(46,1),(52,1),(108,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(19,1),(52,1),(53,1)}
        34:{2,3,5}:{(18,1),(20,1),(48,1),(54,1)}
        35:{2,3,4,7}:{(19,1),(20,1),(53,1),(55,1),(105,1),(288,1)}
        36:{1,3,4,6}:{(20,1),(54,1),(55,1),(56,1),(106,1),(114,1),(194,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(25,1),(57,1),(58,1),(244,1),(355,1)}
        38:{1,2,5,6}:{(22,1),(57,1),(60,1),(155,1),(209,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(58,1),(60,1),(61,1),(62,1),(121,1)}
        40:{1,2,4,6}:{(23,1),(24,1),(62,1),(63,1),(217,1),(354,1),(501,1)}
        41:{1,3,4,7}:{(24,1),(61,1),(63,1),(64,1),(494,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(80,1),(125,1),(136,1),(148,1),(209,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(436,1),(440,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(70,1),(77,1),(144,1),(215,1),(312,1),(413,1)}
        45:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(418,1),(439,1)}
        46:{1,4,6}:{(26,1),(27,1),(66,1)}
        47:{1,3,4,5,7}:{(27,1),(28,1),(33,1),(67,1),(71,1),(74,1),(75,1),(144,1)}
        48:{2,4,5}:{(28,1),(34,1),(72,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(32,1),(70,1),(77,1),(145,1),(241,1),(336,1),(431,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(71,1),(77,1),(78,1),(314,1),(435,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(80,1),(148,1),(229,1),(234,1)}
        52:{1,3,6}:{(32,1),(33,1),(80,1)}
        53:{2,3,5,7}:{(33,1),(34,1),(35,1),(75,1),(80,1),(81,1)}
        54:{1,3,5}:{(34,1),(36,1),(76,1),(82,1)}
        55:{1,3,4,7}:{(35,1),(36,1),(81,1),(83,1),(146,1),(246,1)}
        56:{1,2,4,6}:{(36,1),(82,1),(83,1),(84,1),(155,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(42,1),(86,1),(90,1),(114,1),(195,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(403,1)}
        59:{1,2,5,6,7}:{(38,1),(85,1),(88,1),(199,1),(258,1),(298,1),(359,1),(386,1)}
        60:{1,2,4,6}:{(38,1),(39,1),(86,1),(90,1),(161,1)}
        61:{1,3,5,7}:{(39,1),(41,1),(90,1),(91,1),(92,1)}
        62:{1,2,4,5}:{(40,1),(92,1),(171,1),(306,1),(403,1)}
        63:{1,3,4,6}:{(40,1),(41,1),(90,1),(92,1),(93,1),(465,1),(469,1)}
        64:{2,3,4,7}:{(41,1),(91,1),(93,1),(94,1),(267,1),(461,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(95,1),(111,1),(165,1),(178,1),(191,1),(258,1),(386,1),(391,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(46,1),(86,1),(98,1)}
        67:{3,4,5,7}:{(43,1),(98,1),(178,1),(474,1),(477,1)}
        68:{2,3,4,5}:{(48,1),(96,1),(100,1),(186,1),(389,1),(477,1)}
        69:{1,3,4,5,6}:{(45,1),(101,1),(102,1),(107,1),(177,1),(182,1),(290,1),(297,1),(394,1),(479,1)}
        70:{1,4,6,7}:{(44,1),(46,1),(95,1),(103,1),(453,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(105,1),(453,1),(474,1)}
        72:{2,4,6}:{(45,1),(48,1),(51,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(97,1),(103,1),(107,1),(263,1)}
        74:{1,3,4,6}:{(46,1),(47,1),(52,1),(98,1),(107,1),(108,1)}
        75:{2,4,5,7}:{(47,1),(48,1),(53,1),(105,1),(108,1),(109,1),(191,1)}
        76:{1,4,5}:{(48,1),(54,1),(106,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(52,1),(111,1),(470,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(105,1),(111,1),(112,1),(191,1),(283,1),(288,1)}
        79:{1,3,5,6}:{(51,1),(54,1),(106,1),(112,1),(113,1),(114,1),(194,1),(195,1)}
        80:{2,3,6}:{(52,1),(53,1),(108,1),(114,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(55,1),(109,1),(114,1),(115,1)}
        82:{1,2,5}:{(54,1),(56,1)}
        83:{1,2,4,7}:{(55,1),(56,1),(115,1),(117,1)}
        84:{1,2,3,6}:{(56,1),(116,1),(117,1),(194,1)}
        85:{1,3,5,6,7}:{(57,1),(59,1),(65,1),(118,1),(123,1),(152,1),(205,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(61,1),(67,1),(120,1),(121,1),(127,1),(205,1),(213,1)}
        88:{1,2,4,6,7}:{(59,1),(60,1),(118,1),(122,1),(123,1),(206,1),(406,1),(431,1),(481,1)}
        89:{1,2,4,5,6}:{(60,1),(62,1),(119,1),(122,1),(124,1),(209,1),(217,1),(248,1),(317,1),(344,1),(354,1),(416,1),(425,1)}
        90:{1,3,6}:{(60,1),(61,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(64,1),(121,1),(125,1),(126,1),(128,1)}
        92:{1,3,5}:{(62,1),(63,1),(128,1)}
        93:{2,3,4,6}:{(63,1),(64,1),(125,1),(128,1),(129,1),(217,1),(426,1),(430,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(322,1),(421,1)}
        95:{2,4,6,7}:{(65,1),(66,1),(70,1),(118,1),(132,1),(133,1),(436,1)}
        96:{2,3,4,6}:{(68,1),(72,1),(131,1),(134,1),(135,1),(234,1),(338,1),(439,1)}
        97:{2,4,5,6}:{(66,1),(73,1),(119,1),(132,1),(136,1),(148,1),(209,1)}
        98:{3,4,6}:{(66,1),(67,1),(136,1)}
        99:{2,3,4,5,7}:{(67,1),(68,1),(75,1),(121,1),(134,1),(137,1),(138,1),(222,1),(231,1),(238,1),(321,1),(434,1),(436,1),(440,1),(505,1),(533,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(135,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(71,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(131,1),(142,1),(143,1),(148,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(73,1),(132,1),(144,1),(312,1)}
       104:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(77,1),(133,1),(144,1),(145,1)}
       105:{2,4,7}:{(71,1),(72,1),(78,1),(146,1)}
       106:{1,4,6}:{(72,1),(76,1),(79,1),(146,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(136,1),(144,1),(148,1)}
       108:{2,4,6}:{(74,1),(75,1),(80,1),(148,1),(149,1)}
       109:{1,4,5,7}:{(75,1),(76,1),(81,1),(146,1),(149,1),(244,1)}
       110:{1,2,4,5}:{(76,1),(82,1),(139,1),(147,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(80,1),(145,1),(152,1),(336,1)}
       112:{1,3,5,7}:{(78,1),(79,1),(146,1),(152,1),(153,1),(244,1),(246,1)}
       113:{1,2,5,6}:{(79,1),(82,1),(147,1),(153,1),(155,1),(229,1)}
       114:{1,3,6}:{(80,1),(81,1),(149,1),(155,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(83,1),(155,1)}
       116:{1,2,3,5}:{(82,1),(84,1),(151,1),(157,1)}
       117:{1,2,3,7}:{(83,1),(84,1),(246,1)}
       118:{1,4,6,7}:{(85,1),(86,1),(95,1),(158,1),(400,1)}
       119:{1,4,5,6}:{(86,1),(97,1),(158,1),(160,1),(195,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(90,1),(98,1),(160,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(91,1),(161,1),(162,1),(171,1),(258,1),(267,1)}
       122:{1,2,4,5,7}:{(88,1),(89,1),(158,1),(164,1),(258,1),(267,1),(298,1),(364,1),(390,1),(400,1),(451,1),(460,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(164,1),(165,1),(470,1)}
       124:{1,3,5,6}:{(89,1),(90,1),(92,1),(164,1),(166,1),(167,1),(394,1),(465,1)}
       125:{2,3,6}:{(90,1),(91,1),(161,1),(168,1)}
       126:{1,3,5,7}:{(91,1),(94,1),(162,1),(168,1),(169,1),(172,1)}
       127:{1,3,4,5}:{(92,1),(166,1),(171,1),(403,1),(477,1)}
       128:{2,3,5}:{(92,1),(93,1),(171,1),(172,1)}
       129:{1,3,4,6}:{(93,1),(94,1),(168,1),(172,1),(173,1),(273,1),(379,1),(384,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(173,1),(174,1)}
       131:{2,3,5,6}:{(96,1),(102,1),(176,1),(177,1),(394,1)}
       132:{2,4,5,7}:{(95,1),(97,1),(103,1),(158,1),(178,1),(191,1),(258,1)}
       133:{3,4,6,7}:{(95,1),(98,1),(178,1),(470,1),(474,1)}
       134:{2,3,4,7}:{(96,1),(105,1),(176,1),(180,1),(288,1),(388,1),(474,1)}
       135:{1,3,4,6}:{(96,1),(100,1),(106,1),(177,1),(180,1),(181,1),(194,1),(261,1),(362,1)}
       136:{3,5,6}:{(97,1),(98,1),(178,1)}
       137:{2,3,4,6}:{(98,1),(99,1),(108,1),(161,1),(183,1),(184,1),(292,1),(395,1),(473,1),(527,1),(545,1)}
       138:{1,3,4,5,7}:{(99,1),(100,1),(109,1),(162,1),(180,1),(184,1),(185,1),(197,1),(265,1),(277,1),(286,1),(373,1),(400,1),(403,1),(450,1),(453,1),(459,1),(474,1),(477,1),(544,1)}
       139:{2,4,5}:{(100,1),(181,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(105,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(106,1),(177,1),(189,1),(195,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(107,1),(178,1),(191,1)}
       145:{2,4,6,7}:{(104,1),(105,1),(108,1),(111,1),(191,1),(192,1)}
       146:{1,4,7}:{(105,1),(106,1),(112,1)}
       147:{1,2,4,6}:{(106,1),(110,1),(113,1),(181,1),(193,1),(194,1)}
       148:{2,5,6}:{(107,1),(108,1),(191,1),(195,1)}
       149:{1,4,6}:{(108,1),(109,1),(114,1),(195,1)}
       150:{1,2,4,5,7}:{(109,1),(110,1),(115,1),(185,1),(193,1),(196,1),(197,1),(203,1),(298,1),(306,1),(382,1),(400,1),(403,1),(460,1),(544,1),(546,1)}
       151:{1,3,5}:{(110,1),(186,1),(194,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(114,1),(192,1),(199,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(193,1),(199,1),(283,1)}
       154:{1,2,3,5,6}:{(113,1),(116,1),(194,1),(200,1),(201,1),(202,1),(284,1),(301,1),(302,1),(306,1),(402,1),(404,1)}
       155:{1,2,6}:{(114,1),(115,1)}
       156:{1,2,3,5,7}:{(115,1),(116,1),(117,1),(197,1),(202,1),(203,1),(306,1),(468,1),(519,1),(546,1)}
       157:{1,2,4}:{(116,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(205,1),(244,1)}
       159:{1,3,4,6,7}:{(118,1),(120,1),(123,1),(133,1),(205,1),(206,1),(213,1)}
       160:{1,3,5,6}:{(119,1),(120,1),(136,1),(205,1),(209,1)}
       161:{2,4,6}:{(120,1),(121,1),(125,1),(209,1),(210,1)}
       162:{1,4,5,7}:{(121,1),(126,1),(210,1),(223,1),(312,1),(322,1)}
       163:{1,2,4,5}:{(139,1),(207,1),(212,1),(221,1),(326,1),(410,1)}
       164:{1,3,5,7}:{(122,1),(123,1),(124,1),(213,1),(214,1),(435,1),(494,1)}
       165:{2,3,6,7}:{(123,1),(125,1),(206,1),(214,1),(215,1),(481,1)}
       166:{1,3,4,6}:{(124,1),(127,1),(213,1),(217,1),(354,1),(439,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(209,1),(214,1),(217,1),(218,1),(416,1),(426,1)}
       168:{1,3,6}:{(125,1),(126,1),(210,1),(219,1)}
       169:{1,2,5,7}:{(126,1),(130,1),(219,1),(224,1)}
       170:{1,2,3,5}:{(212,1),(216,1),(221,1),(326,1)}
       171:{2,4,5}:{(127,1),(128,1),(217,1),(223,1)}
       172:{1,3,5}:{(128,1),(129,1),(223,1),(224,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(219,1),(224,1),(225,1),(333,1)}
       174:{1,2,3,7}:{(130,1),(225,1),(421,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(134,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(135,1),(143,1),(228,1),(229,1)}
       178:{3,5,7}:{(132,1),(133,1),(136,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(145,1),(206,1),(227,1),(231,1),(232,1),(321,1),(334,1),(341,1),(405,1),(433,1),(436,1),(502,1),(529,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(146,1),(228,1),(233,1),(246,1),(314,1),(409,1)}
       181:{2,4,6}:{(135,1),(139,1),(229,1),(233,1),(234,1)}
       182:{3,4,5,6}:{(136,1),(230,1),(235,1),(439,1),(540,1)}
       183:{2,3,5,6}:{(136,1),(137,1),(148,1),(209,1),(231,1),(235,1),(236,1),(504,1),(540,1),(549,1)}
       184:{1,3,4,6}:{(137,1),(138,1),(149,1),(210,1),(236,1),(237,1),(249,1),(319,1),(354,1),(418,1),(439,1),(485,1),(550,1)}
       185:{2,4,5,7}:{(138,1),(139,1),(233,1),(237,1),(238,1),(331,1),(340,1),(420,1),(436,1),(440,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(234,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(146,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(147,1),(229,1),(242,1),(243,1),(248,1),(253,1),(338,1),(344,1),(354,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(148,1),(244,1)}
       192:{1,4,6,7}:{(145,1),(146,1),(149,1),(152,1),(244,1)}
       193:{1,2,4,7}:{(146,1),(147,1),(153,1),(233,1),(246,1)}
       194:{1,3,6}:{(147,1),(151,1),(234,1),(246,1)}
       195:{1,5,6}:{(148,1),(149,1),(244,1)}
       196:{1,2,4,6}:{(149,1),(150,1),(155,1),(237,1),(248,1),(249,1),(354,1),(550,1),(551,1)}
       197:{1,3,5,7}:{(150,1),(151,1),(238,1),(246,1),(249,1),(250,1),(355,1),(429,1),(494,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,5,7}:{(153,1),(154,1),(246,1),(251,1),(252,1),(337,1),(351,1),(353,1),(356,1)}
       201:{1,2,4,6}:{(154,1),(157,1),(247,1),(252,1),(253,1),(338,1),(354,1)}
       202:{1,2,3,6}:{(155,1),(156,1),(249,1),(254,1),(551,1)}
       203:{1,2,4,7}:{(156,1),(157,1),(250,1),(254,1),(501,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,5,7}:{(158,1),(159,1),(160,1),(178,1),(258,1)}
       206:{2,4,6,7}:{(159,1),(161,1),(165,1),(258,1),(259,1),(267,1)}
       207:{1,2,4,6}:{(163,1),(181,1),(256,1),(260,1),(261,1),(362,1)}
       208:{1,3,4,5,6}:{(160,1),(166,1),(182,1),(257,1),(262,1),(290,1),(369,1),(394,1),(458,1),(543,1)}
       209:{2,5,6}:{(160,1),(161,1),(258,1),(263,1)}
       210:{1,4,6}:{(161,1),(162,1),(168,1),(263,1)}
       211:{1,2,4,5,7}:{(162,1),(163,1),(169,1),(185,1),(260,1),(264,1),(265,1),(276,1),(278,1),(365,1),(374,1),(377,1),(381,1),(450,1),(453,1),(459,1)}
       212:{1,3,5}:{(163,1),(186,1),(261,1),(266,1)}
       213:{1,3,4,7}:{(164,1),(166,1),(267,1),(400,1),(474,1)}
       214:{2,3,5,7}:{(164,1),(165,1),(167,1),(258,1),(267,1),(268,1),(451,1),(461,1)}
       215:{1,3,6,7}:{(165,1),(168,1),(259,1),(268,1),(269,1)}
       216:{1,2,3,6}:{(170,1),(261,1),(270,1),(271,1)}
       217:{2,4,6}:{(166,1),(167,1),(171,1),(267,1),(273,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(172,1),(263,1),(268,1),(273,1),(274,1),(379,1)}
       219:{1,2,6}:{(168,1),(169,1)}
       220:{1,2,3,5,7}:{(169,1),(170,1),(174,1),(265,1),(270,1),(275,1),(276,1),(279,1),(377,1),(381,1)}
       221:{1,2,4}:{(170,1),(266,1)}
       222:{2,3,4,5}:{(171,1),(272,1),(277,1),(383,1),(477,1),(518,1)}
       223:{1,4,5}:{(171,1),(172,1),(273,1)}
       224:{1,2,5}:{(172,1),(173,1)}
       225:{1,2,3,6}:{(173,1),(174,1),(279,1),(379,1)}
       226:{3,5,6,7}:{(175,1),(178,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(180,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(181,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(182,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,3,5,7}:{(178,1),(179,1),(183,1),(191,1),(258,1),(285,1),(286,1),(472,1),(525,1),(542,1)}
       232:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(192,1),(259,1),(282,1),(286,1),(287,1),(299,1),(366,1),(373,1),(385,1),(400,1),(446,1),(449,1),(453,1),(470,1),(474,1),(541,1)}
       233:{2,4,7}:{(180,1),(181,1),(283,1),(288,1)}
       234:{2,3,6}:{(181,1),(186,1),(194,1),(261,1),(288,1)}
       235:{2,4,5,6}:{(182,1),(183,1),(285,1),(290,1),(395,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(195,1),(263,1),(286,1),(290,1),(291,1),(394,1),(512,1),(552,1)}
       237:{2,4,6}:{(184,1),(185,1),(291,1),(292,1)}
       238:{2,3,5,7}:{(185,1),(186,1),(197,1),(265,1),(288,1),(292,1),(293,1),(383,1),(396,1),(461,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(193,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(194,1),(284,1),(296,1),(297,1),(301,1),(394,1),(402,1)}
       244:{1,5,7}:{(191,1),(192,1),(195,1)}
       245:{1,2,4,6,7}:{(192,1),(193,1),(196,1),(199,1),(287,1),(298,1),(299,1),(400,1),(460,1),(508,1),(541,1)}
       246:{1,3,7}:{(193,1),(194,1),(288,1)}
       247:{1,3,4,6}:{(194,1),(198,1),(201,1),(289,1),(300,1),(301,1),(402,1)}
       248:{1,2,5,6}:{(195,1),(196,1),(291,1),(298,1),(302,1),(306,1),(552,1)}
       249:{1,3,6}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,7}:{(197,1),(198,1),(203,1),(293,1),(303,1),(400,1),(469,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(299,1),(304,1),(387,1),(402,1),(519,1)}
       252:{1,2,4,7}:{(200,1),(201,1),(300,1),(388,1),(400,1)}
       253:{1,2,4,5}:{(201,1),(301,1),(306,1),(389,1),(403,1)}
       254:{1,2,4,6}:{(202,1),(203,1),(303,1),(306,1)}
       255:{1,3,5,6,7}:{(204,1),(205,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(207,1),(229,1),(309,1),(310,1),(326,1),(424,1)}
       257:{1,3,4,5,7}:{(205,1),(208,1),(213,1),(230,1),(307,1),(311,1),(339,1),(411,1),(435,1),(488,1),(530,1)}
       258:{2,5,7}:{(205,1),(206,1),(209,1),(312,1)}
       259:{1,4,6,7}:{(206,1),(210,1),(215,1),(312,1),(322,1)}
       260:{1,2,4,7}:{(207,1),(233,1),(309,1),(314,1),(409,1)}
       261:{1,3,6}:{(207,1),(212,1),(234,1),(314,1)}
       262:{2,4,5,6}:{(208,1),(209,1),(217,1),(311,1),(316,1),(317,1),(416,1),(492,1),(549,1)}
       263:{1,5,6}:{(209,1),(210,1),(312,1)}
       264:{1,2,4,6}:{(210,1),(211,1),(219,1),(237,1),(318,1),(319,1),(418,1),(424,1),(485,1)}
       265:{1,3,5,7}:{(211,1),(212,1),(238,1),(314,1),(319,1),(320,1),(332,1),(419,1),(421,1)}
       266:{1,3,4}:{(212,1),(221,1),(239,1)}
       267:{2,4,7}:{(213,1),(214,1),(217,1),(322,1)}
       268:{1,3,5,7}:{(214,1),(215,1),(218,1),(312,1),(322,1),(323,1),(421,1)}
       269:{1,2,6,7}:{(215,1),(219,1),(323,1),(481,1)}
       270:{1,2,3,7}:{(216,1),(314,1),(325,1)}
       271:{1,2,4,6}:{(216,1),(221,1),(315,1),(325,1),(326,1),(424,1)}
       272:{2,3,4,6}:{(217,1),(222,1),(316,1),(321,1),(327,1),(426,1),(439,1),(492,1)}
       273:{1,4,6}:{(217,1),(218,1),(223,1),(322,1)}
       274:{1,2,5,6}:{(218,1),(219,1),(224,1),(323,1),(328,1),(416,1)}
       275:{1,2,3,6}:{(219,1),(220,1),(319,1),(330,1),(424,1)}
       276:{1,2,4,7}:{(220,1),(221,1),(320,1),(330,1),(333,1)}
       277:{1,3,4,5}:{(222,1),(223,1),(327,1),(331,1),(332,1),(429,1),(535,1)}
       278:{1,2,4,5}:{(223,1),(224,1),(328,1),(331,1),(332,1),(333,1)}
       279:{1,2,3,5}:{(224,1),(225,1),(332,1),(333,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(231,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(233,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(234,1),(243,1),(310,1),(337,1),(338,1),(343,1),(438,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(235,1),(334,1),(339,1),(436,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(244,1),(312,1),(339,1),(340,1),(435,1),(484,1),(548,1)}
       287:{2,4,6,7}:{(232,1),(233,1),(237,1),(336,1),(340,1),(341,1),(420,1),(436,1),(481,1)}
       288:{2,3,7}:{(233,1),(234,1),(246,1),(314,1)}
       289:{2,3,4,6}:{(234,1),(239,1),(247,1),(315,1),(338,1),(342,1),(343,1),(438,1)}
       290:{1,4,5,6}:{(235,1),(236,1),(339,1),(344,1),(354,1),(418,1)}
       291:{2,5,6}:{(236,1),(237,1),(340,1)}
       292:{2,3,6}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(250,1),(320,1),(346,1),(430,1),(436,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(246,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(354,1),(439,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(248,1),(340,1),(351,1),(548,1)}
       299:{1,3,6,7}:{(245,1),(246,1),(249,1),(341,1),(351,1),(494,1)}
       300:{1,3,4,7}:{(246,1),(247,1),(252,1),(342,1),(353,1)}
       301:{1,3,5}:{(247,1),(253,1),(343,1)}
       302:{1,3,5,6}:{(248,1),(249,1),(345,1),(351,1),(354,1),(355,1)}
       303:{1,3,4,6}:{(249,1),(250,1),(254,1),(346,1),(354,1),(355,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(254,1),(352,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,4,5,7}:{(252,1),(253,1),(353,1),(356,1),(357,1),(434,1),(444,1)}
       306:{1,2,5}:{(254,1),(355,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(258,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(260,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(261,1),(284,1),(361,1),(362,1),(368,1),(455,1),(512,1)}
       311:{2,4,5,7}:{(257,1),(258,1),(262,1),(267,1),(358,1),(363,1),(364,1),(451,1),(514,1),(542,1)}
       312:{1,5,7}:{(258,1),(259,1),(263,1)}
       313:{1,2,4,6,7}:{(259,1),(260,1),(264,1),(269,1),(287,1),(360,1),(365,1),(366,1),(374,1),(449,1),(453,1)}
       314:{1,3,7}:{(260,1),(261,1),(288,1)}
       315:{1,3,4,6}:{(261,1),(266,1),(271,1),(289,1),(362,1),(367,1),(368,1),(455,1)}
       316:{2,3,5,6}:{(262,1),(272,1),(363,1),(369,1),(394,1)}
       317:{1,4,5,6}:{(262,1),(263,1),(273,1),(364,1),(369,1),(517,1),(552,1)}
       318:{1,2,5,6}:{(263,1),(264,1),(291,1),(365,1),(371,1),(381,1),(512,1)}
       319:{1,3,6}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,7}:{(265,1),(266,1),(276,1),(293,1),(372,1),(384,1),(453,1)}
       321:{2,3,4,7}:{(267,1),(272,1),(363,1),(373,1),(461,1),(474,1),(514,1)}
       322:{1,4,7}:{(267,1),(268,1),(273,1)}
       323:{1,2,5,7}:{(268,1),(269,1),(274,1),(374,1),(451,1)}
       324:{1,2,3,6,7}:{(269,1),(270,1),(275,1),(366,1),(375,1),(376,1),(509,1),(522,1)}
       325:{1,2,4,7}:{(270,1),(271,1),(367,1),(377,1)}
       326:{1,2,5}:{(271,1),(368,1)}
       327:{1,3,4,6}:{(272,1),(273,1),(277,1),(369,1),(373,1),(378,1),(379,1),(465,1),(517,1)}
       328:{1,2,4,6}:{(273,1),(274,1),(278,1),(374,1),(378,1),(379,1)}
       329:{1,2,3,5,6}:{(274,1),(275,1),(279,1),(371,1),(375,1),(379,1),(380,1),(381,1),(457,1),(464,1),(467,1),(522,1)}
       330:{1,2,4,6}:{(275,1),(276,1),(372,1),(381,1)}
       331:{2,4,5}:{(277,1),(378,1),(383,1)}
       332:{1,3,5}:{(278,1),(379,1),(383,1),(384,1)}
       333:{1,2,4}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(286,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(288,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(290,1),(385,1),(390,1),(400,1),(453,1)}
       340:{2,5,7}:{(286,1),(287,1),(291,1)}
       341:{2,3,6,7}:{(287,1),(288,1),(292,1),(299,1),(366,1),(391,1),(461,1),(470,1)}
       342:{2,3,4,7}:{(288,1),(289,1),(300,1),(367,1),(388,1),(393,1)}
       343:{2,3,5}:{(289,1),(301,1),(368,1),(389,1)}
       344:{2,4,5,6}:{(290,1),(291,1),(390,1),(394,1),(395,1)}
       345:{2,3,5,6}:{(291,1),(292,1),(302,1),(371,1),(391,1),(394,1),(395,1),(396,1)}
       346:{2,3,4,6}:{(292,1),(293,1),(303,1),(372,1),(395,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(402,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(301,1),(389,1),(403,1),(477,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(302,1),(391,1),(400,1)}
       352:{1,3,4,6,7}:{(299,1),(300,1),(303,1),(304,1),(392,1),(400,1),(401,1),(402,1),(480,1),(520,1),(541,1),(547,1)}
       353:{1,3,5,7}:{(300,1),(301,1),(305,1),(393,1),(402,1)}
       354:{1,4,6}:{(302,1),(395,1),(400,1),(403,1)}
       355:{1,3,5}:{(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(306,1),(401,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(305,1),(402,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(311,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(312,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(424,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(314,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(316,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,4,5,7}:{(311,1),(312,1),(317,1),(322,1),(406,1),(411,1),(532,1),(548,1)}
       365:{1,2,5,7}:{(312,1),(313,1),(318,1),(340,1),(413,1),(484,1)}
       366:{1,3,6,7}:{(313,1),(314,1),(319,1),(341,1),(413,1),(421,1)}
       367:{1,3,4,7}:{(314,1),(315,1),(325,1),(342,1),(409,1),(415,1)}
       368:{1,3,5}:{(315,1),(326,1),(343,1),(410,1)}
       369:{1,3,5,6}:{(316,1),(317,1),(327,1),(411,1),(416,1)}
       370:{1,2,4,5,6}:{(317,1),(318,1),(328,1),(344,1),(412,1),(416,1),(417,1),(418,1),(428,1),(492,1),(497,1),(531,1),(549,1)}
       371:{1,3,5,6}:{(318,1),(319,1),(345,1),(413,1),(418,1),(419,1)}
       372:{1,3,4,6}:{(319,1),(320,1),(330,1),(346,1),(418,1),(419,1)}
       373:{1,3,4,7}:{(321,1),(322,1),(327,1),(411,1),(420,1),(421,1),(494,1),(532,1)}
       374:{1,2,4,7}:{(322,1),(323,1),(328,1),(420,1),(421,1)}
       375:{1,2,3,5,7}:{(323,1),(324,1),(329,1),(413,1),(421,1),(422,1),(423,1),(487,1),(496,1)}
       376:{1,2,4,6,7}:{(324,1),(325,1),(330,1),(414,1),(422,1),(423,1),(424,1),(497,1),(529,1)}
       377:{1,2,5,7}:{(325,1),(326,1),(415,1),(424,1)}
       378:{2,4,6}:{(327,1),(331,1),(416,1),(420,1),(426,1)}
       379:{1,3,6}:{(328,1),(332,1),(421,1),(426,1)}
       380:{1,2,4,6}:{(329,1),(333,1),(418,1),(422,1),(427,1),(428,1),(492,1)}
       381:{1,2,5}:{(330,1),(419,1)}
       382:{1,2,4,5}:{(331,1),(425,1),(429,1),(501,1),(535,1),(539,1)}
       383:{2,3,5}:{(331,1),(332,1),(426,1),(429,1),(430,1)}
       384:{1,3,4}:{(332,1),(333,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(340,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(438,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(343,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(344,1),(431,1),(435,1),(436,1)}
       391:{2,3,5,7}:{(340,1),(341,1),(345,1),(351,1),(413,1),(435,1),(436,1)}
       392:{2,3,4,6,7}:{(341,1),(342,1),(346,1),(352,1),(414,1),(433,1),(436,1),(437,1),(438,1),(495,1),(502,1),(506,1),(529,1),(538,1)}
       393:{2,3,5,7}:{(342,1),(343,1),(353,1),(415,1),(434,1),(438,1)}
       394:{3,5,6}:{(344,1),(435,1),(439,1)}
       395:{2,4,6}:{(345,1),(354,1),(418,1),(436,1),(439,1),(440,1)}
       396:{2,3,5}:{(346,1),(355,1),(419,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(353,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(354,1),(436,1)}
       401:{1,3,5,7}:{(352,1),(355,1),(356,1),(437,1),(444,1),(445,1),(548,1)}
       402:{1,3,6}:{(353,1),(357,1),(438,1)}
       403:{1,4,5}:{(354,1),(355,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(364,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(365,1),(386,1),(447,1),(448,1),(464,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(455,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(368,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(369,1),(373,1),(446,1),(451,1)}
       412:{1,2,4,5,7}:{(364,1),(365,1),(370,1),(374,1),(390,1),(447,1),(451,1),(452,1),(453,1),(511,1),(514,1),(542,1)}
       413:{1,3,5,7}:{(365,1),(366,1),(371,1),(391,1),(453,1)}
       414:{1,3,4,6,7}:{(366,1),(367,1),(372,1),(376,1),(392,1),(449,1),(453,1),(454,1),(455,1),(462,1),(516,1),(522,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(377,1),(393,1),(450,1),(455,1)}
       416:{2,5,6}:{(369,1),(378,1),(451,1)}
       417:{1,3,5,6}:{(370,1),(379,1),(394,1),(452,1),(457,1),(458,1),(467,1),(522,1)}
       418:{1,4,6}:{(371,1),(395,1),(453,1),(459,1)}
       419:{1,3,5}:{(372,1),(381,1),(396,1),(459,1)}
       420:{2,4,7}:{(373,1),(378,1),(451,1),(461,1)}
       421:{1,3,7}:{(374,1),(379,1),(461,1)}
       422:{1,2,4,7}:{(375,1),(380,1),(453,1),(462,1),(514,1)}
       423:{1,2,5,7}:{(376,1),(381,1),(454,1),(464,1),(542,1)}
       424:{1,2,6}:{(377,1),(455,1)}
       425:{1,2,4,6}:{(378,1),(382,1),(456,1),(460,1),(465,1),(517,1)}
       426:{2,3,6}:{(378,1),(379,1),(383,1),(461,1),(465,1)}
       427:{1,3,4,6}:{(379,1),(380,1),(384,1),(462,1),(466,1),(467,1),(522,1)}
       428:{1,2,4,5}:{(380,1),(381,1),(459,1),(467,1),(518,1)}
       429:{1,3,5}:{(382,1),(383,1),(465,1),(469,1)}
       430:{2,3,4}:{(383,1),(384,1),(469,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(391,1),(397,1),(448,1),(470,1),(471,1),(472,1),(476,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(393,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(394,1),(470,1),(474,1)}
       436:{2,4,7}:{(391,1),(395,1),(400,1),(453,1),(474,1)}
       437:{2,3,5,7}:{(392,1),(396,1),(401,1),(454,1),(472,1),(475,1),(476,1),(525,1),(542,1)}
       438:{2,3,6}:{(393,1),(402,1),(455,1),(473,1)}
       439:{3,4,6}:{(394,1),(395,1),(474,1),(477,1)}
       440:{2,4,5}:{(395,1),(396,1),(403,1),(459,1),(477,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(402,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(403,1),(475,1),(480,1)}
       445:{1,3,5,6}:{(401,1),(402,1),(404,1),(476,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(412,1),(431,1),(481,1),(482,1),(483,1),(497,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(413,1),(432,1),(482,1),(483,1),(484,1),(490,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(415,1),(434,1),(484,1),(485,1)}
       451:{2,5,7}:{(411,1),(416,1),(420,1),(481,1)}
       452:{1,3,5,7}:{(412,1),(417,1),(421,1),(435,1),(482,1),(487,1),(488,1)}
       453:{1,4,7}:{(413,1),(418,1),(436,1)}
       454:{1,3,5,7}:{(414,1),(419,1),(423,1),(437,1),(484,1),(489,1),(490,1)}
       455:{1,3,6}:{(415,1),(424,1),(438,1),(485,1)}
       456:{1,2,5,6}:{(416,1),(425,1),(486,1),(491,1),(539,1),(551,1)}
       457:{2,3,5,6}:{(416,1),(417,1),(426,1),(487,1),(491,1),(492,1),(500,1),(538,1),(549,1)}
       458:{1,3,4,6}:{(417,1),(418,1),(439,1),(488,1),(492,1),(493,1)}
       459:{1,4,5}:{(418,1),(419,1),(440,1)}
       460:{1,2,4,7}:{(420,1),(425,1),(486,1),(494,1),(532,1)}
       461:{2,3,7}:{(420,1),(421,1),(426,1),(494,1)}
       462:{1,3,4,7}:{(421,1),(422,1),(427,1),(495,1),(496,1)}
       463:{1,2,4,5,7}:{(422,1),(423,1),(428,1),(489,1),(496,1),(497,1),(533,1)}
       464:{1,2,5,6}:{(423,1),(424,1),(490,1),(497,1),(549,1)}
       465:{1,3,6}:{(425,1),(426,1),(429,1),(494,1)}
       466:{2,3,4,6}:{(426,1),(427,1),(430,1),(492,1),(495,1),(499,1),(500,1),(538,1)}
       467:{1,3,5}:{(427,1),(428,1),(500,1)}
       468:{1,2,3,5}:{(429,1),(498,1),(501,1),(539,1)}
       469:{1,3,4}:{(429,1),(430,1),(501,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(436,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(438,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(439,1)}
       475:{2,4,5,7}:{(436,1),(437,1),(440,1),(444,1),(489,1),(505,1),(506,1)}
       476:{2,3,5,6}:{(437,1),(438,1),(445,1),(490,1),(504,1),(506,1),(538,1),(540,1),(549,1)}
       477:{3,4,5}:{(439,1),(440,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(451,1)}
       482:{1,3,6,7}:{(447,1),(452,1),(470,1),(509,1),(522,1)}
       483:{1,4,6,7}:{(448,1),(453,1),(471,1),(511,1),(516,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(455,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(456,1),(460,1),(508,1),(513,1)}
       487:{2,3,5,7}:{(451,1),(452,1),(457,1),(461,1),(509,1),(513,1),(514,1),(542,1)}
       488:{1,3,4,7}:{(452,1),(453,1),(458,1),(474,1),(514,1)}
       489:{1,4,5,7}:{(453,1),(454,1),(459,1),(475,1),(516,1)}
       490:{1,3,5,6}:{(454,1),(455,1),(464,1),(476,1),(512,1),(516,1),(522,1)}
       491:{1,3,5,6}:{(456,1),(457,1),(465,1),(513,1),(517,1),(524,1),(547,1),(552,1)}
       492:{2,4,6}:{(457,1),(458,1),(514,1),(517,1),(518,1)}
       493:{1,3,4,5}:{(458,1),(459,1),(467,1),(477,1),(518,1)}
       494:{1,3,7}:{(460,1),(461,1),(465,1)}
       495:{2,3,4,7}:{(461,1),(462,1),(466,1),(514,1),(520,1),(521,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(467,1),(521,1),(522,1)}
       497:{1,2,4,6}:{(463,1),(464,1),(516,1),(522,1),(545,1)}
       498:{1,2,3,6}:{(465,1),(468,1),(519,1),(523,1)}
       499:{1,3,4,6}:{(465,1),(466,1),(469,1),(517,1),(520,1),(523,1),(524,1),(547,1)}
       500:{2,3,5}:{(466,1),(467,1),(518,1),(524,1)}
       501:{1,2,4}:{(468,1),(469,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(477,1),(525,1),(527,1)}
       506:{2,4,6}:{(475,1),(476,1),(480,1),(516,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(487,1),(528,1),(529,1),(538,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(488,1),(502,1),(529,1),(530,1),(534,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(491,1),(494,1),(528,1),(532,1),(548,1)}
       514:{2,4,7}:{(487,1),(488,1),(492,1),(532,1)}
       515:{1,3,4,5,7}:{(488,1),(489,1),(493,1),(496,1),(505,1),(530,1),(533,1),(534,1)}
       516:{1,4,6}:{(489,1),(490,1),(506,1)}
       517:{1,4,6}:{(491,1),(492,1),(532,1),(535,1)}
       518:{2,4,5}:{(492,1),(493,1),(500,1),(535,1)}
       519:{1,2,3,7}:{(494,1),(498,1),(536,1)}
       520:{1,3,4,7}:{(494,1),(495,1),(499,1),(532,1),(536,1),(537,1)}
       521:{2,3,5,7}:{(495,1),(496,1),(500,1),(533,1),(537,1),(538,1)}
       522:{1,3,6}:{(496,1),(497,1),(538,1)}
       523:{1,2,4,6}:{(498,1),(499,1),(501,1),(536,1),(539,1),(551,1)}
       524:{1,3,5}:{(499,1),(500,1),(535,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(514,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(516,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(517,1)}
       533:{2,4,5,7}:{(514,1),(515,1),(518,1),(521,1),(542,1),(544,1),(545,1)}
       534:{1,3,4,6}:{(515,1),(516,1),(522,1),(527,1),(543,1),(545,1)}
       535:{1,4,5}:{(517,1),(518,1),(524,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(523,1),(546,1)}
       537:{1,3,5,7}:{(520,1),(521,1),(524,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(522,1),(545,1),(547,1)}
       539:{1,2,5}:{(523,1),(524,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(534,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(535,1),(537,1),(548,1),(550,1)}
       545:{2,4,6}:{(533,1),(534,1),(538,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,3,6}:{(537,1),(538,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1683 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(63,1),(138,1),(234,1),(238,1),(243,1),(351,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(94,1),(401,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(295,1),(400,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(135,1),(238,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(243,1),(352,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(444,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(138,1),(346,1),(350,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(97,1),(194,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(295,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(107,1),(119,1),(121,1),(185,1),(191,1),(299,1),(314,1),(401,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(187,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(252,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(238,1),(369,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(240,1),(283,1),(350,1),(387,1),(390,1),(444,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(155,1),(167,1),(169,1),(241,1),(249,1),(353,1),(368,1),(444,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(243,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(401,1),(415,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(191,1),(194,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(196,1),(227,1),(231,1),(310,1),(336,1),(339,1),(414,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(295,1),(417,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(297,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(210,1),(307,1),(412,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(65,1),(142,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(74,1),(81,1),(150,1),(158,1),(163,1),(246,1),(264,1),(267,1),(271,1)}
        42:{1,3,4,5,6}:{(26,1),(69,1),(70,1),(80,1),(140,1),(258,1),(260,1),(261,1),(369,1),(373,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(517,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(444,1),(457,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(249,1),(252,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(254,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(455,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(352,1),(444,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(268,1),(353,1),(362,1),(471,1)}
        63:{1,2,3,5}:{(93,1),(94,1),(180,1),(183,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(99,1),(110,1),(183,1),(287,1)}
        65:{2,3,4,6}:{(40,1),(46,1),(96,1),(99,1),(101,1),(194,1),(302,1),(415,1)}
        66:{2,3,4,5,7}:{(40,1),(47,1),(100,1),(101,1),(102,1),(131,1),(195,1),(201,1),(230,1),(303,1),(312,1),(411,1),(414,1),(416,1),(476,1),(493,1)}
        67:{1,2,4,6}:{(41,1),(43,1),(103,1),(104,1),(105,1),(302,1),(327,1)}
        68:{1,2,3,5,7}:{(41,1),(105,1),(106,1),(122,1),(205,1),(209,1),(213,1),(304,1),(326,1)}
        69:{2,4,5,6}:{(42,1),(46,1),(96,1),(107,1),(108,1),(119,1),(191,1),(302,1),(408,1)}
        70:{1,3,4,5,7}:{(42,1),(48,1),(108,1),(109,1),(120,1),(192,1),(315,1),(317,1),(318,1),(417,1),(421,1)}
        71:{1,3,4}:{(43,1),(97,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(98,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(537,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(191,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(536,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(307,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(312,1),(414,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(400,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(238,1)}
        94:{1,2,4}:{(63,1),(135,1)}
        95:{1,2,3,5,7}:{(63,1),(134,1),(137,1),(138,1),(235,1),(239,1),(243,1),(388,1),(389,1),(470,1)}
        96:{2,3,5,6}:{(65,1),(69,1),(140,1),(141,1),(369,1)}
        97:{2,3,4}:{(71,1),(135,1),(142,1)}
        98:{2,4,5}:{(64,1),(142,1),(144,1)}
        99:{1,3,4,6}:{(64,1),(65,1),(75,1),(140,1),(144,1),(146,1),(158,1),(238,1),(341,1)}
       100:{1,3,4,5,7}:{(64,1),(66,1),(76,1),(145,1),(146,1),(147,1),(159,1),(239,1),(257,1),(272,1),(286,1),(342,1),(352,1),(367,1),(377,1),(444,1),(457,1),(459,1),(507,1),(520,1)}
       101:{2,3,4,7}:{(65,1),(77,1),(141,1),(146,1),(252,1),(357,1),(457,1)}
       102:{2,3,4,6}:{(66,1),(78,1),(147,1),(149,1),(178,1),(253,1),(285,1),(358,1),(366,1),(454,1),(506,1)}
       103:{1,3,4,6}:{(67,1),(71,1),(139,1),(150,1),(151,1),(158,1),(264,1)}
       104:{1,2,4,5}:{(67,1),(150,1),(163,1),(245,1),(272,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(151,1),(357,1),(377,1)}
       106:{1,2,3,6,7}:{(68,1),(74,1),(154,1),(170,1),(264,1),(270,1),(359,1),(511,1)}
       107:{1,4,5,6}:{(69,1),(75,1),(140,1),(155,1),(166,1),(341,1),(436,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(77,1),(141,1),(155,1),(156,1),(167,1),(249,1),(357,1),(451,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(363,1),(364,1),(455,1)}
       110:{1,3,5}:{(71,1),(72,1),(142,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(143,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(144,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(145,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(514,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(516,1),(517,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(249,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(362,1),(365,1),(384,1),(386,1),(455,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(367,1),(457,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(444,1)}
       133:{1,2,4,6}:{(93,1),(94,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(295,1)}
       135:{1,3,4}:{(94,1),(97,1),(183,1)}
       136:{1,2,4,5}:{(94,1),(98,1),(180,1),(183,1),(185,1),(287,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(184,1),(187,1),(502,1)}
       138:{1,2,3,6}:{(95,1),(187,1),(292,1),(296,1),(434,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(194,1),(302,1),(305,1)}
       140:{1,3,5,6}:{(96,1),(99,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(101,1),(108,1),(192,1),(193,1),(417,1)}
       142:{2,3,5}:{(97,1),(98,1),(110,1),(183,1),(194,1)}
       143:{2,3,4,7}:{(97,1),(111,1),(184,1),(195,1),(196,1),(414,1),(541,1)}
       144:{2,4,6}:{(98,1),(99,1),(191,1),(194,1),(197,1)}
       145:{2,4,5,7}:{(98,1),(100,1),(195,1),(197,1),(198,1),(312,1),(313,1),(414,1),(495,1),(539,1)}
       146:{1,3,4,7}:{(99,1),(101,1),(116,1),(192,1),(197,1),(213,1),(295,1),(391,1)}
       147:{1,3,4,6}:{(100,1),(102,1),(117,1),(198,1),(200,1),(214,1),(296,1),(327,1),(340,1),(392,1),(401,1),(415,1),(530,1)}
       148:{2,3,4,6,7}:{(101,1),(102,1),(118,1),(193,1),(199,1),(201,1),(231,1),(309,1),(310,1),(339,1),(407,1),(414,1),(490,1),(491,1),(493,1),(529,1)}
       149:{2,3,5,6}:{(102,1),(119,1),(200,1),(201,1),(202,1),(223,1),(334,1),(408,1),(489,1),(528,1)}
       150:{1,3,5}:{(103,1),(104,1),(189,1)}
       151:{1,3,4,7}:{(103,1),(105,1),(190,1),(205,1),(213,1)}
       152:{1,2,4,5,6}:{(104,1),(107,1),(112,1),(191,1),(204,1),(207,1),(208,1),(217,1),(302,1),(314,1),(327,1),(408,1),(422,1)}
       153:{1,2,4,5,7}:{(104,1),(105,1),(205,1),(208,1),(209,1),(303,1),(322,1)}
       154:{1,2,4,6,7}:{(105,1),(106,1),(114,1),(206,1),(208,1),(209,1),(407,1),(480,1),(532,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(116,1),(192,1),(210,1),(220,1),(391,1),(472,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(307,1)}
       157:{1,3,5,6,7}:{(109,1),(120,1),(211,1),(212,1),(325,1),(421,1)}
       158:{1,3,6}:{(110,1),(112,1),(194,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(195,1),(213,1),(214,1),(215,1),(535,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(196,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(197,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(198,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(537,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(307,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(414,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(139,1),(232,1),(233,1),(238,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(138,1),(236,1),(237,1),(350,1),(441,1),(471,1),(508,1)}
       183:{1,3,5}:{(135,1),(136,1),(142,1),(238,1)}
       184:{1,3,4,7}:{(135,1),(137,1),(143,1),(239,1),(240,1),(444,1),(526,1)}
       185:{1,2,4,6}:{(136,1),(144,1),(234,1),(238,1),(241,1),(341,1)}
       186:{1,2,4,5,7}:{(136,1),(137,1),(145,1),(235,1),(239,1),(241,1),(242,1),(243,1),(286,1),(342,1),(352,1),(353,1),(388,1),(444,1),(467,1),(524,1)}
       187:{1,2,4,6}:{(137,1),(138,1),(240,1),(243,1)}
       188:{1,2,3,5,6}:{(138,1),(237,1),(243,1),(244,1),(347,1),(351,1),(355,1),(441,1),(448,1),(469,1),(470,1),(525,1)}
       189:{2,3,5}:{(139,1),(150,1),(232,1),(245,1)}
       190:{2,3,4,7}:{(139,1),(151,1),(233,1),(247,1),(252,1),(357,1)}
       191:{2,5,6}:{(140,1),(144,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(146,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(455,1)}
       194:{2,3,6}:{(142,1),(144,1),(158,1),(238,1),(252,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(145,1),(159,1),(239,1),(252,1),(253,1),(254,1),(522,1),(550,1)}
       196:{2,3,4,6}:{(143,1),(160,1),(240,1),(253,1),(254,1),(366,1)}
       197:{2,4,7}:{(144,1),(146,1),(249,1),(252,1)}
       198:{2,4,6}:{(145,1),(147,1),(253,1),(256,1)}
       199:{1,3,4,6,7}:{(146,1),(147,1),(148,1),(165,1),(250,1),(255,1),(257,1),(270,1),(350,1),(363,1),(377,1),(390,1),(435,1),(444,1),(455,1),(457,1),(519,1),(520,1),(545,1)}
       200:{1,3,5,6}:{(147,1),(149,1),(166,1),(256,1),(257,1),(258,1),(369,1),(385,1),(436,1),(544,1)}
       201:{2,3,5,7}:{(148,1),(149,1),(167,1),(257,1),(259,1),(279,1),(384,1),(451,1),(518,1),(543,1)}
       202:{2,4,5,6}:{(149,1),(258,1),(259,1),(260,1),(366,1)}
       203:{1,3,4,5}:{(150,1),(245,1),(261,1),(272,1),(367,1)}
       204:{1,3,5,6}:{(150,1),(152,1),(158,1),(246,1),(261,1),(263,1),(264,1),(369,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,4,6,7}:{(151,1),(154,1),(160,1),(248,1),(264,1),(265,1),(270,1),(375,1),(377,1),(443,1),(509,1),(545,1)}
       207:{1,2,4,5,7}:{(152,1),(155,1),(161,1),(249,1),(263,1),(266,1),(273,1),(357,1),(368,1),(377,1),(451,1),(463,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(267,1),(358,1),(375,1)}
       209:{1,2,5,7}:{(154,1),(163,1),(265,1),(267,1),(451,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(167,1),(268,1),(451,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(363,1),(463,1),(464,1)}
       213:{1,3,7}:{(158,1),(161,1),(252,1)}
       214:{1,3,6}:{(159,1),(162,1),(253,1)}
       215:{1,3,5}:{(160,1),(163,1),(254,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(255,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(256,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(362,1),(384,1),(464,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(455,1),(457,1)}
       232:{1,3,5}:{(179,1),(180,1),(189,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(190,1),(289,1),(295,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(191,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(187,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(188,1),(293,1),(294,1),(398,1),(400,1),(484,1),(501,1),(542,1)}
       238:{1,3,6}:{(183,1),(185,1),(194,1),(295,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(186,1),(195,1),(295,1),(296,1),(297,1),(500,1),(542,1)}
       240:{1,3,4,6}:{(184,1),(187,1),(196,1),(296,1),(297,1),(401,1)}
       241:{1,2,4,7}:{(185,1),(197,1),(291,1),(295,1),(391,1)}
       242:{1,2,4,6}:{(186,1),(198,1),(292,1),(296,1),(299,1),(340,1),(392,1),(401,1),(434,1)}
       243:{1,2,5}:{(187,1),(297,1)}
       244:{1,2,4,6}:{(188,1),(294,1),(300,1),(301,1),(401,1),(482,1),(502,1)}
       245:{2,4,5}:{(189,1),(203,1),(287,1),(302,1)}
       246:{2,3,5,6}:{(189,1),(191,1),(194,1),(204,1),(288,1),(302,1),(304,1),(305,1),(408,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(289,1),(303,1),(305,1)}
       248:{2,3,4,6,7}:{(190,1),(196,1),(206,1),(290,1),(305,1),(306,1),(310,1),(399,1),(407,1),(410,1),(414,1),(478,1),(490,1),(529,1)}
       249:{2,5,7}:{(191,1),(192,1),(197,1),(307,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(307,1)}
       251:{2,3,5,6,7}:{(193,1),(201,1),(211,1),(308,1),(309,1),(325,1),(424,1),(491,1)}
       252:{2,3,7}:{(194,1),(197,1),(213,1),(295,1)}
       253:{2,3,6}:{(195,1),(198,1),(214,1),(296,1)}
       254:{2,3,5}:{(196,1),(215,1),(297,1),(312,1)}
       255:{2,4,6,7}:{(197,1),(198,1),(199,1),(307,1),(310,1),(313,1),(414,1),(538,1),(539,1)}
       256:{2,5,6}:{(198,1),(200,1),(313,1)}
       257:{1,3,5,7}:{(199,1),(200,1),(201,1),(220,1),(313,1),(315,1),(417,1),(432,1),(472,1),(551,1)}
       258:{1,4,5,6}:{(200,1),(202,1),(314,1),(315,1),(327,1),(401,1)}
       259:{2,4,5,7}:{(201,1),(202,1),(309,1),(315,1),(317,1),(414,1)}
       260:{3,4,5,6}:{(202,1),(223,1),(317,1),(415,1),(489,1)}
       261:{1,3,4,6}:{(203,1),(204,1),(302,1),(318,1),(327,1),(415,1)}
       262:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(318,1),(319,1),(322,1),(411,1),(421,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(304,1),(318,1),(320,1),(417,1)}
       264:{1,3,6}:{(205,1),(208,1),(305,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(306,1),(321,1),(322,1),(551,1)}
       266:{1,2,4,6,7}:{(207,1),(208,1),(210,1),(307,1),(320,1),(323,1),(407,1),(412,1),(423,1)}
       267:{1,2,5,6}:{(208,1),(209,1),(321,1),(408,1),(532,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(220,1),(472,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(222,1),(309,1),(324,1),(325,1),(412,1),(424,1),(488,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(310,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(311,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(312,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(313,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(314,1),(327,1),(329,1),(330,1),(334,1),(420,1),(426,1),(497,1),(534,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(412,1),(492,1),(538,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(245,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(238,1),(246,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(240,1),(248,1),(344,1),(345,1),(349,1),(350,1),(435,1),(438,1),(441,1),(444,1)}
       291:{1,2,5,7}:{(234,1),(241,1),(249,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(243,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(244,1),(349,1),(444,1),(512,1)}
       295:{1,3,7}:{(238,1),(241,1),(252,1)}
       296:{1,3,6}:{(239,1),(242,1),(253,1)}
       297:{1,3,5}:{(240,1),(243,1),(254,1),(352,1)}
       298:{1,2,4,6,7}:{(241,1),(242,1),(255,1),(346,1),(350,1),(353,1),(390,1),(435,1),(444,1),(471,1),(524,1)}
       299:{1,2,5,6}:{(242,1),(243,1),(256,1),(351,1),(353,1),(385,1),(436,1)}
       300:{1,2,4,5}:{(243,1),(244,1),(352,1),(355,1),(446,1)}
       301:{1,3,4,6}:{(244,1),(349,1),(355,1),(356,1),(441,1),(525,1),(526,1)}
       302:{2,4,6}:{(245,1),(246,1),(261,1),(341,1),(357,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(262,1),(342,1),(357,1),(358,1),(451,1)}
       304:{2,3,5,7}:{(246,1),(249,1),(252,1),(263,1),(343,1),(357,1),(359,1),(451,1)}
       305:{2,3,6}:{(247,1),(264,1),(344,1),(358,1)}
       306:{2,3,5,7}:{(248,1),(254,1),(265,1),(345,1),(360,1),(361,1),(451,1),(518,1),(543,1)}
       307:{2,6,7}:{(249,1),(250,1)}
       308:{1,3,5,6,7}:{(250,1),(251,1),(257,1),(268,1),(362,1),(363,1),(455,1),(464,1),(519,1)}
       309:{2,4,6,7}:{(251,1),(259,1),(363,1),(364,1)}
       310:{2,3,6,7}:{(252,1),(253,1),(255,1),(270,1),(350,1),(365,1),(455,1),(550,1)}
       311:{2,3,5,6}:{(253,1),(254,1),(256,1),(271,1),(351,1),(365,1),(366,1),(369,1)}
       312:{2,4,5}:{(254,1),(272,1),(352,1),(366,1),(367,1)}
       313:{2,5,7}:{(255,1),(256,1),(257,1)}
       314:{2,4,5,6}:{(256,1),(258,1),(366,1),(368,1),(369,1)}
       315:{1,4,5,7}:{(257,1),(258,1),(259,1),(363,1),(368,1),(377,1),(444,1)}
       316:{1,3,4,5,6}:{(258,1),(260,1),(278,1),(369,1),(370,1),(371,1),(378,1),(445,1),(461,1),(504,1)}
       317:{3,4,5,7}:{(259,1),(260,1),(279,1),(364,1),(457,1),(518,1)}
       318:{1,3,4,7}:{(261,1),(263,1),(357,1),(377,1),(457,1)}
       319:{1,3,4,6}:{(262,1),(264,1),(358,1),(373,1),(375,1),(454,1)}
       320:{1,3,6,7}:{(263,1),(264,1),(266,1),(359,1),(455,1)}
       321:{1,3,5,6}:{(264,1),(265,1),(267,1),(360,1),(375,1),(509,1),(544,1)}
       322:{1,4,5,7}:{(265,1),(272,1),(361,1),(375,1),(377,1)}
       323:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(273,1),(362,1),(374,1),(451,1),(546,1)}
       324:{1,4,5,6,7}:{(268,1),(269,1),(277,1),(363,1),(376,1),(503,1)}
       325:{3,5,6,7}:{(269,1),(279,1),(364,1),(455,1),(518,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(365,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(366,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(367,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(368,1),(377,1),(380,1),(384,1),(462,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(369,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(455,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(302,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(303,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(295,1),(304,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(305,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(297,1),(306,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(307,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(300,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(301,1),(398,1),(399,1),(542,1)}
       350:{1,3,6,7}:{(295,1),(296,1),(298,1),(310,1),(400,1),(542,1)}
       351:{1,3,5,6}:{(296,1),(297,1),(299,1),(311,1),(400,1),(401,1)}
       352:{1,4,5}:{(297,1),(312,1),(401,1)}
       353:{1,2,5,7}:{(298,1),(299,1),(313,1),(400,1),(432,1),(472,1)}
       354:{1,2,4,5,6}:{(299,1),(300,1),(314,1),(397,1),(401,1),(403,1),(404,1),(420,1),(473,1),(482,1),(497,1),(499,1),(528,1)}
       355:{1,3,5}:{(300,1),(301,1),(405,1)}
       356:{2,3,4,6}:{(301,1),(399,1),(405,1),(406,1),(478,1),(482,1),(540,1),(541,1)}
       357:{2,4,7}:{(302,1),(304,1),(318,1),(391,1)}
       358:{2,4,6}:{(303,1),(305,1),(319,1),(392,1),(408,1)}
       359:{2,3,6,7}:{(304,1),(305,1),(307,1),(320,1),(393,1),(407,1)}
       360:{2,3,5,6}:{(305,1),(306,1),(321,1),(394,1),(408,1),(410,1),(478,1),(489,1),(528,1)}
       361:{2,4,5,7}:{(306,1),(312,1),(322,1),(395,1),(410,1),(411,1),(414,1)}
       362:{2,5,6,7}:{(307,1),(308,1),(313,1),(412,1),(538,1)}
       363:{1,4,6,7}:{(308,1),(309,1),(315,1),(412,1)}
       364:{3,4,6,7}:{(309,1),(317,1),(325,1)}
       365:{2,3,5,7}:{(310,1),(311,1),(313,1),(326,1),(400,1),(414,1),(417,1)}
       366:{2,4,6}:{(311,1),(312,1),(327,1),(401,1),(414,1),(415,1)}
       367:{3,4,5}:{(312,1),(415,1)}
       368:{2,4,5,7}:{(313,1),(314,1),(315,1),(412,1),(414,1),(417,1)}
       369:{3,5,6}:{(314,1),(415,1),(417,1)}
       370:{1,3,4,5,7}:{(315,1),(316,1),(317,1),(333,1),(413,1),(417,1),(419,1),(425,1),(481,1),(496,1),(527,1)}
       371:{2,4,5,6}:{(316,1),(334,1),(418,1),(419,1),(420,1),(426,1),(482,1),(497,1),(528,1)}
       372:{1,3,4,6,7}:{(318,1),(319,1),(320,1),(407,1),(421,1),(423,1),(490,1)}
       373:{1,3,5,6}:{(319,1),(408,1),(421,1),(422,1),(489,1)}
       374:{1,3,5,6,7}:{(320,1),(321,1),(323,1),(326,1),(409,1),(421,1),(423,1),(531,1),(551,1)}
       375:{1,4,6}:{(321,1),(322,1),(410,1)}
       376:{1,3,5,6,7}:{(324,1),(325,1),(333,1),(413,1),(424,1),(527,1)}
       377:{1,4,7}:{(326,1),(327,1),(414,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(415,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(417,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(538,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(357,1)}
       392:{1,4,6}:{(342,1),(344,1),(358,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(359,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(360,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(438,1),(444,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(353,1),(362,1),(437,1),(440,1),(464,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(355,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(356,1),(442,1),(443,1),(512,1),(550,1)}
       400:{1,3,5,7}:{(350,1),(351,1),(353,1),(365,1),(444,1)}
       401:{1,4,6}:{(351,1),(352,1),(366,1),(444,1)}
       402:{1,3,4,5}:{(352,1),(355,1),(367,1),(445,1),(446,1)}
       403:{1,2,4,5,7}:{(353,1),(354,1),(368,1),(440,1),(444,1),(447,1),(462,1),(503,1),(512,1),(523,1),(524,1),(543,1)}
       404:{1,3,5,6}:{(354,1),(355,1),(369,1),(441,1),(445,1),(447,1),(448,1),(525,1)}
       405:{2,3,5}:{(355,1),(356,1),(446,1),(449,1)}
       406:{1,3,4,6}:{(356,1),(443,1),(449,1),(450,1),(509,1),(513,1),(548,1),(549,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(359,1),(372,1),(435,1),(451,1)}
       408:{2,5,6}:{(358,1),(373,1),(436,1),(451,1)}
       409:{2,3,5,6,7}:{(359,1),(360,1),(362,1),(365,1),(374,1),(437,1),(451,1),(453,1),(455,1),(508,1),(518,1),(543,1)}
       410:{2,4,6}:{(360,1),(361,1),(375,1),(438,1),(454,1)}
       411:{3,4,5,7}:{(361,1),(367,1),(454,1),(457,1),(518,1)}
       412:{2,4,6,7}:{(362,1),(363,1),(368,1),(455,1)}
       413:{1,3,4,6,7}:{(363,1),(364,1),(370,1),(376,1),(455,1),(456,1),(519,1)}
       414:{2,4,7}:{(365,1),(366,1),(377,1),(444,1),(457,1)}
       415:{3,4,6}:{(366,1),(367,1),(369,1),(457,1)}
       416:{2,3,4,5}:{(367,1),(379,1),(446,1),(458,1),(459,1),(522,1)}
       417:{3,5,7}:{(368,1),(369,1),(455,1),(457,1)}
       418:{2,3,5,6}:{(369,1),(371,1),(458,1),(460,1),(461,1)}
       419:{2,4,5,7}:{(370,1),(371,1),(384,1),(456,1),(460,1),(462,1),(465,1),(512,1),(523,1),(543,1)}
       420:{1,4,5,6}:{(371,1),(385,1),(461,1),(462,1),(466,1),(513,1),(544,1)}
       421:{1,3,5,7}:{(372,1),(373,1),(451,1),(463,1),(518,1)}
       422:{1,4,5,6}:{(373,1),(375,1),(452,1),(463,1),(544,1)}
       423:{1,4,6,7}:{(374,1),(375,1),(377,1),(453,1),(463,1)}
       424:{2,5,6,7}:{(376,1),(384,1),(456,1),(464,1),(543,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(457,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(407,1),(472,1)}
       436:{1,5,6}:{(392,1),(408,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(400,1),(409,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(410,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(402,1),(411,1),(475,1),(476,1),(481,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(403,1),(412,1),(474,1),(477,1),(492,1),(529,1),(538,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(405,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(406,1),(479,1),(480,1),(533,1),(552,1)}
       444:{1,4,7}:{(400,1),(401,1),(414,1)}
       445:{1,3,4,6}:{(401,1),(402,1),(404,1),(415,1),(481,1),(482,1)}
       446:{2,4,5}:{(402,1),(405,1),(482,1),(483,1)}
       447:{1,3,5,7}:{(403,1),(404,1),(417,1),(477,1),(481,1),(484,1),(542,1)}
       448:{2,3,5,6}:{(404,1),(405,1),(478,1),(482,1),(484,1),(485,1),(497,1),(528,1),(540,1)}
       449:{1,3,5}:{(405,1),(406,1),(483,1),(486,1)}
       450:{1,2,4,6}:{(406,1),(480,1),(486,1),(487,1),(532,1),(537,1)}
       451:{2,5,7}:{(407,1),(408,1),(421,1),(472,1)}
       452:{2,4,5,6}:{(408,1),(410,1),(422,1),(473,1),(488,1),(489,1),(528,1)}
       453:{2,4,6,7}:{(409,1),(410,1),(414,1),(423,1),(474,1),(488,1),(490,1)}
       454:{3,4,6}:{(410,1),(411,1),(489,1)}
       455:{3,6,7}:{(412,1),(417,1)}
       456:{2,4,6,7}:{(413,1),(419,1),(424,1),(491,1),(492,1),(538,1)}
       457:{3,4,7}:{(414,1),(415,1),(417,1)}
       458:{2,3,4,6}:{(415,1),(416,1),(418,1),(426,1),(482,1),(493,1),(494,1),(540,1)}
       459:{1,3,4,5}:{(416,1),(427,1),(483,1),(494,1),(495,1),(500,1),(535,1)}
       460:{2,3,5,7}:{(417,1),(418,1),(419,1),(491,1),(493,1),(496,1)}
       461:{1,3,5,6}:{(418,1),(420,1),(494,1),(496,1),(497,1)}
       462:{1,4,5,7}:{(419,1),(420,1),(432,1),(492,1),(496,1),(498,1),(533,1),(551,1)}
       463:{1,4,5,7}:{(421,1),(422,1),(423,1),(488,1),(551,1)}
       464:{1,5,6,7}:{(424,1),(432,1),(492,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(538,1)}
       472:{1,5,7}:{(435,1),(436,1),(451,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(452,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(444,1),(453,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(454,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(446,1),(506,1),(507,1),(512,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(447,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(449,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(450,1),(510,1),(511,1)}
       481:{1,3,4,7}:{(444,1),(445,1),(447,1),(457,1),(512,1)}
       482:{2,4,6}:{(445,1),(446,1),(448,1),(512,1),(513,1)}
       483:{1,4,5}:{(446,1),(449,1),(513,1)}
       484:{2,3,5,7}:{(447,1),(448,1),(508,1),(512,1),(515,1),(523,1),(543,1),(550,1)}
       485:{1,3,5,6}:{(448,1),(449,1),(509,1),(513,1),(515,1),(516,1),(544,1),(548,1)}
       486:{1,2,5}:{(449,1),(450,1)}
       487:{1,2,3,6}:{(450,1),(511,1),(517,1),(548,1)}
       488:{2,4,5,7}:{(451,1),(452,1),(453,1),(463,1),(503,1),(518,1),(543,1)}
       489:{3,5,6}:{(452,1),(454,1),(518,1)}
       490:{3,4,6,7}:{(453,1),(454,1),(455,1),(457,1),(518,1)}
       491:{2,3,6,7}:{(455,1),(456,1),(460,1),(519,1)}
       492:{1,4,6,7}:{(456,1),(462,1),(464,1),(519,1)}
       493:{2,3,4,7}:{(457,1),(458,1),(460,1),(465,1),(512,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(458,1),(459,1),(461,1),(466,1),(513,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(459,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(460,1),(461,1),(462,1),(519,1),(520,1),(523,1)}
       497:{2,5,6}:{(461,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(488,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(489,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(481,1),(490,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(483,1),(530,1),(533,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(484,1),(529,1),(531,1),(538,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(486,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(487,1),(552,1)}
       512:{2,4,7}:{(481,1),(482,1),(484,1),(533,1)}
       513:{1,4,6}:{(482,1),(483,1),(485,1),(533,1)}
       514:{1,2,4,5}:{(483,1),(486,1),(495,1),(534,1),(535,1),(537,1)}
       515:{1,3,5,7}:{(484,1),(485,1),(531,1),(533,1),(536,1),(551,1),(552,1)}
       516:{1,2,5,6}:{(485,1),(486,1),(497,1),(532,1),(534,1),(536,1)}
       517:{1,2,3,5}:{(486,1),(487,1),(535,1),(537,1)}
       518:{3,5,7}:{(488,1),(489,1),(490,1)}
       519:{1,3,6,7}:{(491,1),(492,1),(496,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(533,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(535,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(538,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(518,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(512,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(515,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{1,4,7}:{(512,1),(513,1),(515,1)}
       534:{1,2,4,6}:{(513,1),(514,1),(516,1),(521,1),(547,1),(548,1)}
       535:{1,3,5}:{(514,1),(522,1),(548,1),(549,1)}
       536:{1,2,5,7}:{(515,1),(516,1),(523,1),(546,1),(547,1)}
       537:{1,2,4}:{(517,1),(549,1)}
       538:{2,6,7}:{(519,1),(523,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(533,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(536,1),(538,1)}
       547:{1,2,4,7}:{(533,1),(534,1),(536,1),(539,1),(552,1)}
       548:{1,3,6}:{(534,1),(535,1),(540,1),(552,1)}
       549:{1,3,4}:{(535,1),(537,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1684 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1685 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1686 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1687 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1688 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(12,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(43,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(28,1),(63,1),(64,1),(92,1),(137,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(23,1),(25,1),(138,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(63,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(32,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(76,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(41,1),(46,1),(89,1),(154,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(40,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(41,1),(43,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(42,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(89,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(50,1),(52,1),(56,1)}
        33:{1,2,5}:{(18,1),(51,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(58,1),(61,1),(109,1),(140,1)}
        37:{2,3,5}:{(21,1),(24,1),(51,1),(57,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(24,1),(57,1),(63,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(64,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(28,1),(59,1),(63,1),(64,1),(65,1),(113,1),(137,1),(164,1)}
        43:{1,2,6}:{(25,1),(64,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(65,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(63,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(74,1),(79,1),(121,1),(124,1)}
        51:{1,3,5}:{(31,1),(33,1),(37,1),(73,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(74,1),(76,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(75,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(37,1),(40,1),(73,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(41,1),(74,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(42,1),(75,1),(82,1),(83,1),(84,1),(85,1),(119,1),(127,1),(131,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(41,1),(81,1),(88,1),(89,1),(135,1)}
        63:{1,4,6}:{(40,1),(42,1),(82,1),(89,1)}
        64:{1,3,6}:{(41,1),(43,1),(83,1),(88,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(46,1),(84,1),(89,1),(90,1),(135,1),(154,1),(171,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(89,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(99,1),(139,1)}
        73:{1,4,5}:{(51,1),(57,1),(99,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(52,1),(58,1),(98,1),(100,1)}
        75:{1,3,5,6}:{(51,1),(53,1),(55,1),(59,1),(96,1),(99,1),(100,1),(101,1),(103,1),(144,1)}
        76:{1,2,6}:{(52,1),(100,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(101,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1),(109,1),(151,1)}
        82:{2,4,6}:{(57,1),(59,1),(63,1),(99,1),(106,1),(109,1)}
        83:{2,3,6}:{(58,1),(64,1),(100,1),(108,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(65,1),(101,1),(109,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(63,1),(67,1),(107,1),(112,1),(113,1),(164,1)}
        88:{1,4,6}:{(62,1),(64,1),(108,1),(113,1)}
        89:{1,4,7}:{(63,1),(65,1),(109,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(114,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(124,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(74,1),(81,1),(123,1),(124,1),(159,1)}
        99:{1,4,6}:{(73,1),(75,1),(82,1),(124,1)}
       100:{1,3,6}:{(74,1),(76,1),(83,1),(123,1)}
       101:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(121,1),(124,1),(125,1),(126,1),(159,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(127,1),(129,1)}
       107:{2,4,5,6}:{(82,1),(85,1),(87,1),(122,1),(127,1),(130,1),(131,1),(155,1),(161,1)}
       108:{2,4,6}:{(81,1),(83,1),(88,1),(123,1),(128,1),(131,1)}
       109:{2,4,7}:{(82,1),(84,1),(89,1),(124,1),(129,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(132,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(89,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,5,6}:{(88,1),(131,1),(135,1)}
       114:{1,4,6,7}:{(88,1),(89,1),(90,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(99,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(99,1),(103,1),(107,1),(141,1),(143,1),(144,1)}
       123:{1,4,6}:{(98,1),(100,1),(108,1),(144,1)}
       124:{1,4,7}:{(99,1),(101,1),(109,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(145,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(106,1),(107,1),(147,1)}
       128:{3,4,6}:{(105,1),(108,1),(148,1)}
       129:{3,4,7}:{(106,1),(109,1),(147,1)}
       130:{2,4,5,7}:{(107,1),(109,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,5,6}:{(108,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,4,6,7}:{(108,1),(109,1),(110,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(124,1),(129,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(124,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(131,1),(159,1)}
       145:{1,4,6,7}:{(123,1),(124,1),(125,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(129,1),(130,1),(160,1)}
       148:{3,5,6}:{(128,1),(131,1),(161,1),(162,1)}
       149:{3,4,6,7}:{(128,1),(129,1),(132,1),(160,1),(162,1),(173,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(162,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{4,5,6}:{(148,1),(170,1)}
       162:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(162,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1689 :   0:{1,4,5,6,7}:{(1,1),(2,1),(35,1),(39,1),(107,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(18,1),(21,1),(64,1),(129,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(5,1),(6,1),(143,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(15,1),(39,1),(158,1)}
         4:{3,5,6,7}:{(1,1),(9,1),(93,1),(170,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(39,1),(47,1),(93,1)}
         6:{2,5,6,7}:{(2,1),(14,1),(15,1),(185,1)}
         7:{1,3,4,5,6}:{(11,1),(13,1),(16,1),(42,1),(51,1),(96,1),(111,1),(186,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(17,1),(18,1),(199,1)}
         9:{3,4,6,7}:{(4,1),(20,1),(21,1)}
        10:{2,3,5,6,7}:{(4,1),(6,1),(18,1),(21,1),(22,1),(27,1),(55,1),(61,1)}
        11:{3,4,5,6}:{(20,1),(23,1),(214,1),(281,1)}
        12:{2,3,4,5,7}:{(24,1),(25,1),(32,1),(60,1),(61,1),(71,1),(114,1),(135,1),(210,1),(223,1),(267,1),(276,1),(282,1),(308,1)}
        13:{1,3,4,5,7}:{(5,1),(7,1),(20,1),(26,1),(62,1),(72,1),(125,1),(140,1),(143,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(26,1),(27,1),(28,1),(74,1)}
        15:{1,5,6,7}:{(6,1),(28,1),(225,1)}
        16:{2,4,5,6}:{(7,1),(26,1),(30,1),(31,1),(78,1),(148,1),(226,1)}
        17:{1,3,4,6,7}:{(8,1),(9,1),(33,1),(34,1),(39,1),(83,1),(93,1)}
        18:{2,5,6,7}:{(8,1),(34,1),(35,1),(238,1)}
        19:{1,3,4,5,6}:{(11,1),(33,1),(36,1),(42,1),(87,1),(96,1),(162,1),(239,1)}
        20:{3,4,5,7}:{(9,1),(11,1),(37,1),(170,1),(296,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(37,1),(39,1)}
        22:{1,3,5,6,7}:{(10,1),(15,1),(35,1),(39,1),(40,1),(47,1),(83,1),(90,1),(93,1)}
        23:{2,4,5,6}:{(11,1),(37,1),(41,1),(42,1),(253,1)}
        24:{2,3,4,6}:{(12,1),(41,1),(43,1),(175,1),(249,1),(253,1),(260,1),(292,1),(313,1)}
        25:{1,3,4,5,7}:{(12,1),(43,1),(44,1),(53,1),(89,1),(90,1),(99,1),(101,1),(152,1),(167,1),(174,1),(247,1),(254,1),(259,1),(291,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(16,1),(45,1),(46,1),(102,1),(182,1),(185,1)}
        27:{2,3,6,7}:{(14,1),(45,1),(47,1),(93,1)}
        28:{1,4,6,7}:{(14,1),(15,1),(46,1),(47,1)}
        29:{1,2,5,6,7}:{(15,1),(40,1),(48,1),(49,1),(155,1),(165,1),(185,1),(261,1),(299,1)}
        30:{2,3,5,6}:{(16,1),(45,1),(50,1),(51,1),(96,1)}
        31:{1,4,5,6}:{(16,1),(46,1),(51,1),(189,1),(261,1)}
        32:{2,3,4,5}:{(50,1),(53,1),(174,1),(190,1),(191,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(20,1),(54,1),(62,1),(115,1),(125,1),(196,1),(199,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(54,1),(55,1),(56,1),(117,1)}
        35:{1,5,6,7}:{(18,1),(56,1),(269,1)}
        36:{2,4,5,6}:{(19,1),(54,1),(58,1),(59,1),(121,1),(204,1),(270,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(23,1),(61,1),(62,1),(276,1)}
        38:{2,3,4,6,7}:{(21,1),(24,1),(27,1),(55,1),(61,1),(63,1),(71,1),(114,1),(128,1),(142,1),(198,1),(211,1),(276,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(62,1),(64,1)}
        40:{2,5,6,7}:{(22,1),(64,1),(74,1),(117,1),(124,1)}
        41:{2,3,5,6}:{(23,1),(24,1),(61,1),(66,1),(214,1),(226,1),(270,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(66,1),(67,1),(216,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(66,1),(68,1),(132,1),(133,1),(216,1),(286,1),(306,1)}
        44:{2,4,5,7}:{(25,1),(68,1),(70,1),(80,1),(123,1),(124,1),(137,1),(193,1),(209,1),(217,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(30,1),(71,1),(72,1),(125,1)}
        46:{1,4,5,7}:{(26,1),(28,1),(31,1),(72,1),(222,1),(225,1)}
        47:{1,3,6,7}:{(27,1),(28,1),(72,1),(74,1)}
        48:{1,2,4,6,7}:{(28,1),(29,1),(64,1),(73,1),(74,1),(75,1),(76,1),(142,1),(286,1),(309,1),(310,1)}
        49:{1,3,5,6,7}:{(29,1),(65,1),(75,1),(76,1),(143,1),(197,1),(208,1),(269,1),(280,1)}
        50:{2,3,4,6}:{(30,1),(32,1),(71,1),(77,1),(132,1),(148,1),(227,1)}
        51:{1,3,5,6}:{(30,1),(31,1),(72,1),(77,1),(78,1)}
        52:{1,2,4,5,6}:{(31,1),(67,1),(73,1),(78,1),(79,1),(130,1),(144,1),(145,1),(148,1),(216,1),(226,1),(230,1),(282,1),(286,1),(287,1),(309,1),(310,1)}
        53:{1,3,4,5}:{(32,1),(77,1),(80,1),(150,1),(230,1)}
        54:{2,4,5,7}:{(33,1),(34,1),(36,1),(81,1),(82,1),(153,1),(235,1),(238,1)}
        55:{2,3,6,7}:{(34,1),(81,1),(83,1),(93,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(82,1),(83,1)}
        57:{1,2,5,6,7}:{(35,1),(40,1),(84,1),(85,1),(104,1),(165,1),(238,1),(293,1),(299,1)}
        58:{2,3,5,6}:{(36,1),(81,1),(86,1),(87,1),(96,1)}
        59:{1,4,5,6}:{(36,1),(82,1),(87,1),(242,1),(293,1)}
        60:{2,3,4,5}:{(86,1),(89,1),(174,1),(243,1),(244,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(41,1),(90,1),(170,1),(185,1),(238,1)}
        62:{1,4,5,7}:{(37,1),(39,1),(42,1),(90,1),(91,1),(247,1)}
        63:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(47,1),(83,1),(90,1),(92,1),(93,1),(101,1),(152,1),(167,1),(168,1),(184,1),(237,1),(247,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(91,1),(93,1)}
        65:{2,3,5,6,7}:{(40,1),(49,1),(85,1),(93,1),(94,1),(105,1),(156,1),(166,1),(170,1),(185,1),(238,1),(246,1),(252,1),(299,1),(313,1)}
        66:{1,3,5,6}:{(41,1),(42,1),(43,1),(90,1),(95,1),(96,1),(261,1),(293,1)}
        67:{2,4,5,6}:{(42,1),(91,1),(95,1),(96,1),(173,1)}
        68:{2,4,6}:{(43,1),(44,1),(95,1),(98,1)}
        69:{1,2,4,5,7}:{(44,1),(97,1),(99,1),(112,1),(163,1),(165,1),(178,1),(179,1),(232,1),(247,1),(254,1),(255,1),(259,1),(291,1),(297,1),(301,1),(311,1)}
        70:{2,3,5,7}:{(44,1),(98,1),(99,1),(100,1),(113,1),(164,1),(177,1),(180,1),(233,1)}
        71:{2,3,4,7}:{(45,1),(50,1),(101,1),(167,1),(182,1),(256,1)}
        72:{1,3,5,7}:{(45,1),(46,1),(47,1),(51,1),(101,1),(102,1)}
        73:{1,2,4,5,7}:{(46,1),(48,1),(52,1),(91,1),(102,1),(103,1),(107,1),(165,1),(179,1),(182,1),(185,1),(247,1),(259,1),(297,1),(301,1)}
        74:{2,6,7}:{(47,1),(102,1)}
        75:{1,3,6,7}:{(48,1),(93,1),(103,1),(105,1),(302,1),(313,1)}
        76:{1,4,6,7}:{(49,1),(94,1),(107,1),(247,1),(298,1)}
        77:{1,3,4,6}:{(50,1),(51,1),(53,1),(101,1),(108,1),(187,1),(189,1)}
        78:{2,5,6}:{(51,1),(102,1),(108,1)}
        79:{1,3,5,6}:{(52,1),(96,1),(103,1),(110,1),(111,1),(187,1),(263,1),(300,1),(302,1),(313,1)}
        80:{2,4,5}:{(53,1),(108,1),(113,1)}
        81:{2,3,5,7}:{(54,1),(55,1),(58,1),(114,1),(115,1),(125,1)}
        82:{1,4,5,7}:{(54,1),(56,1),(59,1),(115,1),(266,1),(269,1)}
        83:{1,3,6,7}:{(55,1),(56,1),(115,1),(117,1)}
        84:{1,2,4,6,7}:{(56,1),(57,1),(64,1),(116,1),(117,1),(118,1),(119,1),(198,1),(306,1),(309,1),(314,1)}
        85:{1,3,5,6,7}:{(57,1),(65,1),(118,1),(119,1),(141,1),(199,1),(208,1),(225,1),(280,1)}
        86:{2,3,4,6}:{(58,1),(60,1),(114,1),(120,1),(132,1),(204,1),(271,1)}
        87:{1,3,5,6}:{(58,1),(59,1),(115,1),(120,1),(121,1)}
        88:{1,2,4,5,6}:{(59,1),(67,1),(116,1),(121,1),(122,1),(130,1),(200,1),(201,1),(204,1),(216,1),(270,1),(274,1),(282,1),(306,1),(307,1),(309,1),(314,1)}
        89:{1,3,4,5}:{(60,1),(120,1),(123,1),(206,1),(274,1)}
        90:{1,3,5,7}:{(61,1),(62,1),(63,1),(66,1),(124,1),(125,1),(225,1),(269,1)}
        91:{2,4,5,7}:{(62,1),(64,1),(67,1),(124,1),(125,1),(209,1)}
        92:{2,4,6,7}:{(63,1),(68,1),(74,1),(117,1),(124,1),(127,1),(137,1),(193,1),(209,1)}
        93:{3,6,7}:{(64,1),(125,1)}
        94:{2,4,6,7}:{(65,1),(76,1),(119,1),(128,1),(129,1),(209,1),(276,1),(278,1),(309,1)}
        95:{2,5,6}:{(66,1),(68,1),(124,1)}
        96:{3,5,6}:{(67,1),(125,1),(132,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(130,1),(133,1),(216,1),(218,1),(286,1),(306,1),(309,1),(310,1),(314,1)}
        98:{2,3,6}:{(68,1),(70,1),(133,1)}
        99:{1,3,5,7}:{(69,1),(70,1),(133,1),(135,1),(136,1),(150,1),(206,1),(219,1),(220,1),(264,1),(308,1)}
       100:{2,3,4,7}:{(70,1),(134,1),(136,1),(151,1),(207,1),(209,1)}
       101:{1,3,4,7}:{(71,1),(72,1),(77,1),(137,1),(220,1),(222,1)}
       102:{2,5,7}:{(72,1),(74,1),(78,1),(137,1)}
       103:{1,3,5,7}:{(73,1),(75,1),(79,1),(125,1),(139,1),(140,1),(220,1),(308,1)}
       104:{1,2,6,7}:{(74,1),(138,1),(141,1),(310,1)}
       105:{2,3,6,7}:{(74,1),(75,1),(139,1),(141,1),(142,1),(285,1),(310,1)}
       106:{1,3,4,6,7}:{(75,1),(76,1),(128,1),(140,1),(142,1),(143,1),(224,1)}
       107:{1,4,5,7}:{(76,1),(129,1),(143,1),(144,1),(269,1)}
       108:{2,4,6}:{(77,1),(78,1),(80,1),(137,1),(146,1)}
       109:{1,2,5,6}:{(78,1),(138,1),(145,1),(147,1),(287,1),(310,1)}
       110:{2,3,5,6}:{(78,1),(79,1),(139,1),(146,1),(147,1),(148,1),(226,1),(227,1),(229,1),(285,1),(287,1),(310,1)}
       111:{1,3,4,6}:{(79,1),(132,1),(140,1),(148,1),(149,1),(216,1),(281,1)}
       112:{1,2,4,5}:{(80,1),(145,1),(150,1),(230,1),(231,1),(287,1)}
       113:{2,3,5}:{(80,1),(146,1),(150,1),(151,1)}
       114:{2,3,4,7}:{(81,1),(86,1),(152,1),(167,1),(235,1),(288,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(152,1),(153,1)}
       116:{1,2,4,5,7}:{(82,1),(84,1),(88,1),(91,1),(153,1),(154,1),(158,1),(165,1),(232,1),(235,1),(238,1),(247,1),(291,1),(297,1),(311,1)}
       117:{2,6,7}:{(83,1),(153,1)}
       118:{1,3,6,7}:{(84,1),(93,1),(154,1),(156,1),(312,1),(313,1)}
       119:{1,4,6,7}:{(85,1),(94,1),(158,1),(247,1),(298,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(89,1),(152,1),(159,1),(240,1),(242,1)}
       121:{2,5,6}:{(87,1),(153,1),(159,1)}
       122:{1,3,5,6}:{(88,1),(96,1),(154,1),(161,1),(162,1),(240,1),(295,1),(300,1),(312,1),(313,1)}
       123:{2,4,5}:{(89,1),(159,1),(164,1)}
       124:{2,5,7}:{(90,1),(92,1),(95,1)}
       125:{3,5,7}:{(91,1),(93,1),(96,1),(167,1)}
       126:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(155,1),(165,1),(168,1),(179,1),(184,1),(232,1),(237,1),(247,1),(250,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(98,1),(166,1),(168,1),(180,1),(233,1)}
       128:{3,4,6,7}:{(93,1),(94,1),(167,1),(170,1),(249,1),(296,1),(313,1)}
       129:{2,4,5,7}:{(94,1),(107,1),(158,1),(170,1),(171,1),(185,1),(238,1)}
       130:{1,2,5,6}:{(95,1),(97,1),(165,1),(172,1),(255,1),(261,1),(293,1),(299,1)}
       131:{2,3,5,6}:{(95,1),(96,1),(98,1),(166,1),(172,1),(173,1),(177,1)}
       132:{3,4,6}:{(96,1),(167,1),(173,1),(174,1)}
       133:{1,3,6}:{(97,1),(98,1),(99,1),(175,1),(313,1)}
       134:{2,3,4,6}:{(98,1),(100,1),(173,1),(176,1),(177,1)}
       135:{2,3,5,7}:{(99,1),(175,1),(178,1),(191,1),(244,1),(255,1),(256,1),(288,1),(301,1),(311,1)}
       136:{1,3,4,7}:{(99,1),(100,1),(176,1),(178,1),(192,1),(245,1),(247,1),(296,1)}
       137:{2,4,7}:{(101,1),(102,1),(108,1),(180,1)}
       138:{1,2,5,7}:{(102,1),(104,1),(109,1),(179,1),(181,1),(301,1)}
       139:{2,3,5,7}:{(102,1),(103,1),(105,1),(110,1),(180,1),(181,1),(182,1),(185,1),(256,1),(301,1)}
       140:{1,3,4,7}:{(103,1),(111,1),(167,1),(182,1),(247,1),(296,1)}
       141:{1,3,6,7}:{(104,1),(105,1),(181,1),(184,1),(302,1)}
       142:{2,4,6,7}:{(105,1),(106,1),(182,1),(184,1),(185,1),(260,1)}
       143:{1,3,5,7}:{(106,1),(107,1),(170,1),(185,1),(186,1)}
       144:{1,4,5,6}:{(107,1),(171,1),(186,1),(293,1),(298,1)}
       145:{1,2,4,6}:{(108,1),(109,1),(112,1),(179,1),(187,1),(189,1),(262,1)}
       146:{2,3,6}:{(108,1),(113,1),(180,1),(187,1)}
       147:{1,3,5,6}:{(109,1),(110,1),(181,1),(187,1),(189,1),(261,1),(263,1),(302,1)}
       148:{2,4,6}:{(110,1),(111,1),(182,1),(189,1),(190,1)}
       149:{1,3,4,5}:{(111,1),(174,1),(190,1),(254,1),(263,1),(300,1)}
       150:{1,3,5}:{(112,1),(113,1),(187,1),(191,1),(192,1)}
       151:{2,3,4}:{(113,1),(192,1)}
       152:{1,3,4,7}:{(114,1),(115,1),(120,1),(193,1),(264,1),(266,1)}
       153:{2,5,7}:{(115,1),(117,1),(121,1),(193,1)}
       154:{1,3,5,7}:{(116,1),(118,1),(122,1),(125,1),(195,1),(196,1),(264,1),(308,1)}
       155:{1,2,6,7}:{(117,1),(194,1),(197,1),(314,1)}
       156:{2,3,6,7}:{(117,1),(118,1),(195,1),(197,1),(198,1),(305,1),(314,1)}
       157:{1,3,4,6,7}:{(118,1),(119,1),(128,1),(196,1),(198,1),(199,1),(268,1)}
       158:{1,4,5,7}:{(119,1),(129,1),(199,1),(200,1),(225,1)}
       159:{2,4,6}:{(120,1),(121,1),(123,1),(193,1),(202,1)}
       160:{1,2,5,6}:{(121,1),(194,1),(201,1),(203,1),(307,1),(314,1)}
       161:{2,3,5,6}:{(121,1),(122,1),(195,1),(202,1),(203,1),(204,1),(270,1),(271,1),(273,1),(305,1),(307,1),(314,1)}
       162:{1,3,4,6}:{(122,1),(132,1),(196,1),(204,1),(205,1),(216,1),(281,1)}
       163:{1,2,4,5}:{(123,1),(201,1),(206,1),(274,1),(275,1),(307,1)}
       164:{2,3,5}:{(123,1),(202,1),(206,1),(207,1)}
       165:{1,2,5,7}:{(124,1),(126,1),(130,1),(208,1),(225,1),(269,1),(279,1)}
       166:{2,3,5,7}:{(124,1),(125,1),(127,1),(131,1),(208,1),(209,1)}
       167:{3,4,7}:{(125,1),(132,1),(209,1)}
       168:{1,3,6,7}:{(126,1),(127,1),(133,1),(208,1),(211,1),(220,1),(264,1)}
       169:{2,3,4,6,7}:{(127,1),(128,1),(134,1),(142,1),(198,1),(209,1),(212,1),(213,1),(221,1),(265,1),(278,1),(285,1),(305,1)}
       170:{3,5,7}:{(128,1),(129,1),(214,1)}
       171:{2,4,5,6}:{(129,1),(144,1),(200,1),(214,1),(226,1),(270,1),(278,1),(309,1)}
       172:{1,3,5,6}:{(130,1),(131,1),(133,1),(208,1),(215,1),(216,1),(219,1)}
       173:{2,4,6}:{(131,1),(132,1),(209,1),(216,1),(217,1)}
       174:{3,4,5}:{(132,1),(217,1)}
       175:{2,3,6}:{(133,1),(135,1),(218,1),(310,1),(314,1)}
       176:{1,3,4,6}:{(133,1),(134,1),(136,1),(216,1),(218,1),(219,1),(281,1)}
       177:{2,3,5}:{(134,1),(217,1),(219,1)}
       178:{2,4,7}:{(135,1),(136,1),(218,1),(231,1),(275,1)}
       179:{1,2,4,7}:{(137,1),(138,1),(145,1),(220,1),(222,1),(283,1)}
       180:{2,3,7}:{(137,1),(146,1),(220,1)}
       181:{1,3,5,7}:{(138,1),(139,1),(141,1),(147,1),(220,1),(222,1),(225,1)}
       182:{2,4,7}:{(139,1),(140,1),(148,1),(222,1)}
       183:{1,3,4,5,7}:{(140,1),(143,1),(149,1),(210,1),(223,1),(224,1),(277,1),(284,1),(308,1)}
       184:{1,4,6,7}:{(141,1),(142,1),(222,1),(225,1),(286,1)}
       185:{2,5,7}:{(142,1),(143,1),(225,1),(226,1)}
       186:{1,3,5,6}:{(143,1),(144,1),(214,1),(224,1),(226,1)}
       187:{1,3,6}:{(145,1),(146,1),(150,1),(220,1),(227,1)}
       188:{2,3,4,6}:{(146,1),(148,1),(151,1),(221,1),(228,1),(229,1),(281,1),(285,1)}
       189:{1,4,6}:{(147,1),(148,1),(222,1),(230,1)}
       190:{2,4,5}:{(148,1),(149,1),(229,1),(230,1),(287,1)}
       191:{2,3,5}:{(150,1),(227,1),(231,1),(287,1)}
       192:{1,3,4}:{(150,1),(151,1),(231,1)}
       193:{2,4,7}:{(152,1),(153,1),(159,1),(233,1)}
       194:{1,2,5,7}:{(153,1),(155,1),(160,1),(232,1),(234,1),(311,1)}
       195:{2,3,5,7}:{(153,1),(154,1),(156,1),(161,1),(233,1),(234,1),(235,1),(238,1),(288,1),(311,1)}
       196:{1,3,4,7}:{(154,1),(162,1),(167,1),(235,1),(247,1),(296,1)}
       197:{1,3,6,7}:{(155,1),(156,1),(234,1),(237,1),(312,1)}
       198:{2,4,6,7}:{(156,1),(157,1),(235,1),(237,1),(238,1),(292,1)}
       199:{1,3,5,7}:{(157,1),(158,1),(170,1),(238,1),(239,1)}
       200:{1,4,5,6}:{(158,1),(171,1),(239,1),(261,1),(298,1)}
       201:{1,2,4,6}:{(159,1),(160,1),(163,1),(232,1),(240,1),(242,1),(294,1)}
       202:{2,3,6}:{(159,1),(164,1),(233,1),(240,1)}
       203:{1,3,5,6}:{(160,1),(161,1),(234,1),(240,1),(242,1),(293,1),(295,1),(312,1)}
       204:{2,4,6}:{(161,1),(162,1),(235,1),(242,1),(243,1)}
       205:{1,3,4,5}:{(162,1),(174,1),(243,1),(254,1),(295,1),(300,1)}
       206:{1,3,5}:{(163,1),(164,1),(240,1),(244,1),(245,1)}
       207:{2,3,4}:{(164,1),(245,1)}
       208:{1,3,5,7}:{(165,1),(166,1),(168,1),(172,1),(246,1),(247,1)}
       209:{2,4,7}:{(166,1),(167,1),(173,1),(247,1)}
       210:{3,4,5,7}:{(167,1),(170,1),(174,1),(248,1),(249,1)}
       211:{2,3,6,7}:{(168,1),(175,1),(246,1),(250,1),(256,1),(288,1),(313,1)}
       212:{1,3,4,6,7}:{(168,1),(169,1),(176,1),(184,1),(237,1),(247,1),(250,1),(251,1),(257,1),(289,1),(296,1),(298,1),(302,1),(312,1),(313,1)}
       213:{2,3,5,7}:{(169,1),(170,1),(177,1),(185,1),(238,1),(248,1),(251,1),(252,1)}
       214:{3,5,6}:{(170,1),(171,1),(249,1),(313,1)}
       215:{2,3,5,6}:{(172,1),(175,1),(246,1),(253,1),(255,1),(299,1),(300,1),(313,1)}
       216:{1,4,6}:{(172,1),(173,1),(247,1),(253,1),(254,1)}
       217:{2,4,5}:{(173,1),(174,1),(177,1),(254,1)}
       218:{2,4,6}:{(175,1),(176,1),(178,1),(255,1)}
       219:{1,3,5}:{(176,1),(177,1),(254,1),(255,1),(300,1)}
       220:{1,3,7}:{(179,1),(180,1),(187,1),(256,1)}
       221:{2,3,4,7}:{(180,1),(182,1),(188,1),(257,1),(258,1),(296,1)}
       222:{1,4,7}:{(181,1),(182,1),(189,1)}
       223:{2,4,5,7}:{(182,1),(183,1),(185,1),(190,1),(258,1),(259,1),(260,1),(301,1)}
       224:{1,3,4,6}:{(183,1),(186,1),(249,1),(260,1),(298,1),(302,1),(313,1)}
       225:{1,5,7}:{(184,1),(185,1),(261,1)}
       226:{2,5,6}:{(185,1),(186,1),(260,1),(261,1)}
       227:{2,3,6}:{(187,1),(191,1),(256,1),(262,1)}
       228:{1,3,4,6}:{(187,1),(188,1),(189,1),(192,1),(257,1),(262,1),(263,1),(302,1)}
       229:{2,3,5}:{(188,1),(190,1),(263,1),(300,1)}
       230:{1,4,5}:{(189,1),(190,1),(263,1)}
       231:{2,4}:{(191,1),(192,1)}
       232:{1,2,4,7}:{(193,1),(194,1),(201,1),(264,1),(266,1),(303,1)}
       233:{2,3,7}:{(193,1),(202,1),(264,1)}
       234:{1,3,5,7}:{(194,1),(195,1),(197,1),(203,1),(264,1),(266,1),(269,1)}
       235:{2,4,7}:{(195,1),(196,1),(204,1),(266,1)}
       236:{1,3,4,5,7}:{(196,1),(199,1),(205,1),(210,1),(267,1),(268,1),(277,1),(304,1),(308,1)}
       237:{1,4,6,7}:{(197,1),(198,1),(266,1),(269,1),(306,1)}
       238:{2,5,7}:{(198,1),(199,1),(269,1),(270,1)}
       239:{1,3,5,6}:{(199,1),(200,1),(214,1),(268,1),(270,1)}
       240:{1,3,6}:{(201,1),(202,1),(206,1),(264,1),(271,1)}
       241:{2,3,4,6}:{(202,1),(204,1),(207,1),(265,1),(272,1),(273,1),(281,1),(305,1)}
       242:{1,4,6}:{(203,1),(204,1),(266,1),(274,1)}
       243:{2,4,5}:{(204,1),(205,1),(273,1),(274,1),(307,1)}
       244:{2,3,5}:{(206,1),(271,1),(275,1),(307,1)}
       245:{1,3,4}:{(206,1),(207,1),(275,1)}
       246:{2,3,5,7}:{(208,1),(211,1),(215,1),(276,1),(279,1),(308,1)}
       247:{1,4,7}:{(208,1),(209,1),(216,1),(276,1)}
       248:{2,4,5,7}:{(209,1),(210,1),(213,1),(217,1),(277,1),(278,1)}
       249:{3,4,6}:{(210,1),(214,1),(278,1)}
       250:{2,4,6,7}:{(211,1),(212,1),(218,1),(276,1),(279,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       251:{1,3,5,7}:{(212,1),(213,1),(219,1),(225,1),(269,1),(277,1),(279,1),(280,1),(308,1)}
       252:{2,3,5,6}:{(213,1),(214,1),(226,1),(270,1),(278,1),(280,1),(285,1),(305,1)}
       253:{2,4,6}:{(215,1),(216,1),(276,1),(281,1),(282,1)}
       254:{1,4,5}:{(216,1),(217,1),(219,1),(282,1)}
       255:{2,5}:{(218,1),(219,1)}
       256:{2,3,7}:{(220,1),(227,1),(283,1)}
       257:{1,3,4,7}:{(220,1),(221,1),(222,1),(228,1),(283,1),(284,1)}
       258:{2,3,5,7}:{(221,1),(223,1),(229,1),(284,1),(285,1),(308,1)}
       259:{1,4,5,7}:{(222,1),(223,1),(225,1),(230,1),(284,1),(286,1)}
       260:{2,4,6}:{(223,1),(224,1),(226,1),(285,1),(286,1),(310,1)}
       261:{1,5,6}:{(225,1),(226,1),(286,1)}
       262:{2,4,6}:{(227,1),(228,1),(231,1),(283,1),(287,1),(310,1)}
       263:{1,3,5}:{(228,1),(229,1),(230,1),(287,1)}
       264:{1,3,7}:{(232,1),(233,1),(240,1),(288,1)}
       265:{2,3,4,7}:{(233,1),(235,1),(241,1),(289,1),(290,1),(296,1)}
       266:{1,4,7}:{(234,1),(235,1),(242,1)}
       267:{2,4,5,7}:{(235,1),(236,1),(238,1),(243,1),(290,1),(291,1),(292,1),(311,1)}
       268:{1,3,4,6}:{(236,1),(239,1),(249,1),(292,1),(298,1),(312,1),(313,1)}
       269:{1,5,7}:{(237,1),(238,1),(293,1)}
       270:{2,5,6}:{(238,1),(239,1),(292,1),(293,1)}
       271:{2,3,6}:{(240,1),(244,1),(288,1),(294,1)}
       272:{1,3,4,6}:{(240,1),(241,1),(242,1),(245,1),(289,1),(294,1),(295,1),(312,1)}
       273:{2,3,5}:{(241,1),(243,1),(295,1),(300,1)}
       274:{1,4,5}:{(242,1),(243,1),(295,1)}
       275:{2,4}:{(244,1),(245,1)}
       276:{2,4,7}:{(246,1),(247,1),(253,1),(296,1)}
       277:{1,4,5,7}:{(247,1),(248,1),(251,1),(254,1),(297,1),(298,1)}
       278:{2,4,6}:{(248,1),(249,1),(252,1),(298,1)}
       279:{2,5,7}:{(250,1),(251,1),(255,1),(299,1)}
       280:{1,3,5,6}:{(251,1),(252,1),(261,1),(293,1),(298,1),(299,1),(302,1),(312,1),(313,1)}
       281:{3,4,6}:{(253,1),(296,1),(300,1),(313,1)}
       282:{2,4,5}:{(253,1),(254,1),(255,1),(300,1)}
       283:{2,4,7}:{(256,1),(257,1),(262,1),(301,1)}
       284:{1,3,5,7}:{(257,1),(258,1),(259,1),(263,1),(301,1),(302,1)}
       285:{2,3,6}:{(258,1),(260,1),(302,1),(313,1)}
       286:{1,4,6}:{(259,1),(260,1),(261,1),(302,1)}
       287:{2,5}:{(262,1),(263,1)}
       288:{2,3,7}:{(264,1),(271,1),(303,1)}
       289:{1,3,4,7}:{(264,1),(265,1),(266,1),(272,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(265,1),(267,1),(273,1),(304,1),(305,1),(308,1)}
       291:{1,4,5,7}:{(266,1),(267,1),(269,1),(274,1),(304,1),(306,1)}
       292:{2,4,6}:{(267,1),(268,1),(270,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(269,1),(270,1),(306,1)}
       294:{2,4,6}:{(271,1),(272,1),(275,1),(303,1),(307,1),(314,1)}
       295:{1,3,5}:{(272,1),(273,1),(274,1),(307,1)}
       296:{3,4,7}:{(276,1),(281,1),(308,1)}
       297:{2,4,5,7}:{(276,1),(277,1),(279,1),(282,1),(308,1),(309,1)}
       298:{1,4,6}:{(277,1),(278,1),(280,1),(309,1)}
       299:{2,5,6}:{(279,1),(280,1),(309,1),(310,1),(314,1)}
       300:{3,5}:{(281,1),(282,1)}
       301:{2,5,7}:{(283,1),(284,1),(287,1),(310,1)}
       302:{1,3,6}:{(284,1),(285,1),(286,1),(310,1)}
       303:{2,4,7}:{(288,1),(289,1),(294,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(295,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{2,5}:{(294,1),(295,1)}
       308:{3,5,7}:{(296,1),(297,1),(300,1),(313,1)}
       309:{2,4,6}:{(297,1),(298,1),(299,1),(313,1)}
       310:{2,6}:{(301,1),(302,1)}
       311:{2,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(308,1),(309,1)}
       314:{2,6}:{(311,1),(312,1)}

1690 :   0:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(20,1),(21,1),(63,1),(72,1),(75,1),(76,1),(123,1),(148,1),(204,1),(210,1),(214,1),(262,1),(275,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(34,1),(44,1),(85,1),(107,1),(161,1),(175,1),(176,1),(180,1),(181,1),(188,1),(232,1),(241,1),(245,1)}
         2:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(44,1),(165,1),(188,1),(235,1),(241,1),(245,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(36,1),(43,1),(48,1),(99,1),(182,1),(186,1),(292,1)}
         4:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(50,1),(51,1),(63,1),(73,1),(122,1),(125,1),(126,1),(153,1),(199,1),(210,1),(214,1),(224,1),(297,1)}
         5:{2,4,5,7}:{(1,1),(15,1),(16,1),(17,1),(21,1),(51,1),(59,1),(63,1),(75,1),(125,1),(134,1),(140,1),(210,1),(214,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(64,1),(142,1),(143,1),(146,1),(197,1),(216,1),(220,1),(258,1)}
         7:{1,2,4,6,7}:{(3,1),(19,1),(20,1),(58,1),(68,1),(72,1),(132,1),(210,1)}
         8:{1,3,4,7}:{(2,1),(21,1),(22,1),(72,1),(151,1),(262,1),(270,1)}
         9:{2,3,5,7}:{(2,1),(21,1),(23,1),(24,1),(63,1),(75,1),(137,1),(213,1)}
        10:{1,3,6}:{(2,1),(3,1),(24,1),(216,1),(220,1)}
        11:{1,2,5,6}:{(3,1),(20,1),(25,1),(66,1),(75,1),(141,1),(145,1),(204,1),(279,1)}
        12:{1,3,5,7}:{(4,1),(27,1),(28,1),(29,1),(85,1),(111,1),(191,1),(232,1),(241,1),(245,1)}
        13:{1,2,4,6}:{(4,1),(29,1),(30,1),(36,1),(84,1),(89,1),(99,1),(182,1),(230,1),(306,1)}
        14:{1,3,4,6,7}:{(6,1),(31,1),(32,1),(91,1),(92,1),(173,1),(175,1),(176,1),(241,1)}
        15:{2,3,5,7}:{(5,1),(33,1),(34,1),(35,1),(98,1),(188,1),(232,1),(241,1),(245,1),(250,1),(281,1)}
        16:{1,4,5,7}:{(5,1),(34,1),(36,1),(42,1),(83,1),(94,1),(113,1),(167,1),(175,1),(180,1)}
        17:{2,4,6}:{(5,1),(6,1),(35,1),(36,1),(37,1),(99,1)}
        18:{1,3,5,6}:{(6,1),(32,1),(37,1),(38,1),(44,1),(85,1),(103,1)}
        19:{1,3,6,7}:{(7,1),(10,1),(40,1),(41,1),(241,1),(292,1)}
        20:{1,2,5,7}:{(7,1),(11,1),(41,1),(94,1),(106,1),(174,1),(293,1)}
        21:{2,4,7}:{(8,1),(9,1),(42,1),(43,1),(244,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(43,1),(44,1),(48,1),(117,1)}
        23:{1,3,5,7}:{(9,1),(42,1),(45,1),(46,1),(111,1),(113,1),(191,1)}
        24:{2,3,6}:{(9,1),(10,1),(43,1),(46,1),(99,1)}
        25:{1,3,5,6}:{(10,1),(11,1),(41,1),(44,1),(47,1),(48,1),(235,1),(255,1),(256,1),(292,1)}
        26:{1,2,4,6,7}:{(13,1),(49,1),(50,1),(58,1),(118,1),(122,1),(132,1),(210,1)}
        27:{1,3,4,7}:{(12,1),(51,1),(52,1),(122,1),(202,1),(224,1),(270,1)}
        28:{2,3,5,7}:{(12,1),(51,1),(53,1),(54,1),(63,1),(125,1),(137,1),(213,1)}
        29:{1,3,6}:{(12,1),(13,1),(54,1),(216,1),(258,1)}
        30:{1,2,5,6}:{(13,1),(50,1),(55,1),(66,1),(125,1),(141,1),(153,1),(196,1),(301,1)}
        31:{2,4,6,7}:{(14,1),(17,1),(57,1),(58,1),(59,1),(132,1),(134,1),(210,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(59,1),(60,1),(136,1)}
        33:{2,3,4,7}:{(15,1),(21,1),(51,1),(61,1),(62,1),(134,1),(137,1),(151,1),(202,1),(223,1),(261,1),(268,1),(270,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(61,1),(63,1),(64,1),(139,1),(275,1),(297,1)}
        35:{2,3,6}:{(15,1),(17,1),(64,1),(216,1),(220,1),(258,1),(274,1),(296,1)}
        36:{1,4,6}:{(16,1),(17,1),(64,1),(66,1)}
        37:{2,5,6}:{(17,1),(18,1),(59,1),(66,1),(75,1),(125,1)}
        38:{1,4,5,6}:{(18,1),(60,1),(67,1),(76,1),(126,1),(142,1),(146,1),(197,1),(218,1)}
        39:{1,3,4,6,7}:{(19,1),(22,1),(68,1),(69,1),(72,1),(146,1),(151,1),(220,1)}
        40:{2,3,6,7}:{(19,1),(24,1),(68,1),(70,1),(71,1),(132,1),(220,1),(274,1)}
        41:{1,3,5,7}:{(19,1),(20,1),(25,1),(71,1),(72,1),(275,1),(276,1)}
        42:{1,4,7}:{(21,1),(23,1),(74,1),(224,1)}
        43:{2,4,6}:{(21,1),(22,1),(24,1),(74,1),(75,1)}
        44:{1,3,5}:{(22,1),(75,1),(76,1),(155,1)}
        45:{1,2,5,7}:{(23,1),(63,1),(73,1),(77,1),(153,1),(297,1)}
        46:{1,3,6}:{(23,1),(24,1),(74,1),(77,1)}
        47:{2,3,5,6}:{(24,1),(25,1),(71,1),(75,1),(78,1),(79,1),(141,1),(145,1),(155,1),(213,1),(216,1),(220,1),(226,1),(227,1),(274,1)}
        48:{1,4,6}:{(25,1),(72,1),(76,1),(79,1),(262,1)}
        49:{1,3,6,7}:{(26,1),(29,1),(81,1),(82,1),(241,1),(306,1)}
        50:{1,2,5,7}:{(26,1),(30,1),(82,1),(94,1),(160,1),(174,1),(307,1)}
        51:{2,4,7}:{(27,1),(28,1),(83,1),(84,1),(244,1)}
        52:{1,3,4,6}:{(27,1),(29,1),(84,1),(85,1),(89,1),(171,1)}
        53:{1,3,5,7}:{(28,1),(83,1),(86,1),(87,1),(165,1),(167,1),(235,1)}
        54:{2,3,6}:{(28,1),(29,1),(84,1),(87,1),(99,1)}
        55:{1,3,5,6}:{(29,1),(30,1),(82,1),(85,1),(88,1),(89,1),(191,1),(286,1),(287,1),(306,1)}
        56:{1,3,5,6,7}:{(32,1),(90,1),(91,1),(104,1),(158,1),(173,1)}
        57:{2,3,6,7}:{(31,1),(35,1),(92,1),(93,1),(173,1),(240,1),(241,1)}
        58:{1,4,6,7}:{(31,1),(36,1),(92,1),(94,1),(175,1)}
        59:{2,5,7}:{(31,1),(32,1),(37,1),(94,1)}
        60:{1,4,5,7}:{(32,1),(38,1),(91,1),(95,1),(175,1),(243,1)}
        61:{1,3,4,7}:{(33,1),(34,1),(42,1),(83,1),(96,1),(97,1),(111,1),(165,1),(175,1),(241,1),(252,1),(283,1),(288,1)}
        62:{2,3,4,6}:{(33,1),(35,1),(43,1),(84,1),(97,1),(98,1),(101,1),(117,1),(171,1),(178,1),(195,1),(239,1),(244,1),(247,1),(289,1)}
        63:{2,5,7}:{(34,1),(96,1),(99,1),(179,1)}
        64:{1,3,6}:{(34,1),(35,1),(36,1),(99,1),(292,1),(306,1)}
        65:{2,3,5,6}:{(35,1),(37,1),(93,1),(98,1),(100,1),(101,1),(103,1),(184,1),(247,1)}
        66:{1,5,6}:{(36,1),(37,1),(94,1),(113,1),(167,1)}
        67:{2,4,5,6}:{(37,1),(38,1),(95,1),(101,1),(102,1),(103,1),(114,1),(168,1),(182,1),(184,1),(186,1),(230,1)}
        68:{2,4,6,7}:{(39,1),(40,1),(43,1),(105,1),(106,1),(110,1),(186,1)}
        69:{1,3,5,7}:{(39,1),(44,1),(104,1),(106,1),(107,1),(188,1)}
        70:{1,3,6,7}:{(40,1),(46,1),(105,1),(108,1),(109,1),(249,1)}
        71:{2,3,5,7}:{(40,1),(41,1),(47,1),(106,1),(109,1),(110,1),(174,1),(188,1),(241,1),(250,1),(251,1)}
        72:{1,4,7}:{(41,1),(48,1),(110,1)}
        73:{1,2,4,7}:{(42,1),(45,1),(96,1),(111,1),(112,1),(283,1),(307,1)}
        74:{1,4,6}:{(42,1),(43,1),(46,1),(113,1)}
        75:{2,5}:{(43,1),(44,1),(113,1)}
        76:{1,4,5}:{(44,1),(48,1),(114,1),(255,1)}
        77:{1,2,6}:{(45,1),(46,1),(99,1),(306,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(109,1),(113,1),(115,1),(116,1),(185,1),(191,1),(193,1),(194,1),(249,1)}
        79:{2,4,6}:{(47,1),(48,1),(110,1),(114,1),(116,1),(117,1),(244,1)}
        80:{1,3,4,6,7}:{(49,1),(52,1),(118,1),(119,1),(122,1),(197,1),(202,1),(258,1)}
        81:{2,3,6,7}:{(49,1),(54,1),(118,1),(120,1),(121,1),(132,1),(258,1),(296,1)}
        82:{1,3,5,7}:{(49,1),(50,1),(55,1),(121,1),(122,1),(297,1),(298,1)}
        83:{1,4,7}:{(51,1),(53,1),(124,1),(262,1)}
        84:{2,4,6}:{(51,1),(52,1),(54,1),(124,1),(125,1)}
        85:{1,3,5}:{(52,1),(125,1),(126,1),(206,1)}
        86:{1,2,5,7}:{(53,1),(63,1),(123,1),(127,1),(204,1),(275,1)}
        87:{1,3,6}:{(53,1),(54,1),(124,1),(127,1)}
        88:{2,3,5,6}:{(54,1),(55,1),(121,1),(125,1),(128,1),(129,1),(141,1),(196,1),(206,1),(213,1),(216,1),(258,1),(264,1),(265,1),(296,1)}
        89:{1,4,6}:{(55,1),(122,1),(126,1),(129,1),(224,1)}
        90:{2,5,6,7}:{(56,1),(59,1),(130,1),(131,1),(145,1),(196,1)}
        91:{1,4,6,7}:{(56,1),(60,1),(131,1),(146,1),(197,1),(267,1)}
        92:{1,3,6,7}:{(57,1),(58,1),(64,1),(132,1),(133,1),(267,1)}
        93:{2,3,5,7}:{(57,1),(59,1),(65,1),(133,1),(134,1),(136,1),(212,1),(268,1)}
        94:{1,5,7}:{(58,1),(59,1),(66,1)}
        95:{2,4,5,7}:{(59,1),(60,1),(67,1),(131,1),(134,1),(135,1),(136,1),(210,1),(212,1)}
        96:{2,4,7}:{(61,1),(63,1),(137,1),(138,1),(302,1)}
        97:{1,3,4,6}:{(61,1),(62,1),(64,1),(74,1),(124,1),(138,1),(139,1),(142,1),(152,1),(203,1),(216,1),(224,1),(228,1),(262,1),(266,1),(270,1),(273,1),(303,1)}
        98:{2,3,5}:{(62,1),(75,1),(125,1),(139,1),(140,1),(155,1),(206,1),(226,1),(264,1)}
        99:{2,6}:{(63,1),(64,1)}
       100:{1,3,5,6}:{(64,1),(65,1),(66,1),(133,1),(139,1),(141,1),(142,1),(216,1),(218,1),(273,1)}
       101:{2,4,6}:{(65,1),(134,1),(140,1),(142,1),(143,1)}
       102:{1,4,5,6}:{(66,1),(67,1),(135,1),(142,1),(144,1),(154,1),(205,1),(219,1),(257,1)}
       103:{3,5,6}:{(67,1),(136,1),(143,1),(155,1),(206,1),(216,1),(220,1),(258,1)}
       104:{1,3,5,6}:{(69,1),(145,1),(146,1),(220,1)}
       105:{1,4,6,7}:{(68,1),(70,1),(74,1),(147,1),(150,1),(219,1)}
       106:{2,5,7}:{(68,1),(69,1),(75,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(69,1),(72,1),(76,1),(146,1),(148,1),(275,1)}
       108:{1,2,6,7}:{(70,1),(77,1),(132,1),(149,1),(267,1),(274,1)}
       109:{1,3,5,7}:{(70,1),(71,1),(78,1),(147,1),(149,1),(150,1),(222,1)}
       110:{2,4,7}:{(71,1),(72,1),(79,1),(150,1),(151,1)}
       111:{1,3,7}:{(73,1),(137,1),(152,1)}
       112:{1,2,4,6}:{(73,1),(74,1),(77,1),(138,1),(152,1),(153,1),(224,1),(266,1),(301,1),(312,1)}
       113:{1,5}:{(74,1),(75,1)}
       114:{2,4,5}:{(75,1),(76,1),(79,1),(154,1),(155,1),(226,1)}
       115:{1,2,5,6}:{(77,1),(78,1),(141,1),(149,1),(153,1),(156,1),(218,1),(226,1),(274,1)}
       116:{1,4,6}:{(78,1),(79,1),(150,1),(154,1),(224,1)}
       117:{3,4,6}:{(79,1),(151,1),(155,1),(216,1),(220,1),(270,1)}
       118:{2,4,6,7}:{(80,1),(81,1),(84,1),(159,1),(160,1),(164,1),(230,1)}
       119:{1,3,5,7}:{(80,1),(85,1),(158,1),(160,1),(161,1),(232,1)}
       120:{1,3,6,7}:{(81,1),(87,1),(159,1),(162,1),(163,1),(280,1)}
       121:{2,3,5,7}:{(81,1),(82,1),(88,1),(160,1),(163,1),(164,1),(174,1),(232,1),(241,1),(281,1),(282,1)}
       122:{1,4,7}:{(82,1),(89,1),(164,1)}
       123:{1,2,4,7}:{(83,1),(86,1),(96,1),(165,1),(166,1),(252,1),(293,1)}
       124:{1,4,6}:{(83,1),(84,1),(87,1),(167,1)}
       125:{2,5}:{(84,1),(85,1),(167,1)}
       126:{1,4,5}:{(85,1),(89,1),(168,1),(286,1)}
       127:{1,2,6}:{(86,1),(87,1),(99,1),(292,1)}
       128:{1,3,5,6}:{(87,1),(88,1),(163,1),(167,1),(169,1),(170,1),(229,1),(235,1),(237,1),(238,1),(280,1)}
       129:{2,4,6}:{(88,1),(89,1),(164,1),(168,1),(170,1),(171,1),(244,1)}
       130:{1,5,6,7}:{(90,1),(94,1),(172,1),(185,1),(229,1)}
       131:{2,4,6,7}:{(90,1),(91,1),(95,1),(172,1),(173,1),(186,1),(230,1),(240,1)}
       132:{2,6,7}:{(92,1),(99,1),(174,1)}
       133:{1,3,5,7}:{(92,1),(93,1),(94,1),(100,1),(174,1),(175,1),(241,1),(243,1),(288,1)}
       134:{2,4,7}:{(93,1),(101,1),(175,1),(176,1)}
       135:{1,4,5,7}:{(94,1),(95,1),(102,1),(172,1),(175,1),(177,1)}
       136:{3,5,7}:{(95,1),(103,1),(173,1),(176,1),(241,1)}
       137:{2,3,7}:{(96,1),(111,1),(165,1),(178,1),(241,1)}
       138:{2,4,6}:{(96,1),(97,1),(99,1),(178,1),(179,1),(244,1),(291,1),(310,1)}
       139:{1,3,5}:{(97,1),(98,1),(113,1),(167,1),(179,1),(180,1),(245,1),(255,1),(286,1)}
       140:{2,4,5}:{(98,1),(101,1),(180,1),(181,1),(244,1)}
       141:{2,5,6}:{(99,1),(100,1),(174,1),(179,1),(182,1),(291,1)}
       142:{1,4,6}:{(100,1),(101,1),(175,1),(180,1),(182,1)}
       143:{3,4,6}:{(101,1),(103,1),(176,1),(181,1)}
       144:{1,3,5,6}:{(102,1),(103,1),(177,1),(183,1),(184,1),(193,1),(237,1),(249,1),(280,1)}
       145:{2,5,6}:{(104,1),(106,1),(185,1),(186,1)}
       146:{1,4,6}:{(104,1),(107,1),(186,1),(292,1)}
       147:{1,5,7}:{(105,1),(106,1),(113,1),(185,1)}
       148:{2,4,5,7}:{(106,1),(107,1),(110,1),(114,1),(186,1),(187,1),(188,1),(250,1)}
       149:{1,2,5,7}:{(108,1),(109,1),(115,1),(174,1),(189,1),(243,1),(250,1)}
       150:{1,4,7}:{(109,1),(110,1),(116,1)}
       151:{3,4,7}:{(110,1),(117,1),(188,1),(241,1)}
       152:{1,3,6}:{(111,1),(112,1),(178,1),(191,1),(314,1)}
       153:{1,2,5}:{(112,1),(113,1),(179,1),(191,1),(286,1)}
       154:{1,4,5}:{(113,1),(114,1),(116,1),(193,1)}
       155:{3,5}:{(114,1),(117,1)}
       156:{1,2,4,6}:{(115,1),(116,1),(182,1),(189,1),(192,1),(194,1),(195,1),(248,1),(291,1)}
       157:{1,3,4,6}:{(116,1),(117,1),(190,1),(193,1),(194,1),(195,1),(249,1),(253,1)}
       158:{1,3,5,6}:{(119,1),(196,1),(197,1),(258,1)}
       159:{1,4,6,7}:{(118,1),(120,1),(124,1),(198,1),(201,1),(257,1)}
       160:{2,5,7}:{(118,1),(119,1),(125,1),(196,1),(198,1)}
       161:{1,4,5,7}:{(119,1),(122,1),(126,1),(197,1),(199,1),(297,1)}
       162:{1,2,6,7}:{(120,1),(127,1),(132,1),(200,1),(267,1),(296,1)}
       163:{1,3,5,7}:{(120,1),(121,1),(128,1),(198,1),(200,1),(201,1),(260,1)}
       164:{2,4,7}:{(121,1),(122,1),(129,1),(201,1),(202,1)}
       165:{1,3,7}:{(123,1),(137,1),(203,1)}
       166:{1,2,4,6}:{(123,1),(124,1),(127,1),(138,1),(203,1),(204,1),(228,1),(262,1),(279,1),(305,1)}
       167:{1,5}:{(124,1),(125,1)}
       168:{2,4,5}:{(125,1),(126,1),(129,1),(205,1),(206,1),(264,1)}
       169:{1,2,5,6}:{(127,1),(128,1),(141,1),(200,1),(204,1),(207,1),(218,1),(264,1),(296,1)}
       170:{1,4,6}:{(128,1),(129,1),(201,1),(205,1),(262,1)}
       171:{3,4,6}:{(129,1),(202,1),(206,1),(216,1),(258,1),(270,1)}
       172:{1,4,6,7}:{(130,1),(131,1),(135,1),(209,1),(219,1),(257,1)}
       173:{3,6,7}:{(131,1),(136,1),(220,1),(258,1)}
       174:{2,5,7}:{(132,1),(133,1),(141,1),(210,1),(302,1)}
       175:{1,4,7}:{(133,1),(134,1),(142,1),(210,1)}
       176:{3,4,7}:{(134,1),(136,1),(143,1)}
       177:{1,3,5,7}:{(135,1),(136,1),(144,1),(209,1),(211,1),(212,1)}
       178:{2,3,6}:{(137,1),(138,1),(152,1),(203,1),(213,1),(216,1),(313,1)}
       179:{2,5}:{(138,1),(139,1)}
       180:{1,4,5}:{(139,1),(140,1),(142,1),(214,1),(224,1),(262,1)}
       181:{3,4,5}:{(140,1),(143,1),(155,1),(206,1),(270,1)}
       182:{2,4,6}:{(141,1),(142,1),(210,1),(214,1),(216,1)}
       183:{1,3,4,6}:{(142,1),(143,1),(144,1),(211,1),(215,1),(216,1),(217,1),(273,1)}
       184:{2,5,6}:{(144,1),(212,1),(217,1),(218,1),(226,1),(264,1),(274,1),(296,1)}
       185:{1,5,6}:{(145,1),(147,1),(219,1)}
       186:{2,4,6}:{(145,1),(146,1),(148,1),(219,1),(220,1),(274,1)}
       187:{1,4,5,7}:{(147,1),(148,1),(150,1),(154,1),(219,1),(221,1)}
       188:{3,5,7}:{(148,1),(151,1),(155,1),(220,1)}
       189:{1,2,4,7}:{(149,1),(150,1),(156,1),(210,1),(222,1),(223,1),(269,1),(302,1)}
       190:{1,3,4,7}:{(150,1),(151,1),(157,1),(221,1),(222,1),(223,1)}
       191:{1,3,5}:{(152,1),(153,1),(213,1),(224,1)}
       192:{1,2,4,5}:{(153,1),(154,1),(156,1),(214,1),(224,1),(225,1),(226,1),(272,1),(277,1),(304,1),(312,1)}
       193:{1,3,5}:{(154,1),(155,1),(157,1),(226,1)}
       194:{1,3,6}:{(156,1),(216,1),(222,1),(225,1),(227,1)}
       195:{2,4,6}:{(157,1),(223,1),(226,1),(227,1),(228,1),(274,1),(277,1)}
       196:{2,5,6}:{(158,1),(160,1),(229,1),(230,1)}
       197:{1,4,6}:{(158,1),(161,1),(230,1),(306,1)}
       198:{1,5,7}:{(159,1),(160,1),(167,1),(229,1)}
       199:{2,4,5,7}:{(160,1),(161,1),(164,1),(168,1),(230,1),(231,1),(232,1),(281,1)}
       200:{1,2,5,7}:{(162,1),(163,1),(169,1),(174,1),(233,1),(243,1),(281,1)}
       201:{1,4,7}:{(163,1),(164,1),(170,1)}
       202:{3,4,7}:{(164,1),(171,1),(232,1),(241,1)}
       203:{1,3,6}:{(165,1),(166,1),(178,1),(235,1),(311,1)}
       204:{1,2,5}:{(166,1),(167,1),(179,1),(235,1),(255,1)}
       205:{1,4,5}:{(167,1),(168,1),(170,1),(237,1)}
       206:{3,5}:{(168,1),(171,1)}
       207:{1,2,4,6}:{(169,1),(170,1),(182,1),(233,1),(236,1),(238,1),(239,1),(248,1),(291,1)}
       208:{1,3,4,6}:{(170,1),(171,1),(234,1),(237,1),(238,1),(239,1),(280,1),(284,1)}
       209:{1,3,6,7}:{(172,1),(173,1),(177,1),(240,1),(249,1),(280,1)}
       210:{2,4,7}:{(174,1),(175,1),(182,1),(241,1)}
       211:{1,3,4,7}:{(175,1),(176,1),(177,1),(183,1),(241,1),(242,1),(288,1)}
       212:{2,5,7}:{(177,1),(184,1),(240,1),(242,1),(243,1)}
       213:{2,3,5}:{(178,1),(179,1),(191,1),(235,1),(244,1),(245,1)}
       214:{2,4,5}:{(179,1),(180,1),(182,1),(244,1),(245,1)}
       215:{1,3,4,5}:{(180,1),(181,1),(183,1),(193,1),(237,1),(245,1),(246,1),(253,1),(284,1),(290,1)}
       216:{3,6}:{(182,1),(241,1),(245,1)}
       217:{2,4,6}:{(183,1),(184,1),(242,1),(246,1),(247,1),(248,1),(291,1)}
       218:{1,5,6}:{(184,1),(243,1),(248,1),(255,1),(286,1),(292,1),(306,1)}
       219:{1,4,6}:{(185,1),(186,1),(187,1),(249,1)}
       220:{3,6}:{(186,1),(188,1)}
       221:{1,3,5,7}:{(187,1),(188,1),(190,1),(193,1),(249,1),(250,1)}
       222:{1,3,7}:{(189,1),(194,1),(241,1),(251,1)}
       223:{2,4,7}:{(190,1),(195,1),(250,1),(251,1),(252,1)}
       224:{1,4}:{(191,1),(244,1)}
       225:{1,3,5}:{(192,1),(194,1),(245,1),(253,1),(254,1),(314,1)}
       226:{2,5}:{(193,1),(195,1),(255,1)}
       227:{2,3,6}:{(194,1),(195,1),(251,1),(254,1),(256,1),(291,1)}
       228:{1,4,6}:{(195,1),(252,1),(255,1),(256,1),(292,1),(294,1)}
       229:{1,5,6}:{(196,1),(198,1),(257,1)}
       230:{2,4,6}:{(196,1),(197,1),(199,1),(257,1),(258,1),(296,1)}
       231:{1,4,5,7}:{(198,1),(199,1),(201,1),(205,1),(257,1),(259,1)}
       232:{3,5,7}:{(199,1),(202,1),(206,1),(258,1)}
       233:{1,2,4,7}:{(200,1),(201,1),(207,1),(210,1),(260,1),(261,1),(269,1),(302,1)}
       234:{1,3,4,7}:{(201,1),(202,1),(208,1),(259,1),(260,1),(261,1)}
       235:{1,3,5}:{(203,1),(204,1),(213,1),(262,1)}
       236:{1,2,4,5}:{(204,1),(205,1),(207,1),(214,1),(262,1),(263,1),(264,1),(272,1),(299,1),(304,1),(305,1)}
       237:{1,3,5}:{(205,1),(206,1),(208,1),(264,1)}
       238:{1,3,6}:{(207,1),(216,1),(260,1),(263,1),(265,1)}
       239:{2,4,6}:{(208,1),(261,1),(264,1),(265,1),(266,1),(296,1),(299,1)}
       240:{2,6,7}:{(209,1),(212,1),(267,1),(274,1),(296,1)}
       241:{3,7}:{(210,1),(216,1)}
       242:{2,4,7}:{(211,1),(212,1),(217,1),(268,1),(269,1),(302,1)}
       243:{1,5,7}:{(212,1),(218,1),(267,1),(269,1)}
       244:{2,4}:{(213,1),(224,1),(262,1),(270,1)}
       245:{3,5}:{(214,1),(216,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(226,1),(264,1),(271,1),(272,1),(277,1),(299,1),(304,1)}
       247:{2,3,6}:{(216,1),(217,1),(268,1),(271,1),(273,1)}
       248:{1,4,6}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       249:{1,3,6}:{(219,1),(220,1),(221,1),(274,1)}
       250:{2,5,7}:{(221,1),(223,1),(226,1),(274,1),(275,1)}
       251:{2,3,7}:{(222,1),(223,1),(227,1),(276,1),(302,1)}
       252:{1,4,7}:{(223,1),(228,1),(275,1),(276,1)}
       253:{1,3,4}:{(224,1),(225,1),(270,1),(277,1)}
       254:{2,3,5}:{(225,1),(226,1),(227,1),(277,1),(278,1),(304,1),(313,1)}
       255:{1,5}:{(226,1),(228,1)}
       256:{1,3,6}:{(227,1),(228,1),(276,1),(278,1),(279,1)}
       257:{1,4,6}:{(229,1),(230,1),(231,1),(280,1)}
       258:{3,6}:{(230,1),(232,1)}
       259:{1,3,5,7}:{(231,1),(232,1),(234,1),(237,1),(280,1),(281,1)}
       260:{1,3,7}:{(233,1),(238,1),(241,1),(282,1)}
       261:{2,4,7}:{(234,1),(239,1),(281,1),(282,1),(283,1)}
       262:{1,4}:{(235,1),(244,1)}
       263:{1,3,5}:{(236,1),(238,1),(245,1),(284,1),(285,1),(311,1)}
       264:{2,5}:{(237,1),(239,1),(286,1)}
       265:{2,3,6}:{(238,1),(239,1),(282,1),(285,1),(287,1),(291,1)}
       266:{1,4,6}:{(239,1),(283,1),(286,1),(287,1),(306,1),(308,1)}
       267:{1,6,7}:{(240,1),(243,1),(292,1),(306,1)}
       268:{2,3,7}:{(241,1),(242,1),(247,1),(288,1)}
       269:{1,4,7}:{(242,1),(243,1),(248,1),(288,1)}
       270:{3,4}:{(244,1),(245,1)}
       271:{2,3,5}:{(245,1),(246,1),(247,1),(289,1),(290,1)}
       272:{1,4,5}:{(246,1),(248,1),(255,1),(286,1),(290,1),(294,1),(308,1)}
       273:{1,3,6}:{(247,1),(248,1),(288,1),(290,1),(291,1)}
       274:{2,6}:{(249,1),(250,1),(292,1)}
       275:{1,5,7}:{(250,1),(252,1),(255,1),(292,1)}
       276:{1,3,7}:{(251,1),(252,1),(256,1),(293,1)}
       277:{2,4}:{(253,1),(254,1),(294,1)}
       278:{1,3,5}:{(254,1),(255,1),(256,1),(294,1),(295,1),(311,1)}
       279:{1,2,6}:{(256,1),(291,1),(293,1),(295,1)}
       280:{1,3,6}:{(257,1),(258,1),(259,1),(296,1)}
       281:{2,5,7}:{(259,1),(261,1),(264,1),(296,1),(297,1)}
       282:{2,3,7}:{(260,1),(261,1),(265,1),(298,1),(302,1)}
       283:{1,4,7}:{(261,1),(266,1),(297,1),(298,1)}
       284:{1,3,4}:{(262,1),(263,1),(270,1),(299,1)}
       285:{2,3,5}:{(263,1),(264,1),(265,1),(299,1),(300,1),(304,1),(313,1)}
       286:{1,5}:{(264,1),(266,1)}
       287:{1,3,6}:{(265,1),(266,1),(298,1),(300,1),(301,1)}
       288:{1,3,7}:{(268,1),(269,1),(273,1),(302,1)}
       289:{2,3,4}:{(270,1),(271,1),(277,1),(299,1),(303,1),(313,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(303,1),(304,1)}
       291:{2,6}:{(273,1),(302,1),(304,1)}
       292:{1,6}:{(274,1),(275,1)}
       293:{1,2,7}:{(276,1),(279,1),(302,1)}
       294:{1,4}:{(277,1),(278,1)}
       295:{1,2,5}:{(278,1),(279,1),(304,1),(305,1)}
       296:{2,6}:{(280,1),(281,1),(306,1)}
       297:{1,5,7}:{(281,1),(283,1),(286,1),(306,1)}
       298:{1,3,7}:{(282,1),(283,1),(287,1),(307,1)}
       299:{2,4}:{(284,1),(285,1),(308,1)}
       300:{1,3,5}:{(285,1),(286,1),(287,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(287,1),(291,1),(307,1),(309,1)}
       302:{2,7}:{(288,1),(291,1)}
       303:{1,3,4}:{(289,1),(290,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(290,1),(291,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1691 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1692 :   0:{1,2,3,6,7}:{(1,1),(2,1),(43,1),(95,1),(149,1),(240,1),(330,1),(446,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(26,1),(111,1),(121,1),(192,1),(292,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(128,1),(379,1),(403,1),(413,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(77,1),(98,1),(146,1),(174,1),(259,1),(497,1)}
         4:{1,3,4,6,7}:{(1,1),(10,1),(11,1),(15,1),(37,1),(43,1),(79,1),(147,1),(228,1),(330,1),(331,1),(427,1)}
         5:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(40,1),(43,1),(92,1),(240,1),(329,1),(342,1),(354,1),(362,1),(364,1)}
         6:{1,2,5,7}:{(1,1),(11,1),(13,1),(160,1),(342,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(15,1),(167,1),(427,1)}
         8:{1,2,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(51,1),(69,1),(133,1),(180,1),(222,1)}
         9:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(52,1),(187,1),(308,1),(465,1),(475,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(28,1),(53,1),(55,1),(67,1),(109,1),(114,1),(121,1),(180,1),(299,1),(300,1),(397,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(20,1),(21,1),(22,1),(277,1),(382,1)}
        12:{1,2,4,6}:{(5,1),(7,1),(23,1),(24,1),(126,1),(380,1),(412,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(26,1),(120,1),(192,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(27,1),(60,1)}
        15:{1,3,4,7}:{(7,1),(24,1),(27,1),(28,1),(413,1)}
        16:{1,3,4,6,7}:{(8,1),(10,1),(29,1),(33,1),(45,1),(71,1),(77,1),(96,1),(162,1),(259,1),(260,1),(359,1)}
        17:{1,2,3,5,6}:{(9,1),(30,1),(31,1),(74,1),(77,1),(143,1),(174,1),(258,1),(271,1),(422,1),(430,1),(432,1)}
        18:{1,2,5,7}:{(8,1),(29,1),(31,1),(226,1),(271,1)}
        19:{1,2,4,7}:{(9,1),(30,1),(33,1),(233,1),(359,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(152,1),(160,1),(226,1),(350,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(34,1),(37,1),(43,1),(147,1),(227,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(37,1),(427,1),(428,1)}
        23:{1,2,4,5}:{(12,1),(40,1),(90,1),(342,1),(428,1)}
        24:{1,3,4,6}:{(12,1),(15,1),(40,1),(41,1),(43,1),(364,1),(365,1)}
        25:{1,2,5,6,7}:{(13,1),(36,1),(42,1),(160,1),(239,1),(252,1),(328,1),(344,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(37,1),(43,1),(87,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(43,1),(44,1)}
        28:{2,3,4,7}:{(15,1),(41,1),(44,1),(45,1),(167,1),(366,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(20,1),(46,1),(47,1),(207,1),(311,1)}
        30:{1,2,4,6}:{(17,1),(19,1),(48,1),(49,1),(185,1),(309,1),(474,1)}
        31:{1,2,5,6}:{(18,1),(46,1),(51,1),(133,1),(179,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(47,1),(48,1),(51,1),(52,1),(102,1)}
        33:{1,3,4,7}:{(19,1),(49,1),(52,1),(53,1),(475,1)}
        34:{2,3,5,6}:{(20,1),(21,1),(46,1),(55,1),(67,1),(109,1),(113,1),(120,1),(179,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(397,1),(398,1)}
        36:{1,3,5,6,7}:{(21,1),(25,1),(54,1),(58,1),(66,1),(119,1),(191,1),(277,1),(379,1)}
        37:{1,4,6}:{(21,1),(22,1),(55,1)}
        38:{1,3,4,5,7}:{(22,1),(27,1),(56,1),(59,1),(60,1),(61,1),(119,1),(125,1)}
        39:{1,2,4,5,6}:{(23,1),(26,1),(57,1),(62,1),(63,1),(120,1),(126,1),(206,1),(278,1),(296,1),(305,1),(312,1),(380,1)}
        40:{1,3,5}:{(23,1),(24,1),(64,1)}
        41:{2,3,4,6}:{(24,1),(28,1),(64,1),(65,1),(67,1),(126,1),(315,1),(316,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(58,1),(62,1),(66,1),(121,1),(302,1),(393,1),(400,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(60,1),(64,1),(67,1),(68,1)}
        45:{1,3,4,7}:{(28,1),(65,1),(68,1),(69,1),(215,1),(317,1)}
        46:{1,3,5,6}:{(29,1),(31,1),(34,1),(71,1),(77,1),(96,1),(161,1)}
        47:{1,4,5,7}:{(29,1),(35,1),(71,1),(359,1),(360,1)}
        48:{1,2,4,5}:{(30,1),(74,1),(141,1),(271,1),(360,1)}
        49:{1,3,4,6}:{(30,1),(33,1),(74,1),(75,1),(77,1),(432,1),(433,1)}
        50:{1,2,5,6,7}:{(31,1),(70,1),(76,1),(173,1),(226,1),(257,1),(323,1),(344,1)}
        51:{1,2,4,6}:{(31,1),(32,1),(71,1),(77,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(74,1),(77,1),(78,1)}
        53:{2,3,4,7}:{(33,1),(75,1),(78,1),(79,1),(233,1),(434,1)}
        54:{2,3,5,6,7}:{(34,1),(36,1),(70,1),(81,1),(95,1),(146,1),(152,1),(160,1),(226,1),(344,1),(347,1),(440,1)}
        55:{2,4,6}:{(34,1),(35,1),(37,1),(71,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(152,1),(442,1),(443,1)}
        57:{1,4,5,6}:{(37,1),(80,1),(84,1),(85,1),(227,1)}
        58:{1,4,6,7}:{(36,1),(37,1),(81,1),(84,1),(427,1)}
        59:{1,3,4,6}:{(37,1),(38,1),(43,1),(82,1),(85,1),(87,1)}
        60:{2,4,5,7}:{(38,1),(44,1),(87,1),(88,1),(90,1),(160,1),(167,1)}
        61:{1,3,4,5}:{(40,1),(89,1),(90,1),(428,1),(443,1)}
        62:{1,2,4,5,7}:{(39,1),(42,1),(84,1),(91,1),(160,1),(167,1),(255,1),(328,1),(345,1),(355,1),(363,1),(427,1)}
        63:{1,3,5,6}:{(39,1),(40,1),(43,1),(89,1),(91,1),(92,1),(346,1),(364,1)}
        64:{2,3,5}:{(40,1),(41,1),(90,1),(93,1)}
        65:{1,3,4,6}:{(41,1),(45,1),(93,1),(94,1),(96,1),(168,1),(266,1),(267,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(91,1),(95,1),(440,1)}
        67:{2,3,6}:{(43,1),(44,1),(87,1),(96,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(88,1),(93,1),(96,1),(97,1)}
        69:{1,2,4,7}:{(45,1),(94,1),(97,1),(98,1)}
        70:{1,3,5,6,7}:{(46,1),(50,1),(54,1),(100,1),(108,1),(132,1),(178,1),(207,1),(308,1)}
        71:{1,4,6}:{(46,1),(47,1),(55,1)}
        72:{1,3,4,5,7}:{(47,1),(52,1),(56,1),(101,1),(102,1),(103,1),(178,1),(184,1)}
        73:{1,2,4,5,6}:{(48,1),(51,1),(99,1),(104,1),(105,1),(179,1),(185,1),(208,1),(276,1),(296,1),(309,1),(376,1),(383,1)}
        74:{1,3,5}:{(48,1),(49,1),(106,1)}
        75:{2,3,4,6}:{(49,1),(53,1),(106,1),(107,1),(109,1),(185,1),(386,1),(387,1)}
        76:{1,2,4,6,7}:{(50,1),(51,1),(100,1),(104,1),(108,1),(180,1),(373,1),(393,1),(462,1)}
        77:{1,3,6}:{(51,1),(52,1),(109,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(102,1),(106,1),(109,1),(110,1)}
        79:{1,3,4,7}:{(53,1),(107,1),(110,1),(111,1),(285,1),(388,1)}
        80:{2,4,5,6}:{(55,1),(57,1),(99,1),(112,1),(113,1),(120,1),(179,1)}
        81:{2,4,6,7}:{(54,1),(55,1),(58,1),(100,1),(112,1),(114,1),(397,1)}
        82:{3,4,6}:{(55,1),(56,1),(113,1)}
        83:{2,3,4,5,7}:{(56,1),(60,1),(102,1),(115,1),(116,1),(124,1),(183,1),(197,1),(201,1),(212,1),(282,1),(397,1),(398,1),(483,1),(491,1),(529,1)}
        84:{1,4,5,7}:{(57,1),(58,1),(112,1),(119,1),(277,1)}
        85:{1,3,5,6}:{(57,1),(59,1),(113,1),(119,1),(120,1)}
        86:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(114,1),(119,1),(121,1),(125,1)}
        87:{2,4,6}:{(59,1),(60,1),(67,1),(120,1),(122,1)}
        88:{1,4,5,7}:{(60,1),(68,1),(122,1),(127,1),(207,1),(215,1)}
        89:{1,3,4,6}:{(61,1),(63,1),(125,1),(126,1),(380,1),(396,1)}
        90:{2,4,5}:{(61,1),(64,1),(126,1),(127,1)}
        91:{1,3,5,7}:{(62,1),(63,1),(66,1),(125,1),(128,1),(395,1),(413,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(67,1),(120,1),(126,1),(128,1),(129,1),(305,1),(315,1)}
        93:{1,3,5}:{(64,1),(65,1),(127,1),(130,1)}
        94:{1,2,4,6}:{(65,1),(69,1),(130,1),(131,1),(133,1),(220,1)}
        95:{2,3,6,7}:{(66,1),(67,1),(121,1),(128,1),(132,1),(400,1)}
        96:{1,3,6}:{(67,1),(68,1),(122,1),(133,1)}
        97:{1,2,5,7}:{(68,1),(69,1),(130,1),(133,1)}
        98:{1,2,3,7}:{(69,1),(131,1),(317,1)}
        99:{1,4,5,6}:{(71,1),(80,1),(135,1),(136,1),(161,1)}
       100:{1,4,6,7}:{(70,1),(71,1),(81,1),(135,1),(359,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(77,1),(82,1),(136,1),(138,1)}
       102:{2,4,5,7}:{(72,1),(78,1),(138,1),(139,1),(141,1),(226,1),(233,1)}
       103:{1,3,4,5}:{(74,1),(140,1),(141,1),(360,1),(443,1)}
       104:{1,2,4,5,7}:{(73,1),(76,1),(135,1),(142,1),(226,1),(233,1),(257,1),(326,1),(345,1),(359,1),(423,1),(431,1)}
       105:{1,3,5,6}:{(73,1),(74,1),(77,1),(140,1),(142,1),(143,1),(346,1),(432,1)}
       106:{2,3,5}:{(74,1),(75,1),(141,1),(144,1)}
       107:{1,3,4,6}:{(75,1),(79,1),(144,1),(145,1),(147,1),(234,1),(337,1),(338,1)}
       108:{1,3,6,7}:{(76,1),(77,1),(142,1),(146,1),(440,1)}
       109:{2,3,6}:{(77,1),(78,1),(138,1),(147,1)}
       110:{1,3,5,7}:{(78,1),(79,1),(139,1),(144,1),(147,1),(148,1)}
       111:{1,2,4,7}:{(79,1),(145,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(84,1),(135,1),(152,1),(160,1),(226,1)}
       113:{3,5,6}:{(80,1),(82,1),(152,1)}
       114:{3,4,6,7}:{(81,1),(82,1),(152,1),(440,1),(442,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(87,1),(138,1),(153,1),(155,1),(249,1),(348,1),(515,1),(520,1),(544,1)}
       116:{1,3,4,5,7}:{(83,1),(88,1),(139,1),(155,1),(156,1),(164,1),(166,1),(230,1),(232,1),(246,1),(262,1),(333,1),(359,1),(360,1),(427,1),(428,1),(442,1),(443,1),(519,1),(543,1)}
       117:{1,4,5,6,7}:{(84,1),(150,1),(157,1),(323,1),(343,1),(449,1)}
       118:{1,3,4,5,6}:{(85,1),(89,1),(151,1),(158,1),(159,1),(245,1),(254,1),(346,1),(358,1),(518,1)}
       119:{1,3,5,7}:{(84,1),(85,1),(86,1),(152,1),(160,1)}
       120:{2,5,6}:{(85,1),(87,1),(160,1),(161,1)}
       121:{2,4,6,7}:{(86,1),(87,1),(95,1),(160,1),(162,1),(167,1)}
       122:{1,4,6}:{(87,1),(88,1),(96,1),(161,1)}
       123:{1,2,4,5,7}:{(88,1),(97,1),(156,1),(163,1),(164,1),(169,1),(175,1),(257,1),(265,1),(271,1),(332,1),(359,1),(360,1),(431,1),(543,1),(545,1)}
       124:{2,3,4,5}:{(90,1),(165,1),(166,1),(264,1),(443,1),(453,1)}
       125:{1,3,4,7}:{(89,1),(91,1),(167,1),(427,1),(442,1)}
       126:{2,4,6}:{(89,1),(90,1),(92,1),(167,1),(168,1)}
       127:{1,4,5}:{(90,1),(93,1),(168,1)}
       128:{2,3,5,7}:{(91,1),(92,1),(95,1),(160,1),(167,1),(170,1),(355,1),(366,1)}
       129:{1,3,5,6}:{(92,1),(93,1),(96,1),(161,1),(168,1),(170,1),(171,1),(266,1)}
       130:{1,2,5}:{(93,1),(94,1)}
       131:{1,2,3,6}:{(94,1),(98,1),(172,1),(266,1)}
       132:{1,3,6,7}:{(95,1),(96,1),(162,1),(170,1),(173,1)}
       133:{1,2,6}:{(96,1),(97,1)}
       134:{1,2,3,5,7}:{(97,1),(98,1),(164,1),(172,1),(174,1),(175,1),(271,1),(430,1),(507,1),(545,1)}
       135:{1,4,5,7}:{(99,1),(100,1),(112,1),(178,1),(207,1)}
       136:{1,3,5,6}:{(99,1),(101,1),(113,1),(178,1),(179,1)}
       137:{1,3,4,6,7}:{(100,1),(101,1),(108,1),(114,1),(178,1),(180,1),(184,1)}
       138:{2,4,6}:{(101,1),(102,1),(109,1),(179,1),(181,1)}
       139:{1,4,5,7}:{(102,1),(110,1),(181,1),(186,1),(277,1),(285,1)}
       140:{1,3,4,6}:{(103,1),(105,1),(184,1),(185,1),(309,1),(396,1)}
       141:{2,4,5}:{(103,1),(106,1),(185,1),(186,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(108,1),(184,1),(187,1),(395,1),(475,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(109,1),(179,1),(185,1),(187,1),(188,1),(376,1),(386,1)}
       144:{1,3,5}:{(106,1),(107,1),(186,1),(189,1)}
       145:{1,2,4,6}:{(107,1),(111,1),(189,1),(190,1),(192,1),(290,1)}
       146:{2,3,6,7}:{(108,1),(109,1),(180,1),(187,1),(191,1),(462,1)}
       147:{1,3,6}:{(109,1),(110,1),(181,1),(192,1)}
       148:{1,2,5,7}:{(110,1),(111,1),(189,1),(192,1)}
       149:{1,2,3,7}:{(111,1),(190,1),(388,1)}
       150:{2,4,5,6,7}:{(112,1),(117,1),(176,1),(194,1),(203,1),(273,1),(293,1),(393,1),(482,1)}
       151:{3,4,5,6}:{(113,1),(195,1),(196,1),(396,1),(535,1)}
       152:{3,5,7}:{(112,1),(113,1),(114,1)}
       153:{2,3,5,6}:{(113,1),(115,1),(120,1),(179,1),(196,1),(197,1),(198,1),(535,1),(537,1),(549,1)}
       154:{2,3,4,6,7}:{(114,1),(115,1),(121,1),(180,1),(197,1),(199,1),(212,1),(282,1),(293,1),(299,1),(301,1),(372,1),(397,1),(481,1),(486,1),(524,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(122,1),(181,1),(198,1),(200,1),(210,1),(280,1),(309,1),(380,1),(396,1),(538,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(214,1),(284,1),(297,1),(314,1),(385,1),(397,1),(398,1)}
       157:{1,3,5,6,7}:{(117,1),(119,1),(194,1),(202,1),(203,1),(487,1)}
       158:{1,3,4,5,7}:{(118,1),(119,1),(125,1),(195,1),(202,1),(205,1),(295,1),(304,1),(395,1),(407,1),(487,1)}
       159:{2,4,5,6}:{(118,1),(120,1),(126,1),(204,1),(205,1),(206,1),(305,1),(406,1),(537,1)}
       160:{2,5,7}:{(119,1),(120,1),(121,1),(207,1)}
       161:{1,5,6}:{(120,1),(122,1),(207,1)}
       162:{1,4,6,7}:{(121,1),(122,1),(132,1),(207,1),(215,1)}
       163:{1,2,4,6}:{(122,1),(123,1),(133,1),(200,1),(208,1),(210,1),(309,1),(550,1),(551,1)}
       164:{1,3,5,7}:{(123,1),(201,1),(210,1),(211,1),(217,1),(311,1),(317,1),(384,1),(475,1)}
       165:{2,3,4,6}:{(124,1),(126,1),(204,1),(212,1),(213,1),(315,1),(396,1),(406,1)}
       166:{1,3,4,5}:{(124,1),(127,1),(213,1),(214,1),(217,1),(313,1),(490,1)}
       167:{2,4,7}:{(125,1),(126,1),(128,1),(215,1)}
       168:{1,4,6}:{(126,1),(127,1),(129,1),(215,1)}
       169:{1,2,4,5}:{(127,1),(130,1),(214,1),(216,1),(217,1),(220,1)}
       170:{1,3,5,7}:{(128,1),(129,1),(132,1),(207,1),(215,1),(218,1),(317,1)}
       171:{1,2,5,6}:{(129,1),(130,1),(133,1),(216,1),(218,1),(305,1)}
       172:{1,2,3,5}:{(130,1),(131,1),(217,1),(220,1)}
       173:{1,2,6,7}:{(132,1),(133,1),(218,1),(400,1)}
       174:{1,2,3,6}:{(133,1),(134,1),(210,1),(222,1),(551,1)}
       175:{1,2,4,7}:{(134,1),(211,1),(220,1),(222,1),(474,1)}
       176:{1,4,5,6,7}:{(135,1),(150,1),(223,1),(252,1),(343,1),(500,1)}
       177:{1,3,4,5,6}:{(136,1),(140,1),(151,1),(224,1),(225,1),(245,1),(325,1),(346,1),(426,1),(542,1)}
       178:{1,3,5,7}:{(135,1),(136,1),(137,1),(152,1),(226,1)}
       179:{2,5,6}:{(136,1),(138,1),(226,1),(227,1)}
       180:{2,4,6,7}:{(137,1),(138,1),(146,1),(226,1),(228,1),(233,1)}
       181:{1,4,6}:{(138,1),(139,1),(147,1),(227,1)}
       182:{1,2,4,5,7}:{(139,1),(148,1),(156,1),(229,1),(230,1),(235,1),(241,1),(261,1),(328,1),(336,1),(342,1),(363,1),(427,1),(428,1),(519,1),(521,1)}
       183:{2,3,4,5}:{(141,1),(231,1),(232,1),(335,1),(443,1),(504,1)}
       184:{1,3,4,7}:{(140,1),(142,1),(233,1),(359,1),(442,1)}
       185:{2,4,6}:{(140,1),(141,1),(143,1),(233,1),(234,1)}
       186:{1,4,5}:{(141,1),(144,1),(234,1)}
       187:{2,3,5,7}:{(142,1),(143,1),(146,1),(226,1),(233,1),(236,1),(423,1),(434,1)}
       188:{1,3,5,6}:{(143,1),(144,1),(147,1),(227,1),(234,1),(236,1),(237,1),(337,1)}
       189:{1,2,5}:{(144,1),(145,1)}
       190:{1,2,3,6}:{(145,1),(149,1),(238,1),(337,1)}
       191:{1,3,6,7}:{(146,1),(147,1),(228,1),(236,1),(239,1)}
       192:{1,2,6}:{(147,1),(148,1)}
       193:{1,2,3,5,7}:{(148,1),(149,1),(230,1),(238,1),(240,1),(241,1),(342,1),(362,1),(456,1),(521,1)}
       194:{3,5,6,7}:{(150,1),(152,1),(242,1),(440,1),(513,1)}
       195:{3,4,5,7}:{(151,1),(152,1),(242,1),(244,1),(442,1),(513,1)}
       196:{2,4,5,6}:{(151,1),(153,1),(244,1),(245,1),(348,1)}
       197:{2,3,5,7}:{(152,1),(153,1),(154,1),(160,1),(226,1),(244,1),(246,1),(513,1),(517,1),(541,1)}
       198:{1,3,5,6}:{(153,1),(155,1),(161,1),(227,1),(245,1),(246,1),(247,1),(346,1),(547,1),(552,1)}
       199:{1,3,4,6,7}:{(154,1),(155,1),(162,1),(228,1),(246,1),(248,1),(259,1),(262,1),(330,1),(333,1),(343,1),(351,1),(359,1),(419,1),(427,1),(440,1),(442,1),(516,1),(540,1)}
       200:{2,4,6}:{(155,1),(156,1),(247,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(164,1),(230,1),(249,1),(250,1),(264,1),(335,1),(350,1),(366,1),(434,1)}
       202:{1,3,4,6,7}:{(157,1),(158,1),(242,1),(251,1),(343,1),(351,1),(440,1)}
       203:{2,5,6,7}:{(157,1),(160,1),(251,1),(252,1),(517,1)}
       204:{2,3,5,6}:{(159,1),(165,1),(253,1),(254,1),(346,1)}
       205:{2,4,5,7}:{(158,1),(159,1),(160,1),(167,1),(251,1),(253,1),(255,1),(355,1),(452,1),(517,1)}
       206:{1,4,5,6}:{(159,1),(161,1),(168,1),(254,1),(255,1),(451,1),(547,1)}
       207:{1,5,7}:{(160,1),(161,1),(162,1)}
       208:{1,2,5,6}:{(161,1),(163,1),(247,1),(257,1),(258,1),(271,1),(552,1)}
       209:{1,2,4,6,7}:{(162,1),(163,1),(173,1),(248,1),(257,1),(259,1),(265,1),(359,1),(431,1),(497,1),(540,1)}
       210:{1,3,6}:{(163,1),(164,1),(249,1)}
       211:{1,3,4,7}:{(164,1),(175,1),(250,1),(260,1),(267,1),(359,1),(433,1)}
       212:{2,3,4,7}:{(165,1),(167,1),(253,1),(262,1),(366,1),(442,1),(452,1)}
       213:{1,3,4,6}:{(165,1),(166,1),(168,1),(254,1),(262,1),(263,1),(266,1),(364,1),(451,1)}
       214:{2,4,5}:{(166,1),(263,1),(264,1)}
       215:{1,4,7}:{(167,1),(168,1),(170,1)}
       216:{1,2,4,6}:{(168,1),(169,1),(171,1),(263,1),(265,1),(266,1)}
       217:{1,3,5}:{(169,1),(264,1),(266,1),(267,1)}
       218:{1,2,5,7}:{(170,1),(171,1),(173,1),(265,1),(355,1)}
       219:{1,2,3,5,6}:{(171,1),(172,1),(174,1),(258,1),(266,1),(268,1),(269,1),(271,1),(356,1),(369,1),(371,1),(461,1)}
       220:{1,2,4}:{(172,1),(267,1)}
       221:{1,2,3,6,7}:{(173,1),(174,1),(259,1),(268,1),(270,1),(447,1),(461,1),(507,1)}
       222:{1,2,4,6}:{(174,1),(175,1),(260,1),(271,1)}
       223:{1,3,5,6,7}:{(176,1),(178,1),(194,1),(272,1),(273,1),(525,1)}
       224:{1,3,4,5,7}:{(177,1),(178,1),(184,1),(195,1),(272,1),(275,1),(295,1),(375,1),(395,1),(469,1),(525,1)}
       225:{2,4,5,6}:{(177,1),(179,1),(185,1),(274,1),(275,1),(276,1),(376,1),(468,1),(549,1)}
       226:{2,5,7}:{(178,1),(179,1),(180,1),(277,1)}
       227:{1,5,6}:{(179,1),(181,1),(277,1)}
       228:{1,4,6,7}:{(180,1),(181,1),(191,1),(277,1),(285,1)}
       229:{1,2,4,6}:{(181,1),(182,1),(192,1),(200,1),(278,1),(280,1),(380,1),(538,1),(539,1)}
       230:{1,3,5,7}:{(182,1),(201,1),(280,1),(281,1),(287,1),(313,1),(382,1),(388,1),(413,1)}
       231:{2,3,4,6}:{(183,1),(185,1),(274,1),(282,1),(283,1),(386,1),(396,1),(468,1)}
       232:{1,3,4,5}:{(183,1),(186,1),(283,1),(284,1),(287,1),(384,1),(528,1)}
       233:{2,4,7}:{(184,1),(185,1),(187,1),(285,1)}
       234:{1,4,6}:{(185,1),(186,1),(188,1),(285,1)}
       235:{1,2,4,5}:{(186,1),(189,1),(284,1),(286,1),(287,1),(290,1)}
       236:{1,3,5,7}:{(187,1),(188,1),(191,1),(277,1),(285,1),(288,1),(388,1)}
       237:{1,2,5,6}:{(188,1),(189,1),(192,1),(286,1),(288,1),(376,1)}
       238:{1,2,3,5}:{(189,1),(190,1),(287,1),(290,1)}
       239:{1,2,6,7}:{(191,1),(192,1),(288,1),(462,1)}
       240:{1,2,3,6}:{(192,1),(193,1),(280,1),(292,1),(539,1)}
       241:{1,2,4,7}:{(193,1),(281,1),(290,1),(292,1),(412,1)}
       242:{3,4,6,7}:{(194,1),(195,1),(293,1)}
       243:{2,3,5,6,7}:{(194,1),(197,1),(203,1),(273,1),(293,1),(294,1),(301,1),(372,1)}
       244:{2,4,5,7}:{(195,1),(196,1),(197,1),(293,1),(295,1),(397,1)}
       245:{1,4,5,6}:{(196,1),(198,1),(295,1),(296,1),(309,1),(380,1)}
       246:{1,3,5,7}:{(197,1),(198,1),(199,1),(207,1),(277,1),(295,1),(297,1),(395,1),(536,1),(548,1)}
       247:{2,5,6}:{(198,1),(200,1),(297,1)}
       248:{2,4,6,7}:{(199,1),(200,1),(297,1),(299,1),(314,1),(385,1),(397,1),(400,1),(462,1)}
       249:{2,3,6}:{(200,1),(201,1),(210,1),(280,1)}
       250:{2,3,4,7}:{(201,1),(211,1),(281,1),(300,1),(316,1),(387,1),(397,1)}
       251:{2,4,6,7}:{(202,1),(203,1),(205,1),(301,1),(302,1),(400,1)}
       252:{1,5,6,7}:{(203,1),(207,1),(302,1),(536,1)}
       253:{2,3,5,7}:{(204,1),(205,1),(212,1),(301,1),(304,1),(395,1)}
       254:{1,3,5,6}:{(204,1),(206,1),(213,1),(304,1),(305,1)}
       255:{1,4,5,7}:{(205,1),(206,1),(207,1),(215,1),(302,1),(304,1),(489,1),(536,1)}
       256:{1,2,4,5,6}:{(206,1),(208,1),(216,1),(296,1),(305,1),(306,1),(307,1),(309,1),(320,1),(406,1),(418,1),(488,1),(537,1)}
       257:{1,2,5,7}:{(207,1),(208,1),(209,1),(297,1),(308,1),(548,1)}
       258:{1,3,5,6}:{(208,1),(210,1),(298,1),(308,1),(309,1),(311,1)}
       259:{1,3,6,7}:{(209,1),(210,1),(299,1),(308,1),(317,1),(475,1)}
       260:{1,3,4,6}:{(210,1),(211,1),(222,1),(300,1),(309,1),(311,1)}
       261:{1,2,4,5}:{(214,1),(312,1),(313,1),(412,1),(490,1),(494,1)}
       262:{1,3,4,7}:{(212,1),(213,1),(215,1),(304,1),(314,1),(317,1),(413,1),(489,1)}
       263:{2,4,6}:{(213,1),(214,1),(305,1),(314,1),(315,1)}
       264:{2,3,5}:{(214,1),(217,1),(313,1),(315,1),(316,1)}
       265:{1,2,4,7}:{(215,1),(216,1),(218,1),(314,1),(317,1)}
       266:{1,3,6}:{(216,1),(217,1),(315,1),(317,1)}
       267:{1,3,4}:{(217,1),(220,1),(316,1)}
       268:{1,2,3,5,7}:{(218,1),(219,1),(221,1),(308,1),(317,1),(319,1),(321,1),(405,1),(417,1)}
       269:{1,2,4,6}:{(219,1),(220,1),(309,1),(318,1),(319,1),(320,1),(406,1)}
       270:{1,2,4,6,7}:{(221,1),(222,1),(310,1),(319,1),(321,1),(418,1),(486,1),(531,1),(551,1)}
       271:{1,2,5}:{(222,1),(311,1)}
       272:{1,3,4,6,7}:{(223,1),(224,1),(242,1),(322,1),(343,1),(419,1),(440,1)}
       273:{2,5,6,7}:{(223,1),(226,1),(322,1),(323,1),(541,1)}
       274:{2,3,5,6}:{(225,1),(231,1),(324,1),(325,1),(346,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(226,1),(233,1),(322,1),(324,1),(326,1),(423,1),(503,1),(541,1)}
       276:{1,4,5,6}:{(225,1),(227,1),(234,1),(325,1),(326,1),(502,1),(552,1)}
       277:{1,5,7}:{(226,1),(227,1),(228,1)}
       278:{1,2,5,6}:{(227,1),(229,1),(247,1),(328,1),(329,1),(342,1),(547,1)}
       279:{1,2,4,6,7}:{(228,1),(229,1),(239,1),(248,1),(328,1),(330,1),(336,1),(363,1),(427,1),(446,1),(516,1)}
       280:{1,3,6}:{(229,1),(230,1),(249,1)}
       281:{1,3,4,7}:{(230,1),(241,1),(250,1),(331,1),(338,1),(365,1),(427,1)}
       282:{2,3,4,7}:{(231,1),(233,1),(324,1),(333,1),(434,1),(442,1),(503,1)}
       283:{1,3,4,6}:{(231,1),(232,1),(234,1),(325,1),(333,1),(334,1),(337,1),(432,1),(502,1)}
       284:{2,4,5}:{(232,1),(334,1),(335,1)}
       285:{1,4,7}:{(233,1),(234,1),(236,1)}
       286:{1,2,4,6}:{(234,1),(235,1),(237,1),(334,1),(336,1),(337,1)}
       287:{1,3,5}:{(235,1),(335,1),(337,1),(338,1)}
       288:{1,2,5,7}:{(236,1),(237,1),(239,1),(336,1),(423,1)}
       289:{1,2,3,5,6}:{(237,1),(238,1),(240,1),(329,1),(337,1),(339,1),(340,1),(342,1),(424,1),(437,1),(439,1),(512,1)}
       290:{1,2,4}:{(238,1),(338,1)}
       291:{1,2,3,6,7}:{(239,1),(240,1),(330,1),(339,1),(341,1),(456,1),(498,1),(512,1)}
       292:{1,2,4,6}:{(240,1),(241,1),(331,1),(342,1)}
       293:{2,4,6,7}:{(242,1),(243,1),(244,1),(343,1)}
       294:{1,3,5,6,7}:{(243,1),(246,1),(252,1),(323,1),(343,1),(344,1),(351,1),(419,1),(440,1)}
       295:{1,4,5,7}:{(244,1),(245,1),(246,1),(343,1),(345,1),(359,1),(427,1)}
       296:{2,4,5,6}:{(245,1),(247,1),(345,1),(346,1),(348,1)}
       297:{2,5,7}:{(246,1),(247,1),(248,1)}
       298:{2,3,5,6}:{(247,1),(249,1),(258,1),(329,1),(346,1),(347,1),(348,1),(350,1)}
       299:{2,3,6,7}:{(248,1),(249,1),(259,1),(330,1),(347,1),(366,1),(434,1),(440,1)}
       300:{2,3,4,6}:{(249,1),(250,1),(260,1),(331,1),(348,1),(350,1)}
       301:{2,3,6,7}:{(251,1),(253,1),(351,1),(440,1)}
       302:{1,4,6,7}:{(251,1),(252,1),(255,1),(351,1)}
       303:{1,2,5,6,7}:{(252,1),(257,1),(344,1),(352,1),(353,1),(371,1),(497,1),(517,1)}
       304:{1,3,5,7}:{(253,1),(254,1),(255,1),(262,1),(351,1),(355,1)}
       305:{2,5,6}:{(254,1),(263,1),(355,1)}
       306:{1,2,4,5,7}:{(255,1),(256,1),(257,1),(265,1),(345,1),(352,1),(355,1),(357,1),(359,1),(449,1),(452,1),(517,1)}
       307:{1,3,5,6}:{(256,1),(266,1),(346,1),(356,1),(357,1),(358,1),(369,1),(461,1)}
       308:{1,3,5,7}:{(257,1),(258,1),(259,1),(347,1),(359,1)}
       309:{1,4,6}:{(258,1),(348,1),(359,1),(360,1)}
       310:{1,3,4,6,7}:{(259,1),(260,1),(270,1),(349,1),(359,1),(361,1),(368,1),(455,1),(461,1),(509,1),(540,1),(546,1)}
       311:{1,3,5}:{(260,1),(271,1),(350,1),(360,1)}
       312:{1,2,4,6}:{(261,1),(263,1),(354,1),(363,1),(364,1),(451,1)}
       313:{1,3,5}:{(261,1),(264,1),(364,1),(365,1)}
       314:{2,4,7}:{(262,1),(263,1),(355,1),(366,1)}
       315:{2,3,6}:{(263,1),(264,1),(266,1),(364,1),(366,1)}
       316:{2,3,4}:{(264,1),(267,1),(365,1)}
       317:{1,3,7}:{(265,1),(266,1),(366,1)}
       318:{1,3,4,6}:{(266,1),(267,1),(269,1),(367,1),(368,1),(369,1),(461,1)}
       319:{1,2,4,7}:{(268,1),(269,1),(359,1),(368,1),(452,1)}
       320:{1,2,4,5}:{(269,1),(271,1),(360,1),(369,1),(453,1)}
       321:{1,2,5,7}:{(270,1),(271,1),(361,1),(371,1),(517,1)}
       322:{2,4,6,7}:{(272,1),(273,1),(275,1),(372,1),(373,1),(462,1)}
       323:{1,5,6,7}:{(273,1),(277,1),(373,1),(548,1)}
       324:{2,3,5,7}:{(274,1),(275,1),(282,1),(372,1),(375,1),(395,1)}
       325:{1,3,5,6}:{(274,1),(276,1),(283,1),(375,1),(376,1)}
       326:{1,4,5,7}:{(275,1),(276,1),(277,1),(285,1),(373,1),(375,1),(527,1),(548,1)}
       327:{1,2,4,5,6}:{(276,1),(278,1),(286,1),(296,1),(376,1),(377,1),(378,1),(380,1),(391,1),(468,1),(480,1),(526,1),(549,1)}
       328:{1,2,5,7}:{(277,1),(278,1),(279,1),(297,1),(379,1),(536,1)}
       329:{1,3,5,6}:{(278,1),(280,1),(298,1),(379,1),(380,1),(382,1)}
       330:{1,3,6,7}:{(279,1),(280,1),(299,1),(379,1),(388,1),(413,1)}
       331:{1,3,4,6}:{(280,1),(281,1),(292,1),(300,1),(380,1),(382,1)}
       332:{1,2,4,5}:{(284,1),(383,1),(384,1),(474,1),(528,1),(532,1)}
       333:{1,3,4,7}:{(282,1),(283,1),(285,1),(375,1),(385,1),(388,1),(475,1),(527,1)}
       334:{2,4,6}:{(283,1),(284,1),(376,1),(385,1),(386,1)}
       335:{2,3,5}:{(284,1),(287,1),(384,1),(386,1),(387,1)}
       336:{1,2,4,7}:{(285,1),(286,1),(288,1),(385,1),(388,1)}
       337:{1,3,6}:{(286,1),(287,1),(386,1),(388,1)}
       338:{1,3,4}:{(287,1),(290,1),(387,1)}
       339:{1,2,3,5,7}:{(288,1),(289,1),(291,1),(379,1),(388,1),(390,1),(392,1),(467,1),(479,1)}
       340:{1,2,4,6}:{(289,1),(290,1),(380,1),(389,1),(390,1),(391,1),(468,1)}
       341:{1,2,4,6,7}:{(291,1),(292,1),(381,1),(390,1),(392,1),(480,1),(493,1),(524,1),(539,1)}
       342:{1,2,5}:{(292,1),(382,1)}
       343:{1,4,6,7}:{(293,1),(294,1),(295,1),(393,1)}
       344:{2,5,6,7}:{(294,1),(297,1),(393,1),(400,1),(462,1)}
       345:{2,4,5,7}:{(295,1),(296,1),(297,1),(393,1),(395,1),(397,1)}
       346:{3,5,6}:{(296,1),(395,1),(396,1)}
       347:{2,3,5,7}:{(297,1),(298,1),(299,1),(308,1),(379,1),(395,1),(397,1)}
       348:{2,4,6}:{(298,1),(309,1),(380,1),(396,1),(397,1),(398,1)}
       349:{2,3,4,6,7}:{(299,1),(300,1),(310,1),(381,1),(397,1),(399,1),(415,1),(477,1),(481,1),(484,1),(486,1),(496,1),(524,1),(534,1)}
       350:{2,3,5}:{(300,1),(311,1),(382,1),(398,1)}
       351:{1,3,6,7}:{(301,1),(302,1),(304,1),(400,1)}
       352:{1,2,4,6,7}:{(302,1),(303,1),(306,1),(393,1),(400,1),(401,1),(402,1),(418,1),(486,1)}
       353:{1,3,5,6,7}:{(303,1),(308,1),(394,1),(401,1),(402,1),(410,1),(487,1),(523,1),(548,1)}
       354:{1,2,5,6}:{(305,1),(312,1),(403,1),(404,1),(494,1),(539,1)}
       355:{2,5,7}:{(304,1),(305,1),(314,1),(400,1)}
       356:{2,3,5,6}:{(305,1),(307,1),(315,1),(404,1),(405,1),(406,1),(416,1),(496,1),(537,1)}
       357:{1,3,5,7}:{(306,1),(307,1),(317,1),(395,1),(401,1),(405,1),(407,1)}
       358:{1,3,4,6}:{(307,1),(309,1),(396,1),(406,1),(407,1),(408,1)}
       359:{1,4,7}:{(308,1),(309,1),(397,1)}
       360:{1,4,5}:{(309,1),(311,1),(398,1)}
       361:{1,3,5,7}:{(310,1),(311,1),(321,1),(399,1),(409,1),(410,1),(548,1)}
       362:{1,2,3,5}:{(313,1),(411,1),(412,1),(494,1)}
       363:{1,2,4,7}:{(312,1),(314,1),(403,1),(413,1),(489,1)}
       364:{1,3,6}:{(312,1),(313,1),(315,1),(413,1)}
       365:{1,3,4}:{(313,1),(316,1),(412,1)}
       366:{2,3,7}:{(314,1),(315,1),(317,1),(413,1)}
       367:{2,3,4,6}:{(315,1),(316,1),(318,1),(406,1),(414,1),(415,1),(416,1),(496,1)}
       368:{1,3,4,7}:{(317,1),(318,1),(319,1),(415,1),(417,1)}
       369:{1,3,5}:{(318,1),(320,1),(416,1)}
       370:{1,2,4,5,7}:{(319,1),(320,1),(321,1),(409,1),(417,1),(418,1),(491,1)}
       371:{1,2,5,6}:{(321,1),(410,1),(418,1),(537,1),(551,1)}
       372:{2,3,6,7}:{(322,1),(324,1),(419,1),(440,1)}
       373:{1,4,6,7}:{(322,1),(323,1),(326,1),(419,1)}
       374:{1,2,5,6,7}:{(323,1),(328,1),(344,1),(420,1),(421,1),(439,1),(446,1),(541,1)}
       375:{1,3,5,7}:{(324,1),(325,1),(326,1),(333,1),(419,1),(423,1)}
       376:{2,5,6}:{(325,1),(334,1),(423,1)}
       377:{1,2,4,5,7}:{(326,1),(327,1),(328,1),(336,1),(345,1),(420,1),(423,1),(425,1),(427,1),(500,1),(503,1),(541,1)}
       378:{1,3,5,6}:{(327,1),(337,1),(346,1),(424,1),(425,1),(426,1),(437,1),(512,1)}
       379:{1,3,5,7}:{(328,1),(329,1),(330,1),(347,1),(427,1)}
       380:{1,4,6}:{(329,1),(348,1),(427,1),(428,1)}
       381:{1,3,4,6,7}:{(330,1),(331,1),(341,1),(349,1),(427,1),(429,1),(436,1),(458,1),(506,1),(512,1),(516,1),(522,1)}
       382:{1,3,5}:{(331,1),(342,1),(350,1),(428,1)}
       383:{1,2,4,6}:{(332,1),(334,1),(422,1),(431,1),(432,1),(502,1)}
       384:{1,3,5}:{(332,1),(335,1),(432,1),(433,1)}
       385:{2,4,7}:{(333,1),(334,1),(423,1),(434,1)}
       386:{2,3,6}:{(334,1),(335,1),(337,1),(432,1),(434,1)}
       387:{2,3,4}:{(335,1),(338,1),(433,1)}
       388:{1,3,7}:{(336,1),(337,1),(434,1)}
       389:{1,3,4,6}:{(337,1),(338,1),(340,1),(435,1),(436,1),(437,1),(512,1)}
       390:{1,2,4,7}:{(339,1),(340,1),(427,1),(436,1),(503,1)}
       391:{1,2,4,5}:{(340,1),(342,1),(428,1),(437,1),(504,1)}
       392:{1,2,5,7}:{(341,1),(342,1),(429,1),(439,1),(541,1)}
       393:{2,4,6,7}:{(343,1),(344,1),(345,1),(440,1)}
       394:{2,3,5,6,7}:{(344,1),(347,1),(353,1),(421,1),(440,1),(441,1),(445,1),(447,1),(498,1),(513,1),(517,1),(541,1)}
       395:{3,5,7}:{(345,1),(346,1),(440,1),(442,1)}
       396:{3,4,6}:{(346,1),(348,1),(442,1),(443,1)}
       397:{2,4,7}:{(347,1),(348,1),(359,1),(427,1),(442,1)}
       398:{2,4,5}:{(348,1),(350,1),(360,1),(428,1),(443,1)}
       399:{2,3,5,7}:{(349,1),(350,1),(361,1),(429,1),(444,1),(445,1),(513,1),(517,1),(541,1)}
       400:{2,6,7}:{(351,1),(355,1)}
       401:{1,3,6,7}:{(352,1),(357,1),(440,1),(447,1),(461,1)}
       402:{1,4,6,7}:{(353,1),(359,1),(441,1),(449,1),(455,1)}
       403:{1,2,5,7}:{(354,1),(355,1),(363,1),(446,1),(450,1)}
       404:{1,3,5,6}:{(354,1),(356,1),(364,1),(450,1),(451,1),(459,1),(522,1),(547,1)}
       405:{2,3,5,7}:{(355,1),(356,1),(357,1),(366,1),(447,1),(450,1),(452,1),(517,1)}
       406:{2,4,6}:{(356,1),(358,1),(451,1),(452,1),(453,1)}
       407:{1,3,4,7}:{(357,1),(358,1),(359,1),(442,1),(452,1)}
       408:{1,3,4,5}:{(358,1),(360,1),(369,1),(443,1),(453,1)}
       409:{1,4,5,7}:{(359,1),(360,1),(361,1),(444,1),(455,1)}
       410:{1,3,5,6}:{(361,1),(371,1),(445,1),(455,1),(461,1),(546,1),(552,1)}
       411:{1,2,3,6}:{(362,1),(364,1),(456,1),(457,1)}
       412:{1,2,4}:{(362,1),(365,1)}
       413:{1,3,7}:{(363,1),(364,1),(366,1)}
       414:{1,3,4,6}:{(364,1),(365,1),(367,1),(451,1),(457,1),(458,1),(459,1),(522,1)}
       415:{2,3,4,7}:{(366,1),(367,1),(368,1),(452,1),(458,1),(460,1)}
       416:{2,3,5}:{(367,1),(369,1),(453,1),(459,1)}
       417:{1,3,5,7}:{(368,1),(369,1),(370,1),(460,1),(461,1)}
       418:{1,2,4,6}:{(370,1),(371,1),(455,1),(461,1),(520,1)}
       419:{1,3,6,7}:{(372,1),(373,1),(375,1),(462,1)}
       420:{1,2,4,6,7}:{(373,1),(374,1),(377,1),(393,1),(462,1),(463,1),(464,1),(480,1),(524,1)}
       421:{1,3,5,6,7}:{(374,1),(379,1),(394,1),(463,1),(464,1),(472,1),(485,1),(525,1),(536,1)}
       422:{1,2,5,6}:{(376,1),(383,1),(465,1),(466,1),(532,1),(551,1)}
       423:{2,5,7}:{(375,1),(376,1),(385,1),(462,1)}
       424:{2,3,5,6}:{(376,1),(378,1),(386,1),(466,1),(467,1),(468,1),(478,1),(534,1),(549,1)}
       425:{1,3,5,7}:{(377,1),(378,1),(388,1),(395,1),(463,1),(467,1),(469,1)}
       426:{1,3,4,6}:{(378,1),(380,1),(396,1),(468,1),(469,1),(470,1)}
       427:{1,4,7}:{(379,1),(380,1),(397,1)}
       428:{1,4,5}:{(380,1),(382,1),(398,1)}
       429:{1,3,5,7}:{(381,1),(382,1),(392,1),(399,1),(471,1),(472,1),(536,1)}
       430:{1,2,3,5}:{(384,1),(473,1),(474,1),(532,1)}
       431:{1,2,4,7}:{(383,1),(385,1),(465,1),(475,1),(527,1)}
       432:{1,3,6}:{(383,1),(384,1),(386,1),(475,1)}
       433:{1,3,4}:{(384,1),(387,1),(474,1)}
       434:{2,3,7}:{(385,1),(386,1),(388,1),(475,1)}
       435:{2,3,4,6}:{(386,1),(387,1),(389,1),(468,1),(476,1),(477,1),(478,1),(534,1)}
       436:{1,3,4,7}:{(388,1),(389,1),(390,1),(477,1),(479,1)}
       437:{1,3,5}:{(389,1),(391,1),(478,1)}
       438:{1,2,4,5,7}:{(390,1),(391,1),(392,1),(471,1),(479,1),(480,1),(529,1)}
       439:{1,2,5,6}:{(392,1),(472,1),(480,1),(539,1),(549,1)}
       440:{3,6,7}:{(393,1),(395,1)}
       441:{2,4,6,7}:{(394,1),(397,1),(402,1),(464,1),(481,1),(482,1),(484,1)}
       442:{3,4,7}:{(395,1),(396,1),(397,1)}
       443:{3,4,5}:{(396,1),(398,1)}
       444:{2,4,5,7}:{(397,1),(398,1),(399,1),(409,1),(471,1),(483,1),(484,1)}
       445:{2,3,5,6}:{(399,1),(410,1),(472,1),(484,1),(496,1),(534,1),(535,1),(537,1),(549,1)}
       446:{1,2,6,7}:{(400,1),(403,1),(485,1),(539,1)}
       447:{2,3,6,7}:{(400,1),(401,1),(405,1),(485,1),(486,1),(496,1)}
       448:{1,3,4,6,7}:{(401,1),(402,1),(407,1),(481,1),(486,1),(487,1),(492,1)}
       449:{1,4,5,7}:{(402,1),(482,1),(487,1),(488,1),(548,1)}
       450:{1,3,5,7}:{(403,1),(404,1),(405,1),(413,1),(485,1),(489,1),(536,1)}
       451:{1,4,6}:{(404,1),(406,1),(489,1),(490,1)}
       452:{2,4,7}:{(405,1),(406,1),(407,1),(489,1)}
       453:{2,4,5}:{(406,1),(408,1),(416,1),(490,1)}
       454:{1,3,4,5,7}:{(407,1),(408,1),(409,1),(417,1),(483,1),(487,1),(491,1),(492,1)}
       455:{1,4,6}:{(409,1),(410,1),(484,1)}
       456:{1,2,3,7}:{(411,1),(413,1),(493,1)}
       457:{1,2,4,6}:{(411,1),(412,1),(414,1),(493,1),(494,1),(539,1)}
       458:{1,3,4,7}:{(413,1),(414,1),(415,1),(489,1),(493,1),(495,1)}
       459:{1,3,5}:{(414,1),(416,1),(490,1),(494,1)}
       460:{2,3,5,7}:{(415,1),(416,1),(417,1),(491,1),(495,1),(496,1)}
       461:{1,3,6}:{(417,1),(418,1),(496,1)}
       462:{2,6,7}:{(419,1),(423,1)}
       463:{1,3,6,7}:{(420,1),(425,1),(440,1),(498,1),(512,1)}
       464:{1,4,6,7}:{(421,1),(427,1),(441,1),(500,1),(506,1)}
       465:{1,2,5,7}:{(422,1),(423,1),(431,1),(497,1),(501,1)}
       466:{1,3,5,6}:{(422,1),(424,1),(432,1),(501,1),(502,1),(510,1),(546,1),(552,1)}
       467:{2,3,5,7}:{(423,1),(424,1),(425,1),(434,1),(498,1),(501,1),(503,1),(541,1)}
       468:{2,4,6}:{(424,1),(426,1),(502,1),(503,1),(504,1)}
       469:{1,3,4,7}:{(425,1),(426,1),(427,1),(442,1),(503,1)}
       470:{1,3,4,5}:{(426,1),(428,1),(437,1),(443,1),(504,1)}
       471:{1,4,5,7}:{(427,1),(428,1),(429,1),(444,1),(506,1)}
       472:{1,3,5,6}:{(429,1),(439,1),(445,1),(506,1),(512,1),(522,1),(547,1)}
       473:{1,2,3,6}:{(430,1),(432,1),(507,1),(508,1)}
       474:{1,2,4}:{(430,1),(433,1)}
       475:{1,3,7}:{(431,1),(432,1),(434,1)}
       476:{1,3,4,6}:{(432,1),(433,1),(435,1),(502,1),(508,1),(509,1),(510,1),(546,1)}
       477:{2,3,4,7}:{(434,1),(435,1),(436,1),(503,1),(509,1),(511,1)}
       478:{2,3,5}:{(435,1),(437,1),(504,1),(510,1)}
       479:{1,3,5,7}:{(436,1),(437,1),(438,1),(511,1),(512,1)}
       480:{1,2,4,6}:{(438,1),(439,1),(506,1),(512,1),(544,1)}
       481:{3,4,6,7}:{(440,1),(441,1),(442,1),(513,1),(515,1)}
       482:{2,4,5,7}:{(441,1),(449,1),(500,1),(513,1),(514,1),(517,1),(541,1)}
       483:{3,4,5,7}:{(442,1),(443,1),(444,1),(513,1),(515,1)}
       484:{2,4,6}:{(444,1),(445,1),(455,1),(506,1),(515,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(450,1),(516,1),(522,1)}
       486:{2,4,6,7}:{(447,1),(448,1),(452,1),(516,1),(517,1),(520,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(513,1),(517,1),(518,1)}
       488:{1,4,5,6}:{(449,1),(455,1),(514,1),(518,1),(552,1)}
       489:{1,4,7}:{(450,1),(451,1),(452,1)}
       490:{1,4,5}:{(451,1),(453,1),(459,1)}
       491:{2,4,5,7}:{(452,1),(453,1),(454,1),(460,1),(517,1),(519,1),(520,1)}
       492:{1,3,4,6}:{(454,1),(455,1),(461,1),(515,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(456,1),(457,1),(458,1),(521,1)}
       494:{1,2,5}:{(457,1),(459,1)}
       495:{1,3,5,7}:{(458,1),(459,1),(460,1),(519,1),(521,1),(522,1)}
       496:{2,3,6}:{(460,1),(461,1),(520,1),(522,1)}
       497:{1,2,6,7}:{(462,1),(465,1),(523,1),(551,1)}
       498:{2,3,6,7}:{(462,1),(463,1),(467,1),(523,1),(524,1),(534,1)}
       499:{1,3,4,6,7}:{(463,1),(464,1),(469,1),(481,1),(524,1),(525,1),(530,1)}
       500:{1,4,5,7}:{(464,1),(482,1),(525,1),(526,1),(536,1)}
       501:{1,3,5,7}:{(465,1),(466,1),(467,1),(475,1),(523,1),(527,1),(548,1)}
       502:{1,4,6}:{(466,1),(468,1),(527,1),(528,1)}
       503:{2,4,7}:{(467,1),(468,1),(469,1),(527,1)}
       504:{2,4,5}:{(468,1),(470,1),(478,1),(528,1)}
       505:{1,3,4,5,7}:{(469,1),(470,1),(471,1),(479,1),(483,1),(525,1),(529,1),(530,1)}
       506:{1,4,6}:{(471,1),(472,1),(484,1)}
       507:{1,2,3,7}:{(473,1),(475,1),(531,1)}
       508:{1,2,4,6}:{(473,1),(474,1),(476,1),(531,1),(532,1),(551,1)}
       509:{1,3,4,7}:{(475,1),(476,1),(477,1),(527,1),(531,1),(533,1)}
       510:{1,3,5}:{(476,1),(478,1),(528,1),(532,1)}
       511:{2,3,5,7}:{(477,1),(478,1),(479,1),(529,1),(533,1),(534,1)}
       512:{1,3,6}:{(479,1),(480,1),(534,1)}
       513:{3,5,7}:{(481,1),(482,1),(535,1)}
       514:{2,4,5,6}:{(482,1),(484,1),(488,1),(526,1),(535,1),(537,1),(549,1)}
       515:{3,4,6}:{(483,1),(484,1),(535,1)}
       516:{1,4,6,7}:{(485,1),(486,1),(489,1),(536,1),(538,1)}
       517:{2,5,7}:{(486,1),(487,1),(536,1),(537,1)}
       518:{1,3,5,6}:{(487,1),(488,1),(492,1),(535,1),(537,1)}
       519:{1,4,5,7}:{(489,1),(490,1),(491,1),(495,1),(536,1),(538,1)}
       520:{2,4,6}:{(491,1),(492,1),(496,1),(537,1),(538,1)}
       521:{1,2,5,7}:{(493,1),(494,1),(495,1),(539,1)}
       522:{1,3,6}:{(495,1),(496,1),(538,1),(539,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(501,1),(540,1),(546,1)}
       524:{2,4,6,7}:{(498,1),(499,1),(503,1),(540,1),(541,1),(544,1)}
       525:{1,3,5,7}:{(499,1),(500,1),(513,1),(541,1),(542,1)}
       526:{1,4,5,6}:{(500,1),(506,1),(514,1),(542,1),(547,1)}
       527:{1,4,7}:{(501,1),(502,1),(503,1)}
       528:{1,4,5}:{(502,1),(504,1),(510,1)}
       529:{2,4,5,7}:{(503,1),(504,1),(505,1),(511,1),(541,1),(543,1),(544,1)}
       530:{1,3,4,6}:{(505,1),(506,1),(512,1),(515,1),(542,1),(544,1)}
       531:{1,2,4,7}:{(507,1),(508,1),(509,1),(545,1)}
       532:{1,2,5}:{(508,1),(510,1)}
       533:{1,3,5,7}:{(509,1),(510,1),(511,1),(543,1),(545,1),(546,1)}
       534:{2,3,6}:{(511,1),(512,1),(544,1),(546,1)}
       535:{3,5,6}:{(513,1),(514,1),(515,1)}
       536:{1,5,7}:{(516,1),(517,1),(547,1)}
       537:{2,5,6}:{(517,1),(518,1),(520,1),(547,1)}
       538:{1,4,6}:{(519,1),(520,1),(522,1),(547,1)}
       539:{1,2,6}:{(521,1),(522,1)}
       540:{1,4,6,7}:{(523,1),(524,1),(527,1),(548,1),(550,1)}
       541:{2,5,7}:{(524,1),(525,1),(548,1),(549,1)}
       542:{1,3,5,6}:{(525,1),(526,1),(530,1),(535,1),(549,1)}
       543:{1,4,5,7}:{(527,1),(528,1),(529,1),(533,1),(548,1),(550,1)}
       544:{2,4,6}:{(529,1),(530,1),(534,1),(549,1),(550,1)}
       545:{1,2,5,7}:{(531,1),(532,1),(533,1),(551,1)}
       546:{1,3,6}:{(533,1),(534,1),(550,1),(551,1)}
       547:{1,5,6}:{(536,1),(537,1),(538,1)}
       548:{1,5,7}:{(540,1),(541,1),(552,1)}
       549:{2,5,6}:{(541,1),(542,1),(544,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{1,2,6}:{(545,1),(546,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1693 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(35,1),(49,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(28,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(33,1),(56,1),(108,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(13,1),(84,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{1,3,4,6}:{(3,1),(12,1),(14,1),(16,1),(17,1),(49,1),(52,1),(53,1),(80,1),(131,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(132,1)}
         8:{1,2,5}:{(3,1),(17,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(23,1),(58,1)}
        10:{1,2,3,7}:{(4,1),(22,1),(112,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(21,1),(22,1),(23,1),(26,1),(63,1),(71,1)}
        12:{2,3,4,6}:{(6,1),(21,1),(24,1),(25,1),(27,1),(57,1),(67,1),(68,1),(73,1),(110,1)}
        13:{1,2,3}:{(26,1)}
        14:{1,3,4}:{(5,1),(27,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(8,1),(28,1),(29,1),(30,1),(72,1)}
        16:{1,3,4,7}:{(6,1),(7,1),(24,1),(31,1),(75,1),(78,1),(151,1)}
        17:{1,3,5}:{(6,1),(8,1),(25,1),(30,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(31,1),(33,1)}
        19:{1,2,5,6}:{(8,1),(29,1),(32,1),(33,1),(34,1),(108,1),(125,1)}
        20:{1,2,4}:{(9,1),(36,1)}
        21:{1,3,4,6}:{(11,1),(12,1),(36,1),(38,1),(39,1),(45,1),(84,1),(87,1),(88,1),(98,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(38,1),(40,1),(99,1)}
        23:{1,2,5}:{(11,1),(39,1)}
        24:{2,3,4,7}:{(12,1),(16,1),(38,1),(43,1),(95,1),(101,1),(134,1)}
        25:{2,3,5}:{(12,1),(17,1),(39,1),(42,1)}
        26:{1,2,4}:{(13,1),(45,1),(46,1)}
        27:{2,3,4}:{(14,1),(45,1),(47,1)}
        28:{1,3,5}:{(14,1),(15,1),(47,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(19,1),(49,1),(50,1),(52,1),(100,1)}
        30:{1,4,5}:{(17,1),(42,1),(52,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(18,1),(43,1),(51,1),(53,1)}
        32:{1,3,5,6}:{(17,1),(19,1),(44,1),(49,1),(52,1),(53,1),(54,1),(105,1),(131,1),(163,1)}
        33:{1,2,6}:{(18,1),(53,1)}
        34:{1,2,5,7}:{(19,1),(50,1),(54,1),(55,1),(132,1),(147,1)}
        35:{1,2,3}:{(56,1)}
        36:{1,3,4}:{(20,1),(57,1),(58,1)}
        37:{1,2,4,5}:{(20,1),(23,1),(58,1),(59,1),(60,1),(109,1)}
        38:{1,3,4,7}:{(21,1),(22,1),(24,1),(61,1),(112,1),(115,1),(124,1)}
        39:{1,3,5}:{(21,1),(23,1),(25,1),(60,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(61,1),(63,1)}
        41:{1,2,5,6}:{(23,1),(59,1),(62,1),(63,1),(64,1),(71,1),(152,1)}
        42:{2,4,5}:{(25,1),(30,1),(60,1),(65,1),(67,1)}
        43:{2,3,5,7}:{(24,1),(25,1),(31,1),(61,1),(66,1),(68,1)}
        44:{2,3,5,6}:{(25,1),(32,1),(62,1),(67,1),(68,1),(69,1),(73,1),(110,1),(117,1),(121,1),(125,1),(152,1)}
        45:{1,3,4}:{(26,1),(27,1),(70,1)}
        46:{1,2,5}:{(26,1),(70,1),(71,1)}
        47:{2,3,5}:{(27,1),(28,1),(70,1),(72,1),(73,1)}
        48:{1,3,4,5}:{(28,1),(30,1),(65,1),(72,1),(74,1)}
        49:{1,3,6}:{(28,1),(29,1),(73,1),(75,1)}
        50:{1,2,4,7}:{(29,1),(34,1),(75,1),(78,1),(126,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(66,1),(77,1),(78,1),(129,1)}
        52:{1,4,6}:{(30,1),(32,1),(67,1),(78,1)}
        53:{1,3,6}:{(31,1),(33,1),(68,1),(77,1)}
        54:{1,3,5,7}:{(32,1),(34,1),(69,1),(75,1),(78,1),(79,1),(129,1),(151,1),(171,1)}
        55:{1,2,6,7}:{(33,1),(34,1),(79,1),(162,1)}
        56:{1,2,4}:{(35,1),(80,1),(81,1)}
        57:{2,3,4}:{(36,1),(80,1),(82,1)}
        58:{1,3,5}:{(36,1),(37,1),(82,1),(84,1)}
        59:{1,2,4,6}:{(37,1),(41,1),(84,1),(85,1),(87,1),(133,1)}
        60:{1,4,5}:{(39,1),(42,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(40,1),(43,1),(86,1),(88,1)}
        62:{1,3,5,6}:{(39,1),(41,1),(44,1),(84,1),(87,1),(88,1),(89,1),(98,1),(138,1),(145,1)}
        63:{1,2,6}:{(40,1),(88,1)}
        64:{1,2,5,7}:{(41,1),(85,1),(89,1),(90,1),(99,1),(165,1)}
        65:{3,4,5}:{(42,1),(92,1)}
        66:{2,4,5,7}:{(42,1),(43,1),(51,1),(86,1),(91,1),(94,1),(95,1),(144,1)}
        67:{2,4,6}:{(42,1),(44,1),(52,1),(87,1),(92,1),(95,1)}
        68:{2,3,6}:{(43,1),(53,1),(88,1),(94,1)}
        69:{2,3,5,7}:{(44,1),(54,1),(89,1),(95,1),(96,1),(101,1),(134,1),(140,1),(144,1),(147,1),(165,1)}
        70:{1,3,5}:{(45,1),(46,1),(47,1),(97,1),(98,1)}
        71:{1,2,6}:{(46,1),(98,1),(99,1)}
        72:{2,4,5}:{(47,1),(48,1),(97,1),(100,1)}
        73:{2,3,6}:{(47,1),(49,1),(98,1),(100,1),(101,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(52,1),(92,1),(100,1),(102,1),(103,1)}
        75:{1,3,7}:{(49,1),(50,1),(101,1)}
        76:{1,4,5,6}:{(52,1),(93,1),(102,1),(104,1),(105,1),(163,1)}
        77:{1,4,6}:{(51,1),(53,1),(94,1),(105,1)}
        78:{1,4,7}:{(52,1),(54,1),(95,1)}
        79:{1,3,6,7}:{(53,1),(54,1),(55,1),(96,1),(106,1),(174,1)}
        80:{1,3,4}:{(56,1),(57,1),(107,1)}
        81:{1,2,5}:{(56,1),(107,1),(108,1)}
        82:{2,3,5}:{(57,1),(58,1),(107,1),(109,1),(110,1)}
        83:{1,3,4,5}:{(58,1),(60,1),(65,1),(109,1),(111,1)}
        84:{1,3,6}:{(58,1),(59,1),(110,1),(112,1)}
        85:{1,2,4,7}:{(59,1),(64,1),(112,1),(115,1),(153,1)}
        86:{1,4,5,7}:{(60,1),(61,1),(66,1),(114,1),(115,1),(156,1)}
        87:{1,4,6}:{(60,1),(62,1),(67,1),(115,1)}
        88:{1,3,6}:{(61,1),(63,1),(68,1),(114,1)}
        89:{1,3,5,7}:{(62,1),(64,1),(69,1),(112,1),(115,1),(116,1),(124,1),(156,1),(161,1)}
        90:{1,2,6,7}:{(63,1),(64,1),(116,1),(172,1)}
        91:{3,4,5,7}:{(65,1),(66,1),(118,1),(119,1),(159,1)}
        92:{3,4,6}:{(65,1),(67,1),(117,1),(119,1)}
        93:{2,4,5,6}:{(67,1),(76,1),(113,1),(117,1),(120,1),(121,1),(125,1),(152,1),(158,1)}
        94:{2,4,6}:{(66,1),(68,1),(77,1),(114,1),(118,1),(121,1)}
        95:{2,4,7}:{(67,1),(69,1),(78,1),(115,1),(119,1)}
        96:{2,3,6,7}:{(68,1),(69,1),(79,1),(116,1),(122,1),(157,1),(162,1),(172,1)}
        97:{1,4,5}:{(70,1),(72,1),(123,1)}
        98:{1,3,6}:{(70,1),(71,1),(73,1),(123,1),(124,1)}
        99:{1,2,7}:{(71,1),(124,1)}
       100:{2,4,6}:{(72,1),(73,1),(74,1),(123,1),(125,1),(126,1)}
       101:{2,3,7}:{(73,1),(75,1),(124,1),(126,1)}
       102:{1,3,5,6}:{(74,1),(76,1),(117,1),(125,1),(127,1)}
       103:{1,3,4,7}:{(74,1),(75,1),(78,1),(119,1),(126,1),(127,1)}
       104:{1,4,5,7}:{(76,1),(78,1),(120,1),(127,1),(128,1),(129,1),(171,1)}
       105:{1,5,6}:{(77,1),(121,1),(129,1)}
       106:{1,4,6,7}:{(77,1),(78,1),(79,1),(122,1),(129,1)}
       107:{1,3,5}:{(80,1),(81,1),(82,1),(130,1),(131,1)}
       108:{1,2,6}:{(81,1),(131,1),(132,1)}
       109:{2,4,5}:{(82,1),(83,1),(130,1),(133,1)}
       110:{2,3,6}:{(82,1),(84,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(87,1),(92,1),(133,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(134,1)}
       113:{1,4,5,6}:{(87,1),(93,1),(135,1),(137,1),(138,1),(145,1)}
       114:{1,4,6}:{(86,1),(88,1),(94,1),(138,1)}
       115:{1,4,7}:{(87,1),(89,1),(95,1)}
       116:{1,3,6,7}:{(88,1),(89,1),(90,1),(96,1),(139,1),(170,1)}
       117:{3,5,6}:{(92,1),(93,1),(140,1)}
       118:{3,4,6}:{(91,1),(94,1),(141,1)}
       119:{3,4,7}:{(92,1),(95,1),(140,1)}
       120:{2,4,5,7}:{(93,1),(95,1),(104,1),(137,1),(140,1),(143,1),(144,1),(147,1),(165,1),(169,1)}
       121:{2,5,6}:{(94,1),(105,1),(138,1),(141,1),(144,1)}
       122:{2,4,6,7}:{(94,1),(95,1),(96,1),(106,1),(139,1),(142,1),(144,1)}
       123:{1,4,6}:{(97,1),(98,1),(100,1),(145,1),(146,1)}
       124:{1,3,7}:{(98,1),(99,1),(101,1),(146,1)}
       125:{2,5,6}:{(100,1),(102,1),(145,1),(147,1)}
       126:{2,4,7}:{(100,1),(101,1),(103,1),(146,1),(147,1)}
       127:{1,3,5,7}:{(102,1),(103,1),(104,1),(140,1),(147,1),(148,1)}
       128:{1,4,6,7}:{(104,1),(143,1),(148,1),(149,1),(174,1)}
       129:{1,5,7}:{(105,1),(106,1),(144,1)}
       130:{1,4,5}:{(107,1),(109,1),(150,1)}
       131:{1,3,6}:{(107,1),(108,1),(110,1),(150,1),(151,1)}
       132:{1,2,7}:{(108,1),(151,1)}
       133:{2,4,6}:{(109,1),(110,1),(111,1),(150,1),(152,1),(153,1)}
       134:{2,3,7}:{(110,1),(112,1),(151,1),(153,1)}
       135:{1,3,5,6}:{(111,1),(113,1),(117,1),(152,1),(154,1)}
       136:{1,3,4,7}:{(111,1),(112,1),(115,1),(119,1),(153,1),(154,1)}
       137:{1,4,5,7}:{(113,1),(115,1),(120,1),(154,1),(155,1),(156,1),(161,1)}
       138:{1,5,6}:{(114,1),(121,1),(156,1)}
       139:{1,4,6,7}:{(114,1),(115,1),(116,1),(122,1),(156,1)}
       140:{3,5,7}:{(117,1),(119,1),(120,1),(157,1)}
       141:{3,5,6}:{(118,1),(121,1),(158,1),(159,1)}
       142:{3,4,6,7}:{(118,1),(119,1),(122,1),(157,1),(159,1),(173,1)}
       143:{2,4,6,7}:{(120,1),(128,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       144:{2,5,7}:{(121,1),(122,1),(129,1),(156,1),(159,1)}
       145:{1,5,6}:{(123,1),(125,1),(161,1)}
       146:{1,4,7}:{(123,1),(124,1),(126,1),(161,1)}
       147:{2,5,7}:{(125,1),(126,1),(127,1),(161,1),(162,1)}
       148:{1,3,6,7}:{(127,1),(128,1),(157,1),(162,1)}
       149:{1,5,6,7}:{(128,1),(129,1),(160,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(163,1),(164,1)}
       151:{1,3,7}:{(131,1),(132,1),(134,1),(164,1)}
       152:{2,5,6}:{(133,1),(135,1),(163,1),(165,1)}
       153:{2,4,7}:{(133,1),(134,1),(136,1),(164,1),(165,1)}
       154:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(165,1),(166,1)}
       155:{1,4,6,7}:{(137,1),(143,1),(166,1),(167,1),(170,1)}
       156:{1,5,7}:{(138,1),(139,1),(144,1)}
       157:{3,6,7}:{(140,1),(143,1)}
       158:{4,5,6}:{(141,1),(169,1)}
       159:{3,5,7}:{(141,1),(142,1),(144,1),(169,1)}
       160:{2,5,6,7}:{(143,1),(144,1),(149,1),(167,1),(168,1)}
       161:{1,5,7}:{(145,1),(146,1),(147,1),(170,1)}
       162:{2,6,7}:{(147,1),(148,1),(170,1)}
       163:{1,5,6}:{(150,1),(152,1),(171,1)}
       164:{1,4,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,3,6,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,5,6,7}:{(155,1),(156,1),(160,1)}
       168:{3,5,6,7}:{(157,1),(159,1),(160,1),(173,1)}
       169:{4,5,7}:{(158,1),(159,1),(173,1)}
       170:{1,6,7}:{(161,1),(162,1)}
       171:{1,5,7}:{(163,1),(164,1),(165,1),(174,1)}
       172:{2,6,7}:{(165,1),(166,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1694 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(65,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(170,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(123,1)}
         4:{1,3,4,7}:{(2,1),(10,1),(11,1),(12,1),(85,1),(89,1),(161,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(42,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(120,1),(160,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(62,1),(98,1)}
         9:{1,2,4,7}:{(3,1),(16,1),(18,1),(19,1),(154,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(20,1),(21,1),(105,1),(114,1),(145,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(20,1),(23,1),(24,1),(25,1),(60,1),(65,1),(96,1),(144,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(21,1),(22,1),(23,1),(24,1)}
        13:{1,2,4}:{(5,1),(25,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,6}:{(7,1),(24,1)}
        16:{1,3,4,7}:{(9,1),(10,1),(29,1),(30,1),(119,1),(123,1),(136,1)}
        17:{1,2,3,5}:{(8,1),(31,1),(32,1),(72,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(86,1),(135,1)}
        19:{1,2,5,7}:{(9,1),(30,1),(32,1),(33,1)}
        20:{2,3,4,6}:{(10,1),(11,1),(29,1),(35,1),(36,1),(41,1),(71,1),(79,1),(88,1),(122,1)}
        21:{2,3,5,7}:{(10,1),(12,1),(30,1),(34,1),(35,1),(36,1)}
        22:{1,4,5,7}:{(12,1),(34,1),(37,1),(38,1),(82,1),(85,1)}
        23:{1,3,5}:{(11,1),(14,1),(35,1),(38,1)}
        24:{1,3,6}:{(12,1),(15,1),(36,1),(37,1)}
        25:{1,3,4}:{(13,1),(41,1),(42,1)}
        26:{1,2,4,5}:{(13,1),(14,1),(38,1),(42,1),(43,1),(83,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(39,1),(43,1),(44,1),(131,1),(160,1)}
        28:{1,2,6,7}:{(15,1),(40,1),(44,1),(164,1)}
        29:{1,3,4,6}:{(16,1),(18,1),(20,1),(46,1),(47,1),(48,1),(63,1),(93,1),(98,1),(113,1)}
        30:{1,3,5,7}:{(16,1),(19,1),(21,1),(45,1),(46,1),(47,1)}
        31:{1,2,4}:{(17,1),(48,1)}
        32:{1,2,5}:{(18,1),(46,1)}
        33:{1,2,6}:{(19,1),(47,1)}
        34:{2,4,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1),(54,1),(103,1),(105,1)}
        35:{2,3,5}:{(20,1),(23,1),(46,1),(54,1)}
        36:{2,3,6}:{(21,1),(24,1),(47,1),(53,1)}
        37:{1,4,6}:{(22,1),(24,1),(53,1),(57,1)}
        38:{1,4,5}:{(23,1),(54,1),(60,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(27,1),(55,1),(57,1),(60,1),(61,1),(65,1),(144,1),(167,1)}
        40:{1,3,6,7}:{(24,1),(28,1),(56,1),(58,1),(61,1),(174,1)}
        41:{2,3,4}:{(25,1),(63,1),(64,1)}
        42:{1,3,5}:{(25,1),(26,1),(64,1),(65,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(60,1),(65,1),(66,1),(110,1)}
        44:{1,2,5,7}:{(27,1),(28,1),(61,1),(66,1),(152,1),(170,1)}
        45:{1,4,5,7}:{(30,1),(34,1),(67,1),(68,1),(116,1),(119,1)}
        46:{1,3,5}:{(29,1),(32,1),(35,1),(68,1)}
        47:{1,3,6}:{(30,1),(33,1),(36,1),(67,1)}
        48:{1,3,4}:{(31,1),(71,1),(72,1)}
        49:{1,2,4,5}:{(31,1),(32,1),(68,1),(72,1),(73,1),(117,1)}
        50:{1,2,5,6}:{(32,1),(33,1),(69,1),(73,1),(74,1),(135,1),(156,1)}
        51:{1,2,6,7}:{(33,1),(70,1),(74,1),(172,1)}
        52:{3,4,5,7}:{(34,1),(75,1),(78,1),(125,1),(129,1)}
        53:{2,4,6}:{(34,1),(36,1),(37,1),(67,1),(75,1),(76,1)}
        54:{2,4,5}:{(35,1),(38,1),(68,1),(78,1),(79,1)}
        55:{2,3,5,6}:{(35,1),(36,1),(39,1),(69,1),(76,1),(79,1),(80,1),(88,1),(122,1),(127,1),(131,1),(156,1)}
        56:{2,3,6,7}:{(36,1),(40,1),(70,1),(77,1),(80,1),(163,1),(164,1),(172,1)}
        57:{1,5,6}:{(37,1),(76,1),(82,1)}
        58:{1,4,6,7}:{(37,1),(40,1),(77,1),(82,1),(85,1)}
        59:{1,3,4,5}:{(38,1),(42,1),(78,1),(83,1),(84,1)}
        60:{1,4,6}:{(38,1),(39,1),(79,1),(85,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(82,1),(85,1),(89,1),(161,1),(173,1)}
        62:{1,2,3}:{(86,1)}
        63:{1,3,4}:{(41,1),(86,1),(87,1)}
        64:{2,3,5}:{(41,1),(42,1),(83,1),(87,1),(88,1)}
        65:{1,3,6}:{(42,1),(43,1),(88,1),(89,1)}
        66:{1,2,4,7}:{(43,1),(44,1),(85,1),(89,1),(134,1)}
        67:{1,4,6}:{(45,1),(47,1),(53,1),(90,1)}
        68:{1,4,5}:{(46,1),(54,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(50,1),(55,1),(90,1),(93,1),(94,1),(98,1),(113,1),(151,1)}
        70:{1,3,6,7}:{(47,1),(51,1),(56,1),(91,1),(94,1),(171,1)}
        71:{2,3,4}:{(48,1),(96,1),(97,1)}
        72:{1,3,5}:{(48,1),(49,1),(97,1),(98,1)}
        73:{1,2,4,6}:{(49,1),(50,1),(93,1),(98,1),(99,1),(141,1)}
        74:{1,2,5,7}:{(50,1),(51,1),(94,1),(99,1),(154,1),(168,1)}
        75:{3,4,6}:{(52,1),(53,1),(100,1)}
        76:{2,5,6}:{(53,1),(57,1),(90,1),(100,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(56,1),(58,1),(91,1),(101,1),(103,1),(105,1)}
        78:{3,4,5}:{(54,1),(104,1)}
        79:{2,4,6}:{(54,1),(55,1),(60,1),(93,1),(104,1),(105,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(61,1),(94,1),(103,1),(105,1),(114,1),(145,1),(149,1),(152,1),(168,1)}
        81:{1,4,5,6}:{(57,1),(60,1),(102,1),(107,1),(108,1),(167,1)}
        82:{1,5,7}:{(57,1),(58,1),(103,1)}
        83:{2,4,5}:{(59,1),(64,1),(109,1),(110,1)}
        84:{1,3,4,6}:{(59,1),(60,1),(65,1),(104,1),(107,1),(110,1),(111,1)}
        85:{1,4,7}:{(60,1),(61,1),(105,1)}
        86:{1,2,4}:{(62,1),(63,1),(112,1)}
        87:{1,3,5}:{(63,1),(64,1),(109,1),(112,1),(113,1)}
        88:{2,3,6}:{(64,1),(65,1),(110,1),(113,1),(114,1)}
        89:{1,3,7}:{(65,1),(66,1),(114,1)}
        90:{1,5,6}:{(67,1),(76,1),(116,1)}
        91:{1,4,6,7}:{(67,1),(70,1),(77,1),(116,1),(119,1)}
        92:{1,3,4,5}:{(68,1),(72,1),(78,1),(117,1),(118,1)}
        93:{1,4,6}:{(68,1),(69,1),(79,1),(119,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(74,1),(80,1),(116,1),(119,1),(123,1),(136,1),(165,1)}
        95:{1,2,3}:{(120,1)}
        96:{1,3,4}:{(71,1),(120,1),(121,1)}
        97:{2,3,5}:{(71,1),(72,1),(117,1),(121,1),(122,1)}
        98:{1,3,6}:{(72,1),(73,1),(122,1),(123,1)}
        99:{1,2,4,7}:{(73,1),(74,1),(119,1),(123,1),(159,1)}
       100:{3,5,6}:{(75,1),(76,1),(124,1),(125,1)}
       101:{3,4,6,7}:{(75,1),(77,1),(125,1),(129,1),(162,1),(163,1)}
       102:{2,4,5,6}:{(76,1),(79,1),(81,1),(115,1),(124,1),(127,1),(128,1),(131,1),(156,1)}
       103:{2,5,7}:{(76,1),(77,1),(82,1),(116,1),(125,1)}
       104:{3,4,6}:{(78,1),(79,1),(127,1),(129,1)}
       105:{2,4,7}:{(79,1),(80,1),(85,1),(119,1),(129,1)}
       106:{1,5,6,7}:{(82,1),(126,1),(130,1)}
       107:{1,3,5,6}:{(81,1),(84,1),(127,1),(131,1),(132,1)}
       108:{1,4,5,7}:{(81,1),(82,1),(85,1),(128,1),(130,1),(132,1),(173,1)}
       109:{1,4,5}:{(83,1),(87,1),(133,1)}
       110:{2,4,6}:{(83,1),(84,1),(88,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,7}:{(84,1),(85,1),(89,1),(129,1),(132,1),(134,1)}
       112:{1,2,5}:{(86,1),(87,1),(135,1)}
       113:{1,3,6}:{(87,1),(88,1),(133,1),(135,1),(136,1)}
       114:{2,3,7}:{(88,1),(89,1),(134,1),(136,1)}
       115:{1,4,5,6}:{(90,1),(93,1),(102,1),(138,1),(139,1),(151,1)}
       116:{1,5,7}:{(90,1),(91,1),(103,1)}
       117:{2,4,5}:{(92,1),(97,1),(140,1),(141,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(98,1),(104,1),(138,1),(141,1),(142,1)}
       119:{1,4,7}:{(93,1),(94,1),(105,1)}
       120:{1,2,4}:{(95,1),(96,1),(143,1)}
       121:{1,3,5}:{(96,1),(97,1),(140,1),(143,1),(144,1)}
       122:{2,3,6}:{(97,1),(98,1),(141,1),(144,1),(145,1)}
       123:{1,3,7}:{(98,1),(99,1),(145,1)}
       124:{4,5,6}:{(100,1),(147,1)}
       125:{3,5,7}:{(100,1),(101,1),(103,1),(147,1)}
       126:{2,5,6,7}:{(103,1),(106,1),(137,1),(146,1),(148,1)}
       127:{3,5,6}:{(102,1),(104,1),(149,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(108,1),(139,1),(147,1),(148,1),(149,1),(152,1),(168,1)}
       129:{3,4,7}:{(104,1),(105,1),(149,1)}
       130:{1,4,6,7}:{(106,1),(108,1),(148,1),(150,1),(174,1)}
       131:{2,5,6}:{(107,1),(110,1),(151,1),(152,1)}
       132:{1,3,5,7}:{(107,1),(108,1),(111,1),(149,1),(150,1),(152,1)}
       133:{1,4,6}:{(109,1),(110,1),(113,1),(151,1),(153,1)}
       134:{2,4,7}:{(110,1),(111,1),(114,1),(152,1),(153,1)}
       135:{1,2,6}:{(112,1),(113,1),(154,1)}
       136:{1,3,7}:{(113,1),(114,1),(153,1),(154,1)}
       137:{1,5,6,7}:{(116,1),(126,1),(155,1)}
       138:{1,3,5,6}:{(115,1),(118,1),(127,1),(156,1),(157,1)}
       139:{1,4,5,7}:{(115,1),(116,1),(119,1),(128,1),(155,1),(157,1),(165,1)}
       140:{1,4,5}:{(117,1),(121,1),(158,1)}
       141:{2,4,6}:{(117,1),(118,1),(122,1),(156,1),(158,1),(159,1)}
       142:{1,3,4,7}:{(118,1),(119,1),(123,1),(129,1),(157,1),(159,1)}
       143:{1,2,5}:{(120,1),(121,1),(160,1)}
       144:{1,3,6}:{(121,1),(122,1),(158,1),(160,1),(161,1)}
       145:{2,3,7}:{(122,1),(123,1),(159,1),(161,1)}
       146:{3,5,6,7}:{(125,1),(126,1),(162,1),(163,1)}
       147:{4,5,7}:{(124,1),(125,1),(162,1)}
       148:{2,4,6,7}:{(126,1),(128,1),(130,1),(155,1),(162,1),(163,1),(164,1),(172,1)}
       149:{3,5,7}:{(127,1),(128,1),(129,1),(163,1)}
       150:{1,3,6,7}:{(130,1),(132,1),(163,1),(164,1)}
       151:{1,5,6}:{(131,1),(133,1),(165,1)}
       152:{2,5,7}:{(131,1),(132,1),(134,1),(164,1),(165,1)}
       153:{1,4,7}:{(133,1),(134,1),(136,1),(165,1)}
       154:{1,2,7}:{(135,1),(136,1)}
       155:{1,4,6,7}:{(137,1),(139,1),(148,1),(166,1),(171,1)}
       156:{2,5,6}:{(138,1),(141,1),(167,1),(168,1)}
       157:{1,3,5,7}:{(138,1),(139,1),(142,1),(149,1),(166,1),(168,1)}
       158:{1,4,6}:{(140,1),(141,1),(144,1),(167,1),(169,1)}
       159:{2,4,7}:{(141,1),(142,1),(145,1),(168,1),(169,1)}
       160:{1,2,6}:{(143,1),(144,1),(170,1)}
       161:{1,3,7}:{(144,1),(145,1),(169,1),(170,1)}
       162:{4,6,7}:{(146,1),(147,1)}
       163:{3,6,7}:{(148,1),(149,1)}
       164:{2,6,7}:{(150,1),(152,1),(171,1)}
       165:{1,5,7}:{(151,1),(152,1),(153,1),(171,1)}
       166:{1,3,6,7}:{(155,1),(157,1),(163,1),(172,1)}
       167:{1,5,6}:{(156,1),(158,1),(173,1)}
       168:{2,5,7}:{(156,1),(157,1),(159,1),(172,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(161,1),(173,1)}
       170:{1,2,7}:{(160,1),(161,1)}
       171:{1,6,7}:{(164,1),(165,1)}
       172:{2,6,7}:{(166,1),(168,1),(174,1)}
       173:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1695 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{1,2,3}:{(5,1)}
        3:{1,3,4}:{(1,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{1,2,4}:{(2,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(9,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{1,3,4}:{(5,1),(6,1),(15,1)}
       10:{1,2,5}:{(5,1),(15,1),(16,1)}
       11:{2,3,5}:{(6,1),(7,1),(15,1),(17,1),(18,1)}
       12:{1,4,5}:{(7,1),(17,1),(19,1)}
       13:{1,3,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       14:{1,2,7}:{(8,1),(20,1)}
       15:{1,3,5}:{(9,1),(10,1),(11,1),(21,1),(22,1)}
       16:{1,2,6}:{(10,1),(22,1),(23,1)}
       17:{2,4,5}:{(11,1),(12,1),(21,1),(24,1),(25,1)}
       18:{2,3,6}:{(11,1),(13,1),(22,1),(25,1),(26,1)}
       19:{1,4,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,7}:{(13,1),(14,1),(26,1),(28,1)}
       21:{1,4,5}:{(15,1),(17,1),(29,1)}
       22:{1,3,6}:{(15,1),(16,1),(18,1),(29,1),(30,1)}
       23:{1,2,7}:{(16,1),(30,1)}
       24:{3,4,5}:{(17,1),(31,1)}
       25:{2,4,6}:{(17,1),(18,1),(19,1),(29,1),(31,1),(32,1),(33,1)}
       26:{2,3,7}:{(18,1),(20,1),(30,1),(33,1)}
       27:{1,5,6}:{(19,1),(32,1),(34,1)}
       28:{1,4,7}:{(19,1),(20,1),(33,1),(34,1)}
       29:{1,4,6}:{(21,1),(22,1),(25,1),(35,1),(36,1)}
       30:{1,3,7}:{(22,1),(23,1),(26,1),(36,1)}
       31:{3,4,6}:{(24,1),(25,1),(37,1),(38,1)}
       32:{2,5,6}:{(25,1),(27,1),(35,1),(37,1),(39,1)}
       33:{2,4,7}:{(25,1),(26,1),(28,1),(36,1),(38,1),(39,1)}
       34:{1,5,7}:{(27,1),(28,1),(39,1),(40,1)}
       35:{1,5,6}:{(29,1),(32,1),(41,1)}
       36:{1,4,7}:{(29,1),(30,1),(33,1),(41,1)}
       37:{3,5,6}:{(31,1),(32,1),(42,1),(43,1)}
       38:{3,4,7}:{(31,1),(33,1),(43,1)}
       39:{2,5,7}:{(32,1),(33,1),(34,1),(41,1),(43,1),(44,1)}
       40:{1,6,7}:{(34,1),(44,1)}
       41:{1,5,7}:{(35,1),(36,1),(39,1),(45,1)}
       42:{4,5,6}:{(37,1),(46,1)}
       43:{3,5,7}:{(37,1),(38,1),(39,1),(46,1),(47,1)}
       44:{2,6,7}:{(39,1),(40,1),(45,1),(47,1)}
       45:{1,6,7}:{(41,1),(44,1)}
       46:{4,5,7}:{(42,1),(43,1),(48,1)}
       47:{3,6,7}:{(43,1),(44,1),(48,1)}
       48:{4,6,7}:{(46,1),(47,1),(49,1)}
       49:{5,6,7}:{(48,1)}

1696 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1697 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1698 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1699 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(13,1),(24,1),(26,1),(29,1),(39,1),(41,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(17,1),(20,1),(31,1),(50,1)}
        2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(49,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(29,1),(39,1),(44,1),(54,1)}
        4:{1,4,6,7}:{(1,1),(8,1),(10,1),(24,1),(27,1),(57,1)}
        5:{2,5,7}:{(1,1),(2,1),(10,1),(11,1),(56,1)}
        6:{1,3,5,6}:{(2,1),(11,1),(13,1),(29,1)}
        7:{1,4,5,7}:{(2,1),(12,1),(13,1),(24,1),(40,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(4,1),(14,1),(15,1),(36,1),(52,1),(60,1)}
        9:{2,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(21,1),(37,1),(48,1),(59,1)}
       10:{1,5,7}:{(4,1),(5,1),(18,1),(62,1)}
       11:{2,5,6}:{(5,1),(6,1),(18,1),(20,1)}
       12:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(21,1),(31,1),(34,1),(37,1),(46,1)}
       13:{1,4,6}:{(6,1),(7,1),(20,1),(52,1)}
       14:{2,6,7}:{(8,1),(22,1),(44,1),(65,1)}
       15:{1,3,5,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(24,1),(39,1),(45,1),(55,1),(64,1)}
       16:{2,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(29,1),(43,1),(44,1),(54,1),(56,1)}
       17:{2,4,7}:{(9,1),(24,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(11,1),(27,1)}
       19:{1,4,5,7}:{(10,1),(12,1),(24,1),(27,1),(28,1),(40,1)}
       20:{2,4,6}:{(11,1),(12,1),(13,1),(27,1),(29,1),(44,1)}
       21:{3,5,7}:{(12,1),(26,1),(29,1),(39,1),(43,1),(53,1)}
       22:{2,5,7}:{(14,1),(15,1),(30,1),(31,1),(61,1),(67,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(18,1),(30,1),(32,1),(36,1),(47,1),(49,1),(52,1),(60,1),(62,1)}
       24:{1,4,7}:{(15,1),(17,1),(31,1),(32,1),(66,1)}
       25:{2,4,6}:{(16,1),(17,1),(32,1),(34,1),(35,1)}
       26:{3,4,7}:{(17,1),(21,1),(35,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{1,3,5,7}:{(19,1),(21,1),(33,1),(36,1),(37,1),(49,1)}
       29:{3,6}:{(20,1),(21,1)}
       30:{2,5,6}:{(22,1),(23,1),(38,1),(44,1),(56,1),(65,1)}
       31:{2,4,7}:{(22,1),(24,1),(38,1),(39,1),(68,1)}
       32:{1,4,6}:{(23,1),(24,1),(25,1),(38,1),(40,1)}
       33:{1,3,4,7}:{(24,1),(26,1),(28,1),(39,1),(41,1),(42,1),(55,1)}
       34:{2,4,5}:{(25,1),(40,1),(43,1),(56,1),(68,1)}
       35:{3,4,6}:{(25,1),(26,1),(29,1),(43,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(28,1),(42,1),(44,1),(45,1),(56,1)}
       38:{2,4,6}:{(30,1),(31,1),(32,1),(46,1),(47,1)}
       39:{3,7}:{(31,1),(47,1),(69,1)}
       40:{1,4,5}:{(32,1),(34,1),(46,1),(49,1),(62,1),(66,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(49,1),(50,1),(58,1),(60,1),(66,1),(69,1)}
       42:{2,4,7}:{(33,1),(37,1),(48,1),(50,1),(51,1),(61,1)}
       43:{3,5}:{(34,1),(35,1),(69,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(62,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(56,1),(63,1)}
       47:{3,6}:{(38,1),(39,1),(53,1)}
       48:{2,3,7}:{(39,1),(42,1),(54,1),(55,1)}
       49:{1,3,5}:{(40,1),(41,1),(43,1),(53,1),(56,1)}
       50:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(56,1),(57,1),(63,1),(65,1),(68,1)}
       51:{1,4,7}:{(42,1),(45,1),(55,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(47,1),(58,1)}
       54:{2,3,6}:{(47,1),(48,1),(50,1),(59,1),(60,1),(69,1)}
       55:{1,3,7}:{(48,1),(51,1),(60,1),(61,1)}
       56:{2,5}:{(49,1),(50,1),(62,1)}
       57:{1,4,6}:{(50,1),(51,1),(52,1),(60,1),(62,1),(66,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(56,1),(63,1),(64,1)}
       60:{1,3,6}:{(54,1),(55,1),(57,1),(64,1),(65,1)}
       61:{2,7}:{(55,1),(65,1)}
       62:{1,5}:{(56,1),(57,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(62,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(60,1),(61,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1700 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(20,1),(35,1),(52,1),(76,1),(88,1),(90,1),(128,1),(135,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(27,1),(57,1),(63,1),(65,1),(73,1),(106,1),(115,1),(118,1),(164,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(34,1),(72,1),(155,1),(163,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(34,1),(71,1),(72,1)}
         4:{2,4,6,7}:{(1,1),(11,1),(12,1),(42,1),(43,1),(135,1),(145,1),(148,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(44,1),(97,1),(134,1),(188,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(48,1),(90,1),(92,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(16,1),(76,1),(127,1)}
         8:{1,3,5,6,7}:{(3,1),(13,1),(17,1),(18,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(53,1),(57,1),(58,1),(73,1),(123,1),(164,1),(165,1),(166,1),(174,1),(207,1),(229,1),(241,1)}
        11:{2,3,6,7}:{(4,1),(21,1),(24,1),(65,1),(108,1),(171,1),(229,1)}
        12:{2,5,7}:{(4,1),(5,1),(25,1),(163,1)}
        13:{1,3,5,6}:{(5,1),(6,1),(25,1),(27,1),(65,1),(118,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(7,1),(26,1),(27,1),(57,1),(105,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(30,1)}
        16:{3,4,5,7}:{(7,1),(30,1),(34,1),(101,1),(155,1)}
        17:{2,5,6,7}:{(8,1),(25,1),(31,1),(72,1),(123,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(27,1),(31,1),(32,1)}
        19:{2,4,5,7}:{(9,1),(29,1),(32,1),(34,1),(72,1),(174,1)}
        20:{3,4,6,7}:{(9,1),(30,1),(34,1)}
        21:{1,3,6,7}:{(10,1),(11,1),(35,1),(37,1),(81,1),(137,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(12,1),(37,1),(38,1),(74,1),(97,1),(150,1),(188,1),(223,1),(237,1)}
        23:{2,3,4,6,7}:{(11,1),(36,1),(40,1),(42,1),(84,1),(87,1),(129,1),(135,1),(140,1),(178,1),(185,1),(244,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(41,1),(42,1),(44,1),(237,1),(244,1)}
        25:{2,5,6}:{(12,1),(13,1),(43,1),(148,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(42,1),(43,1),(44,1),(86,1)}
        27:{1,4,6}:{(13,1),(14,1),(15,1),(43,1)}
        28:{1,3,4,5,7}:{(14,1),(16,1),(44,1),(46,1),(47,1),(51,1),(80,1),(91,1),(94,1),(134,1),(142,1),(149,1),(191,1),(195,1),(225,1)}
        29:{2,4,5,6}:{(15,1),(19,1),(45,1),(48,1),(92,1),(127,1),(194,1)}
        30:{3,4,6}:{(15,1),(16,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(43,1),(49,1),(50,1)}
        32:{1,4,5,7}:{(18,1),(19,1),(45,1),(49,1),(51,1),(97,1),(149,1)}
        33:{1,3,4,6,7}:{(18,1),(20,1),(46,1),(50,1),(51,1),(52,1),(94,1),(96,1),(149,1),(195,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(108,1),(123,1),(153,1),(205,1)}
        36:{1,3,4,6,7}:{(21,1),(23,1),(53,1),(55,1),(57,1),(101,1),(103,1),(106,1),(153,1),(157,1),(164,1),(200,1),(207,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(57,1)}
        38:{1,2,5,6}:{(22,1),(25,1),(56,1),(58,1),(98,1),(120,1),(163,1),(166,1),(173,1),(208,1),(209,1),(231,1)}
        39:{1,2,4,5,7}:{(22,1),(26,1),(57,1),(58,1),(59,1),(69,1),(99,1),(105,1),(107,1),(119,1),(162,1),(163,1),(165,1),(174,1),(201,1),(209,1),(211,1),(232,1),(234,1),(241,1)}
        40:{2,3,5,7}:{(23,1),(55,1),(60,1),(61,1),(113,1),(163,1),(167,1),(206,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(56,1),(62,1),(65,1),(108,1),(113,1),(163,1),(231,1),(233,1),(242,1)}
        42:{2,4,7}:{(24,1),(57,1),(62,1),(63,1)}
        43:{2,4,6}:{(25,1),(26,1),(27,1),(65,1)}
        44:{3,5,7}:{(26,1),(63,1),(65,1),(113,1)}
        45:{1,4,5,6}:{(27,1),(29,1),(32,1),(64,1),(67,1),(105,1),(120,1),(172,1)}
        46:{1,3,4,6}:{(27,1),(28,1),(30,1),(65,1),(67,1),(68,1),(116,1),(118,1),(172,1),(213,1)}
        47:{2,4,5,7}:{(28,1),(66,1),(68,1),(69,1),(72,1),(107,1),(119,1),(121,1),(163,1),(168,1),(174,1),(211,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(155,1),(213,1)}
        49:{2,4,5,7}:{(31,1),(32,1),(64,1),(70,1),(72,1),(121,1)}
        50:{3,6,7}:{(31,1),(65,1),(70,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(34,1),(67,1),(70,1),(72,1)}
        52:{2,4,6,7}:{(33,1),(68,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(125,1),(135,1),(183,1),(219,1)}
        54:{2,3,5,7}:{(35,1),(37,1),(74,1),(75,1),(76,1),(126,1),(150,1),(195,1)}
        55:{1,3,5,7}:{(36,1),(40,1),(74,1),(77,1),(78,1),(126,1),(134,1),(188,1),(223,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(41,1),(75,1),(79,1),(81,1),(134,1),(137,1),(188,1),(224,1)}
        57:{1,4,7}:{(37,1),(42,1),(76,1),(79,1)}
        58:{1,2,4,6}:{(38,1),(39,1),(43,1),(79,1),(81,1),(93,1),(125,1),(135,1),(148,1),(187,1),(194,1),(219,1),(238,1)}
        59:{1,3,5,7}:{(39,1),(44,1),(80,1),(81,1),(82,1),(126,1),(134,1),(190,1),(195,1),(224,1),(225,1),(239,1),(244,1)}
        60:{2,3,5,6}:{(40,1),(77,1),(84,1),(141,1),(178,1),(186,1)}
        61:{2,4,5,7}:{(40,1),(42,1),(78,1),(84,1),(85,1),(86,1)}
        62:{2,4,6}:{(41,1),(42,1),(79,1),(86,1),(87,1),(240,1)}
        63:{3,4,7}:{(42,1),(44,1),(87,1),(244,1)}
        64:{2,4,5,6}:{(43,1),(45,1),(49,1),(86,1),(89,1),(92,1),(146,1)}
        65:{3,6}:{(43,1),(44,1)}
        66:{2,3,5,7}:{(44,1),(47,1),(88,1),(90,1),(91,1),(143,1),(195,1),(225,1)}
        67:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(89,1),(92,1),(134,1)}
        68:{2,4,6}:{(46,1),(47,1),(90,1),(92,1),(93,1),(148,1)}
        69:{1,4,5,7}:{(47,1),(91,1),(93,1),(97,1),(136,1),(149,1),(188,1),(191,1)}
        70:{3,5,7}:{(49,1),(50,1),(89,1),(94,1)}
        71:{2,3,6,7}:{(50,1),(52,1),(90,1),(95,1),(96,1),(195,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(52,1),(93,1),(96,1),(97,1),(149,1)}
        74:{2,5,7}:{(53,1),(55,1),(98,1),(163,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(98,1),(100,1),(108,1),(153,1),(155,1),(163,1),(173,1),(212,1),(213,1)}
        76:{2,4,7}:{(54,1),(57,1),(100,1),(101,1)}
        77:{1,3,5,6}:{(55,1),(60,1),(98,1),(103,1),(153,1),(200,1),(208,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(61,1),(99,1),(103,1),(105,1)}
        79:{1,4,6}:{(56,1),(57,1),(62,1),(100,1),(105,1),(234,1)}
        80:{1,3,4,7}:{(57,1),(59,1),(63,1),(101,1),(106,1),(107,1),(234,1),(235,1),(243,1)}
        81:{1,3,6}:{(58,1),(59,1),(65,1),(108,1),(153,1),(213,1),(242,1)}
        82:{2,3,5,7}:{(59,1),(107,1),(108,1),(109,1),(119,1),(163,1),(171,1),(201,1),(205,1),(212,1),(233,1)}
        83:{2,3,5,6,7}:{(60,1),(102,1),(110,1),(167,1),(197,1),(206,1)}
        84:{2,4,6}:{(60,1),(61,1),(103,1),(112,1)}
        85:{3,4,5,7}:{(61,1),(63,1),(112,1),(113,1),(167,1)}
        86:{2,4,5}:{(62,1),(105,1),(113,1),(163,1)}
        87:{3,4,6}:{(62,1),(63,1),(65,1),(113,1),(242,1),(243,1)}
        88:{2,3,4,7}:{(63,1),(66,1),(107,1),(114,1),(115,1),(121,1),(205,1),(235,1)}
        89:{3,5,6}:{(64,1),(65,1),(70,1),(113,1),(116,1)}
        90:{2,3,6}:{(65,1),(66,1),(68,1),(118,1),(213,1)}
        91:{1,3,5,7}:{(66,1),(69,1),(115,1),(118,1),(119,1),(169,1)}
        92:{2,5,6}:{(67,1),(68,1),(72,1),(120,1),(163,1)}
        93:{1,4,6}:{(68,1),(69,1),(118,1),(120,1)}
        94:{3,4,7}:{(70,1),(116,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(117,1),(121,1),(122,1)}
        96:{1,3,6,7}:{(71,1),(73,1),(118,1),(122,1),(123,1)}
        97:{1,5,7}:{(72,1),(73,1),(120,1)}
        98:{2,5,6}:{(74,1),(77,1),(125,1),(219,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(125,1),(126,1),(127,1)}
       100:{2,4,6}:{(75,1),(76,1),(79,1),(127,1),(128,1),(226,1)}
       101:{3,4,7}:{(76,1),(126,1),(128,1),(195,1)}
       102:{1,3,5,6,7}:{(77,1),(83,1),(124,1),(130,1),(176,1),(184,1),(216,1),(223,1)}
       103:{1,4,6}:{(77,1),(78,1),(84,1),(125,1)}
       104:{1,3,4,5,7}:{(78,1),(80,1),(85,1),(126,1),(132,1),(133,1),(134,1),(179,1),(180,1),(184,1),(214,1),(220,1),(236,1),(239,1),(244,1)}
       105:{1,4,5}:{(79,1),(86,1),(127,1),(134,1),(188,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(81,1),(87,1),(128,1),(134,1),(135,1)}
       107:{2,4,7}:{(80,1),(82,1),(135,1),(136,1),(226,1),(240,1)}
       108:{2,3,6}:{(81,1),(82,1),(135,1),(137,1),(148,1),(219,1)}
       109:{1,3,5,7}:{(82,1),(136,1),(137,1),(138,1),(188,1),(190,1),(224,1)}
       110:{2,4,6,7}:{(83,1),(84,1),(130,1),(139,1),(140,1)}
       111:{2,4,5,6}:{(84,1),(86,1),(131,1),(139,1),(141,1),(186,1),(238,1)}
       112:{3,4,6}:{(84,1),(85,1),(141,1)}
       113:{3,5}:{(86,1),(87,1)}
       114:{2,3,4,6}:{(87,1),(88,1),(90,1),(135,1),(143,1),(144,1),(146,1),(222,1),(240,1)}
       115:{1,3,4,7}:{(88,1),(91,1),(136,1),(144,1),(145,1),(149,1),(190,1),(195,1)}
       116:{3,4,6}:{(89,1),(94,1),(142,1),(146,1)}
       117:{2,3,5,6}:{(89,1),(90,1),(92,1),(95,1),(143,1),(146,1),(147,1)}
       118:{1,3,6}:{(90,1),(91,1),(93,1),(148,1)}
       119:{2,5,7}:{(91,1),(145,1),(148,1),(192,1)}
       120:{1,5,6}:{(92,1),(93,1),(97,1),(188,1)}
       121:{2,4,7}:{(94,1),(95,1),(146,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(147,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(96,1),(148,1),(150,1)}
       124:{2,5,6,7}:{(98,1),(102,1),(151,1),(206,1),(229,1)}
       125:{2,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(99,1),(101,1),(153,1),(155,1)}
       127:{2,4,5}:{(100,1),(105,1),(155,1),(163,1)}
       128:{3,4,6}:{(100,1),(101,1),(153,1),(155,1),(213,1),(235,1)}
       129:{2,3,4,7}:{(101,1),(107,1),(154,1),(156,1),(157,1),(171,1),(227,1),(243,1)}
       130:{1,4,6,7}:{(102,1),(103,1),(110,1),(151,1),(158,1)}
       131:{1,4,5,6}:{(103,1),(105,1),(111,1),(152,1),(158,1),(160,1),(208,1),(230,1)}
       132:{1,3,4,6}:{(103,1),(104,1),(112,1),(153,1),(160,1),(161,1),(198,1),(200,1),(230,1),(242,1)}
       133:{2,4,5,7}:{(104,1),(107,1),(154,1),(161,1),(162,1),(163,1),(201,1),(202,1),(206,1),(227,1),(232,1),(241,1)}
       134:{1,3,5}:{(105,1),(106,1),(113,1),(155,1),(163,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(163,1),(164,1)}
       136:{1,4,7}:{(107,1),(109,1),(164,1),(234,1)}
       137:{1,3,6}:{(108,1),(109,1),(164,1),(166,1)}
       138:{1,2,5,7}:{(109,1),(119,1),(165,1),(166,1),(201,1),(209,1)}
       139:{2,4,5,7}:{(110,1),(111,1),(158,1),(167,1),(206,1),(241,1)}
       140:{3,4,6,7}:{(110,1),(112,1),(167,1)}
       141:{3,5,6}:{(111,1),(112,1),(113,1),(167,1),(242,1)}
       142:{3,4,5}:{(113,1),(116,1),(168,1),(243,1)}
       143:{2,3,5}:{(113,1),(114,1),(163,1),(168,1),(169,1)}
       144:{1,3,4,6}:{(114,1),(115,1),(118,1),(164,1),(169,1),(170,1),(172,1),(210,1),(213,1),(234,1),(235,1)}
       145:{2,4,7}:{(115,1),(119,1),(170,1),(171,1)}
       146:{2,4,6}:{(116,1),(117,1),(121,1),(168,1),(172,1)}
       147:{1,3,5,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(172,1),(173,1),(213,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{1,4,7}:{(121,1),(122,1),(172,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(173,1),(174,1)}
       151:{2,4,6,7}:{(124,1),(125,1),(130,1),(175,1),(176,1)}
       152:{2,4,5,6}:{(125,1),(127,1),(131,1),(175,1),(177,1),(186,1),(217,1)}
       153:{3,6}:{(125,1),(126,1)}
       154:{2,3,5,7}:{(126,1),(129,1),(133,1),(178,1),(179,1),(181,1),(239,1),(244,1)}
       155:{3,5}:{(127,1),(128,1)}
       156:{2,3,4,6}:{(128,1),(129,1),(135,1),(178,1),(181,1),(182,1),(193,1),(217,1),(226,1)}
       157:{1,3,4,7}:{(129,1),(136,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(139,1),(175,1),(184,1),(223,1),(236,1)}
       159:{1,3,4,6,7}:{(130,1),(132,1),(140,1),(176,1),(184,1),(185,1),(214,1),(216,1),(236,1),(244,1)}
       160:{1,3,5,6}:{(131,1),(132,1),(134,1),(141,1),(177,1),(184,1),(186,1)}
       161:{2,4,6}:{(132,1),(133,1),(178,1),(186,1),(187,1),(219,1)}
       162:{1,4,5,7}:{(133,1),(136,1),(179,1),(187,1),(188,1),(220,1),(223,1),(236,1)}
       163:{2,5}:{(134,1),(135,1),(188,1)}
       164:{1,4,6}:{(135,1),(136,1),(137,1),(188,1)}
       165:{1,2,4,7}:{(136,1),(138,1),(145,1),(183,1),(189,1),(190,1)}
       166:{1,2,6}:{(137,1),(138,1),(148,1),(219,1)}
       167:{3,5,7}:{(139,1),(140,1),(141,1),(244,1)}
       168:{2,4,5}:{(142,1),(143,1),(146,1),(191,1),(240,1)}
       169:{1,3,5}:{(143,1),(144,1),(188,1),(191,1),(192,1),(225,1)}
       170:{2,4,6}:{(144,1),(145,1),(148,1),(192,1),(193,1),(226,1)}
       171:{2,3,7}:{(145,1),(190,1),(193,1),(195,1)}
       172:{1,4,6}:{(146,1),(147,1),(149,1),(191,1),(194,1)}
       173:{2,5,6}:{(147,1),(148,1),(150,1),(192,1),(194,1)}
       174:{2,4,7}:{(149,1),(150,1),(194,1),(195,1)}
       175:{2,4,5,7}:{(151,1),(152,1),(158,1),(196,1),(206,1),(227,1)}
       176:{3,6,7}:{(151,1),(153,1),(196,1)}
       177:{3,5,6}:{(152,1),(153,1),(155,1),(196,1),(198,1)}
       178:{2,3,6}:{(153,1),(154,1),(161,1),(200,1),(242,1)}
       179:{1,3,5,7}:{(154,1),(157,1),(162,1),(200,1),(201,1),(203,1)}
       180:{3,4,5}:{(155,1),(198,1),(202,1),(235,1)}
       181:{2,3,5}:{(155,1),(156,1),(163,1),(202,1),(203,1)}
       182:{1,3,4,6}:{(156,1),(157,1),(164,1),(200,1),(203,1),(204,1),(210,1),(230,1),(234,1),(242,1),(243,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(160,1),(167,1),(196,1),(206,1)}
       185:{2,4,6,7}:{(159,1),(161,1),(197,1),(206,1),(207,1),(227,1),(229,1),(241,1)}
       186:{2,5,6}:{(160,1),(161,1),(163,1),(206,1),(208,1)}
       187:{1,4,6}:{(161,1),(162,1),(200,1),(208,1)}
       188:{1,5}:{(163,1),(164,1)}
       189:{1,2,4,6}:{(164,1),(165,1),(166,1),(170,1),(204,1),(209,1),(210,1),(234,1)}
       190:{1,3,7}:{(165,1),(171,1),(205,1),(210,1)}
       191:{1,4,5}:{(168,1),(169,1),(172,1),(211,1),(234,1)}
       192:{2,5}:{(169,1),(170,1)}
       193:{2,3,6}:{(170,1),(171,1),(210,1),(212,1),(213,1)}
       194:{2,4,6}:{(172,1),(173,1),(174,1),(211,1),(213,1)}
       195:{3,7}:{(174,1),(213,1)}
       196:{3,5,7}:{(175,1),(176,1),(177,1),(214,1)}
       197:{2,3,6,7}:{(176,1),(178,1),(185,1),(215,1),(216,1),(244,1)}
       198:{3,4,6}:{(177,1),(180,1),(214,1),(217,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(186,1),(215,1),(217,1),(218,1)}
       200:{1,3,6}:{(178,1),(179,1),(187,1),(219,1)}
       201:{2,5,7}:{(179,1),(183,1),(219,1),(221,1)}
       202:{2,4,5}:{(180,1),(181,1),(217,1),(220,1),(226,1)}
       203:{1,3,5}:{(181,1),(182,1),(188,1),(220,1),(221,1),(239,1)}
       204:{2,4,6}:{(182,1),(183,1),(219,1),(221,1),(222,1),(240,1)}
       205:{2,3,7}:{(183,1),(190,1),(222,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(186,1),(223,1)}
       207:{1,4,6,7}:{(185,1),(187,1),(216,1),(223,1),(236,1)}
       208:{1,5,6}:{(186,1),(187,1),(188,1),(223,1)}
       209:{1,2,5}:{(188,1),(189,1),(192,1),(221,1),(224,1)}
       210:{1,3,6}:{(189,1),(190,1),(193,1),(222,1),(224,1)}
       211:{2,4,5}:{(191,1),(192,1),(194,1),(225,1),(226,1)}
       212:{2,3,5}:{(192,1),(193,1),(224,1),(225,1),(226,1)}
       213:{3,6}:{(194,1),(195,1),(225,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,3,5,7}:{(196,1),(197,1),(199,1),(206,1),(227,1),(228,1)}
       216:{1,3,6,7}:{(197,1),(200,1),(207,1),(228,1),(229,1)}
       217:{2,4,6}:{(198,1),(199,1),(202,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(208,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,6}:{(200,1),(201,1)}
       220:{1,4,5}:{(202,1),(203,1),(230,1),(232,1),(234,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(205,1),(210,1),(233,1),(242,1)}
       223:{1,5,7}:{(206,1),(207,1),(208,1)}
       224:{1,3,5}:{(209,1),(210,1),(212,1),(233,1),(234,1)}
       225:{3,5}:{(211,1),(213,1),(235,1)}
       226:{2,4}:{(212,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,3,5,7}:{(215,1),(216,1),(218,1),(223,1),(236,1),(237,1),(244,1)}
       229:{2,6,7}:{(216,1),(219,1),(237,1)}
       230:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(238,1)}
       231:{2,5,6}:{(218,1),(219,1),(221,1),(237,1),(238,1)}
       232:{2,4,5}:{(220,1),(221,1),(238,1),(239,1),(240,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(239,1),(240,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,5,7}:{(228,1),(229,1),(231,1),(241,1)}
       238:{2,4,6}:{(230,1),(231,1),(232,1),(241,1),(242,1)}
       239:{3,5}:{(232,1),(242,1),(243,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(238,1),(244,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{3,4}:{(239,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1701 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1702 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1703 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(48,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(31,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(67,1),(105,1),(106,1),(110,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(46,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(133,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(89,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(29,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(118,1),(141,1),(151,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(29,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(30,1),(32,1),(33,1),(62,1),(66,1),(104,1),(110,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(68,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(46,1),(83,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(89,1),(132,1),(160,1),(164,1),(171,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(46,1),(129,1),(138,1),(156,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(46,1),(47,1),(127,1),(134,1)}
        31:{1,3,6,7}:{(17,1),(44,1),(47,1),(48,1),(124,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(46,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(47,1),(50,1),(51,1),(84,1),(89,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(91,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(68,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(31,1),(64,1),(69,1),(105,1)}
        45:{2,4,5}:{(28,1),(32,1),(66,1),(67,1),(110,1),(150,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(69,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(33,1),(64,1),(69,1),(70,1),(113,1)}
        48:{1,2,6,7}:{(31,1),(70,1),(143,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(68,1),(71,1),(104,1),(115,1),(150,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,2,5,6}:{(33,1),(70,1),(72,1),(110,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(112,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(91,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(48,1),(56,1),(82,1),(87,1),(88,1),(92,1),(125,1),(129,1),(133,1),(157,1),(172,1)}
        66:{2,3,5}:{(45,1),(49,1),(89,1),(164,1),(171,1),(173,1)}
        67:{1,4,5}:{(45,1),(50,1),(89,1),(163,1)}
        68:{2,3,4,7}:{(46,1),(49,1),(85,1),(91,1),(134,1),(138,1),(156,1),(162,1)}
        69:{1,4,7}:{(46,1),(47,1),(50,1)}
        70:{1,2,5,7}:{(47,1),(48,1),(51,1),(92,1),(127,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(132,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(134,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(112,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(68,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(69,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(113,1),(144,1),(151,1),(167,1)}
        89:{1,3,5}:{(66,1),(67,1),(71,1),(110,1),(174,1)}
        90:{1,2,4,5}:{(67,1),(72,1),(110,1),(111,1),(150,1)}
        91:{1,3,4,7}:{(68,1),(69,1),(71,1),(107,1),(112,1),(113,1),(151,1),(170,1)}
        92:{1,2,4,7}:{(69,1),(70,1),(72,1),(112,1),(113,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(150,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(134,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,5}:{(89,1),(93,1)}
       111:{1,3,5}:{(90,1),(94,1),(131,1),(132,1)}
       112:{2,4,7}:{(91,1),(93,1),(127,1),(134,1)}
       113:{1,3,7}:{(92,1),(94,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(133,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,5}:{(110,1),(114,1),(149,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(115,1),(149,1),(150,1)}
       132:{1,3,4}:{(111,1),(150,1)}
       133:{1,2,4,7}:{(112,1),(114,1),(146,1),(151,1),(170,1)}
       134:{2,3,7}:{(112,1),(113,1),(115,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(151,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(133,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(134,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(132,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,5}:{(130,1),(131,1),(135,1),(163,1)}
       150:{2,4}:{(131,1),(132,1),(163,1)}
       151:{1,3,7}:{(133,1),(134,1),(135,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(170,1)}
       163:{1,4}:{(149,1),(150,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1704 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1705 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1706 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(108,1),(110,1),(123,1),(126,1),(164,1),(172,1),(224,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(87,1),(89,1),(96,1),(98,1),(153,1),(156,1),(202,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(41,1),(85,1),(193,1),(201,1),(245,1)}
         3:{2,4,5,7}:{(1,1),(8,1),(9,1),(33,1),(70,1),(72,1),(183,1),(187,1)}
         4:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1),(27,1),(65,1),(73,1),(230,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(60,1),(110,1),(126,1),(129,1),(167,1),(175,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(220,1),(229,1)}
         7:{1,2,4,5,7}:{(3,1),(14,1),(15,1),(40,1),(45,1),(83,1),(87,1),(89,1),(135,1),(202,1),(203,1),(206,1),(248,1)}
         8:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(48,1),(213,1),(217,1)}
         9:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(43,1),(54,1),(89,1),(98,1),(101,1),(156,1),(160,1),(205,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(21,1),(53,1),(254,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(196,1),(204,1)}
        13:{2,4,5,6}:{(6,1),(21,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(63,1),(164,1),(232,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(27,1),(29,1),(59,1),(65,1),(163,1),(230,1),(269,1)}
        16:{2,3,4,7}:{(8,1),(26,1),(30,1),(72,1),(240,1)}
        17:{2,3,6}:{(8,1),(9,1),(27,1)}
        18:{2,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(72,1),(187,1),(191,1)}
        19:{2,5,6}:{(9,1),(11,1),(33,1)}
        20:{1,3,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(75,1),(233,1)}
        21:{1,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(65,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(81,1),(129,1),(132,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(36,1),(38,1),(39,1),(110,1)}
        24:{3,4,5,6}:{(13,1),(39,1),(111,1),(220,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(83,1),(248,1),(249,1),(253,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(40,1),(42,1),(89,1),(138,1),(257,1)}
        27:{1,3,6}:{(14,1),(15,1),(17,1),(41,1),(193,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(82,1),(89,1),(205,1),(206,1),(208,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(44,1),(45,1),(83,1),(134,1),(254,1)}
        30:{2,3,4,6}:{(16,1),(17,1),(42,1),(48,1),(50,1)}
        31:{2,3,6,7}:{(17,1),(18,1),(43,1),(49,1),(101,1),(217,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(44,1),(48,1),(49,1),(50,1),(53,1)}
        33:{2,5,7}:{(18,1),(19,1),(20,1)}
        34:{2,4,5,6}:{(19,1),(21,1),(50,1),(52,1),(53,1)}
        35:{1,3,5,6,7}:{(20,1),(22,1),(51,1),(54,1),(101,1),(160,1),(162,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(23,1),(52,1),(54,1),(89,1)}
        37:{1,3,4,5,6}:{(21,1),(24,1),(53,1),(55,1),(56,1),(90,1),(103,1),(200,1),(209,1),(260,1),(293,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(54,1),(58,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(58,1),(138,1),(196,1)}
        40:{2,4,7}:{(25,1),(26,1),(59,1),(271,1)}
        41:{2,3,6}:{(25,1),(27,1),(59,1),(269,1)}
        42:{1,3,4,6}:{(26,1),(27,1),(30,1),(59,1),(63,1),(65,1),(111,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(31,1),(60,1),(64,1),(235,1)}
        44:{1,3,5,6}:{(27,1),(29,1),(32,1),(61,1),(63,1),(64,1),(65,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(33,1),(64,1),(107,1),(233,1)}
        46:{1,2,4,5,6}:{(29,1),(34,1),(65,1),(67,1),(68,1),(80,1),(108,1),(117,1),(131,1),(163,1),(170,1),(173,1),(177,1),(223,1),(229,1),(230,1),(269,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,3,4,6,7}:{(30,1),(31,1),(62,1),(69,1),(72,1),(121,1),(125,1),(168,1),(175,1),(221,1)}
        48:{2,3,5}:{(30,1),(63,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(64,1),(72,1),(75,1)}
        50:{2,4,6}:{(32,1),(65,1),(70,1),(72,1),(73,1)}
        51:{2,5,6,7}:{(33,1),(35,1),(74,1),(191,1)}
        52:{2,4,5,7}:{(33,1),(34,1),(36,1),(72,1),(74,1),(75,1)}
        53:{3,5,6}:{(34,1),(73,1),(75,1)}
        54:{1,4,6,7}:{(35,1),(36,1),(38,1),(74,1)}
        55:{1,3,4,5,7}:{(36,1),(37,1),(39,1),(75,1),(78,1),(79,1),(116,1),(130,1),(174,1),(184,1),(241,1),(282,1)}
        56:{2,4,5,6}:{(37,1),(76,1),(79,1),(80,1),(117,1),(131,1),(229,1)}
        57:{2,4,5,6,7}:{(38,1),(77,1),(81,1),(132,1),(166,1),(244,1)}
        58:{3,4,6,7}:{(38,1),(39,1),(81,1)}
        59:{2,4,6}:{(40,1),(41,1),(42,1),(83,1)}
        60:{2,3,6,7}:{(41,1),(43,1),(82,1),(84,1),(193,1),(253,1)}
        61:{2,3,5,6}:{(41,1),(44,1),(83,1),(84,1),(85,1),(134,1),(136,1),(193,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(82,1),(86,1),(89,1),(138,1),(140,1),(193,1),(198,1),(205,1),(247,1)}
        63:{1,3,5}:{(42,1),(48,1),(83,1),(87,1),(136,1)}
        64:{1,3,5,7}:{(43,1),(44,1),(45,1),(49,1),(84,1),(89,1)}
        65:{1,4,6}:{(44,1),(50,1),(85,1),(87,1),(89,1)}
        66:{1,2,5,6,7}:{(45,1),(51,1),(88,1),(91,1),(134,1),(162,1),(204,1),(208,1),(219,1),(254,1),(258,1),(285,1)}
        67:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(89,1),(91,1),(92,1),(106,1),(135,1),(143,1),(145,1),(161,1),(202,1),(204,1),(206,1),(248,1),(258,1),(264,1),(288,1),(292,1)}
        68:{1,3,5,6}:{(46,1),(53,1),(90,1),(92,1),(93,1),(136,1),(193,1),(195,1),(207,1),(247,1),(293,1),(306,1),(314,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(86,1),(94,1),(95,1),(154,1),(204,1)}
        70:{2,4,5}:{(48,1),(50,1),(87,1),(96,1)}
        71:{2,3,5,6,7}:{(49,1),(51,1),(88,1),(94,1),(97,1),(101,1),(147,1),(154,1),(204,1),(285,1),(289,1),(306,1)}
        72:{2,4,7}:{(49,1),(50,1),(89,1),(98,1)}
        73:{3,4,6}:{(50,1),(53,1),(96,1),(98,1)}
        74:{2,4,6,7}:{(51,1),(52,1),(54,1),(101,1)}
        75:{3,5,7}:{(52,1),(53,1),(98,1),(101,1)}
        76:{2,3,5,6}:{(53,1),(56,1),(99,1),(102,1),(103,1),(293,1)}
        77:{1,4,5,6,7}:{(54,1),(57,1),(100,1),(104,1),(143,1),(162,1),(218,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(101,1),(104,1),(105,1),(158,1),(160,1),(218,1),(266,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(102,1),(105,1),(106,1),(145,1),(161,1),(204,1)}
        80:{1,4,5,6}:{(56,1),(103,1),(106,1),(146,1),(254,1)}
        81:{3,5,6,7}:{(57,1),(58,1),(196,1),(266,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(62,1),(107,1),(110,1),(163,1),(227,1),(269,1)}
        83:{2,5}:{(59,1),(63,1)}
        84:{2,3,5,7}:{(60,1),(61,1),(64,1),(107,1),(110,1),(164,1)}
        85:{2,4,6}:{(61,1),(65,1),(108,1),(110,1),(111,1)}
        86:{1,3,5,7}:{(62,1),(63,1),(69,1),(107,1),(112,1),(113,1),(164,1),(233,1)}
        87:{1,4,5}:{(63,1),(65,1),(70,1),(108,1)}
        88:{1,3,5,6,7}:{(64,1),(66,1),(71,1),(109,1),(112,1),(115,1),(118,1),(174,1),(178,1),(233,1),(268,1),(278,1)}
        89:{1,4,7}:{(64,1),(65,1),(72,1),(110,1)}
        90:{1,3,4,6}:{(65,1),(68,1),(73,1),(111,1),(114,1),(116,1),(117,1),(302,1),(304,1),(312,1)}
        91:{1,2,4,6,7}:{(66,1),(67,1),(74,1),(115,1),(118,1),(133,1),(163,1),(175,1),(191,1),(230,1),(244,1),(269,1),(297,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(75,1),(116,1),(118,1),(119,1),(164,1),(235,1),(282,1),(300,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(131,1),(165,1),(188,1),(221,1),(223,1),(228,1),(229,1),(269,1)}
        94:{2,3,5,6}:{(69,1),(112,1),(121,1),(180,1),(221,1),(229,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(72,1),(113,1),(121,1),(122,1)}
        96:{3,4,5}:{(70,1),(73,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(115,1),(121,1),(124,1),(125,1),(297,1),(301,1)}
        98:{3,4,7}:{(72,1),(73,1),(75,1)}
        99:{2,3,4,6}:{(73,1),(76,1),(117,1),(123,1),(126,1),(127,1),(228,1),(304,1)}
       100:{2,4,5,6,7}:{(74,1),(77,1),(124,1),(128,1),(132,1),(189,1)}
       101:{3,6,7}:{(74,1),(75,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(79,1),(126,1),(129,1),(130,1),(282,1)}
       103:{1,3,5,6}:{(76,1),(80,1),(127,1),(130,1),(131,1)}
       104:{1,3,5,6,7}:{(77,1),(78,1),(81,1),(128,1),(132,1),(174,1)}
       105:{2,4,6,7}:{(78,1),(79,1),(129,1),(132,1),(133,1),(191,1)}
       106:{1,4,5,7}:{(79,1),(80,1),(130,1),(133,1),(176,1),(233,1)}
       107:{2,5,7}:{(82,1),(83,1),(86,1),(134,1)}
       108:{2,4,5}:{(83,1),(85,1),(87,1),(136,1)}
       109:{2,3,5,6,7}:{(84,1),(88,1),(134,1),(137,1),(147,1),(193,1),(196,1),(204,1),(219,1),(246,1),(265,1),(266,1)}
       110:{2,4,7}:{(84,1),(85,1),(89,1),(138,1)}
       111:{3,4,6}:{(85,1),(136,1),(138,1),(193,1)}
       112:{1,3,5,6}:{(86,1),(94,1),(134,1),(140,1),(193,1),(247,1),(254,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(95,1),(135,1),(140,1)}
       114:{1,3,4,5}:{(87,1),(90,1),(96,1),(136,1),(142,1),(195,1),(310,1),(311,1),(314,1)}
       115:{1,4,6,7}:{(88,1),(89,1),(97,1),(137,1),(140,1),(143,1),(284,1),(292,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(98,1),(138,1),(145,1),(292,1),(296,1),(309,1)}
       117:{2,4,6}:{(90,1),(93,1),(142,1),(145,1),(146,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(101,1),(147,1),(193,1),(247,1),(266,1),(306,1)}
       119:{2,3,5,7}:{(92,1),(93,1),(145,1),(147,1),(148,1),(161,1),(204,1),(217,1),(248,1),(253,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(195,1),(207,1),(247,1),(254,1)}
       121:{2,4,6}:{(94,1),(95,1),(140,1),(151,1)}
       122:{3,4,5,7}:{(95,1),(96,1),(98,1),(151,1),(154,1)}
       123:{2,3,4,5}:{(96,1),(99,1),(142,1),(153,1),(249,1),(311,1)}
       124:{2,4,5,7}:{(97,1),(143,1),(150,1),(154,1),(204,1)}
       125:{3,4,6,7}:{(97,1),(98,1),(101,1),(151,1),(154,1),(306,1),(309,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(102,1),(145,1),(156,1),(253,1),(296,1)}
       127:{1,3,4,6}:{(99,1),(103,1),(146,1),(153,1),(156,1),(157,1),(207,1)}
       128:{3,5,6,7}:{(100,1),(101,1),(154,1),(158,1)}
       129:{2,3,6,7}:{(101,1),(102,1),(105,1),(160,1),(266,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(160,1),(161,1)}
       131:{2,5,6}:{(103,1),(157,1),(161,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(162,1),(204,1)}
       133:{1,4,6,7}:{(105,1),(106,1),(160,1),(162,1)}
       134:{2,5,6}:{(107,1),(112,1),(163,1),(269,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(110,1),(113,1),(163,1),(164,1)}
       136:{3,5}:{(108,1),(111,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(115,1),(163,1),(166,1),(167,1),(267,1),(283,1)}
       138:{3,4,7}:{(110,1),(111,1),(164,1)}
       139:{2,3,4,6}:{(111,1),(117,1),(165,1),(168,1),(169,1),(188,1),(221,1),(240,1),(312,1)}
       140:{1,4,6}:{(112,1),(113,1),(121,1),(163,1)}
       141:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(164,1),(171,1),(172,1),(174,1),(222,1),(224,1),(272,1),(300,1)}
       142:{2,4,5}:{(114,1),(117,1),(165,1),(173,1),(223,1)}
       143:{1,4,5,7}:{(115,1),(124,1),(166,1),(170,1),(174,1),(233,1)}
       144:{1,3,4,6,7}:{(115,1),(116,1),(118,1),(125,1),(167,1),(171,1),(174,1),(175,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,4,6}:{(117,1),(120,1),(173,1),(176,1)}
       147:{2,3,6,7}:{(118,1),(119,1),(175,1),(178,1),(191,1),(221,1),(269,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(176,1),(178,1),(179,1),(233,1),(235,1)}
       149:{1,2,5,6}:{(120,1),(131,1),(177,1),(179,1),(223,1),(269,1)}
       150:{2,4,5,6}:{(121,1),(124,1),(170,1),(180,1),(229,1),(297,1)}
       151:{3,4,6}:{(121,1),(122,1),(180,1)}
       152:{2,3,4,5,7}:{(122,1),(123,1),(126,1),(172,1),(181,1),(182,1),(185,1),(270,1),(300,1),(301,1),(313,1)}
       153:{1,3,4,5}:{(123,1),(127,1),(173,1),(183,1),(232,1)}
       154:{3,5,7}:{(124,1),(125,1),(180,1)}
       155:{2,3,4,6,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(185,1),(186,1),(189,1),(274,1),(301,1)}
       156:{1,3,4,7}:{(126,1),(127,1),(130,1),(176,1),(187,1),(235,1)}
       157:{2,4,6}:{(127,1),(131,1),(183,1),(187,1),(188,1)}
       158:{3,4,6,7}:{(128,1),(184,1),(189,1)}
       159:{2,3,5,6,7}:{(128,1),(129,1),(132,1),(185,1),(189,1),(190,1)}
       160:{1,3,6,7}:{(129,1),(130,1),(133,1),(191,1)}
       161:{2,5,7}:{(130,1),(131,1),(187,1),(191,1)}
       162:{1,5,6,7}:{(132,1),(133,1),(233,1)}
       163:{2,4,6}:{(134,1),(135,1),(140,1),(193,1)}
       164:{3,5,7}:{(135,1),(136,1),(138,1),(193,1)}
       165:{2,3,5}:{(136,1),(139,1),(142,1),(195,1),(314,1)}
       166:{2,4,5,7}:{(137,1),(143,1),(192,1),(196,1),(204,1)}
       167:{3,4,6,7}:{(137,1),(138,1),(193,1),(196,1),(245,1),(266,1),(296,1)}
       168:{2,3,4,7}:{(138,1),(139,1),(145,1),(194,1),(198,1),(217,1),(309,1)}
       169:{1,3,4,6}:{(139,1),(146,1),(195,1),(198,1),(199,1),(207,1),(247,1),(257,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(150,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,4,6}:{(140,1),(141,1),(151,1),(193,1),(200,1),(201,1),(245,1),(247,1),(284,1),(306,1)}
       172:{2,4,5,7}:{(141,1),(142,1),(145,1),(194,1),(201,1),(202,1),(204,1),(248,1)}
       173:{1,4,5}:{(142,1),(146,1),(195,1)}
       174:{1,3,5,7}:{(143,1),(144,1),(154,1),(196,1),(200,1),(204,1)}
       175:{2,4,6,7}:{(144,1),(145,1),(147,1),(201,1),(204,1),(205,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,4,6}:{(146,1),(149,1),(157,1),(199,1),(203,1),(206,1),(207,1)}
       178:{1,3,6,7}:{(147,1),(148,1),(205,1),(208,1),(247,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(161,1),(206,1),(208,1),(248,1)}
       180:{3,5,6}:{(150,1),(151,1),(154,1),(306,1)}
       181:{2,3,4,6}:{(151,1),(152,1),(201,1),(210,1),(211,1),(286,1),(306,1),(307,1)}
       182:{1,3,4,5,7}:{(152,1),(153,1),(156,1),(202,1),(211,1),(212,1),(215,1),(256,1),(292,1),(296,1),(310,1),(311,1)}
       183:{2,4,5}:{(153,1),(157,1),(213,1)}
       184:{3,4,5,7}:{(154,1),(158,1),(209,1),(214,1),(309,1)}
       185:{2,3,5,7}:{(154,1),(155,1),(204,1),(210,1),(214,1),(215,1)}
       186:{1,3,4,6,7}:{(155,1),(156,1),(160,1),(205,1),(211,1),(215,1),(216,1),(218,1),(259,1),(266,1),(292,1),(296,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(217,1)}
       188:{2,3,6}:{(157,1),(207,1),(213,1),(217,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(214,1),(218,1)}
       190:{1,3,5,6,7}:{(159,1),(160,1),(162,1),(215,1),(218,1),(219,1),(266,1)}
       191:{2,6,7}:{(160,1),(161,1)}
       192:{2,4,5,6}:{(163,1),(166,1),(170,1),(220,1),(229,1),(267,1)}
       193:{3,6}:{(163,1),(164,1)}
       194:{2,3,5,7}:{(164,1),(165,1),(168,1),(172,1),(221,1),(222,1),(300,1)}
       195:{1,3,5}:{(165,1),(169,1),(173,1),(223,1)}
       196:{3,5,7}:{(166,1),(167,1),(220,1)}
       197:{2,3,4,6,7}:{(167,1),(168,1),(175,1),(221,1),(225,1),(226,1),(243,1),(267,1),(281,1),(283,1)}
       198:{1,3,4,7}:{(168,1),(169,1),(176,1),(222,1),(227,1),(235,1)}
       199:{2,4,6}:{(169,1),(223,1),(227,1),(228,1),(269,1),(271,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(180,1),(220,1),(229,1)}
       201:{2,4,6}:{(171,1),(172,1),(221,1),(229,1),(230,1),(269,1)}
       202:{1,4,5,7}:{(172,1),(173,1),(176,1),(222,1),(230,1),(233,1)}
       203:{1,2,4,5}:{(173,1),(177,1),(183,1),(223,1),(232,1),(271,1)}
       204:{2,5,7}:{(174,1),(175,1),(229,1),(233,1)}
       205:{1,4,6,7}:{(175,1),(176,1),(178,1),(230,1),(233,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(187,1),(227,1),(235,1)}
       207:{1,3,6}:{(177,1),(188,1),(228,1),(232,1),(235,1)}
       208:{1,2,6,7}:{(178,1),(179,1),(191,1),(269,1)}
       209:{3,4,5,6}:{(180,1),(184,1),(236,1),(312,1)}
       210:{2,3,5,6}:{(180,1),(181,1),(185,1),(229,1),(236,1),(237,1)}
       211:{1,3,4,6}:{(181,1),(182,1),(230,1),(237,1),(238,1),(276,1),(302,1),(304,1)}
       212:{2,4,5,7}:{(182,1),(183,1),(187,1),(238,1),(239,1),(242,1),(283,1),(305,1)}
       213:{2,3,5}:{(183,1),(188,1),(232,1),(240,1)}
       214:{2,4,5,7}:{(184,1),(185,1),(189,1),(236,1),(241,1),(301,1)}
       215:{1,3,5,7}:{(185,1),(186,1),(233,1),(237,1),(241,1),(242,1),(282,1)}
       216:{2,4,6,7}:{(186,1),(187,1),(191,1),(238,1),(242,1),(243,1),(283,1)}
       217:{2,3,7}:{(187,1),(188,1),(235,1)}
       218:{1,4,6,7}:{(189,1),(190,1),(241,1),(244,1)}
       219:{2,5,6,7}:{(190,1),(191,1),(242,1),(244,1)}
       220:{3,5,6}:{(192,1),(193,1),(196,1),(245,1)}
       221:{2,3,6}:{(193,1),(194,1),(201,1),(247,1),(306,1)}
       222:{1,3,5,7}:{(194,1),(195,1),(198,1),(202,1),(247,1),(248,1)}
       223:{2,5}:{(195,1),(199,1)}
       224:{3,4,5,7}:{(196,1),(245,1),(250,1),(296,1),(311,1)}
       225:{2,3,5,7}:{(196,1),(197,1),(204,1),(246,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,6,7}:{(197,1),(198,1),(205,1),(247,1),(251,1),(252,1),(259,1),(284,1),(291,1),(292,1),(306,1),(309,1)}
       227:{2,4,7}:{(198,1),(199,1),(248,1),(253,1)}
       228:{2,3,6}:{(199,1),(207,1),(249,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,4,6}:{(201,1),(202,1),(247,1),(254,1)}
       231:{1,2,4,5,7}:{(202,1),(203,1),(206,1),(212,1),(248,1),(255,1),(256,1),(258,1),(287,1),(288,1),(292,1),(308,1),(310,1)}
       232:{1,3,5}:{(203,1),(207,1),(213,1),(249,1),(257,1)}
       233:{1,5,7}:{(204,1),(205,1),(254,1)}
       234:{1,2,4,6,7}:{(205,1),(206,1),(208,1),(216,1),(252,1),(255,1),(258,1),(259,1),(292,1)}
       235:{1,3,7}:{(206,1),(207,1),(217,1),(253,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(214,1),(260,1),(307,1)}
       237:{1,3,5,6}:{(210,1),(211,1),(215,1),(254,1),(260,1),(261,1),(293,1)}
       238:{2,4,6}:{(211,1),(212,1),(261,1),(262,1)}
       239:{2,3,5,7}:{(212,1),(213,1),(217,1),(256,1),(262,1),(263,1),(295,1)}
       240:{2,3,4}:{(213,1),(257,1)}
       241:{1,4,5,7}:{(214,1),(215,1),(218,1),(260,1),(264,1),(292,1)}
       242:{2,5,7}:{(215,1),(216,1),(261,1)}
       243:{2,3,6,7}:{(216,1),(217,1),(259,1),(262,1),(265,1),(266,1)}
       244:{2,4,6,7}:{(218,1),(219,1),(264,1),(266,1)}
       245:{3,4,6}:{(220,1),(224,1),(267,1)}
       246:{2,3,5,6}:{(220,1),(221,1),(225,1),(229,1),(267,1),(268,1)}
       247:{1,3,6}:{(221,1),(222,1),(230,1),(269,1)}
       248:{2,5,7}:{(222,1),(223,1),(227,1),(269,1)}
       249:{2,3,5}:{(223,1),(228,1),(232,1),(271,1)}
       250:{2,4,5,7}:{(224,1),(225,1),(267,1),(272,1),(283,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(233,1),(268,1),(272,1),(273,1),(300,1),(303,1)}
       252:{2,4,6,7}:{(226,1),(227,1),(269,1),(273,1),(274,1),(297,1),(299,1),(301,1)}
       253:{2,3,7}:{(227,1),(228,1),(235,1)}
       254:{1,5,6}:{(229,1),(230,1),(233,1)}
       255:{1,2,4,6}:{(230,1),(231,1),(238,1),(269,1),(275,1),(276,1),(297,1),(299,1),(302,1)}
       256:{1,3,5,7}:{(231,1),(232,1),(235,1),(239,1),(270,1),(276,1),(277,1),(300,1),(303,1)}
       257:{1,3,4}:{(232,1),(240,1),(271,1)}
       258:{1,2,5,7}:{(233,1),(234,1),(242,1),(273,1),(275,1),(278,1)}
       259:{1,3,6,7}:{(234,1),(235,1),(243,1),(274,1),(276,1),(278,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(241,1),(279,1),(302,1)}
       261:{2,5,6}:{(237,1),(238,1),(242,1)}
       262:{2,3,6}:{(238,1),(239,1),(276,1)}
       263:{2,3,4,7}:{(239,1),(240,1),(277,1),(281,1),(283,1)}
       264:{2,4,5,7}:{(241,1),(242,1),(244,1),(279,1),(282,1),(283,1)}
       265:{2,3,5,7}:{(242,1),(243,1),(278,1),(280,1),(282,1),(283,1)}
       266:{3,6,7}:{(244,1),(282,1)}
       267:{2,4,6}:{(245,1),(246,1),(250,1),(284,1)}
       268:{1,3,5,6}:{(246,1),(247,1),(251,1),(254,1),(284,1),(285,1),(306,1)}
       269:{2,6}:{(247,1),(248,1)}
       270:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(286,1),(287,1),(308,1)}
       271:{2,4}:{(249,1),(257,1)}
       272:{1,4,5,7}:{(250,1),(251,1),(284,1),(288,1),(292,1),(310,1)}
       273:{2,5,7}:{(251,1),(252,1),(285,1),(308,1)}
       274:{2,3,6,7}:{(252,1),(253,1),(259,1),(286,1),(289,1),(306,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(258,1),(261,1),(285,1),(290,1),(308,1)}
       276:{1,3,6}:{(255,1),(256,1),(262,1),(286,1),(306,1)}
       277:{1,3,4,7}:{(256,1),(257,1),(263,1),(287,1),(291,1),(292,1),(309,1)}
       278:{1,3,5,7}:{(258,1),(259,1),(265,1),(289,1),(290,1),(292,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(264,1),(293,1),(294,1)}
       280:{2,3,5,6}:{(261,1),(262,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,3,4,6}:{(262,1),(263,1),(291,1),(294,1),(295,1)}
       282:{3,5,7}:{(264,1),(266,1),(293,1),(296,1)}
       283:{2,4,7}:{(265,1),(292,1),(294,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(272,1),(297,1)}
       285:{2,5,6}:{(268,1),(269,1),(273,1),(297,1)}
       286:{2,3,6}:{(269,1),(270,1),(276,1),(299,1)}
       287:{2,4,7}:{(270,1),(271,1),(277,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(273,1),(297,1),(300,1),(301,1),(313,1)}
       289:{2,3,5,7}:{(273,1),(274,1),(278,1),(298,1),(300,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(278,1),(280,1),(298,1),(302,1),(303,1)}
       291:{1,3,4,6}:{(276,1),(277,1),(281,1),(299,1),(302,1),(303,1),(312,1)}
       292:{1,4,7}:{(278,1),(283,1),(301,1),(302,1)}
       293:{3,5,6}:{(279,1),(282,1),(304,1)}
       294:{2,4,6}:{(280,1),(283,1),(302,1),(304,1),(305,1)}
       295:{2,3,5}:{(281,1),(303,1),(305,1)}
       296:{3,4,7}:{(282,1),(283,1),(304,1)}
       297:{2,4,6}:{(284,1),(285,1),(288,1),(306,1)}
       298:{2,3,5,6}:{(285,1),(286,1),(289,1),(290,1),(306,1),(307,1),(308,1),(314,1)}
       299:{2,4,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{3,5,7}:{(288,1),(306,1),(309,1),(314,1)}
       301:{2,4,7}:{(289,1),(292,1),(307,1),(309,1)}
       302:{1,4,6}:{(290,1),(292,1),(294,1),(307,1),(310,1)}
       303:{1,3,5}:{(291,1),(295,1),(308,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(296,1),(311,1)}
       305:{2,4,5}:{(294,1),(295,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(300,1)}
       307:{2,4,6}:{(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{2,5}:{(299,1),(303,1)}
       309:{3,4,7}:{(300,1),(301,1),(312,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,5}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1707 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1708 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1709 :   0:{2,3,4,5}:{(2,1),(3,1),(39,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(23,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(23,1),(66,1),(74,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(60,1),(108,1)}
         4:{1,2,4}:{(1,1),(11,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(14,1),(42,1)}
         6:{2,3,4}:{(11,1),(15,1)}
         7:{2,4,5}:{(2,1),(15,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(85,1),(131,1)}
        11:{1,3,4}:{(4,1),(6,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(4,1),(7,1),(23,1),(25,1),(26,1),(59,1),(66,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(69,1)}
        14:{1,2,3,7}:{(5,1),(27,1),(65,1)}
        15:{2,3,5}:{(6,1),(7,1),(23,1),(29,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(72,1),(76,1)}
        17:{2,4,6}:{(7,1),(8,1),(29,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(65,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(108,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(15,1),(39,1),(42,1)}
        24:{1,3,4,6}:{(11,1),(13,1),(16,1),(40,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        25:{1,2,4,6}:{(12,1),(17,1),(42,1),(45,1),(46,1),(83,1),(90,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(44,1),(47,1)}
        28:{2,3,4,5}:{(15,1),(41,1),(48,1),(51,1)}
        29:{2,3,6}:{(15,1),(17,1),(42,1),(50,1)}
        30:{2,3,5}:{(16,1),(43,1),(51,1)}
        31:{2,3,4,7}:{(16,1),(44,1),(50,1),(52,1),(98,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(50,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(163,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(131,1),(162,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,5}:{(22,1),(23,1),(59,1),(60,1)}
        40:{2,3,4,6}:{(22,1),(24,1),(60,1),(61,1),(62,1),(108,1),(112,1)}
        41:{1,3,4,5}:{(23,1),(28,1),(59,1),(63,1),(66,1),(110,1)}
        42:{1,3,6}:{(23,1),(25,1),(29,1),(60,1),(65,1)}
        43:{1,3,5}:{(24,1),(26,1),(30,1),(61,1),(66,1)}
        44:{1,3,4,7}:{(24,1),(27,1),(31,1),(62,1),(65,1),(67,1),(115,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(32,1),(64,1),(68,1),(69,1),(106,1)}
        46:{1,2,4,7}:{(25,1),(33,1),(65,1),(68,1),(107,1),(115,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(63,1),(70,1),(71,1),(72,1)}
        49:{2,3,5,6}:{(29,1),(30,1),(32,1),(64,1),(72,1),(73,1),(76,1),(77,1),(124,1)}
        50:{2,3,7}:{(29,1),(33,1),(65,1)}
        51:{2,4,5}:{(30,1),(66,1),(72,1),(74,1)}
        52:{2,3,5,7}:{(30,1),(31,1),(67,1),(75,1),(76,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(72,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(39,1),(41,1),(83,1)}
        60:{2,3,6}:{(39,1),(42,1),(83,1),(85,1)}
        61:{2,3,5}:{(40,1),(43,1),(86,1)}
        62:{2,3,4,7}:{(40,1),(44,1),(85,1),(87,1),(131,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,3,5,6}:{(42,1),(43,1),(45,1),(49,1),(84,1),(90,1),(91,1),(93,1),(138,1)}
        65:{1,3,7}:{(42,1),(46,1),(50,1),(85,1)}
        66:{1,4,5}:{(43,1),(51,1),(86,1),(90,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(47,1),(52,1),(87,1),(92,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(46,1),(54,1),(91,1),(94,1),(129,1)}
        69:{1,2,6}:{(47,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(50,1),(89,1),(96,1),(98,1)}
        72:{2,4,6}:{(49,1),(51,1),(90,1),(97,1),(98,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(54,1),(91,1),(98,1),(99,1),(102,1),(142,1)}
        74:{3,4,5}:{(51,1),(97,1)}
        75:{2,4,5,7}:{(51,1),(52,1),(92,1),(98,1),(100,1),(101,1),(142,1)}
        76:{2,3,6}:{(52,1),(93,1),(101,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(98,1),(102,1),(103,1),(142,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(162,1)}
        83:{2,4,6}:{(59,1),(60,1),(63,1),(106,1),(107,1)}
        84:{2,3,5,6}:{(60,1),(61,1),(64,1),(106,1),(108,1),(109,1),(112,1),(145,1),(151,1)}
        85:{2,3,7}:{(60,1),(65,1),(107,1)}
        86:{2,4,5}:{(61,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(111,1),(112,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(65,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(66,1),(72,1),(108,1),(115,1)}
        91:{1,3,5,7}:{(64,1),(65,1),(68,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,4,5,7}:{(66,1),(67,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(76,1),(112,1),(117,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(116,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(72,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(74,1),(77,1),(121,1)}
        98:{2,4,7}:{(72,1),(73,1),(115,1),(121,1)}
        99:{2,3,6,7}:{(73,1),(76,1),(79,1),(116,1),(122,1),(125,1)}
       100:{3,4,5,7}:{(74,1),(75,1),(121,1),(123,1),(156,1)}
       101:{2,4,6}:{(75,1),(76,1),(117,1),(123,1),(124,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(85,1),(89,1),(129,1)}
       108:{2,4,6}:{(84,1),(86,1),(90,1),(130,1),(131,1)}
       109:{2,3,5,7}:{(84,1),(85,1),(91,1),(129,1),(131,1),(132,1),(159,1),(162,1)}
       110:{3,4,5}:{(86,1),(130,1)}
       111:{2,4,5,7}:{(86,1),(87,1),(92,1),(131,1),(133,1),(134,1),(162,1)}
       112:{2,3,6}:{(87,1),(93,1),(134,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(91,1),(98,1),(131,1)}
       116:{1,3,6,7}:{(91,1),(93,1),(94,1),(99,1),(132,1),(137,1)}
       117:{1,4,6}:{(92,1),(93,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(143,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(98,1),(135,1),(139,1),(140,1),(142,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(98,1),(102,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(101,1),(137,1),(141,1),(142,1)}
       123:{3,4,6}:{(100,1),(101,1),(143,1)}
       124:{2,5,6}:{(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(142,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(108,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(110,1),(145,1),(148,1)}
       131:{2,4,7}:{(108,1),(109,1),(115,1),(148,1)}
       132:{2,3,6,7}:{(109,1),(112,1),(116,1),(147,1),(149,1),(167,1)}
       133:{3,4,5,7}:{(110,1),(111,1),(148,1),(150,1),(169,1)}
       134:{2,4,6}:{(111,1),(112,1),(117,1),(150,1),(151,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(122,1),(149,1),(153,1)}
       138:{1,5,6}:{(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{2,5,7}:{(122,1),(124,1),(153,1),(156,1)}
       143:{3,5,6}:{(123,1),(124,1),(156,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(131,1),(135,1),(159,1),(160,1),(162,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(131,1),(159,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(134,1),(137,1),(161,1),(162,1)}
       150:{3,4,6}:{(133,1),(134,1),(163,1)}
       151:{2,5,6}:{(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(142,1),(162,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(142,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,5,7}:{(149,1),(151,1),(153,1),(169,1)}
       163:{3,5,6}:{(150,1),(151,1),(169,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(162,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1710 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1711 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1712 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1713 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(21,1),(108,1),(177,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(59,1),(95,1),(115,1),(161,1),(187,1),(227,1),(230,1),(237,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(8,1),(36,1),(37,1),(78,1),(146,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(141,1),(210,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(86,1),(151,1),(257,1),(259,1),(266,1)}
         5:{1,3,4,5,7}:{(1,1),(13,1),(14,1),(31,1),(41,1),(126,1),(131,1),(133,1),(149,1),(156,1),(157,1),(258,1)}
         6:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1),(54,1),(95,1),(96,1),(161,1),(176,1),(179,1)}
         7:{2,4,5,6,7}:{(2,1),(18,1),(20,1),(52,1),(57,1),(114,1)}
         8:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(180,1)}
         9:{3,4,6,7}:{(3,1),(15,1),(21,1)}
        10:{2,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(22,1),(54,1)}
        11:{3,4,5,6}:{(15,1),(25,1),(186,1),(241,1)}
        12:{2,3,5,6}:{(4,1),(16,1),(25,1),(26,1),(241,1),(243,1)}
        13:{1,3,4,6}:{(4,1),(5,1),(26,1),(27,1),(63,1),(121,1),(123,1),(282,1)}
        14:{2,4,5,7}:{(5,1),(27,1),(28,1),(49,1),(102,1),(124,1),(160,1),(183,1)}
        15:{3,4,5,7}:{(9,1),(11,1),(30,1),(195,1),(210,1)}
        16:{2,3,5,7}:{(6,1),(12,1),(30,1),(31,1),(210,1),(213,1)}
        17:{1,3,4,6,7}:{(6,1),(13,1),(31,1),(32,1),(37,1),(71,1),(80,1),(83,1),(126,1),(131,1),(133,1),(212,1)}
        18:{3,5,6,7}:{(7,1),(33,1),(83,1),(147,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(33,1),(35,1),(37,1),(78,1),(80,1),(83,1),(141,1)}
        20:{2,5,6,7}:{(8,1),(35,1),(36,1),(213,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(30,1),(37,1)}
        22:{1,3,5,6,7}:{(10,1),(31,1),(36,1),(37,1),(38,1),(80,1),(83,1)}
        23:{1,3,4,5,6}:{(11,1),(29,1),(39,1),(42,1),(75,1),(88,1),(92,1),(137,1),(155,1),(204,1),(214,1)}
        24:{1,2,4,5,7}:{(14,1),(40,1),(41,1),(70,1),(87,1),(131,1),(152,1),(156,1),(193,1),(196,1),(215,1),(258,1),(297,1)}
        25:{2,4,5,6}:{(11,1),(12,1),(30,1),(42,1),(151,1)}
        26:{1,3,5,6}:{(12,1),(13,1),(31,1),(42,1),(43,1),(92,1),(270,1)}
        27:{2,4,6}:{(13,1),(14,1),(43,1),(44,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(44,1),(45,1),(94,1),(194,1),(216,1)}
        29:{1,3,4,5,7}:{(15,1),(19,1),(23,1),(46,1),(48,1),(51,1),(97,1),(101,1),(106,1),(165,1),(173,1),(180,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(21,1),(25,1),(48,1),(161,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(26,1),(48,1),(49,1),(101,1),(242,1)}
        32:{2,4,6,7}:{(17,1),(27,1),(49,1),(50,1),(102,1),(110,1),(160,1)}
        33:{3,4,6,7}:{(18,1),(51,1),(52,1)}
        34:{2,3,5,6,7}:{(18,1),(20,1),(52,1),(53,1),(54,1),(105,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(46,1),(54,1),(55,1),(110,1)}
        36:{1,5,6,7}:{(20,1),(55,1),(242,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(48,1),(57,1)}
        38:{2,5,6,7}:{(22,1),(49,1),(57,1),(110,1)}
        39:{2,4,5,6}:{(23,1),(46,1),(60,1),(61,1),(119,1),(189,1),(243,1)}
        40:{1,2,4,6}:{(24,1),(27,1),(62,1),(63,1),(118,1),(121,1),(228,1),(282,1),(307,1)}
        41:{1,3,5,7}:{(24,1),(28,1),(59,1),(63,1),(64,1),(122,1),(225,1),(227,1),(244,1)}
        42:{1,4,5,6}:{(25,1),(26,1),(48,1),(65,1),(121,1)}
        43:{2,5,6}:{(26,1),(27,1),(49,1)}
        44:{2,3,6}:{(27,1),(28,1),(63,1)}
        45:{2,3,4,7}:{(28,1),(64,1),(67,1),(102,1),(245,1)}
        46:{2,4,5,7}:{(29,1),(35,1),(39,1),(68,1),(69,1),(129,1),(199,1),(213,1)}
        47:{1,2,4,6,7}:{(32,1),(40,1),(70,1),(71,1),(128,1),(131,1),(143,1),(193,1),(212,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(37,1),(42,1),(72,1),(131,1)}
        49:{2,5,7}:{(31,1),(32,1),(43,1)}
        50:{2,3,6,7}:{(32,1),(44,1),(71,1),(73,1),(83,1),(194,1)}
        51:{3,4,5,7}:{(33,1),(75,1),(76,1),(147,1),(301,1)}
        52:{2,4,6,7}:{(33,1),(34,1),(76,1),(78,1)}
        53:{1,3,5,6,7}:{(34,1),(36,1),(78,1),(79,1),(80,1),(138,1),(141,1)}
        54:{2,3,6,7}:{(35,1),(68,1),(80,1),(83,1),(141,1)}
        55:{1,4,6,7}:{(35,1),(36,1),(69,1),(80,1)}
        56:{1,2,5,6,7}:{(36,1),(38,1),(70,1),(79,1),(81,1),(82,1),(143,1),(197,1),(205,1),(213,1),(270,1),(304,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(72,1),(83,1)}
        58:{2,3,5,6,7}:{(38,1),(73,1),(82,1),(83,1),(84,1),(135,1),(144,1),(147,1),(213,1),(263,1),(304,1),(314,1)}
        59:{2,3,5,7}:{(41,1),(86,1),(87,1),(152,1),(254,1),(271,1),(297,1)}
        60:{2,3,5,6}:{(39,1),(68,1),(85,1),(88,1),(92,1),(204,1)}
        61:{1,4,5,6}:{(39,1),(69,1),(88,1),(220,1),(270,1)}
        62:{1,2,5,6}:{(40,1),(43,1),(70,1),(90,1),(152,1),(197,1),(270,1)}
        63:{1,3,6}:{(40,1),(41,1),(44,1),(86,1),(257,1)}
        64:{1,3,4,7}:{(41,1),(45,1),(87,1),(91,1),(131,1),(195,1),(272,1)}
        65:{2,4,5,6}:{(42,1),(43,1),(72,1),(92,1),(93,1)}
        66:{2,3,5,6}:{(43,1),(44,1),(73,1),(90,1),(92,1),(93,1),(94,1)}
        67:{2,3,4,6}:{(44,1),(45,1),(91,1),(93,1),(94,1)}
        68:{2,3,5,7}:{(46,1),(54,1),(60,1),(95,1),(97,1),(101,1),(173,1)}
        69:{1,4,5,7}:{(46,1),(55,1),(61,1),(97,1),(229,1),(242,1)}
        70:{1,2,5,7}:{(47,1),(49,1),(62,1),(99,1),(162,1),(242,1)}
        71:{1,3,6,7}:{(47,1),(50,1),(63,1),(96,1),(99,1),(225,1)}
        72:{2,4,5,7}:{(48,1),(49,1),(57,1),(65,1),(101,1),(102,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(66,1),(99,1),(101,1),(102,1)}
        74:{2,3,4,6,7}:{(50,1),(67,1),(100,1),(102,1),(103,1),(113,1),(169,1),(179,1),(226,1),(281,1)}
        75:{3,4,5,6}:{(51,1),(104,1),(182,1),(308,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(104,1),(105,1),(106,1),(286,1)}
        77:{2,3,4,6,7}:{(52,1),(54,1),(95,1),(105,1),(107,1),(113,1),(158,1),(179,1),(238,1),(286,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(106,1),(108,1)}
        79:{2,5,6,7}:{(53,1),(108,1),(110,1),(172,1)}
        80:{1,3,6,7}:{(54,1),(55,1),(97,1),(110,1)}
        81:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(98,1),(108,1),(110,1),(111,1),(112,1),(179,1),(228,1),(282,1),(307,1),(311,1)}
        82:{1,3,5,6,7}:{(56,1),(58,1),(99,1),(109,1),(111,1),(112,1),(167,1),(178,1),(180,1),(235,1),(242,1),(290,1)}
        83:{3,6,7}:{(57,1),(101,1)}
        84:{2,4,6,7}:{(58,1),(102,1),(112,1),(113,1),(114,1),(169,1),(286,1),(311,1)}
        85:{2,3,4,6}:{(60,1),(95,1),(115,1),(116,1),(123,1),(189,1),(234,1),(246,1)}
        86:{2,3,6}:{(59,1),(63,1),(118,1),(307,1)}
        87:{2,4,7}:{(59,1),(64,1),(118,1),(291,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(97,1),(116,1),(119,1)}
        89:{1,2,4,5,6}:{(61,1),(62,1),(65,1),(98,1),(119,1),(120,1),(121,1),(171,1),(181,1),(184,1),(187,1),(189,1),(228,1),(232,1),(243,1),(249,1),(282,1),(284,1),(292,1),(307,1),(309,1),(311,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(66,1),(99,1),(117,1),(121,1),(122,1)}
        91:{1,3,4,6}:{(63,1),(64,1),(67,1),(118,1),(121,1),(122,1),(186,1)}
        92:{3,5,6}:{(65,1),(101,1),(123,1)}
        93:{2,4,6}:{(66,1),(102,1),(121,1),(123,1),(124,1)}
        94:{2,3,5}:{(67,1),(122,1),(124,1)}
        95:{2,3,4,7}:{(68,1),(85,1),(126,1),(133,1),(199,1),(207,1),(254,1)}
        96:{2,3,6,7}:{(71,1),(86,1),(127,1),(128,1),(254,1),(257,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(80,1),(88,1),(126,1),(129,1)}
        98:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(81,1),(89,1),(129,1),(130,1),(131,1),(139,1),(146,1),(193,1),(196,1),(199,1),(205,1),(213,1),(258,1),(264,1),(297,1),(302,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(90,1),(127,1),(131,1)}
       100:{1,3,4,6,7}:{(71,1),(74,1),(91,1),(128,1),(131,1),(132,1),(195,1),(201,1),(212,1),(255,1),(257,1),(298,1)}
       101:{3,5,7}:{(72,1),(83,1),(92,1),(133,1)}
       102:{2,4,7}:{(73,1),(93,1),(131,1),(133,1)}
       103:{2,3,5,7}:{(74,1),(94,1),(132,1),(134,1),(135,1),(147,1),(213,1)}
       104:{2,4,5,6}:{(75,1),(76,1),(136,1),(137,1),(299,1)}
       105:{2,3,5,7}:{(76,1),(77,1),(136,1),(138,1),(147,1),(213,1)}
       106:{1,4,5,7}:{(76,1),(78,1),(137,1),(138,1),(139,1),(264,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(126,1),(138,1),(140,1),(141,1),(191,1),(207,1),(208,1),(212,1),(264,1)}
       108:{2,4,6,7}:{(78,1),(79,1),(139,1),(141,1)}
       109:{2,3,5,6,7}:{(79,1),(82,1),(127,1),(141,1),(142,1),(144,1),(197,1),(206,1),(210,1),(213,1),(257,1),(269,1)}
       110:{2,6,7}:{(80,1),(129,1)}
       111:{1,3,6,7}:{(81,1),(83,1),(130,1),(141,1),(144,1),(257,1),(298,1),(314,1)}
       112:{1,4,6,7}:{(82,1),(84,1),(131,1),(142,1),(146,1),(201,1),(264,1),(303,1)}
       113:{3,4,6,7}:{(83,1),(84,1),(133,1),(147,1),(202,1),(301,1),(314,1)}
       114:{2,4,5,7}:{(84,1),(146,1),(147,1),(148,1),(213,1)}
       115:{2,3,4,5}:{(85,1),(149,1),(157,1),(221,1),(262,1),(271,1)}
       116:{1,3,4,6}:{(85,1),(88,1),(126,1),(149,1),(150,1),(217,1),(220,1)}
       117:{2,3,5,6}:{(86,1),(90,1),(127,1),(151,1),(152,1),(197,1),(219,1),(257,1)}
       118:{2,4,6}:{(86,1),(87,1),(91,1),(152,1)}
       119:{2,5,6}:{(88,1),(129,1),(150,1)}
       120:{1,3,5,6}:{(89,1),(92,1),(130,1),(154,1),(155,1),(204,1),(217,1),(219,1),(257,1),(274,1),(298,1),(313,1),(314,1)}
       121:{1,4,6}:{(90,1),(93,1),(131,1),(151,1),(156,1)}
       122:{1,3,5}:{(91,1),(94,1),(152,1),(156,1),(219,1)}
       123:{3,4,6}:{(92,1),(93,1),(133,1),(157,1)}
       124:{2,4,5}:{(93,1),(94,1),(156,1),(157,1)}
       125:{2,3,4,5,7}:{(95,1),(105,1),(115,1),(158,1),(159,1),(168,1),(230,1),(277,1),(286,1),(309,1),(310,1)}
       126:{1,3,4,7}:{(95,1),(97,1),(116,1),(160,1),(225,1),(229,1)}
       127:{2,3,5,7}:{(96,1),(99,1),(117,1),(161,1),(162,1),(227,1)}
       128:{2,4,6,7}:{(96,1),(100,1),(118,1),(161,1),(162,1),(228,1),(279,1),(307,1)}
       129:{2,5,7}:{(97,1),(110,1),(119,1),(160,1)}
       130:{1,3,5,7}:{(98,1),(101,1),(111,1),(120,1),(164,1),(165,1),(173,1),(225,1),(227,1),(310,1)}
       131:{1,4,7}:{(99,1),(102,1),(121,1),(161,1)}
       132:{1,3,5,7}:{(100,1),(103,1),(122,1),(162,1),(166,1),(167,1),(227,1),(242,1)}
       133:{3,4,7}:{(101,1),(102,1),(123,1)}
       134:{2,4,5,7}:{(102,1),(103,1),(124,1),(166,1),(168,1),(169,1)}
       135:{2,3,5,6}:{(103,1),(167,1),(169,1),(182,1),(243,1),(281,1)}
       136:{2,3,5,6}:{(104,1),(105,1),(158,1),(170,1),(182,1),(243,1)}
       137:{1,4,5,6}:{(104,1),(106,1),(170,1),(171,1),(284,1)}
       138:{1,3,5,7}:{(105,1),(106,1),(107,1),(170,1),(172,1),(173,1),(242,1)}
       139:{2,4,5,7}:{(106,1),(108,1),(171,1),(172,1),(173,1),(236,1)}
       140:{2,4,6,7}:{(107,1),(110,1),(160,1),(172,1),(175,1),(222,1),(236,1)}
       141:{3,6,7}:{(108,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(112,1),(161,1),(176,1),(177,1),(228,1),(236,1),(288,1)}
       143:{1,2,6,7}:{(110,1),(163,1),(178,1),(307,1)}
       144:{2,3,6,7}:{(110,1),(111,1),(164,1),(178,1),(179,1),(281,1),(307,1)}
       145:{1,3,4,6,7}:{(111,1),(112,1),(113,1),(165,1),(176,1),(179,1),(180,1),(231,1)}
       146:{1,4,5,7}:{(112,1),(114,1),(177,1),(180,1),(181,1),(242,1)}
       147:{3,5,7}:{(113,1),(114,1),(182,1)}
       148:{2,4,5,6}:{(114,1),(169,1),(181,1),(182,1),(243,1),(311,1)}
       149:{1,3,4,5}:{(115,1),(116,1),(183,1),(244,1),(249,1)}
       150:{2,4,6}:{(116,1),(119,1),(160,1),(183,1),(185,1)}
       151:{2,4,6}:{(117,1),(121,1),(161,1),(186,1),(187,1)}
       152:{2,5}:{(118,1),(122,1)}
       153:{1,2,5,6}:{(119,1),(163,1),(184,1),(188,1),(292,1),(307,1)}
       154:{2,3,5,6}:{(119,1),(120,1),(164,1),(185,1),(188,1),(189,1),(243,1),(246,1),(248,1),(281,1),(292,1),(307,1)}
       155:{1,3,4,6}:{(120,1),(121,1),(123,1),(165,1),(186,1),(189,1),(190,1),(234,1),(284,1),(308,1)}
       156:{1,4,5}:{(121,1),(122,1),(124,1),(187,1)}
       157:{3,4,5}:{(123,1),(124,1)}
       158:{2,3,4,6}:{(125,1),(136,1),(191,1),(202,1),(259,1),(293,1),(299,1),(314,1)}
       159:{1,3,4,5,7}:{(125,1),(126,1),(138,1),(149,1),(191,1),(192,1),(207,1),(252,1),(258,1),(262,1),(264,1),(300,1)}
       160:{2,4,7}:{(126,1),(129,1),(150,1),(194,1)}
       161:{2,4,7}:{(127,1),(131,1),(151,1),(195,1)}
       162:{2,5,7}:{(128,1),(132,1),(152,1),(197,1)}
       163:{1,2,5,7}:{(129,1),(143,1),(153,1),(193,1),(198,1),(297,1)}
       164:{2,3,5,7}:{(129,1),(130,1),(144,1),(154,1),(194,1),(198,1),(199,1),(213,1),(254,1),(297,1)}
       165:{1,3,4,7}:{(130,1),(131,1),(133,1),(155,1),(195,1),(199,1),(207,1),(264,1),(301,1)}
       166:{1,4,5,7}:{(131,1),(132,1),(134,1),(156,1),(196,1),(201,1)}
       167:{1,3,5,6}:{(132,1),(135,1),(197,1),(201,1),(257,1),(270,1),(298,1)}
       168:{3,4,5,7}:{(133,1),(134,1),(147,1),(157,1),(202,1)}
       169:{2,4,6}:{(134,1),(135,1),(201,1),(202,1)}
       170:{1,3,5,6}:{(136,1),(137,1),(138,1),(191,1),(203,1),(204,1),(270,1)}
       171:{2,4,5,6}:{(137,1),(139,1),(203,1),(204,1),(261,1)}
       172:{2,5,7}:{(138,1),(140,1),(203,1)}
       173:{3,5,7}:{(139,1),(141,1),(204,1),(207,1)}
       174:{1,2,4,6,7}:{(140,1),(143,1),(193,1),(205,1),(208,1),(212,1),(250,1),(264,1),(267,1)}
       175:{2,3,6,7}:{(140,1),(141,1),(194,1),(206,1),(208,1),(251,1)}
       176:{3,4,6,7}:{(141,1),(142,1),(195,1),(207,1),(210,1),(257,1),(266,1)}
       177:{2,4,5,7}:{(142,1),(146,1),(210,1),(211,1),(213,1)}
       178:{1,3,6,7}:{(143,1),(144,1),(198,1),(212,1),(298,1)}
       179:{2,4,6,7}:{(144,1),(145,1),(199,1),(212,1),(213,1),(259,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(147,1),(210,1),(213,1),(214,1)}
       181:{1,4,5,6}:{(146,1),(148,1),(201,1),(211,1),(214,1),(270,1),(303,1)}
       182:{3,5,6}:{(147,1),(148,1),(202,1),(314,1)}
       183:{2,4,5}:{(149,1),(150,1),(216,1)}
       184:{1,2,4,6}:{(150,1),(153,1),(193,1),(215,1),(217,1),(220,1),(273,1)}
       185:{2,3,6}:{(150,1),(194,1),(216,1),(217,1)}
       186:{3,4,6}:{(151,1),(195,1),(219,1),(257,1)}
       187:{2,4,5}:{(151,1),(152,1),(156,1),(219,1)}
       188:{1,3,5,6}:{(153,1),(154,1),(198,1),(217,1),(220,1),(270,1),(274,1),(298,1)}
       189:{2,4,6}:{(154,1),(155,1),(199,1),(220,1),(221,1)}
       190:{1,3,4,5}:{(155,1),(156,1),(157,1),(219,1),(221,1),(262,1),(274,1),(300,1),(313,1)}
       191:{1,3,4,6}:{(158,1),(159,1),(170,1),(222,1),(234,1),(275,1),(282,1),(284,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(172,1),(183,1),(222,1),(224,1),(236,1),(285,1)}
       193:{1,2,4,7}:{(160,1),(163,1),(184,1),(225,1),(229,1),(279,1)}
       194:{2,3,7}:{(160,1),(185,1),(225,1)}
       195:{3,4,7}:{(161,1),(186,1),(227,1)}
       196:{2,4,5,7}:{(161,1),(162,1),(166,1),(187,1),(227,1),(228,1)}
       197:{2,5,6}:{(162,1),(167,1),(228,1),(307,1)}
       198:{1,3,5,7}:{(163,1),(164,1),(178,1),(188,1),(225,1),(229,1),(242,1)}
       199:{2,4,7}:{(164,1),(165,1),(189,1),(229,1)}
       200:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(190,1),(227,1),(230,1),(231,1),(237,1),(280,1),(287,1),(310,1)}
       201:{1,4,6}:{(166,1),(167,1),(169,1),(228,1)}
       202:{3,4,6}:{(168,1),(169,1),(182,1)}
       203:{2,5,6}:{(170,1),(172,1),(222,1)}
       204:{3,5,6}:{(171,1),(173,1),(234,1)}
       205:{1,2,5,7}:{(172,1),(174,1),(232,1),(235,1),(242,1),(289,1)}
       206:{2,3,5,7}:{(172,1),(173,1),(175,1),(233,1),(235,1),(236,1)}
       207:{3,4,7}:{(173,1),(234,1),(236,1)}
       208:{1,3,6,7}:{(174,1),(175,1),(225,1),(235,1),(238,1),(275,1)}
       209:{2,3,4,6,7}:{(175,1),(176,1),(179,1),(226,1),(236,1),(239,1),(240,1),(276,1),(281,1),(288,1)}
       210:{3,5,7}:{(176,1),(177,1),(241,1)}
       211:{2,4,5,6}:{(177,1),(181,1),(228,1),(241,1),(243,1),(288,1)}
       212:{1,4,6,7}:{(178,1),(179,1),(229,1),(242,1),(282,1)}
       213:{2,5,7}:{(179,1),(180,1),(242,1),(243,1)}
       214:{1,3,5,6}:{(180,1),(181,1),(182,1),(231,1),(241,1),(243,1)}
       215:{1,2,4,5}:{(183,1),(184,1),(244,1),(249,1),(291,1),(292,1)}
       216:{2,3,5}:{(183,1),(185,1),(244,1),(245,1)}
       217:{1,3,6}:{(184,1),(185,1),(225,1),(244,1),(246,1)}
       218:{2,3,4,6}:{(185,1),(186,1),(189,1),(226,1),(245,1),(247,1),(248,1),(281,1),(308,1)}
       219:{3,5}:{(186,1),(187,1)}
       220:{1,4,6}:{(188,1),(189,1),(229,1),(249,1)}
       221:{2,4,5}:{(189,1),(190,1),(248,1),(249,1),(292,1)}
       222:{2,4,6}:{(191,1),(192,1),(203,1),(251,1)}
       223:{1,2,4,5,7}:{(192,1),(193,1),(205,1),(215,1),(250,1),(252,1),(258,1),(264,1),(296,1),(297,1),(300,1),(302,1),(312,1)}
       224:{2,3,5,7}:{(192,1),(194,1),(216,1),(251,1),(252,1),(253,1),(295,1)}
       225:{1,3,7}:{(193,1),(194,1),(217,1),(254,1)}
       226:{2,3,4,7}:{(194,1),(195,1),(199,1),(218,1),(255,1),(256,1),(301,1)}
       227:{3,5,7}:{(195,1),(196,1),(219,1),(257,1)}
       228:{2,4,6}:{(196,1),(197,1),(201,1),(257,1)}
       229:{1,4,7}:{(198,1),(199,1),(220,1)}
       230:{2,4,5,7}:{(199,1),(200,1),(213,1),(221,1),(256,1),(258,1),(259,1),(297,1)}
       231:{1,3,4,6}:{(200,1),(201,1),(202,1),(214,1),(257,1),(259,1),(266,1),(298,1),(303,1),(314,1)}
       232:{1,2,5,6}:{(203,1),(205,1),(250,1),(260,1),(270,1),(304,1),(312,1)}
       233:{2,3,5,6}:{(203,1),(204,1),(206,1),(251,1),(260,1),(261,1),(295,1)}
       234:{3,4,6}:{(204,1),(207,1),(261,1),(262,1)}
       235:{1,3,5,7}:{(205,1),(206,1),(208,1),(260,1),(263,1),(264,1)}
       236:{2,4,7}:{(206,1),(207,1),(261,1),(264,1)}
       237:{3,4,5,7}:{(207,1),(210,1),(262,1),(265,1),(266,1)}
       238:{2,3,6,7}:{(208,1),(254,1),(263,1),(267,1),(293,1),(314,1)}
       239:{1,3,4,6,7}:{(208,1),(209,1),(212,1),(255,1),(264,1),(267,1),(268,1),(294,1),(298,1),(301,1),(303,1),(314,1)}
       240:{2,3,5,7}:{(209,1),(210,1),(213,1),(265,1),(268,1),(269,1),(295,1)}
       241:{3,5,6}:{(210,1),(211,1),(257,1),(266,1)}
       242:{1,5,7}:{(212,1),(213,1),(270,1)}
       243:{2,5,6}:{(213,1),(214,1),(259,1),(270,1)}
       244:{1,3,5}:{(215,1),(216,1),(217,1),(271,1),(272,1)}
       245:{2,3,4}:{(216,1),(272,1)}
       246:{2,3,6}:{(217,1),(254,1),(271,1),(273,1)}
       247:{1,3,4,6}:{(217,1),(218,1),(220,1),(255,1),(272,1),(273,1),(274,1),(298,1)}
       248:{2,3,5}:{(218,1),(219,1),(221,1),(274,1),(313,1)}
       249:{1,4,5}:{(220,1),(221,1),(274,1)}
       250:{1,2,4,6}:{(222,1),(223,1),(232,1),(275,1),(282,1),(284,1),(305,1),(307,1),(311,1)}
       251:{2,3,6}:{(222,1),(224,1),(275,1)}
       252:{1,3,5,7}:{(223,1),(224,1),(225,1),(244,1),(275,1),(277,1),(278,1),(306,1),(310,1)}
       253:{2,3,4,7}:{(224,1),(236,1),(245,1),(276,1),(278,1)}
       254:{2,3,7}:{(225,1),(246,1),(279,1)}
       255:{1,3,4,7}:{(225,1),(226,1),(229,1),(247,1),(279,1),(280,1)}
       256:{2,3,5,7}:{(226,1),(227,1),(230,1),(248,1),(280,1),(281,1),(310,1)}
       257:{3,6}:{(227,1),(228,1)}
       258:{1,4,5,7}:{(229,1),(230,1),(242,1),(249,1),(280,1),(282,1)}
       259:{2,4,6}:{(230,1),(231,1),(243,1),(281,1),(282,1),(307,1)}
       260:{1,3,5,6}:{(232,1),(233,1),(235,1),(275,1),(283,1),(284,1),(306,1)}
       261:{2,4,6}:{(233,1),(234,1),(236,1),(284,1),(285,1)}
       262:{3,4,5}:{(234,1),(285,1)}
       263:{2,3,5,7}:{(235,1),(238,1),(283,1),(286,1),(289,1),(310,1)}
       264:{1,4,7}:{(235,1),(236,1),(284,1),(286,1)}
       265:{2,4,5,7}:{(236,1),(237,1),(240,1),(285,1),(287,1),(288,1)}
       266:{3,4,6}:{(237,1),(241,1),(288,1)}
       267:{2,4,6,7}:{(238,1),(239,1),(279,1),(286,1),(289,1),(305,1),(307,1),(311,1)}
       268:{1,3,5,7}:{(239,1),(240,1),(242,1),(287,1),(289,1),(290,1),(306,1),(310,1)}
       269:{2,3,5,6}:{(240,1),(241,1),(243,1),(281,1),(288,1),(290,1)}
       270:{1,5,6}:{(242,1),(243,1),(282,1)}
       271:{2,3,5}:{(244,1),(246,1),(291,1),(292,1)}
       272:{1,3,4}:{(244,1),(245,1),(291,1)}
       273:{2,4,6}:{(246,1),(247,1),(279,1),(291,1),(292,1),(307,1)}
       274:{1,3,5}:{(247,1),(248,1),(249,1),(292,1)}
       275:{1,3,6}:{(250,1),(251,1),(252,1),(293,1),(314,1)}
       276:{2,3,4,6}:{(251,1),(253,1),(261,1),(294,1),(295,1)}
       277:{2,3,5,7}:{(252,1),(254,1),(271,1),(293,1),(296,1),(297,1),(312,1)}
       278:{1,3,4,7}:{(252,1),(253,1),(264,1),(272,1),(294,1),(296,1),(301,1)}
       279:{2,4,7}:{(254,1),(255,1),(273,1),(297,1)}
       280:{1,3,5,7}:{(255,1),(256,1),(258,1),(274,1),(297,1),(298,1)}
       281:{2,3,6}:{(256,1),(257,1),(259,1),(298,1),(314,1)}
       282:{1,4,6}:{(258,1),(259,1),(270,1),(298,1)}
       283:{2,3,5,6}:{(260,1),(263,1),(293,1),(299,1),(304,1),(312,1),(313,1),(314,1)}
       284:{1,4,6}:{(260,1),(261,1),(264,1),(299,1),(300,1)}
       285:{2,4,5}:{(261,1),(262,1),(295,1),(300,1)}
       286:{2,4,7}:{(263,1),(264,1),(299,1),(301,1)}
       287:{1,4,5,7}:{(264,1),(265,1),(268,1),(300,1),(302,1),(303,1)}
       288:{2,4,6}:{(265,1),(266,1),(269,1),(303,1)}
       289:{2,5,7}:{(267,1),(268,1),(304,1),(312,1)}
       290:{1,3,5,6}:{(268,1),(269,1),(270,1),(298,1),(303,1),(304,1),(314,1)}
       291:{2,4}:{(271,1),(272,1)}
       292:{2,5}:{(273,1),(274,1)}
       293:{2,3,6}:{(275,1),(277,1),(305,1),(307,1)}
       294:{1,3,4,6}:{(275,1),(276,1),(278,1),(284,1),(305,1),(306,1),(308,1)}
       295:{2,3,5}:{(276,1),(285,1),(306,1)}
       296:{2,4,7}:{(277,1),(278,1),(291,1),(305,1)}
       297:{2,5,7}:{(279,1),(280,1),(292,1),(307,1)}
       298:{1,3,6}:{(280,1),(281,1),(282,1),(307,1)}
       299:{2,4,6}:{(283,1),(284,1),(286,1),(308,1),(309,1)}
       300:{1,4,5}:{(284,1),(285,1),(306,1),(309,1)}
       301:{3,4,7}:{(286,1),(308,1),(310,1)}
       302:{2,4,5,7}:{(286,1),(287,1),(289,1),(309,1),(310,1),(311,1)}
       303:{1,4,6}:{(287,1),(288,1),(290,1),(311,1)}
       304:{2,5,6}:{(289,1),(290,1),(307,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(296,1),(312,1)}
       306:{1,3,5}:{(294,1),(295,1),(300,1),(312,1),(313,1)}
       307:{2,6}:{(297,1),(298,1)}
       308:{3,4,6}:{(299,1),(301,1),(313,1),(314,1)}
       309:{2,4,5}:{(299,1),(300,1),(312,1),(313,1)}
       310:{3,5,7}:{(301,1),(302,1),(313,1),(314,1)}
       311:{2,4,6}:{(302,1),(303,1),(304,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

1714 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1715 :   0:{1,3,4,5,6}:{(1,1),(2,1),(12,1),(46,1),(48,1),(106,1),(165,1),(173,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(54,1),(70,1),(115,1),(131,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(25,1),(67,1),(196,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(173,1)}
         4:{1,4,5,6,7}:{(10,1),(13,1),(89,1),(93,1),(164,1)}
         5:{1,3,4,6,7}:{(1,1),(13,1),(14,1),(38,1),(40,1),(93,1),(160,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(41,1),(96,1),(162,1)}
         7:{1,4,5,6}:{(2,1),(12,1),(15,1),(92,1),(224,1)}
         8:{2,3,4,5}:{(9,1),(18,1),(97,1),(101,1),(235,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(19,1),(20,1),(67,1),(110,1),(206,1)}
        10:{2,4,5,6,7}:{(4,1),(21,1),(22,1),(26,1),(60,1),(63,1),(126,1),(195,1)}
        11:{2,3,5,7}:{(3,1),(6,1),(19,1),(23,1),(24,1),(185,1)}
        12:{1,3,5,6}:{(3,1),(7,1),(20,1),(24,1),(25,1)}
        13:{1,3,5,6,7}:{(4,1),(5,1),(22,1),(26,1),(131,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(65,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(24,1),(27,1),(124,1),(192,1)}
        16:{1,2,4,5,6}:{(7,1),(25,1),(28,1),(29,1),(53,1),(67,1),(125,1),(137,1),(140,1),(179,1),(193,1),(196,1),(197,1),(204,1),(239,1),(256,1),(283,1)}
        17:{2,3,4,5,7}:{(8,1),(19,1),(30,1),(31,1),(55,1),(129,1),(133,1),(176,1),(198,1),(237,1),(245,1),(256,1),(282,1),(285,1)}
        18:{1,3,4,5}:{(8,1),(20,1),(32,1),(74,1),(125,1)}
        19:{2,3,4,7}:{(9,1),(11,1),(34,1),(96,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(18,1),(34,1),(35,1),(82,1),(92,1)}
        21:{1,4,5,6,7}:{(10,1),(36,1),(43,1),(93,1),(223,1)}
        22:{3,5,6,7}:{(10,1),(38,1),(160,1),(225,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(40,1),(160,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(34,1),(40,1),(41,1)}
        25:{2,5,6}:{(12,1),(35,1),(41,1)}
        26:{2,5,6,7}:{(13,1),(14,1),(43,1),(162,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(40,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(41,1),(44,1),(45,1),(81,1),(96,1),(147,1),(151,1),(159,1),(162,1),(164,1),(211,1),(214,1),(263,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(82,1),(150,1),(173,1),(216,1),(277,1),(298,1)}
        30:{2,3,4,6}:{(17,1),(49,1),(50,1),(163,1),(167,1),(229,1),(269,1),(298,1),(300,1)}
        31:{1,3,4,5,7}:{(17,1),(18,1),(34,1),(50,1),(51,1),(84,1),(104,1),(159,1),(208,1),(214,1),(217,1),(227,1),(234,1),(235,1),(299,1)}
        32:{2,4,5}:{(18,1),(35,1),(52,1)}
        33:{2,3,4,6,7}:{(19,1),(23,1),(30,1),(55,1),(56,1),(63,1),(120,1),(128,1),(176,1),(177,1),(194,1),(237,1),(248,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(24,1),(57,1),(113,1),(124,1)}
        35:{2,4,6}:{(20,1),(25,1),(32,1),(57,1),(58,1)}
        36:{1,3,5,6,7}:{(21,1),(22,1),(59,1),(60,1),(249,1)}
        37:{1,2,5,6}:{(25,1),(53,1),(61,1),(62,1),(179,1),(239,1)}
        38:{3,4,6,7}:{(22,1),(54,1),(63,1)}
        39:{2,3,5,6,7}:{(22,1),(23,1),(26,1),(55,1),(60,1),(63,1),(64,1),(120,1)}
        40:{1,3,6,7}:{(23,1),(24,1),(27,1),(65,1)}
        41:{2,5,7}:{(24,1),(25,1),(57,1),(65,1)}
        42:{2,3,5,6}:{(25,1),(29,1),(58,1),(62,1),(66,1),(67,1),(110,1),(119,1),(179,1),(188,1),(196,1),(239,1)}
        43:{1,5,6,7}:{(26,1),(27,1),(192,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(65,1),(68,1),(69,1),(126,1),(128,1),(130,1),(193,1),(239,1),(283,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(66,1),(69,1),(70,1),(113,1),(185,1),(282,1)}
        46:{1,3,4,6}:{(29,1),(67,1),(70,1),(71,1),(204,1),(206,1),(255,1)}
        47:{1,2,4,5}:{(32,1),(53,1),(74,1),(125,1),(134,1),(179,1)}
        48:{3,4,5,6}:{(54,1),(75,1),(251,1),(255,1)}
        49:{2,3,5,6}:{(30,1),(55,1),(75,1),(76,1),(196,1),(251,1),(288,1)}
        50:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(138,1),(193,1),(204,1),(206,1),(309,1)}
        51:{2,4,5,7}:{(31,1),(32,1),(57,1),(77,1),(78,1),(116,1),(186,1),(207,1),(236,1),(252,1)}
        52:{2,3,5}:{(32,1),(58,1),(74,1),(79,1)}
        53:{1,2,4,6}:{(35,1),(37,1),(47,1),(81,1),(82,1),(92,1),(144,1)}
        54:{3,4,5,7}:{(38,1),(48,1),(83,1),(225,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(49,1),(83,1),(84,1),(162,1),(225,1),(271,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(40,1),(50,1),(84,1),(85,1),(93,1),(148,1),(155,1),(158,1),(160,1),(208,1),(214,1),(217,1),(270,1)}
        57:{2,4,7}:{(34,1),(35,1),(41,1),(86,1)}
        58:{2,3,6}:{(35,1),(52,1),(82,1),(86,1)}
        59:{1,3,4,6,7}:{(36,1),(38,1),(80,1),(88,1),(93,1),(155,1),(160,1)}
        60:{2,5,6,7}:{(36,1),(88,1),(89,1),(271,1)}
        61:{1,2,5,7}:{(37,1),(41,1),(81,1),(90,1),(91,1),(211,1)}
        62:{1,3,5,6}:{(37,1),(42,1),(82,1),(91,1),(92,1),(150,1),(216,1),(224,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(83,1),(93,1)}
        64:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(84,1),(89,1),(93,1),(94,1),(155,1),(160,1)}
        65:{2,6,7}:{(40,1),(41,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(86,1),(91,1),(95,1),(96,1),(143,1),(162,1),(211,1)}
        67:{2,4,6}:{(42,1),(46,1),(92,1),(96,1),(97,1)}
        68:{1,2,5,6,7}:{(43,1),(44,1),(94,1),(98,1),(147,1),(162,1),(220,1),(224,1),(264,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(95,1),(160,1),(216,1),(298,1)}
        70:{1,3,4,7}:{(45,1),(46,1),(96,1),(214,1),(217,1),(262,1)}
        71:{1,3,4,5}:{(46,1),(97,1),(150,1),(234,1),(235,1),(277,1)}
        72:{1,3,4,5,6}:{(48,1),(80,1),(102,1),(106,1),(169,1),(173,1),(233,1),(272,1)}
        73:{1,2,4,5,7}:{(47,1),(51,1),(81,1),(103,1),(104,1),(147,1),(159,1),(168,1),(211,1),(214,1),(230,1),(234,1),(260,1),(263,1),(273,1),(299,1),(312,1)}
        74:{1,3,5}:{(47,1),(52,1),(82,1),(101,1),(105,1)}
        75:{2,4,5,6}:{(48,1),(49,1),(83,1),(106,1),(229,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(84,1),(106,1),(107,1),(173,1),(224,1),(301,1)}
        77:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        78:{2,3,5,7}:{(51,1),(52,1),(86,1),(104,1),(108,1),(109,1),(175,1),(261,1),(274,1)}
        79:{2,3,4}:{(52,1),(105,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(72,1),(111,1),(115,1),(180,1),(185,1),(242,1),(249,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(61,1),(113,1),(124,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(74,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(63,1),(75,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(76,1),(115,1),(116,1),(185,1),(192,1),(287,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(117,1),(186,1),(189,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(67,1),(79,1),(114,1),(118,1),(119,1),(188,1),(255,1)}
        88:{2,4,6,7}:{(59,1),(60,1),(111,1),(120,1),(121,1),(189,1)}
        89:{1,5,6,7}:{(60,1),(121,1),(287,1)}
        90:{1,2,6,7}:{(61,1),(65,1),(123,1),(239,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(66,1),(113,1),(123,1),(124,1),(192,1)}
        92:{1,4,6}:{(62,1),(67,1),(124,1),(125,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(115,1),(126,1)}
        94:{2,5,6,7}:{(64,1),(65,1),(116,1),(126,1),(189,1)}
        95:{2,3,6,7}:{(65,1),(66,1),(69,1),(123,1),(128,1),(188,1),(239,1)}
        96:{2,4,7}:{(66,1),(67,1),(70,1),(124,1)}
        97:{2,4,5}:{(67,1),(71,1),(119,1),(125,1),(179,1)}
        98:{1,3,5,6,7}:{(68,1),(69,1),(127,1),(130,1),(131,1),(182,1),(244,1),(247,1),(287,1)}
        99:{1,3,4,6,7}:{(69,1),(70,1),(128,1),(130,1),(131,1),(132,1),(194,1)}
       100:{1,3,4,5,7}:{(70,1),(71,1),(129,1),(131,1),(132,1),(184,1),(243,1),(245,1),(282,1)}
       101:{2,3,5}:{(74,1),(110,1),(134,1),(179,1)}
       102:{2,4,5,6}:{(72,1),(111,1),(135,1),(136,1),(202,1),(258,1),(288,1)}
       103:{1,2,4,6}:{(73,1),(77,1),(137,1),(138,1),(193,1),(201,1),(204,1),(239,1),(283,1),(309,1),(314,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(78,1),(113,1),(133,1),(138,1),(139,1),(205,1),(280,1),(282,1),(289,1)}
       105:{1,3,4}:{(74,1),(79,1),(134,1)}
       106:{1,4,5,6}:{(75,1),(76,1),(115,1),(140,1),(204,1)}
       107:{2,5,6}:{(76,1),(77,1),(116,1)}
       108:{2,3,6}:{(77,1),(78,1),(138,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(139,1),(142,1),(186,1),(290,1)}
       110:{2,3,6}:{(82,1),(101,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(88,1),(102,1),(145,1),(146,1),(212,1),(266,1),(271,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(103,1),(147,1),(148,1),(158,1),(210,1),(214,1),(220,1),(260,1),(270,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(105,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(106,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(107,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(108,1),(148,1),(152,1),(160,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(96,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(97,1),(150,1),(277,1)}
       120:{2,3,6,7}:{(88,1),(145,1),(155,1),(160,1)}
       121:{1,4,6,7}:{(88,1),(89,1),(146,1),(155,1)}
       122:{1,2,5,6,7}:{(89,1),(90,1),(94,1),(147,1),(156,1),(157,1),(264,1),(271,1),(301,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(95,1),(158,1),(216,1)}
       124:{1,4,7}:{(91,1),(92,1),(96,1)}
       125:{1,4,5}:{(92,1),(97,1),(150,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(151,1),(160,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(98,1),(152,1),(157,1),(160,1),(161,1),(162,1),(209,1),(219,1),(221,1),(225,1),(264,1),(271,1),(298,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(99,1),(158,1),(162,1),(163,1)}
       129:{2,4,5,7}:{(96,1),(97,1),(100,1),(154,1),(159,1),(162,1),(163,1),(211,1)}
       130:{1,4,6,7}:{(98,1),(161,1),(164,1),(214,1),(268,1)}
       131:{1,3,5,7}:{(99,1),(162,1),(164,1),(165,1),(225,1)}
       132:{1,3,4,6}:{(100,1),(163,1),(165,1),(216,1),(268,1),(269,1),(298,1)}
       133:{2,3,5,7}:{(101,1),(104,1),(143,1),(167,1),(168,1),(211,1),(230,1),(295,1),(302,1),(312,1)}
       134:{2,4}:{(101,1),(105,1)}
       135:{2,3,5,6}:{(102,1),(145,1),(166,1),(169,1),(173,1)}
       136:{1,4,5,6}:{(102,1),(146,1),(169,1),(278,1),(301,1)}
       137:{1,2,5,6}:{(103,1),(107,1),(147,1),(171,1),(224,1),(230,1),(264,1),(301,1)}
       138:{1,3,6}:{(103,1),(104,1),(108,1),(167,1),(298,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(168,1),(172,1),(214,1),(262,1),(303,1)}
       140:{2,4,5,6}:{(106,1),(107,1),(151,1),(173,1),(174,1)}
       141:{2,3,5,6}:{(107,1),(108,1),(152,1),(171,1),(173,1),(174,1),(175,1)}
       142:{2,3,4,6}:{(108,1),(109,1),(172,1),(174,1),(175,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(134,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(120,1),(135,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(121,1),(136,1),(180,1),(284,1),(287,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(137,1),(182,1),(192,1),(238,1),(287,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(138,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(124,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(125,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(126,1),(140,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(141,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(128,1),(142,1),(183,1),(186,1),(187,1),(188,1),(194,1),(246,1),(248,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(129,1),(184,1),(188,1),(282,1)}
       155:{1,3,6,7}:{(120,1),(121,1),(180,1),(189,1)}
       156:{1,2,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(189,1),(190,1),(191,1),(248,1),(283,1),(309,1),(314,1)}
       157:{1,3,5,6,7}:{(122,1),(123,1),(127,1),(182,1),(190,1),(191,1),(192,1),(244,1),(249,1)}
       158:{1,4,6,7}:{(123,1),(124,1),(128,1),(192,1),(193,1)}
       159:{1,4,5,7}:{(124,1),(125,1),(129,1),(184,1),(192,1),(193,1)}
       160:{3,6,7}:{(126,1),(185,1)}
       161:{2,4,6,7}:{(127,1),(130,1),(186,1),(191,1),(194,1),(195,1),(237,1),(246,1),(283,1)}
       162:{2,5,7}:{(128,1),(131,1),(192,1),(196,1)}
       163:{2,4,6}:{(129,1),(132,1),(188,1),(193,1),(196,1),(239,1)}
       164:{1,4,5,7}:{(130,1),(131,1),(195,1),(197,1),(287,1)}
       165:{1,3,5,6}:{(131,1),(132,1),(196,1),(197,1),(251,1)}
       166:{2,3,4,6}:{(135,1),(176,1),(198,1),(199,1),(206,1),(258,1),(291,1)}
       167:{2,3,6}:{(133,1),(138,1),(201,1),(239,1),(314,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1),(310,1)}
       169:{1,3,5,6}:{(135,1),(136,1),(180,1),(199,1),(202,1)}
       170:{1,2,4,5,6}:{(136,1),(137,1),(140,1),(181,1),(202,1),(203,1),(204,1),(250,1),(253,1),(256,1),(258,1),(283,1),(288,1),(294,1),(309,1),(311,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(182,1),(200,1),(204,1),(205,1)}
       172:{1,3,4,6}:{(138,1),(139,1),(142,1),(201,1),(204,1),(205,1),(255,1)}
       173:{3,5,6}:{(140,1),(185,1),(206,1)}
       174:{2,4,6}:{(141,1),(186,1),(204,1),(206,1),(207,1)}
       175:{2,3,5}:{(142,1),(205,1),(207,1)}
       176:{2,3,4,7}:{(145,1),(166,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(167,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(155,1),(169,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(156,1),(170,1),(212,1),(213,1),(214,1),(223,1),(260,1),(263,1),(266,1),(271,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(171,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(158,1),(172,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(270,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(159,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(160,1),(173,1),(217,1)}
       186:{2,4,7}:{(152,1),(174,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(162,1),(175,1),(215,1),(218,1),(219,1),(225,1),(271,1)}
       188:{2,3,6}:{(154,1),(163,1),(216,1),(298,1)}
       189:{2,6,7}:{(155,1),(212,1)}
       190:{1,3,6,7}:{(156,1),(160,1),(213,1),(221,1),(298,1),(313,1)}
       191:{1,4,6,7}:{(157,1),(161,1),(214,1),(223,1),(268,1)}
       192:{1,5,7}:{(158,1),(162,1),(224,1)}
       193:{1,4,6}:{(159,1),(163,1),(216,1),(224,1)}
       194:{3,4,6,7}:{(160,1),(161,1),(217,1),(225,1),(262,1),(269,1),(298,1)}
       195:{2,4,5,7}:{(161,1),(162,1),(164,1),(223,1),(225,1),(226,1),(271,1)}
       196:{2,5,6}:{(162,1),(163,1),(165,1),(224,1)}
       197:{1,4,5,6}:{(164,1),(165,1),(226,1),(268,1),(301,1)}
       198:{2,3,4,5}:{(166,1),(227,1),(235,1),(279,1),(302,1)}
       199:{1,3,4,6}:{(166,1),(169,1),(208,1),(227,1),(228,1),(275,1),(278,1)}
       200:{2,3,5,6}:{(167,1),(171,1),(209,1),(229,1),(230,1),(264,1),(277,1),(298,1)}
       201:{2,4,6}:{(167,1),(168,1),(172,1),(230,1)}
       202:{2,5,6}:{(169,1),(212,1),(228,1)}
       203:{1,3,5,6}:{(170,1),(173,1),(213,1),(232,1),(233,1),(275,1),(277,1),(298,1),(305,1),(313,1)}
       204:{1,4,6}:{(171,1),(174,1),(214,1),(229,1),(234,1)}
       205:{1,3,5}:{(172,1),(175,1),(230,1),(234,1),(277,1)}
       206:{3,4,6}:{(173,1),(174,1),(217,1),(235,1)}
       207:{2,4,5}:{(174,1),(175,1),(234,1),(235,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(199,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(200,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(201,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(189,1),(202,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(190,1),(203,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(204,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(192,1),(205,1),(238,1),(243,1),(244,1),(282,1),(287,1)}
       216:{1,3,6}:{(184,1),(188,1),(193,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(206,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(207,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(196,1),(244,1),(246,1),(251,1),(288,1),(308,1)}
       220:{1,2,6,7}:{(189,1),(240,1),(247,1),(314,1)}
       221:{2,3,6,7}:{(189,1),(190,1),(241,1),(247,1),(248,1),(308,1),(314,1)}
       222:{1,3,4,6,7}:{(190,1),(191,1),(194,1),(242,1),(248,1),(249,1),(286,1)}
       223:{1,4,5,7}:{(191,1),(192,1),(195,1),(249,1),(250,1)}
       224:{1,5,6}:{(192,1),(193,1),(196,1)}
       225:{3,5,7}:{(194,1),(195,1),(251,1)}
       226:{2,4,5,6}:{(195,1),(196,1),(197,1),(246,1),(250,1),(251,1),(283,1),(288,1)}
       227:{1,3,4,5}:{(198,1),(199,1),(252,1),(289,1),(294,1)}
       228:{2,4,6}:{(199,1),(202,1),(236,1),(252,1),(254,1)}
       229:{2,4,6}:{(200,1),(204,1),(237,1),(255,1),(256,1)}
       230:{2,5}:{(201,1),(205,1)}
       231:{1,2,5,6}:{(202,1),(240,1),(253,1),(257,1),(311,1),(314,1)}
       232:{2,3,5,6}:{(202,1),(203,1),(241,1),(254,1),(257,1),(258,1),(288,1),(291,1),(293,1),(308,1),(311,1),(314,1)}
       233:{1,3,4,6}:{(203,1),(204,1),(206,1),(242,1),(255,1),(258,1),(259,1)}
       234:{1,4,5}:{(204,1),(205,1),(207,1),(256,1)}
       235:{3,4,5}:{(206,1),(207,1)}
       236:{2,4,7}:{(208,1),(212,1),(228,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(229,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(230,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(220,1),(231,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(221,1),(232,1),(261,1),(265,1),(266,1),(271,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(234,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(224,1),(264,1),(268,1),(298,1),(301,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(225,1),(235,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{1,3,6,7}:{(220,1),(221,1),(265,1),(270,1),(313,1)}
       248:{2,4,6,7}:{(221,1),(222,1),(266,1),(270,1),(271,1),(300,1)}
       249:{1,3,5,7}:{(222,1),(223,1),(225,1),(271,1),(272,1)}
       250:{1,4,5,6}:{(223,1),(224,1),(226,1),(268,1),(272,1)}
       251:{3,5,6}:{(225,1),(226,1),(269,1),(298,1)}
       252:{2,4,5}:{(227,1),(228,1),(274,1)}
       253:{1,2,4,6}:{(228,1),(231,1),(260,1),(273,1),(275,1),(278,1),(304,1)}
       254:{2,3,6}:{(228,1),(261,1),(274,1),(275,1)}
       255:{3,4,6}:{(229,1),(262,1),(277,1),(298,1)}
       256:{2,4,5}:{(229,1),(230,1),(234,1),(277,1)}
       257:{1,3,5,6}:{(231,1),(232,1),(265,1),(275,1),(278,1),(301,1),(305,1),(313,1)}
       258:{2,4,6}:{(232,1),(233,1),(266,1),(278,1),(279,1)}
       259:{1,3,4,5}:{(233,1),(234,1),(235,1),(277,1),(279,1),(305,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(253,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(254,1),(280,1)}
       262:{3,4,7}:{(237,1),(255,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(256,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(247,1),(257,1),(280,1),(284,1),(287,1)}
       266:{2,4,7}:{(241,1),(242,1),(258,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(249,1),(259,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(251,1)}
       270:{1,4,6,7}:{(247,1),(248,1),(284,1),(287,1),(309,1)}
       271:{2,5,7}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,5,6}:{(249,1),(250,1),(251,1),(286,1),(288,1)}
       273:{1,2,4,5}:{(252,1),(253,1),(289,1),(294,1),(310,1),(311,1)}
       274:{2,3,5}:{(252,1),(254,1),(289,1),(290,1)}
       275:{1,3,6}:{(253,1),(254,1),(280,1),(289,1),(291,1)}
       276:{2,3,4,6}:{(254,1),(255,1),(258,1),(281,1),(290,1),(292,1),(293,1),(308,1)}
       277:{3,5}:{(255,1),(256,1)}
       278:{1,4,6}:{(257,1),(258,1),(284,1),(294,1)}
       279:{2,4,5}:{(258,1),(259,1),(293,1),(294,1),(311,1)}
       280:{1,3,7}:{(260,1),(261,1),(275,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(276,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(277,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(278,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(271,1),(279,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(272,1),(298,1),(300,1),(313,1)}
       287:{1,5,7}:{(270,1),(271,1),(301,1)}
       288:{2,5,6}:{(271,1),(272,1),(300,1),(301,1)}
       289:{1,3,5}:{(273,1),(274,1),(275,1),(302,1),(303,1)}
       290:{2,3,4}:{(274,1),(303,1)}
       291:{2,3,6}:{(275,1),(295,1),(302,1),(304,1)}
       292:{1,3,4,6}:{(275,1),(276,1),(278,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       293:{2,3,5}:{(276,1),(277,1),(279,1),(305,1)}
       294:{1,4,5}:{(278,1),(279,1),(305,1)}
       295:{2,3,7}:{(280,1),(291,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(292,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(293,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(287,1),(294,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(288,1),(308,1),(309,1),(314,1)}
       301:{1,5,6}:{(287,1),(288,1),(309,1)}
       302:{2,3,5}:{(289,1),(291,1),(310,1),(311,1)}
       303:{1,3,4}:{(289,1),(290,1),(310,1)}
       304:{2,4,6}:{(291,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       305:{1,3,5}:{(292,1),(293,1),(294,1),(311,1)}
       306:{2,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(305,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4}:{(302,1),(303,1)}
       311:{2,5}:{(304,1),(305,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1716 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(24,1),(31,1),(33,1),(39,1),(75,1),(76,1),(83,1),(132,1),(156,1),(194,1),(201,1),(203,1),(256,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(31,1),(66,1),(124,1),(194,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(25,1),(31,1),(37,1),(82,1),(91,1)}
         3:{1,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(47,1),(64,1),(166,1),(225,1),(230,1),(233,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(13,1),(46,1),(51,1),(58,1),(62,1),(114,1),(184,1),(189,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(14,1),(15,1),(189,1),(225,1)}
         6:{1,2,5,7}:{(1,1),(13,1),(15,1),(20,1),(96,1),(159,1),(239,1)}
         7:{1,3,4,5,7}:{(10,1),(16,1),(17,1),(21,1),(41,1),(47,1),(55,1),(64,1),(117,1),(160,1),(161,1),(170,1),(171,1),(186,1),(225,1),(228,1),(233,1),(274,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(46,1),(54,1),(62,1)}
         9:{1,3,5,7}:{(2,1),(18,1),(20,1),(21,1),(47,1),(64,1)}
        10:{1,3,4,7}:{(3,1),(24,1),(25,1),(31,1),(82,1),(256,1),(258,1)}
        11:{2,3,5,7}:{(3,1),(24,1),(26,1),(27,1),(75,1),(83,1),(133,1),(202,1)}
        12:{1,3,6}:{(3,1),(4,1),(27,1),(91,1),(216,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(28,1),(36,1),(75,1),(88,1),(149,1),(201,1),(263,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(27,1),(29,1),(30,1),(91,1),(124,1),(155,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(31,1),(156,1),(210,1)}
        16:{2,4,5,7}:{(7,1),(24,1),(32,1),(33,1),(34,1),(67,1),(75,1),(83,1),(126,1),(136,1),(147,1),(194,1),(203,1),(214,1)}
        17:{1,3,4,6}:{(7,1),(34,1),(35,1),(37,1),(84,1),(91,1),(150,1),(151,1),(216,1),(255,1),(290,1)}
        18:{1,3,5,6}:{(9,1),(36,1),(37,1),(91,1)}
        19:{1,4,6,7}:{(8,1),(29,1),(38,1),(74,1),(81,1),(90,1)}
        20:{2,5,7}:{(8,1),(9,1),(36,1),(38,1),(75,1)}
        21:{1,4,5,7}:{(9,1),(31,1),(37,1),(39,1),(76,1),(156,1)}
        22:{1,3,4,6,7}:{(17,1),(40,1),(41,1),(43,1),(93,1),(99,1),(160,1),(161,1),(225,1)}
        23:{1,3,5,6,7}:{(18,1),(41,1),(42,1),(43,1),(99,1),(227,1)}
        24:{2,4,7}:{(10,1),(11,1),(45,1),(46,1),(232,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(46,1),(47,1),(51,1),(109,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(103,1),(105,1),(172,1)}
        27:{2,3,6}:{(11,1),(12,1),(46,1),(49,1),(114,1)}
        28:{1,3,5,6}:{(12,1),(13,1),(15,1),(47,1),(50,1),(51,1),(189,1),(230,1),(237,1),(238,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(49,1),(52,1),(53,1),(122,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(20,1),(50,1),(53,1),(54,1),(64,1),(123,1),(159,1),(177,1),(225,1)}
        31:{1,4,7}:{(15,1),(51,1),(54,1)}
        32:{2,3,5,7}:{(16,1),(44,1),(55,1),(56,1),(64,1),(102,1),(123,1),(225,1),(233,1),(274,1),(301,1)}
        33:{1,4,5,7}:{(16,1),(45,1),(55,1),(58,1),(96,1),(105,1),(160,1),(170,1),(179,1),(240,1)}
        34:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(59,1),(114,1)}
        35:{1,3,5,6}:{(17,1),(41,1),(47,1),(59,1),(60,1),(121,1),(186,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1),(62,1)}
        37:{1,4,6}:{(18,1),(21,1),(62,1),(189,1)}
        38:{1,5,7}:{(19,1),(20,1),(61,1),(105,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(54,1),(62,1),(63,1),(64,1),(106,1),(123,1)}
        40:{2,4,6,7}:{(22,1),(34,1),(65,1),(66,1),(67,1),(124,1),(126,1),(194,1)}
        41:{1,3,5,7}:{(22,1),(35,1),(67,1),(68,1),(130,1)}
        42:{2,5,6,7}:{(23,1),(36,1),(67,1),(69,1),(70,1),(250,1)}
        43:{1,4,6,7}:{(23,1),(37,1),(68,1),(70,1),(199,1),(255,1)}
        44:{2,3,4,7}:{(24,1),(32,1),(71,1),(72,1),(82,1),(126,1),(133,1),(144,1),(147,1),(252,1),(253,1),(258,1),(288,1)}
        45:{1,4,7}:{(24,1),(26,1),(74,1),(205,1)}
        46:{2,4,6}:{(24,1),(25,1),(27,1),(74,1),(75,1)}
        47:{1,3,5}:{(25,1),(75,1),(76,1),(140,1)}
        48:{1,2,5,7}:{(26,1),(73,1),(77,1),(83,1),(138,1),(310,1)}
        49:{1,3,6}:{(26,1),(27,1),(74,1),(77,1)}
        50:{2,3,5,6}:{(27,1),(28,1),(30,1),(36,1),(75,1),(78,1),(79,1),(91,1),(140,1),(149,1),(155,1),(202,1),(207,1),(208,1),(216,1)}
        51:{1,4,6}:{(28,1),(31,1),(76,1),(79,1),(256,1)}
        52:{1,2,6,7}:{(29,1),(77,1),(80,1),(124,1),(155,1),(199,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(38,1),(78,1),(80,1),(81,1),(143,1)}
        54:{2,4,7}:{(30,1),(31,1),(79,1),(81,1),(82,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(71,1),(83,1),(84,1),(135,1),(156,1),(310,1)}
        56:{2,3,6}:{(32,1),(34,1),(84,1),(91,1),(155,1),(216,1),(290,1),(309,1)}
        57:{1,2,4,5,7}:{(33,1),(73,1),(83,1),(86,1),(87,1),(128,1),(138,1),(147,1),(194,1),(197,1),(203,1),(205,1),(214,1),(218,1),(251,1),(310,1)}
        58:{1,4,6}:{(33,1),(34,1),(84,1),(88,1)}
        59:{2,5,6}:{(34,1),(35,1),(67,1),(75,1),(88,1),(214,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(68,1),(76,1),(89,1),(150,1),(218,1),(219,1),(255,1)}
        61:{1,5,6}:{(36,1),(38,1),(90,1)}
        62:{2,4,6}:{(36,1),(37,1),(39,1),(90,1),(91,1),(155,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(81,1),(90,1),(92,1),(139,1)}
        64:{3,5,7}:{(39,1),(82,1),(91,1),(140,1)}
        65:{2,3,6,7}:{(40,1),(56,1),(93,1),(94,1),(99,1),(165,1),(225,1)}
        66:{1,4,6,7}:{(40,1),(58,1),(93,1),(96,1),(160,1)}
        67:{2,5,7}:{(40,1),(41,1),(59,1),(96,1)}
        68:{1,4,5,7}:{(41,1),(43,1),(60,1),(97,1),(160,1),(229,1)}
        69:{1,5,6,7}:{(42,1),(61,1),(96,1),(98,1),(269,1)}
        70:{2,4,6,7}:{(42,1),(43,1),(62,1),(97,1),(98,1),(99,1),(165,1),(273,1)}
        71:{1,3,4,7}:{(44,1),(45,1),(55,1),(100,1),(101,1),(103,1),(160,1),(166,1),(178,1),(179,1),(225,1),(275,1),(302,1)}
        72:{2,3,4,6}:{(44,1),(46,1),(56,1),(101,1),(102,1),(109,1),(116,1),(168,1),(176,1),(182,1),(232,1),(244,1),(245,1),(278,1),(283,1)}
        73:{1,2,4,7}:{(45,1),(48,1),(100,1),(103,1),(104,1),(302,1),(303,1)}
        74:{1,4,6}:{(45,1),(46,1),(49,1),(105,1)}
        75:{2,5}:{(46,1),(47,1),(105,1)}
        76:{1,4,5}:{(47,1),(51,1),(106,1),(237,1)}
        77:{1,2,6}:{(48,1),(49,1),(114,1),(313,1)}
        78:{1,3,5,6}:{(49,1),(50,1),(53,1),(61,1),(105,1),(107,1),(108,1),(122,1),(172,1),(174,1),(175,1)}
        79:{2,4,6}:{(50,1),(51,1),(54,1),(106,1),(108,1),(109,1),(232,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(107,1),(110,1),(123,1),(159,1),(229,1)}
        81:{1,4,7}:{(53,1),(54,1),(108,1)}
        82:{3,4,7}:{(54,1),(64,1),(109,1),(225,1)}
        83:{2,5,7}:{(55,1),(100,1),(114,1),(169,1)}
        84:{1,3,6}:{(55,1),(56,1),(58,1),(114,1),(189,1),(313,1)}
        85:{2,3,5,6}:{(56,1),(59,1),(94,1),(102,1),(115,1),(116,1),(121,1),(188,1),(245,1)}
        86:{1,3,5,7}:{(57,1),(103,1),(113,1),(117,1),(118,1),(172,1),(186,1),(225,1),(233,1),(274,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(114,1),(118,1),(119,1),(182,1),(184,1),(187,1),(273,1),(313,1)}
        88:{1,5,6}:{(58,1),(59,1),(96,1),(105,1),(240,1)}
        89:{2,4,5,6}:{(59,1),(60,1),(62,1),(97,1),(106,1),(116,1),(120,1),(121,1),(184,1),(188,1),(243,1),(273,1)}
        90:{1,4,6}:{(61,1),(62,1),(63,1),(122,1)}
        91:{3,6}:{(62,1),(64,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(111,1),(122,1),(123,1),(174,1)}
        93:{1,3,6,7}:{(65,1),(66,1),(84,1),(124,1),(125,1),(199,1)}
        94:{2,3,5,7}:{(65,1),(67,1),(85,1),(125,1),(126,1),(130,1),(198,1),(253,1)}
        95:{1,2,4,6,7}:{(66,1),(87,1),(124,1),(127,1),(128,1),(192,1),(194,1),(197,1)}
        96:{1,5,7}:{(66,1),(67,1),(88,1)}
        97:{2,4,5,7}:{(67,1),(68,1),(70,1),(89,1),(126,1),(129,1),(130,1),(194,1),(198,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(90,1),(129,1),(131,1),(286,1)}
        99:{3,6,7}:{(70,1),(91,1),(130,1),(290,1)}
       100:{2,4,7}:{(71,1),(83,1),(133,1),(134,1),(291,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(74,1),(84,1),(134,1),(135,1),(137,1),(150,1),(200,1),(205,1),(209,1),(211,1),(216,1),(256,1),(258,1),(268,1),(294,1),(298,1)}
       102:{2,3,5}:{(72,1),(75,1),(135,1),(136,1),(140,1),(207,1),(214,1),(267,1),(297,1)}
       103:{1,3,7}:{(73,1),(133,1),(137,1)}
       104:{1,2,4,6}:{(73,1),(74,1),(77,1),(134,1),(137,1),(138,1),(205,1),(298,1),(299,1),(311,1)}
       105:{1,5}:{(74,1),(75,1)}
       106:{2,4,5}:{(75,1),(76,1),(79,1),(139,1),(140,1),(207,1)}
       107:{1,2,5,6}:{(77,1),(78,1),(80,1),(138,1),(141,1),(149,1),(155,1),(207,1),(219,1)}
       108:{1,4,6}:{(78,1),(79,1),(81,1),(139,1),(205,1)}
       109:{3,4,6}:{(79,1),(82,1),(91,1),(140,1),(216,1),(258,1)}
       110:{1,2,4,7}:{(80,1),(81,1),(141,1),(143,1),(144,1),(194,1),(254,1),(291,1)}
       111:{1,3,4,7}:{(81,1),(82,1),(92,1),(142,1),(143,1),(144,1)}
       112:{1,2,5,7}:{(83,1),(132,1),(145,1),(146,1),(156,1),(201,1)}
       113:{2,3,5,7}:{(83,1),(86,1),(133,1),(145,1),(147,1),(148,1),(202,1),(214,1)}
       114:{2,6}:{(83,1),(84,1)}
       115:{1,3,5,6}:{(84,1),(85,1),(88,1),(125,1),(135,1),(149,1),(150,1),(216,1),(219,1),(268,1)}
       116:{2,4,6}:{(85,1),(126,1),(136,1),(150,1),(151,1)}
       117:{1,3,4,7}:{(86,1),(147,1),(152,1),(197,1),(205,1),(252,1),(258,1)}
       118:{1,3,6}:{(86,1),(87,1),(148,1),(216,1),(290,1)}
       119:{1,2,5,6}:{(87,1),(88,1),(128,1),(138,1),(149,1),(153,1),(214,1),(250,1),(299,1)}
       120:{1,4,5,6}:{(88,1),(89,1),(90,1),(129,1),(139,1),(150,1),(154,1),(264,1),(286,1)}
       121:{3,5,6}:{(89,1),(91,1),(130,1),(140,1),(151,1),(216,1),(267,1),(290,1)}
       122:{1,3,6}:{(90,1),(91,1),(92,1),(155,1)}
       123:{2,5,7}:{(92,1),(144,1),(155,1),(156,1),(207,1)}
       124:{2,6,7}:{(93,1),(114,1),(159,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(96,1),(115,1),(159,1),(160,1),(225,1),(229,1),(275,1)}
       126:{2,4,7}:{(94,1),(116,1),(160,1),(161,1)}
       127:{1,3,6,7}:{(95,1),(118,1),(158,1),(163,1),(225,1),(313,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(119,1),(159,1),(163,1),(223,1),(303,1)}
       129:{1,4,5,7}:{(96,1),(97,1),(98,1),(120,1),(160,1),(164,1)}
       130:{3,5,7}:{(97,1),(99,1),(121,1),(161,1),(225,1)}
       131:{1,3,6,7}:{(98,1),(99,1),(122,1),(164,1),(165,1),(300,1)}
       132:{1,2,4,7}:{(100,1),(112,1),(166,1),(167,1),(178,1),(179,1),(239,1)}
       133:{2,3,7}:{(100,1),(103,1),(166,1),(168,1),(225,1)}
       134:{2,4,6}:{(100,1),(101,1),(114,1),(168,1),(169,1),(232,1),(285,1),(306,1)}
       135:{1,3,5}:{(101,1),(102,1),(105,1),(169,1),(170,1),(233,1),(237,1),(240,1),(308,1)}
       136:{2,4,5}:{(102,1),(116,1),(170,1),(171,1),(232,1)}
       137:{1,3,6}:{(103,1),(104,1),(168,1),(172,1),(314,1)}
       138:{1,2,5}:{(104,1),(105,1),(169,1),(172,1),(308,1)}
       139:{1,4,5}:{(105,1),(106,1),(108,1),(174,1)}
       140:{3,5}:{(106,1),(109,1)}
       141:{1,2,4,6}:{(107,1),(108,1),(110,1),(173,1),(175,1),(176,1),(184,1),(246,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(111,1),(122,1),(174,1),(175,1),(176,1),(235,1)}
       143:{1,3,7}:{(110,1),(175,1),(177,1),(225,1)}
       144:{2,4,7}:{(111,1),(123,1),(176,1),(177,1),(178,1)}
       145:{1,3,5,7}:{(112,1),(113,1),(166,1),(179,1),(180,1),(230,1),(240,1)}
       146:{1,2,6}:{(112,1),(114,1),(180,1),(189,1)}
       147:{2,4,7}:{(113,1),(117,1),(179,1),(182,1),(232,1)}
       148:{2,3,6}:{(113,1),(114,1),(118,1),(180,1),(182,1)}
       149:{2,5,6}:{(114,1),(115,1),(159,1),(169,1),(184,1),(285,1)}
       150:{1,4,6}:{(115,1),(116,1),(160,1),(170,1),(184,1)}
       151:{3,4,6}:{(116,1),(121,1),(161,1),(171,1)}
       152:{1,3,4,6}:{(117,1),(118,1),(182,1),(186,1),(187,1),(244,1)}
       153:{1,3,5,6}:{(118,1),(119,1),(163,1),(172,1),(183,1),(186,1),(187,1),(284,1),(308,1),(313,1)}
       154:{1,3,5,6}:{(120,1),(121,1),(122,1),(164,1),(174,1),(185,1),(188,1),(282,1),(300,1)}
       155:{2,6}:{(122,1),(123,1),(189,1)}
       156:{1,5,7}:{(123,1),(178,1),(189,1),(237,1)}
       157:{1,2,6,7}:{(124,1),(146,1),(190,1),(191,1),(199,1),(309,1)}
       158:{2,3,6,7}:{(124,1),(127,1),(148,1),(190,1),(192,1),(193,1),(290,1),(309,1)}
       159:{2,5,7}:{(124,1),(125,1),(149,1),(194,1),(291,1)}
       160:{1,4,7}:{(125,1),(126,1),(150,1),(194,1)}
       161:{3,4,7}:{(126,1),(130,1),(151,1)}
       162:{1,3,4,6,7}:{(127,1),(152,1),(192,1),(196,1),(197,1),(252,1),(255,1),(290,1)}
       163:{1,3,5,7}:{(127,1),(128,1),(153,1),(193,1),(197,1),(289,1),(310,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(131,1),(154,1),(195,1),(198,1)}
       165:{2,6,7}:{(131,1),(155,1),(198,1),(199,1),(309,1)}
       166:{1,3,7}:{(132,1),(133,1),(200,1)}
       167:{1,2,4,6}:{(132,1),(134,1),(146,1),(200,1),(201,1),(209,1),(211,1),(256,1),(263,1),(296,1)}
       168:{2,3,6}:{(133,1),(134,1),(137,1),(200,1),(202,1),(216,1),(312,1)}
       169:{2,5}:{(134,1),(135,1)}
       170:{1,4,5}:{(135,1),(136,1),(150,1),(203,1),(205,1),(256,1)}
       171:{3,4,5}:{(136,1),(140,1),(151,1),(258,1),(267,1)}
       172:{1,3,5}:{(137,1),(138,1),(202,1),(205,1)}
       173:{1,2,4,5}:{(138,1),(139,1),(141,1),(203,1),(205,1),(206,1),(207,1),(260,1),(261,1),(295,1),(311,1)}
       174:{1,3,5}:{(139,1),(140,1),(142,1),(207,1)}
       175:{1,3,6}:{(141,1),(143,1),(206,1),(208,1),(216,1)}
       176:{2,4,6}:{(142,1),(144,1),(155,1),(207,1),(208,1),(209,1),(261,1)}
       177:{2,3,7}:{(143,1),(144,1),(208,1),(210,1),(291,1)}
       178:{1,4,7}:{(144,1),(156,1),(209,1),(210,1)}
       179:{1,4,7}:{(145,1),(147,1),(211,1),(256,1)}
       180:{1,3,6}:{(145,1),(146,1),(148,1),(211,1)}
       181:{1,2,5,6}:{(146,1),(149,1),(191,1),(201,1),(212,1),(213,1),(219,1),(297,1),(309,1)}
       182:{2,4,6}:{(147,1),(148,1),(152,1),(211,1),(214,1)}
       183:{2,3,5,6}:{(148,1),(149,1),(153,1),(193,1),(202,1),(212,1),(214,1),(215,1),(216,1),(250,1),(266,1),(267,1),(290,1),(297,1),(309,1)}
       184:{2,4,6}:{(149,1),(150,1),(194,1),(203,1),(216,1)}
       185:{1,3,4,6}:{(150,1),(151,1),(154,1),(195,1),(204,1),(216,1),(217,1),(268,1)}
       186:{1,3,5}:{(152,1),(214,1),(218,1),(267,1)}
       187:{1,4,6}:{(153,1),(197,1),(205,1),(215,1),(218,1)}
       188:{2,5,6}:{(154,1),(155,1),(198,1),(207,1),(217,1),(219,1),(297,1),(309,1)}
       189:{1,6}:{(155,1),(156,1)}
       190:{1,3,6,7}:{(157,1),(158,1),(180,1),(220,1),(221,1),(300,1)}
       191:{1,2,5,7}:{(157,1),(159,1),(181,1),(221,1),(222,1),(229,1),(301,1)}
       192:{2,4,6,7}:{(158,1),(162,1),(182,1),(220,1),(223,1),(224,1),(273,1)}
       193:{2,3,5,7}:{(158,1),(159,1),(163,1),(183,1),(221,1),(223,1),(224,1),(225,1),(272,1),(274,1),(301,1)}
       194:{2,4,7}:{(159,1),(160,1),(184,1),(225,1)}
       195:{1,3,4,7}:{(160,1),(161,1),(164,1),(185,1),(225,1),(226,1),(275,1)}
       196:{1,3,5,7}:{(162,1),(186,1),(223,1),(227,1),(228,1),(274,1)}
       197:{1,4,7}:{(163,1),(187,1),(224,1)}
       198:{2,5,7}:{(164,1),(165,1),(188,1),(226,1),(229,1)}
       199:{1,6,7}:{(165,1),(189,1),(229,1),(313,1)}
       200:{1,3,6}:{(166,1),(167,1),(168,1),(230,1),(307,1)}
       201:{1,2,5}:{(167,1),(169,1),(230,1),(237,1),(240,1)}
       202:{2,3,5}:{(168,1),(169,1),(172,1),(230,1),(232,1),(233,1)}
       203:{2,4,5}:{(169,1),(170,1),(184,1),(232,1),(233,1)}
       204:{1,3,4,5}:{(170,1),(171,1),(174,1),(185,1),(233,1),(234,1),(235,1),(276,1),(279,1),(282,1)}
       205:{1,4}:{(172,1),(232,1)}
       206:{1,3,5}:{(173,1),(175,1),(233,1),(235,1),(236,1),(314,1)}
       207:{2,5}:{(174,1),(176,1),(237,1)}
       208:{2,3,6}:{(175,1),(176,1),(177,1),(236,1),(238,1),(285,1)}
       209:{1,4,6}:{(176,1),(178,1),(189,1),(237,1),(238,1),(280,1)}
       210:{1,3,7}:{(177,1),(178,1),(238,1),(239,1)}
       211:{1,4,6}:{(179,1),(180,1),(182,1),(240,1)}
       212:{1,3,5,6}:{(180,1),(181,1),(183,1),(221,1),(230,1),(240,1),(241,1),(242,1),(269,1),(282,1),(300,1)}
       213:{1,2,4,6}:{(181,1),(184,1),(222,1),(231,1),(241,1),(242,1),(246,1),(283,1),(285,1)}
       214:{2,5}:{(182,1),(186,1),(240,1)}
       215:{2,4,6}:{(183,1),(187,1),(224,1),(232,1),(241,1),(243,1),(244,1)}
       216:{3,6}:{(184,1),(225,1),(233,1)}
       217:{2,4,6}:{(185,1),(188,1),(226,1),(234,1),(245,1),(246,1),(285,1)}
       218:{1,4,5}:{(186,1),(187,1),(243,1),(308,1)}
       219:{1,5,6}:{(188,1),(189,1),(229,1),(237,1),(246,1),(308,1),(313,1)}
       220:{1,4,6,7}:{(190,1),(192,1),(211,1),(247,1),(248,1),(286,1)}
       221:{1,3,5,7}:{(190,1),(191,1),(193,1),(212,1),(247,1),(248,1),(249,1)}
       222:{1,2,4,7}:{(191,1),(194,1),(213,1),(248,1),(249,1),(254,1),(288,1),(291,1)}
       223:{2,5,7}:{(192,1),(196,1),(214,1),(247,1),(250,1)}
       224:{2,4,7}:{(193,1),(197,1),(215,1),(248,1),(252,1)}
       225:{3,7}:{(194,1),(216,1)}
       226:{2,4,7}:{(195,1),(198,1),(217,1),(253,1),(254,1),(291,1)}
       227:{1,3,5,6}:{(196,1),(250,1),(255,1),(290,1)}
       228:{1,4,5,7}:{(196,1),(197,1),(218,1),(251,1),(255,1),(310,1)}
       229:{1,5,7}:{(198,1),(199,1),(219,1),(254,1)}
       230:{1,3,5}:{(200,1),(201,1),(202,1),(256,1)}
       231:{1,2,4,5}:{(201,1),(203,1),(213,1),(256,1),(257,1),(260,1),(264,1),(292,1),(295,1),(296,1),(297,1)}
       232:{2,4}:{(202,1),(205,1),(256,1),(258,1)}
       233:{3,5}:{(203,1),(216,1),(258,1)}
       234:{2,4,5}:{(204,1),(207,1),(217,1),(259,1),(260,1),(261,1),(292,1),(295,1),(297,1)}
       235:{1,3,4}:{(205,1),(206,1),(258,1),(261,1)}
       236:{2,3,5}:{(206,1),(207,1),(208,1),(261,1),(262,1),(295,1),(312,1)}
       237:{1,5}:{(207,1),(209,1)}
       238:{1,3,6}:{(208,1),(209,1),(210,1),(262,1),(263,1)}
       239:{1,2,7}:{(210,1),(263,1),(291,1)}
       240:{1,5}:{(211,1),(214,1)}
       241:{1,4,6}:{(212,1),(215,1),(248,1),(256,1),(264,1)}
       242:{1,3,6}:{(213,1),(216,1),(249,1),(257,1),(266,1)}
       243:{2,4,5}:{(214,1),(215,1),(218,1),(264,1),(267,1),(297,1)}
       244:{3,4,6}:{(215,1),(216,1),(252,1),(258,1),(267,1),(290,1)}
       245:{2,3,6}:{(216,1),(217,1),(253,1),(259,1),(268,1)}
       246:{1,4,6}:{(217,1),(219,1),(254,1),(260,1),(268,1)}
       247:{1,5,7}:{(220,1),(223,1),(240,1),(269,1)}
       248:{1,4,7}:{(221,1),(224,1),(241,1)}
       249:{1,3,7}:{(222,1),(225,1),(242,1),(272,1)}
       250:{2,5,6}:{(223,1),(227,1),(269,1),(273,1)}
       251:{2,4,5,7}:{(223,1),(224,1),(228,1),(243,1),(270,1),(273,1),(274,1),(301,1)}
       252:{3,4,7}:{(224,1),(225,1),(244,1),(274,1)}
       253:{2,3,7}:{(225,1),(226,1),(245,1),(275,1)}
       254:{1,4,7}:{(226,1),(229,1),(246,1),(275,1)}
       255:{1,4,6}:{(227,1),(228,1),(273,1),(313,1)}
       256:{1,4}:{(230,1),(232,1)}
       257:{1,3,5}:{(231,1),(233,1),(242,1),(276,1),(277,1),(307,1)}
       258:{3,4}:{(232,1),(233,1)}
       259:{2,3,5}:{(233,1),(234,1),(245,1),(278,1),(279,1)}
       260:{1,4,5}:{(234,1),(237,1),(246,1),(279,1),(280,1),(304,1),(308,1)}
       261:{2,4}:{(235,1),(236,1),(280,1)}
       262:{1,3,5}:{(236,1),(237,1),(238,1),(280,1),(281,1),(307,1)}
       263:{1,2,6}:{(238,1),(239,1),(281,1),(285,1)}
       264:{1,4,5}:{(240,1),(241,1),(243,1),(282,1)}
       265:{1,3,4,6}:{(241,1),(242,1),(244,1),(271,1),(276,1),(282,1),(283,1),(300,1)}
       266:{2,3,6}:{(242,1),(272,1),(277,1),(283,1),(284,1),(285,1)}
       267:{3,5}:{(243,1),(244,1)}
       268:{1,3,6}:{(245,1),(246,1),(275,1),(279,1),(285,1)}
       269:{1,5,6}:{(247,1),(250,1),(286,1)}
       270:{1,4,5,7}:{(247,1),(248,1),(251,1),(264,1),(286,1),(287,1)}
       271:{1,3,4,7}:{(248,1),(249,1),(252,1),(265,1),(287,1),(288,1)}
       272:{2,3,7}:{(249,1),(266,1),(288,1),(289,1),(291,1)}
       273:{2,4,6}:{(250,1),(251,1),(255,1),(286,1),(290,1),(309,1)}
       274:{3,5,7}:{(251,1),(252,1),(267,1),(290,1)}
       275:{1,3,7}:{(253,1),(254,1),(268,1),(291,1)}
       276:{1,3,4}:{(256,1),(257,1),(258,1),(292,1)}
       277:{2,3,5}:{(257,1),(266,1),(292,1),(293,1),(295,1),(297,1),(312,1)}
       278:{2,3,4}:{(258,1),(259,1),(261,1),(292,1),(294,1),(312,1)}
       279:{1,3,5}:{(259,1),(260,1),(268,1),(294,1),(295,1)}
       280:{1,4}:{(261,1),(262,1)}
       281:{1,2,5}:{(262,1),(263,1),(295,1),(296,1)}
       282:{1,3,5}:{(264,1),(265,1),(267,1),(297,1)}
       283:{2,4,6}:{(265,1),(266,1),(288,1),(292,1),(297,1),(298,1),(309,1)}
       284:{1,3,6}:{(266,1),(289,1),(293,1),(298,1),(299,1)}
       285:{2,6}:{(268,1),(291,1),(295,1)}
       286:{1,4,6}:{(269,1),(270,1),(273,1),(300,1)}
       287:{1,3,5,7}:{(270,1),(271,1),(274,1),(282,1),(300,1),(301,1)}
       288:{2,4,7}:{(271,1),(272,1),(283,1),(301,1),(302,1)}
       289:{1,3,7}:{(272,1),(284,1),(302,1),(303,1)}
       290:{3,6}:{(273,1),(274,1)}
       291:{2,7}:{(275,1),(285,1)}
       292:{2,4}:{(276,1),(277,1),(304,1)}
       293:{1,3,5}:{(277,1),(284,1),(304,1),(305,1),(308,1),(314,1)}
       294:{1,3,4}:{(278,1),(279,1),(280,1),(304,1),(306,1),(307,1),(314,1)}
       295:{2,5}:{(279,1),(285,1),(306,1)}
       296:{1,2,4}:{(280,1),(281,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(283,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(302,1),(304,1),(308,1),(313,1)}
       299:{1,2,6}:{(284,1),(285,1),(303,1),(305,1)}
       300:{1,3,6}:{(286,1),(287,1),(290,1),(309,1)}
       301:{2,5,7}:{(287,1),(288,1),(297,1),(309,1),(310,1)}
       302:{1,4,7}:{(288,1),(289,1),(298,1),(310,1)}
       303:{1,2,7}:{(289,1),(291,1),(299,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(295,1),(299,1),(311,1)}
       306:{2,4}:{(294,1),(295,1),(312,1)}
       307:{1,3}:{(296,1),(312,1)}
       308:{1,5}:{(297,1),(298,1)}
       309:{2,6}:{(300,1),(301,1),(313,1)}
       310:{1,5,7}:{(301,1),(302,1),(308,1),(313,1)}
       311:{1,2,4}:{(304,1),(305,1),(306,1),(314,1)}
       312:{2,3}:{(306,1),(307,1),(314,1)}
       313:{1,6}:{(309,1),(310,1)}
       314:{1,3}:{(311,1),(312,1)}

1717 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(39,1),(48,1),(79,1),(87,1),(88,1),(90,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(23,1),(27,1),(34,1),(61,1),(66,1),(68,1),(72,1),(100,1),(102,1),(111,1),(112,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(56,1),(98,1),(109,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(123,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(120,1),(122,1),(134,1),(154,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(124,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(120,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(4,1),(21,1),(22,1),(56,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(5,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(23,1),(29,1),(66,1),(73,1),(103,1),(139,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(140,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(61,1),(71,1),(101,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(56,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(142,1),(146,1),(163,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(143,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(36,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(14,1),(41,1),(81,1),(94,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(15,1),(40,1),(41,1),(120,1),(134,1),(153,1)}
        25:{2,4,5,6}:{(13,1),(36,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(41,1),(45,1),(48,1),(49,1),(153,1),(169,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(77,1),(82,1),(91,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(124,1),(154,1),(170,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,4,5,7}:{(22,1),(25,1),(55,1),(56,1),(98,1),(162,1)}
        37:{2,5,6,7}:{(21,1),(26,1),(57,1),(98,1),(139,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(27,1),(55,1),(57,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(56,1)}
        40:{1,2,5,6}:{(24,1),(26,1),(59,1),(60,1),(108,1),(116,1),(140,1),(146,1),(150,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(29,1),(59,1),(61,1)}
        42:{1,2,4,5,7}:{(24,1),(30,1),(60,1),(61,1),(62,1),(70,1),(101,1),(104,1),(113,1),(117,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(55,1),(63,1),(64,1),(71,1),(101,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(56,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(59,1),(65,1),(66,1),(73,1),(103,1),(109,1),(114,1),(140,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(61,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(98,1),(104,1),(113,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,4,5,7}:{(36,1),(38,1),(43,1),(76,1),(77,1),(120,1),(152,1)}
        56:{3,5,7}:{(36,1),(39,1),(44,1),(169,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(46,1),(76,1),(78,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(47,1),(77,1),(78,1),(79,1),(118,1),(121,1),(152,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(80,1),(81,1),(94,1),(122,1),(134,1),(161,1)}
        60:{1,2,4,6}:{(40,1),(42,1),(46,1),(80,1),(81,1),(89,1),(123,1),(132,1),(158,1)}
        61:{1,4,7}:{(41,1),(48,1),(80,1)}
        62:{1,3,5,7}:{(42,1),(49,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(76,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(77,1),(84,1),(85,1),(92,1),(122,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(80,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(169,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(169,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(120,1),(125,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(57,1),(63,1),(97,1),(98,1),(137,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(58,1),(64,1),(97,1),(98,1)}
        78:{3,6,7}:{(57,1),(66,1),(97,1)}
        79:{2,4,6,7}:{(58,1),(67,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(61,1),(65,1),(101,1),(168,1)}
        81:{1,3,6}:{(60,1),(62,1),(66,1),(103,1),(166,1)}
        82:{1,3,4,7}:{(61,1),(62,1),(68,1),(102,1),(104,1),(168,1),(174,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(113,1),(140,1),(149,1),(167,1)}
        84:{3,5,6}:{(63,1),(66,1),(97,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(98,1),(108,1),(114,1),(140,1)}
        86:{2,4,5}:{(65,1),(71,1),(101,1),(109,1),(114,1),(140,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(104,1),(110,1),(112,1),(137,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(78,1),(84,1),(118,1)}
        98:{2,5,7}:{(77,1),(79,1),(85,1),(120,1)}
        99:{2,3,6,7}:{(78,1),(79,1),(88,1),(119,1),(121,1),(169,1)}
       100:{1,4,6,7}:{(79,1),(89,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(86,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(87,1),(122,1),(123,1)}
       103:{2,3,6}:{(81,1),(83,1),(123,1),(124,1),(132,1)}
       104:{2,4,7}:{(82,1),(83,1),(123,1),(125,1),(172,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,4,6}:{(84,1),(118,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(119,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(120,1),(134,1),(154,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(123,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(125,1),(131,1),(133,1),(136,1),(152,1),(156,1),(169,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{3,4,7}:{(97,1),(106,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1)}
       120:{1,5,7}:{(98,1),(100,1),(108,1)}
       121:{1,3,6,7}:{(99,1),(100,1),(111,1),(138,1),(139,1)}
       122:{1,3,5}:{(101,1),(102,1),(109,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,3,6}:{(103,1),(105,1),(141,1),(142,1)}
       125:{1,4,7}:{(104,1),(105,1),(141,1),(173,1)}
       126:{1,2,5,7}:{(105,1),(113,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(137,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(138,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(140,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(141,1),(145,1),(147,1),(148,1),(151,1),(164,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(128,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(129,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(121,1),(132,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,6}:{(124,1),(126,1),(132,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(133,1),(155,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(152,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(153,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(154,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(156,1),(160,1),(169,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(145,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(146,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(148,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(162,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(159,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(169,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(166,1)}
       170:{1,3,5}:{(163,1),(164,1),(167,1),(173,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1718 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(98,1),(252,1),(334,1),(353,1),(361,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(44,1),(45,1),(232,1),(248,1),(257,1),(353,1),(366,1),(442,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(129,1),(201,1),(300,1),(402,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(28,1),(68,1),(283,1),(310,1),(408,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(62,1),(302,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(16,1),(39,1),(45,1),(155,1),(246,1),(255,1),(361,1),(367,1),(448,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(13,1),(171,1),(442,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(41,1),(442,1),(454,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(92,1),(448,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(45,1),(257,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(30,1),(57,1),(70,1),(115,1),(121,1),(129,1),(196,1),(203,1),(319,1),(324,1),(416,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(308,1),(414,1)}
        12:{1,2,4,5,6}:{(7,1),(25,1),(26,1),(27,1),(62,1),(63,1),(109,1),(132,1),(188,1),(204,1),(314,1),(322,1),(413,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(27,1),(132,1),(300,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(28,1),(30,1),(310,1)}
        17:{2,3,4,6}:{(9,1),(29,1),(30,1),(31,1),(62,1),(70,1),(214,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(104,1),(151,1),(182,1),(243,1),(273,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(48,1),(80,1),(82,1),(101,1),(151,1),(172,1),(273,1),(277,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(162,1),(171,1),(254,1),(374,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(35,1),(39,1),(45,1),(246,1),(259,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(39,1),(448,1),(454,1)}
        23:{1,3,4,5}:{(15,1),(38,1),(41,1),(454,1),(458,1)}
        24:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(171,1),(238,1),(338,1),(347,1),(360,1)}
        25:{1,2,4,5,7}:{(12,1),(42,1),(43,1),(90,1),(92,1),(147,1),(171,1),(236,1),(256,1),(360,1),(368,1),(448,1)}
        26:{1,3,5,6}:{(12,1),(15,1),(38,1),(43,1),(44,1),(45,1),(257,1),(372,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(39,1),(45,1),(95,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(16,1),(45,1),(46,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(47,1)}
        30:{2,3,4,7}:{(16,1),(17,1),(46,1),(48,1),(92,1),(266,1)}
        31:{1,3,4,6}:{(17,1),(47,1),(48,1),(49,1),(93,1),(101,1),(174,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(73,1),(111,1),(139,1),(203,1),(230,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(112,1),(295,1),(325,1),(480,1),(519,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(54,1),(55,1),(220,1),(329,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(70,1),(124,1),(132,1),(196,1),(206,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(416,1),(420,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(60,1),(67,1),(128,1),(296,1),(308,1),(408,1)}
        38:{1,3,4,6}:{(23,1),(26,1),(61,1),(62,1),(413,1),(419,1)}
        39:{1,4,6}:{(21,1),(22,1),(57,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(28,1),(58,1),(61,1),(64,1),(65,1),(128,1)}
        41:{2,4,5}:{(23,1),(29,1),(62,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(60,1),(67,1),(129,1),(190,1),(287,1),(386,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(61,1),(67,1),(68,1),(310,1),(415,1)}
        44:{2,3,5,6}:{(26,1),(29,1),(62,1),(68,1),(69,1),(70,1),(132,1),(188,1),(214,1)}
        45:{1,3,6}:{(27,1),(28,1),(70,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(70,1),(71,1)}
        47:{1,3,5}:{(29,1),(31,1),(66,1),(72,1)}
        48:{1,3,4,7}:{(30,1),(31,1),(71,1),(73,1),(130,1),(222,1)}
        49:{1,2,4,6}:{(31,1),(72,1),(73,1),(74,1),(139,1),(141,1)}
        50:{1,3,4,5,6}:{(38,1),(75,1),(76,1),(94,1),(144,1),(166,1),(241,1),(268,1),(372,1),(433,1)}
        51:{1,2,5,7}:{(32,1),(34,1),(77,1),(254,1),(280,1)}
        52:{1,2,3,5,6}:{(33,1),(77,1),(79,1),(151,1),(153,1),(182,1),(245,1),(276,1),(280,1),(451,1),(502,1),(505,1)}
        53:{1,2,4,7}:{(33,1),(79,1),(80,1),(345,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(77,1),(82,1),(101,1),(151,1),(175,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(378,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(84,1),(98,1),(162,1),(171,1),(243,1),(254,1),(338,1),(369,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(39,1),(82,1),(87,1)}
        58:{3,4,5,7}:{(36,1),(87,1),(162,1),(455,1),(458,1)}
        59:{2,3,4,5}:{(41,1),(85,1),(89,1),(170,1),(341,1),(458,1)}
        60:{1,4,6,7}:{(37,1),(39,1),(84,1),(90,1),(448,1)}
        61:{1,3,4,7}:{(38,1),(43,1),(92,1),(448,1),(455,1)}
        62:{2,4,6}:{(38,1),(41,1),(44,1),(92,1),(93,1)}
        63:{1,4,5,6}:{(39,1),(86,1),(90,1),(94,1),(259,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(87,1),(94,1),(95,1)}
        65:{2,4,5,7}:{(40,1),(41,1),(46,1),(92,1),(95,1),(96,1),(171,1)}
        66:{1,4,5}:{(41,1),(47,1),(93,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(45,1),(98,1),(428,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(92,1),(98,1),(99,1),(171,1),(236,1),(266,1)}
        69:{1,3,5,6}:{(44,1),(47,1),(93,1),(99,1),(100,1),(101,1),(174,1),(175,1)}
        70:{2,3,6}:{(45,1),(46,1),(95,1),(101,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(48,1),(96,1),(101,1),(102,1)}
        72:{1,2,5}:{(47,1),(49,1)}
        73:{1,2,4,7}:{(48,1),(49,1),(102,1),(104,1)}
        74:{1,2,3,6}:{(49,1),(103,1),(104,1),(174,1)}
        75:{1,3,4,5,7}:{(50,1),(61,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(62,1),(105,1),(108,1),(109,1),(132,1),(188,1),(289,1),(467,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(111,1),(139,1),(206,1)}
        78:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(111,1),(112,1),(113,1),(119,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(113,1),(114,1),(298,1),(328,1),(526,1)}
        80:{1,3,4,7}:{(53,1),(112,1),(114,1),(115,1),(519,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(110,1),(116,1),(136,1),(194,1),(202,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(112,1),(118,1),(119,1),(198,1),(202,1),(294,1)}
        84:{2,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(120,1),(121,1),(416,1)}
        85:{2,3,4,6}:{(59,1),(62,1),(105,1),(122,1),(123,1),(214,1),(289,1),(419,1)}
        86:{2,4,5,6}:{(57,1),(63,1),(117,1),(120,1),(124,1),(132,1),(206,1)}
        87:{3,4,6}:{(57,1),(58,1),(124,1)}
        88:{2,3,4,5,7}:{(58,1),(59,1),(65,1),(119,1),(122,1),(125,1),(126,1),(211,1),(218,1),(303,1),(389,1),(393,1),(416,1),(420,1),(488,1),(528,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(123,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(63,1),(120,1),(128,1),(308,1)}
        91:{1,3,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(121,1),(128,1),(129,1)}
        92:{2,4,7}:{(61,1),(62,1),(68,1),(130,1)}
        93:{1,4,6}:{(62,1),(66,1),(69,1),(130,1)}
        94:{1,3,5,6}:{(63,1),(64,1),(124,1),(128,1),(132,1)}
        95:{2,4,6}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
        96:{1,4,5,7}:{(65,1),(66,1),(71,1),(130,1),(133,1),(220,1)}
        97:{1,2,4,5}:{(66,1),(72,1),(127,1),(131,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(70,1),(129,1),(136,1),(287,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(130,1),(136,1),(137,1),(220,1),(222,1)}
       100:{1,2,5,6}:{(69,1),(72,1),(131,1),(137,1),(139,1),(188,1)}
       101:{1,3,6}:{(70,1),(71,1),(133,1),(139,1)}
       102:{1,2,5,7}:{(71,1),(72,1),(73,1),(139,1)}
       103:{1,2,3,5}:{(72,1),(74,1),(135,1),(141,1)}
       104:{1,2,3,7}:{(73,1),(74,1),(222,1)}
       105:{2,3,5,6}:{(76,1),(85,1),(143,1),(144,1),(372,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(92,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(93,1),(144,1),(147,1),(175,1),(336,1),(494,1)}
       110:{1,2,5,6,7}:{(77,1),(81,1),(149,1),(179,1),(254,1),(272,1),(333,1),(338,1)}
       111:{1,2,4,6}:{(77,1),(78,1),(82,1),(151,1),(159,1)}
       112:{1,3,5,7}:{(78,1),(80,1),(151,1),(152,1),(153,1)}
       113:{1,2,4,5}:{(79,1),(153,1),(249,1),(280,1),(378,1)}
       114:{1,3,4,6}:{(79,1),(80,1),(151,1),(153,1),(154,1),(502,1),(506,1)}
       115:{2,3,4,7}:{(80,1),(152,1),(154,1),(155,1),(345,1),(498,1)}
       116:{1,4,6,7}:{(81,1),(82,1),(84,1),(156,1),(375,1)}
       117:{1,4,5,6}:{(82,1),(86,1),(156,1),(158,1),(175,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(87,1),(151,1),(158,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(152,1),(159,1),(160,1),(249,1),(254,1),(345,1)}
       120:{2,4,5,7}:{(84,1),(86,1),(90,1),(156,1),(162,1),(171,1),(254,1)}
       121:{3,4,6,7}:{(84,1),(87,1),(162,1),(428,1),(455,1)}
       122:{2,3,4,7}:{(85,1),(92,1),(143,1),(164,1),(266,1),(340,1),(455,1)}
       123:{1,3,4,6}:{(85,1),(89,1),(93,1),(144,1),(164,1),(165,1),(174,1),(257,1),(336,1)}
       124:{3,5,6}:{(86,1),(87,1),(162,1)}
       125:{2,3,4,6}:{(87,1),(88,1),(95,1),(159,1),(167,1),(168,1),(270,1),(373,1),(431,1),(513,1),(541,1)}
       126:{1,3,4,5,7}:{(88,1),(89,1),(96,1),(160,1),(164,1),(168,1),(169,1),(177,1),(261,1),(264,1),(355,1),(375,1),(378,1),(427,1),(434,1),(448,1),(454,1),(455,1),(458,1),(540,1)}
       127:{2,4,5}:{(89,1),(165,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(94,1),(162,1),(171,1)}
       129:{2,4,6,7}:{(91,1),(92,1),(95,1),(98,1),(171,1),(172,1)}
       130:{1,4,7}:{(92,1),(93,1),(99,1)}
       131:{1,2,4,6}:{(93,1),(97,1),(100,1),(165,1),(173,1),(174,1)}
       132:{2,5,6}:{(94,1),(95,1),(171,1),(175,1)}
       133:{1,4,6}:{(95,1),(96,1),(101,1),(175,1)}
       134:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(169,1),(173,1),(176,1),(177,1),(183,1),(272,1),(280,1),(375,1),(378,1),(443,1),(497,1),(540,1),(550,1)}
       135:{1,3,5}:{(97,1),(170,1),(174,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(101,1),(172,1),(179,1)}
       137:{1,2,5,7}:{(99,1),(100,1),(173,1),(179,1),(236,1)}
       138:{1,2,3,5,6}:{(100,1),(103,1),(174,1),(180,1),(181,1),(182,1),(237,1),(275,1),(276,1),(280,1),(377,1),(379,1)}
       139:{1,2,6}:{(101,1),(102,1)}
       140:{1,2,3,5,7}:{(102,1),(103,1),(104,1),(177,1),(182,1),(183,1),(280,1),(505,1),(534,1),(550,1)}
       141:{1,2,4}:{(103,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(122,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(123,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(130,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(131,1),(188,1),(191,1),(192,1),(224,1),(229,1),(289,1),(322,1),(328,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,6,7}:{(110,1),(111,1),(116,1),(193,1),(194,1),(203,1),(381,1),(386,1),(460,1)}
       150:{1,2,4,5,6}:{(111,1),(113,1),(117,1),(193,1),(195,1),(206,1),(224,1),(298,1),(313,1),(322,1),(328,1),(411,1),(474,1)}
       151:{1,3,6}:{(111,1),(112,1),(196,1)}
       152:{2,3,5,7}:{(112,1),(115,1),(119,1),(196,1),(197,1),(199,1)}
       153:{1,3,5}:{(113,1),(114,1),(199,1)}
       154:{2,3,4,6}:{(114,1),(115,1),(196,1),(199,1),(200,1),(298,1),(475,1),(479,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(394,1),(470,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(202,1),(220,1)}
       157:{1,3,4,6,7}:{(116,1),(118,1),(121,1),(194,1),(202,1),(203,1),(294,1)}
       158:{1,3,5,6}:{(117,1),(118,1),(124,1),(202,1),(206,1)}
       159:{2,4,6}:{(118,1),(119,1),(196,1),(206,1),(207,1)}
       160:{1,4,5,7}:{(119,1),(197,1),(207,1),(304,1),(308,1),(394,1)}
       161:{1,2,4,5}:{(127,1),(204,1),(209,1),(302,1),(385,1),(398,1)}
       162:{3,5,7}:{(120,1),(121,1),(124,1)}
       163:{2,3,4,6,7}:{(121,1),(122,1),(125,1),(129,1),(186,1),(203,1),(211,1),(212,1),(285,1),(319,1),(380,1),(388,1),(393,1),(416,1),(465,1),(515,1)}
       164:{1,3,4,7}:{(122,1),(123,1),(130,1),(187,1),(213,1),(222,1),(310,1),(384,1)}
       165:{2,4,6}:{(123,1),(127,1),(188,1),(213,1),(214,1)}
       166:{3,4,5,6}:{(124,1),(210,1),(215,1),(419,1),(518,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(132,1),(206,1),(211,1),(215,1),(216,1),(467,1),(518,1),(543,1)}
       168:{1,3,4,6}:{(125,1),(126,1),(133,1),(207,1),(216,1),(217,1),(225,1),(315,1),(328,1),(413,1),(419,1),(464,1),(548,1)}
       169:{2,4,5,7}:{(126,1),(127,1),(213,1),(217,1),(218,1),(318,1),(403,1),(416,1),(420,1),(469,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(214,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(132,1),(220,1)}
       172:{1,4,6,7}:{(129,1),(130,1),(133,1),(136,1),(220,1)}
       173:{1,2,4,7}:{(130,1),(131,1),(137,1),(213,1),(222,1)}
       174:{1,3,6}:{(131,1),(135,1),(214,1),(222,1)}
       175:{1,5,6}:{(132,1),(133,1),(220,1)}
       176:{1,2,4,6}:{(133,1),(134,1),(139,1),(217,1),(224,1),(225,1),(328,1),(548,1),(552,1)}
       177:{1,3,5,7}:{(134,1),(135,1),(218,1),(222,1),(225,1),(226,1),(329,1),(478,1),(519,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,5,7}:{(137,1),(138,1),(222,1),(227,1),(228,1),(288,1),(325,1),(327,1),(330,1)}
       181:{1,2,4,6}:{(138,1),(141,1),(223,1),(228,1),(229,1),(289,1),(328,1)}
       182:{1,2,3,6}:{(139,1),(140,1),(225,1),(230,1),(552,1)}
       183:{1,2,4,7}:{(140,1),(141,1),(226,1),(230,1),(526,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(162,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(164,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(165,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(173,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(174,1),(237,1),(240,1),(241,1),(275,1),(372,1),(377,1)}
       193:{1,2,4,5,7}:{(149,1),(150,1),(156,1),(242,1),(254,1),(272,1),(345,1),(359,1),(368,1),(375,1),(446,1),(497,1)}
       194:{1,3,6,7}:{(149,1),(151,1),(242,1),(243,1),(428,1)}
       195:{1,3,5,6}:{(150,1),(151,1),(153,1),(242,1),(244,1),(245,1),(372,1),(502,1)}
       196:{2,3,6}:{(151,1),(152,1),(159,1),(246,1)}
       197:{1,3,5,7}:{(152,1),(155,1),(160,1),(246,1),(247,1),(250,1)}
       198:{1,3,4,5}:{(153,1),(244,1),(249,1),(378,1),(458,1)}
       199:{2,3,5}:{(153,1),(154,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(246,1),(250,1),(251,1),(351,1),(440,1),(445,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(251,1),(252,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(158,1),(162,1),(254,1)}
       203:{2,4,6,7}:{(157,1),(159,1),(243,1),(254,1),(255,1),(345,1)}
       204:{1,2,4,6}:{(161,1),(165,1),(232,1),(256,1),(257,1),(336,1)}
       205:{1,3,4,5,6}:{(158,1),(166,1),(244,1),(253,1),(258,1),(268,1),(364,1),(372,1),(453,1),(533,1)}
       206:{2,5,6}:{(158,1),(159,1),(254,1),(259,1)}
       207:{1,4,6}:{(159,1),(160,1),(246,1),(259,1)}
       208:{1,2,4,5,7}:{(160,1),(161,1),(169,1),(247,1),(256,1),(260,1),(261,1),(354,1),(356,1),(360,1),(427,1),(435,1),(438,1),(442,1),(448,1),(454,1)}
       209:{1,3,5}:{(161,1),(170,1),(257,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(166,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,3,5,7}:{(162,1),(163,1),(167,1),(171,1),(254,1),(263,1),(264,1),(430,1),(495,1),(532,1)}
       212:{1,3,4,6,7}:{(163,1),(164,1),(168,1),(172,1),(235,1),(255,1),(264,1),(265,1),(273,1),(337,1),(361,1),(375,1),(423,1),(426,1),(428,1),(434,1),(448,1),(455,1),(531,1)}
       213:{2,4,7}:{(164,1),(165,1),(236,1),(266,1)}
       214:{2,3,6}:{(165,1),(170,1),(174,1),(257,1),(266,1)}
       215:{2,4,5,6}:{(166,1),(167,1),(263,1),(268,1),(373,1)}
       216:{1,3,5,6}:{(167,1),(168,1),(175,1),(259,1),(264,1),(268,1),(269,1),(372,1),(494,1),(549,1)}
       217:{2,4,6}:{(168,1),(169,1),(269,1),(270,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(177,1),(261,1),(266,1),(270,1),(271,1),(374,1),(444,1),(498,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(175,1)}
       221:{1,2,4,6,7}:{(172,1),(173,1),(176,1),(179,1),(265,1),(272,1),(273,1),(375,1),(490,1),(497,1),(531,1)}
       222:{1,3,7}:{(173,1),(174,1),(266,1)}
       223:{1,3,4,6}:{(174,1),(178,1),(181,1),(267,1),(274,1),(275,1),(377,1)}
       224:{1,2,5,6}:{(175,1),(176,1),(269,1),(272,1),(276,1),(280,1),(549,1)}
       225:{1,3,6}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,7}:{(177,1),(178,1),(183,1),(271,1),(277,1),(375,1),(506,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(273,1),(278,1),(339,1),(377,1),(534,1)}
       228:{1,2,4,7}:{(180,1),(181,1),(274,1),(340,1),(375,1)}
       229:{1,2,4,5}:{(181,1),(275,1),(280,1),(341,1),(378,1)}
       230:{1,2,4,6}:{(182,1),(183,1),(277,1),(280,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(202,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(204,1),(283,1),(284,1),(398,1),(473,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(211,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(213,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(214,1),(284,1),(288,1),(289,1),(321,1),(418,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(222,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(328,1),(419,1)}
       242:{1,3,5,7}:{(193,1),(194,1),(195,1),(294,1),(295,1),(415,1),(519,1)}
       243:{2,3,6,7}:{(194,1),(196,1),(203,1),(295,1),(296,1),(460,1)}
       244:{1,3,4,6}:{(195,1),(198,1),(294,1),(298,1),(328,1),(419,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(206,1),(295,1),(298,1),(299,1),(411,1),(475,1)}
       246:{1,3,6}:{(196,1),(197,1),(207,1),(300,1)}
       247:{1,2,5,7}:{(197,1),(201,1),(300,1),(305,1)}
       248:{1,2,3,5}:{(209,1),(297,1),(302,1),(398,1)}
       249:{2,4,5}:{(198,1),(199,1),(298,1),(304,1)}
       250:{1,3,5}:{(199,1),(200,1),(304,1),(305,1)}
       251:{1,2,4,6}:{(200,1),(201,1),(300,1),(305,1),(306,1),(405,1)}
       252:{1,2,3,7}:{(201,1),(306,1),(470,1)}
       253:{1,3,4,5,7}:{(202,1),(205,1),(210,1),(281,1),(294,1),(307,1),(317,1),(406,1),(415,1),(482,1),(516,1)}
       254:{2,5,7}:{(202,1),(203,1),(206,1),(308,1)}
       255:{1,4,6,7}:{(203,1),(207,1),(296,1),(308,1),(394,1)}
       256:{1,2,4,7}:{(204,1),(213,1),(283,1),(310,1),(384,1)}
       257:{1,3,6}:{(204,1),(209,1),(214,1),(310,1)}
       258:{2,4,5,6}:{(205,1),(206,1),(298,1),(307,1),(312,1),(313,1),(411,1),(486,1),(543,1)}
       259:{1,5,6}:{(206,1),(207,1),(308,1)}
       260:{1,2,4,6}:{(207,1),(208,1),(217,1),(300,1),(314,1),(315,1),(413,1),(464,1),(473,1)}
       261:{1,3,5,7}:{(208,1),(209,1),(218,1),(310,1),(315,1),(316,1),(404,1),(414,1),(470,1)}
       262:{1,3,4}:{(209,1),(219,1),(302,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(215,1),(285,1),(317,1),(416,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(216,1),(220,1),(308,1),(317,1),(318,1),(415,1),(463,1),(542,1)}
       265:{2,4,6,7}:{(212,1),(213,1),(217,1),(287,1),(318,1),(319,1),(416,1),(460,1),(469,1)}
       266:{2,3,7}:{(213,1),(214,1),(222,1),(310,1)}
       267:{2,3,4,6}:{(214,1),(219,1),(223,1),(289,1),(311,1),(320,1),(321,1),(418,1)}
       268:{1,4,5,6}:{(215,1),(216,1),(317,1),(322,1),(328,1),(413,1)}
       269:{2,5,6}:{(216,1),(217,1),(318,1)}
       270:{2,3,6}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,7}:{(218,1),(219,1),(226,1),(316,1),(324,1),(416,1),(479,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(224,1),(318,1),(325,1),(542,1)}
       273:{1,3,6,7}:{(221,1),(222,1),(225,1),(319,1),(325,1),(519,1)}
       274:{1,3,4,7}:{(222,1),(223,1),(228,1),(320,1),(327,1)}
       275:{1,3,5}:{(223,1),(229,1),(321,1)}
       276:{1,3,5,6}:{(224,1),(225,1),(323,1),(325,1),(328,1),(329,1)}
       277:{1,3,4,6}:{(225,1),(226,1),(230,1),(324,1),(328,1),(329,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(230,1),(326,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,4,5,7}:{(228,1),(229,1),(327,1),(330,1),(331,1),(389,1),(421,1)}
       280:{1,2,5}:{(230,1),(329,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(254,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(256,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(257,1),(335,1),(336,1),(363,1),(450,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(264,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(266,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(377,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(275,1),(341,1),(378,1),(458,1)}
       294:{1,3,4,7}:{(242,1),(244,1),(345,1),(375,1),(455,1)}
       295:{2,3,5,7}:{(242,1),(243,1),(245,1),(254,1),(345,1),(346,1),(446,1),(498,1)}
       296:{1,3,6,7}:{(243,1),(246,1),(255,1),(346,1),(347,1)}
       297:{1,2,3,6}:{(248,1),(257,1),(348,1),(349,1)}
       298:{2,4,6}:{(244,1),(245,1),(249,1),(345,1),(351,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(250,1),(259,1),(346,1),(351,1),(352,1),(440,1)}
       300:{1,2,6}:{(246,1),(247,1)}
       301:{1,2,3,5,7}:{(247,1),(248,1),(252,1),(261,1),(348,1),(353,1),(354,1),(357,1),(438,1),(442,1)}
       302:{1,2,4}:{(248,1),(262,1)}
       303:{2,3,4,5}:{(249,1),(350,1),(355,1),(444,1),(458,1),(512,1)}
       304:{1,4,5}:{(249,1),(250,1),(351,1)}
       305:{1,2,5}:{(250,1),(251,1)}
       306:{1,2,3,6}:{(251,1),(252,1),(357,1),(440,1)}
       307:{2,4,5,7}:{(253,1),(254,1),(258,1),(332,1),(345,1),(358,1),(359,1),(446,1),(508,1),(532,1)}
       308:{1,5,7}:{(254,1),(255,1),(259,1)}
       309:{1,2,4,6,7}:{(255,1),(256,1),(260,1),(265,1),(334,1),(347,1),(360,1),(361,1),(426,1),(435,1),(448,1)}
       310:{1,3,7}:{(256,1),(257,1),(266,1)}
       311:{1,3,4,6}:{(257,1),(262,1),(267,1),(336,1),(349,1),(362,1),(363,1),(450,1)}
       312:{2,3,5,6}:{(258,1),(350,1),(358,1),(364,1),(372,1)}
       313:{1,4,5,6}:{(258,1),(259,1),(351,1),(359,1),(364,1),(511,1),(549,1)}
       314:{1,2,5,6}:{(259,1),(260,1),(269,1),(360,1),(366,1),(442,1),(494,1)}
       315:{1,3,6}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(271,1),(354,1),(367,1),(445,1),(448,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(268,1),(337,1),(368,1),(375,1),(448,1)}
       318:{2,5,7}:{(264,1),(265,1),(269,1)}
       319:{2,3,6,7}:{(265,1),(266,1),(270,1),(273,1),(361,1),(369,1),(428,1),(498,1)}
       320:{2,3,4,7}:{(266,1),(267,1),(274,1),(340,1),(362,1),(371,1)}
       321:{2,3,5}:{(267,1),(275,1),(341,1),(363,1)}
       322:{2,4,5,6}:{(268,1),(269,1),(368,1),(372,1),(373,1)}
       323:{2,3,5,6}:{(269,1),(270,1),(276,1),(366,1),(369,1),(372,1),(373,1),(374,1)}
       324:{2,3,4,6}:{(270,1),(271,1),(277,1),(367,1),(373,1),(374,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(276,1),(369,1),(375,1)}
       326:{1,3,4,6,7}:{(273,1),(274,1),(277,1),(278,1),(370,1),(375,1),(376,1),(377,1),(459,1),(531,1),(535,1),(551,1)}
       327:{1,3,5,7}:{(274,1),(275,1),(279,1),(371,1),(377,1)}
       328:{1,4,6}:{(276,1),(373,1),(375,1),(378,1)}
       329:{1,3,5}:{(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(280,1),(376,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(279,1),(377,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(307,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(308,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(473,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(310,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(318,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(418,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(321,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(327,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,4,7}:{(294,1),(295,1),(298,1),(394,1)}
       346:{1,3,5,7}:{(295,1),(296,1),(299,1),(308,1),(394,1),(395,1),(470,1)}
       347:{1,2,6,7}:{(296,1),(300,1),(395,1),(460,1)}
       348:{1,2,3,7}:{(297,1),(310,1),(397,1)}
       349:{1,2,4,6}:{(297,1),(302,1),(311,1),(397,1),(398,1),(473,1)}
       350:{2,3,4,6}:{(298,1),(303,1),(312,1),(393,1),(399,1),(419,1),(475,1),(486,1)}
       351:{1,4,6}:{(298,1),(299,1),(304,1),(394,1)}
       352:{1,2,5,6}:{(299,1),(300,1),(305,1),(395,1),(400,1),(411,1)}
       353:{1,2,3,6}:{(300,1),(301,1),(315,1),(402,1),(473,1)}
       354:{1,2,4,7}:{(301,1),(302,1),(316,1),(402,1),(405,1)}
       355:{1,3,4,5}:{(303,1),(304,1),(399,1),(403,1),(404,1),(478,1),(530,1)}
       356:{1,2,4,5}:{(304,1),(305,1),(400,1),(403,1),(404,1),(405,1)}
       357:{1,2,3,5}:{(305,1),(306,1),(404,1),(405,1)}
       358:{2,3,5,7}:{(307,1),(312,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,4,5,7}:{(307,1),(308,1),(313,1),(381,1),(394,1),(406,1),(527,1),(542,1)}
       360:{1,2,5,7}:{(308,1),(309,1),(314,1),(318,1),(408,1),(463,1)}
       361:{1,3,6,7}:{(309,1),(310,1),(315,1),(319,1),(408,1),(470,1)}
       362:{1,3,4,7}:{(310,1),(311,1),(320,1),(384,1),(397,1),(410,1)}
       363:{1,3,5}:{(311,1),(321,1),(385,1),(398,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(399,1),(406,1),(411,1)}
       365:{1,2,4,5,6}:{(313,1),(314,1),(322,1),(400,1),(407,1),(411,1),(412,1),(413,1),(477,1),(486,1),(517,1),(522,1),(543,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(323,1),(408,1),(413,1),(414,1)}
       367:{1,3,4,6}:{(315,1),(316,1),(324,1),(402,1),(413,1),(414,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(322,1),(386,1),(415,1),(416,1)}
       369:{2,3,5,7}:{(318,1),(319,1),(323,1),(325,1),(408,1),(415,1),(416,1)}
       370:{2,3,4,6,7}:{(319,1),(320,1),(324,1),(326,1),(388,1),(409,1),(416,1),(417,1),(418,1),(465,1),(489,1),(515,1),(520,1),(546,1)}
       371:{2,3,5,7}:{(320,1),(321,1),(327,1),(389,1),(410,1),(418,1)}
       372:{3,5,6}:{(322,1),(415,1),(419,1)}
       373:{2,4,6}:{(323,1),(328,1),(413,1),(416,1),(419,1),(420,1)}
       374:{2,3,5}:{(324,1),(329,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(328,1),(416,1)}
       376:{1,3,5,7}:{(326,1),(329,1),(330,1),(417,1),(421,1),(422,1),(542,1)}
       377:{1,3,6}:{(327,1),(331,1),(418,1)}
       378:{1,4,5}:{(328,1),(329,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(359,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(360,1),(424,1),(425,1),(501,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(450,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(363,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(369,1),(425,1),(428,1),(429,1),(430,1),(457,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(371,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(377,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(350,1),(358,1),(434,1),(455,1),(498,1),(508,1)}
       394:{1,4,7}:{(345,1),(346,1),(351,1)}
       395:{1,2,5,7}:{(346,1),(347,1),(352,1),(435,1),(446,1)}
       396:{1,2,3,6,7}:{(347,1),(348,1),(353,1),(361,1),(436,1),(437,1),(491,1),(537,1)}
       397:{1,2,4,7}:{(348,1),(349,1),(362,1),(438,1)}
       398:{1,2,5}:{(349,1),(363,1)}
       399:{1,3,4,6}:{(350,1),(351,1),(355,1),(364,1),(434,1),(439,1),(440,1),(502,1),(511,1)}
       400:{1,2,4,6}:{(351,1),(352,1),(356,1),(435,1),(439,1),(440,1)}
       401:{1,2,3,5,6}:{(352,1),(353,1),(357,1),(366,1),(436,1),(440,1),(441,1),(442,1),(452,1),(501,1),(504,1),(537,1)}
       402:{1,2,4,6}:{(353,1),(354,1),(367,1),(442,1)}
       403:{2,4,5}:{(355,1),(439,1),(444,1)}
       404:{1,3,5}:{(356,1),(440,1),(444,1),(445,1)}
       405:{1,2,4}:{(357,1),(445,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(364,1),(423,1),(434,1),(446,1)}
       407:{1,2,4,5,7}:{(359,1),(360,1),(365,1),(368,1),(424,1),(435,1),(446,1),(447,1),(448,1),(493,1),(508,1),(532,1)}
       408:{1,3,5,7}:{(360,1),(361,1),(366,1),(369,1),(448,1)}
       409:{1,3,4,6,7}:{(361,1),(362,1),(367,1),(370,1),(426,1),(437,1),(448,1),(449,1),(450,1),(499,1),(510,1),(537,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(371,1),(427,1),(438,1),(450,1)}
       411:{2,5,6}:{(364,1),(439,1),(446,1)}
       412:{1,3,5,6}:{(365,1),(372,1),(440,1),(447,1),(452,1),(453,1),(504,1),(537,1)}
       413:{1,4,6}:{(366,1),(373,1),(448,1),(454,1)}
       414:{1,3,5}:{(367,1),(374,1),(442,1),(454,1)}
       415:{3,5,7}:{(368,1),(372,1),(428,1),(455,1)}
       416:{2,4,7}:{(369,1),(373,1),(375,1),(448,1),(455,1)}
       417:{2,3,5,7}:{(370,1),(374,1),(376,1),(430,1),(449,1),(456,1),(457,1),(495,1),(532,1)}
       418:{2,3,6}:{(371,1),(377,1),(431,1),(450,1)}
       419:{3,4,6}:{(372,1),(373,1),(455,1),(458,1)}
       420:{2,4,5}:{(373,1),(374,1),(378,1),(454,1),(458,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(378,1),(456,1),(459,1)}
       422:{1,3,5,6}:{(376,1),(377,1),(379,1),(457,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(407,1),(460,1),(461,1),(462,1),(515,1),(522,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(408,1),(461,1),(462,1),(463,1),(484,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(410,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(416,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(418,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,3,4,7}:{(393,1),(394,1),(399,1),(406,1),(469,1),(470,1),(519,1),(527,1)}
       435:{1,2,4,7}:{(394,1),(395,1),(400,1),(469,1),(470,1)}
       436:{1,2,3,5,7}:{(395,1),(396,1),(401,1),(408,1),(470,1),(471,1),(472,1),(481,1),(521,1)}
       437:{1,2,4,6,7}:{(396,1),(397,1),(402,1),(409,1),(471,1),(472,1),(473,1),(515,1),(522,1)}
       438:{1,2,5,7}:{(397,1),(398,1),(410,1),(473,1)}
       439:{2,4,6}:{(399,1),(403,1),(411,1),(469,1),(475,1)}
       440:{1,3,6}:{(400,1),(404,1),(470,1),(475,1)}
       441:{1,2,4,6}:{(401,1),(405,1),(413,1),(471,1),(476,1),(477,1),(486,1)}
       442:{1,2,5}:{(402,1),(414,1)}
       443:{1,2,4,5}:{(403,1),(474,1),(478,1),(526,1),(530,1),(547,1)}
       444:{2,3,5}:{(403,1),(404,1),(475,1),(478,1),(479,1)}
       445:{1,3,4}:{(404,1),(405,1),(479,1)}
       446:{2,5,7}:{(406,1),(411,1),(460,1),(469,1)}
       447:{1,3,5,7}:{(407,1),(412,1),(415,1),(461,1),(470,1),(481,1),(482,1)}
       448:{1,4,7}:{(408,1),(413,1),(416,1)}
       449:{1,3,5,7}:{(409,1),(414,1),(417,1),(463,1),(472,1),(483,1),(484,1)}
       450:{1,3,6}:{(410,1),(418,1),(464,1),(473,1)}
       451:{1,2,5,6}:{(411,1),(474,1),(480,1),(485,1),(547,1),(552,1)}
       452:{2,3,5,6}:{(411,1),(412,1),(475,1),(481,1),(485,1),(486,1),(525,1),(543,1),(546,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(419,1),(482,1),(486,1),(487,1)}
       454:{1,4,5}:{(413,1),(414,1),(420,1)}
       455:{3,4,7}:{(415,1),(416,1),(419,1)}
       456:{2,4,5,7}:{(416,1),(417,1),(420,1),(421,1),(483,1),(488,1),(489,1)}
       457:{2,3,5,6}:{(417,1),(418,1),(422,1),(467,1),(484,1),(489,1),(518,1),(543,1),(546,1)}
       458:{3,4,5}:{(419,1),(420,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(446,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(447,1),(491,1),(537,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(448,1),(493,1),(510,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(450,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{2,4,7}:{(434,1),(439,1),(446,1),(498,1)}
       470:{1,3,7}:{(435,1),(440,1),(498,1)}
       471:{1,2,4,7}:{(436,1),(441,1),(448,1),(499,1),(508,1)}
       472:{1,2,5,7}:{(437,1),(442,1),(449,1),(501,1),(532,1)}
       473:{1,2,6}:{(438,1),(450,1)}
       474:{1,2,4,6}:{(439,1),(443,1),(451,1),(497,1),(502,1),(511,1)}
       475:{2,3,6}:{(439,1),(440,1),(444,1),(498,1),(502,1)}
       476:{1,3,4,6}:{(440,1),(441,1),(445,1),(499,1),(503,1),(504,1),(537,1)}
       477:{1,2,4,5}:{(441,1),(442,1),(454,1),(504,1),(512,1)}
       478:{1,3,5}:{(443,1),(444,1),(502,1),(506,1)}
       479:{2,3,4}:{(444,1),(445,1),(506,1)}
       480:{1,2,5,7}:{(446,1),(451,1),(490,1),(497,1),(507,1)}
       481:{2,3,5,7}:{(446,1),(447,1),(452,1),(491,1),(498,1),(507,1),(508,1),(532,1)}
       482:{1,3,4,7}:{(447,1),(448,1),(453,1),(455,1),(508,1)}
       483:{1,4,5,7}:{(448,1),(449,1),(454,1),(456,1),(510,1)}
       484:{1,3,5,6}:{(449,1),(450,1),(457,1),(494,1),(501,1),(510,1),(537,1)}
       485:{1,3,5,6}:{(451,1),(452,1),(502,1),(507,1),(511,1),(539,1),(549,1),(551,1)}
       486:{2,4,6}:{(452,1),(453,1),(508,1),(511,1),(512,1)}
       487:{1,3,4,5}:{(453,1),(454,1),(458,1),(504,1),(512,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(458,1),(495,1),(513,1)}
       489:{2,4,6}:{(456,1),(457,1),(459,1),(510,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(481,1),(514,1),(515,1),(546,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(482,1),(515,1),(516,1),(529,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,4,7}:{(469,1),(474,1),(480,1),(519,1),(527,1)}
       498:{2,3,7}:{(469,1),(470,1),(475,1),(519,1)}
       499:{1,3,4,7}:{(470,1),(471,1),(476,1),(520,1),(521,1)}
       500:{1,2,4,5,7}:{(471,1),(472,1),(477,1),(483,1),(521,1),(522,1),(528,1)}
       501:{1,2,5,6}:{(472,1),(473,1),(484,1),(522,1),(543,1)}
       502:{1,3,6}:{(474,1),(475,1),(478,1),(519,1)}
       503:{2,3,4,6}:{(475,1),(476,1),(479,1),(486,1),(520,1),(524,1),(525,1),(546,1)}
       504:{1,3,5}:{(476,1),(477,1),(525,1)}
       505:{1,2,3,5}:{(478,1),(523,1),(526,1),(547,1)}
       506:{1,3,4}:{(478,1),(479,1),(526,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(485,1),(514,1),(519,1),(527,1),(542,1)}
       508:{2,4,7}:{(481,1),(482,1),(486,1),(527,1)}
       509:{1,3,4,5,7}:{(482,1),(483,1),(487,1),(488,1),(516,1),(521,1),(528,1),(529,1)}
       510:{1,4,6}:{(483,1),(484,1),(489,1)}
       511:{1,4,6}:{(485,1),(486,1),(527,1),(530,1)}
       512:{2,4,5}:{(486,1),(487,1),(525,1),(530,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(508,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(510,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,3,7}:{(497,1),(498,1),(502,1)}
       520:{2,3,4,7}:{(498,1),(499,1),(503,1),(508,1),(535,1),(536,1)}
       521:{1,3,5,7}:{(499,1),(500,1),(504,1),(536,1),(537,1)}
       522:{1,2,4,6}:{(500,1),(501,1),(510,1),(537,1),(541,1)}
       523:{1,2,3,6}:{(502,1),(505,1),(534,1),(538,1)}
       524:{1,3,4,6}:{(502,1),(503,1),(506,1),(511,1),(535,1),(538,1),(539,1),(551,1)}
       525:{2,3,5}:{(503,1),(504,1),(512,1),(539,1)}
       526:{1,2,4}:{(505,1),(506,1)}
       527:{1,4,7}:{(507,1),(508,1),(511,1)}
       528:{2,4,5,7}:{(508,1),(509,1),(512,1),(532,1),(536,1),(540,1),(541,1)}
       529:{1,3,4,6}:{(509,1),(510,1),(513,1),(533,1),(537,1),(541,1)}
       530:{1,4,5}:{(511,1),(512,1),(539,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(529,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(523,1),(544,1)}
       535:{1,3,4,7}:{(519,1),(520,1),(524,1),(527,1),(544,1),(545,1)}
       536:{2,3,5,7}:{(520,1),(521,1),(525,1),(528,1),(545,1),(546,1)}
       537:{1,3,6}:{(521,1),(522,1),(546,1)}
       538:{1,2,4,6}:{(523,1),(524,1),(526,1),(544,1),(547,1),(552,1)}
       539:{1,3,5}:{(524,1),(525,1),(530,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(530,1),(542,1),(545,1),(548,1)}
       541:{2,4,6}:{(528,1),(529,1),(543,1),(546,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(538,1),(550,1)}
       545:{1,3,5,7}:{(535,1),(536,1),(539,1),(540,1),(550,1),(551,1)}
       546:{2,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5}:{(538,1),(539,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,3,6}:{(545,1),(546,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1719 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(67,1),(149,1),(234,1),(254,1),(259,1),(364,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(102,1),(412,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(311,1),(411,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(146,1),(254,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(259,1),(365,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(452,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(149,1),(346,1),(363,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(104,1),(204,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(311,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(99,1),(119,1),(121,1),(185,1),(200,1),(315,1),(322,1),(412,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(202,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(261,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(254,1),(374,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(256,1),(283,1),(363,1),(387,1),(390,1),(452,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(143,1),(167,1),(169,1),(242,1),(257,1),(366,1),(373,1),(452,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(259,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(412,1),(419,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(185,1),(204,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(206,1),(227,1),(231,1),(318,1),(336,1),(339,1),(418,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(311,1),(421,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(313,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(195,1),(300,1),(405,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(74,1),(81,1),(138,1),(158,1),(163,1),(239,1),(248,1),(251,1),(271,1)}
        41:{1,3,4,5,6}:{(26,1),(65,1),(66,1),(80,1),(136,1),(245,1),(267,1),(269,1),(359,1),(374,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(69,1),(150,1),(238,1),(372,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(519,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(452,1),(459,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(242,1),(261,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(263,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(448,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(365,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(252,1),(355,1),(366,1),(471,1)}
        63:{1,2,4,6}:{(40,1),(43,1),(95,1),(96,1),(97,1),(295,1),(327,1)}
        64:{1,2,3,5,7}:{(40,1),(97,1),(98,1),(122,1),(190,1),(194,1),(213,1),(297,1),(326,1)}
        65:{2,4,5,6}:{(41,1),(46,1),(94,1),(99,1),(100,1),(119,1),(185,1),(295,1),(401,1)}
        66:{1,3,4,5,7}:{(41,1),(48,1),(100,1),(101,1),(120,1),(186,1),(303,1),(323,1),(325,1),(407,1),(421,1)}
        67:{1,2,3,5}:{(93,1),(102,1),(180,1),(198,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(106,1),(110,1),(198,1),(287,1)}
        69:{2,3,4,6}:{(42,1),(46,1),(94,1),(106,1),(108,1),(204,1),(295,1),(419,1)}
        70:{2,3,4,5,7}:{(42,1),(47,1),(107,1),(108,1),(109,1),(131,1),(205,1),(211,1),(230,1),(296,1),(320,1),(404,1),(418,1),(420,1),(476,1),(493,1)}
        71:{1,3,4}:{(43,1),(104,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(105,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(538,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(185,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(537,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(300,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(320,1),(418,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(411,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(254,1)}
        94:{2,3,5,6}:{(65,1),(69,1),(136,1),(137,1),(374,1)}
        95:{1,3,4,6}:{(63,1),(71,1),(135,1),(138,1),(139,1),(158,1),(248,1)}
        96:{1,2,4,5}:{(63,1),(138,1),(163,1),(238,1),(272,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(139,1),(350,1),(377,1)}
        98:{1,2,3,6,7}:{(64,1),(74,1),(142,1),(170,1),(248,1),(270,1),(352,1),(511,1)}
        99:{1,4,5,6}:{(65,1),(75,1),(136,1),(143,1),(166,1),(341,1),(436,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(77,1),(137,1),(143,1),(144,1),(167,1),(242,1),(350,1),(444,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(356,1),(357,1),(448,1)}
       102:{1,2,4}:{(67,1),(146,1)}
       103:{1,2,3,5,7}:{(67,1),(134,1),(148,1),(149,1),(235,1),(255,1),(259,1),(388,1),(389,1),(470,1)}
       104:{2,3,4}:{(71,1),(146,1),(150,1)}
       105:{2,4,5}:{(68,1),(150,1),(152,1)}
       106:{1,3,4,6}:{(68,1),(69,1),(75,1),(136,1),(152,1),(154,1),(158,1),(254,1),(341,1)}
       107:{1,3,4,5,7}:{(68,1),(70,1),(76,1),(153,1),(154,1),(155,1),(159,1),(255,1),(266,1),(272,1),(286,1),(342,1),(365,1),(372,1),(377,1),(452,1),(459,1),(461,1),(507,1),(520,1)}
       108:{2,3,4,7}:{(69,1),(77,1),(137,1),(154,1),(261,1),(350,1),(459,1)}
       109:{2,3,4,6}:{(70,1),(78,1),(155,1),(157,1),(178,1),(262,1),(285,1),(351,1),(371,1),(447,1),(506,1)}
       110:{1,3,5}:{(71,1),(72,1),(150,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(151,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(152,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(153,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(516,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(518,1),(519,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(242,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(355,1),(370,1),(384,1),(386,1),(448,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(372,1),(459,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(452,1)}
       133:{1,2,4,6}:{(93,1),(102,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(311,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(204,1),(295,1),(298,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(106,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(108,1),(186,1),(187,1),(421,1)}
       138:{1,3,5}:{(95,1),(96,1),(183,1)}
       139:{1,3,4,7}:{(95,1),(97,1),(184,1),(190,1),(213,1)}
       140:{1,2,4,5,6}:{(96,1),(99,1),(112,1),(185,1),(189,1),(192,1),(193,1),(217,1),(295,1),(322,1),(327,1),(401,1),(408,1)}
       141:{1,2,4,5,7}:{(96,1),(97,1),(190,1),(193,1),(194,1),(296,1),(307,1)}
       142:{1,2,4,6,7}:{(97,1),(98,1),(114,1),(191,1),(193,1),(194,1),(400,1),(480,1),(532,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(116,1),(186,1),(195,1),(220,1),(391,1),(472,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(300,1)}
       145:{1,3,5,6,7}:{(101,1),(120,1),(196,1),(197,1),(310,1),(407,1)}
       146:{1,3,4}:{(102,1),(104,1),(198,1)}
       147:{1,2,4,5}:{(102,1),(105,1),(180,1),(198,1),(200,1),(287,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(199,1),(202,1),(502,1)}
       149:{1,2,3,6}:{(103,1),(202,1),(292,1),(312,1),(434,1)}
       150:{2,3,5}:{(104,1),(105,1),(110,1),(198,1),(204,1)}
       151:{2,3,4,7}:{(104,1),(111,1),(199,1),(205,1),(206,1),(418,1),(541,1)}
       152:{2,4,6}:{(105,1),(106,1),(185,1),(204,1),(207,1)}
       153:{2,4,5,7}:{(105,1),(107,1),(205,1),(207,1),(208,1),(320,1),(321,1),(418,1),(495,1),(539,1)}
       154:{1,3,4,7}:{(106,1),(108,1),(116,1),(186,1),(207,1),(213,1),(311,1),(391,1)}
       155:{1,3,4,6}:{(107,1),(109,1),(117,1),(208,1),(210,1),(214,1),(312,1),(327,1),(340,1),(392,1),(412,1),(419,1),(530,1)}
       156:{2,3,4,6,7}:{(108,1),(109,1),(118,1),(187,1),(209,1),(211,1),(231,1),(302,1),(318,1),(339,1),(400,1),(418,1),(483,1),(484,1),(493,1),(529,1)}
       157:{2,3,5,6}:{(109,1),(119,1),(210,1),(211,1),(212,1),(223,1),(334,1),(401,1),(482,1),(528,1)}
       158:{1,3,6}:{(110,1),(112,1),(204,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(205,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(206,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(207,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(208,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(538,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(300,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(418,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(146,1),(232,1),(233,1),(254,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(149,1),(236,1),(237,1),(363,1),(441,1),(471,1),(508,1)}
       183:{2,3,5}:{(135,1),(138,1),(232,1),(238,1)}
       184:{2,3,4,7}:{(135,1),(139,1),(233,1),(240,1),(261,1),(350,1)}
       185:{2,5,6}:{(136,1),(152,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(154,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(448,1)}
       188:{1,3,4,5}:{(138,1),(238,1),(245,1),(272,1),(372,1)}
       189:{1,3,5,6}:{(138,1),(140,1),(158,1),(239,1),(245,1),(247,1),(248,1),(374,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,4,6,7}:{(139,1),(142,1),(160,1),(241,1),(248,1),(249,1),(270,1),(361,1),(377,1),(443,1),(509,1),(545,1)}
       192:{1,2,4,5,7}:{(140,1),(143,1),(161,1),(242,1),(247,1),(250,1),(273,1),(350,1),(373,1),(377,1),(444,1),(450,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(251,1),(351,1),(361,1)}
       194:{1,2,5,7}:{(142,1),(163,1),(249,1),(251,1),(444,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(167,1),(252,1),(444,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(356,1),(450,1),(451,1)}
       198:{1,3,5}:{(146,1),(147,1),(150,1),(254,1)}
       199:{1,3,4,7}:{(146,1),(148,1),(151,1),(255,1),(256,1),(452,1),(526,1)}
       200:{1,2,4,6}:{(147,1),(152,1),(234,1),(254,1),(257,1),(341,1)}
       201:{1,2,4,5,7}:{(147,1),(148,1),(153,1),(235,1),(255,1),(257,1),(258,1),(259,1),(286,1),(342,1),(365,1),(366,1),(388,1),(452,1),(467,1),(524,1)}
       202:{1,2,4,6}:{(148,1),(149,1),(256,1),(259,1)}
       203:{1,2,3,5,6}:{(149,1),(237,1),(259,1),(260,1),(347,1),(364,1),(368,1),(441,1),(456,1),(469,1),(470,1),(525,1)}
       204:{2,3,6}:{(150,1),(152,1),(158,1),(254,1),(261,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(153,1),(159,1),(255,1),(261,1),(262,1),(263,1),(522,1),(550,1)}
       206:{2,3,4,6}:{(151,1),(160,1),(256,1),(262,1),(263,1),(371,1)}
       207:{2,4,7}:{(152,1),(154,1),(242,1),(261,1)}
       208:{2,4,6}:{(153,1),(155,1),(262,1),(265,1)}
       209:{1,3,4,6,7}:{(154,1),(155,1),(156,1),(165,1),(243,1),(264,1),(266,1),(270,1),(356,1),(363,1),(377,1),(390,1),(435,1),(448,1),(452,1),(459,1),(513,1),(520,1),(545,1)}
       210:{1,3,5,6}:{(155,1),(157,1),(166,1),(265,1),(266,1),(267,1),(374,1),(385,1),(436,1),(544,1)}
       211:{2,3,5,7}:{(156,1),(157,1),(167,1),(266,1),(268,1),(279,1),(384,1),(444,1),(512,1),(543,1)}
       212:{2,4,5,6}:{(157,1),(267,1),(268,1),(269,1),(371,1)}
       213:{1,3,7}:{(158,1),(161,1),(261,1)}
       214:{1,3,6}:{(159,1),(162,1),(262,1)}
       215:{1,3,5}:{(160,1),(163,1),(263,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(264,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(265,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(355,1),(384,1),(451,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(448,1),(459,1)}
       232:{1,3,5}:{(179,1),(180,1),(183,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(184,1),(289,1),(311,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(200,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(202,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(203,1),(293,1),(294,1),(398,1),(411,1),(489,1),(501,1),(542,1)}
       238:{2,4,5}:{(183,1),(188,1),(287,1),(295,1)}
       239:{2,3,5,6}:{(183,1),(185,1),(189,1),(204,1),(288,1),(295,1),(297,1),(298,1),(401,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(289,1),(296,1),(298,1)}
       241:{2,3,4,6,7}:{(184,1),(191,1),(206,1),(290,1),(298,1),(299,1),(318,1),(399,1),(400,1),(403,1),(418,1),(478,1),(483,1),(529,1)}
       242:{2,5,7}:{(185,1),(186,1),(207,1),(300,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(300,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(211,1),(301,1),(302,1),(310,1),(410,1),(484,1)}
       245:{1,3,4,6}:{(188,1),(189,1),(295,1),(303,1),(327,1),(419,1)}
       246:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(303,1),(304,1),(307,1),(404,1),(407,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(297,1),(303,1),(305,1),(421,1)}
       248:{1,3,6}:{(190,1),(193,1),(298,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(299,1),(306,1),(307,1),(551,1)}
       250:{1,2,4,6,7}:{(192,1),(193,1),(195,1),(300,1),(305,1),(308,1),(400,1),(405,1),(409,1)}
       251:{1,2,5,6}:{(193,1),(194,1),(306,1),(401,1),(532,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(220,1),(472,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(222,1),(302,1),(309,1),(310,1),(405,1),(410,1),(481,1)}
       254:{1,3,6}:{(198,1),(200,1),(204,1),(311,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(201,1),(205,1),(311,1),(312,1),(313,1),(500,1),(542,1)}
       256:{1,3,4,6}:{(199,1),(202,1),(206,1),(312,1),(313,1),(412,1)}
       257:{1,2,4,7}:{(200,1),(207,1),(291,1),(311,1),(391,1)}
       258:{1,2,4,6}:{(201,1),(208,1),(292,1),(312,1),(315,1),(340,1),(392,1),(412,1),(434,1)}
       259:{1,2,5}:{(202,1),(313,1)}
       260:{1,2,4,6}:{(203,1),(294,1),(316,1),(317,1),(412,1),(487,1),(502,1)}
       261:{2,3,7}:{(204,1),(207,1),(213,1),(311,1)}
       262:{2,3,6}:{(205,1),(208,1),(214,1),(312,1)}
       263:{2,3,5}:{(206,1),(215,1),(313,1),(320,1)}
       264:{2,4,6,7}:{(207,1),(208,1),(209,1),(300,1),(318,1),(321,1),(418,1),(533,1),(539,1)}
       265:{2,5,6}:{(208,1),(210,1),(321,1)}
       266:{1,3,5,7}:{(209,1),(210,1),(211,1),(220,1),(321,1),(323,1),(421,1),(432,1),(472,1),(551,1)}
       267:{1,4,5,6}:{(210,1),(212,1),(322,1),(323,1),(327,1),(412,1)}
       268:{2,4,5,7}:{(211,1),(212,1),(302,1),(323,1),(325,1),(418,1)}
       269:{3,4,5,6}:{(212,1),(223,1),(325,1),(419,1),(482,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(318,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(319,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(320,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(321,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(322,1),(327,1),(329,1),(330,1),(334,1),(424,1),(426,1),(497,1),(535,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(405,1),(485,1),(533,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(238,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(239,1),(254,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(240,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(241,1),(256,1),(344,1),(345,1),(349,1),(363,1),(435,1),(438,1),(441,1),(452,1)}
       291:{1,2,5,7}:{(234,1),(242,1),(257,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(259,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(260,1),(349,1),(452,1),(514,1)}
       295:{2,4,6}:{(238,1),(239,1),(245,1),(341,1),(350,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(246,1),(342,1),(350,1),(351,1),(444,1)}
       297:{2,3,5,7}:{(239,1),(242,1),(247,1),(261,1),(343,1),(350,1),(352,1),(444,1)}
       298:{2,3,6}:{(240,1),(248,1),(344,1),(351,1)}
       299:{2,3,5,7}:{(241,1),(249,1),(263,1),(345,1),(353,1),(354,1),(444,1),(512,1),(543,1)}
       300:{2,6,7}:{(242,1),(243,1)}
       301:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(266,1),(355,1),(356,1),(448,1),(451,1),(513,1)}
       302:{2,4,6,7}:{(244,1),(268,1),(356,1),(357,1)}
       303:{1,3,4,7}:{(245,1),(247,1),(350,1),(377,1),(459,1)}
       304:{1,3,4,6}:{(246,1),(248,1),(351,1),(359,1),(361,1),(447,1)}
       305:{1,3,6,7}:{(247,1),(248,1),(250,1),(352,1),(448,1)}
       306:{1,3,5,6}:{(248,1),(249,1),(251,1),(353,1),(361,1),(509,1),(544,1)}
       307:{1,4,5,7}:{(249,1),(272,1),(354,1),(361,1),(377,1)}
       308:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(273,1),(355,1),(360,1),(444,1),(546,1)}
       309:{1,4,5,6,7}:{(252,1),(253,1),(277,1),(356,1),(362,1),(503,1)}
       310:{3,5,6,7}:{(253,1),(279,1),(357,1),(448,1),(512,1)}
       311:{1,3,7}:{(254,1),(257,1),(261,1)}
       312:{1,3,6}:{(255,1),(258,1),(262,1)}
       313:{1,3,5}:{(256,1),(259,1),(263,1),(365,1)}
       314:{1,2,4,6,7}:{(257,1),(258,1),(264,1),(346,1),(363,1),(366,1),(390,1),(435,1),(452,1),(471,1),(524,1)}
       315:{1,2,5,6}:{(258,1),(259,1),(265,1),(364,1),(366,1),(385,1),(436,1)}
       316:{1,2,4,5}:{(259,1),(260,1),(365,1),(368,1),(454,1)}
       317:{1,3,4,6}:{(260,1),(349,1),(368,1),(369,1),(441,1),(525,1),(526,1)}
       318:{2,3,6,7}:{(261,1),(262,1),(264,1),(270,1),(363,1),(370,1),(448,1),(550,1)}
       319:{2,3,5,6}:{(262,1),(263,1),(265,1),(271,1),(364,1),(370,1),(371,1),(374,1)}
       320:{2,4,5}:{(263,1),(272,1),(365,1),(371,1),(372,1)}
       321:{2,5,7}:{(264,1),(265,1),(266,1)}
       322:{2,4,5,6}:{(265,1),(267,1),(371,1),(373,1),(374,1)}
       323:{1,4,5,7}:{(266,1),(267,1),(268,1),(356,1),(373,1),(377,1),(452,1)}
       324:{1,3,4,5,6}:{(267,1),(269,1),(278,1),(374,1),(375,1),(376,1),(378,1),(453,1),(463,1),(504,1)}
       325:{3,4,5,7}:{(268,1),(269,1),(279,1),(357,1),(459,1),(512,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(370,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(371,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(372,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(373,1),(377,1),(380,1),(384,1),(464,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(374,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(448,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(295,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(296,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(297,1),(311,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(298,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(299,1),(313,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(300,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(316,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(317,1),(398,1),(399,1),(542,1)}
       350:{2,4,7}:{(295,1),(297,1),(303,1),(391,1)}
       351:{2,4,6}:{(296,1),(298,1),(304,1),(392,1),(401,1)}
       352:{2,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(393,1),(400,1)}
       353:{2,3,5,6}:{(298,1),(299,1),(306,1),(394,1),(401,1),(403,1),(478,1),(482,1),(528,1)}
       354:{2,4,5,7}:{(299,1),(307,1),(320,1),(395,1),(403,1),(404,1),(418,1)}
       355:{2,5,6,7}:{(300,1),(301,1),(321,1),(405,1),(533,1)}
       356:{1,4,6,7}:{(301,1),(302,1),(323,1),(405,1)}
       357:{3,4,6,7}:{(302,1),(310,1),(325,1)}
       358:{1,3,4,6,7}:{(303,1),(304,1),(305,1),(400,1),(407,1),(409,1),(483,1)}
       359:{1,3,5,6}:{(304,1),(401,1),(407,1),(408,1),(482,1)}
       360:{1,3,5,6,7}:{(305,1),(306,1),(308,1),(326,1),(402,1),(407,1),(409,1),(531,1),(551,1)}
       361:{1,4,6}:{(306,1),(307,1),(403,1)}
       362:{1,3,5,6,7}:{(309,1),(310,1),(333,1),(406,1),(410,1),(527,1)}
       363:{1,3,6,7}:{(311,1),(312,1),(314,1),(318,1),(411,1),(542,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(315,1),(319,1),(411,1),(412,1)}
       365:{1,4,5}:{(313,1),(320,1),(412,1)}
       366:{1,2,5,7}:{(314,1),(315,1),(321,1),(411,1),(432,1),(472,1)}
       367:{1,2,4,5,6}:{(315,1),(316,1),(322,1),(397,1),(412,1),(414,1),(415,1),(424,1),(473,1),(487,1),(497,1),(499,1),(528,1)}
       368:{1,3,5}:{(316,1),(317,1),(416,1)}
       369:{2,3,4,6}:{(317,1),(399,1),(416,1),(417,1),(478,1),(487,1),(540,1),(541,1)}
       370:{2,3,5,7}:{(318,1),(319,1),(321,1),(326,1),(411,1),(418,1),(421,1)}
       371:{2,4,6}:{(319,1),(320,1),(327,1),(412,1),(418,1),(419,1)}
       372:{3,4,5}:{(320,1),(419,1)}
       373:{2,4,5,7}:{(321,1),(322,1),(323,1),(405,1),(418,1),(421,1)}
       374:{3,5,6}:{(322,1),(419,1),(421,1)}
       375:{1,3,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(406,1),(421,1),(423,1),(425,1),(486,1),(496,1),(527,1)}
       376:{2,4,5,6}:{(324,1),(334,1),(422,1),(423,1),(424,1),(426,1),(487,1),(497,1),(528,1)}
       377:{1,4,7}:{(326,1),(327,1),(418,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(419,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(421,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(533,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(350,1)}
       392:{1,4,6}:{(342,1),(344,1),(351,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(352,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(353,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(438,1),(452,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(355,1),(366,1),(437,1),(440,1),(451,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(368,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(369,1),(442,1),(443,1),(514,1),(550,1)}
       400:{2,4,6,7}:{(350,1),(351,1),(352,1),(358,1),(435,1),(444,1)}
       401:{2,5,6}:{(351,1),(359,1),(436,1),(444,1)}
       402:{2,3,5,6,7}:{(352,1),(353,1),(355,1),(360,1),(370,1),(437,1),(444,1),(446,1),(448,1),(508,1),(512,1),(543,1)}
       403:{2,4,6}:{(353,1),(354,1),(361,1),(438,1),(447,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(447,1),(459,1),(512,1)}
       405:{2,4,6,7}:{(355,1),(356,1),(373,1),(448,1)}
       406:{1,3,4,6,7}:{(356,1),(357,1),(362,1),(375,1),(448,1),(449,1),(513,1)}
       407:{1,3,5,7}:{(358,1),(359,1),(444,1),(450,1),(512,1)}
       408:{1,4,5,6}:{(359,1),(361,1),(445,1),(450,1),(544,1)}
       409:{1,4,6,7}:{(360,1),(361,1),(377,1),(446,1),(450,1)}
       410:{2,5,6,7}:{(362,1),(384,1),(449,1),(451,1),(543,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(366,1),(370,1),(452,1)}
       412:{1,4,6}:{(364,1),(365,1),(371,1),(452,1)}
       413:{1,3,4,5}:{(365,1),(368,1),(372,1),(453,1),(454,1)}
       414:{1,2,4,5,7}:{(366,1),(367,1),(373,1),(440,1),(452,1),(455,1),(464,1),(503,1),(514,1),(523,1),(524,1),(543,1)}
       415:{1,3,5,6}:{(367,1),(368,1),(374,1),(441,1),(453,1),(455,1),(456,1),(525,1)}
       416:{2,3,5}:{(368,1),(369,1),(454,1),(457,1)}
       417:{1,3,4,6}:{(369,1),(443,1),(457,1),(458,1),(509,1),(515,1),(548,1),(549,1)}
       418:{2,4,7}:{(370,1),(371,1),(377,1),(452,1),(459,1)}
       419:{3,4,6}:{(371,1),(372,1),(374,1),(459,1)}
       420:{2,3,4,5}:{(372,1),(379,1),(454,1),(460,1),(461,1),(522,1)}
       421:{3,5,7}:{(373,1),(374,1),(448,1),(459,1)}
       422:{2,3,5,6}:{(374,1),(376,1),(460,1),(462,1),(463,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(384,1),(449,1),(462,1),(464,1),(465,1),(514,1),(523,1),(543,1)}
       424:{1,4,5,6}:{(376,1),(385,1),(463,1),(464,1),(466,1),(515,1),(544,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(459,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(400,1),(472,1)}
       436:{1,5,6}:{(392,1),(401,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(402,1),(411,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(403,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(404,1),(413,1),(475,1),(476,1),(486,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(405,1),(414,1),(474,1),(477,1),(485,1),(529,1),(533,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(416,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(417,1),(479,1),(480,1),(534,1),(552,1)}
       444:{2,5,7}:{(400,1),(401,1),(407,1),(472,1)}
       445:{2,4,5,6}:{(401,1),(403,1),(408,1),(473,1),(481,1),(482,1),(528,1)}
       446:{2,4,6,7}:{(402,1),(403,1),(409,1),(418,1),(474,1),(481,1),(483,1)}
       447:{3,4,6}:{(403,1),(404,1),(482,1)}
       448:{3,6,7}:{(405,1),(421,1)}
       449:{2,4,6,7}:{(406,1),(410,1),(423,1),(484,1),(485,1),(533,1)}
       450:{1,4,5,7}:{(407,1),(408,1),(409,1),(481,1),(551,1)}
       451:{1,5,6,7}:{(410,1),(432,1),(485,1),(551,1)}
       452:{1,4,7}:{(411,1),(412,1),(418,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(415,1),(419,1),(486,1),(487,1)}
       454:{2,4,5}:{(413,1),(416,1),(487,1),(488,1)}
       455:{1,3,5,7}:{(414,1),(415,1),(421,1),(477,1),(486,1),(489,1),(542,1)}
       456:{2,3,5,6}:{(415,1),(416,1),(478,1),(487,1),(489,1),(490,1),(497,1),(528,1),(540,1)}
       457:{1,3,5}:{(416,1),(417,1),(488,1),(491,1)}
       458:{1,2,4,6}:{(417,1),(480,1),(491,1),(492,1),(532,1),(538,1)}
       459:{3,4,7}:{(418,1),(419,1),(421,1)}
       460:{2,3,4,6}:{(419,1),(420,1),(422,1),(426,1),(487,1),(493,1),(494,1),(540,1)}
       461:{1,3,4,5}:{(420,1),(427,1),(488,1),(494,1),(495,1),(500,1),(536,1)}
       462:{2,3,5,7}:{(421,1),(422,1),(423,1),(484,1),(493,1),(496,1)}
       463:{1,3,5,6}:{(422,1),(424,1),(494,1),(496,1),(497,1)}
       464:{1,4,5,7}:{(423,1),(424,1),(432,1),(485,1),(496,1),(498,1),(534,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(533,1)}
       472:{1,5,7}:{(435,1),(436,1),(444,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(445,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(446,1),(452,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(447,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(454,1),(506,1),(507,1),(514,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(448,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(457,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(458,1),(510,1),(511,1)}
       481:{2,4,5,7}:{(444,1),(445,1),(446,1),(450,1),(503,1),(512,1),(543,1)}
       482:{3,5,6}:{(445,1),(447,1),(512,1)}
       483:{3,4,6,7}:{(446,1),(447,1),(448,1),(459,1),(512,1)}
       484:{2,3,6,7}:{(448,1),(449,1),(462,1),(513,1)}
       485:{1,4,6,7}:{(449,1),(451,1),(464,1),(513,1)}
       486:{1,3,4,7}:{(452,1),(453,1),(455,1),(459,1),(514,1)}
       487:{2,4,6}:{(453,1),(454,1),(456,1),(514,1),(515,1)}
       488:{1,4,5}:{(454,1),(457,1),(515,1)}
       489:{2,3,5,7}:{(455,1),(456,1),(508,1),(514,1),(517,1),(523,1),(543,1),(550,1)}
       490:{1,3,5,6}:{(456,1),(457,1),(509,1),(515,1),(517,1),(518,1),(544,1),(548,1)}
       491:{1,2,5}:{(457,1),(458,1)}
       492:{1,2,3,6}:{(458,1),(511,1),(519,1),(548,1)}
       493:{2,3,4,7}:{(459,1),(460,1),(462,1),(465,1),(514,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(460,1),(461,1),(463,1),(466,1),(515,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(461,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(464,1),(513,1),(520,1),(523,1)}
       497:{2,5,6}:{(463,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(481,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(482,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(483,1),(486,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(488,1),(530,1),(534,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(489,1),(529,1),(531,1),(533,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(491,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(492,1),(552,1)}
       512:{3,5,7}:{(481,1),(482,1),(483,1)}
       513:{1,3,6,7}:{(484,1),(485,1),(496,1),(533,1)}
       514:{2,4,7}:{(486,1),(487,1),(489,1),(534,1)}
       515:{1,4,6}:{(487,1),(488,1),(490,1),(534,1)}
       516:{1,2,4,5}:{(488,1),(491,1),(495,1),(535,1),(536,1),(538,1)}
       517:{1,3,5,7}:{(489,1),(490,1),(531,1),(534,1),(537,1),(551,1),(552,1)}
       518:{1,2,5,6}:{(490,1),(491,1),(497,1),(532,1),(535,1),(537,1)}
       519:{1,2,3,5}:{(491,1),(492,1),(536,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(534,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(536,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(533,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(512,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(514,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(517,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{2,6,7}:{(513,1),(523,1)}
       534:{1,4,7}:{(514,1),(515,1),(517,1)}
       535:{1,2,4,6}:{(515,1),(516,1),(518,1),(521,1),(547,1),(548,1)}
       536:{1,3,5}:{(516,1),(522,1),(548,1),(549,1)}
       537:{1,2,5,7}:{(517,1),(518,1),(523,1),(546,1),(547,1)}
       538:{1,2,4}:{(519,1),(549,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(534,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(533,1),(537,1)}
       547:{1,2,4,7}:{(534,1),(535,1),(537,1),(539,1),(552,1)}
       548:{1,3,6}:{(535,1),(536,1),(540,1),(552,1)}
       549:{1,3,4}:{(536,1),(538,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1720 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(64,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(77,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(79,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(81,1),(89,1),(106,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(79,1),(104,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(106,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(61,1)}
        47:{2,5,6}:{(33,1),(34,1),(61,1),(64,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(62,1),(64,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(63,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(62,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(64,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,5,6}:{(46,1),(47,1),(77,1)}
        62:{1,4,6,7}:{(46,1),(48,1),(56,1),(77,1),(88,1)}
        63:{2,4,5,6}:{(47,1),(49,1),(58,1),(76,1),(79,1),(80,1),(104,1)}
        64:{2,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        65:{1,3,5,6,7}:{(50,1),(78,1),(81,1),(106,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(80,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(104,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(77,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(79,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{1,4,5,6}:{(61,1),(63,1),(72,1),(91,1),(92,1)}
        77:{1,5,7}:{(61,1),(62,1),(64,1)}
        78:{2,5,6,7}:{(64,1),(65,1),(90,1),(93,1)}
        79:{3,5,6}:{(63,1),(74,1),(94,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(75,1),(92,1),(93,1),(94,1),(115,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(91,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(77,1),(78,1),(103,1)}
        91:{1,3,5,6}:{(76,1),(79,1),(87,1),(104,1),(105,1)}
        92:{1,4,5,7}:{(76,1),(77,1),(80,1),(88,1),(103,1),(105,1)}
        93:{2,4,6,7}:{(78,1),(80,1),(81,1),(103,1),(106,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(106,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(104,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(105,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(92,1),(93,1),(113,1)}
       104:{2,5,6}:{(91,1),(101,1),(114,1),(115,1)}
       105:{1,3,5,7}:{(91,1),(92,1),(94,1),(102,1),(113,1),(115,1)}
       106:{3,6,7}:{(93,1),(94,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(105,1),(106,1),(120,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,5,7}:{(104,1),(105,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1721 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1722 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(81,1),(84,1),(147,1),(212,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(23,1),(60,1),(101,1),(113,1),(186,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(108,1),(248,1),(314,1),(324,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(58,1),(63,1),(101,1),(239,1),(240,1),(308,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(38,1),(40,1),(82,1),(135,1),(212,1),(213,1),(285,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(35,1),(38,1),(78,1),(147,1),(211,1),(224,1),(280,1),(288,1),(290,1)}
         6:{1,2,5,7}:{(1,1),(10,1),(12,1),(133,1),(224,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(14,1),(140,1),(285,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(87,1),(133,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(58,1),(94,1),(101,1),(193,1),(194,1),(266,1)}
        10:{1,3,5,7}:{(4,1),(6,1),(8,1),(17,1),(18,1),(19,1),(171,1),(251,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(20,1),(21,1),(106,1),(249,1),(323,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(23,1),(100,1),(113,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1),(51,1)}
        14:{1,3,4,7}:{(7,1),(21,1),(24,1),(25,1),(324,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(58,1),(62,1),(100,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(308,1),(309,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(125,1),(133,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(12,1),(15,1),(29,1),(32,1),(38,1),(82,1),(134,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(285,1),(286,1)}
        20:{1,2,4,5}:{(11,1),(35,1),(76,1),(224,1),(286,1)}
        21:{1,3,4,6}:{(11,1),(14,1),(35,1),(36,1),(38,1),(290,1),(291,1)}
        22:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(133,1),(146,1),(205,1),(210,1),(226,1),(270,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(32,1),(38,1),(73,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(35,1),(38,1),(39,1)}
        25:{2,3,4,7}:{(14,1),(36,1),(39,1),(40,1),(140,1),(292,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(42,1),(81,1),(87,1),(133,1),(270,1),(273,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(87,1),(336,1),(337,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(58,1),(93,1),(100,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(266,1),(267,1)}
        31:{1,3,5,6,7}:{(18,1),(22,1),(26,1),(45,1),(49,1),(57,1),(99,1),(112,1),(171,1),(248,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(24,1),(28,1),(47,1),(50,1),(51,1),(52,1),(99,1),(105,1)}
        34:{1,2,4,5,6}:{(20,1),(23,1),(48,1),(53,1),(54,1),(100,1),(106,1),(170,1),(172,1),(190,1),(236,1),(245,1),(249,1),(252,1)}
        35:{1,3,5}:{(20,1),(21,1),(55,1)}
        36:{2,3,4,6}:{(21,1),(25,1),(55,1),(56,1),(58,1),(106,1),(255,1),(256,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(49,1),(53,1),(57,1),(101,1),(242,1),(262,1),(304,1),(311,1)}
        38:{1,3,6}:{(23,1),(24,1),(58,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(51,1),(55,1),(58,1),(59,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(179,1),(257,1)}
        41:{2,4,5,6}:{(27,1),(48,1),(61,1),(62,1),(100,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(49,1),(61,1),(63,1),(308,1)}
        43:{3,4,6}:{(27,1),(28,1),(62,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(104,1),(118,1),(165,1),(176,1),(308,1),(309,1),(361,1),(369,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(67,1),(81,1),(125,1),(133,1),(226,1),(229,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(125,1),(300,1),(301,1)}
        48:{1,4,5,6}:{(32,1),(41,1),(66,1),(70,1),(71,1),(134,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(42,1),(67,1),(70,1),(285,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(38,1),(43,1),(68,1),(71,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(39,1),(73,1),(74,1),(76,1),(133,1),(140,1)}
        52:{1,3,4,5}:{(35,1),(75,1),(76,1),(286,1),(301,1),(337,1)}
        53:{1,2,4,5,7}:{(34,1),(37,1),(70,1),(77,1),(133,1),(140,1),(208,1),(210,1),(227,1),(271,1),(281,1),(285,1),(289,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(38,1),(75,1),(77,1),(78,1),(228,1),(272,1),(290,1)}
        55:{2,3,5}:{(35,1),(36,1),(76,1),(79,1)}
        56:{1,3,4,6}:{(36,1),(40,1),(79,1),(80,1),(82,1),(141,1),(219,1),(220,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(77,1),(81,1),(298,1),(334,1)}
        58:{2,3,6}:{(38,1),(39,1),(73,1),(82,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(74,1),(79,1),(82,1),(83,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(87,1),(133,1)}
        62:{3,5,6}:{(41,1),(43,1),(87,1)}
        63:{3,4,6,7}:{(42,1),(43,1),(87,1),(334,1),(336,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(88,1),(90,1),(202,1),(274,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(139,1),(153,1),(215,1),(285,1),(286,1),(300,1),(301,1),(382,1)}
        66:{2,4,5,6}:{(46,1),(48,1),(92,1),(93,1),(100,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(49,1),(92,1),(94,1),(266,1)}
        68:{3,4,6}:{(46,1),(47,1),(93,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(104,1),(122,1),(161,1),(176,1),(266,1),(267,1),(332,1),(369,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(99,1),(171,1)}
        71:{1,3,5,6}:{(48,1),(50,1),(62,1),(93,1),(99,1),(100,1)}
        72:{1,3,4,6,7}:{(49,1),(50,1),(57,1),(63,1),(94,1),(99,1),(101,1),(105,1)}
        73:{2,4,6}:{(50,1),(51,1),(58,1),(100,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(59,1),(102,1),(107,1),(171,1),(179,1)}
        75:{1,3,4,6}:{(52,1),(54,1),(105,1),(106,1),(249,1),(265,1),(307,1)}
        76:{2,4,5}:{(52,1),(55,1),(106,1),(107,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(57,1),(105,1),(108,1),(264,1),(306,1),(324,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(100,1),(106,1),(108,1),(109,1),(245,1),(255,1)}
        79:{1,3,5}:{(55,1),(56,1),(107,1),(110,1)}
        80:{1,2,4,6}:{(56,1),(60,1),(110,1),(111,1),(113,1),(184,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(101,1),(108,1),(112,1),(311,1)}
        82:{1,3,6}:{(58,1),(59,1),(102,1),(113,1)}
        83:{1,2,5,7}:{(59,1),(60,1),(110,1),(113,1)}
        84:{1,2,3,7}:{(60,1),(111,1),(257,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,4,5,6}:{(62,1),(116,1),(117,1),(307,1),(386,1)}
        87:{3,5,7}:{(61,1),(62,1),(63,1)}
        88:{2,3,5,6}:{(62,1),(64,1),(100,1),(117,1),(118,1),(119,1),(386,1),(388,1)}
        89:{2,3,4,6,7}:{(63,1),(64,1),(101,1),(118,1),(120,1),(176,1),(187,1),(239,1),(241,1),(308,1),(359,1),(364,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(119,1),(121,1),(174,1),(249,1),(265,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(178,1),(191,1),(254,1),(266,1),(267,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(125,1),(133,1)}
        93:{3,5,6}:{(66,1),(68,1),(125,1)}
        94:{3,4,6,7}:{(67,1),(68,1),(125,1),(298,1),(300,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(126,1),(128,1),(156,1),(230,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(139,1),(199,1),(215,1),(285,1),(286,1),(336,1),(337,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,4,5,6}:{(71,1),(75,1),(86,1),(124,1),(131,1),(132,1),(152,1),(198,1),(207,1),(228,1),(272,1),(284,1),(381,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(72,1),(87,1),(125,1),(133,1)}
       100:{2,5,6}:{(71,1),(73,1),(133,1),(134,1)}
       101:{2,4,6,7}:{(72,1),(73,1),(81,1),(133,1),(135,1),(140,1)}
       102:{1,4,6}:{(73,1),(74,1),(82,1),(134,1)}
       103:{1,2,4,5,7}:{(74,1),(83,1),(91,1),(129,1),(136,1),(137,1),(142,1),(148,1),(210,1),(214,1),(218,1),(224,1),(285,1),(286,1),(289,1),(382,1),(384,1)}
       104:{2,3,4,5}:{(76,1),(138,1),(139,1),(217,1),(301,1),(337,1),(347,1)}
       105:{1,3,4,7}:{(75,1),(77,1),(140,1),(285,1),(300,1),(336,1)}
       106:{2,4,6}:{(75,1),(76,1),(78,1),(140,1),(141,1)}
       107:{1,4,5}:{(76,1),(79,1),(141,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(81,1),(133,1),(140,1),(143,1),(281,1),(292,1)}
       109:{1,3,5,6}:{(78,1),(79,1),(82,1),(134,1),(141,1),(143,1),(144,1),(219,1)}
       110:{1,2,5}:{(79,1),(80,1)}
       111:{1,2,3,6}:{(80,1),(84,1),(145,1),(219,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(135,1),(143,1),(146,1)}
       113:{1,2,6}:{(82,1),(83,1)}
       114:{1,2,3,5,7}:{(83,1),(84,1),(137,1),(145,1),(147,1),(148,1),(224,1),(288,1),(350,1),(384,1)}
       115:{3,5,6,7}:{(85,1),(87,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(87,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,4,5,6}:{(86,1),(88,1),(151,1),(152,1),(274,1)}
       118:{2,3,5,7}:{(87,1),(88,1),(89,1),(133,1),(151,1),(153,1),(376,1),(380,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(134,1),(152,1),(153,1),(154,1),(228,1),(391,1)}
       120:{1,3,4,6,7}:{(89,1),(90,1),(135,1),(153,1),(155,1),(212,1),(215,1),(225,1),(277,1),(285,1),(298,1),(300,1),(379,1)}
       121:{2,4,6}:{(90,1),(91,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(217,1),(232,1),(292,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,4,5,6}:{(93,1),(159,1),(160,1),(265,1),(375,1)}
       125:{3,5,7}:{(92,1),(93,1),(94,1)}
       126:{2,3,5,6}:{(93,1),(95,1),(100,1),(160,1),(161,1),(162,1),(375,1),(388,1)}
       127:{2,3,4,6,7}:{(94,1),(95,1),(101,1),(161,1),(163,1),(176,1),(193,1),(233,1),(241,1),(266,1),(330,1),(364,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(162,1),(164,1),(174,1),(249,1),(307,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(178,1),(237,1),(254,1),(308,1),(309,1)}
       130:{1,3,5,6,7}:{(97,1),(99,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(99,1),(105,1),(116,1),(159,1),(166,1),(169,1),(189,1),(235,1),(244,1),(264,1),(306,1),(318,1),(365,1)}
       132:{2,4,5,6}:{(98,1),(100,1),(106,1),(168,1),(169,1),(170,1),(245,1),(317,1),(388,1)}
       133:{2,5,7}:{(99,1),(100,1),(101,1),(171,1)}
       134:{1,5,6}:{(100,1),(102,1),(171,1)}
       135:{1,4,6,7}:{(101,1),(102,1),(112,1),(171,1),(179,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(113,1),(121,1),(164,1),(172,1),(174,1),(249,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(181,1),(251,1),(253,1),(257,1),(324,1)}
       138:{2,3,4,6}:{(104,1),(106,1),(168,1),(176,1),(177,1),(255,1),(265,1),(307,1),(317,1)}
       139:{1,3,4,5}:{(104,1),(107,1),(177,1),(178,1),(181,1),(253,1),(368,1)}
       140:{2,4,7}:{(105,1),(106,1),(108,1),(179,1)}
       141:{1,4,6}:{(106,1),(107,1),(109,1),(179,1)}
       142:{1,2,4,5}:{(107,1),(110,1),(178,1),(180,1),(181,1),(184,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(112,1),(171,1),(179,1),(182,1),(257,1)}
       144:{1,2,5,6}:{(109,1),(110,1),(113,1),(180,1),(182,1),(245,1)}
       145:{1,2,3,5}:{(110,1),(111,1),(181,1),(184,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(182,1),(311,1)}
       147:{1,2,3,6}:{(113,1),(114,1),(174,1),(186,1),(390,1)}
       148:{1,2,4,7}:{(114,1),(175,1),(184,1),(186,1),(323,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(118,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(118,1),(187,1),(189,1),(308,1)}
       152:{1,4,5,6}:{(117,1),(119,1),(189,1),(190,1),(249,1)}
       153:{1,3,5,7}:{(118,1),(119,1),(120,1),(171,1),(189,1),(191,1),(264,1),(387,1)}
       154:{2,5,6}:{(119,1),(121,1),(191,1)}
       155:{2,4,6,7}:{(120,1),(121,1),(191,1),(193,1),(254,1),(266,1),(311,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(256,1),(266,1)}
       158:{3,5,6,7}:{(123,1),(125,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(125,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,4,5,6}:{(124,1),(126,1),(197,1),(198,1),(230,1)}
       161:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(197,1),(199,1),(356,1),(380,1)}
       162:{1,3,5,6}:{(126,1),(128,1),(134,1),(198,1),(199,1),(200,1),(272,1),(391,1)}
       163:{1,3,4,6,7}:{(127,1),(128,1),(135,1),(199,1),(201,1),(212,1),(215,1),(269,1),(277,1),(285,1),(334,1),(336,1),(379,1)}
       164:{2,4,6}:{(128,1),(129,1),(200,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(217,1),(276,1),(292,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(204,1),(205,1),(380,1)}
       168:{2,3,5,6}:{(132,1),(138,1),(206,1),(207,1),(228,1),(272,1)}
       169:{2,4,5,7}:{(131,1),(132,1),(133,1),(140,1),(204,1),(206,1),(208,1),(281,1),(346,1),(380,1)}
       170:{1,4,5,6}:{(132,1),(134,1),(141,1),(207,1),(208,1),(345,1),(391,1)}
       171:{1,5,7}:{(133,1),(134,1),(135,1)}
       172:{1,2,5,6}:{(134,1),(136,1),(154,1),(200,1),(210,1),(211,1),(224,1),(391,1)}
       173:{1,2,4,6,7}:{(135,1),(136,1),(146,1),(155,1),(201,1),(210,1),(212,1),(218,1),(285,1),(289,1),(340,1),(379,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(148,1),(157,1),(203,1),(213,1),(220,1),(285,1),(291,1)}
       176:{2,3,4,7}:{(138,1),(140,1),(206,1),(215,1),(292,1),(300,1),(336,1),(346,1)}
       177:{1,3,4,6}:{(138,1),(139,1),(141,1),(207,1),(215,1),(216,1),(219,1),(290,1),(345,1)}
       178:{2,4,5}:{(139,1),(216,1),(217,1)}
       179:{1,4,7}:{(140,1),(141,1),(143,1)}
       180:{1,2,4,6}:{(141,1),(142,1),(144,1),(216,1),(218,1),(219,1)}
       181:{1,3,5}:{(142,1),(217,1),(219,1),(220,1)}
       182:{1,2,5,7}:{(143,1),(144,1),(146,1),(218,1),(281,1)}
       183:{1,2,3,5,6}:{(144,1),(145,1),(147,1),(211,1),(219,1),(221,1),(222,1),(224,1),(282,1),(295,1),(297,1),(355,1)}
       184:{1,2,4}:{(145,1),(220,1)}
       185:{1,2,3,6,7}:{(146,1),(147,1),(212,1),(221,1),(223,1),(341,1),(350,1),(355,1)}
       186:{1,2,4,6}:{(147,1),(148,1),(213,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(153,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(225,1),(227,1),(285,1)}
       190:{2,4,5,6}:{(152,1),(154,1),(227,1),(228,1),(230,1)}
       191:{2,5,7}:{(153,1),(154,1),(155,1)}
       192:{2,3,5,6}:{(154,1),(156,1),(211,1),(228,1),(229,1),(230,1),(232,1)}
       193:{2,3,6,7}:{(155,1),(156,1),(212,1),(229,1),(292,1),(298,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(230,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(161,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(161,1),(233,1),(235,1),(266,1)}
       198:{1,4,5,6}:{(160,1),(162,1),(235,1),(236,1),(249,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(235,1),(237,1),(306,1),(387,1)}
       200:{2,5,6}:{(162,1),(164,1),(237,1)}
       201:{2,4,6,7}:{(163,1),(164,1),(237,1),(239,1),(254,1),(308,1),(311,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(256,1),(308,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(169,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(171,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(169,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,3,5,6}:{(168,1),(170,1),(177,1),(244,1),(245,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(242,1),(244,1),(367,1),(387,1)}
       209:{1,2,4,5,6}:{(170,1),(172,1),(180,1),(190,1),(236,1),(245,1),(246,1),(247,1),(249,1),(260,1),(317,1),(329,1),(366,1),(388,1)}
       210:{1,2,5,7}:{(171,1),(172,1),(173,1),(191,1),(237,1),(248,1),(387,1)}
       211:{1,3,5,6}:{(172,1),(174,1),(192,1),(238,1),(248,1),(249,1),(251,1)}
       212:{1,3,6,7}:{(173,1),(174,1),(193,1),(239,1),(248,1),(257,1),(324,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(186,1),(194,1),(240,1),(249,1),(251,1)}
       214:{1,2,4,5}:{(178,1),(252,1),(253,1),(323,1),(368,1),(372,1)}
       215:{1,3,4,7}:{(176,1),(177,1),(179,1),(244,1),(254,1),(257,1),(324,1),(367,1)}
       216:{2,4,6}:{(177,1),(178,1),(245,1),(254,1),(255,1)}
       217:{2,3,5}:{(178,1),(181,1),(253,1),(255,1),(256,1)}
       218:{1,2,4,7}:{(179,1),(180,1),(182,1),(254,1),(257,1)}
       219:{1,3,6}:{(180,1),(181,1),(255,1),(257,1)}
       220:{1,3,4}:{(181,1),(184,1),(256,1)}
       221:{1,2,3,5,7}:{(182,1),(183,1),(185,1),(248,1),(257,1),(259,1),(261,1),(316,1),(328,1)}
       222:{1,2,4,6}:{(183,1),(184,1),(249,1),(258,1),(259,1),(260,1),(317,1)}
       223:{1,2,4,6,7}:{(185,1),(186,1),(250,1),(259,1),(261,1),(329,1),(364,1),(371,1),(390,1)}
       224:{1,2,5}:{(186,1),(251,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(191,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(191,1),(262,1),(264,1),(266,1)}
       228:{3,5,6}:{(190,1),(264,1),(265,1)}
       229:{2,3,5,7}:{(191,1),(192,1),(193,1),(248,1),(264,1),(266,1)}
       230:{2,4,6}:{(192,1),(249,1),(265,1),(266,1),(267,1)}
       231:{2,3,4,6,7}:{(193,1),(194,1),(250,1),(266,1),(268,1),(326,1),(330,1),(333,1),(364,1),(374,1)}
       232:{2,3,5}:{(194,1),(251,1),(267,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(199,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(269,1),(271,1),(285,1)}
       236:{2,4,5,6}:{(198,1),(200,1),(271,1),(272,1),(274,1)}
       237:{2,5,7}:{(199,1),(200,1),(201,1)}
       238:{2,3,5,6}:{(200,1),(202,1),(211,1),(272,1),(273,1),(274,1),(276,1)}
       239:{2,3,6,7}:{(201,1),(202,1),(212,1),(273,1),(292,1),(334,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(274,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(208,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(210,1),(226,1),(270,1),(278,1),(279,1),(297,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(208,1),(215,1),(277,1),(281,1)}
       245:{2,5,6}:{(207,1),(216,1),(281,1)}
       246:{1,2,4,5,7}:{(208,1),(209,1),(210,1),(218,1),(227,1),(271,1),(278,1),(281,1),(283,1),(285,1),(343,1),(346,1),(380,1)}
       247:{1,3,5,6}:{(209,1),(219,1),(228,1),(272,1),(282,1),(283,1),(284,1),(295,1),(355,1)}
       248:{1,3,5,7}:{(210,1),(211,1),(212,1),(229,1),(273,1),(285,1)}
       249:{1,4,6}:{(211,1),(230,1),(274,1),(285,1),(286,1)}
       250:{1,3,4,6,7}:{(212,1),(213,1),(223,1),(231,1),(275,1),(285,1),(287,1),(294,1),(349,1),(352,1),(355,1),(379,1),(385,1)}
       251:{1,3,5}:{(213,1),(224,1),(232,1),(276,1),(286,1)}
       252:{1,2,4,6}:{(214,1),(216,1),(280,1),(289,1),(290,1),(345,1)}
       253:{1,3,5}:{(214,1),(217,1),(290,1),(291,1)}
       254:{2,4,7}:{(215,1),(216,1),(281,1),(292,1)}
       255:{2,3,6}:{(216,1),(217,1),(219,1),(290,1),(292,1)}
       256:{2,3,4}:{(217,1),(220,1),(291,1)}
       257:{1,3,7}:{(218,1),(219,1),(292,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(222,1),(293,1),(294,1),(295,1),(355,1)}
       259:{1,2,4,7}:{(221,1),(222,1),(285,1),(294,1),(346,1)}
       260:{1,2,4,5}:{(222,1),(224,1),(286,1),(295,1),(347,1)}
       261:{1,2,5,7}:{(223,1),(224,1),(287,1),(297,1),(380,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(229,1),(279,1),(298,1),(299,1),(303,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(228,1),(298,1),(300,1)}
       265:{3,4,6}:{(228,1),(230,1),(300,1),(301,1)}
       266:{2,4,7}:{(229,1),(230,1),(285,1),(300,1)}
       267:{2,4,5}:{(230,1),(232,1),(286,1),(301,1)}
       268:{2,3,5,7}:{(231,1),(232,1),(287,1),(302,1),(303,1),(356,1),(380,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(237,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(237,1),(304,1),(306,1),(308,1)}
       272:{3,5,6}:{(236,1),(306,1),(307,1)}
       273:{2,3,5,7}:{(237,1),(238,1),(239,1),(248,1),(306,1),(308,1)}
       274:{2,4,6}:{(238,1),(249,1),(307,1),(308,1),(309,1)}
       275:{2,3,4,6,7}:{(239,1),(240,1),(250,1),(308,1),(310,1),(326,1),(359,1),(362,1),(364,1),(374,1)}
       276:{2,3,5}:{(240,1),(251,1),(309,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(246,1),(262,1),(304,1),(311,1),(312,1),(313,1),(329,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(248,1),(263,1),(305,1),(312,1),(313,1),(321,1),(363,1),(365,1),(387,1)}
       280:{1,2,5,6}:{(245,1),(252,1),(314,1),(315,1),(372,1),(390,1)}
       281:{2,5,7}:{(244,1),(245,1),(254,1),(311,1)}
       282:{2,3,5,6}:{(245,1),(247,1),(255,1),(315,1),(316,1),(317,1),(327,1),(374,1),(388,1)}
       283:{1,3,5,7}:{(246,1),(247,1),(257,1),(264,1),(306,1),(312,1),(316,1),(318,1)}
       284:{1,3,4,6}:{(247,1),(249,1),(265,1),(307,1),(317,1),(318,1),(319,1)}
       285:{1,4,7}:{(248,1),(249,1),(266,1),(308,1)}
       286:{1,4,5}:{(249,1),(251,1),(267,1),(309,1)}
       287:{1,3,5,7}:{(250,1),(251,1),(261,1),(268,1),(310,1),(320,1),(321,1),(387,1)}
       288:{1,2,3,5}:{(253,1),(322,1),(323,1),(372,1)}
       289:{1,2,4,7}:{(252,1),(254,1),(314,1),(324,1),(367,1)}
       290:{1,3,6}:{(252,1),(253,1),(255,1),(324,1)}
       291:{1,3,4}:{(253,1),(256,1),(323,1)}
       292:{2,3,7}:{(254,1),(255,1),(257,1),(324,1)}
       293:{2,3,4,6}:{(255,1),(256,1),(258,1),(317,1),(325,1),(326,1),(327,1),(374,1)}
       294:{1,3,4,7}:{(257,1),(258,1),(259,1),(326,1),(328,1)}
       295:{1,3,5}:{(258,1),(260,1),(327,1)}
       296:{1,2,4,5,7}:{(259,1),(260,1),(261,1),(320,1),(328,1),(329,1),(369,1)}
       297:{1,2,5,6}:{(261,1),(321,1),(329,1),(388,1),(390,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(266,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(266,1)}
       301:{3,4,5}:{(265,1),(267,1)}
       302:{2,4,5,7}:{(266,1),(267,1),(268,1),(320,1),(332,1),(333,1)}
       303:{2,3,5,6}:{(268,1),(321,1),(333,1),(374,1),(375,1),(388,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(273,1),(279,1),(334,1),(335,1),(339,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(272,1),(334,1),(336,1)}
       307:{3,4,6}:{(272,1),(274,1),(336,1),(337,1)}
       308:{2,4,7}:{(273,1),(274,1),(285,1),(336,1)}
       309:{2,4,5}:{(274,1),(276,1),(286,1),(337,1)}
       310:{2,3,5,7}:{(275,1),(276,1),(287,1),(338,1),(339,1),(376,1),(380,1)}
       311:{2,6,7}:{(277,1),(281,1)}
       312:{1,3,6,7}:{(278,1),(283,1),(298,1),(334,1),(341,1),(355,1)}
       313:{1,4,6,7}:{(279,1),(285,1),(299,1),(335,1),(343,1),(349,1)}
       314:{1,2,5,7}:{(280,1),(281,1),(289,1),(340,1),(344,1)}
       315:{1,3,5,6}:{(280,1),(282,1),(290,1),(344,1),(345,1),(353,1),(385,1),(391,1)}
       316:{2,3,5,7}:{(281,1),(282,1),(283,1),(292,1),(341,1),(344,1),(346,1),(380,1)}
       317:{2,4,6}:{(282,1),(284,1),(345,1),(346,1),(347,1)}
       318:{1,3,4,7}:{(283,1),(284,1),(285,1),(300,1),(336,1),(346,1)}
       319:{1,3,4,5}:{(284,1),(286,1),(295,1),(301,1),(337,1),(347,1)}
       320:{1,4,5,7}:{(285,1),(286,1),(287,1),(302,1),(338,1),(349,1)}
       321:{1,3,5,6}:{(287,1),(297,1),(303,1),(339,1),(349,1),(355,1),(385,1),(391,1)}
       322:{1,2,3,6}:{(288,1),(290,1),(350,1),(351,1)}
       323:{1,2,4}:{(288,1),(291,1)}
       324:{1,3,7}:{(289,1),(290,1),(292,1)}
       325:{1,3,4,6}:{(290,1),(291,1),(293,1),(345,1),(351,1),(352,1),(353,1),(385,1)}
       326:{2,3,4,7}:{(292,1),(293,1),(294,1),(346,1),(352,1),(354,1)}
       327:{2,3,5}:{(293,1),(295,1),(347,1),(353,1)}
       328:{1,3,5,7}:{(294,1),(295,1),(296,1),(354,1),(355,1)}
       329:{1,2,4,6}:{(296,1),(297,1),(349,1),(355,1),(383,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(302,1),(356,1),(358,1)}
       333:{2,4,6}:{(302,1),(303,1),(349,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(308,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(308,1)}
       337:{3,4,5}:{(307,1),(309,1)}
       338:{2,4,5,7}:{(308,1),(309,1),(310,1),(320,1),(361,1),(362,1)}
       339:{2,3,5,6}:{(310,1),(321,1),(362,1),(374,1),(386,1),(388,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(316,1),(363,1),(364,1),(374,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(330,1),(359,1),(364,1),(365,1),(370,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(316,1),(324,1),(363,1),(367,1),(387,1)}
       345:{1,4,6}:{(315,1),(317,1),(367,1),(368,1)}
       346:{2,4,7}:{(316,1),(317,1),(318,1),(367,1)}
       347:{2,4,5}:{(317,1),(319,1),(327,1),(368,1)}
       348:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(328,1),(332,1),(361,1),(365,1),(369,1),(370,1)}
       349:{1,4,6}:{(320,1),(321,1),(333,1),(362,1)}
       350:{1,2,3,7}:{(322,1),(324,1),(371,1)}
       351:{1,2,4,6}:{(322,1),(323,1),(325,1),(371,1),(372,1),(390,1)}
       352:{1,3,4,7}:{(324,1),(325,1),(326,1),(367,1),(371,1),(373,1)}
       353:{1,3,5}:{(325,1),(327,1),(368,1),(372,1)}
       354:{2,3,5,7}:{(326,1),(327,1),(328,1),(369,1),(373,1),(374,1)}
       355:{1,3,6}:{(328,1),(329,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(338,1),(376,1),(378,1)}
       362:{2,4,6}:{(338,1),(339,1),(349,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(346,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(349,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(346,1)}
       368:{1,4,5}:{(345,1),(347,1),(353,1)}
       369:{2,4,5,7}:{(346,1),(347,1),(348,1),(354,1),(380,1),(382,1),(383,1)}
       370:{1,3,4,6}:{(348,1),(349,1),(355,1),(358,1),(378,1),(381,1),(383,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(352,1),(384,1)}
       372:{1,2,5}:{(351,1),(353,1)}
       373:{1,3,5,7}:{(352,1),(353,1),(354,1),(382,1),(384,1),(385,1)}
       374:{2,3,6}:{(354,1),(355,1),(383,1),(385,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(370,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(369,1),(373,1),(387,1),(389,1)}
       383:{2,4,6}:{(369,1),(370,1),(374,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(373,1),(390,1)}
       385:{1,3,6}:{(373,1),(374,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1723 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1724 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1725 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1726 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1727 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1728 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(115,1),(198,1),(199,1),(207,1),(309,1),(314,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(156,1),(361,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(249,1),(251,1),(358,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(314,1),(407,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(199,1),(201,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(405,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(207,1),(303,1),(306,1),(440,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(88,1),(98,1),(99,1),(152,1),(158,1),(255,1),(274,1),(361,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(161,1),(165,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(251,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(259,1),(397,1),(398,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(407,1),(425,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(199,1),(329,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(126,1),(132,1),(133,1),(200,1),(209,1),(307,1),(325,1),(405,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(129,1),(134,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(213,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(306,1),(308,1),(346,1),(349,1),(350,1),(405,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(132,1),(314,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(361,1),(379,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(158,1),(161,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(251,1),(376,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(172,1),(263,1),(371,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(397,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(176,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(190,1),(268,1),(272,1),(294,1),(297,1),(299,1),(375,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(360,1),(390,1)}
        37:{2,3,4,5}:{(24,1),(57,1),(58,1),(121,1),(316,1),(425,1)}
        38:{1,3,4,5,6}:{(23,1),(60,1),(61,1),(68,1),(116,1),(220,1),(221,1),(222,1),(329,1),(428,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(405,1),(422,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(132,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(148,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(129,1),(137,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(132,1),(209,1),(213,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(418,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(132,1),(225,1),(307,1),(319,1),(437,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(343,1),(349,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(129,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(131,1),(147,1),(229,1),(233,1),(243,1),(245,1),(337,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(132,1),(232,1),(327,1),(339,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(405,1),(407,1)}
        57:{2,3,4,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(161,1),(261,1),(379,1)}
        58:{1,3,4,5}:{(37,1),(41,1),(83,1),(85,1),(95,1),(153,1),(352,1)}
        59:{2,3,4,5,7}:{(37,1),(42,1),(84,1),(86,1),(87,1),(113,1),(164,1),(166,1),(197,1),(368,1),(375,1),(378,1),(463,1),(464,1),(466,1),(509,1)}
        60:{2,4,5,6}:{(38,1),(39,1),(82,1),(88,1),(89,1),(98,1),(158,1),(261,1),(457,1)}
        61:{1,3,4,5,7}:{(38,1),(40,1),(89,1),(90,1),(94,1),(159,1),(270,1),(271,1),(277,1),(376,1),(383,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(190,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(85,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(178,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(184,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(158,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(176,1),(178,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(263,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(358,1),(390,1),(394,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(184,1),(290,1),(297,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(176,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(191,1),(193,1),(195,1),(294,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(178,1),(287,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(375,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(60,1),(116,1),(117,1),(329,1)}
        83:{1,3,4,6}:{(57,1),(58,1),(62,1),(116,1),(118,1),(119,1),(129,1),(199,1),(301,1)}
        84:{2,3,4,7}:{(57,1),(63,1),(117,1),(119,1),(213,1),(317,1),(422,1)}
        85:{2,4,5}:{(58,1),(118,1),(121,1)}
        86:{1,3,4,5,7}:{(58,1),(59,1),(66,1),(119,1),(122,1),(123,1),(135,1),(202,1),(215,1),(247,1),(337,1),(340,1),(399,1),(405,1),(407,1),(422,1),(425,1),(496,1),(498,1),(532,1)}
        87:{2,3,4,6}:{(59,1),(67,1),(123,1),(124,1),(148,1),(218,1),(244,1),(328,1),(415,1),(495,1),(531,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(116,1),(126,1),(137,1),(301,1),(476,1)}
        89:{2,4,5,7}:{(60,1),(61,1),(63,1),(117,1),(126,1),(127,1),(132,1),(209,1),(317,1),(416,1)}
        90:{1,3,4,6,7}:{(61,1),(127,1),(128,1),(210,1),(320,1),(321,1),(418,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(118,1),(129,1),(130,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(131,1),(132,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(132,1),(133,1),(232,1)}
        95:{1,3,5}:{(65,1),(121,1),(129,1),(134,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(122,1),(130,1),(135,1),(136,1),(144,1),(230,1),(241,1),(337,1),(340,1),(532,1),(533,1),(534,1),(537,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(137,1)}
        98:{2,5,6}:{(67,1),(68,1),(132,1),(137,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(133,1),(138,1),(343,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(129,1),(139,1),(140,1),(145,1),(208,1),(227,1),(234,1),(241,1),(335,1),(344,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(130,1),(141,1),(209,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(131,1),(141,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(132,1),(142,1),(143,1),(232,1),(319,1),(324,1),(339,1),(345,1),(418,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(133,1),(143,1),(405,1)}
       105:{1,2,4}:{(73,1),(134,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(135,1),(144,1),(145,1),(241,1),(537,1),(538,1),(539,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(137,1),(146,1),(147,1),(243,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(147,1),(148,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(145,1),(149,1),(229,1),(243,1),(345,1),(530,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(146,1),(241,1),(339,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(147,1),(337,1),(340,1)}
       113:{3,4,5,7}:{(81,1),(148,1),(232,1),(422,1),(425,1)}
       114:{1,2,4,5}:{(85,1),(152,1),(153,1),(156,1),(256,1),(352,1)}
       115:{1,2,3,5}:{(153,1),(155,1),(156,1),(256,1)}
       116:{1,3,5,6}:{(82,1),(83,1),(88,1),(158,1),(159,1)}
       117:{2,3,5,7}:{(82,1),(84,1),(89,1),(159,1),(160,1),(376,1)}
       118:{2,4,6}:{(83,1),(85,1),(158,1),(161,1),(162,1)}
       119:{1,3,4,7}:{(83,1),(84,1),(92,1),(159,1),(162,1),(176,1),(251,1),(353,1)}
       120:{2,3,4,6,7}:{(84,1),(87,1),(93,1),(160,1),(163,1),(164,1),(190,1),(265,1),(268,1),(294,1),(369,1),(375,1),(459,1),(460,1),(464,1),(506,1)}
       121:{2,3,5}:{(85,1),(95,1),(153,1),(161,1),(165,1)}
       122:{2,4,5,7}:{(85,1),(86,1),(162,1),(166,1),(167,1),(269,1),(375,1),(378,1),(521,1),(522,1)}
       123:{1,3,4,6}:{(86,1),(87,1),(97,1),(167,1),(168,1),(181,1),(254,1),(288,1),(298,1),(361,1),(379,1),(441,1),(545,1)}
       124:{2,3,5,6}:{(87,1),(98,1),(164,1),(168,1),(169,1),(184,1),(290,1),(457,1),(519,1),(543,1)}
       125:{1,2,4,5,6}:{(88,1),(91,1),(158,1),(170,1),(171,1),(182,1),(185,1),(261,1),(274,1),(288,1),(291,1),(457,1),(469,1)}
       126:{1,4,5,7}:{(88,1),(89,1),(92,1),(159,1),(172,1),(178,1),(353,1),(442,1)}
       127:{2,4,6,7}:{(89,1),(90,1),(160,1),(172,1),(173,1),(263,1)}
       128:{1,3,5,6,7}:{(90,1),(94,1),(173,1),(174,1),(281,1),(383,1)}
       129:{1,3,6}:{(91,1),(95,1),(161,1),(176,1)}
       130:{1,2,4,7}:{(91,1),(92,1),(101,1),(162,1),(176,1)}
       131:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(178,1)}
       132:{2,5,7}:{(93,1),(94,1),(98,1),(178,1)}
       133:{1,4,5,7}:{(94,1),(99,1),(104,1),(179,1),(390,1)}
       134:{1,3,4}:{(95,1),(105,1),(165,1)}
       135:{1,3,5,7}:{(95,1),(96,1),(166,1),(176,1),(180,1),(181,1),(287,1),(546,1),(547,1)}
       136:{1,2,4,6}:{(96,1),(97,1),(107,1),(167,1),(181,1),(182,1),(288,1),(545,1),(548,1)}
       137:{1,5,6}:{(97,1),(98,1),(178,1)}
       138:{2,4,5,6}:{(98,1),(99,1),(109,1),(179,1),(183,1),(184,1),(290,1)}
       139:{1,2,4,6}:{(100,1),(105,1),(175,1),(185,1),(186,1),(261,1),(288,1)}
       140:{1,2,3,5,7}:{(100,1),(101,1),(176,1),(186,1),(187,1),(262,1),(282,1),(284,1),(292,1)}
       141:{1,2,6,7}:{(101,1),(102,1),(107,1),(263,1)}
       142:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(178,1),(188,1),(189,1),(284,1),(286,1),(293,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(109,1),(179,1),(189,1),(190,1),(375,1)}
       144:{1,2,4,7}:{(105,1),(106,1),(180,1),(191,1),(549,1)}
       145:{1,2,3,6}:{(106,1),(107,1),(181,1),(191,1),(548,1)}
       146:{1,2,5,6}:{(107,1),(108,1),(111,1),(193,1),(290,1)}
       147:{1,4,6}:{(108,1),(109,1),(112,1)}
       148:{3,4,6}:{(109,1),(113,1),(184,1)}
       149:{1,2,3,5,7}:{(110,1),(111,1),(192,1),(195,1),(196,1),(284,1),(389,1),(511,1),(546,1)}
       150:{1,2,4,5,7}:{(111,1),(112,1),(193,1),(195,1),(196,1),(197,1),(295,1)}
       151:{1,3,4,5,7}:{(112,1),(113,1),(194,1),(196,1),(197,1),(286,1),(388,1),(391,1)}
       152:{1,2,4,6}:{(114,1),(118,1),(198,1),(199,1),(200,1),(301,1)}
       153:{1,3,5}:{(114,1),(121,1),(199,1),(201,1)}
       154:{1,2,4,5,7}:{(114,1),(122,1),(200,1),(202,1),(203,1),(206,1),(247,1),(307,1),(311,1),(314,1),(351,1),(399,1),(405,1),(407,1),(500,1),(501,1)}
       155:{1,2,3,6}:{(115,1),(199,1),(204,1),(205,1)}
       156:{1,2,4}:{(115,1),(201,1)}
       157:{1,2,3,5,7}:{(115,1),(202,1),(205,1),(206,1),(207,1),(311,1),(314,1),(351,1),(440,1),(503,1)}
       158:{2,5,6}:{(116,1),(118,1),(209,1)}
       159:{1,3,5,7}:{(116,1),(117,1),(119,1),(126,1),(209,1),(210,1)}
       160:{2,3,6,7}:{(117,1),(127,1),(210,1),(418,1)}
       161:{2,3,6}:{(118,1),(121,1),(129,1),(199,1),(213,1)}
       162:{2,4,7}:{(118,1),(119,1),(209,1),(213,1)}
       163:{1,3,4,6,7}:{(119,1),(120,1),(123,1),(131,1),(210,1),(214,1),(215,1),(229,1),(306,1),(320,1),(337,1),(346,1),(400,1),(405,1),(418,1),(422,1),(494,1),(496,1),(529,1)}
       164:{2,3,5,7}:{(120,1),(124,1),(132,1),(215,1),(216,1),(232,1),(339,1),(416,1),(493,1),(528,1)}
       165:{2,3,4}:{(121,1),(134,1),(201,1)}
       166:{2,3,5,7}:{(121,1),(122,1),(135,1),(202,1),(213,1),(217,1),(218,1),(327,1),(540,1),(541,1)}
       167:{2,4,6}:{(122,1),(123,1),(218,1),(219,1)}
       168:{1,3,5,6}:{(123,1),(124,1),(137,1),(215,1),(219,1),(220,1),(329,1),(343,1),(476,1),(551,1)}
       169:{2,4,5,6}:{(124,1),(216,1),(220,1),(221,1),(328,1)}
       170:{1,3,5,6}:{(125,1),(129,1),(208,1),(222,1),(223,1),(227,1),(329,1),(335,1)}
       171:{1,2,4,5,7}:{(125,1),(126,1),(130,1),(209,1),(223,1),(224,1),(230,1),(317,1),(325,1),(337,1),(416,1),(429,1)}
       172:{1,4,6,7}:{(126,1),(127,1),(210,1),(225,1)}
       173:{2,5,6,7}:{(127,1),(128,1),(132,1),(225,1),(416,1)}
       174:{1,4,5,6,7}:{(128,1),(133,1),(226,1),(320,1),(429,1),(430,1)}
       175:{1,3,4,6}:{(129,1),(134,1),(139,1),(212,1),(227,1),(228,1),(335,1)}
       176:{1,3,7}:{(129,1),(130,1),(213,1)}
       177:{1,2,4,6,7}:{(130,1),(131,1),(136,1),(141,1),(214,1),(229,1),(230,1),(337,1),(529,1),(530,1),(533,1)}
       178:{1,5,7}:{(131,1),(132,1),(137,1)}
       179:{2,4,5,7}:{(132,1),(133,1),(138,1),(143,1),(231,1),(232,1),(339,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(144,1),(217,1),(233,1),(337,1),(552,1)}
       181:{1,3,6}:{(135,1),(136,1),(218,1)}
       182:{1,2,5,6}:{(136,1),(137,1),(219,1),(230,1),(234,1),(241,1),(551,1)}
       183:{1,4,5,6}:{(137,1),(138,1),(147,1),(231,1),(236,1)}
       184:{3,5,6}:{(138,1),(148,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(227,1),(241,1),(316,1),(340,1)}
       186:{1,2,4,7}:{(139,1),(140,1),(228,1),(317,1),(337,1)}
       187:{1,2,3,6,7}:{(140,1),(141,1),(145,1),(229,1),(238,1),(318,1),(335,1),(538,1)}
       188:{1,2,5,6,7}:{(141,1),(142,1),(146,1),(230,1),(239,1),(319,1),(339,1),(430,1)}
       189:{1,4,6,7}:{(142,1),(143,1),(147,1),(231,1),(337,1)}
       190:{3,4,6,7}:{(143,1),(148,1),(232,1),(418,1),(422,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(233,1),(241,1)}
       192:{1,2,3,5,6}:{(145,1),(146,1),(149,1),(234,1),(241,1),(242,1),(243,1),(342,1),(347,1),(486,1),(535,1),(539,1)}
       193:{1,2,4,6}:{(146,1),(147,1),(150,1),(243,1),(244,1)}
       194:{1,3,4,6}:{(147,1),(148,1),(151,1),(236,1),(243,1),(244,1)}
       195:{1,2,4,7}:{(149,1),(242,1),(245,1),(337,1),(432,1)}
       196:{1,3,5,7}:{(150,1),(243,1),(245,1),(246,1),(347,1)}
       197:{2,4,5,7}:{(151,1),(244,1),(246,1),(247,1),(339,1),(432,1),(434,1)}
       198:{1,2,5,6}:{(152,1),(158,1),(248,1),(249,1),(256,1),(363,1)}
       199:{1,3,6}:{(152,1),(153,1),(161,1),(251,1)}
       200:{1,2,4,7}:{(152,1),(162,1),(249,1),(251,1),(353,1)}
       201:{1,3,4}:{(153,1),(156,1),(165,1)}
       202:{1,3,5,7}:{(153,1),(154,1),(166,1),(251,1),(253,1),(254,1),(360,1),(524,1),(525,1)}
       203:{1,2,4,6}:{(154,1),(167,1),(254,1),(255,1),(298,1),(361,1),(363,1),(397,1),(441,1)}
       204:{1,2,4,6}:{(155,1),(156,1),(250,1),(256,1),(257,1),(363,1)}
       205:{1,2,3,7}:{(155,1),(251,1),(257,1)}
       206:{1,2,4,7}:{(156,1),(157,1),(253,1),(259,1),(526,1)}
       207:{1,2,3,6}:{(157,1),(254,1),(259,1),(363,1),(397,1)}
       208:{2,3,5,6}:{(158,1),(161,1),(170,1),(248,1),(261,1),(262,1),(266,1),(373,1),(457,1)}
       209:{2,5,7}:{(158,1),(159,1),(162,1),(263,1)}
       210:{1,3,6,7}:{(159,1),(160,1),(172,1),(263,1)}
       211:{2,3,5,6,7}:{(160,1),(164,1),(173,1),(264,1),(265,1),(281,1),(385,1),(460,1)}
       212:{2,3,4,6}:{(161,1),(165,1),(175,1),(250,1),(261,1),(266,1),(267,1),(373,1)}
       213:{2,3,7}:{(161,1),(162,1),(176,1),(251,1)}
       214:{2,4,6,7}:{(162,1),(163,1),(167,1),(263,1),(268,1),(269,1),(375,1),(520,1),(521,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(168,1),(178,1),(269,1),(270,1),(376,1),(390,1),(442,1),(544,1)}
       216:{2,4,5,7}:{(164,1),(169,1),(265,1),(270,1),(271,1),(375,1)}
       217:{2,3,4,7}:{(165,1),(166,1),(180,1),(253,1),(272,1),(375,1),(550,1)}
       218:{2,3,6}:{(166,1),(167,1),(181,1),(254,1)}
       219:{2,5,6}:{(167,1),(168,1),(269,1)}
       220:{1,4,5,6}:{(168,1),(169,1),(270,1),(274,1),(288,1),(361,1)}
       221:{3,4,5,6}:{(169,1),(184,1),(271,1),(379,1),(519,1)}
       222:{1,3,4,6}:{(170,1),(261,1),(276,1),(277,1),(288,1),(379,1)}
       223:{1,3,5,7}:{(170,1),(171,1),(176,1),(262,1),(277,1),(278,1),(376,1)}
       224:{1,2,4,6,7}:{(171,1),(172,1),(263,1),(278,1),(279,1),(291,1),(369,1),(371,1),(384,1)}
       225:{1,5,6,7}:{(172,1),(173,1),(178,1),(442,1)}
       226:{2,4,5,6,7}:{(173,1),(174,1),(179,1),(265,1),(280,1),(281,1),(371,1),(385,1),(458,1)}
       227:{1,3,5}:{(175,1),(185,1),(266,1)}
       228:{1,3,4,7}:{(175,1),(176,1),(186,1),(267,1),(282,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(181,1),(268,1),(284,1),(546,1)}
       230:{1,2,5,7}:{(177,1),(178,1),(182,1),(269,1),(284,1),(544,1)}
       231:{1,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(286,1)}
       232:{3,5,7}:{(179,1),(184,1),(190,1)}
       233:{1,3,4,6}:{(180,1),(181,1),(191,1),(272,1),(287,1),(288,1)}
       234:{1,3,5,6}:{(181,1),(182,1),(273,1),(284,1),(287,1),(288,1)}
       235:{1,2,4,5,6}:{(182,1),(183,1),(193,1),(274,1),(285,1),(288,1),(289,1),(290,1),(295,1),(381,1),(392,1),(468,1),(513,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(194,1),(286,1),(290,1)}
       237:{1,2,4,5,7}:{(185,1),(186,1),(282,1),(291,1),(292,1),(368,1),(387,1)}
       238:{1,2,4,6,7}:{(186,1),(187,1),(191,1),(283,1),(291,1),(292,1),(369,1),(516,1),(548,1)}
       239:{1,2,4,6,7}:{(188,1),(189,1),(193,1),(285,1),(293,1),(294,1),(371,1),(461,1),(520,1)}
       240:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(286,1),(293,1),(294,1),(388,1)}
       241:{1,2,5}:{(191,1),(287,1)}
       242:{1,2,4,6}:{(192,1),(195,1),(288,1),(295,1),(296,1),(392,1),(549,1)}
       243:{1,3,6}:{(193,1),(196,1),(297,1)}
       244:{2,4,6}:{(194,1),(197,1),(290,1),(297,1),(298,1)}
       245:{1,3,4,7}:{(195,1),(196,1),(296,1),(299,1),(546,1)}
       246:{2,3,5,7}:{(196,1),(197,1),(297,1),(299,1),(300,1),(395,1)}
       247:{1,4,5,7}:{(197,1),(298,1),(300,1),(390,1),(470,1),(472,1)}
       248:{1,3,5,6}:{(198,1),(199,1),(208,1),(301,1),(302,1),(304,1),(403,1),(476,1)}
       249:{1,2,5,7}:{(198,1),(200,1),(209,1),(302,1),(303,1)}
       250:{1,3,4,6}:{(199,1),(201,1),(204,1),(212,1),(301,1),(304,1),(305,1),(403,1)}
       251:{1,3,7}:{(199,1),(200,1),(213,1)}
       252:{1,2,4,6,7}:{(200,1),(203,1),(214,1),(303,1),(306,1),(307,1),(346,1),(400,1),(405,1),(437,1),(500,1)}
       253:{1,3,4,7}:{(201,1),(202,1),(206,1),(217,1),(308,1),(405,1),(542,1)}
       254:{1,3,6}:{(202,1),(203,1),(218,1)}
       255:{1,2,5,6}:{(203,1),(219,1),(307,1),(309,1),(314,1),(343,1),(476,1)}
       256:{1,2,5}:{(204,1),(304,1)}
       257:{1,2,4,7}:{(204,1),(205,1),(305,1),(311,1)}
       258:{1,2,3,6,7}:{(205,1),(207,1),(306,1),(312,1),(313,1),(437,1),(479,1),(487,1)}
       259:{1,2,4,6}:{(206,1),(207,1),(308,1),(314,1)}
       260:{1,2,3,5,6}:{(207,1),(309,1),(313,1),(314,1),(315,1),(409,1),(410,1),(413,1),(436,1),(487,1),(502,1),(503,1)}
       261:{2,4,6}:{(208,1),(222,1),(301,1),(316,1),(317,1)}
       262:{2,3,5,7}:{(208,1),(209,1),(213,1),(223,1),(302,1),(317,1),(318,1),(416,1)}
       263:{2,6,7}:{(209,1),(210,1)}
       264:{1,3,5,6,7}:{(210,1),(211,1),(215,1),(225,1),(319,1),(320,1),(418,1),(430,1),(494,1)}
       265:{2,4,6,7}:{(211,1),(216,1),(320,1),(321,1)}
       266:{2,3,5}:{(212,1),(227,1),(304,1),(316,1)}
       267:{2,3,4,7}:{(212,1),(213,1),(228,1),(305,1),(317,1),(322,1)}
       268:{2,3,6,7}:{(213,1),(214,1),(218,1),(229,1),(306,1),(324,1),(418,1),(540,1)}
       269:{2,5,7}:{(214,1),(215,1),(219,1)}
       270:{1,4,5,7}:{(215,1),(216,1),(220,1),(320,1),(325,1),(337,1),(405,1)}
       271:{3,4,5,7}:{(216,1),(221,1),(232,1),(321,1),(422,1),(493,1)}
       272:{2,3,4,6}:{(217,1),(218,1),(233,1),(308,1),(327,1),(328,1)}
       273:{2,3,5,6}:{(218,1),(219,1),(234,1),(309,1),(324,1),(327,1),(328,1),(329,1)}
       274:{2,4,5,6}:{(219,1),(220,1),(325,1),(328,1),(329,1)}
       275:{1,3,4,5,6}:{(220,1),(221,1),(236,1),(326,1),(329,1),(330,1),(341,1),(408,1),(427,1),(527,1)}
       276:{1,3,4,5}:{(222,1),(227,1),(316,1),(340,1),(425,1)}
       277:{1,3,4,7}:{(222,1),(223,1),(317,1),(337,1),(422,1)}
       278:{1,3,6,7}:{(223,1),(224,1),(318,1),(335,1),(418,1)}
       279:{1,2,5,6,7}:{(224,1),(225,1),(230,1),(319,1),(333,1),(344,1),(416,1),(530,1)}
       280:{1,4,5,6,7}:{(225,1),(226,1),(231,1),(320,1),(334,1),(477,1)}
       281:{3,5,6,7}:{(226,1),(232,1),(321,1),(418,1),(493,1)}
       282:{1,3,5,7}:{(227,1),(228,1),(237,1),(322,1),(335,1)}
       283:{1,3,4,6,7}:{(228,1),(229,1),(233,1),(238,1),(323,1),(335,1),(336,1),(337,1),(431,1),(489,1),(529,1),(536,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(234,1),(324,1),(337,1)}
       285:{1,2,4,5,7}:{(230,1),(231,1),(235,1),(239,1),(325,1),(337,1),(338,1),(339,1),(424,1),(432,1),(497,1),(533,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(240,1),(339,1)}
       287:{1,3,5}:{(233,1),(241,1),(327,1),(340,1)}
       288:{1,4,6}:{(234,1),(328,1),(337,1),(340,1)}
       289:{1,3,5,6}:{(235,1),(243,1),(329,1),(338,1),(341,1),(342,1),(347,1),(535,1)}
       290:{2,5,6}:{(236,1),(244,1),(339,1),(343,1)}
       291:{1,2,4,6}:{(237,1),(335,1),(344,1),(415,1),(431,1)}
       292:{1,2,5,7}:{(238,1),(241,1),(336,1),(344,1),(416,1)}
       293:{1,3,6,7}:{(239,1),(243,1),(338,1),(345,1),(418,1)}
       294:{2,4,6,7}:{(240,1),(244,1),(339,1),(345,1),(346,1),(432,1)}
       295:{1,2,4,5}:{(241,1),(242,1),(340,1),(347,1),(434,1)}
       296:{1,3,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1),(535,1),(552,1)}
       297:{2,3,6}:{(243,1),(244,1),(246,1),(349,1)}
       298:{1,4,6}:{(244,1),(247,1),(343,1),(349,1)}
       299:{2,3,4,7}:{(245,1),(246,1),(348,1),(350,1),(432,1),(540,1)}
       300:{1,3,5,7}:{(246,1),(247,1),(349,1),(350,1),(351,1),(438,1)}
       301:{1,4,6}:{(248,1),(261,1),(352,1),(353,1)}
       302:{1,3,5,7}:{(248,1),(249,1),(251,1),(262,1),(353,1),(354,1),(442,1)}
       303:{1,2,6,7}:{(249,1),(263,1),(354,1),(363,1)}
       304:{1,3,5}:{(250,1),(256,1),(266,1),(352,1)}
       305:{1,3,4,7}:{(250,1),(251,1),(257,1),(267,1),(353,1),(356,1)}
       306:{1,3,6,7}:{(251,1),(252,1),(254,1),(268,1),(358,1),(524,1)}
       307:{1,2,5,7}:{(252,1),(255,1),(269,1),(358,1),(390,1),(442,1)}
       308:{1,3,4,6}:{(253,1),(254,1),(259,1),(272,1),(360,1),(361,1)}
       309:{1,3,5,6}:{(254,1),(255,1),(273,1),(358,1),(360,1),(361,1)}
       310:{1,2,4,5,6}:{(255,1),(274,1),(359,1),(361,1),(362,1),(366,1),(381,1),(450,1),(452,1),(468,1),(473,1),(504,1),(543,1)}
       311:{1,2,5,7}:{(256,1),(257,1),(356,1),(363,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(259,1),(357,1),(363,1),(364,1),(365,1),(452,1),(506,1)}
       313:{1,2,3,5,7}:{(258,1),(260,1),(358,1),(364,1),(365,1),(448,1),(453,1),(471,1),(524,1)}
       314:{1,2,5}:{(259,1),(360,1)}
       315:{1,2,4,6}:{(260,1),(361,1),(365,1),(366,1),(367,1),(450,1),(526,1)}
       316:{2,4,5}:{(261,1),(266,1),(276,1),(352,1)}
       317:{2,4,7}:{(261,1),(262,1),(277,1),(353,1)}
       318:{2,3,6,7}:{(262,1),(263,1),(278,1),(354,1),(369,1),(373,1)}
       319:{2,5,6,7}:{(263,1),(264,1),(269,1),(371,1),(520,1)}
       320:{1,4,6,7}:{(264,1),(265,1),(270,1),(371,1)}
       321:{3,4,6,7}:{(265,1),(271,1),(281,1)}
       322:{2,3,5,7}:{(266,1),(267,1),(282,1),(356,1),(368,1),(373,1)}
       323:{2,3,4,6,7}:{(267,1),(268,1),(272,1),(283,1),(357,1),(369,1),(373,1),(374,1),(375,1),(454,1),(459,1),(462,1),(506,1),(514,1)}
       324:{2,3,5,7}:{(268,1),(269,1),(273,1),(284,1),(358,1),(375,1),(376,1)}
       325:{2,4,5,7}:{(269,1),(270,1),(274,1),(371,1),(375,1),(376,1)}
       326:{1,3,4,5,7}:{(270,1),(271,1),(275,1),(286,1),(372,1),(376,1),(377,1),(388,1),(447,1),(465,1),(505,1)}
       327:{2,3,5}:{(272,1),(287,1),(360,1),(378,1)}
       328:{2,4,6}:{(273,1),(288,1),(361,1),(375,1),(378,1),(379,1)}
       329:{3,5,6}:{(274,1),(376,1),(379,1)}
       330:{2,4,5,6}:{(275,1),(290,1),(377,1),(380,1),(381,1),(392,1),(450,1),(468,1),(543,1)}
       331:{1,3,4,5,7}:{(276,1),(277,1),(282,1),(368,1),(382,1),(383,1),(387,1),(463,1)}
       332:{1,3,4,6,7}:{(277,1),(278,1),(369,1),(382,1),(383,1),(384,1),(459,1)}
       333:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(370,1),(383,1),(384,1),(386,1),(507,1),(544,1)}
       334:{1,3,5,6,7}:{(280,1),(281,1),(286,1),(372,1),(385,1),(505,1)}
       335:{1,3,6}:{(282,1),(291,1),(373,1)}
       336:{1,3,5,7}:{(283,1),(287,1),(292,1),(374,1),(386,1),(387,1),(544,1)}
       337:{1,4,7}:{(284,1),(288,1),(375,1)}
       338:{1,3,5,7}:{(285,1),(289,1),(293,1),(376,1),(388,1),(389,1),(546,1)}
       339:{2,5,7}:{(286,1),(290,1),(294,1),(390,1)}
       340:{1,4,5}:{(287,1),(288,1),(378,1)}
       341:{1,3,4,6}:{(288,1),(289,1),(379,1),(388,1),(391,1),(392,1)}
       342:{2,3,5,6}:{(289,1),(290,1),(297,1),(389,1),(392,1),(393,1),(395,1),(468,1),(523,1)}
       343:{1,5,6}:{(290,1),(298,1),(390,1)}
       344:{1,2,5,6}:{(291,1),(292,1),(386,1),(457,1),(548,1)}
       345:{2,3,6,7}:{(293,1),(294,1),(297,1),(389,1),(394,1),(520,1)}
       346:{1,4,6,7}:{(294,1),(298,1),(390,1),(394,1),(470,1)}
       347:{1,3,5}:{(295,1),(296,1),(395,1)}
       348:{2,3,4,6}:{(296,1),(297,1),(299,1),(392,1),(395,1),(396,1),(523,1),(550,1)}
       349:{1,3,6}:{(297,1),(298,1),(300,1),(397,1)}
       350:{1,3,4,7}:{(299,1),(300,1),(396,1),(398,1),(470,1),(524,1)}
       351:{1,2,5,7}:{(300,1),(397,1),(398,1),(474,1)}
       352:{1,4,5}:{(301,1),(304,1),(316,1)}
       353:{1,4,7}:{(301,1),(302,1),(317,1)}
       354:{1,3,6,7}:{(302,1),(303,1),(318,1),(400,1),(403,1)}
       355:{1,2,5,6,7}:{(303,1),(307,1),(319,1),(401,1),(402,1),(410,1),(430,1),(528,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(311,1),(322,1),(399,1),(403,1)}
       357:{1,3,4,6,7}:{(305,1),(306,1),(308,1),(312,1),(323,1),(400,1),(403,1),(404,1),(405,1),(412,1),(480,1),(487,1)}
       358:{1,3,5,7}:{(306,1),(307,1),(309,1),(324,1),(405,1)}
       359:{1,2,4,5,7}:{(307,1),(310,1),(325,1),(402,1),(405,1),(406,1),(424,1),(477,1),(482,1),(497,1),(500,1),(528,1)}
       360:{1,3,5}:{(308,1),(314,1),(327,1),(407,1)}
       361:{1,4,6}:{(309,1),(328,1),(405,1),(407,1)}
       362:{1,3,5,6}:{(310,1),(329,1),(406,1),(408,1),(409,1),(413,1),(487,1),(502,1)}
       363:{1,2,6}:{(311,1),(403,1)}
       364:{1,2,5,7}:{(312,1),(314,1),(404,1),(410,1),(528,1)}
       365:{1,2,4,7}:{(313,1),(315,1),(405,1),(412,1),(482,1)}
       366:{1,2,4,5}:{(314,1),(315,1),(407,1),(413,1),(484,1)}
       367:{1,3,4,6}:{(315,1),(412,1),(413,1),(414,1),(487,1),(502,1),(542,1)}
       368:{2,4,5,7}:{(316,1),(317,1),(322,1),(331,1),(399,1),(415,1),(416,1)}
       369:{2,4,6,7}:{(317,1),(318,1),(332,1),(400,1),(415,1),(416,1)}
       370:{2,3,5,6,7}:{(318,1),(319,1),(324,1),(333,1),(401,1),(416,1),(417,1),(418,1),(420,1),(479,1),(493,1),(528,1)}
       371:{2,4,6,7}:{(319,1),(320,1),(325,1),(418,1)}
       372:{1,3,4,6,7}:{(320,1),(321,1),(326,1),(334,1),(418,1),(419,1),(494,1)}
       373:{2,3,6}:{(322,1),(335,1),(403,1),(415,1)}
       374:{2,3,5,7}:{(323,1),(327,1),(336,1),(404,1),(416,1),(420,1),(421,1),(493,1),(528,1)}
       375:{2,4,7}:{(324,1),(328,1),(337,1),(405,1),(422,1)}
       376:{3,5,7}:{(325,1),(329,1),(418,1),(422,1)}
       377:{2,4,5,7}:{(326,1),(330,1),(339,1),(419,1),(423,1),(424,1),(432,1),(482,1),(497,1),(528,1)}
       378:{2,4,5}:{(327,1),(328,1),(340,1),(407,1),(425,1)}
       379:{3,4,6}:{(328,1),(329,1),(422,1),(425,1)}
       380:{2,3,5,6}:{(329,1),(330,1),(423,1),(426,1),(427,1)}
       381:{1,4,5,6}:{(330,1),(343,1),(424,1),(427,1),(435,1),(485,1),(551,1)}
       382:{1,3,4,6}:{(331,1),(335,1),(415,1),(428,1),(431,1),(495,1)}
       383:{1,3,5,7}:{(332,1),(416,1),(428,1),(429,1),(493,1)}
       384:{1,4,6,7}:{(333,1),(337,1),(417,1),(429,1),(431,1)}
       385:{2,5,6,7}:{(334,1),(339,1),(419,1),(430,1),(528,1)}
       386:{1,3,5,6}:{(335,1),(336,1),(344,1),(420,1),(431,1),(536,1),(551,1)}
       387:{1,4,5,7}:{(336,1),(337,1),(340,1),(421,1),(431,1)}
       388:{1,3,4,7}:{(337,1),(338,1),(341,1),(422,1),(432,1)}
       389:{2,3,5,7}:{(338,1),(339,1),(342,1),(345,1),(432,1),(433,1),(497,1),(540,1)}
       390:{1,5,7}:{(339,1),(343,1),(346,1)}
       391:{1,3,4,5}:{(340,1),(341,1),(347,1),(425,1),(434,1)}
       392:{2,4,6}:{(341,1),(342,1),(432,1),(434,1),(435,1)}
       393:{1,3,5,6}:{(342,1),(343,1),(349,1),(433,1),(435,1),(436,1),(438,1),(502,1)}
       394:{1,3,6,7}:{(345,1),(346,1),(349,1),(433,1),(437,1)}
       395:{2,3,5}:{(347,1),(348,1),(434,1),(438,1)}
       396:{1,3,4,6}:{(348,1),(349,1),(350,1),(435,1),(438,1),(439,1),(502,1),(542,1)}
       397:{1,2,6}:{(349,1),(351,1)}
       398:{1,2,4,7}:{(350,1),(351,1),(439,1),(440,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(356,1),(368,1),(441,1),(442,1)}
       400:{1,4,6,7}:{(353,1),(354,1),(369,1),(441,1),(442,1)}
       401:{1,3,5,6,7}:{(354,1),(355,1),(358,1),(370,1),(442,1),(443,1),(444,1),(445,1),(505,1)}
       402:{1,2,4,6,7}:{(355,1),(359,1),(371,1),(443,1),(444,1),(452,1),(461,1),(506,1),(520,1)}
       403:{1,3,6}:{(356,1),(363,1),(373,1),(441,1)}
       404:{1,3,5,7}:{(357,1),(360,1),(364,1),(374,1),(442,1),(445,1),(446,1)}
       405:{1,4,7}:{(358,1),(361,1),(375,1)}
       406:{1,3,5,7}:{(359,1),(362,1),(376,1),(444,1),(447,1),(448,1),(524,1)}
       407:{1,4,5}:{(360,1),(361,1),(378,1)}
       408:{1,3,4,6}:{(361,1),(362,1),(379,1),(447,1),(449,1),(450,1)}
       409:{2,3,5,6}:{(362,1),(448,1),(450,1),(451,1),(455,1),(468,1),(514,1),(523,1),(543,1)}
       410:{1,2,5,6}:{(363,1),(364,1),(445,1),(452,1),(543,1)}
       411:{1,2,4,5,7}:{(364,1),(365,1),(366,1),(446,1),(452,1),(453,1),(509,1)}
       412:{1,3,4,7}:{(365,1),(367,1),(453,1),(454,1),(524,1)}
       413:{1,3,5}:{(366,1),(367,1),(455,1)}
       414:{2,3,4,6}:{(367,1),(450,1),(454,1),(455,1),(456,1),(514,1),(523,1),(550,1)}
       415:{2,4,6}:{(368,1),(373,1),(382,1),(441,1),(457,1)}
       416:{2,5,7}:{(369,1),(383,1),(442,1),(457,1)}
       417:{2,4,6,7}:{(370,1),(375,1),(384,1),(443,1),(458,1),(459,1),(462,1)}
       418:{3,6,7}:{(371,1),(376,1)}
       419:{2,4,6,7}:{(372,1),(377,1),(385,1),(460,1),(461,1),(520,1)}
       420:{2,3,5,6}:{(373,1),(374,1),(386,1),(445,1),(457,1),(462,1),(514,1),(519,1),(543,1)}
       421:{2,4,5,7}:{(374,1),(375,1),(378,1),(387,1),(446,1),(462,1),(463,1)}
       422:{3,4,7}:{(375,1),(376,1),(379,1)}
       423:{2,3,5,7}:{(376,1),(377,1),(380,1),(460,1),(464,1),(465,1)}
       424:{1,4,5,7}:{(377,1),(381,1),(390,1),(461,1),(465,1),(470,1),(510,1),(544,1)}
       425:{3,4,5}:{(378,1),(379,1)}
       426:{2,3,4,6}:{(379,1),(380,1),(392,1),(450,1),(464,1),(466,1),(467,1),(523,1)}
       427:{1,3,5,6}:{(380,1),(381,1),(465,1),(467,1),(468,1)}
       428:{1,3,5,6}:{(382,1),(383,1),(457,1),(469,1),(519,1)}
       429:{1,4,5,7}:{(383,1),(384,1),(458,1),(469,1),(544,1)}
       430:{1,5,6,7}:{(385,1),(390,1),(461,1),(544,1)}
       431:{1,4,6}:{(386,1),(387,1),(462,1)}
       432:{2,4,7}:{(388,1),(389,1),(392,1),(470,1)}
       433:{1,3,5,7}:{(389,1),(390,1),(393,1),(394,1),(470,1),(471,1),(524,1)}
       434:{2,4,5}:{(391,1),(392,1),(395,1),(472,1)}
       435:{1,4,6}:{(392,1),(393,1),(470,1),(472,1)}
       436:{1,2,5,6}:{(393,1),(397,1),(468,1),(471,1),(473,1),(474,1)}
       437:{1,2,6,7}:{(394,1),(397,1),(471,1),(520,1)}
       438:{1,3,5}:{(395,1),(396,1),(472,1),(474,1)}
       439:{1,2,4,6}:{(396,1),(397,1),(398,1),(474,1),(475,1),(526,1)}
       440:{1,2,3,7}:{(398,1),(475,1),(524,1)}
       441:{1,4,6}:{(399,1),(403,1),(415,1),(476,1)}
       442:{1,5,7}:{(400,1),(416,1),(476,1)}
       443:{1,4,6,7}:{(401,1),(405,1),(417,1),(477,1),(480,1)}
       444:{1,3,6,7}:{(402,1),(406,1),(418,1),(479,1),(487,1)}
       445:{1,3,5,6}:{(403,1),(404,1),(410,1),(420,1),(476,1),(480,1),(487,1)}
       446:{1,4,5,7}:{(404,1),(405,1),(407,1),(421,1),(480,1)}
       447:{1,3,4,7}:{(405,1),(406,1),(408,1),(422,1),(482,1)}
       448:{2,3,5,7}:{(406,1),(409,1),(479,1),(482,1),(483,1),(497,1),(528,1),(540,1)}
       449:{1,3,4,5}:{(407,1),(408,1),(413,1),(425,1),(484,1)}
       450:{2,4,6}:{(408,1),(409,1),(482,1),(484,1),(485,1)}
       451:{1,3,5,6}:{(409,1),(483,1),(485,1),(486,1),(490,1),(535,1),(536,1),(551,1)}
       452:{1,2,4,6}:{(410,1),(411,1),(480,1),(487,1),(531,1)}
       453:{1,3,5,7}:{(411,1),(412,1),(413,1),(487,1),(488,1)}
       454:{2,3,4,7}:{(412,1),(414,1),(482,1),(488,1),(489,1),(540,1)}
       455:{2,3,5}:{(413,1),(414,1),(484,1),(490,1)}
       456:{1,3,4,6}:{(414,1),(485,1),(489,1),(490,1),(491,1),(535,1),(536,1),(552,1)}
       457:{2,5,6}:{(415,1),(416,1),(428,1),(476,1)}
       458:{2,4,5,7}:{(416,1),(417,1),(429,1),(477,1),(492,1),(493,1),(528,1)}
       459:{3,4,6,7}:{(417,1),(418,1),(422,1),(493,1),(495,1)}
       460:{2,3,6,7}:{(418,1),(419,1),(423,1),(494,1)}
       461:{1,4,6,7}:{(419,1),(424,1),(430,1),(494,1)}
       462:{2,4,6}:{(420,1),(421,1),(431,1),(480,1),(495,1)}
       463:{3,4,5,7}:{(421,1),(422,1),(425,1),(493,1),(495,1)}
       464:{2,3,4,7}:{(422,1),(423,1),(426,1),(432,1),(482,1),(496,1),(540,1)}
       465:{1,3,5,7}:{(423,1),(424,1),(427,1),(494,1),(496,1),(497,1)}
       466:{2,3,4,5}:{(425,1),(426,1),(434,1),(484,1),(498,1),(541,1)}
       467:{1,3,4,6}:{(426,1),(427,1),(435,1),(485,1),(496,1),(498,1),(499,1),(502,1),(535,1)}
       468:{2,5,6}:{(427,1),(497,1),(499,1)}
       469:{1,4,5,6}:{(428,1),(429,1),(431,1),(492,1),(551,1)}
       470:{1,4,7}:{(432,1),(433,1),(435,1)}
       471:{1,2,5,7}:{(433,1),(436,1),(437,1),(497,1),(500,1)}
       472:{1,4,5}:{(434,1),(435,1),(438,1)}
       473:{1,2,4,6}:{(435,1),(436,1),(499,1),(500,1),(501,1),(502,1)}
       474:{1,2,5}:{(438,1),(439,1)}
       475:{1,2,3,6}:{(439,1),(440,1),(502,1),(503,1)}
       476:{1,5,6}:{(441,1),(442,1),(457,1)}
       477:{1,4,5,7}:{(442,1),(443,1),(458,1),(504,1),(505,1)}
       478:{1,3,4,6,7}:{(443,1),(444,1),(447,1),(459,1),(505,1),(506,1),(508,1)}
       479:{2,3,6,7}:{(444,1),(448,1),(506,1),(507,1),(514,1),(520,1)}
       480:{1,4,6}:{(445,1),(446,1),(462,1)}
       481:{1,3,4,5,7}:{(446,1),(447,1),(449,1),(453,1),(463,1),(505,1),(508,1),(509,1)}
       482:{2,4,7}:{(447,1),(448,1),(450,1),(510,1)}
       483:{1,3,5,7}:{(448,1),(451,1),(507,1),(510,1),(511,1),(544,1),(546,1)}
       484:{2,4,5}:{(449,1),(450,1),(455,1),(512,1)}
       485:{1,4,6}:{(450,1),(451,1),(510,1),(512,1)}
       486:{1,2,5,6}:{(451,1),(468,1),(511,1),(513,1),(517,1),(548,1)}
       487:{1,3,6}:{(452,1),(453,1),(514,1)}
       488:{2,3,5,7}:{(453,1),(454,1),(455,1),(509,1),(514,1),(515,1)}
       489:{1,3,4,7}:{(454,1),(456,1),(510,1),(515,1),(516,1),(546,1)}
       490:{1,3,5}:{(455,1),(456,1),(512,1),(517,1)}
       491:{1,2,4,6}:{(456,1),(516,1),(517,1),(518,1),(548,1),(549,1)}
       492:{2,4,5,6}:{(457,1),(458,1),(462,1),(469,1),(504,1),(519,1),(543,1)}
       493:{3,5,7}:{(458,1),(459,1),(519,1)}
       494:{1,3,6,7}:{(460,1),(461,1),(465,1),(520,1)}
       495:{3,4,6}:{(462,1),(463,1),(519,1)}
       496:{1,3,4,7}:{(464,1),(465,1),(467,1),(470,1),(510,1),(521,1),(524,1),(546,1)}
       497:{2,5,7}:{(465,1),(468,1),(520,1),(521,1)}
       498:{1,3,4,5}:{(466,1),(467,1),(472,1),(512,1),(522,1),(525,1),(547,1)}
       499:{2,4,6}:{(467,1),(468,1),(521,1),(522,1),(523,1)}
       500:{1,2,4,7}:{(470,1),(471,1),(473,1),(521,1),(524,1)}
       501:{1,2,4,5}:{(472,1),(473,1),(474,1),(522,1),(525,1),(526,1)}
       502:{1,3,6}:{(473,1),(523,1),(524,1),(525,1)}
       503:{1,2,3,5}:{(474,1),(475,1),(525,1),(526,1)}
       504:{1,4,5,6}:{(476,1),(477,1),(480,1),(492,1),(527,1)}
       505:{1,3,5,7}:{(477,1),(478,1),(493,1),(527,1),(528,1)}
       506:{2,4,6,7}:{(478,1),(479,1),(482,1),(528,1),(529,1),(531,1)}
       507:{1,3,6,7}:{(479,1),(483,1),(529,1),(530,1),(536,1)}
       508:{1,3,4,6}:{(480,1),(481,1),(487,1),(495,1),(527,1),(531,1)}
       509:{2,4,5,7}:{(481,1),(482,1),(484,1),(488,1),(528,1),(531,1),(532,1)}
       510:{1,4,7}:{(482,1),(483,1),(485,1)}
       511:{1,2,5,7}:{(483,1),(486,1),(497,1),(530,1),(533,1)}
       512:{1,4,5}:{(484,1),(485,1),(490,1)}
       513:{1,2,4,6}:{(485,1),(486,1),(499,1),(533,1),(534,1),(535,1)}
       514:{2,3,6}:{(487,1),(488,1),(531,1),(536,1)}
       515:{1,3,5,7}:{(488,1),(489,1),(490,1),(532,1),(536,1),(537,1)}
       516:{1,2,4,7}:{(489,1),(491,1),(537,1),(538,1)}
       517:{1,2,5}:{(490,1),(491,1)}
       518:{1,2,3,6}:{(491,1),(535,1),(538,1),(539,1)}
       519:{3,5,6}:{(492,1),(493,1),(495,1)}
       520:{2,6,7}:{(494,1),(497,1)}
       521:{2,4,7}:{(496,1),(497,1),(499,1),(540,1)}
       522:{2,4,5}:{(498,1),(499,1),(541,1)}
       523:{2,3,6}:{(499,1),(502,1),(535,1),(540,1),(541,1)}
       524:{1,3,7}:{(500,1),(502,1),(540,1)}
       525:{1,3,5}:{(501,1),(502,1),(541,1),(542,1)}
       526:{1,2,4}:{(503,1),(542,1)}
       527:{1,3,5,6}:{(504,1),(505,1),(508,1),(519,1),(543,1)}
       528:{2,5,7}:{(505,1),(506,1),(543,1),(544,1)}
       529:{1,4,6,7}:{(506,1),(507,1),(510,1),(544,1),(545,1)}
       530:{1,2,6,7}:{(507,1),(511,1),(520,1),(548,1)}
       531:{2,4,6}:{(508,1),(509,1),(514,1),(543,1),(545,1)}
       532:{1,4,5,7}:{(509,1),(510,1),(512,1),(515,1),(544,1),(545,1)}
       533:{1,2,4,7}:{(510,1),(511,1),(513,1),(521,1),(546,1)}
       534:{1,2,4,5}:{(512,1),(513,1),(517,1),(522,1),(547,1),(549,1)}
       535:{1,3,6}:{(513,1),(523,1),(546,1),(547,1)}
       536:{1,3,6}:{(514,1),(515,1),(545,1),(548,1)}
       537:{1,2,5,7}:{(515,1),(516,1),(517,1),(548,1)}
       538:{1,2,3,7}:{(516,1),(518,1),(546,1)}
       539:{1,2,3,5}:{(517,1),(518,1),(547,1),(549,1)}
       540:{2,3,7}:{(521,1),(523,1),(524,1),(546,1)}
       541:{2,3,5}:{(522,1),(523,1),(525,1),(547,1),(550,1)}
       542:{1,3,4}:{(525,1),(526,1),(550,1)}
       543:{2,5,6}:{(527,1),(528,1),(531,1),(551,1)}
       544:{1,5,7}:{(528,1),(529,1),(551,1)}
       545:{1,4,6}:{(531,1),(532,1),(536,1),(551,1)}
       546:{1,3,7}:{(533,1),(535,1),(540,1)}
       547:{1,3,5}:{(534,1),(535,1),(541,1),(552,1)}
       548:{1,2,6}:{(536,1),(537,1)}
       549:{1,2,4}:{(539,1),(552,1)}
       550:{2,3,4}:{(541,1),(542,1),(552,1)}
       551:{1,5,6}:{(543,1),(544,1),(545,1)}
       552:{1,3,4}:{(547,1),(549,1),(550,1)}

1729 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1730 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1731 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(45,1),(121,1),(157,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(24,1),(25,1),(26,1),(64,1),(65,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(24,1),(27,1),(168,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(56,1),(64,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(34,1),(74,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(124,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(82,1),(83,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(44,1),(88,1),(158,1)}
        25:{1,3,5}:{(11,1),(14,1),(38,1),(41,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(42,1),(45,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(43,1),(45,1),(46,1),(78,1),(157,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(79,1),(88,1)}
        30:{1,3,4,6}:{(16,1),(19,1),(21,1),(48,1),(49,1),(50,1),(51,1),(94,1),(95,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,4,7}:{(18,1),(19,1),(48,1),(53,1),(55,1)}
        34:{1,2,5}:{(19,1),(49,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(48,1),(58,1),(60,1),(108,1),(144,1)}
        38:{2,3,5}:{(21,1),(25,1),(49,1),(57,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(64,1),(106,1)}
        41:{1,4,5}:{(25,1),(57,1),(64,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(58,1),(63,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(64,1),(65,1),(66,1),(112,1),(143,1),(163,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,6}:{(27,1),(65,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(66,1),(67,1),(104,1),(168,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,4,7}:{(30,1),(33,1),(37,1),(70,1),(72,1),(119,1),(124,1)}
        49:{1,3,5}:{(30,1),(34,1),(38,1),(69,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(34,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(70,1),(76,1)}
        54:{1,2,5,6}:{(34,1),(35,1),(71,1),(75,1),(76,1),(77,1),(151,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(38,1),(41,1),(69,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(42,1),(70,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(82,1),(83,1),(84,1),(123,1),(125,1),(130,1),(151,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(88,1),(129,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(81,1),(87,1),(88,1),(133,1)}
        64:{1,4,6}:{(41,1),(43,1),(82,1),(88,1)}
        65:{1,3,6}:{(42,1),(45,1),(83,1),(87,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(89,1),(133,1),(158,1),(171,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(49,1),(57,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(53,1),(58,1),(93,1),(95,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(54,1),(59,1),(90,1),(94,1),(95,1),(96,1),(100,1),(140,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(54,1),(94,1),(100,1),(101,1),(138,1)}
        76:{1,2,6}:{(53,1),(95,1)}
        77:{1,2,5,7}:{(54,1),(55,1),(96,1),(101,1),(102,1),(164,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1),(108,1),(149,1)}
        82:{2,4,6}:{(57,1),(59,1),(64,1),(94,1),(106,1),(108,1)}
        83:{2,3,6}:{(58,1),(65,1),(95,1),(107,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(104,1),(108,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        85:{1,4,5,6}:{(61,1),(64,1),(103,1),(110,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,6}:{(63,1),(65,1),(107,1),(112,1)}
        88:{1,4,7}:{(64,1),(66,1),(108,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(113,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,5,7}:{(69,1),(70,1),(81,1),(118,1),(119,1),(156,1)}
        94:{1,4,6}:{(69,1),(71,1),(82,1),(119,1)}
        95:{1,3,6}:{(70,1),(76,1),(83,1),(118,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(77,1),(84,1),(115,1),(119,1),(120,1),(124,1),(156,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(77,1),(119,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(82,1),(85,1),(114,1),(125,1),(126,1),(130,1),(151,1),(161,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(125,1),(129,1)}
       107:{2,4,6}:{(81,1),(83,1),(87,1),(118,1),(128,1),(130,1)}
       108:{2,4,7}:{(82,1),(84,1),(88,1),(119,1),(129,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(131,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(88,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,5,6}:{(87,1),(130,1),(133,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(89,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(94,1),(103,1),(134,1),(135,1),(140,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(94,1),(100,1),(106,1),(134,1),(138,1),(139,1)}
       118:{1,4,6}:{(93,1),(95,1),(107,1),(140,1)}
       119:{1,4,7}:{(94,1),(96,1),(108,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(141,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(106,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(108,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,6}:{(105,1),(107,1),(147,1)}
       129:{3,4,7}:{(106,1),(108,1),(145,1)}
       130:{2,5,6}:{(107,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(119,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(119,1),(124,1),(129,1),(152,1),(155,1)}
       140:{1,5,6}:{(118,1),(130,1),(156,1)}
       141:{1,4,6,7}:{(118,1),(119,1),(120,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(129,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,5,6}:{(128,1),(130,1),(161,1),(162,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(159,1),(162,1),(173,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(162,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{4,5,6}:{(147,1),(170,1)}
       162:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(162,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1732 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

1733 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(44,1),(69,1),(117,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(46,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(62,1),(65,1),(92,1),(137,1)}
        12:{1,2,5}:{(4,1),(23,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(24,1),(26,1),(138,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(25,1),(28,1),(29,1),(60,1),(62,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(32,1),(71,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(77,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(121,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(81,1),(84,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(36,1),(40,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(46,1),(88,1),(154,1)}
        25:{1,2,5,6}:{(12,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(42,1),(44,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(43,1),(46,1),(86,1),(88,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(50,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(51,1),(53,1),(56,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,5}:{(21,1),(23,1),(50,1),(57,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(51,1),(59,1),(61,1),(108,1),(140,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(23,1),(57,1),(62,1)}
        41:{1,3,5,6}:{(23,1),(25,1),(28,1),(58,1),(62,1),(64,1),(65,1),(114,1),(137,1),(164,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(26,1),(59,1),(63,1),(65,1)}
        43:{1,2,5,7}:{(25,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        44:{1,2,6}:{(26,1),(65,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(32,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,5}:{(31,1),(32,1),(36,1),(73,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(37,1),(75,1),(79,1),(121,1),(123,1)}
        52:{1,2,5,6}:{(32,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(36,1),(40,1),(73,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(41,1),(74,1),(81,1),(83,1),(84,1),(85,1),(119,1),(127,1),(132,1),(155,1)}
        59:{2,3,5,7}:{(36,1),(37,1),(42,1),(75,1),(82,1),(84,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(88,1)}
        63:{1,4,5,7}:{(40,1),(42,1),(82,1),(88,1),(89,1),(135,1)}
        64:{1,3,5,7}:{(41,1),(43,1),(46,1),(83,1),(88,1),(90,1),(135,1),(154,1),(171,1)}
        65:{1,3,6}:{(42,1),(44,1),(84,1),(89,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(88,1),(91,1),(128,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(52,1),(96,1),(97,1),(98,1),(139,1)}
        73:{1,4,5}:{(50,1),(57,1),(98,1)}
        74:{1,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(96,1),(98,1),(100,1),(101,1),(103,1),(145,1)}
        75:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(99,1),(101,1)}
        76:{1,2,5,7}:{(52,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        77:{1,2,6}:{(53,1),(101,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(63,1),(99,1),(106,1),(108,1),(109,1),(151,1)}
        83:{2,3,5,7}:{(58,1),(61,1),(64,1),(100,1),(108,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        84:{2,3,6}:{(59,1),(65,1),(101,1),(109,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(62,1),(67,1),(107,1),(112,1),(114,1),(164,1)}
        88:{1,4,7}:{(62,1),(64,1),(108,1)}
        89:{1,4,6}:{(63,1),(65,1),(109,1),(114,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(113,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(76,1),(121,1),(123,1),(156,1)}
        98:{1,4,6}:{(73,1),(74,1),(81,1),(123,1)}
        99:{1,4,5,7}:{(73,1),(75,1),(82,1),(123,1),(124,1),(159,1)}
       100:{1,3,5,7}:{(74,1),(76,1),(79,1),(83,1),(121,1),(123,1),(125,1),(126,1),(159,1)}
       101:{1,3,6}:{(75,1),(77,1),(84,1),(124,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,6}:{(80,1),(81,1),(127,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,5,6}:{(81,1),(85,1),(87,1),(122,1),(127,1),(130,1),(132,1),(155,1),(162,1)}
       108:{2,4,7}:{(81,1),(83,1),(88,1),(123,1),(128,1)}
       109:{2,4,6}:{(82,1),(84,1),(89,1),(124,1),(129,1),(132,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(131,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,4,6,7}:{(88,1),(89,1),(90,1),(131,1),(135,1)}
       114:{1,5,6}:{(89,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(98,1),(105,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(98,1),(103,1),(107,1),(141,1),(143,1),(145,1)}
       123:{1,4,7}:{(98,1),(100,1),(108,1)}
       124:{1,4,6}:{(99,1),(101,1),(109,1),(145,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(144,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(105,1),(107,1),(147,1)}
       128:{3,4,7}:{(105,1),(108,1),(147,1)}
       129:{3,4,6}:{(106,1),(109,1),(149,1)}
       130:{2,4,5,7}:{(107,1),(108,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,5,6}:{(109,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(123,1),(128,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,4,6,7}:{(123,1),(124,1),(125,1),(131,1),(159,1)}
       145:{1,5,6}:{(124,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(128,1),(130,1),(160,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(160,1),(161,1),(173,1)}
       149:{3,5,6}:{(129,1),(132,1),(161,1),(162,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(161,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1734 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1735 :   0:{1,2,3,6,7}:{(1,1),(2,1),(36,1),(76,1),(84,1),(144,1),(209,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(21,1),(60,1),(99,1),(109,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(105,1),(246,1),(314,1),(322,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(55,1),(62,1),(99,1),(237,1),(240,1),(307,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(36,1),(40,1),(79,1),(133,1),(209,1),(213,1),(282,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(11,1),(132,1),(221,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(36,1),(38,1),(78,1),(144,1),(212,1),(221,1),(284,1),(293,1),(296,1)}
         7:{1,2,4,7}:{(2,1),(13,1),(14,1),(138,1),(282,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(86,1),(132,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(55,1),(93,1),(99,1),(191,1),(194,1),(265,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1),(169,1),(251,1)}
        11:{1,2,5,6}:{(5,1),(18,1),(21,1),(101,1),(109,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(51,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1),(107,1),(250,1),(329,1)}
        14:{1,3,4,7}:{(7,1),(22,1),(24,1),(25,1),(322,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(55,1),(63,1),(101,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(307,1),(310,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(124,1),(132,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(15,1),(29,1),(32,1),(36,1),(79,1),(135,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(282,1),(287,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(132,1),(140,1),(205,1),(208,1),(226,1),(270,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(36,1),(73,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1)}
        23:{1,2,4,5}:{(13,1),(38,1),(81,1),(221,1),(287,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(293,1),(297,1)}
        25:{2,3,4,7}:{(14,1),(37,1),(39,1),(40,1),(138,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(41,1),(76,1),(86,1),(132,1),(270,1),(272,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(86,1),(336,1),(339,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(55,1),(94,1),(101,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(265,1),(268,1)}
        31:{1,3,5,6,7}:{(18,1),(20,1),(26,1),(45,1),(48,1),(53,1),(98,1),(106,1),(169,1),(246,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(22,1),(28,1),(47,1),(50,1),(51,1),(57,1),(98,1),(104,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(48,1),(52,1),(53,1),(99,1),(242,1),(262,1),(304,1),(311,1)}
        35:{1,2,4,5,6}:{(21,1),(23,1),(49,1),(52,1),(54,1),(101,1),(107,1),(172,1),(173,1),(192,1),(238,1),(248,1),(250,1),(256,1)}
        36:{1,3,6}:{(21,1),(22,1),(55,1)}
        37:{2,3,5,7}:{(22,1),(25,1),(51,1),(55,1),(56,1),(58,1)}
        38:{1,3,5}:{(23,1),(24,1),(58,1)}
        39:{2,3,4,6}:{(24,1),(25,1),(55,1),(58,1),(59,1),(107,1),(257,1),(261,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(177,1),(253,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(48,1),(61,1),(62,1),(307,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(61,1),(63,1),(101,1)}
        43:{3,4,6}:{(27,1),(28,1),(63,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(111,1),(117,1),(165,1),(176,1),(307,1),(310,1),(361,1),(368,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(66,1),(76,1),(124,1),(132,1),(226,1),(228,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(124,1),(300,1),(303,1)}
        48:{1,4,6,7}:{(31,1),(32,1),(41,1),(66,1),(70,1),(282,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(67,1),(70,1),(72,1),(135,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(36,1),(43,1),(68,1),(72,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(73,1),(74,1),(81,1),(132,1),(138,1)}
        52:{1,2,4,5,7}:{(34,1),(35,1),(70,1),(75,1),(132,1),(138,1),(207,1),(208,1),(227,1),(271,1),(280,1),(282,1),(288,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(75,1),(76,1),(298,1),(334,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(38,1),(75,1),(77,1),(78,1),(230,1),(274,1),(293,1)}
        55:{2,3,6}:{(36,1),(37,1),(73,1),(79,1)}
        56:{1,3,5,7}:{(37,1),(40,1),(74,1),(79,1),(80,1),(82,1)}
        57:{1,3,4,5}:{(38,1),(77,1),(81,1),(287,1),(303,1),(339,1)}
        58:{2,3,5}:{(38,1),(39,1),(81,1),(82,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(82,1),(83,1),(142,1),(219,1),(224,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(86,1),(132,1)}
        62:{3,4,6,7}:{(41,1),(43,1),(86,1),(334,1),(336,1)}
        63:{3,5,6}:{(42,1),(43,1),(86,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(89,1),(90,1),(202,1),(275,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(146,1),(152,1),(214,1),(282,1),(287,1),(300,1),(303,1),(382,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(48,1),(92,1),(93,1),(265,1)}
        67:{2,4,5,6}:{(46,1),(49,1),(92,1),(94,1),(101,1)}
        68:{3,4,6}:{(46,1),(47,1),(94,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(111,1),(122,1),(160,1),(176,1),(265,1),(268,1),(332,1),(368,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(98,1),(169,1)}
        71:{1,3,4,6,7}:{(48,1),(50,1),(53,1),(62,1),(93,1),(98,1),(99,1),(104,1)}
        72:{1,3,5,6}:{(49,1),(50,1),(63,1),(94,1),(98,1),(101,1)}
        73:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(56,1),(102,1),(112,1),(169,1),(177,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(104,1),(105,1),(264,1),(306,1),(322,1)}
        76:{2,3,6,7}:{(53,1),(55,1),(99,1),(105,1),(106,1),(311,1)}
        77:{1,3,4,6}:{(54,1),(57,1),(104,1),(107,1),(250,1),(267,1),(309,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(101,1),(105,1),(107,1),(108,1),(248,1),(257,1)}
        79:{1,3,6}:{(55,1),(56,1),(102,1),(109,1)}
        80:{1,2,5,7}:{(56,1),(60,1),(109,1),(113,1)}
        81:{2,4,5}:{(57,1),(58,1),(107,1),(112,1)}
        82:{1,3,5}:{(58,1),(59,1),(112,1),(113,1)}
        83:{1,2,4,6}:{(59,1),(60,1),(109,1),(113,1),(114,1),(186,1)}
        84:{1,2,3,7}:{(60,1),(114,1),(253,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,5,7}:{(61,1),(62,1),(63,1)}
        87:{2,3,4,6,7}:{(62,1),(64,1),(99,1),(117,1),(118,1),(176,1),(187,1),(237,1),(241,1),(307,1),(359,1),(364,1)}
        88:{3,4,5,6}:{(63,1),(116,1),(119,1),(309,1),(386,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(101,1),(117,1),(119,1),(120,1),(386,1),(388,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(120,1),(121,1),(174,1),(250,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(184,1),(190,1),(252,1),(265,1),(268,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(132,1)}
        93:{3,4,6,7}:{(66,1),(68,1),(124,1),(298,1),(300,1)}
        94:{3,5,6}:{(67,1),(68,1),(124,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(127,1),(128,1),(156,1),(231,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(146,1),(198,1),(214,1),(282,1),(287,1),(336,1),(339,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,5,7}:{(70,1),(71,1),(72,1),(86,1),(124,1),(132,1)}
        99:{2,4,6,7}:{(71,1),(73,1),(76,1),(132,1),(133,1),(138,1)}
       100:{1,3,4,5,6}:{(72,1),(77,1),(88,1),(126,1),(131,1),(134,1),(154,1),(200,1),(210,1),(230,1),(274,1),(286,1),(381,1)}
       101:{2,5,6}:{(72,1),(73,1),(132,1),(135,1)}
       102:{1,4,6}:{(73,1),(74,1),(79,1),(135,1)}
       103:{1,2,4,5,7}:{(74,1),(80,1),(91,1),(129,1),(136,1),(137,1),(145,1),(147,1),(208,1),(215,1),(221,1),(222,1),(282,1),(287,1),(288,1),(382,1),(384,1)}
       104:{1,3,4,7}:{(75,1),(77,1),(138,1),(282,1),(300,1),(336,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(78,1),(132,1),(138,1),(139,1),(280,1),(289,1)}
       106:{1,3,6,7}:{(76,1),(79,1),(133,1),(139,1),(140,1)}
       107:{2,4,6}:{(77,1),(78,1),(81,1),(138,1),(142,1)}
       108:{1,3,5,6}:{(78,1),(79,1),(82,1),(135,1),(139,1),(142,1),(143,1),(219,1)}
       109:{1,2,6}:{(79,1),(80,1)}
       110:{1,2,3,5,7}:{(80,1),(84,1),(137,1),(144,1),(145,1),(148,1),(221,1),(296,1),(350,1),(384,1)}
       111:{2,3,4,5}:{(81,1),(141,1),(146,1),(223,1),(303,1),(339,1),(349,1)}
       112:{1,4,5}:{(81,1),(82,1),(142,1)}
       113:{1,2,5}:{(82,1),(83,1)}
       114:{1,2,3,6}:{(83,1),(84,1),(148,1),(219,1)}
       115:{3,5,6,7}:{(85,1),(86,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(88,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(89,1),(132,1),(151,1),(152,1),(376,1),(380,1)}
       118:{1,3,4,6,7}:{(87,1),(90,1),(133,1),(152,1),(153,1),(209,1),(214,1),(225,1),(277,1),(282,1),(298,1),(300,1),(379,1)}
       119:{2,4,5,6}:{(88,1),(89,1),(151,1),(154,1),(275,1)}
       120:{1,3,5,6}:{(89,1),(90,1),(135,1),(152,1),(154,1),(155,1),(230,1),(391,1)}
       121:{2,4,6}:{(90,1),(91,1),(155,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(223,1),(232,1),(289,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,5,7}:{(92,1),(93,1),(94,1)}
       125:{2,3,4,6,7}:{(93,1),(95,1),(99,1),(160,1),(161,1),(176,1),(191,1),(233,1),(241,1),(265,1),(330,1),(364,1)}
       126:{3,4,5,6}:{(94,1),(159,1),(162,1),(267,1),(375,1)}
       127:{2,3,5,6}:{(94,1),(95,1),(101,1),(160,1),(162,1),(163,1),(375,1),(388,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(163,1),(164,1),(174,1),(250,1),(309,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(184,1),(236,1),(252,1),(307,1),(310,1)}
       130:{1,3,5,6,7}:{(97,1),(98,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(100,1),(104,1),(116,1),(159,1),(166,1),(168,1),(189,1),(235,1),(244,1),(264,1),(306,1),(316,1),(365,1)}
       132:{2,5,7}:{(98,1),(99,1),(101,1),(169,1)}
       133:{1,4,6,7}:{(99,1),(102,1),(106,1),(169,1),(177,1)}
       134:{2,4,5,6}:{(100,1),(101,1),(107,1),(168,1),(171,1),(172,1),(248,1),(320,1),(388,1)}
       135:{1,5,6}:{(101,1),(102,1),(169,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(109,1),(121,1),(164,1),(173,1),(174,1),(250,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(185,1),(251,1),(253,1),(260,1),(322,1)}
       138:{2,4,7}:{(104,1),(105,1),(107,1),(177,1)}
       139:{1,3,5,7}:{(105,1),(106,1),(108,1),(169,1),(177,1),(178,1),(253,1)}
       140:{1,2,6,7}:{(106,1),(109,1),(178,1),(311,1)}
       141:{2,3,4,6}:{(107,1),(111,1),(171,1),(176,1),(180,1),(257,1),(267,1),(309,1),(320,1)}
       142:{1,4,6}:{(107,1),(108,1),(112,1),(177,1)}
       143:{1,2,5,6}:{(108,1),(109,1),(113,1),(178,1),(181,1),(248,1)}
       144:{1,2,3,6}:{(109,1),(110,1),(174,1),(183,1),(390,1)}
       145:{1,2,4,7}:{(110,1),(175,1),(183,1),(186,1),(329,1)}
       146:{1,3,4,5}:{(111,1),(112,1),(180,1),(184,1),(185,1),(260,1),(370,1)}
       147:{1,2,4,5}:{(112,1),(113,1),(181,1),(184,1),(185,1),(186,1)}
       148:{1,2,3,5}:{(113,1),(114,1),(185,1),(186,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(117,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(119,1),(187,1),(189,1),(307,1)}
       152:{1,3,5,7}:{(117,1),(118,1),(120,1),(169,1),(189,1),(190,1),(264,1),(387,1)}
       153:{2,4,6,7}:{(118,1),(121,1),(190,1),(191,1),(252,1),(265,1),(311,1)}
       154:{1,4,5,6}:{(119,1),(120,1),(189,1),(192,1),(250,1)}
       155:{2,5,6}:{(120,1),(121,1),(190,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(261,1),(265,1)}
       158:{3,5,6,7}:{(123,1),(124,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(126,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,3,5,7}:{(124,1),(125,1),(127,1),(132,1),(197,1),(198,1),(356,1),(380,1)}
       161:{1,3,4,6,7}:{(125,1),(128,1),(133,1),(198,1),(199,1),(209,1),(214,1),(269,1),(277,1),(282,1),(334,1),(336,1),(379,1)}
       162:{2,4,5,6}:{(126,1),(127,1),(197,1),(200,1),(231,1)}
       163:{1,3,5,6}:{(127,1),(128,1),(135,1),(198,1),(200,1),(201,1),(274,1),(391,1)}
       164:{2,4,6}:{(128,1),(129,1),(201,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(223,1),(276,1),(289,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(132,1),(204,1),(205,1),(380,1)}
       168:{2,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(204,1),(206,1),(207,1),(280,1),(345,1),(380,1)}
       169:{1,5,7}:{(132,1),(133,1),(135,1)}
       170:{1,2,4,6,7}:{(133,1),(136,1),(140,1),(153,1),(199,1),(208,1),(209,1),(215,1),(282,1),(288,1),(340,1),(379,1)}
       171:{2,3,5,6}:{(134,1),(141,1),(206,1),(210,1),(230,1),(274,1)}
       172:{1,4,5,6}:{(134,1),(135,1),(142,1),(207,1),(210,1),(348,1),(391,1)}
       173:{1,2,5,6}:{(135,1),(136,1),(155,1),(201,1),(208,1),(212,1),(221,1),(391,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(145,1),(157,1),(203,1),(213,1),(224,1),(282,1),(297,1)}
       176:{2,3,4,7}:{(138,1),(141,1),(206,1),(214,1),(289,1),(300,1),(336,1),(345,1)}
       177:{1,4,7}:{(138,1),(139,1),(142,1)}
       178:{1,2,5,7}:{(139,1),(140,1),(143,1),(215,1),(280,1)}
       179:{1,2,3,6,7}:{(140,1),(144,1),(209,1),(216,1),(217,1),(341,1),(350,1),(353,1)}
       180:{1,3,4,6}:{(141,1),(142,1),(146,1),(210,1),(214,1),(218,1),(219,1),(293,1),(348,1)}
       181:{1,2,4,6}:{(142,1),(143,1),(147,1),(215,1),(218,1),(219,1)}
       182:{1,2,3,5,6}:{(143,1),(144,1),(148,1),(212,1),(216,1),(219,1),(220,1),(221,1),(285,1),(292,1),(295,1),(353,1)}
       183:{1,2,4,6}:{(144,1),(145,1),(213,1),(221,1)}
       184:{2,4,5}:{(146,1),(218,1),(223,1)}
       185:{1,3,5}:{(147,1),(219,1),(223,1),(224,1)}
       186:{1,2,4}:{(148,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(152,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(225,1),(227,1),(282,1)}
       190:{2,5,7}:{(152,1),(153,1),(155,1)}
       191:{2,3,6,7}:{(153,1),(156,1),(209,1),(228,1),(289,1),(298,1)}
       192:{2,4,5,6}:{(154,1),(155,1),(227,1),(230,1),(231,1)}
       193:{2,3,5,6}:{(155,1),(156,1),(212,1),(228,1),(230,1),(231,1),(232,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(231,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(160,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(233,1),(235,1),(265,1)}
       198:{1,3,5,7}:{(160,1),(161,1),(163,1),(169,1),(235,1),(236,1),(306,1),(387,1)}
       199:{2,4,6,7}:{(161,1),(164,1),(236,1),(237,1),(252,1),(307,1),(311,1)}
       200:{1,4,5,6}:{(162,1),(163,1),(235,1),(238,1),(250,1)}
       201:{2,5,6}:{(163,1),(164,1),(236,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(261,1),(307,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(168,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(169,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(171,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,4,5,7}:{(168,1),(169,1),(172,1),(177,1),(242,1),(244,1),(367,1),(387,1)}
       208:{1,2,5,7}:{(169,1),(170,1),(173,1),(190,1),(236,1),(246,1),(387,1)}
       209:{1,3,6,7}:{(170,1),(174,1),(191,1),(237,1),(246,1),(253,1),(322,1)}
       210:{1,3,5,6}:{(171,1),(172,1),(180,1),(244,1),(248,1)}
       211:{1,2,4,5,6}:{(172,1),(173,1),(181,1),(192,1),(238,1),(245,1),(248,1),(249,1),(250,1),(259,1),(320,1),(325,1),(366,1),(388,1)}
       212:{1,3,5,6}:{(173,1),(174,1),(193,1),(239,1),(246,1),(250,1),(251,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(183,1),(194,1),(240,1),(250,1),(251,1)}
       214:{1,3,4,7}:{(176,1),(177,1),(180,1),(244,1),(252,1),(253,1),(322,1),(367,1)}
       215:{1,2,4,7}:{(177,1),(178,1),(181,1),(252,1),(253,1)}
       216:{1,2,3,5,7}:{(178,1),(179,1),(182,1),(246,1),(253,1),(254,1),(255,1),(315,1),(324,1)}
       217:{1,2,4,6,7}:{(179,1),(183,1),(247,1),(254,1),(255,1),(325,1),(364,1),(371,1),(390,1)}
       218:{2,4,6}:{(180,1),(184,1),(248,1),(252,1),(257,1)}
       219:{1,3,6}:{(181,1),(185,1),(253,1),(257,1)}
       220:{1,2,4,6}:{(182,1),(186,1),(250,1),(254,1),(258,1),(259,1),(320,1)}
       221:{1,2,5}:{(183,1),(251,1)}
       222:{1,2,4,5}:{(184,1),(256,1),(260,1),(329,1),(370,1),(374,1)}
       223:{2,3,5}:{(184,1),(185,1),(257,1),(260,1),(261,1)}
       224:{1,3,4}:{(185,1),(186,1),(261,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(190,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(192,1),(262,1),(264,1),(265,1)}
       228:{2,3,5,7}:{(190,1),(191,1),(193,1),(246,1),(264,1),(265,1)}
       229:{2,3,4,6,7}:{(191,1),(194,1),(247,1),(265,1),(266,1),(323,1),(330,1),(333,1),(364,1),(373,1)}
       230:{3,5,6}:{(192,1),(264,1),(267,1)}
       231:{2,4,6}:{(193,1),(250,1),(265,1),(267,1),(268,1)}
       232:{2,3,5}:{(194,1),(251,1),(268,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(198,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(269,1),(271,1),(282,1)}
       236:{2,5,7}:{(198,1),(199,1),(201,1)}
       237:{2,3,6,7}:{(199,1),(202,1),(209,1),(272,1),(289,1),(334,1)}
       238:{2,4,5,6}:{(200,1),(201,1),(271,1),(274,1),(275,1)}
       239:{2,3,5,6}:{(201,1),(202,1),(212,1),(272,1),(274,1),(275,1),(276,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(275,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(207,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(208,1),(226,1),(270,1),(278,1),(279,1),(292,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(210,1),(214,1),(277,1),(280,1)}
       245:{1,2,4,5,7}:{(207,1),(208,1),(211,1),(215,1),(227,1),(271,1),(278,1),(280,1),(281,1),(282,1),(343,1),(345,1),(380,1)}
       246:{1,3,5,7}:{(208,1),(209,1),(212,1),(228,1),(272,1),(282,1)}
       247:{1,3,4,6,7}:{(209,1),(213,1),(217,1),(229,1),(273,1),(282,1),(283,1),(290,1),(347,1),(351,1),(353,1),(379,1),(385,1)}
       248:{2,5,6}:{(210,1),(218,1),(280,1)}
       249:{1,3,5,6}:{(211,1),(219,1),(230,1),(274,1),(281,1),(285,1),(286,1),(295,1),(353,1)}
       250:{1,4,6}:{(212,1),(231,1),(275,1),(282,1),(287,1)}
       251:{1,3,5}:{(213,1),(221,1),(232,1),(276,1),(287,1)}
       252:{2,4,7}:{(214,1),(218,1),(280,1),(289,1)}
       253:{1,3,7}:{(215,1),(219,1),(289,1)}
       254:{1,2,4,7}:{(216,1),(220,1),(282,1),(290,1),(345,1)}
       255:{1,2,5,7}:{(217,1),(221,1),(283,1),(292,1),(380,1)}
       256:{1,2,4,6}:{(218,1),(222,1),(284,1),(288,1),(293,1),(348,1)}
       257:{2,3,6}:{(218,1),(219,1),(223,1),(289,1),(293,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(224,1),(290,1),(294,1),(295,1),(353,1)}
       259:{1,2,4,5}:{(220,1),(221,1),(287,1),(295,1),(349,1)}
       260:{1,3,5}:{(222,1),(223,1),(293,1),(297,1)}
       261:{2,3,4}:{(223,1),(224,1),(297,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(228,1),(279,1),(298,1),(299,1),(302,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(230,1),(298,1),(300,1)}
       265:{2,4,7}:{(228,1),(231,1),(282,1),(300,1)}
       266:{2,3,5,7}:{(229,1),(232,1),(283,1),(301,1),(302,1),(356,1),(380,1)}
       267:{3,4,6}:{(230,1),(231,1),(300,1),(303,1)}
       268:{2,4,5}:{(231,1),(232,1),(287,1),(303,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(236,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(238,1),(304,1),(306,1),(307,1)}
       272:{2,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(306,1),(307,1)}
       273:{2,3,4,6,7}:{(237,1),(240,1),(247,1),(307,1),(308,1),(323,1),(359,1),(362,1),(364,1),(373,1)}
       274:{3,5,6}:{(238,1),(306,1),(309,1)}
       275:{2,4,6}:{(239,1),(250,1),(307,1),(309,1),(310,1)}
       276:{2,3,5}:{(240,1),(251,1),(310,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(245,1),(262,1),(304,1),(311,1),(312,1),(313,1),(325,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(246,1),(263,1),(305,1),(312,1),(313,1),(318,1),(363,1),(365,1),(387,1)}
       280:{2,5,7}:{(244,1),(248,1),(252,1),(311,1)}
       281:{1,3,5,7}:{(245,1),(249,1),(253,1),(264,1),(306,1),(312,1),(315,1),(316,1)}
       282:{1,4,7}:{(246,1),(250,1),(265,1),(307,1)}
       283:{1,3,5,7}:{(247,1),(251,1),(255,1),(266,1),(308,1),(317,1),(318,1),(387,1)}
       284:{1,2,5,6}:{(248,1),(256,1),(314,1),(319,1),(374,1),(390,1)}
       285:{2,3,5,6}:{(248,1),(249,1),(257,1),(315,1),(319,1),(320,1),(328,1),(373,1),(388,1)}
       286:{1,3,4,6}:{(249,1),(250,1),(267,1),(309,1),(316,1),(320,1),(321,1)}
       287:{1,4,5}:{(250,1),(251,1),(268,1),(310,1)}
       288:{1,2,4,7}:{(252,1),(256,1),(314,1),(322,1),(367,1)}
       289:{2,3,7}:{(252,1),(253,1),(257,1),(322,1)}
       290:{1,3,4,7}:{(253,1),(254,1),(258,1),(323,1),(324,1)}
       291:{1,2,4,5,7}:{(254,1),(255,1),(259,1),(317,1),(324,1),(325,1),(368,1)}
       292:{1,2,5,6}:{(255,1),(318,1),(325,1),(388,1),(390,1)}
       293:{1,3,6}:{(256,1),(257,1),(260,1),(322,1)}
       294:{2,3,4,6}:{(257,1),(258,1),(261,1),(320,1),(323,1),(327,1),(328,1),(373,1)}
       295:{1,3,5}:{(258,1),(259,1),(328,1)}
       296:{1,2,3,5}:{(260,1),(326,1),(329,1),(374,1)}
       297:{1,3,4}:{(260,1),(261,1),(329,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(265,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(267,1)}
       301:{2,4,5,7}:{(265,1),(266,1),(268,1),(317,1),(332,1),(333,1)}
       302:{2,3,5,6}:{(266,1),(318,1),(333,1),(373,1),(375,1),(388,1)}
       303:{3,4,5}:{(267,1),(268,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(272,1),(279,1),(334,1),(335,1),(338,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(274,1),(334,1),(336,1)}
       307:{2,4,7}:{(272,1),(275,1),(282,1),(336,1)}
       308:{2,3,5,7}:{(273,1),(276,1),(283,1),(337,1),(338,1),(376,1),(380,1)}
       309:{3,4,6}:{(274,1),(275,1),(336,1),(339,1)}
       310:{2,4,5}:{(275,1),(276,1),(287,1),(339,1)}
       311:{2,6,7}:{(277,1),(280,1)}
       312:{1,3,6,7}:{(278,1),(281,1),(298,1),(334,1),(341,1),(353,1)}
       313:{1,4,6,7}:{(279,1),(282,1),(299,1),(335,1),(343,1),(347,1)}
       314:{1,2,5,7}:{(280,1),(284,1),(288,1),(340,1),(344,1)}
       315:{2,3,5,7}:{(280,1),(281,1),(285,1),(289,1),(341,1),(344,1),(345,1),(380,1)}
       316:{1,3,4,7}:{(281,1),(282,1),(286,1),(300,1),(336,1),(345,1)}
       317:{1,4,5,7}:{(282,1),(283,1),(287,1),(301,1),(337,1),(347,1)}
       318:{1,3,5,6}:{(283,1),(292,1),(302,1),(338,1),(347,1),(353,1),(385,1),(391,1)}
       319:{1,3,5,6}:{(284,1),(285,1),(293,1),(344,1),(348,1),(355,1),(385,1),(391,1)}
       320:{2,4,6}:{(285,1),(286,1),(345,1),(348,1),(349,1)}
       321:{1,3,4,5}:{(286,1),(287,1),(295,1),(303,1),(339,1),(349,1)}
       322:{1,3,7}:{(288,1),(289,1),(293,1)}
       323:{2,3,4,7}:{(289,1),(290,1),(294,1),(345,1),(351,1),(352,1)}
       324:{1,3,5,7}:{(290,1),(291,1),(295,1),(352,1),(353,1)}
       325:{1,2,4,6}:{(291,1),(292,1),(347,1),(353,1),(383,1)}
       326:{1,2,3,6}:{(293,1),(296,1),(350,1),(354,1)}
       327:{1,3,4,6}:{(293,1),(294,1),(297,1),(348,1),(351,1),(354,1),(355,1),(385,1)}
       328:{2,3,5}:{(294,1),(295,1),(349,1),(355,1)}
       329:{1,2,4}:{(296,1),(297,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(303,1),(356,1),(358,1)}
       333:{2,4,6}:{(301,1),(302,1),(347,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(307,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(309,1)}
       337:{2,4,5,7}:{(307,1),(308,1),(310,1),(317,1),(361,1),(362,1)}
       338:{2,3,5,6}:{(308,1),(318,1),(362,1),(373,1),(386,1),(388,1)}
       339:{3,4,5}:{(309,1),(310,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(315,1),(363,1),(364,1),(373,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(316,1),(330,1),(359,1),(364,1),(365,1),(369,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(319,1),(322,1),(363,1),(367,1),(387,1)}
       345:{2,4,7}:{(315,1),(316,1),(320,1),(367,1)}
       346:{1,3,4,5,7}:{(316,1),(317,1),(321,1),(324,1),(332,1),(361,1),(365,1),(368,1),(369,1)}
       347:{1,4,6}:{(317,1),(318,1),(333,1),(362,1)}
       348:{1,4,6}:{(319,1),(320,1),(367,1),(370,1)}
       349:{2,4,5}:{(320,1),(321,1),(328,1),(370,1)}
       350:{1,2,3,7}:{(322,1),(326,1),(371,1)}
       351:{1,3,4,7}:{(322,1),(323,1),(327,1),(367,1),(371,1),(372,1)}
       352:{2,3,5,7}:{(323,1),(324,1),(328,1),(368,1),(372,1),(373,1)}
       353:{1,3,6}:{(324,1),(325,1),(373,1)}
       354:{1,2,4,6}:{(326,1),(327,1),(329,1),(371,1),(374,1),(390,1)}
       355:{1,3,5}:{(327,1),(328,1),(370,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(339,1),(376,1),(378,1)}
       362:{2,4,6}:{(337,1),(338,1),(347,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(345,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(347,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(348,1)}
       368:{2,4,5,7}:{(345,1),(346,1),(349,1),(352,1),(380,1),(382,1),(383,1)}
       369:{1,3,4,6}:{(346,1),(347,1),(353,1),(358,1),(378,1),(381,1),(383,1)}
       370:{1,4,5}:{(348,1),(349,1),(355,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(354,1),(384,1)}
       372:{1,3,5,7}:{(351,1),(352,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(352,1),(353,1),(383,1),(385,1)}
       374:{1,2,5}:{(354,1),(355,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(369,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(370,1),(372,1),(387,1),(389,1)}
       383:{2,4,6}:{(368,1),(369,1),(373,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(374,1),(390,1)}
       385:{1,3,6}:{(372,1),(373,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1736 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(8,1),(27,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(70,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(67,1),(110,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(33,1),(34,1),(69,1)}
         5:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1),(13,1),(14,1),(41,1),(42,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(12,1),(16,1),(126,1)}
         8:{1,2,5}:{(3,1),(13,1)}
         9:{2,3,4,7}:{(4,1),(12,1),(19,1),(54,1),(92,1)}
        10:{2,3,5}:{(4,1),(13,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(58,1),(59,1),(69,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(9,1),(21,1),(24,1),(65,1),(70,1),(111,1)}
        13:{1,3,5}:{(5,1),(8,1),(10,1),(22,1),(23,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(24,1),(29,1)}
        17:{1,2,5,6}:{(8,1),(25,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        18:{2,4,5}:{(10,1),(23,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(24,1),(32,1),(34,1)}
        20:{2,3,5,6}:{(10,1),(25,1),(33,1),(34,1),(35,1),(69,1),(71,1),(75,1),(104,1)}
        21:{2,3,4,7}:{(11,1),(12,1),(37,1),(81,1),(92,1)}
        22:{2,3,5}:{(11,1),(13,1),(36,1)}
        23:{1,4,5}:{(13,1),(18,1),(36,1),(41,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(16,1),(19,1),(37,1),(40,1),(42,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(20,1),(38,1),(41,1),(42,1),(43,1),(47,1),(88,1),(91,1),(121,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(17,1),(41,1),(47,1),(48,1),(86,1)}
        29:{1,2,6}:{(16,1),(42,1)}
        30:{1,2,5,7}:{(17,1),(43,1),(48,1),(49,1),(122,1),(126,1)}
        31:{3,4,5}:{(18,1),(52,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(40,1),(51,1),(53,1),(54,1),(97,1)}
        33:{2,4,6}:{(18,1),(20,1),(41,1),(52,1),(54,1)}
        34:{2,3,6}:{(19,1),(42,1),(53,1)}
        35:{2,3,5,7}:{(20,1),(43,1),(54,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        36:{2,4,5}:{(22,1),(23,1),(56,1),(58,1)}
        37:{2,3,5,7}:{(21,1),(22,1),(24,1),(57,1),(59,1)}
        38:{2,3,5,6}:{(22,1),(25,1),(58,1),(59,1),(60,1),(69,1),(98,1),(102,1),(104,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,5,7}:{(23,1),(24,1),(32,1),(57,1),(64,1),(65,1),(109,1)}
        41:{1,4,6}:{(23,1),(25,1),(33,1),(58,1),(65,1)}
        42:{1,3,6}:{(24,1),(29,1),(34,1),(59,1),(64,1)}
        43:{1,3,5,7}:{(25,1),(30,1),(35,1),(60,1),(65,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(30,1),(65,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(33,1),(61,1),(71,1),(72,1),(75,1),(104,1),(114,1)}
        51:{3,4,5,7}:{(31,1),(32,1),(73,1),(74,1),(115,1)}
        52:{3,4,6}:{(31,1),(33,1),(71,1),(74,1)}
        53:{2,4,6}:{(32,1),(34,1),(64,1),(73,1),(75,1)}
        54:{2,4,7}:{(33,1),(35,1),(65,1),(74,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(76,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(79,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(40,1),(78,1),(80,1),(81,1),(120,1)}
        58:{2,4,6}:{(36,1),(38,1),(41,1),(79,1),(81,1)}
        59:{2,3,6}:{(37,1),(42,1),(80,1)}
        60:{2,3,5,7}:{(38,1),(43,1),(81,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        61:{1,4,5,6}:{(41,1),(50,1),(77,1),(83,1),(84,1),(88,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(41,1),(47,1),(52,1),(79,1),(83,1),(86,1),(87,1)}
        64:{1,4,6}:{(40,1),(42,1),(53,1),(80,1),(88,1)}
        65:{1,4,7}:{(41,1),(43,1),(54,1),(81,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(89,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(52,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(54,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,6}:{(51,1),(53,1),(95,1)}
        74:{3,4,7}:{(52,1),(54,1),(93,1)}
        75:{2,5,6}:{(53,1),(88,1),(95,1),(97,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(55,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(58,1),(61,1),(98,1),(99,1),(102,1),(104,1),(131,1)}
        78:{3,4,5,7}:{(56,1),(57,1),(100,1),(101,1),(132,1)}
        79:{3,4,6}:{(56,1),(58,1),(98,1),(101,1)}
        80:{2,4,6}:{(57,1),(59,1),(64,1),(100,1),(102,1)}
        81:{2,4,7}:{(58,1),(60,1),(65,1),(101,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(103,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(65,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(65,1),(70,1),(74,1),(101,1),(105,1),(108,1)}
        88:{1,5,6}:{(64,1),(75,1),(102,1),(109,1)}
        89:{1,4,6,7}:{(64,1),(65,1),(66,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(74,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,5,6}:{(73,1),(75,1),(114,1),(115,1)}
        96:{3,4,6,7}:{(73,1),(74,1),(76,1),(112,1),(115,1),(135,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(115,1)}
        98:{3,5,6}:{(77,1),(79,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(81,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,6}:{(78,1),(80,1),(118,1)}
       101:{3,4,7}:{(79,1),(81,1),(116,1)}
       102:{2,5,6}:{(80,1),(88,1),(118,1),(120,1)}
       103:{2,4,6,7}:{(80,1),(81,1),(82,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{4,5,6}:{(95,1),(128,1)}
       115:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(101,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,5,6}:{(100,1),(102,1),(131,1),(132,1)}
       119:{3,4,6,7}:{(100,1),(101,1),(103,1),(129,1),(132,1),(139,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(115,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{4,5,6}:{(118,1),(137,1)}
       132:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(132,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1737 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(60,1),(63,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(81,1),(85,1),(123,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(41,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(82,1),(122,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(11,1),(17,1),(18,1),(40,1),(48,1),(84,1)}
         9:{2,3,5,7}:{(3,1),(12,1),(16,1),(17,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(97,1),(106,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(8,1),(19,1),(22,1),(23,1),(24,1),(58,1),(61,1),(63,1),(105,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(9,1),(20,1),(21,1),(22,1),(23,1)}
        13:{1,2,4}:{(5,1),(24,1)}
        14:{1,2,5}:{(6,1),(22,1)}
        15:{1,2,6}:{(7,1),(23,1)}
        16:{2,4,5,7}:{(9,1),(21,1),(28,1),(29,1),(30,1),(68,1),(70,1)}
        17:{2,3,5}:{(8,1),(22,1),(30,1)}
        18:{2,3,6}:{(9,1),(23,1),(29,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(34,1),(35,1),(40,1),(75,1),(84,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(33,1),(34,1),(35,1)}
        21:{1,4,5,7}:{(12,1),(16,1),(33,1),(36,1),(37,1),(78,1),(81,1)}
        22:{1,3,5}:{(11,1),(14,1),(17,1),(34,1),(37,1)}
        23:{1,3,6}:{(12,1),(15,1),(18,1),(35,1),(36,1)}
        24:{1,3,4}:{(13,1),(40,1),(41,1)}
        25:{1,2,4,5}:{(13,1),(14,1),(37,1),(41,1),(42,1),(79,1)}
        26:{1,2,5,6}:{(14,1),(15,1),(38,1),(42,1),(43,1),(118,1),(122,1)}
        27:{1,2,6,7}:{(15,1),(39,1),(43,1),(137,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(47,1),(87,1),(91,1)}
        29:{2,4,6}:{(16,1),(18,1),(36,1),(44,1),(45,1)}
        30:{2,4,5}:{(17,1),(37,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(45,1),(48,1),(49,1),(84,1),(89,1),(118,1)}
        32:{2,3,6,7}:{(18,1),(39,1),(46,1),(49,1),(125,1),(137,1)}
        33:{2,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(52,1),(95,1),(97,1)}
        34:{2,3,5}:{(19,1),(22,1),(52,1)}
        35:{2,3,6}:{(20,1),(23,1),(51,1)}
        36:{1,4,6}:{(21,1),(23,1),(29,1),(51,1),(55,1)}
        37:{1,4,5}:{(22,1),(30,1),(52,1),(58,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(26,1),(31,1),(53,1),(55,1),(58,1),(59,1),(63,1),(105,1),(131,1)}
        39:{1,3,6,7}:{(23,1),(27,1),(32,1),(54,1),(56,1),(59,1),(139,1)}
        40:{2,3,4}:{(24,1),(61,1),(62,1)}
        41:{1,3,5}:{(24,1),(25,1),(62,1),(63,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(58,1),(63,1),(64,1),(102,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(59,1),(64,1),(132,1),(134,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,5,6}:{(29,1),(55,1),(65,1),(68,1)}
        46:{2,4,6,7}:{(29,1),(32,1),(56,1),(66,1),(68,1),(70,1)}
        47:{3,4,5}:{(30,1),(69,1)}
        48:{2,4,6}:{(30,1),(31,1),(58,1),(69,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(59,1),(68,1),(70,1),(106,1),(110,1),(132,1)}
        50:{3,4,5,7}:{(33,1),(71,1),(74,1),(112,1),(116,1)}
        51:{2,4,6}:{(33,1),(35,1),(36,1),(71,1),(72,1)}
        52:{2,4,5}:{(34,1),(37,1),(74,1),(75,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(75,1),(76,1),(84,1),(114,1),(118,1)}
        54:{2,3,6,7}:{(35,1),(39,1),(73,1),(76,1),(136,1),(137,1)}
        55:{1,5,6}:{(36,1),(45,1),(72,1),(78,1)}
        56:{1,4,6,7}:{(36,1),(39,1),(46,1),(73,1),(78,1),(81,1)}
        57:{1,3,4,5}:{(37,1),(41,1),(47,1),(74,1),(79,1),(80,1)}
        58:{1,4,6}:{(37,1),(38,1),(48,1),(75,1),(81,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(43,1),(49,1),(76,1),(78,1),(81,1),(85,1),(123,1),(138,1)}
        60:{1,2,3}:{(82,1)}
        61:{1,3,4}:{(40,1),(82,1),(83,1)}
        62:{2,3,5}:{(40,1),(41,1),(79,1),(83,1),(84,1)}
        63:{1,3,6}:{(41,1),(42,1),(84,1),(85,1)}
        64:{1,2,4,7}:{(42,1),(43,1),(81,1),(85,1),(121,1)}
        65:{3,5,6}:{(44,1),(45,1),(86,1),(87,1)}
        66:{3,4,6,7}:{(44,1),(46,1),(87,1),(91,1),(124,1),(125,1)}
        67:{2,4,5,6}:{(45,1),(48,1),(77,1),(86,1),(89,1),(90,1),(118,1)}
        68:{2,5,7}:{(45,1),(46,1),(78,1),(87,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(91,1)}
        70:{2,4,7}:{(48,1),(49,1),(81,1),(91,1)}
        71:{3,4,6}:{(50,1),(51,1),(92,1)}
        72:{2,5,6}:{(51,1),(55,1),(92,1),(95,1)}
        73:{2,4,6,7}:{(51,1),(54,1),(56,1),(93,1),(95,1),(97,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(53,1),(54,1),(59,1),(95,1),(97,1),(106,1),(129,1),(132,1)}
        77:{1,4,5,6}:{(55,1),(58,1),(67,1),(94,1),(99,1),(100,1),(131,1)}
        78:{1,5,7}:{(55,1),(56,1),(68,1),(95,1)}
        79:{2,4,5}:{(57,1),(62,1),(101,1),(102,1)}
        80:{1,3,4,6}:{(57,1),(58,1),(63,1),(69,1),(96,1),(99,1),(102,1),(103,1)}
        81:{1,4,7}:{(58,1),(59,1),(70,1),(97,1)}
        82:{1,2,4}:{(60,1),(61,1),(104,1)}
        83:{1,3,5}:{(61,1),(62,1),(101,1),(104,1),(105,1)}
        84:{2,3,6}:{(62,1),(63,1),(102,1),(105,1),(106,1)}
        85:{1,3,7}:{(63,1),(64,1),(106,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{3,5,7}:{(65,1),(66,1),(68,1),(108,1)}
        88:{2,5,6,7}:{(68,1),(98,1),(107,1),(109,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{2,4,5,7}:{(67,1),(68,1),(70,1),(100,1),(108,1),(109,1),(110,1),(132,1)}
        91:{3,4,7}:{(69,1),(70,1),(110,1)}
        92:{3,5,6}:{(71,1),(72,1),(111,1),(112,1)}
        93:{3,4,6,7}:{(71,1),(73,1),(112,1),(116,1),(135,1),(136,1)}
        94:{2,4,5,6}:{(72,1),(75,1),(77,1),(111,1),(114,1),(115,1),(118,1)}
        95:{2,5,7}:{(72,1),(73,1),(78,1),(112,1)}
        96:{3,4,6}:{(74,1),(75,1),(114,1),(116,1)}
        97:{2,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        98:{1,5,6,7}:{(78,1),(88,1),(113,1),(117,1)}
        99:{1,3,5,6}:{(77,1),(80,1),(89,1),(114,1),(118,1),(119,1)}
       100:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(115,1),(117,1),(119,1),(138,1)}
       101:{1,4,5}:{(79,1),(83,1),(120,1)}
       102:{2,4,6}:{(79,1),(80,1),(84,1),(118,1),(120,1),(121,1)}
       103:{1,3,4,7}:{(80,1),(81,1),(85,1),(91,1),(116,1),(119,1),(121,1)}
       104:{1,2,5}:{(82,1),(83,1),(122,1)}
       105:{1,3,6}:{(83,1),(84,1),(120,1),(122,1),(123,1)}
       106:{2,3,7}:{(84,1),(85,1),(121,1),(123,1)}
       107:{3,5,6,7}:{(87,1),(88,1),(124,1),(125,1)}
       108:{4,5,7}:{(86,1),(87,1),(124,1)}
       109:{2,4,6,7}:{(88,1),(90,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(89,1),(90,1),(91,1),(125,1)}
       111:{4,5,6}:{(92,1),(127,1)}
       112:{3,5,7}:{(92,1),(93,1),(95,1),(127,1)}
       113:{2,5,6,7}:{(95,1),(98,1),(126,1),(128,1)}
       114:{3,5,6}:{(94,1),(96,1),(129,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(97,1),(100,1),(127,1),(128,1),(129,1),(132,1)}
       116:{3,4,7}:{(96,1),(97,1),(129,1)}
       117:{1,4,6,7}:{(98,1),(100,1),(109,1),(128,1),(130,1),(139,1)}
       118:{2,5,6}:{(99,1),(102,1),(131,1),(132,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(103,1),(110,1),(129,1),(130,1),(132,1)}
       120:{1,4,6}:{(101,1),(102,1),(105,1),(131,1),(133,1)}
       121:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1)}
       122:{1,2,6}:{(104,1),(105,1),(134,1)}
       123:{1,3,7}:{(105,1),(106,1),(133,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(112,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(115,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(119,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(118,1),(120,1),(138,1)}
       132:{2,5,7}:{(118,1),(119,1),(121,1),(137,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(123,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1738 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(26,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(32,1),(64,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(68,1)}
         4:{2,3,4,6}:{(6,1),(9,1),(10,1),(25,1),(34,1),(37,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,3,4,6}:{(2,1),(4,1),(11,1),(13,1),(15,1),(16,1),(41,1),(45,1),(47,1),(50,1),(86,1)}
         7:{1,2,5}:{(2,1),(15,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(87,1)}
         9:{2,3,5}:{(4,1),(15,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(21,1),(55,1),(89,1)}
        11:{2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(59,1),(62,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(28,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(10,1),(23,1),(30,1),(68,1),(70,1),(107,1)}
        17:{1,2,5,6}:{(7,1),(27,1),(29,1),(31,1),(32,1),(64,1),(108,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(30,1),(32,1)}
        19:{2,4,5}:{(9,1),(28,1),(33,1),(34,1)}
        20:{2,3,5,6}:{(9,1),(29,1),(34,1),(36,1),(37,1),(66,1),(73,1),(78,1),(108,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(30,1),(35,1),(37,1)}
        22:{2,3,5}:{(11,1),(15,1),(38,1)}
        23:{2,3,4,7}:{(11,1),(16,1),(40,1),(82,1),(89,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(45,1),(46,1),(47,1),(88,1)}
        28:{1,4,5}:{(15,1),(19,1),(38,1),(47,1)}
        29:{1,3,5,6}:{(15,1),(17,1),(20,1),(39,1),(45,1),(47,1),(49,1),(50,1),(86,1),(94,1),(122,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(18,1),(21,1),(40,1),(48,1),(50,1)}
        31:{1,2,5,7}:{(17,1),(46,1),(49,1),(51,1),(87,1),(124,1)}
        32:{1,2,6}:{(18,1),(50,1)}
        33:{3,4,5}:{(19,1),(52,1)}
        34:{2,4,6}:{(19,1),(20,1),(47,1),(52,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(21,1),(48,1),(53,1),(55,1),(56,1),(99,1)}
        36:{2,3,5,7}:{(20,1),(49,1),(55,1),(57,1),(89,1),(95,1),(99,1),(124,1)}
        37:{2,3,6}:{(21,1),(50,1),(56,1)}
        38:{2,4,5}:{(22,1),(28,1),(58,1),(59,1)}
        39:{2,3,5,6}:{(22,1),(29,1),(59,1),(61,1),(62,1),(66,1),(100,1),(105,1),(108,1)}
        40:{2,3,5,7}:{(22,1),(23,1),(30,1),(60,1),(62,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(28,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(31,1),(68,1),(70,1),(109,1)}
        47:{1,4,6}:{(28,1),(29,1),(34,1),(59,1),(70,1)}
        48:{1,4,5,7}:{(28,1),(30,1),(35,1),(60,1),(70,1),(71,1),(112,1)}
        49:{1,3,5,7}:{(29,1),(31,1),(36,1),(61,1),(68,1),(70,1),(72,1),(107,1),(112,1),(133,1)}
        50:{1,3,6}:{(30,1),(32,1),(37,1),(62,1),(71,1)}
        51:{1,2,6,7}:{(31,1),(32,1),(72,1),(134,1)}
        52:{3,4,6}:{(33,1),(34,1),(73,1),(74,1)}
        53:{3,4,5,7}:{(33,1),(35,1),(74,1),(75,1),(114,1)}
        54:{2,4,5,6}:{(34,1),(69,1),(73,1),(76,1),(78,1),(108,1),(115,1)}
        55:{2,4,7}:{(34,1),(36,1),(70,1),(74,1)}
        56:{2,4,6}:{(35,1),(37,1),(71,1),(75,1),(78,1)}
        57:{2,3,6,7}:{(36,1),(37,1),(72,1),(77,1),(113,1),(134,1)}
        58:{3,4,5}:{(38,1),(79,1)}
        59:{2,4,6}:{(38,1),(39,1),(47,1),(79,1),(82,1)}
        60:{2,4,5,7}:{(38,1),(40,1),(48,1),(80,1),(82,1),(83,1),(121,1)}
        61:{2,3,5,7}:{(39,1),(49,1),(82,1),(84,1),(89,1),(117,1),(121,1),(124,1)}
        62:{2,3,6}:{(40,1),(50,1),(83,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(47,1),(52,1),(79,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,5,6}:{(47,1),(54,1),(81,1),(90,1),(92,1),(94,1),(122,1)}
        70:{1,4,7}:{(47,1),(49,1),(55,1),(82,1)}
        71:{1,4,6}:{(48,1),(50,1),(56,1),(83,1),(94,1)}
        72:{1,3,6,7}:{(49,1),(50,1),(51,1),(57,1),(84,1),(93,1),(138,1)}
        73:{3,5,6}:{(52,1),(54,1),(95,1)}
        74:{3,4,7}:{(52,1),(55,1),(95,1)}
        75:{3,4,6}:{(53,1),(56,1),(97,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(92,1),(95,1),(98,1),(99,1),(124,1),(128,1)}
        77:{2,4,6,7}:{(55,1),(56,1),(57,1),(93,1),(96,1),(99,1)}
        78:{2,5,6}:{(56,1),(94,1),(97,1),(99,1)}
        79:{3,4,6}:{(58,1),(59,1),(100,1),(101,1)}
        80:{3,4,5,7}:{(58,1),(60,1),(101,1),(102,1),(130,1)}
        81:{2,4,5,6}:{(59,1),(69,1),(100,1),(103,1),(105,1),(108,1),(131,1)}
        82:{2,4,7}:{(59,1),(61,1),(70,1),(101,1)}
        83:{2,4,6}:{(60,1),(62,1),(71,1),(102,1),(105,1)}
        84:{2,3,6,7}:{(61,1),(62,1),(72,1),(104,1),(129,1),(134,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(69,1),(73,1),(100,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(70,1),(74,1),(101,1),(109,1),(110,1)}
        92:{1,4,5,7}:{(69,1),(70,1),(76,1),(103,1),(110,1),(111,1),(112,1),(133,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(104,1),(112,1)}
        94:{1,5,6}:{(71,1),(78,1),(105,1),(112,1)}
        95:{3,5,7}:{(73,1),(74,1),(76,1),(113,1)}
        96:{3,4,6,7}:{(74,1),(75,1),(77,1),(113,1),(114,1),(135,1)}
        97:{3,5,6}:{(75,1),(78,1),(114,1),(115,1)}
        98:{2,4,6,7}:{(76,1),(111,1),(113,1),(116,1),(134,1),(135,1)}
        99:{2,5,7}:{(77,1),(78,1),(112,1),(114,1)}
       100:{3,5,6}:{(79,1),(81,1),(117,1)}
       101:{3,4,7}:{(79,1),(82,1),(117,1)}
       102:{3,4,6}:{(80,1),(83,1),(119,1)}
       103:{2,4,5,7}:{(81,1),(82,1),(92,1),(117,1),(120,1),(121,1),(124,1),(137,1)}
       104:{2,4,6,7}:{(82,1),(83,1),(84,1),(93,1),(118,1),(121,1)}
       105:{2,5,6}:{(83,1),(94,1),(119,1),(121,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(92,1),(95,1),(117,1),(124,1),(125,1)}
       111:{1,4,6,7}:{(92,1),(98,1),(120,1),(125,1),(126,1),(138,1)}
       112:{1,5,7}:{(93,1),(94,1),(99,1),(121,1)}
       113:{3,6,7}:{(95,1),(98,1)}
       114:{3,5,7}:{(96,1),(97,1),(99,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(127,1)}
       117:{3,5,7}:{(100,1),(101,1),(103,1),(129,1)}
       118:{3,4,6,7}:{(101,1),(102,1),(104,1),(129,1),(130,1),(139,1)}
       119:{3,5,6}:{(102,1),(105,1),(130,1),(131,1)}
       120:{2,4,6,7}:{(103,1),(111,1),(129,1),(132,1),(134,1),(139,1)}
       121:{2,5,7}:{(104,1),(105,1),(112,1),(130,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(111,1),(113,1),(129,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{3,5,6,7}:{(113,1),(114,1),(116,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(117,1),(120,1)}
       130:{3,5,7}:{(118,1),(119,1),(121,1),(137,1)}
       131:{4,5,6}:{(119,1),(137,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(136,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(132,1),(139,1)}
       137:{4,5,7}:{(130,1),(131,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1739 :   0:{1,2,3,7}:{(1,1),(2,1),(81,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(61,1),(106,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(68,1),(103,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(10,1),(11,1),(12,1),(78,1),(81,1),(122,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(13,1),(14,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(15,1),(84,1),(123,1)}
         7:{1,2,3,5}:{(2,1),(14,1),(15,1),(42,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(16,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(12,1),(17,1),(18,1),(43,1),(48,1),(82,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(95,1),(103,1)}
        11:{1,3,5,7}:{(4,1),(5,1),(8,1),(19,1),(21,1),(22,1),(23,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(9,1),(20,1),(22,1),(23,1),(27,1),(58,1),(61,1),(63,1),(104,1)}
        13:{1,2,6}:{(5,1),(22,1)}
        14:{1,2,5}:{(6,1),(23,1)}
        15:{1,2,4}:{(7,1),(27,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(28,1),(29,1),(32,1),(66,1),(68,1)}
        17:{2,3,6}:{(8,1),(22,1),(29,1)}
        18:{2,3,5}:{(9,1),(23,1),(32,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(33,1),(34,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(34,1),(35,1),(43,1),(74,1),(82,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(33,1),(36,1),(39,1),(76,1),(78,1)}
        22:{1,3,6}:{(11,1),(13,1),(17,1),(34,1),(36,1)}
        23:{1,3,5}:{(12,1),(14,1),(18,1),(35,1),(39,1)}
        24:{1,2,6,7}:{(13,1),(37,1),(40,1),(137,1)}
        25:{1,2,5,6}:{(13,1),(14,1),(38,1),(40,1),(41,1),(119,1),(123,1)}
        26:{1,2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1),(80,1)}
        27:{1,3,4}:{(15,1),(42,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(49,1),(85,1),(90,1)}
        29:{2,4,6}:{(16,1),(17,1),(36,1),(44,1),(46,1)}
        30:{2,3,6,7}:{(17,1),(37,1),(45,1),(47,1),(125,1),(137,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(46,1),(47,1),(48,1),(82,1),(89,1),(119,1)}
        32:{2,4,5}:{(18,1),(39,1),(48,1),(49,1)}
        33:{2,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(54,1),(93,1),(95,1)}
        34:{2,3,6}:{(19,1),(22,1),(51,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1)}
        36:{1,4,6}:{(21,1),(22,1),(29,1),(51,1),(56,1)}
        37:{1,3,6,7}:{(22,1),(24,1),(30,1),(52,1),(55,1),(57,1),(139,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(25,1),(31,1),(53,1),(56,1),(57,1),(58,1),(61,1),(104,1),(132,1)}
        39:{1,4,5}:{(23,1),(32,1),(54,1),(58,1)}
        40:{1,2,5,7}:{(24,1),(25,1),(57,1),(60,1),(131,1),(134,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(58,1),(60,1),(61,1),(101,1)}
        42:{1,3,5}:{(26,1),(27,1),(61,1),(62,1)}
        43:{2,3,4}:{(27,1),(62,1),(63,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,4,6,7}:{(29,1),(30,1),(55,1),(64,1),(66,1),(68,1)}
        46:{2,5,6}:{(29,1),(56,1),(65,1),(66,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(57,1),(66,1),(68,1),(103,1),(110,1),(131,1)}
        48:{2,4,6}:{(31,1),(32,1),(58,1),(68,1),(69,1)}
        49:{3,4,5}:{(32,1),(69,1)}
        50:{3,4,5,7}:{(33,1),(70,1),(75,1),(111,1),(116,1)}
        51:{2,4,6}:{(33,1),(34,1),(36,1),(70,1),(72,1)}
        52:{2,3,6,7}:{(34,1),(37,1),(71,1),(73,1),(136,1),(137,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(73,1),(74,1),(82,1),(115,1),(119,1)}
        54:{2,4,5}:{(35,1),(39,1),(74,1),(75,1)}
        55:{1,4,6,7}:{(36,1),(37,1),(45,1),(71,1),(76,1),(78,1)}
        56:{1,5,6}:{(36,1),(46,1),(72,1),(76,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(40,1),(47,1),(73,1),(76,1),(78,1),(81,1),(122,1),(138,1)}
        58:{1,4,6}:{(38,1),(39,1),(48,1),(74,1),(78,1)}
        59:{1,3,4,5}:{(39,1),(42,1),(49,1),(75,1),(79,1),(80,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(78,1),(81,1),(120,1)}
        61:{1,3,6}:{(41,1),(42,1),(81,1),(82,1)}
        62:{2,3,5}:{(42,1),(43,1),(80,1),(82,1),(83,1)}
        63:{1,3,4}:{(43,1),(83,1),(84,1)}
        64:{3,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(124,1),(125,1)}
        65:{3,5,6}:{(44,1),(46,1),(85,1),(86,1)}
        66:{2,5,7}:{(45,1),(46,1),(76,1),(85,1)}
        67:{2,4,5,6}:{(46,1),(48,1),(77,1),(86,1),(88,1),(89,1),(119,1)}
        68:{2,4,7}:{(47,1),(48,1),(78,1),(90,1)}
        69:{3,4,6}:{(48,1),(49,1),(89,1),(90,1)}
        70:{3,4,6}:{(50,1),(51,1),(92,1)}
        71:{2,4,6,7}:{(51,1),(52,1),(55,1),(91,1),(93,1),(95,1)}
        72:{2,5,6}:{(51,1),(56,1),(92,1),(93,1)}
        73:{2,3,5,7}:{(52,1),(53,1),(57,1),(93,1),(95,1),(103,1),(129,1),(131,1)}
        74:{2,4,6}:{(53,1),(54,1),(58,1),(95,1),(96,1)}
        75:{3,4,5}:{(54,1),(96,1)}
        76:{1,5,7}:{(55,1),(56,1),(66,1),(93,1)}
        77:{1,4,5,6}:{(56,1),(58,1),(67,1),(94,1),(98,1),(99,1),(132,1)}
        78:{1,4,7}:{(57,1),(58,1),(68,1),(95,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(61,1),(69,1),(96,1),(99,1),(100,1),(101,1)}
        80:{2,4,5}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,7}:{(60,1),(61,1),(103,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(104,1)}
        83:{1,3,5}:{(62,1),(63,1),(102,1),(104,1),(105,1)}
        84:{1,2,4}:{(63,1),(105,1),(106,1)}
        85:{3,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{2,5,6,7}:{(66,1),(97,1),(107,1),(109,1)}
        88:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1),(108,1),(109,1),(110,1),(131,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{3,4,7}:{(68,1),(69,1),(110,1)}
        91:{3,4,6,7}:{(70,1),(71,1),(111,1),(116,1),(135,1),(136,1)}
        92:{3,5,6}:{(70,1),(72,1),(111,1),(112,1)}
        93:{2,5,7}:{(71,1),(72,1),(76,1),(111,1)}
        94:{2,4,5,6}:{(72,1),(74,1),(77,1),(112,1),(114,1),(115,1),(119,1)}
        95:{2,4,7}:{(73,1),(74,1),(78,1),(116,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{1,5,6,7}:{(76,1),(87,1),(113,1),(117,1)}
        98:{1,4,5,7}:{(76,1),(77,1),(78,1),(88,1),(114,1),(117,1),(118,1),(138,1)}
        99:{1,3,5,6}:{(77,1),(79,1),(89,1),(115,1),(118,1),(119,1)}
       100:{1,3,4,7}:{(78,1),(79,1),(81,1),(90,1),(116,1),(118,1),(120,1)}
       101:{2,4,6}:{(79,1),(80,1),(82,1),(119,1),(120,1),(121,1)}
       102:{1,4,5}:{(80,1),(83,1),(121,1)}
       103:{2,3,7}:{(81,1),(82,1),(120,1),(122,1)}
       104:{1,3,6}:{(82,1),(83,1),(121,1),(122,1),(123,1)}
       105:{1,2,5}:{(83,1),(84,1),(123,1)}
       106:{1,2,3}:{(84,1)}
       107:{3,5,6,7}:{(85,1),(87,1),(124,1),(125,1)}
       108:{4,5,7}:{(85,1),(86,1),(124,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(88,1),(89,1),(90,1),(125,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(127,1)}
       112:{4,5,6}:{(92,1),(127,1)}
       113:{2,5,6,7}:{(93,1),(97,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(127,1),(128,1),(129,1),(131,1)}
       115:{3,5,6}:{(94,1),(96,1),(129,1)}
       116:{3,4,7}:{(95,1),(96,1),(129,1)}
       117:{1,4,6,7}:{(97,1),(98,1),(109,1),(128,1),(130,1),(139,1)}
       118:{1,3,5,7}:{(98,1),(99,1),(100,1),(110,1),(129,1),(130,1),(131,1)}
       119:{2,5,6}:{(99,1),(101,1),(131,1),(132,1)}
       120:{2,4,7}:{(100,1),(101,1),(103,1),(131,1),(133,1)}
       121:{1,4,6}:{(101,1),(102,1),(104,1),(132,1),(133,1)}
       122:{1,3,7}:{(103,1),(104,1),(133,1),(134,1)}
       123:{1,2,6}:{(104,1),(105,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(111,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(114,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(118,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,5,6}:{(119,1),(121,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1740 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1741 :   0:{2,3,4,5}:{(1,1),(2,1),(35,1),(128,1)}
         1:{1,3,4,5}:{(0,1),(4,1),(5,1),(22,1),(115,1),(120,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(57,1),(107,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(12,1),(96,1)}
         4:{2,4,5}:{(1,1),(12,1),(13,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(42,1),(92,1),(98,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(17,1)}
         7:{2,3,4,7}:{(2,1),(15,1),(17,1),(83,1),(131,1)}
         8:{1,3,4,5}:{(3,1),(18,1),(19,1),(22,1),(115,1),(145,1)}
         9:{2,3,4,6}:{(3,1),(19,1),(20,1),(21,1),(27,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(18,1),(22,1),(23,1),(24,1),(69,1),(115,1)}
        11:{1,2,3,5}:{(22,1),(24,1),(25,1),(69,1)}
        12:{2,3,5}:{(4,1),(22,1),(26,1),(27,1)}
        13:{2,4,6}:{(4,1),(5,1),(27,1),(28,1),(29,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(28,1),(30,1),(31,1),(75,1)}
        15:{1,3,4,7}:{(5,1),(7,1),(29,1),(31,1),(67,1),(117,1),(123,1)}
        16:{2,4,5,6}:{(6,1),(30,1),(32,1),(33,1),(107,1),(168,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(34,1)}
        18:{2,4,5}:{(8,1),(35,1),(36,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(36,1),(37,1),(38,1),(42,1),(92,1),(130,1)}
        20:{2,3,5,6}:{(9,1),(37,1),(39,1),(40,1)}
        21:{2,3,4,7}:{(9,1),(38,1),(40,1),(49,1),(99,1)}
        22:{1,3,5}:{(10,1),(12,1),(35,1),(41,1),(42,1)}
        23:{1,2,4,6}:{(10,1),(13,1),(36,1),(42,1),(43,1),(44,1),(92,1)}
        24:{1,2,4}:{(11,1),(41,1)}
        25:{1,2,3,6}:{(11,1),(42,1),(45,1),(46,1)}
        26:{2,3,4}:{(12,1),(41,1)}
        27:{2,3,6}:{(12,1),(13,1),(42,1),(49,1)}
        28:{2,5,6}:{(13,1),(14,1),(51,1)}
        29:{2,4,7}:{(13,1),(15,1),(49,1),(51,1)}
        30:{1,4,5,6}:{(14,1),(16,1),(50,1),(52,1),(92,1),(164,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(17,1),(51,1),(52,1),(53,1),(101,1)}
        32:{3,4,5,6}:{(16,1),(54,1),(130,1),(172,1)}
        33:{2,4,5,7}:{(16,1),(17,1),(52,1),(54,1),(55,1),(131,1),(162,1)}
        34:{2,3,6,7}:{(17,1),(53,1),(55,1)}
        35:{2,3,5}:{(18,1),(22,1),(56,1),(57,1)}
        36:{2,4,6}:{(18,1),(19,1),(57,1),(58,1),(59,1)}
        37:{1,3,5,6}:{(19,1),(20,1),(58,1),(60,1),(61,1),(109,1)}
        38:{1,3,4,7}:{(19,1),(21,1),(59,1),(61,1),(67,1),(117,1),(148,1)}
        39:{2,4,5,6}:{(20,1),(60,1),(62,1),(63,1),(73,1),(156,1)}
        40:{2,3,5,7}:{(20,1),(21,1),(61,1),(63,1),(64,1)}
        41:{1,3,4}:{(22,1),(24,1),(26,1),(56,1)}
        42:{1,3,6}:{(22,1),(23,1),(27,1),(57,1),(67,1)}
        43:{1,2,5,6}:{(23,1),(28,1),(58,1),(66,1),(68,1),(69,1),(119,1)}
        44:{1,2,4,7}:{(23,1),(29,1),(59,1),(67,1),(68,1),(117,1)}
        45:{1,2,4,6}:{(24,1),(25,1),(65,1),(69,1),(70,1),(119,1)}
        46:{1,2,3,7}:{(25,1),(67,1),(70,1)}
        47:{2,3,4,6}:{(26,1),(27,1),(65,1),(71,1),(72,1),(73,1),(122,1)}
        48:{2,3,5,6}:{(27,1),(28,1),(66,1),(71,1),(73,1),(74,1),(75,1),(122,1),(156,1)}
        49:{2,3,7}:{(27,1),(29,1),(67,1)}
        50:{2,4,5,6}:{(28,1),(30,1),(73,1),(75,1),(76,1),(156,1),(171,1)}
        51:{2,5,7}:{(28,1),(29,1),(31,1),(77,1)}
        52:{1,4,5,7}:{(30,1),(31,1),(33,1),(76,1),(78,1),(117,1),(154,1)}
        53:{1,3,6,7}:{(31,1),(34,1),(77,1),(78,1),(125,1)}
        54:{3,4,5,7}:{(32,1),(33,1),(79,1),(148,1),(169,1)}
        55:{2,4,6,7}:{(33,1),(34,1),(78,1),(79,1),(80,1)}
        56:{2,3,4}:{(35,1),(41,1)}
        57:{2,3,6}:{(35,1),(36,1),(42,1),(83,1)}
        58:{2,5,6}:{(36,1),(37,1),(85,1)}
        59:{2,4,7}:{(36,1),(38,1),(83,1),(85,1)}
        60:{1,4,5,6}:{(37,1),(39,1),(84,1),(86,1),(92,1),(164,1)}
        61:{1,3,5,7}:{(37,1),(38,1),(40,1),(85,1),(86,1),(87,1),(133,1)}
        62:{3,4,5,6}:{(39,1),(88,1),(98,1),(165,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(86,1),(88,1),(89,1),(99,1),(143,1)}
        64:{2,3,6,7}:{(40,1),(87,1),(89,1)}
        65:{1,3,4,6}:{(41,1),(42,1),(45,1),(47,1),(81,1),(90,1),(91,1),(92,1),(138,1)}
        66:{1,3,5,6}:{(42,1),(43,1),(48,1),(82,1),(90,1),(92,1),(93,1),(138,1),(164,1)}
        67:{1,3,7}:{(42,1),(44,1),(49,1),(83,1)}
        68:{1,2,5,7}:{(43,1),(44,1),(51,1),(85,1),(93,1),(94,1)}
        69:{1,2,5}:{(45,1),(90,1)}
        70:{1,2,4,7}:{(45,1),(46,1),(91,1),(95,1)}
        71:{2,3,5}:{(47,1),(90,1),(96,1)}
        72:{2,3,4,7}:{(47,1),(49,1),(91,1),(97,1),(99,1)}
        73:{2,4,6}:{(48,1),(92,1),(96,1),(98,1),(99,1)}
        74:{2,3,5,7}:{(48,1),(49,1),(51,1),(93,1),(99,1),(100,1),(101,1),(143,1)}
        75:{3,5,6}:{(50,1),(98,1),(101,1)}
        76:{2,4,5,7}:{(50,1),(51,1),(52,1),(99,1),(101,1),(102,1),(143,1),(166,1)}
        77:{2,6,7}:{(51,1),(53,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(55,1),(102,1),(103,1)}
        79:{3,4,6,7}:{(54,1),(55,1),(104,1)}
        80:{2,5,6,7}:{(55,1),(103,1),(104,1),(162,1)}
        81:{2,3,4,6}:{(56,1),(57,1),(65,1),(105,1),(106,1),(107,1),(147,1)}
        82:{2,3,5,6}:{(57,1),(58,1),(66,1),(105,1),(107,1),(108,1),(109,1),(147,1),(168,1)}
        83:{2,3,7}:{(57,1),(59,1),(67,1)}
        84:{2,4,5,6}:{(58,1),(60,1),(107,1),(109,1),(110,1),(168,1),(174,1)}
        85:{2,5,7}:{(58,1),(59,1),(61,1),(111,1)}
        86:{1,4,5,7}:{(60,1),(61,1),(63,1),(110,1),(112,1),(117,1),(154,1)}
        87:{1,3,6,7}:{(61,1),(64,1),(111,1),(112,1),(150,1)}
        88:{3,4,5,7}:{(62,1),(63,1),(113,1),(123,1),(157,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(112,1),(113,1),(114,1)}
        90:{1,3,5}:{(65,1),(69,1),(71,1),(105,1),(115,1)}
        91:{1,3,4,7}:{(65,1),(67,1),(70,1),(72,1),(106,1),(116,1),(117,1)}
        92:{1,4,6}:{(66,1),(73,1),(107,1),(115,1),(117,1)}
        93:{1,3,5,7}:{(66,1),(67,1),(68,1),(74,1),(108,1),(117,1),(118,1),(154,1)}
        94:{1,2,6,7}:{(68,1),(77,1),(111,1),(118,1),(119,1)}
        95:{1,2,5,7}:{(69,1),(70,1),(116,1),(119,1)}
        96:{2,4,5}:{(71,1),(73,1),(115,1),(120,1)}
        97:{2,3,5,7}:{(71,1),(72,1),(116,1),(121,1),(122,1)}
        98:{3,4,6}:{(73,1),(75,1),(120,1),(123,1)}
        99:{2,4,7}:{(73,1),(74,1),(117,1),(123,1)}
       100:{2,3,6,7}:{(74,1),(77,1),(118,1),(122,1),(124,1),(125,1)}
       101:{3,5,7}:{(75,1),(76,1),(123,1),(125,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(78,1),(125,1),(126,1),(158,1)}
       103:{1,5,6,7}:{(78,1),(80,1),(126,1),(154,1)}
       104:{3,5,6,7}:{(79,1),(80,1),(127,1),(169,1)}
       105:{2,3,5}:{(81,1),(90,1),(128,1)}
       106:{2,3,4,7}:{(81,1),(83,1),(91,1),(129,1),(131,1)}
       107:{2,4,6}:{(82,1),(92,1),(128,1),(130,1),(131,1)}
       108:{2,3,5,7}:{(82,1),(83,1),(85,1),(93,1),(131,1),(132,1),(133,1),(162,1)}
       109:{3,5,6}:{(84,1),(130,1),(133,1)}
       110:{2,4,5,7}:{(84,1),(85,1),(86,1),(131,1),(133,1),(134,1),(162,1),(173,1)}
       111:{2,6,7}:{(85,1),(87,1)}
       112:{1,4,6,7}:{(86,1),(87,1),(89,1),(134,1),(135,1)}
       113:{3,4,6,7}:{(88,1),(89,1),(136,1)}
       114:{2,5,6,7}:{(89,1),(135,1),(136,1),(143,1)}
       115:{1,4,5}:{(90,1),(92,1),(96,1),(128,1)}
       116:{1,3,5,7}:{(90,1),(91,1),(95,1),(97,1),(129,1),(137,1),(138,1)}
       117:{1,4,7}:{(92,1),(93,1),(99,1),(131,1)}
       118:{1,3,6,7}:{(93,1),(94,1),(100,1),(132,1),(138,1),(139,1)}
       119:{1,2,6}:{(95,1),(138,1)}
       120:{3,4,5}:{(96,1),(98,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(137,1),(140,1),(141,1),(143,1)}
       122:{2,3,6}:{(97,1),(138,1),(141,1)}
       123:{3,4,7}:{(98,1),(99,1),(101,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(139,1),(141,1),(142,1),(143,1)}
       125:{3,6,7}:{(101,1),(102,1)}
       126:{2,5,6,7}:{(102,1),(103,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(104,1),(173,1)}
       128:{2,4,5}:{(105,1),(107,1),(115,1),(145,1)}
       129:{2,3,5,7}:{(105,1),(106,1),(116,1),(146,1),(147,1)}
       130:{3,4,6}:{(107,1),(109,1),(145,1),(148,1)}
       131:{2,4,7}:{(107,1),(108,1),(117,1),(148,1)}
       132:{2,3,6,7}:{(108,1),(111,1),(118,1),(147,1),(149,1),(150,1)}
       133:{3,5,7}:{(109,1),(110,1),(148,1),(150,1)}
       134:{2,4,6,7}:{(110,1),(111,1),(112,1),(150,1),(151,1),(170,1)}
       135:{1,5,6,7}:{(112,1),(114,1),(151,1),(154,1)}
       136:{3,5,6,7}:{(113,1),(114,1),(152,1),(157,1)}
       137:{1,4,5,7}:{(115,1),(116,1),(117,1),(121,1),(146,1),(153,1),(154,1)}
       138:{1,3,6}:{(116,1),(119,1),(122,1),(147,1),(153,1)}
       139:{1,4,6,7}:{(117,1),(118,1),(124,1),(149,1),(153,1),(154,1)}
       140:{3,4,5,7}:{(120,1),(121,1),(123,1),(155,1),(157,1)}
       141:{2,4,6}:{(121,1),(122,1),(153,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(123,1),(124,1),(125,1),(155,1),(157,1),(158,1)}
       143:{2,5,7}:{(124,1),(154,1),(156,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(157,1),(158,1)}
       145:{3,4,5}:{(128,1),(130,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(131,1),(137,1),(159,1),(160,1),(162,1)}
       147:{2,3,6}:{(129,1),(138,1),(160,1)}
       148:{3,4,7}:{(130,1),(131,1),(133,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(139,1),(160,1),(161,1),(162,1)}
       150:{3,6,7}:{(133,1),(134,1)}
       151:{2,5,6,7}:{(134,1),(135,1),(162,1),(163,1)}
       152:{4,5,6,7}:{(136,1),(166,1)}
       153:{1,4,6}:{(137,1),(138,1),(141,1),(160,1),(164,1)}
       154:{1,5,7}:{(139,1),(143,1),(162,1),(164,1)}
       155:{3,4,6}:{(140,1),(141,1),(165,1)}
       156:{2,5,6}:{(141,1),(143,1),(164,1),(165,1)}
       157:{3,5,7}:{(142,1),(143,1),(165,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,4,5,7}:{(145,1),(146,1),(148,1),(167,1),(169,1)}
       160:{2,4,6}:{(146,1),(147,1),(153,1),(167,1),(168,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(170,1)}
       162:{2,5,7}:{(149,1),(154,1),(168,1),(169,1)}
       163:{3,5,6,7}:{(150,1),(151,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(156,1),(168,1)}
       165:{3,5,6}:{(155,1),(156,1),(157,1),(171,1)}
       166:{4,5,7}:{(157,1),(158,1),(171,1)}
       167:{3,4,6}:{(159,1),(160,1),(172,1)}
       168:{2,5,6}:{(160,1),(162,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(172,1),(173,1)}
       170:{4,6,7}:{(163,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{3,5,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

1742 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1743 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1744 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1745 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1746 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1747 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1748 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1749 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(84,1),(150,1),(155,1),(220,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(58,1),(119,1),(252,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(115,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(147,1),(217,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(84,1),(85,1),(93,1),(150,1),(216,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(154,1),(273,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(273,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(149,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(113,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(60,1),(69,1),(78,1),(122,1),(136,1),(192,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(59,1),(67,1),(120,1),(125,1),(132,1),(137,1),(183,1),(186,1),(265,1),(293,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(181,1),(247,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(185,1),(247,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(247,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(115,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(119,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(184,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(82,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(88,1),(102,1),(221,1),(285,1),(304,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(218,1),(220,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(150,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(149,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(55,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(58,1),(59,1),(120,1),(197,1),(249,1),(293,1)}
        37:{2,3,4,5}:{(57,1),(62,1),(143,1),(197,1),(208,1),(257,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(55,1),(63,1),(73,1),(113,1),(127,1),(138,1),(181,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(117,1),(132,1),(183,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(57,1),(65,1),(69,1),(78,1),(192,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(120,1),(187,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(58,1),(252,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(59,1),(72,1),(132,1),(185,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(184,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,6,7}:{(35,1),(81,1),(82,1)}
        56:{2,3,5,6,7}:{(35,1),(39,1),(82,1),(83,1),(93,1),(144,1)}
        57:{2,3,4,6}:{(37,1),(42,1),(84,1),(86,1),(109,1),(172,1),(222,1),(227,1)}
        58:{2,3,6}:{(36,1),(45,1),(88,1),(304,1)}
        59:{2,4,7}:{(36,1),(46,1),(88,1),(232,1)}
        60:{3,4,5,6}:{(81,1),(89,1),(241,1),(305,1)}
        61:{2,3,4,5,7}:{(37,1),(84,1),(90,1),(91,1),(144,1),(176,1),(230,1),(238,1),(299,1),(306,1),(312,1)}
        62:{1,3,4,5}:{(37,1),(86,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(84,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(151,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(85,1),(98,1),(218,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(86,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(152,1),(155,1),(157,1),(172,1),(221,1),(225,1),(236,1),(240,1),(277,1),(279,1),(284,1),(285,1),(304,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(87,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(88,1),(102,1),(103,1),(154,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(219,1),(234,1),(276,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(60,1),(111,1),(209,1),(307,1)}
        82:{2,4,6,7}:{(55,1),(56,1),(111,1),(113,1)}
        83:{1,3,5,6,7}:{(56,1),(64,1),(113,1),(114,1),(127,1),(178,1),(181,1)}
        84:{2,3,4,7}:{(57,1),(65,1),(115,1),(140,1),(204,1),(244,1),(249,1)}
        85:{2,3,6,7}:{(58,1),(68,1),(116,1),(117,1),(249,1),(252,1)}
        86:{1,3,4,6}:{(57,1),(62,1),(69,1),(115,1),(118,1),(188,1),(207,1)}
        87:{2,3,5,6}:{(58,1),(71,1),(116,1),(119,1),(120,1),(187,1),(190,1),(252,1)}
        88:{2,4,6}:{(58,1),(59,1),(72,1),(120,1)}
        89:{2,4,5,6}:{(60,1),(111,1),(121,1),(122,1),(295,1)}
        90:{2,3,4,6}:{(61,1),(121,1),(123,1),(211,1),(258,1),(266,1),(295,1),(314,1)}
        91:{1,3,4,5,7}:{(61,1),(62,1),(115,1),(123,1),(124,1),(178,1),(195,1),(244,1),(257,1),(265,1),(287,1),(296,1)}
        92:{2,4,5}:{(62,1),(118,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(181,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(114,1),(128,1),(129,1),(187,1),(199,1),(242,1),(263,1),(298,1),(310,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(115,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(183,1),(186,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(293,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(116,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(117,1),(132,1),(133,1),(185,1),(206,1),(250,1),(252,1),(262,1),(294,1)}
       100:{2,5,6}:{(69,1),(118,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(188,1),(190,1),(192,1),(252,1),(254,1),(294,1),(311,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(119,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(120,1),(137,1),(190,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(310,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(89,1),(144,1),(145,1),(299,1)}
       112:{2,3,4,6,7}:{(82,1),(84,1),(90,1),(93,1),(144,1),(146,1),(174,1),(234,1),(270,1),(299,1)}
       113:{1,4,6,7}:{(82,1),(83,1),(145,1),(147,1)}
       114:{2,5,6,7}:{(83,1),(147,1),(163,1),(212,1)}
       115:{1,3,4,7}:{(84,1),(86,1),(96,1),(149,1),(218,1),(237,1)}
       116:{2,3,5,7}:{(85,1),(87,1),(98,1),(150,1),(151,1),(220,1)}
       117:{2,4,6,7}:{(85,1),(88,1),(99,1),(150,1),(151,1),(221,1),(274,1),(304,1)}
       118:{2,4,6}:{(86,1),(92,1),(100,1),(149,1),(153,1)}
       119:{2,4,6}:{(87,1),(102,1),(150,1),(154,1),(155,1)}
       120:{2,5}:{(88,1),(103,1)}
       121:{2,3,5,6}:{(89,1),(90,1),(144,1),(156,1),(241,1),(284,1)}
       122:{1,4,5,6}:{(89,1),(145,1),(156,1),(157,1),(279,1)}
       123:{1,3,4,6}:{(90,1),(91,1),(156,1),(158,1),(227,1),(228,1),(279,1),(285,1)}
       124:{2,4,5,7}:{(91,1),(92,1),(149,1),(158,1),(160,1),(212,1),(268,1),(280,1)}
       125:{1,2,4,5}:{(92,1),(152,1),(161,1),(232,1),(240,1),(277,1)}
       126:{2,3,5}:{(92,1),(153,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(147,1),(163,1),(164,1),(165,1),(221,1),(234,1),(285,1),(304,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(148,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(303,1)}
       130:{2,5,7}:{(96,1),(100,1),(149,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(218,1),(220,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(150,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(151,1),(169,1),(170,1),(220,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(152,1),(166,1),(171,1),(277,1),(304,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(153,1),(167,1),(171,1),(172,1),(222,1),(224,1),(276,1),(277,1),(284,1),(304,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(154,1),(168,1),(172,1),(173,1),(227,1),(279,1),(305,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(155,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(276,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(121,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(122,1),(178,1),(179,1),(287,1)}
       146:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(123,1),(127,1),(178,1),(180,1),(181,1),(244,1),(245,1),(262,1),(287,1)}
       147:{2,4,6,7}:{(113,1),(114,1),(179,1),(181,1)}
       148:{2,3,5,6,7}:{(114,1),(116,1),(129,1),(181,1),(182,1),(187,1),(200,1),(243,1),(247,1),(252,1),(263,1),(292,1)}
       149:{2,4,7}:{(115,1),(118,1),(130,1),(184,1)}
       150:{2,4,7}:{(116,1),(119,1),(132,1),(185,1)}
       151:{2,5,7}:{(117,1),(120,1),(133,1),(187,1)}
       152:{1,2,4,6}:{(118,1),(125,1),(134,1),(183,1),(188,1),(207,1),(253,1)}
       153:{2,3,6}:{(118,1),(126,1),(184,1),(188,1)}
       154:{3,4,6}:{(119,1),(185,1),(190,1),(252,1)}
       155:{2,4,5}:{(119,1),(120,1),(137,1),(190,1)}
       156:{1,3,5,6}:{(121,1),(122,1),(123,1),(178,1),(191,1),(192,1),(298,1)}
       157:{2,4,5,6}:{(122,1),(179,1),(191,1),(192,1),(256,1)}
       158:{2,4,6}:{(123,1),(124,1),(191,1),(194,1)}
       159:{1,2,4,5,7}:{(124,1),(125,1),(183,1),(193,1),(195,1),(242,1),(261,1),(265,1),(287,1),(293,1),(296,1),(297,1),(308,1)}
       160:{2,3,5,7}:{(124,1),(126,1),(184,1),(194,1),(195,1),(196,1),(260,1)}
       161:{1,3,5}:{(125,1),(126,1),(188,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(181,1),(200,1),(252,1),(294,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(182,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(183,1),(199,1),(203,1),(293,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(184,1),(200,1),(203,1),(204,1),(249,1),(263,1),(293,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(185,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(186,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(187,1),(206,1),(252,1),(294,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(188,1),(203,1),(207,1),(254,1),(294,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(190,1),(208,1),(254,1),(257,1),(296,1),(311,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(156,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(157,1),(212,1),(213,1),(268,1)}
       180:{2,4,6,7}:{(146,1),(149,1),(158,1),(163,1),(212,1),(215,1),(268,1)}
       181:{3,6,7}:{(147,1),(213,1)}
       182:{2,4,6,7}:{(148,1),(150,1),(165,1),(216,1),(217,1),(221,1),(268,1),(301,1)}
       183:{1,2,4,7}:{(149,1),(152,1),(166,1),(218,1),(237,1),(274,1)}
       184:{2,3,7}:{(149,1),(153,1),(218,1)}
       185:{3,4,7}:{(150,1),(154,1),(220,1)}
       186:{2,4,5,7}:{(150,1),(151,1),(155,1),(169,1),(220,1),(221,1)}
       187:{2,5,6}:{(151,1),(170,1),(221,1),(304,1)}
       188:{1,3,6}:{(152,1),(153,1),(161,1),(218,1),(222,1)}
       189:{2,3,4,6}:{(153,1),(154,1),(162,1),(172,1),(219,1),(223,1),(224,1),(276,1),(305,1)}
       190:{3,5}:{(154,1),(155,1)}
       191:{2,5,6}:{(156,1),(158,1),(212,1)}
       192:{3,5,6}:{(157,1),(213,1),(227,1)}
       193:{1,2,4,6}:{(158,1),(159,1),(225,1),(228,1),(279,1),(281,1),(285,1),(304,1),(313,1)}
       194:{2,3,6}:{(158,1),(160,1),(228,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(218,1),(228,1),(230,1),(231,1),(282,1),(312,1)}
       196:{2,3,4,7}:{(160,1),(162,1),(229,1),(231,1),(268,1)}
       197:{2,3,5}:{(161,1),(222,1),(232,1),(277,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(304,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(276,1),(304,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(216,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(217,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(218,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(220,1),(235,1),(238,1),(239,1),(269,1),(275,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(221,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(224,1),(240,1),(277,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(191,1)}
       213:{3,5,7}:{(179,1),(181,1),(192,1),(244,1)}
       214:{1,2,4,6,7}:{(180,1),(183,1),(193,1),(199,1),(242,1),(245,1),(262,1),(287,1),(290,1)}
       215:{2,3,6,7}:{(180,1),(181,1),(184,1),(194,1),(243,1),(245,1)}
       216:{3,4,6,7}:{(181,1),(182,1),(185,1),(244,1),(247,1),(252,1),(289,1)}
       217:{2,4,5,7}:{(182,1),(202,1),(247,1),(248,1),(263,1)}
       218:{1,3,7}:{(183,1),(184,1),(188,1),(249,1)}
       219:{2,3,4,7}:{(184,1),(185,1),(189,1),(204,1),(250,1),(251,1),(307,1)}
       220:{3,5,7}:{(185,1),(186,1),(190,1),(252,1)}
       221:{2,4,6}:{(186,1),(187,1),(206,1),(252,1)}
       222:{2,3,6}:{(188,1),(197,1),(249,1),(253,1)}
       223:{1,3,4,6}:{(188,1),(189,1),(198,1),(207,1),(250,1),(253,1),(254,1),(294,1)}
       224:{2,3,5}:{(189,1),(190,1),(208,1),(254,1),(311,1)}
       225:{1,2,5,6}:{(191,1),(193,1),(242,1),(255,1),(297,1),(298,1),(310,1)}
       226:{2,3,5,6}:{(191,1),(192,1),(194,1),(243,1),(255,1),(256,1),(260,1)}
       227:{3,4,6}:{(192,1),(244,1),(256,1),(257,1)}
       228:{1,3,6}:{(193,1),(194,1),(195,1),(258,1),(314,1)}
       229:{2,3,4,6}:{(194,1),(196,1),(256,1),(259,1),(260,1)}
       230:{2,3,5,7}:{(195,1),(197,1),(249,1),(258,1),(261,1),(293,1),(297,1)}
       231:{1,3,4,7}:{(195,1),(196,1),(198,1),(259,1),(261,1),(287,1),(307,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(294,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(247,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(248,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(251,1),(263,1),(265,1),(266,1),(293,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(252,1),(264,1),(266,1),(289,1),(294,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(254,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(225,1),(267,1),(283,1),(302,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(226,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(227,1),(268,1)}
       245:{1,3,6,7}:{(214,1),(215,1),(218,1),(228,1),(267,1),(270,1)}
       246:{2,3,4,6,7}:{(215,1),(216,1),(219,1),(229,1),(234,1),(268,1),(271,1),(272,1),(276,1),(301,1)}
       247:{3,5,7}:{(216,1),(217,1),(273,1)}
       248:{2,4,5,6}:{(217,1),(221,1),(236,1),(273,1),(284,1),(301,1)}
       249:{2,3,7}:{(218,1),(222,1),(274,1)}
       250:{1,3,4,7}:{(218,1),(219,1),(223,1),(237,1),(274,1),(275,1)}
       251:{2,3,5,7}:{(219,1),(220,1),(224,1),(238,1),(275,1),(276,1),(312,1)}
       252:{3,6}:{(220,1),(221,1)}
       253:{2,4,6}:{(222,1),(223,1),(232,1),(274,1),(277,1),(304,1)}
       254:{1,3,5}:{(223,1),(224,1),(240,1),(277,1)}
       255:{1,3,5,6}:{(225,1),(226,1),(228,1),(267,1),(278,1),(279,1),(282,1)}
       256:{2,4,6}:{(226,1),(227,1),(268,1),(279,1),(280,1)}
       257:{3,4,5}:{(227,1),(280,1)}
       258:{2,3,6}:{(228,1),(230,1),(281,1),(304,1)}
       259:{1,3,4,6}:{(228,1),(229,1),(231,1),(279,1),(281,1),(282,1),(305,1)}
       260:{2,3,5}:{(229,1),(280,1),(282,1)}
       261:{2,4,7}:{(230,1),(231,1),(232,1),(281,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(273,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(275,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(276,1),(284,1),(285,1),(304,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(255,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(256,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(257,1),(288,1),(289,1)}
       270:{2,3,6,7}:{(245,1),(249,1),(258,1),(286,1),(290,1),(314,1)}
       271:{1,3,4,6,7}:{(245,1),(246,1),(250,1),(259,1),(262,1),(287,1),(290,1),(291,1),(294,1),(307,1),(309,1),(314,1)}
       272:{2,3,5,7}:{(246,1),(247,1),(260,1),(263,1),(288,1),(291,1),(292,1)}
       273:{3,5,6}:{(247,1),(248,1),(252,1),(289,1)}
       274:{2,4,7}:{(249,1),(250,1),(253,1),(293,1)}
       275:{1,3,5,7}:{(250,1),(251,1),(254,1),(265,1),(293,1),(294,1)}
       276:{2,3,6}:{(251,1),(252,1),(266,1),(294,1),(314,1)}
       277:{2,5}:{(253,1),(254,1)}
       278:{2,3,5,6}:{(255,1),(258,1),(286,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       279:{1,4,6}:{(255,1),(256,1),(287,1),(295,1),(296,1)}
       280:{2,4,5}:{(256,1),(257,1),(260,1),(296,1)}
       281:{2,4,6}:{(258,1),(259,1),(261,1),(297,1)}
       282:{1,3,5}:{(259,1),(260,1),(296,1),(297,1),(311,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(294,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(278,1),(299,1),(302,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(279,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(280,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(273,1),(301,1)}
       290:{2,4,6,7}:{(270,1),(271,1),(274,1),(281,1),(299,1),(302,1),(304,1),(313,1)}
       291:{1,3,5,7}:{(271,1),(272,1),(282,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{2,3,5,6}:{(272,1),(273,1),(276,1),(284,1),(301,1),(303,1)}
       293:{2,5,7}:{(274,1),(275,1),(277,1),(304,1)}
       294:{1,3,6}:{(275,1),(276,1),(285,1),(304,1)}
       295:{2,4,6}:{(278,1),(279,1),(299,1),(305,1),(306,1)}
       296:{1,4,5}:{(279,1),(280,1),(282,1),(306,1)}
       297:{2,5}:{(281,1),(282,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(295,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(296,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{2,5,7}:{(290,1),(291,1),(297,1),(310,1)}
       303:{1,3,5,6}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1),(314,1)}
       304:{2,6}:{(293,1),(294,1)}
       305:{3,4,6}:{(295,1),(307,1),(311,1),(314,1)}
       306:{2,4,5}:{(295,1),(296,1),(297,1),(311,1)}
       307:{3,4,7}:{(299,1),(305,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(302,1),(306,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       310:{2,5,6}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5}:{(305,1),(306,1)}
       312:{3,5,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

1750 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(23,1),(44,1),(62,1),(97,1),(108,1),(110,1),(151,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(28,1),(32,1),(74,1),(79,1),(81,1),(87,1),(129,1),(138,1),(139,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(38,1),(85,1),(177,1),(182,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(38,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(16,1),(43,1),(56,1),(91,1),(107,1),(147,1),(152,1),(154,1),(157,1),(241,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(52,1),(105,1),(108,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(54,1),(56,1),(157,1),(166,1),(167,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(57,1),(114,1),(156,1),(204,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(97,1),(150,1)}
         9:{1,3,5,6,7}:{(3,1),(14,1),(21,1),(22,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(15,1),(20,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(173,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(136,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(6,1),(25,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(31,1),(32,1),(79,1),(135,1),(138,1)}
        15:{2,4,6}:{(5,1),(8,1),(32,1),(33,1)}
        16:{2,3,6,7}:{(6,1),(28,1),(34,1),(79,1),(130,1),(191,1),(214,1)}
        17:{2,5,7}:{(6,1),(7,1),(31,1),(182,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(32,1),(35,1),(74,1),(128,1)}
        19:{3,4,5,7}:{(8,1),(33,1),(38,1),(125,1),(177,1)}
        20:{2,4,5,7}:{(10,1),(30,1),(37,1),(38,1),(85,1),(192,1)}
        21:{2,5,6,7}:{(9,1),(31,1),(39,1),(85,1),(143,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(32,1),(37,1),(39,1)}
        23:{3,4,6,7}:{(10,1),(33,1),(38,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(93,1),(149,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(56,1),(106,1)}
        28:{1,3,6,7}:{(13,1),(16,1),(44,1),(49,1),(101,1),(158,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(17,1),(45,1),(48,1),(49,1),(114,1),(169,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(15,1),(20,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{2,5,6}:{(14,1),(17,1),(54,1),(166,1)}
        32:{1,4,6}:{(14,1),(15,1),(18,1),(54,1)}
        33:{3,4,6}:{(15,1),(19,1),(52,1)}
        34:{2,3,5,7}:{(16,1),(17,1),(49,1),(53,1),(56,1),(57,1),(227,1),(241,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(54,1),(56,1),(57,1),(106,1)}
        36:{1,3,4,5,7}:{(18,1),(19,1),(55,1),(57,1),(58,1),(60,1),(102,1),(111,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(51,1),(59,1),(60,1),(114,1),(168,1)}
        38:{3,5,7}:{(20,1),(23,1),(52,1),(211,1)}
        39:{2,4,6,7}:{(21,1),(22,1),(54,1),(59,1),(61,1)}
        40:{1,3,4,6,7}:{(22,1),(23,1),(55,1),(60,1),(61,1),(62,1),(112,1),(115,1),(168,1),(211,1)}
        41:{2,3,5,6,7}:{(24,1),(63,1),(64,1),(117,1),(171,1),(172,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(176,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(143,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(81,1),(117,1),(136,1)}
        48:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(73,1),(135,1),(176,1),(182,1),(184,1),(188,1),(217,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(34,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(35,1),(70,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(131,1),(140,1),(181,1),(182,1),(185,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(32,1),(37,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(33,1),(38,1),(177,1),(224,1)}
        53:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(130,1),(136,1),(182,1),(217,1),(237,1),(238,1)}
        54:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        55:{1,3,4,6}:{(32,1),(33,1),(36,1),(77,1),(79,1),(80,1),(133,1),(138,1),(187,1),(224,1)}
        56:{2,4,7}:{(34,1),(74,1),(78,1),(81,1)}
        57:{3,5,7}:{(35,1),(79,1),(81,1),(136,1)}
        58:{2,4,5,7}:{(36,1),(80,1),(82,1),(83,1),(85,1),(131,1),(140,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        59:{2,4,5,7}:{(37,1),(39,1),(76,1),(84,1),(85,1),(141,1)}
        60:{1,3,5,7}:{(37,1),(38,1),(40,1),(77,1),(84,1),(85,1)}
        61:{3,6,7}:{(39,1),(79,1),(84,1)}
        62:{2,4,6,7}:{(40,1),(80,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(42,1),(89,1),(90,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(43,1),(88,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(43,1),(88,1),(92,1),(93,1),(106,1),(149,1),(229,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(93,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(169,1),(211,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(53,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(54,1),(95,1),(100,1),(101,1),(109,1),(153,1),(157,1),(166,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(56,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(57,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(54,1),(59,1),(104,1),(105,1),(106,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(55,1),(60,1),(104,1),(105,1),(156,1)}
        78:{2,4,6}:{(53,1),(56,1),(100,1),(106,1),(107,1),(243,1)}
        79:{3,6}:{(54,1),(57,1)}
        80:{2,4,6}:{(55,1),(58,1),(105,1),(108,1),(109,1),(166,1)}
        81:{3,4,7}:{(56,1),(57,1),(107,1),(241,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(108,1),(110,1),(111,1),(164,1),(211,1),(233,1)}
        83:{1,4,5,7}:{(58,1),(109,1),(111,1),(114,1),(159,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(61,1),(104,1),(112,1)}
        85:{2,5,7}:{(60,1),(62,1),(105,1),(114,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(108,1),(113,1),(115,1),(211,1)}
        87:{1,4,6,7}:{(62,1),(109,1),(114,1),(115,1),(168,1)}
        88:{2,4,5,7}:{(64,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{2,5,6,7}:{(63,1),(66,1),(118,1),(171,1),(214,1)}
        90:{1,4,6,7}:{(63,1),(64,1),(67,1),(116,1),(118,1)}
        91:{3,4,6,7}:{(64,1),(68,1),(117,1)}
        92:{1,4,5,6}:{(65,1),(67,1),(116,1),(120,1),(121,1),(128,1),(176,1),(216,1)}
        93:{3,5,6}:{(65,1),(68,1),(117,1),(136,1),(237,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(121,1),(123,1),(124,1),(174,1),(179,1),(216,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(78,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(79,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(81,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(140,1),(181,1),(182,1),(191,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(79,1),(84,1),(133,1),(136,1)}
       105:{2,5,6}:{(77,1),(80,1),(85,1),(135,1),(182,1)}
       106:{2,4,5}:{(78,1),(128,1),(136,1),(182,1)}
       107:{3,4,6}:{(78,1),(79,1),(81,1),(136,1),(237,1),(244,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(224,1)}
       109:{1,4,6}:{(80,1),(83,1),(135,1),(138,1)}
       110:{2,3,4,7}:{(81,1),(82,1),(131,1),(137,1),(139,1),(141,1),(220,1),(240,1)}
       111:{1,3,5,7}:{(82,1),(83,1),(138,1),(139,1),(140,1),(189,1)}
       112:{3,4,7}:{(84,1),(133,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(134,1),(141,1),(142,1)}
       114:{1,5,7}:{(85,1),(87,1),(135,1)}
       115:{1,3,6,7}:{(86,1),(87,1),(138,1),(142,1),(143,1)}
       116:{1,4,5,7}:{(88,1),(90,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(91,1),(93,1),(241,1)}
       118:{2,4,6,7}:{(89,1),(90,1),(95,1),(144,1),(146,1)}
       119:{1,3,4,6,7}:{(90,1),(91,1),(96,1),(145,1),(146,1),(147,1),(193,1),(196,1),(226,1),(241,1)}
       120:{2,4,5,6}:{(92,1),(95,1),(144,1),(148,1),(149,1),(150,1),(198,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(156,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(149,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(211,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(106,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(107,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(166,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(112,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(108,1),(113,1),(162,1),(163,1),(164,1)}
       135:{1,5,6}:{(105,1),(109,1),(114,1),(204,1)}
       136:{3,5}:{(106,1),(107,1)}
       137:{2,3,4,6}:{(107,1),(108,1),(110,1),(157,1),(162,1),(164,1),(165,1),(231,1),(243,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(166,1)}
       139:{1,3,4,7}:{(110,1),(111,1),(159,1),(165,1),(167,1),(168,1),(206,1),(211,1)}
       140:{2,5,7}:{(111,1),(166,1),(167,1),(209,1)}
       141:{2,4,7}:{(112,1),(113,1),(162,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(163,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(115,1),(166,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,6,7}:{(118,1),(123,1),(170,1)}
       147:{2,4,6,7}:{(119,1),(124,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{3,5,6}:{(120,1),(123,1),(170,1),(174,1),(177,1)}
       149:{2,5,6}:{(121,1),(124,1),(171,1),(176,1),(182,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(176,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(191,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(136,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(140,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(141,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(138,1),(142,1),(187,1),(188,1),(189,1),(224,1)}
       164:{2,3,5}:{(136,1),(137,1),(182,1),(186,1),(189,1)}
       165:{1,3,4,6}:{(137,1),(138,1),(139,1),(183,1),(187,1),(189,1),(190,1),(222,1),(224,1),(239,1),(240,1)}
       166:{2,6}:{(138,1),(140,1)}
       167:{2,4,7}:{(139,1),(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(187,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(188,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{2,3,6,7}:{(146,1),(147,1),(152,1),(194,1),(196,1),(241,1)}
       173:{1,4,6,7}:{(147,1),(153,1),(195,1),(196,1),(226,1)}
       174:{3,4,6}:{(148,1),(193,1),(197,1),(198,1)}
       175:{2,3,5,6}:{(148,1),(149,1),(152,1),(194,1),(198,1),(199,1),(200,1)}
       176:{1,5,6}:{(149,1),(153,1),(195,1),(204,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(198,1),(200,1),(201,1),(210,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(166,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(167,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(164,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(168,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(166,1),(169,1),(208,1),(209,1)}
       189:{1,3,5}:{(164,1),(165,1),(204,1),(207,1),(209,1),(233,1)}
       190:{2,4,6}:{(165,1),(166,1),(167,1),(209,1),(210,1),(234,1)}
       191:{2,3,7}:{(167,1),(206,1),(210,1),(211,1)}
       192:{2,4,7}:{(168,1),(169,1),(208,1),(211,1)}
       193:{3,4,7}:{(170,1),(174,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(173,1),(176,1)}
       196:{1,3,6,7}:{(172,1),(173,1),(179,1),(213,1),(214,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,4,6}:{(174,1),(175,1),(212,1),(215,1),(216,1)}
       199:{1,3,5,6}:{(175,1),(176,1),(179,1),(213,1),(216,1),(217,1),(218,1),(237,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(215,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(216,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(190,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(191,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(189,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(192,1),(223,1),(224,1)}
       209:{2,5}:{(189,1),(190,1)}
       210:{2,3,6}:{(190,1),(191,1),(222,1),(224,1),(225,1)}
       211:{3,7}:{(192,1),(224,1)}
       212:{2,4,7}:{(193,1),(194,1),(198,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(196,1),(202,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(200,1),(228,1),(234,1)}
       216:{1,4,6}:{(198,1),(199,1),(226,1),(228,1),(229,1)}
       217:{2,5,6}:{(199,1),(202,1),(227,1),(229,1),(230,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(209,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(210,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(211,1),(233,1)}
       225:{2,3,5}:{(209,1),(210,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(216,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(217,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(216,1),(217,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1751 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(177,1),(178,1),(187,1),(206,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(29,1),(238,1),(239,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(145,1),(163,1),(165,1),(232,1),(251,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(220,1),(231,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(46,1),(283,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(122,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(122,1),(208,1),(295,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(46,1),(107,1),(123,1),(277,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(99,1),(178,1),(206,1),(210,1),(264,1),(276,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(263,1),(275,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(145,1),(324,1)}
        12:{1,2,3,6,7}:{(5,1),(26,1),(27,1),(72,1),(149,1),(236,1),(239,1),(325,1),(326,1),(383,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(28,1),(29,1),(66,1),(74,1),(78,1),(145,1),(232,1),(235,1),(238,1),(322,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(25,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(27,1),(29,1),(30,1),(73,1),(75,1),(80,1),(149,1),(153,1),(241,1),(242,1),(323,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(33,1),(34,1),(253,1),(335,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(33,1),(34,1),(87,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(72,1),(92,1),(145,1),(163,1),(167,1),(251,1),(256,1),(319,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(318,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(306,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(16,1),(42,1),(46,1),(47,1),(281,1),(359,1)}
        25:{1,3,4,6}:{(11,1),(14,1),(17,1),(43,1),(46,1),(47,1),(107,1)}
        26:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(110,1),(194,1),(276,1),(283,1),(360,1)}
        27:{1,2,3,5,7}:{(12,1),(15,1),(48,1),(49,1),(106,1),(111,1),(195,1),(285,1),(359,1),(401,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(46,1),(51,1),(97,1),(107,1),(277,1),(283,1)}
        29:{1,2,5}:{(14,1),(47,1)}
        30:{1,2,4,6}:{(15,1),(49,1),(52,1),(53,1),(107,1),(189,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(121,1),(122,1),(180,1),(187,1),(267,1)}
        32:{2,3,4,6,7}:{(17,1),(45,1),(55,1),(56,1),(112,1),(120,1),(122,1),(192,1),(203,1),(276,1),(399,1),(400,1),(422,1)}
        33:{2,3,6}:{(16,1),(18,1),(46,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(56,1),(59,1),(122,1),(295,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(107,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(263,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(145,1),(222,1),(224,1),(232,1),(311,1)}
        45:{1,3,4,6,7}:{(25,1),(26,1),(32,1),(67,1),(71,1),(72,1),(77,1),(143,1),(145,1),(149,1),(151,1),(237,1),(319,1),(383,1),(384,1),(415,1)}
        46:{1,3,6}:{(24,1),(28,1),(33,1),(68,1)}
        47:{1,3,5}:{(25,1),(29,1),(34,1),(69,1),(74,1)}
        48:{1,2,5,7}:{(26,1),(29,1),(71,1),(75,1),(317,1),(385,1)}
        49:{1,2,4,7}:{(27,1),(30,1),(77,1),(145,1),(233,1),(415,1)}
        50:{1,2,4,6,7}:{(28,1),(35,1),(72,1),(78,1),(133,1),(145,1),(319,1),(322,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(36,1),(73,1),(78,1),(134,1),(318,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(74,1),(80,1),(147,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(77,1),(80,1),(81,1),(149,1),(323,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(33,1),(70,1),(83,1),(87,1),(161,1),(231,1)}
        55:{2,3,5,7}:{(32,1),(34,1),(71,1),(84,1),(85,1),(246,1),(317,1),(414,1)}
        56:{2,3,6,7}:{(33,1),(35,1),(72,1),(86,1),(167,1),(335,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(36,1),(73,1),(86,1),(87,1),(91,1)}
        58:{2,4,5}:{(34,1),(74,1),(87,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(87,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(145,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(146,1),(169,1),(229,1),(245,1),(329,1),(387,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(222,1),(306,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(178,1),(269,1),(349,1)}
        67:{2,3,4,6,7}:{(43,1),(45,1),(98,1),(99,1),(112,1),(176,1),(178,1),(192,1),(264,1),(276,1),(365,1),(366,1),(406,1)}
        68:{2,3,6}:{(42,1),(46,1),(97,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(46,1),(54,1),(97,1),(103,1),(107,1),(179,1),(277,1)}
        71:{1,3,5,7}:{(45,1),(47,1),(48,1),(55,1),(98,1),(104,1),(105,1),(354,1),(403,1)}
        72:{1,3,6,7}:{(46,1),(50,1),(56,1),(99,1),(106,1),(359,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(51,1),(57,1),(100,1),(106,1),(107,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(107,1)}
        75:{1,2,5,6}:{(48,1),(104,1),(110,1),(275,1),(283,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(52,1),(105,1),(110,1),(111,1),(187,1)}
        77:{1,3,4,7}:{(49,1),(53,1),(111,1),(112,1),(359,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(59,1),(106,1),(173,1),(354,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(60,1),(107,1),(110,1),(113,1),(114,1),(131,1),(174,1),(184,1),(189,1),(212,1),(273,1),(275,1),(280,1),(341,1),(355,1),(362,1),(396,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(112,1),(115,1),(116,1),(189,1),(192,1),(296,1),(297,1),(350,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(56,1),(102,1),(117,1),(122,1),(199,1),(203,1),(267,1),(276,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(202,1),(275,1)}
        84:{2,3,5,6}:{(55,1),(104,1),(120,1),(192,1),(202,1),(275,1)}
        85:{2,4,5,7}:{(55,1),(58,1),(105,1),(120,1),(121,1),(122,1),(422,1),(423,1)}
        86:{2,3,5,7}:{(56,1),(57,1),(59,1),(106,1),(122,1),(126,1)}
        87:{2,4,6}:{(57,1),(58,1),(107,1),(122,1),(123,1)}
        88:{3,4,5}:{(58,1),(123,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(122,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(123,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(188,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(189,1),(212,1),(275,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(68,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(69,1),(71,1),(135,1),(136,1),(306,1),(317,1),(390,1)}
        99:{2,3,6,7}:{(68,1),(72,1),(133,1),(137,1),(302,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(137,1),(138,1),(217,1)}
       101:{2,4,5}:{(69,1),(74,1),(138,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(72,1),(82,1),(133,1),(140,1),(145,1),(222,1),(225,1),(302,1),(311,1),(319,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(318,1)}
       104:{1,3,5,6}:{(71,1),(75,1),(84,1),(135,1),(143,1),(149,1),(237,1),(318,1)}
       105:{1,4,5,7}:{(71,1),(74,1),(85,1),(136,1),(143,1),(145,1),(415,1),(416,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(78,1),(86,1),(137,1),(145,1)}
       107:{1,4,6}:{(73,1),(74,1),(87,1),(138,1),(145,1)}
       108:{1,3,4,5}:{(74,1),(80,1),(88,1),(139,1),(146,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(78,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,6}:{(75,1),(76,1),(143,1),(149,1),(231,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(80,1),(149,1),(150,1)}
       112:{2,3,4,7}:{(77,1),(81,1),(150,1),(151,1),(233,1),(335,1),(379,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(90,1),(145,1),(148,1),(152,1),(172,1),(216,1),(228,1),(233,1),(257,1),(316,1),(317,1),(322,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(91,1),(146,1),(149,1),(152,1),(153,1),(217,1),(323,1),(387,1),(411,1)}
       115:{2,3,5}:{(80,1),(81,1),(147,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(151,1),(154,1),(155,1),(234,1),(237,1),(323,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(246,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(87,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(160,1),(167,1),(236,1),(246,1),(317,1),(409,1),(412,1),(424,1)}
       120:{2,4,6}:{(84,1),(85,1),(143,1),(161,1)}
       121:{3,4,5,7}:{(85,1),(88,1),(161,1),(163,1),(246,1),(425,1),(426,1)}
       122:{2,4,7}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,6}:{(87,1),(88,1),(91,1),(163,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(164,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(163,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(164,1),(168,1),(169,1),(387,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(233,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(234,1),(318,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(306,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(99,1),(102,1),(173,1),(178,1),(349,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,6}:{(98,1),(104,1),(176,1),(192,1),(263,1),(275,1)}
       136:{2,4,5,7}:{(98,1),(101,1),(105,1),(176,1),(177,1),(178,1),(406,1),(407,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(173,1),(178,1),(260,1)}
       138:{2,4,6}:{(100,1),(101,1),(107,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(107,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(185,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,6}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,5,7}:{(105,1),(108,1),(111,1),(121,1),(177,1),(186,1),(187,1),(188,1),(274,1)}
       145:{1,4,7}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,6}:{(107,1),(108,1),(114,1),(123,1),(179,1),(188,1),(189,1),(402,1),(405,1),(421,1)}
       147:{2,4,5}:{(108,1),(115,1),(189,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(113,1),(125,1),(185,1),(191,1),(214,1),(259,1),(276,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,6}:{(110,1),(111,1),(192,1)}
       150:{2,3,5,7}:{(111,1),(112,1),(115,1),(187,1),(192,1),(193,1)}
       151:{1,3,4,7}:{(112,1),(116,1),(193,1),(194,1),(279,1),(359,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(126,1),(188,1),(191,1),(195,1),(260,1),(359,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(189,1),(192,1),(195,1),(196,1),(212,1),(275,1),(296,1),(341,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(190,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(194,1),(197,1),(198,1),(283,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(122,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(123,1),(200,1),(202,1)}
       159:{2,4,5,6}:{(120,1),(184,1),(201,1),(202,1),(275,1)}
       160:{2,4,6,7}:{(119,1),(120,1),(122,1),(185,1),(201,1),(203,1),(422,1)}
       161:{3,4,6}:{(120,1),(121,1),(202,1)}
       162:{2,3,4,5,7}:{(121,1),(124,1),(187,1),(204,1),(205,1),(206,1),(290,1),(348,1),(422,1),(423,1)}
       163:{3,4,7}:{(122,1),(123,1),(126,1)}
       164:{2,3,4,6}:{(123,1),(124,1),(127,1),(189,1),(206,1),(207,1),(350,1),(405,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(207,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(206,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(207,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(279,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(138,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(219,1),(236,1),(302,1),(306,1),(317,1),(337,1),(388,1),(391,1)}
       176:{2,4,6}:{(135,1),(136,1),(143,1),(220,1)}
       177:{3,4,5,7}:{(136,1),(139,1),(220,1),(222,1),(306,1),(417,1),(418,1)}
       178:{2,4,7}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(217,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(223,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(145,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(146,1),(158,1),(217,1),(226,1),(227,1),(229,1),(304,1),(305,1),(373,1),(411,1)}
       184:{1,4,5,6}:{(143,1),(159,1),(218,1),(228,1),(229,1),(318,1)}
       185:{1,4,6,7}:{(142,1),(143,1),(145,1),(160,1),(219,1),(228,1),(415,1)}
       186:{1,3,4,6}:{(143,1),(144,1),(149,1),(161,1),(220,1),(229,1),(231,1)}
       187:{2,4,5,7}:{(144,1),(147,1),(150,1),(231,1),(232,1),(233,1),(317,1)}
       188:{1,3,4,7}:{(145,1),(146,1),(152,1),(163,1),(222,1),(233,1),(415,1),(417,1),(425,1)}
       189:{2,4,6}:{(146,1),(147,1),(153,1),(233,1),(234,1)}
       190:{1,4,5}:{(147,1),(154,1),(234,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(152,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,6}:{(149,1),(150,1),(231,1),(237,1)}
       193:{1,3,5,7}:{(150,1),(151,1),(154,1),(232,1),(237,1),(238,1)}
       194:{1,2,4,7}:{(151,1),(155,1),(238,1),(239,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(233,1),(236,1),(240,1),(257,1),(317,1),(335,1),(371,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(234,1),(237,1),(240,1),(241,1),(318,1),(323,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(239,1),(242,1),(323,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(163,1),(244,1),(246,1)}
       201:{2,4,5,7}:{(159,1),(160,1),(228,1),(246,1),(317,1)}
       202:{3,5,6}:{(159,1),(161,1),(246,1)}
       203:{3,4,6,7}:{(160,1),(161,1),(163,1),(167,1),(246,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(161,1),(162,1),(231,1),(247,1),(249,1),(377,1),(413,1)}
       205:{1,3,4,5,7}:{(162,1),(165,1),(232,1),(249,1),(250,1),(251,1),(321,1),(330,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,4,7}:{(163,1),(164,1),(168,1),(233,1),(251,1),(379,1),(417,1)}
       207:{1,3,4,6}:{(164,1),(165,1),(169,1),(234,1),(251,1),(252,1),(323,1)}
       208:{2,4,5}:{(165,1),(252,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(246,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(251,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(252,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(179,1),(260,1)}
       218:{2,4,5,6}:{(176,1),(184,1),(262,1),(263,1),(275,1)}
       219:{2,4,6,7}:{(175,1),(176,1),(178,1),(185,1),(262,1),(264,1),(406,1)}
       220:{3,4,6}:{(176,1),(177,1),(263,1)}
       221:{2,3,4,5,7}:{(177,1),(180,1),(187,1),(265,1),(266,1),(267,1),(294,1),(344,1),(406,1),(407,1)}
       222:{3,4,7}:{(178,1),(179,1),(260,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(189,1),(261,1),(267,1),(268,1),(296,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(268,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(188,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(189,1),(261,1),(272,1),(273,1),(275,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(185,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,5,6}:{(184,1),(186,1),(202,1),(263,1),(274,1),(275,1)}
       230:{1,3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(203,1),(264,1),(274,1),(276,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(275,1),(277,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(277,1),(279,1),(354,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(279,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(279,1)}
       235:{1,2,4,5}:{(190,1),(197,1),(208,1),(269,1),(280,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(276,1),(282,1),(300,1),(394,1)}
       237:{1,3,6}:{(192,1),(193,1),(277,1),(283,1)}
       238:{1,2,5,7}:{(193,1),(194,1),(197,1),(283,1)}
       239:{1,2,3,7}:{(194,1),(198,1),(359,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(279,1),(282,1),(285,1),(354,1),(359,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(212,1),(280,1),(283,1),(285,1),(341,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(281,1),(286,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,4,5,6}:{(202,1),(288,1),(289,1),(421,1)}
       246:{3,5,7}:{(201,1),(202,1),(203,1)}
       247:{2,3,5,6}:{(202,1),(204,1),(275,1),(289,1),(290,1),(291,1)}
       248:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(276,1),(290,1),(292,1),(298,1),(399,1),(422,1)}
       249:{1,3,4,6}:{(204,1),(205,1),(277,1),(291,1),(293,1),(357,1),(402,1),(405,1)}
       250:{2,4,5,7}:{(205,1),(208,1),(293,1),(294,1),(295,1),(363,1),(406,1),(407,1)}
       251:{1,3,4,7}:{(206,1),(207,1),(211,1),(279,1),(295,1),(359,1)}
       252:{2,4,6}:{(207,1),(208,1),(212,1),(295,1),(296,1)}
       253:{2,3,5}:{(208,1),(281,1),(296,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(290,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(295,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(222,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(223,1),(227,1),(303,1),(304,1),(411,1)}
       262:{2,4,5,7}:{(218,1),(219,1),(228,1),(306,1),(317,1)}
       263:{3,5,6}:{(218,1),(220,1),(306,1)}
       264:{3,4,6,7}:{(219,1),(220,1),(222,1),(302,1),(306,1),(391,1),(417,1)}
       265:{2,3,4,6}:{(220,1),(221,1),(231,1),(307,1),(309,1),(333,1),(389,1)}
       266:{1,3,4,5,7}:{(221,1),(224,1),(232,1),(309,1),(310,1),(311,1),(321,1),(374,1),(415,1),(416,1),(425,1),(426,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(233,1),(303,1),(311,1),(335,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(234,1),(304,1),(311,1),(312,1),(323,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(233,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(234,1),(304,1),(316,1),(318,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(230,1),(246,1),(306,1),(317,1)}
       275:{2,5,6}:{(229,1),(231,1),(317,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(317,1),(319,1)}
       277:{1,4,6}:{(231,1),(232,1),(237,1),(318,1)}
       278:{1,2,4,5,7}:{(232,1),(235,1),(238,1),(250,1),(310,1),(320,1),(321,1),(322,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       279:{1,4,7}:{(233,1),(234,1),(240,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(241,1),(252,1),(312,1),(322,1),(323,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(323,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(240,1),(319,1),(325,1)}
       283:{1,2,6}:{(237,1),(238,1)}
       284:{1,2,3,5,7}:{(238,1),(239,1),(242,1),(321,1),(326,1),(327,1),(385,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(257,1),(322,1),(325,1),(371,1)}
       286:{1,2,4}:{(242,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(246,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(246,1),(254,1),(328,1),(425,1)}
       289:{2,4,5,6}:{(245,1),(247,1),(328,1),(329,1),(413,1)}
       290:{2,3,5,7}:{(246,1),(247,1),(248,1),(317,1),(328,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(318,1),(329,1),(330,1),(331,1),(387,1)}
       292:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(256,1),(319,1),(330,1),(332,1),(336,1),(383,1),(391,1),(415,1),(417,1)}
       293:{2,4,6}:{(249,1),(250,1),(331,1),(333,1)}
       294:{2,3,5,7}:{(250,1),(253,1),(321,1),(333,1),(334,1),(335,1),(390,1)}
       295:{2,4,7}:{(251,1),(252,1),(257,1),(335,1)}
       296:{2,3,6}:{(252,1),(253,1),(323,1),(335,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(330,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(267,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(268,1),(273,1),(340,1),(341,1)}
       305:{3,4,5,6}:{(263,1),(342,1),(343,1),(405,1)}
       306:{3,5,7}:{(262,1),(263,1),(264,1)}
       307:{2,3,5,6}:{(263,1),(265,1),(275,1),(343,1),(344,1),(345,1)}
       308:{2,3,4,6,7}:{(264,1),(265,1),(267,1),(276,1),(339,1),(344,1),(346,1),(365,1),(392,1),(406,1)}
       309:{1,3,4,6}:{(265,1),(266,1),(277,1),(345,1),(347,1),(357,1),(402,1),(421,1)}
       310:{2,4,5,7}:{(266,1),(269,1),(347,1),(348,1),(349,1),(397,1),(422,1),(423,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(279,1),(340,1),(349,1),(359,1)}
       312:{2,4,6}:{(268,1),(269,1),(341,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(281,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(279,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(276,1),(354,1)}
       318:{1,5,6}:{(275,1),(277,1),(354,1)}
       319:{1,4,6,7}:{(276,1),(277,1),(279,1),(282,1),(354,1)}
       320:{1,2,4,6}:{(277,1),(278,1),(283,1),(293,1),(347,1),(355,1),(357,1),(402,1)}
       321:{1,3,5,7}:{(278,1),(281,1),(294,1),(348,1),(357,1),(358,1),(359,1),(403,1)}
       322:{1,2,4,7}:{(279,1),(280,1),(285,1),(295,1),(349,1),(359,1)}
       323:{1,3,6}:{(280,1),(281,1),(296,1),(350,1),(359,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(285,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(283,1),(284,1),(357,1),(360,1)}
       327:{1,2,4,7}:{(284,1),(286,1),(358,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(290,1),(298,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(289,1),(291,1),(361,1),(362,1),(402,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(354,1),(361,1),(363,1),(404,1)}
       331:{2,5,6}:{(291,1),(293,1),(363,1)}
       332:{2,4,6,7}:{(292,1),(293,1),(295,1),(300,1),(363,1),(365,1),(406,1)}
       333:{2,3,6}:{(293,1),(294,1),(357,1)}
       334:{2,3,4,7}:{(294,1),(297,1),(358,1),(366,1),(406,1)}
       335:{2,3,7}:{(295,1),(296,1),(359,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(363,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(306,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(311,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(312,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(306,1),(368,1),(372,1),(417,1)}
       343:{2,4,5,6}:{(305,1),(307,1),(372,1),(373,1),(389,1)}
       344:{2,3,5,7}:{(306,1),(307,1),(308,1),(317,1),(372,1),(374,1)}
       345:{1,3,5,6}:{(307,1),(309,1),(318,1),(373,1),(374,1),(375,1),(411,1)}
       346:{1,3,4,6,7}:{(308,1),(309,1),(311,1),(319,1),(370,1),(374,1),(376,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       347:{2,4,6}:{(309,1),(310,1),(375,1),(377,1)}
       348:{2,3,5,7}:{(310,1),(313,1),(321,1),(377,1),(378,1),(379,1),(414,1)}
       349:{2,4,7}:{(311,1),(312,1),(371,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(323,1),(379,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(319,1)}
       355:{1,2,5,6}:{(318,1),(320,1),(331,1),(375,1),(381,1),(382,1),(385,1)}
       356:{1,2,4,6,7}:{(319,1),(320,1),(322,1),(325,1),(332,1),(376,1),(381,1),(383,1),(415,1)}
       357:{1,3,6}:{(320,1),(321,1),(333,1),(377,1)}
       358:{1,3,4,7}:{(321,1),(324,1),(327,1),(334,1),(378,1),(384,1),(415,1)}
       359:{1,3,7}:{(322,1),(323,1),(335,1),(379,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(336,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(331,1),(386,1),(387,1),(389,1)}
       363:{2,5,7}:{(330,1),(331,1),(332,1)}
       364:{2,3,5,6}:{(331,1),(333,1),(382,1),(387,1),(388,1),(389,1),(390,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(335,1),(383,1),(388,1),(391,1)}
       366:{2,3,4,6}:{(333,1),(334,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(344,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(349,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(344,1),(392,1),(395,1),(406,1)}
       373:{1,4,5,6}:{(343,1),(345,1),(395,1),(396,1),(402,1)}
       374:{1,3,5,7}:{(344,1),(345,1),(346,1),(354,1),(395,1),(397,1),(420,1)}
       375:{2,5,6}:{(345,1),(347,1),(397,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(349,1),(394,1),(397,1),(399,1),(422,1)}
       377:{2,3,6}:{(347,1),(348,1),(357,1)}
       378:{2,3,4,7}:{(348,1),(351,1),(358,1),(400,1),(422,1)}
       379:{2,3,7}:{(349,1),(350,1),(359,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(356,1),(363,1),(397,1),(401,1)}
       382:{1,3,5,6}:{(355,1),(357,1),(364,1),(398,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(356,1),(357,1),(359,1),(365,1),(399,1),(401,1)}
       384:{1,3,4,6}:{(357,1),(358,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(367,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{2,3,5,7}:{(363,1),(364,1),(365,1),(401,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(374,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(415,1)}
       396:{2,4,5,6}:{(373,1),(375,1),(410,1),(411,1),(413,1)}
       397:{2,5,7}:{(374,1),(375,1),(376,1)}
       398:{2,3,5,6}:{(375,1),(377,1),(382,1),(411,1),(412,1),(413,1),(414,1)}
       399:{2,3,6,7}:{(376,1),(377,1),(379,1),(383,1),(412,1),(424,1)}
       400:{2,3,4,6}:{(377,1),(378,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(388,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(391,1),(417,1)}
       405:{3,4,6}:{(387,1),(389,1),(417,1),(418,1)}
       406:{2,4,7}:{(388,1),(389,1),(415,1),(417,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(397,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(397,1),(419,1),(420,1),(422,1)}
       411:{3,5,6}:{(396,1),(420,1),(421,1)}
       412:{2,3,5,7}:{(397,1),(398,1),(399,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(398,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(411,1),(424,1),(425,1)}
       421:{3,4,6}:{(411,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

1752 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1753 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(91,1),(98,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(133,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(67,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(68,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(26,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(74,1),(75,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(116,1),(122,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(110,1),(150,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(13,1),(15,1),(39,1),(42,1),(43,1),(44,1),(91,1),(92,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(42,1),(45,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(46,1),(47,1),(83,1),(91,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,4,7}:{(15,1),(42,1),(50,1),(52,1),(100,1)}
        30:{2,3,5}:{(15,1),(43,1),(49,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(91,1),(137,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(131,1),(161,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(133,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(110,1),(111,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(29,1),(60,1),(65,1),(67,1),(116,1)}
        43:{1,3,5}:{(23,1),(26,1),(30,1),(61,1),(64,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(65,1),(68,1)}
        46:{1,2,5,6}:{(26,1),(27,1),(32,1),(66,1),(68,1),(69,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(69,1),(107,1),(116,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(74,1)}
        49:{2,4,5}:{(30,1),(64,1),(72,1),(74,1)}
        50:{2,3,5,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(32,1),(66,1),(74,1),(75,1),(76,1),(77,1),(123,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(74,1),(77,1),(78,1),(123,1),(156,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(116,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(149,1),(170,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(42,1),(85,1),(87,1),(133,1)}
        61:{2,3,5}:{(39,1),(43,1),(84,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(91,1),(131,1)}
        64:{1,4,5}:{(43,1),(49,1),(84,1),(91,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(45,1),(50,1),(85,1),(90,1),(92,1)}
        66:{1,3,5,6}:{(43,1),(44,1),(46,1),(51,1),(86,1),(91,1),(92,1),(93,1),(137,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(47,1),(54,1),(93,1),(94,1),(129,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(100,1)}
        72:{3,4,5}:{(49,1),(98,1)}
        73:{2,4,5,7}:{(49,1),(50,1),(90,1),(97,1),(99,1),(100,1),(143,1)}
        74:{2,4,6}:{(49,1),(51,1),(91,1),(98,1),(100,1)}
        75:{2,3,6}:{(50,1),(92,1),(99,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(54,1),(93,1),(100,1),(101,1),(102,1),(143,1)}
        77:{3,5,6}:{(53,1),(98,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(100,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(110,1)}
        85:{2,3,5,7}:{(60,1),(61,1),(65,1),(109,1),(111,1)}
        86:{2,3,5,6}:{(61,1),(62,1),(66,1),(106,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(116,1),(149,1)}
        90:{1,4,5,7}:{(64,1),(65,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(64,1),(66,1),(74,1),(110,1),(116,1)}
        92:{1,3,6}:{(65,1),(68,1),(75,1),(111,1),(115,1)}
        93:{1,3,5,7}:{(66,1),(67,1),(69,1),(76,1),(112,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(74,1),(113,1),(118,1),(119,1),(123,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,5,7}:{(72,1),(73,1),(121,1),(122,1),(157,1)}
        98:{3,4,6}:{(72,1),(74,1),(77,1),(122,1)}
        99:{2,4,6}:{(73,1),(75,1),(115,1),(121,1),(123,1)}
       100:{2,4,7}:{(74,1),(76,1),(116,1),(122,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(124,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(122,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(170,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(131,1)}
       109:{2,4,5,7}:{(84,1),(85,1),(90,1),(130,1),(132,1),(133,1),(163,1)}
       110:{2,4,6}:{(84,1),(86,1),(91,1),(131,1),(133,1)}
       111:{2,3,6}:{(85,1),(92,1),(132,1)}
       112:{2,3,5,7}:{(86,1),(87,1),(93,1),(129,1),(133,1),(134,1),(159,1),(163,1)}
       113:{1,4,5,6}:{(88,1),(91,1),(95,1),(128,1),(135,1),(137,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,6}:{(90,1),(92,1),(99,1),(132,1),(137,1)}
       116:{1,4,7}:{(91,1),(93,1),(100,1),(133,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(98,1),(139,1),(141,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(100,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,6}:{(97,1),(99,1),(141,1)}
       122:{3,4,7}:{(98,1),(100,1),(102,1)}
       123:{2,5,6}:{(99,1),(137,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(110,1),(113,1),(145,1),(146,1),(150,1),(169,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,5,7}:{(108,1),(109,1),(148,1),(149,1),(170,1)}
       131:{3,4,6}:{(108,1),(110,1),(145,1),(149,1)}
       132:{2,4,6}:{(109,1),(111,1),(115,1),(148,1),(150,1)}
       133:{2,4,7}:{(110,1),(112,1),(116,1),(149,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(151,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(116,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,5,6}:{(115,1),(123,1),(150,1),(153,1)}
       138:{1,4,6,7}:{(115,1),(116,1),(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(122,1),(154,1),(157,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,5,6}:{(121,1),(123,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(121,1),(122,1),(124,1),(125,1),(157,1),(158,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(157,1),(158,1)}
       145:{3,5,6}:{(128,1),(131,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(133,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,6}:{(130,1),(132,1),(161,1)}
       149:{3,4,7}:{(131,1),(133,1),(159,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(149,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(148,1),(150,1),(169,1),(170,1)}
       162:{3,4,6,7}:{(148,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(157,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1754 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1755 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1756 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1757 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(26,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(108,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(128,1),(161,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(90,1),(97,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(131,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(27,1),(71,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(26,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(108,1),(150,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(146,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(78,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(115,1),(120,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(12,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(90,1),(93,1)}
        26:{1,2,5}:{(12,1),(43,1)}
        27:{1,2,4,7}:{(12,1),(13,1),(44,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(45,1),(48,1),(49,1),(88,1),(90,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(90,1),(137,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(131,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,5}:{(18,1),(43,1),(54,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(56,1),(60,1),(103,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(108,1),(111,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,5}:{(25,1),(26,1),(33,1),(61,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(27,1),(34,1),(62,1),(67,1),(71,1),(115,1)}
        45:{1,2,5,6}:{(26,1),(29,1),(35,1),(66,1),(68,1),(69,1),(112,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(68,1),(71,1),(113,1),(115,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(78,1),(126,1),(156,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(115,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(168,1)}
        54:{2,4,5}:{(33,1),(65,1),(72,1),(78,1)}
        55:{2,3,5,6}:{(33,1),(35,1),(39,1),(66,1),(73,1),(78,1),(80,1),(81,1),(126,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(67,1),(79,1),(81,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(78,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,5}:{(41,1),(43,1),(85,1)}
        62:{2,3,4,7}:{(41,1),(44,1),(87,1),(89,1),(131,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(43,1),(54,1),(85,1),(90,1)}
        66:{1,3,5,6}:{(43,1),(45,1),(48,1),(55,1),(86,1),(90,1),(92,1),(93,1),(137,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(46,1),(56,1),(87,1),(91,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(49,1),(57,1),(92,1),(94,1),(134,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(90,1),(95,1),(96,1),(128,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(97,1)}
        73:{3,5,6}:{(50,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(103,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,6}:{(54,1),(55,1),(90,1),(97,1),(103,1)}
        79:{2,4,5,7}:{(54,1),(56,1),(91,1),(98,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,7}:{(55,1),(57,1),(60,1),(92,1),(99,1),(103,1),(105,1),(144,1)}
        81:{2,3,6}:{(56,1),(93,1),(104,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(103,1),(106,1)}
        85:{2,4,5}:{(61,1),(65,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(61,1),(64,1),(66,1),(108,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(109,1),(111,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,6}:{(65,1),(66,1),(78,1),(108,1),(115,1)}
        91:{1,4,5,7}:{(65,1),(67,1),(79,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(66,1),(68,1),(71,1),(80,1),(110,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(81,1),(111,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(115,1),(118,1),(146,1)}
        97:{3,4,6}:{(72,1),(73,1),(78,1),(120,1)}
        98:{3,4,5,7}:{(72,1),(79,1),(120,1),(121,1),(155,1)}
        99:{3,5,7}:{(73,1),(74,1),(120,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(78,1),(83,1),(114,1),(119,1),(124,1),(126,1)}
       103:{2,4,7}:{(78,1),(80,1),(115,1),(120,1)}
       104:{2,4,6}:{(79,1),(81,1),(116,1),(121,1),(126,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(125,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(128,1)}
       108:{2,4,6}:{(85,1),(86,1),(90,1),(128,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(87,1),(91,1),(129,1),(131,1),(132,1),(163,1)}
       110:{2,3,5,7}:{(86,1),(89,1),(92,1),(131,1),(133,1),(134,1),(159,1),(163,1)}
       111:{2,3,6}:{(87,1),(93,1),(132,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(90,1),(95,1),(102,1),(130,1),(135,1),(137,1)}
       115:{1,4,7}:{(90,1),(92,1),(103,1),(131,1)}
       116:{1,4,6}:{(91,1),(93,1),(104,1),(132,1),(137,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(136,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(97,1),(102,1),(139,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(103,1)}
       121:{3,4,6}:{(98,1),(104,1),(141,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(103,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(105,1),(136,1),(140,1),(144,1)}
       126:{2,5,6}:{(104,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1),(146,1)}
       129:{3,4,5,7}:{(107,1),(109,1),(146,1),(147,1),(168,1)}
       130:{2,4,5,6}:{(108,1),(112,1),(114,1),(145,1),(148,1),(150,1),(169,1)}
       131:{2,4,7}:{(108,1),(110,1),(115,1),(146,1)}
       132:{2,4,6}:{(109,1),(111,1),(116,1),(147,1),(150,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(149,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,4,6,7}:{(115,1),(116,1),(117,1),(125,1),(149,1),(153,1)}
       137:{1,5,6}:{(116,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(120,1),(124,1),(154,1),(155,1)}
       140:{3,4,6,7}:{(120,1),(121,1),(122,1),(125,1),(155,1),(157,1)}
       141:{3,5,6}:{(121,1),(126,1),(155,1),(156,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(155,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(155,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{3,4,7}:{(128,1),(131,1),(159,1)}
       147:{3,4,6}:{(129,1),(132,1),(161,1)}
       148:{2,4,5,7}:{(130,1),(131,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(133,1),(136,1),(160,1),(163,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{3,4,6,7}:{(146,1),(147,1),(149,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(147,1),(150,1),(168,1),(169,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(168,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1758 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1759 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1760 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(92,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(43,1),(49,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(70,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(112,1),(139,1),(143,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(25,1),(36,1),(62,1),(75,1),(105,1),(106,1),(112,1),(116,1),(118,1),(139,1),(143,1),(145,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(92,1),(94,1),(132,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(13,1),(14,1),(91,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(93,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(14,1),(18,1),(19,1),(43,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(156,1)}
        12:{1,3,5,6}:{(5,1),(16,1),(21,1),(22,1),(95,1),(124,1),(132,1),(138,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,4,5,7}:{(7,1),(10,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(11,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(12,1),(28,1),(29,1),(114,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{2,4,5,6}:{(10,1),(25,1),(31,1),(62,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(31,1)}
        20:{2,3,4,6,7}:{(11,1),(27,1),(33,1),(34,1),(66,1),(69,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        21:{1,3,4,6}:{(12,1),(28,1),(35,1),(36,1),(145,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(29,1),(36,1),(37,1),(62,1),(74,1),(104,1),(116,1),(119,1),(143,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(134,1)}
        25:{1,4,5,6}:{(14,1),(18,1),(38,1),(41,1),(84,1),(91,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(19,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(21,1),(45,1),(129,1),(134,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(22,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        32:{3,4,5,7}:{(19,1),(48,1),(50,1),(156,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(43,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(44,1),(51,1),(52,1),(88,1),(89,1),(91,1),(124,1),(129,1),(132,1),(134,1),(159,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(53,1),(95,1),(137,1),(160,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(45,1),(53,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(46,1),(55,1),(56,1),(84,1),(95,1),(98,1),(124,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(73,1),(99,1),(104,1),(115,1),(150,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(31,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(32,1),(35,1),(58,1),(61,1),(63,1),(71,1),(101,1),(107,1),(114,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(36,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(37,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,3,5,6}:{(31,1),(33,1),(62,1),(69,1),(70,1),(104,1)}
        50:{2,4,5,7}:{(32,1),(33,1),(69,1),(71,1),(142,1),(166,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(64,1),(70,1),(71,1),(72,1),(114,1),(169,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(110,1),(112,1),(115,1),(143,1),(168,1)}
        53:{2,4,5}:{(35,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        54:{2,3,4,6}:{(36,1),(66,1),(74,1),(76,1),(104,1),(119,1),(150,1),(153,1),(165,1),(168,1)}
        55:{1,4,6}:{(36,1),(37,1),(67,1),(75,1)}
        56:{1,2,5,6}:{(37,1),(68,1),(77,1),(116,1),(143,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(134,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(48,1),(78,1),(83,1),(91,1),(120,1),(124,1),(132,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(53,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(52,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(54,1),(85,1),(89,1),(131,1),(134,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(55,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(56,1),(90,1),(127,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,3,5,6}:{(49,1),(51,1),(84,1),(91,1),(92,1),(124,1),(132,1)}
        71:{1,4,5,7}:{(50,1),(51,1),(91,1),(93,1),(129,1),(160,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(88,1),(94,1),(131,1),(132,1),(158,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,4,5}:{(53,1),(55,1),(95,1),(164,1)}
        76:{1,3,4,6}:{(54,1),(55,1),(89,1),(95,1),(97,1),(98,1),(124,1),(137,1),(138,1),(164,1),(172,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(90,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(115,1),(151,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(74,1),(104,1),(107,1),(114,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(75,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(72,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(73,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(76,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(77,1),(110,1),(111,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,5,6}:{(70,1),(72,1),(112,1),(143,1)}
        93:{2,4,5,7}:{(71,1),(72,1),(112,1),(114,1),(115,1),(151,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(109,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(116,1),(174,1)}
        96:{1,2,4,5}:{(75,1),(77,1),(116,1),(117,1),(153,1)}
        97:{2,4,6}:{(76,1),(110,1),(116,1),(119,1),(143,1),(153,1)}
        98:{1,3,6}:{(77,1),(111,1),(117,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(132,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(92,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(95,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(93,1),(96,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(94,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(97,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(98,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{2,3,5,6}:{(92,1),(94,1),(126,1),(132,1),(133,1),(158,1),(163,1),(173,1)}
       114:{3,5,7}:{(93,1),(132,1),(134,1),(163,1)}
       115:{2,4,7}:{(94,1),(129,1),(133,1),(134,1)}
       116:{2,5}:{(95,1),(97,1)}
       117:{1,3,5}:{(96,1),(98,1),(136,1),(137,1)}
       118:{1,2,4,6}:{(97,1),(130,1),(135,1),(138,1),(157,1),(164,1),(172,1)}
       119:{2,3,6}:{(97,1),(98,1),(131,1),(136,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(112,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(113,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(116,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(114,1),(117,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(115,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(118,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(119,1),(149,1)}
       132:{3,6}:{(112,1),(114,1)}
       133:{2,4,6}:{(113,1),(115,1),(145,1),(150,1),(151,1)}
       134:{3,4,7}:{(114,1),(115,1),(150,1)}
       135:{1,2,5}:{(116,1),(118,1),(152,1),(174,1)}
       136:{2,3,5}:{(116,1),(117,1),(119,1),(152,1),(153,1)}
       137:{1,3,4}:{(117,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(149,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(132,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(133,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(135,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(137,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(138,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(133,1),(160,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(138,1),(164,1)}
       153:{2,4}:{(136,1),(137,1),(164,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(153,1),(168,1),(170,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(164,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1761 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(32,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(20,1),(21,1),(40,1),(45,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(20,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{1,2,4,5}:{(12,1),(31,1),(32,1),(60,1),(82,1),(90,1)}
        20:{2,4,6}:{(10,1),(12,1),(23,1),(33,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(11,1),(24,1),(34,1),(56,1),(62,1),(83,1)}
        22:{2,3,5}:{(12,1),(32,1),(33,1),(35,1)}
        23:{2,5,6}:{(13,1),(20,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(21,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(36,1),(45,1),(46,1),(66,1),(75,1)}
        32:{1,3,5}:{(19,1),(22,1),(44,1),(45,1),(47,1)}
        33:{2,3,6}:{(20,1),(22,1),(45,1),(49,1)}
        34:{2,4,7}:{(20,1),(21,1),(38,1),(49,1)}
        35:{2,3,4}:{(22,1),(47,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(33,1),(50,1),(52,1),(53,1),(63,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(34,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(90,1)}
        45:{1,3,6}:{(31,1),(32,1),(33,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(31,1),(34,1),(51,1),(62,1),(83,1),(91,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(52,1),(61,1),(63,1),(64,1),(93,1)}
        49:{2,3,7}:{(33,1),(34,1),(62,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(45,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(46,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(49,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(45,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(48,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        62:{1,3,7}:{(45,1),(46,1),(49,1),(76,1)}
        63:{2,3,5}:{(48,1),(69,1),(77,1)}
        64:{2,3,4,7}:{(48,1),(49,1),(70,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(62,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(63,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(61,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(62,1),(91,1)}
        77:{1,3,5}:{(61,1),(63,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1762 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(89,1),(162,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(25,1),(29,1),(60,1),(136,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(122,1),(202,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(36,1),(51,1),(111,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(176,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(42,1),(48,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(241,1),(264,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(96,1),(117,1),(237,1),(250,1),(259,1),(265,1),(301,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(78,1),(148,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(68,1),(78,1),(122,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(25,1),(217,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(23,1),(26,1),(32,1),(63,1),(72,1),(81,1),(125,1),(140,1),(218,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(27,1),(202,1),(284,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,3,5,6,7}:{(6,1),(25,1),(29,1),(30,1),(68,1),(75,1),(78,1)}
        16:{2,4,5,6}:{(7,1),(27,1),(31,1),(32,1),(232,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(33,1),(153,1),(232,1),(269,1),(280,1),(310,1)}
        18:{1,3,4,5,7}:{(8,1),(33,1),(34,1),(74,1),(75,1),(84,1),(130,1),(145,1),(152,1),(226,1),(233,1),(279,1)}
        19:{3,4,6,7}:{(9,1),(35,1),(36,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(36,1),(37,1),(42,1),(86,1)}
        21:{3,4,5,6}:{(35,1),(38,1),(191,1),(294,1)}
        22:{2,3,4,5,7}:{(39,1),(40,1),(47,1),(86,1),(96,1),(168,1),(187,1),(250,1),(289,1),(295,1),(311,1)}
        23:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(35,1),(41,1),(49,1),(87,1),(97,1),(107,1),(158,1),(173,1),(176,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(41,1),(42,1),(43,1),(99,1)}
        25:{1,5,6,7}:{(11,1),(43,1),(252,1)}
        26:{2,4,5,6}:{(12,1),(41,1),(45,1),(46,1),(103,1),(181,1),(253,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(16,1),(48,1),(49,1),(259,1)}
        28:{2,3,4,6,7}:{(14,1),(17,1),(42,1),(48,1),(50,1),(96,1),(161,1),(175,1),(188,1),(259,1)}
        29:{1,4,6,7}:{(14,1),(15,1),(49,1),(51,1)}
        30:{2,5,6,7}:{(15,1),(51,1),(99,1),(106,1)}
        31:{2,3,5,6}:{(16,1),(17,1),(48,1),(53,1),(241,1),(253,1)}
        32:{1,4,5,6}:{(16,1),(49,1),(53,1),(54,1),(193,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(53,1),(55,1),(114,1),(115,1),(193,1),(299,1)}
        34:{2,4,5,7}:{(18,1),(55,1),(57,1),(105,1),(106,1),(170,1),(186,1),(194,1)}
        35:{3,4,5,7}:{(19,1),(21,1),(58,1),(148,1),(303,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(58,1),(60,1)}
        37:{1,3,5,6,7}:{(20,1),(25,1),(60,1),(61,1),(68,1),(119,1),(122,1)}
        38:{2,4,5,6}:{(21,1),(58,1),(62,1),(63,1),(273,1)}
        39:{2,3,4,6}:{(22,1),(62,1),(64,1),(207,1),(228,1),(273,1),(280,1),(314,1)}
        40:{1,3,4,5,7}:{(22,1),(64,1),(65,1),(74,1),(119,1),(128,1),(130,1),(199,1),(206,1),(267,1),(274,1),(279,1)}
        41:{2,4,5,7}:{(23,1),(24,1),(26,1),(66,1),(67,1),(131,1),(214,1),(217,1)}
        42:{2,3,6,7}:{(24,1),(66,1),(68,1),(78,1),(122,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(67,1),(68,1)}
        44:{1,2,5,6,7}:{(25,1),(30,1),(61,1),(69,1),(70,1),(133,1),(143,1),(197,1),(217,1),(281,1),(287,1),(306,1)}
        45:{2,3,5,6}:{(26,1),(66,1),(71,1),(72,1),(81,1),(125,1)}
        46:{1,4,5,6}:{(26,1),(67,1),(72,1),(221,1),(281,1)}
        47:{2,3,4,5}:{(71,1),(74,1),(152,1),(206,1),(222,1),(223,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(31,1),(75,1),(202,1),(217,1)}
        49:{1,4,5,7}:{(27,1),(29,1),(32,1),(75,1),(76,1),(226,1)}
        50:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(68,1),(75,1),(77,1),(78,1),(130,1),(145,1),(146,1),(216,1),(226,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(76,1),(78,1)}
        52:{2,3,5,6,7}:{(30,1),(70,1),(78,1),(79,1),(134,1),(144,1),(148,1),(217,1),(231,1),(266,1),(306,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(33,1),(75,1),(80,1),(81,1),(281,1)}
        54:{2,4,5,6}:{(32,1),(76,1),(80,1),(81,1),(151,1)}
        55:{2,4,6}:{(33,1),(34,1),(80,1),(83,1)}
        56:{1,2,4,5,7}:{(34,1),(82,1),(84,1),(141,1),(143,1),(156,1),(211,1),(226,1),(233,1),(234,1),(279,1),(285,1),(308,1)}
        57:{2,3,5,7}:{(34,1),(83,1),(84,1),(85,1),(142,1),(155,1),(212,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(38,1),(86,1),(87,1),(289,1)}
        59:{2,3,4,6,7}:{(36,1),(39,1),(42,1),(86,1),(88,1),(96,1),(110,1),(175,1),(238,1),(289,1)}
        60:{1,4,6,7}:{(36,1),(37,1),(87,1),(89,1)}
        61:{2,5,6,7}:{(37,1),(89,1),(99,1),(157,1)}
        62:{2,3,5,6}:{(38,1),(39,1),(86,1),(91,1),(191,1),(253,1)}
        63:{1,4,5,6}:{(38,1),(87,1),(91,1),(92,1),(243,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(91,1),(93,1),(165,1),(166,1),(243,1),(299,1)}
        65:{2,4,5,7}:{(40,1),(93,1),(95,1),(105,1),(157,1),(170,1),(236,1),(244,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(107,1),(158,1)}
        67:{1,4,5,7}:{(41,1),(43,1),(46,1),(97,1),(249,1),(252,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(97,1),(99,1)}
        69:{1,2,4,6,7}:{(43,1),(44,1),(51,1),(89,1),(98,1),(99,1),(100,1),(101,1),(175,1),(299,1),(302,1),(312,1),(313,1)}
        70:{1,3,5,6,7}:{(44,1),(52,1),(90,1),(100,1),(101,1),(174,1),(176,1),(185,1),(235,1),(252,1),(263,1),(293,1)}
        71:{2,3,4,6}:{(45,1),(47,1),(96,1),(102,1),(114,1),(165,1),(181,1),(254,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(97,1),(102,1),(103,1)}
        73:{1,2,4,5,6}:{(46,1),(54,1),(92,1),(98,1),(103,1),(104,1),(112,1),(163,1),(177,1),(178,1),(181,1),(193,1),(243,1),(253,1),(257,1),(265,1),(295,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,4,5}:{(47,1),(102,1),(105,1),(183,1),(257,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(53,1),(106,1),(107,1),(252,1)}
        76:{2,4,5,7}:{(49,1),(51,1),(54,1),(106,1),(107,1),(186,1)}
        77:{2,4,6,7}:{(50,1),(55,1),(99,1),(106,1),(109,1),(170,1),(186,1)}
        78:{3,6,7}:{(51,1),(107,1)}
        79:{2,4,6,7}:{(52,1),(101,1),(110,1),(111,1),(186,1),(261,1),(289,1),(312,1)}
        80:{2,5,6}:{(53,1),(55,1),(106,1)}
        81:{3,5,6}:{(54,1),(107,1),(114,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(112,1),(115,1),(193,1),(195,1),(299,1),(302,1),(313,1)}
        83:{2,3,6}:{(55,1),(57,1),(115,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(115,1),(117,1),(118,1),(183,1),(196,1),(247,1),(301,1)}
        85:{2,3,4,7}:{(57,1),(116,1),(118,1),(184,1),(186,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(62,1),(119,1),(148,1),(217,1)}
        87:{1,4,5,7}:{(58,1),(60,1),(63,1),(119,1),(120,1),(267,1)}
        88:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(68,1),(119,1),(121,1),(122,1),(130,1),(199,1),(200,1),(216,1),(267,1)}
        89:{2,4,6,7}:{(60,1),(61,1),(120,1),(122,1)}
        90:{2,3,5,6,7}:{(61,1),(70,1),(122,1),(123,1),(134,1),(198,1),(202,1),(217,1),(225,1),(272,1),(287,1),(310,1)}
        91:{1,3,5,6}:{(62,1),(63,1),(64,1),(119,1),(124,1),(125,1),(281,1)}
        92:{2,4,5,6}:{(63,1),(120,1),(124,1),(125,1),(205,1)}
        93:{2,4,6}:{(64,1),(65,1),(124,1),(127,1)}
        94:{1,2,4,5,7}:{(65,1),(126,1),(128,1),(141,1),(197,1),(210,1),(211,1),(267,1),(274,1),(275,1),(279,1),(304,1),(308,1)}
        95:{2,3,5,7}:{(65,1),(127,1),(128,1),(129,1),(142,1),(209,1),(212,1)}
        96:{2,3,4,7}:{(66,1),(71,1),(130,1),(145,1),(199,1),(214,1),(276,1)}
        97:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(130,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(69,1),(73,1),(76,1),(120,1),(131,1),(132,1),(136,1),(143,1),(197,1),(211,1),(214,1),(217,1),(226,1),(267,1),(279,1),(285,1),(304,1),(308,1)}
        99:{2,6,7}:{(68,1),(131,1)}
       100:{1,3,6,7}:{(69,1),(78,1),(122,1),(132,1),(134,1),(309,1),(310,1),(314,1)}
       101:{1,4,6,7}:{(70,1),(79,1),(123,1),(136,1),(226,1),(267,1),(286,1),(305,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(74,1),(130,1),(137,1),(219,1),(221,1)}
       103:{2,5,6}:{(72,1),(131,1),(137,1)}
       104:{1,3,5,6}:{(73,1),(81,1),(125,1),(132,1),(139,1),(140,1),(219,1),(283,1),(288,1),(307,1),(309,1),(310,1),(314,1)}
       105:{2,4,5}:{(74,1),(137,1),(142,1)}
       106:{2,5,7}:{(75,1),(77,1),(80,1)}
       107:{3,5,7}:{(76,1),(78,1),(81,1),(145,1)}
       108:{1,2,4,6,7}:{(77,1),(82,1),(133,1),(143,1),(146,1),(211,1),(216,1),(226,1),(229,1)}
       109:{2,3,6,7}:{(77,1),(78,1),(83,1),(144,1),(146,1),(212,1)}
       110:{3,4,6,7}:{(78,1),(79,1),(145,1),(148,1),(228,1),(303,1),(314,1)}
       111:{2,4,5,7}:{(79,1),(136,1),(148,1),(149,1),(217,1)}
       112:{1,2,5,6}:{(80,1),(82,1),(143,1),(150,1),(234,1),(281,1),(287,1)}
       113:{2,3,5,6}:{(80,1),(81,1),(83,1),(144,1),(150,1),(151,1),(155,1)}
       114:{3,4,6}:{(81,1),(145,1),(151,1),(152,1)}
       115:{1,3,6}:{(82,1),(83,1),(84,1),(153,1),(310,1)}
       116:{2,3,4,6}:{(83,1),(85,1),(151,1),(154,1),(155,1)}
       117:{2,3,5,7}:{(84,1),(153,1),(156,1),(223,1),(234,1),(276,1),(308,1)}
       118:{1,3,4,7}:{(84,1),(85,1),(154,1),(156,1),(224,1),(226,1),(284,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(157,1),(158,1),(252,1)}
       120:{2,4,5,7}:{(87,1),(89,1),(92,1),(157,1),(158,1),(236,1)}
       121:{2,4,6,7}:{(88,1),(93,1),(99,1),(157,1),(160,1),(170,1),(236,1)}
       122:{3,6,7}:{(89,1),(158,1)}
       123:{2,4,6,7}:{(90,1),(101,1),(161,1),(162,1),(236,1),(259,1),(291,1),(302,1)}
       124:{2,5,6}:{(91,1),(93,1),(157,1)}
       125:{3,5,6}:{(92,1),(158,1),(165,1)}
       126:{1,2,4,6}:{(93,1),(94,1),(163,1),(166,1),(243,1),(245,1),(299,1),(312,1),(313,1)}
       127:{2,3,6}:{(93,1),(95,1),(166,1)}
       128:{1,3,5,7}:{(94,1),(95,1),(166,1),(168,1),(169,1),(183,1),(246,1),(247,1),(311,1)}
       129:{2,3,4,7}:{(95,1),(167,1),(169,1),(184,1),(236,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(102,1),(170,1),(247,1),(249,1)}
       131:{2,5,7}:{(97,1),(99,1),(103,1),(170,1)}
       132:{1,3,5,7}:{(98,1),(100,1),(104,1),(107,1),(158,1),(172,1),(173,1),(247,1),(301,1),(311,1)}
       133:{1,2,6,7}:{(99,1),(171,1),(174,1),(313,1)}
       134:{2,3,6,7}:{(99,1),(100,1),(172,1),(174,1),(175,1),(298,1),(313,1)}
       135:{1,3,4,6,7}:{(100,1),(101,1),(110,1),(161,1),(173,1),(175,1),(176,1),(251,1)}
       136:{1,4,5,7}:{(101,1),(111,1),(162,1),(176,1),(177,1),(252,1)}
       137:{2,4,6}:{(102,1),(103,1),(105,1),(170,1),(179,1)}
       138:{1,2,5,6}:{(103,1),(171,1),(178,1),(180,1),(300,1),(313,1)}
       139:{2,3,5,6}:{(103,1),(104,1),(172,1),(179,1),(180,1),(181,1),(253,1),(254,1),(256,1),(298,1),(300,1),(313,1)}
       140:{1,3,4,6}:{(104,1),(114,1),(165,1),(173,1),(181,1),(182,1),(193,1),(243,1),(264,1),(294,1)}
       141:{1,2,4,5}:{(105,1),(178,1),(183,1),(257,1),(258,1),(300,1)}
       142:{2,3,5}:{(105,1),(179,1),(183,1),(184,1)}
       143:{1,2,5,7}:{(106,1),(108,1),(112,1),(185,1),(252,1),(262,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(109,1),(113,1),(185,1),(186,1)}
       145:{3,4,7}:{(107,1),(114,1),(186,1)}
       146:{1,3,6,7}:{(108,1),(109,1),(115,1),(185,1),(188,1),(247,1)}
       147:{2,3,4,6,7}:{(109,1),(110,1),(116,1),(175,1),(186,1),(189,1),(190,1),(248,1),(261,1),(298,1)}
       148:{3,5,7}:{(110,1),(111,1),(191,1)}
       149:{2,4,5,6}:{(111,1),(177,1),(191,1),(253,1),(261,1),(312,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(115,1),(185,1),(192,1),(193,1),(196,1)}
       151:{2,4,6}:{(113,1),(114,1),(186,1),(193,1),(194,1)}
       152:{3,4,5}:{(114,1),(194,1)}
       153:{2,3,6}:{(115,1),(117,1),(195,1),(313,1)}
       154:{1,3,4,6}:{(115,1),(116,1),(118,1),(193,1),(195,1),(196,1),(264,1)}
       155:{2,3,5}:{(116,1),(194,1),(196,1)}
       156:{2,4,7}:{(117,1),(118,1),(195,1),(258,1)}
       157:{2,5,7}:{(119,1),(121,1),(124,1)}
       158:{3,5,7}:{(120,1),(122,1),(125,1),(199,1)}
       159:{1,2,4,6,7}:{(121,1),(126,1),(133,1),(197,1),(200,1),(211,1),(216,1),(267,1),(270,1)}
       160:{2,3,6,7}:{(121,1),(122,1),(127,1),(198,1),(200,1),(212,1)}
       161:{3,4,6,7}:{(122,1),(123,1),(199,1),(202,1),(269,1),(284,1),(310,1)}
       162:{2,4,5,7}:{(123,1),(136,1),(202,1),(203,1),(217,1)}
       163:{1,2,5,6}:{(124,1),(126,1),(197,1),(204,1),(275,1),(281,1),(306,1)}
       164:{2,3,5,6}:{(124,1),(125,1),(127,1),(198,1),(204,1),(205,1),(209,1)}
       165:{3,4,6}:{(125,1),(199,1),(205,1),(206,1)}
       166:{1,3,6}:{(126,1),(127,1),(128,1),(207,1),(314,1)}
       167:{2,3,4,6}:{(127,1),(129,1),(205,1),(208,1),(209,1)}
       168:{2,3,5,7}:{(128,1),(207,1),(210,1),(223,1),(275,1),(276,1),(308,1)}
       169:{1,3,4,7}:{(128,1),(129,1),(208,1),(210,1),(224,1),(267,1),(303,1)}
       170:{2,4,7}:{(130,1),(131,1),(137,1),(212,1)}
       171:{1,2,5,7}:{(131,1),(133,1),(138,1),(211,1),(213,1),(308,1)}
       172:{2,3,5,7}:{(131,1),(132,1),(134,1),(139,1),(212,1),(213,1),(214,1),(217,1),(276,1),(308,1)}
       173:{1,3,4,7}:{(132,1),(140,1),(145,1),(199,1),(214,1),(226,1),(267,1),(284,1),(303,1)}
       174:{1,3,6,7}:{(133,1),(134,1),(213,1),(216,1),(309,1)}
       175:{2,4,6,7}:{(134,1),(135,1),(214,1),(216,1),(217,1),(280,1)}
       176:{1,3,5,7}:{(135,1),(136,1),(148,1),(202,1),(217,1),(218,1)}
       177:{1,4,5,6}:{(136,1),(149,1),(203,1),(218,1),(281,1),(286,1),(305,1)}
       178:{1,2,4,6}:{(137,1),(138,1),(141,1),(211,1),(219,1),(221,1),(282,1)}
       179:{2,3,6}:{(137,1),(142,1),(212,1),(219,1)}
       180:{1,3,5,6}:{(138,1),(139,1),(213,1),(219,1),(221,1),(281,1),(283,1),(309,1)}
       181:{2,4,6}:{(139,1),(140,1),(214,1),(221,1),(222,1)}
       182:{1,3,4,5}:{(140,1),(152,1),(206,1),(222,1),(233,1),(274,1),(283,1),(288,1),(307,1)}
       183:{1,3,5}:{(141,1),(142,1),(219,1),(223,1),(224,1)}
       184:{2,3,4}:{(142,1),(224,1)}
       185:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(225,1),(226,1)}
       186:{2,4,7}:{(144,1),(145,1),(151,1),(226,1)}
       187:{3,4,5,7}:{(145,1),(148,1),(152,1),(227,1),(228,1)}
       188:{2,3,6,7}:{(146,1),(153,1),(225,1),(229,1),(276,1),(310,1)}
       189:{1,3,4,6,7}:{(146,1),(147,1),(154,1),(216,1),(226,1),(229,1),(230,1),(277,1),(284,1),(286,1),(309,1),(310,1)}
       190:{2,3,5,7}:{(147,1),(148,1),(155,1),(217,1),(227,1),(230,1),(231,1)}
       191:{3,5,6}:{(148,1),(149,1),(228,1),(314,1)}
       192:{2,3,5,6}:{(150,1),(153,1),(225,1),(232,1),(234,1),(287,1),(288,1),(310,1)}
       193:{1,4,6}:{(150,1),(151,1),(226,1),(232,1),(233,1)}
       194:{2,4,5}:{(151,1),(152,1),(155,1),(233,1)}
       195:{2,4,6}:{(153,1),(154,1),(156,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(233,1),(234,1),(288,1)}
       197:{1,2,5,7}:{(157,1),(159,1),(163,1),(235,1),(252,1),(292,1)}
       198:{2,3,5,7}:{(157,1),(158,1),(160,1),(164,1),(235,1),(236,1)}
       199:{3,4,7}:{(158,1),(165,1),(236,1)}
       200:{1,3,6,7}:{(159,1),(160,1),(166,1),(235,1),(238,1),(247,1)}
       201:{2,3,4,6,7}:{(160,1),(161,1),(167,1),(175,1),(236,1),(239,1),(240,1),(248,1),(291,1),(298,1)}
       202:{3,5,7}:{(161,1),(162,1),(241,1)}
       203:{2,4,5,6}:{(162,1),(177,1),(241,1),(253,1),(291,1),(302,1)}
       204:{1,3,5,6}:{(163,1),(164,1),(166,1),(235,1),(242,1),(243,1),(246,1)}
       205:{2,4,6}:{(164,1),(165,1),(236,1),(243,1),(244,1)}
       206:{3,4,5}:{(165,1),(244,1)}
       207:{2,3,6}:{(166,1),(168,1),(245,1),(313,1)}
       208:{1,3,4,6}:{(166,1),(167,1),(169,1),(243,1),(245,1),(246,1),(294,1)}
       209:{2,3,5}:{(167,1),(244,1),(246,1)}
       210:{2,4,7}:{(168,1),(169,1),(245,1),(258,1)}
       211:{1,2,4,7}:{(170,1),(171,1),(178,1),(247,1),(249,1),(296,1)}
       212:{2,3,7}:{(170,1),(179,1),(247,1)}
       213:{1,3,5,7}:{(171,1),(172,1),(174,1),(180,1),(247,1),(249,1),(252,1)}
       214:{2,4,7}:{(172,1),(173,1),(181,1),(249,1)}
       215:{1,3,4,5,7}:{(173,1),(176,1),(182,1),(187,1),(237,1),(250,1),(251,1),(260,1),(290,1),(297,1),(301,1),(311,1)}
       216:{1,4,6,7}:{(174,1),(175,1),(249,1),(252,1),(299,1)}
       217:{2,5,7}:{(175,1),(176,1),(252,1),(253,1)}
       218:{1,3,5,6}:{(176,1),(177,1),(191,1),(241,1),(251,1),(253,1)}
       219:{1,3,6}:{(178,1),(179,1),(183,1),(247,1),(254,1)}
       220:{2,3,4,6}:{(179,1),(181,1),(184,1),(248,1),(255,1),(256,1),(264,1),(294,1),(298,1)}
       221:{1,4,6}:{(180,1),(181,1),(249,1),(257,1)}
       222:{2,4,5}:{(181,1),(182,1),(256,1),(257,1),(300,1)}
       223:{2,3,5}:{(183,1),(254,1),(258,1),(300,1)}
       224:{1,3,4}:{(183,1),(184,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(188,1),(192,1),(259,1),(262,1),(301,1)}
       226:{1,4,7}:{(185,1),(186,1),(193,1),(259,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(190,1),(194,1),(260,1),(261,1)}
       228:{3,4,6}:{(187,1),(191,1),(261,1)}
       229:{2,4,6,7}:{(188,1),(189,1),(195,1),(259,1),(262,1),(296,1),(302,1),(313,1)}
       230:{1,3,5,7}:{(189,1),(190,1),(196,1),(252,1),(260,1),(262,1),(263,1),(301,1)}
       231:{2,3,5,6}:{(190,1),(191,1),(253,1),(261,1),(263,1),(298,1)}
       232:{2,4,6}:{(192,1),(193,1),(259,1),(264,1),(265,1)}
       233:{1,4,5}:{(193,1),(194,1),(196,1),(265,1)}
       234:{2,5}:{(195,1),(196,1)}
       235:{1,3,5,7}:{(197,1),(198,1),(200,1),(204,1),(266,1),(267,1)}
       236:{2,4,7}:{(198,1),(199,1),(205,1),(267,1)}
       237:{3,4,5,7}:{(199,1),(202,1),(206,1),(268,1),(269,1)}
       238:{2,3,6,7}:{(200,1),(207,1),(266,1),(270,1),(276,1),(314,1)}
       239:{1,3,4,6,7}:{(200,1),(201,1),(208,1),(216,1),(267,1),(270,1),(271,1),(277,1),(303,1),(305,1),(309,1),(314,1)}
       240:{2,3,5,7}:{(201,1),(202,1),(209,1),(217,1),(268,1),(271,1),(272,1)}
       241:{3,5,6}:{(202,1),(203,1),(269,1),(310,1)}
       242:{2,3,5,6}:{(204,1),(207,1),(266,1),(273,1),(275,1),(306,1),(307,1),(314,1)}
       243:{1,4,6}:{(204,1),(205,1),(267,1),(273,1),(274,1)}
       244:{2,4,5}:{(205,1),(206,1),(209,1),(274,1)}
       245:{2,4,6}:{(207,1),(208,1),(210,1),(275,1)}
       246:{1,3,5}:{(208,1),(209,1),(274,1),(275,1),(307,1)}
       247:{1,3,7}:{(211,1),(212,1),(219,1),(276,1)}
       248:{2,3,4,7}:{(212,1),(214,1),(220,1),(277,1),(278,1),(284,1),(303,1)}
       249:{1,4,7}:{(213,1),(214,1),(221,1)}
       250:{2,4,5,7}:{(214,1),(215,1),(217,1),(222,1),(278,1),(279,1),(280,1),(308,1)}
       251:{1,3,4,6}:{(215,1),(218,1),(228,1),(269,1),(280,1),(286,1),(305,1),(309,1),(310,1),(314,1)}
       252:{1,5,7}:{(216,1),(217,1),(281,1)}
       253:{2,5,6}:{(217,1),(218,1),(280,1),(281,1)}
       254:{2,3,6}:{(219,1),(223,1),(276,1),(282,1)}
       255:{1,3,4,6}:{(219,1),(220,1),(221,1),(224,1),(277,1),(282,1),(283,1),(309,1)}
       256:{2,3,5}:{(220,1),(222,1),(283,1),(288,1),(307,1)}
       257:{1,4,5}:{(221,1),(222,1),(283,1)}
       258:{2,4}:{(223,1),(224,1)}
       259:{2,4,7}:{(225,1),(226,1),(232,1),(284,1)}
       260:{1,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(285,1),(286,1)}
       261:{2,4,6}:{(227,1),(228,1),(231,1),(286,1)}
       262:{2,5,7}:{(229,1),(230,1),(234,1),(287,1)}
       263:{1,3,5,6}:{(230,1),(231,1),(281,1),(286,1),(287,1),(309,1),(310,1)}
       264:{3,4,6}:{(232,1),(284,1),(288,1),(310,1)}
       265:{2,4,5}:{(232,1),(233,1),(234,1),(288,1)}
       266:{2,3,5,7}:{(235,1),(238,1),(242,1),(289,1),(292,1),(311,1)}
       267:{1,4,7}:{(235,1),(236,1),(243,1),(289,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(240,1),(244,1),(290,1),(291,1)}
       269:{3,4,6}:{(237,1),(241,1),(291,1)}
       270:{2,4,6,7}:{(238,1),(239,1),(245,1),(289,1),(292,1),(296,1),(312,1),(313,1)}
       271:{1,3,5,7}:{(239,1),(240,1),(246,1),(252,1),(290,1),(292,1),(293,1),(311,1)}
       272:{2,3,5,6}:{(240,1),(241,1),(253,1),(291,1),(293,1),(298,1)}
       273:{2,4,6}:{(242,1),(243,1),(289,1),(294,1),(295,1)}
       274:{1,4,5}:{(243,1),(244,1),(246,1),(295,1)}
       275:{2,5}:{(245,1),(246,1)}
       276:{2,3,7}:{(247,1),(254,1),(296,1)}
       277:{1,3,4,7}:{(247,1),(248,1),(249,1),(255,1),(296,1),(297,1)}
       278:{2,3,5,7}:{(248,1),(250,1),(256,1),(297,1),(298,1),(301,1),(311,1)}
       279:{1,4,5,7}:{(249,1),(250,1),(252,1),(257,1),(297,1),(299,1)}
       280:{2,4,6}:{(250,1),(251,1),(253,1),(298,1),(299,1),(313,1)}
       281:{1,5,6}:{(252,1),(253,1),(299,1)}
       282:{2,4,6}:{(254,1),(255,1),(258,1),(296,1),(300,1),(313,1)}
       283:{1,3,5}:{(255,1),(256,1),(257,1),(300,1)}
       284:{3,4,7}:{(259,1),(264,1),(301,1)}
       285:{2,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(301,1),(302,1)}
       286:{1,4,6}:{(260,1),(261,1),(263,1),(302,1)}
       287:{2,5,6}:{(262,1),(263,1),(302,1),(313,1)}
       288:{3,5}:{(264,1),(265,1)}
       289:{2,4,7}:{(266,1),(267,1),(273,1),(303,1)}
       290:{1,4,5,7}:{(267,1),(268,1),(271,1),(274,1),(304,1),(305,1)}
       291:{2,4,6}:{(268,1),(269,1),(272,1),(305,1)}
       292:{2,5,7}:{(270,1),(271,1),(275,1),(306,1)}
       293:{1,3,5,6}:{(271,1),(272,1),(281,1),(305,1),(306,1),(309,1),(314,1)}
       294:{3,4,6}:{(273,1),(303,1),(307,1),(314,1)}
       295:{2,4,5}:{(273,1),(274,1),(275,1),(307,1)}
       296:{2,4,7}:{(276,1),(277,1),(282,1),(308,1)}
       297:{1,3,5,7}:{(277,1),(278,1),(279,1),(283,1),(308,1),(309,1)}
       298:{2,3,6}:{(278,1),(280,1),(309,1),(310,1),(314,1)}
       299:{1,4,6}:{(279,1),(280,1),(281,1),(309,1)}
       300:{2,5}:{(282,1),(283,1)}
       301:{3,5,7}:{(284,1),(285,1),(288,1),(310,1)}
       302:{2,4,6}:{(285,1),(286,1),(287,1),(310,1)}
       303:{3,4,7}:{(289,1),(294,1),(311,1)}
       304:{2,4,5,7}:{(289,1),(290,1),(292,1),(295,1),(311,1),(312,1)}
       305:{1,4,6}:{(290,1),(291,1),(293,1),(312,1)}
       306:{2,5,6}:{(292,1),(293,1),(312,1),(313,1)}
       307:{3,5}:{(294,1),(295,1)}
       308:{2,5,7}:{(296,1),(297,1),(300,1),(313,1)}
       309:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{2,4,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

1763 :   0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(20,1),(22,1),(64,1),(139,1),(153,1),(154,1),(158,1),(159,1),(217,1),(226,1),(230,1)}
         1:{1,2,4,5,7}:{(5,1),(6,1),(9,1),(29,1),(33,1),(34,1),(46,1),(90,1),(99,1),(100,1),(102,1),(103,1),(181,1),(186,1),(192,1),(196,1),(235,1),(239,1),(249,1),(290,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(34,1),(42,1),(46,1),(102,1),(111,1),(117,1),(192,1),(196,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(47,1),(119,1),(120,1),(179,1),(198,1),(245,1)}
         4:{1,3,4,5,7}:{(12,1),(13,1),(15,1),(52,1),(54,1),(64,1),(139,1),(204,1),(205,1),(209,1),(210,1),(217,1),(262,1),(266,1)}
         5:{1,3,5,7}:{(1,1),(15,1),(16,1),(17,1),(64,1),(143,1),(217,1),(220,1),(226,1),(230,1),(262,1),(266,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(18,1),(24,1),(56,1),(63,1),(68,1),(78,1),(131,1),(160,1),(211,1),(215,1),(302,1)}
         7:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(70,1),(71,1),(151,1),(153,1),(154,1),(226,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(77,1),(217,1),(226,1),(230,1),(271,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(62,1),(73,1),(145,1),(153,1),(158,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(78,1)}
        11:{1,3,5,6}:{(3,1),(20,1),(25,1),(26,1),(64,1),(82,1)}
        12:{2,4,5,7}:{(4,1),(28,1),(29,1),(30,1),(34,1),(86,1),(90,1),(102,1),(167,1),(173,1),(235,1),(239,1)}
        13:{1,3,4,6}:{(4,1),(30,1),(31,1),(91,1),(175,1),(176,1),(179,1),(241,1),(245,1)}
        14:{1,2,4,6,7}:{(6,1),(32,1),(33,1),(41,1),(85,1),(95,1),(99,1),(109,1),(165,1),(192,1),(235,1)}
        15:{1,3,4,7}:{(5,1),(34,1),(35,1),(99,1),(184,1),(249,1),(257,1),(285,1)}
        16:{2,3,5,7}:{(5,1),(34,1),(36,1),(37,1),(46,1),(90,1),(102,1),(114,1),(170,1),(195,1),(238,1)}
        17:{1,3,6}:{(5,1),(6,1),(37,1),(198,1),(241,1),(245,1)}
        18:{1,2,5,6}:{(6,1),(33,1),(38,1),(49,1),(93,1),(102,1),(118,1),(174,1),(178,1),(186,1),(294,1)}
        19:{2,4,6,7}:{(7,1),(10,1),(40,1),(41,1),(42,1),(109,1),(111,1),(192,1)}
        20:{1,3,5,7}:{(7,1),(11,1),(42,1),(43,1),(113,1)}
        21:{2,3,4,7}:{(8,1),(34,1),(44,1),(45,1),(111,1),(170,1),(184,1),(248,1),(255,1),(257,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(44,1),(46,1),(47,1),(116,1),(290,1)}
        23:{2,3,6}:{(8,1),(10,1),(47,1),(198,1),(245,1),(289,1)}
        24:{1,4,6}:{(9,1),(10,1),(47,1),(49,1)}
        25:{2,5,6}:{(10,1),(11,1),(42,1),(49,1),(102,1)}
        26:{1,4,5,6}:{(11,1),(43,1),(50,1),(103,1),(119,1),(179,1),(200,1)}
        27:{1,3,4,6,7}:{(13,1),(51,1),(52,1),(123,1),(124,1),(202,1),(204,1),(205,1),(262,1)}
        28:{2,3,5,7}:{(12,1),(53,1),(54,1),(55,1),(130,1),(217,1),(262,1),(266,1),(271,1)}
        29:{1,4,5,7}:{(12,1),(54,1),(56,1),(62,1),(126,1),(145,1),(204,1),(209,1)}
        30:{2,4,6}:{(12,1),(13,1),(55,1),(56,1),(57,1),(131,1)}
        31:{1,3,5,6}:{(13,1),(52,1),(57,1),(58,1),(64,1),(135,1)}
        32:{1,3,6,7}:{(14,1),(17,1),(60,1),(61,1),(226,1),(262,1),(302,1)}
        33:{1,2,5,7}:{(14,1),(18,1),(61,1),(73,1),(126,1),(138,1),(152,1),(203,1),(303,1)}
        34:{2,4,7}:{(15,1),(16,1),(62,1),(63,1),(229,1),(265,1)}
        35:{1,3,4,6}:{(15,1),(17,1),(63,1),(64,1),(68,1),(149,1)}
        36:{1,3,5,7}:{(16,1),(62,1),(65,1),(66,1),(143,1),(145,1),(220,1)}
        37:{2,3,6}:{(16,1),(17,1),(63,1),(66,1),(78,1),(131,1)}
        38:{1,3,5,6}:{(17,1),(18,1),(61,1),(64,1),(67,1),(68,1),(220,1),(276,1),(277,1),(302,1)}
        39:{1,3,5,6,7}:{(20,1),(69,1),(70,1),(136,1),(151,1)}
        40:{2,3,6,7}:{(19,1),(23,1),(71,1),(72,1),(151,1),(225,1),(226,1)}
        41:{1,4,6,7}:{(19,1),(24,1),(71,1),(73,1),(153,1)}
        42:{2,5,7}:{(19,1),(20,1),(25,1),(73,1)}
        43:{1,4,5,7}:{(20,1),(26,1),(70,1),(74,1),(153,1),(228,1)}
        44:{1,3,4,7}:{(21,1),(22,1),(62,1),(75,1),(76,1),(143,1),(153,1),(226,1),(273,1),(278,1)}
        45:{2,3,4,6}:{(21,1),(23,1),(63,1),(76,1),(77,1),(80,1),(149,1),(207,1),(224,1),(232,1),(265,1),(279,1)}
        46:{2,5,7}:{(22,1),(75,1),(78,1),(157,1)}
        47:{1,3,6}:{(22,1),(23,1),(24,1),(78,1),(302,1)}
        48:{2,3,5,6}:{(23,1),(25,1),(72,1),(77,1),(79,1),(80,1),(82,1),(162,1),(232,1)}
        49:{1,5,6}:{(24,1),(25,1),(73,1),(145,1)}
        50:{2,4,5,6}:{(25,1),(26,1),(74,1),(80,1),(81,1),(82,1),(146,1),(160,1),(162,1),(215,1)}
        51:{2,4,6,7}:{(27,1),(30,1),(84,1),(85,1),(86,1),(165,1),(167,1),(235,1)}
        52:{1,3,5,7}:{(27,1),(31,1),(86,1),(87,1),(169,1)}
        53:{2,3,4,7}:{(28,1),(34,1),(88,1),(89,1),(114,1),(167,1),(184,1),(248,1),(283,1),(285,1)}
        54:{1,3,5,7}:{(28,1),(29,1),(88,1),(90,1),(91,1),(172,1),(290,1)}
        55:{2,3,6}:{(28,1),(30,1),(91,1),(241,1),(245,1),(289,1)}
        56:{1,4,6}:{(29,1),(30,1),(91,1),(93,1)}
        57:{2,5,6}:{(30,1),(31,1),(86,1),(93,1),(102,1)}
        58:{1,4,5,6}:{(31,1),(87,1),(94,1),(103,1),(175,1),(179,1),(243,1)}
        59:{1,3,4,6,7}:{(32,1),(35,1),(95,1),(96,1),(99,1),(179,1),(184,1),(245,1)}
        60:{2,3,6,7}:{(32,1),(37,1),(95,1),(97,1),(98,1),(109,1),(165,1),(245,1),(289,1)}
        61:{1,3,5,7}:{(32,1),(33,1),(38,1),(98,1),(99,1),(290,1),(291,1)}
        62:{1,4,7}:{(34,1),(36,1),(101,1),(249,1)}
        63:{2,4,6}:{(34,1),(35,1),(37,1),(101,1),(102,1)}
        64:{1,3,5}:{(35,1),(102,1),(103,1),(188,1)}
        65:{1,2,5,7}:{(36,1),(46,1),(90,1),(100,1),(104,1),(186,1),(290,1)}
        66:{1,3,6}:{(36,1),(37,1),(101,1),(104,1)}
        67:{2,3,5,6}:{(37,1),(38,1),(98,1),(102,1),(105,1),(106,1),(118,1),(174,1),(178,1),(188,1),(195,1),(198,1),(238,1),(241,1),(245,1),(251,1),(252,1),(289,1)}
        68:{1,4,6}:{(38,1),(99,1),(103,1),(106,1),(249,1)}
        69:{2,5,6,7}:{(39,1),(42,1),(107,1),(108,1),(178,1)}
        70:{1,4,6,7}:{(39,1),(43,1),(108,1),(179,1),(254,1)}
        71:{1,3,6,7}:{(40,1),(41,1),(47,1),(109,1),(110,1),(254,1)}
        72:{2,3,5,7}:{(40,1),(42,1),(48,1),(110,1),(111,1),(113,1),(194,1),(255,1)}
        73:{1,5,7}:{(41,1),(42,1),(49,1)}
        74:{2,4,5,7}:{(42,1),(43,1),(50,1),(108,1),(111,1),(112,1),(113,1),(192,1),(194,1)}
        75:{2,4,7}:{(44,1),(46,1),(114,1),(115,1),(295,1)}
        76:{1,3,4,6}:{(44,1),(45,1),(47,1),(101,1),(115,1),(116,1),(119,1),(185,1),(198,1),(249,1),(253,1),(257,1),(260,1),(296,1)}
        77:{2,3,5}:{(45,1),(102,1),(116,1),(117,1),(188,1),(251,1)}
        78:{2,6}:{(46,1),(47,1)}
        79:{1,3,5,6}:{(47,1),(48,1),(49,1),(110,1),(116,1),(118,1),(119,1),(198,1),(200,1),(260,1)}
        80:{2,4,6}:{(48,1),(111,1),(117,1),(119,1),(120,1)}
        81:{1,4,5,6}:{(49,1),(50,1),(112,1),(119,1),(121,1),(187,1),(244,1)}
        82:{3,5,6}:{(50,1),(113,1),(120,1),(188,1),(198,1),(245,1)}
        83:{1,3,5,6,7}:{(52,1),(122,1),(123,1),(136,1),(202,1)}
        84:{2,3,6,7}:{(51,1),(55,1),(124,1),(125,1),(202,1),(261,1),(262,1)}
        85:{1,4,6,7}:{(51,1),(56,1),(124,1),(126,1),(204,1)}
        86:{2,5,7}:{(51,1),(52,1),(57,1),(126,1)}
        87:{1,4,5,7}:{(52,1),(58,1),(123,1),(127,1),(204,1),(264,1)}
        88:{1,3,4,7}:{(53,1),(54,1),(62,1),(128,1),(129,1),(143,1),(204,1),(262,1),(273,1),(298,1)}
        89:{2,3,4,6}:{(53,1),(55,1),(63,1),(129,1),(130,1),(133,1),(149,1),(156,1),(224,1),(229,1),(268,1),(299,1)}
        90:{2,5,7}:{(54,1),(128,1),(131,1),(208,1)}
        91:{1,3,6}:{(54,1),(55,1),(56,1),(131,1),(302,1)}
        92:{2,3,5,6}:{(55,1),(57,1),(125,1),(130,1),(132,1),(133,1),(135,1),(213,1),(268,1)}
        93:{1,5,6}:{(56,1),(57,1),(126,1),(145,1)}
        94:{2,4,5,6}:{(57,1),(58,1),(127,1),(133,1),(134,1),(135,1),(146,1),(211,1),(213,1),(215,1)}
        95:{2,4,6,7}:{(59,1),(60,1),(63,1),(137,1),(138,1),(142,1),(215,1)}
        96:{1,3,5,7}:{(59,1),(64,1),(136,1),(138,1),(139,1),(217,1)}
        97:{1,3,6,7}:{(60,1),(66,1),(137,1),(140,1),(141,1),(270,1)}
        98:{2,3,5,7}:{(60,1),(61,1),(67,1),(138,1),(141,1),(142,1),(152,1),(203,1),(217,1),(226,1),(262,1),(271,1),(272,1)}
        99:{1,4,7}:{(61,1),(68,1),(142,1)}
       100:{1,2,4,7}:{(62,1),(65,1),(75,1),(128,1),(143,1),(144,1),(273,1),(303,1)}
       101:{1,4,6}:{(62,1),(63,1),(66,1),(145,1)}
       102:{2,5}:{(63,1),(64,1),(145,1)}
       103:{1,4,5}:{(64,1),(68,1),(146,1),(276,1)}
       104:{1,2,6}:{(65,1),(66,1),(78,1),(131,1),(302,1)}
       105:{1,3,5,6}:{(66,1),(67,1),(141,1),(145,1),(147,1),(148,1),(214,1),(220,1),(222,1),(223,1),(270,1)}
       106:{2,4,6}:{(67,1),(68,1),(142,1),(146,1),(148,1),(149,1),(229,1),(265,1)}
       107:{1,5,6,7}:{(69,1),(73,1),(150,1),(214,1)}
       108:{2,4,6,7}:{(69,1),(70,1),(74,1),(150,1),(151,1),(215,1),(225,1)}
       109:{2,6,7}:{(71,1),(78,1),(152,1)}
       110:{1,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(152,1),(153,1),(226,1),(228,1),(278,1)}
       111:{2,4,7}:{(72,1),(80,1),(153,1),(154,1)}
       112:{1,4,5,7}:{(73,1),(74,1),(81,1),(150,1),(153,1),(155,1)}
       113:{3,5,7}:{(74,1),(82,1),(151,1),(154,1),(226,1)}
       114:{2,3,7}:{(75,1),(143,1),(156,1),(226,1)}
       115:{2,4,6}:{(75,1),(76,1),(78,1),(156,1),(157,1),(229,1),(281,1),(306,1)}
       116:{1,3,5}:{(76,1),(77,1),(145,1),(157,1),(158,1),(230,1),(276,1)}
       117:{2,4,5}:{(77,1),(80,1),(158,1),(159,1),(265,1)}
       118:{2,5,6}:{(78,1),(79,1),(152,1),(157,1),(160,1),(281,1)}
       119:{1,4,6}:{(79,1),(80,1),(153,1),(158,1),(160,1)}
       120:{3,4,6}:{(80,1),(82,1),(154,1),(159,1)}
       121:{1,3,5,6}:{(81,1),(82,1),(155,1),(161,1),(162,1),(222,1),(270,1)}
       122:{2,5,6,7}:{(83,1),(86,1),(163,1),(164,1),(178,1)}
       123:{1,4,6,7}:{(83,1),(87,1),(164,1),(179,1),(282,1)}
       124:{1,3,6,7}:{(84,1),(85,1),(91,1),(165,1),(166,1),(282,1)}
       125:{2,3,5,7}:{(84,1),(86,1),(92,1),(166,1),(167,1),(169,1),(237,1),(283,1)}
       126:{1,5,7}:{(85,1),(86,1),(93,1)}
       127:{2,4,5,7}:{(86,1),(87,1),(94,1),(164,1),(167,1),(168,1),(169,1),(235,1),(237,1)}
       128:{2,4,7}:{(88,1),(90,1),(170,1),(171,1),(307,1)}
       129:{1,3,4,6}:{(88,1),(89,1),(91,1),(101,1),(171,1),(172,1),(175,1),(185,1),(241,1),(249,1),(253,1),(285,1),(288,1),(308,1)}
       130:{2,3,5}:{(89,1),(102,1),(172,1),(173,1),(188,1),(251,1)}
       131:{2,6}:{(90,1),(91,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(93,1),(166,1),(172,1),(174,1),(175,1),(241,1),(243,1),(288,1)}
       133:{2,4,6}:{(92,1),(167,1),(173,1),(175,1),(176,1)}
       134:{1,4,5,6}:{(93,1),(94,1),(168,1),(175,1),(177,1),(187,1),(244,1)}
       135:{3,5,6}:{(94,1),(169,1),(176,1),(188,1),(241,1),(245,1)}
       136:{1,3,5,6}:{(96,1),(178,1),(179,1),(245,1)}
       137:{1,4,6,7}:{(95,1),(97,1),(101,1),(180,1),(183,1),(244,1)}
       138:{2,5,7}:{(95,1),(96,1),(102,1),(178,1),(180,1)}
       139:{1,4,5,7}:{(96,1),(99,1),(103,1),(179,1),(181,1),(290,1)}
       140:{1,2,6,7}:{(97,1),(104,1),(109,1),(165,1),(182,1),(254,1),(282,1),(289,1)}
       141:{1,3,5,7}:{(97,1),(98,1),(105,1),(180,1),(182,1),(183,1),(247,1)}
       142:{2,4,7}:{(98,1),(99,1),(106,1),(183,1),(184,1)}
       143:{1,3,7}:{(100,1),(114,1),(170,1),(185,1)}
       144:{1,2,4,6}:{(100,1),(101,1),(104,1),(115,1),(171,1),(185,1),(186,1),(249,1),(253,1),(294,1),(310,1)}
       145:{1,5}:{(101,1),(102,1)}
       146:{2,4,5}:{(102,1),(103,1),(106,1),(187,1),(188,1),(251,1)}
       147:{1,2,5,6}:{(104,1),(105,1),(118,1),(174,1),(182,1),(186,1),(189,1),(200,1),(243,1),(251,1),(289,1)}
       148:{1,4,6}:{(105,1),(106,1),(183,1),(187,1),(249,1)}
       149:{3,4,6}:{(106,1),(184,1),(188,1),(198,1),(241,1),(245,1),(257,1),(285,1)}
       150:{1,4,6,7}:{(107,1),(108,1),(112,1),(191,1),(244,1)}
       151:{3,6,7}:{(108,1),(113,1),(245,1)}
       152:{2,5,7}:{(109,1),(110,1),(118,1),(192,1),(295,1)}
       153:{1,4,7}:{(110,1),(111,1),(119,1),(192,1)}
       154:{3,4,7}:{(111,1),(113,1),(120,1)}
       155:{1,3,5,7}:{(112,1),(113,1),(121,1),(191,1),(193,1),(194,1)}
       156:{2,3,6}:{(114,1),(115,1),(185,1),(195,1),(198,1),(311,1)}
       157:{2,5}:{(115,1),(116,1)}
       158:{1,4,5}:{(116,1),(117,1),(119,1),(196,1),(249,1)}
       159:{3,4,5}:{(117,1),(120,1),(188,1),(285,1)}
       160:{2,4,6}:{(118,1),(119,1),(192,1),(196,1),(198,1)}
       161:{1,3,4,6}:{(119,1),(120,1),(121,1),(193,1),(197,1),(198,1),(199,1),(260,1)}
       162:{2,5,6}:{(121,1),(194,1),(199,1),(200,1),(251,1),(289,1)}
       163:{1,5,6,7}:{(122,1),(126,1),(201,1),(214,1)}
       164:{2,4,6,7}:{(122,1),(123,1),(127,1),(201,1),(202,1),(215,1),(261,1)}
       165:{2,6,7}:{(124,1),(131,1),(203,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(203,1),(204,1),(262,1),(264,1),(298,1)}
       167:{2,4,7}:{(125,1),(133,1),(204,1),(205,1)}
       168:{1,4,5,7}:{(126,1),(127,1),(134,1),(201,1),(204,1),(206,1)}
       169:{3,5,7}:{(127,1),(135,1),(202,1),(205,1),(262,1)}
       170:{2,3,7}:{(128,1),(143,1),(207,1),(262,1)}
       171:{2,4,6}:{(128,1),(129,1),(131,1),(207,1),(208,1),(265,1),(301,1),(312,1)}
       172:{1,3,5}:{(129,1),(130,1),(145,1),(208,1),(209,1),(266,1),(276,1)}
       173:{2,4,5}:{(130,1),(133,1),(209,1),(210,1),(229,1)}
       174:{2,5,6}:{(131,1),(132,1),(203,1),(208,1),(211,1),(301,1)}
       175:{1,4,6}:{(132,1),(133,1),(204,1),(209,1),(211,1)}
       176:{3,4,6}:{(133,1),(135,1),(205,1),(210,1)}
       177:{1,3,5,6}:{(134,1),(135,1),(206,1),(212,1),(213,1),(222,1),(270,1)}
       178:{2,5,6}:{(136,1),(138,1),(214,1),(215,1)}
       179:{1,4,6}:{(136,1),(139,1),(215,1),(302,1)}
       180:{1,5,7}:{(137,1),(138,1),(145,1),(214,1)}
       181:{2,4,5,7}:{(138,1),(139,1),(142,1),(146,1),(215,1),(216,1),(217,1),(271,1)}
       182:{1,2,5,7}:{(140,1),(141,1),(147,1),(152,1),(203,1),(218,1),(228,1),(264,1),(271,1)}
       183:{1,4,7}:{(141,1),(142,1),(148,1)}
       184:{3,4,7}:{(142,1),(149,1),(217,1),(226,1),(262,1)}
       185:{1,3,6}:{(143,1),(144,1),(156,1),(207,1),(220,1),(313,1)}
       186:{1,2,5}:{(144,1),(145,1),(157,1),(208,1),(220,1),(276,1)}
       187:{1,4,5}:{(145,1),(146,1),(148,1),(222,1)}
       188:{3,5}:{(146,1),(149,1)}
       189:{1,2,4,6}:{(147,1),(148,1),(160,1),(211,1),(218,1),(221,1),(223,1),(224,1),(233,1),(269,1),(281,1),(301,1)}
       190:{1,3,4,6}:{(148,1),(149,1),(219,1),(222,1),(223,1),(224,1),(270,1),(274,1)}
       191:{1,3,6,7}:{(150,1),(151,1),(155,1),(225,1),(270,1)}
       192:{2,4,7}:{(152,1),(153,1),(160,1),(226,1)}
       193:{1,3,4,7}:{(153,1),(154,1),(155,1),(161,1),(226,1),(227,1),(278,1)}
       194:{2,5,7}:{(155,1),(162,1),(225,1),(227,1),(228,1)}
       195:{2,3,5}:{(156,1),(157,1),(220,1),(229,1),(230,1)}
       196:{2,4,5}:{(157,1),(158,1),(160,1),(229,1),(230,1)}
       197:{1,3,4,5}:{(158,1),(159,1),(161,1),(222,1),(230,1),(231,1),(274,1),(280,1)}
       198:{3,6}:{(160,1),(226,1),(230,1)}
       199:{2,4,6}:{(161,1),(162,1),(227,1),(231,1),(232,1),(233,1),(281,1)}
       200:{1,5,6}:{(162,1),(228,1),(233,1),(276,1),(302,1)}
       201:{1,4,6,7}:{(163,1),(164,1),(168,1),(234,1),(244,1)}
       202:{3,6,7}:{(164,1),(169,1),(245,1)}
       203:{2,5,7}:{(165,1),(166,1),(174,1),(235,1),(307,1)}
       204:{1,4,7}:{(166,1),(167,1),(175,1),(235,1)}
       205:{3,4,7}:{(167,1),(169,1),(176,1)}
       206:{1,3,5,7}:{(168,1),(169,1),(177,1),(234,1),(236,1),(237,1)}
       207:{2,3,6}:{(170,1),(171,1),(185,1),(238,1),(241,1),(314,1)}
       208:{2,5}:{(171,1),(172,1)}
       209:{1,4,5}:{(172,1),(173,1),(175,1),(239,1),(249,1)}
       210:{3,4,5}:{(173,1),(176,1),(188,1),(257,1)}
       211:{2,4,6}:{(174,1),(175,1),(235,1),(239,1),(241,1)}
       212:{1,3,4,6}:{(175,1),(176,1),(177,1),(236,1),(240,1),(241,1),(242,1),(288,1)}
       213:{2,5,6}:{(177,1),(237,1),(242,1),(243,1),(251,1),(289,1)}
       214:{1,5,6}:{(178,1),(180,1),(244,1)}
       215:{2,4,6}:{(178,1),(179,1),(181,1),(244,1),(245,1),(289,1)}
       216:{1,4,5,7}:{(180,1),(181,1),(183,1),(187,1),(244,1),(246,1)}
       217:{3,5,7}:{(181,1),(184,1),(188,1),(245,1)}
       218:{1,2,4,7}:{(182,1),(183,1),(189,1),(192,1),(235,1),(247,1),(248,1),(256,1),(284,1),(295,1),(307,1)}
       219:{1,3,4,7}:{(183,1),(184,1),(190,1),(246,1),(247,1),(248,1)}
       220:{1,3,5}:{(185,1),(186,1),(195,1),(238,1),(249,1)}
       221:{1,2,4,5}:{(186,1),(187,1),(189,1),(196,1),(239,1),(249,1),(250,1),(251,1),(259,1),(287,1),(292,1),(297,1),(309,1),(310,1)}
       222:{1,3,5}:{(187,1),(188,1),(190,1),(251,1)}
       223:{1,3,6}:{(189,1),(198,1),(241,1),(247,1),(250,1),(252,1)}
       224:{2,4,6}:{(190,1),(248,1),(251,1),(252,1),(253,1),(289,1),(292,1)}
       225:{2,6,7}:{(191,1),(194,1),(254,1),(289,1)}
       226:{3,7}:{(192,1),(198,1)}
       227:{2,4,7}:{(193,1),(194,1),(199,1),(255,1),(256,1),(295,1)}
       228:{1,5,7}:{(194,1),(200,1),(254,1),(256,1)}
       229:{2,4}:{(195,1),(249,1),(257,1)}
       230:{3,5}:{(196,1),(198,1),(257,1)}
       231:{2,4,5}:{(197,1),(199,1),(251,1),(258,1),(259,1),(292,1),(297,1)}
       232:{2,3,6}:{(198,1),(199,1),(255,1),(258,1),(260,1)}
       233:{1,4,6}:{(199,1),(200,1),(256,1),(259,1),(260,1)}
       234:{1,3,6,7}:{(201,1),(202,1),(206,1),(261,1),(270,1)}
       235:{2,4,7}:{(203,1),(204,1),(211,1),(262,1)}
       236:{1,3,4,7}:{(204,1),(205,1),(206,1),(212,1),(262,1),(263,1),(298,1)}
       237:{2,5,7}:{(206,1),(213,1),(261,1),(263,1),(264,1)}
       238:{2,3,5}:{(207,1),(208,1),(220,1),(265,1),(266,1)}
       239:{2,4,5}:{(208,1),(209,1),(211,1),(265,1),(266,1)}
       240:{1,3,4,5}:{(209,1),(210,1),(212,1),(222,1),(266,1),(267,1),(274,1),(300,1)}
       241:{3,6}:{(211,1),(262,1),(266,1)}
       242:{2,4,6}:{(212,1),(213,1),(263,1),(267,1),(268,1),(269,1),(301,1)}
       243:{1,5,6}:{(213,1),(264,1),(269,1),(276,1),(302,1)}
       244:{1,4,6}:{(214,1),(215,1),(216,1),(270,1)}
       245:{3,6}:{(215,1),(217,1)}
       246:{1,3,5,7}:{(216,1),(217,1),(219,1),(222,1),(270,1),(271,1)}
       247:{1,3,7}:{(218,1),(223,1),(226,1),(262,1),(272,1)}
       248:{2,4,7}:{(219,1),(224,1),(271,1),(272,1),(273,1)}
       249:{1,4}:{(220,1),(229,1),(265,1)}
       250:{1,3,5}:{(221,1),(223,1),(230,1),(266,1),(274,1),(275,1),(313,1)}
       251:{2,5}:{(222,1),(224,1),(276,1)}
       252:{2,3,6}:{(223,1),(224,1),(272,1),(275,1),(277,1),(281,1),(301,1)}
       253:{1,4,6}:{(224,1),(273,1),(276,1),(277,1),(302,1),(304,1)}
       254:{1,6,7}:{(225,1),(228,1),(302,1)}
       255:{2,3,7}:{(226,1),(227,1),(232,1),(278,1)}
       256:{1,4,7}:{(227,1),(228,1),(233,1),(278,1)}
       257:{3,4}:{(229,1),(230,1)}
       258:{2,3,5}:{(230,1),(231,1),(232,1),(279,1),(280,1)}
       259:{1,4,5}:{(231,1),(233,1),(276,1),(280,1),(304,1)}
       260:{1,3,6}:{(232,1),(233,1),(278,1),(280,1),(281,1)}
       261:{2,6,7}:{(234,1),(237,1),(282,1),(289,1)}
       262:{3,7}:{(235,1),(241,1)}
       263:{2,4,7}:{(236,1),(237,1),(242,1),(283,1),(284,1),(307,1)}
       264:{1,5,7}:{(237,1),(243,1),(282,1),(284,1)}
       265:{2,4}:{(238,1),(249,1),(285,1)}
       266:{3,5}:{(239,1),(241,1),(285,1)}
       267:{2,4,5}:{(240,1),(242,1),(251,1),(286,1),(287,1),(292,1),(309,1)}
       268:{2,3,6}:{(241,1),(242,1),(283,1),(286,1),(288,1)}
       269:{1,4,6}:{(242,1),(243,1),(284,1),(287,1),(288,1)}
       270:{1,3,6}:{(244,1),(245,1),(246,1),(289,1)}
       271:{2,5,7}:{(246,1),(248,1),(251,1),(289,1),(290,1)}
       272:{2,3,7}:{(247,1),(248,1),(252,1),(291,1),(295,1),(307,1)}
       273:{1,4,7}:{(248,1),(253,1),(290,1),(291,1)}
       274:{1,3,4}:{(249,1),(250,1),(257,1),(285,1),(292,1)}
       275:{2,3,5}:{(250,1),(251,1),(252,1),(292,1),(293,1),(297,1),(309,1),(311,1),(314,1)}
       276:{1,5}:{(251,1),(253,1)}
       277:{1,3,6}:{(252,1),(253,1),(291,1),(293,1),(294,1)}
       278:{1,3,7}:{(255,1),(256,1),(260,1),(295,1)}
       279:{2,3,4}:{(257,1),(258,1),(292,1),(296,1),(314,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(296,1),(297,1)}
       281:{2,6}:{(260,1),(295,1),(297,1)}
       282:{1,6,7}:{(261,1),(264,1),(302,1)}
       283:{2,3,7}:{(262,1),(263,1),(268,1),(298,1)}
       284:{1,4,7}:{(263,1),(264,1),(269,1),(298,1)}
       285:{3,4}:{(265,1),(266,1)}
       286:{2,3,5}:{(266,1),(267,1),(268,1),(299,1),(300,1)}
       287:{1,4,5}:{(267,1),(269,1),(276,1),(300,1),(304,1)}
       288:{1,3,6}:{(268,1),(269,1),(298,1),(300,1),(301,1)}
       289:{2,6}:{(270,1),(271,1),(302,1)}
       290:{1,5,7}:{(271,1),(273,1),(276,1),(302,1)}
       291:{1,3,7}:{(272,1),(273,1),(277,1),(303,1)}
       292:{2,4}:{(274,1),(275,1),(304,1)}
       293:{1,3,5}:{(275,1),(276,1),(277,1),(304,1),(305,1),(313,1)}
       294:{1,2,6}:{(277,1),(281,1),(301,1),(303,1),(305,1)}
       295:{2,7}:{(278,1),(281,1)}
       296:{1,3,4}:{(279,1),(280,1),(304,1),(306,1),(313,1)}
       297:{2,5}:{(280,1),(281,1),(306,1)}
       298:{1,3,7}:{(283,1),(284,1),(288,1),(307,1)}
       299:{2,3,4}:{(285,1),(286,1),(292,1),(308,1),(311,1)}
       300:{1,3,5}:{(286,1),(287,1),(288,1),(308,1),(309,1)}
       301:{2,6}:{(288,1),(307,1),(309,1)}
       302:{1,6}:{(289,1),(290,1)}
       303:{1,2,7}:{(291,1),(294,1),(295,1),(307,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(294,1),(297,1),(309,1),(310,1)}
       306:{2,4}:{(296,1),(297,1),(311,1)}
       307:{2,7}:{(298,1),(301,1)}
       308:{1,3,4}:{(299,1),(300,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

1764 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1765 :   0:{3,4,6,7}:{(3,1),(4,1),(26,1),(31,1),(51,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(7,1),(51,1),(74,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(23,1),(25,1),(50,1),(51,1),(53,1),(74,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(18,1),(38,1)}
         4:{3,5,7}:{(0,1),(10,1),(12,1),(13,1)}
         5:{1,3,6,7}:{(1,1),(9,1),(14,1),(16,1),(32,1),(62,1),(85,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(35,1),(37,1),(41,1),(56,1),(62,1),(64,1),(66,1),(85,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(10,1),(16,1),(18,1),(39,1),(63,1),(65,1)}
         8:{2,4,6}:{(2,1),(11,1),(17,1),(18,1),(19,1),(104,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(29,1),(48,1)}
        10:{2,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        11:{2,4,5}:{(8,1),(22,1),(25,1),(50,1),(90,1)}
        12:{3,5,6}:{(4,1),(23,1),(26,1),(51,1),(103,1)}
        13:{4,5,7}:{(4,1),(26,1)}
        14:{2,6,7}:{(5,1),(27,1),(74,1)}
        15:{2,5,6}:{(6,1),(27,1),(28,1),(50,1),(74,1),(77,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(7,1),(21,1),(27,1),(29,1),(44,1),(52,1),(75,1),(76,1)}
        17:{1,4,6}:{(6,1),(8,1),(22,1),(28,1),(29,1),(68,1)}
        18:{2,4,7}:{(7,1),(8,1),(29,1),(31,1)}
        19:{3,4,6}:{(8,1),(25,1),(31,1),(51,1)}
        20:{2,4,6,7}:{(9,1),(14,1),(32,1),(33,1),(40,1),(57,1),(59,1)}
        21:{1,5,7}:{(9,1),(10,1),(33,1),(35,1)}
        22:{1,4,5}:{(11,1),(17,1),(34,1),(37,1),(64,1),(78,1),(81,1),(104,1)}
        23:{2,5,6}:{(10,1),(12,1),(35,1),(38,1),(101,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(36,1),(38,1),(39,1),(63,1),(95,1),(101,1),(104,1)}
        25:{3,5}:{(11,1),(19,1),(96,1)}
        26:{4,6}:{(12,1),(13,1),(104,1)}
        27:{2,5,7}:{(14,1),(15,1),(16,1),(40,1),(86,1)}
        28:{2,4,6}:{(15,1),(17,1),(34,1),(40,1),(41,1)}
        29:{1,4,7}:{(16,1),(17,1),(18,1),(40,1),(57,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(37,1),(41,1),(42,1),(43,1),(58,1),(62,1),(66,1),(79,1),(81,1),(94,1),(96,1),(102,1),(104,1)}
        31:{3,4,7}:{(18,1),(19,1),(39,1),(104,1)}
        32:{3,6,7}:{(20,1),(44,1),(52,1),(71,1)}
        33:{2,5,7}:{(20,1),(21,1),(44,1),(45,1)}
        34:{2,4,5}:{(22,1),(28,1),(47,1),(50,1),(70,1)}
        35:{1,5,6}:{(21,1),(23,1),(45,1),(48,1),(98,1)}
        36:{1,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(46,1),(48,1),(49,1),(75,1),(89,1),(98,1)}
        37:{1,3,5}:{(22,1),(25,1),(30,1),(47,1),(50,1),(87,1),(98,1),(103,1)}
        38:{2,4,6}:{(23,1),(24,1),(26,1),(48,1),(51,1),(74,1)}
        39:{3,5,7}:{(24,1),(25,1),(31,1),(51,1),(100,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(29,1),(52,1)}
        41:{3,6}:{(28,1),(47,1),(52,1)}
        42:{1,3,4,7}:{(29,1),(30,1),(31,1),(49,1),(52,1),(54,1),(69,1),(76,1),(89,1),(100,1)}
        43:{2,4,6}:{(30,1),(50,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(90,1)}
        44:{3,5,7}:{(32,1),(33,1),(56,1),(57,1)}
        45:{2,5,6}:{(33,1),(35,1),(56,1),(59,1),(93,1)}
        46:{2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(57,1),(59,1),(60,1),(63,1),(78,1),(80,1),(93,1)}
        47:{3,5}:{(34,1),(41,1),(58,1)}
        48:{1,4,6}:{(35,1),(36,1),(38,1),(59,1),(62,1),(85,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(42,1),(60,1),(62,1),(63,1)}
        50:{2,5}:{(37,1),(43,1),(64,1)}
        51:{3,6}:{(38,1),(39,1)}
        52:{3,7}:{(40,1),(41,1)}
        53:{2,3,6}:{(41,1),(43,1),(61,1),(65,1),(66,1),(96,1),(102,1)}
        54:{2,4,7}:{(42,1),(43,1),(63,1),(65,1),(67,1),(86,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(45,1),(68,1),(71,1),(87,1)}
        57:{4,7}:{(44,1),(68,1)}
        58:{3,4}:{(47,1),(70,1)}
        59:{2,4,6}:{(45,1),(46,1),(48,1),(68,1),(71,1),(74,1)}
        60:{3,5,7}:{(46,1),(47,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,3,5}:{(47,1),(50,1),(53,1),(70,1),(73,1),(103,1)}
        62:{1,3,6}:{(48,1),(49,1),(51,1),(71,1),(74,1)}
        63:{2,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
        64:{1,5}:{(50,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,3,6}:{(53,1),(55,1),(73,1),(76,1),(77,1)}
        67:{1,4,7}:{(54,1),(55,1),(75,1),(76,1)}
        68:{4,6}:{(56,1),(57,1),(78,1)}
        69:{3,4,7}:{(57,1),(58,1),(60,1),(79,1),(80,1)}
        70:{2,4}:{(58,1),(61,1),(81,1),(104,1)}
        71:{3,6}:{(59,1),(60,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,3,5}:{(61,1),(64,1),(66,1),(81,1),(84,1),(96,1)}
        74:{2,6}:{(62,1),(63,1),(85,1)}
        75:{1,5,7}:{(63,1),(64,1),(67,1),(85,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(66,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,4,7}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,4}:{(70,1),(73,1),(90,1)}
        82:{2,3,6}:{(71,1),(72,1),(74,1),(88,1),(91,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(91,1),(92,1),(98,1),(100,1),(103,1)}
        84:{2,5}:{(73,1),(77,1),(90,1)}
        85:{1,6}:{(74,1),(75,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(83,1),(94,1),(95,1),(104,1)}
        90:{2,4}:{(81,1),(84,1),(96,1)}
        91:{1,3,6}:{(82,1),(83,1),(85,1),(94,1),(97,1),(102,1)}
        92:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(97,1),(101,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(91,1),(98,1),(99,1)}
        95:{2,4,7}:{(89,1),(90,1),(92,1),(99,1),(100,1)}
        96:{3}:{(90,1)}
        97:{2,6}:{(91,1),(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(97,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(95,1),(96,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1766 :   0:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(157,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(19,1),(25,1),(47,1),(52,1),(65,1),(94,1),(102,1),(116,1),(153,1),(156,1),(166,1),(218,1)}
         2:{2,5,6,7}:{(0,1),(7,1),(8,1),(33,1),(187,1)}
         3:{1,4,6,7}:{(0,1),(8,1),(9,1),(68,1),(188,1)}
         4:{1,4,5,6}:{(9,1),(11,1),(13,1),(81,1),(84,1),(146,1),(188,1)}
         5:{1,3,4,6}:{(1,1),(13,1),(14,1),(38,1),(40,1),(84,1),(142,1),(188,1),(247,1)}
         6:{2,4,5,7}:{(1,1),(12,1),(14,1),(15,1),(33,1),(41,1),(69,1),(76,1),(87,1),(122,1),(133,1),(144,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(50,1),(217,1)}
         8:{2,4,6,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1),(219,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(19,1),(92,1),(94,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(20,1),(47,1),(49,1),(94,1),(153,1)}
        11:{2,4,5,6}:{(4,1),(17,1),(22,1),(23,1),(26,1),(57,1),(59,1),(111,1),(176,1),(219,1)}
        12:{2,3,5,7}:{(6,1),(21,1),(24,1),(25,1),(53,1),(153,1),(166,1),(218,1),(268,1)}
        13:{1,3,5,6}:{(4,1),(5,1),(19,1),(23,1),(26,1),(116,1)}
        14:{2,4,6}:{(5,1),(6,1),(24,1),(26,1),(27,1),(61,1)}
        15:{1,4,5,7}:{(6,1),(25,1),(27,1),(50,1),(94,1),(102,1),(110,1),(173,1)}
        16:{1,4,6,7}:{(7,1),(8,1),(29,1),(30,1),(245,1)}
        17:{2,4,5,7}:{(8,1),(9,1),(11,1),(29,1),(31,1),(33,1),(67,1),(69,1),(122,1)}
        18:{3,6,7}:{(8,1),(31,1),(247,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(13,1),(31,1),(33,1)}
        20:{2,4,6,7}:{(10,1),(14,1),(32,1),(33,1),(34,1),(69,1),(71,1),(122,1)}
        21:{2,3,4,7}:{(12,1),(35,1),(36,1),(69,1),(87,1),(118,1),(127,1),(185,1),(199,1),(243,1)}
        22:{1,4,5,6}:{(11,1),(29,1),(37,1),(42,1),(84,1),(206,1),(245,1)}
        23:{3,5,6}:{(11,1),(31,1),(38,1),(142,1),(209,1),(247,1)}
        24:{2,3,6}:{(12,1),(14,1),(40,1),(142,1),(247,1),(286,1)}
        25:{1,3,5,7}:{(12,1),(15,1),(36,1),(40,1),(41,1),(77,1),(285,1)}
        26:{2,5,6}:{(13,1),(14,1),(33,1),(42,1),(144,1)}
        27:{1,4,6}:{(14,1),(15,1),(40,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(41,1),(43,1),(44,1),(72,1),(75,1),(87,1),(122,1),(125,1),(130,1),(133,1),(141,1),(144,1),(146,1),(186,1),(193,1),(196,1),(252,1),(285,1),(292,1)}
        29:{1,4,5,7}:{(16,1),(17,1),(22,1),(45,1),(50,1),(94,1)}
        30:{1,3,6,7}:{(16,1),(18,1),(45,1),(46,1),(269,1)}
        31:{3,5,7}:{(17,1),(18,1),(23,1),(47,1),(153,1)}
        32:{2,3,6,7}:{(18,1),(20,1),(24,1),(46,1),(48,1),(49,1),(153,1)}
        33:{2,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,4,6,7}:{(20,1),(27,1),(49,1),(50,1),(94,1)}
        35:{2,3,4,6}:{(21,1),(24,1),(53,1),(54,1),(59,1),(106,1),(113,1),(158,1),(159,1),(175,1),(223,1),(236,1)}
        36:{1,3,4,7}:{(21,1),(25,1),(54,1),(55,1),(94,1),(101,1),(110,1),(149,1),(153,1),(267,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(45,1),(56,1),(57,1),(237,1),(269,1)}
        38:{3,4,6}:{(23,1),(47,1),(52,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(26,1),(48,1),(53,1),(57,1),(59,1),(60,1),(106,1)}
        40:{1,3,6}:{(24,1),(25,1),(27,1),(61,1),(298,1)}
        41:{2,5,7}:{(25,1),(55,1),(61,1),(103,1)}
        42:{1,5,6}:{(26,1),(27,1),(50,1),(173,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(61,1),(63,1),(64,1),(111,1),(113,1),(115,1),(174,1),(219,1),(225,1),(275,1),(298,1)}
        44:{1,3,5,7}:{(28,1),(62,1),(64,1),(65,1),(101,1),(116,1),(153,1),(163,1),(166,1),(218,1),(274,1),(303,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(37,1),(66,1),(67,1)}
        46:{2,6,7}:{(30,1),(67,1),(68,1),(286,1)}
        47:{3,4,7}:{(31,1),(38,1),(69,1)}
        48:{2,3,5,7}:{(31,1),(32,1),(33,1),(39,1),(67,1),(69,1),(70,1),(118,1)}
        49:{1,3,6,7}:{(32,1),(34,1),(40,1),(68,1),(70,1),(71,1)}
        50:{1,5,7}:{(33,1),(34,1),(42,1)}
        51:{1,2,4,6,7}:{(34,1),(43,1),(71,1),(72,1),(73,1),(122,1),(124,1),(125,1),(208,1),(254,1),(292,1)}
        52:{3,4,5}:{(38,1),(76,1),(209,1),(251,1)}
        53:{2,3,5}:{(35,1),(76,1),(77,1),(144,1),(209,1),(263,1)}
        54:{1,3,4,6}:{(35,1),(36,1),(40,1),(77,1),(78,1),(84,1),(131,1),(137,1),(140,1),(142,1),(190,1),(196,1),(199,1),(262,1)}
        55:{2,4,7}:{(36,1),(41,1),(78,1),(79,1),(181,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(66,1),(74,1),(80,1),(84,1),(137,1),(142,1)}
        57:{2,5,6}:{(37,1),(67,1),(80,1),(81,1),(263,1),(286,1)}
        58:{1,2,5,7}:{(41,1),(75,1),(82,1),(83,1),(130,1),(193,1),(285,1)}
        59:{2,4,6}:{(38,1),(39,1),(69,1),(76,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(42,1),(70,1),(77,1),(81,1),(84,1),(85,1),(137,1),(142,1)}
        61:{2,6}:{(40,1),(41,1)}
        62:{2,3,5,7}:{(41,1),(44,1),(79,1),(83,1),(86,1),(87,1),(127,1),(134,1),(144,1),(191,1),(193,1)}
        63:{1,2,5,6}:{(42,1),(43,1),(72,1),(85,1),(88,1),(130,1),(144,1),(187,1),(203,1),(207,1),(253,1)}
        64:{1,3,6}:{(43,1),(44,1),(86,1),(142,1),(247,1),(291,1)}
        65:{1,3,4,7}:{(44,1),(87,1),(89,1),(125,1),(185,1),(196,1),(199,1),(251,1)}
        66:{1,3,4,7}:{(45,1),(47,1),(56,1),(91,1),(94,1),(149,1),(153,1)}
        67:{2,5,7}:{(45,1),(46,1),(57,1),(91,1),(92,1)}
        68:{1,6,7}:{(46,1),(92,1),(298,1)}
        69:{2,4,7}:{(47,1),(48,1),(59,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(50,1),(60,1),(92,1),(94,1),(95,1),(149,1),(153,1)}
        71:{2,6,7}:{(49,1),(61,1),(95,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(63,1),(95,1),(97,1),(155,1),(213,1),(239,1),(276,1)}
        73:{1,3,6,7}:{(51,1),(64,1),(96,1),(97,1),(153,1),(298,1),(303,1)}
        74:{1,3,4,5}:{(52,1),(56,1),(99,1),(102,1),(161,1),(166,1),(228,1),(237,1)}
        75:{1,2,4,7}:{(55,1),(58,1),(100,1),(101,1),(110,1),(160,1),(213,1),(267,1)}
        76:{2,4,5}:{(52,1),(53,1),(59,1),(102,1),(223,1)}
        77:{1,3,5}:{(53,1),(54,1),(102,1),(103,1),(166,1),(173,1),(282,1)}
        78:{2,4,6}:{(54,1),(55,1),(61,1),(103,1),(104,1),(167,1),(170,1),(222,1)}
        79:{2,3,7}:{(55,1),(101,1),(104,1),(153,1)}
        80:{2,4,6}:{(56,1),(57,1),(91,1),(99,1),(106,1),(107,1),(170,1)}
        81:{1,5,6}:{(57,1),(92,1),(107,1),(282,1),(298,1)}
        82:{1,2,6}:{(58,1),(61,1),(109,1),(225,1),(298,1)}
        83:{1,3,5,7}:{(58,1),(62,1),(101,1),(109,1),(110,1),(163,1),(173,1)}
        84:{1,4,6}:{(59,1),(60,1),(94,1),(102,1),(111,1)}
        85:{2,5,6}:{(60,1),(61,1),(95,1),(103,1),(111,1),(170,1)}
        86:{2,3,6}:{(61,1),(62,1),(64,1),(109,1),(113,1),(225,1)}
        87:{2,4,7}:{(62,1),(65,1),(110,1),(113,1),(167,1),(223,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(97,1),(112,1),(115,1),(116,1),(163,1),(235,1),(282,1),(298,1)}
        89:{1,3,4,6}:{(64,1),(65,1),(113,1),(115,1),(116,1),(175,1)}
        90:{1,3,4,5,7}:{(65,1),(114,1),(116,1),(117,1),(156,1),(165,1),(180,1),(218,1),(229,1),(232,1),(274,1),(280,1),(281,1),(303,1)}
        91:{2,4,7}:{(66,1),(67,1),(80,1),(118,1),(119,1),(181,1)}
        92:{1,5,7}:{(67,1),(68,1),(81,1),(119,1)}
        93:{1,2,6,7}:{(68,1),(71,1),(82,1),(120,1),(121,1),(254,1),(286,1),(307,1)}
        94:{1,4,7}:{(69,1),(70,1),(84,1),(122,1)}
        95:{2,5,7}:{(70,1),(71,1),(85,1),(122,1),(181,1)}
        96:{2,3,6,7}:{(71,1),(73,1),(86,1),(121,1),(123,1),(124,1),(247,1),(254,1),(286,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(88,1),(123,1),(125,1),(242,1),(285,1)}
        98:{1,3,4,6,7}:{(73,1),(89,1),(124,1),(125,1),(126,1),(185,1),(188,1),(247,1)}
        99:{2,4,5}:{(74,1),(80,1),(128,1),(129,1),(194,1),(256,1),(263,1)}
       100:{1,2,4,6}:{(75,1),(78,1),(82,1),(130,1),(131,1),(140,1),(192,1),(196,1),(203,1),(249,1),(262,1)}
       101:{1,3,7}:{(75,1),(79,1),(127,1),(131,1)}
       102:{1,4,5}:{(76,1),(77,1),(84,1),(133,1),(196,1)}
       103:{2,5}:{(77,1),(78,1)}
       104:{2,3,6}:{(78,1),(79,1),(131,1),(134,1),(142,1),(250,1)}
       105:{2,3,4,7}:{(79,1),(87,1),(132,1),(135,1),(136,1),(185,1),(243,1),(251,1),(261,1),(310,1)}
       106:{2,3,6}:{(80,1),(118,1),(128,1),(137,1),(142,1)}
       107:{1,4,6}:{(80,1),(81,1),(119,1),(129,1),(137,1)}
       108:{1,2,5,6}:{(81,1),(82,1),(85,1),(120,1),(130,1),(138,1),(139,1),(253,1),(263,1),(286,1),(296,1)}
       109:{1,3,6}:{(82,1),(83,1),(86,1),(140,1)}
       110:{1,4,7}:{(83,1),(87,1),(140,1),(196,1)}
       111:{2,4,6}:{(84,1),(85,1),(122,1),(133,1),(142,1)}
       112:{2,3,5,6}:{(85,1),(86,1),(88,1),(123,1),(134,1),(139,1),(142,1),(143,1),(144,1),(187,1),(191,1),(204,1),(209,1),(247,1),(253,1),(263,1),(286,1),(291,1)}
       113:{2,4,6}:{(86,1),(87,1),(89,1),(140,1),(144,1)}
       114:{2,4,5,7}:{(87,1),(90,1),(136,1),(141,1),(144,1),(145,1),(193,1),(200,1),(211,1),(252,1),(261,1),(292,1)}
       115:{1,4,6}:{(88,1),(125,1),(143,1),(146,1),(196,1)}
       116:{1,3,5}:{(89,1),(144,1),(146,1),(209,1)}
       117:{1,3,4,6}:{(90,1),(145,1),(147,1),(188,1),(198,1),(247,1),(258,1),(260,1),(291,1)}
       118:{2,3,7}:{(91,1),(106,1),(149,1),(153,1)}
       119:{1,4,7}:{(91,1),(92,1),(107,1),(149,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(95,1),(108,1),(150,1),(151,1),(268,1),(276,1),(306,1)}
       121:{1,3,6,7}:{(93,1),(96,1),(109,1),(151,1),(152,1),(269,1)}
       122:{2,4,7}:{(94,1),(95,1),(111,1),(153,1)}
       123:{2,3,5,7}:{(95,1),(96,1),(97,1),(112,1),(151,1),(153,1),(154,1),(155,1),(214,1),(218,1),(268,1),(276,1),(303,1)}
       124:{2,4,6,7}:{(96,1),(98,1),(113,1),(152,1),(154,1),(155,1),(219,1)}
       125:{1,4,7}:{(97,1),(115,1),(154,1)}
       126:{1,3,5,7}:{(98,1),(116,1),(155,1),(156,1),(157,1),(218,1)}
       127:{2,3,7}:{(101,1),(159,1),(160,1),(303,1)}
       128:{2,3,5}:{(99,1),(106,1),(158,1),(161,1),(166,1)}
       129:{1,4,5}:{(99,1),(107,1),(161,1),(277,1),(282,1)}
       130:{1,2,5}:{(100,1),(103,1),(163,1),(173,1),(224,1),(282,1)}
       131:{1,3,6}:{(100,1),(101,1),(104,1),(159,1),(163,1),(272,1)}
       132:{1,3,4,7}:{(101,1),(105,1),(110,1),(160,1),(164,1),(165,1),(267,1),(280,1),(303,1),(313,1)}
       133:{2,4,5}:{(102,1),(103,1),(111,1),(166,1),(167,1)}
       134:{2,3,5}:{(103,1),(104,1),(163,1),(166,1),(167,1)}
       135:{2,3,4,6}:{(104,1),(105,1),(113,1),(164,1),(167,1),(168,1),(169,1),(175,1),(233,1),(236,1),(273,1),(302,1)}
       136:{2,3,5,7}:{(105,1),(114,1),(165,1),(168,1),(169,1),(218,1),(268,1),(274,1),(303,1)}
       137:{1,3,6}:{(106,1),(107,1),(149,1),(161,1),(170,1)}
       138:{1,2,4,6}:{(107,1),(108,1),(111,1),(150,1),(162,1),(170,1),(171,1),(172,1),(236,1),(275,1),(304,1),(312,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(112,1),(151,1),(163,1),(171,1),(172,1),(173,1),(217,1),(237,1),(269,1)}
       140:{1,4,6}:{(109,1),(110,1),(113,1),(173,1)}
       141:{1,4,5,7}:{(110,1),(114,1),(165,1),(173,1),(174,1),(229,1),(239,1),(280,1)}
       142:{3,6}:{(111,1),(153,1),(166,1)}
       143:{2,4,6}:{(112,1),(115,1),(154,1),(167,1),(172,1),(175,1),(176,1),(223,1)}
       144:{2,5}:{(113,1),(116,1),(173,1)}
       145:{2,4,6}:{(114,1),(117,1),(169,1),(174,1),(177,1),(225,1)}
       146:{1,4,5}:{(115,1),(116,1),(176,1),(282,1)}
       147:{1,3,5,6}:{(116,1),(117,1),(177,1),(179,1),(180,1),(240,1)}
       148:{1,3,4,6,7}:{(117,1),(178,1),(180,1),(221,1),(231,1),(271,1),(280,1),(281,1),(303,1)}
       149:{1,3,7}:{(118,1),(119,1),(137,1),(181,1)}
       150:{1,2,4,7}:{(119,1),(120,1),(122,1),(138,1),(181,1),(182,1),(183,1),(243,1),(292,1),(311,1),(314,1)}
       151:{1,3,5,7}:{(120,1),(121,1),(123,1),(139,1),(182,1),(183,1),(184,1)}
       152:{1,4,6,7}:{(121,1),(124,1),(140,1),(183,1),(184,1),(245,1)}
       153:{3,7}:{(122,1),(142,1)}
       154:{2,4,7}:{(123,1),(125,1),(143,1),(183,1),(185,1)}
       155:{2,5,7}:{(124,1),(126,1),(144,1),(184,1),(187,1)}
       156:{1,4,5,7}:{(125,1),(126,1),(146,1),(186,1),(188,1),(285,1)}
       157:{1,3,5,6}:{(126,1),(187,1),(188,1),(247,1)}
       158:{2,3,4}:{(128,1),(190,1),(199,1),(256,1),(288,1)}
       159:{2,3,6}:{(127,1),(131,1),(191,1),(192,1),(288,1),(291,1)}
       160:{2,4,7}:{(127,1),(132,1),(192,1),(193,1),(314,1)}
       161:{1,3,5}:{(128,1),(129,1),(137,1),(190,1),(194,1)}
       162:{1,2,4,5}:{(129,1),(130,1),(133,1),(138,1),(194,1),(195,1),(196,1),(206,1),(249,1),(252,1),(256,1),(263,1),(293,1),(308,1)}
       163:{1,3,5}:{(130,1),(131,1),(134,1),(191,1),(196,1)}
       164:{1,3,4,6}:{(131,1),(132,1),(135,1),(140,1),(192,1),(196,1),(197,1),(198,1),(251,1),(258,1),(262,1),(289,1),(291,1),(309,1)}
       165:{1,3,5,7}:{(132,1),(136,1),(141,1),(193,1),(197,1),(198,1),(285,1)}
       166:{3,5}:{(133,1),(142,1),(199,1)}
       167:{2,4}:{(134,1),(196,1),(199,1)}
       168:{2,3,5}:{(135,1),(144,1),(197,1),(200,1),(209,1),(263,1)}
       169:{2,3,6}:{(136,1),(145,1),(198,1),(247,1),(286,1),(291,1)}
       170:{2,6}:{(137,1),(181,1),(194,1)}
       171:{1,3,6}:{(138,1),(142,1),(182,1),(195,1),(204,1),(291,1)}
       172:{1,4,6}:{(139,1),(143,1),(183,1),(196,1),(206,1)}
       173:{1,5}:{(140,1),(144,1)}
       174:{1,4,6}:{(141,1),(145,1),(198,1),(207,1)}
       175:{3,4,6}:{(142,1),(143,1),(185,1),(199,1),(209,1),(247,1),(251,1),(291,1)}
       176:{2,4,5}:{(143,1),(144,1),(146,1),(206,1),(209,1),(263,1)}
       177:{2,5,6}:{(144,1),(145,1),(147,1),(207,1),(211,1)}
       178:{2,4,6,7}:{(145,1),(148,1),(202,1),(208,1),(211,1),(254,1),(261,1),(292,1)}
       179:{1,4,5,6}:{(146,1),(147,1),(188,1),(210,1),(212,1),(258,1),(296,1)}
       180:{1,3,5,7}:{(147,1),(148,1),(211,1),(212,1),(266,1)}
       181:{2,7}:{(149,1),(170,1)}
       182:{1,3,7}:{(150,1),(153,1),(171,1),(214,1),(303,1)}
       183:{1,4,7}:{(151,1),(154,1),(172,1)}
       184:{1,5,7}:{(152,1),(155,1),(173,1),(217,1)}
       185:{3,4,7}:{(153,1),(154,1),(175,1),(218,1),(303,1)}
       186:{2,4,5,7}:{(154,1),(155,1),(156,1),(176,1),(216,1),(218,1),(219,1),(268,1)}
       187:{2,5,6}:{(155,1),(157,1),(217,1),(219,1)}
       188:{1,4,6}:{(156,1),(157,1),(219,1),(298,1)}
       189:{1,3,5,6,7}:{(157,1),(180,1),(220,1),(221,1),(271,1)}
       190:{1,3,4}:{(158,1),(161,1),(222,1),(272,1),(277,1)}
       191:{2,3,5}:{(159,1),(163,1),(223,1),(224,1),(274,1)}
       192:{2,4,6}:{(159,1),(160,1),(164,1),(223,1),(224,1),(225,1),(300,1),(312,1)}
       193:{2,5,7}:{(160,1),(165,1),(224,1),(225,1)}
       194:{2,5}:{(161,1),(170,1),(222,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(227,1),(228,1),(272,1),(274,1)}
       196:{1,4}:{(163,1),(167,1),(223,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(224,1),(229,1),(274,1),(282,1)}
       198:{1,3,6}:{(165,1),(169,1),(174,1),(225,1),(298,1)}
       199:{3,4}:{(166,1),(167,1)}
       200:{2,4,5}:{(167,1),(168,1),(229,1),(232,1),(233,1)}
       201:{2,3,5,6}:{(168,1),(169,1),(177,1),(230,1),(233,1),(234,1),(240,1),(283,1),(302,1)}
       202:{2,3,6,7}:{(169,1),(178,1),(231,1),(234,1),(271,1),(299,1),(303,1)}
       203:{1,2,6}:{(170,1),(213,1),(226,1),(235,1),(312,1)}
       204:{2,3,6}:{(170,1),(171,1),(214,1),(227,1),(235,1),(236,1),(312,1)}
       205:{1,3,4,6}:{(171,1),(172,1),(175,1),(215,1),(228,1),(236,1),(237,1),(269,1)}
       206:{1,4,5}:{(172,1),(173,1),(176,1),(237,1)}
       207:{1,5,6}:{(173,1),(174,1),(177,1),(239,1)}
       208:{1,4,6,7}:{(174,1),(178,1),(231,1),(239,1),(280,1)}
       209:{3,5}:{(175,1),(176,1)}
       210:{2,4,5,6}:{(176,1),(177,1),(179,1),(219,1),(233,1),(238,1),(240,1),(241,1),(275,1),(283,1)}
       211:{2,5,7}:{(177,1),(178,1),(180,1),(239,1)}
       212:{1,4,5,7}:{(179,1),(180,1),(221,1),(241,1),(280,1),(306,1)}
       213:{1,2,7}:{(181,1),(203,1),(242,1),(314,1)}
       214:{2,3,7}:{(181,1),(182,1),(204,1),(242,1),(243,1),(314,1)}
       215:{1,3,4,7}:{(182,1),(183,1),(185,1),(205,1),(243,1),(244,1)}
       216:{1,4,5,7}:{(183,1),(184,1),(186,1),(206,1),(244,1),(245,1)}
       217:{1,5,6}:{(184,1),(187,1),(245,1)}
       218:{3,5,7}:{(185,1),(186,1),(209,1),(247,1)}
       219:{2,4,6}:{(186,1),(187,1),(188,1),(245,1),(247,1),(286,1)}
       220:{2,5,6,7}:{(187,1),(189,1),(211,1),(246,1),(248,1)}
       221:{1,4,6,7}:{(188,1),(189,1),(212,1),(248,1),(307,1)}
       222:{2,4}:{(190,1),(194,1),(250,1)}
       223:{2,4}:{(191,1),(196,1),(251,1)}
       224:{2,5}:{(192,1),(197,1)}
       225:{2,6}:{(193,1),(198,1)}
       226:{1,2,5}:{(194,1),(203,1),(249,1),(255,1),(308,1)}
       227:{2,3,5}:{(194,1),(195,1),(204,1),(250,1),(255,1),(256,1),(263,1),(288,1),(308,1)}
       228:{1,3,4}:{(195,1),(196,1),(199,1),(251,1),(256,1)}
       229:{1,4,5}:{(196,1),(197,1),(200,1),(252,1),(258,1)}
       230:{1,3,5,6}:{(197,1),(198,1),(201,1),(207,1),(253,1),(258,1),(259,1),(291,1),(296,1),(309,1)}
       231:{1,3,6,7}:{(198,1),(202,1),(208,1),(254,1),(259,1),(307,1)}
       232:{3,4,5}:{(199,1),(200,1),(209,1),(260,1)}
       233:{2,4,6}:{(200,1),(201,1),(258,1),(260,1),(261,1)}
       234:{2,3,5,7}:{(201,1),(202,1),(211,1),(259,1),(261,1),(266,1),(297,1),(310,1)}
       235:{1,3,6}:{(203,1),(204,1),(242,1),(255,1),(262,1)}
       236:{2,4,6}:{(204,1),(205,1),(243,1),(256,1),(262,1),(263,1),(286,1)}
       237:{1,3,5}:{(205,1),(206,1),(209,1),(263,1)}
       238:{1,4,5,6}:{(206,1),(207,1),(210,1),(245,1),(258,1),(264,1),(265,1)}
       239:{1,5,7}:{(207,1),(208,1),(211,1)}
       240:{3,5,6}:{(209,1),(210,1),(247,1),(260,1),(266,1),(291,1)}
       241:{2,4,5,7}:{(210,1),(211,1),(212,1),(248,1),(261,1),(265,1),(266,1),(292,1),(297,1)}
       242:{1,3,7}:{(213,1),(214,1),(235,1),(267,1)}
       243:{2,4,7}:{(214,1),(215,1),(236,1),(267,1),(268,1)}
       244:{1,3,5,7}:{(215,1),(216,1),(218,1),(237,1),(268,1),(269,1)}
       245:{1,4,6}:{(216,1),(217,1),(219,1),(269,1)}
       246:{1,5,6,7}:{(217,1),(220,1),(239,1),(270,1)}
       247:{3,6}:{(218,1),(219,1)}
       248:{2,4,6,7}:{(219,1),(220,1),(221,1),(241,1),(270,1),(271,1),(299,1)}
       249:{1,2,4}:{(222,1),(226,1),(272,1),(277,1),(300,1)}
       250:{2,3}:{(222,1),(272,1)}
       251:{3,4}:{(223,1),(274,1)}
       252:{2,4,5}:{(223,1),(224,1),(229,1),(274,1),(275,1)}
       253:{2,5,6}:{(224,1),(225,1),(230,1),(275,1),(276,1),(312,1)}
       254:{2,6,7}:{(225,1),(231,1),(276,1)}
       255:{1,3,5}:{(226,1),(227,1),(235,1),(272,1),(277,1),(282,1)}
       256:{2,4}:{(227,1),(228,1),(277,1)}
       257:{1,3,4,5}:{(228,1),(229,1),(232,1),(237,1),(274,1),(278,1),(279,1),(301,1)}
       258:{1,4,6}:{(229,1),(230,1),(233,1),(275,1),(280,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(234,1),(239,1),(276,1),(280,1),(303,1),(306,1),(313,1)}
       260:{3,4,6}:{(232,1),(233,1),(240,1),(281,1)}
       261:{2,4,7}:{(233,1),(234,1),(280,1),(281,1)}
       262:{1,4,6}:{(235,1),(236,1),(267,1),(277,1),(282,1),(298,1)}
       263:{2,5}:{(236,1),(237,1),(282,1)}
       264:{1,3,5,6}:{(237,1),(238,1),(240,1),(269,1),(279,1),(283,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(270,1),(280,1),(284,1)}
       266:{3,5,7}:{(240,1),(241,1),(271,1),(281,1),(303,1)}
       267:{1,4,7}:{(242,1),(243,1),(262,1),(285,1)}
       268:{2,5,7}:{(243,1),(244,1),(263,1),(285,1),(286,1)}
       269:{1,3,6}:{(244,1),(245,1),(247,1),(286,1)}
       270:{1,4,6,7}:{(245,1),(246,1),(248,1),(265,1),(287,1)}
       271:{3,6,7}:{(247,1),(248,1),(266,1)}
       272:{1,3}:{(249,1),(250,1),(288,1)}
       273:{2,3,4}:{(250,1),(251,1),(256,1),(289,1),(290,1)}
       274:{3,5}:{(251,1),(252,1),(291,1)}
       275:{2,4,6}:{(252,1),(253,1),(258,1),(291,1),(292,1)}
       276:{2,5,7}:{(253,1),(254,1),(259,1),(292,1),(314,1)}
       277:{1,4}:{(255,1),(256,1)}
       278:{2,4,5}:{(256,1),(257,1),(263,1),(290,1),(293,1),(294,1),(308,1)}
       279:{1,3,4,6}:{(257,1),(258,1),(260,1),(264,1),(291,1),(294,1),(295,1),(309,1)}
       280:{1,4,7}:{(258,1),(259,1),(261,1),(292,1)}
       281:{3,4,7}:{(260,1),(261,1),(266,1)}
       282:{1,5}:{(262,1),(263,1)}
       283:{2,5,6}:{(263,1),(264,1),(286,1),(294,1),(296,1),(297,1)}
       284:{1,3,5,7}:{(264,1),(265,1),(266,1),(287,1),(295,1),(297,1)}
       285:{1,5,7}:{(267,1),(268,1),(282,1),(298,1)}
       286:{2,6}:{(268,1),(269,1),(298,1)}
       287:{1,3,6,7}:{(269,1),(270,1),(271,1),(284,1),(299,1)}
       288:{2,3}:{(272,1),(300,1)}
       289:{1,3,4}:{(272,1),(273,1),(277,1),(300,1),(301,1)}
       290:{2,3,5}:{(273,1),(274,1),(278,1),(301,1),(302,1)}
       291:{3,6}:{(274,1),(275,1),(303,1)}
       292:{2,4,7}:{(275,1),(276,1),(280,1),(303,1)}
       293:{1,4,5}:{(277,1),(278,1),(282,1),(301,1),(304,1)}
       294:{2,4,6}:{(278,1),(279,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,7}:{(279,1),(280,1),(281,1),(284,1),(303,1),(305,1),(313,1)}
       296:{1,5,6}:{(282,1),(283,1),(298,1),(304,1),(306,1)}
       297:{2,5,7}:{(283,1),(284,1),(299,1),(305,1),(306,1)}
       298:{1,6}:{(285,1),(286,1)}
       299:{2,6,7}:{(286,1),(287,1),(297,1),(307,1)}
       300:{2,4}:{(288,1),(289,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,3,6}:{(290,1),(291,1),(294,1),(309,1),(310,1)}
       303:{3,7}:{(291,1),(292,1)}
       304:{1,4,6}:{(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,7}:{(296,1),(297,1),(307,1),(311,1)}
       307:{1,6,7}:{(298,1),(299,1),(306,1)}
       308:{2,5}:{(300,1),(301,1),(312,1)}
       309:{1,3,6}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,7}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,7}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1767 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(13,1),(80,1),(148,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(26,1),(55,1),(119,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(111,1),(184,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(34,1),(43,1),(93,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(155,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(13,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(37,1),(40,1)}
         7:{3,4,5,6}:{(12,1),(16,1),(222,1),(241,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(40,1),(82,1),(94,1),(103,1),(218,1),(226,1),(230,1),(242,1),(288,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(65,1),(125,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(21,1),(22,1),(26,1),(55,1),(59,1),(65,1),(111,1)}
        11:{2,5,6,7}:{(4,1),(22,1),(23,1),(192,1)}
        12:{3,4,5,7}:{(5,1),(7,1),(24,1),(184,1),(263,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,3,5,6,7}:{(6,1),(23,1),(26,1),(27,1),(59,1),(62,1),(65,1)}
        15:{1,3,4,5,6}:{(7,1),(21,1),(28,1),(30,1),(52,1),(68,1),(71,1),(106,1),(131,1),(177,1),(193,1)}
        16:{2,4,5,6}:{(7,1),(24,1),(29,1),(30,1),(207,1)}
        17:{2,3,4,6}:{(8,1),(29,1),(31,1),(135,1),(207,1),(253,1),(261,1),(304,1)}
        18:{1,3,4,5,7}:{(8,1),(31,1),(32,1),(62,1),(74,1),(113,1),(122,1),(127,1),(134,1),(195,1),(208,1),(260,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(37,1),(77,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(33,1),(36,1),(41,1),(78,1),(83,1),(89,1),(144,1),(152,1),(155,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(36,1),(37,1),(38,1),(85,1)}
        23:{1,5,6,7}:{(11,1),(38,1),(228,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(230,1)}
        25:{2,3,4,6,7}:{(13,1),(17,1),(37,1),(40,1),(42,1),(82,1),(147,1),(154,1),(160,1),(230,1)}
        26:{1,4,6,7}:{(13,1),(14,1),(41,1),(43,1)}
        27:{2,5,6,7}:{(14,1),(43,1),(85,1),(88,1)}
        28:{2,4,5,6}:{(15,1),(36,1),(45,1),(46,1),(96,1),(168,1),(229,1)}
        29:{2,3,5,6}:{(16,1),(17,1),(40,1),(47,1),(222,1),(229,1)}
        30:{1,4,5,6}:{(16,1),(41,1),(47,1),(48,1),(171,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(47,1),(49,1),(100,1),(101,1),(171,1),(287,1)}
        32:{2,4,5,7}:{(18,1),(49,1),(51,1),(88,1),(149,1),(158,1),(164,1),(172,1)}
        33:{3,4,5,7}:{(19,1),(52,1),(53,1),(125,1),(298,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(53,1),(55,1)}
        35:{1,3,5,6,7}:{(20,1),(23,1),(55,1),(56,1),(59,1),(108,1),(111,1)}
        36:{2,4,5,7}:{(21,1),(22,1),(28,1),(57,1),(58,1),(114,1),(189,1),(192,1)}
        37:{2,3,6,7}:{(22,1),(57,1),(59,1),(65,1),(111,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(58,1),(59,1)}
        39:{1,2,5,6,7}:{(23,1),(27,1),(56,1),(60,1),(61,1),(116,1),(120,1),(179,1),(192,1),(262,1),(266,1),(301,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(29,1),(62,1),(184,1),(192,1)}
        41:{1,4,5,7}:{(24,1),(26,1),(30,1),(62,1),(63,1),(195,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(59,1),(62,1),(64,1),(65,1),(113,1),(122,1),(123,1),(191,1),(195,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(65,1)}
        44:{2,3,5,6,7}:{(27,1),(61,1),(65,1),(66,1),(117,1),(121,1),(125,1),(192,1),(200,1),(250,1),(301,1),(314,1)}
        45:{2,3,5,6}:{(28,1),(57,1),(67,1),(68,1),(71,1),(177,1)}
        46:{1,4,5,6}:{(28,1),(58,1),(68,1),(205,1),(262,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(31,1),(62,1),(70,1),(71,1),(262,1)}
        48:{2,4,5,6}:{(30,1),(63,1),(70,1),(71,1),(133,1)}
        49:{2,4,6}:{(31,1),(32,1),(70,1),(73,1)}
        50:{1,2,4,5,7}:{(32,1),(72,1),(74,1),(120,1),(138,1),(186,1),(195,1),(201,1),(208,1),(209,1),(260,1),(264,1),(302,1)}
        51:{2,3,5,7}:{(32,1),(73,1),(74,1),(75,1),(137,1),(187,1),(202,1)}
        52:{3,4,5,6}:{(33,1),(76,1),(163,1),(307,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(76,1),(77,1),(78,1),(279,1)}
        54:{2,3,4,6,7}:{(34,1),(37,1),(77,1),(79,1),(82,1),(92,1),(139,1),(154,1),(219,1),(279,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(78,1),(80,1)}
        56:{2,5,6,7}:{(35,1),(80,1),(85,1),(143,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(45,1),(82,1),(83,1),(89,1),(144,1)}
        58:{1,4,5,7}:{(36,1),(38,1),(46,1),(83,1),(225,1),(228,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(83,1),(85,1)}
        60:{1,2,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(84,1),(85,1),(86,1),(87,1),(154,1),(287,1),(289,1),(310,1),(311,1)}
        61:{1,3,5,6,7}:{(39,1),(44,1),(81,1),(86,1),(87,1),(153,1),(155,1),(157,1),(216,1),(228,1),(234,1),(283,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(42,1),(47,1),(88,1),(89,1),(228,1)}
        63:{2,4,5,7}:{(41,1),(43,1),(48,1),(88,1),(89,1),(158,1)}
        64:{2,4,6,7}:{(42,1),(49,1),(85,1),(88,1),(91,1),(149,1),(158,1)}
        65:{3,6,7}:{(43,1),(89,1)}
        66:{2,4,6,7}:{(44,1),(87,1),(92,1),(93,1),(158,1),(232,1),(279,1),(310,1)}
        67:{2,3,4,6}:{(45,1),(82,1),(94,1),(95,1),(100,1),(168,1),(213,1),(237,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(83,1),(95,1),(96,1)}
        69:{1,2,4,5,6}:{(46,1),(48,1),(84,1),(96,1),(97,1),(98,1),(141,1),(156,1),(165,1),(168,1),(171,1),(211,1),(229,1),(240,1),(242,1),(275,1),(287,1),(289,1),(291,1),(308,1),(310,1),(311,1)}
        70:{2,5,6}:{(47,1),(49,1),(88,1)}
        71:{3,5,6}:{(48,1),(89,1),(100,1)}
        72:{1,2,4,6}:{(49,1),(50,1),(98,1),(101,1),(171,1),(173,1),(287,1),(289,1),(311,1)}
        73:{2,3,6}:{(49,1),(51,1),(101,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(174,1),(223,1),(235,1),(288,1)}
        75:{2,3,4,7}:{(51,1),(102,1),(104,1),(158,1),(236,1)}
        76:{2,4,5,6}:{(52,1),(53,1),(105,1),(106,1),(295,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(105,1),(108,1),(125,1),(192,1)}
        78:{1,4,5,7}:{(53,1),(55,1),(106,1),(108,1),(109,1),(251,1)}
        79:{1,3,4,6,7}:{(54,1),(55,1),(59,1),(108,1),(110,1),(111,1),(113,1),(175,1),(181,1),(182,1),(191,1),(251,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(109,1),(111,1)}
        81:{2,3,5,6,7}:{(56,1),(61,1),(111,1),(112,1),(117,1),(180,1),(184,1),(192,1),(194,1),(256,1),(266,1),(304,1)}
        82:{2,3,4,7}:{(57,1),(67,1),(113,1),(122,1),(181,1),(189,1),(257,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(68,1),(113,1),(114,1)}
        84:{1,2,4,5,7}:{(58,1),(60,1),(63,1),(69,1),(109,1),(114,1),(115,1),(119,1),(120,1),(179,1),(186,1),(189,1),(192,1),(195,1),(251,1),(260,1),(264,1),(299,1),(302,1)}
        85:{2,6,7}:{(59,1),(114,1)}
        86:{1,3,6,7}:{(60,1),(65,1),(111,1),(115,1),(117,1),(303,1),(304,1),(314,1)}
        87:{1,4,6,7}:{(61,1),(66,1),(112,1),(119,1),(195,1),(251,1),(265,1),(300,1)}
        88:{2,5,7}:{(62,1),(64,1),(70,1)}
        89:{3,5,7}:{(63,1),(65,1),(71,1),(122,1)}
        90:{1,2,4,6,7}:{(64,1),(72,1),(116,1),(120,1),(123,1),(186,1),(191,1),(195,1),(198,1)}
        91:{2,3,6,7}:{(64,1),(65,1),(73,1),(121,1),(123,1),(187,1)}
        92:{3,4,6,7}:{(65,1),(66,1),(122,1),(125,1),(197,1),(298,1),(314,1)}
        93:{2,4,5,7}:{(66,1),(119,1),(125,1),(126,1),(192,1)}
        94:{2,3,4,5}:{(67,1),(127,1),(134,1),(206,1),(247,1),(267,1)}
        95:{1,3,4,6}:{(67,1),(68,1),(113,1),(127,1),(128,1),(203,1),(205,1)}
        96:{2,5,6}:{(68,1),(114,1),(128,1)}
        97:{1,3,5,6}:{(69,1),(71,1),(115,1),(130,1),(131,1),(177,1),(203,1),(270,1),(271,1),(303,1),(304,1),(313,1),(314,1)}
        98:{1,2,5,6}:{(70,1),(72,1),(120,1),(132,1),(209,1),(262,1),(266,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(73,1),(121,1),(132,1),(133,1),(137,1)}
       100:{3,4,6}:{(71,1),(122,1),(133,1),(134,1)}
       101:{1,3,6}:{(72,1),(73,1),(74,1),(135,1),(304,1)}
       102:{2,3,4,6}:{(73,1),(75,1),(133,1),(136,1),(137,1)}
       103:{2,3,5,7}:{(74,1),(135,1),(138,1),(209,1),(257,1),(267,1),(302,1)}
       104:{1,3,4,7}:{(74,1),(75,1),(136,1),(138,1),(195,1),(263,1),(268,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(139,1),(140,1),(163,1),(229,1)}
       106:{1,4,5,6}:{(76,1),(78,1),(140,1),(141,1),(275,1)}
       107:{2,3,4,5,7}:{(77,1),(82,1),(94,1),(139,1),(142,1),(159,1),(226,1),(277,1),(279,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(140,1),(143,1),(144,1),(228,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(141,1),(143,1),(144,1),(217,1)}
       110:{2,4,6,7}:{(79,1),(85,1),(143,1),(146,1),(149,1),(210,1),(217,1)}
       111:{3,6,7}:{(80,1),(144,1)}
       112:{2,4,6,7}:{(81,1),(87,1),(147,1),(148,1),(217,1),(230,1),(281,1),(289,1)}
       113:{1,3,4,7}:{(82,1),(83,1),(95,1),(149,1),(223,1),(225,1)}
       114:{2,5,7}:{(83,1),(85,1),(96,1),(149,1)}
       115:{1,3,5,7}:{(84,1),(86,1),(89,1),(97,1),(144,1),(151,1),(152,1),(223,1),(288,1),(309,1)}
       116:{1,2,6,7}:{(85,1),(150,1),(153,1),(311,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(151,1),(153,1),(154,1),(286,1),(311,1)}
       118:{1,3,4,6,7}:{(86,1),(87,1),(92,1),(147,1),(152,1),(154,1),(155,1),(227,1)}
       119:{1,4,5,7}:{(87,1),(93,1),(148,1),(155,1),(156,1),(228,1)}
       120:{1,2,5,7}:{(88,1),(90,1),(98,1),(157,1),(228,1),(233,1)}
       121:{2,3,5,7}:{(88,1),(89,1),(91,1),(99,1),(157,1),(158,1)}
       122:{3,4,7}:{(89,1),(100,1),(158,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(101,1),(157,1),(160,1),(223,1)}
       124:{2,3,4,6,7}:{(91,1),(92,1),(102,1),(154,1),(158,1),(161,1),(162,1),(224,1),(232,1),(286,1)}
       125:{3,5,7}:{(92,1),(93,1),(163,1)}
       126:{2,4,5,6}:{(93,1),(156,1),(163,1),(229,1),(232,1),(310,1)}
       127:{1,3,4,5}:{(94,1),(95,1),(164,1),(235,1),(240,1)}
       128:{2,4,6}:{(95,1),(96,1),(149,1),(164,1),(166,1)}
       129:{1,2,5,6}:{(96,1),(150,1),(165,1),(167,1),(291,1),(311,1)}
       130:{2,3,5,6}:{(96,1),(97,1),(151,1),(166,1),(167,1),(168,1),(229,1),(237,1),(239,1),(286,1),(291,1),(311,1)}
       131:{1,3,4,6}:{(97,1),(100,1),(152,1),(168,1),(169,1),(171,1),(213,1),(241,1),(275,1),(307,1)}
       132:{1,3,5,6}:{(98,1),(99,1),(101,1),(157,1),(170,1),(171,1),(174,1)}
       133:{2,4,6}:{(99,1),(100,1),(158,1),(171,1),(172,1)}
       134:{3,4,5}:{(100,1),(172,1)}
       135:{2,3,6}:{(101,1),(103,1),(173,1),(311,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(104,1),(171,1),(173,1),(174,1),(241,1)}
       137:{2,3,5}:{(102,1),(172,1),(174,1)}
       138:{2,4,7}:{(103,1),(104,1),(173,1),(290,1)}
       139:{2,3,4,6}:{(105,1),(107,1),(175,1),(197,1),(261,1),(292,1),(295,1),(314,1)}
       140:{1,3,5,6}:{(105,1),(106,1),(108,1),(175,1),(176,1),(177,1),(262,1)}
       141:{2,4,5,6}:{(106,1),(109,1),(176,1),(177,1),(246,1)}
       142:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(127,1),(175,1),(178,1),(181,1),(247,1),(248,1),(251,1),(260,1),(296,1)}
       143:{2,5,7}:{(108,1),(110,1),(176,1)}
       144:{3,5,7}:{(109,1),(111,1),(177,1),(181,1)}
       145:{1,2,4,6,7}:{(110,1),(116,1),(179,1),(182,1),(186,1),(191,1),(243,1),(251,1),(254,1)}
       146:{2,3,6,7}:{(110,1),(111,1),(180,1),(182,1),(187,1),(244,1)}
       147:{3,4,6,7}:{(111,1),(112,1),(181,1),(184,1),(253,1),(263,1),(304,1)}
       148:{2,4,5,7}:{(112,1),(119,1),(184,1),(185,1),(192,1)}
       149:{2,4,7}:{(113,1),(114,1),(128,1),(187,1)}
       150:{1,2,5,7}:{(114,1),(116,1),(129,1),(186,1),(188,1),(302,1)}
       151:{2,3,5,7}:{(114,1),(115,1),(117,1),(130,1),(187,1),(188,1),(189,1),(192,1),(257,1),(302,1)}
       152:{1,3,4,7}:{(115,1),(122,1),(131,1),(181,1),(189,1),(195,1),(251,1),(263,1),(298,1)}
       153:{1,3,6,7}:{(116,1),(117,1),(188,1),(191,1),(303,1)}
       154:{2,4,6,7}:{(117,1),(118,1),(189,1),(191,1),(192,1),(261,1)}
       155:{1,3,5,7}:{(118,1),(119,1),(125,1),(184,1),(192,1),(193,1)}
       156:{1,4,5,6}:{(119,1),(126,1),(185,1),(193,1),(262,1),(265,1),(300,1)}
       157:{1,3,5,7}:{(120,1),(121,1),(123,1),(132,1),(194,1),(195,1)}
       158:{2,4,7}:{(121,1),(122,1),(133,1),(195,1)}
       159:{3,4,5,7}:{(122,1),(125,1),(134,1),(196,1),(197,1)}
       160:{2,3,6,7}:{(123,1),(135,1),(194,1),(198,1),(257,1),(304,1)}
       161:{1,3,4,6,7}:{(123,1),(124,1),(136,1),(191,1),(195,1),(198,1),(199,1),(258,1),(263,1),(265,1),(303,1),(304,1)}
       162:{2,3,5,7}:{(124,1),(125,1),(137,1),(192,1),(196,1),(199,1),(200,1)}
       163:{3,5,6}:{(125,1),(126,1),(197,1),(314,1)}
       164:{2,4,5}:{(127,1),(128,1),(202,1)}
       165:{1,2,4,6}:{(128,1),(129,1),(186,1),(201,1),(203,1),(205,1),(269,1)}
       166:{2,3,6}:{(128,1),(187,1),(202,1),(203,1)}
       167:{1,3,5,6}:{(129,1),(130,1),(188,1),(203,1),(205,1),(262,1),(270,1),(303,1)}
       168:{2,4,6}:{(130,1),(131,1),(189,1),(205,1),(206,1)}
       169:{1,3,4,5}:{(131,1),(134,1),(206,1),(208,1),(247,1),(270,1),(271,1),(296,1),(313,1)}
       170:{2,3,5,6}:{(132,1),(135,1),(194,1),(207,1),(209,1),(266,1),(271,1),(304,1)}
       171:{1,4,6}:{(132,1),(133,1),(195,1),(207,1),(208,1)}
       172:{2,4,5}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,4,6}:{(135,1),(136,1),(138,1),(209,1)}
       174:{1,3,5}:{(136,1),(137,1),(208,1),(209,1),(271,1)}
       175:{1,3,4,6}:{(139,1),(140,1),(142,1),(210,1),(213,1),(272,1),(275,1),(287,1)}
       176:{2,5,6}:{(140,1),(143,1),(210,1)}
       177:{3,5,6}:{(141,1),(144,1),(213,1)}
       178:{2,4,5,7}:{(142,1),(143,1),(149,1),(164,1),(210,1),(215,1),(217,1),(276,1)}
       179:{1,2,5,7}:{(143,1),(145,1),(211,1),(216,1),(228,1),(282,1)}
       180:{2,3,5,7}:{(143,1),(144,1),(146,1),(212,1),(216,1),(217,1)}
       181:{3,4,7}:{(144,1),(213,1),(217,1)}
       182:{1,3,6,7}:{(145,1),(146,1),(216,1),(219,1),(223,1),(272,1)}
       183:{2,3,4,6,7}:{(146,1),(147,1),(154,1),(217,1),(220,1),(221,1),(224,1),(273,1),(281,1),(286,1)}
       184:{3,5,7}:{(147,1),(148,1),(222,1)}
       185:{2,4,5,6}:{(148,1),(156,1),(222,1),(229,1),(281,1),(289,1)}
       186:{1,2,4,7}:{(149,1),(150,1),(165,1),(223,1),(225,1),(284,1)}
       187:{2,3,7}:{(149,1),(166,1),(223,1)}
       188:{1,3,5,7}:{(150,1),(151,1),(153,1),(167,1),(223,1),(225,1),(228,1)}
       189:{2,4,7}:{(151,1),(152,1),(168,1),(225,1)}
       190:{1,3,4,5,7}:{(152,1),(155,1),(159,1),(169,1),(218,1),(226,1),(227,1),(231,1),(280,1),(285,1),(288,1),(309,1)}
       191:{1,4,6,7}:{(153,1),(154,1),(225,1),(228,1),(287,1)}
       192:{2,5,7}:{(154,1),(155,1),(228,1),(229,1)}
       193:{1,3,5,6}:{(155,1),(156,1),(163,1),(222,1),(227,1),(229,1)}
       194:{2,3,5,7}:{(157,1),(160,1),(170,1),(230,1),(233,1),(288,1)}
       195:{1,4,7}:{(157,1),(158,1),(171,1),(230,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(231,1),(232,1)}
       197:{3,4,6}:{(159,1),(163,1),(232,1)}
       198:{2,4,6,7}:{(160,1),(161,1),(173,1),(230,1),(233,1),(284,1),(289,1),(311,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(174,1),(228,1),(231,1),(233,1),(234,1),(288,1)}
       200:{2,3,5,6}:{(162,1),(163,1),(229,1),(232,1),(234,1),(286,1)}
       201:{1,2,4,5}:{(164,1),(165,1),(235,1),(240,1),(290,1),(291,1)}
       202:{2,3,5}:{(164,1),(166,1),(235,1),(236,1)}
       203:{1,3,6}:{(165,1),(166,1),(223,1),(235,1),(237,1)}
       204:{2,3,4,6}:{(166,1),(168,1),(224,1),(236,1),(238,1),(239,1),(241,1),(286,1),(307,1)}
       205:{1,4,6}:{(167,1),(168,1),(225,1),(240,1)}
       206:{2,4,5}:{(168,1),(169,1),(239,1),(240,1),(291,1)}
       207:{2,4,6}:{(170,1),(171,1),(230,1),(241,1),(242,1)}
       208:{1,4,5}:{(171,1),(172,1),(174,1),(242,1)}
       209:{2,5}:{(173,1),(174,1)}
       210:{2,4,6}:{(175,1),(176,1),(178,1),(244,1)}
       211:{1,2,5,6}:{(176,1),(179,1),(243,1),(245,1),(262,1),(301,1),(312,1)}
       212:{2,3,5,6}:{(176,1),(177,1),(180,1),(244,1),(245,1),(246,1),(294,1)}
       213:{3,4,6}:{(177,1),(181,1),(246,1),(247,1)}
       214:{1,2,4,5,7}:{(178,1),(179,1),(186,1),(201,1),(243,1),(248,1),(251,1),(260,1),(296,1),(297,1),(299,1),(302,1),(312,1)}
       215:{2,3,5,7}:{(178,1),(187,1),(202,1),(244,1),(248,1),(249,1),(294,1)}
       216:{1,3,5,7}:{(179,1),(180,1),(182,1),(245,1),(250,1),(251,1)}
       217:{2,4,7}:{(180,1),(181,1),(246,1),(251,1)}
       218:{3,4,5,7}:{(181,1),(184,1),(247,1),(252,1),(253,1)}
       219:{2,3,6,7}:{(182,1),(250,1),(254,1),(257,1),(292,1),(314,1)}
       220:{1,3,4,6,7}:{(182,1),(183,1),(191,1),(251,1),(254,1),(255,1),(258,1),(293,1),(298,1),(300,1),(303,1),(314,1)}
       221:{2,3,5,7}:{(183,1),(184,1),(192,1),(252,1),(255,1),(256,1),(294,1)}
       222:{3,5,6}:{(184,1),(185,1),(253,1),(304,1)}
       223:{1,3,7}:{(186,1),(187,1),(203,1),(257,1)}
       224:{2,3,4,7}:{(187,1),(189,1),(204,1),(258,1),(259,1),(263,1),(298,1)}
       225:{1,4,7}:{(188,1),(189,1),(205,1)}
       226:{2,4,5,7}:{(189,1),(190,1),(192,1),(206,1),(259,1),(260,1),(261,1),(302,1)}
       227:{1,3,4,6}:{(190,1),(193,1),(197,1),(253,1),(261,1),(265,1),(300,1),(303,1),(304,1),(314,1)}
       228:{1,5,7}:{(191,1),(192,1),(262,1)}
       229:{2,5,6}:{(192,1),(193,1),(261,1),(262,1)}
       230:{2,4,7}:{(194,1),(195,1),(207,1),(263,1)}
       231:{1,4,5,7}:{(195,1),(196,1),(199,1),(208,1),(264,1),(265,1)}
       232:{2,4,6}:{(196,1),(197,1),(200,1),(265,1)}
       233:{2,5,7}:{(198,1),(199,1),(209,1),(266,1)}
       234:{1,3,5,6}:{(199,1),(200,1),(262,1),(265,1),(266,1),(303,1),(304,1)}
       235:{1,3,5}:{(201,1),(202,1),(203,1),(267,1),(268,1)}
       236:{2,3,4}:{(202,1),(268,1)}
       237:{2,3,6}:{(203,1),(257,1),(267,1),(269,1)}
       238:{1,3,4,6}:{(203,1),(204,1),(205,1),(258,1),(268,1),(269,1),(270,1),(303,1)}
       239:{2,3,5}:{(204,1),(206,1),(270,1),(271,1),(313,1)}
       240:{1,4,5}:{(205,1),(206,1),(270,1)}
       241:{3,4,6}:{(207,1),(263,1),(271,1),(304,1)}
       242:{2,4,5}:{(207,1),(208,1),(209,1),(271,1)}
       243:{1,2,4,6}:{(210,1),(211,1),(214,1),(272,1),(275,1),(287,1),(305,1),(310,1),(311,1)}
       244:{2,3,6}:{(210,1),(215,1),(272,1)}
       245:{1,3,5,6}:{(211,1),(212,1),(216,1),(272,1),(274,1),(275,1),(306,1)}
       246:{2,4,6}:{(212,1),(213,1),(217,1),(275,1),(276,1)}
       247:{3,4,5}:{(213,1),(276,1)}
       248:{1,3,5,7}:{(214,1),(215,1),(223,1),(235,1),(272,1),(277,1),(278,1),(306,1),(309,1)}
       249:{2,3,4,7}:{(215,1),(217,1),(236,1),(273,1),(278,1)}
       250:{2,3,5,7}:{(216,1),(219,1),(274,1),(279,1),(282,1),(309,1)}
       251:{1,4,7}:{(216,1),(217,1),(275,1),(279,1)}
       252:{2,4,5,7}:{(217,1),(218,1),(221,1),(276,1),(280,1),(281,1)}
       253:{3,4,6}:{(218,1),(222,1),(281,1)}
       254:{2,4,6,7}:{(219,1),(220,1),(279,1),(282,1),(284,1),(305,1),(310,1),(311,1)}
       255:{1,3,5,7}:{(220,1),(221,1),(228,1),(280,1),(282,1),(283,1),(306,1),(309,1)}
       256:{2,3,5,6}:{(221,1),(222,1),(229,1),(281,1),(283,1),(286,1)}
       257:{2,3,7}:{(223,1),(237,1),(284,1)}
       258:{1,3,4,7}:{(223,1),(224,1),(225,1),(238,1),(284,1),(285,1)}
       259:{2,3,5,7}:{(224,1),(226,1),(239,1),(285,1),(286,1),(288,1),(309,1)}
       260:{1,4,5,7}:{(225,1),(226,1),(228,1),(240,1),(285,1),(287,1)}
       261:{2,4,6}:{(226,1),(227,1),(229,1),(286,1),(287,1),(311,1)}
       262:{1,5,6}:{(228,1),(229,1),(287,1)}
       263:{3,4,7}:{(230,1),(241,1),(288,1)}
       264:{2,4,5,7}:{(230,1),(231,1),(233,1),(242,1),(288,1),(289,1)}
       265:{1,4,6}:{(231,1),(232,1),(234,1),(289,1)}
       266:{2,5,6}:{(233,1),(234,1),(289,1),(311,1)}
       267:{2,3,5}:{(235,1),(237,1),(290,1),(291,1)}
       268:{1,3,4}:{(235,1),(236,1),(290,1)}
       269:{2,4,6}:{(237,1),(238,1),(284,1),(290,1),(291,1),(311,1)}
       270:{1,3,5}:{(238,1),(239,1),(240,1),(291,1)}
       271:{3,5}:{(241,1),(242,1)}
       272:{1,3,6}:{(243,1),(244,1),(248,1),(292,1),(314,1)}
       273:{2,3,4,6}:{(244,1),(246,1),(249,1),(293,1),(294,1)}
       274:{2,3,5,6}:{(245,1),(250,1),(292,1),(295,1),(301,1),(312,1),(313,1),(314,1)}
       275:{1,4,6}:{(245,1),(246,1),(251,1),(295,1),(296,1)}
       276:{2,4,5}:{(246,1),(247,1),(294,1),(296,1)}
       277:{2,3,5,7}:{(248,1),(257,1),(267,1),(292,1),(297,1),(302,1),(312,1)}
       278:{1,3,4,7}:{(248,1),(249,1),(251,1),(268,1),(293,1),(297,1),(298,1)}
       279:{2,4,7}:{(250,1),(251,1),(295,1),(298,1)}
       280:{1,4,5,7}:{(251,1),(252,1),(255,1),(296,1),(299,1),(300,1)}
       281:{2,4,6}:{(252,1),(253,1),(256,1),(300,1)}
       282:{2,5,7}:{(254,1),(255,1),(301,1),(312,1)}
       283:{1,3,5,6}:{(255,1),(256,1),(262,1),(300,1),(301,1),(303,1),(314,1)}
       284:{2,4,7}:{(257,1),(258,1),(269,1),(302,1)}
       285:{1,3,5,7}:{(258,1),(259,1),(260,1),(270,1),(302,1),(303,1)}
       286:{2,3,6}:{(259,1),(261,1),(303,1),(304,1),(314,1)}
       287:{1,4,6}:{(260,1),(261,1),(262,1),(303,1)}
       288:{3,5,7}:{(263,1),(264,1),(271,1),(304,1)}
       289:{2,4,6}:{(264,1),(265,1),(266,1),(304,1)}
       290:{2,4}:{(267,1),(268,1)}
       291:{2,5}:{(269,1),(270,1)}
       292:{2,3,6}:{(272,1),(277,1),(305,1),(311,1)}
       293:{1,3,4,6}:{(272,1),(273,1),(275,1),(278,1),(305,1),(306,1),(307,1)}
       294:{2,3,5}:{(273,1),(276,1),(306,1)}
       295:{2,4,6}:{(274,1),(275,1),(279,1),(307,1),(308,1)}
       296:{1,4,5}:{(275,1),(276,1),(306,1),(308,1)}
       297:{2,4,7}:{(277,1),(278,1),(290,1),(305,1)}
       298:{3,4,7}:{(279,1),(307,1),(309,1)}
       299:{2,4,5,7}:{(279,1),(280,1),(282,1),(308,1),(309,1),(310,1)}
       300:{1,4,6}:{(280,1),(281,1),(283,1),(310,1)}
       301:{2,5,6}:{(282,1),(283,1),(310,1),(311,1)}
       302:{2,5,7}:{(284,1),(285,1),(291,1),(311,1)}
       303:{1,3,6}:{(285,1),(286,1),(287,1),(311,1)}
       304:{3,6}:{(288,1),(289,1)}
       305:{2,4,6}:{(292,1),(293,1),(297,1),(312,1)}
       306:{1,3,5}:{(293,1),(294,1),(296,1),(312,1),(313,1)}
       307:{3,4,6}:{(295,1),(298,1),(313,1),(314,1)}
       308:{2,4,5}:{(295,1),(296,1),(312,1),(313,1)}
       309:{3,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{2,4,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{2,6}:{(302,1),(303,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(307,1),(308,1)}
       314:{3,6}:{(309,1),(310,1)}

1768 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(22,1),(62,1),(111,1),(116,1),(117,1),(139,1),(140,1),(186,1),(189,1),(211,1)}
         1:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(28,1),(36,1),(43,1),(79,1),(90,1),(93,1),(95,1),(96,1),(148,1),(152,1),(157,1),(170,1),(176,1),(231,1),(236,1),(271,1),(274,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(31,1),(36,1),(43,1),(82,1),(95,1),(103,1),(152,1),(176,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(44,1),(105,1),(106,1),(146,1),(178,1),(218,1)}
         4:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(51,1),(56,1),(116,1),(117,1),(189,1)}
         5:{1,3,5,6,7}:{(14,1),(15,1),(16,1),(56,1),(108,1)}
         6:{1,3,5,7}:{(1,1),(17,1),(18,1),(19,1),(62,1),(130,1),(186,1),(189,1),(205,1),(211,1),(258,1),(291,1)}
         7:{1,2,4,6}:{(1,1),(19,1),(20,1),(24,1),(61,1),(66,1),(70,1),(127,1),(141,1),(184,1),(194,1),(255,1),(289,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(23,1),(69,1),(186,1),(189,1),(211,1),(248,1)}
         9:{1,4,5,7}:{(2,1),(22,1),(24,1),(53,1),(60,1),(116,1),(132,1),(139,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(24,1),(25,1),(70,1)}
        11:{1,3,5,6}:{(3,1),(14,1),(25,1),(26,1),(62,1),(74,1)}
        12:{1,2,4,6,7}:{(7,1),(27,1),(28,1),(30,1),(75,1),(79,1),(80,1),(152,1),(164,1),(224,1),(274,1)}
        13:{2,4,6,7}:{(4,1),(10,1),(29,1),(30,1),(31,1),(80,1),(82,1),(152,1)}
        14:{1,3,5,7}:{(4,1),(11,1),(31,1),(32,1),(84,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(33,1),(34,1),(145,1)}
        16:{1,4,6,7}:{(5,1),(32,1),(34,1),(146,1),(155,1)}
        17:{1,3,4,7}:{(6,1),(36,1),(37,1),(79,1),(151,1),(236,1),(241,1),(278,1)}
        18:{2,3,5,7}:{(6,1),(36,1),(38,1),(39,1),(43,1),(95,1),(100,1),(157,1),(160,1),(175,1),(230,1)}
        19:{1,3,6}:{(6,1),(7,1),(39,1),(178,1),(218,1),(276,1)}
        20:{1,2,5,6}:{(7,1),(28,1),(40,1),(46,1),(95,1),(104,1),(145,1),(167,1),(170,1),(227,1),(285,1)}
        21:{2,3,4,7}:{(8,1),(36,1),(41,1),(42,1),(82,1),(151,1),(160,1),(221,1),(222,1),(241,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(41,1),(43,1),(44,1),(102,1),(271,1)}
        23:{2,3,6}:{(8,1),(10,1),(44,1),(178,1),(218,1),(270,1)}
        24:{1,4,6}:{(9,1),(10,1),(44,1),(46,1)}
        25:{2,5,6}:{(10,1),(11,1),(31,1),(46,1),(95,1)}
        26:{1,4,5,6}:{(11,1),(32,1),(47,1),(96,1),(105,1),(146,1),(180,1)}
        27:{1,3,6,7}:{(12,1),(19,1),(49,1),(50,1),(189,1),(289,1),(291,1)}
        28:{1,2,5,7}:{(12,1),(20,1),(50,1),(53,1),(110,1),(115,1),(201,1),(252,1),(290,1)}
        29:{2,3,6,7}:{(13,1),(23,1),(51,1),(52,1),(56,1),(119,1),(189,1)}
        30:{1,4,6,7}:{(13,1),(24,1),(51,1),(53,1),(116,1)}
        31:{2,5,7}:{(13,1),(14,1),(25,1),(53,1)}
        32:{1,4,5,7}:{(14,1),(16,1),(26,1),(54,1),(116,1),(191,1)}
        33:{1,5,6,7}:{(15,1),(53,1),(55,1),(183,1)}
        34:{2,4,6,7}:{(15,1),(16,1),(54,1),(55,1),(56,1),(119,1),(184,1)}
        35:{1,3,4,5,7}:{(17,1),(58,1),(59,1),(62,1),(111,1),(120,1),(126,1),(186,1),(199,1),(200,1),(253,1),(254,1),(258,1),(291,1)}
        36:{2,4,7}:{(17,1),(18,1),(60,1),(61,1),(210,1),(257,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(61,1),(62,1),(66,1),(136,1)}
        38:{1,3,5,7}:{(18,1),(60,1),(63,1),(64,1),(130,1),(132,1),(205,1)}
        39:{2,3,6}:{(18,1),(19,1),(61,1),(64,1),(70,1),(194,1)}
        40:{1,3,5,6}:{(19,1),(20,1),(50,1),(62,1),(65,1),(66,1),(205,1),(264,1),(265,1),(289,1)}
        41:{1,3,4,7}:{(21,1),(22,1),(60,1),(67,1),(68,1),(116,1),(130,1),(189,1),(250,1),(251,1)}
        42:{2,3,4,6}:{(21,1),(23,1),(61,1),(68,1),(69,1),(72,1),(136,1),(197,1),(209,1),(213,1),(257,1),(266,1)}
        43:{2,5,7}:{(22,1),(67,1),(70,1),(138,1)}
        44:{1,3,6}:{(22,1),(23,1),(24,1),(70,1),(289,1)}
        45:{2,3,5,6}:{(23,1),(25,1),(52,1),(69,1),(71,1),(72,1),(74,1),(143,1),(213,1)}
        46:{1,5,6}:{(24,1),(25,1),(53,1),(132,1)}
        47:{2,4,5,6}:{(25,1),(26,1),(54,1),(72,1),(73,1),(74,1),(133,1),(141,1),(143,1),(184,1)}
        48:{1,3,4,6,7}:{(27,1),(37,1),(75,1),(76,1),(79,1),(146,1),(151,1),(218,1)}
        49:{2,3,6,7}:{(27,1),(39,1),(75,1),(77,1),(78,1),(80,1),(218,1),(224,1),(270,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(40,1),(78,1),(79,1),(271,1),(272,1)}
        51:{1,3,6,7}:{(29,1),(30,1),(44,1),(80,1),(81,1),(155,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(45,1),(81,1),(82,1),(84,1),(154,1),(222,1)}
        53:{1,5,7}:{(30,1),(31,1),(46,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(34,1),(47,1),(82,1),(83,1),(84,1),(152,1),(154,1)}
        55:{1,4,6,7}:{(33,1),(34,1),(83,1),(85,1),(217,1)}
        56:{3,6,7}:{(34,1),(84,1),(218,1)}
        57:{2,3,4,7}:{(36,1),(86,1),(87,1),(88,1),(100,1),(151,1),(221,1),(226,1),(278,1),(302,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(86,1),(90,1),(91,1),(95,1),(157,1),(163,1),(165,1),(226,1),(231,1),(274,1)}
        59:{1,3,4,6}:{(35,1),(91,1),(92,1),(146,1),(158,1),(218,1),(228,1),(229,1),(276,1)}
        60:{1,4,7}:{(36,1),(38,1),(94,1),(236,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(94,1),(95,1)}
        62:{1,3,5}:{(37,1),(95,1),(96,1),(172,1)}
        63:{1,2,5,7}:{(38,1),(43,1),(93,1),(97,1),(157,1),(170,1),(271,1)}
        64:{1,3,6}:{(38,1),(39,1),(94,1),(97,1)}
        65:{2,3,5,6}:{(39,1),(40,1),(78,1),(95,1),(98,1),(99,1),(104,1),(145,1),(172,1),(175,1),(178,1),(218,1),(227,1),(230,1),(238,1),(239,1),(270,1),(276,1)}
        66:{1,4,6}:{(40,1),(79,1),(96,1),(99,1),(236,1)}
        67:{2,4,7}:{(41,1),(43,1),(100,1),(101,1),(273,1)}
        68:{1,3,4,6}:{(41,1),(42,1),(44,1),(94,1),(101,1),(102,1),(105,1),(169,1),(178,1),(236,1),(240,1),(241,1),(244,1),(286,1)}
        69:{2,3,5}:{(42,1),(95,1),(102,1),(103,1),(172,1),(238,1)}
        70:{2,6}:{(43,1),(44,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(46,1),(81,1),(102,1),(104,1),(105,1),(178,1),(180,1),(244,1)}
        72:{2,4,6}:{(45,1),(82,1),(103,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(47,1),(83,1),(105,1),(107,1),(171,1),(217,1)}
        74:{3,5,6}:{(47,1),(84,1),(106,1),(172,1),(178,1),(218,1)}
        75:{2,4,6,7}:{(48,1),(49,1),(61,1),(109,1),(110,1),(114,1),(184,1)}
        76:{1,3,5,7}:{(48,1),(62,1),(108,1),(110,1),(111,1),(186,1)}
        77:{1,3,6,7}:{(49,1),(64,1),(109,1),(112,1),(113,1),(247,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(65,1),(110,1),(113,1),(114,1),(115,1),(186,1),(189,1),(248,1),(249,1),(252,1),(291,1)}
        79:{1,4,7}:{(50,1),(66,1),(114,1)}
        80:{2,6,7}:{(51,1),(70,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(71,1),(115,1),(116,1),(189,1),(191,1),(251,1)}
        82:{2,4,7}:{(52,1),(72,1),(116,1),(117,1)}
        83:{1,4,5,7}:{(53,1),(54,1),(55,1),(73,1),(116,1),(118,1)}
        84:{3,5,7}:{(54,1),(56,1),(74,1),(117,1),(189,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(118,1),(119,1),(247,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(120,1),(121,1),(124,1),(186,1),(248,1),(258,1),(291,1)}
        87:{1,3,4,7}:{(57,1),(60,1),(120,1),(122,1),(123,1),(130,1),(250,1),(253,1),(291,1),(309,1)}
        88:{2,3,4,6}:{(57,1),(61,1),(121,1),(123,1),(124,1),(136,1),(137,1),(196,1),(209,1),(210,1),(293,1),(295,1)}
        89:{1,3,4,6,7}:{(59,1),(125,1),(126,1),(182,1),(192,1),(246,1),(253,1),(254,1),(291,1)}
        90:{1,4,5,7}:{(58,1),(60,1),(120,1),(127,1),(132,1),(199,1),(201,1),(253,1)}
        91:{2,4,6}:{(58,1),(59,1),(121,1),(127,1),(128,1),(194,1)}
        92:{1,3,5,6}:{(59,1),(62,1),(126,1),(128,1),(129,1),(204,1)}
        93:{1,2,4,7}:{(60,1),(63,1),(67,1),(122,1),(130,1),(131,1),(250,1),(290,1)}
        94:{1,4,6}:{(60,1),(61,1),(64,1),(132,1)}
        95:{2,5}:{(61,1),(62,1),(132,1)}
        96:{1,4,5}:{(62,1),(66,1),(133,1),(264,1)}
        97:{1,2,6}:{(63,1),(64,1),(70,1),(194,1),(289,1)}
        98:{1,3,5,6}:{(64,1),(65,1),(113,1),(132,1),(134,1),(135,1),(183,1),(205,1),(207,1),(208,1),(247,1)}
        99:{2,4,6}:{(65,1),(66,1),(114,1),(133,1),(135,1),(136,1),(210,1),(257,1)}
       100:{2,3,7}:{(67,1),(130,1),(137,1),(189,1)}
       101:{2,4,6}:{(67,1),(68,1),(70,1),(137,1),(138,1),(210,1),(268,1),(300,1)}
       102:{1,3,5}:{(68,1),(69,1),(132,1),(138,1),(139,1),(211,1),(264,1)}
       103:{2,4,5}:{(69,1),(72,1),(139,1),(140,1),(257,1)}
       104:{2,5,6}:{(70,1),(71,1),(115,1),(138,1),(141,1),(268,1)}
       105:{1,4,6}:{(71,1),(72,1),(116,1),(139,1),(141,1)}
       106:{3,4,6}:{(72,1),(74,1),(117,1),(140,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(118,1),(142,1),(143,1),(207,1),(247,1)}
       108:{1,3,5,6}:{(76,1),(145,1),(146,1),(218,1)}
       109:{1,4,6,7}:{(75,1),(77,1),(94,1),(147,1),(150,1),(217,1)}
       110:{2,5,7}:{(75,1),(76,1),(95,1),(145,1),(147,1)}
       111:{1,4,5,7}:{(76,1),(79,1),(96,1),(146,1),(148,1),(271,1)}
       112:{1,2,6,7}:{(77,1),(80,1),(97,1),(149,1),(155,1),(224,1),(270,1),(301,1)}
       113:{1,3,5,7}:{(77,1),(78,1),(98,1),(147,1),(149,1),(150,1),(220,1)}
       114:{2,4,7}:{(78,1),(79,1),(99,1),(150,1),(151,1)}
       115:{2,5,7}:{(80,1),(81,1),(104,1),(152,1),(273,1)}
       116:{1,4,7}:{(81,1),(82,1),(105,1),(152,1)}
       117:{3,4,7}:{(82,1),(84,1),(106,1)}
       118:{1,3,5,7}:{(83,1),(84,1),(85,1),(107,1),(153,1),(154,1)}
       119:{2,6,7}:{(85,1),(154,1),(155,1),(270,1)}
       120:{1,3,5,7}:{(86,1),(87,1),(90,1),(157,1),(158,1),(162,1),(271,1)}
       121:{2,3,6}:{(86,1),(91,1),(158,1),(218,1),(270,1),(276,1)}
       122:{2,4,7}:{(87,1),(157,1),(160,1),(161,1),(313,1)}
       123:{1,3,4,6}:{(87,1),(88,1),(94,1),(158,1),(161,1),(162,1),(169,1),(228,1),(236,1),(240,1),(276,1),(278,1),(304,1),(305,1)}
       124:{2,3,5}:{(88,1),(95,1),(162,1),(163,1),(172,1),(238,1)}
       125:{2,4,6,7}:{(89,1),(91,1),(156,1),(164,1),(165,1),(224,1),(226,1),(274,1)}
       126:{1,3,5,7}:{(89,1),(92,1),(165,1),(166,1),(234,1)}
       127:{1,4,6}:{(90,1),(91,1),(158,1),(167,1)}
       128:{2,5,6}:{(91,1),(92,1),(95,1),(165,1),(167,1)}
       129:{1,4,5,6}:{(92,1),(96,1),(146,1),(166,1),(168,1),(228,1),(282,1)}
       130:{1,3,7}:{(93,1),(100,1),(160,1),(169,1)}
       131:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(161,1),(169,1),(170,1),(236,1),(240,1),(285,1),(307,1)}
       132:{1,5}:{(94,1),(95,1)}
       133:{2,4,5}:{(95,1),(96,1),(99,1),(171,1),(172,1),(238,1)}
       134:{1,2,5,6}:{(97,1),(98,1),(104,1),(149,1),(170,1),(173,1),(180,1),(227,1),(238,1),(270,1),(282,1)}
       135:{1,4,6}:{(98,1),(99,1),(150,1),(171,1),(236,1)}
       136:{3,4,6}:{(99,1),(151,1),(172,1),(178,1),(218,1),(241,1),(276,1),(278,1)}
       137:{2,3,6}:{(100,1),(101,1),(169,1),(175,1),(178,1),(308,1)}
       138:{2,5}:{(101,1),(102,1)}
       139:{1,4,5}:{(102,1),(103,1),(105,1),(176,1),(236,1)}
       140:{3,4,5}:{(103,1),(106,1),(172,1),(278,1)}
       141:{2,4,6}:{(104,1),(105,1),(152,1),(176,1),(178,1)}
       142:{1,3,4,6}:{(105,1),(106,1),(107,1),(153,1),(177,1),(178,1),(179,1),(244,1)}
       143:{2,5,6}:{(107,1),(154,1),(179,1),(180,1),(238,1),(270,1)}
       144:{1,3,5,6,7}:{(108,1),(126,1),(181,1),(182,1),(246,1)}
       145:{2,5,6}:{(108,1),(110,1),(183,1),(184,1)}
       146:{1,4,6}:{(108,1),(111,1),(184,1),(289,1)}
       147:{1,5,7}:{(109,1),(110,1),(132,1),(183,1)}
       148:{2,4,5,7}:{(110,1),(111,1),(114,1),(133,1),(184,1),(185,1),(186,1),(248,1)}
       149:{1,2,5,7}:{(112,1),(113,1),(115,1),(134,1),(187,1),(191,1),(248,1),(252,1),(297,1)}
       150:{1,4,7}:{(113,1),(114,1),(135,1)}
       151:{3,4,7}:{(114,1),(136,1),(186,1),(189,1),(291,1)}
       152:{2,4,7}:{(115,1),(116,1),(141,1),(189,1)}
       153:{1,3,4,7}:{(116,1),(117,1),(118,1),(142,1),(189,1),(190,1),(251,1)}
       154:{2,5,7}:{(118,1),(119,1),(143,1),(190,1),(191,1)}
       155:{1,6,7}:{(119,1),(191,1),(289,1)}
       156:{2,3,6,7}:{(121,1),(125,1),(192,1),(193,1),(246,1),(288,1),(291,1)}
       157:{2,5,7}:{(120,1),(122,1),(194,1),(198,1)}
       158:{1,3,6}:{(120,1),(121,1),(127,1),(194,1),(289,1)}
       159:{2,3,5,6}:{(121,1),(124,1),(128,1),(193,1),(195,1),(196,1),(204,1),(261,1),(293,1)}
       160:{2,3,7}:{(122,1),(130,1),(197,1),(291,1)}
       161:{2,4,6}:{(122,1),(123,1),(194,1),(197,1),(198,1),(257,1),(310,1),(311,1)}
       162:{1,3,5}:{(123,1),(124,1),(132,1),(198,1),(199,1),(258,1),(264,1)}
       163:{2,4,5}:{(124,1),(196,1),(199,1),(200,1),(210,1)}
       164:{1,4,6,7}:{(125,1),(127,1),(192,1),(201,1),(253,1)}
       165:{2,5,7}:{(125,1),(126,1),(128,1),(201,1)}
       166:{1,4,5,7}:{(126,1),(129,1),(182,1),(202,1),(253,1),(297,1)}
       167:{1,5,6}:{(127,1),(128,1),(132,1),(201,1)}
       168:{2,4,5,6}:{(128,1),(129,1),(133,1),(184,1),(196,1),(202,1),(203,1),(204,1),(255,1),(261,1)}
       169:{1,3,6}:{(130,1),(131,1),(137,1),(197,1),(205,1),(312,1)}
       170:{1,2,5}:{(131,1),(132,1),(138,1),(198,1),(205,1),(264,1)}
       171:{1,4,5}:{(132,1),(133,1),(135,1),(207,1)}
       172:{3,5}:{(133,1),(136,1)}
       173:{1,2,4,6}:{(134,1),(135,1),(141,1),(187,1),(206,1),(208,1),(209,1),(214,1),(255,1),(268,1),(294,1),(310,1)}
       174:{1,3,4,6}:{(135,1),(136,1),(188,1),(207,1),(208,1),(209,1),(247,1),(262,1)}
       175:{2,3,5}:{(137,1),(138,1),(205,1),(210,1),(211,1)}
       176:{2,4,5}:{(138,1),(139,1),(141,1),(210,1),(211,1)}
       177:{1,3,4,5}:{(139,1),(140,1),(142,1),(207,1),(211,1),(212,1),(262,1),(267,1)}
       178:{3,6}:{(141,1),(189,1),(211,1)}
       179:{2,4,6}:{(142,1),(143,1),(190,1),(212,1),(213,1),(214,1),(268,1)}
       180:{1,5,6}:{(143,1),(191,1),(214,1),(264,1),(289,1)}
       181:{2,5,6,7}:{(144,1),(145,1),(165,1),(215,1),(216,1)}
       182:{1,4,6,7}:{(144,1),(146,1),(166,1),(216,1),(301,1)}
       183:{1,5,6}:{(145,1),(147,1),(217,1)}
       184:{2,4,6}:{(145,1),(146,1),(148,1),(217,1),(218,1),(270,1)}
       185:{1,4,5,7}:{(147,1),(148,1),(150,1),(171,1),(217,1),(219,1)}
       186:{3,5,7}:{(148,1),(151,1),(172,1),(218,1)}
       187:{1,2,4,7}:{(149,1),(150,1),(152,1),(173,1),(220,1),(221,1),(223,1),(273,1),(274,1),(303,1),(313,1)}
       188:{1,3,4,7}:{(150,1),(151,1),(174,1),(219,1),(220,1),(221,1)}
       189:{3,7}:{(152,1),(178,1)}
       190:{2,4,7}:{(153,1),(154,1),(179,1),(222,1),(223,1),(273,1)}
       191:{1,5,7}:{(154,1),(155,1),(180,1),(223,1)}
       192:{1,3,6,7}:{(156,1),(158,1),(164,1),(224,1),(225,1),(301,1)}
       193:{2,3,5,7}:{(156,1),(159,1),(165,1),(225,1),(226,1),(234,1),(281,1),(302,1)}
       194:{2,6}:{(157,1),(158,1)}
       195:{1,3,5,6}:{(158,1),(159,1),(162,1),(167,1),(225,1),(227,1),(228,1),(276,1),(282,1),(304,1)}
       196:{2,4,6}:{(159,1),(163,1),(226,1),(228,1),(229,1)}
       197:{2,3,6}:{(160,1),(161,1),(169,1),(230,1),(276,1),(314,1)}
       198:{2,5}:{(161,1),(162,1)}
       199:{1,4,5}:{(162,1),(163,1),(228,1),(231,1),(236,1)}
       200:{3,4,5}:{(163,1),(172,1),(229,1),(241,1)}
       201:{1,5,7}:{(164,1),(165,1),(167,1)}
       202:{2,4,5,7}:{(165,1),(166,1),(168,1),(216,1),(226,1),(233,1),(234,1),(274,1),(281,1)}
       203:{1,4,5,6}:{(167,1),(168,1),(171,1),(217,1),(228,1),(233,1),(235,1)}
       204:{3,5,6}:{(168,1),(172,1),(218,1),(229,1),(234,1),(276,1)}
       205:{1,3,5}:{(169,1),(170,1),(175,1),(230,1),(236,1)}
       206:{1,2,4,5}:{(170,1),(171,1),(173,1),(176,1),(231,1),(236,1),(237,1),(238,1),(243,1),(280,1),(283,1),(287,1),(306,1),(307,1)}
       207:{1,3,5}:{(171,1),(172,1),(174,1),(238,1)}
       208:{1,3,6}:{(173,1),(178,1),(220,1),(237,1),(239,1),(276,1)}
       209:{2,4,6}:{(174,1),(221,1),(238,1),(239,1),(240,1),(270,1),(283,1)}
       210:{2,4}:{(175,1),(236,1),(241,1)}
       211:{3,5}:{(176,1),(178,1),(241,1)}
       212:{2,4,5}:{(177,1),(179,1),(238,1),(242,1),(243,1),(283,1),(287,1)}
       213:{2,3,6}:{(178,1),(179,1),(222,1),(242,1),(244,1)}
       214:{1,4,6}:{(179,1),(180,1),(223,1),(243,1),(244,1)}
       215:{1,5,6,7}:{(181,1),(183,1),(201,1),(245,1)}
       216:{2,4,6,7}:{(181,1),(182,1),(184,1),(202,1),(245,1),(246,1),(288,1)}
       217:{1,4,6}:{(183,1),(184,1),(185,1),(247,1)}
       218:{3,6}:{(184,1),(186,1)}
       219:{1,3,5,7}:{(185,1),(186,1),(188,1),(207,1),(247,1),(248,1)}
       220:{1,3,7}:{(187,1),(189,1),(208,1),(249,1),(291,1)}
       221:{2,4,7}:{(188,1),(209,1),(248,1),(249,1),(250,1)}
       222:{2,3,7}:{(189,1),(190,1),(213,1),(251,1)}
       223:{1,4,7}:{(190,1),(191,1),(214,1),(251,1)}
       224:{2,6,7}:{(192,1),(194,1),(252,1)}
       225:{1,3,5,7}:{(192,1),(193,1),(195,1),(201,1),(252,1),(253,1),(291,1),(297,1),(309,1)}
       226:{2,4,7}:{(193,1),(196,1),(253,1),(254,1)}
       227:{2,5,6}:{(194,1),(195,1),(198,1),(252,1),(255,1),(310,1)}
       228:{1,4,6}:{(195,1),(196,1),(199,1),(253,1),(255,1)}
       229:{3,4,6}:{(196,1),(200,1),(204,1),(254,1)}
       230:{2,3,5}:{(197,1),(198,1),(205,1),(257,1),(258,1)}
       231:{2,4,5}:{(198,1),(199,1),(255,1),(257,1),(258,1)}
       232:{1,3,4,5}:{(199,1),(200,1),(207,1),(256,1),(258,1),(259,1),(262,1),(296,1)}
       233:{1,4,5,7}:{(201,1),(202,1),(203,1),(245,1),(253,1),(260,1)}
       234:{3,5,7}:{(202,1),(204,1),(246,1),(254,1),(291,1)}
       235:{1,3,5,6}:{(203,1),(204,1),(207,1),(247,1),(256,1),(260,1),(261,1)}
       236:{1,4}:{(205,1),(210,1),(257,1)}
       237:{1,3,5}:{(206,1),(208,1),(211,1),(258,1),(262,1),(263,1),(312,1)}
       238:{2,5}:{(207,1),(209,1),(264,1)}
       239:{2,3,6}:{(208,1),(209,1),(249,1),(263,1),(265,1),(268,1),(310,1)}
       240:{1,4,6}:{(209,1),(250,1),(264,1),(265,1),(289,1),(298,1)}
       241:{3,4}:{(210,1),(211,1)}
       242:{2,3,5}:{(211,1),(212,1),(213,1),(266,1),(267,1)}
       243:{1,4,5}:{(212,1),(214,1),(264,1),(267,1),(298,1)}
       244:{1,3,6}:{(213,1),(214,1),(251,1),(267,1),(268,1)}
       245:{1,4,6,7}:{(215,1),(216,1),(217,1),(233,1),(269,1)}
       246:{3,6,7}:{(216,1),(218,1),(234,1)}
       247:{1,3,6}:{(217,1),(218,1),(219,1),(270,1)}
       248:{2,5,7}:{(219,1),(221,1),(238,1),(270,1),(271,1)}
       249:{2,3,7}:{(220,1),(221,1),(239,1),(272,1),(273,1),(313,1)}
       250:{1,4,7}:{(221,1),(240,1),(271,1),(272,1)}
       251:{1,3,7}:{(222,1),(223,1),(244,1),(273,1)}
       252:{2,5,7}:{(224,1),(225,1),(227,1),(274,1),(313,1)}
       253:{1,4,7}:{(225,1),(226,1),(228,1),(274,1)}
       254:{3,4,7}:{(226,1),(229,1),(234,1)}
       255:{2,4,6}:{(227,1),(228,1),(231,1),(274,1),(276,1)}
       256:{1,3,4,6}:{(228,1),(229,1),(232,1),(235,1),(275,1),(276,1),(277,1),(304,1)}
       257:{2,4}:{(230,1),(236,1),(278,1)}
       258:{3,5}:{(231,1),(276,1),(278,1)}
       259:{2,4,5}:{(232,1),(238,1),(277,1),(279,1),(280,1),(283,1),(306,1)}
       260:{1,3,5,7}:{(233,1),(234,1),(235,1),(269,1),(275,1),(281,1)}
       261:{2,5,6}:{(235,1),(238,1),(270,1),(277,1),(281,1),(282,1)}
       262:{1,3,4}:{(236,1),(237,1),(241,1),(278,1),(283,1)}
       263:{2,3,5}:{(237,1),(238,1),(239,1),(283,1),(284,1),(287,1),(306,1),(308,1),(314,1)}
       264:{1,5}:{(238,1),(240,1)}
       265:{1,3,6}:{(239,1),(240,1),(272,1),(284,1),(285,1)}
       266:{2,3,4}:{(241,1),(242,1),(283,1),(286,1),(314,1)}
       267:{1,3,5}:{(242,1),(243,1),(244,1),(286,1),(287,1)}
       268:{2,6}:{(244,1),(273,1),(287,1)}
       269:{1,3,6,7}:{(245,1),(246,1),(247,1),(260,1),(288,1)}
       270:{2,6}:{(247,1),(248,1),(289,1)}
       271:{1,5,7}:{(248,1),(250,1),(264,1),(289,1)}
       272:{1,3,7}:{(249,1),(250,1),(265,1),(290,1)}
       273:{2,7}:{(251,1),(268,1)}
       274:{2,4,7}:{(252,1),(253,1),(255,1),(291,1)}
       275:{1,3,4,7}:{(253,1),(254,1),(256,1),(260,1),(291,1),(292,1),(309,1)}
       276:{3,6}:{(255,1),(258,1),(291,1)}
       277:{2,4,6}:{(256,1),(259,1),(261,1),(292,1),(293,1),(294,1),(310,1)}
       278:{3,4}:{(257,1),(258,1)}
       279:{2,3,5}:{(258,1),(259,1),(293,1),(295,1),(296,1)}
       280:{1,4,5}:{(259,1),(264,1),(294,1),(296,1),(298,1)}
       281:{2,5,7}:{(260,1),(261,1),(288,1),(292,1),(297,1)}
       282:{1,5,6}:{(261,1),(264,1),(289,1),(294,1),(297,1)}
       283:{2,4}:{(262,1),(263,1),(298,1)}
       284:{1,3,5}:{(263,1),(264,1),(265,1),(298,1),(299,1),(312,1)}
       285:{1,2,6}:{(265,1),(268,1),(290,1),(299,1),(310,1)}
       286:{1,3,4}:{(266,1),(267,1),(298,1),(300,1),(312,1)}
       287:{2,5}:{(267,1),(268,1),(300,1)}
       288:{2,6,7}:{(269,1),(270,1),(281,1),(301,1)}
       289:{1,6}:{(270,1),(271,1)}
       290:{1,2,7}:{(272,1),(273,1),(285,1),(313,1)}
       291:{3,7}:{(274,1),(276,1)}
       292:{2,4,7}:{(275,1),(277,1),(281,1),(302,1),(303,1),(313,1)}
       293:{2,3,6}:{(276,1),(277,1),(279,1),(302,1),(304,1)}
       294:{1,4,6}:{(277,1),(280,1),(282,1),(303,1),(304,1)}
       295:{2,3,4}:{(278,1),(279,1),(283,1),(305,1),(308,1)}
       296:{1,3,5}:{(279,1),(280,1),(304,1),(305,1),(306,1)}
       297:{1,5,7}:{(281,1),(282,1),(301,1),(303,1)}
       298:{1,4}:{(283,1),(284,1)}
       299:{1,2,5}:{(284,1),(285,1),(287,1),(306,1),(307,1)}
       300:{2,4}:{(286,1),(287,1),(308,1)}
       301:{1,6,7}:{(288,1),(289,1),(297,1)}
       302:{2,3,7}:{(291,1),(292,1),(293,1),(309,1)}
       303:{1,4,7}:{(292,1),(294,1),(297,1),(309,1)}
       304:{1,3,6}:{(293,1),(294,1),(296,1),(309,1),(310,1)}
       305:{1,3,4}:{(295,1),(296,1),(298,1),(311,1),(312,1)}
       306:{2,5}:{(296,1),(310,1),(311,1)}
       307:{1,2,4}:{(298,1),(299,1),(300,1),(311,1),(312,1)}
       308:{2,3}:{(300,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1769 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(46,1),(135,1),(142,1),(157,1),(162,1),(197,1),(200,1),(206,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(21,1),(28,1),(107,1),(111,1),(128,1),(131,1),(174,1),(194,1),(228,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(69,1),(127,1),(224,1),(227,1),(233,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(77,1),(90,1),(135,1),(142,1),(145,1),(148,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(45,1),(90,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(14,1),(45,1),(144,1),(156,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(37,1),(82,1),(100,1),(205,1),(222,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(48,1),(98,1),(101,1),(253,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(18,1),(19,1),(207,1),(210,1)}
         9:{1,3,4,6,7}:{(3,1),(7,1),(20,1),(21,1),(24,1),(54,1),(63,1),(107,1),(111,1),(121,1),(174,1),(181,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(21,1),(22,1),(177,1),(180,1)}
        11:{1,3,5,6,7}:{(4,1),(21,1),(23,1),(24,1),(63,1),(67,1),(121,1)}
        12:{2,4,6,7}:{(4,1),(22,1),(24,1),(25,1)}
        13:{1,4,5,6,7}:{(5,1),(24,1),(26,1),(27,1),(67,1),(115,1),(124,1)}
        14:{3,5,6,7}:{(5,1),(25,1),(177,1),(188,1)}
        15:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(55,1),(68,1),(107,1),(126,1),(128,1),(166,1),(228,1),(229,1),(247,1),(273,1)}
        16:{2,3,5,7}:{(6,1),(28,1),(30,1),(31,1),(73,1),(232,1),(249,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(21,1),(32,1),(33,1),(75,1),(238,1)}
        19:{2,4,5,6}:{(8,1),(22,1),(33,1),(34,1),(127,1)}
        20:{2,4,6,7}:{(9,1),(17,1),(36,1),(37,1),(82,1),(153,1),(205,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(18,1),(37,1),(38,1),(83,1),(211,1)}
        22:{2,4,5,7}:{(10,1),(12,1),(19,1),(38,1),(39,1),(135,1)}
        23:{2,5,6,7}:{(11,1),(37,1),(42,1),(153,1)}
        24:{1,4,6,7}:{(11,1),(12,1),(38,1),(42,1)}
        25:{3,4,6,7}:{(12,1),(14,1),(39,1)}
        26:{2,4,5,6,7}:{(13,1),(42,1),(44,1),(45,1),(88,1),(93,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(45,1),(147,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(46,1),(47,1),(48,1),(97,1),(197,1),(255,1),(270,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(48,1),(49,1),(95,1),(98,1),(196,1),(253,1),(289,1)}
        30:{2,3,4,7}:{(16,1),(47,1),(50,1),(82,1),(271,1)}
        31:{2,3,6}:{(16,1),(17,1),(48,1)}
        32:{2,5,6}:{(17,1),(18,1),(37,1)}
        33:{1,4,5,6}:{(18,1),(19,1),(38,1),(52,1),(98,1)}
        34:{3,4,5,6}:{(19,1),(39,1),(158,1),(207,1)}
        35:{1,2,4,6,7}:{(20,1),(29,1),(54,1),(55,1),(104,1),(107,1),(181,1),(182,1),(229,1)}
        36:{2,3,6,7}:{(20,1),(31,1),(54,1),(57,1),(63,1),(232,1)}
        37:{2,5,7}:{(20,1),(21,1),(32,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(24,1),(33,1),(58,1),(107,1)}
        39:{3,4,5,7}:{(22,1),(25,1),(34,1),(167,1),(177,1)}
        40:{1,2,5,6,7}:{(23,1),(55,1),(60,1),(61,1),(67,1),(125,1),(165,1),(180,1),(182,1),(238,1),(239,1),(281,1)}
        41:{2,3,5,6,7}:{(23,1),(57,1),(60,1),(62,1),(63,1),(109,1),(117,1),(119,1),(180,1),(281,1),(282,1),(305,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(58,1),(63,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1),(64,1),(65,1),(121,1),(124,1),(188,1)}
        44:{3,5,6,7}:{(26,1),(63,1),(65,1),(119,1)}
        45:{2,5,6,7}:{(27,1),(64,1),(67,1),(180,1)}
        46:{2,3,5,7}:{(28,1),(68,1),(69,1),(126,1),(273,1),(274,1),(287,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(68,1),(70,1),(107,1),(167,1),(288,1)}
        48:{1,3,6}:{(28,1),(29,1),(31,1),(69,1),(224,1)}
        49:{1,2,5,6}:{(29,1),(32,1),(55,1),(71,1),(126,1),(165,1),(238,1)}
        50:{2,3,4,6}:{(30,1),(31,1),(70,1),(73,1),(74,1)}
        51:{2,3,5,6}:{(31,1),(32,1),(57,1),(71,1),(73,1),(74,1),(75,1)}
        52:{2,4,5,6}:{(32,1),(33,1),(58,1),(74,1),(75,1)}
        53:{1,3,4,5,6}:{(33,1),(34,1),(59,1),(75,1),(76,1),(122,1),(129,1),(133,1),(179,1),(186,1),(243,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(48,1),(77,1),(79,1),(255,1)}
        55:{1,2,5,7}:{(35,1),(37,1),(49,1),(79,1),(134,1),(211,1)}
        56:{2,3,4,6,7}:{(36,1),(50,1),(78,1),(81,1),(82,1),(89,1),(140,1),(148,1),(198,1),(250,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(51,1),(79,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(42,1),(52,1),(82,1),(83,1)}
        59:{1,3,4,5,7}:{(38,1),(39,1),(43,1),(53,1),(83,1),(84,1),(92,1),(138,1),(143,1),(147,1),(155,1),(217,1)}
        60:{1,3,5,6,7}:{(40,1),(41,1),(79,1),(85,1),(86,1),(87,1),(136,1),(147,1),(149,1),(211,1),(260,1),(264,1)}
        61:{1,2,4,6,7}:{(40,1),(42,1),(80,1),(86,1),(87,1),(91,1),(148,1),(153,1),(156,1),(196,1),(253,1),(289,1),(294,1)}
        62:{2,4,6,7}:{(41,1),(82,1),(86,1),(88,1),(89,1),(140,1),(294,1),(297,1)}
        63:{3,6,7}:{(42,1),(83,1)}
        64:{2,4,6,7}:{(43,1),(45,1),(84,1),(90,1),(91,1),(153,1)}
        65:{3,4,6,7}:{(44,1),(92,1),(93,1)}
        66:{2,3,5,6,7}:{(44,1),(45,1),(90,1),(93,1),(94,1),(151,1)}
        67:{1,5,6,7}:{(45,1),(91,1),(211,1)}
        68:{2,4,7}:{(46,1),(47,1),(95,1),(300,1)}
        69:{2,3,6}:{(46,1),(48,1),(95,1),(289,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(50,1),(95,1),(97,1),(98,1),(158,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(51,1),(79,1),(96,1),(97,1),(98,1)}
        72:{1,2,4,5,6}:{(49,1),(52,1),(80,1),(98,1),(99,1),(103,1),(146,1),(157,1),(160,1),(164,1),(196,1),(210,1),(216,1),(220,1),(221,1),(253,1),(263,1),(268,1),(289,1),(294,1),(298,1),(312,1)}
        73:{2,3,5}:{(50,1),(97,1),(100,1)}
        74:{2,4,6}:{(51,1),(82,1),(98,1),(100,1),(101,1)}
        75:{3,5,6}:{(52,1),(83,1),(101,1)}
        76:{2,4,5,6}:{(53,1),(84,1),(102,1),(103,1),(160,1),(164,1),(210,1)}
        77:{2,3,6,7}:{(54,1),(69,1),(104,1),(105,1),(224,1),(274,1)}
        78:{1,3,4,6,7}:{(54,1),(56,1),(70,1),(104,1),(106,1),(107,1),(167,1),(168,1),(181,1),(224,1),(226,1),(272,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(57,1),(71,1),(105,1),(107,1)}
        80:{1,2,4,5,7}:{(55,1),(58,1),(61,1),(72,1),(107,1),(108,1),(113,1),(115,1),(166,1),(170,1),(175,1),(180,1),(187,1),(228,1),(229,1),(239,1),(273,1),(280,1),(284,1)}
        81:{2,3,5,7}:{(56,1),(73,1),(106,1),(109,1),(110,1),(119,1),(180,1)}
        82:{2,4,7}:{(57,1),(74,1),(107,1),(111,1)}
        83:{3,5,7}:{(58,1),(63,1),(75,1),(111,1)}
        84:{2,4,5,7}:{(59,1),(64,1),(76,1),(112,1),(113,1),(170,1),(175,1),(180,1)}
        85:{2,3,5,6,7}:{(60,1),(105,1),(114,1),(117,1),(125,1),(165,1),(177,1),(180,1),(188,1),(224,1),(235,1),(242,1)}
        86:{1,4,6,7}:{(60,1),(62,1),(107,1),(114,1),(115,1),(168,1),(279,1),(284,1)}
        87:{1,3,6,7}:{(61,1),(63,1),(108,1),(117,1),(188,1),(224,1),(272,1),(305,1)}
        88:{2,4,5,7}:{(62,1),(115,1),(118,1),(119,1),(180,1)}
        89:{3,4,6,7}:{(62,1),(63,1),(111,1),(119,1),(172,1),(305,1),(306,1)}
        90:{2,3,6,7}:{(63,1),(64,1),(112,1),(121,1),(188,1)}
        91:{1,4,6,7}:{(64,1),(67,1),(113,1),(121,1)}
        92:{3,4,5,7}:{(65,1),(119,1),(122,1),(123,1),(306,1)}
        93:{2,4,6,7}:{(65,1),(66,1),(123,1),(124,1)}
        94:{1,3,5,6,7}:{(66,1),(67,1),(121,1),(124,1),(125,1),(184,1),(188,1)}
        95:{2,4,6}:{(68,1),(69,1),(70,1),(126,1)}
        96:{2,3,5,6}:{(69,1),(71,1),(105,1),(126,1),(127,1),(165,1),(189,1),(224,1)}
        97:{1,3,5}:{(70,1),(73,1),(126,1),(128,1),(189,1)}
        98:{1,4,6}:{(71,1),(74,1),(107,1),(127,1),(128,1)}
        99:{1,3,5,6}:{(72,1),(75,1),(108,1),(129,1),(130,1),(189,1),(224,1),(243,1),(245,1),(248,1),(272,1),(305,1),(314,1)}
       100:{2,4,5}:{(73,1),(74,1),(128,1),(131,1)}
       101:{3,4,6}:{(74,1),(75,1),(111,1),(131,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(112,1),(132,1),(133,1),(243,1)}
       103:{1,4,5,6}:{(76,1),(113,1),(133,1),(192,1),(238,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(95,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(96,1),(134,1),(135,1),(197,1)}
       106:{1,3,5,7}:{(78,1),(81,1),(97,1),(134,1),(136,1),(137,1),(197,1),(211,1)}
       107:{1,4,7}:{(79,1),(82,1),(98,1),(135,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(87,1),(99,1),(138,1),(139,1),(197,1),(217,1),(255,1),(295,1)}
       109:{2,3,5,6}:{(81,1),(136,1),(140,1),(150,1),(210,1),(250,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(100,1),(137,1),(140,1),(141,1)}
       111:{3,4,7}:{(82,1),(83,1),(101,1)}
       112:{2,3,5,7}:{(83,1),(84,1),(90,1),(102,1),(142,1),(143,1),(217,1)}
       113:{1,4,5,7}:{(84,1),(91,1),(103,1),(143,1),(201,1),(211,1)}
       114:{2,4,6,7}:{(85,1),(86,1),(135,1),(144,1),(145,1),(196,1),(258,1),(266,1)}
       115:{1,4,5,7}:{(86,1),(88,1),(144,1),(146,1),(147,1),(211,1)}
       116:{1,3,4,6,7}:{(86,1),(87,1),(89,1),(138,1),(145,1),(147,1),(148,1),(199,1)}
       117:{2,3,6,7}:{(87,1),(139,1),(148,1),(149,1),(153,1),(250,1),(289,1)}
       118:{2,4,5,6}:{(88,1),(140,1),(146,1),(150,1),(210,1),(294,1)}
       119:{3,5,7}:{(88,1),(89,1),(150,1)}
       120:{2,3,4,6,7}:{(89,1),(90,1),(93,1),(142,1),(148,1),(151,1),(152,1),(203,1),(262,1),(297,1)}
       121:{1,3,6,7}:{(90,1),(91,1),(143,1),(153,1)}
       122:{3,4,5,6}:{(92,1),(150,1),(154,1),(311,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(151,1),(154,1),(155,1),(297,1)}
       124:{1,4,6,7}:{(93,1),(94,1),(155,1),(156,1)}
       125:{2,5,6,7}:{(94,1),(153,1),(156,1),(214,1)}
       126:{2,5}:{(95,1),(97,1)}
       127:{2,4,6}:{(96,1),(98,1),(135,1),(157,1),(158,1)}
       128:{1,4,5}:{(97,1),(98,1),(100,1),(157,1)}
       129:{1,3,4,6}:{(98,1),(99,1),(101,1),(138,1),(158,1),(159,1),(160,1),(267,1),(298,1),(311,1)}
       130:{2,3,5,6}:{(99,1),(139,1),(160,1),(161,1),(164,1),(210,1),(218,1),(223,1),(250,1),(268,1),(269,1),(289,1)}
       131:{3,4,5}:{(100,1),(101,1)}
       132:{2,3,4,6}:{(101,1),(102,1),(142,1),(160,1),(162,1),(163,1),(267,1),(269,1)}
       133:{1,3,5,6}:{(102,1),(103,1),(143,1),(163,1),(164,1)}
       134:{2,5,7}:{(104,1),(106,1),(126,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(127,1),(167,1)}
       136:{1,3,5,6}:{(106,1),(109,1),(165,1),(168,1),(224,1),(238,1),(272,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(110,1),(128,1),(166,1),(168,1)}
       138:{1,3,4,7}:{(107,1),(108,1),(111,1),(129,1),(167,1),(170,1),(244,1),(284,1),(306,1)}
       139:{2,3,5,7}:{(108,1),(117,1),(130,1),(170,1),(171,1),(175,1),(180,1),(232,1),(273,1),(274,1)}
       140:{2,4,6}:{(109,1),(110,1),(168,1),(172,1)}
       141:{3,4,5,7}:{(110,1),(111,1),(119,1),(131,1),(172,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(132,1),(170,1),(174,1),(244,1),(274,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(121,1),(133,1),(174,1),(175,1)}
       144:{2,4,5,7}:{(114,1),(115,1),(176,1),(177,1),(180,1)}
       145:{3,4,6,7}:{(114,1),(167,1),(177,1),(188,1),(224,1),(233,1),(244,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(168,1),(176,1),(179,1),(238,1),(279,1)}
       147:{1,3,5,7}:{(115,1),(116,1),(119,1),(177,1),(179,1),(180,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(170,1),(180,1),(181,1),(227,1)}
       149:{1,3,6,7}:{(117,1),(171,1),(181,1),(182,1),(272,1)}
       150:{3,5,6}:{(118,1),(119,1),(172,1),(305,1)}
       151:{2,3,5,7}:{(119,1),(120,1),(123,1),(180,1),(183,1),(184,1)}
       152:{1,3,4,6,7}:{(120,1),(121,1),(124,1),(174,1),(181,1),(184,1),(185,1),(188,1),(230,1),(240,1),(244,1),(284,1)}
       153:{2,6,7}:{(121,1),(175,1)}
       154:{2,4,5,6}:{(122,1),(123,1),(183,1),(186,1),(307,1)}
       155:{1,4,5,7}:{(123,1),(124,1),(184,1),(186,1),(187,1),(284,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(187,1),(188,1)}
       157:{2,4,5}:{(126,1),(127,1),(128,1),(189,1)}
       158:{3,4,6}:{(127,1),(167,1),(189,1),(224,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(131,1),(189,1),(191,1),(245,1),(286,1),(308,1),(314,1)}
       160:{2,4,6}:{(129,1),(130,1),(170,1),(191,1),(192,1)}
       161:{1,3,5,6}:{(130,1),(171,1),(192,1),(193,1),(238,1),(245,1),(248,1),(272,1)}
       162:{2,3,4,5}:{(131,1),(132,1),(191,1),(194,1),(286,1),(287,1)}
       163:{1,3,4,6}:{(132,1),(133,1),(174,1),(192,1),(194,1),(195,1),(248,1)}
       164:{2,5,6}:{(133,1),(175,1),(195,1)}
       165:{2,5,6}:{(134,1),(136,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(157,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(158,1),(197,1)}
       168:{1,4,6}:{(136,1),(137,1),(140,1),(196,1)}
       169:{1,3,4,5,7}:{(137,1),(138,1),(141,1),(147,1),(159,1),(197,1),(199,1),(200,1),(206,1),(251,1),(259,1),(295,1)}
       170:{2,4,7}:{(138,1),(139,1),(160,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(149,1),(161,1),(201,1),(202,1),(211,1),(255,1)}
       172:{3,4,6}:{(140,1),(141,1),(150,1)}
       173:{2,3,4,5,7}:{(141,1),(142,1),(151,1),(162,1),(200,1),(203,1),(204,1),(290,1),(295,1),(297,1),(312,1)}
       174:{1,3,4,7}:{(142,1),(143,1),(163,1),(201,1),(205,1),(255,1)}
       175:{2,5,7}:{(143,1),(153,1),(164,1),(205,1)}
       176:{2,4,5,6}:{(144,1),(146,1),(196,1),(207,1),(210,1),(258,1)}
       177:{3,5,7}:{(144,1),(145,1),(207,1)}
       178:{2,3,4,6,7}:{(145,1),(148,1),(198,1),(208,1),(209,1),(215,1),(250,1),(258,1),(266,1),(293,1)}
       179:{1,3,5,6}:{(146,1),(147,1),(150,1),(199,1),(207,1),(210,1)}
       180:{2,5,7}:{(147,1),(148,1),(210,1),(211,1)}
       181:{1,4,6,7}:{(148,1),(149,1),(201,1),(211,1),(253,1)}
       182:{1,2,6,7}:{(149,1),(153,1),(202,1),(289,1)}
       183:{2,3,5,6}:{(150,1),(151,1),(154,1),(203,1),(210,1),(213,1)}
       184:{1,3,5,7}:{(151,1),(152,1),(155,1),(211,1),(213,1),(214,1),(217,1)}
       185:{2,4,6,7}:{(152,1),(153,1),(205,1),(214,1),(215,1),(256,1),(266,1)}
       186:{1,4,5,6}:{(154,1),(155,1),(213,1),(216,1),(298,1)}
       187:{2,4,5,7}:{(155,1),(156,1),(214,1),(216,1),(217,1),(266,1)}
       188:{3,6,7}:{(156,1),(217,1)}
       189:{3,5}:{(157,1),(158,1)}
       190:{2,3,4,6}:{(158,1),(160,1),(198,1),(218,1),(219,1),(223,1),(250,1),(271,1),(311,1)}
       191:{2,4,5}:{(159,1),(160,1),(218,1),(220,1),(268,1)}
       192:{1,4,6}:{(160,1),(161,1),(201,1),(220,1)}
       193:{1,2,5,6}:{(161,1),(164,1),(202,1),(221,1),(268,1),(289,1)}
       194:{1,3,4,5}:{(162,1),(163,1),(220,1),(222,1),(270,1)}
       195:{2,4,6}:{(163,1),(164,1),(205,1),(222,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(168,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(189,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(170,1),(190,1),(225,1),(226,1),(232,1),(306,1)}
       199:{1,3,4,6}:{(168,1),(169,1),(172,1),(179,1),(224,1),(227,1),(233,1),(272,1),(279,1),(305,1)}
       200:{2,4,5,7}:{(169,1),(170,1),(180,1),(191,1),(225,1),(227,1),(228,1),(273,1)}
       201:{1,4,7}:{(170,1),(171,1),(192,1)}
       202:{1,2,5,7}:{(171,1),(175,1),(182,1),(193,1),(229,1),(273,1)}
       203:{2,3,4,6}:{(172,1),(173,1),(183,1),(227,1),(230,1),(301,1),(305,1),(307,1)}
       204:{1,3,4,5,7}:{(173,1),(174,1),(184,1),(194,1),(228,1),(230,1),(231,1),(244,1),(276,1),(284,1),(286,1),(308,1)}
       205:{2,4,7}:{(174,1),(175,1),(195,1),(232,1)}
       206:{3,4,5,7}:{(177,1),(233,1),(234,1),(244,1),(286,1)}
       207:{3,5,6}:{(176,1),(177,1),(224,1),(233,1)}
       208:{2,3,5,7}:{(177,1),(178,1),(180,1),(234,1),(235,1),(236,1),(304,1)}
       209:{1,3,4,6,7}:{(178,1),(181,1),(226,1),(236,1),(237,1),(240,1),(272,1),(279,1),(284,1),(303,1),(305,1),(306,1)}
       210:{2,5,6}:{(179,1),(180,1),(227,1),(238,1)}
       211:{1,5,7}:{(180,1),(181,1),(238,1)}
       212:{1,2,4,6,7}:{(181,1),(182,1),(185,1),(229,1),(237,1),(239,1),(240,1),(275,1),(284,1)}
       213:{1,3,5,6}:{(183,1),(184,1),(186,1),(230,1),(238,1),(241,1),(243,1)}
       214:{2,5,7}:{(184,1),(185,1),(241,1)}
       215:{2,3,6,7}:{(185,1),(188,1),(232,1),(240,1),(242,1),(277,1)}
       216:{2,4,5,6}:{(186,1),(187,1),(241,1),(243,1),(285,1)}
       217:{3,5,7}:{(187,1),(188,1),(243,1),(244,1)}
       218:{2,3,5}:{(189,1),(190,1),(191,1),(245,1),(314,1)}
       219:{1,3,4,6}:{(190,1),(192,1),(226,1),(245,1),(246,1),(248,1),(272,1),(288,1)}
       220:{1,4,5}:{(191,1),(192,1),(245,1)}
       221:{1,2,4,6}:{(192,1),(193,1),(195,1),(229,1),(246,1),(247,1),(248,1)}
       222:{2,4,5}:{(194,1),(195,1),(249,1)}
       223:{2,3,6}:{(195,1),(232,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(200,1),(218,1),(250,1),(251,1),(295,1)}
       226:{1,3,4,7}:{(198,1),(201,1),(219,1),(251,1),(252,1),(255,1)}
       227:{2,4,6}:{(199,1),(200,1),(210,1),(250,1),(253,1),(289,1)}
       228:{1,4,5,7}:{(200,1),(201,1),(211,1),(220,1),(251,1),(253,1)}
       229:{1,2,4,7}:{(201,1),(202,1),(205,1),(221,1),(252,1),(255,1)}
       230:{1,3,4,6}:{(203,1),(204,1),(213,1),(253,1),(256,1),(267,1),(291,1),(298,1)}
       231:{2,4,5,7}:{(204,1),(205,1),(214,1),(222,1),(256,1),(257,1),(266,1),(299,1)}
       232:{2,3,7}:{(205,1),(223,1),(255,1)}
       233:{3,4,6}:{(206,1),(207,1),(258,1)}
       234:{2,4,5,7}:{(206,1),(208,1),(258,1),(259,1),(266,1),(299,1)}
       235:{2,3,5,6}:{(207,1),(208,1),(210,1),(250,1),(258,1),(260,1)}
       236:{1,3,5,7}:{(208,1),(209,1),(211,1),(259,1),(260,1),(261,1),(295,1),(310,1)}
       237:{2,4,6,7}:{(209,1),(252,1),(261,1),(262,1),(289,1),(294,1),(297,1),(309,1)}
       238:{1,5,6}:{(210,1),(211,1),(253,1)}
       239:{1,2,5,7}:{(211,1),(212,1),(214,1),(261,1),(263,1),(264,1)}
       240:{1,3,6,7}:{(212,1),(215,1),(255,1),(262,1),(264,1),(291,1)}
       241:{2,5,6}:{(213,1),(214,1),(256,1)}
       242:{2,3,5,7}:{(214,1),(215,1),(217,1),(264,1),(265,1),(266,1)}
       243:{3,5,6}:{(216,1),(217,1),(267,1)}
       244:{3,4,7}:{(217,1),(266,1),(267,1)}
       245:{1,3,5}:{(218,1),(219,1),(220,1),(268,1)}
       246:{2,4,6}:{(219,1),(252,1),(268,1),(269,1),(289,1),(300,1)}
       247:{1,2,4,5}:{(220,1),(221,1),(222,1),(268,1),(270,1),(300,1)}
       248:{1,3,6}:{(221,1),(223,1),(255,1),(269,1),(270,1)}
       249:{2,3,5}:{(222,1),(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(228,1),(245,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(246,1),(273,1),(274,1)}
       253:{1,4,6}:{(227,1),(228,1),(238,1),(272,1)}
       254:{1,2,4,5,7}:{(228,1),(229,1),(231,1),(239,1),(247,1),(273,1),(275,1),(276,1),(280,1),(284,1),(302,1),(308,1),(313,1)}
       255:{1,3,7}:{(229,1),(232,1),(248,1),(274,1)}
       256:{2,4,6}:{(230,1),(231,1),(241,1),(277,1)}
       257:{2,3,5,7}:{(231,1),(232,1),(249,1),(276,1),(277,1),(278,1),(304,1)}
       258:{2,4,6}:{(233,1),(234,1),(235,1),(279,1)}
       259:{1,4,5,7}:{(234,1),(236,1),(279,1),(280,1),(284,1),(308,1)}
       260:{1,3,5,6}:{(235,1),(236,1),(238,1),(272,1),(279,1),(281,1),(305,1)}
       261:{2,5,7}:{(236,1),(237,1),(281,1),(313,1)}
       262:{2,3,6,7}:{(237,1),(240,1),(274,1),(282,1),(301,1),(305,1)}
       263:{1,2,5,6}:{(238,1),(239,1),(241,1),(275,1),(281,1),(283,1),(313,1)}
       264:{1,3,5,7}:{(239,1),(240,1),(242,1),(282,1),(283,1),(284,1)}
       265:{2,3,5,6}:{(241,1),(242,1),(243,1),(277,1),(283,1),(285,1),(304,1)}
       266:{2,4,7}:{(242,1),(244,1),(284,1),(285,1)}
       267:{3,4,6}:{(243,1),(244,1),(285,1),(286,1)}
       268:{2,5}:{(245,1),(246,1)}
       269:{2,3,6}:{(246,1),(248,1),(274,1),(287,1)}
       270:{1,3,5}:{(247,1),(248,1),(249,1),(287,1),(288,1)}
       271:{2,3,4}:{(249,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(253,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(268,1),(289,1)}
       274:{2,3,7}:{(252,1),(255,1),(269,1)}
       275:{1,2,4,6}:{(253,1),(254,1),(256,1),(263,1),(289,1),(291,1),(294,1),(298,1),(309,1)}
       276:{1,3,5,7}:{(254,1),(255,1),(257,1),(270,1),(290,1),(291,1),(292,1),(295,1),(310,1)}
       277:{2,3,6}:{(256,1),(257,1),(291,1)}
       278:{2,3,4,7}:{(257,1),(266,1),(271,1),(292,1),(293,1)}
       279:{1,4,6}:{(258,1),(259,1),(260,1),(294,1)}
       280:{2,4,5,7}:{(259,1),(261,1),(294,1),(295,1),(297,1),(312,1)}
       281:{2,5,6}:{(260,1),(261,1),(289,1),(294,1)}
       282:{2,3,5,7}:{(261,1),(262,1),(264,1),(295,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(263,1),(264,1),(265,1),(291,1),(296,1),(298,1),(310,1)}
       284:{1,4,7}:{(264,1),(266,1),(297,1),(298,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(298,1),(299,1)}
       286:{3,4,5}:{(267,1),(299,1)}
       287:{2,3,5}:{(268,1),(269,1),(270,1),(300,1)}
       288:{1,3,4}:{(270,1),(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(276,1),(287,1),(301,1),(302,1),(313,1)}
       291:{1,3,6}:{(275,1),(276,1),(277,1),(301,1),(305,1)}
       292:{1,3,4,7}:{(276,1),(278,1),(284,1),(288,1),(302,1),(303,1),(306,1)}
       293:{2,3,4,6}:{(277,1),(278,1),(285,1),(303,1),(304,1)}
       294:{2,4,6}:{(279,1),(280,1),(281,1),(305,1)}
       295:{3,5,7}:{(280,1),(305,1),(306,1),(314,1)}
       296:{2,3,5,6}:{(281,1),(282,1),(283,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       297:{2,4,7}:{(282,1),(284,1),(306,1),(307,1)}
       298:{1,4,6}:{(283,1),(284,1),(285,1),(307,1),(308,1)}
       299:{2,4,5}:{(285,1),(286,1),(304,1),(308,1)}
       300:{2,4}:{(287,1),(288,1)}
       301:{2,3,6}:{(289,1),(290,1),(291,1),(309,1)}
       302:{2,4,7}:{(290,1),(292,1),(300,1),(309,1)}
       303:{1,3,4,6}:{(291,1),(292,1),(293,1),(298,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(293,1),(299,1),(310,1)}
       305:{3,6}:{(294,1),(295,1)}
       306:{3,4,7}:{(295,1),(297,1),(311,1)}
       307:{2,4,6}:{(296,1),(297,1),(298,1),(311,1),(312,1)}
       308:{1,4,5}:{(298,1),(299,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1770 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(7,1),(27,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(30,1),(67,1),(110,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(70,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(32,1),(35,1),(69,1)}
         5:{1,3,4,6}:{(2,1),(4,1),(11,1),(12,1),(13,1),(14,1),(40,1),(43,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,5}:{(2,1),(12,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(126,1)}
         9:{2,3,5}:{(4,1),(12,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(13,1),(20,1),(53,1),(92,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(57,1),(60,1),(69,1)}
        12:{1,3,5}:{(5,1),(7,1),(9,1),(21,1),(23,1)}
        13:{1,3,4,7}:{(5,1),(8,1),(10,1),(22,1),(25,1),(64,1),(70,1),(111,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(7,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,6}:{(7,1),(24,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(25,1),(30,1)}
        18:{2,4,5}:{(9,1),(23,1),(31,1),(32,1)}
        19:{2,3,5,6}:{(9,1),(24,1),(32,1),(34,1),(35,1),(69,1),(71,1),(76,1),(104,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(25,1),(33,1),(35,1)}
        21:{2,3,5}:{(11,1),(12,1),(36,1)}
        22:{2,3,4,7}:{(11,1),(13,1),(38,1),(80,1),(92,1)}
        23:{1,4,5}:{(12,1),(18,1),(36,1),(40,1)}
        24:{1,3,5,6}:{(12,1),(16,1),(19,1),(37,1),(40,1),(42,1),(43,1),(47,1),(89,1),(91,1),(121,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(17,1),(20,1),(38,1),(41,1),(43,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(40,1),(47,1),(48,1),(86,1)}
        29:{1,2,5,7}:{(16,1),(42,1),(48,1),(49,1),(122,1),(126,1)}
        30:{1,2,6}:{(17,1),(43,1)}
        31:{3,4,5}:{(18,1),(51,1)}
        32:{2,4,6}:{(18,1),(19,1),(40,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(54,1),(97,1)}
        34:{2,3,5,7}:{(19,1),(42,1),(53,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        35:{2,3,6}:{(20,1),(43,1),(54,1)}
        36:{2,4,5}:{(21,1),(23,1),(56,1),(57,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(57,1),(59,1),(60,1),(69,1),(98,1),(103,1),(104,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(25,1),(58,1),(60,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,6}:{(23,1),(24,1),(32,1),(57,1),(64,1)}
        41:{1,4,5,7}:{(23,1),(25,1),(33,1),(58,1),(64,1),(65,1),(109,1)}
        42:{1,3,5,7}:{(24,1),(29,1),(34,1),(59,1),(64,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        43:{1,3,6}:{(25,1),(30,1),(35,1),(60,1),(65,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(64,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(32,1),(61,1),(71,1),(72,1),(76,1),(104,1),(115,1)}
        51:{3,4,6}:{(31,1),(32,1),(71,1),(73,1)}
        52:{3,4,5,7}:{(31,1),(33,1),(73,1),(74,1),(114,1)}
        53:{2,4,7}:{(32,1),(34,1),(64,1),(73,1)}
        54:{2,4,6}:{(33,1),(35,1),(65,1),(74,1),(76,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(75,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(78,1)}
        57:{2,4,6}:{(36,1),(37,1),(40,1),(78,1),(80,1)}
        58:{2,4,5,7}:{(36,1),(38,1),(41,1),(79,1),(80,1),(81,1),(120,1)}
        59:{2,3,5,7}:{(37,1),(42,1),(80,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        60:{2,3,6}:{(38,1),(43,1),(81,1)}
        61:{1,4,5,6}:{(40,1),(50,1),(77,1),(83,1),(84,1),(89,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(40,1),(47,1),(51,1),(78,1),(83,1),(86,1),(87,1)}
        64:{1,4,7}:{(40,1),(42,1),(53,1),(80,1)}
        65:{1,4,6}:{(41,1),(43,1),(54,1),(81,1),(89,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(88,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(51,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(53,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,7}:{(51,1),(53,1),(93,1)}
        74:{3,4,6}:{(52,1),(54,1),(96,1)}
        75:{2,4,6,7}:{(53,1),(54,1),(55,1),(88,1),(95,1),(97,1)}
        76:{2,5,6}:{(54,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(57,1),(61,1),(98,1),(99,1),(103,1),(104,1),(132,1)}
        78:{3,4,6}:{(56,1),(57,1),(98,1),(100,1)}
        79:{3,4,5,7}:{(56,1),(58,1),(100,1),(101,1),(131,1)}
        80:{2,4,7}:{(57,1),(59,1),(64,1),(100,1)}
        81:{2,4,6}:{(58,1),(60,1),(65,1),(101,1),(103,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(102,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(64,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(64,1),(70,1),(73,1),(100,1),(105,1),(108,1)}
        88:{1,4,6,7}:{(64,1),(65,1),(66,1),(75,1),(102,1),(109,1)}
        89:{1,5,6}:{(65,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(73,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,4,6,7}:{(73,1),(74,1),(75,1),(112,1),(114,1),(135,1)}
        96:{3,5,6}:{(74,1),(76,1),(114,1),(115,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(114,1)}
        98:{3,5,6}:{(77,1),(78,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(80,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,7}:{(78,1),(80,1),(116,1)}
       101:{3,4,6}:{(79,1),(81,1),(119,1)}
       102:{2,4,6,7}:{(80,1),(81,1),(82,1),(88,1),(118,1),(120,1)}
       103:{2,5,6}:{(81,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       115:{4,5,6}:{(96,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(100,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,4,6,7}:{(100,1),(101,1),(102,1),(129,1),(131,1),(139,1)}
       119:{3,5,6}:{(101,1),(103,1),(131,1),(132,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(131,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(114,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       132:{4,5,6}:{(119,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(131,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1771 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(65,1),(109,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(11,1),(12,1),(13,1),(82,1),(85,1),(123,1)}
         5:{1,2,5,7}:{(1,1),(12,1),(14,1),(15,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(16,1),(88,1),(124,1)}
         7:{1,2,3,5}:{(2,1),(15,1),(16,1),(45,1)}
         8:{2,3,5,7}:{(3,1),(12,1),(17,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(13,1),(18,1),(19,1),(46,1),(50,1),(86,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(51,1),(52,1),(92,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(98,1),(106,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(21,1),(23,1),(24,1),(25,1)}
        13:{1,3,4,6}:{(4,1),(6,1),(9,1),(22,1),(24,1),(25,1),(29,1),(62,1),(65,1),(67,1),(107,1)}
        14:{1,2,6}:{(5,1),(24,1)}
        15:{1,2,5}:{(6,1),(25,1)}
        16:{1,2,4}:{(7,1),(29,1)}
        17:{2,4,5,7}:{(8,1),(10,1),(23,1),(30,1),(33,1),(68,1),(70,1)}
        18:{2,3,6}:{(8,1),(24,1),(30,1)}
        19:{2,3,5}:{(9,1),(25,1),(33,1)}
        20:{3,4,6}:{(10,1),(30,1),(35,1)}
        21:{2,3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(11,1),(13,1),(37,1),(38,1),(46,1),(78,1),(86,1)}
        23:{1,4,5,7}:{(12,1),(17,1),(36,1),(39,1),(42,1),(80,1),(82,1)}
        24:{1,3,6}:{(12,1),(14,1),(18,1),(37,1),(39,1)}
        25:{1,3,5}:{(13,1),(15,1),(19,1),(38,1),(42,1)}
        26:{1,2,6,7}:{(14,1),(40,1),(43,1),(137,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(120,1),(124,1)}
        28:{1,2,4,5}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1)}
        29:{1,3,4}:{(16,1),(45,1),(46,1)}
        30:{2,4,6}:{(17,1),(18,1),(20,1),(39,1),(48,1)}
        31:{2,3,6,7}:{(18,1),(40,1),(47,1),(49,1),(125,1),(137,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(48,1),(49,1),(50,1),(86,1),(91,1),(120,1)}
        33:{2,4,5}:{(19,1),(42,1),(50,1),(51,1)}
        34:{3,4,6,7}:{(20,1),(47,1),(52,1),(92,1),(93,1),(125,1)}
        35:{3,5,6}:{(20,1),(48,1),(52,1),(53,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(55,1),(58,1),(96,1),(98,1)}
        37:{2,3,6}:{(21,1),(24,1),(55,1)}
        38:{2,3,5}:{(22,1),(25,1),(58,1)}
        39:{1,4,6}:{(23,1),(24,1),(30,1),(55,1),(60,1)}
        40:{1,3,6,7}:{(24,1),(26,1),(31,1),(56,1),(59,1),(61,1),(139,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(32,1),(57,1),(60,1),(61,1),(62,1),(65,1),(107,1),(132,1)}
        42:{1,4,5}:{(25,1),(33,1),(58,1),(62,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(61,1),(64,1),(131,1),(134,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(62,1),(64,1),(65,1),(104,1)}
        45:{1,3,5}:{(28,1),(29,1),(65,1),(66,1)}
        46:{2,3,4}:{(29,1),(66,1),(67,1)}
        47:{2,4,6,7}:{(30,1),(31,1),(34,1),(59,1),(68,1),(70,1)}
        48:{2,5,6}:{(30,1),(35,1),(60,1),(68,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(61,1),(68,1),(70,1),(106,1),(111,1),(131,1)}
        50:{2,4,6}:{(32,1),(33,1),(62,1),(70,1),(71,1)}
        51:{3,4,5}:{(33,1),(71,1)}
        52:{3,5,7}:{(34,1),(35,1),(68,1),(73,1)}
        53:{4,5,6}:{(35,1),(73,1)}
        54:{3,4,5,7}:{(36,1),(74,1),(79,1),(112,1),(117,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(74,1),(76,1)}
        56:{2,3,6,7}:{(37,1),(40,1),(75,1),(77,1),(136,1),(137,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(77,1),(78,1),(86,1),(116,1),(120,1)}
        58:{2,4,5}:{(38,1),(42,1),(78,1),(79,1)}
        59:{1,4,6,7}:{(39,1),(40,1),(47,1),(75,1),(80,1),(82,1)}
        60:{1,5,6}:{(39,1),(48,1),(76,1),(80,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(77,1),(80,1),(82,1),(85,1),(123,1),(138,1)}
        62:{1,4,6}:{(41,1),(42,1),(50,1),(78,1),(82,1)}
        63:{1,3,4,5}:{(42,1),(45,1),(51,1),(79,1),(83,1),(84,1)}
        64:{1,2,4,7}:{(43,1),(44,1),(82,1),(85,1),(121,1)}
        65:{1,3,6}:{(44,1),(45,1),(85,1),(86,1)}
        66:{2,3,5}:{(45,1),(46,1),(84,1),(86,1),(87,1)}
        67:{1,3,4}:{(46,1),(87,1),(88,1)}
        68:{2,5,7}:{(47,1),(48,1),(52,1),(80,1)}
        69:{2,4,5,6}:{(48,1),(50,1),(53,1),(81,1),(90,1),(91,1),(120,1)}
        70:{2,4,7}:{(49,1),(50,1),(82,1),(92,1)}
        71:{3,4,6}:{(50,1),(51,1),(91,1),(92,1)}
        72:{3,5,6,7}:{(52,1),(89,1),(93,1),(125,1)}
        73:{4,5,7}:{(52,1),(53,1),(93,1)}
        74:{3,4,6}:{(54,1),(55,1),(95,1)}
        75:{2,4,6,7}:{(55,1),(56,1),(59,1),(94,1),(96,1),(98,1)}
        76:{2,5,6}:{(55,1),(60,1),(95,1),(96,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(96,1),(98,1),(106,1),(129,1),(131,1)}
        78:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(99,1)}
        79:{3,4,5}:{(58,1),(99,1)}
        80:{1,5,7}:{(59,1),(60,1),(68,1),(96,1)}
        81:{1,4,5,6}:{(60,1),(62,1),(69,1),(97,1),(101,1),(102,1),(132,1)}
        82:{1,4,7}:{(61,1),(62,1),(70,1),(98,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(65,1),(71,1),(99,1),(102,1),(103,1),(104,1)}
        84:{2,4,5}:{(63,1),(66,1),(104,1),(105,1)}
        85:{1,3,7}:{(64,1),(65,1),(106,1)}
        86:{2,3,6}:{(65,1),(66,1),(104,1),(106,1),(107,1)}
        87:{1,3,5}:{(66,1),(67,1),(105,1),(107,1),(108,1)}
        88:{1,2,4}:{(67,1),(108,1),(109,1)}
        89:{2,5,6,7}:{(68,1),(72,1),(100,1),(110,1)}
        90:{2,4,5,7}:{(68,1),(69,1),(70,1),(73,1),(101,1),(110,1),(111,1),(131,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{3,4,7}:{(70,1),(71,1),(111,1)}
        93:{4,6,7}:{(72,1),(73,1)}
        94:{3,4,6,7}:{(74,1),(75,1),(112,1),(117,1),(135,1),(136,1)}
        95:{3,5,6}:{(74,1),(76,1),(112,1),(113,1)}
        96:{2,5,7}:{(75,1),(76,1),(80,1),(112,1)}
        97:{2,4,5,6}:{(76,1),(78,1),(81,1),(113,1),(115,1),(116,1),(120,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(117,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{1,5,6,7}:{(80,1),(89,1),(114,1),(118,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(82,1),(90,1),(115,1),(118,1),(119,1),(138,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(91,1),(116,1),(119,1),(120,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(85,1),(92,1),(117,1),(119,1),(121,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(120,1),(121,1),(122,1)}
       105:{1,4,5}:{(84,1),(87,1),(122,1)}
       106:{2,3,7}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,3,6}:{(86,1),(87,1),(122,1),(123,1),(124,1)}
       108:{1,2,5}:{(87,1),(88,1),(124,1)}
       109:{1,2,3}:{(88,1)}
       110:{2,4,6,7}:{(89,1),(90,1),(93,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(90,1),(91,1),(92,1),(125,1)}
       112:{3,5,7}:{(94,1),(95,1),(96,1),(127,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{2,5,6,7}:{(96,1),(100,1),(126,1),(128,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(127,1),(128,1),(129,1),(131,1)}
       116:{3,5,6}:{(97,1),(99,1),(129,1)}
       117:{3,4,7}:{(98,1),(99,1),(129,1)}
       118:{1,4,6,7}:{(100,1),(101,1),(110,1),(128,1),(130,1),(139,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(103,1),(111,1),(129,1),(130,1),(131,1)}
       120:{2,5,6}:{(102,1),(104,1),(131,1),(132,1)}
       121:{2,4,7}:{(103,1),(104,1),(106,1),(131,1),(133,1)}
       122:{1,4,6}:{(104,1),(105,1),(107,1),(132,1),(133,1)}
       123:{1,3,7}:{(106,1),(107,1),(133,1),(134,1)}
       124:{1,2,6}:{(107,1),(108,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(112,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(115,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(119,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(119,1),(120,1),(121,1),(137,1),(138,1)}
       132:{1,5,6}:{(120,1),(122,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(123,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1772 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1773 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1774 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(36,1),(48,1),(89,1),(101,1),(104,1),(106,1),(144,1),(150,1),(232,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(66,1),(75,1),(77,1),(121,1),(131,1),(134,1),(135,1),(178,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(69,1),(126,1),(172,1),(177,1)}
         3:{2,3,4,6,7}:{(8,1),(9,1),(14,1),(35,1),(52,1),(85,1),(103,1),(142,1),(145,1),(147,1),(150,1),(241,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(45,1),(99,1),(104,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(50,1),(52,1),(150,1),(163,1),(164,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(53,1),(149,1),(156,1),(201,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(89,1),(143,1)}
         8:{1,3,4,6,7}:{(3,1),(19,1),(20,1),(22,1),(59,1),(66,1),(115,1),(117,1),(121,1),(171,1),(174,1),(175,1),(178,1)}
         9:{2,3,5,7}:{(3,1),(18,1),(20,1),(21,1),(109,1),(132,1),(166,1),(177,1)}
        10:{1,2,4,6,7}:{(5,1),(19,1),(22,1),(23,1),(65,1),(66,1),(131,1),(171,1),(178,1),(179,1),(180,1),(186,1),(215,1),(221,1),(235,1)}
        11:{2,3,5,6,7}:{(4,1),(25,1),(26,1),(69,1),(126,1),(130,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(27,1),(28,1),(75,1),(129,1),(134,1)}
        13:{2,4,6}:{(4,1),(7,1),(28,1),(29,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(30,1),(75,1),(122,1),(189,1),(215,1)}
        15:{2,5,7}:{(5,1),(6,1),(27,1),(177,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(28,1),(31,1),(66,1),(120,1)}
        17:{3,4,5,7}:{(7,1),(29,1),(69,1),(117,1),(172,1)}
        18:{2,3,5,6}:{(9,1),(34,1),(35,1),(82,1),(140,1),(145,1)}
        19:{2,4,6,7}:{(8,1),(36,1),(37,1),(87,1),(89,1),(150,1),(199,1),(200,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(34,1),(37,1),(38,1),(90,1),(149,1),(192,1),(201,1)}
        21:{2,4,5,7}:{(9,1),(35,1),(38,1),(39,1),(52,1),(102,1)}
        22:{1,3,6,7}:{(10,1),(14,1),(36,1),(41,1),(93,1),(151,1),(203,1),(232,1),(241,1)}
        23:{1,2,5,7}:{(10,1),(15,1),(37,1),(40,1),(41,1),(156,1),(192,1),(201,1),(205,1),(226,1)}
        24:{2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(99,1),(143,1),(207,1)}
        25:{1,3,5,6,7}:{(11,1),(12,1),(46,1),(47,1),(97,1),(100,1),(156,1),(160,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(43,1),(47,1),(48,1)}
        27:{2,5,6}:{(12,1),(15,1),(50,1),(163,1)}
        28:{1,4,6}:{(12,1),(13,1),(16,1),(50,1)}
        29:{3,4,6}:{(13,1),(17,1),(45,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(41,1),(49,1),(52,1),(53,1),(226,1),(241,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(50,1),(52,1),(53,1),(102,1)}
        32:{1,3,4,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1),(94,1),(97,1),(107,1),(149,1),(154,1),(157,1),(204,1),(206,1),(232,1),(233,1)}
        33:{2,3,5,6,7}:{(18,1),(56,1),(57,1),(109,1),(166,1),(170,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(58,1),(59,1),(115,1),(169,1),(174,1)}
        35:{2,4,6}:{(18,1),(21,1),(59,1),(60,1)}
        36:{2,3,6,7}:{(19,1),(22,1),(61,1),(115,1),(122,1),(186,1),(218,1)}
        37:{2,5,7}:{(19,1),(20,1),(58,1),(177,1)}
        38:{1,4,5,7}:{(20,1),(21,1),(59,1),(62,1),(66,1),(120,1)}
        39:{3,4,5,7}:{(21,1),(60,1),(77,1),(109,1),(132,1)}
        40:{1,2,5,6}:{(23,1),(27,1),(58,1),(64,1),(65,1),(129,1),(169,1),(177,1),(179,1),(185,1),(214,1),(219,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(30,1),(61,1),(64,1),(66,1)}
        42:{1,2,4,5,7}:{(23,1),(31,1),(62,1),(65,1),(66,1),(67,1),(79,1),(119,1),(120,1),(123,1),(136,1),(176,1),(177,1),(180,1),(219,1),(221,1),(222,1),(235,1),(236,1),(239,1)}
        43:{2,4,5,7}:{(24,1),(26,1),(68,1),(69,1),(126,1),(221,1)}
        44:{1,4,5,6}:{(24,1),(28,1),(68,1),(70,1),(71,1),(120,1),(129,1),(184,1)}
        45:{3,5,6}:{(24,1),(29,1),(69,1),(172,1),(223,1)}
        46:{2,5,6,7}:{(25,1),(27,1),(72,1),(126,1),(186,1)}
        47:{1,4,6,7}:{(25,1),(26,1),(28,1),(68,1),(72,1)}
        48:{3,4,6,7}:{(26,1),(29,1),(69,1)}
        49:{2,3,5,6}:{(27,1),(30,1),(64,1),(74,1),(75,1),(122,1),(132,1),(177,1),(214,1),(237,1),(238,1)}
        50:{2,4,6}:{(27,1),(28,1),(31,1),(75,1)}
        51:{1,3,4,6}:{(28,1),(29,1),(32,1),(71,1),(75,1),(76,1),(127,1),(134,1),(184,1),(223,1)}
        52:{2,4,7}:{(30,1),(66,1),(74,1),(77,1)}
        53:{3,5,7}:{(31,1),(75,1),(77,1),(132,1)}
        54:{2,4,5,7}:{(32,1),(76,1),(78,1),(79,1),(123,1),(126,1),(136,1),(177,1),(181,1),(183,1),(221,1),(222,1)}
        55:{2,4,5,6}:{(35,1),(80,1),(81,1),(82,1),(102,1),(140,1),(228,1)}
        56:{1,3,5,6,7}:{(33,1),(34,1),(83,1),(84,1),(138,1),(141,1),(192,1),(196,1)}
        57:{2,4,6,7}:{(33,1),(35,1),(80,1),(84,1),(85,1)}
        58:{2,5,6}:{(34,1),(37,1),(87,1),(199,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        60:{3,4,6}:{(35,1),(39,1),(82,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(41,1),(86,1),(89,1),(90,1),(205,1),(232,1)}
        62:{2,4,5,7}:{(37,1),(38,1),(87,1),(89,1),(90,1),(143,1)}
        63:{1,3,4,5,7}:{(38,1),(39,1),(88,1),(90,1),(91,1),(94,1),(138,1),(148,1),(149,1),(190,1),(193,1),(225,1),(227,1),(241,1),(242,1)}
        64:{1,3,5,6}:{(40,1),(41,1),(49,1),(86,1),(92,1),(93,1),(149,1),(151,1),(201,1),(231,1)}
        65:{1,2,4,6}:{(40,1),(42,1),(50,1),(87,1),(92,1),(93,1),(105,1),(146,1),(150,1),(163,1),(199,1),(207,1),(228,1)}
        66:{1,4,7}:{(41,1),(52,1),(89,1),(92,1)}
        67:{1,3,5,7}:{(42,1),(53,1),(90,1),(93,1),(94,1),(95,1),(149,1),(203,1),(231,1),(232,1),(233,1),(241,1),(242,1)}
        68:{1,4,5,7}:{(43,1),(44,1),(47,1),(96,1),(97,1),(156,1),(204,1)}
        69:{3,5,7}:{(43,1),(45,1),(48,1),(232,1)}
        70:{2,4,5,6}:{(44,1),(50,1),(96,1),(98,1),(99,1),(102,1),(158,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(51,1),(97,1),(98,1),(99,1),(149,1)}
        72:{2,4,6,7}:{(46,1),(47,1),(50,1),(96,1),(100,1)}
        73:{1,3,4,6,7}:{(47,1),(48,1),(51,1),(97,1),(100,1),(101,1),(154,1),(160,1),(204,1),(232,1)}
        74:{2,4,6}:{(49,1),(52,1),(92,1),(102,1),(103,1),(243,1)}
        75:{3,6}:{(50,1),(53,1)}
        76:{2,4,6}:{(51,1),(54,1),(99,1),(104,1),(105,1),(163,1)}
        77:{3,4,7}:{(52,1),(53,1),(103,1),(241,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(161,1),(232,1),(233,1)}
        79:{1,4,5,7}:{(54,1),(105,1),(107,1),(152,1),(156,1),(201,1),(204,1),(206,1)}
        80:{2,4,5,7}:{(55,1),(57,1),(108,1),(109,1),(166,1),(235,1)}
        81:{1,4,5,6}:{(55,1),(59,1),(108,1),(110,1),(111,1),(120,1),(169,1),(213,1)}
        82:{3,5,6}:{(55,1),(60,1),(109,1),(132,1),(237,1)}
        83:{2,5,6,7}:{(56,1),(58,1),(112,1),(166,1),(215,1)}
        84:{1,4,6,7}:{(56,1),(57,1),(59,1),(108,1),(112,1)}
        85:{3,4,6,7}:{(57,1),(60,1),(109,1)}
        86:{2,3,5,6}:{(58,1),(61,1),(64,1),(114,1),(115,1),(122,1),(172,1),(177,1),(185,1),(223,1),(224,1)}
        87:{2,4,6}:{(58,1),(59,1),(62,1),(115,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(63,1),(111,1),(115,1),(116,1),(167,1),(174,1),(213,1),(237,1)}
        89:{2,4,7}:{(61,1),(66,1),(114,1),(117,1)}
        90:{3,5,7}:{(62,1),(115,1),(117,1),(172,1)}
        91:{2,4,5,7}:{(63,1),(116,1),(118,1),(119,1),(123,1),(166,1),(176,1),(177,1),(210,1),(212,1),(235,1),(236,1)}
        92:{1,4,6}:{(64,1),(66,1),(74,1),(114,1),(120,1),(239,1)}
        93:{1,3,6}:{(65,1),(67,1),(75,1),(115,1),(122,1),(223,1),(237,1)}
        94:{1,3,4,7}:{(66,1),(67,1),(77,1),(117,1),(121,1),(123,1),(239,1),(240,1),(244,1)}
        95:{2,3,5,7}:{(67,1),(122,1),(123,1),(124,1),(136,1),(176,1),(177,1),(189,1),(218,1),(224,1),(238,1)}
        96:{2,4,5,7}:{(68,1),(70,1),(72,1),(125,1),(126,1),(181,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(125,1),(126,1)}
        98:{3,5,6}:{(70,1),(75,1),(125,1),(127,1),(132,1)}
        99:{2,5,6}:{(71,1),(76,1),(126,1),(129,1),(177,1)}
       100:{3,6,7}:{(72,1),(75,1),(125,1)}
       101:{2,4,6,7}:{(73,1),(76,1),(126,1),(130,1),(131,1),(181,1),(186,1),(221,1)}
       102:{2,4,5}:{(74,1),(120,1),(132,1),(177,1)}
       103:{3,4,6}:{(74,1),(75,1),(77,1),(132,1),(237,1),(244,1)}
       104:{2,3,6}:{(75,1),(76,1),(78,1),(134,1),(223,1)}
       105:{1,4,6}:{(76,1),(79,1),(129,1),(134,1)}
       106:{2,3,4,7}:{(77,1),(78,1),(123,1),(133,1),(135,1),(181,1),(218,1),(240,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(134,1),(135,1),(136,1),(187,1)}
       108:{1,4,5,7}:{(80,1),(81,1),(84,1),(137,1),(138,1),(192,1),(225,1)}
       109:{3,5,7}:{(80,1),(82,1),(85,1),(241,1)}
       110:{2,4,5,6}:{(81,1),(87,1),(137,1),(139,1),(140,1),(143,1),(194,1)}
       111:{1,3,5,6}:{(81,1),(82,1),(88,1),(138,1),(139,1),(140,1),(149,1)}
       112:{2,4,6,7}:{(83,1),(84,1),(87,1),(137,1),(141,1)}
       113:{1,3,4,6,7}:{(84,1),(85,1),(88,1),(138,1),(141,1),(142,1),(190,1),(196,1),(225,1),(241,1)}
       114:{2,4,6}:{(86,1),(89,1),(92,1),(143,1),(144,1),(234,1)}
       115:{3,6}:{(87,1),(90,1)}
       116:{2,4,6}:{(88,1),(91,1),(140,1),(145,1),(146,1),(199,1)}
       117:{3,4,7}:{(89,1),(90,1),(144,1),(232,1)}
       118:{2,3,5,7}:{(90,1),(91,1),(145,1),(147,1),(148,1),(197,1),(241,1),(242,1)}
       119:{1,4,5,7}:{(91,1),(146,1),(148,1),(152,1),(192,1),(201,1),(225,1),(227,1)}
       120:{1,4,5}:{(92,1),(102,1),(143,1),(149,1),(201,1)}
       121:{1,3,4,6}:{(92,1),(93,1),(94,1),(103,1),(144,1),(149,1),(150,1)}
       122:{2,3,6}:{(93,1),(95,1),(150,1),(151,1),(163,1),(199,1)}
       123:{2,4,7}:{(94,1),(95,1),(150,1),(152,1),(234,1),(243,1)}
       124:{1,3,5,7}:{(95,1),(151,1),(152,1),(153,1),(201,1),(203,1),(231,1)}
       125:{3,5,7}:{(96,1),(98,1),(100,1),(154,1)}
       126:{2,5,7}:{(97,1),(99,1),(101,1),(156,1)}
       127:{3,4,6}:{(98,1),(154,1),(157,1),(158,1)}
       128:{2,3,5,6}:{(98,1),(99,1),(104,1),(155,1),(158,1),(159,1),(161,1)}
       129:{1,5,6}:{(99,1),(105,1),(156,1),(201,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(104,1),(155,1),(160,1),(232,1)}
       131:{1,4,6,7}:{(101,1),(105,1),(156,1),(160,1),(204,1)}
       132:{3,5}:{(102,1),(103,1)}
       133:{2,3,4,6}:{(103,1),(104,1),(106,1),(150,1),(158,1),(161,1),(162,1),(230,1),(243,1)}
       134:{1,3,6}:{(104,1),(105,1),(107,1),(163,1)}
       135:{1,3,4,7}:{(106,1),(107,1),(152,1),(162,1),(164,1),(203,1),(204,1),(232,1)}
       136:{2,5,7}:{(107,1),(163,1),(164,1),(208,1)}
       137:{2,4,5,7}:{(108,1),(110,1),(112,1),(165,1),(166,1),(210,1)}
       138:{1,3,5,7}:{(108,1),(109,1),(111,1),(113,1),(165,1),(166,1)}
       139:{3,5,6}:{(110,1),(115,1),(165,1),(167,1),(172,1)}
       140:{2,5,6}:{(111,1),(116,1),(166,1),(169,1),(177,1)}
       141:{3,6,7}:{(112,1),(115,1),(165,1)}
       142:{2,4,6,7}:{(113,1),(116,1),(166,1),(170,1),(171,1),(210,1),(215,1),(235,1)}
       143:{2,4,5}:{(114,1),(120,1),(172,1),(177,1)}
       144:{3,4,6}:{(114,1),(115,1),(117,1),(172,1),(223,1),(240,1)}
       145:{2,3,6}:{(115,1),(116,1),(118,1),(174,1),(237,1)}
       146:{1,4,6}:{(116,1),(119,1),(169,1),(174,1)}
       147:{2,3,4,7}:{(117,1),(118,1),(123,1),(173,1),(175,1),(189,1),(210,1),(244,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(174,1),(175,1),(176,1),(216,1)}
       149:{1,3,5}:{(120,1),(121,1),(132,1),(172,1),(177,1)}
       150:{2,4,6}:{(121,1),(122,1),(123,1),(177,1),(178,1)}
       151:{1,3,6}:{(122,1),(124,1),(178,1),(179,1)}
       152:{1,4,7}:{(123,1),(124,1),(178,1),(239,1)}
       153:{1,2,5,7}:{(124,1),(136,1),(176,1),(179,1),(180,1),(219,1)}
       154:{3,4,7}:{(125,1),(127,1),(181,1)}
       155:{2,3,5,7}:{(125,1),(126,1),(128,1),(130,1),(181,1),(182,1)}
       156:{1,5,7}:{(126,1),(129,1),(131,1)}
       157:{3,4,5}:{(127,1),(132,1),(183,1),(244,1)}
       158:{2,4,6}:{(127,1),(128,1),(181,1),(183,1),(184,1)}
       159:{1,3,5,6}:{(128,1),(129,1),(134,1),(182,1),(184,1),(185,1),(187,1),(223,1)}
       160:{1,3,6,7}:{(130,1),(131,1),(134,1),(182,1),(186,1)}
       161:{2,3,5}:{(132,1),(133,1),(177,1),(183,1),(187,1)}
       162:{1,3,4,6}:{(133,1),(134,1),(135,1),(178,1),(184,1),(187,1),(188,1),(220,1),(223,1),(239,1),(240,1)}
       163:{2,6}:{(134,1),(136,1)}
       164:{2,4,7}:{(135,1),(136,1),(188,1),(189,1)}
       165:{3,5,7}:{(137,1),(139,1),(141,1),(190,1)}
       166:{2,5,7}:{(138,1),(140,1),(142,1),(192,1)}
       167:{3,4,6}:{(139,1),(190,1),(193,1),(194,1)}
       168:{2,3,5,6}:{(139,1),(140,1),(145,1),(191,1),(194,1),(195,1),(197,1)}
       169:{1,5,6}:{(140,1),(146,1),(192,1),(201,1)}
       170:{2,3,6,7}:{(141,1),(142,1),(145,1),(191,1),(196,1),(241,1)}
       171:{1,4,6,7}:{(142,1),(146,1),(192,1),(196,1),(225,1)}
       172:{3,5}:{(143,1),(144,1)}
       173:{2,3,4,6}:{(144,1),(145,1),(147,1),(150,1),(194,1),(197,1),(198,1),(209,1),(234,1)}
       174:{1,3,6}:{(145,1),(146,1),(148,1),(199,1)}
       175:{1,3,4,7}:{(147,1),(148,1),(152,1),(198,1),(200,1),(203,1),(225,1),(241,1)}
       176:{2,5,7}:{(148,1),(199,1),(200,1),(229,1)}
       177:{2,5}:{(149,1),(150,1),(201,1)}
       178:{1,4,6}:{(150,1),(151,1),(152,1),(201,1)}
       179:{1,2,6}:{(151,1),(153,1),(163,1),(199,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(164,1),(200,1),(202,1),(203,1)}
       181:{2,4,7}:{(154,1),(155,1),(158,1),(204,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(159,1),(160,1),(204,1),(205,1),(232,1)}
       183:{2,4,5}:{(157,1),(158,1),(161,1),(206,1),(243,1)}
       184:{1,4,6}:{(158,1),(159,1),(204,1),(206,1),(207,1)}
       185:{2,5,6}:{(159,1),(163,1),(205,1),(207,1),(208,1)}
       186:{2,6,7}:{(160,1),(163,1),(205,1)}
       187:{1,3,5}:{(161,1),(162,1),(201,1),(206,1),(208,1),(233,1)}
       188:{2,4,6}:{(162,1),(163,1),(164,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(203,1),(209,1),(232,1)}
       190:{3,4,7}:{(165,1),(167,1),(210,1)}
       191:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(210,1),(211,1)}
       192:{1,5,7}:{(166,1),(169,1),(171,1)}
       193:{3,4,5}:{(167,1),(172,1),(212,1),(240,1)}
       194:{2,4,6}:{(167,1),(168,1),(210,1),(212,1),(213,1)}
       195:{1,3,5,6}:{(168,1),(169,1),(174,1),(211,1),(213,1),(214,1),(216,1),(237,1)}
       196:{1,3,6,7}:{(170,1),(171,1),(174,1),(211,1),(215,1)}
       197:{2,3,5}:{(172,1),(173,1),(177,1),(212,1),(216,1)}
       198:{1,3,4,6}:{(173,1),(174,1),(175,1),(178,1),(213,1),(216,1),(217,1),(220,1),(237,1),(239,1),(244,1)}
       199:{2,6}:{(174,1),(176,1)}
       200:{2,4,7}:{(175,1),(176,1),(217,1),(218,1)}
       201:{1,5}:{(177,1),(178,1)}
       202:{1,2,4,6}:{(178,1),(179,1),(180,1),(188,1),(217,1),(219,1),(220,1),(239,1)}
       203:{1,3,7}:{(180,1),(189,1),(218,1),(220,1)}
       204:{1,4,7}:{(181,1),(182,1),(184,1),(221,1)}
       205:{2,5,7}:{(182,1),(185,1),(186,1),(221,1)}
       206:{1,4,5}:{(183,1),(184,1),(187,1),(222,1),(239,1)}
       207:{2,4,6}:{(184,1),(185,1),(221,1),(222,1),(223,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(220,1),(223,1),(224,1)}
       210:{2,4,7}:{(190,1),(191,1),(194,1),(225,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(195,1),(196,1),(225,1),(226,1),(241,1)}
       212:{2,4,5}:{(193,1),(194,1),(197,1),(227,1),(234,1)}
       213:{1,4,6}:{(194,1),(195,1),(225,1),(227,1),(228,1)}
       214:{2,5,6}:{(195,1),(199,1),(226,1),(228,1),(229,1)}
       215:{2,6,7}:{(196,1),(199,1),(226,1)}
       216:{1,3,5}:{(197,1),(198,1),(201,1),(227,1),(229,1),(242,1)}
       217:{2,4,6}:{(198,1),(199,1),(200,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(203,1),(230,1),(241,1)}
       219:{1,2,5}:{(201,1),(202,1),(208,1),(229,1),(231,1)}
       220:{1,3,6}:{(202,1),(203,1),(209,1),(230,1),(231,1)}
       221:{2,4,7}:{(204,1),(205,1),(207,1),(232,1)}
       222:{2,4,5}:{(206,1),(207,1),(208,1),(233,1),(234,1)}
       223:{3,6}:{(207,1),(232,1),(233,1)}
       224:{2,3,5}:{(208,1),(209,1),(231,1),(233,1),(234,1)}
       225:{1,4,7}:{(210,1),(211,1),(213,1),(235,1)}
       226:{2,5,7}:{(211,1),(214,1),(215,1),(235,1)}
       227:{1,4,5}:{(212,1),(213,1),(216,1),(236,1),(239,1)}
       228:{2,4,6}:{(213,1),(214,1),(235,1),(236,1),(237,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(220,1),(237,1),(238,1)}
       231:{1,3,5}:{(219,1),(220,1),(224,1),(238,1),(239,1)}
       232:{3,7}:{(221,1),(223,1)}
       233:{3,5}:{(222,1),(223,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(225,1),(226,1),(228,1),(241,1)}
       236:{2,4,5}:{(227,1),(228,1),(229,1),(242,1),(243,1)}
       237:{3,6}:{(228,1),(241,1),(242,1)}
       238:{2,3,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       239:{1,4}:{(231,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1775 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(8,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(9,1),(10,1),(85,1),(121,1)}
         5:{2,3,4,5}:{(11,1),(12,1),(59,1),(100,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(13,1)}
         7:{2,5,6,7}:{(2,1),(13,1),(14,1),(115,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(96,1),(115,1)}
         9:{2,3,5,6}:{(4,1),(11,1),(15,1),(17,1)}
        10:{1,4,5,6}:{(4,1),(16,1),(17,1),(18,1),(69,1),(116,1)}
        11:{2,3,4,6}:{(5,1),(9,1),(19,1),(20,1),(73,1),(85,1)}
        12:{1,3,4,5}:{(5,1),(20,1),(21,1),(44,1),(54,1),(86,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(8,1),(22,1),(23,1)}
        14:{1,5,6,7}:{(7,1),(23,1),(24,1),(106,1)}
        15:{2,3,5,7}:{(8,1),(9,1),(19,1),(22,1),(25,1)}
        16:{1,4,5,7}:{(8,1),(10,1),(23,1),(25,1),(26,1),(82,1),(106,1)}
        17:{1,3,5,6}:{(9,1),(10,1),(20,1),(25,1),(27,1),(28,1)}
        18:{2,4,5,6}:{(10,1),(26,1),(27,1),(28,1),(53,1),(80,1),(107,1)}
        19:{2,3,4,7}:{(11,1),(15,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(17,1),(29,1),(30,1),(40,1),(57,1),(69,1)}
        21:{2,4,5}:{(12,1),(30,1),(32,1)}
        22:{2,3,6,7}:{(13,1),(15,1),(33,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(16,1),(33,1),(34,1)}
        24:{2,5,6,7}:{(14,1),(34,1),(35,1),(94,1)}
        25:{1,3,5,7}:{(15,1),(16,1),(17,1),(29,1),(33,1),(36,1),(37,1)}
        26:{2,4,5,7}:{(16,1),(18,1),(34,1),(36,1),(37,1),(64,1),(66,1),(94,1)}
        27:{2,5,6}:{(17,1),(30,1),(36,1)}
        28:{3,5,6}:{(18,1),(37,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(25,1),(41,1),(51,1),(71,1),(82,1)}
        30:{2,4,6}:{(20,1),(21,1),(27,1),(41,1),(43,1)}
        31:{1,2,4,5}:{(21,1),(42,1),(44,1),(76,1),(86,1),(104,1)}
        32:{2,3,5}:{(21,1),(43,1),(44,1),(45,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(25,1),(46,1),(47,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(47,1),(48,1)}
        35:{3,5,6,7}:{(24,1),(47,1),(48,1),(79,1)}
        36:{2,5,7}:{(25,1),(27,1),(41,1),(46,1)}
        37:{3,5,7}:{(26,1),(28,1),(47,1),(51,1)}
        38:{1,2,5,6}:{(27,1),(42,1),(49,1),(52,1),(104,1),(119,1)}
        39:{2,3,5,6}:{(27,1),(28,1),(43,1),(50,1),(52,1),(53,1),(75,1),(103,1),(107,1)}
        40:{3,4,6}:{(28,1),(51,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(36,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(31,1),(38,1),(55,1),(57,1),(69,1),(90,1)}
        43:{2,3,6}:{(30,1),(32,1),(56,1),(57,1)}
        44:{1,3,5}:{(31,1),(32,1),(57,1),(59,1),(60,1)}
        45:{2,3,4}:{(32,1),(60,1)}
        46:{2,6,7}:{(33,1),(36,1)}
        47:{3,6,7}:{(34,1),(37,1)}
        48:{4,6,7}:{(35,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(55,1),(61,1),(65,1),(112,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(56,1),(62,1),(65,1),(66,1),(94,1)}
        51:{3,4,7}:{(37,1),(40,1),(66,1)}
        52:{1,3,5,6}:{(38,1),(39,1),(57,1),(65,1),(68,1),(69,1),(91,1),(113,1),(116,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
        54:{3,4,5}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(49,1),(71,1),(82,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(44,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(45,1),(53,1),(72,1),(74,1),(75,1),(103,1)}
        59:{2,3,5}:{(44,1),(73,1),(76,1),(104,1)}
        60:{1,3,4}:{(44,1),(45,1),(76,1)}
        61:{1,2,6,7}:{(46,1),(49,1),(77,1),(119,1)}
        62:{2,3,6,7}:{(46,1),(47,1),(50,1),(77,1),(78,1),(103,1)}
        63:{3,4,6,7}:{(47,1),(48,1),(51,1),(78,1),(79,1),(84,1)}
        64:{4,5,7}:{(48,1),(79,1),(80,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(71,1),(77,1),(81,1),(82,1),(106,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(79,1),(83,1),(84,1)}
        68:{2,3,5,6}:{(52,1),(73,1),(81,1),(85,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        69:{1,4,6}:{(52,1),(53,1),(82,1),(85,1),(86,1)}
        70:{2,4,5}:{(53,1),(54,1),(75,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(66,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(59,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(60,1),(69,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(70,1),(91,1)}
        76:{2,4}:{(59,1),(60,1)}
        77:{1,3,6,7}:{(61,1),(62,1),(65,1),(92,1),(93,1),(113,1)}
        78:{2,4,6,7}:{(62,1),(63,1),(66,1),(93,1),(94,1),(98,1)}
        79:{3,5,7}:{(63,1),(64,1),(94,1),(95,1)}
        80:{4,5,6}:{(64,1),(95,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        82:{1,4,7}:{(65,1),(66,1),(69,1),(96,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(89,1),(94,1),(97,1),(98,1)}
        84:{3,4,6}:{(67,1),(95,1),(98,1)}
        85:{2,4,6}:{(68,1),(69,1),(96,1),(99,1),(100,1)}
        86:{1,4,5}:{(69,1),(70,1),(91,1),(100,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(82,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(83,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(76,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(86,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(77,1),(81,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(82,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(78,1),(79,1),(106,1),(107,1)}
        95:{3,5,6}:{(79,1),(80,1),(84,1),(107,1)}
        96:{2,4,7}:{(81,1),(82,1),(85,1),(108,1)}
        97:{1,4,5,7}:{(82,1),(83,1),(86,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(83,1),(84,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(85,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(85,1),(86,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1776 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1777 :   0:{1,2,5,6,7}:{(2,1),(3,1),(42,1),(44,1),(84,1),(85,1),(89,1),(118,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(16,1),(18,1),(42,1),(47,1),(118,1),(119,1),(152,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(26,1),(28,1),(63,1),(67,1),(97,1),(107,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(27,1),(103,1),(108,1),(135,1),(141,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(9,1),(10,1),(65,1),(135,1),(138,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(16,1),(36,1),(42,1),(76,1),(89,1),(90,1),(128,1)}
         6:{1,2,4,5,7}:{(3,1),(11,1),(13,1),(14,1),(39,1),(42,1),(82,1),(85,1),(88,1),(117,1),(120,1),(122,1),(127,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(12,1),(14,1),(87,1),(116,1),(127,1)}
         8:{1,3,6,7}:{(3,1),(13,1),(16,1),(121,1),(128,1),(152,1)}
         9:{2,4,5,7}:{(4,1),(14,1),(17,1),(18,1),(42,1)}
        10:{3,4,6,7}:{(4,1),(18,1),(45,1),(152,1),(153,1)}
        11:{1,2,4,5,6}:{(6,1),(20,1),(25,1),(51,1),(62,1),(93,1),(103,1),(106,1),(108,1),(131,1),(132,1),(135,1),(141,1),(145,1),(147,1),(165,1),(174,1)}
        12:{2,4,6,7}:{(5,1),(7,1),(21,1),(22,1),(95,1),(108,1),(111,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(20,1),(23,1),(24,1),(109,1),(136,1),(140,1)}
        14:{1,4,5,7}:{(7,1),(9,1),(21,1),(25,1),(26,1),(63,1)}
        15:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(22,1),(23,1),(26,1),(27,1),(58,1)}
        16:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(100,1),(141,1)}
        17:{2,4,5,6}:{(9,1),(25,1),(30,1),(62,1),(65,1),(135,1),(165,1)}
        18:{3,5,7}:{(9,1),(10,1),(30,1)}
        19:{2,3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(57,1),(65,1),(99,1),(100,1),(138,1),(164,1),(168,1)}
        20:{1,3,5,6}:{(11,1),(13,1),(33,1),(34,1),(112,1),(121,1),(128,1),(149,1),(152,1),(161,1),(171,1)}
        21:{2,4,5,7}:{(12,1),(14,1),(35,1),(36,1),(42,1)}
        22:{3,4,6,7}:{(12,1),(36,1),(74,1),(128,1),(129,1)}
        23:{1,3,4,7}:{(13,1),(33,1),(39,1),(127,1),(129,1),(153,1)}
        24:{2,3,5,7}:{(13,1),(16,1),(34,1),(39,1),(40,1),(42,1),(122,1),(123,1)}
        25:{1,4,5,6}:{(14,1),(17,1),(35,1),(41,1),(84,1),(87,1),(116,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(18,1),(36,1),(41,1),(42,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(39,1),(42,1),(43,1),(81,1)}
        28:{1,3,6,7}:{(16,1),(40,1),(43,1),(44,1),(121,1)}
        29:{3,4,5,7}:{(18,1),(45,1),(46,1),(153,1),(171,1)}
        30:{3,5,6}:{(17,1),(18,1),(45,1),(152,1),(171,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(42,1),(46,1),(47,1),(48,1),(171,1),(173,1)}
        32:{1,3,4,6,7}:{(19,1),(43,1),(48,1),(49,1),(80,1),(86,1),(87,1),(121,1),(127,1),(128,1),(129,1),(159,1),(172,1)}
        33:{1,3,4,6}:{(20,1),(23,1),(50,1),(51,1),(145,1),(146,1),(164,1)}
        34:{2,3,5,6}:{(20,1),(24,1),(51,1),(52,1),(62,1),(91,1),(100,1),(132,1),(133,1),(141,1)}
        35:{2,4,5,6}:{(21,1),(25,1),(54,1),(62,1),(95,1),(108,1),(147,1)}
        36:{3,5,7}:{(21,1),(22,1),(54,1)}
        37:{2,3,4,6,7}:{(22,1),(27,1),(55,1),(56,1),(57,1),(69,1),(95,1),(100,1),(111,1),(146,1),(168,1)}
        38:{1,3,4,5,7}:{(23,1),(26,1),(29,1),(50,1),(53,1),(58,1),(59,1),(66,1),(96,1),(101,1),(109,1),(136,1),(144,1),(169,1)}
        39:{2,4,7}:{(23,1),(24,1),(51,1),(60,1)}
        40:{1,3,5,7}:{(24,1),(28,1),(52,1),(60,1),(61,1),(63,1),(105,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(30,1),(54,1),(58,1),(62,1),(169,1)}
        42:{2,5,7}:{(26,1),(27,1),(62,1),(63,1)}
        43:{1,4,6,7}:{(27,1),(28,1),(60,1),(63,1),(103,1)}
        44:{1,2,6,7}:{(28,1),(61,1),(141,1)}
        45:{3,4,6}:{(29,1),(30,1),(65,1)}
        46:{2,4,5,7}:{(29,1),(31,1),(65,1),(66,1),(138,1),(165,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(62,1),(65,1),(67,1),(100,1)}
        48:{1,3,5,7}:{(31,1),(32,1),(63,1),(66,1),(67,1),(68,1),(109,1),(169,1),(174,1)}
        49:{2,4,6,7}:{(32,1),(68,1),(69,1),(102,1),(108,1),(111,1),(141,1),(168,1)}
        50:{1,3,4,5}:{(33,1),(71,1),(112,1),(151,1),(160,1),(161,1),(171,1)}
        51:{2,4,6}:{(33,1),(34,1),(39,1),(71,1),(72,1)}
        52:{1,3,5,6}:{(34,1),(40,1),(72,1),(73,1),(84,1),(112,1),(115,1),(121,1)}
        53:{3,4,5,7}:{(36,1),(74,1),(75,1),(129,1),(161,1)}
        54:{3,5,6}:{(35,1),(36,1),(74,1),(128,1),(161,1)}
        55:{2,3,5,7}:{(36,1),(37,1),(42,1),(75,1),(76,1),(77,1),(161,1),(173,1)}
        56:{1,3,4,6,7}:{(37,1),(43,1),(77,1),(78,1),(80,1),(86,1),(116,1),(121,1),(127,1),(152,1),(153,1),(159,1),(172,1)}
        57:{2,3,4,7}:{(39,1),(70,1),(79,1),(80,1),(123,1),(129,1),(153,1),(158,1)}
        58:{1,3,4,6}:{(38,1),(41,1),(45,1),(74,1),(81,1),(87,1),(116,1),(121,1),(128,1),(152,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(42,1),(71,1),(79,1),(81,1),(82,1),(122,1),(158,1),(173,1)}
        60:{1,4,7}:{(39,1),(40,1),(72,1)}
        61:{1,2,5,7}:{(40,1),(44,1),(73,1),(83,1),(122,1)}
        62:{2,5,6}:{(41,1),(42,1),(81,1),(84,1),(173,1)}
        63:{1,5,7}:{(42,1),(43,1),(84,1)}
        64:{1,2,4,6,7}:{(43,1),(44,1),(49,1),(78,1),(83,1),(85,1),(86,1),(120,1),(124,1),(127,1),(155,1),(172,1)}
        65:{2,4,6}:{(45,1),(46,1),(47,1),(87,1)}
        66:{1,4,5,7}:{(46,1),(48,1),(87,1),(88,1),(127,1),(160,1)}
        67:{1,3,5,6}:{(47,1),(48,1),(84,1),(87,1),(89,1),(121,1),(128,1)}
        68:{2,5,7}:{(48,1),(49,1),(89,1),(173,1)}
        69:{2,3,6,7}:{(49,1),(86,1),(90,1),(123,1),(128,1),(157,1)}
        70:{2,3,4,6}:{(51,1),(57,1),(91,1),(92,1),(100,1),(133,1),(146,1),(163,1),(164,1),(168,1)}
        71:{2,4,5}:{(50,1),(51,1),(91,1),(93,1),(132,1),(163,1)}
        72:{1,4,6}:{(51,1),(52,1),(60,1),(93,1)}
        73:{1,2,5,6}:{(52,1),(61,1),(94,1),(132,1),(141,1)}
        74:{3,4,6}:{(53,1),(54,1),(95,1)}
        75:{2,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(111,1),(147,1)}
        76:{2,3,5,6}:{(54,1),(55,1),(62,1),(95,1),(97,1),(100,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(63,1),(96,1),(97,1),(98,1),(136,1),(169,1),(174,1)}
        78:{2,4,6,7}:{(56,1),(98,1),(99,1),(102,1),(135,1),(138,1),(141,1),(168,1)}
        79:{2,3,5,7}:{(57,1),(59,1),(91,1),(100,1),(101,1),(109,1),(136,1)}
        80:{1,3,4,7}:{(57,1),(60,1),(92,1),(101,1),(102,1),(105,1),(140,1),(167,1)}
        81:{2,4,6}:{(58,1),(59,1),(62,1),(100,1),(103,1),(141,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(63,1),(93,1),(101,1),(103,1),(167,1),(174,1)}
        83:{1,2,4,7}:{(60,1),(61,1),(94,1),(102,1),(105,1)}
        84:{1,5,6}:{(62,1),(63,1),(103,1),(174,1)}
        85:{1,2,5,7}:{(63,1),(64,1),(68,1),(98,1),(106,1),(107,1),(174,1)}
        86:{1,3,6,7}:{(64,1),(69,1),(99,1),(105,1),(107,1),(140,1),(143,1),(166,1)}
        87:{1,4,6}:{(65,1),(66,1),(67,1),(108,1)}
        88:{2,4,5,7}:{(66,1),(68,1),(108,1),(109,1),(111,1),(147,1)}
        89:{2,5,6}:{(67,1),(68,1),(108,1),(141,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1),(111,1)}
        91:{2,3,5}:{(70,1),(71,1),(112,1),(161,1),(171,1),(173,1)}
        92:{1,3,4,6}:{(70,1),(72,1),(80,1),(112,1),(113,1),(115,1),(121,1),(149,1),(151,1),(170,1),(172,1)}
        93:{1,4,5}:{(71,1),(72,1),(112,1),(170,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(83,1),(113,1),(114,1),(115,1)}
        95:{2,4,6}:{(74,1),(75,1),(76,1),(116,1)}
        96:{1,4,5,7}:{(75,1),(77,1),(116,1),(117,1),(127,1),(160,1)}
        97:{1,3,5,6}:{(76,1),(77,1),(84,1),(116,1),(118,1),(121,1),(152,1)}
        98:{2,5,7}:{(77,1),(78,1),(118,1),(173,1)}
        99:{2,3,6,7}:{(78,1),(86,1),(119,1),(123,1),(152,1),(157,1)}
       100:{2,3,6}:{(79,1),(81,1),(121,1),(128,1),(152,1)}
       101:{1,3,5,7}:{(79,1),(80,1),(82,1),(112,1),(121,1),(122,1)}
       102:{2,4,7}:{(80,1),(113,1),(122,1),(123,1)}
       103:{1,4,6}:{(81,1),(82,1),(84,1),(121,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(88,1),(114,1),(117,1),(122,1),(124,1),(125,1),(127,1),(158,1),(160,1),(173,1)}
       105:{1,3,7}:{(83,1),(115,1),(123,1)}
       106:{1,2,5,6}:{(84,1),(85,1),(89,1),(118,1),(124,1),(126,1),(155,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(90,1),(119,1),(126,1),(127,1)}
       108:{2,4,6}:{(87,1),(88,1),(89,1),(128,1)}
       109:{3,5,7}:{(88,1),(128,1),(129,1),(161,1)}
       110:{2,3,5,6}:{(89,1),(90,1),(126,1),(128,1),(130,1),(157,1),(161,1),(173,1)}
       111:{2,4,7}:{(90,1),(127,1),(129,1),(130,1)}
       112:{1,3,5}:{(91,1),(92,1),(93,1),(132,1),(174,1)}
       113:{2,4,6}:{(92,1),(102,1),(132,1),(133,1),(141,1),(163,1)}
       114:{1,2,4,5}:{(93,1),(94,1),(132,1),(134,1),(163,1)}
       115:{1,3,6}:{(94,1),(105,1),(133,1),(134,1)}
       116:{1,4,6}:{(95,1),(96,1),(97,1),(135,1)}
       117:{2,4,5,7}:{(96,1),(98,1),(135,1),(136,1),(138,1),(165,1)}
       118:{2,5,6}:{(97,1),(98,1),(135,1),(141,1)}
       119:{2,3,5,7}:{(98,1),(99,1),(107,1),(136,1),(137,1),(138,1)}
       120:{1,2,4,7}:{(102,1),(131,1),(139,1),(140,1),(167,1)}
       121:{1,3,6}:{(100,1),(101,1),(103,1),(141,1)}
       122:{2,5,7}:{(101,1),(102,1),(132,1),(141,1)}
       123:{2,3,7}:{(102,1),(105,1),(133,1),(140,1)}
       124:{1,2,4,6}:{(103,1),(104,1),(106,1),(108,1),(135,1),(141,1),(143,1),(145,1),(168,1)}
       125:{1,3,5,7}:{(104,1),(105,1),(109,1),(134,1),(136,1),(142,1),(143,1),(144,1),(169,1)}
       126:{1,3,5,6}:{(106,1),(107,1),(110,1),(137,1),(143,1),(145,1),(166,1),(169,1),(174,1)}
       127:{1,4,7}:{(107,1),(111,1),(138,1),(145,1)}
       128:{3,6}:{(108,1),(109,1)}
       129:{3,4,7}:{(109,1),(111,1),(146,1)}
       130:{2,4,6}:{(110,1),(111,1),(145,1),(146,1),(147,1)}
       131:{1,2,4,6}:{(113,1),(120,1),(148,1),(149,1),(155,1),(170,1),(172,1)}
       132:{2,5}:{(112,1),(113,1)}
       133:{2,3,6}:{(113,1),(115,1),(123,1),(149,1),(150,1)}
       134:{1,3,5}:{(114,1),(115,1),(150,1),(151,1)}
       135:{2,4,6}:{(116,1),(117,1),(118,1),(152,1)}
       136:{3,5,7}:{(117,1),(152,1),(153,1),(171,1)}
       137:{2,3,5,6}:{(118,1),(119,1),(126,1),(152,1),(154,1),(157,1),(171,1),(173,1)}
       138:{2,4,7}:{(119,1),(127,1),(153,1),(154,1)}
       139:{1,2,5,7}:{(120,1),(122,1),(148,1),(155,1),(156,1)}
       140:{1,3,7}:{(120,1),(123,1),(149,1)}
       141:{2,6}:{(121,1),(122,1)}
       142:{2,3,5,7}:{(122,1),(123,1),(125,1),(150,1),(156,1),(157,1),(158,1),(173,1)}
       143:{1,3,6}:{(124,1),(125,1),(128,1),(152,1),(157,1)}
       144:{1,3,4,7}:{(125,1),(127,1),(129,1),(151,1),(153,1),(158,1),(159,1)}
       145:{1,4,6}:{(126,1),(127,1),(130,1),(154,1),(160,1)}
       146:{3,4,6}:{(128,1),(129,1),(130,1),(161,1)}
       147:{2,4,5}:{(130,1),(160,1),(161,1),(173,1)}
       148:{1,2,5}:{(131,1),(132,1),(162,1),(174,1)}
       149:{1,3,6}:{(131,1),(133,1),(140,1),(162,1)}
       150:{2,3,5}:{(132,1),(133,1),(134,1),(162,1),(163,1)}
       151:{1,3,4}:{(134,1),(163,1)}
       152:{3,6}:{(135,1),(136,1)}
       153:{3,4,7}:{(136,1),(138,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(145,1),(164,1),(165,1)}
       155:{1,2,6}:{(139,1),(141,1),(166,1)}
       156:{1,3,5,7}:{(139,1),(140,1),(142,1),(162,1),(166,1),(167,1),(174,1)}
       157:{2,3,6}:{(141,1),(142,1),(143,1),(166,1),(168,1)}
       158:{2,4,7}:{(142,1),(144,1),(163,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(143,1),(144,1),(145,1),(146,1),(164,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(147,1),(165,1),(169,1),(174,1)}
       161:{3,5}:{(146,1),(147,1)}
       162:{1,3,5}:{(148,1),(149,1),(150,1),(170,1)}
       163:{2,4}:{(150,1),(151,1),(170,1)}
       164:{3,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,4,5}:{(154,1),(160,1),(171,1),(173,1)}
       166:{1,3,6}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,4,7}:{(156,1),(158,1),(170,1),(172,1)}
       168:{2,4,6}:{(157,1),(158,1),(159,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(161,1),(171,1),(173,1)}
       170:{1,4}:{(162,1),(163,1)}
       171:{3,5}:{(164,1),(165,1)}
       172:{1,4,6}:{(166,1),(167,1),(168,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1778 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(6,1),(7,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(76,1),(122,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(53,1),(93,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1)}
         5:{4,5,6,7}:{(13,1),(123,1)}
         6:{3,4,6,7}:{(1,1),(13,1),(14,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(92,1),(116,1)}
         8:{1,4,5,6}:{(2,1),(12,1),(15,1),(16,1),(62,1),(118,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(69,1),(76,1)}
        10:{1,3,4,5}:{(3,1),(18,1),(19,1),(40,1),(52,1),(79,1)}
        11:{2,3,5,7}:{(4,1),(7,1),(17,1),(20,1),(21,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(18,1),(21,1),(22,1),(26,1)}
        13:{3,5,6,7}:{(5,1),(6,1),(23,1),(120,1)}
        14:{2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1),(78,1),(108,1)}
        16:{2,4,5,6}:{(8,1),(22,1),(25,1),(26,1),(48,1),(110,1),(111,1)}
        17:{2,3,4,7}:{(9,1),(11,1),(28,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(12,1),(28,1),(29,1),(38,1),(55,1),(62,1)}
        19:{2,4,5}:{(10,1),(29,1),(30,1)}
        20:{2,3,6,7}:{(11,1),(14,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(15,1),(28,1),(32,1),(33,1),(37,1)}
        22:{2,5,6}:{(12,1),(29,1),(33,1)}
        23:{2,5,6,7}:{(13,1),(14,1),(35,1),(116,1)}
        24:{1,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(36,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(33,1),(36,1),(37,1),(64,1),(96,1),(98,1)}
        26:{3,5,6}:{(16,1),(37,1),(38,1)}
        27:{1,2,4,5}:{(19,1),(39,1),(40,1),(70,1),(79,1),(101,1)}
        28:{1,3,4,7}:{(17,1),(18,1),(21,1),(41,1),(51,1),(71,1),(78,1)}
        29:{2,4,6}:{(18,1),(19,1),(22,1),(41,1),(42,1)}
        30:{2,3,5}:{(19,1),(40,1),(42,1),(43,1)}
        31:{1,2,5,6}:{(22,1),(39,1),(44,1),(45,1),(101,1),(119,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(24,1),(46,1),(50,1)}
        33:{2,5,7}:{(21,1),(22,1),(41,1),(46,1)}
        34:{2,3,5,6}:{(22,1),(26,1),(42,1),(45,1),(47,1),(48,1),(74,1),(103,1),(110,1)}
        35:{1,5,6,7}:{(23,1),(24,1),(49,1),(108,1)}
        36:{2,4,6,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(82,1)}
        37:{3,5,7}:{(25,1),(26,1),(50,1),(51,1)}
        38:{3,4,6}:{(26,1),(48,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(31,1),(54,1),(55,1),(62,1),(86,1)}
        40:{1,3,5}:{(27,1),(30,1),(53,1),(55,1),(56,1)}
        41:{2,4,7}:{(28,1),(29,1),(33,1),(57,1)}
        42:{2,3,6}:{(29,1),(30,1),(55,1),(57,1)}
        43:{2,3,4}:{(30,1),(56,1)}
        44:{1,2,5,7}:{(31,1),(33,1),(54,1),(60,1),(61,1),(112,1)}
        45:{1,3,5,6}:{(31,1),(34,1),(55,1),(59,1),(61,1),(62,1),(88,1),(113,1),(118,1)}
        46:{2,6,7}:{(32,1),(33,1)}
        47:{2,3,5,7}:{(33,1),(34,1),(37,1),(57,1),(61,1),(63,1),(64,1),(96,1)}
        48:{2,4,6}:{(34,1),(38,1),(62,1),(64,1),(65,1)}
        49:{2,5,6,7}:{(35,1),(36,1),(66,1),(96,1)}
        50:{3,6,7}:{(36,1),(37,1)}
        51:{3,4,7}:{(37,1),(38,1),(64,1)}
        52:{3,4,5}:{(38,1),(65,1)}
        53:{2,3,5}:{(40,1),(69,1),(70,1),(101,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(44,1),(71,1),(78,1),(100,1)}
        55:{1,3,6}:{(39,1),(40,1),(42,1),(69,1),(71,1)}
        56:{1,3,4}:{(40,1),(43,1),(70,1)}
        57:{2,3,7}:{(41,1),(42,1),(71,1)}
        58:{2,3,4,6}:{(42,1),(43,1),(48,1),(72,1),(73,1),(74,1),(103,1)}
        59:{2,3,5,6}:{(45,1),(69,1),(75,1),(76,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        60:{1,2,6,7}:{(44,1),(46,1),(77,1),(119,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(71,1),(75,1),(77,1),(78,1),(108,1)}
        62:{1,4,6}:{(45,1),(48,1),(76,1),(78,1),(79,1)}
        63:{2,3,6,7}:{(46,1),(47,1),(50,1),(77,1),(80,1),(103,1)}
        64:{2,4,7}:{(47,1),(48,1),(51,1),(78,1)}
        65:{2,4,5}:{(48,1),(52,1),(74,1),(79,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(50,1),(51,1),(80,1),(82,1),(83,1),(84,1)}
        68:{3,4,5,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        69:{2,3,6}:{(53,1),(55,1),(85,1),(86,1)}
        70:{2,4}:{(53,1),(56,1)}
        71:{1,3,7}:{(54,1),(55,1),(57,1),(85,1)}
        72:{1,3,4,6}:{(55,1),(56,1),(58,1),(62,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        73:{2,3,4,7}:{(57,1),(58,1),(64,1),(87,1),(89,1)}
        74:{2,3,5}:{(58,1),(65,1),(88,1)}
        75:{2,3,5,7}:{(59,1),(61,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        76:{2,4,6}:{(59,1),(62,1),(90,1),(92,1),(93,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(63,1),(91,1),(94,1),(113,1)}
        78:{1,4,7}:{(61,1),(62,1),(64,1),(92,1)}
        79:{1,4,5}:{(62,1),(65,1),(88,1),(93,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(67,1),(94,1),(96,1),(97,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(95,1),(96,1),(97,1)}
        82:{4,6,7}:{(66,1),(98,1)}
        83:{3,5,7}:{(67,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(68,1),(97,1),(99,1)}
        85:{2,3,7}:{(69,1),(71,1),(100,1)}
        86:{2,4,6}:{(69,1),(70,1),(72,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(71,1),(72,1),(73,1),(78,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(72,1),(74,1),(79,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(73,1),(74,1),(81,1),(102,1),(103,1)}
        90:{3,4,6}:{(76,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(75,1),(77,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        93:{2,4,5}:{(76,1),(79,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(80,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(78,1),(79,1),(81,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(80,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(84,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(82,1),(83,1),(111,1)}
        99:{3,5,6}:{(83,1),(84,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1779 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(50,1),(51,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(24,1),(34,1),(56,1),(109,1),(118,1),(120,1),(160,1),(166,1),(176,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(23,1),(32,1),(33,1),(73,1),(74,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(42,1),(52,1),(86,1),(89,1),(91,1),(140,1),(146,1),(147,1),(190,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(184,1),(189,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(50,1),(152,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(41,1),(50,1),(99,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(42,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(43,1)}
        10:{2,3,4,6,7}:{(20,1),(21,1),(25,1),(55,1),(66,1),(105,1),(117,1),(158,1),(161,1),(163,1),(166,1),(241,1)}
        11:{2,3,5,6}:{(5,1),(23,1),(24,1),(30,1),(70,1),(118,1)}
        12:{2,4,6,7}:{(4,1),(25,1),(26,1),(64,1),(66,1),(166,1),(172,1),(173,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(67,1),(73,1),(165,1),(209,1)}
        14:{2,4,5,7}:{(5,1),(24,1),(27,1),(28,1),(109,1),(159,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(29,1),(30,1),(70,1),(159,1),(175,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(73,1),(125,1)}
        17:{3,5,7}:{(6,1),(9,1),(30,1),(176,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(31,1),(33,1),(64,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(65,1),(71,1),(74,1),(125,1),(176,1)}
        20:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(39,1),(79,1),(86,1),(134,1),(136,1),(140,1),(183,1),(186,1),(187,1),(190,1)}
        21:{2,3,5,7}:{(10,1),(35,1),(37,1),(38,1),(128,1),(144,1),(178,1),(189,1)}
        22:{1,2,4,6,7}:{(12,1),(36,1),(39,1),(40,1),(52,1),(85,1),(86,1),(99,1),(152,1),(183,1),(190,1),(191,1),(192,1),(220,1),(236,1)}
        23:{1,3,5,6}:{(11,1),(13,1),(41,1),(42,1),(89,1),(96,1),(146,1)}
        24:{2,4,6}:{(11,1),(14,1),(42,1),(43,1)}
        25:{2,3,6,7}:{(12,1),(39,1),(44,1),(89,1),(141,1),(195,1),(220,1)}
        26:{2,5,7}:{(12,1),(13,1),(41,1),(189,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(86,1),(139,1)}
        28:{3,4,5,7}:{(14,1),(17,1),(43,1),(136,1),(184,1)}
        29:{1,4,5,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(96,1),(139,1),(150,1)}
        30:{3,5,6}:{(15,1),(17,1),(43,1),(184,1),(197,1)}
        31:{2,4,5,7}:{(16,1),(18,1),(47,1),(49,1),(50,1),(97,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        33:{3,6,7}:{(18,1),(49,1),(89,1)}
        34:{2,4,6,7}:{(19,1),(50,1),(51,1),(52,1),(90,1),(97,1),(99,1),(152,1)}
        35:{2,3,5,6}:{(21,1),(54,1),(55,1),(102,1),(156,1),(161,1)}
        36:{2,4,6,7}:{(20,1),(56,1),(57,1),(107,1),(109,1),(166,1),(207,1),(208,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(54,1),(57,1),(58,1),(110,1),(165,1),(200,1),(209,1)}
        38:{2,4,5,7}:{(21,1),(55,1),(58,1),(59,1),(66,1),(116,1)}
        39:{1,3,6,7}:{(22,1),(25,1),(56,1),(61,1),(113,1),(167,1),(176,1),(211,1),(241,1)}
        40:{1,2,5,7}:{(22,1),(26,1),(57,1),(60,1),(61,1),(73,1),(126,1),(200,1),(209,1),(229,1)}
        41:{2,5,6}:{(23,1),(26,1),(64,1),(172,1)}
        42:{1,4,6}:{(23,1),(24,1),(27,1),(64,1)}
        43:{3,4,6}:{(24,1),(28,1),(30,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(63,1),(66,1),(67,1),(229,1),(241,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(64,1),(66,1),(67,1),(116,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(65,1),(67,1),(68,1),(71,1),(114,1),(121,1),(122,1),(125,1),(165,1),(174,1),(176,1),(214,1)}
        47:{2,4,5,6}:{(29,1),(31,1),(64,1),(69,1),(70,1),(116,1),(123,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(32,1),(65,1),(69,1),(70,1),(165,1)}
        49:{3,5,7}:{(31,1),(33,1),(69,1),(71,1)}
        50:{2,5,7}:{(32,1),(34,1),(70,1),(73,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(72,1),(74,1),(118,1),(176,1)}
        52:{1,4,6,7}:{(34,1),(73,1),(74,1),(119,1),(125,1)}
        53:{2,3,5,6,7}:{(35,1),(76,1),(77,1),(128,1),(178,1),(182,1)}
        54:{1,3,5,6}:{(35,1),(37,1),(78,1),(79,1),(134,1),(181,1),(186,1)}
        55:{2,4,6}:{(35,1),(38,1),(79,1),(80,1)}
        56:{2,3,6,7}:{(36,1),(39,1),(81,1),(99,1),(134,1),(141,1),(223,1)}
        57:{2,5,7}:{(36,1),(37,1),(78,1),(189,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(79,1),(82,1),(86,1),(139,1)}
        59:{3,4,5,7}:{(38,1),(80,1),(91,1),(128,1),(144,1)}
        60:{1,2,5,6}:{(40,1),(41,1),(78,1),(84,1),(85,1),(96,1),(151,1),(181,1),(189,1),(191,1),(219,1),(224,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(81,1),(84,1),(86,1)}
        62:{1,2,4,5,7}:{(40,1),(45,1),(82,1),(85,1),(86,1),(87,1),(93,1),(138,1),(139,1),(142,1),(148,1),(152,1),(188,1),(189,1),(192,1),(196,1),(224,1),(236,1),(237,1),(240,1)}
        63:{2,3,5,6}:{(41,1),(44,1),(84,1),(88,1),(89,1),(141,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(41,1),(42,1),(45,1),(89,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(46,1),(48,1),(89,1),(90,1),(94,1),(146,1),(150,1),(197,1)}
        66:{2,4,7}:{(44,1),(86,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(89,1),(91,1),(144,1)}
        68:{2,4,5,7}:{(46,1),(50,1),(90,1),(92,1),(93,1),(97,1),(142,1),(148,1),(149,1),(152,1),(189,1),(196,1)}
        69:{3,5,6}:{(47,1),(49,1),(89,1),(94,1),(144,1)}
        70:{2,5,6}:{(48,1),(50,1),(90,1),(96,1),(189,1)}
        71:{3,4,7}:{(49,1),(94,1),(97,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(51,1),(95,1),(97,1),(98,1)}
        73:{1,5,7}:{(50,1),(52,1),(96,1)}
        74:{1,3,6,7}:{(51,1),(52,1),(98,1),(99,1),(146,1)}
        75:{2,4,5,6}:{(55,1),(100,1),(101,1),(102,1),(116,1),(156,1),(231,1)}
        76:{1,3,5,6,7}:{(53,1),(54,1),(103,1),(104,1),(154,1),(157,1),(200,1),(204,1)}
        77:{2,4,6,7}:{(53,1),(55,1),(100,1),(104,1),(105,1)}
        78:{2,5,6}:{(54,1),(57,1),(107,1),(207,1)}
        79:{1,4,6}:{(54,1),(55,1),(58,1),(107,1)}
        80:{3,4,6}:{(55,1),(59,1),(102,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(109,1),(110,1),(126,1),(176,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(107,1),(109,1),(110,1),(159,1)}
        83:{1,3,4,5,7}:{(58,1),(59,1),(108,1),(110,1),(111,1),(114,1),(154,1),(164,1),(165,1),(198,1),(201,1),(228,1),(230,1),(241,1),(242,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(63,1),(106,1),(112,1),(113,1),(165,1),(167,1),(209,1),(234,1)}
        85:{1,2,4,6}:{(60,1),(62,1),(64,1),(107,1),(112,1),(113,1),(119,1),(162,1),(166,1),(172,1),(175,1),(207,1),(231,1)}
        86:{1,4,7}:{(61,1),(66,1),(109,1),(112,1)}
        87:{1,3,5,7}:{(62,1),(67,1),(110,1),(113,1),(114,1),(115,1),(165,1),(176,1),(211,1),(214,1),(234,1),(241,1),(242,1)}
        88:{2,4,6}:{(63,1),(66,1),(112,1),(116,1),(117,1),(243,1)}
        89:{3,6}:{(64,1),(67,1)}
        90:{2,4,6}:{(65,1),(68,1),(70,1),(118,1),(119,1),(172,1)}
        91:{3,4,7}:{(66,1),(67,1),(117,1),(241,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(118,1),(120,1),(121,1),(170,1),(176,1),(214,1)}
        93:{1,4,5,7}:{(68,1),(73,1),(119,1),(121,1),(125,1),(168,1),(174,1),(209,1)}
        94:{3,4,6}:{(69,1),(71,1),(122,1),(123,1)}
        95:{2,3,5,6}:{(69,1),(70,1),(72,1),(118,1),(123,1),(124,1),(170,1)}
        96:{1,5,6}:{(70,1),(73,1),(119,1),(209,1)}
        97:{2,4,7}:{(71,1),(72,1),(123,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(124,1),(125,1),(126,1),(176,1)}
        99:{2,6,7}:{(74,1),(126,1),(172,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(127,1),(128,1),(178,1),(236,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(127,1),(129,1),(130,1),(139,1),(181,1),(218,1)}
       102:{3,5,6}:{(75,1),(80,1),(128,1),(144,1),(238,1)}
       103:{2,5,6,7}:{(76,1),(78,1),(131,1),(178,1),(220,1)}
       104:{1,4,6,7}:{(76,1),(77,1),(79,1),(127,1),(131,1)}
       105:{3,4,6,7}:{(77,1),(80,1),(128,1)}
       106:{2,3,5,6}:{(78,1),(81,1),(84,1),(133,1),(134,1),(141,1),(151,1),(184,1),(189,1),(197,1),(226,1)}
       107:{2,4,6}:{(78,1),(79,1),(82,1),(134,1)}
       108:{1,3,4,6}:{(79,1),(80,1),(83,1),(130,1),(134,1),(135,1),(179,1),(186,1),(218,1),(238,1)}
       109:{2,4,7}:{(81,1),(86,1),(133,1),(136,1)}
       110:{3,5,7}:{(82,1),(134,1),(136,1),(184,1)}
       111:{2,4,5,7}:{(83,1),(135,1),(137,1),(138,1),(142,1),(178,1),(188,1),(189,1),(215,1),(217,1),(236,1),(237,1)}
       112:{1,4,6}:{(84,1),(86,1),(88,1),(133,1),(139,1),(240,1)}
       113:{1,3,6}:{(85,1),(87,1),(89,1),(134,1),(141,1),(197,1),(238,1)}
       114:{1,3,4,7}:{(86,1),(87,1),(91,1),(136,1),(140,1),(142,1),(227,1),(240,1),(244,1)}
       115:{2,3,5,7}:{(87,1),(141,1),(142,1),(143,1),(148,1),(188,1),(189,1),(195,1),(223,1),(226,1),(239,1)}
       116:{2,4,5}:{(88,1),(139,1),(144,1),(189,1)}
       117:{3,4,6}:{(88,1),(89,1),(91,1),(144,1),(238,1),(244,1)}
       118:{2,3,6}:{(89,1),(90,1),(92,1),(146,1),(197,1)}
       119:{1,4,6}:{(90,1),(93,1),(96,1),(146,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(97,1),(142,1),(145,1),(147,1),(223,1),(227,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(146,1),(147,1),(148,1),(193,1)}
       122:{3,4,5}:{(94,1),(144,1),(149,1),(244,1)}
       123:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(150,1)}
       124:{1,3,5,6}:{(95,1),(96,1),(98,1),(146,1),(150,1),(151,1),(193,1),(197,1)}
       125:{1,4,7}:{(97,1),(98,1),(150,1),(152,1)}
       126:{2,5,7}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,4,5,7}:{(100,1),(101,1),(104,1),(153,1),(154,1),(200,1),(228,1)}
       128:{3,5,7}:{(100,1),(102,1),(105,1),(241,1)}
       129:{2,4,5,6}:{(101,1),(107,1),(153,1),(155,1),(156,1),(159,1),(202,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(108,1),(154,1),(155,1),(156,1),(165,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(107,1),(153,1),(157,1)}
       132:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(154,1),(157,1),(158,1),(198,1),(204,1),(228,1),(241,1)}
       133:{2,4,6}:{(106,1),(109,1),(112,1),(159,1),(160,1),(235,1)}
       134:{3,6}:{(107,1),(110,1)}
       135:{2,4,6}:{(108,1),(111,1),(156,1),(161,1),(162,1),(207,1)}
       136:{3,4,7}:{(109,1),(110,1),(160,1),(176,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(161,1),(163,1),(164,1),(205,1),(241,1),(242,1)}
       138:{1,4,5,7}:{(111,1),(162,1),(164,1),(168,1),(200,1),(209,1),(228,1),(230,1)}
       139:{1,4,5}:{(112,1),(116,1),(159,1),(165,1),(209,1)}
       140:{1,3,4,6}:{(112,1),(113,1),(114,1),(117,1),(160,1),(165,1),(166,1)}
       141:{2,3,6}:{(113,1),(115,1),(166,1),(167,1),(172,1),(207,1)}
       142:{2,4,7}:{(114,1),(115,1),(166,1),(168,1),(235,1),(243,1)}
       143:{1,3,5,7}:{(115,1),(167,1),(168,1),(169,1),(209,1),(211,1),(234,1)}
       144:{3,5}:{(116,1),(117,1)}
       145:{2,3,4,6}:{(117,1),(118,1),(120,1),(123,1),(166,1),(170,1),(171,1),(233,1),(243,1)}
       146:{1,3,6}:{(118,1),(119,1),(121,1),(172,1)}
       147:{1,3,4,7}:{(120,1),(121,1),(125,1),(168,1),(171,1),(173,1),(176,1),(211,1)}
       148:{2,5,7}:{(121,1),(172,1),(173,1),(212,1)}
       149:{2,4,5}:{(122,1),(123,1),(170,1),(174,1),(243,1)}
       150:{1,4,6}:{(123,1),(124,1),(125,1),(174,1),(175,1)}
       151:{2,5,6}:{(124,1),(126,1),(172,1),(175,1),(212,1)}
       152:{2,4,7}:{(125,1),(126,1),(175,1),(176,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(131,1),(177,1),(178,1),(215,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(130,1),(132,1),(177,1),(178,1)}
       155:{3,5,6}:{(129,1),(134,1),(177,1),(179,1),(184,1)}
       156:{2,5,6}:{(130,1),(135,1),(178,1),(181,1),(189,1)}
       157:{3,6,7}:{(131,1),(134,1),(177,1)}
       158:{2,4,6,7}:{(132,1),(135,1),(178,1),(182,1),(183,1),(215,1),(220,1),(236,1)}
       159:{2,4,5}:{(133,1),(139,1),(184,1),(189,1)}
       160:{3,4,6}:{(133,1),(134,1),(136,1),(184,1),(197,1),(227,1)}
       161:{2,3,6}:{(134,1),(135,1),(137,1),(186,1),(238,1)}
       162:{1,4,6}:{(135,1),(138,1),(181,1),(186,1)}
       163:{2,3,4,7}:{(136,1),(137,1),(142,1),(185,1),(187,1),(195,1),(215,1),(244,1)}
       164:{1,3,5,7}:{(137,1),(138,1),(186,1),(187,1),(188,1),(221,1)}
       165:{1,3,5}:{(139,1),(140,1),(144,1),(184,1),(189,1)}
       166:{2,4,6}:{(140,1),(141,1),(142,1),(189,1),(190,1)}
       167:{1,3,6}:{(141,1),(143,1),(190,1),(191,1)}
       168:{1,4,7}:{(142,1),(143,1),(190,1),(240,1)}
       169:{1,2,5,7}:{(143,1),(148,1),(188,1),(191,1),(192,1),(224,1)}
       170:{2,3,5}:{(144,1),(145,1),(149,1),(189,1),(193,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(147,1),(150,1),(190,1),(193,1),(194,1),(197,1),(225,1),(227,1),(240,1)}
       172:{2,6}:{(146,1),(148,1)}
       173:{2,4,7}:{(147,1),(148,1),(194,1),(195,1)}
       174:{1,4,5}:{(149,1),(150,1),(193,1),(196,1),(240,1)}
       175:{2,4,6}:{(150,1),(151,1),(152,1),(196,1),(197,1)}
       176:{3,7}:{(152,1),(197,1)}
       177:{3,5,7}:{(153,1),(155,1),(157,1),(198,1)}
       178:{2,5,7}:{(154,1),(156,1),(158,1),(200,1)}
       179:{3,4,6}:{(155,1),(198,1),(201,1),(202,1)}
       180:{2,3,5,6}:{(155,1),(156,1),(161,1),(199,1),(202,1),(203,1),(205,1)}
       181:{1,5,6}:{(156,1),(162,1),(200,1),(209,1)}
       182:{2,3,6,7}:{(157,1),(158,1),(161,1),(199,1),(204,1),(241,1)}
       183:{1,4,6,7}:{(158,1),(162,1),(200,1),(204,1),(228,1)}
       184:{3,5}:{(159,1),(160,1)}
       185:{2,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(202,1),(205,1),(206,1),(213,1),(235,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(207,1)}
       187:{1,3,4,7}:{(163,1),(164,1),(168,1),(206,1),(208,1),(211,1),(228,1),(241,1)}
       188:{2,5,7}:{(164,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(165,1),(166,1),(209,1)}
       190:{1,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       191:{1,2,6}:{(167,1),(169,1),(172,1),(207,1)}
       192:{1,2,4,7}:{(168,1),(169,1),(173,1),(208,1),(210,1),(211,1)}
       193:{1,3,5}:{(170,1),(171,1),(174,1),(209,1),(212,1),(214,1)}
       194:{2,4,6}:{(171,1),(172,1),(173,1),(212,1),(213,1),(235,1)}
       195:{2,3,7}:{(173,1),(176,1),(211,1),(213,1)}
       196:{2,4,5}:{(174,1),(175,1),(212,1),(214,1),(235,1)}
       197:{3,6}:{(175,1),(176,1),(214,1)}
       198:{3,4,7}:{(177,1),(179,1),(215,1)}
       199:{2,3,5,7}:{(177,1),(178,1),(180,1),(182,1),(215,1),(216,1)}
       200:{1,5,7}:{(178,1),(181,1),(183,1)}
       201:{3,4,5}:{(179,1),(184,1),(217,1),(227,1)}
       202:{2,4,6}:{(179,1),(180,1),(215,1),(217,1),(218,1)}
       203:{1,3,5,6}:{(180,1),(181,1),(186,1),(216,1),(218,1),(219,1),(221,1),(238,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(186,1),(216,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(195,1),(223,1),(225,1)}
       212:{2,5}:{(193,1),(194,1)}
       213:{2,3,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       214:{3,5}:{(196,1),(197,1),(227,1)}
       215:{2,4,7}:{(198,1),(199,1),(202,1),(228,1)}
       216:{1,3,5,7}:{(199,1),(200,1),(203,1),(204,1),(228,1),(229,1),(241,1)}
       217:{2,4,5}:{(201,1),(202,1),(205,1),(230,1),(235,1)}
       218:{1,4,6}:{(202,1),(203,1),(228,1),(230,1),(231,1)}
       219:{2,5,6}:{(203,1),(207,1),(229,1),(231,1),(232,1)}
       220:{2,6,7}:{(204,1),(207,1),(229,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(230,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(233,1),(241,1)}
       224:{1,2,5}:{(209,1),(210,1),(212,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(213,1),(233,1),(234,1)}
       226:{2,3,5}:{(212,1),(213,1),(214,1),(234,1),(235,1)}
       227:{3,4}:{(214,1),(235,1)}
       228:{1,4,7}:{(215,1),(216,1),(218,1),(236,1)}
       229:{2,5,7}:{(216,1),(219,1),(220,1),(236,1)}
       230:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       231:{2,4,6}:{(218,1),(219,1),(236,1),(237,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(226,1),(239,1),(240,1)}
       235:{2,4}:{(226,1),(227,1),(240,1)}
       236:{2,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(235,1),(243,1)}
       241:{3,7}:{(236,1),(238,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1780 :   0:{3,4,5,6}:{(1,1),(2,1),(132,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(112,1),(154,1)}
         2:{3,4,5,7}:{(0,1),(7,1),(8,1),(150,1),(169,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(83,1),(89,1)}
         4:{1,2,3,6}:{(9,1),(12,1),(13,1),(85,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1)}
         6:{1,4,5,6}:{(1,1),(15,1),(17,1),(18,1),(92,1),(140,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(16,1),(18,1),(19,1),(135,1),(165,1)}
         8:{3,4,6,7}:{(2,1),(19,1),(20,1)}
         9:{1,2,3,5}:{(4,1),(21,1),(27,1),(61,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(34,1),(61,1),(68,1)}
        11:{2,3,4,6}:{(3,1),(5,1),(24,1),(25,1),(106,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(21,1),(26,1),(27,1),(28,1),(72,1)}
        13:{1,2,3,7}:{(4,1),(28,1),(108,1)}
        14:{2,3,4,6}:{(22,1),(26,1),(29,1),(30,1),(64,1),(73,1),(76,1)}
        15:{1,3,5,6}:{(5,1),(6,1),(24,1),(31,1),(32,1),(35,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(25,1),(32,1),(33,1)}
        17:{2,4,5,6}:{(6,1),(31,1),(35,1),(36,1),(73,1),(122,1),(125,1)}
        18:{1,4,5,7}:{(6,1),(7,1),(32,1),(36,1),(37,1),(117,1),(156,1)}
        19:{2,4,6,7}:{(7,1),(8,1),(33,1),(37,1),(38,1)}
        20:{3,5,6,7}:{(8,1),(38,1),(39,1),(169,1)}
        21:{1,2,4}:{(9,1),(40,1)}
        22:{2,3,4}:{(40,1),(42,1)}
        23:{2,4,5}:{(10,1),(42,1),(43,1)}
        24:{1,3,4,6}:{(10,1),(11,1),(15,1),(43,1),(44,1),(55,1),(85,1),(92,1)}
        25:{2,3,4,7}:{(11,1),(16,1),(44,1),(128,1),(135,1)}
        26:{1,3,4,6}:{(12,1),(14,1),(40,1),(45,1),(46,1),(47,1),(85,1),(92,1),(95,1)}
        27:{1,2,5}:{(12,1),(46,1)}
        28:{1,2,4,7}:{(12,1),(13,1),(47,1),(49,1)}
        29:{2,3,5}:{(14,1),(46,1),(50,1)}
        30:{2,3,4,7}:{(14,1),(47,1),(52,1),(88,1),(98,1)}
        31:{2,5,6}:{(15,1),(43,1),(53,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(18,1),(44,1),(53,1),(54,1),(57,1)}
        33:{2,3,6,7}:{(16,1),(19,1),(54,1)}
        34:{3,4,5}:{(50,1),(55,1)}
        35:{3,5,6}:{(17,1),(55,1),(57,1)}
        36:{2,4,5,7}:{(17,1),(18,1),(53,1),(57,1),(58,1),(98,1),(142,1),(144,1)}
        37:{1,4,6,7}:{(18,1),(19,1),(54,1),(58,1),(59,1)}
        38:{2,5,6,7}:{(19,1),(20,1),(59,1),(165,1)}
        39:{4,5,6,7}:{(20,1),(173,1)}
        40:{1,3,4}:{(21,1),(22,1),(60,1),(61,1)}
        41:{1,2,4,5}:{(21,1),(23,1),(27,1),(61,1),(62,1),(68,1),(105,1)}
        42:{2,3,5}:{(22,1),(23,1),(61,1),(64,1)}
        43:{2,4,6}:{(23,1),(24,1),(31,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(24,1),(25,1),(32,1),(65,1),(79,1),(108,1),(117,1)}
        45:{2,3,4,6}:{(26,1),(60,1),(66,1),(67,1),(106,1),(112,1),(115,1)}
        46:{1,3,5}:{(26,1),(27,1),(29,1),(66,1),(68,1)}
        47:{1,3,4,7}:{(26,1),(28,1),(30,1),(67,1),(70,1),(108,1),(117,1)}
        48:{1,2,5,6}:{(27,1),(31,1),(62,1),(69,1),(71,1),(72,1),(145,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(70,1),(72,1)}
        50:{2,4,5}:{(29,1),(34,1),(68,1),(73,1)}
        51:{2,3,5,6}:{(29,1),(31,1),(35,1),(64,1),(69,1),(73,1),(75,1),(76,1),(122,1)}
        52:{2,3,5,7}:{(29,1),(30,1),(70,1),(74,1),(76,1)}
        53:{2,5,7}:{(31,1),(32,1),(65,1),(77,1)}
        54:{1,3,6,7}:{(32,1),(33,1),(37,1),(77,1),(81,1)}
        55:{3,4,6}:{(34,1),(35,1),(73,1),(79,1)}
        56:{3,4,5,7}:{(34,1),(74,1),(79,1),(80,1),(124,1)}
        57:{3,5,7}:{(35,1),(36,1),(79,1),(81,1)}
        58:{2,4,6,7}:{(36,1),(37,1),(77,1),(81,1),(82,1),(126,1)}
        59:{1,5,6,7}:{(37,1),(38,1),(82,1),(156,1)}
        60:{2,3,4}:{(40,1),(83,1)}
        61:{1,3,5}:{(40,1),(41,1),(42,1),(83,1),(85,1)}
        62:{1,2,4,6}:{(41,1),(43,1),(48,1),(85,1),(86,1),(92,1),(127,1)}
        63:{2,3,4,5}:{(42,1),(50,1),(84,1),(87,1)}
        64:{2,3,6}:{(42,1),(43,1),(85,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(53,1),(88,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1)}
        67:{2,3,4,7}:{(45,1),(47,1),(91,1),(128,1),(135,1)}
        68:{1,4,5}:{(46,1),(50,1),(89,1),(92,1)}
        69:{1,3,5,6}:{(46,1),(48,1),(51,1),(85,1),(90,1),(92,1),(94,1),(95,1),(140,1)}
        70:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(91,1),(93,1),(95,1)}
        71:{1,2,5,7}:{(48,1),(53,1),(86,1),(94,1),(96,1),(159,1)}
        72:{1,2,6}:{(49,1),(95,1)}
        73:{2,4,6}:{(50,1),(51,1),(55,1),(92,1),(98,1)}
        74:{2,4,5,7}:{(50,1),(52,1),(56,1),(93,1),(98,1),(99,1),(142,1)}
        75:{2,3,5,7}:{(51,1),(53,1),(57,1),(88,1),(94,1),(98,1),(100,1),(142,1)}
        76:{2,3,6}:{(52,1),(95,1),(99,1)}
        77:{2,6,7}:{(53,1),(54,1)}
        78:{3,4,5,6}:{(55,1),(97,1),(101,1),(103,1)}
        79:{3,4,7}:{(55,1),(57,1),(98,1)}
        80:{3,4,6}:{(56,1),(99,1),(103,1)}
        81:{3,6,7}:{(57,1),(58,1)}
        82:{2,5,6,7}:{(58,1),(59,1),(104,1),(142,1)}
        83:{2,3,5}:{(60,1),(61,1),(105,1),(106,1)}
        84:{1,3,4,5}:{(61,1),(63,1),(68,1),(105,1),(107,1),(111,1)}
        85:{1,3,6}:{(61,1),(62,1),(64,1),(106,1),(108,1)}
        86:{1,2,4,7}:{(62,1),(65,1),(71,1),(108,1),(117,1),(146,1)}
        87:{2,3,4,6}:{(63,1),(64,1),(73,1),(107,1),(109,1),(110,1)}
        88:{2,3,7}:{(64,1),(65,1),(108,1)}
        89:{2,4,5}:{(66,1),(68,1),(111,1),(112,1)}
        90:{2,3,5,6}:{(66,1),(69,1),(106,1),(112,1),(114,1),(115,1),(145,1),(149,1),(154,1)}
        91:{2,3,5,7}:{(66,1),(67,1),(70,1),(113,1),(115,1)}
        92:{1,4,6}:{(68,1),(69,1),(73,1),(112,1),(117,1)}
        93:{1,4,5,7}:{(68,1),(70,1),(74,1),(113,1),(117,1),(118,1),(156,1)}
        94:{1,3,5,7}:{(69,1),(71,1),(75,1),(108,1),(114,1),(117,1),(119,1),(156,1)}
        95:{1,3,6}:{(70,1),(72,1),(76,1),(115,1),(118,1)}
        96:{1,2,6,7}:{(71,1),(72,1),(77,1),(119,1),(167,1)}
        97:{2,4,5,6}:{(73,1),(78,1),(109,1),(116,1),(120,1),(122,1)}
        98:{2,4,7}:{(73,1),(75,1),(79,1),(117,1)}
        99:{2,4,6}:{(74,1),(76,1),(80,1),(118,1),(122,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(77,1),(81,1),(119,1),(121,1)}
       101:{3,4,5,7}:{(78,1),(79,1),(120,1),(123,1),(124,1)}
       102:{3,4,6,7}:{(79,1),(80,1),(81,1),(121,1),(124,1),(126,1)}
       103:{3,5,6}:{(80,1),(122,1),(124,1),(125,1)}
       104:{3,5,6,7}:{(81,1),(82,1),(124,1),(126,1)}
       105:{2,4,5}:{(83,1),(84,1),(127,1)}
       106:{2,3,6}:{(83,1),(85,1),(127,1),(128,1)}
       107:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(127,1),(129,1),(130,1),(132,1)}
       108:{1,3,7}:{(85,1),(86,1),(88,1),(128,1)}
       109:{2,3,5,6}:{(87,1),(97,1),(129,1),(131,1)}
       110:{2,3,4,7}:{(87,1),(88,1),(98,1),(130,1),(131,1)}
       111:{3,4,5}:{(89,1),(132,1)}
       112:{2,4,6}:{(89,1),(90,1),(92,1),(132,1),(135,1)}
       113:{2,4,5,7}:{(89,1),(91,1),(93,1),(133,1),(135,1),(136,1),(165,1)}
       114:{2,3,5,7}:{(90,1),(94,1),(128,1),(135,1),(137,1),(159,1),(161,1),(165,1)}
       115:{2,3,6}:{(91,1),(95,1),(136,1)}
       116:{1,4,5,6}:{(92,1),(97,1),(129,1),(134,1),(138,1),(140,1)}
       117:{1,4,7}:{(92,1),(94,1),(98,1),(135,1)}
       118:{1,4,6}:{(93,1),(95,1),(99,1),(136,1),(140,1)}
       119:{1,3,6,7}:{(94,1),(95,1),(96,1),(100,1),(137,1),(139,1)}
       120:{2,4,5,7}:{(97,1),(98,1),(101,1),(131,1),(138,1),(141,1),(142,1)}
       121:{2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(139,1),(142,1)}
       122:{2,5,6}:{(99,1),(103,1),(140,1),(142,1)}
       123:{3,4,6,7}:{(101,1),(141,1),(143,1)}
       124:{3,5,7}:{(102,1),(103,1),(142,1),(144,1)}
       125:{4,5,6}:{(103,1),(144,1)}
       126:{4,6,7}:{(104,1),(144,1)}
       127:{2,4,6}:{(105,1),(106,1),(107,1),(145,1),(146,1)}
       128:{2,3,7}:{(106,1),(108,1),(146,1)}
       129:{1,3,5,6}:{(107,1),(109,1),(116,1),(145,1),(147,1),(149,1)}
       130:{1,3,4,7}:{(107,1),(108,1),(110,1),(117,1),(146,1),(147,1),(150,1)}
       131:{2,3,5,7}:{(109,1),(110,1),(120,1),(147,1),(148,1)}
       132:{3,4,6}:{(111,1),(112,1),(149,1),(150,1)}
       133:{3,4,5,7}:{(111,1),(113,1),(150,1),(151,1),(169,1)}
       134:{2,4,5,6}:{(112,1),(116,1),(145,1),(149,1),(152,1),(154,1),(170,1)}
       135:{2,4,7}:{(112,1),(114,1),(117,1),(150,1)}
       136:{2,4,6}:{(113,1),(115,1),(118,1),(151,1),(154,1)}
       137:{2,3,6,7}:{(114,1),(115,1),(119,1),(153,1),(167,1),(168,1)}
       138:{1,4,5,7}:{(116,1),(117,1),(120,1),(147,1),(152,1),(155,1),(156,1)}
       139:{1,4,6,7}:{(117,1),(118,1),(119,1),(121,1),(153,1),(156,1)}
       140:{1,5,6}:{(118,1),(122,1),(154,1),(156,1)}
       141:{2,4,6,7}:{(120,1),(123,1),(148,1),(155,1),(157,1)}
       142:{2,5,7}:{(121,1),(122,1),(124,1),(156,1)}
       143:{3,5,6,7}:{(123,1),(124,1),(157,1),(158,1)}
       144:{4,5,7}:{(124,1),(125,1),(126,1)}
       145:{2,5,6}:{(127,1),(129,1),(159,1)}
       146:{2,4,7}:{(127,1),(128,1),(130,1),(159,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(131,1),(138,1),(159,1),(160,1),(161,1)}
       148:{2,3,6,7}:{(131,1),(141,1),(160,1)}
       149:{3,5,6}:{(132,1),(134,1),(161,1)}
       150:{3,4,7}:{(132,1),(135,1),(161,1)}
       151:{3,4,6}:{(133,1),(136,1),(163,1)}
       152:{2,4,5,7}:{(134,1),(135,1),(138,1),(159,1),(161,1),(164,1),(165,1),(173,1)}
       153:{2,4,6,7}:{(135,1),(136,1),(137,1),(139,1),(162,1),(165,1)}
       154:{2,5,6}:{(136,1),(140,1),(163,1),(165,1)}
       155:{1,4,6,7}:{(138,1),(141,1),(160,1),(164,1),(166,1)}
       156:{1,5,7}:{(139,1),(140,1),(142,1),(165,1)}
       157:{2,5,6,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{4,5,6,7}:{(143,1),(144,1)}
       159:{2,5,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{1,3,6,7}:{(147,1),(148,1),(155,1),(167,1),(168,1)}
       161:{3,5,7}:{(149,1),(150,1),(152,1),(168,1)}
       162:{3,4,6,7}:{(150,1),(151,1),(153,1),(168,1),(169,1),(174,1)}
       163:{3,5,6}:{(151,1),(154,1),(169,1),(170,1)}
       164:{2,4,6,7}:{(152,1),(155,1),(167,1),(168,1),(171,1),(174,1)}
       165:{2,5,7}:{(153,1),(154,1),(156,1),(169,1)}
       166:{1,5,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       167:{2,6,7}:{(159,1),(160,1)}
       168:{3,6,7}:{(161,1),(164,1)}
       169:{3,5,7}:{(162,1),(163,1),(165,1),(173,1)}
       170:{4,5,6}:{(163,1),(173,1)}
       171:{2,5,6,7}:{(164,1),(165,1),(166,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1781 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(115,1)}
         2:{3,4,5,6}:{(5,1),(6,1),(102,1),(122,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(7,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(8,1),(105,1)}
         5:{3,4,5,7}:{(2,1),(3,1),(10,1),(111,1),(115,1)}
         6:{2,4,5,6}:{(2,1),(10,1),(11,1),(12,1),(89,1),(116,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(10,1),(13,1),(14,1)}
         8:{1,5,6,7}:{(4,1),(14,1),(15,1),(92,1)}
         9:{2,3,4,5}:{(16,1),(17,1),(67,1),(103,1)}
        10:{2,4,5,7}:{(5,1),(6,1),(7,1),(18,1),(19,1),(99,1),(105,1)}
        11:{2,3,5,6}:{(6,1),(16,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(73,1),(106,1)}
        13:{2,3,6,7}:{(7,1),(18,1),(22,1)}
        14:{1,4,6,7}:{(7,1),(8,1),(19,1),(22,1),(23,1)}
        15:{2,5,6,7}:{(8,1),(23,1),(24,1),(77,1)}
        16:{2,3,4,6}:{(9,1),(11,1),(25,1),(26,1),(81,1),(89,1)}
        17:{1,3,4,5}:{(9,1),(26,1),(27,1),(51,1),(58,1),(90,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(25,1),(28,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(14,1),(28,1),(29,1),(86,1),(92,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(26,1),(28,1),(30,1),(31,1)}
        21:{2,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(57,1),(62,1),(93,1)}
        22:{1,3,6,7}:{(13,1),(14,1),(28,1),(32,1),(33,1)}
        23:{2,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(33,1),(34,1)}
        24:{3,5,6,7}:{(15,1),(33,1),(34,1),(61,1)}
        25:{2,3,4,7}:{(16,1),(18,1),(35,1),(94,1),(99,1)}
        26:{1,3,4,6}:{(16,1),(17,1),(20,1),(35,1),(36,1),(43,1),(65,1),(73,1)}
        27:{2,4,5}:{(17,1),(36,1),(38,1)}
        28:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(35,1),(39,1),(40,1)}
        29:{2,4,5,7}:{(19,1),(21,1),(23,1),(39,1),(40,1),(47,1),(70,1),(77,1)}
        30:{2,5,6}:{(20,1),(36,1),(39,1)}
        31:{3,5,6}:{(21,1),(40,1),(43,1)}
        32:{2,6,7}:{(22,1),(39,1)}
        33:{3,6,7}:{(23,1),(40,1)}
        34:{4,6,7}:{(24,1),(47,1)}
        35:{1,3,4,7}:{(25,1),(26,1),(28,1),(48,1),(55,1),(79,1),(86,1)}
        36:{2,4,6}:{(26,1),(27,1),(30,1),(48,1),(50,1)}
        37:{1,2,4,5}:{(27,1),(49,1),(51,1),(84,1),(90,1),(110,1)}
        38:{2,3,5}:{(27,1),(50,1),(51,1),(52,1)}
        39:{2,5,7}:{(28,1),(30,1),(32,1),(48,1)}
        40:{3,5,7}:{(29,1),(31,1),(33,1),(55,1)}
        41:{1,2,5,6}:{(30,1),(49,1),(53,1),(56,1),(110,1),(123,1)}
        42:{2,3,5,6}:{(30,1),(31,1),(50,1),(54,1),(56,1),(57,1),(83,1),(93,1),(109,1)}
        43:{3,4,6}:{(31,1),(55,1),(57,1),(58,1)}
        44:{1,2,6,7}:{(32,1),(53,1),(59,1),(123,1)}
        45:{2,3,6,7}:{(32,1),(33,1),(54,1),(59,1),(60,1),(109,1)}
        46:{3,4,6,7}:{(33,1),(34,1),(55,1),(60,1),(61,1),(88,1)}
        47:{4,5,7}:{(34,1),(61,1),(62,1)}
        48:{2,4,7}:{(35,1),(36,1),(39,1),(64,1)}
        49:{1,2,4,6}:{(36,1),(37,1),(41,1),(63,1),(65,1),(73,1),(97,1)}
        50:{2,3,6}:{(36,1),(38,1),(64,1),(65,1)}
        51:{1,3,5}:{(37,1),(38,1),(65,1),(67,1),(68,1)}
        52:{2,3,4}:{(38,1),(68,1)}
        53:{1,2,5,7}:{(39,1),(41,1),(44,1),(63,1),(69,1),(117,1)}
        54:{2,3,5,7}:{(39,1),(40,1),(42,1),(45,1),(64,1),(69,1),(70,1),(77,1)}
        55:{3,4,7}:{(40,1),(43,1),(70,1)}
        56:{1,3,5,6}:{(41,1),(42,1),(65,1),(69,1),(72,1),(73,1),(98,1),(106,1),(118,1)}
        57:{2,4,6}:{(42,1),(43,1),(70,1),(73,1),(74,1)}
        58:{3,4,5}:{(43,1),(74,1)}
        59:{1,3,6,7}:{(44,1),(45,1),(69,1),(75,1),(76,1),(118,1)}
        60:{2,4,6,7}:{(45,1),(46,1),(70,1),(76,1),(77,1),(101,1)}
        61:{3,5,7}:{(46,1),(47,1),(77,1),(78,1)}
        62:{4,5,6}:{(47,1),(78,1)}
        63:{1,2,4,7}:{(48,1),(49,1),(53,1),(79,1),(86,1),(107,1)}
        64:{2,3,7}:{(48,1),(50,1),(79,1)}
        65:{1,3,6}:{(49,1),(50,1),(51,1),(79,1),(81,1)}
        66:{2,3,4,6}:{(50,1),(52,1),(57,1),(80,1),(82,1),(83,1),(109,1)}
        67:{2,3,5}:{(51,1),(81,1),(84,1),(110,1)}
        68:{1,3,4}:{(51,1),(52,1),(84,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(56,1),(59,1),(79,1),(85,1),(86,1),(92,1)}
        70:{2,4,7}:{(54,1),(55,1),(57,1),(86,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(61,1),(87,1),(88,1)}
        72:{2,3,5,6}:{(56,1),(81,1),(85,1),(89,1),(110,1),(114,1),(116,1),(123,1),(124,1)}
        73:{1,4,6}:{(56,1),(57,1),(86,1),(89,1),(90,1)}
        74:{2,4,5}:{(57,1),(58,1),(83,1),(90,1)}
        75:{2,3,6,7}:{(59,1),(85,1),(91,1),(123,1),(124,1)}
        76:{1,4,6,7}:{(59,1),(60,1),(86,1),(91,1),(92,1),(113,1)}
        77:{2,5,7}:{(60,1),(61,1),(92,1),(93,1)}
        78:{3,5,6}:{(61,1),(62,1),(88,1),(93,1)}
        79:{1,3,7}:{(63,1),(64,1),(65,1),(94,1)}
        80:{2,3,4,7}:{(64,1),(66,1),(70,1),(95,1),(96,1)}
        81:{2,3,6}:{(65,1),(67,1),(94,1),(97,1)}
        82:{1,3,4,6}:{(65,1),(66,1),(68,1),(73,1),(95,1),(97,1),(98,1),(102,1),(118,1)}
        83:{2,3,5}:{(66,1),(74,1),(98,1)}
        84:{2,4}:{(67,1),(68,1)}
        85:{2,3,5,7}:{(69,1),(72,1),(75,1),(94,1),(99,1),(105,1),(117,1),(119,1)}
        86:{1,4,7}:{(69,1),(70,1),(73,1),(99,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(74,1),(77,1),(96,1),(100,1),(101,1)}
        88:{3,4,6}:{(71,1),(78,1),(101,1)}
        89:{2,4,6}:{(72,1),(73,1),(99,1),(102,1),(103,1)}
        90:{1,4,5}:{(73,1),(74,1),(98,1),(103,1)}
        91:{2,4,6,7}:{(75,1),(76,1),(99,1),(104,1),(105,1),(120,1)}
        92:{1,5,7}:{(76,1),(77,1),(105,1),(106,1)}
        93:{2,5,6}:{(77,1),(78,1),(101,1),(106,1)}
        94:{2,3,7}:{(79,1),(81,1),(107,1)}
        95:{1,3,4,7}:{(79,1),(80,1),(82,1),(86,1),(107,1),(108,1),(111,1)}
        96:{2,3,5,7}:{(80,1),(83,1),(87,1),(108,1),(109,1)}
        97:{2,4,6}:{(81,1),(82,1),(84,1),(107,1),(110,1),(123,1)}
        98:{1,3,5}:{(82,1),(83,1),(90,1),(110,1),(114,1)}
        99:{2,4,7}:{(85,1),(86,1),(89,1),(111,1)}
       100:{1,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(108,1),(112,1),(113,1)}
       101:{2,4,6}:{(87,1),(88,1),(93,1),(109,1),(113,1)}
       102:{3,4,6}:{(89,1),(111,1),(114,1),(124,1)}
       103:{2,4,5}:{(89,1),(90,1),(110,1),(114,1)}
       104:{3,4,6,7}:{(91,1),(111,1),(115,1),(124,1),(125,1)}
       105:{2,5,7}:{(91,1),(92,1),(115,1),(116,1)}
       106:{1,5,6}:{(92,1),(93,1),(113,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(97,1),(117,1)}
       108:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(117,1),(118,1),(119,1)}
       109:{2,3,6}:{(96,1),(101,1),(118,1)}
       110:{2,5}:{(97,1),(98,1)}
       111:{3,4,7}:{(99,1),(102,1),(119,1)}
       112:{2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(117,1),(119,1),(120,1),(121,1)}
       113:{1,4,6}:{(100,1),(101,1),(106,1),(118,1),(120,1)}
       114:{3,5}:{(102,1),(103,1)}
       115:{3,5,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{2,5,6}:{(105,1),(106,1),(120,1),(122,1)}
       117:{2,5,7}:{(107,1),(108,1),(110,1),(123,1)}
       118:{1,3,6}:{(108,1),(109,1),(113,1),(123,1),(124,1)}
       119:{3,5,7}:{(111,1),(112,1),(114,1),(124,1)}
       120:{2,4,6}:{(112,1),(113,1),(116,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(115,1),(125,1)}
       122:{3,5,6}:{(115,1),(116,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1782 :   0:{1,2,3,5,6}:{(1,1),(2,1),(11,1),(17,1),(44,1),(45,1),(124,1),(198,1),(279,1),(378,1),(380,1),(453,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(30,1),(330,1),(421,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(24,1),(29,1),(33,1),(168,1),(249,1),(354,1)}
         3:{1,2,4,5,6}:{(4,1),(8,1),(9,1),(25,1),(30,1),(37,1),(88,1),(140,1),(141,1),(151,1),(334,1),(337,1),(421,1)}
         4:{1,2,4,5}:{(1,1),(11,1),(40,1),(453,1),(455,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(13,1),(14,1),(44,1),(198,1),(280,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(14,1),(52,1),(400,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(44,1),(56,1),(217,1),(303,1),(378,1),(466,1)}
         8:{1,3,5,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(44,1),(198,1),(384,1)}
         9:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(52,1),(61,1),(117,1),(118,1),(126,1),(199,1),(304,1),(308,1),(400,1)}
        10:{1,3,4,5,6}:{(16,1),(20,1),(21,1),(58,1),(101,1),(129,1),(286,1),(287,1),(327,1),(384,1)}
        11:{1,3,5}:{(4,1),(5,1),(23,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(24,1),(25,1),(29,1),(66,1),(76,1)}
        13:{2,3,4,6}:{(5,1),(23,1),(26,1),(27,1),(30,1),(70,1),(152,1),(230,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(24,1),(27,1),(249,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(25,1),(28,1),(29,1),(81,1),(418,1),(432,1),(433,1)}
        16:{1,3,4,6}:{(8,1),(22,1),(30,1),(31,1),(421,1),(424,1)}
        17:{2,3,5,6}:{(8,1),(23,1),(30,1),(32,1),(33,1),(70,1),(88,1),(140,1),(152,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(31,1),(33,1),(34,1),(249,1),(359,1)}
        19:{1,2,4,6,7}:{(9,1),(25,1),(34,1),(35,1),(81,1),(87,1),(93,1),(171,1),(273,1)}
        20:{2,4,5,6}:{(10,1),(30,1),(36,1),(37,1),(38,1),(88,1),(140,1),(169,1),(371,1)}
        21:{1,3,4,5,7}:{(10,1),(31,1),(38,1),(39,1),(82,1),(89,1),(175,1),(255,1),(256,1),(276,1),(359,1)}
        22:{1,3,4,5}:{(11,1),(16,1),(40,1),(455,1),(458,1)}
        23:{2,3,5}:{(11,1),(13,1),(40,1),(42,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(14,1),(43,1),(44,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(45,1),(100,1),(106,1)}
        26:{1,3,4,6}:{(13,1),(42,1),(46,1),(47,1),(51,1),(104,1),(114,1),(185,1)}
        27:{2,3,4,7}:{(13,1),(14,1),(43,1),(47,1),(52,1),(201,1)}
        28:{1,3,4,6,7}:{(14,1),(15,1),(44,1),(48,1),(49,1),(106,1),(303,1),(317,1),(379,1),(392,1),(393,1),(400,1)}
        29:{1,2,5,7}:{(15,1),(45,1),(49,1),(117,1),(453,1)}
        30:{2,4,6}:{(16,1),(17,1),(40,1),(51,1),(52,1)}
        31:{1,3,4,7}:{(16,1),(18,1),(52,1),(400,1),(404,1)}
        32:{1,3,5,6}:{(17,1),(42,1),(51,1),(54,1),(55,1),(104,1),(114,1),(188,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1),(117,1),(126,1),(201,1)}
        34:{1,3,6,7}:{(18,1),(19,1),(44,1),(56,1),(325,1)}
        35:{1,2,5,6,7}:{(19,1),(45,1),(57,1),(117,1),(132,1),(221,1),(304,1),(410,1)}
        36:{2,3,5,6}:{(20,1),(50,1),(58,1),(59,1),(384,1)}
        37:{1,4,5,6}:{(20,1),(51,1),(58,1),(61,1),(188,1),(215,1),(411,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(52,1),(59,1),(61,1),(62,1),(117,1),(126,1),(219,1),(323,1)}
        39:{1,3,4,6,7}:{(21,1),(62,1),(63,1),(127,1),(222,1),(223,1),(325,1)}
        40:{2,4,5}:{(22,1),(23,1),(30,1),(65,1)}
        41:{1,3,4,5,7}:{(22,1),(24,1),(31,1),(66,1),(67,1),(76,1),(82,1),(150,1)}
        42:{1,3,5}:{(23,1),(26,1),(65,1),(68,1)}
        43:{2,3,5,7}:{(23,1),(24,1),(27,1),(66,1),(69,1),(70,1)}
        44:{1,3,6}:{(24,1),(25,1),(70,1)}
        45:{1,2,5,6}:{(25,1),(29,1),(71,1),(140,1),(432,1)}
        46:{1,2,4,6}:{(26,1),(68,1),(72,1),(73,1),(142,1),(144,1)}
        47:{1,3,4,7}:{(26,1),(27,1),(69,1),(73,1),(80,1),(157,1)}
        48:{2,3,4,6,7}:{(27,1),(28,1),(70,1),(74,1),(75,1),(81,1),(146,1),(166,1),(253,1),(265,1),(335,1),(345,1),(347,1),(358,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(71,1),(75,1),(76,1),(365,1),(420,1)}
        50:{2,3,4,6}:{(30,1),(36,1),(64,1),(77,1),(78,1),(152,1),(169,1),(424,1)}
        51:{1,4,6}:{(30,1),(32,1),(65,1),(80,1)}
        52:{2,4,7}:{(30,1),(31,1),(33,1),(80,1)}
        53:{1,3,4,6,7}:{(31,1),(34,1),(67,1),(81,1),(82,1),(87,1),(166,1)}
        54:{1,2,5,6}:{(32,1),(68,1),(79,1),(84,1),(88,1),(144,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(80,1),(84,1),(85,1),(157,1),(159,1)}
        56:{2,3,6,7}:{(33,1),(34,1),(70,1),(81,1),(85,1),(171,1)}
        57:{1,3,5,6,7}:{(34,1),(35,1),(71,1),(82,1),(86,1),(87,1),(354,1),(365,1),(366,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(77,1),(88,1),(89,1)}
        59:{2,3,5,7}:{(36,1),(38,1),(78,1),(89,1),(90,1),(359,1)}
        60:{1,2,4,5,6}:{(37,1),(79,1),(88,1),(91,1),(92,1),(161,1),(169,1),(237,1),(262,1),(337,1),(340,1),(371,1),(376,1)}
        61:{1,4,5,7}:{(37,1),(38,1),(80,1),(89,1),(93,1),(159,1),(267,1),(368,1)}
        62:{2,4,6,7}:{(38,1),(39,1),(90,1),(93,1),(94,1),(171,1)}
        63:{1,3,5,6,7}:{(39,1),(82,1),(94,1),(95,1),(179,1),(276,1)}
        64:{2,3,4,5}:{(40,1),(50,1),(96,1),(181,1),(218,1),(458,1)}
        65:{1,4,5}:{(40,1),(42,1),(51,1)}
        66:{2,4,5,7}:{(40,1),(41,1),(43,1),(52,1),(99,1),(100,1),(117,1)}
        67:{1,3,4,6}:{(41,1),(44,1),(100,1),(101,1),(106,1),(194,1)}
        68:{1,2,5}:{(42,1),(46,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(47,1),(99,1),(103,1),(104,1)}
        70:{2,3,6}:{(43,1),(44,1),(100,1),(104,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(49,1),(105,1),(106,1),(389,1),(392,1)}
        72:{1,2,3,6}:{(46,1),(102,1),(107,1),(114,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(103,1),(107,1)}
        74:{1,3,4,6,7}:{(47,1),(48,1),(104,1),(108,1),(109,1),(116,1),(193,1),(207,1),(288,1),(294,1),(296,1),(312,1)}
        75:{2,3,5,7}:{(48,1),(49,1),(105,1),(109,1),(110,1),(117,1),(210,1),(314,1),(382,1)}
        76:{1,4,5,7}:{(49,1),(106,1),(110,1),(400,1),(455,1)}
        77:{1,3,4,6}:{(50,1),(51,1),(58,1),(96,1),(111,1),(112,1),(114,1),(198,1),(215,1)}
        78:{2,3,4,7}:{(50,1),(52,1),(59,1),(112,1),(201,1),(219,1),(404,1)}
        79:{1,2,4,6}:{(51,1),(54,1),(98,1),(111,1),(114,1),(115,1)}
        80:{1,4,7}:{(51,1),(52,1),(55,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(56,1),(100,1),(116,1),(117,1)}
        82:{1,3,5,7}:{(53,1),(101,1),(117,1),(118,1),(210,1)}
        83:{1,2,3,5,6}:{(54,1),(102,1),(114,1),(119,1),(120,1),(125,1),(191,1),(205,1),(289,1),(292,1),(310,1),(315,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(115,1),(121,1),(126,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(104,1),(116,1),(121,1)}
        86:{2,3,5,6,7}:{(56,1),(57,1),(105,1),(117,1),(122,1),(123,1),(210,1),(221,1),(307,1),(314,1),(316,1),(325,1)}
        87:{1,4,6,7}:{(57,1),(106,1),(118,1),(123,1),(400,1)}
        88:{2,5,6}:{(58,1),(111,1),(126,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(61,1),(112,1),(126,1),(127,1)}
        90:{2,3,6,7}:{(59,1),(62,1),(127,1),(325,1)}
        91:{1,3,5,6}:{(60,1),(114,1),(125,1),(129,1),(130,1),(205,1),(310,1),(384,1)}
        92:{1,2,4,5,7}:{(60,1),(61,1),(115,1),(126,1),(130,1),(131,1),(208,1),(219,1),(308,1),(312,1),(323,1),(328,1)}
        93:{1,4,6,7}:{(61,1),(62,1),(127,1),(132,1)}
        94:{2,5,6,7}:{(62,1),(63,1),(117,1),(132,1),(323,1)}
        95:{1,4,5,6,7}:{(63,1),(118,1),(133,1),(222,1),(328,1),(329,1)}
        96:{1,3,4,5}:{(64,1),(65,1),(77,1),(134,1),(137,1),(228,1),(266,1)}
        97:{2,3,4,5,7}:{(64,1),(66,1),(78,1),(135,1),(136,1),(150,1),(155,1),(231,1),(246,1),(270,1),(358,1),(423,1),(442,1),(443,1),(487,1),(498,1)}
        98:{1,2,4,5}:{(65,1),(68,1),(79,1),(134,1),(137,1),(142,1)}
        99:{1,4,5,7}:{(65,1),(66,1),(69,1),(80,1),(139,1),(159,1)}
       100:{2,4,6}:{(66,1),(67,1),(70,1),(139,1),(140,1)}
       101:{1,3,5,6}:{(67,1),(82,1),(140,1),(141,1),(239,1)}
       102:{1,2,3,5}:{(68,1),(72,1),(137,1),(142,1)}
       103:{1,2,5,7}:{(68,1),(69,1),(73,1),(144,1)}
       104:{1,3,6}:{(69,1),(70,1),(139,1),(144,1)}
       105:{2,3,5,6}:{(70,1),(71,1),(75,1),(140,1),(145,1),(146,1),(239,1),(342,1),(345,1)}
       106:{1,4,6}:{(71,1),(76,1),(146,1)}
       107:{1,2,3,7}:{(72,1),(73,1),(157,1)}
       108:{1,2,4,6,7}:{(73,1),(74,1),(144,1),(147,1),(148,1),(240,1),(242,1),(244,1),(265,1)}
       109:{1,3,5,7}:{(74,1),(75,1),(145,1),(148,1),(149,1),(159,1),(339,1)}
       110:{2,4,5,7}:{(75,1),(76,1),(146,1),(149,1),(150,1),(358,1),(423,1)}
       111:{2,4,6}:{(77,1),(88,1),(134,1),(152,1),(153,1)}
       112:{1,3,4,7}:{(77,1),(78,1),(80,1),(89,1),(153,1),(157,1),(249,1),(267,1)}
       113:{2,3,4,6,7}:{(78,1),(81,1),(90,1),(136,1),(154,1),(155,1),(166,1),(173,1),(253,1),(265,1),(271,1),(358,1),(373,1),(374,1),(443,1),(449,1)}
       114:{1,3,6}:{(79,1),(137,1),(152,1),(157,1)}
       115:{1,2,4,7}:{(79,1),(80,1),(84,1),(153,1),(157,1)}
       116:{1,4,6,7}:{(80,1),(81,1),(85,1),(139,1),(159,1)}
       117:{2,5,7}:{(81,1),(82,1),(140,1),(159,1)}
       118:{1,4,5,7}:{(82,1),(87,1),(141,1),(160,1),(365,1)}
       119:{1,2,4,6}:{(83,1),(142,1),(156,1),(161,1),(162,1),(169,1),(340,1)}
       120:{1,2,3,5,7}:{(83,1),(84,1),(157,1),(162,1),(163,1),(170,1),(257,1),(259,1),(263,1)}
       121:{1,2,6,7}:{(84,1),(85,1),(144,1),(171,1)}
       122:{1,3,5,6,7}:{(85,1),(86,1),(145,1),(159,1),(164,1),(165,1),(259,1),(261,1),(264,1)}
       123:{2,4,6,7}:{(86,1),(87,1),(146,1),(160,1),(165,1),(166,1),(358,1)}
       124:{1,2,5,6}:{(88,1),(151,1),(167,1),(168,1),(349,1),(434,1)}
       125:{2,3,5,6}:{(88,1),(91,1),(152,1),(167,1),(169,1),(170,1),(251,1),(356,1),(371,1)}
       126:{2,5,7}:{(88,1),(89,1),(153,1),(171,1)}
       127:{1,3,6,7}:{(89,1),(90,1),(93,1),(171,1)}
       128:{2,3,5,6,7}:{(90,1),(94,1),(155,1),(172,1),(173,1),(179,1),(278,1),(374,1)}
       129:{1,3,4,6}:{(91,1),(169,1),(174,1),(175,1),(340,1),(424,1)}
       130:{1,3,5,7}:{(91,1),(92,1),(157,1),(170,1),(175,1),(176,1),(359,1)}
       131:{1,2,4,6,7}:{(92,1),(93,1),(171,1),(176,1),(177,1),(262,1),(271,1),(273,1),(277,1)}
       132:{1,5,6,7}:{(93,1),(94,1),(159,1),(368,1)}
       133:{2,4,5,6,7}:{(94,1),(95,1),(160,1),(173,1),(178,1),(179,1),(273,1),(278,1),(372,1)}
       134:{2,4,5}:{(96,1),(111,1),(181,1)}
       135:{1,3,4,5,7}:{(96,1),(97,1),(99,1),(112,1),(182,1),(183,1),(186,1),(203,1),(281,1),(298,1),(312,1),(318,1),(386,1),(400,1),(404,1),(455,1),(458,1),(475,1),(510,1),(519,1)}
       136:{2,3,4,6}:{(97,1),(100,1),(183,1),(184,1),(194,1),(284,1),(295,1),(322,1),(383,1),(474,1),(518,1)}
       137:{1,3,5}:{(98,1),(114,1),(181,1),(185,1)}
       138:{1,2,4,5,7}:{(98,1),(99,1),(103,1),(115,1),(182,1),(186,1),(187,1),(190,1),(208,1),(292,1),(312,1),(386,1),(519,1),(520,1),(538,1),(543,1)}
       139:{1,4,6}:{(99,1),(100,1),(104,1),(188,1)}
       140:{2,5,6}:{(100,1),(101,1),(117,1),(188,1)}
       141:{1,4,5,6}:{(101,1),(106,1),(118,1),(189,1),(389,1)}
       142:{1,2,4}:{(102,1),(185,1)}
       143:{1,2,3,5,7}:{(102,1),(103,1),(107,1),(186,1),(190,1),(191,1),(292,1),(543,1),(544,1),(550,1)}
       144:{1,2,6}:{(103,1),(104,1)}
       145:{1,3,5,6}:{(104,1),(105,1),(109,1),(188,1),(192,1),(193,1),(294,1)}
       146:{2,4,6}:{(105,1),(106,1),(110,1),(193,1),(194,1)}
       147:{1,2,3,6,7}:{(107,1),(108,1),(191,1),(195,1),(207,1),(294,1),(316,1),(481,1)}
       148:{1,2,5,7}:{(108,1),(109,1),(192,1),(292,1),(314,1)}
       149:{1,4,5,7}:{(109,1),(110,1),(193,1),(312,1),(386,1)}
       150:{3,4,5,7}:{(110,1),(194,1),(210,1),(404,1),(458,1)}
       151:{1,2,4,6}:{(111,1),(124,1),(180,1),(198,1),(199,1),(215,1)}
       152:{2,3,6}:{(111,1),(114,1),(181,1),(198,1),(201,1)}
       153:{2,4,7}:{(111,1),(112,1),(126,1),(201,1)}
       154:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(127,1),(183,1),(202,1),(203,1),(207,1),(222,1),(303,1),(312,1),(317,1),(319,1),(325,1),(400,1),(404,1),(417,1),(475,1),(480,1)}
       155:{2,3,5,7}:{(113,1),(117,1),(184,1),(203,1),(204,1),(210,1),(314,1),(323,1),(416,1),(479,1)}
       156:{1,3,4,6}:{(114,1),(119,1),(185,1),(200,1),(205,1),(206,1),(310,1)}
       157:{1,3,7}:{(114,1),(115,1),(201,1)}
       158:{1,2,4,6,7}:{(115,1),(116,1),(121,1),(187,1),(202,1),(207,1),(208,1),(312,1),(480,1),(481,1),(520,1)}
       159:{1,5,7}:{(116,1),(117,1),(188,1)}
       160:{2,4,5,7}:{(117,1),(118,1),(123,1),(189,1),(209,1),(210,1),(314,1)}
       161:{1,2,4,5}:{(119,1),(205,1),(218,1),(292,1),(386,1)}
       162:{1,2,4,7}:{(119,1),(120,1),(206,1),(219,1),(312,1)}
       163:{1,2,3,6,7}:{(120,1),(121,1),(191,1),(207,1),(212,1),(220,1),(310,1),(544,1)}
       164:{1,2,5,6,7}:{(121,1),(122,1),(192,1),(208,1),(213,1),(221,1),(314,1),(329,1)}
       165:{1,4,6,7}:{(122,1),(123,1),(193,1),(209,1),(312,1)}
       166:{3,4,6,7}:{(123,1),(194,1),(210,1),(325,1),(404,1)}
       167:{1,3,5,6}:{(124,1),(125,1),(198,1),(215,1),(216,1),(301,1),(398,1),(411,1)}
       168:{1,2,5,7}:{(124,1),(126,1),(199,1),(216,1),(217,1)}
       169:{2,4,6}:{(125,1),(129,1),(215,1),(218,1),(219,1)}
       170:{2,3,5,7}:{(125,1),(126,1),(130,1),(201,1),(216,1),(219,1),(220,1),(323,1)}
       171:{2,6,7}:{(126,1),(127,1)}
       172:{1,3,5,6,7}:{(127,1),(128,1),(132,1),(203,1),(221,1),(222,1),(325,1),(329,1),(417,1)}
       173:{2,4,6,7}:{(128,1),(204,1),(222,1),(223,1)}
       174:{1,3,4,5}:{(129,1),(205,1),(218,1),(386,1),(458,1)}
       175:{1,3,4,7}:{(129,1),(130,1),(219,1),(312,1),(404,1)}
       176:{1,3,6,7}:{(130,1),(131,1),(220,1),(310,1),(325,1)}
       177:{1,2,5,6,7}:{(131,1),(132,1),(208,1),(221,1),(226,1),(315,1),(323,1),(481,1)}
       178:{1,4,5,6,7}:{(132,1),(133,1),(209,1),(222,1),(227,1),(412,1)}
       179:{3,5,6,7}:{(133,1),(210,1),(223,1),(325,1),(416,1)}
       180:{1,2,4,5}:{(134,1),(151,1),(228,1),(266,1),(330,1),(349,1)}
       181:{2,3,5}:{(134,1),(137,1),(152,1),(228,1),(230,1)}
       182:{2,4,5,7}:{(134,1),(135,1),(153,1),(231,1),(232,1),(254,1),(358,1),(423,1),(501,1),(527,1)}
       183:{1,3,4,6}:{(135,1),(136,1),(139,1),(232,1),(233,1),(236,1),(333,1),(340,1),(346,1),(367,1),(421,1),(424,1),(534,1)}
       184:{2,3,5,6}:{(136,1),(140,1),(155,1),(233,1),(234,1),(239,1),(342,1),(371,1),(451,1),(503,1)}
       185:{1,3,4}:{(137,1),(142,1),(230,1)}
       186:{1,3,5,7}:{(137,1),(138,1),(157,1),(231,1),(235,1),(236,1),(339,1),(535,1),(547,1)}
       187:{1,2,4,6}:{(138,1),(139,1),(144,1),(232,1),(236,1),(237,1),(340,1),(534,1),(549,1)}
       188:{1,5,6}:{(139,1),(140,1),(159,1)}
       189:{2,4,5,6}:{(140,1),(141,1),(146,1),(160,1),(238,1),(239,1),(342,1)}
       190:{1,2,4,7}:{(142,1),(143,1),(235,1),(240,1),(552,1)}
       191:{1,2,3,6}:{(143,1),(144,1),(236,1),(240,1),(549,1)}
       192:{1,2,5,6}:{(144,1),(145,1),(148,1),(242,1),(342,1)}
       193:{1,4,6}:{(145,1),(146,1),(149,1)}
       194:{3,4,6}:{(146,1),(150,1),(239,1)}
       195:{1,2,3,5,7}:{(147,1),(148,1),(241,1),(244,1),(245,1),(259,1),(364,1),(500,1),(535,1)}
       196:{1,2,4,5,7}:{(148,1),(149,1),(242,1),(244,1),(245,1),(246,1),(343,1)}
       197:{1,3,4,5,7}:{(149,1),(150,1),(243,1),(245,1),(246,1),(261,1),(363,1),(427,1)}
       198:{1,3,6}:{(151,1),(152,1),(228,1),(249,1)}
       199:{1,2,4,7}:{(151,1),(153,1),(168,1),(249,1),(267,1)}
       200:{2,3,4,6}:{(152,1),(156,1),(169,1),(230,1),(248,1),(251,1),(252,1),(356,1)}
       201:{2,3,7}:{(152,1),(153,1),(157,1),(249,1)}
       202:{2,4,6,7}:{(153,1),(154,1),(171,1),(232,1),(253,1),(254,1),(358,1),(452,1),(501,1)}
       203:{1,3,5,7}:{(154,1),(155,1),(159,1),(233,1),(254,1),(255,1),(359,1),(365,1),(368,1),(504,1)}
       204:{2,4,5,7}:{(155,1),(173,1),(234,1),(255,1),(256,1),(358,1)}
       205:{1,3,5}:{(156,1),(161,1),(251,1)}
       206:{1,3,4,7}:{(156,1),(157,1),(162,1),(252,1),(257,1)}
       207:{1,3,6,7}:{(157,1),(158,1),(236,1),(253,1),(259,1),(535,1)}
       208:{1,2,5,7}:{(158,1),(159,1),(237,1),(254,1),(259,1),(504,1)}
       209:{1,4,5,7}:{(159,1),(160,1),(165,1),(238,1),(261,1)}
       210:{3,5,7}:{(160,1),(166,1),(239,1)}
       211:{1,2,4,5,7}:{(161,1),(162,1),(257,1),(262,1),(263,1),(270,1),(362,1)}
       212:{1,2,4,6,7}:{(162,1),(163,1),(240,1),(258,1),(262,1),(263,1),(271,1),(533,1),(549,1)}
       213:{1,2,4,6,7}:{(164,1),(165,1),(242,1),(260,1),(264,1),(265,1),(273,1),(375,1),(452,1)}
       214:{1,3,4,6,7}:{(165,1),(166,1),(243,1),(261,1),(264,1),(265,1),(363,1)}
       215:{1,4,6}:{(167,1),(169,1),(266,1),(267,1)}
       216:{1,3,5,7}:{(167,1),(168,1),(170,1),(249,1),(267,1),(268,1),(368,1)}
       217:{1,2,6,7}:{(168,1),(171,1),(268,1),(434,1)}
       218:{2,4,5}:{(169,1),(174,1),(251,1),(266,1)}
       219:{2,4,7}:{(169,1),(170,1),(175,1),(267,1)}
       220:{2,3,6,7}:{(170,1),(171,1),(176,1),(268,1),(271,1),(356,1)}
       221:{2,5,6,7}:{(171,1),(172,1),(254,1),(273,1),(452,1)}
       222:{1,4,6,7}:{(172,1),(173,1),(255,1),(273,1)}
       223:{3,4,6,7}:{(173,1),(179,1),(256,1)}
       224:{1,3,4,5,7}:{(174,1),(175,1),(257,1),(270,1),(275,1),(276,1),(362,1),(442,1)}
       225:{1,3,4,6,7}:{(175,1),(176,1),(271,1),(275,1),(276,1),(277,1),(373,1)}
       226:{1,3,5,6,7}:{(176,1),(177,1),(259,1),(272,1),(276,1),(277,1),(361,1),(450,1),(504,1)}
       227:{1,3,5,6,7}:{(178,1),(179,1),(261,1),(274,1),(278,1),(448,1)}
       228:{1,3,5}:{(180,1),(181,1),(198,1),(280,1)}
       229:{1,2,4,5,7}:{(180,1),(182,1),(199,1),(281,1),(282,1),(298,1),(304,1),(318,1),(377,1),(394,1),(395,1),(400,1),(453,1),(455,1),(477,1),(512,1)}
       230:{2,3,4}:{(181,1),(185,1),(280,1)}
       231:{2,3,5,7}:{(181,1),(182,1),(186,1),(201,1),(281,1),(283,1),(284,1),(382,1),(521,1),(540,1)}
       232:{2,4,6}:{(182,1),(183,1),(284,1),(285,1)}
       233:{1,3,5,6}:{(183,1),(184,1),(188,1),(203,1),(285,1),(286,1),(384,1),(389,1),(411,1),(522,1)}
       234:{2,4,5,6}:{(184,1),(204,1),(286,1),(287,1),(383,1)}
       235:{1,3,4,7}:{(185,1),(186,1),(190,1),(283,1),(288,1),(312,1),(551,1)}
       236:{1,3,6}:{(186,1),(187,1),(284,1)}
       237:{1,2,5,6}:{(187,1),(188,1),(208,1),(285,1),(289,1),(292,1),(522,1)}
       238:{1,4,5,6}:{(188,1),(189,1),(193,1),(209,1),(291,1)}
       239:{3,5,6}:{(189,1),(194,1),(210,1)}
       240:{1,2,4,6}:{(190,1),(191,1),(288,1),(292,1)}
       241:{1,2,3,5,6}:{(191,1),(192,1),(195,1),(289,1),(292,1),(293,1),(294,1),(388,1),(390,1),(509,1),(539,1),(550,1)}
       242:{1,2,4,6}:{(192,1),(193,1),(196,1),(294,1),(295,1)}
       243:{1,3,4,6}:{(193,1),(194,1),(197,1),(291,1),(294,1),(295,1)}
       244:{1,2,4,7}:{(195,1),(293,1),(296,1),(312,1),(408,1)}
       245:{1,3,5,7}:{(196,1),(294,1),(296,1),(297,1),(390,1)}
       246:{2,4,5,7}:{(197,1),(295,1),(297,1),(298,1),(314,1),(408,1),(461,1)}
       247:{1,2,3,6}:{(198,1),(279,1),(299,1),(300,1)}
       248:{1,3,4,6}:{(198,1),(200,1),(215,1),(280,1),(299,1),(301,1),(302,1),(398,1)}
       249:{1,3,7}:{(198,1),(199,1),(201,1)}
       250:{1,2,4,6,7}:{(199,1),(202,1),(217,1),(282,1),(303,1),(304,1),(317,1),(319,1),(400,1),(410,1),(477,1)}
       251:{2,3,5}:{(200,1),(205,1),(218,1),(301,1)}
       252:{2,3,4,7}:{(200,1),(201,1),(206,1),(219,1),(302,1),(305,1)}
       253:{2,3,6,7}:{(201,1),(202,1),(207,1),(284,1),(303,1),(307,1),(325,1),(521,1)}
       254:{2,5,7}:{(202,1),(203,1),(285,1)}
       255:{1,4,5,7}:{(203,1),(204,1),(222,1),(286,1),(308,1),(312,1),(400,1)}
       256:{3,4,5,7}:{(204,1),(210,1),(223,1),(287,1),(404,1),(416,1)}
       257:{1,3,5,7}:{(205,1),(206,1),(211,1),(305,1),(310,1)}
       258:{1,3,4,6,7}:{(206,1),(207,1),(212,1),(288,1),(306,1),(310,1),(311,1),(312,1),(407,1),(480,1),(517,1),(542,1)}
       259:{1,3,5,7}:{(207,1),(208,1),(289,1),(307,1),(312,1)}
       260:{1,2,4,5,7}:{(208,1),(209,1),(213,1),(290,1),(308,1),(312,1),(313,1),(314,1),(406,1),(408,1),(476,1),(520,1)}
       261:{1,3,5,7}:{(209,1),(210,1),(214,1),(291,1),(314,1)}
       262:{1,2,4,6}:{(211,1),(310,1),(315,1),(322,1),(407,1)}
       263:{1,2,5,7}:{(212,1),(292,1),(311,1),(315,1),(323,1)}
       264:{1,3,6,7}:{(213,1),(294,1),(313,1),(316,1),(325,1)}
       265:{2,4,6,7}:{(214,1),(295,1),(314,1),(316,1),(317,1),(408,1)}
       266:{1,4,5}:{(215,1),(218,1),(301,1)}
       267:{1,4,7}:{(215,1),(216,1),(219,1)}
       268:{1,3,6,7}:{(216,1),(217,1),(220,1),(319,1),(398,1)}
       269:{1,2,5,6,7}:{(217,1),(221,1),(304,1),(320,1),(321,1),(329,1),(467,1),(479,1)}
       270:{2,4,5,7}:{(218,1),(219,1),(224,1),(305,1),(318,1),(322,1),(323,1)}
       271:{2,4,6,7}:{(219,1),(220,1),(225,1),(319,1),(322,1),(323,1)}
       272:{2,3,5,6,7}:{(220,1),(221,1),(226,1),(307,1),(320,1),(323,1),(324,1),(325,1),(402,1),(414,1),(416,1),(479,1)}
       273:{2,4,6,7}:{(221,1),(222,1),(308,1),(325,1)}
       274:{1,3,4,6,7}:{(222,1),(223,1),(227,1),(309,1),(325,1),(326,1),(417,1)}
       275:{1,3,4,6}:{(224,1),(310,1),(322,1),(327,1),(407,1),(474,1)}
       276:{1,3,5,7}:{(225,1),(323,1),(327,1),(328,1),(416,1)}
       277:{1,4,6,7}:{(226,1),(312,1),(324,1),(328,1),(407,1)}
       278:{2,5,6,7}:{(227,1),(314,1),(326,1),(329,1),(479,1)}
       279:{1,2,3,5}:{(228,1),(247,1),(330,1),(349,1)}
       280:{1,3,4}:{(228,1),(230,1),(330,1)}
       281:{1,3,5,7}:{(228,1),(229,1),(231,1),(249,1),(332,1),(333,1),(420,1),(502,1),(529,1)}
       282:{1,2,4,6}:{(229,1),(232,1),(333,1),(334,1),(346,1),(367,1),(421,1),(432,1),(434,1)}
       283:{2,3,4,7}:{(230,1),(231,1),(235,1),(332,1),(335,1),(358,1),(548,1)}
       284:{2,3,6}:{(231,1),(232,1),(236,1),(333,1)}
       285:{2,5,6}:{(232,1),(233,1),(254,1)}
       286:{1,4,5,6}:{(233,1),(234,1),(255,1),(337,1),(340,1),(421,1)}
       287:{3,4,5,6}:{(234,1),(239,1),(256,1),(424,1),(451,1)}
       288:{1,3,4,6}:{(235,1),(236,1),(240,1),(335,1),(339,1),(340,1)}
       289:{1,3,5,6}:{(236,1),(237,1),(259,1),(336,1),(339,1),(340,1)}
       290:{1,2,4,5,6}:{(237,1),(238,1),(242,1),(260,1),(337,1),(340,1),(341,1),(342,1),(343,1),(426,1),(428,1),(489,1),(526,1)}
       291:{1,3,5,6}:{(238,1),(239,1),(243,1),(261,1),(342,1)}
       292:{1,2,5}:{(240,1),(339,1)}
       293:{1,2,4,6}:{(241,1),(244,1),(340,1),(343,1),(344,1),(428,1),(552,1)}
       294:{1,3,6}:{(242,1),(245,1),(345,1)}
       295:{2,4,6}:{(243,1),(246,1),(342,1),(345,1),(346,1)}
       296:{1,3,4,7}:{(244,1),(245,1),(344,1),(347,1),(535,1)}
       297:{2,3,5,7}:{(245,1),(246,1),(345,1),(347,1),(348,1),(430,1)}
       298:{1,4,5,7}:{(246,1),(346,1),(348,1),(365,1),(445,1),(490,1)}
       299:{1,2,4,6}:{(247,1),(248,1),(330,1),(349,1),(350,1),(434,1)}
       300:{1,2,3,7}:{(247,1),(249,1),(350,1)}
       301:{1,3,5}:{(248,1),(251,1),(266,1),(349,1)}
       302:{1,3,4,7}:{(248,1),(249,1),(252,1),(267,1),(350,1),(352,1)}
       303:{1,3,6,7}:{(249,1),(250,1),(253,1),(333,1),(354,1),(502,1)}
       304:{1,2,5,7}:{(250,1),(254,1),(334,1),(354,1),(365,1),(368,1)}
       305:{2,3,5,7}:{(251,1),(252,1),(257,1),(270,1),(352,1),(356,1)}
       306:{2,3,4,6,7}:{(252,1),(253,1),(258,1),(271,1),(335,1),(353,1),(356,1),(357,1),(358,1),(373,1),(441,1),(449,1),(496,1),(531,1)}
       307:{2,3,5,7}:{(253,1),(254,1),(259,1),(336,1),(354,1),(358,1),(359,1)}
       308:{2,4,5,7}:{(254,1),(255,1),(273,1),(337,1),(358,1),(359,1)}
       309:{1,3,4,5,7}:{(255,1),(256,1),(261,1),(274,1),(338,1),(359,1),(360,1),(363,1),(439,1),(444,1),(448,1)}
       310:{1,3,6}:{(257,1),(262,1),(356,1)}
       311:{1,3,5,7}:{(258,1),(263,1),(339,1),(357,1),(361,1),(362,1),(504,1)}
       312:{1,4,7}:{(259,1),(340,1),(358,1)}
       313:{1,3,5,7}:{(260,1),(264,1),(341,1),(359,1),(363,1),(364,1),(535,1)}
       314:{2,5,7}:{(261,1),(265,1),(342,1),(365,1)}
       315:{1,2,5,6}:{(262,1),(263,1),(361,1),(371,1),(549,1)}
       316:{2,3,6,7}:{(264,1),(265,1),(345,1),(364,1),(366,1),(452,1)}
       317:{1,4,6,7}:{(265,1),(346,1),(365,1),(366,1),(445,1)}
       318:{1,4,5,7}:{(266,1),(267,1),(270,1),(352,1),(367,1),(368,1)}
       319:{1,4,6,7}:{(267,1),(268,1),(271,1),(367,1),(368,1)}
       320:{1,3,5,6,7}:{(268,1),(269,1),(272,1),(354,1),(368,1),(369,1),(370,1),(437,1),(448,1)}
       321:{1,2,4,6,7}:{(269,1),(273,1),(355,1),(369,1),(370,1),(375,1),(449,1),(452,1),(494,1)}
       322:{2,4,6}:{(270,1),(275,1),(356,1),(367,1),(371,1)}
       323:{2,5,7}:{(271,1),(276,1),(368,1),(371,1)}
       324:{2,4,6,7}:{(272,1),(277,1),(358,1),(369,1),(372,1),(373,1),(441,1)}
       325:{3,6,7}:{(273,1),(359,1)}
       326:{2,4,6,7}:{(274,1),(278,1),(360,1),(374,1),(375,1),(452,1)}
       327:{1,3,5,6}:{(275,1),(276,1),(371,1),(376,1),(451,1)}
       328:{1,4,5,7}:{(276,1),(277,1),(372,1),(376,1),(504,1)}
       329:{1,5,6,7}:{(278,1),(365,1),(375,1),(504,1)}
       330:{1,2,4}:{(279,1),(280,1)}
       331:{1,2,3,5,7}:{(279,1),(281,1),(300,1),(377,1),(378,1),(394,1),(395,1),(453,1),(466,1),(514,1)}
       332:{1,3,4,7}:{(280,1),(281,1),(283,1),(377,1),(379,1),(400,1),(541,1)}
       333:{1,3,6}:{(281,1),(282,1),(284,1)}
       334:{1,2,5,6}:{(282,1),(285,1),(304,1),(380,1),(389,1),(411,1),(453,1)}
       335:{2,3,4,6}:{(283,1),(284,1),(288,1),(379,1),(382,1),(383,1)}
       336:{2,3,5,6}:{(284,1),(285,1),(289,1),(307,1),(380,1),(382,1),(383,1),(384,1)}
       337:{2,4,5,6}:{(285,1),(286,1),(308,1),(383,1),(384,1)}
       338:{1,3,4,5,6}:{(286,1),(287,1),(291,1),(309,1),(384,1),(385,1),(387,1),(456,1),(460,1),(478,1)}
       339:{1,3,5}:{(288,1),(292,1),(382,1),(386,1)}
       340:{1,4,6}:{(289,1),(312,1),(383,1),(386,1)}
       341:{1,3,5,6}:{(290,1),(294,1),(313,1),(384,1),(387,1),(388,1),(390,1),(539,1)}
       342:{2,5,6}:{(291,1),(295,1),(314,1),(389,1)}
       343:{1,2,4,5}:{(292,1),(293,1),(386,1),(390,1),(461,1)}
       344:{1,3,4,6}:{(293,1),(294,1),(296,1),(390,1),(391,1),(539,1),(551,1)}
       345:{2,3,6}:{(294,1),(295,1),(297,1),(392,1)}
       346:{1,4,6}:{(295,1),(298,1),(389,1),(392,1)}
       347:{2,3,4,7}:{(296,1),(297,1),(391,1),(393,1),(408,1),(521,1)}
       348:{1,3,5,7}:{(297,1),(298,1),(392,1),(393,1),(394,1),(464,1)}
       349:{1,2,5}:{(299,1),(301,1)}
       350:{1,2,4,7}:{(299,1),(300,1),(302,1),(395,1)}
       351:{1,2,3,6,7}:{(300,1),(303,1),(378,1),(396,1),(397,1),(410,1),(414,1),(515,1)}
       352:{1,3,5,7}:{(301,1),(302,1),(305,1),(318,1),(395,1),(398,1)}
       353:{1,3,4,6,7}:{(302,1),(303,1),(306,1),(319,1),(379,1),(396,1),(398,1),(399,1),(400,1),(469,1),(470,1),(515,1)}
       354:{1,3,5,7}:{(303,1),(304,1),(307,1),(380,1),(400,1)}
       355:{1,2,4,5,7}:{(304,1),(308,1),(321,1),(381,1),(400,1),(401,1),(406,1),(412,1),(472,1),(476,1),(477,1),(479,1)}
       356:{2,3,6}:{(305,1),(310,1),(322,1),(398,1)}
       357:{2,3,5,7}:{(306,1),(311,1),(323,1),(382,1),(399,1),(402,1),(403,1),(416,1),(479,1)}
       358:{2,4,7}:{(307,1),(312,1),(383,1),(400,1),(404,1)}
       359:{3,5,7}:{(308,1),(325,1),(384,1),(404,1)}
       360:{2,4,5,7}:{(309,1),(314,1),(326,1),(385,1),(405,1),(406,1),(408,1),(472,1),(476,1),(479,1)}
       361:{1,3,5,6}:{(310,1),(311,1),(315,1),(402,1),(407,1),(522,1),(542,1)}
       362:{1,4,5,7}:{(311,1),(312,1),(386,1),(403,1),(407,1)}
       363:{1,3,4,7}:{(312,1),(313,1),(387,1),(404,1),(408,1)}
       364:{2,3,5,7}:{(313,1),(314,1),(316,1),(388,1),(408,1),(409,1),(476,1),(521,1)}
       365:{1,5,7}:{(314,1),(317,1),(389,1)}
       366:{1,3,6,7}:{(316,1),(317,1),(392,1),(409,1),(410,1)}
       367:{1,4,6}:{(318,1),(322,1),(398,1),(411,1)}
       368:{1,5,7}:{(319,1),(323,1),(411,1)}
       369:{1,4,6,7}:{(320,1),(324,1),(400,1),(412,1),(470,1)}
       370:{1,3,6,7}:{(321,1),(325,1),(401,1),(414,1),(515,1)}
       371:{2,5,6}:{(322,1),(323,1),(327,1),(411,1)}
       372:{2,4,5,7}:{(323,1),(324,1),(328,1),(412,1),(415,1),(416,1),(479,1)}
       373:{3,4,6,7}:{(324,1),(325,1),(404,1),(416,1),(474,1)}
       374:{2,3,6,7}:{(325,1),(326,1),(405,1),(417,1)}
       375:{1,4,6,7}:{(326,1),(329,1),(406,1),(417,1)}
       376:{1,4,5,6}:{(327,1),(328,1),(407,1),(415,1),(522,1)}
       377:{1,2,4,7}:{(330,1),(331,1),(332,1),(418,1),(530,1)}
       378:{1,2,3,6}:{(331,1),(333,1),(418,1),(432,1),(434,1)}
       379:{1,3,4,6}:{(332,1),(333,1),(335,1),(418,1),(420,1),(421,1)}
       380:{1,3,5,6}:{(333,1),(334,1),(336,1),(354,1),(420,1),(421,1)}
       381:{1,2,4,5,6}:{(334,1),(337,1),(355,1),(421,1),(422,1),(426,1),(447,1),(482,1),(485,1),(489,1),(491,1),(494,1),(503,1)}
       382:{2,3,5}:{(335,1),(339,1),(420,1),(423,1)}
       383:{2,4,6}:{(336,1),(340,1),(358,1),(421,1),(423,1),(424,1)}
       384:{3,5,6}:{(337,1),(359,1),(424,1)}
       385:{2,4,5,6}:{(338,1),(342,1),(360,1),(425,1),(426,1),(428,1),(485,1),(489,1),(503,1)}
       386:{1,4,5}:{(339,1),(340,1),(423,1)}
       387:{1,3,4,6}:{(340,1),(341,1),(363,1),(424,1),(427,1),(428,1)}
       388:{2,3,5,6}:{(341,1),(342,1),(345,1),(364,1),(428,1),(429,1),(430,1),(489,1),(528,1)}
       389:{1,5,6}:{(342,1),(346,1),(365,1)}
       390:{1,3,5}:{(343,1),(344,1),(430,1)}
       391:{2,3,4,6}:{(344,1),(345,1),(347,1),(428,1),(430,1),(431,1),(528,1),(548,1)}
       392:{1,3,6}:{(345,1),(346,1),(348,1),(432,1)}
       393:{1,3,4,7}:{(347,1),(348,1),(431,1),(433,1),(445,1),(502,1)}
       394:{1,2,5,7}:{(348,1),(432,1),(433,1),(492,1)}
       395:{1,2,5,7}:{(349,1),(350,1),(352,1),(434,1)}
       396:{1,2,4,6,7}:{(350,1),(351,1),(353,1),(418,1),(434,1),(435,1),(436,1),(449,1),(494,1)}
       397:{1,2,3,5,7}:{(351,1),(354,1),(419,1),(435,1),(436,1),(440,1),(446,1),(495,1),(502,1)}
       398:{1,3,6}:{(352,1),(356,1),(367,1),(434,1)}
       399:{1,3,5,7}:{(353,1),(357,1),(368,1),(420,1),(435,1),(437,1),(438,1)}
       400:{1,4,7}:{(354,1),(358,1),(421,1)}
       401:{1,3,5,7}:{(355,1),(359,1),(370,1),(422,1),(439,1),(440,1),(502,1)}
       402:{2,3,5,6}:{(356,1),(357,1),(361,1),(371,1),(437,1),(441,1),(451,1),(503,1),(531,1)}
       403:{2,4,5,7}:{(357,1),(358,1),(362,1),(423,1),(438,1),(441,1),(442,1)}
       404:{3,4,7}:{(358,1),(359,1),(424,1)}
       405:{2,3,5,7}:{(359,1),(360,1),(374,1),(425,1),(443,1),(444,1)}
       406:{1,4,5,7}:{(360,1),(365,1),(375,1),(426,1),(444,1),(445,1),(499,1),(504,1)}
       407:{1,4,6}:{(361,1),(362,1),(441,1)}
       408:{2,4,7}:{(363,1),(364,1),(428,1),(445,1)}
       409:{1,3,5,7}:{(364,1),(365,1),(366,1),(429,1),(445,1),(446,1),(502,1)}
       410:{1,2,6,7}:{(366,1),(432,1),(446,1),(452,1)}
       411:{1,5,6}:{(367,1),(368,1),(371,1)}
       412:{1,4,5,7}:{(368,1),(369,1),(372,1),(447,1),(448,1)}
       413:{1,3,4,6,7}:{(369,1),(370,1),(373,1),(439,1),(448,1),(449,1),(497,1)}
       414:{2,3,6,7}:{(370,1),(440,1),(449,1),(450,1),(452,1),(531,1)}
       415:{2,4,5,6}:{(371,1),(372,1),(376,1),(441,1),(447,1),(451,1),(503,1)}
       416:{3,5,7}:{(372,1),(373,1),(451,1)}
       417:{1,3,6,7}:{(374,1),(375,1),(444,1),(452,1)}
       418:{1,2,4,6}:{(377,1),(378,1),(379,1),(453,1)}
       419:{1,2,3,5,6}:{(378,1),(380,1),(397,1),(453,1),(454,1),(457,1),(463,1),(467,1),(505,1),(513,1),(514,1),(515,1)}
       420:{1,3,5}:{(379,1),(382,1),(453,1),(455,1)}
       421:{1,4,6}:{(380,1),(383,1),(400,1),(455,1)}
       422:{1,3,5,6}:{(381,1),(384,1),(401,1),(456,1),(457,1),(505,1),(513,1),(515,1)}
       423:{2,4,5}:{(382,1),(383,1),(386,1),(455,1),(458,1)}
       424:{3,4,6}:{(383,1),(384,1),(404,1),(458,1)}
       425:{2,3,5,6}:{(384,1),(385,1),(405,1),(459,1),(460,1)}
       426:{1,4,5,6}:{(385,1),(389,1),(406,1),(460,1),(462,1),(508,1),(522,1)}
       427:{1,3,4,5}:{(386,1),(387,1),(390,1),(458,1),(461,1)}
       428:{2,4,6}:{(387,1),(388,1),(408,1),(461,1),(462,1)}
       429:{1,3,5,6}:{(388,1),(389,1),(392,1),(409,1),(462,1),(463,1),(464,1),(513,1)}
       430:{2,3,5}:{(390,1),(391,1),(461,1),(464,1)}
       431:{1,3,4,6}:{(391,1),(392,1),(393,1),(462,1),(464,1),(465,1),(513,1),(541,1)}
       432:{1,2,6}:{(392,1),(394,1)}
       433:{1,2,4,7}:{(393,1),(394,1),(465,1),(466,1)}
       434:{1,2,6}:{(395,1),(398,1)}
       435:{1,2,5,7}:{(396,1),(399,1),(453,1),(467,1),(479,1)}
       436:{1,2,4,7}:{(397,1),(400,1),(454,1),(469,1),(472,1)}
       437:{1,3,5,6}:{(398,1),(399,1),(402,1),(411,1),(467,1),(470,1),(515,1)}
       438:{1,4,5,7}:{(399,1),(400,1),(403,1),(455,1),(470,1)}
       439:{1,3,4,7}:{(400,1),(401,1),(404,1),(456,1),(472,1)}
       440:{2,3,5,7}:{(401,1),(414,1),(457,1),(472,1),(473,1),(476,1),(479,1),(521,1)}
       441:{2,4,6}:{(402,1),(403,1),(407,1),(470,1),(474,1)}
       442:{3,4,5,7}:{(403,1),(404,1),(416,1),(458,1),(474,1)}
       443:{2,3,4,7}:{(404,1),(405,1),(408,1),(459,1),(472,1),(475,1),(521,1)}
       444:{1,3,5,7}:{(405,1),(406,1),(417,1),(460,1),(475,1),(476,1)}
       445:{1,4,7}:{(408,1),(409,1),(462,1)}
       446:{1,2,5,7}:{(409,1),(410,1),(463,1),(476,1),(477,1)}
       447:{1,4,5,6}:{(411,1),(412,1),(415,1),(470,1),(478,1)}
       448:{1,3,5,7}:{(412,1),(413,1),(416,1),(478,1),(479,1)}
       449:{2,4,6,7}:{(413,1),(414,1),(472,1),(479,1),(480,1),(518,1)}
       450:{1,3,6,7}:{(414,1),(473,1),(480,1),(481,1),(542,1)}
       451:{3,5,6}:{(415,1),(416,1),(474,1)}
       452:{2,6,7}:{(417,1),(476,1)}
       453:{1,2,5}:{(418,1),(420,1)}
       454:{1,2,4,6}:{(419,1),(421,1),(436,1),(482,1),(483,1),(485,1),(530,1)}
       455:{1,4,5}:{(420,1),(421,1),(423,1)}
       456:{1,3,4,6}:{(421,1),(422,1),(424,1),(439,1),(484,1),(485,1)}
       457:{2,3,5,6}:{(422,1),(440,1),(485,1),(486,1),(489,1),(503,1),(523,1),(528,1),(531,1)}
       458:{3,4,5}:{(423,1),(424,1)}
       459:{2,3,4,6}:{(424,1),(425,1),(428,1),(443,1),(485,1),(487,1),(488,1),(528,1)}
       460:{1,3,5,6}:{(425,1),(426,1),(444,1),(488,1),(489,1)}
       461:{2,4,5}:{(427,1),(428,1),(430,1),(490,1)}
       462:{1,4,6}:{(428,1),(429,1),(445,1),(490,1)}
       463:{1,2,5,6}:{(429,1),(432,1),(446,1),(489,1),(491,1),(492,1)}
       464:{1,3,5}:{(430,1),(431,1),(490,1),(492,1)}
       465:{1,2,4,6}:{(431,1),(432,1),(433,1),(492,1),(493,1),(530,1)}
       466:{1,2,3,7}:{(433,1),(493,1),(502,1)}
       467:{1,2,5,6}:{(434,1),(435,1),(437,1),(494,1),(503,1)}
       468:{1,2,4,5,7}:{(435,1),(436,1),(438,1),(482,1),(494,1),(495,1),(498,1)}
       469:{1,3,4,7}:{(436,1),(483,1),(495,1),(496,1),(502,1)}
       470:{1,4,6}:{(437,1),(438,1),(441,1)}
       471:{1,3,4,5,7}:{(438,1),(439,1),(442,1),(448,1),(484,1),(495,1),(497,1),(498,1)}
       472:{2,4,7}:{(439,1),(440,1),(485,1),(499,1)}
       473:{1,3,5,7}:{(440,1),(450,1),(486,1),(499,1),(500,1),(504,1),(535,1)}
       474:{3,4,6}:{(441,1),(442,1),(451,1)}
       475:{1,3,4,7}:{(443,1),(444,1),(445,1),(488,1),(499,1),(501,1),(502,1),(535,1)}
       476:{2,5,7}:{(444,1),(452,1),(489,1),(501,1)}
       477:{1,2,4,7}:{(445,1),(446,1),(491,1),(501,1),(502,1)}
       478:{1,3,5,6}:{(447,1),(448,1),(451,1),(497,1),(503,1)}
       479:{2,5,7}:{(448,1),(449,1),(503,1),(504,1)}
       480:{1,4,6,7}:{(449,1),(450,1),(499,1),(504,1),(534,1)}
       481:{1,2,6,7}:{(450,1),(452,1),(500,1),(549,1)}
       482:{1,2,4,5}:{(453,1),(454,1),(455,1),(505,1),(507,1)}
       483:{1,3,4,6}:{(454,1),(469,1),(505,1),(506,1),(513,1),(515,1),(541,1)}
       484:{1,3,4,5}:{(455,1),(456,1),(458,1),(505,1),(507,1)}
       485:{2,4,6}:{(456,1),(457,1),(472,1),(507,1),(508,1)}
       486:{1,3,5,6}:{(457,1),(473,1),(508,1),(509,1),(522,1),(536,1),(539,1),(542,1)}
       487:{2,3,4,5}:{(458,1),(459,1),(461,1),(507,1),(510,1),(540,1)}
       488:{1,3,4,6}:{(459,1),(460,1),(462,1),(475,1),(508,1),(510,1),(511,1),(513,1),(539,1)}
       489:{2,5,6}:{(460,1),(476,1),(511,1)}
       490:{1,4,5}:{(461,1),(462,1),(464,1)}
       491:{1,2,4,6}:{(462,1),(463,1),(477,1),(511,1),(512,1),(513,1)}
       492:{1,2,5}:{(464,1),(465,1)}
       493:{1,2,3,6}:{(465,1),(466,1),(513,1),(514,1)}
       494:{1,2,4,6}:{(467,1),(468,1),(470,1),(515,1),(518,1)}
       495:{1,3,5,7}:{(468,1),(469,1),(505,1),(515,1),(516,1)}
       496:{2,3,4,7}:{(469,1),(472,1),(506,1),(516,1),(517,1),(521,1)}
       497:{1,3,4,6}:{(470,1),(471,1),(474,1),(478,1),(515,1),(518,1)}
       498:{2,4,5,7}:{(471,1),(472,1),(479,1),(507,1),(516,1),(518,1),(519,1)}
       499:{1,4,7}:{(472,1),(473,1),(508,1)}
       500:{1,2,5,7}:{(473,1),(476,1),(481,1),(509,1),(520,1)}
       501:{2,4,7}:{(475,1),(476,1),(511,1),(521,1)}
       502:{1,3,7}:{(477,1),(513,1),(521,1)}
       503:{2,5,6}:{(478,1),(479,1),(518,1),(522,1)}
       504:{1,5,7}:{(479,1),(480,1),(522,1)}
       505:{1,3,5}:{(482,1),(483,1),(523,1)}
       506:{2,3,4,6}:{(483,1),(485,1),(496,1),(523,1),(524,1),(528,1),(531,1),(548,1)}
       507:{2,4,5}:{(484,1),(485,1),(523,1),(525,1)}
       508:{1,4,6}:{(485,1),(486,1),(499,1),(525,1)}
       509:{1,2,5,6}:{(486,1),(489,1),(500,1),(526,1),(545,1),(549,1)}
       510:{1,3,4,5}:{(487,1),(488,1),(490,1),(525,1),(527,1),(529,1),(547,1)}
       511:{2,4,6}:{(488,1),(489,1),(501,1),(527,1),(528,1)}
       512:{1,2,4,5}:{(490,1),(491,1),(492,1),(527,1),(529,1),(530,1)}
       513:{1,3,6}:{(491,1),(502,1),(528,1),(529,1)}
       514:{1,2,3,5}:{(492,1),(493,1),(529,1),(530,1)}
       515:{1,3,6}:{(494,1),(495,1),(531,1)}
       516:{2,3,5,7}:{(495,1),(496,1),(498,1),(523,1),(531,1),(532,1)}
       517:{1,3,4,7}:{(496,1),(499,1),(524,1),(532,1),(533,1),(535,1)}
       518:{2,4,6}:{(497,1),(498,1),(503,1),(531,1),(534,1)}
       519:{1,4,5,7}:{(498,1),(499,1),(504,1),(525,1),(532,1),(534,1)}
       520:{1,2,4,7}:{(499,1),(500,1),(501,1),(526,1),(535,1)}
       521:{2,3,7}:{(501,1),(502,1),(528,1),(535,1)}
       522:{1,5,6}:{(503,1),(504,1),(534,1)}
       523:{2,3,5}:{(505,1),(506,1),(507,1),(536,1)}
       524:{1,3,4,6}:{(506,1),(508,1),(517,1),(536,1),(537,1),(539,1),(542,1),(551,1)}
       525:{1,4,5}:{(507,1),(508,1),(536,1)}
       526:{1,2,4,6}:{(508,1),(509,1),(511,1),(520,1),(538,1),(539,1)}
       527:{2,4,5}:{(510,1),(511,1),(540,1)}
       528:{2,3,6}:{(511,1),(513,1),(521,1),(539,1),(540,1)}
       529:{1,3,5}:{(512,1),(513,1),(540,1),(541,1)}
       530:{1,2,4}:{(514,1),(541,1)}
       531:{2,3,6}:{(515,1),(516,1),(518,1),(542,1)}
       532:{1,3,5,7}:{(516,1),(517,1),(519,1),(536,1),(542,1),(543,1)}
       533:{1,2,4,7}:{(517,1),(537,1),(543,1),(544,1)}
       534:{1,4,6}:{(518,1),(519,1),(522,1),(542,1)}
       535:{1,3,7}:{(520,1),(521,1),(539,1)}
       536:{1,3,5}:{(523,1),(524,1),(525,1),(545,1)}
       537:{1,2,4,6}:{(524,1),(533,1),(545,1),(546,1),(549,1),(552,1)}
       538:{1,2,4,5}:{(525,1),(526,1),(527,1),(545,1),(547,1),(552,1)}
       539:{1,3,6}:{(526,1),(528,1),(535,1),(547,1)}
       540:{2,3,5}:{(527,1),(528,1),(529,1),(547,1),(548,1)}
       541:{1,3,4}:{(529,1),(530,1),(548,1)}
       542:{1,3,6}:{(531,1),(532,1),(534,1),(549,1)}
       543:{1,2,5,7}:{(532,1),(533,1),(545,1),(549,1)}
       544:{1,2,3,7}:{(533,1),(535,1),(546,1)}
       545:{1,2,5}:{(536,1),(537,1)}
       546:{1,2,3,6}:{(537,1),(539,1),(544,1),(550,1)}
       547:{1,3,5}:{(538,1),(539,1),(540,1),(551,1)}
       548:{2,3,4}:{(540,1),(541,1),(551,1)}
       549:{1,2,6}:{(542,1),(543,1)}
       550:{1,2,3,5}:{(545,1),(546,1),(547,1),(552,1)}
       551:{1,3,4}:{(547,1),(548,1),(552,1)}
       552:{1,2,4}:{(550,1),(551,1)}

1783 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(21,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(21,1),(23,1),(50,1),(53,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(28,1),(50,1),(53,1),(81,1),(84,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(10,1),(123,1)}
         4:{1,2,3,6}:{(0,1),(10,1),(13,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(34,1)}
         6:{1,2,4,6}:{(1,1),(13,1),(14,1),(17,1),(40,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(16,1),(17,1),(43,1),(66,1),(69,1)}
         8:{1,3,4,6}:{(2,1),(13,1),(17,1),(18,1),(40,1),(72,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(19,1),(20,1),(53,1),(119,1)}
        10:{1,2,4,6}:{(3,1),(4,1),(20,1),(21,1),(120,1),(124,1)}
        11:{1,2,4,6,7}:{(6,1),(22,1),(23,1),(27,1),(53,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(19,1),(24,1),(25,1),(49,1)}
        13:{1,3,6}:{(5,1),(6,1),(25,1)}
        14:{1,2,5,6}:{(6,1),(21,1),(23,1),(26,1),(30,1),(120,1)}
        15:{1,3,4,6,7}:{(8,1),(22,1),(27,1),(28,1),(53,1),(58,1),(84,1),(88,1)}
        16:{1,4,5,7}:{(7,1),(24,1),(29,1),(59,1),(80,1),(83,1)}
        17:{2,4,6}:{(7,1),(8,1),(25,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1)}
        19:{2,3,4,7}:{(9,1),(12,1),(32,1),(33,1),(69,1),(113,1)}
        20:{1,3,4,6}:{(9,1),(10,1),(13,1),(33,1),(34,1),(40,1),(115,1),(121,1)}
        21:{1,2,5}:{(10,1),(34,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(116,1)}
        23:{1,2,5,7}:{(11,1),(14,1),(36,1),(43,1),(123,1)}
        24:{1,3,5,7}:{(12,1),(16,1),(32,1),(37,1),(38,1),(65,1)}
        25:{2,3,6}:{(12,1),(13,1),(17,1),(38,1)}
        26:{1,3,5,6}:{(13,1),(14,1),(34,1),(36,1),(39,1),(40,1),(100,1),(115,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(35,1),(42,1),(43,1),(69,1)}
        28:{1,3,5,7}:{(15,1),(18,1),(43,1),(44,1),(76,1)}
        29:{1,4,6}:{(16,1),(17,1),(38,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(43,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(40,1),(44,1),(46,1),(100,1)}
        32:{1,3,4,7}:{(19,1),(24,1),(47,1),(48,1),(83,1),(104,1)}
        33:{2,3,4,6}:{(19,1),(20,1),(25,1),(48,1),(49,1),(56,1),(106,1),(117,1)}
        34:{1,3,5}:{(20,1),(21,1),(49,1),(50,1)}
        35:{2,3,6,7}:{(22,1),(25,1),(27,1),(51,1),(52,1),(88,1),(108,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(26,1),(52,1),(53,1),(109,1),(119,1)}
        37:{1,2,5,7}:{(24,1),(47,1),(54,1),(79,1)}
        38:{1,3,6}:{(24,1),(25,1),(29,1),(54,1)}
        39:{2,3,5,6}:{(25,1),(26,1),(30,1),(49,1),(52,1),(55,1),(56,1),(62,1),(90,1),(106,1)}
        40:{1,4,6}:{(26,1),(50,1),(53,1),(56,1)}
        41:{1,3,5,6,7}:{(28,1),(57,1),(58,1),(88,1)}
        42:{1,4,6,7}:{(27,1),(29,1),(51,1),(59,1),(83,1)}
        43:{2,5,7}:{(27,1),(28,1),(30,1),(59,1)}
        44:{1,4,5,7}:{(28,1),(31,1),(53,1),(58,1),(60,1),(109,1)}
        45:{1,5,6}:{(29,1),(30,1),(59,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(56,1),(60,1),(61,1),(62,1),(90,1)}
        47:{1,2,4,7}:{(32,1),(37,1),(63,1),(64,1)}
        48:{1,3,4,6}:{(32,1),(33,1),(38,1),(64,1),(65,1),(71,1),(96,1),(110,1)}
        49:{2,3,5}:{(33,1),(34,1),(65,1),(66,1)}
        50:{1,4,5}:{(34,1),(40,1),(66,1)}
        51:{1,3,6,7}:{(35,1),(38,1),(42,1),(67,1),(68,1)}
        52:{2,3,5,7}:{(35,1),(36,1),(39,1),(43,1),(68,1),(69,1),(76,1),(99,1),(113,1)}
        53:{1,4,7}:{(36,1),(40,1),(69,1)}
        54:{1,2,6}:{(37,1),(38,1)}
        55:{1,3,5,6}:{(38,1),(39,1),(45,1),(65,1),(68,1),(70,1),(71,1),(96,1)}
        56:{2,4,6}:{(39,1),(40,1),(66,1),(69,1),(71,1),(72,1)}
        57:{2,5,6,7}:{(41,1),(43,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(44,1),(74,1),(116,1)}
        59:{1,5,7}:{(42,1),(43,1),(45,1)}
        60:{2,4,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(75,1),(76,1),(99,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(71,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(72,1),(76,1)}
        63:{1,2,3,7}:{(47,1),(78,1),(104,1)}
        64:{1,2,4,6}:{(47,1),(48,1),(54,1),(78,1),(79,1),(101,1)}
        65:{1,3,5}:{(48,1),(49,1),(79,1),(80,1)}
        66:{2,4,5}:{(49,1),(50,1),(56,1),(80,1),(81,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(108,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(55,1),(59,1),(82,1),(83,1),(104,1)}
        69:{2,4,7}:{(52,1),(53,1),(56,1),(83,1),(84,1)}
        70:{1,2,5,6}:{(54,1),(55,1),(79,1),(82,1),(85,1),(90,1)}
        71:{1,4,6}:{(55,1),(56,1),(80,1),(83,1)}
        72:{3,4,6}:{(56,1),(62,1),(81,1),(84,1)}
        73:{1,5,6,7}:{(57,1),(59,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(60,1),(87,1),(88,1),(108,1)}
        75:{1,4,5,7}:{(59,1),(60,1),(61,1),(83,1),(87,1),(89,1)}
        76:{3,5,7}:{(60,1),(62,1),(84,1),(88,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(86,1),(89,1),(90,1)}
        78:{1,2,3,6}:{(63,1),(64,1),(91,1),(96,1)}
        79:{1,2,5}:{(64,1),(65,1)}
        80:{1,4,5}:{(65,1),(66,1),(71,1)}
        81:{3,4,5}:{(66,1),(72,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(70,1),(94,1),(99,1)}
        83:{1,4,7}:{(68,1),(69,1),(71,1)}
        84:{3,4,7}:{(69,1),(72,1),(76,1)}
        85:{1,2,4,6}:{(70,1),(71,1),(92,1),(94,1),(96,1),(97,1)}
        86:{1,3,4,6}:{(71,1),(72,1),(77,1),(93,1),(95,1),(96,1),(97,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(75,1),(98,1)}
        88:{3,6,7}:{(74,1),(76,1)}
        89:{1,3,5,7}:{(75,1),(76,1),(77,1),(95,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(97,1),(99,1),(100,1)}
        91:{1,2,3,5}:{(78,1),(79,1),(101,1),(102,1)}
        92:{1,2,4,5}:{(79,1),(80,1),(85,1),(101,1),(102,1),(103,1)}
        93:{1,3,4,5}:{(80,1),(81,1),(86,1),(102,1),(103,1)}
        94:{1,2,4,7}:{(82,1),(83,1),(85,1),(104,1),(105,1)}
        95:{1,3,4,7}:{(83,1),(84,1),(86,1),(89,1),(104,1),(105,1)}
        96:{1,3,6}:{(85,1),(102,1),(104,1),(106,1)}
        97:{2,4,6}:{(86,1),(90,1),(103,1),(105,1),(106,1),(107,1)}
        98:{1,3,6,7}:{(87,1),(88,1),(89,1),(108,1)}
        99:{2,5,7}:{(89,1),(90,1),(105,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(107,1),(109,1)}
       101:{1,2,4}:{(91,1),(110,1)}
       102:{1,3,5}:{(92,1),(96,1),(110,1),(111,1)}
       103:{2,4,5}:{(93,1),(97,1),(111,1),(112,1)}
       104:{1,3,7}:{(94,1),(96,1),(113,1)}
       105:{2,4,7}:{(95,1),(97,1),(99,1),(113,1),(114,1)}
       106:{2,3,6}:{(96,1),(97,1),(111,1),(113,1),(115,1)}
       107:{1,4,6}:{(97,1),(100,1),(112,1),(114,1),(115,1)}
       108:{2,6,7}:{(98,1),(99,1),(116,1)}
       109:{1,5,7}:{(99,1),(100,1),(114,1),(116,1)}
       110:{1,3,4}:{(101,1),(102,1),(117,1)}
       111:{2,3,5}:{(102,1),(103,1),(106,1),(117,1),(118,1)}
       112:{1,4,5}:{(103,1),(107,1),(118,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(119,1)}
       114:{1,4,7}:{(105,1),(107,1),(109,1),(119,1)}
       115:{1,3,6}:{(106,1),(107,1),(118,1),(119,1),(120,1)}
       116:{1,6,7}:{(108,1),(109,1)}
       117:{2,3,4}:{(110,1),(111,1),(121,1)}
       118:{1,3,5}:{(111,1),(112,1),(115,1),(121,1),(122,1)}
       119:{1,3,7}:{(113,1),(114,1),(115,1),(123,1)}
       120:{1,2,6}:{(115,1),(122,1),(123,1)}
       121:{1,3,4}:{(117,1),(118,1),(124,1)}
       122:{1,2,5}:{(118,1),(120,1),(124,1)}
       123:{1,2,7}:{(119,1),(120,1)}
       124:{1,2,4}:{(121,1),(122,1),(125,1)}
       125:{1,2,3}:{(124,1)}

1784 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(16,1),(121,1),(124,1),(202,1),(203,1),(205,1),(213,1),(274,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(27,1),(31,1),(95,1),(97,1),(149,1),(151,1),(161,1),(164,1),(247,1),(249,1),(256,1),(311,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(34,1),(89,1),(245,1),(255,1),(310,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(39,1),(45,1),(95,1),(97,1),(311,1),(312,1),(313,1),(361,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(45,1),(361,1),(362,1),(363,1)}
         5:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(53,1),(54,1),(121,1),(198,1),(199,1),(203,1),(210,1),(271,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(55,1),(121,1),(124,1),(288,1),(289,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(22,1),(50,1),(67,1),(113,1),(125,1),(294,1),(342,1)}
         8:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(282,1),(291,1),(339,1)}
         9:{1,3,5,7}:{(3,1),(16,1),(21,1),(22,1),(66,1),(344,1),(345,1)}
        10:{1,2,4,6}:{(3,1),(17,1),(22,1),(23,1),(67,1),(342,1),(381,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(25,1),(383,1)}
        12:{1,2,3,6}:{(4,1),(22,1),(25,1),(381,1)}
        13:{1,2,4,5,7}:{(6,1),(27,1),(28,1),(73,1),(76,1),(144,1),(149,1),(151,1),(256,1),(257,1),(258,1),(261,1)}
        14:{1,3,4,6,7}:{(5,1),(7,1),(30,1),(31,1),(38,1),(75,1),(82,1),(95,1),(149,1),(157,1),(161,1),(244,1),(247,1),(253,1),(308,1)}
        15:{2,3,5,7}:{(5,1),(8,1),(31,1),(32,1),(242,1),(252,1),(307,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(27,1),(33,1),(34,1),(88,1),(324,1),(325,1)}
        17:{2,4,6}:{(6,1),(7,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(31,1),(35,1),(36,1),(90,1),(326,1),(364,1)}
        19:{2,4,5,6}:{(8,1),(32,1),(36,1),(37,1),(89,1)}
        20:{1,2,4,6,7}:{(10,1),(30,1),(38,1),(39,1),(95,1),(308,1),(309,1),(312,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(33,1),(40,1),(95,1),(369,1)}
        22:{1,3,6}:{(9,1),(10,1),(34,1)}
        23:{1,2,5,6}:{(10,1),(35,1),(39,1),(41,1),(45,1),(364,1)}
        24:{1,2,3,6,7}:{(12,1),(38,1),(43,1),(44,1),(169,1),(177,1),(309,1),(362,1),(366,1),(395,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(99,1),(100,1),(103,1),(177,1),(237,1),(314,1),(363,1),(395,1),(397,1),(410,1)}
        27:{1,3,5,7}:{(13,1),(16,1),(49,1),(50,1),(112,1),(296,1),(297,1)}
        28:{1,2,4,6}:{(13,1),(17,1),(50,1),(51,1),(113,1),(294,1),(298,1)}
        29:{2,3,5,6,7}:{(15,1),(52,1),(53,1),(116,1),(196,1),(199,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(54,1),(55,1),(121,1),(285,1),(288,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(18,1),(55,1),(56,1),(122,1),(292,1),(340,1)}
        32:{2,4,5,7}:{(15,1),(19,1),(53,1),(56,1),(57,1),(121,1)}
        33:{2,3,4,7}:{(16,1),(21,1),(49,1),(58,1),(121,1),(354,1)}
        34:{2,3,6}:{(16,1),(17,1),(22,1),(50,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{1,4,5,6}:{(18,1),(19,1),(56,1),(60,1),(67,1),(113,1)}
        37:{3,4,5,6}:{(19,1),(57,1),(125,1),(282,1)}
        38:{1,3,6,7}:{(20,1),(22,1),(54,1),(64,1),(344,1)}
        39:{1,2,5,7}:{(20,1),(23,1),(55,1),(64,1),(340,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(25,1),(58,1),(66,1),(67,1)}
        41:{1,3,5,6}:{(22,1),(23,1),(59,1),(64,1),(66,1),(67,1)}
        42:{1,2,4,5,6}:{(23,1),(60,1),(65,1),(67,1),(68,1),(71,1),(127,1),(135,1),(137,1),(207,1),(208,1),(278,1),(291,1),(384,1),(388,1),(406,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(63,1),(69,1),(70,1),(137,1),(210,1),(336,1),(381,1),(405,1)}
        44:{1,2,3,5,7}:{(24,1),(26,1),(64,1),(69,1),(70,1),(133,1),(138,1),(276,1),(344,1),(385,1)}
        45:{1,2,5}:{(25,1),(66,1)}
        46:{1,2,4,6}:{(26,1),(67,1),(70,1),(71,1),(72,1),(135,1),(383,1),(406,1)}
        47:{1,2,3,5,7}:{(27,1),(73,1),(74,1),(144,1),(261,1),(262,1),(263,1)}
        48:{1,2,4,6,7}:{(28,1),(30,1),(75,1),(76,1),(149,1),(253,1),(254,1),(257,1)}
        49:{1,3,4,7}:{(27,1),(33,1),(73,1),(77,1),(149,1),(331,1)}
        50:{1,3,6}:{(27,1),(28,1),(34,1)}
        51:{1,2,5,6}:{(28,1),(35,1),(76,1),(78,1),(144,1),(326,1)}
        52:{1,3,5,6,7}:{(29,1),(31,1),(81,1),(82,1),(157,1),(240,1),(244,1)}
        53:{2,4,6,7}:{(29,1),(32,1),(82,1),(83,1)}
        54:{2,3,6,7}:{(30,1),(34,1),(38,1),(75,1),(85,1),(157,1),(324,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{1,4,5,7}:{(31,1),(32,1),(36,1),(82,1),(86,1),(95,1),(149,1)}
        57:{3,4,5,7}:{(32,1),(37,1),(83,1),(161,1),(242,1)}
        58:{2,3,4,6}:{(33,1),(34,1),(40,1),(77,1),(88,1),(89,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(41,1),(78,1),(85,1),(88,1),(89,1),(90,1)}
        60:{2,4,5,6}:{(35,1),(36,1),(86,1),(89,1),(90,1)}
        61:{1,3,4,5,6}:{(36,1),(37,1),(87,1),(90,1),(91,1),(98,1),(152,1),(166,1),(251,1),(306,1),(315,1),(370,1),(400,1)}
        62:{1,2,5,6,7}:{(39,1),(81,1),(92,1),(93,1),(100,1),(240,1),(252,1),(309,1),(318,1),(365,1)}
        63:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(84,1),(94,1),(95,1),(102,1),(170,1),(177,1),(303,1),(308,1),(360,1),(366,1),(398,1),(399,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(41,1),(85,1),(95,1)}
        65:{1,2,4,5,7}:{(39,1),(42,1),(86,1),(93,1),(95,1),(96,1),(163,1),(167,1),(172,1),(248,1),(252,1),(312,1),(365,1),(371,1),(398,1)}
        66:{1,3,5}:{(40,1),(45,1),(88,1),(97,1)}
        67:{1,4,6}:{(41,1),(89,1),(95,1),(97,1)}
        68:{1,3,5,6}:{(42,1),(90,1),(96,1),(98,1),(99,1),(103,1),(177,1),(314,1),(400,1)}
        69:{1,2,5,7}:{(43,1),(45,1),(94,1),(100,1),(252,1),(410,1)}
        70:{1,2,4,7}:{(44,1),(46,1),(95,1),(102,1),(172,1),(398,1)}
        71:{1,2,4,5}:{(45,1),(46,1),(97,1),(103,1),(174,1),(410,1),(411,1)}
        72:{1,3,4,6}:{(46,1),(102,1),(103,1),(104,1),(177,1),(314,1),(369,1)}
        73:{1,2,4,7}:{(47,1),(49,1),(106,1),(300,1)}
        74:{1,2,3,6}:{(47,1),(50,1),(106,1),(298,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(54,1),(110,1),(296,1)}
        76:{1,2,5,7}:{(48,1),(51,1),(55,1),(110,1),(292,1)}
        77:{1,3,4,6}:{(49,1),(50,1),(58,1),(106,1),(112,1),(113,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(59,1),(110,1),(112,1),(113,1)}
        79:{1,2,4,5,6}:{(51,1),(60,1),(111,1),(113,1),(114,1),(127,1),(184,1),(193,1),(207,1),(217,1),(264,1),(269,1),(339,1),(355,1),(388,1),(393,1)}
        80:{2,4,5,6,7}:{(53,1),(115,1),(116,1),(196,1),(197,1),(348,1)}
        81:{2,5,6,7}:{(52,1),(55,1),(118,1),(285,1)}
        82:{1,4,6,7}:{(52,1),(53,1),(56,1),(118,1)}
        83:{3,4,6,7}:{(53,1),(57,1),(116,1)}
        84:{2,3,4,6,7}:{(54,1),(58,1),(63,1),(109,1),(120,1),(121,1),(139,1),(198,1),(201,1),(210,1),(218,1),(266,1),(271,1),(334,1),(351,1),(391,1),(392,1)}
        85:{2,3,5,7}:{(54,1),(55,1),(59,1),(64,1),(110,1),(121,1),(122,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(60,1),(118,1),(121,1),(122,1)}
        87:{1,3,4,5,7}:{(56,1),(57,1),(61,1),(119,1),(122,1),(123,1),(132,1),(190,1),(204,1),(209,1),(270,1),(279,1),(347,1),(389,1)}
        88:{2,3,5}:{(58,1),(66,1),(112,1),(124,1)}
        89:{2,4,6}:{(59,1),(67,1),(113,1),(121,1),(124,1),(125,1)}
        90:{3,5,6}:{(60,1),(122,1),(125,1)}
        91:{2,4,5,6}:{(61,1),(123,1),(126,1),(127,1),(135,1),(193,1),(207,1),(291,1),(339,1)}
        92:{1,3,5,6,7}:{(62,1),(64,1),(117,1),(128,1),(129,1),(130,1),(209,1),(272,1),(340,1),(385,1)}
        93:{1,2,4,6,7}:{(62,1),(65,1),(118,1),(128,1),(129,1),(137,1),(200,1),(210,1),(285,1),(348,1)}
        94:{1,3,5,7}:{(63,1),(66,1),(69,1),(120,1),(130,1),(131,1),(340,1),(407,1)}
        95:{1,4,7}:{(64,1),(67,1),(121,1)}
        96:{1,3,5,7}:{(65,1),(68,1),(122,1),(129,1),(132,1),(133,1),(344,1),(389,1)}
        97:{1,4,5}:{(66,1),(67,1),(124,1)}
        98:{1,3,4,6}:{(67,1),(68,1),(125,1),(132,1),(134,1),(135,1),(406,1),(408,1)}
        99:{2,3,5,6}:{(68,1),(133,1),(135,1),(136,1),(140,1),(207,1),(218,1),(290,1),(291,1)}
       100:{1,2,5,6}:{(69,1),(130,1),(137,1),(291,1),(381,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(131,1),(137,1),(138,1),(213,1)}
       102:{1,3,4,7}:{(70,1),(72,1),(138,1),(139,1),(344,1)}
       103:{1,3,5}:{(71,1),(72,1),(140,1)}
       104:{2,3,4,6}:{(72,1),(135,1),(139,1),(140,1),(141,1),(218,1),(290,1),(354,1)}
       105:{1,2,3,6,7}:{(74,1),(75,1),(142,1),(143,1),(230,1),(254,1),(262,1),(301,1),(328,1),(332,1)}
       106:{1,2,4,6}:{(73,1),(74,1),(77,1),(144,1)}
       107:{1,2,3,5,6}:{(74,1),(78,1),(143,1),(144,1),(145,1),(153,1),(176,1),(223,1),(226,1),(259,1),(263,1),(301,1),(332,1),(377,1),(380,1)}
       108:{1,2,5,6,7}:{(76,1),(81,1),(146,1),(147,1),(223,1),(240,1),(254,1),(307,1),(318,1),(327,1)}
       109:{1,3,4,6,7}:{(75,1),(77,1),(84,1),(142,1),(148,1),(149,1),(179,1),(225,1),(231,1),(253,1),(260,1),(301,1),(328,1),(378,1),(379,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(85,1),(149,1)}
       111:{1,2,4,5,7}:{(76,1),(79,1),(86,1),(147,1),(149,1),(150,1),(163,1),(228,1),(233,1),(248,1),(257,1),(307,1),(327,1),(371,1),(378,1)}
       112:{1,3,5}:{(77,1),(88,1),(144,1),(151,1)}
       113:{1,4,6}:{(78,1),(89,1),(149,1),(151,1)}
       114:{1,3,5,6}:{(79,1),(90,1),(150,1),(152,1),(153,1),(226,1),(259,1),(301,1),(400,1)}
       115:{1,4,5,6,7}:{(80,1),(82,1),(154,1),(155,1),(167,1),(228,1),(240,1),(317,1)}
       116:{3,5,6,7}:{(80,1),(83,1),(242,1),(372,1)}
       117:{2,3,5,6,7}:{(81,1),(85,1),(92,1),(146,1),(156,1),(157,1),(159,1),(169,1),(230,1),(242,1),(252,1),(307,1),(318,1),(372,1),(374,1)}
       118:{2,4,6,7}:{(81,1),(82,1),(86,1),(157,1)}
       119:{1,3,4,6,7}:{(82,1),(83,1),(87,1),(155,1),(157,1),(158,1),(238,1),(244,1),(317,1),(372,1)}
       120:{2,3,5,7}:{(84,1),(88,1),(94,1),(148,1),(159,1),(160,1),(242,1),(252,1),(307,1),(403,1)}
       121:{2,4,7}:{(85,1),(89,1),(95,1),(149,1),(161,1)}
       122:{3,5,7}:{(86,1),(90,1),(157,1),(161,1)}
       123:{2,4,5,7}:{(87,1),(91,1),(158,1),(162,1),(163,1),(172,1),(233,1),(248,1),(252,1),(307,1)}
       124:{2,4,5}:{(88,1),(89,1),(97,1),(151,1),(164,1)}
       125:{3,4,6}:{(89,1),(90,1),(161,1),(164,1)}
       126:{2,3,5,6}:{(90,1),(91,1),(162,1),(165,1),(166,1),(400,1)}
       127:{1,4,5,6}:{(91,1),(163,1),(166,1),(175,1),(236,1),(326,1),(364,1)}
       128:{1,4,6,7}:{(92,1),(95,1),(156,1),(167,1),(170,1),(398,1)}
       129:{1,3,6,7}:{(93,1),(96,1),(157,1),(169,1),(177,1),(372,1)}
       130:{1,3,5,6}:{(94,1),(100,1),(159,1),(170,1),(177,1),(360,1),(364,1)}
       131:{1,4,5,7}:{(94,1),(95,1),(97,1),(160,1),(170,1),(398,1),(411,1)}
       132:{1,3,4,7}:{(95,1),(96,1),(98,1),(161,1),(172,1),(398,1),(401,1)}
       133:{2,3,5,7}:{(96,1),(99,1),(169,1),(172,1),(173,1),(248,1),(252,1),(324,1)}
       134:{1,3,4,5}:{(97,1),(98,1),(103,1),(164,1),(174,1),(411,1),(412,1)}
       135:{2,4,6}:{(98,1),(99,1),(172,1),(174,1),(175,1)}
       136:{1,3,5,6}:{(99,1),(173,1),(175,1),(176,1),(180,1),(259,1),(260,1),(326,1)}
       137:{1,2,4,6}:{(100,1),(101,1),(170,1),(177,1),(255,1)}
       138:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(178,1)}
       139:{2,3,4,7}:{(102,1),(104,1),(172,1),(178,1),(179,1),(324,1)}
       140:{2,3,5}:{(103,1),(104,1),(174,1),(180,1)}
       141:{1,3,4,6}:{(104,1),(175,1),(179,1),(180,1),(181,1),(259,1),(260,1),(331,1)}
       142:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(182,1),(183,1),(220,1),(264,1),(271,1),(298,1),(359,1)}
       143:{1,2,3,5,7}:{(105,1),(107,1),(110,1),(182,1),(183,1),(191,1),(215,1),(265,1),(296,1),(356,1)}
       144:{1,2,5}:{(106,1),(112,1)}
       145:{1,2,4,6}:{(107,1),(113,1),(183,1),(184,1),(185,1),(193,1),(300,1),(393,1)}
       146:{1,3,5,6,7}:{(108,1),(110,1),(117,1),(186,1),(187,1),(188,1),(211,1),(270,1),(292,1),(356,1)}
       147:{1,2,4,6,7}:{(108,1),(111,1),(118,1),(186,1),(187,1),(200,1),(264,1),(271,1),(285,1),(348,1)}
       148:{1,3,5,7}:{(109,1),(112,1),(120,1),(182,1),(188,1),(189,1),(292,1),(394,1)}
       149:{1,4,7}:{(110,1),(113,1),(121,1)}
       150:{1,3,5,7}:{(111,1),(114,1),(122,1),(187,1),(190,1),(191,1),(296,1),(389,1)}
       151:{1,4,5}:{(112,1),(113,1),(124,1)}
       152:{1,3,4,6}:{(113,1),(114,1),(125,1),(190,1),(192,1),(193,1),(393,1),(408,1)}
       153:{2,3,5,6}:{(114,1),(191,1),(193,1),(194,1),(207,1),(267,1),(290,1),(334,1),(339,1)}
       154:{2,4,5,6,7}:{(115,1),(118,1),(195,1),(196,1),(197,1),(280,1)}
       155:{1,3,5,6,7}:{(115,1),(116,1),(119,1),(195,1),(196,1),(209,1),(270,1)}
       156:{2,4,6,7}:{(117,1),(121,1),(128,1),(186,1),(197,1),(198,1),(201,1),(391,1)}
       157:{3,6,7}:{(118,1),(122,1)}
       158:{2,4,6,7}:{(119,1),(123,1),(196,1),(199,1),(200,1),(285,1)}
       159:{2,3,5,6}:{(120,1),(130,1),(188,1),(201,1),(218,1),(282,1),(291,1),(334,1),(339,1)}
       160:{2,4,5,7}:{(120,1),(121,1),(124,1),(131,1),(189,1),(201,1),(202,1),(391,1),(409,1)}
       161:{3,4,7}:{(121,1),(122,1),(125,1)}
       162:{2,3,5,7}:{(122,1),(123,1),(126,1),(199,1),(203,1),(204,1),(389,1)}
       163:{1,4,5,7}:{(123,1),(127,1),(200,1),(204,1),(214,1),(275,1),(292,1),(340,1)}
       164:{3,4,5}:{(124,1),(125,1)}
       165:{2,3,4,6}:{(125,1),(126,1),(135,1),(193,1),(203,1),(205,1),(206,1),(290,1),(408,1)}
       166:{1,3,5,6}:{(126,1),(127,1),(204,1),(206,1),(207,1)}
       167:{1,4,5,7}:{(128,1),(197,1),(208,1),(209,1),(340,1)}
       168:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(198,1),(209,1),(210,1),(212,1)}
       169:{2,3,6,7}:{(129,1),(133,1),(210,1),(211,1),(218,1),(285,1)}
       170:{1,4,6}:{(130,1),(131,1),(201,1)}
       171:{1,3,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(202,1),(209,1),(212,1),(213,1)}
       172:{2,4,7}:{(132,1),(133,1),(135,1),(214,1)}
       173:{1,3,5,7}:{(133,1),(136,1),(211,1),(214,1),(215,1),(292,1),(296,1)}
       174:{2,4,5}:{(134,1),(135,1),(140,1),(216,1)}
       175:{1,4,6}:{(135,1),(136,1),(214,1),(216,1)}
       176:{1,2,5,6}:{(136,1),(207,1),(215,1),(217,1),(221,1),(298,1)}
       177:{1,3,6}:{(137,1),(138,1),(218,1)}
       178:{2,3,5,7}:{(138,1),(139,1),(140,1),(213,1),(218,1),(219,1)}
       179:{1,3,4,7}:{(139,1),(141,1),(214,1),(219,1),(220,1),(296,1)}
       180:{1,3,5}:{(140,1),(141,1),(216,1),(221,1)}
       181:{1,2,4,6}:{(141,1),(220,1),(221,1),(222,1),(298,1),(300,1)}
       182:{1,2,5,7}:{(142,1),(144,1),(148,1),(223,1),(307,1),(380,1)}
       183:{1,2,4,7}:{(143,1),(145,1),(149,1),(225,1),(233,1),(378,1)}
       184:{1,2,4,5}:{(144,1),(145,1),(151,1),(226,1),(235,1),(380,1),(404,1)}
       185:{1,3,4,6}:{(145,1),(225,1),(226,1),(227,1),(259,1),(301,1),(331,1)}
       186:{1,4,6,7}:{(146,1),(149,1),(156,1),(228,1),(231,1),(378,1)}
       187:{1,3,6,7}:{(147,1),(150,1),(157,1),(230,1),(301,1),(372,1)}
       188:{1,3,5,6}:{(148,1),(159,1),(223,1),(231,1),(260,1),(301,1),(326,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(151,1),(160,1),(231,1),(378,1),(404,1)}
       190:{1,3,4,7}:{(149,1),(150,1),(152,1),(161,1),(233,1),(378,1),(401,1)}
       191:{2,3,5,7}:{(150,1),(153,1),(230,1),(233,1),(234,1),(248,1),(307,1),(324,1)}
       192:{1,3,4,5}:{(151,1),(152,1),(164,1),(226,1),(235,1),(404,1),(412,1)}
       193:{2,4,6}:{(152,1),(153,1),(233,1),(235,1),(236,1)}
       194:{1,3,5,6}:{(153,1),(234,1),(236,1),(237,1),(304,1),(314,1),(360,1),(364,1)}
       195:{3,5,6,7}:{(154,1),(157,1),(238,1),(242,1)}
       196:{2,5,6,7}:{(155,1),(158,1),(240,1),(252,1),(307,1)}
       197:{2,4,5,7}:{(156,1),(167,1),(228,1),(241,1),(242,1),(252,1),(307,1)}
       198:{3,4,6,7}:{(156,1),(157,1),(161,1),(242,1),(245,1),(372,1),(401,1)}
       199:{2,3,6,7}:{(157,1),(158,1),(162,1),(244,1),(372,1)}
       200:{1,4,6,7}:{(158,1),(163,1),(240,1),(244,1)}
       201:{2,4,6}:{(159,1),(160,1),(170,1),(231,1),(245,1)}
       202:{3,4,5,7}:{(160,1),(161,1),(164,1),(242,1),(245,1),(401,1),(412,1)}
       203:{2,3,4,7}:{(161,1),(162,1),(165,1),(172,1),(233,1),(247,1),(324,1),(401,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(166,1),(244,1),(247,1),(248,1)}
       205:{2,3,4,5}:{(164,1),(165,1),(174,1),(235,1),(249,1),(325,1),(412,1)}
       206:{1,3,4,6}:{(165,1),(166,1),(175,1),(236,1),(247,1),(249,1),(250,1),(259,1),(314,1)}
       207:{2,5,6}:{(166,1),(248,1),(250,1)}
       208:{1,4,5,6}:{(167,1),(170,1),(241,1),(251,1),(364,1)}
       209:{1,3,5,7}:{(167,1),(168,1),(242,1),(251,1),(252,1)}
       210:{2,4,6,7}:{(168,1),(169,1),(172,1),(252,1),(253,1),(255,1)}
       211:{1,3,6,7}:{(169,1),(173,1),(253,1),(254,1),(260,1)}
       212:{1,3,4,6}:{(170,1),(171,1),(177,1),(245,1),(251,1),(255,1)}
       213:{2,4,5,7}:{(171,1),(172,1),(174,1),(178,1),(252,1),(255,1),(256,1)}
       214:{1,4,7}:{(172,1),(173,1),(175,1)}
       215:{1,2,5,7}:{(173,1),(176,1),(248,1),(254,1),(257,1)}
       216:{1,4,5}:{(174,1),(175,1),(180,1)}
       217:{1,2,4,6}:{(175,1),(176,1),(250,1),(257,1),(258,1),(259,1)}
       218:{2,3,6}:{(177,1),(178,1),(255,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(180,1),(256,1),(260,1),(261,1)}
       220:{1,2,4,7}:{(179,1),(181,1),(261,1),(262,1)}
       221:{1,2,5}:{(180,1),(181,1)}
       222:{1,2,3,6}:{(181,1),(259,1),(262,1),(263,1)}
       223:{1,2,5,6}:{(182,1),(188,1),(264,1),(298,1),(339,1)}
       224:{1,2,4,5,7}:{(182,1),(183,1),(184,1),(189,1),(264,1),(265,1),(274,1)}
       225:{1,3,4,7}:{(183,1),(185,1),(265,1),(266,1),(296,1)}
       226:{1,3,5}:{(184,1),(185,1),(267,1)}
       227:{2,3,4,6}:{(185,1),(193,1),(266,1),(267,1),(268,1),(290,1),(334,1),(354,1)}
       228:{1,4,5,7}:{(186,1),(197,1),(269,1),(270,1),(292,1)}
       229:{1,3,4,6,7}:{(186,1),(187,1),(190,1),(198,1),(270,1),(271,1),(273,1)}
       230:{2,3,6,7}:{(187,1),(191,1),(271,1),(272,1),(285,1),(334,1)}
       231:{1,4,6}:{(188,1),(189,1),(201,1)}
       232:{1,3,4,5,7}:{(189,1),(190,1),(192,1),(202,1),(265,1),(270,1),(273,1),(274,1)}
       233:{2,4,7}:{(190,1),(191,1),(193,1),(275,1)}
       234:{1,3,5,7}:{(191,1),(194,1),(272,1),(275,1),(276,1),(340,1),(344,1)}
       235:{2,4,5}:{(192,1),(193,1),(267,1),(277,1)}
       236:{1,4,6}:{(193,1),(194,1),(275,1),(277,1)}
       237:{1,2,5,6}:{(194,1),(207,1),(276,1),(278,1),(337,1),(381,1)}
       238:{3,4,6,7}:{(195,1),(279,1),(280,1)}
       239:{2,3,5,6,7}:{(195,1),(196,1),(199,1),(280,1),(281,1),(283,1)}
       240:{1,5,6,7}:{(196,1),(200,1),(292,1),(340,1)}
       241:{2,4,5,6}:{(197,1),(201,1),(208,1),(269,1),(282,1),(291,1),(339,1)}
       242:{3,5,7}:{(197,1),(198,1),(282,1)}
       243:{2,3,4,6,7}:{(198,1),(199,1),(203,1),(210,1),(271,1),(280,1),(283,1),(284,1),(286,1),(351,1),(391,1)}
       244:{1,3,6,7}:{(199,1),(200,1),(204,1),(285,1)}
       245:{3,4,6}:{(201,1),(202,1),(282,1)}
       246:{2,3,4,5,7}:{(202,1),(203,1),(205,1),(213,1),(274,1),(283,1),(286,1),(287,1),(353,1),(391,1),(409,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(206,1),(214,1),(275,1),(288,1),(296,1),(344,1)}
       248:{2,5,7}:{(204,1),(207,1),(285,1),(288,1)}
       249:{1,3,4,5}:{(205,1),(206,1),(216,1),(277,1),(289,1),(297,1),(345,1)}
       250:{2,4,6}:{(206,1),(207,1),(288,1),(289,1),(290,1)}
       251:{1,3,5,6}:{(208,1),(209,1),(212,1),(282,1),(291,1)}
       252:{2,5,7}:{(209,1),(210,1),(291,1),(292,1)}
       253:{1,4,6,7}:{(210,1),(211,1),(214,1),(292,1),(294,1)}
       254:{1,2,6,7}:{(211,1),(215,1),(285,1),(298,1)}
       255:{2,4,6}:{(212,1),(213,1),(218,1),(291,1),(294,1)}
       256:{1,4,5,7}:{(213,1),(214,1),(216,1),(219,1),(292,1),(294,1)}
       257:{1,2,4,7}:{(214,1),(215,1),(217,1),(288,1),(296,1)}
       258:{1,2,4,5}:{(216,1),(217,1),(221,1),(289,1),(297,1),(300,1)}
       259:{1,3,6}:{(217,1),(290,1),(296,1),(297,1)}
       260:{1,3,6}:{(218,1),(219,1),(294,1),(298,1)}
       261:{1,2,5,7}:{(219,1),(220,1),(221,1),(298,1)}
       262:{1,2,3,7}:{(220,1),(222,1),(296,1)}
       263:{1,2,3,5}:{(221,1),(222,1),(297,1),(300,1)}
       264:{1,2,4,6}:{(223,1),(224,1),(231,1),(301,1),(310,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(301,1),(302,1)}
       266:{2,3,4,7}:{(225,1),(227,1),(233,1),(302,1),(303,1),(324,1)}
       267:{2,3,5}:{(226,1),(227,1),(235,1),(304,1)}
       268:{1,3,4,6}:{(227,1),(236,1),(303,1),(304,1),(305,1),(314,1),(360,1),(369,1)}
       269:{1,4,5,6}:{(228,1),(231,1),(241,1),(306,1),(326,1)}
       270:{1,3,5,7}:{(228,1),(229,1),(242,1),(306,1),(307,1)}
       271:{2,4,6,7}:{(229,1),(230,1),(233,1),(307,1),(308,1),(310,1)}
       272:{1,3,6,7}:{(230,1),(234,1),(308,1),(309,1),(360,1)}
       273:{1,3,4,6}:{(231,1),(232,1),(245,1),(301,1),(306,1),(310,1)}
       274:{2,4,5,7}:{(232,1),(233,1),(235,1),(302,1),(307,1),(310,1),(311,1)}
       275:{1,4,7}:{(233,1),(234,1),(236,1)}
       276:{1,2,5,7}:{(234,1),(237,1),(248,1),(309,1),(312,1)}
       277:{1,4,5}:{(235,1),(236,1),(304,1)}
       278:{1,2,4,6}:{(236,1),(237,1),(250,1),(312,1),(313,1),(314,1)}
       279:{3,4,5,7}:{(238,1),(242,1),(315,1),(316,1),(401,1)}
       280:{2,4,6,7}:{(238,1),(239,1),(316,1),(317,1)}
       281:{1,3,5,6,7}:{(239,1),(240,1),(244,1),(317,1),(318,1),(320,1),(372,1)}
       282:{3,5,6}:{(241,1),(242,1),(245,1)}
       283:{2,3,5,7}:{(242,1),(243,1),(252,1),(307,1),(316,1),(319,1),(320,1)}
       284:{1,3,4,6,7}:{(243,1),(244,1),(247,1),(253,1),(308,1),(317,1),(320,1),(321,1),(322,1),(328,1),(366,1),(372,1),(378,1),(398,1),(401,1)}
       285:{2,6,7}:{(244,1),(248,1)}
       286:{2,3,4,6}:{(245,1),(246,1),(255,1),(310,1),(319,1),(322,1),(375,1),(402,1)}
       287:{1,3,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(311,1),(320,1),(322,1),(323,1),(330,1),(368,1),(378,1),(398,1),(401,1),(404,1),(411,1),(412,1)}
       288:{2,4,7}:{(247,1),(248,1),(250,1),(324,1)}
       289:{2,4,5}:{(249,1),(250,1),(325,1)}
       290:{2,3,6}:{(250,1),(259,1),(314,1),(324,1),(325,1)}
       291:{2,5,6}:{(251,1),(252,1),(255,1),(326,1)}
       292:{1,5,7}:{(252,1),(253,1),(326,1)}
       293:{1,2,4,6,7}:{(253,1),(254,1),(257,1),(321,1),(327,1),(328,1),(329,1),(378,1)}
       294:{1,4,6}:{(255,1),(256,1),(260,1),(326,1)}
       295:{1,2,4,5,7}:{(256,1),(257,1),(258,1),(261,1),(323,1),(327,1),(329,1),(330,1),(333,1),(378,1),(380,1),(404,1)}
       296:{1,3,7}:{(257,1),(259,1),(324,1)}
       297:{1,3,5}:{(258,1),(259,1),(325,1),(331,1)}
       298:{1,2,6}:{(260,1),(261,1)}
       299:{1,2,3,5,7}:{(261,1),(262,1),(263,1),(330,1),(332,1),(333,1),(380,1)}
       300:{1,2,4}:{(263,1),(331,1)}
       301:{1,3,6}:{(264,1),(265,1),(334,1)}
       302:{2,3,5,7}:{(265,1),(266,1),(267,1),(274,1),(334,1),(335,1)}
       303:{1,3,4,7}:{(266,1),(268,1),(275,1),(335,1),(336,1),(344,1)}
       304:{1,3,5}:{(267,1),(268,1),(277,1),(337,1)}
       305:{1,2,4,6}:{(268,1),(336,1),(337,1),(338,1),(381,1),(383,1)}
       306:{1,3,5,6}:{(269,1),(270,1),(273,1),(282,1),(339,1)}
       307:{2,5,7}:{(270,1),(271,1),(339,1),(340,1)}
       308:{1,4,6,7}:{(271,1),(272,1),(275,1),(340,1),(342,1)}
       309:{1,2,6,7}:{(272,1),(276,1),(285,1),(381,1)}
       310:{2,4,6}:{(273,1),(274,1),(334,1),(339,1),(342,1)}
       311:{1,4,5,7}:{(274,1),(275,1),(277,1),(335,1),(340,1),(342,1)}
       312:{1,2,4,7}:{(275,1),(276,1),(278,1),(288,1),(344,1)}
       313:{1,2,4,5}:{(277,1),(278,1),(289,1),(337,1),(345,1),(383,1)}
       314:{1,3,6}:{(278,1),(290,1),(344,1),(345,1)}
       315:{3,4,5,6}:{(279,1),(282,1),(346,1),(408,1)}
       316:{2,4,5,7}:{(279,1),(280,1),(283,1),(346,1),(347,1),(391,1)}
       317:{1,4,6,7}:{(280,1),(281,1),(347,1),(348,1)}
       318:{2,5,6,7}:{(281,1),(285,1),(348,1),(350,1)}
       319:{2,3,5,6}:{(282,1),(283,1),(286,1),(291,1),(339,1),(346,1),(349,1)}
       320:{1,3,5,7}:{(283,1),(284,1),(292,1),(340,1),(347,1),(349,1),(350,1),(389,1)}
       321:{2,4,6,7}:{(284,1),(285,1),(288,1),(350,1),(351,1),(352,1),(391,1)}
       322:{1,3,4,6}:{(286,1),(287,1),(294,1),(342,1),(349,1),(352,1),(357,1),(386,1),(393,1),(406,1),(408,1)}
       323:{2,4,5,7}:{(287,1),(288,1),(289,1),(350,1),(352,1),(353,1),(391,1),(409,1)}
       324:{2,3,7}:{(288,1),(290,1),(296,1),(344,1)}
       325:{2,3,5}:{(289,1),(290,1),(297,1),(345,1),(354,1)}
       326:{1,5,6}:{(291,1),(292,1),(294,1)}
       327:{1,2,5,7}:{(292,1),(293,1),(350,1),(355,1),(356,1)}
       328:{1,3,6,7}:{(293,1),(296,1),(351,1),(356,1),(357,1)}
       329:{1,2,4,6}:{(294,1),(295,1),(298,1),(352,1),(355,1),(357,1),(393,1)}
       330:{1,3,5,7}:{(295,1),(296,1),(297,1),(353,1),(357,1),(358,1),(394,1)}
       331:{1,3,4}:{(297,1),(300,1),(354,1)}
       332:{1,2,3,6}:{(298,1),(299,1),(357,1),(359,1)}
       333:{1,2,4,7}:{(299,1),(300,1),(358,1),(359,1)}
       334:{2,3,6}:{(301,1),(302,1),(310,1),(360,1)}
       335:{1,3,5,7}:{(302,1),(303,1),(304,1),(311,1),(360,1),(361,1)}
       336:{1,2,4,7}:{(303,1),(305,1),(361,1),(362,1)}
       337:{1,2,5}:{(304,1),(305,1)}
       338:{1,2,3,6}:{(305,1),(314,1),(362,1),(363,1)}
       339:{2,5,6}:{(306,1),(307,1),(310,1),(364,1)}
       340:{1,5,7}:{(307,1),(308,1),(364,1)}
       341:{1,2,4,6,7}:{(308,1),(309,1),(312,1),(321,1),(365,1),(366,1),(367,1),(398,1)}
       342:{1,4,6}:{(310,1),(311,1),(360,1),(364,1)}
       343:{1,2,4,5,7}:{(311,1),(312,1),(313,1),(323,1),(361,1),(365,1),(367,1),(368,1),(396,1),(398,1),(410,1),(411,1)}
       344:{1,3,7}:{(312,1),(314,1),(324,1)}
       345:{1,3,5}:{(313,1),(314,1),(325,1),(369,1)}
       346:{2,4,5,6}:{(315,1),(316,1),(319,1),(370,1),(402,1)}
       347:{1,4,5,7}:{(316,1),(317,1),(320,1),(370,1),(371,1),(378,1),(398,1)}
       348:{2,4,6,7}:{(317,1),(318,1),(371,1),(372,1)}
       349:{1,3,5,6}:{(319,1),(320,1),(322,1),(326,1),(364,1),(370,1),(373,1),(400,1)}
       350:{2,5,7}:{(320,1),(321,1),(373,1)}
       351:{2,3,6,7}:{(321,1),(324,1),(328,1),(366,1),(372,1),(374,1),(375,1)}
       352:{2,4,6}:{(322,1),(323,1),(373,1),(375,1)}
       353:{2,3,5,7}:{(323,1),(324,1),(325,1),(330,1),(368,1),(375,1),(376,1),(403,1)}
       354:{2,3,4}:{(325,1),(331,1),(369,1)}
       355:{1,2,5,6}:{(326,1),(327,1),(329,1),(373,1),(377,1),(380,1)}
       356:{1,3,5,7}:{(327,1),(328,1),(374,1),(377,1),(378,1)}
       357:{1,3,6}:{(329,1),(330,1),(375,1)}
       358:{1,3,4,7}:{(330,1),(331,1),(333,1),(376,1),(378,1),(379,1)}
       359:{1,2,4,6}:{(332,1),(333,1),(379,1),(380,1)}
       360:{1,3,6}:{(334,1),(335,1),(342,1),(381,1)}
       361:{1,2,5,7}:{(335,1),(336,1),(337,1),(381,1)}
       362:{1,2,3,7}:{(336,1),(338,1),(344,1)}
       363:{1,2,3,5}:{(337,1),(338,1),(345,1),(383,1)}
       364:{1,5,6}:{(339,1),(340,1),(342,1)}
       365:{1,2,5,7}:{(340,1),(341,1),(350,1),(384,1),(385,1)}
       366:{1,3,6,7}:{(341,1),(344,1),(351,1),(385,1),(386,1)}
       367:{1,2,4,6}:{(342,1),(343,1),(352,1),(381,1),(384,1),(386,1),(406,1)}
       368:{1,3,5,7}:{(343,1),(344,1),(345,1),(353,1),(386,1),(387,1),(407,1)}
       369:{1,3,4}:{(345,1),(354,1),(383,1)}
       370:{1,4,5,6}:{(346,1),(347,1),(349,1),(388,1),(393,1),(406,1)}
       371:{2,4,5,7}:{(347,1),(348,1),(350,1),(388,1),(389,1),(391,1)}
       372:{3,6,7}:{(348,1),(389,1)}
       373:{2,5,6}:{(349,1),(350,1),(352,1)}
       374:{2,3,5,7}:{(350,1),(351,1),(356,1),(385,1),(389,1),(390,1),(391,1)}
       375:{2,3,6}:{(352,1),(353,1),(357,1),(386,1)}
       376:{2,3,4,7}:{(353,1),(354,1),(358,1),(387,1),(391,1),(392,1)}
       377:{1,3,5,6}:{(355,1),(356,1),(357,1),(390,1),(393,1),(394,1)}
       378:{1,4,7}:{(356,1),(391,1),(393,1)}
       379:{1,3,4,6}:{(357,1),(358,1),(359,1),(392,1),(393,1),(394,1)}
       380:{1,2,5}:{(359,1),(394,1)}
       381:{1,2,6}:{(360,1),(361,1)}
       382:{1,2,3,5,7}:{(361,1),(362,1),(363,1),(368,1),(395,1),(396,1),(410,1)}
       383:{1,2,4}:{(363,1),(369,1)}
       384:{1,2,5,6}:{(364,1),(365,1),(367,1),(373,1),(397,1),(410,1)}
       385:{1,3,5,7}:{(365,1),(366,1),(374,1),(397,1),(398,1)}
       386:{1,3,6}:{(367,1),(368,1),(375,1)}
       387:{1,3,4,7}:{(368,1),(369,1),(376,1),(396,1),(398,1),(399,1)}
       388:{2,4,5,6}:{(370,1),(371,1),(373,1),(400,1),(402,1)}
       389:{3,5,7}:{(371,1),(372,1),(400,1),(401,1)}
       390:{2,3,5,6}:{(373,1),(374,1),(375,1),(377,1),(397,1),(400,1),(402,1),(403,1)}
       391:{2,4,7}:{(374,1),(378,1),(398,1),(401,1),(402,1)}
       392:{2,3,4,6}:{(375,1),(376,1),(379,1),(399,1),(402,1),(403,1)}
       393:{1,4,6}:{(377,1),(378,1),(402,1),(404,1)}
       394:{1,3,5}:{(379,1),(380,1),(403,1),(404,1)}
       395:{1,2,3,6}:{(381,1),(382,1),(386,1),(405,1)}
       396:{1,2,4,7}:{(382,1),(383,1),(387,1),(405,1)}
       397:{1,3,5,6}:{(384,1),(385,1),(386,1),(390,1),(406,1),(407,1)}
       398:{1,4,7}:{(385,1),(391,1),(406,1)}
       399:{1,3,4,6}:{(386,1),(387,1),(392,1),(405,1),(406,1),(407,1)}
       400:{3,5,6}:{(388,1),(389,1),(408,1)}
       401:{3,4,7}:{(389,1),(391,1),(408,1)}
       402:{2,4,6}:{(390,1),(391,1),(393,1),(406,1),(408,1),(409,1)}
       403:{2,3,5}:{(392,1),(394,1),(407,1),(409,1)}
       404:{1,4,5}:{(393,1),(394,1),(409,1)}
       405:{1,2,4,6}:{(395,1),(396,1),(399,1),(410,1)}
       406:{1,4,6}:{(397,1),(398,1),(402,1),(411,1)}
       407:{1,3,5}:{(399,1),(403,1),(410,1),(411,1)}
       408:{3,4,6}:{(400,1),(401,1),(402,1),(412,1)}
       409:{2,4,5}:{(402,1),(403,1),(404,1),(411,1),(412,1)}
       410:{1,2,5}:{(405,1),(407,1)}
       411:{1,4,5}:{(406,1),(407,1),(409,1)}
       412:{3,4,5}:{(408,1),(409,1)}

1785 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(99,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(38,1),(78,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(29,1),(83,1),(108,1),(113,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(45,1),(83,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(45,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(96,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(58,1),(98,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(20,1),(24,1),(49,1),(62,1),(90,1),(96,1)}
         9:{2,4,5}:{(2,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5}:{(3,1),(21,1),(24,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(67,1),(105,1),(108,1)}
        15:{3,4,5,7}:{(5,1),(31,1),(32,1),(112,1),(133,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(32,1),(33,1),(78,1),(135,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(33,1),(35,1),(36,1),(75,1)}
        19:{1,3,4,7}:{(7,1),(8,1),(35,1),(37,1),(42,1),(70,1),(82,1),(107,1),(112,1)}
        20:{2,4,6}:{(8,1),(9,1),(36,1),(37,1),(38,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(38,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(36,1),(40,1),(41,1),(45,1),(85,1)}
        23:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        24:{1,3,6}:{(10,1),(11,1),(38,1),(42,1)}
        25:{1,3,4}:{(11,1),(13,1),(39,1)}
        26:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(43,1),(44,1),(45,1),(85,1)}
        28:{1,2,4,6}:{(14,1),(20,1),(47,1),(48,1),(49,1),(90,1)}
        29:{1,3,5}:{(14,1),(21,1),(49,1),(50,1)}
        30:{4,5,6,7}:{(51,1),(137,1)}
        31:{3,4,6,7}:{(15,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(15,1),(16,1),(17,1),(52,1),(53,1),(98,1),(126,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(53,1),(54,1),(62,1),(90,1),(128,1),(136,1)}
        34:{2,3,6,7}:{(17,1),(52,1),(55,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(53,1),(55,1),(56,1),(95,1)}
        36:{2,5,6}:{(18,1),(20,1),(56,1)}
        37:{2,4,7}:{(19,1),(20,1),(56,1),(58,1)}
        38:{2,3,6}:{(20,1),(21,1),(24,1),(49,1),(58,1)}
        39:{2,3,4}:{(21,1),(25,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(56,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(22,1),(24,1),(57,1),(61,1),(62,1),(64,1),(103,1),(128,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(27,1),(59,1),(62,1),(63,1),(64,1),(103,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(65,1)}
        45:{1,2,5}:{(27,1),(64,1)}
        46:{1,2,3,5}:{(29,1),(66,1),(67,1),(105,1)}
        47:{1,2,5,6}:{(28,1),(36,1),(68,1),(69,1),(105,1),(129,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(38,1),(70,1)}
        50:{1,3,4}:{(29,1),(39,1),(67,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(72,1),(133,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(34,1),(72,1),(73,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(82,1),(107,1),(117,1),(130,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(74,1),(75,1),(78,1),(135,1),(139,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(73,1),(76,1),(111,1)}
        56:{2,5,7}:{(35,1),(36,1),(37,1),(76,1)}
        57:{2,3,5,6}:{(36,1),(38,1),(41,1),(69,1),(75,1),(77,1),(78,1),(80,1),(116,1),(135,1)}
        58:{2,3,7}:{(37,1),(38,1),(42,1),(70,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(79,1),(80,1),(116,1)}
        60:{1,2,6,7}:{(40,1),(76,1),(81,1),(85,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(42,1),(77,1),(81,1),(82,1),(117,1)}
        62:{1,4,6}:{(41,1),(78,1),(82,1),(83,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(44,1),(79,1),(82,1),(84,1)}
        64:{1,3,5}:{(43,1),(45,1),(80,1),(83,1)}
        65:{1,2,5,7}:{(44,1),(45,1),(84,1),(85,1)}
        66:{1,2,3,6}:{(46,1),(49,1),(86,1),(87,1)}
        67:{1,2,4}:{(46,1),(50,1)}
        68:{1,2,5,7}:{(47,1),(48,1),(56,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(57,1),(89,1),(90,1),(92,1),(122,1),(136,1)}
        70:{1,3,7}:{(48,1),(49,1),(58,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(59,1),(87,1),(90,1),(91,1),(92,1),(122,1)}
        72:{2,5,6,7}:{(51,1),(52,1),(93,1),(126,1)}
        73:{1,4,6,7}:{(52,1),(53,1),(55,1),(93,1),(94,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(56,1),(94,1),(95,1),(98,1),(126,1),(137,1)}
        75:{3,5,6}:{(54,1),(95,1),(96,1)}
        76:{2,6,7}:{(55,1),(56,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(89,1),(95,1),(97,1),(98,1),(126,1)}
        78:{2,4,6}:{(57,1),(62,1),(90,1),(96,1),(98,1),(99,1)}
        79:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(98,1),(100,1)}
        80:{2,3,5}:{(59,1),(64,1),(92,1),(99,1)}
        81:{1,3,6,7}:{(60,1),(61,1),(97,1),(101,1),(103,1)}
        82:{1,4,7}:{(61,1),(62,1),(98,1)}
        83:{1,4,5}:{(62,1),(64,1),(99,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(65,1),(100,1),(102,1),(103,1)}
        85:{1,2,6}:{(65,1),(103,1)}
        86:{1,2,3,7}:{(66,1),(70,1),(104,1)}
        87:{1,2,4,6}:{(66,1),(67,1),(71,1),(104,1),(105,1),(129,1)}
        88:{1,2,6,7}:{(68,1),(76,1),(106,1),(129,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(70,1),(77,1),(106,1),(107,1),(130,1)}
        90:{1,4,6}:{(69,1),(78,1),(107,1),(108,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(79,1),(104,1),(107,1),(109,1)}
        92:{1,3,5}:{(71,1),(80,1),(105,1),(108,1)}
        93:{1,5,6,7}:{(72,1),(73,1),(110,1),(117,1),(130,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(110,1),(111,1),(132,1)}
        95:{3,5,7}:{(74,1),(75,1),(111,1),(112,1)}
        96:{3,4,6}:{(75,1),(78,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(76,1),(77,1),(81,1),(106,1),(111,1),(114,1),(116,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(107,1),(112,1)}
        99:{2,4,5}:{(78,1),(80,1),(83,1),(108,1),(113,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(115,1),(116,1)}
       101:{1,4,6,7}:{(81,1),(82,1),(114,1),(117,1),(118,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(84,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(118,1)}
       104:{1,2,4,7}:{(86,1),(87,1),(91,1),(119,1)}
       105:{1,2,5}:{(87,1),(92,1)}
       106:{1,3,6,7}:{(88,1),(89,1),(97,1),(120,1),(122,1)}
       107:{1,4,7}:{(89,1),(90,1),(98,1)}
       108:{1,4,5}:{(90,1),(92,1),(99,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(121,1),(122,1)}
       110:{2,5,6,7}:{(93,1),(94,1),(123,1),(126,1)}
       111:{3,6,7}:{(94,1),(95,1)}
       112:{3,4,7}:{(95,1),(96,1),(98,1)}
       113:{3,4,5}:{(96,1),(99,1)}
       114:{2,4,6,7}:{(97,1),(98,1),(101,1),(120,1),(124,1),(126,1),(127,1)}
       115:{2,4,5,7}:{(98,1),(99,1),(100,1),(102,1),(121,1),(125,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(127,1)}
       117:{1,5,7}:{(101,1),(126,1),(128,1)}
       118:{1,4,6}:{(102,1),(103,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,6,7}:{(106,1),(107,1),(114,1),(130,1),(131,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(109,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(131,1)}
       123:{3,5,6,7}:{(110,1),(111,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(114,1),(132,1),(133,1),(134,1)}
       125:{3,4,5,7}:{(112,1),(113,1),(115,1),(133,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(130,1),(133,1),(135,1)}
       127:{2,4,6}:{(115,1),(116,1),(118,1),(131,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,5,7}:{(120,1),(126,1),(136,1)}
       131:{1,4,6}:{(121,1),(122,1),(127,1),(136,1)}
       132:{4,6,7}:{(123,1),(137,1)}
       133:{3,5,7}:{(124,1),(126,1),(137,1),(138,1)}
       134:{3,4,6}:{(125,1),(127,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1786 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

1787 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(151,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(145,1),(153,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(16,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(22,1),(24,1),(137,1),(149,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(17,1),(32,1),(37,1),(127,1),(143,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(12,1),(14,1)}
         8:{1,2,3,6,7}:{(4,1),(13,1),(15,1),(68,1),(153,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(16,1),(36,1)}
        10:{1,2,4,5}:{(5,1),(16,1),(17,1)}
        11:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(26,1),(45,1),(53,1),(113,1),(135,1)}
        12:{1,3,4,6}:{(6,1),(7,1),(19,1),(21,1)}
        13:{1,2,4,6,7}:{(7,1),(8,1),(20,1),(22,1),(24,1),(149,1),(152,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(22,1)}
        15:{1,2,3,5,7}:{(8,1),(9,1),(22,1),(24,1),(51,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(24,1),(25,1)}
        17:{1,3,4,5}:{(10,1),(25,1),(26,1)}
        18:{1,3,4,5,7}:{(11,1),(28,1),(29,1),(39,1),(60,1),(71,1),(96,1),(125,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(29,1),(31,1)}
        20:{1,3,4,6,7}:{(12,1),(13,1),(30,1),(32,1),(37,1),(65,1),(68,1),(143,1),(146,1)}
        21:{1,3,5,6}:{(12,1),(14,1),(31,1),(32,1),(33,1)}
        22:{1,2,5,7}:{(13,1),(14,1),(32,1)}
        23:{1,2,4,5,6}:{(14,1),(16,1),(33,1),(35,1),(36,1),(67,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(37,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        26:{2,3,4,5}:{(17,1),(38,1),(39,1)}
        27:{1,2,3,4,7}:{(40,1),(41,1),(93,1),(111,1)}
        28:{1,2,4,5,7}:{(18,1),(40,1),(42,1),(55,1),(76,1),(77,1),(91,1),(111,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(42,1),(44,1)}
        30:{2,3,4,6,7}:{(19,1),(20,1),(43,1),(45,1),(53,1),(82,1),(88,1),(135,1),(138,1)}
        31:{2,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(22,1),(45,1),(48,1)}
        33:{1,4,5,6}:{(21,1),(46,1),(48,1)}
        34:{1,2,5,6,7}:{(22,1),(47,1),(50,1),(122,1),(152,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(48,1),(50,1),(51,1),(86,1)}
        36:{1,3,5,6}:{(23,1),(25,1),(51,1),(52,1)}
        37:{1,3,4,7}:{(24,1),(25,1),(51,1),(53,1)}
        38:{2,3,4,6}:{(25,1),(26,1),(52,1),(53,1),(54,1)}
        39:{1,3,4,5}:{(26,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(27,1),(28,1),(56,1),(57,1),(73,1),(110,1)}
        41:{1,2,3,4,6}:{(27,1),(56,1),(57,1),(95,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(56,1),(59,1)}
        43:{1,3,4,6,7}:{(29,1),(30,1),(58,1),(60,1),(71,1),(100,1),(108,1),(125,1),(128,1)}
        44:{1,3,5,6}:{(29,1),(31,1),(59,1),(60,1),(61,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{2,4,5,6}:{(31,1),(33,1),(61,1),(63,1),(64,1)}
        47:{1,3,5,6,7}:{(32,1),(34,1),(62,1),(65,1),(68,1),(146,1),(148,1)}
        48:{1,4,5,7}:{(32,1),(33,1),(63,1),(65,1)}
        49:{1,3,4,5,6}:{(33,1),(36,1),(64,1),(66,1),(67,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(65,1),(68,1),(106,1)}
        51:{1,3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(38,1),(67,1),(69,1),(70,1)}
        53:{2,3,4,7}:{(37,1),(38,1),(69,1),(71,1)}
        54:{1,3,4,6}:{(38,1),(39,1),(70,1),(71,1),(72,1)}
        55:{1,2,4,5}:{(39,1),(72,1),(73,1)}
        56:{1,2,3,6}:{(40,1),(42,1)}
        57:{1,2,3,5}:{(41,1),(76,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(74,1),(77,1),(91,1),(111,1),(124,1)}
        59:{1,2,5,6}:{(42,1),(44,1),(77,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(45,1),(77,1),(80,1)}
        61:{1,4,5,6}:{(44,1),(46,1),(80,1)}
        62:{2,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(88,1),(121,1),(122,1),(138,1),(141,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(48,1),(80,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(82,1)}
        66:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(83,1),(85,1),(86,1)}
        67:{2,4,5,6}:{(49,1),(52,1),(86,1),(87,1)}
        68:{1,3,6,7}:{(50,1),(51,1),(88,1)}
        69:{2,3,5,7}:{(51,1),(52,1),(53,1),(86,1),(88,1),(89,1)}
        70:{1,3,5,6}:{(52,1),(54,1),(87,1),(89,1),(90,1)}
        71:{1,3,4,7}:{(53,1),(54,1),(89,1),(91,1)}
        72:{1,2,4,6}:{(54,1),(55,1),(90,1),(91,1),(92,1)}
        73:{1,2,3,5}:{(55,1),(92,1),(93,1)}
        74:{1,2,3,6,7}:{(56,1),(58,1),(94,1),(110,1),(128,1)}
        75:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(94,1),(95,1),(99,1)}
        76:{1,2,4,5}:{(57,1),(95,1),(96,1)}
        77:{1,2,5,7}:{(58,1),(59,1),(60,1)}
        78:{1,2,4,5,6}:{(59,1),(61,1),(95,1),(98,1),(99,1),(102,1)}
        79:{1,3,5,6,7}:{(60,1),(62,1),(97,1),(100,1),(108,1),(128,1),(134,1)}
        80:{1,4,5,7}:{(60,1),(61,1),(63,1),(100,1)}
        81:{1,3,4,5,6}:{(61,1),(64,1),(99,1),(101,1),(102,1)}
        82:{2,4,6,7}:{(62,1),(63,1),(65,1),(100,1),(104,1)}
        83:{3,4,5,7}:{(63,1),(64,1),(104,1)}
        84:{1,4,5,6,7}:{(65,1),(103,1),(105,1),(148,1)}
        85:{1,3,4,6,7}:{(65,1),(66,1),(68,1),(104,1),(105,1),(106,1)}
        86:{2,4,5,7}:{(66,1),(67,1),(69,1),(106,1),(107,1)}
        87:{1,4,5,6}:{(67,1),(70,1),(107,1)}
        88:{2,3,6,7}:{(68,1),(69,1),(106,1),(108,1)}
        89:{1,3,5,7}:{(69,1),(70,1),(71,1),(107,1),(108,1),(109,1)}
        90:{1,2,5,6}:{(70,1),(72,1),(109,1)}
        91:{1,2,4,7}:{(71,1),(72,1),(109,1),(110,1)}
        92:{1,2,3,6}:{(72,1),(73,1),(110,1)}
        93:{1,2,3,4}:{(73,1)}
        94:{1,2,3,5,7}:{(74,1),(75,1),(77,1),(111,1),(115,1)}
        95:{1,2,4,6}:{(75,1),(76,1),(111,1),(112,1)}
        96:{1,3,4,5}:{(76,1),(112,1),(113,1)}
        97:{1,2,5,6,7}:{(77,1),(79,1),(114,1),(124,1),(141,1)}
        98:{1,2,4,5,7}:{(77,1),(78,1),(80,1),(111,1),(114,1),(115,1),(119,1)}
        99:{1,3,5,6}:{(78,1),(112,1),(115,1),(116,1)}
       100:{1,4,6,7}:{(79,1),(80,1),(82,1)}
       101:{1,3,4,5,7}:{(80,1),(81,1),(83,1),(115,1),(118,1),(119,1)}
       102:{2,4,5,6}:{(81,1),(116,1),(119,1),(120,1)}
       103:{2,4,5,6,7}:{(82,1),(84,1),(117,1),(121,1),(122,1),(141,1)}
       104:{3,4,6,7}:{(82,1),(83,1),(121,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(121,1),(122,1)}
       106:{2,4,6,7}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,4,5,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{1,3,6,7}:{(88,1),(89,1),(123,1),(124,1)}
       109:{1,2,5,7}:{(89,1),(90,1),(91,1),(124,1)}
       110:{1,2,3,7}:{(91,1),(92,1)}
       111:{1,2,4,7}:{(94,1),(95,1),(125,1)}
       112:{1,3,4,6}:{(95,1),(96,1),(99,1),(125,1),(126,1)}
       113:{2,3,4,5}:{(96,1),(126,1),(127,1)}
       114:{1,2,4,6,7}:{(97,1),(98,1),(100,1),(128,1),(132,1)}
       115:{1,3,5,7}:{(98,1),(99,1),(125,1),(128,1),(129,1)}
       116:{2,3,5,6}:{(99,1),(102,1),(126,1),(129,1),(130,1)}
       117:{1,4,5,6,7}:{(100,1),(103,1),(131,1),(134,1)}
       118:{1,3,4,6,7}:{(100,1),(101,1),(104,1),(128,1),(131,1),(132,1)}
       119:{2,4,5,7}:{(101,1),(102,1),(129,1),(132,1),(133,1)}
       120:{1,4,5,6}:{(102,1),(130,1),(133,1)}
       121:{3,5,6,7}:{(103,1),(104,1)}
       122:{2,5,6,7}:{(105,1),(106,1),(134,1)}
       123:{1,4,6,7}:{(106,1),(107,1),(108,1),(134,1)}
       124:{1,2,6,7}:{(108,1),(109,1)}
       125:{1,3,4,7}:{(111,1),(112,1),(115,1),(135,1)}
       126:{2,3,4,6}:{(112,1),(113,1),(116,1),(135,1),(136,1)}
       127:{1,3,4,5}:{(113,1),(136,1),(137,1)}
       128:{1,3,6,7}:{(114,1),(115,1),(138,1)}
       129:{2,3,5,7}:{(115,1),(116,1),(119,1),(135,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(120,1),(136,1),(139,1),(140,1)}
       131:{1,3,5,6,7}:{(117,1),(118,1),(121,1),(141,1)}
       132:{2,4,6,7}:{(118,1),(119,1),(138,1),(141,1),(142,1)}
       133:{1,4,5,7}:{(119,1),(120,1),(139,1),(142,1)}
       134:{1,5,6,7}:{(122,1),(123,1)}
       135:{2,3,4,7}:{(125,1),(126,1),(129,1),(143,1)}
       136:{1,3,4,6}:{(126,1),(127,1),(130,1),(143,1),(144,1)}
       137:{1,2,4,5}:{(127,1),(144,1),(145,1)}
       138:{2,3,6,7}:{(128,1),(129,1),(132,1),(146,1)}
       139:{1,3,5,7}:{(129,1),(130,1),(133,1),(143,1),(146,1),(147,1)}
       140:{1,2,5,6}:{(130,1),(144,1),(147,1)}
       141:{2,5,6,7}:{(131,1),(132,1),(148,1)}
       142:{1,4,6,7}:{(132,1),(133,1),(146,1),(148,1)}
       143:{1,3,4,7}:{(135,1),(136,1),(139,1),(149,1)}
       144:{1,2,4,6}:{(136,1),(137,1),(140,1),(149,1),(150,1)}
       145:{1,2,3,5}:{(137,1),(150,1),(151,1)}
       146:{1,3,6,7}:{(138,1),(139,1),(142,1),(152,1)}
       147:{1,2,5,7}:{(139,1),(140,1),(149,1),(152,1)}
       148:{1,5,6,7}:{(141,1),(142,1)}
       149:{1,2,4,7}:{(143,1),(144,1),(147,1),(153,1)}
       150:{1,2,3,6}:{(144,1),(145,1),(153,1)}
       151:{1,2,3,4}:{(145,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,2,3,7}:{(149,1),(150,1)}

1788 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,2,3,7}:{(3,1),(10,1)}
        7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
        8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1),(14,1)}
        9:{1,2,5,6}:{(5,1),(13,1),(15,1)}
       10:{1,2,4,7}:{(5,1),(6,1),(14,1),(15,1)}
       11:{1,3,4,5}:{(7,1),(17,1),(18,1)}
       12:{2,3,4,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       13:{1,3,5,6}:{(8,1),(9,1),(19,1),(21,1),(22,1)}
       14:{1,3,4,7}:{(8,1),(10,1),(20,1),(22,1)}
       15:{1,2,5,7}:{(9,1),(10,1),(22,1),(23,1)}
       16:{1,2,3,4}:{(24,1)}
       17:{1,2,4,5}:{(11,1),(24,1),(25,1)}
       18:{1,3,4,6}:{(11,1),(12,1),(25,1),(26,1),(27,1)}
       19:{2,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1)}
       20:{2,3,4,7}:{(12,1),(14,1),(27,1),(29,1)}
       21:{1,4,5,6}:{(13,1),(28,1),(30,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(15,1),(29,1),(30,1),(31,1)}
       23:{1,2,6,7}:{(15,1),(31,1)}
       24:{1,2,3,5}:{(16,1),(17,1),(32,1)}
       25:{1,2,4,6}:{(17,1),(18,1),(32,1),(33,1),(34,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(33,1),(35,1),(36,1)}
       27:{1,3,4,7}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,5,6}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
       29:{2,3,5,7}:{(19,1),(20,1),(22,1),(36,1),(38,1),(39,1)}
       30:{1,4,5,7}:{(21,1),(22,1),(38,1),(40,1)}
       31:{1,3,6,7}:{(22,1),(23,1),(39,1),(40,1)}
       32:{1,2,3,6}:{(24,1),(25,1),(41,1)}
       33:{1,2,5,6}:{(25,1),(26,1),(42,1)}
       34:{1,2,4,7}:{(25,1),(27,1),(41,1),(42,1)}
       35:{1,4,5,6}:{(26,1),(28,1),(43,1)}
       36:{1,3,5,7}:{(26,1),(27,1),(29,1),(42,1),(43,1),(44,1)}
       37:{3,4,5,6}:{(28,1),(45,1)}
       38:{2,4,5,7}:{(28,1),(29,1),(30,1),(43,1),(45,1),(46,1)}
       39:{2,3,6,7}:{(29,1),(31,1),(44,1),(46,1)}
       40:{1,4,6,7}:{(30,1),(31,1),(46,1),(47,1)}
       41:{1,2,3,7}:{(32,1),(34,1)}
       42:{1,2,5,7}:{(33,1),(34,1),(36,1),(48,1)}
       43:{1,4,5,7}:{(35,1),(36,1),(38,1),(49,1)}
       44:{1,3,6,7}:{(36,1),(39,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(37,1),(38,1),(50,1)}
       46:{2,4,6,7}:{(38,1),(39,1),(40,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(40,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1789 :   0:{1,2,3,6,7}:{(2,1),(3,1),(44,1),(86,1),(288,1),(358,1),(372,1),(376,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(36,1),(44,1),(188,1),(254,1),(273,1),(376,1),(380,1),(457,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(26,1),(120,1),(321,1),(324,1),(421,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(27,1),(56,1),(237,1),(306,1),(405,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(54,1),(326,1),(424,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(16,1),(41,1),(44,1),(252,1),(268,1),(271,1),(358,1),(381,1),(444,1)}
         6:{1,2,5,7}:{(2,1),(12,1),(13,1),(160,1),(457,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(43,1),(457,1),(461,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(84,1),(444,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(44,1),(254,1),(278,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(26,1),(54,1),(65,1),(78,1),(137,1),(148,1),(202,1),(329,1),(332,1),(424,1)}
        11:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(29,1),(62,1),(69,1),(116,1),(120,1),(201,1),(217,1),(219,1),(310,1),(334,1),(409,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(304,1),(425,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(137,1),(324,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1),(67,1)}
        15:{1,3,5}:{(7,1),(9,1),(28,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(27,1),(29,1),(306,1)}
        17:{2,3,4,6}:{(9,1),(28,1),(29,1),(30,1),(54,1),(69,1),(207,1),(230,1)}
        18:{1,2,5,6,7}:{(13,1),(32,1),(34,1),(160,1),(194,1),(292,1),(352,1),(357,1)}
        19:{1,2,4,5,7}:{(10,1),(34,1),(35,1),(82,1),(84,1),(111,1),(160,1),(192,1),(253,1),(357,1),(361,1),(444,1)}
        20:{1,3,5,6}:{(10,1),(15,1),(33,1),(35,1),(36,1),(44,1),(254,1),(382,1)}
        21:{1,3,4,6,7}:{(11,1),(37,1),(38,1),(47,1),(92,1),(102,1),(161,1),(168,1),(170,1),(261,1),(284,1),(365,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(38,1),(39,1),(40,1),(156,1),(160,1),(251,1),(384,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(39,1),(41,1),(44,1),(271,1),(275,1)}
        24:{1,4,5,7}:{(12,1),(40,1),(41,1),(444,1),(461,1)}
        25:{1,3,4,5}:{(15,1),(33,1),(43,1),(461,1),(462,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(44,1),(99,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(16,1),(44,1),(45,1)}
        28:{2,3,5}:{(15,1),(17,1),(43,1),(46,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(45,1),(47,1),(84,1),(258,1)}
        30:{1,3,4,6}:{(17,1),(46,1),(47,1),(48,1),(85,1),(102,1),(163,1),(184,1)}
        31:{1,3,4,5,6}:{(33,1),(49,1),(50,1),(98,1),(108,1),(176,1),(197,1),(279,1),(382,1),(396,1)}
        32:{1,3,5,6,7}:{(18,1),(23,1),(51,1),(52,1),(55,1),(119,1),(301,1),(304,1),(405,1)}
        33:{1,3,4,6}:{(20,1),(25,1),(53,1),(54,1),(424,1),(426,1)}
        34:{1,2,4,6,7}:{(18,1),(19,1),(26,1),(52,1),(55,1),(120,1),(150,1),(241,1),(343,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(53,1),(55,1),(56,1),(306,1),(408,1)}
        36:{2,3,5,6}:{(20,1),(28,1),(54,1),(56,1),(57,1),(69,1),(137,1),(148,1),(207,1)}
        37:{1,2,4,6,7}:{(21,1),(58,1),(59,1),(72,1),(127,1),(128,1),(141,1),(201,1),(234,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(59,1),(60,1),(61,1),(208,1),(336,1)}
        39:{2,3,5,6}:{(22,1),(23,1),(60,1),(62,1),(69,1),(133,1),(137,1),(219,1),(222,1)}
        40:{2,4,5,7}:{(22,1),(24,1),(61,1),(62,1),(63,1),(409,1),(427,1)}
        41:{1,4,6}:{(23,1),(24,1),(62,1)}
        42:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(53,1),(63,1),(66,1),(67,1),(119,1)}
        43:{2,4,5}:{(25,1),(28,1),(54,1),(68,1)}
        44:{1,3,6}:{(26,1),(27,1),(69,1)}
        45:{2,3,5,7}:{(27,1),(28,1),(29,1),(67,1),(69,1),(70,1)}
        46:{1,3,5}:{(28,1),(30,1),(68,1),(71,1)}
        47:{1,3,4,7}:{(29,1),(30,1),(70,1),(72,1),(121,1),(210,1)}
        48:{1,2,4,6}:{(30,1),(71,1),(72,1),(73,1),(141,1),(143,1)}
        49:{1,3,4,5,7}:{(31,1),(53,1),(76,1),(77,1),(119,1),(147,1),(203,1),(246,1),(308,1),(348,1),(408,1)}
        50:{2,4,5,6}:{(31,1),(54,1),(74,1),(77,1),(78,1),(137,1),(148,1),(243,1),(435,1)}
        51:{2,3,5,6,7}:{(32,1),(39,1),(79,1),(80,1),(86,1),(156,1),(160,1),(249,1),(251,1),(292,1),(362,1),(391,1)}
        52:{1,4,6,7}:{(32,1),(41,1),(80,1),(82,1),(444,1)}
        53:{1,3,4,7}:{(33,1),(35,1),(84,1),(444,1),(447,1)}
        54:{2,4,6}:{(33,1),(36,1),(43,1),(84,1),(85,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(44,1),(86,1),(391,1)}
        56:{2,3,5,7}:{(35,1),(36,1),(84,1),(86,1),(87,1),(160,1),(192,1),(258,1)}
        57:{1,3,5,6}:{(36,1),(46,1),(85,1),(87,1),(88,1),(102,1),(163,1),(181,1)}
        58:{1,2,3,6,7}:{(37,1),(89,1),(105,1),(170,1),(185,1),(249,1),(261,1),(463,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(90,1),(251,1),(285,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(90,1),(92,1),(102,1),(170,1),(181,1)}
        61:{1,4,5,7}:{(38,1),(40,1),(92,1),(365,1),(385,1)}
        62:{2,4,6}:{(39,1),(40,1),(41,1),(92,1),(95,1)}
        63:{3,4,5,7}:{(40,1),(95,1),(156,1),(447,1),(462,1)}
        64:{2,3,4,5}:{(43,1),(81,1),(97,1),(180,1),(295,1),(462,1)}
        65:{1,4,5,6}:{(41,1),(82,1),(94,1),(98,1),(275,1)}
        66:{1,3,4,6}:{(41,1),(42,1),(44,1),(95,1),(98,1),(99,1)}
        67:{2,4,5,7}:{(42,1),(43,1),(45,1),(84,1),(99,1),(100,1),(160,1)}
        68:{1,4,5}:{(43,1),(46,1),(85,1)}
        69:{2,3,6}:{(44,1),(45,1),(99,1),(102,1)}
        70:{1,3,5,7}:{(45,1),(46,1),(47,1),(100,1),(102,1),(103,1)}
        71:{1,2,5}:{(46,1),(48,1)}
        72:{1,2,4,7}:{(47,1),(48,1),(103,1),(105,1)}
        73:{1,2,3,6}:{(48,1),(104,1),(105,1),(163,1)}
        74:{2,3,5,6}:{(50,1),(81,1),(107,1),(108,1),(382,1)}
        75:{1,4,5,6,7}:{(82,1),(106,1),(109,1),(287,1),(291,1),(395,1)}
        76:{1,3,4,6,7}:{(49,1),(109,1),(110,1),(189,1),(191,1),(291,1),(391,1)}
        77:{2,4,5,7}:{(49,1),(50,1),(84,1),(107,1),(110,1),(111,1),(160,1),(192,1),(294,1),(393,1)}
        78:{1,4,5,6}:{(50,1),(85,1),(108,1),(111,1),(181,1),(290,1),(467,1)}
        79:{1,3,5,6,7}:{(51,1),(60,1),(113,1),(114,1),(123,1),(199,1),(200,1),(208,1),(313,1)}
        80:{2,4,6,7}:{(51,1),(52,1),(62,1),(114,1),(115,1),(116,1),(409,1)}
        81:{2,3,4,6}:{(54,1),(64,1),(74,1),(117,1),(118,1),(207,1),(243,1),(426,1)}
        82:{1,4,5,7}:{(52,1),(65,1),(115,1),(119,1),(304,1)}
        83:{1,3,4,6,7}:{(52,1),(53,1),(55,1),(66,1),(116,1),(119,1),(120,1)}
        84:{2,4,7}:{(53,1),(54,1),(56,1),(121,1)}
        85:{1,4,6}:{(54,1),(57,1),(68,1),(121,1)}
        86:{2,3,6,7}:{(55,1),(56,1),(69,1),(120,1),(123,1),(241,1)}
        87:{1,3,5,7}:{(56,1),(57,1),(121,1),(123,1),(124,1),(208,1),(210,1)}
        88:{1,2,5,6}:{(57,1),(71,1),(122,1),(124,1),(141,1),(148,1)}
        89:{1,2,3,5,7}:{(58,1),(59,1),(126,1),(127,1),(129,1),(300,1),(313,1),(475,1),(518,1)}
        90:{1,2,5,6}:{(59,1),(60,1),(128,1),(141,1),(222,1)}
        91:{1,2,4,5,7}:{(59,1),(61,1),(127,1),(128,1),(129,1),(132,1),(215,1)}
        92:{1,4,6}:{(60,1),(61,1),(62,1)}
        93:{1,3,4,5,7}:{(61,1),(63,1),(129,1),(131,1),(132,1),(200,1),(299,1),(318,1)}
        94:{2,4,5,6}:{(62,1),(65,1),(115,1),(130,1),(133,1),(137,1),(222,1)}
        95:{3,4,6}:{(62,1),(63,1),(133,1)}
        96:{2,3,4,5,7}:{(63,1),(64,1),(67,1),(117,1),(132,1),(134,1),(135,1),(204,1),(229,1),(346,1),(397,1),(409,1),(414,1),(427,1),(480,1),(523,1)}
        97:{1,3,4,5}:{(64,1),(68,1),(118,1),(136,1),(140,1),(225,1),(342,1)}
        98:{1,3,5,6}:{(65,1),(66,1),(119,1),(133,1),(137,1)}
        99:{2,4,6}:{(66,1),(67,1),(69,1),(137,1),(138,1)}
       100:{1,4,5,7}:{(67,1),(68,1),(70,1),(121,1),(138,1),(208,1)}
       101:{1,2,4,5}:{(68,1),(71,1),(122,1),(136,1),(140,1),(143,1)}
       102:{1,3,6}:{(69,1),(70,1),(138,1),(141,1)}
       103:{1,2,5,7}:{(70,1),(71,1),(72,1),(141,1)}
       104:{1,2,3,5}:{(71,1),(73,1),(140,1),(143,1)}
       105:{1,2,3,7}:{(72,1),(73,1),(210,1)}
       106:{2,4,5,6,7}:{(75,1),(115,1),(144,1),(145,1),(149,1),(236,1),(239,1),(343,1),(434,1)}
       107:{2,3,5,7}:{(74,1),(77,1),(117,1),(146,1),(147,1),(408,1)}
       108:{1,3,5,6}:{(74,1),(78,1),(118,1),(147,1),(148,1)}
       109:{1,3,5,6,7}:{(75,1),(76,1),(119,1),(145,1),(149,1),(348,1)}
       110:{2,4,6,7}:{(76,1),(77,1),(146,1),(149,1),(150,1),(241,1)}
       111:{1,4,5,7}:{(77,1),(78,1),(121,1),(147,1),(150,1),(208,1),(341,1),(431,1)}
       112:{1,2,4,5,6}:{(78,1),(122,1),(148,1),(151,1),(152,1),(214,1),(231,1),(243,1),(317,1),(332,1),(335,1),(435,1),(436,1)}
       113:{1,2,5,6,7}:{(79,1),(90,1),(153,1),(164,1),(251,1),(260,1),(287,1),(292,1)}
       114:{1,4,6,7}:{(79,1),(80,1),(92,1),(154,1),(365,1)}
       115:{2,4,5,7}:{(80,1),(82,1),(94,1),(154,1),(156,1),(160,1),(251,1)}
       116:{3,4,6,7}:{(80,1),(95,1),(156,1),(391,1),(447,1)}
       117:{2,3,4,7}:{(81,1),(84,1),(107,1),(158,1),(258,1),(294,1),(447,1)}
       118:{1,3,4,6}:{(81,1),(85,1),(97,1),(108,1),(158,1),(159,1),(163,1),(254,1),(290,1)}
       119:{1,3,5,7}:{(82,1),(83,1),(98,1),(156,1),(160,1)}
       120:{2,4,6,7}:{(83,1),(84,1),(86,1),(99,1),(160,1),(161,1)}
       121:{1,4,7}:{(84,1),(85,1),(87,1)}
       122:{1,2,4,6}:{(85,1),(88,1),(101,1),(159,1),(162,1),(163,1)}
       123:{1,3,6,7}:{(86,1),(87,1),(102,1),(161,1),(164,1)}
       124:{1,2,5,7}:{(87,1),(88,1),(162,1),(164,1),(192,1)}
       125:{1,2,3,5,6}:{(88,1),(104,1),(163,1),(165,1),(166,1),(185,1),(193,1),(263,1),(283,1),(285,1),(367,1),(368,1)}
       126:{1,2,3,5,6}:{(89,1),(90,1),(167,1),(170,1),(185,1),(266,1),(270,1),(283,1),(285,1),(458,1),(510,1),(539,1)}
       127:{1,2,4,7}:{(89,1),(167,1),(168,1),(350,1),(365,1)}
       128:{1,2,4,6}:{(90,1),(91,1),(92,1),(170,1),(173,1)}
       129:{1,3,5,7}:{(91,1),(168,1),(170,1),(171,1),(266,1)}
       130:{1,4,5,6}:{(92,1),(94,1),(154,1),(172,1),(181,1)}
       131:{1,3,4,6}:{(92,1),(93,1),(95,1),(170,1),(172,1),(173,1)}
       132:{2,4,5,7}:{(93,1),(171,1),(173,1),(174,1),(251,1),(350,1),(369,1)}
       133:{3,5,6}:{(94,1),(95,1),(156,1)}
       134:{2,3,4,6}:{(95,1),(96,1),(99,1),(173,1),(177,1),(178,1),(281,1),(383,1),(394,1),(506,1),(538,1)}
       135:{1,3,4,5,7}:{(96,1),(97,1),(100,1),(158,1),(174,1),(178,1),(179,1),(183,1),(256,1),(277,1),(365,1),(385,1),(390,1),(437,1),(444,1),(447,1),(451,1),(461,1),(462,1),(537,1)}
       136:{2,4,5}:{(97,1),(159,1),(180,1)}
       137:{2,5,6}:{(98,1),(99,1),(160,1),(181,1)}
       138:{1,4,6}:{(99,1),(100,1),(102,1),(181,1)}
       139:{1,2,4,5,7}:{(100,1),(101,1),(103,1),(162,1),(179,1),(182,1),(183,1),(186,1),(260,1),(285,1),(365,1),(385,1),(497,1),(507,1),(537,1),(550,1)}
       140:{1,3,5}:{(101,1),(163,1),(180,1),(184,1)}
       141:{1,2,6}:{(102,1),(103,1)}
       142:{1,2,3,5,7}:{(103,1),(104,1),(105,1),(183,1),(185,1),(186,1),(285,1),(533,1),(539,1),(550,1)}
       143:{1,2,4}:{(104,1),(184,1)}
       144:{1,4,5,6,7}:{(106,1),(154,1),(187,1),(194,1),(291,1),(466,1)}
       145:{3,5,6,7}:{(106,1),(156,1),(189,1),(391,1),(468,1)}
       146:{2,3,6,7}:{(107,1),(110,1),(191,1),(391,1)}
       147:{1,3,5,7}:{(107,1),(108,1),(111,1),(158,1),(191,1),(192,1)}
       148:{2,5,6}:{(108,1),(159,1),(192,1)}
       149:{2,5,6,7}:{(109,1),(110,1),(160,1),(194,1),(393,1)}
       150:{1,4,6,7}:{(110,1),(111,1),(191,1),(194,1)}
       151:{1,2,4,5,7}:{(111,1),(112,1),(162,1),(192,1),(195,1),(196,1),(260,1),(294,1),(361,1),(365,1),(393,1),(395,1)}
       152:{1,3,5,6}:{(112,1),(163,1),(193,1),(196,1),(197,1),(263,1),(367,1),(382,1)}
       153:{1,2,4,6,7}:{(113,1),(114,1),(128,1),(198,1),(199,1),(201,1),(338,1),(343,1),(428,1)}
       154:{1,4,5,7}:{(114,1),(115,1),(130,1),(200,1),(208,1)}
       155:{1,3,4,6,7}:{(114,1),(116,1),(131,1),(199,1),(200,1),(201,1),(299,1)}
       156:{3,5,7}:{(115,1),(116,1),(133,1)}
       157:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(134,1),(146,1),(201,1),(204,1),(205,1),(239,1),(310,1),(337,1),(345,1),(397,1),(409,1),(433,1),(493,1)}
       158:{1,3,4,7}:{(117,1),(118,1),(121,1),(147,1),(206,1),(210,1),(306,1),(341,1)}
       159:{2,4,6}:{(118,1),(136,1),(148,1),(206,1),(207,1)}
       160:{2,5,7}:{(119,1),(120,1),(137,1),(208,1)}
       161:{1,4,6,7}:{(120,1),(121,1),(123,1),(138,1),(208,1)}
       162:{1,2,4,7}:{(121,1),(122,1),(124,1),(206,1),(210,1)}
       163:{1,3,6}:{(122,1),(140,1),(207,1),(210,1)}
       164:{1,2,6,7}:{(123,1),(124,1),(141,1),(241,1)}
       165:{1,2,3,5,7}:{(124,1),(125,1),(210,1),(212,1),(213,1),(242,1),(313,1),(315,1),(316,1)}
       166:{1,2,4,6}:{(125,1),(143,1),(211,1),(213,1),(214,1),(243,1),(335,1)}
       167:{1,2,4,6}:{(126,1),(127,1),(215,1),(216,1),(322,1),(335,1),(548,1)}
       168:{1,3,4,7}:{(127,1),(129,1),(216,1),(217,1),(518,1)}
       169:{1,2,4,5,6}:{(128,1),(130,1),(198,1),(215,1),(218,1),(222,1),(231,1),(322,1),(328,1),(332,1),(335,1),(422,1),(485,1)}
       170:{1,3,6}:{(128,1),(129,1),(219,1)}
       171:{2,3,5,7}:{(129,1),(132,1),(217,1),(219,1),(220,1),(319,1)}
       172:{1,3,5,6}:{(130,1),(131,1),(133,1),(200,1),(222,1)}
       173:{2,4,6}:{(131,1),(132,1),(219,1),(222,1),(223,1)}
       174:{1,4,5,7}:{(132,1),(220,1),(223,1),(304,1),(398,1),(415,1)}
       175:{1,2,4,5}:{(136,1),(202,1),(225,1),(326,1),(342,1),(402,1)}
       176:{3,4,5,6}:{(133,1),(203,1),(226,1),(426,1),(496,1)}
       177:{2,3,5,6}:{(133,1),(134,1),(137,1),(204,1),(222,1),(226,1),(227,1),(435,1),(496,1),(532,1)}
       178:{1,3,4,6}:{(134,1),(135,1),(138,1),(223,1),(227,1),(228,1),(232,1),(330,1),(335,1),(424,1),(426,1),(432,1),(547,1)}
       179:{2,4,5,7}:{(135,1),(136,1),(206,1),(228,1),(229,1),(309,1),(409,1),(427,1),(470,1),(482,1)}
       180:{2,3,5}:{(136,1),(140,1),(207,1),(225,1),(230,1)}
       181:{1,5,6}:{(137,1),(138,1),(208,1)}
       182:{1,2,4,6}:{(138,1),(139,1),(141,1),(228,1),(231,1),(232,1),(335,1),(547,1),(552,1)}
       183:{1,3,5,7}:{(139,1),(140,1),(210,1),(229,1),(232,1),(233,1),(336,1),(518,1),(525,1)}
       184:{1,3,4}:{(140,1),(143,1),(230,1)}
       185:{1,2,3,6}:{(141,1),(142,1),(232,1),(234,1),(552,1)}
       186:{1,2,4,7}:{(142,1),(143,1),(233,1),(234,1),(548,1)}
       187:{1,3,5,6,7}:{(144,1),(145,1),(200,1),(235,1),(236,1),(494,1)}
       188:{1,2,5,6}:{(148,1),(202,1),(237,1),(238,1),(402,1),(474,1)}
       189:{3,4,6,7}:{(145,1),(203,1),(239,1)}
       190:{2,3,5,6,7}:{(145,1),(146,1),(149,1),(204,1),(236,1),(239,1),(240,1),(337,1)}
       191:{1,3,6,7}:{(146,1),(147,1),(150,1),(241,1)}
       192:{2,5,7}:{(147,1),(148,1),(206,1),(241,1)}
       193:{2,3,5,6}:{(148,1),(152,1),(207,1),(238,1),(242,1),(243,1),(312,1),(411,1),(435,1)}
       194:{1,5,6,7}:{(149,1),(150,1),(208,1),(431,1)}
       195:{1,2,4,6,7}:{(150,1),(151,1),(241,1),(244,1),(245,1),(317,1),(343,1),(345,1),(347,1)}
       196:{1,3,5,7}:{(151,1),(152,1),(210,1),(242,1),(245,1),(246,1),(408,1)}
       197:{1,3,4,6}:{(152,1),(243,1),(246,1),(247,1),(335,1),(426,1)}
       198:{1,2,4,5,7}:{(153,1),(154,1),(169,1),(248,1),(251,1),(260,1),(350,1),(356,1),(361,1),(365,1),(442,1),(497,1)}
       199:{1,3,6,7}:{(153,1),(170,1),(248,1),(249,1),(391,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(156,1),(172,1),(251,1)}
       201:{2,4,6,7}:{(155,1),(173,1),(249,1),(251,1),(252,1),(350,1)}
       202:{1,2,4,6}:{(159,1),(175,1),(188,1),(253,1),(254,1),(290,1)}
       203:{3,4,5,7}:{(156,1),(176,1),(189,1),(255,1),(447,1),(468,1)}
       204:{2,3,5,7}:{(156,1),(157,1),(160,1),(177,1),(251,1),(255,1),(256,1),(393,1),(468,1),(516,1)}
       205:{1,3,4,6,7}:{(157,1),(158,1),(161,1),(178,1),(191,1),(252,1),(256,1),(257,1),(261,1),(291,1),(358,1),(365,1),(386,1),(389,1),(391,1),(437,1),(444,1),(447,1),(515,1)}
       206:{2,4,7}:{(158,1),(159,1),(192,1),(258,1)}
       207:{2,3,6}:{(159,1),(163,1),(180,1),(254,1),(258,1)}
       208:{1,5,7}:{(160,1),(161,1),(181,1)}
       209:{1,2,4,6,7}:{(161,1),(162,1),(164,1),(182,1),(257,1),(260,1),(261,1),(365,1),(463,1),(497,1),(515,1)}
       210:{1,3,7}:{(162,1),(163,1),(258,1)}
       211:{1,3,4,6}:{(163,1),(166,1),(184,1),(259,1),(262,1),(263,1),(367,1)}
       212:{1,2,3,6,7}:{(164,1),(165,1),(185,1),(261,1),(264,1),(293,1),(367,1),(533,1)}
       213:{1,2,4,7}:{(165,1),(166,1),(262,1),(294,1),(365,1)}
       214:{1,2,4,5}:{(166,1),(263,1),(285,1),(295,1),(385,1)}
       215:{1,2,4,5}:{(167,1),(266,1),(285,1),(369,1),(385,1)}
       216:{1,3,4,6}:{(167,1),(168,1),(170,1),(266,1),(267,1),(510,1),(540,1)}
       217:{2,3,4,7}:{(168,1),(171,1),(267,1),(268,1),(350,1),(498,1)}
       218:{1,3,5,6}:{(169,1),(170,1),(248,1),(266,1),(269,1),(270,1),(382,1),(510,1)}
       219:{2,3,6}:{(170,1),(171,1),(173,1),(271,1)}
       220:{1,3,5,7}:{(171,1),(174,1),(268,1),(271,1),(272,1),(370,1)}
       221:{1,3,4,5,6}:{(172,1),(176,1),(250,1),(269,1),(274,1),(279,1),(378,1),(382,1),(460,1),(517,1)}
       222:{2,5,6}:{(172,1),(173,1),(251,1),(275,1)}
       223:{1,4,6}:{(173,1),(174,1),(271,1),(275,1)}
       224:{1,2,4,5,7}:{(174,1),(175,1),(179,1),(253,1),(272,1),(276,1),(277,1),(357,1),(377,1),(390,1),(438,1),(441,1),(444,1),(452,1),(457,1),(461,1)}
       225:{1,3,5}:{(175,1),(180,1),(254,1),(278,1)}
       226:{2,4,5,6}:{(176,1),(177,1),(255,1),(279,1),(383,1)}
       227:{1,3,5,6}:{(177,1),(178,1),(181,1),(256,1),(275,1),(279,1),(280,1),(382,1),(467,1),(543,1)}
       228:{2,4,6}:{(178,1),(179,1),(280,1),(281,1)}
       229:{2,3,5,7}:{(179,1),(180,1),(183,1),(258,1),(277,1),(281,1),(282,1),(384,1),(498,1),(508,1)}
       230:{2,3,4}:{(180,1),(184,1),(278,1)}
       231:{1,2,5,6}:{(181,1),(182,1),(260,1),(280,1),(283,1),(285,1),(543,1)}
       232:{1,3,6}:{(182,1),(183,1),(281,1)}
       233:{1,3,4,7}:{(183,1),(184,1),(186,1),(282,1),(284,1),(365,1),(540,1)}
       234:{1,2,4,6}:{(185,1),(186,1),(284,1),(285,1)}
       235:{1,3,4,6,7}:{(187,1),(189,1),(250,1),(286,1),(291,1),(386,1),(391,1)}
       236:{2,5,6,7}:{(187,1),(251,1),(286,1),(287,1),(516,1)}
       237:{1,2,5,7}:{(188,1),(192,1),(253,1),(288,1),(289,1)}
       238:{1,3,5,6}:{(188,1),(193,1),(254,1),(289,1),(290,1),(360,1),(446,1),(467,1)}
       239:{2,4,6,7}:{(189,1),(190,1),(255,1),(291,1)}
       240:{1,3,5,6,7}:{(190,1),(191,1),(194,1),(256,1),(287,1),(291,1),(292,1),(386,1),(391,1)}
       241:{2,6,7}:{(191,1),(192,1)}
       242:{2,3,5,7}:{(192,1),(193,1),(196,1),(258,1),(289,1),(293,1),(294,1),(393,1)}
       243:{2,4,6}:{(193,1),(197,1),(290,1),(294,1),(295,1)}
       244:{1,2,5,6,7}:{(194,1),(195,1),(260,1),(292,1),(296,1),(368,1),(393,1),(463,1)}
       245:{1,3,6,7}:{(195,1),(196,1),(293,1),(367,1),(391,1)}
       246:{1,3,4,7}:{(196,1),(197,1),(294,1),(365,1),(447,1)}
       247:{1,3,4,5}:{(197,1),(263,1),(295,1),(385,1),(462,1)}
       248:{1,3,5,7}:{(198,1),(199,1),(218,1),(299,1),(300,1),(408,1),(518,1)}
       249:{2,3,6,7}:{(199,1),(201,1),(219,1),(300,1),(301,1),(428,1)}
       250:{1,3,4,5,7}:{(200,1),(203,1),(221,1),(235,1),(299,1),(303,1),(308,1),(403,1),(408,1),(477,1),(494,1)}
       251:{2,5,7}:{(200,1),(201,1),(222,1),(304,1)}
       252:{1,4,6,7}:{(201,1),(223,1),(301,1),(304,1),(398,1)}
       253:{1,2,4,7}:{(202,1),(206,1),(237,1),(306,1),(341,1)}
       254:{1,3,6}:{(202,1),(207,1),(225,1),(306,1)}
       255:{2,4,5,7}:{(203,1),(204,1),(226,1),(239,1),(308,1),(409,1)}
       256:{1,3,5,7}:{(204,1),(205,1),(208,1),(227,1),(304,1),(308,1),(309,1),(408,1),(431,1),(531,1)}
       257:{2,4,6,7}:{(205,1),(206,1),(228,1),(241,1),(309,1),(310,1),(409,1),(428,1),(470,1)}
       258:{2,3,7}:{(206,1),(207,1),(210,1),(306,1)}
       259:{2,3,4,6}:{(207,1),(211,1),(230,1),(243,1),(307,1),(311,1),(312,1),(411,1)}
       260:{1,2,5,7}:{(208,1),(209,1),(231,1),(309,1),(313,1),(531,1)}
       261:{1,3,6,7}:{(209,1),(210,1),(232,1),(310,1),(313,1),(518,1)}
       262:{1,3,4,7}:{(210,1),(211,1),(213,1),(311,1),(315,1)}
       263:{1,3,5}:{(211,1),(214,1),(312,1)}
       264:{1,2,4,6,7}:{(212,1),(213,1),(234,1),(314,1),(316,1),(317,1),(345,1),(544,1),(552,1)}
       265:{1,2,4,5,7}:{(213,1),(214,1),(315,1),(316,1),(317,1),(346,1),(412,1)}
       266:{1,3,5}:{(215,1),(216,1),(319,1)}
       267:{2,3,4,6}:{(216,1),(217,1),(219,1),(319,1),(320,1),(322,1),(486,1),(526,1)}
       268:{1,3,4,7}:{(217,1),(220,1),(320,1),(321,1),(398,1),(471,1)}
       269:{1,3,4,6}:{(218,1),(299,1),(318,1),(322,1),(335,1),(426,1)}
       270:{2,3,5,6}:{(218,1),(219,1),(222,1),(300,1),(319,1),(322,1),(323,1),(422,1),(486,1)}
       271:{1,3,6}:{(219,1),(220,1),(223,1),(324,1)}
       272:{1,2,5,7}:{(220,1),(321,1),(324,1),(416,1)}
       273:{1,2,3,5}:{(225,1),(302,1),(326,1),(402,1)}
       274:{2,4,5,6}:{(221,1),(222,1),(303,1),(322,1),(327,1),(328,1),(422,1),(490,1),(532,1)}
       275:{1,5,6}:{(222,1),(223,1),(304,1)}
       276:{1,2,4,6}:{(223,1),(224,1),(228,1),(324,1),(329,1),(330,1),(424,1),(432,1),(474,1)}
       277:{1,3,5,7}:{(224,1),(225,1),(229,1),(306,1),(330,1),(331,1),(425,1),(471,1),(483,1)}
       278:{1,3,4}:{(225,1),(230,1),(326,1)}
       279:{1,4,5,6}:{(226,1),(227,1),(308,1),(332,1),(335,1),(424,1)}
       280:{2,5,6}:{(227,1),(228,1),(309,1)}
       281:{2,3,6}:{(228,1),(229,1),(232,1),(330,1)}
       282:{2,3,4,7}:{(229,1),(230,1),(233,1),(331,1),(334,1),(409,1),(526,1)}
       283:{1,3,5,6}:{(231,1),(232,1),(313,1),(333,1),(335,1),(336,1)}
       284:{1,3,4,6}:{(232,1),(233,1),(234,1),(334,1),(335,1),(336,1)}
       285:{1,2,5}:{(234,1),(336,1)}
       286:{2,4,6,7}:{(235,1),(236,1),(303,1),(337,1),(338,1),(428,1)}
       287:{1,5,6,7}:{(236,1),(304,1),(338,1),(531,1)}
       288:{1,2,6,7}:{(237,1),(241,1),(340,1),(474,1)}
       289:{1,3,5,7}:{(237,1),(238,1),(242,1),(306,1),(340,1),(341,1),(431,1)}
       290:{1,4,6}:{(238,1),(243,1),(341,1),(342,1)}
       291:{1,4,6,7}:{(239,1),(240,1),(308,1),(343,1)}
       292:{2,5,6,7}:{(240,1),(241,1),(309,1),(343,1),(428,1)}
       293:{2,3,6,7}:{(241,1),(242,1),(245,1),(340,1),(345,1),(411,1)}
       294:{2,4,7}:{(242,1),(243,1),(246,1),(341,1)}
       295:{2,4,5}:{(243,1),(247,1),(312,1),(342,1)}
       296:{1,3,5,6,7}:{(244,1),(245,1),(313,1),(344,1),(347,1),(348,1),(413,1),(492,1),(531,1)}
       297:{1,3,4,6,7}:{(245,1),(246,1),(345,1),(347,1),(348,1),(349,1),(433,1)}
       298:{1,3,4,5,7}:{(246,1),(247,1),(315,1),(346,1),(348,1),(349,1),(412,1),(480,1)}
       299:{1,3,4,7}:{(248,1),(269,1),(350,1),(365,1),(447,1)}
       300:{2,3,5,7}:{(248,1),(249,1),(251,1),(270,1),(350,1),(351,1),(442,1),(498,1)}
       301:{1,3,6,7}:{(249,1),(252,1),(271,1),(351,1),(352,1)}
       302:{1,2,3,6}:{(254,1),(273,1),(353,1),(354,1)}
       303:{2,4,5,7}:{(250,1),(251,1),(274,1),(286,1),(350,1),(355,1),(356,1),(442,1),(503,1),(516,1)}
       304:{1,5,7}:{(251,1),(252,1),(275,1)}
       305:{1,2,4,6,7}:{(252,1),(253,1),(257,1),(276,1),(288,1),(352,1),(357,1),(358,1),(389,1),(438,1),(444,1)}
       306:{1,3,7}:{(253,1),(254,1),(258,1)}
       307:{1,3,4,6}:{(254,1),(259,1),(278,1),(290,1),(354,1),(359,1),(360,1),(446,1)}
       308:{1,4,5,7}:{(255,1),(256,1),(279,1),(291,1),(361,1),(365,1),(444,1)}
       309:{2,5,7}:{(256,1),(257,1),(280,1)}
       310:{2,3,6,7}:{(257,1),(258,1),(261,1),(281,1),(358,1),(362,1),(391,1),(498,1)}
       311:{2,3,4,7}:{(258,1),(259,1),(262,1),(294,1),(359,1),(364,1)}
       312:{2,3,5}:{(259,1),(263,1),(295,1),(360,1)}
       313:{1,3,5,7}:{(260,1),(261,1),(283,1),(362,1),(365,1)}
       314:{1,3,4,6,7}:{(261,1),(262,1),(264,1),(284,1),(363,1),(365,1),(366,1),(367,1),(450,1),(515,1),(534,1),(551,1)}
       315:{1,3,5,7}:{(262,1),(263,1),(265,1),(364,1),(367,1)}
       316:{1,2,5,7}:{(264,1),(285,1),(366,1),(368,1),(393,1)}
       317:{1,2,4,6}:{(265,1),(367,1),(368,1),(394,1),(450,1)}
       318:{1,3,4,5}:{(266,1),(269,1),(369,1),(385,1),(462,1)}
       319:{2,3,5}:{(266,1),(267,1),(369,1),(370,1)}
       320:{1,3,4,6}:{(267,1),(268,1),(271,1),(370,1),(371,1),(374,1),(455,1),(509,1)}
       321:{1,2,4,7}:{(268,1),(272,1),(371,1),(372,1)}
       322:{2,4,6}:{(269,1),(270,1),(350,1),(369,1),(374,1)}
       323:{1,3,5,6}:{(270,1),(271,1),(275,1),(351,1),(370,1),(374,1),(375,1),(455,1)}
       324:{1,2,6}:{(271,1),(272,1)}
       325:{1,2,3,5,7}:{(272,1),(273,1),(277,1),(353,1),(372,1),(376,1),(377,1),(441,1),(453,1),(457,1)}
       326:{1,2,4}:{(273,1),(278,1)}
       327:{2,3,5,6}:{(274,1),(355,1),(373,1),(378,1),(382,1)}
       328:{1,4,5,6}:{(274,1),(275,1),(356,1),(374,1),(378,1),(513,1),(543,1)}
       329:{1,2,5,6}:{(275,1),(276,1),(280,1),(357,1),(380,1),(457,1),(467,1)}
       330:{1,3,6}:{(276,1),(277,1),(281,1)}
       331:{1,3,4,7}:{(277,1),(278,1),(282,1),(377,1),(381,1),(444,1),(509,1)}
       332:{2,4,5,6}:{(279,1),(280,1),(361,1),(382,1),(383,1)}
       333:{2,3,5,6}:{(280,1),(281,1),(283,1),(362,1),(380,1),(382,1),(383,1),(384,1)}
       334:{2,3,4,6}:{(281,1),(282,1),(284,1),(381,1),(383,1),(384,1)}
       335:{1,4,6}:{(283,1),(365,1),(383,1),(385,1)}
       336:{1,3,5}:{(284,1),(285,1),(384,1),(385,1)}
       337:{2,3,6,7}:{(286,1),(355,1),(386,1),(391,1)}
       338:{1,4,6,7}:{(286,1),(287,1),(356,1),(386,1)}
       339:{1,2,5,6,7}:{(287,1),(288,1),(292,1),(357,1),(387,1),(388,1),(501,1),(516,1)}
       340:{1,3,6,7}:{(288,1),(289,1),(293,1),(389,1),(446,1)}
       341:{1,4,7}:{(289,1),(290,1),(294,1)}
       342:{1,4,5}:{(290,1),(295,1),(360,1)}
       343:{2,4,6,7}:{(291,1),(292,1),(361,1),(391,1)}
       344:{2,3,5,6,7}:{(292,1),(293,1),(296,1),(362,1),(388,1),(391,1),(392,1),(393,1),(449,1),(464,1),(468,1),(516,1)}
       345:{2,4,6,7}:{(293,1),(294,1),(297,1),(389,1),(393,1),(394,1)}
       346:{2,4,5,7}:{(294,1),(295,1),(298,1),(364,1),(390,1),(393,1),(394,1)}
       347:{1,4,6,7}:{(296,1),(365,1),(392,1),(395,1),(450,1)}
       348:{1,3,5,7}:{(297,1),(393,1),(395,1),(396,1),(468,1)}
       349:{1,3,4,6}:{(298,1),(367,1),(394,1),(396,1),(450,1),(506,1)}
       350:{2,4,7}:{(299,1),(300,1),(322,1),(398,1)}
       351:{1,3,5,7}:{(300,1),(301,1),(304,1),(323,1),(398,1),(399,1),(471,1)}
       352:{1,2,6,7}:{(301,1),(324,1),(399,1),(428,1)}
       353:{1,2,3,7}:{(302,1),(306,1),(401,1)}
       354:{1,2,4,6}:{(302,1),(307,1),(326,1),(401,1),(402,1),(474,1)}
       355:{2,3,5,7}:{(303,1),(327,1),(337,1),(397,1),(403,1),(408,1)}
       356:{1,4,5,7}:{(303,1),(304,1),(328,1),(338,1),(398,1),(403,1),(522,1),(531,1)}
       357:{1,2,5,7}:{(304,1),(305,1),(309,1),(329,1),(405,1),(431,1)}
       358:{1,3,6,7}:{(305,1),(306,1),(310,1),(330,1),(405,1),(471,1)}
       359:{1,3,4,7}:{(306,1),(307,1),(311,1),(341,1),(401,1),(407,1)}
       360:{1,3,5}:{(307,1),(312,1),(342,1),(402,1)}
       361:{2,4,5,7}:{(308,1),(309,1),(332,1),(343,1),(408,1),(409,1)}
       362:{2,3,5,7}:{(309,1),(310,1),(313,1),(333,1),(405,1),(408,1),(409,1)}
       363:{2,3,4,6,7}:{(310,1),(311,1),(314,1),(334,1),(345,1),(406,1),(409,1),(410,1),(411,1),(433,1),(481,1),(493,1),(519,1),(546,1)}
       364:{2,3,5,7}:{(311,1),(312,1),(315,1),(346,1),(407,1),(411,1)}
       365:{1,4,7}:{(313,1),(335,1),(409,1)}
       366:{1,3,5,7}:{(314,1),(316,1),(336,1),(410,1),(412,1),(413,1),(531,1)}
       367:{1,3,6}:{(315,1),(317,1),(411,1)}
       368:{1,2,5,6}:{(316,1),(317,1),(413,1),(435,1),(552,1)}
       369:{2,4,5}:{(318,1),(319,1),(322,1),(415,1)}
       370:{1,3,5}:{(319,1),(320,1),(415,1),(416,1)}
       371:{1,2,4,6}:{(320,1),(321,1),(324,1),(416,1),(417,1),(484,1)}
       372:{1,2,3,7}:{(321,1),(417,1),(471,1)}
       373:{2,3,4,6}:{(322,1),(327,1),(397,1),(414,1),(418,1),(426,1),(486,1),(490,1)}
       374:{1,4,6}:{(322,1),(323,1),(398,1),(415,1)}
       375:{1,2,5,6}:{(323,1),(324,1),(399,1),(416,1),(419,1),(422,1)}
       376:{1,2,3,6}:{(324,1),(325,1),(330,1),(421,1),(474,1)}
       377:{1,2,4,7}:{(325,1),(326,1),(331,1),(421,1),(484,1)}
       378:{1,3,5,6}:{(327,1),(328,1),(403,1),(418,1),(422,1)}
       379:{1,2,4,5,6}:{(328,1),(329,1),(332,1),(404,1),(419,1),(422,1),(423,1),(424,1),(488,1),(490,1),(495,1),(521,1),(532,1)}
       380:{1,3,5,6}:{(329,1),(330,1),(333,1),(405,1),(424,1),(425,1)}
       381:{1,3,4,6}:{(330,1),(331,1),(334,1),(421,1),(424,1),(425,1)}
       382:{3,5,6}:{(332,1),(408,1),(426,1)}
       383:{2,4,6}:{(333,1),(335,1),(409,1),(424,1),(426,1),(427,1)}
       384:{2,3,5}:{(334,1),(336,1),(425,1),(427,1)}
       385:{1,4,5}:{(335,1),(336,1),(427,1)}
       386:{1,3,6,7}:{(337,1),(338,1),(403,1),(428,1)}
       387:{1,2,4,6,7}:{(338,1),(339,1),(343,1),(404,1),(428,1),(429,1),(430,1),(493,1),(521,1)}
       388:{1,3,5,6,7}:{(339,1),(340,1),(344,1),(405,1),(429,1),(430,1),(431,1),(479,1),(494,1)}
       389:{1,4,6,7}:{(340,1),(341,1),(345,1),(431,1),(432,1)}
       390:{1,4,5,7}:{(341,1),(342,1),(346,1),(407,1),(431,1),(432,1)}
       391:{3,6,7}:{(343,1),(408,1)}
       392:{2,4,6,7}:{(344,1),(347,1),(409,1),(430,1),(433,1),(434,1),(481,1)}
       393:{2,5,7}:{(345,1),(348,1),(431,1),(435,1)}
       394:{2,4,6}:{(346,1),(349,1),(411,1),(432,1),(435,1)}
       395:{1,4,5,7}:{(347,1),(348,1),(434,1),(436,1),(531,1)}
       396:{1,3,5,6}:{(348,1),(349,1),(435,1),(436,1),(496,1)}
       397:{2,3,4,7}:{(350,1),(355,1),(373,1),(437,1),(447,1),(498,1),(503,1)}
       398:{1,4,7}:{(350,1),(351,1),(374,1)}
       399:{1,2,5,7}:{(351,1),(352,1),(375,1),(438,1),(442,1)}
       400:{1,2,3,6,7}:{(352,1),(353,1),(358,1),(376,1),(439,1),(440,1),(464,1),(536,1)}
       401:{1,2,4,7}:{(353,1),(354,1),(359,1),(441,1)}
       402:{1,2,5}:{(354,1),(360,1)}
       403:{1,3,5,7}:{(355,1),(356,1),(378,1),(386,1),(437,1),(442,1)}
       404:{1,2,4,5,7}:{(356,1),(357,1),(361,1),(379,1),(387,1),(438,1),(442,1),(443,1),(444,1),(466,1),(503,1),(516,1)}
       405:{1,3,5,7}:{(357,1),(358,1),(362,1),(380,1),(444,1)}
       406:{1,3,4,6,7}:{(358,1),(359,1),(363,1),(381,1),(389,1),(440,1),(444,1),(445,1),(446,1),(499,1),(505,1),(536,1)}
       407:{1,3,5,7}:{(359,1),(360,1),(364,1),(390,1),(441,1),(446,1)}
       408:{3,5,7}:{(361,1),(382,1),(391,1),(447,1)}
       409:{2,4,7}:{(362,1),(365,1),(383,1),(444,1),(447,1)}
       410:{2,3,5,7}:{(363,1),(366,1),(384,1),(393,1),(445,1),(448,1),(449,1),(468,1),(516,1)}
       411:{2,3,6}:{(364,1),(367,1),(394,1),(446,1)}
       412:{1,4,5,7}:{(365,1),(366,1),(385,1),(448,1),(450,1)}
       413:{1,3,5,6}:{(366,1),(367,1),(368,1),(449,1),(450,1),(543,1),(551,1)}
       414:{2,3,4,5}:{(369,1),(373,1),(451,1),(462,1),(508,1),(514,1)}
       415:{1,4,5}:{(369,1),(370,1),(374,1)}
       416:{1,2,5}:{(370,1),(371,1)}
       417:{1,2,3,6}:{(371,1),(372,1),(453,1),(455,1)}
       418:{1,3,4,6}:{(373,1),(374,1),(378,1),(437,1),(451,1),(454,1),(455,1),(510,1),(513,1)}
       419:{1,2,4,6}:{(374,1),(375,1),(438,1),(452,1),(454,1),(455,1)}
       420:{1,2,3,5,6}:{(375,1),(376,1),(380,1),(439,1),(453,1),(455,1),(456,1),(457,1),(459,1),(501,1),(512,1),(536,1)}
       421:{1,2,4,6}:{(376,1),(377,1),(381,1),(457,1)}
       422:{2,5,6}:{(378,1),(442,1),(454,1)}
       423:{1,3,5,6}:{(379,1),(382,1),(443,1),(455,1),(459,1),(460,1),(512,1),(536,1)}
       424:{1,4,6}:{(380,1),(383,1),(444,1),(461,1)}
       425:{1,3,5}:{(381,1),(384,1),(457,1),(461,1)}
       426:{3,4,6}:{(382,1),(383,1),(447,1),(462,1)}
       427:{2,4,5}:{(383,1),(384,1),(385,1),(461,1),(462,1)}
       428:{2,6,7}:{(386,1),(442,1)}
       429:{1,3,6,7}:{(387,1),(391,1),(443,1),(464,1),(536,1)}
       430:{1,4,6,7}:{(388,1),(392,1),(444,1),(466,1),(505,1)}
       431:{1,5,7}:{(389,1),(393,1),(467,1)}
       432:{1,4,6}:{(390,1),(394,1),(446,1),(467,1)}
       433:{3,4,6,7}:{(391,1),(392,1),(447,1),(468,1),(506,1)}
       434:{2,4,5,7}:{(392,1),(393,1),(395,1),(466,1),(468,1),(469,1),(516,1)}
       435:{2,5,6}:{(393,1),(394,1),(396,1),(467,1)}
       436:{1,4,5,6}:{(395,1),(396,1),(450,1),(469,1),(543,1)}
       437:{1,3,4,7}:{(397,1),(398,1),(403,1),(418,1),(470,1),(471,1),(518,1),(522,1)}
       438:{1,2,4,7}:{(398,1),(399,1),(419,1),(470,1),(471,1)}
       439:{1,2,3,5,7}:{(399,1),(400,1),(405,1),(420,1),(471,1),(472,1),(473,1),(476,1),(520,1)}
       440:{1,2,4,6,7}:{(400,1),(401,1),(406,1),(421,1),(472,1),(473,1),(474,1),(493,1),(521,1)}
       441:{1,2,5,7}:{(401,1),(402,1),(407,1),(474,1)}
       442:{2,5,7}:{(403,1),(422,1),(428,1),(470,1)}
       443:{1,3,5,7}:{(404,1),(408,1),(423,1),(429,1),(471,1),(476,1),(477,1)}
       444:{1,4,7}:{(405,1),(409,1),(424,1)}
       445:{1,3,5,7}:{(406,1),(410,1),(425,1),(431,1),(473,1),(478,1),(479,1)}
       446:{1,3,6}:{(407,1),(411,1),(432,1),(474,1)}
       447:{3,4,7}:{(408,1),(409,1),(426,1)}
       448:{2,4,5,7}:{(409,1),(410,1),(412,1),(427,1),(478,1),(480,1),(481,1)}
       449:{2,3,5,6}:{(410,1),(411,1),(413,1),(435,1),(479,1),(481,1),(496,1),(532,1),(546,1)}
       450:{1,4,6}:{(412,1),(413,1),(481,1)}
       451:{1,3,4,5}:{(414,1),(415,1),(418,1),(482,1),(483,1),(525,1),(530,1)}
       452:{1,2,4,5}:{(415,1),(416,1),(419,1),(482,1),(483,1),(484,1)}
       453:{1,2,3,5}:{(416,1),(417,1),(483,1),(484,1)}
       454:{2,4,6}:{(418,1),(422,1),(470,1),(482,1),(486,1)}
       455:{1,3,6}:{(419,1),(471,1),(483,1),(486,1)}
       456:{1,2,4,6}:{(420,1),(424,1),(472,1),(484,1),(487,1),(488,1),(490,1)}
       457:{1,2,5}:{(421,1),(425,1)}
       458:{1,2,5,6}:{(422,1),(475,1),(485,1),(489,1),(549,1),(552,1)}
       459:{2,3,5,6}:{(422,1),(423,1),(476,1),(486,1),(489,1),(490,1),(529,1),(532,1),(546,1)}
       460:{1,3,4,6}:{(423,1),(424,1),(426,1),(477,1),(490,1),(491,1)}
       461:{1,4,5}:{(424,1),(425,1),(427,1)}
       462:{3,4,5}:{(426,1),(427,1)}
       463:{1,2,6,7}:{(428,1),(475,1),(492,1),(552,1)}
       464:{2,3,6,7}:{(428,1),(429,1),(476,1),(492,1),(493,1),(546,1)}
       465:{1,3,4,6,7}:{(429,1),(430,1),(433,1),(477,1),(493,1),(494,1),(524,1)}
       466:{1,4,5,7}:{(430,1),(431,1),(434,1),(494,1),(495,1)}
       467:{1,5,6}:{(431,1),(432,1),(435,1)}
       468:{3,5,7}:{(433,1),(434,1),(496,1)}
       469:{2,4,5,6}:{(434,1),(435,1),(436,1),(481,1),(495,1),(496,1),(532,1)}
       470:{2,4,7}:{(437,1),(442,1),(454,1),(498,1)}
       471:{1,3,7}:{(438,1),(455,1),(498,1)}
       472:{1,2,4,7}:{(439,1),(444,1),(456,1),(499,1),(503,1)}
       473:{1,2,5,7}:{(440,1),(445,1),(457,1),(501,1),(516,1)}
       474:{1,2,6}:{(441,1),(446,1)}
       475:{1,2,5,7}:{(442,1),(458,1),(463,1),(497,1),(502,1)}
       476:{2,3,5,7}:{(442,1),(443,1),(459,1),(464,1),(498,1),(502,1),(503,1),(516,1)}
       477:{1,3,4,7}:{(443,1),(444,1),(447,1),(460,1),(503,1)}
       478:{1,4,5,7}:{(444,1),(445,1),(448,1),(461,1),(505,1)}
       479:{1,3,5,6}:{(445,1),(446,1),(449,1),(467,1),(501,1),(505,1),(536,1)}
       480:{3,4,5,7}:{(447,1),(448,1),(462,1),(468,1),(506,1)}
       481:{2,4,6}:{(448,1),(449,1),(450,1),(505,1),(506,1)}
       482:{2,4,5}:{(451,1),(454,1),(508,1)}
       483:{1,3,5}:{(452,1),(455,1),(508,1),(509,1)}
       484:{1,2,4}:{(453,1),(509,1)}
       485:{1,2,4,6}:{(454,1),(458,1),(497,1),(507,1),(510,1),(513,1)}
       486:{2,3,6}:{(454,1),(455,1),(498,1),(508,1),(510,1)}
       487:{1,3,4,6}:{(455,1),(456,1),(499,1),(509,1),(511,1),(512,1),(536,1)}
       488:{1,2,4,5}:{(456,1),(457,1),(461,1),(512,1),(514,1)}
       489:{1,3,5,6}:{(458,1),(459,1),(502,1),(510,1),(513,1),(542,1),(543,1),(551,1)}
       490:{2,4,6}:{(459,1),(460,1),(503,1),(513,1),(514,1)}
       491:{1,3,4,5}:{(460,1),(461,1),(462,1),(512,1),(514,1)}
       492:{1,3,6,7}:{(463,1),(464,1),(502,1),(515,1),(551,1)}
       493:{2,4,6,7}:{(464,1),(465,1),(503,1),(515,1),(516,1),(538,1)}
       494:{1,3,5,7}:{(465,1),(466,1),(468,1),(516,1),(517,1)}
       495:{1,4,5,6}:{(466,1),(467,1),(469,1),(505,1),(517,1)}
       496:{3,5,6}:{(468,1),(469,1),(506,1)}
       497:{1,2,4,7}:{(470,1),(475,1),(485,1),(518,1),(522,1)}
       498:{2,3,7}:{(470,1),(471,1),(486,1),(518,1)}
       499:{1,3,4,7}:{(471,1),(472,1),(487,1),(519,1),(520,1)}
       500:{1,2,4,5,7}:{(472,1),(473,1),(478,1),(488,1),(520,1),(521,1),(523,1)}
       501:{1,2,5,6}:{(473,1),(474,1),(479,1),(521,1),(532,1)}
       502:{1,3,5,7}:{(475,1),(476,1),(489,1),(492,1),(518,1),(522,1),(531,1)}
       503:{2,4,7}:{(476,1),(477,1),(490,1),(522,1)}
       504:{1,3,4,5,7}:{(477,1),(478,1),(480,1),(491,1),(494,1),(520,1),(523,1),(524,1)}
       505:{1,4,6}:{(478,1),(479,1),(481,1)}
       506:{3,4,6}:{(480,1),(481,1),(496,1)}
       507:{1,2,4,5}:{(482,1),(485,1),(525,1),(530,1),(548,1),(549,1)}
       508:{2,3,5}:{(482,1),(483,1),(486,1),(525,1),(526,1)}
       509:{1,3,4}:{(483,1),(484,1),(526,1)}
       510:{1,3,6}:{(485,1),(486,1),(518,1),(525,1)}
       511:{2,3,4,6}:{(486,1),(487,1),(490,1),(519,1),(526,1),(528,1),(529,1),(546,1)}
       512:{1,3,5}:{(487,1),(488,1),(529,1)}
       513:{1,4,6}:{(489,1),(490,1),(522,1),(530,1)}
       514:{2,4,5}:{(490,1),(491,1),(529,1),(530,1)}
       515:{1,4,6,7}:{(492,1),(493,1),(522,1),(531,1),(547,1)}
       516:{2,5,7}:{(493,1),(494,1),(531,1),(532,1)}
       517:{1,3,5,6}:{(494,1),(495,1),(496,1),(524,1),(532,1)}
       518:{1,3,7}:{(497,1),(498,1),(510,1)}
       519:{2,3,4,7}:{(498,1),(499,1),(503,1),(511,1),(534,1),(535,1)}
       520:{1,3,5,7}:{(499,1),(500,1),(512,1),(535,1),(536,1)}
       521:{1,2,4,6}:{(500,1),(501,1),(505,1),(536,1),(538,1)}
       522:{1,4,7}:{(502,1),(503,1),(513,1)}
       523:{2,4,5,7}:{(503,1),(504,1),(514,1),(516,1),(535,1),(537,1),(538,1)}
       524:{1,3,4,6}:{(504,1),(505,1),(506,1),(517,1),(536,1),(538,1)}
       525:{1,3,5}:{(507,1),(508,1),(510,1),(540,1)}
       526:{2,3,4}:{(508,1),(509,1),(540,1)}
       527:{1,2,3,6}:{(510,1),(533,1),(539,1),(541,1)}
       528:{1,3,4,6}:{(510,1),(511,1),(513,1),(534,1),(540,1),(541,1),(542,1),(551,1)}
       529:{2,3,5}:{(511,1),(512,1),(514,1),(542,1)}
       530:{1,4,5}:{(513,1),(514,1),(542,1)}
       531:{1,5,7}:{(515,1),(516,1),(543,1)}
       532:{2,5,6}:{(516,1),(517,1),(538,1),(543,1)}
       533:{1,2,3,7}:{(518,1),(527,1),(544,1)}
       534:{1,3,4,7}:{(518,1),(519,1),(522,1),(528,1),(544,1),(545,1)}
       535:{2,3,5,7}:{(519,1),(520,1),(523,1),(529,1),(545,1),(546,1)}
       536:{1,3,6}:{(520,1),(521,1),(546,1)}
       537:{1,4,5,7}:{(522,1),(523,1),(530,1),(531,1),(545,1),(547,1)}
       538:{2,4,6}:{(523,1),(524,1),(532,1),(546,1),(547,1)}
       539:{1,2,3,5}:{(525,1),(527,1),(548,1),(549,1)}
       540:{1,3,4}:{(525,1),(526,1),(548,1)}
       541:{1,2,4,6}:{(527,1),(528,1),(544,1),(548,1),(549,1),(552,1)}
       542:{1,3,5}:{(528,1),(529,1),(530,1),(549,1)}
       543:{1,5,6}:{(531,1),(532,1),(547,1)}
       544:{1,2,4,7}:{(533,1),(534,1),(541,1),(550,1)}
       545:{1,3,5,7}:{(534,1),(535,1),(537,1),(542,1),(550,1),(551,1)}
       546:{2,3,6}:{(535,1),(536,1),(538,1),(551,1)}
       547:{1,4,6}:{(537,1),(538,1),(543,1),(551,1)}
       548:{1,2,4}:{(539,1),(540,1)}
       549:{1,2,5}:{(541,1),(542,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(549,1),(552,1)}
       551:{1,3,6}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1790 :   0:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(20,1),(21,1),(75,1),(131,1),(193,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(5,1),(20,1),(26,1),(56,1),(58,1),(65,1)}
         2:{1,3,6,7}:{(0,1),(7,1),(8,1),(38,1),(149,1),(224,1)}
         3:{1,2,5,7}:{(0,1),(8,1),(9,1),(12,1),(102,1),(162,1),(201,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(35,1),(42,1),(84,1)}
         5:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(43,1),(83,1)}
         6:{1,3,5,6,7}:{(13,1),(15,1),(16,1),(49,1),(50,1),(228,1)}
         7:{2,3,6,7}:{(2,1),(4,1),(17,1),(18,1),(60,1),(65,1),(117,1),(131,1)}
         8:{1,3,5,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(118,1),(168,1)}
         9:{1,2,5,6}:{(3,1),(19,1),(21,1),(24,1),(112,1),(123,1),(184,1),(231,1),(234,1)}
        10:{1,2,4,5,7}:{(3,1),(20,1),(21,1),(22,1),(25,1),(57,1),(59,1),(69,1),(112,1),(118,1),(122,1),(172,1),(193,1),(234,1),(236,1),(280,1)}
        11:{1,4,6,7}:{(4,1),(17,1),(23,1),(54,1),(62,1),(113,1)}
        12:{2,5,7}:{(4,1),(5,1),(23,1),(24,1),(112,1)}
        13:{1,3,5,6}:{(5,1),(24,1),(26,1),(65,1)}
        14:{1,4,5,7}:{(5,1),(20,1),(25,1),(26,1),(57,1),(118,1)}
        15:{2,5,6,7}:{(6,1),(24,1),(28,1),(29,1),(74,1),(253,1)}
        16:{1,4,6,7}:{(6,1),(26,1),(29,1),(30,1),(128,1),(254,1)}
        17:{1,3,6,7}:{(7,1),(11,1),(32,1),(33,1),(86,1),(89,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(12,1),(33,1),(34,1),(35,1),(43,1),(90,1),(136,1),(162,1),(224,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(34,1),(36,1),(38,1),(83,1),(149,1),(200,1),(203,1),(260,1)}
        20:{1,4,7}:{(8,1),(35,1),(36,1)}
        21:{1,2,4,6}:{(9,1),(10,1),(36,1),(38,1),(42,1),(84,1),(95,1),(149,1),(153,1),(215,1)}
        22:{1,3,5,7}:{(10,1),(37,1),(38,1),(39,1),(43,1),(83,1),(205,1),(224,1),(260,1),(261,1)}
        23:{1,5,7}:{(11,1),(12,1),(40,1),(144,1)}
        24:{2,5,6}:{(12,1),(13,1),(40,1),(42,1)}
        25:{2,4,5,7}:{(12,1),(14,1),(35,1),(41,1),(42,1),(43,1),(80,1),(90,1)}
        26:{1,4,6}:{(13,1),(14,1),(42,1),(149,1)}
        27:{1,3,4,5,7}:{(14,1),(37,1),(43,1),(45,1),(46,1),(50,1),(83,1),(93,1),(99,1),(140,1),(157,1),(161,1),(206,1),(219,1),(224,1),(227,1),(261,1),(274,1)}
        28:{1,5,6,7}:{(15,1),(40,1),(47,1),(102,1),(273,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(42,1),(47,1),(48,1),(49,1),(98,1),(275,1)}
        30:{1,4,5,7}:{(16,1),(44,1),(48,1),(50,1),(159,1),(161,1)}
        31:{1,3,4,6,7}:{(16,1),(45,1),(49,1),(50,1),(51,1),(99,1),(101,1),(161,1),(224,1)}
        32:{1,2,6,7}:{(17,1),(52,1),(115,1),(117,1),(128,1),(131,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(23,1),(52,1),(53,1),(54,1),(105,1)}
        34:{2,3,5,6}:{(18,1),(19,1),(24,1),(53,1),(55,1),(60,1),(65,1),(109,1),(112,1),(117,1),(167,1),(170,1),(184,1),(237,1),(243,1)}
        35:{2,4,7}:{(18,1),(20,1),(54,1),(55,1),(56,1)}
        36:{1,4,6}:{(19,1),(20,1),(55,1),(57,1),(280,1)}
        37:{1,3,4,7}:{(20,1),(22,1),(56,1),(58,1),(59,1),(280,1),(281,1)}
        38:{1,3,6}:{(21,1),(22,1),(60,1),(65,1),(243,1)}
        39:{2,3,5,7}:{(22,1),(59,1),(60,1),(61,1),(112,1),(122,1),(176,1),(237,1)}
        40:{1,5,6}:{(23,1),(24,1),(62,1)}
        41:{1,4,5,7}:{(23,1),(25,1),(54,1),(62,1),(63,1),(106,1)}
        42:{2,4,6}:{(24,1),(25,1),(26,1),(62,1),(65,1),(117,1)}
        43:{3,5,7}:{(25,1),(56,1),(65,1),(109,1)}
        44:{1,4,5,6}:{(26,1),(30,1),(57,1),(64,1),(67,1),(180,1),(183,1),(246,1),(254,1)}
        45:{1,3,4,6}:{(26,1),(27,1),(65,1),(67,1),(68,1),(119,1),(121,1),(183,1),(243,1),(254,1),(291,1)}
        46:{2,4,5,7}:{(27,1),(59,1),(66,1),(68,1),(69,1),(74,1),(112,1),(122,1),(129,1),(173,1),(186,1),(193,1),(236,1),(245,1)}
        47:{1,4,6,7}:{(28,1),(29,1),(62,1),(70,1),(71,1),(290,1)}
        48:{2,4,5,7}:{(29,1),(30,1),(64,1),(70,1),(72,1),(74,1),(127,1),(129,1),(193,1)}
        49:{3,6,7}:{(29,1),(65,1),(72,1),(291,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(67,1),(72,1),(74,1)}
        51:{2,4,6,7}:{(31,1),(68,1),(73,1),(74,1),(75,1),(129,1),(131,1),(193,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(76,1),(77,1),(90,1),(159,1),(162,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(40,1),(76,1),(78,1),(86,1),(89,1),(135,1),(137,1),(144,1),(209,1)}
        54:{1,4,7}:{(33,1),(35,1),(78,1)}
        55:{2,4,6}:{(34,1),(35,1),(36,1),(78,1),(80,1),(81,1),(262,1)}
        56:{3,4,7}:{(35,1),(43,1),(81,1),(224,1)}
        57:{1,4,5}:{(36,1),(80,1),(83,1),(203,1)}
        58:{1,3,4,6}:{(36,1),(37,1),(38,1),(81,1),(83,1),(84,1)}
        59:{2,4,7}:{(37,1),(39,1),(84,1),(85,1),(262,1)}
        60:{2,3,6}:{(38,1),(39,1),(84,1),(86,1),(153,1)}
        61:{1,3,5,7}:{(39,1),(85,1),(86,1),(87,1),(144,1),(146,1),(209,1)}
        62:{1,4,6}:{(40,1),(41,1),(42,1),(89,1)}
        63:{1,3,5,7}:{(41,1),(43,1),(79,1),(89,1),(90,1),(137,1)}
        64:{2,4,5,6}:{(42,1),(44,1),(48,1),(80,1),(88,1),(91,1),(94,1),(148,1),(151,1),(215,1),(268,1),(275,1)}
        65:{3,6}:{(42,1),(43,1)}
        66:{2,3,5,7}:{(43,1),(46,1),(82,1),(90,1),(92,1),(93,1),(141,1),(224,1),(261,1),(274,1),(301,1)}
        67:{1,3,5,6}:{(44,1),(45,1),(50,1),(83,1),(91,1),(94,1),(219,1)}
        68:{2,4,6}:{(45,1),(46,1),(92,1),(94,1),(95,1),(153,1)}
        69:{1,4,5,7}:{(46,1),(85,1),(93,1),(95,1),(102,1),(144,1),(161,1),(206,1),(214,1),(266,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(88,1),(97,1),(102,1),(161,1)}
        71:{1,3,6,7}:{(47,1),(49,1),(89,1),(97,1),(98,1),(302,1)}
        72:{3,5,7}:{(48,1),(49,1),(91,1),(99,1),(224,1)}
        73:{2,3,6,7}:{(49,1),(51,1),(92,1),(98,1),(100,1),(101,1),(224,1)}
        74:{2,5,7}:{(50,1),(51,1),(94,1),(102,1)}
        75:{1,4,6,7}:{(51,1),(95,1),(101,1),(102,1),(161,1)}
        76:{1,2,5,6}:{(52,1),(53,1),(104,1),(115,1),(117,1),(170,1),(177,1),(180,1),(184,1)}
        77:{1,2,4,7}:{(52,1),(54,1),(104,1),(105,1),(108,1),(190,1),(193,1),(247,1)}
        78:{1,4,6}:{(53,1),(54,1),(55,1),(106,1),(238,1)}
        79:{1,3,4,7}:{(54,1),(56,1),(63,1),(105,1),(107,1),(108,1)}
        80:{2,4,5}:{(55,1),(57,1),(106,1),(109,1),(112,1),(170,1)}
        81:{3,4,6}:{(55,1),(56,1),(65,1),(109,1),(243,1),(281,1)}
        82:{2,3,4,7}:{(56,1),(59,1),(66,1),(108,1),(110,1),(111,1),(129,1),(176,1),(186,1),(189,1),(251,1),(281,1),(288,1)}
        83:{1,3,5}:{(57,1),(58,1),(109,1),(112,1)}
        84:{2,4,6}:{(58,1),(59,1),(60,1),(112,1),(113,1)}
        85:{1,4,7}:{(59,1),(61,1),(113,1),(238,1)}
        86:{1,3,6}:{(60,1),(61,1),(113,1),(115,1)}
        87:{1,2,5,7}:{(61,1),(114,1),(115,1),(122,1),(177,1),(309,1)}
        88:{1,4,5,6}:{(62,1),(64,1),(70,1),(106,1),(116,1),(123,1),(183,1),(285,1),(290,1)}
        89:{1,3,6}:{(62,1),(63,1),(65,1),(117,1)}
        90:{2,5,7}:{(63,1),(108,1),(117,1),(118,1),(170,1)}
        91:{3,5,6}:{(64,1),(65,1),(72,1),(109,1),(119,1),(243,1),(286,1),(291,1)}
        92:{2,3,6}:{(65,1),(66,1),(68,1),(117,1),(121,1),(243,1),(291,1),(310,1)}
        93:{1,3,5,7}:{(66,1),(69,1),(111,1),(118,1),(121,1),(122,1),(174,1),(309,1)}
        94:{2,5,6}:{(67,1),(68,1),(74,1),(112,1),(123,1),(245,1)}
        95:{1,4,6}:{(68,1),(69,1),(121,1),(123,1)}
        96:{1,2,4,5,7}:{(69,1),(114,1),(122,1),(124,1),(125,1),(132,1),(177,1),(186,1),(193,1),(196,1),(236,1),(238,1),(245,1),(246,1),(252,1),(309,1)}
        97:{1,3,5,7}:{(70,1),(71,1),(72,1),(116,1),(126,1),(127,1)}
        98:{2,6,7}:{(71,1),(117,1),(127,1),(128,1),(310,1)}
        99:{3,4,7}:{(72,1),(119,1),(129,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(74,1),(120,1),(127,1),(129,1),(130,1),(189,1)}
       101:{1,3,6,7}:{(73,1),(75,1),(121,1),(128,1),(130,1),(131,1)}
       102:{1,5,7}:{(74,1),(75,1),(123,1)}
       103:{1,2,4,6,7}:{(75,1),(124,1),(131,1),(132,1),(133,1),(193,1),(195,1),(196,1)}
       104:{1,2,4,6}:{(76,1),(77,1),(78,1),(134,1),(135,1),(138,1),(211,1),(215,1),(263,1)}
       105:{1,3,7}:{(77,1),(135,1),(136,1),(224,1)}
       106:{1,4,5}:{(78,1),(80,1),(137,1),(144,1)}
       107:{1,3,4,6}:{(78,1),(79,1),(81,1),(89,1),(135,1),(137,1),(138,1),(198,1)}
       108:{2,4,7}:{(79,1),(90,1),(136,1),(138,1),(139,1)}
       109:{3,5}:{(80,1),(81,1)}
       110:{2,3,4,6}:{(81,1),(82,1),(84,1),(92,1),(138,1),(141,1),(142,1),(151,1),(208,1),(210,1),(217,1),(255,1),(262,1),(267,1),(298,1)}
       111:{1,3,4,7}:{(82,1),(85,1),(93,1),(139,1),(142,1),(143,1),(146,1),(161,1),(205,1),(214,1),(220,1),(224,1),(300,1)}
       112:{2,5}:{(83,1),(84,1),(144,1)}
       113:{1,4,6}:{(84,1),(85,1),(86,1),(144,1)}
       114:{1,2,4,7}:{(85,1),(87,1),(143,1),(145,1),(146,1),(269,1),(300,1)}
       115:{1,2,6}:{(86,1),(87,1),(153,1),(314,1)}
       116:{1,3,5,6}:{(88,1),(89,1),(91,1),(97,1),(137,1),(147,1),(148,1),(299,1),(302,1)}
       117:{2,6}:{(89,1),(90,1),(149,1)}
       118:{1,5,7}:{(90,1),(139,1),(149,1),(203,1)}
       119:{3,4,6}:{(91,1),(99,1),(140,1),(151,1)}
       120:{2,3,5,6}:{(91,1),(92,1),(94,1),(100,1),(141,1),(148,1),(151,1),(152,1),(210,1)}
       121:{1,3,6}:{(92,1),(93,1),(95,1),(149,1),(153,1),(314,1)}
       122:{2,5,7}:{(93,1),(143,1),(153,1),(207,1)}
       123:{1,5,6}:{(94,1),(95,1),(102,1),(144,1),(266,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(153,1),(155,1),(156,1),(215,1),(217,1),(218,1),(275,1),(314,1)}
       125:{1,3,5,7}:{(96,1),(146,1),(154,1),(156,1),(157,1),(209,1),(219,1),(224,1),(261,1),(274,1)}
       126:{1,3,4,7}:{(97,1),(99,1),(147,1),(158,1),(161,1),(220,1),(224,1)}
       127:{2,5,7}:{(97,1),(98,1),(148,1),(158,1),(159,1)}
       128:{1,6,7}:{(98,1),(149,1),(159,1),(314,1)}
       129:{2,4,7}:{(99,1),(100,1),(151,1),(161,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(102,1),(152,1),(159,1),(161,1),(162,1),(220,1),(224,1)}
       131:{2,6,7}:{(101,1),(153,1),(162,1)}
       132:{1,2,5,7}:{(102,1),(103,1),(155,1),(162,1),(164,1),(226,1),(269,1)}
       133:{1,3,6,7}:{(103,1),(156,1),(163,1),(164,1),(224,1),(314,1)}
       134:{1,2,4,5}:{(104,1),(106,1),(166,1),(170,1),(177,1),(229,1),(233,1),(236,1),(238,1),(278,1),(303,1)}
       135:{1,3,6}:{(104,1),(105,1),(166,1),(167,1),(243,1)}
       136:{2,3,7}:{(105,1),(108,1),(167,1),(168,1),(247,1)}
       137:{1,3,5}:{(106,1),(107,1),(109,1),(170,1)}
       138:{2,4,6}:{(107,1),(108,1),(117,1),(167,1),(170,1),(171,1),(229,1)}
       139:{1,4,7}:{(108,1),(118,1),(168,1),(171,1)}
       140:{3,4,5}:{(109,1),(119,1),(173,1),(281,1),(286,1)}
       141:{2,3,5}:{(109,1),(110,1),(112,1),(170,1),(173,1),(174,1),(245,1),(286,1),(308,1)}
       142:{1,3,4,6}:{(110,1),(111,1),(113,1),(121,1),(171,1),(174,1),(175,1),(178,1),(183,1),(235,1),(238,1),(239,1),(242,1),(243,1),(276,1),(280,1),(281,1),(307,1)}
       143:{2,4,7}:{(111,1),(122,1),(175,1),(176,1),(247,1)}
       144:{1,5}:{(112,1),(113,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(115,1),(175,1),(177,1),(178,1),(238,1),(282,1),(303,1),(307,1)}
       146:{1,3,7}:{(114,1),(176,1),(178,1)}
       147:{1,3,4,6}:{(116,1),(119,1),(126,1),(169,1),(179,1),(183,1),(239,1),(243,1)}
       148:{2,5,6}:{(116,1),(117,1),(127,1),(170,1),(179,1),(180,1),(308,1),(310,1)}
       149:{1,6}:{(117,1),(118,1)}
       150:{1,2,5,7}:{(118,1),(122,1),(172,1),(181,1),(182,1),(234,1)}
       151:{2,4,6}:{(119,1),(120,1),(129,1),(173,1),(183,1)}
       152:{1,3,5,6}:{(120,1),(121,1),(123,1),(130,1),(174,1),(180,1),(183,1),(184,1),(239,1),(243,1)}
       153:{2,6}:{(121,1),(122,1)}
       154:{2,3,5,7}:{(122,1),(125,1),(176,1),(182,1),(185,1),(186,1),(237,1),(245,1)}
       155:{1,2,5,6}:{(123,1),(124,1),(132,1),(177,1),(184,1),(187,1),(245,1),(253,1),(282,1)}
       156:{1,3,6}:{(124,1),(125,1),(185,1),(243,1),(291,1)}
       157:{1,3,4,7}:{(125,1),(186,1),(188,1),(196,1),(238,1),(251,1),(281,1)}
       158:{2,4,7}:{(126,1),(127,1),(179,1),(189,1),(190,1),(247,1)}
       159:{1,5,7}:{(127,1),(128,1),(180,1),(190,1)}
       160:{1,2,6,7}:{(128,1),(131,1),(181,1),(191,1),(192,1),(310,1)}
       161:{1,4,7}:{(129,1),(130,1),(183,1),(193,1)}
       162:{2,5,7}:{(130,1),(131,1),(184,1),(193,1),(247,1)}
       163:{2,3,6,7}:{(131,1),(133,1),(185,1),(192,1),(194,1),(195,1),(291,1),(310,1)}
       164:{1,3,5,7}:{(132,1),(133,1),(187,1),(194,1),(196,1),(287,1),(309,1)}
       165:{1,3,4,6,7}:{(133,1),(188,1),(195,1),(196,1),(197,1),(251,1),(254,1),(291,1)}
       166:{1,3,5}:{(134,1),(135,1),(198,1),(199,1),(261,1),(311,1)}
       167:{2,3,6}:{(135,1),(136,1),(138,1),(199,1),(200,1),(263,1)}
       168:{1,3,7}:{(136,1),(139,1),(200,1),(201,1)}
       169:{1,3,4,5}:{(137,1),(140,1),(147,1),(198,1),(202,1),(206,1),(258,1),(261,1),(296,1),(299,1)}
       170:{2,5}:{(137,1),(138,1),(203,1)}
       171:{1,4,6}:{(138,1),(139,1),(149,1),(200,1),(203,1),(256,1)}
       172:{1,2,4,7}:{(139,1),(143,1),(150,1),(201,1),(204,1),(205,1),(214,1)}
       173:{2,4,5}:{(140,1),(141,1),(151,1),(206,1),(262,1)}
       174:{1,3,5}:{(141,1),(142,1),(144,1),(203,1),(206,1),(207,1),(261,1),(266,1),(313,1)}
       175:{2,4,6}:{(142,1),(143,1),(153,1),(207,1),(208,1),(262,1),(263,1),(292,1)}
       176:{2,3,7}:{(143,1),(146,1),(205,1),(208,1),(224,1)}
       177:{1,2,5}:{(144,1),(145,1),(207,1),(209,1),(313,1)}
       178:{1,3,6}:{(145,1),(146,1),(208,1),(209,1),(311,1)}
       179:{2,4,6}:{(147,1),(148,1),(158,1),(202,1),(210,1),(211,1),(263,1)}
       180:{1,5,6}:{(148,1),(149,1),(159,1),(203,1),(211,1),(313,1),(314,1)}
       181:{1,2,6}:{(149,1),(150,1),(153,1),(213,1)}
       182:{1,3,5,7}:{(150,1),(154,1),(205,1),(213,1),(214,1),(260,1),(266,1)}
       183:{1,4,6}:{(151,1),(152,1),(161,1),(206,1),(215,1)}
       184:{2,5,6}:{(152,1),(153,1),(162,1),(207,1),(215,1),(263,1)}
       185:{2,3,6}:{(153,1),(154,1),(156,1),(213,1),(217,1)}
       186:{2,4,7}:{(154,1),(157,1),(214,1),(217,1),(262,1)}
       187:{1,3,5,6}:{(155,1),(156,1),(164,1),(209,1),(216,1),(218,1),(219,1),(297,1),(313,1),(314,1)}
       188:{1,3,4,6}:{(156,1),(157,1),(217,1),(218,1),(219,1),(267,1)}
       189:{2,3,7}:{(158,1),(210,1),(220,1),(224,1)}
       190:{1,4,7}:{(158,1),(159,1),(211,1),(220,1)}
       191:{1,2,5,7}:{(159,1),(160,1),(162,1),(212,1),(221,1),(222,1),(301,1)}
       192:{1,3,6,7}:{(160,1),(163,1),(213,1),(222,1),(223,1),(302,1)}
       193:{2,4,7}:{(161,1),(162,1),(215,1),(224,1)}
       194:{2,3,5,7}:{(162,1),(163,1),(164,1),(216,1),(222,1),(224,1),(225,1),(226,1),(270,1),(274,1),(301,1)}
       195:{2,4,6,7}:{(163,1),(165,1),(217,1),(223,1),(225,1),(226,1),(275,1)}
       196:{1,4,7}:{(164,1),(218,1),(225,1)}
       197:{1,3,5,7}:{(165,1),(219,1),(226,1),(227,1),(228,1),(274,1)}
       198:{1,3,4}:{(166,1),(229,1),(238,1),(281,1)}
       199:{2,3,5}:{(166,1),(167,1),(170,1),(229,1),(230,1),(278,1),(304,1)}
       200:{1,3,6}:{(167,1),(168,1),(171,1),(230,1),(231,1)}
       201:{1,2,7}:{(168,1),(231,1),(247,1)}
       202:{2,4,5}:{(169,1),(170,1),(179,1),(229,1),(232,1),(233,1),(278,1),(306,1),(308,1)}
       203:{1,5}:{(170,1),(171,1)}
       204:{1,2,4,6}:{(171,1),(172,1),(175,1),(181,1),(231,1),(234,1),(235,1),(242,1),(277,1),(280,1)}
       205:{1,3,7}:{(172,1),(176,1),(235,1)}
       206:{1,4,5}:{(173,1),(174,1),(183,1),(236,1),(238,1),(280,1)}
       207:{2,5}:{(174,1),(175,1)}
       208:{2,3,6}:{(175,1),(176,1),(178,1),(235,1),(237,1),(243,1),(304,1)}
       209:{1,3,5}:{(177,1),(178,1),(237,1),(238,1)}
       210:{2,3,6}:{(179,1),(189,1),(232,1),(239,1),(243,1)}
       211:{1,4,6}:{(179,1),(180,1),(190,1),(233,1),(239,1)}
       212:{1,2,5,6}:{(180,1),(181,1),(184,1),(191,1),(234,1),(240,1),(241,1),(308,1),(310,1)}
       213:{1,3,6}:{(181,1),(182,1),(185,1),(242,1)}
       214:{1,4,7}:{(182,1),(186,1),(242,1),(280,1)}
       215:{2,4,6}:{(183,1),(184,1),(193,1),(236,1),(243,1)}
       216:{2,3,5,6}:{(184,1),(185,1),(187,1),(194,1),(237,1),(241,1),(243,1),(244,1),(245,1),(253,1),(283,1),(286,1),(291,1),(308,1),(310,1)}
       217:{2,4,6}:{(185,1),(186,1),(188,1),(242,1),(245,1)}
       218:{1,4,6}:{(187,1),(196,1),(238,1),(244,1),(246,1)}
       219:{1,3,5}:{(188,1),(245,1),(246,1),(286,1)}
       220:{1,3,7}:{(189,1),(190,1),(239,1),(247,1)}
       221:{1,2,4,7}:{(190,1),(191,1),(193,1),(240,1),(247,1),(248,1),(249,1),(288,1)}
       222:{1,3,5,7}:{(191,1),(192,1),(194,1),(241,1),(248,1),(249,1),(250,1)}
       223:{1,4,6,7}:{(192,1),(195,1),(242,1),(249,1),(250,1),(290,1)}
       224:{3,7}:{(193,1),(243,1)}
       225:{2,4,7}:{(194,1),(196,1),(244,1),(249,1),(251,1)}
       226:{2,5,7}:{(195,1),(197,1),(245,1),(250,1),(253,1)}
       227:{1,4,5,7}:{(196,1),(197,1),(246,1),(252,1),(254,1),(309,1)}
       228:{1,3,5,6}:{(197,1),(253,1),(254,1),(291,1)}
       229:{2,4}:{(198,1),(199,1),(256,1)}
       230:{1,3,5}:{(199,1),(200,1),(203,1),(256,1),(257,1),(293,1)}
       231:{1,2,6}:{(200,1),(201,1),(257,1),(263,1)}
       232:{2,3,5}:{(202,1),(210,1),(255,1),(258,1),(261,1)}
       233:{1,4,5}:{(202,1),(203,1),(211,1),(256,1),(258,1),(312,1),(313,1)}
       234:{1,2,5}:{(203,1),(204,1),(207,1),(260,1),(266,1)}
       235:{1,3,6}:{(204,1),(205,1),(208,1),(260,1),(293,1)}
       236:{2,4,5}:{(206,1),(207,1),(215,1),(261,1),(262,1)}
       237:{2,3,5}:{(207,1),(208,1),(209,1),(260,1),(261,1),(262,1)}
       238:{1,4}:{(209,1),(262,1)}
       239:{1,3,6}:{(210,1),(211,1),(220,1),(258,1),(263,1)}
       240:{1,2,4,6}:{(211,1),(212,1),(215,1),(221,1),(259,1),(263,1),(264,1),(265,1),(298,1)}
       241:{1,3,5,6}:{(212,1),(213,1),(216,1),(222,1),(260,1),(264,1),(265,1),(266,1),(273,1),(299,1),(302,1)}
       242:{1,4,6}:{(213,1),(214,1),(217,1),(266,1)}
       243:{3,6}:{(215,1),(224,1),(261,1)}
       244:{2,4,6}:{(216,1),(218,1),(225,1),(262,1),(265,1),(267,1),(268,1)}
       245:{2,5}:{(217,1),(219,1),(266,1)}
       246:{1,4,5}:{(218,1),(219,1),(268,1),(313,1)}
       247:{2,7}:{(220,1),(263,1)}
       248:{1,3,7}:{(221,1),(224,1),(264,1),(270,1)}
       249:{1,4,7}:{(222,1),(225,1),(265,1)}
       250:{1,5,7}:{(223,1),(226,1),(266,1),(273,1)}
       251:{3,4,7}:{(224,1),(225,1),(267,1),(274,1)}
       252:{2,4,5,7}:{(225,1),(226,1),(227,1),(268,1),(272,1),(274,1),(275,1),(301,1)}
       253:{2,5,6}:{(226,1),(228,1),(273,1),(275,1)}
       254:{1,4,6}:{(227,1),(228,1),(275,1),(314,1)}
       255:{2,3,4}:{(229,1),(232,1),(276,1),(281,1),(304,1),(306,1)}
       256:{1,4}:{(229,1),(230,1)}
       257:{1,2,5}:{(230,1),(231,1),(277,1),(278,1)}
       258:{1,3,5}:{(232,1),(233,1),(239,1),(276,1),(278,1)}
       259:{1,2,4,5}:{(233,1),(234,1),(236,1),(240,1),(277,1),(278,1),(279,1),(280,1),(285,1),(306,1),(308,1)}
       260:{1,3,5}:{(234,1),(235,1),(237,1),(280,1)}
       261:{3,5}:{(236,1),(243,1),(281,1)}
       262:{2,4}:{(237,1),(238,1),(280,1),(281,1)}
       263:{2,6}:{(239,1),(247,1),(278,1)}
       264:{1,3,6}:{(240,1),(243,1),(248,1),(279,1),(283,1)}
       265:{1,4,6}:{(241,1),(244,1),(249,1),(280,1),(285,1)}
       266:{1,5}:{(242,1),(245,1)}
       267:{3,4,6}:{(243,1),(244,1),(251,1),(281,1),(286,1),(291,1)}
       268:{2,4,5}:{(244,1),(245,1),(246,1),(285,1),(286,1),(308,1)}
       269:{1,2,7}:{(247,1),(282,1),(287,1)}
       270:{2,3,7}:{(247,1),(248,1),(283,1),(287,1),(288,1)}
       271:{1,3,4,7}:{(248,1),(249,1),(251,1),(284,1),(288,1),(289,1)}
       272:{1,4,5,7}:{(249,1),(250,1),(252,1),(285,1),(289,1),(290,1)}
       273:{1,5,6}:{(250,1),(253,1),(290,1)}
       274:{3,5,7}:{(251,1),(252,1),(286,1),(291,1)}
       275:{2,4,6}:{(252,1),(253,1),(254,1),(290,1),(291,1),(310,1)}
       276:{1,3,4}:{(255,1),(256,1),(258,1),(292,1),(293,1),(311,1),(312,1)}
       277:{1,2,4}:{(256,1),(257,1),(292,1),(293,1)}
       278:{2,5}:{(258,1),(263,1),(292,1)}
       279:{1,3,5}:{(259,1),(261,1),(264,1),(293,1),(295,1),(296,1)}
       280:{1,4}:{(260,1),(262,1)}
       281:{3,4}:{(261,1),(262,1)}
       282:{1,2,6}:{(263,1),(269,1),(294,1),(297,1)}
       283:{2,3,6}:{(263,1),(264,1),(270,1),(295,1),(297,1),(298,1)}
       284:{1,3,4,6}:{(264,1),(265,1),(267,1),(271,1),(296,1),(298,1),(299,1),(302,1)}
       285:{1,4,5}:{(265,1),(266,1),(268,1),(299,1)}
       286:{3,5}:{(267,1),(268,1)}
       287:{1,3,7}:{(269,1),(270,1),(297,1),(300,1)}
       288:{2,4,7}:{(270,1),(271,1),(298,1),(300,1),(301,1)}
       289:{1,3,5,7}:{(271,1),(272,1),(274,1),(299,1),(301,1),(302,1)}
       290:{1,4,6}:{(272,1),(273,1),(275,1),(302,1)}
       291:{3,6}:{(274,1),(275,1)}
       292:{2,4}:{(276,1),(278,1),(304,1)}
       293:{1,3}:{(277,1),(304,1)}
       294:{1,2,5}:{(278,1),(282,1),(303,1),(305,1)}
       295:{2,3,5}:{(278,1),(279,1),(283,1),(304,1),(305,1),(306,1),(308,1)}
       296:{1,3,4}:{(279,1),(280,1),(281,1),(306,1)}
       297:{1,3,6}:{(282,1),(283,1),(287,1),(305,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(288,1),(306,1),(307,1),(308,1),(310,1)}
       299:{1,3,5}:{(284,1),(285,1),(286,1),(308,1)}
       300:{1,4,7}:{(287,1),(288,1),(307,1),(309,1)}
       301:{2,5,7}:{(288,1),(289,1),(308,1),(309,1),(310,1)}
       302:{1,3,6}:{(289,1),(290,1),(291,1),(310,1)}
       303:{1,2,4}:{(292,1),(294,1),(311,1),(312,1)}
       304:{2,3}:{(292,1),(293,1),(311,1)}
       305:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1),(313,1)}
       306:{2,4}:{(295,1),(296,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1),(313,1),(314,1)}
       308:{2,5}:{(298,1),(299,1),(313,1)}
       309:{1,5,7}:{(300,1),(301,1),(313,1),(314,1)}
       310:{2,6}:{(301,1),(302,1),(314,1)}
       311:{1,3}:{(303,1),(304,1)}
       312:{1,4}:{(305,1),(306,1)}
       313:{1,5}:{(307,1),(308,1)}
       314:{1,6}:{(309,1),(310,1)}

1791 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(18,1),(26,1),(48,1),(62,1),(89,1),(90,1),(92,1),(97,1),(126,1),(163,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(9,1),(27,1),(32,1),(37,1),(64,1),(68,1),(70,1),(76,1),(83,1),(106,1),(112,1),(115,1),(119,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(43,1),(82,1),(110,1),(118,1),(142,1)}
         3:{1,2,4,6,7}:{(5,1),(9,1),(10,1),(37,1),(38,1),(83,1),(124,1),(143,1),(144,1),(145,1),(154,1)}
         4:{2,3,5,6,7}:{(7,1),(11,1),(12,1),(43,1),(81,1),(82,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(48,1),(49,1),(97,1),(126,1),(133,1),(136,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(50,1),(96,1),(104,1),(125,1),(137,1),(155,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(54,1),(92,1),(94,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(48,1),(88,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(20,1),(57,1),(128,1),(157,1),(163,1)}
        10:{1,2,5,7}:{(3,1),(15,1),(20,1),(21,1),(104,1),(141,1),(155,1)}
        11:{1,3,5,6,7}:{(4,1),(16,1),(23,1),(24,1),(60,1),(61,1),(103,1),(104,1)}
        12:{2,4,6,7}:{(4,1),(18,1),(24,1),(25,1),(26,1)}
        13:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(64,1),(65,1),(83,1),(119,1),(120,1),(121,1),(124,1),(154,1)}
        14:{2,3,6,7}:{(5,1),(9,1),(27,1),(29,1),(70,1),(78,1),(108,1),(124,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(30,1),(118,1),(142,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(30,1),(32,1),(70,1),(115,1),(117,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(37,1),(64,1),(75,1),(105,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(35,1)}
        19:{3,4,5,7}:{(8,1),(35,1),(43,1),(68,1),(110,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(29,1),(36,1),(37,1)}
        21:{1,2,5,6}:{(10,1),(30,1),(36,1),(38,1),(117,1),(118,1),(145,1),(151,1),(164,1)}
        22:{1,2,4,5,7}:{(10,1),(31,1),(37,1),(38,1),(39,1),(74,1),(75,1),(77,1),(116,1),(118,1),(144,1),(154,1),(164,1),(166,1),(173,1)}
        23:{2,5,6,7}:{(11,1),(30,1),(40,1),(82,1),(124,1)}
        24:{1,4,6,7}:{(11,1),(12,1),(32,1),(40,1),(41,1)}
        25:{2,4,5,7}:{(12,1),(34,1),(41,1),(43,1),(82,1),(154,1)}
        26:{3,4,6,7}:{(12,1),(35,1),(43,1)}
        27:{1,3,6,7}:{(13,1),(14,1),(44,1),(86,1),(99,1),(139,1),(163,1)}
        28:{1,2,5,7}:{(13,1),(15,1),(44,1),(45,1),(104,1),(137,1),(141,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(20,1),(44,1),(47,1),(48,1),(50,1),(141,1),(163,1)}
        30:{2,5,6}:{(15,1),(16,1),(49,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(17,1),(48,1),(49,1),(50,1),(88,1)}
        32:{1,4,6}:{(16,1),(17,1),(18,1),(49,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(50,1),(52,1),(53,1),(56,1),(61,1),(85,1),(93,1),(96,1),(101,1),(125,1),(130,1),(140,1),(158,1),(163,1),(171,1)}
        34:{2,4,5,6}:{(18,1),(25,1),(51,1),(54,1),(88,1),(94,1),(161,1)}
        35:{3,4,6}:{(18,1),(19,1),(54,1)}
        36:{1,3,5,6}:{(20,1),(21,1),(47,1),(55,1),(57,1),(96,1),(128,1),(155,1),(170,1)}
        37:{1,4,7}:{(20,1),(48,1),(55,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(55,1),(57,1),(95,1),(97,1),(136,1),(161,1)}
        39:{1,3,5,7}:{(22,1),(50,1),(56,1),(57,1),(58,1),(96,1),(157,1),(163,1),(170,1),(171,1)}
        40:{2,4,6,7}:{(23,1),(24,1),(49,1),(59,1),(60,1)}
        41:{1,4,5,7}:{(24,1),(25,1),(51,1),(59,1),(61,1),(104,1),(140,1)}
        42:{1,3,4,6,7}:{(24,1),(26,1),(52,1),(60,1),(61,1),(62,1),(101,1),(103,1),(140,1),(163,1)}
        43:{3,5,7}:{(25,1),(26,1),(54,1),(163,1)}
        44:{1,3,5,7}:{(27,1),(28,1),(29,1),(63,1),(64,1)}
        45:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1),(117,1),(121,1),(142,1),(151,1),(152,1)}
        46:{1,2,4,5,7}:{(28,1),(31,1),(64,1),(65,1),(66,1),(74,1),(105,1),(107,1),(116,1),(120,1),(142,1),(152,1),(154,1),(166,1),(169,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(36,1),(63,1),(67,1),(70,1),(78,1),(108,1),(110,1),(118,1),(142,1),(151,1),(167,1),(168,1)}
        48:{2,4,7}:{(29,1),(37,1),(64,1),(67,1),(68,1)}
        49:{2,4,6}:{(30,1),(31,1),(32,1),(70,1)}
        50:{3,5,7}:{(31,1),(68,1),(70,1),(110,1)}
        51:{1,4,5,6}:{(32,1),(34,1),(41,1),(69,1),(72,1),(75,1),(105,1),(117,1),(150,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(35,1),(70,1),(72,1),(73,1),(113,1),(115,1),(150,1),(168,1)}
        53:{2,4,5,7}:{(33,1),(71,1),(73,1),(74,1),(77,1),(82,1),(107,1),(116,1),(118,1),(122,1),(142,1),(146,1),(154,1),(166,1)}
        54:{3,5,6}:{(34,1),(35,1),(43,1),(110,1),(168,1)}
        55:{1,4,6}:{(36,1),(37,1),(67,1),(75,1),(173,1)}
        56:{1,3,4,7}:{(37,1),(39,1),(68,1),(76,1),(77,1),(173,1),(174,1)}
        57:{1,3,6}:{(38,1),(39,1),(70,1),(78,1),(168,1)}
        58:{2,3,5,7}:{(39,1),(77,1),(78,1),(79,1),(116,1),(118,1),(149,1),(167,1)}
        59:{2,4,5,7}:{(40,1),(41,1),(69,1),(80,1),(82,1),(122,1)}
        60:{3,6,7}:{(40,1),(70,1),(80,1)}
        61:{1,3,5,7}:{(41,1),(42,1),(43,1),(72,1),(80,1),(82,1)}
        62:{2,4,6,7}:{(42,1),(73,1),(81,1),(82,1),(83,1),(122,1),(124,1),(154,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(47,1),(84,1),(86,1),(99,1),(125,1),(137,1),(162,1)}
        64:{1,4,7}:{(44,1),(48,1),(84,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(49,1),(84,1),(86,1),(95,1),(126,1),(136,1),(161,1)}
        66:{1,3,5,7}:{(46,1),(50,1),(85,1),(86,1),(87,1),(125,1),(139,1),(162,1),(163,1),(171,1)}
        67:{2,4,6}:{(47,1),(48,1),(55,1),(84,1),(88,1),(89,1),(172,1)}
        68:{3,4,7}:{(48,1),(50,1),(89,1),(163,1)}
        69:{2,4,5,6}:{(49,1),(51,1),(59,1),(88,1),(91,1),(94,1),(134,1)}
        70:{3,6}:{(49,1),(50,1)}
        71:{2,3,5,7}:{(50,1),(53,1),(90,1),(92,1),(93,1),(131,1),(163,1),(171,1)}
        72:{1,3,5,6}:{(51,1),(52,1),(54,1),(61,1),(91,1),(94,1),(96,1),(125,1)}
        73:{2,4,6}:{(52,1),(53,1),(92,1),(94,1),(95,1),(136,1)}
        74:{1,4,5,7}:{(53,1),(93,1),(95,1),(98,1),(104,1),(127,1),(137,1),(140,1),(155,1),(158,1)}
        75:{1,4,5}:{(55,1),(88,1),(96,1),(155,1)}
        76:{1,3,4,6}:{(55,1),(56,1),(57,1),(89,1),(96,1),(97,1)}
        77:{2,4,7}:{(56,1),(58,1),(97,1),(98,1),(172,1)}
        78:{2,3,6}:{(57,1),(58,1),(97,1),(99,1),(136,1)}
        79:{1,3,5,7}:{(58,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{3,5,7}:{(59,1),(60,1),(91,1),(101,1)}
        81:{2,3,6,7}:{(60,1),(62,1),(92,1),(102,1),(103,1),(163,1)}
        82:{2,5,7}:{(61,1),(62,1),(94,1),(104,1)}
        83:{1,4,6,7}:{(62,1),(95,1),(103,1),(104,1),(140,1)}
        84:{1,4,6}:{(63,1),(64,1),(67,1),(105,1),(169,1)}
        85:{1,3,4,7}:{(64,1),(66,1),(68,1),(106,1),(107,1),(169,1),(174,1)}
        86:{1,3,6}:{(65,1),(66,1),(70,1),(108,1),(168,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(116,1),(142,1),(149,1),(167,1)}
        88:{2,4,5}:{(67,1),(75,1),(105,1),(110,1),(118,1),(142,1)}
        89:{3,4,6}:{(67,1),(68,1),(70,1),(110,1),(168,1),(174,1)}
        90:{2,3,4,7}:{(68,1),(71,1),(77,1),(107,1),(111,1),(112,1),(122,1),(149,1),(174,1)}
        91:{3,5,6}:{(69,1),(70,1),(80,1),(110,1),(113,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(168,1)}
        93:{1,3,5,7}:{(71,1),(74,1),(112,1),(115,1),(116,1),(147,1)}
        94:{2,5,6}:{(72,1),(73,1),(82,1),(117,1),(118,1),(142,1)}
        95:{1,4,6}:{(73,1),(74,1),(115,1),(117,1)}
        96:{1,3,5}:{(75,1),(76,1),(110,1),(118,1)}
        97:{2,4,6}:{(76,1),(77,1),(78,1),(118,1),(119,1)}
        98:{1,4,7}:{(77,1),(79,1),(119,1),(169,1)}
        99:{1,3,6}:{(78,1),(79,1),(119,1),(121,1)}
       100:{1,2,5,7}:{(79,1),(116,1),(120,1),(121,1),(152,1)}
       101:{3,4,7}:{(80,1),(113,1),(122,1)}
       102:{2,3,5,7}:{(80,1),(81,1),(82,1),(114,1),(122,1),(123,1)}
       103:{1,3,6,7}:{(81,1),(83,1),(115,1),(123,1),(124,1)}
       104:{1,5,7}:{(82,1),(83,1),(117,1)}
       105:{1,4,5}:{(84,1),(88,1),(125,1),(137,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(89,1),(125,1),(126,1)}
       107:{2,4,7}:{(85,1),(87,1),(126,1),(127,1),(172,1)}
       108:{2,3,6}:{(86,1),(87,1),(126,1),(128,1),(136,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,5}:{(88,1),(89,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(92,1),(97,1),(126,1),(131,1),(132,1),(134,1),(160,1),(172,1)}
       112:{1,3,4,7}:{(90,1),(93,1),(98,1),(127,1),(132,1),(133,1),(139,1),(140,1),(157,1),(163,1)}
       113:{3,4,6}:{(91,1),(101,1),(130,1),(134,1)}
       114:{2,3,5,6}:{(91,1),(92,1),(94,1),(102,1),(131,1),(134,1),(135,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(136,1)}
       116:{2,5,7}:{(93,1),(133,1),(136,1),(159,1)}
       117:{1,5,6}:{(94,1),(95,1),(104,1),(137,1),(155,1)}
       118:{2,5}:{(96,1),(97,1),(137,1)}
       119:{1,4,6}:{(97,1),(98,1),(99,1),(137,1)}
       120:{1,2,4,7}:{(98,1),(100,1),(133,1),(138,1),(139,1)}
       121:{1,2,6}:{(99,1),(100,1),(136,1)}
       122:{2,4,7}:{(101,1),(102,1),(134,1),(140,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(135,1),(140,1),(141,1),(163,1)}
       124:{2,6,7}:{(103,1),(136,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(110,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,4,7}:{(107,1),(109,1),(143,1),(173,1)}
       128:{1,3,6}:{(108,1),(109,1),(143,1),(145,1)}
       129:{1,2,5,7}:{(109,1),(116,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(118,1),(142,1),(146,1),(147,1)}
       132:{1,3,4,6}:{(111,1),(112,1),(115,1),(119,1),(143,1),(147,1),(148,1),(150,1),(153,1),(165,1),(168,1),(169,1),(173,1),(174,1)}
       133:{2,4,7}:{(112,1),(116,1),(148,1),(149,1)}
       134:{2,4,6}:{(113,1),(114,1),(122,1),(146,1),(150,1)}
       135:{1,3,5,6}:{(114,1),(115,1),(117,1),(123,1),(147,1),(150,1),(151,1),(168,1)}
       136:{2,6}:{(115,1),(116,1)}
       137:{1,5}:{(118,1),(119,1)}
       138:{1,2,4,6}:{(119,1),(120,1),(121,1),(148,1),(152,1),(153,1),(169,1)}
       139:{1,3,7}:{(120,1),(149,1),(153,1)}
       140:{1,4,7}:{(122,1),(123,1),(150,1),(154,1)}
       141:{2,5,7}:{(123,1),(124,1),(151,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,4,7}:{(127,1),(129,1),(133,1),(156,1),(157,1)}
       145:{1,2,6}:{(128,1),(129,1),(136,1)}
       146:{2,4,5}:{(130,1),(131,1),(134,1),(158,1),(172,1)}
       147:{1,3,5}:{(131,1),(132,1),(137,1),(155,1),(158,1),(159,1),(171,1)}
       148:{2,4,6}:{(132,1),(133,1),(136,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(139,1),(157,1),(160,1),(163,1)}
       150:{1,4,6}:{(134,1),(135,1),(140,1),(158,1),(161,1)}
       151:{2,5,6}:{(135,1),(136,1),(141,1),(159,1),(161,1)}
       152:{1,2,5}:{(137,1),(138,1),(159,1),(162,1)}
       153:{1,3,6}:{(138,1),(139,1),(160,1),(162,1)}
       154:{2,4,7}:{(140,1),(141,1),(161,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(148,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(144,1),(149,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(153,1),(165,1),(167,1),(168,1)}
       161:{2,4,6}:{(150,1),(151,1),(154,1),(166,1),(168,1)}
       162:{1,3,5}:{(152,1),(153,1),(167,1),(169,1)}
       163:{3,7}:{(154,1),(168,1)}
       164:{1,2,5}:{(155,1),(156,1),(159,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(160,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{2,3,5}:{(159,1),(160,1),(162,1),(170,1),(171,1),(172,1)}
       168:{3,6}:{(161,1),(163,1),(171,1)}
       169:{1,4}:{(162,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,5}:{(166,1),(168,1),(174,1)}
       172:{2,4}:{(167,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1792 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(32,1),(33,1),(159,1),(217,1),(218,1),(321,1),(327,1),(414,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(41,1),(268,1),(377,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(47,1),(205,1),(271,1),(374,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(25,1),(414,1),(420,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(32,1),(218,1),(220,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(67,1),(418,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(32,1),(75,1),(256,1),(321,1),(324,1),(440,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(41,1),(60,1),(104,1),(105,1),(120,1),(169,1),(275,1),(284,1),(377,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(44,1),(58,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(41,1),(52,1),(172,1),(176,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(271,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(99,1),(370,1),(399,1),(400,1)}
        13:{1,3,4,5}:{(8,1),(24,1),(25,1),(420,1),(428,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(24,1),(27,1),(28,1),(32,1),(218,1),(336,1)}
        15:{1,2,4,5,7}:{(7,1),(28,1),(29,1),(67,1),(89,1),(139,1),(140,1),(161,1),(219,1),(325,1),(332,1),(418,1)}
        16:{2,3,5}:{(8,1),(10,1),(25,1),(30,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(9,1),(32,1),(33,1),(71,1),(81,1)}
        19:{1,3,4,6}:{(10,1),(30,1),(34,1),(35,1),(66,1),(79,1),(136,1),(141,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(31,1),(35,1),(67,1),(224,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(32,1),(36,1),(37,1),(81,1),(324,1),(326,1),(349,1),(352,1),(353,1),(418,1)}
        22:{1,2,5,7}:{(12,1),(33,1),(37,1),(139,1),(414,1)}
        23:{1,3,4,5,6}:{(24,1),(38,1),(39,1),(72,1),(86,1),(164,1),(231,1),(232,1),(336,1),(364,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(41,1),(42,1),(377,1),(385,1)}
        25:{2,4,5}:{(13,1),(16,1),(41,1),(43,1)}
        26:{1,3,4,5,7}:{(13,1),(17,1),(42,1),(44,1),(45,1),(58,1),(100,1),(119,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(41,1),(46,1),(47,1),(52,1),(104,1),(120,1),(172,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(42,1),(47,1),(48,1),(271,1),(382,1)}
        29:{1,2,4,6,7}:{(15,1),(18,1),(48,1),(49,1),(99,1),(110,1),(125,1),(208,1),(312,1)}
        30:{1,3,5}:{(16,1),(19,1),(43,1),(50,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(20,1),(44,1),(51,1),(52,1)}
        32:{1,3,6}:{(17,1),(18,1),(52,1)}
        33:{1,2,5,6}:{(18,1),(22,1),(53,1),(104,1),(399,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(54,1),(55,1),(111,1),(113,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(51,1),(55,1),(98,1),(182,1)}
        36:{2,3,4,6,7}:{(20,1),(21,1),(52,1),(56,1),(57,1),(99,1),(115,1),(196,1),(278,1),(282,1),(298,1),(301,1),(303,1),(381,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(53,1),(57,1),(58,1),(376,1),(392,1)}
        38:{2,4,5,6}:{(23,1),(41,1),(59,1),(60,1),(61,1),(104,1),(120,1),(206,1),(405,1)}
        39:{1,3,4,5,7}:{(23,1),(42,1),(61,1),(62,1),(100,1),(121,1),(212,1),(280,1),(281,1),(315,1),(382,1)}
        40:{2,3,4,5}:{(25,1),(63,1),(64,1),(132,1),(257,1),(428,1)}
        41:{2,4,6}:{(24,1),(25,1),(27,1),(66,1),(67,1)}
        42:{1,3,4,7}:{(24,1),(28,1),(67,1),(418,1),(425,1)}
        43:{1,4,5}:{(25,1),(30,1),(66,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(31,1),(67,1),(70,1),(71,1),(139,1)}
        45:{1,3,4,6}:{(26,1),(32,1),(71,1),(72,1),(81,1),(155,1)}
        46:{1,3,5,6}:{(27,1),(30,1),(66,1),(73,1),(74,1),(79,1),(136,1),(144,1)}
        47:{2,3,5,7}:{(27,1),(28,1),(67,1),(74,1),(75,1),(139,1),(161,1),(224,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(32,1),(75,1),(362,1)}
        49:{1,2,5,6,7}:{(29,1),(33,1),(76,1),(139,1),(167,1),(260,1),(325,1),(437,1)}
        50:{1,2,5}:{(30,1),(34,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(35,1),(70,1),(78,1),(79,1)}
        52:{2,3,6}:{(31,1),(32,1),(71,1),(79,1)}
        53:{1,3,5,6}:{(32,1),(33,1),(37,1),(80,1),(81,1),(346,1),(352,1)}
        54:{1,2,3,6}:{(34,1),(77,1),(82,1),(136,1)}
        55:{1,2,4,7}:{(34,1),(35,1),(78,1),(82,1)}
        56:{1,3,4,6,7}:{(35,1),(36,1),(79,1),(83,1),(84,1),(138,1),(154,1),(235,1),(239,1),(249,1),(251,1),(340,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(80,1),(84,1),(85,1),(139,1),(238,1),(334,1),(342,1)}
        58:{1,4,5,7}:{(37,1),(81,1),(85,1),(418,1),(420,1)}
        59:{2,3,5,6}:{(38,1),(63,1),(86,1),(87,1),(336,1)}
        60:{1,4,5,6}:{(38,1),(66,1),(86,1),(89,1),(144,1),(254,1),(441,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(67,1),(87,1),(89,1),(90,1),(139,1),(161,1),(258,1),(360,1)}
        62:{1,3,4,6,7}:{(39,1),(90,1),(91,1),(162,1),(261,1),(262,1),(362,1)}
        63:{2,3,4,6}:{(40,1),(41,1),(59,1),(92,1),(93,1),(172,1),(206,1),(385,1)}
        64:{1,3,4,5}:{(40,1),(43,1),(92,1),(94,1),(101,1),(170,1),(305,1)}
        65:{2,3,4,5,7}:{(40,1),(44,1),(93,1),(95,1),(96,1),(119,1),(175,1),(177,1),(203,1),(309,1),(381,1),(384,1),(461,1),(462,1),(464,1),(510,1)}
        66:{1,4,6}:{(41,1),(43,1),(46,1),(98,1)}
        67:{2,4,7}:{(41,1),(42,1),(47,1),(98,1)}
        68:{1,3,4,6,7}:{(42,1),(45,1),(48,1),(99,1),(100,1),(110,1),(196,1)}
        69:{1,2,4,5}:{(43,1),(50,1),(94,1),(97,1),(101,1),(111,1)}
        70:{1,4,5,7}:{(43,1),(44,1),(51,1),(98,1),(103,1),(184,1)}
        71:{2,4,6}:{(44,1),(45,1),(52,1),(103,1),(104,1)}
        72:{1,3,5,6}:{(45,1),(100,1),(104,1),(105,1),(190,1)}
        73:{1,2,5,6}:{(46,1),(50,1),(97,1),(107,1),(113,1),(120,1)}
        74:{1,3,5,7}:{(46,1),(47,1),(98,1),(107,1),(108,1),(182,1),(184,1)}
        75:{2,3,6,7}:{(47,1),(48,1),(52,1),(99,1),(108,1),(208,1)}
        76:{1,3,5,6,7}:{(48,1),(49,1),(53,1),(100,1),(109,1),(110,1),(374,1),(392,1),(396,1)}
        77:{1,2,3,5}:{(50,1),(54,1),(101,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(55,1),(113,1)}
        79:{1,3,6}:{(51,1),(52,1),(103,1),(113,1)}
        80:{2,3,5,6}:{(52,1),(53,1),(57,1),(104,1),(114,1),(115,1),(190,1),(294,1),(301,1)}
        81:{1,4,6}:{(53,1),(58,1),(115,1)}
        82:{1,2,3,7}:{(54,1),(55,1),(182,1)}
        83:{1,2,4,6,7}:{(55,1),(56,1),(113,1),(116,1),(117,1),(197,1),(199,1),(201,1),(298,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(114,1),(117,1),(118,1),(184,1),(291,1)}
        85:{2,4,5,7}:{(57,1),(58,1),(115,1),(118,1),(119,1),(381,1),(384,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(92,1),(120,1),(121,1)}
        87:{2,3,5,7}:{(59,1),(61,1),(93,1),(121,1),(122,1),(382,1)}
        88:{1,2,4,5,6}:{(60,1),(97,1),(120,1),(123,1),(124,1),(188,1),(191,1),(206,1),(284,1),(292,1),(295,1),(405,1),(410,1)}
        89:{1,4,5,7}:{(60,1),(61,1),(98,1),(121,1),(125,1),(184,1),(306,1),(402,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(122,1),(125,1),(126,1),(208,1)}
        91:{1,3,5,6,7}:{(62,1),(100,1),(126,1),(127,1),(216,1),(315,1)}
        92:{1,3,4,6}:{(63,1),(64,1),(66,1),(86,1),(129,1),(130,1),(136,1),(218,1),(254,1)}
        93:{2,3,4,7}:{(63,1),(67,1),(87,1),(130,1),(224,1),(258,1),(425,1)}
        94:{2,4,5}:{(64,1),(129,1),(132,1)}
        95:{1,3,4,5,7}:{(64,1),(65,1),(70,1),(130,1),(133,1),(134,1),(142,1),(221,1),(226,1),(253,1),(340,1),(343,1),(355,1),(418,1),(420,1),(425,1),(428,1),(492,1),(494,1),(529,1)}
        96:{2,3,4,6}:{(65,1),(71,1),(134,1),(135,1),(155,1),(229,1),(250,1),(335,1),(359,1),(491,1),(528,1)}
        97:{1,2,4,6}:{(66,1),(69,1),(73,1),(129,1),(136,1),(137,1)}
        98:{1,4,7}:{(66,1),(67,1),(74,1)}
        99:{2,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(138,1),(139,1)}
       100:{1,3,5,7}:{(68,1),(72,1),(139,1),(140,1),(238,1)}
       101:{1,3,5}:{(69,1),(132,1),(136,1),(141,1)}
       102:{1,2,4,5,7}:{(69,1),(70,1),(78,1),(133,1),(137,1),(142,1),(143,1),(151,1),(236,1),(247,1),(340,1),(343,1),(529,1),(530,1),(531,1),(547,1)}
       103:{1,4,6}:{(70,1),(71,1),(79,1),(144,1)}
       104:{2,5,6}:{(71,1),(72,1),(139,1),(144,1)}
       105:{1,4,5,6}:{(72,1),(81,1),(140,1),(145,1),(346,1)}
       106:{1,2,3,5,6}:{(73,1),(77,1),(136,1),(146,1),(147,1),(152,1),(160,1),(233,1),(240,1),(247,1),(338,1),(347,1)}
       107:{1,2,5,7}:{(73,1),(74,1),(137,1),(148,1),(161,1)}
       108:{1,3,6,7}:{(74,1),(75,1),(79,1),(138,1),(148,1)}
       109:{2,3,5,6,7}:{(75,1),(76,1),(80,1),(139,1),(149,1),(150,1),(238,1),(260,1),(331,1),(342,1),(348,1),(362,1)}
       110:{1,4,6,7}:{(76,1),(81,1),(140,1),(150,1),(418,1)}
       111:{1,2,4}:{(77,1),(141,1)}
       112:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(142,1),(151,1),(152,1),(247,1),(547,1),(548,1),(549,1)}
       113:{1,2,6}:{(78,1),(79,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(84,1),(144,1),(153,1),(154,1),(249,1)}
       115:{2,4,6}:{(80,1),(81,1),(85,1),(154,1),(155,1)}
       116:{1,2,3,6,7}:{(82,1),(83,1),(152,1),(156,1),(235,1),(249,1),(348,1),(503,1)}
       117:{1,2,5,7}:{(83,1),(84,1),(153,1),(247,1),(342,1)}
       118:{1,4,5,7}:{(84,1),(85,1),(154,1),(340,1),(343,1)}
       119:{3,4,5,7}:{(85,1),(155,1),(238,1),(425,1),(428,1)}
       120:{2,5,6}:{(86,1),(129,1),(161,1)}
       121:{1,3,5,7}:{(86,1),(87,1),(89,1),(130,1),(161,1),(162,1)}
       122:{2,3,6,7}:{(87,1),(90,1),(162,1),(362,1)}
       123:{1,3,5,6}:{(88,1),(136,1),(160,1),(164,1),(165,1),(233,1),(336,1),(338,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(137,1),(161,1),(165,1),(166,1),(236,1),(258,1),(332,1),(340,1),(360,1),(365,1)}
       125:{1,4,6,7}:{(89,1),(90,1),(162,1),(167,1)}
       126:{2,5,6,7}:{(90,1),(91,1),(139,1),(167,1),(360,1)}
       127:{1,4,5,6,7}:{(91,1),(140,1),(168,1),(261,1),(365,1),(366,1)}
       128:{1,2,4,5}:{(94,1),(169,1),(170,1),(268,1),(305,1),(367,1)}
       129:{2,4,6}:{(92,1),(94,1),(120,1),(172,1),(173,1)}
       130:{1,3,4,7}:{(92,1),(93,1),(98,1),(121,1),(173,1),(182,1),(271,1),(306,1)}
       131:{2,3,4,6,7}:{(93,1),(96,1),(99,1),(122,1),(174,1),(175,1),(196,1),(210,1),(278,1),(298,1),(310,1),(381,1),(407,1),(408,1),(462,1),(475,1)}
       132:{2,3,5}:{(94,1),(101,1),(170,1),(172,1),(176,1)}
       133:{2,4,5,7}:{(94,1),(95,1),(173,1),(177,1),(178,1),(279,1),(381,1),(384,1),(515,1),(516,1)}
       134:{1,3,4,6}:{(95,1),(96,1),(103,1),(178,1),(179,1),(187,1),(274,1),(292,1),(302,1),(377,1),(385,1),(401,1),(542,1)}
       135:{2,3,5,6}:{(96,1),(104,1),(175,1),(179,1),(180,1),(190,1),(294,1),(405,1),(477,1),(521,1)}
       136:{1,3,6}:{(97,1),(101,1),(172,1),(182,1)}
       137:{1,2,4,7}:{(97,1),(98,1),(107,1),(173,1),(182,1)}
       138:{1,4,6,7}:{(98,1),(99,1),(103,1),(108,1),(184,1)}
       139:{2,5,7}:{(99,1),(100,1),(104,1),(184,1)}
       140:{1,4,5,7}:{(100,1),(105,1),(110,1),(185,1),(392,1)}
       141:{1,3,4}:{(101,1),(111,1),(176,1)}
       142:{1,3,5,7}:{(101,1),(102,1),(177,1),(182,1),(186,1),(187,1),(291,1),(543,1),(544,1)}
       143:{1,2,4,6}:{(102,1),(103,1),(113,1),(178,1),(187,1),(188,1),(292,1),(542,1),(551,1)}
       144:{1,5,6}:{(103,1),(104,1),(184,1)}
       145:{2,4,5,6}:{(104,1),(105,1),(115,1),(185,1),(189,1),(190,1),(294,1)}
       146:{1,2,4,6}:{(106,1),(111,1),(181,1),(191,1),(192,1),(206,1),(292,1)}
       147:{1,2,3,5,7}:{(106,1),(107,1),(182,1),(192,1),(193,1),(207,1),(286,1),(288,1),(296,1)}
       148:{1,2,6,7}:{(107,1),(108,1),(113,1),(208,1)}
       149:{1,3,5,6,7}:{(108,1),(109,1),(114,1),(184,1),(194,1),(195,1),(288,1),(290,1),(297,1)}
       150:{2,4,6,7}:{(109,1),(110,1),(115,1),(185,1),(195,1),(196,1),(381,1)}
       151:{1,2,4,7}:{(111,1),(112,1),(186,1),(197,1),(552,1)}
       152:{1,2,3,6}:{(112,1),(113,1),(187,1),(197,1),(551,1)}
       153:{1,2,5,6}:{(113,1),(114,1),(117,1),(199,1),(294,1)}
       154:{1,4,6}:{(114,1),(115,1),(118,1)}
       155:{3,4,6}:{(115,1),(119,1),(190,1)}
       156:{1,2,3,5,7}:{(116,1),(117,1),(198,1),(201,1),(202,1),(288,1),(391,1),(512,1),(543,1)}
       157:{1,2,4,5,7}:{(117,1),(118,1),(199,1),(201,1),(202,1),(203,1),(299,1)}
       158:{1,3,4,5,7}:{(118,1),(119,1),(200,1),(202,1),(203,1),(290,1),(390,1),(393,1)}
       159:{1,2,5,6}:{(120,1),(169,1),(204,1),(205,1),(367,1),(448,1)}
       160:{2,3,5,6}:{(120,1),(123,1),(172,1),(204,1),(206,1),(207,1),(276,1),(379,1),(405,1)}
       161:{2,5,7}:{(120,1),(121,1),(173,1),(208,1)}
       162:{1,3,6,7}:{(121,1),(122,1),(125,1),(208,1)}
       163:{2,3,5,6,7}:{(122,1),(126,1),(175,1),(209,1),(210,1),(216,1),(317,1),(408,1)}
       164:{1,3,4,6}:{(123,1),(206,1),(211,1),(212,1),(292,1),(385,1)}
       165:{1,3,5,7}:{(123,1),(124,1),(182,1),(207,1),(212,1),(213,1),(382,1)}
       166:{1,2,4,6,7}:{(124,1),(125,1),(208,1),(213,1),(214,1),(295,1),(310,1),(312,1),(316,1)}
       167:{1,5,6,7}:{(125,1),(126,1),(184,1),(402,1)}
       168:{2,4,5,6,7}:{(126,1),(127,1),(185,1),(210,1),(215,1),(216,1),(312,1),(317,1),(406,1)}
       169:{1,2,4,6}:{(128,1),(129,1),(159,1),(218,1),(219,1),(254,1)}
       170:{1,3,5}:{(128,1),(132,1),(218,1),(220,1)}
       171:{1,2,4,5,7}:{(128,1),(133,1),(219,1),(221,1),(222,1),(253,1),(320,1),(325,1),(354,1),(355,1),(411,1),(414,1),(418,1),(420,1),(496,1),(497,1)}
       172:{2,3,6}:{(129,1),(132,1),(136,1),(218,1),(224,1)}
       173:{2,4,7}:{(129,1),(130,1),(161,1),(224,1)}
       174:{1,3,4,6,7}:{(130,1),(131,1),(134,1),(138,1),(162,1),(225,1),(226,1),(235,1),(261,1),(324,1),(340,1),(349,1),(356,1),(362,1),(418,1),(425,1),(447,1),(492,1),(502,1)}
       175:{2,3,5,7}:{(131,1),(135,1),(139,1),(226,1),(227,1),(238,1),(342,1),(360,1),(446,1),(501,1)}
       176:{2,3,4}:{(132,1),(141,1),(220,1)}
       177:{2,3,5,7}:{(132,1),(133,1),(142,1),(221,1),(224,1),(228,1),(229,1),(334,1),(533,1),(534,1)}
       178:{2,4,6}:{(133,1),(134,1),(229,1),(230,1)}
       179:{1,3,5,6}:{(134,1),(135,1),(144,1),(226,1),(230,1),(231,1),(336,1),(346,1),(441,1),(536,1)}
       180:{2,4,5,6}:{(135,1),(227,1),(231,1),(232,1),(335,1)}
       181:{1,3,4,6}:{(136,1),(141,1),(146,1),(223,1),(233,1),(234,1),(338,1)}
       182:{1,3,7}:{(136,1),(137,1),(224,1)}
       183:{1,2,4,6,7}:{(137,1),(138,1),(143,1),(148,1),(225,1),(235,1),(236,1),(340,1),(502,1),(503,1),(530,1)}
       184:{1,5,7}:{(138,1),(139,1),(144,1)}
       185:{2,4,5,7}:{(139,1),(140,1),(145,1),(150,1),(237,1),(238,1),(342,1)}
       186:{1,3,4,7}:{(141,1),(142,1),(151,1),(228,1),(239,1),(340,1),(550,1)}
       187:{1,3,6}:{(142,1),(143,1),(229,1)}
       188:{1,2,5,6}:{(143,1),(144,1),(230,1),(236,1),(240,1),(247,1),(536,1)}
       189:{1,4,5,6}:{(144,1),(145,1),(154,1),(237,1),(242,1)}
       190:{3,5,6}:{(145,1),(155,1),(238,1)}
       191:{1,2,4,5}:{(146,1),(233,1),(247,1),(257,1),(343,1)}
       192:{1,2,4,7}:{(146,1),(147,1),(234,1),(258,1),(340,1)}
       193:{1,2,3,6,7}:{(147,1),(148,1),(152,1),(235,1),(244,1),(259,1),(338,1),(548,1)}
       194:{1,2,5,6,7}:{(148,1),(149,1),(153,1),(236,1),(245,1),(260,1),(342,1),(366,1)}
       195:{1,4,6,7}:{(149,1),(150,1),(154,1),(237,1),(340,1)}
       196:{3,4,6,7}:{(150,1),(155,1),(238,1),(362,1),(425,1)}
       197:{1,2,4,6}:{(151,1),(152,1),(239,1),(247,1)}
       198:{1,2,3,5,6}:{(152,1),(153,1),(156,1),(240,1),(247,1),(248,1),(249,1),(345,1),(350,1),(490,1),(532,1),(549,1)}
       199:{1,2,4,6}:{(153,1),(154,1),(157,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(158,1),(242,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(156,1),(248,1),(251,1),(340,1),(432,1)}
       202:{1,3,5,7}:{(157,1),(249,1),(251,1),(252,1),(350,1)}
       203:{2,4,5,7}:{(158,1),(250,1),(252,1),(253,1),(342,1),(432,1),(434,1)}
       204:{1,3,5,6}:{(159,1),(160,1),(218,1),(254,1),(255,1),(322,1),(416,1),(441,1)}
       205:{1,2,5,7}:{(159,1),(161,1),(219,1),(255,1),(256,1)}
       206:{2,4,6}:{(160,1),(164,1),(254,1),(257,1),(258,1)}
       207:{2,3,5,7}:{(160,1),(161,1),(165,1),(224,1),(255,1),(258,1),(259,1),(360,1)}
       208:{2,6,7}:{(161,1),(162,1)}
       209:{1,3,5,6,7}:{(162,1),(163,1),(167,1),(226,1),(260,1),(261,1),(362,1),(366,1),(447,1)}
       210:{2,4,6,7}:{(163,1),(227,1),(261,1),(262,1)}
       211:{1,3,4,5}:{(164,1),(233,1),(257,1),(343,1),(428,1)}
       212:{1,3,4,7}:{(164,1),(165,1),(258,1),(340,1),(425,1)}
       213:{1,3,6,7}:{(165,1),(166,1),(259,1),(338,1),(362,1)}
       214:{1,2,5,6,7}:{(166,1),(167,1),(236,1),(260,1),(265,1),(347,1),(360,1),(503,1)}
       215:{1,4,5,6,7}:{(167,1),(168,1),(237,1),(261,1),(266,1),(442,1)}
       216:{3,5,6,7}:{(168,1),(238,1),(262,1),(362,1),(446,1)}
       217:{1,2,3,5}:{(170,1),(267,1),(268,1),(367,1)}
       218:{1,3,6}:{(169,1),(170,1),(172,1),(271,1)}
       219:{1,2,4,7}:{(169,1),(173,1),(205,1),(271,1),(306,1)}
       220:{1,3,4}:{(170,1),(176,1),(268,1)}
       221:{1,3,5,7}:{(170,1),(171,1),(177,1),(271,1),(273,1),(274,1),(376,1),(518,1),(519,1)}
       222:{1,2,4,6}:{(171,1),(178,1),(274,1),(275,1),(302,1),(377,1),(399,1),(401,1),(448,1)}
       223:{2,3,4,6}:{(172,1),(176,1),(181,1),(206,1),(270,1),(276,1),(277,1),(379,1)}
       224:{2,3,7}:{(172,1),(173,1),(182,1),(271,1)}
       225:{2,4,6,7}:{(173,1),(174,1),(178,1),(208,1),(278,1),(279,1),(381,1),(478,1),(515,1)}
       226:{1,3,5,7}:{(174,1),(175,1),(179,1),(184,1),(279,1),(280,1),(382,1),(392,1),(402,1),(522,1)}
       227:{2,4,5,7}:{(175,1),(180,1),(210,1),(280,1),(281,1),(381,1)}
       228:{2,3,4,7}:{(176,1),(177,1),(186,1),(273,1),(282,1),(381,1),(545,1)}
       229:{2,3,6}:{(177,1),(178,1),(187,1),(274,1)}
       230:{2,5,6}:{(178,1),(179,1),(279,1)}
       231:{1,4,5,6}:{(179,1),(180,1),(280,1),(284,1),(292,1),(377,1)}
       232:{3,4,5,6}:{(180,1),(190,1),(281,1),(385,1),(477,1)}
       233:{1,3,5}:{(181,1),(191,1),(276,1)}
       234:{1,3,4,7}:{(181,1),(182,1),(192,1),(277,1),(286,1)}
       235:{1,3,6,7}:{(182,1),(183,1),(187,1),(278,1),(288,1),(543,1)}
       236:{1,2,5,7}:{(183,1),(184,1),(188,1),(279,1),(288,1),(522,1)}
       237:{1,4,5,7}:{(184,1),(185,1),(189,1),(195,1),(290,1)}
       238:{3,5,7}:{(185,1),(190,1),(196,1)}
       239:{1,3,4,6}:{(186,1),(187,1),(197,1),(282,1),(291,1),(292,1)}
       240:{1,3,5,6}:{(187,1),(188,1),(283,1),(288,1),(291,1),(292,1)}
       241:{1,2,4,5,6}:{(188,1),(189,1),(199,1),(284,1),(289,1),(292,1),(293,1),(294,1),(299,1),(387,1),(394,1),(466,1),(514,1)}
       242:{1,3,5,6}:{(189,1),(190,1),(200,1),(290,1),(294,1)}
       243:{1,2,4,5,7}:{(191,1),(192,1),(286,1),(295,1),(296,1),(309,1),(389,1)}
       244:{1,2,4,6,7}:{(192,1),(193,1),(197,1),(287,1),(295,1),(296,1),(310,1),(539,1),(551,1)}
       245:{1,2,4,6,7}:{(194,1),(195,1),(199,1),(289,1),(297,1),(298,1),(312,1),(409,1),(478,1)}
       246:{1,3,4,6,7}:{(195,1),(196,1),(200,1),(290,1),(297,1),(298,1),(390,1)}
       247:{1,2,5}:{(197,1),(291,1)}
       248:{1,2,4,6}:{(198,1),(201,1),(292,1),(299,1),(300,1),(394,1),(552,1)}
       249:{1,3,6}:{(199,1),(202,1),(301,1)}
       250:{2,4,6}:{(200,1),(203,1),(294,1),(301,1),(302,1)}
       251:{1,3,4,7}:{(201,1),(202,1),(300,1),(303,1),(543,1)}
       252:{2,3,5,7}:{(202,1),(203,1),(301,1),(303,1),(304,1),(397,1)}
       253:{1,4,5,7}:{(203,1),(302,1),(304,1),(392,1),(467,1),(469,1)}
       254:{1,4,6}:{(204,1),(206,1),(305,1),(306,1)}
       255:{1,3,5,7}:{(204,1),(205,1),(207,1),(271,1),(306,1),(307,1),(402,1)}
       256:{1,2,6,7}:{(205,1),(208,1),(307,1),(448,1)}
       257:{2,4,5}:{(206,1),(211,1),(276,1),(305,1)}
       258:{2,4,7}:{(206,1),(207,1),(212,1),(306,1)}
       259:{2,3,6,7}:{(207,1),(208,1),(213,1),(307,1),(310,1),(379,1)}
       260:{2,5,6,7}:{(208,1),(209,1),(279,1),(312,1),(478,1)}
       261:{1,4,6,7}:{(209,1),(210,1),(280,1),(312,1)}
       262:{3,4,6,7}:{(210,1),(216,1),(281,1)}
       263:{1,3,4,5,7}:{(211,1),(212,1),(286,1),(309,1),(314,1),(315,1),(389,1),(461,1)}
       264:{1,3,4,6,7}:{(212,1),(213,1),(310,1),(314,1),(315,1),(316,1),(407,1)}
       265:{1,3,5,6,7}:{(213,1),(214,1),(288,1),(311,1),(315,1),(316,1),(388,1),(476,1),(522,1)}
       266:{1,3,5,6,7}:{(215,1),(216,1),(290,1),(313,1),(317,1),(474,1)}
       267:{1,2,3,6}:{(217,1),(218,1),(318,1),(319,1)}
       268:{1,2,4}:{(217,1),(220,1)}
       269:{1,2,3,5,7}:{(217,1),(221,1),(319,1),(320,1),(321,1),(354,1),(411,1),(414,1),(440,1),(499,1)}
       270:{1,3,4,6}:{(218,1),(220,1),(223,1),(254,1),(318,1),(322,1),(323,1),(416,1)}
       271:{1,3,7}:{(218,1),(219,1),(224,1)}
       272:{1,2,4,6,7}:{(219,1),(222,1),(225,1),(256,1),(324,1),(325,1),(349,1),(356,1),(418,1),(437,1),(496,1)}
       273:{1,3,4,7}:{(220,1),(221,1),(228,1),(320,1),(326,1),(418,1),(535,1)}
       274:{1,3,6}:{(221,1),(222,1),(229,1)}
       275:{1,2,5,6}:{(222,1),(230,1),(325,1),(327,1),(346,1),(414,1),(441,1)}
       276:{2,3,5}:{(223,1),(233,1),(257,1),(322,1)}
       277:{2,3,4,7}:{(223,1),(224,1),(234,1),(258,1),(323,1),(329,1)}
       278:{2,3,6,7}:{(224,1),(225,1),(229,1),(235,1),(324,1),(331,1),(362,1),(533,1)}
       279:{2,5,7}:{(225,1),(226,1),(230,1)}
       280:{1,4,5,7}:{(226,1),(227,1),(231,1),(261,1),(332,1),(340,1),(418,1)}
       281:{3,4,5,7}:{(227,1),(232,1),(238,1),(262,1),(425,1),(446,1)}
       282:{2,3,4,6}:{(228,1),(229,1),(239,1),(326,1),(334,1),(335,1)}
       283:{2,3,5,6}:{(229,1),(230,1),(240,1),(327,1),(331,1),(334,1),(335,1),(336,1)}
       284:{2,4,5,6}:{(230,1),(231,1),(332,1),(335,1),(336,1)}
       285:{1,3,4,5,6}:{(231,1),(232,1),(242,1),(333,1),(336,1),(337,1),(344,1),(421,1),(430,1),(500,1)}
       286:{1,3,5,7}:{(233,1),(234,1),(243,1),(329,1),(338,1)}
       287:{1,3,4,6,7}:{(234,1),(235,1),(239,1),(244,1),(330,1),(338,1),(339,1),(340,1),(431,1),(502,1),(525,1),(546,1)}
       288:{1,3,5,7}:{(235,1),(236,1),(240,1),(331,1),(340,1)}
       289:{1,2,4,5,7}:{(236,1),(237,1),(241,1),(245,1),(332,1),(340,1),(341,1),(342,1),(427,1),(432,1),(493,1),(530,1)}
       290:{1,3,5,7}:{(237,1),(238,1),(242,1),(246,1),(342,1)}
       291:{1,3,5}:{(239,1),(247,1),(334,1),(343,1)}
       292:{1,4,6}:{(240,1),(335,1),(340,1),(343,1)}
       293:{1,3,5,6}:{(241,1),(249,1),(336,1),(341,1),(344,1),(345,1),(350,1),(532,1)}
       294:{2,5,6}:{(242,1),(250,1),(342,1),(346,1)}
       295:{1,2,4,6}:{(243,1),(338,1),(347,1),(359,1),(431,1)}
       296:{1,2,5,7}:{(244,1),(247,1),(339,1),(347,1),(360,1)}
       297:{1,3,6,7}:{(245,1),(249,1),(341,1),(348,1),(362,1)}
       298:{2,4,6,7}:{(246,1),(250,1),(342,1),(348,1),(349,1),(432,1)}
       299:{1,2,4,5}:{(247,1),(248,1),(343,1),(350,1),(434,1)}
       300:{1,3,4,6}:{(248,1),(249,1),(251,1),(350,1),(351,1),(532,1),(550,1)}
       301:{2,3,6}:{(249,1),(250,1),(252,1),(352,1)}
       302:{1,4,6}:{(250,1),(253,1),(346,1),(352,1)}
       303:{2,3,4,7}:{(251,1),(252,1),(351,1),(353,1),(432,1),(533,1)}
       304:{1,3,5,7}:{(252,1),(253,1),(352,1),(353,1),(354,1),(438,1)}
       305:{1,4,5}:{(254,1),(257,1),(322,1)}
       306:{1,4,7}:{(254,1),(255,1),(258,1)}
       307:{1,3,6,7}:{(255,1),(256,1),(259,1),(356,1),(416,1)}
       308:{1,2,5,6,7}:{(256,1),(260,1),(325,1),(357,1),(358,1),(366,1),(479,1),(501,1)}
       309:{2,4,5,7}:{(257,1),(258,1),(263,1),(329,1),(355,1),(359,1),(360,1)}
       310:{2,4,6,7}:{(258,1),(259,1),(264,1),(356,1),(359,1),(360,1)}
       311:{2,3,5,6,7}:{(259,1),(260,1),(265,1),(331,1),(357,1),(360,1),(361,1),(362,1),(423,1),(444,1),(446,1),(501,1)}
       312:{2,4,6,7}:{(260,1),(261,1),(332,1),(362,1)}
       313:{1,3,4,6,7}:{(261,1),(262,1),(266,1),(333,1),(362,1),(363,1),(447,1)}
       314:{1,3,4,6}:{(263,1),(338,1),(359,1),(364,1),(431,1),(491,1)}
       315:{1,3,5,7}:{(264,1),(360,1),(364,1),(365,1),(446,1)}
       316:{1,4,6,7}:{(265,1),(340,1),(361,1),(365,1),(431,1)}
       317:{2,5,6,7}:{(266,1),(342,1),(363,1),(366,1),(501,1)}
       318:{1,2,4,6}:{(267,1),(268,1),(270,1),(367,1),(368,1),(448,1)}
       319:{1,2,3,7}:{(267,1),(271,1),(368,1)}
       320:{1,2,4,7}:{(268,1),(269,1),(273,1),(370,1),(520,1)}
       321:{1,2,3,6}:{(269,1),(274,1),(370,1),(399,1),(448,1)}
       322:{1,3,5}:{(270,1),(276,1),(305,1),(367,1)}
       323:{1,3,4,7}:{(270,1),(271,1),(277,1),(306,1),(368,1),(372,1)}
       324:{1,3,6,7}:{(271,1),(272,1),(274,1),(278,1),(374,1),(518,1)}
       325:{1,2,5,7}:{(272,1),(275,1),(279,1),(374,1),(392,1),(402,1)}
       326:{1,3,4,6}:{(273,1),(274,1),(282,1),(370,1),(376,1),(377,1)}
       327:{1,3,5,6}:{(274,1),(275,1),(283,1),(374,1),(376,1),(377,1)}
       328:{1,2,4,5,6}:{(275,1),(284,1),(375,1),(377,1),(378,1),(387,1),(451,1),(458,1),(466,1),(470,1),(473,1),(504,1),(521,1)}
       329:{2,3,5,7}:{(276,1),(277,1),(286,1),(309,1),(372,1),(379,1)}
       330:{2,3,4,6,7}:{(277,1),(278,1),(282,1),(287,1),(310,1),(373,1),(379,1),(380,1),(381,1),(407,1),(460,1),(475,1),(506,1),(537,1)}
       331:{2,3,5,7}:{(278,1),(279,1),(283,1),(288,1),(374,1),(381,1),(382,1)}
       332:{2,4,5,7}:{(279,1),(280,1),(284,1),(312,1),(381,1),(382,1)}
       333:{1,3,4,5,7}:{(280,1),(281,1),(285,1),(290,1),(313,1),(382,1),(383,1),(390,1),(455,1),(463,1),(474,1)}
       334:{2,3,5}:{(282,1),(291,1),(376,1),(384,1)}
       335:{2,4,6}:{(283,1),(292,1),(377,1),(381,1),(384,1),(385,1)}
       336:{3,5,6}:{(284,1),(382,1),(385,1)}
       337:{2,4,5,6}:{(285,1),(294,1),(383,1),(386,1),(387,1),(394,1),(458,1),(466,1),(521,1)}
       338:{1,3,6}:{(286,1),(295,1),(379,1)}
       339:{1,3,5,7}:{(287,1),(291,1),(296,1),(380,1),(388,1),(389,1),(522,1)}
       340:{1,4,7}:{(288,1),(292,1),(381,1)}
       341:{1,3,5,7}:{(289,1),(293,1),(297,1),(382,1),(390,1),(391,1),(543,1)}
       342:{2,5,7}:{(290,1),(294,1),(298,1),(392,1)}
       343:{1,4,5}:{(291,1),(292,1),(384,1)}
       344:{1,3,4,6}:{(292,1),(293,1),(385,1),(390,1),(393,1),(394,1)}
       345:{2,3,5,6}:{(293,1),(294,1),(301,1),(391,1),(394,1),(395,1),(397,1),(466,1),(517,1)}
       346:{1,5,6}:{(294,1),(302,1),(392,1)}
       347:{1,2,5,6}:{(295,1),(296,1),(388,1),(405,1),(551,1)}
       348:{2,3,6,7}:{(297,1),(298,1),(301,1),(391,1),(396,1),(478,1)}
       349:{1,4,6,7}:{(298,1),(302,1),(392,1),(396,1),(467,1)}
       350:{1,3,5}:{(299,1),(300,1),(397,1)}
       351:{2,3,4,6}:{(300,1),(301,1),(303,1),(394,1),(397,1),(398,1),(517,1),(545,1)}
       352:{1,3,6}:{(301,1),(302,1),(304,1),(399,1)}
       353:{1,3,4,7}:{(303,1),(304,1),(398,1),(400,1),(467,1),(518,1)}
       354:{1,2,5,7}:{(304,1),(399,1),(400,1),(471,1)}
       355:{1,4,5,7}:{(305,1),(306,1),(309,1),(372,1),(401,1),(402,1)}
       356:{1,4,6,7}:{(306,1),(307,1),(310,1),(401,1),(402,1)}
       357:{1,3,5,6,7}:{(307,1),(308,1),(311,1),(374,1),(402,1),(403,1),(404,1),(453,1),(474,1)}
       358:{1,2,4,6,7}:{(308,1),(312,1),(375,1),(403,1),(404,1),(409,1),(475,1),(478,1),(504,1)}
       359:{2,4,6}:{(309,1),(314,1),(379,1),(401,1),(405,1)}
       360:{2,5,7}:{(310,1),(315,1),(402,1),(405,1)}
       361:{2,4,6,7}:{(311,1),(316,1),(381,1),(403,1),(406,1),(407,1),(460,1)}
       362:{3,6,7}:{(312,1),(382,1)}
       363:{2,4,6,7}:{(313,1),(317,1),(383,1),(408,1),(409,1),(478,1)}
       364:{1,3,5,6}:{(314,1),(315,1),(405,1),(410,1),(477,1)}
       365:{1,4,5,7}:{(315,1),(316,1),(406,1),(410,1),(522,1)}
       366:{1,5,6,7}:{(317,1),(392,1),(409,1),(522,1)}
       367:{1,2,5}:{(318,1),(322,1)}
       368:{1,2,4,7}:{(318,1),(319,1),(323,1),(411,1)}
       369:{1,2,3,6,7}:{(319,1),(321,1),(324,1),(412,1),(413,1),(437,1),(444,1),(523,1)}
       370:{1,2,4,6}:{(320,1),(321,1),(326,1),(414,1)}
       371:{1,2,3,5,6}:{(321,1),(327,1),(413,1),(414,1),(415,1),(422,1),(436,1),(479,1),(482,1),(498,1),(499,1),(523,1)}
       372:{1,3,5,7}:{(322,1),(323,1),(329,1),(355,1),(411,1),(416,1)}
       373:{1,3,4,6,7}:{(323,1),(324,1),(326,1),(330,1),(356,1),(412,1),(416,1),(417,1),(418,1),(481,1),(484,1),(523,1)}
       374:{1,3,5,7}:{(324,1),(325,1),(327,1),(331,1),(418,1)}
       375:{1,2,4,5,7}:{(325,1),(328,1),(332,1),(358,1),(418,1),(419,1),(427,1),(442,1),(486,1),(493,1),(496,1),(501,1)}
       376:{1,3,5}:{(326,1),(334,1),(414,1),(420,1)}
       377:{1,4,6}:{(327,1),(335,1),(418,1),(420,1)}
       378:{1,3,5,6}:{(328,1),(336,1),(419,1),(421,1),(422,1),(482,1),(498,1),(523,1)}
       379:{2,3,6}:{(329,1),(338,1),(359,1),(416,1)}
       380:{2,3,5,7}:{(330,1),(334,1),(339,1),(360,1),(417,1),(423,1),(424,1),(446,1),(501,1)}
       381:{2,4,7}:{(331,1),(335,1),(340,1),(418,1),(425,1)}
       382:{3,5,7}:{(332,1),(336,1),(362,1),(425,1)}
       383:{2,4,5,7}:{(333,1),(337,1),(342,1),(363,1),(426,1),(427,1),(432,1),(486,1),(493,1),(501,1)}
       384:{2,4,5}:{(334,1),(335,1),(343,1),(420,1),(428,1)}
       385:{3,4,6}:{(335,1),(336,1),(425,1),(428,1)}
       386:{2,3,5,6}:{(336,1),(337,1),(426,1),(429,1),(430,1)}
       387:{1,4,5,6}:{(337,1),(346,1),(427,1),(430,1),(435,1),(489,1),(536,1)}
       388:{1,3,5,6}:{(338,1),(339,1),(347,1),(423,1),(431,1),(536,1),(546,1)}
       389:{1,4,5,7}:{(339,1),(340,1),(343,1),(424,1),(431,1)}
       390:{1,3,4,7}:{(340,1),(341,1),(344,1),(425,1),(432,1)}
       391:{2,3,5,7}:{(341,1),(342,1),(345,1),(348,1),(432,1),(433,1),(493,1),(533,1)}
       392:{1,5,7}:{(342,1),(346,1),(349,1)}
       393:{1,3,4,5}:{(343,1),(344,1),(350,1),(428,1),(434,1)}
       394:{2,4,6}:{(344,1),(345,1),(432,1),(434,1),(435,1)}
       395:{1,3,5,6}:{(345,1),(346,1),(352,1),(433,1),(435,1),(436,1),(438,1),(498,1)}
       396:{1,3,6,7}:{(348,1),(349,1),(352,1),(433,1),(437,1)}
       397:{2,3,5}:{(350,1),(351,1),(434,1),(438,1)}
       398:{1,3,4,6}:{(351,1),(352,1),(353,1),(435,1),(438,1),(439,1),(498,1),(535,1)}
       399:{1,2,6}:{(352,1),(354,1)}
       400:{1,2,4,7}:{(353,1),(354,1),(439,1),(440,1)}
       401:{1,4,6}:{(355,1),(359,1),(416,1),(441,1)}
       402:{1,5,7}:{(356,1),(360,1),(441,1)}
       403:{1,4,6,7}:{(357,1),(361,1),(418,1),(442,1),(484,1)}
       404:{1,3,6,7}:{(358,1),(362,1),(419,1),(444,1),(523,1)}
       405:{2,5,6}:{(359,1),(360,1),(364,1),(441,1)}
       406:{2,4,5,7}:{(360,1),(361,1),(365,1),(442,1),(445,1),(446,1),(501,1)}
       407:{3,4,6,7}:{(361,1),(362,1),(425,1),(446,1),(491,1)}
       408:{2,3,6,7}:{(362,1),(363,1),(426,1),(447,1)}
       409:{1,4,6,7}:{(363,1),(366,1),(427,1),(447,1)}
       410:{1,4,5,6}:{(364,1),(365,1),(431,1),(445,1),(536,1)}
       411:{1,2,5,7}:{(367,1),(368,1),(372,1),(448,1)}
       412:{1,2,4,6,7}:{(368,1),(369,1),(370,1),(373,1),(448,1),(449,1),(450,1),(475,1),(504,1)}
       413:{1,2,3,5,7}:{(369,1),(371,1),(374,1),(449,1),(450,1),(456,1),(468,1),(505,1),(518,1)}
       414:{1,2,5}:{(370,1),(376,1)}
       415:{1,2,4,6}:{(371,1),(377,1),(450,1),(451,1),(452,1),(458,1),(520,1)}
       416:{1,3,6}:{(372,1),(379,1),(401,1),(448,1)}
       417:{1,3,5,7}:{(373,1),(376,1),(380,1),(402,1),(449,1),(453,1),(454,1)}
       418:{1,4,7}:{(374,1),(377,1),(381,1)}
       419:{1,3,5,7}:{(375,1),(378,1),(382,1),(404,1),(455,1),(456,1),(518,1)}
       420:{1,4,5}:{(376,1),(377,1),(384,1)}
       421:{1,3,4,6}:{(377,1),(378,1),(385,1),(455,1),(457,1),(458,1)}
       422:{2,3,5,6}:{(378,1),(456,1),(458,1),(459,1),(466,1),(507,1),(517,1),(521,1),(537,1)}
       423:{2,3,5,6}:{(379,1),(380,1),(388,1),(405,1),(453,1),(460,1),(477,1),(521,1),(537,1)}
       424:{2,4,5,7}:{(380,1),(381,1),(384,1),(389,1),(454,1),(460,1),(461,1)}
       425:{3,4,7}:{(381,1),(382,1),(385,1)}
       426:{2,3,5,7}:{(382,1),(383,1),(386,1),(408,1),(462,1),(463,1)}
       427:{1,4,5,7}:{(383,1),(387,1),(392,1),(409,1),(463,1),(467,1),(511,1),(522,1)}
       428:{3,4,5}:{(384,1),(385,1)}
       429:{2,3,4,6}:{(385,1),(386,1),(394,1),(458,1),(462,1),(464,1),(465,1),(517,1)}
       430:{1,3,5,6}:{(386,1),(387,1),(463,1),(465,1),(466,1)}
       431:{1,4,6}:{(388,1),(389,1),(460,1)}
       432:{2,4,7}:{(390,1),(391,1),(394,1),(467,1)}
       433:{1,3,5,7}:{(391,1),(392,1),(395,1),(396,1),(467,1),(468,1),(518,1)}
       434:{2,4,5}:{(393,1),(394,1),(397,1),(469,1)}
       435:{1,4,6}:{(394,1),(395,1),(467,1),(469,1)}
       436:{1,2,5,6}:{(395,1),(399,1),(466,1),(468,1),(470,1),(471,1)}
       437:{1,2,6,7}:{(396,1),(399,1),(468,1),(478,1)}
       438:{1,3,5}:{(397,1),(398,1),(469,1),(471,1)}
       439:{1,2,4,6}:{(398,1),(399,1),(400,1),(471,1),(472,1),(520,1)}
       440:{1,2,3,7}:{(400,1),(472,1),(518,1)}
       441:{1,5,6}:{(401,1),(402,1),(405,1)}
       442:{1,4,5,7}:{(402,1),(403,1),(406,1),(473,1),(474,1)}
       443:{1,3,4,6,7}:{(403,1),(404,1),(407,1),(455,1),(474,1),(475,1),(509,1)}
       444:{2,3,6,7}:{(404,1),(456,1),(475,1),(476,1),(478,1),(537,1)}
       445:{2,4,5,6}:{(405,1),(406,1),(410,1),(460,1),(473,1),(477,1),(521,1)}
       446:{3,5,7}:{(406,1),(407,1),(477,1)}
       447:{1,3,6,7}:{(408,1),(409,1),(463,1),(478,1)}
       448:{1,2,6}:{(411,1),(416,1)}
       449:{1,2,5,7}:{(412,1),(414,1),(417,1),(479,1),(501,1)}
       450:{1,2,4,7}:{(413,1),(415,1),(418,1),(481,1),(486,1)}
       451:{1,2,4,5}:{(414,1),(415,1),(420,1),(482,1),(488,1)}
       452:{1,3,4,6}:{(415,1),(481,1),(482,1),(483,1),(498,1),(523,1),(535,1)}
       453:{1,3,5,6}:{(416,1),(417,1),(423,1),(441,1),(479,1),(484,1),(523,1)}
       454:{1,4,5,7}:{(417,1),(418,1),(420,1),(424,1),(484,1)}
       455:{1,3,4,7}:{(418,1),(419,1),(421,1),(425,1),(486,1)}
       456:{2,3,5,7}:{(419,1),(422,1),(444,1),(486,1),(487,1),(493,1),(501,1),(533,1)}
       457:{1,3,4,5}:{(420,1),(421,1),(428,1),(482,1),(488,1)}
       458:{2,4,6}:{(421,1),(422,1),(486,1),(488,1),(489,1)}
       459:{1,3,5,6}:{(422,1),(487,1),(489,1),(490,1),(526,1),(532,1),(536,1),(546,1)}
       460:{2,4,6}:{(423,1),(424,1),(431,1),(484,1),(491,1)}
       461:{3,4,5,7}:{(424,1),(425,1),(428,1),(446,1),(491,1)}
       462:{2,3,4,7}:{(425,1),(426,1),(429,1),(432,1),(486,1),(492,1),(533,1)}
       463:{1,3,5,7}:{(426,1),(427,1),(430,1),(447,1),(492,1),(493,1)}
       464:{2,3,4,5}:{(428,1),(429,1),(434,1),(488,1),(494,1),(534,1)}
       465:{1,3,4,6}:{(429,1),(430,1),(435,1),(489,1),(492,1),(494,1),(495,1),(498,1),(532,1)}
       466:{2,5,6}:{(430,1),(493,1),(495,1)}
       467:{1,4,7}:{(432,1),(433,1),(435,1)}
       468:{1,2,5,7}:{(433,1),(436,1),(437,1),(493,1),(496,1)}
       469:{1,4,5}:{(434,1),(435,1),(438,1)}
       470:{1,2,4,6}:{(435,1),(436,1),(495,1),(496,1),(497,1),(498,1)}
       471:{1,2,5}:{(438,1),(439,1)}
       472:{1,2,3,6}:{(439,1),(440,1),(498,1),(499,1)}
       473:{1,4,5,6}:{(441,1),(442,1),(445,1),(484,1),(500,1)}
       474:{1,3,5,7}:{(442,1),(443,1),(446,1),(500,1),(501,1)}
       475:{2,4,6,7}:{(443,1),(444,1),(486,1),(501,1),(502,1),(528,1)}
       476:{1,3,6,7}:{(444,1),(487,1),(502,1),(503,1),(546,1)}
       477:{3,5,6}:{(445,1),(446,1),(491,1)}
       478:{2,6,7}:{(447,1),(493,1)}
       479:{1,2,5,6}:{(448,1),(449,1),(453,1),(504,1),(521,1)}
       480:{1,2,4,5,7}:{(449,1),(450,1),(451,1),(454,1),(504,1),(505,1),(510,1)}
       481:{1,3,4,7}:{(450,1),(452,1),(505,1),(506,1),(518,1)}
       482:{1,3,5}:{(451,1),(452,1),(507,1)}
       483:{2,3,4,6}:{(452,1),(458,1),(506,1),(507,1),(508,1),(517,1),(537,1),(545,1)}
       484:{1,4,6}:{(453,1),(454,1),(460,1)}
       485:{1,3,4,5,7}:{(454,1),(455,1),(457,1),(461,1),(474,1),(505,1),(509,1),(510,1)}
       486:{2,4,7}:{(455,1),(456,1),(458,1),(511,1)}
       487:{1,3,5,7}:{(456,1),(459,1),(476,1),(511,1),(512,1),(522,1),(543,1)}
       488:{2,4,5}:{(457,1),(458,1),(507,1),(513,1)}
       489:{1,4,6}:{(458,1),(459,1),(511,1),(513,1)}
       490:{1,2,5,6}:{(459,1),(466,1),(512,1),(514,1),(540,1),(551,1)}
       491:{3,4,6}:{(460,1),(461,1),(477,1)}
       492:{1,3,4,7}:{(462,1),(463,1),(465,1),(467,1),(511,1),(515,1),(518,1),(543,1)}
       493:{2,5,7}:{(463,1),(466,1),(478,1),(515,1)}
       494:{1,3,4,5}:{(464,1),(465,1),(469,1),(513,1),(516,1),(519,1),(544,1)}
       495:{2,4,6}:{(465,1),(466,1),(515,1),(516,1),(517,1)}
       496:{1,2,4,7}:{(467,1),(468,1),(470,1),(515,1),(518,1)}
       497:{1,2,4,5}:{(469,1),(470,1),(471,1),(516,1),(519,1),(520,1)}
       498:{1,3,6}:{(470,1),(517,1),(518,1),(519,1)}
       499:{1,2,3,5}:{(471,1),(472,1),(519,1),(520,1)}
       500:{1,3,5,6}:{(473,1),(474,1),(477,1),(509,1),(521,1)}
       501:{2,5,7}:{(474,1),(475,1),(521,1),(522,1)}
       502:{1,4,6,7}:{(475,1),(476,1),(511,1),(522,1),(542,1)}
       503:{1,2,6,7}:{(476,1),(478,1),(512,1),(551,1)}
       504:{1,2,4,6}:{(479,1),(480,1),(484,1),(523,1),(528,1)}
       505:{1,3,5,7}:{(480,1),(481,1),(482,1),(523,1),(524,1)}
       506:{2,3,4,7}:{(481,1),(483,1),(486,1),(524,1),(525,1),(533,1)}
       507:{2,3,5}:{(482,1),(483,1),(488,1),(526,1)}
       508:{1,3,4,6}:{(483,1),(489,1),(525,1),(526,1),(527,1),(532,1),(546,1),(550,1)}
       509:{1,3,4,6}:{(484,1),(485,1),(491,1),(500,1),(523,1),(528,1)}
       510:{2,4,5,7}:{(485,1),(486,1),(488,1),(501,1),(524,1),(528,1),(529,1)}
       511:{1,4,7}:{(486,1),(487,1),(489,1)}
       512:{1,2,5,7}:{(487,1),(490,1),(493,1),(503,1),(530,1)}
       513:{1,4,5}:{(488,1),(489,1),(526,1)}
       514:{1,2,4,6}:{(489,1),(490,1),(495,1),(530,1),(531,1),(532,1)}
       515:{2,4,7}:{(492,1),(493,1),(495,1),(533,1)}
       516:{2,4,5}:{(494,1),(495,1),(534,1)}
       517:{2,3,6}:{(495,1),(498,1),(532,1),(533,1),(534,1)}
       518:{1,3,7}:{(496,1),(498,1),(533,1)}
       519:{1,3,5}:{(497,1),(498,1),(534,1),(535,1)}
       520:{1,2,4}:{(499,1),(535,1)}
       521:{2,5,6}:{(500,1),(501,1),(528,1),(536,1)}
       522:{1,5,7}:{(501,1),(502,1),(536,1)}
       523:{1,3,6}:{(504,1),(505,1),(537,1)}
       524:{2,3,5,7}:{(505,1),(506,1),(507,1),(510,1),(537,1),(538,1)}
       525:{1,3,4,7}:{(506,1),(508,1),(511,1),(538,1),(539,1),(543,1)}
       526:{1,3,5}:{(507,1),(508,1),(513,1),(540,1)}
       527:{1,2,4,6}:{(508,1),(539,1),(540,1),(541,1),(551,1),(552,1)}
       528:{2,4,6}:{(509,1),(510,1),(521,1),(537,1),(542,1)}
       529:{1,4,5,7}:{(510,1),(511,1),(513,1),(522,1),(538,1),(542,1)}
       530:{1,2,4,7}:{(511,1),(512,1),(514,1),(515,1),(543,1)}
       531:{1,2,4,5}:{(513,1),(514,1),(516,1),(540,1),(544,1),(552,1)}
       532:{1,3,6}:{(514,1),(517,1),(543,1),(544,1)}
       533:{2,3,7}:{(515,1),(517,1),(518,1),(543,1)}
       534:{2,3,5}:{(516,1),(517,1),(519,1),(544,1),(545,1)}
       535:{1,3,4}:{(519,1),(520,1),(545,1)}
       536:{1,5,6}:{(521,1),(522,1),(542,1)}
       537:{2,3,6}:{(523,1),(524,1),(528,1),(546,1)}
       538:{1,3,5,7}:{(524,1),(525,1),(526,1),(529,1),(546,1),(547,1)}
       539:{1,2,4,7}:{(525,1),(527,1),(547,1),(548,1)}
       540:{1,2,5}:{(526,1),(527,1)}
       541:{1,2,3,6}:{(527,1),(532,1),(548,1),(549,1)}
       542:{1,4,6}:{(528,1),(529,1),(536,1),(546,1)}
       543:{1,3,7}:{(530,1),(532,1),(533,1)}
       544:{1,3,5}:{(531,1),(532,1),(534,1),(550,1)}
       545:{2,3,4}:{(534,1),(535,1),(550,1)}
       546:{1,3,6}:{(537,1),(538,1),(542,1),(551,1)}
       547:{1,2,5,7}:{(538,1),(539,1),(540,1),(551,1)}
       548:{1,2,3,7}:{(539,1),(541,1),(543,1)}
       549:{1,2,3,5}:{(540,1),(541,1),(544,1),(552,1)}
       550:{1,3,4}:{(544,1),(545,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,2,4}:{(549,1),(550,1)}

1793 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1794 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(120,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(66,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(66,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(112,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(65,1),(66,1),(94,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(80,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(50,1),(102,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(50,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(48,1),(53,1),(80,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(50,1),(81,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(109,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(91,1),(109,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(64,1),(90,1),(110,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(66,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(62,1),(67,1),(91,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(66,1),(72,1),(94,1),(98,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(71,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(42,1)}
        27:{1,2,3,6}:{(14,1),(42,1),(43,1),(100,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(41,1),(44,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(42,1),(44,1),(45,1),(76,1),(78,1),(100,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(44,1)}
        31:{2,3,5}:{(17,1),(19,1),(45,1),(48,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(46,1),(49,1),(122,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(47,1),(49,1),(50,1),(108,1),(118,1)}
        34:{1,4,5}:{(19,1),(48,1),(50,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(49,1),(53,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(44,1),(52,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(46,1),(51,1),(53,1),(80,1)}
        38:{2,5,6}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(53,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(50,1),(54,1),(56,1),(108,1)}
        41:{1,2,5,7}:{(26,1),(28,1),(57,1),(58,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,2,3,5}:{(27,1),(58,1),(59,1),(89,1)}
        44:{1,3,6}:{(28,1),(30,1),(36,1),(57,1)}
        45:{1,3,5}:{(29,1),(31,1),(58,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(37,1),(60,1),(63,1),(98,1),(115,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(61,1),(63,1),(64,1),(71,1),(97,1),(110,1)}
        48:{2,4,5}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(35,1),(63,1),(66,1),(116,1),(123,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(66,1)}
        51:{1,4,6,7}:{(36,1),(37,1),(60,1),(67,1),(91,1)}
        52:{1,5,6}:{(36,1),(38,1),(67,1)}
        53:{2,5,7}:{(37,1),(38,1),(39,1),(67,1)}
        54:{2,4,5,6}:{(38,1),(40,1),(64,1),(68,1),(70,1),(71,1),(97,1)}
        55:{1,3,5,6,7}:{(39,1),(69,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(66,1),(70,1),(72,1),(116,1)}
        57:{1,2,6}:{(41,1),(44,1)}
        58:{1,2,5}:{(42,1),(45,1)}
        59:{1,2,4}:{(43,1),(76,1)}
        60:{1,3,6,7}:{(44,1),(46,1),(51,1),(73,1),(77,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(52,1),(74,1),(77,1),(78,1),(100,1)}
        62:{1,4,5}:{(45,1),(48,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(49,1),(53,1),(77,1),(80,1),(86,1),(107,1),(117,1)}
        64:{2,4,6}:{(47,1),(48,1),(50,1),(78,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,4,7}:{(49,1),(50,1),(80,1)}
        67:{1,5,7}:{(51,1),(52,1),(53,1)}
        68:{1,4,5,6}:{(52,1),(54,1),(78,1),(83,1),(84,1)}
        69:{2,5,6,7}:{(53,1),(55,1),(82,1),(85,1)}
        70:{2,4,5,7}:{(53,1),(54,1),(56,1),(80,1),(83,1),(85,1),(86,1),(107,1)}
        71:{3,5,6}:{(54,1),(81,1),(86,1)}
        72:{1,4,6,7}:{(55,1),(56,1),(85,1),(122,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(115,1)}
        74:{1,2,5,6}:{(57,1),(58,1),(61,1),(87,1),(88,1),(97,1)}
        75:{1,2,4,5}:{(58,1),(59,1),(62,1),(88,1),(89,1),(93,1)}
        76:{1,3,4}:{(59,1),(89,1),(90,1)}
        77:{1,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(87,1),(91,1),(109,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(91,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(89,1),(92,1),(93,1)}
        80:{2,4,7}:{(63,1),(64,1),(66,1),(91,1),(94,1)}
        81:{3,4,6}:{(64,1),(65,1),(71,1),(94,1)}
        82:{1,5,6,7}:{(67,1),(69,1),(95,1)}
        83:{1,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(68,1),(71,1),(92,1),(96,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(72,1),(95,1),(98,1),(115,1)}
        86:{3,5,7}:{(70,1),(71,1),(94,1),(98,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(77,1),(99,1),(107,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(78,1),(99,1),(100,1),(104,1)}
        89:{1,3,5}:{(75,1),(76,1),(100,1),(101,1)}
        90:{2,3,4}:{(76,1),(101,1),(102,1)}
        91:{1,4,7}:{(77,1),(78,1),(80,1)}
        92:{1,3,4,6}:{(78,1),(79,1),(81,1),(84,1),(100,1),(103,1),(104,1)}
        93:{2,4,5}:{(79,1),(101,1),(104,1),(105,1)}
        94:{3,4,7}:{(80,1),(81,1),(86,1)}
        95:{1,4,6,7}:{(82,1),(83,1),(85,1),(106,1)}
        96:{1,3,5,7}:{(83,1),(84,1),(86,1),(103,1),(106,1),(107,1)}
        97:{2,5,6}:{(84,1),(104,1),(107,1),(108,1)}
        98:{3,6,7}:{(85,1),(86,1)}
        99:{1,2,4,7}:{(87,1),(88,1),(91,1),(109,1),(113,1)}
       100:{1,3,6}:{(88,1),(89,1),(109,1),(110,1)}
       101:{2,3,5}:{(89,1),(90,1),(93,1),(110,1),(111,1)}
       102:{1,3,4}:{(90,1),(111,1),(112,1)}
       103:{1,3,4,7}:{(91,1),(92,1),(94,1),(96,1),(109,1),(113,1)}
       104:{2,4,6}:{(92,1),(93,1),(97,1),(110,1),(113,1),(114,1)}
       105:{1,4,5}:{(93,1),(111,1),(114,1)}
       106:{1,3,6,7}:{(95,1),(96,1),(98,1),(115,1)}
       107:{2,5,7}:{(96,1),(97,1),(113,1),(115,1),(116,1)}
       108:{1,5,6}:{(97,1),(114,1),(116,1)}
       109:{1,3,7}:{(99,1),(100,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       111:{1,3,5}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,2,4}:{(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(103,1),(104,1),(107,1),(117,1),(121,1)}
       114:{1,4,6}:{(104,1),(105,1),(108,1),(118,1),(121,1)}
       115:{2,6,7}:{(106,1),(107,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(121,1),(122,1)}
       117:{2,3,7}:{(109,1),(110,1),(113,1),(123,1)}
       118:{1,3,6}:{(110,1),(111,1),(114,1),(123,1),(124,1)}
       119:{1,2,5}:{(111,1),(112,1),(124,1)}
       120:{1,2,3}:{(112,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(123,1)}
       122:{1,6,7}:{(115,1),(116,1)}
       123:{1,3,7}:{(117,1),(118,1),(121,1),(125,1)}
       124:{1,2,6}:{(118,1),(119,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

1795 :   0:{1,2,3,5}:{(1,1),(2,1),(10,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(135,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{1,3,4}:{(2,1),(8,1),(10,1)}
         4:{1,2,3,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(41,1),(154,1),(172,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(12,1),(13,1),(14,1),(37,1)}
         7:{1,3,4,5}:{(10,1),(14,1),(15,1),(37,1),(78,1)}
         8:{2,3,4}:{(3,1),(17,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(18,1),(20,1),(21,1),(22,1),(60,1),(61,1),(136,1),(167,1)}
        10:{1,3,5}:{(3,1),(6,1),(19,1),(22,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(20,1),(23,1),(174,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(24,1),(25,1),(27,1),(60,1)}
        14:{2,4,5}:{(7,1),(19,1),(26,1),(27,1)}
        15:{1,3,4,6}:{(7,1),(22,1),(27,1),(28,1),(29,1),(60,1),(103,1)}
        16:{1,2,3}:{(31,1)}
        17:{1,3,4}:{(8,1),(31,1),(33,1)}
        18:{2,3,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(36,1),(80,1),(81,1),(115,1),(156,1)}
        19:{2,3,5}:{(8,1),(10,1),(14,1),(33,1),(36,1)}
        20:{1,3,4,7}:{(9,1),(11,1),(34,1),(38,1),(40,1),(84,1),(173,1)}
        21:{1,3,5}:{(9,1),(12,1),(35,1),(37,1)}
        22:{1,3,6}:{(10,1),(13,1),(36,1),(40,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(38,1),(41,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(39,1),(41,1),(42,1),(44,1),(172,1)}
        25:{1,2,4,7}:{(13,1),(40,1),(42,1),(45,1),(84,1)}
        26:{1,4,5}:{(14,1),(33,1),(43,1)}
        27:{2,4,6}:{(14,1),(15,1),(36,1),(43,1),(44,1),(45,1)}
        28:{1,3,5,6}:{(15,1),(44,1),(46,1),(47,1),(88,1)}
        29:{1,3,4,7}:{(15,1),(40,1),(45,1),(47,1),(84,1),(126,1)}
        30:{1,2,3,6}:{(16,1),(48,1),(49,1),(50,1),(138,1)}
        31:{1,2,4}:{(16,1),(17,1),(51,1)}
        32:{1,3,4,6}:{(17,1),(18,1),(50,1),(52,1),(53,1),(54,1),(92,1),(99,1),(100,1),(138,1)}
        33:{1,3,5}:{(17,1),(19,1),(26,1),(51,1),(54,1)}
        34:{2,3,4,7}:{(18,1),(20,1),(52,1),(56,1),(58,1),(105,1),(168,1)}
        35:{2,3,5}:{(18,1),(21,1),(53,1),(55,1)}
        36:{2,3,6}:{(19,1),(22,1),(27,1),(54,1),(58,1)}
        37:{1,4,5}:{(21,1),(55,1),(60,1)}
        38:{1,3,5,7}:{(20,1),(21,1),(23,1),(56,1),(59,1),(61,1)}
        39:{1,3,5,6}:{(21,1),(22,1),(24,1),(57,1),(60,1),(61,1),(62,1),(107,1),(149,1),(167,1)}
        40:{1,3,7}:{(22,1),(25,1),(58,1)}
        41:{1,2,6}:{(23,1),(61,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1),(67,1),(174,1)}
        43:{1,4,6}:{(26,1),(27,1),(54,1),(64,1),(65,1)}
        44:{2,5,6}:{(27,1),(28,1),(64,1),(67,1)}
        45:{2,4,7}:{(27,1),(29,1),(58,1),(65,1),(67,1)}
        46:{1,4,5,6}:{(28,1),(60,1),(66,1),(68,1),(107,1),(149,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(67,1),(68,1),(69,1),(112,1)}
        48:{1,2,3,5}:{(30,1),(70,1),(72,1),(116,1)}
        49:{1,2,3,7}:{(30,1),(71,1),(157,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(32,1),(70,1),(71,1),(72,1),(73,1),(118,1)}
        51:{1,2,5}:{(31,1),(33,1),(73,1)}
        52:{1,3,4,7}:{(32,1),(34,1),(71,1),(75,1),(77,1),(123,1),(157,1)}
        53:{1,3,5}:{(32,1),(35,1),(72,1),(74,1)}
        54:{1,3,6}:{(33,1),(36,1),(43,1),(73,1),(77,1)}
        55:{2,4,5}:{(35,1),(37,1),(74,1),(78,1),(80,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(38,1),(75,1),(79,1),(81,1)}
        57:{2,3,5,6}:{(35,1),(36,1),(39,1),(44,1),(76,1),(80,1),(81,1),(82,1),(88,1),(127,1),(130,1),(156,1)}
        58:{2,3,7}:{(36,1),(40,1),(45,1),(77,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(79,1),(83,1),(84,1),(129,1)}
        60:{1,4,6}:{(37,1),(39,1),(80,1),(84,1)}
        61:{1,3,6}:{(38,1),(41,1),(81,1),(83,1)}
        62:{1,3,5,7}:{(39,1),(40,1),(42,1),(82,1),(84,1),(85,1),(129,1),(163,1),(173,1)}
        63:{1,2,6,7}:{(41,1),(42,1),(85,1),(90,1)}
        64:{1,5,6}:{(43,1),(44,1),(87,1)}
        65:{1,4,7}:{(43,1),(45,1),(77,1),(87,1)}
        66:{2,4,5,6}:{(44,1),(46,1),(80,1),(86,1),(88,1),(89,1),(127,1),(130,1),(161,1)}
        67:{2,5,7}:{(44,1),(45,1),(47,1),(87,1),(90,1)}
        68:{1,4,5,7}:{(46,1),(47,1),(84,1),(89,1),(91,1),(129,1),(163,1)}
        69:{1,3,6,7}:{(47,1),(90,1),(91,1),(133,1)}
        70:{1,2,4}:{(48,1),(92,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(52,1),(94,1),(96,1)}
        72:{1,2,5}:{(50,1),(53,1)}
        73:{1,2,6}:{(51,1),(54,1),(96,1)}
        74:{1,4,5}:{(53,1),(55,1),(99,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(56,1),(94,1),(98,1),(100,1)}
        76:{1,3,5,6}:{(53,1),(54,1),(57,1),(64,1),(95,1),(99,1),(100,1),(101,1),(138,1),(144,1)}
        77:{1,3,7}:{(54,1),(58,1),(65,1),(96,1)}
        78:{3,4,5}:{(55,1),(103,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(98,1),(102,1),(104,1),(105,1),(148,1)}
        80:{2,4,6}:{(55,1),(57,1),(60,1),(99,1),(103,1),(105,1)}
        81:{2,3,6}:{(56,1),(61,1),(100,1),(104,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(62,1),(67,1),(101,1),(105,1),(106,1),(112,1),(148,1),(150,1),(168,1)}
        83:{1,4,6}:{(59,1),(61,1),(104,1),(107,1)}
        84:{1,4,7}:{(60,1),(62,1),(105,1)}
        85:{1,3,6,7}:{(61,1),(62,1),(63,1),(106,1),(108,1),(171,1)}
        86:{1,4,5,6}:{(64,1),(66,1),(99,1),(109,1),(110,1),(144,1)}
        87:{1,5,7}:{(64,1),(65,1),(67,1),(111,1)}
        88:{3,5,6}:{(66,1),(103,1),(112,1)}
        89:{2,4,5,7}:{(66,1),(67,1),(68,1),(105,1),(110,1),(112,1),(113,1),(148,1),(150,1),(170,1)}
        90:{2,6,7}:{(67,1),(69,1),(111,1)}
        91:{1,4,6,7}:{(68,1),(69,1),(113,1),(114,1),(171,1)}
        92:{1,3,4}:{(70,1),(115,1),(116,1)}
        93:{1,2,4,5}:{(70,1),(72,1),(74,1),(116,1),(117,1),(120,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(75,1),(118,1)}
        95:{1,2,5,6}:{(72,1),(73,1),(76,1),(117,1),(118,1),(119,1),(130,1)}
        96:{1,2,7}:{(73,1),(77,1)}
        97:{1,3,4,5}:{(74,1),(78,1),(116,1),(120,1),(121,1)}
        98:{1,4,5,7}:{(74,1),(75,1),(79,1),(122,1),(123,1),(160,1)}
        99:{1,4,6}:{(74,1),(76,1),(80,1),(123,1)}
       100:{1,3,6}:{(75,1),(81,1),(118,1),(122,1)}
       101:{1,3,5,7}:{(76,1),(77,1),(82,1),(87,1),(119,1),(123,1),(124,1),(157,1),(160,1)}
       102:{3,4,5,7}:{(78,1),(79,1),(125,1),(126,1),(162,1)}
       103:{3,4,6}:{(78,1),(80,1),(88,1),(126,1)}
       104:{2,4,6}:{(79,1),(81,1),(83,1),(122,1),(125,1),(127,1)}
       105:{2,4,7}:{(80,1),(82,1),(84,1),(123,1),(126,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(85,1),(90,1),(124,1),(128,1),(133,1),(164,1)}
       107:{1,5,6}:{(83,1),(127,1),(129,1)}
       108:{1,4,6,7}:{(83,1),(84,1),(85,1),(128,1),(129,1)}
       109:{1,3,5,6}:{(86,1),(88,1),(121,1),(130,1),(131,1)}
       110:{1,4,5,7}:{(86,1),(87,1),(89,1),(123,1),(131,1),(132,1),(160,1)}
       111:{1,6,7}:{(87,1),(90,1)}
       112:{3,5,7}:{(88,1),(89,1),(126,1),(133,1)}
       113:{2,4,6,7}:{(89,1),(90,1),(91,1),(132,1),(133,1),(134,1),(164,1),(165,1)}
       114:{1,5,6,7}:{(91,1),(129,1),(134,1)}
       115:{2,3,4}:{(92,1),(136,1),(137,1)}
       116:{1,3,5}:{(92,1),(93,1),(137,1),(138,1)}
       117:{1,2,4,6}:{(93,1),(95,1),(99,1),(138,1),(139,1),(142,1)}
       118:{1,2,6}:{(94,1),(100,1)}
       119:{1,2,5,7}:{(95,1),(96,1),(101,1),(139,1),(140,1),(150,1)}
       120:{2,4,5}:{(97,1),(137,1),(141,1),(142,1)}
       121:{1,3,4,6}:{(97,1),(99,1),(103,1),(109,1),(138,1),(142,1),(143,1)}
       122:{1,4,6}:{(98,1),(100,1),(104,1),(144,1)}
       123:{1,4,7}:{(99,1),(101,1),(105,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(106,1),(111,1),(140,1),(145,1)}
       125:{3,4,6}:{(102,1),(104,1),(146,1)}
       126:{3,4,7}:{(103,1),(105,1),(112,1)}
       127:{2,5,6}:{(104,1),(107,1),(144,1),(146,1),(148,1)}
       128:{2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(145,1),(147,1),(148,1)}
       129:{1,5,7}:{(107,1),(108,1),(148,1)}
       130:{2,5,6}:{(109,1),(142,1),(149,1),(150,1)}
       131:{1,3,5,7}:{(109,1),(110,1),(112,1),(143,1),(150,1),(151,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(113,1),(151,1),(152,1)}
       133:{3,6,7}:{(112,1),(113,1)}
       134:{2,5,6,7}:{(113,1),(114,1),(148,1),(152,1),(153,1)}
       135:{1,2,3}:{(154,1)}
       136:{1,3,4}:{(115,1),(154,1),(155,1)}
       137:{2,3,5}:{(115,1),(116,1),(120,1),(155,1),(156,1)}
       138:{1,3,6}:{(116,1),(117,1),(156,1),(157,1)}
       139:{1,2,4,7}:{(117,1),(119,1),(123,1),(157,1),(159,1)}
       140:{1,2,6,7}:{(118,1),(119,1),(124,1),(164,1)}
       141:{1,4,5}:{(120,1),(155,1),(158,1)}
       142:{2,4,6}:{(120,1),(121,1),(130,1),(156,1),(158,1),(159,1)}
       143:{1,3,4,7}:{(121,1),(123,1),(126,1),(131,1),(157,1),(159,1)}
       144:{1,5,6}:{(122,1),(127,1),(160,1)}
       145:{1,4,6,7}:{(122,1),(123,1),(124,1),(128,1),(160,1)}
       146:{3,5,6}:{(125,1),(127,1),(161,1),(162,1)}
       147:{3,4,6,7}:{(125,1),(126,1),(128,1),(133,1),(162,1),(165,1)}
       148:{2,5,7}:{(127,1),(128,1),(129,1),(160,1),(162,1)}
       149:{1,5,6}:{(130,1),(158,1),(163,1)}
       150:{2,5,7}:{(130,1),(131,1),(159,1),(163,1),(164,1)}
       151:{1,3,6,7}:{(131,1),(132,1),(133,1),(164,1)}
       152:{1,5,6,7}:{(132,1),(134,1),(160,1)}
       153:{3,5,6,7}:{(133,1),(134,1),(162,1),(165,1)}
       154:{1,2,4}:{(135,1),(136,1),(166,1)}
       155:{1,3,5}:{(136,1),(137,1),(141,1),(166,1),(167,1)}
       156:{2,3,6}:{(137,1),(138,1),(142,1),(167,1),(168,1)}
       157:{1,3,7}:{(138,1),(139,1),(168,1)}
       158:{1,4,6}:{(141,1),(142,1),(149,1),(167,1),(169,1)}
       159:{2,4,7}:{(142,1),(143,1),(150,1),(168,1),(169,1)}
       160:{1,5,7}:{(144,1),(145,1),(148,1)}
       161:{4,5,6}:{(146,1),(170,1)}
       162:{3,5,7}:{(146,1),(147,1),(148,1),(170,1)}
       163:{1,5,7}:{(149,1),(150,1),(169,1),(171,1)}
       164:{2,6,7}:{(150,1),(151,1),(171,1)}
       165:{4,6,7}:{(153,1),(170,1)}
       166:{1,2,5}:{(154,1),(155,1),(172,1)}
       167:{1,3,6}:{(155,1),(156,1),(158,1),(172,1),(173,1)}
       168:{2,3,7}:{(156,1),(157,1),(159,1),(173,1)}
       169:{1,4,7}:{(158,1),(159,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(165,1)}
       171:{1,6,7}:{(163,1),(164,1)}
       172:{1,2,6}:{(166,1),(167,1),(174,1)}
       173:{1,3,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,2,7}:{(172,1),(173,1)}

1796 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(57,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(57,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(57,1),(64,1),(87,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(44,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(73,1),(115,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(44,1),(117,1),(118,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(48,1),(51,1),(73,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(44,1),(76,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(57,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(86,1),(107,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(60,1),(109,1),(111,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(57,1),(66,1),(87,1),(94,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(63,1),(67,1),(86,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(39,1),(40,1),(120,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(40,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(41,1),(42,1),(47,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(42,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(40,1),(43,1),(44,1),(106,1),(117,1)}
        30:{1,2,4,7}:{(18,1),(41,1),(45,1),(46,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(42,1),(46,1),(47,1),(75,1),(99,1),(101,1)}
        32:{2,3,5}:{(19,1),(20,1),(47,1),(48,1)}
        33:{1,4,5}:{(20,1),(44,1),(48,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(39,1),(50,1),(51,1),(73,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(42,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(44,1),(52,1),(54,1),(106,1)}
        39:{2,3,6,7}:{(25,1),(28,1),(34,1),(55,1),(56,1),(94,1),(113,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(29,1),(56,1),(57,1),(114,1),(121,1)}
        41:{1,2,5,7}:{(27,1),(30,1),(58,1),(62,1)}
        42:{1,3,6}:{(27,1),(28,1),(36,1),(58,1)}
        43:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(56,1),(59,1),(60,1),(70,1),(96,1),(109,1)}
        44:{1,4,6}:{(29,1),(33,1),(57,1),(60,1)}
        45:{1,2,3,7}:{(30,1),(61,1),(107,1)}
        46:{1,2,4,6}:{(30,1),(31,1),(58,1),(61,1),(62,1),(90,1)}
        47:{1,3,5}:{(31,1),(32,1),(62,1),(63,1)}
        48:{2,4,5}:{(32,1),(33,1),(60,1),(63,1),(64,1)}
        49:{1,3,5,6,7}:{(35,1),(65,1),(66,1),(94,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(55,1),(67,1),(86,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(57,1),(66,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(60,1),(68,1),(69,1),(70,1),(96,1)}
        55:{1,3,6,7}:{(39,1),(42,1),(50,1),(71,1),(72,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(43,1),(51,1),(72,1),(73,1),(83,1),(105,1),(115,1)}
        57:{1,4,7}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(47,1),(53,1),(72,1),(74,1),(75,1),(99,1)}
        60:{2,4,6}:{(43,1),(44,1),(48,1),(73,1),(75,1),(76,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(77,1),(99,1)}
        62:{1,2,5}:{(46,1),(47,1)}
        63:{1,4,5}:{(47,1),(48,1),(75,1)}
        64:{3,4,5}:{(48,1),(76,1)}
        65:{2,5,6,7}:{(49,1),(51,1),(80,1),(81,1)}
        66:{1,4,6,7}:{(49,1),(52,1),(81,1),(120,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(73,1),(81,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(75,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(76,1),(83,1)}
        71:{1,2,6,7}:{(55,1),(58,1),(85,1),(113,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(59,1),(67,1),(85,1),(86,1),(107,1)}
        73:{2,4,7}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(62,1),(85,1),(88,1),(96,1)}
        75:{1,4,6}:{(59,1),(60,1),(63,1),(86,1)}
        76:{3,4,6}:{(60,1),(64,1),(70,1),(87,1)}
        77:{1,2,3,5}:{(61,1),(62,1),(90,1),(91,1)}
        78:{1,2,4,5}:{(62,1),(63,1),(88,1),(90,1),(91,1),(92,1)}
        79:{1,3,4,5}:{(63,1),(64,1),(89,1),(91,1),(92,1)}
        80:{1,5,6,7}:{(65,1),(67,1),(93,1)}
        81:{2,4,6,7}:{(65,1),(66,1),(68,1),(93,1),(94,1),(113,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(86,1),(93,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(87,1),(94,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(89,1),(95,1),(96,1)}
        85:{1,2,5,7}:{(71,1),(72,1),(74,1),(97,1),(105,1)}
        86:{1,4,7}:{(72,1),(73,1),(75,1)}
        87:{3,4,7}:{(73,1),(76,1),(83,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(78,1),(97,1),(99,1),(100,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(79,1),(84,1),(98,1),(99,1),(100,1)}
        90:{1,2,4}:{(77,1),(101,1)}
        91:{1,3,5}:{(78,1),(99,1),(101,1),(102,1)}
        92:{2,4,5}:{(79,1),(100,1),(102,1),(103,1)}
        93:{1,4,6,7}:{(80,1),(81,1),(82,1),(104,1)}
        94:{3,6,7}:{(81,1),(83,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(98,1),(104,1),(105,1)}
        96:{2,5,6}:{(84,1),(100,1),(105,1),(106,1)}
        97:{1,2,4,7}:{(85,1),(86,1),(88,1),(107,1),(108,1)}
        98:{1,3,4,7}:{(86,1),(87,1),(89,1),(95,1),(107,1),(108,1)}
        99:{1,3,6}:{(88,1),(91,1),(107,1),(109,1)}
       100:{2,4,6}:{(89,1),(92,1),(96,1),(108,1),(109,1),(110,1)}
       101:{1,3,4}:{(90,1),(91,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(109,1),(111,1),(112,1)}
       103:{1,4,5}:{(92,1),(110,1),(112,1)}
       104:{1,3,6,7}:{(93,1),(94,1),(95,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(108,1),(113,1),(114,1)}
       106:{1,5,6}:{(96,1),(110,1),(114,1)}
       107:{1,3,7}:{(97,1),(99,1),(115,1)}
       108:{2,4,7}:{(98,1),(100,1),(105,1),(115,1),(116,1)}
       109:{2,3,6}:{(99,1),(100,1),(102,1),(115,1),(117,1)}
       110:{1,4,6}:{(100,1),(103,1),(106,1),(116,1),(117,1)}
       111:{2,3,4}:{(101,1),(102,1),(118,1)}
       112:{1,3,5}:{(102,1),(103,1),(117,1),(118,1),(119,1)}
       113:{2,6,7}:{(104,1),(105,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(116,1),(120,1)}
       115:{2,3,7}:{(107,1),(108,1),(109,1),(121,1)}
       116:{1,4,7}:{(108,1),(110,1),(114,1),(121,1)}
       117:{1,3,6}:{(109,1),(110,1),(112,1),(121,1),(122,1)}
       118:{1,3,4}:{(111,1),(112,1),(123,1)}
       119:{1,2,5}:{(112,1),(122,1),(123,1)}
       120:{1,6,7}:{(113,1),(114,1)}
       121:{1,3,7}:{(115,1),(116,1),(117,1),(124,1)}
       122:{1,2,6}:{(117,1),(119,1),(124,1)}
       123:{1,2,4}:{(118,1),(119,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

1797 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1798 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1799 :   0:{1,4,5,6,7}:{(2,1),(3,1),(43,1),(46,1),(108,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(21,1),(38,1),(57,1),(86,1),(152,1),(180,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(25,1),(27,1),(70,1),(134,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(142,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(26,1),(34,1),(68,1),(80,1),(130,1),(142,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(36,1),(82,1),(215,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(18,1),(46,1),(165,1)}
         7:{3,5,6,7}:{(2,1),(14,1),(99,1),(171,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(46,1),(50,1),(99,1)}
         9:{2,5,6,7}:{(3,1),(17,1),(18,1),(179,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(20,1),(53,1),(110,1),(179,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(19,1),(21,1),(152,1)}
        12:{1,4,5,6}:{(5,1),(20,1),(21,1),(112,1),(246,1)}
        13:{1,3,5,6,7}:{(6,1),(7,1),(24,1),(25,1),(201,1)}
        14:{3,4,6,7}:{(7,1),(26,1),(27,1)}
        15:{2,3,5,6,7}:{(7,1),(9,1),(25,1),(27,1),(28,1),(31,1),(64,1),(67,1)}
        16:{2,3,4,6}:{(11,1),(23,1),(29,1),(30,1),(82,1),(137,1),(189,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(75,1)}
        18:{1,5,6,7}:{(9,1),(32,1),(214,1)}
        19:{2,3,5,7}:{(10,1),(11,1),(29,1),(31,1),(34,1),(130,1)}
        20:{1,4,5,7}:{(10,1),(12,1),(32,1),(34,1),(144,1),(214,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(30,1),(34,1),(36,1)}
        22:{1,2,4,5,6}:{(12,1),(35,1),(36,1),(37,1),(73,1),(82,1),(117,1),(143,1),(147,1),(187,1),(213,1),(215,1),(216,1),(254,1),(270,1),(297,1),(303,1)}
        23:{2,3,4,5}:{(16,1),(40,1),(113,1),(157,1),(224,1)}
        24:{1,3,4,6,7}:{(13,1),(14,1),(41,1),(42,1),(46,1),(93,1),(99,1)}
        25:{2,5,6,7}:{(13,1),(42,1),(43,1),(235,1)}
        26:{3,4,5,7}:{(14,1),(38,1),(44,1),(171,1),(286,1)}
        27:{2,4,6,7}:{(14,1),(15,1),(44,1),(46,1)}
        28:{1,3,5,6,7}:{(15,1),(18,1),(43,1),(46,1),(47,1),(50,1),(93,1),(96,1),(99,1)}
        29:{2,3,4,7}:{(16,1),(19,1),(48,1),(110,1),(168,1),(173,1)}
        30:{1,3,4,6}:{(16,1),(21,1),(40,1),(48,1),(49,1),(103,1),(112,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(50,1),(99,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(20,1),(50,1)}
        33:{1,2,5,6,7}:{(18,1),(47,1),(51,1),(52,1),(162,1),(166,1),(179,1),(246,1),(289,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(21,1),(48,1),(50,1),(53,1)}
        35:{1,2,4,5,7}:{(20,1),(22,1),(51,1),(53,1),(54,1),(97,1),(101,1),(108,1),(110,1),(166,1),(179,1),(181,1),(238,1),(244,1),(287,1)}
        36:{2,5,6}:{(21,1),(49,1),(53,1)}
        37:{1,3,5,6}:{(22,1),(54,1),(56,1),(57,1),(103,1),(152,1),(177,1),(245,1),(308,1),(311,1)}
        38:{3,4,5,6}:{(26,1),(59,1),(209,1),(296,1)}
        39:{2,3,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(67,1),(123,1),(145,1),(183,1),(192,1),(205,1),(261,1),(265,1),(297,1),(302,1)}
        40:{1,3,4,5}:{(23,1),(30,1),(62,1),(121,1),(147,1)}
        41:{1,3,4,5,7}:{(24,1),(26,1),(58,1),(63,1),(68,1),(124,1),(130,1),(198,1),(201,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(63,1),(64,1),(65,1),(126,1)}
        43:{1,5,6,7}:{(25,1),(65,1),(263,1)}
        44:{2,4,5,7}:{(26,1),(27,1),(59,1),(67,1),(68,1),(265,1)}
        45:{2,3,4,6,7}:{(27,1),(29,1),(31,1),(60,1),(64,1),(67,1),(69,1),(123,1),(133,1),(141,1),(200,1),(206,1),(265,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(68,1),(70,1)}
        47:{2,5,6,7}:{(28,1),(70,1),(75,1),(126,1),(129,1)}
        48:{1,3,4,7}:{(29,1),(30,1),(34,1),(72,1),(135,1),(144,1)}
        49:{2,4,6}:{(30,1),(36,1),(62,1),(72,1),(74,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(34,1),(75,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(70,1),(75,1),(76,1),(77,1),(141,1),(216,1),(270,1),(303,1)}
        52:{1,3,5,6,7}:{(33,1),(71,1),(76,1),(77,1),(142,1),(199,1),(203,1),(263,1),(269,1)}
        53:{2,5,7}:{(34,1),(36,1),(72,1),(75,1)}
        54:{1,3,5,7}:{(35,1),(37,1),(76,1),(79,1),(80,1),(130,1),(135,1),(302,1)}
        55:{1,2,5,6}:{(36,1),(73,1),(78,1),(81,1),(213,1),(270,1)}
        56:{2,3,5,6}:{(36,1),(37,1),(74,1),(79,1),(81,1),(82,1),(137,1),(139,1),(212,1),(213,1),(215,1),(270,1)}
        57:{1,3,4,6}:{(37,1),(80,1),(82,1),(83,1),(189,1),(254,1),(296,1)}
        58:{1,3,4,5,6}:{(38,1),(41,1),(84,1),(86,1),(149,1),(152,1),(221,1),(236,1)}
        59:{2,4,5,6}:{(38,1),(44,1),(85,1),(86,1),(277,1)}
        60:{2,3,4,6}:{(39,1),(85,1),(87,1),(182,1),(225,1),(240,1),(277,1),(284,1),(311,1)}
        61:{1,3,4,5,7}:{(39,1),(40,1),(48,1),(87,1),(88,1),(96,1),(155,1),(159,1),(168,1),(181,1),(217,1),(224,1),(238,1),(278,1),(283,1)}
        62:{2,4,5}:{(40,1),(49,1),(90,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(84,1),(91,1),(92,1),(160,1),(232,1),(235,1)}
        64:{2,3,6,7}:{(42,1),(91,1),(93,1),(99,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,2,5,6,7}:{(43,1),(47,1),(94,1),(95,1),(105,1),(166,1),(235,1),(285,1),(289,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(85,1),(96,1),(171,1),(179,1),(235,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(96,1),(97,1),(238,1)}
        69:{1,3,4,6,7}:{(45,1),(46,1),(48,1),(50,1),(87,1),(93,1),(96,1),(98,1),(99,1),(159,1),(168,1),(169,1),(178,1),(234,1),(238,1)}
        70:{2,4,6,7}:{(46,1),(47,1),(97,1),(99,1)}
        71:{2,3,5,6,7}:{(47,1),(52,1),(95,1),(99,1),(100,1),(106,1),(163,1),(167,1),(171,1),(179,1),(235,1),(237,1),(243,1),(289,1),(311,1)}
        72:{2,4,7}:{(48,1),(49,1),(53,1),(102,1)}
        73:{1,2,4,6}:{(49,1),(55,1),(89,1),(101,1),(103,1),(112,1),(176,1)}
        74:{2,3,6}:{(49,1),(90,1),(102,1),(103,1)}
        75:{2,6,7}:{(50,1),(53,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(99,1),(106,1),(245,1),(311,1)}
        77:{1,4,6,7}:{(52,1),(100,1),(108,1),(238,1),(288,1)}
        78:{1,2,5,7}:{(53,1),(55,1),(101,1),(105,1),(109,1),(244,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(109,1),(110,1),(173,1),(179,1),(244,1)}
        80:{1,3,4,7}:{(54,1),(57,1),(110,1),(168,1),(238,1),(286,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(103,1),(109,1),(112,1),(177,1),(245,1),(246,1)}
        82:{2,4,6}:{(56,1),(57,1),(110,1),(112,1),(113,1)}
        83:{1,3,4,5}:{(57,1),(113,1),(177,1),(224,1),(278,1),(308,1)}
        84:{2,4,5,6}:{(58,1),(63,1),(114,1),(115,1),(185,1),(251,1),(264,1)}
        85:{2,3,5,6}:{(59,1),(60,1),(67,1),(116,1),(209,1),(215,1),(264,1)}
        86:{1,4,5,6}:{(59,1),(68,1),(116,1),(117,1),(254,1)}
        87:{1,3,4,6}:{(60,1),(61,1),(116,1),(118,1),(189,1),(190,1),(216,1),(254,1),(301,1)}
        88:{2,4,5,7}:{(61,1),(62,1),(72,1),(118,1),(120,1),(129,1),(195,1),(204,1),(247,1),(255,1)}
        89:{1,2,4,5}:{(62,1),(73,1),(121,1),(147,1),(194,1),(213,1)}
        90:{2,3,5}:{(62,1),(74,1),(121,1),(122,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(114,1),(123,1),(124,1),(130,1)}
        92:{1,4,5,7}:{(63,1),(65,1),(115,1),(124,1),(260,1),(263,1)}
        93:{1,3,6,7}:{(64,1),(65,1),(124,1),(126,1)}
        94:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(125,1),(126,1),(127,1),(128,1),(200,1),(301,1),(303,1),(314,1)}
        95:{1,3,5,6,7}:{(66,1),(71,1),(127,1),(128,1),(140,1),(201,1),(203,1),(214,1),(269,1)}
        96:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(129,1),(130,1),(214,1),(263,1)}
        97:{2,4,5,7}:{(68,1),(70,1),(117,1),(129,1),(130,1),(204,1)}
        98:{2,4,6,7}:{(69,1),(72,1),(75,1),(118,1),(126,1),(129,1),(132,1),(195,1),(204,1)}
        99:{3,6,7}:{(70,1),(130,1)}
       100:{2,4,6,7}:{(71,1),(77,1),(128,1),(133,1),(134,1),(204,1),(265,1),(267,1),(303,1)}
       101:{1,2,4,7}:{(72,1),(73,1),(78,1),(135,1),(144,1),(210,1)}
       102:{2,3,7}:{(72,1),(74,1),(135,1)}
       103:{1,3,6}:{(73,1),(74,1),(121,1),(135,1),(137,1)}
       104:{2,3,4,6}:{(74,1),(82,1),(122,1),(136,1),(138,1),(139,1),(212,1),(296,1)}
       105:{1,2,6,7}:{(75,1),(78,1),(140,1),(270,1)}
       106:{2,3,6,7}:{(75,1),(76,1),(79,1),(140,1),(141,1),(212,1),(270,1)}
       107:{1,3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(141,1),(142,1),(146,1)}
       108:{1,4,5,7}:{(77,1),(134,1),(142,1),(143,1),(263,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(81,1),(135,1),(140,1),(144,1),(214,1)}
       110:{2,4,7}:{(79,1),(80,1),(82,1),(144,1)}
       111:{1,3,4,5,7}:{(80,1),(83,1),(142,1),(145,1),(146,1),(205,1),(211,1),(266,1),(302,1)}
       112:{1,4,6}:{(81,1),(82,1),(144,1),(147,1)}
       113:{2,4,5}:{(82,1),(83,1),(139,1),(147,1),(213,1)}
       114:{2,3,5,6}:{(84,1),(91,1),(148,1),(149,1),(152,1)}
       115:{1,4,5,6}:{(84,1),(92,1),(149,1),(275,1),(285,1)}
       116:{1,3,5,6}:{(85,1),(86,1),(87,1),(96,1),(151,1),(152,1),(246,1),(285,1)}
       117:{2,4,5,6}:{(86,1),(97,1),(151,1),(152,1),(223,1)}
       118:{2,4,6}:{(87,1),(88,1),(151,1),(154,1)}
       119:{1,2,4,5,7}:{(88,1),(89,1),(101,1),(153,1),(155,1),(166,1),(181,1),(228,1),(229,1),(238,1),(244,1),(271,1),(278,1),(279,1),(283,1),(287,1),(309,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(102,1),(154,1),(155,1),(156,1),(227,1),(230,1),(272,1)}
       121:{1,3,5}:{(89,1),(90,1),(103,1),(157,1),(158,1)}
       122:{2,3,4}:{(90,1),(158,1)}
       123:{2,3,4,7}:{(91,1),(148,1),(159,1),(168,1),(232,1),(280,1)}
       124:{1,3,5,7}:{(91,1),(92,1),(93,1),(149,1),(159,1),(160,1)}
       125:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(150,1),(160,1),(161,1),(165,1),(166,1),(229,1),(232,1),(235,1),(238,1),(283,1),(287,1),(309,1)}
       126:{2,6,7}:{(93,1),(160,1)}
       127:{1,3,6,7}:{(94,1),(99,1),(161,1),(163,1),(310,1),(311,1)}
       128:{1,4,6,7}:{(95,1),(100,1),(165,1),(238,1),(288,1)}
       129:{2,5,7}:{(96,1),(98,1),(151,1)}
       130:{3,5,7}:{(97,1),(99,1),(152,1),(168,1)}
       131:{1,2,4,6,7}:{(98,1),(101,1),(105,1),(153,1),(162,1),(166,1),(169,1),(178,1),(229,1),(234,1),(238,1),(241,1)}
       132:{2,3,6,7}:{(98,1),(99,1),(102,1),(154,1),(167,1),(169,1),(230,1)}
       133:{3,4,6,7}:{(99,1),(100,1),(168,1),(171,1),(240,1),(286,1),(311,1)}
       134:{2,4,5,7}:{(100,1),(108,1),(165,1),(171,1),(172,1),(179,1),(235,1)}
       135:{1,3,7}:{(101,1),(102,1),(103,1),(173,1)}
       136:{2,3,4,7}:{(102,1),(104,1),(110,1),(174,1),(175,1),(286,1)}
       137:{2,3,6}:{(103,1),(157,1),(173,1),(176,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(112,1),(158,1),(174,1),(176,1),(177,1),(245,1)}
       139:{2,3,5}:{(104,1),(113,1),(177,1),(308,1)}
       140:{1,3,6,7}:{(105,1),(106,1),(109,1),(178,1),(245,1)}
       141:{2,4,6,7}:{(106,1),(107,1),(110,1),(178,1),(179,1),(182,1)}
       142:{1,3,5,7}:{(107,1),(108,1),(171,1),(179,1),(180,1)}
       143:{1,4,5,6}:{(108,1),(172,1),(180,1),(285,1),(288,1)}
       144:{1,4,7}:{(109,1),(110,1),(112,1)}
       145:{2,4,5,7}:{(110,1),(111,1),(113,1),(175,1),(179,1),(181,1),(182,1),(244,1)}
       146:{1,3,4,6}:{(111,1),(180,1),(182,1),(240,1),(245,1),(288,1),(311,1)}
       147:{1,4,5}:{(112,1),(113,1),(177,1)}
       148:{2,3,4,6}:{(114,1),(123,1),(183,1),(184,1),(189,1),(251,1),(292,1)}
       149:{1,3,5,6}:{(114,1),(115,1),(124,1),(184,1),(185,1)}
       150:{1,2,4,5,6}:{(115,1),(117,1),(125,1),(185,1),(186,1),(187,1),(202,1),(248,1),(251,1),(254,1),(264,1),(295,1),(297,1),(301,1),(303,1),(313,1),(314,1)}
       151:{2,5,6}:{(116,1),(118,1),(129,1)}
       152:{3,5,6}:{(117,1),(130,1),(189,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(187,1),(190,1),(216,1),(254,1),(256,1),(270,1),(301,1),(303,1),(314,1)}
       154:{2,3,6}:{(118,1),(120,1),(190,1)}
       155:{1,3,5,7}:{(119,1),(120,1),(121,1),(135,1),(190,1),(192,1),(193,1),(257,1),(258,1),(290,1),(302,1)}
       156:{2,3,4,7}:{(120,1),(122,1),(191,1),(193,1),(204,1),(291,1)}
       157:{2,3,5}:{(121,1),(137,1),(194,1),(213,1)}
       158:{1,3,4}:{(121,1),(122,1),(194,1)}
       159:{1,3,4,7}:{(123,1),(124,1),(184,1),(195,1),(258,1),(260,1)}
       160:{2,5,7}:{(124,1),(126,1),(185,1),(195,1)}
       161:{1,3,5,7}:{(125,1),(127,1),(130,1),(186,1),(197,1),(198,1),(258,1),(302,1)}
       162:{1,2,6,7}:{(126,1),(196,1),(199,1),(314,1)}
       163:{2,3,6,7}:{(126,1),(127,1),(197,1),(199,1),(200,1),(300,1),(314,1)}
       164:{1,3,4,6,7}:{(127,1),(128,1),(133,1),(198,1),(200,1),(201,1),(262,1)}
       165:{1,4,5,7}:{(128,1),(134,1),(201,1),(202,1),(214,1)}
       166:{1,2,5,7}:{(129,1),(131,1),(187,1),(203,1),(214,1),(263,1),(268,1)}
       167:{2,3,5,7}:{(129,1),(130,1),(132,1),(188,1),(203,1),(204,1)}
       168:{3,4,7}:{(130,1),(189,1),(204,1)}
       169:{1,3,6,7}:{(131,1),(132,1),(135,1),(190,1),(203,1),(206,1),(258,1)}
       170:{2,3,4,6,7}:{(132,1),(133,1),(136,1),(141,1),(191,1),(200,1),(204,1),(207,1),(208,1),(212,1),(259,1),(267,1),(300,1)}
       171:{3,5,7}:{(133,1),(134,1),(209,1)}
       172:{2,4,5,6}:{(134,1),(143,1),(202,1),(209,1),(215,1),(264,1),(267,1),(303,1)}
       173:{2,3,7}:{(135,1),(137,1),(210,1)}
       174:{1,3,4,7}:{(135,1),(136,1),(138,1),(144,1),(210,1),(211,1)}
       175:{2,3,5,7}:{(136,1),(139,1),(145,1),(211,1),(212,1),(302,1)}
       176:{2,4,6}:{(137,1),(138,1),(194,1),(210,1),(213,1),(270,1)}
       177:{1,3,5}:{(138,1),(139,1),(147,1),(213,1)}
       178:{1,4,6,7}:{(140,1),(141,1),(144,1),(214,1),(216,1)}
       179:{2,5,7}:{(141,1),(142,1),(214,1),(215,1)}
       180:{1,3,5,6}:{(142,1),(143,1),(146,1),(209,1),(215,1)}
       181:{1,4,5,7}:{(144,1),(145,1),(147,1),(211,1),(214,1),(216,1)}
       182:{2,4,6}:{(145,1),(146,1),(212,1),(215,1),(216,1),(270,1)}
       183:{2,3,4,5}:{(148,1),(217,1),(224,1),(276,1),(304,1)}
       184:{1,3,4,6}:{(148,1),(149,1),(159,1),(217,1),(218,1),(273,1),(275,1)}
       185:{2,5,6}:{(149,1),(160,1),(218,1)}
       186:{1,3,5,6}:{(150,1),(152,1),(161,1),(220,1),(221,1),(273,1),(307,1),(308,1),(310,1),(311,1)}
       187:{1,2,5,6}:{(151,1),(153,1),(166,1),(222,1),(246,1),(279,1),(285,1),(289,1)}
       188:{2,3,5,6}:{(151,1),(152,1),(154,1),(167,1),(222,1),(223,1),(227,1)}
       189:{3,4,6}:{(152,1),(168,1),(223,1),(224,1)}
       190:{1,3,6}:{(153,1),(154,1),(155,1),(225,1),(311,1)}
       191:{2,3,4,6}:{(154,1),(156,1),(223,1),(226,1),(227,1)}
       192:{2,3,5,7}:{(155,1),(157,1),(173,1),(225,1),(228,1),(244,1),(279,1),(280,1),(304,1),(309,1)}
       193:{1,3,4,7}:{(155,1),(156,1),(158,1),(226,1),(228,1),(238,1),(286,1),(305,1)}
       194:{2,4}:{(157,1),(158,1)}
       195:{2,4,7}:{(159,1),(160,1),(218,1),(230,1)}
       196:{1,2,5,7}:{(160,1),(162,1),(219,1),(229,1),(231,1),(309,1)}
       197:{2,3,5,7}:{(160,1),(161,1),(163,1),(220,1),(230,1),(231,1),(232,1),(235,1),(280,1),(309,1)}
       198:{1,3,4,7}:{(161,1),(168,1),(221,1),(232,1),(238,1),(286,1)}
       199:{1,3,6,7}:{(162,1),(163,1),(231,1),(234,1),(310,1)}
       200:{2,4,6,7}:{(163,1),(164,1),(232,1),(234,1),(235,1),(284,1)}
       201:{1,3,5,7}:{(164,1),(165,1),(171,1),(235,1),(236,1)}
       202:{1,4,5,6}:{(165,1),(172,1),(236,1),(246,1),(288,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(237,1),(238,1)}
       204:{2,4,7}:{(167,1),(168,1),(223,1),(238,1)}
       205:{3,4,5,7}:{(168,1),(171,1),(224,1),(239,1),(240,1)}
       206:{2,3,6,7}:{(169,1),(173,1),(225,1),(237,1),(241,1),(280,1),(311,1)}
       207:{1,3,4,6,7}:{(169,1),(170,1),(174,1),(178,1),(226,1),(234,1),(238,1),(241,1),(242,1),(245,1),(281,1),(286,1),(288,1),(310,1),(311,1)}
       208:{2,3,5,7}:{(170,1),(171,1),(179,1),(227,1),(235,1),(239,1),(242,1),(243,1)}
       209:{3,5,6}:{(171,1),(172,1),(240,1),(311,1)}
       210:{2,4,7}:{(173,1),(174,1),(176,1),(244,1)}
       211:{1,3,5,7}:{(174,1),(175,1),(177,1),(181,1),(244,1),(245,1)}
       212:{2,3,6}:{(175,1),(182,1),(245,1),(311,1)}
       213:{2,5}:{(176,1),(177,1)}
       214:{1,5,7}:{(178,1),(179,1),(246,1)}
       215:{2,5,6}:{(179,1),(180,1),(182,1),(246,1)}
       216:{1,4,6}:{(181,1),(182,1),(245,1),(246,1)}
       217:{1,3,4,5}:{(183,1),(184,1),(247,1),(290,1),(295,1)}
       218:{2,4,6}:{(184,1),(185,1),(195,1),(247,1),(249,1)}
       219:{1,2,5,6}:{(185,1),(196,1),(248,1),(250,1),(313,1),(314,1)}
       220:{2,3,5,6}:{(185,1),(186,1),(197,1),(249,1),(250,1),(251,1),(264,1),(292,1),(294,1),(300,1),(313,1),(314,1)}
       221:{1,3,4,6}:{(186,1),(189,1),(198,1),(251,1),(252,1),(254,1),(296,1)}
       222:{1,3,5,6}:{(187,1),(188,1),(190,1),(203,1),(253,1),(254,1),(257,1)}
       223:{2,4,6}:{(188,1),(189,1),(204,1),(254,1),(255,1)}
       224:{3,4,5}:{(189,1),(255,1)}
       225:{2,3,6}:{(190,1),(192,1),(256,1),(270,1),(314,1)}
       226:{1,3,4,6}:{(190,1),(191,1),(193,1),(254,1),(256,1),(257,1),(296,1)}
       227:{2,3,5}:{(191,1),(255,1),(257,1)}
       228:{2,4,7}:{(192,1),(193,1),(194,1),(256,1),(312,1)}
       229:{1,2,4,7}:{(195,1),(196,1),(248,1),(258,1),(260,1),(298,1)}
       230:{2,3,7}:{(195,1),(249,1),(258,1)}
       231:{1,3,5,7}:{(196,1),(197,1),(199,1),(250,1),(258,1),(260,1),(263,1)}
       232:{2,4,7}:{(197,1),(198,1),(251,1),(260,1)}
       233:{1,3,4,5,7}:{(198,1),(201,1),(205,1),(252,1),(261,1),(262,1),(266,1),(299,1),(302,1)}
       234:{1,4,6,7}:{(199,1),(200,1),(260,1),(263,1),(301,1)}
       235:{2,5,7}:{(200,1),(201,1),(263,1),(264,1)}
       236:{1,3,5,6}:{(201,1),(202,1),(209,1),(262,1),(264,1)}
       237:{2,3,5,7}:{(203,1),(206,1),(253,1),(265,1),(268,1),(302,1)}
       238:{1,4,7}:{(203,1),(204,1),(254,1),(265,1)}
       239:{2,4,5,7}:{(204,1),(205,1),(208,1),(255,1),(266,1),(267,1)}
       240:{3,4,6}:{(205,1),(209,1),(267,1)}
       241:{2,4,6,7}:{(206,1),(207,1),(210,1),(256,1),(265,1),(268,1),(270,1),(298,1),(303,1),(314,1)}
       242:{1,3,5,7}:{(207,1),(208,1),(214,1),(257,1),(263,1),(266,1),(268,1),(269,1),(302,1)}
       243:{2,3,5,6}:{(208,1),(209,1),(212,1),(215,1),(264,1),(267,1),(269,1),(300,1)}
       244:{2,5,7}:{(210,1),(211,1),(213,1),(270,1)}
       245:{1,3,6}:{(211,1),(212,1),(216,1),(270,1)}
       246:{1,5,6}:{(214,1),(215,1),(216,1)}
       247:{2,4,5}:{(217,1),(218,1),(272,1)}
       248:{1,2,4,6}:{(218,1),(219,1),(229,1),(271,1),(273,1),(275,1),(306,1)}
       249:{2,3,6}:{(218,1),(230,1),(272,1),(273,1)}
       250:{1,3,5,6}:{(219,1),(220,1),(231,1),(273,1),(275,1),(285,1),(307,1),(310,1)}
       251:{2,4,6}:{(220,1),(221,1),(232,1),(275,1),(276,1)}
       252:{1,3,4,5}:{(221,1),(224,1),(276,1),(278,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(222,1),(225,1),(237,1),(277,1),(279,1),(289,1),(308,1),(311,1)}
       254:{1,4,6}:{(222,1),(223,1),(238,1),(277,1),(278,1)}
       255:{2,4,5}:{(223,1),(224,1),(227,1),(278,1)}
       256:{2,4,6}:{(225,1),(226,1),(228,1),(279,1)}
       257:{1,3,5}:{(226,1),(227,1),(278,1),(279,1),(308,1)}
       258:{1,3,7}:{(229,1),(230,1),(273,1),(280,1)}
       259:{2,3,4,7}:{(230,1),(232,1),(274,1),(281,1),(282,1),(286,1)}
       260:{1,4,7}:{(231,1),(232,1),(275,1)}
       261:{2,4,5,7}:{(232,1),(233,1),(235,1),(276,1),(282,1),(283,1),(284,1),(309,1)}
       262:{1,3,4,6}:{(233,1),(236,1),(240,1),(284,1),(288,1),(310,1),(311,1)}
       263:{1,5,7}:{(234,1),(235,1),(285,1)}
       264:{2,5,6}:{(235,1),(236,1),(284,1),(285,1)}
       265:{2,4,7}:{(237,1),(238,1),(277,1),(286,1)}
       266:{1,4,5,7}:{(238,1),(239,1),(242,1),(278,1),(287,1),(288,1)}
       267:{2,4,6}:{(239,1),(240,1),(243,1),(288,1)}
       268:{2,5,7}:{(241,1),(242,1),(279,1),(289,1)}
       269:{1,3,5,6}:{(242,1),(243,1),(245,1),(246,1),(285,1),(288,1),(289,1),(310,1),(311,1)}
       270:{2,6}:{(244,1),(245,1)}
       271:{1,2,4,5}:{(247,1),(248,1),(290,1),(295,1),(312,1),(313,1)}
       272:{2,3,5}:{(247,1),(249,1),(290,1),(291,1)}
       273:{1,3,6}:{(248,1),(249,1),(258,1),(290,1),(292,1)}
       274:{2,3,4,6}:{(249,1),(251,1),(259,1),(291,1),(293,1),(294,1),(296,1),(300,1)}
       275:{1,4,6}:{(250,1),(251,1),(260,1),(295,1)}
       276:{2,4,5}:{(251,1),(252,1),(294,1),(295,1),(313,1)}
       277:{2,4,6}:{(253,1),(254,1),(265,1),(296,1),(297,1)}
       278:{1,4,5}:{(254,1),(255,1),(257,1),(297,1)}
       279:{2,5}:{(256,1),(257,1)}
       280:{2,3,7}:{(258,1),(292,1),(298,1)}
       281:{1,3,4,7}:{(258,1),(259,1),(260,1),(293,1),(298,1),(299,1)}
       282:{2,3,5,7}:{(259,1),(261,1),(294,1),(299,1),(300,1),(302,1)}
       283:{1,4,5,7}:{(260,1),(261,1),(263,1),(295,1),(299,1),(301,1)}
       284:{2,4,6}:{(261,1),(262,1),(264,1),(300,1),(301,1),(314,1)}
       285:{1,5,6}:{(263,1),(264,1),(301,1)}
       286:{3,4,7}:{(265,1),(296,1),(302,1)}
       287:{2,4,5,7}:{(265,1),(266,1),(268,1),(297,1),(302,1),(303,1)}
       288:{1,4,6}:{(266,1),(267,1),(269,1),(303,1)}
       289:{2,5,6}:{(268,1),(269,1),(270,1),(303,1),(314,1)}
       290:{1,3,5}:{(271,1),(272,1),(273,1),(304,1),(305,1)}
       291:{2,3,4}:{(272,1),(305,1)}
       292:{2,3,6}:{(273,1),(280,1),(304,1),(306,1)}
       293:{1,3,4,6}:{(273,1),(274,1),(275,1),(281,1),(305,1),(306,1),(307,1),(310,1)}
       294:{2,3,5}:{(274,1),(276,1),(307,1),(308,1)}
       295:{1,4,5}:{(275,1),(276,1),(307,1)}
       296:{3,4,6}:{(277,1),(286,1),(308,1),(311,1)}
       297:{2,4,5}:{(277,1),(278,1),(279,1),(308,1)}
       298:{2,4,7}:{(280,1),(281,1),(306,1),(309,1)}
       299:{1,3,5,7}:{(281,1),(282,1),(283,1),(307,1),(309,1),(310,1)}
       300:{2,3,6}:{(282,1),(284,1),(310,1),(311,1)}
       301:{1,4,6}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5,7}:{(286,1),(287,1),(308,1),(311,1)}
       303:{2,4,6}:{(287,1),(288,1),(289,1),(311,1)}
       304:{2,3,5}:{(290,1),(292,1),(312,1),(313,1)}
       305:{1,3,4}:{(290,1),(291,1),(312,1)}
       306:{2,4,6}:{(292,1),(293,1),(298,1),(312,1),(313,1),(314,1)}
       307:{1,3,5}:{(293,1),(294,1),(295,1),(313,1)}
       308:{3,5}:{(296,1),(297,1)}
       309:{2,5,7}:{(298,1),(299,1),(313,1),(314,1)}
       310:{1,3,6}:{(299,1),(300,1),(301,1),(314,1)}
       311:{3,6}:{(302,1),(303,1)}
       312:{2,4}:{(304,1),(305,1)}
       313:{2,5}:{(306,1),(307,1)}
       314:{2,6}:{(309,1),(310,1)}

1800 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(18,1),(116,1),(118,1),(196,1),(197,1),(200,1),(210,1),(271,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(9,1),(27,1),(33,1),(93,1),(95,1),(147,1),(149,1),(156,1),(158,1),(241,1),(244,1),(253,1),(308,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(8,1),(30,1),(83,1),(239,1),(252,1),(307,1)}
         3:{1,2,4,5,7}:{(5,1),(9,1),(10,1),(11,1),(41,1),(44,1),(93,1),(95,1),(308,1),(309,1),(312,1),(361,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(44,1),(361,1),(362,1),(363,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(55,1),(116,1),(118,1),(282,1),(286,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(17,1),(21,1),(49,1),(65,1),(111,1),(119,1),(292,1),(340,1)}
         7:{2,3,4,6,7}:{(2,1),(16,1),(18,1),(53,1),(60,1),(118,1),(199,1),(200,1),(203,1),(213,1),(274,1)}
         8:{2,3,5,6}:{(2,1),(17,1),(18,1),(19,1),(279,1),(291,1),(339,1)}
         9:{1,3,5,7}:{(3,1),(14,1),(20,1),(21,1),(63,1),(342,1),(345,1)}
        10:{1,2,4,6}:{(3,1),(15,1),(21,1),(23,1),(65,1),(340,1),(381,1)}
        11:{1,2,4,7}:{(4,1),(20,1),(24,1),(383,1)}
        12:{1,2,3,6}:{(4,1),(21,1),(24,1),(381,1)}
        13:{1,2,4,5,7}:{(5,1),(27,1),(28,1),(73,1),(78,1),(143,1),(147,1),(149,1),(253,1),(254,1),(257,1),(261,1)}
        14:{2,3,5,7}:{(5,1),(9,1),(27,1),(29,1),(30,1),(81,1),(319,1),(323,1)}
        15:{2,4,6}:{(5,1),(6,1),(30,1),(32,1)}
        16:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(33,1),(39,1),(76,1),(87,1),(95,1),(149,1),(158,1),(161,1),(244,1),(248,1),(256,1),(311,1)}
        17:{1,3,5,6}:{(6,1),(8,1),(32,1),(33,1),(34,1),(86,1),(326,1),(364,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(33,1),(36,1),(242,1),(255,1),(310,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(36,1),(37,1),(83,1)}
        20:{1,3,4,7}:{(9,1),(11,1),(29,1),(38,1),(95,1),(367,1)}
        21:{1,3,6}:{(9,1),(10,1),(30,1)}
        22:{1,2,4,6,7}:{(10,1),(31,1),(39,1),(41,1),(95,1),(311,1),(312,1),(314,1)}
        23:{1,2,5,6}:{(10,1),(32,1),(40,1),(41,1),(44,1),(364,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(38,1),(44,1)}
        25:{1,2,3,6,7}:{(12,1),(39,1),(43,1),(45,1),(174,1),(177,1),(314,1),(363,1),(369,1),(395,1)}
        26:{1,2,3,5,6}:{(12,1),(40,1),(44,1),(45,1),(46,1),(99,1),(100,1),(102,1),(177,1),(237,1),(313,1),(362,1),(395,1),(397,1),(410,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(48,1),(49,1),(109,1),(294,1),(297,1)}
        28:{1,2,4,6}:{(13,1),(15,1),(49,1),(51,1),(111,1),(292,1),(298,1)}
        29:{2,3,4,7}:{(14,1),(20,1),(48,1),(52,1),(118,1),(350,1)}
        30:{2,3,6}:{(14,1),(15,1),(21,1),(49,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(53,1),(55,1),(118,1),(286,1),(290,1)}
        32:{2,5,6}:{(15,1),(17,1),(55,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(18,1),(55,1),(58,1),(121,1),(295,1),(343,1)}
        34:{1,4,5,6}:{(17,1),(19,1),(56,1),(58,1),(65,1),(111,1)}
        35:{2,3,5,6,7}:{(18,1),(57,1),(60,1),(127,1),(203,1),(206,1)}
        36:{2,4,5,7}:{(18,1),(19,1),(58,1),(60,1),(61,1),(118,1)}
        37:{3,4,5,6}:{(19,1),(61,1),(119,1),(279,1)}
        38:{1,3,4,6}:{(20,1),(21,1),(24,1),(52,1),(63,1),(65,1)}
        39:{1,3,6,7}:{(21,1),(22,1),(53,1),(64,1),(345,1)}
        40:{1,3,5,6}:{(21,1),(23,1),(54,1),(63,1),(64,1),(65,1)}
        41:{1,2,5,7}:{(22,1),(23,1),(55,1),(64,1),(343,1)}
        42:{1,2,4,5,6}:{(23,1),(56,1),(65,1),(67,1),(68,1),(70,1),(126,1),(133,1),(137,1),(205,1),(208,1),(276,1),(291,1),(384,1),(388,1),(406,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(62,1),(69,1),(71,1),(137,1),(213,1),(337,1),(381,1),(405,1)}
        44:{1,2,5}:{(24,1),(63,1)}
        45:{1,2,3,5,7}:{(25,1),(26,1),(64,1),(69,1),(71,1),(135,1),(138,1),(278,1),(345,1),(387,1)}
        46:{1,2,4,6}:{(26,1),(65,1),(70,1),(71,1),(72,1),(133,1),(383,1),(406,1)}
        47:{1,2,3,5,7}:{(27,1),(73,1),(74,1),(143,1),(261,1),(262,1),(263,1)}
        48:{1,3,4,7}:{(27,1),(29,1),(73,1),(75,1),(149,1),(329,1)}
        49:{1,3,6}:{(27,1),(28,1),(30,1)}
        50:{1,2,4,6,7}:{(28,1),(31,1),(76,1),(78,1),(149,1),(256,1),(257,1),(259,1)}
        51:{1,2,5,6}:{(28,1),(32,1),(77,1),(78,1),(143,1),(326,1)}
        52:{2,3,4,6}:{(29,1),(30,1),(38,1),(75,1),(81,1),(83,1)}
        53:{2,3,6,7}:{(30,1),(31,1),(39,1),(76,1),(82,1),(161,1),(323,1)}
        54:{2,3,5,6}:{(30,1),(32,1),(40,1),(77,1),(81,1),(82,1),(83,1),(86,1)}
        55:{2,5,7}:{(31,1),(32,1),(33,1)}
        56:{2,4,5,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,3,5,6,7}:{(33,1),(35,1),(84,1),(87,1),(161,1),(248,1),(250,1)}
        58:{1,4,5,7}:{(33,1),(34,1),(36,1),(85,1),(87,1),(95,1),(149,1)}
        59:{1,3,4,5,6}:{(34,1),(37,1),(86,1),(88,1),(89,1),(96,1),(150,1),(163,1),(251,1),(306,1),(315,1),(370,1),(400,1)}
        60:{2,4,6,7}:{(35,1),(36,1),(87,1),(91,1)}
        61:{3,4,5,7}:{(36,1),(37,1),(91,1),(158,1),(242,1)}
        62:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(80,1),(92,1),(95,1),(103,1),(167,1),(177,1),(304,1),(311,1),(360,1),(369,1),(398,1),(399,1)}
        63:{1,3,5}:{(38,1),(44,1),(81,1),(93,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(82,1),(95,1)}
        65:{1,4,6}:{(40,1),(83,1),(93,1),(95,1)}
        66:{1,2,5,6,7}:{(41,1),(84,1),(94,1),(97,1),(100,1),(250,1),(255,1),(314,1),(325,1),(368,1)}
        67:{1,2,4,5,7}:{(41,1),(42,1),(85,1),(95,1),(97,1),(98,1),(166,1),(170,1),(172,1),(249,1),(255,1),(312,1),(368,1),(374,1),(399,1)}
        68:{1,3,5,6}:{(42,1),(86,1),(96,1),(98,1),(99,1),(102,1),(177,1),(313,1),(400,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(92,1),(100,1),(255,1),(410,1)}
        70:{1,2,4,5}:{(44,1),(46,1),(93,1),(102,1),(169,1),(410,1),(411,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(95,1),(103,1),(172,1),(399,1)}
        72:{1,3,4,6}:{(46,1),(102,1),(103,1),(104,1),(177,1),(313,1),(367,1)}
        73:{1,2,4,7}:{(47,1),(48,1),(105,1),(300,1)}
        74:{1,2,3,6}:{(47,1),(49,1),(105,1),(298,1)}
        75:{1,3,4,6}:{(48,1),(49,1),(52,1),(105,1),(109,1),(111,1)}
        76:{1,3,6,7}:{(49,1),(50,1),(53,1),(110,1),(297,1)}
        77:{1,3,5,6}:{(49,1),(51,1),(54,1),(109,1),(110,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(55,1),(110,1),(295,1)}
        79:{1,2,4,5,6}:{(51,1),(56,1),(111,1),(113,1),(114,1),(126,1),(183,1),(191,1),(205,1),(215,1),(264,1),(269,1),(339,1),(355,1),(388,1),(393,1)}
        80:{2,3,4,6,7}:{(52,1),(53,1),(62,1),(108,1),(115,1),(118,1),(140,1),(195,1),(199,1),(213,1),(218,1),(267,1),(274,1),(334,1),(353,1),(390,1),(392,1)}
        81:{2,3,5}:{(52,1),(63,1),(109,1),(116,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(55,1),(64,1),(110,1),(118,1),(121,1)}
        83:{2,4,6}:{(54,1),(65,1),(111,1),(116,1),(118,1),(119,1)}
        84:{2,5,6,7}:{(55,1),(57,1),(120,1),(290,1)}
        85:{2,4,5,7}:{(55,1),(56,1),(58,1),(118,1),(120,1),(121,1)}
        86:{3,5,6}:{(56,1),(119,1),(121,1)}
        87:{1,4,6,7}:{(57,1),(58,1),(60,1),(120,1)}
        88:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(121,1),(124,1),(125,1),(132,1),(190,1),(204,1),(212,1),(273,1),(283,1),(351,1),(391,1)}
        89:{2,4,5,6}:{(59,1),(122,1),(125,1),(126,1),(133,1),(191,1),(205,1),(291,1),(339,1)}
        90:{2,4,5,6,7}:{(60,1),(123,1),(127,1),(198,1),(206,1),(354,1)}
        91:{3,4,6,7}:{(60,1),(61,1),(127,1)}
        92:{1,3,5,7}:{(62,1),(63,1),(69,1),(115,1),(128,1),(129,1),(343,1),(407,1)}
        93:{1,4,5}:{(63,1),(65,1),(116,1)}
        94:{1,3,5,6,7}:{(64,1),(66,1),(117,1),(128,1),(131,1),(134,1),(212,1),(277,1),(343,1),(387,1)}
        95:{1,4,7}:{(64,1),(65,1),(118,1)}
        96:{1,3,4,6}:{(65,1),(68,1),(119,1),(130,1),(132,1),(133,1),(406,1),(408,1)}
        97:{1,2,4,6,7}:{(66,1),(67,1),(120,1),(131,1),(134,1),(137,1),(207,1),(213,1),(290,1),(354,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(121,1),(132,1),(134,1),(135,1),(345,1),(391,1)}
        99:{2,3,5,6}:{(68,1),(133,1),(135,1),(136,1),(139,1),(205,1),(218,1),(287,1),(291,1)}
       100:{1,2,5,6}:{(69,1),(128,1),(137,1),(291,1),(381,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(129,1),(137,1),(138,1),(210,1)}
       102:{1,3,5}:{(70,1),(72,1),(139,1)}
       103:{1,3,4,7}:{(71,1),(72,1),(138,1),(140,1),(345,1)}
       104:{2,3,4,6}:{(72,1),(133,1),(139,1),(140,1),(141,1),(218,1),(287,1),(350,1)}
       105:{1,2,4,6}:{(73,1),(74,1),(75,1),(143,1)}
       106:{1,2,3,6,7}:{(74,1),(76,1),(142,1),(144,1),(235,1),(259,1),(263,1),(301,1),(331,1),(332,1)}
       107:{1,2,3,5,6}:{(74,1),(77,1),(143,1),(144,1),(145,1),(153,1),(176,1),(223,1),(225,1),(258,1),(262,1),(301,1),(332,1),(377,1),(380,1)}
       108:{1,3,4,6,7}:{(75,1),(76,1),(80,1),(142,1),(146,1),(149,1),(180,1),(226,1),(228,1),(256,1),(260,1),(301,1),(331,1),(378,1),(379,1)}
       109:{1,3,5}:{(75,1),(81,1),(143,1),(147,1)}
       110:{1,3,5,7}:{(76,1),(77,1),(78,1),(82,1),(149,1)}
       111:{1,4,6}:{(77,1),(83,1),(147,1),(149,1)}
       112:{1,2,5,6,7}:{(78,1),(84,1),(148,1),(151,1),(223,1),(250,1),(259,1),(310,1),(325,1),(330,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(85,1),(149,1),(151,1),(152,1),(166,1),(231,1),(233,1),(249,1),(257,1),(310,1),(330,1),(374,1),(379,1)}
       114:{1,3,5,6}:{(79,1),(86,1),(150,1),(152,1),(153,1),(225,1),(258,1),(301,1),(400,1)}
       115:{2,3,5,7}:{(80,1),(81,1),(92,1),(146,1),(154,1),(155,1),(242,1),(255,1),(310,1),(402,1)}
       116:{2,4,5}:{(81,1),(83,1),(93,1),(147,1),(156,1)}
       117:{2,3,5,6,7}:{(82,1),(84,1),(94,1),(148,1),(154,1),(157,1),(161,1),(174,1),(235,1),(242,1),(255,1),(310,1),(325,1),(375,1),(376,1)}
       118:{2,4,7}:{(82,1),(83,1),(95,1),(149,1),(158,1)}
       119:{3,4,6}:{(83,1),(86,1),(156,1),(158,1)}
       120:{2,4,6,7}:{(84,1),(85,1),(87,1),(161,1)}
       121:{3,5,7}:{(85,1),(86,1),(158,1),(161,1)}
       122:{2,3,5,6}:{(86,1),(89,1),(159,1),(162,1),(163,1),(400,1)}
       123:{1,4,5,6,7}:{(87,1),(90,1),(160,1),(164,1),(170,1),(231,1),(250,1),(324,1)}
       124:{1,3,4,6,7}:{(87,1),(88,1),(91,1),(161,1),(164,1),(165,1),(246,1),(248,1),(324,1),(376,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(162,1),(165,1),(166,1),(172,1),(233,1),(249,1),(255,1),(310,1)}
       126:{1,4,5,6}:{(89,1),(163,1),(166,1),(173,1),(234,1),(326,1),(364,1)}
       127:{3,5,6,7}:{(90,1),(91,1),(242,1),(376,1)}
       128:{1,3,5,6}:{(92,1),(100,1),(154,1),(167,1),(177,1),(360,1),(364,1)}
       129:{1,4,5,7}:{(92,1),(93,1),(95,1),(155,1),(167,1),(399,1),(411,1)}
       130:{1,3,4,5}:{(93,1),(96,1),(102,1),(156,1),(169,1),(411,1),(412,1)}
       131:{1,4,6,7}:{(94,1),(95,1),(157,1),(167,1),(170,1),(399,1)}
       132:{1,3,4,7}:{(95,1),(96,1),(98,1),(158,1),(172,1),(399,1),(403,1)}
       133:{2,4,6}:{(96,1),(99,1),(169,1),(172,1),(173,1)}
       134:{1,3,6,7}:{(97,1),(98,1),(161,1),(174,1),(177,1),(376,1)}
       135:{2,3,5,7}:{(98,1),(99,1),(172,1),(174,1),(175,1),(249,1),(255,1),(323,1)}
       136:{1,3,5,6}:{(99,1),(173,1),(175,1),(176,1),(179,1),(258,1),(260,1),(326,1)}
       137:{1,2,4,6}:{(100,1),(101,1),(167,1),(177,1),(252,1)}
       138:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(178,1)}
       139:{2,3,5}:{(102,1),(104,1),(169,1),(179,1)}
       140:{2,3,4,7}:{(103,1),(104,1),(172,1),(178,1),(180,1),(323,1)}
       141:{1,3,4,6}:{(104,1),(173,1),(179,1),(180,1),(181,1),(258,1),(260,1),(329,1)}
       142:{1,2,4,6,7}:{(105,1),(106,1),(108,1),(182,1),(184,1),(221,1),(264,1),(274,1),(298,1),(359,1)}
       143:{1,2,5}:{(105,1),(109,1)}
       144:{1,2,3,5,7}:{(106,1),(107,1),(110,1),(182,1),(184,1),(193,1),(217,1),(265,1),(297,1),(358,1)}
       145:{1,2,4,6}:{(107,1),(111,1),(183,1),(184,1),(185,1),(191,1),(300,1),(393,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(115,1),(182,1),(186,1),(187,1),(295,1),(394,1)}
       147:{1,4,5}:{(109,1),(111,1),(116,1)}
       148:{1,3,5,6,7}:{(110,1),(112,1),(117,1),(186,1),(189,1),(192,1),(216,1),(273,1),(295,1),(358,1)}
       149:{1,4,7}:{(110,1),(111,1),(118,1)}
       150:{1,3,4,6}:{(111,1),(114,1),(119,1),(188,1),(190,1),(191,1),(393,1),(408,1)}
       151:{1,2,4,6,7}:{(112,1),(113,1),(120,1),(189,1),(192,1),(207,1),(264,1),(274,1),(290,1),(354,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(121,1),(190,1),(192,1),(193,1),(297,1),(391,1)}
       153:{2,3,5,6}:{(114,1),(191,1),(193,1),(194,1),(205,1),(266,1),(287,1),(334,1),(339,1)}
       154:{2,3,5,6}:{(115,1),(128,1),(186,1),(195,1),(218,1),(279,1),(291,1),(334,1),(339,1)}
       155:{2,4,5,7}:{(115,1),(116,1),(118,1),(129,1),(187,1),(195,1),(196,1),(392,1),(409,1)}
       156:{3,4,5}:{(116,1),(119,1)}
       157:{2,4,6,7}:{(117,1),(118,1),(131,1),(189,1),(195,1),(198,1),(199,1),(392,1)}
       158:{3,4,7}:{(118,1),(119,1),(121,1)}
       159:{2,3,4,6}:{(119,1),(122,1),(133,1),(191,1),(197,1),(200,1),(201,1),(287,1),(408,1)}
       160:{2,4,5,6,7}:{(120,1),(123,1),(198,1),(202,1),(206,1),(288,1)}
       161:{3,6,7}:{(120,1),(121,1)}
       162:{2,3,5,7}:{(121,1),(122,1),(125,1),(200,1),(203,1),(204,1),(391,1)}
       163:{1,3,5,6}:{(122,1),(126,1),(201,1),(204,1),(205,1)}
       164:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(202,1),(206,1),(212,1),(273,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(203,1),(206,1),(207,1),(290,1)}
       166:{1,4,5,7}:{(125,1),(126,1),(204,1),(207,1),(214,1),(275,1),(295,1),(343,1)}
       167:{1,4,6}:{(128,1),(129,1),(195,1)}
       168:{1,3,4,5,7}:{(129,1),(130,1),(132,1),(138,1),(196,1),(209,1),(210,1),(212,1)}
       169:{2,4,5}:{(130,1),(133,1),(139,1),(211,1)}
       170:{1,4,5,7}:{(131,1),(198,1),(208,1),(212,1),(343,1)}
       171:{1,3,4,6,7}:{(131,1),(132,1),(134,1),(199,1),(209,1),(212,1),(213,1)}
       172:{2,4,7}:{(132,1),(133,1),(135,1),(214,1)}
       173:{1,4,6}:{(133,1),(136,1),(211,1),(214,1)}
       174:{2,3,6,7}:{(134,1),(135,1),(213,1),(216,1),(218,1),(290,1)}
       175:{1,3,5,7}:{(135,1),(136,1),(214,1),(216,1),(217,1),(295,1),(297,1)}
       176:{1,2,5,6}:{(136,1),(205,1),(215,1),(217,1),(220,1),(298,1)}
       177:{1,3,6}:{(137,1),(138,1),(218,1)}
       178:{2,3,5,7}:{(138,1),(139,1),(140,1),(210,1),(218,1),(219,1)}
       179:{1,3,5}:{(139,1),(141,1),(211,1),(220,1)}
       180:{1,3,4,7}:{(140,1),(141,1),(214,1),(219,1),(221,1),(297,1)}
       181:{1,2,4,6}:{(141,1),(220,1),(221,1),(222,1),(298,1),(300,1)}
       182:{1,2,5,7}:{(142,1),(143,1),(146,1),(223,1),(310,1),(380,1)}
       183:{1,2,4,5}:{(143,1),(145,1),(147,1),(225,1),(230,1),(380,1),(404,1)}
       184:{1,2,4,7}:{(144,1),(145,1),(149,1),(226,1),(233,1),(379,1)}
       185:{1,3,4,6}:{(145,1),(225,1),(226,1),(227,1),(258,1),(301,1),(329,1)}
       186:{1,3,5,6}:{(146,1),(154,1),(223,1),(228,1),(260,1),(301,1),(326,1)}
       187:{1,4,5,7}:{(146,1),(147,1),(149,1),(155,1),(228,1),(379,1),(404,1)}
       188:{1,3,4,5}:{(147,1),(150,1),(156,1),(225,1),(230,1),(404,1),(412,1)}
       189:{1,4,6,7}:{(148,1),(149,1),(157,1),(228,1),(231,1),(379,1)}
       190:{1,3,4,7}:{(149,1),(150,1),(152,1),(158,1),(233,1),(379,1),(403,1)}
       191:{2,4,6}:{(150,1),(153,1),(230,1),(233,1),(234,1)}
       192:{1,3,6,7}:{(151,1),(152,1),(161,1),(235,1),(301,1),(376,1)}
       193:{2,3,5,7}:{(152,1),(153,1),(233,1),(235,1),(236,1),(249,1),(310,1),(323,1)}
       194:{1,3,5,6}:{(153,1),(234,1),(236,1),(237,1),(303,1),(313,1),(360,1),(364,1)}
       195:{2,4,6}:{(154,1),(155,1),(167,1),(228,1),(239,1)}
       196:{3,4,5,7}:{(155,1),(156,1),(158,1),(239,1),(242,1),(403,1),(412,1)}
       197:{2,3,4,5}:{(156,1),(159,1),(169,1),(230,1),(241,1),(319,1),(412,1)}
       198:{2,4,5,7}:{(157,1),(170,1),(231,1),(238,1),(242,1),(255,1),(310,1)}
       199:{3,4,6,7}:{(157,1),(158,1),(161,1),(239,1),(242,1),(376,1),(403,1)}
       200:{2,3,4,7}:{(158,1),(159,1),(162,1),(172,1),(233,1),(244,1),(323,1),(403,1)}
       201:{1,3,4,6}:{(159,1),(163,1),(173,1),(234,1),(241,1),(244,1),(245,1),(258,1),(313,1)}
       202:{3,5,6,7}:{(160,1),(161,1),(242,1),(246,1)}
       203:{2,3,6,7}:{(161,1),(162,1),(165,1),(248,1),(376,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(166,1),(244,1),(248,1),(249,1)}
       205:{2,5,6}:{(163,1),(245,1),(249,1)}
       206:{2,5,6,7}:{(164,1),(165,1),(250,1),(255,1),(310,1)}
       207:{1,4,6,7}:{(165,1),(166,1),(248,1),(250,1)}
       208:{1,4,5,6}:{(167,1),(170,1),(238,1),(251,1),(364,1)}
       209:{1,3,4,6}:{(167,1),(168,1),(177,1),(239,1),(251,1),(252,1)}
       210:{2,4,5,7}:{(168,1),(169,1),(172,1),(178,1),(252,1),(253,1),(255,1)}
       211:{1,4,5}:{(169,1),(173,1),(179,1)}
       212:{1,3,5,7}:{(170,1),(171,1),(242,1),(251,1),(255,1)}
       213:{2,4,6,7}:{(171,1),(172,1),(174,1),(252,1),(255,1),(256,1)}
       214:{1,4,7}:{(172,1),(173,1),(175,1)}
       215:{1,2,4,6}:{(173,1),(176,1),(245,1),(254,1),(257,1),(258,1)}
       216:{1,3,6,7}:{(174,1),(175,1),(256,1),(259,1),(260,1)}
       217:{1,2,5,7}:{(175,1),(176,1),(249,1),(257,1),(259,1)}
       218:{2,3,6}:{(177,1),(178,1),(252,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(180,1),(253,1),(260,1),(261,1)}
       220:{1,2,5}:{(179,1),(181,1)}
       221:{1,2,4,7}:{(180,1),(181,1),(261,1),(263,1)}
       222:{1,2,3,6}:{(181,1),(258,1),(262,1),(263,1)}
       223:{1,2,5,6}:{(182,1),(186,1),(264,1),(298,1),(339,1)}
       224:{1,2,4,5,7}:{(182,1),(183,1),(184,1),(187,1),(264,1),(265,1),(271,1)}
       225:{1,3,5}:{(183,1),(185,1),(266,1)}
       226:{1,3,4,7}:{(184,1),(185,1),(265,1),(267,1),(297,1)}
       227:{2,3,4,6}:{(185,1),(191,1),(266,1),(267,1),(268,1),(287,1),(334,1),(350,1)}
       228:{1,4,6}:{(186,1),(187,1),(195,1)}
       229:{1,3,4,5,7}:{(187,1),(188,1),(190,1),(196,1),(265,1),(270,1),(271,1),(273,1)}
       230:{2,4,5}:{(188,1),(191,1),(266,1),(272,1)}
       231:{1,4,5,7}:{(189,1),(198,1),(269,1),(273,1),(295,1)}
       232:{1,3,4,6,7}:{(189,1),(190,1),(192,1),(199,1),(270,1),(273,1),(274,1)}
       233:{2,4,7}:{(190,1),(191,1),(193,1),(275,1)}
       234:{1,4,6}:{(191,1),(194,1),(272,1),(275,1)}
       235:{2,3,6,7}:{(192,1),(193,1),(274,1),(277,1),(290,1),(334,1)}
       236:{1,3,5,7}:{(193,1),(194,1),(275,1),(277,1),(278,1),(343,1),(345,1)}
       237:{1,2,5,6}:{(194,1),(205,1),(276,1),(278,1),(336,1),(381,1)}
       238:{2,4,5,6}:{(195,1),(198,1),(208,1),(269,1),(279,1),(291,1),(339,1)}
       239:{3,4,6}:{(195,1),(196,1),(279,1)}
       240:{2,3,4,5,7}:{(196,1),(197,1),(200,1),(210,1),(271,1),(280,1),(281,1),(284,1),(349,1),(392,1),(409,1)}
       241:{1,3,4,5}:{(197,1),(201,1),(211,1),(272,1),(282,1),(294,1),(342,1)}
       242:{3,5,7}:{(198,1),(199,1),(279,1)}
       243:{2,3,4,6,7}:{(199,1),(200,1),(203,1),(213,1),(274,1),(280,1),(284,1),(285,1),(288,1),(353,1),(392,1)}
       244:{1,3,4,7}:{(200,1),(201,1),(204,1),(214,1),(275,1),(286,1),(297,1),(345,1)}
       245:{2,4,6}:{(201,1),(205,1),(282,1),(286,1),(287,1)}
       246:{3,4,6,7}:{(202,1),(283,1),(288,1)}
       247:{2,3,5,6,7}:{(202,1),(203,1),(206,1),(284,1),(288,1),(289,1)}
       248:{1,3,6,7}:{(203,1),(204,1),(207,1),(290,1)}
       249:{2,5,7}:{(204,1),(205,1),(286,1),(290,1)}
       250:{1,5,6,7}:{(206,1),(207,1),(295,1),(343,1)}
       251:{1,3,5,6}:{(208,1),(209,1),(212,1),(279,1),(291,1)}
       252:{2,4,6}:{(209,1),(210,1),(218,1),(291,1),(292,1)}
       253:{1,4,5,7}:{(210,1),(211,1),(214,1),(219,1),(292,1),(295,1)}
       254:{1,2,4,5}:{(211,1),(215,1),(220,1),(282,1),(294,1),(300,1)}
       255:{2,5,7}:{(212,1),(213,1),(291,1),(295,1)}
       256:{1,4,6,7}:{(213,1),(214,1),(216,1),(292,1),(295,1)}
       257:{1,2,4,7}:{(214,1),(215,1),(217,1),(286,1),(297,1)}
       258:{1,3,6}:{(215,1),(287,1),(294,1),(297,1)}
       259:{1,2,6,7}:{(216,1),(217,1),(290,1),(298,1)}
       260:{1,3,6}:{(218,1),(219,1),(292,1),(298,1)}
       261:{1,2,5,7}:{(219,1),(220,1),(221,1),(298,1)}
       262:{1,2,3,5}:{(220,1),(222,1),(294,1),(300,1)}
       263:{1,2,3,7}:{(221,1),(222,1),(297,1)}
       264:{1,2,4,6}:{(223,1),(224,1),(228,1),(301,1),(307,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(301,1),(302,1)}
       266:{2,3,5}:{(225,1),(227,1),(230,1),(303,1)}
       267:{2,3,4,7}:{(226,1),(227,1),(233,1),(302,1),(304,1),(323,1)}
       268:{1,3,4,6}:{(227,1),(234,1),(303,1),(304,1),(305,1),(313,1),(360,1),(367,1)}
       269:{1,4,5,6}:{(228,1),(231,1),(238,1),(306,1),(326,1)}
       270:{1,3,4,6}:{(228,1),(229,1),(239,1),(301,1),(306,1),(307,1)}
       271:{2,4,5,7}:{(229,1),(230,1),(233,1),(302,1),(307,1),(308,1),(310,1)}
       272:{1,4,5}:{(230,1),(234,1),(303,1)}
       273:{1,3,5,7}:{(231,1),(232,1),(242,1),(306,1),(310,1)}
       274:{2,4,6,7}:{(232,1),(233,1),(235,1),(307,1),(310,1),(311,1)}
       275:{1,4,7}:{(233,1),(234,1),(236,1)}
       276:{1,2,4,6}:{(234,1),(237,1),(245,1),(309,1),(312,1),(313,1)}
       277:{1,3,6,7}:{(235,1),(236,1),(311,1),(314,1),(360,1)}
       278:{1,2,5,7}:{(236,1),(237,1),(249,1),(312,1),(314,1)}
       279:{3,5,6}:{(238,1),(239,1),(242,1)}
       280:{2,3,4,6}:{(239,1),(240,1),(252,1),(307,1),(316,1),(317,1),(372,1),(401,1)}
       281:{1,3,4,5,7}:{(240,1),(241,1),(244,1),(253,1),(308,1),(317,1),(318,1),(321,1),(328,1),(366,1),(379,1),(399,1),(403,1),(404,1),(411,1),(412,1)}
       282:{2,4,5}:{(241,1),(245,1),(319,1)}
       283:{3,4,5,7}:{(242,1),(246,1),(315,1),(320,1),(403,1)}
       284:{2,3,5,7}:{(242,1),(243,1),(255,1),(310,1),(316,1),(320,1),(321,1)}
       285:{1,3,4,6,7}:{(243,1),(244,1),(248,1),(256,1),(311,1),(317,1),(321,1),(322,1),(324,1),(331,1),(369,1),(376,1),(379,1),(399,1),(403,1)}
       286:{2,4,7}:{(244,1),(245,1),(249,1),(323,1)}
       287:{2,3,6}:{(245,1),(258,1),(313,1),(319,1),(323,1)}
       288:{2,4,6,7}:{(246,1),(247,1),(320,1),(324,1)}
       289:{1,3,5,6,7}:{(247,1),(248,1),(250,1),(321,1),(324,1),(325,1),(376,1)}
       290:{2,6,7}:{(248,1),(249,1)}
       291:{2,5,6}:{(251,1),(252,1),(255,1),(326,1)}
       292:{1,4,6}:{(252,1),(253,1),(260,1),(326,1)}
       293:{1,2,4,5,7}:{(253,1),(254,1),(257,1),(261,1),(318,1),(327,1),(328,1),(330,1),(333,1),(379,1),(380,1),(404,1)}
       294:{1,3,5}:{(254,1),(258,1),(319,1),(329,1)}
       295:{1,5,7}:{(255,1),(256,1),(326,1)}
       296:{1,2,4,6,7}:{(256,1),(257,1),(259,1),(322,1),(327,1),(330,1),(331,1),(379,1)}
       297:{1,3,7}:{(257,1),(258,1),(323,1)}
       298:{1,2,6}:{(260,1),(261,1)}
       299:{1,2,3,5,7}:{(261,1),(262,1),(263,1),(328,1),(332,1),(333,1),(380,1)}
       300:{1,2,4}:{(262,1),(329,1)}
       301:{1,3,6}:{(264,1),(265,1),(334,1)}
       302:{2,3,5,7}:{(265,1),(266,1),(267,1),(271,1),(334,1),(335,1)}
       303:{1,3,5}:{(266,1),(268,1),(272,1),(336,1)}
       304:{1,3,4,7}:{(267,1),(268,1),(275,1),(335,1),(337,1),(345,1)}
       305:{1,2,4,6}:{(268,1),(336,1),(337,1),(338,1),(381,1),(383,1)}
       306:{1,3,5,6}:{(269,1),(270,1),(273,1),(279,1),(339,1)}
       307:{2,4,6}:{(270,1),(271,1),(334,1),(339,1),(340,1)}
       308:{1,4,5,7}:{(271,1),(272,1),(275,1),(335,1),(340,1),(343,1)}
       309:{1,2,4,5}:{(272,1),(276,1),(282,1),(336,1),(342,1),(383,1)}
       310:{2,5,7}:{(273,1),(274,1),(339,1),(343,1)}
       311:{1,4,6,7}:{(274,1),(275,1),(277,1),(340,1),(343,1)}
       312:{1,2,4,7}:{(275,1),(276,1),(278,1),(286,1),(345,1)}
       313:{1,3,6}:{(276,1),(287,1),(342,1),(345,1)}
       314:{1,2,6,7}:{(277,1),(278,1),(290,1),(381,1)}
       315:{3,4,5,6}:{(279,1),(283,1),(346,1),(408,1)}
       316:{2,3,5,6}:{(279,1),(280,1),(284,1),(291,1),(339,1),(346,1),(347,1)}
       317:{1,3,4,6}:{(280,1),(281,1),(292,1),(340,1),(347,1),(348,1),(356,1),(385,1),(393,1),(406,1),(408,1)}
       318:{2,4,5,7}:{(281,1),(282,1),(286,1),(348,1),(349,1),(352,1),(392,1),(409,1)}
       319:{2,3,5}:{(282,1),(287,1),(294,1),(342,1),(350,1)}
       320:{2,4,5,7}:{(283,1),(284,1),(288,1),(346,1),(351,1),(392,1)}
       321:{1,3,5,7}:{(284,1),(285,1),(295,1),(343,1),(347,1),(351,1),(352,1),(391,1)}
       322:{2,4,6,7}:{(285,1),(286,1),(290,1),(348,1),(352,1),(353,1),(392,1)}
       323:{2,3,7}:{(286,1),(287,1),(297,1),(345,1)}
       324:{1,4,6,7}:{(288,1),(289,1),(351,1),(354,1)}
       325:{2,5,6,7}:{(289,1),(290,1),(352,1),(354,1)}
       326:{1,5,6}:{(291,1),(292,1),(295,1)}
       327:{1,2,4,6}:{(292,1),(293,1),(298,1),(348,1),(355,1),(356,1),(393,1)}
       328:{1,3,5,7}:{(293,1),(294,1),(297,1),(349,1),(356,1),(357,1),(394,1)}
       329:{1,3,4}:{(294,1),(300,1),(350,1)}
       330:{1,2,5,7}:{(295,1),(296,1),(352,1),(355,1),(358,1)}
       331:{1,3,6,7}:{(296,1),(297,1),(353,1),(356,1),(358,1)}
       332:{1,2,3,6}:{(298,1),(299,1),(356,1),(359,1)}
       333:{1,2,4,7}:{(299,1),(300,1),(357,1),(359,1)}
       334:{2,3,6}:{(301,1),(302,1),(307,1),(360,1)}
       335:{1,3,5,7}:{(302,1),(303,1),(304,1),(308,1),(360,1),(361,1)}
       336:{1,2,5}:{(303,1),(305,1)}
       337:{1,2,4,7}:{(304,1),(305,1),(361,1),(363,1)}
       338:{1,2,3,6}:{(305,1),(313,1),(362,1),(363,1)}
       339:{2,5,6}:{(306,1),(307,1),(310,1),(364,1)}
       340:{1,4,6}:{(307,1),(308,1),(360,1),(364,1)}
       341:{1,2,4,5,7}:{(308,1),(309,1),(312,1),(318,1),(361,1),(365,1),(366,1),(368,1),(396,1),(399,1),(410,1),(411,1)}
       342:{1,3,5}:{(309,1),(313,1),(319,1),(367,1)}
       343:{1,5,7}:{(310,1),(311,1),(364,1)}
       344:{1,2,4,6,7}:{(311,1),(312,1),(314,1),(322,1),(365,1),(368,1),(369,1),(399,1)}
       345:{1,3,7}:{(312,1),(313,1),(323,1)}
       346:{2,4,5,6}:{(315,1),(316,1),(320,1),(370,1),(401,1)}
       347:{1,3,5,6}:{(316,1),(317,1),(321,1),(326,1),(364,1),(370,1),(371,1),(400,1)}
       348:{2,4,6}:{(317,1),(318,1),(371,1),(372,1)}
       349:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(366,1),(372,1),(373,1),(402,1)}
       350:{2,3,4}:{(319,1),(329,1),(367,1)}
       351:{1,4,5,7}:{(320,1),(321,1),(324,1),(370,1),(374,1),(379,1),(399,1)}
       352:{2,5,7}:{(321,1),(322,1),(371,1)}
       353:{2,3,6,7}:{(322,1),(323,1),(331,1),(369,1),(372,1),(375,1),(376,1)}
       354:{2,4,6,7}:{(324,1),(325,1),(374,1),(376,1)}
       355:{1,2,5,6}:{(326,1),(327,1),(330,1),(371,1),(377,1),(380,1)}
       356:{1,3,6}:{(327,1),(328,1),(372,1)}
       357:{1,3,4,7}:{(328,1),(329,1),(333,1),(373,1),(378,1),(379,1)}
       358:{1,3,5,7}:{(330,1),(331,1),(375,1),(377,1),(379,1)}
       359:{1,2,4,6}:{(332,1),(333,1),(378,1),(380,1)}
       360:{1,3,6}:{(334,1),(335,1),(340,1),(381,1)}
       361:{1,2,5,7}:{(335,1),(336,1),(337,1),(381,1)}
       362:{1,2,3,5}:{(336,1),(338,1),(342,1),(383,1)}
       363:{1,2,3,7}:{(337,1),(338,1),(345,1)}
       364:{1,5,6}:{(339,1),(340,1),(343,1)}
       365:{1,2,4,6}:{(340,1),(341,1),(348,1),(381,1),(384,1),(385,1),(406,1)}
       366:{1,3,5,7}:{(341,1),(342,1),(345,1),(349,1),(385,1),(386,1),(407,1)}
       367:{1,3,4}:{(342,1),(350,1),(383,1)}
       368:{1,2,5,7}:{(343,1),(344,1),(352,1),(384,1),(387,1)}
       369:{1,3,6,7}:{(344,1),(345,1),(353,1),(385,1),(387,1)}
       370:{1,4,5,6}:{(346,1),(347,1),(351,1),(388,1),(393,1),(406,1)}
       371:{2,5,6}:{(347,1),(348,1),(352,1)}
       372:{2,3,6}:{(348,1),(349,1),(356,1),(385,1)}
       373:{2,3,4,7}:{(349,1),(350,1),(357,1),(386,1),(390,1),(392,1)}
       374:{2,4,5,7}:{(351,1),(352,1),(354,1),(388,1),(391,1),(392,1)}
       375:{2,3,5,7}:{(352,1),(353,1),(358,1),(387,1),(389,1),(391,1),(392,1)}
       376:{3,6,7}:{(354,1),(391,1)}
       377:{1,3,5,6}:{(355,1),(356,1),(358,1),(389,1),(393,1),(394,1)}
       378:{1,3,4,6}:{(356,1),(357,1),(359,1),(390,1),(393,1),(394,1)}
       379:{1,4,7}:{(358,1),(392,1),(393,1)}
       380:{1,2,5}:{(359,1),(394,1)}
       381:{1,2,6}:{(360,1),(361,1)}
       382:{1,2,3,5,7}:{(361,1),(362,1),(363,1),(366,1),(395,1),(396,1),(410,1)}
       383:{1,2,4}:{(362,1),(367,1)}
       384:{1,2,5,6}:{(364,1),(365,1),(368,1),(371,1),(397,1),(410,1)}
       385:{1,3,6}:{(365,1),(366,1),(372,1)}
       386:{1,3,4,7}:{(366,1),(367,1),(373,1),(396,1),(398,1),(399,1)}
       387:{1,3,5,7}:{(368,1),(369,1),(375,1),(397,1),(399,1)}
       388:{2,4,5,6}:{(370,1),(371,1),(374,1),(400,1),(401,1)}
       389:{2,3,5,6}:{(371,1),(372,1),(375,1),(377,1),(397,1),(400,1),(401,1),(402,1)}
       390:{2,3,4,6}:{(372,1),(373,1),(378,1),(398,1),(401,1),(402,1)}
       391:{3,5,7}:{(374,1),(376,1),(400,1),(403,1)}
       392:{2,4,7}:{(375,1),(379,1),(399,1),(401,1),(403,1)}
       393:{1,4,6}:{(377,1),(379,1),(401,1),(404,1)}
       394:{1,3,5}:{(378,1),(380,1),(402,1),(404,1)}
       395:{1,2,3,6}:{(381,1),(382,1),(385,1),(405,1)}
       396:{1,2,4,7}:{(382,1),(383,1),(386,1),(405,1)}
       397:{1,3,5,6}:{(384,1),(385,1),(387,1),(389,1),(406,1),(407,1)}
       398:{1,3,4,6}:{(385,1),(386,1),(390,1),(405,1),(406,1),(407,1)}
       399:{1,4,7}:{(387,1),(392,1),(406,1)}
       400:{3,5,6}:{(388,1),(391,1),(408,1)}
       401:{2,4,6}:{(389,1),(392,1),(393,1),(406,1),(408,1),(409,1)}
       402:{2,3,5}:{(390,1),(394,1),(407,1),(409,1)}
       403:{3,4,7}:{(391,1),(392,1),(408,1)}
       404:{1,4,5}:{(393,1),(394,1),(409,1)}
       405:{1,2,4,6}:{(395,1),(396,1),(398,1),(410,1)}
       406:{1,4,6}:{(397,1),(399,1),(401,1),(411,1)}
       407:{1,3,5}:{(398,1),(402,1),(410,1),(411,1)}
       408:{3,4,6}:{(400,1),(401,1),(403,1),(412,1)}
       409:{2,4,5}:{(401,1),(402,1),(404,1),(411,1),(412,1)}
       410:{1,2,5}:{(405,1),(407,1)}
       411:{1,4,5}:{(406,1),(407,1),(409,1)}
       412:{3,4,5}:{(408,1),(409,1)}

1801 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(97,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(36,1),(76,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(29,1),(81,1),(106,1),(110,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(43,1),(81,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(43,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(93,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1),(23,1),(47,1),(59,1),(88,1),(93,1)}
         8:{2,3,4,7}:{(1,1),(18,1),(20,1),(58,1),(98,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(19,1),(22,1),(23,1),(24,1),(59,1)}
        11:{1,3,5}:{(3,1),(21,1),(23,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(66,1),(104,1),(106,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(30,1),(31,1),(76,1),(135,1)}
        16:{3,4,5,7}:{(5,1),(31,1),(32,1),(111,1),(133,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(30,1),(33,1),(34,1),(71,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1)}
        19:{2,4,6}:{(7,1),(9,1),(33,1),(36,1),(37,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(34,1),(37,1),(42,1),(70,1),(82,1),(107,1),(111,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(36,1),(38,1)}
        22:{1,2,5,6}:{(10,1),(33,1),(39,1),(40,1),(43,1),(85,1)}
        23:{1,3,6}:{(10,1),(11,1),(36,1),(42,1)}
        24:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        25:{1,3,4}:{(11,1),(13,1),(38,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(41,1),(43,1),(44,1),(85,1)}
        27:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        28:{1,2,4,6}:{(14,1),(19,1),(46,1),(47,1),(48,1),(88,1)}
        29:{1,3,5}:{(14,1),(21,1),(47,1),(49,1)}
        30:{1,4,5,6}:{(15,1),(17,1),(50,1),(51,1),(59,1),(88,1),(128,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(18,1),(51,1),(52,1),(98,1),(127,1)}
        32:{3,4,6,7}:{(16,1),(52,1),(53,1)}
        33:{2,5,6}:{(17,1),(19,1),(55,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(20,1),(51,1),(55,1),(56,1),(94,1)}
        35:{2,3,6,7}:{(18,1),(52,1),(56,1)}
        36:{2,3,6}:{(19,1),(21,1),(23,1),(47,1),(58,1)}
        37:{2,4,7}:{(19,1),(20,1),(55,1),(58,1)}
        38:{2,3,4}:{(21,1),(25,1),(49,1)}
        39:{1,3,5,6}:{(22,1),(23,1),(54,1),(59,1),(60,1),(62,1),(103,1),(128,1)}
        40:{1,2,5,7}:{(22,1),(24,1),(55,1),(60,1),(61,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(26,1),(57,1),(59,1),(62,1),(63,1),(103,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,2,5}:{(26,1),(62,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(64,1)}
        45:{1,2,3,5}:{(29,1),(65,1),(66,1),(104,1)}
        46:{1,2,5,6}:{(28,1),(33,1),(67,1),(68,1),(104,1),(129,1)}
        47:{1,3,6}:{(28,1),(29,1),(36,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,4}:{(29,1),(38,1),(66,1)}
        50:{2,4,5,6}:{(30,1),(33,1),(71,1),(72,1),(76,1),(135,1),(139,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(82,1),(107,1),(118,1),(131,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(35,1),(73,1),(74,1)}
        53:{3,5,6,7}:{(32,1),(74,1),(75,1),(133,1)}
        54:{2,3,5,6}:{(33,1),(36,1),(39,1),(67,1),(71,1),(76,1),(77,1),(79,1),(116,1),(135,1)}
        55:{2,5,7}:{(33,1),(34,1),(37,1),(78,1)}
        56:{1,3,6,7}:{(34,1),(35,1),(73,1),(78,1),(112,1)}
        57:{2,3,4,6}:{(36,1),(38,1),(41,1),(69,1),(76,1),(79,1),(80,1),(116,1)}
        58:{2,3,7}:{(36,1),(37,1),(42,1),(70,1)}
        59:{1,4,6}:{(39,1),(76,1),(81,1),(82,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(77,1),(82,1),(83,1),(118,1)}
        61:{1,2,6,7}:{(40,1),(78,1),(83,1),(85,1)}
        62:{1,3,5}:{(41,1),(43,1),(79,1),(81,1)}
        63:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1),(82,1),(84,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(85,1)}
        65:{1,2,3,6}:{(45,1),(47,1),(86,1),(87,1)}
        66:{1,2,4}:{(45,1),(49,1)}
        67:{1,3,5,6}:{(46,1),(47,1),(54,1),(88,1),(89,1),(91,1),(122,1),(136,1)}
        68:{1,2,5,7}:{(46,1),(48,1),(55,1),(89,1),(90,1)}
        69:{1,3,4,6}:{(47,1),(49,1),(57,1),(86,1),(88,1),(91,1),(92,1),(122,1)}
        70:{1,3,7}:{(47,1),(48,1),(58,1)}
        71:{3,5,6}:{(50,1),(93,1),(94,1)}
        72:{2,4,5,7}:{(50,1),(51,1),(55,1),(94,1),(95,1),(98,1),(127,1),(138,1)}
        73:{1,4,6,7}:{(51,1),(52,1),(56,1),(95,1),(96,1)}
        74:{2,5,6,7}:{(52,1),(53,1),(96,1),(127,1)}
        75:{4,5,6,7}:{(53,1),(138,1)}
        76:{2,4,6}:{(54,1),(59,1),(88,1),(93,1),(97,1),(98,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(58,1),(60,1),(89,1),(94,1),(98,1),(99,1),(127,1)}
        78:{2,6,7}:{(55,1),(56,1)}
        79:{2,3,5}:{(57,1),(62,1),(91,1),(97,1)}
        80:{2,3,4,7}:{(57,1),(58,1),(63,1),(92,1),(98,1),(100,1)}
        81:{1,4,5}:{(59,1),(62,1),(97,1)}
        82:{1,4,7}:{(59,1),(60,1),(98,1)}
        83:{1,3,6,7}:{(60,1),(61,1),(99,1),(102,1),(103,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(100,1),(101,1),(103,1)}
        85:{1,2,6}:{(64,1),(103,1)}
        86:{1,2,4,6}:{(65,1),(66,1),(69,1),(104,1),(105,1),(129,1)}
        87:{1,2,3,7}:{(65,1),(70,1),(105,1)}
        88:{1,4,6}:{(67,1),(76,1),(106,1),(107,1)}
        89:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(107,1),(108,1),(131,1)}
        90:{1,2,6,7}:{(68,1),(78,1),(108,1),(129,1)}
        91:{1,3,5}:{(69,1),(79,1),(104,1),(106,1)}
        92:{1,3,4,7}:{(69,1),(70,1),(80,1),(105,1),(107,1),(109,1)}
        93:{3,4,6}:{(71,1),(76,1),(110,1),(111,1)}
        94:{3,5,7}:{(71,1),(72,1),(111,1),(112,1)}
        95:{2,4,6,7}:{(72,1),(73,1),(78,1),(112,1),(113,1),(134,1)}
        96:{1,5,6,7}:{(73,1),(74,1),(113,1),(118,1),(131,1)}
        97:{2,4,5}:{(76,1),(79,1),(81,1),(106,1),(110,1)}
        98:{2,4,7}:{(76,1),(77,1),(82,1),(107,1),(111,1)}
        99:{2,3,6,7}:{(77,1),(78,1),(83,1),(108,1),(112,1),(115,1),(116,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(114,1),(116,1)}
       101:{1,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(117,1),(118,1)}
       102:{1,4,6,7}:{(82,1),(83,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(117,1)}
       104:{1,2,5}:{(86,1),(91,1)}
       105:{1,2,4,7}:{(86,1),(87,1),(92,1),(119,1)}
       106:{1,4,5}:{(88,1),(91,1),(97,1)}
       107:{1,4,7}:{(88,1),(89,1),(98,1)}
       108:{1,3,6,7}:{(89,1),(90,1),(99,1),(121,1),(122,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(120,1),(122,1)}
       110:{3,4,5}:{(93,1),(97,1)}
       111:{3,4,7}:{(93,1),(94,1),(98,1)}
       112:{3,6,7}:{(94,1),(95,1)}
       113:{2,5,6,7}:{(95,1),(96,1),(125,1),(127,1)}
       114:{2,4,5,7}:{(97,1),(98,1),(100,1),(101,1),(120,1),(123,1),(126,1),(127,1)}
       115:{2,4,6,7}:{(98,1),(99,1),(102,1),(121,1),(124,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(126,1)}
       117:{1,4,6}:{(101,1),(103,1),(126,1),(128,1)}
       118:{1,5,7}:{(102,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(130,1),(131,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(130,1)}
       123:{3,4,5,7}:{(110,1),(111,1),(114,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{3,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6}:{(114,1),(116,1),(117,1),(130,1),(132,1),(135,1)}
       127:{2,5,7}:{(115,1),(118,1),(131,1),(133,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,4,6}:{(120,1),(122,1),(126,1),(136,1)}
       131:{1,5,7}:{(121,1),(127,1),(136,1)}
       132:{3,4,6}:{(123,1),(126,1),(137,1)}
       133:{3,5,7}:{(124,1),(127,1),(137,1),(138,1)}
       134:{4,6,7}:{(125,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1802 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1803 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1804 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1805 :   0:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(23,1),(285,1),(286,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(87,1),(160,1),(163,1),(164,1),(178,1),(236,1),(248,1)}
         2:{1,2,4,7}:{(0,1),(7,1),(9,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(9,1),(38,1),(323,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(47,1),(51,1),(228,1),(229,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(19,1),(47,1),(59,1),(67,1),(111,1),(123,1),(133,1),(189,1),(203,1),(208,1),(222,1),(279,1),(290,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(54,1),(120,1),(206,1),(221,1),(278,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(133,1),(353,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(19,1),(21,1),(23,1),(67,1),(68,1),(133,1),(279,1),(280,1),(285,1),(348,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(20,1),(23,1)}
        10:{1,2,3,6,7}:{(3,1),(22,1),(24,1),(64,1),(141,1),(224,1),(287,1),(354,1),(355,1),(390,1)}
        11:{1,2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(65,1),(70,1),(72,1),(140,1),(141,1),(283,1),(286,1),(349,1),(355,1),(391,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(26,1),(28,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(28,1),(75,1),(270,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(160,1),(335,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(87,1),(88,1),(160,1),(253,1),(329,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(38,1),(75,1),(96,1),(147,1),(161,1),(265,1),(318,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(84,1),(93,1),(160,1),(247,1),(248,1),(255,1),(261,1),(314,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(250,1),(264,1),(317,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(31,1),(38,1),(40,1),(320,1),(374,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(32,1),(38,1),(40,1),(96,1)}
        21:{1,2,4,6}:{(8,1),(33,1),(38,1),(42,1),(96,1),(318,1),(323,1)}
        22:{1,2,4,6,7}:{(9,1),(10,1),(39,1),(43,1),(45,1),(103,1),(244,1),(261,1),(323,1),(378,1)}
        23:{1,2,5}:{(9,1),(40,1)}
        24:{1,2,3,5,7}:{(10,1),(11,1),(43,1),(45,1),(95,1),(104,1),(181,1),(322,1),(374,1),(402,1)}
        25:{1,2,4,6}:{(11,1),(44,1),(45,1),(46,1),(96,1),(175,1),(325,1),(403,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(189,1),(309,1)}
        27:{1,2,4,5,7}:{(12,1),(15,1),(47,1),(49,1),(51,1),(111,1),(112,1),(189,1),(222,1),(223,1),(228,1),(304,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(48,1),(51,1)}
        29:{1,2,3,6,7}:{(13,1),(50,1),(52,1),(108,1),(197,1),(230,1),(281,1),(310,1),(311,1),(368,1)}
        30:{1,2,3,5,6}:{(13,1),(51,1),(52,1),(53,1),(109,1),(114,1),(116,1),(196,1),(197,1),(226,1),(229,1),(305,1),(311,1),(369,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(19,1),(47,1),(54,1),(56,1),(296,1),(360,1)}
        32:{2,3,4,6}:{(14,1),(20,1),(48,1),(54,1),(56,1),(120,1)}
        33:{2,4,6}:{(15,1),(16,1),(54,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(57,1),(59,1),(64,1),(108,1),(127,1),(133,1),(189,1),(203,1),(210,1),(290,1),(299,1),(303,1),(347,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(58,1),(59,1),(60,1),(126,1),(306,1),(350,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(59,1),(62,1),(288,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(60,1),(62,1),(63,1),(120,1)}
        38:{1,3,6}:{(19,1),(21,1),(54,1)}
        39:{1,3,4,6,7}:{(20,1),(22,1),(55,1),(64,1),(66,1),(73,1),(133,1),(135,1),(141,1),(200,1),(284,1),(347,1),(390,1),(392,1),(409,1)}
        40:{1,3,5}:{(20,1),(23,1),(56,1),(67,1)}
        41:{1,2,4,6,7}:{(21,1),(57,1),(64,1),(68,1),(133,1),(347,1),(348,1),(354,1)}
        42:{1,2,5,6}:{(21,1),(23,1),(58,1),(65,1),(68,1),(350,1)}
        43:{1,2,5,7}:{(22,1),(23,1),(66,1),(70,1),(302,1),(393,1)}
        44:{1,2,4,5}:{(23,1),(25,1),(67,1),(72,1),(137,1),(393,1),(410,1)}
        45:{1,2,4,7}:{(24,1),(25,1),(73,1),(133,1),(218,1),(409,1)}
        46:{1,3,4,6}:{(25,1),(72,1),(73,1),(74,1),(141,1),(349,1),(353,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(31,1),(75,1),(77,1),(267,1),(341,1)}
        48:{1,3,4,6}:{(26,1),(28,1),(32,1),(75,1),(77,1),(147,1)}
        49:{1,2,4,6}:{(27,1),(33,1),(75,1),(79,1),(147,1),(265,1),(270,1)}
        50:{1,2,4,6,7}:{(28,1),(29,1),(76,1),(80,1),(82,1),(154,1),(186,1),(270,1),(314,1),(345,1)}
        51:{1,2,5}:{(28,1),(77,1)}
        52:{1,2,3,5,7}:{(29,1),(30,1),(80,1),(82,1),(146,1),(155,1),(239,1),(269,1),(341,1),(386,1)}
        53:{1,2,4,6}:{(30,1),(81,1),(82,1),(83,1),(147,1),(233,1),(272,1),(387,1)}
        54:{2,3,6}:{(31,1),(33,1),(38,1),(75,1)}
        55:{2,3,4,6,7}:{(32,1),(39,1),(76,1),(84,1),(86,1),(106,1),(157,1),(160,1),(162,1),(183,1),(241,1),(247,1),(261,1),(314,1),(381,1),(384,1),(406,1)}
        56:{2,3,5}:{(32,1),(40,1),(77,1),(87,1)}
        57:{2,4,6,7}:{(33,1),(34,1),(84,1),(88,1),(160,1),(329,1),(338,1)}
        58:{2,5,6}:{(33,1),(35,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(36,1),(88,1),(91,1),(166,1),(339,1),(372,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(89,1),(91,1),(96,1),(147,1)}
        61:{2,3,5,6,7}:{(36,1),(90,1),(93,1),(172,1),(255,1),(258,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(91,1),(93,1),(94,1),(160,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(161,1),(250,1)}
        64:{1,3,6,7}:{(38,1),(41,1),(84,1),(95,1),(374,1)}
        65:{1,3,5,6}:{(38,1),(40,1),(42,1),(85,1),(95,1),(96,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(43,1),(86,1),(97,1),(98,1),(372,1),(404,1)}
        67:{1,4,5}:{(40,1),(87,1),(96,1)}
        68:{1,2,5,7}:{(41,1),(42,1),(88,1),(95,1),(372,1)}
        69:{1,2,4,5,6}:{(42,1),(44,1),(89,1),(96,1),(101,1),(102,1),(103,1),(171,1),(175,1),(176,1),(257,1),(264,1),(316,1),(375,1),(382,1),(403,1)}
        70:{1,2,5,6}:{(43,1),(97,1),(103,1),(264,1),(323,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(98,1),(103,1),(104,1),(178,1)}
        72:{1,3,5}:{(44,1),(46,1),(105,1)}
        73:{1,3,4,7}:{(45,1),(46,1),(104,1),(106,1),(374,1)}
        74:{2,3,4,6}:{(46,1),(105,1),(106,1),(107,1),(175,1),(183,1),(330,1),(335,1)}
        75:{1,3,6}:{(47,1),(49,1),(54,1)}
        76:{1,3,4,6,7}:{(48,1),(50,1),(55,1),(108,1),(110,1),(117,1),(144,1),(189,1),(191,1),(197,1),(227,1),(303,1),(368,1),(370,1),(400,1)}
        77:{1,3,5}:{(48,1),(51,1),(56,1),(111,1)}
        78:{1,2,4,6,7}:{(49,1),(57,1),(108,1),(112,1),(189,1),(303,1),(304,1),(310,1)}
        79:{1,2,5,6}:{(49,1),(51,1),(58,1),(109,1),(112,1),(306,1)}
        80:{1,2,5,7}:{(50,1),(51,1),(110,1),(114,1),(346,1),(371,1)}
        81:{1,2,4,5}:{(51,1),(53,1),(111,1),(116,1),(193,1),(371,1),(401,1)}
        82:{1,2,4,7}:{(52,1),(53,1),(117,1),(189,1),(275,1),(400,1)}
        83:{1,3,4,6}:{(53,1),(116,1),(117,1),(118,1),(197,1),(305,1),(309,1)}
        84:{2,3,6,7}:{(54,1),(57,1),(64,1),(108,1),(119,1),(210,1),(360,1)}
        85:{2,3,5,6}:{(54,1),(56,1),(58,1),(65,1),(109,1),(119,1),(120,1),(126,1)}
        86:{2,3,5,7}:{(55,1),(56,1),(66,1),(110,1),(121,1),(122,1),(288,1),(302,1),(346,1),(398,1)}
        87:{2,4,5}:{(56,1),(67,1),(111,1),(120,1),(123,1)}
        88:{2,5,7}:{(57,1),(58,1),(59,1)}
        89:{2,4,5,6}:{(58,1),(60,1),(120,1),(125,1),(126,1)}
        90:{1,3,5,6,7}:{(59,1),(61,1),(124,1),(127,1),(210,1),(299,1),(301,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(62,1),(125,1),(127,1),(133,1),(189,1)}
        92:{1,3,4,5,6}:{(60,1),(63,1),(126,1),(128,1),(129,1),(134,1),(190,1),(212,1),(220,1),(277,1),(292,1),(361,1),(396,1)}
        93:{2,4,6,7}:{(61,1),(62,1),(127,1),(131,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(131,1),(203,1),(288,1)}
        95:{1,3,5,7}:{(64,1),(65,1),(68,1),(119,1),(133,1)}
        96:{1,4,6}:{(65,1),(67,1),(120,1),(133,1)}
        97:{1,3,5,6}:{(66,1),(70,1),(121,1),(135,1),(141,1),(284,1),(350,1)}
        98:{1,4,5,7}:{(66,1),(67,1),(122,1),(133,1),(135,1),(409,1),(410,1)}
        99:{1,3,4,5}:{(67,1),(72,1),(123,1),(134,1),(137,1),(410,1),(412,1)}
       100:{1,2,5,6,7}:{(68,1),(70,1),(124,1),(132,1),(138,1),(301,1),(302,1),(354,1),(366,1),(389,1)}
       101:{1,2,4,5,7}:{(68,1),(69,1),(125,1),(133,1),(138,1),(139,1),(215,1),(216,1),(218,1),(300,1),(302,1),(348,1),(389,1),(394,1),(409,1)}
       102:{1,3,5,6}:{(69,1),(72,1),(126,1),(134,1),(139,1),(140,1),(141,1),(349,1),(396,1)}
       103:{1,2,4,6}:{(70,1),(71,1),(135,1),(141,1),(221,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(73,1),(141,1),(142,1)}
       105:{2,3,5}:{(72,1),(74,1),(137,1),(143,1)}
       106:{2,3,4,7}:{(73,1),(74,1),(142,1),(144,1),(218,1),(360,1)}
       107:{1,3,4,6}:{(74,1),(143,1),(144,1),(145,1),(219,1),(227,1),(305,1),(309,1)}
       108:{1,3,6,7}:{(75,1),(78,1),(84,1),(146,1),(341,1)}
       109:{1,3,5,6}:{(75,1),(77,1),(79,1),(85,1),(146,1),(147,1)}
       110:{1,3,5,7}:{(76,1),(77,1),(80,1),(86,1),(148,1),(149,1),(339,1),(388,1)}
       111:{1,4,5}:{(77,1),(87,1),(147,1)}
       112:{1,2,5,7}:{(78,1),(79,1),(88,1),(146,1),(339,1)}
       113:{1,2,4,5,6}:{(79,1),(81,1),(89,1),(147,1),(152,1),(153,1),(154,1),(171,1),(233,1),(234,1),(257,1),(263,1),(317,1),(342,1),(382,1),(387,1)}
       114:{1,2,5,6}:{(80,1),(148,1),(154,1),(270,1),(317,1)}
       115:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(149,1),(154,1),(155,1),(236,1)}
       116:{1,3,5}:{(81,1),(83,1),(156,1)}
       117:{1,3,4,7}:{(82,1),(83,1),(155,1),(157,1),(341,1)}
       118:{2,3,4,6}:{(83,1),(156,1),(157,1),(158,1),(233,1),(241,1),(330,1),(335,1)}
       119:{2,3,5,7}:{(84,1),(85,1),(88,1),(95,1),(146,1),(160,1),(166,1)}
       120:{2,4,6}:{(85,1),(87,1),(96,1),(147,1),(160,1),(161,1)}
       121:{2,3,5,6}:{(86,1),(97,1),(148,1),(162,1),(183,1),(241,1),(250,1),(264,1),(317,1)}
       122:{2,4,5,7}:{(86,1),(87,1),(98,1),(149,1),(160,1),(162,1),(163,1),(406,1),(408,1)}
       123:{3,4,5}:{(87,1),(161,1)}
       124:{2,5,6,7}:{(88,1),(90,1),(165,1),(338,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(91,1),(160,1),(165,1),(166,1)}
       126:{3,5,6}:{(89,1),(161,1),(166,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(93,1),(165,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(166,1),(169,1),(170,1),(174,1),(232,1),(256,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       129:{2,4,5,6}:{(92,1),(167,1),(170,1),(171,1),(175,1),(233,1),(257,1),(264,1),(317,1)}
       130:{2,4,5,6,7}:{(93,1),(168,1),(172,1),(246,1),(258,1),(385,1)}
       131:{3,4,6,7}:{(93,1),(94,1),(172,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(100,1),(159,1),(173,1),(180,1),(260,1),(321,1),(372,1),(402,1)}
       133:{1,4,7}:{(95,1),(96,1),(160,1)}
       134:{1,3,4,6}:{(96,1),(99,1),(102,1),(161,1),(174,1),(175,1),(403,1),(407,1)}
       135:{1,4,6}:{(97,1),(98,1),(162,1)}
       136:{1,3,4,5,7}:{(98,1),(99,1),(104,1),(163,1),(174,1),(177,1),(178,1),(260,1)}
       137:{2,4,5}:{(99,1),(105,1),(175,1),(179,1)}
       138:{1,2,4,6,7}:{(100,1),(101,1),(103,1),(165,1),(173,1),(180,1),(259,1),(261,1),(338,1),(385,1)}
       139:{1,3,5,7}:{(101,1),(102,1),(166,1),(174,1),(180,1),(181,1),(374,1),(405,1)}
       140:{2,3,5,6}:{(102,1),(105,1),(175,1),(181,1),(182,1),(183,1),(257,1),(264,1),(330,1)}
       141:{1,3,6}:{(103,1),(104,1),(183,1)}
       142:{2,3,5,7}:{(104,1),(105,1),(106,1),(178,1),(183,1),(184,1)}
       143:{1,3,5}:{(105,1),(107,1),(179,1),(185,1)}
       144:{1,3,4,7}:{(106,1),(107,1),(184,1),(186,1),(262,1),(341,1)}
       145:{1,2,4,6}:{(107,1),(185,1),(186,1),(187,1),(270,1),(272,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(112,1),(119,1),(189,1)}
       147:{1,4,6}:{(109,1),(111,1),(120,1),(189,1)}
       148:{1,3,5,6}:{(110,1),(114,1),(121,1),(191,1),(197,1),(227,1),(306,1)}
       149:{1,4,5,7}:{(110,1),(111,1),(122,1),(189,1),(191,1),(400,1),(401,1)}
       150:{1,3,4,5}:{(111,1),(116,1),(123,1),(190,1),(193,1),(401,1),(412,1)}
       151:{1,2,5,6,7}:{(112,1),(114,1),(124,1),(188,1),(194,1),(301,1),(310,1),(346,1),(366,1),(367,1)}
       152:{1,2,4,5,7}:{(112,1),(113,1),(125,1),(189,1),(194,1),(195,1),(215,1),(273,1),(275,1),(300,1),(304,1),(346,1),(367,1),(394,1),(400,1)}
       153:{1,3,5,6}:{(113,1),(116,1),(126,1),(190,1),(195,1),(196,1),(197,1),(305,1),(396,1)}
       154:{1,2,4,6}:{(114,1),(115,1),(191,1),(197,1),(278,1)}
       155:{1,3,5,7}:{(115,1),(116,1),(117,1),(197,1),(198,1)}
       156:{2,3,5}:{(116,1),(118,1),(193,1),(199,1)}
       157:{2,3,4,7}:{(117,1),(118,1),(198,1),(200,1),(275,1),(360,1)}
       158:{1,3,4,6}:{(118,1),(199,1),(200,1),(201,1),(276,1),(284,1),(349,1),(353,1)}
       159:{2,3,5,6,7}:{(119,1),(121,1),(124,1),(132,1),(188,1),(202,1),(210,1),(224,1),(281,1),(288,1),(302,1),(346,1),(366,1),(395,1),(399,1)}
       160:{2,4,7}:{(119,1),(120,1),(133,1),(189,1),(203,1)}
       161:{3,4,6}:{(120,1),(123,1),(126,1),(203,1)}
       162:{2,4,6}:{(121,1),(122,1),(135,1),(191,1),(206,1)}
       163:{3,4,5,7}:{(122,1),(123,1),(203,1),(206,1),(288,1),(411,1),(412,1)}
       164:{2,3,4,5}:{(123,1),(137,1),(193,1),(204,1),(208,1),(296,1),(412,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(127,1),(210,1)}
       166:{3,5,7}:{(125,1),(126,1),(203,1),(210,1)}
       167:{2,3,5,6}:{(126,1),(129,1),(204,1),(211,1),(212,1),(396,1)}
       168:{1,4,5,6,7}:{(127,1),(130,1),(209,1),(213,1),(216,1),(273,1),(301,1),(365,1)}
       169:{1,3,4,6,7}:{(127,1),(128,1),(131,1),(210,1),(213,1),(214,1),(297,1),(299,1),(365,1),(399,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(211,1),(214,1),(215,1),(218,1),(275,1),(300,1),(302,1),(346,1)}
       171:{1,4,5,6}:{(129,1),(212,1),(215,1),(219,1),(276,1),(306,1),(350,1)}
       172:{3,5,6,7}:{(130,1),(131,1),(288,1),(399,1)}
       173:{1,4,6,7}:{(132,1),(133,1),(135,1),(202,1),(216,1),(409,1)}
       174:{1,3,4,7}:{(133,1),(134,1),(139,1),(203,1),(218,1),(409,1),(411,1)}
       175:{2,4,6}:{(134,1),(137,1),(140,1),(218,1),(219,1)}
       176:{1,4,5,6}:{(135,1),(205,1),(216,1),(220,1),(350,1)}
       177:{1,3,4,6}:{(135,1),(136,1),(141,1),(206,1),(220,1),(221,1)}
       178:{2,4,5,7}:{(136,1),(137,1),(142,1),(218,1),(221,1),(222,1),(302,1)}
       179:{1,4,5}:{(137,1),(143,1),(219,1)}
       180:{1,3,6,7}:{(138,1),(139,1),(141,1),(210,1),(224,1),(399,1)}
       181:{2,3,5,7}:{(139,1),(140,1),(218,1),(224,1),(225,1),(300,1),(302,1),(360,1)}
       182:{1,3,5,6}:{(140,1),(143,1),(219,1),(225,1),(226,1),(227,1),(305,1),(306,1)}
       183:{2,3,6}:{(141,1),(142,1),(221,1),(227,1)}
       184:{1,3,5,7}:{(142,1),(143,1),(144,1),(222,1),(227,1),(228,1)}
       185:{1,2,5}:{(143,1),(145,1)}
       186:{1,2,4,7}:{(144,1),(145,1),(228,1),(230,1)}
       187:{1,2,3,6}:{(145,1),(229,1),(230,1),(305,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(151,1),(159,1),(231,1),(238,1),(268,1),(313,1),(339,1),(386,1)}
       189:{1,4,7}:{(146,1),(147,1),(160,1)}
       190:{1,3,4,6}:{(147,1),(150,1),(153,1),(161,1),(232,1),(233,1),(387,1),(407,1)}
       191:{1,4,6}:{(148,1),(149,1),(162,1)}
       192:{1,3,4,5,7}:{(149,1),(150,1),(155,1),(163,1),(232,1),(235,1),(236,1),(313,1)}
       193:{2,4,5}:{(150,1),(156,1),(233,1),(237,1)}
       194:{1,2,4,6,7}:{(151,1),(152,1),(154,1),(165,1),(231,1),(238,1),(259,1),(314,1),(338,1),(385,1)}
       195:{1,3,5,7}:{(152,1),(153,1),(166,1),(232,1),(238,1),(239,1),(341,1),(405,1)}
       196:{2,3,5,6}:{(153,1),(156,1),(233,1),(239,1),(240,1),(241,1),(257,1),(317,1),(330,1)}
       197:{1,3,6}:{(154,1),(155,1),(241,1)}
       198:{2,3,5,7}:{(155,1),(156,1),(157,1),(236,1),(241,1),(242,1)}
       199:{1,3,5}:{(156,1),(158,1),(237,1),(243,1)}
       200:{1,3,4,7}:{(157,1),(158,1),(242,1),(244,1),(315,1),(374,1)}
       201:{1,2,4,6}:{(158,1),(243,1),(244,1),(245,1),(323,1),(325,1)}
       202:{2,4,6,7}:{(159,1),(160,1),(162,1),(173,1),(231,1),(246,1),(247,1),(406,1)}
       203:{3,4,7}:{(160,1),(161,1),(166,1)}
       204:{2,3,4,6}:{(161,1),(164,1),(167,1),(175,1),(233,1),(248,1),(249,1),(330,1),(407,1)}
       205:{2,4,5,6}:{(162,1),(176,1),(234,1),(246,1),(250,1),(264,1),(317,1)}
       206:{3,4,6}:{(162,1),(163,1),(250,1)}
       207:{2,3,4,5,7}:{(163,1),(164,1),(178,1),(236,1),(248,1),(251,1),(252,1),(327,1),(334,1),(406,1),(408,1)}
       208:{1,3,4,5}:{(164,1),(179,1),(237,1),(249,1),(253,1),(267,1),(320,1)}
       209:{2,4,5,6,7}:{(165,1),(168,1),(246,1),(254,1),(258,1),(336,1)}
       210:{3,6,7}:{(165,1),(166,1)}
       211:{2,3,5,7}:{(166,1),(167,1),(170,1),(248,1),(255,1),(256,1),(405,1)}
       212:{1,3,5,6}:{(167,1),(171,1),(249,1),(256,1),(257,1)}
       213:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(254,1),(258,1),(260,1),(313,1)}
       214:{2,4,6,7}:{(169,1),(170,1),(255,1),(258,1),(259,1),(338,1)}
       215:{1,4,5,7}:{(170,1),(171,1),(256,1),(259,1),(262,1),(315,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(176,1),(246,1),(260,1),(372,1)}
       217:{1,3,4,6,7}:{(173,1),(174,1),(177,1),(180,1),(247,1),(260,1),(261,1)}
       218:{2,4,7}:{(174,1),(175,1),(181,1),(262,1)}
       219:{1,4,6}:{(175,1),(179,1),(182,1),(262,1)}
       220:{1,3,5,6}:{(176,1),(177,1),(250,1),(260,1),(264,1)}
       221:{2,4,6}:{(177,1),(178,1),(183,1),(264,1),(265,1)}
       222:{1,4,5,7}:{(178,1),(179,1),(184,1),(262,1),(265,1),(339,1)}
       223:{1,2,4,5}:{(179,1),(185,1),(253,1),(263,1),(267,1),(272,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(183,1),(261,1),(268,1),(338,1)}
       225:{1,3,5,7}:{(181,1),(182,1),(262,1),(268,1),(269,1),(339,1),(341,1)}
       226:{1,2,5,6}:{(182,1),(185,1),(257,1),(263,1),(269,1),(270,1)}
       227:{1,3,6}:{(183,1),(184,1),(265,1),(270,1)}
       228:{1,2,5,7}:{(184,1),(185,1),(186,1),(270,1)}
       229:{1,2,3,5}:{(185,1),(187,1),(267,1),(272,1)}
       230:{1,2,3,7}:{(186,1),(187,1),(341,1)}
       231:{1,4,6,7}:{(188,1),(189,1),(191,1),(202,1),(273,1),(400,1)}
       232:{1,3,4,7}:{(189,1),(190,1),(195,1),(203,1),(275,1),(400,1),(411,1)}
       233:{2,4,6}:{(190,1),(193,1),(196,1),(275,1),(276,1)}
       234:{1,4,5,6}:{(191,1),(205,1),(273,1),(277,1),(306,1)}
       235:{1,3,4,6}:{(191,1),(192,1),(197,1),(206,1),(277,1),(278,1)}
       236:{2,4,5,7}:{(192,1),(193,1),(198,1),(275,1),(278,1),(279,1),(346,1)}
       237:{1,4,5}:{(193,1),(199,1),(276,1)}
       238:{1,3,6,7}:{(194,1),(195,1),(197,1),(210,1),(281,1),(399,1)}
       239:{2,3,5,7}:{(195,1),(196,1),(275,1),(281,1),(282,1),(300,1),(346,1),(360,1)}
       240:{1,3,5,6}:{(196,1),(199,1),(276,1),(282,1),(283,1),(284,1),(349,1),(350,1)}
       241:{2,3,6}:{(197,1),(198,1),(278,1),(284,1)}
       242:{1,3,5,7}:{(198,1),(199,1),(200,1),(279,1),(284,1),(285,1)}
       243:{1,2,5}:{(199,1),(201,1)}
       244:{1,2,4,7}:{(200,1),(201,1),(285,1),(287,1)}
       245:{1,2,3,6}:{(201,1),(286,1),(287,1),(349,1)}
       246:{2,4,5,7}:{(202,1),(205,1),(216,1),(273,1),(288,1),(302,1),(346,1)}
       247:{3,4,6,7}:{(202,1),(203,1),(206,1),(210,1),(288,1),(399,1),(411,1)}
       248:{2,3,4,7}:{(203,1),(204,1),(211,1),(218,1),(275,1),(290,1),(360,1),(411,1)}
       249:{1,3,4,6}:{(204,1),(208,1),(212,1),(219,1),(276,1),(290,1),(291,1),(305,1),(349,1)}
       250:{3,5,6}:{(205,1),(206,1),(288,1)}
       251:{2,3,4,6}:{(206,1),(207,1),(221,1),(278,1),(293,1),(294,1),(363,1),(397,1)}
       252:{1,3,4,5,7}:{(207,1),(208,1),(222,1),(279,1),(290,1),(294,1),(295,1),(308,1),(352,1),(358,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       253:{2,4,5}:{(208,1),(291,1),(296,1)}
       254:{3,5,6,7}:{(209,1),(210,1),(288,1),(297,1)}
       255:{2,3,6,7}:{(210,1),(211,1),(214,1),(299,1),(399,1)}
       256:{1,3,5,7}:{(211,1),(212,1),(215,1),(290,1),(299,1),(300,1)}
       257:{2,5,6}:{(212,1),(291,1),(300,1)}
       258:{2,5,6,7}:{(213,1),(214,1),(301,1),(302,1),(346,1)}
       259:{1,4,6,7}:{(214,1),(215,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(220,1),(288,1),(302,1)}
       261:{2,4,6,7}:{(217,1),(218,1),(221,1),(224,1),(302,1),(303,1)}
       262:{1,4,7}:{(218,1),(219,1),(225,1)}
       263:{1,2,4,6}:{(219,1),(223,1),(226,1),(291,1),(304,1),(305,1)}
       264:{2,5,6}:{(220,1),(221,1),(302,1),(306,1)}
       265:{1,4,6}:{(221,1),(222,1),(227,1),(306,1)}
       266:{1,2,4,5,7}:{(222,1),(223,1),(228,1),(295,1),(304,1),(307,1),(308,1),(312,1),(367,1),(371,1),(400,1),(401,1)}
       267:{1,3,5}:{(223,1),(296,1),(305,1),(309,1)}
       268:{1,3,6,7}:{(224,1),(225,1),(227,1),(303,1),(310,1)}
       269:{1,2,5,7}:{(225,1),(226,1),(300,1),(304,1),(310,1)}
       270:{1,2,6}:{(227,1),(228,1)}
       271:{1,2,3,5,7}:{(228,1),(229,1),(230,1),(308,1),(311,1),(312,1),(371,1)}
       272:{1,2,4}:{(229,1),(309,1)}
       273:{1,4,5,7}:{(231,1),(234,1),(246,1),(313,1),(339,1)}
       274:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(238,1),(247,1),(313,1),(314,1)}
       275:{2,4,7}:{(232,1),(233,1),(239,1),(315,1)}
       276:{1,4,6}:{(233,1),(237,1),(240,1),(315,1)}
       277:{1,3,5,6}:{(234,1),(235,1),(250,1),(313,1),(317,1)}
       278:{2,4,6}:{(235,1),(236,1),(241,1),(317,1),(318,1)}
       279:{1,4,5,7}:{(236,1),(237,1),(242,1),(315,1),(318,1),(372,1)}
       280:{1,2,4,5}:{(237,1),(243,1),(253,1),(316,1),(320,1),(325,1)}
       281:{2,3,6,7}:{(238,1),(239,1),(241,1),(314,1),(321,1),(338,1)}
       282:{1,3,5,7}:{(239,1),(240,1),(315,1),(321,1),(322,1),(372,1),(374,1)}
       283:{1,2,5,6}:{(240,1),(243,1),(257,1),(316,1),(322,1),(323,1)}
       284:{1,3,6}:{(241,1),(242,1),(318,1),(323,1)}
       285:{1,2,5,7}:{(242,1),(243,1),(244,1),(323,1)}
       286:{1,2,3,5}:{(243,1),(245,1),(320,1),(325,1)}
       287:{1,2,3,7}:{(244,1),(245,1),(374,1)}
       288:{3,5,7}:{(246,1),(247,1),(250,1)}
       289:{2,3,4,6,7}:{(247,1),(248,1),(251,1),(255,1),(261,1),(314,1),(327,1),(328,1),(336,1),(381,1),(406,1)}
       290:{1,3,4,7}:{(248,1),(249,1),(256,1),(262,1),(315,1),(329,1),(341,1),(374,1)}
       291:{2,4,6}:{(249,1),(253,1),(257,1),(329,1),(330,1)}
       292:{3,4,5,6}:{(250,1),(326,1),(331,1),(407,1)}
       293:{2,3,5,6}:{(250,1),(251,1),(264,1),(317,1),(327,1),(331,1),(332,1)}
       294:{1,3,4,6}:{(251,1),(252,1),(265,1),(318,1),(332,1),(333,1),(343,1),(376,1),(387,1),(403,1),(407,1)}
       295:{2,4,5,7}:{(252,1),(253,1),(329,1),(333,1),(334,1),(380,1),(406,1),(408,1)}
       296:{2,3,5}:{(253,1),(267,1),(320,1),(330,1),(335,1)}
       297:{3,4,6,7}:{(254,1),(326,1),(336,1)}
       298:{2,3,5,6,7}:{(254,1),(255,1),(258,1),(327,1),(336,1),(337,1)}
       299:{1,3,6,7}:{(255,1),(256,1),(259,1),(338,1)}
       300:{2,5,7}:{(256,1),(257,1),(329,1),(338,1)}
       301:{1,5,6,7}:{(258,1),(259,1),(339,1),(372,1)}
       302:{2,5,7}:{(260,1),(261,1),(264,1),(339,1)}
       303:{1,4,6,7}:{(261,1),(262,1),(265,1),(268,1),(339,1)}
       304:{1,2,4,7}:{(262,1),(263,1),(269,1),(329,1),(341,1)}
       305:{1,3,6}:{(263,1),(267,1),(330,1),(341,1)}
       306:{1,5,6}:{(264,1),(265,1),(339,1)}
       307:{1,2,4,6}:{(265,1),(266,1),(270,1),(333,1),(342,1),(343,1),(387,1)}
       308:{1,3,5,7}:{(266,1),(267,1),(334,1),(341,1),(343,1),(344,1),(388,1)}
       309:{1,3,4}:{(267,1),(272,1),(335,1)}
       310:{1,2,6,7}:{(268,1),(269,1),(270,1),(338,1)}
       311:{1,2,3,6}:{(270,1),(271,1),(343,1),(345,1)}
       312:{1,2,4,7}:{(271,1),(272,1),(344,1),(345,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(277,1),(288,1),(346,1)}
       314:{2,4,6,7}:{(274,1),(275,1),(278,1),(281,1),(346,1),(347,1)}
       315:{1,4,7}:{(275,1),(276,1),(282,1)}
       316:{1,2,4,6}:{(276,1),(280,1),(283,1),(291,1),(348,1),(349,1)}
       317:{2,5,6}:{(277,1),(278,1),(346,1),(350,1)}
       318:{1,4,6}:{(278,1),(279,1),(284,1),(350,1)}
       319:{1,2,4,5,7}:{(279,1),(280,1),(285,1),(295,1),(348,1),(351,1),(352,1),(356,1),(389,1),(393,1),(409,1),(410,1)}
       320:{1,3,5}:{(280,1),(296,1),(349,1),(353,1)}
       321:{1,3,6,7}:{(281,1),(282,1),(284,1),(347,1),(354,1)}
       322:{1,2,5,7}:{(282,1),(283,1),(300,1),(348,1),(354,1)}
       323:{1,2,6}:{(284,1),(285,1)}
       324:{1,2,3,5,7}:{(285,1),(286,1),(287,1),(352,1),(355,1),(356,1),(393,1)}
       325:{1,2,4}:{(286,1),(353,1)}
       326:{3,4,5,7}:{(288,1),(292,1),(297,1),(357,1),(411,1)}
       327:{2,3,5,7}:{(288,1),(289,1),(293,1),(302,1),(346,1),(357,1),(358,1)}
       328:{1,3,4,6,7}:{(289,1),(290,1),(294,1),(299,1),(303,1),(347,1),(358,1),(359,1),(365,1),(368,1),(390,1),(399,1),(400,1),(409,1),(411,1)}
       329:{2,4,7}:{(290,1),(291,1),(300,1),(360,1)}
       330:{2,3,6}:{(291,1),(296,1),(305,1),(349,1),(360,1)}
       331:{2,4,5,6}:{(292,1),(293,1),(357,1),(361,1),(397,1)}
       332:{1,3,5,6}:{(293,1),(294,1),(306,1),(350,1),(358,1),(361,1),(362,1),(396,1)}
       333:{2,4,6}:{(294,1),(295,1),(362,1),(363,1)}
       334:{2,3,5,7}:{(295,1),(296,1),(308,1),(352,1),(360,1),(363,1),(364,1),(398,1)}
       335:{2,3,4}:{(296,1),(309,1),(353,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(357,1),(365,1)}
       337:{1,3,5,6,7}:{(298,1),(299,1),(301,1),(358,1),(365,1),(366,1),(399,1)}
       338:{2,6,7}:{(299,1),(300,1)}
       339:{1,5,7}:{(302,1),(303,1),(306,1)}
       340:{1,2,4,6,7}:{(303,1),(304,1),(307,1),(310,1),(359,1),(367,1),(368,1),(400,1)}
       341:{1,3,7}:{(304,1),(305,1),(360,1)}
       342:{1,2,5,6}:{(306,1),(307,1),(362,1),(367,1),(369,1),(371,1)}
       343:{1,3,6}:{(307,1),(308,1),(363,1)}
       344:{1,3,4,7}:{(308,1),(309,1),(312,1),(364,1),(370,1),(400,1)}
       345:{1,2,4,6}:{(311,1),(312,1),(370,1),(371,1)}
       346:{2,5,7}:{(313,1),(314,1),(317,1),(372,1)}
       347:{1,4,6,7}:{(314,1),(315,1),(318,1),(321,1),(372,1)}
       348:{1,2,4,7}:{(315,1),(316,1),(322,1),(329,1),(374,1)}
       349:{1,3,6}:{(316,1),(320,1),(330,1),(374,1)}
       350:{1,5,6}:{(317,1),(318,1),(372,1)}
       351:{1,2,4,6}:{(318,1),(319,1),(323,1),(333,1),(375,1),(376,1),(403,1)}
       352:{1,3,5,7}:{(319,1),(320,1),(334,1),(374,1),(376,1),(377,1),(404,1)}
       353:{1,3,4}:{(320,1),(325,1),(335,1)}
       354:{1,2,6,7}:{(321,1),(322,1),(323,1),(338,1)}
       355:{1,2,3,6}:{(323,1),(324,1),(376,1),(378,1)}
       356:{1,2,4,7}:{(324,1),(325,1),(377,1),(378,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(331,1),(336,1),(379,1),(406,1)}
       358:{1,3,5,7}:{(327,1),(328,1),(332,1),(339,1),(372,1),(379,1),(380,1),(405,1)}
       359:{2,4,6,7}:{(328,1),(329,1),(333,1),(338,1),(380,1),(381,1),(406,1)}
       360:{2,3,7}:{(329,1),(330,1),(341,1),(374,1)}
       361:{1,4,5,6}:{(331,1),(332,1),(379,1),(382,1),(387,1),(403,1)}
       362:{2,5,6}:{(332,1),(333,1),(380,1)}
       363:{2,3,6}:{(333,1),(334,1),(343,1),(376,1)}
       364:{2,3,4,7}:{(334,1),(335,1),(344,1),(377,1),(384,1),(406,1)}
       365:{1,4,6,7}:{(336,1),(337,1),(379,1),(385,1)}
       366:{2,5,6,7}:{(337,1),(338,1),(380,1),(385,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(342,1),(380,1),(386,1)}
       368:{1,3,6,7}:{(340,1),(341,1),(343,1),(381,1),(386,1)}
       369:{1,3,5,6}:{(342,1),(343,1),(383,1),(386,1),(387,1),(388,1)}
       370:{1,3,4,6}:{(343,1),(344,1),(345,1),(384,1),(387,1),(388,1)}
       371:{1,2,5}:{(345,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(350,1)}
       373:{1,2,4,6,7}:{(347,1),(348,1),(351,1),(354,1),(359,1),(389,1),(390,1),(409,1)}
       374:{1,3,7}:{(348,1),(349,1),(360,1)}
       375:{1,2,5,6}:{(350,1),(351,1),(362,1),(389,1),(391,1),(393,1)}
       376:{1,3,6}:{(351,1),(352,1),(363,1)}
       377:{1,3,4,7}:{(352,1),(353,1),(356,1),(364,1),(392,1),(409,1)}
       378:{1,2,4,6}:{(355,1),(356,1),(392,1),(393,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(361,1),(365,1),(394,1),(400,1),(409,1)}
       380:{2,5,7}:{(358,1),(359,1),(362,1)}
       381:{2,3,6,7}:{(359,1),(360,1),(363,1),(368,1),(390,1),(395,1),(399,1)}
       382:{2,4,5,6}:{(361,1),(362,1),(394,1),(396,1),(397,1)}
       383:{2,3,5,6}:{(362,1),(363,1),(369,1),(391,1),(395,1),(396,1),(397,1),(398,1)}
       384:{2,3,4,6}:{(363,1),(364,1),(370,1),(392,1),(397,1),(398,1)}
       385:{2,4,6,7}:{(365,1),(366,1),(394,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(395,1),(400,1)}
       387:{1,4,6}:{(369,1),(397,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(398,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(375,1),(380,1),(402,1)}
       390:{1,3,6,7}:{(373,1),(374,1),(376,1),(381,1),(402,1)}
       391:{1,3,5,6}:{(375,1),(376,1),(383,1),(402,1),(403,1),(404,1)}
       392:{1,3,4,6}:{(376,1),(377,1),(378,1),(384,1),(403,1),(404,1)}
       393:{1,2,5}:{(378,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(382,1),(385,1),(405,1),(406,1)}
       395:{2,3,5,7}:{(380,1),(381,1),(383,1),(386,1),(402,1),(405,1),(406,1)}
       396:{3,5,6}:{(382,1),(405,1),(407,1)}
       397:{2,4,6}:{(383,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       398:{2,3,5}:{(384,1),(388,1),(404,1),(408,1)}
       399:{3,6,7}:{(385,1),(405,1)}
       400:{1,4,7}:{(386,1),(387,1),(406,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(395,1),(409,1)}
       403:{1,4,6}:{(391,1),(397,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(398,1),(410,1)}
       405:{3,5,7}:{(394,1),(396,1),(399,1),(411,1)}
       406:{2,4,7}:{(395,1),(397,1),(400,1),(409,1),(411,1)}
       407:{3,4,6}:{(396,1),(397,1),(411,1),(412,1)}
       408:{2,4,5}:{(397,1),(398,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(406,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(407,1),(408,1)}

1806 :   0:{1,2,3,5}:{(2,1),(3,1),(19,1),(20,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(28,1),(67,1)}
         2:{1,2,3,6}:{(0,1),(8,1),(9,1),(36,1)}
         3:{1,2,4}:{(0,1),(7,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(41,1),(42,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(19,1),(41,1),(55,1),(82,1),(88,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(47,1),(89,1)}
         7:{1,3,4}:{(3,1),(13,1),(19,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(20,1),(21,1),(60,1)}
         9:{1,2,3,7}:{(2,1),(21,1),(58,1)}
        10:{1,2,4,5}:{(3,1),(14,1),(19,1),(20,1),(22,1),(55,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(63,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{2,3,4}:{(7,1),(23,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(36,1),(63,1),(77,1),(102,1),(107,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(70,1),(109,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(27,1),(34,1),(35,1),(36,1),(77,1),(80,1)}
        19:{1,3,5}:{(7,1),(10,1),(28,1),(36,1)}
        20:{1,2,5}:{(8,1),(34,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{1,2,4,6}:{(10,1),(29,1),(36,1),(37,1),(39,1),(77,1)}
        23:{1,3,4}:{(12,1),(13,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(40,1),(42,1),(43,1),(87,1)}
        25:{1,2,3,7}:{(11,1),(43,1),(85,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(41,1),(42,1),(44,1),(82,1)}
        27:{2,3,4,6}:{(13,1),(18,1),(40,1),(45,1),(46,1),(47,1),(89,1),(92,1)}
        28:{2,3,5}:{(13,1),(14,1),(19,1),(41,1),(47,1)}
        29:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(58,1),(85,1),(99,1),(118,1),(121,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(89,1),(124,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,5}:{(18,1),(20,1),(45,1),(55,1)}
        35:{1,3,4,7}:{(18,1),(21,1),(46,1),(57,1),(58,1),(99,1)}
        36:{1,3,6}:{(19,1),(22,1),(47,1),(58,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(48,1),(56,1),(59,1),(60,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(57,1),(60,1)}
        39:{1,2,4,7}:{(22,1),(49,1),(58,1),(59,1),(99,1)}
        40:{1,3,4,6}:{(23,1),(24,1),(27,1),(61,1),(62,1),(63,1),(102,1),(105,1)}
        41:{1,3,5}:{(23,1),(26,1),(28,1),(63,1)}
        42:{1,2,5}:{(24,1),(61,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(62,1),(65,1)}
        44:{1,2,4,6}:{(26,1),(29,1),(63,1),(64,1),(66,1),(102,1)}
        45:{2,3,5}:{(27,1),(34,1),(61,1),(67,1)}
        46:{2,3,4,7}:{(27,1),(35,1),(62,1),(69,1),(70,1),(109,1)}
        47:{2,3,6}:{(28,1),(29,1),(36,1),(63,1),(70,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(70,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(77,1),(102,1),(117,1),(130,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(107,1),(132,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(109,1),(133,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,4,5}:{(34,1),(67,1),(77,1)}
        56:{1,3,5,6}:{(34,1),(36,1),(37,1),(68,1),(77,1),(79,1),(80,1),(117,1)}
        57:{1,3,5,7}:{(34,1),(35,1),(38,1),(69,1),(78,1),(80,1)}
        58:{1,3,7}:{(36,1),(39,1),(70,1)}
        59:{1,2,5,7}:{(37,1),(39,1),(72,1),(79,1),(81,1)}
        60:{1,2,6}:{(38,1),(80,1)}
        61:{1,3,5}:{(40,1),(42,1),(45,1),(82,1)}
        62:{1,3,4,7}:{(40,1),(43,1),(46,1),(84,1),(85,1),(118,1)}
        63:{1,3,6}:{(41,1),(44,1),(47,1),(85,1)}
        64:{1,2,5,6}:{(42,1),(44,1),(48,1),(83,1),(86,1),(87,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(84,1),(87,1)}
        66:{1,2,4,7}:{(44,1),(49,1),(85,1),(86,1),(118,1)}
        67:{2,4,5}:{(45,1),(55,1),(82,1),(88,1),(89,1)}
        68:{2,3,5,6}:{(45,1),(47,1),(48,1),(56,1),(83,1),(89,1),(91,1),(92,1),(93,1),(124,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(57,1),(84,1),(90,1),(92,1)}
        70:{2,3,7}:{(47,1),(49,1),(58,1),(85,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(89,1),(93,1),(94,1),(124,1),(137,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(99,1),(118,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(121,1),(136,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,6}:{(55,1),(56,1),(89,1),(99,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(90,1),(99,1),(100,1),(128,1)}
        79:{1,3,5,7}:{(56,1),(58,1),(59,1),(91,1),(99,1),(101,1),(128,1)}
        80:{1,3,6}:{(57,1),(60,1),(92,1),(100,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(101,1)}
        82:{1,4,5}:{(61,1),(67,1),(102,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(64,1),(68,1),(102,1),(104,1),(105,1),(130,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(65,1),(69,1),(103,1),(105,1)}
        85:{1,3,7}:{(63,1),(66,1),(70,1)}
        86:{1,2,5,7}:{(64,1),(66,1),(72,1),(104,1),(106,1)}
        87:{1,2,6}:{(65,1),(105,1)}
        88:{3,4,5}:{(67,1),(107,1)}
        89:{2,4,6}:{(67,1),(68,1),(77,1),(102,1),(107,1),(109,1)}
        90:{2,4,5,7}:{(67,1),(69,1),(78,1),(103,1),(108,1),(109,1),(110,1),(133,1)}
        91:{2,3,5,7}:{(68,1),(70,1),(72,1),(79,1),(104,1),(109,1),(111,1),(112,1),(133,1)}
        92:{2,3,6}:{(69,1),(80,1),(105,1),(110,1)}
        93:{3,5,6}:{(71,1),(107,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(109,1),(112,1),(113,1),(133,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(133,1)}
        99:{1,4,7}:{(77,1),(79,1),(109,1)}
       100:{1,4,6}:{(78,1),(80,1),(110,1),(117,1)}
       101:{1,3,6,7}:{(79,1),(80,1),(81,1),(111,1),(116,1)}
       102:{1,4,6}:{(82,1),(83,1),(89,1),(118,1)}
       103:{1,4,5,7}:{(82,1),(84,1),(90,1),(118,1),(119,1),(135,1)}
       104:{1,3,5,7}:{(83,1),(85,1),(86,1),(91,1),(118,1),(120,1),(135,1)}
       105:{1,3,6}:{(84,1),(87,1),(92,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(120,1)}
       107:{3,4,6}:{(88,1),(89,1),(93,1),(121,1)}
       108:{3,4,5,7}:{(88,1),(90,1),(121,1),(122,1),(136,1)}
       109:{2,4,7}:{(89,1),(91,1),(99,1),(118,1),(121,1)}
       110:{2,4,6}:{(90,1),(92,1),(100,1),(119,1),(122,1),(124,1)}
       111:{2,3,6,7}:{(91,1),(92,1),(95,1),(101,1),(120,1),(123,1),(125,1)}
       112:{3,5,7}:{(93,1),(94,1),(121,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(136,1)}
       116:{1,4,6,7}:{(99,1),(100,1),(101,1),(123,1),(128,1)}
       117:{1,5,6}:{(100,1),(124,1),(128,1)}
       118:{1,4,7}:{(102,1),(104,1),(109,1)}
       119:{1,4,6}:{(103,1),(105,1),(110,1),(130,1)}
       120:{1,3,6,7}:{(104,1),(105,1),(106,1),(111,1),(129,1)}
       121:{3,4,7}:{(107,1),(109,1),(112,1)}
       122:{3,4,6}:{(108,1),(110,1),(132,1)}
       123:{2,4,6,7}:{(109,1),(110,1),(111,1),(116,1),(129,1),(131,1),(133,1)}
       124:{2,5,6}:{(110,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(133,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(133,1)}
       129:{1,4,6,7}:{(118,1),(119,1),(120,1),(123,1),(135,1)}
       130:{1,5,6}:{(119,1),(124,1),(135,1)}
       131:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(136,1),(138,1)}
       132:{3,5,6}:{(122,1),(124,1),(136,1),(137,1)}
       133:{2,5,7}:{(123,1),(124,1),(128,1),(135,1),(136,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(136,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(133,1)}
       136:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       137:{4,5,6}:{(132,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

1807 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(40,1),(48,1),(79,1),(87,1),(89,1),(92,1),(144,1),(185,1),(189,1),(224,1),(225,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(63,1),(105,1),(118,1),(161,1),(168,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(63,1),(67,1),(106,1),(115,1),(161,1),(167,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(60,1),(108,1),(114,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(41,1),(78,1),(134,1),(141,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(42,1),(92,1),(144,1),(189,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(226,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(38,1),(84,1),(87,1),(88,1),(89,1),(144,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(65,1),(103,1),(119,1),(160,1),(168,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(54,1),(56,1),(63,1),(103,1),(111,1),(168,1),(169,1),(209,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(166,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(114,1),(209,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(207,1),(210,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(63,1),(115,1),(116,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(60,1),(123,1),(235,1),(236,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(60,1),(70,1),(114,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(43,1),(76,1),(90,1),(141,1),(148,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(189,1),(220,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(33,1),(35,1),(36,1),(139,1),(189,1),(192,1)}
        21:{2,3,4,6}:{(16,1),(37,1),(38,1),(39,1),(84,1),(88,1),(146,1),(193,1),(226,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(40,1),(41,1),(134,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(36,1),(41,1),(42,1),(44,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(42,1),(43,1),(84,1),(144,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(41,1),(44,1),(45,1),(80,1),(85,1),(140,1),(150,1),(190,1),(195,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(90,1),(94,1)}
        28:{2,4,5}:{(15,1),(16,1),(38,1),(48,1),(87,1),(146,1)}
        29:{1,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(87,1),(144,1)}
        31:{1,2,4,5,6}:{(32,1),(50,1),(75,1),(97,1),(133,1),(147,1),(153,1),(182,1),(189,1),(194,1),(196,1),(197,1),(220,1),(227,1),(244,1)}
        32:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(52,1),(100,1),(103,1),(119,1),(158,1),(167,1),(173,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(20,1),(52,1),(166,1),(173,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(209,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1),(56,1),(63,1),(103,1)}
        36:{3,4,6,7}:{(20,1),(56,1),(109,1),(209,1),(210,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(58,1),(59,1),(116,1),(171,1),(210,1)}
        38:{2,3,5}:{(21,1),(28,1),(60,1),(212,1),(236,1)}
        39:{1,3,4,6}:{(21,1),(29,1),(59,1),(60,1),(61,1),(70,1),(108,1),(114,1),(123,1),(165,1),(208,1)}
        40:{1,4,5,6}:{(22,1),(55,1),(62,1),(160,1),(166,1),(213,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(56,1),(62,1),(63,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(26,1),(63,1),(64,1),(66,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(64,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(25,1),(62,1),(66,1),(109,1),(114,1),(166,1),(209,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(28,1),(58,1),(63,1),(66,1),(67,1),(115,1),(171,1),(212,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,5,7}:{(27,1),(30,1),(65,1),(68,1),(115,1)}
        48:{1,4,5}:{(28,1),(29,1),(60,1),(165,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(61,1),(68,1),(69,1),(70,1)}
        50:{1,3,5,6}:{(31,1),(51,1),(71,1),(72,1),(175,1),(201,1),(209,1),(215,1),(236,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(50,1),(73,1),(74,1),(190,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(35,1),(75,1),(76,1),(90,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(36,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{2,4,5,6}:{(35,1),(40,1),(75,1),(81,1),(89,1),(133,1),(139,1),(189,1),(227,1)}
        56:{3,5,7}:{(35,1),(36,1),(81,1)}
        57:{2,3,4,6,7}:{(36,1),(37,1),(42,1),(77,1),(82,1),(83,1),(84,1),(128,1),(139,1),(143,1),(179,1),(192,1),(193,1),(226,1),(240,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(84,1),(85,1),(190,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(94,1),(137,1),(188,1)}
        60:{1,3,5}:{(38,1),(39,1),(48,1),(87,1),(225,1)}
        61:{2,4,6}:{(39,1),(86,1),(87,1),(88,1),(144,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(81,1),(89,1),(195,1)}
        63:{2,5,7}:{(41,1),(42,1),(89,1),(90,1)}
        64:{1,4,6,7}:{(42,1),(43,1),(46,1),(90,1),(92,1)}
        65:{1,2,6,7}:{(43,1),(47,1),(144,1)}
        66:{2,4,6}:{(44,1),(45,1),(84,1),(89,1),(92,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(48,1),(85,1),(90,1),(92,1),(188,1),(225,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(86,1),(94,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(87,1),(95,1),(146,1)}
        70:{1,3,6}:{(49,1),(88,1),(94,1),(95,1)}
        71:{1,3,4,6}:{(50,1),(73,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(74,1),(97,1),(98,1),(133,1),(151,1),(179,1),(197,1),(198,1),(220,1)}
        73:{1,3,4,7}:{(51,1),(71,1),(100,1),(173,1),(210,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(72,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(55,1),(102,1),(118,1),(166,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(56,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(61,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{3,4,5,7}:{(56,1),(109,1),(110,1),(210,1),(236,1)}
        81:{3,5,6}:{(55,1),(56,1),(109,1),(209,1),(236,1)}
        82:{2,3,5,7}:{(56,1),(57,1),(63,1),(103,1),(110,1),(111,1),(112,1),(212,1),(236,1),(243,1)}
        83:{1,3,4,6,7}:{(57,1),(59,1),(64,1),(104,1),(112,1),(113,1),(114,1),(120,1),(156,1),(162,1),(166,1),(173,1),(174,1),(201,1),(207,1),(208,1),(209,1),(210,1),(234,1),(242,1)}
        84:{2,3,6}:{(58,1),(66,1),(114,1),(209,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(114,1),(115,1)}
        86:{2,4,7}:{(59,1),(61,1),(115,1),(116,1)}
        87:{2,5}:{(60,1),(61,1)}
        88:{2,3,6}:{(61,1),(70,1),(108,1),(116,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(212,1)}
        90:{1,5,7}:{(63,1),(64,1),(118,1)}
        91:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(113,1),(119,1),(120,1),(121,1),(173,1),(200,1),(230,1),(242,1)}
        92:{1,4,6}:{(66,1),(67,1),(114,1),(118,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(115,1),(119,1),(121,1),(122,1),(167,1),(171,1),(173,1),(212,1),(213,1)}
        94:{1,3,7}:{(68,1),(70,1),(116,1)}
        95:{1,3,5}:{(69,1),(70,1),(117,1),(123,1)}
        96:{1,3,4,5}:{(71,1),(125,1),(175,1),(213,1),(217,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(100,1),(125,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(101,1),(126,1),(127,1),(160,1),(175,1),(178,1),(201,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(96,1),(129,1),(130,1),(140,1),(180,1),(190,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(97,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(98,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(81,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(86,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(87,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(88,1),(137,1),(138,1)}
       109:{3,4,6}:{(80,1),(81,1),(139,1)}
       110:{2,4,5,7}:{(80,1),(82,1),(139,1),(140,1),(192,1),(227,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(84,1),(89,1),(133,1),(139,1),(141,1),(179,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(90,1),(134,1),(140,1),(141,1),(142,1),(190,1),(195,1),(225,1),(241,1),(244,1)}
       113:{2,4,6,7}:{(83,1),(86,1),(142,1),(143,1),(144,1),(181,1),(189,1),(192,1),(193,1),(220,1),(240,1)}
       114:{1,3,6}:{(84,1),(85,1),(92,1),(144,1)}
       115:{2,5,7}:{(85,1),(86,1),(87,1),(144,1)}
       116:{2,3,7}:{(86,1),(88,1),(94,1),(137,1)}
       117:{2,3,5}:{(87,1),(88,1),(95,1),(138,1),(146,1)}
       118:{1,5,6}:{(89,1),(90,1),(92,1),(225,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(142,1),(147,1),(148,1),(244,1)}
       120:{1,3,6,7}:{(91,1),(94,1),(143,1),(148,1),(149,1),(219,1),(238,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(144,1),(147,1),(149,1),(189,1),(193,1),(194,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(95,1),(145,1),(149,1),(150,1),(190,1),(195,1)}
       123:{1,3,4}:{(95,1),(146,1)}
       124:{2,3,4,6}:{(97,1),(128,1),(151,1),(152,1),(179,1),(198,1),(226,1),(229,1),(240,1)}
       125:{2,4,5}:{(96,1),(97,1),(151,1),(153,1),(197,1),(229,1)}
       126:{1,4,6}:{(97,1),(98,1),(131,1),(153,1)}
       127:{1,2,5,6}:{(98,1),(132,1),(154,1),(197,1),(220,1)}
       128:{2,3,4,7}:{(100,1),(124,1),(155,1),(156,1),(203,1),(210,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(109,1),(157,1),(166,1),(201,1),(209,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(125,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(126,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(127,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(113,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(115,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(116,1)}
       138:{1,3,5}:{(107,1),(108,1),(117,1),(165,1)}
       139:{2,4,6}:{(109,1),(110,1),(111,1),(166,1)}
       140:{1,4,5,7}:{(110,1),(112,1),(166,1),(167,1),(173,1),(207,1),(213,1),(235,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(160,1),(166,1),(168,1),(201,1),(209,1)}
       142:{2,5,7}:{(112,1),(113,1),(168,1),(212,1),(243,1)}
       143:{2,3,6,7}:{(113,1),(116,1),(120,1),(162,1),(169,1),(170,1),(203,1),(209,1),(232,1)}
       144:{2,6}:{(114,1),(115,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(122,1),(164,1),(170,1),(171,1),(212,1)}
       146:{2,4}:{(117,1),(123,1),(165,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(121,1),(168,1),(172,1),(212,1),(230,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(169,1),(172,1),(173,1)}
       149:{1,3,6}:{(121,1),(122,1),(170,1),(209,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(171,1),(173,1),(174,1),(210,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,3,4,6}:{(124,1),(126,1),(156,1),(175,1),(176,1),(178,1),(201,1),(215,1),(217,1),(237,1),(242,1)}
       153:{1,4,5}:{(125,1),(126,1),(175,1),(237,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(159,1),(176,1),(177,1),(178,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(151,1),(179,1),(180,1),(190,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(152,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(153,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(154,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(142,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(143,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(144,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(146,1)}
       166:{1,4,6}:{(139,1),(140,1),(141,1),(189,1)}
       167:{2,4,5,7}:{(140,1),(142,1),(189,1),(190,1),(192,1),(227,1)}
       168:{2,5,6}:{(141,1),(142,1),(144,1),(189,1),(220,1)}
       169:{2,3,5,7}:{(142,1),(143,1),(148,1),(186,1),(190,1),(191,1),(192,1)}
       170:{2,3,6}:{(144,1),(145,1),(149,1),(187,1),(193,1)}
       171:{2,4,7}:{(145,1),(146,1),(150,1),(188,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(149,1),(191,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,4,7}:{(148,1),(192,1),(194,1)}
       174:{1,3,4,6}:{(149,1),(150,1),(193,1),(194,1),(195,1),(226,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(197,1),(244,1)}
       176:{2,4,6}:{(152,1),(181,1),(197,1),(198,1),(220,1),(229,1)}
       177:{1,2,4,5}:{(153,1),(154,1),(197,1),(199,1),(229,1)}
       178:{1,3,6}:{(154,1),(184,1),(198,1),(199,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(209,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(175,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(176,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(177,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(178,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(168,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(169,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(170,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(171,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       190:{3,5,7}:{(167,1),(209,1),(210,1),(236,1)}
       191:{2,3,5,6}:{(168,1),(169,1),(170,1),(172,1),(206,1),(209,1),(211,1),(212,1),(232,1),(236,1),(243,1)}
       192:{2,4,7}:{(169,1),(173,1),(207,1),(210,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(208,1),(212,1)}
       194:{1,4,6}:{(172,1),(173,1),(211,1),(213,1)}
       195:{1,3,5}:{(174,1),(212,1),(213,1),(236,1)}
       196:{1,2,4,6}:{(176,1),(200,1),(214,1),(215,1),(230,1),(237,1),(242,1)}
       197:{2,5}:{(175,1),(176,1)}
       198:{2,3,6}:{(176,1),(178,1),(203,1),(215,1),(216,1)}
       199:{1,3,5}:{(177,1),(178,1),(216,1),(217,1)}
       200:{1,2,4,7}:{(181,1),(196,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(197,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(198,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(189,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(190,1),(199,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(191,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(192,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(193,1),(225,1)}
       209:{3,6}:{(189,1),(190,1)}
       210:{3,4,7}:{(190,1),(192,1),(226,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(224,1),(226,1),(227,1)}
       212:{2,5}:{(193,1),(195,1),(225,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(197,1),(228,1),(244,1)}
       215:{1,3,6}:{(196,1),(198,1),(219,1),(228,1)}
       216:{2,3,5}:{(197,1),(198,1),(199,1),(228,1),(229,1)}
       217:{1,3,4}:{(199,1),(229,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(214,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(215,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(216,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(209,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(210,1),(217,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(211,1),(235,1)}
       225:{1,5}:{(208,1),(212,1)}
       226:{3,4,6}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4,5}:{(211,1),(212,1),(213,1),(235,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(216,1),(237,1)}
       229:{2,4}:{(216,1),(217,1),(237,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(228,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(229,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(226,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(237,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(236,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1808 :   0:{1,2,5,6,7}:{(1,1),(2,1),(48,1),(86,1),(101,1),(143,1),(151,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(29,1),(60,1),(114,1),(122,1),(172,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(128,1),(177,1),(183,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(28,1),(33,1),(73,1),(78,1),(128,1),(133,1),(134,1),(171,1),(177,1),(183,1),(218,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(84,1),(102,1),(142,1),(151,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(48,1),(84,1),(93,1),(151,1),(152,1),(202,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(45,1),(48,1),(99,1),(143,1),(150,1),(153,1),(155,1),(197,1)}
         7:{1,4,6,7}:{(1,1),(13,1),(15,1),(149,1),(197,1)}
         8:{1,3,6,7}:{(2,1),(14,1),(17,1),(154,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(14,1),(18,1),(19,1),(104,1),(154,1),(162,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(21,1),(22,1),(31,1),(58,1),(74,1),(122,1),(132,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(59,1),(168,1),(177,1),(214,1)}
        12:{1,2,4,5,6}:{(20,1),(23,1),(57,1),(62,1),(113,1),(118,1),(131,1),(168,1),(173,1),(174,1),(177,1),(187,1),(214,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(21,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(9,1),(26,1),(27,1),(178,1),(182,1)}
        15:{1,4,5,7}:{(7,1),(24,1),(28,1),(29,1),(114,1)}
        16:{1,3,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(29,1),(30,1),(69,1)}
        17:{2,3,6,7}:{(8,1),(27,1),(30,1),(31,1),(125,1),(183,1)}
        18:{1,3,4,6}:{(9,1),(26,1),(32,1),(33,1),(218,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(33,1),(34,1),(73,1),(76,1),(125,1),(134,1),(135,1),(183,1)}
        20:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(36,1),(81,1),(84,1),(102,1),(140,1),(150,1),(160,1),(190,1),(192,1)}
        21:{1,4,6,7}:{(10,1),(13,1),(36,1),(149,1),(160,1)}
        22:{1,3,6,7}:{(11,1),(35,1),(38,1),(191,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(35,1),(39,1),(40,1),(145,1),(191,1),(199,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(15,1),(36,1),(41,1),(42,1),(48,1),(84,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(203,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(45,1),(197,1),(203,1)}
        27:{2,3,5,7}:{(14,1),(17,1),(19,1),(45,1),(46,1),(48,1),(155,1),(156,1)}
        28:{1,4,5,6}:{(15,1),(41,1),(47,1),(142,1),(149,1),(210,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1)}
        30:{2,4,6,7}:{(16,1),(17,1),(45,1),(48,1),(49,1),(98,1)}
        31:{1,3,6,7}:{(17,1),(46,1),(49,1),(50,1),(154,1)}
        32:{1,3,4,5}:{(18,1),(52,1),(104,1),(164,1),(232,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(45,1),(52,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(46,1),(53,1),(54,1),(101,1),(104,1),(107,1),(154,1)}
        35:{1,3,5,7}:{(20,1),(22,1),(23,1),(55,1),(56,1),(178,1),(213,1)}
        36:{1,4,5,7}:{(21,1),(24,1),(57,1),(58,1),(74,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(55,1),(58,1),(59,1),(109,1)}
        38:{2,3,6,7}:{(22,1),(56,1),(59,1),(60,1),(165,1),(214,1)}
        39:{1,3,4,6}:{(23,1),(55,1),(61,1),(62,1),(187,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(56,1),(62,1),(63,1),(113,1),(116,1),(165,1),(174,1),(175,1),(214,1)}
        41:{2,4,5,6}:{(24,1),(28,1),(57,1),(65,1),(73,1),(113,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(65,1)}
        43:{2,3,4,6,7}:{(25,1),(30,1),(59,1),(66,1),(67,1),(68,1),(108,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(225,1),(239,1)}
        44:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(64,1),(69,1),(70,1),(121,1),(126,1),(178,1),(186,1),(226,1)}
        45:{2,4,7}:{(26,1),(27,1),(33,1),(71,1)}
        46:{1,3,5,7}:{(27,1),(31,1),(34,1),(71,1),(72,1),(74,1),(130,1)}
        47:{1,3,5,6}:{(28,1),(29,1),(65,1),(69,1),(73,1),(226,1)}
        48:{2,5,7}:{(29,1),(30,1),(73,1),(74,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(71,1),(74,1),(128,1)}
        50:{1,2,6,7}:{(31,1),(72,1),(183,1)}
        51:{2,3,4,6}:{(33,1),(68,1),(76,1),(77,1),(125,1),(135,1),(189,1),(221,1),(225,1)}
        52:{2,4,5}:{(32,1),(33,1),(76,1),(78,1),(134,1),(189,1)}
        53:{1,4,6}:{(33,1),(34,1),(71,1),(78,1)}
        54:{1,2,5,6}:{(34,1),(72,1),(79,1),(134,1),(183,1)}
        55:{1,3,4,7}:{(35,1),(39,1),(81,1),(160,1),(203,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(40,1),(81,1),(82,1),(84,1),(192,1),(193,1)}
        57:{1,4,5,6}:{(36,1),(41,1),(83,1),(101,1),(149,1),(232,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(42,1),(83,1),(84,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(81,1),(84,1),(85,1),(139,1)}
        60:{1,3,6,7}:{(38,1),(82,1),(85,1),(86,1),(191,1)}
        61:{1,3,4,5}:{(39,1),(88,1),(145,1),(201,1),(210,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(81,1),(88,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(82,1),(89,1),(90,1),(142,1),(145,1),(148,1),(191,1)}
        64:{3,4,5,7}:{(42,1),(91,1),(92,1),(203,1),(234,1)}
        65:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(48,1),(84,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(49,1),(85,1),(94,1),(95,1),(97,1),(103,1),(138,1),(144,1),(149,1),(154,1),(160,1),(191,1),(197,1),(202,1),(203,1),(209,1),(231,1),(235,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(51,1),(96,1),(97,1),(156,1),(203,1),(208,1)}
        69:{1,3,4,6}:{(44,1),(47,1),(91,1),(98,1),(149,1),(154,1),(202,1)}
        70:{2,4,5,7}:{(44,1),(45,1),(48,1),(52,1),(96,1),(98,1),(99,1),(155,1),(208,1),(236,1)}
        71:{1,4,7}:{(45,1),(46,1),(53,1)}
        72:{1,2,5,7}:{(46,1),(50,1),(54,1),(100,1),(155,1)}
        73:{2,5,6}:{(47,1),(48,1),(98,1),(101,1),(236,1)}
        74:{1,5,7}:{(48,1),(49,1),(101,1)}
        75:{1,2,4,6,7}:{(49,1),(50,1),(95,1),(100,1),(102,1),(103,1),(157,1),(160,1),(190,1),(227,1),(242,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,3,4,6}:{(51,1),(53,1),(97,1),(104,1),(105,1),(107,1),(154,1),(162,1),(164,1),(211,1),(235,1)}
        78:{1,4,5}:{(52,1),(53,1),(104,1),(211,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(100,1),(105,1),(106,1),(107,1)}
        80:{1,3,4,5,7}:{(55,1),(58,1),(61,1),(64,1),(109,1),(110,1),(121,1),(166,1),(178,1),(217,1),(240,1)}
        81:{2,4,7}:{(55,1),(56,1),(62,1),(111,1)}
        82:{1,3,5,7}:{(56,1),(60,1),(63,1),(111,1),(112,1),(114,1),(170,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(65,1),(109,1),(113,1),(240,1)}
        84:{2,5,7}:{(58,1),(59,1),(113,1),(114,1)}
        85:{1,4,6,7}:{(59,1),(60,1),(111,1),(114,1),(168,1)}
        86:{1,2,6,7}:{(60,1),(112,1),(214,1)}
        87:{2,3,4,6}:{(62,1),(108,1),(116,1),(117,1),(165,1),(175,1),(220,1),(221,1),(239,1)}
        88:{2,4,5}:{(61,1),(62,1),(116,1),(118,1),(174,1),(220,1)}
        89:{1,4,6}:{(62,1),(63,1),(111,1),(118,1)}
        90:{1,2,5,6}:{(63,1),(112,1),(119,1),(174,1),(214,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,4,5,7}:{(64,1),(66,1),(120,1),(121,1),(180,1),(222,1)}
        93:{2,3,5,6}:{(65,1),(66,1),(73,1),(113,1),(120,1),(122,1),(125,1),(165,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(74,1),(114,1),(121,1),(122,1),(123,1),(178,1),(226,1),(240,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(127,1),(167,1),(177,1),(180,1),(183,1),(214,1),(225,1),(239,1)}
        96:{2,3,5,7}:{(68,1),(70,1),(76,1),(125,1),(126,1),(178,1)}
        97:{1,3,4,7}:{(68,1),(71,1),(77,1),(126,1),(127,1),(130,1),(182,1),(224,1)}
        98:{2,4,6}:{(69,1),(70,1),(73,1),(125,1),(128,1),(183,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(78,1),(126,1),(128,1),(224,1),(241,1)}
       100:{1,2,4,7}:{(71,1),(72,1),(79,1),(127,1),(130,1)}
       101:{1,5,6}:{(73,1),(74,1),(128,1),(241,1)}
       102:{1,2,5,7}:{(74,1),(75,1),(123,1),(131,1),(132,1),(244,1)}
       103:{1,3,6,7}:{(75,1),(124,1),(130,1),(132,1),(185,1),(213,1),(237,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(134,1),(241,1)}
       105:{2,4,6}:{(77,1),(127,1),(134,1),(135,1),(183,1),(189,1)}
       106:{1,2,4,5}:{(78,1),(79,1),(134,1),(136,1),(189,1)}
       107:{1,3,6}:{(79,1),(130,1),(135,1),(136,1)}
       108:{2,3,4,7}:{(81,1),(87,1),(137,1),(138,1),(193,1),(203,1),(230,1)}
       109:{1,3,4,6}:{(80,1),(83,1),(91,1),(139,1),(149,1),(191,1),(202,1)}
       110:{2,4,5,7}:{(80,1),(81,1),(84,1),(88,1),(137,1),(139,1),(140,1),(192,1),(230,1),(243,1)}
       111:{1,4,7}:{(81,1),(82,1),(89,1)}
       112:{1,2,5,7}:{(82,1),(86,1),(90,1),(141,1),(192,1)}
       113:{2,5,6}:{(83,1),(84,1),(139,1),(142,1),(243,1)}
       114:{1,5,7}:{(84,1),(85,1),(142,1)}
       115:{1,2,4,6,7}:{(85,1),(86,1),(95,1),(141,1),(143,1),(144,1),(153,1),(194,1),(197,1),(205,1),(235,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,3,4,6}:{(87,1),(89,1),(138,1),(145,1),(146,1),(148,1),(191,1),(199,1),(201,1),(233,1),(242,1)}
       118:{1,4,5}:{(88,1),(89,1),(145,1),(233,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(141,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,4,5,7}:{(92,1),(94,1),(149,1),(150,1),(160,1),(197,1),(210,1),(232,1)}
       122:{1,3,5,6}:{(93,1),(94,1),(101,1),(142,1),(149,1),(151,1),(154,1),(191,1),(202,1)}
       123:{2,5,7}:{(94,1),(95,1),(151,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(103,1),(144,1),(152,1),(156,1),(193,1),(202,1),(207,1),(229,1)}
       125:{2,3,6}:{(96,1),(98,1),(154,1),(202,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(99,1),(104,1),(154,1),(155,1)}
       127:{2,4,7}:{(97,1),(105,1),(155,1),(156,1)}
       128:{1,4,6}:{(98,1),(99,1),(101,1),(154,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(102,1),(106,1),(150,1),(155,1),(157,1),(158,1),(160,1),(208,1),(210,1),(236,1)}
       130:{1,3,7}:{(100,1),(107,1),(156,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(151,1),(157,1),(159,1),(227,1),(236,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(152,1),(159,1),(160,1)}
       133:{1,2,4,6}:{(105,1),(153,1),(161,1),(162,1),(205,1),(211,1),(235,1)}
       134:{2,5}:{(104,1),(105,1)}
       135:{2,3,6}:{(105,1),(107,1),(156,1),(162,1),(163,1)}
       136:{1,3,5}:{(106,1),(107,1),(163,1),(164,1)}
       137:{2,3,5,7}:{(108,1),(110,1),(116,1),(165,1),(166,1),(178,1)}
       138:{1,3,4,7}:{(108,1),(111,1),(117,1),(166,1),(167,1),(170,1),(213,1),(238,1)}
       139:{2,4,6}:{(109,1),(110,1),(113,1),(165,1),(168,1),(214,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(118,1),(166,1),(168,1),(238,1),(244,1)}
       141:{1,2,4,7}:{(111,1),(112,1),(119,1),(167,1),(170,1)}
       142:{1,5,6}:{(113,1),(114,1),(168,1),(244,1)}
       143:{1,2,5,7}:{(114,1),(115,1),(123,1),(171,1),(172,1),(241,1)}
       144:{1,3,6,7}:{(115,1),(124,1),(170,1),(172,1),(182,1),(216,1),(223,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(174,1),(244,1)}
       146:{2,4,6}:{(117,1),(167,1),(174,1),(175,1),(214,1),(220,1)}
       147:{1,2,4,5}:{(118,1),(119,1),(174,1),(176,1),(220,1)}
       148:{1,3,6}:{(119,1),(170,1),(175,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,4,5,7}:{(121,1),(123,1),(177,1),(178,1),(180,1),(222,1)}
       151:{2,5,6}:{(122,1),(123,1),(177,1),(183,1),(214,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(132,1),(172,1),(178,1),(179,1),(180,1)}
       153:{1,2,4,7}:{(127,1),(133,1),(181,1),(182,1),(224,1)}
       154:{1,3,6}:{(125,1),(126,1),(128,1),(183,1)}
       155:{2,5,7}:{(126,1),(127,1),(134,1),(183,1)}
       156:{2,3,7}:{(127,1),(130,1),(135,1),(182,1)}
       157:{1,2,4,6}:{(128,1),(129,1),(131,1),(177,1),(183,1),(185,1),(187,1),(225,1)}
       158:{1,3,5,7}:{(129,1),(130,1),(136,1),(178,1),(184,1),(185,1),(186,1),(226,1)}
       159:{1,3,5,6}:{(131,1),(132,1),(179,1),(185,1),(187,1),(226,1),(237,1),(244,1)}
       160:{1,4,7}:{(132,1),(180,1),(187,1)}
       161:{1,2,5}:{(133,1),(134,1),(188,1),(241,1)}
       162:{1,3,6}:{(133,1),(135,1),(182,1),(188,1)}
       163:{2,3,5}:{(134,1),(135,1),(136,1),(188,1),(189,1)}
       164:{1,3,4}:{(136,1),(189,1)}
       165:{2,3,6}:{(137,1),(139,1),(191,1),(202,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(140,1),(145,1),(191,1),(192,1)}
       167:{2,4,7}:{(138,1),(146,1),(192,1),(193,1)}
       168:{1,4,6}:{(139,1),(140,1),(142,1),(191,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(143,1),(147,1),(150,1),(192,1),(194,1),(195,1),(197,1),(230,1),(232,1),(243,1)}
       170:{1,3,7}:{(141,1),(148,1),(193,1)}
       171:{1,2,5,6}:{(142,1),(143,1),(151,1),(194,1),(196,1),(205,1),(243,1)}
       172:{1,3,5,7}:{(143,1),(144,1),(152,1),(196,1),(197,1)}
       173:{1,2,4,6}:{(146,1),(190,1),(198,1),(199,1),(227,1),(233,1),(242,1)}
       174:{2,5}:{(145,1),(146,1)}
       175:{2,3,6}:{(146,1),(148,1),(193,1),(199,1),(200,1)}
       176:{1,3,5}:{(147,1),(148,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{3,5,7}:{(150,1),(202,1),(203,1),(234,1)}
       179:{2,3,5,6}:{(151,1),(152,1),(159,1),(196,1),(202,1),(204,1),(207,1),(229,1),(234,1),(236,1),(243,1)}
       180:{2,4,7}:{(152,1),(160,1),(197,1),(203,1),(204,1)}
       181:{1,2,5,7}:{(153,1),(155,1),(161,1),(205,1),(206,1)}
       182:{1,3,7}:{(153,1),(156,1),(162,1)}
       183:{2,6}:{(154,1),(155,1)}
       184:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(206,1),(207,1),(208,1),(236,1)}
       185:{1,3,6}:{(157,1),(158,1),(202,1),(207,1)}
       186:{1,3,4,7}:{(158,1),(160,1),(164,1),(203,1),(208,1),(209,1)}
       187:{1,4,6}:{(159,1),(160,1),(204,1),(210,1)}
       188:{1,3,5}:{(161,1),(162,1),(163,1),(211,1)}
       189:{2,4}:{(163,1),(164,1),(211,1)}
       190:{1,2,4,7}:{(167,1),(173,1),(212,1),(213,1),(238,1)}
       191:{1,3,6}:{(165,1),(166,1),(168,1),(214,1)}
       192:{2,5,7}:{(166,1),(167,1),(174,1),(214,1)}
       193:{2,3,7}:{(167,1),(170,1),(175,1),(213,1)}
       194:{1,2,4,6}:{(168,1),(169,1),(171,1),(177,1),(214,1),(216,1),(218,1),(239,1)}
       195:{1,3,5,7}:{(169,1),(170,1),(176,1),(178,1),(215,1),(216,1),(217,1),(240,1)}
       196:{1,3,5,6}:{(171,1),(172,1),(179,1),(216,1),(218,1),(223,1),(240,1),(241,1)}
       197:{1,4,7}:{(172,1),(180,1),(218,1)}
       198:{1,2,5}:{(173,1),(174,1),(219,1),(244,1)}
       199:{1,3,6}:{(173,1),(175,1),(213,1),(219,1)}
       200:{2,3,5}:{(174,1),(175,1),(176,1),(219,1),(220,1)}
       201:{1,3,4}:{(176,1),(220,1)}
       202:{3,6}:{(177,1),(178,1)}
       203:{3,4,7}:{(178,1),(180,1),(221,1)}
       204:{2,4,6}:{(179,1),(180,1),(187,1),(218,1),(221,1),(222,1)}
       205:{1,2,6}:{(181,1),(183,1),(223,1)}
       206:{1,3,5,7}:{(181,1),(182,1),(184,1),(188,1),(223,1),(224,1),(241,1)}
       207:{2,3,6}:{(183,1),(184,1),(185,1),(223,1),(225,1)}
       208:{2,4,7}:{(184,1),(186,1),(189,1),(224,1),(225,1)}
       209:{1,3,4,6}:{(185,1),(186,1),(187,1),(221,1),(225,1),(226,1)}
       210:{1,4,5}:{(187,1),(222,1),(226,1),(244,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(198,1),(227,1),(228,1)}
       213:{1,3,7}:{(190,1),(193,1),(199,1)}
       214:{2,6}:{(191,1),(192,1)}
       215:{2,3,5,7}:{(192,1),(193,1),(195,1),(200,1),(228,1),(229,1),(230,1),(243,1)}
       216:{1,3,6}:{(194,1),(195,1),(202,1),(229,1)}
       217:{1,3,4,7}:{(195,1),(197,1),(201,1),(203,1),(230,1),(231,1)}
       218:{1,4,6}:{(196,1),(197,1),(204,1),(232,1)}
       219:{1,3,5}:{(198,1),(199,1),(200,1),(233,1)}
       220:{2,4}:{(200,1),(201,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(204,1),(210,1),(232,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(207,1),(235,1)}
       224:{1,4,7}:{(206,1),(208,1),(211,1),(235,1)}
       225:{2,4,6}:{(207,1),(208,1),(209,1),(235,1),(236,1)}
       226:{1,3,5}:{(209,1),(210,1),(234,1),(236,1)}
       227:{1,2,6}:{(212,1),(214,1),(237,1)}
       228:{1,3,5,7}:{(212,1),(213,1),(215,1),(219,1),(237,1),(238,1),(244,1)}
       229:{2,3,6}:{(214,1),(215,1),(216,1),(237,1),(239,1)}
       230:{2,4,7}:{(215,1),(217,1),(220,1),(238,1),(239,1)}
       231:{1,3,4,6}:{(216,1),(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,4,5}:{(218,1),(222,1),(240,1),(241,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(225,1),(241,1)}
       236:{2,5}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(229,1),(242,1)}
       238:{1,4,7}:{(228,1),(230,1),(233,1),(242,1)}
       239:{2,4,6}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       240:{1,3,5}:{(231,1),(232,1),(234,1),(243,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1809 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1810 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1811 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(25,1),(55,1),(60,1),(61,1),(62,1),(63,1),(101,1),(144,1),(147,1),(181,1),(182,1),(184,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(78,1),(85,1),(167,1),(200,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(41,1),(50,1),(51,1),(77,1),(86,1),(133,1),(135,1),(173,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(185,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(55,1),(57,1),(61,1),(64,1),(101,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(109,1),(156,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(60,1),(101,1),(147,1)}
         7:{1,3,4,5}:{(3,1),(14,1),(38,1),(80,1),(197,1),(200,1)}
         8:{2,4,6}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(173,1),(175,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(78,1),(83,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(77,1),(87,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(78,1),(167,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(83,1),(125,1),(133,1),(180,1)}
        14:{2,4,5}:{(7,1),(8,1),(24,1),(25,1),(55,1),(99,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(26,1),(27,1),(33,1),(56,1),(104,1),(113,1),(114,1),(149,1),(156,1)}
        16:{2,3,4,6}:{(8,1),(24,1),(28,1),(29,1),(57,1),(64,1),(99,1),(145,1),(185,1)}
        17:{1,4,6}:{(8,1),(10,1),(25,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(27,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(55,1),(101,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(57,1),(101,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(102,1),(153,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(16,1),(38,1),(165,1),(200,1)}
        25:{1,4,5}:{(14,1),(17,1),(38,1),(120,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(18,1),(39,1),(41,1),(42,1),(50,1),(77,1),(123,1),(165,1)}
        27:{1,3,4,6}:{(15,1),(42,1),(43,1),(78,1),(126,1),(127,1),(167,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(38,1),(44,1),(45,1),(47,1),(78,1),(80,1),(85,1),(120,1),(162,1)}
        29:{2,3,4,7}:{(16,1),(18,1),(39,1),(45,1),(87,1),(123,1),(175,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(44,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(43,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(77,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(78,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(79,1),(94,1),(125,1),(134,1),(139,1),(140,1),(167,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(126,1),(173,1)}
        38:{1,3,5}:{(24,1),(25,1),(28,1),(55,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(29,1),(56,1),(57,1),(156,1)}
        40:{1,2,4,5}:{(25,1),(30,1),(55,1),(58,1),(99,1)}
        41:{1,4,5,7}:{(25,1),(26,1),(31,1),(56,1),(60,1),(70,1),(142,1),(181,1)}
        42:{2,4,6}:{(26,1),(27,1),(57,1),(60,1),(61,1),(101,1)}
        43:{1,3,5,6}:{(27,1),(33,1),(61,1),(62,1),(108,1),(149,1)}
        44:{2,4,6}:{(28,1),(55,1),(64,1),(65,1),(99,1),(101,1)}
        45:{1,3,4,7}:{(28,1),(29,1),(31,1),(56,1),(65,1),(68,1),(109,1),(142,1)}
        46:{2,3,4,6,7}:{(29,1),(32,1),(57,1),(66,1),(67,1),(74,1),(103,1),(111,1),(119,1),(145,1),(155,1),(185,1),(186,1),(193,1),(212,1)}
        47:{1,3,6}:{(30,1),(58,1),(64,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(65,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(61,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(62,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(101,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(102,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(103,1),(147,1),(155,1)}
        55:{2,5}:{(38,1),(44,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(41,1),(45,1),(77,1),(78,1)}
        57:{2,3,6}:{(39,1),(42,1),(78,1),(167,1)}
        58:{1,3,5}:{(40,1),(47,1),(76,1),(80,1)}
        59:{1,2,4,5,7}:{(40,1),(41,1),(48,1),(77,1),(81,1),(82,1),(92,1),(123,1),(135,1),(137,1),(165,1),(169,1)}
        60:{1,4,6}:{(41,1),(42,1),(78,1),(83,1)}
        61:{2,5,6}:{(42,1),(43,1),(50,1),(83,1),(165,1)}
        62:{1,4,5,6}:{(43,1),(51,1),(84,1),(126,1),(169,1),(172,1)}
        63:{1,2,4,6}:{(44,1),(75,1),(85,1),(86,1),(120,1),(122,1),(162,1)}
        64:{2,3,6}:{(44,1),(47,1),(76,1),(85,1),(87,1)}
        65:{2,4,7}:{(44,1),(45,1),(77,1),(87,1)}
        66:{1,3,4,6,7}:{(45,1),(46,1),(49,1),(78,1),(88,1),(89,1),(91,1),(126,1),(128,1),(132,1),(137,1),(141,1),(162,1),(167,1),(173,1),(175,1),(198,1),(202,1),(208,1),(224,1)}
        67:{2,3,5,7}:{(46,1),(50,1),(79,1),(89,1),(90,1),(94,1),(139,1),(165,1),(200,1),(223,1)}
        68:{1,3,7}:{(47,1),(48,1),(87,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(82,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(230,1)}
        70:{1,5,7}:{(49,1),(50,1),(83,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(84,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(125,1),(139,1),(172,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(126,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(127,1),(167,1),(175,1)}
        75:{1,2,5}:{(55,1),(63,1),(97,1),(181,1)}
        76:{2,3,5}:{(55,1),(58,1),(64,1),(97,1),(99,1)}
        77:{2,5,7}:{(55,1),(56,1),(65,1),(101,1)}
        78:{1,3,6}:{(56,1),(57,1),(60,1),(101,1)}
        79:{2,3,5,6}:{(57,1),(61,1),(67,1),(102,1),(103,1),(108,1),(152,1),(186,1)}
        80:{1,3,4}:{(58,1),(99,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(68,1),(100,1),(104,1),(105,1),(149,1),(156,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(101,1),(105,1),(106,1),(145,1),(147,1),(150,1)}
        83:{1,5,6}:{(60,1),(61,1),(70,1),(181,1)}
        84:{2,4,5,6}:{(61,1),(62,1),(71,1),(103,1),(107,1),(108,1),(147,1),(152,1),(184,1)}
        85:{1,3,6}:{(63,1),(64,1),(97,1),(109,1)}
        86:{1,2,4,7}:{(63,1),(65,1),(98,1),(109,1),(142,1)}
        87:{2,3,7}:{(64,1),(65,1),(68,1),(109,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(101,1),(111,1),(112,1),(145,1),(147,1),(155,1),(212,1),(216,1),(221,1)}
        89:{1,3,5,7}:{(66,1),(67,1),(70,1),(102,1),(112,1),(113,1),(149,1),(156,1),(160,1),(181,1),(211,1),(232,1)}
        90:{2,4,5,7}:{(67,1),(103,1),(113,1),(114,1),(155,1),(184,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(105,1),(111,1),(115,1),(213,1),(237,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(106,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(107,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(108,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(147,1),(187,1),(216,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(148,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(85,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(86,1),(121,1),(122,1)}
        99:{2,4}:{(76,1),(80,1),(120,1)}
       100:{2,3,5,7}:{(76,1),(77,1),(81,1),(87,1),(121,1),(123,1),(124,1),(165,1)}
       101:{2,6}:{(77,1),(78,1)}
       102:{1,3,5,6}:{(78,1),(79,1),(83,1),(89,1),(125,1),(126,1),(167,1),(172,1),(202,1)}
       103:{2,4,6}:{(79,1),(90,1),(126,1),(127,1)}
       104:{1,3,4,7}:{(80,1),(81,1),(123,1),(128,1),(137,1),(175,1)}
       105:{1,3,6}:{(81,1),(82,1),(124,1),(167,1)}
       106:{1,2,5,6}:{(82,1),(83,1),(92,1),(125,1),(129,1),(165,1),(225,1)}
       107:{1,4,5,6}:{(83,1),(84,1),(93,1),(126,1),(131,1),(197,1)}
       108:{3,5,6}:{(84,1),(94,1),(127,1),(167,1),(200,1)}
       109:{1,3,7}:{(85,1),(86,1),(87,1)}
       110:{1,2,4,6,7}:{(86,1),(88,1),(122,1),(132,1),(133,1),(141,1),(162,1),(164,1),(173,1),(180,1),(210,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(91,1),(124,1),(132,1),(134,1),(167,1),(199,1),(231,1)}
       112:{2,5,7}:{(88,1),(89,1),(125,1),(165,1),(223,1)}
       113:{1,4,5,7}:{(89,1),(90,1),(126,1),(135,1),(137,1),(169,1),(173,1),(197,1)}
       114:{3,4,5,7}:{(90,1),(94,1),(127,1),(175,1),(200,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(129,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(130,1),(135,1),(137,1),(138,1),(139,1),(177,1),(178,1),(209,1),(230,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(131,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(167,1),(202,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(168,1),(178,1)}
       120:{1,4}:{(97,1),(99,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(100,1),(109,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(101,1),(143,1)}
       123:{2,4,7}:{(99,1),(100,1),(104,1),(142,1),(145,1)}
       124:{2,3,6}:{(100,1),(101,1),(105,1),(143,1),(145,1)}
       125:{2,5,6}:{(101,1),(102,1),(112,1),(147,1),(216,1)}
       126:{1,4,6}:{(102,1),(103,1),(113,1),(147,1)}
       127:{3,4,6}:{(103,1),(108,1),(114,1)}
       128:{1,3,4,6}:{(104,1),(105,1),(145,1),(149,1),(150,1),(185,1)}
       129:{1,3,5,6}:{(105,1),(106,1),(115,1),(146,1),(149,1),(150,1),(213,1),(232,1)}
       130:{1,2,4,5,6}:{(106,1),(107,1),(116,1),(147,1),(150,1),(151,1),(152,1),(184,1),(187,1),(189,1),(216,1),(217,1),(232,1),(233,1),(234,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(117,1),(148,1),(152,1),(211,1)}
       132:{1,3,6,7}:{(109,1),(110,1),(111,1),(143,1),(153,1),(183,1),(222,1)}
       133:{1,2,5,7}:{(110,1),(112,1),(144,1),(153,1),(160,1),(181,1)}
       134:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1),(153,1),(155,1),(156,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(147,1),(155,1),(156,1),(184,1)}
       136:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(148,1),(156,1),(157,1),(158,1),(188,1),(191,1),(194,1),(211,1)}
       137:{1,4,7}:{(115,1),(150,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(151,1),(156,1),(158,1),(159,1),(237,1)}
       139:{2,5,7}:{(117,1),(119,1),(152,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(186,1),(216,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(187,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(123,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(124,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(125,1),(133,1),(163,1),(164,1),(172,1),(223,1)}
       145:{2,4,6}:{(123,1),(124,1),(128,1),(162,1),(165,1)}
       146:{2,3,5,6}:{(124,1),(125,1),(129,1),(134,1),(163,1),(165,1),(166,1),(167,1),(199,1),(200,1),(223,1)}
       147:{2,4,6}:{(125,1),(126,1),(135,1),(167,1)}
       148:{1,3,4,6}:{(126,1),(127,1),(131,1),(136,1),(167,1),(168,1),(202,1)}
       149:{1,3,5}:{(128,1),(165,1),(169,1),(200,1)}
       150:{1,4,6}:{(129,1),(137,1),(166,1),(169,1)}
       151:{1,3,5,6}:{(130,1),(138,1),(167,1),(170,1),(171,1),(200,1),(202,1),(226,1),(239,1)}
       152:{2,5,6}:{(131,1),(139,1),(168,1),(172,1),(223,1)}
       153:{1,3,5,7}:{(132,1),(133,1),(134,1),(163,1),(173,1)}
       154:{1,2,4,5,7}:{(133,1),(135,1),(164,1),(173,1),(174,1),(177,1),(197,1),(206,1),(209,1),(210,1),(223,1),(228,1)}
       155:{2,4,7}:{(134,1),(137,1),(166,1),(173,1),(175,1)}
       156:{3,5,7}:{(135,1),(167,1),(175,1),(200,1)}
       157:{2,4,5,7}:{(136,1),(139,1),(168,1),(176,1),(177,1),(178,1),(203,1),(206,1),(209,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(170,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(171,1),(178,1),(179,1),(209,1),(231,1)}
       160:{1,5,7}:{(139,1),(141,1),(172,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(202,1)}
       162:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(146,1),(153,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(147,1),(154,1),(182,1),(183,1),(187,1),(212,1),(216,1)}
       165:{2,5}:{(145,1),(149,1),(181,1)}
       166:{2,4,6}:{(146,1),(150,1),(155,1),(182,1),(184,1),(185,1)}
       167:{3,6}:{(147,1),(156,1)}
       168:{2,4,6}:{(148,1),(152,1),(157,1),(186,1),(187,1),(216,1)}
       169:{1,4,5}:{(149,1),(150,1),(184,1),(232,1)}
       170:{1,3,4,6}:{(150,1),(151,1),(158,1),(185,1),(188,1),(189,1)}
       171:{2,3,5,6}:{(151,1),(152,1),(159,1),(186,1),(189,1),(190,1),(214,1),(216,1),(234,1),(235,1)}
       172:{1,5,6}:{(152,1),(160,1),(187,1),(232,1)}
       173:{1,4,7}:{(153,1),(155,1),(182,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(183,1),(191,1),(192,1),(211,1),(222,1),(236,1)}
       175:{3,4,7}:{(155,1),(156,1),(185,1)}
       176:{2,3,5,7}:{(156,1),(157,1),(186,1),(193,1),(194,1),(214,1)}
       177:{1,4,5,7}:{(157,1),(160,1),(187,1),(194,1),(195,1),(217,1),(219,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(189,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(190,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(216,1)}
       181:{1,5}:{(162,1),(165,1)}
       182:{1,4,6}:{(163,1),(166,1),(173,1),(197,1)}
       183:{1,3,6}:{(164,1),(167,1),(174,1),(199,1)}
       184:{2,4,5}:{(165,1),(166,1),(169,1),(197,1),(200,1),(223,1)}
       185:{3,4,6}:{(166,1),(167,1),(175,1),(200,1)}
       186:{2,3,6}:{(167,1),(168,1),(176,1),(202,1)}
       187:{1,4,6}:{(168,1),(172,1),(177,1),(202,1)}
       188:{1,3,4,5}:{(169,1),(170,1),(200,1),(203,1),(226,1),(241,1)}
       189:{2,4,6}:{(170,1),(171,1),(178,1),(203,1),(204,1)}
       190:{1,3,5,6}:{(171,1),(172,1),(179,1),(202,1),(204,1),(205,1),(226,1),(229,1)}
       191:{1,3,4,7}:{(173,1),(174,1),(175,1),(198,1),(206,1),(241,1)}
       192:{2,3,5,7}:{(174,1),(199,1),(206,1),(207,1),(209,1),(223,1),(231,1),(240,1)}
       193:{2,3,4,7}:{(175,1),(176,1),(178,1),(201,1),(206,1),(208,1),(231,1)}
       194:{1,3,5,7}:{(176,1),(177,1),(202,1),(208,1),(209,1),(226,1)}
       195:{1,4,7}:{(178,1),(179,1),(204,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(205,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(184,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(185,1),(191,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(192,1),(212,1),(213,1),(216,1)}
       200:{3,5}:{(184,1),(185,1)}
       201:{2,3,4,6}:{(185,1),(186,1),(189,1),(193,1),(212,1),(214,1),(215,1),(235,1),(243,1)}
       202:{1,3,6}:{(186,1),(187,1),(194,1),(216,1)}
       203:{2,4,5}:{(188,1),(189,1),(214,1),(217,1),(234,1),(243,1)}
       204:{1,4,6}:{(189,1),(190,1),(195,1),(217,1)}
       205:{1,2,5,6}:{(190,1),(196,1),(216,1),(218,1),(234,1)}
       206:{2,4,7}:{(191,1),(192,1),(212,1),(219,1),(243,1)}
       207:{1,3,5,7}:{(192,1),(213,1),(219,1),(220,1),(232,1),(237,1),(242,1)}
       208:{1,3,4,7}:{(193,1),(194,1),(195,1),(215,1),(219,1),(221,1),(222,1),(237,1)}
       209:{2,5,7}:{(194,1),(216,1),(221,1),(234,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(218,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(200,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(206,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(207,1),(224,1),(225,1)}
       214:{2,3,5}:{(200,1),(201,1),(203,1),(223,1),(226,1)}
       215:{1,3,4,6}:{(201,1),(202,1),(204,1),(208,1),(224,1),(226,1),(227,1),(229,1),(239,1),(241,1),(244,1)}
       216:{2,6}:{(202,1),(209,1)}
       217:{1,4,5}:{(203,1),(204,1),(226,1),(244,1)}
       218:{1,2,4,6}:{(204,1),(205,1),(210,1),(227,1),(228,1),(229,1)}
       219:{1,4,7}:{(206,1),(207,1),(224,1),(244,1)}
       220:{1,2,5,7}:{(207,1),(209,1),(225,1),(230,1),(238,1)}
       221:{2,4,7}:{(208,1),(209,1),(227,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(219,1),(232,1)}
       225:{1,2,6}:{(213,1),(216,1),(220,1)}
       226:{1,3,5}:{(214,1),(215,1),(217,1),(232,1),(234,1)}
       227:{2,4,6}:{(215,1),(216,1),(221,1),(234,1),(235,1),(243,1)}
       228:{1,2,4,5}:{(217,1),(218,1),(234,1),(236,1),(243,1)}
       229:{1,3,6}:{(218,1),(222,1),(235,1),(236,1)}
       230:{1,2,4,7}:{(219,1),(220,1),(221,1),(233,1),(237,1)}
       231:{2,3,7}:{(221,1),(222,1),(235,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(227,1),(230,1),(238,1),(239,1),(244,1)}
       234:{2,5}:{(226,1),(227,1)}
       235:{2,3,6}:{(227,1),(229,1),(231,1),(239,1),(240,1)}
       236:{1,3,5}:{(228,1),(229,1),(240,1),(241,1)}
       237:{1,3,7}:{(230,1),(231,1),(239,1)}
       238:{1,2,5}:{(232,1),(233,1),(234,1),(242,1)}
       239:{1,3,6}:{(233,1),(235,1),(237,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,3,4}:{(236,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1812 :   0:{1,3,4,5,6}:{(1,1),(2,1),(12,1),(46,1),(48,1),(106,1),(165,1),(173,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(54,1),(70,1),(115,1),(131,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(25,1),(67,1),(196,1)}
         3:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(173,1)}
         4:{1,4,5,6,7}:{(10,1),(13,1),(89,1),(93,1),(164,1)}
         5:{1,3,4,6,7}:{(1,1),(13,1),(14,1),(38,1),(40,1),(93,1),(160,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(41,1),(96,1),(162,1)}
         7:{1,4,5,6}:{(2,1),(12,1),(15,1),(92,1),(224,1)}
         8:{2,3,4,5}:{(9,1),(18,1),(97,1),(101,1),(235,1)}
         9:{2,3,4,6}:{(3,1),(8,1),(19,1),(20,1),(67,1),(110,1),(206,1)}
        10:{2,4,5,6,7}:{(4,1),(21,1),(22,1),(26,1),(60,1),(63,1),(126,1),(195,1)}
        11:{2,3,5,7}:{(3,1),(6,1),(19,1),(23,1),(24,1),(185,1)}
        12:{1,3,5,6}:{(3,1),(7,1),(20,1),(24,1),(25,1)}
        13:{1,3,5,6,7}:{(4,1),(5,1),(22,1),(26,1),(131,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(65,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(24,1),(27,1),(124,1),(192,1)}
        16:{1,2,4,5,6}:{(7,1),(25,1),(28,1),(29,1),(53,1),(67,1),(125,1),(137,1),(140,1),(179,1),(193,1),(196,1),(197,1),(204,1),(239,1),(256,1),(283,1)}
        17:{2,3,4,5,7}:{(8,1),(19,1),(30,1),(31,1),(55,1),(129,1),(133,1),(176,1),(198,1),(237,1),(245,1),(256,1),(282,1),(285,1)}
        18:{1,3,4,5}:{(8,1),(20,1),(32,1),(74,1),(125,1)}
        19:{2,3,4,7}:{(9,1),(11,1),(34,1),(96,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(18,1),(34,1),(35,1),(82,1),(92,1)}
        21:{1,4,5,6,7}:{(10,1),(36,1),(43,1),(93,1),(223,1)}
        22:{3,5,6,7}:{(10,1),(38,1),(160,1),(225,1)}
        23:{2,3,6,7}:{(11,1),(14,1),(40,1),(160,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(15,1),(34,1),(40,1),(41,1)}
        25:{2,5,6}:{(12,1),(35,1),(41,1)}
        26:{2,5,6,7}:{(13,1),(14,1),(43,1),(162,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(40,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(41,1),(44,1),(45,1),(81,1),(96,1),(147,1),(151,1),(159,1),(162,1),(164,1),(211,1),(214,1),(263,1)}
        29:{1,3,5,6}:{(16,1),(42,1),(45,1),(46,1),(82,1),(150,1),(173,1),(216,1),(277,1),(298,1)}
        30:{2,3,4,6}:{(17,1),(49,1),(50,1),(163,1),(167,1),(229,1),(269,1),(298,1),(300,1)}
        31:{1,3,4,5,7}:{(17,1),(18,1),(34,1),(50,1),(51,1),(84,1),(104,1),(159,1),(208,1),(214,1),(217,1),(227,1),(234,1),(235,1),(299,1)}
        32:{2,4,5}:{(18,1),(35,1),(52,1)}
        33:{2,3,4,6,7}:{(19,1),(23,1),(30,1),(55,1),(56,1),(63,1),(120,1),(128,1),(176,1),(177,1),(194,1),(237,1),(248,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(24,1),(57,1),(113,1),(124,1)}
        35:{2,4,6}:{(20,1),(25,1),(32,1),(57,1),(58,1)}
        36:{1,3,5,6,7}:{(21,1),(22,1),(59,1),(60,1),(249,1)}
        37:{1,2,5,6}:{(25,1),(53,1),(61,1),(62,1),(179,1),(239,1)}
        38:{3,4,6,7}:{(22,1),(54,1),(63,1)}
        39:{2,3,5,6,7}:{(22,1),(23,1),(26,1),(55,1),(60,1),(63,1),(64,1),(120,1)}
        40:{1,3,6,7}:{(23,1),(24,1),(27,1),(65,1)}
        41:{2,5,7}:{(24,1),(25,1),(57,1),(65,1)}
        42:{2,3,5,6}:{(25,1),(29,1),(58,1),(62,1),(66,1),(67,1),(110,1),(119,1),(179,1),(188,1),(196,1),(239,1)}
        43:{1,5,6,7}:{(26,1),(27,1),(192,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(65,1),(68,1),(69,1),(126,1),(128,1),(130,1),(193,1),(239,1),(283,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(66,1),(69,1),(70,1),(113,1),(185,1),(282,1)}
        46:{1,3,4,6}:{(29,1),(67,1),(70,1),(71,1),(204,1),(206,1),(255,1)}
        47:{1,2,4,5}:{(32,1),(53,1),(74,1),(125,1),(134,1),(179,1)}
        48:{3,4,5,6}:{(54,1),(75,1),(251,1),(255,1)}
        49:{2,3,5,6}:{(30,1),(55,1),(75,1),(76,1),(196,1),(251,1),(288,1)}
        50:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(138,1),(193,1),(204,1),(206,1),(309,1)}
        51:{2,4,5,7}:{(31,1),(32,1),(57,1),(77,1),(78,1),(116,1),(186,1),(207,1),(236,1),(252,1)}
        52:{2,3,5}:{(32,1),(58,1),(74,1),(79,1)}
        53:{1,2,4,6}:{(35,1),(37,1),(47,1),(81,1),(82,1),(92,1),(144,1)}
        54:{3,4,5,7}:{(38,1),(48,1),(83,1),(225,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(49,1),(83,1),(84,1),(162,1),(225,1),(271,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(40,1),(50,1),(84,1),(85,1),(93,1),(148,1),(155,1),(158,1),(160,1),(208,1),(214,1),(217,1),(270,1)}
        57:{2,4,7}:{(34,1),(35,1),(41,1),(86,1)}
        58:{2,3,6}:{(35,1),(52,1),(82,1),(86,1)}
        59:{1,3,4,6,7}:{(36,1),(38,1),(80,1),(88,1),(93,1),(155,1),(160,1)}
        60:{2,5,6,7}:{(36,1),(88,1),(89,1),(271,1)}
        61:{1,2,5,7}:{(37,1),(41,1),(81,1),(90,1),(91,1),(211,1)}
        62:{1,3,5,6}:{(37,1),(42,1),(82,1),(91,1),(92,1),(150,1),(216,1),(224,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(83,1),(93,1)}
        64:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(84,1),(89,1),(93,1),(94,1),(155,1),(160,1)}
        65:{2,6,7}:{(40,1),(41,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(86,1),(91,1),(95,1),(96,1),(143,1),(162,1),(211,1)}
        67:{2,4,6}:{(42,1),(46,1),(92,1),(96,1),(97,1)}
        68:{1,2,5,6,7}:{(43,1),(44,1),(94,1),(98,1),(147,1),(162,1),(220,1),(224,1),(264,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(95,1),(160,1),(216,1),(298,1)}
        70:{1,3,4,7}:{(45,1),(46,1),(96,1),(214,1),(217,1),(262,1)}
        71:{1,3,4,5}:{(46,1),(97,1),(150,1),(234,1),(235,1),(277,1)}
        72:{1,3,4,5,6}:{(48,1),(80,1),(102,1),(106,1),(169,1),(173,1),(233,1),(272,1)}
        73:{1,2,4,5,7}:{(47,1),(51,1),(81,1),(103,1),(104,1),(147,1),(159,1),(168,1),(211,1),(214,1),(230,1),(234,1),(260,1),(263,1),(273,1),(299,1),(312,1)}
        74:{1,3,5}:{(47,1),(52,1),(82,1),(101,1),(105,1)}
        75:{2,4,5,6}:{(48,1),(49,1),(83,1),(106,1),(229,1)}
        76:{1,3,5,6}:{(49,1),(50,1),(84,1),(106,1),(107,1),(173,1),(224,1),(301,1)}
        77:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        78:{2,3,5,7}:{(51,1),(52,1),(86,1),(104,1),(108,1),(109,1),(175,1),(261,1),(274,1)}
        79:{2,3,4}:{(52,1),(105,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(72,1),(111,1),(115,1),(180,1),(185,1),(242,1),(249,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(61,1),(113,1),(124,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(74,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(63,1),(75,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(76,1),(115,1),(116,1),(185,1),(192,1),(287,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(117,1),(186,1),(189,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(67,1),(79,1),(114,1),(118,1),(119,1),(188,1),(255,1)}
        88:{2,4,6,7}:{(59,1),(60,1),(111,1),(120,1),(121,1),(189,1)}
        89:{1,5,6,7}:{(60,1),(121,1),(287,1)}
        90:{1,2,6,7}:{(61,1),(65,1),(123,1),(239,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(66,1),(113,1),(123,1),(124,1),(192,1)}
        92:{1,4,6}:{(62,1),(67,1),(124,1),(125,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(115,1),(126,1)}
        94:{2,5,6,7}:{(64,1),(65,1),(116,1),(126,1),(189,1)}
        95:{2,3,6,7}:{(65,1),(66,1),(69,1),(123,1),(128,1),(188,1),(239,1)}
        96:{2,4,7}:{(66,1),(67,1),(70,1),(124,1)}
        97:{2,4,5}:{(67,1),(71,1),(119,1),(125,1),(179,1)}
        98:{1,3,5,6,7}:{(68,1),(69,1),(127,1),(130,1),(131,1),(182,1),(244,1),(247,1),(287,1)}
        99:{1,3,4,6,7}:{(69,1),(70,1),(128,1),(130,1),(131,1),(132,1),(194,1)}
       100:{1,3,4,5,7}:{(70,1),(71,1),(129,1),(131,1),(132,1),(184,1),(243,1),(245,1),(282,1)}
       101:{2,3,5}:{(74,1),(110,1),(134,1),(179,1)}
       102:{2,4,5,6}:{(72,1),(111,1),(135,1),(136,1),(202,1),(258,1),(288,1)}
       103:{1,2,4,6}:{(73,1),(77,1),(137,1),(138,1),(193,1),(201,1),(204,1),(239,1),(283,1),(309,1),(314,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(78,1),(113,1),(133,1),(138,1),(139,1),(205,1),(280,1),(282,1),(289,1)}
       105:{1,3,4}:{(74,1),(79,1),(134,1)}
       106:{1,4,5,6}:{(75,1),(76,1),(115,1),(140,1),(204,1)}
       107:{2,5,6}:{(76,1),(77,1),(116,1)}
       108:{2,3,6}:{(77,1),(78,1),(138,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(139,1),(142,1),(186,1),(290,1)}
       110:{2,3,6}:{(82,1),(101,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(88,1),(102,1),(145,1),(146,1),(212,1),(266,1),(271,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(103,1),(147,1),(148,1),(158,1),(210,1),(214,1),(220,1),(260,1),(270,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(105,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(106,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(107,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(108,1),(148,1),(152,1),(160,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(96,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(97,1),(150,1),(277,1)}
       120:{2,3,6,7}:{(88,1),(145,1),(155,1),(160,1)}
       121:{1,4,6,7}:{(88,1),(89,1),(146,1),(155,1)}
       122:{1,2,5,6,7}:{(89,1),(90,1),(94,1),(147,1),(156,1),(157,1),(264,1),(271,1),(301,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(95,1),(158,1),(216,1)}
       124:{1,4,7}:{(91,1),(92,1),(96,1)}
       125:{1,4,5}:{(92,1),(97,1),(150,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(151,1),(160,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(98,1),(152,1),(157,1),(160,1),(161,1),(162,1),(209,1),(219,1),(221,1),(225,1),(264,1),(271,1),(298,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(99,1),(158,1),(162,1),(163,1)}
       129:{2,4,5,7}:{(96,1),(97,1),(100,1),(154,1),(159,1),(162,1),(163,1),(211,1)}
       130:{1,4,6,7}:{(98,1),(161,1),(164,1),(214,1),(268,1)}
       131:{1,3,5,7}:{(99,1),(162,1),(164,1),(165,1),(225,1)}
       132:{1,3,4,6}:{(100,1),(163,1),(165,1),(216,1),(268,1),(269,1),(298,1)}
       133:{2,3,5,7}:{(101,1),(104,1),(143,1),(167,1),(168,1),(211,1),(230,1),(295,1),(302,1),(312,1)}
       134:{2,4}:{(101,1),(105,1)}
       135:{2,3,5,6}:{(102,1),(145,1),(166,1),(169,1),(173,1)}
       136:{1,4,5,6}:{(102,1),(146,1),(169,1),(278,1),(301,1)}
       137:{1,2,5,6}:{(103,1),(107,1),(147,1),(171,1),(224,1),(230,1),(264,1),(301,1)}
       138:{1,3,6}:{(103,1),(104,1),(108,1),(167,1),(298,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(168,1),(172,1),(214,1),(262,1),(303,1)}
       140:{2,4,5,6}:{(106,1),(107,1),(151,1),(173,1),(174,1)}
       141:{2,3,5,6}:{(107,1),(108,1),(152,1),(171,1),(173,1),(174,1),(175,1)}
       142:{2,3,4,6}:{(108,1),(109,1),(172,1),(174,1),(175,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(134,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(120,1),(135,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(121,1),(136,1),(180,1),(284,1),(287,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(137,1),(182,1),(192,1),(238,1),(287,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(138,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(124,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(125,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(126,1),(140,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(141,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(128,1),(142,1),(183,1),(186,1),(187,1),(188,1),(194,1),(246,1),(248,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(129,1),(184,1),(188,1),(282,1)}
       155:{1,3,6,7}:{(120,1),(121,1),(180,1),(189,1)}
       156:{1,2,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(189,1),(190,1),(191,1),(248,1),(283,1),(309,1),(314,1)}
       157:{1,3,5,6,7}:{(122,1),(123,1),(127,1),(182,1),(190,1),(191,1),(192,1),(244,1),(249,1)}
       158:{1,4,6,7}:{(123,1),(124,1),(128,1),(192,1),(193,1)}
       159:{1,4,5,7}:{(124,1),(125,1),(129,1),(184,1),(192,1),(193,1)}
       160:{3,6,7}:{(126,1),(185,1)}
       161:{2,4,6,7}:{(127,1),(130,1),(186,1),(191,1),(194,1),(195,1),(237,1),(246,1),(283,1)}
       162:{2,5,7}:{(128,1),(131,1),(192,1),(196,1)}
       163:{2,4,6}:{(129,1),(132,1),(188,1),(193,1),(196,1),(239,1)}
       164:{1,4,5,7}:{(130,1),(131,1),(195,1),(197,1),(287,1)}
       165:{1,3,5,6}:{(131,1),(132,1),(196,1),(197,1),(251,1)}
       166:{2,3,4,6}:{(135,1),(176,1),(198,1),(199,1),(206,1),(258,1),(291,1)}
       167:{2,3,6}:{(133,1),(138,1),(201,1),(239,1),(314,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1),(310,1)}
       169:{1,3,5,6}:{(135,1),(136,1),(180,1),(199,1),(202,1)}
       170:{1,2,4,5,6}:{(136,1),(137,1),(140,1),(181,1),(202,1),(203,1),(204,1),(250,1),(253,1),(256,1),(258,1),(283,1),(288,1),(294,1),(309,1),(311,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(182,1),(200,1),(204,1),(205,1)}
       172:{1,3,4,6}:{(138,1),(139,1),(142,1),(201,1),(204,1),(205,1),(255,1)}
       173:{3,5,6}:{(140,1),(185,1),(206,1)}
       174:{2,4,6}:{(141,1),(186,1),(204,1),(206,1),(207,1)}
       175:{2,3,5}:{(142,1),(205,1),(207,1)}
       176:{2,3,4,7}:{(145,1),(166,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(167,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(155,1),(169,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(156,1),(170,1),(212,1),(213,1),(214,1),(223,1),(260,1),(263,1),(266,1),(271,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(171,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(158,1),(172,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(270,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(159,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(160,1),(173,1),(217,1)}
       186:{2,4,7}:{(152,1),(174,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(162,1),(175,1),(215,1),(218,1),(219,1),(225,1),(271,1)}
       188:{2,3,6}:{(154,1),(163,1),(216,1),(298,1)}
       189:{2,6,7}:{(155,1),(212,1)}
       190:{1,3,6,7}:{(156,1),(160,1),(213,1),(221,1),(298,1),(313,1)}
       191:{1,4,6,7}:{(157,1),(161,1),(214,1),(223,1),(268,1)}
       192:{1,5,7}:{(158,1),(162,1),(224,1)}
       193:{1,4,6}:{(159,1),(163,1),(216,1),(224,1)}
       194:{3,4,6,7}:{(160,1),(161,1),(217,1),(225,1),(262,1),(269,1),(298,1)}
       195:{2,4,5,7}:{(161,1),(162,1),(164,1),(223,1),(225,1),(226,1),(271,1)}
       196:{2,5,6}:{(162,1),(163,1),(165,1),(224,1)}
       197:{1,4,5,6}:{(164,1),(165,1),(226,1),(268,1),(301,1)}
       198:{2,3,4,5}:{(166,1),(227,1),(235,1),(279,1),(302,1)}
       199:{1,3,4,6}:{(166,1),(169,1),(208,1),(227,1),(228,1),(275,1),(278,1)}
       200:{2,3,5,6}:{(167,1),(171,1),(209,1),(229,1),(230,1),(264,1),(277,1),(298,1)}
       201:{2,4,6}:{(167,1),(168,1),(172,1),(230,1)}
       202:{2,5,6}:{(169,1),(212,1),(228,1)}
       203:{1,3,5,6}:{(170,1),(173,1),(213,1),(232,1),(233,1),(275,1),(277,1),(298,1),(305,1),(313,1)}
       204:{1,4,6}:{(171,1),(174,1),(214,1),(229,1),(234,1)}
       205:{1,3,5}:{(172,1),(175,1),(230,1),(234,1),(277,1)}
       206:{3,4,6}:{(173,1),(174,1),(217,1),(235,1)}
       207:{2,4,5}:{(174,1),(175,1),(234,1),(235,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(199,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(200,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(201,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(189,1),(202,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(190,1),(203,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(204,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(192,1),(205,1),(238,1),(243,1),(244,1),(282,1),(287,1)}
       216:{1,3,6}:{(184,1),(188,1),(193,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(206,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(207,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(196,1),(244,1),(246,1),(251,1),(288,1),(308,1)}
       220:{1,2,6,7}:{(189,1),(240,1),(247,1),(314,1)}
       221:{2,3,6,7}:{(189,1),(190,1),(241,1),(247,1),(248,1),(308,1),(314,1)}
       222:{1,3,4,6,7}:{(190,1),(191,1),(194,1),(242,1),(248,1),(249,1),(286,1)}
       223:{1,4,5,7}:{(191,1),(192,1),(195,1),(249,1),(250,1)}
       224:{1,5,6}:{(192,1),(193,1),(196,1)}
       225:{3,5,7}:{(194,1),(195,1),(251,1)}
       226:{2,4,5,6}:{(195,1),(196,1),(197,1),(246,1),(250,1),(251,1),(283,1),(288,1)}
       227:{1,3,4,5}:{(198,1),(199,1),(252,1),(289,1),(294,1)}
       228:{2,4,6}:{(199,1),(202,1),(236,1),(252,1),(254,1)}
       229:{2,4,6}:{(200,1),(204,1),(237,1),(255,1),(256,1)}
       230:{2,5}:{(201,1),(205,1)}
       231:{1,2,5,6}:{(202,1),(240,1),(253,1),(257,1),(311,1),(314,1)}
       232:{2,3,5,6}:{(202,1),(203,1),(241,1),(254,1),(257,1),(258,1),(288,1),(291,1),(293,1),(308,1),(311,1),(314,1)}
       233:{1,3,4,6}:{(203,1),(204,1),(206,1),(242,1),(255,1),(258,1),(259,1)}
       234:{1,4,5}:{(204,1),(205,1),(207,1),(256,1)}
       235:{3,4,5}:{(206,1),(207,1)}
       236:{2,4,7}:{(208,1),(212,1),(228,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(229,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(230,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(220,1),(231,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(221,1),(232,1),(261,1),(265,1),(266,1),(271,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(233,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(234,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(224,1),(264,1),(268,1),(298,1),(301,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(225,1),(235,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{1,3,6,7}:{(220,1),(221,1),(265,1),(270,1),(313,1)}
       248:{2,4,6,7}:{(221,1),(222,1),(266,1),(270,1),(271,1),(300,1)}
       249:{1,3,5,7}:{(222,1),(223,1),(225,1),(271,1),(272,1)}
       250:{1,4,5,6}:{(223,1),(224,1),(226,1),(268,1),(272,1)}
       251:{3,5,6}:{(225,1),(226,1),(269,1),(298,1)}
       252:{2,4,5}:{(227,1),(228,1),(274,1)}
       253:{1,2,4,6}:{(228,1),(231,1),(260,1),(273,1),(275,1),(278,1),(304,1)}
       254:{2,3,6}:{(228,1),(261,1),(274,1),(275,1)}
       255:{3,4,6}:{(229,1),(262,1),(277,1),(298,1)}
       256:{2,4,5}:{(229,1),(230,1),(234,1),(277,1)}
       257:{1,3,5,6}:{(231,1),(232,1),(265,1),(275,1),(278,1),(301,1),(305,1),(313,1)}
       258:{2,4,6}:{(232,1),(233,1),(266,1),(278,1),(279,1)}
       259:{1,3,4,5}:{(233,1),(234,1),(235,1),(277,1),(279,1),(305,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(253,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(254,1),(280,1)}
       262:{3,4,7}:{(237,1),(255,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(256,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(247,1),(257,1),(280,1),(284,1),(287,1)}
       266:{2,4,7}:{(241,1),(242,1),(258,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(249,1),(259,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(251,1)}
       270:{1,4,6,7}:{(247,1),(248,1),(284,1),(287,1),(309,1)}
       271:{2,5,7}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,5,6}:{(249,1),(250,1),(251,1),(286,1),(288,1)}
       273:{1,2,4,5}:{(252,1),(253,1),(289,1),(294,1),(310,1),(311,1)}
       274:{2,3,5}:{(252,1),(254,1),(289,1),(290,1)}
       275:{1,3,6}:{(253,1),(254,1),(280,1),(289,1),(291,1)}
       276:{2,3,4,6}:{(254,1),(255,1),(258,1),(281,1),(290,1),(292,1),(293,1),(308,1)}
       277:{3,5}:{(255,1),(256,1)}
       278:{1,4,6}:{(257,1),(258,1),(284,1),(294,1)}
       279:{2,4,5}:{(258,1),(259,1),(293,1),(294,1),(311,1)}
       280:{1,3,7}:{(260,1),(261,1),(275,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(276,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(277,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(278,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(271,1),(279,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(272,1),(298,1),(300,1),(313,1)}
       287:{1,5,7}:{(270,1),(271,1),(301,1)}
       288:{2,5,6}:{(271,1),(272,1),(300,1),(301,1)}
       289:{1,3,5}:{(273,1),(274,1),(275,1),(302,1),(303,1)}
       290:{2,3,4}:{(274,1),(303,1)}
       291:{2,3,6}:{(275,1),(295,1),(302,1),(304,1)}
       292:{1,3,4,6}:{(275,1),(276,1),(278,1),(296,1),(303,1),(304,1),(305,1),(313,1)}
       293:{2,3,5}:{(276,1),(277,1),(279,1),(305,1)}
       294:{1,4,5}:{(278,1),(279,1),(305,1)}
       295:{2,3,7}:{(280,1),(291,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(292,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(293,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(287,1),(294,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(288,1),(308,1),(309,1),(314,1)}
       301:{1,5,6}:{(287,1),(288,1),(309,1)}
       302:{2,3,5}:{(289,1),(291,1),(310,1),(311,1)}
       303:{1,3,4}:{(289,1),(290,1),(310,1)}
       304:{2,4,6}:{(291,1),(292,1),(306,1),(310,1),(311,1),(314,1)}
       305:{1,3,5}:{(292,1),(293,1),(294,1),(311,1)}
       306:{2,4,7}:{(295,1),(296,1),(304,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(305,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4}:{(302,1),(303,1)}
       311:{2,5}:{(304,1),(305,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1813 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(24,1),(31,1),(33,1),(39,1),(75,1),(76,1),(83,1),(132,1),(156,1),(194,1),(201,1),(203,1),(256,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(31,1),(66,1),(124,1),(194,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(25,1),(31,1),(37,1),(82,1),(91,1)}
         3:{1,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(47,1),(64,1),(166,1),(225,1),(230,1),(233,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(13,1),(46,1),(51,1),(58,1),(62,1),(114,1),(184,1),(189,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(14,1),(15,1),(189,1),(225,1)}
         6:{1,2,5,7}:{(1,1),(13,1),(15,1),(20,1),(96,1),(159,1),(239,1)}
         7:{1,3,4,5,7}:{(10,1),(16,1),(17,1),(21,1),(41,1),(47,1),(55,1),(64,1),(117,1),(160,1),(161,1),(170,1),(171,1),(186,1),(225,1),(228,1),(233,1),(274,1)}
         8:{2,4,6,7}:{(2,1),(14,1),(19,1),(20,1),(46,1),(54,1),(62,1)}
         9:{1,3,5,7}:{(2,1),(18,1),(20,1),(21,1),(47,1),(64,1)}
        10:{1,3,4,7}:{(3,1),(24,1),(25,1),(31,1),(82,1),(256,1),(258,1)}
        11:{2,3,5,7}:{(3,1),(24,1),(26,1),(27,1),(75,1),(83,1),(133,1),(202,1)}
        12:{1,3,6}:{(3,1),(4,1),(27,1),(91,1),(216,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(28,1),(36,1),(75,1),(88,1),(149,1),(201,1),(263,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(27,1),(29,1),(30,1),(91,1),(124,1),(155,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(31,1),(156,1),(210,1)}
        16:{2,4,5,7}:{(7,1),(24,1),(32,1),(33,1),(34,1),(67,1),(75,1),(83,1),(126,1),(136,1),(147,1),(194,1),(203,1),(214,1)}
        17:{1,3,4,6}:{(7,1),(34,1),(35,1),(37,1),(84,1),(91,1),(150,1),(151,1),(216,1),(255,1),(290,1)}
        18:{1,3,5,6}:{(9,1),(36,1),(37,1),(91,1)}
        19:{1,4,6,7}:{(8,1),(29,1),(38,1),(74,1),(81,1),(90,1)}
        20:{2,5,7}:{(8,1),(9,1),(36,1),(38,1),(75,1)}
        21:{1,4,5,7}:{(9,1),(31,1),(37,1),(39,1),(76,1),(156,1)}
        22:{1,3,4,6,7}:{(17,1),(40,1),(41,1),(43,1),(93,1),(99,1),(160,1),(161,1),(225,1)}
        23:{1,3,5,6,7}:{(18,1),(41,1),(42,1),(43,1),(99,1),(227,1)}
        24:{2,4,7}:{(10,1),(11,1),(45,1),(46,1),(232,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(46,1),(47,1),(51,1),(109,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(103,1),(105,1),(172,1)}
        27:{2,3,6}:{(11,1),(12,1),(46,1),(49,1),(114,1)}
        28:{1,3,5,6}:{(12,1),(13,1),(15,1),(47,1),(50,1),(51,1),(189,1),(230,1),(237,1),(238,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(49,1),(52,1),(53,1),(122,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(20,1),(50,1),(53,1),(54,1),(64,1),(123,1),(159,1),(177,1),(225,1)}
        31:{1,4,7}:{(15,1),(51,1),(54,1)}
        32:{2,3,5,7}:{(16,1),(44,1),(55,1),(56,1),(64,1),(102,1),(123,1),(225,1),(233,1),(274,1),(301,1)}
        33:{1,4,5,7}:{(16,1),(45,1),(55,1),(58,1),(96,1),(105,1),(160,1),(170,1),(179,1),(240,1)}
        34:{2,4,6}:{(16,1),(17,1),(56,1),(58,1),(59,1),(114,1)}
        35:{1,3,5,6}:{(17,1),(41,1),(47,1),(59,1),(60,1),(121,1),(186,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1),(62,1)}
        37:{1,4,6}:{(18,1),(21,1),(62,1),(189,1)}
        38:{1,5,7}:{(19,1),(20,1),(61,1),(105,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(54,1),(62,1),(63,1),(64,1),(106,1),(123,1)}
        40:{2,4,6,7}:{(22,1),(34,1),(65,1),(66,1),(67,1),(124,1),(126,1),(194,1)}
        41:{1,3,5,7}:{(22,1),(35,1),(67,1),(68,1),(130,1)}
        42:{2,5,6,7}:{(23,1),(36,1),(67,1),(69,1),(70,1),(250,1)}
        43:{1,4,6,7}:{(23,1),(37,1),(68,1),(70,1),(199,1),(255,1)}
        44:{2,3,4,7}:{(24,1),(32,1),(71,1),(72,1),(82,1),(126,1),(133,1),(144,1),(147,1),(252,1),(253,1),(258,1),(288,1)}
        45:{1,4,7}:{(24,1),(26,1),(74,1),(205,1)}
        46:{2,4,6}:{(24,1),(25,1),(27,1),(74,1),(75,1)}
        47:{1,3,5}:{(25,1),(75,1),(76,1),(140,1)}
        48:{1,2,5,7}:{(26,1),(73,1),(77,1),(83,1),(138,1),(310,1)}
        49:{1,3,6}:{(26,1),(27,1),(74,1),(77,1)}
        50:{2,3,5,6}:{(27,1),(28,1),(30,1),(36,1),(75,1),(78,1),(79,1),(91,1),(140,1),(149,1),(155,1),(202,1),(207,1),(208,1),(216,1)}
        51:{1,4,6}:{(28,1),(31,1),(76,1),(79,1),(256,1)}
        52:{1,2,6,7}:{(29,1),(77,1),(80,1),(124,1),(155,1),(199,1)}
        53:{1,3,5,7}:{(29,1),(30,1),(38,1),(78,1),(80,1),(81,1),(143,1)}
        54:{2,4,7}:{(30,1),(31,1),(79,1),(81,1),(82,1)}
        55:{1,3,5,7}:{(32,1),(33,1),(71,1),(83,1),(84,1),(135,1),(156,1),(310,1)}
        56:{2,3,6}:{(32,1),(34,1),(84,1),(91,1),(155,1),(216,1),(290,1),(309,1)}
        57:{1,2,4,5,7}:{(33,1),(73,1),(83,1),(86,1),(87,1),(128,1),(138,1),(147,1),(194,1),(197,1),(203,1),(205,1),(214,1),(218,1),(251,1),(310,1)}
        58:{1,4,6}:{(33,1),(34,1),(84,1),(88,1)}
        59:{2,5,6}:{(34,1),(35,1),(67,1),(75,1),(88,1),(214,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(68,1),(76,1),(89,1),(150,1),(218,1),(219,1),(255,1)}
        61:{1,5,6}:{(36,1),(38,1),(90,1)}
        62:{2,4,6}:{(36,1),(37,1),(39,1),(90,1),(91,1),(155,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(81,1),(90,1),(92,1),(139,1)}
        64:{3,5,7}:{(39,1),(82,1),(91,1),(140,1)}
        65:{2,3,6,7}:{(40,1),(56,1),(93,1),(94,1),(99,1),(165,1),(225,1)}
        66:{1,4,6,7}:{(40,1),(58,1),(93,1),(96,1),(160,1)}
        67:{2,5,7}:{(40,1),(41,1),(59,1),(96,1)}
        68:{1,4,5,7}:{(41,1),(43,1),(60,1),(97,1),(160,1),(229,1)}
        69:{1,5,6,7}:{(42,1),(61,1),(96,1),(98,1),(269,1)}
        70:{2,4,6,7}:{(42,1),(43,1),(62,1),(97,1),(98,1),(99,1),(165,1),(273,1)}
        71:{1,3,4,7}:{(44,1),(45,1),(55,1),(100,1),(101,1),(103,1),(160,1),(166,1),(178,1),(179,1),(225,1),(275,1),(302,1)}
        72:{2,3,4,6}:{(44,1),(46,1),(56,1),(101,1),(102,1),(109,1),(116,1),(168,1),(176,1),(182,1),(232,1),(244,1),(245,1),(278,1),(283,1)}
        73:{1,2,4,7}:{(45,1),(48,1),(100,1),(103,1),(104,1),(302,1),(303,1)}
        74:{1,4,6}:{(45,1),(46,1),(49,1),(105,1)}
        75:{2,5}:{(46,1),(47,1),(105,1)}
        76:{1,4,5}:{(47,1),(51,1),(106,1),(237,1)}
        77:{1,2,6}:{(48,1),(49,1),(114,1),(313,1)}
        78:{1,3,5,6}:{(49,1),(50,1),(53,1),(61,1),(105,1),(107,1),(108,1),(122,1),(172,1),(174,1),(175,1)}
        79:{2,4,6}:{(50,1),(51,1),(54,1),(106,1),(108,1),(109,1),(232,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(107,1),(110,1),(123,1),(159,1),(229,1)}
        81:{1,4,7}:{(53,1),(54,1),(108,1)}
        82:{3,4,7}:{(54,1),(64,1),(109,1),(225,1)}
        83:{2,5,7}:{(55,1),(100,1),(114,1),(169,1)}
        84:{1,3,6}:{(55,1),(56,1),(58,1),(114,1),(189,1),(313,1)}
        85:{2,3,5,6}:{(56,1),(59,1),(94,1),(102,1),(115,1),(116,1),(121,1),(188,1),(245,1)}
        86:{1,3,5,7}:{(57,1),(103,1),(113,1),(117,1),(118,1),(172,1),(186,1),(225,1),(233,1),(274,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(114,1),(118,1),(119,1),(182,1),(184,1),(187,1),(273,1),(313,1)}
        88:{1,5,6}:{(58,1),(59,1),(96,1),(105,1),(240,1)}
        89:{2,4,5,6}:{(59,1),(60,1),(62,1),(97,1),(106,1),(116,1),(120,1),(121,1),(184,1),(188,1),(243,1),(273,1)}
        90:{1,4,6}:{(61,1),(62,1),(63,1),(122,1)}
        91:{3,6}:{(62,1),(64,1)}
        92:{1,3,5,7}:{(63,1),(64,1),(111,1),(122,1),(123,1),(174,1)}
        93:{1,3,6,7}:{(65,1),(66,1),(84,1),(124,1),(125,1),(199,1)}
        94:{2,3,5,7}:{(65,1),(67,1),(85,1),(125,1),(126,1),(130,1),(198,1),(253,1)}
        95:{1,2,4,6,7}:{(66,1),(87,1),(124,1),(127,1),(128,1),(192,1),(194,1),(197,1)}
        96:{1,5,7}:{(66,1),(67,1),(88,1)}
        97:{2,4,5,7}:{(67,1),(68,1),(70,1),(89,1),(126,1),(129,1),(130,1),(194,1),(198,1)}
        98:{1,4,6,7}:{(69,1),(70,1),(90,1),(129,1),(131,1),(286,1)}
        99:{3,6,7}:{(70,1),(91,1),(130,1),(290,1)}
       100:{2,4,7}:{(71,1),(83,1),(133,1),(134,1),(291,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(74,1),(84,1),(134,1),(135,1),(137,1),(150,1),(200,1),(205,1),(209,1),(211,1),(216,1),(256,1),(258,1),(268,1),(294,1),(298,1)}
       102:{2,3,5}:{(72,1),(75,1),(135,1),(136,1),(140,1),(207,1),(214,1),(267,1),(297,1)}
       103:{1,3,7}:{(73,1),(133,1),(137,1)}
       104:{1,2,4,6}:{(73,1),(74,1),(77,1),(134,1),(137,1),(138,1),(205,1),(298,1),(299,1),(311,1)}
       105:{1,5}:{(74,1),(75,1)}
       106:{2,4,5}:{(75,1),(76,1),(79,1),(139,1),(140,1),(207,1)}
       107:{1,2,5,6}:{(77,1),(78,1),(80,1),(138,1),(141,1),(149,1),(155,1),(207,1),(219,1)}
       108:{1,4,6}:{(78,1),(79,1),(81,1),(139,1),(205,1)}
       109:{3,4,6}:{(79,1),(82,1),(91,1),(140,1),(216,1),(258,1)}
       110:{1,2,4,7}:{(80,1),(81,1),(141,1),(143,1),(144,1),(194,1),(254,1),(291,1)}
       111:{1,3,4,7}:{(81,1),(82,1),(92,1),(142,1),(143,1),(144,1)}
       112:{1,2,5,7}:{(83,1),(132,1),(145,1),(146,1),(156,1),(201,1)}
       113:{2,3,5,7}:{(83,1),(86,1),(133,1),(145,1),(147,1),(148,1),(202,1),(214,1)}
       114:{2,6}:{(83,1),(84,1)}
       115:{1,3,5,6}:{(84,1),(85,1),(88,1),(125,1),(135,1),(149,1),(150,1),(216,1),(219,1),(268,1)}
       116:{2,4,6}:{(85,1),(126,1),(136,1),(150,1),(151,1)}
       117:{1,3,4,7}:{(86,1),(147,1),(152,1),(197,1),(205,1),(252,1),(258,1)}
       118:{1,3,6}:{(86,1),(87,1),(148,1),(216,1),(290,1)}
       119:{1,2,5,6}:{(87,1),(88,1),(128,1),(138,1),(149,1),(153,1),(214,1),(250,1),(299,1)}
       120:{1,4,5,6}:{(88,1),(89,1),(90,1),(129,1),(139,1),(150,1),(154,1),(264,1),(286,1)}
       121:{3,5,6}:{(89,1),(91,1),(130,1),(140,1),(151,1),(216,1),(267,1),(290,1)}
       122:{1,3,6}:{(90,1),(91,1),(92,1),(155,1)}
       123:{2,5,7}:{(92,1),(144,1),(155,1),(156,1),(207,1)}
       124:{2,6,7}:{(93,1),(114,1),(159,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(96,1),(115,1),(159,1),(160,1),(225,1),(229,1),(275,1)}
       126:{2,4,7}:{(94,1),(116,1),(160,1),(161,1)}
       127:{1,3,6,7}:{(95,1),(118,1),(158,1),(163,1),(225,1),(313,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(119,1),(159,1),(163,1),(223,1),(303,1)}
       129:{1,4,5,7}:{(96,1),(97,1),(98,1),(120,1),(160,1),(164,1)}
       130:{3,5,7}:{(97,1),(99,1),(121,1),(161,1),(225,1)}
       131:{1,3,6,7}:{(98,1),(99,1),(122,1),(164,1),(165,1),(300,1)}
       132:{1,2,4,7}:{(100,1),(112,1),(166,1),(167,1),(178,1),(179,1),(239,1)}
       133:{2,3,7}:{(100,1),(103,1),(166,1),(168,1),(225,1)}
       134:{2,4,6}:{(100,1),(101,1),(114,1),(168,1),(169,1),(232,1),(285,1),(306,1)}
       135:{1,3,5}:{(101,1),(102,1),(105,1),(169,1),(170,1),(233,1),(237,1),(240,1),(308,1)}
       136:{2,4,5}:{(102,1),(116,1),(170,1),(171,1),(232,1)}
       137:{1,3,6}:{(103,1),(104,1),(168,1),(172,1),(314,1)}
       138:{1,2,5}:{(104,1),(105,1),(169,1),(172,1),(308,1)}
       139:{1,4,5}:{(105,1),(106,1),(108,1),(174,1)}
       140:{3,5}:{(106,1),(109,1)}
       141:{1,2,4,6}:{(107,1),(108,1),(110,1),(173,1),(175,1),(176,1),(184,1),(246,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(111,1),(122,1),(174,1),(175,1),(176,1),(235,1)}
       143:{1,3,7}:{(110,1),(175,1),(177,1),(225,1)}
       144:{2,4,7}:{(111,1),(123,1),(176,1),(177,1),(178,1)}
       145:{1,3,5,7}:{(112,1),(113,1),(166,1),(179,1),(180,1),(230,1),(240,1)}
       146:{1,2,6}:{(112,1),(114,1),(180,1),(189,1)}
       147:{2,4,7}:{(113,1),(117,1),(179,1),(182,1),(232,1)}
       148:{2,3,6}:{(113,1),(114,1),(118,1),(180,1),(182,1)}
       149:{2,5,6}:{(114,1),(115,1),(159,1),(169,1),(184,1),(285,1)}
       150:{1,4,6}:{(115,1),(116,1),(160,1),(170,1),(184,1)}
       151:{3,4,6}:{(116,1),(121,1),(161,1),(171,1)}
       152:{1,3,4,6}:{(117,1),(118,1),(182,1),(186,1),(187,1),(244,1)}
       153:{1,3,5,6}:{(118,1),(119,1),(163,1),(172,1),(183,1),(186,1),(187,1),(284,1),(308,1),(313,1)}
       154:{1,3,5,6}:{(120,1),(121,1),(122,1),(164,1),(174,1),(185,1),(188,1),(282,1),(300,1)}
       155:{2,6}:{(122,1),(123,1),(189,1)}
       156:{1,5,7}:{(123,1),(178,1),(189,1),(237,1)}
       157:{1,2,6,7}:{(124,1),(146,1),(190,1),(191,1),(199,1),(309,1)}
       158:{2,3,6,7}:{(124,1),(127,1),(148,1),(190,1),(192,1),(193,1),(290,1),(309,1)}
       159:{2,5,7}:{(124,1),(125,1),(149,1),(194,1),(291,1)}
       160:{1,4,7}:{(125,1),(126,1),(150,1),(194,1)}
       161:{3,4,7}:{(126,1),(130,1),(151,1)}
       162:{1,3,4,6,7}:{(127,1),(152,1),(192,1),(196,1),(197,1),(252,1),(255,1),(290,1)}
       163:{1,3,5,7}:{(127,1),(128,1),(153,1),(193,1),(197,1),(289,1),(310,1)}
       164:{1,3,5,7}:{(129,1),(130,1),(131,1),(154,1),(195,1),(198,1)}
       165:{2,6,7}:{(131,1),(155,1),(198,1),(199,1),(309,1)}
       166:{1,3,7}:{(132,1),(133,1),(200,1)}
       167:{1,2,4,6}:{(132,1),(134,1),(146,1),(200,1),(201,1),(209,1),(211,1),(256,1),(263,1),(296,1)}
       168:{2,3,6}:{(133,1),(134,1),(137,1),(200,1),(202,1),(216,1),(312,1)}
       169:{2,5}:{(134,1),(135,1)}
       170:{1,4,5}:{(135,1),(136,1),(150,1),(203,1),(205,1),(256,1)}
       171:{3,4,5}:{(136,1),(140,1),(151,1),(258,1),(267,1)}
       172:{1,3,5}:{(137,1),(138,1),(202,1),(205,1)}
       173:{1,2,4,5}:{(138,1),(139,1),(141,1),(203,1),(205,1),(206,1),(207,1),(260,1),(261,1),(295,1),(311,1)}
       174:{1,3,5}:{(139,1),(140,1),(142,1),(207,1)}
       175:{1,3,6}:{(141,1),(143,1),(206,1),(208,1),(216,1)}
       176:{2,4,6}:{(142,1),(144,1),(155,1),(207,1),(208,1),(209,1),(261,1)}
       177:{2,3,7}:{(143,1),(144,1),(208,1),(210,1),(291,1)}
       178:{1,4,7}:{(144,1),(156,1),(209,1),(210,1)}
       179:{1,4,7}:{(145,1),(147,1),(211,1),(256,1)}
       180:{1,3,6}:{(145,1),(146,1),(148,1),(211,1)}
       181:{1,2,5,6}:{(146,1),(149,1),(191,1),(201,1),(212,1),(213,1),(219,1),(297,1),(309,1)}
       182:{2,4,6}:{(147,1),(148,1),(152,1),(211,1),(214,1)}
       183:{2,3,5,6}:{(148,1),(149,1),(153,1),(193,1),(202,1),(212,1),(214,1),(215,1),(216,1),(250,1),(266,1),(267,1),(290,1),(297,1),(309,1)}
       184:{2,4,6}:{(149,1),(150,1),(194,1),(203,1),(216,1)}
       185:{1,3,4,6}:{(150,1),(151,1),(154,1),(195,1),(204,1),(216,1),(217,1),(268,1)}
       186:{1,3,5}:{(152,1),(214,1),(218,1),(267,1)}
       187:{1,4,6}:{(153,1),(197,1),(205,1),(215,1),(218,1)}
       188:{2,5,6}:{(154,1),(155,1),(198,1),(207,1),(217,1),(219,1),(297,1),(309,1)}
       189:{1,6}:{(155,1),(156,1)}
       190:{1,3,6,7}:{(157,1),(158,1),(180,1),(220,1),(221,1),(300,1)}
       191:{1,2,5,7}:{(157,1),(159,1),(181,1),(221,1),(222,1),(229,1),(301,1)}
       192:{2,4,6,7}:{(158,1),(162,1),(182,1),(220,1),(223,1),(224,1),(273,1)}
       193:{2,3,5,7}:{(158,1),(159,1),(163,1),(183,1),(221,1),(223,1),(224,1),(225,1),(272,1),(274,1),(301,1)}
       194:{2,4,7}:{(159,1),(160,1),(184,1),(225,1)}
       195:{1,3,4,7}:{(160,1),(161,1),(164,1),(185,1),(225,1),(226,1),(275,1)}
       196:{1,3,5,7}:{(162,1),(186,1),(223,1),(227,1),(228,1),(274,1)}
       197:{1,4,7}:{(163,1),(187,1),(224,1)}
       198:{2,5,7}:{(164,1),(165,1),(188,1),(226,1),(229,1)}
       199:{1,6,7}:{(165,1),(189,1),(229,1),(313,1)}
       200:{1,3,6}:{(166,1),(167,1),(168,1),(230,1),(307,1)}
       201:{1,2,5}:{(167,1),(169,1),(230,1),(237,1),(240,1)}
       202:{2,3,5}:{(168,1),(169,1),(172,1),(230,1),(232,1),(233,1)}
       203:{2,4,5}:{(169,1),(170,1),(184,1),(232,1),(233,1)}
       204:{1,3,4,5}:{(170,1),(171,1),(174,1),(185,1),(233,1),(234,1),(235,1),(276,1),(279,1),(282,1)}
       205:{1,4}:{(172,1),(232,1)}
       206:{1,3,5}:{(173,1),(175,1),(233,1),(235,1),(236,1),(314,1)}
       207:{2,5}:{(174,1),(176,1),(237,1)}
       208:{2,3,6}:{(175,1),(176,1),(177,1),(236,1),(238,1),(285,1)}
       209:{1,4,6}:{(176,1),(178,1),(189,1),(237,1),(238,1),(280,1)}
       210:{1,3,7}:{(177,1),(178,1),(238,1),(239,1)}
       211:{1,4,6}:{(179,1),(180,1),(182,1),(240,1)}
       212:{1,3,5,6}:{(180,1),(181,1),(183,1),(221,1),(230,1),(240,1),(241,1),(242,1),(269,1),(282,1),(300,1)}
       213:{1,2,4,6}:{(181,1),(184,1),(222,1),(231,1),(241,1),(242,1),(246,1),(283,1),(285,1)}
       214:{2,5}:{(182,1),(186,1),(240,1)}
       215:{2,4,6}:{(183,1),(187,1),(224,1),(232,1),(241,1),(243,1),(244,1)}
       216:{3,6}:{(184,1),(225,1),(233,1)}
       217:{2,4,6}:{(185,1),(188,1),(226,1),(234,1),(245,1),(246,1),(285,1)}
       218:{1,4,5}:{(186,1),(187,1),(243,1),(308,1)}
       219:{1,5,6}:{(188,1),(189,1),(229,1),(237,1),(246,1),(308,1),(313,1)}
       220:{1,4,6,7}:{(190,1),(192,1),(211,1),(247,1),(248,1),(286,1)}
       221:{1,3,5,7}:{(190,1),(191,1),(193,1),(212,1),(247,1),(248,1),(249,1)}
       222:{1,2,4,7}:{(191,1),(194,1),(213,1),(248,1),(249,1),(254,1),(288,1),(291,1)}
       223:{2,5,7}:{(192,1),(196,1),(214,1),(247,1),(250,1)}
       224:{2,4,7}:{(193,1),(197,1),(215,1),(248,1),(252,1)}
       225:{3,7}:{(194,1),(216,1)}
       226:{2,4,7}:{(195,1),(198,1),(217,1),(253,1),(254,1),(291,1)}
       227:{1,3,5,6}:{(196,1),(250,1),(255,1),(290,1)}
       228:{1,4,5,7}:{(196,1),(197,1),(218,1),(251,1),(255,1),(310,1)}
       229:{1,5,7}:{(198,1),(199,1),(219,1),(254,1)}
       230:{1,3,5}:{(200,1),(201,1),(202,1),(256,1)}
       231:{1,2,4,5}:{(201,1),(203,1),(213,1),(256,1),(257,1),(260,1),(264,1),(292,1),(295,1),(296,1),(297,1)}
       232:{2,4}:{(202,1),(205,1),(256,1),(258,1)}
       233:{3,5}:{(203,1),(216,1),(258,1)}
       234:{2,4,5}:{(204,1),(207,1),(217,1),(259,1),(260,1),(261,1),(292,1),(295,1),(297,1)}
       235:{1,3,4}:{(205,1),(206,1),(258,1),(261,1)}
       236:{2,3,5}:{(206,1),(207,1),(208,1),(261,1),(262,1),(295,1),(312,1)}
       237:{1,5}:{(207,1),(209,1)}
       238:{1,3,6}:{(208,1),(209,1),(210,1),(262,1),(263,1)}
       239:{1,2,7}:{(210,1),(263,1),(291,1)}
       240:{1,5}:{(211,1),(214,1)}
       241:{1,4,6}:{(212,1),(215,1),(248,1),(256,1),(264,1)}
       242:{1,3,6}:{(213,1),(216,1),(249,1),(257,1),(266,1)}
       243:{2,4,5}:{(214,1),(215,1),(218,1),(264,1),(267,1),(297,1)}
       244:{3,4,6}:{(215,1),(216,1),(252,1),(258,1),(267,1),(290,1)}
       245:{2,3,6}:{(216,1),(217,1),(253,1),(259,1),(268,1)}
       246:{1,4,6}:{(217,1),(219,1),(254,1),(260,1),(268,1)}
       247:{1,5,7}:{(220,1),(223,1),(240,1),(269,1)}
       248:{1,4,7}:{(221,1),(224,1),(241,1)}
       249:{1,3,7}:{(222,1),(225,1),(242,1),(272,1)}
       250:{2,5,6}:{(223,1),(227,1),(269,1),(273,1)}
       251:{2,4,5,7}:{(223,1),(224,1),(228,1),(243,1),(270,1),(273,1),(274,1),(301,1)}
       252:{3,4,7}:{(224,1),(225,1),(244,1),(274,1)}
       253:{2,3,7}:{(225,1),(226,1),(245,1),(275,1)}
       254:{1,4,7}:{(226,1),(229,1),(246,1),(275,1)}
       255:{1,4,6}:{(227,1),(228,1),(273,1),(313,1)}
       256:{1,4}:{(230,1),(232,1)}
       257:{1,3,5}:{(231,1),(233,1),(242,1),(276,1),(277,1),(307,1)}
       258:{3,4}:{(232,1),(233,1)}
       259:{2,3,5}:{(233,1),(234,1),(245,1),(278,1),(279,1)}
       260:{1,4,5}:{(234,1),(237,1),(246,1),(279,1),(280,1),(304,1),(308,1)}
       261:{2,4}:{(235,1),(236,1),(280,1)}
       262:{1,3,5}:{(236,1),(237,1),(238,1),(280,1),(281,1),(307,1)}
       263:{1,2,6}:{(238,1),(239,1),(281,1),(285,1)}
       264:{1,4,5}:{(240,1),(241,1),(243,1),(282,1)}
       265:{1,3,4,6}:{(241,1),(242,1),(244,1),(271,1),(276,1),(282,1),(283,1),(300,1)}
       266:{2,3,6}:{(242,1),(272,1),(277,1),(283,1),(284,1),(285,1)}
       267:{3,5}:{(243,1),(244,1)}
       268:{1,3,6}:{(245,1),(246,1),(275,1),(279,1),(285,1)}
       269:{1,5,6}:{(247,1),(250,1),(286,1)}
       270:{1,4,5,7}:{(247,1),(248,1),(251,1),(264,1),(286,1),(287,1)}
       271:{1,3,4,7}:{(248,1),(249,1),(252,1),(265,1),(287,1),(288,1)}
       272:{2,3,7}:{(249,1),(266,1),(288,1),(289,1),(291,1)}
       273:{2,4,6}:{(250,1),(251,1),(255,1),(286,1),(290,1),(309,1)}
       274:{3,5,7}:{(251,1),(252,1),(267,1),(290,1)}
       275:{1,3,7}:{(253,1),(254,1),(268,1),(291,1)}
       276:{1,3,4}:{(256,1),(257,1),(258,1),(292,1)}
       277:{2,3,5}:{(257,1),(266,1),(292,1),(293,1),(295,1),(297,1),(312,1)}
       278:{2,3,4}:{(258,1),(259,1),(261,1),(292,1),(294,1),(312,1)}
       279:{1,3,5}:{(259,1),(260,1),(268,1),(294,1),(295,1)}
       280:{1,4}:{(261,1),(262,1)}
       281:{1,2,5}:{(262,1),(263,1),(295,1),(296,1)}
       282:{1,3,5}:{(264,1),(265,1),(267,1),(297,1)}
       283:{2,4,6}:{(265,1),(266,1),(288,1),(292,1),(297,1),(298,1),(309,1)}
       284:{1,3,6}:{(266,1),(289,1),(293,1),(298,1),(299,1)}
       285:{2,6}:{(268,1),(291,1),(295,1)}
       286:{1,4,6}:{(269,1),(270,1),(273,1),(300,1)}
       287:{1,3,5,7}:{(270,1),(271,1),(274,1),(282,1),(300,1),(301,1)}
       288:{2,4,7}:{(271,1),(272,1),(283,1),(301,1),(302,1)}
       289:{1,3,7}:{(272,1),(284,1),(302,1),(303,1)}
       290:{3,6}:{(273,1),(274,1)}
       291:{2,7}:{(275,1),(285,1)}
       292:{2,4}:{(276,1),(277,1),(304,1)}
       293:{1,3,5}:{(277,1),(284,1),(304,1),(305,1),(308,1),(314,1)}
       294:{1,3,4}:{(278,1),(279,1),(280,1),(304,1),(306,1),(307,1),(314,1)}
       295:{2,5}:{(279,1),(285,1),(306,1)}
       296:{1,2,4}:{(280,1),(281,1),(306,1),(307,1)}
       297:{2,5}:{(282,1),(283,1),(308,1)}
       298:{1,4,6}:{(283,1),(284,1),(302,1),(304,1),(308,1),(313,1)}
       299:{1,2,6}:{(284,1),(285,1),(303,1),(305,1)}
       300:{1,3,6}:{(286,1),(287,1),(290,1),(309,1)}
       301:{2,5,7}:{(287,1),(288,1),(297,1),(309,1),(310,1)}
       302:{1,4,7}:{(288,1),(289,1),(298,1),(310,1)}
       303:{1,2,7}:{(289,1),(291,1),(299,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(295,1),(299,1),(311,1)}
       306:{2,4}:{(294,1),(295,1),(312,1)}
       307:{1,3}:{(296,1),(312,1)}
       308:{1,5}:{(297,1),(298,1)}
       309:{2,6}:{(300,1),(301,1),(313,1)}
       310:{1,5,7}:{(301,1),(302,1),(308,1),(313,1)}
       311:{1,2,4}:{(304,1),(305,1),(306,1),(314,1)}
       312:{2,3}:{(306,1),(307,1),(314,1)}
       313:{1,6}:{(309,1),(310,1)}
       314:{1,3}:{(311,1),(312,1)}

1814 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(39,1),(48,1),(79,1),(87,1),(88,1),(90,1),(93,1),(123,1),(169,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(23,1),(27,1),(34,1),(61,1),(66,1),(68,1),(72,1),(100,1),(102,1),(111,1),(112,1),(115,1),(141,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(56,1),(98,1),(109,1),(114,1),(140,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(100,1),(139,1),(141,1),(142,1),(143,1),(162,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(123,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(120,1),(122,1),(134,1),(154,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(124,1),(156,1),(169,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(120,1),(153,1),(154,1)}
        10:{2,3,5,6,7}:{(4,1),(21,1),(22,1),(56,1),(98,1),(99,1)}
        11:{1,2,4,6,7}:{(5,1),(23,1),(24,1),(60,1),(61,1),(100,1),(115,1),(116,1),(117,1),(139,1),(162,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(23,1),(29,1),(66,1),(73,1),(103,1),(139,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(140,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(61,1),(71,1),(101,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(56,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(142,1),(146,1),(163,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(143,1),(162,1),(163,1),(165,1),(173,1)}
        21:{1,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(77,1),(78,1),(120,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(36,1),(38,1),(39,1)}
        23:{1,3,6,7}:{(11,1),(14,1),(41,1),(81,1),(94,1),(136,1),(169,1)}
        24:{1,2,5,7}:{(11,1),(15,1),(40,1),(41,1),(120,1),(134,1),(153,1)}
        25:{2,4,5,6}:{(13,1),(36,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(41,1),(45,1),(48,1),(49,1),(153,1),(169,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(77,1),(82,1),(91,1),(92,1),(118,1),(122,1),(127,1),(152,1),(157,1),(169,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(124,1),(154,1),(170,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(156,1),(169,1),(170,1),(171,1)}
        36:{2,4,5,7}:{(22,1),(25,1),(55,1),(56,1),(98,1),(162,1)}
        37:{2,5,6,7}:{(21,1),(26,1),(57,1),(98,1),(139,1)}
        38:{1,4,6,7}:{(21,1),(22,1),(27,1),(55,1),(57,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(56,1)}
        40:{1,2,5,6}:{(24,1),(26,1),(59,1),(60,1),(108,1),(116,1),(140,1),(146,1),(150,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(29,1),(59,1),(61,1)}
        42:{1,2,4,5,7}:{(24,1),(30,1),(60,1),(61,1),(62,1),(70,1),(101,1),(104,1),(113,1),(117,1),(140,1),(150,1),(162,1),(165,1),(168,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(55,1),(63,1),(64,1),(71,1),(101,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(56,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(59,1),(65,1),(66,1),(73,1),(103,1),(109,1),(114,1),(140,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(61,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(98,1),(104,1),(113,1),(114,1),(137,1),(140,1),(144,1),(162,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,4,5,7}:{(36,1),(38,1),(43,1),(76,1),(77,1),(120,1),(152,1)}
        56:{3,5,7}:{(36,1),(39,1),(44,1),(169,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(46,1),(76,1),(78,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(47,1),(77,1),(78,1),(79,1),(118,1),(121,1),(152,1),(169,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(80,1),(81,1),(94,1),(122,1),(134,1),(161,1)}
        60:{1,2,4,6}:{(40,1),(42,1),(46,1),(80,1),(81,1),(89,1),(123,1),(132,1),(158,1)}
        61:{1,4,7}:{(41,1),(48,1),(80,1)}
        62:{1,3,5,7}:{(42,1),(49,1),(81,1),(82,1),(83,1),(122,1),(136,1),(161,1),(169,1),(171,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(76,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(77,1),(84,1),(85,1),(92,1),(122,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(80,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(169,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(169,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(120,1),(125,1),(134,1),(152,1),(154,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(154,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{2,4,5,7}:{(55,1),(57,1),(63,1),(97,1),(98,1),(137,1)}
        77:{1,3,5,7}:{(55,1),(56,1),(58,1),(64,1),(97,1),(98,1)}
        78:{3,6,7}:{(57,1),(66,1),(97,1)}
        79:{2,4,6,7}:{(58,1),(67,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{1,4,6}:{(59,1),(61,1),(65,1),(101,1),(168,1)}
        81:{1,3,6}:{(60,1),(62,1),(66,1),(103,1),(166,1)}
        82:{1,3,4,7}:{(61,1),(62,1),(68,1),(102,1),(104,1),(168,1),(174,1)}
        83:{2,3,5,7}:{(62,1),(103,1),(104,1),(105,1),(113,1),(140,1),(149,1),(167,1)}
        84:{3,5,6}:{(63,1),(66,1),(97,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(98,1),(108,1),(114,1),(140,1)}
        86:{2,4,5}:{(65,1),(71,1),(101,1),(109,1),(114,1),(140,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(104,1),(110,1),(112,1),(137,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{3,5,7}:{(76,1),(78,1),(84,1),(118,1)}
        98:{2,5,7}:{(77,1),(79,1),(85,1),(120,1)}
        99:{2,3,6,7}:{(78,1),(79,1),(88,1),(119,1),(121,1),(169,1)}
       100:{1,4,6,7}:{(79,1),(89,1),(120,1),(121,1),(152,1)}
       101:{1,4,5}:{(80,1),(86,1),(122,1),(134,1)}
       102:{1,3,4,6}:{(80,1),(81,1),(82,1),(87,1),(122,1),(123,1)}
       103:{2,3,6}:{(81,1),(83,1),(123,1),(124,1),(132,1)}
       104:{2,4,7}:{(82,1),(83,1),(123,1),(125,1),(172,1)}
       105:{1,3,5,7}:{(83,1),(124,1),(125,1),(126,1),(154,1),(156,1),(170,1)}
       106:{3,4,6}:{(84,1),(118,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(119,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(120,1),(134,1),(154,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(123,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(125,1),(131,1),(133,1),(136,1),(152,1),(156,1),(169,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{3,4,7}:{(97,1),(106,1),(137,1)}
       119:{2,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1)}
       120:{1,5,7}:{(98,1),(100,1),(108,1)}
       121:{1,3,6,7}:{(99,1),(100,1),(111,1),(138,1),(139,1)}
       122:{1,3,5}:{(101,1),(102,1),(109,1),(140,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(140,1),(141,1)}
       124:{1,3,6}:{(103,1),(105,1),(141,1),(142,1)}
       125:{1,4,7}:{(104,1),(105,1),(141,1),(173,1)}
       126:{1,2,5,7}:{(105,1),(113,1),(142,1),(143,1),(163,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(137,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(138,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(140,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(141,1),(145,1),(147,1),(148,1),(151,1),(164,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,4,7}:{(118,1),(119,1),(128,1),(152,1)}
       138:{1,3,5,7}:{(119,1),(120,1),(121,1),(129,1),(152,1),(153,1),(169,1)}
       139:{2,6,7}:{(121,1),(132,1),(153,1)}
       140:{2,5}:{(122,1),(123,1),(154,1)}
       141:{1,4,6}:{(123,1),(124,1),(125,1),(154,1)}
       142:{1,2,6}:{(124,1),(126,1),(132,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(133,1),(155,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(152,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(153,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(154,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(156,1),(160,1),(169,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,4,7}:{(137,1),(138,1),(145,1),(162,1)}
       153:{2,5,7}:{(138,1),(139,1),(146,1),(162,1)}
       154:{1,5}:{(140,1),(141,1)}
       155:{1,2,4,6}:{(141,1),(142,1),(143,1),(148,1),(163,1),(164,1),(173,1)}
       156:{1,3,7}:{(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(162,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(164,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{2,4,7}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,2,5}:{(154,1),(155,1),(159,1),(170,1)}
       164:{1,3,6}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(169,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{3,7}:{(162,1),(166,1)}
       170:{1,3,5}:{(163,1),(164,1),(167,1),(173,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1815 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(98,1),(252,1),(334,1),(353,1),(361,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(44,1),(45,1),(232,1),(248,1),(257,1),(353,1),(366,1),(442,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(129,1),(201,1),(300,1),(402,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(28,1),(68,1),(283,1),(310,1),(408,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(62,1),(302,1),(413,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(16,1),(39,1),(45,1),(155,1),(246,1),(255,1),(361,1),(367,1),(448,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(13,1),(171,1),(442,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(41,1),(442,1),(454,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(92,1),(448,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(45,1),(257,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(30,1),(57,1),(70,1),(115,1),(121,1),(129,1),(196,1),(203,1),(319,1),(324,1),(416,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(308,1),(414,1)}
        12:{1,2,4,5,6}:{(7,1),(25,1),(26,1),(27,1),(62,1),(63,1),(109,1),(132,1),(188,1),(204,1),(314,1),(322,1),(413,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(27,1),(132,1),(300,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(7,1),(9,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(28,1),(30,1),(310,1)}
        17:{2,3,4,6}:{(9,1),(29,1),(30,1),(31,1),(62,1),(70,1),(214,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(104,1),(151,1),(182,1),(243,1),(273,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(48,1),(80,1),(82,1),(101,1),(151,1),(172,1),(273,1),(277,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(162,1),(171,1),(254,1),(374,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(35,1),(39,1),(45,1),(246,1),(259,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(39,1),(448,1),(454,1)}
        23:{1,3,4,5}:{(15,1),(38,1),(41,1),(454,1),(458,1)}
        24:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(171,1),(238,1),(338,1),(347,1),(360,1)}
        25:{1,2,4,5,7}:{(12,1),(42,1),(43,1),(90,1),(92,1),(147,1),(171,1),(236,1),(256,1),(360,1),(368,1),(448,1)}
        26:{1,3,5,6}:{(12,1),(15,1),(38,1),(43,1),(44,1),(45,1),(257,1),(372,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(39,1),(45,1),(95,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(16,1),(45,1),(46,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(47,1)}
        30:{2,3,4,7}:{(16,1),(17,1),(46,1),(48,1),(92,1),(266,1)}
        31:{1,3,4,6}:{(17,1),(47,1),(48,1),(49,1),(93,1),(101,1),(174,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(73,1),(111,1),(139,1),(203,1),(230,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(112,1),(295,1),(325,1),(480,1),(519,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(51,1),(54,1),(55,1),(220,1),(329,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(70,1),(124,1),(132,1),(196,1),(206,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(416,1),(420,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(60,1),(67,1),(128,1),(296,1),(308,1),(408,1)}
        38:{1,3,4,6}:{(23,1),(26,1),(61,1),(62,1),(413,1),(419,1)}
        39:{1,4,6}:{(21,1),(22,1),(57,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(28,1),(58,1),(61,1),(64,1),(65,1),(128,1)}
        41:{2,4,5}:{(23,1),(29,1),(62,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(60,1),(67,1),(129,1),(190,1),(287,1),(386,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(61,1),(67,1),(68,1),(310,1),(415,1)}
        44:{2,3,5,6}:{(26,1),(29,1),(62,1),(68,1),(69,1),(70,1),(132,1),(188,1),(214,1)}
        45:{1,3,6}:{(27,1),(28,1),(70,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(70,1),(71,1)}
        47:{1,3,5}:{(29,1),(31,1),(66,1),(72,1)}
        48:{1,3,4,7}:{(30,1),(31,1),(71,1),(73,1),(130,1),(222,1)}
        49:{1,2,4,6}:{(31,1),(72,1),(73,1),(74,1),(139,1),(141,1)}
        50:{1,3,4,5,6}:{(38,1),(75,1),(76,1),(94,1),(144,1),(166,1),(241,1),(268,1),(372,1),(433,1)}
        51:{1,2,5,7}:{(32,1),(34,1),(77,1),(254,1),(280,1)}
        52:{1,2,3,5,6}:{(33,1),(77,1),(79,1),(151,1),(153,1),(182,1),(245,1),(276,1),(280,1),(451,1),(502,1),(505,1)}
        53:{1,2,4,7}:{(33,1),(79,1),(80,1),(345,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(77,1),(82,1),(101,1),(151,1),(175,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(378,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(84,1),(98,1),(162,1),(171,1),(243,1),(254,1),(338,1),(369,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(39,1),(82,1),(87,1)}
        58:{3,4,5,7}:{(36,1),(87,1),(162,1),(455,1),(458,1)}
        59:{2,3,4,5}:{(41,1),(85,1),(89,1),(170,1),(341,1),(458,1)}
        60:{1,4,6,7}:{(37,1),(39,1),(84,1),(90,1),(448,1)}
        61:{1,3,4,7}:{(38,1),(43,1),(92,1),(448,1),(455,1)}
        62:{2,4,6}:{(38,1),(41,1),(44,1),(92,1),(93,1)}
        63:{1,4,5,6}:{(39,1),(86,1),(90,1),(94,1),(259,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(45,1),(87,1),(94,1),(95,1)}
        65:{2,4,5,7}:{(40,1),(41,1),(46,1),(92,1),(95,1),(96,1),(171,1)}
        66:{1,4,5}:{(41,1),(47,1),(93,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(45,1),(98,1),(428,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(92,1),(98,1),(99,1),(171,1),(236,1),(266,1)}
        69:{1,3,5,6}:{(44,1),(47,1),(93,1),(99,1),(100,1),(101,1),(174,1),(175,1)}
        70:{2,3,6}:{(45,1),(46,1),(95,1),(101,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(48,1),(96,1),(101,1),(102,1)}
        72:{1,2,5}:{(47,1),(49,1)}
        73:{1,2,4,7}:{(48,1),(49,1),(102,1),(104,1)}
        74:{1,2,3,6}:{(49,1),(103,1),(104,1),(174,1)}
        75:{1,3,4,5,7}:{(50,1),(61,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(62,1),(105,1),(108,1),(109,1),(132,1),(188,1),(289,1),(467,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(111,1),(139,1),(206,1)}
        78:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(111,1),(112,1),(113,1),(119,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(113,1),(114,1),(298,1),(328,1),(526,1)}
        80:{1,3,4,7}:{(53,1),(112,1),(114,1),(115,1),(519,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(110,1),(116,1),(136,1),(194,1),(202,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(112,1),(118,1),(119,1),(198,1),(202,1),(294,1)}
        84:{2,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(120,1),(121,1),(416,1)}
        85:{2,3,4,6}:{(59,1),(62,1),(105,1),(122,1),(123,1),(214,1),(289,1),(419,1)}
        86:{2,4,5,6}:{(57,1),(63,1),(117,1),(120,1),(124,1),(132,1),(206,1)}
        87:{3,4,6}:{(57,1),(58,1),(124,1)}
        88:{2,3,4,5,7}:{(58,1),(59,1),(65,1),(119,1),(122,1),(125,1),(126,1),(211,1),(218,1),(303,1),(389,1),(393,1),(416,1),(420,1),(488,1),(528,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(123,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(63,1),(120,1),(128,1),(308,1)}
        91:{1,3,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(121,1),(128,1),(129,1)}
        92:{2,4,7}:{(61,1),(62,1),(68,1),(130,1)}
        93:{1,4,6}:{(62,1),(66,1),(69,1),(130,1)}
        94:{1,3,5,6}:{(63,1),(64,1),(124,1),(128,1),(132,1)}
        95:{2,4,6}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
        96:{1,4,5,7}:{(65,1),(66,1),(71,1),(130,1),(133,1),(220,1)}
        97:{1,2,4,5}:{(66,1),(72,1),(127,1),(131,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(70,1),(129,1),(136,1),(287,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(130,1),(136,1),(137,1),(220,1),(222,1)}
       100:{1,2,5,6}:{(69,1),(72,1),(131,1),(137,1),(139,1),(188,1)}
       101:{1,3,6}:{(70,1),(71,1),(133,1),(139,1)}
       102:{1,2,5,7}:{(71,1),(72,1),(73,1),(139,1)}
       103:{1,2,3,5}:{(72,1),(74,1),(135,1),(141,1)}
       104:{1,2,3,7}:{(73,1),(74,1),(222,1)}
       105:{2,3,5,6}:{(76,1),(85,1),(143,1),(144,1),(372,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(92,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(93,1),(144,1),(147,1),(175,1),(336,1),(494,1)}
       110:{1,2,5,6,7}:{(77,1),(81,1),(149,1),(179,1),(254,1),(272,1),(333,1),(338,1)}
       111:{1,2,4,6}:{(77,1),(78,1),(82,1),(151,1),(159,1)}
       112:{1,3,5,7}:{(78,1),(80,1),(151,1),(152,1),(153,1)}
       113:{1,2,4,5}:{(79,1),(153,1),(249,1),(280,1),(378,1)}
       114:{1,3,4,6}:{(79,1),(80,1),(151,1),(153,1),(154,1),(502,1),(506,1)}
       115:{2,3,4,7}:{(80,1),(152,1),(154,1),(155,1),(345,1),(498,1)}
       116:{1,4,6,7}:{(81,1),(82,1),(84,1),(156,1),(375,1)}
       117:{1,4,5,6}:{(82,1),(86,1),(156,1),(158,1),(175,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(87,1),(151,1),(158,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(152,1),(159,1),(160,1),(249,1),(254,1),(345,1)}
       120:{2,4,5,7}:{(84,1),(86,1),(90,1),(156,1),(162,1),(171,1),(254,1)}
       121:{3,4,6,7}:{(84,1),(87,1),(162,1),(428,1),(455,1)}
       122:{2,3,4,7}:{(85,1),(92,1),(143,1),(164,1),(266,1),(340,1),(455,1)}
       123:{1,3,4,6}:{(85,1),(89,1),(93,1),(144,1),(164,1),(165,1),(174,1),(257,1),(336,1)}
       124:{3,5,6}:{(86,1),(87,1),(162,1)}
       125:{2,3,4,6}:{(87,1),(88,1),(95,1),(159,1),(167,1),(168,1),(270,1),(373,1),(431,1),(513,1),(541,1)}
       126:{1,3,4,5,7}:{(88,1),(89,1),(96,1),(160,1),(164,1),(168,1),(169,1),(177,1),(261,1),(264,1),(355,1),(375,1),(378,1),(427,1),(434,1),(448,1),(454,1),(455,1),(458,1),(540,1)}
       127:{2,4,5}:{(89,1),(165,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(94,1),(162,1),(171,1)}
       129:{2,4,6,7}:{(91,1),(92,1),(95,1),(98,1),(171,1),(172,1)}
       130:{1,4,7}:{(92,1),(93,1),(99,1)}
       131:{1,2,4,6}:{(93,1),(97,1),(100,1),(165,1),(173,1),(174,1)}
       132:{2,5,6}:{(94,1),(95,1),(171,1),(175,1)}
       133:{1,4,6}:{(95,1),(96,1),(101,1),(175,1)}
       134:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(169,1),(173,1),(176,1),(177,1),(183,1),(272,1),(280,1),(375,1),(378,1),(443,1),(497,1),(540,1),(550,1)}
       135:{1,3,5}:{(97,1),(170,1),(174,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(101,1),(172,1),(179,1)}
       137:{1,2,5,7}:{(99,1),(100,1),(173,1),(179,1),(236,1)}
       138:{1,2,3,5,6}:{(100,1),(103,1),(174,1),(180,1),(181,1),(182,1),(237,1),(275,1),(276,1),(280,1),(377,1),(379,1)}
       139:{1,2,6}:{(101,1),(102,1)}
       140:{1,2,3,5,7}:{(102,1),(103,1),(104,1),(177,1),(182,1),(183,1),(280,1),(505,1),(534,1),(550,1)}
       141:{1,2,4}:{(103,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(122,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(123,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(130,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(131,1),(188,1),(191,1),(192,1),(224,1),(229,1),(289,1),(322,1),(328,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,6,7}:{(110,1),(111,1),(116,1),(193,1),(194,1),(203,1),(381,1),(386,1),(460,1)}
       150:{1,2,4,5,6}:{(111,1),(113,1),(117,1),(193,1),(195,1),(206,1),(224,1),(298,1),(313,1),(322,1),(328,1),(411,1),(474,1)}
       151:{1,3,6}:{(111,1),(112,1),(196,1)}
       152:{2,3,5,7}:{(112,1),(115,1),(119,1),(196,1),(197,1),(199,1)}
       153:{1,3,5}:{(113,1),(114,1),(199,1)}
       154:{2,3,4,6}:{(114,1),(115,1),(196,1),(199,1),(200,1),(298,1),(475,1),(479,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(394,1),(470,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(202,1),(220,1)}
       157:{1,3,4,6,7}:{(116,1),(118,1),(121,1),(194,1),(202,1),(203,1),(294,1)}
       158:{1,3,5,6}:{(117,1),(118,1),(124,1),(202,1),(206,1)}
       159:{2,4,6}:{(118,1),(119,1),(196,1),(206,1),(207,1)}
       160:{1,4,5,7}:{(119,1),(197,1),(207,1),(304,1),(308,1),(394,1)}
       161:{1,2,4,5}:{(127,1),(204,1),(209,1),(302,1),(385,1),(398,1)}
       162:{3,5,7}:{(120,1),(121,1),(124,1)}
       163:{2,3,4,6,7}:{(121,1),(122,1),(125,1),(129,1),(186,1),(203,1),(211,1),(212,1),(285,1),(319,1),(380,1),(388,1),(393,1),(416,1),(465,1),(515,1)}
       164:{1,3,4,7}:{(122,1),(123,1),(130,1),(187,1),(213,1),(222,1),(310,1),(384,1)}
       165:{2,4,6}:{(123,1),(127,1),(188,1),(213,1),(214,1)}
       166:{3,4,5,6}:{(124,1),(210,1),(215,1),(419,1),(518,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(132,1),(206,1),(211,1),(215,1),(216,1),(467,1),(518,1),(543,1)}
       168:{1,3,4,6}:{(125,1),(126,1),(133,1),(207,1),(216,1),(217,1),(225,1),(315,1),(328,1),(413,1),(419,1),(464,1),(548,1)}
       169:{2,4,5,7}:{(126,1),(127,1),(213,1),(217,1),(218,1),(318,1),(403,1),(416,1),(420,1),(469,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(214,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(132,1),(220,1)}
       172:{1,4,6,7}:{(129,1),(130,1),(133,1),(136,1),(220,1)}
       173:{1,2,4,7}:{(130,1),(131,1),(137,1),(213,1),(222,1)}
       174:{1,3,6}:{(131,1),(135,1),(214,1),(222,1)}
       175:{1,5,6}:{(132,1),(133,1),(220,1)}
       176:{1,2,4,6}:{(133,1),(134,1),(139,1),(217,1),(224,1),(225,1),(328,1),(548,1),(552,1)}
       177:{1,3,5,7}:{(134,1),(135,1),(218,1),(222,1),(225,1),(226,1),(329,1),(478,1),(519,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,5,7}:{(137,1),(138,1),(222,1),(227,1),(228,1),(288,1),(325,1),(327,1),(330,1)}
       181:{1,2,4,6}:{(138,1),(141,1),(223,1),(228,1),(229,1),(289,1),(328,1)}
       182:{1,2,3,6}:{(139,1),(140,1),(225,1),(230,1),(552,1)}
       183:{1,2,4,7}:{(140,1),(141,1),(226,1),(230,1),(526,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(162,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(164,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(165,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(173,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(174,1),(237,1),(240,1),(241,1),(275,1),(372,1),(377,1)}
       193:{1,2,4,5,7}:{(149,1),(150,1),(156,1),(242,1),(254,1),(272,1),(345,1),(359,1),(368,1),(375,1),(446,1),(497,1)}
       194:{1,3,6,7}:{(149,1),(151,1),(242,1),(243,1),(428,1)}
       195:{1,3,5,6}:{(150,1),(151,1),(153,1),(242,1),(244,1),(245,1),(372,1),(502,1)}
       196:{2,3,6}:{(151,1),(152,1),(159,1),(246,1)}
       197:{1,3,5,7}:{(152,1),(155,1),(160,1),(246,1),(247,1),(250,1)}
       198:{1,3,4,5}:{(153,1),(244,1),(249,1),(378,1),(458,1)}
       199:{2,3,5}:{(153,1),(154,1),(249,1),(250,1)}
       200:{1,3,4,6}:{(154,1),(155,1),(246,1),(250,1),(251,1),(351,1),(440,1),(445,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(251,1),(252,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(158,1),(162,1),(254,1)}
       203:{2,4,6,7}:{(157,1),(159,1),(243,1),(254,1),(255,1),(345,1)}
       204:{1,2,4,6}:{(161,1),(165,1),(232,1),(256,1),(257,1),(336,1)}
       205:{1,3,4,5,6}:{(158,1),(166,1),(244,1),(253,1),(258,1),(268,1),(364,1),(372,1),(453,1),(533,1)}
       206:{2,5,6}:{(158,1),(159,1),(254,1),(259,1)}
       207:{1,4,6}:{(159,1),(160,1),(246,1),(259,1)}
       208:{1,2,4,5,7}:{(160,1),(161,1),(169,1),(247,1),(256,1),(260,1),(261,1),(354,1),(356,1),(360,1),(427,1),(435,1),(438,1),(442,1),(448,1),(454,1)}
       209:{1,3,5}:{(161,1),(170,1),(257,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(166,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,3,5,7}:{(162,1),(163,1),(167,1),(171,1),(254,1),(263,1),(264,1),(430,1),(495,1),(532,1)}
       212:{1,3,4,6,7}:{(163,1),(164,1),(168,1),(172,1),(235,1),(255,1),(264,1),(265,1),(273,1),(337,1),(361,1),(375,1),(423,1),(426,1),(428,1),(434,1),(448,1),(455,1),(531,1)}
       213:{2,4,7}:{(164,1),(165,1),(236,1),(266,1)}
       214:{2,3,6}:{(165,1),(170,1),(174,1),(257,1),(266,1)}
       215:{2,4,5,6}:{(166,1),(167,1),(263,1),(268,1),(373,1)}
       216:{1,3,5,6}:{(167,1),(168,1),(175,1),(259,1),(264,1),(268,1),(269,1),(372,1),(494,1),(549,1)}
       217:{2,4,6}:{(168,1),(169,1),(269,1),(270,1)}
       218:{2,3,5,7}:{(169,1),(170,1),(177,1),(261,1),(266,1),(270,1),(271,1),(374,1),(444,1),(498,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(175,1)}
       221:{1,2,4,6,7}:{(172,1),(173,1),(176,1),(179,1),(265,1),(272,1),(273,1),(375,1),(490,1),(497,1),(531,1)}
       222:{1,3,7}:{(173,1),(174,1),(266,1)}
       223:{1,3,4,6}:{(174,1),(178,1),(181,1),(267,1),(274,1),(275,1),(377,1)}
       224:{1,2,5,6}:{(175,1),(176,1),(269,1),(272,1),(276,1),(280,1),(549,1)}
       225:{1,3,6}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,7}:{(177,1),(178,1),(183,1),(271,1),(277,1),(375,1),(506,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(273,1),(278,1),(339,1),(377,1),(534,1)}
       228:{1,2,4,7}:{(180,1),(181,1),(274,1),(340,1),(375,1)}
       229:{1,2,4,5}:{(181,1),(275,1),(280,1),(341,1),(378,1)}
       230:{1,2,4,6}:{(182,1),(183,1),(277,1),(280,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(202,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(204,1),(283,1),(284,1),(398,1),(473,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(211,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(213,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(214,1),(284,1),(288,1),(289,1),(321,1),(418,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(222,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(328,1),(419,1)}
       242:{1,3,5,7}:{(193,1),(194,1),(195,1),(294,1),(295,1),(415,1),(519,1)}
       243:{2,3,6,7}:{(194,1),(196,1),(203,1),(295,1),(296,1),(460,1)}
       244:{1,3,4,6}:{(195,1),(198,1),(294,1),(298,1),(328,1),(419,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(206,1),(295,1),(298,1),(299,1),(411,1),(475,1)}
       246:{1,3,6}:{(196,1),(197,1),(207,1),(300,1)}
       247:{1,2,5,7}:{(197,1),(201,1),(300,1),(305,1)}
       248:{1,2,3,5}:{(209,1),(297,1),(302,1),(398,1)}
       249:{2,4,5}:{(198,1),(199,1),(298,1),(304,1)}
       250:{1,3,5}:{(199,1),(200,1),(304,1),(305,1)}
       251:{1,2,4,6}:{(200,1),(201,1),(300,1),(305,1),(306,1),(405,1)}
       252:{1,2,3,7}:{(201,1),(306,1),(470,1)}
       253:{1,3,4,5,7}:{(202,1),(205,1),(210,1),(281,1),(294,1),(307,1),(317,1),(406,1),(415,1),(482,1),(516,1)}
       254:{2,5,7}:{(202,1),(203,1),(206,1),(308,1)}
       255:{1,4,6,7}:{(203,1),(207,1),(296,1),(308,1),(394,1)}
       256:{1,2,4,7}:{(204,1),(213,1),(283,1),(310,1),(384,1)}
       257:{1,3,6}:{(204,1),(209,1),(214,1),(310,1)}
       258:{2,4,5,6}:{(205,1),(206,1),(298,1),(307,1),(312,1),(313,1),(411,1),(486,1),(543,1)}
       259:{1,5,6}:{(206,1),(207,1),(308,1)}
       260:{1,2,4,6}:{(207,1),(208,1),(217,1),(300,1),(314,1),(315,1),(413,1),(464,1),(473,1)}
       261:{1,3,5,7}:{(208,1),(209,1),(218,1),(310,1),(315,1),(316,1),(404,1),(414,1),(470,1)}
       262:{1,3,4}:{(209,1),(219,1),(302,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(215,1),(285,1),(317,1),(416,1)}
       264:{1,3,5,7}:{(211,1),(212,1),(216,1),(220,1),(308,1),(317,1),(318,1),(415,1),(463,1),(542,1)}
       265:{2,4,6,7}:{(212,1),(213,1),(217,1),(287,1),(318,1),(319,1),(416,1),(460,1),(469,1)}
       266:{2,3,7}:{(213,1),(214,1),(222,1),(310,1)}
       267:{2,3,4,6}:{(214,1),(219,1),(223,1),(289,1),(311,1),(320,1),(321,1),(418,1)}
       268:{1,4,5,6}:{(215,1),(216,1),(317,1),(322,1),(328,1),(413,1)}
       269:{2,5,6}:{(216,1),(217,1),(318,1)}
       270:{2,3,6}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,7}:{(218,1),(219,1),(226,1),(316,1),(324,1),(416,1),(479,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(224,1),(318,1),(325,1),(542,1)}
       273:{1,3,6,7}:{(221,1),(222,1),(225,1),(319,1),(325,1),(519,1)}
       274:{1,3,4,7}:{(222,1),(223,1),(228,1),(320,1),(327,1)}
       275:{1,3,5}:{(223,1),(229,1),(321,1)}
       276:{1,3,5,6}:{(224,1),(225,1),(323,1),(325,1),(328,1),(329,1)}
       277:{1,3,4,6}:{(225,1),(226,1),(230,1),(324,1),(328,1),(329,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(230,1),(326,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,4,5,7}:{(228,1),(229,1),(327,1),(330,1),(331,1),(389,1),(421,1)}
       280:{1,2,5}:{(230,1),(329,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(254,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(256,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(257,1),(335,1),(336,1),(363,1),(450,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(264,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(266,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(377,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(275,1),(341,1),(378,1),(458,1)}
       294:{1,3,4,7}:{(242,1),(244,1),(345,1),(375,1),(455,1)}
       295:{2,3,5,7}:{(242,1),(243,1),(245,1),(254,1),(345,1),(346,1),(446,1),(498,1)}
       296:{1,3,6,7}:{(243,1),(246,1),(255,1),(346,1),(347,1)}
       297:{1,2,3,6}:{(248,1),(257,1),(348,1),(349,1)}
       298:{2,4,6}:{(244,1),(245,1),(249,1),(345,1),(351,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(250,1),(259,1),(346,1),(351,1),(352,1),(440,1)}
       300:{1,2,6}:{(246,1),(247,1)}
       301:{1,2,3,5,7}:{(247,1),(248,1),(252,1),(261,1),(348,1),(353,1),(354,1),(357,1),(438,1),(442,1)}
       302:{1,2,4}:{(248,1),(262,1)}
       303:{2,3,4,5}:{(249,1),(350,1),(355,1),(444,1),(458,1),(512,1)}
       304:{1,4,5}:{(249,1),(250,1),(351,1)}
       305:{1,2,5}:{(250,1),(251,1)}
       306:{1,2,3,6}:{(251,1),(252,1),(357,1),(440,1)}
       307:{2,4,5,7}:{(253,1),(254,1),(258,1),(332,1),(345,1),(358,1),(359,1),(446,1),(508,1),(532,1)}
       308:{1,5,7}:{(254,1),(255,1),(259,1)}
       309:{1,2,4,6,7}:{(255,1),(256,1),(260,1),(265,1),(334,1),(347,1),(360,1),(361,1),(426,1),(435,1),(448,1)}
       310:{1,3,7}:{(256,1),(257,1),(266,1)}
       311:{1,3,4,6}:{(257,1),(262,1),(267,1),(336,1),(349,1),(362,1),(363,1),(450,1)}
       312:{2,3,5,6}:{(258,1),(350,1),(358,1),(364,1),(372,1)}
       313:{1,4,5,6}:{(258,1),(259,1),(351,1),(359,1),(364,1),(511,1),(549,1)}
       314:{1,2,5,6}:{(259,1),(260,1),(269,1),(360,1),(366,1),(442,1),(494,1)}
       315:{1,3,6}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,7}:{(261,1),(262,1),(271,1),(354,1),(367,1),(445,1),(448,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(268,1),(337,1),(368,1),(375,1),(448,1)}
       318:{2,5,7}:{(264,1),(265,1),(269,1)}
       319:{2,3,6,7}:{(265,1),(266,1),(270,1),(273,1),(361,1),(369,1),(428,1),(498,1)}
       320:{2,3,4,7}:{(266,1),(267,1),(274,1),(340,1),(362,1),(371,1)}
       321:{2,3,5}:{(267,1),(275,1),(341,1),(363,1)}
       322:{2,4,5,6}:{(268,1),(269,1),(368,1),(372,1),(373,1)}
       323:{2,3,5,6}:{(269,1),(270,1),(276,1),(366,1),(369,1),(372,1),(373,1),(374,1)}
       324:{2,3,4,6}:{(270,1),(271,1),(277,1),(367,1),(373,1),(374,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(276,1),(369,1),(375,1)}
       326:{1,3,4,6,7}:{(273,1),(274,1),(277,1),(278,1),(370,1),(375,1),(376,1),(377,1),(459,1),(531,1),(535,1),(551,1)}
       327:{1,3,5,7}:{(274,1),(275,1),(279,1),(371,1),(377,1)}
       328:{1,4,6}:{(276,1),(373,1),(375,1),(378,1)}
       329:{1,3,5}:{(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(280,1),(376,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(279,1),(377,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(307,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(308,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(473,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(310,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(318,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(418,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(321,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(327,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,4,7}:{(294,1),(295,1),(298,1),(394,1)}
       346:{1,3,5,7}:{(295,1),(296,1),(299,1),(308,1),(394,1),(395,1),(470,1)}
       347:{1,2,6,7}:{(296,1),(300,1),(395,1),(460,1)}
       348:{1,2,3,7}:{(297,1),(310,1),(397,1)}
       349:{1,2,4,6}:{(297,1),(302,1),(311,1),(397,1),(398,1),(473,1)}
       350:{2,3,4,6}:{(298,1),(303,1),(312,1),(393,1),(399,1),(419,1),(475,1),(486,1)}
       351:{1,4,6}:{(298,1),(299,1),(304,1),(394,1)}
       352:{1,2,5,6}:{(299,1),(300,1),(305,1),(395,1),(400,1),(411,1)}
       353:{1,2,3,6}:{(300,1),(301,1),(315,1),(402,1),(473,1)}
       354:{1,2,4,7}:{(301,1),(302,1),(316,1),(402,1),(405,1)}
       355:{1,3,4,5}:{(303,1),(304,1),(399,1),(403,1),(404,1),(478,1),(530,1)}
       356:{1,2,4,5}:{(304,1),(305,1),(400,1),(403,1),(404,1),(405,1)}
       357:{1,2,3,5}:{(305,1),(306,1),(404,1),(405,1)}
       358:{2,3,5,7}:{(307,1),(312,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,4,5,7}:{(307,1),(308,1),(313,1),(381,1),(394,1),(406,1),(527,1),(542,1)}
       360:{1,2,5,7}:{(308,1),(309,1),(314,1),(318,1),(408,1),(463,1)}
       361:{1,3,6,7}:{(309,1),(310,1),(315,1),(319,1),(408,1),(470,1)}
       362:{1,3,4,7}:{(310,1),(311,1),(320,1),(384,1),(397,1),(410,1)}
       363:{1,3,5}:{(311,1),(321,1),(385,1),(398,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(399,1),(406,1),(411,1)}
       365:{1,2,4,5,6}:{(313,1),(314,1),(322,1),(400,1),(407,1),(411,1),(412,1),(413,1),(477,1),(486,1),(517,1),(522,1),(543,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(323,1),(408,1),(413,1),(414,1)}
       367:{1,3,4,6}:{(315,1),(316,1),(324,1),(402,1),(413,1),(414,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(322,1),(386,1),(415,1),(416,1)}
       369:{2,3,5,7}:{(318,1),(319,1),(323,1),(325,1),(408,1),(415,1),(416,1)}
       370:{2,3,4,6,7}:{(319,1),(320,1),(324,1),(326,1),(388,1),(409,1),(416,1),(417,1),(418,1),(465,1),(489,1),(515,1),(520,1),(546,1)}
       371:{2,3,5,7}:{(320,1),(321,1),(327,1),(389,1),(410,1),(418,1)}
       372:{3,5,6}:{(322,1),(415,1),(419,1)}
       373:{2,4,6}:{(323,1),(328,1),(413,1),(416,1),(419,1),(420,1)}
       374:{2,3,5}:{(324,1),(329,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(328,1),(416,1)}
       376:{1,3,5,7}:{(326,1),(329,1),(330,1),(417,1),(421,1),(422,1),(542,1)}
       377:{1,3,6}:{(327,1),(331,1),(418,1)}
       378:{1,4,5}:{(328,1),(329,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(359,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(360,1),(424,1),(425,1),(501,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(450,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(363,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(369,1),(425,1),(428,1),(429,1),(430,1),(457,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(371,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(377,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(350,1),(358,1),(434,1),(455,1),(498,1),(508,1)}
       394:{1,4,7}:{(345,1),(346,1),(351,1)}
       395:{1,2,5,7}:{(346,1),(347,1),(352,1),(435,1),(446,1)}
       396:{1,2,3,6,7}:{(347,1),(348,1),(353,1),(361,1),(436,1),(437,1),(491,1),(537,1)}
       397:{1,2,4,7}:{(348,1),(349,1),(362,1),(438,1)}
       398:{1,2,5}:{(349,1),(363,1)}
       399:{1,3,4,6}:{(350,1),(351,1),(355,1),(364,1),(434,1),(439,1),(440,1),(502,1),(511,1)}
       400:{1,2,4,6}:{(351,1),(352,1),(356,1),(435,1),(439,1),(440,1)}
       401:{1,2,3,5,6}:{(352,1),(353,1),(357,1),(366,1),(436,1),(440,1),(441,1),(442,1),(452,1),(501,1),(504,1),(537,1)}
       402:{1,2,4,6}:{(353,1),(354,1),(367,1),(442,1)}
       403:{2,4,5}:{(355,1),(439,1),(444,1)}
       404:{1,3,5}:{(356,1),(440,1),(444,1),(445,1)}
       405:{1,2,4}:{(357,1),(445,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(364,1),(423,1),(434,1),(446,1)}
       407:{1,2,4,5,7}:{(359,1),(360,1),(365,1),(368,1),(424,1),(435,1),(446,1),(447,1),(448,1),(493,1),(508,1),(532,1)}
       408:{1,3,5,7}:{(360,1),(361,1),(366,1),(369,1),(448,1)}
       409:{1,3,4,6,7}:{(361,1),(362,1),(367,1),(370,1),(426,1),(437,1),(448,1),(449,1),(450,1),(499,1),(510,1),(537,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(371,1),(427,1),(438,1),(450,1)}
       411:{2,5,6}:{(364,1),(439,1),(446,1)}
       412:{1,3,5,6}:{(365,1),(372,1),(440,1),(447,1),(452,1),(453,1),(504,1),(537,1)}
       413:{1,4,6}:{(366,1),(373,1),(448,1),(454,1)}
       414:{1,3,5}:{(367,1),(374,1),(442,1),(454,1)}
       415:{3,5,7}:{(368,1),(372,1),(428,1),(455,1)}
       416:{2,4,7}:{(369,1),(373,1),(375,1),(448,1),(455,1)}
       417:{2,3,5,7}:{(370,1),(374,1),(376,1),(430,1),(449,1),(456,1),(457,1),(495,1),(532,1)}
       418:{2,3,6}:{(371,1),(377,1),(431,1),(450,1)}
       419:{3,4,6}:{(372,1),(373,1),(455,1),(458,1)}
       420:{2,4,5}:{(373,1),(374,1),(378,1),(454,1),(458,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(378,1),(456,1),(459,1)}
       422:{1,3,5,6}:{(376,1),(377,1),(379,1),(457,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(407,1),(460,1),(461,1),(462,1),(515,1),(522,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(408,1),(461,1),(462,1),(463,1),(484,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(410,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(416,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(418,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,3,4,7}:{(393,1),(394,1),(399,1),(406,1),(469,1),(470,1),(519,1),(527,1)}
       435:{1,2,4,7}:{(394,1),(395,1),(400,1),(469,1),(470,1)}
       436:{1,2,3,5,7}:{(395,1),(396,1),(401,1),(408,1),(470,1),(471,1),(472,1),(481,1),(521,1)}
       437:{1,2,4,6,7}:{(396,1),(397,1),(402,1),(409,1),(471,1),(472,1),(473,1),(515,1),(522,1)}
       438:{1,2,5,7}:{(397,1),(398,1),(410,1),(473,1)}
       439:{2,4,6}:{(399,1),(403,1),(411,1),(469,1),(475,1)}
       440:{1,3,6}:{(400,1),(404,1),(470,1),(475,1)}
       441:{1,2,4,6}:{(401,1),(405,1),(413,1),(471,1),(476,1),(477,1),(486,1)}
       442:{1,2,5}:{(402,1),(414,1)}
       443:{1,2,4,5}:{(403,1),(474,1),(478,1),(526,1),(530,1),(547,1)}
       444:{2,3,5}:{(403,1),(404,1),(475,1),(478,1),(479,1)}
       445:{1,3,4}:{(404,1),(405,1),(479,1)}
       446:{2,5,7}:{(406,1),(411,1),(460,1),(469,1)}
       447:{1,3,5,7}:{(407,1),(412,1),(415,1),(461,1),(470,1),(481,1),(482,1)}
       448:{1,4,7}:{(408,1),(413,1),(416,1)}
       449:{1,3,5,7}:{(409,1),(414,1),(417,1),(463,1),(472,1),(483,1),(484,1)}
       450:{1,3,6}:{(410,1),(418,1),(464,1),(473,1)}
       451:{1,2,5,6}:{(411,1),(474,1),(480,1),(485,1),(547,1),(552,1)}
       452:{2,3,5,6}:{(411,1),(412,1),(475,1),(481,1),(485,1),(486,1),(525,1),(543,1),(546,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(419,1),(482,1),(486,1),(487,1)}
       454:{1,4,5}:{(413,1),(414,1),(420,1)}
       455:{3,4,7}:{(415,1),(416,1),(419,1)}
       456:{2,4,5,7}:{(416,1),(417,1),(420,1),(421,1),(483,1),(488,1),(489,1)}
       457:{2,3,5,6}:{(417,1),(418,1),(422,1),(467,1),(484,1),(489,1),(518,1),(543,1),(546,1)}
       458:{3,4,5}:{(419,1),(420,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(446,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(447,1),(491,1),(537,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(448,1),(493,1),(510,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(450,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{2,4,7}:{(434,1),(439,1),(446,1),(498,1)}
       470:{1,3,7}:{(435,1),(440,1),(498,1)}
       471:{1,2,4,7}:{(436,1),(441,1),(448,1),(499,1),(508,1)}
       472:{1,2,5,7}:{(437,1),(442,1),(449,1),(501,1),(532,1)}
       473:{1,2,6}:{(438,1),(450,1)}
       474:{1,2,4,6}:{(439,1),(443,1),(451,1),(497,1),(502,1),(511,1)}
       475:{2,3,6}:{(439,1),(440,1),(444,1),(498,1),(502,1)}
       476:{1,3,4,6}:{(440,1),(441,1),(445,1),(499,1),(503,1),(504,1),(537,1)}
       477:{1,2,4,5}:{(441,1),(442,1),(454,1),(504,1),(512,1)}
       478:{1,3,5}:{(443,1),(444,1),(502,1),(506,1)}
       479:{2,3,4}:{(444,1),(445,1),(506,1)}
       480:{1,2,5,7}:{(446,1),(451,1),(490,1),(497,1),(507,1)}
       481:{2,3,5,7}:{(446,1),(447,1),(452,1),(491,1),(498,1),(507,1),(508,1),(532,1)}
       482:{1,3,4,7}:{(447,1),(448,1),(453,1),(455,1),(508,1)}
       483:{1,4,5,7}:{(448,1),(449,1),(454,1),(456,1),(510,1)}
       484:{1,3,5,6}:{(449,1),(450,1),(457,1),(494,1),(501,1),(510,1),(537,1)}
       485:{1,3,5,6}:{(451,1),(452,1),(502,1),(507,1),(511,1),(539,1),(549,1),(551,1)}
       486:{2,4,6}:{(452,1),(453,1),(508,1),(511,1),(512,1)}
       487:{1,3,4,5}:{(453,1),(454,1),(458,1),(504,1),(512,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(458,1),(495,1),(513,1)}
       489:{2,4,6}:{(456,1),(457,1),(459,1),(510,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(481,1),(514,1),(515,1),(546,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(482,1),(515,1),(516,1),(529,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,4,7}:{(469,1),(474,1),(480,1),(519,1),(527,1)}
       498:{2,3,7}:{(469,1),(470,1),(475,1),(519,1)}
       499:{1,3,4,7}:{(470,1),(471,1),(476,1),(520,1),(521,1)}
       500:{1,2,4,5,7}:{(471,1),(472,1),(477,1),(483,1),(521,1),(522,1),(528,1)}
       501:{1,2,5,6}:{(472,1),(473,1),(484,1),(522,1),(543,1)}
       502:{1,3,6}:{(474,1),(475,1),(478,1),(519,1)}
       503:{2,3,4,6}:{(475,1),(476,1),(479,1),(486,1),(520,1),(524,1),(525,1),(546,1)}
       504:{1,3,5}:{(476,1),(477,1),(525,1)}
       505:{1,2,3,5}:{(478,1),(523,1),(526,1),(547,1)}
       506:{1,3,4}:{(478,1),(479,1),(526,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(485,1),(514,1),(519,1),(527,1),(542,1)}
       508:{2,4,7}:{(481,1),(482,1),(486,1),(527,1)}
       509:{1,3,4,5,7}:{(482,1),(483,1),(487,1),(488,1),(516,1),(521,1),(528,1),(529,1)}
       510:{1,4,6}:{(483,1),(484,1),(489,1)}
       511:{1,4,6}:{(485,1),(486,1),(527,1),(530,1)}
       512:{2,4,5}:{(486,1),(487,1),(525,1),(530,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(508,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(510,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,3,7}:{(497,1),(498,1),(502,1)}
       520:{2,3,4,7}:{(498,1),(499,1),(503,1),(508,1),(535,1),(536,1)}
       521:{1,3,5,7}:{(499,1),(500,1),(504,1),(536,1),(537,1)}
       522:{1,2,4,6}:{(500,1),(501,1),(510,1),(537,1),(541,1)}
       523:{1,2,3,6}:{(502,1),(505,1),(534,1),(538,1)}
       524:{1,3,4,6}:{(502,1),(503,1),(506,1),(511,1),(535,1),(538,1),(539,1),(551,1)}
       525:{2,3,5}:{(503,1),(504,1),(512,1),(539,1)}
       526:{1,2,4}:{(505,1),(506,1)}
       527:{1,4,7}:{(507,1),(508,1),(511,1)}
       528:{2,4,5,7}:{(508,1),(509,1),(512,1),(532,1),(536,1),(540,1),(541,1)}
       529:{1,3,4,6}:{(509,1),(510,1),(513,1),(533,1),(537,1),(541,1)}
       530:{1,4,5}:{(511,1),(512,1),(539,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(529,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(523,1),(544,1)}
       535:{1,3,4,7}:{(519,1),(520,1),(524,1),(527,1),(544,1),(545,1)}
       536:{2,3,5,7}:{(520,1),(521,1),(525,1),(528,1),(545,1),(546,1)}
       537:{1,3,6}:{(521,1),(522,1),(546,1)}
       538:{1,2,4,6}:{(523,1),(524,1),(526,1),(544,1),(547,1),(552,1)}
       539:{1,3,5}:{(524,1),(525,1),(530,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(530,1),(542,1),(545,1),(548,1)}
       541:{2,4,6}:{(528,1),(529,1),(543,1),(546,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(538,1),(550,1)}
       545:{1,3,5,7}:{(535,1),(536,1),(539,1),(540,1),(550,1),(551,1)}
       546:{2,3,6}:{(536,1),(537,1),(541,1),(551,1)}
       547:{1,2,5}:{(538,1),(539,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,3,6}:{(545,1),(546,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1816 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(67,1),(149,1),(234,1),(254,1),(259,1),(364,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(102,1),(412,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(311,1),(411,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(146,1),(254,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(259,1),(365,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(452,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(149,1),(346,1),(363,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(104,1),(204,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(311,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(99,1),(119,1),(121,1),(185,1),(200,1),(315,1),(322,1),(412,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(202,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(261,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(254,1),(374,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(256,1),(283,1),(363,1),(387,1),(390,1),(452,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(143,1),(167,1),(169,1),(242,1),(257,1),(366,1),(373,1),(452,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(259,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(412,1),(419,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(185,1),(204,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(206,1),(227,1),(231,1),(318,1),(336,1),(339,1),(418,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(311,1),(421,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(313,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(195,1),(300,1),(405,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(74,1),(81,1),(138,1),(158,1),(163,1),(239,1),(248,1),(251,1),(271,1)}
        41:{1,3,4,5,6}:{(26,1),(65,1),(66,1),(80,1),(136,1),(245,1),(267,1),(269,1),(359,1),(374,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(69,1),(150,1),(238,1),(372,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(519,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(452,1),(459,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(242,1),(261,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(263,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(448,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(365,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(252,1),(355,1),(366,1),(471,1)}
        63:{1,2,4,6}:{(40,1),(43,1),(95,1),(96,1),(97,1),(295,1),(327,1)}
        64:{1,2,3,5,7}:{(40,1),(97,1),(98,1),(122,1),(190,1),(194,1),(213,1),(297,1),(326,1)}
        65:{2,4,5,6}:{(41,1),(46,1),(94,1),(99,1),(100,1),(119,1),(185,1),(295,1),(401,1)}
        66:{1,3,4,5,7}:{(41,1),(48,1),(100,1),(101,1),(120,1),(186,1),(303,1),(323,1),(325,1),(407,1),(421,1)}
        67:{1,2,3,5}:{(93,1),(102,1),(180,1),(198,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(106,1),(110,1),(198,1),(287,1)}
        69:{2,3,4,6}:{(42,1),(46,1),(94,1),(106,1),(108,1),(204,1),(295,1),(419,1)}
        70:{2,3,4,5,7}:{(42,1),(47,1),(107,1),(108,1),(109,1),(131,1),(205,1),(211,1),(230,1),(296,1),(320,1),(404,1),(418,1),(420,1),(476,1),(493,1)}
        71:{1,3,4}:{(43,1),(104,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(105,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(538,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(185,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(537,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(300,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(320,1),(418,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(411,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(254,1)}
        94:{2,3,5,6}:{(65,1),(69,1),(136,1),(137,1),(374,1)}
        95:{1,3,4,6}:{(63,1),(71,1),(135,1),(138,1),(139,1),(158,1),(248,1)}
        96:{1,2,4,5}:{(63,1),(138,1),(163,1),(238,1),(272,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(139,1),(350,1),(377,1)}
        98:{1,2,3,6,7}:{(64,1),(74,1),(142,1),(170,1),(248,1),(270,1),(352,1),(511,1)}
        99:{1,4,5,6}:{(65,1),(75,1),(136,1),(143,1),(166,1),(341,1),(436,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(77,1),(137,1),(143,1),(144,1),(167,1),(242,1),(350,1),(444,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(356,1),(357,1),(448,1)}
       102:{1,2,4}:{(67,1),(146,1)}
       103:{1,2,3,5,7}:{(67,1),(134,1),(148,1),(149,1),(235,1),(255,1),(259,1),(388,1),(389,1),(470,1)}
       104:{2,3,4}:{(71,1),(146,1),(150,1)}
       105:{2,4,5}:{(68,1),(150,1),(152,1)}
       106:{1,3,4,6}:{(68,1),(69,1),(75,1),(136,1),(152,1),(154,1),(158,1),(254,1),(341,1)}
       107:{1,3,4,5,7}:{(68,1),(70,1),(76,1),(153,1),(154,1),(155,1),(159,1),(255,1),(266,1),(272,1),(286,1),(342,1),(365,1),(372,1),(377,1),(452,1),(459,1),(461,1),(507,1),(520,1)}
       108:{2,3,4,7}:{(69,1),(77,1),(137,1),(154,1),(261,1),(350,1),(459,1)}
       109:{2,3,4,6}:{(70,1),(78,1),(155,1),(157,1),(178,1),(262,1),(285,1),(351,1),(371,1),(447,1),(506,1)}
       110:{1,3,5}:{(71,1),(72,1),(150,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(151,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(152,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(153,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(516,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(518,1),(519,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(242,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(355,1),(370,1),(384,1),(386,1),(448,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(372,1),(459,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(452,1)}
       133:{1,2,4,6}:{(93,1),(102,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(311,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(204,1),(295,1),(298,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(106,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(108,1),(186,1),(187,1),(421,1)}
       138:{1,3,5}:{(95,1),(96,1),(183,1)}
       139:{1,3,4,7}:{(95,1),(97,1),(184,1),(190,1),(213,1)}
       140:{1,2,4,5,6}:{(96,1),(99,1),(112,1),(185,1),(189,1),(192,1),(193,1),(217,1),(295,1),(322,1),(327,1),(401,1),(408,1)}
       141:{1,2,4,5,7}:{(96,1),(97,1),(190,1),(193,1),(194,1),(296,1),(307,1)}
       142:{1,2,4,6,7}:{(97,1),(98,1),(114,1),(191,1),(193,1),(194,1),(400,1),(480,1),(532,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(116,1),(186,1),(195,1),(220,1),(391,1),(472,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(300,1)}
       145:{1,3,5,6,7}:{(101,1),(120,1),(196,1),(197,1),(310,1),(407,1)}
       146:{1,3,4}:{(102,1),(104,1),(198,1)}
       147:{1,2,4,5}:{(102,1),(105,1),(180,1),(198,1),(200,1),(287,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(199,1),(202,1),(502,1)}
       149:{1,2,3,6}:{(103,1),(202,1),(292,1),(312,1),(434,1)}
       150:{2,3,5}:{(104,1),(105,1),(110,1),(198,1),(204,1)}
       151:{2,3,4,7}:{(104,1),(111,1),(199,1),(205,1),(206,1),(418,1),(541,1)}
       152:{2,4,6}:{(105,1),(106,1),(185,1),(204,1),(207,1)}
       153:{2,4,5,7}:{(105,1),(107,1),(205,1),(207,1),(208,1),(320,1),(321,1),(418,1),(495,1),(539,1)}
       154:{1,3,4,7}:{(106,1),(108,1),(116,1),(186,1),(207,1),(213,1),(311,1),(391,1)}
       155:{1,3,4,6}:{(107,1),(109,1),(117,1),(208,1),(210,1),(214,1),(312,1),(327,1),(340,1),(392,1),(412,1),(419,1),(530,1)}
       156:{2,3,4,6,7}:{(108,1),(109,1),(118,1),(187,1),(209,1),(211,1),(231,1),(302,1),(318,1),(339,1),(400,1),(418,1),(483,1),(484,1),(493,1),(529,1)}
       157:{2,3,5,6}:{(109,1),(119,1),(210,1),(211,1),(212,1),(223,1),(334,1),(401,1),(482,1),(528,1)}
       158:{1,3,6}:{(110,1),(112,1),(204,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(205,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(206,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(207,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(208,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(538,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(300,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(418,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(146,1),(232,1),(233,1),(254,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(149,1),(236,1),(237,1),(363,1),(441,1),(471,1),(508,1)}
       183:{2,3,5}:{(135,1),(138,1),(232,1),(238,1)}
       184:{2,3,4,7}:{(135,1),(139,1),(233,1),(240,1),(261,1),(350,1)}
       185:{2,5,6}:{(136,1),(152,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(154,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(448,1)}
       188:{1,3,4,5}:{(138,1),(238,1),(245,1),(272,1),(372,1)}
       189:{1,3,5,6}:{(138,1),(140,1),(158,1),(239,1),(245,1),(247,1),(248,1),(374,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,4,6,7}:{(139,1),(142,1),(160,1),(241,1),(248,1),(249,1),(270,1),(361,1),(377,1),(443,1),(509,1),(545,1)}
       192:{1,2,4,5,7}:{(140,1),(143,1),(161,1),(242,1),(247,1),(250,1),(273,1),(350,1),(373,1),(377,1),(444,1),(450,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(251,1),(351,1),(361,1)}
       194:{1,2,5,7}:{(142,1),(163,1),(249,1),(251,1),(444,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(167,1),(252,1),(444,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(356,1),(450,1),(451,1)}
       198:{1,3,5}:{(146,1),(147,1),(150,1),(254,1)}
       199:{1,3,4,7}:{(146,1),(148,1),(151,1),(255,1),(256,1),(452,1),(526,1)}
       200:{1,2,4,6}:{(147,1),(152,1),(234,1),(254,1),(257,1),(341,1)}
       201:{1,2,4,5,7}:{(147,1),(148,1),(153,1),(235,1),(255,1),(257,1),(258,1),(259,1),(286,1),(342,1),(365,1),(366,1),(388,1),(452,1),(467,1),(524,1)}
       202:{1,2,4,6}:{(148,1),(149,1),(256,1),(259,1)}
       203:{1,2,3,5,6}:{(149,1),(237,1),(259,1),(260,1),(347,1),(364,1),(368,1),(441,1),(456,1),(469,1),(470,1),(525,1)}
       204:{2,3,6}:{(150,1),(152,1),(158,1),(254,1),(261,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(153,1),(159,1),(255,1),(261,1),(262,1),(263,1),(522,1),(550,1)}
       206:{2,3,4,6}:{(151,1),(160,1),(256,1),(262,1),(263,1),(371,1)}
       207:{2,4,7}:{(152,1),(154,1),(242,1),(261,1)}
       208:{2,4,6}:{(153,1),(155,1),(262,1),(265,1)}
       209:{1,3,4,6,7}:{(154,1),(155,1),(156,1),(165,1),(243,1),(264,1),(266,1),(270,1),(356,1),(363,1),(377,1),(390,1),(435,1),(448,1),(452,1),(459,1),(513,1),(520,1),(545,1)}
       210:{1,3,5,6}:{(155,1),(157,1),(166,1),(265,1),(266,1),(267,1),(374,1),(385,1),(436,1),(544,1)}
       211:{2,3,5,7}:{(156,1),(157,1),(167,1),(266,1),(268,1),(279,1),(384,1),(444,1),(512,1),(543,1)}
       212:{2,4,5,6}:{(157,1),(267,1),(268,1),(269,1),(371,1)}
       213:{1,3,7}:{(158,1),(161,1),(261,1)}
       214:{1,3,6}:{(159,1),(162,1),(262,1)}
       215:{1,3,5}:{(160,1),(163,1),(263,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(264,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(265,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(355,1),(384,1),(451,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(448,1),(459,1)}
       232:{1,3,5}:{(179,1),(180,1),(183,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(184,1),(289,1),(311,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(200,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(202,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(203,1),(293,1),(294,1),(398,1),(411,1),(489,1),(501,1),(542,1)}
       238:{2,4,5}:{(183,1),(188,1),(287,1),(295,1)}
       239:{2,3,5,6}:{(183,1),(185,1),(189,1),(204,1),(288,1),(295,1),(297,1),(298,1),(401,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(289,1),(296,1),(298,1)}
       241:{2,3,4,6,7}:{(184,1),(191,1),(206,1),(290,1),(298,1),(299,1),(318,1),(399,1),(400,1),(403,1),(418,1),(478,1),(483,1),(529,1)}
       242:{2,5,7}:{(185,1),(186,1),(207,1),(300,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(300,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(211,1),(301,1),(302,1),(310,1),(410,1),(484,1)}
       245:{1,3,4,6}:{(188,1),(189,1),(295,1),(303,1),(327,1),(419,1)}
       246:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(303,1),(304,1),(307,1),(404,1),(407,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(297,1),(303,1),(305,1),(421,1)}
       248:{1,3,6}:{(190,1),(193,1),(298,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(299,1),(306,1),(307,1),(551,1)}
       250:{1,2,4,6,7}:{(192,1),(193,1),(195,1),(300,1),(305,1),(308,1),(400,1),(405,1),(409,1)}
       251:{1,2,5,6}:{(193,1),(194,1),(306,1),(401,1),(532,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(220,1),(472,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(222,1),(302,1),(309,1),(310,1),(405,1),(410,1),(481,1)}
       254:{1,3,6}:{(198,1),(200,1),(204,1),(311,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(201,1),(205,1),(311,1),(312,1),(313,1),(500,1),(542,1)}
       256:{1,3,4,6}:{(199,1),(202,1),(206,1),(312,1),(313,1),(412,1)}
       257:{1,2,4,7}:{(200,1),(207,1),(291,1),(311,1),(391,1)}
       258:{1,2,4,6}:{(201,1),(208,1),(292,1),(312,1),(315,1),(340,1),(392,1),(412,1),(434,1)}
       259:{1,2,5}:{(202,1),(313,1)}
       260:{1,2,4,6}:{(203,1),(294,1),(316,1),(317,1),(412,1),(487,1),(502,1)}
       261:{2,3,7}:{(204,1),(207,1),(213,1),(311,1)}
       262:{2,3,6}:{(205,1),(208,1),(214,1),(312,1)}
       263:{2,3,5}:{(206,1),(215,1),(313,1),(320,1)}
       264:{2,4,6,7}:{(207,1),(208,1),(209,1),(300,1),(318,1),(321,1),(418,1),(533,1),(539,1)}
       265:{2,5,6}:{(208,1),(210,1),(321,1)}
       266:{1,3,5,7}:{(209,1),(210,1),(211,1),(220,1),(321,1),(323,1),(421,1),(432,1),(472,1),(551,1)}
       267:{1,4,5,6}:{(210,1),(212,1),(322,1),(323,1),(327,1),(412,1)}
       268:{2,4,5,7}:{(211,1),(212,1),(302,1),(323,1),(325,1),(418,1)}
       269:{3,4,5,6}:{(212,1),(223,1),(325,1),(419,1),(482,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(318,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(319,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(320,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(321,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(322,1),(327,1),(329,1),(330,1),(334,1),(424,1),(426,1),(497,1),(535,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(405,1),(485,1),(533,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(238,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(239,1),(254,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(240,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(241,1),(256,1),(344,1),(345,1),(349,1),(363,1),(435,1),(438,1),(441,1),(452,1)}
       291:{1,2,5,7}:{(234,1),(242,1),(257,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(259,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(260,1),(349,1),(452,1),(514,1)}
       295:{2,4,6}:{(238,1),(239,1),(245,1),(341,1),(350,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(246,1),(342,1),(350,1),(351,1),(444,1)}
       297:{2,3,5,7}:{(239,1),(242,1),(247,1),(261,1),(343,1),(350,1),(352,1),(444,1)}
       298:{2,3,6}:{(240,1),(248,1),(344,1),(351,1)}
       299:{2,3,5,7}:{(241,1),(249,1),(263,1),(345,1),(353,1),(354,1),(444,1),(512,1),(543,1)}
       300:{2,6,7}:{(242,1),(243,1)}
       301:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(266,1),(355,1),(356,1),(448,1),(451,1),(513,1)}
       302:{2,4,6,7}:{(244,1),(268,1),(356,1),(357,1)}
       303:{1,3,4,7}:{(245,1),(247,1),(350,1),(377,1),(459,1)}
       304:{1,3,4,6}:{(246,1),(248,1),(351,1),(359,1),(361,1),(447,1)}
       305:{1,3,6,7}:{(247,1),(248,1),(250,1),(352,1),(448,1)}
       306:{1,3,5,6}:{(248,1),(249,1),(251,1),(353,1),(361,1),(509,1),(544,1)}
       307:{1,4,5,7}:{(249,1),(272,1),(354,1),(361,1),(377,1)}
       308:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(273,1),(355,1),(360,1),(444,1),(546,1)}
       309:{1,4,5,6,7}:{(252,1),(253,1),(277,1),(356,1),(362,1),(503,1)}
       310:{3,5,6,7}:{(253,1),(279,1),(357,1),(448,1),(512,1)}
       311:{1,3,7}:{(254,1),(257,1),(261,1)}
       312:{1,3,6}:{(255,1),(258,1),(262,1)}
       313:{1,3,5}:{(256,1),(259,1),(263,1),(365,1)}
       314:{1,2,4,6,7}:{(257,1),(258,1),(264,1),(346,1),(363,1),(366,1),(390,1),(435,1),(452,1),(471,1),(524,1)}
       315:{1,2,5,6}:{(258,1),(259,1),(265,1),(364,1),(366,1),(385,1),(436,1)}
       316:{1,2,4,5}:{(259,1),(260,1),(365,1),(368,1),(454,1)}
       317:{1,3,4,6}:{(260,1),(349,1),(368,1),(369,1),(441,1),(525,1),(526,1)}
       318:{2,3,6,7}:{(261,1),(262,1),(264,1),(270,1),(363,1),(370,1),(448,1),(550,1)}
       319:{2,3,5,6}:{(262,1),(263,1),(265,1),(271,1),(364,1),(370,1),(371,1),(374,1)}
       320:{2,4,5}:{(263,1),(272,1),(365,1),(371,1),(372,1)}
       321:{2,5,7}:{(264,1),(265,1),(266,1)}
       322:{2,4,5,6}:{(265,1),(267,1),(371,1),(373,1),(374,1)}
       323:{1,4,5,7}:{(266,1),(267,1),(268,1),(356,1),(373,1),(377,1),(452,1)}
       324:{1,3,4,5,6}:{(267,1),(269,1),(278,1),(374,1),(375,1),(376,1),(378,1),(453,1),(463,1),(504,1)}
       325:{3,4,5,7}:{(268,1),(269,1),(279,1),(357,1),(459,1),(512,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(370,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(371,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(372,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(373,1),(377,1),(380,1),(384,1),(464,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(374,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(448,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(295,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(296,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(297,1),(311,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(298,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(299,1),(313,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(300,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(316,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(317,1),(398,1),(399,1),(542,1)}
       350:{2,4,7}:{(295,1),(297,1),(303,1),(391,1)}
       351:{2,4,6}:{(296,1),(298,1),(304,1),(392,1),(401,1)}
       352:{2,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(393,1),(400,1)}
       353:{2,3,5,6}:{(298,1),(299,1),(306,1),(394,1),(401,1),(403,1),(478,1),(482,1),(528,1)}
       354:{2,4,5,7}:{(299,1),(307,1),(320,1),(395,1),(403,1),(404,1),(418,1)}
       355:{2,5,6,7}:{(300,1),(301,1),(321,1),(405,1),(533,1)}
       356:{1,4,6,7}:{(301,1),(302,1),(323,1),(405,1)}
       357:{3,4,6,7}:{(302,1),(310,1),(325,1)}
       358:{1,3,4,6,7}:{(303,1),(304,1),(305,1),(400,1),(407,1),(409,1),(483,1)}
       359:{1,3,5,6}:{(304,1),(401,1),(407,1),(408,1),(482,1)}
       360:{1,3,5,6,7}:{(305,1),(306,1),(308,1),(326,1),(402,1),(407,1),(409,1),(531,1),(551,1)}
       361:{1,4,6}:{(306,1),(307,1),(403,1)}
       362:{1,3,5,6,7}:{(309,1),(310,1),(333,1),(406,1),(410,1),(527,1)}
       363:{1,3,6,7}:{(311,1),(312,1),(314,1),(318,1),(411,1),(542,1)}
       364:{1,3,5,6}:{(312,1),(313,1),(315,1),(319,1),(411,1),(412,1)}
       365:{1,4,5}:{(313,1),(320,1),(412,1)}
       366:{1,2,5,7}:{(314,1),(315,1),(321,1),(411,1),(432,1),(472,1)}
       367:{1,2,4,5,6}:{(315,1),(316,1),(322,1),(397,1),(412,1),(414,1),(415,1),(424,1),(473,1),(487,1),(497,1),(499,1),(528,1)}
       368:{1,3,5}:{(316,1),(317,1),(416,1)}
       369:{2,3,4,6}:{(317,1),(399,1),(416,1),(417,1),(478,1),(487,1),(540,1),(541,1)}
       370:{2,3,5,7}:{(318,1),(319,1),(321,1),(326,1),(411,1),(418,1),(421,1)}
       371:{2,4,6}:{(319,1),(320,1),(327,1),(412,1),(418,1),(419,1)}
       372:{3,4,5}:{(320,1),(419,1)}
       373:{2,4,5,7}:{(321,1),(322,1),(323,1),(405,1),(418,1),(421,1)}
       374:{3,5,6}:{(322,1),(419,1),(421,1)}
       375:{1,3,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(406,1),(421,1),(423,1),(425,1),(486,1),(496,1),(527,1)}
       376:{2,4,5,6}:{(324,1),(334,1),(422,1),(423,1),(424,1),(426,1),(487,1),(497,1),(528,1)}
       377:{1,4,7}:{(326,1),(327,1),(418,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(419,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(421,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(533,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(350,1)}
       392:{1,4,6}:{(342,1),(344,1),(351,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(352,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(353,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(438,1),(452,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(355,1),(366,1),(437,1),(440,1),(451,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(368,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(369,1),(442,1),(443,1),(514,1),(550,1)}
       400:{2,4,6,7}:{(350,1),(351,1),(352,1),(358,1),(435,1),(444,1)}
       401:{2,5,6}:{(351,1),(359,1),(436,1),(444,1)}
       402:{2,3,5,6,7}:{(352,1),(353,1),(355,1),(360,1),(370,1),(437,1),(444,1),(446,1),(448,1),(508,1),(512,1),(543,1)}
       403:{2,4,6}:{(353,1),(354,1),(361,1),(438,1),(447,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(447,1),(459,1),(512,1)}
       405:{2,4,6,7}:{(355,1),(356,1),(373,1),(448,1)}
       406:{1,3,4,6,7}:{(356,1),(357,1),(362,1),(375,1),(448,1),(449,1),(513,1)}
       407:{1,3,5,7}:{(358,1),(359,1),(444,1),(450,1),(512,1)}
       408:{1,4,5,6}:{(359,1),(361,1),(445,1),(450,1),(544,1)}
       409:{1,4,6,7}:{(360,1),(361,1),(377,1),(446,1),(450,1)}
       410:{2,5,6,7}:{(362,1),(384,1),(449,1),(451,1),(543,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(366,1),(370,1),(452,1)}
       412:{1,4,6}:{(364,1),(365,1),(371,1),(452,1)}
       413:{1,3,4,5}:{(365,1),(368,1),(372,1),(453,1),(454,1)}
       414:{1,2,4,5,7}:{(366,1),(367,1),(373,1),(440,1),(452,1),(455,1),(464,1),(503,1),(514,1),(523,1),(524,1),(543,1)}
       415:{1,3,5,6}:{(367,1),(368,1),(374,1),(441,1),(453,1),(455,1),(456,1),(525,1)}
       416:{2,3,5}:{(368,1),(369,1),(454,1),(457,1)}
       417:{1,3,4,6}:{(369,1),(443,1),(457,1),(458,1),(509,1),(515,1),(548,1),(549,1)}
       418:{2,4,7}:{(370,1),(371,1),(377,1),(452,1),(459,1)}
       419:{3,4,6}:{(371,1),(372,1),(374,1),(459,1)}
       420:{2,3,4,5}:{(372,1),(379,1),(454,1),(460,1),(461,1),(522,1)}
       421:{3,5,7}:{(373,1),(374,1),(448,1),(459,1)}
       422:{2,3,5,6}:{(374,1),(376,1),(460,1),(462,1),(463,1)}
       423:{2,4,5,7}:{(375,1),(376,1),(384,1),(449,1),(462,1),(464,1),(465,1),(514,1),(523,1),(543,1)}
       424:{1,4,5,6}:{(376,1),(385,1),(463,1),(464,1),(466,1),(515,1),(544,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(459,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(400,1),(472,1)}
       436:{1,5,6}:{(392,1),(401,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(402,1),(411,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(403,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(404,1),(413,1),(475,1),(476,1),(486,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(405,1),(414,1),(474,1),(477,1),(485,1),(529,1),(533,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(416,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(417,1),(479,1),(480,1),(534,1),(552,1)}
       444:{2,5,7}:{(400,1),(401,1),(407,1),(472,1)}
       445:{2,4,5,6}:{(401,1),(403,1),(408,1),(473,1),(481,1),(482,1),(528,1)}
       446:{2,4,6,7}:{(402,1),(403,1),(409,1),(418,1),(474,1),(481,1),(483,1)}
       447:{3,4,6}:{(403,1),(404,1),(482,1)}
       448:{3,6,7}:{(405,1),(421,1)}
       449:{2,4,6,7}:{(406,1),(410,1),(423,1),(484,1),(485,1),(533,1)}
       450:{1,4,5,7}:{(407,1),(408,1),(409,1),(481,1),(551,1)}
       451:{1,5,6,7}:{(410,1),(432,1),(485,1),(551,1)}
       452:{1,4,7}:{(411,1),(412,1),(418,1)}
       453:{1,3,4,6}:{(412,1),(413,1),(415,1),(419,1),(486,1),(487,1)}
       454:{2,4,5}:{(413,1),(416,1),(487,1),(488,1)}
       455:{1,3,5,7}:{(414,1),(415,1),(421,1),(477,1),(486,1),(489,1),(542,1)}
       456:{2,3,5,6}:{(415,1),(416,1),(478,1),(487,1),(489,1),(490,1),(497,1),(528,1),(540,1)}
       457:{1,3,5}:{(416,1),(417,1),(488,1),(491,1)}
       458:{1,2,4,6}:{(417,1),(480,1),(491,1),(492,1),(532,1),(538,1)}
       459:{3,4,7}:{(418,1),(419,1),(421,1)}
       460:{2,3,4,6}:{(419,1),(420,1),(422,1),(426,1),(487,1),(493,1),(494,1),(540,1)}
       461:{1,3,4,5}:{(420,1),(427,1),(488,1),(494,1),(495,1),(500,1),(536,1)}
       462:{2,3,5,7}:{(421,1),(422,1),(423,1),(484,1),(493,1),(496,1)}
       463:{1,3,5,6}:{(422,1),(424,1),(494,1),(496,1),(497,1)}
       464:{1,4,5,7}:{(423,1),(424,1),(432,1),(485,1),(496,1),(498,1),(534,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(533,1)}
       472:{1,5,7}:{(435,1),(436,1),(444,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(445,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(446,1),(452,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(447,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(454,1),(506,1),(507,1),(514,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(448,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(457,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(458,1),(510,1),(511,1)}
       481:{2,4,5,7}:{(444,1),(445,1),(446,1),(450,1),(503,1),(512,1),(543,1)}
       482:{3,5,6}:{(445,1),(447,1),(512,1)}
       483:{3,4,6,7}:{(446,1),(447,1),(448,1),(459,1),(512,1)}
       484:{2,3,6,7}:{(448,1),(449,1),(462,1),(513,1)}
       485:{1,4,6,7}:{(449,1),(451,1),(464,1),(513,1)}
       486:{1,3,4,7}:{(452,1),(453,1),(455,1),(459,1),(514,1)}
       487:{2,4,6}:{(453,1),(454,1),(456,1),(514,1),(515,1)}
       488:{1,4,5}:{(454,1),(457,1),(515,1)}
       489:{2,3,5,7}:{(455,1),(456,1),(508,1),(514,1),(517,1),(523,1),(543,1),(550,1)}
       490:{1,3,5,6}:{(456,1),(457,1),(509,1),(515,1),(517,1),(518,1),(544,1),(548,1)}
       491:{1,2,5}:{(457,1),(458,1)}
       492:{1,2,3,6}:{(458,1),(511,1),(519,1),(548,1)}
       493:{2,3,4,7}:{(459,1),(460,1),(462,1),(465,1),(514,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(460,1),(461,1),(463,1),(466,1),(515,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(461,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(464,1),(513,1),(520,1),(523,1)}
       497:{2,5,6}:{(463,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(481,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(482,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(483,1),(486,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(488,1),(530,1),(534,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(489,1),(529,1),(531,1),(533,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(491,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(492,1),(552,1)}
       512:{3,5,7}:{(481,1),(482,1),(483,1)}
       513:{1,3,6,7}:{(484,1),(485,1),(496,1),(533,1)}
       514:{2,4,7}:{(486,1),(487,1),(489,1),(534,1)}
       515:{1,4,6}:{(487,1),(488,1),(490,1),(534,1)}
       516:{1,2,4,5}:{(488,1),(491,1),(495,1),(535,1),(536,1),(538,1)}
       517:{1,3,5,7}:{(489,1),(490,1),(531,1),(534,1),(537,1),(551,1),(552,1)}
       518:{1,2,5,6}:{(490,1),(491,1),(497,1),(532,1),(535,1),(537,1)}
       519:{1,2,3,5}:{(491,1),(492,1),(536,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(534,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(536,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(533,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(512,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(514,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(517,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{2,6,7}:{(513,1),(523,1)}
       534:{1,4,7}:{(514,1),(515,1),(517,1)}
       535:{1,2,4,6}:{(515,1),(516,1),(518,1),(521,1),(547,1),(548,1)}
       536:{1,3,5}:{(516,1),(522,1),(548,1),(549,1)}
       537:{1,2,5,7}:{(517,1),(518,1),(523,1),(546,1),(547,1)}
       538:{1,2,4}:{(519,1),(549,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(534,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(533,1),(537,1)}
       547:{1,2,4,7}:{(534,1),(535,1),(537,1),(539,1),(552,1)}
       548:{1,3,6}:{(535,1),(536,1),(540,1),(552,1)}
       549:{1,3,4}:{(536,1),(538,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1817 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(64,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(77,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(79,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(81,1),(89,1),(106,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(79,1),(104,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(106,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(61,1)}
        47:{2,5,6}:{(33,1),(34,1),(61,1),(64,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(62,1),(64,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(63,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(62,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(64,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,5,6}:{(46,1),(47,1),(77,1)}
        62:{1,4,6,7}:{(46,1),(48,1),(56,1),(77,1),(88,1)}
        63:{2,4,5,6}:{(47,1),(49,1),(58,1),(76,1),(79,1),(80,1),(104,1)}
        64:{2,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        65:{1,3,5,6,7}:{(50,1),(78,1),(81,1),(106,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(80,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(104,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(77,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(79,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{1,4,5,6}:{(61,1),(63,1),(72,1),(91,1),(92,1)}
        77:{1,5,7}:{(61,1),(62,1),(64,1)}
        78:{2,5,6,7}:{(64,1),(65,1),(90,1),(93,1)}
        79:{3,5,6}:{(63,1),(74,1),(94,1)}
        80:{2,4,5,7}:{(63,1),(64,1),(66,1),(75,1),(92,1),(93,1),(94,1),(115,1)}
        81:{1,4,6,7}:{(65,1),(66,1),(93,1),(124,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(91,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(77,1),(78,1),(103,1)}
        91:{1,3,5,6}:{(76,1),(79,1),(87,1),(104,1),(105,1)}
        92:{1,4,5,7}:{(76,1),(77,1),(80,1),(88,1),(103,1),(105,1)}
        93:{2,4,6,7}:{(78,1),(80,1),(81,1),(103,1),(106,1),(120,1)}
        94:{3,5,7}:{(79,1),(80,1),(89,1),(106,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(104,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(105,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(92,1),(93,1),(113,1)}
       104:{2,5,6}:{(91,1),(101,1),(114,1),(115,1)}
       105:{1,3,5,7}:{(91,1),(92,1),(94,1),(102,1),(113,1),(115,1)}
       106:{3,6,7}:{(93,1),(94,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(105,1),(106,1),(120,1)}
       114:{1,5,6}:{(104,1),(111,1),(121,1)}
       115:{2,5,7}:{(104,1),(105,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1818 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1819 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(23,1),(45,1),(50,1),(51,1),(59,1),(89,1),(91,1),(153,1),(163,1),(179,1),(216,1),(220,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(19,1),(23,1),(98,1),(154,1),(220,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(86,1),(119,1),(185,1),(196,1),(248,1)}
         3:{1,2,4,6}:{(0,1),(8,1),(9,1),(28,1),(33,1),(71,1),(84,1),(124,1),(193,1),(209,1)}
         4:{1,3,6,7}:{(1,1),(8,1),(11,1),(12,1),(209,1),(248,1)}
         5:{1,2,5,7}:{(1,1),(9,1),(12,1),(36,1),(132,1),(188,1),(210,1)}
         6:{1,3,4,7}:{(2,1),(14,1),(15,1),(23,1),(62,1),(216,1),(226,1)}
         7:{2,3,5,7}:{(2,1),(14,1),(16,1),(17,1),(50,1),(91,1),(94,1),(162,1)}
         8:{1,3,6}:{(2,1),(3,1),(17,1),(114,1),(224,1)}
         9:{1,2,5,6}:{(3,1),(5,1),(18,1),(50,1),(56,1),(103,1),(153,1),(159,1),(236,1)}
        10:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(20,1),(23,1),(57,1),(62,1),(114,1)}
        11:{2,3,6,7}:{(4,1),(17,1),(19,1),(21,1),(22,1),(114,1),(154,1),(178,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(18,1),(22,1),(23,1),(179,1),(180,1)}
        13:{1,3,4,5,7}:{(6,1),(25,1),(26,1),(29,1),(37,1),(63,1),(69,1),(86,1),(129,1),(130,1),(134,1),(189,1),(190,1),(196,1),(201,1),(248,1),(257,1),(290,1)}
        14:{2,4,7}:{(6,1),(7,1),(27,1),(28,1),(195,1)}
        15:{1,3,4,6}:{(6,1),(8,1),(28,1),(29,1),(33,1),(80,1)}
        16:{1,3,5,7}:{(7,1),(27,1),(30,1),(31,1),(74,1),(76,1),(139,1)}
        17:{2,3,6}:{(7,1),(8,1),(28,1),(31,1),(124,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(12,1),(29,1),(32,1),(33,1),(185,1),(206,1),(207,1),(209,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(28,1),(35,1),(36,1),(40,1),(84,1)}
        20:{1,3,5,7}:{(10,1),(29,1),(34,1),(36,1),(37,1),(86,1)}
        21:{1,3,6,7}:{(11,1),(31,1),(35,1),(38,1),(39,1),(146,1)}
        22:{2,3,5,7}:{(11,1),(12,1),(32,1),(36,1),(39,1),(40,1),(86,1),(147,1),(148,1),(188,1),(248,1)}
        23:{1,4,7}:{(12,1),(33,1),(40,1)}
        24:{2,3,4,7}:{(14,1),(41,1),(42,1),(43,1),(62,1),(94,1),(117,1),(156,1),(157,1),(226,1),(271,1),(272,1),(297,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(41,1),(45,1),(46,1),(50,1),(91,1),(97,1),(99,1),(156,1),(157,1),(163,1),(220,1),(222,1)}
        26:{1,3,4,6}:{(13,1),(46,1),(47,1),(57,1),(92,1),(114,1),(160,1),(161,1),(224,1),(278,1),(303,1)}
        27:{1,4,7}:{(14,1),(16,1),(49,1),(172,1)}
        28:{2,4,6}:{(14,1),(15,1),(17,1),(49,1),(50,1)}
        29:{1,3,5}:{(15,1),(50,1),(51,1),(108,1)}
        30:{1,2,5,7}:{(16,1),(48,1),(52,1),(91,1),(106,1),(313,1)}
        31:{1,3,6}:{(16,1),(17,1),(49,1),(52,1)}
        32:{2,3,5,6}:{(17,1),(18,1),(22,1),(50,1),(53,1),(54,1),(56,1),(108,1),(114,1),(159,1),(162,1),(174,1),(175,1),(178,1),(224,1)}
        33:{1,4,6}:{(18,1),(23,1),(51,1),(54,1),(216,1)}
        34:{1,3,5,6}:{(20,1),(56,1),(57,1),(114,1)}
        35:{1,4,6,7}:{(19,1),(21,1),(49,1),(58,1),(61,1),(113,1)}
        36:{2,5,7}:{(19,1),(20,1),(50,1),(56,1),(58,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(51,1),(57,1),(59,1),(179,1)}
        38:{1,2,6,7}:{(21,1),(52,1),(60,1),(154,1),(178,1),(237,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(53,1),(58,1),(60,1),(61,1),(116,1)}
        40:{2,4,7}:{(22,1),(23,1),(54,1),(61,1),(62,1)}
        41:{2,3,5,7}:{(24,1),(25,1),(63,1),(64,1),(67,1),(86,1),(147,1),(196,1),(248,1),(290,1),(307,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(63,1),(65,1),(66,1),(74,1),(119,1),(149,1),(182,1),(189,1),(248,1),(291,1),(308,1)}
        43:{2,3,4,6}:{(24,1),(28,1),(64,1),(66,1),(67,1),(80,1),(126,1),(127,1),(143,1),(191,1),(195,1),(251,1),(252,1),(254,1),(285,1)}
        44:{1,3,4,6,7}:{(26,1),(68,1),(69,1),(82,1),(121,1),(145,1),(189,1),(190,1),(248,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(63,1),(71,1),(76,1),(129,1),(132,1),(182,1),(189,1),(241,1)}
        46:{2,4,6}:{(25,1),(26,1),(64,1),(71,1),(72,1),(124,1)}
        47:{1,3,5,6}:{(26,1),(29,1),(69,1),(72,1),(73,1),(138,1),(201,1)}
        48:{1,2,4,7}:{(27,1),(30,1),(65,1),(74,1),(75,1),(308,1),(309,1)}
        49:{1,4,6}:{(27,1),(28,1),(31,1),(76,1)}
        50:{2,5}:{(28,1),(29,1),(76,1)}
        51:{1,4,5}:{(29,1),(33,1),(77,1),(206,1)}
        52:{1,2,6}:{(30,1),(31,1),(124,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(39,1),(76,1),(78,1),(79,1),(83,1),(139,1),(141,1),(142,1),(146,1)}
        54:{2,4,6}:{(32,1),(33,1),(40,1),(77,1),(79,1),(80,1),(195,1)}
        55:{1,3,5,6,7}:{(34,1),(69,1),(81,1),(82,1),(145,1),(256,1)}
        56:{2,5,6}:{(34,1),(36,1),(83,1),(84,1)}
        57:{1,4,6}:{(34,1),(37,1),(84,1),(209,1)}
        58:{1,5,7}:{(35,1),(36,1),(76,1),(83,1)}
        59:{2,4,5,7}:{(36,1),(37,1),(40,1),(77,1),(84,1),(85,1),(86,1),(147,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(78,1),(87,1),(147,1),(188,1),(258,1)}
        61:{1,4,7}:{(39,1),(40,1),(79,1)}
        62:{3,4,7}:{(40,1),(80,1),(86,1),(248,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(45,1),(91,1),(92,1),(96,1),(179,1),(313,1)}
        64:{2,3,6}:{(41,1),(46,1),(92,1),(114,1),(178,1),(224,1),(303,1),(312,1)}
        65:{2,4,7}:{(42,1),(91,1),(94,1),(95,1),(304,1)}
        66:{1,3,4,6}:{(42,1),(43,1),(49,1),(92,1),(95,1),(96,1),(105,1),(152,1),(160,1),(172,1),(176,1),(213,1),(216,1),(224,1),(226,1),(275,1),(276,1),(300,1)}
        67:{2,3,5}:{(43,1),(50,1),(96,1),(97,1),(108,1),(174,1),(222,1),(274,1),(299,1)}
        68:{2,4,6,7}:{(44,1),(46,1),(90,1),(98,1),(99,1),(154,1),(156,1),(220,1)}
        69:{1,3,5,7}:{(44,1),(47,1),(99,1),(100,1),(168,1)}
        70:{1,2,4,5,7}:{(45,1),(48,1),(91,1),(101,1),(102,1),(106,1),(157,1),(163,1),(166,1),(172,1),(220,1),(222,1),(230,1),(232,1),(270,1),(313,1)}
        71:{1,4,6}:{(45,1),(46,1),(92,1),(103,1)}
        72:{2,5,6}:{(46,1),(47,1),(50,1),(99,1),(103,1),(222,1)}
        73:{1,4,5,6}:{(47,1),(51,1),(57,1),(100,1),(104,1),(160,1),(232,1),(233,1),(278,1)}
        74:{1,3,7}:{(48,1),(94,1),(105,1)}
        75:{1,2,4,6}:{(48,1),(49,1),(52,1),(95,1),(105,1),(106,1),(172,1),(300,1),(301,1),(302,1)}
        76:{1,5}:{(49,1),(50,1)}
        77:{2,4,5}:{(50,1),(51,1),(54,1),(107,1),(108,1),(174,1)}
        78:{1,2,5,6}:{(52,1),(53,1),(60,1),(106,1),(109,1),(159,1),(174,1),(178,1),(233,1)}
        79:{1,4,6}:{(53,1),(54,1),(61,1),(107,1),(172,1)}
        80:{3,4,6}:{(54,1),(62,1),(108,1),(114,1),(224,1),(226,1)}
        81:{2,5,6,7}:{(55,1),(56,1),(99,1),(111,1),(112,1),(269,1)}
        82:{1,4,6,7}:{(55,1),(57,1),(100,1),(112,1),(237,1),(278,1)}
        83:{1,5,6}:{(56,1),(58,1),(113,1)}
        84:{2,4,6}:{(56,1),(57,1),(59,1),(113,1),(114,1),(178,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(61,1),(107,1),(113,1),(115,1)}
        86:{3,5,7}:{(59,1),(62,1),(108,1),(114,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(109,1),(116,1),(117,1),(220,1),(273,1),(304,1)}
        88:{1,3,4,7}:{(61,1),(62,1),(110,1),(115,1),(116,1),(117,1)}
        89:{1,2,4,7}:{(65,1),(118,1),(119,1),(120,1),(149,1),(182,1),(210,1)}
        90:{2,3,6,7}:{(64,1),(68,1),(121,1),(122,1),(145,1),(208,1),(248,1)}
        91:{2,5,7}:{(63,1),(65,1),(124,1),(128,1)}
        92:{1,3,6}:{(63,1),(64,1),(71,1),(124,1),(209,1),(314,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(72,1),(122,1),(125,1),(126,1),(138,1),(203,1),(252,1)}
        94:{2,3,7}:{(65,1),(74,1),(119,1),(127,1),(248,1)}
        95:{2,4,6}:{(65,1),(66,1),(124,1),(127,1),(128,1),(195,1),(292,1),(293,1)}
        96:{1,3,5}:{(66,1),(67,1),(76,1),(128,1),(129,1),(196,1),(206,1),(241,1),(310,1)}
        97:{2,4,5}:{(67,1),(126,1),(129,1),(130,1),(195,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(132,1),(189,1)}
        99:{2,5,7}:{(68,1),(69,1),(72,1),(132,1)}
       100:{1,4,5,7}:{(69,1),(73,1),(82,1),(133,1),(189,1),(258,1)}
       101:{1,3,5,7}:{(70,1),(74,1),(123,1),(134,1),(135,1),(139,1),(196,1),(201,1),(248,1),(290,1)}
       102:{1,2,4,6}:{(70,1),(71,1),(124,1),(135,1),(136,1),(191,1),(193,1),(202,1),(289,1),(314,1)}
       103:{1,5,6}:{(71,1),(72,1),(76,1),(132,1),(241,1)}
       104:{2,4,5,6}:{(72,1),(73,1),(77,1),(84,1),(126,1),(133,1),(137,1),(138,1),(193,1),(203,1),(250,1),(289,1)}
       105:{1,3,6}:{(74,1),(75,1),(127,1),(139,1),(311,1)}
       106:{1,2,5}:{(75,1),(76,1),(128,1),(139,1),(310,1)}
       107:{1,4,5}:{(76,1),(77,1),(79,1),(141,1)}
       108:{3,5}:{(77,1),(80,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(87,1),(140,1),(142,1),(143,1),(193,1),(253,1),(292,1)}
       110:{1,3,4,6}:{(79,1),(80,1),(88,1),(141,1),(142,1),(143,1),(146,1),(204,1)}
       111:{1,5,6,7}:{(81,1),(83,1),(132,1),(144,1),(280,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(84,1),(133,1),(144,1),(145,1),(208,1),(289,1)}
       113:{1,4,6}:{(83,1),(84,1),(85,1),(146,1)}
       114:{3,6}:{(84,1),(86,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(88,1),(141,1),(146,1),(147,1)}
       116:{1,3,7}:{(87,1),(142,1),(148,1),(248,1)}
       117:{2,4,7}:{(88,1),(143,1),(147,1),(148,1),(149,1)}
       118:{1,2,5,7}:{(89,1),(91,1),(150,1),(151,1),(153,1),(179,1)}
       119:{1,3,7}:{(89,1),(94,1),(152,1)}
       120:{1,2,4,6}:{(89,1),(95,1),(151,1),(152,1),(153,1),(176,1),(213,1),(216,1),(236,1),(279,1)}
       121:{1,3,6,7}:{(90,1),(92,1),(98,1),(154,1),(155,1),(237,1)}
       122:{2,3,5,7}:{(90,1),(93,1),(99,1),(155,1),(156,1),(168,1),(231,1),(272,1)}
       123:{2,3,5,7}:{(91,1),(94,1),(101,1),(150,1),(157,1),(158,1),(162,1),(222,1)}
       124:{2,6}:{(91,1),(92,1)}
       125:{1,3,5,6}:{(92,1),(93,1),(96,1),(103,1),(155,1),(159,1),(160,1),(224,1),(233,1),(275,1)}
       126:{2,4,6}:{(93,1),(97,1),(156,1),(160,1),(161,1)}
       127:{2,3,6}:{(94,1),(95,1),(105,1),(152,1),(162,1),(224,1),(305,1)}
       128:{2,5}:{(95,1),(96,1)}
       129:{1,4,5}:{(96,1),(97,1),(160,1),(163,1),(172,1),(216,1)}
       130:{3,4,5}:{(97,1),(108,1),(161,1),(226,1),(274,1)}
       131:{1,2,4,6,7}:{(98,1),(102,1),(154,1),(165,1),(166,1),(218,1),(220,1),(230,1)}
       132:{1,5,7}:{(98,1),(99,1),(103,1)}
       133:{2,4,5,7}:{(99,1),(100,1),(104,1),(112,1),(156,1),(167,1),(168,1),(220,1),(231,1)}
       134:{1,3,4,7}:{(101,1),(157,1),(169,1),(172,1),(226,1),(230,1),(271,1)}
       135:{1,3,6}:{(101,1),(102,1),(158,1),(224,1),(303,1)}
       136:{1,2,5,6}:{(102,1),(103,1),(106,1),(159,1),(166,1),(170,1),(222,1),(269,1),(301,1)}
       137:{1,4,5,6}:{(103,1),(104,1),(107,1),(113,1),(160,1),(167,1),(171,1),(264,1),(295,1)}
       138:{3,5,6}:{(104,1),(108,1),(114,1),(161,1),(168,1),(224,1),(274,1),(303,1)}
       139:{1,3,5}:{(105,1),(106,1),(162,1),(172,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(109,1),(163,1),(172,1),(173,1),(174,1),(228,1),(234,1),(277,1),(302,1)}
       141:{1,3,5}:{(107,1),(108,1),(110,1),(174,1)}
       142:{1,3,6}:{(109,1),(116,1),(173,1),(175,1),(224,1)}
       143:{2,4,6}:{(110,1),(117,1),(174,1),(175,1),(176,1),(178,1),(234,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(113,1),(167,1),(177,1),(295,1)}
       145:{3,6,7}:{(112,1),(114,1),(168,1),(303,1)}
       146:{1,3,6}:{(113,1),(114,1),(115,1),(178,1)}
       147:{2,5,7}:{(115,1),(117,1),(174,1),(178,1),(179,1)}
       148:{2,3,7}:{(116,1),(117,1),(175,1),(180,1),(304,1)}
       149:{1,4,7}:{(117,1),(176,1),(179,1),(180,1)}
       150:{1,3,5,7}:{(118,1),(119,1),(123,1),(182,1),(183,1),(185,1),(241,1)}
       151:{1,2,6}:{(118,1),(124,1),(183,1),(209,1)}
       152:{1,3,6}:{(119,1),(120,1),(127,1),(185,1),(294,1)}
       153:{1,2,5}:{(120,1),(128,1),(185,1),(206,1),(241,1)}
       154:{2,6,7}:{(121,1),(124,1),(188,1)}
       155:{1,3,5,7}:{(121,1),(122,1),(125,1),(132,1),(188,1),(189,1),(248,1),(258,1),(291,1)}
       156:{2,4,7}:{(122,1),(126,1),(189,1),(190,1)}
       157:{2,4,7}:{(123,1),(134,1),(182,1),(191,1),(195,1)}
       158:{2,3,6}:{(123,1),(124,1),(135,1),(183,1),(191,1)}
       159:{2,5,6}:{(124,1),(125,1),(128,1),(188,1),(193,1),(292,1)}
       160:{1,4,6}:{(125,1),(126,1),(129,1),(189,1),(193,1)}
       161:{3,4,6}:{(126,1),(130,1),(138,1),(190,1)}
       162:{2,3,5}:{(127,1),(128,1),(139,1),(185,1),(195,1),(196,1)}
       163:{2,4,5}:{(128,1),(129,1),(193,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(129,1),(130,1),(141,1),(194,1),(196,1),(197,1),(204,1),(244,1),(255,1),(284,1)}
       165:{1,3,6,7}:{(131,1),(135,1),(187,1),(199,1),(248,1),(314,1)}
       166:{1,2,5,7}:{(131,1),(132,1),(136,1),(188,1),(199,1),(246,1),(309,1)}
       167:{1,4,5,7}:{(132,1),(133,1),(137,1),(144,1),(189,1),(200,1)}
       168:{3,5,7}:{(133,1),(138,1),(145,1),(190,1),(248,1)}
       169:{1,3,4,6}:{(134,1),(135,1),(191,1),(201,1),(202,1),(251,1)}
       170:{1,3,5,6}:{(135,1),(136,1),(139,1),(192,1),(199,1),(201,1),(202,1),(286,1),(310,1),(314,1)}
       171:{1,3,5,6}:{(137,1),(138,1),(141,1),(146,1),(194,1),(200,1),(203,1),(284,1),(306,1)}
       172:{1,4}:{(139,1),(195,1)}
       173:{1,3,5}:{(140,1),(142,1),(196,1),(204,1),(205,1),(311,1)}
       174:{2,5}:{(141,1),(143,1),(206,1)}
       175:{2,3,6}:{(142,1),(143,1),(148,1),(205,1),(207,1),(292,1)}
       176:{1,4,6}:{(143,1),(149,1),(206,1),(207,1),(209,1),(259,1)}
       177:{1,3,6,7}:{(144,1),(145,1),(146,1),(200,1),(208,1),(306,1)}
       178:{2,6}:{(146,1),(147,1),(209,1)}
       179:{1,5,7}:{(147,1),(149,1),(206,1),(209,1)}
       180:{1,3,7}:{(148,1),(149,1),(207,1),(210,1)}
       181:{1,2,6,7}:{(151,1),(154,1),(211,1),(212,1),(237,1),(312,1)}
       182:{1,4,7}:{(150,1),(157,1),(213,1),(216,1)}
       183:{1,3,6}:{(150,1),(151,1),(158,1),(213,1)}
       184:{1,2,5,6}:{(151,1),(153,1),(159,1),(212,1),(214,1),(215,1),(233,1),(299,1),(312,1)}
       185:{1,3,5}:{(152,1),(153,1),(162,1),(216,1)}
       186:{1,2,4,5}:{(153,1),(163,1),(215,1),(216,1),(217,1),(228,1),(264,1),(267,1),(277,1),(279,1),(299,1)}
       187:{2,3,6,7}:{(154,1),(158,1),(165,1),(211,1),(218,1),(219,1),(303,1),(312,1)}
       188:{2,5,7}:{(154,1),(155,1),(159,1),(220,1),(304,1)}
       189:{1,4,7}:{(155,1),(156,1),(160,1),(220,1)}
       190:{3,4,7}:{(156,1),(161,1),(168,1)}
       191:{2,4,6}:{(157,1),(158,1),(169,1),(213,1),(222,1)}
       192:{2,3,5,6}:{(158,1),(159,1),(162,1),(170,1),(214,1),(219,1),(222,1),(223,1),(224,1),(266,1),(269,1),(274,1),(299,1),(303,1),(312,1)}
       193:{2,4,6}:{(159,1),(160,1),(163,1),(220,1),(224,1)}
       194:{1,3,4,6}:{(160,1),(161,1),(164,1),(171,1),(221,1),(224,1),(225,1),(275,1)}
       195:{2,4}:{(162,1),(172,1),(216,1),(226,1)}
       196:{3,5}:{(163,1),(224,1),(226,1)}
       197:{2,4,5}:{(164,1),(174,1),(225,1),(227,1),(228,1),(234,1),(267,1),(277,1),(299,1)}
       198:{1,3,4,6,7}:{(165,1),(169,1),(218,1),(229,1),(230,1),(271,1),(278,1),(303,1)}
       199:{1,3,5,7}:{(165,1),(166,1),(170,1),(219,1),(230,1),(298,1),(313,1)}
       200:{1,3,5,7}:{(167,1),(168,1),(171,1),(177,1),(221,1),(231,1)}
       201:{1,3,5}:{(169,1),(222,1),(232,1),(274,1)}
       202:{1,4,6}:{(170,1),(172,1),(223,1),(230,1),(232,1)}
       203:{2,5,6}:{(171,1),(174,1),(178,1),(225,1),(231,1),(233,1),(299,1),(312,1)}
       204:{1,3,4}:{(172,1),(173,1),(226,1),(234,1)}
       205:{2,3,5}:{(173,1),(174,1),(175,1),(234,1),(235,1),(277,1),(305,1)}
       206:{1,5}:{(174,1),(176,1)}
       207:{1,3,6}:{(175,1),(176,1),(180,1),(235,1),(236,1)}
       208:{2,6,7}:{(177,1),(178,1),(231,1),(237,1),(312,1)}
       209:{1,6}:{(178,1),(179,1)}
       210:{1,2,7}:{(180,1),(236,1),(304,1)}
       211:{1,3,6,7}:{(181,1),(183,1),(187,1),(238,1),(239,1),(306,1)}
       212:{1,2,5,7}:{(181,1),(184,1),(188,1),(239,1),(240,1),(258,1),(307,1)}
       213:{1,4,6}:{(182,1),(183,1),(191,1),(241,1)}
       214:{1,3,5,6}:{(183,1),(184,1),(185,1),(192,1),(239,1),(241,1),(242,1),(243,1),(280,1),(284,1),(306,1)}
       215:{1,2,4,6}:{(184,1),(186,1),(193,1),(240,1),(242,1),(243,1),(253,1),(285,1),(292,1)}
       216:{1,4}:{(185,1),(195,1)}
       217:{1,3,5}:{(186,1),(196,1),(243,1),(244,1),(245,1),(294,1)}
       218:{2,4,6,7}:{(187,1),(191,1),(198,1),(238,1),(246,1),(247,1),(289,1)}
       219:{2,3,5,7}:{(187,1),(188,1),(192,1),(199,1),(239,1),(246,1),(247,1),(248,1),(283,1),(290,1),(307,1)}
       220:{2,4,7}:{(188,1),(189,1),(193,1),(248,1)}
       221:{1,3,4,7}:{(189,1),(190,1),(194,1),(200,1),(248,1),(249,1),(291,1)}
       222:{2,5}:{(191,1),(201,1),(241,1)}
       223:{2,4,6}:{(192,1),(195,1),(202,1),(242,1),(247,1),(250,1),(251,1)}
       224:{3,6}:{(193,1),(196,1),(248,1)}
       225:{2,4,6}:{(194,1),(197,1),(203,1),(249,1),(252,1),(253,1),(292,1)}
       226:{3,4}:{(195,1),(196,1)}
       227:{2,3,5}:{(196,1),(197,1),(252,1),(254,1),(255,1)}
       228:{1,4,5}:{(197,1),(206,1),(253,1),(255,1),(259,1),(287,1),(310,1)}
       229:{1,3,5,7}:{(198,1),(201,1),(246,1),(256,1),(257,1),(290,1)}
       230:{1,4,7}:{(199,1),(202,1),(247,1)}
       231:{2,5,7}:{(200,1),(203,1),(208,1),(249,1),(258,1)}
       232:{1,4,5}:{(201,1),(202,1),(250,1),(310,1)}
       233:{1,5,6}:{(203,1),(206,1),(209,1),(253,1),(258,1),(310,1),(314,1)}
       234:{2,4}:{(204,1),(205,1),(259,1)}
       235:{1,3,5}:{(205,1),(206,1),(207,1),(259,1),(260,1),(294,1)}
       236:{1,2,6}:{(207,1),(210,1),(260,1),(292,1)}
       237:{1,6,7}:{(208,1),(209,1),(258,1),(314,1)}
       238:{1,4,6,7}:{(211,1),(213,1),(218,1),(261,1),(262,1),(295,1)}
       239:{1,3,5,7}:{(211,1),(212,1),(214,1),(219,1),(261,1),(262,1),(263,1)}
       240:{1,2,4,7}:{(212,1),(215,1),(220,1),(262,1),(263,1),(273,1),(297,1),(304,1)}
       241:{1,5}:{(213,1),(222,1)}
       242:{1,4,6}:{(214,1),(216,1),(223,1),(262,1),(264,1)}
       243:{1,3,6}:{(215,1),(217,1),(224,1),(263,1),(266,1)}
       244:{1,3,4}:{(216,1),(217,1),(226,1),(267,1)}
       245:{2,3,5}:{(217,1),(266,1),(267,1),(268,1),(277,1),(299,1),(305,1)}
       246:{2,5,7}:{(218,1),(222,1),(229,1),(261,1),(269,1)}
       247:{2,4,7}:{(219,1),(223,1),(230,1),(262,1),(271,1)}
       248:{3,7}:{(220,1),(224,1)}
       249:{2,4,7}:{(221,1),(225,1),(231,1),(272,1),(273,1),(304,1)}
       250:{2,4,5}:{(222,1),(223,1),(232,1),(264,1),(274,1),(299,1)}
       251:{3,4,6}:{(223,1),(224,1),(226,1),(271,1),(274,1),(303,1)}
       252:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(275,1)}
       253:{1,4,6}:{(225,1),(228,1),(233,1),(273,1),(275,1)}
       254:{2,3,4}:{(226,1),(227,1),(234,1),(267,1),(276,1),(305,1)}
       255:{1,3,5}:{(227,1),(228,1),(275,1),(276,1),(277,1)}
       256:{1,3,5,6}:{(229,1),(269,1),(278,1),(303,1)}
       257:{1,4,5,7}:{(229,1),(230,1),(232,1),(270,1),(278,1),(313,1)}
       258:{1,5,7}:{(231,1),(233,1),(237,1),(273,1)}
       259:{1,4}:{(234,1),(235,1)}
       260:{1,2,5}:{(235,1),(236,1),(277,1),(279,1)}
       261:{1,5,7}:{(238,1),(241,1),(246,1),(280,1)}
       262:{1,4,7}:{(239,1),(242,1),(247,1)}
       263:{1,3,7}:{(240,1),(243,1),(248,1),(283,1)}
       264:{1,4,5}:{(241,1),(242,1),(250,1),(284,1)}
       265:{1,3,4,6}:{(242,1),(243,1),(244,1),(251,1),(282,1),(284,1),(285,1),(306,1)}
       266:{2,3,6}:{(243,1),(245,1),(283,1),(285,1),(286,1),(292,1)}
       267:{2,4}:{(244,1),(245,1),(287,1)}
       268:{1,3,5}:{(245,1),(286,1),(287,1),(288,1),(310,1),(311,1)}
       269:{2,5,6}:{(246,1),(256,1),(280,1),(289,1)}
       270:{2,4,5,7}:{(246,1),(247,1),(250,1),(257,1),(281,1),(289,1),(290,1),(307,1)}
       271:{3,4,7}:{(247,1),(248,1),(251,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(252,1),(291,1)}
       273:{1,4,7}:{(249,1),(253,1),(258,1),(291,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,3,6}:{(252,1),(253,1),(255,1),(291,1),(292,1)}
       276:{1,3,4}:{(254,1),(255,1),(259,1),(287,1),(293,1),(294,1),(311,1)}
       277:{2,5}:{(255,1),(292,1),(293,1)}
       278:{1,4,6}:{(256,1),(257,1),(289,1),(314,1)}
       279:{1,2,4}:{(259,1),(260,1),(293,1),(294,1)}
       280:{1,5,6}:{(261,1),(269,1),(295,1)}
       281:{1,4,5,7}:{(261,1),(262,1),(264,1),(270,1),(295,1),(296,1)}
       282:{1,3,4,7}:{(262,1),(263,1),(265,1),(271,1),(296,1),(297,1)}
       283:{2,3,7}:{(263,1),(266,1),(297,1),(298,1),(304,1)}
       284:{1,3,5}:{(264,1),(265,1),(274,1),(299,1)}
       285:{2,4,6}:{(265,1),(266,1),(267,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,6}:{(266,1),(268,1),(298,1),(300,1),(301,1)}
       287:{1,4}:{(267,1),(268,1)}
       288:{1,2,5}:{(268,1),(277,1),(301,1),(302,1)}
       289:{2,4,6}:{(269,1),(270,1),(278,1),(295,1),(303,1),(312,1)}
       290:{3,5,7}:{(270,1),(271,1),(274,1),(303,1)}
       291:{1,3,7}:{(272,1),(273,1),(275,1),(304,1)}
       292:{2,6}:{(275,1),(277,1),(304,1)}
       293:{2,4}:{(276,1),(277,1),(305,1)}
       294:{1,3}:{(279,1),(305,1)}
       295:{1,4,6}:{(280,1),(281,1),(289,1),(306,1)}
       296:{1,3,5,7}:{(281,1),(282,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,4,7}:{(282,1),(283,1),(285,1),(307,1),(308,1)}
       298:{1,3,7}:{(283,1),(286,1),(308,1),(309,1)}
       299:{2,5}:{(284,1),(285,1),(310,1)}
       300:{1,4,6}:{(285,1),(286,1),(287,1),(308,1),(310,1),(314,1)}
       301:{1,2,6}:{(286,1),(288,1),(292,1),(309,1)}
       302:{1,2,4}:{(287,1),(288,1),(293,1),(311,1)}
       303:{3,6}:{(289,1),(290,1)}
       304:{2,7}:{(291,1),(292,1)}
       305:{2,3}:{(293,1),(294,1),(311,1)}
       306:{1,3,6}:{(295,1),(296,1),(303,1),(312,1)}
       307:{2,5,7}:{(296,1),(297,1),(299,1),(312,1),(313,1)}
       308:{1,4,7}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,2,7}:{(298,1),(301,1),(304,1)}
       310:{1,5}:{(299,1),(300,1)}
       311:{1,3}:{(302,1),(305,1)}
       312:{2,6}:{(306,1),(307,1),(314,1)}
       313:{1,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1820 :   0:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(16,1),(149,1),(200,1),(246,1)}
         1:{1,3,6,7}:{(0,1),(4,1),(7,1),(26,1),(162,1),(268,1)}
         2:{1,2,5,7}:{(0,1),(5,1),(7,1),(23,1),(105,1),(175,1),(224,1)}
         3:{1,2,6,7}:{(9,1),(10,1),(90,1),(132,1),(191,1),(200,1)}
         4:{2,3,6,7}:{(1,1),(9,1),(11,1),(12,1),(42,1),(83,1),(132,1),(200,1)}
         5:{1,2,5,6}:{(2,1),(13,1),(14,1),(37,1),(88,1),(130,1),(146,1),(189,1),(198,1)}
         6:{1,3,4,6,7}:{(1,1),(11,1),(15,1),(16,1),(39,1),(41,1),(44,1),(83,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(12,1),(13,1),(16,1),(78,1),(133,1)}
         8:{1,2,4,5,7}:{(2,1),(14,1),(16,1),(17,1),(38,1),(40,1),(46,1),(88,1),(93,1),(133,1),(134,1),(143,1),(189,1),(196,1),(243,1),(246,1)}
         9:{1,3,6,7}:{(3,1),(4,1),(19,1),(20,1),(64,1),(102,1)}
        10:{1,2,5,7}:{(3,1),(18,1),(20,1),(21,1),(103,1),(215,1),(224,1)}
        11:{2,4,6,7}:{(4,1),(6,1),(19,1),(23,1),(24,1),(58,1),(63,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(54,1),(59,1),(103,1),(224,1),(268,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(22,1),(25,1),(26,1),(62,1),(100,1),(159,1),(162,1),(217,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(25,1),(26,1),(58,1),(63,1),(120,1),(162,1),(173,1),(222,1)}
        15:{1,3,5,7}:{(6,1),(23,1),(27,1),(28,1),(59,1),(62,1)}
        16:{1,4,7}:{(7,1),(24,1),(25,1)}
        17:{1,3,5,7}:{(8,1),(26,1),(29,1),(30,1),(59,1),(62,1),(164,1),(217,1),(223,1),(268,1)}
        18:{1,2,5,6}:{(10,1),(31,1),(32,1),(90,1),(128,1),(132,1),(147,1),(188,1),(198,1)}
        19:{1,4,6,7}:{(9,1),(11,1),(33,1),(34,1),(75,1),(89,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(31,1),(33,1),(34,1),(35,1)}
        21:{1,2,4,7}:{(10,1),(32,1),(34,1),(35,1),(77,1),(238,1),(246,1),(277,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(31,1),(36,1),(37,1),(42,1),(73,1),(80,1),(83,1),(88,1),(128,1),(132,1),(198,1),(199,1),(247,1)}
        23:{2,5,7}:{(11,1),(15,1),(33,1),(37,1),(88,1)}
        24:{2,4,7}:{(12,1),(16,1),(34,1),(36,1),(39,1)}
        25:{1,4,6}:{(13,1),(16,1),(36,1),(40,1),(243,1)}
        26:{1,3,6}:{(14,1),(17,1),(42,1),(83,1),(247,1)}
        27:{1,3,5,6}:{(15,1),(37,1),(44,1),(83,1)}
        28:{1,4,5,7}:{(15,1),(16,1),(38,1),(40,1),(44,1),(133,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1),(41,1),(46,1),(243,1),(248,1)}
        30:{2,3,5,7}:{(17,1),(42,1),(46,1),(47,1),(88,1),(143,1),(144,1),(199,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(22,1),(49,1),(50,1),(51,1),(64,1),(98,1),(102,1),(117,1),(177,1)}
        32:{1,2,4,6}:{(18,1),(21,1),(48,1),(49,1),(50,1),(99,1),(212,1),(222,1),(259,1)}
        33:{1,5,7}:{(19,1),(23,1),(51,1),(117,1)}
        34:{1,4,7}:{(20,1),(24,1),(49,1)}
        35:{1,3,7}:{(21,1),(50,1),(54,1),(268,1)}
        36:{2,4,6}:{(22,1),(24,1),(25,1),(49,1),(55,1),(56,1),(226,1)}
        37:{2,5,6}:{(23,1),(27,1),(51,1),(58,1)}
        38:{2,4,5,7}:{(23,1),(24,1),(28,1),(52,1),(55,1),(58,1),(59,1),(103,1)}
        39:{3,4,7}:{(24,1),(56,1),(59,1),(268,1)}
        40:{1,4,5}:{(25,1),(55,1),(62,1),(159,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(29,1),(56,1),(62,1),(63,1)}
        42:{2,3,6}:{(26,1),(30,1),(63,1),(64,1),(173,1)}
        43:{1,3,5,6,7}:{(27,1),(57,1),(65,1),(111,1),(115,1),(274,1)}
        44:{1,4,6}:{(27,1),(28,1),(58,1),(162,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(59,1),(62,1),(66,1),(67,1),(106,1),(113,1),(115,1),(165,1),(167,1),(180,1),(221,1),(223,1),(232,1),(268,1),(273,1),(299,1)}
        46:{2,4,7}:{(29,1),(30,1),(63,1),(68,1),(226,1)}
        47:{1,3,5,7}:{(30,1),(64,1),(68,1),(69,1),(117,1),(122,1),(177,1)}
        48:{1,2,4,5}:{(32,1),(70,1),(71,1),(124,1),(128,1),(147,1),(185,1),(196,1),(205,1),(233,1),(236,1)}
        49:{1,4,6}:{(31,1),(34,1),(36,1),(71,1),(205,1)}
        50:{1,3,6}:{(32,1),(35,1),(70,1),(73,1),(247,1)}
        51:{1,5,6}:{(33,1),(37,1),(75,1)}
        52:{1,4,5,7}:{(33,1),(34,1),(38,1),(71,1),(75,1),(76,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(72,1),(76,1),(77,1)}
        54:{2,3,7}:{(35,1),(73,1),(77,1),(78,1),(277,1)}
        55:{2,4,5}:{(36,1),(40,1),(71,1),(80,1),(88,1),(128,1)}
        56:{3,4,6}:{(36,1),(39,1),(80,1),(83,1),(247,1),(248,1)}
        57:{2,5,6,7}:{(37,1),(43,1),(74,1),(82,1),(145,1),(288,1)}
        58:{2,4,6}:{(37,1),(38,1),(44,1),(75,1),(83,1),(132,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(46,1),(77,1),(81,1),(84,1),(85,1),(144,1),(194,1),(202,1),(234,1),(248,1),(285,1),(303,1)}
        61:{1,4,5,6}:{(40,1),(44,1),(79,1),(86,1),(87,1),(188,1),(195,1),(254,1),(289,1)}
        62:{1,3,5}:{(40,1),(41,1),(80,1),(88,1)}
        63:{2,4,6}:{(41,1),(42,1),(46,1),(88,1),(89,1)}
        64:{1,3,6}:{(42,1),(47,1),(89,1),(90,1)}
        65:{1,4,6,7}:{(43,1),(44,1),(82,1),(86,1),(191,1),(289,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(83,1),(87,1),(92,1),(135,1),(142,1),(195,1),(247,1),(289,1),(307,1)}
        67:{2,4,5,7}:{(45,1),(46,1),(84,1),(88,1),(92,1),(93,1),(136,1),(143,1),(145,1),(194,1),(196,1),(202,1),(246,1),(252,1)}
        68:{1,4,7}:{(46,1),(47,1),(89,1),(205,1)}
        69:{1,2,5,7}:{(47,1),(90,1),(94,1),(143,1),(147,1),(312,1)}
        70:{1,3,5}:{(48,1),(50,1),(95,1),(96,1),(223,1),(257,1)}
        71:{1,4,5}:{(49,1),(55,1),(98,1),(117,1)}
        72:{1,3,4,6}:{(49,1),(50,1),(53,1),(56,1),(95,1),(98,1),(99,1),(102,1)}
        73:{2,3,6}:{(50,1),(54,1),(96,1),(99,1),(100,1),(259,1)}
        74:{1,5,6,7}:{(51,1),(57,1),(101,1),(175,1),(298,1)}
        75:{1,4,6}:{(51,1),(52,1),(58,1),(102,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(59,1),(98,1),(102,1),(103,1)}
        77:{2,4,7}:{(53,1),(54,1),(99,1),(103,1),(104,1)}
        78:{1,3,7}:{(54,1),(100,1),(104,1),(105,1)}
        79:{2,4,5,6}:{(55,1),(58,1),(61,1),(97,1),(107,1),(108,1),(116,1),(158,1),(166,1),(222,1),(271,1),(300,1)}
        80:{3,5}:{(55,1),(56,1)}
        81:{2,3,4,6}:{(56,1),(60,1),(63,1),(99,1),(109,1),(110,1),(112,1),(152,1),(166,1),(171,1),(208,1),(226,1),(228,1),(269,1),(294,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(65,1),(101,1),(107,1),(111,1),(161,1),(300,1)}
        83:{3,6}:{(58,1),(59,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(67,1),(103,1),(109,1),(112,1),(113,1),(223,1),(268,1),(299,1),(310,1)}
        85:{1,3,4,7}:{(60,1),(68,1),(104,1),(110,1),(113,1),(114,1),(122,1),(164,1),(220,1),(221,1),(258,1),(268,1),(308,1)}
        86:{1,4,5,7}:{(61,1),(65,1),(107,1),(115,1),(215,1),(221,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(66,1),(108,1),(115,1),(116,1),(232,1)}
        88:{2,5}:{(62,1),(63,1),(117,1)}
        89:{1,4,6}:{(63,1),(64,1),(68,1),(117,1)}
        90:{1,2,6}:{(64,1),(69,1),(173,1),(314,1)}
        91:{1,3,4,6,7}:{(65,1),(66,1),(111,1),(115,1),(119,1),(165,1),(172,1),(221,1),(268,1)}
        92:{2,4,6}:{(66,1),(67,1),(112,1),(116,1),(120,1),(173,1)}
        93:{1,4,5,7}:{(67,1),(68,1),(113,1),(117,1),(120,1),(167,1),(175,1),(220,1),(221,1),(267,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(114,1),(118,1),(122,1),(290,1),(308,1)}
        95:{1,3,4}:{(70,1),(124,1),(205,1),(248,1)}
        96:{2,3,5}:{(70,1),(73,1),(124,1),(125,1),(128,1),(236,1),(237,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(79,1),(126,1),(127,1),(146,1),(195,1),(283,1),(306,1)}
        98:{1,3,5}:{(71,1),(72,1),(80,1),(128,1)}
        99:{2,4,6}:{(72,1),(73,1),(77,1),(124,1),(128,1),(129,1),(132,1)}
       100:{1,3,6}:{(73,1),(78,1),(125,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(82,1),(126,1),(131,1),(306,1)}
       102:{1,3,6}:{(75,1),(76,1),(83,1),(132,1)}
       103:{2,5,7}:{(76,1),(77,1),(128,1),(132,1),(133,1)}
       104:{1,4,7}:{(77,1),(78,1),(129,1),(133,1)}
       105:{1,2,7}:{(78,1),(130,1),(277,1)}
       106:{3,4,5}:{(80,1),(135,1),(136,1),(248,1),(286,1)}
       107:{2,4,5,7}:{(79,1),(82,1),(86,1),(126,1),(137,1),(145,1),(187,1),(194,1),(246,1)}
       108:{3,5,6}:{(79,1),(80,1),(83,1),(135,1),(137,1),(247,1),(286,1),(307,1)}
       109:{2,3,5}:{(80,1),(81,1),(88,1),(128,1),(136,1),(139,1),(252,1),(286,1),(304,1)}
       110:{1,3,4,6}:{(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(142,1),(148,1),(182,1),(190,1),(195,1),(205,1),(235,1),(243,1),(245,1),(247,1),(248,1),(302,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1),(307,1)}
       112:{2,3,6}:{(83,1),(84,1),(92,1),(132,1),(142,1),(247,1),(307,1),(313,1)}
       113:{1,3,5,7}:{(84,1),(85,1),(93,1),(133,1),(139,1),(142,1),(143,1),(312,1)}
       114:{2,4,7}:{(85,1),(140,1),(143,1),(144,1),(277,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(91,1),(137,1),(145,1)}
       116:{2,5,6}:{(87,1),(88,1),(92,1),(145,1),(146,1),(252,1)}
       117:{1,5}:{(88,1),(89,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(94,1),(140,1),(147,1),(148,1),(205,1),(233,1),(275,1),(302,1)}
       119:{2,4,6,7}:{(91,1),(92,1),(141,1),(145,1),(149,1),(194,1),(200,1),(246,1)}
       120:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       121:{1,2,4,5,7}:{(93,1),(94,1),(143,1),(147,1),(150,1),(151,1),(196,1),(202,1),(203,1),(205,1),(246,1),(252,1),(253,1),(254,1),(287,1),(312,1)}
       122:{1,3,7}:{(94,1),(144,1),(148,1)}
       123:{1,3,4,5}:{(95,1),(98,1),(106,1),(153,1),(154,1),(167,1),(209,1),(223,1),(263,1),(296,1)}
       124:{2,4}:{(95,1),(96,1),(155,1)}
       125:{1,3,5}:{(96,1),(100,1),(155,1),(156,1),(159,1),(214,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(107,1),(157,1),(175,1),(221,1)}
       127:{1,3,5,6}:{(97,1),(98,1),(102,1),(108,1),(153,1),(157,1),(158,1),(296,1),(311,1)}
       128:{2,5}:{(98,1),(99,1),(159,1)}
       129:{1,4,6}:{(99,1),(100,1),(104,1),(155,1),(159,1),(162,1)}
       130:{1,2,6}:{(100,1),(105,1),(156,1),(259,1)}
       131:{1,3,6,7}:{(101,1),(102,1),(111,1),(157,1),(161,1),(311,1)}
       132:{2,6}:{(102,1),(103,1),(162,1)}
       133:{1,5,7}:{(103,1),(104,1),(159,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(105,1),(114,1),(160,1),(163,1),(164,1),(220,1)}
       135:{3,4,6}:{(106,1),(108,1),(165,1),(166,1)}
       136:{2,4,5}:{(106,1),(109,1),(166,1),(167,1),(226,1)}
       137:{3,5,7}:{(107,1),(108,1),(111,1),(165,1),(268,1)}
       138:{2,3,5,6}:{(108,1),(109,1),(112,1),(116,1),(158,1),(166,1),(168,1),(169,1),(208,1)}
       139:{1,3,5}:{(109,1),(110,1),(117,1),(159,1),(167,1),(170,1),(223,1),(267,1),(309,1)}
       140:{2,4,6}:{(110,1),(114,1),(170,1),(171,1),(173,1),(210,1),(226,1),(259,1)}
       141:{2,3,6,7}:{(111,1),(112,1),(119,1),(161,1),(168,1),(172,1),(268,1)}
       142:{1,3,6}:{(112,1),(113,1),(120,1),(162,1),(173,1),(314,1)}
       143:{2,5,7}:{(113,1),(114,1),(170,1),(173,1)}
       144:{2,3,7}:{(114,1),(122,1),(164,1),(171,1),(268,1)}
       145:{2,5,7}:{(115,1),(116,1),(119,1),(175,1)}
       146:{1,5,6}:{(116,1),(117,1),(120,1),(175,1),(267,1)}
       147:{1,2,5}:{(117,1),(118,1),(170,1),(177,1),(309,1)}
       148:{1,3,6}:{(118,1),(122,1),(171,1),(177,1),(257,1)}
       149:{1,4,6,7}:{(119,1),(120,1),(172,1),(175,1),(221,1)}
       150:{1,2,4,6}:{(120,1),(121,1),(173,1),(176,1),(179,1),(222,1),(228,1),(230,1),(300,1),(314,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(174,1),(177,1),(179,1),(180,1),(223,1),(232,1),(268,1),(299,1)}
       152:{2,3,4}:{(124,1),(181,1),(182,1),(237,1),(248,1),(279,1)}
       153:{1,3,4,6}:{(123,1),(127,1),(135,1),(183,1),(184,1),(195,1),(235,1),(247,1)}
       154:{2,4,5}:{(123,1),(124,1),(128,1),(181,1),(184,1),(185,1),(236,1),(279,1),(304,1)}
       155:{1,4}:{(124,1),(125,1)}
       156:{1,2,5}:{(125,1),(130,1),(186,1),(236,1)}
       157:{1,3,5,7}:{(126,1),(127,1),(131,1),(137,1),(183,1),(187,1)}
       158:{2,5,6}:{(127,1),(128,1),(132,1),(184,1),(187,1),(188,1),(304,1),(313,1)}
       159:{1,5}:{(128,1),(129,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(134,1),(140,1),(186,1),(189,1),(190,1),(192,1),(243,1),(245,1)}
       161:{2,6,7}:{(131,1),(132,1),(187,1),(191,1),(313,1)}
       162:{1,6}:{(132,1),(133,1)}
       163:{1,2,5,7}:{(133,1),(134,1),(143,1),(189,1),(192,1),(193,1)}
       164:{1,3,7}:{(134,1),(144,1),(190,1)}
       165:{3,4,7}:{(135,1),(137,1),(194,1)}
       166:{2,4,6}:{(135,1),(136,1),(138,1),(194,1),(195,1)}
       167:{1,4,5}:{(136,1),(139,1),(195,1),(196,1),(205,1),(243,1)}
       168:{2,3,5,7}:{(137,1),(138,1),(141,1),(145,1),(187,1),(194,1),(197,1),(234,1)}
       169:{1,3,5,6}:{(138,1),(139,1),(142,1),(146,1),(188,1),(195,1),(197,1),(198,1),(235,1),(247,1)}
       170:{2,5}:{(139,1),(140,1)}
       171:{2,3,6}:{(140,1),(144,1),(148,1),(190,1),(199,1),(237,1),(247,1)}
       172:{1,3,6,7}:{(141,1),(142,1),(149,1),(191,1),(197,1),(200,1)}
       173:{2,6}:{(142,1),(143,1)}
       174:{2,3,5,7}:{(143,1),(144,1),(151,1),(193,1),(199,1),(201,1),(202,1),(252,1)}
       175:{1,5,7}:{(145,1),(146,1),(149,1)}
       176:{1,2,5,6}:{(146,1),(147,1),(150,1),(198,1),(203,1),(204,1),(252,1),(275,1),(288,1)}
       177:{1,3,5}:{(147,1),(148,1),(199,1),(205,1)}
       178:{1,2,4,6,7}:{(149,1),(150,1),(200,1),(203,1),(206,1),(246,1),(251,1),(253,1)}
       179:{1,3,6}:{(150,1),(151,1),(201,1),(247,1),(307,1)}
       180:{1,3,4,7}:{(151,1),(202,1),(205,1),(207,1),(248,1),(253,1),(285,1)}
       181:{2,3,5}:{(152,1),(154,1),(208,1),(209,1),(223,1)}
       182:{1,3,4}:{(152,1),(155,1),(209,1),(210,1),(214,1),(257,1),(292,1)}
       183:{1,3,4,7}:{(153,1),(157,1),(165,1),(211,1),(221,1),(258,1),(268,1)}
       184:{2,4,6}:{(153,1),(154,1),(158,1),(208,1),(211,1),(212,1),(259,1)}
       185:{1,4,5}:{(154,1),(155,1),(159,1),(209,1),(212,1),(292,1),(309,1)}
       186:{1,2,4}:{(155,1),(156,1),(210,1),(214,1)}
       187:{2,5,7}:{(157,1),(158,1),(161,1),(211,1),(215,1)}
       188:{1,5,6}:{(158,1),(159,1),(162,1),(212,1),(215,1),(309,1),(314,1)}
       189:{1,2,5}:{(159,1),(160,1),(170,1),(217,1),(267,1)}
       190:{1,3,6}:{(160,1),(164,1),(171,1),(214,1),(217,1)}
       191:{1,6,7}:{(161,1),(162,1),(215,1),(314,1)}
       192:{1,2,6}:{(162,1),(163,1),(173,1),(219,1)}
       193:{1,3,5,7}:{(163,1),(164,1),(174,1),(217,1),(219,1),(220,1),(267,1)}
       194:{2,4,7}:{(165,1),(166,1),(168,1),(221,1)}
       195:{1,4,6}:{(166,1),(167,1),(169,1),(221,1),(222,1)}
       196:{2,4,5}:{(167,1),(170,1),(222,1),(223,1),(226,1)}
       197:{1,3,5,7}:{(168,1),(169,1),(172,1),(175,1),(215,1),(221,1),(224,1),(258,1),(268,1)}
       198:{2,5,6}:{(169,1),(170,1),(173,1),(222,1),(224,1),(259,1)}
       199:{2,3,5}:{(170,1),(171,1),(177,1),(217,1),(223,1),(226,1)}
       200:{2,6,7}:{(172,1),(173,1),(224,1)}
       201:{2,3,6}:{(173,1),(174,1),(179,1),(219,1),(228,1)}
       202:{2,4,7}:{(174,1),(180,1),(220,1),(226,1),(228,1)}
       203:{1,2,5,7}:{(175,1),(176,1),(178,1),(224,1),(229,1),(272,1),(290,1)}
       204:{1,3,5,6}:{(176,1),(177,1),(179,1),(225,1),(229,1),(230,1),(232,1),(291,1),(309,1),(314,1)}
       205:{1,4}:{(177,1),(226,1)}
       206:{1,3,6,7}:{(178,1),(179,1),(227,1),(229,1),(268,1),(314,1)}
       207:{1,3,4,6}:{(179,1),(180,1),(228,1),(230,1),(232,1),(269,1)}
       208:{2,3,6}:{(181,1),(184,1),(234,1),(235,1),(247,1)}
       209:{1,3,5}:{(181,1),(182,1),(185,1),(235,1),(236,1)}
       210:{2,4}:{(182,1),(236,1),(237,1)}
       211:{2,4,7}:{(183,1),(184,1),(187,1),(234,1),(238,1),(277,1)}
       212:{1,4,6}:{(184,1),(185,1),(188,1),(235,1),(238,1)}
       213:{1,2,4,5}:{(185,1),(186,1),(189,1),(196,1),(236,1),(239,1),(240,1),(243,1),(279,1),(283,1),(304,1)}
       214:{1,3}:{(186,1),(237,1)}
       215:{1,5,7}:{(187,1),(188,1),(191,1),(238,1)}
       216:{1,2,5,6}:{(188,1),(189,1),(192,1),(198,1),(239,1),(241,1),(242,1),(304,1),(313,1)}
       217:{1,3,5}:{(189,1),(190,1),(199,1),(243,1)}
       218:{1,2,6,7}:{(191,1),(192,1),(200,1),(241,1),(244,1),(313,1)}
       219:{1,3,6}:{(192,1),(193,1),(201,1),(245,1)}
       220:{1,4,7}:{(193,1),(202,1),(243,1),(245,1)}
       221:{1,4,7}:{(194,1),(195,1),(197,1),(246,1)}
       222:{2,4,6}:{(195,1),(196,1),(198,1),(246,1),(247,1)}
       223:{3,5}:{(196,1),(247,1),(248,1)}
       224:{2,5,7}:{(197,1),(198,1),(200,1),(246,1),(277,1)}
       225:{2,3,5,6}:{(198,1),(199,1),(201,1),(204,1),(242,1),(247,1),(249,1),(250,1),(252,1),(278,1),(286,1),(288,1),(304,1),(307,1),(313,1)}
       226:{2,4}:{(199,1),(205,1),(243,1),(248,1)}
       227:{2,3,6,7}:{(200,1),(201,1),(206,1),(244,1),(249,1),(251,1),(307,1),(313,1)}
       228:{2,4,6}:{(201,1),(202,1),(207,1),(245,1),(252,1)}
       229:{1,3,5,7}:{(203,1),(204,1),(206,1),(249,1),(253,1),(301,1),(312,1)}
       230:{1,4,6}:{(204,1),(205,1),(250,1),(253,1),(254,1)}
       231:{1,3,4,6,7}:{(206,1),(207,1),(251,1),(253,1),(255,1),(285,1),(289,1),(307,1)}
       232:{1,3,5}:{(207,1),(252,1),(254,1),(286,1)}
       233:{1,2,4}:{(210,1),(256,1),(257,1),(292,1)}
       234:{2,3,7}:{(208,1),(211,1),(258,1),(268,1)}
       235:{1,3,6}:{(208,1),(209,1),(212,1),(258,1),(259,1)}
       236:{2,5}:{(209,1),(210,1),(259,1)}
       237:{2,3}:{(210,1),(214,1),(257,1)}
       238:{1,4,7}:{(211,1),(212,1),(215,1),(258,1)}
       239:{1,2,4,6}:{(212,1),(213,1),(216,1),(222,1),(259,1),(261,1),(262,1),(265,1),(294,1)}
       240:{1,3,5}:{(213,1),(214,1),(223,1),(260,1),(262,1),(263,1)}
       241:{1,2,5,7}:{(215,1),(216,1),(218,1),(224,1),(261,1),(264,1),(310,1)}
       242:{1,3,5,6}:{(216,1),(217,1),(219,1),(225,1),(262,1),(264,1),(265,1),(267,1),(296,1),(298,1),(311,1)}
       243:{1,4}:{(217,1),(226,1)}
       244:{1,3,6,7}:{(218,1),(219,1),(227,1),(264,1),(266,1),(311,1)}
       245:{1,4,6}:{(219,1),(220,1),(228,1),(267,1)}
       246:{2,4,7}:{(221,1),(222,1),(224,1),(268,1)}
       247:{3,6}:{(222,1),(223,1),(268,1)}
       248:{3,4}:{(223,1),(226,1)}
       249:{2,3,5,7}:{(224,1),(225,1),(227,1),(229,1),(264,1),(268,1),(270,1),(272,1),(293,1),(299,1),(310,1)}
       250:{2,4,6}:{(225,1),(226,1),(230,1),(265,1),(269,1),(270,1),(271,1)}
       251:{2,4,6,7}:{(227,1),(228,1),(231,1),(266,1),(270,1),(272,1),(300,1)}
       252:{2,5}:{(228,1),(232,1),(267,1)}
       253:{1,4,7}:{(229,1),(230,1),(270,1)}
       254:{1,4,5}:{(230,1),(232,1),(271,1),(309,1)}
       255:{1,3,5,7}:{(231,1),(232,1),(272,1),(273,1),(274,1),(299,1)}
       256:{1,2,5}:{(233,1),(236,1),(275,1),(276,1)}
       257:{1,3}:{(233,1),(237,1)}
       258:{1,3,7}:{(234,1),(235,1),(238,1),(277,1)}
       259:{2,6}:{(235,1),(236,1),(277,1)}
       260:{2,3,5}:{(236,1),(237,1),(240,1),(276,1),(278,1),(279,1),(304,1)}
       261:{1,2,4,7}:{(238,1),(239,1),(241,1),(246,1),(277,1),(280,1),(282,1),(303,1)}
       262:{1,3,6}:{(239,1),(240,1),(247,1),(278,1),(280,1)}
       263:{1,3,4}:{(240,1),(243,1),(248,1),(279,1)}
       264:{1,3,5,7}:{(241,1),(242,1),(244,1),(249,1),(280,1),(282,1),(284,1)}
       265:{1,4,6}:{(242,1),(243,1),(250,1),(282,1),(283,1)}
       266:{1,4,6,7}:{(244,1),(245,1),(251,1),(282,1),(284,1),(306,1)}
       267:{1,5}:{(245,1),(252,1)}
       268:{3,7}:{(246,1),(247,1)}
       269:{3,4,6}:{(247,1),(248,1),(250,1),(285,1),(286,1),(307,1)}
       270:{2,4,7}:{(249,1),(250,1),(253,1),(282,1),(285,1)}
       271:{2,4,5}:{(250,1),(252,1),(254,1),(283,1),(286,1),(304,1)}
       272:{2,5,7}:{(251,1),(252,1),(255,1),(284,1),(288,1)}
       273:{1,4,5,7}:{(253,1),(254,1),(255,1),(287,1),(289,1),(312,1)}
       274:{1,3,5,6}:{(255,1),(288,1),(289,1),(307,1)}
       275:{1,2,6}:{(256,1),(259,1),(290,1),(291,1)}
       276:{1,3,5}:{(256,1),(257,1),(260,1),(291,1),(292,1),(309,1)}
       277:{2,7}:{(258,1),(259,1)}
       278:{2,3,6}:{(259,1),(260,1),(262,1),(291,1),(293,1),(294,1)}
       279:{2,4}:{(260,1),(263,1),(292,1)}
       280:{1,3,7}:{(261,1),(262,1),(268,1),(293,1)}
       281:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(294,1),(295,1),(296,1),(311,1)}
       282:{1,4,7}:{(264,1),(265,1),(270,1)}
       283:{1,4,5}:{(265,1),(267,1),(271,1),(296,1)}
       284:{1,5,7}:{(266,1),(267,1),(272,1),(298,1)}
       285:{3,4,7}:{(268,1),(269,1),(270,1),(299,1)}
       286:{3,5}:{(269,1),(271,1)}
       287:{2,4,5,7}:{(270,1),(271,1),(272,1),(273,1),(297,1),(299,1),(300,1),(310,1)}
       288:{2,5,6}:{(272,1),(274,1),(298,1),(300,1)}
       289:{1,4,6}:{(273,1),(274,1),(300,1),(314,1)}
       290:{1,2,7}:{(275,1),(277,1),(301,1)}
       291:{1,3,6}:{(275,1),(276,1),(278,1),(301,1),(302,1)}
       292:{1,4}:{(276,1),(279,1)}
       293:{2,3,7}:{(277,1),(278,1),(280,1),(301,1),(303,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(302,1),(303,1),(304,1),(313,1)}
       295:{1,3,4,7}:{(280,1),(281,1),(282,1),(285,1),(303,1),(305,1)}
       296:{1,3,5}:{(281,1),(283,1),(286,1),(304,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(284,1),(287,1),(305,1),(306,1)}
       298:{1,5,6}:{(284,1),(288,1),(306,1)}
       299:{3,5,7}:{(285,1),(286,1),(287,1),(307,1)}
       300:{2,4,6}:{(287,1),(288,1),(289,1),(306,1),(307,1),(313,1)}
       301:{1,3,7}:{(290,1),(291,1),(293,1),(308,1)}
       302:{1,4,6}:{(291,1),(292,1),(294,1),(308,1),(309,1),(314,1)}
       303:{2,4,7}:{(293,1),(294,1),(295,1),(308,1),(310,1)}
       304:{2,5}:{(294,1),(296,1),(309,1)}
       305:{1,3,5,7}:{(295,1),(296,1),(297,1),(299,1),(310,1),(311,1)}
       306:{1,4,6}:{(297,1),(298,1),(300,1),(311,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{1,4,7}:{(301,1),(302,1),(303,1),(312,1)}
       309:{1,5}:{(302,1),(304,1)}
       310:{2,5,7}:{(303,1),(304,1),(305,1),(312,1),(313,1)}
       311:{1,3,6}:{(305,1),(306,1),(307,1),(313,1)}
       312:{1,5,7}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,6}:{(310,1),(311,1),(314,1)}
       314:{1,6}:{(312,1),(313,1)}

1821 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(42,1),(44,1),(83,1),(85,1),(86,1),(88,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(4,1),(5,1),(8,1),(21,1),(28,1),(33,1),(56,1),(64,1),(66,1),(72,1),(98,1),(105,1),(108,1),(111,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(62,1),(104,1),(106,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(4,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,4,6,7}:{(1,1),(12,1),(13,1),(44,1),(45,1),(93,1),(119,1),(130,1),(133,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1),(92,1),(118,1),(126,1),(134,1),(152,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(16,1),(50,1),(88,1),(90,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(17,1),(44,1),(84,1)}
         8:{1,3,6,7}:{(3,1),(12,1),(18,1),(53,1),(121,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(13,1),(18,1),(19,1),(126,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(4,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(6,1),(23,1),(24,1),(62,1),(103,1),(104,1)}
        12:{2,3,6,7}:{(4,1),(8,1),(21,1),(25,1),(66,1),(74,1),(100,1),(143,1),(147,1)}
        13:{2,5,7}:{(4,1),(5,1),(26,1),(114,1),(137,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(26,1),(28,1),(66,1),(111,1),(113,1)}
        15:{1,4,5,7}:{(5,1),(7,1),(27,1),(28,1),(33,1),(56,1),(71,1),(97,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(31,1)}
        17:{3,4,5,7}:{(7,1),(31,1),(62,1),(64,1),(106,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(32,1),(33,1)}
        19:{1,2,5,6}:{(9,1),(26,1),(32,1),(34,1),(113,1),(114,1),(140,1),(149,1),(162,1)}
        20:{1,2,4,5,7}:{(9,1),(27,1),(33,1),(34,1),(35,1),(70,1),(71,1),(73,1),(112,1),(114,1),(139,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(12,1),(36,1),(78,1),(95,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(13,1),(36,1),(37,1),(126,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(14,1),(39,1),(40,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(16,1),(40,1),(41,1),(42,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(18,1),(36,1),(43,1),(44,1),(46,1),(156,1),(170,1)}
        26:{2,5,6}:{(13,1),(14,1),(45,1),(133,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(46,1),(84,1)}
        28:{1,4,6}:{(14,1),(15,1),(16,1),(45,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(46,1),(48,1),(49,1),(52,1),(77,1),(82,1),(89,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        30:{2,4,5,6}:{(16,1),(41,1),(47,1),(50,1),(84,1),(90,1),(160,1)}
        31:{3,4,6}:{(16,1),(17,1),(50,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(43,1),(51,1),(53,1),(92,1),(121,1),(152,1),(169,1)}
        33:{1,4,7}:{(18,1),(44,1),(51,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(45,1),(51,1),(53,1),(91,1),(93,1),(133,1),(160,1)}
        35:{1,3,5,7}:{(20,1),(46,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6}:{(22,1),(26,1),(55,1),(57,1),(113,1),(117,1),(137,1),(149,1),(150,1)}
        38:{1,2,4,5,7}:{(22,1),(27,1),(56,1),(57,1),(58,1),(70,1),(97,1),(99,1),(112,1),(116,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,5,6,7}:{(23,1),(26,1),(59,1),(104,1),(143,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(28,1),(59,1),(60,1)}
        41:{2,4,5,7}:{(24,1),(30,1),(60,1),(62,1),(104,1),(164,1)}
        42:{3,4,6,7}:{(24,1),(31,1),(62,1)}
        43:{2,3,5,6}:{(25,1),(26,1),(32,1),(55,1),(63,1),(66,1),(74,1),(100,1),(106,1),(114,1),(137,1),(149,1),(166,1),(167,1)}
        44:{2,4,7}:{(25,1),(33,1),(56,1),(63,1),(64,1)}
        45:{2,4,6}:{(26,1),(27,1),(28,1),(66,1)}
        46:{3,5,7}:{(27,1),(64,1),(66,1),(106,1)}
        47:{1,4,5,6}:{(28,1),(30,1),(60,1),(65,1),(68,1),(71,1),(97,1),(113,1),(148,1)}
        48:{1,3,4,6}:{(28,1),(29,1),(31,1),(66,1),(68,1),(69,1),(109,1),(111,1),(148,1),(167,1)}
        49:{2,4,5,7}:{(29,1),(67,1),(69,1),(70,1),(73,1),(99,1),(104,1),(112,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        50:{3,5,6}:{(30,1),(31,1),(62,1),(106,1),(167,1)}
        51:{1,4,6}:{(32,1),(33,1),(63,1),(71,1),(173,1)}
        52:{1,3,4,7}:{(33,1),(35,1),(64,1),(72,1),(73,1),(173,1),(174,1)}
        53:{1,3,6}:{(34,1),(35,1),(66,1),(74,1),(167,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(112,1),(114,1),(147,1),(166,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(43,1),(76,1),(78,1),(95,1),(118,1),(134,1),(161,1)}
        56:{1,4,7}:{(36,1),(44,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(45,1),(76,1),(78,1),(91,1),(119,1),(133,1),(160,1)}
        58:{1,3,5,7}:{(38,1),(46,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{2,4,6,7}:{(39,1),(40,1),(45,1),(80,1),(81,1)}
        60:{1,4,5,7}:{(40,1),(41,1),(47,1),(80,1),(82,1),(126,1),(155,1)}
        61:{1,3,4,6,7}:{(40,1),(42,1),(48,1),(81,1),(82,1),(83,1),(123,1),(125,1),(155,1),(170,1)}
        62:{3,5,7}:{(41,1),(42,1),(50,1),(170,1)}
        63:{2,4,6}:{(43,1),(44,1),(51,1),(76,1),(84,1),(85,1),(172,1)}
        64:{3,4,7}:{(44,1),(46,1),(85,1),(170,1)}
        65:{2,4,5,6}:{(45,1),(47,1),(80,1),(84,1),(87,1),(90,1),(131,1)}
        66:{3,6}:{(45,1),(46,1)}
        67:{2,3,5,7}:{(46,1),(49,1),(86,1),(88,1),(89,1),(128,1),(170,1),(171,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(87,1),(90,1),(92,1),(118,1)}
        69:{2,4,6}:{(48,1),(49,1),(88,1),(90,1),(91,1),(133,1)}
        70:{1,4,5,7}:{(49,1),(89,1),(91,1),(94,1),(120,1),(126,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(84,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(85,1),(92,1),(93,1)}
        73:{2,4,7}:{(52,1),(54,1),(93,1),(94,1),(172,1)}
        74:{2,3,6}:{(53,1),(54,1),(93,1),(95,1),(133,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(56,1),(63,1),(97,1),(168,1)}
        77:{1,3,4,7}:{(56,1),(58,1),(64,1),(98,1),(99,1),(168,1),(174,1)}
        78:{1,3,6}:{(57,1),(58,1),(66,1),(100,1),(167,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(112,1),(137,1),(147,1),(166,1)}
        80:{2,4,5,7}:{(59,1),(60,1),(65,1),(102,1),(104,1),(141,1)}
        81:{3,6,7}:{(59,1),(66,1),(102,1)}
        82:{1,3,5,7}:{(60,1),(61,1),(62,1),(68,1),(102,1),(104,1)}
        83:{2,4,6,7}:{(61,1),(69,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{2,4,5}:{(63,1),(71,1),(97,1),(106,1),(114,1),(137,1)}
        85:{3,4,6}:{(63,1),(64,1),(66,1),(106,1),(167,1),(174,1)}
        86:{2,3,4,7}:{(64,1),(67,1),(73,1),(99,1),(107,1),(108,1),(141,1),(147,1),(174,1)}
        87:{3,5,6}:{(65,1),(66,1),(102,1),(106,1),(109,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(167,1)}
        89:{1,3,5,7}:{(67,1),(70,1),(108,1),(111,1),(112,1),(145,1)}
        90:{2,5,6}:{(68,1),(69,1),(104,1),(113,1),(114,1),(137,1)}
        91:{1,4,6}:{(69,1),(70,1),(111,1),(113,1)}
        92:{1,3,5}:{(71,1),(72,1),(106,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,4,7}:{(73,1),(75,1),(115,1),(168,1)}
        95:{1,3,6}:{(74,1),(75,1),(115,1),(117,1)}
        96:{1,2,5,7}:{(75,1),(112,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(84,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(85,1),(118,1),(119,1)}
        99:{2,4,7}:{(77,1),(79,1),(119,1),(120,1),(172,1)}
       100:{2,3,6}:{(78,1),(79,1),(119,1),(121,1),(133,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(81,1),(87,1),(123,1)}
       103:{2,3,6,7}:{(81,1),(83,1),(88,1),(124,1),(125,1),(170,1)}
       104:{2,5,7}:{(82,1),(83,1),(90,1),(126,1)}
       105:{1,4,6,7}:{(83,1),(91,1),(125,1),(126,1),(155,1)}
       106:{3,5}:{(84,1),(85,1)}
       107:{2,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(119,1),(128,1),(129,1),(131,1),(159,1),(172,1)}
       108:{1,3,4,7}:{(86,1),(89,1),(94,1),(120,1),(129,1),(130,1),(136,1),(154,1),(155,1),(170,1)}
       109:{3,4,6}:{(87,1),(123,1),(127,1),(131,1)}
       110:{2,3,5,6}:{(87,1),(88,1),(90,1),(124,1),(128,1),(131,1),(132,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(133,1)}
       112:{2,5,7}:{(89,1),(130,1),(133,1),(158,1)}
       113:{1,5,6}:{(90,1),(91,1),(126,1),(134,1),(152,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,4,7}:{(94,1),(96,1),(130,1),(135,1),(136,1)}
       117:{1,2,6}:{(95,1),(96,1),(133,1)}
       118:{1,3,5}:{(97,1),(98,1),(106,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,4,7}:{(99,1),(101,1),(138,1),(173,1)}
       121:{1,3,6}:{(100,1),(101,1),(138,1),(140,1)}
       122:{1,2,5,7}:{(101,1),(112,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(109,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(110,1),(141,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(105,1),(111,1),(142,1),(143,1)}
       126:{1,5,7}:{(104,1),(105,1),(113,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,3,5}:{(106,1),(107,1),(114,1),(137,1),(144,1),(145,1)}
       129:{1,3,4,6}:{(107,1),(108,1),(111,1),(115,1),(138,1),(145,1),(146,1),(148,1),(151,1),(163,1),(167,1),(168,1),(173,1),(174,1)}
       130:{2,4,7}:{(108,1),(112,1),(146,1),(147,1)}
       131:{2,4,6}:{(109,1),(110,1),(141,1),(144,1),(148,1)}
       132:{1,3,5,6}:{(110,1),(111,1),(113,1),(142,1),(145,1),(148,1),(149,1),(167,1)}
       133:{2,6}:{(111,1),(112,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(146,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(116,1),(147,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,4,7}:{(120,1),(122,1),(130,1),(153,1),(154,1)}
       140:{1,2,6}:{(121,1),(122,1),(133,1)}
       141:{2,4,7}:{(123,1),(124,1),(131,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(132,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(125,1),(133,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(131,1),(157,1),(172,1)}
       145:{1,3,5}:{(128,1),(129,1),(134,1),(152,1),(157,1),(158,1),(171,1)}
       146:{2,4,6}:{(129,1),(130,1),(133,1),(158,1),(159,1),(172,1)}
       147:{2,3,7}:{(130,1),(136,1),(154,1),(159,1),(170,1)}
       148:{1,4,6}:{(131,1),(132,1),(155,1),(157,1),(160,1)}
       149:{2,5,6}:{(132,1),(133,1),(156,1),(158,1),(160,1)}
       150:{1,2,5}:{(134,1),(135,1),(158,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(159,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(139,1),(147,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(148,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(149,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(148,1),(165,1),(168,1),(173,1)}
       158:{2,5}:{(145,1),(146,1)}
       159:{2,3,6}:{(146,1),(147,1),(151,1),(163,1),(166,1),(167,1)}
       160:{2,4,6}:{(148,1),(149,1),(164,1),(165,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(166,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(158,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(159,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(160,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(160,1),(171,1),(172,1)}
       166:{2,3,5}:{(158,1),(159,1),(161,1),(169,1),(171,1),(172,1)}
       167:{3,6}:{(160,1),(170,1),(171,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(166,1),(173,1)}
       170:{3,7}:{(164,1),(167,1)}
       171:{3,5}:{(165,1),(167,1),(174,1)}
       172:{2,4}:{(166,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1822 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1823 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1824 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(115,1),(198,1),(199,1),(207,1),(309,1),(314,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(39,1),(156,1),(361,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(17,1),(22,1),(45,1),(249,1),(251,1),(358,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(24,1),(314,1),(407,1)}
         4:{1,3,4,6}:{(1,1),(8,1),(10,1),(11,1),(31,1),(199,1),(201,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(63,1),(405,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(31,1),(71,1),(207,1),(303,1),(306,1),(440,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(18,1),(39,1),(88,1),(98,1),(99,1),(152,1),(158,1),(255,1),(274,1),(361,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(18,1),(22,1),(42,1),(56,1)}
        10:{2,3,4,6}:{(4,1),(16,1),(19,1),(20,1),(39,1),(50,1),(161,1),(165,1)}
        11:{1,3,4,7}:{(4,1),(5,1),(17,1),(20,1),(251,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(21,1),(22,1),(93,1),(259,1),(397,1),(398,1)}
        13:{1,3,4,5}:{(8,1),(23,1),(24,1),(407,1),(425,1)}
        14:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(199,1),(329,1)}
        15:{1,2,4,5,7}:{(7,1),(27,1),(28,1),(63,1),(126,1),(132,1),(133,1),(200,1),(209,1),(307,1),(325,1),(405,1)}
        16:{2,3,5}:{(8,1),(10,1),(24,1),(29,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
        18:{1,2,4,6}:{(9,1),(31,1),(32,1),(67,1),(77,1)}
        19:{1,3,4,6}:{(10,1),(29,1),(33,1),(34,1),(62,1),(75,1),(129,1),(134,1)}
        20:{2,3,4,7}:{(10,1),(11,1),(30,1),(34,1),(63,1),(213,1)}
        21:{1,3,4,6,7}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(306,1),(308,1),(346,1),(349,1),(350,1),(405,1)}
        22:{1,2,5,7}:{(12,1),(32,1),(36,1),(132,1),(314,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(39,1),(40,1),(361,1),(379,1)}
        24:{2,4,5}:{(13,1),(16,1),(39,1),(41,1)}
        25:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(42,1),(43,1),(56,1),(94,1),(113,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(39,1),(44,1),(45,1),(50,1),(98,1),(158,1),(161,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(251,1),(376,1)}
        28:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(47,1),(93,1),(104,1),(172,1),(263,1),(371,1)}
        29:{1,3,5}:{(16,1),(19,1),(41,1),(48,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(20,1),(42,1),(49,1),(50,1)}
        31:{1,3,6}:{(17,1),(18,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(22,1),(51,1),(98,1),(397,1)}
        33:{1,2,4,6}:{(19,1),(48,1),(52,1),(53,1),(105,1),(107,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(49,1),(53,1),(92,1),(176,1)}
        35:{2,3,4,6,7}:{(20,1),(21,1),(50,1),(54,1),(55,1),(93,1),(109,1),(190,1),(268,1),(272,1),(294,1),(297,1),(299,1),(375,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(51,1),(55,1),(56,1),(360,1),(390,1)}
        37:{2,3,4,5}:{(24,1),(57,1),(58,1),(121,1),(316,1),(425,1)}
        38:{1,3,4,5,6}:{(23,1),(60,1),(61,1),(68,1),(116,1),(220,1),(221,1),(222,1),(329,1),(428,1)}
        39:{2,4,6}:{(23,1),(24,1),(26,1),(62,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(27,1),(63,1),(405,1),(422,1)}
        41:{1,4,5}:{(24,1),(29,1),(62,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(30,1),(63,1),(66,1),(67,1),(132,1)}
        43:{1,3,4,6}:{(25,1),(31,1),(67,1),(68,1),(77,1),(148,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(62,1),(69,1),(70,1),(75,1),(129,1),(137,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(63,1),(70,1),(71,1),(132,1),(209,1),(213,1)}
        46:{1,3,6,7}:{(27,1),(28,1),(31,1),(71,1),(418,1)}
        47:{1,2,5,6,7}:{(28,1),(32,1),(72,1),(132,1),(225,1),(307,1),(319,1),(437,1)}
        48:{1,2,5}:{(29,1),(33,1)}
        49:{1,3,5,7}:{(29,1),(30,1),(34,1),(66,1),(74,1),(75,1)}
        50:{2,3,6}:{(30,1),(31,1),(67,1),(75,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(36,1),(76,1),(77,1),(343,1),(349,1)}
        52:{1,2,3,6}:{(33,1),(73,1),(78,1),(129,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(74,1),(78,1)}
        54:{1,3,4,6,7}:{(34,1),(35,1),(75,1),(79,1),(80,1),(131,1),(147,1),(229,1),(233,1),(243,1),(245,1),(337,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(76,1),(80,1),(81,1),(132,1),(232,1),(327,1),(339,1)}
        56:{1,4,5,7}:{(36,1),(77,1),(81,1),(405,1),(407,1)}
        57:{2,3,4,6}:{(37,1),(39,1),(82,1),(83,1),(84,1),(161,1),(261,1),(379,1)}
        58:{1,3,4,5}:{(37,1),(41,1),(83,1),(85,1),(95,1),(153,1),(352,1)}
        59:{2,3,4,5,7}:{(37,1),(42,1),(84,1),(86,1),(87,1),(113,1),(164,1),(166,1),(197,1),(368,1),(375,1),(378,1),(463,1),(464,1),(466,1),(509,1)}
        60:{2,4,5,6}:{(38,1),(39,1),(82,1),(88,1),(89,1),(98,1),(158,1),(261,1),(457,1)}
        61:{1,3,4,5,7}:{(38,1),(40,1),(89,1),(90,1),(94,1),(159,1),(270,1),(271,1),(277,1),(376,1),(383,1)}
        62:{1,4,6}:{(39,1),(41,1),(44,1),(92,1)}
        63:{2,4,7}:{(39,1),(40,1),(45,1),(92,1)}
        64:{1,3,4,6,7}:{(40,1),(43,1),(46,1),(93,1),(94,1),(104,1),(190,1)}
        65:{1,2,4,5}:{(41,1),(48,1),(85,1),(91,1),(95,1),(105,1)}
        66:{1,4,5,7}:{(41,1),(42,1),(49,1),(92,1),(97,1),(178,1)}
        67:{2,4,6}:{(42,1),(43,1),(50,1),(97,1),(98,1)}
        68:{1,3,5,6}:{(43,1),(94,1),(98,1),(99,1),(184,1)}
        69:{1,2,5,6}:{(44,1),(48,1),(91,1),(101,1),(107,1),(158,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(92,1),(101,1),(102,1),(176,1),(178,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(93,1),(102,1),(263,1)}
        72:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(94,1),(103,1),(104,1),(358,1),(390,1),(394,1)}
        73:{1,2,3,5}:{(48,1),(52,1),(95,1),(105,1)}
        74:{1,2,5,7}:{(48,1),(49,1),(53,1),(107,1)}
        75:{1,3,6}:{(49,1),(50,1),(97,1),(107,1)}
        76:{2,3,5,6}:{(50,1),(51,1),(55,1),(98,1),(108,1),(109,1),(184,1),(290,1),(297,1)}
        77:{1,4,6}:{(51,1),(56,1),(109,1)}
        78:{1,2,3,7}:{(52,1),(53,1),(176,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(107,1),(110,1),(111,1),(191,1),(193,1),(195,1),(294,1)}
        80:{1,3,5,7}:{(54,1),(55,1),(108,1),(111,1),(112,1),(178,1),(287,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(109,1),(112,1),(113,1),(375,1),(378,1)}
        82:{2,3,5,6}:{(57,1),(60,1),(116,1),(117,1),(329,1)}
        83:{1,3,4,6}:{(57,1),(58,1),(62,1),(116,1),(118,1),(119,1),(129,1),(199,1),(301,1)}
        84:{2,3,4,7}:{(57,1),(63,1),(117,1),(119,1),(213,1),(317,1),(422,1)}
        85:{2,4,5}:{(58,1),(118,1),(121,1)}
        86:{1,3,4,5,7}:{(58,1),(59,1),(66,1),(119,1),(122,1),(123,1),(135,1),(202,1),(215,1),(247,1),(337,1),(340,1),(399,1),(405,1),(407,1),(422,1),(425,1),(496,1),(498,1),(532,1)}
        87:{2,3,4,6}:{(59,1),(67,1),(123,1),(124,1),(148,1),(218,1),(244,1),(328,1),(415,1),(495,1),(531,1)}
        88:{1,4,5,6}:{(60,1),(62,1),(116,1),(126,1),(137,1),(301,1),(476,1)}
        89:{2,4,5,7}:{(60,1),(61,1),(63,1),(117,1),(126,1),(127,1),(132,1),(209,1),(317,1),(416,1)}
        90:{1,3,4,6,7}:{(61,1),(127,1),(128,1),(210,1),(320,1),(321,1),(418,1)}
        91:{1,2,4,6}:{(62,1),(65,1),(69,1),(118,1),(129,1),(130,1)}
        92:{1,4,7}:{(62,1),(63,1),(70,1)}
        93:{2,4,6,7}:{(63,1),(64,1),(67,1),(71,1),(131,1),(132,1)}
        94:{1,3,5,7}:{(64,1),(68,1),(132,1),(133,1),(232,1)}
        95:{1,3,5}:{(65,1),(121,1),(129,1),(134,1)}
        96:{1,2,4,5,7}:{(65,1),(66,1),(74,1),(122,1),(130,1),(135,1),(136,1),(144,1),(230,1),(241,1),(337,1),(340,1),(532,1),(533,1),(534,1),(537,1)}
        97:{1,4,6}:{(66,1),(67,1),(75,1),(137,1)}
        98:{2,5,6}:{(67,1),(68,1),(132,1),(137,1)}
        99:{1,4,5,6}:{(68,1),(77,1),(133,1),(138,1),(343,1)}
       100:{1,2,3,5,6}:{(69,1),(73,1),(129,1),(139,1),(140,1),(145,1),(208,1),(227,1),(234,1),(241,1),(335,1),(344,1)}
       101:{1,2,5,7}:{(69,1),(70,1),(130,1),(141,1),(209,1)}
       102:{1,3,6,7}:{(70,1),(71,1),(75,1),(131,1),(141,1)}
       103:{2,3,5,6,7}:{(71,1),(72,1),(76,1),(132,1),(142,1),(143,1),(232,1),(319,1),(324,1),(339,1),(345,1),(418,1)}
       104:{1,4,6,7}:{(72,1),(77,1),(133,1),(143,1),(405,1)}
       105:{1,2,4}:{(73,1),(134,1)}
       106:{1,2,3,5,7}:{(73,1),(74,1),(78,1),(135,1),(144,1),(145,1),(241,1),(537,1),(538,1),(539,1)}
       107:{1,2,6}:{(74,1),(75,1)}
       108:{1,3,5,6}:{(75,1),(76,1),(80,1),(137,1),(146,1),(147,1),(243,1)}
       109:{2,4,6}:{(76,1),(77,1),(81,1),(147,1),(148,1)}
       110:{1,2,3,6,7}:{(78,1),(79,1),(145,1),(149,1),(229,1),(243,1),(345,1),(530,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(146,1),(241,1),(339,1)}
       112:{1,4,5,7}:{(80,1),(81,1),(147,1),(337,1),(340,1)}
       113:{3,4,5,7}:{(81,1),(148,1),(232,1),(422,1),(425,1)}
       114:{1,2,4,5}:{(85,1),(152,1),(153,1),(156,1),(256,1),(352,1)}
       115:{1,2,3,5}:{(153,1),(155,1),(156,1),(256,1)}
       116:{1,3,5,6}:{(82,1),(83,1),(88,1),(158,1),(159,1)}
       117:{2,3,5,7}:{(82,1),(84,1),(89,1),(159,1),(160,1),(376,1)}
       118:{2,4,6}:{(83,1),(85,1),(158,1),(161,1),(162,1)}
       119:{1,3,4,7}:{(83,1),(84,1),(92,1),(159,1),(162,1),(176,1),(251,1),(353,1)}
       120:{2,3,4,6,7}:{(84,1),(87,1),(93,1),(160,1),(163,1),(164,1),(190,1),(265,1),(268,1),(294,1),(369,1),(375,1),(459,1),(460,1),(464,1),(506,1)}
       121:{2,3,5}:{(85,1),(95,1),(153,1),(161,1),(165,1)}
       122:{2,4,5,7}:{(85,1),(86,1),(162,1),(166,1),(167,1),(269,1),(375,1),(378,1),(521,1),(522,1)}
       123:{1,3,4,6}:{(86,1),(87,1),(97,1),(167,1),(168,1),(181,1),(254,1),(288,1),(298,1),(361,1),(379,1),(441,1),(545,1)}
       124:{2,3,5,6}:{(87,1),(98,1),(164,1),(168,1),(169,1),(184,1),(290,1),(457,1),(519,1),(543,1)}
       125:{1,2,4,5,6}:{(88,1),(91,1),(158,1),(170,1),(171,1),(182,1),(185,1),(261,1),(274,1),(288,1),(291,1),(457,1),(469,1)}
       126:{1,4,5,7}:{(88,1),(89,1),(92,1),(159,1),(172,1),(178,1),(353,1),(442,1)}
       127:{2,4,6,7}:{(89,1),(90,1),(160,1),(172,1),(173,1),(263,1)}
       128:{1,3,5,6,7}:{(90,1),(94,1),(173,1),(174,1),(281,1),(383,1)}
       129:{1,3,6}:{(91,1),(95,1),(161,1),(176,1)}
       130:{1,2,4,7}:{(91,1),(92,1),(101,1),(162,1),(176,1)}
       131:{1,4,6,7}:{(92,1),(93,1),(97,1),(102,1),(178,1)}
       132:{2,5,7}:{(93,1),(94,1),(98,1),(178,1)}
       133:{1,4,5,7}:{(94,1),(99,1),(104,1),(179,1),(390,1)}
       134:{1,3,4}:{(95,1),(105,1),(165,1)}
       135:{1,3,5,7}:{(95,1),(96,1),(166,1),(176,1),(180,1),(181,1),(287,1),(546,1),(547,1)}
       136:{1,2,4,6}:{(96,1),(97,1),(107,1),(167,1),(181,1),(182,1),(288,1),(545,1),(548,1)}
       137:{1,5,6}:{(97,1),(98,1),(178,1)}
       138:{2,4,5,6}:{(98,1),(99,1),(109,1),(179,1),(183,1),(184,1),(290,1)}
       139:{1,2,4,6}:{(100,1),(105,1),(175,1),(185,1),(186,1),(261,1),(288,1)}
       140:{1,2,3,5,7}:{(100,1),(101,1),(176,1),(186,1),(187,1),(262,1),(282,1),(284,1),(292,1)}
       141:{1,2,6,7}:{(101,1),(102,1),(107,1),(263,1)}
       142:{1,3,5,6,7}:{(102,1),(103,1),(108,1),(178,1),(188,1),(189,1),(284,1),(286,1),(293,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(109,1),(179,1),(189,1),(190,1),(375,1)}
       144:{1,2,4,7}:{(105,1),(106,1),(180,1),(191,1),(549,1)}
       145:{1,2,3,6}:{(106,1),(107,1),(181,1),(191,1),(548,1)}
       146:{1,2,5,6}:{(107,1),(108,1),(111,1),(193,1),(290,1)}
       147:{1,4,6}:{(108,1),(109,1),(112,1)}
       148:{3,4,6}:{(109,1),(113,1),(184,1)}
       149:{1,2,3,5,7}:{(110,1),(111,1),(192,1),(195,1),(196,1),(284,1),(389,1),(511,1),(546,1)}
       150:{1,2,4,5,7}:{(111,1),(112,1),(193,1),(195,1),(196,1),(197,1),(295,1)}
       151:{1,3,4,5,7}:{(112,1),(113,1),(194,1),(196,1),(197,1),(286,1),(388,1),(391,1)}
       152:{1,2,4,6}:{(114,1),(118,1),(198,1),(199,1),(200,1),(301,1)}
       153:{1,3,5}:{(114,1),(121,1),(199,1),(201,1)}
       154:{1,2,4,5,7}:{(114,1),(122,1),(200,1),(202,1),(203,1),(206,1),(247,1),(307,1),(311,1),(314,1),(351,1),(399,1),(405,1),(407,1),(500,1),(501,1)}
       155:{1,2,3,6}:{(115,1),(199,1),(204,1),(205,1)}
       156:{1,2,4}:{(115,1),(201,1)}
       157:{1,2,3,5,7}:{(115,1),(202,1),(205,1),(206,1),(207,1),(311,1),(314,1),(351,1),(440,1),(503,1)}
       158:{2,5,6}:{(116,1),(118,1),(209,1)}
       159:{1,3,5,7}:{(116,1),(117,1),(119,1),(126,1),(209,1),(210,1)}
       160:{2,3,6,7}:{(117,1),(127,1),(210,1),(418,1)}
       161:{2,3,6}:{(118,1),(121,1),(129,1),(199,1),(213,1)}
       162:{2,4,7}:{(118,1),(119,1),(209,1),(213,1)}
       163:{1,3,4,6,7}:{(119,1),(120,1),(123,1),(131,1),(210,1),(214,1),(215,1),(229,1),(306,1),(320,1),(337,1),(346,1),(400,1),(405,1),(418,1),(422,1),(494,1),(496,1),(529,1)}
       164:{2,3,5,7}:{(120,1),(124,1),(132,1),(215,1),(216,1),(232,1),(339,1),(416,1),(493,1),(528,1)}
       165:{2,3,4}:{(121,1),(134,1),(201,1)}
       166:{2,3,5,7}:{(121,1),(122,1),(135,1),(202,1),(213,1),(217,1),(218,1),(327,1),(540,1),(541,1)}
       167:{2,4,6}:{(122,1),(123,1),(218,1),(219,1)}
       168:{1,3,5,6}:{(123,1),(124,1),(137,1),(215,1),(219,1),(220,1),(329,1),(343,1),(476,1),(551,1)}
       169:{2,4,5,6}:{(124,1),(216,1),(220,1),(221,1),(328,1)}
       170:{1,3,5,6}:{(125,1),(129,1),(208,1),(222,1),(223,1),(227,1),(329,1),(335,1)}
       171:{1,2,4,5,7}:{(125,1),(126,1),(130,1),(209,1),(223,1),(224,1),(230,1),(317,1),(325,1),(337,1),(416,1),(429,1)}
       172:{1,4,6,7}:{(126,1),(127,1),(210,1),(225,1)}
       173:{2,5,6,7}:{(127,1),(128,1),(132,1),(225,1),(416,1)}
       174:{1,4,5,6,7}:{(128,1),(133,1),(226,1),(320,1),(429,1),(430,1)}
       175:{1,3,4,6}:{(129,1),(134,1),(139,1),(212,1),(227,1),(228,1),(335,1)}
       176:{1,3,7}:{(129,1),(130,1),(213,1)}
       177:{1,2,4,6,7}:{(130,1),(131,1),(136,1),(141,1),(214,1),(229,1),(230,1),(337,1),(529,1),(530,1),(533,1)}
       178:{1,5,7}:{(131,1),(132,1),(137,1)}
       179:{2,4,5,7}:{(132,1),(133,1),(138,1),(143,1),(231,1),(232,1),(339,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(144,1),(217,1),(233,1),(337,1),(552,1)}
       181:{1,3,6}:{(135,1),(136,1),(218,1)}
       182:{1,2,5,6}:{(136,1),(137,1),(219,1),(230,1),(234,1),(241,1),(551,1)}
       183:{1,4,5,6}:{(137,1),(138,1),(147,1),(231,1),(236,1)}
       184:{3,5,6}:{(138,1),(148,1),(232,1)}
       185:{1,2,4,5}:{(139,1),(227,1),(241,1),(316,1),(340,1)}
       186:{1,2,4,7}:{(139,1),(140,1),(228,1),(317,1),(337,1)}
       187:{1,2,3,6,7}:{(140,1),(141,1),(145,1),(229,1),(238,1),(318,1),(335,1),(538,1)}
       188:{1,2,5,6,7}:{(141,1),(142,1),(146,1),(230,1),(239,1),(319,1),(339,1),(430,1)}
       189:{1,4,6,7}:{(142,1),(143,1),(147,1),(231,1),(337,1)}
       190:{3,4,6,7}:{(143,1),(148,1),(232,1),(418,1),(422,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(233,1),(241,1)}
       192:{1,2,3,5,6}:{(145,1),(146,1),(149,1),(234,1),(241,1),(242,1),(243,1),(342,1),(347,1),(486,1),(535,1),(539,1)}
       193:{1,2,4,6}:{(146,1),(147,1),(150,1),(243,1),(244,1)}
       194:{1,3,4,6}:{(147,1),(148,1),(151,1),(236,1),(243,1),(244,1)}
       195:{1,2,4,7}:{(149,1),(242,1),(245,1),(337,1),(432,1)}
       196:{1,3,5,7}:{(150,1),(243,1),(245,1),(246,1),(347,1)}
       197:{2,4,5,7}:{(151,1),(244,1),(246,1),(247,1),(339,1),(432,1),(434,1)}
       198:{1,2,5,6}:{(152,1),(158,1),(248,1),(249,1),(256,1),(363,1)}
       199:{1,3,6}:{(152,1),(153,1),(161,1),(251,1)}
       200:{1,2,4,7}:{(152,1),(162,1),(249,1),(251,1),(353,1)}
       201:{1,3,4}:{(153,1),(156,1),(165,1)}
       202:{1,3,5,7}:{(153,1),(154,1),(166,1),(251,1),(253,1),(254,1),(360,1),(524,1),(525,1)}
       203:{1,2,4,6}:{(154,1),(167,1),(254,1),(255,1),(298,1),(361,1),(363,1),(397,1),(441,1)}
       204:{1,2,4,6}:{(155,1),(156,1),(250,1),(256,1),(257,1),(363,1)}
       205:{1,2,3,7}:{(155,1),(251,1),(257,1)}
       206:{1,2,4,7}:{(156,1),(157,1),(253,1),(259,1),(526,1)}
       207:{1,2,3,6}:{(157,1),(254,1),(259,1),(363,1),(397,1)}
       208:{2,3,5,6}:{(158,1),(161,1),(170,1),(248,1),(261,1),(262,1),(266,1),(373,1),(457,1)}
       209:{2,5,7}:{(158,1),(159,1),(162,1),(263,1)}
       210:{1,3,6,7}:{(159,1),(160,1),(172,1),(263,1)}
       211:{2,3,5,6,7}:{(160,1),(164,1),(173,1),(264,1),(265,1),(281,1),(385,1),(460,1)}
       212:{2,3,4,6}:{(161,1),(165,1),(175,1),(250,1),(261,1),(266,1),(267,1),(373,1)}
       213:{2,3,7}:{(161,1),(162,1),(176,1),(251,1)}
       214:{2,4,6,7}:{(162,1),(163,1),(167,1),(263,1),(268,1),(269,1),(375,1),(520,1),(521,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(168,1),(178,1),(269,1),(270,1),(376,1),(390,1),(442,1),(544,1)}
       216:{2,4,5,7}:{(164,1),(169,1),(265,1),(270,1),(271,1),(375,1)}
       217:{2,3,4,7}:{(165,1),(166,1),(180,1),(253,1),(272,1),(375,1),(550,1)}
       218:{2,3,6}:{(166,1),(167,1),(181,1),(254,1)}
       219:{2,5,6}:{(167,1),(168,1),(269,1)}
       220:{1,4,5,6}:{(168,1),(169,1),(270,1),(274,1),(288,1),(361,1)}
       221:{3,4,5,6}:{(169,1),(184,1),(271,1),(379,1),(519,1)}
       222:{1,3,4,6}:{(170,1),(261,1),(276,1),(277,1),(288,1),(379,1)}
       223:{1,3,5,7}:{(170,1),(171,1),(176,1),(262,1),(277,1),(278,1),(376,1)}
       224:{1,2,4,6,7}:{(171,1),(172,1),(263,1),(278,1),(279,1),(291,1),(369,1),(371,1),(384,1)}
       225:{1,5,6,7}:{(172,1),(173,1),(178,1),(442,1)}
       226:{2,4,5,6,7}:{(173,1),(174,1),(179,1),(265,1),(280,1),(281,1),(371,1),(385,1),(458,1)}
       227:{1,3,5}:{(175,1),(185,1),(266,1)}
       228:{1,3,4,7}:{(175,1),(176,1),(186,1),(267,1),(282,1)}
       229:{1,3,6,7}:{(176,1),(177,1),(181,1),(268,1),(284,1),(546,1)}
       230:{1,2,5,7}:{(177,1),(178,1),(182,1),(269,1),(284,1),(544,1)}
       231:{1,4,5,7}:{(178,1),(179,1),(183,1),(189,1),(286,1)}
       232:{3,5,7}:{(179,1),(184,1),(190,1)}
       233:{1,3,4,6}:{(180,1),(181,1),(191,1),(272,1),(287,1),(288,1)}
       234:{1,3,5,6}:{(181,1),(182,1),(273,1),(284,1),(287,1),(288,1)}
       235:{1,2,4,5,6}:{(182,1),(183,1),(193,1),(274,1),(285,1),(288,1),(289,1),(290,1),(295,1),(381,1),(392,1),(468,1),(513,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(194,1),(286,1),(290,1)}
       237:{1,2,4,5,7}:{(185,1),(186,1),(282,1),(291,1),(292,1),(368,1),(387,1)}
       238:{1,2,4,6,7}:{(186,1),(187,1),(191,1),(283,1),(291,1),(292,1),(369,1),(516,1),(548,1)}
       239:{1,2,4,6,7}:{(188,1),(189,1),(193,1),(285,1),(293,1),(294,1),(371,1),(461,1),(520,1)}
       240:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(286,1),(293,1),(294,1),(388,1)}
       241:{1,2,5}:{(191,1),(287,1)}
       242:{1,2,4,6}:{(192,1),(195,1),(288,1),(295,1),(296,1),(392,1),(549,1)}
       243:{1,3,6}:{(193,1),(196,1),(297,1)}
       244:{2,4,6}:{(194,1),(197,1),(290,1),(297,1),(298,1)}
       245:{1,3,4,7}:{(195,1),(196,1),(296,1),(299,1),(546,1)}
       246:{2,3,5,7}:{(196,1),(197,1),(297,1),(299,1),(300,1),(395,1)}
       247:{1,4,5,7}:{(197,1),(298,1),(300,1),(390,1),(470,1),(472,1)}
       248:{1,3,5,6}:{(198,1),(199,1),(208,1),(301,1),(302,1),(304,1),(403,1),(476,1)}
       249:{1,2,5,7}:{(198,1),(200,1),(209,1),(302,1),(303,1)}
       250:{1,3,4,6}:{(199,1),(201,1),(204,1),(212,1),(301,1),(304,1),(305,1),(403,1)}
       251:{1,3,7}:{(199,1),(200,1),(213,1)}
       252:{1,2,4,6,7}:{(200,1),(203,1),(214,1),(303,1),(306,1),(307,1),(346,1),(400,1),(405,1),(437,1),(500,1)}
       253:{1,3,4,7}:{(201,1),(202,1),(206,1),(217,1),(308,1),(405,1),(542,1)}
       254:{1,3,6}:{(202,1),(203,1),(218,1)}
       255:{1,2,5,6}:{(203,1),(219,1),(307,1),(309,1),(314,1),(343,1),(476,1)}
       256:{1,2,5}:{(204,1),(304,1)}
       257:{1,2,4,7}:{(204,1),(205,1),(305,1),(311,1)}
       258:{1,2,3,6,7}:{(205,1),(207,1),(306,1),(312,1),(313,1),(437,1),(479,1),(487,1)}
       259:{1,2,4,6}:{(206,1),(207,1),(308,1),(314,1)}
       260:{1,2,3,5,6}:{(207,1),(309,1),(313,1),(314,1),(315,1),(409,1),(410,1),(413,1),(436,1),(487,1),(502,1),(503,1)}
       261:{2,4,6}:{(208,1),(222,1),(301,1),(316,1),(317,1)}
       262:{2,3,5,7}:{(208,1),(209,1),(213,1),(223,1),(302,1),(317,1),(318,1),(416,1)}
       263:{2,6,7}:{(209,1),(210,1)}
       264:{1,3,5,6,7}:{(210,1),(211,1),(215,1),(225,1),(319,1),(320,1),(418,1),(430,1),(494,1)}
       265:{2,4,6,7}:{(211,1),(216,1),(320,1),(321,1)}
       266:{2,3,5}:{(212,1),(227,1),(304,1),(316,1)}
       267:{2,3,4,7}:{(212,1),(213,1),(228,1),(305,1),(317,1),(322,1)}
       268:{2,3,6,7}:{(213,1),(214,1),(218,1),(229,1),(306,1),(324,1),(418,1),(540,1)}
       269:{2,5,7}:{(214,1),(215,1),(219,1)}
       270:{1,4,5,7}:{(215,1),(216,1),(220,1),(320,1),(325,1),(337,1),(405,1)}
       271:{3,4,5,7}:{(216,1),(221,1),(232,1),(321,1),(422,1),(493,1)}
       272:{2,3,4,6}:{(217,1),(218,1),(233,1),(308,1),(327,1),(328,1)}
       273:{2,3,5,6}:{(218,1),(219,1),(234,1),(309,1),(324,1),(327,1),(328,1),(329,1)}
       274:{2,4,5,6}:{(219,1),(220,1),(325,1),(328,1),(329,1)}
       275:{1,3,4,5,6}:{(220,1),(221,1),(236,1),(326,1),(329,1),(330,1),(341,1),(408,1),(427,1),(527,1)}
       276:{1,3,4,5}:{(222,1),(227,1),(316,1),(340,1),(425,1)}
       277:{1,3,4,7}:{(222,1),(223,1),(317,1),(337,1),(422,1)}
       278:{1,3,6,7}:{(223,1),(224,1),(318,1),(335,1),(418,1)}
       279:{1,2,5,6,7}:{(224,1),(225,1),(230,1),(319,1),(333,1),(344,1),(416,1),(530,1)}
       280:{1,4,5,6,7}:{(225,1),(226,1),(231,1),(320,1),(334,1),(477,1)}
       281:{3,5,6,7}:{(226,1),(232,1),(321,1),(418,1),(493,1)}
       282:{1,3,5,7}:{(227,1),(228,1),(237,1),(322,1),(335,1)}
       283:{1,3,4,6,7}:{(228,1),(229,1),(233,1),(238,1),(323,1),(335,1),(336,1),(337,1),(431,1),(489,1),(529,1),(536,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(234,1),(324,1),(337,1)}
       285:{1,2,4,5,7}:{(230,1),(231,1),(235,1),(239,1),(325,1),(337,1),(338,1),(339,1),(424,1),(432,1),(497,1),(533,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(240,1),(339,1)}
       287:{1,3,5}:{(233,1),(241,1),(327,1),(340,1)}
       288:{1,4,6}:{(234,1),(328,1),(337,1),(340,1)}
       289:{1,3,5,6}:{(235,1),(243,1),(329,1),(338,1),(341,1),(342,1),(347,1),(535,1)}
       290:{2,5,6}:{(236,1),(244,1),(339,1),(343,1)}
       291:{1,2,4,6}:{(237,1),(335,1),(344,1),(415,1),(431,1)}
       292:{1,2,5,7}:{(238,1),(241,1),(336,1),(344,1),(416,1)}
       293:{1,3,6,7}:{(239,1),(243,1),(338,1),(345,1),(418,1)}
       294:{2,4,6,7}:{(240,1),(244,1),(339,1),(345,1),(346,1),(432,1)}
       295:{1,2,4,5}:{(241,1),(242,1),(340,1),(347,1),(434,1)}
       296:{1,3,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1),(535,1),(552,1)}
       297:{2,3,6}:{(243,1),(244,1),(246,1),(349,1)}
       298:{1,4,6}:{(244,1),(247,1),(343,1),(349,1)}
       299:{2,3,4,7}:{(245,1),(246,1),(348,1),(350,1),(432,1),(540,1)}
       300:{1,3,5,7}:{(246,1),(247,1),(349,1),(350,1),(351,1),(438,1)}
       301:{1,4,6}:{(248,1),(261,1),(352,1),(353,1)}
       302:{1,3,5,7}:{(248,1),(249,1),(251,1),(262,1),(353,1),(354,1),(442,1)}
       303:{1,2,6,7}:{(249,1),(263,1),(354,1),(363,1)}
       304:{1,3,5}:{(250,1),(256,1),(266,1),(352,1)}
       305:{1,3,4,7}:{(250,1),(251,1),(257,1),(267,1),(353,1),(356,1)}
       306:{1,3,6,7}:{(251,1),(252,1),(254,1),(268,1),(358,1),(524,1)}
       307:{1,2,5,7}:{(252,1),(255,1),(269,1),(358,1),(390,1),(442,1)}
       308:{1,3,4,6}:{(253,1),(254,1),(259,1),(272,1),(360,1),(361,1)}
       309:{1,3,5,6}:{(254,1),(255,1),(273,1),(358,1),(360,1),(361,1)}
       310:{1,2,4,5,6}:{(255,1),(274,1),(359,1),(361,1),(362,1),(366,1),(381,1),(450,1),(452,1),(468,1),(473,1),(504,1),(543,1)}
       311:{1,2,5,7}:{(256,1),(257,1),(356,1),(363,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(259,1),(357,1),(363,1),(364,1),(365,1),(452,1),(506,1)}
       313:{1,2,3,5,7}:{(258,1),(260,1),(358,1),(364,1),(365,1),(448,1),(453,1),(471,1),(524,1)}
       314:{1,2,5}:{(259,1),(360,1)}
       315:{1,2,4,6}:{(260,1),(361,1),(365,1),(366,1),(367,1),(450,1),(526,1)}
       316:{2,4,5}:{(261,1),(266,1),(276,1),(352,1)}
       317:{2,4,7}:{(261,1),(262,1),(277,1),(353,1)}
       318:{2,3,6,7}:{(262,1),(263,1),(278,1),(354,1),(369,1),(373,1)}
       319:{2,5,6,7}:{(263,1),(264,1),(269,1),(371,1),(520,1)}
       320:{1,4,6,7}:{(264,1),(265,1),(270,1),(371,1)}
       321:{3,4,6,7}:{(265,1),(271,1),(281,1)}
       322:{2,3,5,7}:{(266,1),(267,1),(282,1),(356,1),(368,1),(373,1)}
       323:{2,3,4,6,7}:{(267,1),(268,1),(272,1),(283,1),(357,1),(369,1),(373,1),(374,1),(375,1),(454,1),(459,1),(462,1),(506,1),(514,1)}
       324:{2,3,5,7}:{(268,1),(269,1),(273,1),(284,1),(358,1),(375,1),(376,1)}
       325:{2,4,5,7}:{(269,1),(270,1),(274,1),(371,1),(375,1),(376,1)}
       326:{1,3,4,5,7}:{(270,1),(271,1),(275,1),(286,1),(372,1),(376,1),(377,1),(388,1),(447,1),(465,1),(505,1)}
       327:{2,3,5}:{(272,1),(287,1),(360,1),(378,1)}
       328:{2,4,6}:{(273,1),(288,1),(361,1),(375,1),(378,1),(379,1)}
       329:{3,5,6}:{(274,1),(376,1),(379,1)}
       330:{2,4,5,6}:{(275,1),(290,1),(377,1),(380,1),(381,1),(392,1),(450,1),(468,1),(543,1)}
       331:{1,3,4,5,7}:{(276,1),(277,1),(282,1),(368,1),(382,1),(383,1),(387,1),(463,1)}
       332:{1,3,4,6,7}:{(277,1),(278,1),(369,1),(382,1),(383,1),(384,1),(459,1)}
       333:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(370,1),(383,1),(384,1),(386,1),(507,1),(544,1)}
       334:{1,3,5,6,7}:{(280,1),(281,1),(286,1),(372,1),(385,1),(505,1)}
       335:{1,3,6}:{(282,1),(291,1),(373,1)}
       336:{1,3,5,7}:{(283,1),(287,1),(292,1),(374,1),(386,1),(387,1),(544,1)}
       337:{1,4,7}:{(284,1),(288,1),(375,1)}
       338:{1,3,5,7}:{(285,1),(289,1),(293,1),(376,1),(388,1),(389,1),(546,1)}
       339:{2,5,7}:{(286,1),(290,1),(294,1),(390,1)}
       340:{1,4,5}:{(287,1),(288,1),(378,1)}
       341:{1,3,4,6}:{(288,1),(289,1),(379,1),(388,1),(391,1),(392,1)}
       342:{2,3,5,6}:{(289,1),(290,1),(297,1),(389,1),(392,1),(393,1),(395,1),(468,1),(523,1)}
       343:{1,5,6}:{(290,1),(298,1),(390,1)}
       344:{1,2,5,6}:{(291,1),(292,1),(386,1),(457,1),(548,1)}
       345:{2,3,6,7}:{(293,1),(294,1),(297,1),(389,1),(394,1),(520,1)}
       346:{1,4,6,7}:{(294,1),(298,1),(390,1),(394,1),(470,1)}
       347:{1,3,5}:{(295,1),(296,1),(395,1)}
       348:{2,3,4,6}:{(296,1),(297,1),(299,1),(392,1),(395,1),(396,1),(523,1),(550,1)}
       349:{1,3,6}:{(297,1),(298,1),(300,1),(397,1)}
       350:{1,3,4,7}:{(299,1),(300,1),(396,1),(398,1),(470,1),(524,1)}
       351:{1,2,5,7}:{(300,1),(397,1),(398,1),(474,1)}
       352:{1,4,5}:{(301,1),(304,1),(316,1)}
       353:{1,4,7}:{(301,1),(302,1),(317,1)}
       354:{1,3,6,7}:{(302,1),(303,1),(318,1),(400,1),(403,1)}
       355:{1,2,5,6,7}:{(303,1),(307,1),(319,1),(401,1),(402,1),(410,1),(430,1),(528,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(311,1),(322,1),(399,1),(403,1)}
       357:{1,3,4,6,7}:{(305,1),(306,1),(308,1),(312,1),(323,1),(400,1),(403,1),(404,1),(405,1),(412,1),(480,1),(487,1)}
       358:{1,3,5,7}:{(306,1),(307,1),(309,1),(324,1),(405,1)}
       359:{1,2,4,5,7}:{(307,1),(310,1),(325,1),(402,1),(405,1),(406,1),(424,1),(477,1),(482,1),(497,1),(500,1),(528,1)}
       360:{1,3,5}:{(308,1),(314,1),(327,1),(407,1)}
       361:{1,4,6}:{(309,1),(328,1),(405,1),(407,1)}
       362:{1,3,5,6}:{(310,1),(329,1),(406,1),(408,1),(409,1),(413,1),(487,1),(502,1)}
       363:{1,2,6}:{(311,1),(403,1)}
       364:{1,2,5,7}:{(312,1),(314,1),(404,1),(410,1),(528,1)}
       365:{1,2,4,7}:{(313,1),(315,1),(405,1),(412,1),(482,1)}
       366:{1,2,4,5}:{(314,1),(315,1),(407,1),(413,1),(484,1)}
       367:{1,3,4,6}:{(315,1),(412,1),(413,1),(414,1),(487,1),(502,1),(542,1)}
       368:{2,4,5,7}:{(316,1),(317,1),(322,1),(331,1),(399,1),(415,1),(416,1)}
       369:{2,4,6,7}:{(317,1),(318,1),(332,1),(400,1),(415,1),(416,1)}
       370:{2,3,5,6,7}:{(318,1),(319,1),(324,1),(333,1),(401,1),(416,1),(417,1),(418,1),(420,1),(479,1),(493,1),(528,1)}
       371:{2,4,6,7}:{(319,1),(320,1),(325,1),(418,1)}
       372:{1,3,4,6,7}:{(320,1),(321,1),(326,1),(334,1),(418,1),(419,1),(494,1)}
       373:{2,3,6}:{(322,1),(335,1),(403,1),(415,1)}
       374:{2,3,5,7}:{(323,1),(327,1),(336,1),(404,1),(416,1),(420,1),(421,1),(493,1),(528,1)}
       375:{2,4,7}:{(324,1),(328,1),(337,1),(405,1),(422,1)}
       376:{3,5,7}:{(325,1),(329,1),(418,1),(422,1)}
       377:{2,4,5,7}:{(326,1),(330,1),(339,1),(419,1),(423,1),(424,1),(432,1),(482,1),(497,1),(528,1)}
       378:{2,4,5}:{(327,1),(328,1),(340,1),(407,1),(425,1)}
       379:{3,4,6}:{(328,1),(329,1),(422,1),(425,1)}
       380:{2,3,5,6}:{(329,1),(330,1),(423,1),(426,1),(427,1)}
       381:{1,4,5,6}:{(330,1),(343,1),(424,1),(427,1),(435,1),(485,1),(551,1)}
       382:{1,3,4,6}:{(331,1),(335,1),(415,1),(428,1),(431,1),(495,1)}
       383:{1,3,5,7}:{(332,1),(416,1),(428,1),(429,1),(493,1)}
       384:{1,4,6,7}:{(333,1),(337,1),(417,1),(429,1),(431,1)}
       385:{2,5,6,7}:{(334,1),(339,1),(419,1),(430,1),(528,1)}
       386:{1,3,5,6}:{(335,1),(336,1),(344,1),(420,1),(431,1),(536,1),(551,1)}
       387:{1,4,5,7}:{(336,1),(337,1),(340,1),(421,1),(431,1)}
       388:{1,3,4,7}:{(337,1),(338,1),(341,1),(422,1),(432,1)}
       389:{2,3,5,7}:{(338,1),(339,1),(342,1),(345,1),(432,1),(433,1),(497,1),(540,1)}
       390:{1,5,7}:{(339,1),(343,1),(346,1)}
       391:{1,3,4,5}:{(340,1),(341,1),(347,1),(425,1),(434,1)}
       392:{2,4,6}:{(341,1),(342,1),(432,1),(434,1),(435,1)}
       393:{1,3,5,6}:{(342,1),(343,1),(349,1),(433,1),(435,1),(436,1),(438,1),(502,1)}
       394:{1,3,6,7}:{(345,1),(346,1),(349,1),(433,1),(437,1)}
       395:{2,3,5}:{(347,1),(348,1),(434,1),(438,1)}
       396:{1,3,4,6}:{(348,1),(349,1),(350,1),(435,1),(438,1),(439,1),(502,1),(542,1)}
       397:{1,2,6}:{(349,1),(351,1)}
       398:{1,2,4,7}:{(350,1),(351,1),(439,1),(440,1)}
       399:{1,4,5,7}:{(352,1),(353,1),(356,1),(368,1),(441,1),(442,1)}
       400:{1,4,6,7}:{(353,1),(354,1),(369,1),(441,1),(442,1)}
       401:{1,3,5,6,7}:{(354,1),(355,1),(358,1),(370,1),(442,1),(443,1),(444,1),(445,1),(505,1)}
       402:{1,2,4,6,7}:{(355,1),(359,1),(371,1),(443,1),(444,1),(452,1),(461,1),(506,1),(520,1)}
       403:{1,3,6}:{(356,1),(363,1),(373,1),(441,1)}
       404:{1,3,5,7}:{(357,1),(360,1),(364,1),(374,1),(442,1),(445,1),(446,1)}
       405:{1,4,7}:{(358,1),(361,1),(375,1)}
       406:{1,3,5,7}:{(359,1),(362,1),(376,1),(444,1),(447,1),(448,1),(524,1)}
       407:{1,4,5}:{(360,1),(361,1),(378,1)}
       408:{1,3,4,6}:{(361,1),(362,1),(379,1),(447,1),(449,1),(450,1)}
       409:{2,3,5,6}:{(362,1),(448,1),(450,1),(451,1),(455,1),(468,1),(514,1),(523,1),(543,1)}
       410:{1,2,5,6}:{(363,1),(364,1),(445,1),(452,1),(543,1)}
       411:{1,2,4,5,7}:{(364,1),(365,1),(366,1),(446,1),(452,1),(453,1),(509,1)}
       412:{1,3,4,7}:{(365,1),(367,1),(453,1),(454,1),(524,1)}
       413:{1,3,5}:{(366,1),(367,1),(455,1)}
       414:{2,3,4,6}:{(367,1),(450,1),(454,1),(455,1),(456,1),(514,1),(523,1),(550,1)}
       415:{2,4,6}:{(368,1),(373,1),(382,1),(441,1),(457,1)}
       416:{2,5,7}:{(369,1),(383,1),(442,1),(457,1)}
       417:{2,4,6,7}:{(370,1),(375,1),(384,1),(443,1),(458,1),(459,1),(462,1)}
       418:{3,6,7}:{(371,1),(376,1)}
       419:{2,4,6,7}:{(372,1),(377,1),(385,1),(460,1),(461,1),(520,1)}
       420:{2,3,5,6}:{(373,1),(374,1),(386,1),(445,1),(457,1),(462,1),(514,1),(519,1),(543,1)}
       421:{2,4,5,7}:{(374,1),(375,1),(378,1),(387,1),(446,1),(462,1),(463,1)}
       422:{3,4,7}:{(375,1),(376,1),(379,1)}
       423:{2,3,5,7}:{(376,1),(377,1),(380,1),(460,1),(464,1),(465,1)}
       424:{1,4,5,7}:{(377,1),(381,1),(390,1),(461,1),(465,1),(470,1),(510,1),(544,1)}
       425:{3,4,5}:{(378,1),(379,1)}
       426:{2,3,4,6}:{(379,1),(380,1),(392,1),(450,1),(464,1),(466,1),(467,1),(523,1)}
       427:{1,3,5,6}:{(380,1),(381,1),(465,1),(467,1),(468,1)}
       428:{1,3,5,6}:{(382,1),(383,1),(457,1),(469,1),(519,1)}
       429:{1,4,5,7}:{(383,1),(384,1),(458,1),(469,1),(544,1)}
       430:{1,5,6,7}:{(385,1),(390,1),(461,1),(544,1)}
       431:{1,4,6}:{(386,1),(387,1),(462,1)}
       432:{2,4,7}:{(388,1),(389,1),(392,1),(470,1)}
       433:{1,3,5,7}:{(389,1),(390,1),(393,1),(394,1),(470,1),(471,1),(524,1)}
       434:{2,4,5}:{(391,1),(392,1),(395,1),(472,1)}
       435:{1,4,6}:{(392,1),(393,1),(470,1),(472,1)}
       436:{1,2,5,6}:{(393,1),(397,1),(468,1),(471,1),(473,1),(474,1)}
       437:{1,2,6,7}:{(394,1),(397,1),(471,1),(520,1)}
       438:{1,3,5}:{(395,1),(396,1),(472,1),(474,1)}
       439:{1,2,4,6}:{(396,1),(397,1),(398,1),(474,1),(475,1),(526,1)}
       440:{1,2,3,7}:{(398,1),(475,1),(524,1)}
       441:{1,4,6}:{(399,1),(403,1),(415,1),(476,1)}
       442:{1,5,7}:{(400,1),(416,1),(476,1)}
       443:{1,4,6,7}:{(401,1),(405,1),(417,1),(477,1),(480,1)}
       444:{1,3,6,7}:{(402,1),(406,1),(418,1),(479,1),(487,1)}
       445:{1,3,5,6}:{(403,1),(404,1),(410,1),(420,1),(476,1),(480,1),(487,1)}
       446:{1,4,5,7}:{(404,1),(405,1),(407,1),(421,1),(480,1)}
       447:{1,3,4,7}:{(405,1),(406,1),(408,1),(422,1),(482,1)}
       448:{2,3,5,7}:{(406,1),(409,1),(479,1),(482,1),(483,1),(497,1),(528,1),(540,1)}
       449:{1,3,4,5}:{(407,1),(408,1),(413,1),(425,1),(484,1)}
       450:{2,4,6}:{(408,1),(409,1),(482,1),(484,1),(485,1)}
       451:{1,3,5,6}:{(409,1),(483,1),(485,1),(486,1),(490,1),(535,1),(536,1),(551,1)}
       452:{1,2,4,6}:{(410,1),(411,1),(480,1),(487,1),(531,1)}
       453:{1,3,5,7}:{(411,1),(412,1),(413,1),(487,1),(488,1)}
       454:{2,3,4,7}:{(412,1),(414,1),(482,1),(488,1),(489,1),(540,1)}
       455:{2,3,5}:{(413,1),(414,1),(484,1),(490,1)}
       456:{1,3,4,6}:{(414,1),(485,1),(489,1),(490,1),(491,1),(535,1),(536,1),(552,1)}
       457:{2,5,6}:{(415,1),(416,1),(428,1),(476,1)}
       458:{2,4,5,7}:{(416,1),(417,1),(429,1),(477,1),(492,1),(493,1),(528,1)}
       459:{3,4,6,7}:{(417,1),(418,1),(422,1),(493,1),(495,1)}
       460:{2,3,6,7}:{(418,1),(419,1),(423,1),(494,1)}
       461:{1,4,6,7}:{(419,1),(424,1),(430,1),(494,1)}
       462:{2,4,6}:{(420,1),(421,1),(431,1),(480,1),(495,1)}
       463:{3,4,5,7}:{(421,1),(422,1),(425,1),(493,1),(495,1)}
       464:{2,3,4,7}:{(422,1),(423,1),(426,1),(432,1),(482,1),(496,1),(540,1)}
       465:{1,3,5,7}:{(423,1),(424,1),(427,1),(494,1),(496,1),(497,1)}
       466:{2,3,4,5}:{(425,1),(426,1),(434,1),(484,1),(498,1),(541,1)}
       467:{1,3,4,6}:{(426,1),(427,1),(435,1),(485,1),(496,1),(498,1),(499,1),(502,1),(535,1)}
       468:{2,5,6}:{(427,1),(497,1),(499,1)}
       469:{1,4,5,6}:{(428,1),(429,1),(431,1),(492,1),(551,1)}
       470:{1,4,7}:{(432,1),(433,1),(435,1)}
       471:{1,2,5,7}:{(433,1),(436,1),(437,1),(497,1),(500,1)}
       472:{1,4,5}:{(434,1),(435,1),(438,1)}
       473:{1,2,4,6}:{(435,1),(436,1),(499,1),(500,1),(501,1),(502,1)}
       474:{1,2,5}:{(438,1),(439,1)}
       475:{1,2,3,6}:{(439,1),(440,1),(502,1),(503,1)}
       476:{1,5,6}:{(441,1),(442,1),(457,1)}
       477:{1,4,5,7}:{(442,1),(443,1),(458,1),(504,1),(505,1)}
       478:{1,3,4,6,7}:{(443,1),(444,1),(447,1),(459,1),(505,1),(506,1),(508,1)}
       479:{2,3,6,7}:{(444,1),(448,1),(506,1),(507,1),(514,1),(520,1)}
       480:{1,4,6}:{(445,1),(446,1),(462,1)}
       481:{1,3,4,5,7}:{(446,1),(447,1),(449,1),(453,1),(463,1),(505,1),(508,1),(509,1)}
       482:{2,4,7}:{(447,1),(448,1),(450,1),(510,1)}
       483:{1,3,5,7}:{(448,1),(451,1),(507,1),(510,1),(511,1),(544,1),(546,1)}
       484:{2,4,5}:{(449,1),(450,1),(455,1),(512,1)}
       485:{1,4,6}:{(450,1),(451,1),(510,1),(512,1)}
       486:{1,2,5,6}:{(451,1),(468,1),(511,1),(513,1),(517,1),(548,1)}
       487:{1,3,6}:{(452,1),(453,1),(514,1)}
       488:{2,3,5,7}:{(453,1),(454,1),(455,1),(509,1),(514,1),(515,1)}
       489:{1,3,4,7}:{(454,1),(456,1),(510,1),(515,1),(516,1),(546,1)}
       490:{1,3,5}:{(455,1),(456,1),(512,1),(517,1)}
       491:{1,2,4,6}:{(456,1),(516,1),(517,1),(518,1),(548,1),(549,1)}
       492:{2,4,5,6}:{(457,1),(458,1),(462,1),(469,1),(504,1),(519,1),(543,1)}
       493:{3,5,7}:{(458,1),(459,1),(519,1)}
       494:{1,3,6,7}:{(460,1),(461,1),(465,1),(520,1)}
       495:{3,4,6}:{(462,1),(463,1),(519,1)}
       496:{1,3,4,7}:{(464,1),(465,1),(467,1),(470,1),(510,1),(521,1),(524,1),(546,1)}
       497:{2,5,7}:{(465,1),(468,1),(520,1),(521,1)}
       498:{1,3,4,5}:{(466,1),(467,1),(472,1),(512,1),(522,1),(525,1),(547,1)}
       499:{2,4,6}:{(467,1),(468,1),(521,1),(522,1),(523,1)}
       500:{1,2,4,7}:{(470,1),(471,1),(473,1),(521,1),(524,1)}
       501:{1,2,4,5}:{(472,1),(473,1),(474,1),(522,1),(525,1),(526,1)}
       502:{1,3,6}:{(473,1),(523,1),(524,1),(525,1)}
       503:{1,2,3,5}:{(474,1),(475,1),(525,1),(526,1)}
       504:{1,4,5,6}:{(476,1),(477,1),(480,1),(492,1),(527,1)}
       505:{1,3,5,7}:{(477,1),(478,1),(493,1),(527,1),(528,1)}
       506:{2,4,6,7}:{(478,1),(479,1),(482,1),(528,1),(529,1),(531,1)}
       507:{1,3,6,7}:{(479,1),(483,1),(529,1),(530,1),(536,1)}
       508:{1,3,4,6}:{(480,1),(481,1),(487,1),(495,1),(527,1),(531,1)}
       509:{2,4,5,7}:{(481,1),(482,1),(484,1),(488,1),(528,1),(531,1),(532,1)}
       510:{1,4,7}:{(482,1),(483,1),(485,1)}
       511:{1,2,5,7}:{(483,1),(486,1),(497,1),(530,1),(533,1)}
       512:{1,4,5}:{(484,1),(485,1),(490,1)}
       513:{1,2,4,6}:{(485,1),(486,1),(499,1),(533,1),(534,1),(535,1)}
       514:{2,3,6}:{(487,1),(488,1),(531,1),(536,1)}
       515:{1,3,5,7}:{(488,1),(489,1),(490,1),(532,1),(536,1),(537,1)}
       516:{1,2,4,7}:{(489,1),(491,1),(537,1),(538,1)}
       517:{1,2,5}:{(490,1),(491,1)}
       518:{1,2,3,6}:{(491,1),(535,1),(538,1),(539,1)}
       519:{3,5,6}:{(492,1),(493,1),(495,1)}
       520:{2,6,7}:{(494,1),(497,1)}
       521:{2,4,7}:{(496,1),(497,1),(499,1),(540,1)}
       522:{2,4,5}:{(498,1),(499,1),(541,1)}
       523:{2,3,6}:{(499,1),(502,1),(535,1),(540,1),(541,1)}
       524:{1,3,7}:{(500,1),(502,1),(540,1)}
       525:{1,3,5}:{(501,1),(502,1),(541,1),(542,1)}
       526:{1,2,4}:{(503,1),(542,1)}
       527:{1,3,5,6}:{(504,1),(505,1),(508,1),(519,1),(543,1)}
       528:{2,5,7}:{(505,1),(506,1),(543,1),(544,1)}
       529:{1,4,6,7}:{(506,1),(507,1),(510,1),(544,1),(545,1)}
       530:{1,2,6,7}:{(507,1),(511,1),(520,1),(548,1)}
       531:{2,4,6}:{(508,1),(509,1),(514,1),(543,1),(545,1)}
       532:{1,4,5,7}:{(509,1),(510,1),(512,1),(515,1),(544,1),(545,1)}
       533:{1,2,4,7}:{(510,1),(511,1),(513,1),(521,1),(546,1)}
       534:{1,2,4,5}:{(512,1),(513,1),(517,1),(522,1),(547,1),(549,1)}
       535:{1,3,6}:{(513,1),(523,1),(546,1),(547,1)}
       536:{1,3,6}:{(514,1),(515,1),(545,1),(548,1)}
       537:{1,2,5,7}:{(515,1),(516,1),(517,1),(548,1)}
       538:{1,2,3,7}:{(516,1),(518,1),(546,1)}
       539:{1,2,3,5}:{(517,1),(518,1),(547,1),(549,1)}
       540:{2,3,7}:{(521,1),(523,1),(524,1),(546,1)}
       541:{2,3,5}:{(522,1),(523,1),(525,1),(547,1),(550,1)}
       542:{1,3,4}:{(525,1),(526,1),(550,1)}
       543:{2,5,6}:{(527,1),(528,1),(531,1),(551,1)}
       544:{1,5,7}:{(528,1),(529,1),(551,1)}
       545:{1,4,6}:{(531,1),(532,1),(536,1),(551,1)}
       546:{1,3,7}:{(533,1),(535,1),(540,1)}
       547:{1,3,5}:{(534,1),(535,1),(541,1),(552,1)}
       548:{1,2,6}:{(536,1),(537,1)}
       549:{1,2,4}:{(539,1),(552,1)}
       550:{2,3,4}:{(541,1),(542,1),(552,1)}
       551:{1,5,6}:{(543,1),(544,1),(545,1)}
       552:{1,3,4}:{(547,1),(549,1),(550,1)}

1825 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1826 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1827 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(26,1),(97,1)}
         2:{1,2,4}:{(0,1),(4,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,3,4}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(45,1),(121,1),(157,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(36,1),(41,1)}
         8:{1,2,3,6}:{(3,1),(17,1),(18,1),(19,1),(100,1)}
         9:{1,2,4}:{(3,1),(16,1),(20,1)}
        10:{2,3,4}:{(4,1),(16,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(24,1),(25,1),(26,1),(64,1),(65,1),(98,1),(143,1)}
        12:{1,3,5}:{(4,1),(7,1),(22,1),(26,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(24,1),(27,1),(168,1)}
        14:{1,2,5}:{(6,1),(25,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(56,1),(64,1)}
        16:{1,3,4}:{(9,1),(10,1),(31,1)}
        17:{1,2,3,5}:{(8,1),(32,1),(34,1),(74,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(124,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(35,1),(76,1)}
        20:{1,2,5}:{(9,1),(31,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(30,1),(37,1),(38,1),(39,1),(73,1),(82,1),(83,1),(123,1)}
        22:{2,3,5}:{(10,1),(12,1),(31,1),(36,1),(39,1)}
        23:{1,3,4,5}:{(12,1),(36,1),(40,1),(41,1),(80,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(44,1),(88,1),(158,1)}
        25:{1,3,5}:{(11,1),(14,1),(38,1),(41,1)}
        26:{1,3,6}:{(12,1),(15,1),(39,1),(44,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(42,1),(45,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(43,1),(45,1),(46,1),(78,1),(157,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(79,1),(88,1)}
        30:{1,3,4,6}:{(16,1),(19,1),(21,1),(48,1),(49,1),(50,1),(51,1),(94,1),(95,1),(100,1)}
        31:{1,3,5}:{(16,1),(20,1),(22,1),(47,1),(50,1)}
        32:{1,2,4}:{(17,1),(51,1)}
        33:{1,2,4,7}:{(18,1),(19,1),(48,1),(53,1),(55,1)}
        34:{1,2,5}:{(19,1),(49,1)}
        35:{1,2,6}:{(20,1),(50,1),(55,1)}
        36:{2,4,5}:{(22,1),(23,1),(47,1),(56,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(48,1),(58,1),(60,1),(108,1),(144,1)}
        38:{2,3,5}:{(21,1),(25,1),(49,1),(57,1)}
        39:{2,3,6}:{(22,1),(26,1),(50,1),(56,1),(60,1)}
        40:{1,3,4,6}:{(23,1),(26,1),(56,1),(61,1),(62,1),(64,1),(106,1)}
        41:{1,4,5}:{(25,1),(57,1),(64,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(27,1),(58,1),(63,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(64,1),(65,1),(66,1),(112,1),(143,1),(163,1)}
        44:{1,3,7}:{(26,1),(29,1),(60,1)}
        45:{1,2,6}:{(27,1),(65,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(66,1),(67,1),(104,1),(168,1)}
        47:{1,4,5}:{(31,1),(36,1),(68,1)}
        48:{1,3,4,7}:{(30,1),(33,1),(37,1),(70,1),(72,1),(119,1),(124,1)}
        49:{1,3,5}:{(30,1),(34,1),(38,1),(69,1)}
        50:{1,3,6}:{(31,1),(35,1),(39,1),(68,1),(72,1)}
        51:{1,3,4}:{(32,1),(73,1),(74,1)}
        52:{1,2,4,5}:{(32,1),(34,1),(69,1),(74,1),(75,1),(116,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(70,1),(76,1)}
        54:{1,2,5,6}:{(34,1),(35,1),(71,1),(75,1),(76,1),(77,1),(151,1)}
        55:{1,2,7}:{(35,1),(72,1)}
        56:{2,4,6}:{(36,1),(39,1),(40,1),(68,1),(78,1),(79,1)}
        57:{2,4,5}:{(38,1),(41,1),(69,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(42,1),(70,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(82,1),(83,1),(84,1),(123,1),(125,1),(130,1),(151,1)}
        60:{2,3,7}:{(39,1),(44,1),(72,1),(79,1)}
        61:{1,3,5,6}:{(40,1),(78,1),(85,1),(86,1),(125,1)}
        62:{1,3,4,7}:{(40,1),(44,1),(79,1),(86,1),(88,1),(129,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(81,1),(87,1),(88,1),(133,1)}
        64:{1,4,6}:{(41,1),(43,1),(82,1),(88,1)}
        65:{1,3,6}:{(42,1),(45,1),(83,1),(87,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(89,1),(133,1),(158,1),(171,1)}
        67:{1,2,6,7}:{(45,1),(46,1),(89,1),(127,1)}
        68:{1,4,6}:{(47,1),(50,1),(56,1),(90,1),(91,1)}
        69:{1,4,5}:{(49,1),(57,1),(94,1)}
        70:{1,3,5,7}:{(48,1),(49,1),(53,1),(58,1),(93,1),(95,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(54,1),(59,1),(90,1),(94,1),(95,1),(96,1),(100,1),(140,1)}
        72:{1,3,7}:{(50,1),(55,1),(60,1),(91,1)}
        73:{2,3,4}:{(51,1),(98,1),(99,1)}
        74:{1,3,5}:{(51,1),(52,1),(99,1),(100,1)}
        75:{1,2,4,6}:{(52,1),(54,1),(94,1),(100,1),(101,1),(138,1)}
        76:{1,2,6}:{(53,1),(95,1)}
        77:{1,2,5,7}:{(54,1),(55,1),(96,1),(101,1),(102,1),(164,1)}
        78:{2,5,6}:{(56,1),(61,1),(90,1),(104,1)}
        79:{2,4,7}:{(56,1),(60,1),(62,1),(91,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(63,1),(93,1),(105,1),(107,1),(108,1),(149,1)}
        82:{2,4,6}:{(57,1),(59,1),(64,1),(94,1),(106,1),(108,1)}
        83:{2,3,6}:{(58,1),(65,1),(95,1),(107,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(66,1),(96,1),(104,1),(108,1),(109,1),(144,1),(145,1),(149,1),(164,1)}
        85:{1,4,5,6}:{(61,1),(64,1),(103,1),(110,1),(112,1),(163,1)}
        86:{1,3,5,7}:{(61,1),(62,1),(104,1),(110,1),(111,1),(145,1)}
        87:{1,4,6}:{(63,1),(65,1),(107,1),(112,1)}
        88:{1,4,7}:{(64,1),(66,1),(108,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(67,1),(109,1),(113,1),(174,1)}
        90:{1,5,6}:{(68,1),(78,1),(115,1)}
        91:{1,4,7}:{(68,1),(72,1),(79,1),(115,1)}
        92:{1,3,4,5}:{(69,1),(74,1),(80,1),(116,1),(117,1)}
        93:{1,4,5,7}:{(69,1),(70,1),(81,1),(118,1),(119,1),(156,1)}
        94:{1,4,6}:{(69,1),(71,1),(82,1),(119,1)}
        95:{1,3,6}:{(70,1),(76,1),(83,1),(118,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(77,1),(84,1),(115,1),(119,1),(120,1),(124,1),(156,1)}
        97:{1,2,3}:{(121,1)}
        98:{1,3,4}:{(73,1),(121,1),(122,1)}
        99:{2,3,5}:{(73,1),(74,1),(116,1),(122,1),(123,1)}
       100:{1,3,6}:{(74,1),(75,1),(123,1),(124,1)}
       101:{1,2,4,7}:{(75,1),(77,1),(119,1),(124,1),(155,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(120,1),(172,1)}
       103:{2,4,5,6}:{(78,1),(82,1),(85,1),(114,1),(125,1),(126,1),(130,1),(151,1),(161,1)}
       104:{2,5,7}:{(78,1),(79,1),(86,1),(115,1),(127,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(125,1),(129,1)}
       107:{2,4,6}:{(81,1),(83,1),(87,1),(118,1),(128,1),(130,1)}
       108:{2,4,7}:{(82,1),(84,1),(88,1),(119,1),(129,1)}
       109:{2,3,6,7}:{(83,1),(84,1),(89,1),(120,1),(127,1),(131,1),(159,1),(172,1)}
       110:{1,4,5,7}:{(85,1),(86,1),(88,1),(126,1),(132,1),(133,1),(171,1)}
       111:{1,3,6,7}:{(86,1),(127,1),(132,1),(159,1)}
       112:{1,5,6}:{(87,1),(130,1),(133,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(89,1),(131,1),(133,1)}
       114:{1,4,5,6}:{(90,1),(94,1),(103,1),(134,1),(135,1),(140,1)}
       115:{1,5,7}:{(90,1),(91,1),(104,1),(136,1)}
       116:{2,4,5}:{(92,1),(99,1),(137,1),(138,1)}
       117:{1,3,4,6}:{(92,1),(94,1),(100,1),(106,1),(134,1),(138,1),(139,1)}
       118:{1,4,6}:{(93,1),(95,1),(107,1),(140,1)}
       119:{1,4,7}:{(94,1),(96,1),(108,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(102,1),(109,1),(136,1),(141,1)}
       121:{1,2,4}:{(97,1),(98,1),(142,1)}
       122:{1,3,5}:{(98,1),(99,1),(137,1),(142,1),(143,1)}
       123:{2,3,6}:{(99,1),(100,1),(138,1),(143,1),(144,1)}
       124:{1,3,7}:{(100,1),(101,1),(144,1)}
       125:{3,5,6}:{(103,1),(106,1),(145,1)}
       126:{2,4,5,7}:{(103,1),(104,1),(108,1),(110,1),(135,1),(145,1),(146,1),(149,1),(164,1),(170,1)}
       127:{2,6,7}:{(104,1),(111,1),(136,1)}
       128:{3,4,6}:{(105,1),(107,1),(147,1)}
       129:{3,4,7}:{(106,1),(108,1),(145,1)}
       130:{2,5,6}:{(107,1),(112,1),(140,1),(147,1),(149,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(109,1),(113,1),(141,1),(148,1),(149,1)}
       132:{1,4,6,7}:{(110,1),(111,1),(146,1),(150,1),(174,1)}
       133:{1,5,7}:{(112,1),(113,1),(149,1)}
       134:{1,3,5,6}:{(114,1),(117,1),(125,1),(151,1),(152,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(119,1),(126,1),(152,1),(153,1),(156,1)}
       136:{1,6,7}:{(115,1),(127,1)}
       137:{1,4,5}:{(116,1),(122,1),(154,1)}
       138:{2,4,6}:{(116,1),(117,1),(123,1),(151,1),(154,1),(155,1)}
       139:{1,3,4,7}:{(117,1),(119,1),(124,1),(129,1),(152,1),(155,1)}
       140:{1,5,6}:{(118,1),(130,1),(156,1)}
       141:{1,4,6,7}:{(118,1),(119,1),(120,1),(131,1),(156,1)}
       142:{1,2,5}:{(121,1),(122,1),(157,1)}
       143:{1,3,6}:{(122,1),(123,1),(154,1),(157,1),(158,1)}
       144:{2,3,7}:{(123,1),(124,1),(155,1),(158,1)}
       145:{3,5,7}:{(125,1),(126,1),(129,1),(159,1)}
       146:{2,4,6,7}:{(126,1),(127,1),(132,1),(153,1),(159,1),(160,1),(172,1),(173,1)}
       147:{3,5,6}:{(128,1),(130,1),(161,1),(162,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(159,1),(162,1),(173,1)}
       149:{2,5,7}:{(130,1),(131,1),(133,1),(156,1),(162,1)}
       150:{1,5,6,7}:{(132,1),(133,1),(160,1)}
       151:{2,5,6}:{(134,1),(138,1),(163,1),(164,1)}
       152:{1,3,5,7}:{(134,1),(135,1),(139,1),(145,1),(164,1),(165,1)}
       153:{1,4,6,7}:{(135,1),(136,1),(146,1),(165,1),(166,1)}
       154:{1,4,6}:{(137,1),(138,1),(143,1),(163,1),(167,1)}
       155:{2,4,7}:{(138,1),(139,1),(144,1),(164,1),(167,1)}
       156:{1,5,7}:{(140,1),(141,1),(149,1)}
       157:{1,2,6}:{(142,1),(143,1),(168,1)}
       158:{1,3,7}:{(143,1),(144,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(149,1),(150,1),(166,1),(169,1)}
       161:{4,5,6}:{(147,1),(170,1)}
       162:{3,5,7}:{(147,1),(148,1),(149,1),(170,1)}
       163:{1,5,6}:{(151,1),(154,1),(171,1)}
       164:{2,5,7}:{(151,1),(152,1),(155,1),(171,1),(172,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(159,1),(172,1)}
       166:{1,5,6,7}:{(153,1),(156,1),(160,1)}
       167:{1,4,7}:{(154,1),(155,1),(158,1),(171,1)}
       168:{1,2,7}:{(157,1),(158,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(162,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(163,1),(164,1),(167,1),(174,1)}
       172:{2,6,7}:{(164,1),(165,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1828 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

1829 :   0:{1,2,3,5}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(44,1),(69,1),(117,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(46,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(28,1),(62,1),(65,1),(92,1),(137,1)}
        12:{1,2,5}:{(4,1),(23,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(24,1),(26,1),(138,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(25,1),(28,1),(29,1),(60,1),(62,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(32,1),(71,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(77,1)}
        18:{1,2,3,7}:{(8,1),(33,1),(121,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(81,1),(84,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,5}:{(11,1),(12,1),(36,1),(40,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(37,1),(42,1),(46,1),(88,1),(154,1)}
        25:{1,2,5,6}:{(12,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(42,1),(44,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(43,1),(46,1),(86,1),(88,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(50,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(51,1),(53,1),(56,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,5}:{(21,1),(23,1),(50,1),(57,1)}
        37:{2,3,4,7}:{(21,1),(24,1),(51,1),(59,1),(61,1),(108,1),(140,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(23,1),(57,1),(62,1)}
        41:{1,3,5,6}:{(23,1),(25,1),(28,1),(58,1),(62,1),(64,1),(65,1),(114,1),(137,1),(164,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(26,1),(59,1),(63,1),(65,1)}
        43:{1,2,5,7}:{(25,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        44:{1,2,6}:{(26,1),(65,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(32,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,5}:{(31,1),(32,1),(36,1),(73,1)}
        51:{1,3,4,7}:{(31,1),(33,1),(37,1),(75,1),(79,1),(121,1),(123,1)}
        52:{1,2,5,6}:{(32,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(36,1),(40,1),(73,1),(80,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(41,1),(74,1),(81,1),(83,1),(84,1),(85,1),(119,1),(127,1),(132,1),(155,1)}
        59:{2,3,5,7}:{(36,1),(37,1),(42,1),(75,1),(82,1),(84,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,6}:{(40,1),(41,1),(81,1),(88,1)}
        63:{1,4,5,7}:{(40,1),(42,1),(82,1),(88,1),(89,1),(135,1)}
        64:{1,3,5,7}:{(41,1),(43,1),(46,1),(83,1),(88,1),(90,1),(135,1),(154,1),(171,1)}
        65:{1,3,6}:{(42,1),(44,1),(84,1),(89,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(88,1),(91,1),(128,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(52,1),(96,1),(97,1),(98,1),(139,1)}
        73:{1,4,5}:{(50,1),(57,1),(98,1)}
        74:{1,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(96,1),(98,1),(100,1),(101,1),(103,1),(145,1)}
        75:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(99,1),(101,1)}
        76:{1,2,5,7}:{(52,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        77:{1,2,6}:{(53,1),(101,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(105,1)}
        81:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1)}
        82:{2,4,5,7}:{(57,1),(59,1),(63,1),(99,1),(106,1),(108,1),(109,1),(151,1)}
        83:{2,3,5,7}:{(58,1),(61,1),(64,1),(100,1),(108,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        84:{2,3,6}:{(59,1),(65,1),(101,1),(109,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(62,1),(67,1),(107,1),(112,1),(114,1),(164,1)}
        88:{1,4,7}:{(62,1),(64,1),(108,1)}
        89:{1,4,6}:{(63,1),(65,1),(109,1),(114,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(113,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(76,1),(121,1),(123,1),(156,1)}
        98:{1,4,6}:{(73,1),(74,1),(81,1),(123,1)}
        99:{1,4,5,7}:{(73,1),(75,1),(82,1),(123,1),(124,1),(159,1)}
       100:{1,3,5,7}:{(74,1),(76,1),(79,1),(83,1),(121,1),(123,1),(125,1),(126,1),(159,1)}
       101:{1,3,6}:{(75,1),(77,1),(84,1),(124,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,6}:{(80,1),(81,1),(127,1),(128,1)}
       106:{3,4,5,7}:{(80,1),(82,1),(128,1),(129,1),(161,1)}
       107:{2,4,5,6}:{(81,1),(85,1),(87,1),(122,1),(127,1),(130,1),(132,1),(155,1),(162,1)}
       108:{2,4,7}:{(81,1),(83,1),(88,1),(123,1),(128,1)}
       109:{2,4,6}:{(82,1),(84,1),(89,1),(124,1),(129,1),(132,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(131,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,4,6,7}:{(88,1),(89,1),(90,1),(131,1),(135,1)}
       114:{1,5,6}:{(89,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(98,1),(105,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(98,1),(103,1),(107,1),(141,1),(143,1),(145,1)}
       123:{1,4,7}:{(98,1),(100,1),(108,1)}
       124:{1,4,6}:{(99,1),(101,1),(109,1),(145,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(144,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(105,1),(107,1),(147,1)}
       128:{3,4,7}:{(105,1),(108,1),(147,1)}
       129:{3,4,6}:{(106,1),(109,1),(149,1)}
       130:{2,4,5,7}:{(107,1),(108,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,5,6}:{(109,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(123,1),(128,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,4,6,7}:{(123,1),(124,1),(125,1),(131,1),(159,1)}
       145:{1,5,6}:{(124,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(128,1),(130,1),(160,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(131,1),(160,1),(161,1),(173,1)}
       149:{3,5,6}:{(129,1),(132,1),(161,1),(162,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(161,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       162:{4,5,6}:{(149,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1830 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1831 :   0:{2,3,4,5}:{(1,1),(2,1),(15,1),(94,1)}
         1:{1,3,4,5}:{(0,1),(5,1),(6,1),(9,1),(27,1),(83,1),(106,1),(111,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(75,1)}
         3:{1,2,4,5}:{(5,1),(9,1),(10,1),(11,1),(44,1),(83,1)}
         4:{1,2,3,5}:{(9,1),(11,1),(12,1),(44,1)}
         5:{2,4,5}:{(1,1),(15,1),(16,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(22,1),(47,1),(63,1),(90,1),(96,1)}
         7:{2,3,5,6}:{(2,1),(17,1),(19,1),(20,1)}
         8:{2,3,4,7}:{(2,1),(18,1),(20,1),(54,1),(97,1)}
         9:{1,3,5}:{(3,1),(15,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(16,1),(22,1),(23,1),(24,1),(63,1)}
        11:{1,2,4}:{(4,1),(21,1)}
        12:{1,2,3,6}:{(4,1),(22,1),(25,1),(26,1)}
        13:{1,2,4,5}:{(5,1),(27,1),(28,1),(29,1),(71,1),(106,1)}
        14:{1,2,3,5}:{(27,1),(29,1),(30,1),(71,1)}
        15:{2,3,5}:{(5,1),(9,1),(27,1),(31,1),(32,1)}
        16:{2,4,6}:{(5,1),(6,1),(32,1),(33,1),(34,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(33,1),(35,1),(36,1),(77,1)}
        18:{1,3,4,7}:{(6,1),(8,1),(34,1),(36,1),(42,1),(69,1),(85,1),(108,1),(114,1)}
        19:{2,4,5,6}:{(7,1),(35,1),(37,1),(38,1),(75,1),(133,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(36,1),(38,1),(39,1)}
        21:{1,3,4}:{(9,1),(11,1),(31,1)}
        22:{1,3,6}:{(9,1),(10,1),(32,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(33,1),(41,1),(43,1),(44,1),(87,1)}
        24:{1,2,4,7}:{(10,1),(34,1),(42,1),(43,1),(85,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(44,1),(45,1),(87,1)}
        26:{1,2,3,7}:{(12,1),(42,1),(45,1)}
        27:{1,3,5}:{(13,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(13,1),(16,1),(47,1),(48,1),(49,1),(90,1)}
        29:{1,2,4}:{(14,1),(46,1)}
        30:{1,2,3,6}:{(14,1),(47,1),(50,1),(51,1)}
        31:{2,3,4}:{(15,1),(21,1),(46,1)}
        32:{2,3,6}:{(15,1),(16,1),(22,1),(47,1),(54,1)}
        33:{2,5,6}:{(16,1),(17,1),(56,1)}
        34:{2,4,7}:{(16,1),(18,1),(54,1),(56,1)}
        35:{1,4,5,6}:{(17,1),(19,1),(55,1),(57,1),(63,1),(90,1),(129,1),(136,1)}
        36:{1,3,5,7}:{(17,1),(18,1),(20,1),(56,1),(57,1),(58,1),(99,1)}
        37:{3,4,5,6}:{(19,1),(59,1),(96,1),(137,1)}
        38:{2,4,5,7}:{(19,1),(20,1),(57,1),(59,1),(60,1),(97,1),(127,1)}
        39:{2,3,6,7}:{(20,1),(58,1),(60,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(25,1),(52,1),(61,1),(62,1),(63,1),(104,1)}
        41:{1,3,5,6}:{(22,1),(23,1),(53,1),(61,1),(63,1),(64,1),(104,1),(129,1)}
        42:{1,3,7}:{(22,1),(24,1),(54,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(56,1),(64,1),(65,1)}
        44:{1,2,5}:{(25,1),(61,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(62,1),(66,1)}
        46:{1,3,4}:{(27,1),(29,1),(31,1)}
        47:{1,3,6}:{(27,1),(28,1),(32,1),(69,1)}
        48:{1,2,5,6}:{(28,1),(33,1),(68,1),(70,1),(71,1),(110,1)}
        49:{1,2,4,7}:{(28,1),(34,1),(69,1),(70,1),(108,1)}
        50:{1,2,4,6}:{(29,1),(30,1),(67,1),(71,1),(72,1),(110,1)}
        51:{1,2,3,7}:{(30,1),(69,1),(72,1)}
        52:{2,3,4,6}:{(31,1),(32,1),(40,1),(67,1),(73,1),(74,1),(75,1),(113,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(41,1),(68,1),(73,1),(75,1),(76,1),(77,1),(113,1),(133,1)}
        54:{2,3,7}:{(32,1),(34,1),(42,1),(69,1)}
        55:{2,4,5,6}:{(33,1),(35,1),(75,1),(77,1),(78,1),(133,1),(139,1)}
        56:{2,5,7}:{(33,1),(34,1),(36,1),(79,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(78,1),(80,1),(85,1),(108,1),(120,1),(131,1)}
        58:{1,3,6,7}:{(36,1),(39,1),(79,1),(80,1),(116,1)}
        59:{3,4,5,7}:{(37,1),(38,1),(81,1),(114,1),(134,1)}
        60:{2,4,6,7}:{(38,1),(39,1),(80,1),(81,1),(82,1)}
        61:{1,3,5}:{(40,1),(44,1),(73,1),(83,1)}
        62:{1,3,4,7}:{(40,1),(42,1),(45,1),(74,1),(84,1),(85,1)}
        63:{1,4,6}:{(41,1),(75,1),(83,1),(85,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(43,1),(76,1),(85,1),(86,1),(120,1)}
        65:{1,2,6,7}:{(43,1),(79,1),(86,1),(87,1)}
        66:{1,2,5,7}:{(44,1),(45,1),(84,1),(87,1)}
        67:{1,3,4,6}:{(46,1),(47,1),(50,1),(52,1),(88,1),(89,1),(90,1),(122,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(53,1),(88,1),(90,1),(91,1),(122,1),(136,1)}
        69:{1,3,7}:{(47,1),(49,1),(54,1)}
        70:{1,2,5,7}:{(48,1),(49,1),(56,1),(91,1),(92,1)}
        71:{1,2,5}:{(50,1),(88,1)}
        72:{1,2,4,7}:{(50,1),(51,1),(89,1),(93,1)}
        73:{2,3,5}:{(52,1),(61,1),(88,1),(94,1)}
        74:{2,3,4,7}:{(52,1),(54,1),(62,1),(89,1),(95,1),(97,1)}
        75:{2,4,6}:{(53,1),(63,1),(90,1),(94,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(53,1),(54,1),(56,1),(64,1),(91,1),(97,1),(98,1),(99,1),(127,1)}
        77:{3,5,6}:{(55,1),(96,1),(99,1)}
        78:{2,4,5,7}:{(55,1),(56,1),(57,1),(97,1),(99,1),(100,1),(127,1),(138,1)}
        79:{2,6,7}:{(56,1),(58,1)}
        80:{1,4,6,7}:{(57,1),(58,1),(60,1),(100,1),(101,1)}
        81:{3,4,6,7}:{(59,1),(60,1),(102,1)}
        82:{2,5,6,7}:{(60,1),(101,1),(102,1),(127,1)}
        83:{1,4,5}:{(61,1),(63,1),(94,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(66,1),(95,1),(103,1),(104,1)}
        85:{1,4,7}:{(63,1),(64,1),(97,1)}
        86:{1,3,6,7}:{(64,1),(65,1),(98,1),(104,1),(105,1)}
        87:{1,2,6}:{(66,1),(104,1)}
        88:{1,3,5}:{(67,1),(71,1),(73,1),(106,1)}
        89:{1,3,4,7}:{(67,1),(69,1),(72,1),(74,1),(107,1),(108,1)}
        90:{1,4,6}:{(68,1),(75,1),(106,1),(108,1)}
        91:{1,3,5,7}:{(68,1),(69,1),(70,1),(76,1),(108,1),(109,1),(131,1)}
        92:{1,2,6,7}:{(70,1),(79,1),(109,1),(110,1)}
        93:{1,2,5,7}:{(71,1),(72,1),(107,1),(110,1)}
        94:{2,4,5}:{(73,1),(75,1),(83,1),(106,1),(111,1)}
        95:{2,3,5,7}:{(73,1),(74,1),(84,1),(107,1),(112,1),(113,1)}
        96:{3,4,6}:{(75,1),(77,1),(111,1),(114,1)}
        97:{2,4,7}:{(75,1),(76,1),(85,1),(108,1),(114,1)}
        98:{2,3,6,7}:{(76,1),(79,1),(86,1),(109,1),(113,1),(115,1),(116,1)}
        99:{3,5,7}:{(77,1),(78,1),(114,1),(116,1)}
       100:{2,4,6,7}:{(78,1),(79,1),(80,1),(116,1),(117,1),(135,1)}
       101:{1,5,6,7}:{(80,1),(82,1),(117,1),(120,1),(131,1)}
       102:{3,5,6,7}:{(81,1),(82,1),(118,1),(134,1)}
       103:{1,4,5,7}:{(83,1),(84,1),(85,1),(112,1),(119,1),(120,1)}
       104:{1,3,6}:{(84,1),(87,1),(113,1),(119,1)}
       105:{1,4,6,7}:{(85,1),(86,1),(115,1),(119,1),(120,1)}
       106:{1,4,5}:{(88,1),(90,1),(94,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(93,1),(95,1),(121,1),(122,1)}
       108:{1,4,7}:{(90,1),(91,1),(97,1)}
       109:{1,3,6,7}:{(91,1),(92,1),(98,1),(122,1),(123,1)}
       110:{1,2,6}:{(93,1),(122,1)}
       111:{3,4,5}:{(94,1),(96,1)}
       112:{2,4,5,7}:{(94,1),(95,1),(97,1),(103,1),(121,1),(124,1),(125,1),(127,1)}
       113:{2,3,6}:{(95,1),(104,1),(122,1),(125,1)}
       114:{3,4,7}:{(96,1),(97,1),(99,1)}
       115:{2,4,6,7}:{(97,1),(98,1),(105,1),(123,1),(125,1),(126,1),(127,1)}
       116:{3,6,7}:{(99,1),(100,1)}
       117:{2,5,6,7}:{(100,1),(101,1),(127,1),(128,1)}
       118:{4,5,6,7}:{(102,1),(138,1)}
       119:{1,4,6}:{(103,1),(104,1),(125,1),(129,1)}
       120:{1,5,7}:{(105,1),(127,1),(129,1)}
       121:{1,4,5,7}:{(106,1),(107,1),(108,1),(112,1),(130,1),(131,1)}
       122:{1,3,6}:{(107,1),(110,1),(113,1),(130,1)}
       123:{1,4,6,7}:{(108,1),(109,1),(115,1),(130,1),(131,1)}
       124:{3,4,5,7}:{(111,1),(112,1),(114,1),(132,1),(134,1)}
       125:{2,4,6}:{(112,1),(113,1),(119,1),(130,1),(132,1),(133,1)}
       126:{3,4,6,7}:{(114,1),(115,1),(116,1),(132,1),(134,1),(135,1)}
       127:{2,5,7}:{(115,1),(120,1),(131,1),(133,1),(134,1)}
       128:{3,5,6,7}:{(116,1),(117,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(133,1)}
       130:{1,4,6}:{(121,1),(122,1),(125,1),(136,1)}
       131:{1,5,7}:{(123,1),(127,1),(136,1)}
       132:{3,4,6}:{(124,1),(125,1),(137,1)}
       133:{2,5,6}:{(125,1),(127,1),(129,1),(136,1),(137,1)}
       134:{3,5,7}:{(126,1),(127,1),(137,1),(138,1)}
       135:{4,6,7}:{(128,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(133,1)}
       137:{3,5,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{4,5,7}:{(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1832 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1833 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1834 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1835 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1836 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1837 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1838 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1839 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(84,1),(150,1),(155,1),(220,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(58,1),(119,1),(252,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(115,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(147,1),(217,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(84,1),(85,1),(93,1),(150,1),(216,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(154,1),(273,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(273,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(149,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(113,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(60,1),(69,1),(78,1),(122,1),(136,1),(192,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(59,1),(67,1),(120,1),(125,1),(132,1),(137,1),(183,1),(186,1),(265,1),(293,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(181,1),(247,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(185,1),(247,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(247,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(115,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(119,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(184,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(82,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(88,1),(102,1),(221,1),(285,1),(304,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(218,1),(220,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(150,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(149,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(55,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(58,1),(59,1),(120,1),(197,1),(249,1),(293,1)}
        37:{2,3,4,5}:{(57,1),(62,1),(143,1),(197,1),(208,1),(257,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(55,1),(63,1),(73,1),(113,1),(127,1),(138,1),(181,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(117,1),(132,1),(183,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(57,1),(65,1),(69,1),(78,1),(192,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(120,1),(187,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(58,1),(252,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(59,1),(72,1),(132,1),(185,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(184,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,6,7}:{(35,1),(81,1),(82,1)}
        56:{2,3,5,6,7}:{(35,1),(39,1),(82,1),(83,1),(93,1),(144,1)}
        57:{2,3,4,6}:{(37,1),(42,1),(84,1),(86,1),(109,1),(172,1),(222,1),(227,1)}
        58:{2,3,6}:{(36,1),(45,1),(88,1),(304,1)}
        59:{2,4,7}:{(36,1),(46,1),(88,1),(232,1)}
        60:{3,4,5,6}:{(81,1),(89,1),(241,1),(305,1)}
        61:{2,3,4,5,7}:{(37,1),(84,1),(90,1),(91,1),(144,1),(176,1),(230,1),(238,1),(299,1),(306,1),(312,1)}
        62:{1,3,4,5}:{(37,1),(86,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(84,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(151,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(85,1),(98,1),(218,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(86,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(152,1),(155,1),(157,1),(172,1),(221,1),(225,1),(236,1),(240,1),(277,1),(279,1),(284,1),(285,1),(304,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(87,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(88,1),(102,1),(103,1),(154,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(219,1),(234,1),(276,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(60,1),(111,1),(209,1),(307,1)}
        82:{2,4,6,7}:{(55,1),(56,1),(111,1),(113,1)}
        83:{1,3,5,6,7}:{(56,1),(64,1),(113,1),(114,1),(127,1),(178,1),(181,1)}
        84:{2,3,4,7}:{(57,1),(65,1),(115,1),(140,1),(204,1),(244,1),(249,1)}
        85:{2,3,6,7}:{(58,1),(68,1),(116,1),(117,1),(249,1),(252,1)}
        86:{1,3,4,6}:{(57,1),(62,1),(69,1),(115,1),(118,1),(188,1),(207,1)}
        87:{2,3,5,6}:{(58,1),(71,1),(116,1),(119,1),(120,1),(187,1),(190,1),(252,1)}
        88:{2,4,6}:{(58,1),(59,1),(72,1),(120,1)}
        89:{2,4,5,6}:{(60,1),(111,1),(121,1),(122,1),(295,1)}
        90:{2,3,4,6}:{(61,1),(121,1),(123,1),(211,1),(258,1),(266,1),(295,1),(314,1)}
        91:{1,3,4,5,7}:{(61,1),(62,1),(115,1),(123,1),(124,1),(178,1),(195,1),(244,1),(257,1),(265,1),(287,1),(296,1)}
        92:{2,4,5}:{(62,1),(118,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(181,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(114,1),(128,1),(129,1),(187,1),(199,1),(242,1),(263,1),(298,1),(310,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(115,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(183,1),(186,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(293,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(116,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(117,1),(132,1),(133,1),(185,1),(206,1),(250,1),(252,1),(262,1),(294,1)}
       100:{2,5,6}:{(69,1),(118,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(188,1),(190,1),(192,1),(252,1),(254,1),(294,1),(311,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(119,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(120,1),(137,1),(190,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(310,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(89,1),(144,1),(145,1),(299,1)}
       112:{2,3,4,6,7}:{(82,1),(84,1),(90,1),(93,1),(144,1),(146,1),(174,1),(234,1),(270,1),(299,1)}
       113:{1,4,6,7}:{(82,1),(83,1),(145,1),(147,1)}
       114:{2,5,6,7}:{(83,1),(147,1),(163,1),(212,1)}
       115:{1,3,4,7}:{(84,1),(86,1),(96,1),(149,1),(218,1),(237,1)}
       116:{2,3,5,7}:{(85,1),(87,1),(98,1),(150,1),(151,1),(220,1)}
       117:{2,4,6,7}:{(85,1),(88,1),(99,1),(150,1),(151,1),(221,1),(274,1),(304,1)}
       118:{2,4,6}:{(86,1),(92,1),(100,1),(149,1),(153,1)}
       119:{2,4,6}:{(87,1),(102,1),(150,1),(154,1),(155,1)}
       120:{2,5}:{(88,1),(103,1)}
       121:{2,3,5,6}:{(89,1),(90,1),(144,1),(156,1),(241,1),(284,1)}
       122:{1,4,5,6}:{(89,1),(145,1),(156,1),(157,1),(279,1)}
       123:{1,3,4,6}:{(90,1),(91,1),(156,1),(158,1),(227,1),(228,1),(279,1),(285,1)}
       124:{2,4,5,7}:{(91,1),(92,1),(149,1),(158,1),(160,1),(212,1),(268,1),(280,1)}
       125:{1,2,4,5}:{(92,1),(152,1),(161,1),(232,1),(240,1),(277,1)}
       126:{2,3,5}:{(92,1),(153,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(147,1),(163,1),(164,1),(165,1),(221,1),(234,1),(285,1),(304,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(148,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(303,1)}
       130:{2,5,7}:{(96,1),(100,1),(149,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(218,1),(220,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(150,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(151,1),(169,1),(170,1),(220,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(152,1),(166,1),(171,1),(277,1),(304,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(153,1),(167,1),(171,1),(172,1),(222,1),(224,1),(276,1),(277,1),(284,1),(304,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(154,1),(168,1),(172,1),(173,1),(227,1),(279,1),(305,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(155,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(276,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(121,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(122,1),(178,1),(179,1),(287,1)}
       146:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(123,1),(127,1),(178,1),(180,1),(181,1),(244,1),(245,1),(262,1),(287,1)}
       147:{2,4,6,7}:{(113,1),(114,1),(179,1),(181,1)}
       148:{2,3,5,6,7}:{(114,1),(116,1),(129,1),(181,1),(182,1),(187,1),(200,1),(243,1),(247,1),(252,1),(263,1),(292,1)}
       149:{2,4,7}:{(115,1),(118,1),(130,1),(184,1)}
       150:{2,4,7}:{(116,1),(119,1),(132,1),(185,1)}
       151:{2,5,7}:{(117,1),(120,1),(133,1),(187,1)}
       152:{1,2,4,6}:{(118,1),(125,1),(134,1),(183,1),(188,1),(207,1),(253,1)}
       153:{2,3,6}:{(118,1),(126,1),(184,1),(188,1)}
       154:{3,4,6}:{(119,1),(185,1),(190,1),(252,1)}
       155:{2,4,5}:{(119,1),(120,1),(137,1),(190,1)}
       156:{1,3,5,6}:{(121,1),(122,1),(123,1),(178,1),(191,1),(192,1),(298,1)}
       157:{2,4,5,6}:{(122,1),(179,1),(191,1),(192,1),(256,1)}
       158:{2,4,6}:{(123,1),(124,1),(191,1),(194,1)}
       159:{1,2,4,5,7}:{(124,1),(125,1),(183,1),(193,1),(195,1),(242,1),(261,1),(265,1),(287,1),(293,1),(296,1),(297,1),(308,1)}
       160:{2,3,5,7}:{(124,1),(126,1),(184,1),(194,1),(195,1),(196,1),(260,1)}
       161:{1,3,5}:{(125,1),(126,1),(188,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(181,1),(200,1),(252,1),(294,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(182,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(183,1),(199,1),(203,1),(293,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(184,1),(200,1),(203,1),(204,1),(249,1),(263,1),(293,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(185,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(186,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(187,1),(206,1),(252,1),(294,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(188,1),(203,1),(207,1),(254,1),(294,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(190,1),(208,1),(254,1),(257,1),(296,1),(311,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(156,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(157,1),(212,1),(213,1),(268,1)}
       180:{2,4,6,7}:{(146,1),(149,1),(158,1),(163,1),(212,1),(215,1),(268,1)}
       181:{3,6,7}:{(147,1),(213,1)}
       182:{2,4,6,7}:{(148,1),(150,1),(165,1),(216,1),(217,1),(221,1),(268,1),(301,1)}
       183:{1,2,4,7}:{(149,1),(152,1),(166,1),(218,1),(237,1),(274,1)}
       184:{2,3,7}:{(149,1),(153,1),(218,1)}
       185:{3,4,7}:{(150,1),(154,1),(220,1)}
       186:{2,4,5,7}:{(150,1),(151,1),(155,1),(169,1),(220,1),(221,1)}
       187:{2,5,6}:{(151,1),(170,1),(221,1),(304,1)}
       188:{1,3,6}:{(152,1),(153,1),(161,1),(218,1),(222,1)}
       189:{2,3,4,6}:{(153,1),(154,1),(162,1),(172,1),(219,1),(223,1),(224,1),(276,1),(305,1)}
       190:{3,5}:{(154,1),(155,1)}
       191:{2,5,6}:{(156,1),(158,1),(212,1)}
       192:{3,5,6}:{(157,1),(213,1),(227,1)}
       193:{1,2,4,6}:{(158,1),(159,1),(225,1),(228,1),(279,1),(281,1),(285,1),(304,1),(313,1)}
       194:{2,3,6}:{(158,1),(160,1),(228,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(218,1),(228,1),(230,1),(231,1),(282,1),(312,1)}
       196:{2,3,4,7}:{(160,1),(162,1),(229,1),(231,1),(268,1)}
       197:{2,3,5}:{(161,1),(222,1),(232,1),(277,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(304,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(276,1),(304,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(216,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(217,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(218,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(220,1),(235,1),(238,1),(239,1),(269,1),(275,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(221,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(224,1),(240,1),(277,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(191,1)}
       213:{3,5,7}:{(179,1),(181,1),(192,1),(244,1)}
       214:{1,2,4,6,7}:{(180,1),(183,1),(193,1),(199,1),(242,1),(245,1),(262,1),(287,1),(290,1)}
       215:{2,3,6,7}:{(180,1),(181,1),(184,1),(194,1),(243,1),(245,1)}
       216:{3,4,6,7}:{(181,1),(182,1),(185,1),(244,1),(247,1),(252,1),(289,1)}
       217:{2,4,5,7}:{(182,1),(202,1),(247,1),(248,1),(263,1)}
       218:{1,3,7}:{(183,1),(184,1),(188,1),(249,1)}
       219:{2,3,4,7}:{(184,1),(185,1),(189,1),(204,1),(250,1),(251,1),(307,1)}
       220:{3,5,7}:{(185,1),(186,1),(190,1),(252,1)}
       221:{2,4,6}:{(186,1),(187,1),(206,1),(252,1)}
       222:{2,3,6}:{(188,1),(197,1),(249,1),(253,1)}
       223:{1,3,4,6}:{(188,1),(189,1),(198,1),(207,1),(250,1),(253,1),(254,1),(294,1)}
       224:{2,3,5}:{(189,1),(190,1),(208,1),(254,1),(311,1)}
       225:{1,2,5,6}:{(191,1),(193,1),(242,1),(255,1),(297,1),(298,1),(310,1)}
       226:{2,3,5,6}:{(191,1),(192,1),(194,1),(243,1),(255,1),(256,1),(260,1)}
       227:{3,4,6}:{(192,1),(244,1),(256,1),(257,1)}
       228:{1,3,6}:{(193,1),(194,1),(195,1),(258,1),(314,1)}
       229:{2,3,4,6}:{(194,1),(196,1),(256,1),(259,1),(260,1)}
       230:{2,3,5,7}:{(195,1),(197,1),(249,1),(258,1),(261,1),(293,1),(297,1)}
       231:{1,3,4,7}:{(195,1),(196,1),(198,1),(259,1),(261,1),(287,1),(307,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(294,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(247,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(248,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(251,1),(263,1),(265,1),(266,1),(293,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(252,1),(264,1),(266,1),(289,1),(294,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(254,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(225,1),(267,1),(283,1),(302,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(226,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(227,1),(268,1)}
       245:{1,3,6,7}:{(214,1),(215,1),(218,1),(228,1),(267,1),(270,1)}
       246:{2,3,4,6,7}:{(215,1),(216,1),(219,1),(229,1),(234,1),(268,1),(271,1),(272,1),(276,1),(301,1)}
       247:{3,5,7}:{(216,1),(217,1),(273,1)}
       248:{2,4,5,6}:{(217,1),(221,1),(236,1),(273,1),(284,1),(301,1)}
       249:{2,3,7}:{(218,1),(222,1),(274,1)}
       250:{1,3,4,7}:{(218,1),(219,1),(223,1),(237,1),(274,1),(275,1)}
       251:{2,3,5,7}:{(219,1),(220,1),(224,1),(238,1),(275,1),(276,1),(312,1)}
       252:{3,6}:{(220,1),(221,1)}
       253:{2,4,6}:{(222,1),(223,1),(232,1),(274,1),(277,1),(304,1)}
       254:{1,3,5}:{(223,1),(224,1),(240,1),(277,1)}
       255:{1,3,5,6}:{(225,1),(226,1),(228,1),(267,1),(278,1),(279,1),(282,1)}
       256:{2,4,6}:{(226,1),(227,1),(268,1),(279,1),(280,1)}
       257:{3,4,5}:{(227,1),(280,1)}
       258:{2,3,6}:{(228,1),(230,1),(281,1),(304,1)}
       259:{1,3,4,6}:{(228,1),(229,1),(231,1),(279,1),(281,1),(282,1),(305,1)}
       260:{2,3,5}:{(229,1),(280,1),(282,1)}
       261:{2,4,7}:{(230,1),(231,1),(232,1),(281,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(273,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(275,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(276,1),(284,1),(285,1),(304,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(255,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(256,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(257,1),(288,1),(289,1)}
       270:{2,3,6,7}:{(245,1),(249,1),(258,1),(286,1),(290,1),(314,1)}
       271:{1,3,4,6,7}:{(245,1),(246,1),(250,1),(259,1),(262,1),(287,1),(290,1),(291,1),(294,1),(307,1),(309,1),(314,1)}
       272:{2,3,5,7}:{(246,1),(247,1),(260,1),(263,1),(288,1),(291,1),(292,1)}
       273:{3,5,6}:{(247,1),(248,1),(252,1),(289,1)}
       274:{2,4,7}:{(249,1),(250,1),(253,1),(293,1)}
       275:{1,3,5,7}:{(250,1),(251,1),(254,1),(265,1),(293,1),(294,1)}
       276:{2,3,6}:{(251,1),(252,1),(266,1),(294,1),(314,1)}
       277:{2,5}:{(253,1),(254,1)}
       278:{2,3,5,6}:{(255,1),(258,1),(286,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       279:{1,4,6}:{(255,1),(256,1),(287,1),(295,1),(296,1)}
       280:{2,4,5}:{(256,1),(257,1),(260,1),(296,1)}
       281:{2,4,6}:{(258,1),(259,1),(261,1),(297,1)}
       282:{1,3,5}:{(259,1),(260,1),(296,1),(297,1),(311,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(294,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(278,1),(299,1),(302,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(279,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(280,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(273,1),(301,1)}
       290:{2,4,6,7}:{(270,1),(271,1),(274,1),(281,1),(299,1),(302,1),(304,1),(313,1)}
       291:{1,3,5,7}:{(271,1),(272,1),(282,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{2,3,5,6}:{(272,1),(273,1),(276,1),(284,1),(301,1),(303,1)}
       293:{2,5,7}:{(274,1),(275,1),(277,1),(304,1)}
       294:{1,3,6}:{(275,1),(276,1),(285,1),(304,1)}
       295:{2,4,6}:{(278,1),(279,1),(299,1),(305,1),(306,1)}
       296:{1,4,5}:{(279,1),(280,1),(282,1),(306,1)}
       297:{2,5}:{(281,1),(282,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(295,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(296,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{2,5,7}:{(290,1),(291,1),(297,1),(310,1)}
       303:{1,3,5,6}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1),(314,1)}
       304:{2,6}:{(293,1),(294,1)}
       305:{3,4,6}:{(295,1),(307,1),(311,1),(314,1)}
       306:{2,4,5}:{(295,1),(296,1),(297,1),(311,1)}
       307:{3,4,7}:{(299,1),(305,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(302,1),(306,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       310:{2,5,6}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5}:{(305,1),(306,1)}
       312:{3,5,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

1840 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(23,1),(44,1),(62,1),(97,1),(108,1),(110,1),(151,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(28,1),(32,1),(74,1),(79,1),(81,1),(87,1),(129,1),(138,1),(139,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(38,1),(85,1),(177,1),(182,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(38,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(16,1),(43,1),(56,1),(91,1),(107,1),(147,1),(152,1),(154,1),(157,1),(241,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(52,1),(105,1),(108,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(54,1),(56,1),(157,1),(166,1),(167,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(57,1),(114,1),(156,1),(204,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(97,1),(150,1)}
         9:{1,3,5,6,7}:{(3,1),(14,1),(21,1),(22,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(15,1),(20,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(173,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(136,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(6,1),(25,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(31,1),(32,1),(79,1),(135,1),(138,1)}
        15:{2,4,6}:{(5,1),(8,1),(32,1),(33,1)}
        16:{2,3,6,7}:{(6,1),(28,1),(34,1),(79,1),(130,1),(191,1),(214,1)}
        17:{2,5,7}:{(6,1),(7,1),(31,1),(182,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(32,1),(35,1),(74,1),(128,1)}
        19:{3,4,5,7}:{(8,1),(33,1),(38,1),(125,1),(177,1)}
        20:{2,4,5,7}:{(10,1),(30,1),(37,1),(38,1),(85,1),(192,1)}
        21:{2,5,6,7}:{(9,1),(31,1),(39,1),(85,1),(143,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(32,1),(37,1),(39,1)}
        23:{3,4,6,7}:{(10,1),(33,1),(38,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(93,1),(149,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(56,1),(106,1)}
        28:{1,3,6,7}:{(13,1),(16,1),(44,1),(49,1),(101,1),(158,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(17,1),(45,1),(48,1),(49,1),(114,1),(169,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(15,1),(20,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{2,5,6}:{(14,1),(17,1),(54,1),(166,1)}
        32:{1,4,6}:{(14,1),(15,1),(18,1),(54,1)}
        33:{3,4,6}:{(15,1),(19,1),(52,1)}
        34:{2,3,5,7}:{(16,1),(17,1),(49,1),(53,1),(56,1),(57,1),(227,1),(241,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(54,1),(56,1),(57,1),(106,1)}
        36:{1,3,4,5,7}:{(18,1),(19,1),(55,1),(57,1),(58,1),(60,1),(102,1),(111,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(51,1),(59,1),(60,1),(114,1),(168,1)}
        38:{3,5,7}:{(20,1),(23,1),(52,1),(211,1)}
        39:{2,4,6,7}:{(21,1),(22,1),(54,1),(59,1),(61,1)}
        40:{1,3,4,6,7}:{(22,1),(23,1),(55,1),(60,1),(61,1),(62,1),(112,1),(115,1),(168,1),(211,1)}
        41:{2,3,5,6,7}:{(24,1),(63,1),(64,1),(117,1),(171,1),(172,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(176,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(143,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(81,1),(117,1),(136,1)}
        48:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(73,1),(135,1),(176,1),(182,1),(184,1),(188,1),(217,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(34,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(35,1),(70,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(131,1),(140,1),(181,1),(182,1),(185,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(32,1),(37,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(33,1),(38,1),(177,1),(224,1)}
        53:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(130,1),(136,1),(182,1),(217,1),(237,1),(238,1)}
        54:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        55:{1,3,4,6}:{(32,1),(33,1),(36,1),(77,1),(79,1),(80,1),(133,1),(138,1),(187,1),(224,1)}
        56:{2,4,7}:{(34,1),(74,1),(78,1),(81,1)}
        57:{3,5,7}:{(35,1),(79,1),(81,1),(136,1)}
        58:{2,4,5,7}:{(36,1),(80,1),(82,1),(83,1),(85,1),(131,1),(140,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        59:{2,4,5,7}:{(37,1),(39,1),(76,1),(84,1),(85,1),(141,1)}
        60:{1,3,5,7}:{(37,1),(38,1),(40,1),(77,1),(84,1),(85,1)}
        61:{3,6,7}:{(39,1),(79,1),(84,1)}
        62:{2,4,6,7}:{(40,1),(80,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(42,1),(89,1),(90,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(43,1),(88,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(43,1),(88,1),(92,1),(93,1),(106,1),(149,1),(229,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(93,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(169,1),(211,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(53,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(54,1),(95,1),(100,1),(101,1),(109,1),(153,1),(157,1),(166,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(56,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(57,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(54,1),(59,1),(104,1),(105,1),(106,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(55,1),(60,1),(104,1),(105,1),(156,1)}
        78:{2,4,6}:{(53,1),(56,1),(100,1),(106,1),(107,1),(243,1)}
        79:{3,6}:{(54,1),(57,1)}
        80:{2,4,6}:{(55,1),(58,1),(105,1),(108,1),(109,1),(166,1)}
        81:{3,4,7}:{(56,1),(57,1),(107,1),(241,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(108,1),(110,1),(111,1),(164,1),(211,1),(233,1)}
        83:{1,4,5,7}:{(58,1),(109,1),(111,1),(114,1),(159,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(61,1),(104,1),(112,1)}
        85:{2,5,7}:{(60,1),(62,1),(105,1),(114,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(108,1),(113,1),(115,1),(211,1)}
        87:{1,4,6,7}:{(62,1),(109,1),(114,1),(115,1),(168,1)}
        88:{2,4,5,7}:{(64,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{2,5,6,7}:{(63,1),(66,1),(118,1),(171,1),(214,1)}
        90:{1,4,6,7}:{(63,1),(64,1),(67,1),(116,1),(118,1)}
        91:{3,4,6,7}:{(64,1),(68,1),(117,1)}
        92:{1,4,5,6}:{(65,1),(67,1),(116,1),(120,1),(121,1),(128,1),(176,1),(216,1)}
        93:{3,5,6}:{(65,1),(68,1),(117,1),(136,1),(237,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(121,1),(123,1),(124,1),(174,1),(179,1),(216,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(78,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(79,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(81,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(140,1),(181,1),(182,1),(191,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(79,1),(84,1),(133,1),(136,1)}
       105:{2,5,6}:{(77,1),(80,1),(85,1),(135,1),(182,1)}
       106:{2,4,5}:{(78,1),(128,1),(136,1),(182,1)}
       107:{3,4,6}:{(78,1),(79,1),(81,1),(136,1),(237,1),(244,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(224,1)}
       109:{1,4,6}:{(80,1),(83,1),(135,1),(138,1)}
       110:{2,3,4,7}:{(81,1),(82,1),(131,1),(137,1),(139,1),(141,1),(220,1),(240,1)}
       111:{1,3,5,7}:{(82,1),(83,1),(138,1),(139,1),(140,1),(189,1)}
       112:{3,4,7}:{(84,1),(133,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(134,1),(141,1),(142,1)}
       114:{1,5,7}:{(85,1),(87,1),(135,1)}
       115:{1,3,6,7}:{(86,1),(87,1),(138,1),(142,1),(143,1)}
       116:{1,4,5,7}:{(88,1),(90,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(91,1),(93,1),(241,1)}
       118:{2,4,6,7}:{(89,1),(90,1),(95,1),(144,1),(146,1)}
       119:{1,3,4,6,7}:{(90,1),(91,1),(96,1),(145,1),(146,1),(147,1),(193,1),(196,1),(226,1),(241,1)}
       120:{2,4,5,6}:{(92,1),(95,1),(144,1),(148,1),(149,1),(150,1),(198,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(156,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(149,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(211,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(106,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(107,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(166,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(112,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(108,1),(113,1),(162,1),(163,1),(164,1)}
       135:{1,5,6}:{(105,1),(109,1),(114,1),(204,1)}
       136:{3,5}:{(106,1),(107,1)}
       137:{2,3,4,6}:{(107,1),(108,1),(110,1),(157,1),(162,1),(164,1),(165,1),(231,1),(243,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(166,1)}
       139:{1,3,4,7}:{(110,1),(111,1),(159,1),(165,1),(167,1),(168,1),(206,1),(211,1)}
       140:{2,5,7}:{(111,1),(166,1),(167,1),(209,1)}
       141:{2,4,7}:{(112,1),(113,1),(162,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(163,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(115,1),(166,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,6,7}:{(118,1),(123,1),(170,1)}
       147:{2,4,6,7}:{(119,1),(124,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{3,5,6}:{(120,1),(123,1),(170,1),(174,1),(177,1)}
       149:{2,5,6}:{(121,1),(124,1),(171,1),(176,1),(182,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(176,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(191,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(136,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(140,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(141,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(138,1),(142,1),(187,1),(188,1),(189,1),(224,1)}
       164:{2,3,5}:{(136,1),(137,1),(182,1),(186,1),(189,1)}
       165:{1,3,4,6}:{(137,1),(138,1),(139,1),(183,1),(187,1),(189,1),(190,1),(222,1),(224,1),(239,1),(240,1)}
       166:{2,6}:{(138,1),(140,1)}
       167:{2,4,7}:{(139,1),(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(187,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(188,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{2,3,6,7}:{(146,1),(147,1),(152,1),(194,1),(196,1),(241,1)}
       173:{1,4,6,7}:{(147,1),(153,1),(195,1),(196,1),(226,1)}
       174:{3,4,6}:{(148,1),(193,1),(197,1),(198,1)}
       175:{2,3,5,6}:{(148,1),(149,1),(152,1),(194,1),(198,1),(199,1),(200,1)}
       176:{1,5,6}:{(149,1),(153,1),(195,1),(204,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(198,1),(200,1),(201,1),(210,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(166,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(167,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(164,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(168,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(166,1),(169,1),(208,1),(209,1)}
       189:{1,3,5}:{(164,1),(165,1),(204,1),(207,1),(209,1),(233,1)}
       190:{2,4,6}:{(165,1),(166,1),(167,1),(209,1),(210,1),(234,1)}
       191:{2,3,7}:{(167,1),(206,1),(210,1),(211,1)}
       192:{2,4,7}:{(168,1),(169,1),(208,1),(211,1)}
       193:{3,4,7}:{(170,1),(174,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(173,1),(176,1)}
       196:{1,3,6,7}:{(172,1),(173,1),(179,1),(213,1),(214,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,4,6}:{(174,1),(175,1),(212,1),(215,1),(216,1)}
       199:{1,3,5,6}:{(175,1),(176,1),(179,1),(213,1),(216,1),(217,1),(218,1),(237,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(215,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(216,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(190,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(191,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(189,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(192,1),(223,1),(224,1)}
       209:{2,5}:{(189,1),(190,1)}
       210:{2,3,6}:{(190,1),(191,1),(222,1),(224,1),(225,1)}
       211:{3,7}:{(192,1),(224,1)}
       212:{2,4,7}:{(193,1),(194,1),(198,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(196,1),(202,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(200,1),(228,1),(234,1)}
       216:{1,4,6}:{(198,1),(199,1),(226,1),(228,1),(229,1)}
       217:{2,5,6}:{(199,1),(202,1),(227,1),(229,1),(230,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(209,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(210,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(211,1),(233,1)}
       225:{2,3,5}:{(209,1),(210,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(216,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(217,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(216,1),(217,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1841 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(177,1),(178,1),(187,1),(206,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(29,1),(238,1),(239,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(145,1),(163,1),(165,1),(232,1),(251,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(220,1),(231,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(46,1),(283,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(122,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(122,1),(208,1),(295,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(46,1),(107,1),(123,1),(277,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(99,1),(178,1),(206,1),(210,1),(264,1),(276,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(263,1),(275,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(145,1),(324,1)}
        12:{1,2,3,6,7}:{(5,1),(26,1),(27,1),(72,1),(149,1),(236,1),(239,1),(325,1),(326,1),(383,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(28,1),(29,1),(66,1),(74,1),(78,1),(145,1),(232,1),(235,1),(238,1),(322,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(25,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(27,1),(29,1),(30,1),(73,1),(75,1),(80,1),(149,1),(153,1),(241,1),(242,1),(323,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(33,1),(34,1),(253,1),(335,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(33,1),(34,1),(87,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(72,1),(92,1),(145,1),(163,1),(167,1),(251,1),(256,1),(319,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(318,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(306,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(16,1),(42,1),(46,1),(47,1),(281,1),(359,1)}
        25:{1,3,4,6}:{(11,1),(14,1),(17,1),(43,1),(46,1),(47,1),(107,1)}
        26:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(110,1),(194,1),(276,1),(283,1),(360,1)}
        27:{1,2,3,5,7}:{(12,1),(15,1),(48,1),(49,1),(106,1),(111,1),(195,1),(285,1),(359,1),(401,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(46,1),(51,1),(97,1),(107,1),(277,1),(283,1)}
        29:{1,2,5}:{(14,1),(47,1)}
        30:{1,2,4,6}:{(15,1),(49,1),(52,1),(53,1),(107,1),(189,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(121,1),(122,1),(180,1),(187,1),(267,1)}
        32:{2,3,4,6,7}:{(17,1),(45,1),(55,1),(56,1),(112,1),(120,1),(122,1),(192,1),(203,1),(276,1),(399,1),(400,1),(422,1)}
        33:{2,3,6}:{(16,1),(18,1),(46,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(56,1),(59,1),(122,1),(295,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(107,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(263,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(145,1),(222,1),(224,1),(232,1),(311,1)}
        45:{1,3,4,6,7}:{(25,1),(26,1),(32,1),(67,1),(71,1),(72,1),(77,1),(143,1),(145,1),(149,1),(151,1),(237,1),(319,1),(383,1),(384,1),(415,1)}
        46:{1,3,6}:{(24,1),(28,1),(33,1),(68,1)}
        47:{1,3,5}:{(25,1),(29,1),(34,1),(69,1),(74,1)}
        48:{1,2,5,7}:{(26,1),(29,1),(71,1),(75,1),(317,1),(385,1)}
        49:{1,2,4,7}:{(27,1),(30,1),(77,1),(145,1),(233,1),(415,1)}
        50:{1,2,4,6,7}:{(28,1),(35,1),(72,1),(78,1),(133,1),(145,1),(319,1),(322,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(36,1),(73,1),(78,1),(134,1),(318,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(74,1),(80,1),(147,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(77,1),(80,1),(81,1),(149,1),(323,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(33,1),(70,1),(83,1),(87,1),(161,1),(231,1)}
        55:{2,3,5,7}:{(32,1),(34,1),(71,1),(84,1),(85,1),(246,1),(317,1),(414,1)}
        56:{2,3,6,7}:{(33,1),(35,1),(72,1),(86,1),(167,1),(335,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(36,1),(73,1),(86,1),(87,1),(91,1)}
        58:{2,4,5}:{(34,1),(74,1),(87,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(87,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(145,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(146,1),(169,1),(229,1),(245,1),(329,1),(387,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(222,1),(306,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(178,1),(269,1),(349,1)}
        67:{2,3,4,6,7}:{(43,1),(45,1),(98,1),(99,1),(112,1),(176,1),(178,1),(192,1),(264,1),(276,1),(365,1),(366,1),(406,1)}
        68:{2,3,6}:{(42,1),(46,1),(97,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(46,1),(54,1),(97,1),(103,1),(107,1),(179,1),(277,1)}
        71:{1,3,5,7}:{(45,1),(47,1),(48,1),(55,1),(98,1),(104,1),(105,1),(354,1),(403,1)}
        72:{1,3,6,7}:{(46,1),(50,1),(56,1),(99,1),(106,1),(359,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(51,1),(57,1),(100,1),(106,1),(107,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(107,1)}
        75:{1,2,5,6}:{(48,1),(104,1),(110,1),(275,1),(283,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(52,1),(105,1),(110,1),(111,1),(187,1)}
        77:{1,3,4,7}:{(49,1),(53,1),(111,1),(112,1),(359,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(59,1),(106,1),(173,1),(354,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(60,1),(107,1),(110,1),(113,1),(114,1),(131,1),(174,1),(184,1),(189,1),(212,1),(273,1),(275,1),(280,1),(341,1),(355,1),(362,1),(396,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(112,1),(115,1),(116,1),(189,1),(192,1),(296,1),(297,1),(350,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(56,1),(102,1),(117,1),(122,1),(199,1),(203,1),(267,1),(276,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(202,1),(275,1)}
        84:{2,3,5,6}:{(55,1),(104,1),(120,1),(192,1),(202,1),(275,1)}
        85:{2,4,5,7}:{(55,1),(58,1),(105,1),(120,1),(121,1),(122,1),(422,1),(423,1)}
        86:{2,3,5,7}:{(56,1),(57,1),(59,1),(106,1),(122,1),(126,1)}
        87:{2,4,6}:{(57,1),(58,1),(107,1),(122,1),(123,1)}
        88:{3,4,5}:{(58,1),(123,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(122,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(123,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(188,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(189,1),(212,1),(275,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(68,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(69,1),(71,1),(135,1),(136,1),(306,1),(317,1),(390,1)}
        99:{2,3,6,7}:{(68,1),(72,1),(133,1),(137,1),(302,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(137,1),(138,1),(217,1)}
       101:{2,4,5}:{(69,1),(74,1),(138,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(72,1),(82,1),(133,1),(140,1),(145,1),(222,1),(225,1),(302,1),(311,1),(319,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(318,1)}
       104:{1,3,5,6}:{(71,1),(75,1),(84,1),(135,1),(143,1),(149,1),(237,1),(318,1)}
       105:{1,4,5,7}:{(71,1),(74,1),(85,1),(136,1),(143,1),(145,1),(415,1),(416,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(78,1),(86,1),(137,1),(145,1)}
       107:{1,4,6}:{(73,1),(74,1),(87,1),(138,1),(145,1)}
       108:{1,3,4,5}:{(74,1),(80,1),(88,1),(139,1),(146,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(78,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,6}:{(75,1),(76,1),(143,1),(149,1),(231,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(80,1),(149,1),(150,1)}
       112:{2,3,4,7}:{(77,1),(81,1),(150,1),(151,1),(233,1),(335,1),(379,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(90,1),(145,1),(148,1),(152,1),(172,1),(216,1),(228,1),(233,1),(257,1),(316,1),(317,1),(322,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(91,1),(146,1),(149,1),(152,1),(153,1),(217,1),(323,1),(387,1),(411,1)}
       115:{2,3,5}:{(80,1),(81,1),(147,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(151,1),(154,1),(155,1),(234,1),(237,1),(323,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(246,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(87,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(160,1),(167,1),(236,1),(246,1),(317,1),(409,1),(412,1),(424,1)}
       120:{2,4,6}:{(84,1),(85,1),(143,1),(161,1)}
       121:{3,4,5,7}:{(85,1),(88,1),(161,1),(163,1),(246,1),(425,1),(426,1)}
       122:{2,4,7}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,6}:{(87,1),(88,1),(91,1),(163,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(164,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(163,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(164,1),(168,1),(169,1),(387,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(233,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(234,1),(318,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(306,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(99,1),(102,1),(173,1),(178,1),(349,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,6}:{(98,1),(104,1),(176,1),(192,1),(263,1),(275,1)}
       136:{2,4,5,7}:{(98,1),(101,1),(105,1),(176,1),(177,1),(178,1),(406,1),(407,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(173,1),(178,1),(260,1)}
       138:{2,4,6}:{(100,1),(101,1),(107,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(107,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(185,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,6}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,5,7}:{(105,1),(108,1),(111,1),(121,1),(177,1),(186,1),(187,1),(188,1),(274,1)}
       145:{1,4,7}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,6}:{(107,1),(108,1),(114,1),(123,1),(179,1),(188,1),(189,1),(402,1),(405,1),(421,1)}
       147:{2,4,5}:{(108,1),(115,1),(189,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(113,1),(125,1),(185,1),(191,1),(214,1),(259,1),(276,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,6}:{(110,1),(111,1),(192,1)}
       150:{2,3,5,7}:{(111,1),(112,1),(115,1),(187,1),(192,1),(193,1)}
       151:{1,3,4,7}:{(112,1),(116,1),(193,1),(194,1),(279,1),(359,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(126,1),(188,1),(191,1),(195,1),(260,1),(359,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(189,1),(192,1),(195,1),(196,1),(212,1),(275,1),(296,1),(341,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(190,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(194,1),(197,1),(198,1),(283,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(122,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(123,1),(200,1),(202,1)}
       159:{2,4,5,6}:{(120,1),(184,1),(201,1),(202,1),(275,1)}
       160:{2,4,6,7}:{(119,1),(120,1),(122,1),(185,1),(201,1),(203,1),(422,1)}
       161:{3,4,6}:{(120,1),(121,1),(202,1)}
       162:{2,3,4,5,7}:{(121,1),(124,1),(187,1),(204,1),(205,1),(206,1),(290,1),(348,1),(422,1),(423,1)}
       163:{3,4,7}:{(122,1),(123,1),(126,1)}
       164:{2,3,4,6}:{(123,1),(124,1),(127,1),(189,1),(206,1),(207,1),(350,1),(405,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(207,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(206,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(207,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(279,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(138,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(219,1),(236,1),(302,1),(306,1),(317,1),(337,1),(388,1),(391,1)}
       176:{2,4,6}:{(135,1),(136,1),(143,1),(220,1)}
       177:{3,4,5,7}:{(136,1),(139,1),(220,1),(222,1),(306,1),(417,1),(418,1)}
       178:{2,4,7}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(217,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(223,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(145,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(146,1),(158,1),(217,1),(226,1),(227,1),(229,1),(304,1),(305,1),(373,1),(411,1)}
       184:{1,4,5,6}:{(143,1),(159,1),(218,1),(228,1),(229,1),(318,1)}
       185:{1,4,6,7}:{(142,1),(143,1),(145,1),(160,1),(219,1),(228,1),(415,1)}
       186:{1,3,4,6}:{(143,1),(144,1),(149,1),(161,1),(220,1),(229,1),(231,1)}
       187:{2,4,5,7}:{(144,1),(147,1),(150,1),(231,1),(232,1),(233,1),(317,1)}
       188:{1,3,4,7}:{(145,1),(146,1),(152,1),(163,1),(222,1),(233,1),(415,1),(417,1),(425,1)}
       189:{2,4,6}:{(146,1),(147,1),(153,1),(233,1),(234,1)}
       190:{1,4,5}:{(147,1),(154,1),(234,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(152,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,6}:{(149,1),(150,1),(231,1),(237,1)}
       193:{1,3,5,7}:{(150,1),(151,1),(154,1),(232,1),(237,1),(238,1)}
       194:{1,2,4,7}:{(151,1),(155,1),(238,1),(239,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(233,1),(236,1),(240,1),(257,1),(317,1),(335,1),(371,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(234,1),(237,1),(240,1),(241,1),(318,1),(323,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(239,1),(242,1),(323,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(163,1),(244,1),(246,1)}
       201:{2,4,5,7}:{(159,1),(160,1),(228,1),(246,1),(317,1)}
       202:{3,5,6}:{(159,1),(161,1),(246,1)}
       203:{3,4,6,7}:{(160,1),(161,1),(163,1),(167,1),(246,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(161,1),(162,1),(231,1),(247,1),(249,1),(377,1),(413,1)}
       205:{1,3,4,5,7}:{(162,1),(165,1),(232,1),(249,1),(250,1),(251,1),(321,1),(330,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,4,7}:{(163,1),(164,1),(168,1),(233,1),(251,1),(379,1),(417,1)}
       207:{1,3,4,6}:{(164,1),(165,1),(169,1),(234,1),(251,1),(252,1),(323,1)}
       208:{2,4,5}:{(165,1),(252,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(246,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(251,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(252,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(179,1),(260,1)}
       218:{2,4,5,6}:{(176,1),(184,1),(262,1),(263,1),(275,1)}
       219:{2,4,6,7}:{(175,1),(176,1),(178,1),(185,1),(262,1),(264,1),(406,1)}
       220:{3,4,6}:{(176,1),(177,1),(263,1)}
       221:{2,3,4,5,7}:{(177,1),(180,1),(187,1),(265,1),(266,1),(267,1),(294,1),(344,1),(406,1),(407,1)}
       222:{3,4,7}:{(178,1),(179,1),(260,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(189,1),(261,1),(267,1),(268,1),(296,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(268,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(188,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(189,1),(261,1),(272,1),(273,1),(275,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(185,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,5,6}:{(184,1),(186,1),(202,1),(263,1),(274,1),(275,1)}
       230:{1,3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(203,1),(264,1),(274,1),(276,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(275,1),(277,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(277,1),(279,1),(354,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(279,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(279,1)}
       235:{1,2,4,5}:{(190,1),(197,1),(208,1),(269,1),(280,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(276,1),(282,1),(300,1),(394,1)}
       237:{1,3,6}:{(192,1),(193,1),(277,1),(283,1)}
       238:{1,2,5,7}:{(193,1),(194,1),(197,1),(283,1)}
       239:{1,2,3,7}:{(194,1),(198,1),(359,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(279,1),(282,1),(285,1),(354,1),(359,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(212,1),(280,1),(283,1),(285,1),(341,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(281,1),(286,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,4,5,6}:{(202,1),(288,1),(289,1),(421,1)}
       246:{3,5,7}:{(201,1),(202,1),(203,1)}
       247:{2,3,5,6}:{(202,1),(204,1),(275,1),(289,1),(290,1),(291,1)}
       248:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(276,1),(290,1),(292,1),(298,1),(399,1),(422,1)}
       249:{1,3,4,6}:{(204,1),(205,1),(277,1),(291,1),(293,1),(357,1),(402,1),(405,1)}
       250:{2,4,5,7}:{(205,1),(208,1),(293,1),(294,1),(295,1),(363,1),(406,1),(407,1)}
       251:{1,3,4,7}:{(206,1),(207,1),(211,1),(279,1),(295,1),(359,1)}
       252:{2,4,6}:{(207,1),(208,1),(212,1),(295,1),(296,1)}
       253:{2,3,5}:{(208,1),(281,1),(296,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(290,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(295,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(222,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(223,1),(227,1),(303,1),(304,1),(411,1)}
       262:{2,4,5,7}:{(218,1),(219,1),(228,1),(306,1),(317,1)}
       263:{3,5,6}:{(218,1),(220,1),(306,1)}
       264:{3,4,6,7}:{(219,1),(220,1),(222,1),(302,1),(306,1),(391,1),(417,1)}
       265:{2,3,4,6}:{(220,1),(221,1),(231,1),(307,1),(309,1),(333,1),(389,1)}
       266:{1,3,4,5,7}:{(221,1),(224,1),(232,1),(309,1),(310,1),(311,1),(321,1),(374,1),(415,1),(416,1),(425,1),(426,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(233,1),(303,1),(311,1),(335,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(234,1),(304,1),(311,1),(312,1),(323,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(233,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(234,1),(304,1),(316,1),(318,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(230,1),(246,1),(306,1),(317,1)}
       275:{2,5,6}:{(229,1),(231,1),(317,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(317,1),(319,1)}
       277:{1,4,6}:{(231,1),(232,1),(237,1),(318,1)}
       278:{1,2,4,5,7}:{(232,1),(235,1),(238,1),(250,1),(310,1),(320,1),(321,1),(322,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       279:{1,4,7}:{(233,1),(234,1),(240,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(241,1),(252,1),(312,1),(322,1),(323,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(323,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(240,1),(319,1),(325,1)}
       283:{1,2,6}:{(237,1),(238,1)}
       284:{1,2,3,5,7}:{(238,1),(239,1),(242,1),(321,1),(326,1),(327,1),(385,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(257,1),(322,1),(325,1),(371,1)}
       286:{1,2,4}:{(242,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(246,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(246,1),(254,1),(328,1),(425,1)}
       289:{2,4,5,6}:{(245,1),(247,1),(328,1),(329,1),(413,1)}
       290:{2,3,5,7}:{(246,1),(247,1),(248,1),(317,1),(328,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(318,1),(329,1),(330,1),(331,1),(387,1)}
       292:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(256,1),(319,1),(330,1),(332,1),(336,1),(383,1),(391,1),(415,1),(417,1)}
       293:{2,4,6}:{(249,1),(250,1),(331,1),(333,1)}
       294:{2,3,5,7}:{(250,1),(253,1),(321,1),(333,1),(334,1),(335,1),(390,1)}
       295:{2,4,7}:{(251,1),(252,1),(257,1),(335,1)}
       296:{2,3,6}:{(252,1),(253,1),(323,1),(335,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(330,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(267,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(268,1),(273,1),(340,1),(341,1)}
       305:{3,4,5,6}:{(263,1),(342,1),(343,1),(405,1)}
       306:{3,5,7}:{(262,1),(263,1),(264,1)}
       307:{2,3,5,6}:{(263,1),(265,1),(275,1),(343,1),(344,1),(345,1)}
       308:{2,3,4,6,7}:{(264,1),(265,1),(267,1),(276,1),(339,1),(344,1),(346,1),(365,1),(392,1),(406,1)}
       309:{1,3,4,6}:{(265,1),(266,1),(277,1),(345,1),(347,1),(357,1),(402,1),(421,1)}
       310:{2,4,5,7}:{(266,1),(269,1),(347,1),(348,1),(349,1),(397,1),(422,1),(423,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(279,1),(340,1),(349,1),(359,1)}
       312:{2,4,6}:{(268,1),(269,1),(341,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(281,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(279,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(276,1),(354,1)}
       318:{1,5,6}:{(275,1),(277,1),(354,1)}
       319:{1,4,6,7}:{(276,1),(277,1),(279,1),(282,1),(354,1)}
       320:{1,2,4,6}:{(277,1),(278,1),(283,1),(293,1),(347,1),(355,1),(357,1),(402,1)}
       321:{1,3,5,7}:{(278,1),(281,1),(294,1),(348,1),(357,1),(358,1),(359,1),(403,1)}
       322:{1,2,4,7}:{(279,1),(280,1),(285,1),(295,1),(349,1),(359,1)}
       323:{1,3,6}:{(280,1),(281,1),(296,1),(350,1),(359,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(285,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(283,1),(284,1),(357,1),(360,1)}
       327:{1,2,4,7}:{(284,1),(286,1),(358,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(290,1),(298,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(289,1),(291,1),(361,1),(362,1),(402,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(354,1),(361,1),(363,1),(404,1)}
       331:{2,5,6}:{(291,1),(293,1),(363,1)}
       332:{2,4,6,7}:{(292,1),(293,1),(295,1),(300,1),(363,1),(365,1),(406,1)}
       333:{2,3,6}:{(293,1),(294,1),(357,1)}
       334:{2,3,4,7}:{(294,1),(297,1),(358,1),(366,1),(406,1)}
       335:{2,3,7}:{(295,1),(296,1),(359,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(363,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(306,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(311,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(312,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(306,1),(368,1),(372,1),(417,1)}
       343:{2,4,5,6}:{(305,1),(307,1),(372,1),(373,1),(389,1)}
       344:{2,3,5,7}:{(306,1),(307,1),(308,1),(317,1),(372,1),(374,1)}
       345:{1,3,5,6}:{(307,1),(309,1),(318,1),(373,1),(374,1),(375,1),(411,1)}
       346:{1,3,4,6,7}:{(308,1),(309,1),(311,1),(319,1),(370,1),(374,1),(376,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       347:{2,4,6}:{(309,1),(310,1),(375,1),(377,1)}
       348:{2,3,5,7}:{(310,1),(313,1),(321,1),(377,1),(378,1),(379,1),(414,1)}
       349:{2,4,7}:{(311,1),(312,1),(371,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(323,1),(379,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(319,1)}
       355:{1,2,5,6}:{(318,1),(320,1),(331,1),(375,1),(381,1),(382,1),(385,1)}
       356:{1,2,4,6,7}:{(319,1),(320,1),(322,1),(325,1),(332,1),(376,1),(381,1),(383,1),(415,1)}
       357:{1,3,6}:{(320,1),(321,1),(333,1),(377,1)}
       358:{1,3,4,7}:{(321,1),(324,1),(327,1),(334,1),(378,1),(384,1),(415,1)}
       359:{1,3,7}:{(322,1),(323,1),(335,1),(379,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(336,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(331,1),(386,1),(387,1),(389,1)}
       363:{2,5,7}:{(330,1),(331,1),(332,1)}
       364:{2,3,5,6}:{(331,1),(333,1),(382,1),(387,1),(388,1),(389,1),(390,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(335,1),(383,1),(388,1),(391,1)}
       366:{2,3,4,6}:{(333,1),(334,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(344,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(349,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(344,1),(392,1),(395,1),(406,1)}
       373:{1,4,5,6}:{(343,1),(345,1),(395,1),(396,1),(402,1)}
       374:{1,3,5,7}:{(344,1),(345,1),(346,1),(354,1),(395,1),(397,1),(420,1)}
       375:{2,5,6}:{(345,1),(347,1),(397,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(349,1),(394,1),(397,1),(399,1),(422,1)}
       377:{2,3,6}:{(347,1),(348,1),(357,1)}
       378:{2,3,4,7}:{(348,1),(351,1),(358,1),(400,1),(422,1)}
       379:{2,3,7}:{(349,1),(350,1),(359,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(356,1),(363,1),(397,1),(401,1)}
       382:{1,3,5,6}:{(355,1),(357,1),(364,1),(398,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(356,1),(357,1),(359,1),(365,1),(399,1),(401,1)}
       384:{1,3,4,6}:{(357,1),(358,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(367,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{2,3,5,7}:{(363,1),(364,1),(365,1),(401,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(374,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(415,1)}
       396:{2,4,5,6}:{(373,1),(375,1),(410,1),(411,1),(413,1)}
       397:{2,5,7}:{(374,1),(375,1),(376,1)}
       398:{2,3,5,6}:{(375,1),(377,1),(382,1),(411,1),(412,1),(413,1),(414,1)}
       399:{2,3,6,7}:{(376,1),(377,1),(379,1),(383,1),(412,1),(424,1)}
       400:{2,3,4,6}:{(377,1),(378,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(388,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(391,1),(417,1)}
       405:{3,4,6}:{(387,1),(389,1),(417,1),(418,1)}
       406:{2,4,7}:{(388,1),(389,1),(415,1),(417,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(397,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(397,1),(419,1),(420,1),(422,1)}
       411:{3,5,6}:{(396,1),(420,1),(421,1)}
       412:{2,3,5,7}:{(397,1),(398,1),(399,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(398,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(411,1),(424,1),(425,1)}
       421:{3,4,6}:{(411,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

1842 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1843 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(91,1),(98,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(133,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(67,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(68,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(26,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(74,1),(75,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(116,1),(122,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(110,1),(150,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(13,1),(15,1),(39,1),(42,1),(43,1),(44,1),(91,1),(92,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(42,1),(45,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(46,1),(47,1),(83,1),(91,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,4,7}:{(15,1),(42,1),(50,1),(52,1),(100,1)}
        30:{2,3,5}:{(15,1),(43,1),(49,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(91,1),(137,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(131,1),(161,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(133,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(110,1),(111,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(29,1),(60,1),(65,1),(67,1),(116,1)}
        43:{1,3,5}:{(23,1),(26,1),(30,1),(61,1),(64,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(65,1),(68,1)}
        46:{1,2,5,6}:{(26,1),(27,1),(32,1),(66,1),(68,1),(69,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(69,1),(107,1),(116,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(74,1)}
        49:{2,4,5}:{(30,1),(64,1),(72,1),(74,1)}
        50:{2,3,5,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(32,1),(66,1),(74,1),(75,1),(76,1),(77,1),(123,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(74,1),(77,1),(78,1),(123,1),(156,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(116,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(149,1),(170,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(42,1),(85,1),(87,1),(133,1)}
        61:{2,3,5}:{(39,1),(43,1),(84,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(91,1),(131,1)}
        64:{1,4,5}:{(43,1),(49,1),(84,1),(91,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(45,1),(50,1),(85,1),(90,1),(92,1)}
        66:{1,3,5,6}:{(43,1),(44,1),(46,1),(51,1),(86,1),(91,1),(92,1),(93,1),(137,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(47,1),(54,1),(93,1),(94,1),(129,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(100,1)}
        72:{3,4,5}:{(49,1),(98,1)}
        73:{2,4,5,7}:{(49,1),(50,1),(90,1),(97,1),(99,1),(100,1),(143,1)}
        74:{2,4,6}:{(49,1),(51,1),(91,1),(98,1),(100,1)}
        75:{2,3,6}:{(50,1),(92,1),(99,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(54,1),(93,1),(100,1),(101,1),(102,1),(143,1)}
        77:{3,5,6}:{(53,1),(98,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(100,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(110,1)}
        85:{2,3,5,7}:{(60,1),(61,1),(65,1),(109,1),(111,1)}
        86:{2,3,5,6}:{(61,1),(62,1),(66,1),(106,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(116,1),(149,1)}
        90:{1,4,5,7}:{(64,1),(65,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(64,1),(66,1),(74,1),(110,1),(116,1)}
        92:{1,3,6}:{(65,1),(68,1),(75,1),(111,1),(115,1)}
        93:{1,3,5,7}:{(66,1),(67,1),(69,1),(76,1),(112,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(74,1),(113,1),(118,1),(119,1),(123,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,5,7}:{(72,1),(73,1),(121,1),(122,1),(157,1)}
        98:{3,4,6}:{(72,1),(74,1),(77,1),(122,1)}
        99:{2,4,6}:{(73,1),(75,1),(115,1),(121,1),(123,1)}
       100:{2,4,7}:{(74,1),(76,1),(116,1),(122,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(124,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(122,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(170,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(131,1)}
       109:{2,4,5,7}:{(84,1),(85,1),(90,1),(130,1),(132,1),(133,1),(163,1)}
       110:{2,4,6}:{(84,1),(86,1),(91,1),(131,1),(133,1)}
       111:{2,3,6}:{(85,1),(92,1),(132,1)}
       112:{2,3,5,7}:{(86,1),(87,1),(93,1),(129,1),(133,1),(134,1),(159,1),(163,1)}
       113:{1,4,5,6}:{(88,1),(91,1),(95,1),(128,1),(135,1),(137,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,6}:{(90,1),(92,1),(99,1),(132,1),(137,1)}
       116:{1,4,7}:{(91,1),(93,1),(100,1),(133,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(98,1),(139,1),(141,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(100,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,6}:{(97,1),(99,1),(141,1)}
       122:{3,4,7}:{(98,1),(100,1),(102,1)}
       123:{2,5,6}:{(99,1),(137,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(110,1),(113,1),(145,1),(146,1),(150,1),(169,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,5,7}:{(108,1),(109,1),(148,1),(149,1),(170,1)}
       131:{3,4,6}:{(108,1),(110,1),(145,1),(149,1)}
       132:{2,4,6}:{(109,1),(111,1),(115,1),(148,1),(150,1)}
       133:{2,4,7}:{(110,1),(112,1),(116,1),(149,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(151,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(116,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,5,6}:{(115,1),(123,1),(150,1),(153,1)}
       138:{1,4,6,7}:{(115,1),(116,1),(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(122,1),(154,1),(157,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,5,6}:{(121,1),(123,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(121,1),(122,1),(124,1),(125,1),(157,1),(158,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(157,1),(158,1)}
       145:{3,5,6}:{(128,1),(131,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(133,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,6}:{(130,1),(132,1),(161,1)}
       149:{3,4,7}:{(131,1),(133,1),(159,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(149,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(148,1),(150,1),(169,1),(170,1)}
       162:{3,4,6,7}:{(148,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(157,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1844 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1845 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1846 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1847 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(26,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(108,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(128,1),(161,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(90,1),(97,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(131,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(27,1),(71,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(26,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(108,1),(150,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(146,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(78,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(115,1),(120,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(12,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(90,1),(93,1)}
        26:{1,2,5}:{(12,1),(43,1)}
        27:{1,2,4,7}:{(12,1),(13,1),(44,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(45,1),(48,1),(49,1),(88,1),(90,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(90,1),(137,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(131,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,5}:{(18,1),(43,1),(54,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(56,1),(60,1),(103,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(108,1),(111,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,5}:{(25,1),(26,1),(33,1),(61,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(27,1),(34,1),(62,1),(67,1),(71,1),(115,1)}
        45:{1,2,5,6}:{(26,1),(29,1),(35,1),(66,1),(68,1),(69,1),(112,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(68,1),(71,1),(113,1),(115,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(78,1),(126,1),(156,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(115,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(168,1)}
        54:{2,4,5}:{(33,1),(65,1),(72,1),(78,1)}
        55:{2,3,5,6}:{(33,1),(35,1),(39,1),(66,1),(73,1),(78,1),(80,1),(81,1),(126,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(67,1),(79,1),(81,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(78,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,5}:{(41,1),(43,1),(85,1)}
        62:{2,3,4,7}:{(41,1),(44,1),(87,1),(89,1),(131,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(43,1),(54,1),(85,1),(90,1)}
        66:{1,3,5,6}:{(43,1),(45,1),(48,1),(55,1),(86,1),(90,1),(92,1),(93,1),(137,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(46,1),(56,1),(87,1),(91,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(49,1),(57,1),(92,1),(94,1),(134,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(90,1),(95,1),(96,1),(128,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(97,1)}
        73:{3,5,6}:{(50,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(103,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,6}:{(54,1),(55,1),(90,1),(97,1),(103,1)}
        79:{2,4,5,7}:{(54,1),(56,1),(91,1),(98,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,7}:{(55,1),(57,1),(60,1),(92,1),(99,1),(103,1),(105,1),(144,1)}
        81:{2,3,6}:{(56,1),(93,1),(104,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(103,1),(106,1)}
        85:{2,4,5}:{(61,1),(65,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(61,1),(64,1),(66,1),(108,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(109,1),(111,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,6}:{(65,1),(66,1),(78,1),(108,1),(115,1)}
        91:{1,4,5,7}:{(65,1),(67,1),(79,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(66,1),(68,1),(71,1),(80,1),(110,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(81,1),(111,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(115,1),(118,1),(146,1)}
        97:{3,4,6}:{(72,1),(73,1),(78,1),(120,1)}
        98:{3,4,5,7}:{(72,1),(79,1),(120,1),(121,1),(155,1)}
        99:{3,5,7}:{(73,1),(74,1),(120,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(78,1),(83,1),(114,1),(119,1),(124,1),(126,1)}
       103:{2,4,7}:{(78,1),(80,1),(115,1),(120,1)}
       104:{2,4,6}:{(79,1),(81,1),(116,1),(121,1),(126,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(125,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(128,1)}
       108:{2,4,6}:{(85,1),(86,1),(90,1),(128,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(87,1),(91,1),(129,1),(131,1),(132,1),(163,1)}
       110:{2,3,5,7}:{(86,1),(89,1),(92,1),(131,1),(133,1),(134,1),(159,1),(163,1)}
       111:{2,3,6}:{(87,1),(93,1),(132,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(90,1),(95,1),(102,1),(130,1),(135,1),(137,1)}
       115:{1,4,7}:{(90,1),(92,1),(103,1),(131,1)}
       116:{1,4,6}:{(91,1),(93,1),(104,1),(132,1),(137,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(136,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(97,1),(102,1),(139,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(103,1)}
       121:{3,4,6}:{(98,1),(104,1),(141,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(103,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(105,1),(136,1),(140,1),(144,1)}
       126:{2,5,6}:{(104,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1),(146,1)}
       129:{3,4,5,7}:{(107,1),(109,1),(146,1),(147,1),(168,1)}
       130:{2,4,5,6}:{(108,1),(112,1),(114,1),(145,1),(148,1),(150,1),(169,1)}
       131:{2,4,7}:{(108,1),(110,1),(115,1),(146,1)}
       132:{2,4,6}:{(109,1),(111,1),(116,1),(147,1),(150,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(149,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,4,6,7}:{(115,1),(116,1),(117,1),(125,1),(149,1),(153,1)}
       137:{1,5,6}:{(116,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(120,1),(124,1),(154,1),(155,1)}
       140:{3,4,6,7}:{(120,1),(121,1),(122,1),(125,1),(155,1),(157,1)}
       141:{3,5,6}:{(121,1),(126,1),(155,1),(156,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(155,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(155,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{3,4,7}:{(128,1),(131,1),(159,1)}
       147:{3,4,6}:{(129,1),(132,1),(161,1)}
       148:{2,4,5,7}:{(130,1),(131,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(133,1),(136,1),(160,1),(163,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{3,4,6,7}:{(146,1),(147,1),(149,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(147,1),(150,1),(168,1),(169,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(168,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1848 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1849 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1850 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(92,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(43,1),(49,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(70,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(112,1),(139,1),(143,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(25,1),(36,1),(62,1),(75,1),(105,1),(106,1),(112,1),(116,1),(118,1),(139,1),(143,1),(145,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(92,1),(94,1),(132,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(13,1),(14,1),(91,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(93,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(14,1),(18,1),(19,1),(43,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(156,1)}
        12:{1,3,5,6}:{(5,1),(16,1),(21,1),(22,1),(95,1),(124,1),(132,1),(138,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,4,5,7}:{(7,1),(10,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(11,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(12,1),(28,1),(29,1),(114,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{2,4,5,6}:{(10,1),(25,1),(31,1),(62,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(31,1)}
        20:{2,3,4,6,7}:{(11,1),(27,1),(33,1),(34,1),(66,1),(69,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        21:{1,3,4,6}:{(12,1),(28,1),(35,1),(36,1),(145,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(29,1),(36,1),(37,1),(62,1),(74,1),(104,1),(116,1),(119,1),(143,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(134,1)}
        25:{1,4,5,6}:{(14,1),(18,1),(38,1),(41,1),(84,1),(91,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(19,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(21,1),(45,1),(129,1),(134,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(22,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        32:{3,4,5,7}:{(19,1),(48,1),(50,1),(156,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(43,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(44,1),(51,1),(52,1),(88,1),(89,1),(91,1),(124,1),(129,1),(132,1),(134,1),(159,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(53,1),(95,1),(137,1),(160,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(45,1),(53,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(46,1),(55,1),(56,1),(84,1),(95,1),(98,1),(124,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(73,1),(99,1),(104,1),(115,1),(150,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(31,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(32,1),(35,1),(58,1),(61,1),(63,1),(71,1),(101,1),(107,1),(114,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(36,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(37,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,3,5,6}:{(31,1),(33,1),(62,1),(69,1),(70,1),(104,1)}
        50:{2,4,5,7}:{(32,1),(33,1),(69,1),(71,1),(142,1),(166,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(64,1),(70,1),(71,1),(72,1),(114,1),(169,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(110,1),(112,1),(115,1),(143,1),(168,1)}
        53:{2,4,5}:{(35,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        54:{2,3,4,6}:{(36,1),(66,1),(74,1),(76,1),(104,1),(119,1),(150,1),(153,1),(165,1),(168,1)}
        55:{1,4,6}:{(36,1),(37,1),(67,1),(75,1)}
        56:{1,2,5,6}:{(37,1),(68,1),(77,1),(116,1),(143,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(134,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(48,1),(78,1),(83,1),(91,1),(120,1),(124,1),(132,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(53,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(52,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(54,1),(85,1),(89,1),(131,1),(134,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(55,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(56,1),(90,1),(127,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,3,5,6}:{(49,1),(51,1),(84,1),(91,1),(92,1),(124,1),(132,1)}
        71:{1,4,5,7}:{(50,1),(51,1),(91,1),(93,1),(129,1),(160,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(88,1),(94,1),(131,1),(132,1),(158,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,4,5}:{(53,1),(55,1),(95,1),(164,1)}
        76:{1,3,4,6}:{(54,1),(55,1),(89,1),(95,1),(97,1),(98,1),(124,1),(137,1),(138,1),(164,1),(172,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(90,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(115,1),(151,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(74,1),(104,1),(107,1),(114,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(75,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(72,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(73,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(76,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(77,1),(110,1),(111,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,5,6}:{(70,1),(72,1),(112,1),(143,1)}
        93:{2,4,5,7}:{(71,1),(72,1),(112,1),(114,1),(115,1),(151,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(109,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(116,1),(174,1)}
        96:{1,2,4,5}:{(75,1),(77,1),(116,1),(117,1),(153,1)}
        97:{2,4,6}:{(76,1),(110,1),(116,1),(119,1),(143,1),(153,1)}
        98:{1,3,6}:{(77,1),(111,1),(117,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(132,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(92,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(95,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(93,1),(96,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(94,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(97,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(98,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{2,3,5,6}:{(92,1),(94,1),(126,1),(132,1),(133,1),(158,1),(163,1),(173,1)}
       114:{3,5,7}:{(93,1),(132,1),(134,1),(163,1)}
       115:{2,4,7}:{(94,1),(129,1),(133,1),(134,1)}
       116:{2,5}:{(95,1),(97,1)}
       117:{1,3,5}:{(96,1),(98,1),(136,1),(137,1)}
       118:{1,2,4,6}:{(97,1),(130,1),(135,1),(138,1),(157,1),(164,1),(172,1)}
       119:{2,3,6}:{(97,1),(98,1),(131,1),(136,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(112,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(113,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(116,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(114,1),(117,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(115,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(118,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(119,1),(149,1)}
       132:{3,6}:{(112,1),(114,1)}
       133:{2,4,6}:{(113,1),(115,1),(145,1),(150,1),(151,1)}
       134:{3,4,7}:{(114,1),(115,1),(150,1)}
       135:{1,2,5}:{(116,1),(118,1),(152,1),(174,1)}
       136:{2,3,5}:{(116,1),(117,1),(119,1),(152,1),(153,1)}
       137:{1,3,4}:{(117,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(149,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(132,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(133,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(135,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(137,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(138,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(133,1),(160,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(138,1),(164,1)}
       153:{2,4}:{(136,1),(137,1),(164,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(153,1),(168,1),(170,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(164,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1851 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(32,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(20,1),(21,1),(40,1),(45,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(20,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{1,2,4,5}:{(12,1),(31,1),(32,1),(60,1),(82,1),(90,1)}
        20:{2,4,6}:{(10,1),(12,1),(23,1),(33,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(11,1),(24,1),(34,1),(56,1),(62,1),(83,1)}
        22:{2,3,5}:{(12,1),(32,1),(33,1),(35,1)}
        23:{2,5,6}:{(13,1),(20,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(21,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(36,1),(45,1),(46,1),(66,1),(75,1)}
        32:{1,3,5}:{(19,1),(22,1),(44,1),(45,1),(47,1)}
        33:{2,3,6}:{(20,1),(22,1),(45,1),(49,1)}
        34:{2,4,7}:{(20,1),(21,1),(38,1),(49,1)}
        35:{2,3,4}:{(22,1),(47,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(33,1),(50,1),(52,1),(53,1),(63,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(34,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(90,1)}
        45:{1,3,6}:{(31,1),(32,1),(33,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(31,1),(34,1),(51,1),(62,1),(83,1),(91,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(52,1),(61,1),(63,1),(64,1),(93,1)}
        49:{2,3,7}:{(33,1),(34,1),(62,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(45,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(46,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(49,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(45,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(48,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        62:{1,3,7}:{(45,1),(46,1),(49,1),(76,1)}
        63:{2,3,5}:{(48,1),(69,1),(77,1)}
        64:{2,3,4,7}:{(48,1),(49,1),(70,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(62,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(63,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(61,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(62,1),(91,1)}
        77:{1,3,5}:{(61,1),(63,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1852 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1853 :   0:{1,2,3,5}:{(2,1),(3,1),(18,1),(21,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(27,1),(69,1)}
         2:{1,2,4}:{(0,1),(7,1)}
         3:{1,2,3,6}:{(0,1),(9,1),(10,1),(34,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(40,1),(43,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(18,1),(40,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(45,1),(88,1)}
         7:{1,3,4}:{(2,1),(13,1),(18,1)}
         8:{1,2,4,5}:{(2,1),(14,1),(18,1),(20,1),(21,1),(57,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(19,1),(21,1),(22,1),(60,1)}
        10:{1,2,3,7}:{(3,1),(22,1),(56,1)}
        11:{1,2,4}:{(4,1),(23,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(26,1),(61,1)}
        13:{2,3,4}:{(7,1),(23,1),(27,1)}
        14:{2,4,5}:{(5,1),(27,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(34,1),(61,1),(77,1),(102,1),(107,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(68,1),(108,1)}
        18:{1,3,5}:{(7,1),(8,1),(27,1),(34,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(28,1),(34,1),(35,1),(36,1),(77,1),(80,1)}
        20:{1,2,4,6}:{(8,1),(29,1),(34,1),(37,1),(38,1),(77,1)}
        21:{1,2,5}:{(9,1),(35,1)}
        22:{1,2,4,7}:{(9,1),(10,1),(36,1),(39,1)}
        23:{1,3,4}:{(11,1),(13,1),(40,1)}
        24:{1,2,4,5}:{(11,1),(14,1),(40,1),(42,1),(43,1),(84,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(41,1),(43,1),(44,1),(87,1)}
        26:{1,2,3,7}:{(12,1),(44,1),(83,1)}
        27:{2,3,5}:{(13,1),(14,1),(18,1),(40,1),(45,1)}
        28:{2,3,4,6}:{(13,1),(19,1),(41,1),(45,1),(46,1),(47,1),(88,1),(92,1)}
        29:{2,4,6}:{(14,1),(15,1),(45,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(56,1),(83,1),(99,1),(118,1),(121,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(88,1),(124,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,6}:{(18,1),(20,1),(45,1),(56,1)}
        35:{1,3,5}:{(19,1),(21,1),(46,1),(57,1)}
        36:{1,3,4,7}:{(19,1),(22,1),(47,1),(56,1),(58,1),(99,1)}
        37:{1,2,5,6}:{(20,1),(21,1),(48,1),(55,1),(59,1),(60,1)}
        38:{1,2,4,7}:{(20,1),(49,1),(56,1),(59,1),(99,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(58,1),(60,1)}
        40:{1,3,5}:{(23,1),(24,1),(27,1),(61,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(28,1),(61,1),(62,1),(63,1),(102,1),(105,1)}
        42:{1,2,4,6}:{(24,1),(29,1),(61,1),(64,1),(65,1),(102,1)}
        43:{1,2,5}:{(25,1),(62,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(63,1),(66,1)}
        45:{2,3,6}:{(27,1),(29,1),(34,1),(61,1),(68,1)}
        46:{2,3,5}:{(28,1),(35,1),(62,1),(69,1)}
        47:{2,3,4,7}:{(28,1),(36,1),(63,1),(68,1),(70,1),(108,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(68,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(77,1),(102,1),(117,1),(130,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(107,1),(133,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(108,1),(132,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,3,5,6}:{(34,1),(35,1),(37,1),(67,1),(77,1),(78,1),(80,1),(117,1)}
        56:{1,3,7}:{(34,1),(38,1),(68,1)}
        57:{1,4,5}:{(35,1),(69,1),(77,1)}
        58:{1,3,5,7}:{(35,1),(36,1),(39,1),(70,1),(79,1),(80,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(72,1),(78,1),(81,1)}
        60:{1,2,6}:{(39,1),(80,1)}
        61:{1,3,6}:{(40,1),(42,1),(45,1),(83,1)}
        62:{1,3,5}:{(41,1),(43,1),(46,1),(84,1)}
        63:{1,3,4,7}:{(41,1),(44,1),(47,1),(83,1),(85,1),(118,1)}
        64:{1,2,5,6}:{(42,1),(43,1),(48,1),(82,1),(86,1),(87,1)}
        65:{1,2,4,7}:{(42,1),(49,1),(83,1),(86,1),(118,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(85,1),(87,1)}
        67:{2,3,5,6}:{(45,1),(46,1),(48,1),(55,1),(82,1),(88,1),(89,1),(92,1),(93,1),(124,1)}
        68:{2,3,7}:{(45,1),(49,1),(56,1),(83,1)}
        69:{2,4,5}:{(46,1),(57,1),(84,1),(88,1),(90,1)}
        70:{2,3,5,7}:{(46,1),(47,1),(58,1),(85,1),(91,1),(92,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(88,1),(93,1),(94,1),(124,1),(137,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(99,1),(118,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(121,1),(136,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,6}:{(55,1),(57,1),(88,1),(99,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(99,1),(100,1),(128,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(91,1),(99,1),(101,1),(128,1)}
        80:{1,3,6}:{(58,1),(60,1),(92,1),(101,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(100,1)}
        82:{1,3,5,6}:{(61,1),(62,1),(64,1),(67,1),(102,1),(103,1),(105,1),(130,1)}
        83:{1,3,7}:{(61,1),(65,1),(68,1)}
        84:{1,4,5}:{(62,1),(69,1),(102,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(66,1),(70,1),(104,1),(105,1)}
        86:{1,2,5,7}:{(64,1),(65,1),(72,1),(103,1),(106,1)}
        87:{1,2,6}:{(66,1),(105,1)}
        88:{2,4,6}:{(67,1),(69,1),(77,1),(102,1),(107,1),(108,1)}
        89:{2,3,5,7}:{(67,1),(68,1),(72,1),(78,1),(103,1),(108,1),(109,1),(112,1),(132,1)}
        90:{3,4,5}:{(69,1),(107,1)}
        91:{2,4,5,7}:{(69,1),(70,1),(79,1),(104,1),(108,1),(110,1),(111,1),(132,1)}
        92:{2,3,6}:{(70,1),(80,1),(105,1),(111,1)}
        93:{3,5,6}:{(71,1),(107,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(108,1),(112,1),(113,1),(132,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(132,1)}
        99:{1,4,7}:{(77,1),(78,1),(108,1)}
       100:{1,3,6,7}:{(78,1),(80,1),(81,1),(109,1),(116,1)}
       101:{1,4,6}:{(79,1),(80,1),(111,1),(117,1)}
       102:{1,4,6}:{(82,1),(84,1),(88,1),(118,1)}
       103:{1,3,5,7}:{(82,1),(83,1),(86,1),(89,1),(118,1),(119,1),(135,1)}
       104:{1,4,5,7}:{(84,1),(85,1),(91,1),(118,1),(120,1),(135,1)}
       105:{1,3,6}:{(85,1),(87,1),(92,1),(120,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(119,1)}
       107:{3,4,6}:{(88,1),(90,1),(93,1),(121,1)}
       108:{2,4,7}:{(88,1),(89,1),(99,1),(118,1),(121,1)}
       109:{2,3,6,7}:{(89,1),(92,1),(95,1),(100,1),(119,1),(122,1),(125,1)}
       110:{3,4,5,7}:{(90,1),(91,1),(121,1),(123,1),(136,1)}
       111:{2,4,6}:{(91,1),(92,1),(101,1),(120,1),(123,1),(124,1)}
       112:{3,5,7}:{(93,1),(94,1),(121,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(136,1)}
       116:{1,4,6,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       117:{1,5,6}:{(101,1),(124,1),(128,1)}
       118:{1,4,7}:{(102,1),(103,1),(108,1)}
       119:{1,3,6,7}:{(103,1),(105,1),(106,1),(109,1),(129,1)}
       120:{1,4,6}:{(104,1),(105,1),(111,1),(130,1)}
       121:{3,4,7}:{(107,1),(108,1),(112,1)}
       122:{2,4,6,7}:{(108,1),(109,1),(111,1),(116,1),(129,1),(131,1),(132,1)}
       123:{3,4,6}:{(110,1),(111,1),(133,1)}
       124:{2,5,6}:{(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(132,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(132,1)}
       129:{1,4,6,7}:{(118,1),(119,1),(120,1),(122,1),(135,1)}
       130:{1,5,6}:{(120,1),(124,1),(135,1)}
       131:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(136,1),(138,1)}
       132:{2,5,7}:{(122,1),(124,1),(128,1),(135,1),(136,1)}
       133:{3,5,6}:{(123,1),(124,1),(136,1),(137,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(136,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(132,1)}
       136:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       137:{4,5,6}:{(133,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

1854 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(40,1),(43,1),(76,1),(83,1),(89,1),(90,1),(141,1),(181,1),(189,1),(220,1),(221,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(108,1),(118,1),(162,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(64,1),(66,1),(104,1),(112,1),(162,1),(170,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(57,1),(105,1),(111,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(44,1),(79,1),(133,1),(140,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(226,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(45,1),(90,1),(141,1),(189,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(192,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(35,1),(81,1),(83,1),(88,1),(89,1),(141,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(70,1),(102,1),(122,1),(156,1),(167,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(54,1),(58,1),(66,1),(102,1),(110,1),(167,1),(171,1),(209,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(57,1),(121,1),(233,1),(236,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(166,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(206,1),(212,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(111,1),(209,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(66,1),(112,1),(117,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(57,1),(69,1),(111,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(48,1),(74,1),(93,1),(140,1),(150,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(189,1),(218,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(32,1),(36,1),(37,1),(139,1),(189,1),(193,1)}
        21:{2,3,4,6}:{(14,1),(35,1),(38,1),(39,1),(81,1),(88,1),(143,1),(191,1),(226,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(82,1),(84,1),(144,1),(149,1),(192,1),(195,1)}
        23:{2,4,5}:{(11,1),(14,1),(35,1),(43,1),(83,1),(143,1)}
        24:{1,4,5,7}:{(12,1),(36,1),(40,1),(44,1),(133,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(37,1),(41,1),(44,1),(45,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,4,6}:{(14,1),(17,1),(43,1),(46,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(45,1),(48,1),(81,1),(141,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(46,1),(48,1),(49,1),(93,1),(95,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(83,1),(141,1)}
        31:{1,2,4,5,6}:{(33,1),(50,1),(73,1),(97,1),(129,1),(147,1),(152,1),(180,1),(189,1),(194,1),(196,1),(198,1),(218,1),(227,1),(244,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(166,1),(174,1)}
        33:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(53,1),(102,1),(106,1),(122,1),(161,1),(170,1),(174,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(209,1)}
        35:{2,3,5}:{(21,1),(23,1),(57,1),(211,1),(236,1)}
        36:{2,4,5,7}:{(20,1),(24,1),(51,1),(55,1),(58,1),(66,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(58,1),(109,1),(209,1),(212,1)}
        38:{2,3,4,7}:{(21,1),(26,1),(56,1),(60,1),(117,1),(169,1),(212,1)}
        39:{1,3,4,6}:{(21,1),(27,1),(57,1),(60,1),(61,1),(69,1),(105,1),(111,1),(121,1),(159,1),(203,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(62,1),(156,1),(166,1),(213,1)}
        41:{1,3,4,6}:{(22,1),(62,1),(63,1),(109,1),(111,1),(166,1),(209,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(26,1),(56,1),(63,1),(64,1),(66,1),(112,1),(169,1),(211,1)}
        43:{1,4,5}:{(23,1),(27,1),(57,1),(159,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(58,1),(62,1),(66,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,4,6}:{(27,1),(30,1),(61,1),(65,1),(68,1),(69,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(67,1),(70,1),(111,1)}
        49:{1,2,5,7}:{(29,1),(30,1),(68,1),(70,1),(112,1)}
        50:{1,3,5,6}:{(31,1),(53,1),(71,1),(72,1),(175,1),(200,1),(209,1),(217,1),(236,1)}
        51:{1,4,5,7}:{(32,1),(36,1),(73,1),(74,1),(93,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(37,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(50,1),(77,1),(78,1),(192,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{2,4,5,6}:{(36,1),(40,1),(73,1),(80,1),(89,1),(129,1),(139,1),(189,1),(227,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(42,1),(81,1),(82,1),(192,1)}
        57:{1,3,5}:{(35,1),(39,1),(43,1),(83,1),(221,1)}
        58:{3,5,7}:{(36,1),(37,1),(80,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(45,1),(75,1),(81,1),(85,1),(86,1),(136,1),(139,1),(146,1),(179,1),(191,1),(193,1),(226,1),(239,1)}
        60:{1,3,4,7}:{(38,1),(39,1),(46,1),(82,1),(87,1),(95,1),(135,1),(183,1)}
        61:{2,4,6}:{(39,1),(83,1),(87,1),(88,1),(141,1),(143,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(80,1),(89,1),(195,1)}
        63:{2,4,6}:{(41,1),(42,1),(81,1),(89,1),(90,1),(141,1)}
        64:{1,4,5,7}:{(42,1),(43,1),(46,1),(82,1),(90,1),(93,1),(183,1),(221,1)}
        65:{1,2,4,5}:{(43,1),(47,1),(83,1),(92,1),(143,1)}
        66:{2,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{1,4,6,7}:{(45,1),(46,1),(48,1),(90,1),(93,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(87,1),(95,1)}
        69:{1,3,6}:{(47,1),(88,1),(92,1),(95,1)}
        70:{1,2,6,7}:{(48,1),(49,1),(141,1)}
        71:{1,3,4,6}:{(50,1),(77,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(78,1),(97,1),(98,1),(129,1),(151,1),(179,1),(196,1),(199,1),(218,1)}
        73:{1,4,5,6}:{(51,1),(55,1),(99,1),(118,1),(166,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(58,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(61,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(71,1),(106,1),(174,1),(212,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(72,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{3,5,6}:{(55,1),(58,1),(109,1),(209,1),(236,1)}
        81:{2,3,6}:{(56,1),(63,1),(111,1),(209,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(60,1),(64,1),(111,1),(112,1)}
        83:{2,5}:{(57,1),(61,1)}
        84:{3,4,5,7}:{(58,1),(109,1),(114,1),(212,1),(236,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(66,1),(102,1),(110,1),(114,1),(115,1),(211,1),(236,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(60,1),(67,1),(103,1),(111,1),(115,1),(116,1),(123,1),(163,1),(164,1),(166,1),(173,1),(174,1),(200,1),(203,1),(206,1),(209,1),(212,1),(232,1),(242,1)}
        87:{2,4,7}:{(60,1),(61,1),(112,1),(117,1)}
        88:{2,3,6}:{(61,1),(69,1),(105,1),(113,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(211,1)}
        90:{1,4,6}:{(63,1),(64,1),(111,1),(118,1)}
        91:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(112,1),(119,1),(120,1),(122,1),(169,1),(170,1),(174,1),(211,1),(213,1)}
        92:{1,3,5}:{(65,1),(69,1),(113,1),(121,1)}
        93:{1,5,7}:{(66,1),(67,1),(118,1)}
        94:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(116,1),(119,1),(122,1),(123,1),(174,1),(207,1),(230,1),(242,1)}
        95:{1,3,7}:{(68,1),(69,1),(117,1)}
        96:{1,3,4,5}:{(71,1),(124,1),(175,1),(213,1),(216,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(106,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(107,1),(126,1),(127,1),(156,1),(175,1),(178,1),(200,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(80,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(83,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(84,1),(96,1),(128,1),(132,1),(144,1),(184,1),(192,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(87,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(88,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(97,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(98,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{3,4,6}:{(80,1),(84,1),(139,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(179,1)}
       111:{1,3,6}:{(81,1),(82,1),(90,1),(141,1)}
       112:{2,5,7}:{(82,1),(83,1),(87,1),(141,1)}
       113:{2,3,5}:{(83,1),(88,1),(92,1),(131,1),(143,1)}
       114:{2,4,5,7}:{(84,1),(85,1),(139,1),(144,1),(193,1),(227,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(93,1),(133,1),(140,1),(144,1),(145,1),(192,1),(195,1),(221,1),(240,1),(244,1)}
       116:{2,4,6,7}:{(86,1),(87,1),(141,1),(145,1),(146,1),(187,1),(189,1),(191,1),(193,1),(218,1),(239,1)}
       117:{2,3,7}:{(87,1),(88,1),(95,1),(135,1)}
       118:{1,5,6}:{(89,1),(90,1),(93,1),(221,1)}
       119:{1,2,4,6}:{(90,1),(91,1),(141,1),(147,1),(148,1),(189,1),(191,1),(194,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(142,1),(148,1),(149,1),(192,1),(195,1)}
       121:{1,3,4}:{(92,1),(143,1)}
       122:{1,2,5,7}:{(93,1),(94,1),(145,1),(147,1),(150,1),(244,1)}
       123:{1,3,6,7}:{(94,1),(95,1),(146,1),(148,1),(150,1),(225,1),(238,1)}
       124:{2,4,5}:{(96,1),(97,1),(151,1),(152,1),(196,1),(229,1)}
       125:{2,3,4,6}:{(97,1),(136,1),(151,1),(153,1),(179,1),(199,1),(226,1),(229,1),(239,1)}
       126:{1,4,6}:{(97,1),(98,1),(137,1),(152,1)}
       127:{1,2,5,6}:{(98,1),(138,1),(154,1),(196,1),(218,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(109,1),(155,1),(166,1),(200,1),(209,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(112,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(113,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(124,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(116,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(117,1)}
       136:{2,3,4,7}:{(106,1),(125,1),(160,1),(164,1),(208,1),(212,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(126,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(127,1),(165,1),(204,1)}
       139:{2,4,6}:{(109,1),(110,1),(114,1),(166,1)}
       140:{1,3,5,6}:{(110,1),(111,1),(115,1),(118,1),(156,1),(166,1),(167,1),(200,1),(209,1)}
       141:{2,6}:{(111,1),(112,1)}
       142:{2,3,5,7}:{(112,1),(113,1),(117,1),(120,1),(158,1),(168,1),(169,1),(211,1)}
       143:{2,4}:{(113,1),(121,1),(159,1)}
       144:{1,4,5,7}:{(114,1),(115,1),(166,1),(170,1),(174,1),(206,1),(213,1),(233,1)}
       145:{2,5,7}:{(115,1),(116,1),(167,1),(211,1),(243,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(163,1),(168,1),(171,1),(208,1),(209,1),(231,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(122,1),(167,1),(172,1),(211,1),(230,1)}
       148:{1,3,6}:{(119,1),(120,1),(168,1),(209,1)}
       149:{1,3,4,7}:{(120,1),(121,1),(169,1),(173,1),(174,1),(212,1)}
       150:{1,3,5,7}:{(122,1),(123,1),(171,1),(172,1),(174,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,4,5}:{(124,1),(126,1),(175,1),(237,1)}
       153:{1,3,4,6}:{(125,1),(126,1),(164,1),(175,1),(177,1),(178,1),(200,1),(216,1),(217,1),(237,1),(242,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(165,1),(176,1),(177,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(141,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(142,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(143,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(151,1),(179,1),(184,1),(192,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(152,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(145,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(146,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(153,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(154,1),(187,1),(188,1)}
       166:{1,4,6}:{(139,1),(140,1),(144,1),(189,1)}
       167:{2,5,6}:{(140,1),(141,1),(145,1),(189,1),(218,1)}
       168:{2,3,6}:{(141,1),(142,1),(148,1),(182,1),(191,1)}
       169:{2,4,7}:{(142,1),(143,1),(149,1),(183,1),(191,1)}
       170:{2,4,5,7}:{(144,1),(145,1),(189,1),(192,1),(193,1),(227,1)}
       171:{2,3,5,7}:{(145,1),(146,1),(150,1),(186,1),(190,1),(192,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(150,1),(190,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(191,1),(194,1),(195,1),(226,1)}
       174:{1,4,7}:{(150,1),(193,1),(194,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(196,1),(244,1)}
       176:{1,2,4,5}:{(152,1),(154,1),(196,1),(197,1),(229,1)}
       177:{2,4,6}:{(153,1),(187,1),(196,1),(199,1),(218,1),(229,1)}
       178:{1,3,6}:{(154,1),(188,1),(197,1),(199,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(209,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(167,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(168,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(169,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(175,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(170,1),(176,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(171,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(177,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(178,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(209,1)}
       190:{2,3,5,6}:{(167,1),(168,1),(171,1),(172,1),(202,1),(209,1),(210,1),(211,1),(231,1),(236,1),(243,1)}
       191:{2,4,6}:{(168,1),(169,1),(173,1),(203,1),(211,1)}
       192:{3,5,7}:{(170,1),(209,1),(212,1),(236,1)}
       193:{2,4,7}:{(171,1),(174,1),(206,1),(210,1),(212,1)}
       194:{1,4,6}:{(172,1),(174,1),(210,1),(213,1)}
       195:{1,3,5}:{(173,1),(211,1),(213,1),(236,1)}
       196:{2,5}:{(175,1),(177,1)}
       197:{1,3,5}:{(176,1),(178,1),(215,1),(216,1)}
       198:{1,2,4,6}:{(177,1),(207,1),(214,1),(217,1),(230,1),(237,1),(242,1)}
       199:{2,3,6}:{(177,1),(178,1),(208,1),(215,1),(217,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(189,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(190,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(191,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(196,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(192,1),(197,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(193,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(198,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(199,1),(225,1)}
       209:{3,6}:{(189,1),(192,1)}
       210:{2,4,6}:{(190,1),(193,1),(194,1),(220,1),(226,1),(227,1)}
       211:{2,5}:{(191,1),(195,1),(221,1)}
       212:{3,4,7}:{(192,1),(193,1),(226,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(198,1),(228,1),(244,1)}
       215:{2,3,5}:{(196,1),(197,1),(199,1),(228,1),(229,1)}
       216:{1,3,4}:{(197,1),(229,1)}
       217:{1,3,6}:{(198,1),(199,1),(225,1),(228,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(209,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(210,1),(233,1)}
       221:{1,5}:{(203,1),(211,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(214,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(215,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(212,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(217,1)}
       226:{3,4,6}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4,5}:{(210,1),(211,1),(213,1),(233,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(217,1),(237,1)}
       229:{2,4}:{(215,1),(216,1),(237,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(226,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(227,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(228,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(229,1),(239,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(236,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(237,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1855 :   0:{1,2,5,6,7}:{(1,1),(2,1),(46,1),(86,1),(97,1),(141,1),(150,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(60,1),(111,1),(121,1),(170,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(126,1),(177,1),(181,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(26,1),(33,1),(69,1),(77,1),(126,1),(133,1),(135,1),(167,1),(177,1),(181,1),(214,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(82,1),(100,1),(138,1),(150,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(46,1),(82,1),(92,1),(150,1),(152,1),(202,1)}
         6:{1,4,6,7}:{(1,1),(13,1),(14,1),(149,1),(195,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(46,1),(48,1),(99,1),(141,1),(151,1),(156,1),(159,1),(195,1)}
         8:{1,3,6,7}:{(2,1),(16,1),(17,1),(153,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1),(19,1),(104,1),(153,1),(164,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(22,1),(31,1),(56,1),(71,1),(121,1),(130,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(57,1),(166,1),(177,1),(212,1)}
        12:{1,2,4,5,6}:{(21,1),(23,1),(55,1),(62,1),(109,1),(117,1),(127,1),(166,1),(173,1),(175,1),(177,1),(183,1),(212,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,4,5,7}:{(6,1),(24,1),(26,1),(27,1),(111,1)}
        15:{1,3,4,6,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(30,1),(179,1),(187,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(30,1),(31,1),(125,1),(181,1)}
        18:{1,3,4,6}:{(9,1),(29,1),(32,1),(33,1),(214,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(34,1),(69,1),(76,1),(125,1),(133,1),(136,1),(181,1)}
        20:{1,4,6,7}:{(10,1),(13,1),(35,1),(149,1),(158,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(82,1),(84,1),(100,1),(140,1),(151,1),(158,1),(193,1),(196,1)}
        22:{1,3,6,7}:{(11,1),(37,1),(38,1),(190,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(37,1),(39,1),(40,1),(145,1),(190,1),(201,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(14,1),(35,1),(41,1),(42,1),(46,1),(82,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(204,1)}
        26:{1,4,5,6}:{(14,1),(41,1),(44,1),(138,1),(149,1),(208,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(42,1),(44,1),(46,1)}
        28:{2,4,6,7}:{(15,1),(17,1),(46,1),(47,1),(48,1),(96,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(48,1),(195,1),(204,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(48,1),(49,1),(156,1),(160,1)}
        31:{1,3,6,7}:{(17,1),(47,1),(49,1),(50,1),(153,1)}
        32:{1,3,4,5}:{(18,1),(51,1),(104,1),(163,1),(230,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(48,1),(51,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(49,1),(53,1),(54,1),(97,1),(104,1),(107,1),(153,1)}
        35:{1,4,5,7}:{(20,1),(24,1),(55,1),(56,1),(71,1)}
        36:{1,3,4,6,7}:{(20,1),(22,1),(25,1),(56,1),(57,1),(58,1),(108,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(23,1),(58,1),(59,1),(179,1),(218,1)}
        38:{2,3,6,7}:{(22,1),(57,1),(59,1),(60,1),(165,1),(212,1)}
        39:{1,3,4,6}:{(23,1),(58,1),(61,1),(62,1),(183,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(62,1),(63,1),(109,1),(116,1),(165,1),(173,1),(176,1),(212,1)}
        41:{2,4,5,6}:{(24,1),(26,1),(55,1),(64,1),(69,1),(109,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(64,1)}
        43:{2,3,4,6,7}:{(25,1),(28,1),(57,1),(66,1),(67,1),(73,1),(113,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(224,1),(238,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(64,1),(68,1),(69,1),(225,1)}
        45:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(65,1),(68,1),(70,1),(122,1),(128,1),(179,1),(186,1),(225,1)}
        46:{2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        47:{1,4,6,7}:{(28,1),(31,1),(71,1),(74,1),(126,1)}
        48:{2,4,7}:{(29,1),(30,1),(33,1),(74,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(34,1),(71,1),(74,1),(75,1),(132,1)}
        50:{1,2,6,7}:{(31,1),(75,1),(181,1)}
        51:{2,4,5}:{(32,1),(33,1),(76,1),(77,1),(133,1),(189,1)}
        52:{2,3,4,6}:{(33,1),(73,1),(76,1),(78,1),(125,1),(136,1),(189,1),(221,1),(224,1)}
        53:{1,4,6}:{(33,1),(34,1),(74,1),(77,1)}
        54:{1,2,5,6}:{(34,1),(75,1),(79,1),(133,1),(181,1)}
        55:{1,4,5,6}:{(35,1),(41,1),(80,1),(97,1),(149,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(42,1),(80,1),(82,1)}
        57:{2,4,6,7}:{(36,1),(38,1),(82,1),(83,1),(84,1),(137,1)}
        58:{1,3,4,7}:{(37,1),(39,1),(84,1),(158,1),(204,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(40,1),(82,1),(84,1),(85,1),(193,1),(197,1)}
        60:{1,3,6,7}:{(38,1),(83,1),(85,1),(86,1),(190,1)}
        61:{1,3,4,5}:{(39,1),(87,1),(145,1),(200,1),(208,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(84,1),(87,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(85,1),(89,1),(90,1),(138,1),(145,1),(148,1),(190,1)}
        64:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        65:{3,4,5,7}:{(42,1),(91,1),(93,1),(204,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(46,1),(82,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(47,1),(83,1),(94,1),(95,1),(101,1),(102,1),(142,1),(143,1),(149,1),(153,1),(158,1),(190,1),(195,1),(202,1),(204,1),(207,1),(229,1),(235,1),(242,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(91,1),(96,1),(149,1),(153,1),(202,1)}
        69:{2,5,6}:{(44,1),(46,1),(96,1),(97,1),(236,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(48,1),(51,1),(96,1),(98,1),(99,1),(156,1),(210,1),(236,1)}
        71:{1,5,7}:{(46,1),(47,1),(97,1)}
        72:{1,2,4,6,7}:{(47,1),(50,1),(95,1),(100,1),(101,1),(103,1),(154,1),(158,1),(196,1),(227,1),(242,1)}
        73:{2,3,4,7}:{(48,1),(52,1),(98,1),(102,1),(160,1),(204,1),(210,1)}
        74:{1,4,7}:{(48,1),(49,1),(53,1)}
        75:{1,2,5,7}:{(49,1),(50,1),(54,1),(103,1),(156,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,4,5}:{(51,1),(53,1),(104,1),(211,1)}
        78:{1,3,4,6}:{(52,1),(53,1),(102,1),(104,1),(106,1),(107,1),(153,1),(163,1),(164,1),(211,1),(235,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(103,1),(105,1),(106,1),(107,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(109,1),(239,1)}
        81:{1,3,4,5,7}:{(56,1),(58,1),(61,1),(65,1),(108,1),(110,1),(122,1),(168,1),(179,1),(217,1),(239,1)}
        82:{2,5,7}:{(56,1),(57,1),(109,1),(111,1)}
        83:{1,4,6,7}:{(57,1),(60,1),(111,1),(114,1),(166,1)}
        84:{2,4,7}:{(58,1),(59,1),(62,1),(114,1)}
        85:{1,3,5,7}:{(59,1),(60,1),(63,1),(111,1),(114,1),(115,1),(172,1)}
        86:{1,2,6,7}:{(60,1),(115,1),(212,1)}
        87:{2,4,5}:{(61,1),(62,1),(116,1),(117,1),(173,1),(220,1)}
        88:{2,3,4,6}:{(62,1),(113,1),(116,1),(118,1),(165,1),(176,1),(220,1),(221,1),(238,1)}
        89:{1,4,6}:{(62,1),(63,1),(114,1),(117,1)}
        90:{1,2,5,6}:{(63,1),(115,1),(119,1),(173,1),(212,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,3,5,6}:{(64,1),(66,1),(69,1),(109,1),(120,1),(121,1),(125,1),(165,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(120,1),(122,1),(180,1),(222,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(71,1),(111,1),(121,1),(122,1),(123,1),(179,1),(225,1),(239,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(131,1),(171,1),(177,1),(180,1),(181,1),(212,1),(224,1),(238,1)}
        96:{2,4,6}:{(68,1),(69,1),(70,1),(125,1),(126,1),(181,1)}
        97:{1,5,6}:{(69,1),(71,1),(126,1),(241,1)}
        98:{2,3,5,7}:{(70,1),(73,1),(76,1),(125,1),(128,1),(179,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(77,1),(126,1),(128,1),(226,1),(241,1)}
       100:{1,2,5,7}:{(71,1),(72,1),(123,1),(127,1),(130,1),(244,1)}
       101:{1,3,6,7}:{(72,1),(124,1),(130,1),(132,1),(182,1),(218,1),(237,1)}
       102:{1,3,4,7}:{(73,1),(74,1),(78,1),(128,1),(131,1),(132,1),(187,1),(226,1)}
       103:{1,2,4,7}:{(74,1),(75,1),(79,1),(131,1),(132,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(133,1),(241,1)}
       105:{1,2,4,5}:{(77,1),(79,1),(133,1),(134,1),(189,1)}
       106:{2,4,6}:{(78,1),(131,1),(133,1),(136,1),(181,1),(189,1)}
       107:{1,3,6}:{(79,1),(132,1),(134,1),(136,1)}
       108:{1,3,4,6}:{(80,1),(81,1),(91,1),(137,1),(149,1),(190,1),(202,1)}
       109:{2,5,6}:{(80,1),(82,1),(137,1),(138,1),(243,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(84,1),(87,1),(137,1),(139,1),(140,1),(193,1),(232,1),(243,1)}
       111:{1,5,7}:{(82,1),(83,1),(138,1)}
       112:{1,2,4,6,7}:{(83,1),(86,1),(95,1),(141,1),(142,1),(144,1),(159,1),(191,1),(195,1),(205,1),(235,1)}
       113:{2,3,4,7}:{(84,1),(88,1),(139,1),(143,1),(197,1),(204,1),(232,1)}
       114:{1,4,7}:{(84,1),(85,1),(89,1)}
       115:{1,2,5,7}:{(85,1),(86,1),(90,1),(144,1),(193,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,4,5}:{(87,1),(89,1),(145,1),(233,1)}
       118:{1,3,4,6}:{(88,1),(89,1),(143,1),(145,1),(147,1),(148,1),(190,1),(200,1),(201,1),(233,1),(242,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(144,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(94,1),(97,1),(138,1),(149,1),(150,1),(153,1),(190,1),(202,1)}
       122:{1,4,5,7}:{(93,1),(94,1),(149,1),(151,1),(158,1),(195,1),(208,1),(230,1)}
       123:{2,5,7}:{(94,1),(95,1),(150,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(101,1),(142,1),(152,1),(160,1),(197,1),(202,1),(206,1),(228,1)}
       125:{2,3,6}:{(96,1),(98,1),(153,1),(202,1)}
       126:{1,4,6}:{(96,1),(97,1),(99,1),(153,1)}
       127:{1,2,5,6}:{(97,1),(100,1),(150,1),(154,1),(155,1),(227,1),(236,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(102,1),(104,1),(153,1),(156,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(151,1),(154,1),(156,1),(157,1),(158,1),(208,1),(210,1),(236,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(152,1),(155,1),(158,1)}
       131:{2,4,7}:{(102,1),(106,1),(156,1),(160,1)}
       132:{1,3,7}:{(103,1),(107,1),(160,1)}
       133:{2,5}:{(104,1),(106,1)}
       134:{1,3,5}:{(105,1),(107,1),(162,1),(163,1)}
       135:{1,2,4,6}:{(106,1),(159,1),(161,1),(164,1),(205,1),(211,1),(235,1)}
       136:{2,3,6}:{(106,1),(107,1),(160,1),(162,1),(164,1)}
       137:{2,4,6}:{(108,1),(109,1),(110,1),(165,1),(166,1),(212,1)}
       138:{1,5,6}:{(109,1),(111,1),(166,1),(244,1)}
       139:{2,3,5,7}:{(110,1),(113,1),(116,1),(165,1),(168,1),(179,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(117,1),(166,1),(168,1),(240,1),(244,1)}
       141:{1,2,5,7}:{(111,1),(112,1),(123,1),(167,1),(170,1),(241,1)}
       142:{1,3,6,7}:{(112,1),(124,1),(170,1),(172,1),(187,1),(213,1),(223,1)}
       143:{1,3,4,7}:{(113,1),(114,1),(118,1),(168,1),(171,1),(172,1),(218,1),(240,1)}
       144:{1,2,4,7}:{(114,1),(115,1),(119,1),(171,1),(172,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(173,1),(244,1)}
       146:{1,2,4,5}:{(117,1),(119,1),(173,1),(174,1),(220,1)}
       147:{2,4,6}:{(118,1),(171,1),(173,1),(176,1),(212,1),(220,1)}
       148:{1,3,6}:{(119,1),(172,1),(174,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,5,6}:{(121,1),(123,1),(177,1),(181,1),(212,1)}
       151:{2,4,5,7}:{(122,1),(123,1),(177,1),(179,1),(180,1),(222,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(130,1),(170,1),(178,1),(179,1),(180,1)}
       153:{1,3,6}:{(125,1),(126,1),(128,1),(181,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(129,1),(177,1),(181,1),(182,1),(183,1),(224,1)}
       155:{1,3,5,6}:{(127,1),(130,1),(178,1),(182,1),(183,1),(225,1),(237,1),(244,1)}
       156:{2,5,7}:{(128,1),(131,1),(133,1),(181,1)}
       157:{1,3,5,7}:{(129,1),(132,1),(134,1),(179,1),(182,1),(185,1),(186,1),(225,1)}
       158:{1,4,7}:{(130,1),(180,1),(183,1)}
       159:{1,2,4,7}:{(131,1),(135,1),(184,1),(187,1),(226,1)}
       160:{2,3,7}:{(131,1),(132,1),(136,1),(187,1)}
       161:{1,2,5}:{(133,1),(135,1),(188,1),(241,1)}
       162:{2,3,5}:{(133,1),(134,1),(136,1),(188,1),(189,1)}
       163:{1,3,4}:{(134,1),(189,1)}
       164:{1,3,6}:{(135,1),(136,1),(187,1),(188,1)}
       165:{2,3,6}:{(137,1),(139,1),(190,1),(202,1)}
       166:{1,4,6}:{(137,1),(138,1),(140,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(141,1),(150,1),(191,1),(192,1),(205,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(143,1),(145,1),(190,1),(193,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(144,1),(146,1),(151,1),(191,1),(193,1),(194,1),(195,1),(230,1),(232,1),(243,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(152,1),(192,1),(195,1)}
       171:{2,4,7}:{(143,1),(147,1),(193,1),(197,1)}
       172:{1,3,7}:{(144,1),(148,1),(197,1)}
       173:{2,5}:{(145,1),(147,1)}
       174:{1,3,5}:{(146,1),(148,1),(199,1),(200,1)}
       175:{1,2,4,6}:{(147,1),(196,1),(198,1),(201,1),(227,1),(233,1),(242,1)}
       176:{2,3,6}:{(147,1),(148,1),(197,1),(199,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{2,3,5,6}:{(150,1),(152,1),(155,1),(192,1),(202,1),(203,1),(206,1),(228,1),(234,1),(236,1),(243,1)}
       179:{3,5,7}:{(151,1),(202,1),(204,1),(234,1)}
       180:{2,4,7}:{(152,1),(158,1),(195,1),(203,1),(204,1)}
       181:{2,6}:{(153,1),(156,1)}
       182:{1,3,6}:{(154,1),(157,1),(202,1),(206,1)}
       183:{1,4,6}:{(155,1),(158,1),(203,1),(208,1)}
       184:{1,2,5,7}:{(156,1),(159,1),(161,1),(205,1),(209,1)}
       185:{2,3,5,7}:{(156,1),(157,1),(160,1),(162,1),(206,1),(209,1),(210,1),(236,1)}
       186:{1,3,4,7}:{(157,1),(158,1),(163,1),(204,1),(207,1),(210,1)}
       187:{1,3,7}:{(159,1),(160,1),(164,1)}
       188:{1,3,5}:{(161,1),(162,1),(164,1),(211,1)}
       189:{2,4}:{(162,1),(163,1),(211,1)}
       190:{1,3,6}:{(165,1),(166,1),(168,1),(212,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(169,1),(177,1),(212,1),(213,1),(214,1),(238,1)}
       192:{1,3,5,6}:{(167,1),(170,1),(178,1),(213,1),(214,1),(223,1),(239,1),(241,1)}
       193:{2,5,7}:{(168,1),(171,1),(173,1),(212,1)}
       194:{1,3,5,7}:{(169,1),(172,1),(174,1),(179,1),(213,1),(216,1),(217,1),(239,1)}
       195:{1,4,7}:{(170,1),(180,1),(214,1)}
       196:{1,2,4,7}:{(171,1),(175,1),(215,1),(218,1),(240,1)}
       197:{2,3,7}:{(171,1),(172,1),(176,1),(218,1)}
       198:{1,2,5}:{(173,1),(175,1),(219,1),(244,1)}
       199:{2,3,5}:{(173,1),(174,1),(176,1),(219,1),(220,1)}
       200:{1,3,4}:{(174,1),(220,1)}
       201:{1,3,6}:{(175,1),(176,1),(218,1),(219,1)}
       202:{3,6}:{(177,1),(179,1)}
       203:{2,4,6}:{(178,1),(180,1),(183,1),(214,1),(221,1),(222,1)}
       204:{3,4,7}:{(179,1),(180,1),(221,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{2,3,6}:{(181,1),(182,1),(185,1),(223,1),(224,1)}
       207:{1,3,4,6}:{(182,1),(183,1),(186,1),(221,1),(224,1),(225,1)}
       208:{1,4,5}:{(183,1),(222,1),(225,1),(244,1)}
       209:{1,3,5,7}:{(184,1),(185,1),(187,1),(188,1),(223,1),(226,1),(241,1)}
       210:{2,4,7}:{(185,1),(186,1),(189,1),(224,1),(226,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{2,6}:{(190,1),(193,1)}
       213:{1,3,6}:{(191,1),(194,1),(202,1),(228,1)}
       214:{1,4,6}:{(192,1),(195,1),(203,1),(230,1)}
       215:{1,2,5,7}:{(193,1),(196,1),(198,1),(227,1),(231,1)}
       216:{2,3,5,7}:{(193,1),(194,1),(197,1),(199,1),(228,1),(231,1),(232,1),(243,1)}
       217:{1,3,4,7}:{(194,1),(195,1),(200,1),(204,1),(229,1),(232,1)}
       218:{1,3,7}:{(196,1),(197,1),(201,1)}
       219:{1,3,5}:{(198,1),(199,1),(201,1),(233,1)}
       220:{2,4}:{(199,1),(200,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(203,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(209,1),(235,1)}
       224:{2,4,6}:{(206,1),(207,1),(210,1),(235,1),(236,1)}
       225:{1,3,5}:{(207,1),(208,1),(234,1),(236,1)}
       226:{1,4,7}:{(209,1),(210,1),(211,1),(235,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{2,3,6}:{(212,1),(213,1),(216,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(213,1),(214,1),(217,1),(221,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(222,1),(239,1),(241,1)}
       231:{1,3,5,7}:{(215,1),(216,1),(218,1),(219,1),(237,1),(240,1),(244,1)}
       232:{2,4,7}:{(216,1),(217,1),(220,1),(238,1),(240,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(226,1),(241,1)}
       236:{2,5}:{(224,1),(225,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(231,1),(242,1)}
       238:{2,4,6}:{(228,1),(229,1),(232,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(234,1),(243,1)}
       240:{1,4,7}:{(231,1),(232,1),(233,1),(242,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1856 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1857 :   0:{1,2,3,6,7}:{(2,1),(3,1),(47,1),(111,1),(175,1),(180,1),(386,1),(420,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(47,1),(51,1),(91,1),(180,1),(272,1),(303,1),(309,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(25,1),(79,1),(332,1),(368,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(151,1),(235,1),(241,1),(355,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(71,1),(135,1),(465,1)}
         5:{1,3,4,6,7}:{(3,1),(10,1),(11,1),(12,1),(39,1),(47,1),(176,1),(297,1),(302,1),(308,1),(420,1),(501,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(12,1),(108,1),(501,1)}
         7:{1,2,5,7}:{(3,1),(11,1),(14,1),(202,1),(303,1)}
         8:{1,3,4,6}:{(4,1),(12,1),(15,1),(16,1),(47,1),(187,1),(309,1)}
         9:{1,2,4,5}:{(4,1),(16,1),(42,1),(303,1),(417,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(24,1),(61,1),(75,1),(126,1),(140,1),(151,1),(237,1),(247,1),(252,1),(374,1),(469,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(363,1),(365,1)}
        12:{1,3,4,7}:{(6,1),(8,1),(24,1),(25,1),(368,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(21,1),(25,1),(26,1),(66,1)}
        14:{1,2,5,6}:{(7,1),(22,1),(26,1),(146,1),(355,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(71,1),(75,1),(141,1),(258,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(32,1),(64,1),(71,1),(122,1),(146,1),(218,1),(249,1),(364,1),(369,1),(465,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(44,1),(98,1),(178,1),(298,1),(322,1),(529,1)}
        19:{1,3,4,6,7}:{(10,1),(34,1),(35,1),(45,1),(85,1),(89,1),(110,1),(178,1),(199,1),(205,1),(322,1),(426,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(191,1),(202,1),(305,1),(313,1)}
        21:{1,4,5,7}:{(11,1),(36,1),(39,1),(417,1),(501,1)}
        22:{1,3,5,6}:{(11,1),(14,1),(37,1),(39,1),(47,1),(297,1),(304,1)}
        23:{1,3,4,5}:{(16,1),(42,1),(43,1),(417,1),(421,1)}
        24:{2,3,4,7}:{(12,1),(15,1),(45,1),(46,1),(108,1),(318,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(39,1),(47,1),(103,1)}
        27:{1,2,5,6,7}:{(14,1),(40,1),(48,1),(202,1),(283,1),(392,1),(409,1),(419,1)}
        28:{1,2,3,6}:{(41,1),(44,1),(49,1),(206,1)}
        29:{1,3,4,6}:{(15,1),(45,1),(49,1),(50,1),(105,1),(107,1),(110,1),(206,1)}
        30:{2,3,5}:{(15,1),(16,1),(42,1),(50,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(43,1),(47,1),(51,1),(52,1),(309,1),(422,1)}
        32:{1,2,4,5,7}:{(17,1),(48,1),(52,1),(100,1),(108,1),(171,1),(202,1),(280,1),(310,1),(419,1),(423,1),(501,1)}
        33:{1,2,3,5,7}:{(18,1),(55,1),(56,1),(57,1),(127,1),(354,1),(376,1),(523,1),(547,1)}
        34:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(73,1),(128,1),(145,1),(155,1),(247,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(57,1),(58,1),(59,1),(260,1),(262,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(58,1),(60,1),(61,1),(371,1),(469,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(59,1),(61,1),(75,1),(136,1),(146,1),(237,1),(242,1)}
        38:{1,3,4,5,7}:{(21,1),(23,1),(25,1),(60,1),(66,1),(67,1),(72,1),(147,1)}
        39:{1,4,6}:{(21,1),(22,1),(61,1)}
        40:{1,3,5,6,7}:{(22,1),(27,1),(62,1),(68,1),(76,1),(147,1),(356,1),(365,1),(466,1)}
        41:{1,2,3,5}:{(28,1),(69,1),(77,1),(152,1)}
        42:{2,4,5}:{(23,1),(30,1),(70,1),(71,1)}
        43:{1,3,4,6}:{(23,1),(31,1),(71,1),(72,1),(465,1),(467,1)}
        44:{1,2,3,7}:{(28,1),(73,1),(265,1)}
        45:{1,3,4,7}:{(24,1),(29,1),(73,1),(74,1),(154,1),(265,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(30,1),(66,1),(74,1),(75,1)}
        47:{1,3,6}:{(25,1),(26,1),(75,1)}
        48:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(68,1),(76,1),(151,1),(225,1),(338,1),(440,1)}
        49:{1,2,4,6}:{(28,1),(29,1),(69,1),(73,1),(77,1),(155,1)}
        50:{1,3,5}:{(29,1),(30,1),(70,1),(77,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(71,1),(75,1),(78,1),(79,1),(146,1),(218,1),(258,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(72,1),(76,1),(79,1),(368,1),(468,1)}
        53:{1,2,3,5,6}:{(41,1),(80,1),(81,1),(98,1),(112,1),(169,1),(200,1),(206,1),(279,1),(282,1),(285,1),(320,1)}
        54:{1,3,4,5,6}:{(43,1),(82,1),(83,1),(99,1),(162,1),(189,1),(287,1),(311,1),(398,1),(422,1)}
        55:{1,2,3,5,6}:{(33,1),(84,1),(87,1),(98,1),(173,1),(178,1),(200,1),(294,1),(320,1),(400,1),(495,1),(536,1)}
        56:{1,2,4,7}:{(33,1),(84,1),(85,1),(406,1),(426,1)}
        57:{1,2,5,7}:{(34,1),(35,1),(87,1),(200,1),(305,1)}
        58:{1,4,5,7}:{(35,1),(36,1),(89,1),(319,1),(426,1)}
        59:{1,3,5,6}:{(35,1),(37,1),(87,1),(89,1),(110,1),(178,1),(201,1)}
        60:{3,4,5,7}:{(36,1),(94,1),(191,1),(421,1),(502,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(89,1),(94,1)}
        62:{2,3,5,6,7}:{(37,1),(40,1),(90,1),(95,1),(111,1),(191,1),(202,1),(298,1),(305,1),(392,1),(425,1),(482,1)}
        63:{2,3,4,5}:{(42,1),(96,1),(97,1),(196,1),(278,1),(421,1)}
        64:{1,4,5,6}:{(39,1),(92,1),(99,1),(100,1),(304,1)}
        65:{1,2,3,5,7}:{(41,1),(44,1),(98,1),(101,1),(109,1),(200,1),(203,1),(377,1),(400,1),(471,1)}
        66:{2,4,5,7}:{(38,1),(42,1),(46,1),(102,1),(103,1),(108,1),(202,1)}
        67:{1,3,4,6}:{(38,1),(39,1),(47,1),(94,1),(99,1),(103,1)}
        68:{1,4,6,7}:{(39,1),(40,1),(95,1),(100,1),(501,1)}
        69:{1,2,4}:{(41,1),(105,1)}
        70:{1,4,5}:{(42,1),(50,1),(107,1)}
        71:{2,4,6}:{(42,1),(43,1),(51,1),(107,1),(108,1)}
        72:{1,3,4,7}:{(43,1),(52,1),(108,1),(501,1),(502,1)}
        73:{1,2,4,7}:{(44,1),(45,1),(49,1),(109,1)}
        74:{1,3,5,7}:{(45,1),(46,1),(50,1),(102,1),(109,1),(110,1)}
        75:{2,3,6}:{(46,1),(47,1),(103,1),(110,1)}
        76:{1,3,6,7}:{(47,1),(48,1),(52,1),(111,1),(482,1)}
        77:{1,2,5}:{(49,1),(50,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(107,1),(110,1),(112,1),(113,1),(201,1),(206,1)}
        79:{2,3,5,7}:{(51,1),(52,1),(108,1),(111,1),(113,1),(202,1),(280,1),(318,1)}
        80:{1,2,3,5,7}:{(53,1),(116,1),(118,1),(157,1),(221,1),(223,1),(265,1),(340,1),(376,1)}
        81:{1,2,4,6}:{(53,1),(69,1),(118,1),(120,1),(121,1),(339,1),(375,1)}
        82:{2,4,5,6}:{(54,1),(71,1),(115,1),(122,1),(123,1),(146,1),(218,1),(339,1),(443,1)}
        83:{1,3,4,5,7}:{(54,1),(72,1),(119,1),(123,1),(147,1),(219,1),(251,1),(346,1),(370,1),(447,1),(468,1)}
        84:{1,2,4,6}:{(55,1),(56,1),(124,1),(125,1),(350,1),(375,1),(448,1)}
        85:{1,3,4,7}:{(56,1),(124,1),(126,1),(127,1),(547,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(125,1),(127,1),(128,1),(132,1)}
        87:{1,2,5,6}:{(57,1),(59,1),(128,1),(155,1),(242,1)}
        88:{1,3,4,5,7}:{(58,1),(60,1),(127,1),(132,1),(133,1),(229,1),(243,1),(351,1)}
        89:{1,4,6}:{(58,1),(59,1),(61,1)}
        90:{1,3,5,6,7}:{(59,1),(62,1),(129,1),(134,1),(156,1),(238,1),(243,1),(262,1),(376,1)}
        91:{1,2,3,5}:{(114,1),(135,1),(213,1),(248,1)}
        92:{2,4,5,6}:{(61,1),(64,1),(130,1),(136,1),(137,1),(146,1),(242,1)}
        93:{2,3,4,5,7}:{(60,1),(63,1),(66,1),(132,1),(138,1),(139,1),(144,1),(254,1),(255,1),(336,1),(347,1),(371,1),(439,1),(452,1),(469,1),(505,1)}
        94:{3,4,6}:{(60,1),(61,1),(136,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(68,1),(134,1),(137,1),(140,1),(469,1)}
        96:{1,3,4,5}:{(63,1),(70,1),(142,1),(143,1),(152,1),(248,1),(330,1)}
        97:{2,3,4,6}:{(63,1),(71,1),(115,1),(143,1),(144,1),(258,1),(339,1),(467,1)}
        98:{1,2,3,6}:{(65,1),(145,1),(155,1),(263,1),(504,1)}
        99:{1,3,5,6}:{(64,1),(67,1),(136,1),(146,1),(147,1)}
       100:{1,4,5,7}:{(64,1),(68,1),(137,1),(147,1),(365,1)}
       101:{1,2,4,7}:{(65,1),(69,1),(145,1),(148,1),(448,1)}
       102:{1,4,5,7}:{(66,1),(70,1),(74,1),(150,1),(154,1),(262,1)}
       103:{2,4,6}:{(66,1),(67,1),(75,1),(146,1),(150,1)}
       104:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(76,1),(140,1),(147,1),(151,1)}
       105:{1,3,4}:{(69,1),(141,1),(152,1)}
       106:{1,2,4,5}:{(69,1),(70,1),(77,1),(142,1),(152,1),(153,1)}
       107:{1,4,6}:{(70,1),(71,1),(78,1),(154,1)}
       108:{2,4,7}:{(71,1),(72,1),(79,1),(154,1)}
       109:{1,2,5,7}:{(73,1),(74,1),(77,1),(155,1)}
       110:{1,3,6}:{(74,1),(75,1),(150,1),(155,1)}
       111:{2,3,6,7}:{(75,1),(76,1),(79,1),(151,1),(156,1),(338,1)}
       112:{1,2,5,6}:{(77,1),(78,1),(153,1),(155,1),(157,1),(218,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(154,1),(156,1),(157,1),(262,1),(265,1)}
       114:{1,2,3,6}:{(91,1),(158,1),(159,1),(309,1)}
       115:{2,3,5,6}:{(82,1),(97,1),(162,1),(163,1),(422,1)}
       116:{1,2,3,6,7}:{(80,1),(98,1),(164,1),(208,1),(285,1),(322,1),(377,1),(394,1)}
       117:{1,4,5,6,7}:{(100,1),(160,1),(165,1),(383,1),(389,1),(486,1)}
       118:{1,2,4,7}:{(80,1),(81,1),(166,1),(395,1),(426,1)}
       119:{1,3,4,6,7}:{(83,1),(165,1),(168,1),(273,1),(277,1),(389,1),(482,1)}
       120:{1,3,4,6}:{(81,1),(105,1),(161,1),(166,1),(169,1),(206,1),(285,1)}
       121:{1,2,4,5}:{(81,1),(169,1),(200,1),(278,1),(319,1)}
       122:{1,4,5,6}:{(82,1),(107,1),(162,1),(171,1),(201,1),(387,1),(479,1)}
       123:{2,4,5,7}:{(82,1),(83,1),(108,1),(163,1),(168,1),(171,1),(202,1),(280,1),(395,1),(485,1)}
       124:{1,3,4,6}:{(84,1),(85,1),(172,1),(173,1),(178,1),(487,1),(536,1)}
       125:{1,2,4,5}:{(84,1),(173,1),(200,1),(290,1),(319,1)}
       126:{2,3,4,7}:{(85,1),(172,1),(176,1),(177,1),(406,1),(538,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(173,1),(177,1),(178,1)}
       128:{1,2,4,6}:{(86,1),(87,1),(89,1),(178,1),(185,1)}
       129:{1,2,5,6,7}:{(87,1),(90,1),(179,1),(208,1),(305,1),(321,1),(383,1),(392,1)}
       130:{1,4,5,6}:{(89,1),(92,1),(181,1),(182,1),(201,1)}
       131:{1,2,3,5,7}:{(91,1),(158,1),(175,1),(180,1),(183,1),(270,1),(289,1),(296,1),(303,1),(306,1)}
       132:{2,4,5,7}:{(88,1),(177,1),(184,1),(185,1),(290,1),(305,1),(406,1)}
       133:{1,3,4,6}:{(88,1),(89,1),(94,1),(178,1),(181,1),(185,1)}
       134:{1,4,6,7}:{(89,1),(90,1),(95,1),(182,1),(426,1)}
       135:{1,2,4}:{(91,1),(187,1)}
       136:{3,5,6}:{(92,1),(94,1),(191,1)}
       137:{2,4,5,7}:{(92,1),(95,1),(100,1),(182,1),(191,1),(202,1),(305,1)}
       138:{1,3,4,5,7}:{(93,1),(96,1),(102,1),(184,1),(193,1),(194,1),(198,1),(203,1),(306,1),(315,1),(319,1),(384,1),(401,1),(417,1),(421,1),(426,1),(491,1),(501,1),(502,1),(527,1)}
       139:{2,3,4,6}:{(93,1),(94,1),(103,1),(185,1),(190,1),(194,1),(316,1),(393,1),(424,1),(481,1),(530,1)}
       140:{3,4,6,7}:{(94,1),(95,1),(191,1),(482,1),(502,1)}
       141:{2,3,4}:{(105,1),(187,1),(196,1)}
       142:{2,4,5}:{(96,1),(196,1),(197,1)}
       143:{1,3,4,6}:{(96,1),(97,1),(107,1),(162,1),(197,1),(198,1),(206,1),(309,1),(387,1)}
       144:{2,3,4,7}:{(97,1),(108,1),(163,1),(198,1),(318,1),(395,1),(502,1)}
       145:{1,2,4,6}:{(98,1),(101,1),(199,1),(200,1)}
       146:{2,5,6}:{(99,1),(103,1),(201,1),(202,1)}
       147:{1,3,5,7}:{(99,1),(100,1),(104,1),(191,1),(202,1)}
       148:{1,3,4,7}:{(101,1),(105,1),(192,1),(199,1),(203,1),(426,1),(487,1)}
       149:{1,2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(193,1),(200,1),(203,1),(204,1),(207,1),(319,1),(321,1),(426,1),(471,1),(488,1),(527,1),(537,1)}
       150:{1,4,6}:{(102,1),(103,1),(110,1),(201,1)}
       151:{2,4,6,7}:{(103,1),(104,1),(108,1),(111,1),(202,1),(205,1)}
       152:{1,3,5}:{(105,1),(106,1),(196,1),(206,1)}
       153:{1,2,4,6}:{(106,1),(107,1),(112,1),(197,1),(206,1),(207,1)}
       154:{1,4,7}:{(107,1),(108,1),(113,1)}
       155:{1,2,6}:{(109,1),(110,1)}
       156:{1,3,6,7}:{(110,1),(111,1),(113,1),(205,1),(208,1)}
       157:{1,2,5,7}:{(112,1),(113,1),(207,1),(208,1),(280,1)}
       158:{1,2,3,7}:{(114,1),(211,1),(368,1)}
       159:{1,2,4,6}:{(114,1),(135,1),(211,1),(212,1),(213,1),(329,1)}
       160:{2,4,5,6,7}:{(117,1),(137,1),(210,1),(214,1),(222,1),(327,1),(333,1),(440,1),(515,1)}
       161:{2,3,4,6}:{(120,1),(141,1),(212,1),(215,1),(217,1),(258,1),(337,1),(339,1)}
       162:{1,3,5,6}:{(115,1),(122,1),(143,1),(218,1),(219,1)}
       163:{2,3,5,7}:{(115,1),(123,1),(144,1),(216,1),(219,1),(468,1)}
       164:{1,2,4,6,7}:{(116,1),(118,1),(145,1),(220,1),(221,1),(224,1),(427,1),(444,1),(504,1)}
       165:{1,3,5,6,7}:{(117,1),(119,1),(147,1),(214,1),(222,1),(447,1)}
       166:{1,3,4,7}:{(118,1),(120,1),(215,1),(223,1),(265,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(221,1),(223,1),(224,1),(336,1),(341,1)}
       168:{2,4,6,7}:{(119,1),(123,1),(216,1),(222,1),(225,1),(338,1)}
       169:{1,3,5}:{(120,1),(121,1),(217,1)}
       170:{1,2,4,5,6}:{(121,1),(122,1),(153,1),(218,1),(224,1),(227,1),(228,1),(261,1),(339,1),(369,1),(375,1),(443,1),(445,1)}
       171:{1,4,5,7}:{(122,1),(123,1),(154,1),(219,1),(225,1),(262,1),(438,1),(512,1)}
       172:{2,3,4,6}:{(124,1),(126,1),(231,1),(232,1),(237,1),(350,1),(449,1),(518,1)}
       173:{1,3,5}:{(124,1),(125,1),(232,1)}
       174:{1,2,4,5,6}:{(125,1),(128,1),(130,1),(233,1),(234,1),(242,1),(261,1),(350,1),(361,1),(369,1),(375,1),(460,1),(517,1)}
       175:{1,2,3,7}:{(230,1),(235,1),(520,1)}
       176:{1,3,4,7}:{(126,1),(231,1),(235,1),(236,1),(455,1),(520,1)}
       177:{2,3,5,7}:{(126,1),(127,1),(132,1),(232,1),(236,1),(237,1)}
       178:{1,3,6}:{(127,1),(128,1),(237,1)}
       179:{1,2,4,6,7}:{(128,1),(129,1),(134,1),(234,1),(238,1),(247,1),(432,1),(440,1),(507,1)}
       180:{1,2,3,6}:{(131,1),(241,1),(329,1),(355,1),(366,1)}
       181:{1,3,5,6}:{(130,1),(133,1),(136,1),(242,1),(243,1)}
       182:{1,4,5,7}:{(130,1),(134,1),(137,1),(243,1),(262,1)}
       183:{1,2,4,7}:{(131,1),(135,1),(241,1),(244,1),(348,1)}
       184:{1,4,5,7}:{(132,1),(236,1),(246,1),(349,1),(365,1),(455,1)}
       185:{2,4,6}:{(132,1),(133,1),(237,1),(242,1),(246,1)}
       186:{1,3,4,6,7}:{(133,1),(134,1),(140,1),(238,1),(243,1),(247,1),(351,1)}
       187:{1,3,4}:{(135,1),(141,1),(248,1)}
       188:{1,2,4,5}:{(135,1),(142,1),(213,1),(248,1),(249,1),(330,1)}
       189:{3,4,5,6}:{(136,1),(250,1),(251,1),(467,1),(513,1)}
       190:{2,3,5,6}:{(136,1),(139,1),(146,1),(242,1),(250,1),(253,1),(254,1),(443,1),(513,1),(544,1)}
       191:{3,5,7}:{(136,1),(137,1),(140,1)}
       192:{2,3,4,7}:{(141,1),(148,1),(244,1),(252,1),(255,1),(449,1),(469,1)}
       193:{2,4,5,7}:{(138,1),(142,1),(255,1),(256,1),(259,1),(371,1),(373,1),(450,1),(469,1),(519,1)}
       194:{1,3,4,6}:{(138,1),(139,1),(150,1),(246,1),(253,1),(256,1),(263,1),(366,1),(375,1),(436,1),(465,1),(467,1),(542,1)}
       195:{2,3,4,6,7}:{(139,1),(140,1),(144,1),(151,1),(216,1),(247,1),(254,1),(257,1),(333,1),(374,1),(429,1),(444,1),(452,1),(469,1),(514,1),(545,1)}
       196:{2,3,5}:{(141,1),(142,1),(152,1),(248,1),(258,1)}
       197:{2,4,6}:{(142,1),(143,1),(218,1),(258,1),(259,1)}
       198:{1,3,4,7}:{(143,1),(144,1),(154,1),(219,1),(259,1),(265,1),(368,1),(438,1)}
       199:{1,3,4,6}:{(145,1),(148,1),(252,1),(260,1),(263,1),(375,1)}
       200:{1,2,5}:{(145,1),(260,1)}
       201:{1,5,6}:{(146,1),(150,1),(262,1)}
       202:{2,5,7}:{(146,1),(147,1),(151,1),(262,1)}
       203:{1,3,5,7}:{(148,1),(149,1),(152,1),(255,1),(260,1),(263,1),(265,1),(516,1),(547,1)}
       204:{1,2,4,6}:{(149,1),(150,1),(155,1),(256,1),(261,1),(263,1),(375,1),(504,1),(542,1)}
       205:{1,4,6,7}:{(150,1),(151,1),(154,1),(156,1),(262,1)}
       206:{1,3,6}:{(152,1),(153,1),(258,1),(265,1)}
       207:{1,2,4,7}:{(153,1),(154,1),(157,1),(259,1),(265,1)}
       208:{1,2,6,7}:{(155,1),(156,1),(157,1),(338,1)}
       209:{1,2,3,6,7}:{(158,1),(180,1),(266,1),(267,1),(409,1),(420,1),(475,1),(531,1)}
       210:{1,4,5,6,7}:{(160,1),(182,1),(268,1),(283,1),(389,1),(534,1)}
       211:{1,2,4,7}:{(158,1),(159,1),(269,1),(270,1)}
       212:{1,3,4,6}:{(159,1),(161,1),(187,1),(269,1),(271,1),(309,1),(385,1),(387,1)}
       213:{1,2,5}:{(159,1),(271,1)}
       214:{3,5,6,7}:{(160,1),(191,1),(273,1),(482,1),(535,1)}
       215:{2,3,4,7}:{(161,1),(166,1),(269,1),(276,1),(318,1),(395,1)}
       216:{2,3,6,7}:{(163,1),(168,1),(277,1),(482,1)}
       217:{2,3,5}:{(161,1),(169,1),(271,1),(278,1)}
       218:{2,5,6}:{(162,1),(197,1),(280,1)}
       219:{1,3,5,7}:{(162,1),(163,1),(171,1),(198,1),(277,1),(280,1)}
       220:{1,3,4,6,7}:{(164,1),(166,1),(199,1),(274,1),(281,1),(285,1),(322,1),(396,1),(426,1),(470,1),(528,1),(550,1)}
       221:{1,2,5,7}:{(164,1),(200,1),(281,1),(282,1),(485,1)}
       222:{2,5,6,7}:{(165,1),(168,1),(202,1),(283,1),(485,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(169,1),(276,1),(285,1)}
       224:{1,2,4,6}:{(167,1),(282,1),(285,1),(393,1),(396,1)}
       225:{1,4,6,7}:{(168,1),(171,1),(277,1),(283,1)}
       226:{1,3,4,5}:{(169,1),(278,1),(287,1),(319,1),(421,1)}
       227:{1,3,5,6}:{(169,1),(170,1),(206,1),(279,1),(285,1),(287,1),(288,1),(422,1)}
       228:{1,2,4,5,7}:{(170,1),(171,1),(207,1),(280,1),(286,1),(288,1),(321,1),(395,1),(423,1),(426,1),(485,1),(486,1)}
       229:{1,3,4,5}:{(173,1),(290,1),(291,1),(319,1),(421,1)}
       230:{1,2,3,6}:{(175,1),(289,1),(292,1),(492,1)}
       231:{1,3,4,6}:{(172,1),(176,1),(292,1),(293,1),(297,1),(403,1),(405,1),(492,1)}
       232:{2,3,5}:{(172,1),(173,1),(290,1),(293,1)}
       233:{1,3,5,6}:{(173,1),(174,1),(178,1),(291,1),(294,1),(295,1),(422,1),(536,1)}
       234:{1,2,4,5,7}:{(174,1),(179,1),(182,1),(295,1),(305,1),(321,1),(406,1),(416,1),(423,1),(426,1),(498,1),(537,1)}
       235:{1,2,4,7}:{(175,1),(176,1),(292,1),(296,1)}
       236:{1,3,5,7}:{(176,1),(177,1),(184,1),(293,1),(296,1),(297,1)}
       237:{2,3,6}:{(177,1),(178,1),(185,1),(297,1)}
       238:{1,3,6,7}:{(178,1),(179,1),(295,1),(298,1),(482,1)}
       239:{1,2,3,5,6}:{(180,1),(266,1),(289,1),(299,1),(303,1),(382,1),(407,1),(414,1),(418,1),(475,1),(492,1),(497,1)}
       240:{1,3,4,5,6}:{(181,1),(189,1),(291,1),(300,1),(301,1),(311,1),(412,1),(422,1),(499,1),(532,1)}
       241:{1,2,4,6}:{(180,1),(183,1),(302,1),(303,1)}
       242:{2,5,6}:{(181,1),(185,1),(304,1),(305,1)}
       243:{1,3,5,7}:{(181,1),(182,1),(186,1),(191,1),(305,1)}
       244:{1,3,4,7}:{(183,1),(187,1),(192,1),(302,1),(306,1),(403,1),(501,1)}
       245:{1,2,4,5,7}:{(183,1),(184,1),(188,1),(193,1),(270,1),(296,1),(303,1),(306,1),(307,1),(310,1),(384,1),(404,1),(417,1),(419,1),(493,1),(501,1)}
       246:{1,4,6}:{(184,1),(185,1),(297,1),(304,1)}
       247:{2,4,6,7}:{(185,1),(186,1),(298,1),(305,1),(308,1),(406,1)}
       248:{1,3,5}:{(187,1),(188,1),(196,1),(309,1)}
       249:{1,2,4,6}:{(188,1),(197,1),(272,1),(309,1),(310,1),(387,1)}
       250:{2,4,5,6}:{(189,1),(190,1),(311,1),(312,1),(424,1)}
       251:{3,4,5,7}:{(189,1),(191,1),(273,1),(312,1),(502,1),(535,1)}
       252:{2,3,4,6}:{(192,1),(199,1),(302,1),(313,1),(316,1),(424,1)}
       253:{1,3,5,6}:{(190,1),(194,1),(201,1),(304,1),(311,1),(314,1),(315,1),(422,1),(479,1),(549,1)}
       254:{2,3,5,7}:{(190,1),(191,1),(195,1),(202,1),(305,1),(312,1),(315,1),(485,1),(535,1),(551,1)}
       255:{2,3,5,7}:{(192,1),(193,1),(196,1),(203,1),(306,1),(313,1),(316,1),(318,1),(489,1),(538,1)}
       256:{2,4,6}:{(193,1),(194,1),(314,1),(316,1)}
       257:{1,3,4,6,7}:{(194,1),(195,1),(198,1),(205,1),(277,1),(308,1),(315,1),(317,1),(322,1),(389,1),(420,1),(426,1),(473,1),(480,1),(482,1),(491,1),(501,1),(502,1),(550,1)}
       258:{2,3,6}:{(196,1),(197,1),(206,1),(309,1),(318,1)}
       259:{2,4,7}:{(197,1),(198,1),(280,1),(318,1)}
       260:{1,3,5}:{(199,1),(200,1),(313,1),(319,1)}
       261:{1,2,5,6}:{(200,1),(201,1),(204,1),(314,1),(320,1),(321,1),(549,1)}
       262:{1,5,7}:{(201,1),(202,1),(205,1)}
       263:{1,3,6}:{(203,1),(204,1),(316,1)}
       264:{1,2,4,6,7}:{(204,1),(205,1),(207,1),(208,1),(317,1),(321,1),(322,1),(426,1),(529,1),(537,1),(550,1)}
       265:{1,3,7}:{(206,1),(207,1),(318,1)}
       266:{1,2,3,5,7}:{(209,1),(239,1),(323,1),(326,1),(430,1),(456,1),(466,1),(520,1),(525,1)}
       267:{1,2,4,6,7}:{(209,1),(211,1),(241,1),(323,1),(325,1),(326,1),(329,1),(431,1),(545,1)}
       268:{1,3,5,6,7}:{(210,1),(214,1),(243,1),(324,1),(327,1),(546,1)}
       269:{1,3,4,7}:{(211,1),(212,1),(215,1),(328,1),(368,1),(438,1)}
       270:{1,2,5,7}:{(211,1),(213,1),(328,1),(329,1)}
       271:{1,3,5}:{(212,1),(213,1),(217,1),(330,1)}
       272:{1,2,5,6}:{(213,1),(218,1),(249,1),(329,1),(331,1),(332,1)}
       273:{3,4,6,7}:{(214,1),(251,1),(333,1)}
       274:{2,3,4,6,7}:{(215,1),(220,1),(252,1),(325,1),(334,1),(337,1),(374,1),(428,1),(441,1),(444,1),(469,1),(506,1),(514,1),(545,1)}
       275:{2,3,5,6,7}:{(214,1),(216,1),(222,1),(254,1),(327,1),(333,1),(335,1),(429,1)}
       276:{2,3,5,7}:{(215,1),(217,1),(223,1),(328,1),(336,1),(337,1)}
       277:{1,3,6,7}:{(216,1),(219,1),(225,1),(338,1)}
       278:{2,4,5}:{(217,1),(226,1),(330,1),(339,1)}
       279:{2,3,5,6}:{(217,1),(218,1),(227,1),(258,1),(331,1),(337,1),(339,1),(340,1),(443,1)}
       280:{2,5,7}:{(218,1),(219,1),(259,1),(338,1)}
       281:{1,3,5,7}:{(220,1),(221,1),(260,1),(334,1),(341,1),(342,1),(552,1)}
       282:{1,2,5,6}:{(221,1),(224,1),(342,1),(443,1),(504,1)}
       283:{1,5,6,7}:{(222,1),(225,1),(262,1),(512,1)}
       284:{1,3,4,5,7}:{(223,1),(226,1),(336,1),(341,1),(344,1),(346,1),(439,1),(447,1)}
       285:{1,3,6}:{(223,1),(224,1),(337,1)}
       286:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(338,1),(343,1),(345,1),(440,1),(444,1),(446,1)}
       287:{1,3,4,6}:{(226,1),(227,1),(339,1),(346,1),(375,1),(467,1)}
       288:{1,3,5,7}:{(227,1),(228,1),(265,1),(340,1),(345,1),(346,1),(468,1)}
       289:{1,2,3,5}:{(230,1),(348,1),(352,1),(453,1)}
       290:{2,4,5}:{(229,1),(232,1),(349,1),(350,1)}
       291:{1,3,4,6}:{(229,1),(233,1),(350,1),(351,1),(375,1),(467,1)}
       292:{1,2,4,6}:{(230,1),(231,1),(235,1),(348,1),(352,1),(355,1)}
       293:{1,3,5}:{(231,1),(232,1),(349,1),(352,1)}
       294:{2,3,5,6}:{(232,1),(233,1),(237,1),(242,1),(350,1),(353,1),(354,1),(460,1),(518,1)}
       295:{1,3,5,7}:{(233,1),(234,1),(238,1),(351,1),(354,1),(468,1),(547,1)}
       296:{1,2,5,7}:{(235,1),(236,1),(352,1),(355,1)}
       297:{1,3,6}:{(236,1),(237,1),(246,1),(355,1)}
       298:{2,3,6,7}:{(237,1),(238,1),(247,1),(354,1),(356,1),(507,1)}
       299:{1,2,4,6}:{(239,1),(323,1),(348,1),(359,1),(360,1),(465,1),(524,1)}
       300:{2,4,5,6}:{(240,1),(242,1),(350,1),(358,1),(361,1),(362,1),(460,1),(524,1),(544,1)}
       301:{1,3,4,5,7}:{(240,1),(243,1),(251,1),(324,1),(351,1),(362,1),(370,1),(461,1),(468,1),(526,1),(546,1)}
       302:{1,3,4,6}:{(241,1),(244,1),(252,1),(363,1),(366,1),(465,1)}
       303:{1,2,5}:{(241,1),(363,1)}
       304:{1,5,6}:{(242,1),(246,1),(365,1)}
       305:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       306:{1,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(363,1),(366,1),(368,1),(453,1),(520,1)}
       307:{1,2,4,6}:{(245,1),(246,1),(256,1),(329,1),(355,1),(364,1),(366,1),(436,1),(465,1)}
       308:{1,4,6,7}:{(246,1),(247,1),(356,1),(365,1),(455,1)}
       309:{1,3,6}:{(248,1),(249,1),(258,1),(368,1)}
       310:{1,2,4,7}:{(249,1),(259,1),(332,1),(368,1),(438,1)}
       311:{1,4,5,6}:{(250,1),(253,1),(369,1),(370,1),(375,1),(465,1)}
       312:{2,4,5,7}:{(250,1),(251,1),(254,1),(333,1),(370,1),(469,1)}
       313:{2,3,5}:{(252,1),(260,1),(363,1),(371,1)}
       314:{2,5,6}:{(253,1),(256,1),(373,1)}
       315:{1,3,5,7}:{(253,1),(254,1),(257,1),(262,1),(365,1),(370,1),(373,1),(468,1),(512,1),(552,1)}
       316:{2,3,6}:{(255,1),(256,1),(263,1),(366,1)}
       317:{2,4,6,7}:{(256,1),(257,1),(259,1),(338,1),(373,1),(374,1),(469,1),(507,1),(519,1)}
       318:{2,3,7}:{(258,1),(259,1),(265,1),(368,1)}
       319:{1,4,5}:{(260,1),(371,1),(375,1)}
       320:{1,3,5,6}:{(260,1),(261,1),(263,1),(372,1),(375,1),(376,1)}
       321:{1,2,5,7}:{(261,1),(262,1),(264,1),(373,1),(376,1),(552,1)}
       322:{1,3,6,7}:{(263,1),(264,1),(265,1),(374,1),(376,1),(547,1)}
       323:{1,2,4,7}:{(266,1),(299,1),(378,1),(501,1),(541,1)}
       324:{1,3,4,6,7}:{(268,1),(273,1),(301,1),(380,1),(389,1),(473,1),(482,1)}
       325:{1,3,4,6,7}:{(267,1),(269,1),(274,1),(302,1),(378,1),(381,1),(385,1),(420,1),(475,1),(477,1),(480,1),(501,1)}
       326:{1,2,5,7}:{(267,1),(303,1),(381,1),(382,1),(551,1)}
       327:{2,5,6,7}:{(268,1),(305,1),(380,1),(383,1),(551,1)}
       328:{1,3,5,7}:{(269,1),(270,1),(271,1),(276,1),(384,1),(385,1)}
       329:{1,2,6}:{(270,1),(385,1)}
       330:{1,4,5}:{(271,1),(278,1),(387,1)}
       331:{1,3,5,6}:{(271,1),(272,1),(279,1),(309,1),(385,1),(387,1),(388,1),(479,1)}
       332:{1,2,5,7}:{(272,1),(280,1),(310,1),(386,1),(388,1)}
       333:{2,4,6,7}:{(273,1),(275,1),(312,1),(389,1)}
       334:{2,3,5,7}:{(274,1),(281,1),(313,1),(381,1),(390,1),(391,1),(485,1),(535,1),(551,1)}
       335:{1,3,5,6,7}:{(275,1),(277,1),(283,1),(315,1),(383,1),(389,1),(392,1),(473,1),(482,1)}
       336:{2,4,5,7}:{(276,1),(278,1),(284,1),(384,1),(393,1),(395,1),(485,1)}
       337:{2,3,6}:{(276,1),(285,1),(385,1),(393,1)}
       338:{2,6,7}:{(277,1),(280,1)}
       339:{2,4,6}:{(278,1),(279,1),(287,1),(387,1),(395,1)}
       340:{2,3,5,7}:{(279,1),(280,1),(288,1),(318,1),(388,1),(394,1),(395,1),(485,1)}
       341:{1,4,5,7}:{(281,1),(319,1),(390,1),(396,1),(426,1)}
       342:{1,3,5,6}:{(281,1),(282,1),(285,1),(391,1),(396,1),(528,1),(549,1)}
       343:{1,2,5,6,7}:{(282,1),(283,1),(286,1),(321,1),(392,1),(397,1),(485,1),(529,1)}
       344:{1,3,4,6}:{(284,1),(285,1),(393,1),(396,1),(398,1),(481,1)}
       345:{1,3,6,7}:{(285,1),(286,1),(288,1),(394,1),(482,1)}
       346:{1,3,4,7}:{(287,1),(288,1),(395,1),(426,1),(502,1)}
       347:{2,3,4,5}:{(290,1),(401,1),(402,1),(421,1),(489,1),(496,1)}
       348:{1,2,4}:{(289,1),(403,1)}
       349:{1,4,5}:{(290,1),(293,1),(405,1)}
       350:{2,4,6}:{(290,1),(291,1),(294,1),(405,1),(406,1)}
       351:{1,3,4,7}:{(291,1),(295,1),(406,1),(426,1),(502,1)}
       352:{1,2,5}:{(292,1),(293,1)}
       353:{1,3,5,6}:{(293,1),(294,1),(297,1),(304,1),(405,1),(407,1),(408,1),(492,1)}
       354:{2,3,5,7}:{(294,1),(295,1),(298,1),(305,1),(406,1),(408,1),(498,1),(538,1)}
       355:{1,2,6}:{(296,1),(297,1)}
       356:{1,3,6,7}:{(297,1),(298,1),(308,1),(408,1),(409,1)}
       357:{1,2,3,6}:{(377,1),(400,1),(410,1),(536,1)}
       358:{2,3,5,6}:{(300,1),(402,1),(412,1),(413,1),(422,1)}
       359:{1,3,4,6}:{(299,1),(378,1),(403,1),(411,1),(414,1),(475,1),(492,1)}
       360:{1,2,4,5}:{(299,1),(303,1),(414,1),(417,1),(496,1)}
       361:{1,4,5,6}:{(300,1),(304,1),(405,1),(412,1),(416,1),(539,1),(549,1)}
       362:{2,4,5,7}:{(300,1),(301,1),(305,1),(380,1),(406,1),(413,1),(416,1),(498,1),(541,1),(551,1)}
       363:{1,3,5}:{(302,1),(303,1),(313,1),(417,1)}
       364:{1,2,5,6}:{(303,1),(304,1),(307,1),(314,1),(418,1),(419,1),(479,1)}
       365:{1,5,7}:{(304,1),(305,1),(308,1)}
       366:{1,3,6}:{(306,1),(307,1),(316,1)}
       367:{1,2,4,6,7}:{(307,1),(308,1),(310,1),(317,1),(386,1),(409,1),(419,1),(420,1),(480,1),(493,1),(501,1)}
       368:{1,3,7}:{(309,1),(310,1),(318,1)}
       369:{2,4,5,6}:{(311,1),(314,1),(422,1),(423,1),(424,1)}
       370:{1,4,5,7}:{(311,1),(312,1),(315,1),(389,1),(423,1),(426,1),(501,1)}
       371:{2,4,5}:{(313,1),(319,1),(417,1),(421,1),(424,1)}
       372:{2,3,5,6}:{(313,1),(314,1),(316,1),(320,1),(418,1),(422,1),(424,1),(425,1)}
       373:{2,5,7}:{(314,1),(315,1),(317,1)}
       374:{2,3,6,7}:{(316,1),(317,1),(318,1),(322,1),(420,1),(425,1),(482,1),(538,1)}
       375:{1,4,6}:{(319,1),(320,1),(424,1),(426,1)}
       376:{1,3,5,7}:{(320,1),(321,1),(322,1),(425,1),(426,1)}
       377:{1,2,3,7}:{(357,1),(427,1),(547,1)}
       378:{1,3,4,7}:{(323,1),(359,1),(428,1),(430,1),(520,1)}
       379:{1,2,4,5,7}:{(323,1),(326,1),(360,1),(430,1),(431,1),(433,1),(505,1)}
       380:{2,4,6,7}:{(324,1),(327,1),(362,1),(429,1),(432,1),(507,1)}
       381:{1,3,5,7}:{(325,1),(326,1),(334,1),(363,1),(433,1),(434,1),(512,1)}
       382:{1,2,5,6}:{(326,1),(329,1),(431,1),(434,1),(544,1)}
       383:{1,5,6,7}:{(327,1),(365,1),(432,1),(552,1)}
       384:{1,4,5,7}:{(328,1),(330,1),(336,1),(436,1),(438,1),(512,1)}
       385:{1,3,6}:{(328,1),(329,1),(337,1),(436,1)}
       386:{1,2,6,7}:{(329,1),(332,1),(338,1),(437,1)}
       387:{1,4,6}:{(330,1),(331,1),(339,1),(438,1)}
       388:{1,3,5,7}:{(331,1),(332,1),(340,1),(368,1),(437,1),(438,1),(512,1)}
       389:{1,4,6,7}:{(333,1),(335,1),(370,1),(440,1)}
       390:{2,4,5,7}:{(334,1),(341,1),(371,1),(433,1),(439,1),(441,1),(469,1)}
       391:{2,3,5,6}:{(334,1),(337,1),(342,1),(434,1),(441,1),(443,1),(506,1),(513,1),(544,1)}
       392:{2,5,6,7}:{(335,1),(338,1),(373,1),(440,1),(507,1)}
       393:{2,4,6}:{(336,1),(337,1),(344,1),(436,1),(443,1)}
       394:{2,3,6,7}:{(337,1),(338,1),(340,1),(345,1),(437,1),(444,1)}
       395:{2,4,7}:{(339,1),(340,1),(346,1),(438,1)}
       396:{1,4,6}:{(341,1),(342,1),(441,1)}
       397:{1,3,5,6,7}:{(342,1),(343,1),(345,1),(376,1),(442,1),(446,1),(447,1),(543,1),(552,1)}
       398:{1,3,5,6}:{(344,1),(443,1),(445,1),(447,1),(513,1)}
       399:{1,3,4,6,7}:{(344,1),(345,1),(346,1),(444,1),(446,1),(447,1),(514,1)}
       400:{1,2,3,5}:{(357,1),(448,1),(458,1),(516,1)}
       401:{1,3,4,5}:{(347,1),(349,1),(450,1),(451,1),(453,1),(516,1),(521,1)}
       402:{2,3,4,6}:{(347,1),(350,1),(358,1),(451,1),(452,1),(467,1),(518,1),(524,1)}
       403:{1,3,4}:{(348,1),(449,1),(453,1)}
       404:{1,2,4,5}:{(348,1),(349,1),(352,1),(450,1),(453,1),(454,1)}
       405:{1,4,6}:{(349,1),(350,1),(353,1),(455,1)}
       406:{2,4,7}:{(350,1),(351,1),(354,1),(455,1)}
       407:{1,2,5,6}:{(352,1),(353,1),(355,1),(454,1),(456,1),(460,1)}
       408:{1,3,5,7}:{(353,1),(354,1),(356,1),(365,1),(455,1),(456,1),(520,1)}
       409:{1,2,6,7}:{(355,1),(356,1),(456,1),(507,1)}
       410:{1,2,4,6}:{(357,1),(427,1),(448,1),(457,1),(458,1),(504,1)}
       411:{2,3,4,6}:{(359,1),(428,1),(449,1),(457,1),(459,1),(506,1),(518,1),(524,1)}
       412:{1,3,5,6}:{(358,1),(361,1),(451,1),(460,1),(461,1)}
       413:{2,3,5,7}:{(358,1),(362,1),(429,1),(452,1),(461,1),(468,1)}
       414:{1,3,5}:{(359,1),(360,1),(459,1)}
       415:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(369,1),(431,1),(454,1),(460,1),(463,1),(464,1),(465,1),(510,1),(524,1),(544,1)}
       416:{1,4,5,7}:{(361,1),(362,1),(365,1),(432,1),(455,1),(461,1),(548,1),(552,1)}
       417:{1,4,5}:{(363,1),(371,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(372,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(373,1),(466,1),(512,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(368,1),(374,1),(466,1),(520,1)}
       421:{3,4,5}:{(371,1),(467,1)}
       422:{3,5,6}:{(369,1),(467,1),(468,1)}
       423:{2,4,5,7}:{(369,1),(370,1),(373,1),(440,1),(468,1),(469,1)}
       424:{2,4,6}:{(371,1),(372,1),(375,1),(465,1),(467,1),(469,1)}
       425:{2,3,5,7}:{(372,1),(373,1),(374,1),(376,1),(466,1),(468,1),(469,1)}
       426:{1,4,7}:{(375,1),(376,1),(469,1)}
       427:{1,2,4,7}:{(377,1),(410,1),(470,1),(471,1)}
       428:{2,3,4,7}:{(378,1),(411,1),(470,1),(472,1),(538,1),(541,1)}
       429:{2,3,6,7}:{(380,1),(413,1),(473,1),(482,1)}
       430:{1,3,5,7}:{(378,1),(379,1),(414,1),(472,1),(475,1)}
       431:{1,2,4,6}:{(379,1),(382,1),(475,1),(477,1),(530,1)}
       432:{1,4,6,7}:{(380,1),(383,1),(416,1),(473,1)}
       433:{1,4,5,7}:{(381,1),(390,1),(417,1),(477,1),(501,1)}
       434:{1,3,5,6}:{(381,1),(382,1),(385,1),(391,1),(475,1),(477,1),(479,1)}
       435:{1,2,5,6,7}:{(382,1),(383,1),(386,1),(392,1),(419,1),(476,1),(478,1),(551,1)}
       436:{1,4,6}:{(384,1),(385,1),(393,1),(479,1)}
       437:{1,3,6,7}:{(385,1),(386,1),(388,1),(394,1),(480,1)}
       438:{1,4,7}:{(387,1),(388,1),(395,1)}
       439:{3,4,5,7}:{(390,1),(421,1),(481,1),(502,1),(535,1)}
       440:{2,4,6,7}:{(389,1),(392,1),(423,1),(482,1)}
       441:{2,4,6}:{(390,1),(391,1),(396,1),(477,1),(481,1)}
       442:{2,3,5,6,7}:{(391,1),(392,1),(394,1),(397,1),(425,1),(478,1),(482,1),(484,1),(485,1),(531,1),(535,1),(551,1)}
       443:{2,5,6}:{(393,1),(398,1),(479,1),(485,1)}
       444:{2,4,6,7}:{(393,1),(394,1),(395,1),(399,1),(480,1),(485,1)}
       445:{1,4,5,6}:{(396,1),(398,1),(483,1),(486,1),(549,1)}
       446:{1,4,6,7}:{(396,1),(397,1),(426,1),(484,1),(486,1)}
       447:{1,3,5,7}:{(398,1),(399,1),(485,1),(486,1),(535,1)}
       448:{1,2,4}:{(400,1),(487,1)}
       449:{2,3,4}:{(403,1),(487,1),(489,1)}
       450:{2,4,5}:{(401,1),(489,1),(490,1)}
       451:{1,3,4,6}:{(401,1),(402,1),(405,1),(412,1),(490,1),(491,1),(492,1),(536,1),(539,1)}
       452:{2,3,4,7}:{(402,1),(406,1),(413,1),(491,1),(502,1),(538,1),(541,1)}
       453:{1,3,5}:{(403,1),(404,1),(489,1),(492,1)}
       454:{1,2,4,6}:{(404,1),(405,1),(407,1),(490,1),(492,1),(493,1)}
       455:{1,4,7}:{(405,1),(406,1),(408,1)}
       456:{1,2,5,7}:{(407,1),(408,1),(409,1),(493,1),(498,1)}
       457:{1,3,4,6}:{(410,1),(411,1),(470,1),(487,1),(494,1),(528,1),(536,1),(539,1)}
       458:{1,2,5}:{(410,1),(494,1)}
       459:{2,3,5}:{(411,1),(414,1),(494,1),(496,1)}
       460:{2,5,6}:{(412,1),(490,1),(498,1)}
       461:{1,3,5,7}:{(412,1),(413,1),(416,1),(473,1),(491,1),(498,1)}
       462:{1,3,4,5}:{(414,1),(417,1),(421,1),(496,1),(499,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(475,1),(492,1),(497,1),(499,1),(500,1)}
       464:{1,2,4,5,7}:{(415,1),(416,1),(419,1),(423,1),(476,1),(493,1),(498,1),(500,1),(501,1),(534,1),(541,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(424,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(425,1),(501,1)}
       467:{3,4,6}:{(421,1),(422,1),(424,1),(502,1)}
       468:{3,5,7}:{(422,1),(423,1),(482,1),(502,1)}
       469:{2,4,7}:{(424,1),(425,1),(426,1),(501,1),(502,1)}
       470:{1,3,4,7}:{(427,1),(428,1),(457,1),(503,1),(547,1),(548,1)}
       471:{1,2,5,7}:{(427,1),(458,1),(503,1),(504,1)}
       472:{2,3,5,7}:{(428,1),(430,1),(459,1),(503,1),(505,1),(506,1)}
       473:{1,3,6,7}:{(429,1),(432,1),(461,1),(507,1)}
       474:{1,3,4,5,7}:{(430,1),(433,1),(439,1),(462,1),(505,1),(508,1),(526,1),(546,1)}
       475:{1,3,6}:{(430,1),(431,1),(506,1)}
       476:{1,2,4,6,7}:{(431,1),(432,1),(435,1),(440,1),(464,1),(507,1),(509,1),(511,1),(545,1)}
       477:{1,4,6}:{(433,1),(434,1),(441,1)}
       478:{1,3,5,6,7}:{(434,1),(435,1),(437,1),(442,1),(466,1),(509,1),(511,1),(512,1),(546,1)}
       479:{1,5,6}:{(436,1),(443,1),(512,1)}
       480:{1,4,6,7}:{(436,1),(437,1),(438,1),(444,1),(512,1)}
       481:{3,4,6}:{(439,1),(441,1),(513,1)}
       482:{3,6,7}:{(440,1),(468,1)}
       483:{2,4,5,6}:{(441,1),(443,1),(445,1),(510,1),(513,1),(515,1),(544,1)}
       484:{2,4,6,7}:{(441,1),(442,1),(446,1),(469,1),(511,1),(514,1),(515,1)}
       485:{2,5,7}:{(443,1),(444,1),(447,1),(512,1)}
       486:{1,4,5,7}:{(445,1),(446,1),(447,1),(515,1),(552,1)}
       487:{1,3,4}:{(448,1),(449,1),(516,1)}
       488:{1,2,4,5}:{(448,1),(450,1),(458,1),(516,1),(517,1),(521,1)}
       489:{2,3,5}:{(449,1),(450,1),(453,1),(516,1),(518,1)}
       490:{2,4,6}:{(450,1),(451,1),(460,1),(518,1),(519,1)}
       491:{1,3,4,7}:{(451,1),(452,1),(455,1),(461,1),(519,1),(520,1),(547,1),(548,1)}
       492:{1,3,6}:{(453,1),(454,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(454,1),(455,1),(456,1),(519,1),(520,1)}
       494:{1,3,5}:{(457,1),(458,1),(459,1),(521,1)}
       495:{1,2,5,6}:{(458,1),(460,1),(504,1),(517,1),(522,1),(523,1)}
       496:{2,4,5}:{(459,1),(462,1),(521,1),(524,1)}
       497:{2,3,5,6}:{(459,1),(460,1),(463,1),(506,1),(518,1),(522,1),(524,1),(525,1),(544,1)}
       498:{2,5,7}:{(460,1),(461,1),(507,1),(519,1)}
       499:{1,3,4,6}:{(462,1),(463,1),(465,1),(467,1),(524,1),(526,1)}
       500:{1,3,5,7}:{(463,1),(464,1),(468,1),(509,1),(520,1),(525,1),(526,1)}
       501:{1,4,7}:{(465,1),(466,1),(469,1)}
       502:{3,4,7}:{(467,1),(468,1),(469,1)}
       503:{1,3,5,7}:{(470,1),(471,1),(472,1),(494,1),(527,1),(528,1)}
       504:{1,2,6}:{(471,1),(528,1)}
       505:{2,4,5,7}:{(472,1),(474,1),(496,1),(527,1),(530,1),(541,1),(551,1)}
       506:{2,3,6}:{(472,1),(475,1),(528,1),(530,1)}
       507:{2,6,7}:{(473,1),(498,1)}
       508:{1,3,4,6}:{(474,1),(475,1),(477,1),(481,1),(530,1),(532,1)}
       509:{1,3,6,7}:{(475,1),(476,1),(482,1),(500,1),(531,1)}
       510:{1,4,5,6}:{(477,1),(479,1),(483,1),(532,1),(534,1)}
       511:{1,4,6,7}:{(477,1),(478,1),(484,1),(501,1),(534,1)}
       512:{1,5,7}:{(479,1),(480,1),(485,1)}
       513:{3,5,6}:{(481,1),(483,1),(535,1)}
       514:{3,4,6,7}:{(481,1),(482,1),(484,1),(502,1),(535,1)}
       515:{2,4,5,7}:{(483,1),(484,1),(485,1),(486,1),(534,1),(535,1),(551,1)}
       516:{1,3,5}:{(487,1),(488,1),(489,1),(536,1)}
       517:{1,2,4,6}:{(488,1),(490,1),(495,1),(536,1),(537,1),(539,1)}
       518:{2,3,6}:{(489,1),(490,1),(492,1),(536,1),(538,1)}
       519:{2,4,7}:{(490,1),(491,1),(498,1),(538,1)}
       520:{1,3,7}:{(492,1),(493,1),(538,1)}
       521:{1,4,5}:{(494,1),(496,1),(539,1)}
       522:{1,3,5,6}:{(494,1),(495,1),(497,1),(528,1),(536,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(495,1),(498,1),(529,1),(537,1),(540,1)}
       524:{2,4,6}:{(496,1),(497,1),(499,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(497,1),(498,1),(500,1),(531,1),(538,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(499,1),(500,1),(501,1),(502,1),(541,1)}
       527:{1,4,5,7}:{(503,1),(505,1),(521,1),(542,1),(548,1),(552,1)}
       528:{1,3,6}:{(503,1),(504,1),(506,1),(542,1)}
       529:{1,2,6,7}:{(504,1),(507,1),(523,1),(543,1)}
       530:{2,4,6}:{(505,1),(506,1),(508,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(506,1),(507,1),(509,1),(525,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(508,1),(510,1),(513,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(508,1),(509,1),(511,1),(514,1),(526,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(510,1),(511,1),(512,1),(515,1),(546,1)}
       535:{3,5,7}:{(513,1),(514,1),(515,1)}
       536:{1,3,6}:{(516,1),(517,1),(518,1),(547,1)}
       537:{1,2,4,7}:{(517,1),(519,1),(523,1),(547,1),(548,1)}
       538:{2,3,7}:{(518,1),(519,1),(520,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(540,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(541,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(535,1),(551,1)}
       547:{1,3,7}:{(536,1),(537,1),(538,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(548,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

1858 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(44,1),(48,1),(85,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(108,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(108,1),(138,1),(139,1),(140,1),(146,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(41,1),(83,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(108,1),(115,1),(116,1),(117,1),(146,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(60,1),(103,1),(107,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(106,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(146,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(106,1),(114,1),(139,1),(145,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{2,4,5,6}:{(13,1),(39,1),(40,1),(41,1),(83,1),(86,1),(158,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(42,1),(43,1),(81,1),(84,1),(125,1),(129,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(44,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(41,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(126,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(106,1),(116,1),(137,1),(145,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(23,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{1,4,5,6}:{(23,1),(27,1),(59,1),(61,1),(62,1),(71,1),(97,1),(106,1),(144,1)}
        41:{3,5,6}:{(23,1),(28,1),(60,1),(109,1),(166,1)}
        42:{2,5,6,7}:{(24,1),(26,1),(63,1),(103,1),(146,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1)}
        44:{3,4,6,7}:{(25,1),(28,1),(60,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(145,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(62,1),(66,1),(67,1),(104,1),(111,1),(144,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(143,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(41,1),(44,1),(170,1)}
        61:{2,4,5,6}:{(40,1),(46,1),(80,1),(82,1),(83,1),(86,1),(127,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(47,1),(81,1),(82,1),(83,1),(92,1),(118,1)}
        63:{2,4,6,7}:{(42,1),(43,1),(46,1),(80,1),(84,1)}
        64:{1,3,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(123,1),(129,1),(155,1),(170,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(83,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,5,6}:{(61,1),(66,1),(102,1),(104,1),(109,1)}
        83:{2,5,6}:{(62,1),(67,1),(103,1),(106,1),(114,1),(137,1)}
        84:{3,6,7}:{(63,1),(66,1),(102,1)}
        85:{2,4,6,7}:{(64,1),(67,1),(103,1),(107,1),(108,1),(141,1),(146,1),(164,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(106,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{3,4,6}:{(82,1),(123,1),(126,1),(127,1)}
       105:{2,3,5,6}:{(82,1),(83,1),(88,1),(124,1),(127,1),(128,1),(130,1)}
       106:{1,5,6}:{(83,1),(89,1),(125,1),(134,1),(152,1)}
       107:{2,3,6,7}:{(84,1),(85,1),(88,1),(124,1),(129,1),(170,1)}
       108:{1,4,6,7}:{(85,1),(89,1),(125,1),(129,1),(155,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(127,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(104,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(105,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(106,1),(108,1)}
       126:{3,4,5}:{(104,1),(109,1),(143,1),(174,1)}
       127:{2,4,6}:{(104,1),(105,1),(141,1),(143,1),(144,1)}
       128:{1,3,5,6}:{(105,1),(106,1),(111,1),(142,1),(144,1),(145,1),(147,1),(166,1)}
       129:{1,3,6,7}:{(107,1),(108,1),(111,1),(142,1),(146,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(143,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(144,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(127,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(128,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,4,5}:{(126,1),(127,1),(130,1),(157,1),(172,1)}
       144:{1,4,6}:{(127,1),(128,1),(155,1),(157,1),(158,1)}
       145:{2,5,6}:{(128,1),(132,1),(156,1),(158,1),(159,1)}
       146:{2,6,7}:{(129,1),(132,1),(156,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(144,1),(164,1)}
       156:{2,5,7}:{(142,1),(145,1),(146,1),(164,1)}
       157:{1,4,5}:{(143,1),(144,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(144,1),(145,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1859 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1860 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(52,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(18,1),(25,1),(57,1),(69,1),(120,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(28,1),(31,1),(80,1),(151,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(52,1),(179,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(113,1),(191,1)}
         8:{2,3,4,5}:{(17,1),(20,1),(125,1),(135,1),(200,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(21,1),(52,1),(62,1),(113,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(25,1),(120,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(216,1)}
        15:{3,4,6,7}:{(7,1),(30,1),(31,1)}
        16:{2,3,5,6,7}:{(7,1),(10,1),(28,1),(31,1),(32,1),(39,1),(71,1),(77,1)}
        17:{2,3,4,6}:{(8,1),(12,1),(33,1),(34,1),(99,1),(154,1),(159,1)}
        18:{3,4,5,6}:{(30,1),(35,1),(231,1),(289,1)}
        19:{2,3,4,5,7}:{(8,1),(33,1),(36,1),(37,1),(76,1),(77,1),(136,1),(162,1),(170,1),(227,1),(274,1),(283,1),(290,1),(309,1)}
        20:{1,3,4,5}:{(8,1),(34,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(33,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(34,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(83,1),(86,1),(99,1),(157,1),(168,1),(172,1),(235,1),(237,1),(242,1),(243,1),(288,1),(290,1),(310,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(52,1),(103,1),(113,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(250,1)}
        29:{1,3,4,5,6}:{(18,1),(46,1),(49,1),(57,1),(107,1),(120,1),(183,1),(251,1)}
        30:{3,4,5,7}:{(15,1),(18,1),(50,1),(191,1),(299,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(50,1),(52,1)}
        32:{1,3,5,6,7}:{(16,1),(22,1),(48,1),(52,1),(53,1),(62,1),(103,1),(110,1),(113,1)}
        33:{2,3,4,7}:{(17,1),(23,1),(54,1),(132,1),(188,1),(193,1)}
        34:{1,3,4,6}:{(17,1),(20,1),(25,1),(54,1),(55,1),(117,1),(134,1)}
        35:{2,4,5,6}:{(18,1),(50,1),(56,1),(57,1),(267,1)}
        36:{2,3,4,6}:{(19,1),(56,1),(58,1),(201,1),(209,1),(261,1),(267,1),(295,1),(313,1)}
        37:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(58,1),(59,1),(109,1),(110,1),(123,1),(173,1),(188,1),(200,1),(208,1),(259,1),(268,1),(294,1)}
        38:{2,4,5}:{(20,1),(55,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(113,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(53,1),(63,1),(64,1),(176,1),(186,1),(206,1),(270,1),(302,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(54,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(115,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(265,1),(300,1)}
        44:{2,5,6}:{(25,1),(55,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(117,1),(120,1),(197,1),(266,1),(303,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(30,1),(70,1),(78,1),(137,1),(147,1),(213,1),(216,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(139,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(276,1)}
        49:{2,4,5,6}:{(29,1),(70,1),(74,1),(75,1),(143,1),(221,1),(277,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(35,1),(77,1),(78,1),(283,1)}
        51:{2,3,4,6,7}:{(31,1),(33,1),(36,1),(39,1),(71,1),(77,1),(79,1),(136,1),(150,1),(166,1),(215,1),(228,1),(283,1)}
        52:{1,4,6,7}:{(31,1),(32,1),(78,1),(80,1)}
        53:{2,5,6,7}:{(32,1),(80,1),(92,1),(139,1),(146,1)}
        54:{1,3,4,7}:{(33,1),(34,1),(42,1),(82,1),(152,1),(169,1)}
        55:{2,4,6}:{(34,1),(38,1),(44,1),(82,1),(84,1)}
        56:{2,3,5,6}:{(35,1),(36,1),(77,1),(85,1),(231,1),(242,1),(277,1)}
        57:{1,4,5,6}:{(35,1),(78,1),(85,1),(86,1),(237,1)}
        58:{1,3,4,6}:{(36,1),(37,1),(85,1),(87,1),(159,1),(160,1),(237,1),(243,1),(307,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(82,1),(87,1),(89,1),(145,1),(146,1),(210,1),(226,1),(238,1)}
        60:{1,2,4,5}:{(38,1),(83,1),(90,1),(164,1),(172,1),(235,1)}
        61:{2,3,5}:{(38,1),(84,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(80,1),(92,1),(93,1),(94,1),(166,1),(243,1),(288,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(81,1),(93,1),(94,1),(167,1),(214,1),(225,1),(276,1),(287,1)}
        65:{2,5,7}:{(42,1),(44,1),(82,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(152,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(83,1),(95,1),(98,1),(235,1),(288,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(84,1),(96,1),(98,1),(99,1),(154,1),(156,1),(234,1),(235,1),(242,1),(288,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(159,1),(237,1),(289,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(49,1),(101,1),(102,1),(174,1),(247,1),(250,1)}
        71:{2,3,6,7}:{(47,1),(101,1),(103,1),(113,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(102,1),(103,1)}
        73:{1,2,5,6,7}:{(48,1),(53,1),(104,1),(105,1),(127,1),(186,1),(250,1),(296,1),(302,1)}
        74:{2,3,5,6}:{(49,1),(101,1),(106,1),(107,1),(120,1)}
        75:{1,4,5,6}:{(49,1),(102,1),(107,1),(254,1),(296,1)}
        76:{2,3,4,5}:{(106,1),(109,1),(200,1),(255,1),(256,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(56,1),(110,1),(191,1),(206,1),(250,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(57,1),(110,1),(111,1),(259,1)}
        79:{1,3,4,6,7}:{(51,1),(52,1),(54,1),(58,1),(62,1),(103,1),(110,1),(112,1),(113,1),(173,1),(188,1),(189,1),(205,1),(249,1),(259,1)}
        80:{2,4,6,7}:{(52,1),(53,1),(111,1),(113,1)}
        81:{2,3,5,6,7}:{(53,1),(64,1),(105,1),(113,1),(114,1),(128,1),(177,1),(187,1),(191,1),(206,1),(250,1),(258,1),(264,1),(302,1),(313,1)}
        82:{2,4,7}:{(54,1),(55,1),(65,1),(116,1)}
        83:{1,2,4,6}:{(55,1),(60,1),(67,1),(115,1),(117,1),(134,1),(196,1)}
        84:{2,3,6}:{(55,1),(61,1),(116,1),(117,1)}
        85:{1,3,5,6}:{(56,1),(57,1),(58,1),(110,1),(119,1),(120,1),(270,1),(296,1)}
        86:{2,4,5,6}:{(57,1),(111,1),(119,1),(120,1),(199,1)}
        87:{2,4,6}:{(58,1),(59,1),(119,1),(122,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(115,1),(121,1),(123,1),(184,1),(186,1),(204,1),(208,1),(244,1),(259,1),(265,1),(268,1),(269,1),(294,1),(300,1),(311,1)}
        89:{2,3,5,7}:{(59,1),(61,1),(116,1),(122,1),(123,1),(124,1),(185,1),(203,1),(245,1)}
        90:{1,3,5}:{(60,1),(61,1),(117,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(113,1),(128,1),(266,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(114,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(115,1),(127,1),(131,1),(265,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(116,1),(128,1),(131,1),(132,1),(193,1),(206,1),(265,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(117,1),(131,1),(134,1),(197,1),(266,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(197,1),(200,1),(268,1),(303,1)}
       101:{2,3,5,7}:{(70,1),(71,1),(74,1),(136,1),(137,1),(147,1)}
       102:{1,4,5,7}:{(70,1),(72,1),(75,1),(137,1),(273,1),(276,1)}
       103:{1,3,6,7}:{(71,1),(72,1),(137,1),(139,1)}
       104:{1,2,4,6,7}:{(72,1),(73,1),(80,1),(138,1),(139,1),(140,1),(141,1),(215,1),(307,1),(310,1),(314,1)}
       105:{1,3,5,6,7}:{(73,1),(81,1),(140,1),(141,1),(165,1),(216,1),(225,1),(241,1),(287,1)}
       106:{2,3,4,6}:{(74,1),(76,1),(136,1),(142,1),(159,1),(221,1),(278,1)}
       107:{1,3,5,6}:{(74,1),(75,1),(137,1),(142,1),(143,1)}
       108:{1,2,4,5,6}:{(75,1),(86,1),(138,1),(143,1),(144,1),(157,1),(217,1),(218,1),(221,1),(237,1),(277,1),(281,1),(290,1),(307,1),(308,1),(310,1),(314,1)}
       109:{1,3,4,5}:{(76,1),(142,1),(145,1),(223,1),(281,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(85,1),(146,1),(147,1),(241,1),(276,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(86,1),(146,1),(147,1),(226,1)}
       112:{2,4,6,7}:{(79,1),(82,1),(87,1),(92,1),(139,1),(146,1),(149,1),(210,1),(226,1)}
       113:{3,6,7}:{(80,1),(147,1)}
       114:{2,4,6,7}:{(81,1),(94,1),(141,1),(150,1),(151,1),(226,1),(283,1),(285,1),(310,1)}
       115:{1,2,4,7}:{(82,1),(83,1),(95,1),(152,1),(169,1),(232,1)}
       116:{2,3,7}:{(82,1),(84,1),(152,1)}
       117:{1,3,6}:{(83,1),(84,1),(90,1),(152,1),(154,1)}
       118:{2,3,4,6}:{(84,1),(91,1),(99,1),(153,1),(155,1),(156,1),(234,1),(289,1)}
       119:{2,5,6}:{(85,1),(87,1),(146,1)}
       120:{3,5,6}:{(86,1),(147,1),(159,1)}
       121:{1,2,4,6}:{(87,1),(88,1),(157,1),(160,1),(237,1),(239,1),(243,1),(288,1),(307,1),(310,1),(314,1)}
       122:{2,3,6}:{(87,1),(89,1),(160,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(90,1),(152,1),(160,1),(162,1),(163,1),(223,1),(240,1),(271,1),(309,1)}
       124:{2,3,4,7}:{(89,1),(91,1),(161,1),(163,1),(224,1),(226,1)}
       125:{2,3,5}:{(90,1),(154,1),(164,1),(235,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(288,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(234,1),(288,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(150,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(151,1),(167,1),(168,1),(276,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(152,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(233,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(156,1),(172,1),(235,1)}
       136:{2,3,4,7}:{(101,1),(106,1),(173,1),(188,1),(247,1),(291,1)}
       137:{1,3,5,7}:{(101,1),(102,1),(103,1),(107,1),(173,1),(174,1)}
       138:{1,2,4,5,7}:{(102,1),(104,1),(108,1),(111,1),(174,1),(175,1),(179,1),(186,1),(244,1),(247,1),(250,1),(259,1),(294,1),(300,1),(311,1)}
       139:{2,6,7}:{(103,1),(174,1)}
       140:{1,3,6,7}:{(104,1),(113,1),(175,1),(177,1),(312,1),(313,1)}
       141:{1,4,6,7}:{(105,1),(114,1),(179,1),(259,1),(301,1)}
       142:{1,3,4,6}:{(106,1),(107,1),(109,1),(173,1),(180,1),(252,1),(254,1)}
       143:{2,5,6}:{(107,1),(174,1),(180,1)}
       144:{1,3,5,6}:{(108,1),(120,1),(175,1),(182,1),(183,1),(252,1),(298,1),(303,1),(312,1),(313,1)}
       145:{2,4,5}:{(109,1),(180,1),(185,1)}
       146:{2,5,7}:{(110,1),(112,1),(119,1)}
       147:{3,5,7}:{(111,1),(113,1),(120,1),(188,1)}
       148:{1,2,4,6,7}:{(112,1),(115,1),(121,1),(127,1),(176,1),(186,1),(189,1),(205,1),(244,1),(249,1),(259,1),(262,1)}
       149:{2,3,6,7}:{(112,1),(113,1),(116,1),(122,1),(187,1),(189,1),(245,1)}
       150:{3,4,6,7}:{(113,1),(114,1),(188,1),(191,1),(261,1),(299,1),(313,1)}
       151:{2,4,5,7}:{(114,1),(130,1),(179,1),(191,1),(192,1),(206,1),(250,1)}
       152:{1,3,7}:{(115,1),(116,1),(117,1),(193,1)}
       153:{2,3,4,7}:{(116,1),(118,1),(132,1),(194,1),(195,1),(299,1)}
       154:{2,3,6}:{(117,1),(125,1),(193,1),(196,1)}
       155:{1,3,4,6}:{(117,1),(118,1),(126,1),(134,1),(194,1),(196,1),(197,1),(266,1)}
       156:{2,3,5}:{(118,1),(135,1),(197,1),(303,1)}
       157:{1,2,5,6}:{(119,1),(121,1),(186,1),(198,1),(269,1),(270,1),(296,1),(302,1)}
       158:{2,3,5,6}:{(119,1),(120,1),(122,1),(187,1),(198,1),(199,1),(203,1)}
       159:{3,4,6}:{(120,1),(188,1),(199,1),(200,1)}
       160:{1,3,6}:{(121,1),(122,1),(123,1),(201,1),(313,1)}
       161:{2,3,4,6}:{(122,1),(124,1),(199,1),(202,1),(203,1)}
       162:{2,3,5,7}:{(123,1),(125,1),(193,1),(201,1),(204,1),(256,1),(265,1),(269,1),(291,1),(311,1)}
       163:{1,3,4,7}:{(123,1),(124,1),(126,1),(202,1),(204,1),(257,1),(259,1),(299,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(266,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(191,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(192,1),(207,1),(296,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(195,1),(206,1),(208,1),(209,1),(265,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(266,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(197,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(142,1),(210,1),(271,1),(273,1)}
       174:{2,5,7}:{(137,1),(139,1),(143,1),(210,1)}
       175:{1,3,5,7}:{(138,1),(140,1),(144,1),(147,1),(212,1),(213,1),(271,1),(309,1)}
       176:{1,2,6,7}:{(139,1),(211,1),(214,1),(314,1)}
       177:{2,3,6,7}:{(139,1),(140,1),(212,1),(214,1),(215,1),(306,1),(314,1)}
       178:{1,3,4,6,7}:{(140,1),(141,1),(150,1),(213,1),(215,1),(216,1),(275,1)}
       179:{1,4,5,7}:{(141,1),(151,1),(216,1),(217,1),(241,1)}
       180:{2,4,6}:{(142,1),(143,1),(145,1),(210,1),(219,1)}
       181:{1,2,5,6}:{(143,1),(211,1),(218,1),(220,1),(308,1),(314,1)}
       182:{2,3,5,6}:{(143,1),(144,1),(212,1),(219,1),(220,1),(221,1),(277,1),(278,1),(280,1),(306,1),(308,1),(314,1)}
       183:{1,3,4,6}:{(144,1),(159,1),(213,1),(221,1),(222,1),(237,1),(289,1)}
       184:{1,2,4,5}:{(145,1),(218,1),(223,1),(281,1),(282,1),(308,1)}
       185:{2,3,5}:{(145,1),(219,1),(223,1),(224,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(157,1),(225,1),(241,1),(276,1),(286,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(158,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(159,1),(226,1)}
       189:{1,3,6,7}:{(148,1),(149,1),(152,1),(160,1),(225,1),(228,1),(271,1)}
       190:{2,3,4,6,7}:{(149,1),(150,1),(153,1),(161,1),(166,1),(215,1),(226,1),(229,1),(230,1),(234,1),(272,1),(285,1),(306,1)}
       191:{3,5,7}:{(150,1),(151,1),(231,1)}
       192:{2,4,5,6}:{(151,1),(168,1),(217,1),(231,1),(242,1),(277,1),(285,1),(310,1)}
       193:{2,3,7}:{(152,1),(154,1),(232,1)}
       194:{1,3,4,7}:{(152,1),(153,1),(155,1),(169,1),(232,1),(233,1)}
       195:{2,3,5,7}:{(153,1),(156,1),(170,1),(233,1),(234,1),(309,1)}
       196:{2,4,6}:{(154,1),(155,1),(164,1),(232,1),(235,1),(288,1)}
       197:{1,3,5}:{(155,1),(156,1),(172,1),(235,1)}
       198:{1,3,5,6}:{(157,1),(158,1),(160,1),(225,1),(236,1),(237,1),(240,1)}
       199:{2,4,6}:{(158,1),(159,1),(226,1),(237,1),(238,1)}
       200:{3,4,5}:{(159,1),(238,1)}
       201:{2,3,6}:{(160,1),(162,1),(239,1),(288,1),(314,1)}
       202:{1,3,4,6}:{(160,1),(161,1),(163,1),(237,1),(239,1),(240,1),(289,1)}
       203:{2,3,5}:{(161,1),(238,1),(240,1)}
       204:{2,4,7}:{(162,1),(163,1),(164,1),(239,1),(282,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(231,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(233,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(234,1),(242,1),(243,1),(288,1)}
       210:{2,4,7}:{(173,1),(174,1),(180,1),(245,1)}
       211:{1,2,5,7}:{(174,1),(176,1),(181,1),(244,1),(246,1),(311,1)}
       212:{2,3,5,7}:{(174,1),(175,1),(177,1),(182,1),(245,1),(246,1),(247,1),(250,1),(291,1),(311,1)}
       213:{1,3,4,7}:{(175,1),(183,1),(188,1),(247,1),(259,1),(299,1)}
       214:{1,3,6,7}:{(176,1),(177,1),(246,1),(249,1),(312,1)}
       215:{2,4,6,7}:{(177,1),(178,1),(247,1),(249,1),(250,1),(295,1)}
       216:{1,3,5,7}:{(178,1),(179,1),(191,1),(250,1),(251,1)}
       217:{1,4,5,6}:{(179,1),(192,1),(251,1),(270,1),(301,1)}
       218:{1,2,4,6}:{(180,1),(181,1),(184,1),(244,1),(252,1),(254,1),(297,1)}
       219:{2,3,6}:{(180,1),(185,1),(245,1),(252,1)}
       220:{1,3,5,6}:{(181,1),(182,1),(246,1),(252,1),(254,1),(296,1),(298,1),(312,1)}
       221:{2,4,6}:{(182,1),(183,1),(247,1),(254,1),(255,1)}
       222:{1,3,4,5}:{(183,1),(200,1),(255,1),(268,1),(298,1),(303,1)}
       223:{1,3,5}:{(184,1),(185,1),(252,1),(256,1),(257,1)}
       224:{2,3,4}:{(185,1),(257,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(198,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(199,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(200,1),(260,1),(261,1)}
       228:{2,3,6,7}:{(189,1),(193,1),(201,1),(258,1),(262,1),(291,1),(313,1)}
       229:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(202,1),(205,1),(249,1),(259,1),(262,1),(263,1),(266,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       230:{2,3,5,7}:{(190,1),(191,1),(203,1),(206,1),(250,1),(260,1),(263,1),(264,1)}
       231:{3,5,6}:{(191,1),(192,1),(261,1),(313,1)}
       232:{2,4,7}:{(193,1),(194,1),(196,1),(265,1)}
       233:{1,3,5,7}:{(194,1),(195,1),(197,1),(208,1),(265,1),(266,1)}
       234:{2,3,6}:{(195,1),(209,1),(266,1),(313,1)}
       235:{2,5}:{(196,1),(197,1)}
       236:{2,3,5,6}:{(198,1),(201,1),(258,1),(267,1),(269,1),(302,1),(303,1),(313,1)}
       237:{1,4,6}:{(198,1),(199,1),(259,1),(267,1),(268,1)}
       238:{2,4,5}:{(199,1),(200,1),(203,1),(268,1)}
       239:{2,4,6}:{(201,1),(202,1),(204,1),(269,1)}
       240:{1,3,5}:{(202,1),(203,1),(268,1),(269,1),(303,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(266,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(218,1),(271,1),(273,1),(304,1)}
       245:{2,3,7}:{(210,1),(219,1),(271,1)}
       246:{1,3,5,7}:{(211,1),(212,1),(214,1),(220,1),(271,1),(273,1),(276,1)}
       247:{2,4,7}:{(212,1),(213,1),(221,1),(273,1)}
       248:{1,3,4,5,7}:{(213,1),(216,1),(222,1),(227,1),(274,1),(275,1),(284,1),(305,1),(309,1)}
       249:{1,4,6,7}:{(214,1),(215,1),(273,1),(276,1),(307,1)}
       250:{2,5,7}:{(215,1),(216,1),(276,1),(277,1)}
       251:{1,3,5,6}:{(216,1),(217,1),(231,1),(275,1),(277,1)}
       252:{1,3,6}:{(218,1),(219,1),(223,1),(271,1),(278,1)}
       253:{2,3,4,6}:{(219,1),(221,1),(224,1),(272,1),(279,1),(280,1),(289,1),(306,1)}
       254:{1,4,6}:{(220,1),(221,1),(273,1),(281,1)}
       255:{2,4,5}:{(221,1),(222,1),(280,1),(281,1),(308,1)}
       256:{2,3,5}:{(223,1),(278,1),(282,1),(308,1)}
       257:{1,3,4}:{(223,1),(224,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(236,1),(283,1),(286,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(237,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(238,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(231,1),(285,1)}
       262:{2,4,6,7}:{(228,1),(229,1),(232,1),(239,1),(283,1),(286,1),(288,1),(304,1),(310,1),(314,1)}
       263:{1,3,5,7}:{(229,1),(230,1),(240,1),(241,1),(276,1),(284,1),(286,1),(287,1),(309,1)}
       264:{2,3,5,6}:{(230,1),(231,1),(234,1),(242,1),(277,1),(285,1),(287,1),(306,1)}
       265:{2,5,7}:{(232,1),(233,1),(235,1),(288,1)}
       266:{1,3,6}:{(233,1),(234,1),(243,1),(288,1)}
       267:{2,4,6}:{(236,1),(237,1),(283,1),(289,1),(290,1)}
       268:{1,4,5}:{(237,1),(238,1),(240,1),(290,1)}
       269:{2,5}:{(239,1),(240,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(252,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(253,1),(292,1),(293,1),(299,1)}
       273:{1,4,7}:{(246,1),(247,1),(254,1)}
       274:{2,4,5,7}:{(247,1),(248,1),(250,1),(255,1),(293,1),(294,1),(295,1),(311,1)}
       275:{1,3,4,6}:{(248,1),(251,1),(261,1),(295,1),(301,1),(312,1),(313,1)}
       276:{1,5,7}:{(249,1),(250,1),(296,1)}
       277:{2,5,6}:{(250,1),(251,1),(295,1),(296,1)}
       278:{2,3,6}:{(252,1),(256,1),(291,1),(297,1)}
       279:{1,3,4,6}:{(252,1),(253,1),(254,1),(257,1),(292,1),(297,1),(298,1),(312,1)}
       280:{2,3,5}:{(253,1),(255,1),(298,1),(303,1)}
       281:{1,4,5}:{(254,1),(255,1),(298,1)}
       282:{2,4}:{(256,1),(257,1)}
       283:{2,4,7}:{(258,1),(259,1),(267,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(268,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(264,1),(301,1)}
       286:{2,5,7}:{(262,1),(263,1),(269,1),(302,1)}
       287:{1,3,5,6}:{(263,1),(264,1),(266,1),(270,1),(296,1),(301,1),(302,1),(312,1),(313,1)}
       288:{2,6}:{(265,1),(266,1)}
       289:{3,4,6}:{(267,1),(299,1),(303,1),(313,1)}
       290:{2,4,5}:{(267,1),(268,1),(269,1),(303,1)}
       291:{2,3,7}:{(271,1),(278,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(273,1),(279,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(274,1),(280,1),(305,1),(306,1),(309,1)}
       294:{1,4,5,7}:{(273,1),(274,1),(276,1),(281,1),(305,1),(307,1)}
       295:{2,4,6}:{(274,1),(275,1),(277,1),(306,1),(307,1),(314,1)}
       296:{1,5,6}:{(276,1),(277,1),(307,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(304,1),(308,1),(314,1)}
       298:{1,3,5}:{(279,1),(280,1),(281,1),(308,1)}
       299:{3,4,7}:{(283,1),(289,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(286,1),(290,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(287,1),(310,1)}
       302:{2,5,6}:{(286,1),(287,1),(288,1),(310,1),(314,1)}
       303:{3,5}:{(289,1),(290,1)}
       304:{2,4,7}:{(291,1),(292,1),(297,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(295,1),(312,1),(313,1)}
       307:{1,4,6}:{(294,1),(295,1),(296,1),(312,1)}
       308:{2,5}:{(297,1),(298,1)}
       309:{3,5,7}:{(299,1),(300,1),(303,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(302,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(308,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

1861 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(27,1),(31,1),(40,1),(42,1),(85,1),(94,1),(95,1),(145,1),(175,1),(218,1),(223,1),(227,1),(268,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(80,1),(152,1),(223,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(44,1),(49,1),(51,1),(60,1),(71,1),(110,1),(179,1),(191,1),(192,1),(196,1),(197,1),(242,1),(250,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(183,1),(245,1),(250,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(53,1),(59,1),(64,1),(66,1),(122,1),(198,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(250,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(117,1),(190,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(73,1),(74,1),(85,1),(92,1),(144,1),(147,1),(148,1),(167,1),(213,1),(223,1),(227,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(26,1),(27,1),(28,1),(31,1),(74,1),(81,1),(85,1),(94,1),(147,1),(154,1),(160,1),(223,1),(227,1)}
        12:{1,3,4,6}:{(3,1),(28,1),(29,1),(37,1),(86,1),(100,1),(162,1),(163,1),(211,1),(229,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(268,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(85,1),(94,1),(157,1),(226,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(229,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(88,1),(94,1),(161,1),(218,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(152,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,5,7}:{(10,1),(44,1),(45,1),(46,1),(110,1),(129,1),(202,1),(242,1),(250,1),(254,1)}
        24:{1,2,4,6}:{(10,1),(46,1),(47,1),(53,1),(109,1),(114,1),(122,1),(198,1),(240,1),(306,1)}
        25:{1,3,4,6,7}:{(12,1),(48,1),(49,1),(57,1),(115,1),(128,1),(191,1),(192,1),(250,1)}
        26:{2,3,5,7}:{(11,1),(50,1),(51,1),(52,1),(71,1),(121,1),(139,1),(242,1),(250,1),(254,1),(283,1)}
        27:{1,4,5,7}:{(11,1),(51,1),(53,1),(58,1),(108,1),(117,1),(131,1),(185,1),(191,1),(196,1)}
        28:{2,4,6}:{(11,1),(12,1),(52,1),(53,1),(54,1),(122,1)}
        29:{1,3,5,6}:{(12,1),(49,1),(54,1),(55,1),(60,1),(110,1),(126,1)}
        30:{1,3,5,6,7}:{(17,1),(49,1),(56,1),(57,1),(128,1),(176,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(122,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(245,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(190,1),(208,1),(250,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(24,1),(72,1),(73,1),(80,1),(140,1),(144,1),(152,1),(223,1)}
        44:{1,3,4,7}:{(23,1),(74,1),(75,1),(144,1),(216,1),(233,1),(275,1)}
        45:{2,3,5,7}:{(23,1),(74,1),(76,1),(77,1),(85,1),(147,1),(157,1),(226,1)}
        46:{1,3,6}:{(23,1),(24,1),(77,1),(229,1),(264,1)}
        47:{1,2,5,6}:{(24,1),(73,1),(78,1),(88,1),(147,1),(161,1),(167,1),(210,1),(301,1)}
        48:{2,4,6,7}:{(25,1),(28,1),(79,1),(80,1),(81,1),(152,1),(154,1),(223,1)}
        49:{1,3,5,7}:{(25,1),(29,1),(81,1),(82,1),(156,1)}
        50:{2,3,4,7}:{(26,1),(31,1),(74,1),(83,1),(84,1),(103,1),(154,1),(157,1),(174,1),(216,1),(267,1),(273,1),(275,1)}
        51:{1,3,5,7}:{(26,1),(27,1),(83,1),(85,1),(86,1),(159,1),(175,1),(297,1)}
        52:{2,3,6}:{(26,1),(28,1),(86,1),(100,1),(172,1),(229,1),(264,1),(296,1)}
        53:{1,4,6}:{(27,1),(28,1),(86,1),(88,1)}
        54:{2,5,6}:{(28,1),(29,1),(81,1),(88,1),(94,1),(147,1)}
        55:{1,4,5,6}:{(29,1),(37,1),(82,1),(89,1),(95,1),(148,1),(162,1),(211,1),(231,1)}
        56:{2,5,6,7}:{(30,1),(36,1),(81,1),(90,1),(91,1),(210,1)}
        57:{1,4,6,7}:{(30,1),(37,1),(82,1),(91,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(85,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(161,1),(169,1),(172,1),(226,1),(229,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(268,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(152,1),(172,1),(232,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(46,1),(106,1),(107,1),(250,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(47,1),(107,1),(117,1),(178,1),(190,1),(307,1)}
        74:{2,4,7}:{(44,1),(45,1),(108,1),(109,1),(253,1)}
        75:{1,3,4,6}:{(44,1),(46,1),(109,1),(110,1),(114,1),(189,1)}
        76:{1,3,5,7}:{(45,1),(108,1),(111,1),(112,1),(183,1),(185,1),(245,1)}
        77:{2,3,6}:{(45,1),(46,1),(109,1),(112,1),(122,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(107,1),(110,1),(113,1),(114,1),(202,1),(288,1),(289,1),(306,1)}
        79:{2,3,6,7}:{(48,1),(52,1),(115,1),(116,1),(128,1),(201,1),(250,1)}
        80:{1,4,6,7}:{(48,1),(53,1),(115,1),(117,1),(191,1)}
        81:{2,5,7}:{(48,1),(49,1),(54,1),(117,1)}
        82:{1,4,5,7}:{(49,1),(55,1),(57,1),(118,1),(191,1),(252,1)}
        83:{1,3,4,7}:{(50,1),(51,1),(58,1),(108,1),(119,1),(120,1),(129,1),(183,1),(191,1),(209,1),(250,1),(285,1),(290,1)}
        84:{2,3,4,6}:{(50,1),(52,1),(59,1),(109,1),(120,1),(121,1),(124,1),(135,1),(189,1),(194,1),(206,1),(249,1),(253,1),(256,1),(291,1)}
        85:{2,5,7}:{(51,1),(119,1),(122,1),(195,1)}
        86:{1,3,6}:{(51,1),(52,1),(53,1),(122,1),(207,1),(306,1)}
        87:{2,3,5,6}:{(52,1),(54,1),(116,1),(121,1),(123,1),(124,1),(126,1),(200,1),(256,1)}
        88:{1,5,6}:{(53,1),(54,1),(117,1),(131,1),(185,1)}
        89:{2,4,5,6}:{(54,1),(55,1),(66,1),(118,1),(124,1),(125,1),(126,1),(132,1),(186,1),(198,1),(200,1),(240,1)}
        90:{1,5,6,7}:{(56,1),(65,1),(117,1),(127,1),(239,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(66,1),(118,1),(127,1),(128,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(119,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(122,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(190,1),(252,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(250,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(75,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(77,1),(140,1),(142,1),(143,1),(152,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(78,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,4,7}:{(74,1),(76,1),(146,1),(268,1)}
       109:{2,4,6}:{(74,1),(75,1),(77,1),(146,1),(147,1)}
       110:{1,3,5}:{(75,1),(147,1),(148,1),(220,1)}
       111:{1,2,5,7}:{(76,1),(85,1),(145,1),(149,1),(175,1),(218,1)}
       112:{1,3,6}:{(76,1),(77,1),(146,1),(149,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(143,1),(147,1),(150,1),(151,1),(161,1),(210,1),(220,1),(226,1),(229,1),(264,1),(270,1),(271,1),(296,1)}
       114:{1,4,6}:{(78,1),(144,1),(148,1),(151,1),(233,1)}
       115:{1,3,6,7}:{(79,1),(80,1),(86,1),(152,1),(153,1),(232,1)}
       116:{2,3,5,7}:{(79,1),(81,1),(87,1),(153,1),(154,1),(156,1),(225,1),(273,1)}
       117:{1,5,7}:{(80,1),(81,1),(88,1)}
       118:{2,4,5,7}:{(81,1),(82,1),(89,1),(91,1),(154,1),(155,1),(156,1),(223,1),(225,1)}
       119:{2,4,7}:{(83,1),(85,1),(157,1),(158,1),(302,1)}
       120:{1,3,4,6}:{(83,1),(84,1),(86,1),(93,1),(146,1),(158,1),(159,1),(162,1),(166,1),(217,1),(229,1),(233,1),(237,1),(268,1),(272,1),(275,1),(278,1),(303,1)}
       121:{2,3,5}:{(84,1),(94,1),(147,1),(159,1),(160,1),(169,1),(220,1),(235,1),(270,1)}
       122:{2,6}:{(85,1),(86,1)}
       123:{1,3,5,6}:{(86,1),(87,1),(88,1),(153,1),(159,1),(161,1),(162,1),(229,1),(231,1),(278,1)}
       124:{2,4,6}:{(87,1),(154,1),(160,1),(162,1),(163,1)}
       125:{1,4,5,6}:{(88,1),(89,1),(99,1),(155,1),(162,1),(164,1),(168,1),(219,1),(263,1)}
       126:{3,5,6}:{(89,1),(100,1),(156,1),(163,1),(169,1),(220,1),(229,1),(264,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(99,1),(155,1),(165,1),(263,1)}
       128:{3,6,7}:{(91,1),(100,1),(156,1),(264,1)}
       129:{1,3,7}:{(92,1),(157,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(158,1),(166,1),(167,1),(233,1),(272,1),(301,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(161,1),(167,1),(170,1),(172,1),(231,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(229,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(223,1),(274,1),(302,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(109,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(110,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(112,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(113,1),(178,1),(181,1),(182,1),(190,1),(242,1),(250,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(114,1),(182,1)}
       145:{1,2,4,7}:{(108,1),(111,1),(119,1),(183,1),(184,1),(209,1),(262,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1),(185,1)}
       147:{2,5}:{(109,1),(110,1),(185,1)}
       148:{1,4,5}:{(110,1),(114,1),(186,1),(288,1)}
       149:{1,2,6}:{(111,1),(112,1),(122,1),(207,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(181,1),(185,1),(187,1),(188,1),(239,1),(245,1),(247,1),(248,1),(282,1)}
       151:{2,4,6}:{(113,1),(114,1),(182,1),(186,1),(188,1),(189,1),(253,1)}
       152:{2,6,7}:{(115,1),(122,1),(190,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(117,1),(123,1),(190,1),(191,1),(250,1),(252,1),(290,1)}
       154:{2,4,7}:{(116,1),(124,1),(191,1),(192,1)}
       155:{1,4,5,7}:{(117,1),(118,1),(125,1),(127,1),(191,1),(193,1)}
       156:{3,5,7}:{(118,1),(126,1),(128,1),(192,1),(250,1)}
       157:{2,3,7}:{(119,1),(129,1),(183,1),(194,1),(250,1)}
       158:{2,4,6}:{(119,1),(120,1),(122,1),(194,1),(195,1),(253,1),(293,1),(310,1)}
       159:{1,3,5}:{(120,1),(121,1),(131,1),(185,1),(195,1),(196,1),(254,1),(260,1),(288,1)}
       160:{2,4,5}:{(121,1),(124,1),(196,1),(197,1),(253,1)}
       161:{2,5,6}:{(122,1),(123,1),(190,1),(195,1),(198,1),(293,1)}
       162:{1,4,6}:{(123,1),(124,1),(191,1),(196,1),(198,1)}
       163:{3,4,6}:{(124,1),(126,1),(192,1),(197,1)}
       164:{1,3,5,6}:{(125,1),(126,1),(136,1),(193,1),(199,1),(200,1),(204,1),(247,1),(282,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(136,1),(193,1),(201,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(194,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(195,1),(202,1),(288,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(198,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(250,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(146,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(147,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(148,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(149,1),(152,1),(214,1),(232,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(150,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(151,1),(215,1),(216,1)}
       183:{1,3,7}:{(145,1),(157,1),(217,1)}
       184:{1,2,4,6}:{(145,1),(146,1),(149,1),(158,1),(217,1),(218,1),(237,1),(268,1),(281,1),(305,1)}
       185:{1,5}:{(146,1),(147,1)}
       186:{2,4,5}:{(147,1),(148,1),(151,1),(219,1),(220,1),(270,1)}
       187:{1,2,5,6}:{(149,1),(150,1),(161,1),(214,1),(218,1),(221,1),(231,1),(270,1),(296,1)}
       188:{1,4,6}:{(150,1),(151,1),(215,1),(219,1),(268,1)}
       189:{3,4,6}:{(151,1),(216,1),(220,1),(229,1),(264,1),(275,1)}
       190:{2,5,7}:{(152,1),(153,1),(161,1),(223,1),(302,1)}
       191:{1,4,7}:{(153,1),(154,1),(162,1),(223,1)}
       192:{3,4,7}:{(154,1),(156,1),(163,1)}
       193:{1,3,5,7}:{(155,1),(156,1),(164,1),(165,1),(224,1),(225,1)}
       194:{2,3,6}:{(157,1),(158,1),(166,1),(217,1),(226,1),(229,1),(313,1)}
       195:{2,5}:{(158,1),(159,1)}
       196:{1,4,5}:{(159,1),(160,1),(162,1),(227,1),(233,1),(268,1)}
       197:{3,4,5}:{(160,1),(163,1),(169,1),(220,1),(275,1)}
       198:{2,4,6}:{(161,1),(162,1),(223,1),(227,1),(229,1)}
       199:{1,3,4,6}:{(162,1),(163,1),(164,1),(224,1),(228,1),(229,1),(230,1),(278,1)}
       200:{2,5,6}:{(164,1),(172,1),(225,1),(230,1),(231,1),(235,1),(270,1),(296,1)}
       201:{2,6,7}:{(165,1),(172,1),(225,1),(232,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(226,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(227,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(229,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(302,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(185,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(186,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(187,1),(190,1),(243,1),(252,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(188,1)}
       216:{3,4,7}:{(182,1),(189,1),(242,1),(250,1)}
       217:{1,3,6}:{(183,1),(184,1),(194,1),(245,1),(311,1)}
       218:{1,2,5}:{(184,1),(185,1),(195,1),(245,1),(260,1)}
       219:{1,4,5}:{(185,1),(186,1),(188,1),(247,1)}
       220:{3,5}:{(186,1),(189,1)}
       221:{1,2,4,6}:{(187,1),(188,1),(198,1),(243,1),(246,1),(248,1),(249,1),(257,1),(293,1)}
       222:{1,3,4,6}:{(188,1),(189,1),(244,1),(247,1),(248,1),(249,1),(282,1),(286,1)}
       223:{2,4,7}:{(190,1),(191,1),(198,1),(250,1)}
       224:{1,3,4,7}:{(191,1),(192,1),(193,1),(199,1),(250,1),(251,1),(290,1)}
       225:{2,5,7}:{(193,1),(200,1),(201,1),(251,1),(252,1)}
       226:{2,3,5}:{(194,1),(195,1),(202,1),(245,1),(253,1),(254,1)}
       227:{2,4,5}:{(195,1),(196,1),(198,1),(253,1),(254,1)}
       228:{1,3,4,5}:{(196,1),(197,1),(199,1),(204,1),(247,1),(254,1),(255,1),(258,1),(286,1),(292,1)}
       229:{3,6}:{(198,1),(250,1),(254,1)}
       230:{2,4,6}:{(199,1),(200,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       231:{1,5,6}:{(200,1),(207,1),(252,1),(257,1),(260,1),(288,1),(306,1)}
       232:{1,6,7}:{(201,1),(207,1),(252,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(219,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(220,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(221,1),(223,1),(266,1),(267,1),(274,1),(302,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(222,1),(265,1),(266,1),(267,1)}
       245:{1,3,5}:{(217,1),(218,1),(226,1),(268,1)}
       246:{1,2,4,5}:{(218,1),(219,1),(221,1),(227,1),(268,1),(269,1),(270,1),(277,1),(299,1),(304,1),(305,1)}
       247:{1,3,5}:{(219,1),(220,1),(222,1),(270,1)}
       248:{1,3,6}:{(221,1),(229,1),(266,1),(269,1),(271,1)}
       249:{2,4,6}:{(222,1),(267,1),(270,1),(271,1),(272,1),(296,1),(299,1)}
       250:{3,7}:{(223,1),(229,1)}
       251:{2,4,7}:{(224,1),(225,1),(230,1),(273,1),(274,1),(302,1)}
       252:{1,5,7}:{(225,1),(231,1),(232,1),(274,1)}
       253:{2,4}:{(226,1),(233,1),(268,1),(275,1)}
       254:{3,5}:{(227,1),(229,1),(275,1)}
       255:{2,4,5}:{(228,1),(230,1),(235,1),(270,1),(276,1),(277,1),(279,1),(299,1),(304,1)}
       256:{2,3,6}:{(229,1),(230,1),(273,1),(276,1),(278,1)}
       257:{1,4,6}:{(230,1),(231,1),(274,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(302,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(247,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(248,1),(250,1),(284,1)}
       267:{2,4,7}:{(244,1),(249,1),(283,1),(284,1),(285,1)}
       268:{1,4}:{(245,1),(253,1)}
       269:{1,3,5}:{(246,1),(248,1),(254,1),(286,1),(287,1),(311,1)}
       270:{2,5}:{(247,1),(249,1),(288,1)}
       271:{2,3,6}:{(248,1),(249,1),(284,1),(287,1),(289,1),(293,1)}
       272:{1,4,6}:{(249,1),(285,1),(288,1),(289,1),(306,1),(308,1)}
       273:{2,3,7}:{(250,1),(251,1),(256,1),(290,1)}
       274:{1,4,7}:{(251,1),(252,1),(257,1),(290,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(288,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(290,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(270,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(271,1),(298,1),(302,1)}
       285:{1,4,7}:{(267,1),(272,1),(297,1),(298,1)}
       286:{1,3,4}:{(268,1),(269,1),(275,1),(299,1)}
       287:{2,3,5}:{(269,1),(270,1),(271,1),(299,1),(300,1),(304,1),(313,1)}
       288:{1,5}:{(270,1),(272,1)}
       289:{1,3,6}:{(271,1),(272,1),(298,1),(300,1),(301,1)}
       290:{1,3,7}:{(273,1),(274,1),(278,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(299,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(302,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(288,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(289,1),(307,1)}
       299:{2,4}:{(286,1),(287,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(289,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(289,1),(293,1),(307,1),(309,1)}
       302:{2,7}:{(290,1),(293,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1862 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(63,1),(136,1),(237,1),(240,1),(242,1),(353,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(298,1),(404,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(95,1),(403,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(135,1),(240,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(136,1),(280,1),(351,1),(354,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(451,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(242,1),(352,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(97,1),(196,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(298,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(186,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(107,1),(118,1),(120,1),(188,1),(191,1),(301,1),(314,1),(403,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(254,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(238,1),(281,1),(354,1),(390,1),(392,1),(451,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(240,1),(370,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(242,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(155,1),(168,1),(169,1),(244,1),(249,1),(358,1),(371,1),(451,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(403,1),(418,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(194,1),(224,1),(231,1),(313,1),(339,1),(342,1),(419,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(191,1),(196,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(296,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(298,1),(421,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(210,1),(308,1),(415,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(66,1),(143,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(72,1),(84,1),(151,1),(160,1),(162,1),(248,1),(264,1),(266,1),(271,1)}
        42:{1,3,4,5,6}:{(27,1),(69,1),(70,1),(79,1),(140,1),(257,1),(259,1),(262,1),(370,1),(374,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(448,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(451,1),(464,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(252,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(249,1),(254,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(352,1),(451,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(460,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(268,1),(358,1),(364,1),(476,1)}
        63:{1,2,3,5}:{(93,1),(95,1),(182,1),(184,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(100,1),(111,1),(184,1),(288,1)}
        65:{2,3,4,5,7}:{(40,1),(46,1),(99,1),(101,1),(102,1),(129,1),(195,1),(202,1),(228,1),(303,1),(311,1),(412,1),(417,1),(419,1),(479,1),(501,1)}
        66:{2,3,4,6}:{(40,1),(47,1),(96,1),(100,1),(102,1),(196,1),(304,1),(418,1)}
        67:{1,2,3,5,7}:{(41,1),(104,1),(105,1),(125,1),(205,1),(207,1),(215,1),(307,1),(329,1)}
        68:{1,2,4,6}:{(41,1),(44,1),(103,1),(105,1),(106,1),(304,1),(328,1)}
        69:{2,4,5,6}:{(42,1),(47,1),(96,1),(107,1),(108,1),(118,1),(191,1),(304,1),(410,1)}
        70:{1,3,4,5,7}:{(42,1),(49,1),(108,1),(109,1),(121,1),(192,1),(317,1),(318,1),(320,1),(421,1),(425,1)}
        71:{1,3,4}:{(44,1),(97,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(486,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(98,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(539,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(191,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(311,1),(419,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(308,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(404,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(240,1)}
        94:{1,2,3,5,7}:{(63,1),(133,1),(136,1),(137,1),(236,1),(239,1),(242,1),(280,1),(379,1),(389,1)}
        95:{1,2,4}:{(63,1),(135,1)}
        96:{2,3,5,6}:{(66,1),(69,1),(140,1),(141,1),(370,1)}
        97:{2,3,4}:{(71,1),(135,1),(143,1)}
        98:{2,4,5}:{(64,1),(143,1),(145,1)}
        99:{1,3,4,5,7}:{(64,1),(65,1),(75,1),(144,1),(146,1),(147,1),(159,1),(239,1),(258,1),(270,1),(285,1),(343,1),(352,1),(367,1),(382,1),(451,1),(462,1),(464,1),(510,1),(526,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(76,1),(140,1),(145,1),(147,1),(160,1),(240,1),(344,1)}
       101:{2,3,4,6}:{(65,1),(77,1),(146,1),(148,1),(177,1),(253,1),(286,1),(359,1),(368,1),(458,1),(511,1)}
       102:{2,3,4,7}:{(66,1),(78,1),(141,1),(147,1),(254,1),(360,1),(464,1)}
       103:{1,3,4,6}:{(68,1),(71,1),(139,1),(150,1),(151,1),(160,1),(264,1)}
       104:{1,2,3,6,7}:{(67,1),(72,1),(152,1),(173,1),(264,1),(272,1),(363,1),(443,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(150,1),(360,1),(382,1)}
       106:{1,2,4,5}:{(68,1),(151,1),(162,1),(245,1),(270,1)}
       107:{1,4,5,6}:{(69,1),(76,1),(140,1),(155,1),(165,1),(344,1),(438,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(78,1),(141,1),(155,1),(156,1),(168,1),(249,1),(360,1),(457,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(365,1),(366,1),(460,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(142,1),(158,1),(159,1),(382,1),(516,1)}
       111:{1,3,5}:{(71,1),(74,1),(143,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(448,1),(520,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(144,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(517,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(145,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(249,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(367,1),(464,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(364,1),(369,1),(388,1),(391,1),(460,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(451,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(298,1)}
       134:{1,2,4,6}:{(93,1),(95,1),(179,1),(181,1),(182,1),(294,1)}
       135:{1,3,4}:{(95,1),(97,1),(184,1)}
       136:{1,2,3,6}:{(94,1),(186,1),(294,1),(297,1),(436,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(183,1),(186,1),(428,1)}
       138:{1,2,4,5}:{(95,1),(98,1),(182,1),(184,1),(188,1),(288,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(196,1),(304,1),(306,1)}
       140:{1,3,5,6}:{(96,1),(100,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(102,1),(108,1),(192,1),(193,1),(421,1)}
       142:{2,3,4,7}:{(97,1),(110,1),(183,1),(194,1),(195,1),(419,1),(498,1)}
       143:{2,3,5}:{(97,1),(98,1),(111,1),(184,1),(196,1)}
       144:{2,4,5,7}:{(98,1),(99,1),(195,1),(197,1),(198,1),(311,1),(315,1),(419,1),(499,1),(542,1)}
       145:{2,4,6}:{(98,1),(100,1),(191,1),(196,1),(198,1)}
       146:{1,3,4,6}:{(99,1),(101,1),(116,1),(197,1),(199,1),(214,1),(297,1),(328,1),(341,1),(393,1),(403,1),(418,1),(532,1)}
       147:{1,3,4,7}:{(100,1),(102,1),(117,1),(192,1),(198,1),(215,1),(298,1),(394,1)}
       148:{2,3,5,6}:{(101,1),(118,1),(199,1),(201,1),(202,1),(222,1),(335,1),(410,1),(493,1),(530,1)}
       149:{2,3,4,6,7}:{(101,1),(102,1),(119,1),(193,1),(200,1),(202,1),(231,1),(310,1),(313,1),(342,1),(411,1),(419,1),(495,1),(496,1),(501,1),(533,1)}
       150:{1,3,4,7}:{(103,1),(105,1),(189,1),(205,1),(215,1)}
       151:{1,3,5}:{(103,1),(106,1),(190,1)}
       152:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(204,1),(207,1),(208,1),(411,1),(482,1),(534,1)}
       153:{1,2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(303,1),(321,1)}
       154:{1,2,4,5,6}:{(106,1),(107,1),(115,1),(191,1),(206,1),(208,1),(209,1),(218,1),(304,1),(314,1),(328,1),(410,1),(424,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(117,1),(192,1),(210,1),(221,1),(394,1),(478,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(308,1)}
       157:{1,3,5,6,7}:{(109,1),(121,1),(211,1),(212,1),(326,1),(425,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(194,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(195,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(196,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(486,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(197,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(198,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(308,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(419,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(139,1),(232,1),(233,1),(240,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(136,1),(234,1),(235,1),(354,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{1,3,4,7}:{(135,1),(137,1),(142,1),(238,1),(239,1),(451,1),(470,1)}
       184:{1,3,5}:{(135,1),(138,1),(143,1),(240,1)}
       185:{1,2,3,5,6}:{(136,1),(234,1),(241,1),(242,1),(350,1),(353,1),(356,1),(379,1),(446,1),(454,1),(474,1),(528,1)}
       186:{1,2,4,6}:{(136,1),(137,1),(238,1),(242,1)}
       187:{1,2,4,5,7}:{(137,1),(138,1),(144,1),(236,1),(239,1),(242,1),(243,1),(244,1),(285,1),(343,1),(352,1),(358,1),(389,1),(451,1),(471,1),(529,1)}
       188:{1,2,4,6}:{(138,1),(145,1),(237,1),(240,1),(244,1),(344,1)}
       189:{2,3,4,7}:{(139,1),(150,1),(232,1),(247,1),(254,1),(360,1)}
       190:{2,3,5}:{(139,1),(151,1),(233,1),(245,1)}
       191:{2,5,6}:{(140,1),(145,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(147,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(460,1)}
       194:{2,3,4,6}:{(142,1),(158,1),(238,1),(252,1),(253,1),(368,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(144,1),(159,1),(239,1),(252,1),(253,1),(254,1),(524,1),(550,1)}
       196:{2,3,6}:{(143,1),(145,1),(160,1),(240,1),(254,1)}
       197:{2,4,6}:{(144,1),(146,1),(253,1),(255,1)}
       198:{2,4,7}:{(145,1),(147,1),(249,1),(254,1)}
       199:{1,3,5,6}:{(146,1),(148,1),(165,1),(255,1),(257,1),(258,1),(370,1),(387,1),(438,1),(544,1)}
       200:{1,3,4,6,7}:{(146,1),(147,1),(149,1),(166,1),(250,1),(256,1),(258,1),(272,1),(354,1),(365,1),(382,1),(392,1),(439,1),(451,1),(460,1),(464,1),(523,1),(526,1),(546,1)}
       201:{2,4,5,6}:{(148,1),(257,1),(259,1),(260,1),(368,1)}
       202:{2,3,5,7}:{(148,1),(149,1),(168,1),(258,1),(260,1),(279,1),(388,1),(457,1),(522,1),(545,1)}
       203:{1,3,4,5}:{(151,1),(245,1),(262,1),(270,1),(367,1)}
       204:{1,3,4,6,7}:{(150,1),(152,1),(158,1),(246,1),(263,1),(264,1),(272,1),(376,1),(382,1),(444,1),(514,1),(546,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,5,6}:{(151,1),(154,1),(160,1),(248,1),(262,1),(264,1),(265,1),(370,1)}
       207:{1,2,5,7}:{(152,1),(162,1),(263,1),(266,1),(457,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(266,1),(359,1),(376,1)}
       209:{1,2,4,5,7}:{(154,1),(155,1),(164,1),(249,1),(265,1),(267,1),(276,1),(360,1),(371,1),(382,1),(457,1),(468,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(168,1),(268,1),(457,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(365,1),(468,1),(469,1)}
       213:{1,3,5}:{(158,1),(162,1),(252,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(253,1)}
       215:{1,3,7}:{(160,1),(164,1),(254,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(516,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(255,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(256,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(364,1),(388,1),(469,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(460,1),(464,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(189,1),(290,1),(298,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(190,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(185,1),(292,1),(293,1),(399,1),(404,1),(492,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(186,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(188,1),(191,1),(291,1),(294,1),(295,1)}
       238:{1,3,4,6}:{(183,1),(186,1),(194,1),(296,1),(297,1),(403,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(187,1),(195,1),(296,1),(297,1),(298,1),(504,1),(543,1)}
       240:{1,3,6}:{(184,1),(188,1),(196,1),(298,1)}
       241:{1,2,4,6}:{(185,1),(292,1),(299,1),(300,1),(403,1),(428,1),(488,1)}
       242:{1,2,5}:{(186,1),(296,1)}
       243:{1,2,4,6}:{(187,1),(197,1),(294,1),(297,1),(301,1),(341,1),(393,1),(403,1),(436,1)}
       244:{1,2,4,7}:{(188,1),(198,1),(295,1),(298,1),(394,1)}
       245:{2,4,5}:{(190,1),(203,1),(288,1),(304,1)}
       246:{2,3,4,6,7}:{(189,1),(194,1),(204,1),(289,1),(305,1),(306,1),(313,1),(398,1),(411,1),(413,1),(419,1),(484,1),(495,1),(533,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(290,1),(303,1),(306,1)}
       248:{2,3,5,6}:{(190,1),(191,1),(196,1),(206,1),(291,1),(304,1),(306,1),(307,1),(410,1)}
       249:{2,5,7}:{(191,1),(192,1),(198,1),(308,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(308,1)}
       251:{2,3,5,6,7}:{(193,1),(202,1),(211,1),(309,1),(310,1),(326,1),(427,1),(496,1)}
       252:{2,3,5}:{(194,1),(213,1),(296,1),(311,1)}
       253:{2,3,6}:{(195,1),(197,1),(214,1),(297,1)}
       254:{2,3,7}:{(196,1),(198,1),(215,1),(298,1)}
       255:{2,5,6}:{(197,1),(199,1),(315,1)}
       256:{2,4,6,7}:{(197,1),(198,1),(200,1),(308,1),(313,1),(315,1),(419,1),(540,1),(542,1)}
       257:{1,4,5,6}:{(199,1),(201,1),(314,1),(317,1),(328,1),(403,1)}
       258:{1,3,5,7}:{(199,1),(200,1),(202,1),(221,1),(315,1),(317,1),(421,1),(435,1),(478,1),(551,1)}
       259:{3,4,5,6}:{(201,1),(222,1),(318,1),(418,1),(493,1)}
       260:{2,4,5,7}:{(201,1),(202,1),(310,1),(317,1),(318,1),(419,1)}
       261:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(319,1),(320,1),(321,1),(412,1),(425,1)}
       262:{1,3,4,6}:{(203,1),(206,1),(304,1),(320,1),(328,1),(418,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(305,1),(321,1),(322,1),(551,1)}
       264:{1,3,6}:{(205,1),(208,1),(306,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(307,1),(320,1),(323,1),(421,1)}
       266:{1,2,5,6}:{(207,1),(208,1),(322,1),(410,1),(534,1)}
       267:{1,2,4,6,7}:{(208,1),(209,1),(210,1),(308,1),(323,1),(324,1),(411,1),(415,1),(426,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(221,1),(478,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(223,1),(310,1),(325,1),(326,1),(415,1),(427,1),(494,1)}
       270:{1,4,5}:{(213,1),(311,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(312,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(313,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(314,1),(328,1),(333,1),(334,1),(335,1),(422,1),(430,1),(502,1),(537,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(315,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(415,1),(497,1),(540,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(245,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(238,1),(246,1),(345,1),(346,1),(348,1),(354,1),(439,1),(441,1),(446,1),(451,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(247,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(240,1),(248,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(241,1),(348,1),(451,1),(519,1)}
       293:{1,2,5,7}:{(235,1),(242,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(244,1),(249,1),(347,1),(351,1)}
       296:{1,3,5}:{(238,1),(242,1),(252,1),(352,1)}
       297:{1,3,6}:{(239,1),(243,1),(253,1)}
       298:{1,3,7}:{(240,1),(244,1),(254,1)}
       299:{1,3,4,6}:{(241,1),(348,1),(355,1),(356,1),(446,1),(470,1),(528,1)}
       300:{1,2,4,5}:{(241,1),(242,1),(352,1),(356,1),(449,1)}
       301:{1,2,5,6}:{(242,1),(243,1),(255,1),(353,1),(358,1),(387,1),(438,1)}
       302:{1,2,4,6,7}:{(243,1),(244,1),(256,1),(351,1),(354,1),(358,1),(392,1),(439,1),(451,1),(476,1),(529,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(261,1),(343,1),(359,1),(360,1),(457,1)}
       304:{2,4,6}:{(245,1),(248,1),(262,1),(344,1),(360,1)}
       305:{2,3,5,7}:{(246,1),(252,1),(263,1),(345,1),(361,1),(362,1),(457,1),(522,1),(545,1)}
       306:{2,3,6}:{(247,1),(264,1),(346,1),(359,1)}
       307:{2,3,5,7}:{(248,1),(249,1),(254,1),(265,1),(347,1),(360,1),(363,1),(457,1)}
       308:{2,6,7}:{(249,1),(250,1)}
       309:{1,3,5,6,7}:{(250,1),(251,1),(258,1),(268,1),(364,1),(365,1),(460,1),(469,1),(523,1)}
       310:{2,4,6,7}:{(251,1),(260,1),(365,1),(366,1)}
       311:{2,4,5}:{(252,1),(270,1),(352,1),(367,1),(368,1)}
       312:{2,3,5,6}:{(252,1),(253,1),(255,1),(271,1),(353,1),(368,1),(369,1),(370,1)}
       313:{2,3,6,7}:{(253,1),(254,1),(256,1),(272,1),(354,1),(369,1),(460,1),(550,1)}
       314:{2,4,5,6}:{(255,1),(257,1),(368,1),(370,1),(371,1)}
       315:{2,5,7}:{(255,1),(256,1),(258,1)}
       316:{1,3,4,5,6}:{(257,1),(259,1),(277,1),(370,1),(372,1),(373,1),(381,1),(450,1),(465,1),(508,1)}
       317:{1,4,5,7}:{(257,1),(258,1),(260,1),(365,1),(371,1),(382,1),(451,1)}
       318:{3,4,5,7}:{(259,1),(260,1),(279,1),(366,1),(464,1),(522,1)}
       319:{1,3,4,6}:{(261,1),(264,1),(359,1),(374,1),(376,1),(458,1)}
       320:{1,3,4,7}:{(262,1),(265,1),(360,1),(382,1),(464,1)}
       321:{1,4,5,7}:{(263,1),(270,1),(361,1),(376,1),(382,1)}
       322:{1,3,5,6}:{(263,1),(264,1),(266,1),(362,1),(376,1),(514,1),(544,1)}
       323:{1,3,6,7}:{(264,1),(265,1),(267,1),(363,1),(460,1)}
       324:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(276,1),(364,1),(377,1),(457,1),(547,1)}
       325:{1,4,5,6,7}:{(268,1),(269,1),(278,1),(365,1),(378,1),(509,1)}
       326:{3,5,6,7}:{(269,1),(279,1),(366,1),(460,1),(522,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(367,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(368,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(369,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(370,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(371,1),(382,1),(386,1),(388,1),(467,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(460,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(303,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(304,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(296,1),(305,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(306,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(298,1),(307,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(299,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(300,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(308,1),(397,1)}
       352:{1,4,5}:{(296,1),(311,1),(403,1)}
       353:{1,3,5,6}:{(296,1),(297,1),(301,1),(312,1),(403,1),(404,1)}
       354:{1,3,6,7}:{(297,1),(298,1),(302,1),(313,1),(404,1),(543,1)}
       355:{2,3,4,6}:{(299,1),(398,1),(406,1),(407,1),(484,1),(488,1),(498,1),(541,1)}
       356:{1,3,5}:{(299,1),(300,1),(407,1)}
       357:{1,2,4,5,6}:{(300,1),(301,1),(314,1),(400,1),(403,1),(408,1),(409,1),(422,1),(477,1),(488,1),(502,1),(505,1),(530,1)}
       358:{1,2,5,7}:{(301,1),(302,1),(315,1),(404,1),(435,1),(478,1)}
       359:{2,4,6}:{(303,1),(306,1),(319,1),(393,1),(410,1)}
       360:{2,4,7}:{(304,1),(307,1),(320,1),(394,1)}
       361:{2,4,5,7}:{(305,1),(311,1),(321,1),(395,1),(412,1),(413,1),(419,1)}
       362:{2,3,5,6}:{(305,1),(306,1),(322,1),(396,1),(410,1),(413,1),(484,1),(493,1),(530,1)}
       363:{2,3,6,7}:{(306,1),(307,1),(308,1),(323,1),(397,1),(411,1)}
       364:{2,5,6,7}:{(308,1),(309,1),(315,1),(415,1),(540,1)}
       365:{1,4,6,7}:{(309,1),(310,1),(317,1),(415,1)}
       366:{3,4,6,7}:{(310,1),(318,1),(326,1)}
       367:{3,4,5}:{(311,1),(418,1)}
       368:{2,4,6}:{(311,1),(312,1),(328,1),(403,1),(418,1),(419,1)}
       369:{2,3,5,7}:{(312,1),(313,1),(315,1),(329,1),(404,1),(419,1),(421,1)}
       370:{3,5,6}:{(314,1),(418,1),(421,1)}
       371:{2,4,5,7}:{(314,1),(315,1),(317,1),(415,1),(419,1),(421,1)}
       372:{2,4,5,6}:{(316,1),(335,1),(420,1),(422,1),(423,1),(430,1),(488,1),(502,1),(530,1)}
       373:{1,3,4,5,7}:{(316,1),(317,1),(318,1),(336,1),(416,1),(421,1),(423,1),(431,1),(489,1),(503,1),(531,1)}
       374:{1,3,5,6}:{(319,1),(410,1),(424,1),(425,1),(493,1)}
       375:{1,3,4,6,7}:{(319,1),(320,1),(323,1),(411,1),(425,1),(426,1),(495,1)}
       376:{1,4,6}:{(321,1),(322,1),(413,1)}
       377:{1,3,5,6,7}:{(322,1),(323,1),(324,1),(329,1),(414,1),(425,1),(426,1),(535,1),(551,1)}
       378:{1,3,5,6,7}:{(325,1),(326,1),(336,1),(416,1),(427,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(418,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(419,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(421,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(540,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(359,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(360,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(441,1),(451,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(362,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(363,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(355,1),(444,1),(445,1),(519,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(356,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(358,1),(364,1),(442,1),(447,1),(469,1),(545,1)}
       402:{1,3,4,5}:{(352,1),(356,1),(367,1),(449,1),(450,1)}
       403:{1,4,6}:{(352,1),(353,1),(368,1),(451,1)}
       404:{1,3,5,7}:{(353,1),(354,1),(358,1),(369,1),(451,1)}
       405:{1,2,3,6}:{(443,1),(448,1),(452,1),(548,1)}
       406:{1,3,4,6}:{(355,1),(444,1),(452,1),(453,1),(514,1),(516,1),(518,1),(548,1)}
       407:{2,3,5}:{(355,1),(356,1),(449,1),(453,1)}
       408:{1,3,5,6}:{(356,1),(357,1),(370,1),(446,1),(450,1),(454,1),(455,1),(528,1)}
       409:{1,2,4,5,7}:{(357,1),(358,1),(371,1),(447,1),(451,1),(455,1),(467,1),(509,1),(519,1),(527,1),(529,1),(545,1)}
       410:{2,5,6}:{(359,1),(374,1),(438,1),(457,1)}
       411:{2,4,6,7}:{(359,1),(360,1),(363,1),(375,1),(439,1),(457,1)}
       412:{3,4,5,7}:{(361,1),(367,1),(458,1),(464,1),(522,1)}
       413:{2,4,6}:{(361,1),(362,1),(376,1),(441,1),(458,1)}
       414:{2,3,5,6,7}:{(362,1),(363,1),(364,1),(369,1),(377,1),(442,1),(457,1),(459,1),(460,1),(515,1),(522,1),(545,1)}
       415:{2,4,6,7}:{(364,1),(365,1),(371,1),(460,1)}
       416:{1,3,4,6,7}:{(365,1),(366,1),(373,1),(378,1),(460,1),(461,1),(523,1)}
       417:{2,3,4,5}:{(367,1),(380,1),(449,1),(462,1),(463,1),(524,1)}
       418:{3,4,6}:{(367,1),(368,1),(370,1),(464,1)}
       419:{2,4,7}:{(368,1),(369,1),(382,1),(451,1),(464,1)}
       420:{2,3,5,6}:{(370,1),(372,1),(463,1),(465,1),(466,1)}
       421:{3,5,7}:{(370,1),(371,1),(460,1),(464,1)}
       422:{1,4,5,6}:{(372,1),(387,1),(465,1),(467,1),(472,1),(518,1),(544,1)}
       423:{2,4,5,7}:{(372,1),(373,1),(388,1),(461,1),(466,1),(467,1),(473,1),(519,1),(527,1),(545,1)}
       424:{1,4,5,6}:{(374,1),(376,1),(456,1),(468,1),(544,1)}
       425:{1,3,5,7}:{(374,1),(375,1),(457,1),(468,1),(522,1)}
       426:{1,4,6,7}:{(376,1),(377,1),(382,1),(459,1),(468,1)}
       427:{2,5,6,7}:{(378,1),(388,1),(461,1),(469,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(464,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(410,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(411,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(402,1),(412,1),(479,1),(480,1),(489,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(413,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(404,1),(414,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(405,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(406,1),(482,1),(483,1),(538,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(407,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(409,1),(415,1),(481,1),(485,1),(497,1),(533,1),(540,1)}
       448:{1,2,3,5}:{(405,1),(486,1),(490,1),(536,1)}
       449:{2,4,5}:{(402,1),(407,1),(487,1),(488,1)}
       450:{1,3,4,6}:{(402,1),(403,1),(408,1),(418,1),(488,1),(489,1)}
       451:{1,4,7}:{(403,1),(404,1),(419,1)}
       452:{1,2,4,6}:{(405,1),(406,1),(482,1),(486,1),(490,1),(534,1)}
       453:{1,3,5}:{(406,1),(407,1),(487,1),(490,1)}
       454:{2,3,5,6}:{(407,1),(408,1),(484,1),(488,1),(491,1),(492,1),(502,1),(530,1),(541,1)}
       455:{1,3,5,7}:{(408,1),(409,1),(421,1),(485,1),(489,1),(492,1),(543,1)}
       456:{2,4,5,6}:{(410,1),(413,1),(424,1),(477,1),(493,1),(494,1),(530,1)}
       457:{2,5,7}:{(410,1),(411,1),(425,1),(478,1)}
       458:{3,4,6}:{(412,1),(413,1),(493,1)}
       459:{2,4,6,7}:{(413,1),(414,1),(419,1),(426,1),(481,1),(494,1),(495,1)}
       460:{3,6,7}:{(415,1),(421,1)}
       461:{2,4,6,7}:{(416,1),(423,1),(427,1),(496,1),(497,1),(540,1)}
       462:{1,3,4,5}:{(417,1),(429,1),(487,1),(499,1),(500,1),(504,1),(536,1)}
       463:{2,3,4,6}:{(417,1),(418,1),(420,1),(430,1),(488,1),(500,1),(501,1),(541,1)}
       464:{3,4,7}:{(418,1),(419,1),(421,1)}
       465:{1,3,5,6}:{(420,1),(422,1),(500,1),(502,1),(503,1)}
       466:{2,3,5,7}:{(420,1),(421,1),(423,1),(496,1),(501,1),(503,1)}
       467:{1,4,5,7}:{(422,1),(423,1),(435,1),(497,1),(503,1),(506,1),(538,1),(551,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(426,1),(494,1),(551,1)}
       469:{1,5,6,7}:{(427,1),(435,1),(497,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(540,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(456,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(457,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(449,1),(510,1),(511,1),(519,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(458,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(452,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(453,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(455,1),(460,1),(515,1)}
       486:{1,2,4}:{(448,1),(516,1)}
       487:{1,4,5}:{(449,1),(453,1),(518,1)}
       488:{2,4,6}:{(449,1),(450,1),(454,1),(518,1),(519,1)}
       489:{1,3,4,7}:{(450,1),(451,1),(455,1),(464,1),(519,1)}
       490:{1,2,5}:{(452,1),(453,1)}
       491:{1,3,5,6}:{(453,1),(454,1),(514,1),(518,1),(520,1),(521,1),(544,1),(548,1)}
       492:{2,3,5,7}:{(454,1),(455,1),(515,1),(519,1),(521,1),(527,1),(545,1),(550,1)}
       493:{3,5,6}:{(456,1),(458,1),(522,1)}
       494:{2,4,5,7}:{(456,1),(457,1),(459,1),(468,1),(509,1),(522,1),(545,1)}
       495:{3,4,6,7}:{(458,1),(459,1),(460,1),(464,1),(522,1)}
       496:{2,3,6,7}:{(460,1),(461,1),(466,1),(523,1)}
       497:{1,4,6,7}:{(461,1),(467,1),(469,1),(523,1)}
       498:{2,3,4}:{(470,1),(516,1),(524,1)}
       499:{2,4,5}:{(462,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(462,1),(463,1),(465,1),(472,1),(518,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(463,1),(464,1),(466,1),(473,1),(519,1),(526,1),(550,1)}
       502:{2,5,6}:{(465,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(465,1),(466,1),(467,1),(523,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(493,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(494,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(487,1),(532,1),(538,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(489,1),(495,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(490,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(492,1),(533,1),(535,1),(540,1)}
       516:{1,3,4}:{(486,1),(498,1),(536,1)}
       517:{1,2,4,5}:{(486,1),(487,1),(490,1),(499,1),(536,1),(537,1)}
       518:{1,4,6}:{(487,1),(488,1),(491,1),(538,1)}
       519:{2,4,7}:{(488,1),(489,1),(492,1),(538,1)}
       520:{1,2,5,6}:{(490,1),(491,1),(502,1),(534,1),(537,1),(539,1)}
       521:{1,3,5,7}:{(491,1),(492,1),(535,1),(538,1),(539,1),(551,1),(552,1)}
       522:{3,5,7}:{(493,1),(494,1),(495,1)}
       523:{1,3,6,7}:{(496,1),(497,1),(503,1),(540,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(536,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(538,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(540,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(522,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(519,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(521,1),(546,1),(547,1)}
       536:{1,3,5}:{(516,1),(517,1),(524,1),(548,1)}
       537:{1,2,4,6}:{(517,1),(518,1),(520,1),(525,1),(548,1),(549,1)}
       538:{1,4,7}:{(518,1),(519,1),(521,1)}
       539:{1,2,5,7}:{(520,1),(521,1),(527,1),(547,1),(549,1)}
       540:{2,6,7}:{(523,1),(527,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(538,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(539,1),(540,1)}
       548:{1,3,6}:{(536,1),(537,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(537,1),(538,1),(539,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

1863 :   0:{1,2,3,6,7}:{(2,1),(3,1),(50,1),(111,1),(173,1),(276,1),(360,1),(369,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(50,1),(54,1),(174,1),(256,1),(265,1),(276,1),(368,1),(383,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(130,1),(146,1),(222,1),(331,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(31,1),(81,1),(309,1),(319,1),(415,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(75,1),(225,1),(416,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(114,1),(170,1),(200,1),(300,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(50,1),(94,1),(171,1),(261,1),(369,1),(370,1),(456,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(191,1),(383,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(108,1),(456,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(48,1),(383,1),(457,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(50,1),(265,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(62,1),(80,1),(153,1),(208,1),(252,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(63,1),(217,1),(351,1),(486,1),(496,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(32,1),(64,1),(66,1),(78,1),(128,1),(134,1),(146,1),(208,1),(343,1),(344,1),(437,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(314,1),(418,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(30,1),(145,1),(222,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(30,1),(31,1),(73,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(31,1),(32,1),(319,1)}
        18:{1,2,4,5,6}:{(9,1),(30,1),(33,1),(34,1),(70,1),(75,1),(143,1),(145,1),(211,1),(229,1),(315,1),(340,1),(416,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(32,1),(35,1),(36,1),(75,1),(78,1),(238,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(52,1),(86,1),(92,1),(112,1),(193,1),(300,1),(301,1),(400,1)}
        22:{1,2,3,5,6}:{(12,1),(38,1),(39,1),(89,1),(92,1),(167,1),(200,1),(299,1),(305,1),(451,1),(460,1),(462,1)}
        23:{1,2,5,7}:{(11,1),(37,1),(39,1),(259,1),(305,1)}
        24:{1,2,4,7}:{(12,1),(38,1),(41,1),(269,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(179,1),(191,1),(259,1),(395,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(50,1),(171,1),(260,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(456,1),(457,1)}
        28:{1,3,4,5}:{(19,1),(47,1),(48,1),(457,1),(475,1)}
        29:{1,2,5,6,7}:{(15,1),(44,1),(49,1),(191,1),(275,1),(294,1),(367,1),(386,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(45,1),(50,1),(106,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(19,1),(50,1),(51,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(51,1),(52,1),(108,1),(292,1)}
        33:{1,2,4,5,7}:{(18,1),(49,1),(53,1),(103,1),(108,1),(189,1),(191,1),(264,1),(283,1),(367,1),(390,1),(456,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(47,1),(50,1),(53,1),(54,1),(265,1),(391,1)}
        35:{2,3,5}:{(19,1),(20,1),(48,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(52,1),(55,1),(56,1),(109,1),(112,1),(197,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(57,1),(58,1),(244,1),(354,1)}
        38:{1,2,4,6}:{(22,1),(24,1),(59,1),(60,1),(215,1),(352,1),(495,1)}
        39:{1,2,5,6}:{(23,1),(57,1),(62,1),(153,1),(207,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(58,1),(59,1),(62,1),(63,1),(121,1)}
        41:{1,3,4,7}:{(24,1),(60,1),(63,1),(64,1),(496,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(78,1),(128,1),(133,1),(145,1),(207,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(437,1),(438,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(71,1),(77,1),(144,1),(221,1),(314,1),(415,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(31,1),(67,1),(72,1),(73,1),(74,1),(144,1)}
        47:{1,3,4,6}:{(28,1),(34,1),(74,1),(75,1),(416,1),(436,1)}
        48:{2,4,5}:{(28,1),(35,1),(75,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(71,1),(77,1),(146,1),(241,1),(336,1),(431,1)}
        50:{1,3,6}:{(30,1),(31,1),(78,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(78,1),(79,1)}
        52:{1,3,4,7}:{(32,1),(36,1),(79,1),(80,1),(149,1),(249,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(74,1),(77,1),(81,1),(319,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(75,1),(78,1),(81,1),(82,1),(145,1),(229,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(76,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(80,1),(83,1),(84,1),(153,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(39,1),(42,1),(86,1),(92,1),(112,1),(192,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(401,1)}
        59:{1,2,4,5}:{(38,1),(89,1),(165,1),(305,1),(401,1)}
        60:{1,3,4,6}:{(38,1),(41,1),(89,1),(90,1),(92,1),(462,1),(463,1)}
        61:{1,2,5,6,7}:{(39,1),(85,1),(91,1),(199,1),(259,1),(298,1),(359,1),(386,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(86,1),(92,1),(161,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(89,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(90,1),(93,1),(94,1),(269,1),(464,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(96,1),(111,1),(170,1),(179,1),(191,1),(259,1),(386,1),(392,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(86,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(179,1),(474,1),(475,1)}
        68:{2,3,4,5}:{(48,1),(99,1),(100,1),(186,1),(389,1),(475,1)}
        69:{1,3,4,5,6}:{(47,1),(101,1),(102,1),(104,1),(177,1),(178,1),(286,1),(297,1),(391,1),(479,1)}
        70:{1,4,5,6}:{(45,1),(95,1),(103,1),(104,1),(260,1)}
        71:{1,4,6,7}:{(44,1),(45,1),(96,1),(103,1),(456,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(50,1),(97,1),(104,1),(106,1)}
        73:{2,4,5,7}:{(46,1),(48,1),(51,1),(106,1),(107,1),(108,1),(191,1)}
        74:{1,3,4,7}:{(47,1),(53,1),(108,1),(456,1),(474,1)}
        75:{2,4,6}:{(47,1),(48,1),(54,1),(108,1),(109,1)}
        76:{1,4,5}:{(48,1),(55,1),(109,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(53,1),(111,1),(470,1)}
        78:{2,3,6}:{(50,1),(51,1),(106,1),(112,1)}
        79:{1,3,5,7}:{(51,1),(52,1),(55,1),(107,1),(112,1),(113,1)}
        80:{1,2,4,7}:{(52,1),(56,1),(113,1),(114,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(108,1),(111,1),(115,1),(191,1),(283,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(109,1),(112,1),(115,1),(116,1),(192,1),(197,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(114,1),(117,1),(197,1)}
        85:{1,3,5,6,7}:{(57,1),(61,1),(65,1),(119,1),(127,1),(152,1),(206,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(63,1),(67,1),(120,1),(121,1),(122,1),(206,1),(214,1)}
        88:{1,2,4,5,6}:{(59,1),(62,1),(118,1),(123,1),(124,1),(207,1),(215,1),(245,1),(313,1),(340,1),(352,1),(412,1),(420,1)}
        89:{1,3,5}:{(59,1),(60,1),(125,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(125,1),(126,1),(128,1),(215,1),(423,1),(424,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(123,1),(127,1),(208,1),(406,1),(431,1),(481,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(125,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(324,1),(425,1)}
        95:{2,4,5,6}:{(66,1),(70,1),(118,1),(132,1),(133,1),(145,1),(207,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(71,1),(119,1),(132,1),(134,1),(437,1)}
        97:{3,4,6}:{(66,1),(67,1),(133,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(73,1),(121,1),(135,1),(136,1),(137,1),(213,1),(232,1),(236,1),(321,1),(434,1),(437,1),(438,1),(505,1),(534,1)}
        99:{2,3,4,6}:{(68,1),(75,1),(131,1),(137,1),(138,1),(238,1),(338,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(138,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(74,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(75,1),(131,1),(142,1),(143,1),(145,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(71,1),(132,1),(144,1),(314,1)}
       104:{1,3,5,6}:{(70,1),(72,1),(133,1),(144,1),(145,1)}
       105:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(77,1),(134,1),(144,1),(146,1)}
       106:{2,4,6}:{(72,1),(73,1),(78,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(73,1),(76,1),(79,1),(147,1),(149,1),(244,1)}
       108:{2,4,7}:{(74,1),(75,1),(81,1),(149,1)}
       109:{1,4,6}:{(75,1),(76,1),(82,1),(149,1)}
       110:{1,2,4,5}:{(76,1),(83,1),(139,1),(150,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(81,1),(146,1),(152,1),(336,1)}
       112:{1,3,6}:{(78,1),(79,1),(147,1),(153,1)}
       113:{1,2,5,7}:{(79,1),(80,1),(83,1),(153,1)}
       114:{1,2,3,7}:{(80,1),(84,1),(249,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(149,1),(152,1),(155,1),(244,1),(249,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(150,1),(153,1),(155,1),(229,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(151,1),(157,1)}
       118:{1,4,5,6}:{(86,1),(95,1),(158,1),(159,1),(192,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(96,1),(158,1),(400,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(92,1),(97,1),(159,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(93,1),(161,1),(162,1),(165,1),(259,1),(269,1)}
       122:{1,3,4,5}:{(89,1),(164,1),(165,1),(401,1),(475,1)}
       123:{1,2,4,5,7}:{(88,1),(91,1),(158,1),(166,1),(259,1),(269,1),(298,1),(365,1),(390,1),(400,1),(452,1),(461,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(92,1),(164,1),(166,1),(167,1),(391,1),(462,1)}
       125:{2,3,5}:{(89,1),(90,1),(165,1),(168,1)}
       126:{1,3,4,6}:{(90,1),(94,1),(168,1),(169,1),(171,1),(270,1),(378,1),(379,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(166,1),(170,1),(470,1)}
       128:{2,3,6}:{(92,1),(93,1),(161,1),(171,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(171,1),(172,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(172,1),(173,1)}
       131:{2,3,5,6}:{(99,1),(102,1),(176,1),(177,1),(391,1)}
       132:{2,4,5,7}:{(95,1),(96,1),(103,1),(158,1),(179,1),(191,1),(259,1)}
       133:{3,5,6}:{(95,1),(97,1),(179,1)}
       134:{3,4,6,7}:{(96,1),(97,1),(179,1),(470,1),(474,1)}
       135:{2,3,4,6}:{(97,1),(98,1),(106,1),(161,1),(180,1),(182,1),(290,1),(393,1),(473,1),(527,1),(545,1)}
       136:{1,3,4,5,7}:{(98,1),(100,1),(107,1),(162,1),(182,1),(183,1),(184,1),(195,1),(263,1),(268,1),(287,1),(374,1),(400,1),(401,1),(450,1),(456,1),(457,1),(474,1),(475,1),(544,1)}
       137:{2,3,4,7}:{(99,1),(108,1),(176,1),(184,1),(292,1),(388,1),(474,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(109,1),(177,1),(184,1),(185,1),(197,1),(265,1),(362,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(108,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(109,1),(177,1),(189,1),(192,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(105,1),(179,1),(191,1)}
       145:{2,5,6}:{(104,1),(106,1),(191,1),(192,1)}
       146:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(191,1),(193,1)}
       147:{1,4,6}:{(106,1),(107,1),(112,1),(192,1)}
       148:{1,2,4,5,7}:{(107,1),(110,1),(113,1),(183,1),(194,1),(195,1),(196,1),(201,1),(298,1),(305,1),(373,1),(400,1),(401,1),(461,1),(544,1),(546,1)}
       149:{1,4,7}:{(108,1),(109,1),(115,1)}
       150:{1,2,4,6}:{(109,1),(110,1),(116,1),(185,1),(196,1),(197,1)}
       151:{1,3,5}:{(110,1),(186,1),(197,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(115,1),(193,1),(199,1)}
       153:{1,2,6}:{(112,1),(113,1)}
       154:{1,2,3,5,7}:{(113,1),(114,1),(117,1),(195,1),(200,1),(201,1),(305,1),(460,1),(519,1),(546,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(196,1),(199,1),(283,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(197,1),(200,1),(202,1),(203,1),(284,1),(299,1),(303,1),(305,1),(403,1),(404,1)}
       157:{1,2,4}:{(117,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(206,1),(244,1)}
       159:{1,3,5,6}:{(118,1),(120,1),(133,1),(206,1),(207,1)}
       160:{1,3,4,6,7}:{(119,1),(120,1),(127,1),(134,1),(206,1),(208,1),(214,1)}
       161:{2,4,6}:{(120,1),(121,1),(128,1),(207,1),(209,1)}
       162:{1,4,5,7}:{(121,1),(129,1),(209,1),(216,1),(314,1),(324,1)}
       163:{1,2,4,5}:{(139,1),(211,1),(212,1),(225,1),(333,1),(410,1)}
       164:{1,3,4,6}:{(122,1),(124,1),(214,1),(215,1),(352,1),(436,1)}
       165:{2,4,5}:{(122,1),(125,1),(215,1),(216,1)}
       166:{1,3,5,7}:{(123,1),(124,1),(127,1),(214,1),(217,1),(435,1),(496,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(207,1),(215,1),(217,1),(218,1),(412,1),(423,1)}
       168:{1,3,5}:{(125,1),(126,1),(216,1),(219,1)}
       169:{1,2,4,6}:{(126,1),(130,1),(219,1),(220,1),(222,1),(329,1)}
       170:{2,3,6,7}:{(127,1),(128,1),(208,1),(217,1),(221,1),(481,1)}
       171:{1,3,6}:{(128,1),(129,1),(209,1),(222,1)}
       172:{1,2,5,7}:{(129,1),(130,1),(219,1),(222,1)}
       173:{1,2,3,7}:{(130,1),(220,1),(425,1)}
       174:{1,2,3,5}:{(212,1),(224,1),(225,1),(333,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(137,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(138,1),(143,1),(228,1),(229,1)}
       178:{3,4,5,6}:{(133,1),(230,1),(231,1),(436,1),(540,1)}
       179:{3,5,7}:{(132,1),(133,1),(134,1)}
       180:{2,3,5,6}:{(133,1),(135,1),(145,1),(207,1),(231,1),(232,1),(233,1),(504,1),(540,1),(549,1)}
       181:{2,3,4,6,7}:{(134,1),(135,1),(137,1),(146,1),(208,1),(227,1),(232,1),(234,1),(321,1),(334,1),(343,1),(405,1),(433,1),(437,1),(502,1),(529,1)}
       182:{1,3,4,6}:{(135,1),(136,1),(147,1),(209,1),(233,1),(235,1),(247,1),(317,1),(352,1),(416,1),(436,1),(485,1),(550,1)}
       183:{2,4,5,7}:{(136,1),(139,1),(235,1),(236,1),(237,1),(323,1),(341,1),(422,1),(437,1),(438,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(149,1),(228,1),(237,1),(249,1),(319,1),(409,1)}
       185:{2,4,6}:{(138,1),(139,1),(229,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(149,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(150,1),(229,1),(242,1),(243,1),(245,1),(254,1),(338,1),(340,1),(352,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(146,1),(244,1)}
       192:{1,5,6}:{(145,1),(147,1),(244,1)}
       193:{1,4,6,7}:{(146,1),(147,1),(149,1),(152,1),(244,1)}
       194:{1,2,4,6}:{(147,1),(148,1),(153,1),(235,1),(245,1),(247,1),(352,1),(550,1),(551,1)}
       195:{1,3,5,7}:{(148,1),(151,1),(236,1),(247,1),(248,1),(249,1),(354,1),(421,1),(496,1)}
       196:{1,2,4,7}:{(149,1),(150,1),(155,1),(237,1),(249,1)}
       197:{1,3,6}:{(150,1),(151,1),(238,1),(249,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,6}:{(153,1),(154,1),(247,1),(252,1),(551,1)}
       201:{1,2,4,7}:{(154,1),(157,1),(248,1),(252,1),(495,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(249,1),(251,1),(253,1),(337,1),(351,1),(355,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(250,1),(253,1),(254,1),(338,1),(352,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,4,5,6}:{(159,1),(164,1),(178,1),(257,1),(258,1),(286,1),(364,1),(391,1),(455,1),(543,1)}
       206:{1,3,5,7}:{(158,1),(159,1),(160,1),(179,1),(259,1)}
       207:{2,5,6}:{(159,1),(161,1),(259,1),(260,1)}
       208:{2,4,6,7}:{(160,1),(161,1),(170,1),(259,1),(261,1),(269,1)}
       209:{1,4,6}:{(161,1),(162,1),(171,1),(260,1)}
       210:{1,2,4,5,7}:{(162,1),(163,1),(172,1),(183,1),(262,1),(263,1),(264,1),(271,1),(277,1),(367,1),(377,1),(383,1),(384,1),(450,1),(456,1),(457,1)}
       211:{1,2,4,6}:{(163,1),(185,1),(256,1),(264,1),(265,1),(362,1)}
       212:{1,3,5}:{(163,1),(186,1),(265,1),(266,1)}
       213:{2,3,4,5}:{(165,1),(267,1),(268,1),(376,1),(475,1),(516,1)}
       214:{1,3,4,7}:{(164,1),(166,1),(269,1),(400,1),(474,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(269,1),(270,1)}
       216:{1,4,5}:{(165,1),(168,1),(270,1)}
       217:{2,3,5,7}:{(166,1),(167,1),(170,1),(259,1),(269,1),(272,1),(452,1),(464,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(171,1),(260,1),(270,1),(272,1),(273,1),(378,1)}
       219:{1,2,5}:{(168,1),(169,1)}
       220:{1,2,3,6}:{(169,1),(173,1),(274,1),(378,1)}
       221:{1,3,6,7}:{(170,1),(171,1),(261,1),(272,1),(275,1)}
       222:{1,2,6}:{(171,1),(172,1)}
       223:{1,2,3,5,7}:{(172,1),(173,1),(174,1),(263,1),(274,1),(276,1),(277,1),(278,1),(383,1),(384,1)}
       224:{1,2,3,6}:{(174,1),(265,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(266,1)}
       226:{3,5,6,7}:{(175,1),(179,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(184,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(185,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(179,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,4,5,6}:{(178,1),(180,1),(285,1),(286,1),(393,1)}
       232:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(259,1),(285,1),(287,1),(472,1),(525,1),(542,1)}
       233:{1,3,5,6}:{(180,1),(182,1),(192,1),(260,1),(286,1),(287,1),(288,1),(391,1),(512,1),(552,1)}
       234:{1,3,4,6,7}:{(181,1),(182,1),(184,1),(193,1),(261,1),(282,1),(287,1),(289,1),(300,1),(369,1),(374,1),(385,1),(400,1),(446,1),(449,1),(456,1),(470,1),(474,1),(541,1)}
       235:{2,4,6}:{(182,1),(183,1),(288,1),(290,1)}
       236:{2,3,5,7}:{(183,1),(186,1),(195,1),(263,1),(290,1),(291,1),(292,1),(376,1),(395,1),(464,1)}
       237:{2,4,7}:{(184,1),(185,1),(283,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(197,1),(265,1),(292,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(196,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(197,1),(284,1),(296,1),(297,1),(303,1),(391,1),(403,1)}
       244:{1,5,7}:{(191,1),(192,1),(193,1)}
       245:{1,2,5,6}:{(192,1),(194,1),(288,1),(298,1),(299,1),(305,1),(552,1)}
       246:{1,2,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(289,1),(298,1),(300,1),(400,1),(461,1),(508,1),(541,1)}
       247:{1,3,6}:{(194,1),(195,1),(290,1)}
       248:{1,3,4,7}:{(195,1),(198,1),(201,1),(291,1),(301,1),(400,1),(463,1)}
       249:{1,3,7}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(203,1),(293,1),(302,1),(303,1),(403,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(300,1),(304,1),(387,1),(403,1),(519,1)}
       252:{1,2,4,6}:{(200,1),(201,1),(301,1),(305,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(302,1),(388,1),(400,1)}
       254:{1,2,4,5}:{(203,1),(303,1),(305,1),(389,1),(401,1)}
       255:{1,3,5,6,7}:{(204,1),(206,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(211,1),(229,1),(309,1),(310,1),(333,1),(430,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(230,1),(307,1),(312,1),(339,1),(411,1),(435,1),(490,1),(530,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(311,1),(312,1),(313,1),(412,1),(489,1),(549,1)}
       259:{2,5,7}:{(206,1),(207,1),(208,1),(314,1)}
       260:{1,5,6}:{(207,1),(209,1),(314,1)}
       261:{1,4,6,7}:{(208,1),(209,1),(221,1),(314,1),(324,1)}
       262:{1,2,4,6}:{(209,1),(210,1),(222,1),(235,1),(315,1),(317,1),(416,1),(430,1),(485,1)}
       263:{1,3,5,7}:{(210,1),(212,1),(236,1),(317,1),(318,1),(319,1),(326,1),(418,1),(425,1)}
       264:{1,2,4,7}:{(211,1),(237,1),(309,1),(319,1),(409,1)}
       265:{1,3,6}:{(211,1),(212,1),(238,1),(319,1)}
       266:{1,3,4}:{(212,1),(225,1),(239,1)}
       267:{2,3,4,6}:{(213,1),(215,1),(311,1),(321,1),(322,1),(423,1),(436,1),(489,1)}
       268:{1,3,4,5}:{(213,1),(216,1),(322,1),(323,1),(326,1),(421,1),(533,1)}
       269:{2,4,7}:{(214,1),(215,1),(217,1),(324,1)}
       270:{1,4,6}:{(215,1),(216,1),(218,1),(324,1)}
       271:{1,2,4,5}:{(216,1),(219,1),(323,1),(325,1),(326,1),(329,1)}
       272:{1,3,5,7}:{(217,1),(218,1),(221,1),(314,1),(324,1),(327,1),(425,1)}
       273:{1,2,5,6}:{(218,1),(219,1),(222,1),(325,1),(327,1),(412,1)}
       274:{1,2,3,5}:{(219,1),(220,1),(326,1),(329,1)}
       275:{1,2,6,7}:{(221,1),(222,1),(327,1),(481,1)}
       276:{1,2,3,6}:{(222,1),(223,1),(317,1),(331,1),(430,1)}
       277:{1,2,4,7}:{(223,1),(225,1),(318,1),(329,1),(331,1)}
       278:{1,2,3,7}:{(224,1),(319,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(320,1),(332,1),(333,1),(430,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(232,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(237,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(238,1),(243,1),(310,1),(337,1),(338,1),(346,1),(440,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(232,1),(334,1),(339,1),(437,1)}
       286:{1,4,5,6}:{(231,1),(233,1),(339,1),(340,1),(352,1),(416,1)}
       287:{1,3,5,7}:{(232,1),(233,1),(234,1),(244,1),(314,1),(339,1),(341,1),(435,1),(484,1),(548,1)}
       288:{2,5,6}:{(233,1),(235,1),(341,1)}
       289:{2,4,6,7}:{(234,1),(235,1),(237,1),(336,1),(341,1),(343,1),(422,1),(437,1),(481,1)}
       290:{2,3,6}:{(235,1),(236,1),(247,1),(317,1)}
       291:{2,3,4,7}:{(236,1),(239,1),(248,1),(318,1),(344,1),(424,1),(437,1)}
       292:{2,3,7}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(250,1),(320,1),(338,1),(345,1),(346,1),(440,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(249,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(352,1),(436,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(246,1),(341,1),(351,1),(548,1)}
       299:{1,3,5,6}:{(245,1),(247,1),(342,1),(351,1),(352,1),(354,1)}
       300:{1,3,6,7}:{(246,1),(247,1),(249,1),(343,1),(351,1),(496,1)}
       301:{1,3,4,6}:{(247,1),(248,1),(252,1),(344,1),(352,1),(354,1)}
       302:{1,3,4,7}:{(249,1),(250,1),(253,1),(345,1),(355,1)}
       303:{1,3,5}:{(250,1),(254,1),(346,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(253,1),(353,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,5}:{(252,1),(354,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(355,1),(356,1),(357,1),(434,1),(444,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(259,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(264,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(265,1),(284,1),(361,1),(362,1),(372,1),(459,1),(512,1)}
       311:{2,3,5,6}:{(258,1),(267,1),(363,1),(364,1),(391,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(269,1),(358,1),(363,1),(365,1),(452,1),(515,1),(542,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(270,1),(364,1),(365,1),(514,1),(552,1)}
       314:{1,5,7}:{(259,1),(260,1),(261,1)}
       315:{1,2,5,6}:{(260,1),(262,1),(288,1),(367,1),(368,1),(383,1),(512,1)}
       316:{1,2,4,6,7}:{(261,1),(262,1),(264,1),(275,1),(289,1),(360,1),(367,1),(369,1),(377,1),(449,1),(456,1)}
       317:{1,3,6}:{(262,1),(263,1),(290,1)}
       318:{1,3,4,7}:{(263,1),(266,1),(277,1),(291,1),(370,1),(379,1),(456,1)}
       319:{1,3,7}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,6}:{(265,1),(266,1),(279,1),(293,1),(362,1),(371,1),(372,1),(459,1)}
       321:{2,3,4,7}:{(267,1),(269,1),(363,1),(374,1),(464,1),(474,1),(515,1)}
       322:{1,3,4,6}:{(267,1),(268,1),(270,1),(364,1),(374,1),(375,1),(378,1),(462,1),(514,1)}
       323:{2,4,5}:{(268,1),(375,1),(376,1)}
       324:{1,4,7}:{(269,1),(270,1),(272,1)}
       325:{1,2,4,6}:{(270,1),(271,1),(273,1),(375,1),(377,1),(378,1)}
       326:{1,3,5}:{(271,1),(376,1),(378,1),(379,1)}
       327:{1,2,5,7}:{(272,1),(273,1),(275,1),(377,1),(452,1)}
       328:{1,2,3,5,6}:{(273,1),(274,1),(276,1),(368,1),(378,1),(380,1),(381,1),(383,1),(453,1),(467,1),(469,1),(524,1)}
       329:{1,2,4}:{(274,1),(379,1)}
       330:{1,2,3,6,7}:{(275,1),(276,1),(278,1),(369,1),(380,1),(382,1),(509,1),(524,1)}
       331:{1,2,4,6}:{(276,1),(277,1),(370,1),(383,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(371,1),(384,1)}
       333:{1,2,5}:{(279,1),(372,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(287,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(292,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(287,1),(385,1),(390,1),(400,1),(456,1)}
       340:{2,4,5,6}:{(286,1),(288,1),(390,1),(391,1),(393,1)}
       341:{2,5,7}:{(287,1),(288,1),(289,1)}
       342:{2,3,5,6}:{(288,1),(290,1),(299,1),(368,1),(391,1),(392,1),(393,1),(395,1)}
       343:{2,3,6,7}:{(289,1),(290,1),(292,1),(300,1),(369,1),(392,1),(464,1),(470,1)}
       344:{2,3,4,6}:{(290,1),(291,1),(301,1),(370,1),(393,1),(395,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(302,1),(371,1),(388,1),(396,1)}
       346:{2,3,5}:{(293,1),(303,1),(372,1),(389,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(403,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(303,1),(389,1),(401,1),(475,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(300,1),(392,1),(400,1)}
       352:{1,4,6}:{(299,1),(393,1),(400,1),(401,1)}
       353:{1,3,4,6,7}:{(300,1),(301,1),(302,1),(304,1),(394,1),(400,1),(402,1),(403,1),(480,1),(521,1),(541,1),(547,1)}
       354:{1,3,5}:{(301,1),(305,1),(395,1),(401,1)}
       355:{1,3,5,7}:{(302,1),(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(305,1),(402,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(306,1),(403,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(312,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(314,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(430,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(319,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(312,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,3,5,6}:{(311,1),(313,1),(322,1),(411,1),(412,1)}
       365:{1,4,5,7}:{(312,1),(313,1),(314,1),(324,1),(406,1),(411,1),(532,1),(548,1)}
       366:{1,2,4,5,6}:{(313,1),(315,1),(325,1),(340,1),(412,1),(413,1),(414,1),(416,1),(428,1),(489,1),(501,1),(531,1),(549,1)}
       367:{1,2,5,7}:{(314,1),(315,1),(316,1),(341,1),(415,1),(484,1)}
       368:{1,3,5,6}:{(315,1),(317,1),(342,1),(415,1),(416,1),(418,1)}
       369:{1,3,6,7}:{(316,1),(317,1),(319,1),(343,1),(415,1),(425,1)}
       370:{1,3,4,6}:{(317,1),(318,1),(331,1),(344,1),(416,1),(418,1)}
       371:{1,3,4,7}:{(319,1),(320,1),(332,1),(345,1),(409,1),(419,1)}
       372:{1,3,5}:{(320,1),(333,1),(346,1),(410,1)}
       373:{1,2,4,5}:{(323,1),(420,1),(421,1),(495,1),(533,1),(537,1)}
       374:{1,3,4,7}:{(321,1),(322,1),(324,1),(411,1),(422,1),(425,1),(496,1),(532,1)}
       375:{2,4,6}:{(322,1),(323,1),(412,1),(422,1),(423,1)}
       376:{2,3,5}:{(323,1),(326,1),(421,1),(423,1),(424,1)}
       377:{1,2,4,7}:{(324,1),(325,1),(327,1),(422,1),(425,1)}
       378:{1,3,6}:{(325,1),(326,1),(423,1),(425,1)}
       379:{1,3,4}:{(326,1),(329,1),(424,1)}
       380:{1,2,3,5,7}:{(327,1),(328,1),(330,1),(415,1),(425,1),(427,1),(429,1),(488,1),(500,1)}
       381:{1,2,4,6}:{(328,1),(329,1),(416,1),(426,1),(427,1),(428,1),(489,1)}
       382:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(417,1),(427,1),(429,1),(430,1),(501,1),(529,1)}
       383:{1,2,5}:{(331,1),(418,1)}
       384:{1,2,5,7}:{(332,1),(333,1),(419,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(341,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(440,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(346,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(341,1),(431,1),(435,1),(437,1)}
       391:{3,5,6}:{(340,1),(435,1),(436,1)}
       392:{2,3,5,7}:{(341,1),(342,1),(343,1),(351,1),(415,1),(435,1),(437,1)}
       393:{2,4,6}:{(342,1),(352,1),(416,1),(436,1),(437,1),(438,1)}
       394:{2,3,4,6,7}:{(343,1),(344,1),(345,1),(353,1),(417,1),(433,1),(437,1),(439,1),(440,1),(498,1),(502,1),(506,1),(529,1),(539,1)}
       395:{2,3,5}:{(344,1),(354,1),(418,1),(438,1)}
       396:{2,3,5,7}:{(345,1),(346,1),(355,1),(419,1),(434,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(355,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(352,1),(437,1)}
       401:{1,4,5}:{(352,1),(354,1),(438,1)}
       402:{1,3,5,7}:{(353,1),(354,1),(356,1),(439,1),(444,1),(445,1),(548,1)}
       403:{1,3,6}:{(355,1),(357,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(365,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(367,1),(386,1),(447,1),(448,1),(469,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(459,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(372,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(365,1),(374,1),(446,1),(452,1)}
       412:{2,5,6}:{(364,1),(375,1),(452,1)}
       413:{1,2,4,5,7}:{(365,1),(366,1),(367,1),(377,1),(390,1),(447,1),(452,1),(454,1),(456,1),(511,1),(515,1),(542,1)}
       414:{1,3,5,6}:{(366,1),(378,1),(391,1),(453,1),(454,1),(455,1),(467,1),(524,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(369,1),(392,1),(456,1)}
       416:{1,4,6}:{(368,1),(393,1),(456,1),(457,1)}
       417:{1,3,4,6,7}:{(369,1),(370,1),(371,1),(382,1),(394,1),(449,1),(456,1),(458,1),(459,1),(466,1),(518,1),(524,1)}
       418:{1,3,5}:{(370,1),(383,1),(395,1),(457,1)}
       419:{1,3,5,7}:{(371,1),(372,1),(384,1),(396,1),(450,1),(459,1)}
       420:{1,2,4,6}:{(373,1),(375,1),(451,1),(461,1),(462,1),(514,1)}
       421:{1,3,5}:{(373,1),(376,1),(462,1),(463,1)}
       422:{2,4,7}:{(374,1),(375,1),(452,1),(464,1)}
       423:{2,3,6}:{(375,1),(376,1),(378,1),(462,1),(464,1)}
       424:{2,3,4}:{(376,1),(379,1),(463,1)}
       425:{1,3,7}:{(377,1),(378,1),(464,1)}
       426:{1,3,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1),(467,1),(524,1)}
       427:{1,2,4,7}:{(380,1),(381,1),(456,1),(466,1),(515,1)}
       428:{1,2,4,5}:{(381,1),(383,1),(457,1),(467,1),(516,1)}
       429:{1,2,5,7}:{(382,1),(383,1),(458,1),(469,1),(542,1)}
       430:{1,2,6}:{(384,1),(459,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(392,1),(397,1),(448,1),(470,1),(471,1),(472,1),(477,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(396,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(391,1),(470,1),(474,1)}
       436:{3,4,6}:{(391,1),(393,1),(474,1),(475,1)}
       437:{2,4,7}:{(392,1),(393,1),(400,1),(456,1),(474,1)}
       438:{2,4,5}:{(393,1),(395,1),(401,1),(457,1),(475,1)}
       439:{2,3,5,7}:{(394,1),(395,1),(402,1),(458,1),(472,1),(476,1),(477,1),(525,1),(542,1)}
       440:{2,3,6}:{(396,1),(403,1),(459,1),(473,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(403,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(402,1),(476,1),(480,1)}
       445:{1,3,5,6}:{(402,1),(403,1),(404,1),(477,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(413,1),(431,1),(481,1),(482,1),(483,1),(501,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(415,1),(432,1),(482,1),(483,1),(484,1),(493,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(419,1),(434,1),(484,1),(485,1)}
       451:{1,2,5,6}:{(412,1),(420,1),(486,1),(487,1),(537,1),(551,1)}
       452:{2,5,7}:{(411,1),(412,1),(422,1),(481,1)}
       453:{2,3,5,6}:{(412,1),(414,1),(423,1),(487,1),(488,1),(489,1),(499,1),(539,1),(549,1)}
       454:{1,3,5,7}:{(413,1),(414,1),(425,1),(435,1),(482,1),(488,1),(490,1)}
       455:{1,3,4,6}:{(414,1),(416,1),(436,1),(489,1),(490,1),(491,1)}
       456:{1,4,7}:{(415,1),(416,1),(437,1)}
       457:{1,4,5}:{(416,1),(418,1),(438,1)}
       458:{1,3,5,7}:{(417,1),(418,1),(429,1),(439,1),(484,1),(492,1),(493,1)}
       459:{1,3,6}:{(419,1),(430,1),(440,1),(485,1)}
       460:{1,2,3,5}:{(421,1),(494,1),(495,1),(537,1)}
       461:{1,2,4,7}:{(420,1),(422,1),(486,1),(496,1),(532,1)}
       462:{1,3,6}:{(420,1),(421,1),(423,1),(496,1)}
       463:{1,3,4}:{(421,1),(424,1),(495,1)}
       464:{2,3,7}:{(422,1),(423,1),(425,1),(496,1)}
       465:{2,3,4,6}:{(423,1),(424,1),(426,1),(489,1),(497,1),(498,1),(499,1),(539,1)}
       466:{1,3,4,7}:{(425,1),(426,1),(427,1),(498,1),(500,1)}
       467:{1,3,5}:{(426,1),(428,1),(499,1)}
       468:{1,2,4,5,7}:{(427,1),(428,1),(429,1),(492,1),(500,1),(501,1),(534,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(493,1),(501,1),(549,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(437,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(440,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(437,1)}
       475:{3,4,5}:{(436,1),(438,1)}
       476:{2,4,5,7}:{(437,1),(438,1),(439,1),(444,1),(492,1),(505,1),(506,1)}
       477:{2,3,5,6}:{(439,1),(440,1),(445,1),(493,1),(504,1),(506,1),(539,1),(540,1),(549,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(452,1)}
       482:{1,3,6,7}:{(447,1),(454,1),(470,1),(509,1),(524,1)}
       483:{1,4,6,7}:{(448,1),(456,1),(471,1),(511,1),(518,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(459,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(452,1),(461,1),(508,1),(513,1)}
       487:{1,3,5,6}:{(451,1),(453,1),(462,1),(513,1),(514,1),(522,1),(547,1),(552,1)}
       488:{2,3,5,7}:{(452,1),(453,1),(454,1),(464,1),(509,1),(513,1),(515,1),(542,1)}
       489:{2,4,6}:{(453,1),(455,1),(514,1),(515,1),(516,1)}
       490:{1,3,4,7}:{(454,1),(455,1),(456,1),(474,1),(515,1)}
       491:{1,3,4,5}:{(455,1),(457,1),(467,1),(475,1),(516,1)}
       492:{1,4,5,7}:{(456,1),(457,1),(458,1),(476,1),(518,1)}
       493:{1,3,5,6}:{(458,1),(459,1),(469,1),(477,1),(512,1),(518,1),(524,1)}
       494:{1,2,3,6}:{(460,1),(462,1),(519,1),(520,1)}
       495:{1,2,4}:{(460,1),(463,1)}
       496:{1,3,7}:{(461,1),(462,1),(464,1)}
       497:{1,3,4,6}:{(462,1),(463,1),(465,1),(514,1),(520,1),(521,1),(522,1),(547,1)}
       498:{2,3,4,7}:{(464,1),(465,1),(466,1),(515,1),(521,1),(523,1)}
       499:{2,3,5}:{(465,1),(467,1),(516,1),(522,1)}
       500:{1,3,5,7}:{(466,1),(467,1),(468,1),(523,1),(524,1)}
       501:{1,2,4,6}:{(468,1),(469,1),(518,1),(524,1),(545,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(476,1),(525,1),(527,1)}
       506:{2,4,6}:{(476,1),(477,1),(480,1),(518,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(488,1),(528,1),(529,1),(539,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(490,1),(502,1),(529,1),(530,1),(535,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(488,1),(496,1),(528,1),(532,1),(548,1)}
       514:{1,4,6}:{(487,1),(489,1),(532,1),(533,1)}
       515:{2,4,7}:{(488,1),(489,1),(490,1),(532,1)}
       516:{2,4,5}:{(489,1),(491,1),(499,1),(533,1)}
       517:{1,3,4,5,7}:{(490,1),(491,1),(492,1),(500,1),(505,1),(530,1),(534,1),(535,1)}
       518:{1,4,6}:{(492,1),(493,1),(506,1)}
       519:{1,2,3,7}:{(494,1),(496,1),(536,1)}
       520:{1,2,4,6}:{(494,1),(495,1),(497,1),(536,1),(537,1),(551,1)}
       521:{1,3,4,7}:{(496,1),(497,1),(498,1),(532,1),(536,1),(538,1)}
       522:{1,3,5}:{(497,1),(499,1),(533,1),(537,1)}
       523:{2,3,5,7}:{(498,1),(499,1),(500,1),(534,1),(538,1),(539,1)}
       524:{1,3,6}:{(500,1),(501,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(515,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(518,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(515,1)}
       533:{1,4,5}:{(514,1),(516,1),(522,1)}
       534:{2,4,5,7}:{(515,1),(516,1),(517,1),(523,1),(542,1),(544,1),(545,1)}
       535:{1,3,4,6}:{(517,1),(518,1),(524,1),(527,1),(543,1),(545,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(521,1),(546,1)}
       537:{1,2,5}:{(520,1),(522,1)}
       538:{1,3,5,7}:{(521,1),(522,1),(523,1),(544,1),(546,1),(547,1)}
       539:{2,3,6}:{(523,1),(524,1),(545,1),(547,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(535,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(538,1),(548,1),(550,1)}
       545:{2,4,6}:{(534,1),(535,1),(539,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(538,1),(551,1)}
       547:{1,3,6}:{(538,1),(539,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1864 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1865 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

1866 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1867 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1868 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(11,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(41,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(42,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(24,1),(138,1)}
        12:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(25,1),(28,1),(63,1),(65,1),(92,1),(137,1)}
        13:{1,2,5}:{(5,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(65,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(31,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(74,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(32,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(46,1),(90,1),(154,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1)}
        25:{1,3,5}:{(12,1),(13,1),(37,1),(42,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(42,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(90,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,2,4,7}:{(17,1),(18,1),(50,1),(51,1),(56,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(52,1),(55,1),(96,1),(99,1),(101,1)}
        33:{1,2,5}:{(18,1),(52,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(57,1),(61,1),(110,1),(140,1)}
        37:{2,3,5}:{(21,1),(25,1),(52,1),(58,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(57,1),(62,1),(63,1)}
        41:{1,2,6}:{(24,1),(63,1)}
        42:{1,4,5}:{(25,1),(58,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(63,1),(65,1),(66,1),(112,1),(137,1),(164,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(65,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(75,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(73,1),(79,1),(121,1),(125,1)}
        51:{1,2,5,7}:{(31,1),(33,1),(73,1),(74,1)}
        52:{1,3,5}:{(32,1),(33,1),(37,1),(75,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(73,1),(81,1),(82,1)}
        58:{2,4,5}:{(37,1),(42,1),(75,1),(80,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(43,1),(76,1),(82,1),(83,1),(84,1),(85,1),(119,1),(128,1),(130,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(81,1),(87,1),(90,1),(134,1)}
        63:{1,3,6}:{(40,1),(41,1),(82,1),(87,1)}
        64:{1,2,6,7}:{(41,1),(44,1),(88,1),(133,1)}
        65:{1,4,6}:{(42,1),(43,1),(83,1),(90,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(90,1),(134,1),(154,1),(171,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(89,1),(91,1),(128,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(90,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(101,1),(139,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(52,1),(57,1),(98,1),(99,1)}
        74:{1,2,6}:{(51,1),(99,1)}
        75:{1,4,5}:{(52,1),(58,1),(101,1)}
        76:{1,3,5,6}:{(52,1),(53,1),(55,1),(59,1),(96,1),(99,1),(101,1),(102,1),(103,1),(143,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(58,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(107,1),(110,1),(150,1)}
        82:{2,3,6}:{(57,1),(63,1),(99,1),(107,1)}
        83:{2,4,6}:{(58,1),(59,1),(65,1),(101,1),(106,1),(110,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(66,1),(102,1),(108,1),(110,1),(111,1),(140,1),(149,1),(150,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,6}:{(62,1),(63,1),(107,1),(112,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(66,1),(108,1),(113,1),(174,1)}
        89:{1,4,5,6}:{(65,1),(67,1),(109,1),(112,1),(114,1),(164,1)}
        90:{1,4,7}:{(65,1),(66,1),(110,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(114,1),(115,1),(149,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(75,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(125,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(75,1),(81,1),(122,1),(125,1),(158,1)}
        99:{1,3,6}:{(73,1),(74,1),(82,1),(122,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(123,1),(172,1)}
       101:{1,4,6}:{(75,1),(76,1),(83,1),(125,1)}
       102:{1,3,5,7}:{(76,1),(77,1),(79,1),(84,1),(121,1),(123,1),(125,1),(126,1),(158,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(127,1),(129,1),(161,1)}
       106:{3,4,6}:{(80,1),(83,1),(128,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(87,1),(122,1),(127,1),(130,1)}
       108:{2,3,6,7}:{(82,1),(84,1),(88,1),(123,1),(131,1),(133,1),(162,1),(172,1)}
       109:{2,4,5,6}:{(83,1),(85,1),(89,1),(124,1),(128,1),(130,1),(132,1),(155,1),(160,1)}
       110:{2,4,7}:{(83,1),(84,1),(90,1),(125,1),(129,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,5,6}:{(87,1),(130,1),(134,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1)}
       114:{1,4,5,7}:{(89,1),(90,1),(91,1),(132,1),(134,1),(135,1),(171,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(135,1),(162,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(101,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,6}:{(98,1),(99,1),(107,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(102,1),(108,1),(144,1),(146,1)}
       124:{1,4,5,6}:{(101,1),(103,1),(109,1),(141,1),(143,1),(145,1)}
       125:{1,4,7}:{(101,1),(102,1),(110,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,4,6}:{(105,1),(107,1),(147,1)}
       128:{3,5,6}:{(106,1),(109,1),(149,1)}
       129:{3,4,7}:{(106,1),(110,1),(149,1)}
       130:{2,5,6}:{(107,1),(112,1),(143,1),(147,1),(150,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(110,1),(113,1),(144,1),(148,1),(150,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(114,1),(145,1),(149,1),(150,1),(151,1),(166,1),(169,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,5,7}:{(112,1),(113,1),(150,1)}
       135:{1,4,6,7}:{(114,1),(115,1),(151,1),(152,1),(174,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(124,1),(128,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(125,1),(129,1),(156,1),(157,1)}
       143:{1,5,6}:{(122,1),(130,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(158,1)}
       145:{1,4,5,7}:{(124,1),(125,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,6}:{(127,1),(130,1),(160,1),(161,1)}
       148:{3,4,6,7}:{(127,1),(129,1),(131,1),(161,1),(162,1),(173,1)}
       149:{3,5,7}:{(128,1),(129,1),(132,1),(162,1)}
       150:{2,5,7}:{(130,1),(131,1),(134,1),(158,1),(161,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1),(172,1),(173,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(145,1),(149,1),(166,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(150,1)}
       159:{1,4,6,7}:{(145,1),(146,1),(151,1),(167,1),(168,1)}
       160:{4,5,6}:{(147,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(150,1),(169,1)}
       162:{3,6,7}:{(149,1),(151,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(159,1),(162,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{4,5,7}:{(160,1),(161,1),(173,1)}
       170:{3,5,6,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1869 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1870 :   0:{1,2,3,6,7}:{(1,1),(2,1),(45,1),(79,1),(104,1),(146,1),(382,1),(493,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(143,1),(437,1),(461,1),(465,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(27,1),(116,1),(135,1),(198,1),(213,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(42,1),(82,1),(88,1),(162,1),(299,1),(529,1)}
         4:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(37,1),(45,1),(80,1),(161,1),(255,1),(261,1),(382,1),(482,1)}
         5:{1,2,3,5,6}:{(1,1),(12,1),(15,1),(40,1),(45,1),(100,1),(146,1),(184,1),(256,1),(380,1),(409,1),(416,1)}
         6:{1,2,4,7}:{(1,1),(12,1),(13,1),(190,1),(482,1)}
         7:{1,2,5,7}:{(2,1),(11,1),(15,1),(180,1),(256,1)}
         8:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(19,1),(52,1),(212,1),(359,1),(513,1),(517,1)}
         9:{1,2,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(53,1),(69,1),(129,1),(144,1),(204,1)}
        10:{2,3,4,6,7}:{(4,1),(16,1),(20,1),(25,1),(51,1),(56,1),(71,1),(118,1),(124,1),(135,1),(204,1),(218,1),(340,1),(449,1)}
        11:{1,3,5,7}:{(4,1),(7,1),(20,1),(21,1),(22,1),(318,1),(320,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(23,1),(24,1),(139,1),(240,1),(436,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(25,1),(26,1),(465,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(24,1),(26,1),(27,1),(60,1)}
        15:{1,2,5,6}:{(7,1),(22,1),(27,1),(130,1),(213,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(29,1),(31,1),(43,1),(74,1),(82,1),(103,1),(177,1),(183,1),(299,1),(415,1)}
        17:{1,2,3,5,6}:{(8,1),(30,1),(33,1),(77,1),(82,1),(88,1),(158,1),(178,1),(262,1),(297,1),(476,1),(483,1)}
        18:{1,2,4,7}:{(8,1),(30,1),(31,1),(268,1),(415,1)}
        19:{1,2,5,7}:{(9,1),(29,1),(33,1),(178,1),(258,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(29,1),(34,1),(35,1),(166,1),(180,1),(258,1),(277,1)}
        21:{1,4,5,7}:{(11,1),(34,1),(37,1),(379,1),(482,1)}
        22:{1,3,5,6}:{(11,1),(15,1),(35,1),(37,1),(45,1),(161,1),(257,1)}
        23:{1,3,4,6}:{(12,1),(13,1),(39,1),(40,1),(45,1),(300,1),(416,1)}
        24:{1,2,4,5}:{(12,1),(40,1),(96,1),(256,1),(379,1)}
        25:{2,3,4,7}:{(13,1),(39,1),(43,1),(44,1),(190,1),(418,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(37,1),(45,1),(93,1)}
        28:{1,2,5,6,7}:{(15,1),(38,1),(46,1),(180,1),(271,1),(288,1),(381,1),(393,1)}
        29:{1,3,5,7}:{(16,1),(19,1),(20,1),(47,1),(48,1),(235,1),(237,1)}
        30:{1,2,4,6}:{(17,1),(18,1),(49,1),(50,1),(208,1),(323,1),(358,1)}
        31:{1,3,4,7}:{(18,1),(49,1),(51,1),(52,1),(517,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(47,1),(50,1),(52,1),(53,1),(107,1)}
        33:{1,2,5,6}:{(19,1),(48,1),(53,1),(144,1),(199,1)}
        34:{2,4,5,7}:{(20,1),(21,1),(47,1),(55,1),(56,1),(337,1),(449,1)}
        35:{2,3,5,6}:{(20,1),(22,1),(48,1),(56,1),(71,1),(118,1),(120,1),(130,1),(199,1)}
        36:{1,3,4,5,7}:{(21,1),(26,1),(55,1),(60,1),(61,1),(63,1),(131,1),(140,1)}
        37:{1,4,6}:{(21,1),(22,1),(56,1)}
        38:{1,3,5,6,7}:{(22,1),(28,1),(57,1),(62,1),(72,1),(131,1),(214,1),(320,1),(437,1)}
        39:{2,3,4,6}:{(23,1),(25,1),(65,1),(66,1),(71,1),(139,1),(241,1),(362,1)}
        40:{1,3,5}:{(23,1),(24,1),(66,1)}
        41:{1,2,4,5,6}:{(24,1),(27,1),(58,1),(67,1),(68,1),(130,1),(139,1),(233,1),(319,1),(335,1),(353,1),(361,1),(436,1)}
        42:{1,2,3,7}:{(64,1),(69,1),(364,1)}
        43:{1,3,4,7}:{(25,1),(65,1),(69,1),(70,1),(247,1),(364,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(60,1),(66,1),(70,1),(71,1)}
        45:{1,3,6}:{(26,1),(27,1),(71,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(62,1),(68,1),(72,1),(135,1),(346,1),(444,1),(454,1)}
        47:{1,4,5,7}:{(29,1),(34,1),(74,1),(296,1),(415,1)}
        48:{1,3,5,6}:{(29,1),(33,1),(35,1),(74,1),(82,1),(103,1),(179,1)}
        49:{1,3,4,6}:{(30,1),(31,1),(76,1),(77,1),(82,1),(383,1),(483,1)}
        50:{1,2,4,5}:{(30,1),(77,1),(154,1),(178,1),(296,1)}
        51:{2,3,4,7}:{(31,1),(76,1),(80,1),(81,1),(268,1),(485,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(77,1),(81,1),(82,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(74,1),(82,1),(151,1)}
        54:{1,2,5,6,7}:{(33,1),(75,1),(83,1),(193,1),(258,1),(298,1),(371,1),(393,1)}
        55:{3,4,5,7}:{(34,1),(86,1),(166,1),(394,1),(490,1)}
        56:{2,4,6}:{(34,1),(35,1),(37,1),(74,1),(86,1)}
        57:{2,3,5,6,7}:{(35,1),(38,1),(75,1),(87,1),(104,1),(162,1),(166,1),(180,1),(258,1),(393,1),(398,1),(487,1)}
        58:{1,4,5,6}:{(37,1),(84,1),(89,1),(90,1),(257,1)}
        59:{1,2,3,5,7}:{(42,1),(88,1),(91,1),(95,1),(102,1),(178,1),(181,1),(262,1),(365,1),(467,1)}
        60:{2,4,5,7}:{(36,1),(44,1),(92,1),(93,1),(96,1),(180,1),(190,1)}
        61:{1,3,4,6}:{(36,1),(37,1),(45,1),(86,1),(89,1),(93,1)}
        62:{1,4,6,7}:{(37,1),(38,1),(87,1),(90,1),(482,1)}
        63:{1,3,4,5}:{(40,1),(96,1),(97,1),(379,1),(394,1)}
        64:{1,2,3,6}:{(42,1),(95,1),(98,1),(305,1)}
        65:{1,3,4,6}:{(39,1),(43,1),(98,1),(99,1),(103,1),(187,1),(189,1),(305,1)}
        66:{2,3,5}:{(39,1),(40,1),(96,1),(99,1)}
        67:{1,3,5,6}:{(40,1),(41,1),(45,1),(97,1),(100,1),(101,1),(395,1),(416,1)}
        68:{1,2,4,5,7}:{(41,1),(46,1),(90,1),(101,1),(180,1),(190,1),(295,1),(381,1),(396,1),(412,1),(417,1),(482,1)}
        69:{1,2,4,7}:{(42,1),(43,1),(98,1),(102,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(92,1),(99,1),(102,1),(103,1)}
        71:{2,3,6}:{(44,1),(45,1),(93,1),(103,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(101,1),(104,1),(487,1)}
        73:{1,3,4,5,7}:{(47,1),(52,1),(55,1),(107,1),(108,1),(110,1),(200,1),(209,1)}
        74:{1,4,6}:{(47,1),(48,1),(56,1)}
        75:{1,3,5,6,7}:{(48,1),(54,1),(57,1),(109,1),(119,1),(145,1),(200,1),(237,1),(359,1)}
        76:{2,3,4,6}:{(49,1),(51,1),(112,1),(113,1),(118,1),(208,1),(324,1),(440,1)}
        77:{1,3,5}:{(49,1),(50,1),(113,1)}
        78:{1,2,4,5,6}:{(50,1),(53,1),(105,1),(114,1),(115,1),(199,1),(208,1),(236,1),(316,1),(335,1),(358,1),(431,1),(439,1)}
        79:{1,2,3,7}:{(111,1),(116,1),(442,1)}
        80:{1,3,4,7}:{(51,1),(112,1),(116,1),(117,1),(330,1),(442,1)}
        81:{2,3,5,7}:{(51,1),(52,1),(107,1),(113,1),(117,1),(118,1)}
        82:{1,3,6}:{(52,1),(53,1),(118,1)}
        83:{1,2,4,6,7}:{(53,1),(54,1),(109,1),(115,1),(119,1),(204,1),(424,1),(444,1),(506,1)}
        84:{2,4,5,6}:{(56,1),(58,1),(105,1),(120,1),(121,1),(130,1),(199,1)}
        85:{2,3,4,5,7}:{(55,1),(60,1),(107,1),(122,1),(123,1),(136,1),(205,1),(220,1),(221,1),(244,1),(327,1),(337,1),(443,1),(449,1),(452,1),(504,1)}
        86:{3,4,6}:{(55,1),(56,1),(120,1)}
        87:{2,4,6,7}:{(56,1),(57,1),(62,1),(109,1),(121,1),(124,1),(449,1)}
        88:{1,2,3,6}:{(59,1),(129,1),(144,1),(238,1),(503,1)}
        89:{1,3,5,6}:{(58,1),(61,1),(120,1),(130,1),(131,1)}
        90:{1,4,5,7}:{(58,1),(62,1),(121,1),(131,1),(320,1)}
        91:{1,2,4,7}:{(59,1),(129,1),(132,1),(137,1),(323,1)}
        92:{1,4,5,7}:{(60,1),(70,1),(134,1),(138,1),(237,1),(247,1)}
        93:{2,4,6}:{(60,1),(61,1),(71,1),(130,1),(134,1)}
        94:{1,3,4,6,7}:{(61,1),(62,1),(72,1),(124,1),(131,1),(135,1),(140,1)}
        95:{1,2,3,5}:{(64,1),(137,1),(141,1),(245,1)}
        96:{2,4,5}:{(63,1),(66,1),(138,1),(139,1)}
        97:{1,3,4,6}:{(63,1),(67,1),(139,1),(140,1),(436,1),(447,1)}
        98:{1,2,4,6}:{(64,1),(65,1),(69,1),(137,1),(141,1),(144,1)}
        99:{1,3,5}:{(65,1),(66,1),(138,1),(141,1)}
       100:{2,3,5,6}:{(66,1),(67,1),(71,1),(130,1),(139,1),(142,1),(143,1),(353,1),(362,1)}
       101:{1,3,5,7}:{(67,1),(68,1),(72,1),(140,1),(143,1),(448,1),(465,1)}
       102:{1,2,5,7}:{(69,1),(70,1),(141,1),(144,1)}
       103:{1,3,6}:{(70,1),(71,1),(134,1),(144,1)}
       104:{2,3,6,7}:{(71,1),(72,1),(135,1),(143,1),(145,1),(454,1)}
       105:{1,4,5,6}:{(74,1),(84,1),(147,1),(148,1),(179,1)}
       106:{1,2,3,5,7}:{(79,1),(146,1),(149,1),(153,1),(160,1),(184,1),(256,1),(259,1),(282,1),(400,1)}
       107:{2,4,5,7}:{(73,1),(81,1),(150,1),(151,1),(154,1),(258,1),(268,1)}
       108:{1,3,4,6}:{(73,1),(74,1),(82,1),(86,1),(147,1),(151,1)}
       109:{1,4,6,7}:{(74,1),(75,1),(87,1),(148,1),(415,1)}
       110:{1,3,4,5}:{(77,1),(154,1),(155,1),(296,1),(394,1)}
       111:{1,2,3,6}:{(79,1),(153,1),(156,1),(388,1)}
       112:{1,3,4,6}:{(76,1),(80,1),(156,1),(157,1),(161,1),(265,1),(267,1),(388,1)}
       113:{2,3,5}:{(76,1),(77,1),(154,1),(157,1)}
       114:{1,3,5,6}:{(77,1),(78,1),(82,1),(155,1),(158,1),(159,1),(395,1),(483,1)}
       115:{1,2,4,5,7}:{(78,1),(83,1),(148,1),(159,1),(258,1),(268,1),(298,1),(378,1),(396,1),(415,1),(479,1),(484,1)}
       116:{1,2,4,7}:{(79,1),(80,1),(156,1),(160,1)}
       117:{1,3,5,7}:{(80,1),(81,1),(150,1),(157,1),(160,1),(161,1)}
       118:{2,3,6}:{(81,1),(82,1),(151,1),(161,1)}
       119:{1,3,6,7}:{(82,1),(83,1),(159,1),(162,1),(487,1)}
       120:{3,5,6}:{(84,1),(86,1),(166,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(90,1),(148,1),(166,1),(180,1),(258,1)}
       122:{1,3,4,5,7}:{(85,1),(92,1),(150,1),(168,1),(169,1),(181,1),(185,1),(259,1),(263,1),(279,1),(296,1),(304,1),(379,1),(387,1),(394,1),(415,1),(482,1),(490,1),(491,1),(527,1)}
       123:{2,3,4,6}:{(85,1),(86,1),(93,1),(151,1),(165,1),(169,1),(280,1),(397,1),(486,1),(494,1),(530,1)}
       124:{3,4,6,7}:{(86,1),(87,1),(166,1),(487,1),(490,1)}
       125:{1,2,3,6,7}:{(88,1),(171,1),(172,1),(193,1),(299,1),(365,1),(404,1),(495,1)}
       126:{1,4,5,6,7}:{(90,1),(163,1),(173,1),(371,1),(390,1),(498,1)}
       127:{1,2,3,5,6}:{(88,1),(95,1),(171,1),(174,1),(178,1),(191,1),(287,1),(293,1),(297,1),(305,1),(404,1),(411,1)}
       128:{1,3,4,5,6}:{(89,1),(97,1),(164,1),(175,1),(176,1),(275,1),(291,1),(395,1),(413,1),(496,1)}
       129:{1,2,4,6}:{(88,1),(91,1),(177,1),(178,1)}
       130:{2,5,6}:{(89,1),(93,1),(179,1),(180,1)}
       131:{1,3,5,7}:{(89,1),(90,1),(94,1),(166,1),(180,1)}
       132:{1,3,4,7}:{(91,1),(167,1),(177,1),(181,1),(187,1),(383,1),(415,1)}
       133:{1,2,4,5,7}:{(91,1),(92,1),(102,1),(168,1),(178,1),(181,1),(182,1),(188,1),(296,1),(298,1),(306,1),(384,1),(415,1),(467,1),(484,1),(527,1)}
       134:{1,4,6}:{(92,1),(93,1),(103,1),(179,1)}
       135:{2,4,6,7}:{(93,1),(94,1),(104,1),(180,1),(183,1),(190,1)}
       136:{2,3,4,5}:{(96,1),(185,1),(186,1),(302,1),(394,1),(410,1)}
       137:{1,2,4}:{(95,1),(187,1)}
       138:{1,4,5}:{(96,1),(99,1),(189,1)}
       139:{2,4,6}:{(96,1),(97,1),(100,1),(189,1),(190,1)}
       140:{1,3,4,7}:{(97,1),(101,1),(190,1),(482,1),(490,1)}
       141:{1,2,5}:{(98,1),(99,1)}
       142:{1,3,5,6}:{(99,1),(100,1),(103,1),(179,1),(189,1),(191,1),(192,1),(305,1)}
       143:{2,3,5,7}:{(100,1),(101,1),(104,1),(180,1),(190,1),(192,1),(412,1),(418,1)}
       144:{1,2,6}:{(102,1),(103,1)}
       145:{1,3,6,7}:{(103,1),(104,1),(183,1),(192,1),(193,1)}
       146:{1,2,3,6}:{(106,1),(198,1),(213,1),(321,1),(451,1)}
       147:{1,3,5,6}:{(105,1),(108,1),(120,1),(199,1),(200,1)}
       148:{1,4,5,7}:{(105,1),(109,1),(121,1),(200,1),(237,1)}
       149:{1,2,4,7}:{(106,1),(198,1),(201,1),(206,1),(240,1)}
       150:{1,4,5,7}:{(107,1),(117,1),(203,1),(207,1),(320,1),(330,1)}
       151:{2,4,6}:{(107,1),(108,1),(118,1),(199,1),(203,1)}
       152:{1,3,4,6,7}:{(108,1),(109,1),(119,1),(124,1),(200,1),(204,1),(209,1)}
       153:{1,2,3,5}:{(111,1),(206,1),(210,1),(328,1)}
       154:{2,4,5}:{(110,1),(113,1),(207,1),(208,1)}
       155:{1,3,4,6}:{(110,1),(114,1),(208,1),(209,1),(358,1),(447,1)}
       156:{1,2,4,6}:{(111,1),(112,1),(116,1),(206,1),(210,1),(213,1)}
       157:{1,3,5}:{(112,1),(113,1),(207,1),(210,1)}
       158:{2,3,5,6}:{(113,1),(114,1),(118,1),(199,1),(208,1),(211,1),(212,1),(431,1),(440,1)}
       159:{1,3,5,7}:{(114,1),(115,1),(119,1),(209,1),(212,1),(448,1),(517,1)}
       160:{1,2,5,7}:{(116,1),(117,1),(210,1),(213,1)}
       161:{1,3,6}:{(117,1),(118,1),(203,1),(213,1)}
       162:{2,3,6,7}:{(118,1),(119,1),(204,1),(212,1),(214,1),(506,1)}
       163:{2,4,5,6,7}:{(121,1),(126,1),(195,1),(215,1),(228,1),(311,1),(332,1),(444,1),(520,1)}
       164:{3,4,5,6}:{(120,1),(216,1),(217,1),(447,1),(518,1)}
       165:{2,3,5,6}:{(120,1),(123,1),(130,1),(199,1),(216,1),(219,1),(220,1),(518,1),(523,1),(544,1)}
       166:{3,5,7}:{(120,1),(121,1),(124,1)}
       167:{2,3,4,7}:{(132,1),(201,1),(218,1),(221,1),(241,1),(324,1),(449,1)}
       168:{2,4,5,7}:{(122,1),(221,1),(222,1),(242,1),(325,1),(337,1),(339,1),(363,1),(441,1),(449,1)}
       169:{1,3,4,6}:{(122,1),(123,1),(134,1),(203,1),(219,1),(222,1),(238,1),(321,1),(358,1),(436,1),(447,1),(521,1),(542,1)}
       170:{2,3,4,6,7}:{(123,1),(124,1),(135,1),(204,1),(220,1),(223,1),(244,1),(327,1),(332,1),(340,1),(343,1),(421,1),(449,1),(519,1),(524,1),(545,1)}
       171:{1,2,3,5,7}:{(125,1),(127,1),(224,1),(227,1),(248,1),(344,1),(359,1),(364,1),(463,1)}
       172:{1,2,4,6,7}:{(125,1),(129,1),(224,1),(226,1),(227,1),(345,1),(419,1),(503,1),(524,1)}
       173:{1,3,5,6,7}:{(126,1),(131,1),(215,1),(225,1),(228,1),(525,1)}
       174:{1,2,4,6}:{(127,1),(137,1),(224,1),(231,1),(232,1),(358,1),(462,1)}
       175:{2,4,5,6}:{(128,1),(130,1),(139,1),(230,1),(233,1),(234,1),(353,1),(462,1),(523,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(140,1),(217,1),(225,1),(234,1),(336,1),(354,1),(448,1),(464,1),(525,1)}
       177:{1,3,4,6}:{(129,1),(132,1),(218,1),(235,1),(238,1),(358,1)}
       178:{1,2,5}:{(129,1),(235,1)}
       179:{1,5,6}:{(130,1),(134,1),(237,1)}
       180:{2,5,7}:{(130,1),(131,1),(135,1),(237,1)}
       181:{1,3,5,7}:{(132,1),(133,1),(221,1),(235,1),(238,1),(245,1),(364,1),(438,1),(517,1)}
       182:{1,2,4,6}:{(133,1),(134,1),(144,1),(222,1),(236,1),(238,1),(358,1),(503,1),(542,1)}
       183:{1,4,6,7}:{(134,1),(135,1),(145,1),(237,1),(247,1)}
       184:{1,2,3,5}:{(229,1),(240,1),(351,1),(360,1)}
       185:{1,3,4,5}:{(136,1),(138,1),(242,1),(243,1),(245,1),(360,1),(459,1)}
       186:{2,3,4,6}:{(136,1),(139,1),(230,1),(243,1),(244,1),(362,1),(447,1),(462,1)}
       187:{1,3,4}:{(137,1),(241,1),(245,1)}
       188:{1,2,4,5}:{(137,1),(138,1),(141,1),(242,1),(245,1),(246,1)}
       189:{1,4,6}:{(138,1),(139,1),(142,1),(247,1)}
       190:{2,4,7}:{(139,1),(140,1),(143,1),(247,1)}
       191:{1,2,5,6}:{(141,1),(142,1),(144,1),(246,1),(248,1),(353,1)}
       192:{1,3,5,7}:{(142,1),(143,1),(145,1),(237,1),(247,1),(248,1),(364,1)}
       193:{1,2,6,7}:{(144,1),(145,1),(248,1),(454,1)}
       194:{1,2,3,6,7}:{(146,1),(249,1),(250,1),(271,1),(282,1),(382,1),(471,1),(531,1)}
       195:{1,4,5,6,7}:{(148,1),(163,1),(251,1),(288,1),(390,1),(534,1)}
       196:{1,2,3,5,6}:{(146,1),(153,1),(249,1),(252,1),(256,1),(269,1),(370,1),(376,1),(380,1),(388,1),(471,1),(478,1)}
       197:{1,3,4,5,6}:{(147,1),(155,1),(164,1),(253,1),(254,1),(275,1),(374,1),(395,1),(480,1),(532,1)}
       198:{1,2,4,6}:{(146,1),(149,1),(255,1),(256,1)}
       199:{2,5,6}:{(147,1),(151,1),(257,1),(258,1)}
       200:{1,3,5,7}:{(147,1),(148,1),(152,1),(166,1),(258,1)}
       201:{1,3,4,7}:{(149,1),(167,1),(255,1),(259,1),(265,1),(300,1),(482,1)}
       202:{1,2,4,5,7}:{(149,1),(150,1),(160,1),(168,1),(256,1),(259,1),(260,1),(266,1),(301,1),(379,1),(381,1),(389,1),(400,1),(417,1),(482,1),(491,1)}
       203:{1,4,6}:{(150,1),(151,1),(161,1),(257,1)}
       204:{2,4,6,7}:{(151,1),(152,1),(162,1),(258,1),(261,1),(268,1)}
       205:{2,3,4,5}:{(154,1),(263,1),(264,1),(385,1),(394,1),(477,1)}
       206:{1,2,4}:{(153,1),(265,1)}
       207:{1,4,5}:{(154,1),(157,1),(267,1)}
       208:{2,4,6}:{(154,1),(155,1),(158,1),(267,1),(268,1)}
       209:{1,3,4,7}:{(155,1),(159,1),(268,1),(415,1),(490,1)}
       210:{1,2,5}:{(156,1),(157,1)}
       211:{1,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(267,1),(269,1),(270,1),(388,1)}
       212:{2,3,5,7}:{(158,1),(159,1),(162,1),(258,1),(268,1),(270,1),(479,1),(485,1)}
       213:{1,2,6}:{(160,1),(161,1)}
       214:{1,3,6,7}:{(161,1),(162,1),(261,1),(270,1),(271,1)}
       215:{3,5,6,7}:{(163,1),(166,1),(272,1),(487,1),(538,1)}
       216:{2,4,5,6}:{(164,1),(165,1),(275,1),(276,1),(397,1)}
       217:{3,4,5,7}:{(164,1),(166,1),(272,1),(276,1),(490,1),(538,1)}
       218:{2,3,4,6}:{(167,1),(177,1),(255,1),(277,1),(280,1),(397,1)}
       219:{1,3,5,6}:{(165,1),(169,1),(179,1),(257,1),(275,1),(278,1),(279,1),(395,1),(539,1),(549,1)}
       220:{2,3,5,7}:{(165,1),(166,1),(170,1),(180,1),(258,1),(276,1),(279,1),(538,1),(541,1),(551,1)}
       221:{2,3,5,7}:{(167,1),(168,1),(181,1),(259,1),(277,1),(280,1),(302,1),(385,1),(418,1),(485,1)}
       222:{2,4,6}:{(168,1),(169,1),(278,1),(280,1)}
       223:{1,3,4,6,7}:{(169,1),(170,1),(183,1),(261,1),(279,1),(281,1),(299,1),(304,1),(382,1),(387,1),(390,1),(402,1),(415,1),(469,1),(482,1),(487,1),(490,1),(540,1),(550,1)}
       224:{1,2,4,7}:{(171,1),(174,1),(283,1),(415,1),(501,1)}
       225:{1,3,4,6,7}:{(173,1),(176,1),(272,1),(285,1),(390,1),(402,1),(487,1)}
       226:{1,3,4,6,7}:{(172,1),(177,1),(273,1),(283,1),(286,1),(299,1),(404,1),(406,1),(415,1),(466,1),(528,1),(550,1)}
       227:{1,2,5,7}:{(172,1),(178,1),(286,1),(287,1),(541,1)}
       228:{2,5,6,7}:{(173,1),(180,1),(285,1),(288,1),(541,1)}
       229:{1,2,3,6}:{(184,1),(282,1),(289,1),(416,1)}
       230:{2,3,5,6}:{(175,1),(186,1),(291,1),(292,1),(395,1)}
       231:{1,3,4,6}:{(174,1),(187,1),(283,1),(290,1),(293,1),(305,1),(404,1)}
       232:{1,2,4,5}:{(174,1),(178,1),(293,1),(296,1),(410,1)}
       233:{1,4,5,6}:{(175,1),(179,1),(189,1),(291,1),(295,1),(499,1),(539,1)}
       234:{2,4,5,7}:{(175,1),(176,1),(180,1),(190,1),(285,1),(292,1),(295,1),(412,1),(501,1),(541,1)}
       235:{1,3,5}:{(177,1),(178,1),(277,1),(296,1)}
       236:{1,2,5,6}:{(178,1),(179,1),(182,1),(278,1),(297,1),(298,1),(549,1)}
       237:{1,5,7}:{(179,1),(180,1),(183,1)}
       238:{1,3,6}:{(181,1),(182,1),(280,1)}
       239:{1,2,4,6,7}:{(182,1),(183,1),(193,1),(281,1),(298,1),(299,1),(306,1),(415,1),(484,1),(529,1),(550,1)}
       240:{1,2,4}:{(184,1),(300,1)}
       241:{2,3,4}:{(187,1),(300,1),(302,1)}
       242:{2,4,5}:{(185,1),(302,1),(303,1)}
       243:{1,3,4,6}:{(185,1),(186,1),(189,1),(291,1),(303,1),(304,1),(305,1),(416,1),(499,1)}
       244:{2,3,4,7}:{(186,1),(190,1),(292,1),(304,1),(418,1),(490,1),(501,1)}
       245:{1,3,5}:{(187,1),(188,1),(302,1),(305,1)}
       246:{1,2,4,6}:{(188,1),(189,1),(191,1),(303,1),(305,1),(306,1)}
       247:{1,4,7}:{(189,1),(190,1),(192,1)}
       248:{1,2,5,7}:{(191,1),(192,1),(193,1),(306,1),(412,1)}
       249:{1,2,3,5,7}:{(194,1),(196,1),(307,1),(310,1),(331,1),(422,1),(437,1),(442,1),(515,1)}
       250:{1,2,4,6,7}:{(194,1),(198,1),(307,1),(309,1),(310,1),(341,1),(423,1),(451,1),(545,1)}
       251:{1,3,5,6,7}:{(195,1),(200,1),(215,1),(308,1),(311,1),(546,1)}
       252:{1,2,4,6}:{(196,1),(206,1),(307,1),(314,1),(315,1),(436,1),(514,1)}
       253:{2,4,5,6}:{(197,1),(199,1),(208,1),(313,1),(316,1),(317,1),(431,1),(514,1),(544,1)}
       254:{1,3,4,5,7}:{(197,1),(200,1),(209,1),(217,1),(308,1),(317,1),(336,1),(432,1),(448,1),(516,1),(546,1)}
       255:{1,3,4,6}:{(198,1),(201,1),(218,1),(318,1),(321,1),(436,1)}
       256:{1,2,5}:{(198,1),(318,1)}
       257:{1,5,6}:{(199,1),(203,1),(320,1)}
       258:{2,5,7}:{(199,1),(200,1),(204,1),(320,1)}
       259:{1,3,5,7}:{(201,1),(202,1),(221,1),(318,1),(321,1),(328,1),(360,1),(442,1),(465,1)}
       260:{1,2,4,6}:{(202,1),(203,1),(213,1),(222,1),(319,1),(321,1),(436,1),(451,1),(521,1)}
       261:{1,4,6,7}:{(203,1),(204,1),(214,1),(320,1),(330,1)}
       262:{1,2,3,5}:{(312,1),(323,1),(429,1),(438,1)}
       263:{1,3,4,5}:{(205,1),(207,1),(325,1),(326,1),(328,1),(438,1),(511,1)}
       264:{2,3,4,6}:{(205,1),(208,1),(313,1),(326,1),(327,1),(440,1),(447,1),(514,1)}
       265:{1,3,4}:{(206,1),(324,1),(328,1)}
       266:{1,2,4,5}:{(206,1),(207,1),(210,1),(325,1),(328,1),(329,1)}
       267:{1,4,6}:{(207,1),(208,1),(211,1),(330,1)}
       268:{2,4,7}:{(208,1),(209,1),(212,1),(330,1)}
       269:{1,2,5,6}:{(210,1),(211,1),(213,1),(329,1),(331,1),(431,1)}
       270:{1,3,5,7}:{(211,1),(212,1),(214,1),(320,1),(330,1),(331,1),(442,1)}
       271:{1,2,6,7}:{(213,1),(214,1),(331,1),(506,1)}
       272:{3,4,6,7}:{(215,1),(217,1),(332,1)}
       273:{2,3,4,6,7}:{(218,1),(226,1),(309,1),(333,1),(340,1),(342,1),(420,1),(445,1),(449,1),(453,1),(505,1),(519,1),(524,1),(545,1)}
       274:{2,3,5,6,7}:{(215,1),(220,1),(228,1),(311,1),(332,1),(334,1),(343,1),(421,1)}
       275:{1,4,5,6}:{(216,1),(219,1),(335,1),(336,1),(358,1),(436,1)}
       276:{2,4,5,7}:{(216,1),(217,1),(220,1),(332,1),(336,1),(449,1)}
       277:{2,3,5}:{(218,1),(235,1),(318,1),(337,1)}
       278:{2,5,6}:{(219,1),(222,1),(339,1)}
       279:{1,3,5,7}:{(219,1),(220,1),(223,1),(237,1),(320,1),(336,1),(339,1),(448,1),(548,1),(552,1)}
       280:{2,3,6}:{(221,1),(222,1),(238,1),(321,1)}
       281:{2,4,6,7}:{(222,1),(223,1),(339,1),(340,1),(363,1),(441,1),(449,1),(454,1),(506,1)}
       282:{1,2,3,7}:{(229,1),(341,1),(465,1)}
       283:{1,3,4,7}:{(224,1),(231,1),(342,1),(344,1),(364,1)}
       284:{1,2,4,5,7}:{(224,1),(227,1),(232,1),(344,1),(345,1),(347,1),(452,1)}
       285:{2,4,6,7}:{(225,1),(228,1),(234,1),(343,1),(346,1),(454,1)}
       286:{1,3,5,7}:{(226,1),(227,1),(235,1),(333,1),(347,1),(348,1),(552,1)}
       287:{1,2,5,6}:{(227,1),(345,1),(348,1),(503,1),(523,1)}
       288:{1,5,6,7}:{(228,1),(237,1),(346,1),(548,1)}
       289:{1,2,4,6}:{(229,1),(240,1),(341,1),(350,1),(351,1),(451,1)}
       290:{2,3,4,6}:{(231,1),(241,1),(342,1),(350,1),(352,1),(362,1),(453,1),(462,1)}
       291:{1,3,5,6}:{(230,1),(233,1),(243,1),(353,1),(354,1)}
       292:{2,3,5,7}:{(230,1),(234,1),(244,1),(343,1),(354,1),(448,1)}
       293:{1,3,5}:{(231,1),(232,1),(352,1)}
       294:{1,2,4,5,6}:{(232,1),(233,1),(236,1),(246,1),(335,1),(345,1),(353,1),(356,1),(357,1),(358,1),(457,1),(462,1),(523,1)}
       295:{1,4,5,7}:{(233,1),(234,1),(237,1),(247,1),(346,1),(354,1),(526,1),(548,1)}
       296:{1,4,5}:{(235,1),(337,1),(358,1)}
       297:{1,3,5,6}:{(235,1),(236,1),(238,1),(338,1),(358,1),(359,1)}
       298:{1,2,5,7}:{(236,1),(237,1),(239,1),(339,1),(359,1),(552,1)}
       299:{1,3,6,7}:{(238,1),(239,1),(340,1),(359,1),(364,1),(517,1)}
       300:{1,3,4}:{(240,1),(241,1),(360,1)}
       301:{1,2,4,5}:{(240,1),(242,1),(351,1),(360,1),(361,1),(459,1)}
       302:{2,3,5}:{(241,1),(242,1),(245,1),(360,1),(362,1)}
       303:{2,4,6}:{(242,1),(243,1),(353,1),(362,1),(363,1)}
       304:{1,3,4,7}:{(243,1),(244,1),(247,1),(354,1),(363,1),(364,1),(465,1),(526,1)}
       305:{1,3,6}:{(245,1),(246,1),(362,1),(364,1)}
       306:{1,2,4,7}:{(246,1),(247,1),(248,1),(363,1),(364,1)}
       307:{1,2,4,7}:{(249,1),(252,1),(366,1),(482,1),(537,1)}
       308:{1,3,4,6,7}:{(251,1),(254,1),(272,1),(368,1),(390,1),(469,1),(487,1)}
       309:{1,3,4,6,7}:{(250,1),(255,1),(273,1),(366,1),(369,1),(382,1),(399,1),(471,1),(473,1),(482,1),(492,1),(540,1)}
       310:{1,2,5,7}:{(250,1),(256,1),(369,1),(370,1),(551,1)}
       311:{2,5,6,7}:{(251,1),(258,1),(368,1),(371,1),(551,1)}
       312:{1,2,3,6}:{(262,1),(365,1),(372,1),(483,1)}
       313:{2,3,5,6}:{(253,1),(264,1),(374,1),(375,1),(395,1)}
       314:{1,3,4,6}:{(252,1),(265,1),(366,1),(373,1),(376,1),(388,1),(471,1)}
       315:{1,2,4,5}:{(252,1),(256,1),(376,1),(379,1),(477,1)}
       316:{1,4,5,6}:{(253,1),(257,1),(267,1),(374,1),(378,1),(535,1),(549,1)}
       317:{2,4,5,7}:{(253,1),(254,1),(258,1),(268,1),(368,1),(375,1),(378,1),(479,1),(537,1),(551,1)}
       318:{1,3,5}:{(255,1),(256,1),(277,1),(379,1)}
       319:{1,2,5,6}:{(256,1),(257,1),(260,1),(278,1),(380,1),(381,1),(539,1)}
       320:{1,5,7}:{(257,1),(258,1),(261,1)}
       321:{1,3,6}:{(259,1),(260,1),(280,1)}
       322:{1,2,4,6,7}:{(260,1),(261,1),(271,1),(281,1),(381,1),(382,1),(389,1),(417,1),(482,1),(493,1),(540,1)}
       323:{1,2,4}:{(262,1),(383,1)}
       324:{2,3,4}:{(265,1),(383,1),(385,1)}
       325:{2,4,5}:{(263,1),(385,1),(386,1)}
       326:{1,3,4,6}:{(263,1),(264,1),(267,1),(374,1),(386,1),(387,1),(388,1),(483,1),(535,1)}
       327:{2,3,4,7}:{(264,1),(268,1),(375,1),(387,1),(485,1),(490,1),(537,1)}
       328:{1,3,5}:{(265,1),(266,1),(385,1),(388,1)}
       329:{1,2,4,6}:{(266,1),(267,1),(269,1),(386,1),(388,1),(389,1)}
       330:{1,4,7}:{(267,1),(268,1),(270,1)}
       331:{1,2,5,7}:{(269,1),(270,1),(271,1),(389,1),(479,1)}
       332:{2,4,6,7}:{(272,1),(274,1),(276,1),(390,1)}
       333:{2,3,5,7}:{(273,1),(277,1),(286,1),(369,1),(391,1),(392,1),(538,1),(541,1),(551,1)}
       334:{1,3,5,6,7}:{(274,1),(279,1),(288,1),(371,1),(390,1),(393,1),(402,1),(469,1),(487,1)}
       335:{2,4,5,6}:{(275,1),(278,1),(395,1),(396,1),(397,1)}
       336:{1,4,5,7}:{(275,1),(276,1),(279,1),(390,1),(396,1),(415,1),(482,1)}
       337:{2,4,5}:{(277,1),(296,1),(379,1),(394,1),(397,1)}
       338:{2,3,5,6}:{(277,1),(278,1),(280,1),(297,1),(380,1),(395,1),(397,1),(398,1)}
       339:{2,5,7}:{(278,1),(279,1),(281,1)}
       340:{2,3,6,7}:{(280,1),(281,1),(299,1),(382,1),(398,1),(418,1),(485,1),(487,1)}
       341:{1,2,4,7}:{(282,1),(289,1),(399,1),(400,1)}
       342:{2,3,4,7}:{(283,1),(290,1),(399,1),(401,1),(418,1),(501,1)}
       343:{2,3,6,7}:{(285,1),(292,1),(402,1),(487,1)}
       344:{1,3,5,7}:{(283,1),(284,1),(293,1),(401,1),(404,1)}
       345:{1,2,4,6}:{(284,1),(287,1),(404,1),(406,1),(494,1)}
       346:{1,4,6,7}:{(285,1),(288,1),(295,1),(402,1)}
       347:{1,4,5,7}:{(286,1),(296,1),(391,1),(406,1),(415,1)}
       348:{1,3,5,6}:{(286,1),(287,1),(392,1),(404,1),(406,1),(528,1),(549,1)}
       349:{1,2,5,6,7}:{(287,1),(288,1),(298,1),(393,1),(405,1),(407,1),(529,1),(541,1)}
       350:{1,3,4,6}:{(289,1),(290,1),(300,1),(399,1),(408,1),(416,1),(492,1),(499,1)}
       351:{1,2,5}:{(289,1),(408,1)}
       352:{2,3,5}:{(290,1),(293,1),(408,1),(410,1)}
       353:{2,5,6}:{(291,1),(303,1),(412,1)}
       354:{1,3,5,7}:{(291,1),(292,1),(295,1),(304,1),(402,1),(412,1)}
       355:{1,3,4,5}:{(293,1),(296,1),(394,1),(410,1),(413,1)}
       356:{1,3,5,6}:{(293,1),(294,1),(305,1),(395,1),(404,1),(411,1),(413,1),(414,1)}
       357:{1,2,4,5,7}:{(294,1),(295,1),(298,1),(306,1),(396,1),(405,1),(412,1),(414,1),(415,1),(498,1),(501,1),(541,1)}
       358:{1,4,6}:{(296,1),(297,1),(397,1),(415,1)}
       359:{1,3,5,7}:{(297,1),(298,1),(299,1),(398,1),(415,1)}
       360:{1,3,5}:{(300,1),(301,1),(302,1),(416,1)}
       361:{1,2,4,6}:{(301,1),(303,1),(409,1),(416,1),(417,1),(499,1)}
       362:{2,3,6}:{(302,1),(303,1),(305,1),(416,1),(418,1)}
       363:{2,4,7}:{(303,1),(304,1),(412,1),(418,1)}
       364:{1,3,7}:{(305,1),(306,1),(418,1)}
       365:{1,2,3,7}:{(312,1),(419,1),(517,1)}
       366:{1,3,4,7}:{(307,1),(314,1),(420,1),(422,1),(442,1)}
       367:{1,2,4,5,7}:{(307,1),(310,1),(315,1),(422,1),(423,1),(425,1),(504,1)}
       368:{2,4,6,7}:{(308,1),(311,1),(317,1),(421,1),(424,1),(506,1)}
       369:{1,3,5,7}:{(309,1),(310,1),(318,1),(333,1),(425,1),(426,1),(548,1)}
       370:{1,2,5,6}:{(310,1),(423,1),(426,1),(451,1),(544,1)}
       371:{1,5,6,7}:{(311,1),(320,1),(424,1),(552,1)}
       372:{1,2,4,6}:{(312,1),(323,1),(419,1),(428,1),(429,1),(503,1)}
       373:{2,3,4,6}:{(314,1),(324,1),(420,1),(428,1),(430,1),(440,1),(505,1),(514,1)}
       374:{1,3,5,6}:{(313,1),(316,1),(326,1),(431,1),(432,1)}
       375:{2,3,5,7}:{(313,1),(317,1),(327,1),(421,1),(432,1),(448,1)}
       376:{1,3,5}:{(314,1),(315,1),(430,1)}
       377:{1,2,4,5,6}:{(315,1),(316,1),(319,1),(329,1),(335,1),(423,1),(431,1),(434,1),(435,1),(436,1),(509,1),(514,1),(544,1)}
       378:{1,4,5,7}:{(316,1),(317,1),(320,1),(330,1),(424,1),(432,1),(547,1),(552,1)}
       379:{1,4,5}:{(318,1),(337,1),(436,1)}
       380:{1,3,5,6}:{(318,1),(319,1),(321,1),(338,1),(436,1),(437,1)}
       381:{1,2,5,7}:{(319,1),(320,1),(322,1),(339,1),(437,1),(548,1)}
       382:{1,3,6,7}:{(321,1),(322,1),(340,1),(437,1),(442,1),(465,1)}
       383:{1,3,4}:{(323,1),(324,1),(438,1)}
       384:{1,2,4,5}:{(323,1),(325,1),(429,1),(438,1),(439,1),(511,1)}
       385:{2,3,5}:{(324,1),(325,1),(328,1),(438,1),(440,1)}
       386:{2,4,6}:{(325,1),(326,1),(431,1),(440,1),(441,1)}
       387:{1,3,4,7}:{(326,1),(327,1),(330,1),(432,1),(441,1),(442,1),(517,1),(547,1)}
       388:{1,3,6}:{(328,1),(329,1),(440,1),(442,1)}
       389:{1,2,4,7}:{(329,1),(330,1),(331,1),(441,1),(442,1)}
       390:{1,4,6,7}:{(332,1),(334,1),(336,1),(444,1)}
       391:{2,4,5,7}:{(333,1),(337,1),(347,1),(425,1),(443,1),(445,1),(449,1)}
       392:{2,3,5,6}:{(333,1),(348,1),(426,1),(445,1),(453,1),(505,1),(518,1),(523,1),(544,1)}
       393:{2,5,6,7}:{(334,1),(339,1),(444,1),(454,1),(506,1)}
       394:{3,4,5}:{(337,1),(447,1)}
       395:{3,5,6}:{(335,1),(447,1),(448,1)}
       396:{2,4,5,7}:{(335,1),(336,1),(339,1),(444,1),(448,1),(449,1)}
       397:{2,4,6}:{(337,1),(338,1),(358,1),(436,1),(447,1),(449,1)}
       398:{2,3,5,7}:{(338,1),(339,1),(340,1),(359,1),(437,1),(448,1),(449,1)}
       399:{1,3,4,7}:{(341,1),(342,1),(350,1),(450,1),(465,1),(526,1)}
       400:{1,2,5,7}:{(341,1),(351,1),(450,1),(451,1)}
       401:{2,3,5,7}:{(342,1),(344,1),(352,1),(450,1),(452,1),(453,1)}
       402:{1,3,6,7}:{(343,1),(346,1),(354,1),(454,1)}
       403:{1,3,4,5,7}:{(344,1),(347,1),(355,1),(443,1),(452,1),(455,1),(464,1),(525,1)}
       404:{1,3,6}:{(344,1),(345,1),(453,1)}
       405:{1,2,4,6,7}:{(345,1),(346,1),(349,1),(357,1),(444,1),(454,1),(456,1),(458,1),(524,1)}
       406:{1,4,6}:{(347,1),(348,1),(445,1)}
       407:{1,3,5,6,7}:{(348,1),(349,1),(359,1),(446,1),(456,1),(458,1),(525,1),(543,1),(552,1)}
       408:{1,3,5}:{(350,1),(351,1),(352,1),(459,1)}
       409:{1,2,5,6}:{(351,1),(353,1),(361,1),(451,1),(460,1),(461,1)}
       410:{2,4,5}:{(352,1),(355,1),(459,1),(462,1)}
       411:{2,3,5,6}:{(352,1),(353,1),(356,1),(362,1),(453,1),(460,1),(462,1),(463,1),(523,1)}
       412:{2,5,7}:{(353,1),(354,1),(363,1),(454,1)}
       413:{1,3,4,6}:{(355,1),(356,1),(358,1),(447,1),(462,1),(464,1)}
       414:{1,3,5,7}:{(356,1),(357,1),(364,1),(448,1),(456,1),(463,1),(464,1)}
       415:{1,4,7}:{(358,1),(359,1),(449,1)}
       416:{1,3,6}:{(360,1),(361,1),(362,1),(465,1)}
       417:{1,2,4,7}:{(361,1),(363,1),(461,1),(465,1),(526,1)}
       418:{2,3,7}:{(362,1),(363,1),(364,1),(465,1)}
       419:{1,2,4,7}:{(365,1),(372,1),(466,1),(467,1)}
       420:{2,3,4,7}:{(366,1),(373,1),(466,1),(468,1),(485,1),(537,1)}
       421:{2,3,6,7}:{(368,1),(375,1),(469,1),(487,1)}
       422:{1,3,5,7}:{(366,1),(367,1),(376,1),(468,1),(471,1)}
       423:{1,2,4,6}:{(367,1),(370,1),(471,1),(473,1),(530,1)}
       424:{1,4,6,7}:{(368,1),(371,1),(378,1),(469,1)}
       425:{1,4,5,7}:{(369,1),(379,1),(391,1),(473,1),(482,1)}
       426:{1,3,5,6}:{(369,1),(370,1),(392,1),(471,1),(473,1),(492,1),(539,1)}
       427:{1,2,5,6,7}:{(370,1),(371,1),(381,1),(393,1),(472,1),(474,1),(493,1),(551,1)}
       428:{1,3,4,6}:{(372,1),(373,1),(383,1),(466,1),(475,1),(483,1),(528,1),(535,1)}
       429:{1,2,5}:{(372,1),(475,1)}
       430:{2,3,5}:{(373,1),(376,1),(475,1),(477,1)}
       431:{2,5,6}:{(374,1),(386,1),(479,1)}
       432:{1,3,5,7}:{(374,1),(375,1),(378,1),(387,1),(469,1),(479,1)}
       433:{1,3,4,5}:{(376,1),(379,1),(394,1),(477,1),(480,1)}
       434:{1,3,5,6}:{(376,1),(377,1),(388,1),(395,1),(471,1),(478,1),(480,1),(481,1)}
       435:{1,2,4,5,7}:{(377,1),(378,1),(381,1),(389,1),(396,1),(472,1),(479,1),(481,1),(482,1),(534,1),(537,1),(551,1)}
       436:{1,4,6}:{(379,1),(380,1),(397,1),(482,1)}
       437:{1,3,5,7}:{(380,1),(381,1),(382,1),(398,1),(482,1)}
       438:{1,3,5}:{(383,1),(384,1),(385,1),(483,1)}
       439:{1,2,4,6}:{(384,1),(386,1),(476,1),(483,1),(484,1),(535,1)}
       440:{2,3,6}:{(385,1),(386,1),(388,1),(483,1),(485,1)}
       441:{2,4,7}:{(386,1),(387,1),(479,1),(485,1)}
       442:{1,3,7}:{(388,1),(389,1),(485,1)}
       443:{3,4,5,7}:{(391,1),(394,1),(486,1),(490,1),(538,1)}
       444:{2,4,6,7}:{(390,1),(393,1),(396,1),(487,1)}
       445:{2,4,6}:{(391,1),(392,1),(406,1),(473,1),(486,1)}
       446:{2,3,5,6,7}:{(392,1),(393,1),(398,1),(407,1),(474,1),(487,1),(489,1),(495,1),(531,1),(538,1),(541,1),(551,1)}
       447:{3,4,6}:{(394,1),(395,1),(397,1),(490,1)}
       448:{3,5,7}:{(395,1),(396,1),(487,1),(490,1)}
       449:{2,4,7}:{(397,1),(398,1),(415,1),(482,1),(490,1)}
       450:{1,3,5,7}:{(399,1),(400,1),(401,1),(408,1),(491,1),(492,1)}
       451:{1,2,6}:{(400,1),(492,1)}
       452:{2,4,5,7}:{(401,1),(403,1),(410,1),(491,1),(494,1),(501,1),(541,1)}
       453:{2,3,6}:{(401,1),(404,1),(492,1),(494,1)}
       454:{2,6,7}:{(402,1),(412,1)}
       455:{1,3,4,6}:{(403,1),(404,1),(406,1),(486,1),(494,1),(496,1)}
       456:{1,3,6,7}:{(404,1),(405,1),(414,1),(487,1),(495,1)}
       457:{1,4,5,6}:{(406,1),(488,1),(496,1),(498,1),(549,1)}
       458:{1,4,6,7}:{(406,1),(407,1),(415,1),(489,1),(498,1)}
       459:{1,4,5}:{(408,1),(410,1),(499,1)}
       460:{1,3,5,6}:{(408,1),(409,1),(411,1),(416,1),(492,1),(499,1),(500,1),(539,1)}
       461:{1,2,5,7}:{(409,1),(412,1),(417,1),(493,1),(500,1)}
       462:{2,4,6}:{(410,1),(411,1),(413,1),(499,1),(501,1)}
       463:{2,3,5,7}:{(411,1),(412,1),(414,1),(418,1),(495,1),(500,1),(501,1),(541,1)}
       464:{1,3,4,7}:{(413,1),(414,1),(415,1),(490,1),(501,1)}
       465:{1,3,7}:{(416,1),(417,1),(418,1)}
       466:{1,3,4,7}:{(419,1),(420,1),(428,1),(502,1),(517,1),(547,1)}
       467:{1,2,5,7}:{(419,1),(429,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(420,1),(422,1),(430,1),(502,1),(504,1),(505,1)}
       469:{1,3,6,7}:{(421,1),(424,1),(432,1),(506,1)}
       470:{1,3,4,5,7}:{(422,1),(425,1),(433,1),(443,1),(504,1),(507,1),(516,1),(546,1)}
       471:{1,3,6}:{(422,1),(423,1),(505,1)}
       472:{1,2,4,6,7}:{(423,1),(424,1),(427,1),(435,1),(444,1),(506,1),(508,1),(510,1),(545,1)}
       473:{1,4,6}:{(425,1),(426,1),(445,1)}
       474:{1,3,5,6,7}:{(426,1),(427,1),(437,1),(446,1),(508,1),(510,1),(522,1),(546,1),(548,1)}
       475:{1,3,5}:{(428,1),(429,1),(430,1),(511,1)}
       476:{1,2,5,6}:{(429,1),(431,1),(439,1),(503,1),(512,1),(513,1)}
       477:{2,4,5}:{(430,1),(433,1),(511,1),(514,1)}
       478:{2,3,5,6}:{(430,1),(431,1),(434,1),(440,1),(505,1),(512,1),(514,1),(515,1),(544,1)}
       479:{2,5,7}:{(431,1),(432,1),(441,1),(506,1)}
       480:{1,3,4,6}:{(433,1),(434,1),(436,1),(447,1),(514,1),(516,1)}
       481:{1,3,5,7}:{(434,1),(435,1),(442,1),(448,1),(508,1),(515,1),(516,1)}
       482:{1,4,7}:{(436,1),(437,1),(449,1)}
       483:{1,3,6}:{(438,1),(439,1),(440,1),(517,1)}
       484:{1,2,4,7}:{(439,1),(441,1),(513,1),(517,1),(547,1)}
       485:{2,3,7}:{(440,1),(441,1),(442,1),(517,1)}
       486:{3,4,6}:{(443,1),(445,1),(518,1)}
       487:{3,6,7}:{(444,1),(448,1)}
       488:{2,4,5,6}:{(445,1),(457,1),(509,1),(518,1),(520,1),(523,1),(544,1)}
       489:{2,4,6,7}:{(445,1),(446,1),(449,1),(458,1),(510,1),(519,1),(520,1)}
       490:{3,4,7}:{(447,1),(448,1),(449,1)}
       491:{1,4,5,7}:{(450,1),(452,1),(459,1),(521,1),(526,1),(548,1)}
       492:{1,3,6}:{(450,1),(451,1),(453,1),(521,1)}
       493:{1,2,6,7}:{(451,1),(454,1),(461,1),(522,1)}
       494:{2,4,6}:{(452,1),(453,1),(455,1),(521,1),(523,1)}
       495:{2,3,6,7}:{(453,1),(454,1),(456,1),(463,1),(522,1),(524,1)}
       496:{1,3,5,6}:{(455,1),(457,1),(518,1),(523,1),(525,1)}
       497:{1,3,4,6,7}:{(455,1),(456,1),(458,1),(464,1),(519,1),(524,1),(525,1)}
       498:{1,4,5,7}:{(457,1),(458,1),(520,1),(525,1),(552,1)}
       499:{1,4,6}:{(459,1),(460,1),(462,1),(526,1)}
       500:{1,3,5,7}:{(460,1),(461,1),(463,1),(465,1),(522,1),(526,1),(548,1)}
       501:{2,4,7}:{(462,1),(463,1),(464,1),(526,1)}
       502:{1,3,5,7}:{(466,1),(467,1),(468,1),(475,1),(527,1),(528,1)}
       503:{1,2,6}:{(467,1),(528,1)}
       504:{2,4,5,7}:{(468,1),(470,1),(477,1),(527,1),(530,1),(537,1),(551,1)}
       505:{2,3,6}:{(468,1),(471,1),(528,1),(530,1)}
       506:{2,6,7}:{(469,1),(479,1)}
       507:{1,3,4,6}:{(470,1),(471,1),(473,1),(486,1),(530,1),(532,1)}
       508:{1,3,6,7}:{(471,1),(472,1),(481,1),(487,1),(531,1)}
       509:{1,4,5,6}:{(473,1),(488,1),(532,1),(534,1),(539,1)}
       510:{1,4,6,7}:{(473,1),(474,1),(482,1),(489,1),(534,1)}
       511:{1,4,5}:{(475,1),(477,1),(535,1)}
       512:{1,3,5,6}:{(475,1),(476,1),(478,1),(483,1),(528,1),(535,1),(536,1),(549,1)}
       513:{1,2,5,7}:{(476,1),(479,1),(484,1),(529,1),(536,1)}
       514:{2,4,6}:{(477,1),(478,1),(480,1),(535,1),(537,1)}
       515:{2,3,5,7}:{(478,1),(479,1),(481,1),(485,1),(531,1),(536,1),(537,1),(551,1)}
       516:{1,3,4,7}:{(480,1),(481,1),(482,1),(490,1),(537,1)}
       517:{1,3,7}:{(483,1),(484,1),(485,1)}
       518:{3,5,6}:{(486,1),(488,1),(538,1)}
       519:{3,4,6,7}:{(486,1),(487,1),(489,1),(490,1),(538,1)}
       520:{2,4,5,7}:{(488,1),(489,1),(498,1),(534,1),(538,1),(541,1),(551,1)}
       521:{1,4,6}:{(491,1),(492,1),(494,1),(539,1)}
       522:{1,3,6,7}:{(492,1),(493,1),(495,1),(500,1),(540,1)}
       523:{2,5,6}:{(494,1),(496,1),(539,1),(541,1)}
       524:{2,4,6,7}:{(494,1),(495,1),(497,1),(501,1),(540,1),(541,1)}
       525:{1,3,5,7}:{(496,1),(497,1),(498,1),(538,1),(541,1)}
       526:{1,4,7}:{(499,1),(500,1),(501,1)}
       527:{1,4,5,7}:{(502,1),(504,1),(511,1),(542,1),(547,1),(552,1)}
       528:{1,3,6}:{(502,1),(503,1),(505,1),(542,1)}
       529:{1,2,6,7}:{(503,1),(506,1),(513,1),(543,1)}
       530:{2,4,6}:{(504,1),(505,1),(507,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(505,1),(506,1),(508,1),(515,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(507,1),(509,1),(518,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(507,1),(508,1),(510,1),(516,1),(519,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(509,1),(510,1),(520,1),(546,1),(548,1)}
       535:{1,4,6}:{(511,1),(512,1),(514,1),(547,1)}
       536:{1,3,5,7}:{(512,1),(513,1),(515,1),(517,1),(543,1),(547,1),(552,1)}
       537:{2,4,7}:{(514,1),(515,1),(516,1),(547,1)}
       538:{3,5,7}:{(518,1),(519,1),(520,1)}
       539:{1,5,6}:{(521,1),(523,1),(548,1)}
       540:{1,4,6,7}:{(521,1),(522,1),(524,1),(526,1),(548,1)}
       541:{2,5,7}:{(523,1),(524,1),(525,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(536,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(537,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(538,1),(551,1)}
       547:{1,4,7}:{(535,1),(536,1),(537,1)}
       548:{1,5,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

1871 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1872 :   0:{1,4,5,6,7}:{(1,1),(2,1),(36,1),(41,1),(113,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(7,1),(19,1),(22,1),(66,1),(132,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(6,1),(7,1),(150,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(16,1),(41,1),(164,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(95,1),(173,1)}
         5:{1,3,4,5,6}:{(9,1),(13,1),(14,1),(39,1),(49,1),(93,1),(109,1),(192,1)}
         6:{1,3,4,6,7}:{(2,1),(10,1),(13,1),(15,1),(41,1),(51,1),(95,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(16,1),(191,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(18,1),(19,1),(206,1)}
         9:{3,4,5,6}:{(20,1),(21,1),(217,1),(279,1)}
        10:{3,4,6,7}:{(4,1),(20,1),(22,1)}
        11:{2,3,5,6,7}:{(4,1),(7,1),(19,1),(22,1),(23,1),(30,1),(58,1),(61,1)}
        12:{2,3,4,5,7}:{(24,1),(25,1),(26,1),(54,1),(61,1),(71,1),(114,1),(135,1),(210,1),(227,1),(271,1),(276,1),(280,1),(308,1)}
        13:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(27,1),(62,1),(74,1),(125,1),(144,1),(150,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(76,1),(146,1),(231,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(30,1),(31,1),(78,1)}
        16:{1,5,6,7}:{(7,1),(31,1),(230,1)}
        17:{1,3,4,5,6}:{(9,1),(33,1),(34,1),(39,1),(85,1),(93,1),(160,1),(245,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(33,1),(35,1),(41,1),(87,1),(95,1)}
        19:{2,5,6,7}:{(8,1),(35,1),(36,1),(244,1)}
        20:{3,4,5,7}:{(9,1),(10,1),(37,1),(173,1),(296,1)}
        21:{2,4,5,6}:{(9,1),(37,1),(38,1),(39,1),(250,1)}
        22:{2,4,6,7}:{(10,1),(11,1),(37,1),(41,1)}
        23:{1,3,5,6,7}:{(11,1),(16,1),(36,1),(41,1),(42,1),(51,1),(87,1),(90,1),(95,1)}
        24:{2,3,4,6}:{(12,1),(38,1),(43,1),(175,1),(249,1),(250,1),(262,1),(294,1),(313,1)}
        25:{1,3,4,5,7}:{(12,1),(43,1),(44,1),(46,1),(82,1),(90,1),(99,1),(101,1),(152,1),(167,1),(170,1),(247,1),(251,1),(261,1),(293,1)}
        26:{2,3,4,5}:{(45,1),(46,1),(170,1),(183,1),(189,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(15,1),(47,1),(48,1),(105,1),(186,1),(191,1)}
        28:{2,3,5,6}:{(14,1),(45,1),(47,1),(49,1),(93,1)}
        29:{1,4,5,6}:{(14,1),(48,1),(49,1),(188,1),(263,1)}
        30:{2,3,6,7}:{(15,1),(47,1),(51,1),(95,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(48,1),(51,1)}
        32:{1,2,5,6,7}:{(16,1),(42,1),(52,1),(53,1),(161,1),(165,1),(191,1),(263,1),(300,1)}
        33:{1,3,4,5,7}:{(17,1),(18,1),(20,1),(55,1),(62,1),(117,1),(125,1),(200,1),(206,1)}
        34:{2,4,5,6}:{(17,1),(55,1),(56,1),(57,1),(119,1),(202,1),(275,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(55,1),(58,1),(59,1),(121,1)}
        36:{1,5,6,7}:{(19,1),(59,1),(274,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(22,1),(61,1),(62,1),(276,1)}
        38:{2,3,5,6}:{(21,1),(24,1),(61,1),(63,1),(217,1),(231,1),(275,1)}
        39:{1,4,5,6}:{(21,1),(62,1),(63,1),(64,1),(212,1)}
        40:{2,3,4,6,7}:{(22,1),(24,1),(30,1),(58,1),(61,1),(65,1),(71,1),(114,1),(131,1),(149,1),(205,1),(214,1),(276,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(62,1),(66,1)}
        42:{2,5,6,7}:{(23,1),(66,1),(78,1),(121,1),(124,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(63,1),(68,1),(128,1),(133,1),(212,1),(287,1),(307,1)}
        44:{2,4,5,7}:{(25,1),(68,1),(70,1),(73,1),(116,1),(124,1),(137,1),(193,1),(209,1),(213,1)}
        45:{2,3,4,6}:{(26,1),(28,1),(71,1),(72,1),(128,1),(146,1),(222,1)}
        46:{1,3,4,5}:{(26,1),(72,1),(73,1),(140,1),(229,1)}
        47:{2,3,5,7}:{(27,1),(28,1),(30,1),(71,1),(74,1),(125,1)}
        48:{1,4,5,7}:{(27,1),(29,1),(31,1),(74,1),(226,1),(230,1)}
        49:{1,3,5,6}:{(28,1),(29,1),(72,1),(74,1),(76,1)}
        50:{1,2,4,5,6}:{(29,1),(64,1),(75,1),(76,1),(77,1),(126,1),(138,1),(146,1),(151,1),(212,1),(229,1),(231,1),(280,1),(286,1),(287,1),(309,1),(310,1)}
        51:{1,3,6,7}:{(30,1),(31,1),(74,1),(78,1)}
        52:{1,2,4,6,7}:{(31,1),(32,1),(66,1),(75,1),(78,1),(79,1),(80,1),(149,1),(287,1),(309,1),(310,1)}
        53:{1,3,5,6,7}:{(32,1),(67,1),(79,1),(80,1),(150,1),(204,1),(208,1),(274,1),(282,1)}
        54:{2,3,4,5}:{(81,1),(82,1),(170,1),(236,1),(242,1)}
        55:{2,4,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1),(156,1),(239,1),(244,1)}
        56:{2,3,5,6}:{(34,1),(81,1),(83,1),(85,1),(93,1)}
        57:{1,4,5,6}:{(34,1),(84,1),(85,1),(241,1),(295,1)}
        58:{2,3,6,7}:{(35,1),(83,1),(87,1),(95,1)}
        59:{1,4,6,7}:{(35,1),(36,1),(84,1),(87,1)}
        60:{1,2,5,6,7}:{(36,1),(42,1),(88,1),(89,1),(110,1),(165,1),(244,1),(295,1),(300,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(40,1),(90,1),(173,1),(191,1),(244,1)}
        62:{1,4,5,7}:{(37,1),(39,1),(41,1),(90,1),(91,1),(247,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(43,1),(90,1),(92,1),(93,1),(263,1),(295,1)}
        64:{2,4,5,6}:{(39,1),(91,1),(92,1),(93,1),(169,1)}
        65:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(51,1),(87,1),(90,1),(94,1),(95,1),(101,1),(152,1),(167,1),(171,1),(190,1),(243,1),(247,1)}
        66:{2,4,6,7}:{(41,1),(42,1),(91,1),(95,1)}
        67:{2,3,5,6,7}:{(42,1),(53,1),(89,1),(95,1),(96,1),(111,1),(162,1),(166,1),(173,1),(191,1),(244,1),(246,1),(254,1),(300,1),(313,1)}
        68:{2,4,6}:{(43,1),(44,1),(92,1),(98,1)}
        69:{1,2,4,5,7}:{(44,1),(97,1),(99,1),(103,1),(154,1),(165,1),(178,1),(179,1),(232,1),(247,1),(251,1),(255,1),(261,1),(293,1),(297,1),(301,1),(311,1)}
        70:{2,3,5,7}:{(44,1),(98,1),(99,1),(100,1),(104,1),(155,1),(177,1),(180,1),(233,1)}
        71:{2,3,4,7}:{(45,1),(47,1),(101,1),(167,1),(186,1),(256,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(49,1),(101,1),(102,1),(181,1),(188,1)}
        73:{2,4,5}:{(46,1),(102,1),(104,1)}
        74:{1,3,5,7}:{(47,1),(48,1),(49,1),(51,1),(101,1),(105,1)}
        75:{1,2,4,5,7}:{(48,1),(50,1),(52,1),(91,1),(105,1),(106,1),(113,1),(165,1),(179,1),(186,1),(191,1),(247,1),(261,1),(297,1),(301,1)}
        76:{2,5,6}:{(49,1),(102,1),(105,1)}
        77:{1,3,5,6}:{(50,1),(93,1),(106,1),(108,1),(109,1),(181,1),(260,1),(299,1),(302,1),(313,1)}
        78:{2,6,7}:{(51,1),(105,1)}
        79:{1,3,6,7}:{(52,1),(95,1),(106,1),(111,1),(302,1),(313,1)}
        80:{1,4,6,7}:{(53,1),(96,1),(113,1),(247,1),(298,1)}
        81:{2,3,4,6}:{(54,1),(56,1),(114,1),(115,1),(128,1),(202,1),(266,1)}
        82:{1,3,4,5}:{(54,1),(115,1),(116,1),(196,1),(273,1)}
        83:{2,3,5,7}:{(55,1),(56,1),(58,1),(114,1),(117,1),(125,1)}
        84:{1,4,5,7}:{(55,1),(57,1),(59,1),(117,1),(270,1),(274,1)}
        85:{1,3,5,6}:{(56,1),(57,1),(115,1),(117,1),(119,1)}
        86:{1,2,4,5,6}:{(57,1),(64,1),(118,1),(119,1),(120,1),(126,1),(194,1),(202,1),(207,1),(212,1),(273,1),(275,1),(280,1),(306,1),(307,1),(309,1),(314,1)}
        87:{1,3,6,7}:{(58,1),(59,1),(117,1),(121,1)}
        88:{1,2,4,6,7}:{(59,1),(60,1),(66,1),(118,1),(121,1),(122,1),(123,1),(205,1),(307,1),(309,1),(314,1)}
        89:{1,3,5,6,7}:{(60,1),(67,1),(122,1),(123,1),(148,1),(206,1),(208,1),(230,1),(282,1)}
        90:{1,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(124,1),(125,1),(230,1),(274,1)}
        91:{2,4,5,7}:{(62,1),(64,1),(66,1),(124,1),(125,1),(209,1)}
        92:{2,5,6}:{(63,1),(68,1),(124,1)}
        93:{3,5,6}:{(64,1),(125,1),(128,1)}
        94:{2,4,6,7}:{(65,1),(68,1),(78,1),(121,1),(124,1),(130,1),(137,1),(193,1),(209,1)}
        95:{3,6,7}:{(66,1),(125,1)}
        96:{2,4,6,7}:{(67,1),(80,1),(123,1),(131,1),(132,1),(209,1),(276,1),(278,1),(309,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(126,1),(133,1),(212,1),(218,1),(287,1),(307,1),(309,1),(310,1),(314,1)}
        98:{2,3,6}:{(68,1),(70,1),(133,1)}
        99:{1,3,5,7}:{(69,1),(70,1),(133,1),(135,1),(136,1),(140,1),(196,1),(219,1),(220,1),(264,1),(308,1)}
       100:{2,3,4,7}:{(70,1),(134,1),(136,1),(141,1),(197,1),(209,1)}
       101:{1,3,4,7}:{(71,1),(72,1),(74,1),(137,1),(220,1),(226,1)}
       102:{2,4,6}:{(72,1),(73,1),(76,1),(137,1),(139,1)}
       103:{1,2,4,5}:{(73,1),(138,1),(140,1),(225,1),(229,1),(286,1)}
       104:{2,3,5}:{(73,1),(139,1),(140,1),(141,1)}
       105:{2,5,7}:{(74,1),(76,1),(78,1),(137,1)}
       106:{1,3,5,7}:{(75,1),(77,1),(79,1),(125,1),(143,1),(144,1),(220,1),(308,1)}
       107:{1,2,5,6}:{(76,1),(138,1),(142,1),(145,1),(286,1),(310,1)}
       108:{2,3,5,6}:{(76,1),(77,1),(139,1),(143,1),(145,1),(146,1),(222,1),(224,1),(231,1),(285,1),(286,1),(310,1)}
       109:{1,3,4,6}:{(77,1),(128,1),(144,1),(146,1),(147,1),(212,1),(279,1)}
       110:{1,2,6,7}:{(78,1),(142,1),(148,1),(310,1)}
       111:{2,3,6,7}:{(78,1),(79,1),(143,1),(148,1),(149,1),(285,1),(310,1)}
       112:{1,3,4,6,7}:{(79,1),(80,1),(131,1),(144,1),(149,1),(150,1),(228,1)}
       113:{1,4,5,7}:{(80,1),(132,1),(150,1),(151,1),(274,1)}
       114:{2,3,4,7}:{(81,1),(83,1),(152,1),(167,1),(239,1),(288,1)}
       115:{1,3,4,6}:{(81,1),(82,1),(85,1),(152,1),(153,1),(234,1),(241,1)}
       116:{2,4,5}:{(82,1),(153,1),(155,1)}
       117:{1,3,5,7}:{(83,1),(84,1),(85,1),(87,1),(152,1),(156,1)}
       118:{1,2,4,5,7}:{(84,1),(86,1),(88,1),(91,1),(156,1),(157,1),(164,1),(165,1),(232,1),(239,1),(244,1),(247,1),(293,1),(297,1),(311,1)}
       119:{2,5,6}:{(85,1),(153,1),(156,1)}
       120:{1,3,5,6}:{(86,1),(93,1),(157,1),(159,1),(160,1),(234,1),(292,1),(299,1),(312,1),(313,1)}
       121:{2,6,7}:{(87,1),(156,1)}
       122:{1,3,6,7}:{(88,1),(95,1),(157,1),(162,1),(312,1),(313,1)}
       123:{1,4,6,7}:{(89,1),(96,1),(164,1),(247,1),(298,1)}
       124:{2,5,7}:{(90,1),(92,1),(94,1)}
       125:{3,5,7}:{(91,1),(93,1),(95,1),(167,1)}
       126:{1,2,5,6}:{(92,1),(97,1),(165,1),(168,1),(255,1),(263,1),(295,1),(300,1)}
       127:{2,3,5,6}:{(92,1),(93,1),(98,1),(166,1),(168,1),(169,1),(177,1)}
       128:{3,4,6}:{(93,1),(167,1),(169,1),(170,1)}
       129:{1,2,4,6,7}:{(94,1),(97,1),(110,1),(161,1),(165,1),(171,1),(179,1),(190,1),(232,1),(243,1),(247,1),(252,1)}
       130:{2,3,6,7}:{(94,1),(95,1),(98,1),(166,1),(171,1),(180,1),(233,1)}
       131:{3,4,6,7}:{(95,1),(96,1),(167,1),(173,1),(249,1),(296,1),(313,1)}
       132:{2,4,5,7}:{(96,1),(113,1),(164,1),(173,1),(174,1),(191,1),(244,1)}
       133:{1,3,6}:{(97,1),(98,1),(99,1),(175,1),(313,1)}
       134:{2,3,4,6}:{(98,1),(100,1),(169,1),(176,1),(177,1)}
       135:{2,3,5,7}:{(99,1),(175,1),(178,1),(183,1),(236,1),(255,1),(256,1),(288,1),(301,1),(311,1)}
       136:{1,3,4,7}:{(99,1),(100,1),(176,1),(178,1),(184,1),(237,1),(247,1),(296,1)}
       137:{2,4,7}:{(101,1),(102,1),(105,1),(180,1)}
       138:{1,2,4,6}:{(102,1),(103,1),(107,1),(179,1),(181,1),(188,1),(259,1)}
       139:{2,3,6}:{(102,1),(104,1),(180,1),(181,1)}
       140:{1,3,5}:{(103,1),(104,1),(181,1),(183,1),(184,1)}
       141:{2,3,4}:{(104,1),(184,1)}
       142:{1,2,5,7}:{(105,1),(107,1),(110,1),(179,1),(185,1),(301,1)}
       143:{2,3,5,7}:{(105,1),(106,1),(108,1),(111,1),(180,1),(185,1),(186,1),(191,1),(256,1),(301,1)}
       144:{1,3,4,7}:{(106,1),(109,1),(167,1),(186,1),(247,1),(296,1)}
       145:{1,3,5,6}:{(107,1),(108,1),(181,1),(185,1),(188,1),(260,1),(263,1),(302,1)}
       146:{2,4,6}:{(108,1),(109,1),(186,1),(188,1),(189,1)}
       147:{1,3,4,5}:{(109,1),(170,1),(189,1),(251,1),(260,1),(299,1)}
       148:{1,3,6,7}:{(110,1),(111,1),(185,1),(190,1),(302,1)}
       149:{2,4,6,7}:{(111,1),(112,1),(186,1),(190,1),(191,1),(262,1)}
       150:{1,3,5,7}:{(112,1),(113,1),(173,1),(191,1),(192,1)}
       151:{1,4,5,6}:{(113,1),(174,1),(192,1),(295,1),(298,1)}
       152:{1,3,4,7}:{(114,1),(115,1),(117,1),(193,1),(264,1),(270,1)}
       153:{2,4,6}:{(115,1),(116,1),(119,1),(193,1),(195,1)}
       154:{1,2,4,5}:{(116,1),(194,1),(196,1),(269,1),(273,1),(306,1)}
       155:{2,3,5}:{(116,1),(195,1),(196,1),(197,1)}
       156:{2,5,7}:{(117,1),(119,1),(121,1),(193,1)}
       157:{1,3,5,7}:{(118,1),(120,1),(122,1),(125,1),(199,1),(200,1),(264,1),(308,1)}
       158:{1,2,5,6}:{(119,1),(194,1),(198,1),(201,1),(306,1),(314,1)}
       159:{2,3,5,6}:{(119,1),(120,1),(195,1),(199,1),(201,1),(202,1),(266,1),(268,1),(275,1),(305,1),(306,1),(314,1)}
       160:{1,3,4,6}:{(120,1),(128,1),(200,1),(202,1),(203,1),(212,1),(279,1)}
       161:{1,2,6,7}:{(121,1),(198,1),(204,1),(314,1)}
       162:{2,3,6,7}:{(121,1),(122,1),(199,1),(204,1),(205,1),(305,1),(314,1)}
       163:{1,3,4,6,7}:{(122,1),(123,1),(131,1),(200,1),(205,1),(206,1),(272,1)}
       164:{1,4,5,7}:{(123,1),(132,1),(206,1),(207,1),(230,1)}
       165:{1,2,5,7}:{(124,1),(126,1),(129,1),(208,1),(230,1),(274,1),(281,1)}
       166:{2,3,5,7}:{(124,1),(125,1),(127,1),(130,1),(208,1),(209,1)}
       167:{3,4,7}:{(125,1),(128,1),(209,1)}
       168:{1,3,5,6}:{(126,1),(127,1),(133,1),(208,1),(211,1),(212,1),(219,1)}
       169:{2,4,6}:{(127,1),(128,1),(209,1),(212,1),(213,1)}
       170:{3,4,5}:{(128,1),(213,1)}
       171:{1,3,6,7}:{(129,1),(130,1),(133,1),(208,1),(214,1),(220,1),(264,1)}
       172:{2,3,4,6,7}:{(130,1),(131,1),(134,1),(149,1),(205,1),(209,1),(215,1),(216,1),(221,1),(265,1),(278,1),(285,1),(305,1)}
       173:{3,5,7}:{(131,1),(132,1),(217,1)}
       174:{2,4,5,6}:{(132,1),(151,1),(207,1),(217,1),(231,1),(275,1),(278,1),(309,1)}
       175:{2,3,6}:{(133,1),(135,1),(218,1),(310,1),(314,1)}
       176:{1,3,4,6}:{(133,1),(134,1),(136,1),(212,1),(218,1),(219,1),(279,1)}
       177:{2,3,5}:{(134,1),(213,1),(219,1)}
       178:{2,4,7}:{(135,1),(136,1),(218,1),(225,1),(269,1)}
       179:{1,2,4,7}:{(137,1),(138,1),(142,1),(220,1),(226,1),(283,1)}
       180:{2,3,7}:{(137,1),(139,1),(220,1)}
       181:{1,3,6}:{(138,1),(139,1),(140,1),(220,1),(222,1)}
       182:{2,3,4,6}:{(139,1),(141,1),(146,1),(221,1),(223,1),(224,1),(279,1),(285,1)}
       183:{2,3,5}:{(140,1),(222,1),(225,1),(286,1)}
       184:{1,3,4}:{(140,1),(141,1),(225,1)}
       185:{1,3,5,7}:{(142,1),(143,1),(145,1),(148,1),(220,1),(226,1),(230,1)}
       186:{2,4,7}:{(143,1),(144,1),(146,1),(226,1)}
       187:{1,3,4,5,7}:{(144,1),(147,1),(150,1),(210,1),(227,1),(228,1),(277,1),(284,1),(308,1)}
       188:{1,4,6}:{(145,1),(146,1),(226,1),(229,1)}
       189:{2,4,5}:{(146,1),(147,1),(224,1),(229,1),(286,1)}
       190:{1,4,6,7}:{(148,1),(149,1),(226,1),(230,1),(287,1)}
       191:{2,5,7}:{(149,1),(150,1),(230,1),(231,1)}
       192:{1,3,5,6}:{(150,1),(151,1),(217,1),(228,1),(231,1)}
       193:{2,4,7}:{(152,1),(153,1),(156,1),(233,1)}
       194:{1,2,4,6}:{(153,1),(154,1),(158,1),(232,1),(234,1),(241,1),(291,1)}
       195:{2,3,6}:{(153,1),(155,1),(233,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(234,1),(236,1),(237,1)}
       197:{2,3,4}:{(155,1),(237,1)}
       198:{1,2,5,7}:{(156,1),(158,1),(161,1),(232,1),(238,1),(311,1)}
       199:{2,3,5,7}:{(156,1),(157,1),(159,1),(162,1),(233,1),(238,1),(239,1),(244,1),(288,1),(311,1)}
       200:{1,3,4,7}:{(157,1),(160,1),(167,1),(239,1),(247,1),(296,1)}
       201:{1,3,5,6}:{(158,1),(159,1),(234,1),(238,1),(241,1),(292,1),(295,1),(312,1)}
       202:{2,4,6}:{(159,1),(160,1),(239,1),(241,1),(242,1)}
       203:{1,3,4,5}:{(160,1),(170,1),(242,1),(251,1),(292,1),(299,1)}
       204:{1,3,6,7}:{(161,1),(162,1),(238,1),(243,1),(312,1)}
       205:{2,4,6,7}:{(162,1),(163,1),(239,1),(243,1),(244,1),(294,1)}
       206:{1,3,5,7}:{(163,1),(164,1),(173,1),(244,1),(245,1)}
       207:{1,4,5,6}:{(164,1),(174,1),(245,1),(263,1),(298,1)}
       208:{1,3,5,7}:{(165,1),(166,1),(168,1),(171,1),(246,1),(247,1)}
       209:{2,4,7}:{(166,1),(167,1),(169,1),(247,1)}
       210:{3,4,5,7}:{(167,1),(170,1),(173,1),(248,1),(249,1)}
       211:{2,3,5,6}:{(168,1),(175,1),(246,1),(250,1),(255,1),(299,1),(300,1),(313,1)}
       212:{1,4,6}:{(168,1),(169,1),(247,1),(250,1),(251,1)}
       213:{2,4,5}:{(169,1),(170,1),(177,1),(251,1)}
       214:{2,3,6,7}:{(171,1),(175,1),(246,1),(252,1),(256,1),(288,1),(313,1)}
       215:{1,3,4,6,7}:{(171,1),(172,1),(176,1),(190,1),(243,1),(247,1),(252,1),(253,1),(257,1),(289,1),(296,1),(298,1),(302,1),(312,1),(313,1)}
       216:{2,3,5,7}:{(172,1),(173,1),(177,1),(191,1),(244,1),(248,1),(253,1),(254,1)}
       217:{3,5,6}:{(173,1),(174,1),(249,1),(313,1)}
       218:{2,4,6}:{(175,1),(176,1),(178,1),(255,1)}
       219:{1,3,5}:{(176,1),(177,1),(251,1),(255,1),(299,1)}
       220:{1,3,7}:{(179,1),(180,1),(181,1),(256,1)}
       221:{2,3,4,7}:{(180,1),(182,1),(186,1),(257,1),(258,1),(296,1)}
       222:{2,3,6}:{(181,1),(183,1),(256,1),(259,1)}
       223:{1,3,4,6}:{(181,1),(182,1),(184,1),(188,1),(257,1),(259,1),(260,1),(302,1)}
       224:{2,3,5}:{(182,1),(189,1),(260,1),(299,1)}
       225:{2,4}:{(183,1),(184,1)}
       226:{1,4,7}:{(185,1),(186,1),(188,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(189,1),(191,1),(258,1),(261,1),(262,1),(301,1)}
       228:{1,3,4,6}:{(187,1),(192,1),(249,1),(262,1),(298,1),(302,1),(313,1)}
       229:{1,4,5}:{(188,1),(189,1),(260,1)}
       230:{1,5,7}:{(190,1),(191,1),(263,1)}
       231:{2,5,6}:{(191,1),(192,1),(262,1),(263,1)}
       232:{1,2,4,7}:{(193,1),(194,1),(198,1),(264,1),(270,1),(303,1)}
       233:{2,3,7}:{(193,1),(195,1),(264,1)}
       234:{1,3,6}:{(194,1),(195,1),(196,1),(264,1),(266,1)}
       235:{2,3,4,6}:{(195,1),(197,1),(202,1),(265,1),(267,1),(268,1),(279,1),(305,1)}
       236:{2,3,5}:{(196,1),(266,1),(269,1),(306,1)}
       237:{1,3,4}:{(196,1),(197,1),(269,1)}
       238:{1,3,5,7}:{(198,1),(199,1),(201,1),(204,1),(264,1),(270,1),(274,1)}
       239:{2,4,7}:{(199,1),(200,1),(202,1),(270,1)}
       240:{1,3,4,5,7}:{(200,1),(203,1),(206,1),(210,1),(271,1),(272,1),(277,1),(304,1),(308,1)}
       241:{1,4,6}:{(201,1),(202,1),(270,1),(273,1)}
       242:{2,4,5}:{(202,1),(203,1),(268,1),(273,1),(306,1)}
       243:{1,4,6,7}:{(204,1),(205,1),(270,1),(274,1),(307,1)}
       244:{2,5,7}:{(205,1),(206,1),(274,1),(275,1)}
       245:{1,3,5,6}:{(206,1),(207,1),(217,1),(272,1),(275,1)}
       246:{2,3,5,7}:{(208,1),(211,1),(214,1),(276,1),(281,1),(308,1)}
       247:{1,4,7}:{(208,1),(209,1),(212,1),(276,1)}
       248:{2,4,5,7}:{(209,1),(210,1),(213,1),(216,1),(277,1),(278,1)}
       249:{3,4,6}:{(210,1),(217,1),(278,1)}
       250:{2,4,6}:{(211,1),(212,1),(276,1),(279,1),(280,1)}
       251:{1,4,5}:{(212,1),(213,1),(219,1),(280,1)}
       252:{2,4,6,7}:{(214,1),(215,1),(218,1),(276,1),(281,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       253:{1,3,5,7}:{(215,1),(216,1),(219,1),(230,1),(274,1),(277,1),(281,1),(282,1),(308,1)}
       254:{2,3,5,6}:{(216,1),(217,1),(231,1),(275,1),(278,1),(282,1),(285,1),(305,1)}
       255:{2,5}:{(218,1),(219,1)}
       256:{2,3,7}:{(220,1),(222,1),(283,1)}
       257:{1,3,4,7}:{(220,1),(221,1),(223,1),(226,1),(283,1),(284,1)}
       258:{2,3,5,7}:{(221,1),(224,1),(227,1),(284,1),(285,1),(308,1)}
       259:{2,4,6}:{(222,1),(223,1),(225,1),(283,1),(286,1),(310,1)}
       260:{1,3,5}:{(223,1),(224,1),(229,1),(286,1)}
       261:{1,4,5,7}:{(226,1),(227,1),(229,1),(230,1),(284,1),(287,1)}
       262:{2,4,6}:{(227,1),(228,1),(231,1),(285,1),(287,1),(310,1)}
       263:{1,5,6}:{(230,1),(231,1),(287,1)}
       264:{1,3,7}:{(232,1),(233,1),(234,1),(288,1)}
       265:{2,3,4,7}:{(233,1),(235,1),(239,1),(289,1),(290,1),(296,1)}
       266:{2,3,6}:{(234,1),(236,1),(288,1),(291,1)}
       267:{1,3,4,6}:{(234,1),(235,1),(237,1),(241,1),(289,1),(291,1),(292,1),(312,1)}
       268:{2,3,5}:{(235,1),(242,1),(292,1),(299,1)}
       269:{2,4}:{(236,1),(237,1)}
       270:{1,4,7}:{(238,1),(239,1),(241,1)}
       271:{2,4,5,7}:{(239,1),(240,1),(242,1),(244,1),(290,1),(293,1),(294,1),(311,1)}
       272:{1,3,4,6}:{(240,1),(245,1),(249,1),(294,1),(298,1),(312,1),(313,1)}
       273:{1,4,5}:{(241,1),(242,1),(292,1)}
       274:{1,5,7}:{(243,1),(244,1),(295,1)}
       275:{2,5,6}:{(244,1),(245,1),(294,1),(295,1)}
       276:{2,4,7}:{(246,1),(247,1),(250,1),(296,1)}
       277:{1,4,5,7}:{(247,1),(248,1),(251,1),(253,1),(297,1),(298,1)}
       278:{2,4,6}:{(248,1),(249,1),(254,1),(298,1)}
       279:{3,4,6}:{(250,1),(296,1),(299,1),(313,1)}
       280:{2,4,5}:{(250,1),(251,1),(255,1),(299,1)}
       281:{2,5,7}:{(252,1),(253,1),(255,1),(300,1)}
       282:{1,3,5,6}:{(253,1),(254,1),(263,1),(295,1),(298,1),(300,1),(302,1),(312,1),(313,1)}
       283:{2,4,7}:{(256,1),(257,1),(259,1),(301,1)}
       284:{1,3,5,7}:{(257,1),(258,1),(260,1),(261,1),(301,1),(302,1)}
       285:{2,3,6}:{(258,1),(262,1),(302,1),(313,1)}
       286:{2,5}:{(259,1),(260,1)}
       287:{1,4,6}:{(261,1),(262,1),(263,1),(302,1)}
       288:{2,3,7}:{(264,1),(266,1),(303,1)}
       289:{1,3,4,7}:{(264,1),(265,1),(267,1),(270,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(265,1),(268,1),(271,1),(304,1),(305,1),(308,1)}
       291:{2,4,6}:{(266,1),(267,1),(269,1),(303,1),(306,1),(314,1)}
       292:{1,3,5}:{(267,1),(268,1),(273,1),(306,1)}
       293:{1,4,5,7}:{(270,1),(271,1),(273,1),(274,1),(304,1),(307,1)}
       294:{2,4,6}:{(271,1),(272,1),(275,1),(305,1),(307,1),(314,1)}
       295:{1,5,6}:{(274,1),(275,1),(307,1)}
       296:{3,4,7}:{(276,1),(279,1),(308,1)}
       297:{2,4,5,7}:{(276,1),(277,1),(280,1),(281,1),(308,1),(309,1)}
       298:{1,4,6}:{(277,1),(278,1),(282,1),(309,1)}
       299:{3,5}:{(279,1),(280,1)}
       300:{2,5,6}:{(281,1),(282,1),(309,1),(310,1),(314,1)}
       301:{2,5,7}:{(283,1),(284,1),(286,1),(310,1)}
       302:{1,3,6}:{(284,1),(285,1),(287,1),(310,1)}
       303:{2,4,7}:{(288,1),(289,1),(291,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(292,1),(293,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(294,1),(312,1),(313,1)}
       306:{2,5}:{(291,1),(292,1)}
       307:{1,4,6}:{(293,1),(294,1),(295,1),(312,1)}
       308:{3,5,7}:{(296,1),(297,1),(299,1),(313,1)}
       309:{2,4,6}:{(297,1),(298,1),(300,1),(313,1)}
       310:{2,6}:{(301,1),(302,1)}
       311:{2,5,7}:{(303,1),(304,1),(306,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(307,1),(314,1)}
       313:{3,6}:{(308,1),(309,1)}
       314:{2,6}:{(311,1),(312,1)}

1873 :   0:{1,2,3,6,7}:{(1,1),(2,1),(43,1),(95,1),(149,1),(240,1),(343,1),(454,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(111,1),(129,1),(192,1),(293,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(27,1),(122,1),(395,1),(407,1),(409,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(77,1),(98,1),(146,1),(174,1),(269,1),(503,1)}
         4:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(37,1),(43,1),(87,1),(240,1),(252,1),(342,1),(346,1),(355,1),(357,1)}
         5:{1,3,4,6,7}:{(1,1),(10,1),(12,1),(15,1),(40,1),(43,1),(79,1),(147,1),(236,1),(343,1),(344,1),(444,1)}
         6:{1,2,5,7}:{(1,1),(12,1),(13,1),(168,1),(346,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(15,1),(161,1),(444,1)}
         8:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(51,1),(69,1),(133,1),(188,1),(222,1)}
         9:{1,2,3,5,7}:{(3,1),(16,1),(18,1),(19,1),(52,1),(181,1),(320,1),(469,1),(471,1)}
        10:{2,3,4,6,7}:{(5,1),(17,1),(20,1),(28,1),(53,1),(55,1),(67,1),(109,1),(114,1),(129,1),(188,1),(300,1),(301,1),(404,1)}
        11:{1,2,4,6}:{(4,1),(7,1),(21,1),(22,1),(120,1),(305,1),(396,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(287,1),(398,1)}
        13:{1,2,5,6}:{(6,1),(23,1),(26,1),(128,1),(192,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(24,1),(26,1),(27,1),(65,1)}
        15:{1,3,4,7}:{(7,1),(22,1),(27,1),(28,1),(409,1)}
        16:{1,2,3,5,6}:{(9,1),(29,1),(31,1),(71,1),(77,1),(138,1),(174,1),(268,1),(272,1),(326,1),(426,1),(428,1)}
        17:{1,3,4,6,7}:{(8,1),(10,1),(30,1),(33,1),(45,1),(74,1),(77,1),(96,1),(170,1),(269,1),(270,1),(373,1)}
        18:{1,2,5,7}:{(8,1),(30,1),(31,1),(234,1),(272,1)}
        19:{1,2,4,7}:{(9,1),(29,1),(33,1),(227,1),(373,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(30,1),(34,1),(35,1),(152,1),(168,1),(234,1),(354,1)}
        21:{1,2,4,5}:{(11,1),(37,1),(85,1),(346,1),(445,1)}
        22:{1,3,4,6}:{(11,1),(15,1),(37,1),(38,1),(43,1),(357,1),(358,1)}
        23:{1,3,5,6}:{(12,1),(13,1),(34,1),(40,1),(43,1),(147,1),(235,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(40,1),(444,1),(445,1)}
        25:{1,2,5,6,7}:{(13,1),(39,1),(42,1),(168,1),(239,1),(266,1),(341,1),(350,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(40,1),(43,1),(93,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(37,1),(43,1),(44,1)}
        28:{2,3,4,7}:{(15,1),(38,1),(44,1),(45,1),(161,1),(364,1)}
        29:{1,2,4,6}:{(16,1),(19,1),(46,1),(47,1),(179,1),(321,1),(380,1)}
        30:{1,3,5,7}:{(17,1),(18,1),(20,1),(48,1),(49,1),(216,1),(323,1)}
        31:{1,2,5,6}:{(18,1),(48,1),(51,1),(133,1),(187,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(46,1),(49,1),(51,1),(52,1),(107,1)}
        33:{1,3,4,7}:{(19,1),(47,1),(52,1),(53,1),(471,1)}
        34:{2,3,5,6}:{(20,1),(23,1),(48,1),(55,1),(67,1),(109,1),(113,1),(128,1),(187,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(49,1),(55,1),(56,1),(404,1),(405,1)}
        36:{1,2,4,5,6}:{(21,1),(26,1),(58,1),(59,1),(62,1),(120,1),(128,1),(208,1),(288,1),(296,1),(302,1),(308,1),(396,1)}
        37:{1,3,5}:{(21,1),(22,1),(60,1)}
        38:{2,3,4,6}:{(22,1),(28,1),(60,1),(61,1),(67,1),(120,1),(310,1),(311,1)}
        39:{1,3,5,6,7}:{(23,1),(25,1),(54,1),(63,1),(66,1),(127,1),(191,1),(287,1),(395,1)}
        40:{1,4,6}:{(23,1),(24,1),(55,1)}
        41:{1,3,4,5,7}:{(24,1),(27,1),(56,1),(57,1),(64,1),(65,1),(119,1),(127,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(58,1),(63,1),(66,1),(129,1),(312,1),(400,1),(413,1)}
        43:{1,3,6}:{(26,1),(27,1),(67,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(60,1),(65,1),(67,1),(68,1)}
        45:{1,3,4,7}:{(28,1),(61,1),(68,1),(69,1),(209,1),(315,1)}
        46:{1,2,4,5}:{(29,1),(71,1),(136,1),(272,1),(374,1)}
        47:{1,3,4,6}:{(29,1),(33,1),(71,1),(72,1),(77,1),(428,1),(429,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(34,1),(74,1),(77,1),(96,1),(169,1)}
        49:{1,4,5,7}:{(30,1),(35,1),(74,1),(373,1),(374,1)}
        50:{1,2,5,6,7}:{(31,1),(73,1),(76,1),(173,1),(234,1),(267,1),(340,1),(350,1)}
        51:{1,2,4,6}:{(31,1),(32,1),(74,1),(77,1),(144,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(71,1),(77,1),(78,1)}
        53:{2,3,4,7}:{(33,1),(72,1),(78,1),(79,1),(227,1),(435,1)}
        54:{2,3,5,6,7}:{(34,1),(39,1),(73,1),(81,1),(95,1),(146,1),(152,1),(168,1),(234,1),(350,1),(351,1),(448,1)}
        55:{2,4,6}:{(34,1),(35,1),(40,1),(74,1),(82,1)}
        56:{3,4,5,7}:{(35,1),(82,1),(152,1),(449,1),(450,1)}
        57:{1,3,4,5}:{(37,1),(84,1),(85,1),(445,1),(450,1)}
        58:{1,2,4,5,7}:{(36,1),(42,1),(86,1),(90,1),(161,1),(168,1),(259,1),(341,1),(348,1),(356,1),(362,1),(444,1)}
        59:{1,3,5,6}:{(36,1),(37,1),(43,1),(84,1),(86,1),(87,1),(349,1),(357,1)}
        60:{2,3,5}:{(37,1),(38,1),(85,1),(88,1)}
        61:{1,3,4,6}:{(38,1),(45,1),(88,1),(89,1),(96,1),(162,1),(262,1),(263,1)}
        62:{1,4,5,6}:{(40,1),(80,1),(90,1),(91,1),(235,1)}
        63:{1,4,6,7}:{(39,1),(40,1),(81,1),(90,1),(444,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(43,1),(82,1),(91,1),(93,1)}
        65:{2,4,5,7}:{(41,1),(44,1),(85,1),(93,1),(94,1),(161,1),(168,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(86,1),(95,1),(448,1)}
        67:{2,3,6}:{(43,1),(44,1),(93,1),(96,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(88,1),(94,1),(96,1),(97,1)}
        69:{1,2,4,7}:{(45,1),(89,1),(97,1),(98,1)}
        70:{1,2,4,5,6}:{(46,1),(51,1),(100,1),(101,1),(104,1),(179,1),(187,1),(217,1),(279,1),(296,1),(321,1),(377,1),(383,1)}
        71:{1,3,5}:{(46,1),(47,1),(102,1)}
        72:{2,3,4,6}:{(47,1),(53,1),(102,1),(103,1),(109,1),(179,1),(385,1),(386,1)}
        73:{1,3,5,6,7}:{(48,1),(50,1),(54,1),(105,1),(108,1),(132,1),(186,1),(216,1),(320,1)}
        74:{1,4,6}:{(48,1),(49,1),(55,1)}
        75:{1,3,4,5,7}:{(49,1),(52,1),(56,1),(99,1),(106,1),(107,1),(178,1),(186,1)}
        76:{1,2,4,6,7}:{(50,1),(51,1),(100,1),(105,1),(108,1),(188,1),(387,1),(400,1),(475,1)}
        77:{1,3,6}:{(51,1),(52,1),(109,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(102,1),(107,1),(109,1),(110,1)}
        79:{1,3,4,7}:{(53,1),(103,1),(110,1),(111,1),(280,1),(390,1)}
        80:{2,4,5,6}:{(55,1),(62,1),(104,1),(112,1),(113,1),(128,1),(187,1)}
        81:{2,4,6,7}:{(54,1),(55,1),(63,1),(105,1),(112,1),(114,1),(404,1)}
        82:{3,4,6}:{(55,1),(56,1),(113,1)}
        83:{2,3,4,5,7}:{(56,1),(65,1),(107,1),(115,1),(116,1),(117,1),(176,1),(197,1),(201,1),(203,1),(274,1),(404,1),(405,1),(489,1),(498,1),(533,1)}
        84:{1,3,4,6}:{(57,1),(59,1),(119,1),(120,1),(396,1),(402,1)}
        85:{2,4,5}:{(57,1),(60,1),(120,1),(121,1)}
        86:{1,3,5,7}:{(58,1),(59,1),(66,1),(119,1),(122,1),(401,1),(409,1)}
        87:{2,3,5,6}:{(59,1),(60,1),(67,1),(120,1),(122,1),(123,1),(128,1),(308,1),(310,1)}
        88:{1,3,5}:{(60,1),(61,1),(121,1),(124,1)}
        89:{1,2,4,6}:{(61,1),(69,1),(124,1),(125,1),(133,1),(214,1)}
        90:{1,4,5,7}:{(62,1),(63,1),(112,1),(127,1),(287,1)}
        91:{1,3,5,6}:{(62,1),(64,1),(113,1),(127,1),(128,1)}
        92:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(114,1),(119,1),(127,1),(129,1)}
        93:{2,4,6}:{(64,1),(65,1),(67,1),(128,1),(130,1)}
        94:{1,4,5,7}:{(65,1),(68,1),(121,1),(130,1),(209,1),(216,1)}
        95:{2,3,6,7}:{(66,1),(67,1),(122,1),(129,1),(132,1),(413,1)}
        96:{1,3,6}:{(67,1),(68,1),(130,1),(133,1)}
        97:{1,2,5,7}:{(68,1),(69,1),(124,1),(133,1)}
        98:{1,2,3,7}:{(69,1),(125,1),(315,1)}
        99:{1,3,4,5}:{(71,1),(135,1),(136,1),(374,1),(450,1)}
       100:{1,2,4,5,7}:{(70,1),(76,1),(137,1),(141,1),(227,1),(234,1),(267,1),(333,1),(348,1),(373,1),(427,1),(433,1)}
       101:{1,3,5,6}:{(70,1),(71,1),(77,1),(135,1),(137,1),(138,1),(349,1),(428,1)}
       102:{2,3,5}:{(71,1),(72,1),(136,1),(139,1)}
       103:{1,3,4,6}:{(72,1),(79,1),(139,1),(140,1),(147,1),(228,1),(336,1),(337,1)}
       104:{1,4,5,6}:{(74,1),(80,1),(141,1),(142,1),(169,1)}
       105:{1,4,6,7}:{(73,1),(74,1),(81,1),(141,1),(373,1)}
       106:{1,3,4,6}:{(74,1),(75,1),(77,1),(82,1),(142,1),(144,1)}
       107:{2,4,5,7}:{(75,1),(78,1),(136,1),(144,1),(145,1),(227,1),(234,1)}
       108:{1,3,6,7}:{(76,1),(77,1),(137,1),(146,1),(448,1)}
       109:{2,3,6}:{(77,1),(78,1),(144,1),(147,1)}
       110:{1,3,5,7}:{(78,1),(79,1),(139,1),(145,1),(147,1),(148,1)}
       111:{1,2,4,7}:{(79,1),(140,1),(148,1),(149,1)}
       112:{2,4,5,7}:{(80,1),(81,1),(90,1),(141,1),(152,1),(168,1),(234,1)}
       113:{3,5,6}:{(80,1),(82,1),(152,1)}
       114:{3,4,6,7}:{(81,1),(82,1),(152,1),(448,1),(449,1)}
       115:{2,3,4,6}:{(82,1),(83,1),(93,1),(144,1),(153,1),(155,1),(249,1),(352,1),(519,1),(525,1),(546,1)}
       116:{1,3,4,5,7}:{(83,1),(94,1),(145,1),(155,1),(156,1),(158,1),(172,1),(224,1),(238,1),(246,1),(255,1),(329,1),(373,1),(374,1),(444,1),(445,1),(449,1),(450,1),(522,1),(543,1)}
       117:{2,3,4,5}:{(85,1),(157,1),(158,1),(257,1),(450,1),(462,1)}
       118:{1,3,4,5,6}:{(84,1),(91,1),(150,1),(159,1),(160,1),(244,1),(254,1),(349,1),(368,1),(526,1)}
       119:{1,3,4,7}:{(84,1),(86,1),(161,1),(444,1),(449,1)}
       120:{2,4,6}:{(84,1),(85,1),(87,1),(161,1),(162,1)}
       121:{1,4,5}:{(85,1),(88,1),(162,1)}
       122:{2,3,5,7}:{(86,1),(87,1),(95,1),(161,1),(164,1),(168,1),(362,1),(364,1)}
       123:{1,3,5,6}:{(87,1),(88,1),(96,1),(162,1),(164,1),(165,1),(169,1),(262,1)}
       124:{1,2,5}:{(88,1),(89,1)}
       125:{1,2,3,6}:{(89,1),(98,1),(166,1),(262,1)}
       126:{1,4,5,6,7}:{(90,1),(151,1),(167,1),(340,1),(347,1),(467,1)}
       127:{1,3,5,7}:{(90,1),(91,1),(92,1),(152,1),(168,1)}
       128:{2,5,6}:{(91,1),(93,1),(168,1),(169,1)}
       129:{2,4,6,7}:{(92,1),(93,1),(95,1),(161,1),(168,1),(170,1)}
       130:{1,4,6}:{(93,1),(94,1),(96,1),(169,1)}
       131:{1,2,4,5,7}:{(94,1),(97,1),(156,1),(163,1),(171,1),(172,1),(175,1),(261,1),(267,1),(272,1),(325,1),(373,1),(374,1),(427,1),(508,1),(543,1)}
       132:{1,3,6,7}:{(95,1),(96,1),(164,1),(170,1),(173,1)}
       133:{1,2,6}:{(96,1),(97,1)}
       134:{1,2,3,5,7}:{(97,1),(98,1),(166,1),(172,1),(174,1),(175,1),(272,1),(326,1),(430,1),(508,1)}
       135:{1,3,4,6}:{(99,1),(101,1),(178,1),(179,1),(321,1),(402,1)}
       136:{2,4,5}:{(99,1),(102,1),(179,1),(180,1)}
       137:{1,3,5,7}:{(100,1),(101,1),(108,1),(178,1),(181,1),(401,1),(471,1)}
       138:{2,3,5,6}:{(101,1),(102,1),(109,1),(179,1),(181,1),(182,1),(187,1),(383,1),(385,1)}
       139:{1,3,5}:{(102,1),(103,1),(180,1),(183,1)}
       140:{1,2,4,6}:{(103,1),(111,1),(183,1),(184,1),(192,1),(285,1)}
       141:{1,4,5,7}:{(104,1),(105,1),(112,1),(186,1),(216,1)}
       142:{1,3,5,6}:{(104,1),(106,1),(113,1),(186,1),(187,1)}
       143:{1,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(178,1),(186,1),(188,1)}
       144:{2,4,6}:{(106,1),(107,1),(109,1),(187,1),(189,1)}
       145:{1,4,5,7}:{(107,1),(110,1),(180,1),(189,1),(280,1),(287,1)}
       146:{2,3,6,7}:{(108,1),(109,1),(181,1),(188,1),(191,1),(475,1)}
       147:{1,3,6}:{(109,1),(110,1),(189,1),(192,1)}
       148:{1,2,5,7}:{(110,1),(111,1),(183,1),(192,1)}
       149:{1,2,3,7}:{(111,1),(184,1),(390,1)}
       150:{3,4,5,6}:{(113,1),(194,1),(195,1),(402,1),(538,1)}
       151:{2,4,5,6,7}:{(112,1),(126,1),(185,1),(196,1),(215,1),(286,1),(294,1),(400,1),(490,1)}
       152:{3,5,7}:{(112,1),(113,1),(114,1)}
       153:{2,3,5,6}:{(113,1),(115,1),(128,1),(187,1),(195,1),(197,1),(198,1),(538,1),(541,1),(551,1)}
       154:{2,3,4,6,7}:{(114,1),(115,1),(129,1),(188,1),(197,1),(199,1),(203,1),(274,1),(294,1),(300,1),(306,1),(381,1),(404,1),(488,1),(497,1),(532,1)}
       155:{1,3,4,6}:{(115,1),(116,1),(130,1),(189,1),(198,1),(200,1),(219,1),(290,1),(321,1),(396,1),(402,1),(540,1),(550,1)}
       156:{2,4,5,7}:{(116,1),(200,1),(201,1),(205,1),(276,1),(298,1),(309,1),(384,1),(404,1),(405,1)}
       157:{2,3,4,6}:{(117,1),(120,1),(202,1),(203,1),(204,1),(310,1),(402,1),(415,1)}
       158:{1,3,4,5}:{(117,1),(121,1),(204,1),(205,1),(211,1),(303,1),(494,1)}
       159:{1,3,4,5,7}:{(118,1),(119,1),(127,1),(194,1),(206,1),(207,1),(295,1),(307,1),(401,1),(419,1),(500,1)}
       160:{2,4,5,6}:{(118,1),(120,1),(128,1),(202,1),(207,1),(208,1),(308,1),(415,1),(541,1)}
       161:{2,4,7}:{(119,1),(120,1),(122,1),(209,1)}
       162:{1,4,6}:{(120,1),(121,1),(123,1),(209,1)}
       163:{1,2,4,5}:{(121,1),(124,1),(205,1),(210,1),(211,1),(214,1)}
       164:{1,3,5,7}:{(122,1),(123,1),(132,1),(209,1),(212,1),(216,1),(315,1)}
       165:{1,2,5,6}:{(123,1),(124,1),(133,1),(210,1),(212,1),(308,1)}
       166:{1,2,3,5}:{(124,1),(125,1),(211,1),(214,1)}
       167:{1,3,5,6,7}:{(126,1),(127,1),(196,1),(206,1),(215,1),(500,1)}
       168:{2,5,7}:{(127,1),(128,1),(129,1),(216,1)}
       169:{1,5,6}:{(128,1),(130,1),(216,1)}
       170:{1,4,6,7}:{(129,1),(130,1),(132,1),(209,1),(216,1)}
       171:{1,2,4,6}:{(130,1),(131,1),(133,1),(200,1),(217,1),(219,1),(321,1),(531,1),(550,1)}
       172:{1,3,5,7}:{(131,1),(201,1),(211,1),(219,1),(220,1),(315,1),(323,1),(378,1),(471,1)}
       173:{1,2,6,7}:{(132,1),(133,1),(212,1),(413,1)}
       174:{1,2,3,6}:{(133,1),(134,1),(219,1),(222,1),(531,1)}
       175:{1,2,4,7}:{(134,1),(214,1),(220,1),(222,1),(380,1)}
       176:{2,3,4,5}:{(136,1),(223,1),(224,1),(331,1),(450,1),(511,1)}
       177:{1,3,4,5,6}:{(135,1),(142,1),(150,1),(225,1),(226,1),(244,1),(328,1),(349,1),(439,1),(547,1)}
       178:{1,3,4,7}:{(135,1),(137,1),(227,1),(373,1),(449,1)}
       179:{2,4,6}:{(135,1),(136,1),(138,1),(227,1),(228,1)}
       180:{1,4,5}:{(136,1),(139,1),(228,1)}
       181:{2,3,5,7}:{(137,1),(138,1),(146,1),(227,1),(230,1),(234,1),(433,1),(435,1)}
       182:{1,3,5,6}:{(138,1),(139,1),(147,1),(228,1),(230,1),(231,1),(235,1),(336,1)}
       183:{1,2,5}:{(139,1),(140,1)}
       184:{1,2,3,6}:{(140,1),(149,1),(232,1),(336,1)}
       185:{1,4,5,6,7}:{(141,1),(151,1),(233,1),(266,1),(347,1),(516,1)}
       186:{1,3,5,7}:{(141,1),(142,1),(143,1),(152,1),(234,1)}
       187:{2,5,6}:{(142,1),(144,1),(234,1),(235,1)}
       188:{2,4,6,7}:{(143,1),(144,1),(146,1),(227,1),(234,1),(236,1)}
       189:{1,4,6}:{(144,1),(145,1),(147,1),(235,1)}
       190:{1,2,4,5,7}:{(145,1),(148,1),(156,1),(229,1),(237,1),(238,1),(241,1),(251,1),(335,1),(341,1),(346,1),(356,1),(444,1),(445,1),(459,1),(522,1)}
       191:{1,3,6,7}:{(146,1),(147,1),(230,1),(236,1),(239,1)}
       192:{1,2,6}:{(147,1),(148,1)}
       193:{1,2,3,5,7}:{(148,1),(149,1),(232,1),(238,1),(240,1),(241,1),(252,1),(346,1),(359,1),(459,1)}
       194:{3,4,5,7}:{(150,1),(152,1),(242,1),(243,1),(449,1),(518,1)}
       195:{2,4,5,6}:{(150,1),(153,1),(243,1),(244,1),(352,1)}
       196:{3,5,6,7}:{(151,1),(152,1),(242,1),(448,1),(518,1)}
       197:{2,3,5,7}:{(152,1),(153,1),(154,1),(168,1),(234,1),(243,1),(246,1),(518,1),(524,1),(545,1)}
       198:{1,3,5,6}:{(153,1),(155,1),(169,1),(235,1),(244,1),(246,1),(247,1),(349,1),(548,1),(552,1)}
       199:{1,3,4,6,7}:{(154,1),(155,1),(170,1),(236,1),(246,1),(248,1),(255,1),(269,1),(329,1),(343,1),(347,1),(361,1),(373,1),(432,1),(444,1),(448,1),(449,1),(521,1),(542,1)}
       200:{2,4,6}:{(155,1),(156,1),(247,1),(249,1)}
       201:{2,3,5,7}:{(156,1),(172,1),(238,1),(249,1),(250,1),(257,1),(331,1),(354,1),(364,1),(435,1)}
       202:{2,3,5,6}:{(157,1),(160,1),(253,1),(254,1),(349,1)}
       203:{2,3,4,7}:{(157,1),(161,1),(253,1),(255,1),(364,1),(449,1),(461,1)}
       204:{1,3,4,6}:{(157,1),(158,1),(162,1),(254,1),(255,1),(256,1),(262,1),(357,1),(456,1)}
       205:{2,4,5}:{(158,1),(256,1),(257,1)}
       206:{1,3,4,6,7}:{(159,1),(167,1),(242,1),(258,1),(347,1),(361,1),(448,1)}
       207:{2,4,5,7}:{(159,1),(160,1),(161,1),(168,1),(253,1),(258,1),(259,1),(362,1),(461,1),(524,1)}
       208:{1,4,5,6}:{(160,1),(162,1),(169,1),(254,1),(259,1),(456,1),(548,1)}
       209:{1,4,7}:{(161,1),(162,1),(164,1)}
       210:{1,2,4,6}:{(162,1),(163,1),(165,1),(256,1),(261,1),(262,1)}
       211:{1,3,5}:{(163,1),(257,1),(262,1),(263,1)}
       212:{1,2,5,7}:{(164,1),(165,1),(173,1),(261,1),(362,1)}
       213:{1,2,3,5,6}:{(165,1),(166,1),(174,1),(262,1),(264,1),(265,1),(268,1),(272,1),(363,1),(370,1),(376,1),(466,1)}
       214:{1,2,4}:{(166,1),(263,1)}
       215:{2,5,6,7}:{(167,1),(168,1),(258,1),(266,1),(524,1)}
       216:{1,5,7}:{(168,1),(169,1),(170,1)}
       217:{1,2,5,6}:{(169,1),(171,1),(247,1),(267,1),(268,1),(272,1),(552,1)}
       218:{1,2,4,6,7}:{(170,1),(171,1),(173,1),(248,1),(261,1),(267,1),(269,1),(373,1),(427,1),(503,1),(542,1)}
       219:{1,3,6}:{(171,1),(172,1),(249,1)}
       220:{1,3,4,7}:{(172,1),(175,1),(250,1),(263,1),(270,1),(373,1),(429,1)}
       221:{1,2,3,6,7}:{(173,1),(174,1),(264,1),(269,1),(271,1),(430,1),(460,1),(466,1)}
       222:{1,2,4,6}:{(174,1),(175,1),(270,1),(272,1)}
       223:{2,3,4,6}:{(176,1),(179,1),(273,1),(274,1),(275,1),(385,1),(402,1),(477,1)}
       224:{1,3,4,5}:{(176,1),(180,1),(275,1),(276,1),(282,1),(378,1),(529,1)}
       225:{1,3,4,5,7}:{(177,1),(178,1),(186,1),(194,1),(277,1),(278,1),(295,1),(382,1),(401,1),(481,1),(535,1)}
       226:{2,4,5,6}:{(177,1),(179,1),(187,1),(273,1),(278,1),(279,1),(383,1),(477,1),(551,1)}
       227:{2,4,7}:{(178,1),(179,1),(181,1),(280,1)}
       228:{1,4,6}:{(179,1),(180,1),(182,1),(280,1)}
       229:{1,2,4,5}:{(180,1),(183,1),(276,1),(281,1),(282,1),(285,1)}
       230:{1,3,5,7}:{(181,1),(182,1),(191,1),(280,1),(283,1),(287,1),(390,1)}
       231:{1,2,5,6}:{(182,1),(183,1),(192,1),(281,1),(283,1),(383,1)}
       232:{1,2,3,5}:{(183,1),(184,1),(282,1),(285,1)}
       233:{1,3,5,6,7}:{(185,1),(186,1),(196,1),(277,1),(286,1),(535,1)}
       234:{2,5,7}:{(186,1),(187,1),(188,1),(287,1)}
       235:{1,5,6}:{(187,1),(189,1),(287,1)}
       236:{1,4,6,7}:{(188,1),(189,1),(191,1),(280,1),(287,1)}
       237:{1,2,4,6}:{(189,1),(190,1),(192,1),(200,1),(288,1),(290,1),(396,1),(496,1),(540,1)}
       238:{1,3,5,7}:{(190,1),(201,1),(282,1),(290,1),(291,1),(303,1),(390,1),(398,1),(409,1)}
       239:{1,2,6,7}:{(191,1),(192,1),(283,1),(475,1)}
       240:{1,2,3,6}:{(192,1),(193,1),(290,1),(293,1),(496,1)}
       241:{1,2,4,7}:{(193,1),(285,1),(291,1),(293,1),(305,1)}
       242:{3,4,6,7}:{(194,1),(196,1),(294,1)}
       243:{2,4,5,7}:{(194,1),(195,1),(197,1),(294,1),(295,1),(404,1)}
       244:{1,4,5,6}:{(195,1),(198,1),(295,1),(296,1),(321,1),(396,1)}
       245:{2,3,5,6,7}:{(196,1),(197,1),(215,1),(286,1),(294,1),(297,1),(306,1),(381,1)}
       246:{1,3,5,7}:{(197,1),(198,1),(199,1),(216,1),(287,1),(295,1),(298,1),(401,1),(539,1),(549,1)}
       247:{2,5,6}:{(198,1),(200,1),(298,1)}
       248:{2,4,6,7}:{(199,1),(200,1),(298,1),(300,1),(309,1),(384,1),(404,1),(413,1),(475,1)}
       249:{2,3,6}:{(200,1),(201,1),(219,1),(290,1)}
       250:{2,3,4,7}:{(201,1),(220,1),(291,1),(301,1),(311,1),(386,1),(404,1)}
       251:{1,2,4,5}:{(205,1),(302,1),(303,1),(305,1),(412,1),(494,1)}
       252:{1,2,3,5}:{(303,1),(304,1),(305,1),(412,1)}
       253:{2,3,5,7}:{(202,1),(203,1),(207,1),(306,1),(307,1),(401,1)}
       254:{1,3,5,6}:{(202,1),(204,1),(208,1),(307,1),(308,1)}
       255:{1,3,4,7}:{(203,1),(204,1),(209,1),(307,1),(309,1),(315,1),(409,1),(493,1)}
       256:{2,4,6}:{(204,1),(205,1),(308,1),(309,1),(310,1)}
       257:{2,3,5}:{(205,1),(211,1),(303,1),(310,1),(311,1)}
       258:{2,4,6,7}:{(206,1),(207,1),(215,1),(306,1),(312,1),(413,1)}
       259:{1,4,5,7}:{(207,1),(208,1),(209,1),(216,1),(307,1),(312,1),(493,1),(539,1)}
       260:{1,2,4,5,6}:{(208,1),(210,1),(217,1),(296,1),(308,1),(313,1),(314,1),(318,1),(321,1),(415,1),(422,1),(502,1),(541,1)}
       261:{1,2,4,7}:{(209,1),(210,1),(212,1),(309,1),(315,1)}
       262:{1,3,6}:{(210,1),(211,1),(310,1),(315,1)}
       263:{1,3,4}:{(211,1),(214,1),(311,1)}
       264:{1,2,3,5,7}:{(212,1),(213,1),(221,1),(315,1),(317,1),(320,1),(324,1),(414,1),(421,1)}
       265:{1,2,4,6}:{(213,1),(214,1),(316,1),(317,1),(318,1),(321,1),(415,1)}
       266:{1,5,6,7}:{(215,1),(216,1),(312,1),(539,1)}
       267:{1,2,5,7}:{(216,1),(217,1),(218,1),(298,1),(320,1),(549,1)}
       268:{1,3,5,6}:{(217,1),(219,1),(299,1),(320,1),(321,1),(323,1)}
       269:{1,3,6,7}:{(218,1),(219,1),(300,1),(315,1),(320,1),(471,1)}
       270:{1,3,4,6}:{(219,1),(220,1),(222,1),(301,1),(321,1),(323,1)}
       271:{1,2,4,6,7}:{(221,1),(222,1),(317,1),(322,1),(324,1),(422,1),(473,1),(497,1),(531,1)}
       272:{1,2,5}:{(222,1),(323,1)}
       273:{2,3,5,6}:{(223,1),(226,1),(327,1),(328,1),(349,1)}
       274:{2,3,4,7}:{(223,1),(227,1),(327,1),(329,1),(435,1),(449,1),(510,1)}
       275:{1,3,4,6}:{(223,1),(224,1),(228,1),(328,1),(329,1),(330,1),(336,1),(428,1),(505,1)}
       276:{2,4,5}:{(224,1),(330,1),(331,1)}
       277:{1,3,4,6,7}:{(225,1),(233,1),(242,1),(332,1),(347,1),(432,1),(448,1)}
       278:{2,4,5,7}:{(225,1),(226,1),(227,1),(234,1),(327,1),(332,1),(333,1),(433,1),(510,1),(545,1)}
       279:{1,4,5,6}:{(226,1),(228,1),(235,1),(328,1),(333,1),(505,1),(552,1)}
       280:{1,4,7}:{(227,1),(228,1),(230,1)}
       281:{1,2,4,6}:{(228,1),(229,1),(231,1),(330,1),(335,1),(336,1)}
       282:{1,3,5}:{(229,1),(331,1),(336,1),(337,1)}
       283:{1,2,5,7}:{(230,1),(231,1),(239,1),(335,1),(433,1)}
       284:{1,2,3,5,6}:{(231,1),(232,1),(240,1),(336,1),(338,1),(339,1),(342,1),(346,1),(434,1),(441,1),(447,1),(515,1)}
       285:{1,2,4}:{(232,1),(337,1)}
       286:{2,5,6,7}:{(233,1),(234,1),(332,1),(340,1),(545,1)}
       287:{1,5,7}:{(234,1),(235,1),(236,1)}
       288:{1,2,5,6}:{(235,1),(237,1),(247,1),(341,1),(342,1),(346,1),(548,1)}
       289:{1,2,4,6,7}:{(236,1),(237,1),(239,1),(248,1),(335,1),(341,1),(343,1),(356,1),(444,1),(454,1),(521,1)}
       290:{1,3,6}:{(237,1),(238,1),(249,1)}
       291:{1,3,4,7}:{(238,1),(241,1),(250,1),(337,1),(344,1),(358,1),(444,1)}
       292:{1,2,3,6,7}:{(239,1),(240,1),(338,1),(343,1),(345,1),(359,1),(509,1),(515,1)}
       293:{1,2,4,6}:{(240,1),(241,1),(344,1),(346,1)}
       294:{2,4,6,7}:{(242,1),(243,1),(245,1),(347,1)}
       295:{1,4,5,7}:{(243,1),(244,1),(246,1),(347,1),(348,1),(373,1),(444,1)}
       296:{2,4,5,6}:{(244,1),(247,1),(348,1),(349,1),(352,1)}
       297:{1,3,5,6,7}:{(245,1),(246,1),(266,1),(340,1),(347,1),(350,1),(361,1),(432,1),(448,1)}
       298:{2,5,7}:{(246,1),(247,1),(248,1)}
       299:{2,3,5,6}:{(247,1),(249,1),(268,1),(342,1),(349,1),(351,1),(352,1),(354,1)}
       300:{2,3,6,7}:{(248,1),(249,1),(269,1),(343,1),(351,1),(364,1),(435,1),(448,1)}
       301:{2,3,4,6}:{(249,1),(250,1),(270,1),(344,1),(352,1),(354,1)}
       302:{1,2,4,6}:{(251,1),(256,1),(355,1),(356,1),(357,1),(456,1)}
       303:{1,3,5}:{(251,1),(257,1),(357,1),(358,1)}
       304:{1,2,3,6}:{(252,1),(357,1),(359,1),(360,1)}
       305:{1,2,4}:{(252,1),(358,1)}
       306:{2,3,6,7}:{(253,1),(258,1),(361,1),(448,1)}
       307:{1,3,5,7}:{(253,1),(254,1),(255,1),(259,1),(361,1),(362,1)}
       308:{2,5,6}:{(254,1),(256,1),(362,1)}
       309:{2,4,7}:{(255,1),(256,1),(362,1),(364,1)}
       310:{2,3,6}:{(256,1),(257,1),(262,1),(357,1),(364,1)}
       311:{2,3,4}:{(257,1),(263,1),(358,1)}
       312:{1,4,6,7}:{(258,1),(259,1),(266,1),(361,1)}
       313:{1,2,4,5,7}:{(259,1),(260,1),(261,1),(267,1),(348,1),(362,1),(366,1),(367,1),(373,1),(461,1),(467,1),(524,1)}
       314:{1,3,5,6}:{(260,1),(262,1),(349,1),(363,1),(367,1),(368,1),(370,1),(466,1)}
       315:{1,3,7}:{(261,1),(262,1),(364,1)}
       316:{1,3,4,6}:{(262,1),(263,1),(265,1),(365,1),(369,1),(370,1),(466,1)}
       317:{1,2,4,7}:{(264,1),(265,1),(369,1),(373,1),(461,1)}
       318:{1,2,4,5}:{(265,1),(272,1),(370,1),(374,1),(462,1)}
       319:{1,2,5,6,7}:{(266,1),(267,1),(350,1),(366,1),(372,1),(376,1),(503,1),(524,1)}
       320:{1,3,5,7}:{(267,1),(268,1),(269,1),(351,1),(373,1)}
       321:{1,4,6}:{(268,1),(352,1),(373,1),(374,1)}
       322:{1,3,4,6,7}:{(269,1),(270,1),(271,1),(353,1),(369,1),(373,1),(375,1),(466,1),(468,1),(506,1),(542,1),(544,1)}
       323:{1,3,5}:{(270,1),(272,1),(354,1),(374,1)}
       324:{1,2,5,7}:{(271,1),(272,1),(375,1),(376,1),(524,1)}
       325:{1,2,4,5}:{(276,1),(377,1),(378,1),(380,1),(474,1),(529,1)}
       326:{1,2,3,5}:{(378,1),(379,1),(380,1),(474,1)}
       327:{2,3,5,7}:{(273,1),(274,1),(278,1),(381,1),(382,1),(401,1)}
       328:{1,3,5,6}:{(273,1),(275,1),(279,1),(382,1),(383,1)}
       329:{1,3,4,7}:{(274,1),(275,1),(280,1),(382,1),(384,1),(390,1),(471,1),(528,1)}
       330:{2,4,6}:{(275,1),(276,1),(383,1),(384,1),(385,1)}
       331:{2,3,5}:{(276,1),(282,1),(378,1),(385,1),(386,1)}
       332:{2,4,6,7}:{(277,1),(278,1),(286,1),(381,1),(387,1),(475,1)}
       333:{1,4,5,7}:{(278,1),(279,1),(280,1),(287,1),(382,1),(387,1),(528,1),(549,1)}
       334:{1,2,4,5,6}:{(279,1),(281,1),(288,1),(296,1),(383,1),(388,1),(389,1),(393,1),(396,1),(477,1),(484,1),(537,1),(551,1)}
       335:{1,2,4,7}:{(280,1),(281,1),(283,1),(384,1),(390,1)}
       336:{1,3,6}:{(281,1),(282,1),(385,1),(390,1)}
       337:{1,3,4}:{(282,1),(285,1),(386,1)}
       338:{1,2,3,5,7}:{(283,1),(284,1),(292,1),(390,1),(392,1),(395,1),(399,1),(476,1),(483,1)}
       339:{1,2,4,6}:{(284,1),(285,1),(391,1),(392,1),(393,1),(396,1),(477,1)}
       340:{1,5,6,7}:{(286,1),(287,1),(387,1),(549,1)}
       341:{1,2,5,7}:{(287,1),(288,1),(289,1),(298,1),(395,1),(539,1)}
       342:{1,3,5,6}:{(288,1),(290,1),(299,1),(395,1),(396,1),(398,1)}
       343:{1,3,6,7}:{(289,1),(290,1),(300,1),(390,1),(395,1),(409,1)}
       344:{1,3,4,6}:{(290,1),(291,1),(293,1),(301,1),(396,1),(398,1)}
       345:{1,2,4,6,7}:{(292,1),(293,1),(392,1),(397,1),(399,1),(411,1),(484,1),(496,1),(532,1)}
       346:{1,2,5}:{(293,1),(398,1)}
       347:{1,4,6,7}:{(294,1),(295,1),(297,1),(400,1)}
       348:{2,4,5,7}:{(295,1),(296,1),(298,1),(400,1),(401,1),(404,1)}
       349:{3,5,6}:{(296,1),(401,1),(402,1)}
       350:{2,5,6,7}:{(297,1),(298,1),(400,1),(413,1),(475,1)}
       351:{2,3,5,7}:{(298,1),(299,1),(300,1),(320,1),(395,1),(401,1),(404,1)}
       352:{2,4,6}:{(299,1),(321,1),(396,1),(402,1),(404,1),(405,1)}
       353:{2,3,4,6,7}:{(300,1),(301,1),(322,1),(397,1),(404,1),(406,1),(416,1),(478,1),(488,1),(491,1),(497,1),(499,1),(532,1),(534,1)}
       354:{2,3,5}:{(301,1),(323,1),(398,1),(405,1)}
       355:{1,2,5,6}:{(302,1),(308,1),(407,1),(408,1),(412,1),(496,1)}
       356:{1,2,4,7}:{(302,1),(309,1),(407,1),(409,1),(493,1)}
       357:{1,3,6}:{(302,1),(303,1),(310,1),(409,1)}
       358:{1,3,4}:{(303,1),(305,1),(311,1)}
       359:{1,2,3,7}:{(304,1),(409,1),(411,1)}
       360:{1,2,4,6}:{(304,1),(305,1),(410,1),(411,1),(412,1),(496,1)}
       361:{1,3,6,7}:{(306,1),(307,1),(312,1),(413,1)}
       362:{2,5,7}:{(307,1),(308,1),(309,1),(413,1)}
       363:{2,3,5,6}:{(308,1),(310,1),(314,1),(408,1),(414,1),(415,1),(417,1),(499,1),(541,1)}
       364:{2,3,7}:{(309,1),(310,1),(315,1),(409,1)}
       365:{2,3,4,6}:{(310,1),(311,1),(316,1),(410,1),(415,1),(416,1),(417,1),(499,1)}
       366:{1,2,4,6,7}:{(312,1),(313,1),(319,1),(400,1),(413,1),(418,1),(422,1),(423,1),(497,1)}
       367:{1,3,5,7}:{(313,1),(314,1),(315,1),(401,1),(414,1),(418,1),(419,1)}
       368:{1,3,4,6}:{(314,1),(321,1),(402,1),(415,1),(419,1),(420,1)}
       369:{1,3,4,7}:{(315,1),(316,1),(317,1),(416,1),(421,1)}
       370:{1,3,5}:{(316,1),(318,1),(417,1)}
       371:{1,2,4,5,7}:{(317,1),(318,1),(324,1),(421,1),(422,1),(424,1),(498,1)}
       372:{1,3,5,6,7}:{(319,1),(320,1),(403,1),(418,1),(423,1),(425,1),(500,1),(527,1),(549,1)}
       373:{1,4,7}:{(320,1),(321,1),(404,1)}
       374:{1,4,5}:{(321,1),(323,1),(405,1)}
       375:{1,3,5,7}:{(322,1),(323,1),(324,1),(406,1),(424,1),(425,1),(549,1)}
       376:{1,2,5,6}:{(324,1),(422,1),(425,1),(531,1),(541,1)}
       377:{1,2,4,6}:{(325,1),(330,1),(426,1),(427,1),(428,1),(505,1)}
       378:{1,3,5}:{(325,1),(331,1),(428,1),(429,1)}
       379:{1,2,3,6}:{(326,1),(428,1),(430,1),(431,1)}
       380:{1,2,4}:{(326,1),(429,1)}
       381:{2,3,6,7}:{(327,1),(332,1),(432,1),(448,1)}
       382:{1,3,5,7}:{(327,1),(328,1),(329,1),(333,1),(432,1),(433,1)}
       383:{2,5,6}:{(328,1),(330,1),(433,1)}
       384:{2,4,7}:{(329,1),(330,1),(433,1),(435,1)}
       385:{2,3,6}:{(330,1),(331,1),(336,1),(428,1),(435,1)}
       386:{2,3,4}:{(331,1),(337,1),(429,1)}
       387:{1,4,6,7}:{(332,1),(333,1),(340,1),(432,1)}
       388:{1,2,4,5,7}:{(333,1),(334,1),(335,1),(341,1),(348,1),(433,1),(437,1),(438,1),(444,1),(510,1),(516,1),(545,1)}
       389:{1,3,5,6}:{(334,1),(336,1),(349,1),(434,1),(438,1),(439,1),(441,1),(515,1)}
       390:{1,3,7}:{(335,1),(336,1),(435,1)}
       391:{1,3,4,6}:{(336,1),(337,1),(339,1),(436,1),(440,1),(441,1),(515,1)}
       392:{1,2,4,7}:{(338,1),(339,1),(440,1),(444,1),(510,1)}
       393:{1,2,4,5}:{(339,1),(346,1),(441,1),(445,1),(511,1)}
       394:{1,2,5,6,7}:{(340,1),(341,1),(350,1),(437,1),(443,1),(447,1),(454,1),(545,1)}
       395:{1,3,5,7}:{(341,1),(342,1),(343,1),(351,1),(444,1)}
       396:{1,4,6}:{(342,1),(352,1),(444,1),(445,1)}
       397:{1,3,4,6,7}:{(343,1),(344,1),(345,1),(353,1),(440,1),(444,1),(446,1),(457,1),(515,1),(517,1),(521,1),(523,1)}
       398:{1,3,5}:{(344,1),(346,1),(354,1),(445,1)}
       399:{1,2,5,7}:{(345,1),(346,1),(446,1),(447,1),(545,1)}
       400:{2,4,6,7}:{(347,1),(348,1),(350,1),(448,1)}
       401:{3,5,7}:{(348,1),(349,1),(448,1),(449,1)}
       402:{3,4,6}:{(349,1),(352,1),(449,1),(450,1)}
       403:{2,3,5,6,7}:{(350,1),(351,1),(372,1),(443,1),(448,1),(451,1),(453,1),(460,1),(509,1),(518,1),(524,1),(545,1)}
       404:{2,4,7}:{(351,1),(352,1),(373,1),(444,1),(449,1)}
       405:{2,4,5}:{(352,1),(354,1),(374,1),(445,1),(450,1)}
       406:{2,3,5,7}:{(353,1),(354,1),(375,1),(446,1),(452,1),(453,1),(518,1),(524,1),(545,1)}
       407:{1,2,5,7}:{(355,1),(356,1),(362,1),(454,1),(455,1)}
       408:{1,3,5,6}:{(355,1),(357,1),(363,1),(455,1),(456,1),(458,1),(523,1),(548,1)}
       409:{1,3,7}:{(356,1),(357,1),(364,1)}
       410:{1,3,4,6}:{(357,1),(358,1),(360,1),(365,1),(456,1),(457,1),(458,1),(523,1)}
       411:{1,2,4,7}:{(359,1),(360,1),(457,1),(459,1)}
       412:{1,2,5}:{(360,1),(458,1)}
       413:{2,6,7}:{(361,1),(362,1)}
       414:{2,3,5,7}:{(362,1),(363,1),(364,1),(367,1),(455,1),(460,1),(461,1),(524,1)}
       415:{2,4,6}:{(363,1),(368,1),(456,1),(461,1),(462,1)}
       416:{2,3,4,7}:{(364,1),(365,1),(369,1),(457,1),(461,1),(463,1)}
       417:{2,3,5}:{(365,1),(370,1),(458,1),(462,1)}
       418:{1,3,6,7}:{(366,1),(367,1),(448,1),(460,1),(466,1)}
       419:{1,3,4,7}:{(367,1),(368,1),(373,1),(449,1),(461,1)}
       420:{1,3,4,5}:{(368,1),(370,1),(374,1),(450,1),(462,1)}
       421:{1,3,5,7}:{(369,1),(370,1),(371,1),(463,1),(466,1)}
       422:{1,2,4,6}:{(371,1),(376,1),(466,1),(468,1),(525,1)}
       423:{1,4,6,7}:{(372,1),(373,1),(451,1),(467,1),(468,1)}
       424:{1,4,5,7}:{(373,1),(374,1),(375,1),(452,1),(468,1)}
       425:{1,3,5,6}:{(375,1),(376,1),(453,1),(466,1),(468,1),(544,1),(552,1)}
       426:{1,2,5,6}:{(377,1),(383,1),(469,1),(470,1),(474,1),(531,1)}
       427:{1,2,4,7}:{(377,1),(384,1),(469,1),(471,1),(528,1)}
       428:{1,3,6}:{(377,1),(378,1),(385,1),(471,1)}
       429:{1,3,4}:{(378,1),(380,1),(386,1)}
       430:{1,2,3,7}:{(379,1),(471,1),(473,1)}
       431:{1,2,4,6}:{(379,1),(380,1),(472,1),(473,1),(474,1),(531,1)}
       432:{1,3,6,7}:{(381,1),(382,1),(387,1),(475,1)}
       433:{2,5,7}:{(382,1),(383,1),(384,1),(475,1)}
       434:{2,3,5,6}:{(383,1),(385,1),(389,1),(470,1),(476,1),(477,1),(479,1),(534,1),(551,1)}
       435:{2,3,7}:{(384,1),(385,1),(390,1),(471,1)}
       436:{2,3,4,6}:{(385,1),(386,1),(391,1),(472,1),(477,1),(478,1),(479,1),(534,1)}
       437:{1,2,4,6,7}:{(387,1),(388,1),(394,1),(400,1),(475,1),(480,1),(484,1),(485,1),(532,1)}
       438:{1,3,5,7}:{(388,1),(389,1),(390,1),(401,1),(476,1),(480,1),(481,1)}
       439:{1,3,4,6}:{(389,1),(396,1),(402,1),(477,1),(481,1),(482,1)}
       440:{1,3,4,7}:{(390,1),(391,1),(392,1),(478,1),(483,1)}
       441:{1,3,5}:{(391,1),(393,1),(479,1)}
       442:{1,2,4,5,7}:{(392,1),(393,1),(399,1),(483,1),(484,1),(486,1),(533,1)}
       443:{1,3,5,6,7}:{(394,1),(395,1),(403,1),(480,1),(485,1),(487,1),(492,1),(535,1),(539,1)}
       444:{1,4,7}:{(395,1),(396,1),(404,1)}
       445:{1,4,5}:{(396,1),(398,1),(405,1)}
       446:{1,3,5,7}:{(397,1),(398,1),(399,1),(406,1),(486,1),(487,1),(539,1)}
       447:{1,2,5,6}:{(399,1),(484,1),(487,1),(496,1),(551,1)}
       448:{3,6,7}:{(400,1),(401,1)}
       449:{3,4,7}:{(401,1),(402,1),(404,1)}
       450:{3,4,5}:{(402,1),(405,1)}
       451:{2,4,6,7}:{(403,1),(404,1),(423,1),(485,1),(488,1),(490,1),(491,1)}
       452:{2,4,5,7}:{(404,1),(405,1),(406,1),(424,1),(486,1),(489,1),(491,1)}
       453:{2,3,5,6}:{(406,1),(425,1),(487,1),(491,1),(499,1),(534,1),(538,1),(541,1),(551,1)}
       454:{1,2,6,7}:{(407,1),(413,1),(492,1),(496,1)}
       455:{1,3,5,7}:{(407,1),(408,1),(409,1),(414,1),(492,1),(493,1),(539,1)}
       456:{1,4,6}:{(408,1),(415,1),(493,1),(494,1)}
       457:{1,3,4,7}:{(409,1),(410,1),(411,1),(416,1),(493,1),(495,1)}
       458:{1,3,5}:{(410,1),(412,1),(417,1),(494,1)}
       459:{1,2,5,7}:{(411,1),(412,1),(495,1),(496,1)}
       460:{2,3,6,7}:{(413,1),(414,1),(418,1),(492,1),(497,1),(499,1)}
       461:{2,4,7}:{(414,1),(415,1),(419,1),(493,1)}
       462:{2,4,5}:{(415,1),(417,1),(420,1),(494,1)}
       463:{2,3,5,7}:{(416,1),(417,1),(421,1),(495,1),(498,1),(499,1)}
       464:{1,3,4,6,7}:{(418,1),(419,1),(423,1),(488,1),(497,1),(500,1),(501,1)}
       465:{1,3,4,5,7}:{(419,1),(420,1),(421,1),(424,1),(489,1),(498,1),(500,1),(501,1)}
       466:{1,3,6}:{(421,1),(422,1),(499,1)}
       467:{1,4,5,7}:{(423,1),(490,1),(500,1),(502,1),(549,1)}
       468:{1,4,6}:{(424,1),(425,1),(491,1)}
       469:{1,2,5,7}:{(426,1),(427,1),(433,1),(503,1),(504,1)}
       470:{1,3,5,6}:{(426,1),(428,1),(434,1),(504,1),(505,1),(507,1),(544,1),(552,1)}
       471:{1,3,7}:{(427,1),(428,1),(435,1)}
       472:{1,3,4,6}:{(428,1),(429,1),(431,1),(436,1),(505,1),(506,1),(507,1),(544,1)}
       473:{1,2,4,7}:{(430,1),(431,1),(506,1),(508,1)}
       474:{1,2,5}:{(431,1),(507,1)}
       475:{2,6,7}:{(432,1),(433,1)}
       476:{2,3,5,7}:{(433,1),(434,1),(435,1),(438,1),(504,1),(509,1),(510,1),(545,1)}
       477:{2,4,6}:{(434,1),(439,1),(505,1),(510,1),(511,1)}
       478:{2,3,4,7}:{(435,1),(436,1),(440,1),(506,1),(510,1),(512,1)}
       479:{2,3,5}:{(436,1),(441,1),(507,1),(511,1)}
       480:{1,3,6,7}:{(437,1),(438,1),(448,1),(509,1),(515,1)}
       481:{1,3,4,7}:{(438,1),(439,1),(444,1),(449,1),(510,1)}
       482:{1,3,4,5}:{(439,1),(441,1),(445,1),(450,1),(511,1)}
       483:{1,3,5,7}:{(440,1),(441,1),(442,1),(512,1),(515,1)}
       484:{1,2,4,6}:{(442,1),(447,1),(515,1),(517,1),(546,1)}
       485:{1,4,6,7}:{(443,1),(444,1),(451,1),(516,1),(517,1)}
       486:{1,4,5,7}:{(444,1),(445,1),(446,1),(452,1),(517,1)}
       487:{1,3,5,6}:{(446,1),(447,1),(453,1),(515,1),(517,1),(523,1),(548,1)}
       488:{3,4,6,7}:{(448,1),(449,1),(451,1),(518,1),(519,1)}
       489:{3,4,5,7}:{(449,1),(450,1),(452,1),(518,1),(519,1)}
       490:{2,4,5,7}:{(451,1),(467,1),(516,1),(518,1),(520,1),(524,1),(545,1)}
       491:{2,4,6}:{(452,1),(453,1),(468,1),(517,1),(519,1)}
       492:{1,3,6,7}:{(454,1),(455,1),(460,1),(521,1),(523,1)}
       493:{1,4,7}:{(455,1),(456,1),(461,1)}
       494:{1,4,5}:{(456,1),(458,1),(462,1)}
       495:{1,3,5,7}:{(457,1),(458,1),(459,1),(463,1),(522,1),(523,1)}
       496:{1,2,6}:{(459,1),(523,1)}
       497:{2,4,6,7}:{(460,1),(461,1),(464,1),(521,1),(524,1),(525,1)}
       498:{2,4,5,7}:{(461,1),(462,1),(463,1),(465,1),(522,1),(524,1),(525,1)}
       499:{2,3,6}:{(463,1),(466,1),(523,1),(525,1)}
       500:{1,3,5,7}:{(464,1),(467,1),(518,1),(524,1),(526,1)}
       501:{1,3,4,6}:{(465,1),(466,1),(468,1),(519,1),(525,1),(526,1)}
       502:{1,4,5,6}:{(467,1),(468,1),(520,1),(526,1),(552,1)}
       503:{1,2,6,7}:{(469,1),(475,1),(527,1),(531,1)}
       504:{1,3,5,7}:{(469,1),(470,1),(471,1),(476,1),(527,1),(528,1),(549,1)}
       505:{1,4,6}:{(470,1),(477,1),(528,1),(529,1)}
       506:{1,3,4,7}:{(471,1),(472,1),(473,1),(478,1),(528,1),(530,1)}
       507:{1,3,5}:{(472,1),(474,1),(479,1),(529,1)}
       508:{1,2,5,7}:{(473,1),(474,1),(530,1),(531,1)}
       509:{2,3,6,7}:{(475,1),(476,1),(480,1),(527,1),(532,1),(534,1)}
       510:{2,4,7}:{(476,1),(477,1),(481,1),(528,1)}
       511:{2,4,5}:{(477,1),(479,1),(482,1),(529,1)}
       512:{2,3,5,7}:{(478,1),(479,1),(483,1),(530,1),(533,1),(534,1)}
       513:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(488,1),(532,1),(535,1),(536,1)}
       514:{1,3,4,5,7}:{(481,1),(482,1),(483,1),(486,1),(489,1),(533,1),(535,1),(536,1)}
       515:{1,3,6}:{(483,1),(484,1),(534,1)}
       516:{1,4,5,7}:{(485,1),(490,1),(535,1),(537,1),(539,1)}
       517:{1,4,6}:{(486,1),(487,1),(491,1)}
       518:{3,5,7}:{(488,1),(490,1),(538,1)}
       519:{3,4,6}:{(489,1),(491,1),(538,1)}
       520:{2,4,5,6}:{(490,1),(491,1),(502,1),(537,1),(538,1),(541,1),(551,1)}
       521:{1,4,6,7}:{(492,1),(493,1),(497,1),(539,1),(540,1)}
       522:{1,4,5,7}:{(493,1),(494,1),(495,1),(498,1),(539,1),(540,1)}
       523:{1,3,6}:{(495,1),(496,1),(499,1),(540,1)}
       524:{2,5,7}:{(497,1),(500,1),(539,1),(541,1)}
       525:{2,4,6}:{(498,1),(499,1),(501,1),(540,1),(541,1)}
       526:{1,3,5,6}:{(500,1),(501,1),(502,1),(538,1),(541,1)}
       527:{1,3,6,7}:{(503,1),(504,1),(509,1),(542,1),(544,1)}
       528:{1,4,7}:{(504,1),(505,1),(510,1)}
       529:{1,4,5}:{(505,1),(507,1),(511,1)}
       530:{1,3,5,7}:{(506,1),(507,1),(508,1),(512,1),(543,1),(544,1)}
       531:{1,2,6}:{(508,1),(544,1)}
       532:{2,4,6,7}:{(509,1),(510,1),(513,1),(542,1),(545,1),(546,1)}
       533:{2,4,5,7}:{(510,1),(511,1),(512,1),(514,1),(543,1),(545,1),(546,1)}
       534:{2,3,6}:{(512,1),(515,1),(544,1),(546,1)}
       535:{1,3,5,7}:{(513,1),(516,1),(518,1),(545,1),(547,1)}
       536:{1,3,4,6}:{(514,1),(515,1),(517,1),(519,1),(546,1),(547,1)}
       537:{1,4,5,6}:{(516,1),(517,1),(520,1),(547,1),(548,1)}
       538:{3,5,6}:{(518,1),(519,1),(520,1)}
       539:{1,5,7}:{(521,1),(524,1),(548,1)}
       540:{1,4,6}:{(522,1),(523,1),(525,1),(548,1)}
       541:{2,5,6}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6,7}:{(527,1),(528,1),(532,1),(549,1),(550,1)}
       543:{1,4,5,7}:{(528,1),(529,1),(530,1),(533,1),(549,1),(550,1)}
       544:{1,3,6}:{(530,1),(531,1),(534,1),(550,1)}
       545:{2,5,7}:{(532,1),(535,1),(549,1),(551,1)}
       546:{2,4,6}:{(533,1),(534,1),(536,1),(550,1),(551,1)}
       547:{1,3,5,6}:{(535,1),(536,1),(537,1),(538,1),(551,1)}
       548:{1,5,6}:{(539,1),(540,1),(541,1)}
       549:{1,5,7}:{(542,1),(545,1),(552,1)}
       550:{1,4,6}:{(543,1),(544,1),(546,1),(552,1)}
       551:{2,5,6}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,5,6}:{(549,1),(550,1),(551,1)}

1874 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(35,1),(49,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(28,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(31,1),(56,1),(108,1)}
         4:{1,2,3,6}:{(9,1),(10,1),(11,1),(13,1),(84,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(16,1),(17,1),(132,1)}
         7:{1,3,4,6}:{(3,1),(12,1),(14,1),(16,1),(18,1),(49,1),(52,1),(54,1),(80,1),(131,1)}
         8:{1,2,5}:{(3,1),(18,1)}
         9:{1,2,3,5}:{(4,1),(20,1),(23,1),(58,1)}
        10:{1,2,3,7}:{(4,1),(21,1),(112,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(21,1),(22,1),(23,1),(26,1),(61,1),(71,1)}
        12:{2,3,4,6}:{(7,1),(22,1),(24,1),(25,1),(27,1),(57,1),(67,1),(68,1),(73,1),(110,1)}
        13:{1,2,3}:{(26,1)}
        14:{1,3,4}:{(5,1),(27,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(8,1),(28,1),(29,1),(32,1),(72,1)}
        16:{1,3,4,7}:{(6,1),(7,1),(24,1),(30,1),(75,1),(79,1),(151,1)}
        17:{1,2,5,7}:{(6,1),(8,1),(30,1),(31,1)}
        18:{1,3,5}:{(7,1),(8,1),(25,1),(32,1)}
        19:{1,2,5,6}:{(8,1),(29,1),(31,1),(33,1),(34,1),(108,1),(125,1)}
        20:{1,2,4}:{(9,1),(36,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(38,1),(39,1),(99,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(36,1),(38,1),(40,1),(45,1),(84,1),(87,1),(89,1),(98,1)}
        23:{1,2,5}:{(11,1),(40,1)}
        24:{2,3,4,7}:{(12,1),(16,1),(38,1),(42,1),(96,1),(101,1),(134,1)}
        25:{2,3,5}:{(12,1),(18,1),(40,1),(43,1)}
        26:{1,2,4}:{(13,1),(45,1),(46,1)}
        27:{2,3,4}:{(14,1),(45,1),(47,1)}
        28:{1,3,5}:{(14,1),(15,1),(47,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(19,1),(49,1),(50,1),(54,1),(100,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(18,1),(42,1),(51,1),(52,1)}
        31:{1,2,6}:{(17,1),(52,1)}
        32:{1,4,5}:{(18,1),(43,1),(54,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(44,1),(49,1),(52,1),(54,1),(55,1),(104,1),(131,1),(163,1)}
        34:{1,2,5,7}:{(19,1),(50,1),(53,1),(55,1),(132,1),(147,1)}
        35:{1,2,3}:{(56,1)}
        36:{1,3,4}:{(20,1),(57,1),(58,1)}
        37:{1,2,4,5}:{(20,1),(23,1),(58,1),(59,1),(62,1),(109,1)}
        38:{1,3,4,7}:{(21,1),(22,1),(24,1),(60,1),(112,1),(116,1),(124,1)}
        39:{1,2,5,7}:{(21,1),(23,1),(60,1),(61,1)}
        40:{1,3,5}:{(22,1),(23,1),(25,1),(62,1)}
        41:{1,2,5,6}:{(23,1),(59,1),(61,1),(63,1),(64,1),(71,1),(152,1)}
        42:{2,3,5,7}:{(24,1),(25,1),(30,1),(60,1),(66,1),(67,1)}
        43:{2,4,5}:{(25,1),(32,1),(62,1),(65,1),(68,1)}
        44:{2,3,5,6}:{(25,1),(33,1),(63,1),(67,1),(68,1),(69,1),(73,1),(110,1),(118,1),(120,1),(125,1),(152,1)}
        45:{1,3,4}:{(26,1),(27,1),(70,1)}
        46:{1,2,5}:{(26,1),(70,1),(71,1)}
        47:{2,3,5}:{(27,1),(28,1),(70,1),(72,1),(73,1)}
        48:{1,3,4,5}:{(28,1),(32,1),(65,1),(72,1),(74,1)}
        49:{1,3,6}:{(28,1),(29,1),(73,1),(75,1)}
        50:{1,2,4,7}:{(29,1),(34,1),(75,1),(79,1),(126,1)}
        51:{1,4,5,7}:{(30,1),(32,1),(66,1),(76,1),(79,1),(128,1)}
        52:{1,3,6}:{(30,1),(31,1),(67,1),(76,1)}
        53:{1,2,6,7}:{(31,1),(34,1),(77,1),(162,1)}
        54:{1,4,6}:{(32,1),(33,1),(68,1),(79,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(69,1),(75,1),(77,1),(79,1),(128,1),(151,1),(171,1)}
        56:{1,2,4}:{(35,1),(80,1),(81,1)}
        57:{2,3,4}:{(36,1),(80,1),(82,1)}
        58:{1,3,5}:{(36,1),(37,1),(82,1),(84,1)}
        59:{1,2,4,6}:{(37,1),(41,1),(84,1),(85,1),(89,1),(133,1)}
        60:{1,3,5,7}:{(38,1),(39,1),(40,1),(42,1),(86,1),(87,1)}
        61:{1,2,6}:{(39,1),(87,1)}
        62:{1,4,5}:{(40,1),(43,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(41,1),(44,1),(84,1),(87,1),(89,1),(90,1),(98,1),(137,1),(145,1)}
        64:{1,2,5,7}:{(41,1),(85,1),(88,1),(90,1),(99,1),(165,1)}
        65:{3,4,5}:{(43,1),(92,1)}
        66:{2,4,5,7}:{(42,1),(43,1),(51,1),(86,1),(91,1),(93,1),(96,1),(143,1)}
        67:{2,3,6}:{(42,1),(52,1),(87,1),(93,1)}
        68:{2,4,6}:{(43,1),(44,1),(54,1),(89,1),(92,1),(96,1)}
        69:{2,3,5,7}:{(44,1),(55,1),(90,1),(94,1),(96,1),(101,1),(134,1),(142,1),(143,1),(147,1),(165,1)}
        70:{1,3,5}:{(45,1),(46,1),(47,1),(97,1),(98,1)}
        71:{1,2,6}:{(46,1),(98,1),(99,1)}
        72:{2,4,5}:{(47,1),(48,1),(97,1),(100,1)}
        73:{2,3,6}:{(47,1),(49,1),(98,1),(100,1),(101,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(54,1),(92,1),(100,1),(102,1),(103,1)}
        75:{1,3,7}:{(49,1),(50,1),(101,1)}
        76:{1,4,6}:{(51,1),(52,1),(93,1),(104,1)}
        77:{1,3,6,7}:{(52,1),(53,1),(55,1),(94,1),(105,1),(174,1)}
        78:{1,4,5,6}:{(54,1),(95,1),(102,1),(104,1),(106,1),(163,1)}
        79:{1,4,7}:{(54,1),(55,1),(96,1)}
        80:{1,3,4}:{(56,1),(57,1),(107,1)}
        81:{1,2,5}:{(56,1),(107,1),(108,1)}
        82:{2,3,5}:{(57,1),(58,1),(107,1),(109,1),(110,1)}
        83:{1,3,4,5}:{(58,1),(62,1),(65,1),(109,1),(111,1)}
        84:{1,3,6}:{(58,1),(59,1),(110,1),(112,1)}
        85:{1,2,4,7}:{(59,1),(64,1),(112,1),(116,1),(153,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(66,1),(113,1),(116,1),(155,1)}
        87:{1,3,6}:{(60,1),(61,1),(67,1),(113,1)}
        88:{1,2,6,7}:{(61,1),(64,1),(114,1),(172,1)}
        89:{1,4,6}:{(62,1),(63,1),(68,1),(116,1)}
        90:{1,3,5,7}:{(63,1),(64,1),(69,1),(112,1),(114,1),(116,1),(124,1),(155,1),(161,1)}
        91:{3,4,5,7}:{(65,1),(66,1),(117,1),(119,1),(158,1)}
        92:{3,4,6}:{(65,1),(68,1),(118,1),(119,1)}
        93:{2,4,6}:{(66,1),(67,1),(76,1),(113,1),(117,1),(120,1)}
        94:{2,3,6,7}:{(67,1),(69,1),(77,1),(114,1),(121,1),(159,1),(162,1),(172,1)}
        95:{2,4,5,6}:{(68,1),(78,1),(115,1),(118,1),(120,1),(122,1),(125,1),(152,1),(157,1)}
        96:{2,4,7}:{(68,1),(69,1),(79,1),(116,1),(119,1)}
        97:{1,4,5}:{(70,1),(72,1),(123,1)}
        98:{1,3,6}:{(70,1),(71,1),(73,1),(123,1),(124,1)}
        99:{1,2,7}:{(71,1),(124,1)}
       100:{2,4,6}:{(72,1),(73,1),(74,1),(123,1),(125,1),(126,1)}
       101:{2,3,7}:{(73,1),(75,1),(124,1),(126,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(118,1),(125,1),(127,1)}
       103:{1,3,4,7}:{(74,1),(75,1),(79,1),(119,1),(126,1),(127,1)}
       104:{1,5,6}:{(76,1),(120,1),(128,1)}
       105:{1,4,6,7}:{(76,1),(77,1),(79,1),(121,1),(128,1)}
       106:{1,4,5,7}:{(78,1),(79,1),(122,1),(127,1),(128,1),(129,1),(171,1)}
       107:{1,3,5}:{(80,1),(81,1),(82,1),(130,1),(131,1)}
       108:{1,2,6}:{(81,1),(131,1),(132,1)}
       109:{2,4,5}:{(82,1),(83,1),(130,1),(133,1)}
       110:{2,3,6}:{(82,1),(84,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(89,1),(92,1),(133,1),(135,1),(136,1)}
       112:{1,3,7}:{(84,1),(85,1),(134,1)}
       113:{1,4,6}:{(86,1),(87,1),(93,1),(137,1)}
       114:{1,3,6,7}:{(87,1),(88,1),(90,1),(94,1),(138,1),(170,1)}
       115:{1,4,5,6}:{(89,1),(95,1),(135,1),(137,1),(139,1),(145,1)}
       116:{1,4,7}:{(89,1),(90,1),(96,1)}
       117:{3,4,6}:{(91,1),(93,1),(140,1)}
       118:{3,5,6}:{(92,1),(95,1),(142,1)}
       119:{3,4,7}:{(92,1),(96,1),(142,1)}
       120:{2,5,6}:{(93,1),(104,1),(137,1),(140,1),(143,1)}
       121:{2,4,6,7}:{(93,1),(94,1),(96,1),(105,1),(138,1),(141,1),(143,1)}
       122:{2,4,5,7}:{(95,1),(96,1),(106,1),(139,1),(142,1),(143,1),(144,1),(147,1),(165,1),(168,1)}
       123:{1,4,6}:{(97,1),(98,1),(100,1),(145,1),(146,1)}
       124:{1,3,7}:{(98,1),(99,1),(101,1),(146,1)}
       125:{2,5,6}:{(100,1),(102,1),(145,1),(147,1)}
       126:{2,4,7}:{(100,1),(101,1),(103,1),(146,1),(147,1)}
       127:{1,3,5,7}:{(102,1),(103,1),(106,1),(142,1),(147,1),(148,1)}
       128:{1,5,7}:{(104,1),(105,1),(143,1)}
       129:{1,4,6,7}:{(106,1),(144,1),(148,1),(149,1),(174,1)}
       130:{1,4,5}:{(107,1),(109,1),(150,1)}
       131:{1,3,6}:{(107,1),(108,1),(110,1),(150,1),(151,1)}
       132:{1,2,7}:{(108,1),(151,1)}
       133:{2,4,6}:{(109,1),(110,1),(111,1),(150,1),(152,1),(153,1)}
       134:{2,3,7}:{(110,1),(112,1),(151,1),(153,1)}
       135:{1,3,5,6}:{(111,1),(115,1),(118,1),(152,1),(154,1)}
       136:{1,3,4,7}:{(111,1),(112,1),(116,1),(119,1),(153,1),(154,1)}
       137:{1,5,6}:{(113,1),(120,1),(155,1)}
       138:{1,4,6,7}:{(113,1),(114,1),(116,1),(121,1),(155,1)}
       139:{1,4,5,7}:{(115,1),(116,1),(122,1),(154,1),(155,1),(156,1),(161,1)}
       140:{3,5,6}:{(117,1),(120,1),(157,1),(158,1)}
       141:{3,4,6,7}:{(117,1),(119,1),(121,1),(158,1),(159,1),(173,1)}
       142:{3,5,7}:{(118,1),(119,1),(122,1),(159,1)}
       143:{2,5,7}:{(120,1),(121,1),(128,1),(155,1),(158,1)}
       144:{2,4,6,7}:{(122,1),(129,1),(156,1),(159,1),(160,1),(162,1),(172,1),(173,1)}
       145:{1,5,6}:{(123,1),(125,1),(161,1)}
       146:{1,4,7}:{(123,1),(124,1),(126,1),(161,1)}
       147:{2,5,7}:{(125,1),(126,1),(127,1),(161,1),(162,1)}
       148:{1,3,6,7}:{(127,1),(129,1),(159,1),(162,1)}
       149:{1,5,6,7}:{(128,1),(129,1),(160,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(163,1),(164,1)}
       151:{1,3,7}:{(131,1),(132,1),(134,1),(164,1)}
       152:{2,5,6}:{(133,1),(135,1),(163,1),(165,1)}
       153:{2,4,7}:{(133,1),(134,1),(136,1),(164,1),(165,1)}
       154:{1,3,5,7}:{(135,1),(136,1),(139,1),(142,1),(165,1),(166,1)}
       155:{1,5,7}:{(137,1),(138,1),(143,1)}
       156:{1,4,6,7}:{(139,1),(144,1),(166,1),(167,1),(170,1)}
       157:{4,5,6}:{(140,1),(168,1)}
       158:{3,5,7}:{(140,1),(141,1),(143,1),(168,1)}
       159:{3,6,7}:{(142,1),(144,1)}
       160:{2,5,6,7}:{(143,1),(144,1),(149,1),(167,1),(169,1)}
       161:{1,5,7}:{(145,1),(146,1),(147,1),(170,1)}
       162:{2,6,7}:{(147,1),(148,1),(170,1)}
       163:{1,5,6}:{(150,1),(152,1),(171,1)}
       164:{1,4,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{2,5,7}:{(152,1),(153,1),(154,1),(171,1),(172,1)}
       166:{1,3,6,7}:{(154,1),(156,1),(159,1),(172,1)}
       167:{1,5,6,7}:{(155,1),(156,1),(160,1)}
       168:{4,5,7}:{(157,1),(158,1),(173,1)}
       169:{3,5,6,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{1,6,7}:{(161,1),(162,1)}
       171:{1,5,7}:{(163,1),(164,1),(165,1),(174,1)}
       172:{2,6,7}:{(165,1),(166,1),(174,1)}
       173:{4,6,7}:{(168,1),(169,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1875 :   0:{1,2,3,7}:{(1,1),(2,1),(90,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(47,1),(64,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(6,1),(7,1),(142,1)}
         3:{1,2,3,7}:{(8,1),(9,1),(124,1)}
         4:{1,2,3,5}:{(1,1),(11,1),(13,1),(40,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(15,1),(70,1),(120,1)}
         6:{1,3,4,7}:{(2,1),(10,1),(12,1),(14,1),(90,1),(92,1),(158,1)}
         7:{1,2,5,7}:{(2,1),(13,1),(14,1),(15,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(22,1),(98,1)}
         9:{1,2,4,7}:{(3,1),(17,1),(18,1),(19,1),(112,1)}
        10:{2,3,4,7}:{(6,1),(18,1),(20,1),(21,1),(108,1),(114,1),(144,1)}
        11:{1,2,4}:{(4,1),(23,1)}
        12:{1,3,4,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(28,1),(64,1),(66,1),(94,1),(141,1)}
        13:{1,2,5}:{(5,1),(25,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(21,1),(25,1),(27,1),(28,1)}
        15:{1,2,6}:{(7,1),(28,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(32,1),(72,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(34,1),(38,1),(86,1)}
        18:{1,3,4,7}:{(9,1),(10,1),(31,1),(33,1),(124,1),(126,1),(135,1)}
        19:{1,2,5,7}:{(9,1),(32,1),(33,1),(34,1)}
        20:{2,3,4,6}:{(10,1),(12,1),(31,1),(35,1),(37,1),(39,1),(71,1),(81,1),(88,1),(122,1)}
        21:{2,3,5,7}:{(10,1),(14,1),(33,1),(35,1),(36,1),(37,1)}
        22:{1,2,3}:{(38,1)}
        23:{1,3,4}:{(11,1),(39,1),(40,1)}
        24:{1,2,4,5}:{(11,1),(13,1),(40,1),(41,1),(42,1),(87,1)}
        25:{1,3,5}:{(12,1),(13,1),(35,1),(42,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(41,1),(43,1),(44,1),(120,1),(136,1)}
        27:{1,4,5,7}:{(14,1),(36,1),(42,1),(45,1),(92,1),(93,1)}
        28:{1,3,6}:{(14,1),(15,1),(37,1),(45,1)}
        29:{1,2,6,7}:{(15,1),(44,1),(46,1),(166,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(20,1),(48,1),(50,1),(53,1),(60,1),(98,1),(100,1),(111,1)}
        32:{1,2,5}:{(17,1),(50,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(21,1),(50,1),(52,1),(53,1)}
        34:{1,2,6}:{(19,1),(53,1)}
        35:{2,3,5}:{(20,1),(25,1),(50,1),(56,1)}
        36:{2,4,5,7}:{(21,1),(27,1),(52,1),(55,1),(56,1),(58,1),(108,1),(109,1)}
        37:{2,3,6}:{(21,1),(28,1),(53,1),(58,1)}
        38:{1,2,4}:{(22,1),(60,1),(61,1)}
        39:{2,3,4}:{(23,1),(60,1),(62,1)}
        40:{1,3,5}:{(23,1),(24,1),(62,1),(64,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(64,1),(65,1),(66,1),(113,1)}
        42:{1,4,5}:{(25,1),(56,1),(66,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(57,1),(64,1),(66,1),(67,1),(68,1),(141,1),(167,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(65,1),(67,1),(142,1),(155,1)}
        45:{1,4,6}:{(27,1),(28,1),(58,1),(68,1)}
        46:{1,3,6,7}:{(28,1),(29,1),(59,1),(67,1),(69,1),(174,1)}
        47:{1,2,3}:{(70,1)}
        48:{1,3,4}:{(30,1),(71,1),(72,1)}
        49:{1,2,4,5}:{(30,1),(32,1),(72,1),(73,1),(74,1),(121,1)}
        50:{1,3,5}:{(31,1),(32,1),(35,1),(74,1)}
        51:{1,2,5,6}:{(32,1),(34,1),(73,1),(75,1),(76,1),(86,1),(159,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(74,1),(77,1),(126,1),(127,1)}
        53:{1,3,6}:{(33,1),(34,1),(37,1),(77,1)}
        54:{1,2,6,7}:{(34,1),(76,1),(78,1),(173,1)}
        55:{3,4,5,7}:{(36,1),(79,1),(80,1),(129,1),(131,1)}
        56:{2,4,5}:{(35,1),(42,1),(74,1),(80,1),(81,1)}
        57:{2,3,5,6}:{(35,1),(37,1),(43,1),(75,1),(81,1),(82,1),(83,1),(88,1),(122,1),(130,1),(136,1),(159,1)}
        58:{2,4,6}:{(36,1),(37,1),(45,1),(77,1),(79,1),(83,1)}
        59:{2,3,6,7}:{(37,1),(46,1),(78,1),(82,1),(84,1),(164,1),(166,1),(173,1)}
        60:{1,3,4}:{(38,1),(39,1),(85,1)}
        61:{1,2,5}:{(38,1),(85,1),(86,1)}
        62:{2,3,5}:{(39,1),(40,1),(85,1),(87,1),(88,1)}
        63:{1,3,4,5}:{(40,1),(42,1),(80,1),(87,1),(89,1)}
        64:{1,3,6}:{(40,1),(41,1),(88,1),(90,1)}
        65:{1,2,4,7}:{(41,1),(44,1),(90,1),(92,1),(137,1)}
        66:{1,4,6}:{(42,1),(43,1),(81,1),(92,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(90,1),(92,1),(93,1),(158,1),(172,1)}
        68:{1,5,6}:{(45,1),(83,1),(93,1)}
        69:{1,4,6,7}:{(45,1),(46,1),(84,1),(92,1),(93,1)}
        70:{1,2,4}:{(47,1),(94,1),(95,1)}
        71:{2,3,4}:{(48,1),(94,1),(96,1)}
        72:{1,3,5}:{(48,1),(49,1),(96,1),(98,1)}
        73:{1,2,4,6}:{(49,1),(51,1),(98,1),(99,1),(100,1),(143,1)}
        74:{1,4,5}:{(50,1),(56,1),(100,1)}
        75:{1,3,5,6}:{(50,1),(51,1),(53,1),(57,1),(98,1),(100,1),(101,1),(102,1),(111,1),(153,1)}
        76:{1,2,5,7}:{(51,1),(54,1),(99,1),(101,1),(112,1),(169,1)}
        77:{1,4,6}:{(52,1),(53,1),(58,1),(102,1)}
        78:{1,3,6,7}:{(53,1),(54,1),(59,1),(101,1),(103,1),(171,1)}
        79:{3,4,6}:{(55,1),(58,1),(104,1)}
        80:{3,4,5}:{(56,1),(106,1)}
        81:{2,4,6}:{(56,1),(57,1),(66,1),(100,1),(106,1),(108,1)}
        82:{2,3,5,7}:{(57,1),(59,1),(67,1),(101,1),(108,1),(109,1),(114,1),(144,1),(151,1),(155,1),(169,1)}
        83:{2,5,6}:{(58,1),(68,1),(102,1),(104,1),(109,1)}
        84:{2,4,6,7}:{(58,1),(59,1),(69,1),(103,1),(105,1),(108,1),(109,1)}
        85:{1,3,5}:{(60,1),(61,1),(62,1),(110,1),(111,1)}
        86:{1,2,6}:{(61,1),(111,1),(112,1)}
        87:{2,4,5}:{(62,1),(63,1),(110,1),(113,1)}
        88:{2,3,6}:{(62,1),(64,1),(111,1),(113,1),(114,1)}
        89:{1,3,4,6}:{(63,1),(64,1),(66,1),(106,1),(113,1),(115,1),(116,1)}
        90:{1,3,7}:{(64,1),(65,1),(114,1)}
        91:{1,4,5,6}:{(66,1),(68,1),(107,1),(115,1),(117,1),(167,1)}
        92:{1,4,7}:{(66,1),(67,1),(108,1)}
        93:{1,5,7}:{(68,1),(69,1),(109,1)}
        94:{1,3,4}:{(70,1),(71,1),(119,1)}
        95:{1,2,5}:{(70,1),(119,1),(120,1)}
        96:{2,3,5}:{(71,1),(72,1),(119,1),(121,1),(122,1)}
        97:{1,3,4,5}:{(72,1),(74,1),(80,1),(121,1),(123,1)}
        98:{1,3,6}:{(72,1),(73,1),(122,1),(124,1)}
        99:{1,2,4,7}:{(73,1),(76,1),(124,1),(126,1),(160,1)}
       100:{1,4,6}:{(74,1),(75,1),(81,1),(126,1)}
       101:{1,3,5,7}:{(75,1),(76,1),(78,1),(82,1),(124,1),(126,1),(127,1),(135,1),(165,1)}
       102:{1,5,6}:{(77,1),(83,1),(127,1)}
       103:{1,4,6,7}:{(77,1),(78,1),(84,1),(126,1),(127,1)}
       104:{3,5,6}:{(79,1),(83,1),(128,1),(129,1)}
       105:{3,4,6,7}:{(79,1),(84,1),(129,1),(131,1),(163,1),(164,1)}
       106:{3,4,6}:{(80,1),(81,1),(130,1),(131,1)}
       107:{2,4,5,6}:{(81,1),(83,1),(91,1),(125,1),(128,1),(130,1),(132,1),(136,1),(159,1)}
       108:{2,4,7}:{(81,1),(82,1),(92,1),(126,1),(131,1)}
       109:{2,5,7}:{(83,1),(84,1),(93,1),(127,1),(129,1)}
       110:{1,4,5}:{(85,1),(87,1),(134,1)}
       111:{1,3,6}:{(85,1),(86,1),(88,1),(134,1),(135,1)}
       112:{1,2,7}:{(86,1),(135,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(134,1),(136,1),(137,1)}
       114:{2,3,7}:{(88,1),(90,1),(135,1),(137,1)}
       115:{1,3,5,6}:{(89,1),(91,1),(130,1),(136,1),(138,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(131,1),(137,1),(138,1)}
       117:{1,4,5,7}:{(91,1),(92,1),(93,1),(132,1),(138,1),(139,1),(172,1)}
       118:{1,5,6,7}:{(93,1),(133,1),(139,1)}
       119:{1,3,5}:{(94,1),(95,1),(96,1),(140,1),(141,1)}
       120:{1,2,6}:{(95,1),(141,1),(142,1)}
       121:{2,4,5}:{(96,1),(97,1),(140,1),(143,1)}
       122:{2,3,6}:{(96,1),(98,1),(141,1),(143,1),(144,1)}
       123:{1,3,4,6}:{(97,1),(98,1),(100,1),(106,1),(143,1),(145,1),(146,1)}
       124:{1,3,7}:{(98,1),(99,1),(144,1)}
       125:{1,4,5,6}:{(100,1),(102,1),(107,1),(145,1),(147,1),(153,1)}
       126:{1,4,7}:{(100,1),(101,1),(108,1)}
       127:{1,5,7}:{(102,1),(103,1),(109,1)}
       128:{4,5,6}:{(104,1),(149,1)}
       129:{3,5,7}:{(104,1),(105,1),(109,1),(149,1)}
       130:{3,5,6}:{(106,1),(107,1),(151,1)}
       131:{3,4,7}:{(106,1),(108,1),(151,1)}
       132:{2,4,5,7}:{(107,1),(108,1),(109,1),(117,1),(147,1),(149,1),(151,1),(152,1),(155,1),(169,1)}
       133:{2,5,6,7}:{(109,1),(118,1),(148,1),(150,1),(152,1)}
       134:{1,4,6}:{(110,1),(111,1),(113,1),(153,1),(154,1)}
       135:{1,3,7}:{(111,1),(112,1),(114,1),(154,1)}
       136:{2,5,6}:{(113,1),(115,1),(153,1),(155,1)}
       137:{2,4,7}:{(113,1),(114,1),(116,1),(154,1),(155,1)}
       138:{1,3,5,7}:{(115,1),(116,1),(117,1),(151,1),(155,1),(156,1)}
       139:{1,4,6,7}:{(117,1),(118,1),(152,1),(156,1),(174,1)}
       140:{1,4,5}:{(119,1),(121,1),(157,1)}
       141:{1,3,6}:{(119,1),(120,1),(122,1),(157,1),(158,1)}
       142:{1,2,7}:{(120,1),(158,1)}
       143:{2,4,6}:{(121,1),(122,1),(123,1),(157,1),(159,1),(160,1)}
       144:{2,3,7}:{(122,1),(124,1),(158,1),(160,1)}
       145:{1,3,5,6}:{(123,1),(125,1),(130,1),(159,1),(161,1)}
       146:{1,3,4,7}:{(123,1),(124,1),(126,1),(131,1),(160,1),(161,1)}
       147:{1,4,5,7}:{(125,1),(126,1),(127,1),(132,1),(161,1),(162,1),(165,1)}
       148:{1,5,6,7}:{(127,1),(133,1),(162,1)}
       149:{4,5,7}:{(128,1),(129,1),(163,1)}
       150:{3,5,6,7}:{(129,1),(133,1),(163,1),(164,1)}
       151:{3,5,7}:{(130,1),(131,1),(132,1),(164,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(139,1),(162,1),(163,1),(164,1),(166,1),(173,1)}
       153:{1,5,6}:{(134,1),(136,1),(165,1)}
       154:{1,4,7}:{(134,1),(135,1),(137,1),(165,1)}
       155:{2,5,7}:{(136,1),(137,1),(138,1),(165,1),(166,1)}
       156:{1,3,6,7}:{(138,1),(139,1),(164,1),(166,1)}
       157:{1,4,6}:{(140,1),(141,1),(143,1),(167,1),(168,1)}
       158:{1,3,7}:{(141,1),(142,1),(144,1),(168,1)}
       159:{2,5,6}:{(143,1),(145,1),(167,1),(169,1)}
       160:{2,4,7}:{(143,1),(144,1),(146,1),(168,1),(169,1)}
       161:{1,3,5,7}:{(145,1),(146,1),(147,1),(151,1),(169,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(152,1),(170,1),(171,1)}
       163:{4,6,7}:{(149,1),(150,1)}
       164:{3,6,7}:{(151,1),(152,1)}
       165:{1,5,7}:{(153,1),(154,1),(155,1),(171,1)}
       166:{2,6,7}:{(155,1),(156,1),(171,1)}
       167:{1,5,6}:{(157,1),(159,1),(172,1)}
       168:{1,4,7}:{(157,1),(158,1),(160,1),(172,1)}
       169:{2,5,7}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,6,7}:{(161,1),(162,1),(164,1),(173,1)}
       171:{1,6,7}:{(165,1),(166,1)}
       172:{1,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,6,7}:{(169,1),(170,1),(174,1)}
       174:{1,6,7}:{(172,1),(173,1)}

1876 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(77,1),(81,1),(144,1),(149,1),(212,1),(222,1),(262,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(57,1),(115,1),(244,1),(251,1),(284,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(106,1),(111,1),(122,1),(127,1),(130,1),(133,1),(250,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(38,1),(46,1),(141,1),(209,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(81,1),(82,1),(86,1),(144,1),(208,1),(218,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(148,1),(266,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(266,1),(272,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(44,1),(95,1),(102,1),(273,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(49,1),(100,1),(103,1),(137,1),(143,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(69,1),(109,1),(187,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(65,1),(74,1),(104,1),(126,1),(166,1),(227,1),(249,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(58,1),(63,1),(116,1),(122,1),(127,1),(169,1),(176,1),(179,1),(250,1),(288,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(174,1),(239,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(178,1),(239,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(239,1),(248,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(64,1),(69,1),(111,1),(117,1),(122,1),(128,1),(130,1),(247,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(115,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(74,1),(290,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(76,1),(170,1),(177,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(38,1),(79,1),(97,1),(162,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(219,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(37,1),(39,1),(48,1),(78,1),(89,1),(99,1),(139,1),(155,1),(205,1),(219,1)}
        23:{2,4,5,6}:{(10,1),(39,1),(41,1),(42,1),(93,1),(159,1),(272,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(44,1),(85,1),(95,1),(213,1),(273,1),(301,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(44,1),(45,1),(96,1),(202,1),(210,1),(212,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(46,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(38,1),(46,1),(47,1),(86,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(46,1),(48,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(48,1),(49,1),(99,1),(271,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(49,1),(50,1),(100,1),(143,1),(150,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(48,1),(51,1),(95,1)}
        32:{2,5,6}:{(17,1),(18,1),(49,1)}
        33:{2,3,6}:{(18,1),(19,1),(44,1)}
        34:{2,3,4,7}:{(19,1),(45,1),(53,1),(100,1),(203,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(128,1),(194,1)}
        36:{2,3,5,7}:{(25,1),(57,1),(58,1),(116,1),(232,1),(241,1),(288,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(54,1),(59,1),(69,1),(109,1),(117,1),(128,1),(174,1)}
        38:{2,5,6,7}:{(21,1),(59,1),(60,1),(248,1)}
        39:{2,4,5,7}:{(22,1),(23,1),(59,1),(61,1),(62,1),(120,1),(189,1),(248,1)}
        40:{1,2,4,6,7}:{(24,1),(30,1),(63,1),(64,1),(113,1),(122,1),(176,1),(184,1),(247,1)}
        41:{2,3,5,6}:{(23,1),(56,1),(61,1),(65,1),(74,1),(227,1)}
        42:{1,4,5,6}:{(23,1),(62,1),(65,1),(192,1),(290,1)}
        43:{1,2,5,6}:{(24,1),(32,1),(63,1),(67,1),(116,1),(180,1),(290,1)}
        44:{1,3,6}:{(24,1),(25,1),(33,1),(57,1),(244,1)}
        45:{1,3,4,7}:{(25,1),(34,1),(58,1),(68,1),(122,1),(178,1),(233,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(28,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(29,1),(60,1),(69,1),(70,1),(117,1),(128,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(71,1),(122,1)}
        49:{2,5,7}:{(29,1),(30,1),(32,1)}
        50:{2,3,6,7}:{(30,1),(33,1),(64,1),(72,1),(128,1),(177,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(71,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(67,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(68,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(78,1),(79,1)}
        55:{2,3,5,6,7}:{(35,1),(38,1),(79,1),(80,1),(86,1),(138,1)}
        56:{2,3,4,6}:{(41,1),(77,1),(81,1),(83,1),(102,1),(159,1),(214,1),(254,1)}
        57:{2,3,6}:{(36,1),(44,1),(85,1),(301,1)}
        58:{2,4,7}:{(36,1),(45,1),(85,1),(259,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(39,1),(86,1),(87,1),(150,1)}
        60:{1,5,6,7}:{(38,1),(87,1),(271,1)}
        61:{2,3,5,7}:{(39,1),(41,1),(81,1),(86,1),(89,1),(99,1),(205,1)}
        62:{1,4,5,7}:{(39,1),(42,1),(87,1),(89,1),(221,1),(271,1)}
        63:{1,2,5,7}:{(40,1),(43,1),(49,1),(91,1),(145,1),(271,1)}
        64:{1,3,6,7}:{(40,1),(44,1),(50,1),(82,1),(91,1),(210,1)}
        65:{1,3,5,6}:{(41,1),(42,1),(83,1),(89,1),(93,1)}
        66:{1,2,4,5,6}:{(42,1),(43,1),(51,1),(90,1),(93,1),(94,1),(95,1),(146,1),(149,1),(159,1),(198,1),(213,1),(220,1),(224,1),(252,1),(270,1),(272,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        67:{1,3,5,6}:{(43,1),(44,1),(52,1),(84,1),(91,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(53,1),(85,1),(95,1),(96,1),(148,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(48,1),(97,1)}
        70:{2,5,6,7}:{(47,1),(49,1),(97,1),(150,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(51,1),(97,1),(99,1),(100,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(52,1),(91,1),(99,1),(100,1)}
        73:{2,3,4,6,7}:{(50,1),(53,1),(92,1),(100,1),(101,1),(161,1),(164,1),(211,1),(218,1),(269,1)}
        74:{3,5,6}:{(51,1),(99,1),(102,1)}
        75:{2,4,6}:{(52,1),(95,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(96,1),(103,1)}
        77:{2,3,4,5}:{(56,1),(106,1),(133,1),(193,1),(232,1),(276,1)}
        78:{3,4,5,7}:{(54,1),(104,1),(107,1),(194,1),(305,1)}
        79:{2,4,6,7}:{(54,1),(55,1),(107,1),(109,1)}
        80:{1,3,5,6,7}:{(55,1),(60,1),(109,1),(110,1),(117,1),(171,1),(174,1)}
        81:{2,3,4,7}:{(56,1),(61,1),(111,1),(130,1),(189,1),(236,1),(241,1)}
        82:{2,3,6,7}:{(57,1),(64,1),(112,1),(113,1),(241,1),(244,1)}
        83:{1,3,4,6}:{(56,1),(65,1),(106,1),(111,1),(114,1),(181,1),(192,1)}
        84:{2,3,5,6}:{(57,1),(67,1),(112,1),(115,1),(116,1),(180,1),(183,1),(244,1)}
        85:{2,4,6}:{(57,1),(58,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(59,1),(61,1),(117,1),(128,1),(174,1)}
        87:{1,4,6,7}:{(59,1),(60,1),(62,1),(117,1)}
        88:{1,2,5,6,7}:{(60,1),(63,1),(70,1),(110,1),(118,1),(119,1),(180,1),(184,1),(234,1),(248,1),(290,1),(308,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(111,1),(117,1),(120,1)}
        90:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(71,1),(118,1),(120,1),(121,1),(122,1),(172,1),(176,1),(179,1),(187,1),(189,1),(234,1),(248,1),(250,1),(282,1),(288,1),(306,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(67,1),(72,1),(112,1),(122,1)}
        92:{1,3,4,6,7}:{(64,1),(68,1),(73,1),(113,1),(122,1),(123,1),(178,1),(191,1),(242,1),(244,1),(247,1),(289,1)}
        93:{2,5,6}:{(65,1),(114,1),(120,1)}
        94:{1,3,5,6}:{(66,1),(74,1),(121,1),(125,1),(126,1),(181,1),(183,1),(227,1),(244,1),(246,1),(289,1),(313,1),(314,1)}
        95:{1,4,6}:{(67,1),(75,1),(115,1),(122,1),(127,1)}
        96:{1,3,5}:{(68,1),(76,1),(116,1),(127,1),(183,1)}
        97:{2,4,6,7}:{(69,1),(70,1),(71,1),(128,1)}
        98:{2,3,5,6,7}:{(70,1),(72,1),(119,1),(128,1),(129,1),(132,1),(185,1),(194,1),(248,1),(281,1),(308,1),(314,1)}
        99:{3,5,7}:{(71,1),(74,1),(128,1),(130,1)}
       100:{2,4,7}:{(72,1),(75,1),(122,1),(130,1)}
       101:{2,3,5,7}:{(73,1),(76,1),(123,1),(131,1),(132,1),(194,1),(248,1)}
       102:{3,4,6}:{(74,1),(75,1),(130,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(127,1),(133,1)}
       104:{3,4,5,6}:{(78,1),(134,1),(225,1),(309,1)}
       105:{2,3,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(138,1),(163,1),(222,1),(257,1),(296,1),(310,1),(311,1)}
       106:{1,3,4,5}:{(77,1),(83,1),(137,1),(202,1),(224,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(134,1),(138,1),(139,1),(296,1)}
       108:{2,3,4,6,7}:{(79,1),(81,1),(86,1),(135,1),(138,1),(140,1),(161,1),(218,1),(263,1),(296,1)}
       109:{1,4,6,7}:{(79,1),(80,1),(139,1),(141,1)}
       110:{2,5,6,7}:{(80,1),(141,1),(150,1),(204,1)}
       111:{1,3,4,7}:{(81,1),(83,1),(89,1),(143,1),(210,1),(221,1)}
       112:{2,3,5,7}:{(82,1),(84,1),(91,1),(144,1),(145,1),(212,1)}
       113:{2,4,6,7}:{(82,1),(85,1),(92,1),(144,1),(145,1),(213,1),(267,1),(301,1)}
       114:{2,4,6}:{(83,1),(93,1),(137,1),(143,1),(147,1)}
       115:{2,4,6}:{(84,1),(95,1),(144,1),(148,1),(149,1)}
       116:{2,5}:{(85,1),(96,1)}
       117:{1,3,6,7}:{(86,1),(87,1),(89,1),(150,1)}
       118:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(97,1),(141,1),(150,1),(151,1),(152,1),(213,1),(218,1),(273,1),(301,1),(312,1)}
       119:{1,3,5,6,7}:{(88,1),(91,1),(98,1),(142,1),(151,1),(152,1),(157,1),(217,1),(219,1),(260,1),(271,1),(300,1)}
       120:{2,5,7}:{(89,1),(93,1),(143,1),(150,1)}
       121:{1,3,5,7}:{(90,1),(94,1),(99,1),(151,1),(154,1),(155,1),(205,1),(210,1),(212,1),(311,1)}
       122:{1,4,7}:{(91,1),(95,1),(100,1),(144,1)}
       123:{1,3,5,7}:{(92,1),(96,1),(101,1),(145,1),(156,1),(157,1),(212,1),(271,1)}
       124:{1,2,5,6}:{(93,1),(146,1),(153,1),(158,1),(270,1),(301,1)}
       125:{2,3,5,6}:{(93,1),(94,1),(147,1),(154,1),(158,1),(159,1),(214,1),(216,1),(269,1),(270,1),(272,1),(301,1)}
       126:{1,3,4,6}:{(94,1),(95,1),(102,1),(148,1),(155,1),(159,1),(160,1),(254,1),(292,1),(309,1)}
       127:{1,4,5}:{(95,1),(96,1),(103,1),(149,1)}
       128:{3,6,7}:{(97,1),(99,1)}
       129:{2,4,6,7}:{(98,1),(100,1),(152,1),(161,1),(162,1),(164,1),(296,1),(312,1)}
       130:{3,4,7}:{(99,1),(100,1),(102,1)}
       131:{2,4,5,7}:{(100,1),(101,1),(103,1),(156,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(101,1),(157,1),(164,1),(225,1),(269,1),(272,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(107,1),(165,1),(166,1),(302,1)}
       135:{2,3,4,6}:{(105,1),(165,1),(167,1),(196,1),(251,1),(277,1),(302,1),(314,1)}
       136:{1,3,4,5,7}:{(105,1),(106,1),(111,1),(167,1),(168,1),(171,1),(230,1),(236,1),(250,1),(276,1),(282,1),(303,1)}
       137:{2,4,5}:{(106,1),(114,1),(170,1)}
       138:{2,3,5,7}:{(107,1),(108,1),(165,1),(171,1),(194,1),(248,1)}
       139:{1,4,5,7}:{(107,1),(109,1),(166,1),(171,1),(172,1),(282,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(111,1),(117,1),(167,1),(171,1),(173,1),(174,1),(236,1),(237,1),(247,1),(282,1)}
       141:{2,4,6,7}:{(109,1),(110,1),(172,1),(174,1)}
       142:{2,3,5,6,7}:{(110,1),(112,1),(119,1),(174,1),(175,1),(180,1),(185,1),(235,1),(239,1),(244,1),(248,1),(287,1)}
       143:{2,4,7}:{(111,1),(114,1),(120,1),(177,1)}
       144:{2,4,7}:{(112,1),(115,1),(122,1),(178,1)}
       145:{2,5,7}:{(113,1),(116,1),(123,1),(180,1)}
       146:{1,2,4,6}:{(114,1),(124,1),(169,1),(176,1),(181,1),(192,1),(245,1)}
       147:{2,3,6}:{(114,1),(170,1),(177,1),(181,1)}
       148:{3,4,6}:{(115,1),(178,1),(183,1),(244,1)}
       149:{2,4,5}:{(115,1),(116,1),(127,1),(183,1)}
       150:{2,6,7}:{(117,1),(120,1)}
       151:{1,3,6,7}:{(118,1),(121,1),(128,1),(174,1),(185,1),(244,1),(289,1),(314,1)}
       152:{1,4,6,7}:{(119,1),(122,1),(129,1),(175,1),(187,1),(191,1),(282,1),(307,1)}
       153:{1,2,5,7}:{(120,1),(124,1),(176,1),(184,1),(188,1),(288,1)}
       154:{2,3,5,7}:{(120,1),(121,1),(125,1),(177,1),(185,1),(188,1),(189,1),(241,1),(248,1),(288,1)}
       155:{1,3,4,7}:{(121,1),(122,1),(126,1),(130,1),(178,1),(189,1),(236,1),(282,1),(305,1)}
       156:{1,4,5,7}:{(122,1),(123,1),(127,1),(131,1),(179,1),(191,1)}
       157:{1,3,5,6}:{(123,1),(132,1),(180,1),(191,1),(244,1),(289,1),(290,1)}
       158:{1,3,5,6}:{(124,1),(125,1),(181,1),(188,1),(192,1),(246,1),(289,1),(290,1)}
       159:{2,4,6}:{(125,1),(126,1),(189,1),(192,1),(193,1)}
       160:{1,3,4,5}:{(126,1),(127,1),(133,1),(183,1),(193,1),(246,1),(276,1),(303,1),(313,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(130,1),(194,1),(196,1),(305,1),(314,1)}
       162:{2,4,5,7}:{(129,1),(187,1),(194,1),(195,1),(248,1)}
       163:{3,4,5,7}:{(130,1),(131,1),(133,1),(194,1),(196,1)}
       164:{2,4,6}:{(131,1),(132,1),(191,1),(196,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(138,1),(197,1),(225,1),(272,1)}
       166:{1,4,5,6}:{(134,1),(139,1),(197,1),(198,1),(292,1)}
       167:{1,3,4,6}:{(135,1),(136,1),(197,1),(199,1),(254,1),(255,1),(273,1),(292,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(143,1),(199,1),(201,1),(204,1),(261,1),(293,1)}
       169:{1,2,4,5}:{(137,1),(146,1),(202,1),(224,1),(259,1),(270,1)}
       170:{2,3,5}:{(137,1),(147,1),(202,1),(203,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(140,1),(197,1),(204,1),(205,1),(271,1)}
       172:{2,4,5,7}:{(139,1),(141,1),(198,1),(204,1),(205,1),(261,1)}
       173:{2,4,6,7}:{(140,1),(143,1),(150,1),(199,1),(204,1),(207,1),(261,1)}
       174:{3,6,7}:{(141,1),(205,1)}
       175:{2,4,6,7}:{(142,1),(144,1),(152,1),(208,1),(209,1),(213,1),(261,1),(298,1)}
       176:{1,2,4,7}:{(143,1),(146,1),(153,1),(210,1),(221,1),(267,1)}
       177:{2,3,7}:{(143,1),(147,1),(210,1)}
       178:{3,4,7}:{(144,1),(148,1),(212,1)}
       179:{2,4,5,7}:{(144,1),(145,1),(149,1),(156,1),(212,1),(213,1)}
       180:{2,5,6}:{(145,1),(157,1),(213,1),(301,1)}
       181:{1,3,6}:{(146,1),(147,1),(202,1),(210,1),(214,1)}
       182:{2,3,4,6}:{(147,1),(148,1),(159,1),(203,1),(211,1),(215,1),(216,1),(269,1),(309,1)}
       183:{3,5}:{(148,1),(149,1)}
       184:{1,2,6,7}:{(150,1),(153,1),(217,1),(301,1)}
       185:{2,3,6,7}:{(150,1),(151,1),(154,1),(217,1),(218,1),(269,1),(301,1)}
       186:{1,3,4,6,7}:{(151,1),(152,1),(155,1),(161,1),(208,1),(218,1),(219,1),(223,1)}
       187:{1,4,5,7}:{(152,1),(162,1),(209,1),(219,1),(220,1),(271,1)}
       188:{1,3,5,7}:{(153,1),(154,1),(158,1),(210,1),(217,1),(221,1),(271,1)}
       189:{2,4,7}:{(154,1),(155,1),(159,1),(221,1)}
       190:{1,3,4,5,7}:{(155,1),(156,1),(160,1),(163,1),(212,1),(219,1),(222,1),(223,1),(262,1),(268,1),(297,1),(311,1)}
       191:{1,4,6}:{(156,1),(157,1),(164,1),(213,1)}
       192:{1,4,6}:{(158,1),(159,1),(221,1),(224,1)}
       193:{2,4,5}:{(159,1),(160,1),(216,1),(224,1),(270,1)}
       194:{3,5,7}:{(161,1),(162,1),(225,1)}
       195:{2,4,5,6}:{(162,1),(164,1),(220,1),(225,1),(272,1),(312,1)}
       196:{3,4,6}:{(163,1),(164,1),(225,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(171,1),(226,1),(227,1),(290,1)}
       198:{2,4,5,6}:{(166,1),(172,1),(226,1),(227,1),(275,1)}
       199:{2,4,6}:{(167,1),(168,1),(226,1),(229,1)}
       200:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(228,1),(230,1),(234,1),(250,1),(280,1),(282,1),(288,1),(303,1),(304,1),(306,1)}
       201:{2,3,5,7}:{(168,1),(170,1),(177,1),(229,1),(230,1),(231,1),(279,1)}
       202:{1,3,5}:{(169,1),(170,1),(181,1),(232,1),(233,1)}
       203:{2,3,4}:{(170,1),(233,1)}
       204:{2,5,7}:{(171,1),(173,1),(226,1)}
       205:{3,5,7}:{(172,1),(174,1),(227,1),(236,1)}
       206:{1,2,4,6,7}:{(173,1),(176,1),(184,1),(228,1),(234,1),(237,1),(247,1),(282,1),(285,1)}
       207:{2,3,6,7}:{(173,1),(174,1),(177,1),(229,1),(235,1),(237,1)}
       208:{3,4,6,7}:{(174,1),(175,1),(178,1),(236,1),(239,1),(244,1),(284,1)}
       209:{2,4,5,7}:{(175,1),(187,1),(239,1),(240,1),(248,1)}
       210:{1,3,7}:{(176,1),(177,1),(181,1),(241,1)}
       211:{2,3,4,7}:{(177,1),(178,1),(182,1),(189,1),(242,1),(243,1),(305,1)}
       212:{3,5,7}:{(178,1),(179,1),(183,1),(244,1)}
       213:{2,4,6}:{(179,1),(180,1),(191,1),(244,1)}
       214:{2,3,6}:{(181,1),(232,1),(241,1),(245,1)}
       215:{1,3,4,6}:{(181,1),(182,1),(192,1),(233,1),(242,1),(245,1),(246,1),(289,1)}
       216:{2,3,5}:{(182,1),(183,1),(193,1),(246,1),(313,1)}
       217:{1,3,6,7}:{(184,1),(185,1),(188,1),(247,1),(289,1)}
       218:{2,4,6,7}:{(185,1),(186,1),(189,1),(247,1),(248,1),(251,1)}
       219:{1,3,5,7}:{(186,1),(187,1),(194,1),(239,1),(248,1),(249,1)}
       220:{1,4,5,6}:{(187,1),(191,1),(195,1),(240,1),(249,1),(290,1),(307,1)}
       221:{1,4,7}:{(188,1),(189,1),(192,1)}
       222:{2,4,5,7}:{(189,1),(190,1),(193,1),(243,1),(248,1),(250,1),(251,1),(288,1)}
       223:{1,3,4,6}:{(190,1),(191,1),(196,1),(244,1),(249,1),(251,1),(284,1),(289,1),(307,1),(314,1)}
       224:{1,4,5}:{(192,1),(193,1),(246,1)}
       225:{3,5,6}:{(194,1),(195,1),(196,1),(314,1)}
       226:{2,5,6}:{(197,1),(199,1),(204,1)}
       227:{3,5,6}:{(198,1),(205,1),(254,1)}
       228:{1,2,4,6}:{(199,1),(200,1),(252,1),(255,1),(273,1),(292,1),(294,1),(301,1),(312,1)}
       229:{2,3,6}:{(199,1),(201,1),(255,1)}
       230:{1,3,5,7}:{(200,1),(201,1),(202,1),(210,1),(255,1),(257,1),(258,1),(295,1),(311,1)}
       231:{2,3,4,7}:{(201,1),(203,1),(256,1),(258,1),(261,1)}
       232:{2,3,5}:{(202,1),(214,1),(259,1),(270,1)}
       233:{1,3,4}:{(202,1),(203,1),(259,1)}
       234:{1,2,5,7}:{(204,1),(206,1),(252,1),(260,1),(271,1),(299,1)}
       235:{2,3,5,7}:{(204,1),(205,1),(207,1),(253,1),(260,1),(261,1)}
       236:{3,4,7}:{(205,1),(254,1),(261,1)}
       237:{1,3,6,7}:{(206,1),(207,1),(210,1),(255,1),(260,1),(263,1)}
       238:{2,3,4,6,7}:{(207,1),(208,1),(211,1),(218,1),(256,1),(261,1),(264,1),(265,1),(269,1),(298,1)}
       239:{3,5,7}:{(208,1),(209,1),(266,1)}
       240:{2,4,5,6}:{(209,1),(213,1),(220,1),(266,1),(272,1),(298,1)}
       241:{2,3,7}:{(210,1),(214,1),(267,1)}
       242:{1,3,4,7}:{(210,1),(211,1),(215,1),(221,1),(267,1),(268,1)}
       243:{2,3,5,7}:{(211,1),(212,1),(216,1),(222,1),(268,1),(269,1),(311,1)}
       244:{3,6}:{(212,1),(213,1)}
       245:{2,4,6}:{(214,1),(215,1),(259,1),(267,1),(270,1),(301,1)}
       246:{1,3,5}:{(215,1),(216,1),(224,1),(270,1)}
       247:{1,4,6,7}:{(217,1),(218,1),(221,1),(271,1),(273,1)}
       248:{2,5,7}:{(218,1),(219,1),(271,1),(272,1)}
       249:{1,3,5,6}:{(219,1),(220,1),(223,1),(225,1),(266,1),(272,1)}
       250:{1,4,5,7}:{(221,1),(222,1),(224,1),(268,1),(271,1),(273,1)}
       251:{2,4,6}:{(222,1),(223,1),(269,1),(272,1),(273,1),(301,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(234,1),(274,1),(290,1),(304,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(235,1),(274,1),(275,1),(279,1)}
       254:{3,4,6}:{(227,1),(236,1),(275,1),(276,1)}
       255:{1,3,6}:{(228,1),(229,1),(230,1),(277,1),(314,1)}
       256:{2,3,4,6}:{(229,1),(231,1),(275,1),(278,1),(279,1)}
       257:{2,3,5,7}:{(230,1),(232,1),(241,1),(277,1),(280,1),(288,1),(304,1)}
       258:{1,3,4,7}:{(230,1),(231,1),(233,1),(278,1),(280,1),(282,1),(305,1)}
       259:{2,4}:{(232,1),(233,1)}
       260:{1,3,5,7}:{(234,1),(235,1),(237,1),(274,1),(281,1),(282,1)}
       261:{2,4,7}:{(235,1),(236,1),(275,1),(282,1)}
       262:{3,4,5,7}:{(236,1),(239,1),(276,1),(283,1),(284,1)}
       263:{2,3,6,7}:{(237,1),(241,1),(277,1),(281,1),(285,1),(314,1)}
       264:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(247,1),(278,1),(282,1),(285,1),(286,1),(289,1),(305,1),(307,1),(314,1)}
       265:{2,3,5,7}:{(238,1),(239,1),(248,1),(279,1),(283,1),(286,1),(287,1)}
       266:{3,5,6}:{(239,1),(240,1),(244,1),(284,1)}
       267:{2,4,7}:{(241,1),(242,1),(245,1),(288,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(246,1),(250,1),(288,1),(289,1)}
       269:{2,3,6}:{(243,1),(244,1),(251,1),(289,1),(314,1)}
       270:{2,5}:{(245,1),(246,1)}
       271:{1,5,7}:{(247,1),(248,1),(290,1)}
       272:{2,5,6}:{(248,1),(249,1),(251,1),(290,1)}
       273:{1,4,6}:{(250,1),(251,1),(289,1),(290,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(260,1),(291,1),(292,1),(295,1)}
       275:{2,4,6}:{(253,1),(254,1),(261,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,6}:{(255,1),(257,1),(294,1),(301,1)}
       278:{1,3,4,6}:{(255,1),(256,1),(258,1),(292,1),(294,1),(295,1),(309,1)}
       279:{2,3,5}:{(256,1),(293,1),(295,1)}
       280:{2,4,7}:{(257,1),(258,1),(259,1),(294,1)}
       281:{2,3,5,7}:{(260,1),(263,1),(291,1),(296,1),(299,1),(311,1)}
       282:{1,4,7}:{(260,1),(261,1),(292,1),(296,1)}
       283:{2,4,5,7}:{(261,1),(262,1),(265,1),(293,1),(297,1),(298,1)}
       284:{3,4,6}:{(262,1),(266,1),(298,1)}
       285:{2,4,6,7}:{(263,1),(264,1),(267,1),(294,1),(296,1),(299,1),(301,1),(312,1)}
       286:{1,3,5,7}:{(264,1),(265,1),(271,1),(295,1),(297,1),(299,1),(300,1),(311,1)}
       287:{2,3,5,6}:{(265,1),(266,1),(269,1),(272,1),(298,1),(300,1)}
       288:{2,5,7}:{(267,1),(268,1),(270,1),(301,1)}
       289:{1,3,6}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,5,6}:{(271,1),(272,1),(273,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(281,1),(302,1),(304,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(282,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(279,1),(303,1)}
       294:{2,4,6}:{(277,1),(278,1),(280,1),(304,1)}
       295:{1,3,5}:{(278,1),(279,1),(303,1),(304,1),(313,1)}
       296:{2,4,7}:{(281,1),(282,1),(302,1),(305,1)}
       297:{1,4,5,7}:{(282,1),(283,1),(286,1),(303,1),(306,1),(307,1)}
       298:{2,4,6}:{(283,1),(284,1),(287,1),(307,1)}
       299:{2,5,7}:{(285,1),(286,1),(304,1),(308,1)}
       300:{1,3,5,6}:{(286,1),(287,1),(289,1),(290,1),(307,1),(308,1),(314,1)}
       301:{2,6}:{(288,1),(289,1)}
       302:{2,4,6}:{(291,1),(292,1),(296,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(295,1),(310,1)}
       304:{2,5}:{(294,1),(295,1)}
       305:{3,4,7}:{(296,1),(309,1),(311,1)}
       306:{2,4,5,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(312,1)}
       307:{1,4,6}:{(297,1),(298,1),(300,1),(312,1)}
       308:{2,5,6}:{(299,1),(300,1),(301,1),(312,1)}
       309:{3,4,6}:{(302,1),(305,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5,7}:{(305,1),(306,1),(313,1),(314,1)}
       312:{2,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1877 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1878 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1879 :  0:{1,3,4,6,7}:{(1,1),(2,1),(8,1),(11,1),(25,1),(26,1),(28,1),(41,1),(42,1)}
        1:{2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(15,1),(17,1),(19,1),(34,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(21,1),(47,1)}
        3:{2,3,6,7}:{(1,1),(8,1),(9,1),(28,1),(42,1),(44,1),(55,1)}
        4:{1,3,5,6}:{(2,1),(10,1),(11,1),(28,1)}
        5:{1,4,6,7}:{(1,1),(8,1),(12,1),(25,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(10,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(11,1),(13,1),(25,1),(38,1),(45,1)}
        8:{1,3,6,7}:{(3,1),(5,1),(15,1),(16,1),(36,1),(52,1),(61,1)}
        9:{2,3,5,7}:{(3,1),(6,1),(14,1),(16,1),(17,1),(21,1),(37,1),(50,1),(59,1)}
       10:{2,5,6}:{(4,1),(6,1),(18,1),(19,1)}
       11:{1,4,6}:{(4,1),(7,1),(19,1),(52,1)}
       12:{1,5,7}:{(5,1),(6,1),(18,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(17,1),(19,1),(20,1),(21,1),(30,1),(34,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(9,1),(10,1),(22,1),(23,1),(28,1),(39,1),(44,1),(54,1),(55,1)}
       15:{2,6,7}:{(8,1),(24,1),(44,1),(65,1)}
       16:{1,3,5,7}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(42,1),(45,1),(57,1),(64,1)}
       17:{2,4,7}:{(9,1),(23,1),(25,1),(26,1),(63,1)}
       18:{1,5,6}:{(10,1),(12,1),(27,1)}
       19:{2,4,6}:{(10,1),(11,1),(13,1),(27,1),(28,1),(44,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(26,1),(28,1),(39,1),(42,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(18,1),(31,1),(32,1),(36,1),(47,1),(48,1),(52,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(17,1),(30,1),(32,1),(33,1)}
       24:{2,5,7}:{(15,1),(16,1),(31,1),(34,1),(62,1),(67,1)}
       25:{1,4,7}:{(16,1),(17,1),(32,1),(34,1),(66,1)}
       26:{3,4,7}:{(17,1),(21,1),(33,1),(58,1)}
       27:{1,4,6}:{(18,1),(19,1),(20,1),(36,1)}
       28:{3,6}:{(19,1),(21,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(35,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(24,1),(40,1),(44,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(26,1),(28,1),(39,1)}
       34:{2,4,7}:{(24,1),(25,1),(40,1),(42,1),(68,1)}
       35:{1,3,4,7}:{(25,1),(26,1),(29,1),(41,1),(42,1),(43,1),(57,1)}
       36:{1,3,6}:{(27,1),(28,1),(29,1),(44,1)}
       37:{2,5,7}:{(29,1),(43,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(35,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{3,7}:{(34,1),(48,1),(69,1)}
       43:{2,4,7}:{(35,1),(37,1),(49,1),(50,1),(51,1),(62,1)}
       44:{2,6}:{(36,1),(37,1),(52,1)}
       45:{1,5,7}:{(37,1),(51,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(42,1),(53,1)}
       49:{2,4,6}:{(41,1),(43,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{2,3,7}:{(42,1),(43,1),(55,1),(57,1)}
       51:{1,4,7}:{(43,1),(45,1),(56,1),(57,1)}
       52:{1,6}:{(44,1),(45,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(50,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(51,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(50,1),(51,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1880 :   0:{2,3,4,6,7}:{(1,1),(2,1),(12,1),(20,1),(35,1),(52,1),(76,1),(87,1),(92,1),(125,1),(132,1),(195,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(58,1),(63,1),(67,1),(73,1),(103,1),(116,1),(119,1),(161,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(32,1),(71,1),(152,1),(160,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(32,1),(71,1),(72,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(41,1),(84,1),(87,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(43,1),(46,1),(132,1),(146,1),(148,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(47,1),(96,1),(131,1),(186,1)}
         7:{2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(76,1),(124,1)}
         8:{1,3,5,6,7}:{(3,1),(11,1),(18,1),(19,1),(50,1),(51,1),(96,1),(97,1)}
         9:{2,4,6,7}:{(3,1),(12,1),(17,1),(19,1),(20,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(53,1),(56,1),(58,1),(73,1),(123,1),(161,1),(162,1),(166,1),(174,1),(210,1),(233,1),(241,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(63,1),(112,1),(116,1)}
        12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(28,1),(63,1),(104,1),(173,1),(233,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(160,1)}
        15:{1,4,5,7}:{(6,1),(7,1),(25,1),(29,1),(58,1),(102,1)}
        16:{3,4,5,7}:{(7,1),(26,1),(32,1),(101,1),(152,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(31,1),(32,1),(71,1),(174,1)}
        18:{2,5,6,7}:{(8,1),(24,1),(33,1),(71,1),(123,1)}
        19:{1,4,6,7}:{(8,1),(9,1),(25,1),(31,1),(33,1)}
        20:{3,4,6,7}:{(9,1),(26,1),(32,1)}
        21:{1,3,6,7}:{(10,1),(13,1),(35,1),(38,1),(78,1),(133,1),(190,1),(195,1),(244,1)}
        22:{1,2,5,7}:{(10,1),(14,1),(36,1),(38,1),(75,1),(96,1),(150,1),(186,1),(223,1),(239,1)}
        23:{2,4,5,6}:{(12,1),(17,1),(40,1),(41,1),(84,1),(124,1),(192,1)}
        24:{2,5,6}:{(11,1),(14,1),(43,1),(146,1)}
        25:{1,4,6}:{(11,1),(12,1),(15,1),(43,1)}
        26:{3,4,6}:{(12,1),(16,1),(41,1)}
        27:{2,3,4,6,7}:{(13,1),(37,1),(45,1),(46,1),(86,1),(90,1),(129,1),(132,1),(147,1),(181,1),(188,1),(244,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(46,1),(47,1),(239,1),(244,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(43,1),(46,1),(47,1),(85,1)}
        30:{1,3,4,5,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(50,1),(81,1),(93,1),(94,1),(131,1),(139,1),(149,1),(191,1),(195,1),(225,1)}
        31:{1,4,5,7}:{(17,1),(19,1),(40,1),(49,1),(50,1),(96,1),(149,1)}
        32:{3,5,7}:{(17,1),(20,1),(41,1),(195,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(51,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(50,1),(51,1),(52,1),(94,1),(97,1),(149,1),(195,1)}
        35:{2,3,6,7}:{(21,1),(53,1),(54,1),(104,1),(123,1),(155,1),(205,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(55,1),(56,1),(99,1),(112,1),(160,1),(162,1),(169,1),(207,1),(208,1),(231,1)}
        37:{1,3,4,6,7}:{(21,1),(27,1),(53,1),(57,1),(58,1),(101,1),(103,1),(106,1),(155,1),(157,1),(161,1),(203,1),(210,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(28,1),(54,1),(55,1),(58,1)}
        39:{1,2,4,5,7}:{(22,1),(29,1),(56,1),(58,1),(59,1),(69,1),(100,1),(102,1),(108,1),(120,1),(160,1),(165,1),(166,1),(174,1),(204,1),(208,1),(211,1),(229,1),(234,1),(241,1)}
        40:{1,4,5,6}:{(23,1),(25,1),(31,1),(60,1),(61,1),(102,1),(112,1),(168,1)}
        41:{3,5,6}:{(23,1),(26,1),(32,1),(152,1),(212,1)}
        42:{2,3,5,6}:{(24,1),(28,1),(55,1),(62,1),(63,1),(104,1),(114,1),(160,1),(231,1),(232,1),(242,1)}
        43:{2,4,6}:{(24,1),(25,1),(29,1),(63,1)}
        44:{1,3,4,6}:{(25,1),(26,1),(30,1),(61,1),(63,1),(64,1),(110,1),(116,1),(168,1),(212,1)}
        45:{2,3,5,7}:{(27,1),(57,1),(65,1),(66,1),(114,1),(160,1),(170,1),(206,1)}
        46:{2,4,7}:{(28,1),(58,1),(62,1),(67,1)}
        47:{3,5,7}:{(29,1),(63,1),(67,1),(114,1)}
        48:{2,4,5,7}:{(30,1),(64,1),(68,1),(69,1),(71,1),(108,1),(120,1),(121,1),(160,1),(167,1),(174,1),(211,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(60,1),(70,1),(71,1),(121,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(61,1),(70,1),(71,1)}
        51:{3,6,7}:{(33,1),(63,1),(70,1)}
        52:{2,4,6,7}:{(34,1),(64,1),(71,1),(72,1),(73,1),(121,1),(123,1),(174,1)}
        53:{2,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(127,1),(132,1),(183,1),(222,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(74,1),(75,1),(76,1),(128,1),(150,1),(195,1)}
        55:{1,3,5,6}:{(36,1),(38,1),(42,1),(74,1),(77,1),(78,1),(131,1),(133,1),(186,1),(224,1)}
        56:{1,2,4,6}:{(36,1),(39,1),(43,1),(77,1),(78,1),(88,1),(127,1),(132,1),(146,1),(189,1),(192,1),(222,1),(237,1)}
        57:{1,3,5,7}:{(37,1),(45,1),(75,1),(79,1),(80,1),(128,1),(131,1),(186,1),(223,1)}
        58:{1,4,7}:{(38,1),(46,1),(76,1),(77,1)}
        59:{1,3,5,7}:{(39,1),(47,1),(78,1),(81,1),(82,1),(128,1),(131,1),(190,1),(195,1),(224,1),(225,1),(238,1),(244,1)}
        60:{2,4,5,6}:{(40,1),(43,1),(49,1),(83,1),(84,1),(85,1),(140,1)}
        61:{1,3,5,6}:{(40,1),(41,1),(44,1),(50,1),(83,1),(84,1),(131,1)}
        62:{2,4,6}:{(42,1),(46,1),(77,1),(85,1),(86,1),(240,1)}
        63:{3,6}:{(43,1),(47,1)}
        64:{2,4,6}:{(44,1),(48,1),(84,1),(87,1),(88,1),(146,1)}
        65:{2,3,5,6}:{(45,1),(79,1),(90,1),(143,1),(181,1),(185,1)}
        66:{2,4,5,7}:{(45,1),(46,1),(80,1),(85,1),(90,1),(91,1)}
        67:{3,4,7}:{(46,1),(47,1),(86,1),(244,1)}
        68:{2,3,5,7}:{(47,1),(48,1),(87,1),(92,1),(93,1),(144,1),(195,1),(225,1)}
        69:{1,4,5,7}:{(48,1),(88,1),(93,1),(96,1),(137,1),(149,1),(186,1),(191,1)}
        70:{3,5,7}:{(49,1),(51,1),(83,1),(94,1)}
        71:{2,5,7}:{(50,1),(52,1),(84,1),(96,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(87,1),(95,1),(97,1),(195,1)}
        73:{1,4,6,7}:{(52,1),(88,1),(96,1),(97,1),(149,1)}
        74:{2,3,5,6}:{(54,1),(55,1),(98,1),(99,1),(104,1),(152,1),(155,1),(160,1),(169,1),(212,1),(213,1)}
        75:{2,5,7}:{(53,1),(57,1),(99,1),(160,1)}
        76:{2,4,7}:{(54,1),(58,1),(98,1),(101,1)}
        77:{1,4,6}:{(55,1),(58,1),(62,1),(98,1),(102,1),(234,1)}
        78:{1,3,6}:{(56,1),(59,1),(63,1),(104,1),(155,1),(212,1),(242,1)}
        79:{1,3,5,6}:{(57,1),(65,1),(99,1),(106,1),(155,1),(203,1),(207,1)}
        80:{1,4,5,7}:{(57,1),(58,1),(66,1),(100,1),(102,1),(106,1)}
        81:{1,3,4,7}:{(58,1),(59,1),(67,1),(101,1),(103,1),(108,1),(234,1),(235,1),(243,1)}
        82:{2,3,5,7}:{(59,1),(104,1),(108,1),(109,1),(120,1),(160,1),(173,1),(204,1),(205,1),(213,1),(232,1)}
        83:{3,5,6}:{(60,1),(63,1),(70,1),(110,1),(114,1)}
        84:{2,5,6}:{(61,1),(64,1),(71,1),(112,1),(160,1)}
        85:{2,4,5}:{(62,1),(102,1),(114,1),(160,1)}
        86:{3,4,6}:{(62,1),(63,1),(67,1),(114,1),(242,1),(243,1)}
        87:{2,3,6}:{(63,1),(64,1),(68,1),(116,1),(212,1)}
        88:{1,4,6}:{(64,1),(69,1),(112,1),(116,1)}
        89:{2,3,5,6,7}:{(65,1),(105,1),(117,1),(170,1),(202,1),(206,1)}
        90:{2,4,6}:{(65,1),(66,1),(106,1),(118,1)}
        91:{3,4,5,7}:{(66,1),(67,1),(114,1),(118,1),(170,1)}
        92:{2,3,4,7}:{(67,1),(68,1),(108,1),(115,1),(119,1),(121,1),(205,1),(235,1)}
        93:{1,3,5,7}:{(68,1),(69,1),(116,1),(119,1),(120,1),(171,1)}
        94:{3,4,7}:{(70,1),(110,1),(121,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(72,1),(111,1),(121,1),(122,1)}
        96:{1,5,7}:{(71,1),(73,1),(112,1)}
        97:{1,3,6,7}:{(72,1),(73,1),(116,1),(122,1),(123,1)}
        98:{2,4,6}:{(74,1),(76,1),(77,1),(124,1),(125,1),(226,1)}
        99:{2,5,6}:{(75,1),(79,1),(127,1),(222,1)}
       100:{2,4,5,7}:{(75,1),(76,1),(80,1),(124,1),(127,1),(128,1)}
       101:{3,4,7}:{(76,1),(125,1),(128,1),(195,1)}
       102:{1,4,5}:{(77,1),(85,1),(124,1),(131,1),(186,1)}
       103:{1,3,4,6}:{(77,1),(78,1),(81,1),(86,1),(125,1),(131,1),(132,1)}
       104:{2,3,6}:{(78,1),(82,1),(132,1),(133,1),(146,1),(222,1)}
       105:{1,3,5,6,7}:{(79,1),(89,1),(126,1),(134,1),(180,1),(184,1),(221,1),(223,1)}
       106:{1,4,6}:{(79,1),(80,1),(90,1),(127,1)}
       107:{1,3,4,5,7}:{(80,1),(81,1),(91,1),(128,1),(131,1),(135,1),(136,1),(175,1),(182,1),(184,1),(214,1),(216,1),(236,1),(238,1),(244,1)}
       108:{2,4,7}:{(81,1),(82,1),(132,1),(137,1),(226,1),(240,1)}
       109:{1,3,5,7}:{(82,1),(133,1),(137,1),(138,1),(186,1),(190,1),(224,1)}
       110:{3,4,6}:{(83,1),(94,1),(139,1),(140,1)}
       111:{2,3,5,6}:{(83,1),(84,1),(87,1),(95,1),(140,1),(141,1),(144,1)}
       112:{1,5,6}:{(84,1),(88,1),(96,1),(186,1)}
       113:{2,4,5,6}:{(85,1),(90,1),(130,1),(142,1),(143,1),(185,1),(237,1)}
       114:{3,5}:{(85,1),(86,1)}
       115:{2,3,4,6}:{(86,1),(87,1),(92,1),(132,1),(140,1),(144,1),(145,1),(220,1),(240,1)}
       116:{1,3,6}:{(87,1),(88,1),(93,1),(146,1)}
       117:{2,4,6,7}:{(89,1),(90,1),(134,1),(142,1),(147,1)}
       118:{3,4,6}:{(90,1),(91,1),(143,1)}
       119:{1,3,4,7}:{(92,1),(93,1),(137,1),(145,1),(148,1),(149,1),(190,1),(195,1)}
       120:{2,5,7}:{(93,1),(146,1),(148,1),(193,1)}
       121:{2,4,7}:{(94,1),(95,1),(140,1),(149,1)}
       122:{1,3,5,7}:{(95,1),(96,1),(97,1),(141,1),(149,1),(150,1),(195,1)}
       123:{2,6,7}:{(97,1),(146,1),(150,1)}
       124:{2,4,5}:{(98,1),(102,1),(152,1),(160,1)}
       125:{3,4,6}:{(98,1),(101,1),(152,1),(155,1),(212,1),(235,1)}
       126:{2,5,6,7}:{(99,1),(105,1),(154,1),(206,1),(233,1)}
       127:{2,4,6}:{(99,1),(100,1),(106,1),(155,1)}
       128:{3,5,7}:{(100,1),(101,1),(152,1),(155,1)}
       129:{2,3,4,7}:{(101,1),(108,1),(153,1),(156,1),(157,1),(173,1),(227,1),(243,1)}
       130:{1,4,5,6}:{(102,1),(106,1),(113,1),(151,1),(158,1),(159,1),(207,1),(228,1)}
       131:{1,3,5}:{(102,1),(103,1),(114,1),(152,1),(160,1)}
       132:{2,4,6}:{(103,1),(104,1),(108,1),(160,1),(161,1)}
       133:{1,3,6}:{(104,1),(109,1),(161,1),(162,1)}
       134:{1,4,6,7}:{(105,1),(106,1),(117,1),(154,1),(158,1)}
       135:{1,3,4,6}:{(106,1),(107,1),(118,1),(155,1),(159,1),(164,1),(196,1),(203,1),(228,1),(242,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(156,1),(160,1),(164,1),(165,1),(197,1),(204,1),(206,1),(227,1),(229,1),(241,1)}
       137:{1,4,7}:{(108,1),(109,1),(161,1),(234,1)}
       138:{1,2,5,7}:{(109,1),(120,1),(162,1),(166,1),(204,1),(208,1)}
       139:{3,4,5}:{(110,1),(114,1),(167,1),(243,1)}
       140:{2,4,6}:{(110,1),(111,1),(121,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(116,1),(122,1),(168,1),(169,1),(171,1),(212,1)}
       142:{2,4,5,7}:{(113,1),(117,1),(158,1),(170,1),(206,1),(241,1)}
       143:{3,5,6}:{(113,1),(114,1),(118,1),(170,1),(242,1)}
       144:{2,3,5}:{(114,1),(115,1),(160,1),(167,1),(171,1)}
       145:{1,3,4,6}:{(115,1),(116,1),(119,1),(161,1),(168,1),(171,1),(172,1),(209,1),(212,1),(234,1),(235,1)}
       146:{2,6}:{(116,1),(120,1)}
       147:{3,4,6,7}:{(117,1),(118,1),(170,1)}
       148:{2,4,7}:{(119,1),(120,1),(172,1),(173,1)}
       149:{1,4,7}:{(121,1),(122,1),(168,1),(174,1)}
       150:{2,5,7}:{(122,1),(123,1),(169,1),(174,1)}
       151:{2,4,5,6}:{(124,1),(127,1),(130,1),(176,1),(177,1),(185,1),(215,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(129,1),(132,1),(178,1),(179,1),(181,1),(194,1),(215,1),(226,1)}
       154:{2,4,6,7}:{(126,1),(127,1),(134,1),(176,1),(180,1)}
       155:{3,6}:{(127,1),(128,1)}
       156:{2,3,5,7}:{(128,1),(129,1),(136,1),(178,1),(181,1),(182,1),(238,1),(244,1)}
       157:{1,3,4,7}:{(129,1),(137,1),(179,1),(182,1),(183,1),(190,1),(236,1),(244,1)}
       158:{1,4,5,7}:{(130,1),(134,1),(142,1),(176,1),(184,1),(223,1),(236,1)}
       159:{1,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(177,1),(184,1),(185,1)}
       160:{2,5}:{(131,1),(132,1),(186,1)}
       161:{1,4,6}:{(132,1),(133,1),(137,1),(186,1)}
       162:{1,2,6}:{(133,1),(138,1),(146,1),(222,1)}
       163:{1,3,4,6,7}:{(134,1),(135,1),(147,1),(180,1),(184,1),(188,1),(214,1),(221,1),(236,1),(244,1)}
       164:{2,4,6}:{(135,1),(136,1),(181,1),(185,1),(189,1),(222,1)}
       165:{1,4,5,7}:{(136,1),(137,1),(182,1),(186,1),(189,1),(216,1),(223,1),(236,1)}
       166:{1,2,4,7}:{(137,1),(138,1),(148,1),(183,1),(187,1),(190,1)}
       167:{2,4,5}:{(139,1),(140,1),(144,1),(191,1),(240,1)}
       168:{1,4,6}:{(140,1),(141,1),(149,1),(191,1),(192,1)}
       169:{2,5,6}:{(141,1),(146,1),(150,1),(192,1),(193,1)}
       170:{3,5,7}:{(142,1),(143,1),(147,1),(244,1)}
       171:{1,3,5}:{(144,1),(145,1),(186,1),(191,1),(193,1),(225,1)}
       172:{2,4,6}:{(145,1),(146,1),(148,1),(193,1),(194,1),(226,1)}
       173:{2,3,7}:{(148,1),(190,1),(194,1),(195,1)}
       174:{2,4,7}:{(149,1),(150,1),(192,1),(195,1)}
       175:{3,4,5}:{(152,1),(196,1),(197,1),(235,1)}
       176:{2,4,5,7}:{(151,1),(154,1),(158,1),(198,1),(206,1),(227,1)}
       177:{3,5,6}:{(151,1),(152,1),(155,1),(196,1),(198,1)}
       178:{2,3,5}:{(152,1),(153,1),(160,1),(197,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(157,1),(161,1),(200,1),(201,1),(203,1),(209,1),(228,1),(234,1),(242,1),(243,1)}
       180:{3,6,7}:{(154,1),(155,1),(198,1)}
       181:{2,3,6}:{(155,1),(156,1),(164,1),(203,1),(242,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(165,1),(200,1),(203,1),(204,1)}
       183:{2,4,7}:{(157,1),(201,1),(204,1),(205,1)}
       184:{1,3,5,7}:{(158,1),(159,1),(163,1),(170,1),(198,1),(206,1)}
       185:{2,5,6}:{(159,1),(160,1),(164,1),(206,1),(207,1)}
       186:{1,5}:{(160,1),(161,1)}
       187:{1,2,4,6}:{(161,1),(162,1),(166,1),(172,1),(201,1),(208,1),(209,1),(234,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(202,1),(206,1),(210,1),(227,1),(233,1),(241,1)}
       189:{1,4,6}:{(164,1),(165,1),(203,1),(207,1)}
       190:{1,3,7}:{(166,1),(173,1),(205,1),(209,1)}
       191:{1,4,5}:{(167,1),(168,1),(171,1),(211,1),(234,1)}
       192:{2,4,6}:{(168,1),(169,1),(174,1),(211,1),(212,1)}
       193:{2,5}:{(171,1),(172,1)}
       194:{2,3,6}:{(172,1),(173,1),(209,1),(212,1),(213,1)}
       195:{3,7}:{(174,1),(212,1)}
       196:{3,4,6}:{(175,1),(177,1),(214,1),(215,1)}
       197:{2,4,5}:{(175,1),(178,1),(215,1),(216,1),(226,1)}
       198:{3,5,7}:{(176,1),(177,1),(180,1),(214,1)}
       199:{2,3,5,6}:{(177,1),(178,1),(181,1),(185,1),(215,1),(217,1),(218,1)}
       200:{1,3,5}:{(178,1),(179,1),(186,1),(216,1),(219,1),(238,1)}
       201:{2,4,6}:{(179,1),(183,1),(219,1),(220,1),(222,1),(240,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(188,1),(217,1),(221,1),(244,1)}
       203:{1,3,6}:{(181,1),(182,1),(189,1),(222,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(222,1)}
       205:{2,3,7}:{(183,1),(190,1),(220,1),(244,1)}
       206:{2,5,7}:{(184,1),(185,1),(188,1),(223,1)}
       207:{1,5,6}:{(185,1),(186,1),(189,1),(223,1)}
       208:{1,2,5}:{(186,1),(187,1),(193,1),(219,1),(224,1)}
       209:{1,3,6}:{(187,1),(190,1),(194,1),(220,1),(224,1)}
       210:{1,4,6,7}:{(188,1),(189,1),(221,1),(223,1),(236,1)}
       211:{2,4,5}:{(191,1),(192,1),(193,1),(225,1),(226,1)}
       212:{3,6}:{(192,1),(195,1),(225,1)}
       213:{2,3,5}:{(193,1),(194,1),(224,1),(225,1),(226,1)}
       214:{3,4,7}:{(196,1),(198,1),(227,1)}
       215:{2,4,6}:{(196,1),(197,1),(199,1),(227,1),(228,1)}
       216:{1,4,5}:{(197,1),(200,1),(228,1),(229,1),(234,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(227,1),(230,1)}
       218:{1,3,5,6}:{(199,1),(200,1),(203,1),(207,1),(228,1),(230,1),(231,1),(242,1)}
       219:{2,5}:{(200,1),(201,1)}
       220:{2,3,6}:{(201,1),(205,1),(209,1),(232,1),(242,1)}
       221:{1,3,6,7}:{(202,1),(203,1),(210,1),(230,1),(233,1)}
       222:{2,6}:{(203,1),(204,1)}
       223:{1,5,7}:{(206,1),(207,1),(210,1)}
       224:{1,3,5}:{(208,1),(209,1),(213,1),(232,1),(234,1)}
       225:{3,5}:{(211,1),(212,1),(235,1)}
       226:{2,4}:{(213,1),(234,1),(235,1)}
       227:{2,4,7}:{(214,1),(215,1),(217,1),(236,1)}
       228:{1,4,6}:{(215,1),(216,1),(218,1),(236,1),(237,1)}
       229:{2,4,5}:{(216,1),(219,1),(237,1),(238,1),(240,1)}
       230:{1,3,5,7}:{(217,1),(218,1),(221,1),(223,1),(236,1),(239,1),(244,1)}
       231:{2,5,6}:{(218,1),(219,1),(222,1),(237,1),(239,1)}
       232:{2,3,5}:{(219,1),(220,1),(224,1),(238,1),(240,1)}
       233:{2,6,7}:{(221,1),(222,1),(239,1)}
       234:{1,4}:{(224,1),(226,1),(240,1)}
       235:{3,4}:{(225,1),(226,1)}
       236:{1,4,7}:{(227,1),(228,1),(230,1),(241,1)}
       237:{2,4,6}:{(228,1),(229,1),(231,1),(241,1),(242,1)}
       238:{3,5}:{(229,1),(242,1),(243,1)}
       239:{2,5,7}:{(230,1),(231,1),(233,1),(241,1)}
       240:{2,4}:{(232,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1881 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

1882 :   0:{1,3,5,6,7}:{(1,1),(2,1),(13,1),(14,1),(135,1)}
         1:{2,5,6,7}:{(0,1),(4,1),(5,1),(25,1),(164,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(54,1),(165,1)}
         3:{1,3,4,5,7}:{(9,1),(10,1),(14,1),(31,1),(37,1),(60,1),(73,1),(77,1),(111,1),(125,1),(131,1),(134,1),(175,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(11,1),(40,1),(194,1)}
         5:{2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1),(196,1)}
         6:{1,4,5,7}:{(2,1),(8,1),(12,1),(14,1),(75,1),(77,1)}
         7:{1,3,4,6,7}:{(2,1),(9,1),(13,1),(14,1),(15,1),(37,1),(39,1),(77,1),(131,1)}
         8:{1,4,5,6}:{(6,1),(16,1),(18,1),(89,1),(92,1),(155,1),(165,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(45,1),(47,1),(92,1),(151,1),(165,1),(227,1)}
        10:{2,4,5,7}:{(3,1),(17,1),(19,1),(20,1),(25,1),(48,1),(55,1),(84,1),(95,1),(103,1),(142,1),(153,1)}
        11:{1,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(225,1)}
        12:{2,4,5,7}:{(5,1),(6,1),(16,1),(21,1),(23,1),(25,1),(53,1),(55,1),(103,1)}
        13:{3,6,7}:{(5,1),(23,1),(227,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(18,1),(23,1),(25,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(24,1),(25,1),(26,1),(55,1),(57,1),(103,1)}
        16:{2,4,5,6}:{(8,1),(12,1),(28,1),(29,1),(32,1),(65,1),(67,1),(120,1),(185,1),(196,1)}
        17:{2,3,5,7}:{(10,1),(27,1),(30,1),(31,1),(61,1),(131,1),(175,1),(195,1),(250,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(14,1),(29,1),(32,1),(125,1)}
        19:{2,4,6}:{(9,1),(10,1),(30,1),(32,1),(33,1),(69,1)}
        20:{1,4,5,7}:{(10,1),(31,1),(33,1),(40,1),(77,1),(111,1),(119,1),(182,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(28,1),(35,1),(40,1),(77,1)}
        22:{1,3,6,7}:{(11,1),(13,1),(35,1),(36,1),(251,1)}
        23:{3,5,7}:{(12,1),(13,1),(29,1),(37,1),(131,1)}
        24:{2,3,6,7}:{(13,1),(15,1),(30,1),(36,1),(38,1),(39,1),(131,1)}
        25:{2,5,7}:{(14,1),(15,1),(32,1),(40,1)}
        26:{1,4,6,7}:{(15,1),(33,1),(39,1),(40,1),(77,1)}
        27:{2,3,4,7}:{(17,1),(42,1),(43,1),(55,1),(95,1),(99,1),(136,1),(162,1),(208,1),(223,1)}
        28:{1,4,5,6}:{(16,1),(21,1),(44,1),(49,1),(92,1),(215,1),(225,1)}
        29:{3,5,6}:{(16,1),(23,1),(45,1),(151,1),(218,1),(227,1)}
        30:{2,3,6}:{(17,1),(19,1),(47,1),(151,1),(227,1),(273,1)}
        31:{1,3,5,7}:{(17,1),(20,1),(43,1),(47,1),(48,1),(85,1),(272,1)}
        32:{2,5,6}:{(18,1),(19,1),(25,1),(49,1),(153,1)}
        33:{1,4,6}:{(19,1),(20,1),(47,1),(49,1)}
        34:{1,2,4,5,7}:{(20,1),(48,1),(50,1),(51,1),(58,1),(83,1),(95,1),(103,1),(106,1),(139,1),(142,1),(150,1),(153,1),(155,1),(163,1),(202,1),(205,1),(257,1),(272,1),(294,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(44,1),(52,1),(53,1)}
        36:{2,6,7}:{(22,1),(53,1),(54,1),(273,1)}
        37:{3,4,7}:{(23,1),(45,1),(55,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(25,1),(46,1),(53,1),(55,1),(56,1),(99,1)}
        39:{1,3,6,7}:{(24,1),(26,1),(47,1),(54,1),(56,1),(57,1)}
        40:{1,5,7}:{(25,1),(26,1),(49,1)}
        41:{1,2,4,6,7}:{(26,1),(50,1),(57,1),(58,1),(59,1),(103,1),(105,1),(106,1),(217,1),(259,1),(294,1)}
        42:{2,3,4,6}:{(27,1),(30,1),(61,1),(62,1),(67,1),(115,1),(122,1),(167,1),(168,1),(184,1),(230,1),(243,1)}
        43:{1,3,4,7}:{(27,1),(31,1),(62,1),(63,1),(77,1),(110,1),(119,1),(127,1),(131,1),(249,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(35,1),(64,1),(65,1),(244,1),(251,1)}
        45:{3,4,6}:{(29,1),(37,1),(60,1),(67,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(32,1),(38,1),(61,1),(65,1),(67,1),(68,1),(115,1)}
        47:{1,3,6}:{(30,1),(31,1),(33,1),(69,1),(288,1)}
        48:{2,5,7}:{(31,1),(63,1),(69,1),(112,1)}
        49:{1,5,6}:{(32,1),(33,1),(40,1),(182,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(69,1),(71,1),(72,1),(120,1),(122,1),(124,1),(183,1),(196,1),(232,1),(278,1),(288,1)}
        51:{1,3,5,7}:{(34,1),(70,1),(72,1),(73,1),(110,1),(125,1),(131,1),(172,1),(175,1),(195,1),(277,1),(304,1)}
        52:{1,3,4,7}:{(35,1),(37,1),(64,1),(74,1),(77,1),(127,1),(131,1)}
        53:{2,5,7}:{(35,1),(36,1),(65,1),(74,1),(75,1)}
        54:{1,6,7}:{(36,1),(75,1),(288,1)}
        55:{2,4,7}:{(37,1),(38,1),(67,1),(77,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(68,1),(75,1),(77,1),(78,1),(127,1),(131,1)}
        57:{2,6,7}:{(39,1),(69,1),(78,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(71,1),(78,1),(80,1),(133,1),(190,1),(246,1),(279,1)}
        59:{1,3,6,7}:{(41,1),(72,1),(79,1),(80,1),(131,1),(288,1),(304,1)}
        60:{3,4,5}:{(45,1),(84,1),(218,1),(256,1)}
        61:{2,3,5}:{(42,1),(84,1),(85,1),(153,1),(218,1),(268,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(47,1),(85,1),(86,1),(92,1),(140,1),(146,1),(149,1),(151,1),(199,1),(205,1),(208,1),(267,1)}
        63:{2,4,7}:{(43,1),(48,1),(86,1),(87,1),(158,1)}
        64:{1,3,4,6}:{(44,1),(45,1),(52,1),(82,1),(88,1),(92,1),(146,1),(151,1)}
        65:{2,5,6}:{(44,1),(53,1),(88,1),(89,1),(268,1),(273,1)}
        66:{1,2,5,7}:{(48,1),(83,1),(90,1),(91,1),(139,1),(202,1),(272,1)}
        67:{2,4,6}:{(45,1),(46,1),(55,1),(84,1),(92,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(49,1),(56,1),(85,1),(89,1),(92,1),(93,1),(146,1),(151,1)}
        69:{2,6}:{(47,1),(48,1)}
        70:{2,3,5,7}:{(48,1),(51,1),(87,1),(91,1),(94,1),(95,1),(136,1),(143,1),(153,1),(200,1),(202,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(58,1),(93,1),(96,1),(139,1),(153,1),(164,1),(212,1),(216,1),(258,1)}
        72:{1,3,6}:{(50,1),(51,1),(94,1),(151,1),(227,1),(293,1)}
        73:{1,3,4,7}:{(51,1),(95,1),(97,1),(106,1),(162,1),(205,1),(208,1),(256,1)}
        74:{2,4,7}:{(52,1),(53,1),(88,1),(99,1),(100,1),(158,1)}
        75:{1,5,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,2,6,7}:{(54,1),(57,1),(90,1),(101,1),(102,1),(259,1),(273,1),(300,1)}
        77:{1,4,7}:{(55,1),(56,1),(92,1),(103,1)}
        78:{2,5,7}:{(56,1),(57,1),(93,1),(103,1),(158,1)}
        79:{2,3,6,7}:{(57,1),(59,1),(94,1),(102,1),(104,1),(105,1),(227,1),(259,1),(273,1)}
        80:{1,3,5,7}:{(58,1),(59,1),(96,1),(104,1),(106,1),(222,1),(272,1)}
        81:{1,3,4,6,7}:{(59,1),(97,1),(105,1),(106,1),(107,1),(162,1),(165,1),(227,1)}
        82:{1,3,4,5}:{(60,1),(64,1),(108,1),(111,1),(170,1),(175,1),(235,1),(244,1)}
        83:{1,2,4,7}:{(63,1),(66,1),(109,1),(110,1),(119,1),(169,1),(190,1),(249,1)}
        84:{2,4,5}:{(60,1),(61,1),(67,1),(111,1),(230,1)}
        85:{1,3,5}:{(61,1),(62,1),(111,1),(112,1),(175,1),(182,1),(285,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(112,1),(113,1),(176,1),(179,1),(229,1)}
        87:{2,3,7}:{(63,1),(110,1),(113,1),(131,1)}
        88:{2,4,6}:{(64,1),(65,1),(74,1),(108,1),(115,1),(116,1),(179,1)}
        89:{1,5,6}:{(65,1),(75,1),(116,1),(285,1),(288,1)}
        90:{1,2,6}:{(66,1),(69,1),(118,1),(232,1),(288,1)}
        91:{1,3,5,7}:{(66,1),(70,1),(110,1),(118,1),(119,1),(172,1),(182,1)}
        92:{1,4,6}:{(67,1),(68,1),(77,1),(111,1),(120,1)}
        93:{2,5,6}:{(68,1),(69,1),(78,1),(112,1),(120,1),(179,1)}
        94:{2,3,6}:{(69,1),(70,1),(72,1),(118,1),(122,1),(232,1)}
        95:{2,4,7}:{(70,1),(73,1),(119,1),(122,1),(176,1),(230,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(80,1),(121,1),(124,1),(125,1),(172,1),(242,1),(285,1),(288,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(122,1),(124,1),(125,1),(184,1)}
        98:{1,3,4,5,7}:{(73,1),(123,1),(125,1),(126,1),(134,1),(174,1),(189,1),(195,1),(236,1),(239,1),(277,1),(283,1),(284,1),(304,1)}
        99:{2,3,7}:{(74,1),(115,1),(127,1),(131,1)}
       100:{1,4,7}:{(74,1),(75,1),(116,1),(127,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(78,1),(117,1),(128,1),(129,1),(250,1),(279,1),(307,1)}
       102:{1,3,6,7}:{(76,1),(79,1),(118,1),(129,1),(130,1),(251,1)}
       103:{2,4,7}:{(77,1),(78,1),(120,1),(131,1)}
       104:{2,3,5,7}:{(78,1),(79,1),(80,1),(121,1),(129,1),(131,1),(132,1),(133,1),(191,1),(195,1),(250,1),(279,1),(304,1)}
       105:{2,4,6,7}:{(79,1),(81,1),(122,1),(130,1),(132,1),(133,1),(196,1)}
       106:{1,4,7}:{(80,1),(124,1),(132,1)}
       107:{1,3,5,7}:{(81,1),(125,1),(133,1),(134,1),(135,1),(195,1)}
       108:{2,4,5}:{(82,1),(88,1),(137,1),(138,1),(203,1),(261,1),(268,1)}
       109:{1,2,4,6}:{(83,1),(86,1),(90,1),(139,1),(140,1),(149,1),(201,1),(205,1),(212,1),(254,1),(267,1)}
       110:{1,3,7}:{(83,1),(87,1),(136,1),(140,1)}
       111:{1,4,5}:{(84,1),(85,1),(92,1),(142,1),(205,1)}
       112:{2,5}:{(85,1),(86,1)}
       113:{2,3,6}:{(86,1),(87,1),(140,1),(143,1),(151,1),(255,1)}
       114:{2,3,4,7}:{(87,1),(95,1),(141,1),(144,1),(145,1),(162,1),(223,1),(256,1),(266,1),(310,1)}
       115:{2,3,6}:{(88,1),(99,1),(137,1),(146,1),(151,1)}
       116:{1,4,6}:{(88,1),(89,1),(100,1),(138,1),(146,1)}
       117:{1,2,5,6}:{(89,1),(90,1),(93,1),(101,1),(139,1),(147,1),(148,1),(258,1),(268,1),(273,1),(298,1)}
       118:{1,3,6}:{(90,1),(91,1),(94,1),(149,1)}
       119:{1,4,7}:{(91,1),(95,1),(149,1),(205,1)}
       120:{2,4,6}:{(92,1),(93,1),(103,1),(142,1),(151,1)}
       121:{2,3,5,6}:{(93,1),(94,1),(96,1),(104,1),(143,1),(148,1),(151,1),(152,1),(153,1),(164,1),(200,1),(213,1),(218,1),(227,1),(258,1),(268,1),(273,1),(293,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(153,1)}
       123:{2,4,5,7}:{(95,1),(98,1),(145,1),(150,1),(153,1),(154,1),(202,1),(209,1),(220,1),(257,1),(266,1),(294,1)}
       124:{1,4,6}:{(96,1),(106,1),(152,1),(155,1),(205,1)}
       125:{1,3,5}:{(97,1),(153,1),(155,1),(218,1)}
       126:{1,3,4,6}:{(98,1),(154,1),(156,1),(165,1),(207,1),(227,1),(263,1),(265,1),(293,1)}
       127:{1,3,7}:{(99,1),(100,1),(146,1),(158,1)}
       128:{1,2,4,7}:{(100,1),(101,1),(103,1),(147,1),(158,1),(159,1),(160,1),(223,1),(294,1),(311,1),(314,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(148,1),(159,1),(160,1),(161,1)}
       130:{1,4,6,7}:{(102,1),(105,1),(149,1),(160,1),(161,1),(225,1)}
       131:{3,7}:{(103,1),(151,1)}
       132:{2,4,7}:{(104,1),(106,1),(152,1),(160,1),(162,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(161,1),(164,1)}
       134:{1,4,5,7}:{(106,1),(107,1),(155,1),(163,1),(165,1),(272,1)}
       135:{1,3,5,6}:{(107,1),(164,1),(165,1),(227,1)}
       136:{2,3,7}:{(110,1),(168,1),(169,1),(304,1)}
       137:{2,3,5}:{(108,1),(115,1),(167,1),(170,1),(175,1)}
       138:{1,4,5}:{(108,1),(116,1),(170,1),(280,1),(285,1)}
       139:{1,2,5}:{(109,1),(112,1),(172,1),(182,1),(231,1),(285,1)}
       140:{1,3,6}:{(109,1),(110,1),(113,1),(168,1),(172,1),(275,1)}
       141:{1,3,4,7}:{(110,1),(114,1),(119,1),(169,1),(173,1),(174,1),(249,1),(283,1),(304,1),(313,1)}
       142:{2,4,5}:{(111,1),(112,1),(120,1),(175,1),(176,1)}
       143:{2,3,5}:{(112,1),(113,1),(172,1),(175,1),(176,1)}
       144:{2,3,4,6}:{(113,1),(114,1),(122,1),(173,1),(176,1),(177,1),(178,1),(184,1),(240,1),(243,1),(276,1),(303,1)}
       145:{2,3,5,7}:{(114,1),(123,1),(174,1),(177,1),(178,1),(195,1),(250,1),(277,1),(304,1)}
       146:{1,3,6}:{(115,1),(116,1),(127,1),(170,1),(179,1)}
       147:{1,2,4,6}:{(116,1),(117,1),(120,1),(128,1),(171,1),(179,1),(180,1),(181,1),(243,1),(278,1),(305,1),(312,1)}
       148:{1,3,5,6}:{(117,1),(118,1),(121,1),(129,1),(172,1),(180,1),(181,1),(182,1),(194,1),(244,1),(251,1)}
       149:{1,4,6}:{(118,1),(119,1),(122,1),(182,1)}
       150:{1,4,5,7}:{(119,1),(123,1),(174,1),(182,1),(183,1),(236,1),(246,1),(283,1)}
       151:{3,6}:{(120,1),(131,1),(175,1)}
       152:{2,4,6}:{(121,1),(124,1),(132,1),(176,1),(181,1),(184,1),(185,1),(230,1)}
       153:{2,5}:{(122,1),(125,1),(182,1)}
       154:{2,4,6}:{(123,1),(126,1),(178,1),(183,1),(186,1),(232,1)}
       155:{1,4,5}:{(124,1),(125,1),(185,1),(285,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(186,1),(188,1),(189,1),(247,1)}
       157:{1,3,4,6,7}:{(126,1),(187,1),(189,1),(198,1),(238,1),(253,1),(283,1),(284,1),(304,1)}
       158:{2,7}:{(127,1),(179,1)}
       159:{1,3,7}:{(128,1),(131,1),(180,1),(191,1),(304,1)}
       160:{1,4,7}:{(129,1),(132,1),(181,1)}
       161:{1,5,7}:{(130,1),(133,1),(182,1),(194,1)}
       162:{3,4,7}:{(131,1),(132,1),(184,1),(195,1),(304,1)}
       163:{2,4,5,7}:{(132,1),(133,1),(134,1),(185,1),(193,1),(195,1),(196,1),(250,1)}
       164:{2,5,6}:{(133,1),(135,1),(194,1),(196,1)}
       165:{1,4,6}:{(134,1),(135,1),(196,1),(288,1)}
       166:{1,3,5,6,7}:{(135,1),(189,1),(197,1),(198,1),(253,1)}
       167:{2,3,4}:{(137,1),(199,1),(208,1),(261,1),(290,1)}
       168:{2,3,6}:{(136,1),(140,1),(200,1),(201,1),(290,1),(293,1)}
       169:{2,4,7}:{(136,1),(141,1),(201,1),(202,1),(314,1)}
       170:{1,3,5}:{(137,1),(138,1),(146,1),(199,1),(203,1)}
       171:{1,2,4,5}:{(138,1),(139,1),(142,1),(147,1),(203,1),(204,1),(205,1),(215,1),(254,1),(257,1),(261,1),(268,1),(295,1),(308,1)}
       172:{1,3,5}:{(139,1),(140,1),(143,1),(200,1),(205,1)}
       173:{1,3,4,6}:{(140,1),(141,1),(144,1),(149,1),(201,1),(205,1),(206,1),(207,1),(256,1),(263,1),(267,1),(291,1),(293,1),(309,1)}
       174:{1,3,5,7}:{(141,1),(145,1),(150,1),(202,1),(206,1),(207,1),(272,1)}
       175:{3,5}:{(142,1),(151,1),(208,1)}
       176:{2,4}:{(143,1),(205,1),(208,1)}
       177:{2,3,5}:{(144,1),(153,1),(206,1),(209,1),(218,1),(268,1)}
       178:{2,3,6}:{(145,1),(154,1),(207,1),(227,1),(273,1),(293,1)}
       179:{2,6}:{(146,1),(158,1),(203,1)}
       180:{1,3,6}:{(147,1),(151,1),(159,1),(204,1),(213,1),(293,1)}
       181:{1,4,6}:{(148,1),(152,1),(160,1),(205,1),(215,1)}
       182:{1,5}:{(149,1),(153,1)}
       183:{1,4,6}:{(150,1),(154,1),(207,1),(216,1)}
       184:{3,4,6}:{(151,1),(152,1),(162,1),(208,1),(218,1),(227,1),(256,1),(293,1)}
       185:{2,4,5}:{(152,1),(153,1),(155,1),(215,1),(218,1),(268,1)}
       186:{2,5,6}:{(153,1),(154,1),(156,1),(216,1),(220,1)}
       187:{2,4,6,7}:{(154,1),(157,1),(211,1),(217,1),(220,1),(259,1),(266,1),(294,1)}
       188:{1,4,5,6}:{(155,1),(156,1),(165,1),(219,1),(221,1),(263,1),(298,1)}
       189:{1,3,5,7}:{(156,1),(157,1),(220,1),(221,1),(271,1)}
       190:{1,2,7}:{(158,1),(212,1),(222,1),(314,1)}
       191:{2,3,7}:{(158,1),(159,1),(213,1),(222,1),(223,1),(314,1)}
       192:{1,3,4,7}:{(159,1),(160,1),(162,1),(214,1),(223,1),(224,1)}
       193:{1,4,5,7}:{(160,1),(161,1),(163,1),(215,1),(224,1),(225,1)}
       194:{1,5,6}:{(161,1),(164,1),(225,1)}
       195:{3,5,7}:{(162,1),(163,1),(218,1),(227,1)}
       196:{2,4,6}:{(163,1),(164,1),(165,1),(225,1),(227,1),(273,1)}
       197:{2,5,6,7}:{(164,1),(166,1),(220,1),(226,1),(228,1)}
       198:{1,4,6,7}:{(165,1),(166,1),(221,1),(228,1),(300,1)}
       199:{1,3,4}:{(167,1),(170,1),(229,1),(275,1),(280,1)}
       200:{2,3,5}:{(168,1),(172,1),(230,1),(231,1),(277,1)}
       201:{2,4,6}:{(168,1),(169,1),(173,1),(230,1),(231,1),(232,1),(301,1),(312,1)}
       202:{2,5,7}:{(169,1),(174,1),(231,1),(232,1)}
       203:{2,5}:{(170,1),(179,1),(229,1)}
       204:{1,3,5}:{(171,1),(175,1),(180,1),(234,1),(235,1),(275,1),(277,1)}
       205:{1,4}:{(172,1),(176,1),(230,1)}
       206:{1,3,5}:{(173,1),(177,1),(182,1),(231,1),(236,1),(277,1),(285,1)}
       207:{1,3,6}:{(174,1),(178,1),(183,1),(232,1),(288,1)}
       208:{3,4}:{(175,1),(176,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(239,1),(240,1)}
       210:{2,3,5,6}:{(177,1),(178,1),(186,1),(237,1),(240,1),(241,1),(247,1),(286,1),(303,1)}
       211:{2,3,6,7}:{(178,1),(187,1),(238,1),(241,1),(253,1),(289,1),(304,1)}
       212:{1,2,6}:{(179,1),(190,1),(233,1),(242,1),(312,1)}
       213:{2,3,6}:{(179,1),(180,1),(191,1),(234,1),(242,1),(243,1),(312,1)}
       214:{1,3,4,6}:{(180,1),(181,1),(184,1),(192,1),(235,1),(243,1),(244,1),(251,1)}
       215:{1,4,5}:{(181,1),(182,1),(185,1),(244,1)}
       216:{1,5,6}:{(182,1),(183,1),(186,1),(246,1)}
       217:{1,4,6,7}:{(183,1),(187,1),(238,1),(246,1),(283,1)}
       218:{3,5}:{(184,1),(185,1)}
       219:{2,4,5,6}:{(185,1),(186,1),(188,1),(196,1),(240,1),(245,1),(247,1),(248,1),(278,1),(286,1)}
       220:{2,5,7}:{(186,1),(187,1),(189,1),(246,1)}
       221:{1,4,5,7}:{(188,1),(189,1),(198,1),(248,1),(283,1),(307,1)}
       222:{1,3,7}:{(190,1),(191,1),(242,1),(249,1)}
       223:{2,4,7}:{(191,1),(192,1),(243,1),(249,1),(250,1)}
       224:{1,3,5,7}:{(192,1),(193,1),(195,1),(244,1),(250,1),(251,1)}
       225:{1,4,6}:{(193,1),(194,1),(196,1),(251,1)}
       226:{1,5,6,7}:{(194,1),(197,1),(246,1),(252,1)}
       227:{3,6}:{(195,1),(196,1)}
       228:{2,4,6,7}:{(196,1),(197,1),(198,1),(248,1),(252,1),(253,1),(289,1)}
       229:{2,4}:{(199,1),(203,1),(255,1)}
       230:{2,4}:{(200,1),(205,1),(256,1)}
       231:{2,5}:{(201,1),(206,1)}
       232:{2,6}:{(202,1),(207,1)}
       233:{1,2,5}:{(203,1),(212,1),(254,1),(260,1),(308,1)}
       234:{2,3,5}:{(203,1),(204,1),(213,1),(255,1),(260,1),(261,1),(268,1),(290,1),(308,1)}
       235:{1,3,4}:{(204,1),(205,1),(208,1),(256,1),(261,1)}
       236:{1,4,5}:{(205,1),(206,1),(209,1),(257,1),(263,1)}
       237:{1,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(258,1),(263,1),(264,1),(293,1),(298,1),(309,1)}
       238:{1,3,6,7}:{(207,1),(211,1),(217,1),(259,1),(264,1),(300,1)}
       239:{3,4,5}:{(208,1),(209,1),(218,1),(265,1)}
       240:{2,4,6}:{(209,1),(210,1),(263,1),(265,1),(266,1)}
       241:{2,3,5,7}:{(210,1),(211,1),(220,1),(264,1),(266,1),(271,1),(299,1),(310,1)}
       242:{1,3,6}:{(212,1),(213,1),(222,1),(260,1),(267,1)}
       243:{2,4,6}:{(213,1),(214,1),(223,1),(261,1),(267,1),(268,1),(273,1)}
       244:{1,3,5}:{(214,1),(215,1),(218,1),(268,1)}
       245:{1,4,5,6}:{(215,1),(216,1),(219,1),(225,1),(263,1),(269,1),(270,1)}
       246:{1,5,7}:{(216,1),(217,1),(220,1)}
       247:{3,5,6}:{(218,1),(219,1),(227,1),(265,1),(271,1),(293,1)}
       248:{2,4,5,7}:{(219,1),(220,1),(221,1),(228,1),(266,1),(270,1),(271,1),(294,1),(299,1)}
       249:{1,4,7}:{(222,1),(223,1),(267,1),(272,1)}
       250:{2,5,7}:{(223,1),(224,1),(268,1),(272,1),(273,1)}
       251:{1,3,6}:{(224,1),(225,1),(227,1),(273,1)}
       252:{1,4,6,7}:{(225,1),(226,1),(228,1),(270,1),(274,1)}
       253:{3,6,7}:{(227,1),(228,1),(271,1)}
       254:{1,2,4}:{(229,1),(233,1),(275,1),(280,1),(301,1)}
       255:{2,3}:{(229,1),(275,1)}
       256:{3,4}:{(230,1),(277,1)}
       257:{2,4,5}:{(230,1),(231,1),(236,1),(277,1),(278,1)}
       258:{2,5,6}:{(231,1),(232,1),(237,1),(278,1),(279,1),(312,1)}
       259:{2,6,7}:{(232,1),(238,1),(279,1)}
       260:{1,3,5}:{(233,1),(234,1),(242,1),(275,1),(280,1),(285,1)}
       261:{2,4}:{(234,1),(235,1),(280,1)}
       262:{1,3,4,5}:{(235,1),(236,1),(239,1),(244,1),(277,1),(281,1),(282,1),(302,1)}
       263:{1,4,6}:{(236,1),(237,1),(240,1),(278,1),(283,1)}
       264:{1,3,5,7}:{(237,1),(238,1),(241,1),(246,1),(279,1),(283,1),(304,1),(307,1),(313,1)}
       265:{3,4,6}:{(239,1),(240,1),(247,1),(284,1)}
       266:{2,4,7}:{(240,1),(241,1),(283,1),(284,1)}
       267:{1,4,6}:{(242,1),(243,1),(249,1),(280,1),(285,1),(288,1)}
       268:{2,5}:{(243,1),(244,1),(285,1)}
       269:{1,3,5,6}:{(244,1),(245,1),(247,1),(251,1),(282,1),(286,1),(287,1)}
       270:{1,4,5,7}:{(245,1),(246,1),(248,1),(252,1),(283,1),(287,1)}
       271:{3,5,7}:{(247,1),(248,1),(253,1),(284,1),(304,1)}
       272:{1,5,7}:{(249,1),(250,1),(285,1),(288,1)}
       273:{2,6}:{(250,1),(251,1),(288,1)}
       274:{1,3,6,7}:{(251,1),(252,1),(253,1),(287,1),(289,1)}
       275:{1,3}:{(254,1),(255,1),(290,1)}
       276:{2,3,4}:{(255,1),(256,1),(261,1),(291,1),(292,1)}
       277:{3,5}:{(256,1),(257,1),(293,1)}
       278:{2,4,6}:{(257,1),(258,1),(263,1),(293,1),(294,1)}
       279:{2,5,7}:{(258,1),(259,1),(264,1),(294,1),(314,1)}
       280:{1,4}:{(260,1),(261,1)}
       281:{2,4,5}:{(261,1),(262,1),(268,1),(292,1),(295,1),(296,1),(308,1)}
       282:{1,3,4,6}:{(262,1),(263,1),(265,1),(269,1),(293,1),(296,1),(297,1),(309,1)}
       283:{1,4,7}:{(263,1),(264,1),(266,1),(294,1)}
       284:{3,4,7}:{(265,1),(266,1),(271,1)}
       285:{1,5}:{(267,1),(268,1)}
       286:{2,5,6}:{(268,1),(269,1),(273,1),(296,1),(298,1),(299,1)}
       287:{1,3,5,7}:{(269,1),(270,1),(271,1),(274,1),(297,1),(299,1)}
       288:{1,6}:{(272,1),(273,1)}
       289:{2,6,7}:{(273,1),(274,1),(299,1),(300,1)}
       290:{2,3}:{(275,1),(301,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(301,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(281,1),(302,1),(303,1)}
       293:{3,6}:{(277,1),(278,1),(304,1)}
       294:{2,4,7}:{(278,1),(279,1),(283,1),(304,1)}
       295:{1,4,5}:{(280,1),(281,1),(285,1),(302,1),(305,1)}
       296:{2,4,6}:{(281,1),(282,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       297:{1,3,4,7}:{(282,1),(283,1),(284,1),(287,1),(304,1),(306,1),(313,1)}
       298:{1,5,6}:{(285,1),(286,1),(288,1),(305,1),(307,1)}
       299:{2,5,7}:{(286,1),(287,1),(289,1),(306,1),(307,1)}
       300:{1,6,7}:{(288,1),(289,1),(307,1)}
       301:{2,4}:{(290,1),(291,1),(308,1)}
       302:{1,3,5}:{(291,1),(292,1),(295,1),(308,1),(309,1)}
       303:{2,3,6}:{(292,1),(293,1),(296,1),(309,1),(310,1)}
       304:{3,7}:{(293,1),(294,1)}
       305:{1,4,6}:{(295,1),(296,1),(298,1),(309,1),(311,1)}
       306:{2,4,7}:{(296,1),(297,1),(299,1),(310,1),(311,1),(314,1)}
       307:{1,5,7}:{(298,1),(299,1),(300,1),(311,1)}
       308:{2,5}:{(301,1),(302,1),(312,1)}
       309:{1,3,6}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       310:{2,3,7}:{(303,1),(304,1),(306,1),(313,1)}
       311:{1,4,7}:{(305,1),(306,1),(307,1),(313,1)}
       312:{2,6}:{(308,1),(309,1),(314,1)}
       313:{1,3,7}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

1883 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1884 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1885 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1886 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1887 :   0:{2,3,4,6,7}:{(1,1),(2,1),(18,1),(23,1),(42,1),(62,1),(93,1),(106,1),(108,1),(149,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(28,1),(33,1),(73,1),(77,1),(79,1),(87,1),(129,1),(135,1),(138,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(40,1),(86,1),(174,1),(182,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(40,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(14,1),(46,1),(52,1),(91,1),(105,1),(147,1),(150,1),(152,1),(157,1),(241,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(52,1),(53,1),(157,1),(164,1),(167,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(54,1),(115,1),(156,1),(204,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(58,1),(108,1),(110,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(93,1),(148,1)}
         9:{1,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(18,1),(21,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(24,1),(25,1),(28,1),(68,1),(73,1),(121,1),(123,1),(129,1),(173,1),(176,1),(179,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(26,1),(27,1),(119,1),(133,1),(172,1),(182,1)}
        13:{1,2,4,6,7}:{(5,1),(24,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{2,3,6,7}:{(5,1),(28,1),(30,1),(79,1),(131,1),(189,1),(214,1)}
        15:{2,5,7}:{(5,1),(6,1),(31,1),(182,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(31,1),(33,1),(79,1),(138,1),(140,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(73,1),(128,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{3,4,5,7}:{(8,1),(36,1),(40,1),(121,1),(174,1)}
        20:{2,5,6,7}:{(9,1),(31,1),(37,1),(86,1),(143,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(33,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(10,1),(35,1),(38,1),(40,1),(86,1),(192,1)}
        23:{3,4,6,7}:{(10,1),(36,1),(40,1)}
        24:{2,4,6,7}:{(11,1),(42,1),(43,1),(93,1),(94,1),(157,1),(200,1),(203,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(43,1),(44,1),(45,1),(95,1),(156,1),(196,1),(204,1)}
        26:{2,3,5,6}:{(12,1),(44,1),(46,1),(99,1),(152,1),(154,1)}
        27:{2,4,5,7}:{(12,1),(45,1),(46,1),(47,1),(52,1),(104,1)}
        28:{1,3,6,7}:{(13,1),(14,1),(42,1),(48,1),(102,1),(159,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(15,1),(43,1),(48,1),(49,1),(115,1),(169,1),(196,1),(204,1),(227,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(48,1),(51,1),(52,1),(54,1),(227,1),(241,1)}
        31:{2,5,6}:{(15,1),(16,1),(53,1),(167,1)}
        32:{2,4,5,7}:{(15,1),(17,1),(52,1),(53,1),(54,1),(104,1)}
        33:{1,4,6}:{(16,1),(17,1),(18,1),(53,1)}
        34:{1,3,4,5,7}:{(17,1),(19,1),(54,1),(56,1),(57,1),(61,1),(101,1),(109,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        35:{2,4,5,6}:{(18,1),(22,1),(55,1),(58,1),(110,1),(148,1),(210,1)}
        36:{3,4,6}:{(18,1),(19,1),(58,1)}
        37:{2,4,6,7}:{(20,1),(21,1),(53,1),(59,1),(60,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(55,1),(59,1),(61,1),(115,1),(168,1)}
        39:{1,3,4,6,7}:{(21,1),(23,1),(56,1),(60,1),(61,1),(62,1),(112,1),(114,1),(168,1),(211,1)}
        40:{3,5,7}:{(22,1),(23,1),(58,1),(211,1)}
        41:{2,3,5,6,7}:{(26,1),(63,1),(64,1),(119,1),(171,1),(172,1)}
        42:{2,3,6,7}:{(24,1),(28,1),(65,1),(123,1),(131,1),(143,1),(218,1)}
        43:{2,5,7}:{(24,1),(25,1),(66,1),(182,1)}
        44:{1,3,5,6}:{(25,1),(26,1),(66,1),(68,1),(123,1),(179,1),(181,1)}
        45:{1,4,5,7}:{(25,1),(27,1),(67,1),(68,1),(73,1),(128,1)}
        46:{2,4,6}:{(26,1),(27,1),(68,1),(71,1)}
        47:{3,4,5,7}:{(27,1),(71,1),(77,1),(119,1),(133,1)}
        48:{1,3,5,7}:{(28,1),(29,1),(30,1),(65,1),(72,1),(73,1)}
        49:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(74,1),(140,1),(181,1),(182,1),(185,1),(191,1),(220,1),(221,1)}
        50:{1,2,4,5,7}:{(29,1),(32,1),(67,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(130,1),(139,1),(180,1),(182,1),(184,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(72,1),(76,1),(79,1),(131,1),(133,1),(182,1),(220,1),(237,1),(238,1)}
        52:{2,4,7}:{(30,1),(73,1),(76,1),(77,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(77,1),(79,1),(133,1)}
        55:{1,4,5,6}:{(33,1),(35,1),(38,1),(78,1),(81,1),(128,1),(140,1),(190,1)}
        56:{1,3,4,6}:{(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(136,1),(138,1),(190,1),(225,1)}
        57:{2,4,5,7}:{(34,1),(80,1),(82,1),(83,1),(86,1),(130,1),(139,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        58:{3,5,6}:{(35,1),(36,1),(40,1),(174,1),(225,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(78,1),(84,1),(86,1),(141,1)}
        60:{3,6,7}:{(37,1),(79,1),(84,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(40,1),(81,1),(84,1),(86,1)}
        62:{2,4,6,7}:{(39,1),(82,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(88,1),(89,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(46,1),(89,1),(90,1),(91,1)}
        65:{2,3,5,7}:{(42,1),(43,1),(48,1),(92,1),(93,1),(95,1),(169,1),(211,1)}
        66:{2,5,6}:{(43,1),(44,1),(94,1),(203,1)}
        67:{2,4,5,7}:{(43,1),(45,1),(93,1),(94,1),(95,1),(148,1)}
        68:{1,4,6}:{(44,1),(45,1),(46,1),(94,1)}
        69:{1,3,4,5,7}:{(45,1),(47,1),(95,1),(97,1),(98,1),(101,1),(146,1),(153,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        70:{2,4,5,6}:{(46,1),(90,1),(96,1),(99,1),(104,1),(154,1),(231,1)}
        71:{3,4,6}:{(46,1),(47,1),(99,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(51,1),(92,1),(100,1),(102,1),(156,1),(159,1),(204,1),(232,1)}
        73:{1,4,7}:{(48,1),(52,1),(93,1),(100,1)}
        74:{1,2,4,6}:{(49,1),(50,1),(53,1),(94,1),(100,1),(102,1),(111,1),(155,1),(157,1),(167,1),(203,1),(210,1),(231,1)}
        75:{1,3,5,7}:{(50,1),(54,1),(95,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,6}:{(51,1),(52,1),(100,1),(104,1),(105,1),(243,1)}
        77:{3,4,7}:{(52,1),(54,1),(105,1),(241,1)}
        78:{2,4,5,6}:{(53,1),(55,1),(59,1),(104,1),(107,1),(110,1),(165,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{2,3,5,7}:{(54,1),(57,1),(106,1),(108,1),(109,1),(162,1),(211,1),(233,1)}
        81:{1,3,5,6}:{(55,1),(56,1),(58,1),(61,1),(107,1),(110,1),(156,1)}
        82:{2,4,6}:{(56,1),(57,1),(108,1),(110,1),(111,1),(167,1)}
        83:{1,4,5,7}:{(57,1),(109,1),(111,1),(115,1),(158,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(60,1),(107,1),(112,1)}
        85:{2,3,6,7}:{(60,1),(62,1),(108,1),(113,1),(114,1),(211,1)}
        86:{2,5,7}:{(61,1),(62,1),(110,1),(115,1)}
        87:{1,4,6,7}:{(62,1),(111,1),(114,1),(115,1),(168,1)}
        88:{2,5,6,7}:{(63,1),(66,1),(116,1),(172,1),(214,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(68,1),(116,1),(117,1)}
        90:{2,4,5,7}:{(64,1),(70,1),(117,1),(119,1),(172,1),(235,1)}
        91:{3,4,6,7}:{(64,1),(71,1),(119,1)}
        92:{2,3,5,6}:{(65,1),(66,1),(72,1),(120,1),(123,1),(131,1),(174,1),(182,1),(191,1),(224,1),(225,1)}
        93:{2,4,7}:{(65,1),(73,1),(120,1),(121,1)}
        94:{2,4,6}:{(66,1),(67,1),(68,1),(123,1)}
        95:{3,5,7}:{(67,1),(121,1),(123,1),(174,1)}
        96:{1,4,5,6}:{(68,1),(70,1),(117,1),(122,1),(125,1),(128,1),(181,1),(219,1)}
        97:{1,3,4,6}:{(68,1),(69,1),(71,1),(123,1),(125,1),(126,1),(177,1),(179,1),(219,1),(238,1)}
        98:{2,4,5,7}:{(69,1),(124,1),(126,1),(127,1),(130,1),(172,1),(180,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
        99:{3,5,6}:{(70,1),(71,1),(119,1),(133,1),(238,1)}
       100:{1,4,6}:{(72,1),(73,1),(76,1),(120,1),(128,1),(239,1)}
       101:{1,3,4,7}:{(73,1),(75,1),(77,1),(121,1),(129,1),(130,1),(239,1),(240,1),(244,1)}
       102:{1,3,6}:{(74,1),(75,1),(79,1),(123,1),(131,1),(225,1),(238,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(139,1),(180,1),(182,1),(189,1),(218,1),(224,1),(237,1)}
       104:{2,4,5}:{(76,1),(128,1),(133,1),(182,1)}
       105:{3,4,6}:{(76,1),(77,1),(79,1),(133,1),(238,1),(244,1)}
       106:{2,3,4,7}:{(77,1),(80,1),(130,1),(134,1),(135,1),(141,1),(218,1),(240,1)}
       107:{3,5,6}:{(78,1),(79,1),(84,1),(133,1),(136,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(225,1)}
       109:{1,3,5,7}:{(80,1),(83,1),(135,1),(138,1),(139,1),(187,1)}
       110:{2,5,6}:{(81,1),(82,1),(86,1),(140,1),(182,1)}
       111:{1,4,6}:{(82,1),(83,1),(138,1),(140,1)}
       112:{3,4,7}:{(84,1),(136,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(137,1),(141,1),(142,1)}
       114:{1,3,6,7}:{(85,1),(87,1),(138,1),(142,1),(143,1)}
       115:{1,5,7}:{(86,1),(87,1),(140,1)}
       116:{2,4,6,7}:{(88,1),(89,1),(94,1),(144,1),(145,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(96,1),(144,1),(146,1),(196,1),(226,1)}
       118:{1,3,4,6,7}:{(89,1),(91,1),(97,1),(145,1),(146,1),(147,1),(193,1),(195,1),(226,1),(241,1)}
       119:{3,5,7}:{(90,1),(91,1),(99,1),(241,1)}
       120:{2,4,6}:{(92,1),(93,1),(100,1),(148,1),(149,1),(234,1)}
       121:{3,4,7}:{(93,1),(95,1),(149,1),(211,1)}
       122:{2,4,5,6}:{(94,1),(96,1),(144,1),(148,1),(151,1),(154,1),(201,1)}
       123:{3,6}:{(94,1),(95,1)}
       124:{2,3,5,7}:{(95,1),(98,1),(150,1),(152,1),(153,1),(198,1),(241,1),(242,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(151,1),(154,1),(156,1)}
       126:{2,4,6}:{(97,1),(98,1),(152,1),(154,1),(155,1),(203,1)}
       127:{1,4,5,7}:{(98,1),(153,1),(155,1),(158,1),(196,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(104,1),(148,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(105,1),(149,1),(156,1),(157,1)}
       130:{2,4,7}:{(101,1),(103,1),(157,1),(158,1),(234,1),(243,1)}
       131:{2,3,6}:{(102,1),(103,1),(157,1),(159,1),(167,1),(203,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,5}:{(104,1),(105,1)}
       134:{2,3,4,6}:{(105,1),(106,1),(108,1),(157,1),(162,1),(163,1),(165,1),(230,1),(243,1)}
       135:{1,3,4,7}:{(106,1),(109,1),(158,1),(163,1),(164,1),(168,1),(206,1),(211,1)}
       136:{3,4,6}:{(107,1),(112,1),(161,1),(165,1)}
       137:{2,3,5,6}:{(107,1),(108,1),(110,1),(113,1),(162,1),(165,1),(166,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(167,1)}
       139:{2,5,7}:{(109,1),(164,1),(167,1),(208,1)}
       140:{1,5,6}:{(110,1),(111,1),(115,1),(204,1)}
       141:{2,4,7}:{(112,1),(113,1),(165,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(166,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(114,1),(167,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(117,1),(122,1),(170,1),(172,1),(212,1)}
       145:{3,6,7}:{(116,1),(123,1),(170,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(119,1),(125,1),(170,1),(172,1)}
       147:{2,4,6,7}:{(118,1),(126,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{2,4,5}:{(120,1),(128,1),(174,1),(182,1)}
       149:{3,4,6}:{(120,1),(121,1),(123,1),(174,1),(225,1),(240,1)}
       150:{2,3,4,7}:{(121,1),(124,1),(130,1),(175,1),(176,1),(189,1),(212,1),(244,1)}
       151:{3,5,6}:{(122,1),(123,1),(170,1),(174,1),(177,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(238,1)}
       153:{1,3,5,7}:{(124,1),(127,1),(176,1),(179,1),(180,1),(216,1)}
       154:{2,5,6}:{(125,1),(126,1),(172,1),(181,1),(182,1)}
       155:{1,4,6}:{(126,1),(127,1),(179,1),(181,1)}
       156:{1,3,5}:{(128,1),(129,1),(133,1),(174,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,4,7}:{(130,1),(132,1),(183,1),(239,1)}
       159:{1,3,6}:{(131,1),(132,1),(183,1),(185,1)}
       160:{1,2,5,7}:{(132,1),(139,1),(180,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,3,5}:{(133,1),(134,1),(182,1),(186,1),(187,1)}
       163:{1,3,4,6}:{(134,1),(135,1),(138,1),(183,1),(187,1),(188,1),(190,1),(222,1),(225,1),(239,1),(240,1)}
       164:{2,4,7}:{(135,1),(139,1),(188,1),(189,1)}
       165:{2,4,6}:{(136,1),(137,1),(141,1),(186,1),(190,1)}
       166:{1,3,5,6}:{(137,1),(138,1),(140,1),(142,1),(187,1),(190,1),(191,1),(225,1)}
       167:{2,6}:{(138,1),(139,1)}
       168:{1,4,7}:{(141,1),(142,1),(190,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(145,1),(151,1),(193,1)}
       171:{2,3,6,7}:{(145,1),(147,1),(152,1),(194,1),(195,1),(241,1)}
       172:{2,5,7}:{(146,1),(147,1),(154,1),(196,1)}
       173:{1,4,6,7}:{(147,1),(155,1),(195,1),(196,1),(226,1)}
       174:{3,5}:{(148,1),(149,1)}
       175:{2,3,4,6}:{(149,1),(150,1),(152,1),(157,1),(198,1),(199,1),(201,1),(209,1),(234,1)}
       176:{1,3,4,7}:{(150,1),(153,1),(158,1),(199,1),(200,1),(206,1),(226,1),(241,1)}
       177:{3,4,6}:{(151,1),(193,1),(197,1),(201,1)}
       178:{2,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(201,1),(202,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(203,1)}
       180:{2,5,7}:{(153,1),(200,1),(203,1),(229,1)}
       181:{1,5,6}:{(154,1),(155,1),(196,1),(204,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,4,7}:{(158,1),(160,1),(164,1),(200,1),(205,1),(206,1)}
       185:{1,2,6}:{(159,1),(160,1),(167,1),(203,1)}
       186:{2,4,5}:{(161,1),(162,1),(165,1),(207,1),(243,1)}
       187:{1,3,5}:{(162,1),(163,1),(204,1),(207,1),(208,1),(233,1)}
       188:{2,4,6}:{(163,1),(164,1),(167,1),(208,1),(209,1),(234,1)}
       189:{2,3,7}:{(164,1),(206,1),(209,1),(211,1)}
       190:{1,4,6}:{(165,1),(166,1),(168,1),(207,1),(210,1)}
       191:{2,5,6}:{(166,1),(167,1),(169,1),(208,1),(210,1)}
       192:{2,4,7}:{(168,1),(169,1),(210,1),(211,1)}
       193:{3,4,7}:{(170,1),(177,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(178,1),(212,1),(213,1)}
       195:{1,3,6,7}:{(171,1),(173,1),(179,1),(213,1),(214,1)}
       196:{1,5,7}:{(172,1),(173,1),(181,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,3,5}:{(174,1),(175,1),(182,1),(215,1),(216,1)}
       199:{1,3,4,6}:{(175,1),(176,1),(179,1),(183,1),(216,1),(217,1),(219,1),(222,1),(238,1),(239,1),(244,1)}
       200:{2,4,7}:{(176,1),(180,1),(217,1),(218,1)}
       201:{2,4,6}:{(177,1),(178,1),(212,1),(215,1),(219,1)}
       202:{1,3,5,6}:{(178,1),(179,1),(181,1),(213,1),(216,1),(219,1),(220,1),(238,1)}
       203:{2,6}:{(179,1),(180,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(188,1),(217,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(184,1),(189,1),(218,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,5}:{(187,1),(188,1)}
       209:{2,3,6}:{(188,1),(189,1),(222,1),(224,1),(225,1)}
       210:{2,4,6}:{(190,1),(191,1),(192,1),(223,1),(225,1)}
       211:{3,7}:{(192,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(201,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(202,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(195,1),(203,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(201,1),(228,1),(234,1)}
       216:{1,3,5}:{(198,1),(199,1),(204,1),(228,1),(229,1),(242,1)}
       217:{2,4,6}:{(199,1),(200,1),(203,1),(229,1),(230,1),(243,1)}
       218:{2,3,7}:{(200,1),(206,1),(230,1),(241,1)}
       219:{1,4,6}:{(201,1),(202,1),(226,1),(228,1),(231,1)}
       220:{2,5,6}:{(202,1),(203,1),(227,1),(229,1),(231,1)}
       221:{1,2,5}:{(204,1),(205,1),(208,1),(229,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(209,1),(230,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{2,3,5}:{(208,1),(209,1),(232,1),(233,1),(234,1)}
       225:{3,6}:{(210,1),(211,1),(233,1)}
       226:{1,4,7}:{(212,1),(213,1),(219,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(220,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(219,1),(236,1),(239,1)}
       229:{2,5}:{(216,1),(217,1)}
       230:{2,3,6}:{(217,1),(218,1),(222,1),(237,1),(238,1)}
       231:{2,4,6}:{(219,1),(220,1),(235,1),(236,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(224,1),(237,1),(239,1)}
       233:{3,5}:{(223,1),(225,1),(240,1)}
       234:{2,4}:{(224,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(231,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(231,1),(242,1),(243,1)}
       237:{2,3,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(238,1)}
       242:{3,5}:{(236,1),(238,1),(244,1)}
       243:{2,4}:{(237,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1888 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(176,1),(179,1),(189,1),(203,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(28,1),(240,1),(241,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(143,1),(160,1),(165,1),(234,1),(247,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(67,1),(136,1),(222,1),(233,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(13,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(13,1),(45,1),(284,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(120,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(120,1),(208,1),(291,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(45,1),(105,1),(121,1),(279,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(98,1),(176,1),(203,1),(210,1),(263,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(266,1),(278,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(143,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(26,1),(28,1),(66,1),(74,1),(75,1),(143,1),(234,1),(235,1),(240,1),(319,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(28,1)}
        14:{1,2,3,6,7}:{(5,1),(27,1),(29,1),(71,1),(151,1),(236,1),(242,1),(325,1),(326,1),(382,1)}
        15:{1,2,3,5,6}:{(5,1),(28,1),(29,1),(30,1),(72,1),(77,1),(79,1),(150,1),(151,1),(238,1),(241,1),(320,1),(326,1),(383,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(32,1),(34,1),(253,1),(331,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(32,1),(34,1),(85,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(71,1),(92,1),(143,1),(160,1),(167,1),(247,1),(256,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(321,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(305,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(136,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(176,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(16,1),(42,1),(45,1),(47,1),(281,1),(356,1)}
        25:{1,3,4,6}:{(11,1),(13,1),(17,1),(43,1),(45,1),(47,1),(105,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(49,1),(97,1),(105,1),(279,1),(284,1)}
        27:{1,2,4,6,7}:{(13,1),(14,1),(46,1),(50,1),(52,1),(112,1),(197,1),(275,1),(284,1),(360,1)}
        28:{1,2,5}:{(13,1),(47,1)}
        29:{1,2,3,5,7}:{(14,1),(15,1),(50,1),(52,1),(104,1),(113,1),(192,1),(283,1),(356,1),(401,1)}
        30:{1,2,4,6}:{(15,1),(51,1),(52,1),(53,1),(105,1),(186,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(120,1),(123,1),(180,1),(189,1),(264,1)}
        32:{2,3,6}:{(16,1),(18,1),(45,1)}
        33:{2,3,4,6,7}:{(17,1),(46,1),(55,1),(57,1),(115,1),(120,1),(122,1),(194,1),(202,1),(275,1),(397,1),(400,1),(421,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(55,1),(59,1),(120,1),(291,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(105,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(176,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(177,1),(266,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(67,1),(69,1),(313,1),(375,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(67,1),(69,1),(136,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(143,1),(219,1),(224,1),(234,1),(307,1)}
        45:{1,3,6}:{(24,1),(26,1),(32,1),(67,1)}
        46:{1,3,4,6,7}:{(25,1),(27,1),(33,1),(68,1),(71,1),(73,1),(80,1),(143,1),(145,1),(151,1),(154,1),(239,1),(318,1),(382,1),(384,1),(415,1)}
        47:{1,3,5}:{(25,1),(28,1),(34,1),(69,1),(74,1)}
        48:{1,2,4,6,7}:{(26,1),(35,1),(71,1),(75,1),(133,1),(143,1),(318,1),(319,1),(325,1)}
        49:{1,2,5,6}:{(26,1),(28,1),(36,1),(72,1),(75,1),(134,1),(321,1)}
        50:{1,2,5,7}:{(27,1),(28,1),(73,1),(77,1),(317,1),(385,1)}
        51:{1,2,4,5}:{(28,1),(30,1),(74,1),(79,1),(147,1),(385,1),(416,1)}
        52:{1,2,4,7}:{(29,1),(30,1),(80,1),(143,1),(230,1),(415,1)}
        53:{1,3,4,6}:{(30,1),(79,1),(80,1),(81,1),(151,1),(320,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(32,1),(70,1),(83,1),(85,1),(163,1),(233,1)}
        55:{2,3,6,7}:{(32,1),(35,1),(71,1),(84,1),(167,1),(331,1)}
        56:{2,3,5,6}:{(32,1),(34,1),(36,1),(72,1),(84,1),(85,1),(91,1)}
        57:{2,3,5,7}:{(33,1),(34,1),(73,1),(86,1),(87,1),(245,1),(317,1),(414,1)}
        58:{2,4,5}:{(34,1),(74,1),(85,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(85,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(143,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(144,1),(169,1),(232,1),(249,1),(332,1),(388,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(219,1),(305,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(176,1),(269,1),(345,1)}
        67:{2,3,6}:{(42,1),(45,1),(97,1)}
        68:{2,3,4,6,7}:{(43,1),(46,1),(98,1),(100,1),(115,1),(176,1),(178,1),(194,1),(263,1),(275,1),(363,1),(366,1),(405,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(45,1),(54,1),(97,1),(103,1),(105,1),(177,1),(279,1)}
        71:{1,3,6,7}:{(45,1),(48,1),(55,1),(98,1),(104,1),(356,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(49,1),(56,1),(99,1),(104,1),(105,1)}
        73:{1,3,5,7}:{(46,1),(47,1),(50,1),(57,1),(100,1),(106,1),(107,1),(354,1),(403,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(105,1)}
        75:{1,2,5,7}:{(48,1),(49,1),(59,1),(104,1),(173,1),(354,1)}
        76:{1,2,4,5,6}:{(49,1),(51,1),(60,1),(105,1),(110,1),(111,1),(112,1),(131,1),(174,1),(186,1),(187,1),(212,1),(273,1),(277,1),(278,1),(341,1),(357,1),(364,1),(398,1),(402,1)}
        77:{1,2,5,6}:{(50,1),(106,1),(112,1),(278,1),(284,1)}
        78:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(107,1),(112,1),(113,1),(189,1)}
        79:{1,3,5}:{(51,1),(53,1),(114,1)}
        80:{1,3,4,7}:{(52,1),(53,1),(113,1),(115,1),(356,1)}
        81:{2,3,4,6}:{(53,1),(114,1),(115,1),(116,1),(186,1),(194,1),(292,1),(297,1),(346,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(55,1),(102,1),(117,1),(120,1),(199,1),(202,1),(264,1),(275,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(205,1),(278,1)}
        84:{2,3,5,7}:{(55,1),(56,1),(59,1),(104,1),(120,1),(126,1)}
        85:{2,4,6}:{(56,1),(58,1),(105,1),(120,1),(121,1)}
        86:{2,3,5,6}:{(57,1),(106,1),(122,1),(194,1),(205,1),(278,1)}
        87:{2,4,5,7}:{(57,1),(58,1),(107,1),(120,1),(122,1),(123,1),(421,1),(423,1)}
        88:{3,4,5}:{(58,1),(121,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(120,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(121,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(185,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(186,1),(212,1),(278,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(67,1),(70,1),(134,1)}
        98:{2,3,6,7}:{(67,1),(71,1),(133,1),(135,1),(302,1),(375,1)}
        99:{2,3,5,6}:{(67,1),(69,1),(72,1),(134,1),(135,1),(136,1),(217,1)}
       100:{2,3,5,7}:{(68,1),(69,1),(73,1),(137,1),(138,1),(305,1),(317,1),(390,1)}
       101:{2,4,5}:{(69,1),(74,1),(136,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(71,1),(82,1),(133,1),(140,1),(143,1),(219,1),(225,1),(302,1),(307,1),(318,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(321,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(75,1),(84,1),(135,1),(143,1)}
       105:{1,4,6}:{(72,1),(74,1),(85,1),(136,1),(143,1)}
       106:{1,3,5,6}:{(73,1),(77,1),(86,1),(137,1),(145,1),(151,1),(239,1),(321,1)}
       107:{1,4,5,7}:{(73,1),(74,1),(87,1),(138,1),(143,1),(145,1),(415,1),(416,1)}
       108:{1,3,4,5}:{(74,1),(79,1),(88,1),(139,1),(144,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(77,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,5,7}:{(75,1),(76,1),(90,1),(143,1),(148,1),(149,1),(172,1),(216,1),(228,1),(230,1),(257,1),(316,1),(317,1),(319,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       111:{1,3,5,6}:{(76,1),(79,1),(91,1),(144,1),(149,1),(150,1),(151,1),(217,1),(320,1),(388,1),(412,1)}
       112:{1,2,4,6}:{(77,1),(78,1),(145,1),(151,1),(233,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(80,1),(151,1),(152,1)}
       114:{2,3,5}:{(79,1),(81,1),(147,1),(153,1)}
       115:{2,3,4,7}:{(80,1),(81,1),(152,1),(154,1),(230,1),(331,1),(375,1)}
       116:{1,3,4,6}:{(81,1),(153,1),(154,1),(155,1),(231,1),(239,1),(320,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(245,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(85,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(159,1),(167,1),(236,1),(245,1),(317,1),(409,1),(411,1),(424,1)}
       120:{2,4,7}:{(84,1),(85,1),(143,1),(160,1)}
       121:{3,4,6}:{(85,1),(88,1),(91,1),(160,1)}
       122:{2,4,6}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,5,7}:{(87,1),(88,1),(160,1),(163,1),(245,1),(425,1),(426,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(161,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(160,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(161,1),(168,1),(169,1),(388,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(230,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(231,1),(321,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(305,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(98,1),(102,1),(173,1),(176,1),(345,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,7}:{(98,1),(99,1),(104,1),(173,1),(176,1),(260,1)}
       136:{2,4,6}:{(99,1),(101,1),(105,1),(176,1),(177,1)}
       137:{2,3,5,6}:{(100,1),(106,1),(178,1),(194,1),(266,1),(278,1)}
       138:{2,4,5,7}:{(100,1),(101,1),(107,1),(176,1),(178,1),(179,1),(405,1),(407,1)}
       139:{3,4,5}:{(101,1),(177,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(105,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(184,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,7}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,6}:{(105,1),(108,1),(111,1),(121,1),(177,1),(185,1),(186,1),(402,1),(406,1),(422,1)}
       145:{1,4,6}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,5,7}:{(107,1),(108,1),(113,1),(123,1),(179,1),(185,1),(188,1),(189,1),(274,1)}
       147:{2,4,5}:{(108,1),(114,1),(186,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(112,1),(125,1),(184,1),(191,1),(214,1),(259,1),(275,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,5,7}:{(110,1),(111,1),(126,1),(185,1),(191,1),(192,1),(260,1),(356,1),(404,1),(420,1)}
       150:{2,3,5,6}:{(111,1),(114,1),(186,1),(192,1),(193,1),(194,1),(212,1),(278,1),(292,1),(341,1),(346,1)}
       151:{1,3,6}:{(112,1),(113,1),(194,1)}
       152:{2,3,5,7}:{(113,1),(114,1),(115,1),(189,1),(194,1),(195,1)}
       153:{1,3,5}:{(114,1),(116,1),(190,1),(196,1)}
       154:{1,3,4,7}:{(115,1),(116,1),(195,1),(197,1),(276,1),(356,1)}
       155:{1,2,4,6}:{(116,1),(196,1),(197,1),(198,1),(284,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(120,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(121,1),(200,1),(205,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(122,1),(184,1),(201,1),(202,1),(421,1)}
       160:{3,4,7}:{(120,1),(121,1),(126,1)}
       161:{2,3,4,6}:{(121,1),(124,1),(127,1),(186,1),(203,1),(204,1),(346,1),(406,1)}
       162:{2,4,5,6}:{(122,1),(187,1),(201,1),(205,1),(278,1)}
       163:{3,4,6}:{(122,1),(123,1),(205,1)}
       164:{2,3,4,5,7}:{(123,1),(124,1),(189,1),(203,1),(206,1),(207,1),(289,1),(350,1),(421,1),(423,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(204,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(203,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(204,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(276,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(136,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(218,1),(236,1),(302,1),(305,1),(317,1),(337,1),(387,1),(391,1)}
       176:{2,4,7}:{(135,1),(136,1),(143,1),(219,1)}
       177:{3,4,6}:{(136,1),(139,1),(217,1),(219,1)}
       178:{2,4,6}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,5,7}:{(138,1),(139,1),(219,1),(222,1),(305,1),(417,1),(418,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(220,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(143,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(144,1),(158,1),(217,1),(226,1),(227,1),(232,1),(304,1),(309,1),(376,1),(412,1)}
       184:{1,4,6,7}:{(142,1),(143,1),(145,1),(159,1),(218,1),(228,1),(415,1)}
       185:{1,3,4,7}:{(143,1),(144,1),(149,1),(160,1),(219,1),(230,1),(415,1),(417,1),(425,1)}
       186:{2,4,6}:{(144,1),(147,1),(150,1),(230,1),(231,1)}
       187:{1,4,5,6}:{(145,1),(162,1),(221,1),(228,1),(232,1),(321,1)}
       188:{1,3,4,6}:{(145,1),(146,1),(151,1),(163,1),(222,1),(232,1),(233,1)}
       189:{2,4,5,7}:{(146,1),(147,1),(152,1),(230,1),(233,1),(234,1),(317,1)}
       190:{1,4,5}:{(147,1),(153,1),(231,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(151,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,5,7}:{(149,1),(150,1),(230,1),(236,1),(237,1),(257,1),(317,1),(331,1),(371,1),(375,1)}
       193:{1,3,5,6}:{(150,1),(153,1),(231,1),(237,1),(238,1),(239,1),(320,1),(321,1)}
       194:{2,3,6}:{(151,1),(152,1),(233,1),(239,1)}
       195:{1,3,5,7}:{(152,1),(153,1),(154,1),(234,1),(239,1),(240,1)}
       196:{1,2,5}:{(153,1),(155,1)}
       197:{1,2,4,7}:{(154,1),(155,1),(240,1),(242,1)}
       198:{1,2,3,6}:{(155,1),(241,1),(242,1),(320,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(160,1),(244,1),(245,1)}
       201:{2,4,5,7}:{(159,1),(162,1),(228,1),(245,1),(317,1)}
       202:{3,4,6,7}:{(159,1),(160,1),(163,1),(167,1),(245,1),(424,1),(425,1)}
       203:{2,3,4,7}:{(160,1),(161,1),(168,1),(230,1),(247,1),(375,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(165,1),(169,1),(231,1),(247,1),(248,1),(320,1)}
       205:{3,5,6}:{(162,1),(163,1),(245,1)}
       206:{2,3,4,6}:{(163,1),(164,1),(233,1),(250,1),(251,1),(378,1),(413,1)}
       207:{1,3,4,5,7}:{(164,1),(165,1),(234,1),(247,1),(251,1),(252,1),(323,1),(329,1),(415,1),(416,1),(417,1),(418,1)}
       208:{2,4,5}:{(165,1),(248,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(245,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(247,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(248,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(176,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(177,1),(260,1)}
       218:{2,4,6,7}:{(175,1),(176,1),(178,1),(184,1),(262,1),(263,1),(405,1)}
       219:{3,4,7}:{(176,1),(177,1),(260,1)}
       220:{2,3,4,6}:{(177,1),(180,1),(186,1),(261,1),(264,1),(265,1),(292,1),(422,1)}
       221:{2,4,5,6}:{(178,1),(187,1),(262,1),(266,1),(278,1)}
       222:{3,4,6}:{(178,1),(179,1),(266,1)}
       223:{2,3,4,5,7}:{(179,1),(180,1),(189,1),(264,1),(267,1),(268,1),(296,1),(343,1),(405,1),(407,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(265,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(185,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(186,1),(261,1),(272,1),(273,1),(278,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(187,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,4,6,7}:{(184,1),(185,1),(188,1),(191,1),(202,1),(263,1),(274,1),(275,1)}
       230:{2,4,7}:{(185,1),(186,1),(192,1),(276,1)}
       231:{1,4,6}:{(186,1),(190,1),(193,1),(276,1)}
       232:{1,3,5,6}:{(187,1),(188,1),(205,1),(266,1),(274,1),(278,1)}
       233:{2,4,6}:{(188,1),(189,1),(194,1),(278,1),(279,1)}
       234:{1,4,5,7}:{(189,1),(190,1),(195,1),(276,1),(279,1),(354,1)}
       235:{1,2,4,5}:{(190,1),(196,1),(208,1),(269,1),(277,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(194,1),(275,1),(282,1),(300,1),(394,1)}
       237:{1,3,5,7}:{(192,1),(193,1),(276,1),(282,1),(283,1),(354,1),(356,1)}
       238:{1,2,5,6}:{(193,1),(196,1),(212,1),(277,1),(283,1),(284,1),(341,1)}
       239:{1,3,6}:{(194,1),(195,1),(279,1),(284,1)}
       240:{1,2,5,7}:{(195,1),(196,1),(197,1),(284,1)}
       241:{1,2,3,5}:{(196,1),(198,1),(281,1),(286,1)}
       242:{1,2,3,7}:{(197,1),(198,1),(356,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,5,7}:{(201,1),(202,1),(205,1)}
       246:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(210,1),(275,1),(289,1),(290,1),(298,1),(397,1),(421,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(211,1),(276,1),(291,1),(356,1)}
       248:{2,4,6}:{(204,1),(208,1),(212,1),(291,1),(292,1)}
       249:{3,4,5,6}:{(205,1),(288,1),(293,1),(422,1)}
       250:{2,3,5,6}:{(205,1),(206,1),(278,1),(289,1),(293,1),(294,1)}
       251:{1,3,4,6}:{(206,1),(207,1),(279,1),(294,1),(295,1),(358,1),(402,1),(406,1)}
       252:{2,4,5,7}:{(207,1),(208,1),(291,1),(295,1),(296,1),(362,1),(405,1),(407,1)}
       253:{2,3,5}:{(208,1),(281,1),(292,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(289,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(291,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(219,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(220,1),(227,1),(303,1),(304,1),(412,1)}
       262:{2,4,5,7}:{(218,1),(221,1),(228,1),(305,1),(317,1)}
       263:{3,4,6,7}:{(218,1),(219,1),(222,1),(302,1),(305,1),(391,1),(417,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(230,1),(303,1),(307,1),(331,1),(425,1)}
       265:{1,3,4,6}:{(220,1),(224,1),(231,1),(304,1),(307,1),(308,1),(320,1)}
       266:{3,5,6}:{(221,1),(222,1),(305,1)}
       267:{2,3,4,6}:{(222,1),(223,1),(233,1),(310,1),(311,1),(334,1),(389,1)}
       268:{1,3,4,5,7}:{(223,1),(224,1),(234,1),(307,1),(311,1),(312,1),(323,1),(373,1),(415,1),(416,1),(425,1),(426,1)}
       269:{2,4,5}:{(224,1),(308,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(230,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(231,1),(304,1),(316,1),(321,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(232,1),(245,1),(305,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(233,1),(236,1),(317,1),(318,1)}
       276:{1,4,7}:{(230,1),(231,1),(237,1)}
       277:{1,2,4,6}:{(231,1),(235,1),(238,1),(248,1),(308,1),(319,1),(320,1)}
       278:{2,5,6}:{(232,1),(233,1),(317,1),(321,1)}
       279:{1,4,6}:{(233,1),(234,1),(239,1),(321,1)}
       280:{1,2,4,5,7}:{(234,1),(235,1),(240,1),(252,1),(312,1),(319,1),(322,1),(323,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(320,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(239,1),(318,1),(325,1)}
       283:{1,2,5,7}:{(237,1),(238,1),(257,1),(319,1),(325,1),(371,1)}
       284:{1,2,6}:{(239,1),(240,1)}
       285:{1,2,3,5,7}:{(240,1),(241,1),(242,1),(323,1),(326,1),(327,1),(385,1)}
       286:{1,2,4}:{(241,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(245,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(249,1),(254,1),(328,1),(425,1)}
       289:{2,3,5,7}:{(245,1),(246,1),(250,1),(317,1),(328,1),(329,1)}
       290:{1,3,4,6,7}:{(246,1),(247,1),(251,1),(256,1),(318,1),(329,1),(330,1),(336,1),(382,1),(391,1),(415,1),(417,1)}
       291:{2,4,7}:{(247,1),(248,1),(257,1),(331,1)}
       292:{2,3,6}:{(248,1),(253,1),(320,1),(331,1)}
       293:{2,4,5,6}:{(249,1),(250,1),(328,1),(332,1),(413,1)}
       294:{1,3,5,6}:{(250,1),(251,1),(321,1),(329,1),(332,1),(333,1),(388,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(334,1)}
       296:{2,3,5,7}:{(252,1),(253,1),(323,1),(331,1),(334,1),(335,1),(390,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(329,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(264,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(265,1),(273,1),(340,1),(341,1)}
       305:{3,5,7}:{(262,1),(263,1),(266,1)}
       306:{2,3,4,6,7}:{(263,1),(264,1),(267,1),(275,1),(339,1),(343,1),(344,1),(363,1),(392,1),(405,1)}
       307:{1,3,4,7}:{(264,1),(265,1),(276,1),(340,1),(345,1),(356,1)}
       308:{2,4,6}:{(265,1),(269,1),(341,1),(345,1),(346,1)}
       309:{3,4,5,6}:{(266,1),(342,1),(347,1),(406,1)}
       310:{2,3,5,6}:{(266,1),(267,1),(278,1),(343,1),(347,1),(348,1)}
       311:{1,3,4,6}:{(267,1),(268,1),(279,1),(348,1),(349,1),(358,1),(402,1),(422,1)}
       312:{2,4,5,7}:{(268,1),(269,1),(345,1),(349,1),(350,1),(396,1),(421,1),(423,1)}
       313:{2,3,5}:{(269,1),(281,1),(346,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(276,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(278,1),(354,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(354,1)}
       319:{1,2,4,7}:{(276,1),(277,1),(283,1),(291,1),(345,1),(356,1)}
       320:{1,3,6}:{(277,1),(281,1),(292,1),(346,1),(356,1)}
       321:{1,5,6}:{(278,1),(279,1),(354,1)}
       322:{1,2,4,6}:{(279,1),(280,1),(284,1),(295,1),(349,1),(357,1),(358,1),(402,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(296,1),(350,1),(356,1),(358,1),(359,1),(403,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(284,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(284,1),(285,1),(358,1),(360,1)}
       327:{1,2,4,7}:{(285,1),(286,1),(359,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(293,1),(298,1),(361,1),(421,1)}
       329:{1,3,5,7}:{(289,1),(290,1),(294,1),(354,1),(361,1),(362,1),(404,1)}
       330:{2,4,6,7}:{(290,1),(291,1),(295,1),(300,1),(362,1),(363,1),(405,1)}
       331:{2,3,7}:{(291,1),(292,1),(356,1)}
       332:{1,4,5,6}:{(293,1),(294,1),(361,1),(364,1),(402,1)}
       333:{2,5,6}:{(294,1),(295,1),(362,1)}
       334:{2,3,6}:{(295,1),(296,1),(358,1)}
       335:{2,3,4,7}:{(296,1),(297,1),(359,1),(366,1),(405,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(362,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(305,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(307,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(308,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(309,1),(368,1),(372,1),(417,1)}
       343:{2,3,5,7}:{(305,1),(306,1),(310,1),(317,1),(372,1),(373,1)}
       344:{1,3,4,6,7}:{(306,1),(307,1),(311,1),(318,1),(370,1),(373,1),(374,1),(382,1),(408,1),(415,1),(424,1),(425,1)}
       345:{2,4,7}:{(307,1),(308,1),(371,1),(375,1)}
       346:{2,3,6}:{(308,1),(313,1),(320,1),(375,1)}
       347:{2,4,5,6}:{(309,1),(310,1),(372,1),(376,1),(389,1)}
       348:{1,3,5,6}:{(310,1),(311,1),(321,1),(373,1),(376,1),(377,1),(412,1)}
       349:{2,4,6}:{(311,1),(312,1),(377,1),(378,1)}
       350:{2,3,5,7}:{(312,1),(313,1),(323,1),(375,1),(378,1),(379,1),(414,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(321,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(322,1),(325,1),(330,1),(374,1),(381,1),(382,1),(415,1)}
       356:{1,3,7}:{(319,1),(320,1),(331,1),(375,1)}
       357:{1,2,5,6}:{(321,1),(322,1),(333,1),(377,1),(381,1),(383,1),(385,1)}
       358:{1,3,6}:{(322,1),(323,1),(334,1),(378,1)}
       359:{1,3,4,7}:{(323,1),(324,1),(327,1),(335,1),(379,1),(384,1),(415,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(332,1),(336,1),(386,1),(415,1)}
       362:{2,5,7}:{(329,1),(330,1),(333,1)}
       363:{2,3,6,7}:{(330,1),(331,1),(334,1),(382,1),(387,1),(391,1)}
       364:{2,4,5,6}:{(332,1),(333,1),(386,1),(388,1),(389,1)}
       365:{2,3,5,6}:{(333,1),(334,1),(383,1),(387,1),(388,1),(389,1),(390,1)}
       366:{2,3,4,6}:{(334,1),(335,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(343,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(345,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(347,1),(392,1),(395,1),(405,1)}
       373:{1,3,5,7}:{(343,1),(344,1),(348,1),(354,1),(395,1),(396,1),(420,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(349,1),(394,1),(396,1),(397,1),(421,1)}
       375:{2,3,7}:{(345,1),(346,1),(356,1)}
       376:{1,4,5,6}:{(347,1),(348,1),(395,1),(398,1),(402,1)}
       377:{2,5,6}:{(348,1),(349,1),(396,1)}
       378:{2,3,6}:{(349,1),(350,1),(358,1)}
       379:{2,3,4,7}:{(350,1),(351,1),(359,1),(400,1),(421,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(357,1),(362,1),(396,1),(401,1)}
       382:{1,3,6,7}:{(355,1),(356,1),(358,1),(363,1),(397,1),(401,1)}
       383:{1,3,5,6}:{(357,1),(358,1),(365,1),(399,1),(401,1),(402,1),(403,1)}
       384:{1,3,4,6}:{(358,1),(359,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(364,1),(367,1),(404,1),(405,1)}
       387:{2,3,5,7}:{(362,1),(363,1),(365,1),(401,1),(404,1),(405,1)}
       388:{3,5,6}:{(364,1),(404,1),(406,1)}
       389:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(373,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(376,1),(408,1),(410,1),(415,1)}
       396:{2,5,7}:{(373,1),(374,1),(377,1)}
       397:{2,3,6,7}:{(374,1),(375,1),(378,1),(382,1),(411,1),(424,1)}
       398:{2,4,5,6}:{(376,1),(377,1),(410,1),(412,1),(413,1)}
       399:{2,3,5,6}:{(377,1),(378,1),(383,1),(411,1),(412,1),(413,1),(414,1)}
       400:{2,3,4,6}:{(378,1),(379,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(387,1),(411,1),(415,1)}
       402:{1,4,6}:{(383,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(388,1),(391,1),(417,1)}
       405:{2,4,7}:{(387,1),(389,1),(415,1),(417,1)}
       406:{3,4,6}:{(388,1),(389,1),(417,1),(418,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(396,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(398,1),(419,1),(420,1),(421,1)}
       411:{2,3,5,7}:{(396,1),(397,1),(399,1),(401,1),(420,1),(421,1)}
       412:{3,5,6}:{(398,1),(420,1),(422,1)}
       413:{2,4,6}:{(399,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(405,1),(421,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(406,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(412,1),(424,1),(425,1)}
       421:{2,4,7}:{(411,1),(413,1),(415,1),(425,1)}
       422:{3,4,6}:{(412,1),(413,1),(425,1),(426,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(422,1),(423,1)}

1889 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1890 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(25,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(90,1),(97,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(132,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(26,1),(67,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(25,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(73,1),(76,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(115,1),(121,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(109,1),(151,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(12,1),(15,1),(39,1),(42,1),(43,1),(44,1),(90,1),(93,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,5}:{(12,1),(42,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(46,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(45,1),(47,1),(83,1),(90,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,5}:{(15,1),(42,1),(49,1)}
        30:{2,3,4,7}:{(15,1),(43,1),(51,1),(52,1),(99,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(90,1),(138,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(130,1),(162,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(132,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(109,1),(112,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,5}:{(23,1),(25,1),(29,1),(60,1),(64,1)}
        43:{1,3,4,7}:{(23,1),(26,1),(30,1),(61,1),(66,1),(67,1),(115,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,6}:{(25,1),(27,1),(32,1),(65,1),(68,1),(69,1),(106,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(66,1),(69,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(68,1),(107,1),(115,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(73,1)}
        49:{2,4,5}:{(29,1),(64,1),(72,1),(73,1)}
        50:{2,3,5,6}:{(29,1),(31,1),(32,1),(65,1),(73,1),(75,1),(76,1),(77,1),(124,1)}
        51:{2,3,5,7}:{(29,1),(30,1),(66,1),(74,1),(76,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(73,1),(77,1),(78,1),(124,1),(157,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(115,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(148,1),(169,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,5}:{(39,1),(42,1),(84,1)}
        61:{2,3,4,7}:{(39,1),(43,1),(86,1),(87,1),(132,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(90,1),(130,1)}
        64:{1,4,5}:{(42,1),(49,1),(84,1),(90,1)}
        65:{1,3,5,6}:{(42,1),(44,1),(45,1),(50,1),(85,1),(90,1),(92,1),(93,1),(138,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(46,1),(51,1),(86,1),(91,1),(93,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,5,7}:{(45,1),(47,1),(54,1),(92,1),(94,1),(129,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(99,1)}
        72:{3,4,5}:{(49,1),(97,1)}
        73:{2,4,6}:{(49,1),(50,1),(90,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(49,1),(51,1),(91,1),(98,1),(99,1),(100,1),(143,1)}
        75:{2,3,5,7}:{(50,1),(52,1),(54,1),(92,1),(99,1),(101,1),(102,1),(143,1)}
        76:{2,3,6}:{(51,1),(93,1),(100,1)}
        77:{3,5,6}:{(53,1),(97,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(99,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(60,1),(64,1),(108,1),(109,1)}
        85:{2,3,5,6}:{(60,1),(62,1),(65,1),(106,1),(109,1),(111,1),(112,1),(145,1),(151,1)}
        86:{2,3,5,7}:{(60,1),(61,1),(66,1),(110,1),(112,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(115,1),(148,1)}
        90:{1,4,6}:{(64,1),(65,1),(73,1),(109,1),(115,1)}
        91:{1,4,5,7}:{(64,1),(66,1),(74,1),(110,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(65,1),(67,1),(68,1),(75,1),(111,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(66,1),(69,1),(76,1),(112,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(73,1),(113,1),(118,1),(119,1),(124,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,6}:{(72,1),(73,1),(77,1),(121,1)}
        98:{3,4,5,7}:{(72,1),(74,1),(121,1),(122,1),(156,1)}
        99:{2,4,7}:{(73,1),(75,1),(115,1),(121,1)}
       100:{2,4,6}:{(74,1),(76,1),(116,1),(122,1),(124,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(121,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(169,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(130,1)}
       109:{2,4,6}:{(84,1),(85,1),(90,1),(130,1),(132,1)}
       110:{2,4,5,7}:{(84,1),(86,1),(91,1),(131,1),(132,1),(133,1),(163,1)}
       111:{2,3,5,7}:{(85,1),(87,1),(92,1),(129,1),(132,1),(134,1),(159,1),(163,1)}
       112:{2,3,6}:{(86,1),(93,1),(133,1)}
       113:{1,4,5,6}:{(88,1),(90,1),(95,1),(128,1),(135,1),(138,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,7}:{(90,1),(92,1),(99,1),(132,1)}
       116:{1,4,6}:{(91,1),(93,1),(100,1),(133,1),(138,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(137,1)}
       118:{3,4,5,6}:{(95,1),(97,1),(139,1),(142,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(99,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,7}:{(97,1),(99,1),(102,1)}
       122:{3,4,6}:{(98,1),(100,1),(142,1)}
       123:{2,4,6,7}:{(99,1),(100,1),(101,1),(137,1),(141,1),(143,1)}
       124:{2,5,6}:{(100,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(109,1),(113,1),(145,1),(146,1),(151,1),(170,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,6}:{(108,1),(109,1),(145,1),(148,1)}
       131:{3,4,5,7}:{(108,1),(110,1),(148,1),(149,1),(169,1)}
       132:{2,4,7}:{(109,1),(111,1),(115,1),(148,1)}
       133:{2,4,6}:{(110,1),(112,1),(116,1),(149,1),(151,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(150,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(123,1),(150,1),(153,1)}
       138:{1,5,6}:{(116,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(121,1),(154,1),(156,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(156,1),(158,1)}
       142:{3,5,6}:{(122,1),(124,1),(156,1),(157,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(156,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(156,1),(158,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(132,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,7}:{(130,1),(132,1),(159,1)}
       149:{3,4,6}:{(131,1),(133,1),(162,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(163,1)}
       151:{2,5,6}:{(133,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       157:{4,5,6}:{(142,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,4,6,7}:{(148,1),(149,1),(150,1),(167,1),(169,1),(174,1)}
       162:{3,5,6}:{(149,1),(151,1),(169,1),(170,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(156,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       170:{4,5,6}:{(162,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(169,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1891 :   0:{2,3,4,5}:{(1,1),(2,1),(27,1),(89,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(41,1),(73,1)}
         2:{1,3,4,5}:{(0,1),(5,1),(7,1),(17,1),(77,1),(81,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(123,1)}
         4:{2,3,5,6}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(29,1),(60,1),(65,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(14,1),(59,1),(90,1)}
         7:{2,4,5}:{(2,1),(13,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(42,1),(75,1),(77,1)}
         9:{2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(73,1),(121,1)}
        10:{3,4,5,7}:{(3,1),(19,1),(20,1),(102,1),(120,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(47,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(19,1),(22,1),(23,1)}
        13:{2,4,6}:{(5,1),(7,1),(21,1),(24,1),(25,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(22,1),(25,1),(46,1),(78,1),(82,1)}
        15:{2,3,5}:{(7,1),(17,1),(24,1),(26,1)}
        16:{1,2,4,6}:{(8,1),(13,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        17:{1,3,5}:{(8,1),(15,1),(27,1),(29,1),(31,1)}
        18:{1,4,5,6}:{(9,1),(11,1),(32,1),(33,1),(60,1),(116,1)}
        19:{2,4,5,7}:{(9,1),(10,1),(12,1),(33,1),(34,1),(90,1),(115,1)}
        20:{3,4,6,7}:{(10,1),(34,1),(35,1)}
        21:{2,5,6}:{(11,1),(13,1),(37,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(37,1),(38,1),(66,1)}
        23:{2,3,6,7}:{(12,1),(34,1),(38,1)}
        24:{2,3,6}:{(13,1),(15,1),(29,1),(40,1)}
        25:{2,4,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{2,3,4}:{(15,1),(31,1)}
        27:{2,3,5}:{(17,1),(41,1),(42,1),(75,1)}
        28:{1,2,5,6}:{(16,1),(21,1),(43,1),(44,1),(75,1),(105,1)}
        29:{1,3,6}:{(16,1),(17,1),(24,1),(41,1),(46,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(76,1),(78,1)}
        31:{1,3,4}:{(17,1),(26,1),(42,1)}
        32:{2,4,5,6}:{(18,1),(21,1),(47,1),(48,1),(52,1),(111,1),(122,1)}
        33:{1,4,5,7}:{(18,1),(19,1),(22,1),(48,1),(49,1),(78,1),(107,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(23,1),(49,1),(50,1)}
        35:{3,5,6,7}:{(20,1),(50,1),(51,1),(120,1)}
        36:{2,3,5,6}:{(21,1),(24,1),(43,1),(47,1),(52,1),(53,1),(55,1),(87,1),(111,1)}
        37:{2,5,7}:{(21,1),(22,1),(25,1),(54,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(49,1),(54,1),(83,1)}
        39:{2,3,4,6}:{(24,1),(26,1),(45,1),(52,1),(55,1),(56,1),(87,1)}
        40:{2,3,7}:{(24,1),(25,1),(46,1)}
        41:{2,3,6}:{(27,1),(29,1),(58,1),(59,1)}
        42:{2,4}:{(27,1),(31,1)}
        43:{1,3,5,6}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1),(63,1),(95,1),(116,1)}
        44:{1,2,5,7}:{(28,1),(30,1),(37,1),(61,1),(62,1),(92,1)}
        45:{1,3,4,6}:{(29,1),(31,1),(39,1),(58,1),(60,1),(63,1),(64,1),(88,1),(95,1)}
        46:{1,3,7}:{(29,1),(30,1),(40,1),(59,1)}
        47:{3,5,6}:{(32,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(37,1),(66,1),(67,1),(70,1),(100,1),(118,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(38,1),(67,1),(68,1)}
        50:{2,5,6,7}:{(34,1),(35,1),(68,1),(115,1)}
        51:{4,5,6,7}:{(35,1),(124,1)}
        52:{2,4,6}:{(36,1),(60,1),(65,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(40,1),(61,1),(66,1),(70,1),(71,1),(100,1)}
        54:{2,6,7}:{(37,1),(38,1)}
        55:{2,3,5}:{(39,1),(63,1),(69,1)}
        56:{2,3,4,7}:{(39,1),(40,1),(64,1),(70,1),(72,1)}
        57:{2,3,5,6}:{(41,1),(43,1),(73,1),(74,1),(75,1),(101,1),(105,1),(119,1),(121,1)}
        58:{2,4,6}:{(41,1),(42,1),(45,1),(75,1),(76,1),(105,1)}
        59:{2,3,7}:{(41,1),(46,1),(76,1)}
        60:{1,4,6}:{(43,1),(52,1),(73,1),(77,1),(78,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(53,1),(74,1),(78,1),(79,1),(107,1)}
        62:{1,2,6,7}:{(44,1),(54,1),(79,1),(105,1)}
        63:{1,3,5}:{(45,1),(55,1),(75,1),(77,1),(101,1)}
        64:{1,3,4,7}:{(45,1),(46,1),(56,1),(76,1),(78,1),(80,1),(102,1)}
        65:{3,4,6}:{(47,1),(52,1),(81,1),(82,1)}
        66:{3,5,7}:{(47,1),(48,1),(82,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(54,1),(83,1),(84,1),(110,1)}
        68:{1,5,6,7}:{(49,1),(50,1),(84,1),(107,1)}
        69:{2,4,5}:{(52,1),(55,1),(77,1),(81,1)}
        70:{2,4,7}:{(52,1),(53,1),(78,1),(82,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(79,1),(83,1),(86,1),(87,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(85,1),(87,1)}
        73:{2,4,6}:{(57,1),(60,1),(88,1),(89,1),(90,1)}
        74:{2,3,5,7}:{(57,1),(59,1),(61,1),(90,1),(91,1),(92,1),(112,1),(115,1)}
        75:{2,5}:{(58,1),(63,1)}
        76:{2,4,7}:{(58,1),(59,1),(64,1),(92,1)}
        77:{1,4,5}:{(60,1),(63,1),(69,1),(89,1)}
        78:{1,4,7}:{(60,1),(61,1),(70,1),(90,1)}
        79:{1,3,6,7}:{(61,1),(62,1),(71,1),(91,1),(94,1),(95,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(93,1),(95,1),(112,1)}
        81:{3,4,5}:{(65,1),(69,1)}
        82:{3,4,7}:{(65,1),(66,1),(70,1)}
        83:{3,6,7}:{(66,1),(67,1)}
        84:{2,5,6,7}:{(67,1),(68,1),(98,1),(100,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(96,1),(99,1),(100,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(94,1),(97,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(99,1)}
        88:{3,4,6}:{(73,1),(101,1),(102,1),(119,1)}
        89:{2,4,5}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(102,1)}
        91:{2,3,6,7}:{(74,1),(79,1),(104,1),(105,1),(119,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,5,7}:{(77,1),(78,1),(80,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,6,7}:{(78,1),(79,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(106,1),(119,1)}
        96:{3,4,5,7}:{(81,1),(82,1),(85,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(86,1),(108,1),(109,1),(110,1)}
        98:{3,5,6,7}:{(83,1),(84,1),(109,1),(110,1)}
        99:{2,4,6}:{(85,1),(87,1),(106,1),(108,1),(111,1)}
       100:{2,5,7}:{(86,1),(107,1),(109,1),(111,1)}
       101:{3,5}:{(88,1),(89,1)}
       102:{3,4,7}:{(88,1),(90,1),(112,1)}
       103:{2,4,5,7}:{(89,1),(90,1),(92,1),(93,1),(112,1),(114,1),(115,1),(124,1)}
       104:{2,4,6,7}:{(90,1),(91,1),(94,1),(113,1),(114,1),(115,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,4,6}:{(93,1),(95,1),(99,1),(114,1),(116,1)}
       107:{1,5,7}:{(94,1),(100,1),(115,1),(116,1)}
       108:{3,4,6}:{(96,1),(99,1),(117,1)}
       109:{3,5,7}:{(97,1),(100,1),(117,1),(118,1)}
       110:{4,6,7}:{(98,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(117,1)}
       112:{3,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{3,4,6,7}:{(102,1),(104,1),(119,1),(120,1),(125,1)}
       114:{2,4,6}:{(103,1),(105,1),(106,1),(119,1),(121,1),(125,1)}
       115:{2,5,7}:{(104,1),(107,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,6}:{(108,1),(109,1),(111,1),(122,1)}
       118:{4,5,7}:{(109,1),(110,1),(122,1)}
       119:{3,6}:{(112,1),(114,1)}
       120:{3,5,7}:{(113,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(123,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       124:{4,5,7}:{(120,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1892 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1893 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

1894 :   0:{3,4,5,6,7}:{(1,1),(56,1),(130,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(42,1),(148,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(160,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(6,1),(32,1),(165,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(39,1),(42,1),(142,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1),(173,1)}
         6:{2,4,5,6,7}:{(3,1),(10,1),(11,1),(23,1),(177,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(46,1),(74,1),(115,1),(142,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(49,1),(57,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(17,1),(29,1),(32,1),(158,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(181,1)}
        11:{3,5,6,7}:{(6,1),(17,1),(184,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(34,1),(35,1),(58,1),(133,1),(158,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(24,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(171,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(106,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(41,1),(145,1)}
        17:{3,4,6,7}:{(11,1),(23,1),(24,1),(176,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(151,1),(171,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(120,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(157,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(31,1),(32,1),(54,1),(126,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(163,1)}
        24:{3,4,5,7}:{(17,1),(33,1),(34,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(120,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(132,1),(157,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(140,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{2,3,5,6,7}:{(22,1),(39,1),(42,1),(70,1),(73,1),(108,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(42,1),(43,1),(146,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,4,5,6}:{(24,1),(44,1),(176,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(113,1),(140,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(122,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(56,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(56,1),(57,1),(128,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(57,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(163,1)}
        45:{3,4,5,6,7}:{(34,1),(59,1),(185,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(122,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(132,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(138,1),(144,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(140,1),(172,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1),(73,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{3,4,6,7}:{(42,1),(73,1),(110,1)}
        57:{2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(74,1),(146,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(178,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(106,1),(113,1),(140,1),(152,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(113,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(152,1),(177,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(119,1),(169,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(91,1),(119,1),(125,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(157,1),(163,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(120,1),(182,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(122,1),(128,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1),(92,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{3,5,7}:{(56,1),(57,1),(92,1)}
        74:{2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(128,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(93,1),(166,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(168,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(122,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(130,1),(134,1),(165,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(169,1),(186,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(180,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(110,1),(140,1),(146,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(172,1),(178,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(105,1),(140,1),(146,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(105,1),(106,1),(187,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(105,1),(107,1),(108,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(109,1),(111,1)}
        91:{3,4,5,7}:{(73,1),(107,1),(110,1)}
        92:{3,5,6}:{(73,1),(74,1),(110,1)}
        93:{2,4,5,6,7}:{(74,1),(75,1),(109,1),(111,1),(149,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(112,1),(113,1),(140,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(113,1),(151,1)}
        96:{2,3,5}:{(77,1),(78,1),(113,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(116,1),(117,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(117,1),(150,1),(154,1),(179,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(118,1),(119,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(119,1),(120,1),(125,1),(156,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(119,1),(122,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(122,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(123,1),(131,1),(159,1),(166,1)}
       104:{2,3,4,6,7}:{(86,1),(118,1),(124,1),(157,1),(163,1),(182,1),(185,1)}
       105:{1,3,5,7}:{(86,1),(87,1),(88,1),(124,1),(125,1),(126,1)}
       106:{1,2,5,6}:{(87,1),(89,1),(120,1),(126,1),(181,1)}
       107:{2,4,5,7}:{(88,1),(91,1),(125,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(92,1),(122,1),(126,1),(128,1)}
       109:{2,5,6,7}:{(89,1),(90,1),(123,1)}
       110:{3,4,6}:{(91,1),(92,1),(128,1)}
       111:{3,5,6,7}:{(92,1),(93,1),(131,1)}
       112:{2,3,4,6}:{(94,1),(118,1),(132,1),(157,1),(168,1)}
       113:{1,3,5}:{(94,1),(95,1),(96,1),(132,1)}
       114:{1,2,4,5,6}:{(95,1),(97,1),(120,1),(134,1),(135,1),(165,1),(168,1),(181,1)}
       115:{2,3,4,5}:{(96,1),(133,1),(136,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(122,1),(134,1),(136,1),(137,1)}
       117:{2,4,5,7}:{(97,1),(98,1),(123,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(112,1),(138,1),(180,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(113,1),(138,1),(140,1)}
       120:{1,2,4,6}:{(100,1),(102,1),(106,1),(140,1),(146,1),(171,1)}
       121:{2,3,4,5,7}:{(101,1),(107,1),(115,1),(139,1),(142,1),(155,1),(175,1)}
       122:{2,3,6}:{(101,1),(102,1),(140,1)}
       123:{2,4,6,7}:{(102,1),(103,1),(109,1),(117,1),(143,1)}
       124:{2,3,5,7}:{(104,1),(105,1),(144,1),(145,1),(187,1),(188,1)}
       125:{1,4,5,7}:{(105,1),(107,1),(144,1),(146,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(108,1),(140,1),(145,1),(146,1)}
       127:{1,2,5,6,7}:{(106,1),(109,1),(141,1),(147,1),(187,1)}
       128:{2,4,6}:{(107,1),(108,1),(110,1),(146,1)}
       129:{2,3,5,6,7}:{(108,1),(109,1),(111,1),(143,1),(147,1),(149,1),(175,1)}
       130:{3,4,5,6}:{(110,1),(148,1),(150,1)}
       131:{3,4,6,7}:{(110,1),(111,1),(149,1),(150,1)}
       132:{2,3,5}:{(112,1),(113,1),(151,1)}
       133:{1,3,4,5}:{(113,1),(115,1),(151,1),(153,1)}
       134:{1,3,5,6}:{(113,1),(114,1),(116,1),(140,1),(152,1),(153,1),(154,1)}
       135:{1,2,4,5,7}:{(114,1),(117,1),(141,1),(154,1),(179,1),(180,1),(187,1)}
       136:{2,3,4,6}:{(115,1),(116,1),(153,1),(155,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(143,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(132,1),(156,1),(157,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(125,1),(133,1),(156,1),(158,1),(162,1),(170,1),(183,1)}
       140:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(127,1),(135,1),(159,1),(166,1),(182,1)}
       142:{2,3,4,6}:{(121,1),(122,1),(128,1),(158,1),(160,1)}
       143:{2,3,6,7}:{(122,1),(123,1),(137,1),(159,1)}
       144:{2,4,5,7}:{(124,1),(125,1),(162,1),(163,1)}
       145:{2,3,5,6}:{(124,1),(126,1),(157,1),(163,1),(181,1),(184,1)}
       146:{1,4,6}:{(125,1),(126,1),(128,1),(163,1)}
       147:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(159,1),(164,1),(166,1),(183,1)}
       148:{2,4,5,6}:{(128,1),(130,1),(160,1),(165,1),(167,1)}
       149:{2,4,6,7}:{(128,1),(129,1),(131,1),(166,1),(167,1)}
       150:{3,4,5,7}:{(130,1),(131,1),(167,1)}
       151:{2,4,5}:{(132,1),(133,1),(168,1)}
       152:{2,3,5,6}:{(132,1),(134,1),(157,1),(168,1),(169,1),(181,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(136,1),(168,1),(170,1)}
       154:{1,3,5,7}:{(134,1),(135,1),(137,1),(159,1),(169,1),(170,1)}
       155:{2,3,4,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(151,1),(171,1),(180,1),(187,1)}
       157:{2,3,6}:{(138,1),(140,1),(171,1)}
       158:{1,3,4,6}:{(139,1),(140,1),(142,1),(146,1),(171,1),(173,1),(176,1)}
       159:{1,3,6,7}:{(140,1),(141,1),(143,1),(154,1),(172,1)}
       160:{2,3,5,6}:{(142,1),(148,1),(173,1),(175,1)}
       161:{2,3,4,6,7}:{(142,1),(143,1),(149,1),(155,1),(174,1),(175,1)}
       162:{3,4,5,7}:{(144,1),(176,1),(188,1)}
       163:{2,4,6}:{(144,1),(145,1),(146,1),(176,1)}
       164:{2,3,5,6,7}:{(145,1),(147,1),(172,1),(178,1),(187,1),(188,1)}
       165:{1,4,5,6}:{(146,1),(148,1),(173,1),(177,1),(179,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(149,1),(178,1),(179,1)}
       167:{2,4,5,7}:{(148,1),(149,1),(150,1),(175,1),(179,1)}
       168:{2,4,6}:{(151,1),(152,1),(153,1),(180,1)}
       169:{2,3,5,7}:{(152,1),(154,1),(172,1),(180,1),(187,1)}
       170:{1,3,4,7}:{(153,1),(154,1),(155,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(158,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(169,1),(182,1)}
       173:{1,3,5,6}:{(158,1),(160,1),(165,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6,7}:{(158,1),(159,1),(161,1),(166,1),(170,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,7}:{(160,1),(161,1),(167,1),(183,1)}
       176:{3,4,6}:{(162,1),(163,1),(184,1)}
       177:{2,4,5,6}:{(163,1),(165,1),(181,1),(184,1),(186,1)}
       178:{2,4,6,7}:{(163,1),(164,1),(166,1),(185,1),(186,1)}
       179:{1,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(186,1)}
       180:{2,4,7}:{(168,1),(169,1),(170,1)}
       181:{2,5,6}:{(171,1),(173,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(174,1),(180,1),(187,1)}
       183:{1,3,5,7}:{(173,1),(174,1),(175,1),(179,1),(187,1),(188,1)}
       184:{3,5,6}:{(176,1),(177,1),(188,1)}
       185:{3,4,6,7}:{(176,1),(178,1),(188,1)}
       186:{2,4,5,7}:{(177,1),(178,1),(179,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

1895 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1896 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1897 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(48,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(31,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(67,1),(105,1),(106,1),(110,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(46,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(133,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(89,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(29,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(118,1),(141,1),(151,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(29,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(30,1),(32,1),(33,1),(62,1),(66,1),(104,1),(110,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(68,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(46,1),(83,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(89,1),(132,1),(160,1),(164,1),(171,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(46,1),(129,1),(138,1),(156,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(46,1),(47,1),(127,1),(134,1)}
        31:{1,3,6,7}:{(17,1),(44,1),(47,1),(48,1),(124,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(46,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(47,1),(50,1),(51,1),(84,1),(89,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(91,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(68,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(31,1),(64,1),(69,1),(105,1)}
        45:{2,4,5}:{(28,1),(32,1),(66,1),(67,1),(110,1),(150,1)}
        46:{2,4,7}:{(29,1),(30,1),(32,1),(69,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(33,1),(64,1),(69,1),(70,1),(113,1)}
        48:{1,2,6,7}:{(31,1),(70,1),(143,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(68,1),(71,1),(104,1),(115,1),(150,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,2,5,6}:{(33,1),(70,1),(72,1),(110,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(112,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(91,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(46,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(48,1),(56,1),(82,1),(87,1),(88,1),(92,1),(125,1),(129,1),(133,1),(157,1),(172,1)}
        66:{2,3,5}:{(45,1),(49,1),(89,1),(164,1),(171,1),(173,1)}
        67:{1,4,5}:{(45,1),(50,1),(89,1),(163,1)}
        68:{2,3,4,7}:{(46,1),(49,1),(85,1),(91,1),(134,1),(138,1),(156,1),(162,1)}
        69:{1,4,7}:{(46,1),(47,1),(50,1)}
        70:{1,2,5,7}:{(47,1),(48,1),(51,1),(92,1),(127,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(132,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(134,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(112,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(68,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(69,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(113,1),(144,1),(151,1),(167,1)}
        89:{1,3,5}:{(66,1),(67,1),(71,1),(110,1),(174,1)}
        90:{1,2,4,5}:{(67,1),(72,1),(110,1),(111,1),(150,1)}
        91:{1,3,4,7}:{(68,1),(69,1),(71,1),(107,1),(112,1),(113,1),(151,1),(170,1)}
        92:{1,2,4,7}:{(69,1),(70,1),(72,1),(112,1),(113,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(150,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(134,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,5}:{(89,1),(93,1)}
       111:{1,3,5}:{(90,1),(94,1),(131,1),(132,1)}
       112:{2,4,7}:{(91,1),(93,1),(127,1),(134,1)}
       113:{1,3,7}:{(92,1),(94,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(133,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,5}:{(110,1),(114,1),(149,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(115,1),(149,1),(150,1)}
       132:{1,3,4}:{(111,1),(150,1)}
       133:{1,2,4,7}:{(112,1),(114,1),(146,1),(151,1),(170,1)}
       134:{2,3,7}:{(112,1),(113,1),(115,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(151,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(133,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(134,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(132,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,5}:{(130,1),(131,1),(135,1),(163,1)}
       150:{2,4}:{(131,1),(132,1),(163,1)}
       151:{1,3,7}:{(133,1),(134,1),(135,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(170,1)}
       163:{1,4}:{(149,1),(150,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1898 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1899 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(51,1),(117,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(22,1),(24,1),(62,1),(65,1),(127,1),(192,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(30,1),(77,1),(145,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(153,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(29,1),(37,1),(75,1),(87,1),(141,1),(153,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(39,1),(89,1),(227,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(19,1),(51,1),(177,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(108,1),(183,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(18,1),(51,1),(55,1),(108,1)}
         9:{2,5,6,7}:{(3,1),(18,1),(19,1),(191,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(18,1),(20,1),(21,1),(58,1),(119,1),(191,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(20,1),(22,1),(127,1)}
        12:{1,4,5,6}:{(5,1),(21,1),(22,1),(121,1),(257,1)}
        13:{2,3,4,5}:{(17,1),(26,1),(122,1),(132,1),(202,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(213,1)}
        15:{3,4,6,7}:{(7,1),(29,1),(30,1)}
        16:{2,3,5,6,7}:{(7,1),(9,1),(28,1),(30,1),(31,1),(34,1),(71,1),(74,1)}
        17:{2,3,4,6}:{(11,1),(13,1),(32,1),(33,1),(89,1),(148,1),(165,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(10,1),(34,1),(35,1),(82,1)}
        19:{1,5,6,7}:{(9,1),(35,1),(226,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(32,1),(34,1),(37,1),(141,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(35,1),(37,1),(155,1),(226,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(38,1),(39,1),(40,1),(80,1),(89,1),(94,1),(154,1),(158,1),(163,1),(225,1),(227,1),(228,1),(236,1),(279,1),(287,1),(308,1)}
        24:{3,4,5,6}:{(29,1),(42,1),(221,1),(286,1)}
        25:{2,3,4,5,7}:{(13,1),(32,1),(43,1),(44,1),(74,1),(134,1),(156,1),(159,1),(168,1),(217,1),(270,1),(274,1),(287,1),(307,1)}
        26:{1,3,4,5}:{(13,1),(33,1),(45,1),(98,1),(158,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(51,1),(102,1),(108,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(246,1)}
        29:{3,4,5,7}:{(15,1),(24,1),(49,1),(183,1),(294,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1)}
        31:{1,3,5,6,7}:{(16,1),(19,1),(48,1),(51,1),(52,1),(55,1),(102,1),(105,1),(108,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(53,1),(119,1),(180,1),(185,1)}
        33:{1,3,4,6}:{(17,1),(22,1),(26,1),(53,1),(54,1),(112,1),(121,1)}
        34:{2,3,6,7}:{(18,1),(20,1),(55,1),(108,1)}
        35:{1,4,6,7}:{(18,1),(19,1),(21,1),(55,1)}
        36:{1,2,5,6,7}:{(19,1),(52,1),(56,1),(57,1),(174,1),(178,1),(191,1),(257,1),(297,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(55,1),(58,1)}
        38:{1,2,4,5,7}:{(21,1),(23,1),(56,1),(58,1),(59,1),(106,1),(110,1),(117,1),(119,1),(178,1),(191,1),(193,1),(249,1),(255,1),(295,1)}
        39:{2,5,6}:{(22,1),(54,1),(58,1)}
        40:{1,3,5,6}:{(23,1),(59,1),(61,1),(62,1),(112,1),(127,1),(189,1),(256,1),(302,1),(313,1)}
        41:{1,3,4,5,6}:{(24,1),(46,1),(63,1),(65,1),(124,1),(127,1),(199,1),(247,1)}
        42:{2,4,5,6}:{(24,1),(49,1),(64,1),(65,1),(264,1)}
        43:{2,3,4,6}:{(25,1),(64,1),(66,1),(194,1),(203,1),(251,1),(264,1),(292,1),(313,1)}
        44:{1,3,4,5,7}:{(25,1),(26,1),(53,1),(66,1),(67,1),(105,1),(130,1),(171,1),(180,1),(193,1),(195,1),(202,1),(249,1),(265,1),(291,1)}
        45:{2,4,5}:{(26,1),(54,1),(69,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(41,1),(70,1),(75,1),(135,1),(141,1),(210,1),(213,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(137,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(272,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(42,1),(74,1),(75,1),(274,1)}
        50:{2,3,4,6,7}:{(30,1),(32,1),(34,1),(43,1),(71,1),(74,1),(76,1),(134,1),(144,1),(152,1),(212,1),(218,1),(274,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(75,1),(77,1)}
        52:{2,5,6,7}:{(31,1),(77,1),(82,1),(137,1),(140,1)}
        53:{1,3,4,7}:{(32,1),(33,1),(37,1),(79,1),(146,1),(155,1)}
        54:{2,4,6}:{(33,1),(39,1),(45,1),(79,1),(81,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(37,1),(82,1)}
        56:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(77,1),(82,1),(83,1),(84,1),(152,1),(228,1),(279,1),(308,1)}
        57:{1,3,5,6,7}:{(36,1),(78,1),(83,1),(84,1),(153,1),(211,1),(215,1),(272,1),(278,1)}
        58:{2,5,7}:{(37,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(38,1),(40,1),(83,1),(86,1),(87,1),(141,1),(146,1),(307,1)}
        60:{1,2,5,6}:{(39,1),(80,1),(85,1),(88,1),(225,1),(279,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(81,1),(86,1),(88,1),(89,1),(148,1),(150,1),(224,1),(225,1),(227,1),(279,1)}
        62:{1,3,4,6}:{(40,1),(87,1),(89,1),(90,1),(165,1),(236,1),(286,1)}
        63:{2,4,5,6}:{(41,1),(70,1),(91,1),(92,1),(161,1),(233,1),(273,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(74,1),(93,1),(221,1),(227,1),(273,1)}
        65:{1,4,5,6}:{(42,1),(75,1),(93,1),(94,1),(236,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(93,1),(95,1),(165,1),(166,1),(228,1),(236,1),(306,1)}
        67:{2,4,5,7}:{(44,1),(45,1),(79,1),(95,1),(97,1),(140,1),(207,1),(216,1),(229,1),(237,1)}
        68:{1,2,4,5}:{(45,1),(80,1),(98,1),(158,1),(170,1),(225,1)}
        69:{2,3,5}:{(45,1),(81,1),(98,1),(99,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(63,1),(100,1),(101,1),(172,1),(243,1),(246,1)}
        71:{2,3,6,7}:{(47,1),(100,1),(102,1),(108,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(101,1),(102,1)}
        73:{1,2,5,6,7}:{(48,1),(52,1),(103,1),(104,1),(114,1),(178,1),(246,1),(293,1),(297,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(64,1),(105,1),(183,1),(191,1),(246,1)}
        75:{1,4,5,7}:{(49,1),(51,1),(65,1),(105,1),(106,1),(249,1)}
        76:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(55,1),(66,1),(102,1),(105,1),(107,1),(108,1),(171,1),(180,1),(181,1),(190,1),(245,1),(249,1)}
        77:{2,4,6,7}:{(51,1),(52,1),(106,1),(108,1)}
        78:{2,3,5,6,7}:{(52,1),(57,1),(104,1),(108,1),(109,1),(115,1),(175,1),(179,1),(183,1),(191,1),(246,1),(248,1),(254,1),(297,1),(313,1)}
        79:{2,4,7}:{(53,1),(54,1),(58,1),(111,1)}
        80:{1,2,4,6}:{(54,1),(60,1),(68,1),(110,1),(112,1),(121,1),(188,1)}
        81:{2,3,6}:{(54,1),(69,1),(111,1),(112,1)}
        82:{2,6,7}:{(55,1),(58,1)}
        83:{1,3,6,7}:{(56,1),(59,1),(108,1),(115,1),(256,1),(313,1)}
        84:{1,4,6,7}:{(57,1),(109,1),(117,1),(249,1),(296,1)}
        85:{1,2,5,7}:{(58,1),(60,1),(110,1),(114,1),(118,1),(255,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(111,1),(115,1),(118,1),(119,1),(185,1),(191,1),(255,1)}
        87:{1,3,4,7}:{(59,1),(62,1),(119,1),(180,1),(249,1),(294,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(112,1),(118,1),(121,1),(189,1),(256,1),(257,1)}
        89:{2,4,6}:{(61,1),(62,1),(119,1),(121,1),(122,1)}
        90:{1,3,4,5}:{(62,1),(122,1),(189,1),(202,1),(265,1),(302,1)}
        91:{2,3,5,6}:{(63,1),(100,1),(123,1),(124,1),(127,1)}
        92:{1,4,5,6}:{(63,1),(101,1),(124,1),(262,1),(293,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(66,1),(105,1),(126,1),(127,1),(257,1),(293,1)}
        94:{2,4,5,6}:{(65,1),(106,1),(126,1),(127,1),(201,1)}
        95:{2,4,6}:{(66,1),(67,1),(126,1),(129,1)}
        96:{1,2,4,5,7}:{(67,1),(68,1),(110,1),(128,1),(130,1),(178,1),(193,1),(206,1),(240,1),(249,1),(255,1),(258,1),(265,1),(266,1),(291,1),(295,1),(311,1)}
        97:{2,3,5,7}:{(67,1),(69,1),(111,1),(129,1),(130,1),(131,1),(205,1),(241,1),(259,1)}
        98:{1,3,5}:{(68,1),(69,1),(112,1),(132,1),(133,1)}
        99:{2,3,4}:{(69,1),(133,1)}
       100:{2,3,5,7}:{(70,1),(71,1),(91,1),(134,1),(135,1),(141,1)}
       101:{1,4,5,7}:{(70,1),(72,1),(92,1),(135,1),(269,1),(272,1)}
       102:{1,3,6,7}:{(71,1),(72,1),(135,1),(137,1)}
       103:{1,2,4,6,7}:{(72,1),(73,1),(77,1),(136,1),(137,1),(138,1),(139,1),(212,1),(306,1),(308,1),(314,1)}
       104:{1,3,5,6,7}:{(73,1),(78,1),(138,1),(139,1),(151,1),(213,1),(215,1),(226,1),(278,1)}
       105:{1,3,5,7}:{(74,1),(75,1),(76,1),(93,1),(140,1),(141,1),(226,1),(272,1)}
       106:{2,4,5,7}:{(75,1),(77,1),(94,1),(140,1),(141,1),(216,1)}
       107:{2,4,6,7}:{(76,1),(79,1),(82,1),(95,1),(137,1),(140,1),(143,1),(207,1),(216,1)}
       108:{3,6,7}:{(77,1),(141,1)}
       109:{2,4,6,7}:{(78,1),(84,1),(139,1),(144,1),(145,1),(216,1),(274,1),(276,1),(308,1)}
       110:{1,2,4,7}:{(79,1),(80,1),(85,1),(146,1),(155,1),(222,1)}
       111:{2,3,7}:{(79,1),(81,1),(146,1)}
       112:{1,3,6}:{(80,1),(81,1),(98,1),(146,1),(148,1)}
       113:{2,3,4,6}:{(81,1),(89,1),(99,1),(147,1),(149,1),(150,1),(224,1),(286,1)}
       114:{1,2,6,7}:{(82,1),(85,1),(151,1),(279,1)}
       115:{2,3,6,7}:{(82,1),(83,1),(86,1),(151,1),(152,1),(224,1),(279,1)}
       116:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(144,1),(152,1),(153,1),(157,1)}
       117:{1,4,5,7}:{(84,1),(145,1),(153,1),(154,1),(272,1)}
       118:{1,3,5,7}:{(85,1),(86,1),(88,1),(146,1),(151,1),(155,1),(226,1)}
       119:{2,4,7}:{(86,1),(87,1),(89,1),(155,1)}
       120:{1,3,4,5,7}:{(87,1),(90,1),(153,1),(156,1),(157,1),(217,1),(223,1),(275,1),(307,1)}
       121:{1,4,6}:{(88,1),(89,1),(155,1),(158,1)}
       122:{2,4,5}:{(89,1),(90,1),(150,1),(158,1),(225,1)}
       123:{2,3,4,6}:{(91,1),(134,1),(159,1),(160,1),(165,1),(233,1),(282,1)}
       124:{1,3,5,6}:{(91,1),(92,1),(135,1),(160,1),(161,1)}
       125:{1,2,4,5,6}:{(92,1),(94,1),(136,1),(161,1),(162,1),(163,1),(214,1),(230,1),(233,1),(236,1),(273,1),(285,1),(287,1),(306,1),(308,1),(310,1),(314,1)}
       126:{2,5,6}:{(93,1),(95,1),(140,1)}
       127:{3,5,6}:{(94,1),(141,1),(165,1)}
       128:{1,2,4,6}:{(95,1),(96,1),(163,1),(166,1),(228,1),(236,1),(238,1),(279,1),(306,1),(308,1),(314,1)}
       129:{2,3,6}:{(95,1),(97,1),(166,1)}
       130:{1,3,5,7}:{(96,1),(97,1),(98,1),(146,1),(166,1),(168,1),(169,1),(239,1),(267,1),(280,1),(307,1)}
       131:{2,3,4,7}:{(97,1),(99,1),(167,1),(169,1),(216,1),(281,1)}
       132:{2,3,5}:{(98,1),(148,1),(170,1),(225,1)}
       133:{1,3,4}:{(98,1),(99,1),(170,1)}
       134:{2,3,4,7}:{(100,1),(123,1),(171,1),(180,1),(243,1),(288,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(102,1),(124,1),(171,1),(172,1)}
       136:{1,2,4,5,7}:{(101,1),(103,1),(106,1),(125,1),(172,1),(173,1),(177,1),(178,1),(240,1),(243,1),(246,1),(249,1),(291,1),(295,1),(311,1)}
       137:{2,6,7}:{(102,1),(172,1)}
       138:{1,3,6,7}:{(103,1),(108,1),(173,1),(175,1),(312,1),(313,1)}
       139:{1,4,6,7}:{(104,1),(109,1),(177,1),(249,1),(296,1)}
       140:{2,5,7}:{(105,1),(107,1),(126,1)}
       141:{3,5,7}:{(106,1),(108,1),(127,1),(180,1)}
       142:{1,2,4,6,7}:{(107,1),(110,1),(114,1),(128,1),(174,1),(178,1),(181,1),(190,1),(240,1),(245,1),(249,1),(252,1)}
       143:{2,3,6,7}:{(107,1),(108,1),(111,1),(129,1),(179,1),(181,1),(241,1)}
       144:{3,4,6,7}:{(108,1),(109,1),(180,1),(183,1),(251,1),(294,1),(313,1)}
       145:{2,4,5,7}:{(109,1),(117,1),(177,1),(183,1),(184,1),(191,1),(246,1)}
       146:{1,3,7}:{(110,1),(111,1),(112,1),(185,1)}
       147:{2,3,4,7}:{(111,1),(113,1),(119,1),(186,1),(187,1),(294,1)}
       148:{2,3,6}:{(112,1),(132,1),(185,1),(188,1)}
       149:{1,3,4,6}:{(112,1),(113,1),(121,1),(133,1),(186,1),(188,1),(189,1),(256,1)}
       150:{2,3,5}:{(113,1),(122,1),(189,1),(302,1)}
       151:{1,3,6,7}:{(114,1),(115,1),(118,1),(190,1),(256,1)}
       152:{2,4,6,7}:{(115,1),(116,1),(119,1),(190,1),(191,1),(194,1)}
       153:{1,3,5,7}:{(116,1),(117,1),(183,1),(191,1),(192,1)}
       154:{1,4,5,6}:{(117,1),(184,1),(192,1),(293,1),(296,1)}
       155:{1,4,7}:{(118,1),(119,1),(121,1)}
       156:{2,4,5,7}:{(119,1),(120,1),(122,1),(187,1),(191,1),(193,1),(194,1),(255,1)}
       157:{1,3,4,6}:{(120,1),(192,1),(194,1),(251,1),(256,1),(296,1),(313,1)}
       158:{1,4,5}:{(121,1),(122,1),(189,1)}
       159:{2,3,4,5}:{(123,1),(195,1),(202,1),(263,1),(298,1)}
       160:{1,3,4,6}:{(123,1),(124,1),(171,1),(195,1),(196,1),(260,1),(262,1)}
       161:{2,5,6}:{(124,1),(172,1),(196,1)}
       162:{1,3,5,6}:{(125,1),(127,1),(173,1),(198,1),(199,1),(260,1),(301,1),(302,1),(312,1),(313,1)}
       163:{1,2,5,6}:{(126,1),(128,1),(178,1),(200,1),(257,1),(266,1),(293,1),(297,1)}
       164:{2,3,5,6}:{(126,1),(127,1),(129,1),(179,1),(200,1),(201,1),(205,1)}
       165:{3,4,6}:{(127,1),(180,1),(201,1),(202,1)}
       166:{1,3,6}:{(128,1),(129,1),(130,1),(203,1),(313,1)}
       167:{2,3,4,6}:{(129,1),(131,1),(201,1),(204,1),(205,1)}
       168:{2,3,5,7}:{(130,1),(132,1),(185,1),(203,1),(206,1),(255,1),(266,1),(288,1),(298,1),(311,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(133,1),(204,1),(206,1),(249,1),(294,1),(299,1)}
       170:{2,4}:{(132,1),(133,1)}
       171:{1,3,4,7}:{(134,1),(135,1),(160,1),(207,1),(267,1),(269,1)}
       172:{2,5,7}:{(135,1),(137,1),(161,1),(207,1)}
       173:{1,3,5,7}:{(136,1),(138,1),(141,1),(162,1),(209,1),(210,1),(267,1),(307,1)}
       174:{1,2,6,7}:{(137,1),(208,1),(211,1),(314,1)}
       175:{2,3,6,7}:{(137,1),(138,1),(209,1),(211,1),(212,1),(305,1),(314,1)}
       176:{1,3,4,6,7}:{(138,1),(139,1),(144,1),(210,1),(212,1),(213,1),(271,1)}
       177:{1,4,5,7}:{(139,1),(145,1),(213,1),(214,1),(226,1)}
       178:{1,2,5,7}:{(140,1),(142,1),(163,1),(215,1),(226,1),(272,1),(277,1)}
       179:{2,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(215,1),(216,1)}
       180:{3,4,7}:{(141,1),(165,1),(216,1)}
       181:{1,3,6,7}:{(142,1),(143,1),(146,1),(166,1),(215,1),(218,1),(267,1)}
       182:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(152,1),(167,1),(212,1),(216,1),(219,1),(220,1),(224,1),(268,1),(276,1),(305,1)}
       183:{3,5,7}:{(144,1),(145,1),(221,1)}
       184:{2,4,5,6}:{(145,1),(154,1),(214,1),(221,1),(227,1),(273,1),(276,1),(308,1)}
       185:{2,3,7}:{(146,1),(148,1),(222,1)}
       186:{1,3,4,7}:{(146,1),(147,1),(149,1),(155,1),(222,1),(223,1)}
       187:{2,3,5,7}:{(147,1),(150,1),(156,1),(223,1),(224,1),(307,1)}
       188:{2,4,6}:{(148,1),(149,1),(170,1),(222,1),(225,1),(279,1)}
       189:{1,3,5}:{(149,1),(150,1),(158,1),(225,1)}
       190:{1,4,6,7}:{(151,1),(152,1),(155,1),(226,1),(228,1)}
       191:{2,5,7}:{(152,1),(153,1),(226,1),(227,1)}
       192:{1,3,5,6}:{(153,1),(154,1),(157,1),(221,1),(227,1)}
       193:{1,4,5,7}:{(155,1),(156,1),(158,1),(223,1),(226,1),(228,1)}
       194:{2,4,6}:{(156,1),(157,1),(224,1),(227,1),(228,1),(279,1)}
       195:{1,3,4,5}:{(159,1),(160,1),(229,1),(280,1),(285,1)}
       196:{2,4,6}:{(160,1),(161,1),(207,1),(229,1),(231,1)}
       197:{1,2,5,6}:{(161,1),(208,1),(230,1),(232,1),(310,1),(314,1)}
       198:{2,3,5,6}:{(161,1),(162,1),(209,1),(231,1),(232,1),(233,1),(273,1),(282,1),(284,1),(305,1),(310,1),(314,1)}
       199:{1,3,4,6}:{(162,1),(165,1),(210,1),(233,1),(234,1),(236,1),(286,1)}
       200:{1,3,5,6}:{(163,1),(164,1),(166,1),(215,1),(235,1),(236,1),(239,1)}
       201:{2,4,6}:{(164,1),(165,1),(216,1),(236,1),(237,1)}
       202:{3,4,5}:{(165,1),(237,1)}
       203:{2,3,6}:{(166,1),(168,1),(238,1),(279,1),(314,1)}
       204:{1,3,4,6}:{(166,1),(167,1),(169,1),(236,1),(238,1),(239,1),(286,1)}
       205:{2,3,5}:{(167,1),(237,1),(239,1)}
       206:{2,4,7}:{(168,1),(169,1),(170,1),(238,1),(309,1)}
       207:{2,4,7}:{(171,1),(172,1),(196,1),(241,1)}
       208:{1,2,5,7}:{(172,1),(174,1),(197,1),(240,1),(242,1),(311,1)}
       209:{2,3,5,7}:{(172,1),(173,1),(175,1),(198,1),(241,1),(242,1),(243,1),(246,1),(288,1),(311,1)}
       210:{1,3,4,7}:{(173,1),(180,1),(199,1),(243,1),(249,1),(294,1)}
       211:{1,3,6,7}:{(174,1),(175,1),(242,1),(245,1),(312,1)}
       212:{2,4,6,7}:{(175,1),(176,1),(243,1),(245,1),(246,1),(292,1)}
       213:{1,3,5,7}:{(176,1),(177,1),(183,1),(246,1),(247,1)}
       214:{1,4,5,6}:{(177,1),(184,1),(247,1),(257,1),(296,1)}
       215:{1,3,5,7}:{(178,1),(179,1),(181,1),(200,1),(248,1),(249,1)}
       216:{2,4,7}:{(179,1),(180,1),(201,1),(249,1)}
       217:{3,4,5,7}:{(180,1),(183,1),(202,1),(250,1),(251,1)}
       218:{2,3,6,7}:{(181,1),(185,1),(203,1),(248,1),(252,1),(288,1),(313,1)}
       219:{1,3,4,6,7}:{(181,1),(182,1),(186,1),(190,1),(204,1),(245,1),(249,1),(252,1),(253,1),(256,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       220:{2,3,5,7}:{(182,1),(183,1),(191,1),(205,1),(246,1),(250,1),(253,1),(254,1)}
       221:{3,5,6}:{(183,1),(184,1),(251,1),(313,1)}
       222:{2,4,7}:{(185,1),(186,1),(188,1),(255,1)}
       223:{1,3,5,7}:{(186,1),(187,1),(189,1),(193,1),(255,1),(256,1)}
       224:{2,3,6}:{(187,1),(194,1),(256,1),(313,1)}
       225:{2,5}:{(188,1),(189,1)}
       226:{1,5,7}:{(190,1),(191,1),(257,1)}
       227:{2,5,6}:{(191,1),(192,1),(194,1),(257,1)}
       228:{1,4,6}:{(193,1),(194,1),(256,1),(257,1)}
       229:{2,4,5}:{(195,1),(196,1),(259,1)}
       230:{1,2,4,6}:{(196,1),(197,1),(240,1),(258,1),(260,1),(262,1),(300,1)}
       231:{2,3,6}:{(196,1),(241,1),(259,1),(260,1)}
       232:{1,3,5,6}:{(197,1),(198,1),(242,1),(260,1),(262,1),(293,1),(301,1),(312,1)}
       233:{2,4,6}:{(198,1),(199,1),(243,1),(262,1),(263,1)}
       234:{1,3,4,5}:{(199,1),(202,1),(263,1),(265,1),(301,1),(302,1)}
       235:{2,3,5,6}:{(200,1),(203,1),(248,1),(264,1),(266,1),(297,1),(302,1),(313,1)}
       236:{1,4,6}:{(200,1),(201,1),(249,1),(264,1),(265,1)}
       237:{2,4,5}:{(201,1),(202,1),(205,1),(265,1)}
       238:{2,4,6}:{(203,1),(204,1),(206,1),(266,1)}
       239:{1,3,5}:{(204,1),(205,1),(265,1),(266,1),(302,1)}
       240:{1,2,4,7}:{(207,1),(208,1),(230,1),(267,1),(269,1),(303,1)}
       241:{2,3,7}:{(207,1),(231,1),(267,1)}
       242:{1,3,5,7}:{(208,1),(209,1),(211,1),(232,1),(267,1),(269,1),(272,1)}
       243:{2,4,7}:{(209,1),(210,1),(233,1),(269,1)}
       244:{1,3,4,5,7}:{(210,1),(213,1),(217,1),(234,1),(270,1),(271,1),(275,1),(304,1),(307,1)}
       245:{1,4,6,7}:{(211,1),(212,1),(269,1),(272,1),(306,1)}
       246:{2,5,7}:{(212,1),(213,1),(272,1),(273,1)}
       247:{1,3,5,6}:{(213,1),(214,1),(221,1),(271,1),(273,1)}
       248:{2,3,5,7}:{(215,1),(218,1),(235,1),(274,1),(277,1),(307,1)}
       249:{1,4,7}:{(215,1),(216,1),(236,1),(274,1)}
       250:{2,4,5,7}:{(216,1),(217,1),(220,1),(237,1),(275,1),(276,1)}
       251:{3,4,6}:{(217,1),(221,1),(276,1)}
       252:{2,4,6,7}:{(218,1),(219,1),(222,1),(238,1),(274,1),(277,1),(279,1),(303,1),(308,1),(314,1)}
       253:{1,3,5,7}:{(219,1),(220,1),(226,1),(239,1),(272,1),(275,1),(277,1),(278,1),(307,1)}
       254:{2,3,5,6}:{(220,1),(221,1),(224,1),(227,1),(273,1),(276,1),(278,1),(305,1)}
       255:{2,5,7}:{(222,1),(223,1),(225,1),(279,1)}
       256:{1,3,6}:{(223,1),(224,1),(228,1),(279,1)}
       257:{1,5,6}:{(226,1),(227,1),(228,1)}
       258:{1,2,4,5}:{(229,1),(230,1),(280,1),(285,1),(309,1),(310,1)}
       259:{2,3,5}:{(229,1),(231,1),(280,1),(281,1)}
       260:{1,3,6}:{(230,1),(231,1),(267,1),(280,1),(282,1)}
       261:{2,3,4,6}:{(231,1),(233,1),(268,1),(281,1),(283,1),(284,1),(286,1),(305,1)}
       262:{1,4,6}:{(232,1),(233,1),(269,1),(285,1)}
       263:{2,4,5}:{(233,1),(234,1),(284,1),(285,1),(310,1)}
       264:{2,4,6}:{(235,1),(236,1),(274,1),(286,1),(287,1)}
       265:{1,4,5}:{(236,1),(237,1),(239,1),(287,1)}
       266:{2,5}:{(238,1),(239,1)}
       267:{1,3,7}:{(240,1),(241,1),(260,1),(288,1)}
       268:{2,3,4,7}:{(241,1),(243,1),(261,1),(289,1),(290,1),(294,1)}
       269:{1,4,7}:{(242,1),(243,1),(262,1)}
       270:{2,4,5,7}:{(243,1),(244,1),(246,1),(263,1),(290,1),(291,1),(292,1),(311,1)}
       271:{1,3,4,6}:{(244,1),(247,1),(251,1),(292,1),(296,1),(312,1),(313,1)}
       272:{1,5,7}:{(245,1),(246,1),(293,1)}
       273:{2,5,6}:{(246,1),(247,1),(292,1),(293,1)}
       274:{2,4,7}:{(248,1),(249,1),(264,1),(294,1)}
       275:{1,4,5,7}:{(249,1),(250,1),(253,1),(265,1),(295,1),(296,1)}
       276:{2,4,6}:{(250,1),(251,1),(254,1),(296,1)}
       277:{2,5,7}:{(252,1),(253,1),(266,1),(297,1)}
       278:{1,3,5,6}:{(253,1),(254,1),(256,1),(257,1),(293,1),(296,1),(297,1),(312,1),(313,1)}
       279:{2,6}:{(255,1),(256,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(298,1),(299,1)}
       281:{2,3,4}:{(259,1),(299,1)}
       282:{2,3,6}:{(260,1),(288,1),(298,1),(300,1)}
       283:{1,3,4,6}:{(260,1),(261,1),(262,1),(289,1),(299,1),(300,1),(301,1),(312,1)}
       284:{2,3,5}:{(261,1),(263,1),(301,1),(302,1)}
       285:{1,4,5}:{(262,1),(263,1),(301,1)}
       286:{3,4,6}:{(264,1),(294,1),(302,1),(313,1)}
       287:{2,4,5}:{(264,1),(265,1),(266,1),(302,1)}
       288:{2,3,7}:{(267,1),(282,1),(303,1)}
       289:{1,3,4,7}:{(267,1),(268,1),(269,1),(283,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(268,1),(270,1),(284,1),(304,1),(305,1),(307,1)}
       291:{1,4,5,7}:{(269,1),(270,1),(272,1),(285,1),(304,1),(306,1)}
       292:{2,4,6}:{(270,1),(271,1),(273,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(272,1),(273,1),(306,1)}
       294:{3,4,7}:{(274,1),(286,1),(307,1)}
       295:{2,4,5,7}:{(274,1),(275,1),(277,1),(287,1),(307,1),(308,1)}
       296:{1,4,6}:{(275,1),(276,1),(278,1),(308,1)}
       297:{2,5,6}:{(277,1),(278,1),(279,1),(308,1),(314,1)}
       298:{2,3,5}:{(280,1),(282,1),(309,1),(310,1)}
       299:{1,3,4}:{(280,1),(281,1),(309,1)}
       300:{2,4,6}:{(282,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       301:{1,3,5}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,4,7}:{(288,1),(289,1),(300,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(301,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{3,5,7}:{(294,1),(295,1),(302,1),(313,1)}
       308:{2,4,6}:{(295,1),(296,1),(297,1),(313,1)}
       309:{2,4}:{(298,1),(299,1)}
       310:{2,5}:{(300,1),(301,1)}
       311:{2,5,7}:{(303,1),(304,1),(310,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(307,1),(308,1)}
       314:{2,6}:{(311,1),(312,1)}

1900 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1901 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(28,1),(31,1),(40,1),(42,1),(87,1),(94,1),(95,1),(151,1),(175,1),(217,1),(222,1),(228,1),(270,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(75,1),(145,1),(217,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(45,1),(48,1),(53,1),(60,1),(71,1),(116,1),(179,1),(184,1),(185,1),(197,1),(198,1),(242,1),(245,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(188,1),(245,1),(248,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(55,1),(59,1),(64,1),(66,1),(124,1),(199,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(245,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(110,1),(183,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(73,1),(80,1),(87,1),(92,1),(144,1),(153,1),(154,1),(167,1),(213,1),(217,1),(228,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(27,1),(28,1),(29,1),(31,1),(76,1),(80,1),(87,1),(94,1),(147,1),(153,1),(161,1),(217,1),(228,1)}
        12:{1,3,4,6}:{(3,1),(29,1),(30,1),(37,1),(88,1),(100,1),(163,1),(164,1),(211,1),(230,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(270,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(87,1),(94,1),(158,1),(227,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(230,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(90,1),(94,1),(162,1),(222,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(145,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,4,6,7}:{(12,1),(44,1),(45,1),(47,1),(108,1),(113,1),(184,1),(185,1),(245,1)}
        24:{1,3,5,6,7}:{(17,1),(45,1),(46,1),(47,1),(113,1),(176,1)}
        25:{1,3,5,7}:{(10,1),(48,1),(49,1),(50,1),(116,1),(129,1),(202,1),(242,1),(245,1),(254,1)}
        26:{1,2,4,6}:{(10,1),(50,1),(51,1),(55,1),(115,1),(120,1),(124,1),(199,1),(240,1),(306,1)}
        27:{2,3,5,7}:{(11,1),(52,1),(53,1),(54,1),(71,1),(123,1),(139,1),(242,1),(245,1),(254,1),(283,1)}
        28:{1,4,5,7}:{(11,1),(53,1),(55,1),(58,1),(110,1),(114,1),(131,1),(184,1),(190,1),(197,1)}
        29:{2,4,6}:{(11,1),(12,1),(54,1),(55,1),(56,1),(124,1)}
        30:{1,3,5,6}:{(12,1),(45,1),(56,1),(57,1),(60,1),(116,1),(128,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(124,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(248,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(183,1),(208,1),(245,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(26,1),(72,1),(73,1),(75,1),(140,1),(144,1),(145,1),(217,1)}
        44:{2,4,6,7}:{(23,1),(29,1),(74,1),(75,1),(76,1),(145,1),(147,1),(217,1)}
        45:{1,3,5,7}:{(23,1),(30,1),(76,1),(77,1),(149,1)}
        46:{2,5,6,7}:{(24,1),(36,1),(76,1),(78,1),(79,1),(210,1)}
        47:{1,4,6,7}:{(24,1),(37,1),(77,1),(79,1),(211,1),(220,1)}
        48:{1,3,4,7}:{(25,1),(80,1),(81,1),(144,1),(216,1),(233,1),(275,1)}
        49:{2,3,5,7}:{(25,1),(80,1),(82,1),(83,1),(87,1),(153,1),(158,1),(227,1)}
        50:{1,3,6}:{(25,1),(26,1),(83,1),(230,1),(264,1)}
        51:{1,2,5,6}:{(26,1),(73,1),(84,1),(90,1),(153,1),(162,1),(167,1),(210,1),(302,1)}
        52:{2,3,4,7}:{(27,1),(31,1),(80,1),(85,1),(86,1),(103,1),(147,1),(158,1),(174,1),(216,1),(267,1),(268,1),(275,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(85,1),(87,1),(88,1),(160,1),(175,1),(297,1)}
        54:{2,3,6}:{(27,1),(29,1),(88,1),(100,1),(172,1),(230,1),(264,1),(296,1)}
        55:{1,4,6}:{(28,1),(29,1),(88,1),(90,1)}
        56:{2,5,6}:{(29,1),(30,1),(76,1),(90,1),(94,1),(153,1)}
        57:{1,4,5,6}:{(30,1),(37,1),(77,1),(91,1),(95,1),(154,1),(163,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(87,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(162,1),(169,1),(172,1),(227,1),(230,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(270,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(145,1),(172,1),(220,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(50,1),(106,1),(107,1),(245,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(51,1),(107,1),(110,1),(178,1),(183,1),(307,1)}
        74:{2,3,6,7}:{(44,1),(54,1),(108,1),(109,1),(113,1),(187,1),(245,1)}
        75:{1,4,6,7}:{(44,1),(55,1),(108,1),(110,1),(184,1)}
        76:{2,5,7}:{(44,1),(45,1),(56,1),(110,1)}
        77:{1,4,5,7}:{(45,1),(47,1),(57,1),(111,1),(184,1),(247,1)}
        78:{1,5,6,7}:{(46,1),(65,1),(110,1),(112,1),(239,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(66,1),(111,1),(112,1),(113,1),(187,1),(240,1)}
        80:{2,4,7}:{(48,1),(49,1),(114,1),(115,1),(253,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(115,1),(116,1),(120,1),(194,1)}
        82:{1,3,5,7}:{(49,1),(114,1),(117,1),(118,1),(188,1),(190,1),(248,1)}
        83:{2,3,6}:{(49,1),(50,1),(115,1),(118,1),(124,1)}
        84:{1,3,5,6}:{(50,1),(51,1),(107,1),(116,1),(119,1),(120,1),(202,1),(289,1),(290,1),(306,1)}
        85:{1,3,4,7}:{(52,1),(53,1),(58,1),(114,1),(121,1),(122,1),(129,1),(184,1),(188,1),(209,1),(245,1),(285,1),(286,1)}
        86:{2,3,4,6}:{(52,1),(54,1),(59,1),(115,1),(122,1),(123,1),(126,1),(135,1),(194,1),(195,1),(206,1),(252,1),(253,1),(256,1),(291,1)}
        87:{2,5,7}:{(53,1),(121,1),(124,1),(196,1)}
        88:{1,3,6}:{(53,1),(54,1),(55,1),(124,1),(207,1),(306,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(109,1),(123,1),(125,1),(126,1),(128,1),(201,1),(256,1)}
        90:{1,5,6}:{(55,1),(56,1),(110,1),(131,1),(190,1)}
        91:{2,4,5,6}:{(56,1),(57,1),(66,1),(111,1),(126,1),(127,1),(128,1),(132,1),(191,1),(199,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(121,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(124,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(183,1),(247,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(245,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(81,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(83,1),(140,1),(142,1),(143,1),(145,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(84,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,3,6,7}:{(74,1),(75,1),(88,1),(145,1),(146,1),(220,1)}
       109:{2,3,5,7}:{(74,1),(76,1),(89,1),(146,1),(147,1),(149,1),(219,1),(268,1)}
       110:{1,5,7}:{(75,1),(76,1),(90,1)}
       111:{2,4,5,7}:{(76,1),(77,1),(79,1),(91,1),(147,1),(148,1),(149,1),(217,1),(219,1)}
       112:{1,4,6,7}:{(78,1),(79,1),(99,1),(148,1),(150,1),(263,1)}
       113:{3,6,7}:{(79,1),(100,1),(149,1),(264,1)}
       114:{1,4,7}:{(80,1),(82,1),(152,1),(270,1)}
       115:{2,4,6}:{(80,1),(81,1),(83,1),(152,1),(153,1)}
       116:{1,3,5}:{(81,1),(153,1),(154,1),(224,1)}
       117:{1,2,5,7}:{(82,1),(87,1),(151,1),(155,1),(175,1),(222,1)}
       118:{1,3,6}:{(82,1),(83,1),(152,1),(155,1)}
       119:{2,3,5,6}:{(83,1),(84,1),(143,1),(153,1),(156,1),(157,1),(162,1),(210,1),(224,1),(227,1),(230,1),(264,1),(272,1),(273,1),(296,1)}
       120:{1,4,6}:{(84,1),(144,1),(154,1),(157,1),(233,1)}
       121:{2,4,7}:{(85,1),(87,1),(158,1),(159,1),(299,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(152,1),(159,1),(160,1),(163,1),(166,1),(221,1),(230,1),(233,1),(237,1),(270,1),(274,1),(275,1),(278,1),(303,1)}
       123:{2,3,5}:{(86,1),(94,1),(153,1),(160,1),(161,1),(169,1),(224,1),(235,1),(272,1)}
       124:{2,6}:{(87,1),(88,1)}
       125:{1,3,5,6}:{(88,1),(89,1),(90,1),(146,1),(160,1),(162,1),(163,1),(230,1),(232,1),(278,1)}
       126:{2,4,6}:{(89,1),(147,1),(161,1),(163,1),(164,1)}
       127:{1,4,5,6}:{(90,1),(91,1),(99,1),(148,1),(163,1),(165,1),(168,1),(223,1),(263,1)}
       128:{3,5,6}:{(91,1),(100,1),(149,1),(164,1),(169,1),(224,1),(230,1),(264,1)}
       129:{1,3,7}:{(92,1),(158,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(159,1),(166,1),(167,1),(233,1),(274,1),(302,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(162,1),(167,1),(170,1),(172,1),(232,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(230,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(217,1),(269,1),(299,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(115,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(116,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(118,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(119,1),(178,1),(181,1),(182,1),(183,1),(242,1),(245,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(120,1),(182,1)}
       145:{2,6,7}:{(108,1),(124,1),(183,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(125,1),(183,1),(184,1),(245,1),(247,1),(286,1)}
       147:{2,4,7}:{(109,1),(126,1),(184,1),(185,1)}
       148:{1,4,5,7}:{(110,1),(111,1),(112,1),(127,1),(184,1),(186,1)}
       149:{3,5,7}:{(111,1),(113,1),(128,1),(185,1),(245,1)}
       150:{1,3,6,7}:{(112,1),(113,1),(136,1),(186,1),(187,1),(282,1)}
       151:{1,2,4,7}:{(114,1),(117,1),(121,1),(188,1),(189,1),(209,1),(262,1)}
       152:{1,4,6}:{(114,1),(115,1),(118,1),(190,1)}
       153:{2,5}:{(115,1),(116,1),(190,1)}
       154:{1,4,5}:{(116,1),(120,1),(191,1),(289,1)}
       155:{1,2,6}:{(117,1),(118,1),(124,1),(207,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(181,1),(190,1),(192,1),(193,1),(239,1),(248,1),(250,1),(251,1),(282,1)}
       157:{2,4,6}:{(119,1),(120,1),(182,1),(191,1),(193,1),(194,1),(253,1)}
       158:{2,3,7}:{(121,1),(129,1),(188,1),(195,1),(245,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(195,1),(196,1),(253,1),(293,1),(310,1)}
       160:{1,3,5}:{(122,1),(123,1),(131,1),(190,1),(196,1),(197,1),(254,1),(260,1),(289,1)}
       161:{2,4,5}:{(123,1),(126,1),(197,1),(198,1),(253,1)}
       162:{2,5,6}:{(124,1),(125,1),(183,1),(196,1),(199,1),(293,1)}
       163:{1,4,6}:{(125,1),(126,1),(184,1),(197,1),(199,1)}
       164:{3,4,6}:{(126,1),(128,1),(185,1),(198,1)}
       165:{1,3,5,6}:{(127,1),(128,1),(136,1),(186,1),(200,1),(201,1),(204,1),(250,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(195,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(196,1),(202,1),(289,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(199,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(245,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(152,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(153,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(154,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(145,1),(155,1),(214,1),(220,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(156,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(157,1),(215,1),(216,1)}
       183:{2,5,7}:{(145,1),(146,1),(162,1),(217,1),(299,1)}
       184:{1,4,7}:{(146,1),(147,1),(163,1),(217,1)}
       185:{3,4,7}:{(147,1),(149,1),(164,1)}
       186:{1,3,5,7}:{(148,1),(149,1),(150,1),(165,1),(218,1),(219,1)}
       187:{2,6,7}:{(150,1),(172,1),(219,1),(220,1),(296,1)}
       188:{1,3,7}:{(151,1),(158,1),(221,1)}
       189:{1,2,4,6}:{(151,1),(152,1),(155,1),(159,1),(221,1),(222,1),(237,1),(270,1),(281,1),(305,1)}
       190:{1,5}:{(152,1),(153,1)}
       191:{2,4,5}:{(153,1),(154,1),(157,1),(223,1),(224,1),(272,1)}
       192:{1,2,5,6}:{(155,1),(156,1),(162,1),(214,1),(222,1),(225,1),(232,1),(272,1),(296,1)}
       193:{1,4,6}:{(156,1),(157,1),(215,1),(223,1),(270,1)}
       194:{3,4,6}:{(157,1),(216,1),(224,1),(230,1),(264,1),(275,1)}
       195:{2,3,6}:{(158,1),(159,1),(166,1),(221,1),(227,1),(230,1),(313,1)}
       196:{2,5}:{(159,1),(160,1)}
       197:{1,4,5}:{(160,1),(161,1),(163,1),(228,1),(233,1),(270,1)}
       198:{3,4,5}:{(161,1),(164,1),(169,1),(224,1),(275,1)}
       199:{2,4,6}:{(162,1),(163,1),(217,1),(228,1),(230,1)}
       200:{1,3,4,6}:{(163,1),(164,1),(165,1),(218,1),(229,1),(230,1),(231,1),(278,1)}
       201:{2,5,6}:{(165,1),(172,1),(219,1),(231,1),(232,1),(235,1),(272,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(227,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(228,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(230,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(299,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(190,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(191,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(183,1),(192,1),(243,1),(247,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(193,1)}
       216:{3,4,7}:{(182,1),(194,1),(242,1),(245,1)}
       217:{2,4,7}:{(183,1),(184,1),(199,1),(245,1)}
       218:{1,3,4,7}:{(184,1),(185,1),(186,1),(200,1),(245,1),(246,1),(286,1)}
       219:{2,5,7}:{(186,1),(187,1),(201,1),(246,1),(247,1)}
       220:{1,6,7}:{(187,1),(207,1),(247,1),(306,1)}
       221:{1,3,6}:{(188,1),(189,1),(195,1),(248,1),(311,1)}
       222:{1,2,5}:{(189,1),(190,1),(196,1),(248,1),(260,1)}
       223:{1,4,5}:{(190,1),(191,1),(193,1),(250,1)}
       224:{3,5}:{(191,1),(194,1)}
       225:{1,2,4,6}:{(192,1),(193,1),(199,1),(243,1),(249,1),(251,1),(252,1),(257,1),(293,1)}
       226:{1,3,4,6}:{(193,1),(194,1),(244,1),(250,1),(251,1),(252,1),(282,1),(287,1)}
       227:{2,3,5}:{(195,1),(196,1),(202,1),(248,1),(253,1),(254,1)}
       228:{2,4,5}:{(196,1),(197,1),(199,1),(253,1),(254,1)}
       229:{1,3,4,5}:{(197,1),(198,1),(200,1),(204,1),(250,1),(254,1),(255,1),(258,1),(287,1),(292,1)}
       230:{3,6}:{(199,1),(245,1),(254,1)}
       231:{2,4,6}:{(200,1),(201,1),(246,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,5,6}:{(201,1),(207,1),(247,1),(257,1),(260,1),(289,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(224,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(217,1),(225,1),(266,1),(267,1),(269,1),(299,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(226,1),(265,1),(266,1),(267,1)}
       245:{3,7}:{(217,1),(230,1)}
       246:{2,4,7}:{(218,1),(219,1),(231,1),(268,1),(269,1),(299,1)}
       247:{1,5,7}:{(219,1),(220,1),(232,1),(269,1)}
       248:{1,3,5}:{(221,1),(222,1),(227,1),(270,1)}
       249:{1,2,4,5}:{(222,1),(223,1),(225,1),(228,1),(270,1),(271,1),(272,1),(277,1),(300,1),(304,1),(305,1)}
       250:{1,3,5}:{(223,1),(224,1),(226,1),(272,1)}
       251:{1,3,6}:{(225,1),(230,1),(266,1),(271,1),(273,1)}
       252:{2,4,6}:{(226,1),(267,1),(272,1),(273,1),(274,1),(296,1),(300,1)}
       253:{2,4}:{(227,1),(233,1),(270,1),(275,1)}
       254:{3,5}:{(228,1),(230,1),(275,1)}
       255:{2,4,5}:{(229,1),(231,1),(235,1),(272,1),(276,1),(277,1),(279,1),(300,1),(304,1)}
       256:{2,3,6}:{(230,1),(231,1),(268,1),(276,1),(278,1)}
       257:{1,4,6}:{(231,1),(232,1),(269,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(299,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(250,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(245,1),(251,1),(284,1)}
       267:{2,4,7}:{(244,1),(252,1),(283,1),(284,1),(285,1)}
       268:{2,3,7}:{(245,1),(246,1),(256,1),(286,1)}
       269:{1,4,7}:{(246,1),(247,1),(257,1),(286,1)}
       270:{1,4}:{(248,1),(253,1)}
       271:{1,3,5}:{(249,1),(251,1),(254,1),(287,1),(288,1),(311,1)}
       272:{2,5}:{(250,1),(252,1),(289,1)}
       273:{2,3,6}:{(251,1),(252,1),(284,1),(288,1),(290,1),(293,1)}
       274:{1,4,6}:{(252,1),(285,1),(289,1),(290,1),(306,1),(308,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(289,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(286,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(272,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(273,1),(298,1),(299,1)}
       285:{1,4,7}:{(267,1),(274,1),(297,1),(298,1)}
       286:{1,3,7}:{(268,1),(269,1),(278,1),(299,1)}
       287:{1,3,4}:{(270,1),(271,1),(275,1),(300,1)}
       288:{2,3,5}:{(271,1),(272,1),(273,1),(300,1),(301,1),(304,1),(313,1)}
       289:{1,5}:{(272,1),(274,1)}
       290:{1,3,6}:{(273,1),(274,1),(298,1),(301,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(300,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(299,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(289,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(290,1),(307,1)}
       299:{2,7}:{(286,1),(293,1)}
       300:{2,4}:{(287,1),(288,1),(308,1)}
       301:{1,3,5}:{(288,1),(289,1),(290,1),(308,1),(309,1),(314,1)}
       302:{1,2,6}:{(290,1),(293,1),(307,1),(309,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(299,1),(302,1)}
       308:{1,4}:{(300,1),(301,1)}
       309:{1,2,5}:{(301,1),(302,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1902 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(67,1),(147,1),(237,1),(256,1),(258,1),(366,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(314,1),(415,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(103,1),(414,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(146,1),(256,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(147,1),(280,1),(351,1),(367,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(459,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(258,1),(365,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(104,1),(206,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(314,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(201,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(99,1),(118,1),(120,1),(185,1),(203,1),(317,1),(322,1),(414,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(263,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(254,1),(281,1),(367,1),(390,1),(392,1),(459,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(256,1),(375,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(258,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(143,1),(168,1),(169,1),(242,1),(260,1),(371,1),(376,1),(459,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(414,1),(422,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(204,1),(224,1),(231,1),(321,1),(339,1),(342,1),(423,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(185,1),(206,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(312,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(314,1),(425,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(195,1),(301,1),(407,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(72,1),(84,1),(139,1),(160,1),(162,1),(241,1),(248,1),(250,1),(271,1)}
        41:{1,3,4,5,6}:{(27,1),(65,1),(66,1),(79,1),(136,1),(246,1),(266,1),(268,1),(360,1),(375,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(70,1),(151,1),(238,1),(372,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(456,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(459,1),(466,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(261,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(242,1),(263,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(365,1),(459,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(252,1),(357,1),(371,1),(476,1)}
        63:{1,2,3,5,7}:{(40,1),(96,1),(97,1),(125,1),(190,1),(192,1),(215,1),(300,1),(329,1)}
        64:{1,2,4,6}:{(40,1),(44,1),(95,1),(97,1),(98,1),(297,1),(328,1)}
        65:{2,4,5,6}:{(41,1),(47,1),(94,1),(99,1),(100,1),(118,1),(185,1),(297,1),(402,1)}
        66:{1,3,4,5,7}:{(41,1),(49,1),(100,1),(101,1),(121,1),(186,1),(305,1),(325,1),(326,1),(410,1),(425,1)}
        67:{1,2,3,5}:{(93,1),(103,1),(182,1),(199,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(107,1),(111,1),(199,1),(288,1)}
        69:{2,3,4,5,7}:{(42,1),(46,1),(106,1),(108,1),(109,1),(129,1),(205,1),(212,1),(228,1),(296,1),(319,1),(404,1),(421,1),(423,1),(479,1),(501,1)}
        70:{2,3,4,6}:{(42,1),(47,1),(94,1),(107,1),(109,1),(206,1),(297,1),(422,1)}
        71:{1,3,4}:{(44,1),(104,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(491,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(105,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(540,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(185,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(319,1),(423,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(301,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(415,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(256,1)}
        94:{2,3,5,6}:{(65,1),(70,1),(136,1),(137,1),(375,1)}
        95:{1,3,4,6}:{(64,1),(71,1),(135,1),(138,1),(139,1),(160,1),(248,1)}
        96:{1,2,3,6,7}:{(63,1),(72,1),(140,1),(173,1),(248,1),(272,1),(356,1),(443,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(138,1),(353,1),(382,1)}
        98:{1,2,4,5}:{(64,1),(139,1),(162,1),(238,1),(270,1)}
        99:{1,4,5,6}:{(65,1),(76,1),(136,1),(143,1),(165,1),(344,1),(438,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(78,1),(137,1),(143,1),(144,1),(168,1),(242,1),(353,1),(449,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(358,1),(359,1),(452,1)}
       102:{1,2,3,5,7}:{(67,1),(133,1),(147,1),(148,1),(236,1),(255,1),(258,1),(280,1),(379,1),(389,1)}
       103:{1,2,4}:{(67,1),(146,1)}
       104:{2,3,4}:{(71,1),(146,1),(151,1)}
       105:{2,4,5}:{(68,1),(151,1),(153,1)}
       106:{1,3,4,5,7}:{(68,1),(69,1),(75,1),(152,1),(154,1),(155,1),(159,1),(255,1),(267,1),(270,1),(285,1),(343,1),(365,1),(372,1),(382,1),(459,1),(464,1),(466,1),(510,1),(526,1)}
       107:{1,3,4,6}:{(68,1),(70,1),(76,1),(136,1),(153,1),(155,1),(160,1),(256,1),(344,1)}
       108:{2,3,4,6}:{(69,1),(77,1),(154,1),(156,1),(177,1),(262,1),(286,1),(352,1),(373,1),(450,1),(511,1)}
       109:{2,3,4,7}:{(70,1),(78,1),(137,1),(155,1),(263,1),(353,1),(466,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(150,1),(158,1),(159,1),(382,1),(518,1)}
       111:{1,3,5}:{(71,1),(74,1),(151,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(456,1),(522,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(152,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(519,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(153,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(242,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(372,1),(466,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(357,1),(374,1),(388,1),(391,1),(452,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(459,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(314,1)}
       134:{1,2,4,6}:{(93,1),(103,1),(179,1),(181,1),(182,1),(294,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(206,1),(297,1),(299,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(107,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(109,1),(186,1),(187,1),(425,1)}
       138:{1,3,4,7}:{(95,1),(97,1),(183,1),(190,1),(215,1)}
       139:{1,3,5}:{(95,1),(98,1),(184,1)}
       140:{1,2,4,6,7}:{(96,1),(97,1),(113,1),(189,1),(192,1),(193,1),(403,1),(482,1),(534,1)}
       141:{1,2,4,5,7}:{(97,1),(98,1),(190,1),(192,1),(193,1),(296,1),(306,1)}
       142:{1,2,4,5,6}:{(98,1),(99,1),(115,1),(185,1),(191,1),(193,1),(194,1),(218,1),(297,1),(322,1),(328,1),(402,1),(409,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(117,1),(186,1),(195,1),(221,1),(394,1),(478,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(301,1)}
       145:{1,3,5,6,7}:{(101,1),(121,1),(196,1),(197,1),(311,1),(410,1)}
       146:{1,3,4}:{(103,1),(104,1),(199,1)}
       147:{1,2,3,6}:{(102,1),(201,1),(294,1),(313,1),(436,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(198,1),(201,1),(428,1)}
       149:{1,2,4,5}:{(103,1),(105,1),(182,1),(199,1),(203,1),(288,1)}
       150:{2,3,4,7}:{(104,1),(110,1),(198,1),(204,1),(205,1),(423,1),(498,1)}
       151:{2,3,5}:{(104,1),(105,1),(111,1),(199,1),(206,1)}
       152:{2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(319,1),(323,1),(423,1),(499,1),(542,1)}
       153:{2,4,6}:{(105,1),(107,1),(185,1),(206,1),(208,1)}
       154:{1,3,4,6}:{(106,1),(108,1),(116,1),(207,1),(209,1),(214,1),(313,1),(328,1),(341,1),(393,1),(414,1),(422,1),(532,1)}
       155:{1,3,4,7}:{(107,1),(109,1),(117,1),(186,1),(208,1),(215,1),(314,1),(394,1)}
       156:{2,3,5,6}:{(108,1),(118,1),(209,1),(211,1),(212,1),(222,1),(335,1),(402,1),(486,1),(530,1)}
       157:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(187,1),(210,1),(212,1),(231,1),(303,1),(321,1),(342,1),(403,1),(423,1),(488,1),(489,1),(501,1),(533,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(204,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(205,1),(213,1),(214,1),(215,1),(537,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(206,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(491,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(207,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(208,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(301,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(423,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(146,1),(232,1),(233,1),(256,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(147,1),(234,1),(235,1),(367,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{2,3,4,7}:{(135,1),(138,1),(232,1),(240,1),(263,1),(353,1)}
       184:{2,3,5}:{(135,1),(139,1),(233,1),(238,1)}
       185:{2,5,6}:{(136,1),(153,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(155,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(452,1)}
       188:{1,3,4,5}:{(139,1),(238,1),(246,1),(270,1),(372,1)}
       189:{1,3,4,6,7}:{(138,1),(140,1),(158,1),(239,1),(247,1),(248,1),(272,1),(362,1),(382,1),(444,1),(514,1),(546,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,5,6}:{(139,1),(142,1),(160,1),(241,1),(246,1),(248,1),(249,1),(375,1)}
       192:{1,2,5,7}:{(140,1),(162,1),(247,1),(250,1),(449,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(250,1),(352,1),(362,1)}
       194:{1,2,4,5,7}:{(142,1),(143,1),(164,1),(242,1),(249,1),(251,1),(276,1),(353,1),(376,1),(382,1),(449,1),(454,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(168,1),(252,1),(449,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(358,1),(454,1),(455,1)}
       198:{1,3,4,7}:{(146,1),(148,1),(150,1),(254,1),(255,1),(459,1),(470,1)}
       199:{1,3,5}:{(146,1),(149,1),(151,1),(256,1)}
       200:{1,2,3,5,6}:{(147,1),(234,1),(257,1),(258,1),(350,1),(366,1),(369,1),(379,1),(446,1),(462,1),(474,1),(528,1)}
       201:{1,2,4,6}:{(147,1),(148,1),(254,1),(258,1)}
       202:{1,2,4,5,7}:{(148,1),(149,1),(152,1),(236,1),(255,1),(258,1),(259,1),(260,1),(285,1),(343,1),(365,1),(371,1),(389,1),(459,1),(471,1),(529,1)}
       203:{1,2,4,6}:{(149,1),(153,1),(237,1),(256,1),(260,1),(344,1)}
       204:{2,3,4,6}:{(150,1),(158,1),(254,1),(261,1),(262,1),(373,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(152,1),(159,1),(255,1),(261,1),(262,1),(263,1),(524,1),(550,1)}
       206:{2,3,6}:{(151,1),(153,1),(160,1),(256,1),(263,1)}
       207:{2,4,6}:{(152,1),(154,1),(262,1),(264,1)}
       208:{2,4,7}:{(153,1),(155,1),(242,1),(263,1)}
       209:{1,3,5,6}:{(154,1),(156,1),(165,1),(264,1),(266,1),(267,1),(375,1),(387,1),(438,1),(544,1)}
       210:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(166,1),(243,1),(265,1),(267,1),(272,1),(358,1),(367,1),(382,1),(392,1),(439,1),(452,1),(459,1),(466,1),(517,1),(526,1),(546,1)}
       211:{2,4,5,6}:{(156,1),(266,1),(268,1),(269,1),(373,1)}
       212:{2,3,5,7}:{(156,1),(157,1),(168,1),(267,1),(269,1),(279,1),(388,1),(449,1),(516,1),(545,1)}
       213:{1,3,5}:{(158,1),(162,1),(261,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(262,1)}
       215:{1,3,7}:{(160,1),(164,1),(263,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(518,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(264,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(265,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(357,1),(388,1),(455,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(452,1),(466,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(183,1),(290,1),(314,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(184,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(200,1),(292,1),(293,1),(399,1),(415,1),(497,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(201,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(185,1),(203,1),(291,1),(294,1),(295,1)}
       238:{2,4,5}:{(184,1),(188,1),(288,1),(297,1)}
       239:{2,3,4,6,7}:{(183,1),(189,1),(204,1),(289,1),(298,1),(299,1),(321,1),(398,1),(403,1),(405,1),(423,1),(484,1),(488,1),(533,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(290,1),(296,1),(299,1)}
       241:{2,3,5,6}:{(184,1),(185,1),(191,1),(206,1),(291,1),(297,1),(299,1),(300,1),(402,1)}
       242:{2,5,7}:{(185,1),(186,1),(208,1),(301,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(301,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(212,1),(302,1),(303,1),(311,1),(412,1),(489,1)}
       245:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(304,1),(305,1),(306,1),(404,1),(410,1)}
       246:{1,3,4,6}:{(188,1),(191,1),(297,1),(305,1),(328,1),(422,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(298,1),(306,1),(307,1),(551,1)}
       248:{1,3,6}:{(190,1),(193,1),(299,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(300,1),(305,1),(308,1),(425,1)}
       250:{1,2,5,6}:{(192,1),(193,1),(307,1),(402,1),(534,1)}
       251:{1,2,4,6,7}:{(193,1),(194,1),(195,1),(301,1),(308,1),(309,1),(403,1),(407,1),(411,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(221,1),(478,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(223,1),(303,1),(310,1),(311,1),(407,1),(412,1),(487,1)}
       254:{1,3,4,6}:{(198,1),(201,1),(204,1),(312,1),(313,1),(414,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(202,1),(205,1),(312,1),(313,1),(314,1),(504,1),(543,1)}
       256:{1,3,6}:{(199,1),(203,1),(206,1),(314,1)}
       257:{1,2,4,6}:{(200,1),(292,1),(315,1),(316,1),(414,1),(428,1),(493,1)}
       258:{1,2,5}:{(201,1),(312,1)}
       259:{1,2,4,6}:{(202,1),(207,1),(294,1),(313,1),(317,1),(341,1),(393,1),(414,1),(436,1)}
       260:{1,2,4,7}:{(203,1),(208,1),(295,1),(314,1),(394,1)}
       261:{2,3,5}:{(204,1),(213,1),(312,1),(319,1)}
       262:{2,3,6}:{(205,1),(207,1),(214,1),(313,1)}
       263:{2,3,7}:{(206,1),(208,1),(215,1),(314,1)}
       264:{2,5,6}:{(207,1),(209,1),(323,1)}
       265:{2,4,6,7}:{(207,1),(208,1),(210,1),(301,1),(321,1),(323,1),(423,1),(536,1),(542,1)}
       266:{1,4,5,6}:{(209,1),(211,1),(322,1),(325,1),(328,1),(414,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(221,1),(323,1),(325,1),(425,1),(435,1),(478,1),(551,1)}
       268:{3,4,5,6}:{(211,1),(222,1),(326,1),(422,1),(486,1)}
       269:{2,4,5,7}:{(211,1),(212,1),(303,1),(325,1),(326,1),(423,1)}
       270:{1,4,5}:{(213,1),(319,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(320,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(321,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(322,1),(328,1),(333,1),(334,1),(335,1),(426,1),(430,1),(502,1),(538,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(323,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(407,1),(490,1),(536,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(238,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(239,1),(254,1),(345,1),(346,1),(348,1),(367,1),(439,1),(441,1),(446,1),(459,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(240,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(241,1),(256,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(257,1),(348,1),(459,1),(521,1)}
       293:{1,2,5,7}:{(235,1),(258,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(242,1),(260,1),(347,1),(351,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(245,1),(343,1),(352,1),(353,1),(449,1)}
       297:{2,4,6}:{(238,1),(241,1),(246,1),(344,1),(353,1)}
       298:{2,3,5,7}:{(239,1),(247,1),(261,1),(345,1),(354,1),(355,1),(449,1),(516,1),(545,1)}
       299:{2,3,6}:{(240,1),(248,1),(346,1),(352,1)}
       300:{2,3,5,7}:{(241,1),(242,1),(249,1),(263,1),(347,1),(353,1),(356,1),(449,1)}
       301:{2,6,7}:{(242,1),(243,1)}
       302:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(267,1),(357,1),(358,1),(452,1),(455,1),(517,1)}
       303:{2,4,6,7}:{(244,1),(269,1),(358,1),(359,1)}
       304:{1,3,4,6}:{(245,1),(248,1),(352,1),(360,1),(362,1),(450,1)}
       305:{1,3,4,7}:{(246,1),(249,1),(353,1),(382,1),(466,1)}
       306:{1,4,5,7}:{(247,1),(270,1),(354,1),(362,1),(382,1)}
       307:{1,3,5,6}:{(247,1),(248,1),(250,1),(355,1),(362,1),(514,1),(544,1)}
       308:{1,3,6,7}:{(248,1),(249,1),(251,1),(356,1),(452,1)}
       309:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(276,1),(357,1),(363,1),(449,1),(547,1)}
       310:{1,4,5,6,7}:{(252,1),(253,1),(278,1),(358,1),(364,1),(509,1)}
       311:{3,5,6,7}:{(253,1),(279,1),(359,1),(452,1),(516,1)}
       312:{1,3,5}:{(254,1),(258,1),(261,1),(365,1)}
       313:{1,3,6}:{(255,1),(259,1),(262,1)}
       314:{1,3,7}:{(256,1),(260,1),(263,1)}
       315:{1,3,4,6}:{(257,1),(348,1),(368,1),(369,1),(446,1),(470,1),(528,1)}
       316:{1,2,4,5}:{(257,1),(258,1),(365,1),(369,1),(457,1)}
       317:{1,2,5,6}:{(258,1),(259,1),(264,1),(366,1),(371,1),(387,1),(438,1)}
       318:{1,2,4,6,7}:{(259,1),(260,1),(265,1),(351,1),(367,1),(371,1),(392,1),(439,1),(459,1),(476,1),(529,1)}
       319:{2,4,5}:{(261,1),(270,1),(365,1),(372,1),(373,1)}
       320:{2,3,5,6}:{(261,1),(262,1),(264,1),(271,1),(366,1),(373,1),(374,1),(375,1)}
       321:{2,3,6,7}:{(262,1),(263,1),(265,1),(272,1),(367,1),(374,1),(452,1),(550,1)}
       322:{2,4,5,6}:{(264,1),(266,1),(373,1),(375,1),(376,1)}
       323:{2,5,7}:{(264,1),(265,1),(267,1)}
       324:{1,3,4,5,6}:{(266,1),(268,1),(277,1),(375,1),(377,1),(378,1),(381,1),(458,1),(467,1),(508,1)}
       325:{1,4,5,7}:{(266,1),(267,1),(269,1),(358,1),(376,1),(382,1),(459,1)}
       326:{3,4,5,7}:{(268,1),(269,1),(279,1),(359,1),(466,1),(516,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(372,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(373,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(374,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(375,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(376,1),(382,1),(386,1),(388,1),(469,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(452,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(296,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(297,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(298,1),(312,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(299,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(300,1),(314,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(315,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(316,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(301,1),(397,1)}
       352:{2,4,6}:{(296,1),(299,1),(304,1),(393,1),(402,1)}
       353:{2,4,7}:{(297,1),(300,1),(305,1),(394,1)}
       354:{2,4,5,7}:{(298,1),(306,1),(319,1),(395,1),(404,1),(405,1),(423,1)}
       355:{2,3,5,6}:{(298,1),(299,1),(307,1),(396,1),(402,1),(405,1),(484,1),(486,1),(530,1)}
       356:{2,3,6,7}:{(299,1),(300,1),(301,1),(308,1),(397,1),(403,1)}
       357:{2,5,6,7}:{(301,1),(302,1),(323,1),(407,1),(536,1)}
       358:{1,4,6,7}:{(302,1),(303,1),(325,1),(407,1)}
       359:{3,4,6,7}:{(303,1),(311,1),(326,1)}
       360:{1,3,5,6}:{(304,1),(402,1),(409,1),(410,1),(486,1)}
       361:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(403,1),(410,1),(411,1),(488,1)}
       362:{1,4,6}:{(306,1),(307,1),(405,1)}
       363:{1,3,5,6,7}:{(307,1),(308,1),(309,1),(329,1),(406,1),(410,1),(411,1),(535,1),(551,1)}
       364:{1,3,5,6,7}:{(310,1),(311,1),(336,1),(408,1),(412,1),(531,1)}
       365:{1,4,5}:{(312,1),(319,1),(414,1)}
       366:{1,3,5,6}:{(312,1),(313,1),(317,1),(320,1),(414,1),(415,1)}
       367:{1,3,6,7}:{(313,1),(314,1),(318,1),(321,1),(415,1),(543,1)}
       368:{2,3,4,6}:{(315,1),(398,1),(417,1),(418,1),(484,1),(493,1),(498,1),(541,1)}
       369:{1,3,5}:{(315,1),(316,1),(418,1)}
       370:{1,2,4,5,6}:{(316,1),(317,1),(322,1),(400,1),(414,1),(419,1),(420,1),(426,1),(477,1),(493,1),(502,1),(505,1),(530,1)}
       371:{1,2,5,7}:{(317,1),(318,1),(323,1),(415,1),(435,1),(478,1)}
       372:{3,4,5}:{(319,1),(422,1)}
       373:{2,4,6}:{(319,1),(320,1),(328,1),(414,1),(422,1),(423,1)}
       374:{2,3,5,7}:{(320,1),(321,1),(323,1),(329,1),(415,1),(423,1),(425,1)}
       375:{3,5,6}:{(322,1),(422,1),(425,1)}
       376:{2,4,5,7}:{(322,1),(323,1),(325,1),(407,1),(423,1),(425,1)}
       377:{2,4,5,6}:{(324,1),(335,1),(424,1),(426,1),(427,1),(430,1),(493,1),(502,1),(530,1)}
       378:{1,3,4,5,7}:{(324,1),(325,1),(326,1),(336,1),(408,1),(425,1),(427,1),(431,1),(494,1),(503,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(422,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(423,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(425,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(536,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(352,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(353,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(441,1),(459,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(355,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(356,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(368,1),(444,1),(445,1),(521,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(369,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(357,1),(371,1),(442,1),(447,1),(455,1),(545,1)}
       402:{2,5,6}:{(352,1),(360,1),(438,1),(449,1)}
       403:{2,4,6,7}:{(352,1),(353,1),(356,1),(361,1),(439,1),(449,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(450,1),(466,1),(516,1)}
       405:{2,4,6}:{(354,1),(355,1),(362,1),(441,1),(450,1)}
       406:{2,3,5,6,7}:{(355,1),(356,1),(357,1),(363,1),(374,1),(442,1),(449,1),(451,1),(452,1),(515,1),(516,1),(545,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(376,1),(452,1)}
       408:{1,3,4,6,7}:{(358,1),(359,1),(364,1),(378,1),(452,1),(453,1),(517,1)}
       409:{1,4,5,6}:{(360,1),(362,1),(448,1),(454,1),(544,1)}
       410:{1,3,5,7}:{(360,1),(361,1),(449,1),(454,1),(516,1)}
       411:{1,4,6,7}:{(362,1),(363,1),(382,1),(451,1),(454,1)}
       412:{2,5,6,7}:{(364,1),(388,1),(453,1),(455,1),(545,1)}
       413:{1,3,4,5}:{(365,1),(369,1),(372,1),(457,1),(458,1)}
       414:{1,4,6}:{(365,1),(366,1),(373,1),(459,1)}
       415:{1,3,5,7}:{(366,1),(367,1),(371,1),(374,1),(459,1)}
       416:{1,2,3,6}:{(443,1),(456,1),(460,1),(548,1)}
       417:{1,3,4,6}:{(368,1),(444,1),(460,1),(461,1),(514,1),(518,1),(520,1),(548,1)}
       418:{2,3,5}:{(368,1),(369,1),(457,1),(461,1)}
       419:{1,3,5,6}:{(369,1),(370,1),(375,1),(446,1),(458,1),(462,1),(463,1),(528,1)}
       420:{1,2,4,5,7}:{(370,1),(371,1),(376,1),(447,1),(459,1),(463,1),(469,1),(509,1),(521,1),(527,1),(529,1),(545,1)}
       421:{2,3,4,5}:{(372,1),(380,1),(457,1),(464,1),(465,1),(524,1)}
       422:{3,4,6}:{(372,1),(373,1),(375,1),(466,1)}
       423:{2,4,7}:{(373,1),(374,1),(382,1),(459,1),(466,1)}
       424:{2,3,5,6}:{(375,1),(377,1),(465,1),(467,1),(468,1)}
       425:{3,5,7}:{(375,1),(376,1),(452,1),(466,1)}
       426:{1,4,5,6}:{(377,1),(387,1),(467,1),(469,1),(472,1),(520,1),(544,1)}
       427:{2,4,5,7}:{(377,1),(378,1),(388,1),(453,1),(468,1),(469,1),(473,1),(521,1),(527,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(466,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(402,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(404,1),(413,1),(479,1),(480,1),(494,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(405,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(406,1),(415,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(416,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(417,1),(482,1),(483,1),(539,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(418,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(407,1),(420,1),(481,1),(485,1),(490,1),(533,1),(536,1)}
       448:{2,4,5,6}:{(402,1),(405,1),(409,1),(477,1),(486,1),(487,1),(530,1)}
       449:{2,5,7}:{(402,1),(403,1),(410,1),(478,1)}
       450:{3,4,6}:{(404,1),(405,1),(486,1)}
       451:{2,4,6,7}:{(405,1),(406,1),(411,1),(423,1),(481,1),(487,1),(488,1)}
       452:{3,6,7}:{(407,1),(425,1)}
       453:{2,4,6,7}:{(408,1),(412,1),(427,1),(489,1),(490,1),(536,1)}
       454:{1,4,5,7}:{(409,1),(410,1),(411,1),(487,1),(551,1)}
       455:{1,5,6,7}:{(412,1),(435,1),(490,1),(551,1)}
       456:{1,2,3,5}:{(416,1),(491,1),(495,1),(537,1)}
       457:{2,4,5}:{(413,1),(418,1),(492,1),(493,1)}
       458:{1,3,4,6}:{(413,1),(414,1),(419,1),(422,1),(493,1),(494,1)}
       459:{1,4,7}:{(414,1),(415,1),(423,1)}
       460:{1,2,4,6}:{(416,1),(417,1),(482,1),(491,1),(495,1),(534,1)}
       461:{1,3,5}:{(417,1),(418,1),(492,1),(495,1)}
       462:{2,3,5,6}:{(418,1),(419,1),(484,1),(493,1),(496,1),(497,1),(502,1),(530,1),(541,1)}
       463:{1,3,5,7}:{(419,1),(420,1),(425,1),(485,1),(494,1),(497,1),(543,1)}
       464:{1,3,4,5}:{(421,1),(429,1),(492,1),(499,1),(500,1),(504,1),(537,1)}
       465:{2,3,4,6}:{(421,1),(422,1),(424,1),(430,1),(493,1),(500,1),(501,1),(541,1)}
       466:{3,4,7}:{(422,1),(423,1),(425,1)}
       467:{1,3,5,6}:{(424,1),(426,1),(500,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(424,1),(425,1),(427,1),(489,1),(501,1),(503,1)}
       469:{1,4,5,7}:{(426,1),(427,1),(435,1),(490,1),(503,1),(506,1),(539,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(536,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(448,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(449,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(457,1),(510,1),(511,1),(521,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(450,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(460,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(461,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(452,1),(463,1),(515,1)}
       486:{3,5,6}:{(448,1),(450,1),(516,1)}
       487:{2,4,5,7}:{(448,1),(449,1),(451,1),(454,1),(509,1),(516,1),(545,1)}
       488:{3,4,6,7}:{(450,1),(451,1),(452,1),(466,1),(516,1)}
       489:{2,3,6,7}:{(452,1),(453,1),(468,1),(517,1)}
       490:{1,4,6,7}:{(453,1),(455,1),(469,1),(517,1)}
       491:{1,2,4}:{(456,1),(518,1)}
       492:{1,4,5}:{(457,1),(461,1),(520,1)}
       493:{2,4,6}:{(457,1),(458,1),(462,1),(520,1),(521,1)}
       494:{1,3,4,7}:{(458,1),(459,1),(463,1),(466,1),(521,1)}
       495:{1,2,5}:{(460,1),(461,1)}
       496:{1,3,5,6}:{(461,1),(462,1),(514,1),(520,1),(522,1),(523,1),(544,1),(548,1)}
       497:{2,3,5,7}:{(462,1),(463,1),(515,1),(521,1),(523,1),(527,1),(545,1),(550,1)}
       498:{2,3,4}:{(470,1),(518,1),(524,1)}
       499:{2,4,5}:{(464,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(464,1),(465,1),(467,1),(472,1),(520,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(465,1),(466,1),(468,1),(473,1),(521,1),(526,1),(550,1)}
       502:{2,5,6}:{(467,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(467,1),(468,1),(469,1),(517,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(486,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(487,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(492,1),(532,1),(539,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(488,1),(494,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(495,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(497,1),(533,1),(535,1),(536,1)}
       516:{3,5,7}:{(486,1),(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(503,1),(536,1)}
       518:{1,3,4}:{(491,1),(498,1),(537,1)}
       519:{1,2,4,5}:{(491,1),(492,1),(495,1),(499,1),(537,1),(538,1)}
       520:{1,4,6}:{(492,1),(493,1),(496,1),(539,1)}
       521:{2,4,7}:{(493,1),(494,1),(497,1),(539,1)}
       522:{1,2,5,6}:{(495,1),(496,1),(502,1),(534,1),(538,1),(540,1)}
       523:{1,3,5,7}:{(496,1),(497,1),(535,1),(539,1),(540,1),(551,1),(552,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(537,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(539,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(536,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(516,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(521,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(523,1),(546,1),(547,1)}
       536:{2,6,7}:{(517,1),(527,1)}
       537:{1,3,5}:{(518,1),(519,1),(524,1),(548,1)}
       538:{1,2,4,6}:{(519,1),(520,1),(522,1),(525,1),(548,1),(549,1)}
       539:{1,4,7}:{(520,1),(521,1),(523,1)}
       540:{1,2,5,7}:{(522,1),(523,1),(527,1),(547,1),(549,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(536,1),(540,1)}
       548:{1,3,6}:{(537,1),(538,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(538,1),(539,1),(540,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

1903 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(98,1),(251,1),(334,1),(354,1),(364,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(16,1),(43,1),(47,1),(232,1),(252,1),(261,1),(354,1),(363,1),(444,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(130,1),(201,1),(303,1),(403,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(26,1),(71,1),(283,1),(315,1),(410,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(65,1),(306,1),(411,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(14,1),(38,1),(43,1),(155,1),(249,1),(257,1),(364,1),(365,1),(451,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(171,1),(444,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(14,1),(95,1),(451,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(41,1),(444,1),(452,1)}
         9:{1,3,4,6}:{(4,1),(14,1),(16,1),(17,1),(43,1),(261,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(27,1),(57,1),(68,1),(115,1),(122,1),(130,1),(199,1),(205,1),(321,1),(322,1),(417,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(310,1),(413,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(25,1),(129,1),(303,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(26,1),(27,1),(315,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(60,1),(65,1),(109,1),(129,1),(188,1),(208,1),(311,1),(318,1),(411,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(65,1),(68,1),(218,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(101,1),(153,1),(180,1),(248,1),(274,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(45,1),(80,1),(82,1),(99,1),(153,1),(173,1),(274,1),(275,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(163,1),(171,1),(255,1),(373,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(35,1),(38,1),(43,1),(249,1),(256,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(38,1),(451,1),(452,1)}
        23:{1,3,4,5}:{(16,1),(40,1),(41,1),(452,1),(456,1)}
        24:{1,2,5,6,7}:{(12,1),(37,1),(42,1),(171,1),(238,1),(338,1),(353,1),(362,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(38,1),(43,1),(93,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(16,1),(43,1),(44,1)}
        27:{2,3,4,7}:{(14,1),(17,1),(44,1),(45,1),(95,1),(270,1)}
        28:{1,2,4,5,7}:{(15,1),(42,1),(46,1),(90,1),(95,1),(147,1),(171,1),(236,1),(260,1),(362,1),(368,1),(451,1)}
        29:{1,3,5,6}:{(15,1),(16,1),(40,1),(43,1),(46,1),(47,1),(261,1),(369,1)}
        30:{2,3,5}:{(16,1),(17,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(45,1),(48,1),(49,1),(96,1),(99,1),(177,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(52,1),(53,1),(70,1),(113,1),(137,1),(205,1),(228,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(114,1),(298,1),(325,1),(480,1),(521,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(52,1),(54,1),(55,1),(220,1),(328,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(68,1),(121,1),(129,1),(199,1),(204,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(417,1),(418,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(61,1),(67,1),(128,1),(302,1),(310,1),(410,1)}
        38:{1,4,6}:{(21,1),(22,1),(57,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(64,1),(128,1)}
        40:{1,3,4,6}:{(23,1),(29,1),(64,1),(65,1),(411,1),(416,1)}
        41:{2,4,5}:{(23,1),(30,1),(65,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(61,1),(67,1),(130,1),(190,1),(287,1),(386,1)}
        43:{1,3,6}:{(25,1),(26,1),(68,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(63,1),(68,1),(69,1)}
        45:{1,3,4,7}:{(27,1),(31,1),(69,1),(70,1),(133,1),(225,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(64,1),(67,1),(71,1),(315,1),(415,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(65,1),(68,1),(71,1),(72,1),(129,1),(188,1),(218,1)}
        48:{1,3,5}:{(30,1),(31,1),(66,1),(73,1)}
        49:{1,2,4,6}:{(31,1),(70,1),(73,1),(74,1),(137,1),(141,1)}
        50:{1,3,4,5,6}:{(40,1),(75,1),(76,1),(91,1),(144,1),(162,1),(241,1),(264,1),(369,1),(433,1)}
        51:{1,2,3,5,6}:{(33,1),(77,1),(78,1),(150,1),(153,1),(180,1),(245,1),(273,1),(279,1),(446,1),(497,1),(499,1)}
        52:{1,2,5,7}:{(32,1),(34,1),(78,1),(255,1),(279,1)}
        53:{1,2,4,7}:{(33,1),(77,1),(80,1),(347,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(78,1),(82,1),(99,1),(153,1),(172,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(376,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(85,1),(98,1),(163,1),(171,1),(248,1),(255,1),(338,1),(370,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(38,1),(82,1),(86,1)}
        58:{3,4,5,7}:{(36,1),(86,1),(163,1),(455,1),(456,1)}
        59:{2,3,4,5}:{(41,1),(88,1),(89,1),(170,1),(341,1),(456,1)}
        60:{1,4,5,6}:{(38,1),(84,1),(90,1),(91,1),(256,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(85,1),(90,1),(451,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(43,1),(86,1),(91,1),(93,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(93,1),(94,1),(95,1),(171,1)}
        64:{1,3,4,7}:{(40,1),(46,1),(95,1),(451,1),(455,1)}
        65:{2,4,6}:{(40,1),(41,1),(47,1),(95,1),(96,1)}
        66:{1,4,5}:{(41,1),(48,1),(96,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(46,1),(98,1),(428,1)}
        68:{2,3,6}:{(43,1),(44,1),(93,1),(99,1)}
        69:{1,3,5,7}:{(44,1),(45,1),(48,1),(94,1),(99,1),(100,1)}
        70:{1,2,4,7}:{(45,1),(49,1),(100,1),(101,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(95,1),(98,1),(102,1),(171,1),(236,1),(270,1)}
        72:{1,3,5,6}:{(47,1),(48,1),(96,1),(99,1),(102,1),(103,1),(172,1),(177,1)}
        73:{1,2,5}:{(48,1),(49,1)}
        74:{1,2,3,6}:{(49,1),(101,1),(104,1),(177,1)}
        75:{1,3,4,5,7}:{(50,1),(64,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(65,1),(105,1),(108,1),(109,1),(129,1),(188,1),(289,1),(467,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(110,1),(111,1),(296,1),(326,1),(520,1)}
        78:{1,2,5,6}:{(52,1),(54,1),(113,1),(137,1),(204,1)}
        79:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(110,1),(113,1),(114,1),(119,1)}
        80:{1,3,4,7}:{(53,1),(111,1),(114,1),(115,1),(521,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(112,1),(117,1),(136,1),(198,1),(203,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(114,1),(118,1),(119,1),(193,1),(203,1),(295,1)}
        84:{2,4,5,6}:{(57,1),(60,1),(116,1),(120,1),(121,1),(129,1),(204,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(122,1),(417,1)}
        86:{3,4,6}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,5,7}:{(58,1),(59,1),(63,1),(119,1),(123,1),(124,1),(125,1),(212,1),(216,1),(294,1),(389,1),(393,1),(417,1),(418,1),(488,1),(529,1)}
        88:{2,3,4,6}:{(59,1),(65,1),(105,1),(125,1),(126,1),(218,1),(289,1),(416,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(126,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(61,1),(120,1),(128,1),(310,1)}
        91:{1,3,5,6}:{(60,1),(62,1),(121,1),(128,1),(129,1)}
        92:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(122,1),(128,1),(130,1)}
        93:{2,4,6}:{(62,1),(63,1),(68,1),(129,1),(131,1)}
        94:{1,4,5,7}:{(63,1),(66,1),(69,1),(131,1),(133,1),(220,1)}
        95:{2,4,7}:{(64,1),(65,1),(71,1),(133,1)}
        96:{1,4,6}:{(65,1),(66,1),(72,1),(133,1)}
        97:{1,2,4,5}:{(66,1),(73,1),(127,1),(134,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(71,1),(130,1),(136,1),(287,1)}
        99:{1,3,6}:{(68,1),(69,1),(131,1),(137,1)}
       100:{1,2,5,7}:{(69,1),(70,1),(73,1),(137,1)}
       101:{1,2,3,7}:{(70,1),(74,1),(225,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(133,1),(136,1),(139,1),(220,1),(225,1)}
       103:{1,2,5,6}:{(72,1),(73,1),(134,1),(137,1),(139,1),(188,1)}
       104:{1,2,3,5}:{(73,1),(74,1),(135,1),(141,1)}
       105:{2,3,5,6}:{(76,1),(88,1),(143,1),(144,1),(369,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(95,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(96,1),(144,1),(147,1),(172,1),(336,1),(494,1)}
       110:{1,2,4,5}:{(77,1),(150,1),(243,1),(279,1),(376,1)}
       111:{1,3,4,6}:{(77,1),(80,1),(150,1),(151,1),(153,1),(499,1),(500,1)}
       112:{1,2,5,6,7}:{(78,1),(81,1),(152,1),(179,1),(255,1),(272,1),(333,1),(338,1)}
       113:{1,2,4,6}:{(78,1),(79,1),(82,1),(153,1),(159,1)}
       114:{1,3,5,7}:{(79,1),(80,1),(150,1),(153,1),(154,1)}
       115:{2,3,4,7}:{(80,1),(151,1),(154,1),(155,1),(347,1),(501,1)}
       116:{1,4,5,6}:{(82,1),(84,1),(156,1),(157,1),(172,1)}
       117:{1,4,6,7}:{(81,1),(82,1),(85,1),(156,1),(375,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(86,1),(153,1),(157,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(154,1),(159,1),(160,1),(243,1),(255,1),(347,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(90,1),(156,1),(163,1),(171,1),(255,1)}
       121:{3,5,6}:{(84,1),(86,1),(163,1)}
       122:{3,4,6,7}:{(85,1),(86,1),(163,1),(428,1),(455,1)}
       123:{2,3,4,6}:{(86,1),(87,1),(93,1),(159,1),(164,1),(166,1),(268,1),(371,1),(431,1),(513,1),(541,1)}
       124:{1,3,4,5,7}:{(87,1),(89,1),(94,1),(160,1),(166,1),(167,1),(168,1),(175,1),(259,1),(265,1),(346,1),(375,1),(376,1),(427,1),(435,1),(451,1),(452,1),(455,1),(456,1),(540,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(143,1),(168,1),(270,1),(340,1),(455,1)}
       126:{1,3,4,6}:{(88,1),(89,1),(96,1),(144,1),(168,1),(169,1),(177,1),(261,1),(336,1)}
       127:{2,4,5}:{(89,1),(169,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(92,1),(163,1),(171,1)}
       129:{2,5,6}:{(91,1),(93,1),(171,1),(172,1)}
       130:{2,4,6,7}:{(92,1),(93,1),(95,1),(98,1),(171,1),(173,1)}
       131:{1,4,6}:{(93,1),(94,1),(99,1),(172,1)}
       132:{1,2,4,5,7}:{(94,1),(97,1),(100,1),(167,1),(174,1),(175,1),(176,1),(181,1),(272,1),(279,1),(375,1),(376,1),(434,1),(498,1),(540,1),(550,1)}
       133:{1,4,7}:{(95,1),(96,1),(102,1)}
       134:{1,2,4,6}:{(96,1),(97,1),(103,1),(169,1),(176,1),(177,1)}
       135:{1,3,5}:{(97,1),(170,1),(177,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(102,1),(173,1),(179,1)}
       137:{1,2,6}:{(99,1),(100,1)}
       138:{1,2,3,5,7}:{(100,1),(101,1),(104,1),(175,1),(180,1),(181,1),(279,1),(497,1),(534,1),(550,1)}
       139:{1,2,5,7}:{(102,1),(103,1),(176,1),(179,1),(236,1)}
       140:{1,2,3,5,6}:{(103,1),(104,1),(177,1),(180,1),(182,1),(183,1),(237,1),(273,1),(277,1),(279,1),(378,1),(379,1)}
       141:{1,2,4}:{(104,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(125,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(126,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(133,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(134,1),(188,1),(191,1),(192,1),(221,1),(230,1),(289,1),(318,1),(326,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,5,6}:{(110,1),(113,1),(116,1),(194,1),(195,1),(204,1),(221,1),(296,1),(309,1),(318,1),(326,1),(407,1),(469,1)}
       150:{1,3,5}:{(110,1),(111,1),(196,1)}
       151:{2,3,4,6}:{(111,1),(115,1),(196,1),(197,1),(199,1),(296,1),(472,1),(473,1)}
       152:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(194,1),(198,1),(205,1),(381,1),(386,1),(460,1)}
       153:{1,3,6}:{(113,1),(114,1),(199,1)}
       154:{2,3,5,7}:{(114,1),(115,1),(119,1),(196,1),(199,1),(200,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(396,1),(474,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(203,1),(220,1)}
       157:{1,3,5,6}:{(116,1),(118,1),(121,1),(203,1),(204,1)}
       158:{1,3,4,6,7}:{(117,1),(118,1),(122,1),(198,1),(203,1),(205,1),(295,1)}
       159:{2,4,6}:{(118,1),(119,1),(199,1),(204,1),(206,1)}
       160:{1,4,5,7}:{(119,1),(200,1),(206,1),(297,1),(310,1),(396,1)}
       161:{1,2,4,5}:{(127,1),(208,1),(209,1),(306,1),(385,1),(405,1)}
       162:{3,4,5,6}:{(121,1),(210,1),(211,1),(416,1),(518,1)}
       163:{3,5,7}:{(120,1),(121,1),(122,1)}
       164:{2,3,5,6}:{(121,1),(123,1),(129,1),(204,1),(211,1),(212,1),(213,1),(467,1),(518,1),(543,1)}
       165:{2,3,4,6,7}:{(122,1),(123,1),(125,1),(130,1),(186,1),(205,1),(212,1),(214,1),(285,1),(321,1),(380,1),(388,1),(393,1),(417,1),(465,1),(515,1)}
       166:{1,3,4,6}:{(123,1),(124,1),(131,1),(206,1),(213,1),(215,1),(223,1),(313,1),(326,1),(411,1),(416,1),(464,1),(548,1)}
       167:{2,4,5,7}:{(124,1),(127,1),(215,1),(216,1),(217,1),(319,1),(395,1),(417,1),(418,1),(471,1)}
       168:{1,3,4,7}:{(125,1),(126,1),(133,1),(187,1),(217,1),(225,1),(315,1),(384,1)}
       169:{2,4,6}:{(126,1),(127,1),(188,1),(217,1),(218,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(218,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(130,1),(220,1)}
       172:{1,5,6}:{(129,1),(131,1),(220,1)}
       173:{1,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(220,1)}
       174:{1,2,4,6}:{(131,1),(132,1),(137,1),(215,1),(221,1),(223,1),(326,1),(548,1),(552,1)}
       175:{1,3,5,7}:{(132,1),(135,1),(216,1),(223,1),(224,1),(225,1),(328,1),(470,1),(521,1)}
       176:{1,2,4,7}:{(133,1),(134,1),(139,1),(217,1),(225,1)}
       177:{1,3,6}:{(134,1),(135,1),(218,1),(225,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,6}:{(137,1),(138,1),(223,1),(228,1),(552,1)}
       181:{1,2,4,7}:{(138,1),(141,1),(224,1),(228,1),(520,1)}
       182:{1,2,3,5,7}:{(139,1),(140,1),(225,1),(227,1),(229,1),(288,1),(325,1),(329,1),(330,1)}
       183:{1,2,4,6}:{(140,1),(141,1),(226,1),(229,1),(230,1),(289,1),(326,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(163,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(168,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(169,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(176,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(177,1),(237,1),(240,1),(241,1),(277,1),(369,1),(378,1)}
       193:{1,3,4,5}:{(150,1),(242,1),(243,1),(376,1),(456,1)}
       194:{1,2,4,5,7}:{(149,1),(152,1),(156,1),(244,1),(255,1),(272,1),(347,1),(360,1),(368,1),(375,1),(447,1),(498,1)}
       195:{1,3,5,6}:{(149,1),(150,1),(153,1),(242,1),(244,1),(245,1),(369,1),(499,1)}
       196:{2,3,5}:{(150,1),(151,1),(243,1),(246,1)}
       197:{1,3,4,6}:{(151,1),(155,1),(246,1),(247,1),(249,1),(348,1),(439,1),(440,1)}
       198:{1,3,6,7}:{(152,1),(153,1),(244,1),(248,1),(428,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(249,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(160,1),(246,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(250,1),(251,1)}
       202:{1,3,4,5,6}:{(157,1),(162,1),(242,1),(253,1),(254,1),(264,1),(359,1),(369,1),(450,1),(533,1)}
       203:{1,3,5,7}:{(156,1),(157,1),(158,1),(163,1),(255,1)}
       204:{2,5,6}:{(157,1),(159,1),(255,1),(256,1)}
       205:{2,4,6,7}:{(158,1),(159,1),(248,1),(255,1),(257,1),(347,1)}
       206:{1,4,6}:{(159,1),(160,1),(249,1),(256,1)}
       207:{1,2,4,5,7}:{(160,1),(161,1),(167,1),(250,1),(258,1),(259,1),(260,1),(349,1),(355,1),(362,1),(427,1),(438,1),(444,1),(445,1),(451,1),(452,1)}
       208:{1,2,4,6}:{(161,1),(169,1),(232,1),(260,1),(261,1),(336,1)}
       209:{1,3,5}:{(161,1),(170,1),(261,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(163,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,4,5,6}:{(162,1),(164,1),(263,1),(264,1),(371,1)}
       212:{2,3,5,7}:{(163,1),(164,1),(165,1),(171,1),(255,1),(263,1),(265,1),(430,1),(495,1),(532,1)}
       213:{1,3,5,6}:{(164,1),(166,1),(172,1),(256,1),(264,1),(265,1),(266,1),(369,1),(494,1),(549,1)}
       214:{1,3,4,6,7}:{(165,1),(166,1),(168,1),(173,1),(235,1),(257,1),(265,1),(267,1),(274,1),(337,1),(364,1),(375,1),(423,1),(426,1),(428,1),(435,1),(451,1),(455,1),(531,1)}
       215:{2,4,6}:{(166,1),(167,1),(266,1),(268,1)}
       216:{2,3,5,7}:{(167,1),(170,1),(175,1),(259,1),(268,1),(269,1),(270,1),(373,1),(437,1),(501,1)}
       217:{2,4,7}:{(168,1),(169,1),(236,1),(270,1)}
       218:{2,3,6}:{(169,1),(170,1),(177,1),(261,1),(270,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(173,1)}
       221:{1,2,5,6}:{(172,1),(174,1),(266,1),(272,1),(273,1),(279,1),(549,1)}
       222:{1,2,4,6,7}:{(173,1),(174,1),(176,1),(179,1),(267,1),(272,1),(274,1),(375,1),(490,1),(498,1),(531,1)}
       223:{1,3,6}:{(174,1),(175,1),(268,1)}
       224:{1,3,4,7}:{(175,1),(178,1),(181,1),(269,1),(275,1),(375,1),(500,1)}
       225:{1,3,7}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,6}:{(177,1),(178,1),(183,1),(271,1),(276,1),(277,1),(378,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(274,1),(278,1),(339,1),(378,1),(534,1)}
       228:{1,2,4,6}:{(180,1),(181,1),(275,1),(279,1)}
       229:{1,2,4,7}:{(182,1),(183,1),(276,1),(340,1),(375,1)}
       230:{1,2,4,5}:{(183,1),(277,1),(279,1),(341,1),(376,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(203,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(208,1),(283,1),(284,1),(405,1),(479,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(212,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(217,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(218,1),(284,1),(288,1),(289,1),(324,1),(420,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(225,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(326,1),(416,1)}
       242:{1,3,4,6}:{(193,1),(195,1),(295,1),(296,1),(326,1),(416,1)}
       243:{2,4,5}:{(193,1),(196,1),(296,1),(297,1)}
       244:{1,3,5,7}:{(194,1),(195,1),(198,1),(295,1),(298,1),(415,1),(521,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(204,1),(296,1),(298,1),(299,1),(407,1),(472,1)}
       246:{1,3,5}:{(196,1),(197,1),(297,1),(300,1)}
       247:{1,2,4,6}:{(197,1),(201,1),(300,1),(301,1),(303,1),(401,1)}
       248:{2,3,6,7}:{(198,1),(199,1),(205,1),(298,1),(302,1),(460,1)}
       249:{1,3,6}:{(199,1),(200,1),(206,1),(303,1)}
       250:{1,2,5,7}:{(200,1),(201,1),(300,1),(303,1)}
       251:{1,2,3,7}:{(201,1),(301,1),(474,1)}
       252:{1,2,3,5}:{(209,1),(305,1),(306,1),(405,1)}
       253:{1,3,4,5,7}:{(202,1),(203,1),(210,1),(281,1),(295,1),(308,1),(317,1),(406,1),(415,1),(484,1),(516,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(296,1),(307,1),(308,1),(309,1),(407,1),(483,1),(543,1)}
       255:{2,5,7}:{(203,1),(204,1),(205,1),(310,1)}
       256:{1,5,6}:{(204,1),(206,1),(310,1)}
       257:{1,4,6,7}:{(205,1),(206,1),(302,1),(310,1),(396,1)}
       258:{1,2,4,6}:{(206,1),(207,1),(215,1),(303,1),(311,1),(313,1),(411,1),(464,1),(479,1)}
       259:{1,3,5,7}:{(207,1),(209,1),(216,1),(313,1),(314,1),(315,1),(398,1),(413,1),(474,1)}
       260:{1,2,4,7}:{(208,1),(217,1),(283,1),(315,1),(384,1)}
       261:{1,3,6}:{(208,1),(209,1),(218,1),(315,1)}
       262:{1,3,4}:{(209,1),(219,1),(306,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(212,1),(285,1),(317,1),(417,1)}
       264:{1,4,5,6}:{(211,1),(213,1),(317,1),(318,1),(326,1),(411,1)}
       265:{1,3,5,7}:{(212,1),(213,1),(214,1),(220,1),(310,1),(317,1),(319,1),(415,1),(463,1),(542,1)}
       266:{2,5,6}:{(213,1),(215,1),(319,1)}
       267:{2,4,6,7}:{(214,1),(215,1),(217,1),(287,1),(319,1),(321,1),(417,1),(460,1),(471,1)}
       268:{2,3,6}:{(215,1),(216,1),(223,1),(313,1)}
       269:{2,3,4,7}:{(216,1),(219,1),(224,1),(314,1),(322,1),(417,1),(473,1)}
       270:{2,3,7}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,6}:{(218,1),(219,1),(226,1),(289,1),(316,1),(323,1),(324,1),(420,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(222,1),(319,1),(325,1),(542,1)}
       273:{1,3,5,6}:{(221,1),(223,1),(320,1),(325,1),(326,1),(328,1)}
       274:{1,3,6,7}:{(222,1),(223,1),(225,1),(321,1),(325,1),(521,1)}
       275:{1,3,4,6}:{(223,1),(224,1),(228,1),(322,1),(326,1),(328,1)}
       276:{1,3,4,7}:{(225,1),(226,1),(229,1),(323,1),(329,1)}
       277:{1,3,5}:{(226,1),(230,1),(324,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(229,1),(327,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,5}:{(228,1),(328,1)}
       280:{1,2,4,5,7}:{(229,1),(230,1),(329,1),(330,1),(331,1),(389,1),(421,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(255,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(260,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(261,1),(335,1),(336,1),(367,1),(454,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(265,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(270,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(378,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(277,1),(341,1),(376,1),(456,1)}
       294:{2,3,4,5}:{(243,1),(345,1),(346,1),(437,1),(456,1),(510,1)}
       295:{1,3,4,7}:{(242,1),(244,1),(347,1),(375,1),(455,1)}
       296:{2,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1)}
       297:{1,4,5}:{(243,1),(246,1),(348,1)}
       298:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(347,1),(350,1),(447,1),(501,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(249,1),(256,1),(348,1),(350,1),(351,1),(439,1)}
       300:{1,2,5}:{(246,1),(247,1)}
       301:{1,2,3,6}:{(247,1),(251,1),(352,1),(439,1)}
       302:{1,3,6,7}:{(248,1),(249,1),(257,1),(350,1),(353,1)}
       303:{1,2,6}:{(249,1),(250,1)}
       304:{1,2,3,5,7}:{(250,1),(251,1),(252,1),(259,1),(352,1),(354,1),(355,1),(356,1),(444,1),(445,1)}
       305:{1,2,3,6}:{(252,1),(261,1),(356,1),(357,1)}
       306:{1,2,4}:{(252,1),(262,1)}
       307:{2,3,5,6}:{(254,1),(345,1),(358,1),(359,1),(369,1)}
       308:{2,4,5,7}:{(253,1),(254,1),(255,1),(332,1),(347,1),(358,1),(360,1),(447,1),(509,1),(532,1)}
       309:{1,4,5,6}:{(254,1),(256,1),(348,1),(359,1),(360,1),(508,1),(549,1)}
       310:{1,5,7}:{(255,1),(256,1),(257,1)}
       311:{1,2,5,6}:{(256,1),(258,1),(266,1),(362,1),(363,1),(444,1),(494,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(260,1),(267,1),(334,1),(353,1),(362,1),(364,1),(426,1),(438,1),(451,1)}
       313:{1,3,6}:{(258,1),(259,1),(268,1)}
       314:{1,3,4,7}:{(259,1),(262,1),(269,1),(355,1),(365,1),(440,1),(451,1)}
       315:{1,3,7}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,6}:{(261,1),(262,1),(271,1),(336,1),(357,1),(366,1),(367,1),(454,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(265,1),(337,1),(368,1),(375,1),(451,1)}
       318:{2,4,5,6}:{(264,1),(266,1),(368,1),(369,1),(371,1)}
       319:{2,5,7}:{(265,1),(266,1),(267,1)}
       320:{2,3,5,6}:{(266,1),(268,1),(273,1),(363,1),(369,1),(370,1),(371,1),(373,1)}
       321:{2,3,6,7}:{(267,1),(268,1),(270,1),(274,1),(364,1),(370,1),(428,1),(501,1)}
       322:{2,3,4,6}:{(268,1),(269,1),(275,1),(365,1),(371,1),(373,1)}
       323:{2,3,4,7}:{(270,1),(271,1),(276,1),(340,1),(366,1),(374,1)}
       324:{2,3,5}:{(271,1),(277,1),(341,1),(367,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(274,1),(370,1),(375,1)}
       326:{1,4,6}:{(273,1),(371,1),(375,1),(376,1)}
       327:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(278,1),(372,1),(375,1),(377,1),(378,1),(459,1),(531,1),(536,1),(551,1)}
       328:{1,3,5}:{(275,1),(279,1),(373,1),(376,1)}
       329:{1,3,5,7}:{(276,1),(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(279,1),(377,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(280,1),(378,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(308,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(310,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(479,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(315,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(319,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(420,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(324,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(329,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,3,4,6}:{(294,1),(296,1),(307,1),(393,1),(394,1),(416,1),(472,1),(483,1)}
       346:{1,3,4,5}:{(294,1),(297,1),(394,1),(395,1),(398,1),(470,1),(528,1)}
       347:{2,4,7}:{(295,1),(296,1),(298,1),(396,1)}
       348:{1,4,6}:{(296,1),(297,1),(299,1),(396,1)}
       349:{1,2,4,5}:{(297,1),(300,1),(395,1),(397,1),(398,1),(401,1)}
       350:{1,3,5,7}:{(298,1),(299,1),(302,1),(310,1),(396,1),(399,1),(474,1)}
       351:{1,2,5,6}:{(299,1),(300,1),(303,1),(397,1),(399,1),(407,1)}
       352:{1,2,3,5}:{(300,1),(301,1),(398,1),(401,1)}
       353:{1,2,6,7}:{(302,1),(303,1),(399,1),(460,1)}
       354:{1,2,3,6}:{(303,1),(304,1),(313,1),(403,1),(479,1)}
       355:{1,2,4,7}:{(304,1),(306,1),(314,1),(401,1),(403,1)}
       356:{1,2,3,7}:{(305,1),(315,1),(404,1)}
       357:{1,2,4,6}:{(305,1),(306,1),(316,1),(404,1),(405,1),(479,1)}
       358:{2,3,5,7}:{(307,1),(308,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,3,5,6}:{(307,1),(309,1),(394,1),(406,1),(407,1)}
       360:{1,4,5,7}:{(308,1),(309,1),(310,1),(381,1),(396,1),(406,1),(527,1),(542,1)}
       361:{1,2,4,5,6}:{(309,1),(311,1),(318,1),(397,1),(407,1),(408,1),(409,1),(411,1),(477,1),(483,1),(517,1),(526,1),(543,1)}
       362:{1,2,5,7}:{(310,1),(311,1),(312,1),(319,1),(410,1),(463,1)}
       363:{1,3,5,6}:{(311,1),(313,1),(320,1),(410,1),(411,1),(413,1)}
       364:{1,3,6,7}:{(312,1),(313,1),(315,1),(321,1),(410,1),(474,1)}
       365:{1,3,4,6}:{(313,1),(314,1),(322,1),(403,1),(411,1),(413,1)}
       366:{1,3,4,7}:{(315,1),(316,1),(323,1),(384,1),(404,1),(414,1)}
       367:{1,3,5}:{(316,1),(324,1),(385,1),(405,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(319,1),(386,1),(415,1),(417,1)}
       369:{3,5,6}:{(318,1),(415,1),(416,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(321,1),(325,1),(410,1),(415,1),(417,1)}
       371:{2,4,6}:{(320,1),(326,1),(411,1),(416,1),(417,1),(418,1)}
       372:{2,3,4,6,7}:{(321,1),(322,1),(323,1),(327,1),(388,1),(412,1),(417,1),(419,1),(420,1),(465,1),(489,1),(515,1),(523,1),(547,1)}
       373:{2,3,5}:{(322,1),(328,1),(413,1),(418,1)}
       374:{2,3,5,7}:{(323,1),(324,1),(329,1),(389,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(326,1),(417,1)}
       376:{1,4,5}:{(326,1),(328,1),(418,1)}
       377:{1,3,5,7}:{(327,1),(328,1),(330,1),(419,1),(421,1),(422,1),(542,1)}
       378:{1,3,6}:{(329,1),(331,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(360,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(362,1),(424,1),(425,1),(506,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(454,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(367,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(370,1),(425,1),(428,1),(429,1),(430,1),(458,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(374,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(378,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(347,1),(358,1),(435,1),(455,1),(501,1),(509,1)}
       394:{1,3,4,6}:{(345,1),(346,1),(348,1),(359,1),(435,1),(436,1),(439,1),(499,1),(508,1)}
       395:{2,4,5}:{(346,1),(436,1),(437,1)}
       396:{1,4,7}:{(347,1),(348,1),(350,1)}
       397:{1,2,4,6}:{(348,1),(349,1),(351,1),(436,1),(438,1),(439,1)}
       398:{1,3,5}:{(349,1),(437,1),(439,1),(440,1)}
       399:{1,2,5,7}:{(350,1),(351,1),(353,1),(438,1),(447,1)}
       400:{1,2,3,5,6}:{(351,1),(352,1),(354,1),(363,1),(439,1),(441,1),(442,1),(444,1),(448,1),(504,1),(506,1),(539,1)}
       401:{1,2,4}:{(352,1),(440,1)}
       402:{1,2,3,6,7}:{(353,1),(354,1),(356,1),(364,1),(441,1),(443,1),(491,1),(539,1)}
       403:{1,2,4,6}:{(354,1),(355,1),(365,1),(444,1)}
       404:{1,2,4,7}:{(356,1),(357,1),(366,1),(445,1)}
       405:{1,2,5}:{(357,1),(367,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(360,1),(423,1),(435,1),(447,1)}
       407:{2,5,6}:{(359,1),(436,1),(447,1)}
       408:{1,2,4,5,7}:{(360,1),(361,1),(362,1),(368,1),(424,1),(438,1),(447,1),(449,1),(451,1),(493,1),(509,1),(532,1)}
       409:{1,3,5,6}:{(361,1),(369,1),(439,1),(448,1),(449,1),(450,1),(504,1),(539,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(364,1),(370,1),(451,1)}
       411:{1,4,6}:{(363,1),(371,1),(451,1),(452,1)}
       412:{1,3,4,6,7}:{(364,1),(365,1),(366,1),(372,1),(426,1),(443,1),(451,1),(453,1),(454,1),(503,1),(512,1),(539,1)}
       413:{1,3,5}:{(365,1),(373,1),(444,1),(452,1)}
       414:{1,3,5,7}:{(366,1),(367,1),(374,1),(427,1),(445,1),(454,1)}
       415:{3,5,7}:{(368,1),(369,1),(428,1),(455,1)}
       416:{3,4,6}:{(369,1),(371,1),(455,1),(456,1)}
       417:{2,4,7}:{(370,1),(371,1),(375,1),(451,1),(455,1)}
       418:{2,4,5}:{(371,1),(373,1),(376,1),(452,1),(456,1)}
       419:{2,3,5,7}:{(372,1),(373,1),(377,1),(430,1),(453,1),(457,1),(458,1),(495,1),(532,1)}
       420:{2,3,6}:{(374,1),(378,1),(431,1),(454,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(377,1),(457,1),(459,1)}
       422:{1,3,5,6}:{(377,1),(378,1),(379,1),(458,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(408,1),(460,1),(461,1),(462,1),(515,1),(526,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(410,1),(461,1),(462,1),(463,1),(487,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(414,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(417,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(420,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,2,4,5}:{(395,1),(469,1),(470,1),(520,1),(528,1),(545,1)}
       435:{1,3,4,7}:{(393,1),(394,1),(396,1),(406,1),(471,1),(474,1),(521,1),(527,1)}
       436:{2,4,6}:{(394,1),(395,1),(407,1),(471,1),(472,1)}
       437:{2,3,5}:{(395,1),(398,1),(470,1),(472,1),(473,1)}
       438:{1,2,4,7}:{(396,1),(397,1),(399,1),(471,1),(474,1)}
       439:{1,3,6}:{(397,1),(398,1),(472,1),(474,1)}
       440:{1,3,4}:{(398,1),(401,1),(473,1)}
       441:{1,2,3,5,7}:{(399,1),(400,1),(402,1),(410,1),(474,1),(476,1),(478,1),(482,1),(525,1)}
       442:{1,2,4,6}:{(400,1),(401,1),(411,1),(475,1),(476,1),(477,1),(483,1)}
       443:{1,2,4,6,7}:{(402,1),(403,1),(404,1),(412,1),(476,1),(478,1),(479,1),(515,1),(526,1)}
       444:{1,2,5}:{(403,1),(413,1)}
       445:{1,2,5,7}:{(404,1),(405,1),(414,1),(479,1)}
       446:{1,2,5,6}:{(407,1),(469,1),(480,1),(481,1),(545,1),(552,1)}
       447:{2,5,7}:{(406,1),(407,1),(460,1),(471,1)}
       448:{2,3,5,6}:{(407,1),(409,1),(472,1),(481,1),(482,1),(483,1),(524,1),(543,1),(547,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(415,1),(461,1),(474,1),(482,1),(484,1)}
       450:{1,3,4,6}:{(409,1),(411,1),(416,1),(483,1),(484,1),(485,1)}
       451:{1,4,7}:{(410,1),(411,1),(417,1)}
       452:{1,4,5}:{(411,1),(413,1),(418,1)}
       453:{1,3,5,7}:{(412,1),(413,1),(419,1),(463,1),(478,1),(486,1),(487,1)}
       454:{1,3,6}:{(414,1),(420,1),(464,1),(479,1)}
       455:{3,4,7}:{(415,1),(416,1),(417,1)}
       456:{3,4,5}:{(416,1),(418,1)}
       457:{2,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(486,1),(488,1),(489,1)}
       458:{2,3,5,6}:{(419,1),(420,1),(422,1),(467,1),(487,1),(489,1),(518,1),(543,1),(547,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(447,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(449,1),(491,1),(539,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(451,1),(493,1),(512,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(454,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{1,2,4,6}:{(434,1),(436,1),(446,1),(498,1),(499,1),(508,1)}
       470:{1,3,5}:{(434,1),(437,1),(499,1),(500,1)}
       471:{2,4,7}:{(435,1),(436,1),(447,1),(501,1)}
       472:{2,3,6}:{(436,1),(437,1),(439,1),(499,1),(501,1)}
       473:{2,3,4}:{(437,1),(440,1),(500,1)}
       474:{1,3,7}:{(438,1),(439,1),(501,1)}
       475:{1,3,4,6}:{(439,1),(440,1),(442,1),(502,1),(503,1),(504,1),(539,1)}
       476:{1,2,4,7}:{(441,1),(442,1),(451,1),(503,1),(509,1)}
       477:{1,2,4,5}:{(442,1),(444,1),(452,1),(504,1),(510,1)}
       478:{1,2,5,7}:{(443,1),(444,1),(453,1),(506,1),(532,1)}
       479:{1,2,6}:{(445,1),(454,1)}
       480:{1,2,5,7}:{(446,1),(447,1),(490,1),(498,1),(507,1)}
       481:{1,3,5,6}:{(446,1),(448,1),(499,1),(507,1),(508,1),(537,1),(549,1),(551,1)}
       482:{2,3,5,7}:{(447,1),(448,1),(449,1),(491,1),(501,1),(507,1),(509,1),(532,1)}
       483:{2,4,6}:{(448,1),(450,1),(508,1),(509,1),(510,1)}
       484:{1,3,4,7}:{(449,1),(450,1),(451,1),(455,1),(509,1)}
       485:{1,3,4,5}:{(450,1),(452,1),(456,1),(504,1),(510,1)}
       486:{1,4,5,7}:{(451,1),(452,1),(453,1),(457,1),(512,1)}
       487:{1,3,5,6}:{(453,1),(454,1),(458,1),(494,1),(506,1),(512,1),(539,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(457,1),(495,1),(513,1)}
       489:{2,4,6}:{(457,1),(458,1),(459,1),(512,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(482,1),(514,1),(515,1),(547,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(484,1),(515,1),(516,1),(530,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,3,5}:{(470,1),(519,1),(520,1),(545,1)}
       498:{1,2,4,7}:{(469,1),(471,1),(480,1),(521,1),(527,1)}
       499:{1,3,6}:{(469,1),(470,1),(472,1),(521,1)}
       500:{1,3,4}:{(470,1),(473,1),(520,1)}
       501:{2,3,7}:{(471,1),(472,1),(474,1),(521,1)}
       502:{2,3,4,6}:{(472,1),(473,1),(475,1),(483,1),(522,1),(523,1),(524,1),(547,1)}
       503:{1,3,4,7}:{(474,1),(475,1),(476,1),(523,1),(525,1)}
       504:{1,3,5}:{(475,1),(477,1),(524,1)}
       505:{1,2,4,5,7}:{(476,1),(477,1),(478,1),(486,1),(525,1),(526,1),(529,1)}
       506:{1,2,5,6}:{(478,1),(479,1),(487,1),(526,1),(543,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(482,1),(514,1),(521,1),(527,1),(542,1)}
       508:{1,4,6}:{(481,1),(483,1),(527,1),(528,1)}
       509:{2,4,7}:{(482,1),(483,1),(484,1),(527,1)}
       510:{2,4,5}:{(483,1),(485,1),(524,1),(528,1)}
       511:{1,3,4,5,7}:{(484,1),(485,1),(486,1),(488,1),(516,1),(525,1),(529,1),(530,1)}
       512:{1,4,6}:{(486,1),(487,1),(489,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(509,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(512,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,2,3,6}:{(497,1),(499,1),(534,1),(535,1)}
       520:{1,2,4}:{(497,1),(500,1)}
       521:{1,3,7}:{(498,1),(499,1),(501,1)}
       522:{1,3,4,6}:{(499,1),(500,1),(502,1),(508,1),(535,1),(536,1),(537,1),(551,1)}
       523:{2,3,4,7}:{(501,1),(502,1),(503,1),(509,1),(536,1),(538,1)}
       524:{2,3,5}:{(502,1),(504,1),(510,1),(537,1)}
       525:{1,3,5,7}:{(503,1),(504,1),(505,1),(538,1),(539,1)}
       526:{1,2,4,6}:{(505,1),(506,1),(512,1),(539,1),(541,1)}
       527:{1,4,7}:{(507,1),(508,1),(509,1)}
       528:{1,4,5}:{(508,1),(510,1),(537,1)}
       529:{2,4,5,7}:{(509,1),(510,1),(511,1),(532,1),(538,1),(540,1),(541,1)}
       530:{1,3,4,6}:{(511,1),(512,1),(513,1),(533,1),(539,1),(541,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(530,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(521,1),(544,1)}
       535:{1,2,4,6}:{(519,1),(520,1),(522,1),(544,1),(545,1),(552,1)}
       536:{1,3,4,7}:{(521,1),(522,1),(523,1),(527,1),(544,1),(546,1)}
       537:{1,3,5}:{(522,1),(524,1),(528,1),(545,1)}
       538:{2,3,5,7}:{(523,1),(524,1),(525,1),(529,1),(546,1),(547,1)}
       539:{1,3,6}:{(525,1),(526,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(529,1),(542,1),(546,1),(548,1)}
       541:{2,4,6}:{(529,1),(530,1),(543,1),(547,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(536,1),(550,1)}
       545:{1,2,5}:{(535,1),(537,1)}
       546:{1,3,5,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,3,6}:{(538,1),(539,1),(541,1),(551,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       551:{1,3,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1904 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1905 :   0:{1,2,3,6,7}:{(1,1),(2,1),(37,1),(40,1),(73,1),(89,1),(244,1),(368,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(121,1),(288,1),(353,1),(357,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(60,1),(107,1),(113,1),(122,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(22,1),(27,1),(62,1),(68,1),(113,1),(177,1),(269,1),(341,1)}
         4:{1,3,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(12,1),(32,1),(38,1),(40,1),(88,1),(147,1),(153,1),(244,1),(326,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(14,1),(35,1),(40,1),(73,1),(85,1),(148,1),(154,1),(242,1),(320,1),(327,1)}
         6:{1,2,4,7}:{(1,1),(11,1),(12,1),(160,1),(326,1)}
         7:{1,2,5,7}:{(2,1),(10,1),(14,1),(148,1),(150,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(93,1),(150,1),(222,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(22,1),(47,1),(62,1),(102,1),(113,1),(127,1),(216,1),(300,1)}
        10:{1,3,5,7}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1),(194,1),(196,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1),(21,1),(117,1),(199,1),(287,1)}
        12:{1,3,4,7}:{(6,1),(20,1),(22,1),(23,1),(357,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(18,1),(21,1),(23,1),(24,1),(51,1)}
        14:{1,2,5,6}:{(7,1),(19,1),(24,1),(108,1),(122,1)}
        15:{2,4,5,7}:{(8,1),(18,1),(26,1),(27,1),(266,1),(341,1)}
        16:{2,3,5,6}:{(8,1),(19,1),(27,1),(62,1),(64,1),(108,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(136,1),(150,1),(169,1)}
        18:{1,4,5,7}:{(10,1),(15,1),(29,1),(32,1),(241,1),(326,1)}
        19:{1,3,5,6}:{(10,1),(14,1),(16,1),(30,1),(32,1),(40,1),(88,1),(149,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(34,1),(35,1),(40,1),(245,1),(327,1)}
        21:{1,2,4,5}:{(11,1),(35,1),(81,1),(148,1),(241,1)}
        22:{2,3,4,7}:{(12,1),(34,1),(38,1),(39,1),(160,1),(329,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(35,1),(39,1),(40,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(32,1),(40,1),(78,1)}
        25:{1,2,5,6,7}:{(14,1),(33,1),(41,1),(150,1),(163,1),(233,1),(243,1),(255,1),(304,1)}
        26:{3,4,5,7}:{(15,1),(44,1),(93,1),(305,1),(365,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(44,1)}
        28:{2,3,5,6,7}:{(16,1),(33,1),(45,1),(89,1),(93,1),(150,1),(304,1),(309,1),(362,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(46,1),(47,1),(213,1),(300,1)}
        30:{2,3,5,6}:{(17,1),(19,1),(47,1),(62,1),(98,1),(108,1)}
        31:{1,3,4,5,7}:{(18,1),(23,1),(26,1),(46,1),(51,1),(52,1),(54,1),(109,1),(118,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(47,1)}
        33:{1,3,5,6,7}:{(19,1),(25,1),(28,1),(48,1),(53,1),(63,1),(109,1),(123,1),(196,1),(288,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(56,1),(57,1),(62,1),(117,1),(200,1),(291,1)}
        35:{1,3,5}:{(20,1),(21,1),(57,1)}
        36:{1,2,4,5,6}:{(21,1),(24,1),(49,1),(58,1),(59,1),(108,1),(117,1),(192,1),(195,1),(211,1),(264,1),(282,1),(287,1),(290,1)}
        37:{1,2,3,7}:{(55,1),(60,1),(293,1)}
        38:{1,3,4,7}:{(22,1),(56,1),(60,1),(61,1),(206,1),(293,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(51,1),(57,1),(61,1),(62,1)}
        40:{1,3,6}:{(23,1),(24,1),(62,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(59,1),(63,1),(113,1),(275,1),(295,1),(336,1),(346,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(64,1),(65,1),(108,1)}
        43:{2,3,4,5,7}:{(26,1),(51,1),(66,1),(67,1),(114,1),(129,1),(180,1),(203,1),(266,1),(335,1),(341,1),(344,1)}
        44:{3,4,6}:{(26,1),(27,1),(64,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(53,1),(65,1),(68,1),(341,1)}
        46:{3,4,5,7}:{(29,1),(71,1),(136,1),(256,1),(334,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(71,1)}
        48:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(89,1),(136,1),(150,1),(255,1),(260,1),(331,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(69,1),(74,1),(75,1),(149,1)}
        50:{1,2,3,5,7}:{(37,1),(73,1),(76,1),(80,1),(87,1),(148,1),(151,1),(154,1),(227,1),(311,1)}
        51:{2,4,5,7}:{(31,1),(39,1),(77,1),(78,1),(81,1),(150,1),(160,1)}
        52:{1,3,4,6}:{(31,1),(32,1),(40,1),(44,1),(71,1),(74,1),(78,1)}
        53:{1,4,6,7}:{(32,1),(33,1),(45,1),(72,1),(75,1),(326,1)}
        54:{1,3,4,5}:{(35,1),(81,1),(82,1),(241,1),(256,1),(305,1)}
        55:{1,2,3,6}:{(37,1),(80,1),(83,1),(250,1)}
        56:{1,3,4,6}:{(34,1),(38,1),(83,1),(84,1),(88,1),(157,1),(159,1),(250,1)}
        57:{2,3,5}:{(34,1),(35,1),(81,1),(84,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(40,1),(82,1),(85,1),(86,1),(257,1),(306,1),(327,1)}
        59:{1,2,4,5,7}:{(36,1),(41,1),(75,1),(86,1),(150,1),(160,1),(240,1),(243,1),(258,1),(307,1),(323,1),(326,1),(328,1)}
        60:{1,2,4,7}:{(37,1),(38,1),(83,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(77,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(78,1),(88,1)}
        63:{1,3,6,7}:{(40,1),(41,1),(86,1),(89,1),(331,1),(362,1)}
        64:{3,5,6}:{(42,1),(44,1),(93,1)}
        65:{2,4,5,7}:{(42,1),(45,1),(75,1),(93,1),(150,1)}
        66:{1,3,4,5,7}:{(43,1),(77,1),(95,1),(96,1),(151,1),(155,1),(171,1),(241,1),(249,1),(256,1),(326,1),(334,1),(366,1)}
        67:{2,3,4,6}:{(43,1),(44,1),(78,1),(92,1),(96,1),(225,1),(308,1),(361,1),(369,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(93,1),(362,1),(365,1)}
        69:{2,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(108,1)}
        70:{2,3,4,5,7}:{(46,1),(51,1),(100,1),(101,1),(114,1),(130,1),(179,1),(203,1),(213,1),(294,1),(300,1),(344,1)}
        71:{3,4,6}:{(46,1),(47,1),(98,1)}
        72:{2,4,6,7}:{(47,1),(48,1),(53,1),(99,1),(102,1),(300,1)}
        73:{1,2,3,6}:{(50,1),(107,1),(122,1),(197,1),(343,1)}
        74:{1,3,5,6}:{(49,1),(52,1),(64,1),(98,1),(108,1),(109,1)}
        75:{1,4,5,7}:{(49,1),(53,1),(65,1),(99,1),(109,1),(196,1)}
        76:{1,2,4,7}:{(50,1),(107,1),(110,1),(115,1),(199,1)}
        77:{1,4,5,7}:{(51,1),(61,1),(112,1),(116,1),(196,1),(206,1)}
        78:{2,4,6}:{(51,1),(52,1),(62,1),(108,1),(112,1)}
        79:{1,3,4,6,7}:{(52,1),(53,1),(63,1),(68,1),(102,1),(109,1),(113,1),(118,1)}
        80:{1,2,3,5}:{(55,1),(115,1),(119,1),(204,1)}
        81:{2,4,5}:{(54,1),(57,1),(116,1),(117,1)}
        82:{1,3,4,6}:{(54,1),(58,1),(117,1),(118,1),(287,1),(298,1),(339,1)}
        83:{1,2,4,6}:{(55,1),(56,1),(60,1),(115,1),(119,1),(122,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(119,1)}
        85:{2,3,5,6}:{(57,1),(58,1),(62,1),(108,1),(117,1),(120,1),(121,1),(282,1),(291,1)}
        86:{1,3,5,7}:{(58,1),(59,1),(63,1),(118,1),(121,1),(299,1),(340,1),(357,1)}
        87:{1,2,5,7}:{(60,1),(61,1),(119,1),(122,1)}
        88:{1,3,6}:{(61,1),(62,1),(112,1),(122,1)}
        89:{2,3,6,7}:{(62,1),(63,1),(113,1),(121,1),(123,1),(346,1)}
        90:{2,4,5,6,7}:{(65,1),(104,1),(124,1),(187,1),(208,1),(336,1),(380,1)}
        91:{3,4,5,6}:{(64,1),(125,1),(126,1),(339,1),(378,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(108,1),(125,1),(128,1),(129,1),(378,1),(383,1)}
        93:{3,5,7}:{(64,1),(65,1),(68,1)}
        94:{2,3,4,7}:{(110,1),(127,1),(130,1),(200,1),(300,1)}
        95:{2,4,5,7}:{(66,1),(130,1),(131,1),(201,1),(213,1),(215,1),(292,1),(300,1)}
        96:{1,3,4,6}:{(66,1),(67,1),(112,1),(128,1),(131,1),(197,1),(287,1),(298,1),(381,1)}
        97:{2,3,4,6,7}:{(67,1),(68,1),(113,1),(129,1),(132,1),(203,1),(208,1),(269,1),(272,1),(341,1),(379,1),(384,1)}
        98:{3,5,6}:{(69,1),(71,1),(136,1)}
        99:{2,4,5,7}:{(69,1),(72,1),(75,1),(136,1),(150,1)}
       100:{1,3,4,5,7}:{(70,1),(77,1),(138,1),(139,1),(151,1),(155,1),(224,1),(241,1),(249,1),(305,1),(326,1),(365,1),(366,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(78,1),(135,1),(139,1),(172,1),(259,1),(330,1),(369,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(136,1),(331,1),(334,1)}
       103:{1,2,3,6,7}:{(73,1),(141,1),(142,1),(163,1),(227,1),(244,1),(315,1),(370,1)}
       104:{1,4,5,6,7}:{(75,1),(90,1),(133,1),(143,1),(233,1),(252,1),(301,1),(373,1)}
       105:{1,2,3,5,6}:{(73,1),(80,1),(141,1),(144,1),(148,1),(161,1),(232,1),(238,1),(242,1),(250,1),(315,1),(322,1)}
       106:{1,3,4,5,6}:{(74,1),(82,1),(91,1),(134,1),(145,1),(146,1),(167,1),(220,1),(236,1),(257,1),(306,1),(324,1),(371,1)}
       107:{1,2,4,6}:{(73,1),(76,1),(147,1),(148,1)}
       108:{2,5,6}:{(74,1),(78,1),(149,1),(150,1)}
       109:{1,3,5,7}:{(74,1),(75,1),(79,1),(93,1),(136,1),(150,1)}
       110:{1,3,4,7}:{(76,1),(94,1),(137,1),(147,1),(151,1),(157,1),(245,1),(326,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(87,1),(95,1),(138,1),(148,1),(151,1),(152,1),(158,1),(241,1),(243,1),(246,1),(251,1),(311,1),(326,1),(328,1),(366,1)}
       112:{1,4,6}:{(77,1),(78,1),(88,1),(149,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(89,1),(150,1),(153,1),(160,1)}
       114:{2,3,4,5}:{(81,1),(155,1),(156,1),(247,1),(256,1),(305,1),(321,1)}
       115:{1,2,4}:{(80,1),(157,1)}
       116:{1,4,5}:{(81,1),(84,1),(159,1)}
       117:{2,4,6}:{(81,1),(82,1),(85,1),(159,1),(160,1)}
       118:{1,3,4,7}:{(82,1),(86,1),(160,1),(326,1),(334,1),(365,1)}
       119:{1,2,5}:{(83,1),(84,1)}
       120:{1,3,5,6}:{(84,1),(85,1),(88,1),(149,1),(159,1),(161,1),(162,1),(250,1)}
       121:{2,3,5,7}:{(85,1),(86,1),(89,1),(150,1),(160,1),(162,1),(323,1),(329,1)}
       122:{1,2,6}:{(87,1),(88,1)}
       123:{1,3,6,7}:{(88,1),(89,1),(153,1),(162,1),(163,1)}
       124:{3,5,6,7}:{(90,1),(93,1),(164,1),(362,1),(387,1)}
       125:{2,4,5,6}:{(91,1),(92,1),(167,1),(168,1),(308,1)}
       126:{3,4,5,7}:{(91,1),(93,1),(164,1),(168,1),(365,1),(387,1)}
       127:{2,3,4,6}:{(94,1),(147,1),(169,1),(172,1),(259,1)}
       128:{1,3,5,6}:{(92,1),(96,1),(149,1),(167,1),(170,1),(171,1),(257,1),(388,1)}
       129:{2,3,5,7}:{(92,1),(93,1),(97,1),(150,1),(168,1),(171,1),(387,1),(390,1)}
       130:{2,3,5,7}:{(94,1),(95,1),(151,1),(169,1),(172,1),(247,1),(329,1)}
       131:{2,4,6}:{(95,1),(96,1),(170,1),(172,1)}
       132:{1,3,4,6,7}:{(96,1),(97,1),(153,1),(171,1),(173,1),(244,1),(249,1),(252,1),(313,1),(326,1),(331,1),(334,1),(389,1)}
       133:{2,4,5,6,7}:{(99,1),(104,1),(174,1),(187,1),(261,1),(295,1),(360,1)}
       134:{3,4,5,6}:{(98,1),(175,1),(176,1),(298,1),(358,1)}
       135:{2,3,5,6}:{(98,1),(101,1),(108,1),(175,1),(178,1),(179,1),(358,1),(383,1)}
       136:{3,5,7}:{(98,1),(99,1),(102,1)}
       137:{2,3,4,7}:{(110,1),(177,1),(180,1),(200,1),(341,1)}
       138:{2,4,5,7}:{(100,1),(180,1),(181,1),(201,1),(266,1),(268,1),(292,1),(341,1)}
       139:{1,3,4,6}:{(100,1),(101,1),(112,1),(178,1),(181,1),(197,1),(287,1),(339,1),(381,1)}
       140:{2,3,4,6,7}:{(101,1),(102,1),(113,1),(179,1),(182,1),(203,1),(216,1),(261,1),(272,1),(300,1),(359,1),(384,1)}
       141:{1,2,3,5,7}:{(103,1),(105,1),(183,1),(186,1),(207,1),(273,1),(288,1),(293,1),(355,1)}
       142:{1,2,4,6,7}:{(103,1),(107,1),(183,1),(185,1),(186,1),(270,1),(274,1),(343,1),(384,1)}
       143:{1,3,5,6,7}:{(104,1),(109,1),(124,1),(174,1),(184,1),(187,1),(385,1)}
       144:{1,2,4,6}:{(105,1),(115,1),(183,1),(190,1),(191,1),(287,1),(354,1)}
       145:{2,4,5,6}:{(106,1),(108,1),(117,1),(189,1),(192,1),(193,1),(282,1),(354,1),(383,1)}
       146:{1,3,4,5,7}:{(106,1),(109,1),(118,1),(126,1),(176,1),(184,1),(193,1),(212,1),(265,1),(283,1),(299,1),(340,1),(356,1),(385,1)}
       147:{1,3,4,6}:{(107,1),(110,1),(127,1),(177,1),(194,1),(197,1),(287,1)}
       148:{1,2,5}:{(107,1),(194,1)}
       149:{1,5,6}:{(108,1),(112,1),(196,1)}
       150:{2,5,7}:{(108,1),(109,1),(113,1),(196,1)}
       151:{1,3,5,7}:{(110,1),(111,1),(130,1),(180,1),(194,1),(197,1),(204,1),(289,1),(293,1),(357,1)}
       152:{1,2,4,6}:{(111,1),(112,1),(122,1),(131,1),(181,1),(195,1),(197,1),(287,1),(343,1),(381,1)}
       153:{1,4,6,7}:{(112,1),(113,1),(123,1),(196,1),(206,1)}
       154:{1,2,3,5}:{(188,1),(199,1),(280,1),(289,1)}
       155:{1,3,4,5}:{(114,1),(116,1),(201,1),(202,1),(204,1),(289,1),(351,1)}
       156:{2,3,4,6}:{(114,1),(117,1),(189,1),(202,1),(203,1),(291,1),(298,1),(339,1),(354,1)}
       157:{1,3,4}:{(115,1),(200,1),(204,1)}
       158:{1,2,4,5}:{(115,1),(116,1),(119,1),(201,1),(204,1),(205,1)}
       159:{1,4,6}:{(116,1),(117,1),(120,1),(206,1)}
       160:{2,4,7}:{(117,1),(118,1),(121,1),(206,1)}
       161:{1,2,5,6}:{(119,1),(120,1),(122,1),(205,1),(207,1),(282,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(123,1),(196,1),(206,1),(207,1),(293,1)}
       163:{1,2,6,7}:{(122,1),(123,1),(207,1),(346,1)}
       164:{3,4,6,7}:{(124,1),(126,1),(208,1)}
       165:{2,3,4,6,7}:{(127,1),(185,1),(209,1),(216,1),(271,1),(296,1),(300,1),(345,1),(359,1),(384,1)}
       166:{2,3,5,6,7}:{(124,1),(129,1),(187,1),(208,1),(210,1),(272,1)}
       167:{1,4,5,6}:{(125,1),(128,1),(211,1),(212,1),(287,1)}
       168:{2,4,5,7}:{(125,1),(126,1),(129,1),(208,1),(212,1),(341,1)}
       169:{2,3,5}:{(127,1),(194,1),(213,1)}
       170:{2,5,6}:{(128,1),(131,1),(215,1)}
       171:{1,3,5,7}:{(128,1),(129,1),(132,1),(196,1),(212,1),(215,1),(299,1),(391,1)}
       172:{2,3,6}:{(130,1),(131,1),(197,1)}
       173:{2,4,6,7}:{(131,1),(132,1),(215,1),(216,1),(292,1),(300,1),(346,1)}
       174:{3,5,6,7}:{(133,1),(136,1),(217,1),(331,1),(377,1)}
       175:{2,4,5,6}:{(134,1),(135,1),(220,1),(221,1),(259,1)}
       176:{3,4,5,7}:{(134,1),(136,1),(217,1),(221,1),(334,1),(377,1)}
       177:{2,3,4,6}:{(137,1),(147,1),(222,1),(225,1),(308,1)}
       178:{1,3,5,6}:{(135,1),(139,1),(149,1),(220,1),(223,1),(224,1),(306,1),(388,1)}
       179:{2,3,5,7}:{(135,1),(136,1),(140,1),(150,1),(221,1),(224,1),(377,1),(390,1)}
       180:{2,3,5,7}:{(137,1),(138,1),(151,1),(222,1),(225,1),(247,1),(329,1)}
       181:{2,4,6}:{(138,1),(139,1),(223,1),(225,1)}
       182:{1,3,4,6,7}:{(139,1),(140,1),(153,1),(224,1),(226,1),(244,1),(249,1),(301,1),(313,1),(326,1),(362,1),(365,1),(389,1)}
       183:{1,2,4,7}:{(141,1),(144,1),(228,1),(326,1),(376,1)}
       184:{1,3,4,6,7}:{(143,1),(146,1),(164,1),(217,1),(230,1),(252,1),(301,1),(313,1),(331,1),(362,1)}
       185:{1,3,4,6,7}:{(142,1),(147,1),(165,1),(218,1),(228,1),(231,1),(244,1),(310,1),(315,1),(317,1),(326,1),(367,1),(389,1)}
       186:{1,2,5,7}:{(142,1),(148,1),(231,1),(232,1),(390,1)}
       187:{2,5,6,7}:{(143,1),(150,1),(230,1),(233,1),(390,1)}
       188:{1,2,3,6}:{(154,1),(227,1),(234,1),(327,1)}
       189:{2,3,5,6}:{(145,1),(156,1),(236,1),(237,1),(257,1),(306,1)}
       190:{1,3,4,6}:{(144,1),(157,1),(228,1),(235,1),(238,1),(250,1),(315,1)}
       191:{1,2,4,5}:{(144,1),(148,1),(238,1),(241,1),(321,1)}
       192:{1,4,5,6}:{(145,1),(149,1),(159,1),(236,1),(240,1),(374,1),(388,1)}
       193:{2,4,5,7}:{(145,1),(146,1),(150,1),(160,1),(230,1),(237,1),(240,1),(323,1),(376,1),(390,1)}
       194:{1,3,5}:{(147,1),(148,1),(169,1),(222,1),(241,1)}
       195:{1,2,5,6}:{(148,1),(149,1),(152,1),(170,1),(223,1),(242,1),(243,1),(388,1)}
       196:{1,5,7}:{(149,1),(150,1),(153,1)}
       197:{1,3,6}:{(151,1),(152,1),(172,1),(225,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(163,1),(173,1),(226,1),(243,1),(244,1),(251,1),(326,1),(328,1),(368,1),(389,1)}
       199:{1,2,4}:{(154,1),(245,1)}
       200:{2,3,4}:{(157,1),(245,1),(247,1)}
       201:{2,4,5}:{(155,1),(247,1),(248,1)}
       202:{1,3,4,6}:{(155,1),(156,1),(159,1),(236,1),(248,1),(249,1),(250,1),(327,1),(374,1)}
       203:{2,3,4,7}:{(156,1),(160,1),(237,1),(249,1),(329,1),(334,1),(365,1),(376,1)}
       204:{1,3,5}:{(157,1),(158,1),(247,1),(250,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(161,1),(248,1),(250,1),(251,1)}
       206:{1,4,7}:{(159,1),(160,1),(162,1)}
       207:{1,2,5,7}:{(161,1),(162,1),(163,1),(251,1),(323,1)}
       208:{2,4,6,7}:{(164,1),(166,1),(168,1),(252,1)}
       209:{2,3,5,7}:{(165,1),(169,1),(231,1),(253,1),(254,1),(377,1),(390,1)}
       210:{1,3,5,6,7}:{(166,1),(171,1),(233,1),(252,1),(255,1),(313,1),(331,1)}
       211:{2,4,5,6}:{(167,1),(170,1),(257,1),(258,1),(259,1)}
       212:{1,4,5,7}:{(167,1),(168,1),(171,1),(252,1),(258,1),(326,1)}
       213:{2,4,5}:{(169,1),(241,1),(256,1),(259,1)}
       214:{2,3,5,6}:{(169,1),(170,1),(172,1),(242,1),(257,1),(259,1),(260,1)}
       215:{2,5,7}:{(170,1),(171,1),(173,1)}
       216:{2,3,6,7}:{(172,1),(173,1),(244,1),(260,1),(329,1),(331,1)}
       217:{3,4,6,7}:{(174,1),(176,1),(261,1)}
       218:{2,3,4,6,7}:{(177,1),(185,1),(262,1),(269,1),(271,1),(337,1),(341,1),(345,1),(379,1),(384,1)}
       219:{2,3,5,6,7}:{(174,1),(179,1),(187,1),(261,1),(263,1),(272,1)}
       220:{1,4,5,6}:{(175,1),(178,1),(264,1),(265,1),(287,1)}
       221:{2,4,5,7}:{(175,1),(176,1),(179,1),(261,1),(265,1),(300,1)}
       222:{2,3,5}:{(177,1),(194,1),(266,1)}
       223:{2,5,6}:{(178,1),(181,1),(268,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(182,1),(196,1),(265,1),(268,1),(340,1),(391,1)}
       225:{2,3,6}:{(180,1),(181,1),(197,1)}
       226:{2,4,6,7}:{(181,1),(182,1),(268,1),(269,1),(292,1),(341,1),(346,1)}
       227:{1,2,3,7}:{(188,1),(270,1),(357,1)}
       228:{1,3,4,7}:{(183,1),(190,1),(271,1),(273,1),(293,1)}
       229:{1,2,4,5,7}:{(183,1),(186,1),(191,1),(273,1),(274,1),(276,1),(344,1)}
       230:{2,4,6,7}:{(184,1),(187,1),(193,1),(272,1),(275,1),(346,1)}
       231:{1,3,5,7}:{(185,1),(186,1),(194,1),(209,1),(262,1),(276,1),(277,1),(391,1)}
       232:{1,2,5,6}:{(186,1),(274,1),(277,1),(343,1),(383,1)}
       233:{1,5,6,7}:{(187,1),(196,1),(275,1),(391,1)}
       234:{1,2,4,6}:{(188,1),(199,1),(270,1),(279,1),(280,1),(343,1)}
       235:{2,3,4,6}:{(190,1),(200,1),(271,1),(279,1),(281,1),(291,1),(345,1),(354,1)}
       236:{1,3,5,6}:{(189,1),(192,1),(202,1),(282,1),(283,1)}
       237:{2,3,5,7}:{(189,1),(193,1),(203,1),(272,1),(283,1),(299,1),(340,1)}
       238:{1,3,5}:{(190,1),(191,1),(281,1)}
       239:{1,2,4,5,6}:{(191,1),(192,1),(195,1),(205,1),(211,1),(264,1),(274,1),(282,1),(285,1),(286,1),(287,1),(349,1),(354,1),(383,1)}
       240:{1,4,5,7}:{(192,1),(193,1),(196,1),(206,1),(275,1),(283,1),(386,1),(391,1)}
       241:{1,4,5}:{(194,1),(213,1),(266,1),(287,1)}
       242:{1,3,5,6}:{(194,1),(195,1),(197,1),(214,1),(267,1),(287,1),(288,1)}
       243:{1,2,5,7}:{(195,1),(196,1),(198,1),(215,1),(268,1),(288,1),(391,1)}
       244:{1,3,6,7}:{(197,1),(198,1),(216,1),(269,1),(288,1),(293,1),(357,1)}
       245:{1,3,4}:{(199,1),(200,1),(289,1)}
       246:{1,2,4,5}:{(199,1),(201,1),(280,1),(289,1),(290,1),(351,1)}
       247:{2,3,5}:{(200,1),(201,1),(204,1),(289,1),(291,1)}
       248:{2,4,6}:{(201,1),(202,1),(282,1),(291,1),(292,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(206,1),(283,1),(292,1),(293,1),(357,1),(386,1)}
       250:{1,3,6}:{(204,1),(205,1),(291,1),(293,1)}
       251:{1,2,4,7}:{(205,1),(206,1),(207,1),(292,1),(293,1)}
       252:{1,4,6,7}:{(208,1),(210,1),(212,1),(295,1)}
       253:{2,4,5,7}:{(209,1),(213,1),(276,1),(294,1),(296,1),(300,1)}
       254:{2,3,5,6}:{(209,1),(277,1),(296,1),(345,1),(358,1),(383,1)}
       255:{2,5,6,7}:{(210,1),(215,1),(295,1),(346,1)}
       256:{3,4,5}:{(213,1),(298,1)}
       257:{3,5,6}:{(211,1),(298,1),(299,1)}
       258:{2,4,5,7}:{(211,1),(212,1),(215,1),(295,1),(299,1),(300,1)}
       259:{2,4,6}:{(213,1),(214,1),(287,1),(298,1),(300,1)}
       260:{2,3,5,7}:{(214,1),(215,1),(216,1),(288,1),(299,1),(300,1)}
       261:{2,4,6,7}:{(217,1),(219,1),(221,1),(301,1)}
       262:{2,3,5,7}:{(218,1),(222,1),(231,1),(302,1),(303,1),(387,1),(390,1)}
       263:{1,3,5,6,7}:{(219,1),(224,1),(233,1),(301,1),(304,1),(313,1),(362,1)}
       264:{2,4,5,6}:{(220,1),(223,1),(306,1),(307,1),(308,1)}
       265:{1,4,5,7}:{(220,1),(221,1),(224,1),(301,1),(307,1),(326,1)}
       266:{2,4,5}:{(222,1),(241,1),(305,1),(308,1)}
       267:{2,3,5,6}:{(222,1),(223,1),(225,1),(242,1),(306,1),(308,1),(309,1)}
       268:{2,5,7}:{(223,1),(224,1),(226,1)}
       269:{2,3,6,7}:{(225,1),(226,1),(244,1),(309,1),(329,1),(362,1)}
       270:{1,2,4,7}:{(227,1),(234,1),(310,1),(311,1)}
       271:{2,3,4,7}:{(228,1),(235,1),(310,1),(312,1),(329,1),(376,1)}
       272:{2,3,6,7}:{(230,1),(237,1),(313,1),(331,1),(362,1)}
       273:{1,3,5,7}:{(228,1),(229,1),(238,1),(312,1),(315,1)}
       274:{1,2,4,6}:{(229,1),(232,1),(315,1),(317,1),(369,1)}
       275:{1,4,6,7}:{(230,1),(233,1),(240,1),(313,1)}
       276:{1,4,5,7}:{(231,1),(241,1),(253,1),(302,1),(317,1),(326,1)}
       277:{1,3,5,6}:{(231,1),(232,1),(254,1),(303,1),(315,1),(317,1),(367,1),(388,1)}
       278:{1,2,5,6,7}:{(232,1),(233,1),(243,1),(255,1),(304,1),(316,1),(318,1),(368,1),(390,1)}
       279:{1,3,4,6}:{(234,1),(235,1),(245,1),(310,1),(319,1),(327,1),(367,1),(374,1)}
       280:{1,2,5}:{(234,1),(319,1)}
       281:{2,3,5}:{(235,1),(238,1),(319,1),(321,1)}
       282:{2,5,6}:{(236,1),(248,1),(323,1)}
       283:{1,3,5,7}:{(236,1),(237,1),(240,1),(249,1),(313,1),(323,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(256,1),(305,1),(321,1),(324,1)}
       285:{1,3,5,6}:{(238,1),(239,1),(250,1),(257,1),(306,1),(315,1),(322,1),(324,1),(325,1)}
       286:{1,2,4,5,7}:{(239,1),(240,1),(243,1),(251,1),(258,1),(307,1),(316,1),(323,1),(325,1),(326,1),(373,1),(376,1),(390,1)}
       287:{1,4,6}:{(241,1),(242,1),(259,1),(308,1),(326,1)}
       288:{1,3,5,7}:{(242,1),(243,1),(244,1),(260,1),(309,1),(326,1)}
       289:{1,3,5}:{(245,1),(246,1),(247,1),(327,1)}
       290:{1,2,4,6}:{(246,1),(248,1),(320,1),(327,1),(328,1),(374,1)}
       291:{2,3,6}:{(247,1),(248,1),(250,1),(327,1),(329,1)}
       292:{2,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       293:{1,3,7}:{(250,1),(251,1),(329,1)}
       294:{3,4,5,7}:{(253,1),(256,1),(330,1),(334,1),(377,1)}
       295:{2,4,6,7}:{(252,1),(255,1),(258,1),(331,1)}
       296:{2,4,6}:{(253,1),(254,1),(317,1),(330,1)}
       297:{2,3,5,6,7}:{(254,1),(255,1),(260,1),(318,1),(331,1),(333,1),(370,1),(377,1),(390,1)}
       298:{3,4,6}:{(256,1),(257,1),(259,1),(334,1)}
       299:{3,5,7}:{(257,1),(258,1),(331,1),(334,1)}
       300:{2,4,7}:{(259,1),(260,1),(326,1),(334,1)}
       301:{1,4,6,7}:{(261,1),(263,1),(265,1),(336,1)}
       302:{2,4,5,7}:{(262,1),(266,1),(276,1),(335,1),(337,1),(341,1)}
       303:{2,3,5,6}:{(262,1),(277,1),(337,1),(345,1),(378,1),(383,1)}
       304:{2,5,6,7}:{(263,1),(268,1),(336,1),(346,1)}
       305:{3,4,5}:{(266,1),(339,1)}
       306:{3,5,6}:{(264,1),(339,1),(340,1)}
       307:{2,4,5,7}:{(264,1),(265,1),(268,1),(336,1),(340,1),(341,1)}
       308:{2,4,6}:{(266,1),(267,1),(287,1),(339,1),(341,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(269,1),(288,1),(340,1),(341,1)}
       310:{1,3,4,7}:{(270,1),(271,1),(279,1),(342,1),(357,1),(386,1)}
       311:{1,2,5,7}:{(270,1),(280,1),(342,1),(343,1)}
       312:{2,3,5,7}:{(271,1),(273,1),(281,1),(342,1),(344,1),(345,1)}
       313:{1,3,6,7}:{(272,1),(275,1),(283,1),(346,1)}
       314:{1,3,4,5,7}:{(273,1),(276,1),(284,1),(294,1),(335,1),(344,1),(347,1),(356,1),(385,1)}
       315:{1,3,6}:{(273,1),(274,1),(345,1)}
       316:{1,2,4,6,7}:{(274,1),(275,1),(278,1),(286,1),(295,1),(336,1),(346,1),(348,1),(350,1),(384,1)}
       317:{1,4,6}:{(276,1),(277,1),(296,1),(337,1)}
       318:{1,3,5,6,7}:{(277,1),(278,1),(288,1),(297,1),(338,1),(348,1),(350,1),(382,1),(385,1),(391,1)}
       319:{1,3,5}:{(279,1),(280,1),(281,1),(351,1)}
       320:{1,2,5,6}:{(280,1),(282,1),(290,1),(343,1),(352,1),(353,1)}
       321:{2,4,5}:{(281,1),(284,1),(351,1),(354,1)}
       322:{2,3,5,6}:{(281,1),(282,1),(285,1),(291,1),(345,1),(352,1),(354,1),(355,1),(383,1)}
       323:{2,5,7}:{(282,1),(283,1),(292,1),(346,1)}
       324:{1,3,4,6}:{(284,1),(285,1),(287,1),(298,1),(339,1),(354,1),(356,1)}
       325:{1,3,5,7}:{(285,1),(286,1),(293,1),(299,1),(340,1),(348,1),(355,1),(356,1)}
       326:{1,4,7}:{(287,1),(288,1),(300,1),(341,1)}
       327:{1,3,6}:{(289,1),(290,1),(291,1),(357,1)}
       328:{1,2,4,7}:{(290,1),(292,1),(353,1),(357,1),(386,1)}
       329:{2,3,7}:{(291,1),(292,1),(293,1),(357,1)}
       330:{3,4,6}:{(294,1),(296,1),(358,1)}
       331:{3,6,7}:{(295,1),(299,1)}
       332:{2,4,5,6}:{(296,1),(349,1),(358,1),(360,1),(383,1)}
       333:{2,4,6,7}:{(296,1),(297,1),(300,1),(350,1),(359,1),(360,1)}
       334:{3,4,7}:{(298,1),(299,1),(300,1)}
       335:{3,4,5,7}:{(302,1),(305,1),(361,1),(365,1),(387,1)}
       336:{2,4,6,7}:{(301,1),(304,1),(307,1),(362,1)}
       337:{2,4,6}:{(302,1),(303,1),(317,1),(361,1)}
       338:{2,3,5,6,7}:{(303,1),(304,1),(309,1),(318,1),(362,1),(364,1),(370,1),(387,1),(390,1)}
       339:{3,4,6}:{(305,1),(306,1),(308,1),(365,1)}
       340:{3,5,7}:{(306,1),(307,1),(362,1),(365,1)}
       341:{2,4,7}:{(308,1),(309,1),(326,1),(365,1)}
       342:{1,3,5,7}:{(310,1),(311,1),(312,1),(319,1),(366,1),(367,1)}
       343:{1,2,6}:{(311,1),(367,1)}
       344:{2,4,5,7}:{(312,1),(314,1),(321,1),(366,1),(369,1),(376,1),(390,1)}
       345:{2,3,6}:{(312,1),(315,1),(367,1),(369,1)}
       346:{2,6,7}:{(313,1),(323,1)}
       347:{1,3,4,6}:{(314,1),(315,1),(317,1),(330,1),(361,1),(369,1),(371,1)}
       348:{1,3,6,7}:{(315,1),(316,1),(325,1),(331,1),(362,1),(370,1)}
       349:{1,4,5,6}:{(317,1),(332,1),(363,1),(371,1),(373,1),(388,1)}
       350:{1,4,6,7}:{(317,1),(318,1),(326,1),(333,1),(364,1),(373,1)}
       351:{1,4,5}:{(319,1),(321,1),(374,1)}
       352:{1,3,5,6}:{(319,1),(320,1),(322,1),(327,1),(367,1),(374,1),(375,1),(388,1)}
       353:{1,2,5,7}:{(320,1),(323,1),(328,1),(368,1),(375,1)}
       354:{2,4,6}:{(321,1),(322,1),(324,1),(374,1),(376,1)}
       355:{2,3,5,7}:{(322,1),(323,1),(325,1),(329,1),(370,1),(375,1),(376,1),(390,1)}
       356:{1,3,4,7}:{(324,1),(325,1),(326,1),(334,1),(365,1),(376,1)}
       357:{1,3,7}:{(327,1),(328,1),(329,1)}
       358:{3,5,6}:{(330,1),(332,1),(377,1)}
       359:{3,4,6,7}:{(330,1),(331,1),(333,1),(334,1),(377,1)}
       360:{2,4,5,7}:{(332,1),(333,1),(373,1),(377,1),(390,1)}
       361:{3,4,6}:{(335,1),(337,1),(378,1)}
       362:{3,6,7}:{(336,1),(340,1)}
       363:{2,4,5,6}:{(337,1),(349,1),(378,1),(380,1),(383,1)}
       364:{2,4,6,7}:{(337,1),(338,1),(341,1),(350,1),(379,1),(380,1)}
       365:{3,4,7}:{(339,1),(340,1),(341,1)}
       366:{1,4,5,7}:{(342,1),(344,1),(351,1),(381,1),(386,1),(391,1)}
       367:{1,3,6}:{(342,1),(343,1),(345,1),(381,1)}
       368:{1,2,6,7}:{(343,1),(346,1),(353,1),(382,1)}
       369:{2,4,6}:{(344,1),(345,1),(347,1),(381,1),(383,1)}
       370:{2,3,6,7}:{(345,1),(346,1),(348,1),(355,1),(382,1),(384,1)}
       371:{1,3,5,6}:{(347,1),(349,1),(358,1),(378,1),(383,1),(385,1)}
       372:{1,3,4,6,7}:{(347,1),(348,1),(350,1),(356,1),(359,1),(379,1),(384,1),(385,1)}
       373:{1,4,5,7}:{(349,1),(350,1),(360,1),(380,1),(385,1),(391,1)}
       374:{1,4,6}:{(351,1),(352,1),(354,1),(386,1)}
       375:{1,3,5,7}:{(352,1),(353,1),(355,1),(357,1),(382,1),(386,1),(391,1)}
       376:{2,4,7}:{(354,1),(355,1),(356,1),(386,1)}
       377:{3,5,7}:{(358,1),(359,1),(360,1)}
       378:{3,5,6}:{(361,1),(363,1),(387,1)}
       379:{3,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(387,1)}
       380:{2,4,5,7}:{(363,1),(364,1),(373,1),(387,1),(390,1)}
       381:{1,4,6}:{(366,1),(367,1),(369,1),(388,1)}
       382:{1,3,6,7}:{(367,1),(368,1),(370,1),(375,1),(389,1)}
       383:{2,5,6}:{(369,1),(371,1),(388,1),(390,1)}
       384:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(389,1),(390,1)}
       385:{1,3,5,7}:{(371,1),(372,1),(373,1),(377,1),(387,1),(390,1)}
       386:{1,4,7}:{(374,1),(375,1),(376,1)}
       387:{3,5,7}:{(378,1),(379,1),(380,1)}
       388:{1,5,6}:{(381,1),(383,1),(391,1)}
       389:{1,4,6,7}:{(381,1),(382,1),(384,1),(386,1),(391,1)}
       390:{2,5,7}:{(383,1),(384,1),(385,1),(391,1)}
       391:{1,5,7}:{(388,1),(389,1),(390,1)}

1906 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1907 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

1908 :   0:{1,2,3,6,7}:{(2,1),(3,1),(52,1),(111,1),(174,1),(275,1),(360,1),(366,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(51,1),(52,1),(170,1),(256,1),(261,1),(275,1),(371,1),(381,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(32,1),(130,1),(145,1),(219,1),(330,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(33,1),(78,1),(309,1),(314,1),(413,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(72,1),(221,1),(418,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(90,1),(117,1),(165,1),(202,1),(299,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(19,1),(46,1),(52,1),(94,1),(168,1),(259,1),(366,1),(372,1),(453,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(16,1),(191,1),(381,1)}
         8:{1,2,4,5}:{(4,1),(18,1),(48,1),(381,1),(459,1)}
         9:{1,2,4,7}:{(3,1),(4,1),(19,1),(105,1),(453,1)}
        10:{1,3,4,6}:{(4,1),(18,1),(19,1),(20,1),(52,1),(261,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(24,1),(60,1),(83,1),(155,1),(206,1),(254,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(61,1),(214,1),(351,1),(486,1),(494,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(35,1),(64,1),(66,1),(80,1),(125,1),(133,1),(145,1),(206,1),(341,1),(346,1),(436,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(312,1),(419,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(32,1),(72,1),(73,1),(143,1),(148,1),(207,1),(229,1),(318,1),(344,1),(418,1)}
        16:{1,2,5,6}:{(7,1),(26,1),(32,1),(148,1),(219,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(32,1),(33,1),(75,1)}
        18:{1,3,5}:{(8,1),(10,1),(34,1)}
        19:{1,3,4,7}:{(9,1),(10,1),(33,1),(35,1),(314,1)}
        20:{2,3,4,6}:{(10,1),(34,1),(35,1),(36,1),(72,1),(80,1),(234,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(55,1),(86,1),(90,1),(114,1),(192,1),(299,1),(303,1),(400,1)}
        22:{1,2,5,7}:{(11,1),(37,1),(38,1),(258,1),(306,1)}
        23:{1,2,3,5,6}:{(12,1),(38,1),(40,1),(90,1),(92,1),(167,1),(202,1),(302,1),(306,1),(456,1),(465,1),(468,1)}
        24:{1,2,4,7}:{(12,1),(40,1),(41,1),(267,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(178,1),(191,1),(258,1),(396,1)}
        26:{1,3,5,6}:{(14,1),(16,1),(42,1),(46,1),(52,1),(168,1),(263,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(46,1),(453,1),(459,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(48,1),(459,1),(477,1)}
        29:{1,2,5,6,7}:{(16,1),(44,1),(49,1),(191,1),(269,1),(294,1),(365,1),(386,1)}
        30:{1,2,4,5,7}:{(15,1),(49,1),(50,1),(103,1),(105,1),(189,1),(191,1),(260,1),(283,1),(365,1),(390,1),(453,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(45,1),(50,1),(51,1),(52,1),(261,1),(394,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(46,1),(52,1),(108,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(19,1),(52,1),(53,1)}
        34:{2,3,5}:{(18,1),(20,1),(48,1),(54,1)}
        35:{2,3,4,7}:{(19,1),(20,1),(53,1),(55,1),(105,1),(288,1)}
        36:{1,3,4,6}:{(20,1),(54,1),(55,1),(56,1),(106,1),(114,1),(194,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(25,1),(57,1),(58,1),(244,1),(355,1)}
        38:{1,2,5,6}:{(22,1),(57,1),(60,1),(155,1),(209,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(58,1),(60,1),(61,1),(62,1),(121,1)}
        40:{1,2,4,6}:{(23,1),(24,1),(62,1),(63,1),(217,1),(354,1),(501,1)}
        41:{1,3,4,7}:{(24,1),(61,1),(63,1),(64,1),(494,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(80,1),(125,1),(136,1),(148,1),(209,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(436,1),(440,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(70,1),(77,1),(144,1),(215,1),(312,1),(413,1)}
        45:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(418,1),(439,1)}
        46:{1,4,6}:{(26,1),(27,1),(66,1)}
        47:{1,3,4,5,7}:{(27,1),(28,1),(33,1),(67,1),(71,1),(74,1),(75,1),(144,1)}
        48:{2,4,5}:{(28,1),(34,1),(72,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(32,1),(70,1),(77,1),(145,1),(241,1),(336,1),(431,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(71,1),(77,1),(78,1),(314,1),(435,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(80,1),(148,1),(229,1),(234,1)}
        52:{1,3,6}:{(32,1),(33,1),(80,1)}
        53:{2,3,5,7}:{(33,1),(34,1),(35,1),(75,1),(80,1),(81,1)}
        54:{1,3,5}:{(34,1),(36,1),(76,1),(82,1)}
        55:{1,3,4,7}:{(35,1),(36,1),(81,1),(83,1),(146,1),(246,1)}
        56:{1,2,4,6}:{(36,1),(82,1),(83,1),(84,1),(155,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(42,1),(86,1),(90,1),(114,1),(195,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(403,1)}
        59:{1,2,5,6,7}:{(38,1),(85,1),(88,1),(199,1),(258,1),(298,1),(359,1),(386,1)}
        60:{1,2,4,6}:{(38,1),(39,1),(86,1),(90,1),(161,1)}
        61:{1,3,5,7}:{(39,1),(41,1),(90,1),(91,1),(92,1)}
        62:{1,2,4,5}:{(40,1),(92,1),(171,1),(306,1),(403,1)}
        63:{1,3,4,6}:{(40,1),(41,1),(90,1),(92,1),(93,1),(465,1),(469,1)}
        64:{2,3,4,7}:{(41,1),(91,1),(93,1),(94,1),(267,1),(461,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(95,1),(111,1),(165,1),(178,1),(191,1),(258,1),(386,1),(391,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(46,1),(86,1),(98,1)}
        67:{3,4,5,7}:{(43,1),(98,1),(178,1),(474,1),(477,1)}
        68:{2,3,4,5}:{(48,1),(96,1),(100,1),(186,1),(389,1),(477,1)}
        69:{1,3,4,5,6}:{(45,1),(101,1),(102,1),(107,1),(177,1),(182,1),(290,1),(297,1),(394,1),(479,1)}
        70:{1,4,6,7}:{(44,1),(46,1),(95,1),(103,1),(453,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(105,1),(453,1),(474,1)}
        72:{2,4,6}:{(45,1),(48,1),(51,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(97,1),(103,1),(107,1),(263,1)}
        74:{1,3,4,6}:{(46,1),(47,1),(52,1),(98,1),(107,1),(108,1)}
        75:{2,4,5,7}:{(47,1),(48,1),(53,1),(105,1),(108,1),(109,1),(191,1)}
        76:{1,4,5}:{(48,1),(54,1),(106,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(52,1),(111,1),(470,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(105,1),(111,1),(112,1),(191,1),(283,1),(288,1)}
        79:{1,3,5,6}:{(51,1),(54,1),(106,1),(112,1),(113,1),(114,1),(194,1),(195,1)}
        80:{2,3,6}:{(52,1),(53,1),(108,1),(114,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(55,1),(109,1),(114,1),(115,1)}
        82:{1,2,5}:{(54,1),(56,1)}
        83:{1,2,4,7}:{(55,1),(56,1),(115,1),(117,1)}
        84:{1,2,3,6}:{(56,1),(116,1),(117,1),(194,1)}
        85:{1,3,5,6,7}:{(57,1),(59,1),(65,1),(118,1),(123,1),(152,1),(205,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(61,1),(67,1),(120,1),(121,1),(127,1),(205,1),(213,1)}
        88:{1,2,4,6,7}:{(59,1),(60,1),(118,1),(122,1),(123,1),(206,1),(406,1),(431,1),(481,1)}
        89:{1,2,4,5,6}:{(60,1),(62,1),(119,1),(122,1),(124,1),(209,1),(217,1),(248,1),(317,1),(344,1),(354,1),(416,1),(425,1)}
        90:{1,3,6}:{(60,1),(61,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(64,1),(121,1),(125,1),(126,1),(128,1)}
        92:{1,3,5}:{(62,1),(63,1),(128,1)}
        93:{2,3,4,6}:{(63,1),(64,1),(125,1),(128,1),(129,1),(217,1),(426,1),(430,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(322,1),(421,1)}
        95:{2,4,6,7}:{(65,1),(66,1),(70,1),(118,1),(132,1),(133,1),(436,1)}
        96:{2,3,4,6}:{(68,1),(72,1),(131,1),(134,1),(135,1),(234,1),(338,1),(439,1)}
        97:{2,4,5,6}:{(66,1),(73,1),(119,1),(132,1),(136,1),(148,1),(209,1)}
        98:{3,4,6}:{(66,1),(67,1),(136,1)}
        99:{2,3,4,5,7}:{(67,1),(68,1),(75,1),(121,1),(134,1),(137,1),(138,1),(222,1),(231,1),(238,1),(321,1),(434,1),(436,1),(440,1),(505,1),(533,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(135,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(71,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(131,1),(142,1),(143,1),(148,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(73,1),(132,1),(144,1),(312,1)}
       104:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(77,1),(133,1),(144,1),(145,1)}
       105:{2,4,7}:{(71,1),(72,1),(78,1),(146,1)}
       106:{1,4,6}:{(72,1),(76,1),(79,1),(146,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(136,1),(144,1),(148,1)}
       108:{2,4,6}:{(74,1),(75,1),(80,1),(148,1),(149,1)}
       109:{1,4,5,7}:{(75,1),(76,1),(81,1),(146,1),(149,1),(244,1)}
       110:{1,2,4,5}:{(76,1),(82,1),(139,1),(147,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(80,1),(145,1),(152,1),(336,1)}
       112:{1,3,5,7}:{(78,1),(79,1),(146,1),(152,1),(153,1),(244,1),(246,1)}
       113:{1,2,5,6}:{(79,1),(82,1),(147,1),(153,1),(155,1),(229,1)}
       114:{1,3,6}:{(80,1),(81,1),(149,1),(155,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(83,1),(155,1)}
       116:{1,2,3,5}:{(82,1),(84,1),(151,1),(157,1)}
       117:{1,2,3,7}:{(83,1),(84,1),(246,1)}
       118:{1,4,6,7}:{(85,1),(86,1),(95,1),(158,1),(400,1)}
       119:{1,4,5,6}:{(86,1),(97,1),(158,1),(160,1),(195,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(90,1),(98,1),(160,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(91,1),(161,1),(162,1),(171,1),(258,1),(267,1)}
       122:{1,2,4,5,7}:{(88,1),(89,1),(158,1),(164,1),(258,1),(267,1),(298,1),(364,1),(390,1),(400,1),(451,1),(460,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(164,1),(165,1),(470,1)}
       124:{1,3,5,6}:{(89,1),(90,1),(92,1),(164,1),(166,1),(167,1),(394,1),(465,1)}
       125:{2,3,6}:{(90,1),(91,1),(161,1),(168,1)}
       126:{1,3,5,7}:{(91,1),(94,1),(162,1),(168,1),(169,1),(172,1)}
       127:{1,3,4,5}:{(92,1),(166,1),(171,1),(403,1),(477,1)}
       128:{2,3,5}:{(92,1),(93,1),(171,1),(172,1)}
       129:{1,3,4,6}:{(93,1),(94,1),(168,1),(172,1),(173,1),(273,1),(379,1),(384,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(173,1),(174,1)}
       131:{2,3,5,6}:{(96,1),(102,1),(176,1),(177,1),(394,1)}
       132:{2,4,5,7}:{(95,1),(97,1),(103,1),(158,1),(178,1),(191,1),(258,1)}
       133:{3,4,6,7}:{(95,1),(98,1),(178,1),(470,1),(474,1)}
       134:{2,3,4,7}:{(96,1),(105,1),(176,1),(180,1),(288,1),(388,1),(474,1)}
       135:{1,3,4,6}:{(96,1),(100,1),(106,1),(177,1),(180,1),(181,1),(194,1),(261,1),(362,1)}
       136:{3,5,6}:{(97,1),(98,1),(178,1)}
       137:{2,3,4,6}:{(98,1),(99,1),(108,1),(161,1),(183,1),(184,1),(292,1),(395,1),(473,1),(527,1),(545,1)}
       138:{1,3,4,5,7}:{(99,1),(100,1),(109,1),(162,1),(180,1),(184,1),(185,1),(197,1),(265,1),(277,1),(286,1),(373,1),(400,1),(403,1),(450,1),(453,1),(459,1),(474,1),(477,1),(544,1)}
       139:{2,4,5}:{(100,1),(181,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(105,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(106,1),(177,1),(189,1),(195,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(107,1),(178,1),(191,1)}
       145:{2,4,6,7}:{(104,1),(105,1),(108,1),(111,1),(191,1),(192,1)}
       146:{1,4,7}:{(105,1),(106,1),(112,1)}
       147:{1,2,4,6}:{(106,1),(110,1),(113,1),(181,1),(193,1),(194,1)}
       148:{2,5,6}:{(107,1),(108,1),(191,1),(195,1)}
       149:{1,4,6}:{(108,1),(109,1),(114,1),(195,1)}
       150:{1,2,4,5,7}:{(109,1),(110,1),(115,1),(185,1),(193,1),(196,1),(197,1),(203,1),(298,1),(306,1),(382,1),(400,1),(403,1),(460,1),(544,1),(546,1)}
       151:{1,3,5}:{(110,1),(186,1),(194,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(114,1),(192,1),(199,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(193,1),(199,1),(283,1)}
       154:{1,2,3,5,6}:{(113,1),(116,1),(194,1),(200,1),(201,1),(202,1),(284,1),(301,1),(302,1),(306,1),(402,1),(404,1)}
       155:{1,2,6}:{(114,1),(115,1)}
       156:{1,2,3,5,7}:{(115,1),(116,1),(117,1),(197,1),(202,1),(203,1),(306,1),(468,1),(519,1),(546,1)}
       157:{1,2,4}:{(116,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(205,1),(244,1)}
       159:{1,3,4,6,7}:{(118,1),(120,1),(123,1),(133,1),(205,1),(206,1),(213,1)}
       160:{1,3,5,6}:{(119,1),(120,1),(136,1),(205,1),(209,1)}
       161:{2,4,6}:{(120,1),(121,1),(125,1),(209,1),(210,1)}
       162:{1,4,5,7}:{(121,1),(126,1),(210,1),(223,1),(312,1),(322,1)}
       163:{1,2,4,5}:{(139,1),(207,1),(212,1),(221,1),(326,1),(410,1)}
       164:{1,3,5,7}:{(122,1),(123,1),(124,1),(213,1),(214,1),(435,1),(494,1)}
       165:{2,3,6,7}:{(123,1),(125,1),(206,1),(214,1),(215,1),(481,1)}
       166:{1,3,4,6}:{(124,1),(127,1),(213,1),(217,1),(354,1),(439,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(209,1),(214,1),(217,1),(218,1),(416,1),(426,1)}
       168:{1,3,6}:{(125,1),(126,1),(210,1),(219,1)}
       169:{1,2,5,7}:{(126,1),(130,1),(219,1),(224,1)}
       170:{1,2,3,5}:{(212,1),(216,1),(221,1),(326,1)}
       171:{2,4,5}:{(127,1),(128,1),(217,1),(223,1)}
       172:{1,3,5}:{(128,1),(129,1),(223,1),(224,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(219,1),(224,1),(225,1),(333,1)}
       174:{1,2,3,7}:{(130,1),(225,1),(421,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(134,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(135,1),(143,1),(228,1),(229,1)}
       178:{3,5,7}:{(132,1),(133,1),(136,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(145,1),(206,1),(227,1),(231,1),(232,1),(321,1),(334,1),(341,1),(405,1),(433,1),(436,1),(502,1),(529,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(146,1),(228,1),(233,1),(246,1),(314,1),(409,1)}
       181:{2,4,6}:{(135,1),(139,1),(229,1),(233,1),(234,1)}
       182:{3,4,5,6}:{(136,1),(230,1),(235,1),(439,1),(540,1)}
       183:{2,3,5,6}:{(136,1),(137,1),(148,1),(209,1),(231,1),(235,1),(236,1),(504,1),(540,1),(549,1)}
       184:{1,3,4,6}:{(137,1),(138,1),(149,1),(210,1),(236,1),(237,1),(249,1),(319,1),(354,1),(418,1),(439,1),(485,1),(550,1)}
       185:{2,4,5,7}:{(138,1),(139,1),(233,1),(237,1),(238,1),(331,1),(340,1),(420,1),(436,1),(440,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(234,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(146,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(147,1),(229,1),(242,1),(243,1),(248,1),(253,1),(338,1),(344,1),(354,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(148,1),(244,1)}
       192:{1,4,6,7}:{(145,1),(146,1),(149,1),(152,1),(244,1)}
       193:{1,2,4,7}:{(146,1),(147,1),(153,1),(233,1),(246,1)}
       194:{1,3,6}:{(147,1),(151,1),(234,1),(246,1)}
       195:{1,5,6}:{(148,1),(149,1),(244,1)}
       196:{1,2,4,6}:{(149,1),(150,1),(155,1),(237,1),(248,1),(249,1),(354,1),(550,1),(551,1)}
       197:{1,3,5,7}:{(150,1),(151,1),(238,1),(246,1),(249,1),(250,1),(355,1),(429,1),(494,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,5,7}:{(153,1),(154,1),(246,1),(251,1),(252,1),(337,1),(351,1),(353,1),(356,1)}
       201:{1,2,4,6}:{(154,1),(157,1),(247,1),(252,1),(253,1),(338,1),(354,1)}
       202:{1,2,3,6}:{(155,1),(156,1),(249,1),(254,1),(551,1)}
       203:{1,2,4,7}:{(156,1),(157,1),(250,1),(254,1),(501,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,5,7}:{(158,1),(159,1),(160,1),(178,1),(258,1)}
       206:{2,4,6,7}:{(159,1),(161,1),(165,1),(258,1),(259,1),(267,1)}
       207:{1,2,4,6}:{(163,1),(181,1),(256,1),(260,1),(261,1),(362,1)}
       208:{1,3,4,5,6}:{(160,1),(166,1),(182,1),(257,1),(262,1),(290,1),(369,1),(394,1),(458,1),(543,1)}
       209:{2,5,6}:{(160,1),(161,1),(258,1),(263,1)}
       210:{1,4,6}:{(161,1),(162,1),(168,1),(263,1)}
       211:{1,2,4,5,7}:{(162,1),(163,1),(169,1),(185,1),(260,1),(264,1),(265,1),(276,1),(278,1),(365,1),(374,1),(377,1),(381,1),(450,1),(453,1),(459,1)}
       212:{1,3,5}:{(163,1),(186,1),(261,1),(266,1)}
       213:{1,3,4,7}:{(164,1),(166,1),(267,1),(400,1),(474,1)}
       214:{2,3,5,7}:{(164,1),(165,1),(167,1),(258,1),(267,1),(268,1),(451,1),(461,1)}
       215:{1,3,6,7}:{(165,1),(168,1),(259,1),(268,1),(269,1)}
       216:{1,2,3,6}:{(170,1),(261,1),(270,1),(271,1)}
       217:{2,4,6}:{(166,1),(167,1),(171,1),(267,1),(273,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(172,1),(263,1),(268,1),(273,1),(274,1),(379,1)}
       219:{1,2,6}:{(168,1),(169,1)}
       220:{1,2,3,5,7}:{(169,1),(170,1),(174,1),(265,1),(270,1),(275,1),(276,1),(279,1),(377,1),(381,1)}
       221:{1,2,4}:{(170,1),(266,1)}
       222:{2,3,4,5}:{(171,1),(272,1),(277,1),(383,1),(477,1),(518,1)}
       223:{1,4,5}:{(171,1),(172,1),(273,1)}
       224:{1,2,5}:{(172,1),(173,1)}
       225:{1,2,3,6}:{(173,1),(174,1),(279,1),(379,1)}
       226:{3,5,6,7}:{(175,1),(178,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(180,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(181,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(182,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,3,5,7}:{(178,1),(179,1),(183,1),(191,1),(258,1),(285,1),(286,1),(472,1),(525,1),(542,1)}
       232:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(192,1),(259,1),(282,1),(286,1),(287,1),(299,1),(366,1),(373,1),(385,1),(400,1),(446,1),(449,1),(453,1),(470,1),(474,1),(541,1)}
       233:{2,4,7}:{(180,1),(181,1),(283,1),(288,1)}
       234:{2,3,6}:{(181,1),(186,1),(194,1),(261,1),(288,1)}
       235:{2,4,5,6}:{(182,1),(183,1),(285,1),(290,1),(395,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(195,1),(263,1),(286,1),(290,1),(291,1),(394,1),(512,1),(552,1)}
       237:{2,4,6}:{(184,1),(185,1),(291,1),(292,1)}
       238:{2,3,5,7}:{(185,1),(186,1),(197,1),(265,1),(288,1),(292,1),(293,1),(383,1),(396,1),(461,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(193,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(194,1),(284,1),(296,1),(297,1),(301,1),(394,1),(402,1)}
       244:{1,5,7}:{(191,1),(192,1),(195,1)}
       245:{1,2,4,6,7}:{(192,1),(193,1),(196,1),(199,1),(287,1),(298,1),(299,1),(400,1),(460,1),(508,1),(541,1)}
       246:{1,3,7}:{(193,1),(194,1),(288,1)}
       247:{1,3,4,6}:{(194,1),(198,1),(201,1),(289,1),(300,1),(301,1),(402,1)}
       248:{1,2,5,6}:{(195,1),(196,1),(291,1),(298,1),(302,1),(306,1),(552,1)}
       249:{1,3,6}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,7}:{(197,1),(198,1),(203,1),(293,1),(303,1),(400,1),(469,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(299,1),(304,1),(387,1),(402,1),(519,1)}
       252:{1,2,4,7}:{(200,1),(201,1),(300,1),(388,1),(400,1)}
       253:{1,2,4,5}:{(201,1),(301,1),(306,1),(389,1),(403,1)}
       254:{1,2,4,6}:{(202,1),(203,1),(303,1),(306,1)}
       255:{1,3,5,6,7}:{(204,1),(205,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(207,1),(229,1),(309,1),(310,1),(326,1),(424,1)}
       257:{1,3,4,5,7}:{(205,1),(208,1),(213,1),(230,1),(307,1),(311,1),(339,1),(411,1),(435,1),(488,1),(530,1)}
       258:{2,5,7}:{(205,1),(206,1),(209,1),(312,1)}
       259:{1,4,6,7}:{(206,1),(210,1),(215,1),(312,1),(322,1)}
       260:{1,2,4,7}:{(207,1),(233,1),(309,1),(314,1),(409,1)}
       261:{1,3,6}:{(207,1),(212,1),(234,1),(314,1)}
       262:{2,4,5,6}:{(208,1),(209,1),(217,1),(311,1),(316,1),(317,1),(416,1),(492,1),(549,1)}
       263:{1,5,6}:{(209,1),(210,1),(312,1)}
       264:{1,2,4,6}:{(210,1),(211,1),(219,1),(237,1),(318,1),(319,1),(418,1),(424,1),(485,1)}
       265:{1,3,5,7}:{(211,1),(212,1),(238,1),(314,1),(319,1),(320,1),(332,1),(419,1),(421,1)}
       266:{1,3,4}:{(212,1),(221,1),(239,1)}
       267:{2,4,7}:{(213,1),(214,1),(217,1),(322,1)}
       268:{1,3,5,7}:{(214,1),(215,1),(218,1),(312,1),(322,1),(323,1),(421,1)}
       269:{1,2,6,7}:{(215,1),(219,1),(323,1),(481,1)}
       270:{1,2,3,7}:{(216,1),(314,1),(325,1)}
       271:{1,2,4,6}:{(216,1),(221,1),(315,1),(325,1),(326,1),(424,1)}
       272:{2,3,4,6}:{(217,1),(222,1),(316,1),(321,1),(327,1),(426,1),(439,1),(492,1)}
       273:{1,4,6}:{(217,1),(218,1),(223,1),(322,1)}
       274:{1,2,5,6}:{(218,1),(219,1),(224,1),(323,1),(328,1),(416,1)}
       275:{1,2,3,6}:{(219,1),(220,1),(319,1),(330,1),(424,1)}
       276:{1,2,4,7}:{(220,1),(221,1),(320,1),(330,1),(333,1)}
       277:{1,3,4,5}:{(222,1),(223,1),(327,1),(331,1),(332,1),(429,1),(535,1)}
       278:{1,2,4,5}:{(223,1),(224,1),(328,1),(331,1),(332,1),(333,1)}
       279:{1,2,3,5}:{(224,1),(225,1),(332,1),(333,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(231,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(233,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(234,1),(243,1),(310,1),(337,1),(338,1),(343,1),(438,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(235,1),(334,1),(339,1),(436,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(244,1),(312,1),(339,1),(340,1),(435,1),(484,1),(548,1)}
       287:{2,4,6,7}:{(232,1),(233,1),(237,1),(336,1),(340,1),(341,1),(420,1),(436,1),(481,1)}
       288:{2,3,7}:{(233,1),(234,1),(246,1),(314,1)}
       289:{2,3,4,6}:{(234,1),(239,1),(247,1),(315,1),(338,1),(342,1),(343,1),(438,1)}
       290:{1,4,5,6}:{(235,1),(236,1),(339,1),(344,1),(354,1),(418,1)}
       291:{2,5,6}:{(236,1),(237,1),(340,1)}
       292:{2,3,6}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(250,1),(320,1),(346,1),(430,1),(436,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(246,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(354,1),(439,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(248,1),(340,1),(351,1),(548,1)}
       299:{1,3,6,7}:{(245,1),(246,1),(249,1),(341,1),(351,1),(494,1)}
       300:{1,3,4,7}:{(246,1),(247,1),(252,1),(342,1),(353,1)}
       301:{1,3,5}:{(247,1),(253,1),(343,1)}
       302:{1,3,5,6}:{(248,1),(249,1),(345,1),(351,1),(354,1),(355,1)}
       303:{1,3,4,6}:{(249,1),(250,1),(254,1),(346,1),(354,1),(355,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(254,1),(352,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,4,5,7}:{(252,1),(253,1),(353,1),(356,1),(357,1),(434,1),(444,1)}
       306:{1,2,5}:{(254,1),(355,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(258,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(260,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(261,1),(284,1),(361,1),(362,1),(368,1),(455,1),(512,1)}
       311:{2,4,5,7}:{(257,1),(258,1),(262,1),(267,1),(358,1),(363,1),(364,1),(451,1),(514,1),(542,1)}
       312:{1,5,7}:{(258,1),(259,1),(263,1)}
       313:{1,2,4,6,7}:{(259,1),(260,1),(264,1),(269,1),(287,1),(360,1),(365,1),(366,1),(374,1),(449,1),(453,1)}
       314:{1,3,7}:{(260,1),(261,1),(288,1)}
       315:{1,3,4,6}:{(261,1),(266,1),(271,1),(289,1),(362,1),(367,1),(368,1),(455,1)}
       316:{2,3,5,6}:{(262,1),(272,1),(363,1),(369,1),(394,1)}
       317:{1,4,5,6}:{(262,1),(263,1),(273,1),(364,1),(369,1),(517,1),(552,1)}
       318:{1,2,5,6}:{(263,1),(264,1),(291,1),(365,1),(371,1),(381,1),(512,1)}
       319:{1,3,6}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,7}:{(265,1),(266,1),(276,1),(293,1),(372,1),(384,1),(453,1)}
       321:{2,3,4,7}:{(267,1),(272,1),(363,1),(373,1),(461,1),(474,1),(514,1)}
       322:{1,4,7}:{(267,1),(268,1),(273,1)}
       323:{1,2,5,7}:{(268,1),(269,1),(274,1),(374,1),(451,1)}
       324:{1,2,3,6,7}:{(269,1),(270,1),(275,1),(366,1),(375,1),(376,1),(509,1),(522,1)}
       325:{1,2,4,7}:{(270,1),(271,1),(367,1),(377,1)}
       326:{1,2,5}:{(271,1),(368,1)}
       327:{1,3,4,6}:{(272,1),(273,1),(277,1),(369,1),(373,1),(378,1),(379,1),(465,1),(517,1)}
       328:{1,2,4,6}:{(273,1),(274,1),(278,1),(374,1),(378,1),(379,1)}
       329:{1,2,3,5,6}:{(274,1),(275,1),(279,1),(371,1),(375,1),(379,1),(380,1),(381,1),(457,1),(464,1),(467,1),(522,1)}
       330:{1,2,4,6}:{(275,1),(276,1),(372,1),(381,1)}
       331:{2,4,5}:{(277,1),(378,1),(383,1)}
       332:{1,3,5}:{(278,1),(379,1),(383,1),(384,1)}
       333:{1,2,4}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(286,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(288,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(290,1),(385,1),(390,1),(400,1),(453,1)}
       340:{2,5,7}:{(286,1),(287,1),(291,1)}
       341:{2,3,6,7}:{(287,1),(288,1),(292,1),(299,1),(366,1),(391,1),(461,1),(470,1)}
       342:{2,3,4,7}:{(288,1),(289,1),(300,1),(367,1),(388,1),(393,1)}
       343:{2,3,5}:{(289,1),(301,1),(368,1),(389,1)}
       344:{2,4,5,6}:{(290,1),(291,1),(390,1),(394,1),(395,1)}
       345:{2,3,5,6}:{(291,1),(292,1),(302,1),(371,1),(391,1),(394,1),(395,1),(396,1)}
       346:{2,3,4,6}:{(292,1),(293,1),(303,1),(372,1),(395,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(402,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(301,1),(389,1),(403,1),(477,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(302,1),(391,1),(400,1)}
       352:{1,3,4,6,7}:{(299,1),(300,1),(303,1),(304,1),(392,1),(400,1),(401,1),(402,1),(480,1),(520,1),(541,1),(547,1)}
       353:{1,3,5,7}:{(300,1),(301,1),(305,1),(393,1),(402,1)}
       354:{1,4,6}:{(302,1),(395,1),(400,1),(403,1)}
       355:{1,3,5}:{(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(306,1),(401,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(305,1),(402,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(311,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(312,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(424,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(314,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(316,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,4,5,7}:{(311,1),(312,1),(317,1),(322,1),(406,1),(411,1),(532,1),(548,1)}
       365:{1,2,5,7}:{(312,1),(313,1),(318,1),(340,1),(413,1),(484,1)}
       366:{1,3,6,7}:{(313,1),(314,1),(319,1),(341,1),(413,1),(421,1)}
       367:{1,3,4,7}:{(314,1),(315,1),(325,1),(342,1),(409,1),(415,1)}
       368:{1,3,5}:{(315,1),(326,1),(343,1),(410,1)}
       369:{1,3,5,6}:{(316,1),(317,1),(327,1),(411,1),(416,1)}
       370:{1,2,4,5,6}:{(317,1),(318,1),(328,1),(344,1),(412,1),(416,1),(417,1),(418,1),(428,1),(492,1),(497,1),(531,1),(549,1)}
       371:{1,3,5,6}:{(318,1),(319,1),(345,1),(413,1),(418,1),(419,1)}
       372:{1,3,4,6}:{(319,1),(320,1),(330,1),(346,1),(418,1),(419,1)}
       373:{1,3,4,7}:{(321,1),(322,1),(327,1),(411,1),(420,1),(421,1),(494,1),(532,1)}
       374:{1,2,4,7}:{(322,1),(323,1),(328,1),(420,1),(421,1)}
       375:{1,2,3,5,7}:{(323,1),(324,1),(329,1),(413,1),(421,1),(422,1),(423,1),(487,1),(496,1)}
       376:{1,2,4,6,7}:{(324,1),(325,1),(330,1),(414,1),(422,1),(423,1),(424,1),(497,1),(529,1)}
       377:{1,2,5,7}:{(325,1),(326,1),(415,1),(424,1)}
       378:{2,4,6}:{(327,1),(331,1),(416,1),(420,1),(426,1)}
       379:{1,3,6}:{(328,1),(332,1),(421,1),(426,1)}
       380:{1,2,4,6}:{(329,1),(333,1),(418,1),(422,1),(427,1),(428,1),(492,1)}
       381:{1,2,5}:{(330,1),(419,1)}
       382:{1,2,4,5}:{(331,1),(425,1),(429,1),(501,1),(535,1),(539,1)}
       383:{2,3,5}:{(331,1),(332,1),(426,1),(429,1),(430,1)}
       384:{1,3,4}:{(332,1),(333,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(340,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(438,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(343,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(344,1),(431,1),(435,1),(436,1)}
       391:{2,3,5,7}:{(340,1),(341,1),(345,1),(351,1),(413,1),(435,1),(436,1)}
       392:{2,3,4,6,7}:{(341,1),(342,1),(346,1),(352,1),(414,1),(433,1),(436,1),(437,1),(438,1),(495,1),(502,1),(506,1),(529,1),(538,1)}
       393:{2,3,5,7}:{(342,1),(343,1),(353,1),(415,1),(434,1),(438,1)}
       394:{3,5,6}:{(344,1),(435,1),(439,1)}
       395:{2,4,6}:{(345,1),(354,1),(418,1),(436,1),(439,1),(440,1)}
       396:{2,3,5}:{(346,1),(355,1),(419,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(353,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(354,1),(436,1)}
       401:{1,3,5,7}:{(352,1),(355,1),(356,1),(437,1),(444,1),(445,1),(548,1)}
       402:{1,3,6}:{(353,1),(357,1),(438,1)}
       403:{1,4,5}:{(354,1),(355,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(364,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(365,1),(386,1),(447,1),(448,1),(464,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(455,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(368,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(369,1),(373,1),(446,1),(451,1)}
       412:{1,2,4,5,7}:{(364,1),(365,1),(370,1),(374,1),(390,1),(447,1),(451,1),(452,1),(453,1),(511,1),(514,1),(542,1)}
       413:{1,3,5,7}:{(365,1),(366,1),(371,1),(391,1),(453,1)}
       414:{1,3,4,6,7}:{(366,1),(367,1),(372,1),(376,1),(392,1),(449,1),(453,1),(454,1),(455,1),(462,1),(516,1),(522,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(377,1),(393,1),(450,1),(455,1)}
       416:{2,5,6}:{(369,1),(378,1),(451,1)}
       417:{1,3,5,6}:{(370,1),(379,1),(394,1),(452,1),(457,1),(458,1),(467,1),(522,1)}
       418:{1,4,6}:{(371,1),(395,1),(453,1),(459,1)}
       419:{1,3,5}:{(372,1),(381,1),(396,1),(459,1)}
       420:{2,4,7}:{(373,1),(378,1),(451,1),(461,1)}
       421:{1,3,7}:{(374,1),(379,1),(461,1)}
       422:{1,2,4,7}:{(375,1),(380,1),(453,1),(462,1),(514,1)}
       423:{1,2,5,7}:{(376,1),(381,1),(454,1),(464,1),(542,1)}
       424:{1,2,6}:{(377,1),(455,1)}
       425:{1,2,4,6}:{(378,1),(382,1),(456,1),(460,1),(465,1),(517,1)}
       426:{2,3,6}:{(378,1),(379,1),(383,1),(461,1),(465,1)}
       427:{1,3,4,6}:{(379,1),(380,1),(384,1),(462,1),(466,1),(467,1),(522,1)}
       428:{1,2,4,5}:{(380,1),(381,1),(459,1),(467,1),(518,1)}
       429:{1,3,5}:{(382,1),(383,1),(465,1),(469,1)}
       430:{2,3,4}:{(383,1),(384,1),(469,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(391,1),(397,1),(448,1),(470,1),(471,1),(472,1),(476,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(393,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(394,1),(470,1),(474,1)}
       436:{2,4,7}:{(391,1),(395,1),(400,1),(453,1),(474,1)}
       437:{2,3,5,7}:{(392,1),(396,1),(401,1),(454,1),(472,1),(475,1),(476,1),(525,1),(542,1)}
       438:{2,3,6}:{(393,1),(402,1),(455,1),(473,1)}
       439:{3,4,6}:{(394,1),(395,1),(474,1),(477,1)}
       440:{2,4,5}:{(395,1),(396,1),(403,1),(459,1),(477,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(402,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(403,1),(475,1),(480,1)}
       445:{1,3,5,6}:{(401,1),(402,1),(404,1),(476,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(412,1),(431,1),(481,1),(482,1),(483,1),(497,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(413,1),(432,1),(482,1),(483,1),(484,1),(490,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(415,1),(434,1),(484,1),(485,1)}
       451:{2,5,7}:{(411,1),(416,1),(420,1),(481,1)}
       452:{1,3,5,7}:{(412,1),(417,1),(421,1),(435,1),(482,1),(487,1),(488,1)}
       453:{1,4,7}:{(413,1),(418,1),(436,1)}
       454:{1,3,5,7}:{(414,1),(419,1),(423,1),(437,1),(484,1),(489,1),(490,1)}
       455:{1,3,6}:{(415,1),(424,1),(438,1),(485,1)}
       456:{1,2,5,6}:{(416,1),(425,1),(486,1),(491,1),(539,1),(551,1)}
       457:{2,3,5,6}:{(416,1),(417,1),(426,1),(487,1),(491,1),(492,1),(500,1),(538,1),(549,1)}
       458:{1,3,4,6}:{(417,1),(418,1),(439,1),(488,1),(492,1),(493,1)}
       459:{1,4,5}:{(418,1),(419,1),(440,1)}
       460:{1,2,4,7}:{(420,1),(425,1),(486,1),(494,1),(532,1)}
       461:{2,3,7}:{(420,1),(421,1),(426,1),(494,1)}
       462:{1,3,4,7}:{(421,1),(422,1),(427,1),(495,1),(496,1)}
       463:{1,2,4,5,7}:{(422,1),(423,1),(428,1),(489,1),(496,1),(497,1),(533,1)}
       464:{1,2,5,6}:{(423,1),(424,1),(490,1),(497,1),(549,1)}
       465:{1,3,6}:{(425,1),(426,1),(429,1),(494,1)}
       466:{2,3,4,6}:{(426,1),(427,1),(430,1),(492,1),(495,1),(499,1),(500,1),(538,1)}
       467:{1,3,5}:{(427,1),(428,1),(500,1)}
       468:{1,2,3,5}:{(429,1),(498,1),(501,1),(539,1)}
       469:{1,3,4}:{(429,1),(430,1),(501,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(436,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(438,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(439,1)}
       475:{2,4,5,7}:{(436,1),(437,1),(440,1),(444,1),(489,1),(505,1),(506,1)}
       476:{2,3,5,6}:{(437,1),(438,1),(445,1),(490,1),(504,1),(506,1),(538,1),(540,1),(549,1)}
       477:{3,4,5}:{(439,1),(440,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(451,1)}
       482:{1,3,6,7}:{(447,1),(452,1),(470,1),(509,1),(522,1)}
       483:{1,4,6,7}:{(448,1),(453,1),(471,1),(511,1),(516,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(455,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(456,1),(460,1),(508,1),(513,1)}
       487:{2,3,5,7}:{(451,1),(452,1),(457,1),(461,1),(509,1),(513,1),(514,1),(542,1)}
       488:{1,3,4,7}:{(452,1),(453,1),(458,1),(474,1),(514,1)}
       489:{1,4,5,7}:{(453,1),(454,1),(459,1),(475,1),(516,1)}
       490:{1,3,5,6}:{(454,1),(455,1),(464,1),(476,1),(512,1),(516,1),(522,1)}
       491:{1,3,5,6}:{(456,1),(457,1),(465,1),(513,1),(517,1),(524,1),(547,1),(552,1)}
       492:{2,4,6}:{(457,1),(458,1),(514,1),(517,1),(518,1)}
       493:{1,3,4,5}:{(458,1),(459,1),(467,1),(477,1),(518,1)}
       494:{1,3,7}:{(460,1),(461,1),(465,1)}
       495:{2,3,4,7}:{(461,1),(462,1),(466,1),(514,1),(520,1),(521,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(467,1),(521,1),(522,1)}
       497:{1,2,4,6}:{(463,1),(464,1),(516,1),(522,1),(545,1)}
       498:{1,2,3,6}:{(465,1),(468,1),(519,1),(523,1)}
       499:{1,3,4,6}:{(465,1),(466,1),(469,1),(517,1),(520,1),(523,1),(524,1),(547,1)}
       500:{2,3,5}:{(466,1),(467,1),(518,1),(524,1)}
       501:{1,2,4}:{(468,1),(469,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(477,1),(525,1),(527,1)}
       506:{2,4,6}:{(475,1),(476,1),(480,1),(516,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(487,1),(528,1),(529,1),(538,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(488,1),(502,1),(529,1),(530,1),(534,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(491,1),(494,1),(528,1),(532,1),(548,1)}
       514:{2,4,7}:{(487,1),(488,1),(492,1),(532,1)}
       515:{1,3,4,5,7}:{(488,1),(489,1),(493,1),(496,1),(505,1),(530,1),(533,1),(534,1)}
       516:{1,4,6}:{(489,1),(490,1),(506,1)}
       517:{1,4,6}:{(491,1),(492,1),(532,1),(535,1)}
       518:{2,4,5}:{(492,1),(493,1),(500,1),(535,1)}
       519:{1,2,3,7}:{(494,1),(498,1),(536,1)}
       520:{1,3,4,7}:{(494,1),(495,1),(499,1),(532,1),(536,1),(537,1)}
       521:{2,3,5,7}:{(495,1),(496,1),(500,1),(533,1),(537,1),(538,1)}
       522:{1,3,6}:{(496,1),(497,1),(538,1)}
       523:{1,2,4,6}:{(498,1),(499,1),(501,1),(536,1),(539,1),(551,1)}
       524:{1,3,5}:{(499,1),(500,1),(535,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(514,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(516,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(517,1)}
       533:{2,4,5,7}:{(514,1),(515,1),(518,1),(521,1),(542,1),(544,1),(545,1)}
       534:{1,3,4,6}:{(515,1),(516,1),(522,1),(527,1),(543,1),(545,1)}
       535:{1,4,5}:{(517,1),(518,1),(524,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(523,1),(546,1)}
       537:{1,3,5,7}:{(520,1),(521,1),(524,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(522,1),(545,1),(547,1)}
       539:{1,2,5}:{(523,1),(524,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(534,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(535,1),(537,1),(548,1),(550,1)}
       545:{2,4,6}:{(533,1),(534,1),(538,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,3,6}:{(537,1),(538,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

1909 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(63,1),(138,1),(234,1),(238,1),(243,1),(351,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(94,1),(401,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(295,1),(400,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(135,1),(238,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(243,1),(352,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(444,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(138,1),(346,1),(350,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(97,1),(194,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(295,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(107,1),(119,1),(121,1),(185,1),(191,1),(299,1),(314,1),(401,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(187,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(252,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(238,1),(369,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(240,1),(283,1),(350,1),(387,1),(390,1),(444,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(155,1),(167,1),(169,1),(241,1),(249,1),(353,1),(368,1),(444,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(243,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(401,1),(415,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(191,1),(194,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(196,1),(227,1),(231,1),(310,1),(336,1),(339,1),(414,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(295,1),(417,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(297,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(210,1),(307,1),(412,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(65,1),(142,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(74,1),(81,1),(150,1),(158,1),(163,1),(246,1),(264,1),(267,1),(271,1)}
        42:{1,3,4,5,6}:{(26,1),(69,1),(70,1),(80,1),(140,1),(258,1),(260,1),(261,1),(369,1),(373,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(517,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(444,1),(457,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(249,1),(252,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(254,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(455,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(352,1),(444,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(268,1),(353,1),(362,1),(471,1)}
        63:{1,2,3,5}:{(93,1),(94,1),(180,1),(183,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(99,1),(110,1),(183,1),(287,1)}
        65:{2,3,4,6}:{(40,1),(46,1),(96,1),(99,1),(101,1),(194,1),(302,1),(415,1)}
        66:{2,3,4,5,7}:{(40,1),(47,1),(100,1),(101,1),(102,1),(131,1),(195,1),(201,1),(230,1),(303,1),(312,1),(411,1),(414,1),(416,1),(476,1),(493,1)}
        67:{1,2,4,6}:{(41,1),(43,1),(103,1),(104,1),(105,1),(302,1),(327,1)}
        68:{1,2,3,5,7}:{(41,1),(105,1),(106,1),(122,1),(205,1),(209,1),(213,1),(304,1),(326,1)}
        69:{2,4,5,6}:{(42,1),(46,1),(96,1),(107,1),(108,1),(119,1),(191,1),(302,1),(408,1)}
        70:{1,3,4,5,7}:{(42,1),(48,1),(108,1),(109,1),(120,1),(192,1),(315,1),(317,1),(318,1),(417,1),(421,1)}
        71:{1,3,4}:{(43,1),(97,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(98,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(537,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(191,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(536,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(307,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(312,1),(414,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(400,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(238,1)}
        94:{1,2,4}:{(63,1),(135,1)}
        95:{1,2,3,5,7}:{(63,1),(134,1),(137,1),(138,1),(235,1),(239,1),(243,1),(388,1),(389,1),(470,1)}
        96:{2,3,5,6}:{(65,1),(69,1),(140,1),(141,1),(369,1)}
        97:{2,3,4}:{(71,1),(135,1),(142,1)}
        98:{2,4,5}:{(64,1),(142,1),(144,1)}
        99:{1,3,4,6}:{(64,1),(65,1),(75,1),(140,1),(144,1),(146,1),(158,1),(238,1),(341,1)}
       100:{1,3,4,5,7}:{(64,1),(66,1),(76,1),(145,1),(146,1),(147,1),(159,1),(239,1),(257,1),(272,1),(286,1),(342,1),(352,1),(367,1),(377,1),(444,1),(457,1),(459,1),(507,1),(520,1)}
       101:{2,3,4,7}:{(65,1),(77,1),(141,1),(146,1),(252,1),(357,1),(457,1)}
       102:{2,3,4,6}:{(66,1),(78,1),(147,1),(149,1),(178,1),(253,1),(285,1),(358,1),(366,1),(454,1),(506,1)}
       103:{1,3,4,6}:{(67,1),(71,1),(139,1),(150,1),(151,1),(158,1),(264,1)}
       104:{1,2,4,5}:{(67,1),(150,1),(163,1),(245,1),(272,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(151,1),(357,1),(377,1)}
       106:{1,2,3,6,7}:{(68,1),(74,1),(154,1),(170,1),(264,1),(270,1),(359,1),(511,1)}
       107:{1,4,5,6}:{(69,1),(75,1),(140,1),(155,1),(166,1),(341,1),(436,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(77,1),(141,1),(155,1),(156,1),(167,1),(249,1),(357,1),(451,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(363,1),(364,1),(455,1)}
       110:{1,3,5}:{(71,1),(72,1),(142,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(143,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(144,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(145,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(514,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(516,1),(517,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(249,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(362,1),(365,1),(384,1),(386,1),(455,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(367,1),(457,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(444,1)}
       133:{1,2,4,6}:{(93,1),(94,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(295,1)}
       135:{1,3,4}:{(94,1),(97,1),(183,1)}
       136:{1,2,4,5}:{(94,1),(98,1),(180,1),(183,1),(185,1),(287,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(184,1),(187,1),(502,1)}
       138:{1,2,3,6}:{(95,1),(187,1),(292,1),(296,1),(434,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(194,1),(302,1),(305,1)}
       140:{1,3,5,6}:{(96,1),(99,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(101,1),(108,1),(192,1),(193,1),(417,1)}
       142:{2,3,5}:{(97,1),(98,1),(110,1),(183,1),(194,1)}
       143:{2,3,4,7}:{(97,1),(111,1),(184,1),(195,1),(196,1),(414,1),(541,1)}
       144:{2,4,6}:{(98,1),(99,1),(191,1),(194,1),(197,1)}
       145:{2,4,5,7}:{(98,1),(100,1),(195,1),(197,1),(198,1),(312,1),(313,1),(414,1),(495,1),(539,1)}
       146:{1,3,4,7}:{(99,1),(101,1),(116,1),(192,1),(197,1),(213,1),(295,1),(391,1)}
       147:{1,3,4,6}:{(100,1),(102,1),(117,1),(198,1),(200,1),(214,1),(296,1),(327,1),(340,1),(392,1),(401,1),(415,1),(530,1)}
       148:{2,3,4,6,7}:{(101,1),(102,1),(118,1),(193,1),(199,1),(201,1),(231,1),(309,1),(310,1),(339,1),(407,1),(414,1),(490,1),(491,1),(493,1),(529,1)}
       149:{2,3,5,6}:{(102,1),(119,1),(200,1),(201,1),(202,1),(223,1),(334,1),(408,1),(489,1),(528,1)}
       150:{1,3,5}:{(103,1),(104,1),(189,1)}
       151:{1,3,4,7}:{(103,1),(105,1),(190,1),(205,1),(213,1)}
       152:{1,2,4,5,6}:{(104,1),(107,1),(112,1),(191,1),(204,1),(207,1),(208,1),(217,1),(302,1),(314,1),(327,1),(408,1),(422,1)}
       153:{1,2,4,5,7}:{(104,1),(105,1),(205,1),(208,1),(209,1),(303,1),(322,1)}
       154:{1,2,4,6,7}:{(105,1),(106,1),(114,1),(206,1),(208,1),(209,1),(407,1),(480,1),(532,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(116,1),(192,1),(210,1),(220,1),(391,1),(472,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(307,1)}
       157:{1,3,5,6,7}:{(109,1),(120,1),(211,1),(212,1),(325,1),(421,1)}
       158:{1,3,6}:{(110,1),(112,1),(194,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(195,1),(213,1),(214,1),(215,1),(535,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(196,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(197,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(198,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(537,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(307,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(414,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(139,1),(232,1),(233,1),(238,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(138,1),(236,1),(237,1),(350,1),(441,1),(471,1),(508,1)}
       183:{1,3,5}:{(135,1),(136,1),(142,1),(238,1)}
       184:{1,3,4,7}:{(135,1),(137,1),(143,1),(239,1),(240,1),(444,1),(526,1)}
       185:{1,2,4,6}:{(136,1),(144,1),(234,1),(238,1),(241,1),(341,1)}
       186:{1,2,4,5,7}:{(136,1),(137,1),(145,1),(235,1),(239,1),(241,1),(242,1),(243,1),(286,1),(342,1),(352,1),(353,1),(388,1),(444,1),(467,1),(524,1)}
       187:{1,2,4,6}:{(137,1),(138,1),(240,1),(243,1)}
       188:{1,2,3,5,6}:{(138,1),(237,1),(243,1),(244,1),(347,1),(351,1),(355,1),(441,1),(448,1),(469,1),(470,1),(525,1)}
       189:{2,3,5}:{(139,1),(150,1),(232,1),(245,1)}
       190:{2,3,4,7}:{(139,1),(151,1),(233,1),(247,1),(252,1),(357,1)}
       191:{2,5,6}:{(140,1),(144,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(146,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(455,1)}
       194:{2,3,6}:{(142,1),(144,1),(158,1),(238,1),(252,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(145,1),(159,1),(239,1),(252,1),(253,1),(254,1),(522,1),(550,1)}
       196:{2,3,4,6}:{(143,1),(160,1),(240,1),(253,1),(254,1),(366,1)}
       197:{2,4,7}:{(144,1),(146,1),(249,1),(252,1)}
       198:{2,4,6}:{(145,1),(147,1),(253,1),(256,1)}
       199:{1,3,4,6,7}:{(146,1),(147,1),(148,1),(165,1),(250,1),(255,1),(257,1),(270,1),(350,1),(363,1),(377,1),(390,1),(435,1),(444,1),(455,1),(457,1),(519,1),(520,1),(545,1)}
       200:{1,3,5,6}:{(147,1),(149,1),(166,1),(256,1),(257,1),(258,1),(369,1),(385,1),(436,1),(544,1)}
       201:{2,3,5,7}:{(148,1),(149,1),(167,1),(257,1),(259,1),(279,1),(384,1),(451,1),(518,1),(543,1)}
       202:{2,4,5,6}:{(149,1),(258,1),(259,1),(260,1),(366,1)}
       203:{1,3,4,5}:{(150,1),(245,1),(261,1),(272,1),(367,1)}
       204:{1,3,5,6}:{(150,1),(152,1),(158,1),(246,1),(261,1),(263,1),(264,1),(369,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,4,6,7}:{(151,1),(154,1),(160,1),(248,1),(264,1),(265,1),(270,1),(375,1),(377,1),(443,1),(509,1),(545,1)}
       207:{1,2,4,5,7}:{(152,1),(155,1),(161,1),(249,1),(263,1),(266,1),(273,1),(357,1),(368,1),(377,1),(451,1),(463,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(267,1),(358,1),(375,1)}
       209:{1,2,5,7}:{(154,1),(163,1),(265,1),(267,1),(451,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(167,1),(268,1),(451,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(363,1),(463,1),(464,1)}
       213:{1,3,7}:{(158,1),(161,1),(252,1)}
       214:{1,3,6}:{(159,1),(162,1),(253,1)}
       215:{1,3,5}:{(160,1),(163,1),(254,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(255,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(256,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(362,1),(384,1),(464,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(455,1),(457,1)}
       232:{1,3,5}:{(179,1),(180,1),(189,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(190,1),(289,1),(295,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(191,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(187,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(188,1),(293,1),(294,1),(398,1),(400,1),(484,1),(501,1),(542,1)}
       238:{1,3,6}:{(183,1),(185,1),(194,1),(295,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(186,1),(195,1),(295,1),(296,1),(297,1),(500,1),(542,1)}
       240:{1,3,4,6}:{(184,1),(187,1),(196,1),(296,1),(297,1),(401,1)}
       241:{1,2,4,7}:{(185,1),(197,1),(291,1),(295,1),(391,1)}
       242:{1,2,4,6}:{(186,1),(198,1),(292,1),(296,1),(299,1),(340,1),(392,1),(401,1),(434,1)}
       243:{1,2,5}:{(187,1),(297,1)}
       244:{1,2,4,6}:{(188,1),(294,1),(300,1),(301,1),(401,1),(482,1),(502,1)}
       245:{2,4,5}:{(189,1),(203,1),(287,1),(302,1)}
       246:{2,3,5,6}:{(189,1),(191,1),(194,1),(204,1),(288,1),(302,1),(304,1),(305,1),(408,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(289,1),(303,1),(305,1)}
       248:{2,3,4,6,7}:{(190,1),(196,1),(206,1),(290,1),(305,1),(306,1),(310,1),(399,1),(407,1),(410,1),(414,1),(478,1),(490,1),(529,1)}
       249:{2,5,7}:{(191,1),(192,1),(197,1),(307,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(307,1)}
       251:{2,3,5,6,7}:{(193,1),(201,1),(211,1),(308,1),(309,1),(325,1),(424,1),(491,1)}
       252:{2,3,7}:{(194,1),(197,1),(213,1),(295,1)}
       253:{2,3,6}:{(195,1),(198,1),(214,1),(296,1)}
       254:{2,3,5}:{(196,1),(215,1),(297,1),(312,1)}
       255:{2,4,6,7}:{(197,1),(198,1),(199,1),(307,1),(310,1),(313,1),(414,1),(538,1),(539,1)}
       256:{2,5,6}:{(198,1),(200,1),(313,1)}
       257:{1,3,5,7}:{(199,1),(200,1),(201,1),(220,1),(313,1),(315,1),(417,1),(432,1),(472,1),(551,1)}
       258:{1,4,5,6}:{(200,1),(202,1),(314,1),(315,1),(327,1),(401,1)}
       259:{2,4,5,7}:{(201,1),(202,1),(309,1),(315,1),(317,1),(414,1)}
       260:{3,4,5,6}:{(202,1),(223,1),(317,1),(415,1),(489,1)}
       261:{1,3,4,6}:{(203,1),(204,1),(302,1),(318,1),(327,1),(415,1)}
       262:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(318,1),(319,1),(322,1),(411,1),(421,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(304,1),(318,1),(320,1),(417,1)}
       264:{1,3,6}:{(205,1),(208,1),(305,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(306,1),(321,1),(322,1),(551,1)}
       266:{1,2,4,6,7}:{(207,1),(208,1),(210,1),(307,1),(320,1),(323,1),(407,1),(412,1),(423,1)}
       267:{1,2,5,6}:{(208,1),(209,1),(321,1),(408,1),(532,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(220,1),(472,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(222,1),(309,1),(324,1),(325,1),(412,1),(424,1),(488,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(310,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(311,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(312,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(313,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(314,1),(327,1),(329,1),(330,1),(334,1),(420,1),(426,1),(497,1),(534,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(412,1),(492,1),(538,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(245,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(238,1),(246,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(240,1),(248,1),(344,1),(345,1),(349,1),(350,1),(435,1),(438,1),(441,1),(444,1)}
       291:{1,2,5,7}:{(234,1),(241,1),(249,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(243,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(244,1),(349,1),(444,1),(512,1)}
       295:{1,3,7}:{(238,1),(241,1),(252,1)}
       296:{1,3,6}:{(239,1),(242,1),(253,1)}
       297:{1,3,5}:{(240,1),(243,1),(254,1),(352,1)}
       298:{1,2,4,6,7}:{(241,1),(242,1),(255,1),(346,1),(350,1),(353,1),(390,1),(435,1),(444,1),(471,1),(524,1)}
       299:{1,2,5,6}:{(242,1),(243,1),(256,1),(351,1),(353,1),(385,1),(436,1)}
       300:{1,2,4,5}:{(243,1),(244,1),(352,1),(355,1),(446,1)}
       301:{1,3,4,6}:{(244,1),(349,1),(355,1),(356,1),(441,1),(525,1),(526,1)}
       302:{2,4,6}:{(245,1),(246,1),(261,1),(341,1),(357,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(262,1),(342,1),(357,1),(358,1),(451,1)}
       304:{2,3,5,7}:{(246,1),(249,1),(252,1),(263,1),(343,1),(357,1),(359,1),(451,1)}
       305:{2,3,6}:{(247,1),(264,1),(344,1),(358,1)}
       306:{2,3,5,7}:{(248,1),(254,1),(265,1),(345,1),(360,1),(361,1),(451,1),(518,1),(543,1)}
       307:{2,6,7}:{(249,1),(250,1)}
       308:{1,3,5,6,7}:{(250,1),(251,1),(257,1),(268,1),(362,1),(363,1),(455,1),(464,1),(519,1)}
       309:{2,4,6,7}:{(251,1),(259,1),(363,1),(364,1)}
       310:{2,3,6,7}:{(252,1),(253,1),(255,1),(270,1),(350,1),(365,1),(455,1),(550,1)}
       311:{2,3,5,6}:{(253,1),(254,1),(256,1),(271,1),(351,1),(365,1),(366,1),(369,1)}
       312:{2,4,5}:{(254,1),(272,1),(352,1),(366,1),(367,1)}
       313:{2,5,7}:{(255,1),(256,1),(257,1)}
       314:{2,4,5,6}:{(256,1),(258,1),(366,1),(368,1),(369,1)}
       315:{1,4,5,7}:{(257,1),(258,1),(259,1),(363,1),(368,1),(377,1),(444,1)}
       316:{1,3,4,5,6}:{(258,1),(260,1),(278,1),(369,1),(370,1),(371,1),(378,1),(445,1),(461,1),(504,1)}
       317:{3,4,5,7}:{(259,1),(260,1),(279,1),(364,1),(457,1),(518,1)}
       318:{1,3,4,7}:{(261,1),(263,1),(357,1),(377,1),(457,1)}
       319:{1,3,4,6}:{(262,1),(264,1),(358,1),(373,1),(375,1),(454,1)}
       320:{1,3,6,7}:{(263,1),(264,1),(266,1),(359,1),(455,1)}
       321:{1,3,5,6}:{(264,1),(265,1),(267,1),(360,1),(375,1),(509,1),(544,1)}
       322:{1,4,5,7}:{(265,1),(272,1),(361,1),(375,1),(377,1)}
       323:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(273,1),(362,1),(374,1),(451,1),(546,1)}
       324:{1,4,5,6,7}:{(268,1),(269,1),(277,1),(363,1),(376,1),(503,1)}
       325:{3,5,6,7}:{(269,1),(279,1),(364,1),(455,1),(518,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(365,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(366,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(367,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(368,1),(377,1),(380,1),(384,1),(462,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(369,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(455,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(302,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(303,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(295,1),(304,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(305,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(297,1),(306,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(307,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(300,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(301,1),(398,1),(399,1),(542,1)}
       350:{1,3,6,7}:{(295,1),(296,1),(298,1),(310,1),(400,1),(542,1)}
       351:{1,3,5,6}:{(296,1),(297,1),(299,1),(311,1),(400,1),(401,1)}
       352:{1,4,5}:{(297,1),(312,1),(401,1)}
       353:{1,2,5,7}:{(298,1),(299,1),(313,1),(400,1),(432,1),(472,1)}
       354:{1,2,4,5,6}:{(299,1),(300,1),(314,1),(397,1),(401,1),(403,1),(404,1),(420,1),(473,1),(482,1),(497,1),(499,1),(528,1)}
       355:{1,3,5}:{(300,1),(301,1),(405,1)}
       356:{2,3,4,6}:{(301,1),(399,1),(405,1),(406,1),(478,1),(482,1),(540,1),(541,1)}
       357:{2,4,7}:{(302,1),(304,1),(318,1),(391,1)}
       358:{2,4,6}:{(303,1),(305,1),(319,1),(392,1),(408,1)}
       359:{2,3,6,7}:{(304,1),(305,1),(307,1),(320,1),(393,1),(407,1)}
       360:{2,3,5,6}:{(305,1),(306,1),(321,1),(394,1),(408,1),(410,1),(478,1),(489,1),(528,1)}
       361:{2,4,5,7}:{(306,1),(312,1),(322,1),(395,1),(410,1),(411,1),(414,1)}
       362:{2,5,6,7}:{(307,1),(308,1),(313,1),(412,1),(538,1)}
       363:{1,4,6,7}:{(308,1),(309,1),(315,1),(412,1)}
       364:{3,4,6,7}:{(309,1),(317,1),(325,1)}
       365:{2,3,5,7}:{(310,1),(311,1),(313,1),(326,1),(400,1),(414,1),(417,1)}
       366:{2,4,6}:{(311,1),(312,1),(327,1),(401,1),(414,1),(415,1)}
       367:{3,4,5}:{(312,1),(415,1)}
       368:{2,4,5,7}:{(313,1),(314,1),(315,1),(412,1),(414,1),(417,1)}
       369:{3,5,6}:{(314,1),(415,1),(417,1)}
       370:{1,3,4,5,7}:{(315,1),(316,1),(317,1),(333,1),(413,1),(417,1),(419,1),(425,1),(481,1),(496,1),(527,1)}
       371:{2,4,5,6}:{(316,1),(334,1),(418,1),(419,1),(420,1),(426,1),(482,1),(497,1),(528,1)}
       372:{1,3,4,6,7}:{(318,1),(319,1),(320,1),(407,1),(421,1),(423,1),(490,1)}
       373:{1,3,5,6}:{(319,1),(408,1),(421,1),(422,1),(489,1)}
       374:{1,3,5,6,7}:{(320,1),(321,1),(323,1),(326,1),(409,1),(421,1),(423,1),(531,1),(551,1)}
       375:{1,4,6}:{(321,1),(322,1),(410,1)}
       376:{1,3,5,6,7}:{(324,1),(325,1),(333,1),(413,1),(424,1),(527,1)}
       377:{1,4,7}:{(326,1),(327,1),(414,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(415,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(417,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(538,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(357,1)}
       392:{1,4,6}:{(342,1),(344,1),(358,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(359,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(360,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(438,1),(444,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(353,1),(362,1),(437,1),(440,1),(464,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(355,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(356,1),(442,1),(443,1),(512,1),(550,1)}
       400:{1,3,5,7}:{(350,1),(351,1),(353,1),(365,1),(444,1)}
       401:{1,4,6}:{(351,1),(352,1),(366,1),(444,1)}
       402:{1,3,4,5}:{(352,1),(355,1),(367,1),(445,1),(446,1)}
       403:{1,2,4,5,7}:{(353,1),(354,1),(368,1),(440,1),(444,1),(447,1),(462,1),(503,1),(512,1),(523,1),(524,1),(543,1)}
       404:{1,3,5,6}:{(354,1),(355,1),(369,1),(441,1),(445,1),(447,1),(448,1),(525,1)}
       405:{2,3,5}:{(355,1),(356,1),(446,1),(449,1)}
       406:{1,3,4,6}:{(356,1),(443,1),(449,1),(450,1),(509,1),(513,1),(548,1),(549,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(359,1),(372,1),(435,1),(451,1)}
       408:{2,5,6}:{(358,1),(373,1),(436,1),(451,1)}
       409:{2,3,5,6,7}:{(359,1),(360,1),(362,1),(365,1),(374,1),(437,1),(451,1),(453,1),(455,1),(508,1),(518,1),(543,1)}
       410:{2,4,6}:{(360,1),(361,1),(375,1),(438,1),(454,1)}
       411:{3,4,5,7}:{(361,1),(367,1),(454,1),(457,1),(518,1)}
       412:{2,4,6,7}:{(362,1),(363,1),(368,1),(455,1)}
       413:{1,3,4,6,7}:{(363,1),(364,1),(370,1),(376,1),(455,1),(456,1),(519,1)}
       414:{2,4,7}:{(365,1),(366,1),(377,1),(444,1),(457,1)}
       415:{3,4,6}:{(366,1),(367,1),(369,1),(457,1)}
       416:{2,3,4,5}:{(367,1),(379,1),(446,1),(458,1),(459,1),(522,1)}
       417:{3,5,7}:{(368,1),(369,1),(455,1),(457,1)}
       418:{2,3,5,6}:{(369,1),(371,1),(458,1),(460,1),(461,1)}
       419:{2,4,5,7}:{(370,1),(371,1),(384,1),(456,1),(460,1),(462,1),(465,1),(512,1),(523,1),(543,1)}
       420:{1,4,5,6}:{(371,1),(385,1),(461,1),(462,1),(466,1),(513,1),(544,1)}
       421:{1,3,5,7}:{(372,1),(373,1),(451,1),(463,1),(518,1)}
       422:{1,4,5,6}:{(373,1),(375,1),(452,1),(463,1),(544,1)}
       423:{1,4,6,7}:{(374,1),(375,1),(377,1),(453,1),(463,1)}
       424:{2,5,6,7}:{(376,1),(384,1),(456,1),(464,1),(543,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(457,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(407,1),(472,1)}
       436:{1,5,6}:{(392,1),(408,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(400,1),(409,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(410,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(402,1),(411,1),(475,1),(476,1),(481,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(403,1),(412,1),(474,1),(477,1),(492,1),(529,1),(538,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(405,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(406,1),(479,1),(480,1),(533,1),(552,1)}
       444:{1,4,7}:{(400,1),(401,1),(414,1)}
       445:{1,3,4,6}:{(401,1),(402,1),(404,1),(415,1),(481,1),(482,1)}
       446:{2,4,5}:{(402,1),(405,1),(482,1),(483,1)}
       447:{1,3,5,7}:{(403,1),(404,1),(417,1),(477,1),(481,1),(484,1),(542,1)}
       448:{2,3,5,6}:{(404,1),(405,1),(478,1),(482,1),(484,1),(485,1),(497,1),(528,1),(540,1)}
       449:{1,3,5}:{(405,1),(406,1),(483,1),(486,1)}
       450:{1,2,4,6}:{(406,1),(480,1),(486,1),(487,1),(532,1),(537,1)}
       451:{2,5,7}:{(407,1),(408,1),(421,1),(472,1)}
       452:{2,4,5,6}:{(408,1),(410,1),(422,1),(473,1),(488,1),(489,1),(528,1)}
       453:{2,4,6,7}:{(409,1),(410,1),(414,1),(423,1),(474,1),(488,1),(490,1)}
       454:{3,4,6}:{(410,1),(411,1),(489,1)}
       455:{3,6,7}:{(412,1),(417,1)}
       456:{2,4,6,7}:{(413,1),(419,1),(424,1),(491,1),(492,1),(538,1)}
       457:{3,4,7}:{(414,1),(415,1),(417,1)}
       458:{2,3,4,6}:{(415,1),(416,1),(418,1),(426,1),(482,1),(493,1),(494,1),(540,1)}
       459:{1,3,4,5}:{(416,1),(427,1),(483,1),(494,1),(495,1),(500,1),(535,1)}
       460:{2,3,5,7}:{(417,1),(418,1),(419,1),(491,1),(493,1),(496,1)}
       461:{1,3,5,6}:{(418,1),(420,1),(494,1),(496,1),(497,1)}
       462:{1,4,5,7}:{(419,1),(420,1),(432,1),(492,1),(496,1),(498,1),(533,1),(551,1)}
       463:{1,4,5,7}:{(421,1),(422,1),(423,1),(488,1),(551,1)}
       464:{1,5,6,7}:{(424,1),(432,1),(492,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(538,1)}
       472:{1,5,7}:{(435,1),(436,1),(451,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(452,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(444,1),(453,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(454,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(446,1),(506,1),(507,1),(512,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(447,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(449,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(450,1),(510,1),(511,1)}
       481:{1,3,4,7}:{(444,1),(445,1),(447,1),(457,1),(512,1)}
       482:{2,4,6}:{(445,1),(446,1),(448,1),(512,1),(513,1)}
       483:{1,4,5}:{(446,1),(449,1),(513,1)}
       484:{2,3,5,7}:{(447,1),(448,1),(508,1),(512,1),(515,1),(523,1),(543,1),(550,1)}
       485:{1,3,5,6}:{(448,1),(449,1),(509,1),(513,1),(515,1),(516,1),(544,1),(548,1)}
       486:{1,2,5}:{(449,1),(450,1)}
       487:{1,2,3,6}:{(450,1),(511,1),(517,1),(548,1)}
       488:{2,4,5,7}:{(451,1),(452,1),(453,1),(463,1),(503,1),(518,1),(543,1)}
       489:{3,5,6}:{(452,1),(454,1),(518,1)}
       490:{3,4,6,7}:{(453,1),(454,1),(455,1),(457,1),(518,1)}
       491:{2,3,6,7}:{(455,1),(456,1),(460,1),(519,1)}
       492:{1,4,6,7}:{(456,1),(462,1),(464,1),(519,1)}
       493:{2,3,4,7}:{(457,1),(458,1),(460,1),(465,1),(512,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(458,1),(459,1),(461,1),(466,1),(513,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(459,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(460,1),(461,1),(462,1),(519,1),(520,1),(523,1)}
       497:{2,5,6}:{(461,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(488,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(489,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(481,1),(490,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(483,1),(530,1),(533,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(484,1),(529,1),(531,1),(538,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(486,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(487,1),(552,1)}
       512:{2,4,7}:{(481,1),(482,1),(484,1),(533,1)}
       513:{1,4,6}:{(482,1),(483,1),(485,1),(533,1)}
       514:{1,2,4,5}:{(483,1),(486,1),(495,1),(534,1),(535,1),(537,1)}
       515:{1,3,5,7}:{(484,1),(485,1),(531,1),(533,1),(536,1),(551,1),(552,1)}
       516:{1,2,5,6}:{(485,1),(486,1),(497,1),(532,1),(534,1),(536,1)}
       517:{1,2,3,5}:{(486,1),(487,1),(535,1),(537,1)}
       518:{3,5,7}:{(488,1),(489,1),(490,1)}
       519:{1,3,6,7}:{(491,1),(492,1),(496,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(533,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(535,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(538,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(518,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(512,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(515,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{1,4,7}:{(512,1),(513,1),(515,1)}
       534:{1,2,4,6}:{(513,1),(514,1),(516,1),(521,1),(547,1),(548,1)}
       535:{1,3,5}:{(514,1),(522,1),(548,1),(549,1)}
       536:{1,2,5,7}:{(515,1),(516,1),(523,1),(546,1),(547,1)}
       537:{1,2,4}:{(517,1),(549,1)}
       538:{2,6,7}:{(519,1),(523,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(533,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(536,1),(538,1)}
       547:{1,2,4,7}:{(533,1),(534,1),(536,1),(539,1),(552,1)}
       548:{1,3,6}:{(534,1),(535,1),(540,1),(552,1)}
       549:{1,3,4}:{(535,1),(537,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

1910 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1911 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1912 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1913 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

1914 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(12,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(43,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(28,1),(63,1),(64,1),(92,1),(137,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(23,1),(25,1),(138,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(63,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(32,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(76,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(41,1),(46,1),(89,1),(154,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(40,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(41,1),(43,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(42,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(89,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(50,1),(52,1),(56,1)}
        33:{1,2,5}:{(18,1),(51,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(58,1),(61,1),(109,1),(140,1)}
        37:{2,3,5}:{(21,1),(24,1),(51,1),(57,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(24,1),(57,1),(63,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(64,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(28,1),(59,1),(63,1),(64,1),(65,1),(113,1),(137,1),(164,1)}
        43:{1,2,6}:{(25,1),(64,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(65,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(63,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(74,1),(79,1),(121,1),(124,1)}
        51:{1,3,5}:{(31,1),(33,1),(37,1),(73,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(74,1),(76,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(75,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(37,1),(40,1),(73,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(41,1),(74,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(42,1),(75,1),(82,1),(83,1),(84,1),(85,1),(119,1),(127,1),(131,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(41,1),(81,1),(88,1),(89,1),(135,1)}
        63:{1,4,6}:{(40,1),(42,1),(82,1),(89,1)}
        64:{1,3,6}:{(41,1),(43,1),(83,1),(88,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(46,1),(84,1),(89,1),(90,1),(135,1),(154,1),(171,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(89,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(99,1),(139,1)}
        73:{1,4,5}:{(51,1),(57,1),(99,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(52,1),(58,1),(98,1),(100,1)}
        75:{1,3,5,6}:{(51,1),(53,1),(55,1),(59,1),(96,1),(99,1),(100,1),(101,1),(103,1),(144,1)}
        76:{1,2,6}:{(52,1),(100,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(101,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1),(109,1),(151,1)}
        82:{2,4,6}:{(57,1),(59,1),(63,1),(99,1),(106,1),(109,1)}
        83:{2,3,6}:{(58,1),(64,1),(100,1),(108,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(65,1),(101,1),(109,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(63,1),(67,1),(107,1),(112,1),(113,1),(164,1)}
        88:{1,4,6}:{(62,1),(64,1),(108,1),(113,1)}
        89:{1,4,7}:{(63,1),(65,1),(109,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(114,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(124,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(74,1),(81,1),(123,1),(124,1),(159,1)}
        99:{1,4,6}:{(73,1),(75,1),(82,1),(124,1)}
       100:{1,3,6}:{(74,1),(76,1),(83,1),(123,1)}
       101:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(121,1),(124,1),(125,1),(126,1),(159,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(127,1),(129,1)}
       107:{2,4,5,6}:{(82,1),(85,1),(87,1),(122,1),(127,1),(130,1),(131,1),(155,1),(161,1)}
       108:{2,4,6}:{(81,1),(83,1),(88,1),(123,1),(128,1),(131,1)}
       109:{2,4,7}:{(82,1),(84,1),(89,1),(124,1),(129,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(132,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(89,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,5,6}:{(88,1),(131,1),(135,1)}
       114:{1,4,6,7}:{(88,1),(89,1),(90,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(99,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(99,1),(103,1),(107,1),(141,1),(143,1),(144,1)}
       123:{1,4,6}:{(98,1),(100,1),(108,1),(144,1)}
       124:{1,4,7}:{(99,1),(101,1),(109,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(145,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(106,1),(107,1),(147,1)}
       128:{3,4,6}:{(105,1),(108,1),(148,1)}
       129:{3,4,7}:{(106,1),(109,1),(147,1)}
       130:{2,4,5,7}:{(107,1),(109,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,5,6}:{(108,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,4,6,7}:{(108,1),(109,1),(110,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(124,1),(129,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(124,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(131,1),(159,1)}
       145:{1,4,6,7}:{(123,1),(124,1),(125,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(129,1),(130,1),(160,1)}
       148:{3,5,6}:{(128,1),(131,1),(161,1),(162,1)}
       149:{3,4,6,7}:{(128,1),(129,1),(132,1),(160,1),(162,1),(173,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(162,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{4,5,6}:{(148,1),(170,1)}
       162:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(162,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

1915 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

1916 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(81,1),(84,1),(147,1),(212,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(23,1),(60,1),(101,1),(113,1),(186,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(108,1),(248,1),(314,1),(324,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(58,1),(63,1),(101,1),(239,1),(240,1),(308,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(38,1),(40,1),(82,1),(135,1),(212,1),(213,1),(285,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(35,1),(38,1),(78,1),(147,1),(211,1),(224,1),(280,1),(288,1),(290,1)}
         6:{1,2,5,7}:{(1,1),(10,1),(12,1),(133,1),(224,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(14,1),(140,1),(285,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(87,1),(133,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(58,1),(94,1),(101,1),(193,1),(194,1),(266,1)}
        10:{1,3,5,7}:{(4,1),(6,1),(8,1),(17,1),(18,1),(19,1),(171,1),(251,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(20,1),(21,1),(106,1),(249,1),(323,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(23,1),(100,1),(113,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1),(51,1)}
        14:{1,3,4,7}:{(7,1),(21,1),(24,1),(25,1),(324,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(58,1),(62,1),(100,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(308,1),(309,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(125,1),(133,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(12,1),(15,1),(29,1),(32,1),(38,1),(82,1),(134,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(285,1),(286,1)}
        20:{1,2,4,5}:{(11,1),(35,1),(76,1),(224,1),(286,1)}
        21:{1,3,4,6}:{(11,1),(14,1),(35,1),(36,1),(38,1),(290,1),(291,1)}
        22:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(133,1),(146,1),(205,1),(210,1),(226,1),(270,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(32,1),(38,1),(73,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(35,1),(38,1),(39,1)}
        25:{2,3,4,7}:{(14,1),(36,1),(39,1),(40,1),(140,1),(292,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(42,1),(81,1),(87,1),(133,1),(270,1),(273,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(87,1),(336,1),(337,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(58,1),(93,1),(100,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(266,1),(267,1)}
        31:{1,3,5,6,7}:{(18,1),(22,1),(26,1),(45,1),(49,1),(57,1),(99,1),(112,1),(171,1),(248,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(24,1),(28,1),(47,1),(50,1),(51,1),(52,1),(99,1),(105,1)}
        34:{1,2,4,5,6}:{(20,1),(23,1),(48,1),(53,1),(54,1),(100,1),(106,1),(170,1),(172,1),(190,1),(236,1),(245,1),(249,1),(252,1)}
        35:{1,3,5}:{(20,1),(21,1),(55,1)}
        36:{2,3,4,6}:{(21,1),(25,1),(55,1),(56,1),(58,1),(106,1),(255,1),(256,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(49,1),(53,1),(57,1),(101,1),(242,1),(262,1),(304,1),(311,1)}
        38:{1,3,6}:{(23,1),(24,1),(58,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(51,1),(55,1),(58,1),(59,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(179,1),(257,1)}
        41:{2,4,5,6}:{(27,1),(48,1),(61,1),(62,1),(100,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(49,1),(61,1),(63,1),(308,1)}
        43:{3,4,6}:{(27,1),(28,1),(62,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(104,1),(118,1),(165,1),(176,1),(308,1),(309,1),(361,1),(369,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(67,1),(81,1),(125,1),(133,1),(226,1),(229,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(125,1),(300,1),(301,1)}
        48:{1,4,5,6}:{(32,1),(41,1),(66,1),(70,1),(71,1),(134,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(42,1),(67,1),(70,1),(285,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(38,1),(43,1),(68,1),(71,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(39,1),(73,1),(74,1),(76,1),(133,1),(140,1)}
        52:{1,3,4,5}:{(35,1),(75,1),(76,1),(286,1),(301,1),(337,1)}
        53:{1,2,4,5,7}:{(34,1),(37,1),(70,1),(77,1),(133,1),(140,1),(208,1),(210,1),(227,1),(271,1),(281,1),(285,1),(289,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(38,1),(75,1),(77,1),(78,1),(228,1),(272,1),(290,1)}
        55:{2,3,5}:{(35,1),(36,1),(76,1),(79,1)}
        56:{1,3,4,6}:{(36,1),(40,1),(79,1),(80,1),(82,1),(141,1),(219,1),(220,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(77,1),(81,1),(298,1),(334,1)}
        58:{2,3,6}:{(38,1),(39,1),(73,1),(82,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(74,1),(79,1),(82,1),(83,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(87,1),(133,1)}
        62:{3,5,6}:{(41,1),(43,1),(87,1)}
        63:{3,4,6,7}:{(42,1),(43,1),(87,1),(334,1),(336,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(88,1),(90,1),(202,1),(274,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(139,1),(153,1),(215,1),(285,1),(286,1),(300,1),(301,1),(382,1)}
        66:{2,4,5,6}:{(46,1),(48,1),(92,1),(93,1),(100,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(49,1),(92,1),(94,1),(266,1)}
        68:{3,4,6}:{(46,1),(47,1),(93,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(104,1),(122,1),(161,1),(176,1),(266,1),(267,1),(332,1),(369,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(99,1),(171,1)}
        71:{1,3,5,6}:{(48,1),(50,1),(62,1),(93,1),(99,1),(100,1)}
        72:{1,3,4,6,7}:{(49,1),(50,1),(57,1),(63,1),(94,1),(99,1),(101,1),(105,1)}
        73:{2,4,6}:{(50,1),(51,1),(58,1),(100,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(59,1),(102,1),(107,1),(171,1),(179,1)}
        75:{1,3,4,6}:{(52,1),(54,1),(105,1),(106,1),(249,1),(265,1),(307,1)}
        76:{2,4,5}:{(52,1),(55,1),(106,1),(107,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(57,1),(105,1),(108,1),(264,1),(306,1),(324,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(100,1),(106,1),(108,1),(109,1),(245,1),(255,1)}
        79:{1,3,5}:{(55,1),(56,1),(107,1),(110,1)}
        80:{1,2,4,6}:{(56,1),(60,1),(110,1),(111,1),(113,1),(184,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(101,1),(108,1),(112,1),(311,1)}
        82:{1,3,6}:{(58,1),(59,1),(102,1),(113,1)}
        83:{1,2,5,7}:{(59,1),(60,1),(110,1),(113,1)}
        84:{1,2,3,7}:{(60,1),(111,1),(257,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,4,5,6}:{(62,1),(116,1),(117,1),(307,1),(386,1)}
        87:{3,5,7}:{(61,1),(62,1),(63,1)}
        88:{2,3,5,6}:{(62,1),(64,1),(100,1),(117,1),(118,1),(119,1),(386,1),(388,1)}
        89:{2,3,4,6,7}:{(63,1),(64,1),(101,1),(118,1),(120,1),(176,1),(187,1),(239,1),(241,1),(308,1),(359,1),(364,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(119,1),(121,1),(174,1),(249,1),(265,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(178,1),(191,1),(254,1),(266,1),(267,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(125,1),(133,1)}
        93:{3,5,6}:{(66,1),(68,1),(125,1)}
        94:{3,4,6,7}:{(67,1),(68,1),(125,1),(298,1),(300,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(126,1),(128,1),(156,1),(230,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(139,1),(199,1),(215,1),(285,1),(286,1),(336,1),(337,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,4,5,6}:{(71,1),(75,1),(86,1),(124,1),(131,1),(132,1),(152,1),(198,1),(207,1),(228,1),(272,1),(284,1),(381,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(72,1),(87,1),(125,1),(133,1)}
       100:{2,5,6}:{(71,1),(73,1),(133,1),(134,1)}
       101:{2,4,6,7}:{(72,1),(73,1),(81,1),(133,1),(135,1),(140,1)}
       102:{1,4,6}:{(73,1),(74,1),(82,1),(134,1)}
       103:{1,2,4,5,7}:{(74,1),(83,1),(91,1),(129,1),(136,1),(137,1),(142,1),(148,1),(210,1),(214,1),(218,1),(224,1),(285,1),(286,1),(289,1),(382,1),(384,1)}
       104:{2,3,4,5}:{(76,1),(138,1),(139,1),(217,1),(301,1),(337,1),(347,1)}
       105:{1,3,4,7}:{(75,1),(77,1),(140,1),(285,1),(300,1),(336,1)}
       106:{2,4,6}:{(75,1),(76,1),(78,1),(140,1),(141,1)}
       107:{1,4,5}:{(76,1),(79,1),(141,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(81,1),(133,1),(140,1),(143,1),(281,1),(292,1)}
       109:{1,3,5,6}:{(78,1),(79,1),(82,1),(134,1),(141,1),(143,1),(144,1),(219,1)}
       110:{1,2,5}:{(79,1),(80,1)}
       111:{1,2,3,6}:{(80,1),(84,1),(145,1),(219,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(135,1),(143,1),(146,1)}
       113:{1,2,6}:{(82,1),(83,1)}
       114:{1,2,3,5,7}:{(83,1),(84,1),(137,1),(145,1),(147,1),(148,1),(224,1),(288,1),(350,1),(384,1)}
       115:{3,5,6,7}:{(85,1),(87,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(87,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,4,5,6}:{(86,1),(88,1),(151,1),(152,1),(274,1)}
       118:{2,3,5,7}:{(87,1),(88,1),(89,1),(133,1),(151,1),(153,1),(376,1),(380,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(134,1),(152,1),(153,1),(154,1),(228,1),(391,1)}
       120:{1,3,4,6,7}:{(89,1),(90,1),(135,1),(153,1),(155,1),(212,1),(215,1),(225,1),(277,1),(285,1),(298,1),(300,1),(379,1)}
       121:{2,4,6}:{(90,1),(91,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(217,1),(232,1),(292,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,4,5,6}:{(93,1),(159,1),(160,1),(265,1),(375,1)}
       125:{3,5,7}:{(92,1),(93,1),(94,1)}
       126:{2,3,5,6}:{(93,1),(95,1),(100,1),(160,1),(161,1),(162,1),(375,1),(388,1)}
       127:{2,3,4,6,7}:{(94,1),(95,1),(101,1),(161,1),(163,1),(176,1),(193,1),(233,1),(241,1),(266,1),(330,1),(364,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(162,1),(164,1),(174,1),(249,1),(307,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(178,1),(237,1),(254,1),(308,1),(309,1)}
       130:{1,3,5,6,7}:{(97,1),(99,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(99,1),(105,1),(116,1),(159,1),(166,1),(169,1),(189,1),(235,1),(244,1),(264,1),(306,1),(318,1),(365,1)}
       132:{2,4,5,6}:{(98,1),(100,1),(106,1),(168,1),(169,1),(170,1),(245,1),(317,1),(388,1)}
       133:{2,5,7}:{(99,1),(100,1),(101,1),(171,1)}
       134:{1,5,6}:{(100,1),(102,1),(171,1)}
       135:{1,4,6,7}:{(101,1),(102,1),(112,1),(171,1),(179,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(113,1),(121,1),(164,1),(172,1),(174,1),(249,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(181,1),(251,1),(253,1),(257,1),(324,1)}
       138:{2,3,4,6}:{(104,1),(106,1),(168,1),(176,1),(177,1),(255,1),(265,1),(307,1),(317,1)}
       139:{1,3,4,5}:{(104,1),(107,1),(177,1),(178,1),(181,1),(253,1),(368,1)}
       140:{2,4,7}:{(105,1),(106,1),(108,1),(179,1)}
       141:{1,4,6}:{(106,1),(107,1),(109,1),(179,1)}
       142:{1,2,4,5}:{(107,1),(110,1),(178,1),(180,1),(181,1),(184,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(112,1),(171,1),(179,1),(182,1),(257,1)}
       144:{1,2,5,6}:{(109,1),(110,1),(113,1),(180,1),(182,1),(245,1)}
       145:{1,2,3,5}:{(110,1),(111,1),(181,1),(184,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(182,1),(311,1)}
       147:{1,2,3,6}:{(113,1),(114,1),(174,1),(186,1),(390,1)}
       148:{1,2,4,7}:{(114,1),(175,1),(184,1),(186,1),(323,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(118,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(118,1),(187,1),(189,1),(308,1)}
       152:{1,4,5,6}:{(117,1),(119,1),(189,1),(190,1),(249,1)}
       153:{1,3,5,7}:{(118,1),(119,1),(120,1),(171,1),(189,1),(191,1),(264,1),(387,1)}
       154:{2,5,6}:{(119,1),(121,1),(191,1)}
       155:{2,4,6,7}:{(120,1),(121,1),(191,1),(193,1),(254,1),(266,1),(311,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(256,1),(266,1)}
       158:{3,5,6,7}:{(123,1),(125,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(125,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,4,5,6}:{(124,1),(126,1),(197,1),(198,1),(230,1)}
       161:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(197,1),(199,1),(356,1),(380,1)}
       162:{1,3,5,6}:{(126,1),(128,1),(134,1),(198,1),(199,1),(200,1),(272,1),(391,1)}
       163:{1,3,4,6,7}:{(127,1),(128,1),(135,1),(199,1),(201,1),(212,1),(215,1),(269,1),(277,1),(285,1),(334,1),(336,1),(379,1)}
       164:{2,4,6}:{(128,1),(129,1),(200,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(217,1),(276,1),(292,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(204,1),(205,1),(380,1)}
       168:{2,3,5,6}:{(132,1),(138,1),(206,1),(207,1),(228,1),(272,1)}
       169:{2,4,5,7}:{(131,1),(132,1),(133,1),(140,1),(204,1),(206,1),(208,1),(281,1),(346,1),(380,1)}
       170:{1,4,5,6}:{(132,1),(134,1),(141,1),(207,1),(208,1),(345,1),(391,1)}
       171:{1,5,7}:{(133,1),(134,1),(135,1)}
       172:{1,2,5,6}:{(134,1),(136,1),(154,1),(200,1),(210,1),(211,1),(224,1),(391,1)}
       173:{1,2,4,6,7}:{(135,1),(136,1),(146,1),(155,1),(201,1),(210,1),(212,1),(218,1),(285,1),(289,1),(340,1),(379,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(148,1),(157,1),(203,1),(213,1),(220,1),(285,1),(291,1)}
       176:{2,3,4,7}:{(138,1),(140,1),(206,1),(215,1),(292,1),(300,1),(336,1),(346,1)}
       177:{1,3,4,6}:{(138,1),(139,1),(141,1),(207,1),(215,1),(216,1),(219,1),(290,1),(345,1)}
       178:{2,4,5}:{(139,1),(216,1),(217,1)}
       179:{1,4,7}:{(140,1),(141,1),(143,1)}
       180:{1,2,4,6}:{(141,1),(142,1),(144,1),(216,1),(218,1),(219,1)}
       181:{1,3,5}:{(142,1),(217,1),(219,1),(220,1)}
       182:{1,2,5,7}:{(143,1),(144,1),(146,1),(218,1),(281,1)}
       183:{1,2,3,5,6}:{(144,1),(145,1),(147,1),(211,1),(219,1),(221,1),(222,1),(224,1),(282,1),(295,1),(297,1),(355,1)}
       184:{1,2,4}:{(145,1),(220,1)}
       185:{1,2,3,6,7}:{(146,1),(147,1),(212,1),(221,1),(223,1),(341,1),(350,1),(355,1)}
       186:{1,2,4,6}:{(147,1),(148,1),(213,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(153,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(225,1),(227,1),(285,1)}
       190:{2,4,5,6}:{(152,1),(154,1),(227,1),(228,1),(230,1)}
       191:{2,5,7}:{(153,1),(154,1),(155,1)}
       192:{2,3,5,6}:{(154,1),(156,1),(211,1),(228,1),(229,1),(230,1),(232,1)}
       193:{2,3,6,7}:{(155,1),(156,1),(212,1),(229,1),(292,1),(298,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(230,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(161,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(161,1),(233,1),(235,1),(266,1)}
       198:{1,4,5,6}:{(160,1),(162,1),(235,1),(236,1),(249,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(235,1),(237,1),(306,1),(387,1)}
       200:{2,5,6}:{(162,1),(164,1),(237,1)}
       201:{2,4,6,7}:{(163,1),(164,1),(237,1),(239,1),(254,1),(308,1),(311,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(256,1),(308,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(169,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(171,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(169,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,3,5,6}:{(168,1),(170,1),(177,1),(244,1),(245,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(242,1),(244,1),(367,1),(387,1)}
       209:{1,2,4,5,6}:{(170,1),(172,1),(180,1),(190,1),(236,1),(245,1),(246,1),(247,1),(249,1),(260,1),(317,1),(329,1),(366,1),(388,1)}
       210:{1,2,5,7}:{(171,1),(172,1),(173,1),(191,1),(237,1),(248,1),(387,1)}
       211:{1,3,5,6}:{(172,1),(174,1),(192,1),(238,1),(248,1),(249,1),(251,1)}
       212:{1,3,6,7}:{(173,1),(174,1),(193,1),(239,1),(248,1),(257,1),(324,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(186,1),(194,1),(240,1),(249,1),(251,1)}
       214:{1,2,4,5}:{(178,1),(252,1),(253,1),(323,1),(368,1),(372,1)}
       215:{1,3,4,7}:{(176,1),(177,1),(179,1),(244,1),(254,1),(257,1),(324,1),(367,1)}
       216:{2,4,6}:{(177,1),(178,1),(245,1),(254,1),(255,1)}
       217:{2,3,5}:{(178,1),(181,1),(253,1),(255,1),(256,1)}
       218:{1,2,4,7}:{(179,1),(180,1),(182,1),(254,1),(257,1)}
       219:{1,3,6}:{(180,1),(181,1),(255,1),(257,1)}
       220:{1,3,4}:{(181,1),(184,1),(256,1)}
       221:{1,2,3,5,7}:{(182,1),(183,1),(185,1),(248,1),(257,1),(259,1),(261,1),(316,1),(328,1)}
       222:{1,2,4,6}:{(183,1),(184,1),(249,1),(258,1),(259,1),(260,1),(317,1)}
       223:{1,2,4,6,7}:{(185,1),(186,1),(250,1),(259,1),(261,1),(329,1),(364,1),(371,1),(390,1)}
       224:{1,2,5}:{(186,1),(251,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(191,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(191,1),(262,1),(264,1),(266,1)}
       228:{3,5,6}:{(190,1),(264,1),(265,1)}
       229:{2,3,5,7}:{(191,1),(192,1),(193,1),(248,1),(264,1),(266,1)}
       230:{2,4,6}:{(192,1),(249,1),(265,1),(266,1),(267,1)}
       231:{2,3,4,6,7}:{(193,1),(194,1),(250,1),(266,1),(268,1),(326,1),(330,1),(333,1),(364,1),(374,1)}
       232:{2,3,5}:{(194,1),(251,1),(267,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(199,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(269,1),(271,1),(285,1)}
       236:{2,4,5,6}:{(198,1),(200,1),(271,1),(272,1),(274,1)}
       237:{2,5,7}:{(199,1),(200,1),(201,1)}
       238:{2,3,5,6}:{(200,1),(202,1),(211,1),(272,1),(273,1),(274,1),(276,1)}
       239:{2,3,6,7}:{(201,1),(202,1),(212,1),(273,1),(292,1),(334,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(274,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(208,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(210,1),(226,1),(270,1),(278,1),(279,1),(297,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(208,1),(215,1),(277,1),(281,1)}
       245:{2,5,6}:{(207,1),(216,1),(281,1)}
       246:{1,2,4,5,7}:{(208,1),(209,1),(210,1),(218,1),(227,1),(271,1),(278,1),(281,1),(283,1),(285,1),(343,1),(346,1),(380,1)}
       247:{1,3,5,6}:{(209,1),(219,1),(228,1),(272,1),(282,1),(283,1),(284,1),(295,1),(355,1)}
       248:{1,3,5,7}:{(210,1),(211,1),(212,1),(229,1),(273,1),(285,1)}
       249:{1,4,6}:{(211,1),(230,1),(274,1),(285,1),(286,1)}
       250:{1,3,4,6,7}:{(212,1),(213,1),(223,1),(231,1),(275,1),(285,1),(287,1),(294,1),(349,1),(352,1),(355,1),(379,1),(385,1)}
       251:{1,3,5}:{(213,1),(224,1),(232,1),(276,1),(286,1)}
       252:{1,2,4,6}:{(214,1),(216,1),(280,1),(289,1),(290,1),(345,1)}
       253:{1,3,5}:{(214,1),(217,1),(290,1),(291,1)}
       254:{2,4,7}:{(215,1),(216,1),(281,1),(292,1)}
       255:{2,3,6}:{(216,1),(217,1),(219,1),(290,1),(292,1)}
       256:{2,3,4}:{(217,1),(220,1),(291,1)}
       257:{1,3,7}:{(218,1),(219,1),(292,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(222,1),(293,1),(294,1),(295,1),(355,1)}
       259:{1,2,4,7}:{(221,1),(222,1),(285,1),(294,1),(346,1)}
       260:{1,2,4,5}:{(222,1),(224,1),(286,1),(295,1),(347,1)}
       261:{1,2,5,7}:{(223,1),(224,1),(287,1),(297,1),(380,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(229,1),(279,1),(298,1),(299,1),(303,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(228,1),(298,1),(300,1)}
       265:{3,4,6}:{(228,1),(230,1),(300,1),(301,1)}
       266:{2,4,7}:{(229,1),(230,1),(285,1),(300,1)}
       267:{2,4,5}:{(230,1),(232,1),(286,1),(301,1)}
       268:{2,3,5,7}:{(231,1),(232,1),(287,1),(302,1),(303,1),(356,1),(380,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(237,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(237,1),(304,1),(306,1),(308,1)}
       272:{3,5,6}:{(236,1),(306,1),(307,1)}
       273:{2,3,5,7}:{(237,1),(238,1),(239,1),(248,1),(306,1),(308,1)}
       274:{2,4,6}:{(238,1),(249,1),(307,1),(308,1),(309,1)}
       275:{2,3,4,6,7}:{(239,1),(240,1),(250,1),(308,1),(310,1),(326,1),(359,1),(362,1),(364,1),(374,1)}
       276:{2,3,5}:{(240,1),(251,1),(309,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(246,1),(262,1),(304,1),(311,1),(312,1),(313,1),(329,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(248,1),(263,1),(305,1),(312,1),(313,1),(321,1),(363,1),(365,1),(387,1)}
       280:{1,2,5,6}:{(245,1),(252,1),(314,1),(315,1),(372,1),(390,1)}
       281:{2,5,7}:{(244,1),(245,1),(254,1),(311,1)}
       282:{2,3,5,6}:{(245,1),(247,1),(255,1),(315,1),(316,1),(317,1),(327,1),(374,1),(388,1)}
       283:{1,3,5,7}:{(246,1),(247,1),(257,1),(264,1),(306,1),(312,1),(316,1),(318,1)}
       284:{1,3,4,6}:{(247,1),(249,1),(265,1),(307,1),(317,1),(318,1),(319,1)}
       285:{1,4,7}:{(248,1),(249,1),(266,1),(308,1)}
       286:{1,4,5}:{(249,1),(251,1),(267,1),(309,1)}
       287:{1,3,5,7}:{(250,1),(251,1),(261,1),(268,1),(310,1),(320,1),(321,1),(387,1)}
       288:{1,2,3,5}:{(253,1),(322,1),(323,1),(372,1)}
       289:{1,2,4,7}:{(252,1),(254,1),(314,1),(324,1),(367,1)}
       290:{1,3,6}:{(252,1),(253,1),(255,1),(324,1)}
       291:{1,3,4}:{(253,1),(256,1),(323,1)}
       292:{2,3,7}:{(254,1),(255,1),(257,1),(324,1)}
       293:{2,3,4,6}:{(255,1),(256,1),(258,1),(317,1),(325,1),(326,1),(327,1),(374,1)}
       294:{1,3,4,7}:{(257,1),(258,1),(259,1),(326,1),(328,1)}
       295:{1,3,5}:{(258,1),(260,1),(327,1)}
       296:{1,2,4,5,7}:{(259,1),(260,1),(261,1),(320,1),(328,1),(329,1),(369,1)}
       297:{1,2,5,6}:{(261,1),(321,1),(329,1),(388,1),(390,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(266,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(266,1)}
       301:{3,4,5}:{(265,1),(267,1)}
       302:{2,4,5,7}:{(266,1),(267,1),(268,1),(320,1),(332,1),(333,1)}
       303:{2,3,5,6}:{(268,1),(321,1),(333,1),(374,1),(375,1),(388,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(273,1),(279,1),(334,1),(335,1),(339,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(272,1),(334,1),(336,1)}
       307:{3,4,6}:{(272,1),(274,1),(336,1),(337,1)}
       308:{2,4,7}:{(273,1),(274,1),(285,1),(336,1)}
       309:{2,4,5}:{(274,1),(276,1),(286,1),(337,1)}
       310:{2,3,5,7}:{(275,1),(276,1),(287,1),(338,1),(339,1),(376,1),(380,1)}
       311:{2,6,7}:{(277,1),(281,1)}
       312:{1,3,6,7}:{(278,1),(283,1),(298,1),(334,1),(341,1),(355,1)}
       313:{1,4,6,7}:{(279,1),(285,1),(299,1),(335,1),(343,1),(349,1)}
       314:{1,2,5,7}:{(280,1),(281,1),(289,1),(340,1),(344,1)}
       315:{1,3,5,6}:{(280,1),(282,1),(290,1),(344,1),(345,1),(353,1),(385,1),(391,1)}
       316:{2,3,5,7}:{(281,1),(282,1),(283,1),(292,1),(341,1),(344,1),(346,1),(380,1)}
       317:{2,4,6}:{(282,1),(284,1),(345,1),(346,1),(347,1)}
       318:{1,3,4,7}:{(283,1),(284,1),(285,1),(300,1),(336,1),(346,1)}
       319:{1,3,4,5}:{(284,1),(286,1),(295,1),(301,1),(337,1),(347,1)}
       320:{1,4,5,7}:{(285,1),(286,1),(287,1),(302,1),(338,1),(349,1)}
       321:{1,3,5,6}:{(287,1),(297,1),(303,1),(339,1),(349,1),(355,1),(385,1),(391,1)}
       322:{1,2,3,6}:{(288,1),(290,1),(350,1),(351,1)}
       323:{1,2,4}:{(288,1),(291,1)}
       324:{1,3,7}:{(289,1),(290,1),(292,1)}
       325:{1,3,4,6}:{(290,1),(291,1),(293,1),(345,1),(351,1),(352,1),(353,1),(385,1)}
       326:{2,3,4,7}:{(292,1),(293,1),(294,1),(346,1),(352,1),(354,1)}
       327:{2,3,5}:{(293,1),(295,1),(347,1),(353,1)}
       328:{1,3,5,7}:{(294,1),(295,1),(296,1),(354,1),(355,1)}
       329:{1,2,4,6}:{(296,1),(297,1),(349,1),(355,1),(383,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(302,1),(356,1),(358,1)}
       333:{2,4,6}:{(302,1),(303,1),(349,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(308,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(308,1)}
       337:{3,4,5}:{(307,1),(309,1)}
       338:{2,4,5,7}:{(308,1),(309,1),(310,1),(320,1),(361,1),(362,1)}
       339:{2,3,5,6}:{(310,1),(321,1),(362,1),(374,1),(386,1),(388,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(316,1),(363,1),(364,1),(374,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(330,1),(359,1),(364,1),(365,1),(370,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(316,1),(324,1),(363,1),(367,1),(387,1)}
       345:{1,4,6}:{(315,1),(317,1),(367,1),(368,1)}
       346:{2,4,7}:{(316,1),(317,1),(318,1),(367,1)}
       347:{2,4,5}:{(317,1),(319,1),(327,1),(368,1)}
       348:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(328,1),(332,1),(361,1),(365,1),(369,1),(370,1)}
       349:{1,4,6}:{(320,1),(321,1),(333,1),(362,1)}
       350:{1,2,3,7}:{(322,1),(324,1),(371,1)}
       351:{1,2,4,6}:{(322,1),(323,1),(325,1),(371,1),(372,1),(390,1)}
       352:{1,3,4,7}:{(324,1),(325,1),(326,1),(367,1),(371,1),(373,1)}
       353:{1,3,5}:{(325,1),(327,1),(368,1),(372,1)}
       354:{2,3,5,7}:{(326,1),(327,1),(328,1),(369,1),(373,1),(374,1)}
       355:{1,3,6}:{(328,1),(329,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(338,1),(376,1),(378,1)}
       362:{2,4,6}:{(338,1),(339,1),(349,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(346,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(349,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(346,1)}
       368:{1,4,5}:{(345,1),(347,1),(353,1)}
       369:{2,4,5,7}:{(346,1),(347,1),(348,1),(354,1),(380,1),(382,1),(383,1)}
       370:{1,3,4,6}:{(348,1),(349,1),(355,1),(358,1),(378,1),(381,1),(383,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(352,1),(384,1)}
       372:{1,2,5}:{(351,1),(353,1)}
       373:{1,3,5,7}:{(352,1),(353,1),(354,1),(382,1),(384,1),(385,1)}
       374:{2,3,6}:{(354,1),(355,1),(383,1),(385,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(370,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(369,1),(373,1),(387,1),(389,1)}
       383:{2,4,6}:{(369,1),(370,1),(374,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(373,1),(390,1)}
       385:{1,3,6}:{(373,1),(374,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1917 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(26,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(68,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(31,1),(64,1)}
         4:{2,3,4,6}:{(6,1),(9,1),(10,1),(25,1),(35,1),(36,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,3,4,6}:{(3,1),(4,1),(11,1),(13,1),(15,1),(16,1),(41,1),(45,1),(48,1),(49,1),(86,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(15,1),(17,1),(87,1)}
         8:{1,2,5}:{(3,1),(16,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(20,1),(56,1),(89,1)}
        10:{2,3,5}:{(4,1),(16,1),(19,1)}
        11:{2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(60,1),(61,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(9,1),(22,1),(29,1),(68,1),(71,1),(107,1)}
        16:{1,3,5}:{(6,1),(8,1),(10,1),(23,1),(28,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(29,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(30,1),(31,1),(32,1),(64,1),(108,1)}
        19:{2,4,5}:{(10,1),(28,1),(33,1),(35,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(29,1),(34,1),(36,1)}
        21:{2,3,5,6}:{(10,1),(30,1),(35,1),(36,1),(37,1),(66,1),(73,1),(77,1),(108,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(39,1),(83,1),(89,1)}
        23:{2,3,5}:{(11,1),(16,1),(38,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(18,1),(45,1),(46,1),(48,1),(88,1)}
        28:{1,4,5}:{(16,1),(19,1),(38,1),(48,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(17,1),(20,1),(39,1),(47,1),(49,1)}
        30:{1,3,5,6}:{(16,1),(18,1),(21,1),(40,1),(45,1),(48,1),(49,1),(50,1),(86,1),(93,1),(122,1)}
        31:{1,2,6}:{(17,1),(49,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(50,1),(51,1),(87,1),(124,1)}
        33:{3,4,5}:{(19,1),(53,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(47,1),(52,1),(55,1),(56,1),(99,1)}
        35:{2,4,6}:{(19,1),(21,1),(48,1),(53,1),(56,1)}
        36:{2,3,6}:{(20,1),(49,1),(55,1)}
        37:{2,3,5,7}:{(21,1),(50,1),(56,1),(57,1),(89,1),(95,1),(99,1),(124,1)}
        38:{2,4,5}:{(23,1),(28,1),(58,1),(60,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(29,1),(59,1),(61,1)}
        40:{2,3,5,6}:{(23,1),(30,1),(60,1),(61,1),(62,1),(66,1),(100,1),(104,1),(108,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(28,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(32,1),(68,1),(71,1),(109,1)}
        47:{1,4,5,7}:{(28,1),(29,1),(34,1),(59,1),(70,1),(71,1),(112,1)}
        48:{1,4,6}:{(28,1),(30,1),(35,1),(60,1),(71,1)}
        49:{1,3,6}:{(29,1),(31,1),(36,1),(61,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(37,1),(62,1),(68,1),(71,1),(72,1),(107,1),(112,1),(133,1)}
        51:{1,2,6,7}:{(31,1),(32,1),(72,1),(134,1)}
        52:{3,4,5,7}:{(33,1),(34,1),(74,1),(75,1),(115,1)}
        53:{3,4,6}:{(33,1),(35,1),(73,1),(75,1)}
        54:{2,4,5,6}:{(35,1),(69,1),(73,1),(76,1),(77,1),(108,1),(114,1)}
        55:{2,4,6}:{(34,1),(36,1),(70,1),(74,1),(77,1)}
        56:{2,4,7}:{(35,1),(37,1),(71,1),(75,1)}
        57:{2,3,6,7}:{(36,1),(37,1),(72,1),(78,1),(113,1),(134,1)}
        58:{3,4,5}:{(38,1),(80,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(47,1),(79,1),(82,1),(83,1),(121,1)}
        60:{2,4,6}:{(38,1),(40,1),(48,1),(80,1),(83,1)}
        61:{2,3,6}:{(39,1),(49,1),(82,1)}
        62:{2,3,5,7}:{(40,1),(50,1),(83,1),(84,1),(89,1),(117,1),(121,1),(124,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(48,1),(53,1),(80,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,5,6}:{(48,1),(54,1),(81,1),(90,1),(92,1),(93,1),(122,1)}
        70:{1,4,6}:{(47,1),(49,1),(55,1),(82,1),(93,1)}
        71:{1,4,7}:{(48,1),(50,1),(56,1),(83,1)}
        72:{1,3,6,7}:{(49,1),(50,1),(51,1),(57,1),(84,1),(94,1),(138,1)}
        73:{3,5,6}:{(53,1),(54,1),(95,1)}
        74:{3,4,6}:{(52,1),(55,1),(96,1)}
        75:{3,4,7}:{(53,1),(56,1),(95,1)}
        76:{2,4,5,7}:{(54,1),(56,1),(92,1),(95,1),(98,1),(99,1),(124,1),(128,1)}
        77:{2,5,6}:{(55,1),(93,1),(96,1),(99,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(57,1),(94,1),(97,1),(99,1)}
        79:{3,4,5,7}:{(58,1),(59,1),(101,1),(102,1),(131,1)}
        80:{3,4,6}:{(58,1),(60,1),(100,1),(102,1)}
        81:{2,4,5,6}:{(60,1),(69,1),(100,1),(103,1),(104,1),(108,1),(130,1)}
        82:{2,4,6}:{(59,1),(61,1),(70,1),(101,1),(104,1)}
        83:{2,4,7}:{(60,1),(62,1),(71,1),(102,1)}
        84:{2,3,6,7}:{(61,1),(62,1),(72,1),(105,1),(129,1),(134,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(69,1),(73,1),(100,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(71,1),(75,1),(102,1),(109,1),(110,1)}
        92:{1,4,5,7}:{(69,1),(71,1),(76,1),(103,1),(110,1),(111,1),(112,1),(133,1)}
        93:{1,5,6}:{(70,1),(77,1),(104,1),(112,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(72,1),(78,1),(105,1),(112,1)}
        95:{3,5,7}:{(73,1),(75,1),(76,1),(113,1)}
        96:{3,5,6}:{(74,1),(77,1),(114,1),(115,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(78,1),(113,1),(115,1),(135,1)}
        98:{2,4,6,7}:{(76,1),(111,1),(113,1),(116,1),(134,1),(135,1)}
        99:{2,5,7}:{(77,1),(78,1),(112,1),(115,1)}
       100:{3,5,6}:{(80,1),(81,1),(117,1)}
       101:{3,4,6}:{(79,1),(82,1),(118,1)}
       102:{3,4,7}:{(80,1),(83,1),(117,1)}
       103:{2,4,5,7}:{(81,1),(83,1),(92,1),(117,1),(120,1),(121,1),(124,1),(137,1)}
       104:{2,5,6}:{(82,1),(93,1),(118,1),(121,1)}
       105:{2,4,6,7}:{(82,1),(83,1),(84,1),(94,1),(119,1),(121,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(92,1),(95,1),(117,1),(124,1),(125,1)}
       111:{1,4,6,7}:{(92,1),(98,1),(120,1),(125,1),(126,1),(138,1)}
       112:{1,5,7}:{(93,1),(94,1),(99,1),(121,1)}
       113:{3,6,7}:{(95,1),(98,1)}
       114:{4,5,6}:{(96,1),(128,1)}
       115:{3,5,7}:{(96,1),(97,1),(99,1),(128,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(127,1)}
       117:{3,5,7}:{(100,1),(102,1),(103,1),(129,1)}
       118:{3,5,6}:{(101,1),(104,1),(130,1),(131,1)}
       119:{3,4,6,7}:{(101,1),(102,1),(105,1),(129,1),(131,1),(139,1)}
       120:{2,4,6,7}:{(103,1),(111,1),(129,1),(132,1),(134,1),(139,1)}
       121:{2,5,7}:{(104,1),(105,1),(112,1),(131,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(111,1),(113,1),(129,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{3,5,6,7}:{(113,1),(115,1),(116,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(117,1),(120,1)}
       130:{4,5,6}:{(118,1),(137,1)}
       131:{3,5,7}:{(118,1),(119,1),(121,1),(137,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(136,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(131,1),(132,1),(139,1)}
       137:{4,5,7}:{(130,1),(131,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1918 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(60,1),(63,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(81,1),(85,1),(123,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1),(41,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(82,1),(122,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(11,1),(17,1),(18,1),(40,1),(48,1),(84,1)}
         9:{2,3,5,7}:{(3,1),(12,1),(16,1),(17,1),(18,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(20,1),(97,1),(106,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(8,1),(19,1),(22,1),(23,1),(24,1),(58,1),(61,1),(63,1),(105,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(9,1),(20,1),(21,1),(22,1),(23,1)}
        13:{1,2,4}:{(5,1),(24,1)}
        14:{1,2,5}:{(6,1),(22,1)}
        15:{1,2,6}:{(7,1),(23,1)}
        16:{2,4,5,7}:{(9,1),(21,1),(28,1),(29,1),(30,1),(68,1),(70,1)}
        17:{2,3,5}:{(8,1),(22,1),(30,1)}
        18:{2,3,6}:{(9,1),(23,1),(29,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(34,1),(35,1),(40,1),(75,1),(84,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(33,1),(34,1),(35,1)}
        21:{1,4,5,7}:{(12,1),(16,1),(33,1),(36,1),(37,1),(78,1),(81,1)}
        22:{1,3,5}:{(11,1),(14,1),(17,1),(34,1),(37,1)}
        23:{1,3,6}:{(12,1),(15,1),(18,1),(35,1),(36,1)}
        24:{1,3,4}:{(13,1),(40,1),(41,1)}
        25:{1,2,4,5}:{(13,1),(14,1),(37,1),(41,1),(42,1),(79,1)}
        26:{1,2,5,6}:{(14,1),(15,1),(38,1),(42,1),(43,1),(118,1),(122,1)}
        27:{1,2,6,7}:{(15,1),(39,1),(43,1),(137,1)}
        28:{3,4,5,7}:{(16,1),(44,1),(47,1),(87,1),(91,1)}
        29:{2,4,6}:{(16,1),(18,1),(36,1),(44,1),(45,1)}
        30:{2,4,5}:{(17,1),(37,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(38,1),(45,1),(48,1),(49,1),(84,1),(89,1),(118,1)}
        32:{2,3,6,7}:{(18,1),(39,1),(46,1),(49,1),(125,1),(137,1)}
        33:{2,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(52,1),(95,1),(97,1)}
        34:{2,3,5}:{(19,1),(22,1),(52,1)}
        35:{2,3,6}:{(20,1),(23,1),(51,1)}
        36:{1,4,6}:{(21,1),(23,1),(29,1),(51,1),(55,1)}
        37:{1,4,5}:{(22,1),(30,1),(52,1),(58,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(26,1),(31,1),(53,1),(55,1),(58,1),(59,1),(63,1),(105,1),(131,1)}
        39:{1,3,6,7}:{(23,1),(27,1),(32,1),(54,1),(56,1),(59,1),(139,1)}
        40:{2,3,4}:{(24,1),(61,1),(62,1)}
        41:{1,3,5}:{(24,1),(25,1),(62,1),(63,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(58,1),(63,1),(64,1),(102,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(59,1),(64,1),(132,1),(134,1)}
        44:{3,4,6}:{(28,1),(29,1),(65,1)}
        45:{2,5,6}:{(29,1),(55,1),(65,1),(68,1)}
        46:{2,4,6,7}:{(29,1),(32,1),(56,1),(66,1),(68,1),(70,1)}
        47:{3,4,5}:{(30,1),(69,1)}
        48:{2,4,6}:{(30,1),(31,1),(58,1),(69,1),(70,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(59,1),(68,1),(70,1),(106,1),(110,1),(132,1)}
        50:{3,4,5,7}:{(33,1),(71,1),(74,1),(112,1),(116,1)}
        51:{2,4,6}:{(33,1),(35,1),(36,1),(71,1),(72,1)}
        52:{2,4,5}:{(34,1),(37,1),(74,1),(75,1)}
        53:{2,3,5,6}:{(34,1),(35,1),(38,1),(72,1),(75,1),(76,1),(84,1),(114,1),(118,1)}
        54:{2,3,6,7}:{(35,1),(39,1),(73,1),(76,1),(136,1),(137,1)}
        55:{1,5,6}:{(36,1),(45,1),(72,1),(78,1)}
        56:{1,4,6,7}:{(36,1),(39,1),(46,1),(73,1),(78,1),(81,1)}
        57:{1,3,4,5}:{(37,1),(41,1),(47,1),(74,1),(79,1),(80,1)}
        58:{1,4,6}:{(37,1),(38,1),(48,1),(75,1),(81,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(43,1),(49,1),(76,1),(78,1),(81,1),(85,1),(123,1),(138,1)}
        60:{1,2,3}:{(82,1)}
        61:{1,3,4}:{(40,1),(82,1),(83,1)}
        62:{2,3,5}:{(40,1),(41,1),(79,1),(83,1),(84,1)}
        63:{1,3,6}:{(41,1),(42,1),(84,1),(85,1)}
        64:{1,2,4,7}:{(42,1),(43,1),(81,1),(85,1),(121,1)}
        65:{3,5,6}:{(44,1),(45,1),(86,1),(87,1)}
        66:{3,4,6,7}:{(44,1),(46,1),(87,1),(91,1),(124,1),(125,1)}
        67:{2,4,5,6}:{(45,1),(48,1),(77,1),(86,1),(89,1),(90,1),(118,1)}
        68:{2,5,7}:{(45,1),(46,1),(78,1),(87,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(91,1)}
        70:{2,4,7}:{(48,1),(49,1),(81,1),(91,1)}
        71:{3,4,6}:{(50,1),(51,1),(92,1)}
        72:{2,5,6}:{(51,1),(55,1),(92,1),(95,1)}
        73:{2,4,6,7}:{(51,1),(54,1),(56,1),(93,1),(95,1),(97,1)}
        74:{3,4,5}:{(52,1),(96,1)}
        75:{2,4,6}:{(52,1),(53,1),(58,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(53,1),(54,1),(59,1),(95,1),(97,1),(106,1),(129,1),(132,1)}
        77:{1,4,5,6}:{(55,1),(58,1),(67,1),(94,1),(99,1),(100,1),(131,1)}
        78:{1,5,7}:{(55,1),(56,1),(68,1),(95,1)}
        79:{2,4,5}:{(57,1),(62,1),(101,1),(102,1)}
        80:{1,3,4,6}:{(57,1),(58,1),(63,1),(69,1),(96,1),(99,1),(102,1),(103,1)}
        81:{1,4,7}:{(58,1),(59,1),(70,1),(97,1)}
        82:{1,2,4}:{(60,1),(61,1),(104,1)}
        83:{1,3,5}:{(61,1),(62,1),(101,1),(104,1),(105,1)}
        84:{2,3,6}:{(62,1),(63,1),(102,1),(105,1),(106,1)}
        85:{1,3,7}:{(63,1),(64,1),(106,1)}
        86:{4,5,6}:{(65,1),(108,1)}
        87:{3,5,7}:{(65,1),(66,1),(68,1),(108,1)}
        88:{2,5,6,7}:{(68,1),(98,1),(107,1),(109,1)}
        89:{3,5,6}:{(67,1),(69,1),(110,1)}
        90:{2,4,5,7}:{(67,1),(68,1),(70,1),(100,1),(108,1),(109,1),(110,1),(132,1)}
        91:{3,4,7}:{(69,1),(70,1),(110,1)}
        92:{3,5,6}:{(71,1),(72,1),(111,1),(112,1)}
        93:{3,4,6,7}:{(71,1),(73,1),(112,1),(116,1),(135,1),(136,1)}
        94:{2,4,5,6}:{(72,1),(75,1),(77,1),(111,1),(114,1),(115,1),(118,1)}
        95:{2,5,7}:{(72,1),(73,1),(78,1),(112,1)}
        96:{3,4,6}:{(74,1),(75,1),(114,1),(116,1)}
        97:{2,4,7}:{(75,1),(76,1),(81,1),(116,1)}
        98:{1,5,6,7}:{(78,1),(88,1),(113,1),(117,1)}
        99:{1,3,5,6}:{(77,1),(80,1),(89,1),(114,1),(118,1),(119,1)}
       100:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(115,1),(117,1),(119,1),(138,1)}
       101:{1,4,5}:{(79,1),(83,1),(120,1)}
       102:{2,4,6}:{(79,1),(80,1),(84,1),(118,1),(120,1),(121,1)}
       103:{1,3,4,7}:{(80,1),(81,1),(85,1),(91,1),(116,1),(119,1),(121,1)}
       104:{1,2,5}:{(82,1),(83,1),(122,1)}
       105:{1,3,6}:{(83,1),(84,1),(120,1),(122,1),(123,1)}
       106:{2,3,7}:{(84,1),(85,1),(121,1),(123,1)}
       107:{3,5,6,7}:{(87,1),(88,1),(124,1),(125,1)}
       108:{4,5,7}:{(86,1),(87,1),(124,1)}
       109:{2,4,6,7}:{(88,1),(90,1),(117,1),(124,1),(125,1),(137,1)}
       110:{3,5,7}:{(89,1),(90,1),(91,1),(125,1)}
       111:{4,5,6}:{(92,1),(127,1)}
       112:{3,5,7}:{(92,1),(93,1),(95,1),(127,1)}
       113:{2,5,6,7}:{(95,1),(98,1),(126,1),(128,1)}
       114:{3,5,6}:{(94,1),(96,1),(129,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(97,1),(100,1),(127,1),(128,1),(129,1),(132,1)}
       116:{3,4,7}:{(96,1),(97,1),(129,1)}
       117:{1,4,6,7}:{(98,1),(100,1),(109,1),(128,1),(130,1),(139,1)}
       118:{2,5,6}:{(99,1),(102,1),(131,1),(132,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(103,1),(110,1),(129,1),(130,1),(132,1)}
       120:{1,4,6}:{(101,1),(102,1),(105,1),(131,1),(133,1)}
       121:{2,4,7}:{(102,1),(103,1),(106,1),(132,1),(133,1)}
       122:{1,2,6}:{(104,1),(105,1),(134,1)}
       123:{1,3,7}:{(105,1),(106,1),(133,1),(134,1)}
       124:{4,6,7}:{(107,1),(108,1)}
       125:{3,6,7}:{(109,1),(110,1)}
       126:{3,5,6,7}:{(112,1),(113,1),(135,1),(136,1)}
       127:{4,5,7}:{(111,1),(112,1),(135,1)}
       128:{2,4,6,7}:{(113,1),(115,1),(117,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(114,1),(115,1),(116,1),(136,1)}
       130:{1,3,6,7}:{(117,1),(119,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(118,1),(120,1),(138,1)}
       132:{2,5,7}:{(118,1),(119,1),(121,1),(137,1),(138,1)}
       133:{1,4,7}:{(120,1),(121,1),(123,1),(138,1)}
       134:{1,2,7}:{(122,1),(123,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1919 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
        4:{1,2,5}:{(1,1),(7,1),(8,1)}
        5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
        6:{2,3,4}:{(3,1),(11,1)}
        7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
        8:{1,2,6}:{(4,1),(13,1),(14,1)}
        9:{2,4,5}:{(5,1),(12,1),(15,1),(16,1)}
       10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1)}
       11:{2,3,5}:{(6,1),(7,1),(18,1),(19,1)}
       12:{1,4,5}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,3,6}:{(7,1),(8,1),(10,1),(19,1),(20,1),(21,1)}
       14:{1,2,7}:{(8,1),(21,1)}
       15:{3,4,5}:{(9,1),(22,1)}
       16:{2,4,6}:{(9,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       17:{2,3,7}:{(10,1),(21,1),(24,1)}
       18:{2,4,5}:{(11,1),(12,1),(25,1),(26,1)}
       19:{2,3,6}:{(11,1),(13,1),(26,1),(27,1)}
       20:{1,4,6}:{(12,1),(13,1),(16,1),(26,1),(28,1),(29,1)}
       21:{1,3,7}:{(13,1),(14,1),(17,1),(27,1),(29,1)}
       22:{3,4,6}:{(15,1),(16,1),(30,1),(31,1)}
       23:{2,5,6}:{(16,1),(28,1),(30,1),(32,1)}
       24:{2,4,7}:{(16,1),(17,1),(29,1),(31,1),(32,1)}
       25:{3,4,5}:{(18,1),(33,1)}
       26:{2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1),(35,1)}
       27:{2,3,7}:{(19,1),(21,1),(35,1)}
       28:{1,5,6}:{(20,1),(23,1),(34,1),(36,1)}
       29:{1,4,7}:{(20,1),(21,1),(24,1),(35,1),(36,1)}
       30:{3,5,6}:{(22,1),(23,1),(37,1),(38,1)}
       31:{3,4,7}:{(22,1),(24,1),(38,1)}
       32:{2,5,7}:{(23,1),(24,1),(36,1),(38,1),(39,1)}
       33:{3,4,6}:{(25,1),(26,1),(40,1),(41,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       36:{1,5,7}:{(28,1),(29,1),(32,1),(42,1),(43,1)}
       37:{4,5,6}:{(30,1),(44,1)}
       38:{3,5,7}:{(30,1),(31,1),(32,1),(44,1),(45,1)}
       39:{2,6,7}:{(32,1),(43,1),(45,1)}
       40:{3,5,6}:{(33,1),(34,1),(46,1),(47,1)}
       41:{3,4,7}:{(33,1),(35,1),(47,1)}
       42:{2,5,7}:{(34,1),(35,1),(36,1),(47,1),(48,1)}
       43:{1,6,7}:{(36,1),(39,1),(48,1)}
       44:{4,5,7}:{(37,1),(38,1),(49,1)}
       45:{3,6,7}:{(38,1),(39,1),(49,1)}
       46:{4,5,6}:{(40,1),(50,1)}
       47:{3,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{2,6,7}:{(42,1),(43,1),(51,1)}
       49:{4,6,7}:{(44,1),(45,1),(52,1)}
       50:{4,5,7}:{(46,1),(47,1),(53,1)}
       51:{3,6,7}:{(47,1),(48,1),(53,1)}
       52:{5,6,7}:{(49,1)}
       53:{4,6,7}:{(50,1),(51,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1920 :   0:{2,3,4,5,7}:{(1,1),(2,1),(16,1),(35,1),(161,1),(163,1),(189,1),(192,1),(242,1),(256,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(22,1),(30,1),(135,1),(137,1),(149,1),(151,1),(231,1),(234,1),(296,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(7,1),(59,1),(125,1),(282,1),(295,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(12,1),(39,1),(110,1),(112,1),(188,1),(243,1),(246,1),(256,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(51,1),(110,1),(112,1),(272,1),(276,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(13,1),(15,1),(42,1),(101,1),(113,1),(331,1)}
         6:{2,3,4,6,7}:{(2,1),(14,1),(16,1),(56,1),(89,1),(163,1),(192,1),(195,1),(245,1),(259,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(16,1),(17,1),(318,1),(330,1)}
         8:{1,3,4,5,7}:{(3,1),(18,1),(19,1),(22,1),(62,1),(135,1),(137,1),(202,1),(204,1),(284,1),(287,1),(296,1)}
         9:{2,3,4,6}:{(3,1),(19,1),(21,1),(27,1),(79,1),(229,1),(295,1)}
        10:{1,2,4,5,7}:{(4,1),(18,1),(22,1),(23,1),(24,1),(70,1),(73,1),(135,1),(137,1),(296,1),(297,1),(300,1),(304,1)}
        11:{1,2,3,5,7}:{(22,1),(24,1),(25,1),(73,1),(304,1),(305,1),(306,1)}
        12:{2,3,5,7}:{(4,1),(22,1),(26,1),(27,1),(77,1),(311,1),(315,1)}
        13:{2,4,6}:{(4,1),(5,1),(27,1),(29,1)}
        14:{1,3,4,6,7}:{(5,1),(6,1),(28,1),(30,1),(68,1),(83,1),(137,1),(151,1),(154,1),(234,1),(238,1),(299,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(82,1),(360,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(30,1),(33,1),(285,1),(298,1)}
        17:{2,4,5,6}:{(7,1),(31,1),(33,1),(34,1),(125,1)}
        18:{2,4,5,7}:{(8,1),(35,1),(36,1),(91,1),(161,1),(163,1),(321,1),(325,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(36,1),(38,1),(42,1),(101,1),(164,1),(331,1)}
        20:{2,3,4,6,7}:{(9,1),(37,1),(39,1),(49,1),(96,1),(112,1),(191,1),(246,1),(249,1),(259,1)}
        21:{2,3,5,6}:{(9,1),(38,1),(39,1),(40,1),(269,1),(330,1)}
        22:{1,3,5,7}:{(10,1),(12,1),(35,1),(41,1),(42,1),(99,1),(333,1),(336,1)}
        23:{1,2,4,6}:{(10,1),(13,1),(36,1),(42,1),(44,1),(101,1),(331,1),(337,1)}
        24:{1,2,4,7}:{(11,1),(41,1),(45,1),(339,1)}
        25:{1,2,3,6}:{(11,1),(42,1),(45,1),(337,1)}
        26:{2,3,4,7}:{(12,1),(41,1),(48,1),(112,1),(344,1)}
        27:{2,3,6}:{(12,1),(13,1),(42,1)}
        28:{2,4,6,7}:{(13,1),(14,1),(49,1),(51,1),(112,1),(276,1),(280,1)}
        29:{2,5,6}:{(13,1),(15,1),(51,1)}
        30:{1,3,5,7}:{(14,1),(15,1),(16,1),(51,1),(54,1),(115,1),(334,1)}
        31:{1,4,5,6}:{(15,1),(17,1),(52,1),(54,1),(101,1)}
        32:{2,3,5,6,7}:{(16,1),(53,1),(56,1),(121,1),(195,1),(198,1)}
        33:{2,4,5,7}:{(16,1),(17,1),(54,1),(56,1),(57,1),(163,1)}
        34:{3,4,5,6}:{(17,1),(57,1),(164,1),(318,1)}
        35:{2,3,5,7}:{(18,1),(22,1),(58,1),(59,1),(123,1),(353,1),(357,1)}
        36:{2,4,6}:{(18,1),(19,1),(59,1),(61,1)}
        37:{1,3,4,6,7}:{(19,1),(20,1),(60,1),(62,1),(68,1),(129,1),(137,1),(204,1),(207,1),(287,1),(291,1),(299,1)}
        38:{1,3,5,6}:{(19,1),(21,1),(61,1),(62,1),(63,1),(128,1),(360,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(62,1),(65,1),(232,1),(298,1)}
        40:{2,4,5,6}:{(21,1),(63,1),(65,1),(66,1),(79,1)}
        41:{1,3,4,7}:{(22,1),(24,1),(26,1),(58,1),(67,1),(137,1),(363,1)}
        42:{1,3,6}:{(22,1),(23,1),(27,1),(59,1)}
        43:{1,2,4,6,7}:{(23,1),(28,1),(60,1),(68,1),(70,1),(137,1),(299,1),(300,1),(302,1)}
        44:{1,2,5,6}:{(23,1),(29,1),(61,1),(69,1),(70,1),(73,1),(360,1)}
        45:{1,2,4,6}:{(24,1),(25,1),(67,1),(73,1)}
        46:{1,2,3,6,7}:{(25,1),(68,1),(72,1),(74,1),(220,1),(223,1),(302,1),(306,1),(365,1),(366,1)}
        47:{1,2,3,5,6}:{(25,1),(69,1),(73,1),(74,1),(75,1),(141,1),(142,1),(144,1),(222,1),(223,1),(301,1),(305,1),(366,1),(401,1),(404,1)}
        48:{2,3,4,6}:{(26,1),(27,1),(67,1),(77,1),(79,1)}
        49:{2,3,6,7}:{(27,1),(28,1),(68,1),(78,1),(154,1),(315,1)}
        50:{2,3,5,6}:{(27,1),(29,1),(69,1),(77,1),(78,1),(79,1),(82,1)}
        51:{2,5,7}:{(28,1),(29,1),(30,1)}
        52:{2,4,5,6}:{(29,1),(31,1),(79,1),(81,1),(82,1)}
        53:{1,3,5,6,7}:{(30,1),(32,1),(80,1),(83,1),(154,1),(238,1),(240,1)}
        54:{1,4,5,7}:{(30,1),(31,1),(33,1),(81,1),(83,1),(137,1)}
        55:{1,3,4,5,6}:{(31,1),(34,1),(82,1),(84,1),(85,1),(138,1),(156,1),(294,1),(307,1),(368,1),(405,1)}
        56:{2,4,6,7}:{(32,1),(33,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(33,1),(34,1),(87,1),(204,1),(285,1)}
        58:{2,3,4,7}:{(35,1),(41,1),(88,1),(163,1),(379,1)}
        59:{2,3,6}:{(35,1),(36,1),(42,1)}
        60:{2,4,6,7}:{(36,1),(37,1),(89,1),(91,1),(163,1),(325,1),(329,1)}
        61:{2,5,6}:{(36,1),(38,1),(91,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(39,1),(91,1),(94,1),(166,1),(334,1)}
        63:{1,4,5,6}:{(38,1),(40,1),(92,1),(94,1),(101,1)}
        64:{2,3,5,6,7}:{(39,1),(93,1),(96,1),(172,1),(249,1),(252,1)}
        65:{2,4,5,7}:{(39,1),(40,1),(94,1),(96,1),(97,1),(112,1)}
        66:{3,4,5,6}:{(40,1),(97,1),(113,1),(269,1)}
        67:{1,3,4,6}:{(41,1),(42,1),(45,1),(48,1),(88,1),(99,1),(101,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(49,1),(89,1),(100,1),(336,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(50,1),(90,1),(99,1),(100,1),(101,1)}
        70:{1,2,5,7}:{(43,1),(44,1),(51,1),(91,1),(100,1),(334,1)}
        71:{1,2,4,5,6}:{(44,1),(52,1),(92,1),(101,1),(103,1),(104,1),(106,1),(120,1),(171,1),(178,1),(182,1),(197,1),(251,1),(254,1),(261,1),(330,1),(384,1),(389,1),(409,1),(414,1)}
        72:{1,2,4,6,7}:{(45,1),(46,1),(98,1),(105,1),(107,1),(182,1),(259,1),(267,1),(337,1),(388,1)}
        73:{1,2,5}:{(45,1),(99,1)}
        74:{1,2,3,5,7}:{(46,1),(47,1),(100,1),(105,1),(107,1),(180,1),(183,1),(263,1),(336,1),(387,1)}
        75:{1,2,4,6}:{(47,1),(101,1),(106,1),(107,1),(108,1),(178,1),(339,1),(414,1)}
        76:{2,3,4,6,7}:{(48,1),(49,1),(98,1),(109,1),(112,1),(185,1),(187,1),(191,1),(259,1),(264,1),(382,1),(411,1),(413,1)}
        77:{2,3,5}:{(48,1),(99,1),(110,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(51,1),(100,1),(112,1),(115,1)}
        79:{2,4,6}:{(50,1),(101,1),(110,1),(112,1),(113,1)}
        80:{2,5,6,7}:{(51,1),(53,1),(114,1),(280,1)}
        81:{2,4,5,7}:{(51,1),(52,1),(54,1),(112,1),(114,1),(115,1)}
        82:{3,5,6}:{(52,1),(113,1),(115,1)}
        83:{1,4,6,7}:{(53,1),(54,1),(56,1),(114,1)}
        84:{1,3,4,5,7}:{(54,1),(55,1),(57,1),(115,1),(118,1),(119,1),(177,1),(196,1),(258,1),(273,1),(345,1),(392,1)}
        85:{2,4,5,6}:{(55,1),(116,1),(119,1),(120,1),(178,1),(197,1),(330,1)}
        86:{2,4,5,6,7}:{(56,1),(117,1),(121,1),(198,1),(244,1),(348,1)}
        87:{3,4,6,7}:{(56,1),(57,1),(121,1)}
        88:{2,3,4,6}:{(58,1),(59,1),(67,1),(123,1),(125,1)}
        89:{2,3,6,7}:{(59,1),(60,1),(68,1),(124,1),(207,1),(357,1)}
        90:{2,3,5,6}:{(59,1),(61,1),(69,1),(123,1),(124,1),(125,1),(128,1)}
        91:{2,5,7}:{(60,1),(61,1),(62,1)}
        92:{2,4,5,6}:{(61,1),(63,1),(125,1),(127,1),(128,1)}
        93:{1,3,5,6,7}:{(62,1),(64,1),(126,1),(129,1),(207,1),(291,1),(293,1)}
        94:{1,4,5,7}:{(62,1),(63,1),(65,1),(127,1),(129,1),(137,1)}
        95:{1,3,4,5,6}:{(63,1),(66,1),(128,1),(130,1),(131,1),(138,1),(209,1),(294,1),(349,1),(394,1),(418,1)}
        96:{2,4,6,7}:{(64,1),(65,1),(129,1),(133,1)}
        97:{3,4,5,7}:{(65,1),(66,1),(133,1),(151,1),(232,1)}
        98:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(76,1),(122,1),(134,1),(137,1),(145,1),(213,1),(223,1),(226,1),(299,1),(303,1),(365,1),(402,1),(403,1)}
        99:{1,3,5}:{(67,1),(73,1),(77,1),(123,1),(135,1)}
       100:{1,3,5,7}:{(68,1),(69,1),(70,1),(78,1),(124,1),(137,1)}
       101:{1,4,6}:{(69,1),(79,1),(125,1),(135,1),(137,1)}
       102:{1,2,5,6,7}:{(70,1),(80,1),(126,1),(136,1),(139,1),(142,1),(240,1),(293,1),(298,1),(302,1),(317,1),(359,1),(364,1)}
       103:{1,2,4,5,7}:{(70,1),(71,1),(81,1),(127,1),(137,1),(139,1),(140,1),(159,1),(212,1),(216,1),(218,1),(239,1),(292,1),(298,1),(300,1),(364,1),(372,1),(398,1),(403,1)}
       104:{1,3,5,6}:{(71,1),(82,1),(128,1),(138,1),(140,1),(141,1),(144,1),(223,1),(301,1),(405,1),(418,1)}
       105:{1,2,5,7}:{(72,1),(73,1),(134,1),(142,1),(298,1),(404,1)}
       106:{1,2,4,5}:{(73,1),(75,1),(135,1),(144,1),(215,1),(404,1),(422,1)}
       107:{1,2,4,7}:{(74,1),(75,1),(137,1),(145,1),(218,1),(403,1)}
       108:{1,3,4,6}:{(75,1),(144,1),(145,1),(146,1),(223,1),(301,1),(363,1)}
       109:{2,3,5,7}:{(76,1),(77,1),(134,1),(147,1),(148,1),(232,1),(298,1),(420,1)}
       110:{2,4,5}:{(77,1),(79,1),(135,1),(149,1)}
       111:{2,3,5,6,7}:{(78,1),(80,1),(136,1),(147,1),(150,1),(154,1),(220,1),(232,1),(298,1),(359,1),(399,1),(400,1)}
       112:{2,4,7}:{(78,1),(79,1),(137,1),(151,1)}
       113:{3,4,6}:{(79,1),(82,1),(149,1),(151,1)}
       114:{2,4,6,7}:{(80,1),(81,1),(83,1),(154,1)}
       115:{3,5,7}:{(81,1),(82,1),(151,1),(154,1)}
       116:{2,3,5,6}:{(82,1),(85,1),(152,1),(155,1),(156,1),(405,1)}
       117:{1,4,5,6,7}:{(83,1),(86,1),(153,1),(157,1),(216,1),(240,1),(316,1)}
       118:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(154,1),(157,1),(158,1),(236,1),(238,1),(316,1),(374,1)}
       119:{2,4,5,7}:{(84,1),(85,1),(155,1),(158,1),(159,1),(218,1),(239,1),(298,1)}
       120:{1,4,5,6}:{(85,1),(156,1),(159,1),(219,1),(360,1)}
       121:{3,5,6,7}:{(86,1),(87,1),(285,1),(374,1)}
       122:{2,3,4,6,7}:{(88,1),(89,1),(98,1),(160,1),(163,1),(185,1),(241,1),(245,1),(259,1),(264,1),(347,1),(391,1),(393,1)}
       123:{2,3,5}:{(88,1),(99,1),(161,1)}
       124:{2,3,5,7}:{(89,1),(90,1),(91,1),(100,1),(163,1),(166,1)}
       125:{2,4,6}:{(90,1),(101,1),(161,1),(163,1),(164,1)}
       126:{2,5,6,7}:{(91,1),(93,1),(165,1),(329,1)}
       127:{2,4,5,7}:{(91,1),(92,1),(94,1),(163,1),(165,1),(166,1)}
       128:{3,5,6}:{(92,1),(164,1),(166,1)}
       129:{1,4,6,7}:{(93,1),(94,1),(96,1),(165,1)}
       130:{1,3,4,5,7}:{(94,1),(95,1),(97,1),(166,1),(169,1),(170,1),(177,1),(250,1),(258,1),(322,1),(380,1),(412,1)}
       131:{2,4,5,6}:{(95,1),(167,1),(170,1),(171,1),(178,1),(251,1),(330,1)}
       132:{2,4,5,6,7}:{(96,1),(168,1),(172,1),(190,1),(252,1),(383,1)}
       133:{3,4,6,7}:{(96,1),(97,1),(172,1)}
       134:{1,3,5,7}:{(98,1),(99,1),(105,1),(109,1),(160,1),(173,1),(174,1),(334,1),(415,1)}
       135:{1,4,5}:{(99,1),(101,1),(110,1),(161,1)}
       136:{1,3,5,6,7}:{(100,1),(102,1),(111,1),(162,1),(173,1),(176,1),(179,1),(258,1),(262,1),(334,1),(387,1)}
       137:{1,4,7}:{(100,1),(101,1),(112,1),(163,1)}
       138:{1,3,4,6}:{(101,1),(104,1),(113,1),(164,1),(175,1),(177,1),(178,1),(414,1),(416,1),(424,1)}
       139:{1,2,4,6,7}:{(102,1),(103,1),(114,1),(165,1),(176,1),(179,1),(182,1),(199,1),(253,1),(259,1),(280,1),(329,1),(348,1),(383,1)}
       140:{1,3,5,7}:{(103,1),(104,1),(115,1),(166,1),(177,1),(179,1),(180,1),(336,1),(392,1),(412,1)}
       141:{2,3,5,6}:{(104,1),(178,1),(180,1),(181,1),(184,1),(197,1),(251,1),(264,1),(277,1),(326,1),(330,1)}
       142:{1,2,5,6}:{(105,1),(173,1),(182,1),(330,1),(337,1)}
       143:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(174,1),(182,1),(183,1),(256,1)}
       144:{1,3,5}:{(106,1),(108,1),(184,1)}
       145:{1,3,4,7}:{(107,1),(108,1),(183,1),(185,1),(336,1)}
       146:{2,3,4,6}:{(108,1),(178,1),(184,1),(185,1),(186,1),(264,1),(277,1),(326,1),(344,1),(379,1)}
       147:{2,3,5,6}:{(109,1),(173,1),(187,1),(264,1),(269,1),(330,1)}
       148:{2,4,5,7}:{(109,1),(110,1),(112,1),(174,1),(187,1),(188,1),(413,1),(425,1)}
       149:{3,4,5}:{(110,1),(113,1)}
       150:{2,4,6,7}:{(111,1),(112,1),(176,1),(187,1),(190,1),(191,1),(413,1)}
       151:{3,4,7}:{(112,1),(113,1),(115,1)}
       152:{2,3,4,6}:{(113,1),(116,1),(178,1),(189,1),(192,1),(193,1),(326,1),(416,1)}
       153:{2,4,5,6,7}:{(114,1),(117,1),(190,1),(194,1),(198,1),(278,1)}
       154:{3,6,7}:{(114,1),(115,1)}
       155:{2,3,5,7}:{(115,1),(116,1),(119,1),(192,1),(195,1),(196,1),(392,1)}
       156:{1,3,5,6}:{(116,1),(120,1),(193,1),(196,1),(197,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(121,1),(194,1),(198,1),(258,1)}
       158:{2,4,6,7}:{(118,1),(119,1),(195,1),(198,1),(199,1),(280,1)}
       159:{1,4,5,7}:{(119,1),(120,1),(196,1),(199,1),(260,1),(334,1)}
       160:{2,3,5,7}:{(122,1),(123,1),(134,1),(200,1),(201,1),(285,1),(298,1),(407,1)}
       161:{2,4,5}:{(123,1),(125,1),(135,1),(202,1)}
       162:{2,3,5,6,7}:{(124,1),(126,1),(136,1),(200,1),(203,1),(207,1),(220,1),(285,1),(298,1),(317,1),(373,1),(374,1)}
       163:{2,4,7}:{(124,1),(125,1),(137,1),(204,1)}
       164:{3,4,6}:{(125,1),(128,1),(202,1),(204,1)}
       165:{2,4,6,7}:{(126,1),(127,1),(129,1),(207,1)}
       166:{3,5,7}:{(127,1),(128,1),(204,1),(207,1)}
       167:{2,3,5,6}:{(128,1),(131,1),(205,1),(208,1),(209,1),(418,1)}
       168:{1,4,5,6,7}:{(129,1),(132,1),(206,1),(210,1),(216,1),(293,1),(358,1)}
       169:{1,3,4,6,7}:{(129,1),(130,1),(133,1),(207,1),(210,1),(211,1),(289,1),(291,1),(358,1),(400,1)}
       170:{2,4,5,7}:{(130,1),(131,1),(208,1),(211,1),(212,1),(218,1),(292,1),(298,1)}
       171:{1,4,5,6}:{(131,1),(209,1),(212,1),(219,1),(360,1)}
       172:{3,5,6,7}:{(132,1),(133,1),(232,1),(400,1)}
       173:{1,3,5,6}:{(134,1),(142,1),(147,1),(200,1),(213,1),(223,1),(303,1),(360,1)}
       174:{1,4,5,7}:{(134,1),(135,1),(137,1),(148,1),(201,1),(213,1),(403,1),(422,1)}
       175:{1,3,4,5}:{(135,1),(138,1),(144,1),(149,1),(202,1),(215,1),(422,1),(423,1),(426,1)}
       176:{1,4,6,7}:{(136,1),(137,1),(150,1),(203,1),(213,1),(216,1),(403,1)}
       177:{1,3,4,7}:{(137,1),(138,1),(140,1),(151,1),(204,1),(218,1),(403,1),(408,1),(421,1)}
       178:{2,4,6}:{(138,1),(141,1),(215,1),(218,1),(219,1)}
       179:{1,3,6,7}:{(139,1),(140,1),(154,1),(207,1),(220,1),(223,1),(374,1),(400,1)}
       180:{2,3,5,7}:{(140,1),(141,1),(218,1),(220,1),(221,1),(239,1),(292,1),(298,1),(315,1),(357,1)}
       181:{1,3,5,6}:{(141,1),(219,1),(221,1),(222,1),(225,1),(301,1),(303,1),(360,1)}
       182:{1,2,4,6}:{(142,1),(143,1),(213,1),(223,1),(295,1)}
       183:{1,3,5,7}:{(143,1),(144,1),(145,1),(223,1),(224,1)}
       184:{2,3,5}:{(144,1),(146,1),(215,1),(225,1)}
       185:{2,3,4,7}:{(145,1),(146,1),(218,1),(224,1),(226,1),(315,1),(357,1)}
       186:{1,3,4,6}:{(146,1),(219,1),(225,1),(226,1),(227,1),(301,1),(303,1),(363,1)}
       187:{2,4,6}:{(147,1),(148,1),(213,1),(229,1)}
       188:{3,4,5,7}:{(148,1),(149,1),(151,1),(229,1),(232,1),(421,1),(426,1)}
       189:{2,3,4,5}:{(149,1),(152,1),(215,1),(231,1),(353,1),(423,1)}
       190:{2,4,5,7}:{(150,1),(216,1),(228,1),(232,1),(298,1)}
       191:{3,4,6,7}:{(150,1),(151,1),(154,1),(229,1),(232,1),(400,1),(421,1)}
       192:{2,3,4,7}:{(151,1),(152,1),(155,1),(218,1),(234,1),(357,1),(408,1)}
       193:{1,3,4,6}:{(152,1),(156,1),(219,1),(231,1),(234,1),(235,1),(301,1)}
       194:{3,5,6,7}:{(153,1),(154,1),(232,1),(236,1)}
       195:{2,3,6,7}:{(154,1),(155,1),(158,1),(238,1),(374,1)}
       196:{1,3,5,7}:{(155,1),(156,1),(159,1),(234,1),(238,1),(239,1)}
       197:{2,5,6}:{(156,1),(235,1),(239,1)}
       198:{2,5,6,7}:{(157,1),(158,1),(240,1),(298,1)}
       199:{1,4,6,7}:{(158,1),(159,1),(238,1),(240,1)}
       200:{2,3,5,6}:{(160,1),(173,1),(241,1),(264,1),(318,1),(330,1)}
       201:{2,4,5,7}:{(160,1),(161,1),(163,1),(174,1),(241,1),(242,1),(393,1),(417,1)}
       202:{3,4,5}:{(161,1),(164,1)}
       203:{2,4,6,7}:{(162,1),(163,1),(176,1),(241,1),(244,1),(245,1),(393,1)}
       204:{3,4,7}:{(163,1),(164,1),(166,1)}
       205:{2,3,4,6}:{(164,1),(167,1),(178,1),(243,1),(246,1),(247,1),(277,1),(424,1)}
       206:{2,4,5,6,7}:{(165,1),(168,1),(244,1),(248,1),(252,1),(327,1)}
       207:{3,6,7}:{(165,1),(166,1)}
       208:{2,3,5,7}:{(166,1),(167,1),(170,1),(246,1),(249,1),(250,1),(412,1)}
       209:{1,3,5,6}:{(167,1),(171,1),(247,1),(250,1),(251,1)}
       210:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(248,1),(252,1),(258,1)}
       211:{2,4,6,7}:{(169,1),(170,1),(249,1),(252,1),(253,1),(329,1)}
       212:{1,4,5,7}:{(170,1),(171,1),(250,1),(253,1),(260,1),(334,1)}
       213:{1,4,6}:{(173,1),(174,1),(187,1),(241,1)}
       214:{1,3,4,5,7}:{(174,1),(175,1),(177,1),(183,1),(188,1),(242,1),(255,1),(256,1),(258,1)}
       215:{2,4,5}:{(175,1),(178,1),(184,1),(257,1)}
       216:{1,4,5,7}:{(176,1),(190,1),(244,1),(254,1),(258,1),(334,1)}
       217:{1,3,4,6,7}:{(176,1),(177,1),(179,1),(191,1),(245,1),(255,1),(258,1),(259,1)}
       218:{2,4,7}:{(177,1),(178,1),(180,1),(260,1)}
       219:{1,4,6}:{(178,1),(181,1),(257,1),(260,1)}
       220:{2,3,6,7}:{(179,1),(180,1),(259,1),(262,1),(264,1),(280,1),(329,1)}
       221:{1,3,5,7}:{(180,1),(181,1),(260,1),(262,1),(263,1),(334,1),(336,1)}
       222:{1,2,5,6}:{(181,1),(197,1),(251,1),(261,1),(263,1),(266,1),(337,1)}
       223:{1,3,6}:{(182,1),(183,1),(264,1)}
       224:{2,3,5,7}:{(183,1),(184,1),(185,1),(256,1),(264,1),(265,1)}
       225:{1,3,5}:{(184,1),(186,1),(257,1),(266,1)}
       226:{1,3,4,7}:{(185,1),(186,1),(260,1),(265,1),(267,1),(336,1)}
       227:{1,2,4,6}:{(186,1),(266,1),(267,1),(268,1),(337,1),(339,1)}
       228:{2,4,5,6}:{(187,1),(190,1),(254,1),(269,1),(330,1)}
       229:{3,4,6}:{(187,1),(188,1),(269,1)}
       230:{2,3,4,5,7}:{(188,1),(189,1),(192,1),(256,1),(270,1),(271,1),(274,1),(378,1),(413,1),(425,1)}
       231:{1,3,4,5}:{(189,1),(193,1),(257,1),(272,1),(333,1)}
       232:{3,5,7}:{(190,1),(191,1),(269,1)}
       233:{2,3,4,6,7}:{(191,1),(192,1),(195,1),(259,1),(270,1),(274,1),(275,1),(278,1),(382,1),(413,1)}
       234:{1,3,4,7}:{(192,1),(193,1),(196,1),(260,1),(276,1),(336,1)}
       235:{2,4,6}:{(193,1),(197,1),(272,1),(276,1),(277,1)}
       236:{3,4,6,7}:{(194,1),(273,1),(278,1)}
       237:{2,3,5,6,7}:{(194,1),(195,1),(198,1),(274,1),(278,1),(279,1)}
       238:{1,3,6,7}:{(195,1),(196,1),(199,1),(280,1)}
       239:{2,5,7}:{(196,1),(197,1),(276,1),(280,1)}
       240:{1,5,6,7}:{(198,1),(199,1),(334,1)}
       241:{2,4,6}:{(200,1),(201,1),(213,1),(282,1)}
       242:{3,4,5,7}:{(201,1),(202,1),(204,1),(282,1),(285,1),(408,1),(423,1)}
       243:{2,3,4,5}:{(202,1),(205,1),(215,1),(284,1),(311,1),(426,1)}
       244:{2,4,5,7}:{(203,1),(216,1),(281,1),(285,1),(298,1)}
       245:{3,4,6,7}:{(203,1),(204,1),(207,1),(282,1),(285,1),(374,1),(408,1)}
       246:{2,3,4,7}:{(204,1),(205,1),(208,1),(218,1),(287,1),(315,1),(421,1)}
       247:{1,3,4,6}:{(205,1),(209,1),(219,1),(284,1),(287,1),(288,1),(301,1)}
       248:{3,5,6,7}:{(206,1),(207,1),(285,1),(289,1)}
       249:{2,3,6,7}:{(207,1),(208,1),(211,1),(291,1),(400,1)}
       250:{1,3,5,7}:{(208,1),(209,1),(212,1),(287,1),(291,1),(292,1)}
       251:{2,5,6}:{(209,1),(288,1),(292,1)}
       252:{2,5,6,7}:{(210,1),(211,1),(293,1),(298,1)}
       253:{1,4,6,7}:{(211,1),(212,1),(291,1),(293,1)}
       254:{1,4,5,6}:{(213,1),(216,1),(228,1),(281,1),(294,1),(360,1)}
       255:{1,3,4,6}:{(213,1),(214,1),(223,1),(229,1),(282,1),(294,1),(295,1)}
       256:{2,4,5,7}:{(214,1),(215,1),(218,1),(224,1),(295,1),(296,1),(298,1)}
       257:{1,4,5}:{(215,1),(219,1),(225,1)}
       258:{1,3,5,7}:{(216,1),(217,1),(232,1),(285,1),(294,1),(298,1)}
       259:{2,4,6,7}:{(217,1),(218,1),(220,1),(295,1),(298,1),(299,1)}
       260:{1,4,7}:{(218,1),(219,1),(221,1)}
       261:{1,2,4,6}:{(219,1),(222,1),(235,1),(288,1),(297,1),(300,1),(301,1)}
       262:{1,3,6,7}:{(220,1),(221,1),(299,1),(302,1),(303,1)}
       263:{1,2,5,7}:{(221,1),(222,1),(239,1),(292,1),(300,1),(302,1)}
       264:{2,3,6}:{(223,1),(224,1),(295,1),(303,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(296,1),(303,1),(304,1)}
       266:{1,2,5}:{(225,1),(227,1)}
       267:{1,2,4,7}:{(226,1),(227,1),(304,1),(306,1)}
       268:{1,2,3,6}:{(227,1),(301,1),(305,1),(306,1)}
       269:{3,5,6}:{(228,1),(229,1),(232,1)}
       270:{2,3,4,6}:{(229,1),(230,1),(295,1),(308,1),(309,1),(396,1),(419,1)}
       271:{1,3,4,5,7}:{(230,1),(231,1),(234,1),(296,1),(309,1),(310,1),(313,1),(362,1),(403,1),(408,1),(422,1),(423,1)}
       272:{2,4,5}:{(231,1),(235,1),(311,1)}
       273:{3,4,5,7}:{(232,1),(236,1),(307,1),(312,1),(421,1)}
       274:{2,3,5,7}:{(232,1),(233,1),(298,1),(308,1),(312,1),(313,1)}
       275:{1,3,4,6,7}:{(233,1),(234,1),(238,1),(299,1),(309,1),(313,1),(314,1),(316,1),(365,1),(374,1),(403,1),(408,1)}
       276:{2,4,7}:{(234,1),(235,1),(239,1),(315,1)}
       277:{2,3,6}:{(235,1),(301,1),(311,1),(315,1)}
       278:{2,4,6,7}:{(236,1),(237,1),(312,1),(316,1)}
       279:{1,3,5,6,7}:{(237,1),(238,1),(240,1),(313,1),(316,1),(317,1),(374,1)}
       280:{2,6,7}:{(238,1),(239,1)}
       281:{2,4,5,6}:{(241,1),(244,1),(254,1),(318,1),(330,1)}
       282:{3,4,6}:{(241,1),(242,1),(318,1)}
       283:{2,3,4,5,7}:{(242,1),(243,1),(246,1),(256,1),(319,1),(320,1),(323,1),(343,1),(393,1),(417,1)}
       284:{1,3,4,5}:{(243,1),(247,1),(257,1),(321,1),(333,1)}
       285:{3,5,7}:{(244,1),(245,1),(318,1)}
       286:{2,3,4,6,7}:{(245,1),(246,1),(249,1),(259,1),(319,1),(323,1),(324,1),(327,1),(347,1),(393,1)}
       287:{1,3,4,7}:{(246,1),(247,1),(250,1),(260,1),(325,1),(336,1)}
       288:{2,4,6}:{(247,1),(251,1),(321,1),(325,1),(326,1)}
       289:{3,4,6,7}:{(248,1),(322,1),(327,1)}
       290:{2,3,5,6,7}:{(248,1),(249,1),(252,1),(323,1),(327,1),(328,1)}
       291:{1,3,6,7}:{(249,1),(250,1),(253,1),(329,1)}
       292:{2,5,7}:{(250,1),(251,1),(325,1),(329,1)}
       293:{1,5,6,7}:{(252,1),(253,1),(334,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(258,1),(269,1),(318,1),(330,1)}
       295:{2,4,6}:{(255,1),(256,1),(264,1),(330,1),(331,1)}
       296:{1,4,5,7}:{(256,1),(257,1),(260,1),(265,1),(331,1),(334,1)}
       297:{1,2,4,5}:{(257,1),(261,1),(266,1),(272,1),(321,1),(333,1),(339,1)}
       298:{2,5,7}:{(258,1),(259,1),(330,1),(334,1)}
       299:{1,4,6,7}:{(259,1),(260,1),(262,1),(331,1),(334,1)}
       300:{1,2,4,7}:{(260,1),(261,1),(263,1),(276,1),(325,1),(336,1)}
       301:{1,3,6}:{(261,1),(277,1),(326,1),(333,1),(336,1)}
       302:{1,2,6,7}:{(262,1),(263,1),(280,1),(329,1),(337,1)}
       303:{1,3,6}:{(264,1),(265,1),(331,1),(337,1)}
       304:{1,2,5,7}:{(265,1),(266,1),(267,1),(337,1)}
       305:{1,2,3,5}:{(266,1),(268,1),(333,1),(339,1)}
       306:{1,2,3,7}:{(267,1),(268,1),(336,1)}
       307:{3,4,5,6}:{(269,1),(273,1),(340,1),(424,1)}
       308:{2,3,5,6}:{(269,1),(270,1),(274,1),(330,1),(340,1),(341,1)}
       309:{1,3,4,6}:{(270,1),(271,1),(331,1),(341,1),(342,1),(385,1),(414,1),(416,1)}
       310:{2,4,5,7}:{(271,1),(272,1),(276,1),(342,1),(343,1),(346,1),(393,1),(417,1)}
       311:{2,3,5}:{(272,1),(277,1),(333,1),(344,1)}
       312:{2,4,5,7}:{(273,1),(274,1),(278,1),(340,1),(345,1),(413,1)}
       313:{1,3,5,7}:{(274,1),(275,1),(334,1),(341,1),(345,1),(346,1),(392,1)}
       314:{2,4,6,7}:{(275,1),(276,1),(280,1),(342,1),(346,1),(347,1),(393,1)}
       315:{2,3,7}:{(276,1),(277,1),(336,1)}
       316:{1,4,6,7}:{(278,1),(279,1),(345,1),(348,1)}
       317:{2,5,6,7}:{(279,1),(280,1),(346,1),(348,1)}
       318:{3,5,6}:{(281,1),(282,1),(285,1)}
       319:{2,3,4,6}:{(282,1),(283,1),(295,1),(350,1),(351,1),(370,1),(406,1)}
       320:{1,3,4,5,7}:{(283,1),(284,1),(287,1),(296,1),(351,1),(352,1),(355,1),(362,1),(403,1),(421,1),(422,1),(426,1)}
       321:{2,4,5}:{(284,1),(288,1),(353,1)}
       322:{3,4,5,7}:{(285,1),(289,1),(349,1),(354,1),(408,1)}
       323:{2,3,5,7}:{(285,1),(286,1),(298,1),(350,1),(354,1),(355,1)}
       324:{1,3,4,6,7}:{(286,1),(287,1),(291,1),(299,1),(351,1),(355,1),(356,1),(358,1),(365,1),(400,1),(403,1),(421,1)}
       325:{2,4,7}:{(287,1),(288,1),(292,1),(357,1)}
       326:{2,3,6}:{(288,1),(301,1),(353,1),(357,1)}
       327:{2,4,6,7}:{(289,1),(290,1),(354,1),(358,1)}
       328:{1,3,5,6,7}:{(290,1),(291,1),(293,1),(355,1),(358,1),(359,1),(400,1)}
       329:{2,6,7}:{(291,1),(292,1)}
       330:{2,5,6}:{(294,1),(295,1),(298,1),(360,1)}
       331:{1,4,6}:{(295,1),(296,1),(303,1),(360,1)}
       332:{1,2,4,5,7}:{(296,1),(297,1),(300,1),(304,1),(310,1),(352,1),(361,1),(362,1),(364,1),(367,1),(403,1),(404,1),(422,1)}
       333:{1,3,5}:{(297,1),(301,1),(311,1),(353,1),(363,1)}
       334:{1,5,7}:{(298,1),(299,1),(360,1)}
       335:{1,2,4,6,7}:{(299,1),(300,1),(302,1),(314,1),(356,1),(361,1),(364,1),(365,1),(403,1)}
       336:{1,3,7}:{(300,1),(301,1),(315,1),(357,1)}
       337:{1,2,6}:{(303,1),(304,1)}
       338:{1,2,3,5,7}:{(304,1),(305,1),(306,1),(362,1),(366,1),(367,1),(404,1)}
       339:{1,2,4}:{(305,1),(363,1)}
       340:{2,4,5,6}:{(307,1),(308,1),(312,1),(368,1),(419,1)}
       341:{1,3,5,6}:{(308,1),(309,1),(313,1),(360,1),(368,1),(369,1),(405,1)}
       342:{2,4,6}:{(309,1),(310,1),(369,1),(370,1)}
       343:{2,3,5,7}:{(310,1),(311,1),(315,1),(362,1),(370,1),(371,1),(407,1)}
       344:{2,3,4}:{(311,1),(363,1)}
       345:{1,4,5,7}:{(312,1),(313,1),(316,1),(368,1),(372,1),(403,1)}
       346:{2,5,7}:{(313,1),(314,1),(369,1)}
       347:{2,3,6,7}:{(314,1),(315,1),(365,1),(370,1),(373,1),(374,1)}
       348:{2,4,6,7}:{(316,1),(317,1),(372,1),(374,1)}
       349:{3,4,5,6}:{(318,1),(322,1),(375,1),(416,1)}
       350:{2,3,5,6}:{(318,1),(319,1),(323,1),(330,1),(375,1),(376,1)}
       351:{1,3,4,6}:{(319,1),(320,1),(331,1),(376,1),(377,1),(385,1),(414,1),(424,1)}
       352:{2,4,5,7}:{(320,1),(321,1),(325,1),(377,1),(378,1),(381,1),(413,1),(425,1)}
       353:{2,3,5}:{(321,1),(326,1),(333,1),(379,1)}
       354:{2,4,5,7}:{(322,1),(323,1),(327,1),(375,1),(380,1),(393,1)}
       355:{1,3,5,7}:{(323,1),(324,1),(334,1),(376,1),(380,1),(381,1),(412,1)}
       356:{2,4,6,7}:{(324,1),(325,1),(329,1),(377,1),(381,1),(382,1),(413,1)}
       357:{2,3,7}:{(325,1),(326,1),(336,1)}
       358:{1,4,6,7}:{(327,1),(328,1),(380,1),(383,1)}
       359:{2,5,6,7}:{(328,1),(329,1),(381,1),(383,1)}
       360:{1,5,6}:{(330,1),(331,1),(334,1)}
       361:{1,2,4,6}:{(331,1),(332,1),(337,1),(342,1),(377,1),(384,1),(385,1),(414,1)}
       362:{1,3,5,7}:{(332,1),(333,1),(336,1),(343,1),(378,1),(385,1),(386,1),(415,1)}
       363:{1,3,4}:{(333,1),(339,1),(344,1),(379,1)}
       364:{1,2,5,7}:{(334,1),(335,1),(346,1),(381,1),(384,1),(387,1)}
       365:{1,3,6,7}:{(335,1),(336,1),(347,1),(382,1),(385,1),(387,1)}
       366:{1,2,3,6}:{(337,1),(338,1),(385,1),(388,1)}
       367:{1,2,4,7}:{(338,1),(339,1),(386,1),(388,1)}
       368:{1,4,5,6}:{(340,1),(341,1),(345,1),(389,1),(414,1)}
       369:{2,5,6}:{(341,1),(342,1),(346,1)}
       370:{2,3,6}:{(342,1),(343,1),(385,1)}
       371:{2,3,4,7}:{(343,1),(344,1),(386,1),(391,1),(393,1)}
       372:{2,4,5,7}:{(345,1),(346,1),(348,1),(389,1),(392,1),(393,1)}
       373:{2,3,5,7}:{(346,1),(347,1),(387,1),(390,1),(392,1),(393,1)}
       374:{3,6,7}:{(348,1),(392,1)}
       375:{2,4,5,6}:{(349,1),(350,1),(354,1),(394,1),(406,1)}
       376:{1,3,5,6}:{(350,1),(351,1),(355,1),(360,1),(394,1),(395,1),(418,1)}
       377:{2,4,6}:{(351,1),(352,1),(395,1),(396,1)}
       378:{2,3,5,7}:{(352,1),(353,1),(357,1),(362,1),(396,1),(397,1),(420,1)}
       379:{2,3,4}:{(353,1),(363,1)}
       380:{1,4,5,7}:{(354,1),(355,1),(358,1),(394,1),(398,1),(403,1)}
       381:{2,5,7}:{(355,1),(356,1),(395,1)}
       382:{2,3,6,7}:{(356,1),(357,1),(365,1),(396,1),(399,1),(400,1)}
       383:{2,4,6,7}:{(358,1),(359,1),(398,1),(400,1)}
       384:{1,2,5,6}:{(360,1),(361,1),(364,1),(369,1),(395,1),(401,1),(404,1)}
       385:{1,3,6}:{(361,1),(362,1),(370,1),(396,1)}
       386:{1,3,4,7}:{(362,1),(363,1),(367,1),(371,1),(397,1),(402,1),(403,1)}
       387:{1,3,5,7}:{(364,1),(365,1),(373,1),(399,1),(401,1),(403,1)}
       388:{1,2,4,6}:{(366,1),(367,1),(402,1),(404,1)}
       389:{2,4,5,6}:{(368,1),(369,1),(372,1),(405,1),(406,1)}
       390:{2,3,5,6}:{(369,1),(370,1),(373,1),(401,1),(405,1),(406,1),(407,1)}
       391:{2,3,4,6}:{(370,1),(371,1),(402,1),(406,1),(407,1)}
       392:{3,5,7}:{(372,1),(374,1),(405,1),(408,1)}
       393:{2,4,7}:{(373,1),(403,1),(406,1),(408,1)}
       394:{1,4,5,6}:{(375,1),(376,1),(380,1),(409,1),(414,1)}
       395:{2,5,6}:{(376,1),(377,1),(381,1)}
       396:{2,3,6}:{(377,1),(378,1),(385,1)}
       397:{2,3,4,7}:{(378,1),(379,1),(386,1),(411,1),(413,1)}
       398:{2,4,5,7}:{(380,1),(381,1),(383,1),(409,1),(412,1),(413,1)}
       399:{2,3,5,7}:{(381,1),(382,1),(387,1),(410,1),(412,1),(413,1)}
       400:{3,6,7}:{(383,1),(412,1)}
       401:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(410,1),(414,1),(415,1)}
       402:{1,3,4,6}:{(385,1),(386,1),(388,1),(391,1),(411,1),(414,1),(415,1)}
       403:{1,4,7}:{(387,1),(393,1),(413,1),(414,1)}
       404:{1,2,5}:{(388,1),(415,1)}
       405:{3,5,6}:{(389,1),(392,1),(416,1)}
       406:{2,4,6}:{(390,1),(393,1),(414,1),(416,1),(417,1)}
       407:{2,3,5}:{(391,1),(415,1),(417,1)}
       408:{3,4,7}:{(392,1),(393,1),(416,1)}
       409:{2,4,5,6}:{(394,1),(395,1),(398,1),(418,1),(419,1)}
       410:{2,3,5,6}:{(395,1),(396,1),(399,1),(401,1),(418,1),(419,1),(420,1)}
       411:{2,3,4,6}:{(396,1),(397,1),(402,1),(419,1),(420,1)}
       412:{3,5,7}:{(398,1),(400,1),(418,1),(421,1)}
       413:{2,4,7}:{(399,1),(403,1),(419,1),(421,1)}
       414:{1,4,6}:{(401,1),(403,1),(406,1),(419,1),(422,1)}
       415:{1,3,5}:{(402,1),(404,1),(407,1),(420,1),(422,1)}
       416:{3,4,6}:{(405,1),(406,1),(408,1),(423,1)}
       417:{2,4,5}:{(406,1),(407,1),(422,1),(423,1)}
       418:{3,5,6}:{(409,1),(412,1),(424,1)}
       419:{2,4,6}:{(410,1),(413,1),(414,1),(424,1),(425,1)}
       420:{2,3,5}:{(411,1),(415,1),(425,1)}
       421:{3,4,7}:{(412,1),(413,1),(424,1)}
       422:{1,4,5}:{(414,1),(415,1),(417,1),(425,1)}
       423:{3,4,5}:{(416,1),(417,1)}
       424:{3,4,6}:{(418,1),(419,1),(421,1),(426,1)}
       425:{2,4,5}:{(419,1),(420,1),(422,1),(426,1)}
       426:{3,4,5}:{(424,1),(425,1)}

1921 :   0:{2,3,4,5}:{(1,1),(2,1),(44,1),(134,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(66,1),(113,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(8,1),(26,1),(118,1),(123,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(104,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(130,1),(172,1)}
         5:{2,3,5,6}:{(1,1),(13,1),(15,1),(16,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(46,1),(94,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(16,1),(18,1),(93,1),(135,1)}
         8:{2,4,5}:{(2,1),(17,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(35,1),(80,1)}
        10:{1,3,4,5}:{(3,1),(22,1),(24,1),(26,1),(118,1),(146,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(73,1),(118,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(73,1)}
        13:{2,4,5,6}:{(4,1),(5,1),(29,1),(30,1),(113,1),(170,1)}
        14:{3,4,5,7}:{(4,1),(30,1),(31,1),(147,1),(168,1)}
        15:{1,3,5,6}:{(5,1),(6,1),(29,1),(32,1),(33,1),(75,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(8,1),(32,1),(35,1),(36,1)}
        18:{1,3,4,7}:{(6,1),(7,1),(33,1),(36,1),(72,1),(119,1),(124,1)}
        19:{2,3,5}:{(8,1),(26,1),(35,1),(37,1)}
        20:{3,4,5,6}:{(38,1),(39,1),(100,1),(165,1)}
        21:{2,3,5,6}:{(9,1),(38,1),(40,1),(41,1)}
        22:{1,3,4,6}:{(9,1),(10,1),(40,1),(42,1),(43,1),(46,1),(94,1),(130,1)}
        23:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(105,1)}
        24:{2,4,5}:{(10,1),(42,1),(44,1)}
        25:{1,2,4,6}:{(11,1),(17,1),(42,1),(45,1),(46,1),(47,1),(94,1)}
        26:{1,3,5}:{(11,1),(19,1),(44,1),(46,1),(48,1)}
        27:{1,2,3,6}:{(12,1),(46,1),(49,1),(50,1)}
        28:{1,2,4}:{(12,1),(48,1)}
        29:{1,4,5,6}:{(13,1),(15,1),(51,1),(52,1),(94,1),(164,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(16,1),(52,1),(53,1),(135,1),(163,1)}
        31:{3,4,6,7}:{(14,1),(53,1),(54,1)}
        32:{2,5,6}:{(15,1),(17,1),(56,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(18,1),(52,1),(56,1),(57,1),(101,1)}
        34:{2,3,6,7}:{(16,1),(53,1),(57,1)}
        35:{2,3,6}:{(17,1),(19,1),(46,1),(59,1)}
        36:{2,4,7}:{(17,1),(18,1),(56,1),(59,1)}
        37:{2,3,4}:{(19,1),(48,1)}
        38:{2,4,5,6}:{(20,1),(21,1),(60,1),(61,1),(80,1),(158,1)}
        39:{3,4,5,7}:{(20,1),(61,1),(62,1),(124,1),(156,1)}
        40:{1,3,5,6}:{(21,1),(22,1),(60,1),(63,1),(64,1),(108,1)}
        41:{2,3,5,7}:{(21,1),(23,1),(61,1),(64,1),(65,1)}
        42:{2,4,6}:{(22,1),(24,1),(63,1),(66,1),(67,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(64,1),(67,1),(72,1),(119,1),(147,1)}
        44:{2,3,5}:{(24,1),(26,1),(66,1),(68,1)}
        45:{1,2,5,6}:{(25,1),(32,1),(63,1),(69,1),(70,1),(73,1),(122,1)}
        46:{1,3,6}:{(25,1),(26,1),(35,1),(66,1),(72,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(67,1),(70,1),(72,1),(119,1)}
        48:{1,3,4}:{(26,1),(28,1),(37,1),(68,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(122,1)}
        50:{1,2,3,7}:{(27,1),(72,1),(74,1)}
        51:{2,4,5,6}:{(29,1),(32,1),(75,1),(76,1),(80,1),(158,1),(171,1)}
        52:{1,4,5,7}:{(29,1),(30,1),(33,1),(76,1),(77,1),(119,1),(154,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        54:{3,5,6,7}:{(31,1),(78,1),(79,1),(168,1)}
        55:{2,3,5,6}:{(32,1),(35,1),(69,1),(75,1),(80,1),(81,1),(83,1),(129,1),(158,1)}
        56:{2,5,7}:{(32,1),(33,1),(36,1),(82,1)}
        57:{1,3,6,7}:{(33,1),(34,1),(77,1),(82,1),(125,1)}
        58:{2,3,4,6}:{(35,1),(37,1),(71,1),(80,1),(83,1),(84,1),(129,1)}
        59:{2,3,7}:{(35,1),(36,1),(72,1)}
        60:{1,4,5,6}:{(38,1),(40,1),(85,1),(86,1),(94,1),(164,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(87,1),(105,1),(145,1)}
        62:{3,4,6,7}:{(39,1),(87,1),(88,1)}
        63:{2,5,6}:{(40,1),(42,1),(90,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(43,1),(86,1),(90,1),(91,1),(131,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(91,1)}
        66:{2,3,6}:{(42,1),(44,1),(46,1),(93,1)}
        67:{2,4,7}:{(42,1),(43,1),(90,1),(93,1)}
        68:{2,3,4}:{(44,1),(48,1)}
        69:{1,3,5,6}:{(45,1),(46,1),(55,1),(89,1),(94,1),(95,1),(97,1),(140,1),(164,1)}
        70:{1,2,5,7}:{(45,1),(47,1),(56,1),(90,1),(95,1),(96,1)}
        71:{1,3,4,6}:{(46,1),(48,1),(49,1),(58,1),(92,1),(94,1),(97,1),(98,1),(140,1)}
        72:{1,3,7}:{(46,1),(47,1),(59,1),(93,1)}
        73:{1,2,5}:{(49,1),(97,1)}
        74:{1,2,4,7}:{(49,1),(50,1),(98,1),(99,1)}
        75:{3,5,6}:{(51,1),(100,1),(101,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(105,1),(145,1),(166,1)}
        77:{1,4,6,7}:{(52,1),(53,1),(57,1),(102,1),(103,1)}
        78:{2,5,6,7}:{(53,1),(54,1),(103,1),(163,1)}
        79:{4,5,6,7}:{(54,1),(173,1)}
        80:{2,4,6}:{(55,1),(94,1),(100,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(55,1),(56,1),(59,1),(95,1),(101,1),(105,1),(106,1),(145,1)}
        82:{2,6,7}:{(56,1),(57,1)}
        83:{2,3,5}:{(58,1),(97,1),(104,1)}
        84:{2,3,4,7}:{(58,1),(59,1),(98,1),(105,1),(107,1)}
        85:{2,4,5,6}:{(60,1),(63,1),(108,1),(109,1),(113,1),(170,1),(174,1)}
        86:{1,4,5,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(119,1),(154,1)}
        87:{2,4,6,7}:{(61,1),(62,1),(65,1),(110,1),(111,1)}
        88:{3,5,6,7}:{(62,1),(111,1),(112,1),(156,1)}
        89:{2,3,5,6}:{(63,1),(66,1),(69,1),(108,1),(113,1),(114,1),(116,1),(152,1),(170,1)}
        90:{2,5,7}:{(63,1),(64,1),(67,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(65,1),(110,1),(115,1),(148,1)}
        92:{2,3,4,6}:{(66,1),(68,1),(71,1),(113,1),(116,1),(117,1),(152,1)}
        93:{2,3,7}:{(66,1),(67,1),(72,1)}
        94:{1,4,6}:{(69,1),(80,1),(113,1),(118,1),(119,1)}
        95:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(114,1),(119,1),(120,1),(154,1)}
        96:{1,2,6,7}:{(70,1),(82,1),(115,1),(120,1),(122,1)}
        97:{1,3,5}:{(71,1),(73,1),(83,1),(116,1),(118,1)}
        98:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(117,1),(119,1),(121,1)}
        99:{1,2,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{3,4,6}:{(75,1),(80,1),(123,1),(124,1)}
       101:{3,5,7}:{(75,1),(76,1),(124,1),(125,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(82,1),(125,1),(126,1),(157,1)}
       103:{1,5,6,7}:{(77,1),(78,1),(126,1),(154,1)}
       104:{2,4,5}:{(80,1),(83,1),(118,1),(123,1)}
       105:{2,4,7}:{(80,1),(81,1),(119,1),(124,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(120,1),(125,1),(128,1),(129,1)}
       107:{2,3,5,7}:{(83,1),(84,1),(121,1),(127,1),(129,1)}
       108:{3,5,6}:{(85,1),(130,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(90,1),(131,1),(132,1),(135,1),(163,1),(173,1)}
       110:{1,4,6,7}:{(86,1),(87,1),(91,1),(132,1),(133,1)}
       111:{2,5,6,7}:{(87,1),(88,1),(133,1),(145,1)}
       112:{4,5,6,7}:{(88,1),(166,1)}
       113:{2,4,6}:{(89,1),(94,1),(130,1),(134,1),(135,1)}
       114:{2,3,5,7}:{(89,1),(90,1),(93,1),(95,1),(131,1),(135,1),(136,1),(163,1)}
       115:{2,6,7}:{(90,1),(91,1)}
       116:{2,3,5}:{(92,1),(97,1),(134,1)}
       117:{2,3,4,7}:{(92,1),(93,1),(98,1),(135,1),(137,1)}
       118:{1,4,5}:{(94,1),(97,1),(104,1),(134,1)}
       119:{1,4,7}:{(94,1),(95,1),(105,1),(135,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(106,1),(136,1),(139,1),(140,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1),(140,1)}
       122:{1,2,6}:{(99,1),(140,1)}
       123:{3,4,5}:{(100,1),(104,1)}
       124:{3,4,7}:{(100,1),(101,1),(105,1)}
       125:{3,6,7}:{(101,1),(102,1)}
       126:{2,5,6,7}:{(102,1),(103,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(104,1),(105,1),(107,1),(138,1),(141,1),(144,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(139,1),(142,1),(144,1),(145,1)}
       129:{2,3,6}:{(107,1),(140,1),(144,1)}
       130:{3,4,6}:{(108,1),(113,1),(146,1),(147,1)}
       131:{3,5,7}:{(108,1),(109,1),(147,1),(148,1)}
       132:{2,4,6,7}:{(109,1),(110,1),(115,1),(148,1),(149,1),(169,1)}
       133:{1,5,6,7}:{(110,1),(111,1),(149,1),(154,1)}
       134:{2,4,5}:{(113,1),(116,1),(118,1),(146,1)}
       135:{2,4,7}:{(113,1),(114,1),(119,1),(147,1)}
       136:{2,3,6,7}:{(114,1),(115,1),(120,1),(148,1),(151,1),(152,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(150,1),(152,1)}
       138:{1,4,5,7}:{(118,1),(119,1),(121,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,6,7}:{(119,1),(120,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(153,1)}
       141:{3,4,5,7}:{(123,1),(124,1),(127,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(128,1),(155,1),(156,1),(157,1)}
       143:{3,5,6,7}:{(125,1),(126,1),(156,1),(157,1)}
       144:{2,4,6}:{(127,1),(129,1),(153,1),(155,1),(158,1)}
       145:{2,5,7}:{(128,1),(154,1),(156,1),(158,1)}
       146:{3,4,5}:{(130,1),(134,1)}
       147:{3,4,7}:{(130,1),(131,1),(135,1)}
       148:{3,6,7}:{(131,1),(132,1)}
       149:{2,5,6,7}:{(132,1),(133,1),(161,1),(163,1)}
       150:{2,4,5,7}:{(134,1),(135,1),(137,1),(138,1),(159,1),(162,1),(163,1)}
       151:{2,4,6,7}:{(135,1),(136,1),(139,1),(160,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(162,1)}
       153:{1,4,6}:{(138,1),(140,1),(144,1),(162,1),(164,1)}
       154:{1,5,7}:{(139,1),(145,1),(163,1),(164,1)}
       155:{3,4,6}:{(141,1),(144,1),(165,1)}
       156:{3,5,7}:{(142,1),(145,1),(165,1),(166,1)}
       157:{4,6,7}:{(143,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(165,1)}
       159:{3,4,5,7}:{(146,1),(147,1),(150,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(151,1),(167,1),(168,1),(169,1)}
       161:{3,5,6,7}:{(148,1),(149,1),(168,1),(169,1)}
       162:{2,4,6}:{(150,1),(152,1),(153,1),(167,1),(170,1)}
       163:{2,5,7}:{(151,1),(154,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{3,5,6}:{(155,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(171,1)}
       167:{3,4,6}:{(159,1),(162,1),(172,1)}
       168:{3,5,7}:{(160,1),(163,1),(172,1),(173,1)}
       169:{4,6,7}:{(161,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{3,5,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

1922 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

1923 :   0:{2,3,4,5}:{(2,1),(3,1),(45,1),(97,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(30,1),(33,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(30,1),(80,1),(86,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(11,1),(68,1),(119,1)}
         4:{2,3,4,5}:{(12,1),(13,1),(18,1),(60,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{1,2,3,6}:{(1,1),(16,1),(17,1),(52,1)}
         7:{2,3,4}:{(14,1),(18,1)}
         8:{2,4,5}:{(2,1),(18,1),(20,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(52,1),(105,1),(110,1)}
        10:{2,3,5,6}:{(3,1),(21,1),(23,1),(24,1)}
        11:{2,3,4,7}:{(3,1),(22,1),(24,1),(96,1),(141,1)}
        12:{1,3,4,5}:{(4,1),(26,1),(27,1),(30,1),(80,1),(121,1)}
        13:{2,3,4,6}:{(4,1),(27,1),(28,1),(29,1),(35,1),(84,1)}
        14:{1,3,4}:{(5,1),(7,1),(25,1),(30,1)}
        15:{1,2,4,5}:{(5,1),(8,1),(26,1),(30,1),(32,1),(33,1),(80,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(31,1),(33,1),(34,1),(83,1)}
        17:{1,2,3,7}:{(6,1),(34,1),(79,1)}
        18:{2,3,5}:{(7,1),(8,1),(30,1),(35,1)}
        19:{2,3,4,6}:{(7,1),(31,1),(35,1),(36,1),(37,1),(84,1),(88,1)}
        20:{2,4,6}:{(8,1),(9,1),(35,1),(38,1),(39,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(38,1),(40,1),(41,1),(89,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(39,1),(41,1),(79,1),(130,1),(133,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(119,1),(158,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(41,1),(43,1),(44,1)}
        25:{2,3,4}:{(14,1),(45,1)}
        26:{2,4,5}:{(12,1),(45,1),(47,1)}
        27:{1,3,4,6}:{(12,1),(13,1),(47,1),(48,1),(49,1),(52,1),(105,1),(140,1)}
        28:{2,3,5,6}:{(13,1),(48,1),(50,1),(51,1)}
        29:{2,3,4,7}:{(13,1),(49,1),(51,1),(59,1),(111,1)}
        30:{1,3,5}:{(14,1),(15,1),(18,1),(45,1),(52,1)}
        31:{1,3,4,6}:{(14,1),(16,1),(19,1),(46,1),(52,1),(53,1),(54,1),(105,1),(108,1)}
        32:{1,2,4,6}:{(15,1),(20,1),(47,1),(52,1),(55,1),(56,1),(105,1)}
        33:{1,2,5}:{(16,1),(53,1)}
        34:{1,2,4,7}:{(16,1),(17,1),(54,1),(57,1)}
        35:{2,3,6}:{(18,1),(20,1),(52,1),(59,1)}
        36:{2,3,5}:{(19,1),(53,1),(60,1)}
        37:{2,3,4,7}:{(19,1),(54,1),(59,1),(61,1),(111,1)}
        38:{2,5,6}:{(20,1),(21,1),(63,1)}
        39:{2,4,7}:{(20,1),(22,1),(59,1),(63,1)}
        40:{1,4,5,6}:{(21,1),(23,1),(62,1),(64,1),(105,1),(150,1)}
        41:{1,3,5,7}:{(21,1),(22,1),(24,1),(63,1),(64,1),(65,1),(115,1)}
        42:{3,4,5,6}:{(23,1),(66,1),(140,1),(168,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(64,1),(66,1),(67,1),(141,1),(167,1)}
        44:{2,3,6,7}:{(24,1),(65,1),(67,1)}
        45:{2,3,5}:{(25,1),(26,1),(30,1),(68,1)}
        46:{2,3,4,6}:{(25,1),(31,1),(68,1),(69,1),(70,1),(119,1),(123,1)}
        47:{2,4,6}:{(26,1),(27,1),(68,1),(71,1),(72,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(124,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(72,1),(74,1),(79,1),(130,1),(155,1)}
        50:{2,4,5,6}:{(28,1),(73,1),(75,1),(76,1),(84,1),(136,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(74,1),(76,1),(77,1)}
        52:{1,3,6}:{(30,1),(32,1),(35,1),(68,1),(79,1)}
        53:{1,3,5}:{(31,1),(33,1),(36,1),(69,1),(80,1)}
        54:{1,3,4,7}:{(31,1),(34,1),(37,1),(70,1),(79,1),(81,1),(130,1)}
        55:{1,2,5,6}:{(32,1),(33,1),(38,1),(71,1),(78,1),(82,1),(83,1)}
        56:{1,2,4,7}:{(32,1),(39,1),(72,1),(79,1),(82,1),(130,1)}
        57:{1,2,5,7}:{(33,1),(34,1),(81,1),(83,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(38,1),(78,1),(84,1),(85,1),(88,1),(89,1),(136,1)}
        59:{2,3,7}:{(35,1),(39,1),(79,1)}
        60:{2,4,5}:{(36,1),(80,1),(84,1),(86,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(81,1),(87,1),(88,1)}
        62:{2,4,5,6}:{(38,1),(40,1),(84,1),(89,1),(90,1),(136,1),(164,1)}
        63:{2,5,7}:{(38,1),(39,1),(41,1),(91,1)}
        64:{1,4,5,7}:{(40,1),(41,1),(43,1),(90,1),(92,1),(130,1),(162,1)}
        65:{1,3,6,7}:{(41,1),(44,1),(91,1),(92,1),(137,1)}
        66:{3,4,5,7}:{(42,1),(43,1),(93,1),(155,1),(171,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(92,1),(93,1),(94,1)}
        68:{2,3,6}:{(45,1),(47,1),(52,1),(96,1)}
        69:{2,3,5}:{(46,1),(53,1),(97,1)}
        70:{2,3,4,7}:{(46,1),(54,1),(96,1),(98,1),(141,1)}
        71:{2,5,6}:{(47,1),(48,1),(100,1)}
        72:{2,4,7}:{(47,1),(49,1),(96,1),(100,1)}
        73:{1,4,5,6}:{(48,1),(50,1),(99,1),(101,1),(105,1),(150,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(100,1),(101,1),(102,1),(145,1)}
        75:{3,4,5,6}:{(50,1),(103,1),(110,1),(153,1)}
        76:{2,4,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(111,1),(152,1)}
        77:{2,3,6,7}:{(51,1),(102,1),(104,1)}
        78:{1,3,5,6}:{(52,1),(53,1),(55,1),(58,1),(95,1),(105,1),(106,1),(108,1),(150,1)}
        79:{1,3,7}:{(52,1),(56,1),(59,1),(96,1)}
        80:{1,4,5}:{(53,1),(60,1),(97,1),(105,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(107,1),(108,1)}
        82:{1,2,5,7}:{(55,1),(56,1),(63,1),(100,1),(106,1),(109,1)}
        83:{1,2,6}:{(57,1),(108,1)}
        84:{2,4,6}:{(58,1),(60,1),(105,1),(110,1),(111,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(63,1),(106,1),(111,1),(112,1),(115,1),(152,1)}
        86:{3,4,5}:{(60,1),(110,1)}
        87:{2,4,5,7}:{(60,1),(61,1),(107,1),(111,1),(113,1),(114,1),(152,1)}
        88:{2,3,6}:{(61,1),(108,1),(114,1)}
        89:{3,5,6}:{(62,1),(110,1),(115,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(64,1),(111,1),(115,1),(116,1),(152,1),(170,1)}
        91:{2,6,7}:{(63,1),(65,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(117,1)}
        93:{3,4,6,7}:{(66,1),(67,1),(118,1)}
        94:{2,5,6,7}:{(67,1),(117,1),(118,1),(167,1)}
        95:{2,3,5,6}:{(68,1),(69,1),(71,1),(78,1),(119,1),(120,1),(123,1),(124,1),(158,1)}
        96:{2,3,7}:{(68,1),(72,1),(79,1)}
        97:{2,4,5}:{(69,1),(80,1),(119,1),(121,1)}
        98:{2,3,5,7}:{(69,1),(70,1),(81,1),(122,1),(123,1)}
        99:{2,4,5,6}:{(71,1),(73,1),(119,1),(124,1),(125,1),(158,1),(172,1)}
       100:{2,5,7}:{(71,1),(72,1),(74,1),(126,1)}
       101:{1,4,5,7}:{(73,1),(74,1),(76,1),(125,1),(127,1),(130,1),(162,1)}
       102:{1,3,6,7}:{(74,1),(77,1),(126,1),(127,1),(159,1)}
       103:{3,4,5,7}:{(75,1),(76,1),(128,1),(133,1),(163,1)}
       104:{2,4,6,7}:{(76,1),(77,1),(127,1),(128,1),(129,1)}
       105:{1,4,6}:{(78,1),(80,1),(84,1),(119,1),(130,1)}
       106:{1,3,5,7}:{(78,1),(79,1),(82,1),(85,1),(120,1),(130,1),(131,1),(162,1)}
       107:{1,4,5,7}:{(80,1),(81,1),(87,1),(122,1),(130,1),(132,1),(162,1)}
       108:{1,3,6}:{(81,1),(83,1),(88,1),(123,1),(132,1)}
       109:{1,2,6,7}:{(82,1),(83,1),(91,1),(126,1),(131,1)}
       110:{3,4,6}:{(84,1),(86,1),(89,1),(133,1)}
       111:{2,4,7}:{(84,1),(85,1),(130,1),(133,1)}
       112:{2,3,6,7}:{(85,1),(88,1),(91,1),(131,1),(134,1),(137,1)}
       113:{3,4,5,7}:{(86,1),(87,1),(133,1),(135,1),(163,1)}
       114:{2,4,6}:{(87,1),(88,1),(132,1),(135,1),(136,1)}
       115:{3,5,7}:{(89,1),(90,1),(133,1),(137,1)}
       116:{2,4,6,7}:{(90,1),(91,1),(92,1),(137,1),(138,1),(165,1)}
       117:{1,5,6,7}:{(92,1),(94,1),(138,1),(162,1)}
       118:{3,5,6,7}:{(93,1),(94,1),(139,1),(171,1)}
       119:{2,4,6}:{(95,1),(97,1),(105,1),(140,1),(141,1)}
       120:{2,3,5,7}:{(95,1),(96,1),(100,1),(106,1),(141,1),(142,1),(145,1),(167,1)}
       121:{3,4,5}:{(97,1),(140,1)}
       122:{2,4,5,7}:{(97,1),(98,1),(107,1),(141,1),(143,1),(144,1),(167,1)}
       123:{2,3,6}:{(98,1),(108,1),(144,1)}
       124:{3,5,6}:{(99,1),(140,1),(145,1)}
       125:{2,4,5,7}:{(99,1),(100,1),(101,1),(141,1),(145,1),(146,1),(167,1),(174,1)}
       126:{2,6,7}:{(100,1),(102,1)}
       127:{1,4,6,7}:{(101,1),(102,1),(104,1),(146,1),(147,1)}
       128:{3,4,6,7}:{(103,1),(104,1),(148,1)}
       129:{2,5,6,7}:{(104,1),(147,1),(148,1),(152,1)}
       130:{1,4,7}:{(105,1),(106,1),(111,1),(141,1)}
       131:{1,3,6,7}:{(106,1),(108,1),(109,1),(112,1),(142,1),(149,1)}
       132:{1,4,6}:{(107,1),(108,1),(114,1),(144,1),(150,1)}
       133:{3,4,7}:{(110,1),(111,1),(115,1)}
       134:{2,4,6,7}:{(111,1),(112,1),(114,1),(149,1),(151,1),(152,1)}
       135:{3,4,6}:{(113,1),(114,1),(153,1)}
       136:{2,5,6}:{(114,1),(150,1),(152,1),(153,1)}
       137:{3,6,7}:{(115,1),(116,1)}
       138:{2,5,6,7}:{(116,1),(117,1),(152,1),(154,1)}
       139:{4,5,6,7}:{(118,1),(174,1)}
       140:{3,4,6}:{(119,1),(121,1),(124,1),(155,1)}
       141:{2,4,7}:{(119,1),(120,1),(130,1),(155,1)}
       142:{2,3,6,7}:{(120,1),(123,1),(126,1),(131,1),(156,1),(159,1)}
       143:{3,4,5,7}:{(121,1),(122,1),(155,1),(157,1),(171,1)}
       144:{2,4,6}:{(122,1),(123,1),(132,1),(157,1),(158,1)}
       145:{3,5,7}:{(124,1),(125,1),(155,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(127,1),(159,1),(160,1),(173,1)}
       147:{1,5,6,7}:{(127,1),(129,1),(160,1),(162,1)}
       148:{3,5,6,7}:{(128,1),(129,1),(161,1),(163,1)}
       149:{1,4,6,7}:{(130,1),(131,1),(132,1),(134,1),(156,1),(162,1)}
       150:{1,5,6}:{(132,1),(136,1),(158,1),(162,1)}
       151:{3,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(163,1),(165,1)}
       152:{2,5,7}:{(134,1),(136,1),(162,1),(163,1)}
       153:{3,5,6}:{(135,1),(136,1),(163,1),(164,1)}
       154:{3,5,6,7}:{(137,1),(138,1),(163,1),(165,1)}
       155:{3,4,7}:{(140,1),(141,1),(145,1)}
       156:{2,4,6,7}:{(141,1),(142,1),(144,1),(149,1),(166,1),(167,1)}
       157:{3,4,6}:{(143,1),(144,1),(168,1)}
       158:{2,5,6}:{(144,1),(150,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(147,1),(167,1),(169,1)}
       161:{4,5,6,7}:{(148,1),(170,1)}
       162:{1,5,7}:{(149,1),(150,1),(152,1),(167,1)}
       163:{3,5,7}:{(151,1),(152,1),(153,1),(170,1)}
       164:{4,5,6}:{(153,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,4,6,7}:{(155,1),(156,1),(157,1),(159,1),(171,1),(173,1)}
       167:{2,5,7}:{(156,1),(158,1),(162,1),(171,1)}
       168:{3,5,6}:{(157,1),(158,1),(171,1),(172,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(171,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{3,5,7}:{(166,1),(167,1),(168,1),(174,1)}
       172:{4,5,6}:{(168,1),(174,1)}
       173:{4,6,7}:{(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

1924 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

1925 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1926 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

1927 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

1928 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(39,1),(40,1),(96,1),(100,1),(178,1),(192,1),(276,1),(281,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(55,1),(143,1),(315,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(20,1),(25,1),(61,1),(139,1),(227,1),(311,1)}
         3:{1,2,4,5}:{(1,1),(9,1),(32,1),(281,1),(349,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(39,1),(178,1),(183,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(90,1),(346,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(39,1),(98,1),(188,1),(192,1),(271,1),(411,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(31,1),(48,1),(95,1),(206,1),(207,1),(293,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(21,1),(28,1),(55,1),(78,1),(127,1),(130,1),(137,1),(138,1),(212,1),(233,1),(252,1),(307,1),(315,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,2,4,5,7}:{(3,1),(5,1),(20,1),(21,1),(25,1),(58,1),(72,1)}
        11:{2,3,4,6}:{(4,1),(19,1),(22,1),(23,1),(55,1),(66,1),(152,1),(156,1),(215,1),(219,1)}
        12:{1,3,4,7}:{(4,1),(5,1),(20,1),(23,1),(227,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(132,1),(239,1),(386,1),(387,1)}
        14:{2,4,5,6}:{(7,1),(27,1),(28,1),(29,1),(55,1),(78,1),(137,1)}
        15:{1,3,4,5,7}:{(7,1),(29,1),(30,1),(56,1),(79,1),(133,1),(248,1),(249,1),(327,1)}
        16:{1,3,4,5}:{(9,1),(31,1),(32,1),(349,1),(363,1),(399,1)}
        17:{1,3,5,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(39,1),(178,1),(293,1),(343,1)}
        18:{1,2,4,5,7}:{(8,1),(35,1),(36,1),(50,1),(90,1),(116,1),(175,1),(179,1),(181,1),(182,1),(257,1),(272,1),(289,1),(339,1),(346,1)}
        19:{2,3,5}:{(9,1),(11,1),(32,1),(37,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(38,1),(39,1)}
        21:{1,2,4,6}:{(10,1),(39,1),(40,1),(94,1),(104,1)}
        22:{1,3,4,6}:{(11,1),(37,1),(41,1),(42,1),(89,1),(102,1),(178,1),(183,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(38,1),(42,1),(90,1),(199,1),(260,1)}
        24:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(43,1),(44,1),(104,1),(271,1),(275,1),(346,1),(354,1),(357,1),(358,1)}
        25:{1,2,5,7}:{(13,1),(40,1),(44,1),(181,1),(281,1)}
        26:{2,3,4,5}:{(32,1),(45,1),(46,1),(171,1),(363,1)}
        27:{2,3,5,6}:{(14,1),(45,1),(48,1),(49,1),(293,1)}
        28:{1,4,5,6}:{(14,1),(48,1),(50,1),(89,1),(186,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(49,1),(50,1),(51,1),(90,1),(116,1),(181,1)}
        30:{1,3,4,6,7}:{(15,1),(51,1),(52,1),(117,1),(209,1),(210,1),(295,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(55,1),(56,1),(315,1),(330,1),(373,1)}
        32:{2,4,5}:{(16,1),(19,1),(55,1),(57,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(56,1),(58,1),(59,1),(72,1),(133,1),(151,1)}
        34:{2,3,5,6}:{(17,1),(19,1),(55,1),(60,1),(61,1),(66,1),(78,1),(137,1),(152,1),(212,1),(215,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(56,1),(61,1),(62,1),(227,1),(327,1),(370,1)}
        36:{1,2,4,6,7}:{(18,1),(21,1),(62,1),(63,1),(81,1),(132,1),(142,1),(161,1),(224,1),(254,1),(298,1),(367,1)}
        37:{1,3,5}:{(19,1),(22,1),(57,1),(64,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(23,1),(58,1),(65,1),(66,1)}
        39:{1,3,6}:{(20,1),(21,1),(66,1)}
        40:{1,2,5,6}:{(21,1),(25,1),(67,1),(137,1),(386,1)}
        41:{1,2,4,6}:{(22,1),(64,1),(68,1),(69,1),(143,1),(145,1)}
        42:{1,3,4,7}:{(22,1),(23,1),(65,1),(69,1),(131,1),(227,1)}
        43:{2,3,4,6,7}:{(23,1),(24,1),(66,1),(70,1),(71,1),(132,1),(147,1),(238,1),(246,1),(250,1),(301,1),(305,1),(319,1),(322,1),(324,1),(326,1),(369,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(67,1),(71,1),(72,1),(314,1),(379,1)}
        45:{2,3,4,6}:{(26,1),(27,1),(55,1),(73,1),(74,1),(215,1),(330,1)}
        46:{1,3,4,5}:{(26,1),(57,1),(73,1),(75,1),(134,1)}
        47:{2,3,4,5,7}:{(26,1),(58,1),(74,1),(76,1),(77,1),(151,1),(155,1),(220,1),(245,1),(369,1),(372,1),(388,1),(390,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(73,1),(78,1),(79,1)}
        49:{2,3,5,7}:{(27,1),(29,1),(74,1),(79,1),(80,1),(327,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(79,1),(81,1),(131,1),(229,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(80,1),(81,1),(82,1),(161,1)}
        52:{1,3,5,6,7}:{(30,1),(82,1),(83,1),(133,1),(165,1)}
        53:{2,3,4,5}:{(32,1),(84,1),(85,1),(112,1),(399,1)}
        54:{1,3,4,5,6}:{(31,1),(87,1),(88,1),(95,1),(166,1),(267,1),(268,1),(343,1)}
        55:{2,4,6}:{(31,1),(32,1),(34,1),(89,1),(90,1)}
        56:{1,3,4,7}:{(31,1),(35,1),(90,1),(346,1),(360,1),(396,1)}
        57:{1,4,5}:{(32,1),(37,1),(89,1)}
        58:{2,4,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(94,1),(181,1)}
        59:{1,3,4,6}:{(33,1),(39,1),(94,1),(95,1),(104,1),(195,1)}
        60:{1,3,5,6}:{(34,1),(37,1),(89,1),(96,1),(97,1),(102,1),(178,1),(186,1)}
        61:{2,3,5,7}:{(34,1),(35,1),(90,1),(97,1),(98,1),(116,1),(181,1),(199,1),(257,1),(260,1)}
        62:{1,3,6,7}:{(35,1),(36,1),(39,1),(98,1),(295,1),(394,1)}
        63:{1,2,5,6,7}:{(36,1),(40,1),(99,1),(119,1),(181,1),(208,1),(269,1),(272,1),(335,1),(408,1)}
        64:{1,2,5}:{(37,1),(41,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(42,1),(93,1),(101,1),(102,1)}
        66:{2,3,6}:{(38,1),(39,1),(94,1),(102,1)}
        67:{1,3,5,6}:{(39,1),(40,1),(44,1),(103,1),(104,1),(352,1),(357,1)}
        68:{1,2,3,6}:{(41,1),(100,1),(105,1),(178,1)}
        69:{1,2,4,7}:{(41,1),(42,1),(101,1),(105,1)}
        70:{1,3,4,6,7}:{(42,1),(43,1),(102,1),(106,1),(107,1),(180,1),(194,1),(271,1),(275,1),(283,1),(285,1),(346,1)}
        71:{2,3,5,7}:{(43,1),(44,1),(103,1),(107,1),(108,1),(181,1),(274,1),(291,1),(341,1),(348,1)}
        72:{1,4,5,7}:{(44,1),(104,1),(108,1),(346,1),(349,1)}
        73:{1,3,4,6}:{(45,1),(46,1),(48,1),(89,1),(109,1),(110,1),(178,1)}
        74:{2,3,4,7}:{(45,1),(49,1),(90,1),(110,1),(260,1),(360,1)}
        75:{2,4,5}:{(46,1),(109,1),(112,1)}
        76:{1,3,4,5,7}:{(46,1),(47,1),(93,1),(110,1),(113,1),(114,1),(184,1),(201,1),(287,1),(346,1),(349,1),(360,1),(363,1),(412,1),(414,1)}
        77:{2,3,4,6}:{(47,1),(94,1),(114,1),(115,1),(195,1),(265,1),(284,1),(342,1)}
        78:{2,5,6}:{(48,1),(109,1),(116,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(110,1),(116,1),(117,1)}
        80:{2,3,6,7}:{(49,1),(51,1),(117,1),(295,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(117,1),(119,1)}
        82:{2,5,6,7}:{(51,1),(52,1),(119,1),(181,1)}
        83:{1,4,5,6,7}:{(52,1),(120,1),(182,1),(209,1),(297,1)}
        84:{2,3,4,6}:{(53,1),(55,1),(121,1),(122,1),(123,1),(152,1),(373,1)}
        85:{1,3,4,5}:{(53,1),(57,1),(122,1),(124,1),(134,1)}
        86:{2,3,4,5,7}:{(53,1),(58,1),(123,1),(125,1),(126,1),(151,1),(157,1),(218,1),(245,1),(326,1),(329,1),(418,1),(420,1)}
        87:{2,4,5,6}:{(54,1),(55,1),(121,1),(127,1),(128,1),(137,1),(212,1)}
        88:{1,3,4,5,7}:{(54,1),(56,1),(128,1),(129,1),(133,1),(213,1),(303,1),(304,1),(370,1)}
        89:{1,4,6}:{(55,1),(57,1),(60,1),(131,1)}
        90:{2,4,7}:{(55,1),(56,1),(61,1),(131,1)}
        91:{1,3,4,6,7}:{(56,1),(59,1),(62,1),(132,1),(133,1),(142,1),(238,1)}
        92:{1,2,4,5}:{(57,1),(64,1),(75,1),(124,1),(130,1),(134,1),(143,1)}
        93:{1,4,5,7}:{(57,1),(58,1),(65,1),(131,1),(136,1),(229,1)}
        94:{2,4,6}:{(58,1),(59,1),(66,1),(136,1),(137,1)}
        95:{1,3,5,6}:{(59,1),(133,1),(137,1),(138,1),(235,1)}
        96:{1,2,5,6}:{(60,1),(64,1),(78,1),(130,1),(139,1),(145,1),(212,1)}
        97:{1,3,5,7}:{(60,1),(61,1),(131,1),(139,1),(140,1),(227,1),(229,1)}
        98:{2,3,6,7}:{(61,1),(62,1),(66,1),(132,1),(140,1),(161,1),(298,1)}
        99:{1,3,5,6,7}:{(62,1),(63,1),(67,1),(133,1),(141,1),(142,1),(311,1),(379,1),(383,1)}
       100:{1,2,3,5}:{(64,1),(68,1),(134,1),(143,1)}
       101:{1,2,5,7}:{(64,1),(65,1),(69,1),(145,1)}
       102:{1,3,6}:{(65,1),(66,1),(136,1),(145,1)}
       103:{2,3,5,6}:{(66,1),(67,1),(71,1),(137,1),(146,1),(147,1),(235,1),(317,1),(322,1)}
       104:{1,4,6}:{(67,1),(72,1),(147,1)}
       105:{1,2,3,7}:{(68,1),(69,1),(227,1)}
       106:{1,2,4,6,7}:{(69,1),(70,1),(145,1),(148,1),(149,1),(239,1),(241,1),(243,1),(319,1)}
       107:{1,3,5,7}:{(70,1),(71,1),(146,1),(149,1),(150,1),(229,1),(314,1)}
       108:{2,4,5,7}:{(71,1),(72,1),(147,1),(150,1),(151,1),(326,1),(329,1),(369,1),(372,1)}
       109:{2,4,6}:{(73,1),(75,1),(78,1),(152,1),(153,1)}
       110:{1,3,4,7}:{(73,1),(74,1),(79,1),(131,1),(153,1),(227,1)}
       111:{2,3,4,6,7}:{(74,1),(77,1),(80,1),(132,1),(154,1),(155,1),(163,1),(238,1),(301,1),(319,1),(333,1),(369,1),(388,1)}
       112:{2,3,5}:{(75,1),(134,1),(152,1),(156,1)}
       113:{2,4,5,7}:{(75,1),(76,1),(153,1),(157,1),(158,1),(247,1),(326,1),(329,1),(429,1),(430,1)}
       114:{1,3,4,6}:{(76,1),(77,1),(136,1),(158,1),(159,1),(232,1),(315,1),(323,1),(330,1)}
       115:{2,3,5,6}:{(77,1),(137,1),(155,1),(159,1),(160,1),(235,1),(317,1)}
       116:{2,5,7}:{(78,1),(79,1),(153,1),(161,1)}
       117:{1,3,6,7}:{(79,1),(80,1),(81,1),(161,1)}
       118:{2,3,5,6,7}:{(80,1),(82,1),(155,1),(162,1),(163,1),(165,1),(256,1),(333,1)}
       119:{1,5,6,7}:{(81,1),(82,1),(229,1)}
       120:{2,4,5,6,7}:{(82,1),(83,1),(163,1),(164,1),(165,1),(230,1),(254,1),(256,1)}
       121:{2,3,5,6}:{(84,1),(87,1),(166,1),(167,1),(343,1)}
       122:{1,3,4,6}:{(84,1),(85,1),(89,1),(166,1),(168,1),(169,1),(178,1)}
       123:{2,3,4,7}:{(84,1),(90,1),(167,1),(169,1),(199,1),(396,1)}
       124:{2,4,5}:{(85,1),(168,1),(171,1)}
       125:{1,3,4,5,7}:{(85,1),(86,1),(93,1),(169,1),(172,1),(173,1),(184,1),(262,1),(287,1),(346,1),(349,1),(396,1),(399,1),(433,1),(435,1)}
       126:{2,3,4,6}:{(86,1),(94,1),(173,1),(174,1),(195,1),(204,1),(284,1),(292,1)}
       127:{1,4,5,6}:{(87,1),(89,1),(166,1),(175,1),(186,1)}
       128:{2,4,5,7}:{(87,1),(88,1),(90,1),(167,1),(175,1),(176,1),(181,1),(257,1)}
       129:{1,3,4,6,7}:{(88,1),(176,1),(177,1),(258,1),(336,1),(337,1),(394,1)}
       130:{1,2,4,6}:{(89,1),(92,1),(96,1),(109,1),(168,1),(178,1),(179,1)}
       131:{1,4,7}:{(89,1),(90,1),(97,1)}
       132:{2,4,6,7}:{(90,1),(91,1),(94,1),(98,1),(180,1),(181,1)}
       133:{1,3,5,7}:{(91,1),(95,1),(181,1),(182,1),(274,1)}
       134:{1,3,5}:{(92,1),(112,1),(171,1),(178,1),(183,1)}
       135:{1,2,4,5,7}:{(92,1),(93,1),(101,1),(113,1),(172,1),(179,1),(184,1),(185,1),(191,1),(272,1),(281,1),(287,1),(346,1),(349,1),(359,1),(437,1),(438,1)}
       136:{1,4,6}:{(93,1),(94,1),(102,1),(186,1)}
       137:{2,5,6}:{(94,1),(95,1),(181,1),(186,1)}
       138:{1,4,5,6}:{(95,1),(104,1),(182,1),(187,1),(352,1)}
       139:{1,2,5,7}:{(96,1),(97,1),(116,1),(179,1),(188,1),(257,1)}
       140:{1,3,6,7}:{(97,1),(98,1),(102,1),(180,1),(188,1)}
       141:{2,3,5,6,7}:{(98,1),(99,1),(103,1),(181,1),(189,1),(190,1),(208,1),(274,1),(288,1),(295,1),(335,1),(338,1),(348,1),(353,1),(394,1)}
       142:{1,4,6,7}:{(99,1),(104,1),(182,1),(190,1),(346,1)}
       143:{1,2,4}:{(100,1),(183,1)}
       144:{1,2,3,5,7}:{(100,1),(101,1),(105,1),(184,1),(191,1),(192,1),(281,1),(359,1),(411,1),(440,1)}
       145:{1,2,6}:{(101,1),(102,1)}
       146:{1,3,5,6}:{(102,1),(103,1),(107,1),(186,1),(193,1),(194,1),(283,1)}
       147:{2,4,6}:{(103,1),(104,1),(108,1),(194,1),(195,1)}
       148:{1,2,3,6,7}:{(105,1),(106,1),(192,1),(196,1),(271,1),(283,1),(353,1),(408,1)}
       149:{1,2,5,7}:{(106,1),(107,1),(193,1),(281,1),(348,1)}
       150:{1,4,5,7}:{(107,1),(108,1),(194,1),(346,1),(349,1)}
       151:{3,4,5,7}:{(108,1),(195,1),(274,1),(360,1),(363,1),(396,1),(399,1)}
       152:{2,3,6}:{(109,1),(112,1),(178,1),(199,1)}
       153:{2,4,7}:{(109,1),(110,1),(116,1),(199,1)}
       154:{1,3,4,6,7}:{(110,1),(111,1),(114,1),(117,1),(180,1),(200,1),(201,1),(209,1),(271,1),(295,1),(346,1),(354,1),(360,1),(366,1),(412,1)}
       155:{2,3,5,7}:{(111,1),(115,1),(181,1),(201,1),(202,1),(274,1),(348,1)}
       156:{2,3,4}:{(112,1),(183,1)}
       157:{2,3,5,7}:{(112,1),(113,1),(184,1),(199,1),(203,1),(204,1),(291,1),(441,1),(442,1)}
       158:{2,4,6}:{(113,1),(114,1),(204,1),(205,1)}
       159:{1,3,5,6}:{(114,1),(115,1),(186,1),(201,1),(205,1),(206,1),(293,1),(352,1)}
       160:{2,4,5,6}:{(115,1),(202,1),(206,1),(207,1),(342,1)}
       161:{2,6,7}:{(116,1),(117,1)}
       162:{1,3,5,6,7}:{(117,1),(118,1),(119,1),(201,1),(208,1),(209,1),(295,1),(297,1),(366,1)}
       163:{2,4,6,7}:{(118,1),(202,1),(209,1),(210,1)}
       164:{1,4,5,6,7}:{(119,1),(120,1),(209,1),(211,1),(273,1)}
       165:{3,5,6,7}:{(120,1),(210,1),(274,1),(295,1)}
       166:{1,3,5,6}:{(121,1),(122,1),(127,1),(212,1),(213,1)}
       167:{2,3,5,7}:{(121,1),(123,1),(128,1),(213,1),(214,1),(370,1)}
       168:{2,4,6}:{(122,1),(124,1),(212,1),(215,1),(216,1)}
       169:{1,3,4,7}:{(122,1),(123,1),(131,1),(213,1),(216,1),(227,1)}
       170:{2,3,4,6,7}:{(123,1),(126,1),(132,1),(214,1),(217,1),(218,1),(238,1),(246,1),(300,1),(319,1),(326,1),(416,1),(418,1)}
       171:{2,3,5}:{(124,1),(134,1),(215,1),(219,1)}
       172:{2,4,5,7}:{(124,1),(125,1),(216,1),(220,1),(221,1),(302,1),(369,1),(372,1),(444,1),(445,1)}
       173:{1,3,4,6}:{(125,1),(126,1),(136,1),(221,1),(222,1),(232,1),(315,1),(323,1),(373,1)}
       174:{2,3,5,6}:{(126,1),(137,1),(218,1),(222,1),(223,1),(235,1),(317,1)}
       175:{1,4,5,7}:{(127,1),(128,1),(131,1),(213,1),(224,1),(229,1)}
       176:{2,4,6,7}:{(128,1),(129,1),(214,1),(224,1),(225,1),(298,1)}
       177:{1,3,5,6,7}:{(129,1),(133,1),(225,1),(226,1),(310,1)}
       178:{1,3,6}:{(130,1),(134,1),(152,1),(215,1),(227,1)}
       179:{1,2,4,7}:{(130,1),(131,1),(139,1),(153,1),(216,1),(227,1)}
       180:{1,4,6,7}:{(131,1),(132,1),(136,1),(140,1),(229,1)}
       181:{2,5,7}:{(132,1),(133,1),(137,1),(229,1)}
       182:{1,4,5,7}:{(133,1),(138,1),(142,1),(230,1),(379,1)}
       183:{1,3,4}:{(134,1),(143,1),(156,1),(219,1)}
       184:{1,3,5,7}:{(134,1),(135,1),(157,1),(220,1),(227,1),(231,1),(232,1),(314,1),(447,1),(448,1)}
       185:{1,2,4,6}:{(135,1),(136,1),(145,1),(158,1),(221,1),(232,1),(233,1),(315,1),(323,1),(386,1)}
       186:{1,5,6}:{(136,1),(137,1),(229,1)}
       187:{2,4,5,6}:{(137,1),(138,1),(147,1),(230,1),(234,1),(235,1),(317,1)}
       188:{1,2,6,7}:{(139,1),(140,1),(145,1),(161,1),(298,1)}
       189:{1,3,5,6,7}:{(140,1),(141,1),(146,1),(229,1),(236,1),(237,1),(311,1),(313,1),(318,1)}
       190:{2,4,6,7}:{(141,1),(142,1),(147,1),(230,1),(237,1),(238,1),(326,1),(369,1)}
       191:{1,2,4,7}:{(143,1),(144,1),(231,1),(239,1),(449,1)}
       192:{1,2,3,6}:{(144,1),(145,1),(232,1),(239,1),(386,1)}
       193:{1,2,5,6}:{(145,1),(146,1),(149,1),(241,1),(317,1)}
       194:{1,4,6}:{(146,1),(147,1),(150,1)}
       195:{3,4,6}:{(147,1),(151,1),(235,1)}
       196:{1,2,3,5,7}:{(148,1),(149,1),(240,1),(243,1),(244,1),(311,1),(378,1),(424,1),(447,1)}
       197:{1,2,4,5,7}:{(149,1),(150,1),(241,1),(243,1),(244,1),(245,1),(320,1)}
       198:{1,3,4,5,7}:{(150,1),(151,1),(242,1),(244,1),(245,1),(313,1),(377,1),(380,1)}
       199:{2,3,7}:{(152,1),(153,1),(227,1)}
       200:{2,4,6,7}:{(153,1),(154,1),(158,1),(161,1),(246,1),(247,1),(326,1),(393,1),(429,1)}
       201:{1,3,5,7}:{(154,1),(155,1),(159,1),(229,1),(247,1),(248,1),(327,1),(379,1)}
       202:{2,4,5,7}:{(155,1),(160,1),(163,1),(248,1),(249,1),(369,1)}
       203:{2,3,4,7}:{(156,1),(157,1),(231,1),(250,1),(326,1),(450,1)}
       204:{2,3,6}:{(157,1),(158,1),(232,1)}
       205:{2,5,6}:{(158,1),(159,1),(247,1)}
       206:{1,4,5,6}:{(159,1),(160,1),(248,1),(252,1),(315,1)}
       207:{3,4,5,6}:{(160,1),(235,1),(249,1),(373,1)}
       208:{2,5,6,7}:{(161,1),(162,1),(247,1),(254,1),(393,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(248,1),(254,1)}
       210:{3,4,6,7}:{(163,1),(165,1),(249,1)}
       211:{1,3,5,6,7}:{(164,1),(165,1),(255,1),(256,1),(313,1)}
       212:{2,5,6}:{(166,1),(168,1),(257,1)}
       213:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(257,1),(258,1)}
       214:{2,3,6,7}:{(167,1),(176,1),(258,1),(394,1)}
       215:{2,3,6}:{(168,1),(171,1),(178,1),(260,1)}
       216:{2,4,7}:{(168,1),(169,1),(257,1),(260,1)}
       217:{1,3,4,6,7}:{(169,1),(170,1),(173,1),(180,1),(258,1),(261,1),(262,1),(271,1),(336,1),(346,1),(354,1),(394,1),(396,1),(432,1),(433,1)}
       218:{2,3,5,7}:{(170,1),(174,1),(181,1),(262,1),(263,1),(274,1),(348,1)}
       219:{2,3,4}:{(171,1),(183,1)}
       220:{2,3,5,7}:{(171,1),(172,1),(184,1),(260,1),(264,1),(265,1),(341,1),(451,1),(452,1)}
       221:{2,4,6}:{(172,1),(173,1),(265,1),(266,1)}
       222:{1,3,5,6}:{(173,1),(174,1),(186,1),(262,1),(266,1),(267,1),(343,1),(352,1)}
       223:{2,4,5,6}:{(174,1),(263,1),(267,1),(268,1),(292,1)}
       224:{1,4,6,7}:{(175,1),(176,1),(258,1),(269,1)}
       225:{2,5,6,7}:{(176,1),(177,1),(181,1),(269,1)}
       226:{1,4,5,6,7}:{(177,1),(182,1),(270,1),(336,1),(402,1)}
       227:{1,3,7}:{(178,1),(179,1),(199,1),(260,1)}
       228:{1,2,4,6,7}:{(179,1),(180,1),(185,1),(188,1),(200,1),(261,1),(271,1),(272,1),(346,1),(354,1),(408,1),(437,1)}
       229:{1,5,7}:{(180,1),(181,1),(186,1)}
       230:{2,4,5,7}:{(181,1),(182,1),(187,1),(190,1),(273,1),(274,1),(348,1)}
       231:{1,3,4,7}:{(183,1),(184,1),(191,1),(203,1),(264,1),(275,1),(346,1),(453,1)}
       232:{1,3,6}:{(184,1),(185,1),(204,1),(265,1)}
       233:{1,2,5,6}:{(185,1),(186,1),(205,1),(266,1),(272,1),(276,1),(281,1),(352,1)}
       234:{1,4,5,6}:{(186,1),(187,1),(194,1),(273,1),(278,1)}
       235:{3,5,6}:{(187,1),(195,1),(274,1)}
       236:{1,2,5,6,7}:{(188,1),(189,1),(193,1),(208,1),(272,1),(279,1),(297,1),(335,1),(348,1),(402,1)}
       237:{1,4,6,7}:{(189,1),(190,1),(194,1),(273,1),(346,1)}
       238:{3,4,6,7}:{(190,1),(195,1),(274,1),(295,1),(360,1),(394,1),(396,1)}
       239:{1,2,4,6}:{(191,1),(192,1),(275,1),(281,1)}
       240:{1,2,3,5,6}:{(192,1),(193,1),(196,1),(276,1),(281,1),(282,1),(283,1),(351,1),(355,1),(407,1),(439,1),(440,1)}
       241:{1,2,4,6}:{(193,1),(194,1),(197,1),(283,1),(284,1)}
       242:{1,3,4,6}:{(194,1),(195,1),(198,1),(278,1),(283,1),(284,1)}
       243:{1,2,4,7}:{(196,1),(282,1),(285,1),(346,1),(403,1)}
       244:{1,3,5,7}:{(197,1),(283,1),(285,1),(286,1),(355,1)}
       245:{2,4,5,7}:{(198,1),(284,1),(286,1),(287,1),(348,1),(403,1),(405,1)}
       246:{2,3,6,7}:{(199,1),(200,1),(204,1),(271,1),(288,1),(295,1),(441,1)}
       247:{2,5,7}:{(200,1),(201,1),(205,1)}
       248:{1,4,5,7}:{(201,1),(202,1),(206,1),(209,1),(289,1),(346,1)}
       249:{3,4,5,7}:{(202,1),(207,1),(210,1),(274,1),(396,1)}
       250:{2,3,4,6}:{(203,1),(204,1),(275,1),(291,1),(292,1)}
       251:{2,3,5,6}:{(204,1),(205,1),(276,1),(288,1),(291,1),(292,1),(293,1)}
       252:{2,4,5,6}:{(205,1),(206,1),(289,1),(292,1),(293,1)}
       253:{1,3,4,5,6}:{(206,1),(207,1),(278,1),(290,1),(293,1),(294,1),(350,1),(365,1)}
       254:{2,4,6,7}:{(208,1),(209,1),(289,1),(295,1)}
       255:{1,3,4,6,7}:{(209,1),(210,1),(211,1),(290,1),(295,1),(296,1),(366,1)}
       256:{2,5,6,7}:{(211,1),(296,1),(297,1),(348,1)}
       257:{2,5,7}:{(212,1),(213,1),(216,1),(298,1)}
       258:{1,3,6,7}:{(213,1),(214,1),(224,1),(298,1)}
       259:{2,3,5,6,7}:{(214,1),(218,1),(225,1),(299,1),(300,1),(310,1),(376,1),(416,1)}
       260:{2,3,7}:{(215,1),(216,1),(227,1)}
       261:{2,4,6,7}:{(216,1),(217,1),(221,1),(298,1),(301,1),(302,1),(369,1),(443,1),(444,1)}
       262:{1,3,5,7}:{(217,1),(218,1),(222,1),(229,1),(302,1),(303,1),(370,1),(379,1)}
       263:{2,4,5,7}:{(218,1),(223,1),(300,1),(303,1),(304,1),(326,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(231,1),(305,1),(369,1),(454,1)}
       265:{2,3,6}:{(220,1),(221,1),(232,1)}
       266:{2,5,6}:{(221,1),(222,1),(302,1)}
       267:{1,4,5,6}:{(222,1),(223,1),(303,1),(307,1),(315,1)}
       268:{3,4,5,6}:{(223,1),(235,1),(304,1),(330,1)}
       269:{1,5,6,7}:{(224,1),(225,1),(229,1)}
       270:{2,4,5,6,7}:{(225,1),(226,1),(230,1),(300,1),(309,1),(310,1),(367,1),(376,1)}
       271:{1,3,6,7}:{(227,1),(228,1),(232,1),(246,1),(301,1),(311,1),(447,1)}
       272:{1,2,5,7}:{(228,1),(229,1),(233,1),(247,1),(302,1),(311,1),(379,1)}
       273:{1,4,5,7}:{(229,1),(230,1),(234,1),(237,1),(313,1)}
       274:{3,5,7}:{(230,1),(235,1),(238,1)}
       275:{1,3,4,6}:{(231,1),(232,1),(239,1),(250,1),(305,1),(314,1),(315,1)}
       276:{1,3,5,6}:{(232,1),(233,1),(251,1),(306,1),(311,1),(314,1),(315,1)}
       277:{1,2,4,5,6}:{(233,1),(234,1),(241,1),(252,1),(307,1),(312,1),(315,1),(316,1),(317,1),(320,1),(332,1),(375,1),(381,1),(392,1),(422,1),(426,1)}
       278:{1,3,5,6}:{(234,1),(235,1),(242,1),(313,1),(317,1)}
       279:{1,2,4,6,7}:{(236,1),(237,1),(241,1),(254,1),(312,1),(318,1),(319,1),(334,1),(367,1),(393,1),(417,1),(443,1)}
       280:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(313,1),(318,1),(319,1),(377,1)}
       281:{1,2,5}:{(239,1),(314,1)}
       282:{1,2,4,6}:{(240,1),(243,1),(315,1),(320,1),(321,1),(381,1),(449,1)}
       283:{1,3,6}:{(241,1),(244,1),(322,1)}
       284:{2,4,6}:{(242,1),(245,1),(317,1),(322,1),(323,1)}
       285:{1,3,4,7}:{(243,1),(244,1),(321,1),(324,1),(447,1)}
       286:{2,3,5,7}:{(244,1),(245,1),(322,1),(324,1),(325,1),(384,1)}
       287:{1,4,5,7}:{(245,1),(323,1),(325,1),(379,1),(423,1),(425,1)}
       288:{2,3,5,7}:{(246,1),(247,1),(251,1),(311,1),(326,1),(327,1)}
       289:{2,4,5,7}:{(247,1),(248,1),(252,1),(254,1),(326,1),(327,1)}
       290:{1,3,4,5,7}:{(248,1),(249,1),(253,1),(255,1),(313,1),(327,1),(328,1),(377,1),(389,1)}
       291:{2,3,5}:{(250,1),(314,1),(329,1)}
       292:{2,4,6}:{(251,1),(315,1),(326,1),(329,1),(330,1)}
       293:{3,5,6}:{(252,1),(327,1),(330,1)}
       294:{2,4,5,6}:{(253,1),(317,1),(328,1),(331,1),(332,1),(381,1),(392,1)}
       295:{3,6,7}:{(254,1),(327,1)}
       296:{2,4,6,7}:{(255,1),(256,1),(328,1),(333,1),(334,1),(393,1)}
       297:{1,5,6,7}:{(256,1),(334,1),(379,1)}
       298:{2,6,7}:{(257,1),(258,1)}
       299:{1,3,5,6,7}:{(258,1),(259,1),(262,1),(269,1),(335,1),(336,1),(394,1),(402,1),(432,1)}
       300:{2,4,6,7}:{(259,1),(263,1),(336,1),(337,1)}
       301:{2,3,6,7}:{(260,1),(261,1),(265,1),(271,1),(338,1),(394,1),(451,1)}
       302:{2,5,7}:{(261,1),(262,1),(266,1)}
       303:{1,4,5,7}:{(262,1),(263,1),(267,1),(336,1),(339,1),(346,1)}
       304:{3,4,5,7}:{(263,1),(268,1),(274,1),(337,1),(360,1)}
       305:{2,3,4,6}:{(264,1),(265,1),(275,1),(341,1),(342,1)}
       306:{2,3,5,6}:{(265,1),(266,1),(276,1),(338,1),(341,1),(342,1),(343,1)}
       307:{2,4,5,6}:{(266,1),(267,1),(339,1),(342,1),(343,1)}
       308:{1,3,4,5,6}:{(267,1),(268,1),(278,1),(340,1),(343,1),(344,1),(350,1),(401,1)}
       309:{1,4,5,6,7}:{(269,1),(270,1),(273,1),(336,1),(345,1)}
       310:{3,5,6,7}:{(270,1),(274,1),(337,1),(394,1)}
       311:{1,3,5,7}:{(271,1),(272,1),(276,1),(288,1),(338,1),(346,1)}
       312:{1,2,4,5,7}:{(272,1),(273,1),(277,1),(279,1),(289,1),(339,1),(346,1),(347,1),(348,1),(362,1),(398,1),(403,1),(413,1),(434,1),(437,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(278,1),(280,1),(348,1)}
       314:{1,3,5}:{(275,1),(281,1),(291,1),(341,1),(349,1)}
       315:{1,4,6}:{(276,1),(292,1),(342,1),(346,1),(349,1)}
       316:{1,3,5,6}:{(277,1),(283,1),(293,1),(343,1),(347,1),(350,1),(351,1),(355,1),(439,1)}
       317:{2,5,6}:{(278,1),(284,1),(348,1),(352,1)}
       318:{1,3,6,7}:{(279,1),(283,1),(295,1),(347,1),(353,1),(394,1)}
       319:{2,4,6,7}:{(280,1),(284,1),(348,1),(353,1),(354,1),(403,1)}
       320:{1,2,4,5}:{(281,1),(282,1),(349,1),(355,1),(405,1)}
       321:{1,3,4,6}:{(282,1),(283,1),(285,1),(355,1),(356,1),(439,1),(453,1)}
       322:{2,3,6}:{(283,1),(284,1),(286,1),(357,1)}
       323:{1,4,6}:{(284,1),(287,1),(352,1),(357,1)}
       324:{2,3,4,7}:{(285,1),(286,1),(356,1),(358,1),(403,1),(441,1),(451,1)}
       325:{1,3,5,7}:{(286,1),(287,1),(357,1),(358,1),(359,1),(409,1)}
       326:{2,4,7}:{(288,1),(292,1),(346,1),(360,1)}
       327:{3,5,7}:{(289,1),(293,1),(295,1),(360,1)}
       328:{2,4,5,7}:{(290,1),(294,1),(296,1),(348,1),(361,1),(362,1),(403,1),(413,1)}
       329:{2,4,5}:{(291,1),(292,1),(349,1),(363,1)}
       330:{3,4,6}:{(292,1),(293,1),(360,1),(363,1)}
       331:{2,3,5,6}:{(293,1),(294,1),(361,1),(364,1),(365,1)}
       332:{1,4,5,6}:{(294,1),(352,1),(362,1),(365,1),(406,1)}
       333:{2,3,6,7}:{(295,1),(296,1),(361,1),(366,1)}
       334:{1,4,6,7}:{(296,1),(297,1),(362,1),(366,1)}
       335:{2,5,6,7}:{(298,1),(299,1),(302,1),(367,1),(443,1)}
       336:{1,4,6,7}:{(299,1),(300,1),(303,1),(367,1)}
       337:{3,4,6,7}:{(300,1),(304,1),(310,1)}
       338:{2,3,5,7}:{(301,1),(302,1),(306,1),(311,1),(369,1),(370,1)}
       339:{2,4,5,7}:{(302,1),(303,1),(307,1),(367,1),(369,1),(370,1)}
       340:{1,3,4,5,7}:{(303,1),(304,1),(308,1),(313,1),(368,1),(370,1),(371,1),(377,1),(419,1)}
       341:{2,3,5}:{(305,1),(314,1),(372,1)}
       342:{2,4,6}:{(306,1),(315,1),(369,1),(372,1),(373,1)}
       343:{3,5,6}:{(307,1),(370,1),(373,1)}
       344:{2,4,5,6}:{(308,1),(317,1),(371,1),(374,1),(375,1),(381,1),(422,1)}
       345:{1,3,5,6,7}:{(309,1),(310,1),(313,1),(368,1),(376,1)}
       346:{1,4,7}:{(311,1),(315,1),(326,1),(369,1)}
       347:{1,3,5,7}:{(312,1),(316,1),(318,1),(327,1),(370,1),(377,1),(378,1),(447,1)}
       348:{2,5,7}:{(313,1),(317,1),(319,1),(379,1)}
       349:{1,4,5}:{(314,1),(315,1),(329,1),(372,1)}
       350:{1,3,4,6}:{(315,1),(316,1),(330,1),(373,1),(377,1),(380,1),(381,1)}
       351:{2,3,5,6}:{(316,1),(317,1),(322,1),(378,1),(381,1),(382,1),(384,1),(392,1),(422,1),(431,1),(446,1)}
       352:{1,5,6}:{(317,1),(323,1),(379,1)}
       353:{2,3,6,7}:{(318,1),(319,1),(322,1),(378,1),(383,1),(393,1),(443,1)}
       354:{1,4,6,7}:{(319,1),(323,1),(379,1),(383,1),(423,1)}
       355:{1,3,5}:{(320,1),(321,1),(384,1)}
       356:{2,3,4,6}:{(321,1),(322,1),(324,1),(381,1),(384,1),(385,1),(431,1),(446,1),(450,1),(454,1)}
       357:{1,3,6}:{(322,1),(323,1),(325,1),(386,1)}
       358:{1,3,4,7}:{(324,1),(325,1),(385,1),(387,1),(423,1),(447,1)}
       359:{1,2,5,7}:{(325,1),(386,1),(387,1),(427,1)}
       360:{3,4,7}:{(326,1),(327,1),(330,1)}
       361:{2,3,5,7}:{(327,1),(328,1),(331,1),(333,1),(388,1),(389,1)}
       362:{1,4,5,7}:{(328,1),(332,1),(334,1),(379,1),(389,1),(423,1)}
       363:{3,4,5}:{(329,1),(330,1)}
       364:{2,3,4,6}:{(330,1),(331,1),(381,1),(388,1),(390,1),(391,1),(446,1)}
       365:{1,3,5,6}:{(331,1),(332,1),(389,1),(391,1),(392,1)}
       366:{1,3,6,7}:{(333,1),(334,1),(389,1),(393,1)}
       367:{2,4,6,7}:{(335,1),(336,1),(339,1),(394,1)}
       368:{1,3,4,6,7}:{(336,1),(337,1),(340,1),(345,1),(394,1),(395,1),(432,1)}
       369:{2,4,7}:{(338,1),(342,1),(346,1),(396,1)}
       370:{3,5,7}:{(339,1),(343,1),(394,1),(396,1)}
       371:{2,4,5,7}:{(340,1),(344,1),(348,1),(395,1),(397,1),(398,1),(403,1),(434,1)}
       372:{2,4,5}:{(341,1),(342,1),(349,1),(399,1)}
       373:{3,4,6}:{(342,1),(343,1),(396,1),(399,1)}
       374:{2,3,5,6}:{(343,1),(344,1),(397,1),(400,1),(401,1)}
       375:{1,4,5,6}:{(344,1),(352,1),(398,1),(401,1),(406,1)}
       376:{2,5,6,7}:{(345,1),(348,1),(395,1),(402,1)}
       377:{1,3,4,7}:{(346,1),(347,1),(350,1),(360,1),(396,1),(403,1)}
       378:{2,3,5,7}:{(347,1),(348,1),(351,1),(353,1),(403,1),(404,1),(413,1),(434,1),(441,1),(451,1)}
       379:{1,5,7}:{(348,1),(352,1),(354,1)}
       380:{1,3,4,5}:{(349,1),(350,1),(355,1),(363,1),(399,1),(405,1)}
       381:{2,4,6}:{(350,1),(351,1),(403,1),(405,1),(406,1)}
       382:{1,3,5,6}:{(351,1),(352,1),(357,1),(404,1),(406,1),(407,1),(409,1),(439,1)}
       383:{1,3,6,7}:{(353,1),(354,1),(357,1),(404,1),(408,1)}
       384:{2,3,5}:{(355,1),(356,1),(405,1),(409,1)}
       385:{1,3,4,6}:{(356,1),(357,1),(358,1),(406,1),(409,1),(410,1),(439,1),(453,1)}
       386:{1,2,6}:{(357,1),(359,1)}
       387:{1,2,4,7}:{(358,1),(359,1),(410,1),(411,1)}
       388:{2,3,4,7}:{(360,1),(361,1),(364,1),(403,1),(412,1),(451,1)}
       389:{1,3,5,7}:{(361,1),(362,1),(365,1),(366,1),(412,1),(413,1)}
       390:{2,3,4,5}:{(363,1),(364,1),(405,1),(414,1),(452,1)}
       391:{1,3,4,6}:{(364,1),(365,1),(406,1),(412,1),(414,1),(415,1),(439,1)}
       392:{2,5,6}:{(365,1),(413,1),(415,1)}
       393:{2,6,7}:{(366,1),(413,1)}
       394:{3,6,7}:{(367,1),(370,1)}
       395:{2,4,6,7}:{(368,1),(371,1),(376,1),(416,1),(417,1),(443,1)}
       396:{3,4,7}:{(369,1),(370,1),(373,1)}
       397:{2,3,5,7}:{(370,1),(371,1),(374,1),(416,1),(418,1),(419,1)}
       398:{1,4,5,7}:{(371,1),(375,1),(379,1),(417,1),(419,1),(423,1)}
       399:{3,4,5}:{(372,1),(373,1)}
       400:{2,3,4,6}:{(373,1),(374,1),(381,1),(418,1),(420,1),(421,1),(431,1)}
       401:{1,3,5,6}:{(374,1),(375,1),(419,1),(421,1),(422,1)}
       402:{1,5,6,7}:{(376,1),(379,1),(417,1)}
       403:{2,4,7}:{(377,1),(378,1),(381,1),(423,1)}
       404:{1,3,5,7}:{(378,1),(379,1),(382,1),(383,1),(423,1),(424,1),(447,1)}
       405:{2,4,5}:{(380,1),(381,1),(384,1),(425,1)}
       406:{1,4,6}:{(381,1),(382,1),(423,1),(425,1)}
       407:{1,2,5,6}:{(382,1),(386,1),(392,1),(422,1),(424,1),(426,1),(427,1)}
       408:{1,2,6,7}:{(383,1),(386,1),(393,1),(424,1),(443,1)}
       409:{1,3,5}:{(384,1),(385,1),(425,1),(427,1)}
       410:{1,2,4,6}:{(385,1),(386,1),(387,1),(427,1),(428,1),(449,1)}
       411:{1,2,3,7}:{(387,1),(428,1),(447,1)}
       412:{1,3,4,7}:{(388,1),(389,1),(391,1),(423,1),(429,1),(447,1)}
       413:{2,5,7}:{(389,1),(392,1),(393,1),(429,1)}
       414:{1,3,4,5}:{(390,1),(391,1),(425,1),(430,1),(448,1)}
       415:{2,4,6}:{(391,1),(392,1),(429,1),(430,1),(431,1)}
       416:{2,3,6,7}:{(394,1),(395,1),(397,1),(432,1)}
       417:{1,4,6,7}:{(395,1),(398,1),(402,1),(432,1)}
       418:{2,3,4,7}:{(396,1),(397,1),(400,1),(403,1),(433,1),(441,1)}
       419:{1,3,5,7}:{(397,1),(398,1),(401,1),(432,1),(433,1),(434,1)}
       420:{2,3,4,5}:{(399,1),(400,1),(405,1),(435,1),(442,1)}
       421:{1,3,4,6}:{(400,1),(401,1),(406,1),(433,1),(435,1),(436,1),(439,1)}
       422:{2,5,6}:{(401,1),(434,1),(436,1)}
       423:{1,4,7}:{(403,1),(404,1),(406,1)}
       424:{1,2,5,7}:{(404,1),(407,1),(408,1),(413,1),(434,1),(437,1)}
       425:{1,4,5}:{(405,1),(406,1),(409,1)}
       426:{1,2,4,6}:{(406,1),(407,1),(415,1),(436,1),(437,1),(438,1),(439,1)}
       427:{1,2,5}:{(409,1),(410,1)}
       428:{1,2,3,6}:{(410,1),(411,1),(439,1),(440,1)}
       429:{2,4,7}:{(412,1),(413,1),(415,1),(441,1)}
       430:{2,4,5}:{(414,1),(415,1),(442,1)}
       431:{2,3,6}:{(415,1),(439,1),(441,1),(442,1)}
       432:{1,3,6,7}:{(416,1),(417,1),(419,1),(443,1)}
       433:{1,3,4,7}:{(418,1),(419,1),(421,1),(423,1),(444,1),(447,1)}
       434:{2,5,7}:{(419,1),(422,1),(443,1),(444,1)}
       435:{1,3,4,5}:{(420,1),(421,1),(425,1),(445,1),(448,1)}
       436:{2,4,6}:{(421,1),(422,1),(444,1),(445,1),(446,1)}
       437:{1,2,4,7}:{(423,1),(424,1),(426,1),(429,1),(444,1),(447,1)}
       438:{1,2,4,5}:{(425,1),(426,1),(427,1),(430,1),(445,1),(448,1),(449,1)}
       439:{1,3,6}:{(426,1),(431,1),(446,1),(447,1),(448,1)}
       440:{1,2,3,5}:{(427,1),(428,1),(448,1),(449,1)}
       441:{2,3,7}:{(429,1),(431,1),(447,1)}
       442:{2,3,5}:{(430,1),(431,1),(448,1),(450,1)}
       443:{2,6,7}:{(432,1),(434,1)}
       444:{2,4,7}:{(433,1),(434,1),(436,1),(451,1)}
       445:{2,4,5}:{(435,1),(436,1),(452,1)}
       446:{2,3,6}:{(436,1),(439,1),(451,1),(452,1)}
       447:{1,3,7}:{(437,1),(439,1),(441,1),(451,1)}
       448:{1,3,5}:{(438,1),(439,1),(442,1),(452,1),(453,1)}
       449:{1,2,4}:{(440,1),(453,1)}
       450:{2,3,4}:{(442,1),(453,1)}
       451:{2,3,7}:{(444,1),(446,1),(447,1)}
       452:{2,3,5}:{(445,1),(446,1),(448,1),(454,1)}
       453:{1,3,4}:{(448,1),(449,1),(450,1),(454,1)}
       454:{2,3,4}:{(452,1),(453,1)}

1929 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1930 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

1931 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(123,1),(178,1),(183,1),(189,1),(213,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(25,1),(29,1),(146,1),(150,1),(244,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(38,1),(72,1),(86,1),(149,1),(166,1),(168,1),(237,1),(260,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(225,1),(238,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(47,1),(292,1)}
         5:{1,2,4,7}:{(1,1),(11,1),(14,1),(192,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(125,1),(210,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(56,1),(60,1),(125,1),(211,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(47,1),(107,1),(124,1),(287,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(269,1),(283,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(64,1),(101,1),(183,1),(213,1),(215,1),(273,1),(288,1)}
        11:{1,3,4,7}:{(5,1),(6,1),(23,1),(24,1),(25,1),(149,1),(240,1)}
        12:{1,2,3,6,7}:{(4,1),(26,1),(27,1),(74,1),(150,1),(153,1),(233,1),(246,1),(335,1),(391,1)}
        13:{1,2,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(73,1),(77,1),(79,1),(146,1),(153,1),(157,1),(233,1),(247,1),(327,1),(333,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(24,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(25,1),(29,1),(30,1),(66,1),(72,1),(81,1),(149,1),(237,1),(241,1),(244,1),(334,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(33,1),(34,1),(87,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(25,1),(33,1),(34,1),(258,1),(343,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(35,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(35,1),(37,1),(38,1),(90,1),(328,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(36,1),(38,1),(74,1),(92,1),(149,1),(168,1),(170,1),(260,1),(263,1),(332,1)}
        21:{2,4,5,6}:{(9,1),(37,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(38,1),(41,1),(315,1),(329,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,3,4,6}:{(11,1),(14,1),(16,1),(42,1),(46,1),(47,1),(107,1)}
        25:{1,3,5,7}:{(11,1),(15,1),(17,1),(43,1),(46,1),(47,1),(289,1),(367,1)}
        26:{1,2,3,5,7}:{(12,1),(13,1),(48,1),(49,1),(108,1),(110,1),(202,1),(294,1),(367,1),(408,1)}
        27:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(111,1),(196,1),(282,1),(288,1),(292,1)}
        28:{1,2,4,6}:{(13,1),(48,1),(50,1),(51,1),(107,1),(192,1),(194,1),(407,1)}
        29:{1,2,5}:{(14,1),(46,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(47,1),(52,1),(97,1),(107,1),(287,1),(292,1)}
        31:{2,3,4,5,7}:{(17,1),(44,1),(54,1),(56,1),(119,1),(120,1),(125,1),(181,1),(189,1),(277,1)}
        32:{2,3,4,6,7}:{(16,1),(45,1),(55,1),(58,1),(109,1),(121,1),(125,1),(198,1),(209,1),(288,1),(352,1),(406,1),(424,1)}
        33:{2,3,5}:{(16,1),(46,1),(56,1)}
        34:{2,3,6}:{(17,1),(18,1),(47,1)}
        35:{2,5,6}:{(18,1),(19,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(20,1),(58,1),(60,1),(125,1),(305,1),(308,1)}
        37:{1,4,5,6}:{(19,1),(21,1),(59,1),(63,1),(107,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(22,1),(60,1),(63,1),(128,1),(364,1)}
        39:{2,3,5,6,7}:{(22,1),(61,1),(64,1),(133,1),(215,1),(218,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(269,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(63,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(24,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(66,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,5,7}:{(25,1),(31,1),(66,1),(70,1),(72,1),(138,1),(142,1),(149,1),(227,1),(229,1),(237,1),(322,1)}
        45:{1,3,4,6,7}:{(24,1),(27,1),(32,1),(67,1),(71,1),(74,1),(75,1),(144,1),(149,1),(151,1),(153,1),(245,1),(326,1),(332,1),(391,1),(419,1)}
        46:{1,3,5}:{(24,1),(29,1),(33,1),(68,1),(72,1)}
        47:{1,3,6}:{(25,1),(30,1),(34,1),(69,1)}
        48:{1,2,4,7}:{(26,1),(28,1),(75,1),(149,1),(243,1),(419,1)}
        49:{1,2,5,7}:{(27,1),(29,1),(71,1),(77,1),(327,1),(329,1)}
        50:{1,3,4,6}:{(28,1),(75,1),(78,1),(79,1),(153,1),(240,1),(333,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(72,1),(79,1),(147,1),(327,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(35,1),(73,1),(81,1),(134,1),(328,1)}
        53:{1,2,4,6,7}:{(30,1),(36,1),(74,1),(81,1),(135,1),(149,1),(332,1),(334,1),(335,1)}
        54:{2,3,4,6}:{(31,1),(34,1),(70,1),(82,1),(87,1),(164,1),(238,1)}
        55:{2,3,5,7}:{(32,1),(33,1),(71,1),(84,1),(85,1),(253,1),(329,1),(381,1)}
        56:{2,4,5}:{(33,1),(72,1),(86,1),(87,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(35,1),(73,1),(87,1),(88,1),(90,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(74,1),(88,1),(170,1),(343,1)}
        59:{2,4,5,6}:{(35,1),(37,1),(87,1),(90,1),(91,1)}
        60:{2,5,7}:{(35,1),(36,1),(38,1)}
        61:{1,3,5,6,7}:{(38,1),(39,1),(89,1),(92,1),(170,1),(263,1),(265,1)}
        62:{1,3,4,5,6}:{(37,1),(40,1),(90,1),(93,1),(94,1),(148,1),(171,1),(234,1),(251,1),(336,1),(393,1)}
        63:{1,4,5,7}:{(37,1),(38,1),(41,1),(91,1),(92,1),(149,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(229,1),(315,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(97,1),(99,1),(177,1),(183,1),(275,1),(359,1)}
        67:{2,3,4,6,7}:{(42,1),(45,1),(98,1),(101,1),(109,1),(179,1),(183,1),(198,1),(273,1),(288,1),(298,1),(373,1),(411,1)}
        68:{2,3,5}:{(42,1),(46,1),(99,1)}
        69:{2,3,6}:{(43,1),(47,1),(97,1)}
        70:{1,3,4,6}:{(44,1),(47,1),(54,1),(97,1),(102,1),(107,1),(182,1),(287,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(49,1),(55,1),(98,1),(104,1),(105,1),(362,1),(364,1)}
        72:{1,4,5}:{(46,1),(56,1),(99,1),(107,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(52,1),(57,1),(100,1),(107,1),(108,1)}
        74:{1,3,6,7}:{(47,1),(53,1),(58,1),(101,1),(108,1),(367,1)}
        75:{1,3,4,7}:{(48,1),(50,1),(109,1),(110,1),(367,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(104,1),(110,1),(111,1),(189,1)}
        77:{1,2,5,6}:{(49,1),(105,1),(111,1),(283,1),(292,1)}
        78:{2,3,4,6}:{(50,1),(109,1),(114,1),(115,1),(194,1),(198,1),(210,1),(274,1),(304,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(59,1),(107,1),(111,1),(116,1),(117,1),(131,1),(176,1),(187,1),(194,1),(216,1),(280,1),(283,1),(290,1),(348,1),(363,1),(368,1),(401,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(60,1),(108,1),(177,1),(364,1)}
        82:{2,3,5,6}:{(54,1),(102,1),(118,1),(119,1),(205,1),(283,1)}
        83:{2,3,4,6,7}:{(54,1),(58,1),(103,1),(119,1),(125,1),(203,1),(209,1),(277,1),(288,1),(347,1)}
        84:{2,4,5,7}:{(55,1),(56,1),(104,1),(120,1),(121,1),(125,1),(403,1),(424,1)}
        85:{2,3,5,6}:{(55,1),(105,1),(121,1),(198,1),(205,1),(283,1)}
        86:{3,4,5}:{(56,1),(124,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(124,1),(125,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(60,1),(108,1),(125,1),(128,1)}
        89:{2,5,6,7}:{(60,1),(61,1),(126,1),(308,1)}
        90:{3,5,6}:{(59,1),(124,1),(128,1)}
        91:{2,4,5,7}:{(59,1),(60,1),(63,1),(125,1),(126,1),(128,1)}
        92:{1,4,6,7}:{(61,1),(63,1),(64,1),(126,1)}
        93:{2,4,5,6}:{(62,1),(127,1),(131,1),(132,1),(194,1),(216,1),(283,1)}
        94:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(128,1),(130,1),(132,1),(195,1),(217,1),(284,1),(297,1),(369,1),(410,1)}
        95:{2,4,5,6,7}:{(64,1),(129,1),(133,1),(218,1),(270,1),(374,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(133,1)}
        97:{2,4,6}:{(66,1),(69,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(68,1),(71,1),(136,1),(137,1),(315,1),(329,1),(338,1)}
        99:{2,4,5}:{(68,1),(72,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(139,1),(140,1),(221,1)}
       101:{2,3,6,7}:{(69,1),(74,1),(135,1),(140,1),(310,1),(386,1)}
       102:{1,3,5,6}:{(70,1),(82,1),(134,1),(141,1),(142,1),(221,1),(328,1)}
       103:{1,3,4,6,7}:{(70,1),(74,1),(83,1),(135,1),(142,1),(149,1),(229,1),(230,1),(310,1),(322,1),(332,1),(377,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(84,1),(136,1),(144,1),(149,1),(388,1),(419,1)}
       105:{1,3,5,6}:{(71,1),(77,1),(85,1),(137,1),(144,1),(153,1),(245,1),(328,1)}
       106:{1,3,4,5}:{(72,1),(79,1),(86,1),(138,1),(147,1),(148,1),(388,1),(392,1),(414,1)}
       107:{1,4,6}:{(72,1),(73,1),(87,1),(139,1),(149,1)}
       108:{1,3,5,7}:{(73,1),(74,1),(81,1),(88,1),(140,1),(149,1)}
       109:{2,3,4,7}:{(75,1),(78,1),(151,1),(152,1),(243,1),(343,1),(386,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(79,1),(152,1),(153,1)}
       111:{1,2,4,6}:{(76,1),(77,1),(144,1),(153,1),(238,1)}
       112:{1,2,5,6,7}:{(77,1),(81,1),(89,1),(145,1),(154,1),(220,1),(265,1),(329,1),(335,1),(345,1),(387,1),(390,1),(413,1)}
       113:{1,2,3,6}:{(146,1),(150,1),(155,1),(333,1)}
       114:{1,3,4,6}:{(78,1),(151,1),(155,1),(156,1),(240,1),(242,1),(245,1),(333,1)}
       115:{2,3,5}:{(78,1),(79,1),(147,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(90,1),(148,1),(153,1),(157,1),(158,1),(221,1),(333,1),(393,1),(415,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(91,1),(149,1),(154,1),(158,1),(175,1),(222,1),(235,1),(243,1),(264,1),(325,1),(329,1),(334,1),(378,1),(390,1),(394,1),(416,1),(419,1)}
       118:{2,4,5,6}:{(82,1),(87,1),(141,1),(160,1),(161,1)}
       119:{2,3,5,7}:{(82,1),(83,1),(142,1),(161,1),(253,1),(329,1)}
       120:{3,4,5,7}:{(84,1),(86,1),(164,1),(168,1),(253,1),(414,1),(426,1)}
       121:{2,4,6}:{(84,1),(85,1),(144,1),(164,1)}
       122:{2,3,5,6,7}:{(85,1),(88,1),(89,1),(145,1),(165,1),(170,1),(246,1),(253,1),(329,1),(413,1),(418,1),(425,1)}
       123:{2,3,4,5}:{(86,1),(147,1),(166,1),(167,1),(320,1),(392,1)}
       124:{3,4,6}:{(86,1),(87,1),(90,1),(168,1)}
       125:{2,4,7}:{(87,1),(88,1),(149,1),(168,1)}
       126:{2,4,6,7}:{(89,1),(91,1),(92,1),(170,1)}
       127:{2,3,5,6}:{(90,1),(93,1),(167,1),(171,1),(172,1),(393,1)}
       128:{3,5,7}:{(90,1),(91,1),(168,1),(170,1)}
       129:{1,4,5,6,7}:{(92,1),(95,1),(169,1),(173,1),(235,1),(265,1),(344,1)}
       130:{1,3,4,6,7}:{(92,1),(94,1),(96,1),(170,1),(173,1),(174,1),(261,1),(263,1),(344,1),(397,1)}
       131:{1,4,5,6}:{(93,1),(171,1),(175,1),(242,1),(328,1)}
       132:{2,4,5,7}:{(93,1),(94,1),(172,1),(174,1),(175,1),(243,1),(264,1),(329,1)}
       133:{3,5,6,7}:{(95,1),(96,1),(315,1),(397,1)}
       134:{2,5,6}:{(97,1),(102,1),(177,1)}
       135:{2,4,6,7}:{(97,1),(101,1),(103,1),(177,1),(183,1),(359,1),(400,1)}
       136:{2,4,5,7}:{(98,1),(99,1),(104,1),(178,1),(179,1),(183,1),(370,1),(411,1)}
       137:{2,3,5,6}:{(98,1),(105,1),(179,1),(198,1),(269,1),(283,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(107,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(108,1),(177,1),(183,1),(268,1)}
       141:{1,4,5,6}:{(102,1),(107,1),(118,1),(176,1),(186,1)}
       142:{1,3,5,7}:{(102,1),(103,1),(119,1),(177,1),(186,1),(268,1),(364,1)}
       143:{1,3,4,5,7}:{(104,1),(106,1),(110,1),(120,1),(178,1),(189,1),(190,1),(195,1),(284,1)}
       144:{1,4,6}:{(104,1),(105,1),(121,1),(179,1)}
       145:{1,3,5,6,7}:{(105,1),(108,1),(112,1),(122,1),(180,1),(191,1),(199,1),(284,1),(293,1),(364,1),(408,1)}
       146:{1,2,3,5}:{(113,1),(192,1),(200,1),(289,1)}
       147:{2,4,5}:{(106,1),(115,1),(193,1),(194,1)}
       148:{1,3,4,6}:{(106,1),(107,1),(116,1),(124,1),(182,1),(194,1),(195,1),(407,1),(409,1),(422,1)}
       149:{1,4,7}:{(107,1),(108,1),(125,1),(183,1)}
       150:{1,2,3,7}:{(113,1),(196,1),(367,1)}
       151:{1,3,4,7}:{(109,1),(114,1),(196,1),(197,1),(291,1),(367,1)}
       152:{2,3,5,7}:{(109,1),(110,1),(115,1),(189,1),(197,1),(198,1)}
       153:{1,3,6}:{(110,1),(111,1),(198,1)}
       154:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(126,1),(191,1),(199,1),(219,1),(266,1),(288,1),(308,1),(361,1),(374,1),(400,1),(421,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(192,1),(196,1),(200,1),(292,1)}
       156:{1,3,5}:{(114,1),(115,1),(193,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(194,1),(198,1),(201,1),(202,1),(216,1),(283,1),(304,1),(348,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(128,1),(195,1),(199,1),(202,1),(268,1),(367,1),(410,1),(423,1)}
       159:{2,3,5,6,7}:{(119,1),(184,1),(203,1),(295,1),(347,1),(360,1)}
       160:{3,4,5,6}:{(118,1),(124,1),(204,1),(205,1)}
       161:{2,4,5,7}:{(118,1),(119,1),(125,1),(186,1),(203,1),(204,1)}
       162:{2,4,5,6}:{(121,1),(187,1),(205,1),(206,1),(283,1)}
       163:{2,3,4,5,7}:{(120,1),(123,1),(189,1),(207,1),(208,1),(213,1),(300,1),(355,1),(403,1),(424,1)}
       164:{3,4,6}:{(120,1),(121,1),(205,1)}
       165:{2,4,6,7}:{(121,1),(122,1),(125,1),(191,1),(206,1),(209,1),(424,1)}
       166:{1,3,4,5}:{(123,1),(193,1),(211,1),(212,1),(289,1)}
       167:{2,3,4,6}:{(123,1),(124,1),(127,1),(194,1),(212,1),(213,1),(358,1),(409,1)}
       168:{3,4,7}:{(124,1),(125,1),(128,1)}
       169:{2,4,5,6,7}:{(126,1),(129,1),(206,1),(214,1),(218,1),(306,1)}
       170:{3,6,7}:{(126,1),(128,1)}
       171:{1,3,5,6}:{(127,1),(131,1),(212,1),(216,1),(217,1)}
       172:{2,3,5,7}:{(127,1),(128,1),(132,1),(213,1),(215,1),(217,1),(410,1)}
       173:{1,3,5,6,7}:{(129,1),(130,1),(133,1),(214,1),(218,1),(284,1)}
       174:{2,4,6,7}:{(130,1),(132,1),(215,1),(218,1),(219,1),(308,1)}
       175:{1,4,5,7}:{(131,1),(132,1),(217,1),(219,1),(291,1),(364,1)}
       176:{2,4,5,6}:{(134,1),(139,1),(141,1),(221,1),(222,1)}
       177:{2,5,7}:{(134,1),(135,1),(142,1)}
       178:{3,4,5,7}:{(136,1),(138,1),(225,1),(229,1),(315,1),(392,1),(420,1)}
       179:{2,4,6}:{(136,1),(137,1),(144,1),(225,1)}
       180:{2,3,5,6,7}:{(137,1),(140,1),(145,1),(220,1),(226,1),(246,1),(310,1),(315,1),(329,1),(345,1),(396,1),(397,1)}
       181:{2,3,4,5}:{(138,1),(147,1),(227,1),(228,1),(258,1),(414,1)}
       182:{3,4,6}:{(138,1),(139,1),(221,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(149,1),(229,1)}
       184:{1,3,5,6,7}:{(142,1),(159,1),(220,1),(230,1),(310,1),(377,1),(387,1)}
       185:{1,3,4,5,6}:{(141,1),(148,1),(160,1),(221,1),(231,1),(232,1),(234,1),(311,1),(313,1),(379,1),(415,1)}
       186:{1,4,5,7}:{(141,1),(142,1),(149,1),(161,1),(222,1),(230,1)}
       187:{1,4,5,6}:{(144,1),(162,1),(223,1),(234,1),(235,1),(328,1)}
       188:{1,2,3,5,7}:{(146,1),(150,1),(233,1),(236,1),(244,1),(327,1),(330,1)}
       189:{2,4,5,7}:{(143,1),(147,1),(152,1),(237,1),(238,1),(243,1),(329,1)}
       190:{1,3,4,6}:{(143,1),(144,1),(153,1),(164,1),(225,1),(234,1),(238,1)}
       191:{1,4,6,7}:{(144,1),(145,1),(149,1),(165,1),(226,1),(235,1),(419,1)}
       192:{1,2,4}:{(146,1),(240,1)}
       193:{1,4,5}:{(147,1),(156,1),(242,1)}
       194:{2,4,6}:{(147,1),(148,1),(157,1),(242,1),(243,1)}
       195:{1,3,4,7}:{(148,1),(149,1),(158,1),(168,1),(229,1),(243,1),(419,1),(420,1),(426,1)}
       196:{1,2,4,7}:{(150,1),(151,1),(155,1),(244,1)}
       197:{1,3,5,7}:{(151,1),(152,1),(156,1),(237,1),(244,1),(245,1)}
       198:{2,3,6}:{(152,1),(153,1),(238,1),(245,1)}
       199:{1,3,6,7}:{(153,1),(154,1),(158,1),(170,1),(246,1),(310,1),(397,1),(425,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(242,1),(245,1),(247,1),(248,1),(328,1),(333,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(243,1),(246,1),(248,1),(264,1),(329,1),(343,1),(378,1),(386,1)}
       203:{2,4,6,7}:{(159,1),(161,1),(230,1),(250,1)}
       204:{3,4,5,7}:{(160,1),(161,1),(168,1),(250,1),(253,1)}
       205:{3,5,6}:{(162,1),(164,1),(253,1)}
       206:{2,4,5,7}:{(162,1),(165,1),(235,1),(253,1),(329,1)}
       207:{1,3,4,5,7}:{(163,1),(166,1),(237,1),(255,1),(256,1),(260,1),(330,1),(340,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(163,1),(164,1),(238,1),(252,1),(256,1),(384,1),(417,1)}
       209:{3,4,6,7}:{(164,1),(165,1),(168,1),(170,1),(253,1),(425,1),(426,1)}
       210:{2,3,4}:{(240,1),(258,1)}
       211:{2,4,5}:{(166,1),(258,1),(259,1)}
       212:{1,3,4,6}:{(166,1),(167,1),(171,1),(242,1),(259,1),(260,1),(333,1)}
       213:{2,3,4,7}:{(167,1),(168,1),(172,1),(243,1),(260,1),(386,1),(420,1)}
       214:{3,5,6,7}:{(169,1),(170,1),(253,1),(261,1)}
       215:{2,3,6,7}:{(170,1),(172,1),(174,1),(263,1),(397,1)}
       216:{2,5,6}:{(171,1),(259,1),(264,1)}
       217:{1,3,5,7}:{(171,1),(172,1),(175,1),(260,1),(263,1),(264,1)}
       218:{2,5,6,7}:{(173,1),(174,1),(265,1),(329,1)}
       219:{1,4,6,7}:{(174,1),(175,1),(263,1),(265,1)}
       220:{2,5,6,7}:{(177,1),(184,1),(266,1),(400,1)}
       221:{3,5,6}:{(176,1),(182,1),(268,1)}
       222:{2,4,5,7}:{(176,1),(177,1),(183,1),(186,1),(266,1),(268,1)}
       223:{2,4,5,6}:{(179,1),(187,1),(269,1),(270,1),(283,1)}
       224:{2,3,4,5,7}:{(178,1),(181,1),(189,1),(271,1),(272,1),(277,1),(301,1),(354,1),(370,1),(411,1)}
       225:{3,4,6}:{(178,1),(179,1),(269,1)}
       226:{2,4,6,7}:{(179,1),(180,1),(183,1),(191,1),(270,1),(273,1),(411,1)}
       227:{1,3,4,5}:{(181,1),(193,1),(275,1),(276,1),(289,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(194,1),(267,1),(276,1),(277,1),(304,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(268,1)}
       230:{1,4,6,7}:{(184,1),(186,1),(203,1),(266,1)}
       231:{2,4,5,6}:{(185,1),(194,1),(267,1),(280,1),(281,1),(283,1),(348,1)}
       232:{1,3,4,5,7}:{(185,1),(186,1),(195,1),(204,1),(268,1),(279,1),(281,1),(284,1),(349,1),(351,1),(402,1),(423,1)}
       233:{1,2,3,6}:{(188,1),(282,1),(292,1),(365,1)}
       234:{1,3,5,6}:{(187,1),(190,1),(205,1),(269,1),(283,1),(284,1)}
       235:{1,4,5,7}:{(187,1),(191,1),(206,1),(270,1),(284,1),(364,1)}
       236:{1,2,4,7}:{(188,1),(192,1),(282,1),(285,1)}
       237:{1,4,5,7}:{(189,1),(193,1),(197,1),(287,1),(291,1),(364,1)}
       238:{2,4,6}:{(189,1),(190,1),(198,1),(283,1),(287,1)}
       239:{1,3,4,6,7}:{(190,1),(191,1),(195,1),(199,1),(209,1),(273,1),(284,1),(288,1)}
       240:{1,3,4}:{(192,1),(210,1),(274,1),(289,1)}
       241:{1,2,4,5}:{(192,1),(193,1),(200,1),(211,1),(275,1),(289,1),(290,1)}
       242:{1,4,6}:{(193,1),(194,1),(201,1),(291,1)}
       243:{2,4,7}:{(194,1),(195,1),(202,1),(291,1)}
       244:{1,2,5,7}:{(196,1),(197,1),(200,1),(292,1)}
       245:{1,3,6}:{(197,1),(198,1),(287,1),(292,1)}
       246:{2,3,6,7}:{(198,1),(199,1),(202,1),(288,1),(293,1),(308,1),(400,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(216,1),(290,1),(292,1),(294,1),(348,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(291,1),(293,1),(294,1),(364,1),(367,1)}
       249:{2,4,5,6,7}:{(203,1),(206,1),(278,1),(295,1),(360,1),(421,1)}
       250:{3,4,6,7}:{(203,1),(204,1),(295,1)}
       251:{3,4,5,6}:{(205,1),(296,1),(297,1),(422,1)}
       252:{2,3,5,6}:{(205,1),(208,1),(283,1),(296,1),(299,1),(300,1)}
       253:{3,5,7}:{(205,1),(206,1),(209,1)}
       254:{2,3,4,7}:{(210,1),(285,1),(298,1),(301,1),(411,1)}
       255:{2,4,5,7}:{(207,1),(211,1),(301,1),(302,1),(305,1),(370,1),(372,1),(411,1)}
       256:{1,3,4,6}:{(207,1),(208,1),(287,1),(299,1),(302,1),(365,1),(407,1),(409,1)}
       257:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(215,1),(288,1),(300,1),(303,1),(306,1),(406,1),(424,1)}
       258:{2,3,5}:{(210,1),(211,1),(289,1),(304,1)}
       259:{2,4,6}:{(211,1),(212,1),(216,1),(304,1),(305,1)}
       260:{1,3,4,7}:{(212,1),(213,1),(217,1),(291,1),(305,1),(367,1)}
       261:{3,4,6,7}:{(214,1),(297,1),(306,1)}
       262:{2,3,5,6,7}:{(214,1),(215,1),(218,1),(300,1),(306,1),(307,1)}
       263:{1,3,6,7}:{(215,1),(217,1),(219,1),(308,1)}
       264:{2,5,7}:{(216,1),(217,1),(305,1),(308,1)}
       265:{1,5,6,7}:{(218,1),(219,1),(364,1)}
       266:{2,4,6,7}:{(220,1),(222,1),(230,1),(310,1)}
       267:{2,3,5,6}:{(221,1),(228,1),(231,1),(311,1),(312,1),(415,1)}
       268:{3,5,7}:{(221,1),(222,1),(229,1),(310,1)}
       269:{3,5,6}:{(223,1),(225,1),(315,1)}
       270:{2,4,5,7}:{(223,1),(226,1),(235,1),(315,1),(329,1)}
       271:{1,3,4,5,7}:{(224,1),(227,1),(237,1),(317,1),(318,1),(322,1),(330,1),(383,1),(388,1),(414,1),(419,1),(426,1)}
       272:{2,3,4,6}:{(224,1),(225,1),(238,1),(314,1),(318,1),(341,1),(395,1)}
       273:{3,4,6,7}:{(225,1),(226,1),(229,1),(310,1),(315,1),(397,1),(420,1)}
       274:{2,3,4}:{(240,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(242,1),(311,1),(321,1),(322,1),(333,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(243,1),(312,1),(322,1),(343,1),(426,1)}
       278:{1,4,5,6,7}:{(230,1),(235,1),(249,1),(309,1),(323,1),(387,1),(412,1)}
       279:{1,3,4,6,7}:{(230,1),(232,1),(250,1),(310,1),(323,1),(324,1),(375,1),(377,1),(412,1),(425,1)}
       280:{1,4,5,6}:{(231,1),(242,1),(311,1),(325,1),(328,1)}
       281:{2,4,5,7}:{(231,1),(232,1),(243,1),(312,1),(324,1),(325,1),(329,1),(378,1)}
       282:{1,2,4,6}:{(233,1),(236,1),(326,1),(327,1)}
       283:{2,5,6}:{(234,1),(238,1),(328,1),(329,1)}
       284:{1,3,5,7}:{(234,1),(235,1),(239,1),(253,1),(315,1),(329,1)}
       285:{1,3,4,7}:{(236,1),(240,1),(254,1),(316,1),(326,1),(330,1),(419,1)}
       286:{1,2,4,5,7}:{(236,1),(237,1),(241,1),(244,1),(255,1),(317,1),(327,1),(330,1),(331,1),(334,1),(388,1),(390,1),(419,1)}
       287:{1,4,6}:{(237,1),(238,1),(245,1),(328,1)}
       288:{2,4,6,7}:{(238,1),(239,1),(243,1),(246,1),(329,1),(332,1)}
       289:{1,3,5}:{(240,1),(241,1),(258,1),(320,1),(333,1)}
       290:{1,2,4,6}:{(241,1),(242,1),(247,1),(259,1),(321,1),(333,1),(334,1)}
       291:{1,4,7}:{(242,1),(243,1),(248,1)}
       292:{1,2,6}:{(244,1),(245,1)}
       293:{1,3,6,7}:{(245,1),(246,1),(248,1),(332,1),(335,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(264,1),(334,1),(335,1),(378,1)}
       295:{3,5,6,7}:{(249,1),(250,1),(253,1),(425,1)}
       296:{2,4,5,6}:{(251,1),(252,1),(336,1),(337,1),(417,1)}
       297:{3,4,5,7}:{(251,1),(253,1),(261,1),(337,1),(426,1)}
       298:{2,3,4,6}:{(254,1),(326,1),(338,1),(341,1),(395,1)}
       299:{1,3,5,6}:{(252,1),(256,1),(328,1),(336,1),(339,1),(340,1),(393,1)}
       300:{2,3,5,7}:{(252,1),(253,1),(257,1),(329,1),(337,1),(340,1)}
       301:{2,3,5,7}:{(254,1),(255,1),(258,1),(330,1),(338,1),(341,1),(343,1)}
       302:{2,4,6}:{(255,1),(256,1),(339,1),(341,1)}
       303:{1,3,4,6,7}:{(256,1),(257,1),(260,1),(263,1),(332,1),(340,1),(342,1),(344,1),(391,1),(397,1),(419,1),(420,1)}
       304:{2,3,6}:{(258,1),(259,1),(333,1),(343,1)}
       305:{2,4,7}:{(259,1),(260,1),(264,1),(343,1)}
       306:{2,4,6,7}:{(261,1),(262,1),(337,1),(344,1)}
       307:{1,3,5,6,7}:{(262,1),(263,1),(265,1),(340,1),(344,1),(345,1),(397,1)}
       308:{2,6,7}:{(263,1),(264,1)}
       309:{2,4,5,6,7}:{(266,1),(270,1),(278,1),(346,1),(360,1),(398,1)}
       310:{3,6,7}:{(266,1),(268,1)}
       311:{1,3,5,6}:{(267,1),(276,1),(280,1),(348,1),(349,1)}
       312:{2,3,5,7}:{(267,1),(268,1),(277,1),(281,1),(347,1),(349,1),(423,1)}
       313:{3,4,5,6}:{(269,1),(350,1),(351,1),(409,1)}
       314:{2,3,5,6}:{(269,1),(272,1),(283,1),(350,1),(353,1),(354,1)}
       315:{3,5,7}:{(269,1),(270,1),(273,1)}
       316:{2,3,4,7}:{(274,1),(285,1),(352,1),(355,1),(424,1)}
       317:{2,4,5,7}:{(271,1),(275,1),(355,1),(356,1),(359,1),(403,1),(405,1),(424,1)}
       318:{1,3,4,6}:{(271,1),(272,1),(287,1),(353,1),(356,1),(365,1),(407,1),(422,1)}
       319:{2,3,4,6,7}:{(272,1),(273,1),(277,1),(288,1),(347,1),(354,1),(357,1),(373,1),(398,1),(411,1)}
       320:{2,3,5}:{(274,1),(275,1),(289,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(348,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(291,1),(349,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(295,1),(346,1),(360,1)}
       324:{2,4,6,7}:{(279,1),(281,1),(347,1),(360,1),(361,1),(400,1)}
       325:{1,4,5,7}:{(280,1),(281,1),(291,1),(349,1),(361,1),(364,1)}
       326:{1,3,4,6}:{(282,1),(285,1),(298,1),(352,1),(362,1),(365,1),(407,1)}
       327:{1,2,5}:{(282,1),(362,1)}
       328:{1,5,6}:{(283,1),(287,1),(364,1)}
       329:{2,5,7}:{(283,1),(284,1),(288,1),(364,1)}
       330:{1,3,5,7}:{(285,1),(286,1),(289,1),(301,1),(355,1),(362,1),(365,1),(367,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(292,1),(302,1),(356,1),(363,1),(365,1),(407,1)}
       332:{1,4,6,7}:{(287,1),(288,1),(291,1),(293,1),(364,1)}
       333:{1,3,6}:{(289,1),(290,1),(304,1),(358,1),(367,1)}
       334:{1,2,4,7}:{(290,1),(291,1),(294,1),(305,1),(359,1),(367,1)}
       335:{1,2,6,7}:{(292,1),(293,1),(294,1),(308,1),(400,1)}
       336:{1,4,5,6}:{(296,1),(299,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(296,1),(297,1),(300,1),(306,1),(369,1),(424,1)}
       338:{2,3,5}:{(298,1),(362,1),(370,1)}
       339:{2,5,6}:{(299,1),(302,1),(372,1)}
       340:{1,3,5,7}:{(299,1),(300,1),(303,1),(364,1),(369,1),(372,1),(410,1)}
       341:{2,3,6}:{(301,1),(302,1),(365,1)}
       342:{2,4,6,7}:{(302,1),(303,1),(305,1),(308,1),(372,1),(373,1),(411,1)}
       343:{2,3,7}:{(304,1),(305,1),(367,1)}
       344:{1,4,6,7}:{(306,1),(307,1),(369,1),(374,1)}
       345:{2,5,6,7}:{(307,1),(308,1),(372,1),(374,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(315,1),(375,1)}
       347:{2,3,6,7}:{(310,1),(312,1),(324,1),(377,1),(425,1)}
       348:{2,5,6}:{(311,1),(321,1),(378,1)}
       349:{1,3,5,7}:{(311,1),(312,1),(322,1),(325,1),(377,1),(378,1)}
       350:{2,4,5,6}:{(313,1),(314,1),(379,1),(380,1),(395,1)}
       351:{3,4,5,7}:{(313,1),(315,1),(375,1),(380,1),(420,1)}
       352:{2,3,4,6}:{(316,1),(326,1),(381,1),(384,1),(417,1)}
       353:{1,3,5,6}:{(314,1),(318,1),(328,1),(379,1),(382,1),(383,1),(415,1)}
       354:{2,3,5,7}:{(314,1),(315,1),(319,1),(329,1),(380,1),(383,1)}
       355:{2,3,5,7}:{(316,1),(317,1),(320,1),(330,1),(381,1),(384,1),(386,1)}
       356:{2,4,6}:{(317,1),(318,1),(382,1),(384,1)}
       357:{1,3,4,6,7}:{(318,1),(319,1),(322,1),(332,1),(377,1),(383,1),(385,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       358:{2,3,6}:{(320,1),(321,1),(333,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(378,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(324,1),(329,1),(387,1)}
       361:{1,4,6,7}:{(324,1),(325,1),(377,1),(387,1)}
       362:{1,3,5}:{(326,1),(327,1),(338,1),(381,1),(388,1)}
       363:{1,2,5,6}:{(327,1),(328,1),(331,1),(339,1),(382,1),(389,1),(390,1)}
       364:{1,5,7}:{(328,1),(329,1),(332,1)}
       365:{1,3,6}:{(330,1),(331,1),(341,1),(384,1)}
       366:{1,2,4,6,7}:{(331,1),(332,1),(334,1),(335,1),(342,1),(385,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(333,1),(334,1),(343,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(339,1),(393,1),(394,1),(395,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(340,1),(344,1),(394,1),(419,1)}
       370:{2,4,5}:{(338,1),(388,1),(392,1),(395,1)}
       371:{2,3,5,6}:{(338,1),(339,1),(341,1),(389,1),(393,1),(395,1),(396,1)}
       372:{2,5,7}:{(339,1),(340,1),(342,1)}
       373:{2,3,6,7}:{(341,1),(342,1),(343,1),(391,1),(396,1),(397,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(394,1),(397,1)}
       375:{3,4,6,7}:{(346,1),(351,1),(398,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(354,1),(360,1),(398,1),(399,1)}
       377:{1,3,6,7}:{(347,1),(349,1),(361,1),(400,1)}
       378:{2,5,7}:{(348,1),(349,1),(359,1),(400,1)}
       379:{1,4,5,6}:{(350,1),(353,1),(401,1),(402,1),(407,1)}
       380:{2,4,5,7}:{(350,1),(351,1),(354,1),(398,1),(402,1),(411,1)}
       381:{2,3,5}:{(352,1),(362,1),(403,1)}
       382:{2,5,6}:{(353,1),(356,1),(405,1)}
       383:{1,3,5,7}:{(353,1),(354,1),(357,1),(364,1),(402,1),(405,1),(423,1)}
       384:{2,3,6}:{(355,1),(356,1),(365,1)}
       385:{2,4,6,7}:{(356,1),(357,1),(359,1),(400,1),(405,1),(406,1),(424,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(361,1),(364,1)}
       388:{1,4,5}:{(362,1),(370,1),(403,1),(407,1)}
       389:{1,3,5,6}:{(362,1),(363,1),(365,1),(371,1),(404,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(363,1),(364,1),(366,1),(372,1),(405,1),(408,1)}
       391:{1,3,6,7}:{(365,1),(366,1),(367,1),(373,1),(406,1),(408,1)}
       392:{3,4,5}:{(370,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(372,1),(374,1),(410,1),(411,1)}
       395:{2,4,6}:{(370,1),(371,1),(407,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(371,1),(372,1),(373,1),(408,1),(410,1),(411,1)}
       397:{3,6,7}:{(374,1),(410,1)}
       398:{2,4,6,7}:{(375,1),(376,1),(380,1),(412,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(383,1),(387,1),(412,1),(413,1),(425,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{2,4,5,6}:{(379,1),(382,1),(415,1),(416,1),(417,1)}
       402:{1,4,5,7}:{(379,1),(380,1),(383,1),(412,1),(416,1),(419,1)}
       403:{2,4,5}:{(381,1),(388,1),(414,1),(417,1)}
       404:{2,3,5,6}:{(381,1),(382,1),(384,1),(389,1),(415,1),(417,1),(418,1)}
       405:{2,5,7}:{(382,1),(383,1),(385,1)}
       406:{2,3,6,7}:{(384,1),(385,1),(386,1),(391,1),(418,1),(425,1)}
       407:{1,4,6}:{(388,1),(389,1),(395,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(395,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(397,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(399,1),(402,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(405,1),(421,1)}
       414:{3,4,5}:{(403,1),(422,1)}
       415:{3,5,6}:{(401,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(401,1),(402,1),(405,1),(421,1),(423,1),(424,1)}
       417:{2,4,6}:{(403,1),(404,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(404,1),(405,1),(406,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(413,1),(416,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(417,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

1932 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(44,1),(56,1),(97,1),(112,1),(114,1),(151,1),(157,1),(209,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(32,1),(79,1),(80,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(28,1),(36,1),(74,1),(81,1),(83,1),(85,1),(129,1),(141,1),(142,1),(183,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(79,1),(177,1),(182,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(20,1),(43,1),(60,1),(93,1),(111,1),(149,1),(152,1),(154,1),(157,1),(241,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(54,1),(55,1),(108,1),(109,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(52,1),(105,1),(112,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(58,1),(60,1),(157,1),(168,1),(169,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(61,1),(108,1),(156,1),(204,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(97,1),(150,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(176,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(139,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(8,1),(25,1),(28,1),(29,1),(73,1),(74,1),(81,1),(138,1),(176,1),(183,1),(184,1),(185,1),(189,1),(217,1),(235,1)}
        14:{2,4,5,7}:{(6,1),(30,1),(31,1),(32,1),(79,1),(189,1)}
        15:{2,5,6,7}:{(5,1),(33,1),(35,1),(79,1),(138,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(31,1),(33,1),(36,1)}
        17:{3,4,6,7}:{(6,1),(32,1),(37,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(35,1),(36,1),(83,1),(135,1),(141,1)}
        19:{2,4,6}:{(7,1),(10,1),(36,1),(37,1)}
        20:{2,3,6,7}:{(8,1),(28,1),(38,1),(83,1),(130,1),(192,1),(217,1)}
        21:{2,5,7}:{(8,1),(9,1),(35,1),(182,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(36,1),(39,1),(74,1),(128,1)}
        23:{3,4,5,7}:{(10,1),(32,1),(37,1),(125,1),(177,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(90,1),(147,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(60,1),(110,1)}
        28:{1,3,6,7}:{(13,1),(20,1),(44,1),(49,1),(101,1),(158,1),(206,1),(209,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(21,1),(45,1),(48,1),(49,1),(108,1),(165,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(14,1),(19,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{1,4,5,7}:{(14,1),(16,1),(51,1),(53,1),(54,1),(108,1),(164,1)}
        32:{3,5,7}:{(14,1),(17,1),(52,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(16,1),(53,1),(55,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(54,1),(55,1),(56,1),(59,1),(106,1),(109,1),(164,1),(209,1)}
        35:{2,5,6}:{(18,1),(21,1),(58,1),(168,1)}
        36:{1,4,6}:{(18,1),(19,1),(22,1),(58,1)}
        37:{3,4,6}:{(19,1),(23,1),(52,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(49,1),(57,1),(60,1),(61,1),(227,1),(241,1)}
        39:{2,4,5,7}:{(21,1),(22,1),(58,1),(60,1),(61,1),(110,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(54,1),(59,1),(61,1),(62,1),(102,1),(106,1),(115,1),(156,1),(161,1),(164,1),(207,1),(209,1),(233,1)}
        41:{2,3,5,6,7}:{(24,1),(64,1),(65,1),(117,1),(171,1),(175,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(174,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(138,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(85,1),(117,1),(139,1)}
        48:{1,2,5,6}:{(29,1),(35,1),(66,1),(72,1),(73,1),(135,1),(174,1),(182,1),(184,1),(188,1),(216,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(38,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(39,1),(70,1),(73,1),(74,1),(75,1),(87,1),(127,1),(128,1),(131,1),(143,1),(181,1),(182,1),(185,1),(189,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(36,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(32,1),(37,1),(177,1),(224,1)}
        53:{2,4,5,7}:{(31,1),(33,1),(76,1),(78,1),(79,1),(136,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(34,1),(77,1),(78,1),(79,1)}
        55:{3,6,7}:{(33,1),(78,1),(83,1)}
        56:{2,4,6,7}:{(34,1),(79,1),(80,1),(81,1),(84,1),(136,1),(138,1),(189,1)}
        57:{2,3,5,6}:{(35,1),(38,1),(72,1),(82,1),(83,1),(130,1),(139,1),(182,1),(216,1),(237,1),(238,1)}
        58:{2,4,6}:{(35,1),(36,1),(39,1),(83,1)}
        59:{1,3,4,6}:{(36,1),(37,1),(40,1),(77,1),(83,1),(84,1),(133,1),(141,1),(187,1),(224,1)}
        60:{2,4,7}:{(38,1),(74,1),(82,1),(85,1)}
        61:{3,5,7}:{(39,1),(83,1),(85,1),(139,1)}
        62:{2,4,5,7}:{(40,1),(79,1),(84,1),(86,1),(87,1),(131,1),(136,1),(143,1),(182,1),(186,1),(189,1),(223,1)}
        63:{2,4,5,6}:{(43,1),(88,1),(89,1),(90,1),(110,1),(147,1),(229,1)}
        64:{1,3,5,6,7}:{(41,1),(42,1),(91,1),(92,1),(145,1),(148,1),(195,1),(199,1)}
        65:{2,4,6,7}:{(41,1),(43,1),(88,1),(92,1),(93,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(90,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(165,1),(209,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(196,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(57,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(58,1),(95,1),(100,1),(101,1),(113,1),(153,1),(157,1),(168,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(60,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(61,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(209,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(53,1),(58,1),(104,1),(105,1),(110,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(59,1),(104,1),(105,1),(156,1)}
        78:{3,5,7}:{(53,1),(55,1),(104,1),(106,1)}
        79:{2,5,7}:{(54,1),(56,1),(105,1),(108,1)}
        80:{2,3,6,7}:{(55,1),(56,1),(107,1),(109,1),(112,1),(209,1)}
        81:{1,4,6,7}:{(56,1),(108,1),(109,1),(113,1),(164,1)}
        82:{2,4,6}:{(57,1),(60,1),(100,1),(110,1),(111,1),(243,1)}
        83:{3,6}:{(58,1),(61,1)}
        84:{2,4,6}:{(59,1),(62,1),(105,1),(112,1),(113,1),(168,1)}
        85:{3,4,7}:{(60,1),(61,1),(111,1),(241,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(112,1),(114,1),(115,1),(166,1),(209,1),(233,1)}
        87:{1,4,5,7}:{(62,1),(108,1),(113,1),(115,1),(159,1),(164,1),(204,1),(207,1)}
        88:{2,4,5,7}:{(63,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{1,4,5,6}:{(63,1),(67,1),(116,1),(118,1),(119,1),(128,1),(174,1),(215,1)}
        90:{3,5,6}:{(63,1),(68,1),(117,1),(139,1),(237,1)}
        91:{2,5,6,7}:{(64,1),(66,1),(120,1),(171,1),(217,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(120,1)}
        93:{3,4,6,7}:{(65,1),(68,1),(117,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(119,1),(123,1),(124,1),(172,1),(179,1),(215,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(214,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(82,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(83,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(85,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(143,1),(181,1),(182,1),(192,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(78,1),(83,1),(133,1),(139,1)}
       105:{2,5,6}:{(77,1),(79,1),(84,1),(135,1),(182,1)}
       106:{3,4,7}:{(78,1),(133,1),(136,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(80,1),(134,1),(136,1),(137,1)}
       108:{1,5,7}:{(79,1),(81,1),(135,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(137,1),(138,1),(141,1)}
       110:{2,4,5}:{(82,1),(128,1),(139,1),(182,1)}
       111:{3,4,6}:{(82,1),(83,1),(85,1),(139,1),(237,1),(244,1)}
       112:{2,3,6}:{(83,1),(84,1),(86,1),(141,1),(224,1)}
       113:{1,4,6}:{(84,1),(87,1),(135,1),(141,1)}
       114:{2,3,4,7}:{(85,1),(86,1),(131,1),(136,1),(140,1),(142,1),(220,1),(240,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(141,1),(142,1),(143,1),(190,1)}
       116:{1,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(90,1),(93,1),(241,1)}
       118:{2,4,5,6}:{(89,1),(95,1),(144,1),(146,1),(147,1),(150,1),(197,1)}
       119:{1,3,5,6}:{(89,1),(90,1),(96,1),(145,1),(146,1),(147,1),(156,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(95,1),(144,1),(148,1)}
       121:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(193,1),(199,1),(226,1),(241,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(147,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(209,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(110,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(111,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(168,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(106,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(107,1),(112,1),(162,1),(163,1),(166,1)}
       135:{1,5,6}:{(105,1),(108,1),(113,1),(204,1)}
       136:{2,4,7}:{(106,1),(107,1),(162,1),(164,1)}
       137:{1,3,5,7}:{(107,1),(108,1),(109,1),(163,1),(164,1),(165,1),(209,1)}
       138:{2,6,7}:{(109,1),(165,1),(168,1)}
       139:{3,5}:{(110,1),(111,1)}
       140:{2,3,4,6}:{(111,1),(112,1),(114,1),(157,1),(162,1),(166,1),(167,1),(231,1),(243,1)}
       141:{1,3,6}:{(112,1),(113,1),(115,1),(168,1)}
       142:{1,3,4,7}:{(114,1),(115,1),(159,1),(164,1),(167,1),(169,1),(206,1),(209,1)}
       143:{2,5,7}:{(115,1),(168,1),(169,1),(210,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,5,6}:{(118,1),(123,1),(170,1),(172,1),(177,1)}
       147:{2,5,6}:{(119,1),(124,1),(171,1),(174,1),(182,1)}
       148:{3,6,7}:{(120,1),(123,1),(170,1)}
       149:{2,4,6,7}:{(121,1),(124,1),(171,1),(175,1),(176,1),(212,1),(217,1),(235,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(174,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(192,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(139,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(143,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(139,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(136,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(137,1),(141,1),(187,1),(188,1),(190,1),(224,1)}
       164:{1,4,7}:{(136,1),(137,1),(187,1),(189,1)}
       165:{2,5,7}:{(137,1),(138,1),(188,1),(189,1)}
       166:{2,3,5}:{(139,1),(140,1),(182,1),(186,1),(190,1)}
       167:{1,3,4,6}:{(140,1),(141,1),(142,1),(183,1),(187,1),(190,1),(191,1),(222,1),(224,1),(239,1),(240,1)}
       168:{2,6}:{(141,1),(143,1)}
       169:{2,4,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{3,4,6}:{(146,1),(193,1),(196,1),(197,1)}
       173:{2,3,5,6}:{(146,1),(147,1),(152,1),(194,1),(197,1),(198,1),(200,1)}
       174:{1,5,6}:{(147,1),(153,1),(195,1),(204,1)}
       175:{2,3,6,7}:{(148,1),(149,1),(152,1),(194,1),(199,1),(241,1)}
       176:{1,4,6,7}:{(149,1),(153,1),(195,1),(199,1),(226,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(197,1),(200,1),(201,1),(211,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(168,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(169,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(166,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(164,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(165,1),(168,1),(208,1),(210,1)}
       189:{2,4,7}:{(164,1),(165,1),(208,1),(209,1)}
       190:{1,3,5}:{(166,1),(167,1),(204,1),(207,1),(210,1),(233,1)}
       191:{2,4,6}:{(167,1),(168,1),(169,1),(210,1),(211,1),(234,1)}
       192:{2,3,7}:{(169,1),(206,1),(209,1),(211,1)}
       193:{3,4,7}:{(170,1),(172,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(173,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(174,1),(176,1)}
       196:{3,4,5}:{(172,1),(177,1),(214,1),(240,1)}
       197:{2,4,6}:{(172,1),(173,1),(212,1),(214,1),(215,1)}
       198:{1,3,5,6}:{(173,1),(174,1),(179,1),(213,1),(215,1),(216,1),(218,1),(237,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(179,1),(213,1),(217,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(214,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(215,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(191,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(192,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(189,1),(223,1),(224,1)}
       209:{3,7}:{(189,1),(224,1)}
       210:{2,5}:{(190,1),(191,1)}
       211:{2,3,6}:{(191,1),(192,1),(222,1),(224,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(197,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(198,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,4,5}:{(196,1),(197,1),(200,1),(228,1),(234,1)}
       215:{1,4,6}:{(197,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5,6}:{(198,1),(202,1),(227,1),(229,1),(230,1)}
       217:{2,6,7}:{(199,1),(202,1),(227,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(210,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(211,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(209,1),(233,1)}
       225:{2,3,5}:{(210,1),(211,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(215,1),(235,1)}
       227:{2,5,7}:{(213,1),(216,1),(217,1),(235,1)}
       228:{1,4,5}:{(214,1),(215,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(215,1),(216,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1933 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(87,1),(155,1),(160,1),(227,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(60,1),(123,1),(259,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(119,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(87,1),(88,1),(93,1),(155,1),(219,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(159,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(154,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(115,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(55,1),(69,1),(78,1),(113,1),(136,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(61,1),(67,1),(124,1),(125,1),(132,1),(137,1),(189,1),(192,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(183,1),(250,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(191,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(119,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(123,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(190,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(83,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(91,1),(102,1),(228,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(225,1),(227,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(155,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(60,1),(61,1),(124,1),(197,1),(256,1),(296,1)}
        37:{2,3,4,5}:{(59,1),(62,1),(143,1),(197,1),(208,1),(247,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(56,1),(63,1),(73,1),(115,1),(127,1),(138,1),(183,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(121,1),(132,1),(189,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(59,1),(65,1),(69,1),(78,1),(181,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(124,1),(193,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(60,1),(259,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(61,1),(72,1),(132,1),(191,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(190,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(39,1),(83,1),(84,1),(93,1),(144,1)}
        58:{2,3,4,5,7}:{(37,1),(85,1),(86,1),(87,1),(144,1),(176,1),(223,1),(238,1),(299,1),(303,1),(312,1)}
        59:{2,3,4,6}:{(37,1),(42,1),(87,1),(89,1),(109,1),(172,1),(216,1),(229,1)}
        60:{2,3,6}:{(36,1),(45,1),(91,1),(306,1)}
        61:{2,4,7}:{(36,1),(46,1),(91,1),(232,1)}
        62:{1,3,4,5}:{(37,1),(89,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(87,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(156,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(88,1),(98,1),(225,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(89,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(147,1),(157,1),(160,1),(172,1),(214,1),(228,1),(236,1),(240,1),(271,1),(282,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(90,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(91,1),(102,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(226,1),(234,1),(281,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(64,1),(115,1),(116,1),(127,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(62,1),(117,1),(118,1),(119,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(119,1),(140,1),(204,1),(244,1),(256,1)}
        88:{2,3,6,7}:{(60,1),(68,1),(120,1),(121,1),(256,1),(259,1)}
        89:{1,3,4,6}:{(59,1),(62,1),(69,1),(119,1),(122,1),(194,1),(207,1)}
        90:{2,3,5,6}:{(60,1),(71,1),(120,1),(123,1),(124,1),(193,1),(196,1),(259,1)}
        91:{2,4,6}:{(60,1),(61,1),(72,1),(124,1)}
        92:{2,4,5}:{(62,1),(122,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(183,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(116,1),(128,1),(129,1),(193,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(119,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(189,1),(192,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(296,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(120,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(121,1),(132,1),(133,1),(191,1),(206,1),(257,1),(259,1),(262,1),(297,1)}
       100:{2,5,6}:{(69,1),(122,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(181,1),(194,1),(196,1),(259,1),(261,1),(297,1),(310,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(123,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(124,1),(137,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(241,1),(284,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(148,1),(174,1),(234,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(163,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(92,1),(151,1),(153,1),(154,1),(212,1),(268,1),(272,1)}
       119:{1,3,4,7}:{(87,1),(89,1),(96,1),(154,1),(225,1),(237,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(98,1),(155,1),(156,1),(227,1)}
       121:{2,4,6,7}:{(88,1),(91,1),(99,1),(155,1),(156,1),(228,1),(279,1),(306,1)}
       122:{2,4,6}:{(89,1),(92,1),(100,1),(154,1),(158,1)}
       123:{2,4,6}:{(90,1),(102,1),(155,1),(159,1),(160,1)}
       124:{2,5}:{(91,1),(103,1)}
       125:{1,2,4,5}:{(92,1),(157,1),(161,1),(232,1),(240,1),(282,1)}
       126:{2,3,5}:{(92,1),(158,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(149,1),(163,1),(164,1),(165,1),(228,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(150,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(305,1)}
       130:{2,5,7}:{(96,1),(100,1),(154,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(225,1),(227,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(155,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(156,1),(169,1),(170,1),(227,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(157,1),(166,1),(171,1),(282,1),(306,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(158,1),(167,1),(171,1),(172,1),(229,1),(231,1),(281,1),(282,1),(284,1),(306,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(159,1),(168,1),(172,1),(173,1),(216,1),(271,1),(302,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(160,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(281,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(298,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(127,1),(178,1),(182,1),(183,1),(244,1),(248,1),(262,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(120,1),(129,1),(183,1),(184,1),(193,1),(200,1),(243,1),(250,1),(259,1),(263,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(125,1),(185,1),(187,1),(189,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(296,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(126,1),(186,1),(187,1),(188,1),(190,1),(254,1)}
       154:{2,4,7}:{(119,1),(122,1),(130,1),(190,1)}
       155:{2,4,7}:{(120,1),(123,1),(132,1),(191,1)}
       156:{2,5,7}:{(121,1),(124,1),(133,1),(193,1)}
       157:{1,2,4,6}:{(122,1),(125,1),(134,1),(189,1),(194,1),(207,1),(260,1)}
       158:{2,3,6}:{(122,1),(126,1),(190,1),(194,1)}
       159:{3,4,6}:{(123,1),(191,1),(196,1),(259,1)}
       160:{2,4,5}:{(123,1),(124,1),(137,1),(196,1)}
       161:{1,3,5}:{(125,1),(126,1),(194,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(183,1),(200,1),(259,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(184,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(189,1),(199,1),(203,1),(296,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(190,1),(200,1),(203,1),(204,1),(256,1),(263,1),(296,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(191,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(192,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(193,1),(206,1),(259,1),(297,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(194,1),(203,1),(207,1),(261,1),(297,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(196,1),(208,1),(247,1),(261,1),(291,1),(310,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(163,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(155,1),(165,1),(219,1),(220,1),(228,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(161,1),(221,1),(223,1),(224,1),(225,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(162,1),(222,1),(224,1),(268,1)}
       189:{1,2,4,7}:{(154,1),(157,1),(166,1),(225,1),(237,1),(279,1)}
       190:{2,3,7}:{(154,1),(158,1),(225,1)}
       191:{3,4,7}:{(155,1),(159,1),(227,1)}
       192:{2,4,5,7}:{(155,1),(156,1),(160,1),(169,1),(227,1),(228,1)}
       193:{2,5,6}:{(156,1),(170,1),(228,1),(306,1)}
       194:{1,3,6}:{(157,1),(158,1),(161,1),(225,1),(229,1)}
       195:{2,3,4,6}:{(158,1),(159,1),(162,1),(172,1),(226,1),(230,1),(231,1),(281,1),(302,1)}
       196:{3,5}:{(159,1),(160,1)}
       197:{2,3,5}:{(161,1),(229,1),(232,1),(282,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(281,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(219,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(220,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(225,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(227,1),(235,1),(238,1),(239,1),(269,1),(280,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(228,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(231,1),(240,1),(282,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(298,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(199,1),(242,1),(248,1),(262,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(190,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(191,1),(244,1),(250,1),(259,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(202,1),(250,1),(251,1),(263,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(197,1),(252,1),(255,1),(256,1),(295,1),(296,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(198,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,7}:{(189,1),(190,1),(194,1),(256,1)}
       226:{2,3,4,7}:{(190,1),(191,1),(195,1),(204,1),(257,1),(258,1),(307,1)}
       227:{3,5,7}:{(191,1),(192,1),(196,1),(259,1)}
       228:{2,4,6}:{(192,1),(193,1),(206,1),(259,1)}
       229:{2,3,6}:{(194,1),(197,1),(256,1),(260,1)}
       230:{1,3,4,6}:{(194,1),(195,1),(198,1),(207,1),(257,1),(260,1),(261,1),(297,1)}
       231:{2,3,5}:{(195,1),(196,1),(208,1),(261,1),(310,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(250,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(251,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(258,1),(263,1),(265,1),(266,1),(296,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(259,1),(264,1),(266,1),(289,1),(297,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(261,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(283,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(225,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(234,1),(268,1),(274,1),(275,1),(281,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(236,1),(276,1),(284,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(232,1),(277,1)}
       256:{2,3,7}:{(225,1),(229,1),(279,1)}
       257:{1,3,4,7}:{(225,1),(226,1),(230,1),(237,1),(279,1),(280,1)}
       258:{2,3,5,7}:{(226,1),(227,1),(231,1),(238,1),(280,1),(281,1),(312,1)}
       259:{3,6}:{(227,1),(228,1)}
       260:{2,4,6}:{(229,1),(230,1),(232,1),(279,1),(282,1),(306,1)}
       261:{1,3,5}:{(230,1),(231,1),(240,1),(282,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(276,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(280,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(281,1),(284,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(256,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(257,1),(262,1),(287,1),(292,1),(293,1),(297,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(263,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(259,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{2,4,7}:{(256,1),(257,1),(260,1),(296,1)}
       280:{1,3,5,7}:{(257,1),(258,1),(261,1),(265,1),(296,1),(297,1)}
       281:{2,3,6}:{(258,1),(259,1),(266,1),(297,1),(314,1)}
       282:{2,5}:{(260,1),(261,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(279,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(283,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(281,1),(284,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{2,5,7}:{(279,1),(280,1),(282,1),(306,1)}
       297:{1,3,6}:{(280,1),(281,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(297,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

1934 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(128,1),(175,1),(178,1),(184,1),(210,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(26,1),(29,1),(232,1),(233,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(38,1),(77,1),(92,1),(149,1),(167,1),(169,1),(229,1),(255,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(217,1),(228,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(48,1),(277,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(126,1),(300,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(60,1),(61,1),(126,1),(212,1),(298,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(48,1),(111,1),(127,1),(274,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(56,1),(99,1),(178,1),(206,1),(210,1),(261,1),(273,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(260,1),(272,1)}
        11:{1,2,3,6,7}:{(5,1),(24,1),(25,1),(75,1),(144,1),(230,1),(233,1),(320,1),(321,1),(383,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(149,1),(327,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(26,1),(28,1),(29,1),(67,1),(77,1),(78,1),(149,1),(229,1),(232,1),(239,1),(325,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(27,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(25,1),(29,1),(30,1),(71,1),(76,1),(80,1),(144,1),(153,1),(241,1),(242,1),(321,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(26,1),(34,1),(35,1),(257,1),(337,1)}
        17:{2,3,4,6}:{(6,1),(27,1),(34,1),(35,1),(91,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(37,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(75,1),(86,1),(149,1),(162,1),(167,1),(253,1),(255,1),(317,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(37,1),(38,1),(39,1),(94,1),(316,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(38,1),(40,1),(303,1),(315,1)}
        22:{2,4,5,6}:{(10,1),(39,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(105,1),(188,1),(273,1),(277,1),(358,1)}
        25:{1,2,3,5,7}:{(11,1),(15,1),(45,1),(46,1),(106,1),(110,1),(195,1),(285,1),(360,1),(401,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(16,1),(42,1),(48,1),(49,1),(284,1),(360,1)}
        27:{1,3,4,6}:{(12,1),(14,1),(17,1),(43,1),(48,1),(49,1),(111,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(48,1),(51,1),(98,1),(111,1),(274,1),(277,1)}
        29:{1,2,5}:{(14,1),(49,1)}
        30:{1,2,4,6}:{(15,1),(46,1),(52,1),(53,1),(111,1),(193,1),(286,1),(402,1)}
        31:{2,3,4,6,7}:{(17,1),(44,1),(54,1),(58,1),(107,1),(120,1),(126,1),(186,1),(203,1),(273,1),(398,1),(399,1),(422,1)}
        32:{2,3,5,6,7}:{(21,1),(55,1),(56,1),(118,1),(200,1),(206,1)}
        33:{2,3,4,5,7}:{(16,1),(47,1),(57,1),(60,1),(121,1),(124,1),(126,1),(180,1),(184,1),(267,1)}
        34:{2,3,6}:{(16,1),(18,1),(48,1)}
        35:{2,3,5}:{(17,1),(49,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(58,1),(61,1),(126,1),(297,1),(298,1)}
        37:{2,5,6}:{(18,1),(20,1),(61,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(61,1),(63,1),(129,1),(353,1)}
        39:{1,4,5,6}:{(20,1),(22,1),(62,1),(63,1),(111,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(56,1),(63,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(260,1)}
        42:{2,3,5,7}:{(23,1),(26,1),(67,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(27,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,6,7}:{(24,1),(27,1),(31,1),(66,1),(70,1),(73,1),(75,1),(141,1),(144,1),(146,1),(149,1),(231,1),(317,1),(383,1),(384,1),(415,1)}
        45:{1,2,5,7}:{(24,1),(29,1),(70,1),(71,1),(315,1),(385,1)}
        46:{1,2,4,7}:{(25,1),(30,1),(73,1),(149,1),(237,1),(415,1)}
        47:{1,3,4,5,7}:{(26,1),(33,1),(67,1),(74,1),(77,1),(139,1),(147,1),(149,1),(222,1),(224,1),(229,1),(311,1)}
        48:{1,3,6}:{(26,1),(28,1),(34,1),(68,1)}
        49:{1,3,5}:{(27,1),(29,1),(35,1),(69,1),(77,1)}
        50:{1,2,4,6,7}:{(28,1),(36,1),(75,1),(78,1),(135,1),(149,1),(317,1),(320,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(37,1),(76,1),(78,1),(136,1),(316,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(77,1),(80,1),(151,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(73,1),(80,1),(81,1),(144,1),(326,1),(327,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(70,1),(83,1),(84,1),(248,1),(315,1),(414,1)}
        55:{1,3,5,6,7}:{(32,1),(38,1),(85,1),(86,1),(162,1),(246,1),(253,1)}
        56:{2,4,6,7}:{(32,1),(40,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(34,1),(74,1),(89,1),(91,1),(160,1),(228,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(75,1),(90,1),(162,1),(337,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(37,1),(76,1),(90,1),(91,1),(94,1)}
        60:{2,4,5}:{(35,1),(77,1),(91,1),(92,1)}
        61:{2,5,7}:{(36,1),(37,1),(38,1)}
        62:{2,4,5,6}:{(37,1),(39,1),(91,1),(93,1),(94,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(40,1),(86,1),(93,1),(149,1)}
        64:{1,3,4,5,6}:{(39,1),(41,1),(94,1),(95,1),(96,1),(150,1),(171,1),(226,1),(243,1),(329,1),(387,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(222,1),(303,1)}
        66:{2,3,4,6,7}:{(43,1),(44,1),(97,1),(99,1),(107,1),(174,1),(178,1),(186,1),(261,1),(273,1),(366,1),(367,1),(406,1)}
        67:{2,4,5,7}:{(42,1),(47,1),(98,1),(101,1),(176,1),(178,1),(269,1),(349,1)}
        68:{2,3,6}:{(42,1),(48,1),(98,1)}
        69:{2,3,5}:{(43,1),(49,1),(101,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(49,1),(54,1),(97,1),(102,1),(103,1),(353,1),(403,1)}
        71:{1,2,5,6}:{(45,1),(102,1),(105,1),(272,1),(277,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(103,1),(105,1),(106,1),(184,1)}
        73:{1,3,4,7}:{(46,1),(53,1),(106,1),(107,1),(360,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(57,1),(98,1),(109,1),(111,1),(179,1),(274,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(58,1),(99,1),(110,1),(360,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(51,1),(59,1),(100,1),(110,1),(111,1)}
        77:{1,4,5}:{(49,1),(60,1),(101,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(61,1),(110,1),(176,1),(353,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(62,1),(105,1),(111,1),(113,1),(114,1),(132,1),(177,1),(181,1),(193,1),(214,1),(272,1),(281,1),(283,1),(348,1),(354,1),(362,1),(394,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(107,1),(115,1),(116,1),(186,1),(193,1),(299,1),(300,1),(350,1),(351,1)}
        82:{2,4,5,6,7}:{(56,1),(117,1),(118,1),(200,1),(259,1),(363,1)}
        83:{2,3,5,6}:{(54,1),(102,1),(120,1),(186,1),(202,1),(272,1)}
        84:{2,4,5,7}:{(54,1),(60,1),(103,1),(120,1),(121,1),(126,1),(422,1),(423,1)}
        85:{2,5,6,7}:{(55,1),(61,1),(122,1),(297,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(63,1),(122,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(118,1)}
        88:{2,3,4,6,7}:{(57,1),(58,1),(108,1),(124,1),(126,1),(203,1),(208,1),(267,1),(273,1),(346,1)}
        89:{2,3,5,6}:{(57,1),(109,1),(124,1),(125,1),(202,1),(272,1)}
        90:{2,3,5,7}:{(58,1),(59,1),(61,1),(110,1),(126,1),(129,1)}
        91:{2,4,6}:{(59,1),(60,1),(111,1),(126,1),(127,1)}
        92:{3,4,5}:{(60,1),(127,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(63,1),(122,1),(126,1),(129,1)}
        94:{3,5,6}:{(62,1),(127,1),(129,1)}
        95:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(123,1),(129,1),(131,1),(192,1),(213,1),(271,1),(287,1),(361,1),(404,1)}
        96:{2,4,5,6}:{(64,1),(130,1),(131,1),(132,1),(193,1),(214,1),(272,1)}
        97:{2,3,5,7}:{(66,1),(69,1),(70,1),(133,1),(134,1),(303,1),(315,1),(391,1)}
        98:{2,4,6}:{(67,1),(68,1),(74,1),(136,1)}
        99:{2,3,6,7}:{(68,1),(75,1),(135,1),(137,1),(308,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(137,1),(138,1),(221,1)}
       101:{2,4,5}:{(69,1),(77,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(83,1),(133,1),(141,1),(144,1),(231,1),(316,1)}
       103:{1,4,5,7}:{(70,1),(77,1),(84,1),(134,1),(141,1),(149,1),(415,1),(416,1)}
       104:{1,2,5,6,7}:{(71,1),(78,1),(85,1),(140,1),(143,1),(219,1),(246,1),(315,1),(320,1),(331,1),(380,1),(381,1),(411,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(141,1),(144,1),(228,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(80,1),(144,1),(145,1)}
       107:{2,3,4,7}:{(73,1),(81,1),(145,1),(146,1),(237,1),(337,1),(379,1)}
       108:{1,3,4,6,7}:{(74,1),(75,1),(88,1),(135,1),(147,1),(149,1),(222,1),(234,1),(308,1),(311,1),(317,1),(377,1)}
       109:{1,3,5,6}:{(74,1),(89,1),(136,1),(147,1),(148,1),(221,1),(316,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(90,1),(137,1),(149,1)}
       111:{1,4,6}:{(76,1),(77,1),(91,1),(138,1),(149,1)}
       112:{1,3,4,5}:{(77,1),(80,1),(92,1),(139,1),(150,1),(151,1),(416,1),(418,1),(426,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(149,1),(152,1),(172,1),(220,1),(225,1),(237,1),(258,1),(315,1),(324,1),(325,1),(378,1),(381,1),(386,1),(409,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(94,1),(144,1),(150,1),(152,1),(153,1),(221,1),(326,1),(387,1),(410,1)}
       115:{2,3,5}:{(80,1),(81,1),(151,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(146,1),(154,1),(155,1),(231,1),(238,1),(326,1),(327,1)}
       117:{1,4,5,6,7}:{(82,1),(86,1),(156,1),(157,1),(225,1),(246,1),(330,1)}
       118:{3,5,6,7}:{(82,1),(87,1),(303,1),(388,1)}
       119:{2,3,5,6,7}:{(83,1),(85,1),(90,1),(140,1),(159,1),(162,1),(230,1),(248,1),(315,1),(411,1),(412,1),(424,1)}
       120:{2,4,6}:{(83,1),(84,1),(141,1),(160,1)}
       121:{3,4,5,7}:{(84,1),(92,1),(160,1),(167,1),(248,1),(425,1),(426,1)}
       122:{2,4,6,7}:{(85,1),(86,1),(93,1),(162,1)}
       123:{1,3,4,6,7}:{(86,1),(87,1),(95,1),(157,1),(162,1),(163,1),(244,1),(253,1),(330,1),(388,1)}
       124:{2,3,5,7}:{(88,1),(89,1),(147,1),(165,1),(248,1),(315,1)}
       125:{2,4,5,6}:{(89,1),(91,1),(148,1),(165,1),(166,1)}
       126:{2,4,7}:{(90,1),(91,1),(149,1),(167,1)}
       127:{3,4,6}:{(91,1),(92,1),(94,1),(167,1)}
       128:{2,3,4,5}:{(92,1),(151,1),(168,1),(169,1),(313,1),(418,1)}
       129:{3,5,7}:{(93,1),(94,1),(162,1),(167,1)}
       130:{2,3,5,6}:{(94,1),(96,1),(168,1),(170,1),(171,1),(387,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(163,1),(170,1),(172,1),(237,1),(258,1),(315,1)}
       132:{1,4,5,6}:{(96,1),(171,1),(172,1),(238,1),(316,1)}
       133:{2,3,5,6}:{(97,1),(102,1),(174,1),(186,1),(260,1),(272,1)}
       134:{2,4,5,7}:{(97,1),(101,1),(103,1),(174,1),(175,1),(178,1),(406,1),(407,1)}
       135:{2,4,6,7}:{(98,1),(99,1),(108,1),(176,1),(178,1),(349,1),(400,1)}
       136:{2,5,6}:{(98,1),(109,1),(176,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(110,1),(176,1),(178,1),(265,1)}
       138:{2,4,6}:{(100,1),(101,1),(111,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,6,7}:{(102,1),(104,1),(110,1),(119,1),(173,1),(182,1),(185,1),(271,1),(276,1),(353,1),(401,1)}
       141:{1,4,6}:{(102,1),(103,1),(120,1),(174,1)}
       142:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(121,1),(175,1),(183,1),(184,1),(192,1),(271,1)}
       143:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(122,1),(182,1),(185,1),(207,1),(264,1),(273,1),(297,1),(359,1),(363,1),(400,1),(419,1)}
       144:{1,3,6}:{(105,1),(106,1),(186,1)}
       145:{2,3,5,7}:{(106,1),(107,1),(115,1),(184,1),(186,1),(187,1)}
       146:{1,3,4,7}:{(107,1),(116,1),(187,1),(188,1),(282,1),(360,1)}
       147:{1,3,5,7}:{(108,1),(109,1),(124,1),(176,1),(190,1),(265,1),(353,1)}
       148:{1,4,5,6}:{(109,1),(111,1),(125,1),(177,1),(190,1)}
       149:{1,4,7}:{(110,1),(111,1),(126,1),(178,1)}
       150:{1,3,4,6}:{(111,1),(112,1),(114,1),(127,1),(179,1),(192,1),(193,1),(402,1),(405,1),(421,1)}
       151:{2,4,5}:{(112,1),(115,1),(193,1),(194,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(129,1),(185,1),(192,1),(195,1),(265,1),(360,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(186,1),(193,1),(195,1),(196,1),(214,1),(272,1),(299,1),(348,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(194,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(188,1),(197,1),(198,1),(277,1),(286,1)}
       156:{2,4,5,6,7}:{(117,1),(122,1),(199,1),(200,1),(201,1),(289,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(123,1),(199,1),(200,1),(271,1)}
       158:{2,4,5,6}:{(120,1),(181,1),(201,1),(202,1),(272,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(126,1),(182,1),(201,1),(203,1),(422,1)}
       160:{3,4,6}:{(120,1),(121,1),(202,1)}
       161:{2,3,4,5,7}:{(121,1),(128,1),(184,1),(204,1),(205,1),(210,1),(292,1),(345,1),(422,1),(423,1)}
       162:{3,6,7}:{(122,1),(129,1)}
       163:{2,4,6,7}:{(123,1),(131,1),(200,1),(206,1),(207,1),(297,1)}
       164:{2,3,5,6,7}:{(124,1),(189,1),(208,1),(291,1),(346,1),(352,1)}
       165:{2,4,5,7}:{(124,1),(125,1),(126,1),(190,1),(208,1),(209,1)}
       166:{3,4,5,6}:{(125,1),(127,1),(202,1),(209,1)}
       167:{3,4,7}:{(126,1),(127,1),(129,1)}
       168:{2,3,4,6}:{(127,1),(128,1),(130,1),(193,1),(210,1),(211,1),(350,1),(405,1)}
       169:{1,3,4,5}:{(128,1),(194,1),(211,1),(212,1),(284,1)}
       170:{2,3,5,7}:{(129,1),(130,1),(131,1),(206,1),(210,1),(213,1),(404,1)}
       171:{1,3,5,6}:{(130,1),(132,1),(211,1),(213,1),(214,1)}
       172:{1,4,5,7}:{(131,1),(132,1),(207,1),(213,1),(282,1),(353,1)}
       173:{2,3,5,6,7}:{(133,1),(137,1),(140,1),(216,1),(219,1),(230,1),(303,1),(308,1),(315,1),(331,1),(388,1),(389,1)}
       174:{2,4,6}:{(133,1),(134,1),(141,1),(217,1)}
       175:{3,4,5,7}:{(134,1),(139,1),(217,1),(222,1),(303,1),(417,1),(418,1)}
       176:{2,5,7}:{(135,1),(136,1),(147,1)}
       177:{2,4,5,6}:{(136,1),(138,1),(148,1),(220,1),(221,1)}
       178:{2,4,7}:{(137,1),(138,1),(149,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(221,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(151,1),(223,1),(224,1),(257,1),(426,1)}
       181:{1,4,5,6}:{(141,1),(158,1),(215,1),(225,1),(226,1),(316,1)}
       182:{1,4,6,7}:{(140,1),(141,1),(149,1),(159,1),(216,1),(225,1),(415,1)}
       183:{1,3,4,6}:{(141,1),(142,1),(144,1),(160,1),(217,1),(226,1),(228,1)}
       184:{2,4,5,7}:{(142,1),(145,1),(151,1),(228,1),(229,1),(237,1),(315,1)}
       185:{1,3,6,7}:{(143,1),(144,1),(152,1),(162,1),(230,1),(308,1),(388,1),(424,1)}
       186:{2,3,6}:{(144,1),(145,1),(228,1),(231,1)}
       187:{1,3,5,7}:{(145,1),(146,1),(154,1),(229,1),(231,1),(232,1)}
       188:{1,2,4,7}:{(146,1),(155,1),(232,1),(233,1)}
       189:{1,3,5,6,7}:{(147,1),(164,1),(219,1),(234,1),(308,1),(377,1),(380,1)}
       190:{1,4,5,7}:{(147,1),(148,1),(149,1),(165,1),(220,1),(234,1)}
       191:{1,3,4,5,6}:{(148,1),(150,1),(166,1),(221,1),(226,1),(235,1),(236,1),(301,1),(310,1),(370,1),(410,1)}
       192:{1,3,4,7}:{(149,1),(150,1),(152,1),(167,1),(222,1),(237,1),(415,1),(417,1),(425,1)}
       193:{2,4,6}:{(150,1),(151,1),(153,1),(237,1),(238,1)}
       194:{1,4,5}:{(151,1),(154,1),(238,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(230,1),(237,1),(240,1),(258,1),(315,1),(337,1),(378,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(231,1),(238,1),(240,1),(241,1),(316,1),(326,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(233,1),(242,1),(326,1)}
       199:{3,5,6,7}:{(156,1),(162,1),(244,1),(248,1)}
       200:{2,5,6,7}:{(157,1),(163,1),(246,1),(315,1)}
       201:{2,4,5,7}:{(158,1),(159,1),(225,1),(248,1),(315,1)}
       202:{3,5,6}:{(158,1),(160,1),(248,1)}
       203:{3,4,6,7}:{(159,1),(160,1),(162,1),(167,1),(248,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(160,1),(161,1),(228,1),(249,1),(251,1),(375,1),(413,1)}
       205:{1,3,4,5,7}:{(161,1),(169,1),(229,1),(251,1),(252,1),(255,1),(319,1),(332,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,6,7}:{(162,1),(163,1),(170,1),(253,1),(388,1)}
       207:{1,4,6,7}:{(163,1),(172,1),(246,1),(253,1)}
       208:{2,4,6,7}:{(164,1),(165,1),(234,1),(254,1)}
       209:{3,4,5,7}:{(165,1),(166,1),(167,1),(248,1),(254,1)}
       210:{2,3,4,7}:{(167,1),(168,1),(170,1),(237,1),(255,1),(379,1),(417,1)}
       211:{1,3,4,6}:{(168,1),(169,1),(171,1),(238,1),(255,1),(256,1),(326,1)}
       212:{2,4,5}:{(169,1),(256,1),(257,1)}
       213:{1,3,5,7}:{(170,1),(171,1),(172,1),(253,1),(255,1),(258,1)}
       214:{2,5,6}:{(171,1),(256,1),(258,1)}
       215:{2,4,5,6}:{(174,1),(181,1),(259,1),(260,1),(272,1)}
       216:{2,4,6,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(261,1),(406,1)}
       217:{3,4,6}:{(174,1),(175,1),(260,1)}
       218:{2,3,4,5,7}:{(175,1),(180,1),(184,1),(262,1),(263,1),(267,1),(296,1),(341,1),(406,1),(407,1)}
       219:{2,5,6,7}:{(176,1),(189,1),(264,1),(400,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(178,1),(190,1),(264,1),(265,1)}
       221:{3,5,6}:{(177,1),(179,1),(265,1)}
       222:{3,4,7}:{(178,1),(179,1),(265,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(193,1),(266,1),(267,1),(268,1),(299,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(194,1),(268,1),(269,1),(284,1)}
       225:{1,4,5,7}:{(181,1),(182,1),(201,1),(259,1),(271,1),(353,1)}
       226:{1,3,5,6}:{(181,1),(183,1),(202,1),(260,1),(271,1),(272,1)}
       227:{1,3,4,6,7}:{(182,1),(183,1),(185,1),(192,1),(203,1),(261,1),(271,1),(273,1)}
       228:{2,4,6}:{(183,1),(184,1),(186,1),(272,1),(274,1)}
       229:{1,4,5,7}:{(184,1),(187,1),(194,1),(274,1),(282,1),(353,1)}
       230:{2,3,6,7}:{(185,1),(186,1),(195,1),(273,1),(276,1),(297,1),(400,1)}
       231:{1,3,6}:{(186,1),(187,1),(274,1),(277,1)}
       232:{1,2,5,7}:{(187,1),(188,1),(197,1),(277,1)}
       233:{1,2,3,7}:{(188,1),(198,1),(360,1)}
       234:{1,4,6,7}:{(189,1),(190,1),(208,1),(264,1)}
       235:{1,3,4,5,7}:{(190,1),(191,1),(192,1),(209,1),(265,1),(271,1),(279,1),(280,1),(338,1),(347,1),(393,1),(420,1)}
       236:{2,4,5,6}:{(191,1),(193,1),(266,1),(272,1),(280,1),(281,1),(348,1)}
       237:{2,4,7}:{(192,1),(193,1),(195,1),(282,1)}
       238:{1,4,6}:{(193,1),(194,1),(196,1),(282,1)}
       239:{1,2,4,5}:{(194,1),(197,1),(212,1),(269,1),(283,1),(284,1),(286,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(276,1),(282,1),(285,1),(353,1),(360,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(214,1),(277,1),(283,1),(285,1),(348,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(284,1),(286,1)}
       243:{3,4,5,6}:{(202,1),(287,1),(288,1),(421,1)}
       244:{3,4,6,7}:{(199,1),(287,1),(289,1)}
       245:{2,3,5,6,7}:{(199,1),(200,1),(206,1),(289,1),(290,1),(292,1)}
       246:{1,5,6,7}:{(200,1),(207,1),(353,1)}
       247:{2,4,5,6,7}:{(201,1),(208,1),(270,1),(291,1),(352,1),(419,1)}
       248:{3,5,7}:{(201,1),(202,1),(203,1)}
       249:{2,3,5,6}:{(202,1),(204,1),(272,1),(288,1),(292,1),(293,1)}
       250:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(273,1),(289,1),(292,1),(294,1),(398,1),(422,1)}
       251:{1,3,4,6}:{(204,1),(205,1),(274,1),(293,1),(295,1),(356,1),(402,1),(405,1)}
       252:{2,4,5,7}:{(205,1),(212,1),(295,1),(296,1),(298,1),(364,1),(406,1),(407,1)}
       253:{1,3,6,7}:{(206,1),(207,1),(213,1),(297,1)}
       254:{3,4,6,7}:{(208,1),(209,1),(291,1)}
       255:{1,3,4,7}:{(210,1),(211,1),(213,1),(282,1),(298,1),(360,1)}
       256:{2,4,6}:{(211,1),(212,1),(214,1),(298,1),(299,1)}
       257:{2,3,5}:{(212,1),(284,1),(299,1),(300,1)}
       258:{2,5,7}:{(213,1),(214,1),(297,1),(298,1)}
       259:{2,4,5,7}:{(215,1),(216,1),(225,1),(303,1),(315,1)}
       260:{3,5,6}:{(215,1),(217,1),(303,1)}
       261:{3,4,6,7}:{(216,1),(217,1),(222,1),(303,1),(308,1),(388,1),(417,1)}
       262:{2,3,4,6}:{(217,1),(218,1),(228,1),(304,1),(306,1),(335,1),(390,1)}
       263:{1,3,4,5,7}:{(218,1),(224,1),(229,1),(306,1),(307,1),(311,1),(319,1),(372,1),(415,1),(416,1),(425,1),(426,1)}
       264:{2,4,6,7}:{(219,1),(220,1),(234,1),(308,1)}
       265:{3,5,7}:{(220,1),(221,1),(222,1),(308,1)}
       266:{2,3,5,6}:{(221,1),(223,1),(236,1),(309,1),(310,1),(410,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(237,1),(309,1),(311,1),(337,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(238,1),(310,1),(311,1),(312,1),(326,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(234,1),(247,1),(302,1),(314,1),(380,1),(408,1)}
       271:{1,3,5,7}:{(225,1),(226,1),(227,1),(248,1),(303,1),(315,1)}
       272:{2,5,6}:{(226,1),(228,1),(315,1),(316,1)}
       273:{2,4,6,7}:{(227,1),(228,1),(230,1),(237,1),(315,1),(317,1)}
       274:{1,4,6}:{(228,1),(229,1),(231,1),(316,1)}
       275:{1,2,4,5,7}:{(229,1),(232,1),(239,1),(252,1),(307,1),(318,1),(319,1),(322,1),(325,1),(381,1),(385,1),(415,1),(416,1)}
       276:{1,3,6,7}:{(230,1),(231,1),(240,1),(317,1),(320,1)}
       277:{1,2,6}:{(231,1),(232,1)}
       278:{1,2,3,5,7}:{(232,1),(233,1),(242,1),(319,1),(321,1),(322,1),(385,1)}
       279:{1,3,4,6,7}:{(234,1),(235,1),(254,1),(308,1),(314,1),(323,1),(368,1),(377,1),(408,1),(424,1)}
       280:{2,4,5,7}:{(235,1),(236,1),(237,1),(309,1),(315,1),(323,1),(324,1),(378,1)}
       281:{1,4,5,6}:{(236,1),(238,1),(310,1),(316,1),(324,1)}
       282:{1,4,7}:{(237,1),(238,1),(240,1)}
       283:{1,2,4,6}:{(238,1),(239,1),(241,1),(256,1),(312,1),(325,1),(326,1)}
       284:{1,3,5}:{(239,1),(257,1),(313,1),(326,1),(327,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(258,1),(320,1),(325,1),(378,1)}
       286:{1,2,4}:{(242,1),(327,1)}
       287:{3,4,5,7}:{(243,1),(244,1),(248,1),(328,1),(425,1)}
       288:{2,4,5,6}:{(243,1),(249,1),(328,1),(329,1),(413,1)}
       289:{2,4,6,7}:{(244,1),(245,1),(328,1),(330,1)}
       290:{1,3,5,6,7}:{(245,1),(246,1),(253,1),(330,1),(331,1),(332,1),(388,1)}
       291:{3,5,6,7}:{(247,1),(248,1),(254,1),(424,1)}
       292:{2,3,5,7}:{(248,1),(249,1),(250,1),(315,1),(328,1),(332,1)}
       293:{1,3,5,6}:{(249,1),(251,1),(316,1),(329,1),(332,1),(333,1),(387,1)}
       294:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(317,1),(330,1),(332,1),(334,1),(383,1),(388,1),(415,1),(417,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(335,1)}
       296:{2,3,5,7}:{(252,1),(257,1),(319,1),(335,1),(336,1),(337,1),(391,1)}
       297:{2,6,7}:{(253,1),(258,1)}
       298:{2,4,7}:{(255,1),(256,1),(258,1),(337,1)}
       299:{2,3,6}:{(256,1),(257,1),(326,1),(337,1)}
       300:{2,3,4}:{(257,1),(327,1)}
       301:{3,4,5,6}:{(260,1),(338,1),(339,1),(405,1)}
       302:{2,4,5,6,7}:{(259,1),(264,1),(270,1),(340,1),(352,1),(392,1)}
       303:{3,5,7}:{(259,1),(260,1),(261,1)}
       304:{2,3,5,6}:{(260,1),(262,1),(272,1),(339,1),(341,1),(342,1)}
       305:{2,3,4,6,7}:{(261,1),(262,1),(267,1),(273,1),(341,1),(343,1),(346,1),(366,1),(392,1),(406,1)}
       306:{1,3,4,6}:{(262,1),(263,1),(274,1),(342,1),(344,1),(356,1),(402,1),(421,1)}
       307:{2,4,5,7}:{(263,1),(269,1),(344,1),(345,1),(349,1),(396,1),(422,1),(423,1)}
       308:{3,6,7}:{(264,1),(265,1)}
       309:{2,3,5,7}:{(265,1),(266,1),(267,1),(280,1),(346,1),(347,1),(420,1)}
       310:{1,3,5,6}:{(266,1),(268,1),(281,1),(347,1),(348,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(282,1),(347,1),(349,1),(360,1)}
       312:{2,4,6}:{(268,1),(269,1),(348,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(284,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(279,1),(291,1),(340,1),(352,1)}
       315:{2,5,7}:{(271,1),(272,1),(273,1),(353,1)}
       316:{1,5,6}:{(272,1),(274,1),(353,1)}
       317:{1,4,6,7}:{(273,1),(274,1),(276,1),(282,1),(353,1)}
       318:{1,2,4,6}:{(274,1),(275,1),(277,1),(295,1),(344,1),(354,1),(356,1),(402,1)}
       319:{1,3,5,7}:{(275,1),(284,1),(296,1),(345,1),(356,1),(357,1),(360,1),(403,1)}
       320:{1,2,6,7}:{(276,1),(277,1),(285,1),(297,1),(400,1)}
       321:{1,2,3,6}:{(277,1),(278,1),(356,1),(358,1)}
       322:{1,2,4,7}:{(278,1),(286,1),(357,1),(358,1)}
       323:{2,4,6,7}:{(279,1),(280,1),(346,1),(352,1),(359,1),(400,1)}
       324:{1,4,5,7}:{(280,1),(281,1),(282,1),(347,1),(353,1),(359,1)}
       325:{1,2,4,7}:{(282,1),(283,1),(285,1),(298,1),(349,1),(360,1)}
       326:{1,3,6}:{(283,1),(284,1),(299,1),(350,1),(360,1)}
       327:{1,3,4}:{(284,1),(286,1),(300,1),(351,1)}
       328:{2,4,5,7}:{(287,1),(288,1),(289,1),(292,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(288,1),(293,1),(361,1),(362,1),(402,1)}
       330:{1,4,6,7}:{(289,1),(290,1),(361,1),(363,1)}
       331:{2,5,6,7}:{(290,1),(297,1),(363,1),(364,1)}
       332:{1,3,5,7}:{(292,1),(293,1),(294,1),(353,1),(361,1),(364,1),(404,1)}
       333:{2,5,6}:{(293,1),(295,1),(364,1)}
       334:{2,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(364,1),(366,1),(406,1)}
       335:{2,3,6}:{(295,1),(296,1),(356,1)}
       336:{2,3,4,7}:{(296,1),(300,1),(357,1),(367,1),(406,1)}
       337:{2,3,7}:{(298,1),(299,1),(360,1)}
       338:{3,4,5,7}:{(301,1),(303,1),(368,1),(369,1),(417,1)}
       339:{2,4,5,6}:{(301,1),(304,1),(369,1),(370,1),(390,1)}
       340:{3,5,6,7}:{(302,1),(303,1),(308,1),(368,1)}
       341:{2,3,5,7}:{(303,1),(304,1),(305,1),(315,1),(369,1),(372,1)}
       342:{1,3,5,6}:{(304,1),(306,1),(316,1),(370,1),(372,1),(373,1),(410,1)}
       343:{1,3,4,6,7}:{(305,1),(306,1),(311,1),(317,1),(372,1),(374,1),(377,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       344:{2,4,6}:{(306,1),(307,1),(373,1),(375,1)}
       345:{2,3,5,7}:{(307,1),(313,1),(319,1),(375,1),(376,1),(379,1),(414,1)}
       346:{2,3,6,7}:{(308,1),(309,1),(323,1),(377,1),(424,1)}
       347:{1,3,5,7}:{(309,1),(310,1),(311,1),(324,1),(377,1),(378,1)}
       348:{2,5,6}:{(310,1),(312,1),(378,1)}
       349:{2,4,7}:{(311,1),(312,1),(378,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(326,1),(379,1)}
       351:{2,3,4}:{(313,1),(327,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(323,1),(380,1)}
       353:{1,5,7}:{(315,1),(316,1),(317,1)}
       354:{1,2,5,6}:{(316,1),(318,1),(333,1),(373,1),(381,1),(382,1),(385,1)}
       355:{1,2,4,6,7}:{(317,1),(318,1),(320,1),(325,1),(334,1),(374,1),(381,1),(383,1),(415,1)}
       356:{1,3,6}:{(318,1),(319,1),(335,1),(375,1)}
       357:{1,3,4,7}:{(319,1),(322,1),(327,1),(336,1),(376,1),(384,1),(415,1)}
       358:{1,2,4,6}:{(321,1),(322,1),(384,1),(385,1)}
       359:{1,4,6,7}:{(323,1),(324,1),(377,1),(380,1)}
       360:{1,3,7}:{(325,1),(326,1),(337,1),(379,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(332,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(333,1),(386,1),(387,1),(390,1)}
       363:{2,4,6,7}:{(330,1),(331,1),(386,1),(388,1)}
       364:{2,5,7}:{(332,1),(333,1),(334,1)}
       365:{2,3,5,6}:{(333,1),(335,1),(382,1),(387,1),(389,1),(390,1),(391,1)}
       366:{2,3,6,7}:{(334,1),(335,1),(337,1),(383,1),(388,1),(389,1)}
       367:{2,3,4,6}:{(335,1),(336,1),(384,1),(390,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(340,1),(392,1)}
       369:{2,4,5,7}:{(338,1),(339,1),(341,1),(392,1),(393,1),(406,1)}
       370:{1,4,5,6}:{(339,1),(342,1),(393,1),(394,1),(402,1)}
       371:{2,3,5,6,7}:{(340,1),(341,1),(346,1),(352,1),(392,1),(395,1)}
       372:{1,3,5,7}:{(341,1),(342,1),(343,1),(353,1),(393,1),(396,1),(420,1)}
       373:{2,5,6}:{(342,1),(344,1),(396,1)}
       374:{2,4,6,7}:{(343,1),(344,1),(349,1),(396,1),(398,1),(400,1),(422,1)}
       375:{2,3,6}:{(344,1),(345,1),(356,1)}
       376:{2,3,4,7}:{(345,1),(351,1),(357,1),(399,1),(422,1)}
       377:{1,3,6,7}:{(346,1),(347,1),(359,1),(400,1)}
       378:{2,5,7}:{(347,1),(348,1),(349,1),(400,1)}
       379:{2,3,7}:{(349,1),(350,1),(360,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(359,1)}
       381:{1,2,5,7}:{(353,1),(354,1),(355,1),(364,1),(396,1),(401,1)}
       382:{1,3,5,6}:{(354,1),(356,1),(365,1),(397,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(355,1),(356,1),(360,1),(366,1),(398,1),(401,1)}
       384:{1,3,4,6}:{(356,1),(357,1),(358,1),(367,1),(399,1),(402,1),(403,1)}
       385:{1,2,5}:{(358,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(364,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{3,6,7}:{(363,1),(404,1)}
       389:{2,3,5,7}:{(364,1),(365,1),(366,1),(401,1),(404,1),(406,1)}
       390:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       391:{2,3,5}:{(367,1),(403,1),(407,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(371,1),(408,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(408,1),(409,1),(415,1)}
       394:{2,4,5,6}:{(370,1),(373,1),(409,1),(410,1),(413,1)}
       395:{1,3,5,6,7}:{(371,1),(372,1),(377,1),(380,1),(408,1),(411,1),(424,1)}
       396:{2,5,7}:{(372,1),(373,1),(374,1)}
       397:{2,3,5,6}:{(373,1),(375,1),(382,1),(410,1),(412,1),(413,1),(414,1)}
       398:{2,3,6,7}:{(374,1),(375,1),(379,1),(383,1),(412,1),(424,1)}
       399:{2,3,4,6}:{(375,1),(376,1),(384,1),(413,1),(414,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(389,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(390,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(391,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(388,1),(417,1)}
       405:{3,4,6}:{(387,1),(390,1),(417,1),(418,1)}
       406:{2,4,7}:{(389,1),(390,1),(415,1),(417,1)}
       407:{2,4,5}:{(390,1),(391,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,4,5,7}:{(393,1),(394,1),(396,1),(419,1),(420,1),(422,1)}
       410:{3,5,6}:{(394,1),(420,1),(421,1)}
       411:{2,5,6,7}:{(395,1),(396,1),(400,1),(419,1)}
       412:{2,3,5,7}:{(396,1),(397,1),(398,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(397,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(399,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(411,1),(424,1)}
       420:{3,5,7}:{(409,1),(410,1),(424,1),(425,1)}
       421:{3,4,6}:{(410,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

1935 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(160,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(91,1),(98,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(132,1)}
        12:{1,2,3,7}:{(4,1),(26,1),(71,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(68,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(109,1),(149,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(147,1),(169,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(79,1),(80,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(116,1),(121,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(91,1),(92,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(45,1)}
        27:{1,2,5}:{(13,1),(44,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(46,1),(48,1),(49,1),(88,1),(91,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(91,1),(136,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(132,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,4,7}:{(18,1),(43,1),(55,1),(60,1),(104,1)}
        34:{2,3,5}:{(18,1),(44,1),(54,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(109,1),(110,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,4,7}:{(25,1),(26,1),(33,1),(61,1),(66,1),(71,1),(116,1)}
        44:{1,3,5}:{(25,1),(27,1),(34,1),(62,1),(65,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,5,6}:{(27,1),(29,1),(35,1),(67,1),(68,1),(69,1),(112,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(69,1),(71,1),(113,1),(116,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(79,1),(125,1),(155,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(169,1)}
        54:{2,4,5}:{(34,1),(65,1),(72,1),(79,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(66,1),(78,1),(80,1)}
        56:{2,3,5,6}:{(34,1),(35,1),(39,1),(67,1),(73,1),(79,1),(80,1),(81,1),(125,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(79,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(86,1),(89,1),(132,1)}
        62:{2,3,5}:{(41,1),(44,1),(85,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(44,1),(54,1),(85,1),(91,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(45,1),(55,1),(86,1),(90,1),(92,1)}
        67:{1,3,5,6}:{(44,1),(46,1),(48,1),(56,1),(87,1),(91,1),(92,1),(93,1),(136,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(49,1),(57,1),(93,1),(94,1),(134,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(91,1),(95,1),(96,1),(129,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(98,1)}
        73:{3,5,6}:{(50,1),(98,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(104,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,5,7}:{(54,1),(55,1),(90,1),(97,1),(103,1),(104,1),(144,1)}
        79:{2,4,6}:{(54,1),(56,1),(91,1),(98,1),(104,1)}
        80:{2,3,6}:{(55,1),(92,1),(103,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(60,1),(93,1),(99,1),(104,1),(105,1),(144,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(104,1),(106,1)}
        85:{2,4,5}:{(62,1),(65,1),(107,1),(109,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,6}:{(62,1),(64,1),(67,1),(109,1),(110,1),(111,1),(112,1),(145,1),(149,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,5,7}:{(65,1),(66,1),(78,1),(108,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(65,1),(67,1),(79,1),(109,1),(116,1)}
        92:{1,3,6}:{(66,1),(68,1),(80,1),(110,1),(115,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(81,1),(111,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(116,1),(118,1),(147,1)}
        97:{3,4,5,7}:{(72,1),(78,1),(120,1),(121,1),(156,1)}
        98:{3,4,6}:{(72,1),(73,1),(79,1),(121,1)}
        99:{3,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(79,1),(83,1),(114,1),(119,1),(124,1),(125,1)}
       103:{2,4,6}:{(78,1),(80,1),(115,1),(120,1),(125,1)}
       104:{2,4,7}:{(79,1),(81,1),(116,1),(121,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(126,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(131,1),(132,1),(163,1)}
       109:{2,4,6}:{(85,1),(87,1),(91,1),(129,1),(132,1)}
       110:{2,3,6}:{(86,1),(92,1),(131,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(93,1),(132,1),(133,1),(134,1),(159,1),(163,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(91,1),(95,1),(102,1),(130,1),(135,1),(136,1)}
       115:{1,4,6}:{(90,1),(92,1),(103,1),(131,1),(136,1)}
       116:{1,4,7}:{(91,1),(93,1),(104,1),(132,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(137,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(98,1),(102,1),(139,1),(140,1)}
       120:{3,4,6}:{(97,1),(103,1),(140,1)}
       121:{3,4,7}:{(98,1),(99,1),(104,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(104,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,5,6}:{(103,1),(136,1),(140,1),(144,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(105,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(146,1),(147,1),(169,1)}
       129:{3,4,6}:{(107,1),(109,1),(145,1),(147,1)}
       130:{2,4,5,6}:{(109,1),(112,1),(114,1),(145,1),(148,1),(149,1),(168,1)}
       131:{2,4,6}:{(108,1),(110,1),(115,1),(146,1),(149,1)}
       132:{2,4,7}:{(109,1),(111,1),(116,1),(147,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(150,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(116,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,5,6}:{(115,1),(125,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(121,1),(124,1),(154,1),(156,1)}
       140:{3,5,6}:{(120,1),(125,1),(155,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(122,1),(126,1),(156,1),(157,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(156,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(156,1)}
       145:{3,5,6}:{(129,1),(130,1),(159,1)}
       146:{3,4,6}:{(128,1),(131,1),(160,1)}
       147:{3,4,7}:{(129,1),(132,1),(159,1)}
       148:{2,4,5,7}:{(130,1),(132,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,5,6}:{(131,1),(136,1),(160,1),(163,1)}
       150:{2,4,6,7}:{(131,1),(132,1),(133,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{4,5,6}:{(140,1),(166,1)}
       156:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(147,1),(148,1),(167,1)}
       160:{3,5,6}:{(146,1),(149,1),(168,1),(169,1)}
       161:{3,4,6,7}:{(146,1),(147,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{4,5,6}:{(160,1),(173,1)}
       169:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(169,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1936 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1937 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1938 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

1939 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(93,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(45,1),(50,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(71,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(112,1),(139,1),(145,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(7,1),(12,1),(27,1),(36,1),(66,1),(76,1),(107,1),(110,1),(112,1),(116,1),(117,1),(139,1),(145,1),(149,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(93,1),(94,1),(132,1)}
         7:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(92,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(91,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(18,1),(19,1),(45,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(155,1)}
        12:{1,3,5,6}:{(5,1),(14,1),(21,1),(22,1),(95,1),(125,1),(132,1),(136,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(12,1),(25,1),(26,1),(113,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(10,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{2,4,5,6}:{(10,1),(27,1),(32,1),(66,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(32,1)}
        20:{2,3,4,6,7}:{(11,1),(29,1),(33,1),(34,1),(61,1),(69,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        21:{1,3,4,6}:{(12,1),(25,1),(35,1),(36,1),(149,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(26,1),(36,1),(37,1),(66,1),(74,1),(104,1),(117,1),(118,1),(145,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(133,1)}
        25:{1,3,4,7}:{(14,1),(21,1),(42,1),(131,1),(133,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(22,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(18,1),(38,1),(44,1),(88,1),(91,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(19,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{3,4,5,7}:{(19,1),(48,1),(49,1),(155,1),(171,1)}
        32:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(45,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(46,1),(51,1),(52,1),(84,1),(90,1),(91,1),(125,1),(131,1),(132,1),(133,1),(161,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(54,1),(95,1),(138,1),(162,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(42,1),(54,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(43,1),(55,1),(56,1),(88,1),(95,1),(98,1),(125,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(73,1),(99,1),(104,1),(115,1),(150,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(35,1),(57,1),(62,1),(63,1),(70,1),(100,1),(105,1),(113,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(36,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(37,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(32,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(69,1),(70,1),(142,1),(166,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(66,1),(69,1),(71,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(67,1),(70,1),(71,1),(72,1),(113,1),(170,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(106,1),(112,1),(115,1),(145,1),(169,1)}
        53:{2,3,4,6}:{(36,1),(61,1),(74,1),(75,1),(104,1),(118,1),(150,1),(153,1),(165,1),(169,1)}
        54:{2,4,5}:{(35,1),(36,1),(74,1),(76,1),(117,1),(153,1)}
        55:{1,4,6}:{(36,1),(37,1),(64,1),(76,1)}
        56:{1,2,5,6}:{(37,1),(65,1),(77,1),(117,1),(145,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(133,1),(163,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(53,1),(83,1),(84,1),(127,1),(133,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(48,1),(78,1),(85,1),(91,1),(120,1),(125,1),(132,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(54,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(55,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(56,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(52,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,4,5,7}:{(49,1),(51,1),(91,1),(92,1),(131,1),(162,1)}
        71:{1,3,5,6}:{(50,1),(51,1),(88,1),(91,1),(93,1),(125,1),(132,1)}
        72:{2,5,7}:{(51,1),(52,1),(93,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(94,1),(127,1),(132,1),(159,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,3,4,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(98,1),(125,1),(136,1),(138,1),(164,1),(172,1)}
        76:{1,4,5}:{(54,1),(55,1),(95,1),(164,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(87,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(115,1),(151,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(74,1),(104,1),(105,1),(113,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(75,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(76,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(77,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(72,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(73,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,4,5,7}:{(70,1),(72,1),(112,1),(113,1),(115,1),(151,1)}
        93:{2,5,6}:{(71,1),(72,1),(112,1),(145,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(111,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(117,1),(174,1)}
        96:{2,4,6}:{(75,1),(106,1),(117,1),(118,1),(145,1),(153,1)}
        97:{1,2,4,5}:{(76,1),(77,1),(117,1),(119,1),(153,1)}
        98:{1,3,6}:{(77,1),(109,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(132,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(95,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(96,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(92,1),(97,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(98,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(93,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(94,1),(123,1),(130,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{3,5,7}:{(92,1),(132,1),(133,1),(163,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(130,1),(132,1),(134,1),(159,1),(163,1),(173,1)}
       115:{2,4,7}:{(94,1),(131,1),(133,1),(134,1)}
       116:{1,2,4,6}:{(96,1),(124,1),(135,1),(136,1),(157,1),(164,1),(172,1)}
       117:{2,5}:{(95,1),(96,1)}
       118:{2,3,6}:{(96,1),(98,1),(127,1),(136,1),(137,1)}
       119:{1,3,5}:{(97,1),(98,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(116,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(117,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(118,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(112,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(113,1),(119,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(114,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(115,1),(142,1),(149,1)}
       132:{3,6}:{(112,1),(113,1)}
       133:{3,4,7}:{(113,1),(115,1),(150,1)}
       134:{2,4,6}:{(114,1),(115,1),(149,1),(150,1),(151,1)}
       135:{1,2,5}:{(116,1),(117,1),(152,1),(174,1)}
       136:{1,3,6}:{(116,1),(118,1),(144,1),(152,1)}
       137:{2,3,5}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       138:{1,3,4}:{(119,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(135,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(136,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(132,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(133,1),(138,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(134,1),(156,1),(162,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(134,1),(162,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(137,1),(164,1)}
       153:{2,4}:{(137,1),(138,1),(164,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(152,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(153,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(150,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(151,1),(166,1),(170,1),(174,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(164,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(163,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

1940 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1941 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(50,1),(51,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(24,1),(34,1),(56,1),(109,1),(118,1),(120,1),(160,1),(166,1),(176,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(23,1),(32,1),(33,1),(73,1),(74,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(42,1),(52,1),(86,1),(89,1),(91,1),(140,1),(146,1),(147,1),(190,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(184,1),(189,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(50,1),(152,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(41,1),(50,1),(99,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(42,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(43,1)}
        10:{2,3,4,6,7}:{(20,1),(21,1),(25,1),(55,1),(66,1),(105,1),(117,1),(158,1),(161,1),(163,1),(166,1),(241,1)}
        11:{2,3,5,6}:{(5,1),(23,1),(24,1),(30,1),(70,1),(118,1)}
        12:{2,4,6,7}:{(4,1),(25,1),(26,1),(64,1),(66,1),(166,1),(172,1),(173,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(67,1),(73,1),(165,1),(209,1)}
        14:{2,4,5,7}:{(5,1),(24,1),(27,1),(28,1),(109,1),(159,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(29,1),(30,1),(70,1),(159,1),(175,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(73,1),(125,1)}
        17:{3,5,7}:{(6,1),(9,1),(30,1),(176,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(31,1),(33,1),(64,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(65,1),(71,1),(74,1),(125,1),(176,1)}
        20:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(39,1),(79,1),(86,1),(134,1),(136,1),(140,1),(183,1),(186,1),(187,1),(190,1)}
        21:{2,3,5,7}:{(10,1),(35,1),(37,1),(38,1),(128,1),(144,1),(178,1),(189,1)}
        22:{1,2,4,6,7}:{(12,1),(36,1),(39,1),(40,1),(52,1),(85,1),(86,1),(99,1),(152,1),(183,1),(190,1),(191,1),(192,1),(220,1),(236,1)}
        23:{1,3,5,6}:{(11,1),(13,1),(41,1),(42,1),(89,1),(96,1),(146,1)}
        24:{2,4,6}:{(11,1),(14,1),(42,1),(43,1)}
        25:{2,3,6,7}:{(12,1),(39,1),(44,1),(89,1),(141,1),(195,1),(220,1)}
        26:{2,5,7}:{(12,1),(13,1),(41,1),(189,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(86,1),(139,1)}
        28:{3,4,5,7}:{(14,1),(17,1),(43,1),(136,1),(184,1)}
        29:{1,4,5,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(96,1),(139,1),(150,1)}
        30:{3,5,6}:{(15,1),(17,1),(43,1),(184,1),(197,1)}
        31:{2,4,5,7}:{(16,1),(18,1),(47,1),(49,1),(50,1),(97,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        33:{3,6,7}:{(18,1),(49,1),(89,1)}
        34:{2,4,6,7}:{(19,1),(50,1),(51,1),(52,1),(90,1),(97,1),(99,1),(152,1)}
        35:{2,3,5,6}:{(21,1),(54,1),(55,1),(102,1),(156,1),(161,1)}
        36:{2,4,6,7}:{(20,1),(56,1),(57,1),(107,1),(109,1),(166,1),(207,1),(208,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(54,1),(57,1),(58,1),(110,1),(165,1),(200,1),(209,1)}
        38:{2,4,5,7}:{(21,1),(55,1),(58,1),(59,1),(66,1),(116,1)}
        39:{1,3,6,7}:{(22,1),(25,1),(56,1),(61,1),(113,1),(167,1),(176,1),(211,1),(241,1)}
        40:{1,2,5,7}:{(22,1),(26,1),(57,1),(60,1),(61,1),(73,1),(126,1),(200,1),(209,1),(229,1)}
        41:{2,5,6}:{(23,1),(26,1),(64,1),(172,1)}
        42:{1,4,6}:{(23,1),(24,1),(27,1),(64,1)}
        43:{3,4,6}:{(24,1),(28,1),(30,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(63,1),(66,1),(67,1),(229,1),(241,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(64,1),(66,1),(67,1),(116,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(65,1),(67,1),(68,1),(71,1),(114,1),(121,1),(122,1),(125,1),(165,1),(174,1),(176,1),(214,1)}
        47:{2,4,5,6}:{(29,1),(31,1),(64,1),(69,1),(70,1),(116,1),(123,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(32,1),(65,1),(69,1),(70,1),(165,1)}
        49:{3,5,7}:{(31,1),(33,1),(69,1),(71,1)}
        50:{2,5,7}:{(32,1),(34,1),(70,1),(73,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(72,1),(74,1),(118,1),(176,1)}
        52:{1,4,6,7}:{(34,1),(73,1),(74,1),(119,1),(125,1)}
        53:{2,3,5,6,7}:{(35,1),(76,1),(77,1),(128,1),(178,1),(182,1)}
        54:{1,3,5,6}:{(35,1),(37,1),(78,1),(79,1),(134,1),(181,1),(186,1)}
        55:{2,4,6}:{(35,1),(38,1),(79,1),(80,1)}
        56:{2,3,6,7}:{(36,1),(39,1),(81,1),(99,1),(134,1),(141,1),(223,1)}
        57:{2,5,7}:{(36,1),(37,1),(78,1),(189,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(79,1),(82,1),(86,1),(139,1)}
        59:{3,4,5,7}:{(38,1),(80,1),(91,1),(128,1),(144,1)}
        60:{1,2,5,6}:{(40,1),(41,1),(78,1),(84,1),(85,1),(96,1),(151,1),(181,1),(189,1),(191,1),(219,1),(224,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(81,1),(84,1),(86,1)}
        62:{1,2,4,5,7}:{(40,1),(45,1),(82,1),(85,1),(86,1),(87,1),(93,1),(138,1),(139,1),(142,1),(148,1),(152,1),(188,1),(189,1),(192,1),(196,1),(224,1),(236,1),(237,1),(240,1)}
        63:{2,3,5,6}:{(41,1),(44,1),(84,1),(88,1),(89,1),(141,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(41,1),(42,1),(45,1),(89,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(46,1),(48,1),(89,1),(90,1),(94,1),(146,1),(150,1),(197,1)}
        66:{2,4,7}:{(44,1),(86,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(89,1),(91,1),(144,1)}
        68:{2,4,5,7}:{(46,1),(50,1),(90,1),(92,1),(93,1),(97,1),(142,1),(148,1),(149,1),(152,1),(189,1),(196,1)}
        69:{3,5,6}:{(47,1),(49,1),(89,1),(94,1),(144,1)}
        70:{2,5,6}:{(48,1),(50,1),(90,1),(96,1),(189,1)}
        71:{3,4,7}:{(49,1),(94,1),(97,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(51,1),(95,1),(97,1),(98,1)}
        73:{1,5,7}:{(50,1),(52,1),(96,1)}
        74:{1,3,6,7}:{(51,1),(52,1),(98,1),(99,1),(146,1)}
        75:{2,4,5,6}:{(55,1),(100,1),(101,1),(102,1),(116,1),(156,1),(231,1)}
        76:{1,3,5,6,7}:{(53,1),(54,1),(103,1),(104,1),(154,1),(157,1),(200,1),(204,1)}
        77:{2,4,6,7}:{(53,1),(55,1),(100,1),(104,1),(105,1)}
        78:{2,5,6}:{(54,1),(57,1),(107,1),(207,1)}
        79:{1,4,6}:{(54,1),(55,1),(58,1),(107,1)}
        80:{3,4,6}:{(55,1),(59,1),(102,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(109,1),(110,1),(126,1),(176,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(107,1),(109,1),(110,1),(159,1)}
        83:{1,3,4,5,7}:{(58,1),(59,1),(108,1),(110,1),(111,1),(114,1),(154,1),(164,1),(165,1),(198,1),(201,1),(228,1),(230,1),(241,1),(242,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(63,1),(106,1),(112,1),(113,1),(165,1),(167,1),(209,1),(234,1)}
        85:{1,2,4,6}:{(60,1),(62,1),(64,1),(107,1),(112,1),(113,1),(119,1),(162,1),(166,1),(172,1),(175,1),(207,1),(231,1)}
        86:{1,4,7}:{(61,1),(66,1),(109,1),(112,1)}
        87:{1,3,5,7}:{(62,1),(67,1),(110,1),(113,1),(114,1),(115,1),(165,1),(176,1),(211,1),(214,1),(234,1),(241,1),(242,1)}
        88:{2,4,6}:{(63,1),(66,1),(112,1),(116,1),(117,1),(243,1)}
        89:{3,6}:{(64,1),(67,1)}
        90:{2,4,6}:{(65,1),(68,1),(70,1),(118,1),(119,1),(172,1)}
        91:{3,4,7}:{(66,1),(67,1),(117,1),(241,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(118,1),(120,1),(121,1),(170,1),(176,1),(214,1)}
        93:{1,4,5,7}:{(68,1),(73,1),(119,1),(121,1),(125,1),(168,1),(174,1),(209,1)}
        94:{3,4,6}:{(69,1),(71,1),(122,1),(123,1)}
        95:{2,3,5,6}:{(69,1),(70,1),(72,1),(118,1),(123,1),(124,1),(170,1)}
        96:{1,5,6}:{(70,1),(73,1),(119,1),(209,1)}
        97:{2,4,7}:{(71,1),(72,1),(123,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(124,1),(125,1),(126,1),(176,1)}
        99:{2,6,7}:{(74,1),(126,1),(172,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(127,1),(128,1),(178,1),(236,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(127,1),(129,1),(130,1),(139,1),(181,1),(218,1)}
       102:{3,5,6}:{(75,1),(80,1),(128,1),(144,1),(238,1)}
       103:{2,5,6,7}:{(76,1),(78,1),(131,1),(178,1),(220,1)}
       104:{1,4,6,7}:{(76,1),(77,1),(79,1),(127,1),(131,1)}
       105:{3,4,6,7}:{(77,1),(80,1),(128,1)}
       106:{2,3,5,6}:{(78,1),(81,1),(84,1),(133,1),(134,1),(141,1),(151,1),(184,1),(189,1),(197,1),(226,1)}
       107:{2,4,6}:{(78,1),(79,1),(82,1),(134,1)}
       108:{1,3,4,6}:{(79,1),(80,1),(83,1),(130,1),(134,1),(135,1),(179,1),(186,1),(218,1),(238,1)}
       109:{2,4,7}:{(81,1),(86,1),(133,1),(136,1)}
       110:{3,5,7}:{(82,1),(134,1),(136,1),(184,1)}
       111:{2,4,5,7}:{(83,1),(135,1),(137,1),(138,1),(142,1),(178,1),(188,1),(189,1),(215,1),(217,1),(236,1),(237,1)}
       112:{1,4,6}:{(84,1),(86,1),(88,1),(133,1),(139,1),(240,1)}
       113:{1,3,6}:{(85,1),(87,1),(89,1),(134,1),(141,1),(197,1),(238,1)}
       114:{1,3,4,7}:{(86,1),(87,1),(91,1),(136,1),(140,1),(142,1),(227,1),(240,1),(244,1)}
       115:{2,3,5,7}:{(87,1),(141,1),(142,1),(143,1),(148,1),(188,1),(189,1),(195,1),(223,1),(226,1),(239,1)}
       116:{2,4,5}:{(88,1),(139,1),(144,1),(189,1)}
       117:{3,4,6}:{(88,1),(89,1),(91,1),(144,1),(238,1),(244,1)}
       118:{2,3,6}:{(89,1),(90,1),(92,1),(146,1),(197,1)}
       119:{1,4,6}:{(90,1),(93,1),(96,1),(146,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(97,1),(142,1),(145,1),(147,1),(223,1),(227,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(146,1),(147,1),(148,1),(193,1)}
       122:{3,4,5}:{(94,1),(144,1),(149,1),(244,1)}
       123:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(150,1)}
       124:{1,3,5,6}:{(95,1),(96,1),(98,1),(146,1),(150,1),(151,1),(193,1),(197,1)}
       125:{1,4,7}:{(97,1),(98,1),(150,1),(152,1)}
       126:{2,5,7}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,4,5,7}:{(100,1),(101,1),(104,1),(153,1),(154,1),(200,1),(228,1)}
       128:{3,5,7}:{(100,1),(102,1),(105,1),(241,1)}
       129:{2,4,5,6}:{(101,1),(107,1),(153,1),(155,1),(156,1),(159,1),(202,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(108,1),(154,1),(155,1),(156,1),(165,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(107,1),(153,1),(157,1)}
       132:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(154,1),(157,1),(158,1),(198,1),(204,1),(228,1),(241,1)}
       133:{2,4,6}:{(106,1),(109,1),(112,1),(159,1),(160,1),(235,1)}
       134:{3,6}:{(107,1),(110,1)}
       135:{2,4,6}:{(108,1),(111,1),(156,1),(161,1),(162,1),(207,1)}
       136:{3,4,7}:{(109,1),(110,1),(160,1),(176,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(161,1),(163,1),(164,1),(205,1),(241,1),(242,1)}
       138:{1,4,5,7}:{(111,1),(162,1),(164,1),(168,1),(200,1),(209,1),(228,1),(230,1)}
       139:{1,4,5}:{(112,1),(116,1),(159,1),(165,1),(209,1)}
       140:{1,3,4,6}:{(112,1),(113,1),(114,1),(117,1),(160,1),(165,1),(166,1)}
       141:{2,3,6}:{(113,1),(115,1),(166,1),(167,1),(172,1),(207,1)}
       142:{2,4,7}:{(114,1),(115,1),(166,1),(168,1),(235,1),(243,1)}
       143:{1,3,5,7}:{(115,1),(167,1),(168,1),(169,1),(209,1),(211,1),(234,1)}
       144:{3,5}:{(116,1),(117,1)}
       145:{2,3,4,6}:{(117,1),(118,1),(120,1),(123,1),(166,1),(170,1),(171,1),(233,1),(243,1)}
       146:{1,3,6}:{(118,1),(119,1),(121,1),(172,1)}
       147:{1,3,4,7}:{(120,1),(121,1),(125,1),(168,1),(171,1),(173,1),(176,1),(211,1)}
       148:{2,5,7}:{(121,1),(172,1),(173,1),(212,1)}
       149:{2,4,5}:{(122,1),(123,1),(170,1),(174,1),(243,1)}
       150:{1,4,6}:{(123,1),(124,1),(125,1),(174,1),(175,1)}
       151:{2,5,6}:{(124,1),(126,1),(172,1),(175,1),(212,1)}
       152:{2,4,7}:{(125,1),(126,1),(175,1),(176,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(131,1),(177,1),(178,1),(215,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(130,1),(132,1),(177,1),(178,1)}
       155:{3,5,6}:{(129,1),(134,1),(177,1),(179,1),(184,1)}
       156:{2,5,6}:{(130,1),(135,1),(178,1),(181,1),(189,1)}
       157:{3,6,7}:{(131,1),(134,1),(177,1)}
       158:{2,4,6,7}:{(132,1),(135,1),(178,1),(182,1),(183,1),(215,1),(220,1),(236,1)}
       159:{2,4,5}:{(133,1),(139,1),(184,1),(189,1)}
       160:{3,4,6}:{(133,1),(134,1),(136,1),(184,1),(197,1),(227,1)}
       161:{2,3,6}:{(134,1),(135,1),(137,1),(186,1),(238,1)}
       162:{1,4,6}:{(135,1),(138,1),(181,1),(186,1)}
       163:{2,3,4,7}:{(136,1),(137,1),(142,1),(185,1),(187,1),(195,1),(215,1),(244,1)}
       164:{1,3,5,7}:{(137,1),(138,1),(186,1),(187,1),(188,1),(221,1)}
       165:{1,3,5}:{(139,1),(140,1),(144,1),(184,1),(189,1)}
       166:{2,4,6}:{(140,1),(141,1),(142,1),(189,1),(190,1)}
       167:{1,3,6}:{(141,1),(143,1),(190,1),(191,1)}
       168:{1,4,7}:{(142,1),(143,1),(190,1),(240,1)}
       169:{1,2,5,7}:{(143,1),(148,1),(188,1),(191,1),(192,1),(224,1)}
       170:{2,3,5}:{(144,1),(145,1),(149,1),(189,1),(193,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(147,1),(150,1),(190,1),(193,1),(194,1),(197,1),(225,1),(227,1),(240,1)}
       172:{2,6}:{(146,1),(148,1)}
       173:{2,4,7}:{(147,1),(148,1),(194,1),(195,1)}
       174:{1,4,5}:{(149,1),(150,1),(193,1),(196,1),(240,1)}
       175:{2,4,6}:{(150,1),(151,1),(152,1),(196,1),(197,1)}
       176:{3,7}:{(152,1),(197,1)}
       177:{3,5,7}:{(153,1),(155,1),(157,1),(198,1)}
       178:{2,5,7}:{(154,1),(156,1),(158,1),(200,1)}
       179:{3,4,6}:{(155,1),(198,1),(201,1),(202,1)}
       180:{2,3,5,6}:{(155,1),(156,1),(161,1),(199,1),(202,1),(203,1),(205,1)}
       181:{1,5,6}:{(156,1),(162,1),(200,1),(209,1)}
       182:{2,3,6,7}:{(157,1),(158,1),(161,1),(199,1),(204,1),(241,1)}
       183:{1,4,6,7}:{(158,1),(162,1),(200,1),(204,1),(228,1)}
       184:{3,5}:{(159,1),(160,1)}
       185:{2,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(202,1),(205,1),(206,1),(213,1),(235,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(207,1)}
       187:{1,3,4,7}:{(163,1),(164,1),(168,1),(206,1),(208,1),(211,1),(228,1),(241,1)}
       188:{2,5,7}:{(164,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(165,1),(166,1),(209,1)}
       190:{1,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       191:{1,2,6}:{(167,1),(169,1),(172,1),(207,1)}
       192:{1,2,4,7}:{(168,1),(169,1),(173,1),(208,1),(210,1),(211,1)}
       193:{1,3,5}:{(170,1),(171,1),(174,1),(209,1),(212,1),(214,1)}
       194:{2,4,6}:{(171,1),(172,1),(173,1),(212,1),(213,1),(235,1)}
       195:{2,3,7}:{(173,1),(176,1),(211,1),(213,1)}
       196:{2,4,5}:{(174,1),(175,1),(212,1),(214,1),(235,1)}
       197:{3,6}:{(175,1),(176,1),(214,1)}
       198:{3,4,7}:{(177,1),(179,1),(215,1)}
       199:{2,3,5,7}:{(177,1),(178,1),(180,1),(182,1),(215,1),(216,1)}
       200:{1,5,7}:{(178,1),(181,1),(183,1)}
       201:{3,4,5}:{(179,1),(184,1),(217,1),(227,1)}
       202:{2,4,6}:{(179,1),(180,1),(215,1),(217,1),(218,1)}
       203:{1,3,5,6}:{(180,1),(181,1),(186,1),(216,1),(218,1),(219,1),(221,1),(238,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(186,1),(216,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(195,1),(223,1),(225,1)}
       212:{2,5}:{(193,1),(194,1)}
       213:{2,3,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       214:{3,5}:{(196,1),(197,1),(227,1)}
       215:{2,4,7}:{(198,1),(199,1),(202,1),(228,1)}
       216:{1,3,5,7}:{(199,1),(200,1),(203,1),(204,1),(228,1),(229,1),(241,1)}
       217:{2,4,5}:{(201,1),(202,1),(205,1),(230,1),(235,1)}
       218:{1,4,6}:{(202,1),(203,1),(228,1),(230,1),(231,1)}
       219:{2,5,6}:{(203,1),(207,1),(229,1),(231,1),(232,1)}
       220:{2,6,7}:{(204,1),(207,1),(229,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(230,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(233,1),(241,1)}
       224:{1,2,5}:{(209,1),(210,1),(212,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(213,1),(233,1),(234,1)}
       226:{2,3,5}:{(212,1),(213,1),(214,1),(234,1),(235,1)}
       227:{3,4}:{(214,1),(235,1)}
       228:{1,4,7}:{(215,1),(216,1),(218,1),(236,1)}
       229:{2,5,7}:{(216,1),(219,1),(220,1),(236,1)}
       230:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       231:{2,4,6}:{(218,1),(219,1),(236,1),(237,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(226,1),(239,1),(240,1)}
       235:{2,4}:{(226,1),(227,1),(240,1)}
       236:{2,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(235,1),(243,1)}
       241:{3,7}:{(236,1),(238,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

1942 :   0:{3,4,5,6}:{(2,1),(3,1),(136,1),(164,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(117,1),(156,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(152,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(32,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(117,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(98,1),(144,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(139,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(61,1),(68,1),(98,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(33,1),(92,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(79,1),(82,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(79,1),(127,1),(130,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(122,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(169,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(32,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(85,1),(92,1),(122,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(52,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(53,1),(55,1)}
        34:{2,3,5}:{(19,1),(52,1),(56,1)}
        35:{2,3,4,7}:{(19,1),(53,1),(58,1),(71,1),(104,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(61,1)}
        40:{3,5,6}:{(22,1),(61,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(104,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(54,1),(68,1),(69,1),(98,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(117,1),(120,1)}
        52:{1,3,5}:{(31,1),(32,1),(34,1),(72,1),(74,1)}
        53:{1,3,4,7}:{(31,1),(33,1),(35,1),(73,1),(76,1),(92,1),(122,1)}
        54:{1,2,5,6}:{(32,1),(36,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        55:{1,2,5,7}:{(32,1),(33,1),(76,1),(78,1)}
        56:{2,4,5}:{(34,1),(39,1),(74,1),(79,1)}
        57:{2,3,5,6}:{(34,1),(36,1),(40,1),(49,1),(75,1),(79,1),(81,1),(82,1),(127,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(76,1),(80,1),(82,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,6}:{(39,1),(40,1),(79,1),(85,1)}
        62:{3,4,5,7}:{(39,1),(80,1),(85,1),(86,1),(129,1)}
        63:{3,5,7}:{(40,1),(41,1),(85,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(77,1),(92,1),(122,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(79,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,5}:{(51,1),(52,1),(95,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(97,1),(112,1),(139,1)}
        74:{1,4,5}:{(52,1),(56,1),(95,1),(98,1)}
        75:{1,3,5,6}:{(52,1),(54,1),(57,1),(68,1),(96,1),(98,1),(100,1),(101,1),(144,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(58,1),(97,1),(99,1),(101,1)}
        77:{1,2,5,7}:{(54,1),(59,1),(69,1),(100,1),(102,1),(149,1)}
        78:{1,2,6}:{(55,1),(101,1)}
        79:{2,4,6}:{(56,1),(57,1),(61,1),(98,1),(104,1)}
        80:{2,4,5,7}:{(56,1),(58,1),(62,1),(99,1),(104,1),(105,1),(146,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(63,1),(71,1),(100,1),(104,1),(106,1),(146,1)}
        82:{2,3,6}:{(58,1),(101,1),(105,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(61,1),(103,1),(107,1),(109,1)}
        85:{3,4,7}:{(61,1),(63,1),(104,1)}
        86:{3,4,6}:{(62,1),(105,1),(109,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(98,1),(111,1),(113,1),(114,1),(136,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(104,1),(114,1),(115,1)}
        95:{2,4,5}:{(72,1),(74,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(72,1),(75,1),(90,1),(117,1),(119,1),(120,1),(132,1),(151,1),(156,1)}
        97:{2,3,5,7}:{(72,1),(73,1),(76,1),(118,1),(120,1)}
        98:{1,4,6}:{(74,1),(75,1),(79,1),(117,1),(122,1)}
        99:{1,4,5,7}:{(74,1),(76,1),(80,1),(118,1),(122,1),(123,1),(158,1)}
       100:{1,3,5,7}:{(75,1),(77,1),(81,1),(92,1),(119,1),(122,1),(124,1),(158,1)}
       101:{1,3,6}:{(76,1),(78,1),(82,1),(120,1),(123,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(79,1),(84,1),(93,1),(121,1),(125,1),(127,1)}
       104:{2,4,7}:{(79,1),(81,1),(85,1),(122,1)}
       105:{2,4,6}:{(80,1),(82,1),(86,1),(123,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(126,1)}
       107:{3,4,5,7}:{(84,1),(85,1),(125,1),(128,1),(129,1)}
       108:{3,4,6,7}:{(85,1),(86,1),(87,1),(126,1),(129,1),(131,1)}
       109:{3,5,6}:{(86,1),(127,1),(129,1),(130,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(129,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(122,1),(133,1),(134,1),(152,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(136,1)}
       117:{2,4,6}:{(95,1),(96,1),(98,1),(136,1),(139,1)}
       118:{2,4,5,7}:{(95,1),(97,1),(99,1),(137,1),(139,1),(140,1),(166,1)}
       119:{2,3,5,7}:{(96,1),(100,1),(112,1),(139,1),(141,1),(149,1),(162,1),(166,1)}
       120:{2,3,6}:{(97,1),(101,1),(140,1)}
       121:{1,4,5,6}:{(98,1),(103,1),(113,1),(138,1),(142,1),(144,1)}
       122:{1,4,7}:{(98,1),(100,1),(104,1),(139,1)}
       123:{1,4,6}:{(99,1),(101,1),(105,1),(140,1),(144,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(143,1)}
       125:{2,4,5,7}:{(103,1),(104,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(143,1),(146,1)}
       127:{2,5,6}:{(105,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       130:{4,5,6}:{(109,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,6}:{(116,1),(117,1),(151,1),(152,1)}
       137:{3,4,5,7}:{(116,1),(118,1),(152,1),(153,1),(169,1)}
       138:{2,4,5,6}:{(117,1),(121,1),(132,1),(151,1),(154,1),(156,1),(170,1)}
       139:{2,4,7}:{(117,1),(119,1),(122,1),(152,1)}
       140:{2,4,6}:{(118,1),(120,1),(123,1),(153,1),(156,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(155,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(122,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(155,1),(158,1)}
       144:{1,5,6}:{(123,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(129,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(129,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(136,1),(138,1),(162,1)}
       152:{3,4,7}:{(136,1),(139,1),(162,1)}
       153:{3,4,6}:{(137,1),(140,1),(164,1)}
       154:{2,4,5,7}:{(138,1),(139,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,4,6,7}:{(139,1),(140,1),(141,1),(143,1),(163,1),(166,1)}
       156:{2,5,6}:{(140,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(152,1),(154,1),(168,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(174,1)}
       164:{3,5,6}:{(153,1),(156,1),(169,1),(170,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(169,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       170:{4,5,6}:{(164,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1943 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

1944 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(30,1),(123,1),(124,1),(135,1),(137,1),(184,1),(189,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(19,1),(99,1),(101,1),(106,1),(109,1),(166,1),(168,1),(218,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(49,1),(97,1),(212,1),(217,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(27,1),(69,1),(117,1),(123,1),(135,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(36,1),(79,1),(82,1),(196,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(33,1),(76,1),(83,1),(243,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,2,4,5,7}:{(4,1),(16,1),(17,1),(48,1),(51,1),(96,1),(99,1),(101,1),(153,1),(218,1),(219,1),(220,1),(263,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(44,1),(50,1),(89,1),(99,1),(106,1),(147,1),(166,1),(204,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(19,1),(20,1),(200,1),(203,1)}
        10:{2,3,5,7}:{(4,1),(16,1),(21,1),(22,1),(59,1),(224,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(19,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(20,1),(24,1),(25,1),(97,1)}
        14:{2,3,5,6,7}:{(9,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(30,1),(32,1),(33,1),(75,1),(184,1),(245,1),(246,1)}
        17:{1,2,4,6}:{(7,1),(11,1),(33,1),(34,1),(70,1),(76,1),(183,1),(243,1),(281,1)}
        18:{2,4,6,7}:{(8,1),(11,1),(35,1),(36,1),(79,1),(179,1),(196,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(12,1),(36,1),(37,1),(80,1),(231,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(27,1),(37,1),(38,1),(123,1)}
        21:{2,3,4,7}:{(10,1),(32,1),(39,1),(79,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(33,1)}
        23:{2,5,6}:{(11,1),(12,1),(36,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(37,1),(41,1),(76,1)}
        25:{3,4,5,6}:{(13,1),(38,1),(125,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(19,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(20,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{2,3,5,7}:{(16,1),(48,1),(49,1),(96,1),(263,1),(264,1),(265,1)}
        31:{1,2,4,6,7}:{(17,1),(18,1),(50,1),(51,1),(94,1),(99,1),(204,1),(205,1),(219,1)}
        32:{1,3,4,7}:{(16,1),(21,1),(48,1),(52,1),(99,1),(154,1),(268,1)}
        33:{1,3,6}:{(16,1),(17,1),(22,1),(49,1),(212,1)}
        34:{1,2,5,6}:{(17,1),(23,1),(51,1),(53,1),(96,1),(152,1),(255,1)}
        35:{2,3,6,7}:{(18,1),(22,1),(50,1),(56,1),(89,1),(224,1)}
        36:{2,5,7}:{(18,1),(19,1),(23,1)}
        37:{1,4,5,7}:{(19,1),(20,1),(24,1),(44,1),(57,1),(99,1)}
        38:{3,4,5,7}:{(20,1),(25,1),(45,1),(154,1),(200,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(52,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(53,1),(56,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(58,1),(61,1),(62,1),(102,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(36,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(37,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(38,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{2,4,7}:{(30,1),(32,1),(70,1),(283,1)}
        49:{2,3,6}:{(30,1),(33,1),(70,1),(281,1)}
        50:{1,3,6,7}:{(31,1),(33,1),(35,1),(69,1),(73,1),(245,1)}
        51:{1,2,5,7}:{(31,1),(34,1),(36,1),(73,1),(122,1),(231,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(39,1),(70,1),(75,1),(76,1),(125,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(40,1),(71,1),(73,1),(75,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(41,1),(74,1),(76,1),(77,1),(85,1),(124,1),(131,1),(139,1),(172,1),(183,1),(192,1),(193,1),(230,1),(236,1),(241,1),(243,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        55:{2,3,4,6,7}:{(35,1),(39,1),(72,1),(78,1),(79,1),(116,1),(133,1),(174,1),(185,1),(238,1)}
        56:{2,3,5,7}:{(35,1),(36,1),(40,1),(73,1),(79,1),(80,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(41,1),(65,1),(79,1),(80,1)}
        58:{1,3,4,5,7}:{(37,1),(38,1),(42,1),(66,1),(80,1),(81,1),(119,1),(128,1),(136,1),(173,1),(181,1),(237,1)}
        59:{2,3,5}:{(39,1),(75,1),(82,1)}
        60:{2,4,6}:{(40,1),(76,1),(79,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(80,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(81,1),(84,1),(85,1),(131,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(51,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(56,1),(86,1),(88,1),(89,1),(104,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(57,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(58,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(49,1),(50,1),(94,1),(95,1),(212,1),(264,1)}
        70:{2,4,6}:{(48,1),(49,1),(52,1),(96,1)}
        71:{2,3,5,6}:{(49,1),(53,1),(95,1),(96,1),(97,1),(152,1),(155,1),(212,1)}
        72:{1,3,4,6,7}:{(50,1),(52,1),(55,1),(94,1),(98,1),(99,1),(154,1),(157,1),(204,1),(212,1),(214,1),(262,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(53,1),(56,1),(95,1),(99,1)}
        74:{1,2,4,5,7}:{(51,1),(54,1),(57,1),(87,1),(99,1),(100,1),(108,1),(141,1),(153,1),(159,1),(167,1),(203,1),(210,1),(218,1),(219,1),(256,1),(263,1),(288,1),(292,1)}
        75:{1,3,5}:{(52,1),(59,1),(96,1),(101,1),(155,1)}
        76:{1,4,6}:{(53,1),(60,1),(97,1),(99,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(61,1),(100,1),(102,1),(103,1),(155,1),(212,1),(215,1),(221,1),(260,1),(262,1),(307,1),(314,1)}
        78:{2,3,5,7}:{(55,1),(59,1),(98,1),(104,1),(105,1),(145,1),(203,1)}
        79:{2,4,7}:{(56,1),(60,1),(99,1),(106,1)}
        80:{3,5,7}:{(57,1),(61,1),(89,1),(106,1)}
        81:{2,4,5,7}:{(58,1),(62,1),(90,1),(107,1),(108,1),(159,1),(167,1),(203,1)}
        82:{2,4,5}:{(59,1),(60,1),(101,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(106,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(107,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(108,1),(111,1),(162,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(73,1),(112,1),(113,1),(114,1),(126,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(74,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(243,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(79,1),(113,1),(115,1),(116,1),(133,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(80,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(81,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(72,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(73,1),(122,1),(123,1),(184,1)}
        96:{2,5}:{(70,1),(75,1)}
        97:{2,4,6}:{(71,1),(76,1),(123,1),(124,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(78,1),(122,1),(126,1),(127,1),(184,1),(231,1)}
        99:{1,4,7}:{(73,1),(76,1),(79,1),(123,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(80,1),(114,1),(128,1),(129,1),(184,1),(237,1),(245,1),(300,1)}
       101:{1,4,5}:{(75,1),(76,1),(82,1),(124,1)}
       102:{1,3,4,6}:{(76,1),(77,1),(83,1),(125,1),(128,1),(130,1),(131,1),(280,1),(303,1),(312,1)}
       103:{2,3,5,6}:{(77,1),(129,1),(131,1),(132,1),(139,1),(186,1),(198,1),(230,1),(238,1),(241,1),(242,1),(281,1)}
       104:{2,3,5,6}:{(78,1),(126,1),(133,1),(176,1),(230,1),(238,1)}
       105:{2,4,5,7}:{(78,1),(79,1),(82,1),(127,1),(133,1),(134,1)}
       106:{3,4,7}:{(79,1),(80,1),(83,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(84,1),(117,1),(135,1),(136,1),(237,1)}
       108:{1,4,5,7}:{(81,1),(85,1),(118,1),(136,1),(190,1),(231,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(131,1),(135,1),(137,1),(138,1),(242,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(136,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(99,1),(140,1),(141,1),(157,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(100,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(106,1),(145,1),(164,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(107,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(108,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(98,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(99,1),(154,1)}
       124:{2,4,5}:{(96,1),(97,1),(101,1),(155,1)}
       125:{3,4,6}:{(97,1),(154,1),(155,1),(212,1)}
       126:{1,3,5,6}:{(98,1),(104,1),(152,1),(157,1),(212,1),(255,1),(262,1)}
       127:{1,4,5,7}:{(98,1),(99,1),(101,1),(105,1),(153,1),(157,1)}
       128:{1,3,4,7}:{(99,1),(100,1),(102,1),(106,1),(154,1),(159,1),(261,1),(292,1),(308,1)}
       129:{2,3,5,7}:{(100,1),(103,1),(143,1),(159,1),(160,1),(167,1),(203,1),(224,1),(263,1),(264,1)}
       130:{1,3,4,5}:{(101,1),(102,1),(109,1),(155,1),(161,1),(215,1),(294,1),(310,1),(314,1)}
       131:{2,4,6}:{(102,1),(103,1),(159,1),(161,1),(162,1)}
       132:{1,3,5,6}:{(103,1),(160,1),(162,1),(163,1),(215,1),(221,1),(255,1),(262,1)}
       133:{2,4,6}:{(104,1),(105,1),(157,1),(164,1)}
       134:{3,4,5,7}:{(105,1),(106,1),(109,1),(145,1),(164,1)}
       135:{2,3,4,7}:{(106,1),(107,1),(110,1),(159,1),(166,1),(261,1),(264,1)}
       136:{1,3,5,7}:{(107,1),(108,1),(111,1),(147,1),(166,1),(167,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(161,1),(168,1),(265,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(162,1),(166,1),(168,1),(169,1),(221,1)}
       139:{2,5,6}:{(111,1),(167,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(128,1),(171,1),(173,1),(174,1),(188,1)}
       143:{2,3,6,7}:{(114,1),(129,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(133,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(135,1),(174,1),(177,1),(178,1),(194,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(136,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(126,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(125,1),(184,1)}
       155:{3,5}:{(124,1),(125,1)}
       156:{2,3,4,6}:{(125,1),(131,1),(185,1),(186,1),(187,1),(198,1),(238,1),(249,1),(312,1)}
       157:{1,4,6}:{(126,1),(127,1),(133,1),(183,1)}
       158:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(134,1),(173,1),(184,1),(188,1),(189,1),(226,1),(239,1),(272,1),(300,1)}
       159:{2,4,7}:{(128,1),(129,1),(131,1),(190,1)}
       160:{1,3,5,7}:{(129,1),(132,1),(175,1),(190,1),(191,1),(231,1),(245,1)}
       161:{2,4,5}:{(130,1),(131,1),(186,1),(192,1),(241,1)}
       162:{1,4,6}:{(131,1),(132,1),(190,1),(192,1)}
       163:{1,2,5,6}:{(132,1),(139,1),(191,1),(193,1),(241,1),(281,1)}
       164:{3,4,6}:{(133,1),(134,1),(176,1)}
       165:{2,3,4,5,7}:{(134,1),(135,1),(137,1),(177,1),(189,1),(194,1),(195,1),(282,1),(300,1),(302,1),(313,1)}
       166:{1,3,4,7}:{(135,1),(136,1),(138,1),(190,1),(196,1),(245,1)}
       167:{2,5,7}:{(136,1),(139,1),(179,1),(196,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(192,1),(197,1),(246,1)}
       169:{2,4,6}:{(138,1),(139,1),(196,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(157,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(159,1),(203,1),(204,1),(217,1)}
       175:{1,3,6,7}:{(143,1),(160,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(164,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(166,1),(204,1),(207,1),(208,1),(211,1),(222,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(167,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(157,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(155,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(156,1),(159,1),(213,1),(214,1),(224,1),(308,1)}
       186:{2,3,5}:{(155,1),(156,1),(161,1),(215,1),(314,1)}
       187:{1,3,4,6}:{(156,1),(162,1),(214,1),(215,1),(216,1),(221,1),(262,1),(268,1)}
       188:{1,3,4,6}:{(157,1),(158,1),(164,1),(202,1),(212,1),(217,1),(250,1),(262,1),(287,1),(307,1)}
       189:{2,4,5,7}:{(158,1),(159,1),(161,1),(203,1),(213,1),(217,1),(218,1),(263,1)}
       190:{1,4,7}:{(159,1),(160,1),(162,1)}
       191:{1,2,5,7}:{(160,1),(163,1),(167,1),(205,1),(219,1),(263,1)}
       192:{1,4,5}:{(161,1),(162,1),(215,1)}
       193:{1,2,4,6}:{(162,1),(163,1),(169,1),(216,1),(219,1),(220,1),(221,1)}
       194:{2,3,4,6}:{(164,1),(165,1),(206,1),(217,1),(222,1),(295,1),(307,1),(309,1)}
       195:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(207,1),(218,1),(222,1),(223,1),(261,1),(267,1),(292,1),(294,1),(310,1)}
       196:{2,4,7}:{(166,1),(167,1),(169,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(221,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(286,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(188,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(190,1),(231,1),(243,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(191,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(194,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(196,1),(234,1),(235,1),(247,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(186,1),(189,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(187,1),(190,1),(239,1),(240,1),(245,1)}
       215:{1,3,5}:{(186,1),(187,1),(192,1),(241,1)}
       216:{2,4,6}:{(187,1),(240,1),(241,1),(242,1),(281,1),(283,1)}
       217:{2,4,6}:{(188,1),(189,1),(230,1),(238,1),(243,1),(281,1)}
       218:{1,4,5,7}:{(189,1),(190,1),(192,1),(231,1),(239,1),(243,1)}
       219:{1,2,4,7}:{(190,1),(191,1),(193,1),(196,1),(240,1),(245,1)}
       220:{1,2,4,5}:{(192,1),(193,1),(197,1),(241,1),(246,1),(283,1)}
       221:{1,3,6}:{(193,1),(198,1),(242,1),(245,1),(246,1)}
       222:{1,3,4,6}:{(194,1),(195,1),(233,1),(243,1),(247,1),(280,1),(284,1),(303,1)}
       223:{2,4,5,7}:{(195,1),(196,1),(197,1),(234,1),(247,1),(248,1),(279,1),(304,1)}
       224:{2,3,7}:{(196,1),(198,1),(245,1)}
       225:{2,3,5}:{(197,1),(198,1),(246,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(217,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(219,1),(254,1),(256,1),(257,1),(266,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(222,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(224,1),(257,1),(259,1),(269,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(217,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(215,1),(218,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(216,1),(263,1),(264,1)}
       241:{2,5}:{(215,1),(216,1)}
       242:{2,3,6}:{(216,1),(221,1),(264,1),(265,1)}
       243:{1,4,6}:{(217,1),(218,1),(255,1),(262,1)}
       244:{1,2,4,5,7}:{(218,1),(219,1),(220,1),(223,1),(256,1),(263,1),(266,1),(267,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       245:{1,3,7}:{(219,1),(221,1),(224,1),(264,1)}
       246:{1,3,5}:{(220,1),(221,1),(225,1),(265,1),(268,1)}
       247:{2,4,6}:{(222,1),(223,1),(258,1),(269,1)}
       248:{2,3,5,7}:{(223,1),(224,1),(225,1),(267,1),(269,1),(270,1),(298,1)}
       249:{2,3,4}:{(225,1),(268,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(243,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(245,1),(275,1),(277,1),(284,1)}
       258:{2,5,6}:{(233,1),(234,1),(247,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(243,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(241,1),(281,1)}
       264:{2,3,7}:{(240,1),(242,1),(245,1)}
       265:{2,3,5}:{(241,1),(242,1),(246,1),(283,1)}
       266:{1,2,4,6}:{(243,1),(244,1),(247,1),(276,1),(281,1),(284,1),(299,1),(303,1),(305,1)}
       267:{1,3,5,7}:{(244,1),(245,1),(246,1),(248,1),(282,1),(284,1),(285,1),(300,1),(306,1)}
       268:{1,3,4}:{(246,1),(249,1),(283,1)}
       269:{2,3,6}:{(247,1),(248,1),(284,1)}
       270:{2,3,4,7}:{(248,1),(249,1),(279,1),(285,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(266,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(269,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(265,1),(267,1),(295,1),(296,1),(311,1)}
       283:{2,4}:{(265,1),(268,1)}
       284:{1,3,6}:{(266,1),(267,1),(269,1),(295,1),(307,1)}
       285:{1,3,4,7}:{(267,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       286:{2,3,4,6}:{(269,1),(270,1),(293,1),(297,1),(298,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(284,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(284,1),(305,1)}
       296:{2,4,7}:{(282,1),(283,1),(285,1),(305,1)}
       297:{1,3,4,6}:{(284,1),(285,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(286,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

1945 :   0:{2,4,5,6,7}:{(1,1),(2,1),(12,1),(15,1),(91,1),(165,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(26,1),(31,1),(62,1),(142,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(124,1),(205,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(12,1),(37,1),(53,1),(114,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(183,1)}
         5:{3,4,5,6}:{(13,1),(14,1),(244,1),(262,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(15,1)}
         7:{2,3,5,6,7}:{(2,1),(12,1),(15,1),(16,1),(45,1),(48,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(41,1),(48,1),(96,1),(117,1),(237,1),(254,1),(259,1),(263,1),(301,1)}
         9:{3,5,6,7}:{(3,1),(20,1),(80,1),(151,1)}
        10:{1,3,4,5,6}:{(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(70,1),(78,1),(122,1),(138,1),(224,1)}
        11:{1,3,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(25,1),(31,1),(62,1),(72,1),(80,1),(124,1)}
        12:{2,5,6,7}:{(4,1),(25,1),(26,1),(223,1)}
        13:{3,4,5,7}:{(5,1),(6,1),(27,1),(205,1),(284,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(229,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(31,1)}
        16:{1,3,5,6,7}:{(7,1),(26,1),(31,1),(32,1),(72,1),(75,1),(80,1)}
        17:{2,3,4,6}:{(8,1),(28,1),(33,1),(153,1),(229,1),(269,1),(282,1),(310,1)}
        18:{1,3,4,5,7}:{(8,1),(33,1),(34,1),(67,1),(75,1),(84,1),(130,1),(145,1),(148,1),(226,1),(230,1),(281,1)}
        19:{3,4,5,6}:{(35,1),(36,1),(194,1),(292,1)}
        20:{3,4,6,7}:{(9,1),(35,1),(37,1)}
        21:{2,3,5,6,7}:{(9,1),(12,1),(37,1),(38,1),(45,1),(86,1)}
        22:{2,3,4,5,7}:{(39,1),(40,1),(41,1),(86,1),(96,1),(168,1),(187,1),(254,1),(289,1),(293,1),(311,1)}
        23:{1,3,4,5,7}:{(10,1),(11,1),(13,1),(35,1),(42,1),(49,1),(87,1),(99,1),(107,1),(158,1),(177,1),(183,1)}
        24:{2,4,5,6}:{(10,1),(42,1),(43,1),(44,1),(101,1),(179,1),(258,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(103,1)}
        26:{1,5,6,7}:{(12,1),(46,1),(257,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(259,1)}
        28:{2,3,5,6}:{(14,1),(17,1),(48,1),(50,1),(244,1),(258,1)}
        29:{1,4,5,6}:{(14,1),(49,1),(50,1),(51,1),(189,1)}
        30:{2,3,4,6,7}:{(15,1),(17,1),(45,1),(48,1),(52,1),(96,1),(164,1),(182,1),(191,1),(259,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(49,1),(53,1)}
        32:{2,5,6,7}:{(16,1),(53,1),(103,1),(106,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(50,1),(55,1),(110,1),(115,1),(189,1),(300,1)}
        34:{2,4,5,7}:{(18,1),(55,1),(57,1),(98,1),(106,1),(170,1),(186,1),(190,1)}
        35:{3,4,5,7}:{(19,1),(20,1),(58,1),(151,1),(303,1)}
        36:{2,4,5,6}:{(19,1),(58,1),(59,1),(60,1),(270,1)}
        37:{2,4,6,7}:{(20,1),(21,1),(58,1),(62,1)}
        38:{1,3,5,6,7}:{(21,1),(26,1),(62,1),(63,1),(72,1),(119,1),(124,1)}
        39:{2,3,4,6}:{(22,1),(59,1),(64,1),(207,1),(228,1),(270,1),(282,1),(314,1)}
        40:{1,3,4,5,7}:{(22,1),(64,1),(65,1),(67,1),(119,1),(128,1),(130,1),(199,1),(202,1),(267,1),(271,1),(281,1)}
        41:{2,3,4,5}:{(66,1),(67,1),(148,1),(202,1),(215,1),(221,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(25,1),(68,1),(69,1),(134,1),(218,1),(223,1)}
        43:{2,3,5,6}:{(24,1),(66,1),(68,1),(70,1),(78,1),(122,1)}
        44:{1,4,5,6}:{(24,1),(69,1),(70,1),(220,1),(283,1)}
        45:{2,3,6,7}:{(25,1),(68,1),(72,1),(80,1),(124,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(69,1),(72,1)}
        47:{1,2,5,6,7}:{(26,1),(32,1),(63,1),(73,1),(74,1),(139,1),(143,1),(197,1),(223,1),(283,1),(288,1),(307,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(30,1),(75,1),(205,1),(223,1)}
        49:{1,4,5,7}:{(27,1),(29,1),(31,1),(75,1),(76,1),(226,1)}
        50:{1,3,5,6}:{(28,1),(29,1),(33,1),(75,1),(77,1),(78,1),(283,1)}
        51:{2,4,5,6}:{(29,1),(76,1),(77,1),(78,1),(147,1)}
        52:{1,3,4,6,7}:{(30,1),(31,1),(33,1),(72,1),(75,1),(79,1),(80,1),(130,1),(145,1),(149,1),(222,1),(226,1)}
        53:{2,4,6,7}:{(31,1),(32,1),(76,1),(80,1)}
        54:{2,3,5,6,7}:{(32,1),(74,1),(80,1),(81,1),(140,1),(144,1),(151,1),(223,1),(233,1),(266,1),(307,1),(314,1)}
        55:{2,4,6}:{(33,1),(34,1),(77,1),(83,1)}
        56:{1,2,4,5,7}:{(34,1),(82,1),(84,1),(132,1),(143,1),(156,1),(211,1),(226,1),(230,1),(234,1),(281,1),(285,1),(308,1)}
        57:{2,3,5,7}:{(34,1),(83,1),(84,1),(85,1),(133,1),(155,1),(212,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(37,1),(86,1),(87,1),(289,1)}
        59:{2,3,5,6}:{(36,1),(39,1),(86,1),(88,1),(194,1),(258,1)}
        60:{1,4,5,6}:{(36,1),(87,1),(88,1),(89,1),(239,1)}
        61:{2,3,4,6,7}:{(37,1),(39,1),(45,1),(86,1),(90,1),(96,1),(113,1),(182,1),(241,1),(289,1)}
        62:{1,4,6,7}:{(37,1),(38,1),(87,1),(91,1)}
        63:{2,5,6,7}:{(38,1),(91,1),(103,1),(157,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(88,1),(93,1),(161,1),(166,1),(239,1),(300,1)}
        65:{2,4,5,7}:{(40,1),(93,1),(95,1),(98,1),(157,1),(170,1),(236,1),(240,1)}
        66:{2,3,4,6}:{(41,1),(43,1),(96,1),(97,1),(110,1),(161,1),(179,1),(249,1)}
        67:{1,3,4,5}:{(41,1),(97,1),(98,1),(173,1),(256,1)}
        68:{2,3,5,7}:{(42,1),(43,1),(45,1),(96,1),(99,1),(107,1),(158,1)}
        69:{1,4,5,7}:{(42,1),(44,1),(46,1),(99,1),(253,1),(257,1)}
        70:{1,3,5,6}:{(43,1),(44,1),(97,1),(99,1),(101,1)}
        71:{1,2,4,5,6}:{(44,1),(51,1),(89,1),(100,1),(101,1),(102,1),(108,1),(159,1),(171,1),(179,1),(184,1),(189,1),(239,1),(256,1),(258,1),(263,1),(293,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(99,1),(103,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(53,1),(91,1),(100,1),(103,1),(104,1),(105,1),(182,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,5,6,7}:{(47,1),(54,1),(92,1),(104,1),(105,1),(181,1),(183,1),(185,1),(235,1),(257,1),(265,1),(295,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(52,1),(106,1),(107,1),(257,1)}
        76:{2,4,5,7}:{(49,1),(51,1),(53,1),(106,1),(107,1),(186,1)}
        77:{2,5,6}:{(50,1),(55,1),(106,1)}
        78:{3,5,6}:{(51,1),(107,1),(110,1)}
        79:{2,4,6,7}:{(52,1),(55,1),(103,1),(106,1),(112,1),(170,1),(186,1)}
        80:{3,6,7}:{(53,1),(107,1)}
        81:{2,4,6,7}:{(54,1),(105,1),(113,1),(114,1),(186,1),(261,1),(289,1),(312,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(108,1),(115,1),(189,1),(195,1),(300,1),(302,1),(313,1)}
        83:{2,3,6}:{(55,1),(57,1),(115,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(115,1),(117,1),(118,1),(173,1),(196,1),(247,1),(301,1)}
        85:{2,3,4,7}:{(57,1),(116,1),(118,1),(174,1),(186,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(119,1),(151,1),(223,1)}
        87:{1,4,5,7}:{(58,1),(60,1),(62,1),(119,1),(120,1),(267,1)}
        88:{1,3,5,6}:{(59,1),(60,1),(64,1),(119,1),(121,1),(122,1),(283,1)}
        89:{2,4,5,6}:{(60,1),(120,1),(121,1),(122,1),(201,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(72,1),(119,1),(123,1),(124,1),(130,1),(199,1),(203,1),(222,1),(267,1)}
        91:{2,4,6,7}:{(62,1),(63,1),(120,1),(124,1)}
        92:{2,3,5,6,7}:{(63,1),(74,1),(124,1),(125,1),(140,1),(198,1),(205,1),(223,1),(225,1),(274,1),(288,1),(310,1)}
        93:{2,4,6}:{(64,1),(65,1),(121,1),(127,1)}
        94:{1,2,4,5,7}:{(65,1),(126,1),(128,1),(132,1),(197,1),(210,1),(211,1),(267,1),(271,1),(275,1),(281,1),(304,1),(308,1)}
        95:{2,3,5,7}:{(65,1),(127,1),(128,1),(129,1),(133,1),(209,1),(212,1)}
        96:{2,3,4,7}:{(66,1),(68,1),(130,1),(145,1),(199,1),(218,1),(276,1)}
        97:{1,3,4,6}:{(66,1),(67,1),(70,1),(130,1),(131,1),(213,1),(220,1)}
        98:{2,4,5}:{(67,1),(131,1),(133,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(130,1),(134,1)}
       100:{1,2,4,5,7}:{(69,1),(71,1),(73,1),(76,1),(120,1),(134,1),(135,1),(142,1),(143,1),(197,1),(211,1),(218,1),(223,1),(226,1),(267,1),(281,1),(285,1),(304,1),(308,1)}
       101:{2,5,6}:{(70,1),(131,1),(134,1)}
       102:{1,3,5,6}:{(71,1),(78,1),(122,1),(135,1),(137,1),(138,1),(213,1),(280,1),(287,1),(306,1),(309,1),(310,1),(314,1)}
       103:{2,6,7}:{(72,1),(134,1)}
       104:{1,3,6,7}:{(73,1),(80,1),(124,1),(135,1),(140,1),(309,1),(310,1),(314,1)}
       105:{1,4,6,7}:{(74,1),(81,1),(125,1),(142,1),(226,1),(267,1),(286,1),(305,1)}
       106:{2,5,7}:{(75,1),(77,1),(79,1)}
       107:{3,5,7}:{(76,1),(78,1),(80,1),(145,1)}
       108:{1,2,5,6}:{(77,1),(82,1),(143,1),(146,1),(234,1),(283,1),(288,1)}
       109:{2,3,5,6}:{(77,1),(78,1),(83,1),(144,1),(146,1),(147,1),(155,1)}
       110:{3,4,6}:{(78,1),(145,1),(147,1),(148,1)}
       111:{1,2,4,6,7}:{(79,1),(82,1),(139,1),(143,1),(149,1),(211,1),(222,1),(226,1),(231,1)}
       112:{2,3,6,7}:{(79,1),(80,1),(83,1),(144,1),(149,1),(212,1)}
       113:{3,4,6,7}:{(80,1),(81,1),(145,1),(151,1),(228,1),(303,1),(314,1)}
       114:{2,4,5,7}:{(81,1),(142,1),(151,1),(152,1),(223,1)}
       115:{1,3,6}:{(82,1),(83,1),(84,1),(153,1),(310,1)}
       116:{2,3,4,6}:{(83,1),(85,1),(147,1),(154,1),(155,1)}
       117:{2,3,5,7}:{(84,1),(153,1),(156,1),(215,1),(234,1),(276,1),(308,1)}
       118:{1,3,4,7}:{(84,1),(85,1),(154,1),(156,1),(216,1),(226,1),(284,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(90,1),(157,1),(158,1),(257,1)}
       120:{2,4,5,7}:{(87,1),(89,1),(91,1),(157,1),(158,1),(236,1)}
       121:{2,5,6}:{(88,1),(93,1),(157,1)}
       122:{3,5,6}:{(89,1),(158,1),(161,1)}
       123:{2,4,6,7}:{(90,1),(93,1),(103,1),(157,1),(163,1),(170,1),(236,1)}
       124:{3,6,7}:{(91,1),(158,1)}
       125:{2,4,6,7}:{(92,1),(105,1),(164,1),(165,1),(236,1),(259,1),(291,1),(302,1)}
       126:{1,2,4,6}:{(93,1),(94,1),(159,1),(166,1),(239,1),(245,1),(300,1),(312,1),(313,1)}
       127:{2,3,6}:{(93,1),(95,1),(166,1)}
       128:{1,3,5,7}:{(94,1),(95,1),(166,1),(168,1),(169,1),(173,1),(246,1),(247,1),(311,1)}
       129:{2,3,4,7}:{(95,1),(167,1),(169,1),(174,1),(236,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(99,1),(170,1),(247,1),(253,1)}
       131:{2,4,6}:{(97,1),(98,1),(101,1),(170,1),(172,1)}
       132:{1,2,4,5}:{(98,1),(171,1),(173,1),(252,1),(256,1),(299,1)}
       133:{2,3,5}:{(98,1),(172,1),(173,1),(174,1)}
       134:{2,5,7}:{(99,1),(101,1),(103,1),(170,1)}
       135:{1,3,5,7}:{(100,1),(102,1),(104,1),(107,1),(158,1),(176,1),(177,1),(247,1),(301,1),(311,1)}
       136:{1,2,5,6}:{(101,1),(171,1),(175,1),(178,1),(299,1),(313,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(172,1),(176,1),(178,1),(179,1),(249,1),(251,1),(258,1),(298,1),(299,1),(313,1)}
       138:{1,3,4,6}:{(102,1),(110,1),(161,1),(177,1),(179,1),(180,1),(189,1),(239,1),(262,1),(292,1)}
       139:{1,2,6,7}:{(103,1),(175,1),(181,1),(313,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(176,1),(181,1),(182,1),(298,1),(313,1)}
       141:{1,3,4,6,7}:{(104,1),(105,1),(113,1),(164,1),(177,1),(182,1),(183,1),(255,1)}
       142:{1,4,5,7}:{(105,1),(114,1),(165,1),(183,1),(184,1),(257,1)}
       143:{1,2,5,7}:{(106,1),(108,1),(111,1),(185,1),(257,1),(264,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(109,1),(112,1),(185,1),(186,1)}
       145:{3,4,7}:{(107,1),(110,1),(186,1)}
       146:{1,3,5,6}:{(108,1),(109,1),(115,1),(185,1),(188,1),(189,1),(196,1)}
       147:{2,4,6}:{(109,1),(110,1),(186,1),(189,1),(190,1)}
       148:{3,4,5}:{(110,1),(190,1)}
       149:{1,3,6,7}:{(111,1),(112,1),(115,1),(185,1),(191,1),(247,1)}
       150:{2,3,4,6,7}:{(112,1),(113,1),(116,1),(182,1),(186,1),(192,1),(193,1),(248,1),(261,1),(298,1)}
       151:{3,5,7}:{(113,1),(114,1),(194,1)}
       152:{2,4,5,6}:{(114,1),(184,1),(194,1),(258,1),(261,1),(312,1)}
       153:{2,3,6}:{(115,1),(117,1),(195,1),(313,1)}
       154:{1,3,4,6}:{(115,1),(116,1),(118,1),(189,1),(195,1),(196,1),(262,1)}
       155:{2,3,5}:{(116,1),(190,1),(196,1)}
       156:{2,4,7}:{(117,1),(118,1),(195,1),(252,1)}
       157:{2,5,7}:{(119,1),(121,1),(123,1)}
       158:{3,5,7}:{(120,1),(122,1),(124,1),(199,1)}
       159:{1,2,5,6}:{(121,1),(126,1),(197,1),(200,1),(275,1),(283,1),(307,1)}
       160:{2,3,5,6}:{(121,1),(122,1),(127,1),(198,1),(200,1),(201,1),(209,1)}
       161:{3,4,6}:{(122,1),(199,1),(201,1),(202,1)}
       162:{1,2,4,6,7}:{(123,1),(126,1),(139,1),(197,1),(203,1),(211,1),(222,1),(267,1),(272,1)}
       163:{2,3,6,7}:{(123,1),(124,1),(127,1),(198,1),(203,1),(212,1)}
       164:{3,4,6,7}:{(124,1),(125,1),(199,1),(205,1),(269,1),(284,1),(310,1)}
       165:{2,4,5,7}:{(125,1),(142,1),(205,1),(206,1),(223,1)}
       166:{1,3,6}:{(126,1),(127,1),(128,1),(207,1),(314,1)}
       167:{2,3,4,6}:{(127,1),(129,1),(201,1),(208,1),(209,1)}
       168:{2,3,5,7}:{(128,1),(207,1),(210,1),(215,1),(275,1),(276,1),(308,1)}
       169:{1,3,4,7}:{(128,1),(129,1),(208,1),(210,1),(216,1),(267,1),(303,1)}
       170:{2,4,7}:{(130,1),(131,1),(134,1),(212,1)}
       171:{1,2,4,6}:{(131,1),(132,1),(136,1),(211,1),(213,1),(220,1),(279,1)}
       172:{2,3,6}:{(131,1),(133,1),(212,1),(213,1)}
       173:{1,3,5}:{(132,1),(133,1),(213,1),(215,1),(216,1)}
       174:{2,3,4}:{(133,1),(216,1)}
       175:{1,2,5,7}:{(134,1),(136,1),(139,1),(211,1),(217,1),(308,1)}
       176:{2,3,5,7}:{(134,1),(135,1),(137,1),(140,1),(212,1),(217,1),(218,1),(223,1),(276,1),(308,1)}
       177:{1,3,4,7}:{(135,1),(138,1),(145,1),(199,1),(218,1),(226,1),(267,1),(284,1),(303,1)}
       178:{1,3,5,6}:{(136,1),(137,1),(213,1),(217,1),(220,1),(280,1),(283,1),(309,1)}
       179:{2,4,6}:{(137,1),(138,1),(218,1),(220,1),(221,1)}
       180:{1,3,4,5}:{(138,1),(148,1),(202,1),(221,1),(230,1),(271,1),(280,1),(287,1),(306,1)}
       181:{1,3,6,7}:{(139,1),(140,1),(217,1),(222,1),(309,1)}
       182:{2,4,6,7}:{(140,1),(141,1),(218,1),(222,1),(223,1),(282,1)}
       183:{1,3,5,7}:{(141,1),(142,1),(151,1),(205,1),(223,1),(224,1)}
       184:{1,4,5,6}:{(142,1),(152,1),(206,1),(224,1),(283,1),(286,1),(305,1)}
       185:{1,3,5,7}:{(143,1),(144,1),(146,1),(149,1),(225,1),(226,1)}
       186:{2,4,7}:{(144,1),(145,1),(147,1),(226,1)}
       187:{3,4,5,7}:{(145,1),(148,1),(151,1),(227,1),(228,1)}
       188:{2,3,5,6}:{(146,1),(153,1),(225,1),(229,1),(234,1),(287,1),(288,1),(310,1)}
       189:{1,4,6}:{(146,1),(147,1),(226,1),(229,1),(230,1)}
       190:{2,4,5}:{(147,1),(148,1),(155,1),(230,1)}
       191:{2,3,6,7}:{(149,1),(153,1),(225,1),(231,1),(276,1),(310,1)}
       192:{1,3,4,6,7}:{(149,1),(150,1),(154,1),(222,1),(226,1),(231,1),(232,1),(277,1),(284,1),(286,1),(309,1),(310,1)}
       193:{2,3,5,7}:{(150,1),(151,1),(155,1),(223,1),(227,1),(232,1),(233,1)}
       194:{3,5,6}:{(151,1),(152,1),(228,1),(314,1)}
       195:{2,4,6}:{(153,1),(154,1),(156,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(230,1),(234,1),(287,1)}
       197:{1,2,5,7}:{(157,1),(159,1),(162,1),(235,1),(257,1),(294,1)}
       198:{2,3,5,7}:{(157,1),(158,1),(160,1),(163,1),(235,1),(236,1)}
       199:{3,4,7}:{(158,1),(161,1),(236,1)}
       200:{1,3,5,6}:{(159,1),(160,1),(166,1),(235,1),(238,1),(239,1),(246,1)}
       201:{2,4,6}:{(160,1),(161,1),(236,1),(239,1),(240,1)}
       202:{3,4,5}:{(161,1),(240,1)}
       203:{1,3,6,7}:{(162,1),(163,1),(166,1),(235,1),(241,1),(247,1)}
       204:{2,3,4,6,7}:{(163,1),(164,1),(167,1),(182,1),(236,1),(242,1),(243,1),(248,1),(291,1),(298,1)}
       205:{3,5,7}:{(164,1),(165,1),(244,1)}
       206:{2,4,5,6}:{(165,1),(184,1),(244,1),(258,1),(291,1),(302,1)}
       207:{2,3,6}:{(166,1),(168,1),(245,1),(313,1)}
       208:{1,3,4,6}:{(166,1),(167,1),(169,1),(239,1),(245,1),(246,1),(292,1)}
       209:{2,3,5}:{(167,1),(240,1),(246,1)}
       210:{2,4,7}:{(168,1),(169,1),(245,1),(252,1)}
       211:{1,2,4,7}:{(170,1),(171,1),(175,1),(247,1),(253,1),(296,1)}
       212:{2,3,7}:{(170,1),(172,1),(247,1)}
       213:{1,3,6}:{(171,1),(172,1),(173,1),(247,1),(249,1)}
       214:{2,3,4,6}:{(172,1),(174,1),(179,1),(248,1),(250,1),(251,1),(262,1),(292,1),(298,1)}
       215:{2,3,5}:{(173,1),(249,1),(252,1),(299,1)}
       216:{1,3,4}:{(173,1),(174,1),(252,1)}
       217:{1,3,5,7}:{(175,1),(176,1),(178,1),(181,1),(247,1),(253,1),(257,1)}
       218:{2,4,7}:{(176,1),(177,1),(179,1),(253,1)}
       219:{1,3,4,5,7}:{(177,1),(180,1),(183,1),(187,1),(237,1),(254,1),(255,1),(260,1),(290,1),(297,1),(301,1),(311,1)}
       220:{1,4,6}:{(178,1),(179,1),(253,1),(256,1)}
       221:{2,4,5}:{(179,1),(180,1),(251,1),(256,1),(299,1)}
       222:{1,4,6,7}:{(181,1),(182,1),(253,1),(257,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(257,1),(258,1)}
       224:{1,3,5,6}:{(183,1),(184,1),(194,1),(244,1),(255,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(188,1),(191,1),(259,1),(264,1),(301,1)}
       226:{1,4,7}:{(185,1),(186,1),(189,1),(259,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(190,1),(193,1),(260,1),(261,1)}
       228:{3,4,6}:{(187,1),(194,1),(261,1)}
       229:{2,4,6}:{(188,1),(189,1),(259,1),(262,1),(263,1)}
       230:{1,4,5}:{(189,1),(190,1),(196,1),(263,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(195,1),(259,1),(264,1),(296,1),(302,1),(313,1)}
       232:{1,3,5,7}:{(192,1),(193,1),(196,1),(257,1),(260,1),(264,1),(265,1),(301,1)}
       233:{2,3,5,6}:{(193,1),(194,1),(258,1),(261,1),(265,1),(298,1)}
       234:{2,5}:{(195,1),(196,1)}
       235:{1,3,5,7}:{(197,1),(198,1),(200,1),(203,1),(266,1),(267,1)}
       236:{2,4,7}:{(198,1),(199,1),(201,1),(267,1)}
       237:{3,4,5,7}:{(199,1),(202,1),(205,1),(268,1),(269,1)}
       238:{2,3,5,6}:{(200,1),(207,1),(266,1),(270,1),(275,1),(306,1),(307,1),(314,1)}
       239:{1,4,6}:{(200,1),(201,1),(267,1),(270,1),(271,1)}
       240:{2,4,5}:{(201,1),(202,1),(209,1),(271,1)}
       241:{2,3,6,7}:{(203,1),(207,1),(266,1),(272,1),(276,1),(314,1)}
       242:{1,3,4,6,7}:{(203,1),(204,1),(208,1),(222,1),(267,1),(272,1),(273,1),(277,1),(303,1),(305,1),(309,1),(314,1)}
       243:{2,3,5,7}:{(204,1),(205,1),(209,1),(223,1),(268,1),(273,1),(274,1)}
       244:{3,5,6}:{(205,1),(206,1),(269,1),(310,1)}
       245:{2,4,6}:{(207,1),(208,1),(210,1),(275,1)}
       246:{1,3,5}:{(208,1),(209,1),(271,1),(275,1),(306,1)}
       247:{1,3,7}:{(211,1),(212,1),(213,1),(276,1)}
       248:{2,3,4,7}:{(212,1),(214,1),(218,1),(277,1),(278,1),(284,1),(303,1)}
       249:{2,3,6}:{(213,1),(215,1),(276,1),(279,1)}
       250:{1,3,4,6}:{(213,1),(214,1),(216,1),(220,1),(277,1),(279,1),(280,1),(309,1)}
       251:{2,3,5}:{(214,1),(221,1),(280,1),(287,1),(306,1)}
       252:{2,4}:{(215,1),(216,1)}
       253:{1,4,7}:{(217,1),(218,1),(220,1)}
       254:{2,4,5,7}:{(218,1),(219,1),(221,1),(223,1),(278,1),(281,1),(282,1),(308,1)}
       255:{1,3,4,6}:{(219,1),(224,1),(228,1),(269,1),(282,1),(286,1),(305,1),(309,1),(310,1),(314,1)}
       256:{1,4,5}:{(220,1),(221,1),(280,1)}
       257:{1,5,7}:{(222,1),(223,1),(283,1)}
       258:{2,5,6}:{(223,1),(224,1),(282,1),(283,1)}
       259:{2,4,7}:{(225,1),(226,1),(229,1),(284,1)}
       260:{1,4,5,7}:{(226,1),(227,1),(230,1),(232,1),(285,1),(286,1)}
       261:{2,4,6}:{(227,1),(228,1),(233,1),(286,1)}
       262:{3,4,6}:{(229,1),(284,1),(287,1),(310,1)}
       263:{2,4,5}:{(229,1),(230,1),(234,1),(287,1)}
       264:{2,5,7}:{(231,1),(232,1),(234,1),(288,1)}
       265:{1,3,5,6}:{(232,1),(233,1),(283,1),(286,1),(288,1),(309,1),(310,1)}
       266:{2,3,5,7}:{(235,1),(238,1),(241,1),(289,1),(294,1),(311,1)}
       267:{1,4,7}:{(235,1),(236,1),(239,1),(289,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(240,1),(243,1),(290,1),(291,1)}
       269:{3,4,6}:{(237,1),(244,1),(291,1)}
       270:{2,4,6}:{(238,1),(239,1),(289,1),(292,1),(293,1)}
       271:{1,4,5}:{(239,1),(240,1),(246,1),(293,1)}
       272:{2,4,6,7}:{(241,1),(242,1),(245,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       273:{1,3,5,7}:{(242,1),(243,1),(246,1),(257,1),(290,1),(294,1),(295,1),(311,1)}
       274:{2,3,5,6}:{(243,1),(244,1),(258,1),(291,1),(295,1),(298,1)}
       275:{2,5}:{(245,1),(246,1)}
       276:{2,3,7}:{(247,1),(249,1),(296,1)}
       277:{1,3,4,7}:{(247,1),(248,1),(250,1),(253,1),(296,1),(297,1)}
       278:{2,3,5,7}:{(248,1),(251,1),(254,1),(297,1),(298,1),(301,1),(311,1)}
       279:{2,4,6}:{(249,1),(250,1),(252,1),(296,1),(299,1),(313,1)}
       280:{1,3,5}:{(250,1),(251,1),(256,1),(299,1)}
       281:{1,4,5,7}:{(253,1),(254,1),(256,1),(257,1),(297,1),(300,1)}
       282:{2,4,6}:{(254,1),(255,1),(258,1),(298,1),(300,1),(313,1)}
       283:{1,5,6}:{(257,1),(258,1),(300,1)}
       284:{3,4,7}:{(259,1),(262,1),(301,1)}
       285:{2,4,5,7}:{(259,1),(260,1),(263,1),(264,1),(301,1),(302,1)}
       286:{1,4,6}:{(260,1),(261,1),(265,1),(302,1)}
       287:{3,5}:{(262,1),(263,1)}
       288:{2,5,6}:{(264,1),(265,1),(302,1),(313,1)}
       289:{2,4,7}:{(266,1),(267,1),(270,1),(303,1)}
       290:{1,4,5,7}:{(267,1),(268,1),(271,1),(273,1),(304,1),(305,1)}
       291:{2,4,6}:{(268,1),(269,1),(274,1),(305,1)}
       292:{3,4,6}:{(270,1),(303,1),(306,1),(314,1)}
       293:{2,4,5}:{(270,1),(271,1),(275,1),(306,1)}
       294:{2,5,7}:{(272,1),(273,1),(275,1),(307,1)}
       295:{1,3,5,6}:{(273,1),(274,1),(283,1),(305,1),(307,1),(309,1),(314,1)}
       296:{2,4,7}:{(276,1),(277,1),(279,1),(308,1)}
       297:{1,3,5,7}:{(277,1),(278,1),(280,1),(281,1),(308,1),(309,1)}
       298:{2,3,6}:{(278,1),(282,1),(309,1),(310,1),(314,1)}
       299:{2,5}:{(279,1),(280,1)}
       300:{1,4,6}:{(281,1),(282,1),(283,1),(309,1)}
       301:{3,5,7}:{(284,1),(285,1),(287,1),(310,1)}
       302:{2,4,6}:{(285,1),(286,1),(288,1),(310,1)}
       303:{3,4,7}:{(289,1),(292,1),(311,1)}
       304:{2,4,5,7}:{(289,1),(290,1),(293,1),(294,1),(311,1),(312,1)}
       305:{1,4,6}:{(290,1),(291,1),(295,1),(312,1)}
       306:{3,5}:{(292,1),(293,1)}
       307:{2,5,6}:{(294,1),(295,1),(312,1),(313,1)}
       308:{2,5,7}:{(296,1),(297,1),(299,1),(313,1)}
       309:{1,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(306,1),(314,1)}
       312:{2,4,6}:{(304,1),(305,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

1946 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(29,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(26,1),(46,1),(51,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(16,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(14,1),(15,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(15,1),(16,1),(37,1),(61,1),(65,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(32,1),(39,1),(42,1),(56,1),(58,1),(64,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(13,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(28,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,4,5}:{(8,1),(25,1),(26,1),(51,1),(92,1)}
        14:{2,6,7}:{(5,1),(27,1),(70,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(27,1),(28,1),(47,1),(52,1),(73,1),(76,1)}
        16:{2,4,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{2,5,6}:{(7,1),(27,1),(30,1),(51,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(25,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(26,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(14,1),(34,1),(35,1),(40,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(13,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{1,4,5}:{(13,1),(18,1),(38,1),(39,1),(64,1),(78,1),(84,1),(104,1)}
        26:{3,5}:{(13,1),(19,1),(97,1)}
        27:{2,5,7}:{(14,1),(15,1),(17,1),(40,1),(86,1)}
        28:{1,4,7}:{(15,1),(16,1),(18,1),(40,1),(59,1)}
        29:{3,4,7}:{(16,1),(19,1),(37,1),(104,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(62,1),(67,1),(79,1),(84,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(52,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(26,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,5}:{(25,1),(30,1),(50,1),(51,1),(74,1)}
        39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(51,1),(87,1),(98,1),(103,1)}
        40:{2,4,7}:{(27,1),(28,1),(30,1),(52,1)}
        41:{1,3,4,7}:{(28,1),(29,1),(31,1),(49,1),(52,1),(53,1),(71,1),(76,1),(90,1),(100,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(74,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,5}:{(38,1),(42,1),(62,1)}
        51:{2,5}:{(39,1),(43,1),(64,1)}
        52:{3,7}:{(40,1),(42,1)}
        53:{2,4,7}:{(41,1),(43,1),(61,1),(65,1),(66,1),(86,1)}
        54:{2,3,6}:{(42,1),(43,1),(63,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(64,1),(66,1),(67,1),(81,1),(84,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{3,4}:{(50,1),(74,1)}
        63:{2,3,5}:{(50,1),(51,1),(54,1),(74,1),(75,1),(103,1)}
        64:{1,5}:{(51,1),(55,1)}
        65:{2,3,7}:{(52,1),(53,1),(54,1),(76,1),(100,1)}
        66:{1,4,7}:{(53,1),(55,1),(73,1),(76,1)}
        67:{1,3,6}:{(54,1),(55,1),(75,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(62,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(64,1),(66,1),(81,1)}
        74:{2,4}:{(62,1),(63,1),(84,1),(104,1)}
        75:{1,3,5}:{(63,1),(64,1),(67,1),(84,1),(85,1),(97,1)}
        76:{1,3,7}:{(65,1),(66,1),(67,1),(86,1)}
        77:{2,6}:{(67,1),(85,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(74,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(75,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{1,4}:{(74,1),(75,1),(92,1)}
        85:{2,5}:{(75,1),(77,1),(92,1)}
        86:{2,7}:{(76,1),(77,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(84,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(85,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(84,1),(85,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

1947 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(21,1),(108,1),(177,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(59,1),(95,1),(115,1),(161,1),(187,1),(227,1),(230,1),(237,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(8,1),(36,1),(37,1),(78,1),(146,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(141,1),(210,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(86,1),(151,1),(257,1),(259,1),(266,1)}
         5:{1,3,4,5,7}:{(1,1),(13,1),(14,1),(31,1),(41,1),(126,1),(131,1),(133,1),(149,1),(156,1),(157,1),(258,1)}
         6:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1),(54,1),(95,1),(96,1),(161,1),(176,1),(179,1)}
         7:{2,4,5,6,7}:{(2,1),(18,1),(20,1),(52,1),(57,1),(114,1)}
         8:{1,3,5,6,7}:{(2,1),(3,1),(18,1),(19,1),(20,1),(180,1)}
         9:{3,4,6,7}:{(3,1),(15,1),(21,1)}
        10:{2,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(22,1),(54,1)}
        11:{3,4,5,6}:{(15,1),(25,1),(186,1),(241,1)}
        12:{2,3,5,6}:{(4,1),(16,1),(25,1),(26,1),(241,1),(243,1)}
        13:{1,3,4,6}:{(4,1),(5,1),(26,1),(27,1),(63,1),(121,1),(123,1),(282,1)}
        14:{2,4,5,7}:{(5,1),(27,1),(28,1),(49,1),(102,1),(124,1),(160,1),(183,1)}
        15:{3,4,5,7}:{(9,1),(11,1),(30,1),(195,1),(210,1)}
        16:{2,3,5,7}:{(6,1),(12,1),(30,1),(31,1),(210,1),(213,1)}
        17:{1,3,4,6,7}:{(6,1),(13,1),(31,1),(32,1),(37,1),(71,1),(80,1),(83,1),(126,1),(131,1),(133,1),(212,1)}
        18:{3,5,6,7}:{(7,1),(33,1),(83,1),(147,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(33,1),(35,1),(37,1),(78,1),(80,1),(83,1),(141,1)}
        20:{2,5,6,7}:{(8,1),(35,1),(36,1),(213,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(30,1),(37,1)}
        22:{1,3,5,6,7}:{(10,1),(31,1),(36,1),(37,1),(38,1),(80,1),(83,1)}
        23:{1,3,4,5,6}:{(11,1),(29,1),(39,1),(42,1),(75,1),(88,1),(92,1),(137,1),(155,1),(204,1),(214,1)}
        24:{1,2,4,5,7}:{(14,1),(40,1),(41,1),(70,1),(87,1),(131,1),(152,1),(156,1),(193,1),(196,1),(215,1),(258,1),(297,1)}
        25:{2,4,5,6}:{(11,1),(12,1),(30,1),(42,1),(151,1)}
        26:{1,3,5,6}:{(12,1),(13,1),(31,1),(42,1),(43,1),(92,1),(270,1)}
        27:{2,4,6}:{(13,1),(14,1),(43,1),(44,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(44,1),(45,1),(94,1),(194,1),(216,1)}
        29:{1,3,4,5,7}:{(15,1),(19,1),(23,1),(46,1),(48,1),(51,1),(97,1),(101,1),(106,1),(165,1),(173,1),(180,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(21,1),(25,1),(48,1),(161,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(26,1),(48,1),(49,1),(101,1),(242,1)}
        32:{2,4,6,7}:{(17,1),(27,1),(49,1),(50,1),(102,1),(110,1),(160,1)}
        33:{3,4,6,7}:{(18,1),(51,1),(52,1)}
        34:{2,3,5,6,7}:{(18,1),(20,1),(52,1),(53,1),(54,1),(105,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(46,1),(54,1),(55,1),(110,1)}
        36:{1,5,6,7}:{(20,1),(55,1),(242,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(48,1),(57,1)}
        38:{2,5,6,7}:{(22,1),(49,1),(57,1),(110,1)}
        39:{2,4,5,6}:{(23,1),(46,1),(60,1),(61,1),(119,1),(189,1),(243,1)}
        40:{1,2,4,6}:{(24,1),(27,1),(62,1),(63,1),(118,1),(121,1),(228,1),(282,1),(307,1)}
        41:{1,3,5,7}:{(24,1),(28,1),(59,1),(63,1),(64,1),(122,1),(225,1),(227,1),(244,1)}
        42:{1,4,5,6}:{(25,1),(26,1),(48,1),(65,1),(121,1)}
        43:{2,5,6}:{(26,1),(27,1),(49,1)}
        44:{2,3,6}:{(27,1),(28,1),(63,1)}
        45:{2,3,4,7}:{(28,1),(64,1),(67,1),(102,1),(245,1)}
        46:{2,4,5,7}:{(29,1),(35,1),(39,1),(68,1),(69,1),(129,1),(199,1),(213,1)}
        47:{1,2,4,6,7}:{(32,1),(40,1),(70,1),(71,1),(128,1),(131,1),(143,1),(193,1),(212,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(37,1),(42,1),(72,1),(131,1)}
        49:{2,5,7}:{(31,1),(32,1),(43,1)}
        50:{2,3,6,7}:{(32,1),(44,1),(71,1),(73,1),(83,1),(194,1)}
        51:{3,4,5,7}:{(33,1),(75,1),(76,1),(147,1),(301,1)}
        52:{2,4,6,7}:{(33,1),(34,1),(76,1),(78,1)}
        53:{1,3,5,6,7}:{(34,1),(36,1),(78,1),(79,1),(80,1),(138,1),(141,1)}
        54:{2,3,6,7}:{(35,1),(68,1),(80,1),(83,1),(141,1)}
        55:{1,4,6,7}:{(35,1),(36,1),(69,1),(80,1)}
        56:{1,2,5,6,7}:{(36,1),(38,1),(70,1),(79,1),(81,1),(82,1),(143,1),(197,1),(205,1),(213,1),(270,1),(304,1)}
        57:{2,4,6,7}:{(37,1),(38,1),(72,1),(83,1)}
        58:{2,3,5,6,7}:{(38,1),(73,1),(82,1),(83,1),(84,1),(135,1),(144,1),(147,1),(213,1),(263,1),(304,1),(314,1)}
        59:{2,3,5,7}:{(41,1),(86,1),(87,1),(152,1),(254,1),(271,1),(297,1)}
        60:{2,3,5,6}:{(39,1),(68,1),(85,1),(88,1),(92,1),(204,1)}
        61:{1,4,5,6}:{(39,1),(69,1),(88,1),(220,1),(270,1)}
        62:{1,2,5,6}:{(40,1),(43,1),(70,1),(90,1),(152,1),(197,1),(270,1)}
        63:{1,3,6}:{(40,1),(41,1),(44,1),(86,1),(257,1)}
        64:{1,3,4,7}:{(41,1),(45,1),(87,1),(91,1),(131,1),(195,1),(272,1)}
        65:{2,4,5,6}:{(42,1),(43,1),(72,1),(92,1),(93,1)}
        66:{2,3,5,6}:{(43,1),(44,1),(73,1),(90,1),(92,1),(93,1),(94,1)}
        67:{2,3,4,6}:{(44,1),(45,1),(91,1),(93,1),(94,1)}
        68:{2,3,5,7}:{(46,1),(54,1),(60,1),(95,1),(97,1),(101,1),(173,1)}
        69:{1,4,5,7}:{(46,1),(55,1),(61,1),(97,1),(229,1),(242,1)}
        70:{1,2,5,7}:{(47,1),(49,1),(62,1),(99,1),(162,1),(242,1)}
        71:{1,3,6,7}:{(47,1),(50,1),(63,1),(96,1),(99,1),(225,1)}
        72:{2,4,5,7}:{(48,1),(49,1),(57,1),(65,1),(101,1),(102,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(66,1),(99,1),(101,1),(102,1)}
        74:{2,3,4,6,7}:{(50,1),(67,1),(100,1),(102,1),(103,1),(113,1),(169,1),(179,1),(226,1),(281,1)}
        75:{3,4,5,6}:{(51,1),(104,1),(182,1),(308,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(104,1),(105,1),(106,1),(286,1)}
        77:{2,3,4,6,7}:{(52,1),(54,1),(95,1),(105,1),(107,1),(113,1),(158,1),(179,1),(238,1),(286,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(106,1),(108,1)}
        79:{2,5,6,7}:{(53,1),(108,1),(110,1),(172,1)}
        80:{1,3,6,7}:{(54,1),(55,1),(97,1),(110,1)}
        81:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(98,1),(108,1),(110,1),(111,1),(112,1),(179,1),(228,1),(282,1),(307,1),(311,1)}
        82:{1,3,5,6,7}:{(56,1),(58,1),(99,1),(109,1),(111,1),(112,1),(167,1),(178,1),(180,1),(235,1),(242,1),(290,1)}
        83:{3,6,7}:{(57,1),(101,1)}
        84:{2,4,6,7}:{(58,1),(102,1),(112,1),(113,1),(114,1),(169,1),(286,1),(311,1)}
        85:{2,3,4,6}:{(60,1),(95,1),(115,1),(116,1),(123,1),(189,1),(234,1),(246,1)}
        86:{2,3,6}:{(59,1),(63,1),(118,1),(307,1)}
        87:{2,4,7}:{(59,1),(64,1),(118,1),(291,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(97,1),(116,1),(119,1)}
        89:{1,2,4,5,6}:{(61,1),(62,1),(65,1),(98,1),(119,1),(120,1),(121,1),(171,1),(181,1),(184,1),(187,1),(189,1),(228,1),(232,1),(243,1),(249,1),(282,1),(284,1),(292,1),(307,1),(309,1),(311,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(66,1),(99,1),(117,1),(121,1),(122,1)}
        91:{1,3,4,6}:{(63,1),(64,1),(67,1),(118,1),(121,1),(122,1),(186,1)}
        92:{3,5,6}:{(65,1),(101,1),(123,1)}
        93:{2,4,6}:{(66,1),(102,1),(121,1),(123,1),(124,1)}
        94:{2,3,5}:{(67,1),(122,1),(124,1)}
        95:{2,3,4,7}:{(68,1),(85,1),(126,1),(133,1),(199,1),(207,1),(254,1)}
        96:{2,3,6,7}:{(71,1),(86,1),(127,1),(128,1),(254,1),(257,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(80,1),(88,1),(126,1),(129,1)}
        98:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(81,1),(89,1),(129,1),(130,1),(131,1),(139,1),(146,1),(193,1),(196,1),(199,1),(205,1),(213,1),(258,1),(264,1),(297,1),(302,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(90,1),(127,1),(131,1)}
       100:{1,3,4,6,7}:{(71,1),(74,1),(91,1),(128,1),(131,1),(132,1),(195,1),(201,1),(212,1),(255,1),(257,1),(298,1)}
       101:{3,5,7}:{(72,1),(83,1),(92,1),(133,1)}
       102:{2,4,7}:{(73,1),(93,1),(131,1),(133,1)}
       103:{2,3,5,7}:{(74,1),(94,1),(132,1),(134,1),(135,1),(147,1),(213,1)}
       104:{2,4,5,6}:{(75,1),(76,1),(136,1),(137,1),(299,1)}
       105:{2,3,5,7}:{(76,1),(77,1),(136,1),(138,1),(147,1),(213,1)}
       106:{1,4,5,7}:{(76,1),(78,1),(137,1),(138,1),(139,1),(264,1)}
       107:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(126,1),(138,1),(140,1),(141,1),(191,1),(207,1),(208,1),(212,1),(264,1)}
       108:{2,4,6,7}:{(78,1),(79,1),(139,1),(141,1)}
       109:{2,3,5,6,7}:{(79,1),(82,1),(127,1),(141,1),(142,1),(144,1),(197,1),(206,1),(210,1),(213,1),(257,1),(269,1)}
       110:{2,6,7}:{(80,1),(129,1)}
       111:{1,3,6,7}:{(81,1),(83,1),(130,1),(141,1),(144,1),(257,1),(298,1),(314,1)}
       112:{1,4,6,7}:{(82,1),(84,1),(131,1),(142,1),(146,1),(201,1),(264,1),(303,1)}
       113:{3,4,6,7}:{(83,1),(84,1),(133,1),(147,1),(202,1),(301,1),(314,1)}
       114:{2,4,5,7}:{(84,1),(146,1),(147,1),(148,1),(213,1)}
       115:{2,3,4,5}:{(85,1),(149,1),(157,1),(221,1),(262,1),(271,1)}
       116:{1,3,4,6}:{(85,1),(88,1),(126,1),(149,1),(150,1),(217,1),(220,1)}
       117:{2,3,5,6}:{(86,1),(90,1),(127,1),(151,1),(152,1),(197,1),(219,1),(257,1)}
       118:{2,4,6}:{(86,1),(87,1),(91,1),(152,1)}
       119:{2,5,6}:{(88,1),(129,1),(150,1)}
       120:{1,3,5,6}:{(89,1),(92,1),(130,1),(154,1),(155,1),(204,1),(217,1),(219,1),(257,1),(274,1),(298,1),(313,1),(314,1)}
       121:{1,4,6}:{(90,1),(93,1),(131,1),(151,1),(156,1)}
       122:{1,3,5}:{(91,1),(94,1),(152,1),(156,1),(219,1)}
       123:{3,4,6}:{(92,1),(93,1),(133,1),(157,1)}
       124:{2,4,5}:{(93,1),(94,1),(156,1),(157,1)}
       125:{2,3,4,5,7}:{(95,1),(105,1),(115,1),(158,1),(159,1),(168,1),(230,1),(277,1),(286,1),(309,1),(310,1)}
       126:{1,3,4,7}:{(95,1),(97,1),(116,1),(160,1),(225,1),(229,1)}
       127:{2,3,5,7}:{(96,1),(99,1),(117,1),(161,1),(162,1),(227,1)}
       128:{2,4,6,7}:{(96,1),(100,1),(118,1),(161,1),(162,1),(228,1),(279,1),(307,1)}
       129:{2,5,7}:{(97,1),(110,1),(119,1),(160,1)}
       130:{1,3,5,7}:{(98,1),(101,1),(111,1),(120,1),(164,1),(165,1),(173,1),(225,1),(227,1),(310,1)}
       131:{1,4,7}:{(99,1),(102,1),(121,1),(161,1)}
       132:{1,3,5,7}:{(100,1),(103,1),(122,1),(162,1),(166,1),(167,1),(227,1),(242,1)}
       133:{3,4,7}:{(101,1),(102,1),(123,1)}
       134:{2,4,5,7}:{(102,1),(103,1),(124,1),(166,1),(168,1),(169,1)}
       135:{2,3,5,6}:{(103,1),(167,1),(169,1),(182,1),(243,1),(281,1)}
       136:{2,3,5,6}:{(104,1),(105,1),(158,1),(170,1),(182,1),(243,1)}
       137:{1,4,5,6}:{(104,1),(106,1),(170,1),(171,1),(284,1)}
       138:{1,3,5,7}:{(105,1),(106,1),(107,1),(170,1),(172,1),(173,1),(242,1)}
       139:{2,4,5,7}:{(106,1),(108,1),(171,1),(172,1),(173,1),(236,1)}
       140:{2,4,6,7}:{(107,1),(110,1),(160,1),(172,1),(175,1),(222,1),(236,1)}
       141:{3,6,7}:{(108,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(112,1),(161,1),(176,1),(177,1),(228,1),(236,1),(288,1)}
       143:{1,2,6,7}:{(110,1),(163,1),(178,1),(307,1)}
       144:{2,3,6,7}:{(110,1),(111,1),(164,1),(178,1),(179,1),(281,1),(307,1)}
       145:{1,3,4,6,7}:{(111,1),(112,1),(113,1),(165,1),(176,1),(179,1),(180,1),(231,1)}
       146:{1,4,5,7}:{(112,1),(114,1),(177,1),(180,1),(181,1),(242,1)}
       147:{3,5,7}:{(113,1),(114,1),(182,1)}
       148:{2,4,5,6}:{(114,1),(169,1),(181,1),(182,1),(243,1),(311,1)}
       149:{1,3,4,5}:{(115,1),(116,1),(183,1),(244,1),(249,1)}
       150:{2,4,6}:{(116,1),(119,1),(160,1),(183,1),(185,1)}
       151:{2,4,6}:{(117,1),(121,1),(161,1),(186,1),(187,1)}
       152:{2,5}:{(118,1),(122,1)}
       153:{1,2,5,6}:{(119,1),(163,1),(184,1),(188,1),(292,1),(307,1)}
       154:{2,3,5,6}:{(119,1),(120,1),(164,1),(185,1),(188,1),(189,1),(243,1),(246,1),(248,1),(281,1),(292,1),(307,1)}
       155:{1,3,4,6}:{(120,1),(121,1),(123,1),(165,1),(186,1),(189,1),(190,1),(234,1),(284,1),(308,1)}
       156:{1,4,5}:{(121,1),(122,1),(124,1),(187,1)}
       157:{3,4,5}:{(123,1),(124,1)}
       158:{2,3,4,6}:{(125,1),(136,1),(191,1),(202,1),(259,1),(293,1),(299,1),(314,1)}
       159:{1,3,4,5,7}:{(125,1),(126,1),(138,1),(149,1),(191,1),(192,1),(207,1),(252,1),(258,1),(262,1),(264,1),(300,1)}
       160:{2,4,7}:{(126,1),(129,1),(150,1),(194,1)}
       161:{2,4,7}:{(127,1),(131,1),(151,1),(195,1)}
       162:{2,5,7}:{(128,1),(132,1),(152,1),(197,1)}
       163:{1,2,5,7}:{(129,1),(143,1),(153,1),(193,1),(198,1),(297,1)}
       164:{2,3,5,7}:{(129,1),(130,1),(144,1),(154,1),(194,1),(198,1),(199,1),(213,1),(254,1),(297,1)}
       165:{1,3,4,7}:{(130,1),(131,1),(133,1),(155,1),(195,1),(199,1),(207,1),(264,1),(301,1)}
       166:{1,4,5,7}:{(131,1),(132,1),(134,1),(156,1),(196,1),(201,1)}
       167:{1,3,5,6}:{(132,1),(135,1),(197,1),(201,1),(257,1),(270,1),(298,1)}
       168:{3,4,5,7}:{(133,1),(134,1),(147,1),(157,1),(202,1)}
       169:{2,4,6}:{(134,1),(135,1),(201,1),(202,1)}
       170:{1,3,5,6}:{(136,1),(137,1),(138,1),(191,1),(203,1),(204,1),(270,1)}
       171:{2,4,5,6}:{(137,1),(139,1),(203,1),(204,1),(261,1)}
       172:{2,5,7}:{(138,1),(140,1),(203,1)}
       173:{3,5,7}:{(139,1),(141,1),(204,1),(207,1)}
       174:{1,2,4,6,7}:{(140,1),(143,1),(193,1),(205,1),(208,1),(212,1),(250,1),(264,1),(267,1)}
       175:{2,3,6,7}:{(140,1),(141,1),(194,1),(206,1),(208,1),(251,1)}
       176:{3,4,6,7}:{(141,1),(142,1),(195,1),(207,1),(210,1),(257,1),(266,1)}
       177:{2,4,5,7}:{(142,1),(146,1),(210,1),(211,1),(213,1)}
       178:{1,3,6,7}:{(143,1),(144,1),(198,1),(212,1),(298,1)}
       179:{2,4,6,7}:{(144,1),(145,1),(199,1),(212,1),(213,1),(259,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(147,1),(210,1),(213,1),(214,1)}
       181:{1,4,5,6}:{(146,1),(148,1),(201,1),(211,1),(214,1),(270,1),(303,1)}
       182:{3,5,6}:{(147,1),(148,1),(202,1),(314,1)}
       183:{2,4,5}:{(149,1),(150,1),(216,1)}
       184:{1,2,4,6}:{(150,1),(153,1),(193,1),(215,1),(217,1),(220,1),(273,1)}
       185:{2,3,6}:{(150,1),(194,1),(216,1),(217,1)}
       186:{3,4,6}:{(151,1),(195,1),(219,1),(257,1)}
       187:{2,4,5}:{(151,1),(152,1),(156,1),(219,1)}
       188:{1,3,5,6}:{(153,1),(154,1),(198,1),(217,1),(220,1),(270,1),(274,1),(298,1)}
       189:{2,4,6}:{(154,1),(155,1),(199,1),(220,1),(221,1)}
       190:{1,3,4,5}:{(155,1),(156,1),(157,1),(219,1),(221,1),(262,1),(274,1),(300,1),(313,1)}
       191:{1,3,4,6}:{(158,1),(159,1),(170,1),(222,1),(234,1),(275,1),(282,1),(284,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(172,1),(183,1),(222,1),(224,1),(236,1),(285,1)}
       193:{1,2,4,7}:{(160,1),(163,1),(184,1),(225,1),(229,1),(279,1)}
       194:{2,3,7}:{(160,1),(185,1),(225,1)}
       195:{3,4,7}:{(161,1),(186,1),(227,1)}
       196:{2,4,5,7}:{(161,1),(162,1),(166,1),(187,1),(227,1),(228,1)}
       197:{2,5,6}:{(162,1),(167,1),(228,1),(307,1)}
       198:{1,3,5,7}:{(163,1),(164,1),(178,1),(188,1),(225,1),(229,1),(242,1)}
       199:{2,4,7}:{(164,1),(165,1),(189,1),(229,1)}
       200:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(180,1),(190,1),(227,1),(230,1),(231,1),(237,1),(280,1),(287,1),(310,1)}
       201:{1,4,6}:{(166,1),(167,1),(169,1),(228,1)}
       202:{3,4,6}:{(168,1),(169,1),(182,1)}
       203:{2,5,6}:{(170,1),(172,1),(222,1)}
       204:{3,5,6}:{(171,1),(173,1),(234,1)}
       205:{1,2,5,7}:{(172,1),(174,1),(232,1),(235,1),(242,1),(289,1)}
       206:{2,3,5,7}:{(172,1),(173,1),(175,1),(233,1),(235,1),(236,1)}
       207:{3,4,7}:{(173,1),(234,1),(236,1)}
       208:{1,3,6,7}:{(174,1),(175,1),(225,1),(235,1),(238,1),(275,1)}
       209:{2,3,4,6,7}:{(175,1),(176,1),(179,1),(226,1),(236,1),(239,1),(240,1),(276,1),(281,1),(288,1)}
       210:{3,5,7}:{(176,1),(177,1),(241,1)}
       211:{2,4,5,6}:{(177,1),(181,1),(228,1),(241,1),(243,1),(288,1)}
       212:{1,4,6,7}:{(178,1),(179,1),(229,1),(242,1),(282,1)}
       213:{2,5,7}:{(179,1),(180,1),(242,1),(243,1)}
       214:{1,3,5,6}:{(180,1),(181,1),(182,1),(231,1),(241,1),(243,1)}
       215:{1,2,4,5}:{(183,1),(184,1),(244,1),(249,1),(291,1),(292,1)}
       216:{2,3,5}:{(183,1),(185,1),(244,1),(245,1)}
       217:{1,3,6}:{(184,1),(185,1),(225,1),(244,1),(246,1)}
       218:{2,3,4,6}:{(185,1),(186,1),(189,1),(226,1),(245,1),(247,1),(248,1),(281,1),(308,1)}
       219:{3,5}:{(186,1),(187,1)}
       220:{1,4,6}:{(188,1),(189,1),(229,1),(249,1)}
       221:{2,4,5}:{(189,1),(190,1),(248,1),(249,1),(292,1)}
       222:{2,4,6}:{(191,1),(192,1),(203,1),(251,1)}
       223:{1,2,4,5,7}:{(192,1),(193,1),(205,1),(215,1),(250,1),(252,1),(258,1),(264,1),(296,1),(297,1),(300,1),(302,1),(312,1)}
       224:{2,3,5,7}:{(192,1),(194,1),(216,1),(251,1),(252,1),(253,1),(295,1)}
       225:{1,3,7}:{(193,1),(194,1),(217,1),(254,1)}
       226:{2,3,4,7}:{(194,1),(195,1),(199,1),(218,1),(255,1),(256,1),(301,1)}
       227:{3,5,7}:{(195,1),(196,1),(219,1),(257,1)}
       228:{2,4,6}:{(196,1),(197,1),(201,1),(257,1)}
       229:{1,4,7}:{(198,1),(199,1),(220,1)}
       230:{2,4,5,7}:{(199,1),(200,1),(213,1),(221,1),(256,1),(258,1),(259,1),(297,1)}
       231:{1,3,4,6}:{(200,1),(201,1),(202,1),(214,1),(257,1),(259,1),(266,1),(298,1),(303,1),(314,1)}
       232:{1,2,5,6}:{(203,1),(205,1),(250,1),(260,1),(270,1),(304,1),(312,1)}
       233:{2,3,5,6}:{(203,1),(204,1),(206,1),(251,1),(260,1),(261,1),(295,1)}
       234:{3,4,6}:{(204,1),(207,1),(261,1),(262,1)}
       235:{1,3,5,7}:{(205,1),(206,1),(208,1),(260,1),(263,1),(264,1)}
       236:{2,4,7}:{(206,1),(207,1),(261,1),(264,1)}
       237:{3,4,5,7}:{(207,1),(210,1),(262,1),(265,1),(266,1)}
       238:{2,3,6,7}:{(208,1),(254,1),(263,1),(267,1),(293,1),(314,1)}
       239:{1,3,4,6,7}:{(208,1),(209,1),(212,1),(255,1),(264,1),(267,1),(268,1),(294,1),(298,1),(301,1),(303,1),(314,1)}
       240:{2,3,5,7}:{(209,1),(210,1),(213,1),(265,1),(268,1),(269,1),(295,1)}
       241:{3,5,6}:{(210,1),(211,1),(257,1),(266,1)}
       242:{1,5,7}:{(212,1),(213,1),(270,1)}
       243:{2,5,6}:{(213,1),(214,1),(259,1),(270,1)}
       244:{1,3,5}:{(215,1),(216,1),(217,1),(271,1),(272,1)}
       245:{2,3,4}:{(216,1),(272,1)}
       246:{2,3,6}:{(217,1),(254,1),(271,1),(273,1)}
       247:{1,3,4,6}:{(217,1),(218,1),(220,1),(255,1),(272,1),(273,1),(274,1),(298,1)}
       248:{2,3,5}:{(218,1),(219,1),(221,1),(274,1),(313,1)}
       249:{1,4,5}:{(220,1),(221,1),(274,1)}
       250:{1,2,4,6}:{(222,1),(223,1),(232,1),(275,1),(282,1),(284,1),(305,1),(307,1),(311,1)}
       251:{2,3,6}:{(222,1),(224,1),(275,1)}
       252:{1,3,5,7}:{(223,1),(224,1),(225,1),(244,1),(275,1),(277,1),(278,1),(306,1),(310,1)}
       253:{2,3,4,7}:{(224,1),(236,1),(245,1),(276,1),(278,1)}
       254:{2,3,7}:{(225,1),(246,1),(279,1)}
       255:{1,3,4,7}:{(225,1),(226,1),(229,1),(247,1),(279,1),(280,1)}
       256:{2,3,5,7}:{(226,1),(227,1),(230,1),(248,1),(280,1),(281,1),(310,1)}
       257:{3,6}:{(227,1),(228,1)}
       258:{1,4,5,7}:{(229,1),(230,1),(242,1),(249,1),(280,1),(282,1)}
       259:{2,4,6}:{(230,1),(231,1),(243,1),(281,1),(282,1),(307,1)}
       260:{1,3,5,6}:{(232,1),(233,1),(235,1),(275,1),(283,1),(284,1),(306,1)}
       261:{2,4,6}:{(233,1),(234,1),(236,1),(284,1),(285,1)}
       262:{3,4,5}:{(234,1),(285,1)}
       263:{2,3,5,7}:{(235,1),(238,1),(283,1),(286,1),(289,1),(310,1)}
       264:{1,4,7}:{(235,1),(236,1),(284,1),(286,1)}
       265:{2,4,5,7}:{(236,1),(237,1),(240,1),(285,1),(287,1),(288,1)}
       266:{3,4,6}:{(237,1),(241,1),(288,1)}
       267:{2,4,6,7}:{(238,1),(239,1),(279,1),(286,1),(289,1),(305,1),(307,1),(311,1)}
       268:{1,3,5,7}:{(239,1),(240,1),(242,1),(287,1),(289,1),(290,1),(306,1),(310,1)}
       269:{2,3,5,6}:{(240,1),(241,1),(243,1),(281,1),(288,1),(290,1)}
       270:{1,5,6}:{(242,1),(243,1),(282,1)}
       271:{2,3,5}:{(244,1),(246,1),(291,1),(292,1)}
       272:{1,3,4}:{(244,1),(245,1),(291,1)}
       273:{2,4,6}:{(246,1),(247,1),(279,1),(291,1),(292,1),(307,1)}
       274:{1,3,5}:{(247,1),(248,1),(249,1),(292,1)}
       275:{1,3,6}:{(250,1),(251,1),(252,1),(293,1),(314,1)}
       276:{2,3,4,6}:{(251,1),(253,1),(261,1),(294,1),(295,1)}
       277:{2,3,5,7}:{(252,1),(254,1),(271,1),(293,1),(296,1),(297,1),(312,1)}
       278:{1,3,4,7}:{(252,1),(253,1),(264,1),(272,1),(294,1),(296,1),(301,1)}
       279:{2,4,7}:{(254,1),(255,1),(273,1),(297,1)}
       280:{1,3,5,7}:{(255,1),(256,1),(258,1),(274,1),(297,1),(298,1)}
       281:{2,3,6}:{(256,1),(257,1),(259,1),(298,1),(314,1)}
       282:{1,4,6}:{(258,1),(259,1),(270,1),(298,1)}
       283:{2,3,5,6}:{(260,1),(263,1),(293,1),(299,1),(304,1),(312,1),(313,1),(314,1)}
       284:{1,4,6}:{(260,1),(261,1),(264,1),(299,1),(300,1)}
       285:{2,4,5}:{(261,1),(262,1),(295,1),(300,1)}
       286:{2,4,7}:{(263,1),(264,1),(299,1),(301,1)}
       287:{1,4,5,7}:{(264,1),(265,1),(268,1),(300,1),(302,1),(303,1)}
       288:{2,4,6}:{(265,1),(266,1),(269,1),(303,1)}
       289:{2,5,7}:{(267,1),(268,1),(304,1),(312,1)}
       290:{1,3,5,6}:{(268,1),(269,1),(270,1),(298,1),(303,1),(304,1),(314,1)}
       291:{2,4}:{(271,1),(272,1)}
       292:{2,5}:{(273,1),(274,1)}
       293:{2,3,6}:{(275,1),(277,1),(305,1),(307,1)}
       294:{1,3,4,6}:{(275,1),(276,1),(278,1),(284,1),(305,1),(306,1),(308,1)}
       295:{2,3,5}:{(276,1),(285,1),(306,1)}
       296:{2,4,7}:{(277,1),(278,1),(291,1),(305,1)}
       297:{2,5,7}:{(279,1),(280,1),(292,1),(307,1)}
       298:{1,3,6}:{(280,1),(281,1),(282,1),(307,1)}
       299:{2,4,6}:{(283,1),(284,1),(286,1),(308,1),(309,1)}
       300:{1,4,5}:{(284,1),(285,1),(306,1),(309,1)}
       301:{3,4,7}:{(286,1),(308,1),(310,1)}
       302:{2,4,5,7}:{(286,1),(287,1),(289,1),(309,1),(310,1),(311,1)}
       303:{1,4,6}:{(287,1),(288,1),(290,1),(311,1)}
       304:{2,5,6}:{(289,1),(290,1),(307,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(296,1),(312,1)}
       306:{1,3,5}:{(294,1),(295,1),(300,1),(312,1),(313,1)}
       307:{2,6}:{(297,1),(298,1)}
       308:{3,4,6}:{(299,1),(301,1),(313,1),(314,1)}
       309:{2,4,5}:{(299,1),(300,1),(312,1),(313,1)}
       310:{3,5,7}:{(301,1),(302,1),(313,1),(314,1)}
       311:{2,4,6}:{(302,1),(303,1),(304,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

1948 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

1949 :   0:{1,2,3,6,7}:{(1,1),(2,1),(36,1),(76,1),(84,1),(144,1),(209,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(7,1),(21,1),(60,1),(99,1),(109,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(105,1),(246,1),(314,1),(322,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(55,1),(62,1),(99,1),(237,1),(240,1),(307,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(36,1),(40,1),(79,1),(133,1),(209,1),(213,1),(282,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(11,1),(132,1),(221,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(36,1),(38,1),(78,1),(144,1),(212,1),(221,1),(284,1),(293,1),(296,1)}
         7:{1,2,4,7}:{(2,1),(13,1),(14,1),(138,1),(282,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(86,1),(132,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(55,1),(93,1),(99,1),(191,1),(194,1),(265,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1),(169,1),(251,1)}
        11:{1,2,5,6}:{(5,1),(18,1),(21,1),(101,1),(109,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(51,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1),(107,1),(250,1),(329,1)}
        14:{1,3,4,7}:{(7,1),(22,1),(24,1),(25,1),(322,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(55,1),(63,1),(101,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(307,1),(310,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(124,1),(132,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(15,1),(29,1),(32,1),(36,1),(79,1),(135,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(282,1),(287,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(132,1),(140,1),(205,1),(208,1),(226,1),(270,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(36,1),(73,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1)}
        23:{1,2,4,5}:{(13,1),(38,1),(81,1),(221,1),(287,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(293,1),(297,1)}
        25:{2,3,4,7}:{(14,1),(37,1),(39,1),(40,1),(138,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(41,1),(76,1),(86,1),(132,1),(270,1),(272,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(86,1),(336,1),(339,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(55,1),(94,1),(101,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(265,1),(268,1)}
        31:{1,3,5,6,7}:{(18,1),(20,1),(26,1),(45,1),(48,1),(53,1),(98,1),(106,1),(169,1),(246,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(22,1),(28,1),(47,1),(50,1),(51,1),(57,1),(98,1),(104,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(48,1),(52,1),(53,1),(99,1),(242,1),(262,1),(304,1),(311,1)}
        35:{1,2,4,5,6}:{(21,1),(23,1),(49,1),(52,1),(54,1),(101,1),(107,1),(172,1),(173,1),(192,1),(238,1),(248,1),(250,1),(256,1)}
        36:{1,3,6}:{(21,1),(22,1),(55,1)}
        37:{2,3,5,7}:{(22,1),(25,1),(51,1),(55,1),(56,1),(58,1)}
        38:{1,3,5}:{(23,1),(24,1),(58,1)}
        39:{2,3,4,6}:{(24,1),(25,1),(55,1),(58,1),(59,1),(107,1),(257,1),(261,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(177,1),(253,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(48,1),(61,1),(62,1),(307,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(61,1),(63,1),(101,1)}
        43:{3,4,6}:{(27,1),(28,1),(63,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(111,1),(117,1),(165,1),(176,1),(307,1),(310,1),(361,1),(368,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(66,1),(76,1),(124,1),(132,1),(226,1),(228,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(124,1),(300,1),(303,1)}
        48:{1,4,6,7}:{(31,1),(32,1),(41,1),(66,1),(70,1),(282,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(67,1),(70,1),(72,1),(135,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(36,1),(43,1),(68,1),(72,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(73,1),(74,1),(81,1),(132,1),(138,1)}
        52:{1,2,4,5,7}:{(34,1),(35,1),(70,1),(75,1),(132,1),(138,1),(207,1),(208,1),(227,1),(271,1),(280,1),(282,1),(288,1)}
        53:{1,3,6,7}:{(34,1),(36,1),(75,1),(76,1),(298,1),(334,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(38,1),(75,1),(77,1),(78,1),(230,1),(274,1),(293,1)}
        55:{2,3,6}:{(36,1),(37,1),(73,1),(79,1)}
        56:{1,3,5,7}:{(37,1),(40,1),(74,1),(79,1),(80,1),(82,1)}
        57:{1,3,4,5}:{(38,1),(77,1),(81,1),(287,1),(303,1),(339,1)}
        58:{2,3,5}:{(38,1),(39,1),(81,1),(82,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(82,1),(83,1),(142,1),(219,1),(224,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(86,1),(132,1)}
        62:{3,4,6,7}:{(41,1),(43,1),(86,1),(334,1),(336,1)}
        63:{3,5,6}:{(42,1),(43,1),(86,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(89,1),(90,1),(202,1),(275,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(146,1),(152,1),(214,1),(282,1),(287,1),(300,1),(303,1),(382,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(48,1),(92,1),(93,1),(265,1)}
        67:{2,4,5,6}:{(46,1),(49,1),(92,1),(94,1),(101,1)}
        68:{3,4,6}:{(46,1),(47,1),(94,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(111,1),(122,1),(160,1),(176,1),(265,1),(268,1),(332,1),(368,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(98,1),(169,1)}
        71:{1,3,4,6,7}:{(48,1),(50,1),(53,1),(62,1),(93,1),(98,1),(99,1),(104,1)}
        72:{1,3,5,6}:{(49,1),(50,1),(63,1),(94,1),(98,1),(101,1)}
        73:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(56,1),(102,1),(112,1),(169,1),(177,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(104,1),(105,1),(264,1),(306,1),(322,1)}
        76:{2,3,6,7}:{(53,1),(55,1),(99,1),(105,1),(106,1),(311,1)}
        77:{1,3,4,6}:{(54,1),(57,1),(104,1),(107,1),(250,1),(267,1),(309,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(101,1),(105,1),(107,1),(108,1),(248,1),(257,1)}
        79:{1,3,6}:{(55,1),(56,1),(102,1),(109,1)}
        80:{1,2,5,7}:{(56,1),(60,1),(109,1),(113,1)}
        81:{2,4,5}:{(57,1),(58,1),(107,1),(112,1)}
        82:{1,3,5}:{(58,1),(59,1),(112,1),(113,1)}
        83:{1,2,4,6}:{(59,1),(60,1),(109,1),(113,1),(114,1),(186,1)}
        84:{1,2,3,7}:{(60,1),(114,1),(253,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,5,7}:{(61,1),(62,1),(63,1)}
        87:{2,3,4,6,7}:{(62,1),(64,1),(99,1),(117,1),(118,1),(176,1),(187,1),(237,1),(241,1),(307,1),(359,1),(364,1)}
        88:{3,4,5,6}:{(63,1),(116,1),(119,1),(309,1),(386,1)}
        89:{2,3,5,6}:{(63,1),(64,1),(101,1),(117,1),(119,1),(120,1),(386,1),(388,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(120,1),(121,1),(174,1),(250,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(184,1),(190,1),(252,1),(265,1),(268,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(132,1)}
        93:{3,4,6,7}:{(66,1),(68,1),(124,1),(298,1),(300,1)}
        94:{3,5,6}:{(67,1),(68,1),(124,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(127,1),(128,1),(156,1),(231,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(146,1),(198,1),(214,1),(282,1),(287,1),(336,1),(339,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,5,7}:{(70,1),(71,1),(72,1),(86,1),(124,1),(132,1)}
        99:{2,4,6,7}:{(71,1),(73,1),(76,1),(132,1),(133,1),(138,1)}
       100:{1,3,4,5,6}:{(72,1),(77,1),(88,1),(126,1),(131,1),(134,1),(154,1),(200,1),(210,1),(230,1),(274,1),(286,1),(381,1)}
       101:{2,5,6}:{(72,1),(73,1),(132,1),(135,1)}
       102:{1,4,6}:{(73,1),(74,1),(79,1),(135,1)}
       103:{1,2,4,5,7}:{(74,1),(80,1),(91,1),(129,1),(136,1),(137,1),(145,1),(147,1),(208,1),(215,1),(221,1),(222,1),(282,1),(287,1),(288,1),(382,1),(384,1)}
       104:{1,3,4,7}:{(75,1),(77,1),(138,1),(282,1),(300,1),(336,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(78,1),(132,1),(138,1),(139,1),(280,1),(289,1)}
       106:{1,3,6,7}:{(76,1),(79,1),(133,1),(139,1),(140,1)}
       107:{2,4,6}:{(77,1),(78,1),(81,1),(138,1),(142,1)}
       108:{1,3,5,6}:{(78,1),(79,1),(82,1),(135,1),(139,1),(142,1),(143,1),(219,1)}
       109:{1,2,6}:{(79,1),(80,1)}
       110:{1,2,3,5,7}:{(80,1),(84,1),(137,1),(144,1),(145,1),(148,1),(221,1),(296,1),(350,1),(384,1)}
       111:{2,3,4,5}:{(81,1),(141,1),(146,1),(223,1),(303,1),(339,1),(349,1)}
       112:{1,4,5}:{(81,1),(82,1),(142,1)}
       113:{1,2,5}:{(82,1),(83,1)}
       114:{1,2,3,6}:{(83,1),(84,1),(148,1),(219,1)}
       115:{3,5,6,7}:{(85,1),(86,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(88,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(89,1),(132,1),(151,1),(152,1),(376,1),(380,1)}
       118:{1,3,4,6,7}:{(87,1),(90,1),(133,1),(152,1),(153,1),(209,1),(214,1),(225,1),(277,1),(282,1),(298,1),(300,1),(379,1)}
       119:{2,4,5,6}:{(88,1),(89,1),(151,1),(154,1),(275,1)}
       120:{1,3,5,6}:{(89,1),(90,1),(135,1),(152,1),(154,1),(155,1),(230,1),(391,1)}
       121:{2,4,6}:{(90,1),(91,1),(155,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(223,1),(232,1),(289,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,5,7}:{(92,1),(93,1),(94,1)}
       125:{2,3,4,6,7}:{(93,1),(95,1),(99,1),(160,1),(161,1),(176,1),(191,1),(233,1),(241,1),(265,1),(330,1),(364,1)}
       126:{3,4,5,6}:{(94,1),(159,1),(162,1),(267,1),(375,1)}
       127:{2,3,5,6}:{(94,1),(95,1),(101,1),(160,1),(162,1),(163,1),(375,1),(388,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(163,1),(164,1),(174,1),(250,1),(309,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(184,1),(236,1),(252,1),(307,1),(310,1)}
       130:{1,3,5,6,7}:{(97,1),(98,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(100,1),(104,1),(116,1),(159,1),(166,1),(168,1),(189,1),(235,1),(244,1),(264,1),(306,1),(316,1),(365,1)}
       132:{2,5,7}:{(98,1),(99,1),(101,1),(169,1)}
       133:{1,4,6,7}:{(99,1),(102,1),(106,1),(169,1),(177,1)}
       134:{2,4,5,6}:{(100,1),(101,1),(107,1),(168,1),(171,1),(172,1),(248,1),(320,1),(388,1)}
       135:{1,5,6}:{(101,1),(102,1),(169,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(109,1),(121,1),(164,1),(173,1),(174,1),(250,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(185,1),(251,1),(253,1),(260,1),(322,1)}
       138:{2,4,7}:{(104,1),(105,1),(107,1),(177,1)}
       139:{1,3,5,7}:{(105,1),(106,1),(108,1),(169,1),(177,1),(178,1),(253,1)}
       140:{1,2,6,7}:{(106,1),(109,1),(178,1),(311,1)}
       141:{2,3,4,6}:{(107,1),(111,1),(171,1),(176,1),(180,1),(257,1),(267,1),(309,1),(320,1)}
       142:{1,4,6}:{(107,1),(108,1),(112,1),(177,1)}
       143:{1,2,5,6}:{(108,1),(109,1),(113,1),(178,1),(181,1),(248,1)}
       144:{1,2,3,6}:{(109,1),(110,1),(174,1),(183,1),(390,1)}
       145:{1,2,4,7}:{(110,1),(175,1),(183,1),(186,1),(329,1)}
       146:{1,3,4,5}:{(111,1),(112,1),(180,1),(184,1),(185,1),(260,1),(370,1)}
       147:{1,2,4,5}:{(112,1),(113,1),(181,1),(184,1),(185,1),(186,1)}
       148:{1,2,3,5}:{(113,1),(114,1),(185,1),(186,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(117,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(119,1),(187,1),(189,1),(307,1)}
       152:{1,3,5,7}:{(117,1),(118,1),(120,1),(169,1),(189,1),(190,1),(264,1),(387,1)}
       153:{2,4,6,7}:{(118,1),(121,1),(190,1),(191,1),(252,1),(265,1),(311,1)}
       154:{1,4,5,6}:{(119,1),(120,1),(189,1),(192,1),(250,1)}
       155:{2,5,6}:{(120,1),(121,1),(190,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(261,1),(265,1)}
       158:{3,5,6,7}:{(123,1),(124,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(126,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,3,5,7}:{(124,1),(125,1),(127,1),(132,1),(197,1),(198,1),(356,1),(380,1)}
       161:{1,3,4,6,7}:{(125,1),(128,1),(133,1),(198,1),(199,1),(209,1),(214,1),(269,1),(277,1),(282,1),(334,1),(336,1),(379,1)}
       162:{2,4,5,6}:{(126,1),(127,1),(197,1),(200,1),(231,1)}
       163:{1,3,5,6}:{(127,1),(128,1),(135,1),(198,1),(200,1),(201,1),(274,1),(391,1)}
       164:{2,4,6}:{(128,1),(129,1),(201,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(223,1),(276,1),(289,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(132,1),(204,1),(205,1),(380,1)}
       168:{2,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(204,1),(206,1),(207,1),(280,1),(345,1),(380,1)}
       169:{1,5,7}:{(132,1),(133,1),(135,1)}
       170:{1,2,4,6,7}:{(133,1),(136,1),(140,1),(153,1),(199,1),(208,1),(209,1),(215,1),(282,1),(288,1),(340,1),(379,1)}
       171:{2,3,5,6}:{(134,1),(141,1),(206,1),(210,1),(230,1),(274,1)}
       172:{1,4,5,6}:{(134,1),(135,1),(142,1),(207,1),(210,1),(348,1),(391,1)}
       173:{1,2,5,6}:{(135,1),(136,1),(155,1),(201,1),(208,1),(212,1),(221,1),(391,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(145,1),(157,1),(203,1),(213,1),(224,1),(282,1),(297,1)}
       176:{2,3,4,7}:{(138,1),(141,1),(206,1),(214,1),(289,1),(300,1),(336,1),(345,1)}
       177:{1,4,7}:{(138,1),(139,1),(142,1)}
       178:{1,2,5,7}:{(139,1),(140,1),(143,1),(215,1),(280,1)}
       179:{1,2,3,6,7}:{(140,1),(144,1),(209,1),(216,1),(217,1),(341,1),(350,1),(353,1)}
       180:{1,3,4,6}:{(141,1),(142,1),(146,1),(210,1),(214,1),(218,1),(219,1),(293,1),(348,1)}
       181:{1,2,4,6}:{(142,1),(143,1),(147,1),(215,1),(218,1),(219,1)}
       182:{1,2,3,5,6}:{(143,1),(144,1),(148,1),(212,1),(216,1),(219,1),(220,1),(221,1),(285,1),(292,1),(295,1),(353,1)}
       183:{1,2,4,6}:{(144,1),(145,1),(213,1),(221,1)}
       184:{2,4,5}:{(146,1),(218,1),(223,1)}
       185:{1,3,5}:{(147,1),(219,1),(223,1),(224,1)}
       186:{1,2,4}:{(148,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(152,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(154,1),(225,1),(227,1),(282,1)}
       190:{2,5,7}:{(152,1),(153,1),(155,1)}
       191:{2,3,6,7}:{(153,1),(156,1),(209,1),(228,1),(289,1),(298,1)}
       192:{2,4,5,6}:{(154,1),(155,1),(227,1),(230,1),(231,1)}
       193:{2,3,5,6}:{(155,1),(156,1),(212,1),(228,1),(230,1),(231,1),(232,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(231,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(160,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(162,1),(233,1),(235,1),(265,1)}
       198:{1,3,5,7}:{(160,1),(161,1),(163,1),(169,1),(235,1),(236,1),(306,1),(387,1)}
       199:{2,4,6,7}:{(161,1),(164,1),(236,1),(237,1),(252,1),(307,1),(311,1)}
       200:{1,4,5,6}:{(162,1),(163,1),(235,1),(238,1),(250,1)}
       201:{2,5,6}:{(163,1),(164,1),(236,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(261,1),(307,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(168,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(169,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(171,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,4,5,7}:{(168,1),(169,1),(172,1),(177,1),(242,1),(244,1),(367,1),(387,1)}
       208:{1,2,5,7}:{(169,1),(170,1),(173,1),(190,1),(236,1),(246,1),(387,1)}
       209:{1,3,6,7}:{(170,1),(174,1),(191,1),(237,1),(246,1),(253,1),(322,1)}
       210:{1,3,5,6}:{(171,1),(172,1),(180,1),(244,1),(248,1)}
       211:{1,2,4,5,6}:{(172,1),(173,1),(181,1),(192,1),(238,1),(245,1),(248,1),(249,1),(250,1),(259,1),(320,1),(325,1),(366,1),(388,1)}
       212:{1,3,5,6}:{(173,1),(174,1),(193,1),(239,1),(246,1),(250,1),(251,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(183,1),(194,1),(240,1),(250,1),(251,1)}
       214:{1,3,4,7}:{(176,1),(177,1),(180,1),(244,1),(252,1),(253,1),(322,1),(367,1)}
       215:{1,2,4,7}:{(177,1),(178,1),(181,1),(252,1),(253,1)}
       216:{1,2,3,5,7}:{(178,1),(179,1),(182,1),(246,1),(253,1),(254,1),(255,1),(315,1),(324,1)}
       217:{1,2,4,6,7}:{(179,1),(183,1),(247,1),(254,1),(255,1),(325,1),(364,1),(371,1),(390,1)}
       218:{2,4,6}:{(180,1),(184,1),(248,1),(252,1),(257,1)}
       219:{1,3,6}:{(181,1),(185,1),(253,1),(257,1)}
       220:{1,2,4,6}:{(182,1),(186,1),(250,1),(254,1),(258,1),(259,1),(320,1)}
       221:{1,2,5}:{(183,1),(251,1)}
       222:{1,2,4,5}:{(184,1),(256,1),(260,1),(329,1),(370,1),(374,1)}
       223:{2,3,5}:{(184,1),(185,1),(257,1),(260,1),(261,1)}
       224:{1,3,4}:{(185,1),(186,1),(261,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(190,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(192,1),(262,1),(264,1),(265,1)}
       228:{2,3,5,7}:{(190,1),(191,1),(193,1),(246,1),(264,1),(265,1)}
       229:{2,3,4,6,7}:{(191,1),(194,1),(247,1),(265,1),(266,1),(323,1),(330,1),(333,1),(364,1),(373,1)}
       230:{3,5,6}:{(192,1),(264,1),(267,1)}
       231:{2,4,6}:{(193,1),(250,1),(265,1),(267,1),(268,1)}
       232:{2,3,5}:{(194,1),(251,1),(268,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(198,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(200,1),(269,1),(271,1),(282,1)}
       236:{2,5,7}:{(198,1),(199,1),(201,1)}
       237:{2,3,6,7}:{(199,1),(202,1),(209,1),(272,1),(289,1),(334,1)}
       238:{2,4,5,6}:{(200,1),(201,1),(271,1),(274,1),(275,1)}
       239:{2,3,5,6}:{(201,1),(202,1),(212,1),(272,1),(274,1),(275,1),(276,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(275,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(207,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(208,1),(226,1),(270,1),(278,1),(279,1),(292,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(210,1),(214,1),(277,1),(280,1)}
       245:{1,2,4,5,7}:{(207,1),(208,1),(211,1),(215,1),(227,1),(271,1),(278,1),(280,1),(281,1),(282,1),(343,1),(345,1),(380,1)}
       246:{1,3,5,7}:{(208,1),(209,1),(212,1),(228,1),(272,1),(282,1)}
       247:{1,3,4,6,7}:{(209,1),(213,1),(217,1),(229,1),(273,1),(282,1),(283,1),(290,1),(347,1),(351,1),(353,1),(379,1),(385,1)}
       248:{2,5,6}:{(210,1),(218,1),(280,1)}
       249:{1,3,5,6}:{(211,1),(219,1),(230,1),(274,1),(281,1),(285,1),(286,1),(295,1),(353,1)}
       250:{1,4,6}:{(212,1),(231,1),(275,1),(282,1),(287,1)}
       251:{1,3,5}:{(213,1),(221,1),(232,1),(276,1),(287,1)}
       252:{2,4,7}:{(214,1),(218,1),(280,1),(289,1)}
       253:{1,3,7}:{(215,1),(219,1),(289,1)}
       254:{1,2,4,7}:{(216,1),(220,1),(282,1),(290,1),(345,1)}
       255:{1,2,5,7}:{(217,1),(221,1),(283,1),(292,1),(380,1)}
       256:{1,2,4,6}:{(218,1),(222,1),(284,1),(288,1),(293,1),(348,1)}
       257:{2,3,6}:{(218,1),(219,1),(223,1),(289,1),(293,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(224,1),(290,1),(294,1),(295,1),(353,1)}
       259:{1,2,4,5}:{(220,1),(221,1),(287,1),(295,1),(349,1)}
       260:{1,3,5}:{(222,1),(223,1),(293,1),(297,1)}
       261:{2,3,4}:{(223,1),(224,1),(297,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(228,1),(279,1),(298,1),(299,1),(302,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(230,1),(298,1),(300,1)}
       265:{2,4,7}:{(228,1),(231,1),(282,1),(300,1)}
       266:{2,3,5,7}:{(229,1),(232,1),(283,1),(301,1),(302,1),(356,1),(380,1)}
       267:{3,4,6}:{(230,1),(231,1),(300,1),(303,1)}
       268:{2,4,5}:{(231,1),(232,1),(287,1),(303,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(236,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(238,1),(304,1),(306,1),(307,1)}
       272:{2,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(306,1),(307,1)}
       273:{2,3,4,6,7}:{(237,1),(240,1),(247,1),(307,1),(308,1),(323,1),(359,1),(362,1),(364,1),(373,1)}
       274:{3,5,6}:{(238,1),(306,1),(309,1)}
       275:{2,4,6}:{(239,1),(250,1),(307,1),(309,1),(310,1)}
       276:{2,3,5}:{(240,1),(251,1),(310,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(245,1),(262,1),(304,1),(311,1),(312,1),(313,1),(325,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(246,1),(263,1),(305,1),(312,1),(313,1),(318,1),(363,1),(365,1),(387,1)}
       280:{2,5,7}:{(244,1),(248,1),(252,1),(311,1)}
       281:{1,3,5,7}:{(245,1),(249,1),(253,1),(264,1),(306,1),(312,1),(315,1),(316,1)}
       282:{1,4,7}:{(246,1),(250,1),(265,1),(307,1)}
       283:{1,3,5,7}:{(247,1),(251,1),(255,1),(266,1),(308,1),(317,1),(318,1),(387,1)}
       284:{1,2,5,6}:{(248,1),(256,1),(314,1),(319,1),(374,1),(390,1)}
       285:{2,3,5,6}:{(248,1),(249,1),(257,1),(315,1),(319,1),(320,1),(328,1),(373,1),(388,1)}
       286:{1,3,4,6}:{(249,1),(250,1),(267,1),(309,1),(316,1),(320,1),(321,1)}
       287:{1,4,5}:{(250,1),(251,1),(268,1),(310,1)}
       288:{1,2,4,7}:{(252,1),(256,1),(314,1),(322,1),(367,1)}
       289:{2,3,7}:{(252,1),(253,1),(257,1),(322,1)}
       290:{1,3,4,7}:{(253,1),(254,1),(258,1),(323,1),(324,1)}
       291:{1,2,4,5,7}:{(254,1),(255,1),(259,1),(317,1),(324,1),(325,1),(368,1)}
       292:{1,2,5,6}:{(255,1),(318,1),(325,1),(388,1),(390,1)}
       293:{1,3,6}:{(256,1),(257,1),(260,1),(322,1)}
       294:{2,3,4,6}:{(257,1),(258,1),(261,1),(320,1),(323,1),(327,1),(328,1),(373,1)}
       295:{1,3,5}:{(258,1),(259,1),(328,1)}
       296:{1,2,3,5}:{(260,1),(326,1),(329,1),(374,1)}
       297:{1,3,4}:{(260,1),(261,1),(329,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(265,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(267,1)}
       301:{2,4,5,7}:{(265,1),(266,1),(268,1),(317,1),(332,1),(333,1)}
       302:{2,3,5,6}:{(266,1),(318,1),(333,1),(373,1),(375,1),(388,1)}
       303:{3,4,5}:{(267,1),(268,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(272,1),(279,1),(334,1),(335,1),(338,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(274,1),(334,1),(336,1)}
       307:{2,4,7}:{(272,1),(275,1),(282,1),(336,1)}
       308:{2,3,5,7}:{(273,1),(276,1),(283,1),(337,1),(338,1),(376,1),(380,1)}
       309:{3,4,6}:{(274,1),(275,1),(336,1),(339,1)}
       310:{2,4,5}:{(275,1),(276,1),(287,1),(339,1)}
       311:{2,6,7}:{(277,1),(280,1)}
       312:{1,3,6,7}:{(278,1),(281,1),(298,1),(334,1),(341,1),(353,1)}
       313:{1,4,6,7}:{(279,1),(282,1),(299,1),(335,1),(343,1),(347,1)}
       314:{1,2,5,7}:{(280,1),(284,1),(288,1),(340,1),(344,1)}
       315:{2,3,5,7}:{(280,1),(281,1),(285,1),(289,1),(341,1),(344,1),(345,1),(380,1)}
       316:{1,3,4,7}:{(281,1),(282,1),(286,1),(300,1),(336,1),(345,1)}
       317:{1,4,5,7}:{(282,1),(283,1),(287,1),(301,1),(337,1),(347,1)}
       318:{1,3,5,6}:{(283,1),(292,1),(302,1),(338,1),(347,1),(353,1),(385,1),(391,1)}
       319:{1,3,5,6}:{(284,1),(285,1),(293,1),(344,1),(348,1),(355,1),(385,1),(391,1)}
       320:{2,4,6}:{(285,1),(286,1),(345,1),(348,1),(349,1)}
       321:{1,3,4,5}:{(286,1),(287,1),(295,1),(303,1),(339,1),(349,1)}
       322:{1,3,7}:{(288,1),(289,1),(293,1)}
       323:{2,3,4,7}:{(289,1),(290,1),(294,1),(345,1),(351,1),(352,1)}
       324:{1,3,5,7}:{(290,1),(291,1),(295,1),(352,1),(353,1)}
       325:{1,2,4,6}:{(291,1),(292,1),(347,1),(353,1),(383,1)}
       326:{1,2,3,6}:{(293,1),(296,1),(350,1),(354,1)}
       327:{1,3,4,6}:{(293,1),(294,1),(297,1),(348,1),(351,1),(354,1),(355,1),(385,1)}
       328:{2,3,5}:{(294,1),(295,1),(349,1),(355,1)}
       329:{1,2,4}:{(296,1),(297,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(303,1),(356,1),(358,1)}
       333:{2,4,6}:{(301,1),(302,1),(347,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(307,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(309,1)}
       337:{2,4,5,7}:{(307,1),(308,1),(310,1),(317,1),(361,1),(362,1)}
       338:{2,3,5,6}:{(308,1),(318,1),(362,1),(373,1),(386,1),(388,1)}
       339:{3,4,5}:{(309,1),(310,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(315,1),(363,1),(364,1),(373,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(316,1),(330,1),(359,1),(364,1),(365,1),(369,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(319,1),(322,1),(363,1),(367,1),(387,1)}
       345:{2,4,7}:{(315,1),(316,1),(320,1),(367,1)}
       346:{1,3,4,5,7}:{(316,1),(317,1),(321,1),(324,1),(332,1),(361,1),(365,1),(368,1),(369,1)}
       347:{1,4,6}:{(317,1),(318,1),(333,1),(362,1)}
       348:{1,4,6}:{(319,1),(320,1),(367,1),(370,1)}
       349:{2,4,5}:{(320,1),(321,1),(328,1),(370,1)}
       350:{1,2,3,7}:{(322,1),(326,1),(371,1)}
       351:{1,3,4,7}:{(322,1),(323,1),(327,1),(367,1),(371,1),(372,1)}
       352:{2,3,5,7}:{(323,1),(324,1),(328,1),(368,1),(372,1),(373,1)}
       353:{1,3,6}:{(324,1),(325,1),(373,1)}
       354:{1,2,4,6}:{(326,1),(327,1),(329,1),(371,1),(374,1),(390,1)}
       355:{1,3,5}:{(327,1),(328,1),(370,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(339,1),(376,1),(378,1)}
       362:{2,4,6}:{(337,1),(338,1),(347,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(345,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(347,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(348,1)}
       368:{2,4,5,7}:{(345,1),(346,1),(349,1),(352,1),(380,1),(382,1),(383,1)}
       369:{1,3,4,6}:{(346,1),(347,1),(353,1),(358,1),(378,1),(381,1),(383,1)}
       370:{1,4,5}:{(348,1),(349,1),(355,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(354,1),(384,1)}
       372:{1,3,5,7}:{(351,1),(352,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(352,1),(353,1),(383,1),(385,1)}
       374:{1,2,5}:{(354,1),(355,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(369,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(370,1),(372,1),(387,1),(389,1)}
       383:{2,4,6}:{(368,1),(369,1),(373,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(374,1),(390,1)}
       385:{1,3,6}:{(372,1),(373,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

1950 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(44,1),(47,1)}
         1:{1,2,3,5}:{(0,1),(6,1),(8,1),(27,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(70,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(29,1),(67,1),(110,1)}
         4:{2,3,4,6}:{(5,1),(9,1),(10,1),(26,1),(33,1),(34,1),(69,1)}
         5:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1),(13,1),(14,1),(41,1),(42,1),(45,1),(47,1),(91,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(12,1),(16,1),(126,1)}
         8:{1,2,5}:{(3,1),(13,1)}
         9:{2,3,4,7}:{(4,1),(12,1),(19,1),(54,1),(92,1)}
        10:{2,3,5}:{(4,1),(13,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(21,1),(22,1),(26,1),(58,1),(59,1),(69,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(9,1),(21,1),(24,1),(65,1),(70,1),(111,1)}
        13:{1,3,5}:{(5,1),(8,1),(10,1),(22,1),(23,1)}
        14:{1,3,4}:{(6,1),(26,1),(27,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(23,1),(27,1),(28,1),(62,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(24,1),(29,1)}
        17:{1,2,5,6}:{(8,1),(25,1),(28,1),(29,1),(30,1),(104,1),(110,1)}
        18:{2,4,5}:{(10,1),(23,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(24,1),(32,1),(34,1)}
        20:{2,3,5,6}:{(10,1),(25,1),(33,1),(34,1),(35,1),(69,1),(71,1),(75,1),(104,1)}
        21:{2,3,4,7}:{(11,1),(12,1),(37,1),(81,1),(92,1)}
        22:{2,3,5}:{(11,1),(13,1),(36,1)}
        23:{1,4,5}:{(13,1),(18,1),(36,1),(41,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(16,1),(19,1),(37,1),(40,1),(42,1)}
        25:{1,3,5,6}:{(13,1),(17,1),(20,1),(38,1),(41,1),(42,1),(43,1),(47,1),(88,1),(91,1),(121,1)}
        26:{2,3,4}:{(14,1),(45,1),(46,1)}
        27:{1,3,5}:{(14,1),(15,1),(46,1),(47,1)}
        28:{1,2,4,6}:{(15,1),(17,1),(41,1),(47,1),(48,1),(86,1)}
        29:{1,2,6}:{(16,1),(42,1)}
        30:{1,2,5,7}:{(17,1),(43,1),(48,1),(49,1),(122,1),(126,1)}
        31:{3,4,5}:{(18,1),(52,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(40,1),(51,1),(53,1),(54,1),(97,1)}
        33:{2,4,6}:{(18,1),(20,1),(41,1),(52,1),(54,1)}
        34:{2,3,6}:{(19,1),(42,1),(53,1)}
        35:{2,3,5,7}:{(20,1),(43,1),(54,1),(55,1),(92,1),(93,1),(97,1),(122,1)}
        36:{2,4,5}:{(22,1),(23,1),(56,1),(58,1)}
        37:{2,3,5,7}:{(21,1),(22,1),(24,1),(57,1),(59,1)}
        38:{2,3,5,6}:{(22,1),(25,1),(58,1),(59,1),(60,1),(69,1),(98,1),(102,1),(104,1)}
        39:{1,3,4,5}:{(23,1),(27,1),(31,1),(56,1),(62,1),(63,1)}
        40:{1,4,5,7}:{(23,1),(24,1),(32,1),(57,1),(64,1),(65,1),(109,1)}
        41:{1,4,6}:{(23,1),(25,1),(33,1),(58,1),(65,1)}
        42:{1,3,6}:{(24,1),(29,1),(34,1),(59,1),(64,1)}
        43:{1,3,5,7}:{(25,1),(30,1),(35,1),(60,1),(65,1),(66,1),(70,1),(109,1),(111,1),(133,1)}
        44:{1,2,3}:{(67,1)}
        45:{1,3,4}:{(26,1),(67,1),(68,1)}
        46:{2,3,5}:{(26,1),(27,1),(62,1),(68,1),(69,1)}
        47:{1,3,6}:{(27,1),(28,1),(69,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(30,1),(65,1),(70,1),(108,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(66,1),(134,1)}
        50:{2,4,5,6}:{(33,1),(61,1),(71,1),(72,1),(75,1),(104,1),(114,1)}
        51:{3,4,5,7}:{(31,1),(32,1),(73,1),(74,1),(115,1)}
        52:{3,4,6}:{(31,1),(33,1),(71,1),(74,1)}
        53:{2,4,6}:{(32,1),(34,1),(64,1),(73,1),(75,1)}
        54:{2,4,7}:{(33,1),(35,1),(65,1),(74,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(66,1),(76,1),(112,1),(134,1)}
        56:{3,4,5}:{(36,1),(79,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(40,1),(78,1),(80,1),(81,1),(120,1)}
        58:{2,4,6}:{(36,1),(38,1),(41,1),(79,1),(81,1)}
        59:{2,3,6}:{(37,1),(42,1),(80,1)}
        60:{2,3,5,7}:{(38,1),(43,1),(81,1),(82,1),(92,1),(116,1),(120,1),(122,1)}
        61:{1,4,5,6}:{(41,1),(50,1),(77,1),(83,1),(84,1),(88,1),(121,1)}
        62:{2,4,5}:{(39,1),(46,1),(85,1),(86,1)}
        63:{1,3,4,6}:{(39,1),(41,1),(47,1),(52,1),(79,1),(83,1),(86,1),(87,1)}
        64:{1,4,6}:{(40,1),(42,1),(53,1),(80,1),(88,1)}
        65:{1,4,7}:{(41,1),(43,1),(54,1),(81,1)}
        66:{1,3,6,7}:{(42,1),(43,1),(49,1),(55,1),(82,1),(89,1),(138,1)}
        67:{1,2,4}:{(44,1),(45,1),(90,1)}
        68:{1,3,5}:{(45,1),(46,1),(85,1),(90,1),(91,1)}
        69:{2,3,6}:{(46,1),(47,1),(86,1),(91,1),(92,1)}
        70:{1,3,7}:{(47,1),(48,1),(92,1)}
        71:{3,5,6}:{(50,1),(52,1),(93,1)}
        72:{2,4,5,7}:{(50,1),(54,1),(84,1),(93,1),(94,1),(97,1),(122,1),(128,1)}
        73:{3,4,6}:{(51,1),(53,1),(95,1)}
        74:{3,4,7}:{(52,1),(54,1),(93,1)}
        75:{2,5,6}:{(53,1),(88,1),(95,1),(97,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(55,1),(89,1),(96,1),(97,1)}
        77:{2,4,5,6}:{(58,1),(61,1),(98,1),(99,1),(102,1),(104,1),(131,1)}
        78:{3,4,5,7}:{(56,1),(57,1),(100,1),(101,1),(132,1)}
        79:{3,4,6}:{(56,1),(58,1),(98,1),(101,1)}
        80:{2,4,6}:{(57,1),(59,1),(64,1),(100,1),(102,1)}
        81:{2,4,7}:{(58,1),(60,1),(65,1),(101,1)}
        82:{2,3,6,7}:{(59,1),(60,1),(66,1),(103,1),(129,1),(134,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(71,1),(98,1),(104,1),(105,1)}
        84:{1,4,5,7}:{(61,1),(65,1),(72,1),(99,1),(105,1),(106,1),(109,1),(133,1)}
        85:{1,4,5}:{(62,1),(68,1),(107,1)}
        86:{2,4,6}:{(62,1),(63,1),(69,1),(104,1),(107,1),(108,1)}
        87:{1,3,4,7}:{(63,1),(65,1),(70,1),(74,1),(101,1),(105,1),(108,1)}
        88:{1,5,6}:{(64,1),(75,1),(102,1),(109,1)}
        89:{1,4,6,7}:{(64,1),(65,1),(66,1),(76,1),(103,1),(109,1)}
        90:{1,2,5}:{(67,1),(68,1),(110,1)}
        91:{1,3,6}:{(68,1),(69,1),(107,1),(110,1),(111,1)}
        92:{2,3,7}:{(69,1),(70,1),(108,1),(111,1)}
        93:{3,5,7}:{(71,1),(72,1),(74,1),(112,1)}
        94:{2,4,6,7}:{(72,1),(106,1),(112,1),(113,1),(134,1),(135,1)}
        95:{3,5,6}:{(73,1),(75,1),(114,1),(115,1)}
        96:{3,4,6,7}:{(73,1),(74,1),(76,1),(112,1),(115,1),(135,1)}
        97:{2,5,7}:{(75,1),(76,1),(109,1),(115,1)}
        98:{3,5,6}:{(77,1),(79,1),(116,1)}
        99:{2,4,5,7}:{(77,1),(81,1),(84,1),(116,1),(117,1),(120,1),(122,1),(137,1)}
       100:{3,4,6}:{(78,1),(80,1),(118,1)}
       101:{3,4,7}:{(79,1),(81,1),(116,1)}
       102:{2,5,6}:{(80,1),(88,1),(118,1),(120,1)}
       103:{2,4,6,7}:{(80,1),(81,1),(82,1),(89,1),(119,1),(120,1)}
       104:{2,5,6}:{(83,1),(86,1),(121,1),(122,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(87,1),(93,1),(116,1),(122,1),(123,1)}
       106:{1,4,6,7}:{(84,1),(94,1),(117,1),(123,1),(124,1),(138,1)}
       107:{1,4,6}:{(85,1),(86,1),(91,1),(121,1),(125,1)}
       108:{2,4,7}:{(86,1),(87,1),(92,1),(122,1),(125,1)}
       109:{1,5,7}:{(88,1),(89,1),(97,1),(120,1)}
       110:{1,2,6}:{(90,1),(91,1),(126,1)}
       111:{1,3,7}:{(91,1),(92,1),(125,1),(126,1)}
       112:{3,6,7}:{(93,1),(94,1)}
       113:{2,5,6,7}:{(94,1),(97,1),(124,1),(127,1)}
       114:{4,5,6}:{(95,1),(128,1)}
       115:{3,5,7}:{(95,1),(96,1),(97,1),(128,1)}
       116:{3,5,7}:{(98,1),(99,1),(101,1),(129,1)}
       117:{2,4,6,7}:{(99,1),(106,1),(129,1),(130,1),(134,1),(139,1)}
       118:{3,5,6}:{(100,1),(102,1),(131,1),(132,1)}
       119:{3,4,6,7}:{(100,1),(101,1),(103,1),(129,1),(132,1),(139,1)}
       120:{2,5,7}:{(102,1),(103,1),(109,1),(132,1)}
       121:{1,5,6}:{(104,1),(107,1),(133,1)}
       122:{2,5,7}:{(104,1),(105,1),(108,1),(133,1),(134,1)}
       123:{1,3,6,7}:{(105,1),(106,1),(112,1),(129,1),(134,1)}
       124:{1,5,6,7}:{(106,1),(109,1),(113,1),(130,1)}
       125:{1,4,7}:{(107,1),(108,1),(111,1),(133,1)}
       126:{1,2,7}:{(110,1),(111,1)}
       127:{3,5,6,7}:{(112,1),(113,1),(115,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(116,1),(117,1)}
       130:{2,5,6,7}:{(117,1),(120,1),(124,1),(136,1)}
       131:{4,5,6}:{(118,1),(137,1)}
       132:{3,5,7}:{(118,1),(119,1),(120,1),(137,1)}
       133:{1,5,7}:{(121,1),(122,1),(125,1),(138,1)}
       134:{2,6,7}:{(122,1),(123,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(132,1),(139,1)}
       137:{4,5,7}:{(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1951 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(64,1),(67,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(72,1),(109,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(11,1),(12,1),(13,1),(85,1),(89,1),(124,1)}
         5:{1,2,3,5}:{(1,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(86,1),(123,1)}
         7:{1,2,5,7}:{(2,1),(13,1),(15,1),(16,1)}
         8:{2,3,4,6}:{(3,1),(12,1),(18,1),(19,1),(43,1),(50,1),(88,1)}
         9:{2,3,5,7}:{(3,1),(13,1),(17,1),(18,1),(19,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(49,1),(53,1),(93,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(100,1),(109,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(62,1),(65,1),(67,1),(108,1)}
        13:{1,3,5,7}:{(4,1),(7,1),(9,1),(22,1),(23,1),(24,1),(25,1)}
        14:{1,2,4}:{(5,1),(26,1)}
        15:{1,2,5}:{(6,1),(24,1)}
        16:{1,2,6}:{(7,1),(25,1)}
        17:{2,4,5,7}:{(9,1),(10,1),(23,1),(30,1),(31,1),(70,1),(72,1)}
        18:{2,3,5}:{(8,1),(24,1),(31,1)}
        19:{2,3,6}:{(9,1),(25,1),(30,1)}
        20:{3,4,6}:{(10,1),(30,1),(34,1)}
        21:{2,3,4,6}:{(11,1),(12,1),(37,1),(38,1),(43,1),(79,1),(88,1)}
        22:{2,3,5,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        23:{1,4,5,7}:{(13,1),(17,1),(36,1),(39,1),(40,1),(82,1),(85,1)}
        24:{1,3,5}:{(12,1),(15,1),(18,1),(37,1),(40,1)}
        25:{1,3,6}:{(13,1),(16,1),(19,1),(38,1),(39,1)}
        26:{1,3,4}:{(14,1),(43,1),(44,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(44,1),(45,1),(83,1)}
        28:{1,2,5,6}:{(15,1),(16,1),(41,1),(45,1),(46,1),(119,1),(123,1)}
        29:{1,2,6,7}:{(16,1),(42,1),(46,1),(137,1)}
        30:{2,4,6}:{(17,1),(19,1),(20,1),(39,1),(47,1)}
        31:{2,4,5}:{(18,1),(40,1),(49,1),(50,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(47,1),(50,1),(51,1),(88,1),(91,1),(119,1)}
        33:{2,3,6,7}:{(19,1),(42,1),(48,1),(51,1),(125,1),(137,1)}
        34:{3,5,6}:{(20,1),(47,1),(52,1),(53,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(53,1),(93,1),(94,1),(125,1)}
        36:{2,4,5,7}:{(22,1),(23,1),(54,1),(55,1),(56,1),(98,1),(100,1)}
        37:{2,3,5}:{(21,1),(24,1),(56,1)}
        38:{2,3,6}:{(22,1),(25,1),(55,1)}
        39:{1,4,6}:{(23,1),(25,1),(30,1),(55,1),(59,1)}
        40:{1,4,5}:{(24,1),(31,1),(56,1),(62,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(28,1),(32,1),(57,1),(59,1),(62,1),(63,1),(67,1),(108,1),(131,1)}
        42:{1,3,6,7}:{(25,1),(29,1),(33,1),(58,1),(60,1),(63,1),(139,1)}
        43:{2,3,4}:{(26,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(66,1),(67,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(63,1),(68,1),(132,1),(134,1)}
        47:{2,5,6}:{(30,1),(34,1),(59,1),(70,1)}
        48:{2,4,6,7}:{(30,1),(33,1),(35,1),(60,1),(70,1),(72,1)}
        49:{3,4,5}:{(31,1),(71,1)}
        50:{2,4,6}:{(31,1),(32,1),(62,1),(71,1),(72,1)}
        51:{2,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(109,1),(111,1),(132,1)}
        52:{4,5,6}:{(34,1),(74,1)}
        53:{3,5,7}:{(34,1),(35,1),(70,1),(74,1)}
        54:{3,4,5,7}:{(36,1),(75,1),(78,1),(113,1),(117,1)}
        55:{2,4,6}:{(36,1),(38,1),(39,1),(75,1),(76,1)}
        56:{2,4,5}:{(37,1),(40,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(88,1),(115,1),(119,1)}
        58:{2,3,6,7}:{(38,1),(42,1),(77,1),(80,1),(136,1),(137,1)}
        59:{1,5,6}:{(39,1),(47,1),(76,1),(82,1)}
        60:{1,4,6,7}:{(39,1),(42,1),(48,1),(77,1),(82,1),(85,1)}
        61:{1,3,4,5}:{(40,1),(44,1),(49,1),(78,1),(83,1),(84,1)}
        62:{1,4,6}:{(40,1),(41,1),(50,1),(79,1),(85,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(46,1),(51,1),(80,1),(82,1),(85,1),(89,1),(124,1),(138,1)}
        64:{1,2,3}:{(86,1)}
        65:{1,3,4}:{(43,1),(86,1),(87,1)}
        66:{2,3,5}:{(43,1),(44,1),(83,1),(87,1),(88,1)}
        67:{1,3,6}:{(44,1),(45,1),(88,1),(89,1)}
        68:{1,2,4,7}:{(45,1),(46,1),(85,1),(89,1),(122,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(52,1),(81,1),(91,1),(92,1),(119,1)}
        70:{2,5,7}:{(47,1),(48,1),(53,1),(82,1)}
        71:{3,4,6}:{(49,1),(50,1),(91,1),(93,1)}
        72:{2,4,7}:{(50,1),(51,1),(85,1),(93,1)}
        73:{3,5,6,7}:{(53,1),(90,1),(94,1),(125,1)}
        74:{4,5,7}:{(52,1),(53,1),(94,1)}
        75:{3,4,6}:{(54,1),(55,1),(95,1)}
        76:{2,5,6}:{(55,1),(59,1),(95,1),(98,1)}
        77:{2,4,6,7}:{(55,1),(58,1),(60,1),(96,1),(98,1),(100,1)}
        78:{3,4,5}:{(56,1),(99,1)}
        79:{2,4,6}:{(56,1),(57,1),(62,1),(99,1),(100,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(109,1),(129,1),(132,1)}
        81:{1,4,5,6}:{(59,1),(62,1),(69,1),(97,1),(102,1),(103,1),(131,1)}
        82:{1,5,7}:{(59,1),(60,1),(70,1),(98,1)}
        83:{2,4,5}:{(61,1),(66,1),(104,1),(105,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(67,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        85:{1,4,7}:{(62,1),(63,1),(72,1),(100,1)}
        86:{1,2,4}:{(64,1),(65,1),(107,1)}
        87:{1,3,5}:{(65,1),(66,1),(104,1),(107,1),(108,1)}
        88:{2,3,6}:{(66,1),(67,1),(105,1),(108,1),(109,1)}
        89:{1,3,7}:{(67,1),(68,1),(109,1)}
        90:{2,5,6,7}:{(70,1),(73,1),(101,1),(110,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(72,1),(74,1),(103,1),(110,1),(111,1),(132,1)}
        93:{3,4,7}:{(71,1),(72,1),(111,1)}
        94:{4,6,7}:{(73,1),(74,1)}
        95:{3,5,6}:{(75,1),(76,1),(112,1),(113,1)}
        96:{3,4,6,7}:{(75,1),(77,1),(113,1),(117,1),(135,1),(136,1)}
        97:{2,4,5,6}:{(76,1),(79,1),(81,1),(112,1),(115,1),(116,1),(119,1)}
        98:{2,5,7}:{(76,1),(77,1),(82,1),(113,1)}
        99:{3,4,6}:{(78,1),(79,1),(115,1),(117,1)}
       100:{2,4,7}:{(79,1),(80,1),(85,1),(117,1)}
       101:{1,5,6,7}:{(82,1),(90,1),(114,1),(118,1)}
       102:{1,3,5,6}:{(81,1),(84,1),(91,1),(115,1),(119,1),(120,1)}
       103:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(116,1),(118,1),(120,1),(138,1)}
       104:{1,4,5}:{(83,1),(87,1),(121,1)}
       105:{2,4,6}:{(83,1),(84,1),(88,1),(119,1),(121,1),(122,1)}
       106:{1,3,4,7}:{(84,1),(85,1),(89,1),(93,1),(117,1),(120,1),(122,1)}
       107:{1,2,5}:{(86,1),(87,1),(123,1)}
       108:{1,3,6}:{(87,1),(88,1),(121,1),(123,1),(124,1)}
       109:{2,3,7}:{(88,1),(89,1),(122,1),(124,1)}
       110:{2,4,6,7}:{(90,1),(92,1),(94,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       112:{4,5,6}:{(95,1),(127,1)}
       113:{3,5,7}:{(95,1),(96,1),(98,1),(127,1)}
       114:{2,5,6,7}:{(98,1),(101,1),(126,1),(128,1)}
       115:{3,5,6}:{(97,1),(99,1),(129,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(100,1),(103,1),(127,1),(128,1),(129,1),(132,1)}
       117:{3,4,7}:{(99,1),(100,1),(129,1)}
       118:{1,4,6,7}:{(101,1),(103,1),(110,1),(128,1),(130,1),(139,1)}
       119:{2,5,6}:{(102,1),(105,1),(131,1),(132,1)}
       120:{1,3,5,7}:{(102,1),(103,1),(106,1),(111,1),(129,1),(130,1),(132,1)}
       121:{1,4,6}:{(104,1),(105,1),(108,1),(131,1),(133,1)}
       122:{2,4,7}:{(105,1),(106,1),(109,1),(132,1),(133,1)}
       123:{1,2,6}:{(107,1),(108,1),(134,1)}
       124:{1,3,7}:{(108,1),(109,1),(133,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(113,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(116,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(120,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(119,1),(121,1),(138,1)}
       132:{2,5,7}:{(119,1),(120,1),(122,1),(137,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(124,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1952 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(26,1)}
         2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(32,1),(64,1)}
         3:{1,2,3,7}:{(0,1),(8,1),(68,1)}
         4:{2,3,4,6}:{(6,1),(9,1),(10,1),(25,1),(34,1),(37,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,3,4,6}:{(2,1),(4,1),(11,1),(13,1),(15,1),(16,1),(41,1),(45,1),(47,1),(50,1),(86,1)}
         7:{1,2,5}:{(2,1),(15,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(87,1)}
         9:{2,3,5}:{(4,1),(15,1),(19,1)}
        10:{2,3,4,7}:{(4,1),(16,1),(21,1),(55,1),(89,1)}
        11:{2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(59,1),(62,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,5}:{(6,1),(7,1),(9,1),(22,1),(28,1)}
        16:{1,3,4,7}:{(6,1),(8,1),(10,1),(23,1),(30,1),(68,1),(70,1),(107,1)}
        17:{1,2,5,6}:{(7,1),(27,1),(29,1),(31,1),(32,1),(64,1),(108,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(30,1),(32,1)}
        19:{2,4,5}:{(9,1),(28,1),(33,1),(34,1)}
        20:{2,3,5,6}:{(9,1),(29,1),(34,1),(36,1),(37,1),(66,1),(73,1),(78,1),(108,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(30,1),(35,1),(37,1)}
        22:{2,3,5}:{(11,1),(15,1),(38,1)}
        23:{2,3,4,7}:{(11,1),(16,1),(40,1),(82,1),(89,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(45,1),(46,1),(47,1),(88,1)}
        28:{1,4,5}:{(15,1),(19,1),(38,1),(47,1)}
        29:{1,3,5,6}:{(15,1),(17,1),(20,1),(39,1),(45,1),(47,1),(49,1),(50,1),(86,1),(94,1),(122,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(18,1),(21,1),(40,1),(48,1),(50,1)}
        31:{1,2,5,7}:{(17,1),(46,1),(49,1),(51,1),(87,1),(124,1)}
        32:{1,2,6}:{(18,1),(50,1)}
        33:{3,4,5}:{(19,1),(52,1)}
        34:{2,4,6}:{(19,1),(20,1),(47,1),(52,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(21,1),(48,1),(53,1),(55,1),(56,1),(99,1)}
        36:{2,3,5,7}:{(20,1),(49,1),(55,1),(57,1),(89,1),(95,1),(99,1),(124,1)}
        37:{2,3,6}:{(21,1),(50,1),(56,1)}
        38:{2,4,5}:{(22,1),(28,1),(58,1),(59,1)}
        39:{2,3,5,6}:{(22,1),(29,1),(59,1),(61,1),(62,1),(66,1),(100,1),(105,1),(108,1)}
        40:{2,3,5,7}:{(22,1),(23,1),(30,1),(60,1),(62,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(28,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(31,1),(68,1),(70,1),(109,1)}
        47:{1,4,6}:{(28,1),(29,1),(34,1),(59,1),(70,1)}
        48:{1,4,5,7}:{(28,1),(30,1),(35,1),(60,1),(70,1),(71,1),(112,1)}
        49:{1,3,5,7}:{(29,1),(31,1),(36,1),(61,1),(68,1),(70,1),(72,1),(107,1),(112,1),(133,1)}
        50:{1,3,6}:{(30,1),(32,1),(37,1),(62,1),(71,1)}
        51:{1,2,6,7}:{(31,1),(32,1),(72,1),(134,1)}
        52:{3,4,6}:{(33,1),(34,1),(73,1),(74,1)}
        53:{3,4,5,7}:{(33,1),(35,1),(74,1),(75,1),(114,1)}
        54:{2,4,5,6}:{(34,1),(69,1),(73,1),(76,1),(78,1),(108,1),(115,1)}
        55:{2,4,7}:{(34,1),(36,1),(70,1),(74,1)}
        56:{2,4,6}:{(35,1),(37,1),(71,1),(75,1),(78,1)}
        57:{2,3,6,7}:{(36,1),(37,1),(72,1),(77,1),(113,1),(134,1)}
        58:{3,4,5}:{(38,1),(79,1)}
        59:{2,4,6}:{(38,1),(39,1),(47,1),(79,1),(82,1)}
        60:{2,4,5,7}:{(38,1),(40,1),(48,1),(80,1),(82,1),(83,1),(121,1)}
        61:{2,3,5,7}:{(39,1),(49,1),(82,1),(84,1),(89,1),(117,1),(121,1),(124,1)}
        62:{2,3,6}:{(40,1),(50,1),(83,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(47,1),(52,1),(79,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,5,6}:{(47,1),(54,1),(81,1),(90,1),(92,1),(94,1),(122,1)}
        70:{1,4,7}:{(47,1),(49,1),(55,1),(82,1)}
        71:{1,4,6}:{(48,1),(50,1),(56,1),(83,1),(94,1)}
        72:{1,3,6,7}:{(49,1),(50,1),(51,1),(57,1),(84,1),(93,1),(138,1)}
        73:{3,5,6}:{(52,1),(54,1),(95,1)}
        74:{3,4,7}:{(52,1),(55,1),(95,1)}
        75:{3,4,6}:{(53,1),(56,1),(97,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(92,1),(95,1),(98,1),(99,1),(124,1),(128,1)}
        77:{2,4,6,7}:{(55,1),(56,1),(57,1),(93,1),(96,1),(99,1)}
        78:{2,5,6}:{(56,1),(94,1),(97,1),(99,1)}
        79:{3,4,6}:{(58,1),(59,1),(100,1),(101,1)}
        80:{3,4,5,7}:{(58,1),(60,1),(101,1),(102,1),(130,1)}
        81:{2,4,5,6}:{(59,1),(69,1),(100,1),(103,1),(105,1),(108,1),(131,1)}
        82:{2,4,7}:{(59,1),(61,1),(70,1),(101,1)}
        83:{2,4,6}:{(60,1),(62,1),(71,1),(102,1),(105,1)}
        84:{2,3,6,7}:{(61,1),(62,1),(72,1),(104,1),(129,1),(134,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(69,1),(73,1),(100,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(70,1),(74,1),(101,1),(109,1),(110,1)}
        92:{1,4,5,7}:{(69,1),(70,1),(76,1),(103,1),(110,1),(111,1),(112,1),(133,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(72,1),(77,1),(104,1),(112,1)}
        94:{1,5,6}:{(71,1),(78,1),(105,1),(112,1)}
        95:{3,5,7}:{(73,1),(74,1),(76,1),(113,1)}
        96:{3,4,6,7}:{(74,1),(75,1),(77,1),(113,1),(114,1),(135,1)}
        97:{3,5,6}:{(75,1),(78,1),(114,1),(115,1)}
        98:{2,4,6,7}:{(76,1),(111,1),(113,1),(116,1),(134,1),(135,1)}
        99:{2,5,7}:{(77,1),(78,1),(112,1),(114,1)}
       100:{3,5,6}:{(79,1),(81,1),(117,1)}
       101:{3,4,7}:{(79,1),(82,1),(117,1)}
       102:{3,4,6}:{(80,1),(83,1),(119,1)}
       103:{2,4,5,7}:{(81,1),(82,1),(92,1),(117,1),(120,1),(121,1),(124,1),(137,1)}
       104:{2,4,6,7}:{(82,1),(83,1),(84,1),(93,1),(118,1),(121,1)}
       105:{2,5,6}:{(83,1),(94,1),(119,1),(121,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(92,1),(95,1),(117,1),(124,1),(125,1)}
       111:{1,4,6,7}:{(92,1),(98,1),(120,1),(125,1),(126,1),(138,1)}
       112:{1,5,7}:{(93,1),(94,1),(99,1),(121,1)}
       113:{3,6,7}:{(95,1),(98,1)}
       114:{3,5,7}:{(96,1),(97,1),(99,1),(128,1)}
       115:{4,5,6}:{(97,1),(128,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(127,1)}
       117:{3,5,7}:{(100,1),(101,1),(103,1),(129,1)}
       118:{3,4,6,7}:{(101,1),(102,1),(104,1),(129,1),(130,1),(139,1)}
       119:{3,5,6}:{(102,1),(105,1),(130,1),(131,1)}
       120:{2,4,6,7}:{(103,1),(111,1),(129,1),(132,1),(134,1),(139,1)}
       121:{2,5,7}:{(104,1),(105,1),(112,1),(130,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(111,1),(113,1),(129,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{3,5,6,7}:{(113,1),(114,1),(116,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(117,1),(120,1)}
       130:{3,5,7}:{(118,1),(119,1),(121,1),(137,1)}
       131:{4,5,6}:{(119,1),(137,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(136,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(130,1),(132,1),(139,1)}
       137:{4,5,7}:{(130,1),(131,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

1953 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(65,1),(109,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(11,1),(12,1),(13,1),(82,1),(85,1),(123,1)}
         5:{1,2,5,7}:{(1,1),(12,1),(14,1),(15,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(16,1),(88,1),(124,1)}
         7:{1,2,3,5}:{(2,1),(15,1),(16,1),(45,1)}
         8:{2,3,5,7}:{(3,1),(12,1),(17,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(13,1),(18,1),(19,1),(46,1),(50,1),(86,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(51,1),(52,1),(92,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(98,1),(106,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(21,1),(23,1),(24,1),(25,1)}
        13:{1,3,4,6}:{(4,1),(6,1),(9,1),(22,1),(24,1),(25,1),(29,1),(62,1),(65,1),(67,1),(107,1)}
        14:{1,2,6}:{(5,1),(24,1)}
        15:{1,2,5}:{(6,1),(25,1)}
        16:{1,2,4}:{(7,1),(29,1)}
        17:{2,4,5,7}:{(8,1),(10,1),(23,1),(30,1),(33,1),(68,1),(70,1)}
        18:{2,3,6}:{(8,1),(24,1),(30,1)}
        19:{2,3,5}:{(9,1),(25,1),(33,1)}
        20:{3,4,6}:{(10,1),(30,1),(35,1)}
        21:{2,3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(11,1),(13,1),(37,1),(38,1),(46,1),(78,1),(86,1)}
        23:{1,4,5,7}:{(12,1),(17,1),(36,1),(39,1),(42,1),(80,1),(82,1)}
        24:{1,3,6}:{(12,1),(14,1),(18,1),(37,1),(39,1)}
        25:{1,3,5}:{(13,1),(15,1),(19,1),(38,1),(42,1)}
        26:{1,2,6,7}:{(14,1),(40,1),(43,1),(137,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(120,1),(124,1)}
        28:{1,2,4,5}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1)}
        29:{1,3,4}:{(16,1),(45,1),(46,1)}
        30:{2,4,6}:{(17,1),(18,1),(20,1),(39,1),(48,1)}
        31:{2,3,6,7}:{(18,1),(40,1),(47,1),(49,1),(125,1),(137,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(48,1),(49,1),(50,1),(86,1),(91,1),(120,1)}
        33:{2,4,5}:{(19,1),(42,1),(50,1),(51,1)}
        34:{3,4,6,7}:{(20,1),(47,1),(52,1),(92,1),(93,1),(125,1)}
        35:{3,5,6}:{(20,1),(48,1),(52,1),(53,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(55,1),(58,1),(96,1),(98,1)}
        37:{2,3,6}:{(21,1),(24,1),(55,1)}
        38:{2,3,5}:{(22,1),(25,1),(58,1)}
        39:{1,4,6}:{(23,1),(24,1),(30,1),(55,1),(60,1)}
        40:{1,3,6,7}:{(24,1),(26,1),(31,1),(56,1),(59,1),(61,1),(139,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(32,1),(57,1),(60,1),(61,1),(62,1),(65,1),(107,1),(132,1)}
        42:{1,4,5}:{(25,1),(33,1),(58,1),(62,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(61,1),(64,1),(131,1),(134,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(62,1),(64,1),(65,1),(104,1)}
        45:{1,3,5}:{(28,1),(29,1),(65,1),(66,1)}
        46:{2,3,4}:{(29,1),(66,1),(67,1)}
        47:{2,4,6,7}:{(30,1),(31,1),(34,1),(59,1),(68,1),(70,1)}
        48:{2,5,6}:{(30,1),(35,1),(60,1),(68,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(61,1),(68,1),(70,1),(106,1),(111,1),(131,1)}
        50:{2,4,6}:{(32,1),(33,1),(62,1),(70,1),(71,1)}
        51:{3,4,5}:{(33,1),(71,1)}
        52:{3,5,7}:{(34,1),(35,1),(68,1),(73,1)}
        53:{4,5,6}:{(35,1),(73,1)}
        54:{3,4,5,7}:{(36,1),(74,1),(79,1),(112,1),(117,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(74,1),(76,1)}
        56:{2,3,6,7}:{(37,1),(40,1),(75,1),(77,1),(136,1),(137,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(77,1),(78,1),(86,1),(116,1),(120,1)}
        58:{2,4,5}:{(38,1),(42,1),(78,1),(79,1)}
        59:{1,4,6,7}:{(39,1),(40,1),(47,1),(75,1),(80,1),(82,1)}
        60:{1,5,6}:{(39,1),(48,1),(76,1),(80,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(77,1),(80,1),(82,1),(85,1),(123,1),(138,1)}
        62:{1,4,6}:{(41,1),(42,1),(50,1),(78,1),(82,1)}
        63:{1,3,4,5}:{(42,1),(45,1),(51,1),(79,1),(83,1),(84,1)}
        64:{1,2,4,7}:{(43,1),(44,1),(82,1),(85,1),(121,1)}
        65:{1,3,6}:{(44,1),(45,1),(85,1),(86,1)}
        66:{2,3,5}:{(45,1),(46,1),(84,1),(86,1),(87,1)}
        67:{1,3,4}:{(46,1),(87,1),(88,1)}
        68:{2,5,7}:{(47,1),(48,1),(52,1),(80,1)}
        69:{2,4,5,6}:{(48,1),(50,1),(53,1),(81,1),(90,1),(91,1),(120,1)}
        70:{2,4,7}:{(49,1),(50,1),(82,1),(92,1)}
        71:{3,4,6}:{(50,1),(51,1),(91,1),(92,1)}
        72:{3,5,6,7}:{(52,1),(89,1),(93,1),(125,1)}
        73:{4,5,7}:{(52,1),(53,1),(93,1)}
        74:{3,4,6}:{(54,1),(55,1),(95,1)}
        75:{2,4,6,7}:{(55,1),(56,1),(59,1),(94,1),(96,1),(98,1)}
        76:{2,5,6}:{(55,1),(60,1),(95,1),(96,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(96,1),(98,1),(106,1),(129,1),(131,1)}
        78:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(99,1)}
        79:{3,4,5}:{(58,1),(99,1)}
        80:{1,5,7}:{(59,1),(60,1),(68,1),(96,1)}
        81:{1,4,5,6}:{(60,1),(62,1),(69,1),(97,1),(101,1),(102,1),(132,1)}
        82:{1,4,7}:{(61,1),(62,1),(70,1),(98,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(65,1),(71,1),(99,1),(102,1),(103,1),(104,1)}
        84:{2,4,5}:{(63,1),(66,1),(104,1),(105,1)}
        85:{1,3,7}:{(64,1),(65,1),(106,1)}
        86:{2,3,6}:{(65,1),(66,1),(104,1),(106,1),(107,1)}
        87:{1,3,5}:{(66,1),(67,1),(105,1),(107,1),(108,1)}
        88:{1,2,4}:{(67,1),(108,1),(109,1)}
        89:{2,5,6,7}:{(68,1),(72,1),(100,1),(110,1)}
        90:{2,4,5,7}:{(68,1),(69,1),(70,1),(73,1),(101,1),(110,1),(111,1),(131,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{3,4,7}:{(70,1),(71,1),(111,1)}
        93:{4,6,7}:{(72,1),(73,1)}
        94:{3,4,6,7}:{(74,1),(75,1),(112,1),(117,1),(135,1),(136,1)}
        95:{3,5,6}:{(74,1),(76,1),(112,1),(113,1)}
        96:{2,5,7}:{(75,1),(76,1),(80,1),(112,1)}
        97:{2,4,5,6}:{(76,1),(78,1),(81,1),(113,1),(115,1),(116,1),(120,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(117,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{1,5,6,7}:{(80,1),(89,1),(114,1),(118,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(82,1),(90,1),(115,1),(118,1),(119,1),(138,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(91,1),(116,1),(119,1),(120,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(85,1),(92,1),(117,1),(119,1),(121,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(120,1),(121,1),(122,1)}
       105:{1,4,5}:{(84,1),(87,1),(122,1)}
       106:{2,3,7}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,3,6}:{(86,1),(87,1),(122,1),(123,1),(124,1)}
       108:{1,2,5}:{(87,1),(88,1),(124,1)}
       109:{1,2,3}:{(88,1)}
       110:{2,4,6,7}:{(89,1),(90,1),(93,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(90,1),(91,1),(92,1),(125,1)}
       112:{3,5,7}:{(94,1),(95,1),(96,1),(127,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{2,5,6,7}:{(96,1),(100,1),(126,1),(128,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(127,1),(128,1),(129,1),(131,1)}
       116:{3,5,6}:{(97,1),(99,1),(129,1)}
       117:{3,4,7}:{(98,1),(99,1),(129,1)}
       118:{1,4,6,7}:{(100,1),(101,1),(110,1),(128,1),(130,1),(139,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(103,1),(111,1),(129,1),(130,1),(131,1)}
       120:{2,5,6}:{(102,1),(104,1),(131,1),(132,1)}
       121:{2,4,7}:{(103,1),(104,1),(106,1),(131,1),(133,1)}
       122:{1,4,6}:{(104,1),(105,1),(107,1),(132,1),(133,1)}
       123:{1,3,7}:{(106,1),(107,1),(133,1),(134,1)}
       124:{1,2,6}:{(107,1),(108,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(112,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(115,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(119,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(119,1),(120,1),(121,1),(137,1),(138,1)}
       132:{1,5,6}:{(120,1),(122,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(123,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

1954 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1955 :   0:{2,4,5,6,7}:{(1,1),(2,1),(11,1),(14,1),(89,1),(162,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(25,1),(29,1),(60,1),(136,1)}
         2:{3,5,6,7}:{(0,1),(5,1),(122,1),(202,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(11,1),(36,1),(51,1),(111,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(10,1),(11,1),(176,1)}
         5:{3,4,6,7}:{(2,1),(13,1),(14,1)}
         6:{2,3,5,6,7}:{(2,1),(11,1),(14,1),(15,1),(42,1),(48,1)}
         7:{3,4,5,6}:{(13,1),(16,1),(241,1),(264,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(47,1),(48,1),(96,1),(117,1),(237,1),(250,1),(259,1),(265,1),(301,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(78,1),(148,1)}
        10:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(68,1),(78,1),(122,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(25,1),(217,1)}
        12:{1,3,4,5,6}:{(7,1),(21,1),(23,1),(26,1),(32,1),(63,1),(72,1),(81,1),(125,1),(140,1),(218,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(27,1),(202,1),(284,1)}
        14:{2,4,6,7}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,3,5,6,7}:{(6,1),(25,1),(29,1),(30,1),(68,1),(75,1),(78,1)}
        16:{2,4,5,6}:{(7,1),(27,1),(31,1),(32,1),(232,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(33,1),(153,1),(232,1),(269,1),(280,1),(310,1)}
        18:{1,3,4,5,7}:{(8,1),(33,1),(34,1),(74,1),(75,1),(84,1),(130,1),(145,1),(152,1),(226,1),(233,1),(279,1)}
        19:{3,4,6,7}:{(9,1),(35,1),(36,1)}
        20:{2,3,5,6,7}:{(9,1),(11,1),(36,1),(37,1),(42,1),(86,1)}
        21:{3,4,5,6}:{(35,1),(38,1),(191,1),(294,1)}
        22:{2,3,4,5,7}:{(39,1),(40,1),(47,1),(86,1),(96,1),(168,1),(187,1),(250,1),(289,1),(295,1),(311,1)}
        23:{1,3,4,5,7}:{(10,1),(12,1),(13,1),(35,1),(41,1),(49,1),(87,1),(97,1),(107,1),(158,1),(173,1),(176,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(41,1),(42,1),(43,1),(99,1)}
        25:{1,5,6,7}:{(11,1),(43,1),(252,1)}
        26:{2,4,5,6}:{(12,1),(41,1),(45,1),(46,1),(103,1),(181,1),(253,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(16,1),(48,1),(49,1),(259,1)}
        28:{2,3,4,6,7}:{(14,1),(17,1),(42,1),(48,1),(50,1),(96,1),(161,1),(175,1),(188,1),(259,1)}
        29:{1,4,6,7}:{(14,1),(15,1),(49,1),(51,1)}
        30:{2,5,6,7}:{(15,1),(51,1),(99,1),(106,1)}
        31:{2,3,5,6}:{(16,1),(17,1),(48,1),(53,1),(241,1),(253,1)}
        32:{1,4,5,6}:{(16,1),(49,1),(53,1),(54,1),(193,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(53,1),(55,1),(114,1),(115,1),(193,1),(299,1)}
        34:{2,4,5,7}:{(18,1),(55,1),(57,1),(105,1),(106,1),(170,1),(186,1),(194,1)}
        35:{3,4,5,7}:{(19,1),(21,1),(58,1),(148,1),(303,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(58,1),(60,1)}
        37:{1,3,5,6,7}:{(20,1),(25,1),(60,1),(61,1),(68,1),(119,1),(122,1)}
        38:{2,4,5,6}:{(21,1),(58,1),(62,1),(63,1),(273,1)}
        39:{2,3,4,6}:{(22,1),(62,1),(64,1),(207,1),(228,1),(273,1),(280,1),(314,1)}
        40:{1,3,4,5,7}:{(22,1),(64,1),(65,1),(74,1),(119,1),(128,1),(130,1),(199,1),(206,1),(267,1),(274,1),(279,1)}
        41:{2,4,5,7}:{(23,1),(24,1),(26,1),(66,1),(67,1),(131,1),(214,1),(217,1)}
        42:{2,3,6,7}:{(24,1),(66,1),(68,1),(78,1),(122,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(67,1),(68,1)}
        44:{1,2,5,6,7}:{(25,1),(30,1),(61,1),(69,1),(70,1),(133,1),(143,1),(197,1),(217,1),(281,1),(287,1),(306,1)}
        45:{2,3,5,6}:{(26,1),(66,1),(71,1),(72,1),(81,1),(125,1)}
        46:{1,4,5,6}:{(26,1),(67,1),(72,1),(221,1),(281,1)}
        47:{2,3,4,5}:{(71,1),(74,1),(152,1),(206,1),(222,1),(223,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(31,1),(75,1),(202,1),(217,1)}
        49:{1,4,5,7}:{(27,1),(29,1),(32,1),(75,1),(76,1),(226,1)}
        50:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(68,1),(75,1),(77,1),(78,1),(130,1),(145,1),(146,1),(216,1),(226,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(76,1),(78,1)}
        52:{2,3,5,6,7}:{(30,1),(70,1),(78,1),(79,1),(134,1),(144,1),(148,1),(217,1),(231,1),(266,1),(306,1),(314,1)}
        53:{1,3,5,6}:{(31,1),(32,1),(33,1),(75,1),(80,1),(81,1),(281,1)}
        54:{2,4,5,6}:{(32,1),(76,1),(80,1),(81,1),(151,1)}
        55:{2,4,6}:{(33,1),(34,1),(80,1),(83,1)}
        56:{1,2,4,5,7}:{(34,1),(82,1),(84,1),(141,1),(143,1),(156,1),(211,1),(226,1),(233,1),(234,1),(279,1),(285,1),(308,1)}
        57:{2,3,5,7}:{(34,1),(83,1),(84,1),(85,1),(142,1),(155,1),(212,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(38,1),(86,1),(87,1),(289,1)}
        59:{2,3,4,6,7}:{(36,1),(39,1),(42,1),(86,1),(88,1),(96,1),(110,1),(175,1),(238,1),(289,1)}
        60:{1,4,6,7}:{(36,1),(37,1),(87,1),(89,1)}
        61:{2,5,6,7}:{(37,1),(89,1),(99,1),(157,1)}
        62:{2,3,5,6}:{(38,1),(39,1),(86,1),(91,1),(191,1),(253,1)}
        63:{1,4,5,6}:{(38,1),(87,1),(91,1),(92,1),(243,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(91,1),(93,1),(165,1),(166,1),(243,1),(299,1)}
        65:{2,4,5,7}:{(40,1),(93,1),(95,1),(105,1),(157,1),(170,1),(236,1),(244,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(45,1),(96,1),(97,1),(107,1),(158,1)}
        67:{1,4,5,7}:{(41,1),(43,1),(46,1),(97,1),(249,1),(252,1)}
        68:{1,3,6,7}:{(42,1),(43,1),(97,1),(99,1)}
        69:{1,2,4,6,7}:{(43,1),(44,1),(51,1),(89,1),(98,1),(99,1),(100,1),(101,1),(175,1),(299,1),(302,1),(312,1),(313,1)}
        70:{1,3,5,6,7}:{(44,1),(52,1),(90,1),(100,1),(101,1),(174,1),(176,1),(185,1),(235,1),(252,1),(263,1),(293,1)}
        71:{2,3,4,6}:{(45,1),(47,1),(96,1),(102,1),(114,1),(165,1),(181,1),(254,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(97,1),(102,1),(103,1)}
        73:{1,2,4,5,6}:{(46,1),(54,1),(92,1),(98,1),(103,1),(104,1),(112,1),(163,1),(177,1),(178,1),(181,1),(193,1),(243,1),(253,1),(257,1),(265,1),(295,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,4,5}:{(47,1),(102,1),(105,1),(183,1),(257,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(53,1),(106,1),(107,1),(252,1)}
        76:{2,4,5,7}:{(49,1),(51,1),(54,1),(106,1),(107,1),(186,1)}
        77:{2,4,6,7}:{(50,1),(55,1),(99,1),(106,1),(109,1),(170,1),(186,1)}
        78:{3,6,7}:{(51,1),(107,1)}
        79:{2,4,6,7}:{(52,1),(101,1),(110,1),(111,1),(186,1),(261,1),(289,1),(312,1)}
        80:{2,5,6}:{(53,1),(55,1),(106,1)}
        81:{3,5,6}:{(54,1),(107,1),(114,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(112,1),(115,1),(193,1),(195,1),(299,1),(302,1),(313,1)}
        83:{2,3,6}:{(55,1),(57,1),(115,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(115,1),(117,1),(118,1),(183,1),(196,1),(247,1),(301,1)}
        85:{2,3,4,7}:{(57,1),(116,1),(118,1),(184,1),(186,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(62,1),(119,1),(148,1),(217,1)}
        87:{1,4,5,7}:{(58,1),(60,1),(63,1),(119,1),(120,1),(267,1)}
        88:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(68,1),(119,1),(121,1),(122,1),(130,1),(199,1),(200,1),(216,1),(267,1)}
        89:{2,4,6,7}:{(60,1),(61,1),(120,1),(122,1)}
        90:{2,3,5,6,7}:{(61,1),(70,1),(122,1),(123,1),(134,1),(198,1),(202,1),(217,1),(225,1),(272,1),(287,1),(310,1)}
        91:{1,3,5,6}:{(62,1),(63,1),(64,1),(119,1),(124,1),(125,1),(281,1)}
        92:{2,4,5,6}:{(63,1),(120,1),(124,1),(125,1),(205,1)}
        93:{2,4,6}:{(64,1),(65,1),(124,1),(127,1)}
        94:{1,2,4,5,7}:{(65,1),(126,1),(128,1),(141,1),(197,1),(210,1),(211,1),(267,1),(274,1),(275,1),(279,1),(304,1),(308,1)}
        95:{2,3,5,7}:{(65,1),(127,1),(128,1),(129,1),(142,1),(209,1),(212,1)}
        96:{2,3,4,7}:{(66,1),(71,1),(130,1),(145,1),(199,1),(214,1),(276,1)}
        97:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(130,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(69,1),(73,1),(76,1),(120,1),(131,1),(132,1),(136,1),(143,1),(197,1),(211,1),(214,1),(217,1),(226,1),(267,1),(279,1),(285,1),(304,1),(308,1)}
        99:{2,6,7}:{(68,1),(131,1)}
       100:{1,3,6,7}:{(69,1),(78,1),(122,1),(132,1),(134,1),(309,1),(310,1),(314,1)}
       101:{1,4,6,7}:{(70,1),(79,1),(123,1),(136,1),(226,1),(267,1),(286,1),(305,1)}
       102:{1,3,4,6}:{(71,1),(72,1),(74,1),(130,1),(137,1),(219,1),(221,1)}
       103:{2,5,6}:{(72,1),(131,1),(137,1)}
       104:{1,3,5,6}:{(73,1),(81,1),(125,1),(132,1),(139,1),(140,1),(219,1),(283,1),(288,1),(307,1),(309,1),(310,1),(314,1)}
       105:{2,4,5}:{(74,1),(137,1),(142,1)}
       106:{2,5,7}:{(75,1),(77,1),(80,1)}
       107:{3,5,7}:{(76,1),(78,1),(81,1),(145,1)}
       108:{1,2,4,6,7}:{(77,1),(82,1),(133,1),(143,1),(146,1),(211,1),(216,1),(226,1),(229,1)}
       109:{2,3,6,7}:{(77,1),(78,1),(83,1),(144,1),(146,1),(212,1)}
       110:{3,4,6,7}:{(78,1),(79,1),(145,1),(148,1),(228,1),(303,1),(314,1)}
       111:{2,4,5,7}:{(79,1),(136,1),(148,1),(149,1),(217,1)}
       112:{1,2,5,6}:{(80,1),(82,1),(143,1),(150,1),(234,1),(281,1),(287,1)}
       113:{2,3,5,6}:{(80,1),(81,1),(83,1),(144,1),(150,1),(151,1),(155,1)}
       114:{3,4,6}:{(81,1),(145,1),(151,1),(152,1)}
       115:{1,3,6}:{(82,1),(83,1),(84,1),(153,1),(310,1)}
       116:{2,3,4,6}:{(83,1),(85,1),(151,1),(154,1),(155,1)}
       117:{2,3,5,7}:{(84,1),(153,1),(156,1),(223,1),(234,1),(276,1),(308,1)}
       118:{1,3,4,7}:{(84,1),(85,1),(154,1),(156,1),(224,1),(226,1),(284,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(157,1),(158,1),(252,1)}
       120:{2,4,5,7}:{(87,1),(89,1),(92,1),(157,1),(158,1),(236,1)}
       121:{2,4,6,7}:{(88,1),(93,1),(99,1),(157,1),(160,1),(170,1),(236,1)}
       122:{3,6,7}:{(89,1),(158,1)}
       123:{2,4,6,7}:{(90,1),(101,1),(161,1),(162,1),(236,1),(259,1),(291,1),(302,1)}
       124:{2,5,6}:{(91,1),(93,1),(157,1)}
       125:{3,5,6}:{(92,1),(158,1),(165,1)}
       126:{1,2,4,6}:{(93,1),(94,1),(163,1),(166,1),(243,1),(245,1),(299,1),(312,1),(313,1)}
       127:{2,3,6}:{(93,1),(95,1),(166,1)}
       128:{1,3,5,7}:{(94,1),(95,1),(166,1),(168,1),(169,1),(183,1),(246,1),(247,1),(311,1)}
       129:{2,3,4,7}:{(95,1),(167,1),(169,1),(184,1),(236,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(102,1),(170,1),(247,1),(249,1)}
       131:{2,5,7}:{(97,1),(99,1),(103,1),(170,1)}
       132:{1,3,5,7}:{(98,1),(100,1),(104,1),(107,1),(158,1),(172,1),(173,1),(247,1),(301,1),(311,1)}
       133:{1,2,6,7}:{(99,1),(171,1),(174,1),(313,1)}
       134:{2,3,6,7}:{(99,1),(100,1),(172,1),(174,1),(175,1),(298,1),(313,1)}
       135:{1,3,4,6,7}:{(100,1),(101,1),(110,1),(161,1),(173,1),(175,1),(176,1),(251,1)}
       136:{1,4,5,7}:{(101,1),(111,1),(162,1),(176,1),(177,1),(252,1)}
       137:{2,4,6}:{(102,1),(103,1),(105,1),(170,1),(179,1)}
       138:{1,2,5,6}:{(103,1),(171,1),(178,1),(180,1),(300,1),(313,1)}
       139:{2,3,5,6}:{(103,1),(104,1),(172,1),(179,1),(180,1),(181,1),(253,1),(254,1),(256,1),(298,1),(300,1),(313,1)}
       140:{1,3,4,6}:{(104,1),(114,1),(165,1),(173,1),(181,1),(182,1),(193,1),(243,1),(264,1),(294,1)}
       141:{1,2,4,5}:{(105,1),(178,1),(183,1),(257,1),(258,1),(300,1)}
       142:{2,3,5}:{(105,1),(179,1),(183,1),(184,1)}
       143:{1,2,5,7}:{(106,1),(108,1),(112,1),(185,1),(252,1),(262,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(109,1),(113,1),(185,1),(186,1)}
       145:{3,4,7}:{(107,1),(114,1),(186,1)}
       146:{1,3,6,7}:{(108,1),(109,1),(115,1),(185,1),(188,1),(247,1)}
       147:{2,3,4,6,7}:{(109,1),(110,1),(116,1),(175,1),(186,1),(189,1),(190,1),(248,1),(261,1),(298,1)}
       148:{3,5,7}:{(110,1),(111,1),(191,1)}
       149:{2,4,5,6}:{(111,1),(177,1),(191,1),(253,1),(261,1),(312,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(115,1),(185,1),(192,1),(193,1),(196,1)}
       151:{2,4,6}:{(113,1),(114,1),(186,1),(193,1),(194,1)}
       152:{3,4,5}:{(114,1),(194,1)}
       153:{2,3,6}:{(115,1),(117,1),(195,1),(313,1)}
       154:{1,3,4,6}:{(115,1),(116,1),(118,1),(193,1),(195,1),(196,1),(264,1)}
       155:{2,3,5}:{(116,1),(194,1),(196,1)}
       156:{2,4,7}:{(117,1),(118,1),(195,1),(258,1)}
       157:{2,5,7}:{(119,1),(121,1),(124,1)}
       158:{3,5,7}:{(120,1),(122,1),(125,1),(199,1)}
       159:{1,2,4,6,7}:{(121,1),(126,1),(133,1),(197,1),(200,1),(211,1),(216,1),(267,1),(270,1)}
       160:{2,3,6,7}:{(121,1),(122,1),(127,1),(198,1),(200,1),(212,1)}
       161:{3,4,6,7}:{(122,1),(123,1),(199,1),(202,1),(269,1),(284,1),(310,1)}
       162:{2,4,5,7}:{(123,1),(136,1),(202,1),(203,1),(217,1)}
       163:{1,2,5,6}:{(124,1),(126,1),(197,1),(204,1),(275,1),(281,1),(306,1)}
       164:{2,3,5,6}:{(124,1),(125,1),(127,1),(198,1),(204,1),(205,1),(209,1)}
       165:{3,4,6}:{(125,1),(199,1),(205,1),(206,1)}
       166:{1,3,6}:{(126,1),(127,1),(128,1),(207,1),(314,1)}
       167:{2,3,4,6}:{(127,1),(129,1),(205,1),(208,1),(209,1)}
       168:{2,3,5,7}:{(128,1),(207,1),(210,1),(223,1),(275,1),(276,1),(308,1)}
       169:{1,3,4,7}:{(128,1),(129,1),(208,1),(210,1),(224,1),(267,1),(303,1)}
       170:{2,4,7}:{(130,1),(131,1),(137,1),(212,1)}
       171:{1,2,5,7}:{(131,1),(133,1),(138,1),(211,1),(213,1),(308,1)}
       172:{2,3,5,7}:{(131,1),(132,1),(134,1),(139,1),(212,1),(213,1),(214,1),(217,1),(276,1),(308,1)}
       173:{1,3,4,7}:{(132,1),(140,1),(145,1),(199,1),(214,1),(226,1),(267,1),(284,1),(303,1)}
       174:{1,3,6,7}:{(133,1),(134,1),(213,1),(216,1),(309,1)}
       175:{2,4,6,7}:{(134,1),(135,1),(214,1),(216,1),(217,1),(280,1)}
       176:{1,3,5,7}:{(135,1),(136,1),(148,1),(202,1),(217,1),(218,1)}
       177:{1,4,5,6}:{(136,1),(149,1),(203,1),(218,1),(281,1),(286,1),(305,1)}
       178:{1,2,4,6}:{(137,1),(138,1),(141,1),(211,1),(219,1),(221,1),(282,1)}
       179:{2,3,6}:{(137,1),(142,1),(212,1),(219,1)}
       180:{1,3,5,6}:{(138,1),(139,1),(213,1),(219,1),(221,1),(281,1),(283,1),(309,1)}
       181:{2,4,6}:{(139,1),(140,1),(214,1),(221,1),(222,1)}
       182:{1,3,4,5}:{(140,1),(152,1),(206,1),(222,1),(233,1),(274,1),(283,1),(288,1),(307,1)}
       183:{1,3,5}:{(141,1),(142,1),(219,1),(223,1),(224,1)}
       184:{2,3,4}:{(142,1),(224,1)}
       185:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(225,1),(226,1)}
       186:{2,4,7}:{(144,1),(145,1),(151,1),(226,1)}
       187:{3,4,5,7}:{(145,1),(148,1),(152,1),(227,1),(228,1)}
       188:{2,3,6,7}:{(146,1),(153,1),(225,1),(229,1),(276,1),(310,1)}
       189:{1,3,4,6,7}:{(146,1),(147,1),(154,1),(216,1),(226,1),(229,1),(230,1),(277,1),(284,1),(286,1),(309,1),(310,1)}
       190:{2,3,5,7}:{(147,1),(148,1),(155,1),(217,1),(227,1),(230,1),(231,1)}
       191:{3,5,6}:{(148,1),(149,1),(228,1),(314,1)}
       192:{2,3,5,6}:{(150,1),(153,1),(225,1),(232,1),(234,1),(287,1),(288,1),(310,1)}
       193:{1,4,6}:{(150,1),(151,1),(226,1),(232,1),(233,1)}
       194:{2,4,5}:{(151,1),(152,1),(155,1),(233,1)}
       195:{2,4,6}:{(153,1),(154,1),(156,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(233,1),(234,1),(288,1)}
       197:{1,2,5,7}:{(157,1),(159,1),(163,1),(235,1),(252,1),(292,1)}
       198:{2,3,5,7}:{(157,1),(158,1),(160,1),(164,1),(235,1),(236,1)}
       199:{3,4,7}:{(158,1),(165,1),(236,1)}
       200:{1,3,6,7}:{(159,1),(160,1),(166,1),(235,1),(238,1),(247,1)}
       201:{2,3,4,6,7}:{(160,1),(161,1),(167,1),(175,1),(236,1),(239,1),(240,1),(248,1),(291,1),(298,1)}
       202:{3,5,7}:{(161,1),(162,1),(241,1)}
       203:{2,4,5,6}:{(162,1),(177,1),(241,1),(253,1),(291,1),(302,1)}
       204:{1,3,5,6}:{(163,1),(164,1),(166,1),(235,1),(242,1),(243,1),(246,1)}
       205:{2,4,6}:{(164,1),(165,1),(236,1),(243,1),(244,1)}
       206:{3,4,5}:{(165,1),(244,1)}
       207:{2,3,6}:{(166,1),(168,1),(245,1),(313,1)}
       208:{1,3,4,6}:{(166,1),(167,1),(169,1),(243,1),(245,1),(246,1),(294,1)}
       209:{2,3,5}:{(167,1),(244,1),(246,1)}
       210:{2,4,7}:{(168,1),(169,1),(245,1),(258,1)}
       211:{1,2,4,7}:{(170,1),(171,1),(178,1),(247,1),(249,1),(296,1)}
       212:{2,3,7}:{(170,1),(179,1),(247,1)}
       213:{1,3,5,7}:{(171,1),(172,1),(174,1),(180,1),(247,1),(249,1),(252,1)}
       214:{2,4,7}:{(172,1),(173,1),(181,1),(249,1)}
       215:{1,3,4,5,7}:{(173,1),(176,1),(182,1),(187,1),(237,1),(250,1),(251,1),(260,1),(290,1),(297,1),(301,1),(311,1)}
       216:{1,4,6,7}:{(174,1),(175,1),(249,1),(252,1),(299,1)}
       217:{2,5,7}:{(175,1),(176,1),(252,1),(253,1)}
       218:{1,3,5,6}:{(176,1),(177,1),(191,1),(241,1),(251,1),(253,1)}
       219:{1,3,6}:{(178,1),(179,1),(183,1),(247,1),(254,1)}
       220:{2,3,4,6}:{(179,1),(181,1),(184,1),(248,1),(255,1),(256,1),(264,1),(294,1),(298,1)}
       221:{1,4,6}:{(180,1),(181,1),(249,1),(257,1)}
       222:{2,4,5}:{(181,1),(182,1),(256,1),(257,1),(300,1)}
       223:{2,3,5}:{(183,1),(254,1),(258,1),(300,1)}
       224:{1,3,4}:{(183,1),(184,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(188,1),(192,1),(259,1),(262,1),(301,1)}
       226:{1,4,7}:{(185,1),(186,1),(193,1),(259,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(190,1),(194,1),(260,1),(261,1)}
       228:{3,4,6}:{(187,1),(191,1),(261,1)}
       229:{2,4,6,7}:{(188,1),(189,1),(195,1),(259,1),(262,1),(296,1),(302,1),(313,1)}
       230:{1,3,5,7}:{(189,1),(190,1),(196,1),(252,1),(260,1),(262,1),(263,1),(301,1)}
       231:{2,3,5,6}:{(190,1),(191,1),(253,1),(261,1),(263,1),(298,1)}
       232:{2,4,6}:{(192,1),(193,1),(259,1),(264,1),(265,1)}
       233:{1,4,5}:{(193,1),(194,1),(196,1),(265,1)}
       234:{2,5}:{(195,1),(196,1)}
       235:{1,3,5,7}:{(197,1),(198,1),(200,1),(204,1),(266,1),(267,1)}
       236:{2,4,7}:{(198,1),(199,1),(205,1),(267,1)}
       237:{3,4,5,7}:{(199,1),(202,1),(206,1),(268,1),(269,1)}
       238:{2,3,6,7}:{(200,1),(207,1),(266,1),(270,1),(276,1),(314,1)}
       239:{1,3,4,6,7}:{(200,1),(201,1),(208,1),(216,1),(267,1),(270,1),(271,1),(277,1),(303,1),(305,1),(309,1),(314,1)}
       240:{2,3,5,7}:{(201,1),(202,1),(209,1),(217,1),(268,1),(271,1),(272,1)}
       241:{3,5,6}:{(202,1),(203,1),(269,1),(310,1)}
       242:{2,3,5,6}:{(204,1),(207,1),(266,1),(273,1),(275,1),(306,1),(307,1),(314,1)}
       243:{1,4,6}:{(204,1),(205,1),(267,1),(273,1),(274,1)}
       244:{2,4,5}:{(205,1),(206,1),(209,1),(274,1)}
       245:{2,4,6}:{(207,1),(208,1),(210,1),(275,1)}
       246:{1,3,5}:{(208,1),(209,1),(274,1),(275,1),(307,1)}
       247:{1,3,7}:{(211,1),(212,1),(219,1),(276,1)}
       248:{2,3,4,7}:{(212,1),(214,1),(220,1),(277,1),(278,1),(284,1),(303,1)}
       249:{1,4,7}:{(213,1),(214,1),(221,1)}
       250:{2,4,5,7}:{(214,1),(215,1),(217,1),(222,1),(278,1),(279,1),(280,1),(308,1)}
       251:{1,3,4,6}:{(215,1),(218,1),(228,1),(269,1),(280,1),(286,1),(305,1),(309,1),(310,1),(314,1)}
       252:{1,5,7}:{(216,1),(217,1),(281,1)}
       253:{2,5,6}:{(217,1),(218,1),(280,1),(281,1)}
       254:{2,3,6}:{(219,1),(223,1),(276,1),(282,1)}
       255:{1,3,4,6}:{(219,1),(220,1),(221,1),(224,1),(277,1),(282,1),(283,1),(309,1)}
       256:{2,3,5}:{(220,1),(222,1),(283,1),(288,1),(307,1)}
       257:{1,4,5}:{(221,1),(222,1),(283,1)}
       258:{2,4}:{(223,1),(224,1)}
       259:{2,4,7}:{(225,1),(226,1),(232,1),(284,1)}
       260:{1,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(285,1),(286,1)}
       261:{2,4,6}:{(227,1),(228,1),(231,1),(286,1)}
       262:{2,5,7}:{(229,1),(230,1),(234,1),(287,1)}
       263:{1,3,5,6}:{(230,1),(231,1),(281,1),(286,1),(287,1),(309,1),(310,1)}
       264:{3,4,6}:{(232,1),(284,1),(288,1),(310,1)}
       265:{2,4,5}:{(232,1),(233,1),(234,1),(288,1)}
       266:{2,3,5,7}:{(235,1),(238,1),(242,1),(289,1),(292,1),(311,1)}
       267:{1,4,7}:{(235,1),(236,1),(243,1),(289,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(240,1),(244,1),(290,1),(291,1)}
       269:{3,4,6}:{(237,1),(241,1),(291,1)}
       270:{2,4,6,7}:{(238,1),(239,1),(245,1),(289,1),(292,1),(296,1),(312,1),(313,1)}
       271:{1,3,5,7}:{(239,1),(240,1),(246,1),(252,1),(290,1),(292,1),(293,1),(311,1)}
       272:{2,3,5,6}:{(240,1),(241,1),(253,1),(291,1),(293,1),(298,1)}
       273:{2,4,6}:{(242,1),(243,1),(289,1),(294,1),(295,1)}
       274:{1,4,5}:{(243,1),(244,1),(246,1),(295,1)}
       275:{2,5}:{(245,1),(246,1)}
       276:{2,3,7}:{(247,1),(254,1),(296,1)}
       277:{1,3,4,7}:{(247,1),(248,1),(249,1),(255,1),(296,1),(297,1)}
       278:{2,3,5,7}:{(248,1),(250,1),(256,1),(297,1),(298,1),(301,1),(311,1)}
       279:{1,4,5,7}:{(249,1),(250,1),(252,1),(257,1),(297,1),(299,1)}
       280:{2,4,6}:{(250,1),(251,1),(253,1),(298,1),(299,1),(313,1)}
       281:{1,5,6}:{(252,1),(253,1),(299,1)}
       282:{2,4,6}:{(254,1),(255,1),(258,1),(296,1),(300,1),(313,1)}
       283:{1,3,5}:{(255,1),(256,1),(257,1),(300,1)}
       284:{3,4,7}:{(259,1),(264,1),(301,1)}
       285:{2,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(301,1),(302,1)}
       286:{1,4,6}:{(260,1),(261,1),(263,1),(302,1)}
       287:{2,5,6}:{(262,1),(263,1),(302,1),(313,1)}
       288:{3,5}:{(264,1),(265,1)}
       289:{2,4,7}:{(266,1),(267,1),(273,1),(303,1)}
       290:{1,4,5,7}:{(267,1),(268,1),(271,1),(274,1),(304,1),(305,1)}
       291:{2,4,6}:{(268,1),(269,1),(272,1),(305,1)}
       292:{2,5,7}:{(270,1),(271,1),(275,1),(306,1)}
       293:{1,3,5,6}:{(271,1),(272,1),(281,1),(305,1),(306,1),(309,1),(314,1)}
       294:{3,4,6}:{(273,1),(303,1),(307,1),(314,1)}
       295:{2,4,5}:{(273,1),(274,1),(275,1),(307,1)}
       296:{2,4,7}:{(276,1),(277,1),(282,1),(308,1)}
       297:{1,3,5,7}:{(277,1),(278,1),(279,1),(283,1),(308,1),(309,1)}
       298:{2,3,6}:{(278,1),(280,1),(309,1),(310,1),(314,1)}
       299:{1,4,6}:{(279,1),(280,1),(281,1),(309,1)}
       300:{2,5}:{(282,1),(283,1)}
       301:{3,5,7}:{(284,1),(285,1),(288,1),(310,1)}
       302:{2,4,6}:{(285,1),(286,1),(287,1),(310,1)}
       303:{3,4,7}:{(289,1),(294,1),(311,1)}
       304:{2,4,5,7}:{(289,1),(290,1),(292,1),(295,1),(311,1),(312,1)}
       305:{1,4,6}:{(290,1),(291,1),(293,1),(312,1)}
       306:{2,5,6}:{(292,1),(293,1),(312,1),(313,1)}
       307:{3,5}:{(294,1),(295,1)}
       308:{2,5,7}:{(296,1),(297,1),(300,1),(313,1)}
       309:{1,3,6}:{(297,1),(298,1),(299,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(307,1),(314,1)}
       312:{2,4,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

1956 :   0:{1,3,4,5,7}:{(2,1),(3,1),(16,1),(21,1),(23,1),(68,1),(142,1),(154,1),(155,1),(159,1),(160,1),(219,1),(227,1),(231,1)}
         1:{1,2,4,5,7}:{(5,1),(6,1),(9,1),(32,1),(36,1),(37,1),(48,1),(94,1),(103,1),(104,1),(106,1),(107,1),(183,1),(188,1),(193,1),(197,1),(236,1),(240,1),(250,1),(290,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(9,1),(10,1),(37,1),(44,1),(48,1),(106,1),(113,1),(119,1),(193,1),(197,1)}
         3:{1,3,4,6}:{(0,1),(10,1),(11,1),(49,1),(121,1),(122,1),(181,1),(199,1),(246,1)}
         4:{1,3,4,5,7}:{(13,1),(14,1),(16,1),(56,1),(58,1),(68,1),(142,1),(206,1),(207,1),(211,1),(212,1),(219,1),(262,1),(266,1)}
         5:{1,3,5,7}:{(1,1),(16,1),(17,1),(18,1),(68,1),(146,1),(219,1),(222,1),(227,1),(231,1),(262,1),(266,1)}
         6:{1,2,4,6}:{(1,1),(18,1),(19,1),(25,1),(60,1),(67,1),(72,1),(80,1),(134,1),(161,1),(213,1),(217,1),(302,1)}
         7:{1,3,4,6,7}:{(3,1),(20,1),(21,1),(29,1),(73,1),(86,1),(154,1),(155,1),(227,1)}
         8:{2,3,5,7}:{(2,1),(22,1),(23,1),(24,1),(79,1),(219,1),(227,1),(231,1),(271,1)}
         9:{1,4,5,7}:{(2,1),(23,1),(25,1),(66,1),(75,1),(148,1),(154,1),(159,1)}
        10:{2,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(80,1)}
        11:{1,3,5,6}:{(3,1),(21,1),(26,1),(27,1),(68,1),(84,1)}
        12:{1,3,5,6,7}:{(21,1),(28,1),(29,1),(86,1),(139,1)}
        13:{2,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(37,1),(90,1),(94,1),(106,1),(169,1),(175,1),(236,1),(240,1)}
        14:{1,3,4,6}:{(4,1),(33,1),(34,1),(95,1),(177,1),(178,1),(181,1),(242,1),(246,1)}
        15:{1,2,4,6,7}:{(6,1),(35,1),(36,1),(43,1),(89,1),(99,1),(103,1),(111,1),(167,1),(193,1),(236,1)}
        16:{1,3,4,7}:{(5,1),(37,1),(38,1),(103,1),(186,1),(250,1),(257,1),(285,1)}
        17:{2,3,5,7}:{(5,1),(37,1),(39,1),(40,1),(48,1),(94,1),(106,1),(116,1),(172,1),(196,1),(239,1)}
        18:{1,3,6}:{(5,1),(6,1),(40,1),(199,1),(242,1),(246,1)}
        19:{1,2,5,6}:{(6,1),(36,1),(41,1),(51,1),(97,1),(106,1),(120,1),(176,1),(180,1),(188,1),(294,1)}
        20:{2,4,6,7}:{(7,1),(10,1),(42,1),(43,1),(44,1),(111,1),(113,1),(193,1)}
        21:{1,3,5,7}:{(7,1),(11,1),(44,1),(45,1),(115,1)}
        22:{2,3,4,7}:{(8,1),(37,1),(46,1),(47,1),(113,1),(172,1),(186,1),(249,1),(255,1),(257,1)}
        23:{1,3,5,7}:{(8,1),(9,1),(46,1),(48,1),(49,1),(118,1),(290,1)}
        24:{2,3,6}:{(8,1),(10,1),(49,1),(199,1),(246,1),(289,1)}
        25:{1,4,6}:{(9,1),(10,1),(49,1),(51,1)}
        26:{2,5,6}:{(10,1),(11,1),(44,1),(51,1),(106,1)}
        27:{1,4,5,6}:{(11,1),(45,1),(52,1),(107,1),(121,1),(181,1),(201,1)}
        28:{2,5,6,7}:{(12,1),(44,1),(53,1),(54,1),(180,1)}
        29:{1,4,6,7}:{(12,1),(45,1),(54,1),(181,1),(202,1)}
        30:{1,3,4,6,7}:{(14,1),(55,1),(56,1),(126,1),(127,1),(204,1),(206,1),(207,1),(262,1)}
        31:{2,3,5,7}:{(13,1),(57,1),(58,1),(59,1),(133,1),(219,1),(262,1),(266,1),(271,1)}
        32:{1,4,5,7}:{(13,1),(58,1),(60,1),(66,1),(129,1),(148,1),(206,1),(211,1)}
        33:{2,4,6}:{(13,1),(14,1),(59,1),(60,1),(61,1),(134,1)}
        34:{1,3,5,6}:{(14,1),(56,1),(61,1),(62,1),(68,1),(138,1)}
        35:{1,3,6,7}:{(15,1),(18,1),(64,1),(65,1),(227,1),(262,1),(302,1)}
        36:{1,2,5,7}:{(15,1),(19,1),(65,1),(75,1),(129,1),(141,1),(153,1),(205,1),(303,1)}
        37:{2,4,7}:{(16,1),(17,1),(66,1),(67,1),(230,1),(265,1)}
        38:{1,3,4,6}:{(16,1),(18,1),(67,1),(68,1),(72,1),(152,1)}
        39:{1,3,5,7}:{(17,1),(66,1),(69,1),(70,1),(146,1),(148,1),(222,1)}
        40:{2,3,6}:{(17,1),(18,1),(67,1),(70,1),(80,1),(134,1)}
        41:{1,3,5,6}:{(18,1),(19,1),(65,1),(68,1),(71,1),(72,1),(222,1),(276,1),(277,1),(302,1)}
        42:{2,3,6,7}:{(20,1),(24,1),(73,1),(74,1),(86,1),(164,1),(227,1)}
        43:{1,4,6,7}:{(20,1),(25,1),(73,1),(75,1),(154,1)}
        44:{2,5,7}:{(20,1),(21,1),(26,1),(75,1)}
        45:{1,4,5,7}:{(21,1),(27,1),(29,1),(76,1),(154,1),(229,1)}
        46:{1,3,4,7}:{(22,1),(23,1),(66,1),(77,1),(78,1),(146,1),(154,1),(227,1),(273,1),(278,1)}
        47:{2,3,4,6}:{(22,1),(24,1),(67,1),(78,1),(79,1),(82,1),(152,1),(209,1),(226,1),(233,1),(265,1),(279,1)}
        48:{2,5,7}:{(23,1),(77,1),(80,1),(158,1)}
        49:{1,3,6}:{(23,1),(24,1),(25,1),(80,1),(302,1)}
        50:{2,3,5,6}:{(24,1),(26,1),(74,1),(79,1),(81,1),(82,1),(84,1),(163,1),(233,1)}
        51:{1,5,6}:{(25,1),(26,1),(75,1),(148,1)}
        52:{2,4,5,6}:{(26,1),(27,1),(76,1),(82,1),(83,1),(84,1),(149,1),(161,1),(163,1),(217,1)}
        53:{1,5,6,7}:{(28,1),(75,1),(85,1),(216,1)}
        54:{2,4,6,7}:{(28,1),(29,1),(76,1),(85,1),(86,1),(164,1),(217,1)}
        55:{2,4,6,7}:{(30,1),(33,1),(88,1),(89,1),(90,1),(167,1),(169,1),(236,1)}
        56:{1,3,5,7}:{(30,1),(34,1),(90,1),(91,1),(171,1)}
        57:{2,3,4,7}:{(31,1),(37,1),(92,1),(93,1),(116,1),(169,1),(186,1),(249,1),(283,1),(285,1)}
        58:{1,3,5,7}:{(31,1),(32,1),(92,1),(94,1),(95,1),(174,1),(290,1)}
        59:{2,3,6}:{(31,1),(33,1),(95,1),(242,1),(246,1),(289,1)}
        60:{1,4,6}:{(32,1),(33,1),(95,1),(97,1)}
        61:{2,5,6}:{(33,1),(34,1),(90,1),(97,1),(106,1)}
        62:{1,4,5,6}:{(34,1),(91,1),(98,1),(107,1),(177,1),(181,1),(244,1)}
        63:{1,3,4,6,7}:{(35,1),(38,1),(99,1),(100,1),(103,1),(181,1),(186,1),(246,1)}
        64:{2,3,6,7}:{(35,1),(40,1),(99,1),(101,1),(102,1),(111,1),(167,1),(246,1),(289,1)}
        65:{1,3,5,7}:{(35,1),(36,1),(41,1),(102,1),(103,1),(290,1),(291,1)}
        66:{1,4,7}:{(37,1),(39,1),(105,1),(250,1)}
        67:{2,4,6}:{(37,1),(38,1),(40,1),(105,1),(106,1)}
        68:{1,3,5}:{(38,1),(106,1),(107,1),(190,1)}
        69:{1,2,5,7}:{(39,1),(48,1),(94,1),(104,1),(108,1),(188,1),(290,1)}
        70:{1,3,6}:{(39,1),(40,1),(105,1),(108,1)}
        71:{2,3,5,6}:{(40,1),(41,1),(102,1),(106,1),(109,1),(110,1),(120,1),(176,1),(180,1),(190,1),(196,1),(199,1),(239,1),(242,1),(246,1),(252,1),(253,1),(289,1)}
        72:{1,4,6}:{(41,1),(103,1),(107,1),(110,1),(250,1)}
        73:{1,3,6,7}:{(42,1),(43,1),(49,1),(111,1),(112,1),(202,1)}
        74:{2,3,5,7}:{(42,1),(44,1),(50,1),(112,1),(113,1),(115,1),(195,1),(255,1)}
        75:{1,5,7}:{(43,1),(44,1),(51,1)}
        76:{2,4,5,7}:{(44,1),(45,1),(52,1),(54,1),(113,1),(114,1),(115,1),(193,1),(195,1)}
        77:{2,4,7}:{(46,1),(48,1),(116,1),(117,1),(295,1)}
        78:{1,3,4,6}:{(46,1),(47,1),(49,1),(105,1),(117,1),(118,1),(121,1),(187,1),(199,1),(250,1),(254,1),(257,1),(260,1),(296,1)}
        79:{2,3,5}:{(47,1),(106,1),(118,1),(119,1),(190,1),(252,1)}
        80:{2,6}:{(48,1),(49,1)}
        81:{1,3,5,6}:{(49,1),(50,1),(51,1),(112,1),(118,1),(120,1),(121,1),(199,1),(201,1),(260,1)}
        82:{2,4,6}:{(50,1),(113,1),(119,1),(121,1),(122,1)}
        83:{1,4,5,6}:{(51,1),(52,1),(114,1),(121,1),(123,1),(189,1),(245,1)}
        84:{3,5,6}:{(52,1),(115,1),(122,1),(190,1),(199,1),(246,1)}
        85:{1,4,6,7}:{(53,1),(54,1),(114,1),(124,1),(245,1)}
        86:{3,6,7}:{(54,1),(115,1),(246,1)}
        87:{1,3,5,6,7}:{(56,1),(125,1),(126,1),(139,1),(204,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(127,1),(128,1),(204,1),(261,1),(262,1)}
        89:{1,4,6,7}:{(55,1),(60,1),(127,1),(129,1),(206,1)}
        90:{2,5,7}:{(55,1),(56,1),(61,1),(129,1)}
        91:{1,4,5,7}:{(56,1),(62,1),(126,1),(130,1),(206,1),(264,1)}
        92:{1,3,4,7}:{(57,1),(58,1),(66,1),(131,1),(132,1),(146,1),(206,1),(262,1),(273,1),(298,1)}
        93:{2,3,4,6}:{(57,1),(59,1),(67,1),(132,1),(133,1),(136,1),(152,1),(157,1),(226,1),(230,1),(268,1),(299,1)}
        94:{2,5,7}:{(58,1),(131,1),(134,1),(210,1)}
        95:{1,3,6}:{(58,1),(59,1),(60,1),(134,1),(302,1)}
        96:{2,3,5,6}:{(59,1),(61,1),(128,1),(133,1),(135,1),(136,1),(138,1),(215,1),(268,1)}
        97:{1,5,6}:{(60,1),(61,1),(129,1),(148,1)}
        98:{2,4,5,6}:{(61,1),(62,1),(130,1),(136,1),(137,1),(138,1),(149,1),(213,1),(215,1),(217,1)}
        99:{2,4,6,7}:{(63,1),(64,1),(67,1),(140,1),(141,1),(145,1),(217,1)}
       100:{1,3,5,7}:{(63,1),(68,1),(139,1),(141,1),(142,1),(219,1)}
       101:{1,3,6,7}:{(64,1),(70,1),(140,1),(143,1),(144,1),(270,1)}
       102:{2,3,5,7}:{(64,1),(65,1),(71,1),(141,1),(144,1),(145,1),(153,1),(205,1),(219,1),(227,1),(262,1),(271,1),(272,1)}
       103:{1,4,7}:{(65,1),(72,1),(145,1)}
       104:{1,2,4,7}:{(66,1),(69,1),(77,1),(131,1),(146,1),(147,1),(273,1),(303,1)}
       105:{1,4,6}:{(66,1),(67,1),(70,1),(148,1)}
       106:{2,5}:{(67,1),(68,1),(148,1)}
       107:{1,4,5}:{(68,1),(72,1),(149,1),(276,1)}
       108:{1,2,6}:{(69,1),(70,1),(80,1),(134,1),(302,1)}
       109:{1,3,5,6}:{(70,1),(71,1),(144,1),(148,1),(150,1),(151,1),(216,1),(222,1),(224,1),(225,1),(270,1)}
       110:{2,4,6}:{(71,1),(72,1),(145,1),(149,1),(151,1),(152,1),(230,1),(265,1)}
       111:{2,6,7}:{(73,1),(80,1),(153,1)}
       112:{1,3,5,7}:{(73,1),(74,1),(75,1),(81,1),(153,1),(154,1),(227,1),(229,1),(278,1)}
       113:{2,4,7}:{(74,1),(82,1),(154,1),(155,1)}
       114:{1,4,5,7}:{(75,1),(76,1),(83,1),(85,1),(154,1),(156,1)}
       115:{3,5,7}:{(76,1),(84,1),(86,1),(155,1),(227,1)}
       116:{2,3,7}:{(77,1),(146,1),(157,1),(227,1)}
       117:{2,4,6}:{(77,1),(78,1),(80,1),(157,1),(158,1),(230,1),(281,1),(306,1)}
       118:{1,3,5}:{(78,1),(79,1),(148,1),(158,1),(159,1),(231,1),(276,1)}
       119:{2,4,5}:{(79,1),(82,1),(159,1),(160,1),(265,1)}
       120:{2,5,6}:{(80,1),(81,1),(153,1),(158,1),(161,1),(281,1)}
       121:{1,4,6}:{(81,1),(82,1),(154,1),(159,1),(161,1)}
       122:{3,4,6}:{(82,1),(84,1),(155,1),(160,1)}
       123:{1,3,5,6}:{(83,1),(84,1),(156,1),(162,1),(163,1),(224,1),(270,1)}
       124:{1,3,6,7}:{(85,1),(86,1),(156,1),(164,1),(270,1)}
       125:{2,5,6,7}:{(87,1),(90,1),(165,1),(166,1),(180,1)}
       126:{1,4,6,7}:{(87,1),(91,1),(166,1),(181,1),(282,1)}
       127:{1,3,6,7}:{(88,1),(89,1),(95,1),(167,1),(168,1),(282,1)}
       128:{2,3,5,7}:{(88,1),(90,1),(96,1),(168,1),(169,1),(171,1),(238,1),(283,1)}
       129:{1,5,7}:{(89,1),(90,1),(97,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(98,1),(166,1),(169,1),(170,1),(171,1),(236,1),(238,1)}
       131:{2,4,7}:{(92,1),(94,1),(172,1),(173,1),(307,1)}
       132:{1,3,4,6}:{(92,1),(93,1),(95,1),(105,1),(173,1),(174,1),(177,1),(187,1),(242,1),(250,1),(254,1),(285,1),(288,1),(308,1)}
       133:{2,3,5}:{(93,1),(106,1),(174,1),(175,1),(190,1),(252,1)}
       134:{2,6}:{(94,1),(95,1)}
       135:{1,3,5,6}:{(95,1),(96,1),(97,1),(168,1),(174,1),(176,1),(177,1),(242,1),(244,1),(288,1)}
       136:{2,4,6}:{(96,1),(169,1),(175,1),(177,1),(178,1)}
       137:{1,4,5,6}:{(97,1),(98,1),(170,1),(177,1),(179,1),(189,1),(245,1)}
       138:{3,5,6}:{(98,1),(171,1),(178,1),(190,1),(242,1),(246,1)}
       139:{1,3,5,6}:{(100,1),(180,1),(181,1),(246,1)}
       140:{1,4,6,7}:{(99,1),(101,1),(105,1),(182,1),(185,1),(245,1)}
       141:{2,5,7}:{(99,1),(100,1),(106,1),(180,1),(182,1)}
       142:{1,4,5,7}:{(100,1),(103,1),(107,1),(181,1),(183,1),(290,1)}
       143:{1,2,6,7}:{(101,1),(108,1),(111,1),(167,1),(184,1),(202,1),(282,1),(289,1)}
       144:{1,3,5,7}:{(101,1),(102,1),(109,1),(182,1),(184,1),(185,1),(248,1)}
       145:{2,4,7}:{(102,1),(103,1),(110,1),(185,1),(186,1)}
       146:{1,3,7}:{(104,1),(116,1),(172,1),(187,1)}
       147:{1,2,4,6}:{(104,1),(105,1),(108,1),(117,1),(173,1),(187,1),(188,1),(250,1),(254,1),(294,1),(310,1)}
       148:{1,5}:{(105,1),(106,1)}
       149:{2,4,5}:{(106,1),(107,1),(110,1),(189,1),(190,1),(252,1)}
       150:{1,2,5,6}:{(108,1),(109,1),(120,1),(176,1),(184,1),(188,1),(191,1),(201,1),(244,1),(252,1),(289,1)}
       151:{1,4,6}:{(109,1),(110,1),(185,1),(189,1),(250,1)}
       152:{3,4,6}:{(110,1),(186,1),(190,1),(199,1),(242,1),(246,1),(257,1),(285,1)}
       153:{2,5,7}:{(111,1),(112,1),(120,1),(193,1),(295,1)}
       154:{1,4,7}:{(112,1),(113,1),(121,1),(193,1)}
       155:{3,4,7}:{(113,1),(115,1),(122,1)}
       156:{1,3,5,7}:{(114,1),(115,1),(123,1),(124,1),(194,1),(195,1)}
       157:{2,3,6}:{(116,1),(117,1),(187,1),(196,1),(199,1),(311,1)}
       158:{2,5}:{(117,1),(118,1)}
       159:{1,4,5}:{(118,1),(119,1),(121,1),(197,1),(250,1)}
       160:{3,4,5}:{(119,1),(122,1),(190,1),(285,1)}
       161:{2,4,6}:{(120,1),(121,1),(193,1),(197,1),(199,1)}
       162:{1,3,4,6}:{(121,1),(122,1),(123,1),(194,1),(198,1),(199,1),(200,1),(260,1)}
       163:{2,5,6}:{(123,1),(195,1),(200,1),(201,1),(252,1),(289,1)}
       164:{2,6,7}:{(124,1),(195,1),(202,1),(289,1)}
       165:{1,5,6,7}:{(125,1),(129,1),(203,1),(216,1)}
       166:{2,4,6,7}:{(125,1),(126,1),(130,1),(203,1),(204,1),(217,1),(261,1)}
       167:{2,6,7}:{(127,1),(134,1),(205,1)}
       168:{1,3,5,7}:{(127,1),(128,1),(129,1),(135,1),(205,1),(206,1),(262,1),(264,1),(298,1)}
       169:{2,4,7}:{(128,1),(136,1),(206,1),(207,1)}
       170:{1,4,5,7}:{(129,1),(130,1),(137,1),(203,1),(206,1),(208,1)}
       171:{3,5,7}:{(130,1),(138,1),(204,1),(207,1),(262,1)}
       172:{2,3,7}:{(131,1),(146,1),(209,1),(262,1)}
       173:{2,4,6}:{(131,1),(132,1),(134,1),(209,1),(210,1),(265,1),(301,1),(312,1)}
       174:{1,3,5}:{(132,1),(133,1),(148,1),(210,1),(211,1),(266,1),(276,1)}
       175:{2,4,5}:{(133,1),(136,1),(211,1),(212,1),(230,1)}
       176:{2,5,6}:{(134,1),(135,1),(205,1),(210,1),(213,1),(301,1)}
       177:{1,4,6}:{(135,1),(136,1),(206,1),(211,1),(213,1)}
       178:{3,4,6}:{(136,1),(138,1),(207,1),(212,1)}
       179:{1,3,5,6}:{(137,1),(138,1),(208,1),(214,1),(215,1),(224,1),(270,1)}
       180:{2,5,6}:{(139,1),(141,1),(216,1),(217,1)}
       181:{1,4,6}:{(139,1),(142,1),(217,1),(302,1)}
       182:{1,5,7}:{(140,1),(141,1),(148,1),(216,1)}
       183:{2,4,5,7}:{(141,1),(142,1),(145,1),(149,1),(217,1),(218,1),(219,1),(271,1)}
       184:{1,2,5,7}:{(143,1),(144,1),(150,1),(153,1),(205,1),(220,1),(229,1),(264,1),(271,1)}
       185:{1,4,7}:{(144,1),(145,1),(151,1)}
       186:{3,4,7}:{(145,1),(152,1),(219,1),(227,1),(262,1)}
       187:{1,3,6}:{(146,1),(147,1),(157,1),(209,1),(222,1),(313,1)}
       188:{1,2,5}:{(147,1),(148,1),(158,1),(210,1),(222,1),(276,1)}
       189:{1,4,5}:{(148,1),(149,1),(151,1),(224,1)}
       190:{3,5}:{(149,1),(152,1)}
       191:{1,2,4,6}:{(150,1),(151,1),(161,1),(213,1),(220,1),(223,1),(225,1),(226,1),(234,1),(269,1),(281,1),(301,1)}
       192:{1,3,4,6}:{(151,1),(152,1),(221,1),(224,1),(225,1),(226,1),(270,1),(274,1)}
       193:{2,4,7}:{(153,1),(154,1),(161,1),(227,1)}
       194:{1,3,4,7}:{(154,1),(155,1),(156,1),(162,1),(227,1),(228,1),(278,1)}
       195:{2,5,7}:{(156,1),(163,1),(164,1),(228,1),(229,1)}
       196:{2,3,5}:{(157,1),(158,1),(222,1),(230,1),(231,1)}
       197:{2,4,5}:{(158,1),(159,1),(161,1),(230,1),(231,1)}
       198:{1,3,4,5}:{(159,1),(160,1),(162,1),(224,1),(231,1),(232,1),(274,1),(280,1)}
       199:{3,6}:{(161,1),(227,1),(231,1)}
       200:{2,4,6}:{(162,1),(163,1),(228,1),(232,1),(233,1),(234,1),(281,1)}
       201:{1,5,6}:{(163,1),(229,1),(234,1),(276,1),(302,1)}
       202:{1,6,7}:{(164,1),(229,1),(302,1)}
       203:{1,4,6,7}:{(165,1),(166,1),(170,1),(235,1),(245,1)}
       204:{3,6,7}:{(166,1),(171,1),(246,1)}
       205:{2,5,7}:{(167,1),(168,1),(176,1),(236,1),(307,1)}
       206:{1,4,7}:{(168,1),(169,1),(177,1),(236,1)}
       207:{3,4,7}:{(169,1),(171,1),(178,1)}
       208:{1,3,5,7}:{(170,1),(171,1),(179,1),(235,1),(237,1),(238,1)}
       209:{2,3,6}:{(172,1),(173,1),(187,1),(239,1),(242,1),(314,1)}
       210:{2,5}:{(173,1),(174,1)}
       211:{1,4,5}:{(174,1),(175,1),(177,1),(240,1),(250,1)}
       212:{3,4,5}:{(175,1),(178,1),(190,1),(257,1)}
       213:{2,4,6}:{(176,1),(177,1),(236,1),(240,1),(242,1)}
       214:{1,3,4,6}:{(177,1),(178,1),(179,1),(237,1),(241,1),(242,1),(243,1),(288,1)}
       215:{2,5,6}:{(179,1),(238,1),(243,1),(244,1),(252,1),(289,1)}
       216:{1,5,6}:{(180,1),(182,1),(245,1)}
       217:{2,4,6}:{(180,1),(181,1),(183,1),(245,1),(246,1),(289,1)}
       218:{1,4,5,7}:{(182,1),(183,1),(185,1),(189,1),(245,1),(247,1)}
       219:{3,5,7}:{(183,1),(186,1),(190,1),(246,1)}
       220:{1,2,4,7}:{(184,1),(185,1),(191,1),(193,1),(236,1),(248,1),(249,1),(256,1),(284,1),(295,1),(307,1)}
       221:{1,3,4,7}:{(185,1),(186,1),(192,1),(247,1),(248,1),(249,1)}
       222:{1,3,5}:{(187,1),(188,1),(196,1),(239,1),(250,1)}
       223:{1,2,4,5}:{(188,1),(189,1),(191,1),(197,1),(240,1),(250,1),(251,1),(252,1),(259,1),(287,1),(292,1),(297,1),(309,1),(310,1)}
       224:{1,3,5}:{(189,1),(190,1),(192,1),(252,1)}
       225:{1,3,6}:{(191,1),(199,1),(242,1),(248,1),(251,1),(253,1)}
       226:{2,4,6}:{(192,1),(249,1),(252,1),(253,1),(254,1),(289,1),(292,1)}
       227:{3,7}:{(193,1),(199,1)}
       228:{2,4,7}:{(194,1),(195,1),(200,1),(255,1),(256,1),(295,1)}
       229:{1,5,7}:{(195,1),(201,1),(202,1),(256,1)}
       230:{2,4}:{(196,1),(250,1),(257,1)}
       231:{3,5}:{(197,1),(199,1),(257,1)}
       232:{2,4,5}:{(198,1),(200,1),(252,1),(258,1),(259,1),(292,1),(297,1)}
       233:{2,3,6}:{(199,1),(200,1),(255,1),(258,1),(260,1)}
       234:{1,4,6}:{(200,1),(201,1),(256,1),(259,1),(260,1)}
       235:{1,3,6,7}:{(203,1),(204,1),(208,1),(261,1),(270,1)}
       236:{2,4,7}:{(205,1),(206,1),(213,1),(262,1)}
       237:{1,3,4,7}:{(206,1),(207,1),(208,1),(214,1),(262,1),(263,1),(298,1)}
       238:{2,5,7}:{(208,1),(215,1),(261,1),(263,1),(264,1)}
       239:{2,3,5}:{(209,1),(210,1),(222,1),(265,1),(266,1)}
       240:{2,4,5}:{(210,1),(211,1),(213,1),(265,1),(266,1)}
       241:{1,3,4,5}:{(211,1),(212,1),(214,1),(224,1),(266,1),(267,1),(274,1),(300,1)}
       242:{3,6}:{(213,1),(262,1),(266,1)}
       243:{2,4,6}:{(214,1),(215,1),(263,1),(267,1),(268,1),(269,1),(301,1)}
       244:{1,5,6}:{(215,1),(264,1),(269,1),(276,1),(302,1)}
       245:{1,4,6}:{(216,1),(217,1),(218,1),(270,1)}
       246:{3,6}:{(217,1),(219,1)}
       247:{1,3,5,7}:{(218,1),(219,1),(221,1),(224,1),(270,1),(271,1)}
       248:{1,3,7}:{(220,1),(225,1),(227,1),(262,1),(272,1)}
       249:{2,4,7}:{(221,1),(226,1),(271,1),(272,1),(273,1)}
       250:{1,4}:{(222,1),(230,1),(265,1)}
       251:{1,3,5}:{(223,1),(225,1),(231,1),(266,1),(274,1),(275,1),(313,1)}
       252:{2,5}:{(224,1),(226,1),(276,1)}
       253:{2,3,6}:{(225,1),(226,1),(272,1),(275,1),(277,1),(281,1),(301,1)}
       254:{1,4,6}:{(226,1),(273,1),(276,1),(277,1),(302,1),(304,1)}
       255:{2,3,7}:{(227,1),(228,1),(233,1),(278,1)}
       256:{1,4,7}:{(228,1),(229,1),(234,1),(278,1)}
       257:{3,4}:{(230,1),(231,1)}
       258:{2,3,5}:{(231,1),(232,1),(233,1),(279,1),(280,1)}
       259:{1,4,5}:{(232,1),(234,1),(276,1),(280,1),(304,1)}
       260:{1,3,6}:{(233,1),(234,1),(278,1),(280,1),(281,1)}
       261:{2,6,7}:{(235,1),(238,1),(282,1),(289,1)}
       262:{3,7}:{(236,1),(242,1)}
       263:{2,4,7}:{(237,1),(238,1),(243,1),(283,1),(284,1),(307,1)}
       264:{1,5,7}:{(238,1),(244,1),(282,1),(284,1)}
       265:{2,4}:{(239,1),(250,1),(285,1)}
       266:{3,5}:{(240,1),(242,1),(285,1)}
       267:{2,4,5}:{(241,1),(243,1),(252,1),(286,1),(287,1),(292,1),(309,1)}
       268:{2,3,6}:{(242,1),(243,1),(283,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(244,1),(284,1),(287,1),(288,1)}
       270:{1,3,6}:{(245,1),(246,1),(247,1),(289,1)}
       271:{2,5,7}:{(247,1),(249,1),(252,1),(289,1),(290,1)}
       272:{2,3,7}:{(248,1),(249,1),(253,1),(291,1),(295,1),(307,1)}
       273:{1,4,7}:{(249,1),(254,1),(290,1),(291,1)}
       274:{1,3,4}:{(250,1),(251,1),(257,1),(285,1),(292,1)}
       275:{2,3,5}:{(251,1),(252,1),(253,1),(292,1),(293,1),(297,1),(309,1),(311,1),(314,1)}
       276:{1,5}:{(252,1),(254,1)}
       277:{1,3,6}:{(253,1),(254,1),(291,1),(293,1),(294,1)}
       278:{1,3,7}:{(255,1),(256,1),(260,1),(295,1)}
       279:{2,3,4}:{(257,1),(258,1),(292,1),(296,1),(314,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(296,1),(297,1)}
       281:{2,6}:{(260,1),(295,1),(297,1)}
       282:{1,6,7}:{(261,1),(264,1),(302,1)}
       283:{2,3,7}:{(262,1),(263,1),(268,1),(298,1)}
       284:{1,4,7}:{(263,1),(264,1),(269,1),(298,1)}
       285:{3,4}:{(265,1),(266,1)}
       286:{2,3,5}:{(266,1),(267,1),(268,1),(299,1),(300,1)}
       287:{1,4,5}:{(267,1),(269,1),(276,1),(300,1),(304,1)}
       288:{1,3,6}:{(268,1),(269,1),(298,1),(300,1),(301,1)}
       289:{2,6}:{(270,1),(271,1),(302,1)}
       290:{1,5,7}:{(271,1),(273,1),(276,1),(302,1)}
       291:{1,3,7}:{(272,1),(273,1),(277,1),(303,1)}
       292:{2,4}:{(274,1),(275,1),(304,1)}
       293:{1,3,5}:{(275,1),(276,1),(277,1),(304,1),(305,1),(313,1)}
       294:{1,2,6}:{(277,1),(281,1),(301,1),(303,1),(305,1)}
       295:{2,7}:{(278,1),(281,1)}
       296:{1,3,4}:{(279,1),(280,1),(304,1),(306,1),(313,1)}
       297:{2,5}:{(280,1),(281,1),(306,1)}
       298:{1,3,7}:{(283,1),(284,1),(288,1),(307,1)}
       299:{2,3,4}:{(285,1),(286,1),(292,1),(308,1),(311,1)}
       300:{1,3,5}:{(286,1),(287,1),(288,1),(308,1),(309,1)}
       301:{2,6}:{(288,1),(307,1),(309,1)}
       302:{1,6}:{(289,1),(290,1)}
       303:{1,2,7}:{(291,1),(294,1),(295,1),(307,1)}
       304:{1,4}:{(292,1),(293,1)}
       305:{1,2,5}:{(293,1),(294,1),(297,1),(309,1),(310,1)}
       306:{2,4}:{(296,1),(297,1),(311,1)}
       307:{2,7}:{(298,1),(301,1)}
       308:{1,3,4}:{(299,1),(300,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(300,1),(301,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

1957 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(40,1),(135,1),(142,1),(144,1),(149,1),(197,1),(200,1),(212,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(21,1),(23,1),(107,1),(111,1),(116,1),(119,1),(174,1),(181,1),(228,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(115,1),(224,1),(227,1),(238,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(17,1),(77,1),(99,1),(135,1),(142,1),(153,1),(156,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(37,1),(82,1),(90,1),(205,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(42,1),(88,1),(91,1),(253,1)}
         6:{2,3,5,6}:{(2,1),(10,1),(14,1),(15,1),(213,1),(216,1)}
         7:{2,3,5,6,7}:{(10,1),(16,1),(17,1),(19,1),(53,1),(99,1)}
         8:{2,4,5,6,7}:{(17,1),(18,1),(19,1),(53,1),(152,1),(164,1)}
         9:{1,3,4,6,7}:{(3,1),(5,1),(20,1),(21,1),(31,1),(54,1),(72,1),(107,1),(111,1),(129,1),(174,1),(188,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(21,1),(22,1),(184,1),(187,1)}
        11:{1,2,4,5,7}:{(4,1),(23,1),(24,1),(55,1),(60,1),(107,1),(114,1),(116,1),(166,1),(228,1),(229,1),(235,1),(273,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(65,1),(232,1),(237,1)}
        13:{2,4,6}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(21,1),(27,1),(28,1),(67,1),(243,1)}
        15:{2,4,5,6}:{(6,1),(22,1),(28,1),(29,1),(115,1)}
        16:{1,3,5,6,7}:{(7,1),(21,1),(30,1),(31,1),(72,1),(76,1),(129,1)}
        17:{2,4,6,7}:{(7,1),(22,1),(31,1),(32,1)}
        18:{1,4,5,6,7}:{(8,1),(31,1),(33,1),(34,1),(76,1),(123,1),(132,1)}
        19:{3,5,6,7}:{(8,1),(32,1),(184,1),(195,1)}
        20:{2,4,6,7}:{(9,1),(13,1),(36,1),(37,1),(82,1),(161,1),(205,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(14,1),(37,1),(38,1),(83,1),(217,1)}
        22:{2,4,5,7}:{(10,1),(15,1),(17,1),(38,1),(39,1),(135,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(40,1),(41,1),(42,1),(87,1),(197,1),(255,1),(260,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(42,1),(43,1),(85,1),(88,1),(196,1),(253,1),(289,1)}
        25:{2,3,4,7}:{(12,1),(41,1),(44,1),(82,1),(261,1)}
        26:{2,3,6}:{(12,1),(13,1),(42,1)}
        27:{2,5,6}:{(13,1),(14,1),(37,1)}
        28:{1,4,5,6}:{(14,1),(15,1),(38,1),(46,1),(88,1)}
        29:{3,4,5,6}:{(15,1),(39,1),(145,1),(213,1)}
        30:{2,5,6,7}:{(16,1),(37,1),(50,1),(161,1)}
        31:{1,4,6,7}:{(16,1),(17,1),(38,1),(50,1)}
        32:{3,4,6,7}:{(17,1),(19,1),(39,1)}
        33:{2,4,5,6,7}:{(18,1),(50,1),(52,1),(53,1),(97,1),(102,1)}
        34:{1,3,5,6,7}:{(18,1),(19,1),(51,1),(52,1),(53,1),(155,1)}
        35:{1,2,4,6,7}:{(20,1),(24,1),(54,1),(55,1),(104,1),(107,1),(188,1),(189,1),(229,1)}
        36:{2,3,6,7}:{(20,1),(26,1),(54,1),(57,1),(72,1),(232,1)}
        37:{2,5,7}:{(20,1),(21,1),(27,1)}
        38:{1,4,5,7}:{(21,1),(22,1),(28,1),(31,1),(58,1),(107,1)}
        39:{3,4,5,7}:{(22,1),(29,1),(32,1),(167,1),(184,1)}
        40:{2,3,5,7}:{(23,1),(60,1),(61,1),(114,1),(273,1),(274,1),(279,1)}
        41:{1,3,4,7}:{(23,1),(25,1),(60,1),(62,1),(107,1),(167,1),(280,1)}
        42:{1,3,6}:{(23,1),(24,1),(26,1),(61,1),(224,1)}
        43:{1,2,5,6}:{(24,1),(27,1),(55,1),(63,1),(114,1),(165,1),(243,1)}
        44:{2,3,4,6}:{(25,1),(26,1),(62,1),(65,1),(66,1)}
        45:{2,3,5,6}:{(26,1),(27,1),(57,1),(63,1),(65,1),(66,1),(67,1)}
        46:{2,4,5,6}:{(27,1),(28,1),(58,1),(66,1),(67,1)}
        47:{1,3,4,5,6}:{(28,1),(29,1),(59,1),(67,1),(68,1),(117,1),(121,1),(130,1),(186,1),(193,1),(248,1)}
        48:{1,2,5,6,7}:{(30,1),(55,1),(69,1),(70,1),(76,1),(133,1),(165,1),(187,1),(189,1),(243,1),(244,1),(283,1)}
        49:{2,3,5,6,7}:{(30,1),(57,1),(69,1),(71,1),(72,1),(109,1),(125,1),(127,1),(187,1),(283,1),(284,1),(305,1)}
        50:{2,4,6,7}:{(30,1),(31,1),(58,1),(72,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(59,1),(72,1),(73,1),(74,1),(129,1),(132,1),(195,1)}
        52:{3,5,6,7}:{(33,1),(72,1),(74,1),(127,1)}
        53:{2,5,6,7}:{(34,1),(73,1),(76,1),(187,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(42,1),(77,1),(79,1),(255,1)}
        55:{1,2,5,7}:{(35,1),(37,1),(43,1),(79,1),(134,1),(217,1)}
        56:{2,3,4,6,7}:{(36,1),(44,1),(78,1),(81,1),(82,1),(98,1),(140,1),(156,1),(198,1),(250,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(45,1),(79,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(46,1),(50,1),(82,1),(83,1)}
        59:{1,3,4,5,7}:{(38,1),(39,1),(47,1),(51,1),(83,1),(84,1),(101,1),(138,1),(143,1),(155,1),(163,1),(223,1)}
        60:{2,4,7}:{(40,1),(41,1),(85,1),(294,1)}
        61:{2,3,6}:{(40,1),(42,1),(85,1),(289,1)}
        62:{1,3,4,6}:{(41,1),(42,1),(44,1),(85,1),(87,1),(88,1),(145,1)}
        63:{1,3,5,6}:{(42,1),(43,1),(45,1),(79,1),(86,1),(87,1),(88,1)}
        64:{1,2,4,5,6}:{(43,1),(46,1),(80,1),(88,1),(89,1),(93,1),(144,1),(147,1),(151,1),(154,1),(196,1),(208,1),(209,1),(216,1),(222,1),(253,1),(258,1),(267,1),(289,1),(295,1),(299,1),(312,1)}
        65:{2,3,5}:{(44,1),(87,1),(90,1)}
        66:{2,4,6}:{(45,1),(82,1),(88,1),(90,1),(91,1)}
        67:{3,5,6}:{(46,1),(83,1),(91,1)}
        68:{2,4,5,6}:{(47,1),(84,1),(92,1),(93,1),(147,1),(151,1),(216,1)}
        69:{1,3,5,6,7}:{(48,1),(49,1),(79,1),(94,1),(95,1),(96,1),(136,1),(155,1),(157,1),(217,1),(264,1),(268,1)}
        70:{1,2,4,6,7}:{(48,1),(50,1),(80,1),(95,1),(96,1),(100,1),(156,1),(161,1),(164,1),(196,1),(253,1),(289,1),(295,1)}
        71:{2,4,6,7}:{(49,1),(82,1),(95,1),(97,1),(98,1),(140,1),(295,1),(298,1)}
        72:{3,6,7}:{(50,1),(83,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(84,1),(99,1),(100,1),(161,1)}
        74:{3,4,6,7}:{(52,1),(101,1),(102,1)}
        75:{2,3,5,6,7}:{(52,1),(53,1),(99,1),(102,1),(103,1),(159,1)}
        76:{1,5,6,7}:{(53,1),(100,1),(217,1)}
        77:{2,3,6,7}:{(54,1),(61,1),(104,1),(105,1),(224,1),(274,1)}
        78:{1,3,4,6,7}:{(54,1),(56,1),(62,1),(104,1),(106,1),(107,1),(167,1),(168,1),(188,1),(224,1),(226,1),(272,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(105,1),(107,1)}
        80:{1,2,4,5,7}:{(55,1),(58,1),(64,1),(70,1),(107,1),(108,1),(113,1),(123,1),(166,1),(170,1),(175,1),(187,1),(194,1),(228,1),(229,1),(244,1),(273,1),(282,1),(286,1)}
        81:{2,3,5,7}:{(56,1),(65,1),(106,1),(109,1),(110,1),(127,1),(187,1)}
        82:{2,4,7}:{(57,1),(66,1),(107,1),(111,1)}
        83:{3,5,7}:{(58,1),(67,1),(72,1),(111,1)}
        84:{2,4,5,7}:{(59,1),(68,1),(73,1),(112,1),(113,1),(170,1),(175,1),(187,1)}
        85:{2,4,6}:{(60,1),(61,1),(62,1),(114,1)}
        86:{2,3,5,6}:{(61,1),(63,1),(105,1),(114,1),(115,1),(165,1),(176,1),(224,1)}
        87:{1,3,5}:{(62,1),(65,1),(114,1),(116,1),(176,1)}
        88:{1,4,6}:{(63,1),(66,1),(107,1),(115,1),(116,1)}
        89:{1,3,5,6}:{(64,1),(67,1),(108,1),(117,1),(118,1),(176,1),(224,1),(233,1),(236,1),(248,1),(272,1),(305,1),(314,1)}
        90:{2,4,5}:{(65,1),(66,1),(116,1),(119,1)}
        91:{3,4,6}:{(66,1),(67,1),(111,1),(119,1)}
        92:{2,3,5,6}:{(67,1),(68,1),(112,1),(120,1),(121,1),(248,1)}
        93:{1,4,5,6}:{(68,1),(113,1),(121,1),(179,1),(243,1)}
        94:{2,3,5,6,7}:{(69,1),(105,1),(122,1),(125,1),(133,1),(165,1),(184,1),(187,1),(195,1),(224,1),(240,1),(247,1)}
        95:{1,4,6,7}:{(69,1),(71,1),(107,1),(122,1),(123,1),(168,1),(281,1),(286,1)}
        96:{1,3,6,7}:{(70,1),(72,1),(108,1),(125,1),(195,1),(224,1),(272,1),(305,1)}
        97:{2,4,5,7}:{(71,1),(123,1),(126,1),(127,1),(187,1)}
        98:{3,4,6,7}:{(71,1),(72,1),(111,1),(127,1),(172,1),(305,1),(306,1)}
        99:{2,3,6,7}:{(72,1),(73,1),(112,1),(129,1),(195,1)}
       100:{1,4,6,7}:{(73,1),(76,1),(113,1),(129,1)}
       101:{3,4,5,7}:{(74,1),(127,1),(130,1),(131,1),(306,1)}
       102:{2,4,6,7}:{(74,1),(75,1),(131,1),(132,1)}
       103:{1,3,5,6,7}:{(75,1),(76,1),(129,1),(132,1),(133,1),(191,1),(195,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(85,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(86,1),(134,1),(135,1),(197,1)}
       106:{1,3,5,7}:{(78,1),(81,1),(87,1),(134,1),(136,1),(137,1),(197,1),(217,1)}
       107:{1,4,7}:{(79,1),(82,1),(88,1),(135,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(89,1),(96,1),(138,1),(139,1),(197,1),(223,1),(255,1),(296,1)}
       109:{2,3,5,6}:{(81,1),(136,1),(140,1),(158,1),(216,1),(250,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(90,1),(137,1),(140,1),(141,1)}
       111:{3,4,7}:{(82,1),(83,1),(91,1)}
       112:{2,3,5,7}:{(83,1),(84,1),(92,1),(99,1),(142,1),(143,1),(223,1)}
       113:{1,4,5,7}:{(84,1),(93,1),(100,1),(143,1),(201,1),(217,1)}
       114:{2,5}:{(85,1),(87,1)}
       115:{2,4,6}:{(86,1),(88,1),(135,1),(144,1),(145,1)}
       116:{1,4,5}:{(87,1),(88,1),(90,1),(144,1)}
       117:{1,3,4,6}:{(88,1),(89,1),(91,1),(138,1),(145,1),(146,1),(147,1),(271,1),(299,1),(311,1)}
       118:{2,3,5,6}:{(89,1),(139,1),(147,1),(148,1),(151,1),(206,1),(211,1),(216,1),(250,1),(258,1),(259,1),(289,1)}
       119:{3,4,5}:{(90,1),(91,1)}
       120:{2,3,4,6}:{(91,1),(92,1),(142,1),(147,1),(149,1),(150,1),(259,1),(271,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(143,1),(150,1),(151,1)}
       122:{2,4,6,7}:{(94,1),(95,1),(135,1),(152,1),(153,1),(196,1),(262,1),(270,1)}
       123:{1,4,5,7}:{(95,1),(97,1),(152,1),(154,1),(155,1),(217,1)}
       124:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(138,1),(153,1),(155,1),(156,1),(199,1)}
       125:{2,3,6,7}:{(96,1),(139,1),(156,1),(157,1),(161,1),(250,1),(289,1)}
       126:{2,4,5,6}:{(97,1),(140,1),(154,1),(158,1),(216,1),(295,1)}
       127:{3,5,7}:{(97,1),(98,1),(158,1)}
       128:{2,3,4,6,7}:{(98,1),(99,1),(102,1),(142,1),(156,1),(159,1),(160,1),(203,1),(266,1),(298,1)}
       129:{1,3,6,7}:{(99,1),(100,1),(143,1),(161,1)}
       130:{3,4,5,6}:{(101,1),(158,1),(162,1),(311,1)}
       131:{2,4,5,7}:{(101,1),(102,1),(159,1),(162,1),(163,1),(298,1)}
       132:{1,4,6,7}:{(102,1),(103,1),(163,1),(164,1)}
       133:{2,5,6,7}:{(103,1),(161,1),(164,1),(220,1)}
       134:{2,5,7}:{(104,1),(106,1),(114,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(115,1),(167,1)}
       136:{1,3,5,6}:{(106,1),(109,1),(165,1),(168,1),(224,1),(243,1),(272,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(110,1),(116,1),(166,1),(168,1)}
       138:{1,3,4,7}:{(107,1),(108,1),(111,1),(117,1),(167,1),(170,1),(249,1),(286,1),(306,1)}
       139:{2,3,5,7}:{(108,1),(118,1),(125,1),(170,1),(171,1),(175,1),(187,1),(232,1),(273,1),(274,1)}
       140:{2,4,6}:{(109,1),(110,1),(168,1),(172,1)}
       141:{3,4,5,7}:{(110,1),(111,1),(119,1),(127,1),(172,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(120,1),(170,1),(174,1),(249,1),(274,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(121,1),(129,1),(174,1),(175,1)}
       144:{2,4,5}:{(114,1),(115,1),(116,1),(176,1)}
       145:{3,4,6}:{(115,1),(167,1),(176,1),(224,1)}
       146:{1,3,4,5}:{(116,1),(117,1),(119,1),(176,1),(178,1),(233,1),(288,1),(308,1),(314,1)}
       147:{2,4,6}:{(117,1),(118,1),(170,1),(178,1),(179,1)}
       148:{1,3,5,6}:{(118,1),(171,1),(179,1),(180,1),(233,1),(236,1),(243,1),(272,1)}
       149:{2,3,4,5}:{(119,1),(120,1),(178,1),(181,1),(279,1),(288,1)}
       150:{1,3,4,6}:{(120,1),(121,1),(174,1),(179,1),(181,1),(182,1),(236,1)}
       151:{2,5,6}:{(121,1),(175,1),(182,1)}
       152:{2,4,5,7}:{(122,1),(123,1),(183,1),(184,1),(187,1)}
       153:{3,4,6,7}:{(122,1),(167,1),(184,1),(195,1),(224,1),(238,1),(249,1)}
       154:{1,4,5,6}:{(123,1),(126,1),(168,1),(183,1),(186,1),(243,1),(281,1)}
       155:{1,3,5,7}:{(123,1),(124,1),(127,1),(184,1),(186,1),(187,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(170,1),(187,1),(188,1),(227,1)}
       157:{1,3,6,7}:{(125,1),(171,1),(188,1),(189,1),(272,1)}
       158:{3,5,6}:{(126,1),(127,1),(172,1),(305,1)}
       159:{2,3,5,7}:{(127,1),(128,1),(131,1),(187,1),(190,1),(191,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(174,1),(188,1),(191,1),(192,1),(195,1),(230,1),(245,1),(249,1),(286,1)}
       161:{2,6,7}:{(129,1),(175,1)}
       162:{2,4,5,6}:{(130,1),(131,1),(190,1),(193,1),(307,1)}
       163:{1,4,5,7}:{(131,1),(132,1),(191,1),(193,1),(194,1),(286,1)}
       164:{2,4,6,7}:{(132,1),(133,1),(194,1),(195,1)}
       165:{2,5,6}:{(134,1),(136,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(144,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(145,1),(197,1)}
       168:{1,4,6}:{(136,1),(137,1),(140,1),(196,1)}
       169:{1,3,4,5,7}:{(137,1),(138,1),(141,1),(146,1),(155,1),(197,1),(199,1),(200,1),(212,1),(251,1),(263,1),(296,1)}
       170:{2,4,7}:{(138,1),(139,1),(147,1),(201,1)}
       171:{1,3,5,7}:{(139,1),(148,1),(157,1),(201,1),(202,1),(217,1),(255,1)}
       172:{3,4,6}:{(140,1),(141,1),(158,1)}
       173:{2,3,4,5,7}:{(141,1),(142,1),(149,1),(159,1),(200,1),(203,1),(204,1),(290,1),(296,1),(298,1),(312,1)}
       174:{1,3,4,7}:{(142,1),(143,1),(150,1),(201,1),(205,1),(255,1)}
       175:{2,5,7}:{(143,1),(151,1),(161,1),(205,1)}
       176:{3,5}:{(144,1),(145,1)}
       177:{2,3,4,6}:{(145,1),(147,1),(198,1),(206,1),(207,1),(211,1),(250,1),(261,1),(311,1)}
       178:{2,4,5}:{(146,1),(147,1),(206,1),(208,1),(258,1)}
       179:{1,4,6}:{(147,1),(148,1),(201,1),(208,1)}
       180:{1,2,5,6}:{(148,1),(151,1),(202,1),(209,1),(258,1),(289,1)}
       181:{1,3,4,5}:{(149,1),(150,1),(208,1),(210,1),(260,1)}
       182:{2,4,6}:{(150,1),(151,1),(205,1),(210,1),(211,1)}
       183:{2,4,5,6}:{(152,1),(154,1),(196,1),(213,1),(216,1),(262,1)}
       184:{3,5,7}:{(152,1),(153,1),(213,1)}
       185:{2,3,4,6,7}:{(153,1),(156,1),(198,1),(214,1),(215,1),(221,1),(250,1),(262,1),(270,1),(293,1)}
       186:{1,3,5,6}:{(154,1),(155,1),(158,1),(199,1),(213,1),(216,1)}
       187:{2,5,7}:{(155,1),(156,1),(216,1),(217,1)}
       188:{1,4,6,7}:{(156,1),(157,1),(201,1),(217,1),(253,1)}
       189:{1,2,6,7}:{(157,1),(161,1),(202,1),(289,1)}
       190:{2,3,5,6}:{(158,1),(159,1),(162,1),(203,1),(216,1),(219,1)}
       191:{1,3,5,7}:{(159,1),(160,1),(163,1),(217,1),(219,1),(220,1),(223,1)}
       192:{2,4,6,7}:{(160,1),(161,1),(205,1),(220,1),(221,1),(256,1),(270,1)}
       193:{1,4,5,6}:{(162,1),(163,1),(219,1),(222,1),(299,1)}
       194:{2,4,5,7}:{(163,1),(164,1),(220,1),(222,1),(223,1),(270,1)}
       195:{3,6,7}:{(164,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(168,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(176,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(170,1),(177,1),(225,1),(226,1),(232,1),(306,1)}
       199:{1,3,4,6}:{(168,1),(169,1),(172,1),(186,1),(224,1),(227,1),(238,1),(272,1),(281,1),(305,1)}
       200:{2,4,5,7}:{(169,1),(170,1),(178,1),(187,1),(225,1),(227,1),(228,1),(273,1)}
       201:{1,4,7}:{(170,1),(171,1),(179,1)}
       202:{1,2,5,7}:{(171,1),(175,1),(180,1),(189,1),(229,1),(273,1)}
       203:{2,3,4,6}:{(172,1),(173,1),(190,1),(227,1),(230,1),(301,1),(305,1),(307,1)}
       204:{1,3,4,5,7}:{(173,1),(174,1),(181,1),(191,1),(228,1),(230,1),(231,1),(249,1),(276,1),(286,1),(288,1),(308,1)}
       205:{2,4,7}:{(174,1),(175,1),(182,1),(232,1)}
       206:{2,3,5}:{(176,1),(177,1),(178,1),(233,1),(314,1)}
       207:{1,3,4,6}:{(177,1),(179,1),(226,1),(233,1),(234,1),(236,1),(272,1),(280,1)}
       208:{1,4,5}:{(178,1),(179,1),(233,1)}
       209:{1,2,4,6}:{(179,1),(180,1),(182,1),(229,1),(234,1),(235,1),(236,1)}
       210:{2,4,5}:{(181,1),(182,1),(237,1)}
       211:{2,3,6}:{(182,1),(232,1),(236,1),(237,1)}
       212:{3,4,5,7}:{(184,1),(238,1),(239,1),(249,1),(288,1)}
       213:{3,5,6}:{(183,1),(184,1),(224,1),(238,1)}
       214:{2,3,5,7}:{(184,1),(185,1),(187,1),(239,1),(240,1),(241,1),(304,1)}
       215:{1,3,4,6,7}:{(185,1),(188,1),(226,1),(241,1),(242,1),(245,1),(272,1),(281,1),(286,1),(303,1),(305,1),(306,1)}
       216:{2,5,6}:{(186,1),(187,1),(227,1),(243,1)}
       217:{1,5,7}:{(187,1),(188,1),(243,1)}
       218:{1,2,4,6,7}:{(188,1),(189,1),(192,1),(229,1),(242,1),(244,1),(245,1),(275,1),(286,1)}
       219:{1,3,5,6}:{(190,1),(191,1),(193,1),(230,1),(243,1),(246,1),(248,1)}
       220:{2,5,7}:{(191,1),(192,1),(246,1)}
       221:{2,3,6,7}:{(192,1),(195,1),(232,1),(245,1),(247,1),(277,1)}
       222:{2,4,5,6}:{(193,1),(194,1),(246,1),(248,1),(287,1)}
       223:{3,5,7}:{(194,1),(195,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(200,1),(206,1),(250,1),(251,1),(296,1)}
       226:{1,3,4,7}:{(198,1),(201,1),(207,1),(251,1),(252,1),(255,1)}
       227:{2,4,6}:{(199,1),(200,1),(216,1),(250,1),(253,1),(289,1)}
       228:{1,4,5,7}:{(200,1),(201,1),(208,1),(217,1),(251,1),(253,1)}
       229:{1,2,4,7}:{(201,1),(202,1),(205,1),(209,1),(252,1),(255,1)}
       230:{1,3,4,6}:{(203,1),(204,1),(219,1),(253,1),(256,1),(271,1),(291,1),(299,1)}
       231:{2,4,5,7}:{(204,1),(205,1),(210,1),(220,1),(256,1),(257,1),(270,1),(300,1)}
       232:{2,3,7}:{(205,1),(211,1),(255,1)}
       233:{1,3,5}:{(206,1),(207,1),(208,1),(258,1)}
       234:{2,4,6}:{(207,1),(252,1),(258,1),(259,1),(289,1),(294,1)}
       235:{1,2,4,5}:{(208,1),(209,1),(210,1),(258,1),(260,1),(294,1)}
       236:{1,3,6}:{(209,1),(211,1),(255,1),(259,1),(260,1)}
       237:{2,3,5}:{(210,1),(211,1),(260,1),(261,1)}
       238:{3,4,6}:{(212,1),(213,1),(262,1)}
       239:{2,4,5,7}:{(212,1),(214,1),(262,1),(263,1),(270,1),(300,1)}
       240:{2,3,5,6}:{(213,1),(214,1),(216,1),(250,1),(262,1),(264,1)}
       241:{1,3,5,7}:{(214,1),(215,1),(217,1),(263,1),(264,1),(265,1),(296,1),(310,1)}
       242:{2,4,6,7}:{(215,1),(252,1),(265,1),(266,1),(289,1),(295,1),(298,1),(309,1)}
       243:{1,5,6}:{(216,1),(217,1),(253,1)}
       244:{1,2,5,7}:{(217,1),(218,1),(220,1),(265,1),(267,1),(268,1)}
       245:{1,3,6,7}:{(218,1),(221,1),(255,1),(266,1),(268,1),(291,1)}
       246:{2,5,6}:{(219,1),(220,1),(256,1)}
       247:{2,3,5,7}:{(220,1),(221,1),(223,1),(268,1),(269,1),(270,1)}
       248:{3,5,6}:{(222,1),(223,1),(271,1)}
       249:{3,4,7}:{(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(227,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(228,1),(233,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(234,1),(273,1),(274,1)}
       253:{1,4,6}:{(227,1),(228,1),(243,1),(272,1)}
       254:{1,2,4,5,7}:{(228,1),(229,1),(231,1),(235,1),(244,1),(273,1),(275,1),(276,1),(282,1),(286,1),(302,1),(308,1),(313,1)}
       255:{1,3,7}:{(229,1),(232,1),(236,1),(274,1)}
       256:{2,4,6}:{(230,1),(231,1),(246,1),(277,1)}
       257:{2,3,5,7}:{(231,1),(232,1),(237,1),(276,1),(277,1),(278,1),(304,1)}
       258:{2,5}:{(233,1),(234,1)}
       259:{2,3,6}:{(234,1),(236,1),(274,1),(279,1)}
       260:{1,3,5}:{(235,1),(236,1),(237,1),(279,1),(280,1)}
       261:{2,3,4}:{(237,1),(280,1)}
       262:{2,4,6}:{(238,1),(239,1),(240,1),(281,1)}
       263:{1,4,5,7}:{(239,1),(241,1),(281,1),(282,1),(286,1),(308,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(243,1),(272,1),(281,1),(283,1),(305,1)}
       265:{2,5,7}:{(241,1),(242,1),(283,1),(313,1)}
       266:{2,3,6,7}:{(242,1),(245,1),(274,1),(284,1),(301,1),(305,1)}
       267:{1,2,5,6}:{(243,1),(244,1),(246,1),(275,1),(283,1),(285,1),(313,1)}
       268:{1,3,5,7}:{(244,1),(245,1),(247,1),(284,1),(285,1),(286,1)}
       269:{2,3,5,6}:{(246,1),(247,1),(248,1),(277,1),(285,1),(287,1),(304,1)}
       270:{2,4,7}:{(247,1),(249,1),(286,1),(287,1)}
       271:{3,4,6}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(253,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(258,1),(289,1)}
       274:{2,3,7}:{(252,1),(255,1),(259,1)}
       275:{1,2,4,6}:{(253,1),(254,1),(256,1),(267,1),(289,1),(291,1),(295,1),(299,1),(309,1)}
       276:{1,3,5,7}:{(254,1),(255,1),(257,1),(260,1),(290,1),(291,1),(292,1),(296,1),(310,1)}
       277:{2,3,6}:{(256,1),(257,1),(291,1)}
       278:{2,3,4,7}:{(257,1),(261,1),(270,1),(292,1),(293,1)}
       279:{2,3,5}:{(258,1),(259,1),(260,1),(294,1)}
       280:{1,3,4}:{(260,1),(261,1),(294,1)}
       281:{1,4,6}:{(262,1),(263,1),(264,1),(295,1)}
       282:{2,4,5,7}:{(263,1),(265,1),(295,1),(296,1),(298,1),(312,1)}
       283:{2,5,6}:{(264,1),(265,1),(289,1),(295,1)}
       284:{2,3,5,7}:{(265,1),(266,1),(268,1),(296,1),(297,1),(298,1)}
       285:{1,3,5,6}:{(267,1),(268,1),(269,1),(291,1),(297,1),(299,1),(310,1)}
       286:{1,4,7}:{(268,1),(270,1),(298,1),(299,1)}
       287:{2,4,6}:{(269,1),(270,1),(271,1),(299,1),(300,1)}
       288:{3,4,5}:{(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(276,1),(279,1),(301,1),(302,1),(313,1)}
       291:{1,3,6}:{(275,1),(276,1),(277,1),(301,1),(305,1)}
       292:{1,3,4,7}:{(276,1),(278,1),(280,1),(286,1),(302,1),(303,1),(306,1)}
       293:{2,3,4,6}:{(277,1),(278,1),(287,1),(303,1),(304,1)}
       294:{2,4}:{(279,1),(280,1)}
       295:{2,4,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{3,5,7}:{(282,1),(305,1),(306,1),(314,1)}
       297:{2,3,5,6}:{(283,1),(284,1),(285,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       298:{2,4,7}:{(284,1),(286,1),(306,1),(307,1)}
       299:{1,4,6}:{(285,1),(286,1),(287,1),(307,1),(308,1)}
       300:{2,4,5}:{(287,1),(288,1),(304,1),(308,1)}
       301:{2,3,6}:{(289,1),(290,1),(291,1),(309,1)}
       302:{2,4,7}:{(290,1),(292,1),(294,1),(309,1)}
       303:{1,3,4,6}:{(291,1),(292,1),(293,1),(299,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(293,1),(300,1),(310,1)}
       305:{3,6}:{(295,1),(296,1)}
       306:{3,4,7}:{(296,1),(298,1),(311,1)}
       307:{2,4,6}:{(297,1),(298,1),(299,1),(311,1),(312,1)}
       308:{1,4,5}:{(299,1),(300,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

1958 :   0:{3,4,5,6}:{(1,1),(2,1),(133,1),(162,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(6,1),(7,1),(113,1),(153,1)}
         2:{3,4,5,7}:{(0,1),(7,1),(8,1),(151,1),(170,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(83,1),(89,1)}
         4:{1,2,3,6}:{(9,1),(12,1),(13,1),(85,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1)}
         6:{1,4,5,6}:{(1,1),(15,1),(17,1),(18,1),(93,1),(139,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(16,1),(18,1),(19,1),(136,1),(165,1)}
         8:{3,4,6,7}:{(2,1),(19,1),(20,1)}
         9:{1,2,3,5}:{(4,1),(21,1),(28,1),(61,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(34,1),(61,1),(68,1)}
        11:{2,3,4,6}:{(3,1),(5,1),(24,1),(25,1),(106,1),(113,1)}
        12:{1,2,3,7}:{(4,1),(27,1),(108,1)}
        13:{1,2,4,6}:{(4,1),(21,1),(26,1),(27,1),(28,1),(71,1)}
        14:{2,3,4,6}:{(22,1),(26,1),(29,1),(30,1),(64,1),(74,1),(75,1)}
        15:{1,3,5,6}:{(5,1),(6,1),(24,1),(31,1),(32,1),(35,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(25,1),(32,1),(33,1)}
        17:{2,4,5,6}:{(6,1),(31,1),(35,1),(36,1),(74,1),(121,1),(124,1)}
        18:{1,4,5,7}:{(6,1),(7,1),(32,1),(36,1),(37,1),(118,1),(156,1)}
        19:{2,4,6,7}:{(7,1),(8,1),(33,1),(37,1),(38,1)}
        20:{3,5,6,7}:{(8,1),(38,1),(39,1),(170,1)}
        21:{1,2,4}:{(9,1),(40,1)}
        22:{2,3,4}:{(40,1),(42,1)}
        23:{2,4,5}:{(10,1),(42,1),(43,1)}
        24:{1,3,4,6}:{(10,1),(11,1),(15,1),(43,1),(44,1),(56,1),(85,1),(93,1)}
        25:{2,3,4,7}:{(11,1),(16,1),(44,1),(128,1),(136,1)}
        26:{1,3,4,6}:{(13,1),(14,1),(40,1),(45,1),(46,1),(47,1),(85,1),(93,1),(94,1)}
        27:{1,2,4,7}:{(12,1),(13,1),(46,1),(48,1)}
        28:{1,2,5}:{(13,1),(47,1)}
        29:{2,3,4,7}:{(14,1),(46,1),(51,1),(88,1),(99,1)}
        30:{2,3,5}:{(14,1),(47,1),(50,1)}
        31:{2,5,6}:{(15,1),(43,1),(53,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(18,1),(44,1),(53,1),(54,1),(57,1)}
        33:{2,3,6,7}:{(16,1),(19,1),(54,1)}
        34:{3,4,5}:{(50,1),(56,1)}
        35:{3,5,6}:{(17,1),(56,1),(57,1)}
        36:{2,4,5,7}:{(17,1),(18,1),(53,1),(57,1),(58,1),(99,1),(142,1),(144,1)}
        37:{1,4,6,7}:{(18,1),(19,1),(54,1),(58,1),(59,1)}
        38:{2,5,6,7}:{(19,1),(20,1),(59,1),(165,1)}
        39:{4,5,6,7}:{(20,1),(173,1)}
        40:{1,3,4}:{(21,1),(22,1),(60,1),(61,1)}
        41:{1,2,4,5}:{(21,1),(23,1),(28,1),(61,1),(62,1),(68,1),(105,1)}
        42:{2,3,5}:{(22,1),(23,1),(61,1),(64,1)}
        43:{2,4,6}:{(23,1),(24,1),(31,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(24,1),(25,1),(32,1),(65,1),(80,1),(108,1),(118,1)}
        45:{2,3,4,6}:{(26,1),(60,1),(66,1),(67,1),(106,1),(113,1),(114,1)}
        46:{1,3,4,7}:{(26,1),(27,1),(29,1),(66,1),(69,1),(108,1),(118,1)}
        47:{1,3,5}:{(26,1),(28,1),(30,1),(67,1),(68,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        49:{1,2,5,6}:{(28,1),(31,1),(62,1),(70,1),(71,1),(72,1),(145,1)}
        50:{2,4,5}:{(30,1),(34,1),(68,1),(74,1)}
        51:{2,3,5,7}:{(29,1),(30,1),(69,1),(73,1),(75,1)}
        52:{2,3,5,6}:{(30,1),(31,1),(35,1),(64,1),(70,1),(74,1),(75,1),(76,1),(121,1)}
        53:{2,5,7}:{(31,1),(32,1),(65,1),(77,1)}
        54:{1,3,6,7}:{(32,1),(33,1),(37,1),(77,1),(81,1)}
        55:{3,4,5,7}:{(34,1),(73,1),(79,1),(80,1),(125,1)}
        56:{3,4,6}:{(34,1),(35,1),(74,1),(80,1)}
        57:{3,5,7}:{(35,1),(36,1),(80,1),(81,1)}
        58:{2,4,6,7}:{(36,1),(37,1),(77,1),(81,1),(82,1),(126,1)}
        59:{1,5,6,7}:{(37,1),(38,1),(82,1),(156,1)}
        60:{2,3,4}:{(40,1),(83,1)}
        61:{1,3,5}:{(40,1),(41,1),(42,1),(83,1),(85,1)}
        62:{1,2,4,6}:{(41,1),(43,1),(49,1),(85,1),(86,1),(93,1),(127,1)}
        63:{2,3,4,5}:{(42,1),(50,1),(84,1),(87,1)}
        64:{2,3,6}:{(42,1),(43,1),(85,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(53,1),(88,1)}
        66:{2,3,4,7}:{(45,1),(46,1),(90,1),(128,1),(136,1)}
        67:{2,3,5}:{(45,1),(47,1),(89,1)}
        68:{1,4,5}:{(47,1),(50,1),(89,1),(93,1)}
        69:{1,3,5,7}:{(46,1),(47,1),(48,1),(51,1),(90,1),(92,1),(94,1)}
        70:{1,3,5,6}:{(47,1),(49,1),(52,1),(85,1),(91,1),(93,1),(94,1),(95,1),(139,1)}
        71:{1,2,6}:{(48,1),(94,1)}
        72:{1,2,5,7}:{(49,1),(53,1),(86,1),(95,1),(96,1),(159,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(55,1),(92,1),(98,1),(99,1),(142,1)}
        74:{2,4,6}:{(50,1),(52,1),(56,1),(93,1),(99,1)}
        75:{2,3,6}:{(51,1),(94,1),(98,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(57,1),(88,1),(95,1),(99,1),(100,1),(142,1)}
        77:{2,6,7}:{(53,1),(54,1)}
        78:{3,4,5,6}:{(56,1),(97,1),(101,1),(102,1)}
        79:{3,4,6}:{(55,1),(98,1),(102,1)}
        80:{3,4,7}:{(56,1),(57,1),(99,1)}
        81:{3,6,7}:{(57,1),(58,1)}
        82:{2,5,6,7}:{(58,1),(59,1),(104,1),(142,1)}
        83:{2,3,5}:{(60,1),(61,1),(105,1),(106,1)}
        84:{1,3,4,5}:{(61,1),(63,1),(68,1),(105,1),(107,1),(111,1)}
        85:{1,3,6}:{(61,1),(62,1),(64,1),(106,1),(108,1)}
        86:{1,2,4,7}:{(62,1),(65,1),(72,1),(108,1),(118,1),(146,1)}
        87:{2,3,4,6}:{(63,1),(64,1),(74,1),(107,1),(109,1),(110,1)}
        88:{2,3,7}:{(64,1),(65,1),(108,1)}
        89:{2,4,5}:{(67,1),(68,1),(111,1),(113,1)}
        90:{2,3,5,7}:{(66,1),(67,1),(69,1),(112,1),(114,1)}
        91:{2,3,5,6}:{(67,1),(70,1),(106,1),(113,1),(114,1),(115,1),(145,1),(149,1),(153,1)}
        92:{1,4,5,7}:{(68,1),(69,1),(73,1),(112,1),(117,1),(118,1),(156,1)}
        93:{1,4,6}:{(68,1),(70,1),(74,1),(113,1),(118,1)}
        94:{1,3,6}:{(69,1),(71,1),(75,1),(114,1),(117,1)}
        95:{1,3,5,7}:{(70,1),(72,1),(76,1),(108,1),(115,1),(118,1),(119,1),(156,1)}
        96:{1,2,6,7}:{(71,1),(72,1),(77,1),(119,1),(167,1)}
        97:{2,4,5,6}:{(74,1),(78,1),(109,1),(116,1),(120,1),(121,1)}
        98:{2,4,6}:{(73,1),(75,1),(79,1),(117,1),(121,1)}
        99:{2,4,7}:{(74,1),(76,1),(80,1),(118,1)}
       100:{2,3,6,7}:{(75,1),(76,1),(77,1),(81,1),(119,1),(122,1)}
       101:{3,4,5,7}:{(78,1),(80,1),(120,1),(123,1),(125,1)}
       102:{3,5,6}:{(79,1),(121,1),(124,1),(125,1)}
       103:{3,4,6,7}:{(79,1),(80,1),(81,1),(122,1),(125,1),(126,1)}
       104:{3,5,6,7}:{(81,1),(82,1),(125,1),(126,1)}
       105:{2,4,5}:{(83,1),(84,1),(127,1)}
       106:{2,3,6}:{(83,1),(85,1),(127,1),(128,1)}
       107:{1,3,4,6}:{(84,1),(85,1),(87,1),(93,1),(127,1),(129,1),(130,1),(133,1)}
       108:{1,3,7}:{(85,1),(86,1),(88,1),(128,1)}
       109:{2,3,5,6}:{(87,1),(97,1),(129,1),(131,1)}
       110:{2,3,4,7}:{(87,1),(88,1),(99,1),(130,1),(131,1)}
       111:{3,4,5}:{(89,1),(133,1)}
       112:{2,4,5,7}:{(89,1),(90,1),(92,1),(132,1),(135,1),(136,1),(165,1)}
       113:{2,4,6}:{(89,1),(91,1),(93,1),(133,1),(136,1)}
       114:{2,3,6}:{(90,1),(94,1),(135,1)}
       115:{2,3,5,7}:{(91,1),(95,1),(128,1),(136,1),(137,1),(159,1),(161,1),(165,1)}
       116:{1,4,5,6}:{(93,1),(97,1),(129,1),(134,1),(138,1),(139,1)}
       117:{1,4,6}:{(92,1),(94,1),(98,1),(135,1),(139,1)}
       118:{1,4,7}:{(93,1),(95,1),(99,1),(136,1)}
       119:{1,3,6,7}:{(94,1),(95,1),(96,1),(100,1),(137,1),(140,1)}
       120:{2,4,5,7}:{(97,1),(99,1),(101,1),(131,1),(138,1),(141,1),(142,1)}
       121:{2,5,6}:{(98,1),(102,1),(139,1),(142,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(100,1),(103,1),(140,1),(142,1)}
       123:{3,4,6,7}:{(101,1),(141,1),(143,1)}
       124:{4,5,6}:{(102,1),(144,1)}
       125:{3,5,7}:{(102,1),(103,1),(142,1),(144,1)}
       126:{4,6,7}:{(104,1),(144,1)}
       127:{2,4,6}:{(105,1),(106,1),(107,1),(145,1),(146,1)}
       128:{2,3,7}:{(106,1),(108,1),(146,1)}
       129:{1,3,5,6}:{(107,1),(109,1),(116,1),(145,1),(147,1),(149,1)}
       130:{1,3,4,7}:{(107,1),(108,1),(110,1),(118,1),(146,1),(147,1),(151,1)}
       131:{2,3,5,7}:{(109,1),(110,1),(120,1),(147,1),(148,1)}
       132:{3,4,5,7}:{(111,1),(112,1),(150,1),(151,1),(170,1)}
       133:{3,4,6}:{(111,1),(113,1),(149,1),(151,1)}
       134:{2,4,5,6}:{(113,1),(116,1),(145,1),(149,1),(152,1),(153,1),(169,1)}
       135:{2,4,6}:{(112,1),(114,1),(117,1),(150,1),(153,1)}
       136:{2,4,7}:{(113,1),(115,1),(118,1),(151,1)}
       137:{2,3,6,7}:{(114,1),(115,1),(119,1),(154,1),(167,1),(168,1)}
       138:{1,4,5,7}:{(116,1),(118,1),(120,1),(147,1),(152,1),(155,1),(156,1)}
       139:{1,5,6}:{(117,1),(121,1),(153,1),(156,1)}
       140:{1,4,6,7}:{(117,1),(118,1),(119,1),(122,1),(154,1),(156,1)}
       141:{2,4,6,7}:{(120,1),(123,1),(148,1),(155,1),(157,1)}
       142:{2,5,7}:{(121,1),(122,1),(125,1),(156,1)}
       143:{3,5,6,7}:{(123,1),(125,1),(157,1),(158,1)}
       144:{4,5,7}:{(124,1),(125,1),(126,1)}
       145:{2,5,6}:{(127,1),(129,1),(159,1)}
       146:{2,4,7}:{(127,1),(128,1),(130,1),(159,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(131,1),(138,1),(159,1),(160,1),(161,1)}
       148:{2,3,6,7}:{(131,1),(141,1),(160,1)}
       149:{3,5,6}:{(133,1),(134,1),(161,1)}
       150:{3,4,6}:{(132,1),(135,1),(162,1)}
       151:{3,4,7}:{(133,1),(136,1),(161,1)}
       152:{2,4,5,7}:{(134,1),(136,1),(138,1),(159,1),(161,1),(164,1),(165,1),(173,1)}
       153:{2,5,6}:{(135,1),(139,1),(162,1),(165,1)}
       154:{2,4,6,7}:{(135,1),(136,1),(137,1),(140,1),(163,1),(165,1)}
       155:{1,4,6,7}:{(138,1),(141,1),(160,1),(164,1),(166,1)}
       156:{1,5,7}:{(139,1),(140,1),(142,1),(165,1)}
       157:{2,5,6,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{4,5,6,7}:{(143,1),(144,1)}
       159:{2,5,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{1,3,6,7}:{(147,1),(148,1),(155,1),(167,1),(168,1)}
       161:{3,5,7}:{(149,1),(151,1),(152,1),(168,1)}
       162:{3,5,6}:{(150,1),(153,1),(169,1),(170,1)}
       163:{3,4,6,7}:{(150,1),(151,1),(154,1),(168,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(155,1),(167,1),(168,1),(171,1),(174,1)}
       165:{2,5,7}:{(153,1),(154,1),(156,1),(170,1)}
       166:{1,5,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       167:{2,6,7}:{(159,1),(160,1)}
       168:{3,6,7}:{(161,1),(164,1)}
       169:{4,5,6}:{(162,1),(173,1)}
       170:{3,5,7}:{(162,1),(163,1),(165,1),(173,1)}
       171:{2,5,6,7}:{(164,1),(165,1),(166,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(170,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

1959 :   0:{3,4,5,6}:{(1,1),(2,1),(90,1),(124,1)}
         1:{3,4,5,7}:{(0,1),(6,1),(7,1),(104,1),(120,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(76,1),(122,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(53,1),(93,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1)}
         5:{4,5,6,7}:{(13,1),(123,1)}
         6:{3,4,6,7}:{(1,1),(13,1),(14,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(92,1),(116,1)}
         8:{1,4,5,6}:{(2,1),(12,1),(15,1),(16,1),(62,1),(118,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(69,1),(76,1)}
        10:{1,3,4,5}:{(3,1),(18,1),(19,1),(40,1),(52,1),(79,1)}
        11:{2,3,5,7}:{(4,1),(7,1),(17,1),(20,1),(21,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(18,1),(21,1),(22,1),(26,1)}
        13:{3,5,6,7}:{(5,1),(6,1),(23,1),(120,1)}
        14:{2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(24,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1),(78,1),(108,1)}
        16:{2,4,5,6}:{(8,1),(22,1),(25,1),(26,1),(48,1),(110,1),(111,1)}
        17:{2,3,4,7}:{(9,1),(11,1),(28,1),(85,1),(92,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(12,1),(28,1),(29,1),(38,1),(55,1),(62,1)}
        19:{2,4,5}:{(10,1),(29,1),(30,1)}
        20:{2,3,6,7}:{(11,1),(14,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(15,1),(28,1),(32,1),(33,1),(37,1)}
        22:{2,5,6}:{(12,1),(29,1),(33,1)}
        23:{2,5,6,7}:{(13,1),(14,1),(35,1),(116,1)}
        24:{1,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(36,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(33,1),(36,1),(37,1),(64,1),(96,1),(98,1)}
        26:{3,5,6}:{(16,1),(37,1),(38,1)}
        27:{1,2,4,5}:{(19,1),(39,1),(40,1),(70,1),(79,1),(101,1)}
        28:{1,3,4,7}:{(17,1),(18,1),(21,1),(41,1),(51,1),(71,1),(78,1)}
        29:{2,4,6}:{(18,1),(19,1),(22,1),(41,1),(42,1)}
        30:{2,3,5}:{(19,1),(40,1),(42,1),(43,1)}
        31:{1,2,5,6}:{(22,1),(39,1),(44,1),(45,1),(101,1),(119,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(24,1),(46,1),(50,1)}
        33:{2,5,7}:{(21,1),(22,1),(41,1),(46,1)}
        34:{2,3,5,6}:{(22,1),(26,1),(42,1),(45,1),(47,1),(48,1),(74,1),(103,1),(110,1)}
        35:{1,5,6,7}:{(23,1),(24,1),(49,1),(108,1)}
        36:{2,4,6,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(82,1)}
        37:{3,5,7}:{(25,1),(26,1),(50,1),(51,1)}
        38:{3,4,6}:{(26,1),(48,1),(51,1),(52,1)}
        39:{1,2,4,6}:{(27,1),(29,1),(31,1),(54,1),(55,1),(62,1),(86,1)}
        40:{1,3,5}:{(27,1),(30,1),(53,1),(55,1),(56,1)}
        41:{2,4,7}:{(28,1),(29,1),(33,1),(57,1)}
        42:{2,3,6}:{(29,1),(30,1),(55,1),(57,1)}
        43:{2,3,4}:{(30,1),(56,1)}
        44:{1,2,5,7}:{(31,1),(33,1),(54,1),(60,1),(61,1),(112,1)}
        45:{1,3,5,6}:{(31,1),(34,1),(55,1),(59,1),(61,1),(62,1),(88,1),(113,1),(118,1)}
        46:{2,6,7}:{(32,1),(33,1)}
        47:{2,3,5,7}:{(33,1),(34,1),(37,1),(57,1),(61,1),(63,1),(64,1),(96,1)}
        48:{2,4,6}:{(34,1),(38,1),(62,1),(64,1),(65,1)}
        49:{2,5,6,7}:{(35,1),(36,1),(66,1),(96,1)}
        50:{3,6,7}:{(36,1),(37,1)}
        51:{3,4,7}:{(37,1),(38,1),(64,1)}
        52:{3,4,5}:{(38,1),(65,1)}
        53:{2,3,5}:{(40,1),(69,1),(70,1),(101,1)}
        54:{1,2,4,7}:{(39,1),(41,1),(44,1),(71,1),(78,1),(100,1)}
        55:{1,3,6}:{(39,1),(40,1),(42,1),(69,1),(71,1)}
        56:{1,3,4}:{(40,1),(43,1),(70,1)}
        57:{2,3,7}:{(41,1),(42,1),(71,1)}
        58:{2,3,4,6}:{(42,1),(43,1),(48,1),(72,1),(73,1),(74,1),(103,1)}
        59:{2,3,5,6}:{(45,1),(69,1),(75,1),(76,1),(101,1),(105,1),(119,1),(121,1),(122,1)}
        60:{1,2,6,7}:{(44,1),(46,1),(77,1),(119,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(71,1),(75,1),(77,1),(78,1),(108,1)}
        62:{1,4,6}:{(45,1),(48,1),(76,1),(78,1),(79,1)}
        63:{2,3,6,7}:{(46,1),(47,1),(50,1),(77,1),(80,1),(103,1)}
        64:{2,4,7}:{(47,1),(48,1),(51,1),(78,1)}
        65:{2,4,5}:{(48,1),(52,1),(74,1),(79,1)}
        66:{3,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(50,1),(51,1),(80,1),(82,1),(83,1),(84,1)}
        68:{3,4,5,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        69:{2,3,6}:{(53,1),(55,1),(85,1),(86,1)}
        70:{2,4}:{(53,1),(56,1)}
        71:{1,3,7}:{(54,1),(55,1),(57,1),(85,1)}
        72:{1,3,4,6}:{(55,1),(56,1),(58,1),(62,1),(86,1),(87,1),(88,1),(90,1),(113,1)}
        73:{2,3,4,7}:{(57,1),(58,1),(64,1),(87,1),(89,1)}
        74:{2,3,5}:{(58,1),(65,1),(88,1)}
        75:{2,3,5,7}:{(59,1),(61,1),(85,1),(91,1),(92,1),(112,1),(115,1),(116,1)}
        76:{2,4,6}:{(59,1),(62,1),(90,1),(92,1),(93,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(63,1),(91,1),(94,1),(113,1)}
        78:{1,4,7}:{(61,1),(62,1),(64,1),(92,1)}
        79:{1,4,5}:{(62,1),(65,1),(88,1),(93,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(67,1),(94,1),(96,1),(97,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1),(95,1),(96,1),(97,1)}
        82:{4,6,7}:{(66,1),(98,1)}
        83:{3,5,7}:{(67,1),(96,1),(98,1),(99,1)}
        84:{3,4,6}:{(68,1),(97,1),(99,1)}
        85:{2,3,7}:{(69,1),(71,1),(100,1)}
        86:{2,4,6}:{(69,1),(70,1),(72,1),(100,1),(101,1),(119,1)}
        87:{1,3,4,7}:{(71,1),(72,1),(73,1),(78,1),(100,1),(102,1),(104,1)}
        88:{1,3,5}:{(72,1),(74,1),(79,1),(101,1),(105,1)}
        89:{2,3,5,7}:{(73,1),(74,1),(81,1),(102,1),(103,1)}
        90:{3,4,6}:{(76,1),(104,1),(105,1),(121,1)}
        91:{2,3,6,7}:{(75,1),(77,1),(106,1),(119,1),(121,1)}
        92:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        93:{2,4,5}:{(76,1),(79,1),(101,1),(105,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(80,1),(106,1),(108,1),(109,1)}
        95:{1,4,5,7}:{(78,1),(79,1),(81,1),(102,1),(107,1),(108,1),(109,1)}
        96:{2,5,7}:{(80,1),(83,1),(108,1),(110,1)}
        97:{2,4,6}:{(81,1),(84,1),(103,1),(109,1),(110,1)}
        98:{4,5,7}:{(82,1),(83,1),(111,1)}
        99:{3,5,6}:{(83,1),(84,1),(110,1),(111,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(112,1)}
       101:{2,5}:{(86,1),(88,1)}
       102:{1,3,5,7}:{(87,1),(88,1),(89,1),(95,1),(112,1),(113,1),(115,1)}
       103:{2,3,6}:{(89,1),(97,1),(113,1)}
       104:{3,4,7}:{(90,1),(92,1),(115,1)}
       105:{3,5}:{(90,1),(93,1)}
       106:{2,4,6,7}:{(91,1),(92,1),(94,1),(114,1),(116,1),(117,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(95,1),(112,1),(115,1),(116,1),(117,1),(123,1)}
       108:{1,5,7}:{(94,1),(96,1),(116,1),(118,1)}
       109:{1,4,6}:{(95,1),(97,1),(113,1),(117,1),(118,1)}
       110:{2,5,6}:{(96,1),(97,1),(99,1),(118,1)}
       111:{4,5,6}:{(98,1),(99,1)}
       112:{2,5,7}:{(100,1),(101,1),(102,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(109,1),(119,1),(121,1)}
       114:{3,4,6,7}:{(104,1),(106,1),(120,1),(121,1),(125,1)}
       115:{3,5,7}:{(104,1),(105,1),(107,1),(121,1)}
       116:{2,5,7}:{(106,1),(108,1),(120,1),(122,1)}
       117:{2,4,6}:{(107,1),(109,1),(119,1),(121,1),(122,1),(125,1)}
       118:{1,5,6}:{(108,1),(109,1),(110,1),(122,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(116,1),(123,1),(124,1)}
       121:{3,6}:{(115,1),(117,1)}
       122:{2,5,6}:{(116,1),(117,1),(118,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1960 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(99,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(8,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(9,1),(10,1),(85,1),(121,1)}
         5:{2,3,4,5}:{(11,1),(12,1),(59,1),(100,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(13,1)}
         7:{2,5,6,7}:{(2,1),(13,1),(14,1),(115,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(96,1),(115,1)}
         9:{2,3,5,6}:{(4,1),(11,1),(15,1),(17,1)}
        10:{1,4,5,6}:{(4,1),(16,1),(17,1),(18,1),(69,1),(116,1)}
        11:{2,3,4,6}:{(5,1),(9,1),(19,1),(20,1),(73,1),(85,1)}
        12:{1,3,4,5}:{(5,1),(20,1),(21,1),(44,1),(54,1),(86,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(8,1),(22,1),(23,1)}
        14:{1,5,6,7}:{(7,1),(23,1),(24,1),(106,1)}
        15:{2,3,5,7}:{(8,1),(9,1),(19,1),(22,1),(25,1)}
        16:{1,4,5,7}:{(8,1),(10,1),(23,1),(25,1),(26,1),(82,1),(106,1)}
        17:{1,3,5,6}:{(9,1),(10,1),(20,1),(25,1),(27,1),(28,1)}
        18:{2,4,5,6}:{(10,1),(26,1),(27,1),(28,1),(53,1),(80,1),(107,1)}
        19:{2,3,4,7}:{(11,1),(15,1),(29,1),(87,1),(96,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(17,1),(29,1),(30,1),(40,1),(57,1),(69,1)}
        21:{2,4,5}:{(12,1),(30,1),(32,1)}
        22:{2,3,6,7}:{(13,1),(15,1),(33,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(16,1),(33,1),(34,1)}
        24:{2,5,6,7}:{(14,1),(34,1),(35,1),(94,1)}
        25:{1,3,5,7}:{(15,1),(16,1),(17,1),(29,1),(33,1),(36,1),(37,1)}
        26:{2,4,5,7}:{(16,1),(18,1),(34,1),(36,1),(37,1),(64,1),(66,1),(94,1)}
        27:{2,5,6}:{(17,1),(30,1),(36,1)}
        28:{3,5,6}:{(18,1),(37,1),(40,1)}
        29:{1,3,4,7}:{(19,1),(20,1),(25,1),(41,1),(51,1),(71,1),(82,1)}
        30:{2,4,6}:{(20,1),(21,1),(27,1),(41,1),(43,1)}
        31:{1,2,4,5}:{(21,1),(42,1),(44,1),(76,1),(86,1),(104,1)}
        32:{2,3,5}:{(21,1),(43,1),(44,1),(45,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(25,1),(46,1),(47,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(47,1),(48,1)}
        35:{3,5,6,7}:{(24,1),(47,1),(48,1),(79,1)}
        36:{2,5,7}:{(25,1),(27,1),(41,1),(46,1)}
        37:{3,5,7}:{(26,1),(28,1),(47,1),(51,1)}
        38:{1,2,5,6}:{(27,1),(42,1),(49,1),(52,1),(104,1),(119,1)}
        39:{2,3,5,6}:{(27,1),(28,1),(43,1),(50,1),(52,1),(53,1),(75,1),(103,1),(107,1)}
        40:{3,4,6}:{(28,1),(51,1),(53,1),(54,1)}
        41:{2,4,7}:{(29,1),(30,1),(36,1),(56,1)}
        42:{1,2,4,6}:{(30,1),(31,1),(38,1),(55,1),(57,1),(69,1),(90,1)}
        43:{2,3,6}:{(30,1),(32,1),(56,1),(57,1)}
        44:{1,3,5}:{(31,1),(32,1),(57,1),(59,1),(60,1)}
        45:{2,3,4}:{(32,1),(60,1)}
        46:{2,6,7}:{(33,1),(36,1)}
        47:{3,6,7}:{(34,1),(37,1)}
        48:{4,6,7}:{(35,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(38,1),(55,1),(61,1),(65,1),(112,1)}
        50:{2,3,5,7}:{(36,1),(37,1),(39,1),(56,1),(62,1),(65,1),(66,1),(94,1)}
        51:{3,4,7}:{(37,1),(40,1),(66,1)}
        52:{1,3,5,6}:{(38,1),(39,1),(57,1),(65,1),(68,1),(69,1),(91,1),(113,1),(116,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
        54:{3,4,5}:{(40,1),(70,1)}
        55:{1,2,4,7}:{(41,1),(42,1),(49,1),(71,1),(82,1),(101,1)}
        56:{2,3,7}:{(41,1),(43,1),(71,1)}
        57:{1,3,6}:{(42,1),(43,1),(44,1),(71,1),(73,1)}
        58:{2,3,4,6}:{(43,1),(45,1),(53,1),(72,1),(74,1),(75,1),(103,1)}
        59:{2,3,5}:{(44,1),(73,1),(76,1),(104,1)}
        60:{1,3,4}:{(44,1),(45,1),(76,1)}
        61:{1,2,6,7}:{(46,1),(49,1),(77,1),(119,1)}
        62:{2,3,6,7}:{(46,1),(47,1),(50,1),(77,1),(78,1),(103,1)}
        63:{3,4,6,7}:{(47,1),(48,1),(51,1),(78,1),(79,1),(84,1)}
        64:{4,5,7}:{(48,1),(79,1),(80,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(52,1),(71,1),(77,1),(81,1),(82,1),(106,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1),(82,1)}
        67:{3,4,5,7}:{(51,1),(54,1),(79,1),(83,1),(84,1)}
        68:{2,3,5,6}:{(52,1),(73,1),(81,1),(85,1),(104,1),(111,1),(119,1),(121,1),(122,1)}
        69:{1,4,6}:{(52,1),(53,1),(82,1),(85,1),(86,1)}
        70:{2,4,5}:{(53,1),(54,1),(75,1),(86,1)}
        71:{1,3,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{2,3,4,7}:{(56,1),(58,1),(66,1),(88,1),(89,1)}
        73:{2,3,6}:{(57,1),(59,1),(87,1),(90,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(60,1),(69,1),(88,1),(90,1),(91,1),(99,1),(113,1)}
        75:{2,3,5}:{(58,1),(70,1),(91,1)}
        76:{2,4}:{(59,1),(60,1)}
        77:{1,3,6,7}:{(61,1),(62,1),(65,1),(92,1),(93,1),(113,1)}
        78:{2,4,6,7}:{(62,1),(63,1),(66,1),(93,1),(94,1),(98,1)}
        79:{3,5,7}:{(63,1),(64,1),(94,1),(95,1)}
        80:{4,5,6}:{(64,1),(95,1)}
        81:{2,3,5,7}:{(65,1),(68,1),(87,1),(92,1),(96,1),(112,1),(115,1),(117,1)}
        82:{1,4,7}:{(65,1),(66,1),(69,1),(96,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(70,1),(89,1),(94,1),(97,1),(98,1)}
        84:{3,4,6}:{(67,1),(95,1),(98,1)}
        85:{2,4,6}:{(68,1),(69,1),(96,1),(99,1),(100,1)}
        86:{1,4,5}:{(69,1),(70,1),(91,1),(100,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{1,3,4,7}:{(71,1),(72,1),(74,1),(82,1),(101,1),(102,1),(108,1)}
        89:{2,3,5,7}:{(72,1),(75,1),(83,1),(102,1),(103,1)}
        90:{2,4,6}:{(73,1),(74,1),(76,1),(101,1),(104,1),(119,1)}
        91:{1,3,5}:{(74,1),(75,1),(86,1),(104,1),(111,1)}
        92:{2,3,6,7}:{(77,1),(81,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(82,1),(105,1),(106,1),(110,1)}
        94:{2,5,7}:{(78,1),(79,1),(106,1),(107,1)}
        95:{3,5,6}:{(79,1),(80,1),(84,1),(107,1)}
        96:{2,4,7}:{(81,1),(82,1),(85,1),(108,1)}
        97:{1,4,5,7}:{(82,1),(83,1),(86,1),(102,1),(106,1),(109,1),(110,1)}
        98:{2,4,6}:{(83,1),(84,1),(103,1),(107,1),(110,1)}
        99:{3,4,6}:{(85,1),(108,1),(111,1),(122,1)}
       100:{2,4,5}:{(85,1),(86,1),(104,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(90,1),(112,1)}
       102:{1,3,5,7}:{(88,1),(89,1),(91,1),(97,1),(112,1),(113,1),(117,1)}
       103:{2,3,6}:{(89,1),(98,1),(113,1)}
       104:{2,5}:{(90,1),(91,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(96,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(98,1),(116,1)}
       108:{3,4,7}:{(96,1),(99,1),(117,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(100,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       110:{1,4,6}:{(97,1),(98,1),(113,1),(116,1),(118,1)}
       111:{3,5}:{(99,1),(100,1)}
       112:{2,5,7}:{(101,1),(102,1),(104,1),(119,1)}
       113:{1,3,6}:{(102,1),(103,1),(110,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(110,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{2,4,6}:{(109,1),(110,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

1961 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(14,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(14,1),(15,1),(16,1)}
        9:{1,2,6}:{(4,1),(16,1),(17,1)}
       10:{2,4,5}:{(5,1),(6,1),(15,1),(18,1)}
       11:{2,3,6}:{(5,1),(16,1),(18,1),(19,1)}
       12:{3,4,6}:{(6,1),(18,1),(20,1),(21,1)}
       13:{4,5,6}:{(20,1),(22,1)}
       14:{2,3,5}:{(7,1),(8,1),(23,1),(24,1)}
       15:{1,4,5}:{(8,1),(10,1),(23,1),(25,1)}
       16:{1,3,6}:{(8,1),(9,1),(11,1),(24,1),(25,1),(26,1)}
       17:{1,2,7}:{(9,1),(26,1)}
       18:{2,4,6}:{(10,1),(11,1),(12,1),(25,1),(27,1),(28,1)}
       19:{2,3,7}:{(11,1),(26,1),(28,1)}
       20:{3,5,6}:{(12,1),(13,1),(27,1),(29,1)}
       21:{3,4,7}:{(12,1),(28,1),(29,1)}
       22:{4,5,7}:{(13,1),(29,1),(30,1)}
       23:{2,4,5}:{(14,1),(15,1),(31,1),(32,1)}
       24:{2,3,6}:{(14,1),(16,1),(32,1),(33,1)}
       25:{1,4,6}:{(15,1),(16,1),(18,1),(32,1),(34,1),(35,1)}
       26:{1,3,7}:{(16,1),(17,1),(19,1),(33,1),(35,1)}
       27:{2,5,6}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,7}:{(18,1),(19,1),(21,1),(35,1),(36,1)}
       29:{3,5,7}:{(20,1),(21,1),(22,1),(36,1),(37,1)}
       30:{4,6,7}:{(22,1),(37,1),(38,1)}
       31:{3,4,5}:{(23,1),(39,1)}
       32:{2,4,6}:{(23,1),(24,1),(25,1),(39,1),(40,1),(41,1)}
       33:{2,3,7}:{(24,1),(26,1),(41,1)}
       34:{1,5,6}:{(25,1),(27,1),(40,1),(42,1)}
       35:{1,4,7}:{(25,1),(26,1),(28,1),(41,1),(42,1)}
       36:{2,5,7}:{(27,1),(28,1),(29,1),(42,1),(43,1)}
       37:{3,6,7}:{(29,1),(30,1),(43,1)}
       38:{5,6,7}:{(30,1)}
       39:{3,4,6}:{(31,1),(32,1),(44,1),(45,1)}
       40:{2,5,6}:{(32,1),(34,1),(44,1),(46,1)}
       41:{2,4,7}:{(32,1),(33,1),(35,1),(45,1),(46,1)}
       42:{1,5,7}:{(34,1),(35,1),(36,1),(46,1),(47,1)}
       43:{2,6,7}:{(36,1),(37,1),(47,1)}
       44:{3,5,6}:{(39,1),(40,1),(48,1),(49,1)}
       45:{3,4,7}:{(39,1),(41,1),(49,1)}
       46:{2,5,7}:{(40,1),(41,1),(42,1),(49,1),(50,1)}
       47:{1,6,7}:{(42,1),(43,1),(50,1)}
       48:{4,5,6}:{(44,1),(51,1)}
       49:{3,5,7}:{(44,1),(45,1),(46,1),(51,1),(52,1)}
       50:{2,6,7}:{(46,1),(47,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

1962 :   0:{4,5,6,7}:{(1,1),(121,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(115,1)}
         2:{3,4,5,6}:{(5,1),(6,1),(99,1),(122,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(7,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(8,1),(105,1)}
         5:{3,4,5,7}:{(2,1),(3,1),(11,1),(111,1),(115,1)}
         6:{2,4,5,6}:{(2,1),(10,1),(11,1),(12,1),(86,1),(116,1)}
         7:{2,4,6,7}:{(3,1),(4,1),(11,1),(13,1),(14,1)}
         8:{1,5,6,7}:{(4,1),(14,1),(15,1),(92,1)}
         9:{2,3,4,5}:{(16,1),(17,1),(63,1),(101,1)}
        10:{2,3,5,6}:{(6,1),(16,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(6,1),(7,1),(18,1),(20,1),(100,1),(105,1)}
        12:{1,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(71,1),(106,1)}
        13:{2,3,6,7}:{(7,1),(18,1),(22,1)}
        14:{1,4,6,7}:{(7,1),(8,1),(20,1),(22,1),(23,1)}
        15:{2,5,6,7}:{(8,1),(23,1),(24,1),(77,1)}
        16:{2,3,4,6}:{(9,1),(10,1),(25,1),(26,1),(79,1),(86,1)}
        17:{1,3,4,5}:{(9,1),(26,1),(27,1),(49,1),(58,1),(88,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(25,1),(28,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(26,1),(28,1),(29,1),(31,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(14,1),(28,1),(30,1),(87,1),(92,1)}
        21:{2,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(56,1),(62,1),(93,1)}
        22:{1,3,6,7}:{(13,1),(14,1),(28,1),(32,1),(33,1)}
        23:{2,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1)}
        24:{3,5,6,7}:{(15,1),(33,1),(34,1),(61,1)}
        25:{2,3,4,7}:{(16,1),(18,1),(36,1),(94,1),(100,1)}
        26:{1,3,4,6}:{(16,1),(17,1),(19,1),(36,1),(37,1),(43,1),(65,1),(71,1)}
        27:{2,4,5}:{(17,1),(37,1),(38,1)}
        28:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(36,1),(40,1),(42,1)}
        29:{2,5,6}:{(19,1),(37,1),(40,1)}
        30:{2,4,5,7}:{(20,1),(21,1),(23,1),(40,1),(42,1),(47,1),(72,1),(77,1)}
        31:{3,5,6}:{(21,1),(42,1),(43,1)}
        32:{2,6,7}:{(22,1),(40,1)}
        33:{3,6,7}:{(23,1),(42,1)}
        34:{4,6,7}:{(24,1),(47,1)}
        35:{1,2,4,5}:{(27,1),(48,1),(49,1),(80,1),(88,1),(108,1)}
        36:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1),(57,1),(81,1),(87,1)}
        37:{2,4,6}:{(26,1),(27,1),(29,1),(50,1),(51,1)}
        38:{2,3,5}:{(27,1),(49,1),(51,1),(52,1)}
        39:{1,2,5,6}:{(29,1),(48,1),(53,1),(54,1),(108,1),(123,1)}
        40:{2,5,7}:{(28,1),(29,1),(32,1),(50,1)}
        41:{2,3,5,6}:{(29,1),(31,1),(51,1),(54,1),(55,1),(56,1),(84,1),(93,1),(110,1)}
        42:{3,5,7}:{(30,1),(31,1),(33,1),(57,1)}
        43:{3,4,6}:{(31,1),(56,1),(57,1),(58,1)}
        44:{1,2,6,7}:{(32,1),(53,1),(59,1),(123,1)}
        45:{2,3,6,7}:{(32,1),(33,1),(55,1),(59,1),(60,1),(110,1)}
        46:{3,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(90,1)}
        47:{4,5,7}:{(34,1),(61,1),(62,1)}
        48:{1,2,4,6}:{(35,1),(37,1),(39,1),(64,1),(65,1),(71,1),(95,1)}
        49:{1,3,5}:{(35,1),(38,1),(63,1),(65,1),(66,1)}
        50:{2,4,7}:{(36,1),(37,1),(40,1),(67,1)}
        51:{2,3,6}:{(37,1),(38,1),(65,1),(67,1)}
        52:{2,3,4}:{(38,1),(66,1)}
        53:{1,2,5,7}:{(39,1),(40,1),(44,1),(64,1),(70,1),(117,1)}
        54:{1,3,5,6}:{(39,1),(41,1),(65,1),(69,1),(70,1),(71,1),(97,1),(106,1),(118,1)}
        55:{2,3,5,7}:{(40,1),(41,1),(42,1),(45,1),(67,1),(70,1),(72,1),(77,1)}
        56:{2,4,6}:{(41,1),(43,1),(71,1),(72,1),(73,1)}
        57:{3,4,7}:{(42,1),(43,1),(72,1)}
        58:{3,4,5}:{(43,1),(73,1)}
        59:{1,3,6,7}:{(44,1),(45,1),(70,1),(75,1),(76,1),(118,1)}
        60:{2,4,6,7}:{(45,1),(46,1),(72,1),(76,1),(77,1),(103,1)}
        61:{3,5,7}:{(46,1),(47,1),(77,1),(78,1)}
        62:{4,5,6}:{(47,1),(78,1)}
        63:{2,3,5}:{(49,1),(79,1),(80,1),(108,1)}
        64:{1,2,4,7}:{(48,1),(50,1),(53,1),(81,1),(87,1),(107,1)}
        65:{1,3,6}:{(48,1),(49,1),(51,1),(79,1),(81,1)}
        66:{1,3,4}:{(49,1),(52,1),(80,1)}
        67:{2,3,7}:{(50,1),(51,1),(81,1)}
        68:{2,3,4,6}:{(51,1),(52,1),(56,1),(82,1),(83,1),(84,1),(110,1)}
        69:{2,3,5,6}:{(54,1),(79,1),(85,1),(86,1),(108,1),(112,1),(116,1),(123,1),(124,1)}
        70:{1,3,5,7}:{(53,1),(54,1),(55,1),(59,1),(81,1),(85,1),(87,1),(92,1)}
        71:{1,4,6}:{(54,1),(56,1),(86,1),(87,1),(88,1)}
        72:{2,4,7}:{(55,1),(56,1),(57,1),(87,1)}
        73:{2,4,5}:{(56,1),(58,1),(84,1),(88,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{2,3,6,7}:{(59,1),(85,1),(91,1),(123,1),(124,1)}
        76:{1,4,6,7}:{(59,1),(60,1),(87,1),(91,1),(92,1),(114,1)}
        77:{2,5,7}:{(60,1),(61,1),(92,1),(93,1)}
        78:{3,5,6}:{(61,1),(62,1),(90,1),(93,1)}
        79:{2,3,6}:{(63,1),(65,1),(94,1),(95,1)}
        80:{2,4}:{(63,1),(66,1)}
        81:{1,3,7}:{(64,1),(65,1),(67,1),(94,1)}
        82:{1,3,4,6}:{(65,1),(66,1),(68,1),(71,1),(95,1),(96,1),(97,1),(99,1),(118,1)}
        83:{2,3,4,7}:{(67,1),(68,1),(72,1),(96,1),(98,1)}
        84:{2,3,5}:{(68,1),(73,1),(97,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(75,1),(94,1),(100,1),(105,1),(117,1),(119,1)}
        86:{2,4,6}:{(69,1),(71,1),(99,1),(100,1),(101,1)}
        87:{1,4,7}:{(70,1),(71,1),(72,1),(100,1)}
        88:{1,4,5}:{(71,1),(73,1),(97,1),(101,1)}
        89:{2,4,5,7}:{(72,1),(73,1),(74,1),(77,1),(98,1),(102,1),(103,1)}
        90:{3,4,6}:{(74,1),(78,1),(103,1)}
        91:{2,4,6,7}:{(75,1),(76,1),(100,1),(104,1),(105,1),(120,1)}
        92:{1,5,7}:{(76,1),(77,1),(105,1),(106,1)}
        93:{2,5,6}:{(77,1),(78,1),(103,1),(106,1)}
        94:{2,3,7}:{(79,1),(81,1),(107,1)}
        95:{2,4,6}:{(79,1),(80,1),(82,1),(107,1),(108,1),(123,1)}
        96:{1,3,4,7}:{(81,1),(82,1),(83,1),(87,1),(107,1),(109,1),(111,1)}
        97:{1,3,5}:{(82,1),(84,1),(88,1),(108,1),(112,1)}
        98:{2,3,5,7}:{(83,1),(84,1),(89,1),(109,1),(110,1)}
        99:{3,4,6}:{(86,1),(111,1),(112,1),(124,1)}
       100:{2,4,7}:{(85,1),(86,1),(87,1),(111,1)}
       101:{2,4,5}:{(86,1),(88,1),(108,1),(112,1)}
       102:{1,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(109,1),(113,1),(114,1)}
       103:{2,4,6}:{(89,1),(90,1),(93,1),(110,1),(114,1)}
       104:{3,4,6,7}:{(91,1),(111,1),(115,1),(124,1),(125,1)}
       105:{2,5,7}:{(91,1),(92,1),(115,1),(116,1)}
       106:{1,5,6}:{(92,1),(93,1),(114,1),(116,1)}
       107:{2,4,7}:{(94,1),(95,1),(96,1),(117,1)}
       108:{2,5}:{(95,1),(97,1)}
       109:{1,3,5,7}:{(96,1),(97,1),(98,1),(102,1),(117,1),(118,1),(119,1)}
       110:{2,3,6}:{(98,1),(103,1),(118,1)}
       111:{3,4,7}:{(99,1),(100,1),(119,1)}
       112:{3,5}:{(99,1),(101,1)}
       113:{2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(117,1),(119,1),(120,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(106,1),(118,1),(120,1)}
       115:{3,5,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{2,5,6}:{(105,1),(106,1),(120,1),(122,1)}
       117:{2,5,7}:{(107,1),(108,1),(109,1),(123,1)}
       118:{1,3,6}:{(109,1),(110,1),(114,1),(123,1),(124,1)}
       119:{3,5,7}:{(111,1),(112,1),(113,1),(124,1)}
       120:{2,4,6}:{(113,1),(114,1),(116,1),(123,1),(124,1),(125,1)}
       121:{4,5,7}:{(115,1),(125,1)}
       122:{3,5,6}:{(115,1),(116,1),(124,1),(125,1)}
       123:{2,6}:{(117,1),(118,1)}
       124:{3,6}:{(119,1),(120,1)}
       125:{4,6}:{(121,1),(122,1)}

1963 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

1964 :   0:{1,2,3,6,7}:{(2,1),(3,1),(58,1),(70,1),(248,1),(339,1),(409,1),(413,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(26,1),(58,1),(150,1),(234,1),(318,1),(413,1),(417,1),(481,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(34,1),(103,1),(364,1),(367,1),(451,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(35,1),(44,1),(197,1),(286,1),(388,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(42,1),(369,1),(454,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(13,1),(34,1),(42,1),(50,1),(87,1),(113,1),(171,1),(182,1),(372,1),(375,1),(454,1)}
         6:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(20,1),(55,1),(58,1),(232,1),(313,1),(316,1),(339,1),(418,1),(430,1)}
         7:{1,2,5,7}:{(2,1),(16,1),(17,1),(142,1),(481,1)}
         8:{1,2,4,5}:{(4,1),(19,1),(57,1),(481,1),(485,1)}
         9:{1,2,4,7}:{(3,1),(4,1),(20,1),(68,1),(430,1)}
        10:{1,3,4,6}:{(4,1),(19,1),(20,1),(21,1),(58,1),(234,1),(323,1)}
        11:{1,2,5,6,7}:{(17,1),(22,1),(24,1),(142,1),(156,1),(252,1),(333,1),(338,1)}
        12:{1,2,4,5,7}:{(5,1),(24,1),(25,1),(66,1),(68,1),(78,1),(142,1),(154,1),(233,1),(338,1),(342,1),(430,1)}
        13:{1,3,5,6}:{(5,1),(19,1),(23,1),(25,1),(26,1),(58,1),(234,1),(419,1)}
        14:{1,3,4,5,6}:{(23,1),(27,1),(28,1),(75,1),(127,1),(159,1),(217,1),(324,1),(360,1),(419,1)}
        15:{2,3,4,6,7}:{(6,1),(29,1),(30,1),(37,1),(84,1),(91,1),(99,1),(103,1),(181,1),(261,1),(263,1),(290,1),(377,1),(392,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(30,1),(31,1),(32,1),(284,1),(455,1)}
        17:{1,2,5,6}:{(7,1),(31,1),(34,1),(171,1),(367,1)}
        18:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(32,1),(34,1),(35,1),(89,1)}
        19:{1,3,5}:{(8,1),(10,1),(36,1)}
        20:{1,3,4,7}:{(9,1),(10,1),(35,1),(37,1),(286,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(38,1),(42,1),(91,1),(187,1),(274,1)}
        22:{1,3,5,6,7}:{(11,1),(31,1),(39,1),(40,1),(43,1),(102,1),(281,1),(284,1),(388,1)}
        23:{1,3,4,6}:{(13,1),(33,1),(41,1),(42,1),(454,1),(456,1)}
        24:{1,2,4,6,7}:{(11,1),(12,1),(34,1),(40,1),(43,1),(103,1),(115,1),(201,1),(304,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(41,1),(43,1),(44,1),(286,1),(391,1)}
        26:{2,3,5,6}:{(13,1),(36,1),(42,1),(44,1),(45,1),(91,1),(113,1),(171,1),(187,1)}
        27:{1,3,4,5,7}:{(14,1),(41,1),(48,1),(49,1),(102,1),(112,1),(183,1),(206,1),(288,1),(309,1),(391,1)}
        28:{2,4,5,6}:{(14,1),(42,1),(46,1),(49,1),(50,1),(113,1),(171,1),(203,1),(404,1)}
        29:{1,3,4,6,7}:{(15,1),(51,1),(52,1),(61,1),(121,1),(131,1),(143,1),(209,1),(211,1),(241,1),(329,1),(346,1)}
        30:{2,3,5,7}:{(15,1),(16,1),(52,1),(53,1),(54,1),(138,1),(142,1),(231,1),(421,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(53,1),(55,1),(58,1),(316,1),(320,1)}
        32:{1,4,5,7}:{(16,1),(54,1),(55,1),(430,1),(485,1)}
        33:{1,3,4,5}:{(19,1),(23,1),(57,1),(485,1),(486,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(55,1),(58,1),(128,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(20,1),(58,1),(59,1)}
        36:{2,3,5}:{(19,1),(21,1),(57,1),(60,1)}
        37:{2,3,4,7}:{(20,1),(21,1),(59,1),(61,1),(68,1),(238,1)}
        38:{1,3,4,6}:{(21,1),(60,1),(61,1),(62,1),(69,1),(131,1),(145,1),(225,1)}
        39:{2,3,5,6,7}:{(22,1),(53,1),(63,1),(64,1),(70,1),(138,1),(142,1),(229,1),(231,1),(252,1),(343,1),(355,1)}
        40:{1,4,6,7}:{(22,1),(55,1),(64,1),(66,1),(430,1)}
        41:{1,3,4,7}:{(23,1),(25,1),(68,1),(430,1),(433,1)}
        42:{2,4,6}:{(23,1),(26,1),(57,1),(68,1),(69,1)}
        43:{1,3,6,7}:{(24,1),(25,1),(58,1),(70,1),(355,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(68,1),(70,1),(71,1),(142,1),(154,1),(238,1)}
        45:{1,3,5,6}:{(26,1),(60,1),(69,1),(71,1),(72,1),(131,1),(145,1),(222,1)}
        46:{2,3,5,6}:{(28,1),(65,1),(74,1),(75,1),(419,1)}
        47:{1,4,5,6,7}:{(66,1),(73,1),(76,1),(247,1),(251,1),(359,1)}
        48:{1,3,4,6,7}:{(27,1),(76,1),(77,1),(151,1),(153,1),(251,1),(355,1)}
        49:{2,4,5,7}:{(27,1),(28,1),(68,1),(74,1),(77,1),(78,1),(142,1),(154,1),(254,1),(357,1)}
        50:{1,4,5,6}:{(28,1),(69,1),(75,1),(78,1),(222,1),(250,1),(441,1)}
        51:{1,2,4,6,7}:{(29,1),(80,1),(81,1),(94,1),(161,1),(162,1),(175,1),(181,1),(278,1)}
        52:{1,3,5,7}:{(29,1),(30,1),(81,1),(82,1),(83,1),(188,1),(379,1)}
        53:{2,3,5,6}:{(30,1),(31,1),(82,1),(84,1),(91,1),(167,1),(171,1),(263,1),(266,1)}
        54:{2,4,5,7}:{(30,1),(32,1),(83,1),(84,1),(85,1),(392,1),(457,1)}
        55:{1,4,6}:{(31,1),(32,1),(84,1)}
        56:{1,3,4,5,7}:{(32,1),(33,1),(35,1),(41,1),(85,1),(88,1),(89,1),(102,1)}
        57:{2,4,5}:{(33,1),(36,1),(42,1),(90,1)}
        58:{1,3,6}:{(34,1),(35,1),(91,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(37,1),(89,1),(91,1),(92,1)}
        60:{1,3,5}:{(36,1),(38,1),(90,1),(93,1)}
        61:{1,3,4,7}:{(37,1),(38,1),(92,1),(94,1),(104,1),(190,1)}
        62:{1,2,4,6}:{(38,1),(93,1),(94,1),(95,1),(175,1),(177,1)}
        63:{1,3,5,6,7}:{(39,1),(82,1),(96,1),(97,1),(106,1),(179,1),(180,1),(188,1),(293,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(84,1),(97,1),(98,1),(99,1),(392,1)}
        65:{2,3,4,6}:{(42,1),(46,1),(86,1),(100,1),(101,1),(187,1),(203,1),(456,1)}
        66:{1,4,5,7}:{(40,1),(87,1),(98,1),(102,1),(284,1)}
        67:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(88,1),(99,1),(102,1),(103,1)}
        68:{2,4,7}:{(41,1),(42,1),(44,1),(104,1)}
        69:{1,4,6}:{(42,1),(45,1),(90,1),(104,1)}
        70:{2,3,6,7}:{(43,1),(44,1),(91,1),(103,1),(106,1),(201,1)}
        71:{1,3,5,7}:{(44,1),(45,1),(104,1),(106,1),(107,1),(188,1),(190,1)}
        72:{1,2,5,6}:{(45,1),(93,1),(105,1),(107,1),(113,1),(175,1)}
        73:{2,4,5,6,7}:{(47,1),(98,1),(109,1),(110,1),(114,1),(196,1),(199,1),(304,1),(403,1)}
        74:{2,3,5,7}:{(46,1),(49,1),(100,1),(111,1),(112,1),(391,1)}
        75:{1,3,5,6}:{(46,1),(50,1),(101,1),(112,1),(113,1)}
        76:{1,3,5,6,7}:{(47,1),(48,1),(102,1),(110,1),(114,1),(309,1)}
        77:{2,4,6,7}:{(48,1),(49,1),(111,1),(114,1),(115,1),(201,1)}
        78:{1,4,5,7}:{(49,1),(50,1),(104,1),(112,1),(115,1),(188,1),(302,1),(400,1)}
        79:{1,2,4,5,6}:{(50,1),(105,1),(113,1),(116,1),(117,1),(194,1),(203,1),(275,1),(297,1),(375,1),(378,1),(404,1),(405,1)}
        80:{1,2,3,6,7}:{(51,1),(118,1),(134,1),(211,1),(226,1),(229,1),(241,1),(437,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(119,1),(231,1),(330,1)}
        82:{1,3,5,6}:{(52,1),(53,1),(119,1),(121,1),(131,1),(211,1),(222,1)}
        83:{1,4,5,7}:{(52,1),(54,1),(121,1),(346,1),(422,1)}
        84:{2,4,6}:{(53,1),(54,1),(55,1),(121,1),(124,1)}
        85:{3,4,5,7}:{(54,1),(124,1),(138,1),(433,1),(486,1)}
        86:{2,3,4,5}:{(57,1),(65,1),(126,1),(221,1),(255,1),(486,1)}
        87:{1,4,5,6}:{(55,1),(66,1),(123,1),(127,1),(320,1)}
        88:{1,3,4,6}:{(55,1),(56,1),(58,1),(124,1),(127,1),(128,1)}
        89:{2,4,5,7}:{(56,1),(57,1),(59,1),(68,1),(128,1),(129,1),(142,1)}
        90:{1,4,5}:{(57,1),(60,1),(69,1)}
        91:{2,3,6}:{(58,1),(59,1),(128,1),(131,1)}
        92:{1,3,5,7}:{(59,1),(60,1),(61,1),(129,1),(131,1),(132,1)}
        93:{1,2,5}:{(60,1),(62,1)}
        94:{1,2,4,7}:{(61,1),(62,1),(132,1),(134,1)}
        95:{1,2,3,6}:{(62,1),(133,1),(134,1),(145,1)}
        96:{1,2,5,6,7}:{(63,1),(119,1),(135,1),(146,1),(231,1),(240,1),(247,1),(252,1)}
        97:{1,4,6,7}:{(63,1),(64,1),(121,1),(136,1),(346,1)}
        98:{2,4,5,7}:{(64,1),(66,1),(123,1),(136,1),(138,1),(142,1),(231,1)}
        99:{3,4,6,7}:{(64,1),(124,1),(138,1),(355,1),(433,1)}
       100:{2,3,4,7}:{(65,1),(68,1),(74,1),(140,1),(238,1),(254,1),(433,1)}
       101:{1,3,4,6}:{(65,1),(69,1),(75,1),(126,1),(140,1),(141,1),(145,1),(234,1),(250,1)}
       102:{1,3,5,7}:{(66,1),(67,1),(127,1),(138,1),(142,1)}
       103:{2,4,6,7}:{(67,1),(68,1),(70,1),(128,1),(142,1),(143,1)}
       104:{1,4,7}:{(68,1),(69,1),(71,1)}
       105:{1,2,4,6}:{(69,1),(72,1),(130,1),(141,1),(144,1),(145,1)}
       106:{1,3,6,7}:{(70,1),(71,1),(131,1),(143,1),(146,1)}
       107:{1,2,5,7}:{(71,1),(72,1),(144,1),(146,1),(154,1)}
       108:{1,2,3,5,6}:{(72,1),(133,1),(145,1),(147,1),(148,1),(155,1),(226,1),(243,1),(328,1),(330,1),(348,1),(349,1)}
       109:{1,4,5,6,7}:{(73,1),(136,1),(149,1),(156,1),(251,1),(440,1)}
       110:{3,5,6,7}:{(73,1),(138,1),(151,1),(355,1),(442,1)}
       111:{2,3,6,7}:{(74,1),(77,1),(153,1),(355,1)}
       112:{1,3,5,7}:{(74,1),(75,1),(78,1),(140,1),(153,1),(154,1)}
       113:{2,5,6}:{(75,1),(141,1),(154,1)}
       114:{2,5,6,7}:{(76,1),(77,1),(142,1),(156,1),(357,1)}
       115:{1,4,6,7}:{(77,1),(78,1),(153,1),(156,1)}
       116:{1,2,4,5,7}:{(78,1),(79,1),(144,1),(154,1),(157,1),(158,1),(240,1),(254,1),(342,1),(346,1),(357,1),(359,1)}
       117:{1,3,5,6}:{(79,1),(145,1),(155,1),(158,1),(159,1),(243,1),(348,1),(419,1)}
       118:{1,2,3,5,7}:{(80,1),(81,1),(160,1),(161,1),(163,1),(280,1),(293,1),(463,1),(510,1)}
       119:{1,2,5,6}:{(81,1),(82,1),(162,1),(175,1),(266,1)}
       120:{1,2,4,5,7}:{(81,1),(83,1),(161,1),(162,1),(163,1),(166,1),(259,1)}
       121:{1,4,6}:{(82,1),(83,1),(84,1)}
       122:{1,3,4,5,7}:{(83,1),(85,1),(163,1),(165,1),(166,1),(180,1),(279,1),(361,1)}
       123:{2,4,5,6}:{(84,1),(87,1),(98,1),(164,1),(167,1),(171,1),(266,1)}
       124:{3,4,6}:{(84,1),(85,1),(167,1)}
       125:{2,3,4,5,7}:{(85,1),(86,1),(89,1),(100,1),(166,1),(168,1),(169,1),(184,1),(273,1),(307,1),(380,1),(392,1),(444,1),(457,1),(468,1),(515,1)}
       126:{1,3,4,5}:{(86,1),(90,1),(101,1),(170,1),(174,1),(269,1),(303,1)}
       127:{1,3,5,6}:{(87,1),(88,1),(102,1),(167,1),(171,1)}
       128:{2,4,6}:{(88,1),(89,1),(91,1),(171,1),(172,1)}
       129:{1,4,5,7}:{(89,1),(90,1),(92,1),(104,1),(172,1),(188,1)}
       130:{1,2,4,5}:{(90,1),(93,1),(105,1),(170,1),(174,1),(177,1)}
       131:{1,3,6}:{(91,1),(92,1),(172,1),(175,1)}
       132:{1,2,5,7}:{(92,1),(93,1),(94,1),(175,1)}
       133:{1,2,3,5}:{(93,1),(95,1),(174,1),(177,1)}
       134:{1,2,3,7}:{(94,1),(95,1),(190,1)}
       135:{1,2,4,6,7}:{(96,1),(97,1),(162,1),(178,1),(179,1),(181,1),(299,1),(304,1),(397,1)}
       136:{1,4,5,7}:{(97,1),(98,1),(164,1),(180,1),(188,1)}
       137:{1,3,4,6,7}:{(97,1),(99,1),(165,1),(179,1),(180,1),(181,1),(279,1)}
       138:{3,5,7}:{(98,1),(99,1),(167,1)}
       139:{2,3,4,6,7}:{(99,1),(100,1),(103,1),(111,1),(168,1),(181,1),(184,1),(185,1),(199,1),(290,1),(298,1),(306,1),(380,1),(392,1),(402,1),(471,1)}
       140:{1,3,4,7}:{(100,1),(101,1),(104,1),(112,1),(186,1),(190,1),(286,1),(302,1)}
       141:{2,4,6}:{(101,1),(113,1),(170,1),(186,1),(187,1)}
       142:{2,5,7}:{(102,1),(103,1),(171,1),(188,1)}
       143:{1,4,6,7}:{(103,1),(104,1),(106,1),(172,1),(188,1)}
       144:{1,2,4,7}:{(104,1),(105,1),(107,1),(186,1),(190,1)}
       145:{1,3,6}:{(105,1),(174,1),(187,1),(190,1)}
       146:{1,2,6,7}:{(106,1),(107,1),(175,1),(201,1)}
       147:{1,2,3,5,7}:{(107,1),(108,1),(190,1),(192,1),(193,1),(202,1),(293,1),(295,1),(296,1)}
       148:{1,2,4,6}:{(108,1),(177,1),(191,1),(193,1),(194,1),(203,1),(378,1)}
       149:{1,3,5,6,7}:{(109,1),(110,1),(180,1),(195,1),(196,1),(472,1)}
       150:{1,2,5,6}:{(113,1),(182,1),(197,1),(198,1),(385,1),(462,1)}
       151:{3,4,6,7}:{(110,1),(183,1),(199,1)}
       152:{2,3,5,6,7}:{(110,1),(111,1),(114,1),(184,1),(196,1),(199,1),(200,1),(298,1)}
       153:{1,3,6,7}:{(111,1),(112,1),(115,1),(201,1)}
       154:{2,5,7}:{(112,1),(113,1),(186,1),(201,1)}
       155:{2,3,5,6}:{(113,1),(117,1),(187,1),(198,1),(202,1),(203,1),(292,1),(394,1),(404,1)}
       156:{1,5,6,7}:{(114,1),(115,1),(188,1),(400,1)}
       157:{1,2,4,6,7}:{(115,1),(116,1),(201,1),(204,1),(205,1),(297,1),(304,1),(306,1),(308,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(190,1),(202,1),(205,1),(206,1),(391,1)}
       159:{1,3,4,6}:{(117,1),(203,1),(206,1),(207,1),(378,1),(456,1)}
       160:{1,2,3,5,6}:{(118,1),(119,1),(208,1),(211,1),(226,1),(311,1),(315,1),(328,1),(330,1),(482,1),(522,1),(544,1)}
       161:{1,2,4,7}:{(118,1),(208,1),(209,1),(331,1),(346,1)}
       162:{1,2,4,6}:{(119,1),(120,1),(121,1),(211,1),(214,1)}
       163:{1,3,5,7}:{(120,1),(209,1),(211,1),(212,1),(311,1)}
       164:{1,4,5,6}:{(121,1),(123,1),(136,1),(213,1),(222,1)}
       165:{1,3,4,6}:{(121,1),(122,1),(124,1),(211,1),(213,1),(214,1)}
       166:{2,4,5,7}:{(122,1),(212,1),(214,1),(215,1),(231,1),(331,1),(406,1)}
       167:{3,5,6}:{(123,1),(124,1),(138,1)}
       168:{2,3,4,6}:{(124,1),(125,1),(128,1),(214,1),(218,1),(219,1),(326,1),(358,1),(420,1),(496,1),(532,1)}
       169:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(140,1),(215,1),(219,1),(220,1),(224,1),(236,1),(322,1),(346,1),(354,1),(422,1),(423,1),(430,1),(433,1),(475,1),(485,1),(486,1),(531,1)}
       170:{2,4,5}:{(126,1),(141,1),(221,1)}
       171:{2,5,6}:{(127,1),(128,1),(142,1),(222,1)}
       172:{1,4,6}:{(128,1),(129,1),(131,1),(222,1)}
       173:{1,2,4,5,7}:{(129,1),(130,1),(132,1),(144,1),(220,1),(223,1),(224,1),(227,1),(240,1),(330,1),(346,1),(422,1),(487,1),(519,1),(531,1),(548,1)}
       174:{1,3,5}:{(130,1),(145,1),(221,1),(225,1)}
       175:{1,2,6}:{(131,1),(132,1)}
       176:{1,2,3,5,7}:{(132,1),(133,1),(134,1),(224,1),(226,1),(227,1),(330,1),(527,1),(544,1),(548,1)}
       177:{1,2,4}:{(133,1),(225,1)}
       178:{1,2,4,5,7}:{(135,1),(136,1),(210,1),(228,1),(231,1),(240,1),(331,1),(337,1),(342,1),(346,1),(428,1),(487,1)}
       179:{1,3,6,7}:{(135,1),(211,1),(228,1),(229,1),(355,1)}
       180:{1,3,5,7}:{(136,1),(137,1),(138,1),(213,1),(231,1)}
       181:{2,4,6,7}:{(137,1),(214,1),(229,1),(231,1),(232,1),(331,1)}
       182:{1,2,4,6}:{(141,1),(150,1),(216,1),(233,1),(234,1),(250,1)}
       183:{3,4,5,7}:{(138,1),(151,1),(217,1),(235,1),(433,1),(442,1)}
       184:{2,3,5,7}:{(138,1),(139,1),(142,1),(218,1),(231,1),(235,1),(236,1),(357,1),(442,1),(498,1)}
       185:{1,3,4,6,7}:{(139,1),(140,1),(143,1),(153,1),(219,1),(232,1),(236,1),(237,1),(241,1),(251,1),(339,1),(346,1),(350,1),(353,1),(355,1),(423,1),(430,1),(433,1),(497,1)}
       186:{2,4,7}:{(140,1),(141,1),(154,1),(238,1)}
       187:{2,3,6}:{(141,1),(145,1),(221,1),(234,1),(238,1)}
       188:{1,5,7}:{(142,1),(143,1),(222,1)}
       189:{1,2,4,6,7}:{(143,1),(144,1),(146,1),(223,1),(237,1),(240,1),(241,1),(346,1),(437,1),(487,1),(497,1)}
       190:{1,3,7}:{(144,1),(145,1),(238,1)}
       191:{1,3,4,6}:{(145,1),(148,1),(225,1),(239,1),(242,1),(243,1),(348,1)}
       192:{1,2,3,6,7}:{(146,1),(147,1),(226,1),(241,1),(244,1),(253,1),(348,1),(527,1)}
       193:{1,2,4,7}:{(147,1),(148,1),(242,1),(254,1),(346,1)}
       194:{1,2,4,5}:{(148,1),(243,1),(255,1),(330,1),(422,1)}
       195:{1,3,4,6,7}:{(149,1),(151,1),(230,1),(246,1),(251,1),(350,1),(355,1)}
       196:{2,5,6,7}:{(149,1),(231,1),(246,1),(247,1),(498,1)}
       197:{1,2,5,7}:{(150,1),(154,1),(233,1),(248,1),(249,1)}
       198:{1,3,5,6}:{(150,1),(155,1),(234,1),(249,1),(250,1),(341,1),(432,1),(441,1)}
       199:{2,4,6,7}:{(151,1),(152,1),(235,1),(251,1)}
       200:{1,3,5,6,7}:{(152,1),(153,1),(156,1),(236,1),(247,1),(251,1),(252,1),(350,1),(355,1)}
       201:{2,6,7}:{(153,1),(154,1)}
       202:{2,3,5,7}:{(154,1),(155,1),(158,1),(238,1),(249,1),(253,1),(254,1),(357,1)}
       203:{2,4,6}:{(155,1),(159,1),(250,1),(254,1),(255,1)}
       204:{1,2,5,6,7}:{(156,1),(157,1),(240,1),(252,1),(256,1),(349,1),(357,1),(437,1)}
       205:{1,3,6,7}:{(157,1),(158,1),(253,1),(348,1),(355,1)}
       206:{1,3,4,7}:{(158,1),(159,1),(254,1),(346,1),(433,1)}
       207:{1,3,4,5}:{(159,1),(243,1),(255,1),(422,1),(486,1)}
       208:{1,2,4,6}:{(160,1),(161,1),(259,1),(260,1),(365,1),(378,1),(550,1)}
       209:{1,3,4,7}:{(161,1),(163,1),(260,1),(261,1),(510,1)}
       210:{1,2,4,5,6}:{(162,1),(164,1),(178,1),(259,1),(262,1),(266,1),(275,1),(365,1),(371,1),(375,1),(378,1),(452,1),(503,1)}
       211:{1,3,6}:{(162,1),(163,1),(263,1)}
       212:{2,3,5,7}:{(163,1),(166,1),(261,1),(263,1),(264,1),(362,1)}
       213:{1,3,5,6}:{(164,1),(165,1),(167,1),(180,1),(266,1)}
       214:{2,4,6}:{(165,1),(166,1),(263,1),(266,1),(267,1)}
       215:{1,4,5,7}:{(166,1),(264,1),(267,1),(284,1),(381,1),(445,1)}
       216:{1,2,4,5}:{(170,1),(182,1),(269,1),(303,1),(369,1),(385,1)}
       217:{3,4,5,6}:{(167,1),(183,1),(270,1),(456,1),(474,1)}
       218:{2,3,5,6}:{(167,1),(168,1),(171,1),(184,1),(266,1),(270,1),(271,1),(404,1),(474,1),(518,1)}
       219:{1,3,4,6}:{(168,1),(169,1),(172,1),(267,1),(271,1),(272,1),(276,1),(373,1),(378,1),(401,1),(454,1),(456,1),(543,1)}
       220:{2,4,5,7}:{(169,1),(170,1),(186,1),(272,1),(273,1),(289,1),(392,1),(457,1),(458,1),(500,1)}
       221:{2,3,5}:{(170,1),(174,1),(187,1),(269,1),(274,1)}
       222:{1,5,6}:{(171,1),(172,1),(188,1)}
       223:{1,2,4,6}:{(172,1),(173,1),(175,1),(272,1),(275,1),(276,1),(378,1),(543,1),(552,1)}
       224:{1,3,5,7}:{(173,1),(174,1),(190,1),(273,1),(276,1),(277,1),(379,1),(510,1),(534,1)}
       225:{1,3,4}:{(174,1),(177,1),(274,1)}
       226:{1,2,3,6}:{(175,1),(176,1),(276,1),(278,1),(552,1)}
       227:{1,2,4,7}:{(176,1),(177,1),(277,1),(278,1),(550,1)}
       228:{1,3,5,7}:{(178,1),(179,1),(262,1),(279,1),(280,1),(391,1),(510,1)}
       229:{2,3,6,7}:{(179,1),(181,1),(263,1),(280,1),(281,1),(397,1)}
       230:{1,3,4,5,7}:{(180,1),(183,1),(195,1),(265,1),(279,1),(283,1),(288,1),(386,1),(391,1),(465,1),(472,1)}
       231:{2,5,7}:{(180,1),(181,1),(266,1),(284,1)}
       232:{1,4,6,7}:{(181,1),(267,1),(281,1),(284,1),(381,1)}
       233:{1,2,4,7}:{(182,1),(186,1),(197,1),(286,1),(302,1)}
       234:{1,3,6}:{(182,1),(187,1),(269,1),(286,1)}
       235:{2,4,5,7}:{(183,1),(184,1),(199,1),(270,1),(288,1),(392,1)}
       236:{1,3,5,7}:{(184,1),(185,1),(188,1),(271,1),(284,1),(288,1),(289,1),(391,1),(400,1),(517,1)}
       237:{2,4,6,7}:{(185,1),(186,1),(201,1),(272,1),(289,1),(290,1),(392,1),(397,1),(458,1)}
       238:{2,3,7}:{(186,1),(187,1),(190,1),(286,1)}
       239:{2,3,4,6}:{(187,1),(191,1),(203,1),(274,1),(287,1),(291,1),(292,1),(394,1)}
       240:{1,2,5,7}:{(188,1),(189,1),(275,1),(289,1),(293,1),(517,1)}
       241:{1,3,6,7}:{(189,1),(190,1),(276,1),(290,1),(293,1),(510,1)}
       242:{1,3,4,7}:{(190,1),(191,1),(193,1),(291,1),(295,1)}
       243:{1,3,5}:{(191,1),(194,1),(292,1)}
       244:{1,2,4,6,7}:{(192,1),(193,1),(278,1),(294,1),(296,1),(297,1),(306,1),(540,1),(552,1)}
       245:{1,2,4,5,7}:{(193,1),(194,1),(295,1),(296,1),(297,1),(307,1),(395,1)}
       246:{2,4,6,7}:{(195,1),(196,1),(283,1),(298,1),(299,1),(397,1)}
       247:{1,5,6,7}:{(196,1),(284,1),(299,1),(517,1)}
       248:{1,2,6,7}:{(197,1),(201,1),(301,1),(462,1)}
       249:{1,3,5,7}:{(197,1),(198,1),(202,1),(286,1),(301,1),(302,1),(400,1)}
       250:{1,4,6}:{(198,1),(203,1),(302,1),(303,1)}
       251:{1,4,6,7}:{(199,1),(200,1),(288,1),(304,1)}
       252:{2,5,6,7}:{(200,1),(201,1),(289,1),(304,1),(397,1)}
       253:{2,3,6,7}:{(201,1),(202,1),(205,1),(301,1),(306,1),(394,1)}
       254:{2,4,7}:{(202,1),(203,1),(206,1),(302,1)}
       255:{2,4,5}:{(203,1),(207,1),(292,1),(303,1)}
       256:{1,3,5,6,7}:{(204,1),(205,1),(293,1),(305,1),(308,1),(309,1),(396,1),(470,1),(517,1)}
       257:{1,3,4,6,7}:{(205,1),(206,1),(306,1),(308,1),(309,1),(310,1),(402,1)}
       258:{1,3,4,5,7}:{(206,1),(207,1),(295,1),(307,1),(309,1),(310,1),(395,1),(468,1)}
       259:{1,2,4,5}:{(208,1),(311,1),(330,1),(406,1),(422,1)}
       260:{1,3,4,6}:{(208,1),(209,1),(211,1),(311,1),(312,1),(522,1),(545,1)}
       261:{2,3,4,7}:{(209,1),(212,1),(312,1),(313,1),(331,1),(488,1)}
       262:{1,3,5,6}:{(210,1),(211,1),(228,1),(311,1),(314,1),(315,1),(419,1),(522,1)}
       263:{2,3,6}:{(211,1),(212,1),(214,1),(316,1)}
       264:{1,3,5,7}:{(212,1),(215,1),(313,1),(316,1),(317,1),(407,1)}
       265:{1,3,4,5,6}:{(213,1),(217,1),(230,1),(314,1),(319,1),(324,1),(415,1),(419,1),(484,1),(499,1)}
       266:{2,5,6}:{(213,1),(214,1),(231,1),(320,1)}
       267:{1,4,6}:{(214,1),(215,1),(316,1),(320,1)}
       268:{1,2,4,5,7}:{(215,1),(216,1),(220,1),(233,1),(317,1),(321,1),(322,1),(338,1),(354,1),(414,1),(424,1),(427,1),(430,1),(476,1),(481,1),(485,1)}
       269:{1,3,5}:{(216,1),(221,1),(234,1),(323,1)}
       270:{2,4,5,6}:{(217,1),(218,1),(235,1),(324,1),(420,1)}
       271:{1,3,5,6}:{(218,1),(219,1),(222,1),(236,1),(320,1),(324,1),(325,1),(419,1),(441,1),(533,1)}
       272:{2,4,6}:{(219,1),(220,1),(325,1),(326,1)}
       273:{2,3,5,7}:{(220,1),(221,1),(224,1),(238,1),(322,1),(326,1),(327,1),(421,1),(488,1),(520,1)}
       274:{2,3,4}:{(221,1),(225,1),(323,1)}
       275:{1,2,5,6}:{(222,1),(223,1),(240,1),(325,1),(328,1),(330,1),(533,1)}
       276:{1,3,6}:{(223,1),(224,1),(326,1)}
       277:{1,3,4,7}:{(224,1),(225,1),(227,1),(327,1),(329,1),(346,1),(545,1)}
       278:{1,2,4,6}:{(226,1),(227,1),(329,1),(330,1)}
       279:{1,3,4,7}:{(228,1),(314,1),(331,1),(346,1),(433,1)}
       280:{2,3,5,7}:{(228,1),(229,1),(231,1),(315,1),(331,1),(332,1),(428,1),(488,1)}
       281:{1,3,6,7}:{(229,1),(232,1),(316,1),(332,1),(333,1)}
       282:{1,2,3,6}:{(234,1),(318,1),(334,1),(335,1)}
       283:{2,4,5,7}:{(230,1),(231,1),(246,1),(319,1),(331,1),(336,1),(337,1),(428,1),(493,1),(498,1)}
       284:{1,5,7}:{(231,1),(232,1),(320,1)}
       285:{1,2,4,6,7}:{(232,1),(233,1),(237,1),(248,1),(321,1),(333,1),(338,1),(339,1),(353,1),(424,1),(430,1)}
       286:{1,3,7}:{(233,1),(234,1),(238,1)}
       287:{1,3,4,6}:{(234,1),(239,1),(250,1),(323,1),(335,1),(340,1),(341,1),(432,1)}
       288:{1,4,5,7}:{(235,1),(236,1),(251,1),(324,1),(342,1),(346,1),(430,1)}
       289:{2,5,7}:{(236,1),(237,1),(325,1)}
       290:{2,3,6,7}:{(237,1),(238,1),(241,1),(326,1),(339,1),(343,1),(355,1),(488,1)}
       291:{2,3,4,7}:{(238,1),(239,1),(242,1),(254,1),(340,1),(345,1)}
       292:{2,3,5}:{(239,1),(243,1),(255,1),(341,1)}
       293:{1,3,5,7}:{(240,1),(241,1),(328,1),(343,1),(346,1)}
       294:{1,3,4,6,7}:{(241,1),(242,1),(244,1),(329,1),(344,1),(346,1),(347,1),(348,1),(436,1),(497,1),(528,1),(549,1)}
       295:{1,3,5,7}:{(242,1),(243,1),(245,1),(345,1),(348,1)}
       296:{1,2,5,7}:{(244,1),(330,1),(347,1),(349,1),(357,1)}
       297:{1,2,4,6}:{(245,1),(348,1),(349,1),(358,1),(436,1)}
       298:{2,3,6,7}:{(246,1),(336,1),(350,1),(355,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(337,1),(350,1)}
       300:{1,2,5,6,7}:{(247,1),(248,1),(252,1),(338,1),(351,1),(352,1),(491,1),(498,1)}
       301:{1,3,6,7}:{(248,1),(249,1),(253,1),(353,1),(432,1)}
       302:{1,4,7}:{(249,1),(250,1),(254,1)}
       303:{1,4,5}:{(250,1),(255,1),(341,1)}
       304:{2,4,6,7}:{(251,1),(252,1),(342,1),(355,1)}
       305:{2,3,5,6,7}:{(252,1),(253,1),(256,1),(343,1),(352,1),(355,1),(356,1),(357,1),(435,1),(438,1),(442,1),(498,1)}
       306:{2,4,6,7}:{(253,1),(254,1),(257,1),(353,1),(357,1),(358,1)}
       307:{2,4,5,7}:{(254,1),(255,1),(258,1),(345,1),(354,1),(357,1),(358,1)}
       308:{1,4,6,7}:{(256,1),(346,1),(356,1),(359,1),(436,1)}
       309:{1,3,5,7}:{(257,1),(357,1),(359,1),(360,1),(442,1)}
       310:{1,3,4,6}:{(258,1),(348,1),(358,1),(360,1),(436,1),(496,1)}
       311:{1,3,5}:{(259,1),(260,1),(362,1)}
       312:{2,3,4,6}:{(260,1),(261,1),(263,1),(362,1),(363,1),(365,1),(504,1),(535,1)}
       313:{1,3,4,7}:{(261,1),(264,1),(363,1),(364,1),(381,1),(459,1)}
       314:{1,3,4,6}:{(262,1),(279,1),(361,1),(365,1),(378,1),(456,1)}
       315:{2,3,5,6}:{(262,1),(263,1),(266,1),(280,1),(362,1),(365,1),(366,1),(452,1),(504,1)}
       316:{1,3,6}:{(263,1),(264,1),(267,1),(367,1)}
       317:{1,2,5,7}:{(264,1),(364,1),(367,1),(446,1)}
       318:{1,2,3,5}:{(269,1),(282,1),(369,1),(385,1)}
       319:{2,4,5,6}:{(265,1),(266,1),(283,1),(365,1),(370,1),(371,1),(452,1),(508,1),(518,1)}
       320:{1,5,6}:{(266,1),(267,1),(284,1)}
       321:{1,2,4,6}:{(267,1),(268,1),(272,1),(367,1),(372,1),(373,1),(401,1),(454,1),(462,1)}
       322:{1,3,5,7}:{(268,1),(269,1),(273,1),(286,1),(373,1),(374,1),(455,1),(459,1),(501,1)}
       323:{1,3,4}:{(269,1),(274,1),(369,1)}
       324:{1,4,5,6}:{(270,1),(271,1),(288,1),(375,1),(378,1),(454,1)}
       325:{2,5,6}:{(271,1),(272,1),(289,1)}
       326:{2,3,6}:{(272,1),(273,1),(276,1),(373,1)}
       327:{2,3,4,7}:{(273,1),(274,1),(277,1),(374,1),(377,1),(392,1),(535,1)}
       328:{1,3,5,6}:{(275,1),(276,1),(293,1),(376,1),(378,1),(379,1)}
       329:{1,3,4,6}:{(276,1),(277,1),(278,1),(377,1),(378,1),(379,1)}
       330:{1,2,5}:{(278,1),(379,1)}
       331:{2,4,7}:{(279,1),(280,1),(365,1),(381,1)}
       332:{1,3,5,7}:{(280,1),(281,1),(284,1),(366,1),(381,1),(382,1),(459,1)}
       333:{1,2,6,7}:{(281,1),(367,1),(382,1),(397,1)}
       334:{1,2,3,7}:{(282,1),(286,1),(384,1)}
       335:{1,2,4,6}:{(282,1),(287,1),(369,1),(384,1),(385,1),(462,1)}
       336:{2,3,5,7}:{(283,1),(298,1),(370,1),(380,1),(386,1),(391,1)}
       337:{1,4,5,7}:{(283,1),(284,1),(299,1),(371,1),(381,1),(386,1),(514,1),(517,1)}
       338:{1,2,5,7}:{(284,1),(285,1),(289,1),(372,1),(388,1),(400,1)}
       339:{1,3,6,7}:{(285,1),(286,1),(290,1),(373,1),(388,1),(459,1)}
       340:{1,3,4,7}:{(286,1),(287,1),(291,1),(302,1),(384,1),(390,1)}
       341:{1,3,5}:{(287,1),(292,1),(303,1),(385,1)}
       342:{2,4,5,7}:{(288,1),(289,1),(304,1),(375,1),(391,1),(392,1)}
       343:{2,3,5,7}:{(289,1),(290,1),(293,1),(376,1),(388,1),(391,1),(392,1)}
       344:{2,3,4,6,7}:{(290,1),(291,1),(294,1),(306,1),(377,1),(389,1),(392,1),(393,1),(394,1),(402,1),(469,1),(471,1),(511,1),(542,1)}
       345:{2,3,5,7}:{(291,1),(292,1),(295,1),(307,1),(390,1),(394,1)}
       346:{1,4,7}:{(293,1),(378,1),(392,1)}
       347:{1,3,5,7}:{(294,1),(296,1),(379,1),(393,1),(395,1),(396,1),(517,1)}
       348:{1,3,6}:{(295,1),(297,1),(394,1)}
       349:{1,2,5,6}:{(296,1),(297,1),(396,1),(404,1),(552,1)}
       350:{1,3,6,7}:{(298,1),(299,1),(386,1),(397,1)}
       351:{1,2,4,6,7}:{(299,1),(300,1),(304,1),(387,1),(397,1),(398,1),(399,1),(471,1),(513,1)}
       352:{1,3,5,6,7}:{(300,1),(301,1),(305,1),(388,1),(398,1),(399,1),(400,1),(467,1),(472,1)}
       353:{1,4,6,7}:{(301,1),(302,1),(306,1),(400,1),(401,1)}
       354:{1,4,5,7}:{(302,1),(303,1),(307,1),(390,1),(400,1),(401,1)}
       355:{3,6,7}:{(304,1),(391,1)}
       356:{2,4,6,7}:{(305,1),(308,1),(392,1),(399,1),(402,1),(403,1),(469,1)}
       357:{2,5,7}:{(306,1),(309,1),(400,1),(404,1)}
       358:{2,4,6}:{(307,1),(310,1),(394,1),(401,1),(404,1)}
       359:{1,4,5,7}:{(308,1),(309,1),(403,1),(405,1),(517,1)}
       360:{1,3,5,6}:{(309,1),(310,1),(404,1),(405,1),(474,1)}
       361:{1,3,4,5}:{(311,1),(314,1),(406,1),(422,1),(486,1)}
       362:{2,3,5}:{(311,1),(312,1),(406,1),(407,1)}
       363:{1,3,4,6}:{(312,1),(313,1),(316,1),(407,1),(408,1),(411,1),(479,1),(521,1)}
       364:{1,2,4,7}:{(313,1),(317,1),(408,1),(409,1)}
       365:{2,4,6}:{(314,1),(315,1),(331,1),(406,1),(411,1)}
       366:{1,3,5,6}:{(315,1),(316,1),(320,1),(332,1),(407,1),(411,1),(412,1),(479,1)}
       367:{1,2,6}:{(316,1),(317,1)}
       368:{1,2,3,5,7}:{(317,1),(318,1),(322,1),(334,1),(409,1),(413,1),(414,1),(427,1),(477,1),(481,1)}
       369:{1,2,4}:{(318,1),(323,1)}
       370:{2,3,5,6}:{(319,1),(336,1),(410,1),(415,1),(419,1)}
       371:{1,4,5,6}:{(319,1),(320,1),(337,1),(411,1),(415,1),(525,1),(533,1)}
       372:{1,2,5,6}:{(320,1),(321,1),(325,1),(338,1),(417,1),(441,1),(481,1)}
       373:{1,3,6}:{(321,1),(322,1),(326,1)}
       374:{1,3,4,7}:{(322,1),(323,1),(327,1),(414,1),(418,1),(430,1),(521,1)}
       375:{2,4,5,6}:{(324,1),(325,1),(342,1),(419,1),(420,1)}
       376:{2,3,5,6}:{(325,1),(326,1),(328,1),(343,1),(417,1),(419,1),(420,1),(421,1)}
       377:{2,3,4,6}:{(326,1),(327,1),(329,1),(418,1),(420,1),(421,1)}
       378:{1,4,6}:{(328,1),(346,1),(420,1),(422,1)}
       379:{1,3,5}:{(329,1),(330,1),(421,1),(422,1)}
       380:{2,3,4,7}:{(331,1),(336,1),(410,1),(423,1),(433,1),(488,1),(493,1)}
       381:{1,4,7}:{(331,1),(332,1),(411,1)}
       382:{1,2,5,7}:{(332,1),(333,1),(412,1),(424,1),(428,1)}
       383:{1,2,3,6,7}:{(333,1),(334,1),(339,1),(413,1),(425,1),(426,1),(438,1),(530,1)}
       384:{1,2,4,7}:{(334,1),(335,1),(340,1),(427,1)}
       385:{1,2,5}:{(335,1),(341,1)}
       386:{1,3,5,7}:{(336,1),(337,1),(350,1),(415,1),(423,1),(428,1)}
       387:{1,2,4,5,7}:{(337,1),(338,1),(342,1),(351,1),(416,1),(424,1),(428,1),(429,1),(430,1),(440,1),(493,1),(498,1)}
       388:{1,3,5,7}:{(338,1),(339,1),(343,1),(417,1),(430,1)}
       389:{1,3,4,6,7}:{(339,1),(340,1),(344,1),(353,1),(418,1),(426,1),(430,1),(431,1),(432,1),(489,1),(495,1),(530,1)}
       390:{1,3,5,7}:{(340,1),(341,1),(345,1),(354,1),(427,1),(432,1)}
       391:{3,5,7}:{(342,1),(355,1),(419,1),(433,1)}
       392:{2,4,7}:{(343,1),(346,1),(420,1),(430,1),(433,1)}
       393:{2,3,5,7}:{(344,1),(347,1),(357,1),(421,1),(431,1),(434,1),(435,1),(442,1),(498,1)}
       394:{2,3,6}:{(345,1),(348,1),(358,1),(432,1)}
       395:{1,4,5,7}:{(346,1),(347,1),(422,1),(434,1),(436,1)}
       396:{1,3,5,6}:{(347,1),(348,1),(349,1),(435,1),(436,1),(533,1),(549,1)}
       397:{2,6,7}:{(350,1),(428,1)}
       398:{1,3,6,7}:{(351,1),(355,1),(429,1),(438,1),(530,1)}
       399:{1,4,6,7}:{(352,1),(356,1),(430,1),(440,1),(495,1)}
       400:{1,5,7}:{(353,1),(357,1),(441,1)}
       401:{1,4,6}:{(354,1),(358,1),(432,1),(441,1)}
       402:{3,4,6,7}:{(355,1),(356,1),(433,1),(442,1),(496,1)}
       403:{2,4,5,7}:{(356,1),(357,1),(359,1),(440,1),(442,1),(443,1),(498,1)}
       404:{2,5,6}:{(357,1),(358,1),(360,1),(441,1)}
       405:{1,4,5,6}:{(359,1),(360,1),(436,1),(443,1),(533,1)}
       406:{2,4,5}:{(361,1),(362,1),(365,1),(445,1)}
       407:{1,3,5}:{(362,1),(363,1),(445,1),(446,1)}
       408:{1,2,4,6}:{(363,1),(364,1),(367,1),(446,1),(447,1),(502,1)}
       409:{1,2,3,7}:{(364,1),(447,1),(459,1)}
       410:{2,3,4,6}:{(365,1),(370,1),(380,1),(444,1),(448,1),(456,1),(504,1),(508,1)}
       411:{1,4,6}:{(365,1),(366,1),(381,1),(445,1)}
       412:{1,2,5,6}:{(366,1),(367,1),(382,1),(446,1),(449,1),(452,1)}
       413:{1,2,3,6}:{(367,1),(368,1),(373,1),(451,1),(462,1)}
       414:{1,2,4,7}:{(368,1),(369,1),(374,1),(451,1),(502,1)}
       415:{1,3,5,6}:{(370,1),(371,1),(386,1),(448,1),(452,1)}
       416:{1,2,4,5,6}:{(371,1),(372,1),(375,1),(387,1),(449,1),(452,1),(453,1),(454,1),(473,1),(506,1),(508,1),(513,1),(518,1)}
       417:{1,3,5,6}:{(372,1),(373,1),(376,1),(388,1),(454,1),(455,1)}
       418:{1,3,4,6}:{(373,1),(374,1),(377,1),(451,1),(454,1),(455,1)}
       419:{3,5,6}:{(375,1),(391,1),(456,1)}
       420:{2,4,6}:{(376,1),(378,1),(392,1),(454,1),(456,1),(457,1)}
       421:{2,3,5}:{(377,1),(379,1),(455,1),(457,1)}
       422:{1,4,5}:{(378,1),(379,1),(457,1)}
       423:{1,3,4,7}:{(380,1),(381,1),(386,1),(448,1),(458,1),(459,1),(510,1),(514,1)}
       424:{1,2,4,7}:{(381,1),(382,1),(449,1),(458,1),(459,1)}
       425:{1,2,3,5,7}:{(382,1),(383,1),(388,1),(450,1),(459,1),(460,1),(461,1),(464,1),(512,1)}
       426:{1,2,4,6,7}:{(383,1),(384,1),(389,1),(451,1),(460,1),(461,1),(462,1),(471,1),(513,1)}
       427:{1,2,5,7}:{(384,1),(385,1),(390,1),(462,1)}
       428:{2,5,7}:{(386,1),(397,1),(452,1),(458,1)}
       429:{1,3,5,7}:{(387,1),(391,1),(398,1),(453,1),(459,1),(464,1),(465,1)}
       430:{1,4,7}:{(388,1),(392,1),(454,1)}
       431:{1,3,5,7}:{(389,1),(393,1),(400,1),(455,1),(461,1),(466,1),(467,1)}
       432:{1,3,6}:{(390,1),(394,1),(401,1),(462,1)}
       433:{3,4,7}:{(391,1),(392,1),(456,1)}
       434:{2,4,5,7}:{(392,1),(393,1),(395,1),(457,1),(466,1),(468,1),(469,1)}
       435:{2,3,5,6}:{(393,1),(394,1),(396,1),(404,1),(467,1),(469,1),(474,1),(518,1),(542,1)}
       436:{1,4,6}:{(395,1),(396,1),(469,1)}
       437:{1,2,6,7}:{(397,1),(463,1),(470,1),(552,1)}
       438:{2,3,6,7}:{(397,1),(398,1),(464,1),(470,1),(471,1),(542,1)}
       439:{1,3,4,6,7}:{(398,1),(399,1),(402,1),(465,1),(471,1),(472,1),(516,1)}
       440:{1,4,5,7}:{(399,1),(400,1),(403,1),(472,1),(473,1)}
       441:{1,5,6}:{(400,1),(401,1),(404,1)}
       442:{3,5,7}:{(402,1),(403,1),(474,1)}
       443:{2,4,5,6}:{(403,1),(404,1),(405,1),(469,1),(473,1),(474,1),(518,1)}
       444:{2,3,4,5}:{(406,1),(410,1),(475,1),(486,1),(520,1),(526,1)}
       445:{1,4,5}:{(406,1),(407,1),(411,1)}
       446:{1,2,5}:{(407,1),(408,1)}
       447:{1,2,3,6}:{(408,1),(409,1),(477,1),(479,1)}
       448:{1,3,4,6}:{(410,1),(411,1),(415,1),(423,1),(475,1),(478,1),(479,1),(522,1),(525,1)}
       449:{1,2,4,6}:{(411,1),(412,1),(424,1),(476,1),(478,1),(479,1)}
       450:{1,2,3,5,6}:{(412,1),(413,1),(417,1),(425,1),(477,1),(479,1),(480,1),(481,1),(483,1),(491,1),(524,1),(530,1)}
       451:{1,2,4,6}:{(413,1),(414,1),(418,1),(481,1)}
       452:{2,5,6}:{(415,1),(428,1),(478,1)}
       453:{1,3,5,6}:{(416,1),(419,1),(429,1),(479,1),(483,1),(484,1),(524,1),(530,1)}
       454:{1,4,6}:{(417,1),(420,1),(430,1),(485,1)}
       455:{1,3,5}:{(418,1),(421,1),(481,1),(485,1)}
       456:{3,4,6}:{(419,1),(420,1),(433,1),(486,1)}
       457:{2,4,5}:{(420,1),(421,1),(422,1),(485,1),(486,1)}
       458:{2,4,7}:{(423,1),(428,1),(478,1),(488,1)}
       459:{1,3,7}:{(424,1),(479,1),(488,1)}
       460:{1,2,4,7}:{(425,1),(430,1),(480,1),(489,1),(493,1)}
       461:{1,2,5,7}:{(426,1),(431,1),(481,1),(491,1),(498,1)}
       462:{1,2,6}:{(427,1),(432,1)}
       463:{1,2,5,7}:{(428,1),(437,1),(482,1),(487,1),(492,1)}
       464:{2,3,5,7}:{(428,1),(429,1),(438,1),(483,1),(488,1),(492,1),(493,1),(498,1)}
       465:{1,3,4,7}:{(429,1),(430,1),(433,1),(484,1),(493,1)}
       466:{1,4,5,7}:{(430,1),(431,1),(434,1),(485,1),(495,1)}
       467:{1,3,5,6}:{(431,1),(432,1),(435,1),(441,1),(491,1),(495,1),(530,1)}
       468:{3,4,5,7}:{(433,1),(434,1),(442,1),(486,1),(496,1)}
       469:{2,4,6}:{(434,1),(435,1),(436,1),(495,1),(496,1)}
       470:{1,3,6,7}:{(437,1),(438,1),(492,1),(497,1),(549,1)}
       471:{2,4,6,7}:{(438,1),(439,1),(493,1),(497,1),(498,1),(532,1)}
       472:{1,3,5,7}:{(439,1),(440,1),(442,1),(498,1),(499,1)}
       473:{1,4,5,6}:{(440,1),(441,1),(443,1),(495,1),(499,1)}
       474:{3,5,6}:{(442,1),(443,1),(496,1)}
       475:{1,3,4,5}:{(444,1),(445,1),(448,1),(500,1),(501,1),(534,1),(539,1)}
       476:{1,2,4,5}:{(445,1),(446,1),(449,1),(500,1),(501,1),(502,1)}
       477:{1,2,3,5}:{(446,1),(447,1),(501,1),(502,1)}
       478:{2,4,6}:{(448,1),(452,1),(458,1),(500,1),(504,1)}
       479:{1,3,6}:{(449,1),(459,1),(501,1),(504,1)}
       480:{1,2,4,6}:{(450,1),(454,1),(460,1),(502,1),(505,1),(506,1),(508,1)}
       481:{1,2,5}:{(451,1),(455,1)}
       482:{1,2,5,6}:{(452,1),(463,1),(503,1),(507,1),(551,1),(552,1)}
       483:{2,3,5,6}:{(452,1),(453,1),(464,1),(504,1),(507,1),(508,1),(518,1),(538,1),(542,1)}
       484:{1,3,4,6}:{(453,1),(454,1),(456,1),(465,1),(508,1),(509,1)}
       485:{1,4,5}:{(454,1),(455,1),(457,1)}
       486:{3,4,5}:{(456,1),(457,1)}
       487:{1,2,4,7}:{(458,1),(463,1),(503,1),(510,1),(514,1)}
       488:{2,3,7}:{(458,1),(459,1),(504,1),(510,1)}
       489:{1,3,4,7}:{(459,1),(460,1),(505,1),(511,1),(512,1)}
       490:{1,2,4,5,7}:{(460,1),(461,1),(466,1),(506,1),(512,1),(513,1),(515,1)}
       491:{1,2,5,6}:{(461,1),(462,1),(467,1),(513,1),(518,1)}
       492:{1,3,5,7}:{(463,1),(464,1),(470,1),(507,1),(510,1),(514,1),(517,1)}
       493:{2,4,7}:{(464,1),(465,1),(508,1),(514,1)}
       494:{1,3,4,5,7}:{(465,1),(466,1),(468,1),(472,1),(509,1),(512,1),(515,1),(516,1)}
       495:{1,4,6}:{(466,1),(467,1),(469,1)}
       496:{3,4,6}:{(468,1),(469,1),(474,1)}
       497:{1,4,6,7}:{(470,1),(471,1),(514,1),(517,1),(543,1)}
       498:{2,5,7}:{(471,1),(472,1),(517,1),(518,1)}
       499:{1,3,5,6}:{(472,1),(473,1),(474,1),(516,1),(518,1)}
       500:{2,4,5}:{(475,1),(478,1),(520,1)}
       501:{1,3,5}:{(476,1),(479,1),(520,1),(521,1)}
       502:{1,2,4}:{(477,1),(521,1)}
       503:{1,2,4,6}:{(478,1),(482,1),(487,1),(519,1),(522,1),(525,1)}
       504:{2,3,6}:{(478,1),(479,1),(488,1),(520,1),(522,1)}
       505:{1,3,4,6}:{(479,1),(480,1),(489,1),(521,1),(523,1),(524,1),(530,1)}
       506:{1,2,4,5}:{(480,1),(481,1),(485,1),(524,1),(526,1)}
       507:{1,3,5,6}:{(482,1),(483,1),(492,1),(522,1),(525,1),(533,1),(547,1),(549,1)}
       508:{2,4,6}:{(483,1),(484,1),(493,1),(525,1),(526,1)}
       509:{1,3,4,5}:{(484,1),(485,1),(486,1),(524,1),(526,1)}
       510:{1,3,7}:{(487,1),(488,1),(522,1)}
       511:{2,3,4,7}:{(488,1),(489,1),(493,1),(523,1),(528,1),(529,1)}
       512:{1,3,5,7}:{(489,1),(490,1),(524,1),(529,1),(530,1)}
       513:{1,2,4,6}:{(490,1),(491,1),(495,1),(530,1),(532,1)}
       514:{1,4,7}:{(492,1),(493,1),(525,1)}
       515:{2,4,5,7}:{(493,1),(494,1),(498,1),(526,1),(529,1),(531,1),(532,1)}
       516:{1,3,4,6}:{(494,1),(495,1),(496,1),(499,1),(530,1),(532,1)}
       517:{1,5,7}:{(497,1),(498,1),(533,1)}
       518:{2,5,6}:{(498,1),(499,1),(532,1),(533,1)}
       519:{1,2,4,5}:{(500,1),(503,1),(534,1),(539,1),(550,1),(551,1)}
       520:{2,3,5}:{(500,1),(501,1),(504,1),(534,1),(535,1)}
       521:{1,3,4}:{(501,1),(502,1),(535,1)}
       522:{1,3,6}:{(503,1),(504,1),(510,1),(534,1)}
       523:{2,3,4,6}:{(504,1),(505,1),(508,1),(511,1),(535,1),(537,1),(538,1),(542,1)}
       524:{1,3,5}:{(505,1),(506,1),(538,1)}
       525:{1,4,6}:{(507,1),(508,1),(514,1),(539,1)}
       526:{2,4,5}:{(508,1),(509,1),(538,1),(539,1)}
       527:{1,2,3,7}:{(510,1),(536,1),(540,1)}
       528:{1,3,4,7}:{(510,1),(511,1),(514,1),(537,1),(540,1),(541,1)}
       529:{2,3,5,7}:{(511,1),(512,1),(515,1),(538,1),(541,1),(542,1)}
       530:{1,3,6}:{(512,1),(513,1),(542,1)}
       531:{1,4,5,7}:{(514,1),(515,1),(517,1),(539,1),(541,1),(543,1)}
       532:{2,4,6}:{(515,1),(516,1),(518,1),(542,1),(543,1)}
       533:{1,5,6}:{(517,1),(518,1),(543,1)}
       534:{1,3,5}:{(519,1),(520,1),(522,1),(545,1)}
       535:{2,3,4}:{(520,1),(521,1),(545,1)}
       536:{1,2,3,6}:{(522,1),(527,1),(544,1),(546,1)}
       537:{1,3,4,6}:{(522,1),(523,1),(525,1),(528,1),(545,1),(546,1),(547,1),(549,1)}
       538:{2,3,5}:{(523,1),(524,1),(526,1),(547,1)}
       539:{1,4,5}:{(525,1),(526,1),(547,1)}
       540:{1,2,4,7}:{(527,1),(528,1),(546,1),(548,1)}
       541:{1,3,5,7}:{(528,1),(529,1),(531,1),(547,1),(548,1),(549,1)}
       542:{2,3,6}:{(529,1),(530,1),(532,1),(549,1)}
       543:{1,4,6}:{(531,1),(532,1),(533,1),(549,1)}
       544:{1,2,3,5}:{(534,1),(536,1),(550,1),(551,1)}
       545:{1,3,4}:{(534,1),(535,1),(550,1)}
       546:{1,2,4,6}:{(536,1),(537,1),(540,1),(550,1),(551,1),(552,1)}
       547:{1,3,5}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,2,5,7}:{(540,1),(541,1),(551,1),(552,1)}
       549:{1,3,6}:{(541,1),(542,1),(543,1),(552,1)}
       550:{1,2,4}:{(544,1),(545,1)}
       551:{1,2,5}:{(546,1),(547,1)}
       552:{1,2,6}:{(548,1),(549,1)}

1965 :   0:{1,2,3,5,6}:{(2,1),(3,1),(15,1),(18,1),(67,1),(68,1),(123,1),(221,1),(310,1),(400,1),(408,1),(467,1)}
         1:{1,2,4,5,6}:{(5,1),(6,1),(7,1),(27,1),(31,1),(39,1),(87,1),(168,1),(191,1),(192,1),(368,1),(378,1),(444,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(31,1),(357,1),(444,1)}
         3:{1,2,3,5,7}:{(0,1),(9,1),(10,1),(34,1),(38,1),(43,1),(172,1),(274,1),(371,1)}
         4:{1,3,4,5,6}:{(12,1),(13,1),(14,1),(46,1),(51,1),(140,1),(220,1),(333,1),(334,1),(418,1)}
         5:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(18,1),(67,1),(221,1),(418,1)}
         6:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(53,1),(59,1),(132,1),(144,1),(145,1),(222,1),(325,1),(336,1),(411,1)}
         7:{1,2,4,5}:{(2,1),(18,1),(56,1),(467,1),(474,1)}
         8:{1,3,4,6}:{(2,1),(18,1),(20,1),(21,1),(67,1),(221,1),(319,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(21,1),(59,1),(411,1)}
        10:{1,2,3,6,7}:{(3,1),(22,1),(63,1),(67,1),(226,1),(324,1),(400,1),(492,1)}
        11:{1,2,4,5,6}:{(24,1),(25,1),(27,1),(73,1),(78,1),(87,1),(96,1),(160,1),(272,1),(273,1),(295,1),(378,1),(386,1)}
        12:{2,4,5,6}:{(4,1),(26,1),(27,1),(28,1),(31,1),(78,1),(87,1),(191,1),(272,1)}
        13:{1,3,4,5,7}:{(4,1),(28,1),(29,1),(32,1),(79,1),(88,1),(99,1),(171,1),(288,1),(289,1),(381,1)}
        14:{1,3,4,6}:{(5,1),(30,1),(31,1),(32,1),(444,1),(452,1)}
        15:{2,3,5,6}:{(5,1),(31,1),(33,1),(34,1),(37,1),(87,1),(106,1),(179,1),(191,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(32,1),(34,1),(35,1),(274,1),(381,1)}
        17:{1,2,4,6,7}:{(6,1),(35,1),(36,1),(39,1),(90,1),(98,1),(103,1),(183,1),(290,1)}
        18:{1,3,5}:{(7,1),(8,1),(37,1)}
        19:{1,2,4,5,7}:{(7,1),(9,1),(38,1),(39,1),(43,1),(94,1),(112,1)}
        20:{2,3,4,6}:{(8,1),(31,1),(37,1),(40,1),(41,1),(106,1),(179,1),(281,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(38,1),(41,1),(274,1)}
        22:{1,2,4,6,7}:{(9,1),(10,1),(39,1),(42,1),(43,1),(98,1),(436,1),(465,1),(466,1)}
        23:{1,2,3,5,6}:{(44,1),(45,1),(47,1),(61,1),(113,1),(141,1),(149,1),(211,1),(212,1),(253,1),(342,1),(350,1)}
        24:{1,3,5,6}:{(11,1),(46,1),(47,1),(48,1),(113,1),(141,1),(211,1),(418,1)}
        25:{1,2,4,5,7}:{(11,1),(48,1),(49,1),(53,1),(121,1),(132,1),(142,1),(224,1),(225,1),(247,1),(336,1),(345,1)}
        26:{2,3,5,6}:{(12,1),(50,1),(51,1),(52,1),(418,1)}
        27:{1,4,5,6}:{(12,1),(51,1),(53,1),(58,1),(120,1),(244,1),(322,1)}
        28:{2,4,5,7}:{(12,1),(13,1),(52,1),(53,1),(54,1),(59,1),(121,1),(132,1),(144,1),(224,1)}
        29:{1,3,4,6,7}:{(13,1),(54,1),(55,1),(133,1),(238,1),(239,1),(338,1)}
        30:{1,3,4,5}:{(14,1),(18,1),(56,1),(474,1),(481,1)}
        31:{2,4,6}:{(14,1),(15,1),(56,1),(58,1),(59,1)}
        32:{1,3,4,7}:{(14,1),(16,1),(59,1),(411,1),(420,1)}
        33:{1,3,5,6}:{(15,1),(58,1),(61,1),(62,1),(65,1),(141,1),(151,1),(244,1)}
        34:{2,3,5,7}:{(15,1),(16,1),(59,1),(62,1),(63,1),(132,1),(144,1),(233,1)}
        35:{1,3,6,7}:{(16,1),(17,1),(63,1),(67,1),(338,1)}
        36:{1,2,5,6,7}:{(17,1),(64,1),(68,1),(135,1),(144,1),(237,1),(325,1),(430,1)}
        37:{2,3,5}:{(18,1),(20,1),(56,1),(65,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(21,1),(66,1),(67,1)}
        39:{1,2,4,6}:{(19,1),(67,1),(68,1),(139,1),(153,1)}
        40:{1,3,4,6}:{(20,1),(58,1),(65,1),(69,1),(70,1),(141,1),(151,1),(241,1)}
        41:{2,3,4,7}:{(20,1),(21,1),(59,1),(66,1),(70,1),(233,1)}
        42:{1,3,4,6,7}:{(21,1),(22,1),(67,1),(71,1),(72,1),(153,1),(324,1),(349,1),(407,1),(411,1),(433,1),(434,1)}
        43:{1,2,5,7}:{(22,1),(68,1),(72,1),(144,1),(467,1)}
        44:{1,2,4,6}:{(23,1),(73,1),(74,1),(75,1),(78,1),(200,1),(386,1)}
        45:{1,2,3,5,7}:{(23,1),(75,1),(76,1),(81,1),(100,1),(159,1),(164,1),(193,1),(298,1)}
        46:{1,3,4,6}:{(24,1),(77,1),(78,1),(79,1),(386,1),(452,1)}
        47:{2,3,5,6}:{(24,1),(78,1),(80,1),(81,1),(87,1),(158,1),(179,1),(262,1),(272,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(79,1),(81,1),(82,1),(193,1),(381,1)}
        49:{1,2,4,6,7}:{(25,1),(82,1),(83,1),(90,1),(160,1),(170,1),(175,1),(183,1),(290,1)}
        50:{2,3,4,6}:{(26,1),(31,1),(78,1),(84,1),(85,1),(86,1),(179,1),(452,1)}
        51:{1,3,5,6}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        52:{2,3,5,7}:{(26,1),(28,1),(86,1),(88,1),(89,1),(381,1)}
        53:{1,4,5,7}:{(27,1),(28,1),(88,1),(90,1),(97,1),(169,1),(195,1),(276,1)}
        54:{2,4,6,7}:{(28,1),(29,1),(89,1),(90,1),(91,1),(183,1)}
        55:{1,3,5,6,7}:{(29,1),(91,1),(92,1),(99,1),(171,1),(187,1)}
        56:{2,4,5}:{(30,1),(31,1),(37,1),(93,1)}
        57:{1,3,4,5,7}:{(30,1),(32,1),(38,1),(94,1),(95,1),(99,1),(112,1),(208,1)}
        58:{1,4,6}:{(31,1),(33,1),(93,1),(97,1)}
        59:{2,4,7}:{(31,1),(32,1),(34,1),(97,1)}
        60:{1,3,4,6,7}:{(32,1),(35,1),(95,1),(98,1),(99,1),(103,1),(199,1)}
        61:{1,2,5,6}:{(33,1),(87,1),(96,1),(100,1),(104,1),(202,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(97,1),(100,1),(101,1),(193,1),(195,1)}
        63:{2,3,6,7}:{(34,1),(35,1),(98,1),(101,1),(106,1),(183,1)}
        64:{1,3,5,6,7}:{(35,1),(36,1),(99,1),(102,1),(103,1),(107,1),(371,1),(391,1),(392,1)}
        65:{1,3,5}:{(37,1),(40,1),(93,1),(104,1)}
        66:{2,3,5,7}:{(37,1),(38,1),(41,1),(94,1),(105,1),(106,1)}
        67:{1,3,6}:{(38,1),(39,1),(106,1)}
        68:{1,2,5,6}:{(39,1),(43,1),(107,1),(191,1),(465,1)}
        69:{1,2,4,6}:{(40,1),(104,1),(108,1),(109,1),(200,1),(202,1)}
        70:{1,3,4,7}:{(40,1),(41,1),(97,1),(105,1),(109,1),(193,1)}
        71:{2,3,4,6,7}:{(41,1),(42,1),(98,1),(106,1),(110,1),(111,1),(199,1),(204,1),(286,1),(302,1),(376,1),(380,1),(395,1),(397,1)}
        72:{1,3,5,7}:{(42,1),(43,1),(107,1),(111,1),(112,1),(391,1),(443,1)}
        73:{1,2,4,5}:{(44,1),(113,1),(118,1),(350,1),(424,1)}
        74:{1,3,4,6}:{(44,1),(113,1),(115,1),(116,1),(141,1),(211,1),(241,1)}
        75:{1,2,4,7}:{(44,1),(45,1),(116,1),(121,1),(345,1)}
        76:{1,2,3,6,7}:{(45,1),(117,1),(125,1),(146,1),(211,1),(246,1),(253,1),(541,1)}
        77:{1,3,4,5}:{(46,1),(113,1),(118,1),(424,1),(481,1)}
        78:{2,4,6}:{(46,1),(47,1),(118,1),(120,1),(121,1)}
        79:{1,3,4,7}:{(46,1),(48,1),(121,1),(345,1),(420,1)}
        80:{1,3,5,6}:{(47,1),(120,1),(123,1),(124,1),(209,1),(221,1),(312,1),(322,1)}
        81:{2,3,5,7}:{(47,1),(48,1),(121,1),(124,1),(125,1),(132,1),(224,1),(233,1)}
        82:{1,3,6,7}:{(48,1),(49,1),(125,1),(211,1),(338,1)}
        83:{1,2,5,6,7}:{(49,1),(126,1),(135,1),(212,1),(224,1),(237,1),(247,1),(480,1)}
        84:{2,3,4,5}:{(50,1),(56,1),(118,1),(127,1),(229,1),(481,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(58,1),(120,1),(127,1),(129,1),(130,1),(141,1),(221,1)}
        86:{2,3,4,7}:{(50,1),(52,1),(59,1),(121,1),(130,1),(233,1),(420,1)}
        87:{2,5,6}:{(51,1),(129,1),(132,1)}
        88:{1,3,5,7}:{(51,1),(52,1),(53,1),(130,1),(132,1),(133,1)}
        89:{2,3,6,7}:{(52,1),(54,1),(133,1),(338,1)}
        90:{1,4,6,7}:{(53,1),(54,1),(133,1),(135,1)}
        91:{2,5,6,7}:{(54,1),(55,1),(135,1),(144,1),(224,1)}
        92:{1,4,5,6,7}:{(55,1),(136,1),(145,1),(225,1),(238,1),(340,1)}
        93:{1,4,5}:{(56,1),(58,1),(65,1)}
        94:{2,4,5,7}:{(56,1),(57,1),(59,1),(66,1),(138,1),(139,1),(144,1)}
        95:{1,3,4,6}:{(57,1),(67,1),(139,1),(140,1),(153,1),(256,1)}
        96:{1,2,4,6}:{(58,1),(61,1),(129,1),(137,1),(141,1),(142,1)}
        97:{1,4,7}:{(58,1),(59,1),(62,1)}
        98:{2,4,6,7}:{(59,1),(60,1),(63,1),(139,1),(143,1),(144,1)}
        99:{1,3,5,7}:{(60,1),(140,1),(144,1),(145,1),(249,1)}
       100:{1,2,5,7}:{(61,1),(62,1),(132,1),(142,1),(146,1)}
       101:{1,3,6,7}:{(62,1),(63,1),(143,1),(146,1),(151,1)}
       102:{2,3,5,6,7}:{(63,1),(64,1),(144,1),(147,1),(148,1),(152,1),(237,1),(249,1),(335,1),(338,1),(347,1),(348,1)}
       103:{1,4,6,7}:{(64,1),(145,1),(148,1),(153,1),(411,1)}
       104:{1,2,5}:{(65,1),(69,1)}
       105:{1,3,5,7}:{(65,1),(66,1),(70,1),(138,1),(150,1),(151,1)}
       106:{2,3,6}:{(66,1),(67,1),(139,1),(151,1)}
       107:{1,3,5,6}:{(67,1),(68,1),(72,1),(152,1),(153,1),(427,1),(433,1)}
       108:{1,2,3,6}:{(69,1),(141,1),(149,1),(154,1)}
       109:{1,2,4,7}:{(69,1),(70,1),(150,1),(154,1)}
       110:{1,3,4,6,7}:{(70,1),(71,1),(143,1),(151,1),(155,1),(156,1),(246,1),(255,1),(341,1),(345,1),(352,1),(354,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(144,1),(152,1),(156,1),(157,1),(249,1),(347,1),(416,1)}
       112:{1,4,5,7}:{(72,1),(153,1),(157,1),(411,1),(474,1)}
       113:{1,3,5}:{(73,1),(74,1),(158,1)}
       114:{1,2,4,5,7}:{(73,1),(75,1),(159,1),(160,1),(164,1),(166,1),(268,1)}
       115:{2,3,4,6}:{(74,1),(78,1),(158,1),(161,1),(162,1),(179,1),(262,1),(281,1)}
       116:{1,3,4,7}:{(74,1),(75,1),(159,1),(162,1),(193,1)}
       117:{1,2,4,6,7}:{(75,1),(76,1),(160,1),(163,1),(164,1),(170,1),(303,1),(530,1),(531,1)}
       118:{2,4,5}:{(77,1),(78,1),(158,1),(165,1)}
       119:{1,3,4,5,7}:{(77,1),(79,1),(159,1),(166,1),(167,1),(171,1),(268,1),(365,1)}
       120:{1,4,6}:{(78,1),(80,1),(165,1),(169,1)}
       121:{2,4,7}:{(78,1),(79,1),(81,1),(169,1)}
       122:{1,3,4,6,7}:{(79,1),(82,1),(167,1),(170,1),(171,1),(175,1),(280,1)}
       123:{1,2,5,6}:{(80,1),(87,1),(168,1),(172,1),(260,1),(359,1)}
       124:{1,3,5,7}:{(80,1),(81,1),(169,1),(172,1),(173,1),(274,1),(276,1)}
       125:{2,3,6,7}:{(81,1),(82,1),(170,1),(173,1),(183,1),(262,1)}
       126:{1,3,5,6,7}:{(82,1),(83,1),(171,1),(174,1),(175,1),(263,1),(298,1),(449,1),(450,1)}
       127:{1,3,4,5}:{(84,1),(85,1),(93,1),(165,1),(176,1),(188,1),(269,1)}
       128:{2,3,4,5,7}:{(84,1),(86,1),(94,1),(166,1),(177,1),(178,1),(182,1),(208,1),(282,1),(309,1),(365,1),(380,1),(442,1),(451,1),(455,1),(504,1)}
       129:{2,4,6}:{(85,1),(87,1),(176,1),(179,1),(180,1)}
       130:{1,3,4,7}:{(85,1),(86,1),(88,1),(97,1),(169,1),(180,1),(193,1),(274,1)}
       131:{2,3,4,6,7}:{(86,1),(89,1),(98,1),(170,1),(178,1),(181,1),(182,1),(185,1),(199,1),(280,1),(286,1),(302,1),(375,1),(380,1),(383,1),(455,1)}
       132:{2,5,7}:{(87,1),(88,1),(180,1),(183,1)}
       133:{1,3,6,7}:{(88,1),(89,1),(90,1),(183,1)}
       134:{2,3,5,6,7}:{(89,1),(91,1),(182,1),(184,1),(185,1),(187,1),(292,1),(383,1)}
       135:{1,5,6,7}:{(90,1),(91,1),(195,1),(276,1)}
       136:{2,4,5,6,7}:{(91,1),(92,1),(185,1),(186,1),(187,1),(196,1),(277,1),(290,1),(292,1)}
       137:{1,2,4,5}:{(93,1),(96,1),(104,1),(176,1),(188,1),(200,1)}
       138:{1,4,5,7}:{(93,1),(94,1),(97,1),(105,1),(190,1),(195,1)}
       139:{2,4,6}:{(94,1),(95,1),(106,1),(190,1),(191,1)}
       140:{1,3,5,6}:{(95,1),(99,1),(191,1),(192,1),(297,1)}
       141:{1,3,6}:{(96,1),(179,1),(188,1),(193,1)}
       142:{1,2,4,7}:{(96,1),(97,1),(100,1),(180,1),(193,1)}
       143:{1,4,6,7}:{(97,1),(98,1),(101,1),(190,1),(195,1)}
       144:{2,5,7}:{(98,1),(99,1),(191,1),(195,1)}
       145:{1,4,5,7}:{(99,1),(103,1),(192,1),(196,1),(391,1)}
       146:{1,2,6,7}:{(100,1),(101,1),(183,1),(202,1)}
       147:{1,3,5,6,7}:{(101,1),(102,1),(195,1),(197,1),(198,1),(203,1),(298,1),(300,1),(301,1)}
       148:{2,4,6,7}:{(102,1),(103,1),(196,1),(198,1),(199,1),(204,1),(380,1)}
       149:{1,2,3,5}:{(104,1),(108,1),(188,1),(200,1)}
       150:{1,2,5,7}:{(104,1),(105,1),(109,1),(202,1)}
       151:{1,3,6}:{(105,1),(106,1),(190,1),(202,1)}
       152:{2,3,5,6}:{(106,1),(107,1),(111,1),(191,1),(203,1),(204,1),(297,1),(388,1),(395,1)}
       153:{1,4,6}:{(107,1),(112,1),(204,1)}
       154:{1,2,3,7}:{(108,1),(109,1),(193,1)}
       155:{1,2,4,6,7}:{(109,1),(110,1),(202,1),(205,1),(206,1),(302,1),(303,1),(305,1),(307,1)}
       156:{1,3,5,7}:{(110,1),(111,1),(195,1),(203,1),(206,1),(207,1),(385,1)}
       157:{2,4,5,7}:{(111,1),(112,1),(204,1),(207,1),(208,1),(380,1),(451,1)}
       158:{2,3,5}:{(113,1),(115,1),(118,1),(209,1)}
       159:{1,3,5,7}:{(113,1),(114,1),(116,1),(210,1),(211,1)}
       160:{1,2,4,6}:{(114,1),(211,1),(212,1),(219,1),(314,1)}
       161:{1,3,4,6}:{(115,1),(120,1),(209,1),(213,1),(214,1),(221,1),(312,1),(319,1)}
       162:{2,3,4,7}:{(115,1),(116,1),(121,1),(210,1),(214,1),(233,1)}
       163:{1,3,4,6,7}:{(116,1),(117,1),(211,1),(215,1),(216,1),(246,1),(314,1),(341,1),(345,1),(415,1),(515,1),(516,1)}
       164:{1,2,5,7}:{(117,1),(212,1),(216,1),(224,1),(350,1)}
       165:{1,4,5}:{(118,1),(120,1),(209,1)}
       166:{2,4,5,7}:{(118,1),(119,1),(121,1),(210,1),(218,1),(219,1),(224,1)}
       167:{1,3,4,6}:{(119,1),(211,1),(219,1),(220,1),(314,1),(403,1)}
       168:{1,2,4,6}:{(120,1),(123,1),(129,1),(217,1),(221,1),(222,1)}
       169:{1,4,7}:{(120,1),(121,1),(124,1)}
       170:{2,4,6,7}:{(121,1),(122,1),(125,1),(219,1),(223,1),(224,1)}
       171:{1,3,5,7}:{(122,1),(220,1),(224,1),(225,1),(327,1)}
       172:{1,2,5,7}:{(123,1),(124,1),(132,1),(222,1),(226,1)}
       173:{1,3,6,7}:{(124,1),(125,1),(223,1),(226,1),(312,1)}
       174:{2,3,5,6,7}:{(125,1),(126,1),(224,1),(227,1),(228,1),(237,1),(313,1),(327,1),(335,1),(338,1),(413,1),(414,1)}
       175:{1,4,6,7}:{(126,1),(225,1),(228,1),(314,1),(345,1)}
       176:{2,4,5}:{(127,1),(129,1),(229,1)}
       177:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(138,1),(218,1),(230,1),(231,1),(235,1),(242,1),(320,1),(345,1),(356,1),(411,1),(420,1),(424,1),(473,1),(474,1),(481,1),(484,1),(522,1)}
       178:{2,3,4,6}:{(128,1),(139,1),(219,1),(231,1),(232,1),(256,1),(331,1),(353,1),(403,1),(417,1),(470,1)}
       179:{2,3,6}:{(129,1),(141,1),(221,1),(229,1),(233,1)}
       180:{2,4,7}:{(129,1),(130,1),(132,1),(233,1)}
       181:{1,3,4,6,7}:{(130,1),(131,1),(133,1),(143,1),(223,1),(231,1),(234,1),(235,1),(238,1),(246,1),(324,1),(338,1),(345,1),(349,1),(411,1),(415,1),(420,1),(423,1),(484,1)}
       182:{2,3,5,7}:{(131,1),(144,1),(224,1),(232,1),(235,1),(236,1),(249,1),(327,1),(347,1),(413,1)}
       183:{2,6,7}:{(132,1),(133,1)}
       184:{1,3,5,6,7}:{(133,1),(134,1),(135,1),(235,1),(237,1),(238,1),(338,1),(340,1),(423,1)}
       185:{2,4,6,7}:{(134,1),(236,1),(238,1),(239,1)}
       186:{1,4,5,6,7}:{(135,1),(136,1),(238,1),(240,1),(248,1),(326,1)}
       187:{3,5,6,7}:{(136,1),(239,1),(249,1),(327,1),(338,1)}
       188:{1,3,5}:{(137,1),(141,1),(229,1),(241,1)}
       189:{1,2,4,5,7}:{(137,1),(138,1),(142,1),(150,1),(230,1),(242,1),(243,1),(247,1),(252,1),(345,1),(350,1),(424,1),(473,1),(517,1),(521,1),(542,1)}
       190:{1,4,6}:{(138,1),(139,1),(151,1),(244,1)}
       191:{2,5,6}:{(139,1),(140,1),(144,1),(244,1)}
       192:{1,4,5,6}:{(140,1),(145,1),(153,1),(245,1),(427,1)}
       193:{1,3,7}:{(141,1),(142,1),(233,1)}
       194:{1,2,4,6,7}:{(142,1),(143,1),(146,1),(234,1),(243,1),(246,1),(247,1),(345,1),(415,1),(480,1),(521,1)}
       195:{1,5,7}:{(143,1),(144,1),(244,1)}
       196:{2,4,5,7}:{(144,1),(145,1),(148,1),(245,1),(248,1),(249,1),(347,1)}
       197:{1,2,5,6,7}:{(146,1),(147,1),(237,1),(247,1),(250,1),(254,1),(340,1),(347,1)}
       198:{1,4,6,7}:{(147,1),(148,1),(248,1),(255,1),(345,1)}
       199:{3,4,6,7}:{(148,1),(249,1),(256,1),(338,1),(420,1)}
       200:{1,2,4}:{(149,1),(241,1)}
       201:{1,2,3,5,7}:{(149,1),(150,1),(154,1),(242,1),(252,1),(253,1),(350,1),(517,1),(541,1),(550,1)}
       202:{1,2,6}:{(150,1),(151,1)}
       203:{1,3,5,6}:{(151,1),(152,1),(156,1),(244,1),(254,1),(255,1),(352,1)}
       204:{2,4,6}:{(152,1),(153,1),(157,1),(255,1),(256,1)}
       205:{1,2,3,6,7}:{(154,1),(155,1),(246,1),(253,1),(257,1),(348,1),(352,1),(480,1)}
       206:{1,2,5,7}:{(155,1),(156,1),(254,1),(347,1),(350,1)}
       207:{1,4,5,7}:{(156,1),(157,1),(255,1),(345,1),(424,1)}
       208:{3,4,5,7}:{(157,1),(249,1),(256,1),(420,1),(481,1)}
       209:{1,3,5}:{(158,1),(161,1),(165,1),(260,1)}
       210:{2,3,5,7}:{(158,1),(159,1),(162,1),(166,1),(261,1),(262,1)}
       211:{1,3,6}:{(159,1),(160,1),(262,1)}
       212:{1,2,5,6}:{(160,1),(164,1),(263,1),(272,1),(530,1)}
       213:{1,2,4,6}:{(161,1),(260,1),(264,1),(265,1),(357,1),(359,1)}
       214:{1,3,4,7}:{(161,1),(162,1),(169,1),(261,1),(265,1),(274,1)}
       215:{2,3,4,6,7}:{(162,1),(163,1),(170,1),(262,1),(266,1),(267,1),(280,1),(286,1),(361,1),(375,1),(376,1),(380,1),(495,1),(497,1)}
       216:{1,3,5,7}:{(163,1),(164,1),(263,1),(267,1),(268,1),(385,1),(449,1)}
       217:{1,2,4,5}:{(165,1),(168,1),(176,1),(260,1),(269,1),(357,1)}
       218:{1,4,5,7}:{(165,1),(166,1),(169,1),(261,1),(271,1),(276,1)}
       219:{2,4,6}:{(166,1),(167,1),(262,1),(271,1),(272,1)}
       220:{1,3,5,6}:{(167,1),(171,1),(272,1),(273,1),(370,1)}
       221:{1,3,6}:{(168,1),(179,1),(269,1),(274,1)}
       222:{1,2,4,7}:{(168,1),(169,1),(172,1),(180,1),(274,1)}
       223:{1,4,6,7}:{(169,1),(170,1),(173,1),(271,1),(276,1)}
       224:{2,5,7}:{(170,1),(171,1),(272,1),(276,1)}
       225:{1,4,5,7}:{(171,1),(175,1),(273,1),(277,1),(449,1)}
       226:{1,2,6,7}:{(172,1),(173,1),(183,1),(359,1)}
       227:{1,3,5,6,7}:{(173,1),(174,1),(276,1),(278,1),(279,1),(360,1),(371,1),(373,1),(374,1)}
       228:{2,4,6,7}:{(174,1),(175,1),(277,1),(279,1),(280,1),(361,1),(380,1)}
       229:{2,3,5}:{(176,1),(179,1),(188,1),(269,1),(281,1)}
       230:{2,4,5,7}:{(176,1),(177,1),(180,1),(282,1),(283,1),(287,1),(380,1),(451,1),(507,1),(535,1)}
       231:{1,3,4,6}:{(177,1),(178,1),(190,1),(271,1),(283,1),(284,1),(294,1),(367,1),(386,1),(396,1),(444,1),(452,1),(496,1)}
       232:{2,3,5,6}:{(178,1),(182,1),(191,1),(272,1),(284,1),(285,1),(297,1),(370,1),(388,1),(446,1)}
       233:{2,3,7}:{(179,1),(180,1),(193,1),(274,1)}
       234:{2,4,6,7}:{(180,1),(181,1),(183,1),(283,1),(286,1),(287,1),(380,1),(457,1),(507,1)}
       235:{1,3,5,7}:{(181,1),(182,1),(195,1),(276,1),(284,1),(287,1),(288,1),(381,1),(391,1),(449,1)}
       236:{2,4,5,7}:{(182,1),(185,1),(285,1),(288,1),(289,1),(380,1)}
       237:{2,5,6,7}:{(183,1),(184,1),(287,1),(290,1),(457,1)}
       238:{1,4,6,7}:{(184,1),(185,1),(288,1),(290,1)}
       239:{3,4,6,7}:{(185,1),(187,1),(289,1)}
       240:{1,3,5,6,7}:{(186,1),(187,1),(291,1),(292,1),(300,1),(373,1)}
       241:{1,3,4}:{(188,1),(200,1),(281,1)}
       242:{1,3,5,7}:{(188,1),(189,1),(193,1),(282,1),(293,1),(294,1),(385,1),(534,1),(548,1)}
       243:{1,2,4,6}:{(189,1),(190,1),(202,1),(283,1),(294,1),(295,1),(386,1),(496,1),(530,1)}
       244:{1,5,6}:{(190,1),(191,1),(195,1)}
       245:{2,4,5,6}:{(191,1),(192,1),(196,1),(204,1),(296,1),(297,1),(388,1)}
       246:{1,3,6,7}:{(193,1),(194,1),(286,1),(294,1),(298,1),(534,1)}
       247:{1,2,5,7}:{(194,1),(195,1),(287,1),(295,1),(298,1),(449,1)}
       248:{1,4,5,7}:{(195,1),(196,1),(198,1),(296,1),(300,1)}
       249:{3,5,7}:{(196,1),(199,1),(297,1)}
       250:{1,2,4,6,7}:{(197,1),(198,1),(290,1),(299,1),(301,1),(302,1),(305,1),(384,1),(457,1)}
       251:{1,3,4,6,7}:{(198,1),(199,1),(300,1),(301,1),(302,1),(306,1),(389,1)}
       252:{1,2,4,7}:{(200,1),(201,1),(293,1),(303,1),(552,1)}
       253:{1,2,3,6}:{(201,1),(202,1),(294,1),(303,1),(530,1)}
       254:{1,2,5,6}:{(202,1),(203,1),(206,1),(305,1),(388,1)}
       255:{1,4,6}:{(203,1),(204,1),(207,1)}
       256:{3,4,6}:{(204,1),(208,1),(297,1)}
       257:{1,2,3,5,7}:{(205,1),(206,1),(298,1),(304,1),(307,1),(308,1),(390,1),(503,1),(534,1)}
       258:{1,2,4,5,7}:{(206,1),(207,1),(305,1),(307,1),(308,1),(309,1),(393,1)}
       259:{1,3,4,5,7}:{(207,1),(208,1),(300,1),(306,1),(308,1),(309,1),(389,1),(458,1)}
       260:{1,2,5}:{(209,1),(213,1)}
       261:{1,3,5,7}:{(209,1),(210,1),(214,1),(218,1),(311,1),(312,1)}
       262:{2,3,6}:{(210,1),(211,1),(219,1),(312,1)}
       263:{1,3,5,6}:{(211,1),(212,1),(216,1),(313,1),(314,1),(477,1),(515,1)}
       264:{1,2,3,6}:{(213,1),(221,1),(310,1),(315,1)}
       265:{1,2,4,7}:{(213,1),(214,1),(311,1),(315,1)}
       266:{1,3,4,6,7}:{(214,1),(215,1),(223,1),(312,1),(316,1),(317,1),(324,1),(402,1),(407,1),(411,1),(469,1),(471,1)}
       267:{2,3,5,7}:{(215,1),(216,1),(224,1),(313,1),(317,1),(318,1),(327,1),(413,1),(416,1)}
       268:{1,4,5,7}:{(216,1),(314,1),(318,1),(345,1),(424,1)}
       269:{1,3,5}:{(217,1),(221,1),(229,1),(319,1)}
       270:{1,2,4,5,7}:{(217,1),(218,1),(222,1),(230,1),(311,1),(320,1),(321,1),(325,1),(356,1),(399,1),(411,1),(435,1),(467,1),(474,1),(489,1),(525,1)}
       271:{1,4,6}:{(218,1),(219,1),(312,1),(322,1)}
       272:{2,5,6}:{(219,1),(220,1),(224,1),(322,1)}
       273:{1,4,5,6}:{(220,1),(225,1),(314,1),(323,1),(477,1)}
       274:{1,3,7}:{(221,1),(222,1),(233,1)}
       275:{1,2,4,6,7}:{(222,1),(223,1),(226,1),(234,1),(321,1),(324,1),(325,1),(349,1),(411,1),(430,1),(489,1)}
       276:{1,5,7}:{(223,1),(224,1),(322,1)}
       277:{2,4,5,7}:{(224,1),(225,1),(228,1),(323,1),(326,1),(327,1),(413,1)}
       278:{1,2,5,6,7}:{(226,1),(227,1),(237,1),(325,1),(328,1),(340,1),(401,1),(413,1)}
       279:{1,4,6,7}:{(227,1),(228,1),(326,1),(402,1),(411,1)}
       280:{3,4,6,7}:{(228,1),(327,1),(338,1),(403,1),(420,1)}
       281:{2,3,4}:{(229,1),(241,1),(319,1)}
       282:{2,3,5,7}:{(229,1),(230,1),(233,1),(242,1),(320,1),(330,1),(331,1),(416,1),(524,1),(544,1)}
       283:{2,4,6}:{(230,1),(231,1),(331,1),(332,1)}
       284:{1,3,5,6}:{(231,1),(232,1),(235,1),(244,1),(322,1),(332,1),(333,1),(418,1),(427,1),(477,1)}
       285:{2,4,5,6}:{(232,1),(236,1),(333,1),(334,1),(417,1)}
       286:{2,3,6,7}:{(233,1),(234,1),(246,1),(324,1),(331,1),(335,1),(338,1),(524,1)}
       287:{2,5,7}:{(234,1),(235,1),(332,1)}
       288:{1,4,5,7}:{(235,1),(236,1),(238,1),(333,1),(336,1),(345,1),(411,1)}
       289:{3,4,5,7}:{(236,1),(239,1),(249,1),(327,1),(334,1),(420,1)}
       290:{2,4,6,7}:{(237,1),(238,1),(336,1),(338,1)}
       291:{1,3,4,6,7}:{(238,1),(239,1),(240,1),(337,1),(338,1),(339,1),(423,1)}
       292:{2,5,6,7}:{(240,1),(339,1),(340,1),(347,1),(413,1)}
       293:{1,3,4,7}:{(241,1),(242,1),(252,1),(330,1),(341,1),(345,1),(551,1)}
       294:{1,3,6}:{(242,1),(243,1),(331,1)}
       295:{1,2,5,6}:{(243,1),(244,1),(247,1),(332,1),(342,1),(350,1),(477,1)}
       296:{1,4,5,6}:{(244,1),(245,1),(248,1),(255,1),(344,1)}
       297:{3,5,6}:{(245,1),(249,1),(256,1)}
       298:{1,3,5,7}:{(246,1),(247,1),(335,1),(342,1),(345,1)}
       299:{1,2,4,5,7}:{(247,1),(248,1),(250,1),(336,1),(343,1),(345,1),(346,1),(347,1),(422,1),(428,1),(485,1),(521,1)}
       300:{1,3,5,7}:{(248,1),(249,1),(251,1),(344,1),(347,1)}
       301:{1,3,6,7}:{(250,1),(338,1),(346,1),(348,1),(352,1)}
       302:{2,4,6,7}:{(251,1),(347,1),(348,1),(349,1),(353,1),(428,1)}
       303:{1,2,4,6}:{(252,1),(253,1),(341,1),(350,1)}
       304:{1,2,3,5,6}:{(253,1),(254,1),(257,1),(342,1),(350,1),(351,1),(352,1),(426,1),(431,1),(520,1),(543,1),(550,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(258,1),(352,1),(353,1)}
       306:{1,3,4,6}:{(255,1),(256,1),(259,1),(344,1),(352,1),(353,1)}
       307:{1,2,4,7}:{(257,1),(345,1),(351,1),(354,1),(428,1)}
       308:{1,3,5,7}:{(258,1),(352,1),(354,1),(355,1),(431,1)}
       309:{2,4,5,7}:{(259,1),(347,1),(353,1),(355,1),(356,1),(428,1),(486,1)}
       310:{1,2,3,5}:{(260,1),(264,1),(269,1),(357,1)}
       311:{1,2,5,7}:{(260,1),(261,1),(265,1),(359,1)}
       312:{1,3,6}:{(261,1),(262,1),(271,1),(359,1)}
       313:{2,3,5,6}:{(262,1),(263,1),(267,1),(272,1),(360,1),(361,1),(370,1),(446,1),(495,1)}
       314:{1,4,6}:{(263,1),(268,1),(361,1)}
       315:{1,2,3,7}:{(264,1),(265,1),(274,1)}
       316:{1,2,4,6,7}:{(265,1),(266,1),(359,1),(362,1),(363,1),(375,1),(436,1),(438,1),(440,1)}
       317:{1,3,5,7}:{(266,1),(267,1),(276,1),(360,1),(363,1),(364,1),(443,1)}
       318:{2,4,5,7}:{(267,1),(268,1),(361,1),(364,1),(365,1),(380,1),(451,1)}
       319:{1,3,4}:{(269,1),(281,1),(357,1)}
       320:{1,3,5,7}:{(269,1),(270,1),(274,1),(282,1),(366,1),(367,1),(443,1),(510,1),(537,1)}
       321:{1,2,4,6}:{(270,1),(271,1),(283,1),(359,1),(367,1),(368,1),(396,1),(444,1),(465,1)}
       322:{1,5,6}:{(271,1),(272,1),(276,1)}
       323:{2,4,5,6}:{(272,1),(273,1),(277,1),(361,1),(369,1),(370,1),(446,1)}
       324:{1,3,6,7}:{(274,1),(275,1),(286,1),(367,1),(371,1),(510,1)}
       325:{1,2,5,7}:{(275,1),(276,1),(287,1),(368,1),(371,1),(391,1)}
       326:{1,4,5,7}:{(276,1),(277,1),(279,1),(369,1),(373,1)}
       327:{3,5,7}:{(277,1),(280,1),(370,1)}
       328:{1,2,4,6,7}:{(278,1),(279,1),(290,1),(372,1),(374,1),(375,1),(384,1),(438,1),(457,1)}
       329:{1,3,4,6,7}:{(279,1),(280,1),(373,1),(374,1),(375,1),(439,1),(447,1)}
       330:{2,3,4,7}:{(281,1),(282,1),(293,1),(366,1),(376,1),(380,1),(549,1)}
       331:{2,3,6}:{(282,1),(283,1),(294,1),(367,1)}
       332:{2,5,6}:{(283,1),(284,1),(287,1)}
       333:{1,4,5,6}:{(284,1),(285,1),(288,1),(378,1),(386,1),(444,1)}
       334:{3,4,5,6}:{(285,1),(289,1),(297,1),(370,1),(452,1)}
       335:{2,3,5,7}:{(286,1),(287,1),(298,1),(371,1),(377,1),(380,1),(381,1)}
       336:{2,4,5,7}:{(287,1),(288,1),(290,1),(378,1),(380,1),(381,1)}
       337:{1,3,4,5,7}:{(288,1),(289,1),(291,1),(300,1),(373,1),(379,1),(381,1),(382,1),(389,1),(447,1),(456,1)}
       338:{3,6,7}:{(290,1),(381,1)}
       339:{2,4,6,7}:{(291,1),(292,1),(382,1),(383,1),(384,1),(457,1)}
       340:{1,5,6,7}:{(292,1),(384,1),(391,1),(449,1)}
       341:{1,3,4,6}:{(293,1),(294,1),(303,1),(376,1),(385,1),(386,1)}
       342:{1,3,5,6}:{(294,1),(295,1),(298,1),(377,1),(385,1),(386,1)}
       343:{1,2,4,5,6}:{(295,1),(296,1),(299,1),(305,1),(378,1),(386,1),(387,1),(388,1),(393,1),(454,1),(459,1),(506,1),(533,1)}
       344:{1,3,5,6}:{(296,1),(297,1),(300,1),(306,1),(388,1)}
       345:{1,4,7}:{(298,1),(380,1),(386,1)}
       346:{1,3,5,7}:{(299,1),(301,1),(381,1),(387,1),(389,1),(390,1),(534,1)}
       347:{2,5,7}:{(300,1),(302,1),(388,1),(391,1)}
       348:{2,3,6,7}:{(301,1),(302,1),(390,1),(392,1),(395,1),(457,1)}
       349:{1,4,6,7}:{(302,1),(391,1),(392,1),(396,1),(461,1)}
       350:{1,2,5}:{(303,1),(385,1)}
       351:{1,2,4,6}:{(304,1),(307,1),(386,1),(393,1),(394,1),(459,1),(552,1)}
       352:{1,3,6}:{(305,1),(308,1),(395,1)}
       353:{2,4,6}:{(306,1),(309,1),(388,1),(395,1),(396,1)}
       354:{1,3,4,7}:{(307,1),(308,1),(394,1),(397,1),(534,1)}
       355:{2,3,5,7}:{(308,1),(309,1),(395,1),(397,1),(398,1),(463,1)}
       356:{1,4,5,7}:{(309,1),(391,1),(396,1),(398,1),(461,1),(508,1)}
       357:{1,2,4}:{(310,1),(319,1)}
       358:{1,2,3,5,7}:{(310,1),(311,1),(315,1),(320,1),(399,1),(400,1),(435,1),(467,1),(492,1),(527,1)}
       359:{1,2,6}:{(311,1),(312,1)}
       360:{1,3,5,6}:{(312,1),(313,1),(317,1),(322,1),(401,1),(402,1),(469,1)}
       361:{2,4,6}:{(313,1),(314,1),(318,1),(402,1),(403,1)}
       362:{1,2,3,6,7}:{(315,1),(316,1),(324,1),(400,1),(404,1),(414,1),(430,1),(469,1)}
       363:{1,2,5,7}:{(316,1),(317,1),(401,1),(413,1),(467,1)}
       364:{1,4,5,7}:{(317,1),(318,1),(402,1),(411,1),(474,1)}
       365:{3,4,5,7}:{(318,1),(327,1),(403,1),(420,1),(481,1)}
       366:{1,3,4,7}:{(319,1),(320,1),(330,1),(399,1),(407,1),(411,1),(545,1)}
       367:{1,3,6}:{(320,1),(321,1),(331,1)}
       368:{1,2,5,6}:{(321,1),(322,1),(325,1),(332,1),(408,1),(427,1),(467,1)}
       369:{1,4,5,6}:{(322,1),(323,1),(326,1),(402,1),(410,1)}
       370:{3,5,6}:{(323,1),(327,1),(403,1)}
       371:{1,3,5,7}:{(324,1),(325,1),(335,1),(408,1),(411,1)}
       372:{1,2,4,5,7}:{(325,1),(326,1),(328,1),(336,1),(409,1),(411,1),(412,1),(413,1),(422,1),(478,1),(485,1),(489,1)}
       373:{1,3,5,7}:{(326,1),(327,1),(329,1),(410,1),(413,1)}
       374:{1,3,6,7}:{(328,1),(338,1),(412,1),(414,1),(469,1)}
       375:{2,4,6,7}:{(329,1),(413,1),(414,1),(415,1),(470,1),(478,1)}
       376:{2,3,4,6}:{(330,1),(331,1),(341,1),(407,1),(416,1),(417,1)}
       377:{2,3,5,6}:{(331,1),(332,1),(335,1),(342,1),(408,1),(416,1),(417,1),(418,1)}
       378:{2,4,5,6}:{(332,1),(333,1),(336,1),(417,1),(418,1)}
       379:{1,3,4,5,6}:{(333,1),(334,1),(337,1),(344,1),(410,1),(418,1),(419,1),(425,1),(475,1),(483,1)}
       380:{2,4,7}:{(335,1),(345,1),(411,1),(417,1),(420,1)}
       381:{3,5,7}:{(336,1),(338,1),(418,1),(420,1)}
       382:{2,4,5,7}:{(337,1),(339,1),(347,1),(413,1),(419,1),(421,1),(422,1),(428,1),(478,1),(485,1)}
       383:{2,3,6,7}:{(338,1),(339,1),(421,1),(423,1)}
       384:{1,4,6,7}:{(339,1),(340,1),(422,1),(423,1)}
       385:{1,3,5}:{(341,1),(350,1),(416,1),(424,1)}
       386:{1,4,6}:{(342,1),(345,1),(417,1),(424,1)}
       387:{1,3,5,6}:{(343,1),(346,1),(352,1),(418,1),(425,1),(426,1),(431,1),(543,1)}
       388:{2,5,6}:{(344,1),(347,1),(353,1),(427,1)}
       389:{1,3,4,7}:{(345,1),(346,1),(420,1),(425,1),(428,1)}
       390:{2,3,5,7}:{(346,1),(347,1),(348,1),(426,1),(428,1),(429,1),(485,1),(524,1)}
       391:{1,5,7}:{(347,1),(349,1),(427,1)}
       392:{1,3,6,7}:{(348,1),(349,1),(429,1),(430,1),(433,1)}
       393:{1,2,4,5}:{(350,1),(351,1),(424,1),(431,1),(486,1)}
       394:{1,3,4,6}:{(351,1),(352,1),(354,1),(431,1),(432,1),(543,1),(551,1)}
       395:{2,3,6}:{(352,1),(353,1),(355,1),(433,1)}
       396:{1,4,6}:{(353,1),(356,1),(427,1),(433,1)}
       397:{2,3,4,7}:{(354,1),(355,1),(428,1),(432,1),(434,1),(524,1)}
       398:{1,3,5,7}:{(355,1),(356,1),(433,1),(434,1),(435,1),(490,1)}
       399:{1,2,4,7}:{(357,1),(358,1),(366,1),(436,1),(538,1)}
       400:{1,2,3,6}:{(358,1),(359,1),(367,1),(436,1),(465,1)}
       401:{1,2,5,6}:{(359,1),(360,1),(363,1),(438,1),(446,1)}
       402:{1,4,6}:{(360,1),(361,1),(364,1)}
       403:{3,4,6}:{(361,1),(365,1),(370,1)}
       404:{1,2,3,5,7}:{(362,1),(363,1),(371,1),(437,1),(440,1),(441,1),(448,1),(462,1),(510,1)}
       405:{1,2,4,5,7}:{(363,1),(364,1),(438,1),(440,1),(441,1),(442,1),(493,1)}
       406:{1,3,4,5,7}:{(364,1),(365,1),(373,1),(439,1),(441,1),(442,1),(447,1),(499,1)}
       407:{1,3,4,6}:{(366,1),(367,1),(376,1),(436,1),(443,1),(444,1)}
       408:{1,3,5,6}:{(367,1),(368,1),(371,1),(377,1),(443,1),(444,1)}
       409:{1,2,4,5,6}:{(368,1),(369,1),(372,1),(378,1),(438,1),(444,1),(445,1),(446,1),(454,1),(493,1),(500,1),(506,1),(509,1)}
       410:{1,3,5,6}:{(369,1),(370,1),(373,1),(439,1),(446,1)}
       411:{1,4,7}:{(371,1),(380,1),(444,1)}
       412:{1,3,5,7}:{(372,1),(374,1),(381,1),(445,1),(447,1),(448,1),(510,1)}
       413:{2,5,7}:{(373,1),(375,1),(446,1),(449,1)}
       414:{2,3,6,7}:{(374,1),(375,1),(448,1),(450,1),(457,1),(495,1)}
       415:{1,4,6,7}:{(375,1),(449,1),(450,1),(496,1),(502,1)}
       416:{2,3,5}:{(376,1),(385,1),(443,1),(451,1)}
       417:{2,4,6}:{(377,1),(380,1),(386,1),(444,1),(451,1),(452,1)}
       418:{3,5,6}:{(378,1),(381,1),(452,1)}
       419:{2,4,5,6}:{(379,1),(382,1),(388,1),(446,1),(453,1),(454,1),(459,1),(500,1),(506,1)}
       420:{3,4,7}:{(380,1),(381,1),(452,1)}
       421:{2,3,5,7}:{(381,1),(382,1),(383,1),(453,1),(455,1),(456,1)}
       422:{1,4,5,7}:{(382,1),(384,1),(391,1),(449,1),(454,1),(456,1),(461,1),(502,1)}
       423:{1,3,6,7}:{(383,1),(384,1),(456,1),(457,1)}
       424:{1,4,5}:{(385,1),(386,1),(451,1)}
       425:{1,3,4,6}:{(386,1),(387,1),(389,1),(452,1),(458,1),(459,1)}
       426:{2,3,5,6}:{(387,1),(388,1),(390,1),(395,1),(459,1),(460,1),(463,1),(506,1),(536,1)}
       427:{1,5,6}:{(388,1),(391,1),(396,1)}
       428:{2,4,7}:{(389,1),(390,1),(459,1),(461,1)}
       429:{1,3,5,7}:{(390,1),(391,1),(392,1),(460,1),(461,1),(462,1),(510,1)}
       430:{1,2,6,7}:{(392,1),(457,1),(462,1),(465,1)}
       431:{1,3,5}:{(393,1),(394,1),(463,1)}
       432:{2,3,4,6}:{(394,1),(395,1),(397,1),(459,1),(463,1),(464,1),(536,1),(549,1)}
       433:{1,3,6}:{(395,1),(396,1),(398,1),(465,1)}
       434:{1,3,4,7}:{(397,1),(398,1),(461,1),(464,1),(466,1),(510,1)}
       435:{1,2,5,7}:{(398,1),(465,1),(466,1),(511,1)}
       436:{1,2,4,6}:{(399,1),(400,1),(407,1),(467,1)}
       437:{1,2,3,5,6}:{(400,1),(401,1),(404,1),(408,1),(467,1),(468,1),(469,1),(476,1),(488,1),(513,1),(526,1),(527,1)}
       438:{1,2,4,6}:{(401,1),(402,1),(405,1),(469,1),(470,1)}
       439:{1,3,4,6}:{(402,1),(403,1),(406,1),(410,1),(469,1),(470,1)}
       440:{1,2,4,7}:{(404,1),(411,1),(468,1),(471,1),(478,1)}
       441:{1,3,5,7}:{(405,1),(469,1),(471,1),(472,1),(513,1)}
       442:{2,4,5,7}:{(406,1),(413,1),(470,1),(472,1),(473,1),(478,1),(518,1)}
       443:{1,3,5}:{(407,1),(416,1),(467,1),(474,1)}
       444:{1,4,6}:{(408,1),(411,1),(417,1),(474,1)}
       445:{1,3,5,6}:{(409,1),(412,1),(418,1),(469,1),(475,1),(476,1),(513,1),(526,1)}
       446:{2,5,6}:{(410,1),(413,1),(470,1),(477,1)}
       447:{1,3,4,7}:{(411,1),(412,1),(420,1),(475,1),(478,1)}
       448:{2,3,5,7}:{(412,1),(413,1),(414,1),(476,1),(478,1),(479,1),(485,1),(524,1)}
       449:{1,5,7}:{(413,1),(415,1),(477,1)}
       450:{1,3,6,7}:{(414,1),(415,1),(479,1),(480,1),(515,1)}
       451:{2,4,5}:{(416,1),(417,1),(424,1),(474,1),(481,1)}
       452:{3,4,6}:{(417,1),(418,1),(420,1),(481,1)}
       453:{2,3,5,6}:{(418,1),(419,1),(421,1),(482,1),(483,1)}
       454:{1,4,5,6}:{(419,1),(422,1),(427,1),(477,1),(483,1),(487,1),(519,1)}
       455:{2,3,4,7}:{(420,1),(421,1),(428,1),(478,1),(482,1),(484,1),(524,1)}
       456:{1,3,5,7}:{(421,1),(422,1),(423,1),(483,1),(484,1),(485,1)}
       457:{2,6,7}:{(423,1),(485,1)}
       458:{1,3,4,5}:{(424,1),(425,1),(431,1),(481,1),(486,1)}
       459:{2,4,6}:{(425,1),(426,1),(428,1),(486,1),(487,1)}
       460:{1,3,5,6}:{(426,1),(427,1),(429,1),(433,1),(487,1),(488,1),(490,1),(526,1)}
       461:{1,4,7}:{(428,1),(429,1),(487,1)}
       462:{1,2,5,7}:{(429,1),(430,1),(485,1),(488,1),(489,1)}
       463:{2,3,5}:{(431,1),(432,1),(486,1),(490,1)}
       464:{1,3,4,6}:{(432,1),(433,1),(434,1),(487,1),(490,1),(491,1),(526,1),(545,1)}
       465:{1,2,6}:{(433,1),(435,1)}
       466:{1,2,4,7}:{(434,1),(435,1),(491,1),(492,1)}
       467:{1,2,5}:{(436,1),(443,1)}
       468:{1,2,4,6}:{(437,1),(440,1),(444,1),(493,1),(494,1),(500,1),(538,1)}
       469:{1,3,6}:{(438,1),(441,1),(495,1)}
       470:{2,4,6}:{(439,1),(442,1),(446,1),(495,1),(496,1)}
       471:{1,3,4,7}:{(440,1),(441,1),(494,1),(497,1),(510,1)}
       472:{2,3,5,7}:{(441,1),(442,1),(495,1),(497,1),(498,1),(528,1)}
       473:{1,4,5,7}:{(442,1),(449,1),(496,1),(498,1),(502,1),(532,1)}
       474:{1,4,5}:{(443,1),(444,1),(451,1)}
       475:{1,3,4,6}:{(444,1),(445,1),(447,1),(452,1),(499,1),(500,1)}
       476:{2,3,5,6}:{(445,1),(446,1),(448,1),(495,1),(500,1),(501,1),(506,1),(528,1),(536,1)}
       477:{1,5,6}:{(446,1),(449,1),(496,1)}
       478:{2,4,7}:{(447,1),(448,1),(500,1),(502,1)}
       479:{1,3,5,7}:{(448,1),(449,1),(450,1),(501,1),(502,1),(503,1),(534,1)}
       480:{1,2,6,7}:{(450,1),(457,1),(503,1),(530,1)}
       481:{3,4,5}:{(451,1),(452,1)}
       482:{2,3,4,6}:{(452,1),(453,1),(455,1),(459,1),(500,1),(504,1),(505,1),(536,1)}
       483:{1,3,5,6}:{(453,1),(454,1),(456,1),(505,1),(506,1)}
       484:{1,3,4,7}:{(455,1),(456,1),(461,1),(502,1),(505,1),(507,1),(510,1),(534,1)}
       485:{2,5,7}:{(456,1),(457,1),(506,1),(507,1)}
       486:{2,4,5}:{(458,1),(459,1),(463,1),(508,1)}
       487:{1,4,6}:{(459,1),(460,1),(461,1),(508,1)}
       488:{1,2,5,6}:{(460,1),(462,1),(465,1),(506,1),(509,1),(511,1)}
       489:{1,2,4,7}:{(461,1),(462,1),(507,1),(509,1),(510,1)}
       490:{1,3,5}:{(463,1),(464,1),(508,1),(511,1)}
       491:{1,2,4,6}:{(464,1),(465,1),(466,1),(511,1),(512,1),(538,1)}
       492:{1,2,3,7}:{(466,1),(510,1),(512,1)}
       493:{1,2,4,5}:{(467,1),(468,1),(474,1),(513,1),(518,1)}
       494:{1,3,4,6}:{(468,1),(469,1),(471,1),(513,1),(514,1),(526,1),(545,1)}
       495:{2,3,6}:{(469,1),(470,1),(472,1),(515,1)}
       496:{1,4,6}:{(470,1),(473,1),(477,1),(515,1)}
       497:{2,3,4,7}:{(471,1),(472,1),(478,1),(514,1),(516,1),(524,1)}
       498:{1,3,5,7}:{(472,1),(473,1),(515,1),(516,1),(517,1),(539,1)}
       499:{1,3,4,5}:{(474,1),(475,1),(481,1),(513,1),(518,1)}
       500:{2,4,6}:{(475,1),(476,1),(478,1),(518,1),(519,1)}
       501:{1,3,5,6}:{(476,1),(477,1),(479,1),(515,1),(519,1),(520,1),(539,1),(543,1)}
       502:{1,4,7}:{(478,1),(479,1),(519,1)}
       503:{1,2,5,7}:{(479,1),(480,1),(485,1),(520,1),(521,1)}
       504:{2,3,4,5}:{(481,1),(482,1),(486,1),(518,1),(522,1),(544,1)}
       505:{1,3,4,6}:{(482,1),(483,1),(484,1),(487,1),(519,1),(522,1),(523,1),(526,1),(543,1)}
       506:{2,5,6}:{(483,1),(485,1),(523,1)}
       507:{2,4,7}:{(484,1),(485,1),(523,1),(524,1)}
       508:{1,4,5}:{(486,1),(487,1),(490,1)}
       509:{1,2,4,6}:{(487,1),(488,1),(489,1),(523,1),(525,1),(526,1)}
       510:{1,3,7}:{(489,1),(524,1),(526,1)}
       511:{1,2,5}:{(490,1),(491,1)}
       512:{1,2,3,6}:{(491,1),(492,1),(526,1),(527,1)}
       513:{1,3,5}:{(493,1),(494,1),(528,1)}
       514:{2,3,4,6}:{(494,1),(495,1),(497,1),(500,1),(528,1),(529,1),(536,1),(549,1)}
       515:{1,3,6}:{(495,1),(496,1),(498,1),(530,1)}
       516:{1,3,4,7}:{(497,1),(498,1),(502,1),(529,1),(531,1),(534,1)}
       517:{1,2,5,7}:{(498,1),(530,1),(531,1),(546,1)}
       518:{2,4,5}:{(499,1),(500,1),(528,1),(532,1)}
       519:{1,4,6}:{(500,1),(501,1),(502,1),(532,1)}
       520:{1,2,5,6}:{(501,1),(503,1),(506,1),(530,1),(533,1),(546,1)}
       521:{1,2,4,7}:{(502,1),(503,1),(507,1),(533,1),(534,1)}
       522:{1,3,4,5}:{(504,1),(505,1),(508,1),(532,1),(535,1),(537,1),(548,1)}
       523:{2,4,6}:{(505,1),(506,1),(507,1),(535,1),(536,1)}
       524:{2,3,7}:{(507,1),(510,1),(534,1),(536,1)}
       525:{1,2,4,5}:{(508,1),(509,1),(511,1),(535,1),(537,1),(538,1)}
       526:{1,3,6}:{(509,1),(510,1),(536,1),(537,1)}
       527:{1,2,3,5}:{(511,1),(512,1),(537,1),(538,1)}
       528:{2,3,5}:{(513,1),(514,1),(518,1),(539,1)}
       529:{1,3,4,6}:{(514,1),(515,1),(516,1),(519,1),(539,1),(540,1),(543,1),(551,1)}
       530:{1,2,6}:{(515,1),(517,1)}
       531:{1,2,4,7}:{(516,1),(517,1),(540,1),(541,1)}
       532:{1,4,5}:{(518,1),(519,1),(539,1)}
       533:{1,2,4,6}:{(519,1),(520,1),(521,1),(523,1),(542,1),(543,1)}
       534:{1,3,7}:{(521,1),(524,1),(543,1)}
       535:{2,4,5}:{(522,1),(523,1),(544,1)}
       536:{2,3,6}:{(523,1),(524,1),(526,1),(543,1),(544,1)}
       537:{1,3,5}:{(525,1),(526,1),(544,1),(545,1)}
       538:{1,2,4}:{(527,1),(545,1)}
       539:{1,3,5}:{(528,1),(529,1),(532,1),(546,1)}
       540:{1,2,4,6}:{(529,1),(530,1),(531,1),(546,1),(547,1),(552,1)}
       541:{1,2,3,7}:{(531,1),(534,1),(547,1)}
       542:{1,2,4,5}:{(532,1),(533,1),(535,1),(546,1),(548,1),(552,1)}
       543:{1,3,6}:{(533,1),(534,1),(536,1),(548,1)}
       544:{2,3,5}:{(535,1),(536,1),(537,1),(548,1),(549,1)}
       545:{1,3,4}:{(537,1),(538,1),(549,1)}
       546:{1,2,5}:{(539,1),(540,1)}
       547:{1,2,3,6}:{(540,1),(541,1),(543,1),(550,1)}
       548:{1,3,5}:{(542,1),(543,1),(544,1),(551,1)}
       549:{2,3,4}:{(544,1),(545,1),(551,1)}
       550:{1,2,3,5}:{(546,1),(547,1),(548,1),(552,1)}
       551:{1,3,4}:{(548,1),(549,1),(552,1)}
       552:{1,2,4}:{(550,1),(551,1)}

1966 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(25,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(20,1),(25,1),(51,1),(57,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(22,1),(51,1),(57,1),(82,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(44,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(36,1),(67,1),(73,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(44,1),(76,1)}
         9:{1,2,4,6,7}:{(6,1),(19,1),(20,1),(21,1),(51,1)}
        10:{1,3,4,6,7}:{(8,1),(19,1),(21,1),(22,1),(48,1),(51,1),(79,1),(82,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(23,1),(24,1),(51,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(25,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(23,1),(26,1),(27,1),(56,1)}
        14:{1,3,6}:{(5,1),(6,1),(27,1)}
        15:{1,2,5,6}:{(6,1),(20,1),(25,1),(28,1),(30,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(26,1),(29,1),(52,1),(81,1),(86,1)}
        17:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(22,1),(30,1),(31,1),(62,1)}
        19:{1,3,6,7}:{(9,1),(14,1),(33,1),(34,1),(110,1)}
        20:{1,2,5,7}:{(9,1),(15,1),(34,1),(36,1),(121,1)}
        21:{2,4,6,7}:{(10,1),(17,1),(33,1),(35,1),(36,1),(67,1)}
        22:{1,3,5,7}:{(10,1),(18,1),(36,1),(37,1),(69,1)}
        23:{2,3,4,7}:{(11,1),(13,1),(38,1),(39,1),(67,1),(111,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(44,1),(116,1),(122,1)}
        25:{1,2,5}:{(12,1),(40,1)}
        26:{1,3,5,7}:{(13,1),(16,1),(38,1),(41,1),(42,1),(72,1)}
        27:{2,3,6}:{(13,1),(14,1),(17,1),(42,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(34,1),(40,1),(43,1),(44,1),(100,1),(116,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(36,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(37,1),(44,1),(46,1),(100,1)}
        32:{1,3,5,6,7}:{(22,1),(47,1),(48,1),(79,1)}
        33:{2,3,6,7}:{(19,1),(21,1),(27,1),(49,1),(50,1),(79,1),(101,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(28,1),(50,1),(51,1),(104,1),(117,1)}
        35:{1,4,6,7}:{(21,1),(29,1),(49,1),(52,1),(81,1)}
        36:{2,5,7}:{(21,1),(22,1),(30,1),(52,1)}
        37:{1,4,5,7}:{(22,1),(31,1),(48,1),(51,1),(53,1),(104,1)}
        38:{1,3,4,7}:{(23,1),(26,1),(54,1),(55,1),(81,1),(102,1)}
        39:{2,3,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(60,1),(108,1),(118,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(57,1)}
        41:{1,2,5,7}:{(26,1),(54,1),(58,1),(85,1)}
        42:{1,3,6}:{(26,1),(27,1),(29,1),(58,1)}
        43:{2,3,5,6}:{(27,1),(28,1),(30,1),(50,1),(56,1),(59,1),(60,1),(62,1),(90,1),(108,1)}
        44:{1,4,6}:{(28,1),(51,1),(57,1),(60,1)}
        45:{1,5,6}:{(29,1),(30,1),(52,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(53,1),(60,1),(61,1),(62,1),(90,1)}
        47:{2,5,6,7}:{(32,1),(36,1),(63,1),(64,1)}
        48:{1,4,6,7}:{(32,1),(37,1),(64,1),(110,1)}
        49:{1,3,6,7}:{(33,1),(35,1),(42,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(33,1),(34,1),(36,1),(43,1),(66,1),(67,1),(69,1),(94,1),(111,1)}
        51:{1,4,7}:{(34,1),(44,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(45,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(46,1),(64,1),(67,1),(68,1),(69,1),(94,1)}
        54:{1,2,4,7}:{(38,1),(41,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(38,1),(39,1),(42,1),(71,1),(72,1),(75,1),(98,1),(113,1)}
        56:{2,3,5}:{(39,1),(40,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(45,1),(66,1),(72,1),(74,1),(75,1),(98,1)}
        60:{2,4,6}:{(43,1),(44,1),(67,1),(73,1),(75,1),(76,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(68,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(69,1),(76,1)}
        63:{1,5,6,7}:{(47,1),(52,1),(78,1)}
        64:{2,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(101,1)}
        65:{1,2,6,7}:{(49,1),(58,1),(80,1),(101,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(52,1),(59,1),(80,1),(81,1),(102,1)}
        67:{2,4,7}:{(50,1),(51,1),(60,1),(81,1),(82,1)}
        68:{1,4,5,7}:{(52,1),(53,1),(61,1),(78,1),(81,1),(83,1)}
        69:{3,5,7}:{(53,1),(62,1),(79,1),(82,1)}
        70:{1,2,3,7}:{(54,1),(84,1),(102,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(58,1),(84,1),(85,1),(105,1)}
        72:{1,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,4,5}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(80,1),(85,1),(88,1),(90,1)}
        75:{1,4,6}:{(59,1),(60,1),(81,1),(86,1)}
        76:{3,4,6}:{(60,1),(62,1),(82,1),(87,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(83,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(63,1),(64,1),(68,1),(91,1)}
        79:{3,6,7}:{(64,1),(69,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(74,1),(92,1),(94,1)}
        81:{1,4,7}:{(66,1),(67,1),(75,1)}
        82:{3,4,7}:{(67,1),(69,1),(76,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,2,3,6}:{(70,1),(71,1),(95,1),(98,1)}
        85:{1,2,5}:{(71,1),(72,1)}
        86:{1,4,5}:{(72,1),(73,1),(75,1)}
        87:{3,4,5}:{(73,1),(76,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(92,1),(96,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(77,1),(93,1),(97,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(94,1),(99,1),(100,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(83,1),(101,1)}
        92:{1,2,4,7}:{(80,1),(81,1),(88,1),(102,1),(103,1)}
        93:{1,3,4,7}:{(81,1),(82,1),(83,1),(89,1),(102,1),(103,1)}
        94:{2,5,7}:{(83,1),(90,1),(101,1),(103,1),(104,1)}
        95:{1,2,3,5}:{(84,1),(85,1),(105,1),(106,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(88,1),(105,1),(106,1),(107,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1)}
        98:{1,3,6}:{(88,1),(102,1),(106,1),(108,1)}
        99:{2,4,6}:{(89,1),(90,1),(103,1),(107,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(104,1),(109,1)}
       101:{2,6,7}:{(91,1),(94,1),(110,1)}
       102:{1,3,7}:{(92,1),(98,1),(111,1)}
       103:{2,4,7}:{(93,1),(94,1),(99,1),(111,1),(112,1)}
       104:{1,5,7}:{(94,1),(100,1),(110,1),(112,1)}
       105:{1,2,4}:{(95,1),(113,1)}
       106:{1,3,5}:{(96,1),(98,1),(113,1),(114,1)}
       107:{2,4,5}:{(97,1),(99,1),(114,1),(115,1)}
       108:{2,3,6}:{(98,1),(99,1),(111,1),(114,1),(116,1)}
       109:{1,4,6}:{(99,1),(100,1),(112,1),(115,1),(116,1)}
       110:{1,6,7}:{(101,1),(104,1)}
       111:{2,3,7}:{(102,1),(103,1),(108,1),(117,1)}
       112:{1,4,7}:{(103,1),(104,1),(109,1),(117,1)}
       113:{1,3,4}:{(105,1),(106,1),(118,1)}
       114:{2,3,5}:{(106,1),(107,1),(108,1),(118,1),(119,1)}
       115:{1,4,5}:{(107,1),(109,1),(119,1)}
       116:{1,3,6}:{(108,1),(109,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

1967 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(18,1),(26,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(39,1),(140,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(29,1),(39,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(26,1),(40,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(21,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1),(23,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(54,1),(131,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(23,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(24,1),(26,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(25,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(15,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(33,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(28,1),(33,1),(35,1)}
        22:{2,3,4,5,7}:{(12,1),(14,1),(34,1),(35,1),(36,1),(70,1),(121,1),(138,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(29,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(16,1),(36,1),(38,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(37,1),(39,1),(149,1),(150,1)}
        26:{1,2,5,6}:{(16,1),(38,1),(39,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(55,1),(88,1)}
        28:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(23,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(46,1)}
        32:{1,2,4,5}:{(20,1),(46,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(42,1),(48,1),(50,1)}
        34:{1,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(51,1),(85,1),(110,1),(129,1)}
        35:{2,3,4,7}:{(21,1),(23,1),(43,1),(50,1)}
        36:{2,3,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(25,1),(44,1),(52,1),(54,1),(79,1),(144,1),(145,1)}
        38:{1,3,5,6}:{(24,1),(26,1),(53,1),(54,1),(55,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(54,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(33,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(35,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(149,1)}
        46:{1,2,3,5}:{(31,1),(32,1),(63,1)}
        47:{1,2,3,4,7}:{(31,1),(64,1),(65,1),(119,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(59,1),(63,1),(66,1)}
        49:{1,2,4,5,7}:{(32,1),(34,1),(64,1),(66,1),(67,1),(97,1),(98,1),(119,1)}
        50:{1,3,4,7}:{(33,1),(35,1),(60,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(36,1),(67,1),(69,1)}
        52:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(61,1),(68,1),(70,1),(94,1),(136,1),(138,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(70,1),(72,1)}
        55:{1,4,5,6}:{(38,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(48,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(50,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(54,1),(78,1),(79,1),(143,1),(144,1)}
        63:{1,2,3,6}:{(46,1),(48,1),(80,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,4,6}:{(47,1),(81,1),(82,1),(109,1)}
        66:{1,2,4,7}:{(48,1),(50,1),(76,1),(80,1)}
        67:{1,2,4,6}:{(49,1),(51,1),(81,1),(84,1)}
        68:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(85,1),(106,1),(127,1),(129,1)}
        69:{1,3,5,6}:{(51,1),(53,1),(84,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(52,1),(53,1),(54,1),(85,1),(87,1)}
        71:{2,4,5,6}:{(53,1),(55,1),(86,1),(87,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(87,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(66,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(70,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,7}:{(63,1),(66,1)}
        81:{1,2,3,6}:{(64,1),(67,1)}
        82:{1,2,3,5}:{(65,1),(97,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(92,1),(95,1),(98,1),(119,1)}
        84:{1,2,5,6}:{(67,1),(69,1),(98,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1)}
        86:{1,4,5,6}:{(69,1),(71,1),(100,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(100,1),(102,1)}
        88:{3,4,5,6}:{(71,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(143,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(85,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(87,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(80,1),(81,1),(83,1),(108,1),(127,1)}
        96:{1,2,3,5,6}:{(81,1),(82,1),(84,1),(108,1),(109,1),(112,1)}
        97:{1,2,4,5}:{(82,1),(109,1),(110,1)}
        98:{1,2,5,7}:{(83,1),(84,1),(85,1)}
        99:{1,2,4,5,6}:{(84,1),(86,1),(109,1),(111,1),(112,1),(114,1)}
       100:{1,4,5,7}:{(85,1),(86,1),(87,1),(106,1)}
       101:{1,3,4,5,6}:{(86,1),(88,1),(112,1),(113,1),(114,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(98,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(100,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(119,1),(122,1)}
       109:{1,2,4,6}:{(96,1),(97,1),(119,1),(120,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(117,1),(119,1),(122,1),(124,1)}
       112:{1,3,5,6}:{(99,1),(120,1),(122,1),(123,1)}
       113:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(122,1),(124,1)}
       114:{2,4,5,6}:{(101,1),(123,1),(124,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(111,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(113,1),(126,1),(127,1),(128,1)}
       119:{1,2,4,7}:{(108,1),(109,1),(129,1)}
       120:{1,3,4,6}:{(109,1),(110,1),(112,1),(129,1),(130,1)}
       121:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       122:{1,3,5,7}:{(111,1),(112,1),(127,1),(129,1),(132,1)}
       123:{2,3,5,6}:{(112,1),(114,1),(130,1),(132,1),(133,1)}
       124:{2,4,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(114,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(122,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(124,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,7}:{(119,1),(120,1),(122,1),(138,1)}
       130:{2,3,4,6}:{(120,1),(121,1),(123,1),(138,1),(139,1)}
       131:{1,3,4,5}:{(121,1),(139,1),(140,1)}
       132:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(138,1),(141,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(139,1),(141,1),(142,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(141,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(143,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,4,6}:{(130,1),(131,1),(133,1),(145,1),(146,1)}
       140:{1,2,4,5}:{(131,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(134,1),(144,1),(145,1),(148,1)}
       142:{1,2,5,6}:{(133,1),(146,1),(148,1)}
       143:{1,5,6,7}:{(135,1),(137,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1),(149,1)}
       145:{1,3,4,7}:{(138,1),(139,1),(141,1),(150,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(141,1),(142,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

1968 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(151,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(145,1),(153,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(16,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(22,1),(24,1),(137,1),(149,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(17,1),(32,1),(37,1),(127,1),(143,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(12,1),(14,1)}
         8:{1,2,3,6,7}:{(4,1),(13,1),(15,1),(68,1),(153,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(16,1),(36,1)}
        10:{1,2,4,5}:{(5,1),(16,1),(17,1)}
        11:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(26,1),(45,1),(53,1),(113,1),(135,1)}
        12:{1,3,4,6}:{(6,1),(7,1),(19,1),(21,1)}
        13:{1,2,4,6,7}:{(7,1),(8,1),(20,1),(22,1),(24,1),(149,1),(152,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(22,1)}
        15:{1,2,3,5,7}:{(8,1),(9,1),(22,1),(24,1),(51,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(24,1),(25,1)}
        17:{1,3,4,5}:{(10,1),(25,1),(26,1)}
        18:{1,3,4,5,7}:{(11,1),(28,1),(29,1),(39,1),(60,1),(71,1),(96,1),(125,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(29,1),(31,1)}
        20:{1,3,4,6,7}:{(12,1),(13,1),(30,1),(32,1),(37,1),(65,1),(68,1),(143,1),(146,1)}
        21:{1,3,5,6}:{(12,1),(14,1),(31,1),(32,1),(33,1)}
        22:{1,2,5,7}:{(13,1),(14,1),(32,1)}
        23:{1,2,4,5,6}:{(14,1),(16,1),(33,1),(35,1),(36,1),(67,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(37,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        26:{2,3,4,5}:{(17,1),(38,1),(39,1)}
        27:{1,2,3,4,7}:{(40,1),(41,1),(93,1),(111,1)}
        28:{1,2,4,5,7}:{(18,1),(40,1),(42,1),(55,1),(76,1),(77,1),(91,1),(111,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(42,1),(44,1)}
        30:{2,3,4,6,7}:{(19,1),(20,1),(43,1),(45,1),(53,1),(82,1),(88,1),(135,1),(138,1)}
        31:{2,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(22,1),(45,1),(48,1)}
        33:{1,4,5,6}:{(21,1),(46,1),(48,1)}
        34:{1,2,5,6,7}:{(22,1),(47,1),(50,1),(122,1),(152,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(48,1),(50,1),(51,1),(86,1)}
        36:{1,3,5,6}:{(23,1),(25,1),(51,1),(52,1)}
        37:{1,3,4,7}:{(24,1),(25,1),(51,1),(53,1)}
        38:{2,3,4,6}:{(25,1),(26,1),(52,1),(53,1),(54,1)}
        39:{1,3,4,5}:{(26,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(27,1),(28,1),(56,1),(57,1),(73,1),(110,1)}
        41:{1,2,3,4,6}:{(27,1),(56,1),(57,1),(95,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(56,1),(59,1)}
        43:{1,3,4,6,7}:{(29,1),(30,1),(58,1),(60,1),(71,1),(100,1),(108,1),(125,1),(128,1)}
        44:{1,3,5,6}:{(29,1),(31,1),(59,1),(60,1),(61,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{2,4,5,6}:{(31,1),(33,1),(61,1),(63,1),(64,1)}
        47:{1,3,5,6,7}:{(32,1),(34,1),(62,1),(65,1),(68,1),(146,1),(148,1)}
        48:{1,4,5,7}:{(32,1),(33,1),(63,1),(65,1)}
        49:{1,3,4,5,6}:{(33,1),(36,1),(64,1),(66,1),(67,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(65,1),(68,1),(106,1)}
        51:{1,3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(38,1),(67,1),(69,1),(70,1)}
        53:{2,3,4,7}:{(37,1),(38,1),(69,1),(71,1)}
        54:{1,3,4,6}:{(38,1),(39,1),(70,1),(71,1),(72,1)}
        55:{1,2,4,5}:{(39,1),(72,1),(73,1)}
        56:{1,2,3,6}:{(40,1),(42,1)}
        57:{1,2,3,5}:{(41,1),(76,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(74,1),(77,1),(91,1),(111,1),(124,1)}
        59:{1,2,5,6}:{(42,1),(44,1),(77,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(45,1),(77,1),(80,1)}
        61:{1,4,5,6}:{(44,1),(46,1),(80,1)}
        62:{2,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(88,1),(121,1),(122,1),(138,1),(141,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(48,1),(80,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(82,1)}
        66:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(83,1),(85,1),(86,1)}
        67:{2,4,5,6}:{(49,1),(52,1),(86,1),(87,1)}
        68:{1,3,6,7}:{(50,1),(51,1),(88,1)}
        69:{2,3,5,7}:{(51,1),(52,1),(53,1),(86,1),(88,1),(89,1)}
        70:{1,3,5,6}:{(52,1),(54,1),(87,1),(89,1),(90,1)}
        71:{1,3,4,7}:{(53,1),(54,1),(89,1),(91,1)}
        72:{1,2,4,6}:{(54,1),(55,1),(90,1),(91,1),(92,1)}
        73:{1,2,3,5}:{(55,1),(92,1),(93,1)}
        74:{1,2,3,6,7}:{(56,1),(58,1),(94,1),(110,1),(128,1)}
        75:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(94,1),(95,1),(99,1)}
        76:{1,2,4,5}:{(57,1),(95,1),(96,1)}
        77:{1,2,5,7}:{(58,1),(59,1),(60,1)}
        78:{1,2,4,5,6}:{(59,1),(61,1),(95,1),(98,1),(99,1),(102,1)}
        79:{1,3,5,6,7}:{(60,1),(62,1),(97,1),(100,1),(108,1),(128,1),(134,1)}
        80:{1,4,5,7}:{(60,1),(61,1),(63,1),(100,1)}
        81:{1,3,4,5,6}:{(61,1),(64,1),(99,1),(101,1),(102,1)}
        82:{2,4,6,7}:{(62,1),(63,1),(65,1),(100,1),(104,1)}
        83:{3,4,5,7}:{(63,1),(64,1),(104,1)}
        84:{1,4,5,6,7}:{(65,1),(103,1),(105,1),(148,1)}
        85:{1,3,4,6,7}:{(65,1),(66,1),(68,1),(104,1),(105,1),(106,1)}
        86:{2,4,5,7}:{(66,1),(67,1),(69,1),(106,1),(107,1)}
        87:{1,4,5,6}:{(67,1),(70,1),(107,1)}
        88:{2,3,6,7}:{(68,1),(69,1),(106,1),(108,1)}
        89:{1,3,5,7}:{(69,1),(70,1),(71,1),(107,1),(108,1),(109,1)}
        90:{1,2,5,6}:{(70,1),(72,1),(109,1)}
        91:{1,2,4,7}:{(71,1),(72,1),(109,1),(110,1)}
        92:{1,2,3,6}:{(72,1),(73,1),(110,1)}
        93:{1,2,3,4}:{(73,1)}
        94:{1,2,3,5,7}:{(74,1),(75,1),(77,1),(111,1),(115,1)}
        95:{1,2,4,6}:{(75,1),(76,1),(111,1),(112,1)}
        96:{1,3,4,5}:{(76,1),(112,1),(113,1)}
        97:{1,2,5,6,7}:{(77,1),(79,1),(114,1),(124,1),(141,1)}
        98:{1,2,4,5,7}:{(77,1),(78,1),(80,1),(111,1),(114,1),(115,1),(119,1)}
        99:{1,3,5,6}:{(78,1),(112,1),(115,1),(116,1)}
       100:{1,4,6,7}:{(79,1),(80,1),(82,1)}
       101:{1,3,4,5,7}:{(80,1),(81,1),(83,1),(115,1),(118,1),(119,1)}
       102:{2,4,5,6}:{(81,1),(116,1),(119,1),(120,1)}
       103:{2,4,5,6,7}:{(82,1),(84,1),(117,1),(121,1),(122,1),(141,1)}
       104:{3,4,6,7}:{(82,1),(83,1),(121,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(121,1),(122,1)}
       106:{2,4,6,7}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,4,5,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{1,3,6,7}:{(88,1),(89,1),(123,1),(124,1)}
       109:{1,2,5,7}:{(89,1),(90,1),(91,1),(124,1)}
       110:{1,2,3,7}:{(91,1),(92,1)}
       111:{1,2,4,7}:{(94,1),(95,1),(125,1)}
       112:{1,3,4,6}:{(95,1),(96,1),(99,1),(125,1),(126,1)}
       113:{2,3,4,5}:{(96,1),(126,1),(127,1)}
       114:{1,2,4,6,7}:{(97,1),(98,1),(100,1),(128,1),(132,1)}
       115:{1,3,5,7}:{(98,1),(99,1),(125,1),(128,1),(129,1)}
       116:{2,3,5,6}:{(99,1),(102,1),(126,1),(129,1),(130,1)}
       117:{1,4,5,6,7}:{(100,1),(103,1),(131,1),(134,1)}
       118:{1,3,4,6,7}:{(100,1),(101,1),(104,1),(128,1),(131,1),(132,1)}
       119:{2,4,5,7}:{(101,1),(102,1),(129,1),(132,1),(133,1)}
       120:{1,4,5,6}:{(102,1),(130,1),(133,1)}
       121:{3,5,6,7}:{(103,1),(104,1)}
       122:{2,5,6,7}:{(105,1),(106,1),(134,1)}
       123:{1,4,6,7}:{(106,1),(107,1),(108,1),(134,1)}
       124:{1,2,6,7}:{(108,1),(109,1)}
       125:{1,3,4,7}:{(111,1),(112,1),(115,1),(135,1)}
       126:{2,3,4,6}:{(112,1),(113,1),(116,1),(135,1),(136,1)}
       127:{1,3,4,5}:{(113,1),(136,1),(137,1)}
       128:{1,3,6,7}:{(114,1),(115,1),(138,1)}
       129:{2,3,5,7}:{(115,1),(116,1),(119,1),(135,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(120,1),(136,1),(139,1),(140,1)}
       131:{1,3,5,6,7}:{(117,1),(118,1),(121,1),(141,1)}
       132:{2,4,6,7}:{(118,1),(119,1),(138,1),(141,1),(142,1)}
       133:{1,4,5,7}:{(119,1),(120,1),(139,1),(142,1)}
       134:{1,5,6,7}:{(122,1),(123,1)}
       135:{2,3,4,7}:{(125,1),(126,1),(129,1),(143,1)}
       136:{1,3,4,6}:{(126,1),(127,1),(130,1),(143,1),(144,1)}
       137:{1,2,4,5}:{(127,1),(144,1),(145,1)}
       138:{2,3,6,7}:{(128,1),(129,1),(132,1),(146,1)}
       139:{1,3,5,7}:{(129,1),(130,1),(133,1),(143,1),(146,1),(147,1)}
       140:{1,2,5,6}:{(130,1),(144,1),(147,1)}
       141:{2,5,6,7}:{(131,1),(132,1),(148,1)}
       142:{1,4,6,7}:{(132,1),(133,1),(146,1),(148,1)}
       143:{1,3,4,7}:{(135,1),(136,1),(139,1),(149,1)}
       144:{1,2,4,6}:{(136,1),(137,1),(140,1),(149,1),(150,1)}
       145:{1,2,3,5}:{(137,1),(150,1),(151,1)}
       146:{1,3,6,7}:{(138,1),(139,1),(142,1),(152,1)}
       147:{1,2,5,7}:{(139,1),(140,1),(149,1),(152,1)}
       148:{1,5,6,7}:{(141,1),(142,1)}
       149:{1,2,4,7}:{(143,1),(144,1),(147,1),(153,1)}
       150:{1,2,3,6}:{(144,1),(145,1),(153,1)}
       151:{1,2,3,4}:{(145,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,2,3,7}:{(149,1),(150,1)}

1969 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
        6:{1,2,3,7}:{(3,1),(10,1)}
        7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
        8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1),(14,1)}
        9:{1,2,5,6}:{(5,1),(13,1),(15,1)}
       10:{1,2,4,7}:{(5,1),(6,1),(14,1),(15,1)}
       11:{1,3,4,5}:{(7,1),(17,1),(18,1)}
       12:{2,3,4,6}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
       13:{1,3,5,6}:{(8,1),(9,1),(19,1),(21,1),(22,1)}
       14:{1,3,4,7}:{(8,1),(10,1),(20,1),(22,1)}
       15:{1,2,5,7}:{(9,1),(10,1),(22,1),(23,1)}
       16:{1,2,3,4}:{(24,1)}
       17:{1,2,4,5}:{(11,1),(24,1),(25,1)}
       18:{1,3,4,6}:{(11,1),(12,1),(25,1),(26,1),(27,1)}
       19:{2,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1)}
       20:{2,3,4,7}:{(12,1),(14,1),(27,1),(29,1)}
       21:{1,4,5,6}:{(13,1),(28,1),(30,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(15,1),(29,1),(30,1),(31,1)}
       23:{1,2,6,7}:{(15,1),(31,1)}
       24:{1,2,3,5}:{(16,1),(17,1),(32,1)}
       25:{1,2,4,6}:{(17,1),(18,1),(32,1),(33,1),(34,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(33,1),(35,1),(36,1)}
       27:{1,3,4,7}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,5,6}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
       29:{2,3,5,7}:{(19,1),(20,1),(22,1),(36,1),(38,1),(39,1)}
       30:{1,4,5,7}:{(21,1),(22,1),(38,1),(40,1)}
       31:{1,3,6,7}:{(22,1),(23,1),(39,1),(40,1)}
       32:{1,2,3,6}:{(24,1),(25,1),(41,1)}
       33:{1,2,5,6}:{(25,1),(26,1),(42,1)}
       34:{1,2,4,7}:{(25,1),(27,1),(41,1),(42,1)}
       35:{1,4,5,6}:{(26,1),(28,1),(43,1)}
       36:{1,3,5,7}:{(26,1),(27,1),(29,1),(42,1),(43,1),(44,1)}
       37:{3,4,5,6}:{(28,1),(45,1)}
       38:{2,4,5,7}:{(28,1),(29,1),(30,1),(43,1),(45,1),(46,1)}
       39:{2,3,6,7}:{(29,1),(31,1),(44,1),(46,1)}
       40:{1,4,6,7}:{(30,1),(31,1),(46,1),(47,1)}
       41:{1,2,3,7}:{(32,1),(34,1)}
       42:{1,2,5,7}:{(33,1),(34,1),(36,1),(48,1)}
       43:{1,4,5,7}:{(35,1),(36,1),(38,1),(49,1)}
       44:{1,3,6,7}:{(36,1),(39,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(37,1),(38,1),(50,1)}
       46:{2,4,6,7}:{(38,1),(39,1),(40,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(40,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1970 :   0:{1,2,4,5,7}:{(3,1),(4,1),(6,1),(28,1),(35,1),(37,1),(43,1),(82,1),(83,1),(90,1),(141,1),(165,1),(170,1),(211,1),(213,1),(263,1)}
         1:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(35,1),(45,1),(100,1),(170,1)}
         2:{1,3,4,6,7}:{(5,1),(8,1),(9,1),(29,1),(35,1),(41,1),(89,1),(98,1)}
         3:{1,3,5,7}:{(0,1),(12,1),(13,1),(14,1),(53,1),(70,1),(176,1),(205,1),(239,1),(242,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(52,1),(57,1),(64,1),(68,1),(122,1),(194,1),(199,1)}
         5:{1,3,6,7}:{(1,1),(14,1),(16,1),(17,1),(199,1),(205,1)}
         6:{1,2,5,7}:{(1,1),(15,1),(17,1),(22,1),(74,1),(134,1),(248,1)}
         7:{1,3,4,5,7}:{(12,1),(18,1),(19,1),(23,1),(25,1),(53,1),(61,1),(70,1),(125,1),(135,1),(136,1),(180,1),(181,1),(196,1),(205,1),(208,1),(242,1),(261,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(21,1),(22,1),(52,1),(60,1),(68,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(22,1),(23,1),(53,1),(70,1)}
        10:{1,3,4,6,7}:{(19,1),(24,1),(25,1),(27,1),(71,1),(77,1),(135,1),(136,1),(205,1)}
        11:{1,3,5,6,7}:{(20,1),(25,1),(26,1),(27,1),(77,1),(207,1)}
        12:{1,3,4,7}:{(3,1),(28,1),(29,1),(35,1),(89,1),(263,1),(265,1)}
        13:{2,3,5,7}:{(3,1),(28,1),(30,1),(31,1),(82,1),(90,1),(142,1),(212,1)}
        14:{1,3,6}:{(3,1),(4,1),(31,1),(98,1),(226,1)}
        15:{1,2,5,6}:{(4,1),(6,1),(32,1),(40,1),(82,1),(95,1),(158,1),(211,1),(270,1)}
        16:{2,3,6,7}:{(5,1),(8,1),(31,1),(33,1),(34,1),(98,1),(100,1),(164,1)}
        17:{1,3,5,7}:{(5,1),(6,1),(32,1),(34,1),(35,1),(165,1),(220,1)}
        18:{2,4,5,7}:{(7,1),(28,1),(36,1),(37,1),(38,1),(46,1),(82,1),(90,1),(102,1),(145,1),(156,1),(170,1),(213,1),(224,1)}
        19:{1,3,4,6}:{(7,1),(38,1),(39,1),(41,1),(91,1),(98,1),(159,1),(160,1),(226,1),(238,1),(280,1)}
        20:{1,3,5,6}:{(9,1),(40,1),(41,1),(98,1)}
        21:{1,4,6,7}:{(8,1),(33,1),(42,1),(81,1),(88,1),(97,1)}
        22:{2,5,7}:{(8,1),(9,1),(40,1),(42,1),(82,1)}
        23:{1,4,5,7}:{(9,1),(35,1),(41,1),(43,1),(83,1),(165,1)}
        24:{2,4,6,7}:{(10,1),(38,1),(44,1),(45,1),(46,1),(100,1),(102,1),(170,1)}
        25:{1,3,5,7}:{(10,1),(39,1),(46,1),(47,1),(106,1)}
        26:{2,5,6,7}:{(11,1),(40,1),(46,1),(48,1),(49,1),(233,1)}
        27:{1,4,6,7}:{(11,1),(41,1),(47,1),(49,1),(175,1),(238,1)}
        28:{2,4,7}:{(12,1),(13,1),(51,1),(52,1),(241,1)}
        29:{1,3,4,6}:{(12,1),(14,1),(52,1),(53,1),(57,1),(117,1)}
        30:{1,3,5,7}:{(13,1),(51,1),(54,1),(55,1),(111,1),(113,1),(182,1)}
        31:{2,3,6}:{(13,1),(14,1),(52,1),(55,1),(122,1)}
        32:{1,3,5,6}:{(14,1),(15,1),(17,1),(53,1),(56,1),(57,1),(199,1),(239,1),(246,1),(247,1)}
        33:{1,3,6,7}:{(16,1),(21,1),(55,1),(58,1),(59,1),(130,1)}
        34:{2,3,5,7}:{(16,1),(17,1),(22,1),(56,1),(59,1),(60,1),(70,1),(131,1),(134,1),(187,1),(205,1)}
        35:{1,4,7}:{(17,1),(57,1),(60,1)}
        36:{2,3,5,7}:{(18,1),(50,1),(61,1),(62,1),(70,1),(110,1),(131,1),(205,1),(242,1),(261,1),(293,1)}
        37:{1,4,5,7}:{(18,1),(51,1),(61,1),(64,1),(74,1),(113,1),(135,1),(180,1),(189,1),(249,1)}
        38:{2,4,6}:{(18,1),(19,1),(62,1),(64,1),(65,1),(122,1)}
        39:{1,3,5,6}:{(19,1),(25,1),(53,1),(65,1),(66,1),(129,1),(196,1)}
        40:{2,5,6}:{(20,1),(22,1),(67,1),(68,1)}
        41:{1,4,6}:{(20,1),(23,1),(68,1),(199,1)}
        42:{1,5,7}:{(21,1),(22,1),(67,1),(113,1)}
        43:{2,4,5,7}:{(22,1),(23,1),(60,1),(68,1),(69,1),(70,1),(114,1),(131,1)}
        44:{2,3,6,7}:{(24,1),(62,1),(71,1),(72,1),(77,1),(140,1),(205,1)}
        45:{1,4,6,7}:{(24,1),(64,1),(71,1),(74,1),(135,1)}
        46:{2,5,7}:{(24,1),(25,1),(65,1),(74,1)}
        47:{1,4,5,7}:{(25,1),(27,1),(66,1),(75,1),(135,1),(209,1)}
        48:{1,5,6,7}:{(26,1),(67,1),(74,1),(76,1),(256,1)}
        49:{2,4,6,7}:{(26,1),(27,1),(68,1),(75,1),(76,1),(77,1),(140,1),(260,1)}
        50:{2,3,4,7}:{(28,1),(36,1),(78,1),(79,1),(89,1),(102,1),(142,1),(153,1),(156,1),(235,1),(236,1),(265,1),(278,1)}
        51:{1,4,7}:{(28,1),(30,1),(81,1),(215,1)}
        52:{2,4,6}:{(28,1),(29,1),(31,1),(81,1),(82,1)}
        53:{1,3,5}:{(29,1),(82,1),(83,1),(149,1)}
        54:{1,2,5,7}:{(30,1),(80,1),(84,1),(90,1),(147,1),(305,1)}
        55:{1,3,6}:{(30,1),(31,1),(81,1),(84,1)}
        56:{2,3,5,6}:{(31,1),(32,1),(34,1),(40,1),(82,1),(85,1),(86,1),(98,1),(149,1),(158,1),(164,1),(212,1),(217,1),(218,1),(226,1)}
        57:{1,4,6}:{(32,1),(35,1),(83,1),(86,1),(263,1)}
        58:{1,2,6,7}:{(33,1),(84,1),(87,1),(100,1),(164,1),(175,1)}
        59:{1,3,5,7}:{(33,1),(34,1),(42,1),(85,1),(87,1),(88,1),(152,1)}
        60:{2,4,7}:{(34,1),(35,1),(86,1),(88,1),(89,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(78,1),(90,1),(91,1),(144,1),(165,1),(305,1)}
        62:{2,3,6}:{(36,1),(38,1),(91,1),(98,1),(164,1),(226,1),(280,1),(304,1)}
        63:{1,2,4,5,7}:{(37,1),(80,1),(90,1),(93,1),(94,1),(104,1),(147,1),(156,1),(170,1),(173,1),(213,1),(215,1),(224,1),(228,1),(234,1),(305,1)}
        64:{1,4,6}:{(37,1),(38,1),(91,1),(95,1)}
        65:{2,5,6}:{(38,1),(39,1),(46,1),(82,1),(95,1),(224,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(47,1),(83,1),(96,1),(159,1),(228,1),(229,1),(238,1)}
        67:{1,5,6}:{(40,1),(42,1),(97,1)}
        68:{2,4,6}:{(40,1),(41,1),(43,1),(97,1),(98,1),(164,1)}
        69:{1,4,5,7}:{(42,1),(43,1),(88,1),(97,1),(99,1),(148,1)}
        70:{3,5,7}:{(43,1),(89,1),(98,1),(149,1)}
        71:{1,3,6,7}:{(44,1),(45,1),(91,1),(100,1),(101,1),(175,1)}
        72:{2,3,5,7}:{(44,1),(46,1),(92,1),(101,1),(102,1),(106,1),(174,1),(236,1)}
        73:{1,2,4,6,7}:{(45,1),(94,1),(100,1),(103,1),(104,1),(168,1),(170,1),(173,1)}
        74:{1,5,7}:{(45,1),(46,1),(95,1)}
        75:{2,4,5,7}:{(46,1),(47,1),(49,1),(96,1),(102,1),(105,1),(106,1),(170,1),(174,1)}
        76:{1,4,6,7}:{(48,1),(49,1),(97,1),(105,1),(107,1),(276,1)}
        77:{3,6,7}:{(49,1),(98,1),(106,1),(280,1)}
        78:{1,3,4,7}:{(50,1),(51,1),(61,1),(108,1),(109,1),(111,1),(135,1),(176,1),(188,1),(189,1),(205,1),(262,1),(294,1)}
        79:{2,3,4,6}:{(50,1),(52,1),(62,1),(109,1),(110,1),(117,1),(124,1),(178,1),(186,1),(192,1),(241,1),(253,1),(254,1),(284,1),(289,1)}
        80:{1,2,4,7}:{(51,1),(54,1),(108,1),(111,1),(112,1),(294,1),(295,1)}
        81:{1,4,6}:{(51,1),(52,1),(55,1),(113,1)}
        82:{2,5}:{(52,1),(53,1),(113,1)}
        83:{1,4,5}:{(53,1),(57,1),(114,1),(246,1)}
        84:{1,2,6}:{(54,1),(55,1),(122,1),(311,1)}
        85:{1,3,5,6}:{(55,1),(56,1),(59,1),(67,1),(113,1),(115,1),(116,1),(130,1),(182,1),(184,1),(185,1)}
        86:{2,4,6}:{(56,1),(57,1),(60,1),(114,1),(116,1),(117,1),(241,1)}
        87:{1,2,5,7}:{(58,1),(59,1),(115,1),(118,1),(131,1),(134,1),(209,1)}
        88:{1,4,7}:{(59,1),(60,1),(116,1)}
        89:{3,4,7}:{(60,1),(70,1),(117,1),(205,1)}
        90:{2,5,7}:{(61,1),(108,1),(122,1),(179,1)}
        91:{1,3,6}:{(61,1),(62,1),(64,1),(122,1),(199,1),(311,1)}
        92:{2,3,5,6}:{(62,1),(65,1),(72,1),(110,1),(123,1),(124,1),(129,1),(198,1),(254,1)}
        93:{1,3,5,7}:{(63,1),(111,1),(121,1),(125,1),(126,1),(182,1),(196,1),(205,1),(242,1),(261,1)}
        94:{1,2,4,6}:{(63,1),(64,1),(122,1),(126,1),(127,1),(192,1),(194,1),(197,1),(260,1),(311,1)}
        95:{1,5,6}:{(64,1),(65,1),(74,1),(113,1),(249,1)}
        96:{2,4,5,6}:{(65,1),(66,1),(68,1),(75,1),(114,1),(124,1),(128,1),(129,1),(194,1),(198,1),(252,1),(260,1)}
        97:{1,4,6}:{(67,1),(68,1),(69,1),(130,1)}
        98:{3,6}:{(68,1),(70,1)}
        99:{1,3,5,7}:{(69,1),(70,1),(119,1),(130,1),(131,1),(184,1)}
       100:{2,6,7}:{(71,1),(122,1),(134,1)}
       101:{1,3,5,7}:{(71,1),(72,1),(74,1),(123,1),(134,1),(135,1),(205,1),(209,1),(262,1)}
       102:{2,4,7}:{(72,1),(124,1),(135,1),(136,1)}
       103:{1,3,6,7}:{(73,1),(126,1),(133,1),(138,1),(205,1),(311,1)}
       104:{1,2,5,7}:{(73,1),(74,1),(127,1),(134,1),(138,1),(203,1),(295,1)}
       105:{1,4,5,7}:{(74,1),(75,1),(76,1),(128,1),(135,1),(139,1)}
       106:{3,5,7}:{(75,1),(77,1),(129,1),(136,1),(205,1)}
       107:{1,3,6,7}:{(76,1),(77,1),(130,1),(139,1),(140,1),(292,1)}
       108:{2,4,7}:{(78,1),(90,1),(142,1),(143,1),(281,1)}
       109:{1,3,4,6}:{(78,1),(79,1),(81,1),(91,1),(143,1),(144,1),(146,1),(159,1),(210,1),(215,1),(219,1),(221,1),(226,1),(263,1),(265,1),(275,1),(298,1),(302,1)}
       110:{2,3,5}:{(79,1),(82,1),(144,1),(145,1),(149,1),(217,1),(224,1),(274,1),(301,1)}
       111:{1,3,7}:{(80,1),(142,1),(146,1)}
       112:{1,2,4,6}:{(80,1),(81,1),(84,1),(143,1),(146,1),(147,1),(215,1),(302,1),(303,1),(312,1)}
       113:{1,5}:{(81,1),(82,1)}
       114:{2,4,5}:{(82,1),(83,1),(86,1),(148,1),(149,1),(217,1)}
       115:{1,2,5,6}:{(84,1),(85,1),(87,1),(147,1),(150,1),(158,1),(164,1),(217,1),(229,1)}
       116:{1,4,6}:{(85,1),(86,1),(88,1),(148,1),(215,1)}
       117:{3,4,6}:{(86,1),(89,1),(98,1),(149,1),(226,1),(265,1)}
       118:{1,2,4,7}:{(87,1),(88,1),(150,1),(152,1),(153,1),(170,1),(237,1),(281,1)}
       119:{1,3,4,7}:{(88,1),(89,1),(99,1),(151,1),(152,1),(153,1)}
       120:{1,2,5,7}:{(90,1),(141,1),(154,1),(155,1),(165,1),(211,1)}
       121:{2,3,5,7}:{(90,1),(93,1),(142,1),(154,1),(156,1),(157,1),(212,1),(224,1)}
       122:{2,6}:{(90,1),(91,1)}
       123:{1,3,5,6}:{(91,1),(92,1),(95,1),(101,1),(144,1),(158,1),(159,1),(226,1),(229,1),(275,1)}
       124:{2,4,6}:{(92,1),(102,1),(145,1),(159,1),(160,1)}
       125:{1,3,4,7}:{(93,1),(156,1),(161,1),(173,1),(215,1),(235,1),(265,1)}
       126:{1,3,6}:{(93,1),(94,1),(157,1),(226,1),(280,1)}
       127:{1,2,5,6}:{(94,1),(95,1),(104,1),(147,1),(158,1),(162,1),(224,1),(233,1),(303,1)}
       128:{1,4,5,6}:{(95,1),(96,1),(97,1),(105,1),(148,1),(159,1),(163,1),(271,1),(276,1)}
       129:{3,5,6}:{(96,1),(98,1),(106,1),(149,1),(160,1),(226,1),(274,1),(280,1)}
       130:{1,3,6}:{(97,1),(98,1),(99,1),(164,1)}
       131:{2,5,7}:{(99,1),(153,1),(164,1),(165,1),(217,1)}
       132:{1,2,6,7}:{(100,1),(155,1),(166,1),(167,1),(175,1),(304,1)}
       133:{2,3,6,7}:{(100,1),(103,1),(157,1),(166,1),(168,1),(169,1),(280,1),(304,1)}
       134:{2,5,7}:{(100,1),(101,1),(158,1),(170,1),(281,1)}
       135:{1,4,7}:{(101,1),(102,1),(159,1),(170,1)}
       136:{3,4,7}:{(102,1),(106,1),(160,1)}
       137:{1,3,4,6,7}:{(103,1),(161,1),(168,1),(172,1),(173,1),(235,1),(238,1),(280,1)}
       138:{1,3,5,7}:{(103,1),(104,1),(162,1),(169,1),(173,1),(279,1),(305,1)}
       139:{1,3,5,7}:{(105,1),(106,1),(107,1),(163,1),(171,1),(174,1)}
       140:{2,6,7}:{(107,1),(164,1),(174,1),(175,1),(304,1)}
       141:{1,2,4,7}:{(108,1),(120,1),(176,1),(177,1),(188,1),(189,1),(248,1)}
       142:{2,3,7}:{(108,1),(111,1),(176,1),(178,1),(205,1)}
       143:{2,4,6}:{(108,1),(109,1),(122,1),(178,1),(179,1),(241,1),(291,1),(308,1)}
       144:{1,3,5}:{(109,1),(110,1),(113,1),(179,1),(180,1),(242,1),(246,1),(249,1),(310,1)}
       145:{2,4,5}:{(110,1),(124,1),(180,1),(181,1),(241,1)}
       146:{1,3,6}:{(111,1),(112,1),(178,1),(182,1),(314,1)}
       147:{1,2,5}:{(112,1),(113,1),(179,1),(182,1),(310,1)}
       148:{1,4,5}:{(113,1),(114,1),(116,1),(184,1)}
       149:{3,5}:{(114,1),(117,1)}
       150:{1,2,4,6}:{(115,1),(116,1),(118,1),(183,1),(185,1),(186,1),(194,1),(255,1),(291,1)}
       151:{1,3,4,6}:{(116,1),(117,1),(119,1),(130,1),(184,1),(185,1),(186,1),(244,1)}
       152:{1,3,7}:{(118,1),(185,1),(187,1),(205,1)}
       153:{2,4,7}:{(119,1),(131,1),(186,1),(187,1),(188,1)}
       154:{1,3,5,7}:{(120,1),(121,1),(176,1),(189,1),(190,1),(239,1),(249,1)}
       155:{1,2,6}:{(120,1),(122,1),(190,1),(199,1)}
       156:{2,4,7}:{(121,1),(125,1),(189,1),(192,1),(241,1)}
       157:{2,3,6}:{(121,1),(122,1),(126,1),(190,1),(192,1)}
       158:{2,5,6}:{(122,1),(123,1),(134,1),(179,1),(194,1),(291,1)}
       159:{1,4,6}:{(123,1),(124,1),(135,1),(180,1),(194,1)}
       160:{3,4,6}:{(124,1),(129,1),(136,1),(181,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(192,1),(196,1),(197,1),(253,1)}
       162:{1,3,5,6}:{(126,1),(127,1),(138,1),(182,1),(193,1),(196,1),(197,1),(290,1),(310,1),(311,1)}
       163:{1,3,5,6}:{(128,1),(129,1),(130,1),(139,1),(184,1),(195,1),(198,1),(288,1),(292,1)}
       164:{2,6}:{(130,1),(131,1),(199,1)}
       165:{1,5,7}:{(131,1),(188,1),(199,1),(246,1)}
       166:{1,3,6,7}:{(132,1),(133,1),(190,1),(200,1),(201,1),(292,1)}
       167:{1,2,5,7}:{(132,1),(134,1),(191,1),(201,1),(202,1),(209,1),(293,1)}
       168:{2,4,6,7}:{(133,1),(137,1),(192,1),(200,1),(203,1),(204,1),(260,1)}
       169:{2,3,5,7}:{(133,1),(134,1),(138,1),(193,1),(201,1),(203,1),(204,1),(205,1),(259,1),(261,1),(293,1)}
       170:{2,4,7}:{(134,1),(135,1),(194,1),(205,1)}
       171:{1,3,4,7}:{(135,1),(136,1),(139,1),(195,1),(205,1),(206,1),(262,1)}
       172:{1,3,5,7}:{(137,1),(196,1),(203,1),(207,1),(208,1),(261,1)}
       173:{1,4,7}:{(138,1),(197,1),(204,1)}
       174:{2,5,7}:{(139,1),(140,1),(198,1),(206,1),(209,1)}
       175:{1,6,7}:{(140,1),(199,1),(209,1),(311,1)}
       176:{1,3,7}:{(141,1),(142,1),(210,1)}
       177:{1,2,4,6}:{(141,1),(143,1),(155,1),(210,1),(211,1),(219,1),(221,1),(263,1),(270,1),(300,1)}
       178:{2,3,6}:{(142,1),(143,1),(146,1),(210,1),(212,1),(226,1),(313,1)}
       179:{2,5}:{(143,1),(144,1)}
       180:{1,4,5}:{(144,1),(145,1),(159,1),(213,1),(215,1),(263,1)}
       181:{3,4,5}:{(145,1),(149,1),(160,1),(265,1),(274,1)}
       182:{1,3,5}:{(146,1),(147,1),(212,1),(215,1)}
       183:{1,2,4,5}:{(147,1),(148,1),(150,1),(213,1),(215,1),(216,1),(217,1),(267,1),(268,1),(299,1),(312,1)}
       184:{1,3,5}:{(148,1),(149,1),(151,1),(217,1)}
       185:{1,3,6}:{(150,1),(152,1),(216,1),(218,1),(226,1)}
       186:{2,4,6}:{(151,1),(153,1),(164,1),(217,1),(218,1),(219,1),(268,1)}
       187:{2,3,7}:{(152,1),(153,1),(218,1),(220,1),(281,1)}
       188:{1,4,7}:{(153,1),(165,1),(219,1),(220,1)}
       189:{1,4,7}:{(154,1),(156,1),(221,1),(263,1)}
       190:{1,3,6}:{(154,1),(155,1),(157,1),(221,1)}
       191:{1,2,5,6}:{(155,1),(158,1),(167,1),(211,1),(222,1),(223,1),(229,1),(301,1),(304,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(221,1),(224,1)}
       193:{2,3,5,6}:{(157,1),(158,1),(162,1),(169,1),(212,1),(222,1),(224,1),(225,1),(226,1),(233,1),(273,1),(274,1),(280,1),(301,1),(304,1)}
       194:{2,4,6}:{(158,1),(159,1),(170,1),(213,1),(226,1)}
       195:{1,3,4,6}:{(159,1),(160,1),(163,1),(171,1),(214,1),(226,1),(227,1),(275,1)}
       196:{1,3,5}:{(161,1),(224,1),(228,1),(274,1)}
       197:{1,4,6}:{(162,1),(173,1),(215,1),(225,1),(228,1)}
       198:{2,5,6}:{(163,1),(164,1),(174,1),(217,1),(227,1),(229,1),(301,1),(304,1)}
       199:{1,6}:{(164,1),(165,1)}
       200:{1,4,6,7}:{(166,1),(168,1),(221,1),(230,1),(231,1),(276,1)}
       201:{1,3,5,7}:{(166,1),(167,1),(169,1),(222,1),(230,1),(231,1),(232,1)}
       202:{1,2,4,7}:{(167,1),(170,1),(223,1),(231,1),(232,1),(237,1),(278,1),(281,1)}
       203:{2,5,7}:{(168,1),(172,1),(224,1),(230,1),(233,1)}
       204:{2,4,7}:{(169,1),(173,1),(225,1),(231,1),(235,1)}
       205:{3,7}:{(170,1),(226,1)}
       206:{2,4,7}:{(171,1),(174,1),(227,1),(236,1),(237,1),(281,1)}
       207:{1,3,5,6}:{(172,1),(233,1),(238,1),(280,1)}
       208:{1,4,5,7}:{(172,1),(173,1),(228,1),(234,1),(238,1),(305,1)}
       209:{1,5,7}:{(174,1),(175,1),(229,1),(237,1)}
       210:{1,3,6}:{(176,1),(177,1),(178,1),(239,1),(309,1)}
       211:{1,2,5}:{(177,1),(179,1),(239,1),(246,1),(249,1)}
       212:{2,3,5}:{(178,1),(179,1),(182,1),(239,1),(241,1),(242,1)}
       213:{2,4,5}:{(179,1),(180,1),(194,1),(241,1),(242,1)}
       214:{1,3,4,5}:{(180,1),(181,1),(184,1),(195,1),(242,1),(243,1),(244,1),(282,1),(285,1),(288,1)}
       215:{1,4}:{(182,1),(241,1)}
       216:{1,3,5}:{(183,1),(185,1),(242,1),(244,1),(245,1),(314,1)}
       217:{2,5}:{(184,1),(186,1),(246,1)}
       218:{2,3,6}:{(185,1),(186,1),(187,1),(245,1),(247,1),(291,1)}
       219:{1,4,6}:{(186,1),(188,1),(199,1),(246,1),(247,1),(286,1)}
       220:{1,3,7}:{(187,1),(188,1),(247,1),(248,1)}
       221:{1,4,6}:{(189,1),(190,1),(192,1),(249,1)}
       222:{1,3,5,6}:{(190,1),(191,1),(193,1),(201,1),(239,1),(249,1),(250,1),(251,1),(256,1),(288,1),(292,1)}
       223:{1,2,4,6}:{(191,1),(194,1),(202,1),(240,1),(250,1),(251,1),(255,1),(289,1),(291,1)}
       224:{2,5}:{(192,1),(196,1),(249,1)}
       225:{2,4,6}:{(193,1),(197,1),(204,1),(241,1),(250,1),(252,1),(253,1)}
       226:{3,6}:{(194,1),(205,1),(242,1)}
       227:{2,4,6}:{(195,1),(198,1),(206,1),(243,1),(254,1),(255,1),(291,1)}
       228:{1,4,5}:{(196,1),(197,1),(252,1),(310,1)}
       229:{1,5,6}:{(198,1),(199,1),(209,1),(246,1),(255,1),(310,1),(311,1)}
       230:{1,5,7}:{(200,1),(203,1),(249,1),(256,1)}
       231:{1,4,7}:{(201,1),(204,1),(250,1)}
       232:{1,3,7}:{(202,1),(205,1),(251,1),(259,1)}
       233:{2,5,6}:{(203,1),(207,1),(256,1),(260,1)}
       234:{2,4,5,7}:{(203,1),(204,1),(208,1),(252,1),(257,1),(260,1),(261,1),(293,1)}
       235:{3,4,7}:{(204,1),(205,1),(253,1),(261,1)}
       236:{2,3,7}:{(205,1),(206,1),(254,1),(262,1)}
       237:{1,4,7}:{(206,1),(209,1),(255,1),(262,1)}
       238:{1,4,6}:{(207,1),(208,1),(260,1),(311,1)}
       239:{1,3,5}:{(210,1),(211,1),(212,1),(263,1)}
       240:{1,2,4,5}:{(211,1),(213,1),(223,1),(263,1),(264,1),(267,1),(271,1),(296,1),(299,1),(300,1),(301,1)}
       241:{2,4}:{(212,1),(215,1),(263,1),(265,1)}
       242:{3,5}:{(213,1),(226,1),(265,1)}
       243:{2,4,5}:{(214,1),(217,1),(227,1),(266,1),(267,1),(268,1),(296,1),(299,1),(301,1)}
       244:{1,3,4}:{(215,1),(216,1),(265,1),(268,1)}
       245:{2,3,5}:{(216,1),(217,1),(218,1),(268,1),(269,1),(299,1),(313,1)}
       246:{1,5}:{(217,1),(219,1)}
       247:{1,3,6}:{(218,1),(219,1),(220,1),(269,1),(270,1)}
       248:{1,2,7}:{(220,1),(270,1),(281,1)}
       249:{1,5}:{(221,1),(224,1)}
       250:{1,4,6}:{(222,1),(225,1),(231,1),(263,1),(271,1)}
       251:{1,3,6}:{(223,1),(226,1),(232,1),(264,1),(273,1)}
       252:{2,4,5}:{(224,1),(225,1),(228,1),(271,1),(274,1),(301,1)}
       253:{3,4,6}:{(225,1),(226,1),(235,1),(265,1),(274,1),(280,1)}
       254:{2,3,6}:{(226,1),(227,1),(236,1),(266,1),(275,1)}
       255:{1,4,6}:{(227,1),(229,1),(237,1),(267,1),(275,1)}
       256:{1,5,6}:{(230,1),(233,1),(276,1)}
       257:{1,4,5,7}:{(230,1),(231,1),(234,1),(271,1),(276,1),(277,1)}
       258:{1,3,4,7}:{(231,1),(232,1),(235,1),(272,1),(277,1),(278,1)}
       259:{2,3,7}:{(232,1),(273,1),(278,1),(279,1),(281,1)}
       260:{2,4,6}:{(233,1),(234,1),(238,1),(276,1),(280,1),(304,1)}
       261:{3,5,7}:{(234,1),(235,1),(274,1),(280,1)}
       262:{1,3,7}:{(236,1),(237,1),(275,1),(281,1)}
       263:{1,4}:{(239,1),(241,1)}
       264:{1,3,5}:{(240,1),(242,1),(251,1),(282,1),(283,1),(309,1)}
       265:{3,4}:{(241,1),(242,1)}
       266:{2,3,5}:{(242,1),(243,1),(254,1),(284,1),(285,1)}
       267:{1,4,5}:{(243,1),(246,1),(255,1),(285,1),(286,1),(306,1),(310,1)}
       268:{2,4}:{(244,1),(245,1),(286,1)}
       269:{1,3,5}:{(245,1),(246,1),(247,1),(286,1),(287,1),(309,1)}
       270:{1,2,6}:{(247,1),(248,1),(287,1),(291,1)}
       271:{1,4,5}:{(249,1),(250,1),(252,1),(288,1)}
       272:{1,3,4,6}:{(250,1),(251,1),(253,1),(258,1),(282,1),(288,1),(289,1),(292,1)}
       273:{2,3,6}:{(251,1),(259,1),(283,1),(289,1),(290,1),(291,1)}
       274:{3,5}:{(252,1),(253,1)}
       275:{1,3,6}:{(254,1),(255,1),(262,1),(285,1),(291,1)}
       276:{1,4,6}:{(256,1),(257,1),(260,1),(292,1)}
       277:{1,3,5,7}:{(257,1),(258,1),(261,1),(288,1),(292,1),(293,1)}
       278:{2,4,7}:{(258,1),(259,1),(289,1),(293,1),(294,1)}
       279:{1,3,7}:{(259,1),(290,1),(294,1),(295,1)}
       280:{3,6}:{(260,1),(261,1)}
       281:{2,7}:{(262,1),(291,1)}
       282:{1,3,4}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,3,5}:{(264,1),(273,1),(296,1),(297,1),(299,1),(301,1),(313,1)}
       284:{2,3,4}:{(265,1),(266,1),(268,1),(296,1),(298,1),(313,1)}
       285:{1,3,5}:{(266,1),(267,1),(275,1),(298,1),(299,1)}
       286:{1,4}:{(268,1),(269,1)}
       287:{1,2,5}:{(269,1),(270,1),(299,1),(300,1)}
       288:{1,3,5}:{(271,1),(272,1),(274,1),(301,1)}
       289:{2,4,6}:{(272,1),(273,1),(278,1),(296,1),(301,1),(302,1),(304,1)}
       290:{1,3,6}:{(273,1),(279,1),(297,1),(302,1),(303,1)}
       291:{2,6}:{(275,1),(281,1),(299,1)}
       292:{1,3,6}:{(276,1),(277,1),(280,1),(304,1)}
       293:{2,5,7}:{(277,1),(278,1),(301,1),(304,1),(305,1)}
       294:{1,4,7}:{(278,1),(279,1),(302,1),(305,1)}
       295:{1,2,7}:{(279,1),(281,1),(303,1)}
       296:{2,4}:{(282,1),(283,1),(306,1)}
       297:{1,3,5}:{(283,1),(290,1),(306,1),(307,1),(310,1),(314,1)}
       298:{1,3,4}:{(284,1),(285,1),(286,1),(306,1),(308,1),(309,1),(314,1)}
       299:{2,5}:{(285,1),(291,1),(308,1)}
       300:{1,2,4}:{(286,1),(287,1),(308,1),(309,1)}
       301:{2,5}:{(288,1),(289,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(294,1),(306,1),(310,1),(311,1)}
       303:{1,2,6}:{(290,1),(291,1),(295,1),(307,1)}
       304:{2,6}:{(292,1),(293,1),(311,1)}
       305:{1,5,7}:{(293,1),(294,1),(310,1),(311,1)}
       306:{1,4}:{(296,1),(297,1)}
       307:{1,2,5}:{(297,1),(299,1),(303,1),(312,1)}
       308:{2,4}:{(298,1),(299,1),(313,1)}
       309:{1,3}:{(300,1),(313,1)}
       310:{1,5}:{(301,1),(302,1)}
       311:{1,6}:{(304,1),(305,1)}
       312:{1,2,4}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,3}:{(308,1),(309,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1971 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(16,1),(26,1),(52,1),(62,1),(91,1),(92,1),(94,1),(97,1),(126,1),(163,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(27,1),(31,1),(38,1),(65,1),(70,1),(72,1),(76,1),(83,1),(106,1),(115,1),(116,1),(119,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(41,1),(81,1),(113,1),(118,1),(142,1)}
         3:{1,2,4,6,7}:{(6,1),(9,1),(10,1),(37,1),(38,1),(83,1),(124,1),(143,1),(144,1),(145,1),(154,1)}
         4:{2,3,5,6,7}:{(5,1),(11,1),(12,1),(41,1),(81,1),(82,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(48,1),(89,1),(92,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(50,1),(52,1),(97,1),(126,1),(135,1),(136,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(53,1),(96,1),(103,1),(125,1),(137,1),(155,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(52,1),(90,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(21,1),(56,1),(127,1),(157,1),(163,1)}
        10:{1,2,5,7}:{(3,1),(17,1),(20,1),(21,1),(103,1),(141,1),(155,1)}
        11:{1,3,5,6,7}:{(4,1),(14,1),(24,1),(25,1),(60,1),(61,1),(103,1),(104,1)}
        12:{2,4,6,7}:{(4,1),(15,1),(23,1),(25,1),(26,1)}
        13:{1,2,4,6,7}:{(6,1),(27,1),(28,1),(64,1),(65,1),(83,1),(119,1),(120,1),(121,1),(124,1),(154,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(30,1),(31,1),(70,1),(112,1),(115,1)}
        15:{2,4,6}:{(5,1),(8,1),(31,1),(32,1)}
        16:{2,3,6,7}:{(6,1),(9,1),(27,1),(33,1),(70,1),(77,1),(107,1),(124,1),(151,1)}
        17:{2,5,7}:{(6,1),(7,1),(30,1),(118,1),(142,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(31,1),(34,1),(38,1),(65,1),(75,1),(105,1)}
        19:{3,4,5,7}:{(8,1),(32,1),(41,1),(72,1),(113,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(36,1),(37,1),(112,1),(118,1),(144,1),(148,1),(164,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(38,1)}
        22:{1,2,4,5,7}:{(10,1),(34,1),(37,1),(38,1),(39,1),(74,1),(75,1),(78,1),(117,1),(118,1),(145,1),(154,1),(164,1),(166,1),(173,1)}
        23:{2,4,5,7}:{(12,1),(29,1),(40,1),(41,1),(81,1),(154,1)}
        24:{2,5,6,7}:{(11,1),(30,1),(42,1),(81,1),(124,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(31,1),(40,1),(42,1)}
        26:{3,4,6,7}:{(12,1),(32,1),(41,1)}
        27:{1,3,6,7}:{(13,1),(16,1),(45,1),(85,1),(98,1),(139,1),(163,1)}
        28:{1,2,5,7}:{(13,1),(17,1),(44,1),(45,1),(103,1),(137,1),(141,1)}
        29:{2,4,5,6}:{(15,1),(23,1),(47,1),(48,1),(89,1),(90,1),(159,1)}
        30:{2,5,6}:{(14,1),(17,1),(50,1),(135,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(50,1)}
        32:{3,4,6}:{(15,1),(19,1),(48,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(21,1),(45,1),(49,1),(52,1),(53,1),(141,1),(163,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(50,1),(52,1),(53,1),(90,1)}
        35:{1,3,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(57,1),(60,1),(86,1),(95,1),(96,1),(101,1),(125,1),(130,1),(140,1),(158,1),(163,1),(171,1)}
        36:{1,3,5,6}:{(20,1),(21,1),(49,1),(55,1),(56,1),(96,1),(127,1),(155,1),(170,1)}
        37:{1,2,4,6}:{(20,1),(22,1),(50,1),(55,1),(56,1),(93,1),(97,1),(135,1),(159,1)}
        38:{1,4,7}:{(21,1),(52,1),(55,1)}
        39:{1,3,5,7}:{(22,1),(53,1),(56,1),(57,1),(58,1),(96,1),(157,1),(163,1),(170,1),(171,1)}
        40:{1,4,5,7}:{(23,1),(25,1),(47,1),(59,1),(60,1),(103,1),(140,1)}
        41:{3,5,7}:{(23,1),(26,1),(48,1),(163,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(50,1),(59,1),(61,1)}
        43:{1,3,4,6,7}:{(25,1),(26,1),(51,1),(60,1),(61,1),(62,1),(101,1),(104,1),(140,1),(163,1)}
        44:{1,2,5,6}:{(28,1),(30,1),(63,1),(64,1),(112,1),(120,1),(142,1),(148,1),(152,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(33,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(34,1),(64,1),(65,1),(66,1),(74,1),(105,1),(108,1),(117,1),(121,1),(142,1),(152,1),(154,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(31,1),(40,1),(67,1),(68,1),(75,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(32,1),(41,1),(113,1),(167,1)}
        49:{2,3,5,6}:{(30,1),(33,1),(36,1),(63,1),(69,1),(70,1),(77,1),(107,1),(113,1),(118,1),(142,1),(148,1),(167,1),(168,1)}
        50:{2,4,6}:{(30,1),(31,1),(34,1),(70,1)}
        51:{1,3,4,6}:{(31,1),(32,1),(35,1),(68,1),(70,1),(71,1),(110,1),(115,1),(147,1),(167,1)}
        52:{2,4,7}:{(33,1),(38,1),(65,1),(69,1),(72,1)}
        53:{3,5,7}:{(34,1),(70,1),(72,1),(113,1)}
        54:{2,4,5,7}:{(35,1),(71,1),(73,1),(74,1),(78,1),(81,1),(108,1),(117,1),(118,1),(122,1),(142,1),(146,1),(154,1),(166,1)}
        55:{1,4,6}:{(36,1),(38,1),(69,1),(75,1),(173,1)}
        56:{1,3,6}:{(37,1),(39,1),(70,1),(77,1),(167,1)}
        57:{1,3,4,7}:{(38,1),(39,1),(72,1),(76,1),(78,1),(173,1),(174,1)}
        58:{2,3,5,7}:{(39,1),(77,1),(78,1),(79,1),(117,1),(118,1),(151,1),(168,1)}
        59:{2,4,5,7}:{(40,1),(42,1),(67,1),(80,1),(81,1),(122,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(43,1),(68,1),(80,1),(81,1)}
        61:{3,6,7}:{(42,1),(70,1),(80,1)}
        62:{2,4,6,7}:{(43,1),(71,1),(81,1),(82,1),(83,1),(122,1),(124,1),(154,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(49,1),(84,1),(85,1),(98,1),(125,1),(137,1),(162,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(50,1),(84,1),(85,1),(93,1),(126,1),(135,1),(159,1)}
        65:{1,4,7}:{(45,1),(52,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(53,1),(85,1),(86,1),(87,1),(125,1),(139,1),(162,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(50,1),(59,1),(88,1),(89,1),(90,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(51,1),(60,1),(88,1),(89,1),(96,1),(125,1)}
        69:{2,4,6}:{(49,1),(52,1),(55,1),(84,1),(90,1),(91,1),(172,1)}
        70:{3,6}:{(50,1),(53,1)}
        71:{2,4,6}:{(51,1),(54,1),(89,1),(92,1),(93,1),(135,1)}
        72:{3,4,7}:{(52,1),(53,1),(91,1),(163,1)}
        73:{2,3,5,7}:{(53,1),(54,1),(92,1),(94,1),(95,1),(133,1),(163,1),(171,1)}
        74:{1,4,5,7}:{(54,1),(93,1),(95,1),(99,1),(103,1),(128,1),(137,1),(140,1),(155,1),(158,1)}
        75:{1,4,5}:{(55,1),(90,1),(96,1),(155,1)}
        76:{1,3,4,6}:{(55,1),(56,1),(57,1),(91,1),(96,1),(97,1)}
        77:{2,3,6}:{(56,1),(58,1),(97,1),(98,1),(135,1)}
        78:{2,4,7}:{(57,1),(58,1),(97,1),(99,1),(172,1)}
        79:{1,3,5,7}:{(58,1),(98,1),(99,1),(100,1),(137,1),(139,1),(162,1)}
        80:{3,5,7}:{(59,1),(61,1),(88,1),(101,1)}
        81:{2,5,7}:{(60,1),(62,1),(89,1),(103,1)}
        82:{2,3,6,7}:{(61,1),(62,1),(92,1),(102,1),(104,1),(163,1)}
        83:{1,4,6,7}:{(62,1),(93,1),(103,1),(104,1),(140,1)}
        84:{1,4,6}:{(63,1),(65,1),(69,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(70,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(72,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(117,1),(142,1),(151,1),(168,1)}
        88:{3,5,6}:{(67,1),(70,1),(80,1),(110,1),(113,1)}
        89:{2,5,6}:{(68,1),(71,1),(81,1),(112,1),(118,1),(142,1)}
        90:{2,4,5}:{(69,1),(75,1),(105,1),(113,1),(118,1),(142,1)}
        91:{3,4,6}:{(69,1),(70,1),(72,1),(113,1),(167,1),(174,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(167,1)}
        93:{1,4,6}:{(71,1),(74,1),(112,1),(115,1)}
        94:{2,3,4,7}:{(72,1),(73,1),(78,1),(108,1),(114,1),(116,1),(122,1),(151,1),(174,1)}
        95:{1,3,5,7}:{(73,1),(74,1),(115,1),(116,1),(117,1),(149,1)}
        96:{1,3,5}:{(75,1),(76,1),(113,1),(118,1)}
        97:{2,4,6}:{(76,1),(77,1),(78,1),(118,1),(119,1)}
        98:{1,3,6}:{(77,1),(79,1),(119,1),(120,1)}
        99:{1,4,7}:{(78,1),(79,1),(119,1),(169,1)}
       100:{1,2,5,7}:{(79,1),(117,1),(120,1),(121,1),(152,1)}
       101:{3,4,7}:{(80,1),(110,1),(122,1)}
       102:{2,3,5,7}:{(80,1),(81,1),(82,1),(111,1),(122,1),(123,1)}
       103:{1,5,7}:{(81,1),(83,1),(112,1)}
       104:{1,3,6,7}:{(82,1),(83,1),(115,1),(123,1),(124,1)}
       105:{1,4,5}:{(84,1),(90,1),(125,1),(137,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(91,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(135,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(101,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(92,1),(102,1),(131,1),(132,1),(133,1)}
       112:{1,5,6}:{(89,1),(93,1),(103,1),(137,1),(155,1)}
       113:{3,5}:{(90,1),(91,1)}
       114:{2,3,4,6}:{(91,1),(92,1),(94,1),(97,1),(126,1),(131,1),(133,1),(134,1),(161,1),(172,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(135,1)}
       116:{1,3,4,7}:{(94,1),(95,1),(99,1),(128,1),(134,1),(136,1),(139,1),(140,1),(157,1),(163,1)}
       117:{2,5,7}:{(95,1),(135,1),(136,1),(160,1)}
       118:{2,5}:{(96,1),(97,1),(137,1)}
       119:{1,4,6}:{(97,1),(98,1),(99,1),(137,1)}
       120:{1,2,6}:{(98,1),(100,1),(135,1)}
       121:{1,2,4,7}:{(99,1),(100,1),(136,1),(138,1),(139,1)}
       122:{2,4,7}:{(101,1),(102,1),(131,1),(140,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(132,1),(140,1),(141,1),(163,1)}
       124:{2,6,7}:{(104,1),(135,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(113,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(117,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(122,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(115,1),(123,1),(147,1),(148,1),(149,1),(167,1)}
       133:{2,3,5}:{(113,1),(114,1),(118,1),(142,1),(146,1),(149,1)}
       134:{1,3,4,6}:{(114,1),(115,1),(116,1),(119,1),(143,1),(147,1),(149,1),(150,1),(153,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       135:{2,6}:{(115,1),(117,1)}
       136:{2,4,7}:{(116,1),(117,1),(150,1),(151,1)}
       137:{1,5}:{(118,1),(119,1)}
       138:{1,2,4,6}:{(119,1),(120,1),(121,1),(150,1),(152,1),(153,1),(169,1)}
       139:{1,3,7}:{(121,1),(151,1),(153,1)}
       140:{1,4,7}:{(122,1),(123,1),(147,1),(154,1)}
       141:{2,5,7}:{(123,1),(124,1),(148,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(135,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(136,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(133,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(140,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(135,1),(141,1),(159,1),(160,1)}
       149:{1,3,5}:{(133,1),(134,1),(137,1),(155,1),(158,1),(160,1),(171,1)}
       150:{2,4,6}:{(134,1),(135,1),(136,1),(160,1),(161,1),(172,1)}
       151:{2,3,7}:{(136,1),(139,1),(157,1),(161,1),(163,1)}
       152:{1,2,5}:{(137,1),(138,1),(160,1),(162,1)}
       153:{1,3,6}:{(138,1),(139,1),(161,1),(162,1)}
       154:{2,4,7}:{(140,1),(141,1),(159,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(150,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(151,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(149,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(154,1),(166,1),(167,1)}
       160:{2,5}:{(149,1),(150,1)}
       161:{2,3,6}:{(150,1),(151,1),(153,1),(165,1),(167,1),(168,1)}
       162:{1,3,5}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,7}:{(154,1),(167,1)}
       164:{1,2,5}:{(155,1),(156,1),(160,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(161,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(160,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(163,1),(171,1)}
       168:{2,3,5}:{(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(162,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1972 :   0:{1,2,3,6,7}:{(2,1),(3,1),(46,1),(103,1),(265,1),(296,1),(366,1),(374,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(15,1),(45,1),(46,1),(194,1),(261,1),(270,1),(366,1),(379,1),(451,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(136,1),(212,1),(313,1),(413,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(28,1),(70,1),(244,1),(323,1),(419,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(64,1),(315,1),(424,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(16,1),(40,1),(46,1),(164,1),(259,1),(268,1),(374,1),(380,1),(457,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(13,1),(180,1),(451,1)}
         7:{1,2,4,5}:{(4,1),(15,1),(42,1),(451,1),(463,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(16,1),(97,1),(457,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(46,1),(270,1),(275,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(30,1),(59,1),(72,1),(122,1),(128,1),(136,1),(207,1),(214,1),(332,1),(337,1),(427,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(321,1),(425,1)}
        12:{1,2,4,5,6}:{(7,1),(25,1),(26,1),(27,1),(64,1),(65,1),(81,1),(139,1),(153,1),(215,1),(327,1),(335,1),(424,1)}
        13:{1,2,5,6}:{(6,1),(21,1),(27,1),(139,1),(313,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(27,1),(28,1),(67,1)}
        15:{1,3,5}:{(7,1),(9,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(28,1),(30,1),(323,1)}
        17:{2,3,4,6}:{(9,1),(29,1),(30,1),(31,1),(64,1),(72,1),(225,1),(230,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(109,1),(160,1),(191,1),(256,1),(286,1),(469,1)}
        19:{1,3,4,6,7}:{(10,1),(33,1),(35,1),(49,1),(85,1),(87,1),(106,1),(160,1),(181,1),(286,1),(290,1),(388,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(171,1),(180,1),(267,1),(387,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(36,1),(40,1),(46,1),(259,1),(272,1)}
        22:{1,4,5,7}:{(11,1),(37,1),(40,1),(457,1),(463,1)}
        23:{1,3,4,5}:{(15,1),(39,1),(42,1),(463,1),(467,1)}
        24:{1,2,5,6,7}:{(13,1),(38,1),(43,1),(180,1),(200,1),(300,1),(360,1),(373,1)}
        25:{1,2,4,5,7}:{(12,1),(43,1),(44,1),(95,1),(97,1),(115,1),(180,1),(198,1),(269,1),(373,1),(381,1),(457,1)}
        26:{1,3,5,6}:{(12,1),(15,1),(39,1),(44,1),(45,1),(46,1),(270,1),(385,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(40,1),(46,1),(100,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(16,1),(46,1),(47,1)}
        29:{2,3,5}:{(15,1),(17,1),(42,1),(48,1)}
        30:{2,3,4,7}:{(16,1),(17,1),(47,1),(49,1),(97,1),(279,1)}
        31:{1,3,4,6}:{(17,1),(48,1),(49,1),(50,1),(98,1),(106,1),(183,1),(187,1)}
        32:{1,3,4,5,6}:{(39,1),(51,1),(52,1),(99,1),(112,1),(175,1),(203,1),(281,1),(385,1),(403,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(53,1),(55,1),(75,1),(118,1),(146,1),(214,1),(241,1)}
        34:{1,2,3,5,7}:{(18,1),(53,1),(54,1),(55,1),(119,1),(308,1),(338,1),(487,1),(522,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(53,1),(56,1),(57,1),(231,1),(342,1)}
        36:{2,3,5,6}:{(20,1),(21,1),(56,1),(59,1),(72,1),(131,1),(139,1),(207,1),(217,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(57,1),(59,1),(60,1),(427,1),(431,1)}
        38:{1,3,5,6,7}:{(21,1),(24,1),(58,1),(62,1),(69,1),(135,1),(309,1),(321,1),(419,1)}
        39:{1,3,4,6}:{(23,1),(26,1),(63,1),(64,1),(424,1),(430,1)}
        40:{1,4,6}:{(21,1),(22,1),(59,1)}
        41:{1,3,4,5,7}:{(22,1),(23,1),(28,1),(60,1),(63,1),(66,1),(67,1),(135,1)}
        42:{2,4,5}:{(23,1),(29,1),(64,1),(68,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(62,1),(69,1),(136,1),(155,1),(248,1),(351,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(69,1),(70,1),(323,1),(426,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(64,1),(70,1),(71,1),(72,1),(139,1),(153,1),(225,1)}
        46:{1,3,6}:{(27,1),(28,1),(72,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(30,1),(67,1),(72,1),(73,1)}
        48:{1,3,5}:{(29,1),(31,1),(68,1),(74,1)}
        49:{1,3,4,7}:{(30,1),(31,1),(73,1),(75,1),(137,1),(233,1)}
        50:{1,2,4,6}:{(31,1),(74,1),(75,1),(76,1),(146,1),(148,1)}
        51:{1,3,4,5,7}:{(32,1),(63,1),(79,1),(80,1),(135,1),(152,1),(221,1),(253,1),(330,1),(356,1),(426,1)}
        52:{2,4,5,6}:{(32,1),(64,1),(77,1),(80,1),(81,1),(139,1),(153,1),(250,1),(441,1)}
        53:{1,2,5,7}:{(33,1),(35,1),(82,1),(267,1),(293,1)}
        54:{1,2,3,5,6}:{(34,1),(82,1),(84,1),(160,1),(162,1),(191,1),(258,1),(289,1),(293,1),(460,1),(507,1),(510,1)}
        55:{1,2,4,7}:{(34,1),(84,1),(85,1),(358,1),(388,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(82,1),(87,1),(106,1),(160,1),(184,1)}
        57:{1,4,5,7}:{(35,1),(37,1),(87,1),(388,1),(391,1)}
        58:{2,3,5,6,7}:{(36,1),(38,1),(86,1),(89,1),(103,1),(171,1),(180,1),(256,1),(267,1),(300,1),(382,1),(398,1)}
        59:{2,4,6}:{(36,1),(37,1),(40,1),(87,1),(92,1)}
        60:{3,4,5,7}:{(37,1),(92,1),(171,1),(464,1),(467,1)}
        61:{2,3,4,5}:{(42,1),(90,1),(94,1),(179,1),(303,1),(467,1)}
        62:{1,4,6,7}:{(38,1),(40,1),(89,1),(95,1),(457,1)}
        63:{1,3,4,7}:{(39,1),(44,1),(97,1),(457,1),(464,1)}
        64:{2,4,6}:{(39,1),(42,1),(45,1),(97,1),(98,1)}
        65:{1,4,5,6}:{(40,1),(91,1),(95,1),(99,1),(272,1)}
        66:{1,3,4,6}:{(40,1),(41,1),(46,1),(92,1),(99,1),(100,1)}
        67:{2,4,5,7}:{(41,1),(42,1),(47,1),(97,1),(100,1),(101,1),(180,1)}
        68:{1,4,5}:{(42,1),(48,1),(98,1)}
        69:{1,3,6,7}:{(43,1),(44,1),(46,1),(103,1),(398,1)}
        70:{2,3,5,7}:{(44,1),(45,1),(97,1),(103,1),(104,1),(180,1),(198,1),(279,1)}
        71:{1,3,5,6}:{(45,1),(48,1),(98,1),(104,1),(105,1),(106,1),(183,1),(184,1)}
        72:{2,3,6}:{(46,1),(47,1),(100,1),(106,1)}
        73:{1,3,5,7}:{(47,1),(48,1),(49,1),(101,1),(106,1),(107,1)}
        74:{1,2,5}:{(48,1),(50,1)}
        75:{1,2,4,7}:{(49,1),(50,1),(107,1),(109,1)}
        76:{1,2,3,6}:{(50,1),(108,1),(109,1),(183,1)}
        77:{2,3,5,6}:{(52,1),(90,1),(111,1),(112,1),(385,1)}
        78:{1,4,5,6,7}:{(95,1),(110,1),(113,1),(295,1),(299,1),(402,1)}
        79:{1,3,4,6,7}:{(51,1),(113,1),(114,1),(195,1),(197,1),(299,1),(398,1)}
        80:{2,4,5,7}:{(51,1),(52,1),(97,1),(111,1),(114,1),(115,1),(180,1),(198,1),(302,1),(400,1)}
        81:{1,4,5,6}:{(52,1),(98,1),(112,1),(115,1),(184,1),(298,1),(473,1)}
        82:{1,2,5,6}:{(53,1),(56,1),(118,1),(146,1),(217,1)}
        83:{1,2,4,5,7}:{(53,1),(55,1),(57,1),(118,1),(119,1),(120,1),(126,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(120,1),(121,1),(311,1),(341,1),(529,1)}
        85:{1,3,4,7}:{(55,1),(119,1),(121,1),(122,1),(522,1)}
        86:{1,3,5,6,7}:{(56,1),(58,1),(117,1),(123,1),(143,1),(205,1),(213,1),(231,1),(338,1)}
        87:{1,4,6}:{(56,1),(57,1),(59,1)}
        88:{1,3,4,5,7}:{(57,1),(60,1),(119,1),(125,1),(126,1),(209,1),(213,1),(307,1)}
        89:{2,4,6,7}:{(58,1),(59,1),(62,1),(123,1),(127,1),(128,1),(427,1)}
        90:{2,3,4,6}:{(61,1),(64,1),(77,1),(129,1),(130,1),(225,1),(250,1),(430,1)}
        91:{2,4,5,6}:{(59,1),(65,1),(124,1),(127,1),(131,1),(139,1),(217,1)}
        92:{3,4,6}:{(59,1),(60,1),(131,1)}
        93:{2,3,4,5,7}:{(60,1),(61,1),(67,1),(126,1),(129,1),(132,1),(133,1),(222,1),(229,1),(316,1),(354,1),(404,1),(427,1),(431,1),(495,1),(531,1)}
        94:{1,3,4,5}:{(61,1),(68,1),(130,1),(134,1),(142,1),(220,1),(350,1)}
        95:{1,4,5,7}:{(62,1),(65,1),(127,1),(135,1),(321,1)}
        96:{1,3,4,6,7}:{(62,1),(63,1),(66,1),(69,1),(128,1),(135,1),(136,1)}
        97:{2,4,7}:{(63,1),(64,1),(70,1),(137,1)}
        98:{1,4,6}:{(64,1),(68,1),(71,1),(137,1)}
        99:{1,3,5,6}:{(65,1),(66,1),(131,1),(135,1),(139,1)}
       100:{2,4,6}:{(66,1),(67,1),(72,1),(139,1),(140,1)}
       101:{1,4,5,7}:{(67,1),(68,1),(73,1),(137,1),(140,1),(231,1)}
       102:{1,2,4,5}:{(68,1),(74,1),(134,1),(138,1),(142,1),(148,1)}
       103:{2,3,6,7}:{(69,1),(70,1),(72,1),(136,1),(143,1),(248,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(137,1),(143,1),(144,1),(231,1),(233,1)}
       105:{1,2,5,6}:{(71,1),(74,1),(138,1),(144,1),(146,1),(153,1)}
       106:{1,3,6}:{(72,1),(73,1),(140,1),(146,1)}
       107:{1,2,5,7}:{(73,1),(74,1),(75,1),(146,1)}
       108:{1,2,3,5}:{(74,1),(76,1),(142,1),(148,1)}
       109:{1,2,3,7}:{(75,1),(76,1),(233,1)}
       110:{2,4,5,6,7}:{(78,1),(127,1),(149,1),(150,1),(154,1),(243,1),(246,1),(351,1),(440,1)}
       111:{2,3,5,7}:{(77,1),(80,1),(129,1),(151,1),(152,1),(426,1)}
       112:{1,3,5,6}:{(77,1),(81,1),(130,1),(152,1),(153,1)}
       113:{1,3,5,6,7}:{(78,1),(79,1),(135,1),(150,1),(154,1),(356,1)}
       114:{2,4,6,7}:{(79,1),(80,1),(151,1),(154,1),(155,1),(248,1)}
       115:{1,4,5,7}:{(80,1),(81,1),(137,1),(152,1),(155,1),(231,1),(349,1),(437,1)}
       116:{1,2,4,5,6}:{(81,1),(138,1),(153,1),(156,1),(157,1),(235,1),(240,1),(250,1),(335,1),(341,1),(344,1),(441,1),(442,1)}
       117:{1,2,5,6,7}:{(82,1),(86,1),(158,1),(188,1),(267,1),(285,1),(295,1),(300,1)}
       118:{1,2,4,6}:{(82,1),(83,1),(87,1),(160,1),(168,1)}
       119:{1,3,5,7}:{(83,1),(85,1),(160,1),(161,1),(162,1)}
       120:{1,2,4,5}:{(84,1),(162,1),(262,1),(293,1),(391,1)}
       121:{1,3,4,6}:{(84,1),(85,1),(160,1),(162,1),(163,1),(507,1),(511,1)}
       122:{2,3,4,7}:{(85,1),(161,1),(163,1),(164,1),(358,1),(503,1)}
       123:{1,4,6,7}:{(86,1),(87,1),(89,1),(165,1),(388,1)}
       124:{1,4,5,6}:{(87,1),(91,1),(165,1),(167,1),(184,1)}
       125:{1,3,4,6}:{(87,1),(88,1),(92,1),(160,1),(167,1),(168,1)}
       126:{2,4,5,7}:{(88,1),(161,1),(168,1),(169,1),(262,1),(267,1),(358,1)}
       127:{2,4,5,7}:{(89,1),(91,1),(95,1),(165,1),(171,1),(180,1),(267,1)}
       128:{3,4,6,7}:{(89,1),(92,1),(171,1),(398,1),(464,1)}
       129:{2,3,4,7}:{(90,1),(97,1),(111,1),(173,1),(279,1),(302,1),(464,1)}
       130:{1,3,4,6}:{(90,1),(94,1),(98,1),(112,1),(173,1),(174,1),(183,1),(270,1),(298,1)}
       131:{3,5,6}:{(91,1),(92,1),(171,1)}
       132:{2,3,4,6}:{(92,1),(93,1),(100,1),(168,1),(176,1),(177,1),(283,1),(386,1),(401,1),(518,1),(543,1)}
       133:{1,3,4,5,7}:{(93,1),(94,1),(101,1),(169,1),(173,1),(177,1),(178,1),(186,1),(274,1),(277,1),(368,1),(388,1),(391,1),(397,1),(443,1),(457,1),(463,1),(464,1),(467,1),(542,1)}
       134:{2,4,5}:{(94,1),(174,1),(179,1)}
       135:{1,3,5,7}:{(95,1),(96,1),(99,1),(171,1),(180,1)}
       136:{2,4,6,7}:{(96,1),(97,1),(100,1),(103,1),(180,1),(181,1)}
       137:{1,4,7}:{(97,1),(98,1),(104,1)}
       138:{1,2,4,6}:{(98,1),(102,1),(105,1),(174,1),(182,1),(183,1)}
       139:{2,5,6}:{(99,1),(100,1),(180,1),(184,1)}
       140:{1,4,6}:{(100,1),(101,1),(106,1),(184,1)}
       141:{1,2,4,5,7}:{(101,1),(102,1),(107,1),(178,1),(182,1),(185,1),(186,1),(192,1),(285,1),(293,1),(388,1),(391,1),(452,1),(502,1),(542,1),(550,1)}
       142:{1,3,5}:{(102,1),(179,1),(183,1),(187,1)}
       143:{1,3,6,7}:{(103,1),(104,1),(106,1),(181,1),(188,1)}
       144:{1,2,5,7}:{(104,1),(105,1),(182,1),(188,1),(198,1)}
       145:{1,2,3,5,6}:{(105,1),(108,1),(183,1),(189,1),(190,1),(191,1),(199,1),(288,1),(289,1),(293,1),(390,1),(392,1)}
       146:{1,2,6}:{(106,1),(107,1)}
       147:{1,2,3,5,7}:{(107,1),(108,1),(109,1),(186,1),(191,1),(192,1),(293,1),(510,1),(536,1),(550,1)}
       148:{1,2,4}:{(108,1),(187,1)}
       149:{1,4,5,6,7}:{(110,1),(165,1),(193,1),(200,1),(299,1),(472,1)}
       150:{3,5,6,7}:{(110,1),(171,1),(195,1),(398,1),(474,1)}
       151:{2,3,6,7}:{(111,1),(114,1),(197,1),(398,1)}
       152:{1,3,5,7}:{(111,1),(112,1),(115,1),(173,1),(197,1),(198,1)}
       153:{2,5,6}:{(112,1),(174,1),(198,1)}
       154:{2,5,6,7}:{(113,1),(114,1),(180,1),(200,1),(400,1)}
       155:{1,4,6,7}:{(114,1),(115,1),(197,1),(200,1)}
       156:{1,2,4,5,7}:{(115,1),(116,1),(182,1),(198,1),(201,1),(202,1),(285,1),(302,1),(381,1),(388,1),(400,1),(402,1)}
       157:{1,3,5,6}:{(116,1),(183,1),(199,1),(202,1),(203,1),(288,1),(385,1),(390,1)}
       158:{1,2,4,6,7}:{(117,1),(118,1),(123,1),(204,1),(205,1),(214,1),(346,1),(351,1),(434,1)}
       159:{1,2,4,5,6}:{(118,1),(120,1),(124,1),(204,1),(206,1),(217,1),(235,1),(311,1),(326,1),(335,1),(341,1),(422,1),(481,1)}
       160:{1,3,6}:{(118,1),(119,1),(207,1)}
       161:{2,3,5,7}:{(119,1),(122,1),(126,1),(207,1),(208,1),(210,1)}
       162:{1,3,5}:{(120,1),(121,1),(210,1)}
       163:{2,3,4,6}:{(121,1),(122,1),(207,1),(210,1),(211,1),(311,1),(482,1),(486,1)}
       164:{1,3,4,7}:{(122,1),(208,1),(211,1),(212,1),(405,1),(477,1)}
       165:{1,4,5,7}:{(123,1),(124,1),(127,1),(213,1),(231,1)}
       166:{1,3,4,6,7}:{(123,1),(125,1),(128,1),(205,1),(213,1),(214,1),(307,1)}
       167:{1,3,5,6}:{(124,1),(125,1),(131,1),(213,1),(217,1)}
       168:{2,4,6}:{(125,1),(126,1),(207,1),(217,1),(218,1)}
       169:{1,4,5,7}:{(126,1),(208,1),(218,1),(317,1),(321,1),(405,1)}
       170:{1,2,4,5}:{(134,1),(215,1),(220,1),(315,1),(350,1),(409,1)}
       171:{3,5,7}:{(127,1),(128,1),(131,1)}
       172:{2,3,4,6,7}:{(128,1),(129,1),(132,1),(136,1),(151,1),(214,1),(222,1),(223,1),(246,1),(332,1),(345,1),(353,1),(404,1),(427,1),(439,1),(498,1)}
       173:{1,3,4,7}:{(129,1),(130,1),(137,1),(152,1),(224,1),(233,1),(323,1),(349,1)}
       174:{2,4,6}:{(130,1),(134,1),(153,1),(224,1),(225,1)}
       175:{3,4,5,6}:{(131,1),(221,1),(226,1),(430,1),(501,1)}
       176:{2,3,5,6}:{(131,1),(132,1),(139,1),(217,1),(222,1),(226,1),(227,1),(441,1),(501,1),(535,1)}
       177:{1,3,4,6}:{(132,1),(133,1),(140,1),(218,1),(227,1),(228,1),(236,1),(328,1),(341,1),(424,1),(430,1),(438,1),(549,1)}
       178:{2,4,5,7}:{(133,1),(134,1),(224,1),(228,1),(229,1),(331,1),(414,1),(427,1),(431,1),(476,1)}
       179:{2,3,5}:{(134,1),(142,1),(220,1),(225,1),(230,1)}
       180:{2,5,7}:{(135,1),(136,1),(139,1),(231,1)}
       181:{1,4,6,7}:{(136,1),(137,1),(140,1),(143,1),(231,1)}
       182:{1,2,4,7}:{(137,1),(138,1),(144,1),(224,1),(233,1)}
       183:{1,3,6}:{(138,1),(142,1),(225,1),(233,1)}
       184:{1,5,6}:{(139,1),(140,1),(231,1)}
       185:{1,2,4,6}:{(140,1),(141,1),(146,1),(228,1),(235,1),(236,1),(341,1),(549,1),(552,1)}
       186:{1,3,5,7}:{(141,1),(142,1),(229,1),(233,1),(236,1),(237,1),(342,1),(485,1),(522,1)}
       187:{1,3,4}:{(142,1),(148,1),(230,1)}
       188:{1,2,6,7}:{(143,1),(144,1),(146,1),(248,1)}
       189:{1,2,3,5,7}:{(144,1),(145,1),(233,1),(238,1),(239,1),(249,1),(338,1),(340,1),(343,1)}
       190:{1,2,4,6}:{(145,1),(148,1),(234,1),(239,1),(240,1),(250,1),(341,1)}
       191:{1,2,3,6}:{(146,1),(147,1),(236,1),(241,1),(552,1)}
       192:{1,2,4,7}:{(147,1),(148,1),(237,1),(241,1),(529,1)}
       193:{1,3,5,6,7}:{(149,1),(150,1),(213,1),(242,1),(243,1),(499,1)}
       194:{1,2,5,6}:{(153,1),(215,1),(244,1),(245,1),(409,1),(480,1)}
       195:{3,4,6,7}:{(150,1),(221,1),(246,1)}
       196:{2,3,5,6,7}:{(150,1),(151,1),(154,1),(222,1),(243,1),(246,1),(247,1),(345,1)}
       197:{1,3,6,7}:{(151,1),(152,1),(155,1),(248,1)}
       198:{2,5,7}:{(152,1),(153,1),(224,1),(248,1)}
       199:{2,3,5,6}:{(153,1),(157,1),(225,1),(245,1),(249,1),(250,1),(334,1),(429,1),(441,1)}
       200:{1,5,6,7}:{(154,1),(155,1),(231,1),(437,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(248,1),(251,1),(252,1),(344,1),(351,1),(353,1),(355,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(233,1),(249,1),(252,1),(253,1),(426,1)}
       203:{1,3,4,6}:{(157,1),(250,1),(253,1),(254,1),(341,1),(430,1)}
       204:{1,2,4,5,7}:{(158,1),(159,1),(165,1),(255,1),(267,1),(285,1),(358,1),(372,1),(381,1),(388,1),(455,1),(502,1)}
       205:{1,3,6,7}:{(158,1),(160,1),(255,1),(256,1),(398,1)}
       206:{1,3,5,6}:{(159,1),(160,1),(162,1),(255,1),(257,1),(258,1),(385,1),(507,1)}
       207:{2,3,6}:{(160,1),(161,1),(168,1),(259,1)}
       208:{1,3,5,7}:{(161,1),(164,1),(169,1),(259,1),(260,1),(263,1)}
       209:{1,3,4,5}:{(162,1),(257,1),(262,1),(391,1),(467,1)}
       210:{2,3,5}:{(162,1),(163,1),(262,1),(263,1)}
       211:{1,3,4,6}:{(163,1),(164,1),(259,1),(263,1),(264,1),(364,1),(449,1),(454,1)}
       212:{1,2,4,7}:{(164,1),(260,1),(264,1),(265,1)}
       213:{1,3,5,7}:{(165,1),(166,1),(167,1),(171,1),(267,1)}
       214:{2,4,6,7}:{(166,1),(168,1),(256,1),(267,1),(268,1),(358,1)}
       215:{1,2,4,6}:{(170,1),(174,1),(194,1),(269,1),(270,1),(298,1)}
       216:{1,3,4,5,6}:{(167,1),(175,1),(257,1),(266,1),(271,1),(281,1),(377,1),(385,1),(462,1),(521,1)}
       217:{2,5,6}:{(167,1),(168,1),(267,1),(272,1)}
       218:{1,4,6}:{(168,1),(169,1),(259,1),(272,1)}
       219:{1,2,4,5,7}:{(169,1),(170,1),(178,1),(260,1),(269,1),(273,1),(274,1),(367,1),(369,1),(373,1),(397,1),(444,1),(447,1),(451,1),(457,1),(463,1)}
       220:{1,3,5}:{(170,1),(179,1),(270,1),(275,1)}
       221:{3,4,5,7}:{(171,1),(175,1),(195,1),(276,1),(464,1),(474,1)}
       222:{2,3,5,7}:{(171,1),(172,1),(176,1),(180,1),(267,1),(276,1),(277,1),(400,1),(474,1),(520,1)}
       223:{1,3,4,6,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(268,1),(277,1),(278,1),(286,1),(299,1),(374,1),(388,1),(393,1),(396,1),(398,1),(443,1),(457,1),(464,1),(519,1)}
       224:{2,4,7}:{(173,1),(174,1),(198,1),(279,1)}
       225:{2,3,6}:{(174,1),(179,1),(183,1),(270,1),(279,1)}
       226:{2,4,5,6}:{(175,1),(176,1),(276,1),(281,1),(386,1)}
       227:{1,3,5,6}:{(176,1),(177,1),(184,1),(272,1),(277,1),(281,1),(282,1),(385,1),(473,1),(544,1)}
       228:{2,4,6}:{(177,1),(178,1),(282,1),(283,1)}
       229:{2,3,5,7}:{(178,1),(179,1),(186,1),(274,1),(279,1),(283,1),(284,1),(387,1),(453,1),(503,1)}
       230:{2,3,4}:{(179,1),(187,1),(275,1)}
       231:{1,5,7}:{(180,1),(181,1),(184,1)}
       232:{1,2,4,6,7}:{(181,1),(182,1),(185,1),(188,1),(278,1),(285,1),(286,1),(388,1),(469,1),(502,1),(519,1)}
       233:{1,3,7}:{(182,1),(183,1),(279,1)}
       234:{1,3,4,6}:{(183,1),(187,1),(190,1),(280,1),(287,1),(288,1),(390,1)}
       235:{1,2,5,6}:{(184,1),(185,1),(282,1),(285,1),(289,1),(293,1),(544,1)}
       236:{1,3,6}:{(185,1),(186,1),(283,1)}
       237:{1,3,4,7}:{(186,1),(187,1),(192,1),(284,1),(290,1),(388,1),(511,1)}
       238:{1,2,3,6,7}:{(188,1),(189,1),(191,1),(286,1),(291,1),(301,1),(390,1),(536,1)}
       239:{1,2,4,7}:{(189,1),(190,1),(287,1),(302,1),(388,1)}
       240:{1,2,4,5}:{(190,1),(288,1),(293,1),(303,1),(391,1)}
       241:{1,2,4,6}:{(191,1),(192,1),(290,1),(293,1)}
       242:{1,3,4,6,7}:{(193,1),(195,1),(266,1),(294,1),(299,1),(393,1),(398,1)}
       243:{2,5,6,7}:{(193,1),(267,1),(294,1),(295,1),(520,1)}
       244:{1,2,5,7}:{(194,1),(198,1),(269,1),(296,1),(297,1)}
       245:{1,3,5,6}:{(194,1),(199,1),(270,1),(297,1),(298,1),(376,1),(459,1),(473,1)}
       246:{2,4,6,7}:{(195,1),(196,1),(276,1),(299,1)}
       247:{1,3,5,6,7}:{(196,1),(197,1),(200,1),(277,1),(295,1),(299,1),(300,1),(393,1),(398,1)}
       248:{2,6,7}:{(197,1),(198,1)}
       249:{2,3,5,7}:{(198,1),(199,1),(202,1),(279,1),(297,1),(301,1),(302,1),(400,1)}
       250:{2,4,6}:{(199,1),(203,1),(298,1),(302,1),(303,1)}
       251:{1,2,5,6,7}:{(200,1),(201,1),(285,1),(300,1),(304,1),(392,1),(400,1),(469,1)}
       252:{1,3,6,7}:{(201,1),(202,1),(301,1),(390,1),(398,1)}
       253:{1,3,4,7}:{(202,1),(203,1),(302,1),(388,1),(464,1)}
       254:{1,3,4,5}:{(203,1),(288,1),(303,1),(391,1),(467,1)}
       255:{1,3,5,7}:{(204,1),(205,1),(206,1),(307,1),(308,1),(426,1),(522,1)}
       256:{2,3,6,7}:{(205,1),(207,1),(214,1),(308,1),(309,1),(434,1)}
       257:{1,3,4,6}:{(206,1),(209,1),(307,1),(311,1),(341,1),(430,1)}
       258:{2,3,5,6}:{(206,1),(207,1),(210,1),(217,1),(308,1),(311,1),(312,1),(422,1),(482,1)}
       259:{1,3,6}:{(207,1),(208,1),(218,1),(313,1)}
       260:{1,2,5,7}:{(208,1),(212,1),(313,1),(318,1)}
       261:{1,2,3,5}:{(220,1),(310,1),(315,1),(409,1)}
       262:{2,4,5}:{(209,1),(210,1),(311,1),(317,1)}
       263:{1,3,5}:{(210,1),(211,1),(317,1),(318,1)}
       264:{1,2,4,6}:{(211,1),(212,1),(313,1),(318,1),(319,1),(416,1)}
       265:{1,2,3,7}:{(212,1),(319,1),(477,1)}
       266:{1,3,4,5,7}:{(213,1),(216,1),(221,1),(242,1),(307,1),(320,1),(330,1),(417,1),(426,1),(489,1),(499,1)}
       267:{2,5,7}:{(213,1),(214,1),(217,1),(321,1)}
       268:{1,4,6,7}:{(214,1),(218,1),(309,1),(321,1),(405,1)}
       269:{1,2,4,7}:{(215,1),(224,1),(244,1),(323,1),(349,1)}
       270:{1,3,6}:{(215,1),(220,1),(225,1),(323,1)}
       271:{2,4,5,6}:{(216,1),(217,1),(311,1),(320,1),(325,1),(326,1),(422,1),(493,1),(535,1)}
       272:{1,5,6}:{(217,1),(218,1),(321,1)}
       273:{1,2,4,6}:{(218,1),(219,1),(228,1),(313,1),(327,1),(328,1),(424,1),(438,1),(480,1)}
       274:{1,3,5,7}:{(219,1),(220,1),(229,1),(323,1),(328,1),(329,1),(415,1),(425,1),(477,1)}
       275:{1,3,4}:{(220,1),(230,1),(315,1)}
       276:{2,4,5,7}:{(221,1),(222,1),(226,1),(246,1),(330,1),(427,1)}
       277:{1,3,5,7}:{(222,1),(223,1),(227,1),(231,1),(321,1),(330,1),(331,1),(426,1),(437,1),(534,1)}
       278:{2,4,6,7}:{(223,1),(224,1),(228,1),(248,1),(331,1),(332,1),(427,1),(434,1),(476,1)}
       279:{2,3,7}:{(224,1),(225,1),(233,1),(323,1)}
       280:{2,3,4,6}:{(225,1),(230,1),(234,1),(250,1),(324,1),(333,1),(334,1),(429,1)}
       281:{1,4,5,6}:{(226,1),(227,1),(330,1),(335,1),(341,1),(424,1)}
       282:{2,5,6}:{(227,1),(228,1),(331,1)}
       283:{2,3,6}:{(228,1),(229,1),(236,1),(328,1)}
       284:{2,3,4,7}:{(229,1),(230,1),(237,1),(329,1),(337,1),(427,1),(486,1)}
       285:{1,2,5,7}:{(231,1),(232,1),(235,1),(331,1),(338,1),(534,1)}
       286:{1,3,6,7}:{(232,1),(233,1),(236,1),(332,1),(338,1),(522,1)}
       287:{1,3,4,7}:{(233,1),(234,1),(239,1),(333,1),(340,1)}
       288:{1,3,5}:{(234,1),(240,1),(334,1)}
       289:{1,3,5,6}:{(235,1),(236,1),(336,1),(338,1),(341,1),(342,1)}
       290:{1,3,4,6}:{(236,1),(237,1),(241,1),(337,1),(341,1),(342,1)}
       291:{1,2,4,6,7}:{(238,1),(239,1),(241,1),(339,1),(343,1),(344,1),(353,1),(545,1),(552,1)}
       292:{1,2,4,5,7}:{(239,1),(240,1),(340,1),(343,1),(344,1),(354,1),(432,1)}
       293:{1,2,5}:{(241,1),(342,1)}
       294:{2,4,6,7}:{(242,1),(243,1),(320,1),(345,1),(346,1),(434,1)}
       295:{1,5,6,7}:{(243,1),(321,1),(346,1),(534,1)}
       296:{1,2,6,7}:{(244,1),(248,1),(348,1),(480,1)}
       297:{1,3,5,7}:{(244,1),(245,1),(249,1),(323,1),(348,1),(349,1),(437,1)}
       298:{1,4,6}:{(245,1),(250,1),(349,1),(350,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(330,1),(351,1)}
       300:{2,5,6,7}:{(247,1),(248,1),(331,1),(351,1),(434,1)}
       301:{2,3,6,7}:{(248,1),(249,1),(252,1),(348,1),(353,1),(429,1)}
       302:{2,4,7}:{(249,1),(250,1),(253,1),(349,1)}
       303:{2,4,5}:{(250,1),(254,1),(334,1),(350,1)}
       304:{1,3,5,6,7}:{(251,1),(252,1),(338,1),(352,1),(355,1),(356,1),(433,1),(497,1),(534,1)}
       305:{1,3,4,6,7}:{(252,1),(253,1),(353,1),(355,1),(356,1),(357,1),(439,1)}
       306:{1,3,4,5,7}:{(253,1),(254,1),(340,1),(354,1),(356,1),(357,1),(432,1),(495,1)}
       307:{1,3,4,7}:{(255,1),(257,1),(358,1),(388,1),(464,1)}
       308:{2,3,5,7}:{(255,1),(256,1),(258,1),(267,1),(358,1),(359,1),(455,1),(503,1)}
       309:{1,3,6,7}:{(256,1),(259,1),(268,1),(359,1),(360,1)}
       310:{1,2,3,6}:{(261,1),(270,1),(361,1),(362,1)}
       311:{2,4,6}:{(257,1),(258,1),(262,1),(358,1),(364,1)}
       312:{1,3,5,6}:{(258,1),(259,1),(263,1),(272,1),(359,1),(364,1),(365,1),(449,1)}
       313:{1,2,6}:{(259,1),(260,1)}
       314:{1,2,3,5,7}:{(260,1),(261,1),(265,1),(274,1),(361,1),(366,1),(367,1),(370,1),(447,1),(451,1)}
       315:{1,2,4}:{(261,1),(275,1)}
       316:{2,3,4,5}:{(262,1),(363,1),(368,1),(453,1),(467,1),(517,1)}
       317:{1,4,5}:{(262,1),(263,1),(364,1)}
       318:{1,2,5}:{(263,1),(264,1)}
       319:{1,2,3,6}:{(264,1),(265,1),(370,1),(449,1)}
       320:{2,4,5,7}:{(266,1),(267,1),(271,1),(294,1),(358,1),(371,1),(372,1),(455,1),(513,1),(520,1)}
       321:{1,5,7}:{(267,1),(268,1),(272,1)}
       322:{1,2,4,6,7}:{(268,1),(269,1),(273,1),(278,1),(296,1),(360,1),(373,1),(374,1),(396,1),(444,1),(457,1)}
       323:{1,3,7}:{(269,1),(270,1),(279,1)}
       324:{1,3,4,6}:{(270,1),(275,1),(280,1),(298,1),(362,1),(375,1),(376,1),(459,1)}
       325:{2,3,5,6}:{(271,1),(363,1),(371,1),(377,1),(385,1)}
       326:{1,4,5,6}:{(271,1),(272,1),(364,1),(372,1),(377,1),(516,1),(544,1)}
       327:{1,2,5,6}:{(272,1),(273,1),(282,1),(373,1),(379,1),(451,1),(473,1)}
       328:{1,3,6}:{(273,1),(274,1),(283,1)}
       329:{1,3,4,7}:{(274,1),(275,1),(284,1),(367,1),(380,1),(454,1),(457,1)}
       330:{1,4,5,7}:{(276,1),(277,1),(281,1),(299,1),(381,1),(388,1),(457,1)}
       331:{2,5,7}:{(277,1),(278,1),(282,1)}
       332:{2,3,6,7}:{(278,1),(279,1),(283,1),(286,1),(374,1),(382,1),(398,1),(503,1)}
       333:{2,3,4,7}:{(279,1),(280,1),(287,1),(302,1),(375,1),(384,1)}
       334:{2,3,5}:{(280,1),(288,1),(303,1),(376,1)}
       335:{2,4,5,6}:{(281,1),(282,1),(381,1),(385,1),(386,1)}
       336:{2,3,5,6}:{(282,1),(283,1),(289,1),(379,1),(382,1),(385,1),(386,1),(387,1)}
       337:{2,3,4,6}:{(283,1),(284,1),(290,1),(380,1),(386,1),(387,1)}
       338:{1,3,5,7}:{(285,1),(286,1),(289,1),(382,1),(388,1)}
       339:{1,3,4,6,7}:{(286,1),(287,1),(290,1),(291,1),(383,1),(388,1),(389,1),(390,1),(468,1),(519,1),(537,1),(551,1)}
       340:{1,3,5,7}:{(287,1),(288,1),(292,1),(384,1),(390,1)}
       341:{1,4,6}:{(289,1),(386,1),(388,1),(391,1)}
       342:{1,3,5}:{(290,1),(293,1),(387,1),(391,1)}
       343:{1,2,5,7}:{(291,1),(293,1),(389,1),(392,1),(400,1)}
       344:{1,2,4,6}:{(292,1),(390,1),(392,1),(401,1),(468,1)}
       345:{2,3,6,7}:{(294,1),(371,1),(393,1),(398,1)}
       346:{1,4,6,7}:{(294,1),(295,1),(372,1),(393,1)}
       347:{1,2,5,6,7}:{(295,1),(296,1),(300,1),(373,1),(394,1),(395,1),(506,1),(520,1)}
       348:{1,3,6,7}:{(296,1),(297,1),(301,1),(396,1),(459,1)}
       349:{1,4,7}:{(297,1),(298,1),(302,1)}
       350:{1,4,5}:{(298,1),(303,1),(376,1)}
       351:{2,4,6,7}:{(299,1),(300,1),(381,1),(398,1)}
       352:{2,3,5,6,7}:{(300,1),(301,1),(304,1),(382,1),(395,1),(398,1),(399,1),(400,1),(466,1),(470,1),(474,1),(520,1)}
       353:{2,4,6,7}:{(301,1),(302,1),(305,1),(396,1),(400,1),(401,1)}
       354:{2,4,5,7}:{(302,1),(303,1),(306,1),(384,1),(397,1),(400,1),(401,1)}
       355:{1,4,6,7}:{(304,1),(388,1),(399,1),(402,1),(468,1)}
       356:{1,3,5,7}:{(305,1),(400,1),(402,1),(403,1),(474,1)}
       357:{1,3,4,6}:{(306,1),(390,1),(401,1),(403,1),(468,1),(518,1)}
       358:{2,4,7}:{(307,1),(308,1),(311,1),(405,1)}
       359:{1,3,5,7}:{(308,1),(309,1),(312,1),(321,1),(405,1),(406,1),(477,1)}
       360:{1,2,6,7}:{(309,1),(313,1),(406,1),(434,1)}
       361:{1,2,3,7}:{(310,1),(323,1),(408,1)}
       362:{1,2,4,6}:{(310,1),(315,1),(324,1),(408,1),(409,1),(480,1)}
       363:{2,3,4,6}:{(311,1),(316,1),(325,1),(404,1),(410,1),(430,1),(482,1),(493,1)}
       364:{1,4,6}:{(311,1),(312,1),(317,1),(405,1)}
       365:{1,2,5,6}:{(312,1),(313,1),(318,1),(406,1),(411,1),(422,1)}
       366:{1,2,3,6}:{(313,1),(314,1),(328,1),(413,1),(480,1)}
       367:{1,2,4,7}:{(314,1),(315,1),(329,1),(413,1),(416,1)}
       368:{1,3,4,5}:{(316,1),(317,1),(410,1),(414,1),(415,1),(485,1),(533,1)}
       369:{1,2,4,5}:{(317,1),(318,1),(411,1),(414,1),(415,1),(416,1)}
       370:{1,2,3,5}:{(318,1),(319,1),(415,1),(416,1)}
       371:{2,3,5,7}:{(320,1),(325,1),(345,1),(404,1),(417,1),(426,1)}
       372:{1,4,5,7}:{(320,1),(321,1),(326,1),(346,1),(405,1),(417,1),(530,1),(534,1)}
       373:{1,2,5,7}:{(321,1),(322,1),(327,1),(331,1),(419,1),(437,1)}
       374:{1,3,6,7}:{(322,1),(323,1),(328,1),(332,1),(419,1),(477,1)}
       375:{1,3,4,7}:{(323,1),(324,1),(333,1),(349,1),(408,1),(421,1)}
       376:{1,3,5}:{(324,1),(334,1),(350,1),(409,1)}
       377:{1,3,5,6}:{(325,1),(326,1),(410,1),(417,1),(422,1)}
       378:{1,2,4,5,6}:{(326,1),(327,1),(335,1),(411,1),(418,1),(422,1),(423,1),(424,1),(484,1),(493,1),(500,1),(525,1),(535,1)}
       379:{1,3,5,6}:{(327,1),(328,1),(336,1),(419,1),(424,1),(425,1)}
       380:{1,3,4,6}:{(328,1),(329,1),(337,1),(413,1),(424,1),(425,1)}
       381:{2,4,5,7}:{(330,1),(331,1),(335,1),(351,1),(426,1),(427,1)}
       382:{2,3,5,7}:{(331,1),(332,1),(336,1),(338,1),(419,1),(426,1),(427,1)}
       383:{2,3,4,6,7}:{(332,1),(333,1),(337,1),(339,1),(353,1),(420,1),(427,1),(428,1),(429,1),(439,1),(496,1),(498,1),(523,1),(547,1)}
       384:{2,3,5,7}:{(333,1),(334,1),(340,1),(354,1),(421,1),(429,1)}
       385:{3,5,6}:{(335,1),(426,1),(430,1)}
       386:{2,4,6}:{(336,1),(341,1),(424,1),(427,1),(430,1),(431,1)}
       387:{2,3,5}:{(337,1),(342,1),(425,1),(431,1)}
       388:{1,4,7}:{(338,1),(341,1),(427,1)}
       389:{1,3,5,7}:{(339,1),(342,1),(343,1),(428,1),(432,1),(433,1),(534,1)}
       390:{1,3,6}:{(340,1),(344,1),(429,1)}
       391:{1,4,5}:{(341,1),(342,1),(431,1)}
       392:{1,2,5,6}:{(343,1),(344,1),(433,1),(441,1),(552,1)}
       393:{1,3,6,7}:{(345,1),(346,1),(417,1),(434,1)}
       394:{1,2,4,6,7}:{(346,1),(347,1),(351,1),(418,1),(434,1),(435,1),(436,1),(498,1),(525,1)}
       395:{1,3,5,6,7}:{(347,1),(348,1),(352,1),(419,1),(435,1),(436,1),(437,1),(491,1),(499,1)}
       396:{1,4,6,7}:{(348,1),(349,1),(353,1),(437,1),(438,1)}
       397:{1,4,5,7}:{(349,1),(350,1),(354,1),(421,1),(437,1),(438,1)}
       398:{3,6,7}:{(351,1),(426,1)}
       399:{2,4,6,7}:{(352,1),(355,1),(427,1),(436,1),(439,1),(440,1),(496,1)}
       400:{2,5,7}:{(353,1),(356,1),(437,1),(441,1)}
       401:{2,4,6}:{(354,1),(357,1),(429,1),(438,1),(441,1)}
       402:{1,4,5,7}:{(355,1),(356,1),(440,1),(442,1),(534,1)}
       403:{1,3,5,6}:{(356,1),(357,1),(441,1),(442,1),(501,1)}
       404:{2,3,4,7}:{(358,1),(363,1),(371,1),(443,1),(464,1),(503,1),(513,1)}
       405:{1,4,7}:{(358,1),(359,1),(364,1)}
       406:{1,2,5,7}:{(359,1),(360,1),(365,1),(444,1),(455,1)}
       407:{1,2,3,6,7}:{(360,1),(361,1),(366,1),(374,1),(445,1),(446,1),(470,1),(539,1)}
       408:{1,2,4,7}:{(361,1),(362,1),(375,1),(447,1)}
       409:{1,2,5}:{(362,1),(376,1)}
       410:{1,3,4,6}:{(363,1),(364,1),(368,1),(377,1),(443,1),(448,1),(449,1),(507,1),(516,1)}
       411:{1,2,4,6}:{(364,1),(365,1),(369,1),(444,1),(448,1),(449,1)}
       412:{1,2,3,5,6}:{(365,1),(366,1),(370,1),(379,1),(445,1),(449,1),(450,1),(451,1),(461,1),(506,1),(509,1),(539,1)}
       413:{1,2,4,6}:{(366,1),(367,1),(380,1),(451,1)}
       414:{2,4,5}:{(368,1),(448,1),(453,1)}
       415:{1,3,5}:{(369,1),(449,1),(453,1),(454,1)}
       416:{1,2,4}:{(370,1),(454,1)}
       417:{1,3,5,7}:{(371,1),(372,1),(377,1),(393,1),(443,1),(455,1)}
       418:{1,2,4,5,7}:{(372,1),(373,1),(378,1),(381,1),(394,1),(444,1),(455,1),(456,1),(457,1),(472,1),(513,1),(520,1)}
       419:{1,3,5,7}:{(373,1),(374,1),(379,1),(382,1),(457,1)}
       420:{1,3,4,6,7}:{(374,1),(375,1),(380,1),(383,1),(396,1),(446,1),(457,1),(458,1),(459,1),(504,1),(515,1),(539,1)}
       421:{1,3,5,7}:{(375,1),(376,1),(384,1),(397,1),(447,1),(459,1)}
       422:{2,5,6}:{(377,1),(448,1),(455,1)}
       423:{1,3,5,6}:{(378,1),(385,1),(449,1),(456,1),(461,1),(462,1),(509,1),(539,1)}
       424:{1,4,6}:{(379,1),(386,1),(457,1),(463,1)}
       425:{1,3,5}:{(380,1),(387,1),(451,1),(463,1)}
       426:{3,5,7}:{(381,1),(385,1),(398,1),(464,1)}
       427:{2,4,7}:{(382,1),(386,1),(388,1),(457,1),(464,1)}
       428:{2,3,5,7}:{(383,1),(387,1),(389,1),(400,1),(458,1),(465,1),(466,1),(474,1),(520,1)}
       429:{2,3,6}:{(384,1),(390,1),(401,1),(459,1)}
       430:{3,4,6}:{(385,1),(386,1),(464,1),(467,1)}
       431:{2,4,5}:{(386,1),(387,1),(391,1),(463,1),(467,1)}
       432:{1,4,5,7}:{(388,1),(389,1),(391,1),(465,1),(468,1)}
       433:{1,3,5,6}:{(389,1),(390,1),(392,1),(466,1),(468,1),(544,1),(551,1)}
       434:{2,6,7}:{(393,1),(455,1)}
       435:{1,3,6,7}:{(394,1),(398,1),(456,1),(470,1),(539,1)}
       436:{1,4,6,7}:{(395,1),(399,1),(457,1),(472,1),(515,1)}
       437:{1,5,7}:{(396,1),(400,1),(473,1)}
       438:{1,4,6}:{(397,1),(401,1),(459,1),(473,1)}
       439:{3,4,6,7}:{(398,1),(399,1),(464,1),(474,1),(518,1)}
       440:{2,4,5,7}:{(399,1),(400,1),(402,1),(472,1),(474,1),(475,1),(520,1)}
       441:{2,5,6}:{(400,1),(401,1),(403,1),(473,1)}
       442:{1,4,5,6}:{(402,1),(403,1),(468,1),(475,1),(544,1)}
       443:{1,3,4,7}:{(404,1),(405,1),(410,1),(417,1),(476,1),(477,1),(522,1),(530,1)}
       444:{1,2,4,7}:{(405,1),(406,1),(411,1),(476,1),(477,1)}
       445:{1,2,3,5,7}:{(406,1),(407,1),(412,1),(419,1),(477,1),(478,1),(479,1),(488,1),(524,1)}
       446:{1,2,4,6,7}:{(407,1),(408,1),(413,1),(420,1),(478,1),(479,1),(480,1),(498,1),(525,1)}
       447:{1,2,5,7}:{(408,1),(409,1),(421,1),(480,1)}
       448:{2,4,6}:{(410,1),(414,1),(422,1),(476,1),(482,1)}
       449:{1,3,6}:{(411,1),(415,1),(477,1),(482,1)}
       450:{1,2,4,6}:{(412,1),(416,1),(424,1),(478,1),(483,1),(484,1),(493,1)}
       451:{1,2,5}:{(413,1),(425,1)}
       452:{1,2,4,5}:{(414,1),(481,1),(485,1),(529,1),(533,1),(548,1)}
       453:{2,3,5}:{(414,1),(415,1),(482,1),(485,1),(486,1)}
       454:{1,3,4}:{(415,1),(416,1),(486,1)}
       455:{2,5,7}:{(417,1),(422,1),(434,1),(476,1)}
       456:{1,3,5,7}:{(418,1),(423,1),(426,1),(435,1),(477,1),(488,1),(489,1)}
       457:{1,4,7}:{(419,1),(424,1),(427,1)}
       458:{1,3,5,7}:{(420,1),(425,1),(428,1),(437,1),(479,1),(490,1),(491,1)}
       459:{1,3,6}:{(421,1),(429,1),(438,1),(480,1)}
       460:{1,2,5,6}:{(422,1),(481,1),(487,1),(492,1),(548,1),(552,1)}
       461:{2,3,5,6}:{(422,1),(423,1),(482,1),(488,1),(492,1),(493,1),(528,1),(535,1),(547,1)}
       462:{1,3,4,6}:{(423,1),(424,1),(430,1),(489,1),(493,1),(494,1)}
       463:{1,4,5}:{(424,1),(425,1),(431,1)}
       464:{3,4,7}:{(426,1),(427,1),(430,1)}
       465:{2,4,5,7}:{(427,1),(428,1),(431,1),(432,1),(490,1),(495,1),(496,1)}
       466:{2,3,5,6}:{(428,1),(429,1),(433,1),(441,1),(491,1),(496,1),(501,1),(535,1),(547,1)}
       467:{3,4,5}:{(430,1),(431,1)}
       468:{1,4,6}:{(432,1),(433,1),(496,1)}
       469:{1,2,6,7}:{(434,1),(487,1),(497,1),(552,1)}
       470:{2,3,6,7}:{(434,1),(435,1),(488,1),(497,1),(498,1),(547,1)}
       471:{1,3,4,6,7}:{(435,1),(436,1),(439,1),(489,1),(498,1),(499,1),(532,1)}
       472:{1,4,5,7}:{(436,1),(437,1),(440,1),(499,1),(500,1)}
       473:{1,5,6}:{(437,1),(438,1),(441,1)}
       474:{3,5,7}:{(439,1),(440,1),(501,1)}
       475:{2,4,5,6}:{(440,1),(441,1),(442,1),(496,1),(500,1),(501,1),(535,1)}
       476:{2,4,7}:{(443,1),(448,1),(455,1),(503,1)}
       477:{1,3,7}:{(444,1),(449,1),(503,1)}
       478:{1,2,4,7}:{(445,1),(450,1),(457,1),(504,1),(513,1)}
       479:{1,2,5,7}:{(446,1),(451,1),(458,1),(506,1),(520,1)}
       480:{1,2,6}:{(447,1),(459,1)}
       481:{1,2,4,6}:{(448,1),(452,1),(460,1),(502,1),(507,1),(516,1)}
       482:{2,3,6}:{(448,1),(449,1),(453,1),(503,1),(507,1)}
       483:{1,3,4,6}:{(449,1),(450,1),(454,1),(504,1),(508,1),(509,1),(539,1)}
       484:{1,2,4,5}:{(450,1),(451,1),(463,1),(509,1),(517,1)}
       485:{1,3,5}:{(452,1),(453,1),(507,1),(511,1)}
       486:{2,3,4}:{(453,1),(454,1),(511,1)}
       487:{1,2,5,7}:{(455,1),(460,1),(469,1),(502,1),(512,1)}
       488:{2,3,5,7}:{(455,1),(456,1),(461,1),(470,1),(503,1),(512,1),(513,1),(520,1)}
       489:{1,3,4,7}:{(456,1),(457,1),(462,1),(464,1),(513,1)}
       490:{1,4,5,7}:{(457,1),(458,1),(463,1),(465,1),(515,1)}
       491:{1,3,5,6}:{(458,1),(459,1),(466,1),(473,1),(506,1),(515,1),(539,1)}
       492:{1,3,5,6}:{(460,1),(461,1),(507,1),(512,1),(516,1),(541,1),(544,1),(551,1)}
       493:{2,4,6}:{(461,1),(462,1),(513,1),(516,1),(517,1)}
       494:{1,3,4,5}:{(462,1),(463,1),(467,1),(509,1),(517,1)}
       495:{3,4,5,7}:{(464,1),(465,1),(467,1),(474,1),(518,1)}
       496:{2,4,6}:{(465,1),(466,1),(468,1),(515,1),(518,1)}
       497:{1,3,6,7}:{(469,1),(470,1),(512,1),(519,1),(551,1)}
       498:{2,4,6,7}:{(470,1),(471,1),(513,1),(519,1),(520,1),(543,1)}
       499:{1,3,5,7}:{(471,1),(472,1),(474,1),(520,1),(521,1)}
       500:{1,4,5,6}:{(472,1),(473,1),(475,1),(515,1),(521,1)}
       501:{3,5,6}:{(474,1),(475,1),(518,1)}
       502:{1,2,4,7}:{(476,1),(481,1),(487,1),(522,1),(530,1)}
       503:{2,3,7}:{(476,1),(477,1),(482,1),(522,1)}
       504:{1,3,4,7}:{(477,1),(478,1),(483,1),(523,1),(524,1)}
       505:{1,2,4,5,7}:{(478,1),(479,1),(484,1),(490,1),(524,1),(525,1),(531,1)}
       506:{1,2,5,6}:{(479,1),(480,1),(491,1),(525,1),(535,1)}
       507:{1,3,6}:{(481,1),(482,1),(485,1),(522,1)}
       508:{2,3,4,6}:{(482,1),(483,1),(486,1),(493,1),(523,1),(527,1),(528,1),(547,1)}
       509:{1,3,5}:{(483,1),(484,1),(528,1)}
       510:{1,2,3,5}:{(485,1),(526,1),(529,1),(548,1)}
       511:{1,3,4}:{(485,1),(486,1),(529,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(492,1),(497,1),(522,1),(530,1),(534,1)}
       513:{2,4,7}:{(488,1),(489,1),(493,1),(530,1)}
       514:{1,3,4,5,7}:{(489,1),(490,1),(494,1),(495,1),(499,1),(524,1),(531,1),(532,1)}
       515:{1,4,6}:{(490,1),(491,1),(496,1)}
       516:{1,4,6}:{(492,1),(493,1),(530,1),(533,1)}
       517:{2,4,5}:{(493,1),(494,1),(528,1),(533,1)}
       518:{3,4,6}:{(495,1),(496,1),(501,1)}
       519:{1,4,6,7}:{(497,1),(498,1),(530,1),(534,1),(549,1)}
       520:{2,5,7}:{(498,1),(499,1),(534,1),(535,1)}
       521:{1,3,5,6}:{(499,1),(500,1),(501,1),(532,1),(535,1)}
       522:{1,3,7}:{(502,1),(503,1),(507,1)}
       523:{2,3,4,7}:{(503,1),(504,1),(508,1),(513,1),(537,1),(538,1)}
       524:{1,3,5,7}:{(504,1),(505,1),(509,1),(538,1),(539,1)}
       525:{1,2,4,6}:{(505,1),(506,1),(515,1),(539,1),(543,1)}
       526:{1,2,3,6}:{(507,1),(510,1),(536,1),(540,1)}
       527:{1,3,4,6}:{(507,1),(508,1),(511,1),(516,1),(537,1),(540,1),(541,1),(551,1)}
       528:{2,3,5}:{(508,1),(509,1),(517,1),(541,1)}
       529:{1,2,4}:{(510,1),(511,1)}
       530:{1,4,7}:{(512,1),(513,1),(516,1)}
       531:{2,4,5,7}:{(513,1),(514,1),(517,1),(520,1),(538,1),(542,1),(543,1)}
       532:{1,3,4,6}:{(514,1),(515,1),(518,1),(521,1),(539,1),(543,1)}
       533:{1,4,5}:{(516,1),(517,1),(541,1)}
       534:{1,5,7}:{(519,1),(520,1),(544,1)}
       535:{2,5,6}:{(520,1),(521,1),(543,1),(544,1)}
       536:{1,2,3,7}:{(522,1),(526,1),(545,1)}
       537:{1,3,4,7}:{(522,1),(523,1),(527,1),(530,1),(545,1),(546,1)}
       538:{2,3,5,7}:{(523,1),(524,1),(528,1),(531,1),(546,1),(547,1)}
       539:{1,3,6}:{(524,1),(525,1),(547,1)}
       540:{1,2,4,6}:{(526,1),(527,1),(529,1),(545,1),(548,1),(552,1)}
       541:{1,3,5}:{(527,1),(528,1),(533,1),(548,1)}
       542:{1,4,5,7}:{(530,1),(531,1),(533,1),(534,1),(546,1),(549,1)}
       543:{2,4,6}:{(531,1),(532,1),(535,1),(547,1),(549,1)}
       544:{1,5,6}:{(534,1),(535,1),(549,1)}
       545:{1,2,4,7}:{(536,1),(537,1),(540,1),(550,1)}
       546:{1,3,5,7}:{(537,1),(538,1),(541,1),(542,1),(550,1),(551,1)}
       547:{2,3,6}:{(538,1),(539,1),(543,1),(551,1)}
       548:{1,2,5}:{(540,1),(541,1)}
       549:{1,4,6}:{(542,1),(543,1),(544,1),(551,1)}
       550:{1,2,5,7}:{(545,1),(546,1),(548,1),(552,1)}
       551:{1,3,6}:{(546,1),(547,1),(549,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

1973 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(34,1),(38,1),(41,1),(76,1),(168,1),(200,1),(278,1),(283,1),(384,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(115,1),(429,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(60,1),(258,1),(333,1),(428,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(38,1),(165,1),(278,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(27,1),(283,1),(385,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(86,1),(466,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(38,1),(97,1),(168,1),(316,1),(383,1),(409,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(50,1),(61,1),(117,1),(226,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(333,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(50,1),(73,1),(132,1),(134,1),(152,1),(222,1),(337,1),(344,1),(429,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(51,1),(65,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(131,1),(224,1),(360,1),(451,1)}
        13:{1,3,4,5}:{(8,1),(27,1),(28,1),(385,1),(392,1)}
        14:{1,2,3,6}:{(26,1),(30,1),(31,1),(177,1)}
        15:{1,3,4,6}:{(7,1),(30,1),(32,1),(33,1),(80,1),(84,1),(95,1),(177,1)}
        16:{2,3,5}:{(7,1),(8,1),(27,1),(32,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(33,1),(35,1),(86,1),(285,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(28,1),(34,1),(37,1),(38,1),(278,1),(394,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(35,1),(38,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(36,1),(38,1),(39,1),(101,1),(280,1),(307,1),(383,1),(407,1),(410,1),(466,1)}
        21:{1,2,4,5,7}:{(10,1),(37,1),(40,1),(86,1),(112,1),(186,1),(188,1),(208,1),(281,1),(386,1),(393,1),(466,1)}
        22:{1,2,4,6}:{(11,1),(38,1),(41,1),(87,1),(101,1)}
        23:{1,2,5,7}:{(12,1),(39,1),(41,1),(186,1),(283,1)}
        24:{1,2,3,5,6}:{(26,1),(42,1),(43,1),(83,1),(90,1),(107,1),(177,1),(182,1),(205,1),(214,1),(217,1),(295,1)}
        25:{1,3,4,5,6}:{(28,1),(44,1),(45,1),(89,1),(105,1),(211,1),(291,1),(293,1),(329,1),(394,1)}
        26:{1,2,3,5}:{(14,1),(47,1),(54,1),(123,1)}
        27:{2,4,5}:{(13,1),(16,1),(49,1),(50,1)}
        28:{1,3,4,6}:{(13,1),(18,1),(50,1),(52,1),(429,1),(436,1)}
        29:{1,3,4,5,7}:{(13,1),(19,1),(51,1),(52,1),(53,1),(65,1),(133,1),(144,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(47,1),(54,1),(55,1),(136,1)}
        31:{1,2,3,7}:{(14,1),(55,1),(235,1)}
        32:{1,3,5}:{(15,1),(16,1),(49,1),(54,1)}
        33:{1,3,4,7}:{(15,1),(17,1),(55,1),(58,1),(129,1),(235,1)}
        34:{2,3,5,6}:{(16,1),(18,1),(50,1),(57,1),(60,1),(61,1),(132,1),(152,1),(226,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(19,1),(51,1),(58,1),(61,1)}
        36:{2,3,4,6,7}:{(17,1),(20,1),(59,1),(61,1),(62,1),(131,1),(143,1),(228,1),(249,1),(253,1),(340,1),(358,1),(361,1),(435,1)}
        37:{1,3,5,7}:{(18,1),(21,1),(52,1),(60,1),(63,1),(333,1),(438,1)}
        38:{1,3,6}:{(19,1),(22,1),(61,1)}
        39:{1,3,5,7}:{(20,1),(23,1),(62,1),(64,1),(65,1),(335,1),(449,1)}
        40:{1,2,4,6,7}:{(21,1),(22,1),(63,1),(66,1),(131,1),(145,1),(162,1),(267,1),(377,1)}
        41:{1,2,5,6}:{(22,1),(23,1),(64,1),(132,1),(451,1)}
        42:{1,2,4,6}:{(24,1),(47,1),(69,1),(70,1),(71,1),(262,1),(349,1)}
        43:{1,2,3,5,7}:{(24,1),(71,1),(72,1),(135,1),(157,1),(161,1),(235,1),(264,1),(348,1)}
        44:{2,4,5,6}:{(25,1),(50,1),(68,1),(73,1),(74,1),(132,1),(152,1),(262,1),(373,1)}
        45:{1,3,4,5,7}:{(25,1),(52,1),(74,1),(75,1),(133,1),(153,1),(270,1),(345,1),(347,1),(379,1),(438,1)}
        46:{2,3,4,5}:{(27,1),(77,1),(78,1),(169,1),(204,1),(392,1)}
        47:{1,2,4}:{(26,1),(80,1)}
        48:{1,2,3,5,7}:{(26,1),(31,1),(82,1),(83,1),(91,1),(178,1),(182,1),(493,1),(494,1),(526,1)}
        49:{1,4,5}:{(27,1),(32,1),(84,1)}
        50:{2,4,6}:{(27,1),(28,1),(34,1),(84,1),(86,1)}
        51:{2,4,5,7}:{(27,1),(29,1),(35,1),(85,1),(86,1),(87,1),(186,1)}
        52:{1,3,4,7}:{(28,1),(37,1),(86,1),(466,1),(473,1)}
        53:{1,3,4,6}:{(29,1),(38,1),(87,1),(89,1),(101,1),(197,1)}
        54:{1,2,5}:{(30,1),(32,1)}
        55:{1,2,4,7}:{(30,1),(31,1),(33,1),(91,1)}
        56:{1,2,3,6,7}:{(31,1),(83,1),(92,1),(93,1),(294,1),(305,1),(406,1),(537,1)}
        57:{1,3,5,6}:{(32,1),(34,1),(84,1),(90,1),(94,1),(95,1),(177,1),(185,1)}
        58:{1,3,5,7}:{(32,1),(33,1),(35,1),(85,1),(91,1),(95,1)}
        59:{1,3,4,6,7}:{(33,1),(36,1),(92,1),(95,1),(96,1),(179,1),(184,1),(192,1),(194,1),(294,1),(305,1),(397,1)}
        60:{2,3,5,7}:{(34,1),(37,1),(86,1),(94,1),(97,1),(186,1),(208,1),(285,1)}
        61:{2,3,6}:{(35,1),(38,1),(87,1),(95,1)}
        62:{2,3,5,7}:{(36,1),(39,1),(96,1),(98,1),(99,1),(186,1),(287,1),(303,1),(404,1)}
        63:{1,3,6,7}:{(37,1),(38,1),(40,1),(97,1),(424,1)}
        64:{1,3,5,6}:{(38,1),(39,1),(41,1),(98,1),(101,1),(405,1),(407,1)}
        65:{1,4,5,7}:{(39,1),(99,1),(101,1),(385,1),(466,1)}
        66:{1,2,5,6,7}:{(40,1),(41,1),(100,1),(186,1),(218,1),(325,1),(386,1),(485,1)}
        67:{1,2,3,6}:{(76,1),(102,1),(103,1),(278,1)}
        68:{2,3,5,6}:{(44,1),(78,1),(105,1),(106,1),(394,1)}
        69:{1,3,4,6}:{(42,1),(80,1),(104,1),(107,1),(108,1),(177,1),(214,1)}
        70:{1,2,4,5}:{(42,1),(107,1),(182,1),(204,1),(296,1)}
        71:{1,2,4,7}:{(42,1),(43,1),(108,1),(320,1),(397,1)}
        72:{1,2,3,6,7}:{(43,1),(83,1),(111,1),(189,1),(214,1),(294,1),(322,1),(494,1)}
        73:{1,4,5,6}:{(44,1),(84,1),(105,1),(112,1),(185,1),(311,1),(412,1)}
        74:{2,4,5,7}:{(44,1),(45,1),(86,1),(106,1),(112,1),(113,1),(186,1),(208,1),(320,1),(420,1)}
        75:{1,3,4,6,7}:{(45,1),(113,1),(114,1),(209,1),(326,1),(327,1),(424,1)}
        76:{1,2,3,5}:{(67,1),(115,1),(147,1),(220,1)}
        77:{1,3,4,5}:{(46,1),(49,1),(118,1),(119,1),(123,1),(220,1),(254,1)}
        78:{2,3,4,6}:{(46,1),(50,1),(68,1),(119,1),(121,1),(226,1),(262,1),(436,1)}
        79:{2,3,4,5,7}:{(46,1),(51,1),(120,1),(121,1),(122,1),(144,1),(227,1),(233,1),(252,1),(263,1),(342,1),(376,1),(435,1),(437,1),(456,1),(504,1)}
        80:{1,3,4}:{(47,1),(117,1),(123,1)}
        81:{1,2,4,5}:{(47,1),(49,1),(54,1),(118,1),(123,1),(125,1)}
        82:{1,2,4,7}:{(47,1),(48,1),(124,1),(127,1),(542,1)}
        83:{1,2,3,6}:{(48,1),(127,1),(136,1),(236,1),(519,1)}
        84:{1,4,6}:{(49,1),(50,1),(57,1),(129,1)}
        85:{1,4,5,7}:{(49,1),(51,1),(58,1),(129,1),(130,1),(242,1)}
        86:{2,4,7}:{(50,1),(52,1),(60,1),(129,1)}
        87:{2,4,6}:{(51,1),(53,1),(61,1),(130,1),(132,1)}
        88:{1,3,4,6,7}:{(52,1),(53,1),(63,1),(131,1),(133,1),(145,1),(253,1)}
        89:{1,3,5,6}:{(53,1),(132,1),(133,1),(134,1),(245,1)}
        90:{1,2,5,6}:{(54,1),(57,1),(125,1),(135,1),(136,1),(152,1)}
        91:{1,2,5,7}:{(54,1),(55,1),(58,1),(136,1)}
        92:{1,2,4,6,7}:{(55,1),(56,1),(59,1),(127,1),(136,1),(137,1),(138,1),(247,1),(361,1)}
        93:{1,2,3,5,7}:{(56,1),(128,1),(137,1),(138,1),(248,1),(348,1),(445,1),(541,1),(552,1)}
        94:{1,3,5,7}:{(57,1),(60,1),(129,1),(135,1),(139,1),(235,1),(242,1)}
        95:{1,3,6}:{(58,1),(61,1),(130,1),(136,1)}
        96:{1,3,5,7}:{(59,1),(62,1),(137,1),(140,1),(141,1),(237,1),(242,1)}
        97:{2,3,6,7}:{(60,1),(61,1),(63,1),(131,1),(139,1),(267,1)}
        98:{2,3,5,6}:{(61,1),(62,1),(64,1),(132,1),(140,1),(143,1),(245,1),(356,1),(358,1)}
        99:{2,4,5,7}:{(62,1),(65,1),(141,1),(143,1),(144,1),(342,1),(435,1)}
       100:{1,3,5,6,7}:{(63,1),(64,1),(66,1),(133,1),(142,1),(145,1),(428,1),(449,1),(450,1)}
       101:{1,4,6}:{(64,1),(65,1),(143,1)}
       102:{1,2,4,6}:{(67,1),(115,1),(146,1),(147,1),(148,1),(259,1)}
       103:{1,2,3,7}:{(67,1),(148,1),(333,1)}
       104:{2,3,4,6}:{(69,1),(117,1),(146,1),(150,1),(151,1),(226,1),(262,1),(265,1)}
       105:{1,3,5,6}:{(68,1),(73,1),(119,1),(152,1),(153,1)}
       106:{2,3,5,7}:{(68,1),(74,1),(121,1),(153,1),(154,1),(438,1)}
       107:{1,3,5}:{(69,1),(70,1),(150,1)}
       108:{1,3,4,7}:{(69,1),(71,1),(151,1),(157,1),(235,1)}
       109:{1,2,4,5,6}:{(70,1),(73,1),(125,1),(152,1),(156,1),(159,1),(160,1),(239,1),(262,1),(344,1),(349,1),(373,1),(380,1)}
       110:{1,2,4,5,7}:{(70,1),(71,1),(157,1),(160,1),(161,1),(263,1),(274,1)}
       111:{1,2,4,6,7}:{(71,1),(72,1),(127,1),(158,1),(160,1),(161,1),(372,1),(460,1),(519,1)}
       112:{1,4,5,7}:{(73,1),(74,1),(129,1),(153,1),(162,1),(242,1),(363,1),(452,1)}
       113:{2,4,6,7}:{(74,1),(75,1),(154,1),(162,1),(163,1),(267,1)}
       114:{1,3,5,6,7}:{(75,1),(133,1),(163,1),(164,1),(277,1),(379,1)}
       115:{1,2,4}:{(76,1),(165,1)}
       116:{1,2,3,5,7}:{(76,1),(103,1),(167,1),(168,1),(201,1),(279,1),(283,1),(408,1),(409,1),(484,1)}
       117:{2,3,4}:{(80,1),(165,1),(169,1)}
       118:{2,4,5}:{(77,1),(169,1),(171,1)}
       119:{1,3,4,6}:{(77,1),(78,1),(84,1),(105,1),(171,1),(173,1),(177,1),(278,1),(311,1)}
       120:{1,3,4,5,7}:{(77,1),(79,1),(85,1),(172,1),(173,1),(174,1),(178,1),(279,1),(290,1),(296,1),(310,1),(312,1),(385,1),(392,1),(397,1),(466,1),(473,1),(475,1),(490,1),(527,1)}
       121:{2,3,4,7}:{(78,1),(86,1),(106,1),(173,1),(285,1),(320,1),(473,1)}
       122:{2,3,4,6}:{(79,1),(87,1),(174,1),(176,1),(197,1),(286,1),(309,1),(321,1),(391,1),(423,1),(489,1)}
       123:{1,3,5}:{(80,1),(81,1),(169,1),(177,1)}
       124:{1,3,4,7}:{(80,1),(82,1),(170,1),(178,1),(179,1),(397,1),(550,1)}
       125:{1,2,4,6}:{(81,1),(84,1),(90,1),(171,1),(177,1),(180,1)}
       126:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(91,1),(172,1),(178,1),(180,1),(181,1),(182,1),(296,1),(297,1),(397,1),(490,1),(493,1),(523,1),(548,1)}
       127:{1,2,4,6}:{(82,1),(83,1),(179,1),(182,1)}
       128:{1,2,3,5,6}:{(83,1),(93,1),(182,1),(183,1),(190,1),(295,1),(299,1),(305,1),(401,1),(525,1),(526,1),(549,1)}
       129:{1,4,7}:{(84,1),(86,1),(94,1)}
       130:{1,4,6}:{(85,1),(87,1),(95,1),(185,1)}
       131:{2,4,6,7}:{(86,1),(87,1),(88,1),(97,1),(184,1),(186,1)}
       132:{2,5,6}:{(87,1),(89,1),(185,1),(186,1)}
       133:{1,3,5,7}:{(88,1),(89,1),(186,1),(188,1),(303,1)}
       134:{1,4,5,6}:{(89,1),(101,1),(187,1),(188,1),(405,1)}
       135:{1,2,5,7}:{(90,1),(94,1),(180,1),(189,1),(208,1)}
       136:{1,2,6}:{(91,1),(95,1)}
       137:{1,2,5,7}:{(92,1),(96,1),(182,1),(190,1),(404,1)}
       138:{1,2,4,7}:{(93,1),(183,1),(192,1),(397,1),(479,1)}
       139:{1,3,6,7}:{(94,1),(95,1),(97,1),(184,1),(189,1)}
       140:{1,3,5,6}:{(95,1),(96,1),(98,1),(185,1),(190,1),(194,1),(305,1)}
       141:{1,4,5,7}:{(96,1),(99,1),(194,1),(296,1),(397,1)}
       142:{2,3,5,6,7}:{(97,1),(98,1),(100,1),(186,1),(193,1),(196,1),(303,1),(325,1),(390,1),(404,1),(406,1),(424,1)}
       143:{2,4,6}:{(98,1),(99,1),(101,1),(194,1),(197,1)}
       144:{3,4,5,7}:{(99,1),(197,1),(303,1),(392,1),(473,1)}
       145:{1,4,6,7}:{(100,1),(101,1),(188,1),(196,1),(466,1)}
       146:{1,3,4,6}:{(102,1),(104,1),(165,1),(198,1),(199,1),(278,1),(311,1),(314,1)}
       147:{1,2,5}:{(102,1),(198,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(199,1),(201,1)}
       149:{1,2,3,6,7}:{(103,1),(168,1),(202,1),(203,1),(383,1),(417,1),(485,1),(491,1)}
       150:{2,3,5}:{(104,1),(107,1),(198,1),(204,1)}
       151:{2,3,4,7}:{(104,1),(108,1),(199,1),(206,1),(285,1),(320,1)}
       152:{2,5,6}:{(105,1),(171,1),(208,1)}
       153:{1,3,5,7}:{(105,1),(106,1),(112,1),(173,1),(208,1),(209,1)}
       154:{2,3,6,7}:{(106,1),(113,1),(209,1),(424,1)}
       155:{1,3,4,5}:{(107,1),(204,1),(211,1),(296,1),(392,1)}
       156:{1,3,5,6}:{(107,1),(109,1),(177,1),(205,1),(211,1),(213,1),(214,1),(394,1)}
       157:{1,3,5,7}:{(107,1),(108,1),(110,1),(206,1),(214,1)}
       158:{1,3,4,6,7}:{(108,1),(111,1),(179,1),(207,1),(214,1),(215,1),(294,1),(331,1),(397,1),(419,1),(492,1),(536,1)}
       159:{1,2,4,5,7}:{(109,1),(112,1),(180,1),(208,1),(213,1),(216,1),(297,1),(320,1),(393,1),(397,1),(420,1),(426,1)}
       160:{1,2,4,6}:{(110,1),(214,1),(217,1),(321,1),(331,1)}
       161:{1,2,5,7}:{(111,1),(182,1),(215,1),(217,1),(420,1)}
       162:{1,4,6,7}:{(112,1),(113,1),(209,1),(218,1)}
       163:{2,5,6,7}:{(113,1),(114,1),(186,1),(218,1),(420,1)}
       164:{1,4,5,6,7}:{(114,1),(188,1),(219,1),(326,1),(426,1),(427,1)}
       165:{1,3,4}:{(115,1),(117,1),(220,1)}
       166:{1,2,4,5}:{(115,1),(118,1),(147,1),(220,1),(222,1),(254,1)}
       167:{1,2,4,7}:{(115,1),(116,1),(221,1),(224,1),(513,1)}
       168:{1,2,3,6}:{(116,1),(224,1),(259,1),(334,1),(451,1)}
       169:{2,3,5}:{(117,1),(118,1),(123,1),(220,1),(226,1)}
       170:{2,3,4,7}:{(117,1),(124,1),(221,1),(227,1),(228,1),(435,1),(545,1)}
       171:{2,4,6}:{(118,1),(119,1),(152,1),(226,1),(229,1)}
       172:{2,4,5,7}:{(118,1),(120,1),(227,1),(229,1),(230,1),(342,1),(343,1),(435,1),(506,1),(543,1)}
       173:{1,3,4,7}:{(119,1),(121,1),(129,1),(153,1),(229,1),(235,1),(333,1),(363,1)}
       174:{1,3,4,6}:{(120,1),(122,1),(130,1),(230,1),(232,1),(236,1),(334,1),(349,1),(362,1),(364,1),(429,1),(436,1),(517,1)}
       175:{2,3,4,6,7}:{(121,1),(122,1),(131,1),(154,1),(231,1),(233,1),(253,1),(269,1),(340,1),(361,1),(372,1),(435,1),(463,1),(464,1),(504,1),(516,1)}
       176:{2,3,5,6}:{(122,1),(132,1),(232,1),(233,1),(234,1),(245,1),(356,1),(373,1),(462,1),(515,1)}
       177:{1,3,6}:{(123,1),(125,1),(226,1),(235,1)}
       178:{1,3,5,7}:{(123,1),(124,1),(126,1),(227,1),(235,1),(236,1),(237,1),(540,1),(552,1)}
       179:{1,3,4,6}:{(124,1),(127,1),(228,1),(236,1),(237,1),(349,1)}
       180:{1,2,4,7}:{(125,1),(129,1),(135,1),(229,1),(235,1)}
       181:{1,2,4,6}:{(126,1),(130,1),(136,1),(230,1),(236,1),(239,1),(349,1),(517,1),(519,1)}
       182:{1,2,5}:{(127,1),(237,1)}
       183:{1,2,4,6}:{(128,1),(138,1),(240,1),(241,1),(349,1),(443,1),(542,1)}
       184:{1,4,6,7}:{(129,1),(130,1),(131,1),(139,1),(242,1)}
       185:{1,5,6}:{(130,1),(132,1),(242,1)}
       186:{2,5,7}:{(131,1),(132,1),(133,1),(242,1)}
       187:{2,4,5,6}:{(132,1),(134,1),(143,1),(243,1),(244,1),(245,1),(356,1)}
       188:{1,4,5,7}:{(133,1),(134,1),(145,1),(244,1),(449,1)}
       189:{1,2,6,7}:{(135,1),(136,1),(139,1),(267,1)}
       190:{1,2,5,6}:{(136,1),(137,1),(140,1),(247,1),(356,1)}
       191:{1,2,4,5,7}:{(137,1),(138,1),(141,1),(240,1),(247,1),(248,1),(252,1)}
       192:{1,3,4,7}:{(138,1),(241,1),(248,1),(249,1),(552,1)}
       193:{1,3,5,6,7}:{(139,1),(140,1),(142,1),(242,1),(246,1),(250,1),(348,1),(355,1),(357,1)}
       194:{1,4,6}:{(140,1),(141,1),(143,1)}
       195:{1,3,4,5,7}:{(141,1),(144,1),(248,1),(251,1),(252,1),(350,1),(355,1),(442,1)}
       196:{2,4,6,7}:{(142,1),(143,1),(145,1),(244,1),(250,1),(253,1),(435,1)}
       197:{3,4,6}:{(143,1),(144,1),(245,1)}
       198:{1,3,5}:{(146,1),(147,1),(150,1),(254,1)}
       199:{1,3,4,7}:{(146,1),(148,1),(151,1),(256,1),(333,1),(363,1)}
       200:{1,2,5,6}:{(147,1),(152,1),(222,1),(255,1),(258,1),(259,1)}
       201:{1,2,5,7}:{(147,1),(148,1),(256,1),(259,1)}
       202:{1,2,4,6,7}:{(148,1),(149,1),(224,1),(257,1),(259,1),(260,1),(261,1),(369,1),(516,1)}
       203:{1,2,3,5,7}:{(149,1),(225,1),(260,1),(261,1),(370,1),(428,1),(500,1),(512,1),(546,1)}
       204:{2,4,5}:{(150,1),(155,1),(254,1),(262,1)}
       205:{2,3,5,6}:{(150,1),(152,1),(156,1),(226,1),(255,1),(262,1),(264,1),(265,1),(373,1)}
       206:{2,3,5,7}:{(150,1),(151,1),(157,1),(256,1),(263,1),(265,1)}
       207:{2,3,4,6,7}:{(151,1),(158,1),(228,1),(257,1),(265,1),(266,1),(340,1),(371,1),(372,1),(375,1),(435,1),(458,1),(463,1),(516,1)}
       208:{2,5,7}:{(152,1),(153,1),(229,1),(267,1)}
       209:{1,3,6,7}:{(153,1),(154,1),(162,1),(267,1)}
       210:{2,3,5,6,7}:{(154,1),(163,1),(233,1),(268,1),(269,1),(277,1),(382,1),(464,1)}
       211:{1,3,4,6}:{(155,1),(156,1),(262,1),(270,1),(349,1),(436,1)}
       212:{1,3,4,5,7}:{(155,1),(157,1),(263,1),(270,1),(271,1),(274,1),(376,1),(379,1)}
       213:{1,3,5,7}:{(156,1),(159,1),(235,1),(264,1),(270,1),(272,1),(438,1)}
       214:{1,3,6}:{(157,1),(160,1),(265,1)}
       215:{1,3,5,7}:{(158,1),(161,1),(237,1),(266,1),(273,1),(274,1),(547,1)}
       216:{1,2,4,6,7}:{(159,1),(160,1),(162,1),(267,1),(272,1),(275,1),(372,1),(377,1),(381,1)}
       217:{1,2,5,6}:{(160,1),(161,1),(273,1),(373,1),(519,1)}
       218:{1,5,6,7}:{(162,1),(163,1),(242,1),(452,1)}
       219:{2,4,5,6,7}:{(163,1),(164,1),(244,1),(269,1),(276,1),(277,1),(377,1),(382,1),(461,1)}
       220:{1,3,5}:{(165,1),(166,1),(169,1),(278,1)}
       221:{1,3,4,7}:{(165,1),(167,1),(170,1),(279,1),(280,1),(466,1),(533,1)}
       222:{1,2,4,6}:{(166,1),(171,1),(200,1),(278,1),(281,1),(311,1)}
       223:{1,2,4,5,7}:{(166,1),(167,1),(172,1),(201,1),(279,1),(281,1),(282,1),(283,1),(310,1),(312,1),(385,1),(386,1),(408,1),(466,1),(481,1),(531,1)}
       224:{1,2,4,6}:{(167,1),(168,1),(280,1),(283,1)}
       225:{1,2,3,5,6}:{(168,1),(203,1),(283,1),(284,1),(317,1),(384,1),(388,1),(417,1),(470,1),(483,1),(484,1),(532,1)}
       226:{2,3,6}:{(169,1),(171,1),(177,1),(278,1),(285,1)}
       227:{2,3,5,7}:{(169,1),(170,1),(172,1),(178,1),(279,1),(285,1),(286,1),(287,1),(529,1),(551,1)}
       228:{2,3,4,6}:{(170,1),(179,1),(280,1),(286,1),(287,1),(391,1)}
       229:{2,4,7}:{(171,1),(173,1),(208,1),(285,1)}
       230:{2,4,6}:{(172,1),(174,1),(286,1),(289,1)}
       231:{1,3,4,6,7}:{(173,1),(174,1),(175,1),(184,1),(209,1),(288,1),(290,1),(294,1),(326,1),(383,1),(397,1),(410,1),(411,1),(424,1),(466,1),(473,1),(496,1),(527,1),(536,1)}
       232:{1,3,5,6}:{(174,1),(176,1),(185,1),(289,1),(290,1),(291,1),(394,1),(405,1),(412,1),(535,1)}
       233:{2,3,5,7}:{(175,1),(176,1),(186,1),(290,1),(292,1),(303,1),(404,1),(420,1),(495,1),(534,1)}
       234:{2,4,5,6}:{(176,1),(291,1),(292,1),(293,1),(391,1)}
       235:{1,3,7}:{(177,1),(180,1),(285,1)}
       236:{1,3,6}:{(178,1),(181,1),(286,1)}
       237:{1,3,5}:{(179,1),(182,1),(287,1),(296,1)}
       238:{1,2,4,6,7}:{(180,1),(181,1),(184,1),(189,1),(288,1),(294,1),(297,1),(397,1),(536,1),(537,1),(548,1)}
       239:{1,2,5,6}:{(181,1),(182,1),(185,1),(289,1),(295,1),(297,1),(535,1)}
       240:{1,2,4,5}:{(182,1),(183,1),(296,1),(299,1),(399,1)}
       241:{1,3,4,6}:{(183,1),(192,1),(299,1),(300,1),(305,1),(549,1),(550,1)}
       242:{1,5,7}:{(184,1),(185,1),(186,1)}
       243:{1,4,5,6}:{(185,1),(187,1),(194,1),(301,1),(302,1)}
       244:{2,4,5,7}:{(186,1),(187,1),(188,1),(196,1),(301,1),(303,1),(404,1)}
       245:{3,5,6}:{(187,1),(197,1),(303,1)}
       246:{1,2,5,6,7}:{(189,1),(190,1),(193,1),(297,1),(304,1),(325,1),(404,1),(427,1)}
       247:{1,2,4,6}:{(190,1),(191,1),(194,1),(305,1),(309,1)}
       248:{1,3,5,7}:{(191,1),(192,1),(299,1),(305,1),(306,1)}
       249:{2,3,4,7}:{(192,1),(300,1),(306,1),(307,1),(479,1),(551,1)}
       250:{1,4,6,7}:{(193,1),(194,1),(196,1),(301,1),(397,1)}
       251:{1,3,4,6}:{(194,1),(195,1),(197,1),(302,1),(305,1),(309,1)}
       252:{2,4,5,7}:{(195,1),(306,1),(309,1),(310,1),(399,1),(404,1),(479,1)}
       253:{3,4,6,7}:{(196,1),(197,1),(303,1),(424,1),(473,1)}
       254:{1,4,5}:{(198,1),(204,1),(311,1)}
       255:{1,3,5,6}:{(198,1),(200,1),(205,1),(278,1),(311,1),(313,1),(314,1),(412,1)}
       256:{1,3,5,7}:{(198,1),(199,1),(201,1),(206,1),(312,1),(314,1)}
       257:{1,3,4,6,7}:{(199,1),(202,1),(207,1),(280,1),(314,1),(315,1),(319,1),(383,1),(411,1),(414,1),(417,1),(466,1)}
       258:{1,2,5,7}:{(200,1),(208,1),(281,1),(313,1),(316,1)}
       259:{1,2,6}:{(201,1),(314,1)}
       260:{1,2,5,7}:{(202,1),(283,1),(315,1),(317,1),(534,1)}
       261:{1,2,4,7}:{(203,1),(284,1),(319,1),(466,1),(521,1)}
       262:{2,4,6}:{(204,1),(205,1),(211,1),(311,1),(320,1)}
       263:{2,4,5,7}:{(204,1),(206,1),(212,1),(312,1),(320,1),(321,1),(420,1)}
       264:{2,3,5,7}:{(205,1),(208,1),(213,1),(285,1),(313,1),(320,1),(322,1),(420,1)}
       265:{2,3,6}:{(206,1),(214,1),(314,1),(321,1)}
       266:{2,3,5,7}:{(207,1),(215,1),(287,1),(315,1),(323,1),(324,1),(420,1),(495,1),(534,1)}
       267:{2,6,7}:{(208,1),(209,1)}
       268:{1,3,5,6,7}:{(209,1),(210,1),(218,1),(290,1),(325,1),(326,1),(424,1),(427,1),(496,1)}
       269:{2,4,6,7}:{(210,1),(292,1),(326,1),(327,1)}
       270:{1,3,4,7}:{(211,1),(213,1),(320,1),(397,1),(473,1)}
       271:{1,3,4,6}:{(212,1),(214,1),(321,1),(329,1),(331,1),(423,1)}
       272:{1,3,6,7}:{(213,1),(214,1),(216,1),(322,1),(424,1)}
       273:{1,3,5,6}:{(214,1),(215,1),(217,1),(323,1),(331,1),(492,1),(535,1)}
       274:{1,4,5,7}:{(215,1),(296,1),(324,1),(331,1),(397,1)}
       275:{1,2,5,6,7}:{(216,1),(217,1),(218,1),(297,1),(325,1),(330,1),(420,1),(537,1)}
       276:{1,4,5,6,7}:{(218,1),(219,1),(301,1),(326,1),(332,1),(486,1)}
       277:{3,5,6,7}:{(219,1),(303,1),(327,1),(424,1),(495,1)}
       278:{1,3,6}:{(220,1),(222,1),(226,1),(333,1)}
       279:{1,3,5,7}:{(220,1),(221,1),(223,1),(227,1),(333,1),(334,1),(335,1),(511,1),(546,1)}
       280:{1,3,4,6}:{(221,1),(224,1),(228,1),(334,1),(335,1),(429,1)}
       281:{1,2,4,7}:{(222,1),(229,1),(258,1),(333,1),(363,1)}
       282:{1,2,4,6}:{(223,1),(230,1),(259,1),(334,1),(337,1),(362,1),(364,1),(429,1),(451,1)}
       283:{1,2,5}:{(224,1),(335,1)}
       284:{1,2,4,6}:{(225,1),(261,1),(338,1),(339,1),(429,1),(498,1),(513,1)}
       285:{2,3,7}:{(226,1),(229,1),(235,1),(333,1)}
       286:{2,3,6}:{(227,1),(230,1),(236,1),(334,1)}
       287:{2,3,5}:{(228,1),(237,1),(335,1),(342,1)}
       288:{2,4,6,7}:{(229,1),(230,1),(231,1),(267,1),(340,1),(343,1),(435,1),(520,1),(543,1)}
       289:{2,5,6}:{(230,1),(232,1),(343,1)}
       290:{1,3,5,7}:{(231,1),(232,1),(233,1),(242,1),(343,1),(345,1),(438,1),(449,1),(452,1),(547,1)}
       291:{1,4,5,6}:{(232,1),(234,1),(344,1),(345,1),(349,1),(429,1)}
       292:{2,4,5,7}:{(233,1),(234,1),(269,1),(345,1),(347,1),(435,1)}
       293:{3,4,5,6}:{(234,1),(245,1),(347,1),(436,1),(462,1)}
       294:{1,3,6,7}:{(235,1),(236,1),(238,1),(340,1),(348,1),(552,1)}
       295:{1,3,5,6}:{(236,1),(237,1),(239,1),(341,1),(348,1),(349,1)}
       296:{1,4,5}:{(237,1),(342,1),(349,1)}
       297:{1,2,5,7}:{(238,1),(239,1),(242,1),(343,1),(348,1),(547,1)}
       298:{1,2,4,5,6}:{(239,1),(240,1),(243,1),(247,1),(344,1),(349,1),(351,1),(352,1),(356,1),(441,1),(443,1),(508,1),(539,1)}
       299:{1,3,5}:{(240,1),(241,1),(353,1)}
       300:{2,3,4,6}:{(241,1),(249,1),(353,1),(354,1),(358,1),(443,1),(544,1),(545,1)}
       301:{1,4,5,7}:{(242,1),(243,1),(244,1),(250,1),(355,1)}
       302:{1,3,5,6}:{(243,1),(245,1),(251,1),(355,1),(356,1)}
       303:{3,5,7}:{(244,1),(245,1),(253,1)}
       304:{1,2,4,6,7}:{(246,1),(247,1),(250,1),(351,1),(357,1),(361,1),(377,1),(465,1),(520,1)}
       305:{1,3,6}:{(247,1),(248,1),(358,1)}
       306:{2,3,5,7}:{(248,1),(249,1),(252,1),(353,1),(358,1),(359,1)}
       307:{1,3,4,7}:{(249,1),(354,1),(359,1),(360,1),(509,1),(546,1)}
       308:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(355,1),(357,1),(361,1),(442,1)}
       309:{2,4,6}:{(251,1),(252,1),(356,1),(358,1),(362,1)}
       310:{1,4,5,7}:{(252,1),(359,1),(362,1),(444,1),(449,1),(509,1)}
       311:{1,4,6}:{(254,1),(255,1),(262,1),(363,1)}
       312:{1,4,5,7}:{(254,1),(256,1),(263,1),(363,1),(364,1),(452,1)}
       313:{1,3,5,7}:{(255,1),(258,1),(264,1),(333,1),(363,1),(365,1),(452,1)}
       314:{1,3,6}:{(256,1),(259,1),(265,1),(364,1)}
       315:{1,3,5,7}:{(257,1),(260,1),(266,1),(335,1),(366,1),(367,1),(452,1)}
       316:{1,2,6,7}:{(258,1),(259,1),(267,1),(365,1)}
       317:{1,2,5,6}:{(259,1),(260,1),(366,1),(369,1),(515,1)}
       318:{1,2,4,5,7}:{(260,1),(261,1),(338,1),(367,1),(369,1),(370,1),(456,1)}
       319:{1,3,4,7}:{(261,1),(339,1),(370,1),(371,1),(546,1)}
       320:{2,4,7}:{(262,1),(264,1),(270,1),(363,1)}
       321:{2,4,6}:{(263,1),(265,1),(271,1),(364,1),(373,1)}
       322:{2,3,6,7}:{(264,1),(265,1),(267,1),(272,1),(365,1),(372,1)}
       323:{2,3,5,6}:{(265,1),(266,1),(273,1),(366,1),(373,1),(375,1),(458,1),(462,1),(515,1)}
       324:{2,4,5,7}:{(266,1),(274,1),(342,1),(367,1),(375,1),(376,1),(435,1)}
       325:{2,5,6,7}:{(267,1),(268,1),(343,1),(377,1),(520,1)}
       326:{1,4,6,7}:{(268,1),(269,1),(345,1),(377,1)}
       327:{3,4,6,7}:{(269,1),(277,1),(347,1)}
       328:{1,3,4,6,7}:{(270,1),(271,1),(272,1),(372,1),(379,1),(381,1),(463,1)}
       329:{1,3,5,6}:{(271,1),(373,1),(379,1),(380,1),(462,1)}
       330:{1,3,5,6,7}:{(272,1),(273,1),(275,1),(348,1),(374,1),(379,1),(381,1),(518,1),(547,1)}
       331:{1,4,6}:{(273,1),(274,1),(375,1)}
       332:{1,3,5,6,7}:{(276,1),(277,1),(355,1),(378,1),(382,1),(514,1)}
       333:{1,3,7}:{(278,1),(281,1),(285,1)}
       334:{1,3,6}:{(279,1),(282,1),(286,1)}
       335:{1,3,5}:{(280,1),(283,1),(287,1),(385,1)}
       336:{1,2,4,6,7}:{(281,1),(282,1),(288,1),(316,1),(383,1),(386,1),(410,1),(411,1),(466,1),(485,1),(531,1)}
       337:{1,2,5,6}:{(282,1),(283,1),(289,1),(384,1),(386,1),(405,1),(412,1)}
       338:{1,2,4,5}:{(283,1),(284,1),(385,1),(388,1),(468,1)}
       339:{1,3,4,6}:{(284,1),(319,1),(388,1),(389,1),(417,1),(532,1),(533,1)}
       340:{2,3,6,7}:{(285,1),(286,1),(288,1),(294,1),(383,1),(390,1),(424,1),(551,1)}
       341:{2,3,5,6}:{(286,1),(287,1),(289,1),(295,1),(384,1),(390,1),(391,1),(394,1)}
       342:{2,4,5}:{(287,1),(296,1),(385,1),(391,1),(392,1)}
       343:{2,5,7}:{(288,1),(289,1),(290,1)}
       344:{2,4,5,6}:{(289,1),(291,1),(391,1),(393,1),(394,1)}
       345:{1,4,5,7}:{(290,1),(291,1),(292,1),(326,1),(393,1),(397,1),(466,1)}
       346:{1,3,4,5,6}:{(291,1),(293,1),(302,1),(394,1),(395,1),(396,1),(398,1),(467,1),(477,1),(487,1)}
       347:{3,4,5,7}:{(292,1),(293,1),(303,1),(327,1),(473,1),(495,1)}
       348:{1,3,5,7}:{(294,1),(295,1),(297,1),(390,1),(397,1)}
       349:{1,4,6}:{(295,1),(296,1),(391,1),(397,1)}
       350:{1,3,4,5}:{(296,1),(299,1),(392,1),(398,1),(399,1)}
       351:{1,2,4,5,7}:{(297,1),(298,1),(301,1),(304,1),(393,1),(397,1),(400,1),(404,1),(478,1),(479,1),(530,1),(548,1)}
       352:{1,3,5,6}:{(298,1),(299,1),(305,1),(394,1),(398,1),(400,1),(401,1),(549,1)}
       353:{2,3,5}:{(299,1),(300,1),(399,1),(402,1)}
       354:{1,3,4,6}:{(300,1),(307,1),(402,1),(403,1),(407,1),(480,1),(532,1),(533,1)}
       355:{1,3,5,7}:{(301,1),(302,1),(303,1),(308,1),(404,1)}
       356:{2,5,6}:{(302,1),(309,1),(404,1),(405,1)}
       357:{1,3,6,7}:{(304,1),(305,1),(400,1),(406,1),(424,1)}
       358:{2,3,6}:{(305,1),(306,1),(309,1),(407,1)}
       359:{1,3,5,7}:{(306,1),(307,1),(310,1),(402,1),(407,1),(408,1)}
       360:{1,2,4,7}:{(307,1),(403,1),(408,1),(409,1)}
       361:{2,4,6,7}:{(308,1),(309,1),(404,1),(406,1),(410,1),(479,1)}
       362:{1,4,6}:{(309,1),(310,1),(405,1),(407,1)}
       363:{1,4,7}:{(311,1),(313,1),(320,1)}
       364:{1,4,6}:{(312,1),(314,1),(321,1),(412,1)}
       365:{1,3,6,7}:{(313,1),(314,1),(316,1),(322,1),(411,1)}
       366:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(412,1),(414,1),(417,1)}
       367:{1,4,5,7}:{(315,1),(324,1),(385,1),(414,1),(466,1)}
       368:{1,2,5,6,7}:{(316,1),(317,1),(325,1),(386,1),(413,1),(416,1),(427,1),(534,1)}
       369:{1,2,4,6}:{(317,1),(318,1),(414,1),(417,1),(489,1)}
       370:{1,3,5,7}:{(318,1),(319,1),(388,1),(417,1),(418,1)}
       371:{2,3,4,7}:{(319,1),(389,1),(418,1),(419,1),(521,1),(551,1)}
       372:{2,4,6,7}:{(320,1),(321,1),(322,1),(328,1),(411,1),(420,1)}
       373:{2,5,6}:{(321,1),(329,1),(412,1),(420,1)}
       374:{2,3,5,6,7}:{(322,1),(323,1),(325,1),(330,1),(390,1),(413,1),(420,1),(422,1),(424,1),(491,1),(495,1),(534,1)}
       375:{2,4,6}:{(323,1),(324,1),(331,1),(414,1),(423,1)}
       376:{3,4,5,7}:{(324,1),(392,1),(423,1),(473,1),(495,1)}
       377:{2,4,6,7}:{(325,1),(326,1),(393,1),(424,1)}
       378:{1,3,4,6,7}:{(326,1),(327,1),(332,1),(395,1),(424,1),(425,1),(496,1)}
       379:{1,3,5,7}:{(328,1),(329,1),(420,1),(426,1),(495,1)}
       380:{1,4,5,6}:{(329,1),(331,1),(421,1),(426,1),(535,1)}
       381:{1,4,6,7}:{(330,1),(331,1),(397,1),(422,1),(426,1)}
       382:{2,5,6,7}:{(332,1),(404,1),(425,1),(427,1),(534,1)}
       383:{1,3,6,7}:{(333,1),(334,1),(336,1),(340,1),(428,1),(546,1)}
       384:{1,3,5,6}:{(334,1),(335,1),(337,1),(341,1),(428,1),(429,1)}
       385:{1,4,5}:{(335,1),(342,1),(429,1)}
       386:{1,2,5,7}:{(336,1),(337,1),(343,1),(428,1),(449,1),(452,1)}
       387:{1,2,4,5,6}:{(337,1),(338,1),(344,1),(369,1),(429,1),(431,1),(432,1),(441,1),(453,1),(498,1),(508,1),(510,1),(515,1)}
       388:{1,3,5}:{(338,1),(339,1),(433,1)}
       389:{2,3,4,6}:{(339,1),(371,1),(433,1),(434,1),(458,1),(498,1),(544,1),(545,1)}
       390:{2,3,5,7}:{(340,1),(341,1),(343,1),(348,1),(428,1),(435,1),(438,1)}
       391:{2,4,6}:{(341,1),(342,1),(349,1),(429,1),(435,1),(436,1)}
       392:{3,4,5}:{(342,1),(436,1)}
       393:{2,4,5,7}:{(343,1),(344,1),(345,1),(377,1),(435,1),(438,1)}
       394:{3,5,6}:{(344,1),(436,1),(438,1)}
       395:{1,3,4,5,7}:{(345,1),(346,1),(347,1),(355,1),(378,1),(438,1),(440,1),(442,1),(497,1),(507,1),(514,1)}
       396:{2,4,5,6}:{(346,1),(356,1),(439,1),(440,1),(441,1),(443,1),(498,1),(508,1),(515,1)}
       397:{1,4,7}:{(348,1),(349,1),(435,1)}
       398:{1,3,4,6}:{(349,1),(350,1),(352,1),(436,1),(442,1),(443,1)}
       399:{2,4,5}:{(350,1),(353,1),(443,1),(444,1)}
       400:{1,3,5,7}:{(351,1),(352,1),(357,1),(438,1),(442,1),(445,1),(552,1)}
       401:{2,3,5,6}:{(352,1),(353,1),(356,1),(358,1),(443,1),(445,1),(446,1),(508,1),(544,1)}
       402:{1,3,5}:{(353,1),(354,1),(444,1),(447,1)}
       403:{1,2,4,6}:{(354,1),(360,1),(447,1),(448,1),(451,1),(513,1)}
       404:{2,5,7}:{(355,1),(356,1),(361,1),(449,1)}
       405:{1,5,6}:{(356,1),(362,1),(449,1)}
       406:{2,3,6,7}:{(357,1),(358,1),(361,1),(445,1),(450,1),(520,1)}
       407:{1,3,6}:{(358,1),(359,1),(362,1),(451,1)}
       408:{1,2,5,7}:{(359,1),(360,1),(447,1),(451,1)}
       409:{1,2,3,7}:{(360,1),(448,1),(546,1)}
       410:{1,4,6,7}:{(361,1),(362,1),(449,1),(450,1),(509,1)}
       411:{1,4,6,7}:{(363,1),(364,1),(365,1),(372,1),(452,1)}
       412:{1,5,6}:{(364,1),(373,1),(452,1)}
       413:{1,3,5,6,7}:{(365,1),(366,1),(368,1),(374,1),(428,1),(452,1),(454,1),(457,1),(514,1)}
       414:{1,4,6}:{(366,1),(367,1),(375,1)}
       415:{1,3,4,5,7}:{(367,1),(370,1),(376,1),(430,1),(455,1),(456,1),(497,1),(514,1)}
       416:{1,2,4,6,7}:{(368,1),(369,1),(377,1),(431,1),(454,1),(457,1),(465,1),(516,1),(520,1)}
       417:{1,3,6}:{(369,1),(370,1),(458,1)}
       418:{2,3,5,7}:{(370,1),(371,1),(433,1),(456,1),(458,1),(459,1)}
       419:{1,3,4,7}:{(371,1),(434,1),(459,1),(460,1),(538,1),(552,1)}
       420:{2,5,7}:{(372,1),(373,1),(379,1),(452,1)}
       421:{2,4,5,6}:{(373,1),(375,1),(380,1),(453,1),(461,1),(462,1),(515,1)}
       422:{2,4,6,7}:{(374,1),(375,1),(381,1),(435,1),(454,1),(461,1),(463,1)}
       423:{3,4,6}:{(375,1),(376,1),(462,1)}
       424:{3,6,7}:{(377,1),(438,1)}
       425:{2,4,6,7}:{(378,1),(382,1),(440,1),(464,1),(465,1),(520,1)}
       426:{1,4,5,7}:{(379,1),(380,1),(381,1),(461,1),(547,1)}
       427:{1,5,6,7}:{(382,1),(449,1),(465,1),(547,1)}
       428:{1,3,5,7}:{(383,1),(384,1),(386,1),(390,1),(466,1)}
       429:{1,4,6}:{(384,1),(385,1),(391,1),(466,1)}
       430:{1,3,4,5}:{(385,1),(388,1),(392,1),(467,1),(468,1)}
       431:{1,2,4,5,7}:{(386,1),(387,1),(393,1),(416,1),(466,1),(469,1),(478,1),(486,1),(521,1),(530,1),(531,1),(534,1)}
       432:{1,3,5,6}:{(387,1),(388,1),(394,1),(417,1),(467,1),(469,1),(470,1),(532,1)}
       433:{2,3,5}:{(388,1),(389,1),(468,1),(471,1)}
       434:{1,3,4,6}:{(389,1),(419,1),(471,1),(472,1),(492,1),(522,1),(549,1),(550,1)}
       435:{2,4,7}:{(390,1),(391,1),(397,1),(466,1),(473,1)}
       436:{3,4,6}:{(391,1),(392,1),(394,1),(473,1)}
       437:{2,3,4,5}:{(392,1),(399,1),(468,1),(474,1),(475,1),(529,1)}
       438:{3,5,7}:{(393,1),(394,1),(424,1),(473,1)}
       439:{2,3,5,6}:{(394,1),(396,1),(474,1),(476,1),(477,1)}
       440:{2,4,5,7}:{(395,1),(396,1),(404,1),(425,1),(476,1),(478,1),(479,1),(521,1),(530,1),(534,1)}
       441:{1,4,5,6}:{(396,1),(405,1),(477,1),(478,1),(480,1),(522,1),(535,1)}
       442:{1,3,4,7}:{(397,1),(398,1),(400,1),(473,1),(479,1)}
       443:{2,4,6}:{(398,1),(399,1),(401,1),(479,1),(480,1)}
       444:{1,4,5}:{(399,1),(402,1),(480,1)}
       445:{2,3,5,7}:{(400,1),(401,1),(404,1),(406,1),(479,1),(482,1),(530,1),(551,1)}
       446:{1,3,5,6}:{(401,1),(402,1),(405,1),(407,1),(480,1),(482,1),(483,1),(532,1)}
       447:{1,2,5}:{(402,1),(403,1)}
       448:{1,2,3,6}:{(403,1),(409,1),(484,1),(532,1)}
       449:{1,5,7}:{(404,1),(405,1),(410,1)}
       450:{1,3,6,7}:{(406,1),(407,1),(410,1),(482,1),(485,1)}
       451:{1,2,6}:{(407,1),(408,1)}
       452:{1,5,7}:{(411,1),(412,1),(420,1)}
       453:{1,4,5,6}:{(412,1),(414,1),(421,1),(486,1),(487,1)}
       454:{1,4,6,7}:{(413,1),(414,1),(422,1),(466,1),(486,1)}
       455:{1,3,4,6}:{(414,1),(415,1),(417,1),(423,1),(487,1),(489,1)}
       456:{2,4,5,7}:{(415,1),(418,1),(468,1),(489,1),(490,1),(521,1),(534,1)}
       457:{1,3,6,7}:{(416,1),(417,1),(424,1),(469,1),(491,1)}
       458:{2,3,6}:{(417,1),(418,1),(489,1),(492,1)}
       459:{1,3,5,7}:{(418,1),(419,1),(471,1),(490,1),(492,1),(493,1)}
       460:{1,2,4,7}:{(419,1),(472,1),(493,1),(494,1)}
       461:{2,4,5,7}:{(420,1),(421,1),(422,1),(426,1),(486,1),(495,1),(534,1)}
       462:{3,5,6}:{(421,1),(423,1),(495,1)}
       463:{3,4,6,7}:{(422,1),(423,1),(424,1),(473,1),(495,1)}
       464:{2,3,6,7}:{(424,1),(425,1),(476,1),(496,1)}
       465:{1,4,6,7}:{(425,1),(427,1),(478,1),(496,1)}
       466:{1,4,7}:{(428,1),(429,1),(435,1)}
       467:{1,3,4,6}:{(429,1),(430,1),(432,1),(436,1),(497,1),(498,1)}
       468:{2,4,5}:{(430,1),(433,1),(498,1),(499,1)}
       469:{1,3,5,7}:{(431,1),(432,1),(438,1),(457,1),(497,1),(500,1),(546,1)}
       470:{2,3,5,6}:{(432,1),(433,1),(458,1),(498,1),(500,1),(501,1),(508,1),(515,1),(544,1)}
       471:{1,3,5}:{(433,1),(434,1),(499,1),(502,1)}
       472:{1,2,4,6}:{(434,1),(460,1),(502,1),(503,1),(519,1),(542,1)}
       473:{3,4,7}:{(435,1),(436,1),(438,1)}
       474:{2,3,4,6}:{(436,1),(437,1),(439,1),(443,1),(498,1),(504,1),(505,1),(544,1)}
       475:{1,3,4,5}:{(437,1),(444,1),(499,1),(505,1),(506,1),(511,1),(540,1)}
       476:{2,3,5,7}:{(438,1),(439,1),(440,1),(464,1),(504,1),(507,1)}
       477:{1,3,5,6}:{(439,1),(441,1),(505,1),(507,1),(508,1)}
       478:{1,4,5,7}:{(440,1),(441,1),(449,1),(465,1),(507,1),(509,1),(538,1),(547,1)}
       479:{2,4,7}:{(442,1),(443,1),(445,1),(509,1)}
       480:{1,4,6}:{(443,1),(444,1),(446,1),(509,1)}
       481:{1,2,4,5}:{(444,1),(447,1),(506,1),(510,1),(511,1),(513,1)}
       482:{1,3,5,7}:{(445,1),(446,1),(449,1),(450,1),(509,1),(512,1),(546,1)}
       483:{1,2,5,6}:{(446,1),(447,1),(451,1),(508,1),(510,1),(512,1)}
       484:{1,2,3,5}:{(447,1),(448,1),(511,1),(513,1)}
       485:{1,2,6,7}:{(450,1),(451,1),(512,1),(520,1)}
       486:{1,4,5,7}:{(452,1),(453,1),(454,1),(461,1),(514,1)}
       487:{1,3,5,6}:{(453,1),(455,1),(462,1),(514,1),(515,1)}
       488:{1,3,4,6,7}:{(454,1),(455,1),(457,1),(463,1),(497,1),(514,1),(516,1)}
       489:{2,4,6}:{(455,1),(456,1),(458,1),(515,1),(517,1)}
       490:{1,4,5,7}:{(456,1),(459,1),(499,1),(517,1),(538,1),(547,1)}
       491:{2,3,6,7}:{(457,1),(458,1),(500,1),(516,1),(518,1),(520,1)}
       492:{1,3,6}:{(458,1),(459,1),(517,1),(519,1)}
       493:{1,2,5,7}:{(459,1),(460,1),(502,1),(519,1)}
       494:{1,2,3,7}:{(460,1),(503,1),(552,1)}
       495:{3,5,7}:{(461,1),(462,1),(463,1)}
       496:{1,3,6,7}:{(464,1),(465,1),(507,1),(520,1)}
       497:{1,3,4,7}:{(466,1),(467,1),(469,1),(473,1),(521,1)}
       498:{2,4,6}:{(467,1),(468,1),(470,1),(521,1),(522,1)}
       499:{1,4,5}:{(468,1),(471,1),(522,1)}
       500:{2,3,5,7}:{(469,1),(470,1),(491,1),(521,1),(524,1),(530,1),(534,1),(551,1)}
       501:{1,3,5,6}:{(470,1),(471,1),(492,1),(522,1),(524,1),(525,1),(535,1),(549,1)}
       502:{1,2,5}:{(471,1),(472,1)}
       503:{1,2,3,6}:{(472,1),(494,1),(526,1),(549,1)}
       504:{2,3,4,7}:{(473,1),(474,1),(476,1),(479,1),(521,1),(527,1),(551,1)}
       505:{1,3,4,6}:{(474,1),(475,1),(477,1),(480,1),(522,1),(527,1),(528,1),(532,1),(549,1)}
       506:{2,4,5}:{(475,1),(528,1),(529,1)}
       507:{1,3,5,7}:{(476,1),(477,1),(478,1),(496,1),(527,1),(530,1)}
       508:{2,5,6}:{(477,1),(528,1),(530,1)}
       509:{1,4,7}:{(479,1),(480,1),(482,1)}
       510:{1,2,4,6}:{(480,1),(481,1),(483,1),(528,1),(531,1),(532,1)}
       511:{1,3,5}:{(481,1),(529,1),(532,1),(533,1)}
       512:{1,2,5,7}:{(482,1),(483,1),(485,1),(530,1),(531,1)}
       513:{1,2,4}:{(484,1),(533,1)}
       514:{1,3,5,7}:{(486,1),(487,1),(488,1),(495,1),(534,1)}
       515:{2,5,6}:{(487,1),(489,1),(534,1),(535,1)}
       516:{2,4,6,7}:{(488,1),(489,1),(491,1),(521,1),(534,1),(536,1)}
       517:{1,4,6}:{(489,1),(490,1),(492,1),(535,1)}
       518:{1,3,6,7}:{(491,1),(492,1),(524,1),(536,1),(537,1)}
       519:{1,2,6}:{(492,1),(493,1)}
       520:{2,6,7}:{(496,1),(530,1)}
       521:{2,4,7}:{(497,1),(498,1),(500,1),(538,1)}
       522:{1,4,6}:{(498,1),(499,1),(501,1),(538,1)}
       523:{1,2,4,5}:{(499,1),(502,1),(506,1),(539,1),(540,1),(542,1)}
       524:{1,3,5,7}:{(500,1),(501,1),(518,1),(538,1),(541,1),(547,1),(552,1)}
       525:{1,2,5,6}:{(501,1),(502,1),(508,1),(519,1),(539,1),(541,1)}
       526:{1,2,3,5}:{(502,1),(503,1),(540,1),(542,1)}
       527:{1,3,4,7}:{(504,1),(505,1),(507,1),(509,1),(538,1),(543,1),(546,1),(552,1)}
       528:{2,4,6}:{(505,1),(506,1),(508,1),(543,1),(544,1)}
       529:{2,3,5}:{(506,1),(511,1),(540,1),(544,1),(545,1)}
       530:{2,5,7}:{(507,1),(508,1),(520,1),(543,1)}
       531:{1,2,4,7}:{(509,1),(510,1),(512,1),(543,1),(546,1)}
       532:{1,3,6}:{(510,1),(511,1),(544,1),(546,1)}
       533:{1,3,4}:{(511,1),(513,1),(545,1)}
       534:{2,5,7}:{(514,1),(515,1),(516,1),(547,1)}
       535:{1,5,6}:{(515,1),(517,1),(547,1)}
       536:{1,4,6,7}:{(516,1),(517,1),(518,1),(538,1),(547,1)}
       537:{1,2,6,7}:{(518,1),(519,1),(520,1),(541,1)}
       538:{1,4,7}:{(521,1),(522,1),(524,1)}
       539:{1,2,4,6}:{(522,1),(523,1),(525,1),(528,1),(548,1),(549,1)}
       540:{1,3,5}:{(523,1),(529,1),(549,1),(550,1)}
       541:{1,2,5,7}:{(524,1),(525,1),(530,1),(537,1),(548,1)}
       542:{1,2,4}:{(526,1),(550,1)}
       543:{2,4,7}:{(527,1),(528,1),(530,1),(551,1)}
       544:{2,3,6}:{(528,1),(529,1),(532,1),(549,1),(551,1)}
       545:{2,3,4}:{(529,1),(533,1),(550,1)}
       546:{1,3,7}:{(531,1),(532,1),(551,1)}
       547:{1,5,7}:{(534,1),(535,1),(536,1)}
       548:{1,2,4,7}:{(538,1),(539,1),(541,1),(543,1),(552,1)}
       549:{1,3,6}:{(539,1),(540,1),(544,1),(552,1)}
       550:{1,3,4}:{(540,1),(542,1),(545,1)}
       551:{2,3,7}:{(543,1),(544,1),(546,1),(552,1)}
       552:{1,3,7}:{(548,1),(549,1),(551,1)}

1974 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(99,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(66,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(110,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(66,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(63,1),(66,1),(94,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(81,1),(120,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(49,1),(100,1),(119,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(49,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(46,1),(54,1),(81,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(49,1),(80,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(113,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(93,1),(113,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(64,1),(87,1),(112,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(66,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(60,1),(68,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(70,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(66,1),(72,1),(94,1),(98,1)}
        26:{1,2,3,6}:{(14,1),(41,1),(42,1),(102,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(42,1),(44,1),(45,1),(73,1),(78,1),(102,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(43,1),(44,1),(45,1)}
        30:{2,3,5}:{(16,1),(18,1),(44,1),(46,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(45,1)}
        32:{1,4,5}:{(18,1),(46,1),(49,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(47,1),(49,1),(50,1),(108,1),(119,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(48,1),(50,1),(122,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(51,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(54,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(48,1),(52,1),(54,1),(81,1)}
        39:{1,4,5,6}:{(24,1),(49,1),(53,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        41:{1,2,3,5}:{(26,1),(57,1),(58,1),(88,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(57,1),(58,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(29,1),(58,1),(59,1)}
        44:{1,3,5}:{(28,1),(30,1),(58,1),(60,1)}
        45:{1,3,6}:{(29,1),(31,1),(36,1),(59,1)}
        46:{2,4,5}:{(30,1),(32,1),(60,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(61,1),(64,1),(65,1),(70,1),(96,1),(112,1)}
        48:{2,3,6,7}:{(31,1),(34,1),(38,1),(62,1),(65,1),(98,1),(116,1)}
        49:{1,4,6}:{(32,1),(33,1),(64,1),(66,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1),(117,1),(124,1)}
        51:{1,5,6}:{(36,1),(37,1),(68,1)}
        52:{1,4,6,7}:{(36,1),(38,1),(62,1),(68,1),(93,1)}
        53:{2,4,5,6}:{(37,1),(39,1),(64,1),(67,1),(70,1),(71,1),(96,1)}
        54:{2,5,7}:{(37,1),(38,1),(40,1),(68,1)}
        55:{1,3,5,6,7}:{(40,1),(69,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(66,1),(71,1),(72,1),(117,1)}
        57:{1,2,4}:{(41,1),(73,1)}
        58:{1,2,5}:{(42,1),(44,1)}
        59:{1,2,6}:{(43,1),(45,1)}
        60:{1,4,5}:{(44,1),(46,1),(78,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(51,1),(75,1),(78,1),(79,1),(102,1)}
        62:{1,3,6,7}:{(45,1),(48,1),(52,1),(76,1),(79,1)}
        63:{3,4,5}:{(46,1),(80,1)}
        64:{2,4,6}:{(46,1),(47,1),(49,1),(78,1),(80,1),(81,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(54,1),(79,1),(81,1),(86,1),(109,1),(120,1)}
        66:{1,4,7}:{(49,1),(50,1),(81,1)}
        67:{1,4,5,6}:{(51,1),(53,1),(78,1),(83,1),(84,1)}
        68:{1,5,7}:{(51,1),(52,1),(54,1)}
        69:{2,5,6,7}:{(54,1),(55,1),(82,1),(85,1)}
        70:{3,5,6}:{(53,1),(80,1),(86,1)}
        71:{2,4,5,7}:{(53,1),(54,1),(56,1),(81,1),(84,1),(85,1),(86,1),(109,1)}
        72:{1,4,6,7}:{(55,1),(56,1),(85,1),(122,1)}
        73:{1,3,4}:{(57,1),(87,1),(88,1)}
        74:{1,2,4,5}:{(57,1),(58,1),(60,1),(88,1),(89,1),(91,1)}
        75:{1,2,5,6}:{(58,1),(59,1),(61,1),(89,1),(90,1),(96,1)}
        76:{1,2,6,7}:{(59,1),(62,1),(90,1),(116,1)}
        77:{1,3,4,5}:{(60,1),(63,1),(88,1),(91,1),(92,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(93,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1),(93,1),(113,1)}
        80:{3,4,6}:{(63,1),(64,1),(70,1),(94,1)}
        81:{2,4,7}:{(64,1),(65,1),(66,1),(93,1),(94,1)}
        82:{1,5,6,7}:{(68,1),(69,1),(95,1)}
        83:{1,3,5,6}:{(67,1),(70,1),(92,1),(96,1),(97,1)}
        84:{1,4,5,7}:{(67,1),(68,1),(71,1),(93,1),(95,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(71,1),(72,1),(95,1),(98,1),(116,1)}
        86:{3,5,7}:{(70,1),(71,1),(94,1),(98,1)}
        87:{2,3,4}:{(73,1),(100,1),(101,1)}
        88:{1,3,5}:{(73,1),(74,1),(101,1),(102,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(78,1),(102,1),(103,1),(105,1)}
        90:{1,2,5,7}:{(75,1),(76,1),(79,1),(103,1),(109,1)}
        91:{2,4,5}:{(77,1),(101,1),(104,1),(105,1)}
        92:{1,3,4,6}:{(77,1),(78,1),(80,1),(83,1),(102,1),(105,1),(106,1)}
        93:{1,4,7}:{(78,1),(79,1),(81,1)}
        94:{3,4,7}:{(80,1),(81,1),(86,1)}
        95:{1,4,6,7}:{(82,1),(84,1),(85,1),(107,1)}
        96:{2,5,6}:{(83,1),(105,1),(108,1),(109,1)}
        97:{1,3,5,7}:{(83,1),(84,1),(86,1),(106,1),(107,1),(109,1)}
        98:{3,6,7}:{(85,1),(86,1)}
        99:{1,2,3}:{(110,1)}
       100:{1,3,4}:{(87,1),(110,1),(111,1)}
       101:{2,3,5}:{(87,1),(88,1),(91,1),(111,1),(112,1)}
       102:{1,3,6}:{(88,1),(89,1),(112,1),(113,1)}
       103:{1,2,4,7}:{(89,1),(90,1),(93,1),(113,1),(115,1)}
       104:{1,4,5}:{(91,1),(111,1),(114,1)}
       105:{2,4,6}:{(91,1),(92,1),(96,1),(112,1),(114,1),(115,1)}
       106:{1,3,4,7}:{(92,1),(93,1),(94,1),(97,1),(113,1),(115,1)}
       107:{1,3,6,7}:{(95,1),(97,1),(98,1),(116,1)}
       108:{1,5,6}:{(96,1),(114,1),(117,1)}
       109:{2,5,7}:{(96,1),(97,1),(115,1),(116,1),(117,1)}
       110:{1,2,4}:{(99,1),(100,1),(118,1)}
       111:{1,3,5}:{(100,1),(101,1),(104,1),(118,1),(119,1)}
       112:{2,3,6}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(120,1)}
       114:{1,4,6}:{(104,1),(105,1),(108,1),(119,1),(121,1)}
       115:{2,4,7}:{(105,1),(106,1),(109,1),(120,1),(121,1)}
       116:{2,6,7}:{(107,1),(109,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(121,1),(122,1)}
       118:{1,2,5}:{(110,1),(111,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       120:{2,3,7}:{(112,1),(113,1),(115,1),(124,1)}
       121:{1,4,7}:{(114,1),(115,1),(117,1),(124,1)}
       122:{1,6,7}:{(116,1),(117,1)}
       123:{1,2,6}:{(118,1),(119,1),(125,1)}
       124:{1,3,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

1975 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(120,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(66,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(66,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(112,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(65,1),(66,1),(94,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(80,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(50,1),(102,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(50,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(48,1),(54,1),(80,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(50,1),(81,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(109,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(91,1),(109,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(64,1),(90,1),(110,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(66,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(62,1),(69,1),(91,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(66,1),(68,1),(94,1),(96,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(72,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(42,1)}
        27:{1,2,3,6}:{(14,1),(42,1),(43,1),(100,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(41,1),(44,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(42,1),(44,1),(45,1),(76,1),(78,1),(100,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(44,1)}
        31:{2,3,5}:{(17,1),(19,1),(45,1),(48,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(46,1),(49,1),(122,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(47,1),(49,1),(50,1),(108,1),(118,1)}
        34:{1,4,5}:{(19,1),(48,1),(50,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(49,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(44,1),(53,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(46,1),(52,1),(54,1),(80,1)}
        38:{2,5,6}:{(23,1),(25,1),(53,1),(54,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(50,1),(55,1),(56,1),(108,1)}
        41:{1,2,5,7}:{(26,1),(28,1),(57,1),(58,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,2,3,5}:{(27,1),(58,1),(59,1),(89,1)}
        44:{1,3,6}:{(28,1),(30,1),(36,1),(57,1)}
        45:{1,3,5}:{(29,1),(31,1),(58,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(37,1),(60,1),(63,1),(96,1),(115,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(61,1),(63,1),(64,1),(72,1),(98,1),(110,1)}
        48:{2,4,5}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(35,1),(63,1),(66,1),(116,1),(123,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(66,1)}
        51:{1,3,5,6,7}:{(39,1),(67,1),(68,1),(96,1)}
        52:{1,4,6,7}:{(36,1),(37,1),(60,1),(69,1),(91,1)}
        53:{1,5,6}:{(36,1),(38,1),(69,1)}
        54:{2,5,7}:{(37,1),(38,1),(39,1),(69,1)}
        55:{2,4,5,6}:{(38,1),(40,1),(64,1),(70,1),(71,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(66,1),(68,1),(71,1),(116,1)}
        57:{1,2,6}:{(41,1),(44,1)}
        58:{1,2,5}:{(42,1),(45,1)}
        59:{1,2,4}:{(43,1),(76,1)}
        60:{1,3,6,7}:{(44,1),(46,1),(52,1),(73,1),(77,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(53,1),(74,1),(77,1),(78,1),(100,1)}
        62:{1,4,5}:{(45,1),(48,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(49,1),(54,1),(77,1),(80,1),(86,1),(107,1),(117,1)}
        64:{2,4,6}:{(47,1),(48,1),(50,1),(78,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,4,7}:{(49,1),(50,1),(80,1)}
        67:{2,5,6,7}:{(51,1),(54,1),(82,1),(83,1)}
        68:{1,4,6,7}:{(51,1),(56,1),(83,1),(122,1)}
        69:{1,5,7}:{(52,1),(53,1),(54,1)}
        70:{1,4,5,6}:{(53,1),(55,1),(78,1),(84,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(56,1),(80,1),(83,1),(84,1),(86,1),(107,1)}
        72:{3,5,6}:{(55,1),(81,1),(86,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(115,1)}
        74:{1,2,5,6}:{(57,1),(58,1),(61,1),(87,1),(88,1),(98,1)}
        75:{1,2,4,5}:{(58,1),(59,1),(62,1),(88,1),(89,1),(93,1)}
        76:{1,3,4}:{(59,1),(89,1),(90,1)}
        77:{1,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(87,1),(91,1),(109,1)}
        78:{1,4,6}:{(61,1),(62,1),(64,1),(91,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(89,1),(92,1),(93,1)}
        80:{2,4,7}:{(63,1),(64,1),(66,1),(91,1),(94,1)}
        81:{3,4,6}:{(64,1),(65,1),(72,1),(94,1)}
        82:{1,5,6,7}:{(67,1),(69,1),(95,1)}
        83:{2,4,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1),(115,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(91,1),(95,1),(97,1)}
        85:{1,3,5,6}:{(70,1),(72,1),(92,1),(97,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(94,1),(96,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(77,1),(99,1),(107,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(78,1),(99,1),(100,1),(104,1)}
        89:{1,3,5}:{(75,1),(76,1),(100,1),(101,1)}
        90:{2,3,4}:{(76,1),(101,1),(102,1)}
        91:{1,4,7}:{(77,1),(78,1),(80,1)}
        92:{1,3,4,6}:{(78,1),(79,1),(81,1),(85,1),(100,1),(103,1),(104,1)}
        93:{2,4,5}:{(79,1),(101,1),(104,1),(105,1)}
        94:{3,4,7}:{(80,1),(81,1),(86,1)}
        95:{1,4,6,7}:{(82,1),(83,1),(84,1),(106,1)}
        96:{3,6,7}:{(83,1),(86,1)}
        97:{1,3,5,7}:{(84,1),(85,1),(86,1),(103,1),(106,1),(107,1)}
        98:{2,5,6}:{(85,1),(104,1),(107,1),(108,1)}
        99:{1,2,4,7}:{(87,1),(88,1),(91,1),(109,1),(113,1)}
       100:{1,3,6}:{(88,1),(89,1),(109,1),(110,1)}
       101:{2,3,5}:{(89,1),(90,1),(93,1),(110,1),(111,1)}
       102:{1,3,4}:{(90,1),(111,1),(112,1)}
       103:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(109,1),(113,1)}
       104:{2,4,6}:{(92,1),(93,1),(98,1),(110,1),(113,1),(114,1)}
       105:{1,4,5}:{(93,1),(111,1),(114,1)}
       106:{1,3,6,7}:{(95,1),(96,1),(97,1),(115,1)}
       107:{2,5,7}:{(97,1),(98,1),(113,1),(115,1),(116,1)}
       108:{1,5,6}:{(98,1),(114,1),(116,1)}
       109:{1,3,7}:{(99,1),(100,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(104,1),(117,1),(118,1)}
       111:{1,3,5}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,2,4}:{(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(103,1),(104,1),(107,1),(117,1),(121,1)}
       114:{1,4,6}:{(104,1),(105,1),(108,1),(118,1),(121,1)}
       115:{2,6,7}:{(106,1),(107,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(121,1),(122,1)}
       117:{2,3,7}:{(109,1),(110,1),(113,1),(123,1)}
       118:{1,3,6}:{(110,1),(111,1),(114,1),(123,1),(124,1)}
       119:{1,2,5}:{(111,1),(112,1),(124,1)}
       120:{1,2,3}:{(112,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(123,1)}
       122:{1,6,7}:{(115,1),(116,1)}
       123:{1,3,7}:{(117,1),(118,1),(121,1),(125,1)}
       124:{1,2,6}:{(118,1),(119,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

1976 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(39,1),(42,1),(74,1),(81,1),(87,1),(88,1),(137,1),(177,1),(185,1),(216,1),(217,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(65,1),(105,1),(115,1),(158,1),(163,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(63,1),(65,1),(101,1),(109,1),(158,1),(166,1),(202,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(56,1),(102,1),(108,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(43,1),(77,1),(129,1),(136,1),(182,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(216,1),(222,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(44,1),(88,1),(137,1),(185,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(131,1),(188,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(34,1),(79,1),(81,1),(86,1),(87,1),(137,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(69,1),(99,1),(119,1),(152,1),(163,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(53,1),(57,1),(65,1),(99,1),(107,1),(163,1),(167,1),(205,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(56,1),(118,1),(231,1),(234,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(162,1),(202,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(202,1),(208,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(108,1),(205,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(65,1),(109,1),(114,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(56,1),(68,1),(108,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(47,1),(72,1),(91,1),(136,1),(146,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(73,1),(176,1),(185,1),(214,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(35,1),(36,1),(135,1),(185,1),(189,1)}
        21:{2,3,4,6}:{(14,1),(34,1),(37,1),(38,1),(79,1),(86,1),(139,1),(187,1),(222,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(40,1),(41,1),(43,1),(80,1),(82,1),(140,1),(145,1),(188,1),(191,1)}
        23:{2,4,5}:{(11,1),(14,1),(34,1),(42,1),(81,1),(139,1)}
        24:{1,4,5,7}:{(12,1),(35,1),(39,1),(43,1),(129,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(36,1),(40,1),(43,1),(44,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,4,6}:{(14,1),(17,1),(42,1),(45,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(44,1),(47,1),(79,1),(137,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(45,1),(47,1),(48,1),(91,1),(93,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(81,1),(137,1)}
        31:{1,4,6,7}:{(18,1),(20,1),(50,1),(162,1),(170,1)}
        32:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(52,1),(99,1),(103,1),(119,1),(157,1),(166,1),(170,1),(200,1),(203,1)}
        33:{1,3,6,7}:{(19,1),(52,1),(53,1),(196,1),(205,1)}
        34:{2,3,5}:{(21,1),(23,1),(56,1),(207,1),(234,1)}
        35:{2,4,5,7}:{(20,1),(24,1),(50,1),(54,1),(57,1),(65,1),(99,1)}
        36:{3,4,6,7}:{(20,1),(57,1),(106,1),(205,1),(208,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(55,1),(59,1),(114,1),(165,1),(208,1)}
        38:{1,3,4,6}:{(21,1),(27,1),(56,1),(59,1),(60,1),(68,1),(102,1),(108,1),(118,1),(155,1),(199,1)}
        39:{1,4,5,6}:{(24,1),(54,1),(61,1),(152,1),(162,1),(209,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(62,1),(106,1),(108,1),(162,1),(205,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(26,1),(55,1),(62,1),(63,1),(65,1),(109,1),(165,1),(207,1)}
        42:{1,4,5}:{(23,1),(27,1),(56,1),(155,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(57,1),(61,1),(65,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(28,1),(62,1),(65,1),(66,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,4,6}:{(27,1),(30,1),(60,1),(64,1),(67,1),(68,1)}
        47:{1,3,6,7}:{(28,1),(29,1),(66,1),(69,1),(108,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(67,1),(69,1),(109,1)}
        49:{1,2,4,5,6}:{(32,1),(70,1),(71,1),(122,1),(125,1),(143,1),(172,1),(176,1),(185,1),(190,1),(210,1),(212,1),(214,1),(223,1),(244,1)}
        50:{1,4,5,7}:{(31,1),(35,1),(71,1),(72,1),(91,1)}
        51:{1,3,4,6,7}:{(31,1),(33,1),(36,1),(72,1),(73,1),(75,1),(124,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(75,1),(76,1),(188,1),(221,1)}
        53:{2,3,6,7}:{(33,1),(73,1),(76,1),(77,1),(175,1),(214,1)}
        54:{2,4,5,6}:{(35,1),(39,1),(71,1),(78,1),(87,1),(125,1),(135,1),(185,1),(223,1)}
        55:{2,3,5,7}:{(34,1),(37,1),(41,1),(79,1),(80,1),(188,1)}
        56:{1,3,5}:{(34,1),(38,1),(42,1),(81,1),(217,1)}
        57:{3,5,7}:{(35,1),(36,1),(78,1)}
        58:{2,3,4,6,7}:{(36,1),(37,1),(44,1),(73,1),(79,1),(83,1),(84,1),(132,1),(135,1),(142,1),(175,1),(187,1),(189,1),(222,1),(238,1)}
        59:{1,3,4,7}:{(37,1),(38,1),(45,1),(80,1),(85,1),(93,1),(131,1),(179,1)}
        60:{2,4,6}:{(38,1),(81,1),(85,1),(86,1),(137,1),(139,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(87,1),(191,1)}
        62:{2,4,6}:{(40,1),(41,1),(79,1),(87,1),(88,1),(137,1)}
        63:{1,4,5,7}:{(41,1),(42,1),(45,1),(80,1),(88,1),(91,1),(179,1),(217,1)}
        64:{1,2,4,5}:{(42,1),(46,1),(81,1),(90,1),(139,1)}
        65:{2,5,7}:{(43,1),(44,1),(87,1),(91,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(47,1),(88,1),(91,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(85,1),(93,1)}
        68:{1,3,6}:{(46,1),(86,1),(90,1),(93,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(137,1)}
        70:{1,3,5,6}:{(49,1),(52,1),(94,1),(95,1),(192,1),(196,1),(205,1),(227,1),(234,1)}
        71:{1,4,5,6}:{(50,1),(54,1),(96,1),(115,1),(162,1),(231,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(57,1),(96,1),(99,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(99,1),(100,1),(103,1),(151,1)}
        74:{1,2,4,6}:{(60,1),(97,1),(101,1),(102,1),(153,1),(155,1),(199,1)}
        75:{1,3,4,7}:{(52,1),(94,1),(103,1),(170,1),(208,1)}
        76:{2,3,5,7}:{(52,1),(53,1),(95,1),(99,1),(103,1),(104,1),(200,1),(204,1)}
        77:{1,3,6,7}:{(53,1),(100,1),(104,1),(105,1),(196,1)}
        78:{3,5,6}:{(54,1),(57,1),(106,1),(205,1),(234,1)}
        79:{2,3,6}:{(55,1),(62,1),(108,1),(205,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(59,1),(63,1),(108,1),(109,1)}
        81:{2,5}:{(56,1),(60,1)}
        82:{3,4,5,7}:{(57,1),(106,1),(111,1),(208,1),(234,1)}
        83:{2,3,5,7}:{(57,1),(58,1),(65,1),(99,1),(107,1),(111,1),(112,1),(207,1),(234,1),(243,1)}
        84:{1,3,4,6,7}:{(58,1),(59,1),(66,1),(100,1),(108,1),(112,1),(113,1),(120,1),(159,1),(160,1),(162,1),(169,1),(170,1),(196,1),(199,1),(202,1),(205,1),(208,1),(230,1),(242,1)}
        85:{2,4,7}:{(59,1),(60,1),(109,1),(114,1)}
        86:{2,3,6}:{(60,1),(68,1),(102,1),(110,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(207,1)}
        88:{1,4,6}:{(62,1),(63,1),(108,1),(115,1)}
        89:{1,2,4,5,7}:{(63,1),(64,1),(67,1),(109,1),(116,1),(117,1),(119,1),(165,1),(166,1),(170,1),(207,1),(209,1)}
        90:{1,3,5}:{(64,1),(68,1),(110,1),(118,1)}
        91:{1,5,7}:{(65,1),(66,1),(115,1)}
        92:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(113,1),(116,1),(119,1),(120,1),(170,1),(203,1),(228,1),(242,1)}
        93:{1,3,7}:{(67,1),(68,1),(114,1)}
        94:{1,3,4,6}:{(70,1),(75,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(76,1),(122,1),(123,1),(125,1),(171,1),(175,1),(210,1),(213,1),(214,1)}
        96:{1,3,5,6}:{(71,1),(72,1),(78,1),(124,1),(125,1),(239,1)}
        97:{1,2,5}:{(74,1),(81,1),(127,1),(217,1)}
        98:{1,3,4,5,7}:{(72,1),(75,1),(82,1),(121,1),(124,1),(128,1),(140,1),(180,1),(188,1),(220,1),(239,1)}
        99:{2,5,7}:{(72,1),(73,1),(125,1),(129,1)}
       100:{1,4,6,7}:{(73,1),(77,1),(129,1),(133,1),(176,1)}
       101:{1,2,4,7}:{(74,1),(85,1),(126,1),(131,1),(179,1)}
       102:{1,3,6}:{(74,1),(86,1),(127,1),(131,1)}
       103:{2,4,7}:{(75,1),(76,1),(122,1),(133,1)}
       104:{1,3,5,7}:{(76,1),(77,1),(123,1),(129,1),(133,1),(134,1),(184,1)}
       105:{1,2,6,7}:{(77,1),(134,1),(214,1)}
       106:{3,4,6}:{(78,1),(82,1),(135,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(87,1),(125,1),(135,1),(136,1),(175,1)}
       108:{1,3,6}:{(79,1),(80,1),(88,1),(137,1)}
       109:{2,5,7}:{(80,1),(81,1),(85,1),(137,1)}
       110:{2,3,5}:{(81,1),(86,1),(90,1),(127,1),(139,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(135,1),(140,1),(189,1),(223,1)}
       112:{1,3,5,7}:{(83,1),(84,1),(91,1),(129,1),(136,1),(140,1),(141,1),(188,1),(191,1),(217,1),(239,1),(244,1)}
       113:{2,4,6,7}:{(84,1),(85,1),(137,1),(141,1),(142,1),(183,1),(185,1),(187,1),(189,1),(214,1),(238,1)}
       114:{2,3,7}:{(85,1),(86,1),(93,1),(131,1)}
       115:{1,5,6}:{(87,1),(88,1),(91,1),(217,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(137,1),(143,1),(144,1),(185,1),(187,1),(190,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(144,1),(145,1),(188,1),(191,1)}
       118:{1,3,4}:{(90,1),(139,1)}
       119:{1,2,5,7}:{(91,1),(92,1),(141,1),(143,1),(146,1),(244,1)}
       120:{1,3,6,7}:{(92,1),(93,1),(142,1),(144,1),(146,1),(221,1),(237,1)}
       121:{1,3,4,5}:{(94,1),(147,1),(192,1),(209,1),(226,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(103,1),(147,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(104,1),(149,1),(150,1),(152,1),(192,1),(195,1),(196,1)}
       124:{1,3,4,6}:{(96,1),(98,1),(106,1),(151,1),(162,1),(196,1),(205,1)}
       125:{2,5,6}:{(96,1),(99,1),(151,1),(152,1),(243,1)}
       126:{1,2,5,7}:{(97,1),(101,1),(109,1),(153,1),(154,1)}
       127:{1,3,5}:{(97,1),(102,1),(110,1),(155,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(103,1),(147,1),(151,1),(156,1),(157,1),(200,1),(233,1),(243,1)}
       129:{1,5,7}:{(99,1),(100,1),(152,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(105,1),(113,1),(153,1),(158,1),(159,1),(161,1),(197,1),(199,1),(202,1)}
       131:{1,3,7}:{(101,1),(102,1),(114,1)}
       132:{2,3,4,7}:{(103,1),(148,1),(156,1),(160,1),(204,1),(208,1),(233,1)}
       133:{1,4,7}:{(103,1),(104,1),(149,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(150,1),(161,1),(200,1)}
       135:{2,4,6}:{(106,1),(107,1),(111,1),(162,1)}
       136:{1,3,5,6}:{(107,1),(108,1),(112,1),(115,1),(152,1),(162,1),(163,1),(196,1),(205,1)}
       137:{2,6}:{(108,1),(109,1)}
       138:{2,3,5,7}:{(109,1),(110,1),(114,1),(117,1),(154,1),(164,1),(165,1),(207,1)}
       139:{2,4}:{(110,1),(118,1),(155,1)}
       140:{1,4,5,7}:{(111,1),(112,1),(162,1),(166,1),(170,1),(202,1),(209,1),(231,1)}
       141:{2,5,7}:{(112,1),(113,1),(163,1),(207,1),(243,1)}
       142:{2,3,6,7}:{(113,1),(114,1),(120,1),(159,1),(164,1),(167,1),(204,1),(205,1),(229,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(119,1),(163,1),(168,1),(207,1),(228,1)}
       144:{1,3,6}:{(116,1),(117,1),(164,1),(205,1)}
       145:{1,3,4,7}:{(117,1),(118,1),(165,1),(169,1),(170,1),(208,1)}
       146:{1,3,5,7}:{(119,1),(120,1),(167,1),(168,1),(170,1)}
       147:{2,4,5}:{(121,1),(122,1),(171,1),(172,1),(210,1),(236,1)}
       148:{2,3,4,6}:{(122,1),(132,1),(171,1),(173,1),(175,1),(213,1),(222,1),(236,1),(238,1)}
       149:{1,4,6}:{(122,1),(123,1),(133,1),(172,1)}
       150:{1,2,5,6}:{(123,1),(134,1),(174,1),(210,1),(214,1)}
       151:{2,4,6}:{(124,1),(125,1),(128,1),(175,1),(176,1),(214,1)}
       152:{1,5,6}:{(125,1),(129,1),(176,1),(244,1)}
       153:{1,2,6}:{(126,1),(137,1),(178,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(131,1),(138,1),(178,1),(179,1),(217,1)}
       155:{1,4}:{(127,1),(139,1)}
       156:{2,3,5,7}:{(128,1),(132,1),(171,1),(175,1),(180,1),(188,1)}
       157:{1,4,5,7}:{(128,1),(129,1),(133,1),(172,1),(176,1),(180,1),(240,1),(244,1)}
       158:{1,2,5,7}:{(129,1),(130,1),(141,1),(177,1),(182,1),(217,1)}
       159:{1,3,6,7}:{(130,1),(131,1),(142,1),(178,1),(182,1),(184,1),(215,1)}
       160:{1,3,4,7}:{(132,1),(133,1),(173,1),(180,1),(183,1),(184,1),(221,1),(240,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(174,1),(183,1),(184,1)}
       162:{1,4,6}:{(135,1),(136,1),(140,1),(185,1)}
       163:{2,5,6}:{(136,1),(137,1),(141,1),(185,1),(214,1)}
       164:{2,3,6}:{(137,1),(138,1),(144,1),(178,1),(187,1)}
       165:{2,4,7}:{(138,1),(139,1),(145,1),(179,1),(187,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(185,1),(188,1),(189,1),(223,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(146,1),(182,1),(186,1),(188,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(146,1),(186,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,3,4,6}:{(144,1),(145,1),(187,1),(190,1),(191,1),(222,1)}
       170:{1,4,7}:{(146,1),(189,1),(190,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,4,5}:{(147,1),(149,1),(192,1),(241,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(160,1),(192,1),(194,1),(195,1),(196,1),(226,1),(227,1),(241,1),(242,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(161,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(156,1),(196,1),(205,1)}
       176:{1,4,6}:{(151,1),(152,1),(157,1),(196,1)}
       177:{1,2,5,6}:{(152,1),(153,1),(158,1),(163,1),(197,1),(198,1),(243,1)}
       178:{1,3,6}:{(153,1),(154,1),(164,1),(199,1)}
       179:{1,4,7}:{(154,1),(155,1),(165,1),(199,1)}
       180:{1,3,5,7}:{(156,1),(157,1),(160,1),(192,1),(196,1),(200,1)}
       181:{1,2,4,5,7}:{(157,1),(158,1),(161,1),(166,1),(193,1),(197,1),(200,1),(201,1),(202,1),(231,1),(233,1),(243,1)}
       182:{1,3,5,7}:{(158,1),(159,1),(167,1),(198,1),(202,1)}
       183:{2,4,7}:{(160,1),(194,1),(200,1),(204,1)}
       184:{1,3,7}:{(161,1),(195,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(166,1),(205,1)}
       186:{2,3,5,6}:{(163,1),(164,1),(167,1),(168,1),(198,1),(205,1),(206,1),(207,1),(229,1),(234,1),(243,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(199,1),(207,1)}
       188:{3,5,7}:{(166,1),(205,1),(208,1),(234,1)}
       189:{2,4,7}:{(167,1),(170,1),(202,1),(206,1),(208,1)}
       190:{1,4,6}:{(168,1),(170,1),(206,1),(209,1)}
       191:{1,3,5}:{(169,1),(207,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(210,1),(244,1)}
       193:{1,2,4,5}:{(172,1),(174,1),(210,1),(211,1),(236,1)}
       194:{2,4,6}:{(173,1),(183,1),(210,1),(213,1),(214,1),(236,1)}
       195:{1,3,6}:{(174,1),(184,1),(211,1),(213,1)}
       196:{1,3,6}:{(175,1),(176,1),(180,1),(214,1)}
       197:{1,2,4,6}:{(176,1),(177,1),(181,1),(185,1),(214,1),(215,1),(216,1),(238,1)}
       198:{1,3,5,6}:{(177,1),(178,1),(182,1),(186,1),(215,1),(216,1),(217,1),(239,1)}
       199:{1,4,6}:{(178,1),(179,1),(187,1),(217,1)}
       200:{2,5,7}:{(180,1),(183,1),(210,1),(214,1)}
       201:{1,3,5,7}:{(181,1),(184,1),(188,1),(211,1),(215,1),(219,1),(220,1),(239,1)}
       202:{1,4,7}:{(182,1),(189,1),(216,1)}
       203:{1,2,4,7}:{(183,1),(212,1),(218,1),(221,1),(240,1)}
       204:{2,3,7}:{(183,1),(184,1),(213,1),(221,1)}
       205:{3,6}:{(185,1),(188,1)}
       206:{2,4,6}:{(186,1),(189,1),(190,1),(216,1),(222,1),(223,1)}
       207:{2,5}:{(187,1),(191,1),(217,1)}
       208:{3,4,7}:{(188,1),(189,1),(222,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{2,5}:{(192,1),(194,1)}
       211:{1,3,5}:{(193,1),(195,1),(225,1),(226,1)}
       212:{1,2,4,6}:{(194,1),(203,1),(224,1),(227,1),(228,1),(241,1),(242,1)}
       213:{2,3,6}:{(194,1),(195,1),(204,1),(225,1),(227,1)}
       214:{2,6}:{(196,1),(200,1)}
       215:{1,3,6}:{(197,1),(201,1),(205,1),(229,1)}
       216:{1,4,6}:{(198,1),(202,1),(206,1),(231,1)}
       217:{1,5}:{(199,1),(207,1)}
       218:{1,2,5,7}:{(200,1),(203,1),(224,1),(228,1),(232,1)}
       219:{2,3,5,7}:{(200,1),(201,1),(204,1),(225,1),(229,1),(232,1),(233,1),(243,1)}
       220:{1,3,4,7}:{(201,1),(202,1),(208,1),(226,1),(230,1),(233,1)}
       221:{1,3,7}:{(203,1),(204,1),(227,1)}
       222:{3,4,6}:{(205,1),(206,1),(208,1),(234,1)}
       223:{2,4,5}:{(206,1),(207,1),(209,1),(231,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(212,1),(235,1),(244,1)}
       225:{2,3,5}:{(210,1),(211,1),(213,1),(235,1),(236,1)}
       226:{1,3,4}:{(211,1),(236,1)}
       227:{1,3,6}:{(212,1),(213,1),(221,1),(235,1)}
       228:{1,2,6}:{(214,1),(218,1),(237,1)}
       229:{2,3,6}:{(214,1),(215,1),(219,1),(237,1),(238,1)}
       230:{1,3,4,6}:{(215,1),(216,1),(220,1),(222,1),(238,1),(239,1)}
       231:{1,4,5}:{(216,1),(217,1),(223,1),(239,1)}
       232:{1,3,5,7}:{(218,1),(219,1),(221,1),(235,1),(237,1),(240,1),(244,1)}
       233:{2,4,7}:{(219,1),(220,1),(236,1),(238,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{2,4}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(232,1),(242,1)}
       238:{2,4,6}:{(229,1),(230,1),(233,1),(242,1),(243,1)}
       239:{1,3,5}:{(230,1),(231,1),(234,1),(243,1)}
       240:{1,4,7}:{(232,1),(233,1),(241,1),(242,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

1977 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(16,1),(121,1),(124,1),(202,1),(203,1),(205,1),(213,1),(274,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(27,1),(31,1),(95,1),(97,1),(149,1),(151,1),(161,1),(164,1),(247,1),(249,1),(256,1),(311,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(34,1),(89,1),(245,1),(255,1),(310,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(39,1),(45,1),(95,1),(97,1),(311,1),(312,1),(313,1),(361,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(45,1),(361,1),(362,1),(363,1)}
         5:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(53,1),(54,1),(121,1),(198,1),(199,1),(203,1),(210,1),(271,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(55,1),(121,1),(124,1),(288,1),(289,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(22,1),(50,1),(67,1),(113,1),(125,1),(294,1),(342,1)}
         8:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(282,1),(291,1),(339,1)}
         9:{1,3,5,7}:{(3,1),(16,1),(21,1),(22,1),(66,1),(344,1),(345,1)}
        10:{1,2,4,6}:{(3,1),(17,1),(22,1),(23,1),(67,1),(342,1),(381,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(25,1),(383,1)}
        12:{1,2,3,6}:{(4,1),(22,1),(25,1),(381,1)}
        13:{1,2,4,5,7}:{(6,1),(27,1),(28,1),(73,1),(76,1),(144,1),(149,1),(151,1),(256,1),(257,1),(258,1),(261,1)}
        14:{1,3,4,6,7}:{(5,1),(7,1),(30,1),(31,1),(38,1),(75,1),(82,1),(95,1),(149,1),(157,1),(161,1),(244,1),(247,1),(253,1),(308,1)}
        15:{2,3,5,7}:{(5,1),(8,1),(31,1),(32,1),(242,1),(252,1),(307,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(27,1),(33,1),(34,1),(88,1),(324,1),(325,1)}
        17:{2,4,6}:{(6,1),(7,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(31,1),(35,1),(36,1),(90,1),(326,1),(364,1)}
        19:{2,4,5,6}:{(8,1),(32,1),(36,1),(37,1),(89,1)}
        20:{1,2,4,6,7}:{(10,1),(30,1),(38,1),(39,1),(95,1),(308,1),(309,1),(312,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(33,1),(40,1),(95,1),(369,1)}
        22:{1,3,6}:{(9,1),(10,1),(34,1)}
        23:{1,2,5,6}:{(10,1),(35,1),(39,1),(41,1),(45,1),(364,1)}
        24:{1,2,3,6,7}:{(12,1),(38,1),(43,1),(44,1),(169,1),(177,1),(309,1),(362,1),(366,1),(395,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(99,1),(100,1),(103,1),(177,1),(237,1),(314,1),(363,1),(395,1),(397,1),(410,1)}
        27:{1,3,5,7}:{(13,1),(16,1),(49,1),(50,1),(112,1),(296,1),(297,1)}
        28:{1,2,4,6}:{(13,1),(17,1),(50,1),(51,1),(113,1),(294,1),(298,1)}
        29:{2,3,5,6,7}:{(15,1),(52,1),(53,1),(116,1),(196,1),(199,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(54,1),(55,1),(121,1),(285,1),(288,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(18,1),(55,1),(56,1),(122,1),(292,1),(340,1)}
        32:{2,4,5,7}:{(15,1),(19,1),(53,1),(56,1),(57,1),(121,1)}
        33:{2,3,4,7}:{(16,1),(21,1),(49,1),(58,1),(121,1),(354,1)}
        34:{2,3,6}:{(16,1),(17,1),(22,1),(50,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{1,4,5,6}:{(18,1),(19,1),(56,1),(60,1),(67,1),(113,1)}
        37:{3,4,5,6}:{(19,1),(57,1),(125,1),(282,1)}
        38:{1,3,6,7}:{(20,1),(22,1),(54,1),(64,1),(344,1)}
        39:{1,2,5,7}:{(20,1),(23,1),(55,1),(64,1),(340,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(25,1),(58,1),(66,1),(67,1)}
        41:{1,3,5,6}:{(22,1),(23,1),(59,1),(64,1),(66,1),(67,1)}
        42:{1,2,4,5,6}:{(23,1),(60,1),(65,1),(67,1),(68,1),(71,1),(127,1),(135,1),(137,1),(207,1),(208,1),(278,1),(291,1),(384,1),(388,1),(406,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(63,1),(69,1),(70,1),(137,1),(210,1),(336,1),(381,1),(405,1)}
        44:{1,2,3,5,7}:{(24,1),(26,1),(64,1),(69,1),(70,1),(133,1),(138,1),(276,1),(344,1),(385,1)}
        45:{1,2,5}:{(25,1),(66,1)}
        46:{1,2,4,6}:{(26,1),(67,1),(70,1),(71,1),(72,1),(135,1),(383,1),(406,1)}
        47:{1,2,3,5,7}:{(27,1),(73,1),(74,1),(144,1),(261,1),(262,1),(263,1)}
        48:{1,2,4,6,7}:{(28,1),(30,1),(75,1),(76,1),(149,1),(253,1),(254,1),(257,1)}
        49:{1,3,4,7}:{(27,1),(33,1),(73,1),(77,1),(149,1),(331,1)}
        50:{1,3,6}:{(27,1),(28,1),(34,1)}
        51:{1,2,5,6}:{(28,1),(35,1),(76,1),(78,1),(144,1),(326,1)}
        52:{1,3,5,6,7}:{(29,1),(31,1),(81,1),(82,1),(157,1),(240,1),(244,1)}
        53:{2,4,6,7}:{(29,1),(32,1),(82,1),(83,1)}
        54:{2,3,6,7}:{(30,1),(34,1),(38,1),(75,1),(85,1),(157,1),(324,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{1,4,5,7}:{(31,1),(32,1),(36,1),(82,1),(86,1),(95,1),(149,1)}
        57:{3,4,5,7}:{(32,1),(37,1),(83,1),(161,1),(242,1)}
        58:{2,3,4,6}:{(33,1),(34,1),(40,1),(77,1),(88,1),(89,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(41,1),(78,1),(85,1),(88,1),(89,1),(90,1)}
        60:{2,4,5,6}:{(35,1),(36,1),(86,1),(89,1),(90,1)}
        61:{1,3,4,5,6}:{(36,1),(37,1),(87,1),(90,1),(91,1),(98,1),(152,1),(166,1),(251,1),(306,1),(315,1),(370,1),(400,1)}
        62:{1,2,5,6,7}:{(39,1),(81,1),(92,1),(93,1),(100,1),(240,1),(252,1),(309,1),(318,1),(365,1)}
        63:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(84,1),(94,1),(95,1),(102,1),(170,1),(177,1),(303,1),(308,1),(360,1),(366,1),(398,1),(399,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(41,1),(85,1),(95,1)}
        65:{1,2,4,5,7}:{(39,1),(42,1),(86,1),(93,1),(95,1),(96,1),(163,1),(167,1),(172,1),(248,1),(252,1),(312,1),(365,1),(371,1),(398,1)}
        66:{1,3,5}:{(40,1),(45,1),(88,1),(97,1)}
        67:{1,4,6}:{(41,1),(89,1),(95,1),(97,1)}
        68:{1,3,5,6}:{(42,1),(90,1),(96,1),(98,1),(99,1),(103,1),(177,1),(314,1),(400,1)}
        69:{1,2,5,7}:{(43,1),(45,1),(94,1),(100,1),(252,1),(410,1)}
        70:{1,2,4,7}:{(44,1),(46,1),(95,1),(102,1),(172,1),(398,1)}
        71:{1,2,4,5}:{(45,1),(46,1),(97,1),(103,1),(174,1),(410,1),(411,1)}
        72:{1,3,4,6}:{(46,1),(102,1),(103,1),(104,1),(177,1),(314,1),(369,1)}
        73:{1,2,4,7}:{(47,1),(49,1),(106,1),(300,1)}
        74:{1,2,3,6}:{(47,1),(50,1),(106,1),(298,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(54,1),(110,1),(296,1)}
        76:{1,2,5,7}:{(48,1),(51,1),(55,1),(110,1),(292,1)}
        77:{1,3,4,6}:{(49,1),(50,1),(58,1),(106,1),(112,1),(113,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(59,1),(110,1),(112,1),(113,1)}
        79:{1,2,4,5,6}:{(51,1),(60,1),(111,1),(113,1),(114,1),(127,1),(184,1),(193,1),(207,1),(217,1),(264,1),(269,1),(339,1),(355,1),(388,1),(393,1)}
        80:{2,4,5,6,7}:{(53,1),(115,1),(116,1),(196,1),(197,1),(348,1)}
        81:{2,5,6,7}:{(52,1),(55,1),(118,1),(285,1)}
        82:{1,4,6,7}:{(52,1),(53,1),(56,1),(118,1)}
        83:{3,4,6,7}:{(53,1),(57,1),(116,1)}
        84:{2,3,4,6,7}:{(54,1),(58,1),(63,1),(109,1),(120,1),(121,1),(139,1),(198,1),(201,1),(210,1),(218,1),(266,1),(271,1),(334,1),(351,1),(391,1),(392,1)}
        85:{2,3,5,7}:{(54,1),(55,1),(59,1),(64,1),(110,1),(121,1),(122,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(60,1),(118,1),(121,1),(122,1)}
        87:{1,3,4,5,7}:{(56,1),(57,1),(61,1),(119,1),(122,1),(123,1),(132,1),(190,1),(204,1),(209,1),(270,1),(279,1),(347,1),(389,1)}
        88:{2,3,5}:{(58,1),(66,1),(112,1),(124,1)}
        89:{2,4,6}:{(59,1),(67,1),(113,1),(121,1),(124,1),(125,1)}
        90:{3,5,6}:{(60,1),(122,1),(125,1)}
        91:{2,4,5,6}:{(61,1),(123,1),(126,1),(127,1),(135,1),(193,1),(207,1),(291,1),(339,1)}
        92:{1,3,5,6,7}:{(62,1),(64,1),(117,1),(128,1),(129,1),(130,1),(209,1),(272,1),(340,1),(385,1)}
        93:{1,2,4,6,7}:{(62,1),(65,1),(118,1),(128,1),(129,1),(137,1),(200,1),(210,1),(285,1),(348,1)}
        94:{1,3,5,7}:{(63,1),(66,1),(69,1),(120,1),(130,1),(131,1),(340,1),(407,1)}
        95:{1,4,7}:{(64,1),(67,1),(121,1)}
        96:{1,3,5,7}:{(65,1),(68,1),(122,1),(129,1),(132,1),(133,1),(344,1),(389,1)}
        97:{1,4,5}:{(66,1),(67,1),(124,1)}
        98:{1,3,4,6}:{(67,1),(68,1),(125,1),(132,1),(134,1),(135,1),(406,1),(408,1)}
        99:{2,3,5,6}:{(68,1),(133,1),(135,1),(136,1),(140,1),(207,1),(218,1),(290,1),(291,1)}
       100:{1,2,5,6}:{(69,1),(130,1),(137,1),(291,1),(381,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(131,1),(137,1),(138,1),(213,1)}
       102:{1,3,4,7}:{(70,1),(72,1),(138,1),(139,1),(344,1)}
       103:{1,3,5}:{(71,1),(72,1),(140,1)}
       104:{2,3,4,6}:{(72,1),(135,1),(139,1),(140,1),(141,1),(218,1),(290,1),(354,1)}
       105:{1,2,3,6,7}:{(74,1),(75,1),(142,1),(143,1),(230,1),(254,1),(262,1),(301,1),(328,1),(332,1)}
       106:{1,2,4,6}:{(73,1),(74,1),(77,1),(144,1)}
       107:{1,2,3,5,6}:{(74,1),(78,1),(143,1),(144,1),(145,1),(153,1),(176,1),(223,1),(226,1),(259,1),(263,1),(301,1),(332,1),(377,1),(380,1)}
       108:{1,2,5,6,7}:{(76,1),(81,1),(146,1),(147,1),(223,1),(240,1),(254,1),(307,1),(318,1),(327,1)}
       109:{1,3,4,6,7}:{(75,1),(77,1),(84,1),(142,1),(148,1),(149,1),(179,1),(225,1),(231,1),(253,1),(260,1),(301,1),(328,1),(378,1),(379,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(85,1),(149,1)}
       111:{1,2,4,5,7}:{(76,1),(79,1),(86,1),(147,1),(149,1),(150,1),(163,1),(228,1),(233,1),(248,1),(257,1),(307,1),(327,1),(371,1),(378,1)}
       112:{1,3,5}:{(77,1),(88,1),(144,1),(151,1)}
       113:{1,4,6}:{(78,1),(89,1),(149,1),(151,1)}
       114:{1,3,5,6}:{(79,1),(90,1),(150,1),(152,1),(153,1),(226,1),(259,1),(301,1),(400,1)}
       115:{1,4,5,6,7}:{(80,1),(82,1),(154,1),(155,1),(167,1),(228,1),(240,1),(317,1)}
       116:{3,5,6,7}:{(80,1),(83,1),(242,1),(372,1)}
       117:{2,3,5,6,7}:{(81,1),(85,1),(92,1),(146,1),(156,1),(157,1),(159,1),(169,1),(230,1),(242,1),(252,1),(307,1),(318,1),(372,1),(374,1)}
       118:{2,4,6,7}:{(81,1),(82,1),(86,1),(157,1)}
       119:{1,3,4,6,7}:{(82,1),(83,1),(87,1),(155,1),(157,1),(158,1),(238,1),(244,1),(317,1),(372,1)}
       120:{2,3,5,7}:{(84,1),(88,1),(94,1),(148,1),(159,1),(160,1),(242,1),(252,1),(307,1),(403,1)}
       121:{2,4,7}:{(85,1),(89,1),(95,1),(149,1),(161,1)}
       122:{3,5,7}:{(86,1),(90,1),(157,1),(161,1)}
       123:{2,4,5,7}:{(87,1),(91,1),(158,1),(162,1),(163,1),(172,1),(233,1),(248,1),(252,1),(307,1)}
       124:{2,4,5}:{(88,1),(89,1),(97,1),(151,1),(164,1)}
       125:{3,4,6}:{(89,1),(90,1),(161,1),(164,1)}
       126:{2,3,5,6}:{(90,1),(91,1),(162,1),(165,1),(166,1),(400,1)}
       127:{1,4,5,6}:{(91,1),(163,1),(166,1),(175,1),(236,1),(326,1),(364,1)}
       128:{1,4,6,7}:{(92,1),(95,1),(156,1),(167,1),(170,1),(398,1)}
       129:{1,3,6,7}:{(93,1),(96,1),(157,1),(169,1),(177,1),(372,1)}
       130:{1,3,5,6}:{(94,1),(100,1),(159,1),(170,1),(177,1),(360,1),(364,1)}
       131:{1,4,5,7}:{(94,1),(95,1),(97,1),(160,1),(170,1),(398,1),(411,1)}
       132:{1,3,4,7}:{(95,1),(96,1),(98,1),(161,1),(172,1),(398,1),(401,1)}
       133:{2,3,5,7}:{(96,1),(99,1),(169,1),(172,1),(173,1),(248,1),(252,1),(324,1)}
       134:{1,3,4,5}:{(97,1),(98,1),(103,1),(164,1),(174,1),(411,1),(412,1)}
       135:{2,4,6}:{(98,1),(99,1),(172,1),(174,1),(175,1)}
       136:{1,3,5,6}:{(99,1),(173,1),(175,1),(176,1),(180,1),(259,1),(260,1),(326,1)}
       137:{1,2,4,6}:{(100,1),(101,1),(170,1),(177,1),(255,1)}
       138:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(178,1)}
       139:{2,3,4,7}:{(102,1),(104,1),(172,1),(178,1),(179,1),(324,1)}
       140:{2,3,5}:{(103,1),(104,1),(174,1),(180,1)}
       141:{1,3,4,6}:{(104,1),(175,1),(179,1),(180,1),(181,1),(259,1),(260,1),(331,1)}
       142:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(182,1),(183,1),(220,1),(264,1),(271,1),(298,1),(359,1)}
       143:{1,2,3,5,7}:{(105,1),(107,1),(110,1),(182,1),(183,1),(191,1),(215,1),(265,1),(296,1),(356,1)}
       144:{1,2,5}:{(106,1),(112,1)}
       145:{1,2,4,6}:{(107,1),(113,1),(183,1),(184,1),(185,1),(193,1),(300,1),(393,1)}
       146:{1,3,5,6,7}:{(108,1),(110,1),(117,1),(186,1),(187,1),(188,1),(211,1),(270,1),(292,1),(356,1)}
       147:{1,2,4,6,7}:{(108,1),(111,1),(118,1),(186,1),(187,1),(200,1),(264,1),(271,1),(285,1),(348,1)}
       148:{1,3,5,7}:{(109,1),(112,1),(120,1),(182,1),(188,1),(189,1),(292,1),(394,1)}
       149:{1,4,7}:{(110,1),(113,1),(121,1)}
       150:{1,3,5,7}:{(111,1),(114,1),(122,1),(187,1),(190,1),(191,1),(296,1),(389,1)}
       151:{1,4,5}:{(112,1),(113,1),(124,1)}
       152:{1,3,4,6}:{(113,1),(114,1),(125,1),(190,1),(192,1),(193,1),(393,1),(408,1)}
       153:{2,3,5,6}:{(114,1),(191,1),(193,1),(194,1),(207,1),(267,1),(290,1),(334,1),(339,1)}
       154:{2,4,5,6,7}:{(115,1),(118,1),(195,1),(196,1),(197,1),(280,1)}
       155:{1,3,5,6,7}:{(115,1),(116,1),(119,1),(195,1),(196,1),(209,1),(270,1)}
       156:{2,4,6,7}:{(117,1),(121,1),(128,1),(186,1),(197,1),(198,1),(201,1),(391,1)}
       157:{3,6,7}:{(118,1),(122,1)}
       158:{2,4,6,7}:{(119,1),(123,1),(196,1),(199,1),(200,1),(285,1)}
       159:{2,3,5,6}:{(120,1),(130,1),(188,1),(201,1),(218,1),(282,1),(291,1),(334,1),(339,1)}
       160:{2,4,5,7}:{(120,1),(121,1),(124,1),(131,1),(189,1),(201,1),(202,1),(391,1),(409,1)}
       161:{3,4,7}:{(121,1),(122,1),(125,1)}
       162:{2,3,5,7}:{(122,1),(123,1),(126,1),(199,1),(203,1),(204,1),(389,1)}
       163:{1,4,5,7}:{(123,1),(127,1),(200,1),(204,1),(214,1),(275,1),(292,1),(340,1)}
       164:{3,4,5}:{(124,1),(125,1)}
       165:{2,3,4,6}:{(125,1),(126,1),(135,1),(193,1),(203,1),(205,1),(206,1),(290,1),(408,1)}
       166:{1,3,5,6}:{(126,1),(127,1),(204,1),(206,1),(207,1)}
       167:{1,4,5,7}:{(128,1),(197,1),(208,1),(209,1),(340,1)}
       168:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(198,1),(209,1),(210,1),(212,1)}
       169:{2,3,6,7}:{(129,1),(133,1),(210,1),(211,1),(218,1),(285,1)}
       170:{1,4,6}:{(130,1),(131,1),(201,1)}
       171:{1,3,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(202,1),(209,1),(212,1),(213,1)}
       172:{2,4,7}:{(132,1),(133,1),(135,1),(214,1)}
       173:{1,3,5,7}:{(133,1),(136,1),(211,1),(214,1),(215,1),(292,1),(296,1)}
       174:{2,4,5}:{(134,1),(135,1),(140,1),(216,1)}
       175:{1,4,6}:{(135,1),(136,1),(214,1),(216,1)}
       176:{1,2,5,6}:{(136,1),(207,1),(215,1),(217,1),(221,1),(298,1)}
       177:{1,3,6}:{(137,1),(138,1),(218,1)}
       178:{2,3,5,7}:{(138,1),(139,1),(140,1),(213,1),(218,1),(219,1)}
       179:{1,3,4,7}:{(139,1),(141,1),(214,1),(219,1),(220,1),(296,1)}
       180:{1,3,5}:{(140,1),(141,1),(216,1),(221,1)}
       181:{1,2,4,6}:{(141,1),(220,1),(221,1),(222,1),(298,1),(300,1)}
       182:{1,2,5,7}:{(142,1),(144,1),(148,1),(223,1),(307,1),(380,1)}
       183:{1,2,4,7}:{(143,1),(145,1),(149,1),(225,1),(233,1),(378,1)}
       184:{1,2,4,5}:{(144,1),(145,1),(151,1),(226,1),(235,1),(380,1),(404,1)}
       185:{1,3,4,6}:{(145,1),(225,1),(226,1),(227,1),(259,1),(301,1),(331,1)}
       186:{1,4,6,7}:{(146,1),(149,1),(156,1),(228,1),(231,1),(378,1)}
       187:{1,3,6,7}:{(147,1),(150,1),(157,1),(230,1),(301,1),(372,1)}
       188:{1,3,5,6}:{(148,1),(159,1),(223,1),(231,1),(260,1),(301,1),(326,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(151,1),(160,1),(231,1),(378,1),(404,1)}
       190:{1,3,4,7}:{(149,1),(150,1),(152,1),(161,1),(233,1),(378,1),(401,1)}
       191:{2,3,5,7}:{(150,1),(153,1),(230,1),(233,1),(234,1),(248,1),(307,1),(324,1)}
       192:{1,3,4,5}:{(151,1),(152,1),(164,1),(226,1),(235,1),(404,1),(412,1)}
       193:{2,4,6}:{(152,1),(153,1),(233,1),(235,1),(236,1)}
       194:{1,3,5,6}:{(153,1),(234,1),(236,1),(237,1),(304,1),(314,1),(360,1),(364,1)}
       195:{3,5,6,7}:{(154,1),(157,1),(238,1),(242,1)}
       196:{2,5,6,7}:{(155,1),(158,1),(240,1),(252,1),(307,1)}
       197:{2,4,5,7}:{(156,1),(167,1),(228,1),(241,1),(242,1),(252,1),(307,1)}
       198:{3,4,6,7}:{(156,1),(157,1),(161,1),(242,1),(245,1),(372,1),(401,1)}
       199:{2,3,6,7}:{(157,1),(158,1),(162,1),(244,1),(372,1)}
       200:{1,4,6,7}:{(158,1),(163,1),(240,1),(244,1)}
       201:{2,4,6}:{(159,1),(160,1),(170,1),(231,1),(245,1)}
       202:{3,4,5,7}:{(160,1),(161,1),(164,1),(242,1),(245,1),(401,1),(412,1)}
       203:{2,3,4,7}:{(161,1),(162,1),(165,1),(172,1),(233,1),(247,1),(324,1),(401,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(166,1),(244,1),(247,1),(248,1)}
       205:{2,3,4,5}:{(164,1),(165,1),(174,1),(235,1),(249,1),(325,1),(412,1)}
       206:{1,3,4,6}:{(165,1),(166,1),(175,1),(236,1),(247,1),(249,1),(250,1),(259,1),(314,1)}
       207:{2,5,6}:{(166,1),(248,1),(250,1)}
       208:{1,4,5,6}:{(167,1),(170,1),(241,1),(251,1),(364,1)}
       209:{1,3,5,7}:{(167,1),(168,1),(242,1),(251,1),(252,1)}
       210:{2,4,6,7}:{(168,1),(169,1),(172,1),(252,1),(253,1),(255,1)}
       211:{1,3,6,7}:{(169,1),(173,1),(253,1),(254,1),(260,1)}
       212:{1,3,4,6}:{(170,1),(171,1),(177,1),(245,1),(251,1),(255,1)}
       213:{2,4,5,7}:{(171,1),(172,1),(174,1),(178,1),(252,1),(255,1),(256,1)}
       214:{1,4,7}:{(172,1),(173,1),(175,1)}
       215:{1,2,5,7}:{(173,1),(176,1),(248,1),(254,1),(257,1)}
       216:{1,4,5}:{(174,1),(175,1),(180,1)}
       217:{1,2,4,6}:{(175,1),(176,1),(250,1),(257,1),(258,1),(259,1)}
       218:{2,3,6}:{(177,1),(178,1),(255,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(180,1),(256,1),(260,1),(261,1)}
       220:{1,2,4,7}:{(179,1),(181,1),(261,1),(262,1)}
       221:{1,2,5}:{(180,1),(181,1)}
       222:{1,2,3,6}:{(181,1),(259,1),(262,1),(263,1)}
       223:{1,2,5,6}:{(182,1),(188,1),(264,1),(298,1),(339,1)}
       224:{1,2,4,5,7}:{(182,1),(183,1),(184,1),(189,1),(264,1),(265,1),(274,1)}
       225:{1,3,4,7}:{(183,1),(185,1),(265,1),(266,1),(296,1)}
       226:{1,3,5}:{(184,1),(185,1),(267,1)}
       227:{2,3,4,6}:{(185,1),(193,1),(266,1),(267,1),(268,1),(290,1),(334,1),(354,1)}
       228:{1,4,5,7}:{(186,1),(197,1),(269,1),(270,1),(292,1)}
       229:{1,3,4,6,7}:{(186,1),(187,1),(190,1),(198,1),(270,1),(271,1),(273,1)}
       230:{2,3,6,7}:{(187,1),(191,1),(271,1),(272,1),(285,1),(334,1)}
       231:{1,4,6}:{(188,1),(189,1),(201,1)}
       232:{1,3,4,5,7}:{(189,1),(190,1),(192,1),(202,1),(265,1),(270,1),(273,1),(274,1)}
       233:{2,4,7}:{(190,1),(191,1),(193,1),(275,1)}
       234:{1,3,5,7}:{(191,1),(194,1),(272,1),(275,1),(276,1),(340,1),(344,1)}
       235:{2,4,5}:{(192,1),(193,1),(267,1),(277,1)}
       236:{1,4,6}:{(193,1),(194,1),(275,1),(277,1)}
       237:{1,2,5,6}:{(194,1),(207,1),(276,1),(278,1),(337,1),(381,1)}
       238:{3,4,6,7}:{(195,1),(279,1),(280,1)}
       239:{2,3,5,6,7}:{(195,1),(196,1),(199,1),(280,1),(281,1),(283,1)}
       240:{1,5,6,7}:{(196,1),(200,1),(292,1),(340,1)}
       241:{2,4,5,6}:{(197,1),(201,1),(208,1),(269,1),(282,1),(291,1),(339,1)}
       242:{3,5,7}:{(197,1),(198,1),(282,1)}
       243:{2,3,4,6,7}:{(198,1),(199,1),(203,1),(210,1),(271,1),(280,1),(283,1),(284,1),(286,1),(351,1),(391,1)}
       244:{1,3,6,7}:{(199,1),(200,1),(204,1),(285,1)}
       245:{3,4,6}:{(201,1),(202,1),(282,1)}
       246:{2,3,4,5,7}:{(202,1),(203,1),(205,1),(213,1),(274,1),(283,1),(286,1),(287,1),(353,1),(391,1),(409,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(206,1),(214,1),(275,1),(288,1),(296,1),(344,1)}
       248:{2,5,7}:{(204,1),(207,1),(285,1),(288,1)}
       249:{1,3,4,5}:{(205,1),(206,1),(216,1),(277,1),(289,1),(297,1),(345,1)}
       250:{2,4,6}:{(206,1),(207,1),(288,1),(289,1),(290,1)}
       251:{1,3,5,6}:{(208,1),(209,1),(212,1),(282,1),(291,1)}
       252:{2,5,7}:{(209,1),(210,1),(291,1),(292,1)}
       253:{1,4,6,7}:{(210,1),(211,1),(214,1),(292,1),(294,1)}
       254:{1,2,6,7}:{(211,1),(215,1),(285,1),(298,1)}
       255:{2,4,6}:{(212,1),(213,1),(218,1),(291,1),(294,1)}
       256:{1,4,5,7}:{(213,1),(214,1),(216,1),(219,1),(292,1),(294,1)}
       257:{1,2,4,7}:{(214,1),(215,1),(217,1),(288,1),(296,1)}
       258:{1,2,4,5}:{(216,1),(217,1),(221,1),(289,1),(297,1),(300,1)}
       259:{1,3,6}:{(217,1),(290,1),(296,1),(297,1)}
       260:{1,3,6}:{(218,1),(219,1),(294,1),(298,1)}
       261:{1,2,5,7}:{(219,1),(220,1),(221,1),(298,1)}
       262:{1,2,3,7}:{(220,1),(222,1),(296,1)}
       263:{1,2,3,5}:{(221,1),(222,1),(297,1),(300,1)}
       264:{1,2,4,6}:{(223,1),(224,1),(231,1),(301,1),(310,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(301,1),(302,1)}
       266:{2,3,4,7}:{(225,1),(227,1),(233,1),(302,1),(303,1),(324,1)}
       267:{2,3,5}:{(226,1),(227,1),(235,1),(304,1)}
       268:{1,3,4,6}:{(227,1),(236,1),(303,1),(304,1),(305,1),(314,1),(360,1),(369,1)}
       269:{1,4,5,6}:{(228,1),(231,1),(241,1),(306,1),(326,1)}
       270:{1,3,5,7}:{(228,1),(229,1),(242,1),(306,1),(307,1)}
       271:{2,4,6,7}:{(229,1),(230,1),(233,1),(307,1),(308,1),(310,1)}
       272:{1,3,6,7}:{(230,1),(234,1),(308,1),(309,1),(360,1)}
       273:{1,3,4,6}:{(231,1),(232,1),(245,1),(301,1),(306,1),(310,1)}
       274:{2,4,5,7}:{(232,1),(233,1),(235,1),(302,1),(307,1),(310,1),(311,1)}
       275:{1,4,7}:{(233,1),(234,1),(236,1)}
       276:{1,2,5,7}:{(234,1),(237,1),(248,1),(309,1),(312,1)}
       277:{1,4,5}:{(235,1),(236,1),(304,1)}
       278:{1,2,4,6}:{(236,1),(237,1),(250,1),(312,1),(313,1),(314,1)}
       279:{3,4,5,7}:{(238,1),(242,1),(315,1),(316,1),(401,1)}
       280:{2,4,6,7}:{(238,1),(239,1),(316,1),(317,1)}
       281:{1,3,5,6,7}:{(239,1),(240,1),(244,1),(317,1),(318,1),(320,1),(372,1)}
       282:{3,5,6}:{(241,1),(242,1),(245,1)}
       283:{2,3,5,7}:{(242,1),(243,1),(252,1),(307,1),(316,1),(319,1),(320,1)}
       284:{1,3,4,6,7}:{(243,1),(244,1),(247,1),(253,1),(308,1),(317,1),(320,1),(321,1),(322,1),(328,1),(366,1),(372,1),(378,1),(398,1),(401,1)}
       285:{2,6,7}:{(244,1),(248,1)}
       286:{2,3,4,6}:{(245,1),(246,1),(255,1),(310,1),(319,1),(322,1),(375,1),(402,1)}
       287:{1,3,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(311,1),(320,1),(322,1),(323,1),(330,1),(368,1),(378,1),(398,1),(401,1),(404,1),(411,1),(412,1)}
       288:{2,4,7}:{(247,1),(248,1),(250,1),(324,1)}
       289:{2,4,5}:{(249,1),(250,1),(325,1)}
       290:{2,3,6}:{(250,1),(259,1),(314,1),(324,1),(325,1)}
       291:{2,5,6}:{(251,1),(252,1),(255,1),(326,1)}
       292:{1,5,7}:{(252,1),(253,1),(326,1)}
       293:{1,2,4,6,7}:{(253,1),(254,1),(257,1),(321,1),(327,1),(328,1),(329,1),(378,1)}
       294:{1,4,6}:{(255,1),(256,1),(260,1),(326,1)}
       295:{1,2,4,5,7}:{(256,1),(257,1),(258,1),(261,1),(323,1),(327,1),(329,1),(330,1),(333,1),(378,1),(380,1),(404,1)}
       296:{1,3,7}:{(257,1),(259,1),(324,1)}
       297:{1,3,5}:{(258,1),(259,1),(325,1),(331,1)}
       298:{1,2,6}:{(260,1),(261,1)}
       299:{1,2,3,5,7}:{(261,1),(262,1),(263,1),(330,1),(332,1),(333,1),(380,1)}
       300:{1,2,4}:{(263,1),(331,1)}
       301:{1,3,6}:{(264,1),(265,1),(334,1)}
       302:{2,3,5,7}:{(265,1),(266,1),(267,1),(274,1),(334,1),(335,1)}
       303:{1,3,4,7}:{(266,1),(268,1),(275,1),(335,1),(336,1),(344,1)}
       304:{1,3,5}:{(267,1),(268,1),(277,1),(337,1)}
       305:{1,2,4,6}:{(268,1),(336,1),(337,1),(338,1),(381,1),(383,1)}
       306:{1,3,5,6}:{(269,1),(270,1),(273,1),(282,1),(339,1)}
       307:{2,5,7}:{(270,1),(271,1),(339,1),(340,1)}
       308:{1,4,6,7}:{(271,1),(272,1),(275,1),(340,1),(342,1)}
       309:{1,2,6,7}:{(272,1),(276,1),(285,1),(381,1)}
       310:{2,4,6}:{(273,1),(274,1),(334,1),(339,1),(342,1)}
       311:{1,4,5,7}:{(274,1),(275,1),(277,1),(335,1),(340,1),(342,1)}
       312:{1,2,4,7}:{(275,1),(276,1),(278,1),(288,1),(344,1)}
       313:{1,2,4,5}:{(277,1),(278,1),(289,1),(337,1),(345,1),(383,1)}
       314:{1,3,6}:{(278,1),(290,1),(344,1),(345,1)}
       315:{3,4,5,6}:{(279,1),(282,1),(346,1),(408,1)}
       316:{2,4,5,7}:{(279,1),(280,1),(283,1),(346,1),(347,1),(391,1)}
       317:{1,4,6,7}:{(280,1),(281,1),(347,1),(348,1)}
       318:{2,5,6,7}:{(281,1),(285,1),(348,1),(350,1)}
       319:{2,3,5,6}:{(282,1),(283,1),(286,1),(291,1),(339,1),(346,1),(349,1)}
       320:{1,3,5,7}:{(283,1),(284,1),(292,1),(340,1),(347,1),(349,1),(350,1),(389,1)}
       321:{2,4,6,7}:{(284,1),(285,1),(288,1),(350,1),(351,1),(352,1),(391,1)}
       322:{1,3,4,6}:{(286,1),(287,1),(294,1),(342,1),(349,1),(352,1),(357,1),(386,1),(393,1),(406,1),(408,1)}
       323:{2,4,5,7}:{(287,1),(288,1),(289,1),(350,1),(352,1),(353,1),(391,1),(409,1)}
       324:{2,3,7}:{(288,1),(290,1),(296,1),(344,1)}
       325:{2,3,5}:{(289,1),(290,1),(297,1),(345,1),(354,1)}
       326:{1,5,6}:{(291,1),(292,1),(294,1)}
       327:{1,2,5,7}:{(292,1),(293,1),(350,1),(355,1),(356,1)}
       328:{1,3,6,7}:{(293,1),(296,1),(351,1),(356,1),(357,1)}
       329:{1,2,4,6}:{(294,1),(295,1),(298,1),(352,1),(355,1),(357,1),(393,1)}
       330:{1,3,5,7}:{(295,1),(296,1),(297,1),(353,1),(357,1),(358,1),(394,1)}
       331:{1,3,4}:{(297,1),(300,1),(354,1)}
       332:{1,2,3,6}:{(298,1),(299,1),(357,1),(359,1)}
       333:{1,2,4,7}:{(299,1),(300,1),(358,1),(359,1)}
       334:{2,3,6}:{(301,1),(302,1),(310,1),(360,1)}
       335:{1,3,5,7}:{(302,1),(303,1),(304,1),(311,1),(360,1),(361,1)}
       336:{1,2,4,7}:{(303,1),(305,1),(361,1),(362,1)}
       337:{1,2,5}:{(304,1),(305,1)}
       338:{1,2,3,6}:{(305,1),(314,1),(362,1),(363,1)}
       339:{2,5,6}:{(306,1),(307,1),(310,1),(364,1)}
       340:{1,5,7}:{(307,1),(308,1),(364,1)}
       341:{1,2,4,6,7}:{(308,1),(309,1),(312,1),(321,1),(365,1),(366,1),(367,1),(398,1)}
       342:{1,4,6}:{(310,1),(311,1),(360,1),(364,1)}
       343:{1,2,4,5,7}:{(311,1),(312,1),(313,1),(323,1),(361,1),(365,1),(367,1),(368,1),(396,1),(398,1),(410,1),(411,1)}
       344:{1,3,7}:{(312,1),(314,1),(324,1)}
       345:{1,3,5}:{(313,1),(314,1),(325,1),(369,1)}
       346:{2,4,5,6}:{(315,1),(316,1),(319,1),(370,1),(402,1)}
       347:{1,4,5,7}:{(316,1),(317,1),(320,1),(370,1),(371,1),(378,1),(398,1)}
       348:{2,4,6,7}:{(317,1),(318,1),(371,1),(372,1)}
       349:{1,3,5,6}:{(319,1),(320,1),(322,1),(326,1),(364,1),(370,1),(373,1),(400,1)}
       350:{2,5,7}:{(320,1),(321,1),(373,1)}
       351:{2,3,6,7}:{(321,1),(324,1),(328,1),(366,1),(372,1),(374,1),(375,1)}
       352:{2,4,6}:{(322,1),(323,1),(373,1),(375,1)}
       353:{2,3,5,7}:{(323,1),(324,1),(325,1),(330,1),(368,1),(375,1),(376,1),(403,1)}
       354:{2,3,4}:{(325,1),(331,1),(369,1)}
       355:{1,2,5,6}:{(326,1),(327,1),(329,1),(373,1),(377,1),(380,1)}
       356:{1,3,5,7}:{(327,1),(328,1),(374,1),(377,1),(378,1)}
       357:{1,3,6}:{(329,1),(330,1),(375,1)}
       358:{1,3,4,7}:{(330,1),(331,1),(333,1),(376,1),(378,1),(379,1)}
       359:{1,2,4,6}:{(332,1),(333,1),(379,1),(380,1)}
       360:{1,3,6}:{(334,1),(335,1),(342,1),(381,1)}
       361:{1,2,5,7}:{(335,1),(336,1),(337,1),(381,1)}
       362:{1,2,3,7}:{(336,1),(338,1),(344,1)}
       363:{1,2,3,5}:{(337,1),(338,1),(345,1),(383,1)}
       364:{1,5,6}:{(339,1),(340,1),(342,1)}
       365:{1,2,5,7}:{(340,1),(341,1),(350,1),(384,1),(385,1)}
       366:{1,3,6,7}:{(341,1),(344,1),(351,1),(385,1),(386,1)}
       367:{1,2,4,6}:{(342,1),(343,1),(352,1),(381,1),(384,1),(386,1),(406,1)}
       368:{1,3,5,7}:{(343,1),(344,1),(345,1),(353,1),(386,1),(387,1),(407,1)}
       369:{1,3,4}:{(345,1),(354,1),(383,1)}
       370:{1,4,5,6}:{(346,1),(347,1),(349,1),(388,1),(393,1),(406,1)}
       371:{2,4,5,7}:{(347,1),(348,1),(350,1),(388,1),(389,1),(391,1)}
       372:{3,6,7}:{(348,1),(389,1)}
       373:{2,5,6}:{(349,1),(350,1),(352,1)}
       374:{2,3,5,7}:{(350,1),(351,1),(356,1),(385,1),(389,1),(390,1),(391,1)}
       375:{2,3,6}:{(352,1),(353,1),(357,1),(386,1)}
       376:{2,3,4,7}:{(353,1),(354,1),(358,1),(387,1),(391,1),(392,1)}
       377:{1,3,5,6}:{(355,1),(356,1),(357,1),(390,1),(393,1),(394,1)}
       378:{1,4,7}:{(356,1),(391,1),(393,1)}
       379:{1,3,4,6}:{(357,1),(358,1),(359,1),(392,1),(393,1),(394,1)}
       380:{1,2,5}:{(359,1),(394,1)}
       381:{1,2,6}:{(360,1),(361,1)}
       382:{1,2,3,5,7}:{(361,1),(362,1),(363,1),(368,1),(395,1),(396,1),(410,1)}
       383:{1,2,4}:{(363,1),(369,1)}
       384:{1,2,5,6}:{(364,1),(365,1),(367,1),(373,1),(397,1),(410,1)}
       385:{1,3,5,7}:{(365,1),(366,1),(374,1),(397,1),(398,1)}
       386:{1,3,6}:{(367,1),(368,1),(375,1)}
       387:{1,3,4,7}:{(368,1),(369,1),(376,1),(396,1),(398,1),(399,1)}
       388:{2,4,5,6}:{(370,1),(371,1),(373,1),(400,1),(402,1)}
       389:{3,5,7}:{(371,1),(372,1),(400,1),(401,1)}
       390:{2,3,5,6}:{(373,1),(374,1),(375,1),(377,1),(397,1),(400,1),(402,1),(403,1)}
       391:{2,4,7}:{(374,1),(378,1),(398,1),(401,1),(402,1)}
       392:{2,3,4,6}:{(375,1),(376,1),(379,1),(399,1),(402,1),(403,1)}
       393:{1,4,6}:{(377,1),(378,1),(402,1),(404,1)}
       394:{1,3,5}:{(379,1),(380,1),(403,1),(404,1)}
       395:{1,2,3,6}:{(381,1),(382,1),(386,1),(405,1)}
       396:{1,2,4,7}:{(382,1),(383,1),(387,1),(405,1)}
       397:{1,3,5,6}:{(384,1),(385,1),(386,1),(390,1),(406,1),(407,1)}
       398:{1,4,7}:{(385,1),(391,1),(406,1)}
       399:{1,3,4,6}:{(386,1),(387,1),(392,1),(405,1),(406,1),(407,1)}
       400:{3,5,6}:{(388,1),(389,1),(408,1)}
       401:{3,4,7}:{(389,1),(391,1),(408,1)}
       402:{2,4,6}:{(390,1),(391,1),(393,1),(406,1),(408,1),(409,1)}
       403:{2,3,5}:{(392,1),(394,1),(407,1),(409,1)}
       404:{1,4,5}:{(393,1),(394,1),(409,1)}
       405:{1,2,4,6}:{(395,1),(396,1),(399,1),(410,1)}
       406:{1,4,6}:{(397,1),(398,1),(402,1),(411,1)}
       407:{1,3,5}:{(399,1),(403,1),(410,1),(411,1)}
       408:{3,4,6}:{(400,1),(401,1),(402,1),(412,1)}
       409:{2,4,5}:{(402,1),(403,1),(404,1),(411,1),(412,1)}
       410:{1,2,5}:{(405,1),(407,1)}
       411:{1,4,5}:{(406,1),(407,1),(409,1)}
       412:{3,4,5}:{(408,1),(409,1)}

1978 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(99,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(38,1),(78,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(29,1),(83,1),(108,1),(113,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(45,1),(83,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(45,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(96,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(58,1),(98,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(20,1),(24,1),(49,1),(62,1),(90,1),(96,1)}
         9:{2,4,5}:{(2,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5}:{(3,1),(21,1),(24,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(67,1),(105,1),(108,1)}
        15:{3,4,5,7}:{(5,1),(31,1),(32,1),(112,1),(133,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(32,1),(33,1),(78,1),(135,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(33,1),(35,1),(36,1),(75,1)}
        19:{1,3,4,7}:{(7,1),(8,1),(35,1),(37,1),(42,1),(70,1),(82,1),(107,1),(112,1)}
        20:{2,4,6}:{(8,1),(9,1),(36,1),(37,1),(38,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(38,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(36,1),(40,1),(41,1),(45,1),(85,1)}
        23:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        24:{1,3,6}:{(10,1),(11,1),(38,1),(42,1)}
        25:{1,3,4}:{(11,1),(13,1),(39,1)}
        26:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(43,1),(44,1),(45,1),(85,1)}
        28:{1,2,4,6}:{(14,1),(20,1),(47,1),(48,1),(49,1),(90,1)}
        29:{1,3,5}:{(14,1),(21,1),(49,1),(50,1)}
        30:{4,5,6,7}:{(51,1),(137,1)}
        31:{3,4,6,7}:{(15,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(15,1),(16,1),(17,1),(52,1),(53,1),(98,1),(126,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(53,1),(54,1),(62,1),(90,1),(128,1),(136,1)}
        34:{2,3,6,7}:{(17,1),(52,1),(55,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(53,1),(55,1),(56,1),(95,1)}
        36:{2,5,6}:{(18,1),(20,1),(56,1)}
        37:{2,4,7}:{(19,1),(20,1),(56,1),(58,1)}
        38:{2,3,6}:{(20,1),(21,1),(24,1),(49,1),(58,1)}
        39:{2,3,4}:{(21,1),(25,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(56,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(22,1),(24,1),(57,1),(61,1),(62,1),(64,1),(103,1),(128,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(27,1),(59,1),(62,1),(63,1),(64,1),(103,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(65,1)}
        45:{1,2,5}:{(27,1),(64,1)}
        46:{1,2,3,5}:{(29,1),(66,1),(67,1),(105,1)}
        47:{1,2,5,6}:{(28,1),(36,1),(68,1),(69,1),(105,1),(129,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(38,1),(70,1)}
        50:{1,3,4}:{(29,1),(39,1),(67,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(72,1),(133,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(34,1),(72,1),(73,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(82,1),(107,1),(117,1),(130,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(74,1),(75,1),(78,1),(135,1),(139,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(73,1),(76,1),(111,1)}
        56:{2,5,7}:{(35,1),(36,1),(37,1),(76,1)}
        57:{2,3,5,6}:{(36,1),(38,1),(41,1),(69,1),(75,1),(77,1),(78,1),(80,1),(116,1),(135,1)}
        58:{2,3,7}:{(37,1),(38,1),(42,1),(70,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(79,1),(80,1),(116,1)}
        60:{1,2,6,7}:{(40,1),(76,1),(81,1),(85,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(42,1),(77,1),(81,1),(82,1),(117,1)}
        62:{1,4,6}:{(41,1),(78,1),(82,1),(83,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(44,1),(79,1),(82,1),(84,1)}
        64:{1,3,5}:{(43,1),(45,1),(80,1),(83,1)}
        65:{1,2,5,7}:{(44,1),(45,1),(84,1),(85,1)}
        66:{1,2,3,6}:{(46,1),(49,1),(86,1),(87,1)}
        67:{1,2,4}:{(46,1),(50,1)}
        68:{1,2,5,7}:{(47,1),(48,1),(56,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(57,1),(89,1),(90,1),(92,1),(122,1),(136,1)}
        70:{1,3,7}:{(48,1),(49,1),(58,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(59,1),(87,1),(90,1),(91,1),(92,1),(122,1)}
        72:{2,5,6,7}:{(51,1),(52,1),(93,1),(126,1)}
        73:{1,4,6,7}:{(52,1),(53,1),(55,1),(93,1),(94,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(56,1),(94,1),(95,1),(98,1),(126,1),(137,1)}
        75:{3,5,6}:{(54,1),(95,1),(96,1)}
        76:{2,6,7}:{(55,1),(56,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(89,1),(95,1),(97,1),(98,1),(126,1)}
        78:{2,4,6}:{(57,1),(62,1),(90,1),(96,1),(98,1),(99,1)}
        79:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(98,1),(100,1)}
        80:{2,3,5}:{(59,1),(64,1),(92,1),(99,1)}
        81:{1,3,6,7}:{(60,1),(61,1),(97,1),(101,1),(103,1)}
        82:{1,4,7}:{(61,1),(62,1),(98,1)}
        83:{1,4,5}:{(62,1),(64,1),(99,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(65,1),(100,1),(102,1),(103,1)}
        85:{1,2,6}:{(65,1),(103,1)}
        86:{1,2,3,7}:{(66,1),(70,1),(104,1)}
        87:{1,2,4,6}:{(66,1),(67,1),(71,1),(104,1),(105,1),(129,1)}
        88:{1,2,6,7}:{(68,1),(76,1),(106,1),(129,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(70,1),(77,1),(106,1),(107,1),(130,1)}
        90:{1,4,6}:{(69,1),(78,1),(107,1),(108,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(79,1),(104,1),(107,1),(109,1)}
        92:{1,3,5}:{(71,1),(80,1),(105,1),(108,1)}
        93:{1,5,6,7}:{(72,1),(73,1),(110,1),(117,1),(130,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(110,1),(111,1),(132,1)}
        95:{3,5,7}:{(74,1),(75,1),(111,1),(112,1)}
        96:{3,4,6}:{(75,1),(78,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(76,1),(77,1),(81,1),(106,1),(111,1),(114,1),(116,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(107,1),(112,1)}
        99:{2,4,5}:{(78,1),(80,1),(83,1),(108,1),(113,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(115,1),(116,1)}
       101:{1,4,6,7}:{(81,1),(82,1),(114,1),(117,1),(118,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(84,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(118,1)}
       104:{1,2,4,7}:{(86,1),(87,1),(91,1),(119,1)}
       105:{1,2,5}:{(87,1),(92,1)}
       106:{1,3,6,7}:{(88,1),(89,1),(97,1),(120,1),(122,1)}
       107:{1,4,7}:{(89,1),(90,1),(98,1)}
       108:{1,4,5}:{(90,1),(92,1),(99,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(121,1),(122,1)}
       110:{2,5,6,7}:{(93,1),(94,1),(123,1),(126,1)}
       111:{3,6,7}:{(94,1),(95,1)}
       112:{3,4,7}:{(95,1),(96,1),(98,1)}
       113:{3,4,5}:{(96,1),(99,1)}
       114:{2,4,6,7}:{(97,1),(98,1),(101,1),(120,1),(124,1),(126,1),(127,1)}
       115:{2,4,5,7}:{(98,1),(99,1),(100,1),(102,1),(121,1),(125,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(127,1)}
       117:{1,5,7}:{(101,1),(126,1),(128,1)}
       118:{1,4,6}:{(102,1),(103,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,6,7}:{(106,1),(107,1),(114,1),(130,1),(131,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(109,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(131,1)}
       123:{3,5,6,7}:{(110,1),(111,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(114,1),(132,1),(133,1),(134,1)}
       125:{3,4,5,7}:{(112,1),(113,1),(115,1),(133,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(130,1),(133,1),(135,1)}
       127:{2,4,6}:{(115,1),(116,1),(118,1),(131,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,5,7}:{(120,1),(126,1),(136,1)}
       131:{1,4,6}:{(121,1),(122,1),(127,1),(136,1)}
       132:{4,6,7}:{(123,1),(137,1)}
       133:{3,5,7}:{(124,1),(126,1),(137,1),(138,1)}
       134:{3,4,6}:{(125,1),(127,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1979 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(18,1),(23,1),(48,1),(58,1),(89,1),(90,1),(92,1),(101,1),(126,1),(162,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(11,1),(27,1),(32,1),(41,1),(64,1),(68,1),(70,1),(78,1),(80,1),(106,1),(112,1),(115,1),(122,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(39,1),(77,1),(110,1),(121,1),(142,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(39,1),(76,1),(77,1)}
         4:{1,2,4,6,7}:{(5,1),(11,1),(12,1),(41,1),(42,1),(78,1),(120,1),(143,1),(144,1),(145,1),(152,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(48,1),(49,1),(101,1),(126,1),(133,1),(136,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(50,1),(99,1),(100,1),(125,1),(139,1),(155,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(54,1),(92,1),(94,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(48,1),(88,1)}
         9:{1,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(56,1),(57,1),(98,1),(99,1)}
        10:{2,4,6,7}:{(3,1),(18,1),(21,1),(22,1),(23,1)}
        11:{1,3,6,7}:{(4,1),(14,1),(24,1),(61,1),(128,1),(157,1),(162,1)}
        12:{1,2,5,7}:{(4,1),(15,1),(24,1),(25,1),(99,1),(138,1),(155,1)}
        13:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(64,1),(65,1),(78,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
        14:{2,3,6,7}:{(5,1),(11,1),(27,1),(29,1),(70,1),(82,1),(108,1),(120,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(30,1),(121,1),(142,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(30,1),(32,1),(70,1),(115,1),(117,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(41,1),(64,1),(79,1),(105,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(35,1)}
        19:{3,4,5,7}:{(8,1),(35,1),(39,1),(68,1),(110,1)}
        20:{2,5,6,7}:{(9,1),(30,1),(36,1),(77,1),(120,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(32,1),(36,1),(37,1)}
        22:{2,4,5,7}:{(10,1),(34,1),(37,1),(39,1),(77,1),(152,1)}
        23:{3,4,6,7}:{(10,1),(35,1),(39,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(29,1),(40,1),(41,1)}
        25:{1,2,5,6}:{(12,1),(30,1),(40,1),(42,1),(117,1),(121,1),(145,1),(151,1),(164,1)}
        26:{1,2,4,5,7}:{(12,1),(31,1),(41,1),(42,1),(43,1),(74,1),(79,1),(81,1),(116,1),(121,1),(144,1),(152,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(14,1),(44,1),(86,1),(103,1),(141,1),(162,1)}
        28:{1,2,5,7}:{(13,1),(15,1),(44,1),(45,1),(99,1),(138,1),(139,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(24,1),(44,1),(47,1),(48,1),(50,1),(138,1),(162,1)}
        30:{2,5,6}:{(15,1),(16,1),(49,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(17,1),(48,1),(49,1),(50,1),(88,1)}
        32:{1,4,6}:{(16,1),(17,1),(18,1),(49,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(50,1),(52,1),(53,1),(57,1),(60,1),(85,1),(93,1),(96,1),(100,1),(125,1),(130,1),(137,1),(158,1),(162,1),(171,1)}
        34:{2,4,5,6}:{(18,1),(22,1),(51,1),(54,1),(88,1),(94,1),(161,1)}
        35:{3,4,6}:{(18,1),(19,1),(54,1)}
        36:{2,4,6,7}:{(20,1),(21,1),(49,1),(55,1),(56,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(51,1),(55,1),(57,1),(99,1),(137,1)}
        38:{1,3,4,6,7}:{(21,1),(23,1),(52,1),(56,1),(57,1),(58,1),(96,1),(98,1),(137,1),(162,1)}
        39:{3,5,7}:{(22,1),(23,1),(54,1),(162,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(47,1),(59,1),(61,1),(100,1),(128,1),(155,1),(170,1)}
        41:{1,4,7}:{(24,1),(48,1),(59,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(49,1),(59,1),(61,1),(95,1),(101,1),(136,1),(161,1)}
        43:{1,3,5,7}:{(26,1),(50,1),(60,1),(61,1),(62,1),(100,1),(157,1),(162,1),(170,1),(171,1)}
        44:{1,3,5,7}:{(27,1),(28,1),(29,1),(63,1),(64,1)}
        45:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1),(117,1),(124,1),(142,1),(151,1),(153,1)}
        46:{1,2,4,5,7}:{(28,1),(31,1),(64,1),(65,1),(66,1),(74,1),(105,1),(107,1),(116,1),(123,1),(142,1),(152,1),(153,1),(166,1),(169,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(40,1),(63,1),(67,1),(70,1),(82,1),(108,1),(110,1),(121,1),(142,1),(151,1),(167,1),(168,1)}
        48:{2,4,7}:{(29,1),(41,1),(64,1),(67,1),(68,1)}
        49:{2,4,6}:{(30,1),(31,1),(32,1),(70,1)}
        50:{3,5,7}:{(31,1),(68,1),(70,1),(110,1)}
        51:{1,4,5,6}:{(32,1),(34,1),(37,1),(69,1),(72,1),(79,1),(105,1),(117,1),(150,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(35,1),(70,1),(72,1),(73,1),(113,1),(115,1),(150,1),(168,1)}
        53:{2,4,5,7}:{(33,1),(71,1),(73,1),(74,1),(77,1),(81,1),(107,1),(116,1),(118,1),(121,1),(142,1),(146,1),(152,1),(166,1)}
        54:{3,5,6}:{(34,1),(35,1),(39,1),(110,1),(168,1)}
        55:{2,4,5,7}:{(36,1),(37,1),(69,1),(75,1),(77,1),(118,1)}
        56:{3,6,7}:{(36,1),(70,1),(75,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(39,1),(72,1),(75,1),(77,1)}
        58:{2,4,6,7}:{(38,1),(73,1),(76,1),(77,1),(78,1),(118,1),(120,1),(152,1)}
        59:{1,4,6}:{(40,1),(41,1),(67,1),(79,1),(173,1)}
        60:{1,3,4,7}:{(41,1),(43,1),(68,1),(80,1),(81,1),(173,1),(174,1)}
        61:{1,3,6}:{(42,1),(43,1),(70,1),(82,1),(168,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(116,1),(121,1),(149,1),(167,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(47,1),(84,1),(86,1),(103,1),(125,1),(139,1),(163,1)}
        64:{1,4,7}:{(44,1),(48,1),(84,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(49,1),(84,1),(86,1),(95,1),(126,1),(136,1),(161,1)}
        66:{1,3,5,7}:{(46,1),(50,1),(85,1),(86,1),(87,1),(125,1),(141,1),(162,1),(163,1),(171,1)}
        67:{2,4,6}:{(47,1),(48,1),(59,1),(84,1),(88,1),(89,1),(172,1)}
        68:{3,4,7}:{(48,1),(50,1),(89,1),(162,1)}
        69:{2,4,5,6}:{(49,1),(51,1),(55,1),(88,1),(91,1),(94,1),(134,1)}
        70:{3,6}:{(49,1),(50,1)}
        71:{2,3,5,7}:{(50,1),(53,1),(90,1),(92,1),(93,1),(131,1),(162,1),(171,1)}
        72:{1,3,5,6}:{(51,1),(52,1),(54,1),(57,1),(91,1),(94,1),(100,1),(125,1)}
        73:{2,4,6}:{(52,1),(53,1),(92,1),(94,1),(95,1),(136,1)}
        74:{1,4,5,7}:{(53,1),(93,1),(95,1),(99,1),(102,1),(127,1),(137,1),(139,1),(155,1),(158,1)}
        75:{3,5,7}:{(55,1),(56,1),(91,1),(96,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(92,1),(97,1),(98,1),(162,1)}
        77:{2,5,7}:{(57,1),(58,1),(94,1),(99,1)}
        78:{1,4,6,7}:{(58,1),(95,1),(98,1),(99,1),(137,1)}
        79:{1,4,5}:{(59,1),(88,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(89,1),(100,1),(101,1)}
        81:{2,4,7}:{(60,1),(62,1),(101,1),(102,1),(172,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(136,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(64,1),(67,1),(105,1),(169,1)}
        85:{1,3,4,7}:{(64,1),(66,1),(68,1),(106,1),(107,1),(169,1),(174,1)}
        86:{1,3,6}:{(65,1),(66,1),(70,1),(108,1),(168,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(116,1),(142,1),(149,1),(167,1)}
        88:{2,4,5}:{(67,1),(79,1),(105,1),(110,1),(121,1),(142,1)}
        89:{3,4,6}:{(67,1),(68,1),(70,1),(110,1),(168,1),(174,1)}
        90:{2,3,4,7}:{(68,1),(71,1),(81,1),(107,1),(111,1),(112,1),(118,1),(149,1),(174,1)}
        91:{3,5,6}:{(69,1),(70,1),(75,1),(110,1),(113,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(168,1)}
        93:{1,3,5,7}:{(71,1),(74,1),(112,1),(115,1),(116,1),(147,1)}
        94:{2,5,6}:{(72,1),(73,1),(77,1),(117,1),(121,1),(142,1)}
        95:{1,4,6}:{(73,1),(74,1),(115,1),(117,1)}
        96:{3,4,7}:{(75,1),(113,1),(118,1)}
        97:{2,3,5,7}:{(75,1),(76,1),(77,1),(114,1),(118,1),(119,1)}
        98:{1,3,6,7}:{(76,1),(78,1),(115,1),(119,1),(120,1)}
        99:{1,5,7}:{(77,1),(78,1),(117,1)}
       100:{1,3,5}:{(79,1),(80,1),(110,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,4,7}:{(81,1),(83,1),(122,1),(169,1)}
       103:{1,3,6}:{(82,1),(83,1),(122,1),(124,1)}
       104:{1,2,5,7}:{(83,1),(116,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(88,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(89,1),(125,1),(126,1)}
       107:{2,4,7}:{(85,1),(87,1),(126,1),(127,1),(172,1)}
       108:{2,3,6}:{(86,1),(87,1),(126,1),(128,1),(136,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,5}:{(88,1),(89,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(92,1),(101,1),(126,1),(131,1),(132,1),(134,1),(160,1),(172,1)}
       112:{1,3,4,7}:{(90,1),(93,1),(102,1),(127,1),(132,1),(133,1),(137,1),(141,1),(157,1),(162,1)}
       113:{3,4,6}:{(91,1),(96,1),(130,1),(134,1)}
       114:{2,3,5,6}:{(91,1),(92,1),(94,1),(97,1),(131,1),(134,1),(135,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(136,1)}
       116:{2,5,7}:{(93,1),(133,1),(136,1),(159,1)}
       117:{1,5,6}:{(94,1),(95,1),(99,1),(139,1),(155,1)}
       118:{2,4,7}:{(96,1),(97,1),(134,1),(137,1)}
       119:{1,3,5,7}:{(97,1),(98,1),(99,1),(135,1),(137,1),(138,1),(162,1)}
       120:{2,6,7}:{(98,1),(136,1),(138,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,4,7}:{(102,1),(104,1),(133,1),(140,1),(141,1)}
       124:{1,2,6}:{(103,1),(104,1),(136,1)}
       125:{1,3,5}:{(105,1),(106,1),(110,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,4,7}:{(107,1),(109,1),(143,1),(173,1)}
       128:{1,3,6}:{(108,1),(109,1),(143,1),(145,1)}
       129:{1,2,5,7}:{(109,1),(116,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(121,1),(142,1),(146,1),(147,1)}
       132:{1,3,4,6}:{(111,1),(112,1),(115,1),(122,1),(143,1),(147,1),(148,1),(150,1),(154,1),(165,1),(168,1),(169,1),(173,1),(174,1)}
       133:{2,4,7}:{(112,1),(116,1),(148,1),(149,1)}
       134:{2,4,6}:{(113,1),(114,1),(118,1),(146,1),(150,1)}
       135:{1,3,5,6}:{(114,1),(115,1),(117,1),(119,1),(147,1),(150,1),(151,1),(168,1)}
       136:{2,6}:{(115,1),(116,1)}
       137:{1,4,7}:{(118,1),(119,1),(150,1),(152,1)}
       138:{2,5,7}:{(119,1),(120,1),(151,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(148,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(123,1),(149,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,4,7}:{(127,1),(129,1),(133,1),(156,1),(157,1)}
       145:{1,2,6}:{(128,1),(129,1),(136,1)}
       146:{2,4,5}:{(130,1),(131,1),(134,1),(158,1),(172,1)}
       147:{1,3,5}:{(131,1),(132,1),(139,1),(155,1),(158,1),(159,1),(171,1)}
       148:{2,4,6}:{(132,1),(133,1),(136,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(141,1),(157,1),(160,1),(162,1)}
       150:{1,4,6}:{(134,1),(135,1),(137,1),(158,1),(161,1)}
       151:{2,5,6}:{(135,1),(136,1),(138,1),(159,1),(161,1)}
       152:{2,4,7}:{(137,1),(138,1),(161,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(159,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(160,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(148,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(144,1),(149,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(154,1),(165,1),(167,1),(168,1)}
       161:{2,4,6}:{(150,1),(151,1),(152,1),(166,1),(168,1)}
       162:{3,7}:{(152,1),(168,1)}
       163:{1,3,5}:{(153,1),(154,1),(167,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(159,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(160,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{2,3,5}:{(159,1),(160,1),(163,1),(170,1),(171,1),(172,1)}
       168:{3,6}:{(161,1),(162,1),(171,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,5}:{(166,1),(168,1),(174,1)}
       172:{2,4}:{(167,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

1980 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

1981 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(97,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(36,1),(76,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(29,1),(81,1),(106,1),(110,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(43,1),(81,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(43,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(93,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(15,1),(17,1),(18,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(19,1),(20,1),(23,1),(47,1),(59,1),(88,1),(93,1)}
         8:{2,3,4,7}:{(1,1),(18,1),(20,1),(58,1),(98,1)}
         9:{2,4,5}:{(2,1),(19,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(19,1),(22,1),(23,1),(24,1),(59,1)}
        11:{1,3,5}:{(3,1),(21,1),(23,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(66,1),(104,1),(106,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(30,1),(31,1),(76,1),(135,1)}
        16:{3,4,5,7}:{(5,1),(31,1),(32,1),(111,1),(133,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(30,1),(33,1),(34,1),(71,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(31,1),(34,1),(35,1)}
        19:{2,4,6}:{(7,1),(9,1),(33,1),(36,1),(37,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(34,1),(37,1),(42,1),(70,1),(82,1),(107,1),(111,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(36,1),(38,1)}
        22:{1,2,5,6}:{(10,1),(33,1),(39,1),(40,1),(43,1),(85,1)}
        23:{1,3,6}:{(10,1),(11,1),(36,1),(42,1)}
        24:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        25:{1,3,4}:{(11,1),(13,1),(38,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(41,1),(43,1),(44,1),(85,1)}
        27:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        28:{1,2,4,6}:{(14,1),(19,1),(46,1),(47,1),(48,1),(88,1)}
        29:{1,3,5}:{(14,1),(21,1),(47,1),(49,1)}
        30:{1,4,5,6}:{(15,1),(17,1),(50,1),(51,1),(59,1),(88,1),(128,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(18,1),(51,1),(52,1),(98,1),(127,1)}
        32:{3,4,6,7}:{(16,1),(52,1),(53,1)}
        33:{2,5,6}:{(17,1),(19,1),(55,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(20,1),(51,1),(55,1),(56,1),(94,1)}
        35:{2,3,6,7}:{(18,1),(52,1),(56,1)}
        36:{2,3,6}:{(19,1),(21,1),(23,1),(47,1),(58,1)}
        37:{2,4,7}:{(19,1),(20,1),(55,1),(58,1)}
        38:{2,3,4}:{(21,1),(25,1),(49,1)}
        39:{1,3,5,6}:{(22,1),(23,1),(54,1),(59,1),(60,1),(62,1),(103,1),(128,1)}
        40:{1,2,5,7}:{(22,1),(24,1),(55,1),(60,1),(61,1)}
        41:{1,3,4,6}:{(23,1),(25,1),(26,1),(57,1),(59,1),(62,1),(63,1),(103,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,2,5}:{(26,1),(62,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(64,1)}
        45:{1,2,3,5}:{(29,1),(65,1),(66,1),(104,1)}
        46:{1,2,5,6}:{(28,1),(33,1),(67,1),(68,1),(104,1),(129,1)}
        47:{1,3,6}:{(28,1),(29,1),(36,1),(70,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,4}:{(29,1),(38,1),(66,1)}
        50:{2,4,5,6}:{(30,1),(33,1),(71,1),(72,1),(76,1),(135,1),(139,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(82,1),(107,1),(118,1),(131,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(35,1),(73,1),(74,1)}
        53:{3,5,6,7}:{(32,1),(74,1),(75,1),(133,1)}
        54:{2,3,5,6}:{(33,1),(36,1),(39,1),(67,1),(71,1),(76,1),(77,1),(79,1),(116,1),(135,1)}
        55:{2,5,7}:{(33,1),(34,1),(37,1),(78,1)}
        56:{1,3,6,7}:{(34,1),(35,1),(73,1),(78,1),(112,1)}
        57:{2,3,4,6}:{(36,1),(38,1),(41,1),(69,1),(76,1),(79,1),(80,1),(116,1)}
        58:{2,3,7}:{(36,1),(37,1),(42,1),(70,1)}
        59:{1,4,6}:{(39,1),(76,1),(81,1),(82,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(42,1),(77,1),(82,1),(83,1),(118,1)}
        61:{1,2,6,7}:{(40,1),(78,1),(83,1),(85,1)}
        62:{1,3,5}:{(41,1),(43,1),(79,1),(81,1)}
        63:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1),(82,1),(84,1)}
        64:{1,2,5,7}:{(43,1),(44,1),(84,1),(85,1)}
        65:{1,2,3,6}:{(45,1),(47,1),(86,1),(87,1)}
        66:{1,2,4}:{(45,1),(49,1)}
        67:{1,3,5,6}:{(46,1),(47,1),(54,1),(88,1),(89,1),(91,1),(122,1),(136,1)}
        68:{1,2,5,7}:{(46,1),(48,1),(55,1),(89,1),(90,1)}
        69:{1,3,4,6}:{(47,1),(49,1),(57,1),(86,1),(88,1),(91,1),(92,1),(122,1)}
        70:{1,3,7}:{(47,1),(48,1),(58,1)}
        71:{3,5,6}:{(50,1),(93,1),(94,1)}
        72:{2,4,5,7}:{(50,1),(51,1),(55,1),(94,1),(95,1),(98,1),(127,1),(138,1)}
        73:{1,4,6,7}:{(51,1),(52,1),(56,1),(95,1),(96,1)}
        74:{2,5,6,7}:{(52,1),(53,1),(96,1),(127,1)}
        75:{4,5,6,7}:{(53,1),(138,1)}
        76:{2,4,6}:{(54,1),(59,1),(88,1),(93,1),(97,1),(98,1)}
        77:{2,3,5,7}:{(54,1),(55,1),(58,1),(60,1),(89,1),(94,1),(98,1),(99,1),(127,1)}
        78:{2,6,7}:{(55,1),(56,1)}
        79:{2,3,5}:{(57,1),(62,1),(91,1),(97,1)}
        80:{2,3,4,7}:{(57,1),(58,1),(63,1),(92,1),(98,1),(100,1)}
        81:{1,4,5}:{(59,1),(62,1),(97,1)}
        82:{1,4,7}:{(59,1),(60,1),(98,1)}
        83:{1,3,6,7}:{(60,1),(61,1),(99,1),(102,1),(103,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(100,1),(101,1),(103,1)}
        85:{1,2,6}:{(64,1),(103,1)}
        86:{1,2,4,6}:{(65,1),(66,1),(69,1),(104,1),(105,1),(129,1)}
        87:{1,2,3,7}:{(65,1),(70,1),(105,1)}
        88:{1,4,6}:{(67,1),(76,1),(106,1),(107,1)}
        89:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(107,1),(108,1),(131,1)}
        90:{1,2,6,7}:{(68,1),(78,1),(108,1),(129,1)}
        91:{1,3,5}:{(69,1),(79,1),(104,1),(106,1)}
        92:{1,3,4,7}:{(69,1),(70,1),(80,1),(105,1),(107,1),(109,1)}
        93:{3,4,6}:{(71,1),(76,1),(110,1),(111,1)}
        94:{3,5,7}:{(71,1),(72,1),(111,1),(112,1)}
        95:{2,4,6,7}:{(72,1),(73,1),(78,1),(112,1),(113,1),(134,1)}
        96:{1,5,6,7}:{(73,1),(74,1),(113,1),(118,1),(131,1)}
        97:{2,4,5}:{(76,1),(79,1),(81,1),(106,1),(110,1)}
        98:{2,4,7}:{(76,1),(77,1),(82,1),(107,1),(111,1)}
        99:{2,3,6,7}:{(77,1),(78,1),(83,1),(108,1),(112,1),(115,1),(116,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(114,1),(116,1)}
       101:{1,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(117,1),(118,1)}
       102:{1,4,6,7}:{(82,1),(83,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(117,1)}
       104:{1,2,5}:{(86,1),(91,1)}
       105:{1,2,4,7}:{(86,1),(87,1),(92,1),(119,1)}
       106:{1,4,5}:{(88,1),(91,1),(97,1)}
       107:{1,4,7}:{(88,1),(89,1),(98,1)}
       108:{1,3,6,7}:{(89,1),(90,1),(99,1),(121,1),(122,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(120,1),(122,1)}
       110:{3,4,5}:{(93,1),(97,1)}
       111:{3,4,7}:{(93,1),(94,1),(98,1)}
       112:{3,6,7}:{(94,1),(95,1)}
       113:{2,5,6,7}:{(95,1),(96,1),(125,1),(127,1)}
       114:{2,4,5,7}:{(97,1),(98,1),(100,1),(101,1),(120,1),(123,1),(126,1),(127,1)}
       115:{2,4,6,7}:{(98,1),(99,1),(102,1),(121,1),(124,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(126,1)}
       117:{1,4,6}:{(101,1),(103,1),(126,1),(128,1)}
       118:{1,5,7}:{(102,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(130,1),(131,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(130,1)}
       123:{3,4,5,7}:{(110,1),(111,1),(114,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{3,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6}:{(114,1),(116,1),(117,1),(130,1),(132,1),(135,1)}
       127:{2,5,7}:{(115,1),(118,1),(131,1),(133,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,4,6}:{(120,1),(122,1),(126,1),(136,1)}
       131:{1,5,7}:{(121,1),(127,1),(136,1)}
       132:{3,4,6}:{(123,1),(126,1),(137,1)}
       133:{3,5,7}:{(124,1),(127,1),(137,1),(138,1)}
       134:{4,6,7}:{(125,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

1982 :   0:{1,2,3,5,6}:{(1,1),(2,1),(11,1),(42,1),(47,1),(48,1),(186,1),(190,1),(287,1),(301,1),(388,1),(393,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(68,1),(245,1),(428,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(25,1),(30,1),(74,1),(241,1),(338,1),(424,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(32,1),(89,1),(94,1),(95,1),(115,1),(119,1),(211,1),(225,1),(326,1),(331,1)}
         4:{1,2,4,5}:{(1,1),(11,1),(40,1),(393,1),(462,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(13,1),(14,1),(47,1),(287,1),(292,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(14,1),(109,1),(459,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(47,1),(117,1),(297,1),(301,1),(383,1),(488,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(18,1),(128,1),(170,1),(372,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(57,1),(62,1),(134,1),(166,1),(268,1),(368,1)}
        10:{1,2,4,5,6}:{(4,1),(22,1),(23,1),(26,1),(65,1),(68,1),(151,1),(164,1),(165,1),(232,1),(344,1),(363,1),(428,1)}
        11:{1,3,5}:{(4,1),(5,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(25,1),(26,1),(30,1),(71,1),(85,1)}
        13:{2,3,4,6}:{(5,1),(24,1),(27,1),(28,1),(68,1),(79,1),(254,1),(258,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(25,1),(28,1),(338,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(159,1),(350,1),(457,1),(458,1)}
        16:{1,2,4,5}:{(8,1),(32,1),(87,1),(331,1),(413,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(34,1),(35,1),(94,1),(211,1),(216,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(35,1),(180,1),(410,1)}
        19:{1,2,3,6,7}:{(9,1),(36,1),(94,1),(188,1),(221,1),(225,1),(321,1),(520,1)}
        20:{1,3,4,5,6}:{(37,1),(38,1),(39,1),(86,1),(103,1),(114,1),(185,1),(315,1),(316,1),(405,1)}
        21:{1,3,4,5}:{(11,1),(39,1),(40,1),(462,1),(476,1)}
        22:{1,3,5,6}:{(10,1),(11,1),(39,1),(42,1),(43,1),(47,1),(287,1),(405,1)}
        23:{1,2,4,5,7}:{(10,1),(43,1),(44,1),(105,1),(109,1),(206,1),(214,1),(215,1),(288,1),(384,1),(401,1),(459,1)}
        24:{2,3,5}:{(11,1),(13,1),(40,1),(45,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(14,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(12,1),(47,1),(48,1),(113,1),(123,1)}
        27:{1,3,4,6}:{(13,1),(45,1),(49,1),(50,1),(108,1),(121,1),(211,1),(216,1)}
        28:{2,3,4,7}:{(13,1),(14,1),(46,1),(50,1),(109,1),(308,1)}
        29:{1,3,4,6,7}:{(14,1),(15,1),(47,1),(51,1),(52,1),(123,1),(383,1),(387,1),(418,1),(421,1),(422,1),(459,1)}
        30:{1,2,5,7}:{(15,1),(48,1),(52,1),(214,1),(393,1)}
        31:{1,2,4,5,6}:{(16,1),(54,1),(55,1),(58,1),(65,1),(128,1),(151,1),(157,1),(239,1),(240,1),(274,1),(363,1),(372,1)}
        32:{1,3,5}:{(16,1),(17,1),(56,1)}
        33:{1,2,4,5,7}:{(16,1),(18,1),(57,1),(58,1),(62,1),(131,1),(145,1)}
        34:{2,3,4,6}:{(17,1),(56,1),(59,1),(60,1),(128,1),(139,1),(254,1),(258,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(57,1),(60,1),(268,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(58,1),(61,1),(62,1),(234,1),(280,1),(498,1),(499,1)}
        37:{2,4,5,6}:{(20,1),(64,1),(65,1),(66,1),(68,1),(128,1),(151,1),(164,1),(239,1)}
        38:{1,3,4,5,7}:{(20,1),(66,1),(67,1),(69,1),(129,1),(152,1),(160,1),(235,1),(359,1),(360,1),(440,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(68,1),(69,1),(428,1),(443,1)}
        40:{2,4,5}:{(21,1),(24,1),(68,1),(70,1)}
        41:{1,3,4,5,7}:{(21,1),(25,1),(69,1),(71,1),(72,1),(85,1),(160,1),(178,1)}
        42:{2,3,5,6}:{(22,1),(24,1),(68,1),(73,1),(74,1),(79,1),(151,1),(164,1),(254,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(69,1),(74,1),(75,1),(338,1),(440,1)}
        44:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(154,1),(159,1),(169,1),(263,1),(365,1)}
        45:{1,3,5}:{(24,1),(27,1),(70,1),(77,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(28,1),(71,1),(78,1),(79,1)}
        47:{1,3,6}:{(25,1),(26,1),(79,1)}
        48:{1,2,5,6}:{(26,1),(30,1),(80,1),(164,1),(457,1)}
        49:{1,2,4,6}:{(27,1),(77,1),(81,1),(82,1),(170,1),(172,1)}
        50:{1,3,4,7}:{(27,1),(28,1),(78,1),(82,1),(158,1),(268,1)}
        51:{2,3,4,6,7}:{(28,1),(29,1),(79,1),(83,1),(84,1),(159,1),(174,1),(279,1),(357,1),(361,1),(376,1),(379,1),(381,1),(439,1)}
        52:{1,3,5,7}:{(29,1),(30,1),(80,1),(84,1),(85,1),(427,1),(450,1)}
        53:{1,3,4,5}:{(32,1),(86,1),(87,1),(413,1),(476,1)}
        54:{1,3,5,6}:{(31,1),(32,1),(86,1),(89,1),(90,1),(94,1),(211,1),(405,1)}
        55:{1,2,4,5,7}:{(31,1),(90,1),(91,1),(105,1),(180,1),(206,1),(212,1),(290,1),(291,1),(322,1),(401,1),(410,1)}
        56:{2,3,5}:{(32,1),(34,1),(87,1),(92,1)}
        57:{1,3,5,7}:{(32,1),(33,1),(35,1),(93,1),(94,1)}
        58:{1,2,4,6}:{(33,1),(94,1),(95,1),(184,1),(194,1)}
        59:{1,3,4,6}:{(34,1),(92,1),(96,1),(97,1),(179,1),(192,1),(287,1),(292,1)}
        60:{2,3,4,7}:{(34,1),(35,1),(93,1),(97,1),(180,1),(308,1)}
        61:{1,3,4,6,7}:{(35,1),(36,1),(94,1),(98,1),(99,1),(194,1),(321,1),(325,1),(410,1),(467,1),(470,1),(471,1)}
        62:{1,2,5,7}:{(36,1),(95,1),(99,1),(290,1),(331,1)}
        63:{2,3,4,5}:{(40,1),(87,1),(100,1),(101,1),(202,1),(476,1)}
        64:{2,3,5,6}:{(37,1),(100,1),(103,1),(104,1),(405,1)}
        65:{1,4,5,6}:{(37,1),(103,1),(105,1),(108,1),(179,1),(219,1),(295,1)}
        66:{2,4,5,7}:{(37,1),(38,1),(104,1),(105,1),(106,1),(109,1),(180,1),(206,1),(214,1),(290,1)}
        67:{1,3,4,6,7}:{(38,1),(106,1),(107,1),(207,1),(318,1),(319,1),(407,1)}
        68:{2,4,6}:{(39,1),(40,1),(42,1),(108,1),(109,1)}
        69:{1,3,4,7}:{(39,1),(43,1),(109,1),(459,1),(473,1)}
        70:{1,4,5}:{(40,1),(45,1),(108,1)}
        71:{2,4,5,7}:{(40,1),(41,1),(46,1),(109,1),(112,1),(113,1),(214,1)}
        72:{1,3,4,6}:{(41,1),(47,1),(113,1),(114,1),(123,1),(228,1)}
        73:{1,3,5,6}:{(42,1),(45,1),(108,1),(115,1),(116,1),(121,1),(211,1),(219,1)}
        74:{2,3,5,7}:{(42,1),(43,1),(109,1),(116,1),(117,1),(206,1),(214,1),(308,1)}
        75:{1,3,6,7}:{(43,1),(44,1),(47,1),(117,1),(407,1)}
        76:{1,2,5,6,7}:{(44,1),(48,1),(118,1),(209,1),(214,1),(317,1),(384,1),(485,1)}
        77:{1,2,5}:{(45,1),(49,1)}
        78:{1,3,5,7}:{(45,1),(46,1),(50,1),(112,1),(120,1),(121,1)}
        79:{2,3,6}:{(46,1),(47,1),(113,1),(121,1)}
        80:{1,3,5,6}:{(47,1),(48,1),(52,1),(122,1),(123,1),(416,1),(421,1)}
        81:{1,2,3,6}:{(49,1),(119,1),(124,1),(211,1)}
        82:{1,2,4,7}:{(49,1),(50,1),(120,1),(124,1)}
        83:{1,3,4,6,7}:{(50,1),(51,1),(121,1),(125,1),(126,1),(213,1),(227,1),(321,1),(325,1),(333,1),(335,1),(410,1)}
        84:{2,3,5,7}:{(51,1),(52,1),(122,1),(126,1),(127,1),(214,1),(324,1),(403,1),(412,1)}
        85:{1,4,5,7}:{(52,1),(123,1),(127,1),(459,1),(462,1)}
        86:{1,3,4,6}:{(53,1),(54,1),(128,1),(129,1),(372,1),(443,1)}
        87:{2,4,5}:{(53,1),(56,1),(128,1),(130,1)}
        88:{1,3,4,5,7}:{(53,1),(57,1),(129,1),(131,1),(132,1),(145,1),(235,1),(253,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(128,1),(133,1),(134,1),(139,1),(151,1),(239,1),(254,1)}
        90:{1,3,5,7}:{(54,1),(55,1),(129,1),(134,1),(135,1),(268,1),(440,1)}
        91:{1,2,4,6,7}:{(55,1),(58,1),(135,1),(136,1),(154,1),(234,1),(244,1),(263,1),(365,1)}
        92:{1,3,5}:{(56,1),(59,1),(130,1),(137,1)}
        93:{2,3,5,7}:{(56,1),(57,1),(60,1),(131,1),(138,1),(139,1)}
        94:{1,3,6}:{(57,1),(58,1),(139,1)}
        95:{1,2,5,6}:{(58,1),(62,1),(140,1),(239,1),(498,1)}
        96:{1,2,4,6}:{(59,1),(137,1),(141,1),(142,1),(245,1),(247,1)}
        97:{1,3,4,7}:{(59,1),(60,1),(138,1),(142,1),(233,1),(338,1)}
        98:{2,3,4,6,7}:{(60,1),(61,1),(139,1),(143,1),(144,1),(234,1),(249,1),(349,1),(357,1),(361,1),(432,1),(435,1),(437,1),(439,1)}
        99:{1,3,5,7}:{(61,1),(62,1),(140,1),(144,1),(145,1),(371,1),(491,1)}
       100:{2,3,4,6}:{(63,1),(64,1),(68,1),(128,1),(146,1),(147,1),(254,1),(443,1)}
       101:{1,3,4,5}:{(63,1),(70,1),(130,1),(146,1),(148,1),(161,1),(236,1)}
       102:{2,3,4,5,7}:{(63,1),(71,1),(131,1),(147,1),(149,1),(150,1),(178,1),(253,1),(257,1),(259,1),(286,1),(356,1),(439,1),(442,1),(500,1),(502,1)}
       103:{1,3,5,6}:{(64,1),(65,1),(146,1),(151,1),(152,1)}
       104:{2,3,5,7}:{(64,1),(66,1),(147,1),(152,1),(153,1),(440,1)}
       105:{1,4,5,7}:{(65,1),(66,1),(152,1),(154,1),(158,1),(233,1),(270,1),(340,1)}
       106:{2,4,6,7}:{(66,1),(67,1),(153,1),(154,1),(155,1),(263,1)}
       107:{1,3,5,6,7}:{(67,1),(155,1),(156,1),(160,1),(235,1),(267,1)}
       108:{1,4,6}:{(68,1),(70,1),(73,1),(158,1)}
       109:{2,4,7}:{(68,1),(69,1),(74,1),(158,1)}
       110:{1,3,4,6,7}:{(69,1),(72,1),(75,1),(159,1),(160,1),(169,1),(279,1)}
       111:{1,2,4,5}:{(70,1),(77,1),(148,1),(157,1),(161,1),(170,1)}
       112:{1,4,5,7}:{(70,1),(71,1),(78,1),(158,1),(163,1),(270,1)}
       113:{2,4,6}:{(71,1),(72,1),(79,1),(163,1),(164,1)}
       114:{1,3,5,6}:{(72,1),(160,1),(164,1),(165,1),(276,1)}
       115:{1,2,5,6}:{(73,1),(77,1),(151,1),(157,1),(166,1),(172,1)}
       116:{1,3,5,7}:{(73,1),(74,1),(158,1),(166,1),(167,1),(268,1),(270,1)}
       117:{2,3,6,7}:{(74,1),(75,1),(79,1),(159,1),(167,1),(263,1)}
       118:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(160,1),(168,1),(169,1),(424,1),(450,1),(454,1)}
       119:{1,2,3,5}:{(77,1),(81,1),(161,1),(170,1)}
       120:{1,2,5,7}:{(77,1),(78,1),(82,1),(172,1)}
       121:{1,3,6}:{(78,1),(79,1),(163,1),(172,1)}
       122:{2,3,5,6}:{(79,1),(80,1),(84,1),(164,1),(173,1),(174,1),(276,1),(374,1),(379,1)}
       123:{1,4,6}:{(80,1),(85,1),(174,1)}
       124:{1,2,3,7}:{(81,1),(82,1),(268,1)}
       125:{1,2,4,6,7}:{(82,1),(83,1),(172,1),(175,1),(176,1),(280,1),(282,1),(284,1),(376,1)}
       126:{1,3,5,7}:{(83,1),(84,1),(173,1),(176,1),(177,1),(270,1),(371,1)}
       127:{2,4,5,7}:{(84,1),(85,1),(174,1),(177,1),(178,1),(439,1),(442,1)}
       128:{2,4,6}:{(86,1),(87,1),(89,1),(179,1),(180,1)}
       129:{1,3,4,7}:{(86,1),(90,1),(180,1),(410,1),(473,1)}
       130:{1,4,5}:{(87,1),(92,1),(179,1)}
       131:{2,4,5,7}:{(87,1),(88,1),(93,1),(180,1),(183,1),(184,1),(290,1)}
       132:{1,3,4,6}:{(88,1),(94,1),(184,1),(185,1),(194,1),(304,1)}
       133:{1,3,5,6}:{(89,1),(92,1),(179,1),(186,1),(187,1),(192,1),(287,1),(295,1)}
       134:{2,3,5,7}:{(89,1),(90,1),(180,1),(187,1),(188,1),(206,1),(290,1),(308,1)}
       135:{1,3,6,7}:{(90,1),(91,1),(94,1),(188,1),(407,1)}
       136:{1,2,5,6,7}:{(91,1),(95,1),(189,1),(209,1),(290,1),(317,1),(322,1),(517,1)}
       137:{1,2,5}:{(92,1),(96,1)}
       138:{1,3,5,7}:{(92,1),(93,1),(97,1),(183,1),(191,1),(192,1)}
       139:{2,3,6}:{(93,1),(94,1),(184,1),(192,1)}
       140:{1,3,5,6}:{(94,1),(95,1),(99,1),(193,1),(194,1),(465,1),(470,1)}
       141:{1,2,3,6}:{(96,1),(190,1),(195,1),(287,1)}
       142:{1,2,4,7}:{(96,1),(97,1),(191,1),(195,1)}
       143:{1,3,4,6,7}:{(97,1),(98,1),(192,1),(196,1),(197,1),(289,1),(303,1),(383,1),(387,1),(395,1),(397,1),(459,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(193,1),(197,1),(198,1),(290,1),(386,1),(403,1),(461,1)}
       145:{1,4,5,7}:{(99,1),(194,1),(198,1),(410,1),(413,1)}
       146:{1,3,4,6}:{(100,1),(101,1),(103,1),(108,1),(179,1),(199,1),(200,1),(211,1),(287,1)}
       147:{2,3,4,7}:{(100,1),(104,1),(109,1),(180,1),(200,1),(308,1),(473,1)}
       148:{2,4,5}:{(101,1),(199,1),(202,1)}
       149:{1,3,4,5,7}:{(101,1),(102,1),(112,1),(183,1),(200,1),(203,1),(204,1),(217,1),(293,1),(310,1),(337,1),(399,1),(410,1),(413,1),(459,1),(462,1),(473,1),(476,1),(521,1),(523,1)}
       150:{2,3,4,6}:{(102,1),(113,1),(184,1),(204,1),(205,1),(228,1),(304,1),(313,1),(334,1),(396,1),(404,1)}
       151:{2,5,6}:{(103,1),(199,1),(206,1)}
       152:{1,3,5,7}:{(103,1),(104,1),(105,1),(200,1),(206,1),(207,1)}
       153:{2,3,6,7}:{(104,1),(106,1),(207,1),(407,1)}
       154:{1,4,6,7}:{(105,1),(106,1),(207,1),(209,1)}
       155:{2,5,6,7}:{(106,1),(107,1),(209,1),(214,1),(290,1)}
       156:{1,4,5,6,7}:{(107,1),(210,1),(215,1),(291,1),(318,1),(409,1)}
       157:{1,2,4,6}:{(108,1),(111,1),(115,1),(199,1),(211,1),(212,1)}
       158:{1,4,7}:{(108,1),(109,1),(116,1)}
       159:{2,4,6,7}:{(109,1),(110,1),(113,1),(117,1),(213,1),(214,1)}
       160:{1,3,5,7}:{(110,1),(114,1),(214,1),(215,1),(324,1)}
       161:{1,3,5}:{(111,1),(202,1),(211,1),(216,1)}
       162:{1,2,4,5,7}:{(111,1),(112,1),(120,1),(203,1),(212,1),(217,1),(218,1),(224,1),(322,1),(331,1),(399,1),(410,1),(413,1),(472,1),(541,1),(542,1)}
       163:{1,4,6}:{(112,1),(113,1),(121,1),(219,1)}
       164:{2,5,6}:{(113,1),(114,1),(214,1),(219,1)}
       165:{1,4,5,6}:{(114,1),(123,1),(215,1),(220,1),(416,1)}
       166:{1,2,5,7}:{(115,1),(116,1),(206,1),(212,1),(221,1)}
       167:{1,3,6,7}:{(116,1),(117,1),(121,1),(213,1),(221,1)}
       168:{2,3,5,6,7}:{(117,1),(118,1),(122,1),(214,1),(222,1),(223,1),(317,1),(324,1),(400,1),(407,1),(412,1),(417,1)}
       169:{1,4,6,7}:{(118,1),(123,1),(215,1),(223,1),(459,1)}
       170:{1,2,4}:{(119,1),(216,1)}
       171:{1,2,3,5,7}:{(119,1),(120,1),(124,1),(217,1),(224,1),(225,1),(331,1),(472,1),(520,1),(544,1)}
       172:{1,2,6}:{(120,1),(121,1)}
       173:{1,3,5,6}:{(121,1),(122,1),(126,1),(219,1),(226,1),(227,1),(333,1)}
       174:{2,4,6}:{(122,1),(123,1),(127,1),(227,1),(228,1)}
       175:{1,2,3,6,7}:{(124,1),(125,1),(225,1),(229,1),(321,1),(333,1),(417,1),(517,1)}
       176:{1,2,5,7}:{(125,1),(126,1),(226,1),(331,1),(412,1)}
       177:{1,4,5,7}:{(126,1),(127,1),(227,1),(410,1),(413,1)}
       178:{3,4,5,7}:{(127,1),(228,1),(324,1),(473,1),(476,1)}
       179:{1,4,6}:{(128,1),(130,1),(133,1),(233,1)}
       180:{2,4,7}:{(128,1),(129,1),(134,1),(233,1)}
       181:{1,3,4,6,7}:{(129,1),(132,1),(135,1),(234,1),(235,1),(244,1),(349,1)}
       182:{1,2,4,5}:{(130,1),(137,1),(148,1),(232,1),(236,1),(245,1)}
       183:{1,4,5,7}:{(130,1),(131,1),(138,1),(233,1),(238,1),(340,1)}
       184:{2,4,6}:{(131,1),(132,1),(139,1),(238,1),(239,1)}
       185:{1,3,5,6}:{(132,1),(235,1),(239,1),(240,1),(346,1)}
       186:{1,2,5,6}:{(133,1),(137,1),(151,1),(232,1),(241,1),(247,1)}
       187:{1,3,5,7}:{(133,1),(134,1),(233,1),(241,1),(242,1),(338,1),(340,1)}
       188:{2,3,6,7}:{(134,1),(135,1),(139,1),(234,1),(242,1),(263,1)}
       189:{1,3,5,6,7}:{(135,1),(136,1),(140,1),(235,1),(243,1),(244,1),(368,1),(491,1),(495,1)}
       190:{1,2,3,5}:{(137,1),(141,1),(236,1),(245,1)}
       191:{1,2,5,7}:{(137,1),(138,1),(142,1),(247,1)}
       192:{1,3,6}:{(138,1),(139,1),(238,1),(247,1)}
       193:{2,3,5,6}:{(139,1),(140,1),(144,1),(239,1),(248,1),(249,1),(346,1),(430,1),(435,1)}
       194:{1,4,6}:{(140,1),(145,1),(249,1)}
       195:{1,2,3,7}:{(141,1),(142,1),(338,1)}
       196:{1,2,4,6,7}:{(142,1),(143,1),(247,1),(250,1),(251,1),(350,1),(352,1),(354,1),(432,1)}
       197:{1,3,5,7}:{(143,1),(144,1),(248,1),(251,1),(252,1),(340,1),(427,1)}
       198:{2,4,5,7}:{(144,1),(145,1),(249,1),(252,1),(253,1),(439,1),(442,1)}
       199:{2,4,6}:{(146,1),(148,1),(151,1),(254,1),(255,1)}
       200:{1,3,4,7}:{(146,1),(147,1),(152,1),(158,1),(233,1),(255,1),(268,1),(338,1)}
       201:{2,3,4,6,7}:{(147,1),(150,1),(153,1),(159,1),(234,1),(256,1),(257,1),(265,1),(279,1),(349,1),(357,1),(376,1),(432,1),(439,1),(446,1),(500,1)}
       202:{2,3,5}:{(148,1),(161,1),(236,1),(254,1),(258,1)}
       203:{2,4,5,7}:{(148,1),(149,1),(255,1),(259,1),(260,1),(358,1),(439,1),(442,1),(535,1),(536,1)}
       204:{1,3,4,6}:{(149,1),(150,1),(163,1),(238,1),(260,1),(261,1),(273,1),(343,1),(372,1),(380,1),(428,1),(436,1),(443,1)}
       205:{2,3,5,6}:{(150,1),(164,1),(239,1),(257,1),(261,1),(262,1),(276,1),(346,1),(374,1),(430,1)}
       206:{2,5,7}:{(151,1),(152,1),(255,1),(263,1)}
       207:{1,3,6,7}:{(152,1),(153,1),(154,1),(263,1)}
       208:{2,3,5,6,7}:{(153,1),(155,1),(257,1),(264,1),(265,1),(267,1),(367,1),(446,1)}
       209:{1,5,6,7}:{(154,1),(155,1),(270,1),(340,1)}
       210:{2,4,5,6,7}:{(155,1),(156,1),(265,1),(266,1),(267,1),(271,1),(341,1),(365,1),(367,1)}
       211:{1,3,6}:{(157,1),(161,1),(254,1),(268,1)}
       212:{1,2,4,7}:{(157,1),(158,1),(166,1),(255,1),(268,1)}
       213:{1,4,6,7}:{(158,1),(159,1),(163,1),(167,1),(270,1)}
       214:{2,5,7}:{(159,1),(160,1),(164,1),(270,1)}
       215:{1,4,5,7}:{(160,1),(165,1),(169,1),(271,1),(450,1)}
       216:{1,3,4}:{(161,1),(170,1),(258,1)}
       217:{1,3,5,7}:{(161,1),(162,1),(259,1),(268,1),(272,1),(273,1),(371,1),(548,1),(549,1)}
       218:{1,2,4,6}:{(162,1),(163,1),(172,1),(260,1),(273,1),(274,1),(372,1),(436,1),(498,1)}
       219:{1,5,6}:{(163,1),(164,1),(270,1)}
       220:{2,4,5,6}:{(164,1),(165,1),(174,1),(271,1),(275,1),(276,1),(374,1)}
       221:{1,2,6,7}:{(166,1),(167,1),(172,1),(263,1)}
       222:{1,3,5,6,7}:{(167,1),(168,1),(173,1),(270,1),(277,1),(278,1),(368,1),(370,1),(375,1)}
       223:{2,4,6,7}:{(168,1),(169,1),(174,1),(271,1),(278,1),(279,1),(439,1)}
       224:{1,2,4,7}:{(170,1),(171,1),(272,1),(280,1),(550,1)}
       225:{1,2,3,6}:{(171,1),(172,1),(273,1),(280,1),(498,1)}
       226:{1,2,5,6}:{(172,1),(173,1),(176,1),(282,1),(374,1)}
       227:{1,4,6}:{(173,1),(174,1),(177,1)}
       228:{3,4,6}:{(174,1),(178,1),(276,1)}
       229:{1,2,3,5,7}:{(175,1),(176,1),(281,1),(284,1),(285,1),(368,1),(449,1),(530,1),(548,1)}
       230:{1,2,4,5,7}:{(176,1),(177,1),(282,1),(284,1),(285,1),(286,1),(377,1)}
       231:{1,3,4,5,7}:{(177,1),(178,1),(283,1),(285,1),(286,1),(370,1),(448,1),(451,1)}
       232:{1,2,4,6}:{(179,1),(182,1),(186,1),(199,1),(287,1),(288,1)}
       233:{1,4,7}:{(179,1),(180,1),(187,1)}
       234:{2,4,6,7}:{(180,1),(181,1),(184,1),(188,1),(289,1),(290,1)}
       235:{1,3,5,7}:{(181,1),(185,1),(290,1),(291,1),(386,1)}
       236:{1,3,5}:{(182,1),(202,1),(287,1),(292,1)}
       237:{1,2,4,5,7}:{(182,1),(183,1),(191,1),(203,1),(288,1),(293,1),(294,1),(300,1),(337,1),(384,1),(393,1),(423,1),(459,1),(462,1),(525,1),(526,1)}
       238:{1,4,6}:{(183,1),(184,1),(192,1),(295,1)}
       239:{2,5,6}:{(184,1),(185,1),(290,1),(295,1)}
       240:{1,4,5,6}:{(185,1),(194,1),(291,1),(296,1),(465,1)}
       241:{1,2,5,7}:{(186,1),(187,1),(206,1),(288,1),(297,1)}
       242:{1,3,6,7}:{(187,1),(188,1),(192,1),(289,1),(297,1)}
       243:{2,3,5,6,7}:{(188,1),(189,1),(193,1),(290,1),(298,1),(299,1),(317,1),(386,1),(400,1),(407,1),(461,1),(466,1)}
       244:{1,4,6,7}:{(189,1),(194,1),(291,1),(299,1),(410,1)}
       245:{1,2,4}:{(190,1),(292,1)}
       246:{1,2,3,5,7}:{(190,1),(191,1),(195,1),(293,1),(300,1),(301,1),(393,1),(423,1),(488,1),(528,1)}
       247:{1,2,6}:{(191,1),(192,1)}
       248:{1,3,5,6}:{(192,1),(193,1),(197,1),(295,1),(302,1),(303,1),(395,1)}
       249:{2,4,6}:{(193,1),(194,1),(198,1),(303,1),(304,1)}
       250:{1,2,3,6,7}:{(195,1),(196,1),(301,1),(305,1),(383,1),(395,1),(466,1),(485,1)}
       251:{1,2,5,7}:{(196,1),(197,1),(302,1),(393,1),(461,1)}
       252:{1,4,5,7}:{(197,1),(198,1),(303,1),(459,1),(462,1)}
       253:{3,4,5,7}:{(198,1),(304,1),(386,1),(473,1),(476,1)}
       254:{2,3,6}:{(199,1),(202,1),(211,1),(287,1),(308,1)}
       255:{2,4,7}:{(199,1),(200,1),(206,1),(308,1)}
       256:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(207,1),(213,1),(289,1),(309,1),(310,1),(318,1),(321,1),(383,1),(407,1),(410,1),(418,1),(459,1),(467,1),(473,1),(479,1),(521,1)}
       257:{2,3,5,7}:{(201,1),(205,1),(214,1),(290,1),(310,1),(311,1),(324,1),(386,1),(412,1),(461,1)}
       258:{2,3,4}:{(202,1),(216,1),(292,1)}
       259:{2,3,5,7}:{(202,1),(203,1),(217,1),(293,1),(308,1),(312,1),(313,1),(403,1),(545,1),(546,1)}
       260:{2,4,6}:{(203,1),(204,1),(313,1),(314,1)}
       261:{1,3,5,6}:{(204,1),(205,1),(219,1),(295,1),(310,1),(314,1),(315,1),(405,1),(416,1),(465,1)}
       262:{2,4,5,6}:{(205,1),(311,1),(315,1),(316,1),(404,1)}
       263:{2,6,7}:{(206,1),(207,1)}
       264:{1,3,5,6,7}:{(207,1),(208,1),(209,1),(310,1),(317,1),(318,1),(407,1),(409,1),(479,1)}
       265:{2,4,6,7}:{(208,1),(311,1),(318,1),(319,1)}
       266:{1,4,5,6,7}:{(209,1),(210,1),(318,1),(320,1),(323,1),(385,1)}
       267:{3,5,6,7}:{(210,1),(319,1),(324,1),(386,1),(407,1)}
       268:{1,3,7}:{(211,1),(212,1),(308,1)}
       269:{1,2,4,6,7}:{(212,1),(213,1),(218,1),(221,1),(309,1),(321,1),(322,1),(410,1),(467,1),(517,1),(541,1)}
       270:{1,5,7}:{(213,1),(214,1),(219,1)}
       271:{2,4,5,7}:{(214,1),(215,1),(220,1),(223,1),(323,1),(324,1),(412,1)}
       272:{1,3,4,7}:{(216,1),(217,1),(224,1),(312,1),(325,1),(410,1),(552,1)}
       273:{1,3,6}:{(217,1),(218,1),(313,1)}
       274:{1,2,5,6}:{(218,1),(219,1),(314,1),(322,1),(326,1),(331,1),(465,1)}
       275:{1,4,5,6}:{(219,1),(220,1),(227,1),(323,1),(328,1)}
       276:{3,5,6}:{(220,1),(228,1),(324,1)}
       277:{1,2,5,6,7}:{(221,1),(222,1),(226,1),(317,1),(322,1),(329,1),(409,1),(412,1)}
       278:{1,4,6,7}:{(222,1),(223,1),(227,1),(323,1),(410,1)}
       279:{3,4,6,7}:{(223,1),(228,1),(324,1),(407,1),(473,1)}
       280:{1,2,4,6}:{(224,1),(225,1),(325,1),(331,1)}
       281:{1,2,3,5,6}:{(225,1),(226,1),(229,1),(326,1),(331,1),(332,1),(333,1),(415,1),(419,1),(516,1),(543,1),(544,1)}
       282:{1,2,4,6}:{(226,1),(227,1),(230,1),(333,1),(334,1)}
       283:{1,3,4,6}:{(227,1),(228,1),(231,1),(328,1),(333,1),(334,1)}
       284:{1,2,4,7}:{(229,1),(332,1),(335,1),(410,1),(480,1)}
       285:{1,3,5,7}:{(230,1),(333,1),(335,1),(336,1),(419,1)}
       286:{2,4,5,7}:{(231,1),(334,1),(336,1),(337,1),(412,1),(480,1),(482,1)}
       287:{1,3,6}:{(232,1),(236,1),(254,1),(338,1)}
       288:{1,2,4,7}:{(232,1),(233,1),(241,1),(255,1),(338,1)}
       289:{1,4,6,7}:{(233,1),(234,1),(238,1),(242,1),(340,1)}
       290:{2,5,7}:{(234,1),(235,1),(239,1),(340,1)}
       291:{1,4,5,7}:{(235,1),(240,1),(244,1),(341,1),(491,1)}
       292:{1,3,4}:{(236,1),(245,1),(258,1)}
       293:{1,3,5,7}:{(236,1),(237,1),(259,1),(338,1),(342,1),(343,1),(427,1),(538,1),(539,1)}
       294:{1,2,4,6}:{(237,1),(238,1),(247,1),(260,1),(343,1),(344,1),(380,1),(428,1),(457,1)}
       295:{1,5,6}:{(238,1),(239,1),(340,1)}
       296:{2,4,5,6}:{(239,1),(240,1),(249,1),(341,1),(345,1),(346,1),(430,1)}
       297:{1,2,6,7}:{(241,1),(242,1),(247,1),(263,1)}
       298:{1,3,5,6,7}:{(242,1),(243,1),(248,1),(340,1),(347,1),(348,1),(424,1),(426,1),(431,1)}
       299:{2,4,6,7}:{(243,1),(244,1),(249,1),(341,1),(348,1),(349,1),(439,1)}
       300:{1,2,4,7}:{(245,1),(246,1),(342,1),(350,1),(540,1)}
       301:{1,2,3,6}:{(246,1),(247,1),(343,1),(350,1),(457,1)}
       302:{1,2,5,6}:{(247,1),(248,1),(251,1),(352,1),(430,1)}
       303:{1,4,6}:{(248,1),(249,1),(252,1)}
       304:{3,4,6}:{(249,1),(253,1),(346,1)}
       305:{1,2,3,5,7}:{(250,1),(251,1),(351,1),(354,1),(355,1),(424,1),(490,1),(507,1),(538,1)}
       306:{1,2,4,5,7}:{(251,1),(252,1),(352,1),(354,1),(355,1),(356,1),(433,1)}
       307:{1,3,4,5,7}:{(252,1),(253,1),(353,1),(355,1),(356,1),(426,1),(489,1),(492,1)}
       308:{2,3,7}:{(254,1),(255,1),(268,1),(338,1)}
       309:{2,4,6,7}:{(255,1),(256,1),(260,1),(263,1),(357,1),(358,1),(439,1),(505,1),(535,1)}
       310:{1,3,5,7}:{(256,1),(257,1),(261,1),(270,1),(340,1),(358,1),(359,1),(440,1),(450,1),(491,1)}
       311:{2,4,5,7}:{(257,1),(262,1),(265,1),(359,1),(360,1),(439,1)}
       312:{2,3,4,7}:{(258,1),(259,1),(272,1),(342,1),(361,1),(439,1),(551,1)}
       313:{2,3,6}:{(259,1),(260,1),(273,1),(343,1)}
       314:{2,5,6}:{(260,1),(261,1),(358,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(359,1),(363,1),(372,1),(428,1)}
       316:{3,4,5,6}:{(262,1),(276,1),(346,1),(360,1),(443,1)}
       317:{2,5,6,7}:{(263,1),(264,1),(358,1),(365,1),(505,1)}
       318:{1,4,6,7}:{(264,1),(265,1),(359,1),(365,1)}
       319:{3,4,6,7}:{(265,1),(267,1),(360,1)}
       320:{1,3,5,6,7}:{(266,1),(267,1),(366,1),(367,1),(370,1),(426,1)}
       321:{1,3,6,7}:{(268,1),(269,1),(273,1),(357,1),(368,1),(548,1)}
       322:{1,2,5,7}:{(269,1),(270,1),(274,1),(358,1),(368,1),(491,1)}
       323:{1,4,5,7}:{(270,1),(271,1),(275,1),(278,1),(370,1)}
       324:{3,5,7}:{(271,1),(276,1),(279,1)}
       325:{1,3,4,6}:{(272,1),(273,1),(280,1),(361,1),(371,1),(372,1)}
       326:{1,3,5,6}:{(273,1),(274,1),(362,1),(368,1),(371,1),(372,1)}
       327:{1,2,4,5,6}:{(274,1),(275,1),(282,1),(363,1),(369,1),(372,1),(373,1),(374,1),(377,1),(445,1),(452,1),(504,1),(532,1)}
       328:{1,3,5,6}:{(275,1),(276,1),(283,1),(370,1),(374,1)}
       329:{1,2,4,6,7}:{(277,1),(278,1),(282,1),(365,1),(369,1),(375,1),(376,1),(447,1),(505,1)}
       330:{1,3,4,6,7}:{(278,1),(279,1),(283,1),(370,1),(375,1),(376,1),(448,1)}
       331:{1,2,5}:{(280,1),(371,1)}
       332:{1,2,4,6}:{(281,1),(284,1),(372,1),(377,1),(378,1),(452,1),(550,1)}
       333:{1,3,6}:{(282,1),(285,1),(379,1)}
       334:{2,4,6}:{(283,1),(286,1),(374,1),(379,1),(380,1)}
       335:{1,3,4,7}:{(284,1),(285,1),(378,1),(381,1),(548,1)}
       336:{2,3,5,7}:{(285,1),(286,1),(379,1),(381,1),(382,1),(455,1)}
       337:{1,4,5,7}:{(286,1),(380,1),(382,1),(450,1),(506,1),(508,1)}
       338:{1,3,7}:{(287,1),(288,1),(308,1)}
       339:{1,2,4,6,7}:{(288,1),(289,1),(294,1),(297,1),(309,1),(383,1),(384,1),(418,1),(459,1),(485,1),(525,1)}
       340:{1,5,7}:{(289,1),(290,1),(295,1)}
       341:{2,4,5,7}:{(290,1),(291,1),(296,1),(299,1),(385,1),(386,1),(461,1)}
       342:{1,3,4,7}:{(292,1),(293,1),(300,1),(312,1),(387,1),(459,1),(547,1)}
       343:{1,3,6}:{(293,1),(294,1),(313,1)}
       344:{1,2,5,6}:{(294,1),(295,1),(314,1),(384,1),(388,1),(393,1),(416,1)}
       345:{1,4,5,6}:{(295,1),(296,1),(303,1),(385,1),(390,1)}
       346:{3,5,6}:{(296,1),(304,1),(386,1)}
       347:{1,2,5,6,7}:{(297,1),(298,1),(302,1),(317,1),(384,1),(391,1),(409,1),(461,1)}
       348:{1,4,6,7}:{(298,1),(299,1),(303,1),(385,1),(459,1)}
       349:{3,4,6,7}:{(299,1),(304,1),(386,1),(407,1),(473,1)}
       350:{1,2,4,6}:{(300,1),(301,1),(387,1),(393,1)}
       351:{1,2,3,5,6}:{(301,1),(302,1),(305,1),(388,1),(393,1),(394,1),(395,1),(464,1),(468,1),(484,1),(527,1),(528,1)}
       352:{1,2,4,6}:{(302,1),(303,1),(306,1),(395,1),(396,1)}
       353:{1,3,4,6}:{(303,1),(304,1),(307,1),(390,1),(395,1),(396,1)}
       354:{1,2,4,7}:{(305,1),(394,1),(397,1),(459,1),(512,1)}
       355:{1,3,5,7}:{(306,1),(395,1),(397,1),(398,1),(468,1)}
       356:{2,4,5,7}:{(307,1),(396,1),(398,1),(399,1),(461,1),(512,1),(514,1)}
       357:{2,3,6,7}:{(308,1),(309,1),(313,1),(321,1),(383,1),(400,1),(407,1),(545,1)}
       358:{2,5,7}:{(309,1),(310,1),(314,1)}
       359:{1,4,5,7}:{(310,1),(311,1),(315,1),(318,1),(401,1),(410,1),(459,1)}
       360:{3,4,5,7}:{(311,1),(316,1),(319,1),(324,1),(386,1),(473,1)}
       361:{2,3,4,6}:{(312,1),(313,1),(325,1),(387,1),(403,1),(404,1)}
       362:{2,3,5,6}:{(313,1),(314,1),(326,1),(388,1),(400,1),(403,1),(404,1),(405,1)}
       363:{2,4,5,6}:{(314,1),(315,1),(401,1),(404,1),(405,1)}
       364:{1,3,4,5,6}:{(315,1),(316,1),(328,1),(390,1),(402,1),(405,1),(406,1),(414,1),(463,1),(478,1)}
       365:{2,4,6,7}:{(317,1),(318,1),(401,1),(407,1)}
       366:{1,3,4,6,7}:{(318,1),(319,1),(320,1),(402,1),(407,1),(408,1),(479,1)}
       367:{2,5,6,7}:{(320,1),(408,1),(409,1),(412,1),(461,1)}
       368:{1,3,5,7}:{(321,1),(322,1),(326,1),(400,1),(410,1)}
       369:{1,2,4,5,7}:{(322,1),(323,1),(327,1),(329,1),(401,1),(410,1),(411,1),(412,1),(475,1),(480,1),(522,1),(541,1)}
       370:{1,3,5,7}:{(323,1),(324,1),(328,1),(330,1),(412,1)}
       371:{1,3,5}:{(325,1),(331,1),(403,1),(413,1)}
       372:{1,4,6}:{(326,1),(404,1),(410,1),(413,1)}
       373:{1,3,5,6}:{(327,1),(333,1),(405,1),(411,1),(414,1),(415,1),(419,1),(543,1)}
       374:{2,5,6}:{(328,1),(334,1),(412,1),(416,1)}
       375:{1,3,6,7}:{(329,1),(333,1),(407,1),(411,1),(417,1)}
       376:{2,4,6,7}:{(330,1),(334,1),(412,1),(417,1),(418,1),(480,1)}
       377:{1,2,4,5}:{(331,1),(332,1),(413,1),(419,1),(482,1)}
       378:{1,3,4,6}:{(332,1),(333,1),(335,1),(419,1),(420,1),(543,1),(552,1)}
       379:{2,3,6}:{(333,1),(334,1),(336,1),(421,1)}
       380:{1,4,6}:{(334,1),(337,1),(416,1),(421,1)}
       381:{2,3,4,7}:{(335,1),(336,1),(420,1),(422,1),(480,1),(545,1)}
       382:{1,3,5,7}:{(336,1),(337,1),(421,1),(422,1),(423,1),(486,1)}
       383:{1,3,6,7}:{(338,1),(339,1),(343,1),(357,1),(424,1),(538,1)}
       384:{1,2,5,7}:{(339,1),(340,1),(344,1),(358,1),(424,1),(450,1)}
       385:{1,4,5,7}:{(340,1),(341,1),(345,1),(348,1),(426,1)}
       386:{3,5,7}:{(341,1),(346,1),(349,1)}
       387:{1,3,4,6}:{(342,1),(343,1),(350,1),(361,1),(427,1),(428,1)}
       388:{1,3,5,6}:{(343,1),(344,1),(362,1),(424,1),(427,1),(428,1)}
       389:{1,2,4,5,6}:{(344,1),(345,1),(352,1),(363,1),(425,1),(428,1),(429,1),(430,1),(433,1),(445,1),(493,1),(504,1),(509,1)}
       390:{1,3,5,6}:{(345,1),(346,1),(353,1),(426,1),(430,1)}
       391:{1,2,4,6,7}:{(347,1),(348,1),(352,1),(365,1),(425,1),(431,1),(432,1),(447,1),(505,1)}
       392:{1,3,4,6,7}:{(348,1),(349,1),(353,1),(426,1),(431,1),(432,1),(489,1)}
       393:{1,2,5}:{(350,1),(427,1)}
       394:{1,2,4,6}:{(351,1),(354,1),(428,1),(433,1),(434,1),(493,1),(540,1)}
       395:{1,3,6}:{(352,1),(355,1),(435,1)}
       396:{2,4,6}:{(353,1),(356,1),(430,1),(435,1),(436,1)}
       397:{1,3,4,7}:{(354,1),(355,1),(434,1),(437,1),(538,1)}
       398:{2,3,5,7}:{(355,1),(356,1),(435,1),(437,1),(438,1),(496,1)}
       399:{1,4,5,7}:{(356,1),(436,1),(438,1),(491,1),(529,1),(531,1)}
       400:{2,3,5,7}:{(357,1),(358,1),(362,1),(368,1),(424,1),(439,1),(440,1)}
       401:{2,4,5,7}:{(358,1),(359,1),(363,1),(365,1),(439,1),(440,1)}
       402:{1,3,4,5,7}:{(359,1),(360,1),(364,1),(366,1),(370,1),(426,1),(440,1),(441,1),(448,1),(489,1),(501,1)}
       403:{2,3,5}:{(361,1),(371,1),(427,1),(442,1)}
       404:{2,4,6}:{(362,1),(372,1),(428,1),(439,1),(442,1),(443,1)}
       405:{3,5,6}:{(363,1),(440,1),(443,1)}
       406:{2,4,5,6}:{(364,1),(374,1),(430,1),(441,1),(444,1),(445,1),(452,1),(493,1),(504,1)}
       407:{3,6,7}:{(365,1),(440,1)}
       408:{2,4,6,7}:{(366,1),(367,1),(441,1),(446,1),(447,1),(505,1)}
       409:{1,5,6,7}:{(367,1),(447,1),(450,1),(491,1)}
       410:{1,4,7}:{(368,1),(372,1),(439,1)}
       411:{1,3,5,7}:{(369,1),(373,1),(375,1),(440,1),(448,1),(449,1),(548,1)}
       412:{2,5,7}:{(370,1),(374,1),(376,1),(450,1)}
       413:{1,4,5}:{(371,1),(372,1),(442,1)}
       414:{1,3,4,6}:{(372,1),(373,1),(443,1),(448,1),(451,1),(452,1)}
       415:{2,3,5,6}:{(373,1),(374,1),(379,1),(449,1),(452,1),(453,1),(455,1),(504,1),(537,1)}
       416:{1,5,6}:{(374,1),(380,1),(450,1)}
       417:{2,3,6,7}:{(375,1),(376,1),(379,1),(449,1),(454,1),(505,1)}
       418:{1,4,6,7}:{(376,1),(380,1),(450,1),(454,1),(506,1)}
       419:{1,3,5}:{(377,1),(378,1),(455,1)}
       420:{2,3,4,6}:{(378,1),(379,1),(381,1),(452,1),(455,1),(456,1),(537,1),(551,1)}
       421:{1,3,6}:{(379,1),(380,1),(382,1),(457,1)}
       422:{1,3,4,7}:{(381,1),(382,1),(456,1),(458,1),(506,1),(538,1)}
       423:{1,2,5,7}:{(382,1),(457,1),(458,1),(510,1)}
       424:{1,3,5,7}:{(383,1),(384,1),(388,1),(400,1),(459,1)}
       425:{1,2,4,5,7}:{(384,1),(385,1),(389,1),(391,1),(401,1),(459,1),(460,1),(461,1),(475,1),(512,1),(522,1),(525,1)}
       426:{1,3,5,7}:{(385,1),(386,1),(390,1),(392,1),(461,1)}
       427:{1,3,5}:{(387,1),(393,1),(403,1),(462,1)}
       428:{1,4,6}:{(388,1),(404,1),(459,1),(462,1)}
       429:{1,3,5,6}:{(389,1),(395,1),(405,1),(460,1),(463,1),(464,1),(468,1),(527,1)}
       430:{2,5,6}:{(390,1),(396,1),(461,1),(465,1)}
       431:{1,3,6,7}:{(391,1),(395,1),(407,1),(460,1),(466,1)}
       432:{2,4,6,7}:{(392,1),(396,1),(461,1),(466,1),(467,1),(512,1)}
       433:{1,2,4,5}:{(393,1),(394,1),(462,1),(468,1),(514,1)}
       434:{1,3,4,6}:{(394,1),(395,1),(397,1),(468,1),(469,1),(527,1),(547,1)}
       435:{2,3,6}:{(395,1),(396,1),(398,1),(470,1)}
       436:{1,4,6}:{(396,1),(399,1),(465,1),(470,1)}
       437:{2,3,4,7}:{(397,1),(398,1),(469,1),(471,1),(512,1),(545,1)}
       438:{1,3,5,7}:{(398,1),(399,1),(470,1),(471,1),(472,1),(518,1)}
       439:{2,4,7}:{(400,1),(404,1),(410,1),(459,1),(473,1)}
       440:{3,5,7}:{(401,1),(405,1),(407,1),(473,1)}
       441:{2,4,5,7}:{(402,1),(406,1),(408,1),(412,1),(461,1),(474,1),(475,1),(480,1),(512,1),(522,1)}
       442:{2,4,5}:{(403,1),(404,1),(413,1),(462,1),(476,1)}
       443:{3,4,6}:{(404,1),(405,1),(473,1),(476,1)}
       444:{2,3,5,6}:{(405,1),(406,1),(474,1),(477,1),(478,1)}
       445:{1,4,5,6}:{(406,1),(416,1),(465,1),(475,1),(478,1),(483,1),(515,1)}
       446:{2,3,6,7}:{(407,1),(408,1),(474,1),(479,1)}
       447:{1,4,6,7}:{(408,1),(409,1),(475,1),(479,1)}
       448:{1,3,4,7}:{(410,1),(411,1),(414,1),(473,1),(480,1)}
       449:{2,3,5,7}:{(411,1),(412,1),(415,1),(417,1),(480,1),(481,1),(522,1),(545,1)}
       450:{1,5,7}:{(412,1),(416,1),(418,1)}
       451:{1,3,4,5}:{(413,1),(414,1),(419,1),(476,1),(482,1)}
       452:{2,4,6}:{(414,1),(415,1),(480,1),(482,1),(483,1)}
       453:{1,3,5,6}:{(415,1),(416,1),(421,1),(481,1),(483,1),(484,1),(486,1),(527,1)}
       454:{1,3,6,7}:{(417,1),(418,1),(421,1),(481,1),(485,1)}
       455:{2,3,5}:{(419,1),(420,1),(482,1),(486,1)}
       456:{1,3,4,6}:{(420,1),(421,1),(422,1),(483,1),(486,1),(487,1),(527,1),(547,1)}
       457:{1,2,6}:{(421,1),(423,1)}
       458:{1,2,4,7}:{(422,1),(423,1),(487,1),(488,1)}
       459:{1,4,7}:{(424,1),(428,1),(439,1)}
       460:{1,3,5,7}:{(425,1),(429,1),(431,1),(440,1),(489,1),(490,1),(538,1)}
       461:{2,5,7}:{(426,1),(430,1),(432,1),(491,1)}
       462:{1,4,5}:{(427,1),(428,1),(442,1)}
       463:{1,3,4,6}:{(428,1),(429,1),(443,1),(489,1),(492,1),(493,1)}
       464:{2,3,5,6}:{(429,1),(430,1),(435,1),(490,1),(493,1),(494,1),(496,1),(504,1),(537,1)}
       465:{1,5,6}:{(430,1),(436,1),(491,1)}
       466:{2,3,6,7}:{(431,1),(432,1),(435,1),(490,1),(495,1),(505,1)}
       467:{1,4,6,7}:{(432,1),(436,1),(491,1),(495,1),(529,1)}
       468:{1,3,5}:{(433,1),(434,1),(496,1)}
       469:{2,3,4,6}:{(434,1),(435,1),(437,1),(493,1),(496,1),(497,1),(537,1),(551,1)}
       470:{1,3,6}:{(435,1),(436,1),(438,1),(498,1)}
       471:{1,3,4,7}:{(437,1),(438,1),(497,1),(499,1),(529,1),(548,1)}
       472:{1,2,5,7}:{(438,1),(498,1),(499,1),(533,1)}
       473:{3,4,7}:{(439,1),(440,1),(443,1)}
       474:{2,3,5,7}:{(440,1),(441,1),(444,1),(446,1),(500,1),(501,1)}
       475:{1,4,5,7}:{(441,1),(445,1),(447,1),(450,1),(491,1),(501,1),(506,1),(529,1)}
       476:{3,4,5}:{(442,1),(443,1)}
       477:{2,3,4,6}:{(443,1),(444,1),(452,1),(493,1),(500,1),(502,1),(503,1),(537,1)}
       478:{1,3,5,6}:{(444,1),(445,1),(501,1),(503,1),(504,1)}
       479:{1,3,6,7}:{(446,1),(447,1),(501,1),(505,1)}
       480:{2,4,7}:{(448,1),(449,1),(452,1),(506,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(454,1),(506,1),(507,1),(538,1)}
       482:{2,4,5}:{(451,1),(452,1),(455,1),(508,1)}
       483:{1,4,6}:{(452,1),(453,1),(506,1),(508,1)}
       484:{1,2,5,6}:{(453,1),(457,1),(504,1),(507,1),(509,1),(510,1)}
       485:{1,2,6,7}:{(454,1),(457,1),(505,1),(507,1)}
       486:{1,3,5}:{(455,1),(456,1),(508,1),(510,1)}
       487:{1,2,4,6}:{(456,1),(457,1),(458,1),(510,1),(511,1),(540,1)}
       488:{1,2,3,7}:{(458,1),(511,1),(538,1)}
       489:{1,3,4,7}:{(459,1),(460,1),(463,1),(473,1),(512,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(464,1),(466,1),(512,1),(513,1),(522,1),(545,1)}
       491:{1,5,7}:{(461,1),(465,1),(467,1)}
       492:{1,3,4,5}:{(462,1),(463,1),(468,1),(476,1),(514,1)}
       493:{2,4,6}:{(463,1),(464,1),(512,1),(514,1),(515,1)}
       494:{1,3,5,6}:{(464,1),(465,1),(470,1),(513,1),(515,1),(516,1),(518,1),(543,1)}
       495:{1,3,6,7}:{(466,1),(467,1),(470,1),(513,1),(517,1)}
       496:{2,3,5}:{(468,1),(469,1),(514,1),(518,1)}
       497:{1,3,4,6}:{(469,1),(470,1),(471,1),(515,1),(518,1),(519,1),(543,1),(552,1)}
       498:{1,2,6}:{(470,1),(472,1)}
       499:{1,2,4,7}:{(471,1),(472,1),(519,1),(520,1)}
       500:{2,3,4,7}:{(473,1),(474,1),(477,1),(480,1),(512,1),(521,1),(545,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(478,1),(479,1),(521,1),(522,1)}
       502:{2,3,4,5}:{(476,1),(477,1),(482,1),(514,1),(523,1),(546,1)}
       503:{1,3,4,6}:{(477,1),(478,1),(483,1),(515,1),(521,1),(523,1),(524,1),(527,1),(543,1)}
       504:{2,5,6}:{(478,1),(522,1),(524,1)}
       505:{2,6,7}:{(479,1),(522,1)}
       506:{1,4,7}:{(480,1),(481,1),(483,1)}
       507:{1,2,5,7}:{(481,1),(484,1),(485,1),(522,1),(525,1)}
       508:{1,4,5}:{(482,1),(483,1),(486,1)}
       509:{1,2,4,6}:{(483,1),(484,1),(524,1),(525,1),(526,1),(527,1)}
       510:{1,2,5}:{(486,1),(487,1)}
       511:{1,2,3,6}:{(487,1),(488,1),(527,1),(528,1)}
       512:{2,4,7}:{(489,1),(490,1),(493,1),(529,1)}
       513:{1,3,5,7}:{(490,1),(491,1),(494,1),(495,1),(529,1),(530,1),(548,1)}
       514:{2,4,5}:{(492,1),(493,1),(496,1),(531,1)}
       515:{1,4,6}:{(493,1),(494,1),(529,1),(531,1)}
       516:{1,2,5,6}:{(494,1),(498,1),(504,1),(530,1),(532,1),(533,1)}
       517:{1,2,6,7}:{(495,1),(498,1),(505,1),(530,1)}
       518:{1,3,5}:{(496,1),(497,1),(531,1),(533,1)}
       519:{1,2,4,6}:{(497,1),(498,1),(499,1),(533,1),(534,1),(550,1)}
       520:{1,2,3,7}:{(499,1),(534,1),(548,1)}
       521:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(529,1),(535,1),(538,1),(548,1)}
       522:{2,5,7}:{(501,1),(504,1),(505,1),(535,1)}
       523:{1,3,4,5}:{(502,1),(503,1),(508,1),(531,1),(536,1),(539,1),(549,1)}
       524:{2,4,6}:{(503,1),(504,1),(535,1),(536,1),(537,1)}
       525:{1,2,4,7}:{(506,1),(507,1),(509,1),(535,1),(538,1)}
       526:{1,2,4,5}:{(508,1),(509,1),(510,1),(536,1),(539,1),(540,1)}
       527:{1,3,6}:{(509,1),(537,1),(538,1),(539,1)}
       528:{1,2,3,5}:{(510,1),(511,1),(539,1),(540,1)}
       529:{1,4,7}:{(512,1),(513,1),(515,1)}
       530:{1,2,5,7}:{(513,1),(516,1),(517,1),(522,1),(541,1)}
       531:{1,4,5}:{(514,1),(515,1),(518,1)}
       532:{1,2,4,6}:{(515,1),(516,1),(524,1),(541,1),(542,1),(543,1)}
       533:{1,2,5}:{(518,1),(519,1)}
       534:{1,2,3,6}:{(519,1),(520,1),(543,1),(544,1)}
       535:{2,4,7}:{(521,1),(522,1),(524,1),(545,1)}
       536:{2,4,5}:{(523,1),(524,1),(546,1)}
       537:{2,3,6}:{(524,1),(527,1),(543,1),(545,1),(546,1)}
       538:{1,3,7}:{(525,1),(527,1),(545,1)}
       539:{1,3,5}:{(526,1),(527,1),(546,1),(547,1)}
       540:{1,2,4}:{(528,1),(547,1)}
       541:{1,2,4,7}:{(529,1),(530,1),(532,1),(535,1),(548,1)}
       542:{1,2,4,5}:{(531,1),(532,1),(533,1),(536,1),(549,1),(550,1)}
       543:{1,3,6}:{(532,1),(537,1),(548,1),(549,1)}
       544:{1,2,3,5}:{(533,1),(534,1),(549,1),(550,1)}
       545:{2,3,7}:{(535,1),(537,1),(538,1),(548,1)}
       546:{2,3,5}:{(536,1),(537,1),(539,1),(549,1),(551,1)}
       547:{1,3,4}:{(539,1),(540,1),(551,1)}
       548:{1,3,7}:{(541,1),(543,1),(545,1)}
       549:{1,3,5}:{(542,1),(543,1),(546,1),(552,1)}
       550:{1,2,4}:{(544,1),(552,1)}
       551:{2,3,4}:{(546,1),(547,1),(552,1)}
       552:{1,3,4}:{(549,1),(550,1),(551,1)}

1983 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

1984 :   0:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(24,1),(283,1),(284,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(87,1),(161,1),(162,1),(164,1),(176,1),(234,1),(251,1)}
         2:{1,2,4,7}:{(0,1),(7,1),(10,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(39,1),(322,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(47,1),(52,1),(226,1),(227,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(19,1),(47,1),(59,1),(67,1),(111,1),(123,1),(135,1),(191,1),(206,1),(208,1),(220,1),(277,1),(294,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(55,1),(122,1),(204,1),(219,1),(276,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(135,1),(353,1)}
         8:{1,2,3,6,7}:{(3,1),(21,1),(22,1),(65,1),(139,1),(224,1),(284,1),(354,1),(355,1),(391,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(19,1),(23,1),(24,1),(67,1),(71,1),(135,1),(277,1),(280,1),(283,1),(351,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(20,1),(24,1)}
        11:{1,2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(66,1),(68,1),(73,1),(139,1),(143,1),(286,1),(287,1),(352,1),(355,1),(390,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(26,1),(29,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(29,1),(76,1),(269,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(162,1),(335,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(87,1),(88,1),(162,1),(253,1),(333,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(39,1),(76,1),(98,1),(149,1),(163,1),(263,1),(316,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(85,1),(93,1),(162,1),(248,1),(251,1),(255,1),(262,1),(315,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(247,1),(261,1),(314,1)}
        19:{1,3,5,7}:{(7,1),(9,1),(31,1),(39,1),(40,1),(320,1),(377,1)}
        20:{1,3,4,6}:{(7,1),(10,1),(32,1),(39,1),(40,1),(98,1)}
        21:{1,2,4,6,7}:{(8,1),(10,1),(38,1),(41,1),(42,1),(101,1),(241,1),(262,1),(322,1),(378,1)}
        22:{1,2,3,5,7}:{(8,1),(11,1),(41,1),(42,1),(97,1),(102,1),(184,1),(324,1),(377,1),(402,1)}
        23:{1,2,4,6}:{(9,1),(33,1),(39,1),(44,1),(98,1),(316,1),(322,1)}
        24:{1,2,5}:{(10,1),(40,1)}
        25:{1,2,4,6}:{(11,1),(42,1),(45,1),(46,1),(98,1),(178,1),(325,1),(403,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(191,1),(309,1)}
        27:{1,2,3,6,7}:{(13,1),(49,1),(50,1),(109,1),(195,1),(227,1),(281,1),(310,1),(311,1),(369,1)}
        28:{1,2,4,5,7}:{(12,1),(15,1),(47,1),(51,1),(52,1),(111,1),(115,1),(191,1),(220,1),(223,1),(226,1),(307,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(48,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(50,1),(52,1),(53,1),(110,1),(112,1),(117,1),(195,1),(199,1),(229,1),(230,1),(308,1),(311,1),(368,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(19,1),(47,1),(55,1),(56,1),(296,1),(364,1)}
        32:{2,3,4,6}:{(14,1),(20,1),(48,1),(55,1),(56,1),(122,1)}
        33:{2,4,6}:{(15,1),(16,1),(55,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(57,1),(59,1),(65,1),(109,1),(127,1),(135,1),(191,1),(206,1),(210,1),(294,1),(299,1),(304,1),(348,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(58,1),(59,1),(60,1),(126,1),(303,1),(347,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(59,1),(62,1),(289,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(60,1),(62,1),(63,1),(122,1)}
        38:{1,3,4,6,7}:{(20,1),(21,1),(54,1),(64,1),(65,1),(70,1),(133,1),(135,1),(139,1),(197,1),(282,1),(348,1),(391,1),(392,1),(409,1)}
        39:{1,3,6}:{(19,1),(23,1),(55,1)}
        40:{1,3,5}:{(20,1),(24,1),(56,1),(67,1)}
        41:{1,2,5,7}:{(21,1),(24,1),(64,1),(68,1),(302,1),(393,1)}
        42:{1,2,4,7}:{(22,1),(25,1),(70,1),(135,1),(221,1),(409,1)}
        43:{1,2,4,6,7}:{(23,1),(57,1),(65,1),(71,1),(135,1),(348,1),(351,1),(354,1)}
        44:{1,2,5,6}:{(23,1),(24,1),(58,1),(66,1),(71,1),(347,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(67,1),(73,1),(137,1),(393,1),(410,1)}
        46:{1,3,4,6}:{(25,1),(70,1),(73,1),(74,1),(139,1),(352,1),(353,1)}
        47:{1,3,5,7}:{(26,1),(28,1),(31,1),(76,1),(77,1),(267,1),(344,1)}
        48:{1,3,4,6}:{(26,1),(29,1),(32,1),(76,1),(77,1),(149,1)}
        49:{1,2,4,6,7}:{(27,1),(29,1),(75,1),(78,1),(79,1),(152,1),(183,1),(269,1),(315,1),(345,1)}
        50:{1,2,3,5,7}:{(27,1),(30,1),(78,1),(79,1),(148,1),(153,1),(242,1),(271,1),(344,1),(386,1)}
        51:{1,2,4,6}:{(28,1),(33,1),(76,1),(81,1),(149,1),(263,1),(269,1)}
        52:{1,2,5}:{(29,1),(77,1)}
        53:{1,2,4,6}:{(30,1),(79,1),(82,1),(83,1),(149,1),(236,1),(272,1),(387,1)}
        54:{2,3,4,6,7}:{(32,1),(38,1),(75,1),(84,1),(85,1),(103,1),(154,1),(160,1),(162,1),(181,1),(239,1),(248,1),(262,1),(315,1),(383,1),(384,1),(407,1)}
        55:{2,3,6}:{(31,1),(33,1),(39,1),(76,1)}
        56:{2,3,5}:{(32,1),(40,1),(77,1),(87,1)}
        57:{2,4,6,7}:{(33,1),(34,1),(85,1),(88,1),(162,1),(333,1),(338,1)}
        58:{2,5,6}:{(33,1),(35,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(36,1),(88,1),(91,1),(166,1),(339,1),(372,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(89,1),(91,1),(98,1),(149,1)}
        61:{2,3,5,6,7}:{(36,1),(90,1),(93,1),(172,1),(255,1),(258,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(91,1),(93,1),(94,1),(162,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(163,1),(247,1)}
        64:{1,3,5,7}:{(38,1),(40,1),(41,1),(84,1),(95,1),(96,1),(372,1),(404,1)}
        65:{1,3,6,7}:{(39,1),(43,1),(85,1),(97,1),(377,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(44,1),(86,1),(97,1),(98,1)}
        67:{1,4,5}:{(40,1),(87,1),(98,1)}
        68:{1,2,5,6}:{(41,1),(95,1),(101,1),(261,1),(322,1)}
        69:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(96,1),(101,1),(102,1),(176,1)}
        70:{1,3,4,7}:{(42,1),(46,1),(102,1),(103,1),(377,1)}
        71:{1,2,5,7}:{(43,1),(44,1),(88,1),(97,1),(372,1)}
        72:{1,2,4,5,6}:{(44,1),(45,1),(89,1),(98,1),(101,1),(104,1),(105,1),(171,1),(173,1),(178,1),(257,1),(261,1),(319,1),(373,1),(380,1),(403,1)}
        73:{1,3,5}:{(45,1),(46,1),(106,1)}
        74:{2,3,4,6}:{(46,1),(103,1),(106,1),(107,1),(178,1),(181,1),(334,1),(335,1)}
        75:{1,3,4,6,7}:{(48,1),(49,1),(54,1),(108,1),(109,1),(114,1),(141,1),(189,1),(191,1),(195,1),(225,1),(304,1),(369,1),(370,1),(400,1)}
        76:{1,3,6}:{(47,1),(51,1),(55,1)}
        77:{1,3,5}:{(48,1),(52,1),(56,1),(111,1)}
        78:{1,2,5,7}:{(49,1),(52,1),(108,1),(112,1),(346,1),(371,1)}
        79:{1,2,4,7}:{(50,1),(53,1),(114,1),(191,1),(278,1),(400,1)}
        80:{1,2,4,6,7}:{(51,1),(57,1),(109,1),(115,1),(191,1),(304,1),(307,1),(310,1)}
        81:{1,2,5,6}:{(51,1),(52,1),(58,1),(110,1),(115,1),(303,1)}
        82:{1,2,4,5}:{(52,1),(53,1),(111,1),(117,1),(193,1),(371,1),(401,1)}
        83:{1,3,4,6}:{(53,1),(114,1),(117,1),(118,1),(195,1),(308,1),(309,1)}
        84:{2,3,5,7}:{(54,1),(56,1),(64,1),(108,1),(119,1),(120,1),(289,1),(302,1),(346,1),(398,1)}
        85:{2,3,6,7}:{(55,1),(57,1),(65,1),(109,1),(121,1),(210,1),(364,1)}
        86:{2,3,5,6}:{(55,1),(56,1),(58,1),(66,1),(110,1),(121,1),(122,1),(126,1)}
        87:{2,4,5}:{(56,1),(67,1),(111,1),(122,1),(123,1)}
        88:{2,5,7}:{(57,1),(58,1),(59,1)}
        89:{2,4,5,6}:{(58,1),(60,1),(122,1),(125,1),(126,1)}
        90:{1,3,5,6,7}:{(59,1),(61,1),(124,1),(127,1),(210,1),(299,1),(301,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(62,1),(125,1),(127,1),(135,1),(191,1)}
        92:{1,3,4,5,6}:{(60,1),(63,1),(126,1),(128,1),(129,1),(136,1),(192,1),(212,1),(217,1),(274,1),(288,1),(358,1),(395,1)}
        93:{2,4,6,7}:{(61,1),(62,1),(127,1),(131,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(131,1),(206,1),(289,1)}
        95:{1,3,5,6}:{(64,1),(68,1),(119,1),(133,1),(139,1),(282,1),(347,1)}
        96:{1,4,5,7}:{(64,1),(67,1),(120,1),(133,1),(135,1),(409,1),(410,1)}
        97:{1,3,5,7}:{(65,1),(66,1),(71,1),(121,1),(135,1)}
        98:{1,4,6}:{(66,1),(67,1),(122,1),(135,1)}
        99:{1,3,4,5}:{(67,1),(73,1),(123,1),(136,1),(137,1),(410,1),(412,1)}
       100:{1,2,5,6,7}:{(68,1),(71,1),(124,1),(132,1),(138,1),(301,1),(302,1),(354,1),(366,1),(389,1)}
       101:{1,2,4,6}:{(68,1),(69,1),(133,1),(139,1),(219,1)}
       102:{1,3,5,7}:{(69,1),(70,1),(73,1),(139,1),(140,1)}
       103:{2,3,4,7}:{(70,1),(74,1),(140,1),(141,1),(221,1),(364,1)}
       104:{1,2,4,5,7}:{(71,1),(72,1),(125,1),(135,1),(138,1),(142,1),(215,1),(216,1),(221,1),(300,1),(302,1),(351,1),(389,1),(394,1),(409,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(126,1),(136,1),(139,1),(142,1),(143,1),(352,1),(395,1)}
       106:{2,3,5}:{(73,1),(74,1),(137,1),(144,1)}
       107:{1,3,4,6}:{(74,1),(141,1),(144,1),(145,1),(222,1),(225,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(75,1),(77,1),(78,1),(84,1),(146,1),(147,1),(339,1),(388,1)}
       109:{1,3,6,7}:{(76,1),(80,1),(85,1),(148,1),(344,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(81,1),(86,1),(148,1),(149,1)}
       111:{1,4,5}:{(77,1),(87,1),(149,1)}
       112:{1,2,5,6}:{(78,1),(146,1),(152,1),(269,1),(314,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(147,1),(152,1),(153,1),(234,1)}
       114:{1,3,4,7}:{(79,1),(83,1),(153,1),(154,1),(344,1)}
       115:{1,2,5,7}:{(80,1),(81,1),(88,1),(148,1),(339,1)}
       116:{1,2,4,5,6}:{(81,1),(82,1),(89,1),(149,1),(152,1),(155,1),(156,1),(171,1),(231,1),(236,1),(257,1),(266,1),(314,1),(340,1),(380,1),(387,1)}
       117:{1,3,5}:{(82,1),(83,1),(157,1)}
       118:{2,3,4,6}:{(83,1),(154,1),(157,1),(158,1),(236,1),(239,1),(334,1),(335,1)}
       119:{2,3,5,6}:{(84,1),(95,1),(146,1),(160,1),(181,1),(239,1),(247,1),(261,1),(314,1)}
       120:{2,4,5,7}:{(84,1),(87,1),(96,1),(147,1),(160,1),(161,1),(162,1),(407,1),(408,1)}
       121:{2,3,5,7}:{(85,1),(86,1),(88,1),(97,1),(148,1),(162,1),(166,1)}
       122:{2,4,6}:{(86,1),(87,1),(98,1),(149,1),(162,1),(163,1)}
       123:{3,4,5}:{(87,1),(163,1)}
       124:{2,5,6,7}:{(88,1),(90,1),(165,1),(338,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(91,1),(162,1),(165,1),(166,1)}
       126:{3,5,6}:{(89,1),(163,1),(166,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(93,1),(165,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1),(235,1),(256,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       129:{2,4,5,6}:{(92,1),(167,1),(170,1),(171,1),(178,1),(236,1),(257,1),(261,1),(314,1)}
       130:{2,4,5,6,7}:{(93,1),(168,1),(172,1),(246,1),(258,1),(385,1)}
       131:{3,4,6,7}:{(93,1),(94,1),(172,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(100,1),(159,1),(174,1),(180,1),(260,1),(321,1),(372,1),(402,1)}
       133:{1,4,6}:{(95,1),(96,1),(160,1)}
       134:{1,3,4,5,7}:{(96,1),(99,1),(102,1),(161,1),(175,1),(176,1),(177,1),(260,1)}
       135:{1,4,7}:{(97,1),(98,1),(162,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(105,1),(163,1),(177,1),(178,1),(403,1),(406,1)}
       137:{2,4,5}:{(99,1),(106,1),(178,1),(179,1)}
       138:{1,2,4,6,7}:{(100,1),(101,1),(104,1),(165,1),(174,1),(180,1),(259,1),(262,1),(338,1),(385,1)}
       139:{1,3,6}:{(101,1),(102,1),(181,1)}
       140:{2,3,5,7}:{(102,1),(103,1),(106,1),(176,1),(181,1),(182,1)}
       141:{1,3,4,7}:{(103,1),(107,1),(182,1),(183,1),(265,1),(344,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(166,1),(177,1),(180,1),(184,1),(377,1),(405,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(178,1),(181,1),(184,1),(185,1),(257,1),(261,1),(334,1)}
       144:{1,3,5}:{(106,1),(107,1),(179,1),(186,1)}
       145:{1,2,4,6}:{(107,1),(183,1),(186,1),(187,1),(269,1),(272,1)}
       146:{1,3,5,6}:{(108,1),(112,1),(119,1),(189,1),(195,1),(225,1),(303,1)}
       147:{1,4,5,7}:{(108,1),(111,1),(120,1),(189,1),(191,1),(400,1),(401,1)}
       148:{1,3,5,7}:{(109,1),(110,1),(115,1),(121,1),(191,1)}
       149:{1,4,6}:{(110,1),(111,1),(122,1),(191,1)}
       150:{1,3,4,5}:{(111,1),(117,1),(123,1),(192,1),(193,1),(401,1),(412,1)}
       151:{1,2,5,6,7}:{(112,1),(115,1),(124,1),(188,1),(194,1),(301,1),(310,1),(346,1),(366,1),(367,1)}
       152:{1,2,4,6}:{(112,1),(113,1),(189,1),(195,1),(276,1)}
       153:{1,3,5,7}:{(113,1),(114,1),(117,1),(195,1),(196,1)}
       154:{2,3,4,7}:{(114,1),(118,1),(196,1),(197,1),(278,1),(364,1)}
       155:{1,2,4,5,7}:{(115,1),(116,1),(125,1),(191,1),(194,1),(198,1),(215,1),(273,1),(278,1),(300,1),(307,1),(346,1),(367,1),(394,1),(400,1)}
       156:{1,3,5,6}:{(116,1),(117,1),(126,1),(192,1),(195,1),(198,1),(199,1),(308,1),(395,1)}
       157:{2,3,5}:{(117,1),(118,1),(193,1),(200,1)}
       158:{1,3,4,6}:{(118,1),(197,1),(200,1),(201,1),(279,1),(282,1),(352,1),(353,1)}
       159:{2,3,5,6,7}:{(119,1),(121,1),(124,1),(132,1),(188,1),(203,1),(210,1),(224,1),(281,1),(289,1),(302,1),(346,1),(366,1),(396,1),(399,1)}
       160:{2,4,6}:{(119,1),(120,1),(133,1),(189,1),(204,1)}
       161:{3,4,5,7}:{(120,1),(123,1),(204,1),(206,1),(289,1),(411,1),(412,1)}
       162:{2,4,7}:{(121,1),(122,1),(135,1),(191,1),(206,1)}
       163:{3,4,6}:{(122,1),(123,1),(126,1),(206,1)}
       164:{2,3,4,5}:{(123,1),(137,1),(193,1),(207,1),(208,1),(296,1),(412,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(127,1),(210,1)}
       166:{3,5,7}:{(125,1),(126,1),(206,1),(210,1)}
       167:{2,3,5,6}:{(126,1),(129,1),(207,1),(211,1),(212,1),(395,1)}
       168:{1,4,5,6,7}:{(127,1),(130,1),(209,1),(213,1),(216,1),(273,1),(301,1),(365,1)}
       169:{1,3,4,6,7}:{(127,1),(128,1),(131,1),(210,1),(213,1),(214,1),(297,1),(299,1),(365,1),(399,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(211,1),(214,1),(215,1),(221,1),(278,1),(300,1),(302,1),(346,1)}
       171:{1,4,5,6}:{(129,1),(212,1),(215,1),(222,1),(279,1),(303,1),(347,1)}
       172:{3,5,6,7}:{(130,1),(131,1),(289,1),(399,1)}
       173:{1,4,5,6}:{(133,1),(202,1),(216,1),(217,1),(347,1)}
       174:{1,4,6,7}:{(132,1),(133,1),(135,1),(203,1),(216,1),(409,1)}
       175:{1,3,4,6}:{(133,1),(134,1),(139,1),(204,1),(217,1),(219,1)}
       176:{2,4,5,7}:{(134,1),(137,1),(140,1),(219,1),(220,1),(221,1),(302,1)}
       177:{1,3,4,7}:{(135,1),(136,1),(142,1),(206,1),(221,1),(409,1),(411,1)}
       178:{2,4,6}:{(136,1),(137,1),(143,1),(221,1),(222,1)}
       179:{1,4,5}:{(137,1),(144,1),(222,1)}
       180:{1,3,6,7}:{(138,1),(139,1),(142,1),(210,1),(224,1),(399,1)}
       181:{2,3,6}:{(139,1),(140,1),(219,1),(225,1)}
       182:{1,3,5,7}:{(140,1),(141,1),(144,1),(220,1),(225,1),(226,1)}
       183:{1,2,4,7}:{(141,1),(145,1),(226,1),(227,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(221,1),(224,1),(228,1),(300,1),(302,1),(364,1)}
       185:{1,3,5,6}:{(143,1),(144,1),(222,1),(225,1),(228,1),(229,1),(303,1),(308,1)}
       186:{1,2,5}:{(144,1),(145,1)}
       187:{1,2,3,6}:{(145,1),(227,1),(230,1),(308,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(151,1),(159,1),(232,1),(238,1),(268,1),(313,1),(339,1),(386,1)}
       189:{1,4,6}:{(146,1),(147,1),(160,1)}
       190:{1,3,4,5,7}:{(147,1),(150,1),(153,1),(161,1),(233,1),(234,1),(235,1),(313,1)}
       191:{1,4,7}:{(148,1),(149,1),(162,1)}
       192:{1,3,4,6}:{(149,1),(150,1),(156,1),(163,1),(235,1),(236,1),(387,1),(406,1)}
       193:{2,4,5}:{(150,1),(157,1),(236,1),(237,1)}
       194:{1,2,4,6,7}:{(151,1),(152,1),(155,1),(165,1),(232,1),(238,1),(259,1),(315,1),(338,1),(385,1)}
       195:{1,3,6}:{(152,1),(153,1),(239,1)}
       196:{2,3,5,7}:{(153,1),(154,1),(157,1),(234,1),(239,1),(240,1)}
       197:{1,3,4,7}:{(154,1),(158,1),(240,1),(241,1),(318,1),(377,1)}
       198:{1,3,5,7}:{(155,1),(156,1),(166,1),(235,1),(238,1),(242,1),(344,1),(405,1)}
       199:{2,3,5,6}:{(156,1),(157,1),(236,1),(239,1),(242,1),(243,1),(257,1),(314,1),(334,1)}
       200:{1,3,5}:{(157,1),(158,1),(237,1),(244,1)}
       201:{1,2,4,6}:{(158,1),(241,1),(244,1),(245,1),(322,1),(325,1)}
       202:{2,4,5,6}:{(160,1),(173,1),(231,1),(246,1),(247,1),(261,1),(314,1)}
       203:{2,4,6,7}:{(159,1),(160,1),(162,1),(174,1),(232,1),(246,1),(248,1),(407,1)}
       204:{3,4,6}:{(160,1),(161,1),(247,1)}
       205:{2,3,4,5,7}:{(161,1),(164,1),(176,1),(234,1),(249,1),(250,1),(251,1),(328,1),(332,1),(407,1),(408,1)}
       206:{3,4,7}:{(162,1),(163,1),(166,1)}
       207:{2,3,4,6}:{(163,1),(164,1),(167,1),(178,1),(236,1),(251,1),(252,1),(334,1),(406,1)}
       208:{1,3,4,5}:{(164,1),(179,1),(237,1),(252,1),(253,1),(267,1),(320,1)}
       209:{2,4,5,6,7}:{(165,1),(168,1),(246,1),(254,1),(258,1),(336,1)}
       210:{3,6,7}:{(165,1),(166,1)}
       211:{2,3,5,7}:{(166,1),(167,1),(170,1),(251,1),(255,1),(256,1),(405,1)}
       212:{1,3,5,6}:{(167,1),(171,1),(252,1),(256,1),(257,1)}
       213:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(254,1),(258,1),(260,1),(313,1)}
       214:{2,4,6,7}:{(169,1),(170,1),(255,1),(258,1),(259,1),(338,1)}
       215:{1,4,5,7}:{(170,1),(171,1),(256,1),(259,1),(265,1),(318,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(174,1),(246,1),(260,1),(372,1)}
       217:{1,3,5,6}:{(173,1),(175,1),(247,1),(260,1),(261,1)}
       218:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(180,1),(248,1),(260,1),(262,1)}
       219:{2,4,6}:{(175,1),(176,1),(181,1),(261,1),(263,1)}
       220:{1,4,5,7}:{(176,1),(179,1),(182,1),(263,1),(265,1),(339,1)}
       221:{2,4,7}:{(177,1),(178,1),(184,1),(265,1)}
       222:{1,4,6}:{(178,1),(179,1),(185,1),(265,1)}
       223:{1,2,4,5}:{(179,1),(186,1),(253,1),(266,1),(267,1),(272,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(184,1),(262,1),(268,1),(338,1)}
       225:{1,3,6}:{(181,1),(182,1),(263,1),(269,1)}
       226:{1,2,5,7}:{(182,1),(183,1),(186,1),(269,1)}
       227:{1,2,3,7}:{(183,1),(187,1),(344,1)}
       228:{1,3,5,7}:{(184,1),(185,1),(265,1),(268,1),(271,1),(339,1),(344,1)}
       229:{1,2,5,6}:{(185,1),(186,1),(257,1),(266,1),(269,1),(271,1)}
       230:{1,2,3,5}:{(186,1),(187,1),(267,1),(272,1)}
       231:{1,4,5,6}:{(189,1),(202,1),(273,1),(274,1),(303,1)}
       232:{1,4,6,7}:{(188,1),(189,1),(191,1),(203,1),(273,1),(400,1)}
       233:{1,3,4,6}:{(189,1),(190,1),(195,1),(204,1),(274,1),(276,1)}
       234:{2,4,5,7}:{(190,1),(193,1),(196,1),(276,1),(277,1),(278,1),(346,1)}
       235:{1,3,4,7}:{(191,1),(192,1),(198,1),(206,1),(278,1),(400,1),(411,1)}
       236:{2,4,6}:{(192,1),(193,1),(199,1),(278,1),(279,1)}
       237:{1,4,5}:{(193,1),(200,1),(279,1)}
       238:{1,3,6,7}:{(194,1),(195,1),(198,1),(210,1),(281,1),(399,1)}
       239:{2,3,6}:{(195,1),(196,1),(276,1),(282,1)}
       240:{1,3,5,7}:{(196,1),(197,1),(200,1),(277,1),(282,1),(283,1)}
       241:{1,2,4,7}:{(197,1),(201,1),(283,1),(284,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(278,1),(281,1),(285,1),(300,1),(346,1),(364,1)}
       243:{1,3,5,6}:{(199,1),(200,1),(279,1),(282,1),(285,1),(286,1),(347,1),(352,1)}
       244:{1,2,5}:{(200,1),(201,1)}
       245:{1,2,3,6}:{(201,1),(284,1),(287,1),(352,1)}
       246:{2,4,5,7}:{(202,1),(203,1),(216,1),(273,1),(289,1),(302,1),(346,1)}
       247:{3,5,6}:{(202,1),(204,1),(289,1)}
       248:{3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(289,1),(399,1),(411,1)}
       249:{2,3,4,6}:{(204,1),(205,1),(219,1),(276,1),(290,1),(292,1),(362,1),(397,1)}
       250:{1,3,4,5,7}:{(205,1),(208,1),(220,1),(277,1),(292,1),(293,1),(294,1),(306,1),(350,1),(359,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       251:{2,3,4,7}:{(206,1),(207,1),(211,1),(221,1),(278,1),(294,1),(364,1),(411,1)}
       252:{1,3,4,6}:{(207,1),(208,1),(212,1),(222,1),(279,1),(294,1),(295,1),(308,1),(352,1)}
       253:{2,4,5}:{(208,1),(295,1),(296,1)}
       254:{3,5,6,7}:{(209,1),(210,1),(289,1),(297,1)}
       255:{2,3,6,7}:{(210,1),(211,1),(214,1),(299,1),(399,1)}
       256:{1,3,5,7}:{(211,1),(212,1),(215,1),(294,1),(299,1),(300,1)}
       257:{2,5,6}:{(212,1),(295,1),(300,1)}
       258:{2,5,6,7}:{(213,1),(214,1),(301,1),(302,1),(346,1)}
       259:{1,4,6,7}:{(214,1),(215,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(218,1),(289,1),(302,1)}
       261:{2,5,6}:{(217,1),(219,1),(302,1),(303,1)}
       262:{2,4,6,7}:{(218,1),(219,1),(221,1),(224,1),(302,1),(304,1)}
       263:{1,4,6}:{(219,1),(220,1),(225,1),(303,1)}
       264:{1,2,4,5,7}:{(220,1),(223,1),(226,1),(293,1),(305,1),(306,1),(307,1),(312,1),(367,1),(371,1),(400,1),(401,1)}
       265:{1,4,7}:{(221,1),(222,1),(228,1)}
       266:{1,2,4,6}:{(222,1),(223,1),(229,1),(295,1),(307,1),(308,1)}
       267:{1,3,5}:{(223,1),(296,1),(308,1),(309,1)}
       268:{1,3,6,7}:{(224,1),(225,1),(228,1),(304,1),(310,1)}
       269:{1,2,6}:{(225,1),(226,1)}
       270:{1,2,3,5,7}:{(226,1),(227,1),(230,1),(306,1),(311,1),(312,1),(371,1)}
       271:{1,2,5,7}:{(228,1),(229,1),(300,1),(307,1),(310,1)}
       272:{1,2,4}:{(230,1),(309,1)}
       273:{1,4,5,7}:{(231,1),(232,1),(246,1),(313,1),(339,1)}
       274:{1,3,5,6}:{(231,1),(233,1),(247,1),(313,1),(314,1)}
       275:{1,3,4,6,7}:{(232,1),(233,1),(235,1),(238,1),(248,1),(313,1),(315,1)}
       276:{2,4,6}:{(233,1),(234,1),(239,1),(314,1),(316,1)}
       277:{1,4,5,7}:{(234,1),(237,1),(240,1),(316,1),(318,1),(372,1)}
       278:{2,4,7}:{(235,1),(236,1),(242,1),(318,1)}
       279:{1,4,6}:{(236,1),(237,1),(243,1),(318,1)}
       280:{1,2,4,5}:{(237,1),(244,1),(253,1),(319,1),(320,1),(325,1)}
       281:{2,3,6,7}:{(238,1),(239,1),(242,1),(315,1),(321,1),(338,1)}
       282:{1,3,6}:{(239,1),(240,1),(316,1),(322,1)}
       283:{1,2,5,7}:{(240,1),(241,1),(244,1),(322,1)}
       284:{1,2,3,7}:{(241,1),(245,1),(377,1)}
       285:{1,3,5,7}:{(242,1),(243,1),(318,1),(321,1),(324,1),(372,1),(377,1)}
       286:{1,2,5,6}:{(243,1),(244,1),(257,1),(319,1),(322,1),(324,1)}
       287:{1,2,3,5}:{(244,1),(245,1),(320,1),(325,1)}
       288:{3,4,5,6}:{(247,1),(326,1),(327,1),(406,1)}
       289:{3,5,7}:{(246,1),(247,1),(248,1)}
       290:{2,3,5,6}:{(247,1),(249,1),(261,1),(314,1),(327,1),(328,1),(329,1)}
       291:{2,3,4,6,7}:{(248,1),(249,1),(251,1),(255,1),(262,1),(315,1),(328,1),(330,1),(336,1),(383,1),(407,1)}
       292:{1,3,4,6}:{(249,1),(250,1),(263,1),(316,1),(329,1),(331,1),(342,1),(375,1),(387,1),(403,1),(406,1)}
       293:{2,4,5,7}:{(250,1),(253,1),(331,1),(332,1),(333,1),(381,1),(407,1),(408,1)}
       294:{1,3,4,7}:{(251,1),(252,1),(256,1),(265,1),(318,1),(333,1),(344,1),(377,1)}
       295:{2,4,6}:{(252,1),(253,1),(257,1),(333,1),(334,1)}
       296:{2,3,5}:{(253,1),(267,1),(320,1),(334,1),(335,1)}
       297:{3,4,6,7}:{(254,1),(326,1),(336,1)}
       298:{2,3,5,6,7}:{(254,1),(255,1),(258,1),(328,1),(336,1),(337,1)}
       299:{1,3,6,7}:{(255,1),(256,1),(259,1),(338,1)}
       300:{2,5,7}:{(256,1),(257,1),(333,1),(338,1)}
       301:{1,5,6,7}:{(258,1),(259,1),(339,1),(372,1)}
       302:{2,5,7}:{(260,1),(261,1),(262,1),(339,1)}
       303:{1,5,6}:{(261,1),(263,1),(339,1)}
       304:{1,4,6,7}:{(262,1),(263,1),(265,1),(268,1),(339,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(269,1),(331,1),(340,1),(342,1),(387,1)}
       306:{1,3,5,7}:{(264,1),(267,1),(332,1),(342,1),(343,1),(344,1),(388,1)}
       307:{1,2,4,7}:{(265,1),(266,1),(271,1),(333,1),(344,1)}
       308:{1,3,6}:{(266,1),(267,1),(334,1),(344,1)}
       309:{1,3,4}:{(267,1),(272,1),(335,1)}
       310:{1,2,6,7}:{(268,1),(269,1),(271,1),(338,1)}
       311:{1,2,3,6}:{(269,1),(270,1),(342,1),(345,1)}
       312:{1,2,4,7}:{(270,1),(272,1),(343,1),(345,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(275,1),(289,1),(346,1)}
       314:{2,5,6}:{(274,1),(276,1),(346,1),(347,1)}
       315:{2,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(346,1),(348,1)}
       316:{1,4,6}:{(276,1),(277,1),(282,1),(347,1)}
       317:{1,2,4,5,7}:{(277,1),(280,1),(283,1),(293,1),(349,1),(350,1),(351,1),(356,1),(389,1),(393,1),(409,1),(410,1)}
       318:{1,4,7}:{(278,1),(279,1),(285,1)}
       319:{1,2,4,6}:{(279,1),(280,1),(286,1),(295,1),(351,1),(352,1)}
       320:{1,3,5}:{(280,1),(296,1),(352,1),(353,1)}
       321:{1,3,6,7}:{(281,1),(282,1),(285,1),(348,1),(354,1)}
       322:{1,2,6}:{(282,1),(283,1)}
       323:{1,2,3,5,7}:{(283,1),(284,1),(287,1),(350,1),(355,1),(356,1),(393,1)}
       324:{1,2,5,7}:{(285,1),(286,1),(300,1),(351,1),(354,1)}
       325:{1,2,4}:{(287,1),(353,1)}
       326:{3,4,5,7}:{(288,1),(289,1),(297,1),(357,1),(411,1)}
       327:{2,4,5,6}:{(288,1),(290,1),(357,1),(358,1),(397,1)}
       328:{2,3,5,7}:{(289,1),(290,1),(291,1),(302,1),(346,1),(357,1),(359,1)}
       329:{1,3,5,6}:{(290,1),(292,1),(303,1),(347,1),(358,1),(359,1),(360,1),(395,1)}
       330:{1,3,4,6,7}:{(291,1),(292,1),(294,1),(299,1),(304,1),(348,1),(359,1),(361,1),(365,1),(369,1),(391,1),(399,1),(400,1),(409,1),(411,1)}
       331:{2,4,6}:{(292,1),(293,1),(360,1),(362,1)}
       332:{2,3,5,7}:{(293,1),(296,1),(306,1),(350,1),(362,1),(363,1),(364,1),(398,1)}
       333:{2,4,7}:{(294,1),(295,1),(300,1),(364,1)}
       334:{2,3,6}:{(295,1),(296,1),(308,1),(352,1),(364,1)}
       335:{2,3,4}:{(296,1),(309,1),(353,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(357,1),(365,1)}
       337:{1,3,5,6,7}:{(298,1),(299,1),(301,1),(359,1),(365,1),(366,1),(399,1)}
       338:{2,6,7}:{(299,1),(300,1)}
       339:{1,5,7}:{(302,1),(303,1),(304,1)}
       340:{1,2,5,6}:{(303,1),(305,1),(360,1),(367,1),(368,1),(371,1)}
       341:{1,2,4,6,7}:{(304,1),(305,1),(307,1),(310,1),(361,1),(367,1),(369,1),(400,1)}
       342:{1,3,6}:{(305,1),(306,1),(362,1)}
       343:{1,3,4,7}:{(306,1),(309,1),(312,1),(363,1),(370,1),(400,1)}
       344:{1,3,7}:{(307,1),(308,1),(364,1)}
       345:{1,2,4,6}:{(311,1),(312,1),(370,1),(371,1)}
       346:{2,5,7}:{(313,1),(314,1),(315,1),(372,1)}
       347:{1,5,6}:{(314,1),(316,1),(372,1)}
       348:{1,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(372,1)}
       349:{1,2,4,6}:{(316,1),(317,1),(322,1),(331,1),(373,1),(375,1),(403,1)}
       350:{1,3,5,7}:{(317,1),(320,1),(332,1),(375,1),(376,1),(377,1),(404,1)}
       351:{1,2,4,7}:{(318,1),(319,1),(324,1),(333,1),(377,1)}
       352:{1,3,6}:{(319,1),(320,1),(334,1),(377,1)}
       353:{1,3,4}:{(320,1),(325,1),(335,1)}
       354:{1,2,6,7}:{(321,1),(322,1),(324,1),(338,1)}
       355:{1,2,3,6}:{(322,1),(323,1),(375,1),(378,1)}
       356:{1,2,4,7}:{(323,1),(325,1),(376,1),(378,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(336,1),(379,1),(407,1)}
       358:{1,4,5,6}:{(327,1),(329,1),(379,1),(380,1),(387,1),(403,1)}
       359:{1,3,5,7}:{(328,1),(329,1),(330,1),(339,1),(372,1),(379,1),(381,1),(405,1)}
       360:{2,5,6}:{(329,1),(331,1),(381,1)}
       361:{2,4,6,7}:{(330,1),(331,1),(333,1),(338,1),(381,1),(383,1),(407,1)}
       362:{2,3,6}:{(331,1),(332,1),(342,1),(375,1)}
       363:{2,3,4,7}:{(332,1),(335,1),(343,1),(376,1),(384,1),(407,1)}
       364:{2,3,7}:{(333,1),(334,1),(344,1),(377,1)}
       365:{1,4,6,7}:{(336,1),(337,1),(379,1),(385,1)}
       366:{2,5,6,7}:{(337,1),(338,1),(381,1),(385,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(341,1),(381,1),(386,1)}
       368:{1,3,5,6}:{(340,1),(342,1),(382,1),(386,1),(387,1),(388,1)}
       369:{1,3,6,7}:{(341,1),(342,1),(344,1),(383,1),(386,1)}
       370:{1,3,4,6}:{(342,1),(343,1),(345,1),(384,1),(387,1),(388,1)}
       371:{1,2,5}:{(345,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(348,1)}
       373:{1,2,5,6}:{(347,1),(349,1),(360,1),(389,1),(390,1),(393,1)}
       374:{1,2,4,6,7}:{(348,1),(349,1),(351,1),(354,1),(361,1),(389,1),(391,1),(409,1)}
       375:{1,3,6}:{(349,1),(350,1),(362,1)}
       376:{1,3,4,7}:{(350,1),(353,1),(356,1),(363,1),(392,1),(409,1)}
       377:{1,3,7}:{(351,1),(352,1),(364,1)}
       378:{1,2,4,6}:{(355,1),(356,1),(392,1),(393,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(359,1),(365,1),(394,1),(400,1),(409,1)}
       380:{2,4,5,6}:{(358,1),(360,1),(394,1),(395,1),(397,1)}
       381:{2,5,7}:{(359,1),(360,1),(361,1)}
       382:{2,3,5,6}:{(360,1),(362,1),(368,1),(390,1),(395,1),(396,1),(397,1),(398,1)}
       383:{2,3,6,7}:{(361,1),(362,1),(364,1),(369,1),(391,1),(396,1),(399,1)}
       384:{2,3,4,6}:{(362,1),(363,1),(370,1),(392,1),(397,1),(398,1)}
       385:{2,4,6,7}:{(365,1),(366,1),(394,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(396,1),(400,1)}
       387:{1,4,6}:{(368,1),(397,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(398,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(374,1),(381,1),(402,1)}
       390:{1,3,5,6}:{(373,1),(375,1),(382,1),(402,1),(403,1),(404,1)}
       391:{1,3,6,7}:{(374,1),(375,1),(377,1),(383,1),(402,1)}
       392:{1,3,4,6}:{(375,1),(376,1),(378,1),(384,1),(403,1),(404,1)}
       393:{1,2,5}:{(378,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(381,1),(385,1),(405,1),(407,1)}
       395:{3,5,6}:{(380,1),(405,1),(406,1)}
       396:{2,3,5,7}:{(381,1),(382,1),(383,1),(386,1),(402,1),(405,1),(407,1)}
       397:{2,4,6}:{(382,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       398:{2,3,5}:{(384,1),(388,1),(404,1),(408,1)}
       399:{3,6,7}:{(385,1),(405,1)}
       400:{1,4,7}:{(386,1),(387,1),(407,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(409,1)}
       403:{1,4,6}:{(390,1),(397,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(398,1),(410,1)}
       405:{3,5,7}:{(394,1),(395,1),(399,1),(411,1)}
       406:{3,4,6}:{(395,1),(397,1),(411,1),(412,1)}
       407:{2,4,7}:{(396,1),(397,1),(400,1),(409,1),(411,1)}
       408:{2,4,5}:{(397,1),(398,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(407,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(406,1),(408,1)}

1985 :   0:{1,2,3,5}:{(2,1),(3,1),(19,1),(21,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(28,1),(67,1)}
         2:{1,2,3,6}:{(0,1),(8,1),(9,1),(36,1)}
         3:{1,2,4}:{(0,1),(7,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(41,1),(43,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(19,1),(41,1),(55,1),(82,1),(88,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(47,1),(90,1)}
         7:{1,3,4}:{(3,1),(13,1),(19,1)}
         8:{1,2,3,7}:{(2,1),(20,1),(58,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(18,1),(20,1),(21,1),(59,1)}
        10:{1,2,4,5}:{(3,1),(14,1),(19,1),(21,1),(22,1),(55,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(63,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{2,3,4}:{(7,1),(23,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(36,1),(63,1),(78,1),(103,1),(108,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(70,1),(110,1)}
        18:{1,3,4,6}:{(7,1),(9,1),(27,1),(34,1),(35,1),(36,1),(78,1),(79,1)}
        19:{1,3,5}:{(7,1),(10,1),(28,1),(36,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(34,1),(37,1)}
        21:{1,2,5}:{(9,1),(35,1)}
        22:{1,2,4,6}:{(10,1),(29,1),(36,1),(38,1),(39,1),(78,1)}
        23:{1,3,4}:{(12,1),(13,1),(41,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(85,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(42,1),(43,1),(86,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(41,1),(43,1),(44,1),(82,1)}
        27:{2,3,4,6}:{(13,1),(18,1),(40,1),(45,1),(46,1),(47,1),(90,1),(91,1)}
        28:{2,3,5}:{(13,1),(14,1),(19,1),(41,1),(47,1)}
        29:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(58,1),(85,1),(100,1),(119,1),(122,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(90,1),(123,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(45,1),(56,1),(58,1),(100,1)}
        35:{1,3,5}:{(18,1),(21,1),(46,1),(55,1)}
        36:{1,3,6}:{(19,1),(22,1),(47,1),(58,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(56,1),(59,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(48,1),(57,1),(59,1),(60,1)}
        39:{1,2,4,7}:{(22,1),(49,1),(58,1),(60,1),(100,1)}
        40:{1,3,4,6}:{(23,1),(25,1),(27,1),(61,1),(62,1),(63,1),(103,1),(104,1)}
        41:{1,3,5}:{(23,1),(26,1),(28,1),(63,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(61,1),(64,1)}
        43:{1,2,5}:{(25,1),(62,1)}
        44:{1,2,4,6}:{(26,1),(29,1),(63,1),(65,1),(66,1),(103,1)}
        45:{2,3,4,7}:{(27,1),(34,1),(61,1),(68,1),(70,1),(110,1)}
        46:{2,3,5}:{(27,1),(35,1),(62,1),(67,1)}
        47:{2,3,6}:{(28,1),(29,1),(36,1),(63,1),(70,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(70,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(78,1),(103,1),(116,1),(129,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(108,1),(131,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(110,1),(133,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,4,5}:{(35,1),(67,1),(78,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(37,1),(68,1),(77,1),(79,1)}
        57:{1,3,5,6}:{(35,1),(36,1),(38,1),(69,1),(78,1),(79,1),(80,1),(116,1)}
        58:{1,3,7}:{(36,1),(39,1),(70,1)}
        59:{1,2,6}:{(37,1),(79,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(72,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(40,1),(42,1),(45,1),(83,1),(85,1),(119,1)}
        62:{1,3,5}:{(40,1),(43,1),(46,1),(82,1)}
        63:{1,3,6}:{(41,1),(44,1),(47,1),(85,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(83,1),(86,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(84,1),(86,1),(87,1)}
        66:{1,2,4,7}:{(44,1),(49,1),(85,1),(87,1),(119,1)}
        67:{2,4,5}:{(46,1),(55,1),(82,1),(88,1),(90,1)}
        68:{2,3,5,7}:{(45,1),(46,1),(56,1),(83,1),(89,1),(91,1)}
        69:{2,3,5,6}:{(46,1),(47,1),(48,1),(57,1),(84,1),(90,1),(91,1),(92,1),(93,1),(123,1)}
        70:{2,3,7}:{(47,1),(49,1),(58,1),(85,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(90,1),(93,1),(94,1),(123,1),(136,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(100,1),(119,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(122,1),(137,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,5,7}:{(55,1),(56,1),(89,1),(99,1),(100,1),(128,1)}
        78:{1,4,6}:{(55,1),(57,1),(90,1),(100,1)}
        79:{1,3,6}:{(56,1),(59,1),(91,1),(99,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(60,1),(92,1),(100,1),(101,1),(128,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(101,1)}
        82:{1,4,5}:{(62,1),(67,1),(103,1)}
        83:{1,3,5,7}:{(61,1),(62,1),(64,1),(68,1),(102,1),(104,1)}
        84:{1,3,5,6}:{(62,1),(63,1),(65,1),(69,1),(103,1),(104,1),(105,1),(129,1)}
        85:{1,3,7}:{(63,1),(66,1),(70,1)}
        86:{1,2,6}:{(64,1),(104,1)}
        87:{1,2,5,7}:{(65,1),(66,1),(72,1),(105,1),(106,1)}
        88:{3,4,5}:{(67,1),(108,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(77,1),(102,1),(107,1),(109,1),(110,1),(133,1)}
        90:{2,4,6}:{(67,1),(69,1),(78,1),(103,1),(108,1),(110,1)}
        91:{2,3,6}:{(68,1),(79,1),(104,1),(109,1)}
        92:{2,3,5,7}:{(69,1),(70,1),(72,1),(80,1),(105,1),(110,1),(111,1),(112,1),(133,1)}
        93:{3,5,6}:{(71,1),(108,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(110,1),(112,1),(113,1),(133,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(133,1)}
        99:{1,4,6}:{(77,1),(79,1),(109,1),(116,1)}
       100:{1,4,7}:{(78,1),(80,1),(110,1)}
       101:{1,3,6,7}:{(79,1),(80,1),(81,1),(111,1),(117,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(89,1),(118,1),(119,1),(135,1)}
       103:{1,4,6}:{(82,1),(84,1),(90,1),(119,1)}
       104:{1,3,6}:{(83,1),(86,1),(91,1),(118,1)}
       105:{1,3,5,7}:{(84,1),(85,1),(87,1),(92,1),(119,1),(120,1),(135,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(120,1)}
       107:{3,4,5,7}:{(88,1),(89,1),(121,1),(122,1),(137,1)}
       108:{3,4,6}:{(88,1),(90,1),(93,1),(122,1)}
       109:{2,4,6}:{(89,1),(91,1),(99,1),(118,1),(121,1),(123,1)}
       110:{2,4,7}:{(90,1),(92,1),(100,1),(119,1),(122,1)}
       111:{2,3,6,7}:{(91,1),(92,1),(95,1),(101,1),(120,1),(124,1),(125,1)}
       112:{3,5,7}:{(93,1),(94,1),(122,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(137,1)}
       116:{1,5,6}:{(99,1),(123,1),(128,1)}
       117:{1,4,6,7}:{(99,1),(100,1),(101,1),(124,1),(128,1)}
       118:{1,4,6}:{(102,1),(104,1),(109,1),(129,1)}
       119:{1,4,7}:{(103,1),(105,1),(110,1)}
       120:{1,3,6,7}:{(104,1),(105,1),(106,1),(111,1),(130,1)}
       121:{3,4,6}:{(107,1),(109,1),(131,1)}
       122:{3,4,7}:{(108,1),(110,1),(112,1)}
       123:{2,5,6}:{(109,1),(116,1),(129,1),(131,1),(133,1)}
       124:{2,4,6,7}:{(109,1),(110,1),(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(133,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(133,1)}
       129:{1,5,6}:{(118,1),(123,1),(135,1)}
       130:{1,4,6,7}:{(118,1),(119,1),(120,1),(124,1),(135,1)}
       131:{3,5,6}:{(121,1),(123,1),(136,1),(137,1)}
       132:{3,4,6,7}:{(121,1),(122,1),(124,1),(125,1),(137,1),(138,1)}
       133:{2,5,7}:{(123,1),(124,1),(128,1),(135,1),(137,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(137,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(133,1)}
       136:{4,5,6}:{(131,1),(139,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

1986 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(128,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(23,1),(144,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(32,1),(158,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(23,1),(39,1),(140,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(166,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(43,1),(70,1),(74,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(44,1),(46,1),(114,1),(140,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(33,1),(49,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(29,1),(32,1),(154,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(171,1)}
        11:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(29,1),(54,1),(92,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(35,1),(58,1),(131,1),(154,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(164,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(105,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(39,1),(41,1),(70,1),(107,1)}
        17:{1,3,4,6,7}:{(11,1),(23,1),(24,1),(109,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(147,1),(164,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(119,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(153,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(32,1),(54,1),(124,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(126,1)}
        24:{1,3,4,5,7}:{(17,1),(33,1),(34,1),(54,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(119,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(130,1),(153,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(138,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{1,2,3,5,6,7}:{(22,1),(39,1),(42,1),(64,1),(70,1),(73,1),(105,1),(107,1),(138,1),(143,1),(165,1),(174,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(43,1),(142,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1),(70,1)}
        34:{1,3,4,5,6}:{(24,1),(44,1),(71,1),(109,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(112,1),(138,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(121,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{1,2,4,6,7}:{(31,1),(32,1),(53,1),(56,1),(57,1),(81,1),(119,1),(126,1),(159,1),(172,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(89,1),(126,1)}
        45:{1,3,4,5,6,7}:{(34,1),(59,1),(90,1),(129,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(121,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(130,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(106,1),(136,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(138,1),(165,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{1,3,4,6,7}:{(42,1),(69,1),(73,1),(99,1),(109,1),(138,1)}
        57:{1,2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1),(106,1),(169,1),(174,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(142,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(108,1),(145,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(105,1),(112,1),(138,1),(148,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(112,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(144,1),(148,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(118,1),(162,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(118,1),(123,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(126,1),(153,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(119,1),(172,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(117,1),(121,1),(126,1),(153,1),(172,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(88,1),(92,1)}
        74:{1,2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(119,1),(126,1),(158,1),(171,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(159,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(161,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(121,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(132,1),(158,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(160,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(170,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(138,1),(142,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(145,1),(165,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(138,1),(142,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(104,1),(105,1),(174,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(104,1),(106,1),(107,1),(174,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(108,1)}
        91:{1,3,4,5,7}:{(73,1),(106,1),(109,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(107,1),(109,1),(138,1)}
        93:{1,2,4,5,6,7}:{(74,1),(75,1),(108,1),(110,1),(139,1),(145,1),(169,1),(174,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(111,1),(112,1),(138,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(112,1),(147,1)}
        96:{2,3,5}:{(77,1),(78,1),(112,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(115,1),(116,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(116,1),(150,1),(169,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(118,1),(119,1),(123,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(122,1),(155,1),(159,1)}
       104:{1,3,5,7}:{(86,1),(87,1),(88,1),(123,1),(124,1)}
       105:{1,2,5,6}:{(87,1),(89,1),(119,1),(124,1),(171,1)}
       106:{2,4,5,7}:{(88,1),(91,1),(123,1),(126,1)}
       107:{2,3,5,6}:{(88,1),(89,1),(92,1),(121,1),(124,1),(126,1),(153,1),(171,1)}
       108:{2,5,6,7}:{(89,1),(90,1),(122,1)}
       109:{1,3,4,6}:{(91,1),(92,1),(126,1)}
       110:{1,3,5,6,7}:{(92,1),(93,1),(127,1),(129,1),(155,1),(173,1)}
       111:{2,3,4,6}:{(94,1),(117,1),(130,1),(153,1),(161,1)}
       112:{1,3,5}:{(94,1),(95,1),(96,1),(130,1)}
       113:{1,2,4,5,6}:{(95,1),(97,1),(119,1),(132,1),(133,1),(158,1),(161,1),(171,1)}
       114:{2,3,4,5}:{(96,1),(131,1),(134,1)}
       115:{2,3,5,6}:{(96,1),(97,1),(121,1),(132,1),(134,1),(135,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(122,1),(135,1)}
       117:{2,3,4,7}:{(99,1),(111,1),(136,1),(170,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(112,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(105,1),(138,1),(142,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(106,1),(114,1),(137,1),(140,1),(151,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(108,1),(116,1),(141,1)}
       123:{1,4,5,7}:{(104,1),(106,1),(142,1)}
       124:{1,3,5,6}:{(104,1),(105,1),(107,1),(138,1),(142,1)}
       125:{1,2,5,6,7}:{(105,1),(108,1),(139,1),(143,1),(174,1)}
       126:{2,4,6}:{(106,1),(107,1),(109,1),(142,1)}
       127:{2,3,5,6,7}:{(107,1),(108,1),(110,1),(141,1),(143,1),(145,1),(165,1),(168,1),(174,1)}
       128:{1,3,4,5,6}:{(109,1),(144,1),(146,1),(166,1)}
       129:{1,3,4,6,7}:{(109,1),(110,1),(145,1),(146,1)}
       130:{2,3,5}:{(111,1),(112,1),(147,1)}
       131:{1,3,4,5}:{(112,1),(114,1),(147,1),(149,1)}
       132:{1,3,5,6}:{(112,1),(113,1),(115,1),(138,1),(148,1),(149,1),(150,1)}
       133:{1,2,4,5,7}:{(113,1),(116,1),(139,1),(150,1),(169,1),(170,1),(174,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(149,1),(151,1)}
       135:{2,3,5,7}:{(115,1),(116,1),(141,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(130,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(123,1),(131,1),(152,1),(154,1),(163,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(125,1),(133,1),(155,1),(159,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(126,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(135,1),(155,1)}
       142:{1,4,6}:{(123,1),(124,1),(126,1)}
       143:{1,3,5,6,7}:{(124,1),(125,1),(127,1),(155,1),(159,1),(173,1)}
       144:{2,4,5,6}:{(126,1),(128,1),(156,1),(158,1),(160,1),(171,1)}
       145:{2,4,6,7}:{(126,1),(127,1),(129,1),(159,1),(160,1)}
       146:{1,3,4,5,7}:{(128,1),(129,1),(160,1),(173,1)}
       147:{2,4,5}:{(130,1),(131,1),(161,1)}
       148:{2,3,5,6}:{(130,1),(132,1),(153,1),(161,1),(162,1),(171,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(161,1),(163,1)}
       150:{1,3,5,7}:{(132,1),(133,1),(135,1),(155,1),(162,1),(163,1)}
       151:{2,3,4,7}:{(134,1),(135,1),(163,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(147,1),(164,1),(170,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(142,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(150,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(144,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(145,1),(151,1),(167,1),(168,1)}
       158:{1,4,5,6}:{(142,1),(144,1),(166,1),(169,1)}
       159:{1,4,6,7}:{(142,1),(143,1),(145,1),(169,1)}
       160:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(169,1),(174,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,5,7}:{(148,1),(150,1),(165,1),(170,1),(174,1)}
       163:{1,3,4,7}:{(149,1),(150,1),(151,1),(170,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(162,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(158,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(159,1),(163,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(160,1),(173,1)}
       169:{1,4,5,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,4,7}:{(161,1),(162,1),(163,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(170,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(169,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

1987 :   0:{1,2,3,5}:{(2,1),(3,1),(20,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(96,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(61,1)}
         8:{1,2,3,7}:{(2,1),(21,1),(62,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(20,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(109,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(79,1),(104,1),(109,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(114,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(30,1),(36,1),(37,1),(40,1),(79,1),(82,1)}
        20:{1,2,5}:{(7,1),(36,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(37,1),(39,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(38,1),(40,1),(41,1),(79,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(88,1)}
        25:{1,2,3,7}:{(11,1),(44,1),(89,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(43,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(96,1),(127,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(122,1),(136,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(96,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(101,1),(119,1),(122,1)}
        36:{1,3,5}:{(19,1),(20,1),(50,1),(57,1)}
        37:{1,3,4,7}:{(19,1),(21,1),(51,1),(59,1),(62,1),(101,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(52,1),(58,1),(60,1),(61,1)}
        39:{1,2,5,7}:{(20,1),(21,1),(59,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(60,1),(62,1),(101,1)}
        42:{1,3,4,6}:{(24,1),(26,1),(30,1),(63,1),(64,1),(67,1),(104,1),(107,1)}
        43:{1,2,5}:{(24,1),(63,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(64,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(65,1),(67,1),(68,1),(104,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(79,1),(104,1),(118,1),(130,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(114,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,5}:{(30,1),(36,1),(63,1),(73,1)}
        51:{2,3,4,7}:{(30,1),(37,1),(64,1),(75,1),(78,1),(114,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(36,1),(73,1),(79,1)}
        58:{1,3,5,6}:{(36,1),(38,1),(40,1),(74,1),(79,1),(81,1),(82,1),(118,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(39,1),(75,1),(80,1),(82,1)}
        60:{1,2,5,7}:{(38,1),(41,1),(76,1),(81,1),(83,1)}
        61:{1,2,6}:{(39,1),(82,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,5}:{(42,1),(43,1),(50,1),(84,1)}
        64:{1,3,4,7}:{(42,1),(44,1),(51,1),(86,1),(89,1),(119,1)}
        65:{1,2,5,6}:{(43,1),(46,1),(52,1),(85,1),(87,1),(88,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(87,1),(89,1),(119,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(96,1),(127,1),(137,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(101,1),(119,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(136,1)}
        73:{2,4,5}:{(50,1),(57,1),(84,1),(90,1),(96,1)}
        74:{2,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(85,1),(91,1),(96,1),(98,1),(99,1),(127,1)}
        75:{2,3,5,7}:{(50,1),(51,1),(59,1),(86,1),(97,1),(99,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,6}:{(57,1),(58,1),(96,1),(101,1)}
        80:{1,4,5,7}:{(57,1),(59,1),(97,1),(101,1),(102,1),(128,1)}
        81:{1,3,5,7}:{(58,1),(60,1),(62,1),(98,1),(101,1),(103,1),(128,1)}
        82:{1,3,6}:{(59,1),(61,1),(99,1),(102,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(63,1),(73,1),(104,1)}
        85:{1,3,5,6}:{(63,1),(65,1),(67,1),(74,1),(104,1),(106,1),(107,1),(130,1)}
        86:{1,3,5,7}:{(63,1),(64,1),(66,1),(75,1),(105,1),(107,1)}
        87:{1,2,5,7}:{(65,1),(68,1),(76,1),(106,1),(108,1)}
        88:{1,2,6}:{(66,1),(107,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(109,1)}
        91:{3,5,6}:{(69,1),(109,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(114,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,6}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1)}
        97:{2,4,5,7}:{(73,1),(75,1),(80,1),(105,1),(110,1),(114,1),(115,1),(134,1)}
        98:{2,3,5,7}:{(74,1),(76,1),(78,1),(81,1),(106,1),(111,1),(114,1),(116,1),(134,1)}
        99:{2,3,6}:{(75,1),(82,1),(107,1),(115,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,7}:{(79,1),(81,1),(114,1)}
       102:{1,4,6}:{(80,1),(82,1),(115,1),(118,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(117,1)}
       104:{1,4,6}:{(84,1),(85,1),(96,1),(119,1)}
       105:{1,4,5,7}:{(84,1),(86,1),(97,1),(119,1),(120,1),(135,1)}
       106:{1,3,5,7}:{(85,1),(87,1),(89,1),(98,1),(119,1),(121,1),(135,1)}
       107:{1,3,6}:{(86,1),(88,1),(99,1),(120,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,6}:{(90,1),(91,1),(96,1),(122,1)}
       110:{3,4,5,7}:{(90,1),(97,1),(122,1),(123,1),(136,1)}
       111:{3,5,7}:{(91,1),(92,1),(122,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,7}:{(96,1),(98,1),(101,1),(119,1),(122,1)}
       115:{2,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(127,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(126,1)}
       117:{1,4,6,7}:{(101,1),(102,1),(103,1),(126,1),(128,1)}
       118:{1,5,6}:{(102,1),(127,1),(128,1)}
       119:{1,4,7}:{(104,1),(106,1),(114,1)}
       120:{1,4,6}:{(105,1),(107,1),(115,1),(130,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(129,1)}
       122:{3,4,7}:{(109,1),(111,1),(114,1)}
       123:{3,4,6}:{(110,1),(115,1),(132,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6,7}:{(114,1),(115,1),(116,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,5,6}:{(115,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,4,6,7}:{(119,1),(120,1),(121,1),(126,1),(135,1)}
       130:{1,5,6}:{(120,1),(127,1),(135,1)}
       131:{3,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(136,1),(138,1)}
       132:{3,5,6}:{(123,1),(127,1),(136,1),(137,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(136,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(136,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       137:{4,5,6}:{(132,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

1988 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

1989 :   0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(146,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(136,1),(151,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(25,1),(27,1),(122,1),(144,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(18,1),(36,1),(41,1),(105,1),(134,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,3,6,7}:{(4,1),(14,1),(16,1),(74,1),(151,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(40,1)}
        10:{1,2,4,5}:{(5,1),(17,1),(18,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(82,1),(99,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(29,1),(50,1),(58,1),(84,1),(120,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(144,1),(153,1)}
        15:{1,2,5,6}:{(7,1),(24,1),(25,1)}
        16:{1,2,3,5,7}:{(8,1),(9,1),(25,1),(27,1),(56,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
        18:{1,3,4,5}:{(10,1),(28,1),(29,1)}
        19:{1,2,3,5,7}:{(11,1),(30,1),(31,1),(32,1),(79,1),(116,1)}
        20:{1,2,3,4,6}:{(11,1),(31,1),(32,1),(64,1)}
        21:{1,3,4,5,7}:{(12,1),(30,1),(33,1),(43,1),(65,1),(66,1),(77,1),(103,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(33,1),(35,1)}
        23:{1,3,4,6,7}:{(13,1),(14,1),(34,1),(36,1),(41,1),(71,1),(74,1),(134,1),(149,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(35,1),(36,1),(37,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(36,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(37,1),(39,1),(40,1),(73,1)}
        27:{1,2,4,7}:{(16,1),(17,1),(41,1)}
        28:{1,3,4,6}:{(17,1),(18,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,5}:{(18,1),(42,1),(43,1)}
        30:{1,2,4,5,7}:{(19,1),(21,1),(44,1),(47,1),(60,1),(80,1),(82,1),(97,1)}
        31:{1,2,3,6}:{(19,1),(44,1)}
        32:{1,2,3,5}:{(20,1),(47,1)}
        33:{1,3,4,6}:{(21,1),(22,1),(44,1),(49,1)}
        34:{2,3,4,6,7}:{(22,1),(23,1),(48,1),(50,1),(58,1),(88,1),(94,1),(120,1),(141,1)}
        35:{2,3,5,6}:{(22,1),(24,1),(49,1),(50,1),(51,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(50,1),(53,1)}
        37:{1,4,5,6}:{(24,1),(51,1),(53,1)}
        38:{1,2,5,6,7}:{(25,1),(52,1),(55,1),(128,1),(153,1)}
        39:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(55,1),(56,1),(92,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(56,1),(58,1)}
        42:{2,3,4,6}:{(28,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,3,4,5}:{(29,1),(59,1),(60,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(33,1),(62,1)}
        45:{1,2,3,6,7}:{(31,1),(61,1),(63,1),(116,1),(131,1)}
        46:{1,2,3,5,6}:{(31,1),(32,1),(62,1),(63,1),(64,1),(102,1)}
        47:{1,2,4,5}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(77,1),(103,1),(106,1),(114,1),(131,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(62,1),(66,1),(67,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(36,1),(66,1),(69,1)}
        51:{2,4,5,6}:{(35,1),(37,1),(67,1),(69,1),(70,1)}
        52:{1,3,5,6,7}:{(36,1),(38,1),(68,1),(71,1),(74,1),(149,1),(152,1)}
        53:{1,4,5,7}:{(36,1),(37,1),(69,1),(71,1)}
        54:{1,3,4,5,6}:{(37,1),(40,1),(70,1),(72,1),(73,1)}
        55:{1,2,4,6,7}:{(38,1),(39,1),(71,1),(74,1),(112,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(74,1),(75,1)}
        57:{2,3,5,6}:{(40,1),(42,1),(73,1),(75,1),(76,1)}
        58:{2,3,4,7}:{(41,1),(42,1),(75,1),(77,1)}
        59:{1,3,4,6}:{(42,1),(43,1),(76,1),(77,1),(78,1)}
        60:{1,2,4,5}:{(43,1),(78,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(80,1),(82,1),(97,1),(130,1)}
        62:{1,2,5,6}:{(44,1),(49,1),(80,1)}
        63:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(82,1),(118,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(82,1),(83,1)}
        65:{1,3,4,5}:{(47,1),(83,1),(84,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(80,1),(86,1)}
        67:{1,4,5,6}:{(49,1),(51,1),(86,1)}
        68:{2,3,5,6,7}:{(50,1),(52,1),(85,1),(88,1),(94,1),(127,1),(128,1),(141,1),(147,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(53,1),(86,1),(88,1),(89,1)}
        70:{3,4,5,6}:{(51,1),(89,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(88,1)}
        72:{1,3,4,5,7}:{(53,1),(54,1),(56,1),(89,1),(91,1),(92,1)}
        73:{2,4,5,6}:{(54,1),(57,1),(92,1),(93,1)}
        74:{1,3,6,7}:{(55,1),(56,1),(94,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(58,1),(92,1),(94,1),(95,1)}
        76:{1,3,5,6}:{(57,1),(59,1),(93,1),(95,1),(96,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(95,1),(97,1)}
        78:{1,2,4,6}:{(59,1),(60,1),(96,1),(97,1),(98,1)}
        79:{1,2,3,5}:{(60,1),(98,1),(99,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(66,1)}
        81:{1,2,4,5,6}:{(62,1),(64,1),(67,1),(101,1),(102,1),(108,1)}
        82:{1,2,4,7}:{(63,1),(64,1),(103,1)}
        83:{1,3,4,6}:{(64,1),(65,1),(102,1),(103,1),(104,1)}
        84:{2,3,4,5}:{(65,1),(104,1),(105,1)}
        85:{1,3,5,6,7}:{(66,1),(68,1),(100,1),(106,1),(114,1),(131,1),(140,1)}
        86:{1,4,5,7}:{(66,1),(67,1),(69,1),(106,1)}
        87:{1,3,4,5,6}:{(67,1),(70,1),(102,1),(107,1),(108,1)}
        88:{2,4,6,7}:{(68,1),(69,1),(71,1),(106,1),(110,1)}
        89:{3,4,5,7}:{(69,1),(70,1),(110,1)}
        90:{1,4,5,6,7}:{(71,1),(109,1),(111,1),(152,1)}
        91:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(110,1),(111,1),(112,1)}
        92:{2,4,5,7}:{(72,1),(73,1),(75,1),(112,1),(113,1)}
        93:{1,4,5,6}:{(73,1),(76,1),(113,1)}
        94:{2,3,6,7}:{(74,1),(75,1),(112,1),(114,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(77,1),(113,1),(114,1),(115,1)}
        96:{1,2,5,6}:{(76,1),(78,1),(115,1)}
        97:{1,2,4,7}:{(77,1),(78,1),(115,1),(116,1)}
        98:{1,2,3,6}:{(78,1),(79,1),(116,1)}
        99:{1,2,3,4}:{(79,1)}
       100:{1,2,5,6,7}:{(80,1),(85,1),(117,1),(130,1),(147,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(86,1),(117,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(118,1),(119,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(118,1),(120,1)}
       104:{2,3,4,6}:{(83,1),(84,1),(119,1),(120,1),(121,1)}
       105:{1,3,4,5}:{(84,1),(121,1),(122,1)}
       106:{1,4,6,7}:{(85,1),(86,1),(88,1)}
       107:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(118,1),(124,1),(125,1)}
       108:{2,4,5,6}:{(87,1),(119,1),(125,1),(126,1)}
       109:{2,4,5,6,7}:{(88,1),(90,1),(123,1),(127,1),(128,1),(147,1)}
       110:{3,4,6,7}:{(88,1),(89,1),(127,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(127,1),(128,1)}
       112:{2,4,6,7}:{(91,1),(92,1),(94,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(92,1),(93,1),(95,1),(129,1)}
       114:{1,3,6,7}:{(94,1),(95,1),(129,1),(130,1)}
       115:{1,2,5,7}:{(95,1),(96,1),(97,1),(130,1)}
       116:{1,2,3,7}:{(97,1),(98,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(106,1),(131,1),(138,1)}
       118:{1,3,5,7}:{(101,1),(102,1),(103,1),(131,1),(132,1)}
       119:{2,3,5,6}:{(102,1),(104,1),(108,1),(132,1),(133,1)}
       120:{2,3,4,7}:{(103,1),(104,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(104,1),(105,1),(133,1),(134,1),(135,1)}
       122:{1,2,4,5}:{(105,1),(135,1),(136,1)}
       123:{1,4,5,6,7}:{(106,1),(109,1),(137,1),(140,1)}
       124:{1,3,4,6,7}:{(106,1),(107,1),(110,1),(131,1),(137,1),(138,1)}
       125:{2,4,5,7}:{(107,1),(108,1),(132,1),(138,1),(139,1)}
       126:{1,4,5,6}:{(108,1),(133,1),(139,1)}
       127:{3,5,6,7}:{(109,1),(110,1)}
       128:{2,5,6,7}:{(111,1),(112,1),(140,1)}
       129:{1,4,6,7}:{(112,1),(113,1),(114,1),(140,1)}
       130:{1,2,6,7}:{(114,1),(115,1)}
       131:{1,3,6,7}:{(117,1),(118,1),(141,1)}
       132:{2,3,5,7}:{(118,1),(119,1),(120,1),(125,1),(141,1),(142,1)}
       133:{1,3,5,6}:{(119,1),(121,1),(126,1),(142,1),(143,1)}
       134:{1,3,4,7}:{(120,1),(121,1),(142,1),(144,1)}
       135:{1,2,4,6}:{(121,1),(122,1),(143,1),(144,1),(145,1)}
       136:{1,2,3,5}:{(122,1),(145,1),(146,1)}
       137:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(147,1)}
       138:{2,4,6,7}:{(124,1),(125,1),(141,1),(147,1),(148,1)}
       139:{1,4,5,7}:{(125,1),(126,1),(142,1),(148,1)}
       140:{1,5,6,7}:{(128,1),(129,1)}
       141:{2,3,6,7}:{(131,1),(132,1),(138,1),(149,1)}
       142:{1,3,5,7}:{(132,1),(133,1),(134,1),(139,1),(149,1),(150,1)}
       143:{1,2,5,6}:{(133,1),(135,1),(150,1)}
       144:{1,2,4,7}:{(134,1),(135,1),(150,1),(151,1)}
       145:{1,2,3,6}:{(135,1),(136,1),(151,1)}
       146:{1,2,3,4}:{(136,1)}
       147:{2,5,6,7}:{(137,1),(138,1),(152,1)}
       148:{1,4,6,7}:{(138,1),(139,1),(149,1),(152,1)}
       149:{1,3,6,7}:{(141,1),(142,1),(148,1),(153,1)}
       150:{1,2,5,7}:{(142,1),(143,1),(144,1),(153,1)}
       151:{1,2,3,7}:{(144,1),(145,1)}
       152:{1,5,6,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(149,1),(150,1)}

1990 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

1991 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(59,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(59,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(59,1),(66,1),(89,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(45,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(75,1),(116,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(45,1),(118,1),(119,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(49,1),(51,1),(75,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(45,1),(78,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(59,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(88,1),(108,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(62,1),(110,1),(112,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(56,1),(59,1),(86,1),(89,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(65,1),(67,1),(88,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(40,1),(41,1),(115,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(41,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(42,1),(43,1),(48,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(43,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(41,1),(44,1),(45,1),(106,1),(118,1)}
        30:{1,2,4,7}:{(18,1),(42,1),(46,1),(47,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(43,1),(47,1),(48,1),(77,1),(100,1),(102,1)}
        32:{2,3,5}:{(19,1),(20,1),(48,1),(49,1)}
        33:{1,4,5}:{(20,1),(45,1),(49,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(40,1),(50,1),(51,1),(75,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(43,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(45,1),(52,1),(54,1),(106,1)}
        39:{1,3,5,6,7}:{(35,1),(55,1),(56,1),(86,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(34,1),(57,1),(58,1),(86,1),(107,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(29,1),(58,1),(59,1),(114,1),(121,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(60,1),(64,1)}
        43:{1,3,6}:{(27,1),(28,1),(36,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(58,1),(61,1),(62,1),(70,1),(96,1),(110,1)}
        45:{1,4,6}:{(29,1),(33,1),(59,1),(62,1)}
        46:{1,2,3,7}:{(30,1),(63,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(60,1),(63,1),(64,1),(92,1)}
        48:{1,3,5}:{(31,1),(32,1),(64,1),(65,1)}
        49:{2,4,5}:{(32,1),(33,1),(62,1),(65,1),(66,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(57,1),(67,1),(88,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(56,1),(59,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(62,1),(68,1),(69,1),(70,1),(96,1)}
        55:{2,5,6,7}:{(39,1),(51,1),(71,1),(72,1)}
        56:{1,4,6,7}:{(39,1),(52,1),(72,1),(115,1)}
        57:{1,3,6,7}:{(40,1),(43,1),(50,1),(73,1),(74,1)}
        58:{2,3,5,7}:{(40,1),(41,1),(44,1),(51,1),(74,1),(75,1),(83,1),(105,1),(116,1)}
        59:{1,4,7}:{(41,1),(45,1),(75,1)}
        60:{1,2,6}:{(42,1),(43,1)}
        61:{1,3,5,6}:{(43,1),(44,1),(48,1),(53,1),(74,1),(76,1),(77,1),(100,1)}
        62:{2,4,6}:{(44,1),(45,1),(49,1),(75,1),(77,1),(78,1)}
        63:{1,2,3,6}:{(46,1),(47,1),(79,1),(100,1)}
        64:{1,2,5}:{(47,1),(48,1)}
        65:{1,4,5}:{(48,1),(49,1),(77,1)}
        66:{3,4,5}:{(49,1),(78,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(72,1),(75,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(77,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(78,1),(83,1)}
        71:{1,5,6,7}:{(55,1),(67,1),(85,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(68,1),(85,1),(86,1),(107,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(107,1)}
        74:{1,3,5,7}:{(57,1),(58,1),(61,1),(67,1),(87,1),(88,1),(108,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(88,1),(89,1)}
        76:{1,2,5,6}:{(60,1),(61,1),(64,1),(87,1),(90,1),(96,1)}
        77:{1,4,6}:{(61,1),(62,1),(65,1),(88,1)}
        78:{3,4,6}:{(62,1),(66,1),(70,1),(89,1)}
        79:{1,2,3,5}:{(63,1),(64,1),(92,1),(93,1)}
        80:{1,2,4,5}:{(64,1),(65,1),(90,1),(92,1),(93,1),(94,1)}
        81:{1,3,4,5}:{(65,1),(66,1),(91,1),(93,1),(94,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(85,1),(88,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(86,1),(89,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(91,1),(95,1),(96,1)}
        85:{1,4,6,7}:{(71,1),(72,1),(82,1),(97,1)}
        86:{3,6,7}:{(72,1),(83,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(76,1),(98,1),(105,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1)}
        89:{3,4,7}:{(75,1),(78,1),(83,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(98,1),(100,1),(101,1)}
        91:{1,3,4,6}:{(77,1),(78,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        92:{1,2,4}:{(79,1),(102,1)}
        93:{1,3,5}:{(80,1),(100,1),(102,1),(103,1)}
        94:{2,4,5}:{(81,1),(101,1),(103,1),(104,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(97,1),(99,1),(105,1)}
        96:{2,5,6}:{(84,1),(101,1),(105,1),(106,1)}
        97:{1,3,6,7}:{(85,1),(86,1),(95,1),(107,1)}
        98:{1,2,4,7}:{(87,1),(88,1),(90,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(88,1),(89,1),(91,1),(95,1),(108,1),(109,1)}
       100:{1,3,6}:{(90,1),(93,1),(108,1),(110,1)}
       101:{2,4,6}:{(91,1),(94,1),(96,1),(109,1),(110,1),(111,1)}
       102:{1,3,4}:{(92,1),(93,1),(112,1)}
       103:{2,3,5}:{(93,1),(94,1),(110,1),(112,1),(113,1)}
       104:{1,4,5}:{(94,1),(111,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(107,1),(109,1),(114,1)}
       106:{1,5,6}:{(96,1),(111,1),(114,1)}
       107:{2,6,7}:{(97,1),(105,1),(115,1)}
       108:{1,3,7}:{(98,1),(100,1),(116,1)}
       109:{2,4,7}:{(99,1),(101,1),(105,1),(116,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(103,1),(116,1),(118,1)}
       111:{1,4,6}:{(101,1),(104,1),(106,1),(117,1),(118,1)}
       112:{2,3,4}:{(102,1),(103,1),(119,1)}
       113:{1,3,5}:{(103,1),(104,1),(118,1),(119,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(115,1),(117,1)}
       115:{1,6,7}:{(107,1),(114,1)}
       116:{2,3,7}:{(108,1),(109,1),(110,1),(121,1)}
       117:{1,4,7}:{(109,1),(111,1),(114,1),(121,1)}
       118:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       119:{1,3,4}:{(112,1),(113,1),(123,1)}
       120:{1,2,5}:{(113,1),(122,1),(123,1)}
       121:{1,3,7}:{(116,1),(117,1),(118,1),(124,1)}
       122:{1,2,6}:{(118,1),(120,1),(124,1)}
       123:{1,2,4}:{(119,1),(120,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

1992 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

1993 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(30,1),(33,1),(69,1),(70,1),(71,1),(78,1),(119,1),(164,1),(167,1),(204,1),(205,1),(207,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(60,1),(95,1),(144,1),(151,1),(154,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(22,1),(24,1),(51,1),(60,1),(93,1),(104,1),(154,1),(156,1),(196,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(48,1),(92,1),(105,1),(188,1),(221,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(14,1),(40,1),(118,1),(127,1),(129,1),(177,1)}
         5:{1,3,4,6}:{(3,1),(9,1),(12,1),(13,1),(204,1),(206,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(14,1),(41,1),(71,1),(119,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(12,1),(14,1),(15,1),(131,1),(178,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(29,1),(67,1),(69,1),(70,1),(83,1),(119,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(48,1),(98,1),(220,1),(221,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(26,1),(56,1),(60,1),(91,1),(100,1),(102,1),(144,1),(157,1),(188,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(143,1),(196,1)}
        12:{1,3,4,7}:{(5,1),(7,1),(24,1),(196,1),(197,1)}
        13:{2,4,6}:{(5,1),(8,1),(18,1),(24,1),(25,1)}
        14:{1,3,6,7}:{(6,1),(7,1),(26,1),(92,1),(188,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(60,1),(93,1),(109,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(27,1),(28,1),(48,1),(63,1),(92,1),(95,1)}
        17:{1,3,4,5,7}:{(9,1),(12,1),(31,1),(32,1),(40,1),(68,1),(79,1),(124,1),(132,1),(171,1),(178,1)}
        18:{2,4,5}:{(9,1),(13,1),(29,1),(33,1),(69,1),(121,1)}
        19:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(44,1),(75,1),(76,1),(84,1),(118,1),(135,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(117,1),(167,1),(179,1)}
        21:{2,3,4,6}:{(13,1),(29,1),(38,1),(39,1),(67,1),(83,1),(121,1),(169,1),(206,1)}
        22:{1,4,5,7}:{(11,1),(30,1),(36,1),(40,1),(129,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(31,1),(37,1),(40,1),(41,1)}
        24:{2,4,7}:{(12,1),(13,1),(15,1),(42,1)}
        25:{1,4,6}:{(13,1),(16,1),(33,1),(42,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(41,1),(44,1),(67,1),(119,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1),(86,1)}
        28:{1,2,5,6}:{(16,1),(43,1),(45,1),(69,1),(119,1)}
        29:{2,3,5}:{(18,1),(21,1),(48,1),(190,1),(221,1)}
        30:{1,4,5,6}:{(22,1),(46,1),(49,1),(139,1),(143,1),(191,1)}
        31:{1,3,4,6}:{(17,1),(49,1),(50,1),(90,1),(92,1),(143,1),(188,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(24,1),(47,1),(50,1),(51,1),(60,1),(93,1),(146,1),(190,1)}
        33:{1,4,5}:{(18,1),(25,1),(48,1),(142,1)}
        34:{1,2,5,6,7}:{(19,1),(53,1),(64,1),(102,1),(110,1),(139,1),(144,1)}
        35:{1,4,6,7}:{(19,1),(20,1),(54,1),(143,1),(158,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(46,1),(54,1),(56,1),(60,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(56,1),(90,1),(188,1),(197,1)}
        38:{2,3,4,7}:{(21,1),(24,1),(47,1),(58,1),(109,1),(146,1),(197,1)}
        39:{1,3,4,6}:{(21,1),(25,1),(48,1),(58,1),(59,1),(63,1),(92,1),(98,1),(105,1),(142,1),(187,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(49,1),(56,1),(60,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(50,1),(60,1),(61,1)}
        42:{1,4,7}:{(24,1),(25,1),(27,1)}
        43:{1,2,4,6}:{(25,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        44:{1,3,6,7}:{(26,1),(27,1),(61,1),(64,1),(92,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(62,1),(64,1),(93,1)}
        46:{2,4,5,6}:{(30,1),(36,1),(65,1),(66,1),(70,1),(114,1),(117,1),(167,1),(207,1)}
        47:{2,3,5,7}:{(29,1),(32,1),(38,1),(67,1),(68,1),(178,1)}
        48:{1,3,5}:{(29,1),(33,1),(39,1),(69,1),(205,1)}
        49:{1,3,5,6}:{(30,1),(31,1),(40,1),(66,1),(70,1),(171,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(70,1),(71,1),(119,1)}
        51:{1,4,5,7}:{(32,1),(33,1),(42,1),(68,1),(71,1),(84,1),(166,1),(205,1)}
        52:{1,2,4,5}:{(33,1),(43,1),(69,1),(73,1),(121,1)}
        53:{1,2,4,6,7}:{(34,1),(35,1),(74,1),(75,1),(77,1),(163,1),(167,1),(202,1)}
        54:{1,4,5,7}:{(35,1),(36,1),(65,1),(76,1),(84,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(75,1),(76,1),(77,1),(113,1),(125,1)}
        56:{3,5,7}:{(36,1),(37,1),(66,1)}
        57:{2,3,4,6,7}:{(37,1),(38,1),(41,1),(67,1),(77,1),(80,1),(81,1),(117,1),(134,1),(162,1),(169,1),(172,1),(179,1),(206,1),(231,1)}
        58:{1,3,4,7}:{(38,1),(39,1),(42,1),(68,1),(82,1),(86,1),(131,1),(166,1)}
        59:{2,4,6}:{(39,1),(69,1),(82,1),(83,1),(119,1),(121,1)}
        60:{2,5,7}:{(40,1),(41,1),(70,1),(84,1)}
        61:{1,4,6,7}:{(41,1),(42,1),(44,1),(71,1),(84,1)}
        62:{1,2,4,7}:{(42,1),(43,1),(45,1),(82,1),(86,1)}
        63:{1,3,6}:{(43,1),(73,1),(83,1),(86,1)}
        64:{1,2,6,7}:{(44,1),(45,1),(119,1)}
        65:{1,4,5,6}:{(46,1),(54,1),(88,1),(95,1),(143,1),(220,1)}
        66:{3,5,6}:{(46,1),(56,1),(90,1),(188,1),(221,1)}
        67:{2,3,6}:{(47,1),(50,1),(92,1),(188,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(51,1),(58,1),(92,1),(93,1)}
        69:{2,5}:{(48,1),(59,1)}
        70:{2,5,6}:{(49,1),(50,1),(60,1),(95,1),(190,1)}
        71:{1,4,6}:{(50,1),(51,1),(92,1),(95,1)}
        72:{1,2,4,5,7}:{(51,1),(52,1),(62,1),(93,1),(96,1),(97,1),(110,1),(146,1),(156,1),(158,1),(190,1),(191,1)}
        73:{1,3,5}:{(52,1),(63,1),(94,1),(98,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(87,1),(99,1),(102,1),(110,1),(149,1),(153,1),(156,1),(158,1),(194,1),(222,1)}
        75:{1,3,6,7}:{(53,1),(99,1),(100,1),(184,1),(188,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(56,1),(88,1),(102,1)}
        77:{2,4,6,7}:{(55,1),(100,1),(102,1),(103,1),(138,1),(149,1)}
        78:{1,2,4,6}:{(59,1),(89,1),(104,1),(105,1),(140,1),(142,1),(187,1)}
        79:{3,4,5,7}:{(56,1),(90,1),(106,1),(197,1),(221,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(60,1),(91,1),(102,1),(106,1),(107,1),(190,1),(221,1),(240,1)}
        81:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(92,1),(103,1),(107,1),(108,1),(111,1),(143,1),(148,1),(155,1),(158,1),(184,1),(187,1),(188,1),(192,1),(196,1),(197,1),(219,1),(239,1)}
        82:{2,4,7}:{(58,1),(59,1),(93,1),(109,1)}
        83:{2,3,6}:{(59,1),(63,1),(94,1),(105,1),(109,1)}
        84:{1,5,7}:{(60,1),(61,1),(95,1)}
        85:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(96,1),(108,1),(110,1),(111,1),(158,1),(217,1),(222,1),(239,1)}
        86:{1,3,7}:{(62,1),(63,1),(109,1)}
        87:{1,2,4,5,6}:{(65,1),(74,1),(112,1),(114,1),(122,1),(160,1),(163,1),(167,1),(170,1),(199,1),(202,1),(207,1),(226,1),(228,1),(243,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(76,1),(113,1),(114,1),(232,1)}
        89:{1,2,5}:{(69,1),(78,1),(116,1),(205,1)}
        90:{3,4,6}:{(66,1),(79,1),(117,1)}
        91:{2,3,5,6}:{(66,1),(67,1),(70,1),(80,1),(114,1),(117,1),(118,1),(162,1)}
        92:{1,3,6}:{(67,1),(68,1),(71,1),(119,1)}
        93:{2,5,7}:{(68,1),(69,1),(82,1),(119,1)}
        94:{2,3,5}:{(69,1),(73,1),(83,1),(116,1),(121,1)}
        95:{1,5,6}:{(70,1),(71,1),(84,1),(205,1)}
        96:{1,2,4,6}:{(71,1),(72,1),(119,1),(122,1),(123,1),(167,1),(169,1),(170,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(86,1),(120,1),(123,1),(124,1),(171,1),(178,1)}
        98:{1,3,4}:{(73,1),(121,1)}
        99:{1,3,5,7}:{(74,1),(75,1),(112,1),(125,1),(126,1),(178,1),(233,1)}
       100:{2,3,6,7}:{(75,1),(77,1),(126,1),(127,1),(162,1),(202,1)}
       101:{1,3,4,5,7}:{(76,1),(79,1),(113,1),(125,1),(128,1),(132,1),(159,1),(175,1),(178,1),(212,1),(232,1)}
       102:{2,5,7}:{(76,1),(77,1),(114,1),(129,1)}
       103:{1,4,6,7}:{(77,1),(127,1),(129,1),(163,1),(173,1)}
       104:{1,2,4,7}:{(78,1),(82,1),(115,1),(131,1),(166,1)}
       105:{1,3,6}:{(78,1),(83,1),(116,1),(131,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(117,1),(132,1),(179,1),(207,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(84,1),(118,1),(129,1),(132,1),(133,1),(171,1),(178,1),(205,1),(232,1),(243,1)}
       108:{2,4,6,7}:{(81,1),(82,1),(119,1),(133,1),(134,1),(167,1),(169,1),(179,1),(202,1),(208,1),(231,1)}
       109:{2,3,7}:{(82,1),(83,1),(86,1),(131,1)}
       110:{1,2,5,7}:{(84,1),(85,1),(122,1),(133,1),(135,1),(243,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(123,1),(134,1),(135,1),(230,1),(233,1)}
       112:{1,3,5,6}:{(87,1),(99,1),(136,1),(137,1),(184,1),(188,1),(213,1),(221,1),(238,1)}
       113:{1,3,4,6}:{(88,1),(90,1),(101,1),(138,1),(143,1),(184,1),(188,1)}
       114:{2,5,6}:{(88,1),(102,1),(138,1),(139,1),(240,1)}
       115:{1,2,5,7}:{(89,1),(93,1),(104,1),(140,1),(141,1)}
       116:{1,3,5}:{(89,1),(94,1),(105,1),(142,1)}
       117:{2,4,6}:{(90,1),(91,1),(106,1),(143,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(107,1),(139,1),(143,1),(144,1),(184,1),(188,1)}
       119:{2,6}:{(92,1),(93,1)}
       120:{2,3,5,7}:{(93,1),(94,1),(97,1),(109,1),(141,1),(145,1),(146,1),(190,1)}
       121:{2,4}:{(94,1),(98,1),(142,1)}
       122:{1,2,5,6}:{(95,1),(96,1),(110,1),(144,1),(147,1),(190,1),(217,1)}
       123:{1,3,6}:{(96,1),(97,1),(145,1),(188,1)}
       124:{1,3,4,7}:{(97,1),(98,1),(146,1),(148,1),(158,1),(197,1)}
       125:{1,3,4,7}:{(99,1),(136,1),(149,1),(158,1),(197,1)}
       126:{2,3,5,7}:{(99,1),(100,1),(102,1),(137,1),(149,1),(150,1),(194,1),(223,1)}
       127:{1,3,6,7}:{(100,1),(103,1),(150,1),(151,1),(184,1)}
       128:{2,4,5,7}:{(101,1),(102,1),(138,1),(149,1),(152,1),(153,1),(180,1),(194,1),(225,1),(240,1)}
       129:{1,5,7}:{(102,1),(103,1),(139,1)}
       130:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(140,1),(151,1),(154,1),(155,1),(185,1),(187,1),(193,1),(196,1)}
       131:{1,3,7}:{(104,1),(105,1),(109,1)}
       132:{1,4,5,7}:{(106,1),(107,1),(143,1),(156,1),(158,1),(191,1),(196,1),(220,1)}
       133:{2,5,7}:{(107,1),(108,1),(144,1),(190,1),(240,1)}
       134:{2,3,6,7}:{(108,1),(109,1),(111,1),(145,1),(155,1),(157,1),(188,1),(218,1),(223,1)}
       135:{1,3,5,7}:{(110,1),(111,1),(147,1),(157,1),(158,1)}
       136:{1,3,4,6}:{(112,1),(125,1),(159,1),(160,1),(170,1),(206,1)}
       137:{2,3,5,6}:{(112,1),(114,1),(126,1),(160,1),(161,1),(162,1),(198,1),(202,1),(226,1),(229,1)}
       138:{2,4,6}:{(113,1),(114,1),(128,1),(162,1),(163,1),(202,1)}
       139:{1,5,6}:{(114,1),(129,1),(163,1),(243,1)}
       140:{1,2,6}:{(115,1),(119,1),(165,1)}
       141:{1,3,5,7}:{(115,1),(116,1),(120,1),(131,1),(165,1),(166,1),(205,1)}
       142:{1,4}:{(116,1),(121,1)}
       143:{1,4,6}:{(117,1),(118,1),(132,1),(167,1)}
       144:{2,5,6}:{(118,1),(119,1),(133,1),(167,1),(202,1)}
       145:{2,3,6}:{(119,1),(120,1),(123,1),(165,1),(169,1)}
       146:{2,4,7}:{(120,1),(121,1),(124,1),(166,1),(169,1)}
       147:{1,3,5,6}:{(122,1),(123,1),(135,1),(168,1),(170,1),(171,1),(230,1),(243,1)}
       148:{1,3,4,6}:{(123,1),(124,1),(169,1),(170,1),(171,1),(206,1)}
       149:{2,4,7}:{(125,1),(126,1),(160,1),(173,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(129,1),(161,1),(173,1),(174,1),(209,1)}
       151:{1,2,6,7}:{(127,1),(174,1),(202,1)}
       152:{2,3,5,7}:{(128,1),(162,1),(172,1),(175,1),(178,1),(198,1)}
       153:{1,4,5,7}:{(128,1),(129,1),(163,1),(173,1),(175,1),(199,1),(234,1),(243,1)}
       154:{1,2,5,7}:{(129,1),(130,1),(133,1),(164,1),(177,1),(205,1)}
       155:{1,3,6,7}:{(130,1),(131,1),(134,1),(165,1),(177,1),(203,1),(209,1)}
       156:{2,4,5,7}:{(132,1),(133,1),(167,1),(178,1),(179,1),(207,1)}
       157:{2,3,5,7}:{(133,1),(134,1),(135,1),(168,1),(177,1),(178,1),(179,1)}
       158:{1,4,7}:{(135,1),(170,1),(179,1)}
       159:{1,3,4,5}:{(136,1),(180,1),(191,1),(213,1),(221,1),(237,1)}
       160:{2,4,6}:{(136,1),(137,1),(149,1),(180,1),(182,1)}
       161:{1,3,5,6}:{(137,1),(139,1),(150,1),(182,1),(183,1),(184,1),(213,1),(216,1)}
       162:{2,3,6}:{(138,1),(152,1),(184,1),(188,1)}
       163:{1,4,6}:{(138,1),(139,1),(153,1),(184,1)}
       164:{1,2,5,6}:{(139,1),(140,1),(144,1),(154,1),(185,1),(186,1),(240,1)}
       165:{1,3,6}:{(140,1),(141,1),(145,1),(187,1)}
       166:{1,4,7}:{(141,1),(142,1),(146,1),(187,1)}
       167:{2,4,6}:{(143,1),(144,1),(156,1),(188,1)}
       168:{2,3,5,6}:{(144,1),(145,1),(147,1),(157,1),(186,1),(188,1),(189,1),(190,1),(218,1),(221,1),(240,1)}
       169:{2,4,6}:{(145,1),(146,1),(148,1),(187,1),(190,1)}
       170:{1,4,6}:{(147,1),(158,1),(189,1),(191,1)}
       171:{1,3,5}:{(148,1),(190,1),(191,1),(221,1)}
       172:{2,3,4,7}:{(149,1),(152,1),(181,1),(192,1),(197,1),(223,1),(225,1)}
       173:{1,4,7}:{(149,1),(150,1),(182,1)}
       174:{1,2,5,7}:{(150,1),(151,1),(183,1),(193,1),(194,1)}
       175:{1,3,5,7}:{(152,1),(153,1),(184,1),(192,1),(194,1),(213,1)}
       176:{1,2,4,5,7}:{(153,1),(154,1),(156,1),(185,1),(193,1),(194,1),(195,1),(196,1),(214,1),(220,1),(225,1),(240,1)}
       177:{1,3,5,7}:{(154,1),(155,1),(157,1),(186,1),(196,1)}
       178:{3,5,7}:{(156,1),(188,1),(197,1),(221,1)}
       179:{2,4,7}:{(157,1),(158,1),(189,1),(196,1),(197,1)}
       180:{2,4,5}:{(159,1),(160,1),(198,1),(199,1),(226,1),(242,1)}
       181:{2,3,4,6}:{(160,1),(162,1),(172,1),(198,1),(200,1),(206,1),(229,1),(231,1),(242,1)}
       182:{1,4,6}:{(160,1),(161,1),(173,1),(199,1)}
       183:{1,2,5,6}:{(161,1),(174,1),(201,1),(202,1),(226,1)}
       184:{1,3,6}:{(162,1),(163,1),(175,1),(202,1)}
       185:{1,2,4,6}:{(163,1),(164,1),(167,1),(176,1),(202,1),(203,1),(204,1),(231,1)}
       186:{1,3,5,6}:{(164,1),(165,1),(168,1),(177,1),(203,1),(204,1),(205,1),(232,1)}
       187:{1,4,6}:{(165,1),(166,1),(169,1),(205,1)}
       188:{3,6}:{(167,1),(178,1)}
       189:{2,4,6}:{(168,1),(170,1),(179,1),(204,1),(206,1),(207,1)}
       190:{2,5}:{(169,1),(171,1),(205,1)}
       191:{1,4,5}:{(170,1),(171,1),(207,1),(243,1)}
       192:{1,3,4,7}:{(172,1),(173,1),(175,1),(200,1),(208,1),(209,1),(233,1),(234,1)}
       193:{1,2,4,7}:{(173,1),(174,1),(201,1),(208,1),(209,1)}
       194:{2,5,7}:{(175,1),(202,1),(208,1),(226,1)}
       195:{1,3,5,7}:{(176,1),(178,1),(203,1),(209,1),(211,1),(212,1),(227,1),(232,1)}
       196:{1,4,7}:{(177,1),(179,1),(204,1)}
       197:{3,4,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,5}:{(180,1),(181,1),(213,1),(221,1),(240,1)}
       199:{1,4,5}:{(180,1),(182,1),(213,1),(244,1)}
       200:{1,3,4,6}:{(181,1),(182,1),(184,1),(192,1),(213,1),(215,1),(216,1),(237,1),(238,1),(239,1),(244,1)}
       201:{1,2,4,6}:{(182,1),(183,1),(193,1),(214,1),(215,1),(216,1)}
       202:{2,6}:{(184,1),(194,1)}
       203:{1,3,6}:{(185,1),(188,1),(195,1),(218,1)}
       204:{1,4,6}:{(186,1),(189,1),(196,1),(220,1)}
       205:{1,5}:{(187,1),(190,1)}
       206:{3,4,6}:{(188,1),(189,1),(197,1),(221,1)}
       207:{2,4,5}:{(189,1),(190,1),(191,1),(220,1),(221,1),(240,1)}
       208:{2,4,7}:{(192,1),(194,1),(215,1),(223,1)}
       209:{1,3,7}:{(193,1),(216,1),(223,1)}
       210:{1,2,5,7}:{(194,1),(217,1),(222,1),(224,1),(235,1)}
       211:{2,3,5,7}:{(194,1),(195,1),(218,1),(223,1),(224,1),(225,1),(236,1),(240,1)}
       212:{1,3,4,7}:{(195,1),(196,1),(197,1),(219,1),(225,1),(237,1)}
       213:{1,3,5}:{(198,1),(199,1),(200,1),(226,1),(243,1)}
       214:{1,2,4,5}:{(199,1),(201,1),(226,1),(227,1),(242,1)}
       215:{2,4,6}:{(200,1),(202,1),(208,1),(226,1),(229,1),(242,1)}
       216:{1,3,6}:{(201,1),(209,1),(227,1),(229,1)}
       217:{1,2,6}:{(202,1),(210,1),(230,1)}
       218:{2,3,6}:{(202,1),(203,1),(211,1),(230,1),(231,1)}
       219:{1,3,4,6}:{(203,1),(204,1),(206,1),(212,1),(231,1),(232,1)}
       220:{1,4,5}:{(204,1),(205,1),(207,1),(232,1)}
       221:{3,5}:{(206,1),(207,1)}
       222:{1,2,4,7}:{(208,1),(210,1),(228,1),(233,1),(234,1)}
       223:{2,3,7}:{(208,1),(209,1),(229,1),(233,1)}
       224:{1,3,5,7}:{(210,1),(211,1),(230,1),(233,1),(234,1),(241,1),(243,1)}
       225:{2,4,7}:{(211,1),(212,1),(231,1),(234,1),(242,1)}
       226:{2,5}:{(213,1),(215,1)}
       227:{1,3,5}:{(214,1),(216,1),(236,1),(237,1)}
       228:{1,2,4,6}:{(215,1),(217,1),(222,1),(235,1),(238,1),(239,1),(244,1)}
       229:{2,3,6}:{(215,1),(216,1),(223,1),(236,1),(238,1)}
       230:{1,3,6}:{(217,1),(218,1),(224,1),(239,1)}
       231:{2,4,6}:{(218,1),(219,1),(225,1),(239,1),(240,1)}
       232:{1,3,5}:{(219,1),(220,1),(221,1),(240,1)}
       233:{1,3,7}:{(222,1),(223,1),(238,1)}
       234:{1,4,7}:{(224,1),(225,1),(239,1),(244,1)}
       235:{1,2,5}:{(226,1),(228,1),(241,1),(243,1)}
       236:{2,3,5}:{(226,1),(227,1),(229,1),(241,1),(242,1)}
       237:{1,3,4}:{(227,1),(242,1)}
       238:{1,3,6}:{(228,1),(229,1),(233,1),(241,1)}
       239:{1,4,6}:{(230,1),(231,1),(234,1),(243,1)}
       240:{2,5}:{(231,1),(232,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(238,1),(244,1)}
       242:{2,4}:{(236,1),(237,1),(244,1)}
       243:{1,5}:{(239,1),(240,1)}
       244:{1,4}:{(241,1),(242,1)}

1994 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

1995 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(51,1),(117,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(22,1),(24,1),(62,1),(65,1),(127,1),(192,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(30,1),(77,1),(145,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(9,1),(153,1)}
         4:{1,3,4,5,7}:{(1,1),(8,1),(10,1),(29,1),(37,1),(75,1),(87,1),(141,1),(153,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(39,1),(89,1),(227,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(19,1),(51,1),(177,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(108,1),(183,1)}
         8:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(18,1),(51,1),(55,1),(108,1)}
         9:{2,5,6,7}:{(3,1),(18,1),(19,1),(191,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(18,1),(20,1),(21,1),(58,1),(119,1),(191,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(20,1),(22,1),(127,1)}
        12:{1,4,5,6}:{(5,1),(21,1),(22,1),(121,1),(257,1)}
        13:{2,3,4,5}:{(17,1),(26,1),(122,1),(132,1),(202,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(213,1)}
        15:{3,4,6,7}:{(7,1),(29,1),(30,1)}
        16:{2,3,5,6,7}:{(7,1),(9,1),(28,1),(30,1),(31,1),(34,1),(71,1),(74,1)}
        17:{2,3,4,6}:{(11,1),(13,1),(32,1),(33,1),(89,1),(148,1),(165,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(10,1),(34,1),(35,1),(82,1)}
        19:{1,5,6,7}:{(9,1),(35,1),(226,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(32,1),(34,1),(37,1),(141,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(35,1),(37,1),(155,1),(226,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(38,1),(39,1),(40,1),(80,1),(89,1),(94,1),(154,1),(158,1),(163,1),(225,1),(227,1),(228,1),(236,1),(279,1),(287,1),(308,1)}
        24:{3,4,5,6}:{(29,1),(42,1),(221,1),(286,1)}
        25:{2,3,4,5,7}:{(13,1),(32,1),(43,1),(44,1),(74,1),(134,1),(156,1),(159,1),(168,1),(217,1),(270,1),(274,1),(287,1),(307,1)}
        26:{1,3,4,5}:{(13,1),(33,1),(45,1),(98,1),(158,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(51,1),(102,1),(108,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(246,1)}
        29:{3,4,5,7}:{(15,1),(24,1),(49,1),(183,1),(294,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1)}
        31:{1,3,5,6,7}:{(16,1),(19,1),(48,1),(51,1),(52,1),(55,1),(102,1),(105,1),(108,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(53,1),(119,1),(180,1),(185,1)}
        33:{1,3,4,6}:{(17,1),(22,1),(26,1),(53,1),(54,1),(112,1),(121,1)}
        34:{2,3,6,7}:{(18,1),(20,1),(55,1),(108,1)}
        35:{1,4,6,7}:{(18,1),(19,1),(21,1),(55,1)}
        36:{1,2,5,6,7}:{(19,1),(52,1),(56,1),(57,1),(174,1),(178,1),(191,1),(257,1),(297,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(22,1),(53,1),(55,1),(58,1)}
        38:{1,2,4,5,7}:{(21,1),(23,1),(56,1),(58,1),(59,1),(106,1),(110,1),(117,1),(119,1),(178,1),(191,1),(193,1),(249,1),(255,1),(295,1)}
        39:{2,5,6}:{(22,1),(54,1),(58,1)}
        40:{1,3,5,6}:{(23,1),(59,1),(61,1),(62,1),(112,1),(127,1),(189,1),(256,1),(302,1),(313,1)}
        41:{1,3,4,5,6}:{(24,1),(46,1),(63,1),(65,1),(124,1),(127,1),(199,1),(247,1)}
        42:{2,4,5,6}:{(24,1),(49,1),(64,1),(65,1),(264,1)}
        43:{2,3,4,6}:{(25,1),(64,1),(66,1),(194,1),(203,1),(251,1),(264,1),(292,1),(313,1)}
        44:{1,3,4,5,7}:{(25,1),(26,1),(53,1),(66,1),(67,1),(105,1),(130,1),(171,1),(180,1),(193,1),(195,1),(202,1),(249,1),(265,1),(291,1)}
        45:{2,4,5}:{(26,1),(54,1),(69,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(41,1),(70,1),(75,1),(135,1),(141,1),(210,1),(213,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(137,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(272,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(42,1),(74,1),(75,1),(274,1)}
        50:{2,3,4,6,7}:{(30,1),(32,1),(34,1),(43,1),(71,1),(74,1),(76,1),(134,1),(144,1),(152,1),(212,1),(218,1),(274,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(75,1),(77,1)}
        52:{2,5,6,7}:{(31,1),(77,1),(82,1),(137,1),(140,1)}
        53:{1,3,4,7}:{(32,1),(33,1),(37,1),(79,1),(146,1),(155,1)}
        54:{2,4,6}:{(33,1),(39,1),(45,1),(79,1),(81,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(37,1),(82,1)}
        56:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(77,1),(82,1),(83,1),(84,1),(152,1),(228,1),(279,1),(308,1)}
        57:{1,3,5,6,7}:{(36,1),(78,1),(83,1),(84,1),(153,1),(211,1),(215,1),(272,1),(278,1)}
        58:{2,5,7}:{(37,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(38,1),(40,1),(83,1),(86,1),(87,1),(141,1),(146,1),(307,1)}
        60:{1,2,5,6}:{(39,1),(80,1),(85,1),(88,1),(225,1),(279,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(81,1),(86,1),(88,1),(89,1),(148,1),(150,1),(224,1),(225,1),(227,1),(279,1)}
        62:{1,3,4,6}:{(40,1),(87,1),(89,1),(90,1),(165,1),(236,1),(286,1)}
        63:{2,4,5,6}:{(41,1),(70,1),(91,1),(92,1),(161,1),(233,1),(273,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(74,1),(93,1),(221,1),(227,1),(273,1)}
        65:{1,4,5,6}:{(42,1),(75,1),(93,1),(94,1),(236,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(93,1),(95,1),(165,1),(166,1),(228,1),(236,1),(306,1)}
        67:{2,4,5,7}:{(44,1),(45,1),(79,1),(95,1),(97,1),(140,1),(207,1),(216,1),(229,1),(237,1)}
        68:{1,2,4,5}:{(45,1),(80,1),(98,1),(158,1),(170,1),(225,1)}
        69:{2,3,5}:{(45,1),(81,1),(98,1),(99,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(63,1),(100,1),(101,1),(172,1),(243,1),(246,1)}
        71:{2,3,6,7}:{(47,1),(100,1),(102,1),(108,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(101,1),(102,1)}
        73:{1,2,5,6,7}:{(48,1),(52,1),(103,1),(104,1),(114,1),(178,1),(246,1),(293,1),(297,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(64,1),(105,1),(183,1),(191,1),(246,1)}
        75:{1,4,5,7}:{(49,1),(51,1),(65,1),(105,1),(106,1),(249,1)}
        76:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(55,1),(66,1),(102,1),(105,1),(107,1),(108,1),(171,1),(180,1),(181,1),(190,1),(245,1),(249,1)}
        77:{2,4,6,7}:{(51,1),(52,1),(106,1),(108,1)}
        78:{2,3,5,6,7}:{(52,1),(57,1),(104,1),(108,1),(109,1),(115,1),(175,1),(179,1),(183,1),(191,1),(246,1),(248,1),(254,1),(297,1),(313,1)}
        79:{2,4,7}:{(53,1),(54,1),(58,1),(111,1)}
        80:{1,2,4,6}:{(54,1),(60,1),(68,1),(110,1),(112,1),(121,1),(188,1)}
        81:{2,3,6}:{(54,1),(69,1),(111,1),(112,1)}
        82:{2,6,7}:{(55,1),(58,1)}
        83:{1,3,6,7}:{(56,1),(59,1),(108,1),(115,1),(256,1),(313,1)}
        84:{1,4,6,7}:{(57,1),(109,1),(117,1),(249,1),(296,1)}
        85:{1,2,5,7}:{(58,1),(60,1),(110,1),(114,1),(118,1),(255,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(111,1),(115,1),(118,1),(119,1),(185,1),(191,1),(255,1)}
        87:{1,3,4,7}:{(59,1),(62,1),(119,1),(180,1),(249,1),(294,1)}
        88:{1,3,5,6}:{(60,1),(61,1),(112,1),(118,1),(121,1),(189,1),(256,1),(257,1)}
        89:{2,4,6}:{(61,1),(62,1),(119,1),(121,1),(122,1)}
        90:{1,3,4,5}:{(62,1),(122,1),(189,1),(202,1),(265,1),(302,1)}
        91:{2,3,5,6}:{(63,1),(100,1),(123,1),(124,1),(127,1)}
        92:{1,4,5,6}:{(63,1),(101,1),(124,1),(262,1),(293,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(66,1),(105,1),(126,1),(127,1),(257,1),(293,1)}
        94:{2,4,5,6}:{(65,1),(106,1),(126,1),(127,1),(201,1)}
        95:{2,4,6}:{(66,1),(67,1),(126,1),(129,1)}
        96:{1,2,4,5,7}:{(67,1),(68,1),(110,1),(128,1),(130,1),(178,1),(193,1),(206,1),(240,1),(249,1),(255,1),(258,1),(265,1),(266,1),(291,1),(295,1),(311,1)}
        97:{2,3,5,7}:{(67,1),(69,1),(111,1),(129,1),(130,1),(131,1),(205,1),(241,1),(259,1)}
        98:{1,3,5}:{(68,1),(69,1),(112,1),(132,1),(133,1)}
        99:{2,3,4}:{(69,1),(133,1)}
       100:{2,3,5,7}:{(70,1),(71,1),(91,1),(134,1),(135,1),(141,1)}
       101:{1,4,5,7}:{(70,1),(72,1),(92,1),(135,1),(269,1),(272,1)}
       102:{1,3,6,7}:{(71,1),(72,1),(135,1),(137,1)}
       103:{1,2,4,6,7}:{(72,1),(73,1),(77,1),(136,1),(137,1),(138,1),(139,1),(212,1),(306,1),(308,1),(314,1)}
       104:{1,3,5,6,7}:{(73,1),(78,1),(138,1),(139,1),(151,1),(213,1),(215,1),(226,1),(278,1)}
       105:{1,3,5,7}:{(74,1),(75,1),(76,1),(93,1),(140,1),(141,1),(226,1),(272,1)}
       106:{2,4,5,7}:{(75,1),(77,1),(94,1),(140,1),(141,1),(216,1)}
       107:{2,4,6,7}:{(76,1),(79,1),(82,1),(95,1),(137,1),(140,1),(143,1),(207,1),(216,1)}
       108:{3,6,7}:{(77,1),(141,1)}
       109:{2,4,6,7}:{(78,1),(84,1),(139,1),(144,1),(145,1),(216,1),(274,1),(276,1),(308,1)}
       110:{1,2,4,7}:{(79,1),(80,1),(85,1),(146,1),(155,1),(222,1)}
       111:{2,3,7}:{(79,1),(81,1),(146,1)}
       112:{1,3,6}:{(80,1),(81,1),(98,1),(146,1),(148,1)}
       113:{2,3,4,6}:{(81,1),(89,1),(99,1),(147,1),(149,1),(150,1),(224,1),(286,1)}
       114:{1,2,6,7}:{(82,1),(85,1),(151,1),(279,1)}
       115:{2,3,6,7}:{(82,1),(83,1),(86,1),(151,1),(152,1),(224,1),(279,1)}
       116:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(144,1),(152,1),(153,1),(157,1)}
       117:{1,4,5,7}:{(84,1),(145,1),(153,1),(154,1),(272,1)}
       118:{1,3,5,7}:{(85,1),(86,1),(88,1),(146,1),(151,1),(155,1),(226,1)}
       119:{2,4,7}:{(86,1),(87,1),(89,1),(155,1)}
       120:{1,3,4,5,7}:{(87,1),(90,1),(153,1),(156,1),(157,1),(217,1),(223,1),(275,1),(307,1)}
       121:{1,4,6}:{(88,1),(89,1),(155,1),(158,1)}
       122:{2,4,5}:{(89,1),(90,1),(150,1),(158,1),(225,1)}
       123:{2,3,4,6}:{(91,1),(134,1),(159,1),(160,1),(165,1),(233,1),(282,1)}
       124:{1,3,5,6}:{(91,1),(92,1),(135,1),(160,1),(161,1)}
       125:{1,2,4,5,6}:{(92,1),(94,1),(136,1),(161,1),(162,1),(163,1),(214,1),(230,1),(233,1),(236,1),(273,1),(285,1),(287,1),(306,1),(308,1),(310,1),(314,1)}
       126:{2,5,6}:{(93,1),(95,1),(140,1)}
       127:{3,5,6}:{(94,1),(141,1),(165,1)}
       128:{1,2,4,6}:{(95,1),(96,1),(163,1),(166,1),(228,1),(236,1),(238,1),(279,1),(306,1),(308,1),(314,1)}
       129:{2,3,6}:{(95,1),(97,1),(166,1)}
       130:{1,3,5,7}:{(96,1),(97,1),(98,1),(146,1),(166,1),(168,1),(169,1),(239,1),(267,1),(280,1),(307,1)}
       131:{2,3,4,7}:{(97,1),(99,1),(167,1),(169,1),(216,1),(281,1)}
       132:{2,3,5}:{(98,1),(148,1),(170,1),(225,1)}
       133:{1,3,4}:{(98,1),(99,1),(170,1)}
       134:{2,3,4,7}:{(100,1),(123,1),(171,1),(180,1),(243,1),(288,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(102,1),(124,1),(171,1),(172,1)}
       136:{1,2,4,5,7}:{(101,1),(103,1),(106,1),(125,1),(172,1),(173,1),(177,1),(178,1),(240,1),(243,1),(246,1),(249,1),(291,1),(295,1),(311,1)}
       137:{2,6,7}:{(102,1),(172,1)}
       138:{1,3,6,7}:{(103,1),(108,1),(173,1),(175,1),(312,1),(313,1)}
       139:{1,4,6,7}:{(104,1),(109,1),(177,1),(249,1),(296,1)}
       140:{2,5,7}:{(105,1),(107,1),(126,1)}
       141:{3,5,7}:{(106,1),(108,1),(127,1),(180,1)}
       142:{1,2,4,6,7}:{(107,1),(110,1),(114,1),(128,1),(174,1),(178,1),(181,1),(190,1),(240,1),(245,1),(249,1),(252,1)}
       143:{2,3,6,7}:{(107,1),(108,1),(111,1),(129,1),(179,1),(181,1),(241,1)}
       144:{3,4,6,7}:{(108,1),(109,1),(180,1),(183,1),(251,1),(294,1),(313,1)}
       145:{2,4,5,7}:{(109,1),(117,1),(177,1),(183,1),(184,1),(191,1),(246,1)}
       146:{1,3,7}:{(110,1),(111,1),(112,1),(185,1)}
       147:{2,3,4,7}:{(111,1),(113,1),(119,1),(186,1),(187,1),(294,1)}
       148:{2,3,6}:{(112,1),(132,1),(185,1),(188,1)}
       149:{1,3,4,6}:{(112,1),(113,1),(121,1),(133,1),(186,1),(188,1),(189,1),(256,1)}
       150:{2,3,5}:{(113,1),(122,1),(189,1),(302,1)}
       151:{1,3,6,7}:{(114,1),(115,1),(118,1),(190,1),(256,1)}
       152:{2,4,6,7}:{(115,1),(116,1),(119,1),(190,1),(191,1),(194,1)}
       153:{1,3,5,7}:{(116,1),(117,1),(183,1),(191,1),(192,1)}
       154:{1,4,5,6}:{(117,1),(184,1),(192,1),(293,1),(296,1)}
       155:{1,4,7}:{(118,1),(119,1),(121,1)}
       156:{2,4,5,7}:{(119,1),(120,1),(122,1),(187,1),(191,1),(193,1),(194,1),(255,1)}
       157:{1,3,4,6}:{(120,1),(192,1),(194,1),(251,1),(256,1),(296,1),(313,1)}
       158:{1,4,5}:{(121,1),(122,1),(189,1)}
       159:{2,3,4,5}:{(123,1),(195,1),(202,1),(263,1),(298,1)}
       160:{1,3,4,6}:{(123,1),(124,1),(171,1),(195,1),(196,1),(260,1),(262,1)}
       161:{2,5,6}:{(124,1),(172,1),(196,1)}
       162:{1,3,5,6}:{(125,1),(127,1),(173,1),(198,1),(199,1),(260,1),(301,1),(302,1),(312,1),(313,1)}
       163:{1,2,5,6}:{(126,1),(128,1),(178,1),(200,1),(257,1),(266,1),(293,1),(297,1)}
       164:{2,3,5,6}:{(126,1),(127,1),(129,1),(179,1),(200,1),(201,1),(205,1)}
       165:{3,4,6}:{(127,1),(180,1),(201,1),(202,1)}
       166:{1,3,6}:{(128,1),(129,1),(130,1),(203,1),(313,1)}
       167:{2,3,4,6}:{(129,1),(131,1),(201,1),(204,1),(205,1)}
       168:{2,3,5,7}:{(130,1),(132,1),(185,1),(203,1),(206,1),(255,1),(266,1),(288,1),(298,1),(311,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(133,1),(204,1),(206,1),(249,1),(294,1),(299,1)}
       170:{2,4}:{(132,1),(133,1)}
       171:{1,3,4,7}:{(134,1),(135,1),(160,1),(207,1),(267,1),(269,1)}
       172:{2,5,7}:{(135,1),(137,1),(161,1),(207,1)}
       173:{1,3,5,7}:{(136,1),(138,1),(141,1),(162,1),(209,1),(210,1),(267,1),(307,1)}
       174:{1,2,6,7}:{(137,1),(208,1),(211,1),(314,1)}
       175:{2,3,6,7}:{(137,1),(138,1),(209,1),(211,1),(212,1),(305,1),(314,1)}
       176:{1,3,4,6,7}:{(138,1),(139,1),(144,1),(210,1),(212,1),(213,1),(271,1)}
       177:{1,4,5,7}:{(139,1),(145,1),(213,1),(214,1),(226,1)}
       178:{1,2,5,7}:{(140,1),(142,1),(163,1),(215,1),(226,1),(272,1),(277,1)}
       179:{2,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(215,1),(216,1)}
       180:{3,4,7}:{(141,1),(165,1),(216,1)}
       181:{1,3,6,7}:{(142,1),(143,1),(146,1),(166,1),(215,1),(218,1),(267,1)}
       182:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(152,1),(167,1),(212,1),(216,1),(219,1),(220,1),(224,1),(268,1),(276,1),(305,1)}
       183:{3,5,7}:{(144,1),(145,1),(221,1)}
       184:{2,4,5,6}:{(145,1),(154,1),(214,1),(221,1),(227,1),(273,1),(276,1),(308,1)}
       185:{2,3,7}:{(146,1),(148,1),(222,1)}
       186:{1,3,4,7}:{(146,1),(147,1),(149,1),(155,1),(222,1),(223,1)}
       187:{2,3,5,7}:{(147,1),(150,1),(156,1),(223,1),(224,1),(307,1)}
       188:{2,4,6}:{(148,1),(149,1),(170,1),(222,1),(225,1),(279,1)}
       189:{1,3,5}:{(149,1),(150,1),(158,1),(225,1)}
       190:{1,4,6,7}:{(151,1),(152,1),(155,1),(226,1),(228,1)}
       191:{2,5,7}:{(152,1),(153,1),(226,1),(227,1)}
       192:{1,3,5,6}:{(153,1),(154,1),(157,1),(221,1),(227,1)}
       193:{1,4,5,7}:{(155,1),(156,1),(158,1),(223,1),(226,1),(228,1)}
       194:{2,4,6}:{(156,1),(157,1),(224,1),(227,1),(228,1),(279,1)}
       195:{1,3,4,5}:{(159,1),(160,1),(229,1),(280,1),(285,1)}
       196:{2,4,6}:{(160,1),(161,1),(207,1),(229,1),(231,1)}
       197:{1,2,5,6}:{(161,1),(208,1),(230,1),(232,1),(310,1),(314,1)}
       198:{2,3,5,6}:{(161,1),(162,1),(209,1),(231,1),(232,1),(233,1),(273,1),(282,1),(284,1),(305,1),(310,1),(314,1)}
       199:{1,3,4,6}:{(162,1),(165,1),(210,1),(233,1),(234,1),(236,1),(286,1)}
       200:{1,3,5,6}:{(163,1),(164,1),(166,1),(215,1),(235,1),(236,1),(239,1)}
       201:{2,4,6}:{(164,1),(165,1),(216,1),(236,1),(237,1)}
       202:{3,4,5}:{(165,1),(237,1)}
       203:{2,3,6}:{(166,1),(168,1),(238,1),(279,1),(314,1)}
       204:{1,3,4,6}:{(166,1),(167,1),(169,1),(236,1),(238,1),(239,1),(286,1)}
       205:{2,3,5}:{(167,1),(237,1),(239,1)}
       206:{2,4,7}:{(168,1),(169,1),(170,1),(238,1),(309,1)}
       207:{2,4,7}:{(171,1),(172,1),(196,1),(241,1)}
       208:{1,2,5,7}:{(172,1),(174,1),(197,1),(240,1),(242,1),(311,1)}
       209:{2,3,5,7}:{(172,1),(173,1),(175,1),(198,1),(241,1),(242,1),(243,1),(246,1),(288,1),(311,1)}
       210:{1,3,4,7}:{(173,1),(180,1),(199,1),(243,1),(249,1),(294,1)}
       211:{1,3,6,7}:{(174,1),(175,1),(242,1),(245,1),(312,1)}
       212:{2,4,6,7}:{(175,1),(176,1),(243,1),(245,1),(246,1),(292,1)}
       213:{1,3,5,7}:{(176,1),(177,1),(183,1),(246,1),(247,1)}
       214:{1,4,5,6}:{(177,1),(184,1),(247,1),(257,1),(296,1)}
       215:{1,3,5,7}:{(178,1),(179,1),(181,1),(200,1),(248,1),(249,1)}
       216:{2,4,7}:{(179,1),(180,1),(201,1),(249,1)}
       217:{3,4,5,7}:{(180,1),(183,1),(202,1),(250,1),(251,1)}
       218:{2,3,6,7}:{(181,1),(185,1),(203,1),(248,1),(252,1),(288,1),(313,1)}
       219:{1,3,4,6,7}:{(181,1),(182,1),(186,1),(190,1),(204,1),(245,1),(249,1),(252,1),(253,1),(256,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       220:{2,3,5,7}:{(182,1),(183,1),(191,1),(205,1),(246,1),(250,1),(253,1),(254,1)}
       221:{3,5,6}:{(183,1),(184,1),(251,1),(313,1)}
       222:{2,4,7}:{(185,1),(186,1),(188,1),(255,1)}
       223:{1,3,5,7}:{(186,1),(187,1),(189,1),(193,1),(255,1),(256,1)}
       224:{2,3,6}:{(187,1),(194,1),(256,1),(313,1)}
       225:{2,5}:{(188,1),(189,1)}
       226:{1,5,7}:{(190,1),(191,1),(257,1)}
       227:{2,5,6}:{(191,1),(192,1),(194,1),(257,1)}
       228:{1,4,6}:{(193,1),(194,1),(256,1),(257,1)}
       229:{2,4,5}:{(195,1),(196,1),(259,1)}
       230:{1,2,4,6}:{(196,1),(197,1),(240,1),(258,1),(260,1),(262,1),(300,1)}
       231:{2,3,6}:{(196,1),(241,1),(259,1),(260,1)}
       232:{1,3,5,6}:{(197,1),(198,1),(242,1),(260,1),(262,1),(293,1),(301,1),(312,1)}
       233:{2,4,6}:{(198,1),(199,1),(243,1),(262,1),(263,1)}
       234:{1,3,4,5}:{(199,1),(202,1),(263,1),(265,1),(301,1),(302,1)}
       235:{2,3,5,6}:{(200,1),(203,1),(248,1),(264,1),(266,1),(297,1),(302,1),(313,1)}
       236:{1,4,6}:{(200,1),(201,1),(249,1),(264,1),(265,1)}
       237:{2,4,5}:{(201,1),(202,1),(205,1),(265,1)}
       238:{2,4,6}:{(203,1),(204,1),(206,1),(266,1)}
       239:{1,3,5}:{(204,1),(205,1),(265,1),(266,1),(302,1)}
       240:{1,2,4,7}:{(207,1),(208,1),(230,1),(267,1),(269,1),(303,1)}
       241:{2,3,7}:{(207,1),(231,1),(267,1)}
       242:{1,3,5,7}:{(208,1),(209,1),(211,1),(232,1),(267,1),(269,1),(272,1)}
       243:{2,4,7}:{(209,1),(210,1),(233,1),(269,1)}
       244:{1,3,4,5,7}:{(210,1),(213,1),(217,1),(234,1),(270,1),(271,1),(275,1),(304,1),(307,1)}
       245:{1,4,6,7}:{(211,1),(212,1),(269,1),(272,1),(306,1)}
       246:{2,5,7}:{(212,1),(213,1),(272,1),(273,1)}
       247:{1,3,5,6}:{(213,1),(214,1),(221,1),(271,1),(273,1)}
       248:{2,3,5,7}:{(215,1),(218,1),(235,1),(274,1),(277,1),(307,1)}
       249:{1,4,7}:{(215,1),(216,1),(236,1),(274,1)}
       250:{2,4,5,7}:{(216,1),(217,1),(220,1),(237,1),(275,1),(276,1)}
       251:{3,4,6}:{(217,1),(221,1),(276,1)}
       252:{2,4,6,7}:{(218,1),(219,1),(222,1),(238,1),(274,1),(277,1),(279,1),(303,1),(308,1),(314,1)}
       253:{1,3,5,7}:{(219,1),(220,1),(226,1),(239,1),(272,1),(275,1),(277,1),(278,1),(307,1)}
       254:{2,3,5,6}:{(220,1),(221,1),(224,1),(227,1),(273,1),(276,1),(278,1),(305,1)}
       255:{2,5,7}:{(222,1),(223,1),(225,1),(279,1)}
       256:{1,3,6}:{(223,1),(224,1),(228,1),(279,1)}
       257:{1,5,6}:{(226,1),(227,1),(228,1)}
       258:{1,2,4,5}:{(229,1),(230,1),(280,1),(285,1),(309,1),(310,1)}
       259:{2,3,5}:{(229,1),(231,1),(280,1),(281,1)}
       260:{1,3,6}:{(230,1),(231,1),(267,1),(280,1),(282,1)}
       261:{2,3,4,6}:{(231,1),(233,1),(268,1),(281,1),(283,1),(284,1),(286,1),(305,1)}
       262:{1,4,6}:{(232,1),(233,1),(269,1),(285,1)}
       263:{2,4,5}:{(233,1),(234,1),(284,1),(285,1),(310,1)}
       264:{2,4,6}:{(235,1),(236,1),(274,1),(286,1),(287,1)}
       265:{1,4,5}:{(236,1),(237,1),(239,1),(287,1)}
       266:{2,5}:{(238,1),(239,1)}
       267:{1,3,7}:{(240,1),(241,1),(260,1),(288,1)}
       268:{2,3,4,7}:{(241,1),(243,1),(261,1),(289,1),(290,1),(294,1)}
       269:{1,4,7}:{(242,1),(243,1),(262,1)}
       270:{2,4,5,7}:{(243,1),(244,1),(246,1),(263,1),(290,1),(291,1),(292,1),(311,1)}
       271:{1,3,4,6}:{(244,1),(247,1),(251,1),(292,1),(296,1),(312,1),(313,1)}
       272:{1,5,7}:{(245,1),(246,1),(293,1)}
       273:{2,5,6}:{(246,1),(247,1),(292,1),(293,1)}
       274:{2,4,7}:{(248,1),(249,1),(264,1),(294,1)}
       275:{1,4,5,7}:{(249,1),(250,1),(253,1),(265,1),(295,1),(296,1)}
       276:{2,4,6}:{(250,1),(251,1),(254,1),(296,1)}
       277:{2,5,7}:{(252,1),(253,1),(266,1),(297,1)}
       278:{1,3,5,6}:{(253,1),(254,1),(256,1),(257,1),(293,1),(296,1),(297,1),(312,1),(313,1)}
       279:{2,6}:{(255,1),(256,1)}
       280:{1,3,5}:{(258,1),(259,1),(260,1),(298,1),(299,1)}
       281:{2,3,4}:{(259,1),(299,1)}
       282:{2,3,6}:{(260,1),(288,1),(298,1),(300,1)}
       283:{1,3,4,6}:{(260,1),(261,1),(262,1),(289,1),(299,1),(300,1),(301,1),(312,1)}
       284:{2,3,5}:{(261,1),(263,1),(301,1),(302,1)}
       285:{1,4,5}:{(262,1),(263,1),(301,1)}
       286:{3,4,6}:{(264,1),(294,1),(302,1),(313,1)}
       287:{2,4,5}:{(264,1),(265,1),(266,1),(302,1)}
       288:{2,3,7}:{(267,1),(282,1),(303,1)}
       289:{1,3,4,7}:{(267,1),(268,1),(269,1),(283,1),(303,1),(304,1)}
       290:{2,3,5,7}:{(268,1),(270,1),(284,1),(304,1),(305,1),(307,1)}
       291:{1,4,5,7}:{(269,1),(270,1),(272,1),(285,1),(304,1),(306,1)}
       292:{2,4,6}:{(270,1),(271,1),(273,1),(305,1),(306,1),(314,1)}
       293:{1,5,6}:{(272,1),(273,1),(306,1)}
       294:{3,4,7}:{(274,1),(286,1),(307,1)}
       295:{2,4,5,7}:{(274,1),(275,1),(277,1),(287,1),(307,1),(308,1)}
       296:{1,4,6}:{(275,1),(276,1),(278,1),(308,1)}
       297:{2,5,6}:{(277,1),(278,1),(279,1),(308,1),(314,1)}
       298:{2,3,5}:{(280,1),(282,1),(309,1),(310,1)}
       299:{1,3,4}:{(280,1),(281,1),(309,1)}
       300:{2,4,6}:{(282,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       301:{1,3,5}:{(283,1),(284,1),(285,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,4,7}:{(288,1),(289,1),(300,1),(311,1)}
       304:{1,3,5,7}:{(289,1),(290,1),(291,1),(301,1),(311,1),(312,1)}
       305:{2,3,6}:{(290,1),(292,1),(312,1),(313,1)}
       306:{1,4,6}:{(291,1),(292,1),(293,1),(312,1)}
       307:{3,5,7}:{(294,1),(295,1),(302,1),(313,1)}
       308:{2,4,6}:{(295,1),(296,1),(297,1),(313,1)}
       309:{2,4}:{(298,1),(299,1)}
       310:{2,5}:{(300,1),(301,1)}
       311:{2,5,7}:{(303,1),(304,1),(310,1),(314,1)}
       312:{1,3,6}:{(304,1),(305,1),(306,1),(314,1)}
       313:{3,6}:{(307,1),(308,1)}
       314:{2,6}:{(311,1),(312,1)}

1996 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

1997 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(28,1),(31,1),(40,1),(42,1),(87,1),(94,1),(95,1),(151,1),(175,1),(217,1),(222,1),(228,1),(270,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(75,1),(145,1),(217,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(45,1),(48,1),(53,1),(60,1),(71,1),(116,1),(179,1),(184,1),(185,1),(197,1),(198,1),(242,1),(245,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(188,1),(245,1),(248,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(55,1),(59,1),(64,1),(66,1),(124,1),(199,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(245,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(110,1),(183,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(73,1),(80,1),(87,1),(92,1),(144,1),(153,1),(154,1),(167,1),(213,1),(217,1),(228,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(27,1),(28,1),(29,1),(31,1),(76,1),(80,1),(87,1),(94,1),(147,1),(153,1),(161,1),(217,1),(228,1)}
        12:{1,3,4,6}:{(3,1),(29,1),(30,1),(37,1),(88,1),(100,1),(163,1),(164,1),(211,1),(230,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(270,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(87,1),(94,1),(158,1),(227,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(230,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(90,1),(94,1),(162,1),(222,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(145,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,4,6,7}:{(12,1),(44,1),(45,1),(47,1),(108,1),(113,1),(184,1),(185,1),(245,1)}
        24:{1,3,5,6,7}:{(17,1),(45,1),(46,1),(47,1),(113,1),(176,1)}
        25:{1,3,5,7}:{(10,1),(48,1),(49,1),(50,1),(116,1),(129,1),(202,1),(242,1),(245,1),(254,1)}
        26:{1,2,4,6}:{(10,1),(50,1),(51,1),(55,1),(115,1),(120,1),(124,1),(199,1),(240,1),(306,1)}
        27:{2,3,5,7}:{(11,1),(52,1),(53,1),(54,1),(71,1),(123,1),(139,1),(242,1),(245,1),(254,1),(283,1)}
        28:{1,4,5,7}:{(11,1),(53,1),(55,1),(58,1),(110,1),(114,1),(131,1),(184,1),(190,1),(197,1)}
        29:{2,4,6}:{(11,1),(12,1),(54,1),(55,1),(56,1),(124,1)}
        30:{1,3,5,6}:{(12,1),(45,1),(56,1),(57,1),(60,1),(116,1),(128,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(124,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(248,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(183,1),(208,1),(245,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(26,1),(72,1),(73,1),(75,1),(140,1),(144,1),(145,1),(217,1)}
        44:{2,4,6,7}:{(23,1),(29,1),(74,1),(75,1),(76,1),(145,1),(147,1),(217,1)}
        45:{1,3,5,7}:{(23,1),(30,1),(76,1),(77,1),(149,1)}
        46:{2,5,6,7}:{(24,1),(36,1),(76,1),(78,1),(79,1),(210,1)}
        47:{1,4,6,7}:{(24,1),(37,1),(77,1),(79,1),(211,1),(220,1)}
        48:{1,3,4,7}:{(25,1),(80,1),(81,1),(144,1),(216,1),(233,1),(275,1)}
        49:{2,3,5,7}:{(25,1),(80,1),(82,1),(83,1),(87,1),(153,1),(158,1),(227,1)}
        50:{1,3,6}:{(25,1),(26,1),(83,1),(230,1),(264,1)}
        51:{1,2,5,6}:{(26,1),(73,1),(84,1),(90,1),(153,1),(162,1),(167,1),(210,1),(302,1)}
        52:{2,3,4,7}:{(27,1),(31,1),(80,1),(85,1),(86,1),(103,1),(147,1),(158,1),(174,1),(216,1),(267,1),(268,1),(275,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(85,1),(87,1),(88,1),(160,1),(175,1),(297,1)}
        54:{2,3,6}:{(27,1),(29,1),(88,1),(100,1),(172,1),(230,1),(264,1),(296,1)}
        55:{1,4,6}:{(28,1),(29,1),(88,1),(90,1)}
        56:{2,5,6}:{(29,1),(30,1),(76,1),(90,1),(94,1),(153,1)}
        57:{1,4,5,6}:{(30,1),(37,1),(77,1),(91,1),(95,1),(154,1),(163,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(87,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(162,1),(169,1),(172,1),(227,1),(230,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(270,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(145,1),(172,1),(220,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(50,1),(106,1),(107,1),(245,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(51,1),(107,1),(110,1),(178,1),(183,1),(307,1)}
        74:{2,3,6,7}:{(44,1),(54,1),(108,1),(109,1),(113,1),(187,1),(245,1)}
        75:{1,4,6,7}:{(44,1),(55,1),(108,1),(110,1),(184,1)}
        76:{2,5,7}:{(44,1),(45,1),(56,1),(110,1)}
        77:{1,4,5,7}:{(45,1),(47,1),(57,1),(111,1),(184,1),(247,1)}
        78:{1,5,6,7}:{(46,1),(65,1),(110,1),(112,1),(239,1)}
        79:{2,4,6,7}:{(46,1),(47,1),(66,1),(111,1),(112,1),(113,1),(187,1),(240,1)}
        80:{2,4,7}:{(48,1),(49,1),(114,1),(115,1),(253,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(115,1),(116,1),(120,1),(194,1)}
        82:{1,3,5,7}:{(49,1),(114,1),(117,1),(118,1),(188,1),(190,1),(248,1)}
        83:{2,3,6}:{(49,1),(50,1),(115,1),(118,1),(124,1)}
        84:{1,3,5,6}:{(50,1),(51,1),(107,1),(116,1),(119,1),(120,1),(202,1),(289,1),(290,1),(306,1)}
        85:{1,3,4,7}:{(52,1),(53,1),(58,1),(114,1),(121,1),(122,1),(129,1),(184,1),(188,1),(209,1),(245,1),(285,1),(286,1)}
        86:{2,3,4,6}:{(52,1),(54,1),(59,1),(115,1),(122,1),(123,1),(126,1),(135,1),(194,1),(195,1),(206,1),(252,1),(253,1),(256,1),(291,1)}
        87:{2,5,7}:{(53,1),(121,1),(124,1),(196,1)}
        88:{1,3,6}:{(53,1),(54,1),(55,1),(124,1),(207,1),(306,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(109,1),(123,1),(125,1),(126,1),(128,1),(201,1),(256,1)}
        90:{1,5,6}:{(55,1),(56,1),(110,1),(131,1),(190,1)}
        91:{2,4,5,6}:{(56,1),(57,1),(66,1),(111,1),(126,1),(127,1),(128,1),(132,1),(191,1),(199,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(121,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(124,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(183,1),(247,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(245,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(81,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(83,1),(140,1),(142,1),(143,1),(145,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(84,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,3,6,7}:{(74,1),(75,1),(88,1),(145,1),(146,1),(220,1)}
       109:{2,3,5,7}:{(74,1),(76,1),(89,1),(146,1),(147,1),(149,1),(219,1),(268,1)}
       110:{1,5,7}:{(75,1),(76,1),(90,1)}
       111:{2,4,5,7}:{(76,1),(77,1),(79,1),(91,1),(147,1),(148,1),(149,1),(217,1),(219,1)}
       112:{1,4,6,7}:{(78,1),(79,1),(99,1),(148,1),(150,1),(263,1)}
       113:{3,6,7}:{(79,1),(100,1),(149,1),(264,1)}
       114:{1,4,7}:{(80,1),(82,1),(152,1),(270,1)}
       115:{2,4,6}:{(80,1),(81,1),(83,1),(152,1),(153,1)}
       116:{1,3,5}:{(81,1),(153,1),(154,1),(224,1)}
       117:{1,2,5,7}:{(82,1),(87,1),(151,1),(155,1),(175,1),(222,1)}
       118:{1,3,6}:{(82,1),(83,1),(152,1),(155,1)}
       119:{2,3,5,6}:{(83,1),(84,1),(143,1),(153,1),(156,1),(157,1),(162,1),(210,1),(224,1),(227,1),(230,1),(264,1),(272,1),(273,1),(296,1)}
       120:{1,4,6}:{(84,1),(144,1),(154,1),(157,1),(233,1)}
       121:{2,4,7}:{(85,1),(87,1),(158,1),(159,1),(299,1)}
       122:{1,3,4,6}:{(85,1),(86,1),(88,1),(93,1),(152,1),(159,1),(160,1),(163,1),(166,1),(221,1),(230,1),(233,1),(237,1),(270,1),(274,1),(275,1),(278,1),(303,1)}
       123:{2,3,5}:{(86,1),(94,1),(153,1),(160,1),(161,1),(169,1),(224,1),(235,1),(272,1)}
       124:{2,6}:{(87,1),(88,1)}
       125:{1,3,5,6}:{(88,1),(89,1),(90,1),(146,1),(160,1),(162,1),(163,1),(230,1),(232,1),(278,1)}
       126:{2,4,6}:{(89,1),(147,1),(161,1),(163,1),(164,1)}
       127:{1,4,5,6}:{(90,1),(91,1),(99,1),(148,1),(163,1),(165,1),(168,1),(223,1),(263,1)}
       128:{3,5,6}:{(91,1),(100,1),(149,1),(164,1),(169,1),(224,1),(230,1),(264,1)}
       129:{1,3,7}:{(92,1),(158,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(159,1),(166,1),(167,1),(233,1),(274,1),(302,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(162,1),(167,1),(170,1),(172,1),(232,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(230,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(217,1),(269,1),(299,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(115,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(116,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(118,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(119,1),(178,1),(181,1),(182,1),(183,1),(242,1),(245,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(120,1),(182,1)}
       145:{2,6,7}:{(108,1),(124,1),(183,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(125,1),(183,1),(184,1),(245,1),(247,1),(286,1)}
       147:{2,4,7}:{(109,1),(126,1),(184,1),(185,1)}
       148:{1,4,5,7}:{(110,1),(111,1),(112,1),(127,1),(184,1),(186,1)}
       149:{3,5,7}:{(111,1),(113,1),(128,1),(185,1),(245,1)}
       150:{1,3,6,7}:{(112,1),(113,1),(136,1),(186,1),(187,1),(282,1)}
       151:{1,2,4,7}:{(114,1),(117,1),(121,1),(188,1),(189,1),(209,1),(262,1)}
       152:{1,4,6}:{(114,1),(115,1),(118,1),(190,1)}
       153:{2,5}:{(115,1),(116,1),(190,1)}
       154:{1,4,5}:{(116,1),(120,1),(191,1),(289,1)}
       155:{1,2,6}:{(117,1),(118,1),(124,1),(207,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(181,1),(190,1),(192,1),(193,1),(239,1),(248,1),(250,1),(251,1),(282,1)}
       157:{2,4,6}:{(119,1),(120,1),(182,1),(191,1),(193,1),(194,1),(253,1)}
       158:{2,3,7}:{(121,1),(129,1),(188,1),(195,1),(245,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(195,1),(196,1),(253,1),(293,1),(310,1)}
       160:{1,3,5}:{(122,1),(123,1),(131,1),(190,1),(196,1),(197,1),(254,1),(260,1),(289,1)}
       161:{2,4,5}:{(123,1),(126,1),(197,1),(198,1),(253,1)}
       162:{2,5,6}:{(124,1),(125,1),(183,1),(196,1),(199,1),(293,1)}
       163:{1,4,6}:{(125,1),(126,1),(184,1),(197,1),(199,1)}
       164:{3,4,6}:{(126,1),(128,1),(185,1),(198,1)}
       165:{1,3,5,6}:{(127,1),(128,1),(136,1),(186,1),(200,1),(201,1),(204,1),(250,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(195,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(196,1),(202,1),(289,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(199,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(245,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(152,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(153,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(154,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(145,1),(155,1),(214,1),(220,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(156,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(157,1),(215,1),(216,1)}
       183:{2,5,7}:{(145,1),(146,1),(162,1),(217,1),(299,1)}
       184:{1,4,7}:{(146,1),(147,1),(163,1),(217,1)}
       185:{3,4,7}:{(147,1),(149,1),(164,1)}
       186:{1,3,5,7}:{(148,1),(149,1),(150,1),(165,1),(218,1),(219,1)}
       187:{2,6,7}:{(150,1),(172,1),(219,1),(220,1),(296,1)}
       188:{1,3,7}:{(151,1),(158,1),(221,1)}
       189:{1,2,4,6}:{(151,1),(152,1),(155,1),(159,1),(221,1),(222,1),(237,1),(270,1),(281,1),(305,1)}
       190:{1,5}:{(152,1),(153,1)}
       191:{2,4,5}:{(153,1),(154,1),(157,1),(223,1),(224,1),(272,1)}
       192:{1,2,5,6}:{(155,1),(156,1),(162,1),(214,1),(222,1),(225,1),(232,1),(272,1),(296,1)}
       193:{1,4,6}:{(156,1),(157,1),(215,1),(223,1),(270,1)}
       194:{3,4,6}:{(157,1),(216,1),(224,1),(230,1),(264,1),(275,1)}
       195:{2,3,6}:{(158,1),(159,1),(166,1),(221,1),(227,1),(230,1),(313,1)}
       196:{2,5}:{(159,1),(160,1)}
       197:{1,4,5}:{(160,1),(161,1),(163,1),(228,1),(233,1),(270,1)}
       198:{3,4,5}:{(161,1),(164,1),(169,1),(224,1),(275,1)}
       199:{2,4,6}:{(162,1),(163,1),(217,1),(228,1),(230,1)}
       200:{1,3,4,6}:{(163,1),(164,1),(165,1),(218,1),(229,1),(230,1),(231,1),(278,1)}
       201:{2,5,6}:{(165,1),(172,1),(219,1),(231,1),(232,1),(235,1),(272,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(227,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(228,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(230,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(299,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(190,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(191,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(183,1),(192,1),(243,1),(247,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(193,1)}
       216:{3,4,7}:{(182,1),(194,1),(242,1),(245,1)}
       217:{2,4,7}:{(183,1),(184,1),(199,1),(245,1)}
       218:{1,3,4,7}:{(184,1),(185,1),(186,1),(200,1),(245,1),(246,1),(286,1)}
       219:{2,5,7}:{(186,1),(187,1),(201,1),(246,1),(247,1)}
       220:{1,6,7}:{(187,1),(207,1),(247,1),(306,1)}
       221:{1,3,6}:{(188,1),(189,1),(195,1),(248,1),(311,1)}
       222:{1,2,5}:{(189,1),(190,1),(196,1),(248,1),(260,1)}
       223:{1,4,5}:{(190,1),(191,1),(193,1),(250,1)}
       224:{3,5}:{(191,1),(194,1)}
       225:{1,2,4,6}:{(192,1),(193,1),(199,1),(243,1),(249,1),(251,1),(252,1),(257,1),(293,1)}
       226:{1,3,4,6}:{(193,1),(194,1),(244,1),(250,1),(251,1),(252,1),(282,1),(287,1)}
       227:{2,3,5}:{(195,1),(196,1),(202,1),(248,1),(253,1),(254,1)}
       228:{2,4,5}:{(196,1),(197,1),(199,1),(253,1),(254,1)}
       229:{1,3,4,5}:{(197,1),(198,1),(200,1),(204,1),(250,1),(254,1),(255,1),(258,1),(287,1),(292,1)}
       230:{3,6}:{(199,1),(245,1),(254,1)}
       231:{2,4,6}:{(200,1),(201,1),(246,1),(255,1),(256,1),(257,1),(293,1)}
       232:{1,5,6}:{(201,1),(207,1),(247,1),(257,1),(260,1),(289,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(224,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(217,1),(225,1),(266,1),(267,1),(269,1),(299,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(226,1),(265,1),(266,1),(267,1)}
       245:{3,7}:{(217,1),(230,1)}
       246:{2,4,7}:{(218,1),(219,1),(231,1),(268,1),(269,1),(299,1)}
       247:{1,5,7}:{(219,1),(220,1),(232,1),(269,1)}
       248:{1,3,5}:{(221,1),(222,1),(227,1),(270,1)}
       249:{1,2,4,5}:{(222,1),(223,1),(225,1),(228,1),(270,1),(271,1),(272,1),(277,1),(300,1),(304,1),(305,1)}
       250:{1,3,5}:{(223,1),(224,1),(226,1),(272,1)}
       251:{1,3,6}:{(225,1),(230,1),(266,1),(271,1),(273,1)}
       252:{2,4,6}:{(226,1),(267,1),(272,1),(273,1),(274,1),(296,1),(300,1)}
       253:{2,4}:{(227,1),(233,1),(270,1),(275,1)}
       254:{3,5}:{(228,1),(230,1),(275,1)}
       255:{2,4,5}:{(229,1),(231,1),(235,1),(272,1),(276,1),(277,1),(279,1),(300,1),(304,1)}
       256:{2,3,6}:{(230,1),(231,1),(268,1),(276,1),(278,1)}
       257:{1,4,6}:{(231,1),(232,1),(269,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(299,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(250,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(245,1),(251,1),(284,1)}
       267:{2,4,7}:{(244,1),(252,1),(283,1),(284,1),(285,1)}
       268:{2,3,7}:{(245,1),(246,1),(256,1),(286,1)}
       269:{1,4,7}:{(246,1),(247,1),(257,1),(286,1)}
       270:{1,4}:{(248,1),(253,1)}
       271:{1,3,5}:{(249,1),(251,1),(254,1),(287,1),(288,1),(311,1)}
       272:{2,5}:{(250,1),(252,1),(289,1)}
       273:{2,3,6}:{(251,1),(252,1),(284,1),(288,1),(290,1),(293,1)}
       274:{1,4,6}:{(252,1),(285,1),(289,1),(290,1),(306,1),(308,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(289,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(286,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(272,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(273,1),(298,1),(299,1)}
       285:{1,4,7}:{(267,1),(274,1),(297,1),(298,1)}
       286:{1,3,7}:{(268,1),(269,1),(278,1),(299,1)}
       287:{1,3,4}:{(270,1),(271,1),(275,1),(300,1)}
       288:{2,3,5}:{(271,1),(272,1),(273,1),(300,1),(301,1),(304,1),(313,1)}
       289:{1,5}:{(272,1),(274,1)}
       290:{1,3,6}:{(273,1),(274,1),(298,1),(301,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(300,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(299,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(289,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(290,1),(307,1)}
       299:{2,7}:{(286,1),(293,1)}
       300:{2,4}:{(287,1),(288,1),(308,1)}
       301:{1,3,5}:{(288,1),(289,1),(290,1),(308,1),(309,1),(314,1)}
       302:{1,2,6}:{(290,1),(293,1),(307,1),(309,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(299,1),(302,1)}
       308:{1,4}:{(300,1),(301,1)}
       309:{1,2,5}:{(301,1),(302,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

1998 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(67,1),(147,1),(237,1),(256,1),(258,1),(366,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(314,1),(415,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(103,1),(414,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(146,1),(256,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(147,1),(280,1),(351,1),(367,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(459,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(258,1),(365,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(104,1),(206,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(314,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(201,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(99,1),(118,1),(120,1),(185,1),(203,1),(317,1),(322,1),(414,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(365,1),(372,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(263,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(254,1),(281,1),(367,1),(390,1),(392,1),(459,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(256,1),(375,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(258,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(143,1),(168,1),(169,1),(242,1),(260,1),(371,1),(376,1),(459,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(414,1),(422,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(204,1),(224,1),(231,1),(321,1),(339,1),(342,1),(423,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(185,1),(206,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(312,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(314,1),(425,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(195,1),(301,1),(407,1)}
        40:{1,2,3,5,6}:{(24,1),(63,1),(64,1),(72,1),(84,1),(139,1),(160,1),(162,1),(241,1),(248,1),(250,1),(271,1)}
        41:{1,3,4,5,6}:{(27,1),(65,1),(66,1),(79,1),(136,1),(246,1),(266,1),(268,1),(360,1),(375,1)}
        42:{2,3,4,5}:{(25,1),(68,1),(70,1),(151,1),(238,1),(372,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(456,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(459,1),(466,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(261,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(242,1),(263,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(365,1),(459,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(452,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(252,1),(357,1),(371,1),(476,1)}
        63:{1,2,3,5,7}:{(40,1),(96,1),(97,1),(125,1),(190,1),(192,1),(215,1),(300,1),(329,1)}
        64:{1,2,4,6}:{(40,1),(44,1),(95,1),(97,1),(98,1),(297,1),(328,1)}
        65:{2,4,5,6}:{(41,1),(47,1),(94,1),(99,1),(100,1),(118,1),(185,1),(297,1),(402,1)}
        66:{1,3,4,5,7}:{(41,1),(49,1),(100,1),(101,1),(121,1),(186,1),(305,1),(325,1),(326,1),(410,1),(425,1)}
        67:{1,2,3,5}:{(93,1),(103,1),(182,1),(199,1)}
        68:{1,3,4,5}:{(42,1),(45,1),(105,1),(107,1),(111,1),(199,1),(288,1)}
        69:{2,3,4,5,7}:{(42,1),(46,1),(106,1),(108,1),(109,1),(129,1),(205,1),(212,1),(228,1),(296,1),(319,1),(404,1),(421,1),(423,1),(479,1),(501,1)}
        70:{2,3,4,6}:{(42,1),(47,1),(94,1),(107,1),(109,1),(206,1),(297,1),(422,1)}
        71:{1,3,4}:{(44,1),(104,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(491,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(105,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(540,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(185,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(319,1),(423,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(301,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(415,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(67,1),(133,1),(134,1),(256,1)}
        94:{2,3,5,6}:{(65,1),(70,1),(136,1),(137,1),(375,1)}
        95:{1,3,4,6}:{(64,1),(71,1),(135,1),(138,1),(139,1),(160,1),(248,1)}
        96:{1,2,3,6,7}:{(63,1),(72,1),(140,1),(173,1),(248,1),(272,1),(356,1),(443,1)}
        97:{1,2,4,7}:{(63,1),(64,1),(138,1),(353,1),(382,1)}
        98:{1,2,4,5}:{(64,1),(139,1),(162,1),(238,1),(270,1)}
        99:{1,4,5,6}:{(65,1),(76,1),(136,1),(143,1),(165,1),(344,1),(438,1)}
       100:{2,4,5,7}:{(65,1),(66,1),(78,1),(137,1),(143,1),(144,1),(168,1),(242,1),(353,1),(449,1)}
       101:{1,3,4,6,7}:{(66,1),(144,1),(145,1),(243,1),(358,1),(359,1),(452,1)}
       102:{1,2,3,5,7}:{(67,1),(133,1),(147,1),(148,1),(236,1),(255,1),(258,1),(280,1),(379,1),(389,1)}
       103:{1,2,4}:{(67,1),(146,1)}
       104:{2,3,4}:{(71,1),(146,1),(151,1)}
       105:{2,4,5}:{(68,1),(151,1),(153,1)}
       106:{1,3,4,5,7}:{(68,1),(69,1),(75,1),(152,1),(154,1),(155,1),(159,1),(255,1),(267,1),(270,1),(285,1),(343,1),(365,1),(372,1),(382,1),(459,1),(464,1),(466,1),(510,1),(526,1)}
       107:{1,3,4,6}:{(68,1),(70,1),(76,1),(136,1),(153,1),(155,1),(160,1),(256,1),(344,1)}
       108:{2,3,4,6}:{(69,1),(77,1),(154,1),(156,1),(177,1),(262,1),(286,1),(352,1),(373,1),(450,1),(511,1)}
       109:{2,3,4,7}:{(70,1),(78,1),(137,1),(155,1),(263,1),(353,1),(466,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(150,1),(158,1),(159,1),(382,1),(518,1)}
       111:{1,3,5}:{(71,1),(74,1),(151,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(456,1),(522,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(152,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(519,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(153,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(242,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(372,1),(466,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(357,1),(374,1),(388,1),(391,1),(452,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(459,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(314,1)}
       134:{1,2,4,6}:{(93,1),(103,1),(179,1),(181,1),(182,1),(294,1)}
       135:{2,3,4,6}:{(95,1),(104,1),(179,1),(183,1),(184,1),(206,1),(297,1),(299,1)}
       136:{1,3,5,6}:{(94,1),(99,1),(107,1),(185,1),(186,1)}
       137:{2,3,5,7}:{(94,1),(100,1),(109,1),(186,1),(187,1),(425,1)}
       138:{1,3,4,7}:{(95,1),(97,1),(183,1),(190,1),(215,1)}
       139:{1,3,5}:{(95,1),(98,1),(184,1)}
       140:{1,2,4,6,7}:{(96,1),(97,1),(113,1),(189,1),(192,1),(193,1),(403,1),(482,1),(534,1)}
       141:{1,2,4,5,7}:{(97,1),(98,1),(190,1),(192,1),(193,1),(296,1),(306,1)}
       142:{1,2,4,5,6}:{(98,1),(99,1),(115,1),(185,1),(191,1),(193,1),(194,1),(218,1),(297,1),(322,1),(328,1),(402,1),(409,1)}
       143:{1,4,5,7}:{(99,1),(100,1),(117,1),(186,1),(195,1),(221,1),(394,1),(478,1)}
       144:{2,4,6,7}:{(100,1),(101,1),(187,1),(195,1),(196,1),(301,1)}
       145:{1,3,5,6,7}:{(101,1),(121,1),(196,1),(197,1),(311,1),(410,1)}
       146:{1,3,4}:{(103,1),(104,1),(199,1)}
       147:{1,2,3,6}:{(102,1),(201,1),(294,1),(313,1),(436,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(198,1),(201,1),(428,1)}
       149:{1,2,4,5}:{(103,1),(105,1),(182,1),(199,1),(203,1),(288,1)}
       150:{2,3,4,7}:{(104,1),(110,1),(198,1),(204,1),(205,1),(423,1),(498,1)}
       151:{2,3,5}:{(104,1),(105,1),(111,1),(199,1),(206,1)}
       152:{2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(319,1),(323,1),(423,1),(499,1),(542,1)}
       153:{2,4,6}:{(105,1),(107,1),(185,1),(206,1),(208,1)}
       154:{1,3,4,6}:{(106,1),(108,1),(116,1),(207,1),(209,1),(214,1),(313,1),(328,1),(341,1),(393,1),(414,1),(422,1),(532,1)}
       155:{1,3,4,7}:{(107,1),(109,1),(117,1),(186,1),(208,1),(215,1),(314,1),(394,1)}
       156:{2,3,5,6}:{(108,1),(118,1),(209,1),(211,1),(212,1),(222,1),(335,1),(402,1),(486,1),(530,1)}
       157:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(187,1),(210,1),(212,1),(231,1),(303,1),(321,1),(342,1),(403,1),(423,1),(488,1),(489,1),(501,1),(533,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(204,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(205,1),(213,1),(214,1),(215,1),(537,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(206,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(491,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(207,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(208,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(301,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(423,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(146,1),(232,1),(233,1),(256,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(147,1),(234,1),(235,1),(367,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{2,3,4,7}:{(135,1),(138,1),(232,1),(240,1),(263,1),(353,1)}
       184:{2,3,5}:{(135,1),(139,1),(233,1),(238,1)}
       185:{2,5,6}:{(136,1),(153,1),(242,1)}
       186:{1,3,5,7}:{(136,1),(137,1),(143,1),(155,1),(242,1),(243,1)}
       187:{2,3,6,7}:{(137,1),(144,1),(243,1),(452,1)}
       188:{1,3,4,5}:{(139,1),(238,1),(246,1),(270,1),(372,1)}
       189:{1,3,4,6,7}:{(138,1),(140,1),(158,1),(239,1),(247,1),(248,1),(272,1),(362,1),(382,1),(444,1),(514,1),(546,1)}
       190:{1,3,5,7}:{(138,1),(139,1),(141,1),(240,1),(248,1)}
       191:{1,3,5,6}:{(139,1),(142,1),(160,1),(241,1),(246,1),(248,1),(249,1),(375,1)}
       192:{1,2,5,7}:{(140,1),(162,1),(247,1),(250,1),(449,1)}
       193:{1,2,4,6}:{(141,1),(248,1),(250,1),(352,1),(362,1)}
       194:{1,2,4,5,7}:{(142,1),(143,1),(164,1),(242,1),(249,1),(251,1),(276,1),(353,1),(376,1),(382,1),(449,1),(454,1)}
       195:{1,4,6,7}:{(143,1),(144,1),(243,1),(252,1)}
       196:{2,5,6,7}:{(144,1),(145,1),(168,1),(252,1),(449,1)}
       197:{1,4,5,6,7}:{(145,1),(169,1),(253,1),(358,1),(454,1),(455,1)}
       198:{1,3,4,7}:{(146,1),(148,1),(150,1),(254,1),(255,1),(459,1),(470,1)}
       199:{1,3,5}:{(146,1),(149,1),(151,1),(256,1)}
       200:{1,2,3,5,6}:{(147,1),(234,1),(257,1),(258,1),(350,1),(366,1),(369,1),(379,1),(446,1),(462,1),(474,1),(528,1)}
       201:{1,2,4,6}:{(147,1),(148,1),(254,1),(258,1)}
       202:{1,2,4,5,7}:{(148,1),(149,1),(152,1),(236,1),(255,1),(258,1),(259,1),(260,1),(285,1),(343,1),(365,1),(371,1),(389,1),(459,1),(471,1),(529,1)}
       203:{1,2,4,6}:{(149,1),(153,1),(237,1),(256,1),(260,1),(344,1)}
       204:{2,3,4,6}:{(150,1),(158,1),(254,1),(261,1),(262,1),(373,1)}
       205:{2,3,5,7}:{(150,1),(151,1),(152,1),(159,1),(255,1),(261,1),(262,1),(263,1),(524,1),(550,1)}
       206:{2,3,6}:{(151,1),(153,1),(160,1),(256,1),(263,1)}
       207:{2,4,6}:{(152,1),(154,1),(262,1),(264,1)}
       208:{2,4,7}:{(153,1),(155,1),(242,1),(263,1)}
       209:{1,3,5,6}:{(154,1),(156,1),(165,1),(264,1),(266,1),(267,1),(375,1),(387,1),(438,1),(544,1)}
       210:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(166,1),(243,1),(265,1),(267,1),(272,1),(358,1),(367,1),(382,1),(392,1),(439,1),(452,1),(459,1),(466,1),(517,1),(526,1),(546,1)}
       211:{2,4,5,6}:{(156,1),(266,1),(268,1),(269,1),(373,1)}
       212:{2,3,5,7}:{(156,1),(157,1),(168,1),(267,1),(269,1),(279,1),(388,1),(449,1),(516,1),(545,1)}
       213:{1,3,5}:{(158,1),(162,1),(261,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(262,1)}
       215:{1,3,7}:{(160,1),(164,1),(263,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(518,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(264,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(265,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(357,1),(388,1),(455,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(452,1),(466,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(183,1),(290,1),(314,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(184,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(200,1),(292,1),(293,1),(399,1),(415,1),(497,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(201,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(185,1),(203,1),(291,1),(294,1),(295,1)}
       238:{2,4,5}:{(184,1),(188,1),(288,1),(297,1)}
       239:{2,3,4,6,7}:{(183,1),(189,1),(204,1),(289,1),(298,1),(299,1),(321,1),(398,1),(403,1),(405,1),(423,1),(484,1),(488,1),(533,1)}
       240:{2,3,5,7}:{(183,1),(184,1),(190,1),(290,1),(296,1),(299,1)}
       241:{2,3,5,6}:{(184,1),(185,1),(191,1),(206,1),(291,1),(297,1),(299,1),(300,1),(402,1)}
       242:{2,5,7}:{(185,1),(186,1),(208,1),(301,1)}
       243:{1,3,6,7}:{(186,1),(187,1),(195,1),(301,1)}
       244:{2,3,5,6,7}:{(187,1),(196,1),(212,1),(302,1),(303,1),(311,1),(412,1),(489,1)}
       245:{1,3,4,5,7}:{(188,1),(190,1),(296,1),(304,1),(305,1),(306,1),(404,1),(410,1)}
       246:{1,3,4,6}:{(188,1),(191,1),(297,1),(305,1),(328,1),(422,1)}
       247:{1,3,5,7}:{(189,1),(192,1),(213,1),(298,1),(306,1),(307,1),(551,1)}
       248:{1,3,6}:{(190,1),(193,1),(299,1)}
       249:{1,3,5,7}:{(191,1),(194,1),(215,1),(300,1),(305,1),(308,1),(425,1)}
       250:{1,2,5,6}:{(192,1),(193,1),(307,1),(402,1),(534,1)}
       251:{1,2,4,6,7}:{(193,1),(194,1),(195,1),(301,1),(308,1),(309,1),(403,1),(407,1),(411,1)}
       252:{1,5,6,7}:{(195,1),(196,1),(221,1),(478,1)}
       253:{2,4,5,6,7}:{(196,1),(197,1),(223,1),(303,1),(310,1),(311,1),(407,1),(412,1),(487,1)}
       254:{1,3,4,6}:{(198,1),(201,1),(204,1),(312,1),(313,1),(414,1)}
       255:{1,3,5,7}:{(198,1),(199,1),(202,1),(205,1),(312,1),(313,1),(314,1),(504,1),(543,1)}
       256:{1,3,6}:{(199,1),(203,1),(206,1),(314,1)}
       257:{1,2,4,6}:{(200,1),(292,1),(315,1),(316,1),(414,1),(428,1),(493,1)}
       258:{1,2,5}:{(201,1),(312,1)}
       259:{1,2,4,6}:{(202,1),(207,1),(294,1),(313,1),(317,1),(341,1),(393,1),(414,1),(436,1)}
       260:{1,2,4,7}:{(203,1),(208,1),(295,1),(314,1),(394,1)}
       261:{2,3,5}:{(204,1),(213,1),(312,1),(319,1)}
       262:{2,3,6}:{(205,1),(207,1),(214,1),(313,1)}
       263:{2,3,7}:{(206,1),(208,1),(215,1),(314,1)}
       264:{2,5,6}:{(207,1),(209,1),(323,1)}
       265:{2,4,6,7}:{(207,1),(208,1),(210,1),(301,1),(321,1),(323,1),(423,1),(536,1),(542,1)}
       266:{1,4,5,6}:{(209,1),(211,1),(322,1),(325,1),(328,1),(414,1)}
       267:{1,3,5,7}:{(209,1),(210,1),(212,1),(221,1),(323,1),(325,1),(425,1),(435,1),(478,1),(551,1)}
       268:{3,4,5,6}:{(211,1),(222,1),(326,1),(422,1),(486,1)}
       269:{2,4,5,7}:{(211,1),(212,1),(303,1),(325,1),(326,1),(423,1)}
       270:{1,4,5}:{(213,1),(319,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(320,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(321,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(322,1),(328,1),(333,1),(334,1),(335,1),(426,1),(430,1),(502,1),(538,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(323,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(407,1),(490,1),(536,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(238,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(239,1),(254,1),(345,1),(346,1),(348,1),(367,1),(439,1),(441,1),(446,1),(459,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(240,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(241,1),(256,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(257,1),(348,1),(459,1),(521,1)}
       293:{1,2,5,7}:{(235,1),(258,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(242,1),(260,1),(347,1),(351,1)}
       296:{2,4,5,7}:{(238,1),(240,1),(245,1),(343,1),(352,1),(353,1),(449,1)}
       297:{2,4,6}:{(238,1),(241,1),(246,1),(344,1),(353,1)}
       298:{2,3,5,7}:{(239,1),(247,1),(261,1),(345,1),(354,1),(355,1),(449,1),(516,1),(545,1)}
       299:{2,3,6}:{(240,1),(248,1),(346,1),(352,1)}
       300:{2,3,5,7}:{(241,1),(242,1),(249,1),(263,1),(347,1),(353,1),(356,1),(449,1)}
       301:{2,6,7}:{(242,1),(243,1)}
       302:{1,3,5,6,7}:{(243,1),(244,1),(252,1),(267,1),(357,1),(358,1),(452,1),(455,1),(517,1)}
       303:{2,4,6,7}:{(244,1),(269,1),(358,1),(359,1)}
       304:{1,3,4,6}:{(245,1),(248,1),(352,1),(360,1),(362,1),(450,1)}
       305:{1,3,4,7}:{(246,1),(249,1),(353,1),(382,1),(466,1)}
       306:{1,4,5,7}:{(247,1),(270,1),(354,1),(362,1),(382,1)}
       307:{1,3,5,6}:{(247,1),(248,1),(250,1),(355,1),(362,1),(514,1),(544,1)}
       308:{1,3,6,7}:{(248,1),(249,1),(251,1),(356,1),(452,1)}
       309:{1,2,5,6,7}:{(250,1),(251,1),(252,1),(276,1),(357,1),(363,1),(449,1),(547,1)}
       310:{1,4,5,6,7}:{(252,1),(253,1),(278,1),(358,1),(364,1),(509,1)}
       311:{3,5,6,7}:{(253,1),(279,1),(359,1),(452,1),(516,1)}
       312:{1,3,5}:{(254,1),(258,1),(261,1),(365,1)}
       313:{1,3,6}:{(255,1),(259,1),(262,1)}
       314:{1,3,7}:{(256,1),(260,1),(263,1)}
       315:{1,3,4,6}:{(257,1),(348,1),(368,1),(369,1),(446,1),(470,1),(528,1)}
       316:{1,2,4,5}:{(257,1),(258,1),(365,1),(369,1),(457,1)}
       317:{1,2,5,6}:{(258,1),(259,1),(264,1),(366,1),(371,1),(387,1),(438,1)}
       318:{1,2,4,6,7}:{(259,1),(260,1),(265,1),(351,1),(367,1),(371,1),(392,1),(439,1),(459,1),(476,1),(529,1)}
       319:{2,4,5}:{(261,1),(270,1),(365,1),(372,1),(373,1)}
       320:{2,3,5,6}:{(261,1),(262,1),(264,1),(271,1),(366,1),(373,1),(374,1),(375,1)}
       321:{2,3,6,7}:{(262,1),(263,1),(265,1),(272,1),(367,1),(374,1),(452,1),(550,1)}
       322:{2,4,5,6}:{(264,1),(266,1),(373,1),(375,1),(376,1)}
       323:{2,5,7}:{(264,1),(265,1),(267,1)}
       324:{1,3,4,5,6}:{(266,1),(268,1),(277,1),(375,1),(377,1),(378,1),(381,1),(458,1),(467,1),(508,1)}
       325:{1,4,5,7}:{(266,1),(267,1),(269,1),(358,1),(376,1),(382,1),(459,1)}
       326:{3,4,5,7}:{(268,1),(269,1),(279,1),(359,1),(466,1),(516,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(372,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(373,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(374,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(375,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(376,1),(382,1),(386,1),(388,1),(469,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(452,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(296,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(297,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(298,1),(312,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(299,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(300,1),(314,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(315,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(316,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(301,1),(397,1)}
       352:{2,4,6}:{(296,1),(299,1),(304,1),(393,1),(402,1)}
       353:{2,4,7}:{(297,1),(300,1),(305,1),(394,1)}
       354:{2,4,5,7}:{(298,1),(306,1),(319,1),(395,1),(404,1),(405,1),(423,1)}
       355:{2,3,5,6}:{(298,1),(299,1),(307,1),(396,1),(402,1),(405,1),(484,1),(486,1),(530,1)}
       356:{2,3,6,7}:{(299,1),(300,1),(301,1),(308,1),(397,1),(403,1)}
       357:{2,5,6,7}:{(301,1),(302,1),(323,1),(407,1),(536,1)}
       358:{1,4,6,7}:{(302,1),(303,1),(325,1),(407,1)}
       359:{3,4,6,7}:{(303,1),(311,1),(326,1)}
       360:{1,3,5,6}:{(304,1),(402,1),(409,1),(410,1),(486,1)}
       361:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(403,1),(410,1),(411,1),(488,1)}
       362:{1,4,6}:{(306,1),(307,1),(405,1)}
       363:{1,3,5,6,7}:{(307,1),(308,1),(309,1),(329,1),(406,1),(410,1),(411,1),(535,1),(551,1)}
       364:{1,3,5,6,7}:{(310,1),(311,1),(336,1),(408,1),(412,1),(531,1)}
       365:{1,4,5}:{(312,1),(319,1),(414,1)}
       366:{1,3,5,6}:{(312,1),(313,1),(317,1),(320,1),(414,1),(415,1)}
       367:{1,3,6,7}:{(313,1),(314,1),(318,1),(321,1),(415,1),(543,1)}
       368:{2,3,4,6}:{(315,1),(398,1),(417,1),(418,1),(484,1),(493,1),(498,1),(541,1)}
       369:{1,3,5}:{(315,1),(316,1),(418,1)}
       370:{1,2,4,5,6}:{(316,1),(317,1),(322,1),(400,1),(414,1),(419,1),(420,1),(426,1),(477,1),(493,1),(502,1),(505,1),(530,1)}
       371:{1,2,5,7}:{(317,1),(318,1),(323,1),(415,1),(435,1),(478,1)}
       372:{3,4,5}:{(319,1),(422,1)}
       373:{2,4,6}:{(319,1),(320,1),(328,1),(414,1),(422,1),(423,1)}
       374:{2,3,5,7}:{(320,1),(321,1),(323,1),(329,1),(415,1),(423,1),(425,1)}
       375:{3,5,6}:{(322,1),(422,1),(425,1)}
       376:{2,4,5,7}:{(322,1),(323,1),(325,1),(407,1),(423,1),(425,1)}
       377:{2,4,5,6}:{(324,1),(335,1),(424,1),(426,1),(427,1),(430,1),(493,1),(502,1),(530,1)}
       378:{1,3,4,5,7}:{(324,1),(325,1),(326,1),(336,1),(408,1),(425,1),(427,1),(431,1),(494,1),(503,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(422,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(423,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(425,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(536,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(352,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(353,1)}
       395:{1,4,5,7}:{(345,1),(354,1),(365,1),(441,1),(459,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(355,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(356,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(368,1),(444,1),(445,1),(521,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(369,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(357,1),(371,1),(442,1),(447,1),(455,1),(545,1)}
       402:{2,5,6}:{(352,1),(360,1),(438,1),(449,1)}
       403:{2,4,6,7}:{(352,1),(353,1),(356,1),(361,1),(439,1),(449,1)}
       404:{3,4,5,7}:{(354,1),(372,1),(450,1),(466,1),(516,1)}
       405:{2,4,6}:{(354,1),(355,1),(362,1),(441,1),(450,1)}
       406:{2,3,5,6,7}:{(355,1),(356,1),(357,1),(363,1),(374,1),(442,1),(449,1),(451,1),(452,1),(515,1),(516,1),(545,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(376,1),(452,1)}
       408:{1,3,4,6,7}:{(358,1),(359,1),(364,1),(378,1),(452,1),(453,1),(517,1)}
       409:{1,4,5,6}:{(360,1),(362,1),(448,1),(454,1),(544,1)}
       410:{1,3,5,7}:{(360,1),(361,1),(449,1),(454,1),(516,1)}
       411:{1,4,6,7}:{(362,1),(363,1),(382,1),(451,1),(454,1)}
       412:{2,5,6,7}:{(364,1),(388,1),(453,1),(455,1),(545,1)}
       413:{1,3,4,5}:{(365,1),(369,1),(372,1),(457,1),(458,1)}
       414:{1,4,6}:{(365,1),(366,1),(373,1),(459,1)}
       415:{1,3,5,7}:{(366,1),(367,1),(371,1),(374,1),(459,1)}
       416:{1,2,3,6}:{(443,1),(456,1),(460,1),(548,1)}
       417:{1,3,4,6}:{(368,1),(444,1),(460,1),(461,1),(514,1),(518,1),(520,1),(548,1)}
       418:{2,3,5}:{(368,1),(369,1),(457,1),(461,1)}
       419:{1,3,5,6}:{(369,1),(370,1),(375,1),(446,1),(458,1),(462,1),(463,1),(528,1)}
       420:{1,2,4,5,7}:{(370,1),(371,1),(376,1),(447,1),(459,1),(463,1),(469,1),(509,1),(521,1),(527,1),(529,1),(545,1)}
       421:{2,3,4,5}:{(372,1),(380,1),(457,1),(464,1),(465,1),(524,1)}
       422:{3,4,6}:{(372,1),(373,1),(375,1),(466,1)}
       423:{2,4,7}:{(373,1),(374,1),(382,1),(459,1),(466,1)}
       424:{2,3,5,6}:{(375,1),(377,1),(465,1),(467,1),(468,1)}
       425:{3,5,7}:{(375,1),(376,1),(452,1),(466,1)}
       426:{1,4,5,6}:{(377,1),(387,1),(467,1),(469,1),(472,1),(520,1),(544,1)}
       427:{2,4,5,7}:{(377,1),(378,1),(388,1),(453,1),(468,1),(469,1),(473,1),(521,1),(527,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(466,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(402,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(403,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(404,1),(413,1),(479,1),(480,1),(494,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(405,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(406,1),(415,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(416,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(417,1),(482,1),(483,1),(539,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(418,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(407,1),(420,1),(481,1),(485,1),(490,1),(533,1),(536,1)}
       448:{2,4,5,6}:{(402,1),(405,1),(409,1),(477,1),(486,1),(487,1),(530,1)}
       449:{2,5,7}:{(402,1),(403,1),(410,1),(478,1)}
       450:{3,4,6}:{(404,1),(405,1),(486,1)}
       451:{2,4,6,7}:{(405,1),(406,1),(411,1),(423,1),(481,1),(487,1),(488,1)}
       452:{3,6,7}:{(407,1),(425,1)}
       453:{2,4,6,7}:{(408,1),(412,1),(427,1),(489,1),(490,1),(536,1)}
       454:{1,4,5,7}:{(409,1),(410,1),(411,1),(487,1),(551,1)}
       455:{1,5,6,7}:{(412,1),(435,1),(490,1),(551,1)}
       456:{1,2,3,5}:{(416,1),(491,1),(495,1),(537,1)}
       457:{2,4,5}:{(413,1),(418,1),(492,1),(493,1)}
       458:{1,3,4,6}:{(413,1),(414,1),(419,1),(422,1),(493,1),(494,1)}
       459:{1,4,7}:{(414,1),(415,1),(423,1)}
       460:{1,2,4,6}:{(416,1),(417,1),(482,1),(491,1),(495,1),(534,1)}
       461:{1,3,5}:{(417,1),(418,1),(492,1),(495,1)}
       462:{2,3,5,6}:{(418,1),(419,1),(484,1),(493,1),(496,1),(497,1),(502,1),(530,1),(541,1)}
       463:{1,3,5,7}:{(419,1),(420,1),(425,1),(485,1),(494,1),(497,1),(543,1)}
       464:{1,3,4,5}:{(421,1),(429,1),(492,1),(499,1),(500,1),(504,1),(537,1)}
       465:{2,3,4,6}:{(421,1),(422,1),(424,1),(430,1),(493,1),(500,1),(501,1),(541,1)}
       466:{3,4,7}:{(422,1),(423,1),(425,1)}
       467:{1,3,5,6}:{(424,1),(426,1),(500,1),(502,1),(503,1)}
       468:{2,3,5,7}:{(424,1),(425,1),(427,1),(489,1),(501,1),(503,1)}
       469:{1,4,5,7}:{(426,1),(427,1),(435,1),(490,1),(503,1),(506,1),(539,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(536,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(448,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(449,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(457,1),(510,1),(511,1),(521,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(450,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(460,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(461,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(452,1),(463,1),(515,1)}
       486:{3,5,6}:{(448,1),(450,1),(516,1)}
       487:{2,4,5,7}:{(448,1),(449,1),(451,1),(454,1),(509,1),(516,1),(545,1)}
       488:{3,4,6,7}:{(450,1),(451,1),(452,1),(466,1),(516,1)}
       489:{2,3,6,7}:{(452,1),(453,1),(468,1),(517,1)}
       490:{1,4,6,7}:{(453,1),(455,1),(469,1),(517,1)}
       491:{1,2,4}:{(456,1),(518,1)}
       492:{1,4,5}:{(457,1),(461,1),(520,1)}
       493:{2,4,6}:{(457,1),(458,1),(462,1),(520,1),(521,1)}
       494:{1,3,4,7}:{(458,1),(459,1),(463,1),(466,1),(521,1)}
       495:{1,2,5}:{(460,1),(461,1)}
       496:{1,3,5,6}:{(461,1),(462,1),(514,1),(520,1),(522,1),(523,1),(544,1),(548,1)}
       497:{2,3,5,7}:{(462,1),(463,1),(515,1),(521,1),(523,1),(527,1),(545,1),(550,1)}
       498:{2,3,4}:{(470,1),(518,1),(524,1)}
       499:{2,4,5}:{(464,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(464,1),(465,1),(467,1),(472,1),(520,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(465,1),(466,1),(468,1),(473,1),(521,1),(526,1),(550,1)}
       502:{2,5,6}:{(467,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(467,1),(468,1),(469,1),(517,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(486,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(487,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(492,1),(532,1),(539,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(488,1),(494,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(495,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(497,1),(533,1),(535,1),(536,1)}
       516:{3,5,7}:{(486,1),(487,1),(488,1)}
       517:{1,3,6,7}:{(489,1),(490,1),(503,1),(536,1)}
       518:{1,3,4}:{(491,1),(498,1),(537,1)}
       519:{1,2,4,5}:{(491,1),(492,1),(495,1),(499,1),(537,1),(538,1)}
       520:{1,4,6}:{(492,1),(493,1),(496,1),(539,1)}
       521:{2,4,7}:{(493,1),(494,1),(497,1),(539,1)}
       522:{1,2,5,6}:{(495,1),(496,1),(502,1),(534,1),(538,1),(540,1)}
       523:{1,3,5,7}:{(496,1),(497,1),(535,1),(539,1),(540,1),(551,1),(552,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(537,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(539,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(536,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(516,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(521,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(523,1),(546,1),(547,1)}
       536:{2,6,7}:{(517,1),(527,1)}
       537:{1,3,5}:{(518,1),(519,1),(524,1),(548,1)}
       538:{1,2,4,6}:{(519,1),(520,1),(522,1),(525,1),(548,1),(549,1)}
       539:{1,4,7}:{(520,1),(521,1),(523,1)}
       540:{1,2,5,7}:{(522,1),(523,1),(527,1),(547,1),(549,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(539,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(536,1),(540,1)}
       548:{1,3,6}:{(537,1),(538,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(538,1),(539,1),(540,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

1999 :   0:{1,2,3,6,7}:{(2,1),(3,1),(43,1),(98,1),(251,1),(334,1),(354,1),(364,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(16,1),(43,1),(47,1),(232,1),(252,1),(261,1),(354,1),(363,1),(444,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(130,1),(201,1),(303,1),(403,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(26,1),(71,1),(283,1),(315,1),(410,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(65,1),(306,1),(411,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(14,1),(38,1),(43,1),(155,1),(249,1),(257,1),(364,1),(365,1),(451,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(171,1),(444,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(14,1),(95,1),(451,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(41,1),(444,1),(452,1)}
         9:{1,3,4,6}:{(4,1),(14,1),(16,1),(17,1),(43,1),(261,1),(262,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(27,1),(57,1),(68,1),(115,1),(122,1),(130,1),(199,1),(205,1),(321,1),(322,1),(417,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(310,1),(413,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(25,1),(129,1),(303,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(26,1),(27,1),(315,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(60,1),(65,1),(109,1),(129,1),(188,1),(208,1),(311,1),(318,1),(411,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(65,1),(68,1),(218,1),(219,1)}
        18:{1,2,3,6,7}:{(32,1),(33,1),(101,1),(153,1),(180,1),(248,1),(274,1),(490,1)}
        19:{1,3,4,6,7}:{(10,1),(32,1),(34,1),(45,1),(80,1),(82,1),(99,1),(153,1),(173,1),(274,1),(275,1),(375,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1),(163,1),(171,1),(255,1),(373,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(35,1),(38,1),(43,1),(249,1),(256,1)}
        22:{1,4,5,7}:{(11,1),(36,1),(38,1),(451,1),(452,1)}
        23:{1,3,4,5}:{(16,1),(40,1),(41,1),(452,1),(456,1)}
        24:{1,2,5,6,7}:{(12,1),(37,1),(42,1),(171,1),(238,1),(338,1),(353,1),(362,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(38,1),(43,1),(93,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(16,1),(43,1),(44,1)}
        27:{2,3,4,7}:{(14,1),(17,1),(44,1),(45,1),(95,1),(270,1)}
        28:{1,2,4,5,7}:{(15,1),(42,1),(46,1),(90,1),(95,1),(147,1),(171,1),(236,1),(260,1),(362,1),(368,1),(451,1)}
        29:{1,3,5,6}:{(15,1),(16,1),(40,1),(43,1),(46,1),(47,1),(261,1),(369,1)}
        30:{2,3,5}:{(16,1),(17,1),(41,1),(48,1)}
        31:{1,3,4,6}:{(17,1),(45,1),(48,1),(49,1),(96,1),(99,1),(177,1),(178,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(52,1),(53,1),(70,1),(113,1),(137,1),(205,1),(228,1)}
        33:{1,2,3,5,7}:{(18,1),(51,1),(52,1),(53,1),(114,1),(298,1),(325,1),(480,1),(521,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(52,1),(54,1),(55,1),(220,1),(328,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(54,1),(57,1),(68,1),(121,1),(129,1),(199,1),(204,1)}
        36:{2,4,5,7}:{(20,1),(22,1),(55,1),(57,1),(58,1),(417,1),(418,1)}
        37:{1,3,5,6,7}:{(21,1),(24,1),(56,1),(61,1),(67,1),(128,1),(302,1),(310,1),(410,1)}
        38:{1,4,6}:{(21,1),(22,1),(57,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(26,1),(58,1),(62,1),(63,1),(64,1),(128,1)}
        40:{1,3,4,6}:{(23,1),(29,1),(64,1),(65,1),(411,1),(416,1)}
        41:{2,4,5}:{(23,1),(30,1),(65,1),(66,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(61,1),(67,1),(130,1),(190,1),(287,1),(386,1)}
        43:{1,3,6}:{(25,1),(26,1),(68,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(63,1),(68,1),(69,1)}
        45:{1,3,4,7}:{(27,1),(31,1),(69,1),(70,1),(133,1),(225,1)}
        46:{1,3,5,7}:{(28,1),(29,1),(64,1),(67,1),(71,1),(315,1),(415,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(65,1),(68,1),(71,1),(72,1),(129,1),(188,1),(218,1)}
        48:{1,3,5}:{(30,1),(31,1),(66,1),(73,1)}
        49:{1,2,4,6}:{(31,1),(70,1),(73,1),(74,1),(137,1),(141,1)}
        50:{1,3,4,5,6}:{(40,1),(75,1),(76,1),(91,1),(144,1),(162,1),(241,1),(264,1),(369,1),(433,1)}
        51:{1,2,3,5,6}:{(33,1),(77,1),(78,1),(150,1),(153,1),(180,1),(245,1),(273,1),(279,1),(446,1),(497,1),(499,1)}
        52:{1,2,5,7}:{(32,1),(34,1),(78,1),(255,1),(279,1)}
        53:{1,2,4,7}:{(33,1),(77,1),(80,1),(347,1),(375,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(78,1),(82,1),(99,1),(153,1),(172,1)}
        55:{1,4,5,7}:{(34,1),(36,1),(82,1),(375,1),(376,1)}
        56:{2,3,5,6,7}:{(35,1),(37,1),(81,1),(85,1),(98,1),(163,1),(171,1),(248,1),(255,1),(338,1),(370,1),(428,1)}
        57:{2,4,6}:{(35,1),(36,1),(38,1),(82,1),(86,1)}
        58:{3,4,5,7}:{(36,1),(86,1),(163,1),(455,1),(456,1)}
        59:{2,3,4,5}:{(41,1),(88,1),(89,1),(170,1),(341,1),(456,1)}
        60:{1,4,5,6}:{(38,1),(84,1),(90,1),(91,1),(256,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(85,1),(90,1),(451,1)}
        62:{1,3,4,6}:{(38,1),(39,1),(43,1),(86,1),(91,1),(93,1)}
        63:{2,4,5,7}:{(39,1),(41,1),(44,1),(93,1),(94,1),(95,1),(171,1)}
        64:{1,3,4,7}:{(40,1),(46,1),(95,1),(451,1),(455,1)}
        65:{2,4,6}:{(40,1),(41,1),(47,1),(95,1),(96,1)}
        66:{1,4,5}:{(41,1),(48,1),(96,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(46,1),(98,1),(428,1)}
        68:{2,3,6}:{(43,1),(44,1),(93,1),(99,1)}
        69:{1,3,5,7}:{(44,1),(45,1),(48,1),(94,1),(99,1),(100,1)}
        70:{1,2,4,7}:{(45,1),(49,1),(100,1),(101,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(95,1),(98,1),(102,1),(171,1),(236,1),(270,1)}
        72:{1,3,5,6}:{(47,1),(48,1),(96,1),(99,1),(102,1),(103,1),(172,1),(177,1)}
        73:{1,2,5}:{(48,1),(49,1)}
        74:{1,2,3,6}:{(49,1),(101,1),(104,1),(177,1)}
        75:{1,3,4,5,7}:{(50,1),(64,1),(107,1),(108,1),(128,1),(187,1),(210,1),(292,1),(317,1),(391,1),(415,1)}
        76:{2,4,5,6}:{(50,1),(65,1),(105,1),(108,1),(109,1),(129,1),(188,1),(289,1),(467,1)}
        77:{1,2,4,6}:{(51,1),(53,1),(110,1),(111,1),(296,1),(326,1),(520,1)}
        78:{1,2,5,6}:{(52,1),(54,1),(113,1),(137,1),(204,1)}
        79:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(110,1),(113,1),(114,1),(119,1)}
        80:{1,3,4,7}:{(53,1),(111,1),(114,1),(115,1),(521,1)}
        81:{1,3,5,6,7}:{(54,1),(56,1),(112,1),(117,1),(136,1),(198,1),(203,1),(220,1),(325,1)}
        82:{1,4,6}:{(54,1),(55,1),(57,1)}
        83:{1,3,4,5,7}:{(55,1),(58,1),(114,1),(118,1),(119,1),(193,1),(203,1),(295,1)}
        84:{2,4,5,6}:{(57,1),(60,1),(116,1),(120,1),(121,1),(129,1),(204,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(61,1),(117,1),(120,1),(122,1),(417,1)}
        86:{3,4,6}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,5,7}:{(58,1),(59,1),(63,1),(119,1),(123,1),(124,1),(125,1),(212,1),(216,1),(294,1),(389,1),(393,1),(417,1),(418,1),(488,1),(529,1)}
        88:{2,3,4,6}:{(59,1),(65,1),(105,1),(125,1),(126,1),(218,1),(289,1),(416,1)}
        89:{1,3,4,5}:{(59,1),(66,1),(126,1),(127,1),(135,1),(209,1),(385,1)}
        90:{1,4,5,7}:{(60,1),(61,1),(120,1),(128,1),(310,1)}
        91:{1,3,5,6}:{(60,1),(62,1),(121,1),(128,1),(129,1)}
        92:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(122,1),(128,1),(130,1)}
        93:{2,4,6}:{(62,1),(63,1),(68,1),(129,1),(131,1)}
        94:{1,4,5,7}:{(63,1),(66,1),(69,1),(131,1),(133,1),(220,1)}
        95:{2,4,7}:{(64,1),(65,1),(71,1),(133,1)}
        96:{1,4,6}:{(65,1),(66,1),(72,1),(133,1)}
        97:{1,2,4,5}:{(66,1),(73,1),(127,1),(134,1),(135,1),(141,1)}
        98:{2,3,6,7}:{(67,1),(68,1),(71,1),(130,1),(136,1),(287,1)}
        99:{1,3,6}:{(68,1),(69,1),(131,1),(137,1)}
       100:{1,2,5,7}:{(69,1),(70,1),(73,1),(137,1)}
       101:{1,2,3,7}:{(70,1),(74,1),(225,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(133,1),(136,1),(139,1),(220,1),(225,1)}
       103:{1,2,5,6}:{(72,1),(73,1),(134,1),(137,1),(139,1),(188,1)}
       104:{1,2,3,5}:{(73,1),(74,1),(135,1),(141,1)}
       105:{2,3,5,6}:{(76,1),(88,1),(143,1),(144,1),(369,1)}
       106:{1,4,5,6,7}:{(90,1),(142,1),(145,1),(333,1),(337,1),(432,1)}
       107:{1,3,4,6,7}:{(75,1),(145,1),(146,1),(233,1),(235,1),(337,1),(428,1)}
       108:{2,4,5,7}:{(75,1),(76,1),(95,1),(143,1),(146,1),(147,1),(171,1),(236,1),(340,1),(430,1)}
       109:{1,4,5,6}:{(76,1),(96,1),(144,1),(147,1),(172,1),(336,1),(494,1)}
       110:{1,2,4,5}:{(77,1),(150,1),(243,1),(279,1),(376,1)}
       111:{1,3,4,6}:{(77,1),(80,1),(150,1),(151,1),(153,1),(499,1),(500,1)}
       112:{1,2,5,6,7}:{(78,1),(81,1),(152,1),(179,1),(255,1),(272,1),(333,1),(338,1)}
       113:{1,2,4,6}:{(78,1),(79,1),(82,1),(153,1),(159,1)}
       114:{1,3,5,7}:{(79,1),(80,1),(150,1),(153,1),(154,1)}
       115:{2,3,4,7}:{(80,1),(151,1),(154,1),(155,1),(347,1),(501,1)}
       116:{1,4,5,6}:{(82,1),(84,1),(156,1),(157,1),(172,1)}
       117:{1,4,6,7}:{(81,1),(82,1),(85,1),(156,1),(375,1)}
       118:{1,3,4,6}:{(82,1),(83,1),(86,1),(153,1),(157,1),(159,1)}
       119:{2,4,5,7}:{(83,1),(154,1),(159,1),(160,1),(243,1),(255,1),(347,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(90,1),(156,1),(163,1),(171,1),(255,1)}
       121:{3,5,6}:{(84,1),(86,1),(163,1)}
       122:{3,4,6,7}:{(85,1),(86,1),(163,1),(428,1),(455,1)}
       123:{2,3,4,6}:{(86,1),(87,1),(93,1),(159,1),(164,1),(166,1),(268,1),(371,1),(431,1),(513,1),(541,1)}
       124:{1,3,4,5,7}:{(87,1),(89,1),(94,1),(160,1),(166,1),(167,1),(168,1),(175,1),(259,1),(265,1),(346,1),(375,1),(376,1),(427,1),(435,1),(451,1),(452,1),(455,1),(456,1),(540,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(143,1),(168,1),(270,1),(340,1),(455,1)}
       126:{1,3,4,6}:{(88,1),(89,1),(96,1),(144,1),(168,1),(169,1),(177,1),(261,1),(336,1)}
       127:{2,4,5}:{(89,1),(169,1),(170,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(92,1),(163,1),(171,1)}
       129:{2,5,6}:{(91,1),(93,1),(171,1),(172,1)}
       130:{2,4,6,7}:{(92,1),(93,1),(95,1),(98,1),(171,1),(173,1)}
       131:{1,4,6}:{(93,1),(94,1),(99,1),(172,1)}
       132:{1,2,4,5,7}:{(94,1),(97,1),(100,1),(167,1),(174,1),(175,1),(176,1),(181,1),(272,1),(279,1),(375,1),(376,1),(434,1),(498,1),(540,1),(550,1)}
       133:{1,4,7}:{(95,1),(96,1),(102,1)}
       134:{1,2,4,6}:{(96,1),(97,1),(103,1),(169,1),(176,1),(177,1)}
       135:{1,3,5}:{(97,1),(170,1),(177,1),(178,1)}
       136:{1,3,6,7}:{(98,1),(99,1),(102,1),(173,1),(179,1)}
       137:{1,2,6}:{(99,1),(100,1)}
       138:{1,2,3,5,7}:{(100,1),(101,1),(104,1),(175,1),(180,1),(181,1),(279,1),(497,1),(534,1),(550,1)}
       139:{1,2,5,7}:{(102,1),(103,1),(176,1),(179,1),(236,1)}
       140:{1,2,3,5,6}:{(103,1),(104,1),(177,1),(180,1),(182,1),(183,1),(237,1),(273,1),(277,1),(279,1),(378,1),(379,1)}
       141:{1,2,4}:{(104,1),(178,1)}
       142:{2,4,5,6,7}:{(106,1),(120,1),(184,1),(185,1),(189,1),(282,1),(285,1),(386,1),(466,1)}
       143:{2,3,5,7}:{(105,1),(108,1),(125,1),(186,1),(187,1),(415,1)}
       144:{1,3,5,6}:{(105,1),(109,1),(126,1),(187,1),(188,1)}
       145:{1,3,5,6,7}:{(106,1),(107,1),(128,1),(185,1),(189,1),(391,1)}
       146:{2,4,6,7}:{(107,1),(108,1),(186,1),(189,1),(190,1),(287,1)}
       147:{1,4,5,7}:{(108,1),(109,1),(133,1),(187,1),(190,1),(220,1),(384,1),(463,1)}
       148:{1,2,4,5,6}:{(109,1),(134,1),(188,1),(191,1),(192,1),(221,1),(230,1),(289,1),(318,1),(326,1),(331,1),(467,1),(468,1)}
       149:{1,2,4,5,6}:{(110,1),(113,1),(116,1),(194,1),(195,1),(204,1),(221,1),(296,1),(309,1),(318,1),(326,1),(407,1),(469,1)}
       150:{1,3,5}:{(110,1),(111,1),(196,1)}
       151:{2,3,4,6}:{(111,1),(115,1),(196,1),(197,1),(199,1),(296,1),(472,1),(473,1)}
       152:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(194,1),(198,1),(205,1),(381,1),(386,1),(460,1)}
       153:{1,3,6}:{(113,1),(114,1),(199,1)}
       154:{2,3,5,7}:{(114,1),(115,1),(119,1),(196,1),(199,1),(200,1)}
       155:{1,3,4,7}:{(115,1),(197,1),(200,1),(201,1),(396,1),(474,1)}
       156:{1,4,5,7}:{(116,1),(117,1),(120,1),(203,1),(220,1)}
       157:{1,3,5,6}:{(116,1),(118,1),(121,1),(203,1),(204,1)}
       158:{1,3,4,6,7}:{(117,1),(118,1),(122,1),(198,1),(203,1),(205,1),(295,1)}
       159:{2,4,6}:{(118,1),(119,1),(199,1),(204,1),(206,1)}
       160:{1,4,5,7}:{(119,1),(200,1),(206,1),(297,1),(310,1),(396,1)}
       161:{1,2,4,5}:{(127,1),(208,1),(209,1),(306,1),(385,1),(405,1)}
       162:{3,4,5,6}:{(121,1),(210,1),(211,1),(416,1),(518,1)}
       163:{3,5,7}:{(120,1),(121,1),(122,1)}
       164:{2,3,5,6}:{(121,1),(123,1),(129,1),(204,1),(211,1),(212,1),(213,1),(467,1),(518,1),(543,1)}
       165:{2,3,4,6,7}:{(122,1),(123,1),(125,1),(130,1),(186,1),(205,1),(212,1),(214,1),(285,1),(321,1),(380,1),(388,1),(393,1),(417,1),(465,1),(515,1)}
       166:{1,3,4,6}:{(123,1),(124,1),(131,1),(206,1),(213,1),(215,1),(223,1),(313,1),(326,1),(411,1),(416,1),(464,1),(548,1)}
       167:{2,4,5,7}:{(124,1),(127,1),(215,1),(216,1),(217,1),(319,1),(395,1),(417,1),(418,1),(471,1)}
       168:{1,3,4,7}:{(125,1),(126,1),(133,1),(187,1),(217,1),(225,1),(315,1),(384,1)}
       169:{2,4,6}:{(126,1),(127,1),(188,1),(217,1),(218,1)}
       170:{2,3,5}:{(127,1),(135,1),(209,1),(218,1),(219,1)}
       171:{2,5,7}:{(128,1),(129,1),(130,1),(220,1)}
       172:{1,5,6}:{(129,1),(131,1),(220,1)}
       173:{1,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(220,1)}
       174:{1,2,4,6}:{(131,1),(132,1),(137,1),(215,1),(221,1),(223,1),(326,1),(548,1),(552,1)}
       175:{1,3,5,7}:{(132,1),(135,1),(216,1),(223,1),(224,1),(225,1),(328,1),(470,1),(521,1)}
       176:{1,2,4,7}:{(133,1),(134,1),(139,1),(217,1),(225,1)}
       177:{1,3,6}:{(134,1),(135,1),(218,1),(225,1)}
       178:{1,3,4}:{(135,1),(141,1),(219,1)}
       179:{1,2,6,7}:{(136,1),(137,1),(139,1),(287,1)}
       180:{1,2,3,6}:{(137,1),(138,1),(223,1),(228,1),(552,1)}
       181:{1,2,4,7}:{(138,1),(141,1),(224,1),(228,1),(520,1)}
       182:{1,2,3,5,7}:{(139,1),(140,1),(225,1),(227,1),(229,1),(288,1),(325,1),(329,1),(330,1)}
       183:{1,2,4,6}:{(140,1),(141,1),(226,1),(229,1),(230,1),(289,1),(326,1)}
       184:{1,4,5,6,7}:{(142,1),(156,1),(231,1),(238,1),(337,1),(493,1)}
       185:{3,5,6,7}:{(142,1),(163,1),(233,1),(428,1),(495,1)}
       186:{2,3,6,7}:{(143,1),(146,1),(235,1),(428,1)}
       187:{1,3,5,7}:{(143,1),(144,1),(147,1),(168,1),(235,1),(236,1)}
       188:{2,5,6}:{(144,1),(169,1),(236,1)}
       189:{2,5,6,7}:{(145,1),(146,1),(171,1),(238,1),(430,1)}
       190:{1,4,6,7}:{(146,1),(147,1),(235,1),(238,1)}
       191:{1,2,4,5,7}:{(147,1),(148,1),(176,1),(236,1),(239,1),(240,1),(272,1),(340,1),(368,1),(375,1),(430,1),(432,1)}
       192:{1,3,5,6}:{(148,1),(177,1),(237,1),(240,1),(241,1),(277,1),(369,1),(378,1)}
       193:{1,3,4,5}:{(150,1),(242,1),(243,1),(376,1),(456,1)}
       194:{1,2,4,5,7}:{(149,1),(152,1),(156,1),(244,1),(255,1),(272,1),(347,1),(360,1),(368,1),(375,1),(447,1),(498,1)}
       195:{1,3,5,6}:{(149,1),(150,1),(153,1),(242,1),(244,1),(245,1),(369,1),(499,1)}
       196:{2,3,5}:{(150,1),(151,1),(243,1),(246,1)}
       197:{1,3,4,6}:{(151,1),(155,1),(246,1),(247,1),(249,1),(348,1),(439,1),(440,1)}
       198:{1,3,6,7}:{(152,1),(153,1),(244,1),(248,1),(428,1)}
       199:{2,3,6}:{(153,1),(154,1),(159,1),(249,1)}
       200:{1,3,5,7}:{(154,1),(155,1),(160,1),(246,1),(249,1),(250,1)}
       201:{1,2,4,7}:{(155,1),(247,1),(250,1),(251,1)}
       202:{1,3,4,5,6}:{(157,1),(162,1),(242,1),(253,1),(254,1),(264,1),(359,1),(369,1),(450,1),(533,1)}
       203:{1,3,5,7}:{(156,1),(157,1),(158,1),(163,1),(255,1)}
       204:{2,5,6}:{(157,1),(159,1),(255,1),(256,1)}
       205:{2,4,6,7}:{(158,1),(159,1),(248,1),(255,1),(257,1),(347,1)}
       206:{1,4,6}:{(159,1),(160,1),(249,1),(256,1)}
       207:{1,2,4,5,7}:{(160,1),(161,1),(167,1),(250,1),(258,1),(259,1),(260,1),(349,1),(355,1),(362,1),(427,1),(438,1),(444,1),(445,1),(451,1),(452,1)}
       208:{1,2,4,6}:{(161,1),(169,1),(232,1),(260,1),(261,1),(336,1)}
       209:{1,3,5}:{(161,1),(170,1),(261,1),(262,1)}
       210:{3,4,5,7}:{(162,1),(163,1),(233,1),(263,1),(455,1),(495,1)}
       211:{2,4,5,6}:{(162,1),(164,1),(263,1),(264,1),(371,1)}
       212:{2,3,5,7}:{(163,1),(164,1),(165,1),(171,1),(255,1),(263,1),(265,1),(430,1),(495,1),(532,1)}
       213:{1,3,5,6}:{(164,1),(166,1),(172,1),(256,1),(264,1),(265,1),(266,1),(369,1),(494,1),(549,1)}
       214:{1,3,4,6,7}:{(165,1),(166,1),(168,1),(173,1),(235,1),(257,1),(265,1),(267,1),(274,1),(337,1),(364,1),(375,1),(423,1),(426,1),(428,1),(435,1),(451,1),(455,1),(531,1)}
       215:{2,4,6}:{(166,1),(167,1),(266,1),(268,1)}
       216:{2,3,5,7}:{(167,1),(170,1),(175,1),(259,1),(268,1),(269,1),(270,1),(373,1),(437,1),(501,1)}
       217:{2,4,7}:{(168,1),(169,1),(236,1),(270,1)}
       218:{2,3,6}:{(169,1),(170,1),(177,1),(261,1),(270,1)}
       219:{2,3,4}:{(170,1),(178,1),(262,1)}
       220:{1,5,7}:{(171,1),(172,1),(173,1)}
       221:{1,2,5,6}:{(172,1),(174,1),(266,1),(272,1),(273,1),(279,1),(549,1)}
       222:{1,2,4,6,7}:{(173,1),(174,1),(176,1),(179,1),(267,1),(272,1),(274,1),(375,1),(490,1),(498,1),(531,1)}
       223:{1,3,6}:{(174,1),(175,1),(268,1)}
       224:{1,3,4,7}:{(175,1),(178,1),(181,1),(269,1),(275,1),(375,1),(500,1)}
       225:{1,3,7}:{(176,1),(177,1),(270,1)}
       226:{1,3,4,6}:{(177,1),(178,1),(183,1),(271,1),(276,1),(277,1),(378,1)}
       227:{1,2,3,6,7}:{(179,1),(180,1),(182,1),(274,1),(278,1),(339,1),(378,1),(534,1)}
       228:{1,2,4,6}:{(180,1),(181,1),(275,1),(279,1)}
       229:{1,2,4,7}:{(182,1),(183,1),(276,1),(340,1),(375,1)}
       230:{1,2,4,5}:{(183,1),(277,1),(279,1),(341,1),(376,1)}
       231:{1,3,5,6,7}:{(184,1),(185,1),(203,1),(281,1),(282,1),(516,1)}
       232:{1,2,5,6}:{(188,1),(208,1),(283,1),(284,1),(405,1),(479,1)}
       233:{3,4,6,7}:{(185,1),(210,1),(285,1)}
       234:{2,3,5,6,7}:{(185,1),(186,1),(189,1),(212,1),(282,1),(285,1),(286,1),(380,1)}
       235:{1,3,6,7}:{(186,1),(187,1),(190,1),(287,1)}
       236:{2,5,7}:{(187,1),(188,1),(217,1),(287,1)}
       237:{2,3,5,6}:{(188,1),(192,1),(218,1),(284,1),(288,1),(289,1),(324,1),(420,1),(467,1)}
       238:{1,5,6,7}:{(189,1),(190,1),(220,1),(463,1)}
       239:{1,2,4,6,7}:{(190,1),(191,1),(287,1),(290,1),(291,1),(331,1),(386,1),(388,1),(390,1)}
       240:{1,3,5,7}:{(191,1),(192,1),(225,1),(288,1),(291,1),(292,1),(415,1)}
       241:{1,3,4,6}:{(192,1),(289,1),(292,1),(293,1),(326,1),(416,1)}
       242:{1,3,4,6}:{(193,1),(195,1),(295,1),(296,1),(326,1),(416,1)}
       243:{2,4,5}:{(193,1),(196,1),(296,1),(297,1)}
       244:{1,3,5,7}:{(194,1),(195,1),(198,1),(295,1),(298,1),(415,1),(521,1)}
       245:{2,3,5,6}:{(195,1),(196,1),(199,1),(204,1),(296,1),(298,1),(299,1),(407,1),(472,1)}
       246:{1,3,5}:{(196,1),(197,1),(297,1),(300,1)}
       247:{1,2,4,6}:{(197,1),(201,1),(300,1),(301,1),(303,1),(401,1)}
       248:{2,3,6,7}:{(198,1),(199,1),(205,1),(298,1),(302,1),(460,1)}
       249:{1,3,6}:{(199,1),(200,1),(206,1),(303,1)}
       250:{1,2,5,7}:{(200,1),(201,1),(300,1),(303,1)}
       251:{1,2,3,7}:{(201,1),(301,1),(474,1)}
       252:{1,2,3,5}:{(209,1),(305,1),(306,1),(405,1)}
       253:{1,3,4,5,7}:{(202,1),(203,1),(210,1),(281,1),(295,1),(308,1),(317,1),(406,1),(415,1),(484,1),(516,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(296,1),(307,1),(308,1),(309,1),(407,1),(483,1),(543,1)}
       255:{2,5,7}:{(203,1),(204,1),(205,1),(310,1)}
       256:{1,5,6}:{(204,1),(206,1),(310,1)}
       257:{1,4,6,7}:{(205,1),(206,1),(302,1),(310,1),(396,1)}
       258:{1,2,4,6}:{(206,1),(207,1),(215,1),(303,1),(311,1),(313,1),(411,1),(464,1),(479,1)}
       259:{1,3,5,7}:{(207,1),(209,1),(216,1),(313,1),(314,1),(315,1),(398,1),(413,1),(474,1)}
       260:{1,2,4,7}:{(208,1),(217,1),(283,1),(315,1),(384,1)}
       261:{1,3,6}:{(208,1),(209,1),(218,1),(315,1)}
       262:{1,3,4}:{(209,1),(219,1),(306,1)}
       263:{2,4,5,7}:{(210,1),(211,1),(212,1),(285,1),(317,1),(417,1)}
       264:{1,4,5,6}:{(211,1),(213,1),(317,1),(318,1),(326,1),(411,1)}
       265:{1,3,5,7}:{(212,1),(213,1),(214,1),(220,1),(310,1),(317,1),(319,1),(415,1),(463,1),(542,1)}
       266:{2,5,6}:{(213,1),(215,1),(319,1)}
       267:{2,4,6,7}:{(214,1),(215,1),(217,1),(287,1),(319,1),(321,1),(417,1),(460,1),(471,1)}
       268:{2,3,6}:{(215,1),(216,1),(223,1),(313,1)}
       269:{2,3,4,7}:{(216,1),(219,1),(224,1),(314,1),(322,1),(417,1),(473,1)}
       270:{2,3,7}:{(217,1),(218,1),(225,1),(315,1)}
       271:{2,3,4,6}:{(218,1),(219,1),(226,1),(289,1),(316,1),(323,1),(324,1),(420,1)}
       272:{1,2,5,7}:{(220,1),(221,1),(222,1),(319,1),(325,1),(542,1)}
       273:{1,3,5,6}:{(221,1),(223,1),(320,1),(325,1),(326,1),(328,1)}
       274:{1,3,6,7}:{(222,1),(223,1),(225,1),(321,1),(325,1),(521,1)}
       275:{1,3,4,6}:{(223,1),(224,1),(228,1),(322,1),(326,1),(328,1)}
       276:{1,3,4,7}:{(225,1),(226,1),(229,1),(323,1),(329,1)}
       277:{1,3,5}:{(226,1),(230,1),(324,1)}
       278:{1,2,4,6,7}:{(227,1),(228,1),(229,1),(327,1),(330,1),(331,1),(388,1),(544,1),(552,1)}
       279:{1,2,5}:{(228,1),(328,1)}
       280:{1,2,4,5,7}:{(229,1),(230,1),(329,1),(330,1),(331,1),(389,1),(421,1)}
       281:{1,3,4,6,7}:{(231,1),(233,1),(253,1),(332,1),(337,1),(423,1),(428,1)}
       282:{2,5,6,7}:{(231,1),(255,1),(332,1),(333,1),(532,1)}
       283:{1,2,5,7}:{(232,1),(236,1),(260,1),(334,1),(335,1)}
       284:{1,3,5,6}:{(232,1),(237,1),(261,1),(335,1),(336,1),(367,1),(454,1),(494,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(263,1),(337,1)}
       286:{1,3,5,6,7}:{(234,1),(235,1),(238,1),(265,1),(333,1),(337,1),(338,1),(423,1),(428,1)}
       287:{2,6,7}:{(235,1),(236,1)}
       288:{2,3,5,7}:{(236,1),(237,1),(240,1),(270,1),(335,1),(339,1),(340,1),(430,1)}
       289:{2,4,6}:{(237,1),(241,1),(336,1),(340,1),(341,1)}
       290:{1,2,5,6,7}:{(238,1),(239,1),(272,1),(338,1),(342,1),(379,1),(430,1),(490,1)}
       291:{1,3,6,7}:{(239,1),(240,1),(339,1),(378,1),(428,1)}
       292:{1,3,4,7}:{(240,1),(241,1),(340,1),(375,1),(455,1)}
       293:{1,3,4,5}:{(241,1),(277,1),(341,1),(376,1),(456,1)}
       294:{2,3,4,5}:{(243,1),(345,1),(346,1),(437,1),(456,1),(510,1)}
       295:{1,3,4,7}:{(242,1),(244,1),(347,1),(375,1),(455,1)}
       296:{2,4,6}:{(242,1),(243,1),(245,1),(347,1),(348,1)}
       297:{1,4,5}:{(243,1),(246,1),(348,1)}
       298:{2,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(347,1),(350,1),(447,1),(501,1)}
       299:{1,3,5,6}:{(245,1),(246,1),(249,1),(256,1),(348,1),(350,1),(351,1),(439,1)}
       300:{1,2,5}:{(246,1),(247,1)}
       301:{1,2,3,6}:{(247,1),(251,1),(352,1),(439,1)}
       302:{1,3,6,7}:{(248,1),(249,1),(257,1),(350,1),(353,1)}
       303:{1,2,6}:{(249,1),(250,1)}
       304:{1,2,3,5,7}:{(250,1),(251,1),(252,1),(259,1),(352,1),(354,1),(355,1),(356,1),(444,1),(445,1)}
       305:{1,2,3,6}:{(252,1),(261,1),(356,1),(357,1)}
       306:{1,2,4}:{(252,1),(262,1)}
       307:{2,3,5,6}:{(254,1),(345,1),(358,1),(359,1),(369,1)}
       308:{2,4,5,7}:{(253,1),(254,1),(255,1),(332,1),(347,1),(358,1),(360,1),(447,1),(509,1),(532,1)}
       309:{1,4,5,6}:{(254,1),(256,1),(348,1),(359,1),(360,1),(508,1),(549,1)}
       310:{1,5,7}:{(255,1),(256,1),(257,1)}
       311:{1,2,5,6}:{(256,1),(258,1),(266,1),(362,1),(363,1),(444,1),(494,1)}
       312:{1,2,4,6,7}:{(257,1),(258,1),(260,1),(267,1),(334,1),(353,1),(362,1),(364,1),(426,1),(438,1),(451,1)}
       313:{1,3,6}:{(258,1),(259,1),(268,1)}
       314:{1,3,4,7}:{(259,1),(262,1),(269,1),(355,1),(365,1),(440,1),(451,1)}
       315:{1,3,7}:{(260,1),(261,1),(270,1)}
       316:{1,3,4,6}:{(261,1),(262,1),(271,1),(336,1),(357,1),(366,1),(367,1),(454,1)}
       317:{1,4,5,7}:{(263,1),(264,1),(265,1),(337,1),(368,1),(375,1),(451,1)}
       318:{2,4,5,6}:{(264,1),(266,1),(368,1),(369,1),(371,1)}
       319:{2,5,7}:{(265,1),(266,1),(267,1)}
       320:{2,3,5,6}:{(266,1),(268,1),(273,1),(363,1),(369,1),(370,1),(371,1),(373,1)}
       321:{2,3,6,7}:{(267,1),(268,1),(270,1),(274,1),(364,1),(370,1),(428,1),(501,1)}
       322:{2,3,4,6}:{(268,1),(269,1),(275,1),(365,1),(371,1),(373,1)}
       323:{2,3,4,7}:{(270,1),(271,1),(276,1),(340,1),(366,1),(374,1)}
       324:{2,3,5}:{(271,1),(277,1),(341,1),(367,1)}
       325:{1,3,5,7}:{(272,1),(273,1),(274,1),(370,1),(375,1)}
       326:{1,4,6}:{(273,1),(371,1),(375,1),(376,1)}
       327:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(278,1),(372,1),(375,1),(377,1),(378,1),(459,1),(531,1),(536,1),(551,1)}
       328:{1,3,5}:{(275,1),(279,1),(373,1),(376,1)}
       329:{1,3,5,7}:{(276,1),(277,1),(280,1),(374,1),(378,1)}
       330:{1,2,5,7}:{(278,1),(279,1),(377,1),(379,1),(430,1)}
       331:{1,2,4,6}:{(280,1),(378,1),(379,1),(431,1),(459,1)}
       332:{2,4,6,7}:{(281,1),(282,1),(308,1),(380,1),(381,1),(460,1)}
       333:{1,5,6,7}:{(282,1),(310,1),(381,1),(542,1)}
       334:{1,2,6,7}:{(283,1),(287,1),(383,1),(479,1)}
       335:{1,3,5,7}:{(283,1),(284,1),(288,1),(315,1),(383,1),(384,1),(463,1)}
       336:{1,4,6}:{(284,1),(289,1),(384,1),(385,1)}
       337:{1,4,6,7}:{(285,1),(286,1),(317,1),(386,1)}
       338:{2,5,6,7}:{(286,1),(287,1),(319,1),(386,1),(460,1)}
       339:{2,3,6,7}:{(287,1),(288,1),(291,1),(383,1),(388,1),(420,1)}
       340:{2,4,7}:{(288,1),(289,1),(292,1),(384,1)}
       341:{2,4,5}:{(289,1),(293,1),(324,1),(385,1)}
       342:{1,3,5,6,7}:{(290,1),(291,1),(325,1),(387,1),(390,1),(391,1),(422,1),(514,1),(542,1)}
       343:{1,3,4,6,7}:{(291,1),(292,1),(388,1),(390,1),(391,1),(392,1),(465,1)}
       344:{1,3,4,5,7}:{(292,1),(293,1),(329,1),(389,1),(391,1),(392,1),(421,1),(488,1)}
       345:{2,3,4,6}:{(294,1),(296,1),(307,1),(393,1),(394,1),(416,1),(472,1),(483,1)}
       346:{1,3,4,5}:{(294,1),(297,1),(394,1),(395,1),(398,1),(470,1),(528,1)}
       347:{2,4,7}:{(295,1),(296,1),(298,1),(396,1)}
       348:{1,4,6}:{(296,1),(297,1),(299,1),(396,1)}
       349:{1,2,4,5}:{(297,1),(300,1),(395,1),(397,1),(398,1),(401,1)}
       350:{1,3,5,7}:{(298,1),(299,1),(302,1),(310,1),(396,1),(399,1),(474,1)}
       351:{1,2,5,6}:{(299,1),(300,1),(303,1),(397,1),(399,1),(407,1)}
       352:{1,2,3,5}:{(300,1),(301,1),(398,1),(401,1)}
       353:{1,2,6,7}:{(302,1),(303,1),(399,1),(460,1)}
       354:{1,2,3,6}:{(303,1),(304,1),(313,1),(403,1),(479,1)}
       355:{1,2,4,7}:{(304,1),(306,1),(314,1),(401,1),(403,1)}
       356:{1,2,3,7}:{(305,1),(315,1),(404,1)}
       357:{1,2,4,6}:{(305,1),(306,1),(316,1),(404,1),(405,1),(479,1)}
       358:{2,3,5,7}:{(307,1),(308,1),(380,1),(393,1),(406,1),(415,1)}
       359:{1,3,5,6}:{(307,1),(309,1),(394,1),(406,1),(407,1)}
       360:{1,4,5,7}:{(308,1),(309,1),(310,1),(381,1),(396,1),(406,1),(527,1),(542,1)}
       361:{1,2,4,5,6}:{(309,1),(311,1),(318,1),(397,1),(407,1),(408,1),(409,1),(411,1),(477,1),(483,1),(517,1),(526,1),(543,1)}
       362:{1,2,5,7}:{(310,1),(311,1),(312,1),(319,1),(410,1),(463,1)}
       363:{1,3,5,6}:{(311,1),(313,1),(320,1),(410,1),(411,1),(413,1)}
       364:{1,3,6,7}:{(312,1),(313,1),(315,1),(321,1),(410,1),(474,1)}
       365:{1,3,4,6}:{(313,1),(314,1),(322,1),(403,1),(411,1),(413,1)}
       366:{1,3,4,7}:{(315,1),(316,1),(323,1),(384,1),(404,1),(414,1)}
       367:{1,3,5}:{(316,1),(324,1),(385,1),(405,1)}
       368:{2,4,5,7}:{(317,1),(318,1),(319,1),(386,1),(415,1),(417,1)}
       369:{3,5,6}:{(318,1),(415,1),(416,1)}
       370:{2,3,5,7}:{(319,1),(320,1),(321,1),(325,1),(410,1),(415,1),(417,1)}
       371:{2,4,6}:{(320,1),(326,1),(411,1),(416,1),(417,1),(418,1)}
       372:{2,3,4,6,7}:{(321,1),(322,1),(323,1),(327,1),(388,1),(412,1),(417,1),(419,1),(420,1),(465,1),(489,1),(515,1),(523,1),(547,1)}
       373:{2,3,5}:{(322,1),(328,1),(413,1),(418,1)}
       374:{2,3,5,7}:{(323,1),(324,1),(329,1),(389,1),(414,1),(420,1)}
       375:{1,4,7}:{(325,1),(326,1),(417,1)}
       376:{1,4,5}:{(326,1),(328,1),(418,1)}
       377:{1,3,5,7}:{(327,1),(328,1),(330,1),(419,1),(421,1),(422,1),(542,1)}
       378:{1,3,6}:{(329,1),(331,1),(420,1)}
       379:{1,2,5,6}:{(330,1),(331,1),(422,1),(467,1),(552,1)}
       380:{2,3,6,7}:{(332,1),(358,1),(423,1),(428,1)}
       381:{1,4,6,7}:{(332,1),(333,1),(360,1),(423,1)}
       382:{1,2,5,6,7}:{(333,1),(334,1),(338,1),(362,1),(424,1),(425,1),(506,1),(532,1)}
       383:{1,3,6,7}:{(334,1),(335,1),(339,1),(426,1),(454,1)}
       384:{1,4,7}:{(335,1),(336,1),(340,1)}
       385:{1,4,5}:{(336,1),(341,1),(367,1)}
       386:{2,4,6,7}:{(337,1),(338,1),(368,1),(428,1)}
       387:{2,3,5,6,7}:{(338,1),(339,1),(342,1),(370,1),(425,1),(428,1),(429,1),(430,1),(458,1),(491,1),(495,1),(532,1)}
       388:{2,4,6,7}:{(339,1),(340,1),(343,1),(426,1),(430,1),(431,1)}
       389:{2,4,5,7}:{(340,1),(341,1),(344,1),(374,1),(427,1),(430,1),(431,1)}
       390:{1,4,6,7}:{(342,1),(375,1),(429,1),(432,1),(459,1)}
       391:{1,3,5,7}:{(343,1),(430,1),(432,1),(433,1),(495,1)}
       392:{1,3,4,6}:{(344,1),(378,1),(431,1),(433,1),(459,1),(513,1)}
       393:{2,3,4,7}:{(345,1),(347,1),(358,1),(435,1),(455,1),(501,1),(509,1)}
       394:{1,3,4,6}:{(345,1),(346,1),(348,1),(359,1),(435,1),(436,1),(439,1),(499,1),(508,1)}
       395:{2,4,5}:{(346,1),(436,1),(437,1)}
       396:{1,4,7}:{(347,1),(348,1),(350,1)}
       397:{1,2,4,6}:{(348,1),(349,1),(351,1),(436,1),(438,1),(439,1)}
       398:{1,3,5}:{(349,1),(437,1),(439,1),(440,1)}
       399:{1,2,5,7}:{(350,1),(351,1),(353,1),(438,1),(447,1)}
       400:{1,2,3,5,6}:{(351,1),(352,1),(354,1),(363,1),(439,1),(441,1),(442,1),(444,1),(448,1),(504,1),(506,1),(539,1)}
       401:{1,2,4}:{(352,1),(440,1)}
       402:{1,2,3,6,7}:{(353,1),(354,1),(356,1),(364,1),(441,1),(443,1),(491,1),(539,1)}
       403:{1,2,4,6}:{(354,1),(355,1),(365,1),(444,1)}
       404:{1,2,4,7}:{(356,1),(357,1),(366,1),(445,1)}
       405:{1,2,5}:{(357,1),(367,1)}
       406:{1,3,5,7}:{(358,1),(359,1),(360,1),(423,1),(435,1),(447,1)}
       407:{2,5,6}:{(359,1),(436,1),(447,1)}
       408:{1,2,4,5,7}:{(360,1),(361,1),(362,1),(368,1),(424,1),(438,1),(447,1),(449,1),(451,1),(493,1),(509,1),(532,1)}
       409:{1,3,5,6}:{(361,1),(369,1),(439,1),(448,1),(449,1),(450,1),(504,1),(539,1)}
       410:{1,3,5,7}:{(362,1),(363,1),(364,1),(370,1),(451,1)}
       411:{1,4,6}:{(363,1),(371,1),(451,1),(452,1)}
       412:{1,3,4,6,7}:{(364,1),(365,1),(366,1),(372,1),(426,1),(443,1),(451,1),(453,1),(454,1),(503,1),(512,1),(539,1)}
       413:{1,3,5}:{(365,1),(373,1),(444,1),(452,1)}
       414:{1,3,5,7}:{(366,1),(367,1),(374,1),(427,1),(445,1),(454,1)}
       415:{3,5,7}:{(368,1),(369,1),(428,1),(455,1)}
       416:{3,4,6}:{(369,1),(371,1),(455,1),(456,1)}
       417:{2,4,7}:{(370,1),(371,1),(375,1),(451,1),(455,1)}
       418:{2,4,5}:{(371,1),(373,1),(376,1),(452,1),(456,1)}
       419:{2,3,5,7}:{(372,1),(373,1),(377,1),(430,1),(453,1),(457,1),(458,1),(495,1),(532,1)}
       420:{2,3,6}:{(374,1),(378,1),(431,1),(454,1)}
       421:{1,4,5,7}:{(375,1),(376,1),(377,1),(457,1),(459,1)}
       422:{1,3,5,6}:{(377,1),(378,1),(379,1),(458,1),(459,1),(549,1),(551,1)}
       423:{1,3,6,7}:{(380,1),(381,1),(406,1),(460,1)}
       424:{1,2,4,6,7}:{(381,1),(382,1),(386,1),(408,1),(460,1),(461,1),(462,1),(515,1),(526,1)}
       425:{1,3,5,6,7}:{(382,1),(383,1),(387,1),(410,1),(461,1),(462,1),(463,1),(487,1),(516,1)}
       426:{1,4,6,7}:{(383,1),(384,1),(388,1),(463,1),(464,1)}
       427:{1,4,5,7}:{(384,1),(385,1),(389,1),(414,1),(463,1),(464,1)}
       428:{3,6,7}:{(386,1),(415,1)}
       429:{2,4,6,7}:{(387,1),(390,1),(417,1),(462,1),(465,1),(466,1),(489,1)}
       430:{2,5,7}:{(388,1),(391,1),(463,1),(467,1)}
       431:{2,4,6}:{(389,1),(392,1),(420,1),(464,1),(467,1)}
       432:{1,4,5,7}:{(390,1),(391,1),(466,1),(468,1),(542,1)}
       433:{1,3,5,6}:{(391,1),(392,1),(467,1),(468,1),(518,1)}
       434:{1,2,4,5}:{(395,1),(469,1),(470,1),(520,1),(528,1),(545,1)}
       435:{1,3,4,7}:{(393,1),(394,1),(396,1),(406,1),(471,1),(474,1),(521,1),(527,1)}
       436:{2,4,6}:{(394,1),(395,1),(407,1),(471,1),(472,1)}
       437:{2,3,5}:{(395,1),(398,1),(470,1),(472,1),(473,1)}
       438:{1,2,4,7}:{(396,1),(397,1),(399,1),(471,1),(474,1)}
       439:{1,3,6}:{(397,1),(398,1),(472,1),(474,1)}
       440:{1,3,4}:{(398,1),(401,1),(473,1)}
       441:{1,2,3,5,7}:{(399,1),(400,1),(402,1),(410,1),(474,1),(476,1),(478,1),(482,1),(525,1)}
       442:{1,2,4,6}:{(400,1),(401,1),(411,1),(475,1),(476,1),(477,1),(483,1)}
       443:{1,2,4,6,7}:{(402,1),(403,1),(404,1),(412,1),(476,1),(478,1),(479,1),(515,1),(526,1)}
       444:{1,2,5}:{(403,1),(413,1)}
       445:{1,2,5,7}:{(404,1),(405,1),(414,1),(479,1)}
       446:{1,2,5,6}:{(407,1),(469,1),(480,1),(481,1),(545,1),(552,1)}
       447:{2,5,7}:{(406,1),(407,1),(460,1),(471,1)}
       448:{2,3,5,6}:{(407,1),(409,1),(472,1),(481,1),(482,1),(483,1),(524,1),(543,1),(547,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(415,1),(461,1),(474,1),(482,1),(484,1)}
       450:{1,3,4,6}:{(409,1),(411,1),(416,1),(483,1),(484,1),(485,1)}
       451:{1,4,7}:{(410,1),(411,1),(417,1)}
       452:{1,4,5}:{(411,1),(413,1),(418,1)}
       453:{1,3,5,7}:{(412,1),(413,1),(419,1),(463,1),(478,1),(486,1),(487,1)}
       454:{1,3,6}:{(414,1),(420,1),(464,1),(479,1)}
       455:{3,4,7}:{(415,1),(416,1),(417,1)}
       456:{3,4,5}:{(416,1),(418,1)}
       457:{2,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(486,1),(488,1),(489,1)}
       458:{2,3,5,6}:{(419,1),(420,1),(422,1),(467,1),(487,1),(489,1),(518,1),(543,1),(547,1)}
       459:{1,4,6}:{(421,1),(422,1),(489,1)}
       460:{2,6,7}:{(423,1),(447,1)}
       461:{1,3,6,7}:{(424,1),(428,1),(449,1),(491,1),(539,1)}
       462:{1,4,6,7}:{(425,1),(429,1),(451,1),(493,1),(512,1)}
       463:{1,5,7}:{(426,1),(430,1),(494,1)}
       464:{1,4,6}:{(427,1),(431,1),(454,1),(494,1)}
       465:{3,4,6,7}:{(428,1),(429,1),(455,1),(495,1),(513,1)}
       466:{2,4,5,7}:{(429,1),(430,1),(432,1),(493,1),(495,1),(496,1),(532,1)}
       467:{2,5,6}:{(430,1),(431,1),(433,1),(494,1)}
       468:{1,4,5,6}:{(432,1),(433,1),(459,1),(496,1),(549,1)}
       469:{1,2,4,6}:{(434,1),(436,1),(446,1),(498,1),(499,1),(508,1)}
       470:{1,3,5}:{(434,1),(437,1),(499,1),(500,1)}
       471:{2,4,7}:{(435,1),(436,1),(447,1),(501,1)}
       472:{2,3,6}:{(436,1),(437,1),(439,1),(499,1),(501,1)}
       473:{2,3,4}:{(437,1),(440,1),(500,1)}
       474:{1,3,7}:{(438,1),(439,1),(501,1)}
       475:{1,3,4,6}:{(439,1),(440,1),(442,1),(502,1),(503,1),(504,1),(539,1)}
       476:{1,2,4,7}:{(441,1),(442,1),(451,1),(503,1),(509,1)}
       477:{1,2,4,5}:{(442,1),(444,1),(452,1),(504,1),(510,1)}
       478:{1,2,5,7}:{(443,1),(444,1),(453,1),(506,1),(532,1)}
       479:{1,2,6}:{(445,1),(454,1)}
       480:{1,2,5,7}:{(446,1),(447,1),(490,1),(498,1),(507,1)}
       481:{1,3,5,6}:{(446,1),(448,1),(499,1),(507,1),(508,1),(537,1),(549,1),(551,1)}
       482:{2,3,5,7}:{(447,1),(448,1),(449,1),(491,1),(501,1),(507,1),(509,1),(532,1)}
       483:{2,4,6}:{(448,1),(450,1),(508,1),(509,1),(510,1)}
       484:{1,3,4,7}:{(449,1),(450,1),(451,1),(455,1),(509,1)}
       485:{1,3,4,5}:{(450,1),(452,1),(456,1),(504,1),(510,1)}
       486:{1,4,5,7}:{(451,1),(452,1),(453,1),(457,1),(512,1)}
       487:{1,3,5,6}:{(453,1),(454,1),(458,1),(494,1),(506,1),(512,1),(539,1)}
       488:{3,4,5,7}:{(455,1),(456,1),(457,1),(495,1),(513,1)}
       489:{2,4,6}:{(457,1),(458,1),(459,1),(512,1),(513,1)}
       490:{1,2,6,7}:{(460,1),(480,1),(514,1),(552,1)}
       491:{2,3,6,7}:{(460,1),(461,1),(482,1),(514,1),(515,1),(547,1)}
       492:{1,3,4,6,7}:{(461,1),(462,1),(465,1),(484,1),(515,1),(516,1),(530,1)}
       493:{1,4,5,7}:{(462,1),(463,1),(466,1),(516,1),(517,1)}
       494:{1,5,6}:{(463,1),(464,1),(467,1)}
       495:{3,5,7}:{(465,1),(466,1),(518,1)}
       496:{2,4,5,6}:{(466,1),(467,1),(468,1),(489,1),(517,1),(518,1),(543,1)}
       497:{1,2,3,5}:{(470,1),(519,1),(520,1),(545,1)}
       498:{1,2,4,7}:{(469,1),(471,1),(480,1),(521,1),(527,1)}
       499:{1,3,6}:{(469,1),(470,1),(472,1),(521,1)}
       500:{1,3,4}:{(470,1),(473,1),(520,1)}
       501:{2,3,7}:{(471,1),(472,1),(474,1),(521,1)}
       502:{2,3,4,6}:{(472,1),(473,1),(475,1),(483,1),(522,1),(523,1),(524,1),(547,1)}
       503:{1,3,4,7}:{(474,1),(475,1),(476,1),(523,1),(525,1)}
       504:{1,3,5}:{(475,1),(477,1),(524,1)}
       505:{1,2,4,5,7}:{(476,1),(477,1),(478,1),(486,1),(525,1),(526,1),(529,1)}
       506:{1,2,5,6}:{(478,1),(479,1),(487,1),(526,1),(543,1)}
       507:{1,3,5,7}:{(480,1),(481,1),(482,1),(514,1),(521,1),(527,1),(542,1)}
       508:{1,4,6}:{(481,1),(483,1),(527,1),(528,1)}
       509:{2,4,7}:{(482,1),(483,1),(484,1),(527,1)}
       510:{2,4,5}:{(483,1),(485,1),(524,1),(528,1)}
       511:{1,3,4,5,7}:{(484,1),(485,1),(486,1),(488,1),(516,1),(525,1),(529,1),(530,1)}
       512:{1,4,6}:{(486,1),(487,1),(489,1)}
       513:{3,4,6}:{(488,1),(489,1),(518,1)}
       514:{1,3,6,7}:{(490,1),(491,1),(507,1),(531,1),(551,1)}
       515:{2,4,6,7}:{(491,1),(492,1),(509,1),(531,1),(532,1),(541,1)}
       516:{1,3,5,7}:{(492,1),(493,1),(495,1),(532,1),(533,1)}
       517:{1,4,5,6}:{(493,1),(494,1),(496,1),(512,1),(533,1)}
       518:{3,5,6}:{(495,1),(496,1),(513,1)}
       519:{1,2,3,6}:{(497,1),(499,1),(534,1),(535,1)}
       520:{1,2,4}:{(497,1),(500,1)}
       521:{1,3,7}:{(498,1),(499,1),(501,1)}
       522:{1,3,4,6}:{(499,1),(500,1),(502,1),(508,1),(535,1),(536,1),(537,1),(551,1)}
       523:{2,3,4,7}:{(501,1),(502,1),(503,1),(509,1),(536,1),(538,1)}
       524:{2,3,5}:{(502,1),(504,1),(510,1),(537,1)}
       525:{1,3,5,7}:{(503,1),(504,1),(505,1),(538,1),(539,1)}
       526:{1,2,4,6}:{(505,1),(506,1),(512,1),(539,1),(541,1)}
       527:{1,4,7}:{(507,1),(508,1),(509,1)}
       528:{1,4,5}:{(508,1),(510,1),(537,1)}
       529:{2,4,5,7}:{(509,1),(510,1),(511,1),(532,1),(538,1),(540,1),(541,1)}
       530:{1,3,4,6}:{(511,1),(512,1),(513,1),(533,1),(539,1),(541,1)}
       531:{1,4,6,7}:{(514,1),(515,1),(527,1),(542,1),(548,1)}
       532:{2,5,7}:{(515,1),(516,1),(542,1),(543,1)}
       533:{1,3,5,6}:{(516,1),(517,1),(518,1),(530,1),(543,1)}
       534:{1,2,3,7}:{(519,1),(521,1),(544,1)}
       535:{1,2,4,6}:{(519,1),(520,1),(522,1),(544,1),(545,1),(552,1)}
       536:{1,3,4,7}:{(521,1),(522,1),(523,1),(527,1),(544,1),(546,1)}
       537:{1,3,5}:{(522,1),(524,1),(528,1),(545,1)}
       538:{2,3,5,7}:{(523,1),(524,1),(525,1),(529,1),(546,1),(547,1)}
       539:{1,3,6}:{(525,1),(526,1),(547,1)}
       540:{1,4,5,7}:{(527,1),(528,1),(529,1),(542,1),(546,1),(548,1)}
       541:{2,4,6}:{(529,1),(530,1),(543,1),(547,1),(548,1)}
       542:{1,5,7}:{(531,1),(532,1),(549,1)}
       543:{2,5,6}:{(532,1),(533,1),(541,1),(549,1)}
       544:{1,2,4,7}:{(534,1),(535,1),(536,1),(550,1)}
       545:{1,2,5}:{(535,1),(537,1)}
       546:{1,3,5,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       547:{2,3,6}:{(538,1),(539,1),(541,1),(551,1)}
       548:{1,4,6}:{(540,1),(541,1),(549,1),(551,1)}
       549:{1,5,6}:{(542,1),(543,1),(548,1)}
       550:{1,2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       551:{1,3,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

2000 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2001 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(48,1),(83,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(105,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(105,1),(138,1),(139,1),(140,1),(143,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(44,1),(85,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(105,1),(115,1),(116,1),(117,1),(143,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(23,1),(24,1),(60,1),(103,1),(104,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(108,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(143,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(108,1),(114,1),(139,1),(146,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{1,3,5,6,7}:{(11,1),(12,1),(40,1),(41,1),(81,1),(82,1),(125,1),(126,1)}
        24:{2,4,6,7}:{(11,1),(13,1),(39,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(39,1),(43,1),(44,1),(85,1),(86,1),(158,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(44,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(127,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(108,1),(116,1),(137,1),(146,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{2,5,6,7}:{(23,1),(26,1),(61,1),(103,1),(143,1)}
        41:{1,4,6,7}:{(23,1),(24,1),(27,1),(59,1),(61,1)}
        42:{3,4,6,7}:{(24,1),(28,1),(60,1)}
        43:{1,4,5,6}:{(25,1),(27,1),(59,1),(63,1),(64,1),(71,1),(97,1),(108,1),(145,1)}
        44:{3,5,6}:{(25,1),(28,1),(60,1),(109,1),(166,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(146,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(64,1),(66,1),(67,1),(106,1),(111,1),(145,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(144,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(42,1),(44,1),(170,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(46,1),(80,1),(82,1)}
        62:{1,3,4,6,7}:{(41,1),(42,1),(47,1),(81,1),(82,1),(83,1),(123,1),(126,1),(155,1),(170,1)}
        63:{2,4,5,6}:{(43,1),(46,1),(80,1),(84,1),(85,1),(86,1),(128,1)}
        64:{1,3,5,6}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(92,1),(118,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(85,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,6,7}:{(61,1),(66,1),(102,1)}
        83:{2,4,6,7}:{(62,1),(67,1),(103,1),(104,1),(105,1),(141,1),(143,1),(164,1)}
        84:{3,5,6}:{(63,1),(66,1),(102,1),(106,1),(109,1)}
        85:{2,5,6}:{(64,1),(67,1),(103,1),(108,1),(114,1),(137,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(108,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{2,3,6,7}:{(82,1),(83,1),(88,1),(124,1),(126,1),(170,1)}
       105:{1,4,6,7}:{(83,1),(89,1),(125,1),(126,1),(155,1)}
       106:{3,4,6}:{(84,1),(123,1),(127,1),(128,1)}
       107:{2,3,5,6}:{(84,1),(85,1),(88,1),(124,1),(128,1),(129,1),(130,1)}
       108:{1,5,6}:{(85,1),(89,1),(125,1),(134,1),(152,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(128,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(106,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(104,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(105,1),(108,1)}
       126:{1,3,6,7}:{(104,1),(105,1),(111,1),(142,1),(143,1)}
       127:{3,4,5}:{(106,1),(109,1),(144,1),(174,1)}
       128:{2,4,6}:{(106,1),(107,1),(141,1),(144,1),(145,1)}
       129:{1,3,5,6}:{(107,1),(108,1),(111,1),(142,1),(145,1),(146,1),(147,1),(166,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(144,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(145,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(128,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,6,7}:{(126,1),(132,1),(156,1)}
       144:{2,4,5}:{(127,1),(128,1),(130,1),(157,1),(172,1)}
       145:{1,4,6}:{(128,1),(129,1),(155,1),(157,1),(158,1)}
       146:{2,5,6}:{(129,1),(132,1),(156,1),(158,1),(159,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(145,1),(164,1)}
       156:{2,5,7}:{(142,1),(143,1),(146,1),(164,1)}
       157:{1,4,5}:{(144,1),(145,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(145,1),(146,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2002 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2003 :   0:{1,2,3,6,7}:{(2,1),(3,1),(52,1),(111,1),(174,1),(275,1),(360,1),(366,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(16,1),(18,1),(51,1),(52,1),(170,1),(256,1),(261,1),(275,1),(371,1),(381,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(32,1),(130,1),(145,1),(219,1),(330,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(33,1),(78,1),(309,1),(314,1),(413,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(72,1),(221,1),(418,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(90,1),(117,1),(165,1),(202,1),(299,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(19,1),(46,1),(52,1),(94,1),(168,1),(259,1),(366,1),(372,1),(453,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(16,1),(191,1),(381,1)}
         8:{1,2,4,5}:{(4,1),(18,1),(48,1),(381,1),(459,1)}
         9:{1,2,4,7}:{(3,1),(4,1),(19,1),(105,1),(453,1)}
        10:{1,3,4,6}:{(4,1),(18,1),(19,1),(20,1),(52,1),(261,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(24,1),(60,1),(83,1),(155,1),(206,1),(254,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(61,1),(214,1),(351,1),(486,1),(494,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(35,1),(64,1),(66,1),(80,1),(125,1),(133,1),(145,1),(206,1),(341,1),(346,1),(436,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(312,1),(419,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(32,1),(72,1),(73,1),(143,1),(148,1),(207,1),(229,1),(318,1),(344,1),(418,1)}
        16:{1,2,5,6}:{(7,1),(26,1),(32,1),(148,1),(219,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(32,1),(33,1),(75,1)}
        18:{1,3,5}:{(8,1),(10,1),(34,1)}
        19:{1,3,4,7}:{(9,1),(10,1),(33,1),(35,1),(314,1)}
        20:{2,3,4,6}:{(10,1),(34,1),(35,1),(36,1),(72,1),(80,1),(234,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(55,1),(86,1),(90,1),(114,1),(192,1),(299,1),(303,1),(400,1)}
        22:{1,2,5,7}:{(11,1),(37,1),(38,1),(258,1),(306,1)}
        23:{1,2,3,5,6}:{(12,1),(38,1),(40,1),(90,1),(92,1),(167,1),(202,1),(302,1),(306,1),(456,1),(465,1),(468,1)}
        24:{1,2,4,7}:{(12,1),(40,1),(41,1),(267,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(178,1),(191,1),(258,1),(396,1)}
        26:{1,3,5,6}:{(14,1),(16,1),(42,1),(46,1),(52,1),(168,1),(263,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(46,1),(453,1),(459,1)}
        28:{1,3,4,5}:{(18,1),(45,1),(48,1),(459,1),(477,1)}
        29:{1,2,5,6,7}:{(16,1),(44,1),(49,1),(191,1),(269,1),(294,1),(365,1),(386,1)}
        30:{1,2,4,5,7}:{(15,1),(49,1),(50,1),(103,1),(105,1),(189,1),(191,1),(260,1),(283,1),(365,1),(390,1),(453,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(45,1),(50,1),(51,1),(52,1),(261,1),(394,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(46,1),(52,1),(108,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(19,1),(52,1),(53,1)}
        34:{2,3,5}:{(18,1),(20,1),(48,1),(54,1)}
        35:{2,3,4,7}:{(19,1),(20,1),(53,1),(55,1),(105,1),(288,1)}
        36:{1,3,4,6}:{(20,1),(54,1),(55,1),(56,1),(106,1),(114,1),(194,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(25,1),(57,1),(58,1),(244,1),(355,1)}
        38:{1,2,5,6}:{(22,1),(57,1),(60,1),(155,1),(209,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(58,1),(60,1),(61,1),(62,1),(121,1)}
        40:{1,2,4,6}:{(23,1),(24,1),(62,1),(63,1),(217,1),(354,1),(501,1)}
        41:{1,3,4,7}:{(24,1),(61,1),(63,1),(64,1),(494,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(80,1),(125,1),(136,1),(148,1),(209,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(436,1),(440,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(70,1),(77,1),(144,1),(215,1),(312,1),(413,1)}
        45:{1,3,4,6}:{(28,1),(31,1),(71,1),(72,1),(418,1),(439,1)}
        46:{1,4,6}:{(26,1),(27,1),(66,1)}
        47:{1,3,4,5,7}:{(27,1),(28,1),(33,1),(67,1),(71,1),(74,1),(75,1),(144,1)}
        48:{2,4,5}:{(28,1),(34,1),(72,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(32,1),(70,1),(77,1),(145,1),(241,1),(336,1),(431,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(71,1),(77,1),(78,1),(314,1),(435,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(80,1),(148,1),(229,1),(234,1)}
        52:{1,3,6}:{(32,1),(33,1),(80,1)}
        53:{2,3,5,7}:{(33,1),(34,1),(35,1),(75,1),(80,1),(81,1)}
        54:{1,3,5}:{(34,1),(36,1),(76,1),(82,1)}
        55:{1,3,4,7}:{(35,1),(36,1),(81,1),(83,1),(146,1),(246,1)}
        56:{1,2,4,6}:{(36,1),(82,1),(83,1),(84,1),(155,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(42,1),(86,1),(90,1),(114,1),(195,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(403,1)}
        59:{1,2,5,6,7}:{(38,1),(85,1),(88,1),(199,1),(258,1),(298,1),(359,1),(386,1)}
        60:{1,2,4,6}:{(38,1),(39,1),(86,1),(90,1),(161,1)}
        61:{1,3,5,7}:{(39,1),(41,1),(90,1),(91,1),(92,1)}
        62:{1,2,4,5}:{(40,1),(92,1),(171,1),(306,1),(403,1)}
        63:{1,3,4,6}:{(40,1),(41,1),(90,1),(92,1),(93,1),(465,1),(469,1)}
        64:{2,3,4,7}:{(41,1),(91,1),(93,1),(94,1),(267,1),(461,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(95,1),(111,1),(165,1),(178,1),(191,1),(258,1),(386,1),(391,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(46,1),(86,1),(98,1)}
        67:{3,4,5,7}:{(43,1),(98,1),(178,1),(474,1),(477,1)}
        68:{2,3,4,5}:{(48,1),(96,1),(100,1),(186,1),(389,1),(477,1)}
        69:{1,3,4,5,6}:{(45,1),(101,1),(102,1),(107,1),(177,1),(182,1),(290,1),(297,1),(394,1),(479,1)}
        70:{1,4,6,7}:{(44,1),(46,1),(95,1),(103,1),(453,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(105,1),(453,1),(474,1)}
        72:{2,4,6}:{(45,1),(48,1),(51,1),(105,1),(106,1)}
        73:{1,4,5,6}:{(46,1),(97,1),(103,1),(107,1),(263,1)}
        74:{1,3,4,6}:{(46,1),(47,1),(52,1),(98,1),(107,1),(108,1)}
        75:{2,4,5,7}:{(47,1),(48,1),(53,1),(105,1),(108,1),(109,1),(191,1)}
        76:{1,4,5}:{(48,1),(54,1),(106,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(52,1),(111,1),(470,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(105,1),(111,1),(112,1),(191,1),(283,1),(288,1)}
        79:{1,3,5,6}:{(51,1),(54,1),(106,1),(112,1),(113,1),(114,1),(194,1),(195,1)}
        80:{2,3,6}:{(52,1),(53,1),(108,1),(114,1)}
        81:{1,3,5,7}:{(53,1),(54,1),(55,1),(109,1),(114,1),(115,1)}
        82:{1,2,5}:{(54,1),(56,1)}
        83:{1,2,4,7}:{(55,1),(56,1),(115,1),(117,1)}
        84:{1,2,3,6}:{(56,1),(116,1),(117,1),(194,1)}
        85:{1,3,5,6,7}:{(57,1),(59,1),(65,1),(118,1),(123,1),(152,1),(205,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(61,1),(67,1),(120,1),(121,1),(127,1),(205,1),(213,1)}
        88:{1,2,4,6,7}:{(59,1),(60,1),(118,1),(122,1),(123,1),(206,1),(406,1),(431,1),(481,1)}
        89:{1,2,4,5,6}:{(60,1),(62,1),(119,1),(122,1),(124,1),(209,1),(217,1),(248,1),(317,1),(344,1),(354,1),(416,1),(425,1)}
        90:{1,3,6}:{(60,1),(61,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(64,1),(121,1),(125,1),(126,1),(128,1)}
        92:{1,3,5}:{(62,1),(63,1),(128,1)}
        93:{2,3,4,6}:{(63,1),(64,1),(125,1),(128,1),(129,1),(217,1),(426,1),(430,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(322,1),(421,1)}
        95:{2,4,6,7}:{(65,1),(66,1),(70,1),(118,1),(132,1),(133,1),(436,1)}
        96:{2,3,4,6}:{(68,1),(72,1),(131,1),(134,1),(135,1),(234,1),(338,1),(439,1)}
        97:{2,4,5,6}:{(66,1),(73,1),(119,1),(132,1),(136,1),(148,1),(209,1)}
        98:{3,4,6}:{(66,1),(67,1),(136,1)}
        99:{2,3,4,5,7}:{(67,1),(68,1),(75,1),(121,1),(134,1),(137,1),(138,1),(222,1),(231,1),(238,1),(321,1),(434,1),(436,1),(440,1),(505,1),(533,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(135,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(71,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(131,1),(142,1),(143,1),(148,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(73,1),(132,1),(144,1),(312,1)}
       104:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(77,1),(133,1),(144,1),(145,1)}
       105:{2,4,7}:{(71,1),(72,1),(78,1),(146,1)}
       106:{1,4,6}:{(72,1),(76,1),(79,1),(146,1)}
       107:{1,3,5,6}:{(73,1),(74,1),(136,1),(144,1),(148,1)}
       108:{2,4,6}:{(74,1),(75,1),(80,1),(148,1),(149,1)}
       109:{1,4,5,7}:{(75,1),(76,1),(81,1),(146,1),(149,1),(244,1)}
       110:{1,2,4,5}:{(76,1),(82,1),(139,1),(147,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(80,1),(145,1),(152,1),(336,1)}
       112:{1,3,5,7}:{(78,1),(79,1),(146,1),(152,1),(153,1),(244,1),(246,1)}
       113:{1,2,5,6}:{(79,1),(82,1),(147,1),(153,1),(155,1),(229,1)}
       114:{1,3,6}:{(80,1),(81,1),(149,1),(155,1)}
       115:{1,2,5,7}:{(81,1),(82,1),(83,1),(155,1)}
       116:{1,2,3,5}:{(82,1),(84,1),(151,1),(157,1)}
       117:{1,2,3,7}:{(83,1),(84,1),(246,1)}
       118:{1,4,6,7}:{(85,1),(86,1),(95,1),(158,1),(400,1)}
       119:{1,4,5,6}:{(86,1),(97,1),(158,1),(160,1),(195,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(90,1),(98,1),(160,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(91,1),(161,1),(162,1),(171,1),(258,1),(267,1)}
       122:{1,2,4,5,7}:{(88,1),(89,1),(158,1),(164,1),(258,1),(267,1),(298,1),(364,1),(390,1),(400,1),(451,1),(460,1)}
       123:{1,3,6,7}:{(88,1),(90,1),(164,1),(165,1),(470,1)}
       124:{1,3,5,6}:{(89,1),(90,1),(92,1),(164,1),(166,1),(167,1),(394,1),(465,1)}
       125:{2,3,6}:{(90,1),(91,1),(161,1),(168,1)}
       126:{1,3,5,7}:{(91,1),(94,1),(162,1),(168,1),(169,1),(172,1)}
       127:{1,3,4,5}:{(92,1),(166,1),(171,1),(403,1),(477,1)}
       128:{2,3,5}:{(92,1),(93,1),(171,1),(172,1)}
       129:{1,3,4,6}:{(93,1),(94,1),(168,1),(172,1),(173,1),(273,1),(379,1),(384,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(173,1),(174,1)}
       131:{2,3,5,6}:{(96,1),(102,1),(176,1),(177,1),(394,1)}
       132:{2,4,5,7}:{(95,1),(97,1),(103,1),(158,1),(178,1),(191,1),(258,1)}
       133:{3,4,6,7}:{(95,1),(98,1),(178,1),(470,1),(474,1)}
       134:{2,3,4,7}:{(96,1),(105,1),(176,1),(180,1),(288,1),(388,1),(474,1)}
       135:{1,3,4,6}:{(96,1),(100,1),(106,1),(177,1),(180,1),(181,1),(194,1),(261,1),(362,1)}
       136:{3,5,6}:{(97,1),(98,1),(178,1)}
       137:{2,3,4,6}:{(98,1),(99,1),(108,1),(161,1),(183,1),(184,1),(292,1),(395,1),(473,1),(527,1),(545,1)}
       138:{1,3,4,5,7}:{(99,1),(100,1),(109,1),(162,1),(180,1),(184,1),(185,1),(197,1),(265,1),(277,1),(286,1),(373,1),(400,1),(403,1),(450,1),(453,1),(459,1),(474,1),(477,1),(544,1)}
       139:{2,4,5}:{(100,1),(181,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(105,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(106,1),(177,1),(189,1),(195,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(107,1),(178,1),(191,1)}
       145:{2,4,6,7}:{(104,1),(105,1),(108,1),(111,1),(191,1),(192,1)}
       146:{1,4,7}:{(105,1),(106,1),(112,1)}
       147:{1,2,4,6}:{(106,1),(110,1),(113,1),(181,1),(193,1),(194,1)}
       148:{2,5,6}:{(107,1),(108,1),(191,1),(195,1)}
       149:{1,4,6}:{(108,1),(109,1),(114,1),(195,1)}
       150:{1,2,4,5,7}:{(109,1),(110,1),(115,1),(185,1),(193,1),(196,1),(197,1),(203,1),(298,1),(306,1),(382,1),(400,1),(403,1),(460,1),(544,1),(546,1)}
       151:{1,3,5}:{(110,1),(186,1),(194,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(114,1),(192,1),(199,1)}
       153:{1,2,5,7}:{(112,1),(113,1),(193,1),(199,1),(283,1)}
       154:{1,2,3,5,6}:{(113,1),(116,1),(194,1),(200,1),(201,1),(202,1),(284,1),(301,1),(302,1),(306,1),(402,1),(404,1)}
       155:{1,2,6}:{(114,1),(115,1)}
       156:{1,2,3,5,7}:{(115,1),(116,1),(117,1),(197,1),(202,1),(203,1),(306,1),(468,1),(519,1),(546,1)}
       157:{1,2,4}:{(116,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(205,1),(244,1)}
       159:{1,3,4,6,7}:{(118,1),(120,1),(123,1),(133,1),(205,1),(206,1),(213,1)}
       160:{1,3,5,6}:{(119,1),(120,1),(136,1),(205,1),(209,1)}
       161:{2,4,6}:{(120,1),(121,1),(125,1),(209,1),(210,1)}
       162:{1,4,5,7}:{(121,1),(126,1),(210,1),(223,1),(312,1),(322,1)}
       163:{1,2,4,5}:{(139,1),(207,1),(212,1),(221,1),(326,1),(410,1)}
       164:{1,3,5,7}:{(122,1),(123,1),(124,1),(213,1),(214,1),(435,1),(494,1)}
       165:{2,3,6,7}:{(123,1),(125,1),(206,1),(214,1),(215,1),(481,1)}
       166:{1,3,4,6}:{(124,1),(127,1),(213,1),(217,1),(354,1),(439,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(209,1),(214,1),(217,1),(218,1),(416,1),(426,1)}
       168:{1,3,6}:{(125,1),(126,1),(210,1),(219,1)}
       169:{1,2,5,7}:{(126,1),(130,1),(219,1),(224,1)}
       170:{1,2,3,5}:{(212,1),(216,1),(221,1),(326,1)}
       171:{2,4,5}:{(127,1),(128,1),(217,1),(223,1)}
       172:{1,3,5}:{(128,1),(129,1),(223,1),(224,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(219,1),(224,1),(225,1),(333,1)}
       174:{1,2,3,7}:{(130,1),(225,1),(421,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(134,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(135,1),(143,1),(228,1),(229,1)}
       178:{3,5,7}:{(132,1),(133,1),(136,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(145,1),(206,1),(227,1),(231,1),(232,1),(321,1),(334,1),(341,1),(405,1),(433,1),(436,1),(502,1),(529,1)}
       180:{1,3,4,7}:{(134,1),(135,1),(146,1),(228,1),(233,1),(246,1),(314,1),(409,1)}
       181:{2,4,6}:{(135,1),(139,1),(229,1),(233,1),(234,1)}
       182:{3,4,5,6}:{(136,1),(230,1),(235,1),(439,1),(540,1)}
       183:{2,3,5,6}:{(136,1),(137,1),(148,1),(209,1),(231,1),(235,1),(236,1),(504,1),(540,1),(549,1)}
       184:{1,3,4,6}:{(137,1),(138,1),(149,1),(210,1),(236,1),(237,1),(249,1),(319,1),(354,1),(418,1),(439,1),(485,1),(550,1)}
       185:{2,4,5,7}:{(138,1),(139,1),(233,1),(237,1),(238,1),(331,1),(340,1),(420,1),(436,1),(440,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(234,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(146,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(147,1),(229,1),(242,1),(243,1),(248,1),(253,1),(338,1),(344,1),(354,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(148,1),(244,1)}
       192:{1,4,6,7}:{(145,1),(146,1),(149,1),(152,1),(244,1)}
       193:{1,2,4,7}:{(146,1),(147,1),(153,1),(233,1),(246,1)}
       194:{1,3,6}:{(147,1),(151,1),(234,1),(246,1)}
       195:{1,5,6}:{(148,1),(149,1),(244,1)}
       196:{1,2,4,6}:{(149,1),(150,1),(155,1),(237,1),(248,1),(249,1),(354,1),(550,1),(551,1)}
       197:{1,3,5,7}:{(150,1),(151,1),(238,1),(246,1),(249,1),(250,1),(355,1),(429,1),(494,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,5,7}:{(153,1),(154,1),(246,1),(251,1),(252,1),(337,1),(351,1),(353,1),(356,1)}
       201:{1,2,4,6}:{(154,1),(157,1),(247,1),(252,1),(253,1),(338,1),(354,1)}
       202:{1,2,3,6}:{(155,1),(156,1),(249,1),(254,1),(551,1)}
       203:{1,2,4,7}:{(156,1),(157,1),(250,1),(254,1),(501,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,5,7}:{(158,1),(159,1),(160,1),(178,1),(258,1)}
       206:{2,4,6,7}:{(159,1),(161,1),(165,1),(258,1),(259,1),(267,1)}
       207:{1,2,4,6}:{(163,1),(181,1),(256,1),(260,1),(261,1),(362,1)}
       208:{1,3,4,5,6}:{(160,1),(166,1),(182,1),(257,1),(262,1),(290,1),(369,1),(394,1),(458,1),(543,1)}
       209:{2,5,6}:{(160,1),(161,1),(258,1),(263,1)}
       210:{1,4,6}:{(161,1),(162,1),(168,1),(263,1)}
       211:{1,2,4,5,7}:{(162,1),(163,1),(169,1),(185,1),(260,1),(264,1),(265,1),(276,1),(278,1),(365,1),(374,1),(377,1),(381,1),(450,1),(453,1),(459,1)}
       212:{1,3,5}:{(163,1),(186,1),(261,1),(266,1)}
       213:{1,3,4,7}:{(164,1),(166,1),(267,1),(400,1),(474,1)}
       214:{2,3,5,7}:{(164,1),(165,1),(167,1),(258,1),(267,1),(268,1),(451,1),(461,1)}
       215:{1,3,6,7}:{(165,1),(168,1),(259,1),(268,1),(269,1)}
       216:{1,2,3,6}:{(170,1),(261,1),(270,1),(271,1)}
       217:{2,4,6}:{(166,1),(167,1),(171,1),(267,1),(273,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(172,1),(263,1),(268,1),(273,1),(274,1),(379,1)}
       219:{1,2,6}:{(168,1),(169,1)}
       220:{1,2,3,5,7}:{(169,1),(170,1),(174,1),(265,1),(270,1),(275,1),(276,1),(279,1),(377,1),(381,1)}
       221:{1,2,4}:{(170,1),(266,1)}
       222:{2,3,4,5}:{(171,1),(272,1),(277,1),(383,1),(477,1),(518,1)}
       223:{1,4,5}:{(171,1),(172,1),(273,1)}
       224:{1,2,5}:{(172,1),(173,1)}
       225:{1,2,3,6}:{(173,1),(174,1),(279,1),(379,1)}
       226:{3,5,6,7}:{(175,1),(178,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(180,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(181,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(182,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,3,5,7}:{(178,1),(179,1),(183,1),(191,1),(258,1),(285,1),(286,1),(472,1),(525,1),(542,1)}
       232:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(192,1),(259,1),(282,1),(286,1),(287,1),(299,1),(366,1),(373,1),(385,1),(400,1),(446,1),(449,1),(453,1),(470,1),(474,1),(541,1)}
       233:{2,4,7}:{(180,1),(181,1),(283,1),(288,1)}
       234:{2,3,6}:{(181,1),(186,1),(194,1),(261,1),(288,1)}
       235:{2,4,5,6}:{(182,1),(183,1),(285,1),(290,1),(395,1)}
       236:{1,3,5,6}:{(183,1),(184,1),(195,1),(263,1),(286,1),(290,1),(291,1),(394,1),(512,1),(552,1)}
       237:{2,4,6}:{(184,1),(185,1),(291,1),(292,1)}
       238:{2,3,5,7}:{(185,1),(186,1),(197,1),(265,1),(288,1),(292,1),(293,1),(383,1),(396,1),(461,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(193,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(194,1),(284,1),(296,1),(297,1),(301,1),(394,1),(402,1)}
       244:{1,5,7}:{(191,1),(192,1),(195,1)}
       245:{1,2,4,6,7}:{(192,1),(193,1),(196,1),(199,1),(287,1),(298,1),(299,1),(400,1),(460,1),(508,1),(541,1)}
       246:{1,3,7}:{(193,1),(194,1),(288,1)}
       247:{1,3,4,6}:{(194,1),(198,1),(201,1),(289,1),(300,1),(301,1),(402,1)}
       248:{1,2,5,6}:{(195,1),(196,1),(291,1),(298,1),(302,1),(306,1),(552,1)}
       249:{1,3,6}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,7}:{(197,1),(198,1),(203,1),(293,1),(303,1),(400,1),(469,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(299,1),(304,1),(387,1),(402,1),(519,1)}
       252:{1,2,4,7}:{(200,1),(201,1),(300,1),(388,1),(400,1)}
       253:{1,2,4,5}:{(201,1),(301,1),(306,1),(389,1),(403,1)}
       254:{1,2,4,6}:{(202,1),(203,1),(303,1),(306,1)}
       255:{1,3,5,6,7}:{(204,1),(205,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(207,1),(229,1),(309,1),(310,1),(326,1),(424,1)}
       257:{1,3,4,5,7}:{(205,1),(208,1),(213,1),(230,1),(307,1),(311,1),(339,1),(411,1),(435,1),(488,1),(530,1)}
       258:{2,5,7}:{(205,1),(206,1),(209,1),(312,1)}
       259:{1,4,6,7}:{(206,1),(210,1),(215,1),(312,1),(322,1)}
       260:{1,2,4,7}:{(207,1),(233,1),(309,1),(314,1),(409,1)}
       261:{1,3,6}:{(207,1),(212,1),(234,1),(314,1)}
       262:{2,4,5,6}:{(208,1),(209,1),(217,1),(311,1),(316,1),(317,1),(416,1),(492,1),(549,1)}
       263:{1,5,6}:{(209,1),(210,1),(312,1)}
       264:{1,2,4,6}:{(210,1),(211,1),(219,1),(237,1),(318,1),(319,1),(418,1),(424,1),(485,1)}
       265:{1,3,5,7}:{(211,1),(212,1),(238,1),(314,1),(319,1),(320,1),(332,1),(419,1),(421,1)}
       266:{1,3,4}:{(212,1),(221,1),(239,1)}
       267:{2,4,7}:{(213,1),(214,1),(217,1),(322,1)}
       268:{1,3,5,7}:{(214,1),(215,1),(218,1),(312,1),(322,1),(323,1),(421,1)}
       269:{1,2,6,7}:{(215,1),(219,1),(323,1),(481,1)}
       270:{1,2,3,7}:{(216,1),(314,1),(325,1)}
       271:{1,2,4,6}:{(216,1),(221,1),(315,1),(325,1),(326,1),(424,1)}
       272:{2,3,4,6}:{(217,1),(222,1),(316,1),(321,1),(327,1),(426,1),(439,1),(492,1)}
       273:{1,4,6}:{(217,1),(218,1),(223,1),(322,1)}
       274:{1,2,5,6}:{(218,1),(219,1),(224,1),(323,1),(328,1),(416,1)}
       275:{1,2,3,6}:{(219,1),(220,1),(319,1),(330,1),(424,1)}
       276:{1,2,4,7}:{(220,1),(221,1),(320,1),(330,1),(333,1)}
       277:{1,3,4,5}:{(222,1),(223,1),(327,1),(331,1),(332,1),(429,1),(535,1)}
       278:{1,2,4,5}:{(223,1),(224,1),(328,1),(331,1),(332,1),(333,1)}
       279:{1,2,3,5}:{(224,1),(225,1),(332,1),(333,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(231,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(233,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(234,1),(243,1),(310,1),(337,1),(338,1),(343,1),(438,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(235,1),(334,1),(339,1),(436,1)}
       286:{1,3,5,7}:{(231,1),(232,1),(236,1),(244,1),(312,1),(339,1),(340,1),(435,1),(484,1),(548,1)}
       287:{2,4,6,7}:{(232,1),(233,1),(237,1),(336,1),(340,1),(341,1),(420,1),(436,1),(481,1)}
       288:{2,3,7}:{(233,1),(234,1),(246,1),(314,1)}
       289:{2,3,4,6}:{(234,1),(239,1),(247,1),(315,1),(338,1),(342,1),(343,1),(438,1)}
       290:{1,4,5,6}:{(235,1),(236,1),(339,1),(344,1),(354,1),(418,1)}
       291:{2,5,6}:{(236,1),(237,1),(340,1)}
       292:{2,3,6}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,7}:{(238,1),(239,1),(250,1),(320,1),(346,1),(430,1),(436,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(246,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(354,1),(439,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(248,1),(340,1),(351,1),(548,1)}
       299:{1,3,6,7}:{(245,1),(246,1),(249,1),(341,1),(351,1),(494,1)}
       300:{1,3,4,7}:{(246,1),(247,1),(252,1),(342,1),(353,1)}
       301:{1,3,5}:{(247,1),(253,1),(343,1)}
       302:{1,3,5,6}:{(248,1),(249,1),(345,1),(351,1),(354,1),(355,1)}
       303:{1,3,4,6}:{(249,1),(250,1),(254,1),(346,1),(354,1),(355,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(254,1),(352,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,4,5,7}:{(252,1),(253,1),(353,1),(356,1),(357,1),(434,1),(444,1)}
       306:{1,2,5}:{(254,1),(355,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(258,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(260,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(261,1),(284,1),(361,1),(362,1),(368,1),(455,1),(512,1)}
       311:{2,4,5,7}:{(257,1),(258,1),(262,1),(267,1),(358,1),(363,1),(364,1),(451,1),(514,1),(542,1)}
       312:{1,5,7}:{(258,1),(259,1),(263,1)}
       313:{1,2,4,6,7}:{(259,1),(260,1),(264,1),(269,1),(287,1),(360,1),(365,1),(366,1),(374,1),(449,1),(453,1)}
       314:{1,3,7}:{(260,1),(261,1),(288,1)}
       315:{1,3,4,6}:{(261,1),(266,1),(271,1),(289,1),(362,1),(367,1),(368,1),(455,1)}
       316:{2,3,5,6}:{(262,1),(272,1),(363,1),(369,1),(394,1)}
       317:{1,4,5,6}:{(262,1),(263,1),(273,1),(364,1),(369,1),(517,1),(552,1)}
       318:{1,2,5,6}:{(263,1),(264,1),(291,1),(365,1),(371,1),(381,1),(512,1)}
       319:{1,3,6}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,7}:{(265,1),(266,1),(276,1),(293,1),(372,1),(384,1),(453,1)}
       321:{2,3,4,7}:{(267,1),(272,1),(363,1),(373,1),(461,1),(474,1),(514,1)}
       322:{1,4,7}:{(267,1),(268,1),(273,1)}
       323:{1,2,5,7}:{(268,1),(269,1),(274,1),(374,1),(451,1)}
       324:{1,2,3,6,7}:{(269,1),(270,1),(275,1),(366,1),(375,1),(376,1),(509,1),(522,1)}
       325:{1,2,4,7}:{(270,1),(271,1),(367,1),(377,1)}
       326:{1,2,5}:{(271,1),(368,1)}
       327:{1,3,4,6}:{(272,1),(273,1),(277,1),(369,1),(373,1),(378,1),(379,1),(465,1),(517,1)}
       328:{1,2,4,6}:{(273,1),(274,1),(278,1),(374,1),(378,1),(379,1)}
       329:{1,2,3,5,6}:{(274,1),(275,1),(279,1),(371,1),(375,1),(379,1),(380,1),(381,1),(457,1),(464,1),(467,1),(522,1)}
       330:{1,2,4,6}:{(275,1),(276,1),(372,1),(381,1)}
       331:{2,4,5}:{(277,1),(378,1),(383,1)}
       332:{1,3,5}:{(278,1),(379,1),(383,1),(384,1)}
       333:{1,2,4}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(286,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(288,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(290,1),(385,1),(390,1),(400,1),(453,1)}
       340:{2,5,7}:{(286,1),(287,1),(291,1)}
       341:{2,3,6,7}:{(287,1),(288,1),(292,1),(299,1),(366,1),(391,1),(461,1),(470,1)}
       342:{2,3,4,7}:{(288,1),(289,1),(300,1),(367,1),(388,1),(393,1)}
       343:{2,3,5}:{(289,1),(301,1),(368,1),(389,1)}
       344:{2,4,5,6}:{(290,1),(291,1),(390,1),(394,1),(395,1)}
       345:{2,3,5,6}:{(291,1),(292,1),(302,1),(371,1),(391,1),(394,1),(395,1),(396,1)}
       346:{2,3,4,6}:{(292,1),(293,1),(303,1),(372,1),(395,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(402,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(301,1),(389,1),(403,1),(477,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(302,1),(391,1),(400,1)}
       352:{1,3,4,6,7}:{(299,1),(300,1),(303,1),(304,1),(392,1),(400,1),(401,1),(402,1),(480,1),(520,1),(541,1),(547,1)}
       353:{1,3,5,7}:{(300,1),(301,1),(305,1),(393,1),(402,1)}
       354:{1,4,6}:{(302,1),(395,1),(400,1),(403,1)}
       355:{1,3,5}:{(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(306,1),(401,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(305,1),(402,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(311,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(312,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(424,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(314,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(316,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,4,5,7}:{(311,1),(312,1),(317,1),(322,1),(406,1),(411,1),(532,1),(548,1)}
       365:{1,2,5,7}:{(312,1),(313,1),(318,1),(340,1),(413,1),(484,1)}
       366:{1,3,6,7}:{(313,1),(314,1),(319,1),(341,1),(413,1),(421,1)}
       367:{1,3,4,7}:{(314,1),(315,1),(325,1),(342,1),(409,1),(415,1)}
       368:{1,3,5}:{(315,1),(326,1),(343,1),(410,1)}
       369:{1,3,5,6}:{(316,1),(317,1),(327,1),(411,1),(416,1)}
       370:{1,2,4,5,6}:{(317,1),(318,1),(328,1),(344,1),(412,1),(416,1),(417,1),(418,1),(428,1),(492,1),(497,1),(531,1),(549,1)}
       371:{1,3,5,6}:{(318,1),(319,1),(345,1),(413,1),(418,1),(419,1)}
       372:{1,3,4,6}:{(319,1),(320,1),(330,1),(346,1),(418,1),(419,1)}
       373:{1,3,4,7}:{(321,1),(322,1),(327,1),(411,1),(420,1),(421,1),(494,1),(532,1)}
       374:{1,2,4,7}:{(322,1),(323,1),(328,1),(420,1),(421,1)}
       375:{1,2,3,5,7}:{(323,1),(324,1),(329,1),(413,1),(421,1),(422,1),(423,1),(487,1),(496,1)}
       376:{1,2,4,6,7}:{(324,1),(325,1),(330,1),(414,1),(422,1),(423,1),(424,1),(497,1),(529,1)}
       377:{1,2,5,7}:{(325,1),(326,1),(415,1),(424,1)}
       378:{2,4,6}:{(327,1),(331,1),(416,1),(420,1),(426,1)}
       379:{1,3,6}:{(328,1),(332,1),(421,1),(426,1)}
       380:{1,2,4,6}:{(329,1),(333,1),(418,1),(422,1),(427,1),(428,1),(492,1)}
       381:{1,2,5}:{(330,1),(419,1)}
       382:{1,2,4,5}:{(331,1),(425,1),(429,1),(501,1),(535,1),(539,1)}
       383:{2,3,5}:{(331,1),(332,1),(426,1),(429,1),(430,1)}
       384:{1,3,4}:{(332,1),(333,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(340,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(438,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(343,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(344,1),(431,1),(435,1),(436,1)}
       391:{2,3,5,7}:{(340,1),(341,1),(345,1),(351,1),(413,1),(435,1),(436,1)}
       392:{2,3,4,6,7}:{(341,1),(342,1),(346,1),(352,1),(414,1),(433,1),(436,1),(437,1),(438,1),(495,1),(502,1),(506,1),(529,1),(538,1)}
       393:{2,3,5,7}:{(342,1),(343,1),(353,1),(415,1),(434,1),(438,1)}
       394:{3,5,6}:{(344,1),(435,1),(439,1)}
       395:{2,4,6}:{(345,1),(354,1),(418,1),(436,1),(439,1),(440,1)}
       396:{2,3,5}:{(346,1),(355,1),(419,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(353,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(354,1),(436,1)}
       401:{1,3,5,7}:{(352,1),(355,1),(356,1),(437,1),(444,1),(445,1),(548,1)}
       402:{1,3,6}:{(353,1),(357,1),(438,1)}
       403:{1,4,5}:{(354,1),(355,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(364,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(365,1),(386,1),(447,1),(448,1),(464,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(455,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(368,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(369,1),(373,1),(446,1),(451,1)}
       412:{1,2,4,5,7}:{(364,1),(365,1),(370,1),(374,1),(390,1),(447,1),(451,1),(452,1),(453,1),(511,1),(514,1),(542,1)}
       413:{1,3,5,7}:{(365,1),(366,1),(371,1),(391,1),(453,1)}
       414:{1,3,4,6,7}:{(366,1),(367,1),(372,1),(376,1),(392,1),(449,1),(453,1),(454,1),(455,1),(462,1),(516,1),(522,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(377,1),(393,1),(450,1),(455,1)}
       416:{2,5,6}:{(369,1),(378,1),(451,1)}
       417:{1,3,5,6}:{(370,1),(379,1),(394,1),(452,1),(457,1),(458,1),(467,1),(522,1)}
       418:{1,4,6}:{(371,1),(395,1),(453,1),(459,1)}
       419:{1,3,5}:{(372,1),(381,1),(396,1),(459,1)}
       420:{2,4,7}:{(373,1),(378,1),(451,1),(461,1)}
       421:{1,3,7}:{(374,1),(379,1),(461,1)}
       422:{1,2,4,7}:{(375,1),(380,1),(453,1),(462,1),(514,1)}
       423:{1,2,5,7}:{(376,1),(381,1),(454,1),(464,1),(542,1)}
       424:{1,2,6}:{(377,1),(455,1)}
       425:{1,2,4,6}:{(378,1),(382,1),(456,1),(460,1),(465,1),(517,1)}
       426:{2,3,6}:{(378,1),(379,1),(383,1),(461,1),(465,1)}
       427:{1,3,4,6}:{(379,1),(380,1),(384,1),(462,1),(466,1),(467,1),(522,1)}
       428:{1,2,4,5}:{(380,1),(381,1),(459,1),(467,1),(518,1)}
       429:{1,3,5}:{(382,1),(383,1),(465,1),(469,1)}
       430:{2,3,4}:{(383,1),(384,1),(469,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(391,1),(397,1),(448,1),(470,1),(471,1),(472,1),(476,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(393,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(394,1),(470,1),(474,1)}
       436:{2,4,7}:{(391,1),(395,1),(400,1),(453,1),(474,1)}
       437:{2,3,5,7}:{(392,1),(396,1),(401,1),(454,1),(472,1),(475,1),(476,1),(525,1),(542,1)}
       438:{2,3,6}:{(393,1),(402,1),(455,1),(473,1)}
       439:{3,4,6}:{(394,1),(395,1),(474,1),(477,1)}
       440:{2,4,5}:{(395,1),(396,1),(403,1),(459,1),(477,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(402,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(403,1),(475,1),(480,1)}
       445:{1,3,5,6}:{(401,1),(402,1),(404,1),(476,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(412,1),(431,1),(481,1),(482,1),(483,1),(497,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(413,1),(432,1),(482,1),(483,1),(484,1),(490,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(415,1),(434,1),(484,1),(485,1)}
       451:{2,5,7}:{(411,1),(416,1),(420,1),(481,1)}
       452:{1,3,5,7}:{(412,1),(417,1),(421,1),(435,1),(482,1),(487,1),(488,1)}
       453:{1,4,7}:{(413,1),(418,1),(436,1)}
       454:{1,3,5,7}:{(414,1),(419,1),(423,1),(437,1),(484,1),(489,1),(490,1)}
       455:{1,3,6}:{(415,1),(424,1),(438,1),(485,1)}
       456:{1,2,5,6}:{(416,1),(425,1),(486,1),(491,1),(539,1),(551,1)}
       457:{2,3,5,6}:{(416,1),(417,1),(426,1),(487,1),(491,1),(492,1),(500,1),(538,1),(549,1)}
       458:{1,3,4,6}:{(417,1),(418,1),(439,1),(488,1),(492,1),(493,1)}
       459:{1,4,5}:{(418,1),(419,1),(440,1)}
       460:{1,2,4,7}:{(420,1),(425,1),(486,1),(494,1),(532,1)}
       461:{2,3,7}:{(420,1),(421,1),(426,1),(494,1)}
       462:{1,3,4,7}:{(421,1),(422,1),(427,1),(495,1),(496,1)}
       463:{1,2,4,5,7}:{(422,1),(423,1),(428,1),(489,1),(496,1),(497,1),(533,1)}
       464:{1,2,5,6}:{(423,1),(424,1),(490,1),(497,1),(549,1)}
       465:{1,3,6}:{(425,1),(426,1),(429,1),(494,1)}
       466:{2,3,4,6}:{(426,1),(427,1),(430,1),(492,1),(495,1),(499,1),(500,1),(538,1)}
       467:{1,3,5}:{(427,1),(428,1),(500,1)}
       468:{1,2,3,5}:{(429,1),(498,1),(501,1),(539,1)}
       469:{1,3,4}:{(429,1),(430,1),(501,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(436,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(438,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(439,1)}
       475:{2,4,5,7}:{(436,1),(437,1),(440,1),(444,1),(489,1),(505,1),(506,1)}
       476:{2,3,5,6}:{(437,1),(438,1),(445,1),(490,1),(504,1),(506,1),(538,1),(540,1),(549,1)}
       477:{3,4,5}:{(439,1),(440,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(451,1)}
       482:{1,3,6,7}:{(447,1),(452,1),(470,1),(509,1),(522,1)}
       483:{1,4,6,7}:{(448,1),(453,1),(471,1),(511,1),(516,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(455,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(456,1),(460,1),(508,1),(513,1)}
       487:{2,3,5,7}:{(451,1),(452,1),(457,1),(461,1),(509,1),(513,1),(514,1),(542,1)}
       488:{1,3,4,7}:{(452,1),(453,1),(458,1),(474,1),(514,1)}
       489:{1,4,5,7}:{(453,1),(454,1),(459,1),(475,1),(516,1)}
       490:{1,3,5,6}:{(454,1),(455,1),(464,1),(476,1),(512,1),(516,1),(522,1)}
       491:{1,3,5,6}:{(456,1),(457,1),(465,1),(513,1),(517,1),(524,1),(547,1),(552,1)}
       492:{2,4,6}:{(457,1),(458,1),(514,1),(517,1),(518,1)}
       493:{1,3,4,5}:{(458,1),(459,1),(467,1),(477,1),(518,1)}
       494:{1,3,7}:{(460,1),(461,1),(465,1)}
       495:{2,3,4,7}:{(461,1),(462,1),(466,1),(514,1),(520,1),(521,1)}
       496:{1,3,5,7}:{(462,1),(463,1),(467,1),(521,1),(522,1)}
       497:{1,2,4,6}:{(463,1),(464,1),(516,1),(522,1),(545,1)}
       498:{1,2,3,6}:{(465,1),(468,1),(519,1),(523,1)}
       499:{1,3,4,6}:{(465,1),(466,1),(469,1),(517,1),(520,1),(523,1),(524,1),(547,1)}
       500:{2,3,5}:{(466,1),(467,1),(518,1),(524,1)}
       501:{1,2,4}:{(468,1),(469,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(477,1),(525,1),(527,1)}
       506:{2,4,6}:{(475,1),(476,1),(480,1),(516,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(487,1),(528,1),(529,1),(538,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(488,1),(502,1),(529,1),(530,1),(534,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(491,1),(494,1),(528,1),(532,1),(548,1)}
       514:{2,4,7}:{(487,1),(488,1),(492,1),(532,1)}
       515:{1,3,4,5,7}:{(488,1),(489,1),(493,1),(496,1),(505,1),(530,1),(533,1),(534,1)}
       516:{1,4,6}:{(489,1),(490,1),(506,1)}
       517:{1,4,6}:{(491,1),(492,1),(532,1),(535,1)}
       518:{2,4,5}:{(492,1),(493,1),(500,1),(535,1)}
       519:{1,2,3,7}:{(494,1),(498,1),(536,1)}
       520:{1,3,4,7}:{(494,1),(495,1),(499,1),(532,1),(536,1),(537,1)}
       521:{2,3,5,7}:{(495,1),(496,1),(500,1),(533,1),(537,1),(538,1)}
       522:{1,3,6}:{(496,1),(497,1),(538,1)}
       523:{1,2,4,6}:{(498,1),(499,1),(501,1),(536,1),(539,1),(551,1)}
       524:{1,3,5}:{(499,1),(500,1),(535,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(514,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(516,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(517,1)}
       533:{2,4,5,7}:{(514,1),(515,1),(518,1),(521,1),(542,1),(544,1),(545,1)}
       534:{1,3,4,6}:{(515,1),(516,1),(522,1),(527,1),(543,1),(545,1)}
       535:{1,4,5}:{(517,1),(518,1),(524,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(523,1),(546,1)}
       537:{1,3,5,7}:{(520,1),(521,1),(524,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(522,1),(545,1),(547,1)}
       539:{1,2,5}:{(523,1),(524,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(534,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(535,1),(537,1),(548,1),(550,1)}
       545:{2,4,6}:{(533,1),(534,1),(538,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(539,1),(551,1)}
       547:{1,3,6}:{(537,1),(538,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

2004 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(32,1),(36,1),(39,1),(63,1),(138,1),(234,1),(238,1),(243,1),(351,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(46,1),(94,1),(401,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(56,1),(291,1),(295,1),(400,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(36,1),(135,1),(238,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(25,1),(243,1),(352,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(77,1),(444,1)}
         6:{1,2,3,6,7}:{(2,1),(12,1),(36,1),(88,1),(138,1),(346,1),(350,1),(389,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(46,1),(57,1),(97,1),(194,1)}
         8:{1,3,5}:{(3,1),(4,1),(16,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(17,1),(19,1),(295,1)}
        10:{1,2,4,5,6}:{(4,1),(18,1),(21,1),(22,1),(46,1),(107,1),(119,1),(121,1),(185,1),(191,1),(299,1),(314,1),(401,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(47,1),(61,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(22,1),(23,1),(118,1),(187,1),(338,1),(434,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(26,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(158,1)}
        15:{1,3,4,6}:{(7,1),(28,1),(30,1),(31,1),(71,1),(75,1),(86,1),(158,1)}
        16:{2,3,5}:{(7,1),(8,1),(25,1),(30,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(31,1),(33,1),(77,1),(252,1)}
        18:{1,3,5,6}:{(8,1),(10,1),(26,1),(32,1),(35,1),(36,1),(238,1),(369,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,4,6,7}:{(9,1),(12,1),(34,1),(36,1),(37,1),(92,1),(240,1),(283,1),(350,1),(387,1),(390,1),(444,1)}
        21:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(77,1),(155,1),(167,1),(169,1),(241,1),(249,1),(353,1),(368,1),(444,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(39,1),(78,1),(92,1)}
        23:{1,2,5,7}:{(12,1),(37,1),(39,1),(167,1),(243,1)}
        24:{1,2,3,5}:{(14,1),(43,1),(50,1),(110,1)}
        25:{2,4,5}:{(13,1),(16,1),(45,1),(46,1)}
        26:{1,3,4,6}:{(13,1),(18,1),(46,1),(48,1),(401,1),(415,1)}
        27:{1,3,4,5,7}:{(13,1),(19,1),(47,1),(48,1),(49,1),(61,1),(120,1),(131,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(43,1),(50,1),(51,1),(123,1)}
        29:{1,2,3,7}:{(14,1),(51,1),(213,1)}
        30:{1,3,5}:{(15,1),(16,1),(45,1),(50,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(51,1),(54,1),(116,1),(213,1)}
        32:{2,3,5,6}:{(16,1),(18,1),(46,1),(53,1),(56,1),(57,1),(119,1),(191,1),(194,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(47,1),(54,1),(57,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(55,1),(57,1),(58,1),(118,1),(130,1),(196,1),(227,1),(231,1),(310,1),(336,1),(339,1),(414,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(48,1),(56,1),(59,1),(295,1),(417,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(58,1),(60,1),(61,1),(297,1),(432,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(59,1),(62,1),(118,1),(132,1),(210,1),(307,1),(412,1)}
        39:{1,2,5,6}:{(22,1),(23,1),(60,1),(119,1),(434,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(65,1),(142,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(74,1),(81,1),(150,1),(158,1),(163,1),(246,1),(264,1),(267,1),(271,1)}
        42:{1,3,4,5,6}:{(26,1),(69,1),(70,1),(80,1),(140,1),(258,1),(260,1),(261,1),(369,1),(373,1)}
        43:{1,2,4}:{(24,1),(71,1)}
        44:{1,2,3,5,7}:{(24,1),(29,1),(73,1),(74,1),(82,1),(159,1),(163,1),(510,1),(511,1),(517,1)}
        45:{1,4,5}:{(25,1),(30,1),(75,1)}
        46:{2,4,6}:{(25,1),(26,1),(32,1),(75,1),(77,1)}
        47:{2,4,5,7}:{(25,1),(27,1),(33,1),(76,1),(77,1),(78,1),(167,1)}
        48:{1,3,4,7}:{(26,1),(35,1),(77,1),(444,1),(457,1)}
        49:{1,3,4,6}:{(27,1),(36,1),(78,1),(80,1),(92,1),(178,1)}
        50:{1,2,5}:{(28,1),(30,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(31,1),(82,1)}
        52:{1,2,3,6,7}:{(29,1),(74,1),(83,1),(84,1),(270,1),(281,1),(386,1),(546,1)}
        53:{1,3,5,6}:{(30,1),(32,1),(75,1),(81,1),(85,1),(86,1),(158,1),(166,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(76,1),(82,1),(86,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(83,1),(86,1),(87,1),(160,1),(165,1),(173,1),(175,1),(270,1),(281,1),(377,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(77,1),(85,1),(88,1),(167,1),(249,1),(252,1)}
        57:{2,3,6}:{(33,1),(36,1),(78,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(87,1),(89,1),(90,1),(167,1),(254,1),(279,1),(384,1)}
        59:{1,3,6,7}:{(35,1),(36,1),(38,1),(88,1),(455,1)}
        60:{1,3,5,6}:{(36,1),(37,1),(39,1),(89,1),(92,1),(385,1),(387,1)}
        61:{1,4,5,7}:{(37,1),(90,1),(92,1),(352,1),(444,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(91,1),(167,1),(268,1),(353,1),(362,1),(471,1)}
        63:{1,2,3,5}:{(93,1),(94,1),(180,1),(183,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(99,1),(110,1),(183,1),(287,1)}
        65:{2,3,4,6}:{(40,1),(46,1),(96,1),(99,1),(101,1),(194,1),(302,1),(415,1)}
        66:{2,3,4,5,7}:{(40,1),(47,1),(100,1),(101,1),(102,1),(131,1),(195,1),(201,1),(230,1),(303,1),(312,1),(411,1),(414,1),(416,1),(476,1),(493,1)}
        67:{1,2,4,6}:{(41,1),(43,1),(103,1),(104,1),(105,1),(302,1),(327,1)}
        68:{1,2,3,5,7}:{(41,1),(105,1),(106,1),(122,1),(205,1),(209,1),(213,1),(304,1),(326,1)}
        69:{2,4,5,6}:{(42,1),(46,1),(96,1),(107,1),(108,1),(119,1),(191,1),(302,1),(408,1)}
        70:{1,3,4,5,7}:{(42,1),(48,1),(108,1),(109,1),(120,1),(192,1),(315,1),(317,1),(318,1),(417,1),(421,1)}
        71:{1,3,4}:{(43,1),(97,1),(110,1)}
        72:{1,2,4,5}:{(43,1),(45,1),(50,1),(98,1),(110,1),(112,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(111,1),(114,1),(537,1)}
        74:{1,2,3,6}:{(44,1),(114,1),(123,1),(214,1),(532,1)}
        75:{1,4,6}:{(45,1),(46,1),(53,1),(116,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(54,1),(116,1),(117,1),(220,1)}
        77:{2,4,7}:{(46,1),(48,1),(56,1),(116,1)}
        78:{2,4,6}:{(47,1),(49,1),(57,1),(117,1),(119,1)}
        79:{1,3,4,6,7}:{(48,1),(49,1),(59,1),(118,1),(120,1),(132,1),(231,1)}
        80:{1,3,5,6}:{(49,1),(119,1),(120,1),(121,1),(223,1)}
        81:{1,2,5,6}:{(50,1),(53,1),(112,1),(122,1),(123,1),(191,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(54,1),(123,1)}
        83:{1,2,4,6,7}:{(51,1),(52,1),(55,1),(114,1),(123,1),(124,1),(125,1),(225,1),(339,1)}
        84:{1,2,3,5,7}:{(52,1),(115,1),(124,1),(125,1),(226,1),(326,1),(428,1),(536,1),(552,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(116,1),(122,1),(126,1),(213,1),(220,1)}
        86:{1,3,6}:{(54,1),(57,1),(117,1),(123,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(124,1),(127,1),(128,1),(215,1),(220,1)}
        88:{2,3,6,7}:{(56,1),(57,1),(59,1),(118,1),(126,1),(307,1)}
        89:{2,3,5,6}:{(57,1),(58,1),(60,1),(119,1),(127,1),(130,1),(223,1),(334,1),(336,1)}
        90:{2,4,5,7}:{(58,1),(61,1),(128,1),(130,1),(131,1),(312,1),(414,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(120,1),(129,1),(132,1),(400,1),(432,1),(433,1)}
        92:{1,4,6}:{(60,1),(61,1),(130,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(238,1)}
        94:{1,2,4}:{(63,1),(135,1)}
        95:{1,2,3,5,7}:{(63,1),(134,1),(137,1),(138,1),(235,1),(239,1),(243,1),(388,1),(389,1),(470,1)}
        96:{2,3,5,6}:{(65,1),(69,1),(140,1),(141,1),(369,1)}
        97:{2,3,4}:{(71,1),(135,1),(142,1)}
        98:{2,4,5}:{(64,1),(142,1),(144,1)}
        99:{1,3,4,6}:{(64,1),(65,1),(75,1),(140,1),(144,1),(146,1),(158,1),(238,1),(341,1)}
       100:{1,3,4,5,7}:{(64,1),(66,1),(76,1),(145,1),(146,1),(147,1),(159,1),(239,1),(257,1),(272,1),(286,1),(342,1),(352,1),(367,1),(377,1),(444,1),(457,1),(459,1),(507,1),(520,1)}
       101:{2,3,4,7}:{(65,1),(77,1),(141,1),(146,1),(252,1),(357,1),(457,1)}
       102:{2,3,4,6}:{(66,1),(78,1),(147,1),(149,1),(178,1),(253,1),(285,1),(358,1),(366,1),(454,1),(506,1)}
       103:{1,3,4,6}:{(67,1),(71,1),(139,1),(150,1),(151,1),(158,1),(264,1)}
       104:{1,2,4,5}:{(67,1),(150,1),(163,1),(245,1),(272,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(151,1),(357,1),(377,1)}
       106:{1,2,3,6,7}:{(68,1),(74,1),(154,1),(170,1),(264,1),(270,1),(359,1),(511,1)}
       107:{1,4,5,6}:{(69,1),(75,1),(140,1),(155,1),(166,1),(341,1),(436,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(77,1),(141,1),(155,1),(156,1),(167,1),(249,1),(357,1),(451,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(363,1),(364,1),(455,1)}
       110:{1,3,5}:{(71,1),(72,1),(142,1),(158,1)}
       111:{1,3,4,7}:{(71,1),(73,1),(143,1),(159,1),(160,1),(377,1),(549,1)}
       112:{1,2,4,6}:{(72,1),(75,1),(81,1),(144,1),(158,1),(161,1)}
       113:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(82,1),(145,1),(159,1),(161,1),(162,1),(163,1),(272,1),(273,1),(377,1),(507,1),(510,1),(514,1),(547,1)}
       114:{1,2,4,6}:{(73,1),(74,1),(160,1),(163,1)}
       115:{1,2,3,5,6}:{(74,1),(84,1),(163,1),(164,1),(171,1),(271,1),(275,1),(281,1),(381,1),(516,1),(517,1),(548,1)}
       116:{1,4,7}:{(75,1),(77,1),(85,1)}
       117:{1,4,6}:{(76,1),(78,1),(86,1),(166,1)}
       118:{2,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(165,1),(167,1)}
       119:{2,5,6}:{(78,1),(80,1),(166,1),(167,1)}
       120:{1,3,5,7}:{(79,1),(80,1),(167,1),(169,1),(279,1)}
       121:{1,4,5,6}:{(80,1),(92,1),(168,1),(169,1),(385,1)}
       122:{1,2,5,7}:{(81,1),(85,1),(161,1),(170,1),(249,1)}
       123:{1,2,6}:{(82,1),(86,1)}
       124:{1,2,5,7}:{(83,1),(87,1),(163,1),(171,1),(384,1)}
       125:{1,2,4,7}:{(84,1),(164,1),(173,1),(377,1),(465,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(88,1),(165,1),(170,1)}
       127:{1,3,5,6}:{(86,1),(87,1),(89,1),(166,1),(171,1),(175,1),(281,1)}
       128:{1,4,5,7}:{(87,1),(90,1),(175,1),(272,1),(377,1)}
       129:{2,3,5,6,7}:{(88,1),(89,1),(91,1),(167,1),(174,1),(177,1),(279,1),(362,1),(365,1),(384,1),(386,1),(455,1)}
       130:{2,4,6}:{(89,1),(90,1),(92,1),(175,1),(178,1)}
       131:{3,4,5,7}:{(90,1),(178,1),(279,1),(367,1),(457,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(177,1),(444,1)}
       133:{1,2,4,6}:{(93,1),(94,1),(179,1),(180,1),(181,1),(292,1)}
       134:{1,2,3,7}:{(93,1),(181,1),(295,1)}
       135:{1,3,4}:{(94,1),(97,1),(183,1)}
       136:{1,2,4,5}:{(94,1),(98,1),(180,1),(183,1),(185,1),(287,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(184,1),(187,1),(502,1)}
       138:{1,2,3,6}:{(95,1),(187,1),(292,1),(296,1),(434,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(194,1),(302,1),(305,1)}
       140:{1,3,5,6}:{(96,1),(99,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(101,1),(108,1),(192,1),(193,1),(417,1)}
       142:{2,3,5}:{(97,1),(98,1),(110,1),(183,1),(194,1)}
       143:{2,3,4,7}:{(97,1),(111,1),(184,1),(195,1),(196,1),(414,1),(541,1)}
       144:{2,4,6}:{(98,1),(99,1),(191,1),(194,1),(197,1)}
       145:{2,4,5,7}:{(98,1),(100,1),(195,1),(197,1),(198,1),(312,1),(313,1),(414,1),(495,1),(539,1)}
       146:{1,3,4,7}:{(99,1),(101,1),(116,1),(192,1),(197,1),(213,1),(295,1),(391,1)}
       147:{1,3,4,6}:{(100,1),(102,1),(117,1),(198,1),(200,1),(214,1),(296,1),(327,1),(340,1),(392,1),(401,1),(415,1),(530,1)}
       148:{2,3,4,6,7}:{(101,1),(102,1),(118,1),(193,1),(199,1),(201,1),(231,1),(309,1),(310,1),(339,1),(407,1),(414,1),(490,1),(491,1),(493,1),(529,1)}
       149:{2,3,5,6}:{(102,1),(119,1),(200,1),(201,1),(202,1),(223,1),(334,1),(408,1),(489,1),(528,1)}
       150:{1,3,5}:{(103,1),(104,1),(189,1)}
       151:{1,3,4,7}:{(103,1),(105,1),(190,1),(205,1),(213,1)}
       152:{1,2,4,5,6}:{(104,1),(107,1),(112,1),(191,1),(204,1),(207,1),(208,1),(217,1),(302,1),(314,1),(327,1),(408,1),(422,1)}
       153:{1,2,4,5,7}:{(104,1),(105,1),(205,1),(208,1),(209,1),(303,1),(322,1)}
       154:{1,2,4,6,7}:{(105,1),(106,1),(114,1),(206,1),(208,1),(209,1),(407,1),(480,1),(532,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(116,1),(192,1),(210,1),(220,1),(391,1),(472,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(307,1)}
       157:{1,3,5,6,7}:{(109,1),(120,1),(211,1),(212,1),(325,1),(421,1)}
       158:{1,3,6}:{(110,1),(112,1),(194,1),(213,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(113,1),(195,1),(213,1),(214,1),(215,1),(535,1),(552,1)}
       160:{1,3,4,6}:{(111,1),(114,1),(196,1),(214,1),(215,1),(327,1)}
       161:{1,2,4,7}:{(112,1),(116,1),(122,1),(197,1),(213,1)}
       162:{1,2,4,6}:{(113,1),(117,1),(123,1),(198,1),(214,1),(217,1),(327,1),(530,1),(532,1)}
       163:{1,2,5}:{(114,1),(215,1)}
       164:{1,2,4,6}:{(115,1),(125,1),(218,1),(219,1),(327,1),(426,1),(537,1)}
       165:{1,4,6,7}:{(116,1),(117,1),(118,1),(126,1),(220,1)}
       166:{1,5,6}:{(117,1),(119,1),(220,1)}
       167:{2,5,7}:{(118,1),(119,1),(120,1),(220,1)}
       168:{2,4,5,6}:{(119,1),(121,1),(130,1),(221,1),(222,1),(223,1),(334,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(222,1),(432,1)}
       170:{1,2,6,7}:{(122,1),(123,1),(126,1),(307,1)}
       171:{1,2,5,6}:{(123,1),(124,1),(127,1),(225,1),(334,1)}
       172:{1,2,4,5,7}:{(124,1),(125,1),(128,1),(218,1),(225,1),(226,1),(230,1)}
       173:{1,3,4,7}:{(125,1),(219,1),(226,1),(227,1),(552,1)}
       174:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(220,1),(224,1),(228,1),(326,1),(333,1),(335,1)}
       175:{1,4,6}:{(127,1),(128,1),(130,1)}
       176:{1,3,4,5,7}:{(128,1),(131,1),(226,1),(229,1),(230,1),(328,1),(333,1),(425,1)}
       177:{2,4,6,7}:{(129,1),(130,1),(132,1),(222,1),(228,1),(231,1),(414,1)}
       178:{3,4,6}:{(130,1),(131,1),(223,1)}
       179:{1,3,4,6}:{(133,1),(135,1),(139,1),(232,1),(233,1),(238,1),(341,1),(344,1)}
       180:{1,2,5}:{(133,1),(232,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(233,1),(235,1)}
       182:{1,2,3,6,7}:{(134,1),(138,1),(236,1),(237,1),(350,1),(441,1),(471,1),(508,1)}
       183:{1,3,5}:{(135,1),(136,1),(142,1),(238,1)}
       184:{1,3,4,7}:{(135,1),(137,1),(143,1),(239,1),(240,1),(444,1),(526,1)}
       185:{1,2,4,6}:{(136,1),(144,1),(234,1),(238,1),(241,1),(341,1)}
       186:{1,2,4,5,7}:{(136,1),(137,1),(145,1),(235,1),(239,1),(241,1),(242,1),(243,1),(286,1),(342,1),(352,1),(353,1),(388,1),(444,1),(467,1),(524,1)}
       187:{1,2,4,6}:{(137,1),(138,1),(240,1),(243,1)}
       188:{1,2,3,5,6}:{(138,1),(237,1),(243,1),(244,1),(347,1),(351,1),(355,1),(441,1),(448,1),(469,1),(470,1),(525,1)}
       189:{2,3,5}:{(139,1),(150,1),(232,1),(245,1)}
       190:{2,3,4,7}:{(139,1),(151,1),(233,1),(247,1),(252,1),(357,1)}
       191:{2,5,6}:{(140,1),(144,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(146,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(455,1)}
       194:{2,3,6}:{(142,1),(144,1),(158,1),(238,1),(252,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(145,1),(159,1),(239,1),(252,1),(253,1),(254,1),(522,1),(550,1)}
       196:{2,3,4,6}:{(143,1),(160,1),(240,1),(253,1),(254,1),(366,1)}
       197:{2,4,7}:{(144,1),(146,1),(249,1),(252,1)}
       198:{2,4,6}:{(145,1),(147,1),(253,1),(256,1)}
       199:{1,3,4,6,7}:{(146,1),(147,1),(148,1),(165,1),(250,1),(255,1),(257,1),(270,1),(350,1),(363,1),(377,1),(390,1),(435,1),(444,1),(455,1),(457,1),(519,1),(520,1),(545,1)}
       200:{1,3,5,6}:{(147,1),(149,1),(166,1),(256,1),(257,1),(258,1),(369,1),(385,1),(436,1),(544,1)}
       201:{2,3,5,7}:{(148,1),(149,1),(167,1),(257,1),(259,1),(279,1),(384,1),(451,1),(518,1),(543,1)}
       202:{2,4,5,6}:{(149,1),(258,1),(259,1),(260,1),(366,1)}
       203:{1,3,4,5}:{(150,1),(245,1),(261,1),(272,1),(367,1)}
       204:{1,3,5,6}:{(150,1),(152,1),(158,1),(246,1),(261,1),(263,1),(264,1),(369,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,4,6,7}:{(151,1),(154,1),(160,1),(248,1),(264,1),(265,1),(270,1),(375,1),(377,1),(443,1),(509,1),(545,1)}
       207:{1,2,4,5,7}:{(152,1),(155,1),(161,1),(249,1),(263,1),(266,1),(273,1),(357,1),(368,1),(377,1),(451,1),(463,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(267,1),(358,1),(375,1)}
       209:{1,2,5,7}:{(154,1),(163,1),(265,1),(267,1),(451,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(167,1),(268,1),(451,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(363,1),(463,1),(464,1)}
       213:{1,3,7}:{(158,1),(161,1),(252,1)}
       214:{1,3,6}:{(159,1),(162,1),(253,1)}
       215:{1,3,5}:{(160,1),(163,1),(254,1),(272,1)}
       216:{1,2,4,6,7}:{(161,1),(162,1),(165,1),(170,1),(255,1),(270,1),(273,1),(377,1),(545,1),(546,1),(547,1)}
       217:{1,2,5,6}:{(162,1),(163,1),(166,1),(256,1),(271,1),(273,1),(544,1)}
       218:{1,2,4,5}:{(163,1),(164,1),(272,1),(275,1),(379,1)}
       219:{1,3,4,6}:{(164,1),(173,1),(275,1),(276,1),(281,1),(548,1),(549,1)}
       220:{1,5,7}:{(165,1),(166,1),(167,1)}
       221:{1,4,5,6}:{(166,1),(168,1),(175,1),(277,1),(278,1)}
       222:{2,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(277,1),(279,1),(384,1)}
       223:{3,5,6}:{(168,1),(178,1),(279,1)}
       224:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(273,1),(280,1),(362,1),(384,1),(464,1)}
       225:{1,2,4,6}:{(171,1),(172,1),(175,1),(281,1),(285,1)}
       226:{1,3,5,7}:{(172,1),(173,1),(275,1),(281,1),(282,1)}
       227:{2,3,4,7}:{(173,1),(276,1),(282,1),(283,1),(465,1),(550,1)}
       228:{1,4,6,7}:{(174,1),(175,1),(177,1),(277,1),(377,1)}
       229:{1,3,4,6}:{(175,1),(176,1),(178,1),(278,1),(281,1),(285,1)}
       230:{2,4,5,7}:{(176,1),(282,1),(285,1),(286,1),(379,1),(384,1),(465,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(455,1),(457,1)}
       232:{1,3,5}:{(179,1),(180,1),(189,1),(287,1)}
       233:{1,3,4,7}:{(179,1),(181,1),(190,1),(289,1),(295,1),(391,1)}
       234:{1,2,5,6}:{(180,1),(185,1),(191,1),(288,1),(291,1),(292,1)}
       235:{1,2,5,7}:{(180,1),(181,1),(289,1),(292,1)}
       236:{1,2,4,6,7}:{(181,1),(182,1),(187,1),(290,1),(292,1),(293,1),(294,1),(397,1),(529,1)}
       237:{1,2,3,5,7}:{(182,1),(188,1),(293,1),(294,1),(398,1),(400,1),(484,1),(501,1),(542,1)}
       238:{1,3,6}:{(183,1),(185,1),(194,1),(295,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(186,1),(195,1),(295,1),(296,1),(297,1),(500,1),(542,1)}
       240:{1,3,4,6}:{(184,1),(187,1),(196,1),(296,1),(297,1),(401,1)}
       241:{1,2,4,7}:{(185,1),(197,1),(291,1),(295,1),(391,1)}
       242:{1,2,4,6}:{(186,1),(198,1),(292,1),(296,1),(299,1),(340,1),(392,1),(401,1),(434,1)}
       243:{1,2,5}:{(187,1),(297,1)}
       244:{1,2,4,6}:{(188,1),(294,1),(300,1),(301,1),(401,1),(482,1),(502,1)}
       245:{2,4,5}:{(189,1),(203,1),(287,1),(302,1)}
       246:{2,3,5,6}:{(189,1),(191,1),(194,1),(204,1),(288,1),(302,1),(304,1),(305,1),(408,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(289,1),(303,1),(305,1)}
       248:{2,3,4,6,7}:{(190,1),(196,1),(206,1),(290,1),(305,1),(306,1),(310,1),(399,1),(407,1),(410,1),(414,1),(478,1),(490,1),(529,1)}
       249:{2,5,7}:{(191,1),(192,1),(197,1),(307,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(307,1)}
       251:{2,3,5,6,7}:{(193,1),(201,1),(211,1),(308,1),(309,1),(325,1),(424,1),(491,1)}
       252:{2,3,7}:{(194,1),(197,1),(213,1),(295,1)}
       253:{2,3,6}:{(195,1),(198,1),(214,1),(296,1)}
       254:{2,3,5}:{(196,1),(215,1),(297,1),(312,1)}
       255:{2,4,6,7}:{(197,1),(198,1),(199,1),(307,1),(310,1),(313,1),(414,1),(538,1),(539,1)}
       256:{2,5,6}:{(198,1),(200,1),(313,1)}
       257:{1,3,5,7}:{(199,1),(200,1),(201,1),(220,1),(313,1),(315,1),(417,1),(432,1),(472,1),(551,1)}
       258:{1,4,5,6}:{(200,1),(202,1),(314,1),(315,1),(327,1),(401,1)}
       259:{2,4,5,7}:{(201,1),(202,1),(309,1),(315,1),(317,1),(414,1)}
       260:{3,4,5,6}:{(202,1),(223,1),(317,1),(415,1),(489,1)}
       261:{1,3,4,6}:{(203,1),(204,1),(302,1),(318,1),(327,1),(415,1)}
       262:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(318,1),(319,1),(322,1),(411,1),(421,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(304,1),(318,1),(320,1),(417,1)}
       264:{1,3,6}:{(205,1),(208,1),(305,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(306,1),(321,1),(322,1),(551,1)}
       266:{1,2,4,6,7}:{(207,1),(208,1),(210,1),(307,1),(320,1),(323,1),(407,1),(412,1),(423,1)}
       267:{1,2,5,6}:{(208,1),(209,1),(321,1),(408,1),(532,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(220,1),(472,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(222,1),(309,1),(324,1),(325,1),(412,1),(424,1),(488,1)}
       270:{1,3,6,7}:{(213,1),(214,1),(216,1),(310,1),(326,1),(552,1)}
       271:{1,3,5,6}:{(214,1),(215,1),(217,1),(311,1),(326,1),(327,1)}
       272:{1,4,5}:{(215,1),(312,1),(327,1)}
       273:{1,2,5,7}:{(216,1),(217,1),(220,1),(313,1),(326,1),(551,1)}
       274:{1,2,4,5,6}:{(217,1),(218,1),(221,1),(225,1),(314,1),(327,1),(329,1),(330,1),(334,1),(420,1),(426,1),(497,1),(534,1)}
       275:{1,3,5}:{(218,1),(219,1),(331,1)}
       276:{2,3,4,6}:{(219,1),(227,1),(331,1),(332,1),(336,1),(426,1),(540,1),(541,1)}
       277:{1,4,5,7}:{(220,1),(221,1),(222,1),(228,1),(333,1)}
       278:{1,3,5,6}:{(221,1),(223,1),(229,1),(333,1),(334,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(329,1),(335,1),(339,1),(412,1),(492,1),(538,1)}
       281:{1,3,6}:{(225,1),(226,1),(336,1)}
       282:{2,3,5,7}:{(226,1),(227,1),(230,1),(331,1),(336,1),(337,1)}
       283:{1,3,4,7}:{(227,1),(332,1),(337,1),(338,1),(498,1),(542,1)}
       284:{1,3,4,6,7}:{(228,1),(229,1),(231,1),(333,1),(335,1),(339,1),(425,1)}
       285:{2,4,6}:{(229,1),(230,1),(334,1),(336,1),(340,1)}
       286:{1,4,5,7}:{(230,1),(337,1),(340,1),(427,1),(432,1),(498,1)}
       287:{1,4,5}:{(232,1),(245,1),(341,1)}
       288:{1,3,5,6}:{(232,1),(234,1),(238,1),(246,1),(341,1),(343,1),(344,1),(436,1)}
       289:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(342,1),(344,1)}
       290:{1,3,4,6,7}:{(233,1),(236,1),(240,1),(248,1),(344,1),(345,1),(349,1),(350,1),(435,1),(438,1),(441,1),(444,1)}
       291:{1,2,5,7}:{(234,1),(241,1),(249,1),(343,1),(346,1)}
       292:{1,2,6}:{(235,1),(344,1)}
       293:{1,2,5,7}:{(236,1),(243,1),(345,1),(347,1),(543,1)}
       294:{1,2,4,7}:{(237,1),(244,1),(349,1),(444,1),(512,1)}
       295:{1,3,7}:{(238,1),(241,1),(252,1)}
       296:{1,3,6}:{(239,1),(242,1),(253,1)}
       297:{1,3,5}:{(240,1),(243,1),(254,1),(352,1)}
       298:{1,2,4,6,7}:{(241,1),(242,1),(255,1),(346,1),(350,1),(353,1),(390,1),(435,1),(444,1),(471,1),(524,1)}
       299:{1,2,5,6}:{(242,1),(243,1),(256,1),(351,1),(353,1),(385,1),(436,1)}
       300:{1,2,4,5}:{(243,1),(244,1),(352,1),(355,1),(446,1)}
       301:{1,3,4,6}:{(244,1),(349,1),(355,1),(356,1),(441,1),(525,1),(526,1)}
       302:{2,4,6}:{(245,1),(246,1),(261,1),(341,1),(357,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(262,1),(342,1),(357,1),(358,1),(451,1)}
       304:{2,3,5,7}:{(246,1),(249,1),(252,1),(263,1),(343,1),(357,1),(359,1),(451,1)}
       305:{2,3,6}:{(247,1),(264,1),(344,1),(358,1)}
       306:{2,3,5,7}:{(248,1),(254,1),(265,1),(345,1),(360,1),(361,1),(451,1),(518,1),(543,1)}
       307:{2,6,7}:{(249,1),(250,1)}
       308:{1,3,5,6,7}:{(250,1),(251,1),(257,1),(268,1),(362,1),(363,1),(455,1),(464,1),(519,1)}
       309:{2,4,6,7}:{(251,1),(259,1),(363,1),(364,1)}
       310:{2,3,6,7}:{(252,1),(253,1),(255,1),(270,1),(350,1),(365,1),(455,1),(550,1)}
       311:{2,3,5,6}:{(253,1),(254,1),(256,1),(271,1),(351,1),(365,1),(366,1),(369,1)}
       312:{2,4,5}:{(254,1),(272,1),(352,1),(366,1),(367,1)}
       313:{2,5,7}:{(255,1),(256,1),(257,1)}
       314:{2,4,5,6}:{(256,1),(258,1),(366,1),(368,1),(369,1)}
       315:{1,4,5,7}:{(257,1),(258,1),(259,1),(363,1),(368,1),(377,1),(444,1)}
       316:{1,3,4,5,6}:{(258,1),(260,1),(278,1),(369,1),(370,1),(371,1),(378,1),(445,1),(461,1),(504,1)}
       317:{3,4,5,7}:{(259,1),(260,1),(279,1),(364,1),(457,1),(518,1)}
       318:{1,3,4,7}:{(261,1),(263,1),(357,1),(377,1),(457,1)}
       319:{1,3,4,6}:{(262,1),(264,1),(358,1),(373,1),(375,1),(454,1)}
       320:{1,3,6,7}:{(263,1),(264,1),(266,1),(359,1),(455,1)}
       321:{1,3,5,6}:{(264,1),(265,1),(267,1),(360,1),(375,1),(509,1),(544,1)}
       322:{1,4,5,7}:{(265,1),(272,1),(361,1),(375,1),(377,1)}
       323:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(273,1),(362,1),(374,1),(451,1),(546,1)}
       324:{1,4,5,6,7}:{(268,1),(269,1),(277,1),(363,1),(376,1),(503,1)}
       325:{3,5,6,7}:{(269,1),(279,1),(364,1),(455,1),(518,1)}
       326:{1,3,5,7}:{(270,1),(271,1),(273,1),(365,1),(377,1)}
       327:{1,4,6}:{(271,1),(272,1),(366,1),(377,1)}
       328:{1,3,4,5}:{(272,1),(275,1),(367,1),(378,1),(379,1)}
       329:{1,2,4,5,7}:{(273,1),(274,1),(277,1),(280,1),(368,1),(377,1),(380,1),(384,1),(462,1),(465,1),(523,1),(547,1)}
       330:{1,3,5,6}:{(274,1),(275,1),(281,1),(369,1),(378,1),(380,1),(381,1),(548,1)}
       331:{2,3,5}:{(275,1),(276,1),(379,1),(382,1)}
       332:{1,3,4,6}:{(276,1),(283,1),(382,1),(383,1),(387,1),(466,1),(525,1),(526,1)}
       333:{1,3,5,7}:{(277,1),(278,1),(279,1),(284,1),(384,1)}
       334:{2,5,6}:{(278,1),(285,1),(384,1),(385,1)}
       335:{1,3,6,7}:{(280,1),(281,1),(380,1),(386,1),(455,1)}
       336:{2,3,6}:{(281,1),(282,1),(285,1),(387,1)}
       337:{1,3,5,7}:{(282,1),(283,1),(286,1),(382,1),(387,1),(388,1)}
       338:{1,2,4,7}:{(283,1),(383,1),(388,1),(389,1)}
       339:{2,4,6,7}:{(284,1),(285,1),(384,1),(386,1),(390,1),(465,1)}
       340:{1,4,6}:{(285,1),(286,1),(385,1),(387,1)}
       341:{1,4,6}:{(287,1),(288,1),(302,1),(391,1)}
       342:{1,4,5,7}:{(287,1),(289,1),(303,1),(391,1),(392,1),(472,1)}
       343:{1,3,5,7}:{(288,1),(291,1),(295,1),(304,1),(391,1),(393,1),(472,1)}
       344:{1,3,6}:{(289,1),(292,1),(305,1),(392,1)}
       345:{1,3,5,7}:{(290,1),(293,1),(297,1),(306,1),(394,1),(395,1),(472,1)}
       346:{1,2,6,7}:{(291,1),(292,1),(307,1),(393,1)}
       347:{1,2,5,6}:{(292,1),(293,1),(394,1),(397,1),(528,1)}
       348:{1,2,4,5,7}:{(293,1),(294,1),(300,1),(395,1),(397,1),(398,1),(476,1)}
       349:{1,3,4,7}:{(294,1),(301,1),(398,1),(399,1),(542,1)}
       350:{1,3,6,7}:{(295,1),(296,1),(298,1),(310,1),(400,1),(542,1)}
       351:{1,3,5,6}:{(296,1),(297,1),(299,1),(311,1),(400,1),(401,1)}
       352:{1,4,5}:{(297,1),(312,1),(401,1)}
       353:{1,2,5,7}:{(298,1),(299,1),(313,1),(400,1),(432,1),(472,1)}
       354:{1,2,4,5,6}:{(299,1),(300,1),(314,1),(397,1),(401,1),(403,1),(404,1),(420,1),(473,1),(482,1),(497,1),(499,1),(528,1)}
       355:{1,3,5}:{(300,1),(301,1),(405,1)}
       356:{2,3,4,6}:{(301,1),(399,1),(405,1),(406,1),(478,1),(482,1),(540,1),(541,1)}
       357:{2,4,7}:{(302,1),(304,1),(318,1),(391,1)}
       358:{2,4,6}:{(303,1),(305,1),(319,1),(392,1),(408,1)}
       359:{2,3,6,7}:{(304,1),(305,1),(307,1),(320,1),(393,1),(407,1)}
       360:{2,3,5,6}:{(305,1),(306,1),(321,1),(394,1),(408,1),(410,1),(478,1),(489,1),(528,1)}
       361:{2,4,5,7}:{(306,1),(312,1),(322,1),(395,1),(410,1),(411,1),(414,1)}
       362:{2,5,6,7}:{(307,1),(308,1),(313,1),(412,1),(538,1)}
       363:{1,4,6,7}:{(308,1),(309,1),(315,1),(412,1)}
       364:{3,4,6,7}:{(309,1),(317,1),(325,1)}
       365:{2,3,5,7}:{(310,1),(311,1),(313,1),(326,1),(400,1),(414,1),(417,1)}
       366:{2,4,6}:{(311,1),(312,1),(327,1),(401,1),(414,1),(415,1)}
       367:{3,4,5}:{(312,1),(415,1)}
       368:{2,4,5,7}:{(313,1),(314,1),(315,1),(412,1),(414,1),(417,1)}
       369:{3,5,6}:{(314,1),(415,1),(417,1)}
       370:{1,3,4,5,7}:{(315,1),(316,1),(317,1),(333,1),(413,1),(417,1),(419,1),(425,1),(481,1),(496,1),(527,1)}
       371:{2,4,5,6}:{(316,1),(334,1),(418,1),(419,1),(420,1),(426,1),(482,1),(497,1),(528,1)}
       372:{1,3,4,6,7}:{(318,1),(319,1),(320,1),(407,1),(421,1),(423,1),(490,1)}
       373:{1,3,5,6}:{(319,1),(408,1),(421,1),(422,1),(489,1)}
       374:{1,3,5,6,7}:{(320,1),(321,1),(323,1),(326,1),(409,1),(421,1),(423,1),(531,1),(551,1)}
       375:{1,4,6}:{(321,1),(322,1),(410,1)}
       376:{1,3,5,6,7}:{(324,1),(325,1),(333,1),(413,1),(424,1),(527,1)}
       377:{1,4,7}:{(326,1),(327,1),(414,1)}
       378:{1,3,4,6}:{(327,1),(328,1),(330,1),(415,1),(425,1),(426,1)}
       379:{2,4,5}:{(328,1),(331,1),(426,1),(427,1)}
       380:{1,3,5,7}:{(329,1),(330,1),(335,1),(417,1),(425,1),(428,1),(552,1)}
       381:{2,3,5,6}:{(330,1),(331,1),(334,1),(336,1),(426,1),(428,1),(429,1),(497,1),(540,1)}
       382:{1,3,5}:{(331,1),(332,1),(427,1),(430,1)}
       383:{1,2,4,6}:{(332,1),(338,1),(430,1),(431,1),(434,1),(502,1)}
       384:{2,5,7}:{(333,1),(334,1),(339,1),(432,1)}
       385:{1,5,6}:{(334,1),(340,1),(432,1)}
       386:{2,3,6,7}:{(335,1),(336,1),(339,1),(428,1),(433,1),(538,1)}
       387:{1,3,6}:{(336,1),(337,1),(340,1),(434,1)}
       388:{1,2,5,7}:{(337,1),(338,1),(430,1),(434,1)}
       389:{1,2,3,7}:{(338,1),(431,1),(542,1)}
       390:{1,4,6,7}:{(339,1),(340,1),(432,1),(433,1),(498,1)}
       391:{1,4,7}:{(341,1),(343,1),(357,1)}
       392:{1,4,6}:{(342,1),(344,1),(358,1),(436,1)}
       393:{1,3,6,7}:{(343,1),(344,1),(346,1),(359,1),(435,1)}
       394:{1,3,5,6}:{(344,1),(345,1),(347,1),(360,1),(436,1),(438,1),(441,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(438,1),(444,1)}
       396:{1,2,5,6,7}:{(346,1),(347,1),(353,1),(362,1),(437,1),(440,1),(464,1),(543,1)}
       397:{1,2,4,6}:{(347,1),(348,1),(438,1),(441,1),(506,1)}
       398:{1,3,5,7}:{(348,1),(349,1),(355,1),(441,1),(442,1)}
       399:{2,3,4,7}:{(349,1),(356,1),(442,1),(443,1),(512,1),(550,1)}
       400:{1,3,5,7}:{(350,1),(351,1),(353,1),(365,1),(444,1)}
       401:{1,4,6}:{(351,1),(352,1),(366,1),(444,1)}
       402:{1,3,4,5}:{(352,1),(355,1),(367,1),(445,1),(446,1)}
       403:{1,2,4,5,7}:{(353,1),(354,1),(368,1),(440,1),(444,1),(447,1),(462,1),(503,1),(512,1),(523,1),(524,1),(543,1)}
       404:{1,3,5,6}:{(354,1),(355,1),(369,1),(441,1),(445,1),(447,1),(448,1),(525,1)}
       405:{2,3,5}:{(355,1),(356,1),(446,1),(449,1)}
       406:{1,3,4,6}:{(356,1),(443,1),(449,1),(450,1),(509,1),(513,1),(548,1),(549,1)}
       407:{2,4,6,7}:{(357,1),(358,1),(359,1),(372,1),(435,1),(451,1)}
       408:{2,5,6}:{(358,1),(373,1),(436,1),(451,1)}
       409:{2,3,5,6,7}:{(359,1),(360,1),(362,1),(365,1),(374,1),(437,1),(451,1),(453,1),(455,1),(508,1),(518,1),(543,1)}
       410:{2,4,6}:{(360,1),(361,1),(375,1),(438,1),(454,1)}
       411:{3,4,5,7}:{(361,1),(367,1),(454,1),(457,1),(518,1)}
       412:{2,4,6,7}:{(362,1),(363,1),(368,1),(455,1)}
       413:{1,3,4,6,7}:{(363,1),(364,1),(370,1),(376,1),(455,1),(456,1),(519,1)}
       414:{2,4,7}:{(365,1),(366,1),(377,1),(444,1),(457,1)}
       415:{3,4,6}:{(366,1),(367,1),(369,1),(457,1)}
       416:{2,3,4,5}:{(367,1),(379,1),(446,1),(458,1),(459,1),(522,1)}
       417:{3,5,7}:{(368,1),(369,1),(455,1),(457,1)}
       418:{2,3,5,6}:{(369,1),(371,1),(458,1),(460,1),(461,1)}
       419:{2,4,5,7}:{(370,1),(371,1),(384,1),(456,1),(460,1),(462,1),(465,1),(512,1),(523,1),(543,1)}
       420:{1,4,5,6}:{(371,1),(385,1),(461,1),(462,1),(466,1),(513,1),(544,1)}
       421:{1,3,5,7}:{(372,1),(373,1),(451,1),(463,1),(518,1)}
       422:{1,4,5,6}:{(373,1),(375,1),(452,1),(463,1),(544,1)}
       423:{1,4,6,7}:{(374,1),(375,1),(377,1),(453,1),(463,1)}
       424:{2,5,6,7}:{(376,1),(384,1),(456,1),(464,1),(543,1)}
       425:{1,3,4,7}:{(377,1),(378,1),(380,1),(457,1),(465,1)}
       426:{2,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1)}
       427:{1,4,5}:{(379,1),(382,1),(466,1)}
       428:{2,3,5,7}:{(380,1),(381,1),(384,1),(386,1),(465,1),(468,1),(523,1),(550,1)}
       429:{1,3,5,6}:{(381,1),(382,1),(385,1),(387,1),(466,1),(468,1),(469,1),(525,1)}
       430:{1,2,5}:{(382,1),(383,1)}
       431:{1,2,3,6}:{(383,1),(389,1),(470,1),(525,1)}
       432:{1,5,7}:{(384,1),(385,1),(390,1)}
       433:{1,3,6,7}:{(386,1),(387,1),(390,1),(468,1),(471,1)}
       434:{1,2,6}:{(387,1),(388,1)}
       435:{1,4,6,7}:{(391,1),(392,1),(393,1),(407,1),(472,1)}
       436:{1,5,6}:{(392,1),(408,1),(472,1)}
       437:{1,3,5,6,7}:{(393,1),(394,1),(396,1),(400,1),(409,1),(472,1),(474,1),(477,1),(527,1)}
       438:{1,4,6}:{(394,1),(395,1),(410,1)}
       439:{1,3,4,5,7}:{(395,1),(398,1),(402,1),(411,1),(475,1),(476,1),(481,1),(527,1)}
       440:{1,2,4,6,7}:{(396,1),(397,1),(403,1),(412,1),(474,1),(477,1),(492,1),(529,1),(538,1)}
       441:{1,3,6}:{(397,1),(398,1),(478,1)}
       442:{2,3,5,7}:{(398,1),(399,1),(405,1),(476,1),(478,1),(479,1)}
       443:{1,3,4,7}:{(399,1),(406,1),(479,1),(480,1),(533,1),(552,1)}
       444:{1,4,7}:{(400,1),(401,1),(414,1)}
       445:{1,3,4,6}:{(401,1),(402,1),(404,1),(415,1),(481,1),(482,1)}
       446:{2,4,5}:{(402,1),(405,1),(482,1),(483,1)}
       447:{1,3,5,7}:{(403,1),(404,1),(417,1),(477,1),(481,1),(484,1),(542,1)}
       448:{2,3,5,6}:{(404,1),(405,1),(478,1),(482,1),(484,1),(485,1),(497,1),(528,1),(540,1)}
       449:{1,3,5}:{(405,1),(406,1),(483,1),(486,1)}
       450:{1,2,4,6}:{(406,1),(480,1),(486,1),(487,1),(532,1),(537,1)}
       451:{2,5,7}:{(407,1),(408,1),(421,1),(472,1)}
       452:{2,4,5,6}:{(408,1),(410,1),(422,1),(473,1),(488,1),(489,1),(528,1)}
       453:{2,4,6,7}:{(409,1),(410,1),(414,1),(423,1),(474,1),(488,1),(490,1)}
       454:{3,4,6}:{(410,1),(411,1),(489,1)}
       455:{3,6,7}:{(412,1),(417,1)}
       456:{2,4,6,7}:{(413,1),(419,1),(424,1),(491,1),(492,1),(538,1)}
       457:{3,4,7}:{(414,1),(415,1),(417,1)}
       458:{2,3,4,6}:{(415,1),(416,1),(418,1),(426,1),(482,1),(493,1),(494,1),(540,1)}
       459:{1,3,4,5}:{(416,1),(427,1),(483,1),(494,1),(495,1),(500,1),(535,1)}
       460:{2,3,5,7}:{(417,1),(418,1),(419,1),(491,1),(493,1),(496,1)}
       461:{1,3,5,6}:{(418,1),(420,1),(494,1),(496,1),(497,1)}
       462:{1,4,5,7}:{(419,1),(420,1),(432,1),(492,1),(496,1),(498,1),(533,1),(551,1)}
       463:{1,4,5,7}:{(421,1),(422,1),(423,1),(488,1),(551,1)}
       464:{1,5,6,7}:{(424,1),(432,1),(492,1),(551,1)}
       465:{2,4,7}:{(425,1),(426,1),(428,1),(498,1)}
       466:{1,4,6}:{(426,1),(427,1),(429,1),(498,1)}
       467:{1,2,4,5}:{(427,1),(430,1),(495,1),(499,1),(500,1),(502,1)}
       468:{1,3,5,7}:{(428,1),(429,1),(432,1),(433,1),(498,1),(501,1),(542,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(434,1),(497,1),(499,1),(501,1)}
       470:{1,2,3,5}:{(430,1),(431,1),(500,1),(502,1)}
       471:{1,2,6,7}:{(433,1),(434,1),(501,1),(538,1)}
       472:{1,5,7}:{(435,1),(436,1),(451,1)}
       473:{1,4,5,6}:{(436,1),(438,1),(452,1),(503,1),(504,1)}
       474:{1,4,6,7}:{(437,1),(438,1),(444,1),(453,1),(503,1)}
       475:{1,3,4,6}:{(438,1),(439,1),(441,1),(454,1),(504,1),(506,1)}
       476:{2,4,5,7}:{(439,1),(442,1),(446,1),(506,1),(507,1),(512,1),(543,1)}
       477:{1,3,6,7}:{(440,1),(441,1),(447,1),(455,1),(508,1)}
       478:{2,3,6}:{(441,1),(442,1),(506,1),(509,1)}
       479:{1,3,5,7}:{(442,1),(443,1),(449,1),(507,1),(509,1),(510,1)}
       480:{1,2,4,7}:{(443,1),(450,1),(510,1),(511,1)}
       481:{1,3,4,7}:{(444,1),(445,1),(447,1),(457,1),(512,1)}
       482:{2,4,6}:{(445,1),(446,1),(448,1),(512,1),(513,1)}
       483:{1,4,5}:{(446,1),(449,1),(513,1)}
       484:{2,3,5,7}:{(447,1),(448,1),(508,1),(512,1),(515,1),(523,1),(543,1),(550,1)}
       485:{1,3,5,6}:{(448,1),(449,1),(509,1),(513,1),(515,1),(516,1),(544,1),(548,1)}
       486:{1,2,5}:{(449,1),(450,1)}
       487:{1,2,3,6}:{(450,1),(511,1),(517,1),(548,1)}
       488:{2,4,5,7}:{(451,1),(452,1),(453,1),(463,1),(503,1),(518,1),(543,1)}
       489:{3,5,6}:{(452,1),(454,1),(518,1)}
       490:{3,4,6,7}:{(453,1),(454,1),(455,1),(457,1),(518,1)}
       491:{2,3,6,7}:{(455,1),(456,1),(460,1),(519,1)}
       492:{1,4,6,7}:{(456,1),(462,1),(464,1),(519,1)}
       493:{2,3,4,7}:{(457,1),(458,1),(460,1),(465,1),(512,1),(520,1),(550,1)}
       494:{1,3,4,6}:{(458,1),(459,1),(461,1),(466,1),(513,1),(520,1),(521,1),(525,1),(548,1)}
       495:{2,4,5}:{(459,1),(521,1),(522,1)}
       496:{1,3,5,7}:{(460,1),(461,1),(462,1),(519,1),(520,1),(523,1)}
       497:{2,5,6}:{(461,1),(521,1),(523,1)}
       498:{1,4,7}:{(465,1),(466,1),(468,1)}
       499:{1,2,4,6}:{(466,1),(467,1),(469,1),(521,1),(524,1),(525,1)}
       500:{1,3,5}:{(467,1),(522,1),(525,1),(526,1)}
       501:{1,2,5,7}:{(468,1),(469,1),(471,1),(523,1),(524,1)}
       502:{1,2,4}:{(470,1),(526,1)}
       503:{1,4,5,7}:{(472,1),(473,1),(474,1),(488,1),(527,1)}
       504:{1,3,5,6}:{(473,1),(475,1),(489,1),(527,1),(528,1)}
       505:{1,3,4,6,7}:{(474,1),(475,1),(477,1),(481,1),(490,1),(527,1),(529,1)}
       506:{2,4,6}:{(475,1),(476,1),(478,1),(528,1),(530,1)}
       507:{1,4,5,7}:{(476,1),(479,1),(483,1),(530,1),(533,1),(551,1)}
       508:{2,3,6,7}:{(477,1),(478,1),(484,1),(529,1),(531,1),(538,1)}
       509:{1,3,6}:{(478,1),(479,1),(530,1),(532,1)}
       510:{1,2,5,7}:{(479,1),(480,1),(486,1),(532,1)}
       511:{1,2,3,7}:{(480,1),(487,1),(552,1)}
       512:{2,4,7}:{(481,1),(482,1),(484,1),(533,1)}
       513:{1,4,6}:{(482,1),(483,1),(485,1),(533,1)}
       514:{1,2,4,5}:{(483,1),(486,1),(495,1),(534,1),(535,1),(537,1)}
       515:{1,3,5,7}:{(484,1),(485,1),(531,1),(533,1),(536,1),(551,1),(552,1)}
       516:{1,2,5,6}:{(485,1),(486,1),(497,1),(532,1),(534,1),(536,1)}
       517:{1,2,3,5}:{(486,1),(487,1),(535,1),(537,1)}
       518:{3,5,7}:{(488,1),(489,1),(490,1)}
       519:{1,3,6,7}:{(491,1),(492,1),(496,1),(538,1)}
       520:{1,3,4,7}:{(493,1),(494,1),(496,1),(498,1),(533,1),(539,1),(542,1),(552,1)}
       521:{2,4,6}:{(494,1),(495,1),(497,1),(539,1),(540,1)}
       522:{2,3,5}:{(495,1),(500,1),(535,1),(540,1),(541,1)}
       523:{2,5,7}:{(496,1),(497,1),(538,1),(539,1)}
       524:{1,2,4,7}:{(498,1),(499,1),(501,1),(539,1),(542,1)}
       525:{1,3,6}:{(499,1),(500,1),(540,1),(542,1)}
       526:{1,3,4}:{(500,1),(502,1),(541,1)}
       527:{1,3,5,7}:{(503,1),(504,1),(505,1),(518,1),(543,1)}
       528:{2,5,6}:{(504,1),(506,1),(543,1),(544,1)}
       529:{2,4,6,7}:{(505,1),(506,1),(508,1),(512,1),(543,1),(545,1)}
       530:{1,4,6}:{(506,1),(507,1),(509,1),(544,1)}
       531:{1,3,6,7}:{(508,1),(509,1),(515,1),(545,1),(546,1)}
       532:{1,2,6}:{(509,1),(510,1)}
       533:{1,4,7}:{(512,1),(513,1),(515,1)}
       534:{1,2,4,6}:{(513,1),(514,1),(516,1),(521,1),(547,1),(548,1)}
       535:{1,3,5}:{(514,1),(522,1),(548,1),(549,1)}
       536:{1,2,5,7}:{(515,1),(516,1),(523,1),(546,1),(547,1)}
       537:{1,2,4}:{(517,1),(549,1)}
       538:{2,6,7}:{(519,1),(523,1)}
       539:{2,4,7}:{(520,1),(521,1),(523,1),(550,1)}
       540:{2,3,6}:{(521,1),(522,1),(525,1),(548,1),(550,1)}
       541:{2,3,4}:{(522,1),(526,1),(549,1)}
       542:{1,3,7}:{(524,1),(525,1),(550,1)}
       543:{2,5,7}:{(527,1),(528,1),(529,1),(551,1)}
       544:{1,5,6}:{(528,1),(530,1),(551,1)}
       545:{1,4,6,7}:{(529,1),(530,1),(531,1),(533,1),(551,1)}
       546:{1,2,6,7}:{(531,1),(532,1),(536,1),(538,1)}
       547:{1,2,4,7}:{(533,1),(534,1),(536,1),(539,1),(552,1)}
       548:{1,3,6}:{(534,1),(535,1),(540,1),(552,1)}
       549:{1,3,4}:{(535,1),(537,1),(541,1)}
       550:{2,3,7}:{(539,1),(540,1),(542,1),(552,1)}
       551:{1,5,7}:{(543,1),(544,1),(545,1)}
       552:{1,3,7}:{(547,1),(548,1),(550,1)}

2005 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2006 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2007 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2008 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2009 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(12,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(43,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(40,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(24,1),(28,1),(63,1),(64,1),(92,1),(137,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(23,1),(25,1),(138,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(63,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(32,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(76,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(31,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(41,1),(46,1),(89,1),(154,1)}
        24:{1,3,5}:{(11,1),(13,1),(37,1),(40,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(41,1),(43,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(42,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(40,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(89,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(55,1),(96,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(50,1),(52,1),(56,1)}
        33:{1,2,5}:{(18,1),(51,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(58,1),(61,1),(109,1),(140,1)}
        37:{2,3,5}:{(21,1),(24,1),(51,1),(57,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,4,5}:{(24,1),(57,1),(63,1)}
        41:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(64,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(28,1),(59,1),(63,1),(64,1),(65,1),(113,1),(137,1),(164,1)}
        43:{1,2,6}:{(25,1),(64,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(65,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(63,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(73,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(74,1),(79,1),(121,1),(124,1)}
        51:{1,3,5}:{(31,1),(33,1),(37,1),(73,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(74,1),(76,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(75,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,4,5}:{(37,1),(40,1),(73,1),(80,1),(82,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(41,1),(74,1),(81,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(42,1),(75,1),(82,1),(83,1),(84,1),(85,1),(119,1),(127,1),(131,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(41,1),(81,1),(88,1),(89,1),(135,1)}
        63:{1,4,6}:{(40,1),(42,1),(82,1),(89,1)}
        64:{1,3,6}:{(41,1),(43,1),(83,1),(88,1)}
        65:{1,3,5,7}:{(42,1),(44,1),(46,1),(84,1),(89,1),(90,1),(135,1),(154,1),(171,1)}
        66:{1,2,6,7}:{(43,1),(44,1),(90,1),(133,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(87,1),(91,1),(127,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(89,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(99,1),(139,1)}
        73:{1,4,5}:{(51,1),(57,1),(99,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(52,1),(58,1),(98,1),(100,1)}
        75:{1,3,5,6}:{(51,1),(53,1),(55,1),(59,1),(96,1),(99,1),(100,1),(101,1),(103,1),(144,1)}
        76:{1,2,6}:{(52,1),(100,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(101,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(57,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(108,1),(109,1),(151,1)}
        82:{2,4,6}:{(57,1),(59,1),(63,1),(99,1),(106,1),(109,1)}
        83:{2,3,6}:{(58,1),(64,1),(100,1),(108,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(65,1),(101,1),(109,1),(110,1),(111,1),(140,1),(147,1),(151,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,5,6}:{(63,1),(67,1),(107,1),(112,1),(113,1),(164,1)}
        88:{1,4,6}:{(62,1),(64,1),(108,1),(113,1)}
        89:{1,4,7}:{(63,1),(65,1),(109,1)}
        90:{1,3,6,7}:{(64,1),(65,1),(66,1),(110,1),(114,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(112,1),(115,1),(147,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(73,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(124,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(74,1),(81,1),(123,1),(124,1),(159,1)}
        99:{1,4,6}:{(73,1),(75,1),(82,1),(124,1)}
       100:{1,3,6}:{(74,1),(76,1),(83,1),(123,1)}
       101:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(121,1),(124,1),(125,1),(126,1),(159,1)}
       102:{1,2,6,7}:{(76,1),(77,1),(125,1),(172,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(128,1),(129,1),(162,1)}
       106:{3,4,6}:{(80,1),(82,1),(127,1),(129,1)}
       107:{2,4,5,6}:{(82,1),(85,1),(87,1),(122,1),(127,1),(130,1),(131,1),(155,1),(161,1)}
       108:{2,4,6}:{(81,1),(83,1),(88,1),(123,1),(128,1),(131,1)}
       109:{2,4,7}:{(82,1),(84,1),(89,1),(124,1),(129,1)}
       110:{2,3,6,7}:{(83,1),(84,1),(90,1),(125,1),(132,1),(133,1),(160,1),(172,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,4,5,7}:{(87,1),(89,1),(91,1),(130,1),(134,1),(135,1),(171,1)}
       113:{1,5,6}:{(88,1),(131,1),(135,1)}
       114:{1,4,6,7}:{(88,1),(89,1),(90,1),(132,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(134,1),(160,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(99,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,5,6}:{(99,1),(103,1),(107,1),(141,1),(143,1),(144,1)}
       123:{1,4,6}:{(98,1),(100,1),(108,1),(144,1)}
       124:{1,4,7}:{(99,1),(101,1),(109,1)}
       125:{1,3,6,7}:{(100,1),(101,1),(102,1),(110,1),(145,1),(146,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,5,6}:{(106,1),(107,1),(147,1)}
       128:{3,4,6}:{(105,1),(108,1),(148,1)}
       129:{3,4,7}:{(106,1),(109,1),(147,1)}
       130:{2,4,5,7}:{(107,1),(109,1),(111,1),(112,1),(143,1),(147,1),(150,1),(151,1),(166,1),(170,1)}
       131:{2,5,6}:{(108,1),(113,1),(144,1),(148,1),(151,1)}
       132:{2,4,6,7}:{(108,1),(109,1),(110,1),(114,1),(145,1),(149,1),(151,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,4,6,7}:{(112,1),(115,1),(150,1),(152,1),(174,1)}
       135:{1,5,7}:{(113,1),(114,1),(151,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(122,1),(127,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(124,1),(129,1),(156,1),(157,1)}
       143:{1,4,5,7}:{(122,1),(124,1),(126,1),(130,1),(157,1),(158,1),(159,1)}
       144:{1,5,6}:{(123,1),(131,1),(159,1)}
       145:{1,4,6,7}:{(123,1),(124,1),(125,1),(132,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,7}:{(127,1),(129,1),(130,1),(160,1)}
       148:{3,5,6}:{(128,1),(131,1),(161,1),(162,1)}
       149:{3,4,6,7}:{(128,1),(129,1),(132,1),(160,1),(162,1),(173,1)}
       150:{2,4,6,7}:{(130,1),(133,1),(134,1),(158,1),(160,1),(163,1),(172,1),(173,1)}
       151:{2,5,7}:{(131,1),(132,1),(135,1),(159,1),(162,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(143,1),(147,1),(166,1),(167,1)}
       158:{1,4,6,7}:{(143,1),(146,1),(150,1),(167,1),(168,1)}
       159:{1,5,7}:{(144,1),(145,1),(151,1)}
       160:{3,6,7}:{(147,1),(150,1)}
       161:{4,5,6}:{(148,1),(170,1)}
       162:{3,5,7}:{(148,1),(149,1),(151,1),(170,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(169,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{3,5,6,7}:{(160,1),(162,1),(163,1),(173,1)}
       170:{4,5,7}:{(161,1),(162,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

2010 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2011 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(19,1),(124,1),(126,1),(206,1),(207,1),(210,1),(220,1),(276,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(9,1),(28,1),(36,1),(100,1),(102,1),(151,1),(153,1),(165,1),(167,1),(251,1),(254,1),(263,1),(313,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(8,1),(33,1),(90,1),(249,1),(262,1),(312,1)}
         3:{1,2,4,5,7}:{(5,1),(9,1),(10,1),(11,1),(44,1),(47,1),(100,1),(102,1),(313,1),(314,1),(317,1),(321,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(47,1),(321,1),(322,1),(323,1)}
         5:{2,4,5,7}:{(1,1),(15,1),(16,1),(60,1),(124,1),(126,1),(292,1),(296,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(22,1),(51,1),(70,1),(115,1),(127,1),(302,1),(344,1)}
         7:{2,3,4,6,7}:{(2,1),(17,1),(19,1),(58,1),(65,1),(126,1),(209,1),(210,1),(213,1),(223,1),(279,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(19,1),(20,1),(289,1),(301,1),(343,1)}
         9:{1,3,5,7}:{(3,1),(15,1),(21,1),(22,1),(68,1),(346,1),(349,1)}
        10:{1,2,4,6}:{(3,1),(16,1),(22,1),(24,1),(70,1),(344,1),(350,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(25,1),(352,1)}
        12:{1,2,3,6}:{(4,1),(22,1),(25,1),(350,1)}
        13:{1,2,4,5,7}:{(5,1),(28,1),(29,1),(30,1),(81,1),(84,1),(151,1),(153,1),(263,1),(264,1),(267,1),(271,1)}
        14:{1,2,3,5,7}:{(28,1),(30,1),(31,1),(84,1),(271,1),(272,1),(273,1)}
        15:{2,3,5,7}:{(5,1),(9,1),(28,1),(32,1),(33,1),(88,1),(328,1),(332,1)}
        16:{2,4,6}:{(5,1),(6,1),(33,1),(35,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(34,1),(36,1),(42,1),(79,1),(94,1),(102,1),(153,1),(167,1),(170,1),(254,1),(258,1),(266,1),(316,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(35,1),(36,1),(37,1),(93,1),(335,1),(367,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(36,1),(39,1),(252,1),(265,1),(315,1)}
        20:{2,4,5,6}:{(8,1),(37,1),(39,1),(40,1),(90,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(32,1),(41,1),(102,1),(370,1)}
        22:{1,3,6}:{(9,1),(10,1),(33,1)}
        23:{1,2,4,6,7}:{(10,1),(34,1),(42,1),(44,1),(102,1),(316,1),(317,1),(319,1)}
        24:{1,2,5,6}:{(10,1),(35,1),(43,1),(44,1),(47,1),(367,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(41,1),(47,1)}
        26:{1,2,3,6,7}:{(12,1),(42,1),(46,1),(48,1),(183,1),(186,1),(319,1),(323,1),(372,1),(373,1)}
        27:{1,2,3,5,6}:{(12,1),(43,1),(47,1),(48,1),(49,1),(106,1),(107,1),(109,1),(186,1),(242,1),(318,1),(322,1),(373,1),(398,1),(401,1)}
        28:{1,3,5,7}:{(13,1),(15,1),(50,1),(51,1),(113,1),(304,1),(307,1)}
        29:{1,2,4,6}:{(13,1),(16,1),(51,1),(53,1),(115,1),(302,1),(308,1)}
        30:{1,2,4,7}:{(14,1),(50,1),(54,1),(310,1)}
        31:{1,2,3,6}:{(14,1),(51,1),(54,1),(308,1)}
        32:{2,3,4,7}:{(15,1),(21,1),(50,1),(57,1),(126,1),(357,1)}
        33:{2,3,6}:{(15,1),(16,1),(22,1),(51,1)}
        34:{2,4,6,7}:{(16,1),(17,1),(58,1),(60,1),(126,1),(296,1),(300,1)}
        35:{2,5,6}:{(16,1),(18,1),(60,1)}
        36:{1,3,5,7}:{(17,1),(18,1),(19,1),(60,1),(63,1),(129,1),(305,1),(347,1)}
        37:{1,4,5,6}:{(18,1),(20,1),(61,1),(63,1),(70,1),(115,1)}
        38:{2,3,5,6,7}:{(19,1),(62,1),(65,1),(135,1),(213,1),(216,1)}
        39:{2,4,5,7}:{(19,1),(20,1),(63,1),(65,1),(66,1),(126,1)}
        40:{3,4,5,6}:{(20,1),(66,1),(127,1),(289,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(25,1),(57,1),(68,1),(70,1)}
        42:{1,3,6,7}:{(22,1),(23,1),(58,1),(69,1),(349,1)}
        43:{1,3,5,6}:{(22,1),(24,1),(59,1),(68,1),(69,1),(70,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(60,1),(69,1),(347,1)}
        45:{1,2,4,5,6}:{(24,1),(61,1),(70,1),(72,1),(73,1),(75,1),(134,1),(141,1),(145,1),(215,1),(218,1),(281,1),(301,1),(386,1),(391,1),(407,1)}
        46:{1,2,4,6,7}:{(25,1),(26,1),(67,1),(74,1),(76,1),(145,1),(223,1),(287,1),(350,1),(390,1)}
        47:{1,2,5}:{(25,1),(68,1)}
        48:{1,2,3,5,7}:{(26,1),(27,1),(69,1),(74,1),(76,1),(143,1),(146,1),(283,1),(349,1),(389,1)}
        49:{1,2,4,6}:{(27,1),(70,1),(75,1),(76,1),(77,1),(141,1),(352,1),(407,1)}
        50:{1,3,4,7}:{(28,1),(30,1),(32,1),(78,1),(153,1),(338,1)}
        51:{1,3,6}:{(28,1),(29,1),(33,1)}
        52:{1,2,4,6,7}:{(29,1),(34,1),(79,1),(81,1),(153,1),(266,1),(267,1),(269,1)}
        53:{1,2,5,6}:{(29,1),(35,1),(80,1),(81,1),(84,1),(335,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(78,1),(84,1)}
        55:{1,2,3,6,7}:{(31,1),(79,1),(83,1),(85,1),(240,1),(243,1),(269,1),(273,1),(340,1),(341,1)}
        56:{1,2,3,5,6}:{(31,1),(80,1),(84,1),(85,1),(86,1),(157,1),(158,1),(160,1),(185,1),(243,1),(268,1),(272,1),(341,1),(382,1),(385,1)}
        57:{2,3,4,6}:{(32,1),(33,1),(41,1),(78,1),(88,1),(90,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(42,1),(79,1),(89,1),(170,1),(332,1)}
        59:{2,3,5,6}:{(33,1),(35,1),(43,1),(80,1),(88,1),(89,1),(90,1),(93,1)}
        60:{2,5,7}:{(34,1),(35,1),(36,1)}
        61:{2,4,5,6}:{(35,1),(37,1),(90,1),(92,1),(93,1)}
        62:{1,3,5,6,7}:{(36,1),(38,1),(91,1),(94,1),(170,1),(258,1),(260,1)}
        63:{1,4,5,7}:{(36,1),(37,1),(39,1),(92,1),(94,1),(102,1),(153,1)}
        64:{1,3,4,5,6}:{(37,1),(40,1),(93,1),(95,1),(96,1),(103,1),(154,1),(172,1),(261,1),(311,1),(324,1),(375,1),(402,1)}
        65:{2,4,6,7}:{(38,1),(39,1),(94,1),(98,1)}
        66:{3,4,5,7}:{(39,1),(40,1),(98,1),(167,1),(252,1)}
        67:{1,3,4,6,7}:{(41,1),(42,1),(46,1),(87,1),(99,1),(102,1),(110,1),(176,1),(186,1),(246,1),(316,1),(320,1),(372,1),(399,1),(400,1)}
        68:{1,3,5}:{(41,1),(47,1),(88,1),(100,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(89,1),(102,1)}
        70:{1,4,6}:{(43,1),(90,1),(100,1),(102,1)}
        71:{1,2,5,6,7}:{(44,1),(91,1),(101,1),(104,1),(107,1),(260,1),(265,1),(319,1),(334,1),(371,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(92,1),(102,1),(104,1),(105,1),(175,1),(179,1),(181,1),(259,1),(265,1),(317,1),(371,1),(379,1),(400,1)}
        73:{1,3,5,6}:{(45,1),(93,1),(103,1),(105,1),(106,1),(109,1),(186,1),(318,1),(402,1)}
        74:{1,2,5,7}:{(46,1),(47,1),(99,1),(107,1),(265,1),(401,1)}
        75:{1,2,4,5}:{(47,1),(49,1),(100,1),(109,1),(178,1),(401,1),(411,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(102,1),(110,1),(181,1),(400,1)}
        77:{1,3,4,6}:{(49,1),(109,1),(110,1),(111,1),(186,1),(318,1),(370,1)}
        78:{1,3,4,6}:{(50,1),(51,1),(54,1),(57,1),(113,1),(115,1)}
        79:{1,3,6,7}:{(51,1),(52,1),(58,1),(114,1),(307,1)}
        80:{1,3,5,6}:{(51,1),(53,1),(59,1),(113,1),(114,1),(115,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(60,1),(114,1),(305,1)}
        82:{1,2,4,5,6}:{(53,1),(61,1),(115,1),(117,1),(118,1),(120,1),(134,1),(196,1),(200,1),(215,1),(225,1),(274,1),(343,1),(362,1),(391,1),(396,1)}
        83:{1,2,4,6,7}:{(54,1),(55,1),(112,1),(119,1),(121,1),(200,1),(231,1),(279,1),(308,1),(366,1)}
        84:{1,2,5}:{(54,1),(113,1)}
        85:{1,2,3,5,7}:{(55,1),(56,1),(114,1),(119,1),(121,1),(198,1),(201,1),(227,1),(307,1),(365,1)}
        86:{1,2,4,6}:{(56,1),(115,1),(120,1),(121,1),(122,1),(196,1),(310,1),(396,1)}
        87:{2,3,4,6,7}:{(57,1),(58,1),(67,1),(112,1),(123,1),(126,1),(148,1),(203,1),(205,1),(209,1),(223,1),(228,1),(279,1),(284,1),(360,1),(393,1),(395,1)}
        88:{2,3,5}:{(57,1),(68,1),(113,1),(124,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(60,1),(69,1),(114,1),(126,1),(129,1)}
        90:{2,4,6}:{(59,1),(70,1),(115,1),(124,1),(126,1),(127,1)}
        91:{2,5,6,7}:{(60,1),(62,1),(128,1),(300,1)}
        92:{2,4,5,7}:{(60,1),(61,1),(63,1),(126,1),(128,1),(129,1)}
        93:{3,5,6}:{(61,1),(127,1),(129,1)}
        94:{1,4,6,7}:{(62,1),(63,1),(65,1),(128,1)}
        95:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(129,1),(132,1),(133,1),(140,1),(195,1),(214,1),(222,1),(278,1),(293,1),(358,1),(394,1)}
        96:{2,4,5,6}:{(64,1),(130,1),(133,1),(134,1),(141,1),(196,1),(215,1),(301,1),(343,1)}
        97:{2,4,5,6,7}:{(65,1),(131,1),(135,1),(208,1),(216,1),(361,1)}
        98:{3,4,6,7}:{(65,1),(66,1),(135,1)}
        99:{1,3,5,7}:{(67,1),(68,1),(74,1),(123,1),(136,1),(137,1),(347,1),(408,1)}
       100:{1,4,5}:{(68,1),(70,1),(124,1)}
       101:{1,3,5,6,7}:{(69,1),(71,1),(125,1),(136,1),(139,1),(142,1),(222,1),(282,1),(347,1),(389,1)}
       102:{1,4,7}:{(69,1),(70,1),(126,1)}
       103:{1,3,4,6}:{(70,1),(73,1),(127,1),(138,1),(140,1),(141,1),(407,1),(409,1)}
       104:{1,2,4,6,7}:{(71,1),(72,1),(128,1),(139,1),(142,1),(145,1),(217,1),(223,1),(300,1),(361,1)}
       105:{1,3,5,7}:{(72,1),(73,1),(129,1),(140,1),(142,1),(143,1),(349,1),(394,1)}
       106:{2,3,5,6}:{(73,1),(141,1),(143,1),(144,1),(147,1),(215,1),(228,1),(297,1),(301,1)}
       107:{1,2,5,6}:{(74,1),(136,1),(145,1),(301,1),(350,1)}
       108:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(137,1),(145,1),(146,1),(220,1)}
       109:{1,3,5}:{(75,1),(77,1),(147,1)}
       110:{1,3,4,7}:{(76,1),(77,1),(146,1),(148,1),(349,1)}
       111:{2,3,4,6}:{(77,1),(141,1),(147,1),(148,1),(149,1),(228,1),(297,1),(357,1)}
       112:{1,3,4,6,7}:{(78,1),(79,1),(83,1),(87,1),(150,1),(153,1),(161,1),(189,1),(233,1),(243,1),(266,1),(270,1),(340,1),(383,1),(384,1)}
       113:{1,3,5}:{(78,1),(84,1),(88,1),(151,1)}
       114:{1,3,5,7}:{(79,1),(80,1),(81,1),(89,1),(153,1)}
       115:{1,4,6}:{(80,1),(90,1),(151,1),(153,1)}
       116:{1,2,5,6,7}:{(81,1),(91,1),(152,1),(155,1),(158,1),(260,1),(269,1),(315,1),(334,1),(339,1)}
       117:{1,2,4,5,7}:{(81,1),(82,1),(92,1),(153,1),(155,1),(156,1),(175,1),(236,1),(238,1),(259,1),(267,1),(315,1),(339,1),(379,1),(384,1)}
       118:{1,3,5,6}:{(82,1),(93,1),(154,1),(156,1),(157,1),(160,1),(243,1),(268,1),(402,1)}
       119:{1,2,5,7}:{(83,1),(84,1),(150,1),(158,1),(315,1),(385,1)}
       120:{1,2,4,5}:{(84,1),(86,1),(151,1),(160,1),(235,1),(385,1),(406,1)}
       121:{1,2,4,7}:{(85,1),(86,1),(153,1),(161,1),(238,1),(384,1)}
       122:{1,3,4,6}:{(86,1),(160,1),(161,1),(162,1),(243,1),(268,1),(338,1)}
       123:{2,3,5,7}:{(87,1),(88,1),(99,1),(150,1),(163,1),(164,1),(252,1),(265,1),(315,1),(404,1)}
       124:{2,4,5}:{(88,1),(90,1),(100,1),(151,1),(165,1)}
       125:{2,3,5,6,7}:{(89,1),(91,1),(101,1),(152,1),(163,1),(166,1),(170,1),(183,1),(240,1),(252,1),(265,1),(315,1),(334,1),(380,1),(381,1)}
       126:{2,4,7}:{(89,1),(90,1),(102,1),(153,1),(167,1)}
       127:{3,4,6}:{(90,1),(93,1),(165,1),(167,1)}
       128:{2,4,6,7}:{(91,1),(92,1),(94,1),(170,1)}
       129:{3,5,7}:{(92,1),(93,1),(167,1),(170,1)}
       130:{2,3,5,6}:{(93,1),(96,1),(168,1),(171,1),(172,1),(402,1)}
       131:{1,4,5,6,7}:{(94,1),(97,1),(169,1),(173,1),(179,1),(236,1),(260,1),(333,1)}
       132:{1,3,4,6,7}:{(94,1),(95,1),(98,1),(170,1),(173,1),(174,1),(256,1),(258,1),(333,1),(381,1)}
       133:{2,4,5,7}:{(95,1),(96,1),(171,1),(174,1),(175,1),(181,1),(238,1),(259,1),(265,1),(315,1)}
       134:{1,4,5,6}:{(96,1),(172,1),(175,1),(182,1),(239,1),(335,1),(367,1)}
       135:{3,5,6,7}:{(97,1),(98,1),(252,1),(381,1)}
       136:{1,3,5,6}:{(99,1),(107,1),(163,1),(176,1),(186,1),(320,1),(367,1)}
       137:{1,4,5,7}:{(99,1),(100,1),(102,1),(164,1),(176,1),(400,1),(411,1)}
       138:{1,3,4,5}:{(100,1),(103,1),(109,1),(165,1),(178,1),(411,1),(412,1)}
       139:{1,4,6,7}:{(101,1),(102,1),(166,1),(176,1),(179,1),(400,1)}
       140:{1,3,4,7}:{(102,1),(103,1),(105,1),(167,1),(181,1),(400,1),(405,1)}
       141:{2,4,6}:{(103,1),(106,1),(178,1),(181,1),(182,1)}
       142:{1,3,6,7}:{(104,1),(105,1),(170,1),(183,1),(186,1),(381,1)}
       143:{2,3,5,7}:{(105,1),(106,1),(181,1),(183,1),(184,1),(259,1),(265,1),(332,1)}
       144:{1,3,5,6}:{(106,1),(182,1),(184,1),(185,1),(188,1),(268,1),(270,1),(335,1)}
       145:{1,2,4,6}:{(107,1),(108,1),(176,1),(186,1),(262,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(186,1),(187,1)}
       147:{2,3,5}:{(109,1),(111,1),(178,1),(188,1)}
       148:{2,3,4,7}:{(110,1),(111,1),(181,1),(187,1),(189,1),(332,1)}
       149:{1,3,4,6}:{(111,1),(182,1),(188,1),(189,1),(190,1),(268,1),(270,1),(338,1)}
       150:{1,3,5,7}:{(112,1),(113,1),(119,1),(123,1),(191,1),(192,1),(305,1),(397,1)}
       151:{1,4,5}:{(113,1),(115,1),(124,1)}
       152:{1,3,5,6,7}:{(114,1),(116,1),(125,1),(191,1),(194,1),(197,1),(226,1),(278,1),(305,1),(365,1)}
       153:{1,4,7}:{(114,1),(115,1),(126,1)}
       154:{1,3,4,6}:{(115,1),(118,1),(127,1),(193,1),(195,1),(196,1),(396,1),(409,1)}
       155:{1,2,4,6,7}:{(116,1),(117,1),(128,1),(194,1),(197,1),(200,1),(217,1),(279,1),(300,1),(361,1)}
       156:{1,3,5,7}:{(117,1),(118,1),(129,1),(195,1),(197,1),(198,1),(307,1),(394,1)}
       157:{2,3,5,6}:{(118,1),(196,1),(198,1),(199,1),(202,1),(215,1),(284,1),(297,1),(343,1)}
       158:{1,2,5,6}:{(119,1),(191,1),(200,1),(308,1),(343,1)}
       159:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(192,1),(200,1),(201,1),(276,1)}
       160:{1,3,5}:{(120,1),(122,1),(202,1)}
       161:{1,3,4,7}:{(121,1),(122,1),(201,1),(203,1),(307,1)}
       162:{2,3,4,6}:{(122,1),(196,1),(202,1),(203,1),(204,1),(284,1),(297,1),(357,1)}
       163:{2,3,5,6}:{(123,1),(136,1),(191,1),(205,1),(228,1),(284,1),(289,1),(301,1),(343,1)}
       164:{2,4,5,7}:{(123,1),(124,1),(126,1),(137,1),(192,1),(205,1),(206,1),(395,1),(410,1)}
       165:{3,4,5}:{(124,1),(127,1)}
       166:{2,4,6,7}:{(125,1),(126,1),(139,1),(194,1),(205,1),(208,1),(209,1),(395,1)}
       167:{3,4,7}:{(126,1),(127,1),(129,1)}
       168:{2,3,4,6}:{(127,1),(130,1),(141,1),(196,1),(207,1),(210,1),(211,1),(297,1),(409,1)}
       169:{2,4,5,6,7}:{(128,1),(131,1),(208,1),(212,1),(216,1),(298,1)}
       170:{3,6,7}:{(128,1),(129,1)}
       171:{2,3,5,7}:{(129,1),(130,1),(133,1),(210,1),(213,1),(214,1),(394,1)}
       172:{1,3,5,6}:{(130,1),(134,1),(211,1),(214,1),(215,1)}
       173:{1,3,5,6,7}:{(131,1),(132,1),(135,1),(212,1),(216,1),(222,1),(278,1)}
       174:{2,4,6,7}:{(132,1),(133,1),(213,1),(216,1),(217,1),(300,1)}
       175:{1,4,5,7}:{(133,1),(134,1),(214,1),(217,1),(224,1),(280,1),(305,1),(347,1)}
       176:{1,4,6}:{(136,1),(137,1),(205,1)}
       177:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(146,1),(206,1),(219,1),(220,1),(222,1)}
       178:{2,4,5}:{(138,1),(141,1),(147,1),(221,1)}
       179:{1,4,5,7}:{(139,1),(208,1),(218,1),(222,1),(347,1)}
       180:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(209,1),(219,1),(222,1),(223,1)}
       181:{2,4,7}:{(140,1),(141,1),(143,1),(224,1)}
       182:{1,4,6}:{(141,1),(144,1),(221,1),(224,1)}
       183:{2,3,6,7}:{(142,1),(143,1),(223,1),(226,1),(228,1),(300,1)}
       184:{1,3,5,7}:{(143,1),(144,1),(224,1),(226,1),(227,1),(305,1),(307,1)}
       185:{1,2,5,6}:{(144,1),(215,1),(225,1),(227,1),(230,1),(308,1)}
       186:{1,3,6}:{(145,1),(146,1),(228,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(148,1),(220,1),(228,1),(229,1)}
       188:{1,3,5}:{(147,1),(149,1),(221,1),(230,1)}
       189:{1,3,4,7}:{(148,1),(149,1),(224,1),(229,1),(231,1),(307,1)}
       190:{1,2,4,6}:{(149,1),(230,1),(231,1),(232,1),(308,1),(310,1)}
       191:{1,3,5,6}:{(150,1),(158,1),(163,1),(233,1),(243,1),(270,1),(335,1)}
       192:{1,4,5,7}:{(150,1),(151,1),(153,1),(164,1),(233,1),(384,1),(406,1)}
       193:{1,3,4,5}:{(151,1),(154,1),(160,1),(165,1),(235,1),(406,1),(412,1)}
       194:{1,4,6,7}:{(152,1),(153,1),(166,1),(233,1),(236,1),(384,1)}
       195:{1,3,4,7}:{(153,1),(154,1),(156,1),(167,1),(238,1),(384,1),(405,1)}
       196:{2,4,6}:{(154,1),(157,1),(235,1),(238,1),(239,1)}
       197:{1,3,6,7}:{(155,1),(156,1),(170,1),(240,1),(243,1),(381,1)}
       198:{2,3,5,7}:{(156,1),(157,1),(238,1),(240,1),(241,1),(259,1),(315,1),(332,1)}
       199:{1,3,5,6}:{(157,1),(239,1),(241,1),(242,1),(245,1),(318,1),(320,1),(367,1)}
       200:{1,2,4,6}:{(158,1),(159,1),(233,1),(243,1),(312,1)}
       201:{1,3,5,7}:{(159,1),(160,1),(161,1),(243,1),(244,1)}
       202:{2,3,5}:{(160,1),(162,1),(235,1),(245,1)}
       203:{2,3,4,7}:{(161,1),(162,1),(238,1),(244,1),(246,1),(332,1)}
       204:{1,3,4,6}:{(162,1),(239,1),(245,1),(246,1),(247,1),(318,1),(320,1),(370,1)}
       205:{2,4,6}:{(163,1),(164,1),(176,1),(233,1),(249,1)}
       206:{3,4,5,7}:{(164,1),(165,1),(167,1),(249,1),(252,1),(405,1),(412,1)}
       207:{2,3,4,5}:{(165,1),(168,1),(178,1),(235,1),(251,1),(328,1),(412,1)}
       208:{2,4,5,7}:{(166,1),(179,1),(236,1),(248,1),(252,1),(265,1),(315,1)}
       209:{3,4,6,7}:{(166,1),(167,1),(170,1),(249,1),(252,1),(381,1),(405,1)}
       210:{2,3,4,7}:{(167,1),(168,1),(171,1),(181,1),(238,1),(254,1),(332,1),(405,1)}
       211:{1,3,4,6}:{(168,1),(172,1),(182,1),(239,1),(251,1),(254,1),(255,1),(268,1),(318,1)}
       212:{3,5,6,7}:{(169,1),(170,1),(252,1),(256,1)}
       213:{2,3,6,7}:{(170,1),(171,1),(174,1),(258,1),(381,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(175,1),(254,1),(258,1),(259,1)}
       215:{2,5,6}:{(172,1),(255,1),(259,1)}
       216:{2,5,6,7}:{(173,1),(174,1),(260,1),(265,1),(315,1)}
       217:{1,4,6,7}:{(174,1),(175,1),(258,1),(260,1)}
       218:{1,4,5,6}:{(176,1),(179,1),(248,1),(261,1),(367,1)}
       219:{1,3,4,6}:{(176,1),(177,1),(186,1),(249,1),(261,1),(262,1)}
       220:{2,4,5,7}:{(177,1),(178,1),(181,1),(187,1),(262,1),(263,1),(265,1)}
       221:{1,4,5}:{(178,1),(182,1),(188,1)}
       222:{1,3,5,7}:{(179,1),(180,1),(252,1),(261,1),(265,1)}
       223:{2,4,6,7}:{(180,1),(181,1),(183,1),(262,1),(265,1),(266,1)}
       224:{1,4,7}:{(181,1),(182,1),(184,1)}
       225:{1,2,4,6}:{(182,1),(185,1),(255,1),(264,1),(267,1),(268,1)}
       226:{1,3,6,7}:{(183,1),(184,1),(266,1),(269,1),(270,1)}
       227:{1,2,5,7}:{(184,1),(185,1),(259,1),(267,1),(269,1)}
       228:{2,3,6}:{(186,1),(187,1),(262,1),(270,1)}
       229:{1,3,5,7}:{(187,1),(188,1),(189,1),(263,1),(270,1),(271,1)}
       230:{1,2,5}:{(188,1),(190,1)}
       231:{1,2,4,7}:{(189,1),(190,1),(271,1),(273,1)}
       232:{1,2,3,6}:{(190,1),(268,1),(272,1),(273,1)}
       233:{1,4,6}:{(191,1),(192,1),(205,1)}
       234:{1,3,4,5,7}:{(192,1),(193,1),(195,1),(201,1),(206,1),(275,1),(276,1),(278,1)}
       235:{2,4,5}:{(193,1),(196,1),(202,1),(277,1)}
       236:{1,4,5,7}:{(194,1),(208,1),(274,1),(278,1),(305,1)}
       237:{1,3,4,6,7}:{(194,1),(195,1),(197,1),(209,1),(275,1),(278,1),(279,1)}
       238:{2,4,7}:{(195,1),(196,1),(198,1),(280,1)}
       239:{1,4,6}:{(196,1),(199,1),(277,1),(280,1)}
       240:{2,3,6,7}:{(197,1),(198,1),(279,1),(282,1),(284,1),(300,1)}
       241:{1,3,5,7}:{(198,1),(199,1),(280,1),(282,1),(283,1),(347,1),(349,1)}
       242:{1,2,5,6}:{(199,1),(215,1),(281,1),(283,1),(286,1),(350,1)}
       243:{1,3,6}:{(200,1),(201,1),(284,1)}
       244:{2,3,5,7}:{(201,1),(202,1),(203,1),(276,1),(284,1),(285,1)}
       245:{1,3,5}:{(202,1),(204,1),(277,1),(286,1)}
       246:{1,3,4,7}:{(203,1),(204,1),(280,1),(285,1),(287,1),(349,1)}
       247:{1,2,4,6}:{(204,1),(286,1),(287,1),(288,1),(350,1),(352,1)}
       248:{2,4,5,6}:{(205,1),(208,1),(218,1),(274,1),(289,1),(301,1),(343,1)}
       249:{3,4,6}:{(205,1),(206,1),(289,1)}
       250:{2,3,4,5,7}:{(206,1),(207,1),(210,1),(220,1),(276,1),(290,1),(291,1),(294,1),(356,1),(395,1),(410,1)}
       251:{1,3,4,5}:{(207,1),(211,1),(221,1),(277,1),(292,1),(304,1),(346,1)}
       252:{3,5,7}:{(208,1),(209,1),(289,1)}
       253:{2,3,4,6,7}:{(209,1),(210,1),(213,1),(223,1),(279,1),(290,1),(294,1),(295,1),(298,1),(360,1),(395,1)}
       254:{1,3,4,7}:{(210,1),(211,1),(214,1),(224,1),(280,1),(296,1),(307,1),(349,1)}
       255:{2,4,6}:{(211,1),(215,1),(292,1),(296,1),(297,1)}
       256:{3,4,6,7}:{(212,1),(293,1),(298,1)}
       257:{2,3,5,6,7}:{(212,1),(213,1),(216,1),(294,1),(298,1),(299,1)}
       258:{1,3,6,7}:{(213,1),(214,1),(217,1),(300,1)}
       259:{2,5,7}:{(214,1),(215,1),(296,1),(300,1)}
       260:{1,5,6,7}:{(216,1),(217,1),(305,1),(347,1)}
       261:{1,3,5,6}:{(218,1),(219,1),(222,1),(289,1),(301,1)}
       262:{2,4,6}:{(219,1),(220,1),(228,1),(301,1),(302,1)}
       263:{1,4,5,7}:{(220,1),(221,1),(224,1),(229,1),(302,1),(305,1)}
       264:{1,2,4,5}:{(221,1),(225,1),(230,1),(292,1),(304,1),(310,1)}
       265:{2,5,7}:{(222,1),(223,1),(301,1),(305,1)}
       266:{1,4,6,7}:{(223,1),(224,1),(226,1),(302,1),(305,1)}
       267:{1,2,4,7}:{(224,1),(225,1),(227,1),(296,1),(307,1)}
       268:{1,3,6}:{(225,1),(297,1),(304,1),(307,1)}
       269:{1,2,6,7}:{(226,1),(227,1),(300,1),(308,1)}
       270:{1,3,6}:{(228,1),(229,1),(302,1),(308,1)}
       271:{1,2,5,7}:{(229,1),(230,1),(231,1),(308,1)}
       272:{1,2,3,5}:{(230,1),(232,1),(304,1),(310,1)}
       273:{1,2,3,7}:{(231,1),(232,1),(307,1)}
       274:{1,4,5,6}:{(233,1),(236,1),(248,1),(311,1),(335,1)}
       275:{1,3,4,6}:{(233,1),(234,1),(243,1),(249,1),(311,1),(312,1)}
       276:{2,4,5,7}:{(234,1),(235,1),(238,1),(244,1),(312,1),(313,1),(315,1)}
       277:{1,4,5}:{(235,1),(239,1),(245,1)}
       278:{1,3,5,7}:{(236,1),(237,1),(252,1),(311,1),(315,1)}
       279:{2,4,6,7}:{(237,1),(238,1),(240,1),(312,1),(315,1),(316,1)}
       280:{1,4,7}:{(238,1),(239,1),(241,1)}
       281:{1,2,4,6}:{(239,1),(242,1),(255,1),(314,1),(317,1),(318,1)}
       282:{1,3,6,7}:{(240,1),(241,1),(316,1),(319,1),(320,1)}
       283:{1,2,5,7}:{(241,1),(242,1),(259,1),(317,1),(319,1)}
       284:{2,3,6}:{(243,1),(244,1),(312,1),(320,1)}
       285:{1,3,5,7}:{(244,1),(245,1),(246,1),(313,1),(320,1),(321,1)}
       286:{1,2,5}:{(245,1),(247,1)}
       287:{1,2,4,7}:{(246,1),(247,1),(321,1),(323,1)}
       288:{1,2,3,6}:{(247,1),(318,1),(322,1),(323,1)}
       289:{3,5,6}:{(248,1),(249,1),(252,1)}
       290:{2,3,4,6}:{(249,1),(250,1),(262,1),(312,1),(325,1),(326,1),(377,1),(403,1)}
       291:{1,3,4,5,7}:{(250,1),(251,1),(254,1),(263,1),(313,1),(326,1),(327,1),(330,1),(337,1),(369,1),(384,1),(400,1),(405,1),(406,1),(411,1),(412,1)}
       292:{2,4,5}:{(251,1),(255,1),(328,1)}
       293:{3,4,5,7}:{(252,1),(256,1),(324,1),(329,1),(405,1)}
       294:{2,3,5,7}:{(252,1),(253,1),(265,1),(315,1),(325,1),(329,1),(330,1)}
       295:{1,3,4,6,7}:{(253,1),(254,1),(258,1),(266,1),(316,1),(326,1),(330,1),(331,1),(333,1),(340,1),(372,1),(381,1),(384,1),(400,1),(405,1)}
       296:{2,4,7}:{(254,1),(255,1),(259,1),(332,1)}
       297:{2,3,6}:{(255,1),(268,1),(318,1),(328,1),(332,1)}
       298:{2,4,6,7}:{(256,1),(257,1),(329,1),(333,1)}
       299:{1,3,5,6,7}:{(257,1),(258,1),(260,1),(330,1),(333,1),(334,1),(381,1)}
       300:{2,6,7}:{(258,1),(259,1)}
       301:{2,5,6}:{(261,1),(262,1),(265,1),(335,1)}
       302:{1,4,6}:{(262,1),(263,1),(270,1),(335,1)}
       303:{1,2,4,5,7}:{(263,1),(264,1),(267,1),(271,1),(327,1),(336,1),(337,1),(339,1),(342,1),(384,1),(385,1),(406,1)}
       304:{1,3,5}:{(264,1),(268,1),(328,1),(338,1)}
       305:{1,5,7}:{(265,1),(266,1),(335,1)}
       306:{1,2,4,6,7}:{(266,1),(267,1),(269,1),(331,1),(336,1),(339,1),(340,1),(384,1)}
       307:{1,3,7}:{(267,1),(268,1),(332,1)}
       308:{1,2,6}:{(270,1),(271,1)}
       309:{1,2,3,5,7}:{(271,1),(272,1),(273,1),(337,1),(341,1),(342,1),(385,1)}
       310:{1,2,4}:{(272,1),(338,1)}
       311:{1,3,5,6}:{(274,1),(275,1),(278,1),(289,1),(343,1)}
       312:{2,4,6}:{(275,1),(276,1),(284,1),(343,1),(344,1)}
       313:{1,4,5,7}:{(276,1),(277,1),(280,1),(285,1),(344,1),(347,1)}
       314:{1,2,4,5}:{(277,1),(281,1),(286,1),(292,1),(346,1),(352,1)}
       315:{2,5,7}:{(278,1),(279,1),(343,1),(347,1)}
       316:{1,4,6,7}:{(279,1),(280,1),(282,1),(344,1),(347,1)}
       317:{1,2,4,7}:{(280,1),(281,1),(283,1),(296,1),(349,1)}
       318:{1,3,6}:{(281,1),(297,1),(346,1),(349,1)}
       319:{1,2,6,7}:{(282,1),(283,1),(300,1),(350,1)}
       320:{1,3,6}:{(284,1),(285,1),(344,1),(350,1)}
       321:{1,2,5,7}:{(285,1),(286,1),(287,1),(350,1)}
       322:{1,2,3,5}:{(286,1),(288,1),(346,1),(352,1)}
       323:{1,2,3,7}:{(287,1),(288,1),(349,1)}
       324:{3,4,5,6}:{(289,1),(293,1),(353,1),(409,1)}
       325:{2,3,5,6}:{(289,1),(290,1),(294,1),(301,1),(343,1),(353,1),(354,1)}
       326:{1,3,4,6}:{(290,1),(291,1),(302,1),(344,1),(354,1),(355,1),(363,1),(387,1),(396,1),(407,1),(409,1)}
       327:{2,4,5,7}:{(291,1),(292,1),(296,1),(355,1),(356,1),(359,1),(395,1),(410,1)}
       328:{2,3,5}:{(292,1),(297,1),(304,1),(346,1),(357,1)}
       329:{2,4,5,7}:{(293,1),(294,1),(298,1),(353,1),(358,1),(395,1)}
       330:{1,3,5,7}:{(294,1),(295,1),(305,1),(347,1),(354,1),(358,1),(359,1),(394,1)}
       331:{2,4,6,7}:{(295,1),(296,1),(300,1),(355,1),(359,1),(360,1),(395,1)}
       332:{2,3,7}:{(296,1),(297,1),(307,1),(349,1)}
       333:{1,4,6,7}:{(298,1),(299,1),(358,1),(361,1)}
       334:{2,5,6,7}:{(299,1),(300,1),(359,1),(361,1)}
       335:{1,5,6}:{(301,1),(302,1),(305,1)}
       336:{1,2,4,6}:{(302,1),(303,1),(308,1),(355,1),(362,1),(363,1),(396,1)}
       337:{1,3,5,7}:{(303,1),(304,1),(307,1),(356,1),(363,1),(364,1),(397,1)}
       338:{1,3,4}:{(304,1),(310,1),(357,1)}
       339:{1,2,5,7}:{(305,1),(306,1),(359,1),(362,1),(365,1)}
       340:{1,3,6,7}:{(306,1),(307,1),(360,1),(363,1),(365,1)}
       341:{1,2,3,6}:{(308,1),(309,1),(363,1),(366,1)}
       342:{1,2,4,7}:{(309,1),(310,1),(364,1),(366,1)}
       343:{2,5,6}:{(311,1),(312,1),(315,1),(367,1)}
       344:{1,4,6}:{(312,1),(313,1),(320,1),(367,1)}
       345:{1,2,4,5,7}:{(313,1),(314,1),(317,1),(321,1),(327,1),(368,1),(369,1),(371,1),(374,1),(400,1),(401,1),(411,1)}
       346:{1,3,5}:{(314,1),(318,1),(328,1),(370,1)}
       347:{1,5,7}:{(315,1),(316,1),(367,1)}
       348:{1,2,4,6,7}:{(316,1),(317,1),(319,1),(331,1),(368,1),(371,1),(372,1),(400,1)}
       349:{1,3,7}:{(317,1),(318,1),(332,1)}
       350:{1,2,6}:{(320,1),(321,1)}
       351:{1,2,3,5,7}:{(321,1),(322,1),(323,1),(369,1),(373,1),(374,1),(401,1)}
       352:{1,2,4}:{(322,1),(370,1)}
       353:{2,4,5,6}:{(324,1),(325,1),(329,1),(375,1),(403,1)}
       354:{1,3,5,6}:{(325,1),(326,1),(330,1),(335,1),(367,1),(375,1),(376,1),(402,1)}
       355:{2,4,6}:{(326,1),(327,1),(376,1),(377,1)}
       356:{2,3,5,7}:{(327,1),(328,1),(332,1),(337,1),(369,1),(377,1),(378,1),(404,1)}
       357:{2,3,4}:{(328,1),(338,1),(370,1)}
       358:{1,4,5,7}:{(329,1),(330,1),(333,1),(375,1),(379,1),(384,1),(400,1)}
       359:{2,5,7}:{(330,1),(331,1),(376,1)}
       360:{2,3,6,7}:{(331,1),(332,1),(340,1),(372,1),(377,1),(380,1),(381,1)}
       361:{2,4,6,7}:{(333,1),(334,1),(379,1),(381,1)}
       362:{1,2,5,6}:{(335,1),(336,1),(339,1),(376,1),(382,1),(385,1)}
       363:{1,3,6}:{(336,1),(337,1),(377,1)}
       364:{1,3,4,7}:{(337,1),(338,1),(342,1),(378,1),(383,1),(384,1)}
       365:{1,3,5,7}:{(339,1),(340,1),(380,1),(382,1),(384,1)}
       366:{1,2,4,6}:{(341,1),(342,1),(383,1),(385,1)}
       367:{1,5,6}:{(343,1),(344,1),(347,1)}
       368:{1,2,4,6}:{(344,1),(345,1),(350,1),(355,1),(386,1),(387,1),(407,1)}
       369:{1,3,5,7}:{(345,1),(346,1),(349,1),(356,1),(387,1),(388,1),(408,1)}
       370:{1,3,4}:{(346,1),(352,1),(357,1)}
       371:{1,2,5,7}:{(347,1),(348,1),(359,1),(386,1),(389,1)}
       372:{1,3,6,7}:{(348,1),(349,1),(360,1),(387,1),(389,1)}
       373:{1,2,3,6}:{(350,1),(351,1),(387,1),(390,1)}
       374:{1,2,4,7}:{(351,1),(352,1),(388,1),(390,1)}
       375:{1,4,5,6}:{(353,1),(354,1),(358,1),(391,1),(396,1),(407,1)}
       376:{2,5,6}:{(354,1),(355,1),(359,1)}
       377:{2,3,6}:{(355,1),(356,1),(363,1),(387,1)}
       378:{2,3,4,7}:{(356,1),(357,1),(364,1),(388,1),(393,1),(395,1)}
       379:{2,4,5,7}:{(358,1),(359,1),(361,1),(391,1),(394,1),(395,1)}
       380:{2,3,5,7}:{(359,1),(360,1),(365,1),(389,1),(392,1),(394,1),(395,1)}
       381:{3,6,7}:{(361,1),(394,1)}
       382:{1,3,5,6}:{(362,1),(363,1),(365,1),(392,1),(396,1),(397,1)}
       383:{1,3,4,6}:{(363,1),(364,1),(366,1),(393,1),(396,1),(397,1)}
       384:{1,4,7}:{(365,1),(395,1),(396,1)}
       385:{1,2,5}:{(366,1),(397,1)}
       386:{1,2,5,6}:{(367,1),(368,1),(371,1),(376,1),(398,1),(401,1)}
       387:{1,3,6}:{(368,1),(369,1),(377,1)}
       388:{1,3,4,7}:{(369,1),(370,1),(374,1),(378,1),(399,1),(400,1)}
       389:{1,3,5,7}:{(371,1),(372,1),(380,1),(398,1),(400,1)}
       390:{1,2,4,6}:{(373,1),(374,1),(399,1),(401,1)}
       391:{2,4,5,6}:{(375,1),(376,1),(379,1),(402,1),(403,1)}
       392:{2,3,5,6}:{(376,1),(377,1),(380,1),(382,1),(398,1),(402,1),(403,1),(404,1)}
       393:{2,3,4,6}:{(377,1),(378,1),(383,1),(399,1),(403,1),(404,1)}
       394:{3,5,7}:{(379,1),(381,1),(402,1),(405,1)}
       395:{2,4,7}:{(380,1),(384,1),(400,1),(403,1),(405,1)}
       396:{1,4,6}:{(382,1),(384,1),(403,1),(406,1)}
       397:{1,3,5}:{(383,1),(385,1),(404,1),(406,1)}
       398:{1,3,5,6}:{(386,1),(387,1),(389,1),(392,1),(407,1),(408,1)}
       399:{1,3,4,6}:{(387,1),(388,1),(390,1),(393,1),(407,1),(408,1)}
       400:{1,4,7}:{(389,1),(395,1),(407,1)}
       401:{1,2,5}:{(390,1),(408,1)}
       402:{3,5,6}:{(391,1),(394,1),(409,1)}
       403:{2,4,6}:{(392,1),(395,1),(396,1),(407,1),(409,1),(410,1)}
       404:{2,3,5}:{(393,1),(397,1),(408,1),(410,1)}
       405:{3,4,7}:{(394,1),(395,1),(409,1)}
       406:{1,4,5}:{(396,1),(397,1),(410,1)}
       407:{1,4,6}:{(398,1),(400,1),(403,1),(411,1)}
       408:{1,3,5}:{(399,1),(401,1),(404,1),(411,1)}
       409:{3,4,6}:{(402,1),(403,1),(405,1),(412,1)}
       410:{2,4,5}:{(403,1),(404,1),(406,1),(411,1),(412,1)}
       411:{1,4,5}:{(407,1),(408,1),(410,1)}
       412:{3,4,5}:{(409,1),(410,1)}

2012 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(100,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(39,1),(80,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(30,1),(85,1),(107,1),(112,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(46,1),(85,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(46,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(96,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(18,1),(19,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(20,1),(21,1),(24,1),(49,1),(63,1),(90,1),(96,1)}
         8:{2,3,4,7}:{(1,1),(19,1),(21,1),(62,1),(101,1)}
         9:{2,4,5}:{(2,1),(20,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(23,1),(24,1),(25,1),(63,1)}
        11:{1,3,5}:{(3,1),(22,1),(24,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(73,1),(107,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(73,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(33,1),(34,1),(80,1),(135,1)}
        17:{3,4,5,7}:{(5,1),(34,1),(35,1),(113,1),(133,1)}
        18:{1,3,5,6}:{(6,1),(7,1),(33,1),(36,1),(37,1),(75,1)}
        19:{2,3,5,7}:{(6,1),(8,1),(34,1),(37,1),(38,1)}
        20:{2,4,6}:{(7,1),(9,1),(36,1),(39,1),(40,1)}
        21:{1,3,4,7}:{(7,1),(8,1),(37,1),(40,1),(45,1),(72,1),(86,1),(108,1),(113,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(39,1),(41,1)}
        23:{1,2,5,6}:{(10,1),(36,1),(42,1),(43,1),(46,1),(89,1)}
        24:{1,3,6}:{(10,1),(11,1),(39,1),(45,1)}
        25:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        26:{1,3,4}:{(11,1),(13,1),(41,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(44,1),(46,1),(47,1),(89,1)}
        28:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        29:{1,2,4,6}:{(14,1),(20,1),(48,1),(49,1),(50,1),(90,1)}
        30:{1,3,5}:{(14,1),(22,1),(49,1),(51,1)}
        31:{1,2,3,6}:{(15,1),(49,1),(52,1),(53,1)}
        32:{1,2,4}:{(15,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(54,1),(55,1),(63,1),(90,1),(129,1),(136,1)}
        34:{2,4,5,7}:{(16,1),(17,1),(19,1),(55,1),(56,1),(101,1),(128,1)}
        35:{3,4,6,7}:{(17,1),(56,1),(57,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(55,1),(59,1),(60,1),(97,1)}
        38:{2,3,6,7}:{(19,1),(56,1),(60,1)}
        39:{2,3,6}:{(20,1),(22,1),(24,1),(49,1),(62,1)}
        40:{2,4,7}:{(20,1),(21,1),(59,1),(62,1)}
        41:{2,3,4}:{(22,1),(26,1),(51,1)}
        42:{1,3,5,6}:{(23,1),(24,1),(58,1),(63,1),(64,1),(66,1),(106,1),(129,1)}
        43:{1,2,5,7}:{(23,1),(25,1),(59,1),(64,1),(65,1)}
        44:{1,3,4,6}:{(24,1),(26,1),(27,1),(61,1),(63,1),(66,1),(67,1),(106,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,2,5}:{(27,1),(66,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(68,1)}
        48:{1,2,5,6}:{(29,1),(36,1),(69,1),(70,1),(73,1),(111,1)}
        49:{1,3,6}:{(29,1),(30,1),(39,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,4}:{(30,1),(32,1),(41,1)}
        52:{1,2,4,6}:{(31,1),(32,1),(71,1),(73,1),(74,1),(111,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(75,1),(76,1),(80,1),(135,1),(139,1)}
        55:{1,4,5,7}:{(33,1),(34,1),(37,1),(76,1),(77,1),(86,1),(108,1),(120,1),(131,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(38,1),(77,1),(78,1)}
        57:{3,5,6,7}:{(35,1),(78,1),(79,1),(133,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(42,1),(69,1),(75,1),(80,1),(81,1),(83,1),(118,1),(135,1)}
        59:{2,5,7}:{(36,1),(37,1),(40,1),(82,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(77,1),(82,1),(114,1)}
        61:{2,3,4,6}:{(39,1),(41,1),(44,1),(71,1),(80,1),(83,1),(84,1),(118,1)}
        62:{2,3,7}:{(39,1),(40,1),(45,1),(72,1)}
        63:{1,4,6}:{(42,1),(80,1),(85,1),(86,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(81,1),(86,1),(87,1),(120,1)}
        65:{1,2,6,7}:{(43,1),(82,1),(87,1),(89,1)}
        66:{1,3,5}:{(44,1),(46,1),(83,1),(85,1)}
        67:{1,3,4,7}:{(44,1),(45,1),(47,1),(84,1),(86,1),(88,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(58,1),(90,1),(91,1),(93,1),(123,1),(136,1)}
        70:{1,2,5,7}:{(48,1),(50,1),(59,1),(91,1),(92,1)}
        71:{1,3,4,6}:{(49,1),(51,1),(52,1),(61,1),(90,1),(93,1),(94,1),(123,1)}
        72:{1,3,7}:{(49,1),(50,1),(62,1)}
        73:{1,2,5}:{(52,1),(93,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(94,1),(95,1)}
        75:{3,5,6}:{(54,1),(96,1),(97,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(59,1),(97,1),(98,1),(101,1),(128,1),(138,1)}
        77:{1,4,6,7}:{(55,1),(56,1),(60,1),(98,1),(99,1)}
        78:{2,5,6,7}:{(56,1),(57,1),(99,1),(128,1)}
        79:{4,5,6,7}:{(57,1),(138,1)}
        80:{2,4,6}:{(58,1),(63,1),(90,1),(96,1),(100,1),(101,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(62,1),(64,1),(91,1),(97,1),(101,1),(102,1),(128,1)}
        82:{2,6,7}:{(59,1),(60,1)}
        83:{2,3,5}:{(61,1),(66,1),(93,1),(100,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(67,1),(94,1),(101,1),(103,1)}
        85:{1,4,5}:{(63,1),(66,1),(100,1)}
        86:{1,4,7}:{(63,1),(64,1),(101,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(102,1),(105,1),(106,1)}
        88:{1,3,5,7}:{(66,1),(67,1),(68,1),(103,1),(104,1),(106,1)}
        89:{1,2,6}:{(68,1),(106,1)}
        90:{1,4,6}:{(69,1),(80,1),(107,1),(108,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(108,1),(109,1),(131,1)}
        92:{1,2,6,7}:{(70,1),(82,1),(109,1),(111,1)}
        93:{1,3,5}:{(71,1),(73,1),(83,1),(107,1)}
        94:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(108,1),(110,1)}
        95:{1,2,5,7}:{(73,1),(74,1),(110,1),(111,1)}
        96:{3,4,6}:{(75,1),(80,1),(112,1),(113,1)}
        97:{3,5,7}:{(75,1),(76,1),(113,1),(114,1)}
        98:{2,4,6,7}:{(76,1),(77,1),(82,1),(114,1),(115,1),(134,1)}
        99:{1,5,6,7}:{(77,1),(78,1),(115,1),(120,1),(131,1)}
       100:{2,4,5}:{(80,1),(83,1),(85,1),(107,1),(112,1)}
       101:{2,4,7}:{(80,1),(81,1),(86,1),(108,1),(113,1)}
       102:{2,3,6,7}:{(81,1),(82,1),(87,1),(109,1),(114,1),(117,1),(118,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(85,1),(86,1),(88,1),(116,1),(119,1),(120,1)}
       105:{1,4,6,7}:{(86,1),(87,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(119,1)}
       107:{1,4,5}:{(90,1),(93,1),(100,1)}
       108:{1,4,7}:{(90,1),(91,1),(101,1)}
       109:{1,3,6,7}:{(91,1),(92,1),(102,1),(122,1),(123,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(121,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{3,4,5}:{(96,1),(100,1)}
       113:{3,4,7}:{(96,1),(97,1),(101,1)}
       114:{3,6,7}:{(97,1),(98,1)}
       115:{2,5,6,7}:{(98,1),(99,1),(126,1),(128,1)}
       116:{2,4,5,7}:{(100,1),(101,1),(103,1),(104,1),(121,1),(124,1),(127,1),(128,1)}
       117:{2,4,6,7}:{(101,1),(102,1),(105,1),(122,1),(125,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(127,1)}
       119:{1,4,6}:{(104,1),(106,1),(127,1),(129,1)}
       120:{1,5,7}:{(105,1),(128,1),(129,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(110,1),(116,1),(130,1),(131,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(130,1)}
       124:{3,4,5,7}:{(112,1),(113,1),(116,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(117,1),(132,1),(133,1),(134,1)}
       126:{3,5,6,7}:{(114,1),(115,1),(133,1),(134,1)}
       127:{2,4,6}:{(116,1),(118,1),(119,1),(130,1),(132,1),(135,1)}
       128:{2,5,7}:{(117,1),(120,1),(131,1),(133,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,4,6}:{(121,1),(123,1),(127,1),(136,1)}
       131:{1,5,7}:{(122,1),(128,1),(136,1)}
       132:{3,4,6}:{(124,1),(127,1),(137,1)}
       133:{3,5,7}:{(125,1),(128,1),(137,1),(138,1)}
       134:{4,6,7}:{(126,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2013 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

2014 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2015 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2016 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

2017 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2018 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(39,1),(40,1),(96,1),(100,1),(178,1),(192,1),(276,1),(281,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(55,1),(143,1),(315,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(20,1),(25,1),(61,1),(139,1),(227,1),(311,1)}
         3:{1,2,4,5}:{(1,1),(9,1),(32,1),(281,1),(349,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(39,1),(178,1),(183,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(90,1),(346,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(39,1),(98,1),(188,1),(192,1),(271,1),(411,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(31,1),(48,1),(95,1),(206,1),(207,1),(293,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(21,1),(28,1),(55,1),(78,1),(127,1),(130,1),(137,1),(138,1),(212,1),(233,1),(252,1),(307,1),(315,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,2,4,5,7}:{(3,1),(5,1),(20,1),(21,1),(25,1),(58,1),(72,1)}
        11:{2,3,4,6}:{(4,1),(19,1),(22,1),(23,1),(55,1),(66,1),(152,1),(156,1),(215,1),(219,1)}
        12:{1,3,4,7}:{(4,1),(5,1),(20,1),(23,1),(227,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(132,1),(239,1),(386,1),(387,1)}
        14:{2,4,5,6}:{(7,1),(27,1),(28,1),(29,1),(55,1),(78,1),(137,1)}
        15:{1,3,4,5,7}:{(7,1),(29,1),(30,1),(56,1),(79,1),(133,1),(248,1),(249,1),(327,1)}
        16:{1,3,4,5}:{(9,1),(31,1),(32,1),(349,1),(363,1),(399,1)}
        17:{1,3,5,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(39,1),(178,1),(293,1),(343,1)}
        18:{1,2,4,5,7}:{(8,1),(35,1),(36,1),(50,1),(90,1),(116,1),(175,1),(179,1),(181,1),(182,1),(257,1),(272,1),(289,1),(339,1),(346,1)}
        19:{2,3,5}:{(9,1),(11,1),(32,1),(37,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(38,1),(39,1)}
        21:{1,2,4,6}:{(10,1),(39,1),(40,1),(94,1),(104,1)}
        22:{1,3,4,6}:{(11,1),(37,1),(41,1),(42,1),(89,1),(102,1),(178,1),(183,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(38,1),(42,1),(90,1),(199,1),(260,1)}
        24:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(43,1),(44,1),(104,1),(271,1),(275,1),(346,1),(354,1),(357,1),(358,1)}
        25:{1,2,5,7}:{(13,1),(40,1),(44,1),(181,1),(281,1)}
        26:{2,3,4,5}:{(32,1),(45,1),(46,1),(171,1),(363,1)}
        27:{2,3,5,6}:{(14,1),(45,1),(48,1),(49,1),(293,1)}
        28:{1,4,5,6}:{(14,1),(48,1),(50,1),(89,1),(186,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(49,1),(50,1),(51,1),(90,1),(116,1),(181,1)}
        30:{1,3,4,6,7}:{(15,1),(51,1),(52,1),(117,1),(209,1),(210,1),(295,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(55,1),(56,1),(315,1),(330,1),(373,1)}
        32:{2,4,5}:{(16,1),(19,1),(55,1),(57,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(56,1),(58,1),(59,1),(72,1),(133,1),(151,1)}
        34:{2,3,5,6}:{(17,1),(19,1),(55,1),(60,1),(61,1),(66,1),(78,1),(137,1),(152,1),(212,1),(215,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(56,1),(61,1),(62,1),(227,1),(327,1),(370,1)}
        36:{1,2,4,6,7}:{(18,1),(21,1),(62,1),(63,1),(81,1),(132,1),(142,1),(161,1),(224,1),(254,1),(298,1),(367,1)}
        37:{1,3,5}:{(19,1),(22,1),(57,1),(64,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(23,1),(58,1),(65,1),(66,1)}
        39:{1,3,6}:{(20,1),(21,1),(66,1)}
        40:{1,2,5,6}:{(21,1),(25,1),(67,1),(137,1),(386,1)}
        41:{1,2,4,6}:{(22,1),(64,1),(68,1),(69,1),(143,1),(145,1)}
        42:{1,3,4,7}:{(22,1),(23,1),(65,1),(69,1),(131,1),(227,1)}
        43:{2,3,4,6,7}:{(23,1),(24,1),(66,1),(70,1),(71,1),(132,1),(147,1),(238,1),(246,1),(250,1),(301,1),(305,1),(319,1),(322,1),(324,1),(326,1),(369,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(67,1),(71,1),(72,1),(314,1),(379,1)}
        45:{2,3,4,6}:{(26,1),(27,1),(55,1),(73,1),(74,1),(215,1),(330,1)}
        46:{1,3,4,5}:{(26,1),(57,1),(73,1),(75,1),(134,1)}
        47:{2,3,4,5,7}:{(26,1),(58,1),(74,1),(76,1),(77,1),(151,1),(155,1),(220,1),(245,1),(369,1),(372,1),(388,1),(390,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(73,1),(78,1),(79,1)}
        49:{2,3,5,7}:{(27,1),(29,1),(74,1),(79,1),(80,1),(327,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(79,1),(81,1),(131,1),(229,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(80,1),(81,1),(82,1),(161,1)}
        52:{1,3,5,6,7}:{(30,1),(82,1),(83,1),(133,1),(165,1)}
        53:{2,3,4,5}:{(32,1),(84,1),(85,1),(112,1),(399,1)}
        54:{1,3,4,5,6}:{(31,1),(87,1),(88,1),(95,1),(166,1),(267,1),(268,1),(343,1)}
        55:{2,4,6}:{(31,1),(32,1),(34,1),(89,1),(90,1)}
        56:{1,3,4,7}:{(31,1),(35,1),(90,1),(346,1),(360,1),(396,1)}
        57:{1,4,5}:{(32,1),(37,1),(89,1)}
        58:{2,4,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(94,1),(181,1)}
        59:{1,3,4,6}:{(33,1),(39,1),(94,1),(95,1),(104,1),(195,1)}
        60:{1,3,5,6}:{(34,1),(37,1),(89,1),(96,1),(97,1),(102,1),(178,1),(186,1)}
        61:{2,3,5,7}:{(34,1),(35,1),(90,1),(97,1),(98,1),(116,1),(181,1),(199,1),(257,1),(260,1)}
        62:{1,3,6,7}:{(35,1),(36,1),(39,1),(98,1),(295,1),(394,1)}
        63:{1,2,5,6,7}:{(36,1),(40,1),(99,1),(119,1),(181,1),(208,1),(269,1),(272,1),(335,1),(408,1)}
        64:{1,2,5}:{(37,1),(41,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(42,1),(93,1),(101,1),(102,1)}
        66:{2,3,6}:{(38,1),(39,1),(94,1),(102,1)}
        67:{1,3,5,6}:{(39,1),(40,1),(44,1),(103,1),(104,1),(352,1),(357,1)}
        68:{1,2,3,6}:{(41,1),(100,1),(105,1),(178,1)}
        69:{1,2,4,7}:{(41,1),(42,1),(101,1),(105,1)}
        70:{1,3,4,6,7}:{(42,1),(43,1),(102,1),(106,1),(107,1),(180,1),(194,1),(271,1),(275,1),(283,1),(285,1),(346,1)}
        71:{2,3,5,7}:{(43,1),(44,1),(103,1),(107,1),(108,1),(181,1),(274,1),(291,1),(341,1),(348,1)}
        72:{1,4,5,7}:{(44,1),(104,1),(108,1),(346,1),(349,1)}
        73:{1,3,4,6}:{(45,1),(46,1),(48,1),(89,1),(109,1),(110,1),(178,1)}
        74:{2,3,4,7}:{(45,1),(49,1),(90,1),(110,1),(260,1),(360,1)}
        75:{2,4,5}:{(46,1),(109,1),(112,1)}
        76:{1,3,4,5,7}:{(46,1),(47,1),(93,1),(110,1),(113,1),(114,1),(184,1),(201,1),(287,1),(346,1),(349,1),(360,1),(363,1),(412,1),(414,1)}
        77:{2,3,4,6}:{(47,1),(94,1),(114,1),(115,1),(195,1),(265,1),(284,1),(342,1)}
        78:{2,5,6}:{(48,1),(109,1),(116,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(110,1),(116,1),(117,1)}
        80:{2,3,6,7}:{(49,1),(51,1),(117,1),(295,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(117,1),(119,1)}
        82:{2,5,6,7}:{(51,1),(52,1),(119,1),(181,1)}
        83:{1,4,5,6,7}:{(52,1),(120,1),(182,1),(209,1),(297,1)}
        84:{2,3,4,6}:{(53,1),(55,1),(121,1),(122,1),(123,1),(152,1),(373,1)}
        85:{1,3,4,5}:{(53,1),(57,1),(122,1),(124,1),(134,1)}
        86:{2,3,4,5,7}:{(53,1),(58,1),(123,1),(125,1),(126,1),(151,1),(157,1),(218,1),(245,1),(326,1),(329,1),(418,1),(420,1)}
        87:{2,4,5,6}:{(54,1),(55,1),(121,1),(127,1),(128,1),(137,1),(212,1)}
        88:{1,3,4,5,7}:{(54,1),(56,1),(128,1),(129,1),(133,1),(213,1),(303,1),(304,1),(370,1)}
        89:{1,4,6}:{(55,1),(57,1),(60,1),(131,1)}
        90:{2,4,7}:{(55,1),(56,1),(61,1),(131,1)}
        91:{1,3,4,6,7}:{(56,1),(59,1),(62,1),(132,1),(133,1),(142,1),(238,1)}
        92:{1,2,4,5}:{(57,1),(64,1),(75,1),(124,1),(130,1),(134,1),(143,1)}
        93:{1,4,5,7}:{(57,1),(58,1),(65,1),(131,1),(136,1),(229,1)}
        94:{2,4,6}:{(58,1),(59,1),(66,1),(136,1),(137,1)}
        95:{1,3,5,6}:{(59,1),(133,1),(137,1),(138,1),(235,1)}
        96:{1,2,5,6}:{(60,1),(64,1),(78,1),(130,1),(139,1),(145,1),(212,1)}
        97:{1,3,5,7}:{(60,1),(61,1),(131,1),(139,1),(140,1),(227,1),(229,1)}
        98:{2,3,6,7}:{(61,1),(62,1),(66,1),(132,1),(140,1),(161,1),(298,1)}
        99:{1,3,5,6,7}:{(62,1),(63,1),(67,1),(133,1),(141,1),(142,1),(311,1),(379,1),(383,1)}
       100:{1,2,3,5}:{(64,1),(68,1),(134,1),(143,1)}
       101:{1,2,5,7}:{(64,1),(65,1),(69,1),(145,1)}
       102:{1,3,6}:{(65,1),(66,1),(136,1),(145,1)}
       103:{2,3,5,6}:{(66,1),(67,1),(71,1),(137,1),(146,1),(147,1),(235,1),(317,1),(322,1)}
       104:{1,4,6}:{(67,1),(72,1),(147,1)}
       105:{1,2,3,7}:{(68,1),(69,1),(227,1)}
       106:{1,2,4,6,7}:{(69,1),(70,1),(145,1),(148,1),(149,1),(239,1),(241,1),(243,1),(319,1)}
       107:{1,3,5,7}:{(70,1),(71,1),(146,1),(149,1),(150,1),(229,1),(314,1)}
       108:{2,4,5,7}:{(71,1),(72,1),(147,1),(150,1),(151,1),(326,1),(329,1),(369,1),(372,1)}
       109:{2,4,6}:{(73,1),(75,1),(78,1),(152,1),(153,1)}
       110:{1,3,4,7}:{(73,1),(74,1),(79,1),(131,1),(153,1),(227,1)}
       111:{2,3,4,6,7}:{(74,1),(77,1),(80,1),(132,1),(154,1),(155,1),(163,1),(238,1),(301,1),(319,1),(333,1),(369,1),(388,1)}
       112:{2,3,5}:{(75,1),(134,1),(152,1),(156,1)}
       113:{2,4,5,7}:{(75,1),(76,1),(153,1),(157,1),(158,1),(247,1),(326,1),(329,1),(429,1),(430,1)}
       114:{1,3,4,6}:{(76,1),(77,1),(136,1),(158,1),(159,1),(232,1),(315,1),(323,1),(330,1)}
       115:{2,3,5,6}:{(77,1),(137,1),(155,1),(159,1),(160,1),(235,1),(317,1)}
       116:{2,5,7}:{(78,1),(79,1),(153,1),(161,1)}
       117:{1,3,6,7}:{(79,1),(80,1),(81,1),(161,1)}
       118:{2,3,5,6,7}:{(80,1),(82,1),(155,1),(162,1),(163,1),(165,1),(256,1),(333,1)}
       119:{1,5,6,7}:{(81,1),(82,1),(229,1)}
       120:{2,4,5,6,7}:{(82,1),(83,1),(163,1),(164,1),(165,1),(230,1),(254,1),(256,1)}
       121:{2,3,5,6}:{(84,1),(87,1),(166,1),(167,1),(343,1)}
       122:{1,3,4,6}:{(84,1),(85,1),(89,1),(166,1),(168,1),(169,1),(178,1)}
       123:{2,3,4,7}:{(84,1),(90,1),(167,1),(169,1),(199,1),(396,1)}
       124:{2,4,5}:{(85,1),(168,1),(171,1)}
       125:{1,3,4,5,7}:{(85,1),(86,1),(93,1),(169,1),(172,1),(173,1),(184,1),(262,1),(287,1),(346,1),(349,1),(396,1),(399,1),(433,1),(435,1)}
       126:{2,3,4,6}:{(86,1),(94,1),(173,1),(174,1),(195,1),(204,1),(284,1),(292,1)}
       127:{1,4,5,6}:{(87,1),(89,1),(166,1),(175,1),(186,1)}
       128:{2,4,5,7}:{(87,1),(88,1),(90,1),(167,1),(175,1),(176,1),(181,1),(257,1)}
       129:{1,3,4,6,7}:{(88,1),(176,1),(177,1),(258,1),(336,1),(337,1),(394,1)}
       130:{1,2,4,6}:{(89,1),(92,1),(96,1),(109,1),(168,1),(178,1),(179,1)}
       131:{1,4,7}:{(89,1),(90,1),(97,1)}
       132:{2,4,6,7}:{(90,1),(91,1),(94,1),(98,1),(180,1),(181,1)}
       133:{1,3,5,7}:{(91,1),(95,1),(181,1),(182,1),(274,1)}
       134:{1,3,5}:{(92,1),(112,1),(171,1),(178,1),(183,1)}
       135:{1,2,4,5,7}:{(92,1),(93,1),(101,1),(113,1),(172,1),(179,1),(184,1),(185,1),(191,1),(272,1),(281,1),(287,1),(346,1),(349,1),(359,1),(437,1),(438,1)}
       136:{1,4,6}:{(93,1),(94,1),(102,1),(186,1)}
       137:{2,5,6}:{(94,1),(95,1),(181,1),(186,1)}
       138:{1,4,5,6}:{(95,1),(104,1),(182,1),(187,1),(352,1)}
       139:{1,2,5,7}:{(96,1),(97,1),(116,1),(179,1),(188,1),(257,1)}
       140:{1,3,6,7}:{(97,1),(98,1),(102,1),(180,1),(188,1)}
       141:{2,3,5,6,7}:{(98,1),(99,1),(103,1),(181,1),(189,1),(190,1),(208,1),(274,1),(288,1),(295,1),(335,1),(338,1),(348,1),(353,1),(394,1)}
       142:{1,4,6,7}:{(99,1),(104,1),(182,1),(190,1),(346,1)}
       143:{1,2,4}:{(100,1),(183,1)}
       144:{1,2,3,5,7}:{(100,1),(101,1),(105,1),(184,1),(191,1),(192,1),(281,1),(359,1),(411,1),(440,1)}
       145:{1,2,6}:{(101,1),(102,1)}
       146:{1,3,5,6}:{(102,1),(103,1),(107,1),(186,1),(193,1),(194,1),(283,1)}
       147:{2,4,6}:{(103,1),(104,1),(108,1),(194,1),(195,1)}
       148:{1,2,3,6,7}:{(105,1),(106,1),(192,1),(196,1),(271,1),(283,1),(353,1),(408,1)}
       149:{1,2,5,7}:{(106,1),(107,1),(193,1),(281,1),(348,1)}
       150:{1,4,5,7}:{(107,1),(108,1),(194,1),(346,1),(349,1)}
       151:{3,4,5,7}:{(108,1),(195,1),(274,1),(360,1),(363,1),(396,1),(399,1)}
       152:{2,3,6}:{(109,1),(112,1),(178,1),(199,1)}
       153:{2,4,7}:{(109,1),(110,1),(116,1),(199,1)}
       154:{1,3,4,6,7}:{(110,1),(111,1),(114,1),(117,1),(180,1),(200,1),(201,1),(209,1),(271,1),(295,1),(346,1),(354,1),(360,1),(366,1),(412,1)}
       155:{2,3,5,7}:{(111,1),(115,1),(181,1),(201,1),(202,1),(274,1),(348,1)}
       156:{2,3,4}:{(112,1),(183,1)}
       157:{2,3,5,7}:{(112,1),(113,1),(184,1),(199,1),(203,1),(204,1),(291,1),(441,1),(442,1)}
       158:{2,4,6}:{(113,1),(114,1),(204,1),(205,1)}
       159:{1,3,5,6}:{(114,1),(115,1),(186,1),(201,1),(205,1),(206,1),(293,1),(352,1)}
       160:{2,4,5,6}:{(115,1),(202,1),(206,1),(207,1),(342,1)}
       161:{2,6,7}:{(116,1),(117,1)}
       162:{1,3,5,6,7}:{(117,1),(118,1),(119,1),(201,1),(208,1),(209,1),(295,1),(297,1),(366,1)}
       163:{2,4,6,7}:{(118,1),(202,1),(209,1),(210,1)}
       164:{1,4,5,6,7}:{(119,1),(120,1),(209,1),(211,1),(273,1)}
       165:{3,5,6,7}:{(120,1),(210,1),(274,1),(295,1)}
       166:{1,3,5,6}:{(121,1),(122,1),(127,1),(212,1),(213,1)}
       167:{2,3,5,7}:{(121,1),(123,1),(128,1),(213,1),(214,1),(370,1)}
       168:{2,4,6}:{(122,1),(124,1),(212,1),(215,1),(216,1)}
       169:{1,3,4,7}:{(122,1),(123,1),(131,1),(213,1),(216,1),(227,1)}
       170:{2,3,4,6,7}:{(123,1),(126,1),(132,1),(214,1),(217,1),(218,1),(238,1),(246,1),(300,1),(319,1),(326,1),(416,1),(418,1)}
       171:{2,3,5}:{(124,1),(134,1),(215,1),(219,1)}
       172:{2,4,5,7}:{(124,1),(125,1),(216,1),(220,1),(221,1),(302,1),(369,1),(372,1),(444,1),(445,1)}
       173:{1,3,4,6}:{(125,1),(126,1),(136,1),(221,1),(222,1),(232,1),(315,1),(323,1),(373,1)}
       174:{2,3,5,6}:{(126,1),(137,1),(218,1),(222,1),(223,1),(235,1),(317,1)}
       175:{1,4,5,7}:{(127,1),(128,1),(131,1),(213,1),(224,1),(229,1)}
       176:{2,4,6,7}:{(128,1),(129,1),(214,1),(224,1),(225,1),(298,1)}
       177:{1,3,5,6,7}:{(129,1),(133,1),(225,1),(226,1),(310,1)}
       178:{1,3,6}:{(130,1),(134,1),(152,1),(215,1),(227,1)}
       179:{1,2,4,7}:{(130,1),(131,1),(139,1),(153,1),(216,1),(227,1)}
       180:{1,4,6,7}:{(131,1),(132,1),(136,1),(140,1),(229,1)}
       181:{2,5,7}:{(132,1),(133,1),(137,1),(229,1)}
       182:{1,4,5,7}:{(133,1),(138,1),(142,1),(230,1),(379,1)}
       183:{1,3,4}:{(134,1),(143,1),(156,1),(219,1)}
       184:{1,3,5,7}:{(134,1),(135,1),(157,1),(220,1),(227,1),(231,1),(232,1),(314,1),(447,1),(448,1)}
       185:{1,2,4,6}:{(135,1),(136,1),(145,1),(158,1),(221,1),(232,1),(233,1),(315,1),(323,1),(386,1)}
       186:{1,5,6}:{(136,1),(137,1),(229,1)}
       187:{2,4,5,6}:{(137,1),(138,1),(147,1),(230,1),(234,1),(235,1),(317,1)}
       188:{1,2,6,7}:{(139,1),(140,1),(145,1),(161,1),(298,1)}
       189:{1,3,5,6,7}:{(140,1),(141,1),(146,1),(229,1),(236,1),(237,1),(311,1),(313,1),(318,1)}
       190:{2,4,6,7}:{(141,1),(142,1),(147,1),(230,1),(237,1),(238,1),(326,1),(369,1)}
       191:{1,2,4,7}:{(143,1),(144,1),(231,1),(239,1),(449,1)}
       192:{1,2,3,6}:{(144,1),(145,1),(232,1),(239,1),(386,1)}
       193:{1,2,5,6}:{(145,1),(146,1),(149,1),(241,1),(317,1)}
       194:{1,4,6}:{(146,1),(147,1),(150,1)}
       195:{3,4,6}:{(147,1),(151,1),(235,1)}
       196:{1,2,3,5,7}:{(148,1),(149,1),(240,1),(243,1),(244,1),(311,1),(378,1),(424,1),(447,1)}
       197:{1,2,4,5,7}:{(149,1),(150,1),(241,1),(243,1),(244,1),(245,1),(320,1)}
       198:{1,3,4,5,7}:{(150,1),(151,1),(242,1),(244,1),(245,1),(313,1),(377,1),(380,1)}
       199:{2,3,7}:{(152,1),(153,1),(227,1)}
       200:{2,4,6,7}:{(153,1),(154,1),(158,1),(161,1),(246,1),(247,1),(326,1),(393,1),(429,1)}
       201:{1,3,5,7}:{(154,1),(155,1),(159,1),(229,1),(247,1),(248,1),(327,1),(379,1)}
       202:{2,4,5,7}:{(155,1),(160,1),(163,1),(248,1),(249,1),(369,1)}
       203:{2,3,4,7}:{(156,1),(157,1),(231,1),(250,1),(326,1),(450,1)}
       204:{2,3,6}:{(157,1),(158,1),(232,1)}
       205:{2,5,6}:{(158,1),(159,1),(247,1)}
       206:{1,4,5,6}:{(159,1),(160,1),(248,1),(252,1),(315,1)}
       207:{3,4,5,6}:{(160,1),(235,1),(249,1),(373,1)}
       208:{2,5,6,7}:{(161,1),(162,1),(247,1),(254,1),(393,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(248,1),(254,1)}
       210:{3,4,6,7}:{(163,1),(165,1),(249,1)}
       211:{1,3,5,6,7}:{(164,1),(165,1),(255,1),(256,1),(313,1)}
       212:{2,5,6}:{(166,1),(168,1),(257,1)}
       213:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(257,1),(258,1)}
       214:{2,3,6,7}:{(167,1),(176,1),(258,1),(394,1)}
       215:{2,3,6}:{(168,1),(171,1),(178,1),(260,1)}
       216:{2,4,7}:{(168,1),(169,1),(257,1),(260,1)}
       217:{1,3,4,6,7}:{(169,1),(170,1),(173,1),(180,1),(258,1),(261,1),(262,1),(271,1),(336,1),(346,1),(354,1),(394,1),(396,1),(432,1),(433,1)}
       218:{2,3,5,7}:{(170,1),(174,1),(181,1),(262,1),(263,1),(274,1),(348,1)}
       219:{2,3,4}:{(171,1),(183,1)}
       220:{2,3,5,7}:{(171,1),(172,1),(184,1),(260,1),(264,1),(265,1),(341,1),(451,1),(452,1)}
       221:{2,4,6}:{(172,1),(173,1),(265,1),(266,1)}
       222:{1,3,5,6}:{(173,1),(174,1),(186,1),(262,1),(266,1),(267,1),(343,1),(352,1)}
       223:{2,4,5,6}:{(174,1),(263,1),(267,1),(268,1),(292,1)}
       224:{1,4,6,7}:{(175,1),(176,1),(258,1),(269,1)}
       225:{2,5,6,7}:{(176,1),(177,1),(181,1),(269,1)}
       226:{1,4,5,6,7}:{(177,1),(182,1),(270,1),(336,1),(402,1)}
       227:{1,3,7}:{(178,1),(179,1),(199,1),(260,1)}
       228:{1,2,4,6,7}:{(179,1),(180,1),(185,1),(188,1),(200,1),(261,1),(271,1),(272,1),(346,1),(354,1),(408,1),(437,1)}
       229:{1,5,7}:{(180,1),(181,1),(186,1)}
       230:{2,4,5,7}:{(181,1),(182,1),(187,1),(190,1),(273,1),(274,1),(348,1)}
       231:{1,3,4,7}:{(183,1),(184,1),(191,1),(203,1),(264,1),(275,1),(346,1),(453,1)}
       232:{1,3,6}:{(184,1),(185,1),(204,1),(265,1)}
       233:{1,2,5,6}:{(185,1),(186,1),(205,1),(266,1),(272,1),(276,1),(281,1),(352,1)}
       234:{1,4,5,6}:{(186,1),(187,1),(194,1),(273,1),(278,1)}
       235:{3,5,6}:{(187,1),(195,1),(274,1)}
       236:{1,2,5,6,7}:{(188,1),(189,1),(193,1),(208,1),(272,1),(279,1),(297,1),(335,1),(348,1),(402,1)}
       237:{1,4,6,7}:{(189,1),(190,1),(194,1),(273,1),(346,1)}
       238:{3,4,6,7}:{(190,1),(195,1),(274,1),(295,1),(360,1),(394,1),(396,1)}
       239:{1,2,4,6}:{(191,1),(192,1),(275,1),(281,1)}
       240:{1,2,3,5,6}:{(192,1),(193,1),(196,1),(276,1),(281,1),(282,1),(283,1),(351,1),(355,1),(407,1),(439,1),(440,1)}
       241:{1,2,4,6}:{(193,1),(194,1),(197,1),(283,1),(284,1)}
       242:{1,3,4,6}:{(194,1),(195,1),(198,1),(278,1),(283,1),(284,1)}
       243:{1,2,4,7}:{(196,1),(282,1),(285,1),(346,1),(403,1)}
       244:{1,3,5,7}:{(197,1),(283,1),(285,1),(286,1),(355,1)}
       245:{2,4,5,7}:{(198,1),(284,1),(286,1),(287,1),(348,1),(403,1),(405,1)}
       246:{2,3,6,7}:{(199,1),(200,1),(204,1),(271,1),(288,1),(295,1),(441,1)}
       247:{2,5,7}:{(200,1),(201,1),(205,1)}
       248:{1,4,5,7}:{(201,1),(202,1),(206,1),(209,1),(289,1),(346,1)}
       249:{3,4,5,7}:{(202,1),(207,1),(210,1),(274,1),(396,1)}
       250:{2,3,4,6}:{(203,1),(204,1),(275,1),(291,1),(292,1)}
       251:{2,3,5,6}:{(204,1),(205,1),(276,1),(288,1),(291,1),(292,1),(293,1)}
       252:{2,4,5,6}:{(205,1),(206,1),(289,1),(292,1),(293,1)}
       253:{1,3,4,5,6}:{(206,1),(207,1),(278,1),(290,1),(293,1),(294,1),(350,1),(365,1)}
       254:{2,4,6,7}:{(208,1),(209,1),(289,1),(295,1)}
       255:{1,3,4,6,7}:{(209,1),(210,1),(211,1),(290,1),(295,1),(296,1),(366,1)}
       256:{2,5,6,7}:{(211,1),(296,1),(297,1),(348,1)}
       257:{2,5,7}:{(212,1),(213,1),(216,1),(298,1)}
       258:{1,3,6,7}:{(213,1),(214,1),(224,1),(298,1)}
       259:{2,3,5,6,7}:{(214,1),(218,1),(225,1),(299,1),(300,1),(310,1),(376,1),(416,1)}
       260:{2,3,7}:{(215,1),(216,1),(227,1)}
       261:{2,4,6,7}:{(216,1),(217,1),(221,1),(298,1),(301,1),(302,1),(369,1),(443,1),(444,1)}
       262:{1,3,5,7}:{(217,1),(218,1),(222,1),(229,1),(302,1),(303,1),(370,1),(379,1)}
       263:{2,4,5,7}:{(218,1),(223,1),(300,1),(303,1),(304,1),(326,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(231,1),(305,1),(369,1),(454,1)}
       265:{2,3,6}:{(220,1),(221,1),(232,1)}
       266:{2,5,6}:{(221,1),(222,1),(302,1)}
       267:{1,4,5,6}:{(222,1),(223,1),(303,1),(307,1),(315,1)}
       268:{3,4,5,6}:{(223,1),(235,1),(304,1),(330,1)}
       269:{1,5,6,7}:{(224,1),(225,1),(229,1)}
       270:{2,4,5,6,7}:{(225,1),(226,1),(230,1),(300,1),(309,1),(310,1),(367,1),(376,1)}
       271:{1,3,6,7}:{(227,1),(228,1),(232,1),(246,1),(301,1),(311,1),(447,1)}
       272:{1,2,5,7}:{(228,1),(229,1),(233,1),(247,1),(302,1),(311,1),(379,1)}
       273:{1,4,5,7}:{(229,1),(230,1),(234,1),(237,1),(313,1)}
       274:{3,5,7}:{(230,1),(235,1),(238,1)}
       275:{1,3,4,6}:{(231,1),(232,1),(239,1),(250,1),(305,1),(314,1),(315,1)}
       276:{1,3,5,6}:{(232,1),(233,1),(251,1),(306,1),(311,1),(314,1),(315,1)}
       277:{1,2,4,5,6}:{(233,1),(234,1),(241,1),(252,1),(307,1),(312,1),(315,1),(316,1),(317,1),(320,1),(332,1),(375,1),(381,1),(392,1),(422,1),(426,1)}
       278:{1,3,5,6}:{(234,1),(235,1),(242,1),(313,1),(317,1)}
       279:{1,2,4,6,7}:{(236,1),(237,1),(241,1),(254,1),(312,1),(318,1),(319,1),(334,1),(367,1),(393,1),(417,1),(443,1)}
       280:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(313,1),(318,1),(319,1),(377,1)}
       281:{1,2,5}:{(239,1),(314,1)}
       282:{1,2,4,6}:{(240,1),(243,1),(315,1),(320,1),(321,1),(381,1),(449,1)}
       283:{1,3,6}:{(241,1),(244,1),(322,1)}
       284:{2,4,6}:{(242,1),(245,1),(317,1),(322,1),(323,1)}
       285:{1,3,4,7}:{(243,1),(244,1),(321,1),(324,1),(447,1)}
       286:{2,3,5,7}:{(244,1),(245,1),(322,1),(324,1),(325,1),(384,1)}
       287:{1,4,5,7}:{(245,1),(323,1),(325,1),(379,1),(423,1),(425,1)}
       288:{2,3,5,7}:{(246,1),(247,1),(251,1),(311,1),(326,1),(327,1)}
       289:{2,4,5,7}:{(247,1),(248,1),(252,1),(254,1),(326,1),(327,1)}
       290:{1,3,4,5,7}:{(248,1),(249,1),(253,1),(255,1),(313,1),(327,1),(328,1),(377,1),(389,1)}
       291:{2,3,5}:{(250,1),(314,1),(329,1)}
       292:{2,4,6}:{(251,1),(315,1),(326,1),(329,1),(330,1)}
       293:{3,5,6}:{(252,1),(327,1),(330,1)}
       294:{2,4,5,6}:{(253,1),(317,1),(328,1),(331,1),(332,1),(381,1),(392,1)}
       295:{3,6,7}:{(254,1),(327,1)}
       296:{2,4,6,7}:{(255,1),(256,1),(328,1),(333,1),(334,1),(393,1)}
       297:{1,5,6,7}:{(256,1),(334,1),(379,1)}
       298:{2,6,7}:{(257,1),(258,1)}
       299:{1,3,5,6,7}:{(258,1),(259,1),(262,1),(269,1),(335,1),(336,1),(394,1),(402,1),(432,1)}
       300:{2,4,6,7}:{(259,1),(263,1),(336,1),(337,1)}
       301:{2,3,6,7}:{(260,1),(261,1),(265,1),(271,1),(338,1),(394,1),(451,1)}
       302:{2,5,7}:{(261,1),(262,1),(266,1)}
       303:{1,4,5,7}:{(262,1),(263,1),(267,1),(336,1),(339,1),(346,1)}
       304:{3,4,5,7}:{(263,1),(268,1),(274,1),(337,1),(360,1)}
       305:{2,3,4,6}:{(264,1),(265,1),(275,1),(341,1),(342,1)}
       306:{2,3,5,6}:{(265,1),(266,1),(276,1),(338,1),(341,1),(342,1),(343,1)}
       307:{2,4,5,6}:{(266,1),(267,1),(339,1),(342,1),(343,1)}
       308:{1,3,4,5,6}:{(267,1),(268,1),(278,1),(340,1),(343,1),(344,1),(350,1),(401,1)}
       309:{1,4,5,6,7}:{(269,1),(270,1),(273,1),(336,1),(345,1)}
       310:{3,5,6,7}:{(270,1),(274,1),(337,1),(394,1)}
       311:{1,3,5,7}:{(271,1),(272,1),(276,1),(288,1),(338,1),(346,1)}
       312:{1,2,4,5,7}:{(272,1),(273,1),(277,1),(279,1),(289,1),(339,1),(346,1),(347,1),(348,1),(362,1),(398,1),(403,1),(413,1),(434,1),(437,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(278,1),(280,1),(348,1)}
       314:{1,3,5}:{(275,1),(281,1),(291,1),(341,1),(349,1)}
       315:{1,4,6}:{(276,1),(292,1),(342,1),(346,1),(349,1)}
       316:{1,3,5,6}:{(277,1),(283,1),(293,1),(343,1),(347,1),(350,1),(351,1),(355,1),(439,1)}
       317:{2,5,6}:{(278,1),(284,1),(348,1),(352,1)}
       318:{1,3,6,7}:{(279,1),(283,1),(295,1),(347,1),(353,1),(394,1)}
       319:{2,4,6,7}:{(280,1),(284,1),(348,1),(353,1),(354,1),(403,1)}
       320:{1,2,4,5}:{(281,1),(282,1),(349,1),(355,1),(405,1)}
       321:{1,3,4,6}:{(282,1),(283,1),(285,1),(355,1),(356,1),(439,1),(453,1)}
       322:{2,3,6}:{(283,1),(284,1),(286,1),(357,1)}
       323:{1,4,6}:{(284,1),(287,1),(352,1),(357,1)}
       324:{2,3,4,7}:{(285,1),(286,1),(356,1),(358,1),(403,1),(441,1),(451,1)}
       325:{1,3,5,7}:{(286,1),(287,1),(357,1),(358,1),(359,1),(409,1)}
       326:{2,4,7}:{(288,1),(292,1),(346,1),(360,1)}
       327:{3,5,7}:{(289,1),(293,1),(295,1),(360,1)}
       328:{2,4,5,7}:{(290,1),(294,1),(296,1),(348,1),(361,1),(362,1),(403,1),(413,1)}
       329:{2,4,5}:{(291,1),(292,1),(349,1),(363,1)}
       330:{3,4,6}:{(292,1),(293,1),(360,1),(363,1)}
       331:{2,3,5,6}:{(293,1),(294,1),(361,1),(364,1),(365,1)}
       332:{1,4,5,6}:{(294,1),(352,1),(362,1),(365,1),(406,1)}
       333:{2,3,6,7}:{(295,1),(296,1),(361,1),(366,1)}
       334:{1,4,6,7}:{(296,1),(297,1),(362,1),(366,1)}
       335:{2,5,6,7}:{(298,1),(299,1),(302,1),(367,1),(443,1)}
       336:{1,4,6,7}:{(299,1),(300,1),(303,1),(367,1)}
       337:{3,4,6,7}:{(300,1),(304,1),(310,1)}
       338:{2,3,5,7}:{(301,1),(302,1),(306,1),(311,1),(369,1),(370,1)}
       339:{2,4,5,7}:{(302,1),(303,1),(307,1),(367,1),(369,1),(370,1)}
       340:{1,3,4,5,7}:{(303,1),(304,1),(308,1),(313,1),(368,1),(370,1),(371,1),(377,1),(419,1)}
       341:{2,3,5}:{(305,1),(314,1),(372,1)}
       342:{2,4,6}:{(306,1),(315,1),(369,1),(372,1),(373,1)}
       343:{3,5,6}:{(307,1),(370,1),(373,1)}
       344:{2,4,5,6}:{(308,1),(317,1),(371,1),(374,1),(375,1),(381,1),(422,1)}
       345:{1,3,5,6,7}:{(309,1),(310,1),(313,1),(368,1),(376,1)}
       346:{1,4,7}:{(311,1),(315,1),(326,1),(369,1)}
       347:{1,3,5,7}:{(312,1),(316,1),(318,1),(327,1),(370,1),(377,1),(378,1),(447,1)}
       348:{2,5,7}:{(313,1),(317,1),(319,1),(379,1)}
       349:{1,4,5}:{(314,1),(315,1),(329,1),(372,1)}
       350:{1,3,4,6}:{(315,1),(316,1),(330,1),(373,1),(377,1),(380,1),(381,1)}
       351:{2,3,5,6}:{(316,1),(317,1),(322,1),(378,1),(381,1),(382,1),(384,1),(392,1),(422,1),(431,1),(446,1)}
       352:{1,5,6}:{(317,1),(323,1),(379,1)}
       353:{2,3,6,7}:{(318,1),(319,1),(322,1),(378,1),(383,1),(393,1),(443,1)}
       354:{1,4,6,7}:{(319,1),(323,1),(379,1),(383,1),(423,1)}
       355:{1,3,5}:{(320,1),(321,1),(384,1)}
       356:{2,3,4,6}:{(321,1),(322,1),(324,1),(381,1),(384,1),(385,1),(431,1),(446,1),(450,1),(454,1)}
       357:{1,3,6}:{(322,1),(323,1),(325,1),(386,1)}
       358:{1,3,4,7}:{(324,1),(325,1),(385,1),(387,1),(423,1),(447,1)}
       359:{1,2,5,7}:{(325,1),(386,1),(387,1),(427,1)}
       360:{3,4,7}:{(326,1),(327,1),(330,1)}
       361:{2,3,5,7}:{(327,1),(328,1),(331,1),(333,1),(388,1),(389,1)}
       362:{1,4,5,7}:{(328,1),(332,1),(334,1),(379,1),(389,1),(423,1)}
       363:{3,4,5}:{(329,1),(330,1)}
       364:{2,3,4,6}:{(330,1),(331,1),(381,1),(388,1),(390,1),(391,1),(446,1)}
       365:{1,3,5,6}:{(331,1),(332,1),(389,1),(391,1),(392,1)}
       366:{1,3,6,7}:{(333,1),(334,1),(389,1),(393,1)}
       367:{2,4,6,7}:{(335,1),(336,1),(339,1),(394,1)}
       368:{1,3,4,6,7}:{(336,1),(337,1),(340,1),(345,1),(394,1),(395,1),(432,1)}
       369:{2,4,7}:{(338,1),(342,1),(346,1),(396,1)}
       370:{3,5,7}:{(339,1),(343,1),(394,1),(396,1)}
       371:{2,4,5,7}:{(340,1),(344,1),(348,1),(395,1),(397,1),(398,1),(403,1),(434,1)}
       372:{2,4,5}:{(341,1),(342,1),(349,1),(399,1)}
       373:{3,4,6}:{(342,1),(343,1),(396,1),(399,1)}
       374:{2,3,5,6}:{(343,1),(344,1),(397,1),(400,1),(401,1)}
       375:{1,4,5,6}:{(344,1),(352,1),(398,1),(401,1),(406,1)}
       376:{2,5,6,7}:{(345,1),(348,1),(395,1),(402,1)}
       377:{1,3,4,7}:{(346,1),(347,1),(350,1),(360,1),(396,1),(403,1)}
       378:{2,3,5,7}:{(347,1),(348,1),(351,1),(353,1),(403,1),(404,1),(413,1),(434,1),(441,1),(451,1)}
       379:{1,5,7}:{(348,1),(352,1),(354,1)}
       380:{1,3,4,5}:{(349,1),(350,1),(355,1),(363,1),(399,1),(405,1)}
       381:{2,4,6}:{(350,1),(351,1),(403,1),(405,1),(406,1)}
       382:{1,3,5,6}:{(351,1),(352,1),(357,1),(404,1),(406,1),(407,1),(409,1),(439,1)}
       383:{1,3,6,7}:{(353,1),(354,1),(357,1),(404,1),(408,1)}
       384:{2,3,5}:{(355,1),(356,1),(405,1),(409,1)}
       385:{1,3,4,6}:{(356,1),(357,1),(358,1),(406,1),(409,1),(410,1),(439,1),(453,1)}
       386:{1,2,6}:{(357,1),(359,1)}
       387:{1,2,4,7}:{(358,1),(359,1),(410,1),(411,1)}
       388:{2,3,4,7}:{(360,1),(361,1),(364,1),(403,1),(412,1),(451,1)}
       389:{1,3,5,7}:{(361,1),(362,1),(365,1),(366,1),(412,1),(413,1)}
       390:{2,3,4,5}:{(363,1),(364,1),(405,1),(414,1),(452,1)}
       391:{1,3,4,6}:{(364,1),(365,1),(406,1),(412,1),(414,1),(415,1),(439,1)}
       392:{2,5,6}:{(365,1),(413,1),(415,1)}
       393:{2,6,7}:{(366,1),(413,1)}
       394:{3,6,7}:{(367,1),(370,1)}
       395:{2,4,6,7}:{(368,1),(371,1),(376,1),(416,1),(417,1),(443,1)}
       396:{3,4,7}:{(369,1),(370,1),(373,1)}
       397:{2,3,5,7}:{(370,1),(371,1),(374,1),(416,1),(418,1),(419,1)}
       398:{1,4,5,7}:{(371,1),(375,1),(379,1),(417,1),(419,1),(423,1)}
       399:{3,4,5}:{(372,1),(373,1)}
       400:{2,3,4,6}:{(373,1),(374,1),(381,1),(418,1),(420,1),(421,1),(431,1)}
       401:{1,3,5,6}:{(374,1),(375,1),(419,1),(421,1),(422,1)}
       402:{1,5,6,7}:{(376,1),(379,1),(417,1)}
       403:{2,4,7}:{(377,1),(378,1),(381,1),(423,1)}
       404:{1,3,5,7}:{(378,1),(379,1),(382,1),(383,1),(423,1),(424,1),(447,1)}
       405:{2,4,5}:{(380,1),(381,1),(384,1),(425,1)}
       406:{1,4,6}:{(381,1),(382,1),(423,1),(425,1)}
       407:{1,2,5,6}:{(382,1),(386,1),(392,1),(422,1),(424,1),(426,1),(427,1)}
       408:{1,2,6,7}:{(383,1),(386,1),(393,1),(424,1),(443,1)}
       409:{1,3,5}:{(384,1),(385,1),(425,1),(427,1)}
       410:{1,2,4,6}:{(385,1),(386,1),(387,1),(427,1),(428,1),(449,1)}
       411:{1,2,3,7}:{(387,1),(428,1),(447,1)}
       412:{1,3,4,7}:{(388,1),(389,1),(391,1),(423,1),(429,1),(447,1)}
       413:{2,5,7}:{(389,1),(392,1),(393,1),(429,1)}
       414:{1,3,4,5}:{(390,1),(391,1),(425,1),(430,1),(448,1)}
       415:{2,4,6}:{(391,1),(392,1),(429,1),(430,1),(431,1)}
       416:{2,3,6,7}:{(394,1),(395,1),(397,1),(432,1)}
       417:{1,4,6,7}:{(395,1),(398,1),(402,1),(432,1)}
       418:{2,3,4,7}:{(396,1),(397,1),(400,1),(403,1),(433,1),(441,1)}
       419:{1,3,5,7}:{(397,1),(398,1),(401,1),(432,1),(433,1),(434,1)}
       420:{2,3,4,5}:{(399,1),(400,1),(405,1),(435,1),(442,1)}
       421:{1,3,4,6}:{(400,1),(401,1),(406,1),(433,1),(435,1),(436,1),(439,1)}
       422:{2,5,6}:{(401,1),(434,1),(436,1)}
       423:{1,4,7}:{(403,1),(404,1),(406,1)}
       424:{1,2,5,7}:{(404,1),(407,1),(408,1),(413,1),(434,1),(437,1)}
       425:{1,4,5}:{(405,1),(406,1),(409,1)}
       426:{1,2,4,6}:{(406,1),(407,1),(415,1),(436,1),(437,1),(438,1),(439,1)}
       427:{1,2,5}:{(409,1),(410,1)}
       428:{1,2,3,6}:{(410,1),(411,1),(439,1),(440,1)}
       429:{2,4,7}:{(412,1),(413,1),(415,1),(441,1)}
       430:{2,4,5}:{(414,1),(415,1),(442,1)}
       431:{2,3,6}:{(415,1),(439,1),(441,1),(442,1)}
       432:{1,3,6,7}:{(416,1),(417,1),(419,1),(443,1)}
       433:{1,3,4,7}:{(418,1),(419,1),(421,1),(423,1),(444,1),(447,1)}
       434:{2,5,7}:{(419,1),(422,1),(443,1),(444,1)}
       435:{1,3,4,5}:{(420,1),(421,1),(425,1),(445,1),(448,1)}
       436:{2,4,6}:{(421,1),(422,1),(444,1),(445,1),(446,1)}
       437:{1,2,4,7}:{(423,1),(424,1),(426,1),(429,1),(444,1),(447,1)}
       438:{1,2,4,5}:{(425,1),(426,1),(427,1),(430,1),(445,1),(448,1),(449,1)}
       439:{1,3,6}:{(426,1),(431,1),(446,1),(447,1),(448,1)}
       440:{1,2,3,5}:{(427,1),(428,1),(448,1),(449,1)}
       441:{2,3,7}:{(429,1),(431,1),(447,1)}
       442:{2,3,5}:{(430,1),(431,1),(448,1),(450,1)}
       443:{2,6,7}:{(432,1),(434,1)}
       444:{2,4,7}:{(433,1),(434,1),(436,1),(451,1)}
       445:{2,4,5}:{(435,1),(436,1),(452,1)}
       446:{2,3,6}:{(436,1),(439,1),(451,1),(452,1)}
       447:{1,3,7}:{(437,1),(439,1),(441,1),(451,1)}
       448:{1,3,5}:{(438,1),(439,1),(442,1),(452,1),(453,1)}
       449:{1,2,4}:{(440,1),(453,1)}
       450:{2,3,4}:{(442,1),(453,1)}
       451:{2,3,7}:{(444,1),(446,1),(447,1)}
       452:{2,3,5}:{(445,1),(446,1),(448,1),(454,1)}
       453:{1,3,4}:{(448,1),(449,1),(450,1),(454,1)}
       454:{2,3,4}:{(452,1),(453,1)}

2019 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2020 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2021 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(123,1),(178,1),(183,1),(189,1),(213,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(25,1),(29,1),(146,1),(150,1),(244,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(38,1),(72,1),(86,1),(149,1),(166,1),(168,1),(237,1),(260,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(225,1),(238,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(47,1),(292,1)}
         5:{1,2,4,7}:{(1,1),(11,1),(14,1),(192,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(125,1),(210,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(56,1),(60,1),(125,1),(211,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(47,1),(107,1),(124,1),(287,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(269,1),(283,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(64,1),(101,1),(183,1),(213,1),(215,1),(273,1),(288,1)}
        11:{1,3,4,7}:{(5,1),(6,1),(23,1),(24,1),(25,1),(149,1),(240,1)}
        12:{1,2,3,6,7}:{(4,1),(26,1),(27,1),(74,1),(150,1),(153,1),(233,1),(246,1),(335,1),(391,1)}
        13:{1,2,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(73,1),(77,1),(79,1),(146,1),(153,1),(157,1),(233,1),(247,1),(327,1),(333,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(24,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(25,1),(29,1),(30,1),(66,1),(72,1),(81,1),(149,1),(237,1),(241,1),(244,1),(334,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(33,1),(34,1),(87,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(25,1),(33,1),(34,1),(258,1),(343,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(35,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(35,1),(37,1),(38,1),(90,1),(328,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(36,1),(38,1),(74,1),(92,1),(149,1),(168,1),(170,1),(260,1),(263,1),(332,1)}
        21:{2,4,5,6}:{(9,1),(37,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(38,1),(41,1),(315,1),(329,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,3,4,6}:{(11,1),(14,1),(16,1),(42,1),(46,1),(47,1),(107,1)}
        25:{1,3,5,7}:{(11,1),(15,1),(17,1),(43,1),(46,1),(47,1),(289,1),(367,1)}
        26:{1,2,3,5,7}:{(12,1),(13,1),(48,1),(49,1),(108,1),(110,1),(202,1),(294,1),(367,1),(408,1)}
        27:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(111,1),(196,1),(282,1),(288,1),(292,1)}
        28:{1,2,4,6}:{(13,1),(48,1),(50,1),(51,1),(107,1),(192,1),(194,1),(407,1)}
        29:{1,2,5}:{(14,1),(46,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(47,1),(52,1),(97,1),(107,1),(287,1),(292,1)}
        31:{2,3,4,5,7}:{(17,1),(44,1),(54,1),(56,1),(119,1),(120,1),(125,1),(181,1),(189,1),(277,1)}
        32:{2,3,4,6,7}:{(16,1),(45,1),(55,1),(58,1),(109,1),(121,1),(125,1),(198,1),(209,1),(288,1),(352,1),(406,1),(424,1)}
        33:{2,3,5}:{(16,1),(46,1),(56,1)}
        34:{2,3,6}:{(17,1),(18,1),(47,1)}
        35:{2,5,6}:{(18,1),(19,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(20,1),(58,1),(60,1),(125,1),(305,1),(308,1)}
        37:{1,4,5,6}:{(19,1),(21,1),(59,1),(63,1),(107,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(22,1),(60,1),(63,1),(128,1),(364,1)}
        39:{2,3,5,6,7}:{(22,1),(61,1),(64,1),(133,1),(215,1),(218,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(269,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(63,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(24,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(66,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,5,7}:{(25,1),(31,1),(66,1),(70,1),(72,1),(138,1),(142,1),(149,1),(227,1),(229,1),(237,1),(322,1)}
        45:{1,3,4,6,7}:{(24,1),(27,1),(32,1),(67,1),(71,1),(74,1),(75,1),(144,1),(149,1),(151,1),(153,1),(245,1),(326,1),(332,1),(391,1),(419,1)}
        46:{1,3,5}:{(24,1),(29,1),(33,1),(68,1),(72,1)}
        47:{1,3,6}:{(25,1),(30,1),(34,1),(69,1)}
        48:{1,2,4,7}:{(26,1),(28,1),(75,1),(149,1),(243,1),(419,1)}
        49:{1,2,5,7}:{(27,1),(29,1),(71,1),(77,1),(327,1),(329,1)}
        50:{1,3,4,6}:{(28,1),(75,1),(78,1),(79,1),(153,1),(240,1),(333,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(72,1),(79,1),(147,1),(327,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(35,1),(73,1),(81,1),(134,1),(328,1)}
        53:{1,2,4,6,7}:{(30,1),(36,1),(74,1),(81,1),(135,1),(149,1),(332,1),(334,1),(335,1)}
        54:{2,3,4,6}:{(31,1),(34,1),(70,1),(82,1),(87,1),(164,1),(238,1)}
        55:{2,3,5,7}:{(32,1),(33,1),(71,1),(84,1),(85,1),(253,1),(329,1),(381,1)}
        56:{2,4,5}:{(33,1),(72,1),(86,1),(87,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(35,1),(73,1),(87,1),(88,1),(90,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(74,1),(88,1),(170,1),(343,1)}
        59:{2,4,5,6}:{(35,1),(37,1),(87,1),(90,1),(91,1)}
        60:{2,5,7}:{(35,1),(36,1),(38,1)}
        61:{1,3,5,6,7}:{(38,1),(39,1),(89,1),(92,1),(170,1),(263,1),(265,1)}
        62:{1,3,4,5,6}:{(37,1),(40,1),(90,1),(93,1),(94,1),(148,1),(171,1),(234,1),(251,1),(336,1),(393,1)}
        63:{1,4,5,7}:{(37,1),(38,1),(41,1),(91,1),(92,1),(149,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(229,1),(315,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(97,1),(99,1),(177,1),(183,1),(275,1),(359,1)}
        67:{2,3,4,6,7}:{(42,1),(45,1),(98,1),(101,1),(109,1),(179,1),(183,1),(198,1),(273,1),(288,1),(298,1),(373,1),(411,1)}
        68:{2,3,5}:{(42,1),(46,1),(99,1)}
        69:{2,3,6}:{(43,1),(47,1),(97,1)}
        70:{1,3,4,6}:{(44,1),(47,1),(54,1),(97,1),(102,1),(107,1),(182,1),(287,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(49,1),(55,1),(98,1),(104,1),(105,1),(362,1),(364,1)}
        72:{1,4,5}:{(46,1),(56,1),(99,1),(107,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(52,1),(57,1),(100,1),(107,1),(108,1)}
        74:{1,3,6,7}:{(47,1),(53,1),(58,1),(101,1),(108,1),(367,1)}
        75:{1,3,4,7}:{(48,1),(50,1),(109,1),(110,1),(367,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(104,1),(110,1),(111,1),(189,1)}
        77:{1,2,5,6}:{(49,1),(105,1),(111,1),(283,1),(292,1)}
        78:{2,3,4,6}:{(50,1),(109,1),(114,1),(115,1),(194,1),(198,1),(210,1),(274,1),(304,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(59,1),(107,1),(111,1),(116,1),(117,1),(131,1),(176,1),(187,1),(194,1),(216,1),(280,1),(283,1),(290,1),(348,1),(363,1),(368,1),(401,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(60,1),(108,1),(177,1),(364,1)}
        82:{2,3,5,6}:{(54,1),(102,1),(118,1),(119,1),(205,1),(283,1)}
        83:{2,3,4,6,7}:{(54,1),(58,1),(103,1),(119,1),(125,1),(203,1),(209,1),(277,1),(288,1),(347,1)}
        84:{2,4,5,7}:{(55,1),(56,1),(104,1),(120,1),(121,1),(125,1),(403,1),(424,1)}
        85:{2,3,5,6}:{(55,1),(105,1),(121,1),(198,1),(205,1),(283,1)}
        86:{3,4,5}:{(56,1),(124,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(124,1),(125,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(60,1),(108,1),(125,1),(128,1)}
        89:{2,5,6,7}:{(60,1),(61,1),(126,1),(308,1)}
        90:{3,5,6}:{(59,1),(124,1),(128,1)}
        91:{2,4,5,7}:{(59,1),(60,1),(63,1),(125,1),(126,1),(128,1)}
        92:{1,4,6,7}:{(61,1),(63,1),(64,1),(126,1)}
        93:{2,4,5,6}:{(62,1),(127,1),(131,1),(132,1),(194,1),(216,1),(283,1)}
        94:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(128,1),(130,1),(132,1),(195,1),(217,1),(284,1),(297,1),(369,1),(410,1)}
        95:{2,4,5,6,7}:{(64,1),(129,1),(133,1),(218,1),(270,1),(374,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(133,1)}
        97:{2,4,6}:{(66,1),(69,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(68,1),(71,1),(136,1),(137,1),(315,1),(329,1),(338,1)}
        99:{2,4,5}:{(68,1),(72,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(139,1),(140,1),(221,1)}
       101:{2,3,6,7}:{(69,1),(74,1),(135,1),(140,1),(310,1),(386,1)}
       102:{1,3,5,6}:{(70,1),(82,1),(134,1),(141,1),(142,1),(221,1),(328,1)}
       103:{1,3,4,6,7}:{(70,1),(74,1),(83,1),(135,1),(142,1),(149,1),(229,1),(230,1),(310,1),(322,1),(332,1),(377,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(84,1),(136,1),(144,1),(149,1),(388,1),(419,1)}
       105:{1,3,5,6}:{(71,1),(77,1),(85,1),(137,1),(144,1),(153,1),(245,1),(328,1)}
       106:{1,3,4,5}:{(72,1),(79,1),(86,1),(138,1),(147,1),(148,1),(388,1),(392,1),(414,1)}
       107:{1,4,6}:{(72,1),(73,1),(87,1),(139,1),(149,1)}
       108:{1,3,5,7}:{(73,1),(74,1),(81,1),(88,1),(140,1),(149,1)}
       109:{2,3,4,7}:{(75,1),(78,1),(151,1),(152,1),(243,1),(343,1),(386,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(79,1),(152,1),(153,1)}
       111:{1,2,4,6}:{(76,1),(77,1),(144,1),(153,1),(238,1)}
       112:{1,2,5,6,7}:{(77,1),(81,1),(89,1),(145,1),(154,1),(220,1),(265,1),(329,1),(335,1),(345,1),(387,1),(390,1),(413,1)}
       113:{1,2,3,6}:{(146,1),(150,1),(155,1),(333,1)}
       114:{1,3,4,6}:{(78,1),(151,1),(155,1),(156,1),(240,1),(242,1),(245,1),(333,1)}
       115:{2,3,5}:{(78,1),(79,1),(147,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(90,1),(148,1),(153,1),(157,1),(158,1),(221,1),(333,1),(393,1),(415,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(91,1),(149,1),(154,1),(158,1),(175,1),(222,1),(235,1),(243,1),(264,1),(325,1),(329,1),(334,1),(378,1),(390,1),(394,1),(416,1),(419,1)}
       118:{2,4,5,6}:{(82,1),(87,1),(141,1),(160,1),(161,1)}
       119:{2,3,5,7}:{(82,1),(83,1),(142,1),(161,1),(253,1),(329,1)}
       120:{3,4,5,7}:{(84,1),(86,1),(164,1),(168,1),(253,1),(414,1),(426,1)}
       121:{2,4,6}:{(84,1),(85,1),(144,1),(164,1)}
       122:{2,3,5,6,7}:{(85,1),(88,1),(89,1),(145,1),(165,1),(170,1),(246,1),(253,1),(329,1),(413,1),(418,1),(425,1)}
       123:{2,3,4,5}:{(86,1),(147,1),(166,1),(167,1),(320,1),(392,1)}
       124:{3,4,6}:{(86,1),(87,1),(90,1),(168,1)}
       125:{2,4,7}:{(87,1),(88,1),(149,1),(168,1)}
       126:{2,4,6,7}:{(89,1),(91,1),(92,1),(170,1)}
       127:{2,3,5,6}:{(90,1),(93,1),(167,1),(171,1),(172,1),(393,1)}
       128:{3,5,7}:{(90,1),(91,1),(168,1),(170,1)}
       129:{1,4,5,6,7}:{(92,1),(95,1),(169,1),(173,1),(235,1),(265,1),(344,1)}
       130:{1,3,4,6,7}:{(92,1),(94,1),(96,1),(170,1),(173,1),(174,1),(261,1),(263,1),(344,1),(397,1)}
       131:{1,4,5,6}:{(93,1),(171,1),(175,1),(242,1),(328,1)}
       132:{2,4,5,7}:{(93,1),(94,1),(172,1),(174,1),(175,1),(243,1),(264,1),(329,1)}
       133:{3,5,6,7}:{(95,1),(96,1),(315,1),(397,1)}
       134:{2,5,6}:{(97,1),(102,1),(177,1)}
       135:{2,4,6,7}:{(97,1),(101,1),(103,1),(177,1),(183,1),(359,1),(400,1)}
       136:{2,4,5,7}:{(98,1),(99,1),(104,1),(178,1),(179,1),(183,1),(370,1),(411,1)}
       137:{2,3,5,6}:{(98,1),(105,1),(179,1),(198,1),(269,1),(283,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(107,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(108,1),(177,1),(183,1),(268,1)}
       141:{1,4,5,6}:{(102,1),(107,1),(118,1),(176,1),(186,1)}
       142:{1,3,5,7}:{(102,1),(103,1),(119,1),(177,1),(186,1),(268,1),(364,1)}
       143:{1,3,4,5,7}:{(104,1),(106,1),(110,1),(120,1),(178,1),(189,1),(190,1),(195,1),(284,1)}
       144:{1,4,6}:{(104,1),(105,1),(121,1),(179,1)}
       145:{1,3,5,6,7}:{(105,1),(108,1),(112,1),(122,1),(180,1),(191,1),(199,1),(284,1),(293,1),(364,1),(408,1)}
       146:{1,2,3,5}:{(113,1),(192,1),(200,1),(289,1)}
       147:{2,4,5}:{(106,1),(115,1),(193,1),(194,1)}
       148:{1,3,4,6}:{(106,1),(107,1),(116,1),(124,1),(182,1),(194,1),(195,1),(407,1),(409,1),(422,1)}
       149:{1,4,7}:{(107,1),(108,1),(125,1),(183,1)}
       150:{1,2,3,7}:{(113,1),(196,1),(367,1)}
       151:{1,3,4,7}:{(109,1),(114,1),(196,1),(197,1),(291,1),(367,1)}
       152:{2,3,5,7}:{(109,1),(110,1),(115,1),(189,1),(197,1),(198,1)}
       153:{1,3,6}:{(110,1),(111,1),(198,1)}
       154:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(126,1),(191,1),(199,1),(219,1),(266,1),(288,1),(308,1),(361,1),(374,1),(400,1),(421,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(192,1),(196,1),(200,1),(292,1)}
       156:{1,3,5}:{(114,1),(115,1),(193,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(194,1),(198,1),(201,1),(202,1),(216,1),(283,1),(304,1),(348,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(128,1),(195,1),(199,1),(202,1),(268,1),(367,1),(410,1),(423,1)}
       159:{2,3,5,6,7}:{(119,1),(184,1),(203,1),(295,1),(347,1),(360,1)}
       160:{3,4,5,6}:{(118,1),(124,1),(204,1),(205,1)}
       161:{2,4,5,7}:{(118,1),(119,1),(125,1),(186,1),(203,1),(204,1)}
       162:{2,4,5,6}:{(121,1),(187,1),(205,1),(206,1),(283,1)}
       163:{2,3,4,5,7}:{(120,1),(123,1),(189,1),(207,1),(208,1),(213,1),(300,1),(355,1),(403,1),(424,1)}
       164:{3,4,6}:{(120,1),(121,1),(205,1)}
       165:{2,4,6,7}:{(121,1),(122,1),(125,1),(191,1),(206,1),(209,1),(424,1)}
       166:{1,3,4,5}:{(123,1),(193,1),(211,1),(212,1),(289,1)}
       167:{2,3,4,6}:{(123,1),(124,1),(127,1),(194,1),(212,1),(213,1),(358,1),(409,1)}
       168:{3,4,7}:{(124,1),(125,1),(128,1)}
       169:{2,4,5,6,7}:{(126,1),(129,1),(206,1),(214,1),(218,1),(306,1)}
       170:{3,6,7}:{(126,1),(128,1)}
       171:{1,3,5,6}:{(127,1),(131,1),(212,1),(216,1),(217,1)}
       172:{2,3,5,7}:{(127,1),(128,1),(132,1),(213,1),(215,1),(217,1),(410,1)}
       173:{1,3,5,6,7}:{(129,1),(130,1),(133,1),(214,1),(218,1),(284,1)}
       174:{2,4,6,7}:{(130,1),(132,1),(215,1),(218,1),(219,1),(308,1)}
       175:{1,4,5,7}:{(131,1),(132,1),(217,1),(219,1),(291,1),(364,1)}
       176:{2,4,5,6}:{(134,1),(139,1),(141,1),(221,1),(222,1)}
       177:{2,5,7}:{(134,1),(135,1),(142,1)}
       178:{3,4,5,7}:{(136,1),(138,1),(225,1),(229,1),(315,1),(392,1),(420,1)}
       179:{2,4,6}:{(136,1),(137,1),(144,1),(225,1)}
       180:{2,3,5,6,7}:{(137,1),(140,1),(145,1),(220,1),(226,1),(246,1),(310,1),(315,1),(329,1),(345,1),(396,1),(397,1)}
       181:{2,3,4,5}:{(138,1),(147,1),(227,1),(228,1),(258,1),(414,1)}
       182:{3,4,6}:{(138,1),(139,1),(221,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(149,1),(229,1)}
       184:{1,3,5,6,7}:{(142,1),(159,1),(220,1),(230,1),(310,1),(377,1),(387,1)}
       185:{1,3,4,5,6}:{(141,1),(148,1),(160,1),(221,1),(231,1),(232,1),(234,1),(311,1),(313,1),(379,1),(415,1)}
       186:{1,4,5,7}:{(141,1),(142,1),(149,1),(161,1),(222,1),(230,1)}
       187:{1,4,5,6}:{(144,1),(162,1),(223,1),(234,1),(235,1),(328,1)}
       188:{1,2,3,5,7}:{(146,1),(150,1),(233,1),(236,1),(244,1),(327,1),(330,1)}
       189:{2,4,5,7}:{(143,1),(147,1),(152,1),(237,1),(238,1),(243,1),(329,1)}
       190:{1,3,4,6}:{(143,1),(144,1),(153,1),(164,1),(225,1),(234,1),(238,1)}
       191:{1,4,6,7}:{(144,1),(145,1),(149,1),(165,1),(226,1),(235,1),(419,1)}
       192:{1,2,4}:{(146,1),(240,1)}
       193:{1,4,5}:{(147,1),(156,1),(242,1)}
       194:{2,4,6}:{(147,1),(148,1),(157,1),(242,1),(243,1)}
       195:{1,3,4,7}:{(148,1),(149,1),(158,1),(168,1),(229,1),(243,1),(419,1),(420,1),(426,1)}
       196:{1,2,4,7}:{(150,1),(151,1),(155,1),(244,1)}
       197:{1,3,5,7}:{(151,1),(152,1),(156,1),(237,1),(244,1),(245,1)}
       198:{2,3,6}:{(152,1),(153,1),(238,1),(245,1)}
       199:{1,3,6,7}:{(153,1),(154,1),(158,1),(170,1),(246,1),(310,1),(397,1),(425,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(242,1),(245,1),(247,1),(248,1),(328,1),(333,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(243,1),(246,1),(248,1),(264,1),(329,1),(343,1),(378,1),(386,1)}
       203:{2,4,6,7}:{(159,1),(161,1),(230,1),(250,1)}
       204:{3,4,5,7}:{(160,1),(161,1),(168,1),(250,1),(253,1)}
       205:{3,5,6}:{(162,1),(164,1),(253,1)}
       206:{2,4,5,7}:{(162,1),(165,1),(235,1),(253,1),(329,1)}
       207:{1,3,4,5,7}:{(163,1),(166,1),(237,1),(255,1),(256,1),(260,1),(330,1),(340,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(163,1),(164,1),(238,1),(252,1),(256,1),(384,1),(417,1)}
       209:{3,4,6,7}:{(164,1),(165,1),(168,1),(170,1),(253,1),(425,1),(426,1)}
       210:{2,3,4}:{(240,1),(258,1)}
       211:{2,4,5}:{(166,1),(258,1),(259,1)}
       212:{1,3,4,6}:{(166,1),(167,1),(171,1),(242,1),(259,1),(260,1),(333,1)}
       213:{2,3,4,7}:{(167,1),(168,1),(172,1),(243,1),(260,1),(386,1),(420,1)}
       214:{3,5,6,7}:{(169,1),(170,1),(253,1),(261,1)}
       215:{2,3,6,7}:{(170,1),(172,1),(174,1),(263,1),(397,1)}
       216:{2,5,6}:{(171,1),(259,1),(264,1)}
       217:{1,3,5,7}:{(171,1),(172,1),(175,1),(260,1),(263,1),(264,1)}
       218:{2,5,6,7}:{(173,1),(174,1),(265,1),(329,1)}
       219:{1,4,6,7}:{(174,1),(175,1),(263,1),(265,1)}
       220:{2,5,6,7}:{(177,1),(184,1),(266,1),(400,1)}
       221:{3,5,6}:{(176,1),(182,1),(268,1)}
       222:{2,4,5,7}:{(176,1),(177,1),(183,1),(186,1),(266,1),(268,1)}
       223:{2,4,5,6}:{(179,1),(187,1),(269,1),(270,1),(283,1)}
       224:{2,3,4,5,7}:{(178,1),(181,1),(189,1),(271,1),(272,1),(277,1),(301,1),(354,1),(370,1),(411,1)}
       225:{3,4,6}:{(178,1),(179,1),(269,1)}
       226:{2,4,6,7}:{(179,1),(180,1),(183,1),(191,1),(270,1),(273,1),(411,1)}
       227:{1,3,4,5}:{(181,1),(193,1),(275,1),(276,1),(289,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(194,1),(267,1),(276,1),(277,1),(304,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(268,1)}
       230:{1,4,6,7}:{(184,1),(186,1),(203,1),(266,1)}
       231:{2,4,5,6}:{(185,1),(194,1),(267,1),(280,1),(281,1),(283,1),(348,1)}
       232:{1,3,4,5,7}:{(185,1),(186,1),(195,1),(204,1),(268,1),(279,1),(281,1),(284,1),(349,1),(351,1),(402,1),(423,1)}
       233:{1,2,3,6}:{(188,1),(282,1),(292,1),(365,1)}
       234:{1,3,5,6}:{(187,1),(190,1),(205,1),(269,1),(283,1),(284,1)}
       235:{1,4,5,7}:{(187,1),(191,1),(206,1),(270,1),(284,1),(364,1)}
       236:{1,2,4,7}:{(188,1),(192,1),(282,1),(285,1)}
       237:{1,4,5,7}:{(189,1),(193,1),(197,1),(287,1),(291,1),(364,1)}
       238:{2,4,6}:{(189,1),(190,1),(198,1),(283,1),(287,1)}
       239:{1,3,4,6,7}:{(190,1),(191,1),(195,1),(199,1),(209,1),(273,1),(284,1),(288,1)}
       240:{1,3,4}:{(192,1),(210,1),(274,1),(289,1)}
       241:{1,2,4,5}:{(192,1),(193,1),(200,1),(211,1),(275,1),(289,1),(290,1)}
       242:{1,4,6}:{(193,1),(194,1),(201,1),(291,1)}
       243:{2,4,7}:{(194,1),(195,1),(202,1),(291,1)}
       244:{1,2,5,7}:{(196,1),(197,1),(200,1),(292,1)}
       245:{1,3,6}:{(197,1),(198,1),(287,1),(292,1)}
       246:{2,3,6,7}:{(198,1),(199,1),(202,1),(288,1),(293,1),(308,1),(400,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(216,1),(290,1),(292,1),(294,1),(348,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(291,1),(293,1),(294,1),(364,1),(367,1)}
       249:{2,4,5,6,7}:{(203,1),(206,1),(278,1),(295,1),(360,1),(421,1)}
       250:{3,4,6,7}:{(203,1),(204,1),(295,1)}
       251:{3,4,5,6}:{(205,1),(296,1),(297,1),(422,1)}
       252:{2,3,5,6}:{(205,1),(208,1),(283,1),(296,1),(299,1),(300,1)}
       253:{3,5,7}:{(205,1),(206,1),(209,1)}
       254:{2,3,4,7}:{(210,1),(285,1),(298,1),(301,1),(411,1)}
       255:{2,4,5,7}:{(207,1),(211,1),(301,1),(302,1),(305,1),(370,1),(372,1),(411,1)}
       256:{1,3,4,6}:{(207,1),(208,1),(287,1),(299,1),(302,1),(365,1),(407,1),(409,1)}
       257:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(215,1),(288,1),(300,1),(303,1),(306,1),(406,1),(424,1)}
       258:{2,3,5}:{(210,1),(211,1),(289,1),(304,1)}
       259:{2,4,6}:{(211,1),(212,1),(216,1),(304,1),(305,1)}
       260:{1,3,4,7}:{(212,1),(213,1),(217,1),(291,1),(305,1),(367,1)}
       261:{3,4,6,7}:{(214,1),(297,1),(306,1)}
       262:{2,3,5,6,7}:{(214,1),(215,1),(218,1),(300,1),(306,1),(307,1)}
       263:{1,3,6,7}:{(215,1),(217,1),(219,1),(308,1)}
       264:{2,5,7}:{(216,1),(217,1),(305,1),(308,1)}
       265:{1,5,6,7}:{(218,1),(219,1),(364,1)}
       266:{2,4,6,7}:{(220,1),(222,1),(230,1),(310,1)}
       267:{2,3,5,6}:{(221,1),(228,1),(231,1),(311,1),(312,1),(415,1)}
       268:{3,5,7}:{(221,1),(222,1),(229,1),(310,1)}
       269:{3,5,6}:{(223,1),(225,1),(315,1)}
       270:{2,4,5,7}:{(223,1),(226,1),(235,1),(315,1),(329,1)}
       271:{1,3,4,5,7}:{(224,1),(227,1),(237,1),(317,1),(318,1),(322,1),(330,1),(383,1),(388,1),(414,1),(419,1),(426,1)}
       272:{2,3,4,6}:{(224,1),(225,1),(238,1),(314,1),(318,1),(341,1),(395,1)}
       273:{3,4,6,7}:{(225,1),(226,1),(229,1),(310,1),(315,1),(397,1),(420,1)}
       274:{2,3,4}:{(240,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(242,1),(311,1),(321,1),(322,1),(333,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(243,1),(312,1),(322,1),(343,1),(426,1)}
       278:{1,4,5,6,7}:{(230,1),(235,1),(249,1),(309,1),(323,1),(387,1),(412,1)}
       279:{1,3,4,6,7}:{(230,1),(232,1),(250,1),(310,1),(323,1),(324,1),(375,1),(377,1),(412,1),(425,1)}
       280:{1,4,5,6}:{(231,1),(242,1),(311,1),(325,1),(328,1)}
       281:{2,4,5,7}:{(231,1),(232,1),(243,1),(312,1),(324,1),(325,1),(329,1),(378,1)}
       282:{1,2,4,6}:{(233,1),(236,1),(326,1),(327,1)}
       283:{2,5,6}:{(234,1),(238,1),(328,1),(329,1)}
       284:{1,3,5,7}:{(234,1),(235,1),(239,1),(253,1),(315,1),(329,1)}
       285:{1,3,4,7}:{(236,1),(240,1),(254,1),(316,1),(326,1),(330,1),(419,1)}
       286:{1,2,4,5,7}:{(236,1),(237,1),(241,1),(244,1),(255,1),(317,1),(327,1),(330,1),(331,1),(334,1),(388,1),(390,1),(419,1)}
       287:{1,4,6}:{(237,1),(238,1),(245,1),(328,1)}
       288:{2,4,6,7}:{(238,1),(239,1),(243,1),(246,1),(329,1),(332,1)}
       289:{1,3,5}:{(240,1),(241,1),(258,1),(320,1),(333,1)}
       290:{1,2,4,6}:{(241,1),(242,1),(247,1),(259,1),(321,1),(333,1),(334,1)}
       291:{1,4,7}:{(242,1),(243,1),(248,1)}
       292:{1,2,6}:{(244,1),(245,1)}
       293:{1,3,6,7}:{(245,1),(246,1),(248,1),(332,1),(335,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(264,1),(334,1),(335,1),(378,1)}
       295:{3,5,6,7}:{(249,1),(250,1),(253,1),(425,1)}
       296:{2,4,5,6}:{(251,1),(252,1),(336,1),(337,1),(417,1)}
       297:{3,4,5,7}:{(251,1),(253,1),(261,1),(337,1),(426,1)}
       298:{2,3,4,6}:{(254,1),(326,1),(338,1),(341,1),(395,1)}
       299:{1,3,5,6}:{(252,1),(256,1),(328,1),(336,1),(339,1),(340,1),(393,1)}
       300:{2,3,5,7}:{(252,1),(253,1),(257,1),(329,1),(337,1),(340,1)}
       301:{2,3,5,7}:{(254,1),(255,1),(258,1),(330,1),(338,1),(341,1),(343,1)}
       302:{2,4,6}:{(255,1),(256,1),(339,1),(341,1)}
       303:{1,3,4,6,7}:{(256,1),(257,1),(260,1),(263,1),(332,1),(340,1),(342,1),(344,1),(391,1),(397,1),(419,1),(420,1)}
       304:{2,3,6}:{(258,1),(259,1),(333,1),(343,1)}
       305:{2,4,7}:{(259,1),(260,1),(264,1),(343,1)}
       306:{2,4,6,7}:{(261,1),(262,1),(337,1),(344,1)}
       307:{1,3,5,6,7}:{(262,1),(263,1),(265,1),(340,1),(344,1),(345,1),(397,1)}
       308:{2,6,7}:{(263,1),(264,1)}
       309:{2,4,5,6,7}:{(266,1),(270,1),(278,1),(346,1),(360,1),(398,1)}
       310:{3,6,7}:{(266,1),(268,1)}
       311:{1,3,5,6}:{(267,1),(276,1),(280,1),(348,1),(349,1)}
       312:{2,3,5,7}:{(267,1),(268,1),(277,1),(281,1),(347,1),(349,1),(423,1)}
       313:{3,4,5,6}:{(269,1),(350,1),(351,1),(409,1)}
       314:{2,3,5,6}:{(269,1),(272,1),(283,1),(350,1),(353,1),(354,1)}
       315:{3,5,7}:{(269,1),(270,1),(273,1)}
       316:{2,3,4,7}:{(274,1),(285,1),(352,1),(355,1),(424,1)}
       317:{2,4,5,7}:{(271,1),(275,1),(355,1),(356,1),(359,1),(403,1),(405,1),(424,1)}
       318:{1,3,4,6}:{(271,1),(272,1),(287,1),(353,1),(356,1),(365,1),(407,1),(422,1)}
       319:{2,3,4,6,7}:{(272,1),(273,1),(277,1),(288,1),(347,1),(354,1),(357,1),(373,1),(398,1),(411,1)}
       320:{2,3,5}:{(274,1),(275,1),(289,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(348,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(291,1),(349,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(295,1),(346,1),(360,1)}
       324:{2,4,6,7}:{(279,1),(281,1),(347,1),(360,1),(361,1),(400,1)}
       325:{1,4,5,7}:{(280,1),(281,1),(291,1),(349,1),(361,1),(364,1)}
       326:{1,3,4,6}:{(282,1),(285,1),(298,1),(352,1),(362,1),(365,1),(407,1)}
       327:{1,2,5}:{(282,1),(362,1)}
       328:{1,5,6}:{(283,1),(287,1),(364,1)}
       329:{2,5,7}:{(283,1),(284,1),(288,1),(364,1)}
       330:{1,3,5,7}:{(285,1),(286,1),(289,1),(301,1),(355,1),(362,1),(365,1),(367,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(292,1),(302,1),(356,1),(363,1),(365,1),(407,1)}
       332:{1,4,6,7}:{(287,1),(288,1),(291,1),(293,1),(364,1)}
       333:{1,3,6}:{(289,1),(290,1),(304,1),(358,1),(367,1)}
       334:{1,2,4,7}:{(290,1),(291,1),(294,1),(305,1),(359,1),(367,1)}
       335:{1,2,6,7}:{(292,1),(293,1),(294,1),(308,1),(400,1)}
       336:{1,4,5,6}:{(296,1),(299,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(296,1),(297,1),(300,1),(306,1),(369,1),(424,1)}
       338:{2,3,5}:{(298,1),(362,1),(370,1)}
       339:{2,5,6}:{(299,1),(302,1),(372,1)}
       340:{1,3,5,7}:{(299,1),(300,1),(303,1),(364,1),(369,1),(372,1),(410,1)}
       341:{2,3,6}:{(301,1),(302,1),(365,1)}
       342:{2,4,6,7}:{(302,1),(303,1),(305,1),(308,1),(372,1),(373,1),(411,1)}
       343:{2,3,7}:{(304,1),(305,1),(367,1)}
       344:{1,4,6,7}:{(306,1),(307,1),(369,1),(374,1)}
       345:{2,5,6,7}:{(307,1),(308,1),(372,1),(374,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(315,1),(375,1)}
       347:{2,3,6,7}:{(310,1),(312,1),(324,1),(377,1),(425,1)}
       348:{2,5,6}:{(311,1),(321,1),(378,1)}
       349:{1,3,5,7}:{(311,1),(312,1),(322,1),(325,1),(377,1),(378,1)}
       350:{2,4,5,6}:{(313,1),(314,1),(379,1),(380,1),(395,1)}
       351:{3,4,5,7}:{(313,1),(315,1),(375,1),(380,1),(420,1)}
       352:{2,3,4,6}:{(316,1),(326,1),(381,1),(384,1),(417,1)}
       353:{1,3,5,6}:{(314,1),(318,1),(328,1),(379,1),(382,1),(383,1),(415,1)}
       354:{2,3,5,7}:{(314,1),(315,1),(319,1),(329,1),(380,1),(383,1)}
       355:{2,3,5,7}:{(316,1),(317,1),(320,1),(330,1),(381,1),(384,1),(386,1)}
       356:{2,4,6}:{(317,1),(318,1),(382,1),(384,1)}
       357:{1,3,4,6,7}:{(318,1),(319,1),(322,1),(332,1),(377,1),(383,1),(385,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       358:{2,3,6}:{(320,1),(321,1),(333,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(378,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(324,1),(329,1),(387,1)}
       361:{1,4,6,7}:{(324,1),(325,1),(377,1),(387,1)}
       362:{1,3,5}:{(326,1),(327,1),(338,1),(381,1),(388,1)}
       363:{1,2,5,6}:{(327,1),(328,1),(331,1),(339,1),(382,1),(389,1),(390,1)}
       364:{1,5,7}:{(328,1),(329,1),(332,1)}
       365:{1,3,6}:{(330,1),(331,1),(341,1),(384,1)}
       366:{1,2,4,6,7}:{(331,1),(332,1),(334,1),(335,1),(342,1),(385,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(333,1),(334,1),(343,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(339,1),(393,1),(394,1),(395,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(340,1),(344,1),(394,1),(419,1)}
       370:{2,4,5}:{(338,1),(388,1),(392,1),(395,1)}
       371:{2,3,5,6}:{(338,1),(339,1),(341,1),(389,1),(393,1),(395,1),(396,1)}
       372:{2,5,7}:{(339,1),(340,1),(342,1)}
       373:{2,3,6,7}:{(341,1),(342,1),(343,1),(391,1),(396,1),(397,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(394,1),(397,1)}
       375:{3,4,6,7}:{(346,1),(351,1),(398,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(354,1),(360,1),(398,1),(399,1)}
       377:{1,3,6,7}:{(347,1),(349,1),(361,1),(400,1)}
       378:{2,5,7}:{(348,1),(349,1),(359,1),(400,1)}
       379:{1,4,5,6}:{(350,1),(353,1),(401,1),(402,1),(407,1)}
       380:{2,4,5,7}:{(350,1),(351,1),(354,1),(398,1),(402,1),(411,1)}
       381:{2,3,5}:{(352,1),(362,1),(403,1)}
       382:{2,5,6}:{(353,1),(356,1),(405,1)}
       383:{1,3,5,7}:{(353,1),(354,1),(357,1),(364,1),(402,1),(405,1),(423,1)}
       384:{2,3,6}:{(355,1),(356,1),(365,1)}
       385:{2,4,6,7}:{(356,1),(357,1),(359,1),(400,1),(405,1),(406,1),(424,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(361,1),(364,1)}
       388:{1,4,5}:{(362,1),(370,1),(403,1),(407,1)}
       389:{1,3,5,6}:{(362,1),(363,1),(365,1),(371,1),(404,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(363,1),(364,1),(366,1),(372,1),(405,1),(408,1)}
       391:{1,3,6,7}:{(365,1),(366,1),(367,1),(373,1),(406,1),(408,1)}
       392:{3,4,5}:{(370,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(372,1),(374,1),(410,1),(411,1)}
       395:{2,4,6}:{(370,1),(371,1),(407,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(371,1),(372,1),(373,1),(408,1),(410,1),(411,1)}
       397:{3,6,7}:{(374,1),(410,1)}
       398:{2,4,6,7}:{(375,1),(376,1),(380,1),(412,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(383,1),(387,1),(412,1),(413,1),(425,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{2,4,5,6}:{(379,1),(382,1),(415,1),(416,1),(417,1)}
       402:{1,4,5,7}:{(379,1),(380,1),(383,1),(412,1),(416,1),(419,1)}
       403:{2,4,5}:{(381,1),(388,1),(414,1),(417,1)}
       404:{2,3,5,6}:{(381,1),(382,1),(384,1),(389,1),(415,1),(417,1),(418,1)}
       405:{2,5,7}:{(382,1),(383,1),(385,1)}
       406:{2,3,6,7}:{(384,1),(385,1),(386,1),(391,1),(418,1),(425,1)}
       407:{1,4,6}:{(388,1),(389,1),(395,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(395,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(397,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(399,1),(402,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(405,1),(421,1)}
       414:{3,4,5}:{(403,1),(422,1)}
       415:{3,5,6}:{(401,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(401,1),(402,1),(405,1),(421,1),(423,1),(424,1)}
       417:{2,4,6}:{(403,1),(404,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(404,1),(405,1),(406,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(413,1),(416,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(417,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2022 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(44,1),(56,1),(97,1),(112,1),(114,1),(151,1),(157,1),(209,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(32,1),(79,1),(80,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(28,1),(36,1),(74,1),(81,1),(83,1),(85,1),(129,1),(141,1),(142,1),(183,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(79,1),(177,1),(182,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(20,1),(43,1),(60,1),(93,1),(111,1),(149,1),(152,1),(154,1),(157,1),(241,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(54,1),(55,1),(108,1),(109,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(52,1),(105,1),(112,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(58,1),(60,1),(157,1),(168,1),(169,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(61,1),(108,1),(156,1),(204,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(97,1),(150,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(176,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(139,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(8,1),(25,1),(28,1),(29,1),(73,1),(74,1),(81,1),(138,1),(176,1),(183,1),(184,1),(185,1),(189,1),(217,1),(235,1)}
        14:{2,4,5,7}:{(6,1),(30,1),(31,1),(32,1),(79,1),(189,1)}
        15:{2,5,6,7}:{(5,1),(33,1),(35,1),(79,1),(138,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(31,1),(33,1),(36,1)}
        17:{3,4,6,7}:{(6,1),(32,1),(37,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(35,1),(36,1),(83,1),(135,1),(141,1)}
        19:{2,4,6}:{(7,1),(10,1),(36,1),(37,1)}
        20:{2,3,6,7}:{(8,1),(28,1),(38,1),(83,1),(130,1),(192,1),(217,1)}
        21:{2,5,7}:{(8,1),(9,1),(35,1),(182,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(36,1),(39,1),(74,1),(128,1)}
        23:{3,4,5,7}:{(10,1),(32,1),(37,1),(125,1),(177,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(90,1),(147,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(60,1),(110,1)}
        28:{1,3,6,7}:{(13,1),(20,1),(44,1),(49,1),(101,1),(158,1),(206,1),(209,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(21,1),(45,1),(48,1),(49,1),(108,1),(165,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(14,1),(19,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{1,4,5,7}:{(14,1),(16,1),(51,1),(53,1),(54,1),(108,1),(164,1)}
        32:{3,5,7}:{(14,1),(17,1),(52,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(16,1),(53,1),(55,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(54,1),(55,1),(56,1),(59,1),(106,1),(109,1),(164,1),(209,1)}
        35:{2,5,6}:{(18,1),(21,1),(58,1),(168,1)}
        36:{1,4,6}:{(18,1),(19,1),(22,1),(58,1)}
        37:{3,4,6}:{(19,1),(23,1),(52,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(49,1),(57,1),(60,1),(61,1),(227,1),(241,1)}
        39:{2,4,5,7}:{(21,1),(22,1),(58,1),(60,1),(61,1),(110,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(54,1),(59,1),(61,1),(62,1),(102,1),(106,1),(115,1),(156,1),(161,1),(164,1),(207,1),(209,1),(233,1)}
        41:{2,3,5,6,7}:{(24,1),(64,1),(65,1),(117,1),(171,1),(175,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(174,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(138,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(85,1),(117,1),(139,1)}
        48:{1,2,5,6}:{(29,1),(35,1),(66,1),(72,1),(73,1),(135,1),(174,1),(182,1),(184,1),(188,1),(216,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(38,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(39,1),(70,1),(73,1),(74,1),(75,1),(87,1),(127,1),(128,1),(131,1),(143,1),(181,1),(182,1),(185,1),(189,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(36,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(32,1),(37,1),(177,1),(224,1)}
        53:{2,4,5,7}:{(31,1),(33,1),(76,1),(78,1),(79,1),(136,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(34,1),(77,1),(78,1),(79,1)}
        55:{3,6,7}:{(33,1),(78,1),(83,1)}
        56:{2,4,6,7}:{(34,1),(79,1),(80,1),(81,1),(84,1),(136,1),(138,1),(189,1)}
        57:{2,3,5,6}:{(35,1),(38,1),(72,1),(82,1),(83,1),(130,1),(139,1),(182,1),(216,1),(237,1),(238,1)}
        58:{2,4,6}:{(35,1),(36,1),(39,1),(83,1)}
        59:{1,3,4,6}:{(36,1),(37,1),(40,1),(77,1),(83,1),(84,1),(133,1),(141,1),(187,1),(224,1)}
        60:{2,4,7}:{(38,1),(74,1),(82,1),(85,1)}
        61:{3,5,7}:{(39,1),(83,1),(85,1),(139,1)}
        62:{2,4,5,7}:{(40,1),(79,1),(84,1),(86,1),(87,1),(131,1),(136,1),(143,1),(182,1),(186,1),(189,1),(223,1)}
        63:{2,4,5,6}:{(43,1),(88,1),(89,1),(90,1),(110,1),(147,1),(229,1)}
        64:{1,3,5,6,7}:{(41,1),(42,1),(91,1),(92,1),(145,1),(148,1),(195,1),(199,1)}
        65:{2,4,6,7}:{(41,1),(43,1),(88,1),(92,1),(93,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(90,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(165,1),(209,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(196,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(57,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(58,1),(95,1),(100,1),(101,1),(113,1),(153,1),(157,1),(168,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(60,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(61,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(209,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(53,1),(58,1),(104,1),(105,1),(110,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(59,1),(104,1),(105,1),(156,1)}
        78:{3,5,7}:{(53,1),(55,1),(104,1),(106,1)}
        79:{2,5,7}:{(54,1),(56,1),(105,1),(108,1)}
        80:{2,3,6,7}:{(55,1),(56,1),(107,1),(109,1),(112,1),(209,1)}
        81:{1,4,6,7}:{(56,1),(108,1),(109,1),(113,1),(164,1)}
        82:{2,4,6}:{(57,1),(60,1),(100,1),(110,1),(111,1),(243,1)}
        83:{3,6}:{(58,1),(61,1)}
        84:{2,4,6}:{(59,1),(62,1),(105,1),(112,1),(113,1),(168,1)}
        85:{3,4,7}:{(60,1),(61,1),(111,1),(241,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(112,1),(114,1),(115,1),(166,1),(209,1),(233,1)}
        87:{1,4,5,7}:{(62,1),(108,1),(113,1),(115,1),(159,1),(164,1),(204,1),(207,1)}
        88:{2,4,5,7}:{(63,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{1,4,5,6}:{(63,1),(67,1),(116,1),(118,1),(119,1),(128,1),(174,1),(215,1)}
        90:{3,5,6}:{(63,1),(68,1),(117,1),(139,1),(237,1)}
        91:{2,5,6,7}:{(64,1),(66,1),(120,1),(171,1),(217,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(120,1)}
        93:{3,4,6,7}:{(65,1),(68,1),(117,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(119,1),(123,1),(124,1),(172,1),(179,1),(215,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(214,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(82,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(83,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(85,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(143,1),(181,1),(182,1),(192,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(78,1),(83,1),(133,1),(139,1)}
       105:{2,5,6}:{(77,1),(79,1),(84,1),(135,1),(182,1)}
       106:{3,4,7}:{(78,1),(133,1),(136,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(80,1),(134,1),(136,1),(137,1)}
       108:{1,5,7}:{(79,1),(81,1),(135,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(137,1),(138,1),(141,1)}
       110:{2,4,5}:{(82,1),(128,1),(139,1),(182,1)}
       111:{3,4,6}:{(82,1),(83,1),(85,1),(139,1),(237,1),(244,1)}
       112:{2,3,6}:{(83,1),(84,1),(86,1),(141,1),(224,1)}
       113:{1,4,6}:{(84,1),(87,1),(135,1),(141,1)}
       114:{2,3,4,7}:{(85,1),(86,1),(131,1),(136,1),(140,1),(142,1),(220,1),(240,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(141,1),(142,1),(143,1),(190,1)}
       116:{1,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(90,1),(93,1),(241,1)}
       118:{2,4,5,6}:{(89,1),(95,1),(144,1),(146,1),(147,1),(150,1),(197,1)}
       119:{1,3,5,6}:{(89,1),(90,1),(96,1),(145,1),(146,1),(147,1),(156,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(95,1),(144,1),(148,1)}
       121:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(193,1),(199,1),(226,1),(241,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(147,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(209,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(110,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(111,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(168,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(106,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(107,1),(112,1),(162,1),(163,1),(166,1)}
       135:{1,5,6}:{(105,1),(108,1),(113,1),(204,1)}
       136:{2,4,7}:{(106,1),(107,1),(162,1),(164,1)}
       137:{1,3,5,7}:{(107,1),(108,1),(109,1),(163,1),(164,1),(165,1),(209,1)}
       138:{2,6,7}:{(109,1),(165,1),(168,1)}
       139:{3,5}:{(110,1),(111,1)}
       140:{2,3,4,6}:{(111,1),(112,1),(114,1),(157,1),(162,1),(166,1),(167,1),(231,1),(243,1)}
       141:{1,3,6}:{(112,1),(113,1),(115,1),(168,1)}
       142:{1,3,4,7}:{(114,1),(115,1),(159,1),(164,1),(167,1),(169,1),(206,1),(209,1)}
       143:{2,5,7}:{(115,1),(168,1),(169,1),(210,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,5,6}:{(118,1),(123,1),(170,1),(172,1),(177,1)}
       147:{2,5,6}:{(119,1),(124,1),(171,1),(174,1),(182,1)}
       148:{3,6,7}:{(120,1),(123,1),(170,1)}
       149:{2,4,6,7}:{(121,1),(124,1),(171,1),(175,1),(176,1),(212,1),(217,1),(235,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(174,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(192,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(139,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(143,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(139,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(136,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(137,1),(141,1),(187,1),(188,1),(190,1),(224,1)}
       164:{1,4,7}:{(136,1),(137,1),(187,1),(189,1)}
       165:{2,5,7}:{(137,1),(138,1),(188,1),(189,1)}
       166:{2,3,5}:{(139,1),(140,1),(182,1),(186,1),(190,1)}
       167:{1,3,4,6}:{(140,1),(141,1),(142,1),(183,1),(187,1),(190,1),(191,1),(222,1),(224,1),(239,1),(240,1)}
       168:{2,6}:{(141,1),(143,1)}
       169:{2,4,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{3,4,6}:{(146,1),(193,1),(196,1),(197,1)}
       173:{2,3,5,6}:{(146,1),(147,1),(152,1),(194,1),(197,1),(198,1),(200,1)}
       174:{1,5,6}:{(147,1),(153,1),(195,1),(204,1)}
       175:{2,3,6,7}:{(148,1),(149,1),(152,1),(194,1),(199,1),(241,1)}
       176:{1,4,6,7}:{(149,1),(153,1),(195,1),(199,1),(226,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(197,1),(200,1),(201,1),(211,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(168,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(169,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(166,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(164,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(165,1),(168,1),(208,1),(210,1)}
       189:{2,4,7}:{(164,1),(165,1),(208,1),(209,1)}
       190:{1,3,5}:{(166,1),(167,1),(204,1),(207,1),(210,1),(233,1)}
       191:{2,4,6}:{(167,1),(168,1),(169,1),(210,1),(211,1),(234,1)}
       192:{2,3,7}:{(169,1),(206,1),(209,1),(211,1)}
       193:{3,4,7}:{(170,1),(172,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(173,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(174,1),(176,1)}
       196:{3,4,5}:{(172,1),(177,1),(214,1),(240,1)}
       197:{2,4,6}:{(172,1),(173,1),(212,1),(214,1),(215,1)}
       198:{1,3,5,6}:{(173,1),(174,1),(179,1),(213,1),(215,1),(216,1),(218,1),(237,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(179,1),(213,1),(217,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(214,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(215,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(191,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(192,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(189,1),(223,1),(224,1)}
       209:{3,7}:{(189,1),(224,1)}
       210:{2,5}:{(190,1),(191,1)}
       211:{2,3,6}:{(191,1),(192,1),(222,1),(224,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(197,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(198,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,4,5}:{(196,1),(197,1),(200,1),(228,1),(234,1)}
       215:{1,4,6}:{(197,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5,6}:{(198,1),(202,1),(227,1),(229,1),(230,1)}
       217:{2,6,7}:{(199,1),(202,1),(227,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(210,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(211,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(209,1),(233,1)}
       225:{2,3,5}:{(210,1),(211,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(215,1),(235,1)}
       227:{2,5,7}:{(213,1),(216,1),(217,1),(235,1)}
       228:{1,4,5}:{(214,1),(215,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(215,1),(216,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2023 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(87,1),(155,1),(160,1),(227,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(60,1),(123,1),(259,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(119,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(87,1),(88,1),(93,1),(155,1),(219,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(159,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(154,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(115,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(55,1),(69,1),(78,1),(113,1),(136,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(61,1),(67,1),(124,1),(125,1),(132,1),(137,1),(189,1),(192,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(183,1),(250,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(191,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(119,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(123,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(190,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(83,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(91,1),(102,1),(228,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(225,1),(227,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(155,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(60,1),(61,1),(124,1),(197,1),(256,1),(296,1)}
        37:{2,3,4,5}:{(59,1),(62,1),(143,1),(197,1),(208,1),(247,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(56,1),(63,1),(73,1),(115,1),(127,1),(138,1),(183,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(121,1),(132,1),(189,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(59,1),(65,1),(69,1),(78,1),(181,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(124,1),(193,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(60,1),(259,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(61,1),(72,1),(132,1),(191,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(190,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(39,1),(83,1),(84,1),(93,1),(144,1)}
        58:{2,3,4,5,7}:{(37,1),(85,1),(86,1),(87,1),(144,1),(176,1),(223,1),(238,1),(299,1),(303,1),(312,1)}
        59:{2,3,4,6}:{(37,1),(42,1),(87,1),(89,1),(109,1),(172,1),(216,1),(229,1)}
        60:{2,3,6}:{(36,1),(45,1),(91,1),(306,1)}
        61:{2,4,7}:{(36,1),(46,1),(91,1),(232,1)}
        62:{1,3,4,5}:{(37,1),(89,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(87,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(156,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(88,1),(98,1),(225,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(89,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(147,1),(157,1),(160,1),(172,1),(214,1),(228,1),(236,1),(240,1),(271,1),(282,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(90,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(91,1),(102,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(226,1),(234,1),(281,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(64,1),(115,1),(116,1),(127,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(62,1),(117,1),(118,1),(119,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(119,1),(140,1),(204,1),(244,1),(256,1)}
        88:{2,3,6,7}:{(60,1),(68,1),(120,1),(121,1),(256,1),(259,1)}
        89:{1,3,4,6}:{(59,1),(62,1),(69,1),(119,1),(122,1),(194,1),(207,1)}
        90:{2,3,5,6}:{(60,1),(71,1),(120,1),(123,1),(124,1),(193,1),(196,1),(259,1)}
        91:{2,4,6}:{(60,1),(61,1),(72,1),(124,1)}
        92:{2,4,5}:{(62,1),(122,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(183,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(116,1),(128,1),(129,1),(193,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(119,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(189,1),(192,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(296,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(120,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(121,1),(132,1),(133,1),(191,1),(206,1),(257,1),(259,1),(262,1),(297,1)}
       100:{2,5,6}:{(69,1),(122,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(181,1),(194,1),(196,1),(259,1),(261,1),(297,1),(310,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(123,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(124,1),(137,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(241,1),(284,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(148,1),(174,1),(234,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(163,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(92,1),(151,1),(153,1),(154,1),(212,1),(268,1),(272,1)}
       119:{1,3,4,7}:{(87,1),(89,1),(96,1),(154,1),(225,1),(237,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(98,1),(155,1),(156,1),(227,1)}
       121:{2,4,6,7}:{(88,1),(91,1),(99,1),(155,1),(156,1),(228,1),(279,1),(306,1)}
       122:{2,4,6}:{(89,1),(92,1),(100,1),(154,1),(158,1)}
       123:{2,4,6}:{(90,1),(102,1),(155,1),(159,1),(160,1)}
       124:{2,5}:{(91,1),(103,1)}
       125:{1,2,4,5}:{(92,1),(157,1),(161,1),(232,1),(240,1),(282,1)}
       126:{2,3,5}:{(92,1),(158,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(149,1),(163,1),(164,1),(165,1),(228,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(150,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(305,1)}
       130:{2,5,7}:{(96,1),(100,1),(154,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(225,1),(227,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(155,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(156,1),(169,1),(170,1),(227,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(157,1),(166,1),(171,1),(282,1),(306,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(158,1),(167,1),(171,1),(172,1),(229,1),(231,1),(281,1),(282,1),(284,1),(306,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(159,1),(168,1),(172,1),(173,1),(216,1),(271,1),(302,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(160,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(281,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(298,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(127,1),(178,1),(182,1),(183,1),(244,1),(248,1),(262,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(120,1),(129,1),(183,1),(184,1),(193,1),(200,1),(243,1),(250,1),(259,1),(263,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(125,1),(185,1),(187,1),(189,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(296,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(126,1),(186,1),(187,1),(188,1),(190,1),(254,1)}
       154:{2,4,7}:{(119,1),(122,1),(130,1),(190,1)}
       155:{2,4,7}:{(120,1),(123,1),(132,1),(191,1)}
       156:{2,5,7}:{(121,1),(124,1),(133,1),(193,1)}
       157:{1,2,4,6}:{(122,1),(125,1),(134,1),(189,1),(194,1),(207,1),(260,1)}
       158:{2,3,6}:{(122,1),(126,1),(190,1),(194,1)}
       159:{3,4,6}:{(123,1),(191,1),(196,1),(259,1)}
       160:{2,4,5}:{(123,1),(124,1),(137,1),(196,1)}
       161:{1,3,5}:{(125,1),(126,1),(194,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(183,1),(200,1),(259,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(184,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(189,1),(199,1),(203,1),(296,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(190,1),(200,1),(203,1),(204,1),(256,1),(263,1),(296,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(191,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(192,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(193,1),(206,1),(259,1),(297,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(194,1),(203,1),(207,1),(261,1),(297,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(196,1),(208,1),(247,1),(261,1),(291,1),(310,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(163,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(155,1),(165,1),(219,1),(220,1),(228,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(161,1),(221,1),(223,1),(224,1),(225,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(162,1),(222,1),(224,1),(268,1)}
       189:{1,2,4,7}:{(154,1),(157,1),(166,1),(225,1),(237,1),(279,1)}
       190:{2,3,7}:{(154,1),(158,1),(225,1)}
       191:{3,4,7}:{(155,1),(159,1),(227,1)}
       192:{2,4,5,7}:{(155,1),(156,1),(160,1),(169,1),(227,1),(228,1)}
       193:{2,5,6}:{(156,1),(170,1),(228,1),(306,1)}
       194:{1,3,6}:{(157,1),(158,1),(161,1),(225,1),(229,1)}
       195:{2,3,4,6}:{(158,1),(159,1),(162,1),(172,1),(226,1),(230,1),(231,1),(281,1),(302,1)}
       196:{3,5}:{(159,1),(160,1)}
       197:{2,3,5}:{(161,1),(229,1),(232,1),(282,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(281,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(219,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(220,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(225,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(227,1),(235,1),(238,1),(239,1),(269,1),(280,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(228,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(231,1),(240,1),(282,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(298,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(199,1),(242,1),(248,1),(262,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(190,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(191,1),(244,1),(250,1),(259,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(202,1),(250,1),(251,1),(263,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(197,1),(252,1),(255,1),(256,1),(295,1),(296,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(198,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,7}:{(189,1),(190,1),(194,1),(256,1)}
       226:{2,3,4,7}:{(190,1),(191,1),(195,1),(204,1),(257,1),(258,1),(307,1)}
       227:{3,5,7}:{(191,1),(192,1),(196,1),(259,1)}
       228:{2,4,6}:{(192,1),(193,1),(206,1),(259,1)}
       229:{2,3,6}:{(194,1),(197,1),(256,1),(260,1)}
       230:{1,3,4,6}:{(194,1),(195,1),(198,1),(207,1),(257,1),(260,1),(261,1),(297,1)}
       231:{2,3,5}:{(195,1),(196,1),(208,1),(261,1),(310,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(250,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(251,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(258,1),(263,1),(265,1),(266,1),(296,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(259,1),(264,1),(266,1),(289,1),(297,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(261,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(283,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(225,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(234,1),(268,1),(274,1),(275,1),(281,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(236,1),(276,1),(284,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(232,1),(277,1)}
       256:{2,3,7}:{(225,1),(229,1),(279,1)}
       257:{1,3,4,7}:{(225,1),(226,1),(230,1),(237,1),(279,1),(280,1)}
       258:{2,3,5,7}:{(226,1),(227,1),(231,1),(238,1),(280,1),(281,1),(312,1)}
       259:{3,6}:{(227,1),(228,1)}
       260:{2,4,6}:{(229,1),(230,1),(232,1),(279,1),(282,1),(306,1)}
       261:{1,3,5}:{(230,1),(231,1),(240,1),(282,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(276,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(280,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(281,1),(284,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(256,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(257,1),(262,1),(287,1),(292,1),(293,1),(297,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(263,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(259,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{2,4,7}:{(256,1),(257,1),(260,1),(296,1)}
       280:{1,3,5,7}:{(257,1),(258,1),(261,1),(265,1),(296,1),(297,1)}
       281:{2,3,6}:{(258,1),(259,1),(266,1),(297,1),(314,1)}
       282:{2,5}:{(260,1),(261,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(279,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(283,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(281,1),(284,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{2,5,7}:{(279,1),(280,1),(282,1),(306,1)}
       297:{1,3,6}:{(280,1),(281,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(297,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2024 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(128,1),(175,1),(178,1),(184,1),(210,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(26,1),(29,1),(232,1),(233,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(38,1),(77,1),(92,1),(149,1),(167,1),(169,1),(229,1),(255,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(217,1),(228,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(48,1),(277,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(126,1),(300,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(60,1),(61,1),(126,1),(212,1),(298,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(48,1),(111,1),(127,1),(274,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(56,1),(99,1),(178,1),(206,1),(210,1),(261,1),(273,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(260,1),(272,1)}
        11:{1,2,3,6,7}:{(5,1),(24,1),(25,1),(75,1),(144,1),(230,1),(233,1),(320,1),(321,1),(383,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(149,1),(327,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(26,1),(28,1),(29,1),(67,1),(77,1),(78,1),(149,1),(229,1),(232,1),(239,1),(325,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(27,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(25,1),(29,1),(30,1),(71,1),(76,1),(80,1),(144,1),(153,1),(241,1),(242,1),(321,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(26,1),(34,1),(35,1),(257,1),(337,1)}
        17:{2,3,4,6}:{(6,1),(27,1),(34,1),(35,1),(91,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(37,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(75,1),(86,1),(149,1),(162,1),(167,1),(253,1),(255,1),(317,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(37,1),(38,1),(39,1),(94,1),(316,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(38,1),(40,1),(303,1),(315,1)}
        22:{2,4,5,6}:{(10,1),(39,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(105,1),(188,1),(273,1),(277,1),(358,1)}
        25:{1,2,3,5,7}:{(11,1),(15,1),(45,1),(46,1),(106,1),(110,1),(195,1),(285,1),(360,1),(401,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(16,1),(42,1),(48,1),(49,1),(284,1),(360,1)}
        27:{1,3,4,6}:{(12,1),(14,1),(17,1),(43,1),(48,1),(49,1),(111,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(48,1),(51,1),(98,1),(111,1),(274,1),(277,1)}
        29:{1,2,5}:{(14,1),(49,1)}
        30:{1,2,4,6}:{(15,1),(46,1),(52,1),(53,1),(111,1),(193,1),(286,1),(402,1)}
        31:{2,3,4,6,7}:{(17,1),(44,1),(54,1),(58,1),(107,1),(120,1),(126,1),(186,1),(203,1),(273,1),(398,1),(399,1),(422,1)}
        32:{2,3,5,6,7}:{(21,1),(55,1),(56,1),(118,1),(200,1),(206,1)}
        33:{2,3,4,5,7}:{(16,1),(47,1),(57,1),(60,1),(121,1),(124,1),(126,1),(180,1),(184,1),(267,1)}
        34:{2,3,6}:{(16,1),(18,1),(48,1)}
        35:{2,3,5}:{(17,1),(49,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(58,1),(61,1),(126,1),(297,1),(298,1)}
        37:{2,5,6}:{(18,1),(20,1),(61,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(61,1),(63,1),(129,1),(353,1)}
        39:{1,4,5,6}:{(20,1),(22,1),(62,1),(63,1),(111,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(56,1),(63,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(260,1)}
        42:{2,3,5,7}:{(23,1),(26,1),(67,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(27,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,6,7}:{(24,1),(27,1),(31,1),(66,1),(70,1),(73,1),(75,1),(141,1),(144,1),(146,1),(149,1),(231,1),(317,1),(383,1),(384,1),(415,1)}
        45:{1,2,5,7}:{(24,1),(29,1),(70,1),(71,1),(315,1),(385,1)}
        46:{1,2,4,7}:{(25,1),(30,1),(73,1),(149,1),(237,1),(415,1)}
        47:{1,3,4,5,7}:{(26,1),(33,1),(67,1),(74,1),(77,1),(139,1),(147,1),(149,1),(222,1),(224,1),(229,1),(311,1)}
        48:{1,3,6}:{(26,1),(28,1),(34,1),(68,1)}
        49:{1,3,5}:{(27,1),(29,1),(35,1),(69,1),(77,1)}
        50:{1,2,4,6,7}:{(28,1),(36,1),(75,1),(78,1),(135,1),(149,1),(317,1),(320,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(37,1),(76,1),(78,1),(136,1),(316,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(77,1),(80,1),(151,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(73,1),(80,1),(81,1),(144,1),(326,1),(327,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(70,1),(83,1),(84,1),(248,1),(315,1),(414,1)}
        55:{1,3,5,6,7}:{(32,1),(38,1),(85,1),(86,1),(162,1),(246,1),(253,1)}
        56:{2,4,6,7}:{(32,1),(40,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(34,1),(74,1),(89,1),(91,1),(160,1),(228,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(75,1),(90,1),(162,1),(337,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(37,1),(76,1),(90,1),(91,1),(94,1)}
        60:{2,4,5}:{(35,1),(77,1),(91,1),(92,1)}
        61:{2,5,7}:{(36,1),(37,1),(38,1)}
        62:{2,4,5,6}:{(37,1),(39,1),(91,1),(93,1),(94,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(40,1),(86,1),(93,1),(149,1)}
        64:{1,3,4,5,6}:{(39,1),(41,1),(94,1),(95,1),(96,1),(150,1),(171,1),(226,1),(243,1),(329,1),(387,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(222,1),(303,1)}
        66:{2,3,4,6,7}:{(43,1),(44,1),(97,1),(99,1),(107,1),(174,1),(178,1),(186,1),(261,1),(273,1),(366,1),(367,1),(406,1)}
        67:{2,4,5,7}:{(42,1),(47,1),(98,1),(101,1),(176,1),(178,1),(269,1),(349,1)}
        68:{2,3,6}:{(42,1),(48,1),(98,1)}
        69:{2,3,5}:{(43,1),(49,1),(101,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(49,1),(54,1),(97,1),(102,1),(103,1),(353,1),(403,1)}
        71:{1,2,5,6}:{(45,1),(102,1),(105,1),(272,1),(277,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(103,1),(105,1),(106,1),(184,1)}
        73:{1,3,4,7}:{(46,1),(53,1),(106,1),(107,1),(360,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(57,1),(98,1),(109,1),(111,1),(179,1),(274,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(58,1),(99,1),(110,1),(360,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(51,1),(59,1),(100,1),(110,1),(111,1)}
        77:{1,4,5}:{(49,1),(60,1),(101,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(61,1),(110,1),(176,1),(353,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(62,1),(105,1),(111,1),(113,1),(114,1),(132,1),(177,1),(181,1),(193,1),(214,1),(272,1),(281,1),(283,1),(348,1),(354,1),(362,1),(394,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(107,1),(115,1),(116,1),(186,1),(193,1),(299,1),(300,1),(350,1),(351,1)}
        82:{2,4,5,6,7}:{(56,1),(117,1),(118,1),(200,1),(259,1),(363,1)}
        83:{2,3,5,6}:{(54,1),(102,1),(120,1),(186,1),(202,1),(272,1)}
        84:{2,4,5,7}:{(54,1),(60,1),(103,1),(120,1),(121,1),(126,1),(422,1),(423,1)}
        85:{2,5,6,7}:{(55,1),(61,1),(122,1),(297,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(63,1),(122,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(118,1)}
        88:{2,3,4,6,7}:{(57,1),(58,1),(108,1),(124,1),(126,1),(203,1),(208,1),(267,1),(273,1),(346,1)}
        89:{2,3,5,6}:{(57,1),(109,1),(124,1),(125,1),(202,1),(272,1)}
        90:{2,3,5,7}:{(58,1),(59,1),(61,1),(110,1),(126,1),(129,1)}
        91:{2,4,6}:{(59,1),(60,1),(111,1),(126,1),(127,1)}
        92:{3,4,5}:{(60,1),(127,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(63,1),(122,1),(126,1),(129,1)}
        94:{3,5,6}:{(62,1),(127,1),(129,1)}
        95:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(123,1),(129,1),(131,1),(192,1),(213,1),(271,1),(287,1),(361,1),(404,1)}
        96:{2,4,5,6}:{(64,1),(130,1),(131,1),(132,1),(193,1),(214,1),(272,1)}
        97:{2,3,5,7}:{(66,1),(69,1),(70,1),(133,1),(134,1),(303,1),(315,1),(391,1)}
        98:{2,4,6}:{(67,1),(68,1),(74,1),(136,1)}
        99:{2,3,6,7}:{(68,1),(75,1),(135,1),(137,1),(308,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(137,1),(138,1),(221,1)}
       101:{2,4,5}:{(69,1),(77,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(83,1),(133,1),(141,1),(144,1),(231,1),(316,1)}
       103:{1,4,5,7}:{(70,1),(77,1),(84,1),(134,1),(141,1),(149,1),(415,1),(416,1)}
       104:{1,2,5,6,7}:{(71,1),(78,1),(85,1),(140,1),(143,1),(219,1),(246,1),(315,1),(320,1),(331,1),(380,1),(381,1),(411,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(141,1),(144,1),(228,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(80,1),(144,1),(145,1)}
       107:{2,3,4,7}:{(73,1),(81,1),(145,1),(146,1),(237,1),(337,1),(379,1)}
       108:{1,3,4,6,7}:{(74,1),(75,1),(88,1),(135,1),(147,1),(149,1),(222,1),(234,1),(308,1),(311,1),(317,1),(377,1)}
       109:{1,3,5,6}:{(74,1),(89,1),(136,1),(147,1),(148,1),(221,1),(316,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(90,1),(137,1),(149,1)}
       111:{1,4,6}:{(76,1),(77,1),(91,1),(138,1),(149,1)}
       112:{1,3,4,5}:{(77,1),(80,1),(92,1),(139,1),(150,1),(151,1),(416,1),(418,1),(426,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(149,1),(152,1),(172,1),(220,1),(225,1),(237,1),(258,1),(315,1),(324,1),(325,1),(378,1),(381,1),(386,1),(409,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(94,1),(144,1),(150,1),(152,1),(153,1),(221,1),(326,1),(387,1),(410,1)}
       115:{2,3,5}:{(80,1),(81,1),(151,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(146,1),(154,1),(155,1),(231,1),(238,1),(326,1),(327,1)}
       117:{1,4,5,6,7}:{(82,1),(86,1),(156,1),(157,1),(225,1),(246,1),(330,1)}
       118:{3,5,6,7}:{(82,1),(87,1),(303,1),(388,1)}
       119:{2,3,5,6,7}:{(83,1),(85,1),(90,1),(140,1),(159,1),(162,1),(230,1),(248,1),(315,1),(411,1),(412,1),(424,1)}
       120:{2,4,6}:{(83,1),(84,1),(141,1),(160,1)}
       121:{3,4,5,7}:{(84,1),(92,1),(160,1),(167,1),(248,1),(425,1),(426,1)}
       122:{2,4,6,7}:{(85,1),(86,1),(93,1),(162,1)}
       123:{1,3,4,6,7}:{(86,1),(87,1),(95,1),(157,1),(162,1),(163,1),(244,1),(253,1),(330,1),(388,1)}
       124:{2,3,5,7}:{(88,1),(89,1),(147,1),(165,1),(248,1),(315,1)}
       125:{2,4,5,6}:{(89,1),(91,1),(148,1),(165,1),(166,1)}
       126:{2,4,7}:{(90,1),(91,1),(149,1),(167,1)}
       127:{3,4,6}:{(91,1),(92,1),(94,1),(167,1)}
       128:{2,3,4,5}:{(92,1),(151,1),(168,1),(169,1),(313,1),(418,1)}
       129:{3,5,7}:{(93,1),(94,1),(162,1),(167,1)}
       130:{2,3,5,6}:{(94,1),(96,1),(168,1),(170,1),(171,1),(387,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(163,1),(170,1),(172,1),(237,1),(258,1),(315,1)}
       132:{1,4,5,6}:{(96,1),(171,1),(172,1),(238,1),(316,1)}
       133:{2,3,5,6}:{(97,1),(102,1),(174,1),(186,1),(260,1),(272,1)}
       134:{2,4,5,7}:{(97,1),(101,1),(103,1),(174,1),(175,1),(178,1),(406,1),(407,1)}
       135:{2,4,6,7}:{(98,1),(99,1),(108,1),(176,1),(178,1),(349,1),(400,1)}
       136:{2,5,6}:{(98,1),(109,1),(176,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(110,1),(176,1),(178,1),(265,1)}
       138:{2,4,6}:{(100,1),(101,1),(111,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,6,7}:{(102,1),(104,1),(110,1),(119,1),(173,1),(182,1),(185,1),(271,1),(276,1),(353,1),(401,1)}
       141:{1,4,6}:{(102,1),(103,1),(120,1),(174,1)}
       142:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(121,1),(175,1),(183,1),(184,1),(192,1),(271,1)}
       143:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(122,1),(182,1),(185,1),(207,1),(264,1),(273,1),(297,1),(359,1),(363,1),(400,1),(419,1)}
       144:{1,3,6}:{(105,1),(106,1),(186,1)}
       145:{2,3,5,7}:{(106,1),(107,1),(115,1),(184,1),(186,1),(187,1)}
       146:{1,3,4,7}:{(107,1),(116,1),(187,1),(188,1),(282,1),(360,1)}
       147:{1,3,5,7}:{(108,1),(109,1),(124,1),(176,1),(190,1),(265,1),(353,1)}
       148:{1,4,5,6}:{(109,1),(111,1),(125,1),(177,1),(190,1)}
       149:{1,4,7}:{(110,1),(111,1),(126,1),(178,1)}
       150:{1,3,4,6}:{(111,1),(112,1),(114,1),(127,1),(179,1),(192,1),(193,1),(402,1),(405,1),(421,1)}
       151:{2,4,5}:{(112,1),(115,1),(193,1),(194,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(129,1),(185,1),(192,1),(195,1),(265,1),(360,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(186,1),(193,1),(195,1),(196,1),(214,1),(272,1),(299,1),(348,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(194,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(188,1),(197,1),(198,1),(277,1),(286,1)}
       156:{2,4,5,6,7}:{(117,1),(122,1),(199,1),(200,1),(201,1),(289,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(123,1),(199,1),(200,1),(271,1)}
       158:{2,4,5,6}:{(120,1),(181,1),(201,1),(202,1),(272,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(126,1),(182,1),(201,1),(203,1),(422,1)}
       160:{3,4,6}:{(120,1),(121,1),(202,1)}
       161:{2,3,4,5,7}:{(121,1),(128,1),(184,1),(204,1),(205,1),(210,1),(292,1),(345,1),(422,1),(423,1)}
       162:{3,6,7}:{(122,1),(129,1)}
       163:{2,4,6,7}:{(123,1),(131,1),(200,1),(206,1),(207,1),(297,1)}
       164:{2,3,5,6,7}:{(124,1),(189,1),(208,1),(291,1),(346,1),(352,1)}
       165:{2,4,5,7}:{(124,1),(125,1),(126,1),(190,1),(208,1),(209,1)}
       166:{3,4,5,6}:{(125,1),(127,1),(202,1),(209,1)}
       167:{3,4,7}:{(126,1),(127,1),(129,1)}
       168:{2,3,4,6}:{(127,1),(128,1),(130,1),(193,1),(210,1),(211,1),(350,1),(405,1)}
       169:{1,3,4,5}:{(128,1),(194,1),(211,1),(212,1),(284,1)}
       170:{2,3,5,7}:{(129,1),(130,1),(131,1),(206,1),(210,1),(213,1),(404,1)}
       171:{1,3,5,6}:{(130,1),(132,1),(211,1),(213,1),(214,1)}
       172:{1,4,5,7}:{(131,1),(132,1),(207,1),(213,1),(282,1),(353,1)}
       173:{2,3,5,6,7}:{(133,1),(137,1),(140,1),(216,1),(219,1),(230,1),(303,1),(308,1),(315,1),(331,1),(388,1),(389,1)}
       174:{2,4,6}:{(133,1),(134,1),(141,1),(217,1)}
       175:{3,4,5,7}:{(134,1),(139,1),(217,1),(222,1),(303,1),(417,1),(418,1)}
       176:{2,5,7}:{(135,1),(136,1),(147,1)}
       177:{2,4,5,6}:{(136,1),(138,1),(148,1),(220,1),(221,1)}
       178:{2,4,7}:{(137,1),(138,1),(149,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(221,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(151,1),(223,1),(224,1),(257,1),(426,1)}
       181:{1,4,5,6}:{(141,1),(158,1),(215,1),(225,1),(226,1),(316,1)}
       182:{1,4,6,7}:{(140,1),(141,1),(149,1),(159,1),(216,1),(225,1),(415,1)}
       183:{1,3,4,6}:{(141,1),(142,1),(144,1),(160,1),(217,1),(226,1),(228,1)}
       184:{2,4,5,7}:{(142,1),(145,1),(151,1),(228,1),(229,1),(237,1),(315,1)}
       185:{1,3,6,7}:{(143,1),(144,1),(152,1),(162,1),(230,1),(308,1),(388,1),(424,1)}
       186:{2,3,6}:{(144,1),(145,1),(228,1),(231,1)}
       187:{1,3,5,7}:{(145,1),(146,1),(154,1),(229,1),(231,1),(232,1)}
       188:{1,2,4,7}:{(146,1),(155,1),(232,1),(233,1)}
       189:{1,3,5,6,7}:{(147,1),(164,1),(219,1),(234,1),(308,1),(377,1),(380,1)}
       190:{1,4,5,7}:{(147,1),(148,1),(149,1),(165,1),(220,1),(234,1)}
       191:{1,3,4,5,6}:{(148,1),(150,1),(166,1),(221,1),(226,1),(235,1),(236,1),(301,1),(310,1),(370,1),(410,1)}
       192:{1,3,4,7}:{(149,1),(150,1),(152,1),(167,1),(222,1),(237,1),(415,1),(417,1),(425,1)}
       193:{2,4,6}:{(150,1),(151,1),(153,1),(237,1),(238,1)}
       194:{1,4,5}:{(151,1),(154,1),(238,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(230,1),(237,1),(240,1),(258,1),(315,1),(337,1),(378,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(231,1),(238,1),(240,1),(241,1),(316,1),(326,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(233,1),(242,1),(326,1)}
       199:{3,5,6,7}:{(156,1),(162,1),(244,1),(248,1)}
       200:{2,5,6,7}:{(157,1),(163,1),(246,1),(315,1)}
       201:{2,4,5,7}:{(158,1),(159,1),(225,1),(248,1),(315,1)}
       202:{3,5,6}:{(158,1),(160,1),(248,1)}
       203:{3,4,6,7}:{(159,1),(160,1),(162,1),(167,1),(248,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(160,1),(161,1),(228,1),(249,1),(251,1),(375,1),(413,1)}
       205:{1,3,4,5,7}:{(161,1),(169,1),(229,1),(251,1),(252,1),(255,1),(319,1),(332,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,6,7}:{(162,1),(163,1),(170,1),(253,1),(388,1)}
       207:{1,4,6,7}:{(163,1),(172,1),(246,1),(253,1)}
       208:{2,4,6,7}:{(164,1),(165,1),(234,1),(254,1)}
       209:{3,4,5,7}:{(165,1),(166,1),(167,1),(248,1),(254,1)}
       210:{2,3,4,7}:{(167,1),(168,1),(170,1),(237,1),(255,1),(379,1),(417,1)}
       211:{1,3,4,6}:{(168,1),(169,1),(171,1),(238,1),(255,1),(256,1),(326,1)}
       212:{2,4,5}:{(169,1),(256,1),(257,1)}
       213:{1,3,5,7}:{(170,1),(171,1),(172,1),(253,1),(255,1),(258,1)}
       214:{2,5,6}:{(171,1),(256,1),(258,1)}
       215:{2,4,5,6}:{(174,1),(181,1),(259,1),(260,1),(272,1)}
       216:{2,4,6,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(261,1),(406,1)}
       217:{3,4,6}:{(174,1),(175,1),(260,1)}
       218:{2,3,4,5,7}:{(175,1),(180,1),(184,1),(262,1),(263,1),(267,1),(296,1),(341,1),(406,1),(407,1)}
       219:{2,5,6,7}:{(176,1),(189,1),(264,1),(400,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(178,1),(190,1),(264,1),(265,1)}
       221:{3,5,6}:{(177,1),(179,1),(265,1)}
       222:{3,4,7}:{(178,1),(179,1),(265,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(193,1),(266,1),(267,1),(268,1),(299,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(194,1),(268,1),(269,1),(284,1)}
       225:{1,4,5,7}:{(181,1),(182,1),(201,1),(259,1),(271,1),(353,1)}
       226:{1,3,5,6}:{(181,1),(183,1),(202,1),(260,1),(271,1),(272,1)}
       227:{1,3,4,6,7}:{(182,1),(183,1),(185,1),(192,1),(203,1),(261,1),(271,1),(273,1)}
       228:{2,4,6}:{(183,1),(184,1),(186,1),(272,1),(274,1)}
       229:{1,4,5,7}:{(184,1),(187,1),(194,1),(274,1),(282,1),(353,1)}
       230:{2,3,6,7}:{(185,1),(186,1),(195,1),(273,1),(276,1),(297,1),(400,1)}
       231:{1,3,6}:{(186,1),(187,1),(274,1),(277,1)}
       232:{1,2,5,7}:{(187,1),(188,1),(197,1),(277,1)}
       233:{1,2,3,7}:{(188,1),(198,1),(360,1)}
       234:{1,4,6,7}:{(189,1),(190,1),(208,1),(264,1)}
       235:{1,3,4,5,7}:{(190,1),(191,1),(192,1),(209,1),(265,1),(271,1),(279,1),(280,1),(338,1),(347,1),(393,1),(420,1)}
       236:{2,4,5,6}:{(191,1),(193,1),(266,1),(272,1),(280,1),(281,1),(348,1)}
       237:{2,4,7}:{(192,1),(193,1),(195,1),(282,1)}
       238:{1,4,6}:{(193,1),(194,1),(196,1),(282,1)}
       239:{1,2,4,5}:{(194,1),(197,1),(212,1),(269,1),(283,1),(284,1),(286,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(276,1),(282,1),(285,1),(353,1),(360,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(214,1),(277,1),(283,1),(285,1),(348,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(284,1),(286,1)}
       243:{3,4,5,6}:{(202,1),(287,1),(288,1),(421,1)}
       244:{3,4,6,7}:{(199,1),(287,1),(289,1)}
       245:{2,3,5,6,7}:{(199,1),(200,1),(206,1),(289,1),(290,1),(292,1)}
       246:{1,5,6,7}:{(200,1),(207,1),(353,1)}
       247:{2,4,5,6,7}:{(201,1),(208,1),(270,1),(291,1),(352,1),(419,1)}
       248:{3,5,7}:{(201,1),(202,1),(203,1)}
       249:{2,3,5,6}:{(202,1),(204,1),(272,1),(288,1),(292,1),(293,1)}
       250:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(273,1),(289,1),(292,1),(294,1),(398,1),(422,1)}
       251:{1,3,4,6}:{(204,1),(205,1),(274,1),(293,1),(295,1),(356,1),(402,1),(405,1)}
       252:{2,4,5,7}:{(205,1),(212,1),(295,1),(296,1),(298,1),(364,1),(406,1),(407,1)}
       253:{1,3,6,7}:{(206,1),(207,1),(213,1),(297,1)}
       254:{3,4,6,7}:{(208,1),(209,1),(291,1)}
       255:{1,3,4,7}:{(210,1),(211,1),(213,1),(282,1),(298,1),(360,1)}
       256:{2,4,6}:{(211,1),(212,1),(214,1),(298,1),(299,1)}
       257:{2,3,5}:{(212,1),(284,1),(299,1),(300,1)}
       258:{2,5,7}:{(213,1),(214,1),(297,1),(298,1)}
       259:{2,4,5,7}:{(215,1),(216,1),(225,1),(303,1),(315,1)}
       260:{3,5,6}:{(215,1),(217,1),(303,1)}
       261:{3,4,6,7}:{(216,1),(217,1),(222,1),(303,1),(308,1),(388,1),(417,1)}
       262:{2,3,4,6}:{(217,1),(218,1),(228,1),(304,1),(306,1),(335,1),(390,1)}
       263:{1,3,4,5,7}:{(218,1),(224,1),(229,1),(306,1),(307,1),(311,1),(319,1),(372,1),(415,1),(416,1),(425,1),(426,1)}
       264:{2,4,6,7}:{(219,1),(220,1),(234,1),(308,1)}
       265:{3,5,7}:{(220,1),(221,1),(222,1),(308,1)}
       266:{2,3,5,6}:{(221,1),(223,1),(236,1),(309,1),(310,1),(410,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(237,1),(309,1),(311,1),(337,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(238,1),(310,1),(311,1),(312,1),(326,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(234,1),(247,1),(302,1),(314,1),(380,1),(408,1)}
       271:{1,3,5,7}:{(225,1),(226,1),(227,1),(248,1),(303,1),(315,1)}
       272:{2,5,6}:{(226,1),(228,1),(315,1),(316,1)}
       273:{2,4,6,7}:{(227,1),(228,1),(230,1),(237,1),(315,1),(317,1)}
       274:{1,4,6}:{(228,1),(229,1),(231,1),(316,1)}
       275:{1,2,4,5,7}:{(229,1),(232,1),(239,1),(252,1),(307,1),(318,1),(319,1),(322,1),(325,1),(381,1),(385,1),(415,1),(416,1)}
       276:{1,3,6,7}:{(230,1),(231,1),(240,1),(317,1),(320,1)}
       277:{1,2,6}:{(231,1),(232,1)}
       278:{1,2,3,5,7}:{(232,1),(233,1),(242,1),(319,1),(321,1),(322,1),(385,1)}
       279:{1,3,4,6,7}:{(234,1),(235,1),(254,1),(308,1),(314,1),(323,1),(368,1),(377,1),(408,1),(424,1)}
       280:{2,4,5,7}:{(235,1),(236,1),(237,1),(309,1),(315,1),(323,1),(324,1),(378,1)}
       281:{1,4,5,6}:{(236,1),(238,1),(310,1),(316,1),(324,1)}
       282:{1,4,7}:{(237,1),(238,1),(240,1)}
       283:{1,2,4,6}:{(238,1),(239,1),(241,1),(256,1),(312,1),(325,1),(326,1)}
       284:{1,3,5}:{(239,1),(257,1),(313,1),(326,1),(327,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(258,1),(320,1),(325,1),(378,1)}
       286:{1,2,4}:{(242,1),(327,1)}
       287:{3,4,5,7}:{(243,1),(244,1),(248,1),(328,1),(425,1)}
       288:{2,4,5,6}:{(243,1),(249,1),(328,1),(329,1),(413,1)}
       289:{2,4,6,7}:{(244,1),(245,1),(328,1),(330,1)}
       290:{1,3,5,6,7}:{(245,1),(246,1),(253,1),(330,1),(331,1),(332,1),(388,1)}
       291:{3,5,6,7}:{(247,1),(248,1),(254,1),(424,1)}
       292:{2,3,5,7}:{(248,1),(249,1),(250,1),(315,1),(328,1),(332,1)}
       293:{1,3,5,6}:{(249,1),(251,1),(316,1),(329,1),(332,1),(333,1),(387,1)}
       294:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(317,1),(330,1),(332,1),(334,1),(383,1),(388,1),(415,1),(417,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(335,1)}
       296:{2,3,5,7}:{(252,1),(257,1),(319,1),(335,1),(336,1),(337,1),(391,1)}
       297:{2,6,7}:{(253,1),(258,1)}
       298:{2,4,7}:{(255,1),(256,1),(258,1),(337,1)}
       299:{2,3,6}:{(256,1),(257,1),(326,1),(337,1)}
       300:{2,3,4}:{(257,1),(327,1)}
       301:{3,4,5,6}:{(260,1),(338,1),(339,1),(405,1)}
       302:{2,4,5,6,7}:{(259,1),(264,1),(270,1),(340,1),(352,1),(392,1)}
       303:{3,5,7}:{(259,1),(260,1),(261,1)}
       304:{2,3,5,6}:{(260,1),(262,1),(272,1),(339,1),(341,1),(342,1)}
       305:{2,3,4,6,7}:{(261,1),(262,1),(267,1),(273,1),(341,1),(343,1),(346,1),(366,1),(392,1),(406,1)}
       306:{1,3,4,6}:{(262,1),(263,1),(274,1),(342,1),(344,1),(356,1),(402,1),(421,1)}
       307:{2,4,5,7}:{(263,1),(269,1),(344,1),(345,1),(349,1),(396,1),(422,1),(423,1)}
       308:{3,6,7}:{(264,1),(265,1)}
       309:{2,3,5,7}:{(265,1),(266,1),(267,1),(280,1),(346,1),(347,1),(420,1)}
       310:{1,3,5,6}:{(266,1),(268,1),(281,1),(347,1),(348,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(282,1),(347,1),(349,1),(360,1)}
       312:{2,4,6}:{(268,1),(269,1),(348,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(284,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(279,1),(291,1),(340,1),(352,1)}
       315:{2,5,7}:{(271,1),(272,1),(273,1),(353,1)}
       316:{1,5,6}:{(272,1),(274,1),(353,1)}
       317:{1,4,6,7}:{(273,1),(274,1),(276,1),(282,1),(353,1)}
       318:{1,2,4,6}:{(274,1),(275,1),(277,1),(295,1),(344,1),(354,1),(356,1),(402,1)}
       319:{1,3,5,7}:{(275,1),(284,1),(296,1),(345,1),(356,1),(357,1),(360,1),(403,1)}
       320:{1,2,6,7}:{(276,1),(277,1),(285,1),(297,1),(400,1)}
       321:{1,2,3,6}:{(277,1),(278,1),(356,1),(358,1)}
       322:{1,2,4,7}:{(278,1),(286,1),(357,1),(358,1)}
       323:{2,4,6,7}:{(279,1),(280,1),(346,1),(352,1),(359,1),(400,1)}
       324:{1,4,5,7}:{(280,1),(281,1),(282,1),(347,1),(353,1),(359,1)}
       325:{1,2,4,7}:{(282,1),(283,1),(285,1),(298,1),(349,1),(360,1)}
       326:{1,3,6}:{(283,1),(284,1),(299,1),(350,1),(360,1)}
       327:{1,3,4}:{(284,1),(286,1),(300,1),(351,1)}
       328:{2,4,5,7}:{(287,1),(288,1),(289,1),(292,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(288,1),(293,1),(361,1),(362,1),(402,1)}
       330:{1,4,6,7}:{(289,1),(290,1),(361,1),(363,1)}
       331:{2,5,6,7}:{(290,1),(297,1),(363,1),(364,1)}
       332:{1,3,5,7}:{(292,1),(293,1),(294,1),(353,1),(361,1),(364,1),(404,1)}
       333:{2,5,6}:{(293,1),(295,1),(364,1)}
       334:{2,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(364,1),(366,1),(406,1)}
       335:{2,3,6}:{(295,1),(296,1),(356,1)}
       336:{2,3,4,7}:{(296,1),(300,1),(357,1),(367,1),(406,1)}
       337:{2,3,7}:{(298,1),(299,1),(360,1)}
       338:{3,4,5,7}:{(301,1),(303,1),(368,1),(369,1),(417,1)}
       339:{2,4,5,6}:{(301,1),(304,1),(369,1),(370,1),(390,1)}
       340:{3,5,6,7}:{(302,1),(303,1),(308,1),(368,1)}
       341:{2,3,5,7}:{(303,1),(304,1),(305,1),(315,1),(369,1),(372,1)}
       342:{1,3,5,6}:{(304,1),(306,1),(316,1),(370,1),(372,1),(373,1),(410,1)}
       343:{1,3,4,6,7}:{(305,1),(306,1),(311,1),(317,1),(372,1),(374,1),(377,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       344:{2,4,6}:{(306,1),(307,1),(373,1),(375,1)}
       345:{2,3,5,7}:{(307,1),(313,1),(319,1),(375,1),(376,1),(379,1),(414,1)}
       346:{2,3,6,7}:{(308,1),(309,1),(323,1),(377,1),(424,1)}
       347:{1,3,5,7}:{(309,1),(310,1),(311,1),(324,1),(377,1),(378,1)}
       348:{2,5,6}:{(310,1),(312,1),(378,1)}
       349:{2,4,7}:{(311,1),(312,1),(378,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(326,1),(379,1)}
       351:{2,3,4}:{(313,1),(327,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(323,1),(380,1)}
       353:{1,5,7}:{(315,1),(316,1),(317,1)}
       354:{1,2,5,6}:{(316,1),(318,1),(333,1),(373,1),(381,1),(382,1),(385,1)}
       355:{1,2,4,6,7}:{(317,1),(318,1),(320,1),(325,1),(334,1),(374,1),(381,1),(383,1),(415,1)}
       356:{1,3,6}:{(318,1),(319,1),(335,1),(375,1)}
       357:{1,3,4,7}:{(319,1),(322,1),(327,1),(336,1),(376,1),(384,1),(415,1)}
       358:{1,2,4,6}:{(321,1),(322,1),(384,1),(385,1)}
       359:{1,4,6,7}:{(323,1),(324,1),(377,1),(380,1)}
       360:{1,3,7}:{(325,1),(326,1),(337,1),(379,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(332,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(333,1),(386,1),(387,1),(390,1)}
       363:{2,4,6,7}:{(330,1),(331,1),(386,1),(388,1)}
       364:{2,5,7}:{(332,1),(333,1),(334,1)}
       365:{2,3,5,6}:{(333,1),(335,1),(382,1),(387,1),(389,1),(390,1),(391,1)}
       366:{2,3,6,7}:{(334,1),(335,1),(337,1),(383,1),(388,1),(389,1)}
       367:{2,3,4,6}:{(335,1),(336,1),(384,1),(390,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(340,1),(392,1)}
       369:{2,4,5,7}:{(338,1),(339,1),(341,1),(392,1),(393,1),(406,1)}
       370:{1,4,5,6}:{(339,1),(342,1),(393,1),(394,1),(402,1)}
       371:{2,3,5,6,7}:{(340,1),(341,1),(346,1),(352,1),(392,1),(395,1)}
       372:{1,3,5,7}:{(341,1),(342,1),(343,1),(353,1),(393,1),(396,1),(420,1)}
       373:{2,5,6}:{(342,1),(344,1),(396,1)}
       374:{2,4,6,7}:{(343,1),(344,1),(349,1),(396,1),(398,1),(400,1),(422,1)}
       375:{2,3,6}:{(344,1),(345,1),(356,1)}
       376:{2,3,4,7}:{(345,1),(351,1),(357,1),(399,1),(422,1)}
       377:{1,3,6,7}:{(346,1),(347,1),(359,1),(400,1)}
       378:{2,5,7}:{(347,1),(348,1),(349,1),(400,1)}
       379:{2,3,7}:{(349,1),(350,1),(360,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(359,1)}
       381:{1,2,5,7}:{(353,1),(354,1),(355,1),(364,1),(396,1),(401,1)}
       382:{1,3,5,6}:{(354,1),(356,1),(365,1),(397,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(355,1),(356,1),(360,1),(366,1),(398,1),(401,1)}
       384:{1,3,4,6}:{(356,1),(357,1),(358,1),(367,1),(399,1),(402,1),(403,1)}
       385:{1,2,5}:{(358,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(364,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{3,6,7}:{(363,1),(404,1)}
       389:{2,3,5,7}:{(364,1),(365,1),(366,1),(401,1),(404,1),(406,1)}
       390:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       391:{2,3,5}:{(367,1),(403,1),(407,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(371,1),(408,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(408,1),(409,1),(415,1)}
       394:{2,4,5,6}:{(370,1),(373,1),(409,1),(410,1),(413,1)}
       395:{1,3,5,6,7}:{(371,1),(372,1),(377,1),(380,1),(408,1),(411,1),(424,1)}
       396:{2,5,7}:{(372,1),(373,1),(374,1)}
       397:{2,3,5,6}:{(373,1),(375,1),(382,1),(410,1),(412,1),(413,1),(414,1)}
       398:{2,3,6,7}:{(374,1),(375,1),(379,1),(383,1),(412,1),(424,1)}
       399:{2,3,4,6}:{(375,1),(376,1),(384,1),(413,1),(414,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(389,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(390,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(391,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(388,1),(417,1)}
       405:{3,4,6}:{(387,1),(390,1),(417,1),(418,1)}
       406:{2,4,7}:{(389,1),(390,1),(415,1),(417,1)}
       407:{2,4,5}:{(390,1),(391,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,4,5,7}:{(393,1),(394,1),(396,1),(419,1),(420,1),(422,1)}
       410:{3,5,6}:{(394,1),(420,1),(421,1)}
       411:{2,5,6,7}:{(395,1),(396,1),(400,1),(419,1)}
       412:{2,3,5,7}:{(396,1),(397,1),(398,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(397,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(399,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(411,1),(424,1)}
       420:{3,5,7}:{(409,1),(410,1),(424,1),(425,1)}
       421:{3,4,6}:{(410,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2025 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(160,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(91,1),(98,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(132,1)}
        12:{1,2,3,7}:{(4,1),(26,1),(71,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(68,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(109,1),(149,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(147,1),(169,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(79,1),(80,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(116,1),(121,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(91,1),(92,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(45,1)}
        27:{1,2,5}:{(13,1),(44,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(46,1),(48,1),(49,1),(88,1),(91,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(91,1),(136,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(132,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,4,7}:{(18,1),(43,1),(55,1),(60,1),(104,1)}
        34:{2,3,5}:{(18,1),(44,1),(54,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(109,1),(110,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,4,7}:{(25,1),(26,1),(33,1),(61,1),(66,1),(71,1),(116,1)}
        44:{1,3,5}:{(25,1),(27,1),(34,1),(62,1),(65,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,5,6}:{(27,1),(29,1),(35,1),(67,1),(68,1),(69,1),(112,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(69,1),(71,1),(113,1),(116,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(79,1),(125,1),(155,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(169,1)}
        54:{2,4,5}:{(34,1),(65,1),(72,1),(79,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(66,1),(78,1),(80,1)}
        56:{2,3,5,6}:{(34,1),(35,1),(39,1),(67,1),(73,1),(79,1),(80,1),(81,1),(125,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(79,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(86,1),(89,1),(132,1)}
        62:{2,3,5}:{(41,1),(44,1),(85,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(44,1),(54,1),(85,1),(91,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(45,1),(55,1),(86,1),(90,1),(92,1)}
        67:{1,3,5,6}:{(44,1),(46,1),(48,1),(56,1),(87,1),(91,1),(92,1),(93,1),(136,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(49,1),(57,1),(93,1),(94,1),(134,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(91,1),(95,1),(96,1),(129,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(98,1)}
        73:{3,5,6}:{(50,1),(98,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(104,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,5,7}:{(54,1),(55,1),(90,1),(97,1),(103,1),(104,1),(144,1)}
        79:{2,4,6}:{(54,1),(56,1),(91,1),(98,1),(104,1)}
        80:{2,3,6}:{(55,1),(92,1),(103,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(60,1),(93,1),(99,1),(104,1),(105,1),(144,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(104,1),(106,1)}
        85:{2,4,5}:{(62,1),(65,1),(107,1),(109,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,6}:{(62,1),(64,1),(67,1),(109,1),(110,1),(111,1),(112,1),(145,1),(149,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,5,7}:{(65,1),(66,1),(78,1),(108,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(65,1),(67,1),(79,1),(109,1),(116,1)}
        92:{1,3,6}:{(66,1),(68,1),(80,1),(110,1),(115,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(81,1),(111,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(116,1),(118,1),(147,1)}
        97:{3,4,5,7}:{(72,1),(78,1),(120,1),(121,1),(156,1)}
        98:{3,4,6}:{(72,1),(73,1),(79,1),(121,1)}
        99:{3,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(79,1),(83,1),(114,1),(119,1),(124,1),(125,1)}
       103:{2,4,6}:{(78,1),(80,1),(115,1),(120,1),(125,1)}
       104:{2,4,7}:{(79,1),(81,1),(116,1),(121,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(126,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(131,1),(132,1),(163,1)}
       109:{2,4,6}:{(85,1),(87,1),(91,1),(129,1),(132,1)}
       110:{2,3,6}:{(86,1),(92,1),(131,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(93,1),(132,1),(133,1),(134,1),(159,1),(163,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(91,1),(95,1),(102,1),(130,1),(135,1),(136,1)}
       115:{1,4,6}:{(90,1),(92,1),(103,1),(131,1),(136,1)}
       116:{1,4,7}:{(91,1),(93,1),(104,1),(132,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(137,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(98,1),(102,1),(139,1),(140,1)}
       120:{3,4,6}:{(97,1),(103,1),(140,1)}
       121:{3,4,7}:{(98,1),(99,1),(104,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(104,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,5,6}:{(103,1),(136,1),(140,1),(144,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(105,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(146,1),(147,1),(169,1)}
       129:{3,4,6}:{(107,1),(109,1),(145,1),(147,1)}
       130:{2,4,5,6}:{(109,1),(112,1),(114,1),(145,1),(148,1),(149,1),(168,1)}
       131:{2,4,6}:{(108,1),(110,1),(115,1),(146,1),(149,1)}
       132:{2,4,7}:{(109,1),(111,1),(116,1),(147,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(150,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(116,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,5,6}:{(115,1),(125,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(121,1),(124,1),(154,1),(156,1)}
       140:{3,5,6}:{(120,1),(125,1),(155,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(122,1),(126,1),(156,1),(157,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(156,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(156,1)}
       145:{3,5,6}:{(129,1),(130,1),(159,1)}
       146:{3,4,6}:{(128,1),(131,1),(160,1)}
       147:{3,4,7}:{(129,1),(132,1),(159,1)}
       148:{2,4,5,7}:{(130,1),(132,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,5,6}:{(131,1),(136,1),(160,1),(163,1)}
       150:{2,4,6,7}:{(131,1),(132,1),(133,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{4,5,6}:{(140,1),(166,1)}
       156:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(147,1),(148,1),(167,1)}
       160:{3,5,6}:{(146,1),(149,1),(168,1),(169,1)}
       161:{3,4,6,7}:{(146,1),(147,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{4,5,6}:{(160,1),(173,1)}
       169:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(169,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2026 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2027 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2028 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

2029 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(93,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(45,1),(50,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(71,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(112,1),(139,1),(145,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(7,1),(12,1),(27,1),(36,1),(66,1),(76,1),(107,1),(110,1),(112,1),(116,1),(117,1),(139,1),(145,1),(149,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(93,1),(94,1),(132,1)}
         7:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(92,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(91,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(18,1),(19,1),(45,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(155,1)}
        12:{1,3,5,6}:{(5,1),(14,1),(21,1),(22,1),(95,1),(125,1),(132,1),(136,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(12,1),(25,1),(26,1),(113,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(10,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{2,4,5,6}:{(10,1),(27,1),(32,1),(66,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(32,1)}
        20:{2,3,4,6,7}:{(11,1),(29,1),(33,1),(34,1),(61,1),(69,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        21:{1,3,4,6}:{(12,1),(25,1),(35,1),(36,1),(149,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(26,1),(36,1),(37,1),(66,1),(74,1),(104,1),(117,1),(118,1),(145,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(133,1)}
        25:{1,3,4,7}:{(14,1),(21,1),(42,1),(131,1),(133,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(22,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(18,1),(38,1),(44,1),(88,1),(91,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(19,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{3,4,5,7}:{(19,1),(48,1),(49,1),(155,1),(171,1)}
        32:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(45,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(46,1),(51,1),(52,1),(84,1),(90,1),(91,1),(125,1),(131,1),(132,1),(133,1),(161,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(54,1),(95,1),(138,1),(162,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(42,1),(54,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(43,1),(55,1),(56,1),(88,1),(95,1),(98,1),(125,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(73,1),(99,1),(104,1),(115,1),(150,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(35,1),(57,1),(62,1),(63,1),(70,1),(100,1),(105,1),(113,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(36,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(37,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(32,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(69,1),(70,1),(142,1),(166,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(66,1),(69,1),(71,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(67,1),(70,1),(71,1),(72,1),(113,1),(170,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(106,1),(112,1),(115,1),(145,1),(169,1)}
        53:{2,3,4,6}:{(36,1),(61,1),(74,1),(75,1),(104,1),(118,1),(150,1),(153,1),(165,1),(169,1)}
        54:{2,4,5}:{(35,1),(36,1),(74,1),(76,1),(117,1),(153,1)}
        55:{1,4,6}:{(36,1),(37,1),(64,1),(76,1)}
        56:{1,2,5,6}:{(37,1),(65,1),(77,1),(117,1),(145,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(133,1),(163,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(53,1),(83,1),(84,1),(127,1),(133,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(48,1),(78,1),(85,1),(91,1),(120,1),(125,1),(132,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(54,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(55,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(56,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(52,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,4,5,7}:{(49,1),(51,1),(91,1),(92,1),(131,1),(162,1)}
        71:{1,3,5,6}:{(50,1),(51,1),(88,1),(91,1),(93,1),(125,1),(132,1)}
        72:{2,5,7}:{(51,1),(52,1),(93,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(94,1),(127,1),(132,1),(159,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,3,4,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(98,1),(125,1),(136,1),(138,1),(164,1),(172,1)}
        76:{1,4,5}:{(54,1),(55,1),(95,1),(164,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(87,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(115,1),(151,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(74,1),(104,1),(105,1),(113,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(75,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(76,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(77,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(72,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(73,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,4,5,7}:{(70,1),(72,1),(112,1),(113,1),(115,1),(151,1)}
        93:{2,5,6}:{(71,1),(72,1),(112,1),(145,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(111,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(117,1),(174,1)}
        96:{2,4,6}:{(75,1),(106,1),(117,1),(118,1),(145,1),(153,1)}
        97:{1,2,4,5}:{(76,1),(77,1),(117,1),(119,1),(153,1)}
        98:{1,3,6}:{(77,1),(109,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(132,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(95,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(96,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(92,1),(97,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(98,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(93,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(94,1),(123,1),(130,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{3,5,7}:{(92,1),(132,1),(133,1),(163,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(130,1),(132,1),(134,1),(159,1),(163,1),(173,1)}
       115:{2,4,7}:{(94,1),(131,1),(133,1),(134,1)}
       116:{1,2,4,6}:{(96,1),(124,1),(135,1),(136,1),(157,1),(164,1),(172,1)}
       117:{2,5}:{(95,1),(96,1)}
       118:{2,3,6}:{(96,1),(98,1),(127,1),(136,1),(137,1)}
       119:{1,3,5}:{(97,1),(98,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(116,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(117,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(118,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(112,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(113,1),(119,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(114,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(115,1),(142,1),(149,1)}
       132:{3,6}:{(112,1),(113,1)}
       133:{3,4,7}:{(113,1),(115,1),(150,1)}
       134:{2,4,6}:{(114,1),(115,1),(149,1),(150,1),(151,1)}
       135:{1,2,5}:{(116,1),(117,1),(152,1),(174,1)}
       136:{1,3,6}:{(116,1),(118,1),(144,1),(152,1)}
       137:{2,3,5}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       138:{1,3,4}:{(119,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(135,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(136,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(132,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(133,1),(138,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(134,1),(156,1),(162,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(134,1),(162,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(137,1),(164,1)}
       153:{2,4}:{(137,1),(138,1),(164,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(152,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(153,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(150,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(151,1),(166,1),(170,1),(174,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(164,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(163,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2030 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2031 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(50,1),(51,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(24,1),(34,1),(56,1),(109,1),(118,1),(120,1),(160,1),(166,1),(176,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(23,1),(32,1),(33,1),(73,1),(74,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(42,1),(52,1),(86,1),(89,1),(91,1),(140,1),(146,1),(147,1),(190,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(184,1),(189,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(50,1),(152,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(41,1),(50,1),(99,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(42,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(43,1)}
        10:{2,3,4,6,7}:{(20,1),(21,1),(25,1),(55,1),(66,1),(105,1),(117,1),(158,1),(161,1),(163,1),(166,1),(241,1)}
        11:{2,3,5,6}:{(5,1),(23,1),(24,1),(30,1),(70,1),(118,1)}
        12:{2,4,6,7}:{(4,1),(25,1),(26,1),(64,1),(66,1),(166,1),(172,1),(173,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(67,1),(73,1),(165,1),(209,1)}
        14:{2,4,5,7}:{(5,1),(24,1),(27,1),(28,1),(109,1),(159,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(29,1),(30,1),(70,1),(159,1),(175,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(73,1),(125,1)}
        17:{3,5,7}:{(6,1),(9,1),(30,1),(176,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(31,1),(33,1),(64,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(65,1),(71,1),(74,1),(125,1),(176,1)}
        20:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(39,1),(79,1),(86,1),(134,1),(136,1),(140,1),(183,1),(186,1),(187,1),(190,1)}
        21:{2,3,5,7}:{(10,1),(35,1),(37,1),(38,1),(128,1),(144,1),(178,1),(189,1)}
        22:{1,2,4,6,7}:{(12,1),(36,1),(39,1),(40,1),(52,1),(85,1),(86,1),(99,1),(152,1),(183,1),(190,1),(191,1),(192,1),(220,1),(236,1)}
        23:{1,3,5,6}:{(11,1),(13,1),(41,1),(42,1),(89,1),(96,1),(146,1)}
        24:{2,4,6}:{(11,1),(14,1),(42,1),(43,1)}
        25:{2,3,6,7}:{(12,1),(39,1),(44,1),(89,1),(141,1),(195,1),(220,1)}
        26:{2,5,7}:{(12,1),(13,1),(41,1),(189,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(86,1),(139,1)}
        28:{3,4,5,7}:{(14,1),(17,1),(43,1),(136,1),(184,1)}
        29:{1,4,5,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(96,1),(139,1),(150,1)}
        30:{3,5,6}:{(15,1),(17,1),(43,1),(184,1),(197,1)}
        31:{2,4,5,7}:{(16,1),(18,1),(47,1),(49,1),(50,1),(97,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        33:{3,6,7}:{(18,1),(49,1),(89,1)}
        34:{2,4,6,7}:{(19,1),(50,1),(51,1),(52,1),(90,1),(97,1),(99,1),(152,1)}
        35:{2,3,5,6}:{(21,1),(54,1),(55,1),(102,1),(156,1),(161,1)}
        36:{2,4,6,7}:{(20,1),(56,1),(57,1),(107,1),(109,1),(166,1),(207,1),(208,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(54,1),(57,1),(58,1),(110,1),(165,1),(200,1),(209,1)}
        38:{2,4,5,7}:{(21,1),(55,1),(58,1),(59,1),(66,1),(116,1)}
        39:{1,3,6,7}:{(22,1),(25,1),(56,1),(61,1),(113,1),(167,1),(176,1),(211,1),(241,1)}
        40:{1,2,5,7}:{(22,1),(26,1),(57,1),(60,1),(61,1),(73,1),(126,1),(200,1),(209,1),(229,1)}
        41:{2,5,6}:{(23,1),(26,1),(64,1),(172,1)}
        42:{1,4,6}:{(23,1),(24,1),(27,1),(64,1)}
        43:{3,4,6}:{(24,1),(28,1),(30,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(63,1),(66,1),(67,1),(229,1),(241,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(64,1),(66,1),(67,1),(116,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(65,1),(67,1),(68,1),(71,1),(114,1),(121,1),(122,1),(125,1),(165,1),(174,1),(176,1),(214,1)}
        47:{2,4,5,6}:{(29,1),(31,1),(64,1),(69,1),(70,1),(116,1),(123,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(32,1),(65,1),(69,1),(70,1),(165,1)}
        49:{3,5,7}:{(31,1),(33,1),(69,1),(71,1)}
        50:{2,5,7}:{(32,1),(34,1),(70,1),(73,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(72,1),(74,1),(118,1),(176,1)}
        52:{1,4,6,7}:{(34,1),(73,1),(74,1),(119,1),(125,1)}
        53:{2,3,5,6,7}:{(35,1),(76,1),(77,1),(128,1),(178,1),(182,1)}
        54:{1,3,5,6}:{(35,1),(37,1),(78,1),(79,1),(134,1),(181,1),(186,1)}
        55:{2,4,6}:{(35,1),(38,1),(79,1),(80,1)}
        56:{2,3,6,7}:{(36,1),(39,1),(81,1),(99,1),(134,1),(141,1),(223,1)}
        57:{2,5,7}:{(36,1),(37,1),(78,1),(189,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(79,1),(82,1),(86,1),(139,1)}
        59:{3,4,5,7}:{(38,1),(80,1),(91,1),(128,1),(144,1)}
        60:{1,2,5,6}:{(40,1),(41,1),(78,1),(84,1),(85,1),(96,1),(151,1),(181,1),(189,1),(191,1),(219,1),(224,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(81,1),(84,1),(86,1)}
        62:{1,2,4,5,7}:{(40,1),(45,1),(82,1),(85,1),(86,1),(87,1),(93,1),(138,1),(139,1),(142,1),(148,1),(152,1),(188,1),(189,1),(192,1),(196,1),(224,1),(236,1),(237,1),(240,1)}
        63:{2,3,5,6}:{(41,1),(44,1),(84,1),(88,1),(89,1),(141,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(41,1),(42,1),(45,1),(89,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(46,1),(48,1),(89,1),(90,1),(94,1),(146,1),(150,1),(197,1)}
        66:{2,4,7}:{(44,1),(86,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(89,1),(91,1),(144,1)}
        68:{2,4,5,7}:{(46,1),(50,1),(90,1),(92,1),(93,1),(97,1),(142,1),(148,1),(149,1),(152,1),(189,1),(196,1)}
        69:{3,5,6}:{(47,1),(49,1),(89,1),(94,1),(144,1)}
        70:{2,5,6}:{(48,1),(50,1),(90,1),(96,1),(189,1)}
        71:{3,4,7}:{(49,1),(94,1),(97,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(51,1),(95,1),(97,1),(98,1)}
        73:{1,5,7}:{(50,1),(52,1),(96,1)}
        74:{1,3,6,7}:{(51,1),(52,1),(98,1),(99,1),(146,1)}
        75:{2,4,5,6}:{(55,1),(100,1),(101,1),(102,1),(116,1),(156,1),(231,1)}
        76:{1,3,5,6,7}:{(53,1),(54,1),(103,1),(104,1),(154,1),(157,1),(200,1),(204,1)}
        77:{2,4,6,7}:{(53,1),(55,1),(100,1),(104,1),(105,1)}
        78:{2,5,6}:{(54,1),(57,1),(107,1),(207,1)}
        79:{1,4,6}:{(54,1),(55,1),(58,1),(107,1)}
        80:{3,4,6}:{(55,1),(59,1),(102,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(109,1),(110,1),(126,1),(176,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(107,1),(109,1),(110,1),(159,1)}
        83:{1,3,4,5,7}:{(58,1),(59,1),(108,1),(110,1),(111,1),(114,1),(154,1),(164,1),(165,1),(198,1),(201,1),(228,1),(230,1),(241,1),(242,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(63,1),(106,1),(112,1),(113,1),(165,1),(167,1),(209,1),(234,1)}
        85:{1,2,4,6}:{(60,1),(62,1),(64,1),(107,1),(112,1),(113,1),(119,1),(162,1),(166,1),(172,1),(175,1),(207,1),(231,1)}
        86:{1,4,7}:{(61,1),(66,1),(109,1),(112,1)}
        87:{1,3,5,7}:{(62,1),(67,1),(110,1),(113,1),(114,1),(115,1),(165,1),(176,1),(211,1),(214,1),(234,1),(241,1),(242,1)}
        88:{2,4,6}:{(63,1),(66,1),(112,1),(116,1),(117,1),(243,1)}
        89:{3,6}:{(64,1),(67,1)}
        90:{2,4,6}:{(65,1),(68,1),(70,1),(118,1),(119,1),(172,1)}
        91:{3,4,7}:{(66,1),(67,1),(117,1),(241,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(118,1),(120,1),(121,1),(170,1),(176,1),(214,1)}
        93:{1,4,5,7}:{(68,1),(73,1),(119,1),(121,1),(125,1),(168,1),(174,1),(209,1)}
        94:{3,4,6}:{(69,1),(71,1),(122,1),(123,1)}
        95:{2,3,5,6}:{(69,1),(70,1),(72,1),(118,1),(123,1),(124,1),(170,1)}
        96:{1,5,6}:{(70,1),(73,1),(119,1),(209,1)}
        97:{2,4,7}:{(71,1),(72,1),(123,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(124,1),(125,1),(126,1),(176,1)}
        99:{2,6,7}:{(74,1),(126,1),(172,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(127,1),(128,1),(178,1),(236,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(127,1),(129,1),(130,1),(139,1),(181,1),(218,1)}
       102:{3,5,6}:{(75,1),(80,1),(128,1),(144,1),(238,1)}
       103:{2,5,6,7}:{(76,1),(78,1),(131,1),(178,1),(220,1)}
       104:{1,4,6,7}:{(76,1),(77,1),(79,1),(127,1),(131,1)}
       105:{3,4,6,7}:{(77,1),(80,1),(128,1)}
       106:{2,3,5,6}:{(78,1),(81,1),(84,1),(133,1),(134,1),(141,1),(151,1),(184,1),(189,1),(197,1),(226,1)}
       107:{2,4,6}:{(78,1),(79,1),(82,1),(134,1)}
       108:{1,3,4,6}:{(79,1),(80,1),(83,1),(130,1),(134,1),(135,1),(179,1),(186,1),(218,1),(238,1)}
       109:{2,4,7}:{(81,1),(86,1),(133,1),(136,1)}
       110:{3,5,7}:{(82,1),(134,1),(136,1),(184,1)}
       111:{2,4,5,7}:{(83,1),(135,1),(137,1),(138,1),(142,1),(178,1),(188,1),(189,1),(215,1),(217,1),(236,1),(237,1)}
       112:{1,4,6}:{(84,1),(86,1),(88,1),(133,1),(139,1),(240,1)}
       113:{1,3,6}:{(85,1),(87,1),(89,1),(134,1),(141,1),(197,1),(238,1)}
       114:{1,3,4,7}:{(86,1),(87,1),(91,1),(136,1),(140,1),(142,1),(227,1),(240,1),(244,1)}
       115:{2,3,5,7}:{(87,1),(141,1),(142,1),(143,1),(148,1),(188,1),(189,1),(195,1),(223,1),(226,1),(239,1)}
       116:{2,4,5}:{(88,1),(139,1),(144,1),(189,1)}
       117:{3,4,6}:{(88,1),(89,1),(91,1),(144,1),(238,1),(244,1)}
       118:{2,3,6}:{(89,1),(90,1),(92,1),(146,1),(197,1)}
       119:{1,4,6}:{(90,1),(93,1),(96,1),(146,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(97,1),(142,1),(145,1),(147,1),(223,1),(227,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(146,1),(147,1),(148,1),(193,1)}
       122:{3,4,5}:{(94,1),(144,1),(149,1),(244,1)}
       123:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(150,1)}
       124:{1,3,5,6}:{(95,1),(96,1),(98,1),(146,1),(150,1),(151,1),(193,1),(197,1)}
       125:{1,4,7}:{(97,1),(98,1),(150,1),(152,1)}
       126:{2,5,7}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,4,5,7}:{(100,1),(101,1),(104,1),(153,1),(154,1),(200,1),(228,1)}
       128:{3,5,7}:{(100,1),(102,1),(105,1),(241,1)}
       129:{2,4,5,6}:{(101,1),(107,1),(153,1),(155,1),(156,1),(159,1),(202,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(108,1),(154,1),(155,1),(156,1),(165,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(107,1),(153,1),(157,1)}
       132:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(154,1),(157,1),(158,1),(198,1),(204,1),(228,1),(241,1)}
       133:{2,4,6}:{(106,1),(109,1),(112,1),(159,1),(160,1),(235,1)}
       134:{3,6}:{(107,1),(110,1)}
       135:{2,4,6}:{(108,1),(111,1),(156,1),(161,1),(162,1),(207,1)}
       136:{3,4,7}:{(109,1),(110,1),(160,1),(176,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(161,1),(163,1),(164,1),(205,1),(241,1),(242,1)}
       138:{1,4,5,7}:{(111,1),(162,1),(164,1),(168,1),(200,1),(209,1),(228,1),(230,1)}
       139:{1,4,5}:{(112,1),(116,1),(159,1),(165,1),(209,1)}
       140:{1,3,4,6}:{(112,1),(113,1),(114,1),(117,1),(160,1),(165,1),(166,1)}
       141:{2,3,6}:{(113,1),(115,1),(166,1),(167,1),(172,1),(207,1)}
       142:{2,4,7}:{(114,1),(115,1),(166,1),(168,1),(235,1),(243,1)}
       143:{1,3,5,7}:{(115,1),(167,1),(168,1),(169,1),(209,1),(211,1),(234,1)}
       144:{3,5}:{(116,1),(117,1)}
       145:{2,3,4,6}:{(117,1),(118,1),(120,1),(123,1),(166,1),(170,1),(171,1),(233,1),(243,1)}
       146:{1,3,6}:{(118,1),(119,1),(121,1),(172,1)}
       147:{1,3,4,7}:{(120,1),(121,1),(125,1),(168,1),(171,1),(173,1),(176,1),(211,1)}
       148:{2,5,7}:{(121,1),(172,1),(173,1),(212,1)}
       149:{2,4,5}:{(122,1),(123,1),(170,1),(174,1),(243,1)}
       150:{1,4,6}:{(123,1),(124,1),(125,1),(174,1),(175,1)}
       151:{2,5,6}:{(124,1),(126,1),(172,1),(175,1),(212,1)}
       152:{2,4,7}:{(125,1),(126,1),(175,1),(176,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(131,1),(177,1),(178,1),(215,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(130,1),(132,1),(177,1),(178,1)}
       155:{3,5,6}:{(129,1),(134,1),(177,1),(179,1),(184,1)}
       156:{2,5,6}:{(130,1),(135,1),(178,1),(181,1),(189,1)}
       157:{3,6,7}:{(131,1),(134,1),(177,1)}
       158:{2,4,6,7}:{(132,1),(135,1),(178,1),(182,1),(183,1),(215,1),(220,1),(236,1)}
       159:{2,4,5}:{(133,1),(139,1),(184,1),(189,1)}
       160:{3,4,6}:{(133,1),(134,1),(136,1),(184,1),(197,1),(227,1)}
       161:{2,3,6}:{(134,1),(135,1),(137,1),(186,1),(238,1)}
       162:{1,4,6}:{(135,1),(138,1),(181,1),(186,1)}
       163:{2,3,4,7}:{(136,1),(137,1),(142,1),(185,1),(187,1),(195,1),(215,1),(244,1)}
       164:{1,3,5,7}:{(137,1),(138,1),(186,1),(187,1),(188,1),(221,1)}
       165:{1,3,5}:{(139,1),(140,1),(144,1),(184,1),(189,1)}
       166:{2,4,6}:{(140,1),(141,1),(142,1),(189,1),(190,1)}
       167:{1,3,6}:{(141,1),(143,1),(190,1),(191,1)}
       168:{1,4,7}:{(142,1),(143,1),(190,1),(240,1)}
       169:{1,2,5,7}:{(143,1),(148,1),(188,1),(191,1),(192,1),(224,1)}
       170:{2,3,5}:{(144,1),(145,1),(149,1),(189,1),(193,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(147,1),(150,1),(190,1),(193,1),(194,1),(197,1),(225,1),(227,1),(240,1)}
       172:{2,6}:{(146,1),(148,1)}
       173:{2,4,7}:{(147,1),(148,1),(194,1),(195,1)}
       174:{1,4,5}:{(149,1),(150,1),(193,1),(196,1),(240,1)}
       175:{2,4,6}:{(150,1),(151,1),(152,1),(196,1),(197,1)}
       176:{3,7}:{(152,1),(197,1)}
       177:{3,5,7}:{(153,1),(155,1),(157,1),(198,1)}
       178:{2,5,7}:{(154,1),(156,1),(158,1),(200,1)}
       179:{3,4,6}:{(155,1),(198,1),(201,1),(202,1)}
       180:{2,3,5,6}:{(155,1),(156,1),(161,1),(199,1),(202,1),(203,1),(205,1)}
       181:{1,5,6}:{(156,1),(162,1),(200,1),(209,1)}
       182:{2,3,6,7}:{(157,1),(158,1),(161,1),(199,1),(204,1),(241,1)}
       183:{1,4,6,7}:{(158,1),(162,1),(200,1),(204,1),(228,1)}
       184:{3,5}:{(159,1),(160,1)}
       185:{2,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(202,1),(205,1),(206,1),(213,1),(235,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(207,1)}
       187:{1,3,4,7}:{(163,1),(164,1),(168,1),(206,1),(208,1),(211,1),(228,1),(241,1)}
       188:{2,5,7}:{(164,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(165,1),(166,1),(209,1)}
       190:{1,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       191:{1,2,6}:{(167,1),(169,1),(172,1),(207,1)}
       192:{1,2,4,7}:{(168,1),(169,1),(173,1),(208,1),(210,1),(211,1)}
       193:{1,3,5}:{(170,1),(171,1),(174,1),(209,1),(212,1),(214,1)}
       194:{2,4,6}:{(171,1),(172,1),(173,1),(212,1),(213,1),(235,1)}
       195:{2,3,7}:{(173,1),(176,1),(211,1),(213,1)}
       196:{2,4,5}:{(174,1),(175,1),(212,1),(214,1),(235,1)}
       197:{3,6}:{(175,1),(176,1),(214,1)}
       198:{3,4,7}:{(177,1),(179,1),(215,1)}
       199:{2,3,5,7}:{(177,1),(178,1),(180,1),(182,1),(215,1),(216,1)}
       200:{1,5,7}:{(178,1),(181,1),(183,1)}
       201:{3,4,5}:{(179,1),(184,1),(217,1),(227,1)}
       202:{2,4,6}:{(179,1),(180,1),(215,1),(217,1),(218,1)}
       203:{1,3,5,6}:{(180,1),(181,1),(186,1),(216,1),(218,1),(219,1),(221,1),(238,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(186,1),(216,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(195,1),(223,1),(225,1)}
       212:{2,5}:{(193,1),(194,1)}
       213:{2,3,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       214:{3,5}:{(196,1),(197,1),(227,1)}
       215:{2,4,7}:{(198,1),(199,1),(202,1),(228,1)}
       216:{1,3,5,7}:{(199,1),(200,1),(203,1),(204,1),(228,1),(229,1),(241,1)}
       217:{2,4,5}:{(201,1),(202,1),(205,1),(230,1),(235,1)}
       218:{1,4,6}:{(202,1),(203,1),(228,1),(230,1),(231,1)}
       219:{2,5,6}:{(203,1),(207,1),(229,1),(231,1),(232,1)}
       220:{2,6,7}:{(204,1),(207,1),(229,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(230,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(233,1),(241,1)}
       224:{1,2,5}:{(209,1),(210,1),(212,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(213,1),(233,1),(234,1)}
       226:{2,3,5}:{(212,1),(213,1),(214,1),(234,1),(235,1)}
       227:{3,4}:{(214,1),(235,1)}
       228:{1,4,7}:{(215,1),(216,1),(218,1),(236,1)}
       229:{2,5,7}:{(216,1),(219,1),(220,1),(236,1)}
       230:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       231:{2,4,6}:{(218,1),(219,1),(236,1),(237,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(226,1),(239,1),(240,1)}
       235:{2,4}:{(226,1),(227,1),(240,1)}
       236:{2,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(235,1),(243,1)}
       241:{3,7}:{(236,1),(238,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2032 :   0:{3,4,5,6}:{(2,1),(3,1),(136,1),(164,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(117,1),(156,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(152,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(32,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(117,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(98,1),(144,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(139,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(61,1),(68,1),(98,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(33,1),(92,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(79,1),(82,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(79,1),(127,1),(130,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(122,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(169,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(32,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(85,1),(92,1),(122,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(52,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(53,1),(55,1)}
        34:{2,3,5}:{(19,1),(52,1),(56,1)}
        35:{2,3,4,7}:{(19,1),(53,1),(58,1),(71,1),(104,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(61,1)}
        40:{3,5,6}:{(22,1),(61,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(104,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(54,1),(68,1),(69,1),(98,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(117,1),(120,1)}
        52:{1,3,5}:{(31,1),(32,1),(34,1),(72,1),(74,1)}
        53:{1,3,4,7}:{(31,1),(33,1),(35,1),(73,1),(76,1),(92,1),(122,1)}
        54:{1,2,5,6}:{(32,1),(36,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        55:{1,2,5,7}:{(32,1),(33,1),(76,1),(78,1)}
        56:{2,4,5}:{(34,1),(39,1),(74,1),(79,1)}
        57:{2,3,5,6}:{(34,1),(36,1),(40,1),(49,1),(75,1),(79,1),(81,1),(82,1),(127,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(76,1),(80,1),(82,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,6}:{(39,1),(40,1),(79,1),(85,1)}
        62:{3,4,5,7}:{(39,1),(80,1),(85,1),(86,1),(129,1)}
        63:{3,5,7}:{(40,1),(41,1),(85,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(77,1),(92,1),(122,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(79,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,5}:{(51,1),(52,1),(95,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(97,1),(112,1),(139,1)}
        74:{1,4,5}:{(52,1),(56,1),(95,1),(98,1)}
        75:{1,3,5,6}:{(52,1),(54,1),(57,1),(68,1),(96,1),(98,1),(100,1),(101,1),(144,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(58,1),(97,1),(99,1),(101,1)}
        77:{1,2,5,7}:{(54,1),(59,1),(69,1),(100,1),(102,1),(149,1)}
        78:{1,2,6}:{(55,1),(101,1)}
        79:{2,4,6}:{(56,1),(57,1),(61,1),(98,1),(104,1)}
        80:{2,4,5,7}:{(56,1),(58,1),(62,1),(99,1),(104,1),(105,1),(146,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(63,1),(71,1),(100,1),(104,1),(106,1),(146,1)}
        82:{2,3,6}:{(58,1),(101,1),(105,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(61,1),(103,1),(107,1),(109,1)}
        85:{3,4,7}:{(61,1),(63,1),(104,1)}
        86:{3,4,6}:{(62,1),(105,1),(109,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(98,1),(111,1),(113,1),(114,1),(136,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(104,1),(114,1),(115,1)}
        95:{2,4,5}:{(72,1),(74,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(72,1),(75,1),(90,1),(117,1),(119,1),(120,1),(132,1),(151,1),(156,1)}
        97:{2,3,5,7}:{(72,1),(73,1),(76,1),(118,1),(120,1)}
        98:{1,4,6}:{(74,1),(75,1),(79,1),(117,1),(122,1)}
        99:{1,4,5,7}:{(74,1),(76,1),(80,1),(118,1),(122,1),(123,1),(158,1)}
       100:{1,3,5,7}:{(75,1),(77,1),(81,1),(92,1),(119,1),(122,1),(124,1),(158,1)}
       101:{1,3,6}:{(76,1),(78,1),(82,1),(120,1),(123,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(79,1),(84,1),(93,1),(121,1),(125,1),(127,1)}
       104:{2,4,7}:{(79,1),(81,1),(85,1),(122,1)}
       105:{2,4,6}:{(80,1),(82,1),(86,1),(123,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(126,1)}
       107:{3,4,5,7}:{(84,1),(85,1),(125,1),(128,1),(129,1)}
       108:{3,4,6,7}:{(85,1),(86,1),(87,1),(126,1),(129,1),(131,1)}
       109:{3,5,6}:{(86,1),(127,1),(129,1),(130,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(129,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(122,1),(133,1),(134,1),(152,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(136,1)}
       117:{2,4,6}:{(95,1),(96,1),(98,1),(136,1),(139,1)}
       118:{2,4,5,7}:{(95,1),(97,1),(99,1),(137,1),(139,1),(140,1),(166,1)}
       119:{2,3,5,7}:{(96,1),(100,1),(112,1),(139,1),(141,1),(149,1),(162,1),(166,1)}
       120:{2,3,6}:{(97,1),(101,1),(140,1)}
       121:{1,4,5,6}:{(98,1),(103,1),(113,1),(138,1),(142,1),(144,1)}
       122:{1,4,7}:{(98,1),(100,1),(104,1),(139,1)}
       123:{1,4,6}:{(99,1),(101,1),(105,1),(140,1),(144,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(143,1)}
       125:{2,4,5,7}:{(103,1),(104,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(143,1),(146,1)}
       127:{2,5,6}:{(105,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       130:{4,5,6}:{(109,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,6}:{(116,1),(117,1),(151,1),(152,1)}
       137:{3,4,5,7}:{(116,1),(118,1),(152,1),(153,1),(169,1)}
       138:{2,4,5,6}:{(117,1),(121,1),(132,1),(151,1),(154,1),(156,1),(170,1)}
       139:{2,4,7}:{(117,1),(119,1),(122,1),(152,1)}
       140:{2,4,6}:{(118,1),(120,1),(123,1),(153,1),(156,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(155,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(122,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(155,1),(158,1)}
       144:{1,5,6}:{(123,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(129,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(129,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(136,1),(138,1),(162,1)}
       152:{3,4,7}:{(136,1),(139,1),(162,1)}
       153:{3,4,6}:{(137,1),(140,1),(164,1)}
       154:{2,4,5,7}:{(138,1),(139,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,4,6,7}:{(139,1),(140,1),(141,1),(143,1),(163,1),(166,1)}
       156:{2,5,6}:{(140,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(152,1),(154,1),(168,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(174,1)}
       164:{3,5,6}:{(153,1),(156,1),(169,1),(170,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(169,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       170:{4,5,6}:{(164,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2033 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

2034 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(30,1),(123,1),(124,1),(135,1),(137,1),(184,1),(189,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(19,1),(99,1),(101,1),(106,1),(109,1),(166,1),(168,1),(218,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(49,1),(97,1),(212,1),(217,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(27,1),(69,1),(117,1),(123,1),(135,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(36,1),(79,1),(82,1),(196,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(33,1),(76,1),(83,1),(243,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,2,4,5,7}:{(4,1),(16,1),(17,1),(48,1),(51,1),(96,1),(99,1),(101,1),(153,1),(218,1),(219,1),(220,1),(263,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(44,1),(50,1),(89,1),(99,1),(106,1),(147,1),(166,1),(204,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(19,1),(20,1),(200,1),(203,1)}
        10:{2,3,5,7}:{(4,1),(16,1),(21,1),(22,1),(59,1),(224,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(19,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(20,1),(24,1),(25,1),(97,1)}
        14:{2,3,5,6,7}:{(9,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(30,1),(32,1),(33,1),(75,1),(184,1),(245,1),(246,1)}
        17:{1,2,4,6}:{(7,1),(11,1),(33,1),(34,1),(70,1),(76,1),(183,1),(243,1),(281,1)}
        18:{2,4,6,7}:{(8,1),(11,1),(35,1),(36,1),(79,1),(179,1),(196,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(12,1),(36,1),(37,1),(80,1),(231,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(27,1),(37,1),(38,1),(123,1)}
        21:{2,3,4,7}:{(10,1),(32,1),(39,1),(79,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(33,1)}
        23:{2,5,6}:{(11,1),(12,1),(36,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(37,1),(41,1),(76,1)}
        25:{3,4,5,6}:{(13,1),(38,1),(125,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(19,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(20,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{2,3,5,7}:{(16,1),(48,1),(49,1),(96,1),(263,1),(264,1),(265,1)}
        31:{1,2,4,6,7}:{(17,1),(18,1),(50,1),(51,1),(94,1),(99,1),(204,1),(205,1),(219,1)}
        32:{1,3,4,7}:{(16,1),(21,1),(48,1),(52,1),(99,1),(154,1),(268,1)}
        33:{1,3,6}:{(16,1),(17,1),(22,1),(49,1),(212,1)}
        34:{1,2,5,6}:{(17,1),(23,1),(51,1),(53,1),(96,1),(152,1),(255,1)}
        35:{2,3,6,7}:{(18,1),(22,1),(50,1),(56,1),(89,1),(224,1)}
        36:{2,5,7}:{(18,1),(19,1),(23,1)}
        37:{1,4,5,7}:{(19,1),(20,1),(24,1),(44,1),(57,1),(99,1)}
        38:{3,4,5,7}:{(20,1),(25,1),(45,1),(154,1),(200,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(52,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(53,1),(56,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(58,1),(61,1),(62,1),(102,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(36,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(37,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(38,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{2,4,7}:{(30,1),(32,1),(70,1),(283,1)}
        49:{2,3,6}:{(30,1),(33,1),(70,1),(281,1)}
        50:{1,3,6,7}:{(31,1),(33,1),(35,1),(69,1),(73,1),(245,1)}
        51:{1,2,5,7}:{(31,1),(34,1),(36,1),(73,1),(122,1),(231,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(39,1),(70,1),(75,1),(76,1),(125,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(40,1),(71,1),(73,1),(75,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(41,1),(74,1),(76,1),(77,1),(85,1),(124,1),(131,1),(139,1),(172,1),(183,1),(192,1),(193,1),(230,1),(236,1),(241,1),(243,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        55:{2,3,4,6,7}:{(35,1),(39,1),(72,1),(78,1),(79,1),(116,1),(133,1),(174,1),(185,1),(238,1)}
        56:{2,3,5,7}:{(35,1),(36,1),(40,1),(73,1),(79,1),(80,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(41,1),(65,1),(79,1),(80,1)}
        58:{1,3,4,5,7}:{(37,1),(38,1),(42,1),(66,1),(80,1),(81,1),(119,1),(128,1),(136,1),(173,1),(181,1),(237,1)}
        59:{2,3,5}:{(39,1),(75,1),(82,1)}
        60:{2,4,6}:{(40,1),(76,1),(79,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(80,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(81,1),(84,1),(85,1),(131,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(51,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(56,1),(86,1),(88,1),(89,1),(104,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(57,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(58,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(49,1),(50,1),(94,1),(95,1),(212,1),(264,1)}
        70:{2,4,6}:{(48,1),(49,1),(52,1),(96,1)}
        71:{2,3,5,6}:{(49,1),(53,1),(95,1),(96,1),(97,1),(152,1),(155,1),(212,1)}
        72:{1,3,4,6,7}:{(50,1),(52,1),(55,1),(94,1),(98,1),(99,1),(154,1),(157,1),(204,1),(212,1),(214,1),(262,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(53,1),(56,1),(95,1),(99,1)}
        74:{1,2,4,5,7}:{(51,1),(54,1),(57,1),(87,1),(99,1),(100,1),(108,1),(141,1),(153,1),(159,1),(167,1),(203,1),(210,1),(218,1),(219,1),(256,1),(263,1),(288,1),(292,1)}
        75:{1,3,5}:{(52,1),(59,1),(96,1),(101,1),(155,1)}
        76:{1,4,6}:{(53,1),(60,1),(97,1),(99,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(61,1),(100,1),(102,1),(103,1),(155,1),(212,1),(215,1),(221,1),(260,1),(262,1),(307,1),(314,1)}
        78:{2,3,5,7}:{(55,1),(59,1),(98,1),(104,1),(105,1),(145,1),(203,1)}
        79:{2,4,7}:{(56,1),(60,1),(99,1),(106,1)}
        80:{3,5,7}:{(57,1),(61,1),(89,1),(106,1)}
        81:{2,4,5,7}:{(58,1),(62,1),(90,1),(107,1),(108,1),(159,1),(167,1),(203,1)}
        82:{2,4,5}:{(59,1),(60,1),(101,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(106,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(107,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(108,1),(111,1),(162,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(73,1),(112,1),(113,1),(114,1),(126,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(74,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(243,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(79,1),(113,1),(115,1),(116,1),(133,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(80,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(81,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(72,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(73,1),(122,1),(123,1),(184,1)}
        96:{2,5}:{(70,1),(75,1)}
        97:{2,4,6}:{(71,1),(76,1),(123,1),(124,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(78,1),(122,1),(126,1),(127,1),(184,1),(231,1)}
        99:{1,4,7}:{(73,1),(76,1),(79,1),(123,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(80,1),(114,1),(128,1),(129,1),(184,1),(237,1),(245,1),(300,1)}
       101:{1,4,5}:{(75,1),(76,1),(82,1),(124,1)}
       102:{1,3,4,6}:{(76,1),(77,1),(83,1),(125,1),(128,1),(130,1),(131,1),(280,1),(303,1),(312,1)}
       103:{2,3,5,6}:{(77,1),(129,1),(131,1),(132,1),(139,1),(186,1),(198,1),(230,1),(238,1),(241,1),(242,1),(281,1)}
       104:{2,3,5,6}:{(78,1),(126,1),(133,1),(176,1),(230,1),(238,1)}
       105:{2,4,5,7}:{(78,1),(79,1),(82,1),(127,1),(133,1),(134,1)}
       106:{3,4,7}:{(79,1),(80,1),(83,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(84,1),(117,1),(135,1),(136,1),(237,1)}
       108:{1,4,5,7}:{(81,1),(85,1),(118,1),(136,1),(190,1),(231,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(131,1),(135,1),(137,1),(138,1),(242,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(136,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(99,1),(140,1),(141,1),(157,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(100,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(106,1),(145,1),(164,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(107,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(108,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(98,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(99,1),(154,1)}
       124:{2,4,5}:{(96,1),(97,1),(101,1),(155,1)}
       125:{3,4,6}:{(97,1),(154,1),(155,1),(212,1)}
       126:{1,3,5,6}:{(98,1),(104,1),(152,1),(157,1),(212,1),(255,1),(262,1)}
       127:{1,4,5,7}:{(98,1),(99,1),(101,1),(105,1),(153,1),(157,1)}
       128:{1,3,4,7}:{(99,1),(100,1),(102,1),(106,1),(154,1),(159,1),(261,1),(292,1),(308,1)}
       129:{2,3,5,7}:{(100,1),(103,1),(143,1),(159,1),(160,1),(167,1),(203,1),(224,1),(263,1),(264,1)}
       130:{1,3,4,5}:{(101,1),(102,1),(109,1),(155,1),(161,1),(215,1),(294,1),(310,1),(314,1)}
       131:{2,4,6}:{(102,1),(103,1),(159,1),(161,1),(162,1)}
       132:{1,3,5,6}:{(103,1),(160,1),(162,1),(163,1),(215,1),(221,1),(255,1),(262,1)}
       133:{2,4,6}:{(104,1),(105,1),(157,1),(164,1)}
       134:{3,4,5,7}:{(105,1),(106,1),(109,1),(145,1),(164,1)}
       135:{2,3,4,7}:{(106,1),(107,1),(110,1),(159,1),(166,1),(261,1),(264,1)}
       136:{1,3,5,7}:{(107,1),(108,1),(111,1),(147,1),(166,1),(167,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(161,1),(168,1),(265,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(162,1),(166,1),(168,1),(169,1),(221,1)}
       139:{2,5,6}:{(111,1),(167,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(128,1),(171,1),(173,1),(174,1),(188,1)}
       143:{2,3,6,7}:{(114,1),(129,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(133,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(135,1),(174,1),(177,1),(178,1),(194,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(136,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(126,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(125,1),(184,1)}
       155:{3,5}:{(124,1),(125,1)}
       156:{2,3,4,6}:{(125,1),(131,1),(185,1),(186,1),(187,1),(198,1),(238,1),(249,1),(312,1)}
       157:{1,4,6}:{(126,1),(127,1),(133,1),(183,1)}
       158:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(134,1),(173,1),(184,1),(188,1),(189,1),(226,1),(239,1),(272,1),(300,1)}
       159:{2,4,7}:{(128,1),(129,1),(131,1),(190,1)}
       160:{1,3,5,7}:{(129,1),(132,1),(175,1),(190,1),(191,1),(231,1),(245,1)}
       161:{2,4,5}:{(130,1),(131,1),(186,1),(192,1),(241,1)}
       162:{1,4,6}:{(131,1),(132,1),(190,1),(192,1)}
       163:{1,2,5,6}:{(132,1),(139,1),(191,1),(193,1),(241,1),(281,1)}
       164:{3,4,6}:{(133,1),(134,1),(176,1)}
       165:{2,3,4,5,7}:{(134,1),(135,1),(137,1),(177,1),(189,1),(194,1),(195,1),(282,1),(300,1),(302,1),(313,1)}
       166:{1,3,4,7}:{(135,1),(136,1),(138,1),(190,1),(196,1),(245,1)}
       167:{2,5,7}:{(136,1),(139,1),(179,1),(196,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(192,1),(197,1),(246,1)}
       169:{2,4,6}:{(138,1),(139,1),(196,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(157,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(159,1),(203,1),(204,1),(217,1)}
       175:{1,3,6,7}:{(143,1),(160,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(164,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(166,1),(204,1),(207,1),(208,1),(211,1),(222,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(167,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(157,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(155,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(156,1),(159,1),(213,1),(214,1),(224,1),(308,1)}
       186:{2,3,5}:{(155,1),(156,1),(161,1),(215,1),(314,1)}
       187:{1,3,4,6}:{(156,1),(162,1),(214,1),(215,1),(216,1),(221,1),(262,1),(268,1)}
       188:{1,3,4,6}:{(157,1),(158,1),(164,1),(202,1),(212,1),(217,1),(250,1),(262,1),(287,1),(307,1)}
       189:{2,4,5,7}:{(158,1),(159,1),(161,1),(203,1),(213,1),(217,1),(218,1),(263,1)}
       190:{1,4,7}:{(159,1),(160,1),(162,1)}
       191:{1,2,5,7}:{(160,1),(163,1),(167,1),(205,1),(219,1),(263,1)}
       192:{1,4,5}:{(161,1),(162,1),(215,1)}
       193:{1,2,4,6}:{(162,1),(163,1),(169,1),(216,1),(219,1),(220,1),(221,1)}
       194:{2,3,4,6}:{(164,1),(165,1),(206,1),(217,1),(222,1),(295,1),(307,1),(309,1)}
       195:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(207,1),(218,1),(222,1),(223,1),(261,1),(267,1),(292,1),(294,1),(310,1)}
       196:{2,4,7}:{(166,1),(167,1),(169,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(221,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(286,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(188,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(190,1),(231,1),(243,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(191,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(194,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(196,1),(234,1),(235,1),(247,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(186,1),(189,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(187,1),(190,1),(239,1),(240,1),(245,1)}
       215:{1,3,5}:{(186,1),(187,1),(192,1),(241,1)}
       216:{2,4,6}:{(187,1),(240,1),(241,1),(242,1),(281,1),(283,1)}
       217:{2,4,6}:{(188,1),(189,1),(230,1),(238,1),(243,1),(281,1)}
       218:{1,4,5,7}:{(189,1),(190,1),(192,1),(231,1),(239,1),(243,1)}
       219:{1,2,4,7}:{(190,1),(191,1),(193,1),(196,1),(240,1),(245,1)}
       220:{1,2,4,5}:{(192,1),(193,1),(197,1),(241,1),(246,1),(283,1)}
       221:{1,3,6}:{(193,1),(198,1),(242,1),(245,1),(246,1)}
       222:{1,3,4,6}:{(194,1),(195,1),(233,1),(243,1),(247,1),(280,1),(284,1),(303,1)}
       223:{2,4,5,7}:{(195,1),(196,1),(197,1),(234,1),(247,1),(248,1),(279,1),(304,1)}
       224:{2,3,7}:{(196,1),(198,1),(245,1)}
       225:{2,3,5}:{(197,1),(198,1),(246,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(217,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(219,1),(254,1),(256,1),(257,1),(266,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(222,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(224,1),(257,1),(259,1),(269,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(217,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(215,1),(218,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(216,1),(263,1),(264,1)}
       241:{2,5}:{(215,1),(216,1)}
       242:{2,3,6}:{(216,1),(221,1),(264,1),(265,1)}
       243:{1,4,6}:{(217,1),(218,1),(255,1),(262,1)}
       244:{1,2,4,5,7}:{(218,1),(219,1),(220,1),(223,1),(256,1),(263,1),(266,1),(267,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       245:{1,3,7}:{(219,1),(221,1),(224,1),(264,1)}
       246:{1,3,5}:{(220,1),(221,1),(225,1),(265,1),(268,1)}
       247:{2,4,6}:{(222,1),(223,1),(258,1),(269,1)}
       248:{2,3,5,7}:{(223,1),(224,1),(225,1),(267,1),(269,1),(270,1),(298,1)}
       249:{2,3,4}:{(225,1),(268,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(243,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(245,1),(275,1),(277,1),(284,1)}
       258:{2,5,6}:{(233,1),(234,1),(247,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(243,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(241,1),(281,1)}
       264:{2,3,7}:{(240,1),(242,1),(245,1)}
       265:{2,3,5}:{(241,1),(242,1),(246,1),(283,1)}
       266:{1,2,4,6}:{(243,1),(244,1),(247,1),(276,1),(281,1),(284,1),(299,1),(303,1),(305,1)}
       267:{1,3,5,7}:{(244,1),(245,1),(246,1),(248,1),(282,1),(284,1),(285,1),(300,1),(306,1)}
       268:{1,3,4}:{(246,1),(249,1),(283,1)}
       269:{2,3,6}:{(247,1),(248,1),(284,1)}
       270:{2,3,4,7}:{(248,1),(249,1),(279,1),(285,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(266,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(269,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(265,1),(267,1),(295,1),(296,1),(311,1)}
       283:{2,4}:{(265,1),(268,1)}
       284:{1,3,6}:{(266,1),(267,1),(269,1),(295,1),(307,1)}
       285:{1,3,4,7}:{(267,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       286:{2,3,4,6}:{(269,1),(270,1),(293,1),(297,1),(298,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(284,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(284,1),(305,1)}
       296:{2,4,7}:{(282,1),(283,1),(285,1),(305,1)}
       297:{1,3,4,6}:{(284,1),(285,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(286,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2035 :   0:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(23,1),(285,1),(286,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(87,1),(160,1),(163,1),(164,1),(178,1),(236,1),(248,1)}
         2:{1,2,4,7}:{(0,1),(7,1),(9,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(9,1),(38,1),(323,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(47,1),(51,1),(228,1),(229,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(19,1),(47,1),(59,1),(67,1),(111,1),(123,1),(133,1),(189,1),(203,1),(208,1),(222,1),(279,1),(290,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(54,1),(120,1),(206,1),(221,1),(278,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(133,1),(353,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(19,1),(21,1),(23,1),(67,1),(68,1),(133,1),(279,1),(280,1),(285,1),(348,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(20,1),(23,1)}
        10:{1,2,3,6,7}:{(3,1),(22,1),(24,1),(64,1),(141,1),(224,1),(287,1),(354,1),(355,1),(390,1)}
        11:{1,2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(65,1),(70,1),(72,1),(140,1),(141,1),(283,1),(286,1),(349,1),(355,1),(391,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(26,1),(28,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(28,1),(75,1),(270,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(160,1),(335,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(87,1),(88,1),(160,1),(253,1),(329,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(38,1),(75,1),(96,1),(147,1),(161,1),(265,1),(318,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(84,1),(93,1),(160,1),(247,1),(248,1),(255,1),(261,1),(314,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(250,1),(264,1),(317,1)}
        19:{1,3,5,7}:{(7,1),(8,1),(31,1),(38,1),(40,1),(320,1),(374,1)}
        20:{1,3,4,6}:{(7,1),(9,1),(32,1),(38,1),(40,1),(96,1)}
        21:{1,2,4,6}:{(8,1),(33,1),(38,1),(42,1),(96,1),(318,1),(323,1)}
        22:{1,2,4,6,7}:{(9,1),(10,1),(39,1),(43,1),(45,1),(103,1),(244,1),(261,1),(323,1),(378,1)}
        23:{1,2,5}:{(9,1),(40,1)}
        24:{1,2,3,5,7}:{(10,1),(11,1),(43,1),(45,1),(95,1),(104,1),(181,1),(322,1),(374,1),(402,1)}
        25:{1,2,4,6}:{(11,1),(44,1),(45,1),(46,1),(96,1),(175,1),(325,1),(403,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(189,1),(309,1)}
        27:{1,2,4,5,7}:{(12,1),(15,1),(47,1),(49,1),(51,1),(111,1),(112,1),(189,1),(222,1),(223,1),(228,1),(304,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(48,1),(51,1)}
        29:{1,2,3,6,7}:{(13,1),(50,1),(52,1),(108,1),(197,1),(230,1),(281,1),(310,1),(311,1),(368,1)}
        30:{1,2,3,5,6}:{(13,1),(51,1),(52,1),(53,1),(109,1),(114,1),(116,1),(196,1),(197,1),(226,1),(229,1),(305,1),(311,1),(369,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(19,1),(47,1),(54,1),(56,1),(296,1),(360,1)}
        32:{2,3,4,6}:{(14,1),(20,1),(48,1),(54,1),(56,1),(120,1)}
        33:{2,4,6}:{(15,1),(16,1),(54,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(57,1),(59,1),(64,1),(108,1),(127,1),(133,1),(189,1),(203,1),(210,1),(290,1),(299,1),(303,1),(347,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(58,1),(59,1),(60,1),(126,1),(306,1),(350,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(59,1),(62,1),(288,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(60,1),(62,1),(63,1),(120,1)}
        38:{1,3,6}:{(19,1),(21,1),(54,1)}
        39:{1,3,4,6,7}:{(20,1),(22,1),(55,1),(64,1),(66,1),(73,1),(133,1),(135,1),(141,1),(200,1),(284,1),(347,1),(390,1),(392,1),(409,1)}
        40:{1,3,5}:{(20,1),(23,1),(56,1),(67,1)}
        41:{1,2,4,6,7}:{(21,1),(57,1),(64,1),(68,1),(133,1),(347,1),(348,1),(354,1)}
        42:{1,2,5,6}:{(21,1),(23,1),(58,1),(65,1),(68,1),(350,1)}
        43:{1,2,5,7}:{(22,1),(23,1),(66,1),(70,1),(302,1),(393,1)}
        44:{1,2,4,5}:{(23,1),(25,1),(67,1),(72,1),(137,1),(393,1),(410,1)}
        45:{1,2,4,7}:{(24,1),(25,1),(73,1),(133,1),(218,1),(409,1)}
        46:{1,3,4,6}:{(25,1),(72,1),(73,1),(74,1),(141,1),(349,1),(353,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(31,1),(75,1),(77,1),(267,1),(341,1)}
        48:{1,3,4,6}:{(26,1),(28,1),(32,1),(75,1),(77,1),(147,1)}
        49:{1,2,4,6}:{(27,1),(33,1),(75,1),(79,1),(147,1),(265,1),(270,1)}
        50:{1,2,4,6,7}:{(28,1),(29,1),(76,1),(80,1),(82,1),(154,1),(186,1),(270,1),(314,1),(345,1)}
        51:{1,2,5}:{(28,1),(77,1)}
        52:{1,2,3,5,7}:{(29,1),(30,1),(80,1),(82,1),(146,1),(155,1),(239,1),(269,1),(341,1),(386,1)}
        53:{1,2,4,6}:{(30,1),(81,1),(82,1),(83,1),(147,1),(233,1),(272,1),(387,1)}
        54:{2,3,6}:{(31,1),(33,1),(38,1),(75,1)}
        55:{2,3,4,6,7}:{(32,1),(39,1),(76,1),(84,1),(86,1),(106,1),(157,1),(160,1),(162,1),(183,1),(241,1),(247,1),(261,1),(314,1),(381,1),(384,1),(406,1)}
        56:{2,3,5}:{(32,1),(40,1),(77,1),(87,1)}
        57:{2,4,6,7}:{(33,1),(34,1),(84,1),(88,1),(160,1),(329,1),(338,1)}
        58:{2,5,6}:{(33,1),(35,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(36,1),(88,1),(91,1),(166,1),(339,1),(372,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(89,1),(91,1),(96,1),(147,1)}
        61:{2,3,5,6,7}:{(36,1),(90,1),(93,1),(172,1),(255,1),(258,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(91,1),(93,1),(94,1),(160,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(161,1),(250,1)}
        64:{1,3,6,7}:{(38,1),(41,1),(84,1),(95,1),(374,1)}
        65:{1,3,5,6}:{(38,1),(40,1),(42,1),(85,1),(95,1),(96,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(43,1),(86,1),(97,1),(98,1),(372,1),(404,1)}
        67:{1,4,5}:{(40,1),(87,1),(96,1)}
        68:{1,2,5,7}:{(41,1),(42,1),(88,1),(95,1),(372,1)}
        69:{1,2,4,5,6}:{(42,1),(44,1),(89,1),(96,1),(101,1),(102,1),(103,1),(171,1),(175,1),(176,1),(257,1),(264,1),(316,1),(375,1),(382,1),(403,1)}
        70:{1,2,5,6}:{(43,1),(97,1),(103,1),(264,1),(323,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(98,1),(103,1),(104,1),(178,1)}
        72:{1,3,5}:{(44,1),(46,1),(105,1)}
        73:{1,3,4,7}:{(45,1),(46,1),(104,1),(106,1),(374,1)}
        74:{2,3,4,6}:{(46,1),(105,1),(106,1),(107,1),(175,1),(183,1),(330,1),(335,1)}
        75:{1,3,6}:{(47,1),(49,1),(54,1)}
        76:{1,3,4,6,7}:{(48,1),(50,1),(55,1),(108,1),(110,1),(117,1),(144,1),(189,1),(191,1),(197,1),(227,1),(303,1),(368,1),(370,1),(400,1)}
        77:{1,3,5}:{(48,1),(51,1),(56,1),(111,1)}
        78:{1,2,4,6,7}:{(49,1),(57,1),(108,1),(112,1),(189,1),(303,1),(304,1),(310,1)}
        79:{1,2,5,6}:{(49,1),(51,1),(58,1),(109,1),(112,1),(306,1)}
        80:{1,2,5,7}:{(50,1),(51,1),(110,1),(114,1),(346,1),(371,1)}
        81:{1,2,4,5}:{(51,1),(53,1),(111,1),(116,1),(193,1),(371,1),(401,1)}
        82:{1,2,4,7}:{(52,1),(53,1),(117,1),(189,1),(275,1),(400,1)}
        83:{1,3,4,6}:{(53,1),(116,1),(117,1),(118,1),(197,1),(305,1),(309,1)}
        84:{2,3,6,7}:{(54,1),(57,1),(64,1),(108,1),(119,1),(210,1),(360,1)}
        85:{2,3,5,6}:{(54,1),(56,1),(58,1),(65,1),(109,1),(119,1),(120,1),(126,1)}
        86:{2,3,5,7}:{(55,1),(56,1),(66,1),(110,1),(121,1),(122,1),(288,1),(302,1),(346,1),(398,1)}
        87:{2,4,5}:{(56,1),(67,1),(111,1),(120,1),(123,1)}
        88:{2,5,7}:{(57,1),(58,1),(59,1)}
        89:{2,4,5,6}:{(58,1),(60,1),(120,1),(125,1),(126,1)}
        90:{1,3,5,6,7}:{(59,1),(61,1),(124,1),(127,1),(210,1),(299,1),(301,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(62,1),(125,1),(127,1),(133,1),(189,1)}
        92:{1,3,4,5,6}:{(60,1),(63,1),(126,1),(128,1),(129,1),(134,1),(190,1),(212,1),(220,1),(277,1),(292,1),(361,1),(396,1)}
        93:{2,4,6,7}:{(61,1),(62,1),(127,1),(131,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(131,1),(203,1),(288,1)}
        95:{1,3,5,7}:{(64,1),(65,1),(68,1),(119,1),(133,1)}
        96:{1,4,6}:{(65,1),(67,1),(120,1),(133,1)}
        97:{1,3,5,6}:{(66,1),(70,1),(121,1),(135,1),(141,1),(284,1),(350,1)}
        98:{1,4,5,7}:{(66,1),(67,1),(122,1),(133,1),(135,1),(409,1),(410,1)}
        99:{1,3,4,5}:{(67,1),(72,1),(123,1),(134,1),(137,1),(410,1),(412,1)}
       100:{1,2,5,6,7}:{(68,1),(70,1),(124,1),(132,1),(138,1),(301,1),(302,1),(354,1),(366,1),(389,1)}
       101:{1,2,4,5,7}:{(68,1),(69,1),(125,1),(133,1),(138,1),(139,1),(215,1),(216,1),(218,1),(300,1),(302,1),(348,1),(389,1),(394,1),(409,1)}
       102:{1,3,5,6}:{(69,1),(72,1),(126,1),(134,1),(139,1),(140,1),(141,1),(349,1),(396,1)}
       103:{1,2,4,6}:{(70,1),(71,1),(135,1),(141,1),(221,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(73,1),(141,1),(142,1)}
       105:{2,3,5}:{(72,1),(74,1),(137,1),(143,1)}
       106:{2,3,4,7}:{(73,1),(74,1),(142,1),(144,1),(218,1),(360,1)}
       107:{1,3,4,6}:{(74,1),(143,1),(144,1),(145,1),(219,1),(227,1),(305,1),(309,1)}
       108:{1,3,6,7}:{(75,1),(78,1),(84,1),(146,1),(341,1)}
       109:{1,3,5,6}:{(75,1),(77,1),(79,1),(85,1),(146,1),(147,1)}
       110:{1,3,5,7}:{(76,1),(77,1),(80,1),(86,1),(148,1),(149,1),(339,1),(388,1)}
       111:{1,4,5}:{(77,1),(87,1),(147,1)}
       112:{1,2,5,7}:{(78,1),(79,1),(88,1),(146,1),(339,1)}
       113:{1,2,4,5,6}:{(79,1),(81,1),(89,1),(147,1),(152,1),(153,1),(154,1),(171,1),(233,1),(234,1),(257,1),(263,1),(317,1),(342,1),(382,1),(387,1)}
       114:{1,2,5,6}:{(80,1),(148,1),(154,1),(270,1),(317,1)}
       115:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(149,1),(154,1),(155,1),(236,1)}
       116:{1,3,5}:{(81,1),(83,1),(156,1)}
       117:{1,3,4,7}:{(82,1),(83,1),(155,1),(157,1),(341,1)}
       118:{2,3,4,6}:{(83,1),(156,1),(157,1),(158,1),(233,1),(241,1),(330,1),(335,1)}
       119:{2,3,5,7}:{(84,1),(85,1),(88,1),(95,1),(146,1),(160,1),(166,1)}
       120:{2,4,6}:{(85,1),(87,1),(96,1),(147,1),(160,1),(161,1)}
       121:{2,3,5,6}:{(86,1),(97,1),(148,1),(162,1),(183,1),(241,1),(250,1),(264,1),(317,1)}
       122:{2,4,5,7}:{(86,1),(87,1),(98,1),(149,1),(160,1),(162,1),(163,1),(406,1),(408,1)}
       123:{3,4,5}:{(87,1),(161,1)}
       124:{2,5,6,7}:{(88,1),(90,1),(165,1),(338,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(91,1),(160,1),(165,1),(166,1)}
       126:{3,5,6}:{(89,1),(161,1),(166,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(93,1),(165,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(166,1),(169,1),(170,1),(174,1),(232,1),(256,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       129:{2,4,5,6}:{(92,1),(167,1),(170,1),(171,1),(175,1),(233,1),(257,1),(264,1),(317,1)}
       130:{2,4,5,6,7}:{(93,1),(168,1),(172,1),(246,1),(258,1),(385,1)}
       131:{3,4,6,7}:{(93,1),(94,1),(172,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(100,1),(159,1),(173,1),(180,1),(260,1),(321,1),(372,1),(402,1)}
       133:{1,4,7}:{(95,1),(96,1),(160,1)}
       134:{1,3,4,6}:{(96,1),(99,1),(102,1),(161,1),(174,1),(175,1),(403,1),(407,1)}
       135:{1,4,6}:{(97,1),(98,1),(162,1)}
       136:{1,3,4,5,7}:{(98,1),(99,1),(104,1),(163,1),(174,1),(177,1),(178,1),(260,1)}
       137:{2,4,5}:{(99,1),(105,1),(175,1),(179,1)}
       138:{1,2,4,6,7}:{(100,1),(101,1),(103,1),(165,1),(173,1),(180,1),(259,1),(261,1),(338,1),(385,1)}
       139:{1,3,5,7}:{(101,1),(102,1),(166,1),(174,1),(180,1),(181,1),(374,1),(405,1)}
       140:{2,3,5,6}:{(102,1),(105,1),(175,1),(181,1),(182,1),(183,1),(257,1),(264,1),(330,1)}
       141:{1,3,6}:{(103,1),(104,1),(183,1)}
       142:{2,3,5,7}:{(104,1),(105,1),(106,1),(178,1),(183,1),(184,1)}
       143:{1,3,5}:{(105,1),(107,1),(179,1),(185,1)}
       144:{1,3,4,7}:{(106,1),(107,1),(184,1),(186,1),(262,1),(341,1)}
       145:{1,2,4,6}:{(107,1),(185,1),(186,1),(187,1),(270,1),(272,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(112,1),(119,1),(189,1)}
       147:{1,4,6}:{(109,1),(111,1),(120,1),(189,1)}
       148:{1,3,5,6}:{(110,1),(114,1),(121,1),(191,1),(197,1),(227,1),(306,1)}
       149:{1,4,5,7}:{(110,1),(111,1),(122,1),(189,1),(191,1),(400,1),(401,1)}
       150:{1,3,4,5}:{(111,1),(116,1),(123,1),(190,1),(193,1),(401,1),(412,1)}
       151:{1,2,5,6,7}:{(112,1),(114,1),(124,1),(188,1),(194,1),(301,1),(310,1),(346,1),(366,1),(367,1)}
       152:{1,2,4,5,7}:{(112,1),(113,1),(125,1),(189,1),(194,1),(195,1),(215,1),(273,1),(275,1),(300,1),(304,1),(346,1),(367,1),(394,1),(400,1)}
       153:{1,3,5,6}:{(113,1),(116,1),(126,1),(190,1),(195,1),(196,1),(197,1),(305,1),(396,1)}
       154:{1,2,4,6}:{(114,1),(115,1),(191,1),(197,1),(278,1)}
       155:{1,3,5,7}:{(115,1),(116,1),(117,1),(197,1),(198,1)}
       156:{2,3,5}:{(116,1),(118,1),(193,1),(199,1)}
       157:{2,3,4,7}:{(117,1),(118,1),(198,1),(200,1),(275,1),(360,1)}
       158:{1,3,4,6}:{(118,1),(199,1),(200,1),(201,1),(276,1),(284,1),(349,1),(353,1)}
       159:{2,3,5,6,7}:{(119,1),(121,1),(124,1),(132,1),(188,1),(202,1),(210,1),(224,1),(281,1),(288,1),(302,1),(346,1),(366,1),(395,1),(399,1)}
       160:{2,4,7}:{(119,1),(120,1),(133,1),(189,1),(203,1)}
       161:{3,4,6}:{(120,1),(123,1),(126,1),(203,1)}
       162:{2,4,6}:{(121,1),(122,1),(135,1),(191,1),(206,1)}
       163:{3,4,5,7}:{(122,1),(123,1),(203,1),(206,1),(288,1),(411,1),(412,1)}
       164:{2,3,4,5}:{(123,1),(137,1),(193,1),(204,1),(208,1),(296,1),(412,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(127,1),(210,1)}
       166:{3,5,7}:{(125,1),(126,1),(203,1),(210,1)}
       167:{2,3,5,6}:{(126,1),(129,1),(204,1),(211,1),(212,1),(396,1)}
       168:{1,4,5,6,7}:{(127,1),(130,1),(209,1),(213,1),(216,1),(273,1),(301,1),(365,1)}
       169:{1,3,4,6,7}:{(127,1),(128,1),(131,1),(210,1),(213,1),(214,1),(297,1),(299,1),(365,1),(399,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(211,1),(214,1),(215,1),(218,1),(275,1),(300,1),(302,1),(346,1)}
       171:{1,4,5,6}:{(129,1),(212,1),(215,1),(219,1),(276,1),(306,1),(350,1)}
       172:{3,5,6,7}:{(130,1),(131,1),(288,1),(399,1)}
       173:{1,4,6,7}:{(132,1),(133,1),(135,1),(202,1),(216,1),(409,1)}
       174:{1,3,4,7}:{(133,1),(134,1),(139,1),(203,1),(218,1),(409,1),(411,1)}
       175:{2,4,6}:{(134,1),(137,1),(140,1),(218,1),(219,1)}
       176:{1,4,5,6}:{(135,1),(205,1),(216,1),(220,1),(350,1)}
       177:{1,3,4,6}:{(135,1),(136,1),(141,1),(206,1),(220,1),(221,1)}
       178:{2,4,5,7}:{(136,1),(137,1),(142,1),(218,1),(221,1),(222,1),(302,1)}
       179:{1,4,5}:{(137,1),(143,1),(219,1)}
       180:{1,3,6,7}:{(138,1),(139,1),(141,1),(210,1),(224,1),(399,1)}
       181:{2,3,5,7}:{(139,1),(140,1),(218,1),(224,1),(225,1),(300,1),(302,1),(360,1)}
       182:{1,3,5,6}:{(140,1),(143,1),(219,1),(225,1),(226,1),(227,1),(305,1),(306,1)}
       183:{2,3,6}:{(141,1),(142,1),(221,1),(227,1)}
       184:{1,3,5,7}:{(142,1),(143,1),(144,1),(222,1),(227,1),(228,1)}
       185:{1,2,5}:{(143,1),(145,1)}
       186:{1,2,4,7}:{(144,1),(145,1),(228,1),(230,1)}
       187:{1,2,3,6}:{(145,1),(229,1),(230,1),(305,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(151,1),(159,1),(231,1),(238,1),(268,1),(313,1),(339,1),(386,1)}
       189:{1,4,7}:{(146,1),(147,1),(160,1)}
       190:{1,3,4,6}:{(147,1),(150,1),(153,1),(161,1),(232,1),(233,1),(387,1),(407,1)}
       191:{1,4,6}:{(148,1),(149,1),(162,1)}
       192:{1,3,4,5,7}:{(149,1),(150,1),(155,1),(163,1),(232,1),(235,1),(236,1),(313,1)}
       193:{2,4,5}:{(150,1),(156,1),(233,1),(237,1)}
       194:{1,2,4,6,7}:{(151,1),(152,1),(154,1),(165,1),(231,1),(238,1),(259,1),(314,1),(338,1),(385,1)}
       195:{1,3,5,7}:{(152,1),(153,1),(166,1),(232,1),(238,1),(239,1),(341,1),(405,1)}
       196:{2,3,5,6}:{(153,1),(156,1),(233,1),(239,1),(240,1),(241,1),(257,1),(317,1),(330,1)}
       197:{1,3,6}:{(154,1),(155,1),(241,1)}
       198:{2,3,5,7}:{(155,1),(156,1),(157,1),(236,1),(241,1),(242,1)}
       199:{1,3,5}:{(156,1),(158,1),(237,1),(243,1)}
       200:{1,3,4,7}:{(157,1),(158,1),(242,1),(244,1),(315,1),(374,1)}
       201:{1,2,4,6}:{(158,1),(243,1),(244,1),(245,1),(323,1),(325,1)}
       202:{2,4,6,7}:{(159,1),(160,1),(162,1),(173,1),(231,1),(246,1),(247,1),(406,1)}
       203:{3,4,7}:{(160,1),(161,1),(166,1)}
       204:{2,3,4,6}:{(161,1),(164,1),(167,1),(175,1),(233,1),(248,1),(249,1),(330,1),(407,1)}
       205:{2,4,5,6}:{(162,1),(176,1),(234,1),(246,1),(250,1),(264,1),(317,1)}
       206:{3,4,6}:{(162,1),(163,1),(250,1)}
       207:{2,3,4,5,7}:{(163,1),(164,1),(178,1),(236,1),(248,1),(251,1),(252,1),(327,1),(334,1),(406,1),(408,1)}
       208:{1,3,4,5}:{(164,1),(179,1),(237,1),(249,1),(253,1),(267,1),(320,1)}
       209:{2,4,5,6,7}:{(165,1),(168,1),(246,1),(254,1),(258,1),(336,1)}
       210:{3,6,7}:{(165,1),(166,1)}
       211:{2,3,5,7}:{(166,1),(167,1),(170,1),(248,1),(255,1),(256,1),(405,1)}
       212:{1,3,5,6}:{(167,1),(171,1),(249,1),(256,1),(257,1)}
       213:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(254,1),(258,1),(260,1),(313,1)}
       214:{2,4,6,7}:{(169,1),(170,1),(255,1),(258,1),(259,1),(338,1)}
       215:{1,4,5,7}:{(170,1),(171,1),(256,1),(259,1),(262,1),(315,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(176,1),(246,1),(260,1),(372,1)}
       217:{1,3,4,6,7}:{(173,1),(174,1),(177,1),(180,1),(247,1),(260,1),(261,1)}
       218:{2,4,7}:{(174,1),(175,1),(181,1),(262,1)}
       219:{1,4,6}:{(175,1),(179,1),(182,1),(262,1)}
       220:{1,3,5,6}:{(176,1),(177,1),(250,1),(260,1),(264,1)}
       221:{2,4,6}:{(177,1),(178,1),(183,1),(264,1),(265,1)}
       222:{1,4,5,7}:{(178,1),(179,1),(184,1),(262,1),(265,1),(339,1)}
       223:{1,2,4,5}:{(179,1),(185,1),(253,1),(263,1),(267,1),(272,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(183,1),(261,1),(268,1),(338,1)}
       225:{1,3,5,7}:{(181,1),(182,1),(262,1),(268,1),(269,1),(339,1),(341,1)}
       226:{1,2,5,6}:{(182,1),(185,1),(257,1),(263,1),(269,1),(270,1)}
       227:{1,3,6}:{(183,1),(184,1),(265,1),(270,1)}
       228:{1,2,5,7}:{(184,1),(185,1),(186,1),(270,1)}
       229:{1,2,3,5}:{(185,1),(187,1),(267,1),(272,1)}
       230:{1,2,3,7}:{(186,1),(187,1),(341,1)}
       231:{1,4,6,7}:{(188,1),(189,1),(191,1),(202,1),(273,1),(400,1)}
       232:{1,3,4,7}:{(189,1),(190,1),(195,1),(203,1),(275,1),(400,1),(411,1)}
       233:{2,4,6}:{(190,1),(193,1),(196,1),(275,1),(276,1)}
       234:{1,4,5,6}:{(191,1),(205,1),(273,1),(277,1),(306,1)}
       235:{1,3,4,6}:{(191,1),(192,1),(197,1),(206,1),(277,1),(278,1)}
       236:{2,4,5,7}:{(192,1),(193,1),(198,1),(275,1),(278,1),(279,1),(346,1)}
       237:{1,4,5}:{(193,1),(199,1),(276,1)}
       238:{1,3,6,7}:{(194,1),(195,1),(197,1),(210,1),(281,1),(399,1)}
       239:{2,3,5,7}:{(195,1),(196,1),(275,1),(281,1),(282,1),(300,1),(346,1),(360,1)}
       240:{1,3,5,6}:{(196,1),(199,1),(276,1),(282,1),(283,1),(284,1),(349,1),(350,1)}
       241:{2,3,6}:{(197,1),(198,1),(278,1),(284,1)}
       242:{1,3,5,7}:{(198,1),(199,1),(200,1),(279,1),(284,1),(285,1)}
       243:{1,2,5}:{(199,1),(201,1)}
       244:{1,2,4,7}:{(200,1),(201,1),(285,1),(287,1)}
       245:{1,2,3,6}:{(201,1),(286,1),(287,1),(349,1)}
       246:{2,4,5,7}:{(202,1),(205,1),(216,1),(273,1),(288,1),(302,1),(346,1)}
       247:{3,4,6,7}:{(202,1),(203,1),(206,1),(210,1),(288,1),(399,1),(411,1)}
       248:{2,3,4,7}:{(203,1),(204,1),(211,1),(218,1),(275,1),(290,1),(360,1),(411,1)}
       249:{1,3,4,6}:{(204,1),(208,1),(212,1),(219,1),(276,1),(290,1),(291,1),(305,1),(349,1)}
       250:{3,5,6}:{(205,1),(206,1),(288,1)}
       251:{2,3,4,6}:{(206,1),(207,1),(221,1),(278,1),(293,1),(294,1),(363,1),(397,1)}
       252:{1,3,4,5,7}:{(207,1),(208,1),(222,1),(279,1),(290,1),(294,1),(295,1),(308,1),(352,1),(358,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       253:{2,4,5}:{(208,1),(291,1),(296,1)}
       254:{3,5,6,7}:{(209,1),(210,1),(288,1),(297,1)}
       255:{2,3,6,7}:{(210,1),(211,1),(214,1),(299,1),(399,1)}
       256:{1,3,5,7}:{(211,1),(212,1),(215,1),(290,1),(299,1),(300,1)}
       257:{2,5,6}:{(212,1),(291,1),(300,1)}
       258:{2,5,6,7}:{(213,1),(214,1),(301,1),(302,1),(346,1)}
       259:{1,4,6,7}:{(214,1),(215,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(220,1),(288,1),(302,1)}
       261:{2,4,6,7}:{(217,1),(218,1),(221,1),(224,1),(302,1),(303,1)}
       262:{1,4,7}:{(218,1),(219,1),(225,1)}
       263:{1,2,4,6}:{(219,1),(223,1),(226,1),(291,1),(304,1),(305,1)}
       264:{2,5,6}:{(220,1),(221,1),(302,1),(306,1)}
       265:{1,4,6}:{(221,1),(222,1),(227,1),(306,1)}
       266:{1,2,4,5,7}:{(222,1),(223,1),(228,1),(295,1),(304,1),(307,1),(308,1),(312,1),(367,1),(371,1),(400,1),(401,1)}
       267:{1,3,5}:{(223,1),(296,1),(305,1),(309,1)}
       268:{1,3,6,7}:{(224,1),(225,1),(227,1),(303,1),(310,1)}
       269:{1,2,5,7}:{(225,1),(226,1),(300,1),(304,1),(310,1)}
       270:{1,2,6}:{(227,1),(228,1)}
       271:{1,2,3,5,7}:{(228,1),(229,1),(230,1),(308,1),(311,1),(312,1),(371,1)}
       272:{1,2,4}:{(229,1),(309,1)}
       273:{1,4,5,7}:{(231,1),(234,1),(246,1),(313,1),(339,1)}
       274:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(238,1),(247,1),(313,1),(314,1)}
       275:{2,4,7}:{(232,1),(233,1),(239,1),(315,1)}
       276:{1,4,6}:{(233,1),(237,1),(240,1),(315,1)}
       277:{1,3,5,6}:{(234,1),(235,1),(250,1),(313,1),(317,1)}
       278:{2,4,6}:{(235,1),(236,1),(241,1),(317,1),(318,1)}
       279:{1,4,5,7}:{(236,1),(237,1),(242,1),(315,1),(318,1),(372,1)}
       280:{1,2,4,5}:{(237,1),(243,1),(253,1),(316,1),(320,1),(325,1)}
       281:{2,3,6,7}:{(238,1),(239,1),(241,1),(314,1),(321,1),(338,1)}
       282:{1,3,5,7}:{(239,1),(240,1),(315,1),(321,1),(322,1),(372,1),(374,1)}
       283:{1,2,5,6}:{(240,1),(243,1),(257,1),(316,1),(322,1),(323,1)}
       284:{1,3,6}:{(241,1),(242,1),(318,1),(323,1)}
       285:{1,2,5,7}:{(242,1),(243,1),(244,1),(323,1)}
       286:{1,2,3,5}:{(243,1),(245,1),(320,1),(325,1)}
       287:{1,2,3,7}:{(244,1),(245,1),(374,1)}
       288:{3,5,7}:{(246,1),(247,1),(250,1)}
       289:{2,3,4,6,7}:{(247,1),(248,1),(251,1),(255,1),(261,1),(314,1),(327,1),(328,1),(336,1),(381,1),(406,1)}
       290:{1,3,4,7}:{(248,1),(249,1),(256,1),(262,1),(315,1),(329,1),(341,1),(374,1)}
       291:{2,4,6}:{(249,1),(253,1),(257,1),(329,1),(330,1)}
       292:{3,4,5,6}:{(250,1),(326,1),(331,1),(407,1)}
       293:{2,3,5,6}:{(250,1),(251,1),(264,1),(317,1),(327,1),(331,1),(332,1)}
       294:{1,3,4,6}:{(251,1),(252,1),(265,1),(318,1),(332,1),(333,1),(343,1),(376,1),(387,1),(403,1),(407,1)}
       295:{2,4,5,7}:{(252,1),(253,1),(329,1),(333,1),(334,1),(380,1),(406,1),(408,1)}
       296:{2,3,5}:{(253,1),(267,1),(320,1),(330,1),(335,1)}
       297:{3,4,6,7}:{(254,1),(326,1),(336,1)}
       298:{2,3,5,6,7}:{(254,1),(255,1),(258,1),(327,1),(336,1),(337,1)}
       299:{1,3,6,7}:{(255,1),(256,1),(259,1),(338,1)}
       300:{2,5,7}:{(256,1),(257,1),(329,1),(338,1)}
       301:{1,5,6,7}:{(258,1),(259,1),(339,1),(372,1)}
       302:{2,5,7}:{(260,1),(261,1),(264,1),(339,1)}
       303:{1,4,6,7}:{(261,1),(262,1),(265,1),(268,1),(339,1)}
       304:{1,2,4,7}:{(262,1),(263,1),(269,1),(329,1),(341,1)}
       305:{1,3,6}:{(263,1),(267,1),(330,1),(341,1)}
       306:{1,5,6}:{(264,1),(265,1),(339,1)}
       307:{1,2,4,6}:{(265,1),(266,1),(270,1),(333,1),(342,1),(343,1),(387,1)}
       308:{1,3,5,7}:{(266,1),(267,1),(334,1),(341,1),(343,1),(344,1),(388,1)}
       309:{1,3,4}:{(267,1),(272,1),(335,1)}
       310:{1,2,6,7}:{(268,1),(269,1),(270,1),(338,1)}
       311:{1,2,3,6}:{(270,1),(271,1),(343,1),(345,1)}
       312:{1,2,4,7}:{(271,1),(272,1),(344,1),(345,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(277,1),(288,1),(346,1)}
       314:{2,4,6,7}:{(274,1),(275,1),(278,1),(281,1),(346,1),(347,1)}
       315:{1,4,7}:{(275,1),(276,1),(282,1)}
       316:{1,2,4,6}:{(276,1),(280,1),(283,1),(291,1),(348,1),(349,1)}
       317:{2,5,6}:{(277,1),(278,1),(346,1),(350,1)}
       318:{1,4,6}:{(278,1),(279,1),(284,1),(350,1)}
       319:{1,2,4,5,7}:{(279,1),(280,1),(285,1),(295,1),(348,1),(351,1),(352,1),(356,1),(389,1),(393,1),(409,1),(410,1)}
       320:{1,3,5}:{(280,1),(296,1),(349,1),(353,1)}
       321:{1,3,6,7}:{(281,1),(282,1),(284,1),(347,1),(354,1)}
       322:{1,2,5,7}:{(282,1),(283,1),(300,1),(348,1),(354,1)}
       323:{1,2,6}:{(284,1),(285,1)}
       324:{1,2,3,5,7}:{(285,1),(286,1),(287,1),(352,1),(355,1),(356,1),(393,1)}
       325:{1,2,4}:{(286,1),(353,1)}
       326:{3,4,5,7}:{(288,1),(292,1),(297,1),(357,1),(411,1)}
       327:{2,3,5,7}:{(288,1),(289,1),(293,1),(302,1),(346,1),(357,1),(358,1)}
       328:{1,3,4,6,7}:{(289,1),(290,1),(294,1),(299,1),(303,1),(347,1),(358,1),(359,1),(365,1),(368,1),(390,1),(399,1),(400,1),(409,1),(411,1)}
       329:{2,4,7}:{(290,1),(291,1),(300,1),(360,1)}
       330:{2,3,6}:{(291,1),(296,1),(305,1),(349,1),(360,1)}
       331:{2,4,5,6}:{(292,1),(293,1),(357,1),(361,1),(397,1)}
       332:{1,3,5,6}:{(293,1),(294,1),(306,1),(350,1),(358,1),(361,1),(362,1),(396,1)}
       333:{2,4,6}:{(294,1),(295,1),(362,1),(363,1)}
       334:{2,3,5,7}:{(295,1),(296,1),(308,1),(352,1),(360,1),(363,1),(364,1),(398,1)}
       335:{2,3,4}:{(296,1),(309,1),(353,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(357,1),(365,1)}
       337:{1,3,5,6,7}:{(298,1),(299,1),(301,1),(358,1),(365,1),(366,1),(399,1)}
       338:{2,6,7}:{(299,1),(300,1)}
       339:{1,5,7}:{(302,1),(303,1),(306,1)}
       340:{1,2,4,6,7}:{(303,1),(304,1),(307,1),(310,1),(359,1),(367,1),(368,1),(400,1)}
       341:{1,3,7}:{(304,1),(305,1),(360,1)}
       342:{1,2,5,6}:{(306,1),(307,1),(362,1),(367,1),(369,1),(371,1)}
       343:{1,3,6}:{(307,1),(308,1),(363,1)}
       344:{1,3,4,7}:{(308,1),(309,1),(312,1),(364,1),(370,1),(400,1)}
       345:{1,2,4,6}:{(311,1),(312,1),(370,1),(371,1)}
       346:{2,5,7}:{(313,1),(314,1),(317,1),(372,1)}
       347:{1,4,6,7}:{(314,1),(315,1),(318,1),(321,1),(372,1)}
       348:{1,2,4,7}:{(315,1),(316,1),(322,1),(329,1),(374,1)}
       349:{1,3,6}:{(316,1),(320,1),(330,1),(374,1)}
       350:{1,5,6}:{(317,1),(318,1),(372,1)}
       351:{1,2,4,6}:{(318,1),(319,1),(323,1),(333,1),(375,1),(376,1),(403,1)}
       352:{1,3,5,7}:{(319,1),(320,1),(334,1),(374,1),(376,1),(377,1),(404,1)}
       353:{1,3,4}:{(320,1),(325,1),(335,1)}
       354:{1,2,6,7}:{(321,1),(322,1),(323,1),(338,1)}
       355:{1,2,3,6}:{(323,1),(324,1),(376,1),(378,1)}
       356:{1,2,4,7}:{(324,1),(325,1),(377,1),(378,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(331,1),(336,1),(379,1),(406,1)}
       358:{1,3,5,7}:{(327,1),(328,1),(332,1),(339,1),(372,1),(379,1),(380,1),(405,1)}
       359:{2,4,6,7}:{(328,1),(329,1),(333,1),(338,1),(380,1),(381,1),(406,1)}
       360:{2,3,7}:{(329,1),(330,1),(341,1),(374,1)}
       361:{1,4,5,6}:{(331,1),(332,1),(379,1),(382,1),(387,1),(403,1)}
       362:{2,5,6}:{(332,1),(333,1),(380,1)}
       363:{2,3,6}:{(333,1),(334,1),(343,1),(376,1)}
       364:{2,3,4,7}:{(334,1),(335,1),(344,1),(377,1),(384,1),(406,1)}
       365:{1,4,6,7}:{(336,1),(337,1),(379,1),(385,1)}
       366:{2,5,6,7}:{(337,1),(338,1),(380,1),(385,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(342,1),(380,1),(386,1)}
       368:{1,3,6,7}:{(340,1),(341,1),(343,1),(381,1),(386,1)}
       369:{1,3,5,6}:{(342,1),(343,1),(383,1),(386,1),(387,1),(388,1)}
       370:{1,3,4,6}:{(343,1),(344,1),(345,1),(384,1),(387,1),(388,1)}
       371:{1,2,5}:{(345,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(350,1)}
       373:{1,2,4,6,7}:{(347,1),(348,1),(351,1),(354,1),(359,1),(389,1),(390,1),(409,1)}
       374:{1,3,7}:{(348,1),(349,1),(360,1)}
       375:{1,2,5,6}:{(350,1),(351,1),(362,1),(389,1),(391,1),(393,1)}
       376:{1,3,6}:{(351,1),(352,1),(363,1)}
       377:{1,3,4,7}:{(352,1),(353,1),(356,1),(364,1),(392,1),(409,1)}
       378:{1,2,4,6}:{(355,1),(356,1),(392,1),(393,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(361,1),(365,1),(394,1),(400,1),(409,1)}
       380:{2,5,7}:{(358,1),(359,1),(362,1)}
       381:{2,3,6,7}:{(359,1),(360,1),(363,1),(368,1),(390,1),(395,1),(399,1)}
       382:{2,4,5,6}:{(361,1),(362,1),(394,1),(396,1),(397,1)}
       383:{2,3,5,6}:{(362,1),(363,1),(369,1),(391,1),(395,1),(396,1),(397,1),(398,1)}
       384:{2,3,4,6}:{(363,1),(364,1),(370,1),(392,1),(397,1),(398,1)}
       385:{2,4,6,7}:{(365,1),(366,1),(394,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(395,1),(400,1)}
       387:{1,4,6}:{(369,1),(397,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(398,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(375,1),(380,1),(402,1)}
       390:{1,3,6,7}:{(373,1),(374,1),(376,1),(381,1),(402,1)}
       391:{1,3,5,6}:{(375,1),(376,1),(383,1),(402,1),(403,1),(404,1)}
       392:{1,3,4,6}:{(376,1),(377,1),(378,1),(384,1),(403,1),(404,1)}
       393:{1,2,5}:{(378,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(382,1),(385,1),(405,1),(406,1)}
       395:{2,3,5,7}:{(380,1),(381,1),(383,1),(386,1),(402,1),(405,1),(406,1)}
       396:{3,5,6}:{(382,1),(405,1),(407,1)}
       397:{2,4,6}:{(383,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       398:{2,3,5}:{(384,1),(388,1),(404,1),(408,1)}
       399:{3,6,7}:{(385,1),(405,1)}
       400:{1,4,7}:{(386,1),(387,1),(406,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(395,1),(409,1)}
       403:{1,4,6}:{(391,1),(397,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(398,1),(410,1)}
       405:{3,5,7}:{(394,1),(396,1),(399,1),(411,1)}
       406:{2,4,7}:{(395,1),(397,1),(400,1),(409,1),(411,1)}
       407:{3,4,6}:{(396,1),(397,1),(411,1),(412,1)}
       408:{2,4,5}:{(397,1),(398,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(406,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(407,1),(408,1)}

2036 :   0:{1,2,3,5}:{(2,1),(3,1),(19,1),(20,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(28,1),(67,1)}
         2:{1,2,3,6}:{(0,1),(8,1),(9,1),(36,1)}
         3:{1,2,4}:{(0,1),(7,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(41,1),(42,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(19,1),(41,1),(55,1),(82,1),(88,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(47,1),(89,1)}
         7:{1,3,4}:{(3,1),(13,1),(19,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(20,1),(21,1),(60,1)}
         9:{1,2,3,7}:{(2,1),(21,1),(58,1)}
        10:{1,2,4,5}:{(3,1),(14,1),(19,1),(20,1),(22,1),(55,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(63,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{2,3,4}:{(7,1),(23,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(36,1),(63,1),(77,1),(102,1),(107,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(70,1),(109,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(27,1),(34,1),(35,1),(36,1),(77,1),(80,1)}
        19:{1,3,5}:{(7,1),(10,1),(28,1),(36,1)}
        20:{1,2,5}:{(8,1),(34,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{1,2,4,6}:{(10,1),(29,1),(36,1),(37,1),(39,1),(77,1)}
        23:{1,3,4}:{(12,1),(13,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(40,1),(42,1),(43,1),(87,1)}
        25:{1,2,3,7}:{(11,1),(43,1),(85,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(41,1),(42,1),(44,1),(82,1)}
        27:{2,3,4,6}:{(13,1),(18,1),(40,1),(45,1),(46,1),(47,1),(89,1),(92,1)}
        28:{2,3,5}:{(13,1),(14,1),(19,1),(41,1),(47,1)}
        29:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(58,1),(85,1),(99,1),(118,1),(121,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(89,1),(124,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,5}:{(18,1),(20,1),(45,1),(55,1)}
        35:{1,3,4,7}:{(18,1),(21,1),(46,1),(57,1),(58,1),(99,1)}
        36:{1,3,6}:{(19,1),(22,1),(47,1),(58,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(48,1),(56,1),(59,1),(60,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(57,1),(60,1)}
        39:{1,2,4,7}:{(22,1),(49,1),(58,1),(59,1),(99,1)}
        40:{1,3,4,6}:{(23,1),(24,1),(27,1),(61,1),(62,1),(63,1),(102,1),(105,1)}
        41:{1,3,5}:{(23,1),(26,1),(28,1),(63,1)}
        42:{1,2,5}:{(24,1),(61,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(62,1),(65,1)}
        44:{1,2,4,6}:{(26,1),(29,1),(63,1),(64,1),(66,1),(102,1)}
        45:{2,3,5}:{(27,1),(34,1),(61,1),(67,1)}
        46:{2,3,4,7}:{(27,1),(35,1),(62,1),(69,1),(70,1),(109,1)}
        47:{2,3,6}:{(28,1),(29,1),(36,1),(63,1),(70,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(70,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(77,1),(102,1),(117,1),(130,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(107,1),(132,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(109,1),(133,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,4,5}:{(34,1),(67,1),(77,1)}
        56:{1,3,5,6}:{(34,1),(36,1),(37,1),(68,1),(77,1),(79,1),(80,1),(117,1)}
        57:{1,3,5,7}:{(34,1),(35,1),(38,1),(69,1),(78,1),(80,1)}
        58:{1,3,7}:{(36,1),(39,1),(70,1)}
        59:{1,2,5,7}:{(37,1),(39,1),(72,1),(79,1),(81,1)}
        60:{1,2,6}:{(38,1),(80,1)}
        61:{1,3,5}:{(40,1),(42,1),(45,1),(82,1)}
        62:{1,3,4,7}:{(40,1),(43,1),(46,1),(84,1),(85,1),(118,1)}
        63:{1,3,6}:{(41,1),(44,1),(47,1),(85,1)}
        64:{1,2,5,6}:{(42,1),(44,1),(48,1),(83,1),(86,1),(87,1)}
        65:{1,2,5,7}:{(42,1),(43,1),(84,1),(87,1)}
        66:{1,2,4,7}:{(44,1),(49,1),(85,1),(86,1),(118,1)}
        67:{2,4,5}:{(45,1),(55,1),(82,1),(88,1),(89,1)}
        68:{2,3,5,6}:{(45,1),(47,1),(48,1),(56,1),(83,1),(89,1),(91,1),(92,1),(93,1),(124,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(57,1),(84,1),(90,1),(92,1)}
        70:{2,3,7}:{(47,1),(49,1),(58,1),(85,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(89,1),(93,1),(94,1),(124,1),(137,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(99,1),(118,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(121,1),(136,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,6}:{(55,1),(56,1),(89,1),(99,1)}
        78:{1,4,5,7}:{(55,1),(57,1),(90,1),(99,1),(100,1),(128,1)}
        79:{1,3,5,7}:{(56,1),(58,1),(59,1),(91,1),(99,1),(101,1),(128,1)}
        80:{1,3,6}:{(57,1),(60,1),(92,1),(100,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(101,1)}
        82:{1,4,5}:{(61,1),(67,1),(102,1)}
        83:{1,3,5,6}:{(61,1),(63,1),(64,1),(68,1),(102,1),(104,1),(105,1),(130,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(65,1),(69,1),(103,1),(105,1)}
        85:{1,3,7}:{(63,1),(66,1),(70,1)}
        86:{1,2,5,7}:{(64,1),(66,1),(72,1),(104,1),(106,1)}
        87:{1,2,6}:{(65,1),(105,1)}
        88:{3,4,5}:{(67,1),(107,1)}
        89:{2,4,6}:{(67,1),(68,1),(77,1),(102,1),(107,1),(109,1)}
        90:{2,4,5,7}:{(67,1),(69,1),(78,1),(103,1),(108,1),(109,1),(110,1),(133,1)}
        91:{2,3,5,7}:{(68,1),(70,1),(72,1),(79,1),(104,1),(109,1),(111,1),(112,1),(133,1)}
        92:{2,3,6}:{(69,1),(80,1),(105,1),(110,1)}
        93:{3,5,6}:{(71,1),(107,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(109,1),(112,1),(113,1),(133,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(133,1)}
        99:{1,4,7}:{(77,1),(79,1),(109,1)}
       100:{1,4,6}:{(78,1),(80,1),(110,1),(117,1)}
       101:{1,3,6,7}:{(79,1),(80,1),(81,1),(111,1),(116,1)}
       102:{1,4,6}:{(82,1),(83,1),(89,1),(118,1)}
       103:{1,4,5,7}:{(82,1),(84,1),(90,1),(118,1),(119,1),(135,1)}
       104:{1,3,5,7}:{(83,1),(85,1),(86,1),(91,1),(118,1),(120,1),(135,1)}
       105:{1,3,6}:{(84,1),(87,1),(92,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(120,1)}
       107:{3,4,6}:{(88,1),(89,1),(93,1),(121,1)}
       108:{3,4,5,7}:{(88,1),(90,1),(121,1),(122,1),(136,1)}
       109:{2,4,7}:{(89,1),(91,1),(99,1),(118,1),(121,1)}
       110:{2,4,6}:{(90,1),(92,1),(100,1),(119,1),(122,1),(124,1)}
       111:{2,3,6,7}:{(91,1),(92,1),(95,1),(101,1),(120,1),(123,1),(125,1)}
       112:{3,5,7}:{(93,1),(94,1),(121,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(136,1)}
       116:{1,4,6,7}:{(99,1),(100,1),(101,1),(123,1),(128,1)}
       117:{1,5,6}:{(100,1),(124,1),(128,1)}
       118:{1,4,7}:{(102,1),(104,1),(109,1)}
       119:{1,4,6}:{(103,1),(105,1),(110,1),(130,1)}
       120:{1,3,6,7}:{(104,1),(105,1),(106,1),(111,1),(129,1)}
       121:{3,4,7}:{(107,1),(109,1),(112,1)}
       122:{3,4,6}:{(108,1),(110,1),(132,1)}
       123:{2,4,6,7}:{(109,1),(110,1),(111,1),(116,1),(129,1),(131,1),(133,1)}
       124:{2,5,6}:{(110,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(133,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(133,1)}
       129:{1,4,6,7}:{(118,1),(119,1),(120,1),(123,1),(135,1)}
       130:{1,5,6}:{(119,1),(124,1),(135,1)}
       131:{3,4,6,7}:{(121,1),(122,1),(123,1),(125,1),(136,1),(138,1)}
       132:{3,5,6}:{(122,1),(124,1),(136,1),(137,1)}
       133:{2,5,7}:{(123,1),(124,1),(128,1),(135,1),(136,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(136,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(133,1)}
       136:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       137:{4,5,6}:{(132,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2037 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(40,1),(48,1),(79,1),(87,1),(89,1),(92,1),(144,1),(185,1),(189,1),(224,1),(225,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(63,1),(105,1),(118,1),(161,1),(168,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(63,1),(67,1),(106,1),(115,1),(161,1),(167,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(60,1),(108,1),(114,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(41,1),(78,1),(134,1),(141,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(42,1),(92,1),(144,1),(189,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(226,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(38,1),(84,1),(87,1),(88,1),(89,1),(144,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(65,1),(103,1),(119,1),(160,1),(168,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(54,1),(56,1),(63,1),(103,1),(111,1),(168,1),(169,1),(209,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(166,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(114,1),(209,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(207,1),(210,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(63,1),(115,1),(116,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(60,1),(123,1),(235,1),(236,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(60,1),(70,1),(114,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(43,1),(76,1),(90,1),(141,1),(148,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(189,1),(220,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(33,1),(35,1),(36,1),(139,1),(189,1),(192,1)}
        21:{2,3,4,6}:{(16,1),(37,1),(38,1),(39,1),(84,1),(88,1),(146,1),(193,1),(226,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(40,1),(41,1),(134,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(36,1),(41,1),(42,1),(44,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(42,1),(43,1),(84,1),(144,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(41,1),(44,1),(45,1),(80,1),(85,1),(140,1),(150,1),(190,1),(195,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(90,1),(94,1)}
        28:{2,4,5}:{(15,1),(16,1),(38,1),(48,1),(87,1),(146,1)}
        29:{1,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(87,1),(144,1)}
        31:{1,2,4,5,6}:{(32,1),(50,1),(75,1),(97,1),(133,1),(147,1),(153,1),(182,1),(189,1),(194,1),(196,1),(197,1),(220,1),(227,1),(244,1)}
        32:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(52,1),(100,1),(103,1),(119,1),(158,1),(167,1),(173,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(20,1),(52,1),(166,1),(173,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(209,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1),(56,1),(63,1),(103,1)}
        36:{3,4,6,7}:{(20,1),(56,1),(109,1),(209,1),(210,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(58,1),(59,1),(116,1),(171,1),(210,1)}
        38:{2,3,5}:{(21,1),(28,1),(60,1),(212,1),(236,1)}
        39:{1,3,4,6}:{(21,1),(29,1),(59,1),(60,1),(61,1),(70,1),(108,1),(114,1),(123,1),(165,1),(208,1)}
        40:{1,4,5,6}:{(22,1),(55,1),(62,1),(160,1),(166,1),(213,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(56,1),(62,1),(63,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(26,1),(63,1),(64,1),(66,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(64,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(25,1),(62,1),(66,1),(109,1),(114,1),(166,1),(209,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(28,1),(58,1),(63,1),(66,1),(67,1),(115,1),(171,1),(212,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,5,7}:{(27,1),(30,1),(65,1),(68,1),(115,1)}
        48:{1,4,5}:{(28,1),(29,1),(60,1),(165,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(61,1),(68,1),(69,1),(70,1)}
        50:{1,3,5,6}:{(31,1),(51,1),(71,1),(72,1),(175,1),(201,1),(209,1),(215,1),(236,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(50,1),(73,1),(74,1),(190,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(35,1),(75,1),(76,1),(90,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(36,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{2,4,5,6}:{(35,1),(40,1),(75,1),(81,1),(89,1),(133,1),(139,1),(189,1),(227,1)}
        56:{3,5,7}:{(35,1),(36,1),(81,1)}
        57:{2,3,4,6,7}:{(36,1),(37,1),(42,1),(77,1),(82,1),(83,1),(84,1),(128,1),(139,1),(143,1),(179,1),(192,1),(193,1),(226,1),(240,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(84,1),(85,1),(190,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(94,1),(137,1),(188,1)}
        60:{1,3,5}:{(38,1),(39,1),(48,1),(87,1),(225,1)}
        61:{2,4,6}:{(39,1),(86,1),(87,1),(88,1),(144,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(81,1),(89,1),(195,1)}
        63:{2,5,7}:{(41,1),(42,1),(89,1),(90,1)}
        64:{1,4,6,7}:{(42,1),(43,1),(46,1),(90,1),(92,1)}
        65:{1,2,6,7}:{(43,1),(47,1),(144,1)}
        66:{2,4,6}:{(44,1),(45,1),(84,1),(89,1),(92,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(48,1),(85,1),(90,1),(92,1),(188,1),(225,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(86,1),(94,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(87,1),(95,1),(146,1)}
        70:{1,3,6}:{(49,1),(88,1),(94,1),(95,1)}
        71:{1,3,4,6}:{(50,1),(73,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(74,1),(97,1),(98,1),(133,1),(151,1),(179,1),(197,1),(198,1),(220,1)}
        73:{1,3,4,7}:{(51,1),(71,1),(100,1),(173,1),(210,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(72,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(55,1),(102,1),(118,1),(166,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(56,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(61,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{3,4,5,7}:{(56,1),(109,1),(110,1),(210,1),(236,1)}
        81:{3,5,6}:{(55,1),(56,1),(109,1),(209,1),(236,1)}
        82:{2,3,5,7}:{(56,1),(57,1),(63,1),(103,1),(110,1),(111,1),(112,1),(212,1),(236,1),(243,1)}
        83:{1,3,4,6,7}:{(57,1),(59,1),(64,1),(104,1),(112,1),(113,1),(114,1),(120,1),(156,1),(162,1),(166,1),(173,1),(174,1),(201,1),(207,1),(208,1),(209,1),(210,1),(234,1),(242,1)}
        84:{2,3,6}:{(58,1),(66,1),(114,1),(209,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(114,1),(115,1)}
        86:{2,4,7}:{(59,1),(61,1),(115,1),(116,1)}
        87:{2,5}:{(60,1),(61,1)}
        88:{2,3,6}:{(61,1),(70,1),(108,1),(116,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(212,1)}
        90:{1,5,7}:{(63,1),(64,1),(118,1)}
        91:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(113,1),(119,1),(120,1),(121,1),(173,1),(200,1),(230,1),(242,1)}
        92:{1,4,6}:{(66,1),(67,1),(114,1),(118,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(115,1),(119,1),(121,1),(122,1),(167,1),(171,1),(173,1),(212,1),(213,1)}
        94:{1,3,7}:{(68,1),(70,1),(116,1)}
        95:{1,3,5}:{(69,1),(70,1),(117,1),(123,1)}
        96:{1,3,4,5}:{(71,1),(125,1),(175,1),(213,1),(217,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(100,1),(125,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(101,1),(126,1),(127,1),(160,1),(175,1),(178,1),(201,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(96,1),(129,1),(130,1),(140,1),(180,1),(190,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(97,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(98,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(81,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(86,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(87,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(88,1),(137,1),(138,1)}
       109:{3,4,6}:{(80,1),(81,1),(139,1)}
       110:{2,4,5,7}:{(80,1),(82,1),(139,1),(140,1),(192,1),(227,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(84,1),(89,1),(133,1),(139,1),(141,1),(179,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(90,1),(134,1),(140,1),(141,1),(142,1),(190,1),(195,1),(225,1),(241,1),(244,1)}
       113:{2,4,6,7}:{(83,1),(86,1),(142,1),(143,1),(144,1),(181,1),(189,1),(192,1),(193,1),(220,1),(240,1)}
       114:{1,3,6}:{(84,1),(85,1),(92,1),(144,1)}
       115:{2,5,7}:{(85,1),(86,1),(87,1),(144,1)}
       116:{2,3,7}:{(86,1),(88,1),(94,1),(137,1)}
       117:{2,3,5}:{(87,1),(88,1),(95,1),(138,1),(146,1)}
       118:{1,5,6}:{(89,1),(90,1),(92,1),(225,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(142,1),(147,1),(148,1),(244,1)}
       120:{1,3,6,7}:{(91,1),(94,1),(143,1),(148,1),(149,1),(219,1),(238,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(144,1),(147,1),(149,1),(189,1),(193,1),(194,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(95,1),(145,1),(149,1),(150,1),(190,1),(195,1)}
       123:{1,3,4}:{(95,1),(146,1)}
       124:{2,3,4,6}:{(97,1),(128,1),(151,1),(152,1),(179,1),(198,1),(226,1),(229,1),(240,1)}
       125:{2,4,5}:{(96,1),(97,1),(151,1),(153,1),(197,1),(229,1)}
       126:{1,4,6}:{(97,1),(98,1),(131,1),(153,1)}
       127:{1,2,5,6}:{(98,1),(132,1),(154,1),(197,1),(220,1)}
       128:{2,3,4,7}:{(100,1),(124,1),(155,1),(156,1),(203,1),(210,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(109,1),(157,1),(166,1),(201,1),(209,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(125,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(126,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(127,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(113,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(115,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(116,1)}
       138:{1,3,5}:{(107,1),(108,1),(117,1),(165,1)}
       139:{2,4,6}:{(109,1),(110,1),(111,1),(166,1)}
       140:{1,4,5,7}:{(110,1),(112,1),(166,1),(167,1),(173,1),(207,1),(213,1),(235,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(160,1),(166,1),(168,1),(201,1),(209,1)}
       142:{2,5,7}:{(112,1),(113,1),(168,1),(212,1),(243,1)}
       143:{2,3,6,7}:{(113,1),(116,1),(120,1),(162,1),(169,1),(170,1),(203,1),(209,1),(232,1)}
       144:{2,6}:{(114,1),(115,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(122,1),(164,1),(170,1),(171,1),(212,1)}
       146:{2,4}:{(117,1),(123,1),(165,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(121,1),(168,1),(172,1),(212,1),(230,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(169,1),(172,1),(173,1)}
       149:{1,3,6}:{(121,1),(122,1),(170,1),(209,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(171,1),(173,1),(174,1),(210,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,3,4,6}:{(124,1),(126,1),(156,1),(175,1),(176,1),(178,1),(201,1),(215,1),(217,1),(237,1),(242,1)}
       153:{1,4,5}:{(125,1),(126,1),(175,1),(237,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(159,1),(176,1),(177,1),(178,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(151,1),(179,1),(180,1),(190,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(152,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(153,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(154,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(142,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(143,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(144,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(146,1)}
       166:{1,4,6}:{(139,1),(140,1),(141,1),(189,1)}
       167:{2,4,5,7}:{(140,1),(142,1),(189,1),(190,1),(192,1),(227,1)}
       168:{2,5,6}:{(141,1),(142,1),(144,1),(189,1),(220,1)}
       169:{2,3,5,7}:{(142,1),(143,1),(148,1),(186,1),(190,1),(191,1),(192,1)}
       170:{2,3,6}:{(144,1),(145,1),(149,1),(187,1),(193,1)}
       171:{2,4,7}:{(145,1),(146,1),(150,1),(188,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(149,1),(191,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,4,7}:{(148,1),(192,1),(194,1)}
       174:{1,3,4,6}:{(149,1),(150,1),(193,1),(194,1),(195,1),(226,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(197,1),(244,1)}
       176:{2,4,6}:{(152,1),(181,1),(197,1),(198,1),(220,1),(229,1)}
       177:{1,2,4,5}:{(153,1),(154,1),(197,1),(199,1),(229,1)}
       178:{1,3,6}:{(154,1),(184,1),(198,1),(199,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(209,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(175,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(176,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(177,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(178,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(168,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(169,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(170,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(171,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       190:{3,5,7}:{(167,1),(209,1),(210,1),(236,1)}
       191:{2,3,5,6}:{(168,1),(169,1),(170,1),(172,1),(206,1),(209,1),(211,1),(212,1),(232,1),(236,1),(243,1)}
       192:{2,4,7}:{(169,1),(173,1),(207,1),(210,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(208,1),(212,1)}
       194:{1,4,6}:{(172,1),(173,1),(211,1),(213,1)}
       195:{1,3,5}:{(174,1),(212,1),(213,1),(236,1)}
       196:{1,2,4,6}:{(176,1),(200,1),(214,1),(215,1),(230,1),(237,1),(242,1)}
       197:{2,5}:{(175,1),(176,1)}
       198:{2,3,6}:{(176,1),(178,1),(203,1),(215,1),(216,1)}
       199:{1,3,5}:{(177,1),(178,1),(216,1),(217,1)}
       200:{1,2,4,7}:{(181,1),(196,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(197,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(198,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(189,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(190,1),(199,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(191,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(192,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(193,1),(225,1)}
       209:{3,6}:{(189,1),(190,1)}
       210:{3,4,7}:{(190,1),(192,1),(226,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(224,1),(226,1),(227,1)}
       212:{2,5}:{(193,1),(195,1),(225,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(197,1),(228,1),(244,1)}
       215:{1,3,6}:{(196,1),(198,1),(219,1),(228,1)}
       216:{2,3,5}:{(197,1),(198,1),(199,1),(228,1),(229,1)}
       217:{1,3,4}:{(199,1),(229,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(214,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(215,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(216,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(209,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(210,1),(217,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(211,1),(235,1)}
       225:{1,5}:{(208,1),(212,1)}
       226:{3,4,6}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4,5}:{(211,1),(212,1),(213,1),(235,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(216,1),(237,1)}
       229:{2,4}:{(216,1),(217,1),(237,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(228,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(229,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(226,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(237,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(236,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2038 :   0:{1,2,5,6,7}:{(1,1),(2,1),(48,1),(86,1),(101,1),(143,1),(151,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(29,1),(60,1),(114,1),(122,1),(172,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(128,1),(177,1),(183,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(28,1),(33,1),(73,1),(78,1),(128,1),(133,1),(134,1),(171,1),(177,1),(183,1),(218,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(84,1),(102,1),(142,1),(151,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(48,1),(84,1),(93,1),(151,1),(152,1),(202,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(45,1),(48,1),(99,1),(143,1),(150,1),(153,1),(155,1),(197,1)}
         7:{1,4,6,7}:{(1,1),(13,1),(15,1),(149,1),(197,1)}
         8:{1,3,6,7}:{(2,1),(14,1),(17,1),(154,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(14,1),(18,1),(19,1),(104,1),(154,1),(162,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(21,1),(22,1),(31,1),(58,1),(74,1),(122,1),(132,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(59,1),(168,1),(177,1),(214,1)}
        12:{1,2,4,5,6}:{(20,1),(23,1),(57,1),(62,1),(113,1),(118,1),(131,1),(168,1),(173,1),(174,1),(177,1),(187,1),(214,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(21,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(9,1),(26,1),(27,1),(178,1),(182,1)}
        15:{1,4,5,7}:{(7,1),(24,1),(28,1),(29,1),(114,1)}
        16:{1,3,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(29,1),(30,1),(69,1)}
        17:{2,3,6,7}:{(8,1),(27,1),(30,1),(31,1),(125,1),(183,1)}
        18:{1,3,4,6}:{(9,1),(26,1),(32,1),(33,1),(218,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(33,1),(34,1),(73,1),(76,1),(125,1),(134,1),(135,1),(183,1)}
        20:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(36,1),(81,1),(84,1),(102,1),(140,1),(150,1),(160,1),(190,1),(192,1)}
        21:{1,4,6,7}:{(10,1),(13,1),(36,1),(149,1),(160,1)}
        22:{1,3,6,7}:{(11,1),(35,1),(38,1),(191,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(35,1),(39,1),(40,1),(145,1),(191,1),(199,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(15,1),(36,1),(41,1),(42,1),(48,1),(84,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(203,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(45,1),(197,1),(203,1)}
        27:{2,3,5,7}:{(14,1),(17,1),(19,1),(45,1),(46,1),(48,1),(155,1),(156,1)}
        28:{1,4,5,6}:{(15,1),(41,1),(47,1),(142,1),(149,1),(210,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1)}
        30:{2,4,6,7}:{(16,1),(17,1),(45,1),(48,1),(49,1),(98,1)}
        31:{1,3,6,7}:{(17,1),(46,1),(49,1),(50,1),(154,1)}
        32:{1,3,4,5}:{(18,1),(52,1),(104,1),(164,1),(232,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(45,1),(52,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(46,1),(53,1),(54,1),(101,1),(104,1),(107,1),(154,1)}
        35:{1,3,5,7}:{(20,1),(22,1),(23,1),(55,1),(56,1),(178,1),(213,1)}
        36:{1,4,5,7}:{(21,1),(24,1),(57,1),(58,1),(74,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(55,1),(58,1),(59,1),(109,1)}
        38:{2,3,6,7}:{(22,1),(56,1),(59,1),(60,1),(165,1),(214,1)}
        39:{1,3,4,6}:{(23,1),(55,1),(61,1),(62,1),(187,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(56,1),(62,1),(63,1),(113,1),(116,1),(165,1),(174,1),(175,1),(214,1)}
        41:{2,4,5,6}:{(24,1),(28,1),(57,1),(65,1),(73,1),(113,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(65,1)}
        43:{2,3,4,6,7}:{(25,1),(30,1),(59,1),(66,1),(67,1),(68,1),(108,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(225,1),(239,1)}
        44:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(64,1),(69,1),(70,1),(121,1),(126,1),(178,1),(186,1),(226,1)}
        45:{2,4,7}:{(26,1),(27,1),(33,1),(71,1)}
        46:{1,3,5,7}:{(27,1),(31,1),(34,1),(71,1),(72,1),(74,1),(130,1)}
        47:{1,3,5,6}:{(28,1),(29,1),(65,1),(69,1),(73,1),(226,1)}
        48:{2,5,7}:{(29,1),(30,1),(73,1),(74,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(71,1),(74,1),(128,1)}
        50:{1,2,6,7}:{(31,1),(72,1),(183,1)}
        51:{2,3,4,6}:{(33,1),(68,1),(76,1),(77,1),(125,1),(135,1),(189,1),(221,1),(225,1)}
        52:{2,4,5}:{(32,1),(33,1),(76,1),(78,1),(134,1),(189,1)}
        53:{1,4,6}:{(33,1),(34,1),(71,1),(78,1)}
        54:{1,2,5,6}:{(34,1),(72,1),(79,1),(134,1),(183,1)}
        55:{1,3,4,7}:{(35,1),(39,1),(81,1),(160,1),(203,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(40,1),(81,1),(82,1),(84,1),(192,1),(193,1)}
        57:{1,4,5,6}:{(36,1),(41,1),(83,1),(101,1),(149,1),(232,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(42,1),(83,1),(84,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(81,1),(84,1),(85,1),(139,1)}
        60:{1,3,6,7}:{(38,1),(82,1),(85,1),(86,1),(191,1)}
        61:{1,3,4,5}:{(39,1),(88,1),(145,1),(201,1),(210,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(81,1),(88,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(82,1),(89,1),(90,1),(142,1),(145,1),(148,1),(191,1)}
        64:{3,4,5,7}:{(42,1),(91,1),(92,1),(203,1),(234,1)}
        65:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(48,1),(84,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(49,1),(85,1),(94,1),(95,1),(97,1),(103,1),(138,1),(144,1),(149,1),(154,1),(160,1),(191,1),(197,1),(202,1),(203,1),(209,1),(231,1),(235,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(51,1),(96,1),(97,1),(156,1),(203,1),(208,1)}
        69:{1,3,4,6}:{(44,1),(47,1),(91,1),(98,1),(149,1),(154,1),(202,1)}
        70:{2,4,5,7}:{(44,1),(45,1),(48,1),(52,1),(96,1),(98,1),(99,1),(155,1),(208,1),(236,1)}
        71:{1,4,7}:{(45,1),(46,1),(53,1)}
        72:{1,2,5,7}:{(46,1),(50,1),(54,1),(100,1),(155,1)}
        73:{2,5,6}:{(47,1),(48,1),(98,1),(101,1),(236,1)}
        74:{1,5,7}:{(48,1),(49,1),(101,1)}
        75:{1,2,4,6,7}:{(49,1),(50,1),(95,1),(100,1),(102,1),(103,1),(157,1),(160,1),(190,1),(227,1),(242,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,3,4,6}:{(51,1),(53,1),(97,1),(104,1),(105,1),(107,1),(154,1),(162,1),(164,1),(211,1),(235,1)}
        78:{1,4,5}:{(52,1),(53,1),(104,1),(211,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(100,1),(105,1),(106,1),(107,1)}
        80:{1,3,4,5,7}:{(55,1),(58,1),(61,1),(64,1),(109,1),(110,1),(121,1),(166,1),(178,1),(217,1),(240,1)}
        81:{2,4,7}:{(55,1),(56,1),(62,1),(111,1)}
        82:{1,3,5,7}:{(56,1),(60,1),(63,1),(111,1),(112,1),(114,1),(170,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(65,1),(109,1),(113,1),(240,1)}
        84:{2,5,7}:{(58,1),(59,1),(113,1),(114,1)}
        85:{1,4,6,7}:{(59,1),(60,1),(111,1),(114,1),(168,1)}
        86:{1,2,6,7}:{(60,1),(112,1),(214,1)}
        87:{2,3,4,6}:{(62,1),(108,1),(116,1),(117,1),(165,1),(175,1),(220,1),(221,1),(239,1)}
        88:{2,4,5}:{(61,1),(62,1),(116,1),(118,1),(174,1),(220,1)}
        89:{1,4,6}:{(62,1),(63,1),(111,1),(118,1)}
        90:{1,2,5,6}:{(63,1),(112,1),(119,1),(174,1),(214,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,4,5,7}:{(64,1),(66,1),(120,1),(121,1),(180,1),(222,1)}
        93:{2,3,5,6}:{(65,1),(66,1),(73,1),(113,1),(120,1),(122,1),(125,1),(165,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(74,1),(114,1),(121,1),(122,1),(123,1),(178,1),(226,1),(240,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(127,1),(167,1),(177,1),(180,1),(183,1),(214,1),(225,1),(239,1)}
        96:{2,3,5,7}:{(68,1),(70,1),(76,1),(125,1),(126,1),(178,1)}
        97:{1,3,4,7}:{(68,1),(71,1),(77,1),(126,1),(127,1),(130,1),(182,1),(224,1)}
        98:{2,4,6}:{(69,1),(70,1),(73,1),(125,1),(128,1),(183,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(78,1),(126,1),(128,1),(224,1),(241,1)}
       100:{1,2,4,7}:{(71,1),(72,1),(79,1),(127,1),(130,1)}
       101:{1,5,6}:{(73,1),(74,1),(128,1),(241,1)}
       102:{1,2,5,7}:{(74,1),(75,1),(123,1),(131,1),(132,1),(244,1)}
       103:{1,3,6,7}:{(75,1),(124,1),(130,1),(132,1),(185,1),(213,1),(237,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(134,1),(241,1)}
       105:{2,4,6}:{(77,1),(127,1),(134,1),(135,1),(183,1),(189,1)}
       106:{1,2,4,5}:{(78,1),(79,1),(134,1),(136,1),(189,1)}
       107:{1,3,6}:{(79,1),(130,1),(135,1),(136,1)}
       108:{2,3,4,7}:{(81,1),(87,1),(137,1),(138,1),(193,1),(203,1),(230,1)}
       109:{1,3,4,6}:{(80,1),(83,1),(91,1),(139,1),(149,1),(191,1),(202,1)}
       110:{2,4,5,7}:{(80,1),(81,1),(84,1),(88,1),(137,1),(139,1),(140,1),(192,1),(230,1),(243,1)}
       111:{1,4,7}:{(81,1),(82,1),(89,1)}
       112:{1,2,5,7}:{(82,1),(86,1),(90,1),(141,1),(192,1)}
       113:{2,5,6}:{(83,1),(84,1),(139,1),(142,1),(243,1)}
       114:{1,5,7}:{(84,1),(85,1),(142,1)}
       115:{1,2,4,6,7}:{(85,1),(86,1),(95,1),(141,1),(143,1),(144,1),(153,1),(194,1),(197,1),(205,1),(235,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,3,4,6}:{(87,1),(89,1),(138,1),(145,1),(146,1),(148,1),(191,1),(199,1),(201,1),(233,1),(242,1)}
       118:{1,4,5}:{(88,1),(89,1),(145,1),(233,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(141,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,4,5,7}:{(92,1),(94,1),(149,1),(150,1),(160,1),(197,1),(210,1),(232,1)}
       122:{1,3,5,6}:{(93,1),(94,1),(101,1),(142,1),(149,1),(151,1),(154,1),(191,1),(202,1)}
       123:{2,5,7}:{(94,1),(95,1),(151,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(103,1),(144,1),(152,1),(156,1),(193,1),(202,1),(207,1),(229,1)}
       125:{2,3,6}:{(96,1),(98,1),(154,1),(202,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(99,1),(104,1),(154,1),(155,1)}
       127:{2,4,7}:{(97,1),(105,1),(155,1),(156,1)}
       128:{1,4,6}:{(98,1),(99,1),(101,1),(154,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(102,1),(106,1),(150,1),(155,1),(157,1),(158,1),(160,1),(208,1),(210,1),(236,1)}
       130:{1,3,7}:{(100,1),(107,1),(156,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(151,1),(157,1),(159,1),(227,1),(236,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(152,1),(159,1),(160,1)}
       133:{1,2,4,6}:{(105,1),(153,1),(161,1),(162,1),(205,1),(211,1),(235,1)}
       134:{2,5}:{(104,1),(105,1)}
       135:{2,3,6}:{(105,1),(107,1),(156,1),(162,1),(163,1)}
       136:{1,3,5}:{(106,1),(107,1),(163,1),(164,1)}
       137:{2,3,5,7}:{(108,1),(110,1),(116,1),(165,1),(166,1),(178,1)}
       138:{1,3,4,7}:{(108,1),(111,1),(117,1),(166,1),(167,1),(170,1),(213,1),(238,1)}
       139:{2,4,6}:{(109,1),(110,1),(113,1),(165,1),(168,1),(214,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(118,1),(166,1),(168,1),(238,1),(244,1)}
       141:{1,2,4,7}:{(111,1),(112,1),(119,1),(167,1),(170,1)}
       142:{1,5,6}:{(113,1),(114,1),(168,1),(244,1)}
       143:{1,2,5,7}:{(114,1),(115,1),(123,1),(171,1),(172,1),(241,1)}
       144:{1,3,6,7}:{(115,1),(124,1),(170,1),(172,1),(182,1),(216,1),(223,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(174,1),(244,1)}
       146:{2,4,6}:{(117,1),(167,1),(174,1),(175,1),(214,1),(220,1)}
       147:{1,2,4,5}:{(118,1),(119,1),(174,1),(176,1),(220,1)}
       148:{1,3,6}:{(119,1),(170,1),(175,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,4,5,7}:{(121,1),(123,1),(177,1),(178,1),(180,1),(222,1)}
       151:{2,5,6}:{(122,1),(123,1),(177,1),(183,1),(214,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(132,1),(172,1),(178,1),(179,1),(180,1)}
       153:{1,2,4,7}:{(127,1),(133,1),(181,1),(182,1),(224,1)}
       154:{1,3,6}:{(125,1),(126,1),(128,1),(183,1)}
       155:{2,5,7}:{(126,1),(127,1),(134,1),(183,1)}
       156:{2,3,7}:{(127,1),(130,1),(135,1),(182,1)}
       157:{1,2,4,6}:{(128,1),(129,1),(131,1),(177,1),(183,1),(185,1),(187,1),(225,1)}
       158:{1,3,5,7}:{(129,1),(130,1),(136,1),(178,1),(184,1),(185,1),(186,1),(226,1)}
       159:{1,3,5,6}:{(131,1),(132,1),(179,1),(185,1),(187,1),(226,1),(237,1),(244,1)}
       160:{1,4,7}:{(132,1),(180,1),(187,1)}
       161:{1,2,5}:{(133,1),(134,1),(188,1),(241,1)}
       162:{1,3,6}:{(133,1),(135,1),(182,1),(188,1)}
       163:{2,3,5}:{(134,1),(135,1),(136,1),(188,1),(189,1)}
       164:{1,3,4}:{(136,1),(189,1)}
       165:{2,3,6}:{(137,1),(139,1),(191,1),(202,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(140,1),(145,1),(191,1),(192,1)}
       167:{2,4,7}:{(138,1),(146,1),(192,1),(193,1)}
       168:{1,4,6}:{(139,1),(140,1),(142,1),(191,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(143,1),(147,1),(150,1),(192,1),(194,1),(195,1),(197,1),(230,1),(232,1),(243,1)}
       170:{1,3,7}:{(141,1),(148,1),(193,1)}
       171:{1,2,5,6}:{(142,1),(143,1),(151,1),(194,1),(196,1),(205,1),(243,1)}
       172:{1,3,5,7}:{(143,1),(144,1),(152,1),(196,1),(197,1)}
       173:{1,2,4,6}:{(146,1),(190,1),(198,1),(199,1),(227,1),(233,1),(242,1)}
       174:{2,5}:{(145,1),(146,1)}
       175:{2,3,6}:{(146,1),(148,1),(193,1),(199,1),(200,1)}
       176:{1,3,5}:{(147,1),(148,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{3,5,7}:{(150,1),(202,1),(203,1),(234,1)}
       179:{2,3,5,6}:{(151,1),(152,1),(159,1),(196,1),(202,1),(204,1),(207,1),(229,1),(234,1),(236,1),(243,1)}
       180:{2,4,7}:{(152,1),(160,1),(197,1),(203,1),(204,1)}
       181:{1,2,5,7}:{(153,1),(155,1),(161,1),(205,1),(206,1)}
       182:{1,3,7}:{(153,1),(156,1),(162,1)}
       183:{2,6}:{(154,1),(155,1)}
       184:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(206,1),(207,1),(208,1),(236,1)}
       185:{1,3,6}:{(157,1),(158,1),(202,1),(207,1)}
       186:{1,3,4,7}:{(158,1),(160,1),(164,1),(203,1),(208,1),(209,1)}
       187:{1,4,6}:{(159,1),(160,1),(204,1),(210,1)}
       188:{1,3,5}:{(161,1),(162,1),(163,1),(211,1)}
       189:{2,4}:{(163,1),(164,1),(211,1)}
       190:{1,2,4,7}:{(167,1),(173,1),(212,1),(213,1),(238,1)}
       191:{1,3,6}:{(165,1),(166,1),(168,1),(214,1)}
       192:{2,5,7}:{(166,1),(167,1),(174,1),(214,1)}
       193:{2,3,7}:{(167,1),(170,1),(175,1),(213,1)}
       194:{1,2,4,6}:{(168,1),(169,1),(171,1),(177,1),(214,1),(216,1),(218,1),(239,1)}
       195:{1,3,5,7}:{(169,1),(170,1),(176,1),(178,1),(215,1),(216,1),(217,1),(240,1)}
       196:{1,3,5,6}:{(171,1),(172,1),(179,1),(216,1),(218,1),(223,1),(240,1),(241,1)}
       197:{1,4,7}:{(172,1),(180,1),(218,1)}
       198:{1,2,5}:{(173,1),(174,1),(219,1),(244,1)}
       199:{1,3,6}:{(173,1),(175,1),(213,1),(219,1)}
       200:{2,3,5}:{(174,1),(175,1),(176,1),(219,1),(220,1)}
       201:{1,3,4}:{(176,1),(220,1)}
       202:{3,6}:{(177,1),(178,1)}
       203:{3,4,7}:{(178,1),(180,1),(221,1)}
       204:{2,4,6}:{(179,1),(180,1),(187,1),(218,1),(221,1),(222,1)}
       205:{1,2,6}:{(181,1),(183,1),(223,1)}
       206:{1,3,5,7}:{(181,1),(182,1),(184,1),(188,1),(223,1),(224,1),(241,1)}
       207:{2,3,6}:{(183,1),(184,1),(185,1),(223,1),(225,1)}
       208:{2,4,7}:{(184,1),(186,1),(189,1),(224,1),(225,1)}
       209:{1,3,4,6}:{(185,1),(186,1),(187,1),(221,1),(225,1),(226,1)}
       210:{1,4,5}:{(187,1),(222,1),(226,1),(244,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(198,1),(227,1),(228,1)}
       213:{1,3,7}:{(190,1),(193,1),(199,1)}
       214:{2,6}:{(191,1),(192,1)}
       215:{2,3,5,7}:{(192,1),(193,1),(195,1),(200,1),(228,1),(229,1),(230,1),(243,1)}
       216:{1,3,6}:{(194,1),(195,1),(202,1),(229,1)}
       217:{1,3,4,7}:{(195,1),(197,1),(201,1),(203,1),(230,1),(231,1)}
       218:{1,4,6}:{(196,1),(197,1),(204,1),(232,1)}
       219:{1,3,5}:{(198,1),(199,1),(200,1),(233,1)}
       220:{2,4}:{(200,1),(201,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(204,1),(210,1),(232,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(207,1),(235,1)}
       224:{1,4,7}:{(206,1),(208,1),(211,1),(235,1)}
       225:{2,4,6}:{(207,1),(208,1),(209,1),(235,1),(236,1)}
       226:{1,3,5}:{(209,1),(210,1),(234,1),(236,1)}
       227:{1,2,6}:{(212,1),(214,1),(237,1)}
       228:{1,3,5,7}:{(212,1),(213,1),(215,1),(219,1),(237,1),(238,1),(244,1)}
       229:{2,3,6}:{(214,1),(215,1),(216,1),(237,1),(239,1)}
       230:{2,4,7}:{(215,1),(217,1),(220,1),(238,1),(239,1)}
       231:{1,3,4,6}:{(216,1),(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,4,5}:{(218,1),(222,1),(240,1),(241,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(225,1),(241,1)}
       236:{2,5}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(229,1),(242,1)}
       238:{1,4,7}:{(228,1),(230,1),(233,1),(242,1)}
       239:{2,4,6}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       240:{1,3,5}:{(231,1),(232,1),(234,1),(243,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2039 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2040 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2041 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

2042 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(41,1),(44,1),(76,1),(86,1),(92,1),(93,1),(145,1),(181,1),(193,1),(220,1),(221,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(68,1),(108,1),(122,1),(162,1),(171,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(25,1),(27,1),(66,1),(68,1),(104,1),(116,1),(162,1),(174,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(59,1),(105,1),(115,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(45,1),(79,1),(133,1),(144,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(228,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(46,1),(93,1),(145,1),(193,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(196,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(36,1),(84,1),(86,1),(91,1),(92,1),(145,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(72,1),(102,1),(126,1),(156,1),(171,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(29,1),(54,1),(60,1),(68,1),(102,1),(114,1),(171,1),(175,1),(213,1)}
        11:{1,3,4,5}:{(5,1),(24,1),(59,1),(125,1),(233,1),(237,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(25,1),(170,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(27,1),(206,1),(216,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(27,1),(28,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(29,1),(115,1),(213,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(29,1),(30,1),(68,1),(116,1),(121,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(59,1),(71,1),(115,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(49,1),(74,1),(96,1),(144,1),(154,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(193,1),(218,1)}
        20:{1,2,4,5,6}:{(33,1),(35,1),(73,1),(81,1),(129,1),(140,1),(151,1),(180,1),(189,1),(191,1),(193,1),(198,1),(218,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(12,1),(32,1),(37,1),(38,1),(143,1),(193,1),(197,1)}
        22:{2,3,4,6}:{(14,1),(36,1),(39,1),(40,1),(84,1),(91,1),(147,1),(195,1),(228,1)}
        23:{1,3,4,5,7}:{(11,1),(13,1),(42,1),(43,1),(45,1),(85,1),(87,1),(148,1),(153,1),(196,1),(199,1)}
        24:{2,4,5}:{(11,1),(14,1),(36,1),(44,1),(86,1),(147,1)}
        25:{1,4,5,7}:{(12,1),(37,1),(41,1),(45,1),(133,1)}
        26:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(38,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,4,6}:{(14,1),(17,1),(44,1),(47,1)}
        29:{2,3,6,7}:{(15,1),(16,1),(46,1),(49,1),(84,1),(145,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(96,1),(98,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(86,1),(145,1)}
        32:{1,4,6,7}:{(18,1),(21,1),(51,1),(170,1),(178,1)}
        33:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(53,1),(102,1),(106,1),(126,1),(161,1),(174,1),(178,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(53,1),(55,1),(56,1),(166,1),(200,1),(212,1),(213,1),(237,1)}
        36:{2,3,5}:{(22,1),(24,1),(59,1),(215,1),(237,1)}
        37:{2,4,5,7}:{(21,1),(25,1),(51,1),(57,1),(60,1),(68,1),(102,1)}
        38:{3,4,6,7}:{(21,1),(60,1),(113,1),(213,1),(216,1)}
        39:{2,3,4,7}:{(22,1),(27,1),(58,1),(62,1),(121,1),(173,1),(216,1)}
        40:{1,3,4,6}:{(22,1),(28,1),(59,1),(62,1),(63,1),(71,1),(105,1),(115,1),(125,1),(159,1),(203,1)}
        41:{1,4,5,6}:{(25,1),(57,1),(64,1),(156,1),(170,1),(217,1)}
        42:{1,3,4,6}:{(23,1),(64,1),(65,1),(113,1),(115,1),(170,1),(213,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(27,1),(58,1),(65,1),(66,1),(68,1),(116,1),(173,1),(215,1)}
        44:{1,4,5}:{(24,1),(28,1),(59,1),(159,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(60,1),(64,1),(68,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(29,1),(65,1),(68,1),(69,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(63,1),(67,1),(70,1),(71,1)}
        49:{1,3,6,7}:{(29,1),(30,1),(69,1),(72,1),(115,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(70,1),(72,1),(116,1)}
        51:{1,4,5,7}:{(32,1),(37,1),(73,1),(74,1),(96,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(38,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(35,1),(77,1),(78,1),(196,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{1,3,4,6}:{(35,1),(77,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(82,1),(129,1),(139,1),(179,1),(189,1),(192,1),(218,1)}
        57:{2,4,5,6}:{(37,1),(41,1),(73,1),(83,1),(92,1),(129,1),(143,1),(193,1),(229,1)}
        58:{2,3,5,7}:{(36,1),(39,1),(43,1),(84,1),(85,1),(196,1)}
        59:{1,3,5}:{(36,1),(40,1),(44,1),(86,1),(221,1)}
        60:{3,5,7}:{(37,1),(38,1),(83,1)}
        61:{2,3,4,6,7}:{(38,1),(39,1),(46,1),(75,1),(84,1),(88,1),(89,1),(136,1),(143,1),(150,1),(179,1),(195,1),(197,1),(228,1),(239,1)}
        62:{1,3,4,7}:{(39,1),(40,1),(47,1),(85,1),(90,1),(98,1),(135,1),(183,1)}
        63:{2,4,6}:{(40,1),(86,1),(90,1),(91,1),(145,1),(147,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(83,1),(92,1),(199,1)}
        65:{2,4,6}:{(42,1),(43,1),(84,1),(92,1),(93,1),(145,1)}
        66:{1,4,5,7}:{(43,1),(44,1),(47,1),(85,1),(93,1),(96,1),(183,1),(221,1)}
        67:{1,2,4,5}:{(44,1),(48,1),(86,1),(95,1),(147,1)}
        68:{2,5,7}:{(45,1),(46,1),(92,1),(96,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(49,1),(93,1),(96,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(90,1),(98,1)}
        71:{1,3,6}:{(48,1),(91,1),(95,1),(98,1)}
        72:{1,2,6,7}:{(49,1),(50,1),(145,1)}
        73:{1,4,5,6}:{(51,1),(57,1),(99,1),(122,1),(170,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(60,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(63,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(55,1),(106,1),(178,1),(216,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{1,3,4,5}:{(55,1),(109,1),(166,1),(211,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(106,1),(109,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(107,1),(111,1),(112,1),(156,1),(166,1),(169,1),(200,1)}
        83:{3,5,6}:{(57,1),(60,1),(113,1),(213,1),(237,1)}
        84:{2,3,6}:{(58,1),(65,1),(115,1),(213,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(62,1),(66,1),(115,1),(116,1)}
        86:{2,5}:{(59,1),(63,1)}
        87:{3,4,5,7}:{(60,1),(113,1),(118,1),(216,1),(237,1)}
        88:{2,3,5,7}:{(60,1),(61,1),(68,1),(102,1),(114,1),(118,1),(119,1),(215,1),(237,1),(243,1)}
        89:{1,3,4,6,7}:{(61,1),(62,1),(69,1),(103,1),(115,1),(119,1),(120,1),(127,1),(163,1),(164,1),(170,1),(177,1),(178,1),(200,1),(203,1),(206,1),(213,1),(216,1),(232,1),(242,1)}
        90:{2,4,7}:{(62,1),(63,1),(116,1),(121,1)}
        91:{2,3,6}:{(63,1),(71,1),(105,1),(117,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(215,1)}
        93:{1,4,6}:{(65,1),(66,1),(115,1),(122,1)}
        94:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(116,1),(123,1),(124,1),(126,1),(173,1),(174,1),(178,1),(215,1),(217,1)}
        95:{1,3,5}:{(67,1),(71,1),(117,1),(125,1)}
        96:{1,5,7}:{(68,1),(69,1),(122,1)}
        97:{1,2,4,6,7}:{(69,1),(70,1),(72,1),(120,1),(123,1),(126,1),(127,1),(178,1),(207,1),(230,1),(242,1)}
        98:{1,3,7}:{(70,1),(71,1),(121,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(83,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(86,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(80,1),(87,1),(128,1),(132,1),(148,1),(184,1),(196,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(90,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(91,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(81,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(82,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{2,4,5}:{(80,1),(81,1),(139,1),(140,1),(189,1),(227,1)}
       110:{2,3,4,6}:{(81,1),(136,1),(139,1),(141,1),(179,1),(192,1),(227,1),(228,1),(239,1)}
       111:{1,4,6}:{(81,1),(82,1),(137,1),(140,1)}
       112:{1,2,5,6}:{(82,1),(138,1),(142,1),(189,1),(218,1)}
       113:{3,4,6}:{(83,1),(87,1),(143,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(88,1),(92,1),(129,1),(143,1),(144,1),(179,1)}
       115:{1,3,6}:{(84,1),(85,1),(93,1),(145,1)}
       116:{2,5,7}:{(85,1),(86,1),(90,1),(145,1)}
       117:{2,3,5}:{(86,1),(91,1),(95,1),(131,1),(147,1)}
       118:{2,4,5,7}:{(87,1),(88,1),(143,1),(148,1),(197,1),(229,1)}
       119:{1,3,5,7}:{(88,1),(89,1),(96,1),(133,1),(144,1),(148,1),(149,1),(196,1),(199,1),(221,1),(240,1),(244,1)}
       120:{2,4,6,7}:{(89,1),(90,1),(145,1),(149,1),(150,1),(187,1),(193,1),(195,1),(197,1),(218,1),(239,1)}
       121:{2,3,7}:{(90,1),(91,1),(98,1),(135,1)}
       122:{1,5,6}:{(92,1),(93,1),(96,1),(221,1)}
       123:{1,2,4,6}:{(93,1),(94,1),(145,1),(151,1),(152,1),(193,1),(195,1),(198,1)}
       124:{1,3,5,7}:{(94,1),(95,1),(98,1),(146,1),(152,1),(153,1),(196,1),(199,1)}
       125:{1,3,4}:{(95,1),(147,1)}
       126:{1,2,5,7}:{(96,1),(97,1),(149,1),(151,1),(154,1),(244,1)}
       127:{1,3,6,7}:{(97,1),(98,1),(150,1),(152,1),(154,1),(225,1),(238,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(113,1),(155,1),(170,1),(200,1),(213,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(116,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(117,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(120,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(121,1)}
       136:{2,3,4,7}:{(106,1),(110,1),(160,1),(164,1),(208,1),(216,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(111,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(112,1),(165,1),(204,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,4,5}:{(109,1),(111,1),(166,1),(236,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(164,1),(166,1),(168,1),(169,1),(200,1),(211,1),(212,1),(236,1),(242,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(165,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(118,1),(170,1)}
       144:{1,3,5,6}:{(114,1),(115,1),(119,1),(122,1),(156,1),(170,1),(171,1),(200,1),(213,1)}
       145:{2,6}:{(115,1),(116,1)}
       146:{2,3,5,7}:{(116,1),(117,1),(121,1),(124,1),(158,1),(172,1),(173,1),(215,1)}
       147:{2,4}:{(117,1),(125,1),(159,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(170,1),(174,1),(178,1),(206,1),(217,1),(233,1)}
       149:{2,5,7}:{(119,1),(120,1),(171,1),(215,1),(243,1)}
       150:{2,3,6,7}:{(120,1),(121,1),(127,1),(163,1),(172,1),(175,1),(208,1),(213,1),(231,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(126,1),(171,1),(176,1),(215,1),(230,1)}
       152:{1,3,6}:{(123,1),(124,1),(172,1),(213,1)}
       153:{1,3,4,7}:{(124,1),(125,1),(173,1),(177,1),(178,1),(216,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(175,1),(176,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(145,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(146,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(147,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(139,1),(179,1),(184,1),(196,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(140,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(149,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(150,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(141,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(142,1),(187,1),(188,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(189,1),(244,1)}
       167:{1,2,4,5}:{(140,1),(142,1),(189,1),(190,1),(227,1)}
       168:{2,4,6}:{(141,1),(187,1),(189,1),(192,1),(218,1),(227,1)}
       169:{1,3,6}:{(142,1),(188,1),(190,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(148,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(149,1),(193,1),(218,1)}
       172:{2,3,6}:{(145,1),(146,1),(152,1),(182,1),(195,1)}
       173:{2,4,7}:{(146,1),(147,1),(153,1),(183,1),(195,1)}
       174:{2,4,5,7}:{(148,1),(149,1),(193,1),(196,1),(197,1),(229,1)}
       175:{2,3,5,7}:{(149,1),(150,1),(154,1),(186,1),(194,1),(196,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(195,1),(198,1),(199,1),(228,1)}
       178:{1,4,7}:{(154,1),(197,1),(198,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(213,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(171,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(172,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(173,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(166,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(167,1),(174,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(175,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(168,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(169,1),(208,1)}
       189:{2,5}:{(166,1),(168,1)}
       190:{1,3,5}:{(167,1),(169,1),(210,1),(211,1)}
       191:{1,2,4,6}:{(168,1),(207,1),(209,1),(212,1),(230,1),(236,1),(242,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(210,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(213,1)}
       194:{2,3,5,6}:{(171,1),(172,1),(175,1),(176,1),(202,1),(213,1),(214,1),(215,1),(231,1),(237,1),(243,1)}
       195:{2,4,6}:{(172,1),(173,1),(177,1),(203,1),(215,1)}
       196:{3,5,7}:{(174,1),(213,1),(216,1),(237,1)}
       197:{2,4,7}:{(175,1),(178,1),(206,1),(214,1),(216,1)}
       198:{1,4,6}:{(176,1),(178,1),(214,1),(217,1)}
       199:{1,3,5}:{(177,1),(215,1),(217,1),(237,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(193,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(194,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(195,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(189,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(190,1),(196,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(197,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(191,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(192,1),(225,1)}
       209:{1,2,5}:{(189,1),(191,1),(226,1),(244,1)}
       210:{2,3,5}:{(189,1),(190,1),(192,1),(226,1),(227,1)}
       211:{1,3,4}:{(190,1),(227,1)}
       212:{1,3,6}:{(191,1),(192,1),(225,1),(226,1)}
       213:{3,6}:{(193,1),(196,1)}
       214:{2,4,6}:{(194,1),(197,1),(198,1),(220,1),(228,1),(229,1)}
       215:{2,5}:{(195,1),(199,1),(221,1)}
       216:{3,4,7}:{(196,1),(197,1),(228,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(213,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(214,1),(233,1)}
       221:{1,5}:{(203,1),(215,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(209,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(210,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(211,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(212,1)}
       226:{1,3,5}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4}:{(210,1),(211,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(216,1),(237,1)}
       229:{2,4,5}:{(214,1),(215,1),(217,1),(233,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(228,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(229,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(226,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(227,1),(239,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(237,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(236,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2043 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2044 :   0:{1,2,3,6,7}:{(2,1),(3,1),(54,1),(97,1),(125,1),(178,1),(405,1),(418,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(54,1),(58,1),(93,1),(178,1),(292,1),(297,1),(303,1),(416,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(89,1),(352,1),(364,1),(464,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(141,1),(169,1),(236,1),(253,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(81,1),(134,1),(463,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(51,1),(100,1),(112,1),(196,1),(342,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(54,1),(98,1),(195,1),(296,1),(302,1),(418,1),(500,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(122,1),(500,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(222,1),(297,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(54,1),(185,1),(303,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(49,1),(297,1),(415,1)}
        11:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(65,1),(252,1),(395,1),(523,1),(527,1)}
        12:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(66,1),(83,1),(163,1),(173,1),(242,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(29,1),(64,1),(69,1),(85,1),(143,1),(150,1),(169,1),(242,1),(263,1),(387,1),(478,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(359,1),(361,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(29,1),(30,1),(364,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(30,1),(31,1),(76,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(31,1),(164,1),(253,1)}
        18:{2,3,4,6}:{(9,1),(29,1),(34,1),(35,1),(81,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(31,1),(36,1),(37,1),(74,1),(81,1),(161,1),(164,1),(244,1),(259,1),(360,1),(382,1),(463,1)}
        21:{1,3,4,6,7}:{(12,1),(13,1),(38,1),(40,1),(52,1),(91,1),(100,1),(124,1),(219,1),(225,1),(342,1),(442,1)}
        22:{1,2,3,5,6}:{(11,1),(39,1),(42,1),(95,1),(100,1),(112,1),(192,1),(220,1),(305,1),(340,1),(494,1),(501,1)}
        23:{1,2,4,7}:{(11,1),(39,1),(40,1),(311,1),(442,1)}
        24:{1,2,5,7}:{(12,1),(38,1),(42,1),(220,1),(299,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(43,1),(44,1),(203,1),(222,1),(299,1),(325,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(415,1),(500,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(54,1),(195,1),(298,1)}
        28:{1,3,4,5}:{(19,1),(49,1),(50,1),(415,1),(433,1)}
        29:{2,3,4,7}:{(15,1),(18,1),(52,1),(53,1),(122,1),(330,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(19,1),(53,1),(54,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(46,1),(54,1),(117,1)}
        32:{1,2,5,6,7}:{(17,1),(47,1),(55,1),(222,1),(314,1),(333,1),(417,1),(429,1)}
        33:{1,2,3,6}:{(48,1),(51,1),(56,1),(226,1)}
        34:{1,3,4,6}:{(18,1),(52,1),(56,1),(57,1),(119,1),(121,1),(124,1),(226,1)}
        35:{2,3,5}:{(18,1),(19,1),(49,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(50,1),(54,1),(58,1),(59,1),(303,1),(434,1)}
        37:{1,2,4,5,7}:{(20,1),(55,1),(59,1),(114,1),(122,1),(218,1),(222,1),(304,1),(322,1),(417,1),(435,1),(500,1)}
        38:{1,3,5,7}:{(21,1),(24,1),(25,1),(60,1),(61,1),(280,1),(282,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(62,1),(63,1),(248,1),(365,1),(394,1)}
        40:{1,3,4,7}:{(23,1),(62,1),(64,1),(65,1),(527,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(60,1),(63,1),(65,1),(66,1),(131,1)}
        42:{1,2,5,6}:{(24,1),(61,1),(66,1),(173,1),(237,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(60,1),(68,1),(69,1),(384,1),(478,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(61,1),(69,1),(85,1),(143,1),(146,1),(164,1),(237,1)}
        45:{1,3,4,5,7}:{(26,1),(28,1),(30,1),(68,1),(76,1),(77,1),(82,1),(165,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(32,1),(70,1),(78,1),(86,1),(165,1),(254,1),(361,1),(464,1)}
        48:{1,2,3,5}:{(33,1),(79,1),(87,1),(170,1)}
        49:{2,4,5}:{(28,1),(35,1),(80,1),(81,1)}
        50:{1,3,4,6}:{(28,1),(36,1),(81,1),(82,1),(463,1),(476,1)}
        51:{1,2,3,7}:{(33,1),(83,1),(285,1)}
        52:{1,3,4,7}:{(29,1),(34,1),(83,1),(84,1),(172,1),(285,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(35,1),(76,1),(84,1),(85,1)}
        54:{1,3,6}:{(30,1),(31,1),(85,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(37,1),(78,1),(86,1),(169,1),(276,1),(379,1),(471,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(79,1),(83,1),(87,1),(173,1)}
        57:{1,3,5}:{(34,1),(35,1),(80,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(81,1),(85,1),(88,1),(89,1),(164,1),(259,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(82,1),(86,1),(89,1),(364,1),(477,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(91,1),(339,1),(442,1)}
        61:{1,3,5,6}:{(38,1),(42,1),(44,1),(91,1),(100,1),(124,1),(221,1)}
        62:{1,3,4,6}:{(39,1),(40,1),(94,1),(95,1),(100,1),(419,1),(501,1)}
        63:{1,2,4,5}:{(39,1),(95,1),(188,1),(220,1),(339,1)}
        64:{2,3,4,7}:{(40,1),(94,1),(98,1),(99,1),(311,1),(503,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(95,1),(99,1),(100,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(91,1),(100,1),(183,1)}
        67:{1,2,5,6,7}:{(42,1),(92,1),(101,1),(228,1),(299,1),(341,1),(402,1),(429,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(203,1),(433,1),(509,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(91,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(92,1),(105,1),(125,1),(196,1),(203,1),(222,1),(299,1),(429,1),(437,1),(505,1)}
        71:{2,3,4,5}:{(49,1),(106,1),(107,1),(208,1),(320,1),(433,1)}
        72:{1,2,3,5,6}:{(48,1),(108,1),(109,1),(112,1),(126,1),(216,1),(220,1),(226,1),(321,1),(332,1),(335,1),(340,1)}
        73:{1,3,4,5,6}:{(50,1),(110,1),(111,1),(113,1),(199,1),(201,1),(323,1),(337,1),(434,1),(440,1)}
        74:{1,4,5,6}:{(46,1),(102,1),(113,1),(114,1),(298,1)}
        75:{1,2,3,5,7}:{(48,1),(51,1),(112,1),(115,1),(123,1),(220,1),(223,1),(305,1),(396,1),(483,1)}
        76:{2,4,5,7}:{(45,1),(49,1),(53,1),(116,1),(117,1),(122,1),(222,1)}
        77:{1,3,4,6}:{(45,1),(46,1),(54,1),(104,1),(113,1),(117,1)}
        78:{1,4,6,7}:{(46,1),(47,1),(105,1),(114,1),(500,1)}
        79:{1,2,4}:{(48,1),(119,1)}
        80:{1,4,5}:{(49,1),(57,1),(121,1)}
        81:{2,4,6}:{(49,1),(50,1),(58,1),(121,1),(122,1)}
        82:{1,3,4,7}:{(50,1),(59,1),(122,1),(500,1),(509,1)}
        83:{1,2,4,7}:{(51,1),(52,1),(56,1),(123,1)}
        84:{1,3,5,7}:{(52,1),(53,1),(57,1),(116,1),(123,1),(124,1)}
        85:{2,3,6}:{(53,1),(54,1),(117,1),(124,1)}
        86:{1,3,6,7}:{(54,1),(55,1),(59,1),(125,1),(505,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(121,1),(124,1),(126,1),(127,1),(221,1),(226,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(122,1),(125,1),(127,1),(222,1),(322,1),(330,1)}
        90:{1,3,4,5,7}:{(60,1),(65,1),(68,1),(131,1),(132,1),(135,1),(238,1),(249,1)}
        91:{1,4,6}:{(60,1),(61,1),(69,1)}
        92:{1,3,5,6,7}:{(61,1),(67,1),(70,1),(133,1),(144,1),(174,1),(238,1),(282,1),(395,1)}
        93:{1,2,3,5}:{(128,1),(134,1),(233,1),(243,1)}
        94:{2,3,4,6}:{(62,1),(64,1),(137,1),(138,1),(143,1),(248,1),(366,1),(467,1)}
        95:{1,3,5}:{(62,1),(63,1),(138,1)}
        96:{1,2,4,5,6}:{(63,1),(66,1),(129,1),(139,1),(140,1),(237,1),(248,1),(281,1),(357,1),(382,1),(394,1),(458,1),(466,1)}
        97:{1,2,3,7}:{(136,1),(141,1),(469,1)}
        98:{1,3,4,7}:{(64,1),(137,1),(141,1),(142,1),(372,1),(469,1)}
        99:{2,3,5,7}:{(64,1),(65,1),(131,1),(138,1),(142,1),(143,1)}
       100:{1,3,6}:{(65,1),(66,1),(143,1)}
       101:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(140,1),(144,1),(242,1),(448,1),(471,1),(515,1)}
       102:{2,4,5,6}:{(69,1),(74,1),(129,1),(146,1),(147,1),(164,1),(237,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(76,1),(131,1),(148,1),(149,1),(154,1),(245,1),(265,1),(266,1),(369,1),(377,1),(384,1),(470,1),(478,1),(513,1)}
       104:{3,4,6}:{(68,1),(69,1),(146,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(78,1),(133,1),(147,1),(150,1),(478,1)}
       106:{1,3,4,5}:{(71,1),(80,1),(152,1),(153,1),(170,1),(243,1),(350,1)}
       107:{2,3,4,6}:{(71,1),(81,1),(145,1),(153,1),(154,1),(269,1),(380,1),(476,1)}
       108:{1,2,3,5,7}:{(72,1),(155,1),(157,1),(175,1),(272,1),(274,1),(285,1),(381,1),(395,1)}
       109:{1,2,4,6}:{(72,1),(79,1),(157,1),(159,1),(160,1),(380,1),(394,1)}
       110:{2,4,5,6}:{(73,1),(81,1),(145,1),(161,1),(162,1),(164,1),(259,1),(380,1),(474,1)}
       111:{1,3,4,5,7}:{(73,1),(82,1),(158,1),(162,1),(165,1),(260,1),(262,1),(383,1),(393,1),(477,1),(481,1)}
       112:{1,2,3,6}:{(75,1),(163,1),(173,1),(283,1),(512,1)}
       113:{1,3,5,6}:{(74,1),(77,1),(146,1),(164,1),(165,1)}
       114:{1,4,5,7}:{(74,1),(78,1),(147,1),(165,1),(361,1)}
       115:{1,2,4,7}:{(75,1),(79,1),(163,1),(166,1),(365,1)}
       116:{1,4,5,7}:{(76,1),(80,1),(84,1),(168,1),(172,1),(282,1)}
       117:{2,4,6}:{(76,1),(77,1),(85,1),(164,1),(168,1)}
       118:{1,3,4,6,7}:{(77,1),(78,1),(82,1),(86,1),(150,1),(165,1),(169,1)}
       119:{1,3,4}:{(79,1),(151,1),(170,1)}
       120:{1,2,4,5}:{(79,1),(80,1),(87,1),(152,1),(170,1),(171,1)}
       121:{1,4,6}:{(80,1),(81,1),(88,1),(172,1)}
       122:{2,4,7}:{(81,1),(82,1),(89,1),(172,1)}
       123:{1,2,5,7}:{(83,1),(84,1),(87,1),(173,1)}
       124:{1,3,6}:{(84,1),(85,1),(168,1),(173,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(89,1),(169,1),(174,1),(379,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(171,1),(173,1),(175,1),(259,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(172,1),(174,1),(175,1),(282,1),(285,1)}
       128:{1,2,3,6}:{(93,1),(176,1),(177,1),(303,1)}
       129:{1,4,5,6}:{(91,1),(102,1),(179,1),(180,1),(221,1)}
       130:{1,2,3,5,7}:{(93,1),(97,1),(176,1),(178,1),(181,1),(187,1),(194,1),(290,1),(297,1),(300,1)}
       131:{2,4,5,7}:{(90,1),(99,1),(182,1),(183,1),(188,1),(299,1),(311,1)}
       132:{1,3,4,6}:{(90,1),(91,1),(100,1),(104,1),(179,1),(183,1)}
       133:{1,4,6,7}:{(91,1),(92,1),(105,1),(180,1),(442,1)}
       134:{1,2,4}:{(93,1),(185,1)}
       135:{1,3,4,5}:{(95,1),(188,1),(189,1),(339,1),(433,1)}
       136:{1,2,3,6}:{(97,1),(187,1),(190,1),(424,1)}
       137:{1,3,4,6}:{(94,1),(98,1),(190,1),(191,1),(195,1),(308,1),(310,1),(424,1)}
       138:{2,3,5}:{(94,1),(95,1),(188,1),(191,1)}
       139:{1,3,5,6}:{(95,1),(96,1),(100,1),(189,1),(192,1),(193,1),(434,1),(501,1)}
       140:{1,2,4,5,7}:{(96,1),(101,1),(180,1),(193,1),(299,1),(311,1),(341,1),(414,1),(435,1),(442,1),(497,1),(502,1)}
       141:{1,2,4,7}:{(97,1),(98,1),(190,1),(194,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(182,1),(191,1),(194,1),(195,1)}
       143:{2,3,6}:{(99,1),(100,1),(183,1),(195,1)}
       144:{1,3,6,7}:{(100,1),(101,1),(193,1),(196,1),(505,1)}
       145:{2,3,5,6}:{(107,1),(110,1),(199,1),(200,1),(434,1)}
       146:{3,5,6}:{(102,1),(104,1),(203,1)}
       147:{2,4,5,7}:{(102,1),(105,1),(114,1),(180,1),(203,1),(222,1),(299,1)}
       148:{1,3,4,5,7}:{(103,1),(106,1),(116,1),(182,1),(205,1),(206,1),(210,1),(223,1),(300,1),(306,1),(327,1),(339,1),(403,1),(415,1),(423,1),(433,1),(442,1),(500,1),(509,1),(531,1)}
       149:{2,3,4,6}:{(103,1),(104,1),(117,1),(183,1),(202,1),(206,1),(328,1),(430,1),(436,1),(504,1),(534,1)}
       150:{3,4,6,7}:{(104,1),(105,1),(203,1),(505,1),(509,1)}
       151:{2,3,4}:{(119,1),(185,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(121,1),(199,1),(209,1),(210,1),(226,1),(303,1),(406,1)}
       154:{2,3,4,7}:{(107,1),(122,1),(200,1),(210,1),(330,1),(432,1),(509,1)}
       155:{1,2,3,6,7}:{(108,1),(112,1),(211,1),(228,1),(335,1),(342,1),(396,1),(431,1)}
       156:{1,4,5,6,7}:{(114,1),(197,1),(212,1),(402,1),(426,1),(510,1)}
       157:{1,2,4,7}:{(108,1),(109,1),(213,1),(432,1),(442,1)}
       158:{1,3,4,6,7}:{(111,1),(212,1),(215,1),(315,1),(319,1),(426,1),(505,1)}
       159:{1,3,4,6}:{(109,1),(119,1),(198,1),(213,1),(216,1),(226,1),(335,1)}
       160:{1,2,4,5}:{(109,1),(216,1),(220,1),(320,1),(339,1)}
       161:{1,4,5,6}:{(110,1),(121,1),(199,1),(218,1),(221,1),(406,1),(491,1)}
       162:{2,4,5,7}:{(110,1),(111,1),(122,1),(200,1),(215,1),(218,1),(222,1),(322,1),(432,1),(508,1)}
       163:{1,2,4,6}:{(112,1),(115,1),(219,1),(220,1)}
       164:{2,5,6}:{(113,1),(117,1),(221,1),(222,1)}
       165:{1,3,5,7}:{(113,1),(114,1),(118,1),(203,1),(222,1)}
       166:{1,3,4,7}:{(115,1),(119,1),(204,1),(219,1),(223,1),(419,1),(442,1)}
       167:{1,2,4,5,7}:{(115,1),(116,1),(120,1),(123,1),(205,1),(220,1),(223,1),(224,1),(227,1),(339,1),(341,1),(420,1),(442,1),(483,1),(502,1),(531,1)}
       168:{1,4,6}:{(116,1),(117,1),(124,1),(221,1)}
       169:{2,4,6,7}:{(117,1),(118,1),(122,1),(125,1),(222,1),(225,1)}
       170:{1,3,5}:{(119,1),(120,1),(208,1),(226,1)}
       171:{1,2,4,6}:{(120,1),(121,1),(126,1),(209,1),(226,1),(227,1)}
       172:{1,4,7}:{(121,1),(122,1),(127,1)}
       173:{1,2,6}:{(123,1),(124,1)}
       174:{1,3,6,7}:{(124,1),(125,1),(127,1),(225,1),(228,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(227,1),(228,1),(322,1)}
       176:{1,2,3,7}:{(128,1),(231,1),(364,1)}
       177:{1,2,4,6}:{(128,1),(134,1),(231,1),(232,1),(233,1),(349,1)}
       178:{1,2,3,6}:{(130,1),(236,1),(253,1),(349,1),(362,1)}
       179:{1,3,5,6}:{(129,1),(132,1),(146,1),(237,1),(238,1)}
       180:{1,4,5,7}:{(129,1),(133,1),(147,1),(238,1),(282,1)}
       181:{1,2,4,7}:{(130,1),(134,1),(236,1),(239,1),(246,1)}
       182:{1,4,5,7}:{(131,1),(142,1),(241,1),(247,1),(361,1),(372,1)}
       183:{2,4,6}:{(131,1),(132,1),(143,1),(237,1),(241,1)}
       184:{1,3,4,6,7}:{(132,1),(133,1),(144,1),(150,1),(238,1),(242,1),(249,1)}
       185:{1,3,4}:{(134,1),(151,1),(243,1)}
       186:{1,2,4,5}:{(134,1),(152,1),(233,1),(243,1),(244,1),(350,1)}
       187:{1,2,3,5}:{(136,1),(246,1),(250,1),(370,1)}
       188:{2,4,5}:{(135,1),(138,1),(247,1),(248,1)}
       189:{1,3,4,6}:{(135,1),(139,1),(248,1),(249,1),(394,1),(476,1)}
       190:{1,2,4,6}:{(136,1),(137,1),(141,1),(246,1),(250,1),(253,1)}
       191:{1,3,5}:{(137,1),(138,1),(247,1),(250,1)}
       192:{2,3,5,6}:{(138,1),(139,1),(143,1),(237,1),(248,1),(251,1),(252,1),(458,1),(467,1)}
       193:{1,3,5,7}:{(139,1),(140,1),(144,1),(249,1),(252,1),(477,1),(527,1)}
       194:{1,2,5,7}:{(141,1),(142,1),(250,1),(253,1)}
       195:{1,3,6}:{(142,1),(143,1),(241,1),(253,1)}
       196:{2,3,6,7}:{(143,1),(144,1),(242,1),(252,1),(254,1),(515,1)}
       197:{2,4,5,6,7}:{(147,1),(156,1),(230,1),(255,1),(273,1),(347,1),(374,1),(471,1),(530,1)}
       198:{2,3,4,6}:{(151,1),(159,1),(232,1),(256,1),(258,1),(269,1),(378,1),(380,1)}
       199:{1,3,5,6}:{(145,1),(153,1),(161,1),(259,1),(260,1)}
       200:{2,3,5,7}:{(145,1),(154,1),(162,1),(257,1),(260,1),(477,1)}
       201:{3,4,5,6}:{(146,1),(261,1),(262,1),(476,1),(528,1)}
       202:{2,3,5,6}:{(146,1),(149,1),(164,1),(237,1),(261,1),(264,1),(265,1),(474,1),(528,1),(545,1)}
       203:{3,5,7}:{(146,1),(147,1),(150,1)}
       204:{2,3,4,7}:{(151,1),(166,1),(239,1),(263,1),(266,1),(366,1),(478,1)}
       205:{2,4,5,7}:{(148,1),(152,1),(266,1),(267,1),(270,1),(367,1),(384,1),(386,1),(468,1),(478,1)}
       206:{1,3,4,6}:{(148,1),(149,1),(168,1),(241,1),(264,1),(267,1),(283,1),(362,1),(394,1),(452,1),(463,1),(476,1),(543,1)}
       207:{2,3,4,6,7}:{(149,1),(150,1),(154,1),(169,1),(242,1),(257,1),(265,1),(268,1),(369,1),(374,1),(387,1),(445,1),(475,1),(478,1),(529,1),(546,1)}
       208:{2,3,5}:{(151,1),(152,1),(170,1),(243,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(259,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(172,1),(260,1),(270,1),(285,1),(364,1),(454,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(163,1),(271,1),(272,1),(275,1),(443,1),(475,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(158,1),(165,1),(255,1),(273,1),(481,1)}
       213:{1,3,4,7}:{(157,1),(159,1),(256,1),(274,1),(285,1)}
       214:{1,2,4,5,7}:{(157,1),(160,1),(272,1),(274,1),(275,1),(377,1),(388,1)}
       215:{2,4,6,7}:{(158,1),(162,1),(257,1),(273,1),(276,1),(379,1)}
       216:{1,3,5}:{(159,1),(160,1),(258,1)}
       217:{1,2,4,5,6}:{(160,1),(161,1),(171,1),(259,1),(275,1),(278,1),(279,1),(281,1),(380,1),(382,1),(394,1),(474,1),(479,1)}
       218:{1,4,5,7}:{(161,1),(162,1),(172,1),(260,1),(276,1),(282,1),(454,1),(520,1)}
       219:{1,3,4,6}:{(163,1),(166,1),(263,1),(280,1),(283,1),(394,1)}
       220:{1,2,5}:{(163,1),(280,1)}
       221:{1,5,6}:{(164,1),(168,1),(282,1)}
       222:{2,5,7}:{(164,1),(165,1),(169,1),(282,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(170,1),(266,1),(280,1),(283,1),(285,1),(465,1),(527,1)}
       224:{1,2,4,6}:{(167,1),(168,1),(173,1),(267,1),(281,1),(283,1),(394,1),(512,1),(543,1)}
       225:{1,4,6,7}:{(168,1),(169,1),(172,1),(174,1),(282,1)}
       226:{1,3,6}:{(170,1),(171,1),(269,1),(285,1)}
       227:{1,2,4,7}:{(171,1),(172,1),(175,1),(270,1),(285,1)}
       228:{1,2,6,7}:{(173,1),(174,1),(175,1),(379,1)}
       229:{1,2,3,6,7}:{(176,1),(178,1),(286,1),(287,1),(314,1),(418,1),(487,1),(535,1)}
       230:{1,4,5,6,7}:{(180,1),(197,1),(288,1),(333,1),(426,1),(538,1)}
       231:{1,2,4,7}:{(176,1),(177,1),(289,1),(290,1)}
       232:{1,3,4,6}:{(177,1),(185,1),(198,1),(289,1),(291,1),(303,1),(404,1),(406,1)}
       233:{1,2,5}:{(177,1),(291,1)}
       234:{1,2,3,5,6}:{(178,1),(187,1),(286,1),(293,1),(297,1),(312,1),(401,1),(412,1),(416,1),(424,1),(487,1),(496,1)}
       235:{1,3,4,5,6}:{(179,1),(189,1),(201,1),(294,1),(295,1),(323,1),(410,1),(434,1),(498,1),(536,1)}
       236:{1,2,4,6}:{(178,1),(181,1),(296,1),(297,1)}
       237:{2,5,6}:{(179,1),(183,1),(298,1),(299,1)}
       238:{1,3,5,7}:{(179,1),(180,1),(184,1),(203,1),(299,1)}
       239:{1,3,4,7}:{(181,1),(185,1),(204,1),(296,1),(300,1),(308,1),(500,1)}
       240:{1,2,4,5,7}:{(181,1),(182,1),(186,1),(194,1),(205,1),(290,1),(297,1),(300,1),(301,1),(304,1),(309,1),(403,1),(415,1),(417,1),(425,1),(500,1)}
       241:{1,4,6}:{(182,1),(183,1),(195,1),(298,1)}
       242:{2,4,6,7}:{(183,1),(184,1),(196,1),(299,1),(302,1),(311,1)}
       243:{1,3,5}:{(185,1),(186,1),(208,1),(303,1)}
       244:{1,2,4,6}:{(186,1),(209,1),(292,1),(303,1),(304,1),(406,1)}
       245:{2,3,4,5}:{(188,1),(306,1),(307,1),(421,1),(433,1),(495,1)}
       246:{1,2,4}:{(187,1),(308,1)}
       247:{1,4,5}:{(188,1),(191,1),(310,1)}
       248:{2,4,6}:{(188,1),(189,1),(192,1),(310,1),(311,1)}
       249:{1,3,4,7}:{(189,1),(193,1),(311,1),(442,1),(509,1)}
       250:{1,2,5}:{(190,1),(191,1)}
       251:{1,3,5,6}:{(191,1),(192,1),(195,1),(298,1),(310,1),(312,1),(313,1),(424,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(196,1),(299,1),(311,1),(313,1),(497,1),(503,1)}
       253:{1,2,6}:{(194,1),(195,1)}
       254:{1,3,6,7}:{(195,1),(196,1),(302,1),(313,1),(314,1)}
       255:{3,5,6,7}:{(197,1),(203,1),(315,1),(505,1),(542,1)}
       256:{2,3,4,7}:{(198,1),(213,1),(289,1),(318,1),(330,1),(432,1)}
       257:{2,3,6,7}:{(200,1),(215,1),(319,1),(505,1)}
       258:{2,3,5}:{(198,1),(216,1),(291,1),(320,1)}
       259:{2,5,6}:{(199,1),(209,1),(322,1)}
       260:{1,3,5,7}:{(199,1),(200,1),(210,1),(218,1),(319,1),(322,1)}
       261:{2,4,5,6}:{(201,1),(202,1),(323,1),(324,1),(436,1)}
       262:{3,4,5,7}:{(201,1),(203,1),(315,1),(324,1),(509,1),(542,1)}
       263:{2,3,4,6}:{(204,1),(219,1),(296,1),(325,1),(328,1),(436,1)}
       264:{1,3,5,6}:{(202,1),(206,1),(221,1),(298,1),(323,1),(326,1),(327,1),(434,1),(491,1),(549,1)}
       265:{2,3,5,7}:{(202,1),(203,1),(207,1),(222,1),(299,1),(324,1),(327,1),(508,1),(542,1),(551,1)}
       266:{2,3,5,7}:{(204,1),(205,1),(208,1),(223,1),(300,1),(325,1),(328,1),(330,1),(421,1),(503,1)}
       267:{2,4,6}:{(205,1),(206,1),(326,1),(328,1)}
       268:{1,3,4,6,7}:{(206,1),(207,1),(210,1),(225,1),(302,1),(319,1),(327,1),(329,1),(342,1),(418,1),(423,1),(426,1),(442,1),(485,1),(492,1),(500,1),(505,1),(509,1),(550,1)}
       269:{2,3,6}:{(208,1),(209,1),(226,1),(303,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(322,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(219,1),(316,1),(331,1),(335,1),(342,1),(438,1),(442,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(220,1),(331,1),(332,1),(508,1)}
       273:{2,5,6,7}:{(212,1),(215,1),(222,1),(333,1),(508,1)}
       274:{1,3,5,7}:{(213,1),(214,1),(216,1),(318,1),(335,1)}
       275:{1,2,4,6}:{(214,1),(332,1),(335,1),(430,1),(438,1)}
       276:{1,4,6,7}:{(215,1),(218,1),(319,1),(333,1)}
       277:{1,3,4,5}:{(216,1),(320,1),(337,1),(339,1),(433,1)}
       278:{1,3,5,6}:{(216,1),(217,1),(226,1),(321,1),(335,1),(337,1),(338,1),(434,1)}
       279:{1,2,4,5,7}:{(217,1),(218,1),(227,1),(322,1),(336,1),(338,1),(341,1),(432,1),(435,1),(442,1),(508,1),(510,1)}
       280:{1,3,5}:{(219,1),(220,1),(325,1),(339,1)}
       281:{1,2,5,6}:{(220,1),(221,1),(224,1),(326,1),(340,1),(341,1),(549,1)}
       282:{1,5,7}:{(221,1),(222,1),(225,1)}
       283:{1,3,6}:{(223,1),(224,1),(328,1)}
       284:{1,2,4,6,7}:{(224,1),(225,1),(227,1),(228,1),(329,1),(341,1),(342,1),(442,1),(502,1),(533,1),(550,1)}
       285:{1,3,7}:{(226,1),(227,1),(330,1)}
       286:{1,2,3,5,7}:{(229,1),(234,1),(343,1),(346,1),(373,1),(446,1),(464,1),(469,1),(525,1)}
       287:{1,2,4,6,7}:{(229,1),(231,1),(236,1),(343,1),(345,1),(346,1),(349,1),(447,1),(546,1)}
       288:{1,3,5,6,7}:{(230,1),(238,1),(255,1),(344,1),(347,1),(547,1)}
       289:{1,3,4,7}:{(231,1),(232,1),(256,1),(348,1),(364,1),(454,1)}
       290:{1,2,5,7}:{(231,1),(233,1),(348,1),(349,1)}
       291:{1,3,5}:{(232,1),(233,1),(258,1),(350,1)}
       292:{1,2,5,6}:{(233,1),(244,1),(259,1),(349,1),(351,1),(352,1)}
       293:{1,2,4,6}:{(234,1),(246,1),(343,1),(355,1),(356,1),(463,1),(524,1)}
       294:{2,4,5,6}:{(235,1),(237,1),(248,1),(354,1),(357,1),(358,1),(458,1),(524,1),(545,1)}
       295:{1,3,4,5,7}:{(235,1),(238,1),(249,1),(262,1),(344,1),(358,1),(383,1),(459,1),(477,1),(526,1),(547,1)}
       296:{1,3,4,6}:{(236,1),(239,1),(263,1),(359,1),(362,1),(463,1)}
       297:{1,2,5}:{(236,1),(359,1)}
       298:{1,5,6}:{(237,1),(241,1),(361,1)}
       299:{2,5,7}:{(237,1),(238,1),(242,1),(361,1)}
       300:{1,3,5,7}:{(239,1),(240,1),(243,1),(266,1),(359,1),(362,1),(364,1),(370,1),(469,1)}
       301:{1,2,4,6}:{(240,1),(241,1),(253,1),(267,1),(349,1),(360,1),(362,1),(452,1),(463,1)}
       302:{1,4,6,7}:{(241,1),(242,1),(254,1),(361,1),(372,1)}
       303:{1,3,6}:{(243,1),(244,1),(269,1),(364,1)}
       304:{1,2,4,7}:{(244,1),(270,1),(352,1),(364,1),(454,1)}
       305:{1,2,3,5}:{(353,1),(365,1),(456,1),(465,1)}
       306:{1,3,4,5}:{(245,1),(247,1),(367,1),(368,1),(370,1),(465,1),(521,1)}
       307:{2,3,4,6}:{(245,1),(248,1),(354,1),(368,1),(369,1),(467,1),(476,1),(524,1)}
       308:{1,3,4}:{(246,1),(366,1),(370,1)}
       309:{1,2,4,5}:{(246,1),(247,1),(250,1),(367,1),(370,1),(371,1)}
       310:{1,4,6}:{(247,1),(248,1),(251,1),(372,1)}
       311:{2,4,7}:{(248,1),(249,1),(252,1),(372,1)}
       312:{1,2,5,6}:{(250,1),(251,1),(253,1),(371,1),(373,1),(458,1)}
       313:{1,3,5,7}:{(251,1),(252,1),(254,1),(361,1),(372,1),(373,1),(469,1)}
       314:{1,2,6,7}:{(253,1),(254,1),(373,1),(515,1)}
       315:{3,4,6,7}:{(255,1),(262,1),(374,1)}
       316:{2,3,4,6,7}:{(256,1),(263,1),(271,1),(345,1),(375,1),(378,1),(387,1),(444,1),(472,1),(475,1),(478,1),(514,1),(529,1),(546,1)}
       317:{2,3,5,6,7}:{(255,1),(257,1),(265,1),(273,1),(347,1),(374,1),(376,1),(445,1)}
       318:{2,3,5,7}:{(256,1),(258,1),(274,1),(348,1),(377,1),(378,1)}
       319:{1,3,6,7}:{(257,1),(260,1),(276,1),(379,1)}
       320:{2,4,5}:{(258,1),(277,1),(350,1),(380,1)}
       321:{2,3,5,6}:{(258,1),(259,1),(269,1),(278,1),(351,1),(378,1),(380,1),(381,1),(474,1)}
       322:{2,5,7}:{(259,1),(260,1),(270,1),(379,1)}
       323:{1,4,5,6}:{(261,1),(264,1),(382,1),(383,1),(394,1),(463,1)}
       324:{2,4,5,7}:{(261,1),(262,1),(265,1),(374,1),(383,1),(478,1)}
       325:{2,3,5}:{(263,1),(280,1),(359,1),(384,1)}
       326:{2,5,6}:{(264,1),(267,1),(386,1)}
       327:{1,3,5,7}:{(264,1),(265,1),(268,1),(282,1),(361,1),(383,1),(386,1),(477,1),(520,1),(552,1)}
       328:{2,3,6}:{(266,1),(267,1),(283,1),(362,1)}
       329:{2,4,6,7}:{(267,1),(268,1),(270,1),(379,1),(386,1),(387,1),(468,1),(478,1),(515,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(364,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(280,1),(375,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(275,1),(389,1),(474,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(282,1),(520,1)}
       334:{1,3,4,5,7}:{(274,1),(277,1),(377,1),(388,1),(391,1),(393,1),(470,1),(481,1)}
       335:{1,3,6}:{(274,1),(275,1),(378,1)}
       336:{1,2,4,6,7}:{(275,1),(276,1),(279,1),(379,1),(390,1),(392,1),(471,1),(475,1),(480,1)}
       337:{1,3,4,6}:{(277,1),(278,1),(380,1),(393,1),(394,1),(476,1)}
       338:{1,3,5,7}:{(278,1),(279,1),(285,1),(381,1),(392,1),(393,1),(477,1)}
       339:{1,4,5}:{(280,1),(384,1),(394,1)}
       340:{1,3,5,6}:{(280,1),(281,1),(283,1),(385,1),(394,1),(395,1)}
       341:{1,2,5,7}:{(281,1),(282,1),(284,1),(386,1),(395,1),(552,1)}
       342:{1,3,6,7}:{(283,1),(284,1),(285,1),(387,1),(395,1),(527,1)}
       343:{1,2,4,7}:{(286,1),(293,1),(397,1),(500,1),(541,1)}
       344:{1,3,4,6,7}:{(288,1),(295,1),(315,1),(399,1),(426,1),(485,1),(505,1)}
       345:{1,3,4,6,7}:{(287,1),(289,1),(296,1),(316,1),(397,1),(400,1),(404,1),(418,1),(487,1),(489,1),(492,1),(500,1)}
       346:{1,2,5,7}:{(287,1),(297,1),(400,1),(401,1),(551,1)}
       347:{2,5,6,7}:{(288,1),(299,1),(399,1),(402,1),(551,1)}
       348:{1,3,5,7}:{(289,1),(290,1),(291,1),(318,1),(403,1),(404,1)}
       349:{1,2,6}:{(290,1),(404,1)}
       350:{1,4,5}:{(291,1),(320,1),(406,1)}
       351:{1,3,5,6}:{(291,1),(292,1),(303,1),(321,1),(404,1),(406,1),(407,1),(491,1)}
       352:{1,2,5,7}:{(292,1),(304,1),(322,1),(405,1),(407,1)}
       353:{1,2,3,6}:{(305,1),(396,1),(408,1),(501,1)}
       354:{2,3,5,6}:{(294,1),(307,1),(410,1),(411,1),(434,1)}
       355:{1,3,4,6}:{(293,1),(308,1),(397,1),(409,1),(412,1),(424,1),(487,1)}
       356:{1,2,4,5}:{(293,1),(297,1),(412,1),(415,1),(495,1)}
       357:{1,4,5,6}:{(294,1),(298,1),(310,1),(410,1),(414,1),(539,1),(549,1)}
       358:{2,4,5,7}:{(294,1),(295,1),(299,1),(311,1),(399,1),(411,1),(414,1),(497,1),(541,1),(551,1)}
       359:{1,3,5}:{(296,1),(297,1),(325,1),(415,1)}
       360:{1,2,5,6}:{(297,1),(298,1),(301,1),(326,1),(416,1),(417,1),(491,1)}
       361:{1,5,7}:{(298,1),(299,1),(302,1)}
       362:{1,3,6}:{(300,1),(301,1),(328,1)}
       363:{1,2,4,6,7}:{(301,1),(302,1),(304,1),(314,1),(329,1),(405,1),(417,1),(418,1),(425,1),(492,1),(500,1)}
       364:{1,3,7}:{(303,1),(304,1),(330,1)}
       365:{1,2,4}:{(305,1),(419,1)}
       366:{2,3,4}:{(308,1),(419,1),(421,1)}
       367:{2,4,5}:{(306,1),(421,1),(422,1)}
       368:{1,3,4,6}:{(306,1),(307,1),(310,1),(410,1),(422,1),(423,1),(424,1),(501,1),(539,1)}
       369:{2,3,4,7}:{(307,1),(311,1),(411,1),(423,1),(503,1),(509,1),(541,1)}
       370:{1,3,5}:{(308,1),(309,1),(421,1),(424,1)}
       371:{1,2,4,6}:{(309,1),(310,1),(312,1),(422,1),(424,1),(425,1)}
       372:{1,4,7}:{(310,1),(311,1),(313,1)}
       373:{1,2,5,7}:{(312,1),(313,1),(314,1),(425,1),(497,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(324,1),(426,1)}
       375:{2,3,5,7}:{(316,1),(325,1),(331,1),(400,1),(427,1),(428,1),(508,1),(542,1),(551,1)}
       376:{1,3,5,6,7}:{(317,1),(319,1),(327,1),(333,1),(402,1),(426,1),(429,1),(485,1),(505,1)}
       377:{2,4,5,7}:{(318,1),(320,1),(334,1),(403,1),(430,1),(432,1),(508,1)}
       378:{2,3,6}:{(318,1),(335,1),(404,1),(430,1)}
       379:{2,6,7}:{(319,1),(322,1)}
       380:{2,4,6}:{(320,1),(321,1),(337,1),(406,1),(432,1)}
       381:{2,3,5,7}:{(321,1),(322,1),(330,1),(338,1),(407,1),(431,1),(432,1),(508,1)}
       382:{2,4,5,6}:{(323,1),(326,1),(434,1),(435,1),(436,1)}
       383:{1,4,5,7}:{(323,1),(324,1),(327,1),(426,1),(435,1),(442,1),(500,1)}
       384:{2,4,5}:{(325,1),(339,1),(415,1),(433,1),(436,1)}
       385:{2,3,5,6}:{(325,1),(326,1),(328,1),(340,1),(416,1),(434,1),(436,1),(437,1)}
       386:{2,5,7}:{(326,1),(327,1),(329,1)}
       387:{2,3,6,7}:{(328,1),(329,1),(330,1),(342,1),(418,1),(437,1),(503,1),(505,1)}
       388:{1,4,5,7}:{(331,1),(339,1),(427,1),(438,1),(442,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(335,1),(428,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(341,1),(429,1),(439,1),(508,1),(533,1)}
       391:{1,3,4,6}:{(334,1),(335,1),(430,1),(438,1),(440,1),(504,1)}
       392:{1,3,6,7}:{(335,1),(336,1),(338,1),(431,1),(505,1)}
       393:{1,3,4,7}:{(337,1),(338,1),(432,1),(442,1),(509,1)}
       394:{1,4,6}:{(339,1),(340,1),(436,1),(442,1)}
       395:{1,3,5,7}:{(340,1),(341,1),(342,1),(437,1),(442,1)}
       396:{1,2,3,7}:{(353,1),(443,1),(527,1)}
       397:{1,3,4,7}:{(343,1),(355,1),(444,1),(446,1),(469,1)}
       398:{1,2,4,5,7}:{(343,1),(346,1),(356,1),(446,1),(447,1),(449,1),(513,1)}
       399:{2,4,6,7}:{(344,1),(347,1),(358,1),(445,1),(448,1),(515,1)}
       400:{1,3,5,7}:{(345,1),(346,1),(359,1),(375,1),(449,1),(450,1),(520,1)}
       401:{1,2,5,6}:{(346,1),(349,1),(447,1),(450,1),(545,1)}
       402:{1,5,6,7}:{(347,1),(361,1),(448,1),(552,1)}
       403:{1,4,5,7}:{(348,1),(350,1),(377,1),(452,1),(454,1),(520,1)}
       404:{1,3,6}:{(348,1),(349,1),(378,1),(452,1)}
       405:{1,2,6,7}:{(349,1),(352,1),(379,1),(453,1)}
       406:{1,4,6}:{(350,1),(351,1),(380,1),(454,1)}
       407:{1,3,5,7}:{(351,1),(352,1),(364,1),(381,1),(453,1),(454,1),(520,1)}
       408:{1,2,4,6}:{(353,1),(365,1),(443,1),(455,1),(456,1),(512,1)}
       409:{2,3,4,6}:{(355,1),(366,1),(444,1),(455,1),(457,1),(467,1),(514,1),(524,1)}
       410:{1,3,5,6}:{(354,1),(357,1),(368,1),(458,1),(459,1)}
       411:{2,3,5,7}:{(354,1),(358,1),(369,1),(445,1),(459,1),(477,1)}
       412:{1,3,5}:{(355,1),(356,1),(457,1)}
       413:{1,2,4,5,6}:{(356,1),(357,1),(360,1),(371,1),(382,1),(447,1),(458,1),(461,1),(462,1),(463,1),(518,1),(524,1),(545,1)}
       414:{1,4,5,7}:{(357,1),(358,1),(361,1),(372,1),(448,1),(459,1),(548,1),(552,1)}
       415:{1,4,5}:{(359,1),(384,1),(463,1)}
       416:{1,3,5,6}:{(359,1),(360,1),(362,1),(385,1),(463,1),(464,1)}
       417:{1,2,5,7}:{(360,1),(361,1),(363,1),(386,1),(464,1),(520,1)}
       418:{1,3,6,7}:{(362,1),(363,1),(364,1),(387,1),(464,1),(469,1)}
       419:{1,3,4}:{(365,1),(366,1),(465,1)}
       420:{1,2,4,5}:{(365,1),(367,1),(456,1),(465,1),(466,1),(521,1)}
       421:{2,3,5}:{(366,1),(367,1),(370,1),(465,1),(467,1)}
       422:{2,4,6}:{(367,1),(368,1),(458,1),(467,1),(468,1)}
       423:{1,3,4,7}:{(368,1),(369,1),(372,1),(459,1),(468,1),(469,1),(527,1),(548,1)}
       424:{1,3,6}:{(370,1),(371,1),(467,1),(469,1)}
       425:{1,2,4,7}:{(371,1),(372,1),(373,1),(468,1),(469,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(383,1),(471,1)}
       427:{2,4,5,7}:{(375,1),(384,1),(388,1),(449,1),(470,1),(472,1),(478,1)}
       428:{2,3,5,6}:{(375,1),(378,1),(389,1),(450,1),(472,1),(474,1),(514,1),(528,1),(545,1)}
       429:{2,5,6,7}:{(376,1),(379,1),(386,1),(471,1),(515,1)}
       430:{2,4,6}:{(377,1),(378,1),(391,1),(452,1),(474,1)}
       431:{2,3,6,7}:{(378,1),(379,1),(381,1),(392,1),(453,1),(475,1)}
       432:{2,4,7}:{(380,1),(381,1),(393,1),(454,1)}
       433:{3,4,5}:{(384,1),(476,1)}
       434:{3,5,6}:{(382,1),(476,1),(477,1)}
       435:{2,4,5,7}:{(382,1),(383,1),(386,1),(471,1),(477,1),(478,1)}
       436:{2,4,6}:{(384,1),(385,1),(394,1),(463,1),(476,1),(478,1)}
       437:{2,3,5,7}:{(385,1),(386,1),(387,1),(395,1),(464,1),(477,1),(478,1)}
       438:{1,4,6}:{(388,1),(389,1),(472,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(395,1),(473,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,3,5,6}:{(391,1),(474,1),(479,1),(481,1),(528,1)}
       441:{1,3,4,6,7}:{(391,1),(392,1),(393,1),(475,1),(480,1),(481,1),(529,1)}
       442:{1,4,7}:{(394,1),(395,1),(478,1)}
       443:{1,2,4,7}:{(396,1),(408,1),(482,1),(483,1)}
       444:{2,3,4,7}:{(397,1),(409,1),(482,1),(484,1),(503,1),(541,1)}
       445:{2,3,6,7}:{(399,1),(411,1),(485,1),(505,1)}
       446:{1,3,5,7}:{(397,1),(398,1),(412,1),(484,1),(487,1)}
       447:{1,2,4,6}:{(398,1),(401,1),(487,1),(489,1),(534,1)}
       448:{1,4,6,7}:{(399,1),(402,1),(414,1),(485,1)}
       449:{1,4,5,7}:{(400,1),(415,1),(427,1),(489,1),(500,1)}
       450:{1,3,5,6}:{(400,1),(401,1),(404,1),(428,1),(487,1),(489,1),(491,1)}
       451:{1,2,5,6,7}:{(401,1),(402,1),(405,1),(417,1),(429,1),(488,1),(490,1),(551,1)}
       452:{1,4,6}:{(403,1),(404,1),(430,1),(491,1)}
       453:{1,3,6,7}:{(404,1),(405,1),(407,1),(431,1),(492,1)}
       454:{1,4,7}:{(406,1),(407,1),(432,1)}
       455:{1,3,4,6}:{(408,1),(409,1),(419,1),(482,1),(493,1),(501,1),(532,1),(539,1)}
       456:{1,2,5}:{(408,1),(493,1)}
       457:{2,3,5}:{(409,1),(412,1),(493,1),(495,1)}
       458:{2,5,6}:{(410,1),(422,1),(497,1)}
       459:{1,3,5,7}:{(410,1),(411,1),(414,1),(423,1),(485,1),(497,1)}
       460:{1,3,4,5}:{(412,1),(415,1),(433,1),(495,1),(498,1)}
       461:{1,3,5,6}:{(412,1),(413,1),(424,1),(434,1),(487,1),(496,1),(498,1),(499,1)}
       462:{1,2,4,5,7}:{(413,1),(414,1),(417,1),(425,1),(435,1),(488,1),(497,1),(499,1),(500,1),(538,1),(541,1),(551,1)}
       463:{1,4,6}:{(415,1),(416,1),(436,1),(500,1)}
       464:{1,3,5,7}:{(416,1),(417,1),(418,1),(437,1),(500,1)}
       465:{1,3,5}:{(419,1),(420,1),(421,1),(501,1)}
       466:{1,2,4,6}:{(420,1),(422,1),(494,1),(501,1),(502,1),(539,1)}
       467:{2,3,6}:{(421,1),(422,1),(424,1),(501,1),(503,1)}
       468:{2,4,7}:{(422,1),(423,1),(497,1),(503,1)}
       469:{1,3,7}:{(424,1),(425,1),(503,1)}
       470:{3,4,5,7}:{(427,1),(433,1),(504,1),(509,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(435,1),(505,1)}
       472:{2,4,6}:{(427,1),(428,1),(438,1),(489,1),(504,1)}
       473:{2,3,5,6,7}:{(428,1),(429,1),(431,1),(437,1),(439,1),(490,1),(505,1),(507,1),(508,1),(535,1),(542,1),(551,1)}
       474:{2,5,6}:{(430,1),(440,1),(491,1),(508,1)}
       475:{2,4,6,7}:{(430,1),(431,1),(432,1),(441,1),(492,1),(508,1)}
       476:{3,4,6}:{(433,1),(434,1),(436,1),(509,1)}
       477:{3,5,7}:{(434,1),(435,1),(505,1),(509,1)}
       478:{2,4,7}:{(436,1),(437,1),(442,1),(500,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(440,1),(506,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(442,1),(507,1),(510,1)}
       481:{1,3,5,7}:{(440,1),(441,1),(508,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(455,1),(511,1),(527,1),(548,1)}
       483:{1,2,5,7}:{(443,1),(456,1),(511,1),(512,1)}
       484:{2,3,5,7}:{(444,1),(446,1),(457,1),(511,1),(513,1),(514,1)}
       485:{1,3,6,7}:{(445,1),(448,1),(459,1),(515,1)}
       486:{1,3,4,5,7}:{(446,1),(449,1),(460,1),(470,1),(513,1),(516,1),(526,1),(547,1)}
       487:{1,3,6}:{(446,1),(447,1),(514,1)}
       488:{1,2,4,6,7}:{(447,1),(448,1),(451,1),(462,1),(471,1),(515,1),(517,1),(519,1),(546,1)}
       489:{1,4,6}:{(449,1),(450,1),(472,1)}
       490:{1,3,5,6,7}:{(450,1),(451,1),(453,1),(464,1),(473,1),(517,1),(519,1),(520,1),(547,1)}
       491:{1,5,6}:{(452,1),(474,1),(520,1)}
       492:{1,4,6,7}:{(452,1),(453,1),(454,1),(475,1),(520,1)}
       493:{1,3,5}:{(455,1),(456,1),(457,1),(521,1)}
       494:{1,2,5,6}:{(456,1),(458,1),(466,1),(512,1),(522,1),(523,1)}
       495:{2,4,5}:{(457,1),(460,1),(521,1),(524,1)}
       496:{2,3,5,6}:{(457,1),(458,1),(461,1),(467,1),(514,1),(522,1),(524,1),(525,1),(545,1)}
       497:{2,5,7}:{(458,1),(459,1),(468,1),(515,1)}
       498:{1,3,4,6}:{(460,1),(461,1),(463,1),(476,1),(524,1),(526,1)}
       499:{1,3,5,7}:{(461,1),(462,1),(469,1),(477,1),(517,1),(525,1),(526,1)}
       500:{1,4,7}:{(463,1),(464,1),(478,1)}
       501:{1,3,6}:{(465,1),(466,1),(467,1),(527,1)}
       502:{1,2,4,7}:{(466,1),(468,1),(523,1),(527,1),(548,1)}
       503:{2,3,7}:{(467,1),(468,1),(469,1),(527,1)}
       504:{3,4,6}:{(470,1),(472,1),(528,1)}
       505:{3,6,7}:{(471,1),(477,1)}
       506:{2,4,5,6}:{(472,1),(474,1),(479,1),(518,1),(528,1),(530,1),(545,1)}
       507:{2,4,6,7}:{(472,1),(473,1),(478,1),(480,1),(519,1),(529,1),(530,1)}
       508:{2,5,7}:{(474,1),(475,1),(481,1),(520,1)}
       509:{3,4,7}:{(476,1),(477,1),(478,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(493,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{2,4,5,7}:{(484,1),(486,1),(495,1),(531,1),(534,1),(541,1),(551,1)}
       514:{2,3,6}:{(484,1),(487,1),(532,1),(534,1)}
       515:{2,6,7}:{(485,1),(497,1)}
       516:{1,3,4,6}:{(486,1),(487,1),(489,1),(504,1),(534,1),(536,1)}
       517:{1,3,6,7}:{(487,1),(488,1),(499,1),(505,1),(535,1)}
       518:{1,4,5,6}:{(489,1),(491,1),(506,1),(536,1),(538,1)}
       519:{1,4,6,7}:{(489,1),(490,1),(500,1),(507,1),(538,1)}
       520:{1,5,7}:{(491,1),(492,1),(508,1)}
       521:{1,4,5}:{(493,1),(495,1),(539,1)}
       522:{1,3,5,6}:{(493,1),(494,1),(496,1),(501,1),(532,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(494,1),(497,1),(502,1),(533,1),(540,1)}
       524:{2,4,6}:{(495,1),(496,1),(498,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(496,1),(497,1),(499,1),(503,1),(535,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(498,1),(499,1),(500,1),(509,1),(541,1)}
       527:{1,3,7}:{(501,1),(502,1),(503,1)}
       528:{3,5,6}:{(504,1),(506,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(507,1),(509,1),(542,1)}
       530:{2,4,5,7}:{(506,1),(507,1),(508,1),(510,1),(538,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(521,1),(543,1),(548,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(514,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(523,1),(544,1)}
       534:{2,4,6}:{(513,1),(514,1),(516,1),(543,1),(545,1)}
       535:{2,3,6,7}:{(514,1),(515,1),(517,1),(525,1),(544,1),(546,1)}
       536:{1,3,5,6}:{(516,1),(518,1),(528,1),(545,1),(547,1)}
       537:{1,3,4,6,7}:{(516,1),(517,1),(519,1),(526,1),(529,1),(546,1),(547,1)}
       538:{1,4,5,7}:{(518,1),(519,1),(520,1),(530,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(527,1),(544,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(534,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(540,1),(550,1)}
       545:{2,5,6}:{(534,1),(536,1),(549,1),(551,1)}
       546:{2,4,6,7}:{(534,1),(535,1),(537,1),(541,1),(550,1),(551,1)}
       547:{1,3,5,7}:{(536,1),(537,1),(538,1),(542,1),(551,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(543,1),(545,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(546,1),(548,1),(552,1)}
       551:{2,5,7}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2045 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2046 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2047 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(54,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(25,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(32,1),(82,1),(154,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(54,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(16,1),(115,1),(194,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(125,1),(135,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(54,1),(62,1),(115,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(19,1),(23,1),(25,1),(113,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(234,1),(286,1)}
        16:{3,4,6,7}:{(7,1),(30,1),(32,1)}
        17:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(32,1),(33,1),(39,1),(74,1),(77,1)}
        18:{2,3,4,5,7}:{(8,1),(34,1),(35,1),(36,1),(70,1),(77,1),(136,1),(157,1),(170,1),(227,1),(278,1),(283,1),(287,1),(309,1)}
        19:{2,3,4,6}:{(8,1),(12,1),(36,1),(37,1),(99,1),(150,1),(161,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(37,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(88,1),(99,1),(148,1),(168,1),(172,1),(229,1),(240,1),(242,1),(243,1),(287,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(105,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(16,1),(46,1),(48,1),(54,1),(107,1),(115,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(16,1),(50,1),(194,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(262,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(50,1),(54,1)}
        33:{1,3,5,6,7}:{(17,1),(22,1),(49,1),(54,1),(55,1),(62,1),(107,1),(110,1),(115,1)}
        34:{2,3,4,6}:{(18,1),(51,1),(56,1),(196,1),(209,1),(261,1),(262,1),(297,1),(313,1)}
        35:{1,3,4,5,7}:{(18,1),(20,1),(56,1),(57,1),(58,1),(102,1),(110,1),(119,1),(173,1),(188,1),(191,1),(208,1),(259,1),(263,1),(296,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(58,1),(132,1),(188,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(25,1),(58,1),(59,1),(123,1),(134,1)}
        38:{2,4,5}:{(20,1),(59,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(115,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(55,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(121,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(268,1),(300,1)}
        44:{2,5,6}:{(25,1),(59,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(113,1),(123,1),(204,1),(269,1),(302,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(71,1),(78,1),(139,1),(147,1),(217,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(141,1),(219,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(71,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(32,1),(77,1),(78,1),(283,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(77,1),(79,1),(234,1),(242,1),(282,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(229,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(81,1),(136,1),(153,1),(166,1),(222,1),(231,1),(283,1)}
        54:{1,4,6,7}:{(32,1),(33,1),(78,1),(82,1)}
        55:{2,5,6,7}:{(33,1),(82,1),(92,1),(143,1),(146,1)}
        56:{1,3,4,6}:{(34,1),(35,1),(79,1),(84,1),(150,1),(155,1),(229,1),(243,1),(308,1)}
        57:{2,4,5,7}:{(35,1),(38,1),(84,1),(86,1),(87,1),(138,1),(146,1),(210,1),(226,1),(230,1)}
        58:{1,3,4,7}:{(36,1),(37,1),(42,1),(87,1),(159,1),(169,1)}
        59:{2,4,6}:{(37,1),(38,1),(44,1),(87,1),(89,1)}
        60:{1,2,4,5}:{(38,1),(88,1),(90,1),(164,1),(172,1),(240,1)}
        61:{2,3,5}:{(38,1),(89,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(82,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(83,1),(93,1),(94,1),(167,1),(221,1),(225,1),(281,1),(289,1)}
        65:{2,5,7}:{(42,1),(44,1),(87,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(159,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(88,1),(95,1),(98,1),(240,1),(290,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(89,1),(96,1),(98,1),(99,1),(161,1),(163,1),(239,1),(240,1),(242,1),(290,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(150,1),(229,1),(286,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(248,1),(254,1)}
        71:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(104,1),(177,1),(251,1),(256,1)}
        72:{2,3,5,6}:{(47,1),(101,1),(103,1),(105,1),(113,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(253,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(115,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(104,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(55,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(194,1),(206,1),(256,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(54,1),(110,1),(111,1),(259,1)}
        79:{1,3,5,6}:{(51,1),(52,1),(56,1),(110,1),(112,1),(113,1),(270,1),(298,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(190,1)}
        81:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(58,1),(62,1),(107,1),(110,1),(114,1),(115,1),(173,1),(188,1),(192,1),(205,1),(255,1),(259,1)}
        82:{2,4,6,7}:{(54,1),(55,1),(111,1),(115,1)}
        83:{2,3,5,6,7}:{(55,1),(64,1),(109,1),(115,1),(116,1),(128,1),(183,1),(187,1),(194,1),(206,1),(256,1),(258,1),(266,1),(303,1),(313,1)}
        84:{2,4,6}:{(56,1),(57,1),(112,1),(118,1)}
        85:{1,2,4,5,7}:{(57,1),(60,1),(117,1),(119,1),(121,1),(175,1),(186,1),(199,1),(208,1),(244,1),(259,1),(263,1),(267,1),(268,1),(296,1),(300,1),(311,1)}
        86:{2,3,5,7}:{(57,1),(61,1),(118,1),(119,1),(120,1),(122,1),(176,1),(198,1),(245,1)}
        87:{2,4,7}:{(58,1),(59,1),(65,1),(122,1)}
        88:{1,2,4,6}:{(59,1),(60,1),(67,1),(121,1),(123,1),(134,1),(203,1)}
        89:{2,3,6}:{(59,1),(61,1),(122,1),(123,1)}
        90:{1,3,5}:{(60,1),(61,1),(123,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(115,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(116,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(121,1),(127,1),(131,1),(268,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(122,1),(128,1),(131,1),(132,1),(200,1),(206,1),(268,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(123,1),(131,1),(134,1),(204,1),(269,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(191,1),(204,1),(263,1),(302,1)}
       101:{2,3,4,6}:{(70,1),(72,1),(136,1),(137,1),(150,1),(219,1),(273,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(213,1),(280,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(147,1)}
       104:{1,4,5,7}:{(71,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(137,1),(139,1),(141,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(148,1),(211,1),(219,1),(224,1),(229,1),(280,1),(282,1),(287,1),(307,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(82,1),(140,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(83,1),(144,1),(145,1),(165,1),(223,1),(225,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(81,1),(146,1),(147,1),(241,1),(281,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(82,1),(146,1),(147,1),(226,1)}
       112:{2,5,6}:{(79,1),(84,1),(146,1)}
       113:{3,5,6}:{(80,1),(147,1),(150,1)}
       114:{2,4,6,7}:{(81,1),(84,1),(87,1),(92,1),(143,1),(146,1),(152,1),(210,1),(226,1)}
       115:{3,6,7}:{(82,1),(147,1)}
       116:{2,4,6,7}:{(83,1),(94,1),(145,1),(153,1),(154,1),(226,1),(283,1),(285,1),(310,1)}
       117:{1,2,4,6}:{(84,1),(85,1),(148,1),(155,1),(229,1),(235,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       118:{2,3,6}:{(84,1),(86,1),(155,1)}
       119:{1,3,5,7}:{(85,1),(86,1),(90,1),(155,1),(157,1),(158,1),(159,1),(213,1),(236,1),(271,1),(309,1)}
       120:{2,3,4,7}:{(86,1),(91,1),(156,1),(158,1),(214,1),(226,1)}
       121:{1,2,4,7}:{(87,1),(88,1),(95,1),(159,1),(169,1),(237,1)}
       122:{2,3,7}:{(87,1),(89,1),(159,1)}
       123:{1,3,6}:{(88,1),(89,1),(90,1),(159,1),(161,1)}
       124:{2,3,4,6}:{(89,1),(91,1),(99,1),(160,1),(162,1),(163,1),(239,1),(286,1)}
       125:{2,3,5}:{(90,1),(161,1),(164,1),(240,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(239,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(153,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(154,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(159,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(238,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(163,1),(172,1),(240,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(173,1),(188,1),(251,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(105,1),(173,1),(174,1),(246,1),(253,1)}
       138:{2,4,5}:{(102,1),(174,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(173,1),(177,1)}
       140:{1,2,4,5,7}:{(104,1),(106,1),(108,1),(111,1),(177,1),(178,1),(185,1),(186,1),(244,1),(251,1),(256,1),(259,1),(296,1),(300,1),(311,1)}
       141:{2,5,6}:{(105,1),(174,1),(177,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(178,1),(180,1),(181,1),(246,1),(295,1),(302,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(177,1)}
       144:{1,3,6,7}:{(108,1),(115,1),(178,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(116,1),(185,1),(259,1),(301,1)}
       146:{2,5,7}:{(110,1),(112,1),(114,1)}
       147:{3,5,7}:{(111,1),(113,1),(115,1),(188,1)}
       148:{1,2,5,6}:{(112,1),(117,1),(186,1),(189,1),(267,1),(270,1),(298,1),(303,1)}
       149:{2,3,5,6}:{(112,1),(113,1),(118,1),(187,1),(189,1),(190,1),(198,1)}
       150:{3,4,6}:{(113,1),(188,1),(190,1),(191,1)}
       151:{1,2,4,6,7}:{(114,1),(117,1),(121,1),(127,1),(182,1),(186,1),(192,1),(205,1),(244,1),(255,1),(259,1),(264,1)}
       152:{2,3,6,7}:{(114,1),(115,1),(118,1),(122,1),(187,1),(192,1),(245,1)}
       153:{3,4,6,7}:{(115,1),(116,1),(188,1),(194,1),(261,1),(299,1),(313,1)}
       154:{2,4,5,7}:{(116,1),(130,1),(185,1),(194,1),(195,1),(206,1),(256,1)}
       155:{1,3,6}:{(117,1),(118,1),(119,1),(196,1),(313,1)}
       156:{2,3,4,6}:{(118,1),(120,1),(190,1),(197,1),(198,1)}
       157:{2,3,5,7}:{(119,1),(125,1),(196,1),(199,1),(200,1),(248,1),(267,1),(268,1),(291,1),(311,1)}
       158:{1,3,4,7}:{(119,1),(120,1),(126,1),(197,1),(199,1),(249,1),(259,1),(299,1)}
       159:{1,3,7}:{(121,1),(122,1),(123,1),(200,1)}
       160:{2,3,4,7}:{(122,1),(124,1),(132,1),(201,1),(202,1),(299,1)}
       161:{2,3,6}:{(123,1),(125,1),(200,1),(203,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(134,1),(201,1),(203,1),(204,1),(269,1)}
       163:{2,3,5}:{(124,1),(135,1),(204,1),(302,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(194,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(195,1),(207,1),(298,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(202,1),(206,1),(208,1),(209,1),(268,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(269,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(204,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(271,1),(277,1)}
       174:{2,4,6}:{(137,1),(138,1),(141,1),(210,1),(212,1)}
       175:{1,2,4,5}:{(138,1),(211,1),(213,1),(276,1),(280,1),(307,1)}
       176:{2,3,5}:{(138,1),(212,1),(213,1),(214,1)}
       177:{2,5,7}:{(139,1),(141,1),(143,1),(210,1)}
       178:{1,3,5,7}:{(140,1),(142,1),(144,1),(147,1),(216,1),(217,1),(271,1),(309,1)}
       179:{1,2,5,6}:{(141,1),(211,1),(215,1),(218,1),(307,1),(314,1)}
       180:{2,3,5,6}:{(141,1),(142,1),(212,1),(216,1),(218,1),(219,1),(273,1),(275,1),(282,1),(306,1),(307,1),(314,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(217,1),(219,1),(220,1),(229,1),(286,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(216,1),(221,1),(222,1),(306,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(153,1),(217,1),(222,1),(223,1),(279,1)}
       185:{1,4,5,7}:{(145,1),(154,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(151,1),(225,1),(241,1),(281,1),(288,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(150,1),(226,1)}
       189:{1,3,5,6}:{(148,1),(149,1),(155,1),(225,1),(228,1),(229,1),(236,1)}
       190:{2,4,6}:{(149,1),(150,1),(226,1),(229,1),(230,1)}
       191:{3,4,5}:{(150,1),(230,1)}
       192:{1,3,6,7}:{(151,1),(152,1),(155,1),(159,1),(225,1),(231,1),(271,1)}
       193:{2,3,4,6,7}:{(152,1),(153,1),(156,1),(160,1),(166,1),(222,1),(226,1),(232,1),(233,1),(239,1),(272,1),(285,1),(306,1)}
       194:{3,5,7}:{(153,1),(154,1),(234,1)}
       195:{2,4,5,6}:{(154,1),(168,1),(224,1),(234,1),(242,1),(282,1),(285,1),(310,1)}
       196:{2,3,6}:{(155,1),(157,1),(235,1),(290,1),(314,1)}
       197:{1,3,4,6}:{(155,1),(156,1),(158,1),(229,1),(235,1),(236,1),(286,1)}
       198:{2,3,5}:{(156,1),(230,1),(236,1)}
       199:{2,4,7}:{(157,1),(158,1),(164,1),(235,1),(276,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{1,3,4,7}:{(159,1),(160,1),(162,1),(169,1),(237,1),(238,1)}
       202:{2,3,5,7}:{(160,1),(163,1),(170,1),(238,1),(239,1),(309,1)}
       203:{2,4,6}:{(161,1),(162,1),(164,1),(237,1),(240,1),(290,1)}
       204:{1,3,5}:{(162,1),(163,1),(172,1),(240,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(234,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(238,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(239,1),(242,1),(243,1),(290,1)}
       210:{2,4,7}:{(173,1),(174,1),(177,1),(245,1)}
       211:{1,2,4,6}:{(174,1),(175,1),(179,1),(244,1),(246,1),(253,1),(294,1)}
       212:{2,3,6}:{(174,1),(176,1),(245,1),(246,1)}
       213:{1,3,5}:{(175,1),(176,1),(246,1),(248,1),(249,1)}
       214:{2,3,4}:{(176,1),(249,1)}
       215:{1,2,5,7}:{(177,1),(179,1),(182,1),(244,1),(250,1),(311,1)}
       216:{2,3,5,7}:{(177,1),(178,1),(180,1),(183,1),(245,1),(250,1),(251,1),(256,1),(291,1),(311,1)}
       217:{1,3,4,7}:{(178,1),(181,1),(188,1),(251,1),(259,1),(299,1)}
       218:{1,3,5,6}:{(179,1),(180,1),(246,1),(250,1),(253,1),(295,1),(298,1),(312,1)}
       219:{2,4,6}:{(180,1),(181,1),(251,1),(253,1),(254,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(254,1),(263,1),(295,1),(302,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(251,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(194,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(195,1),(257,1),(270,1),(301,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(190,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(194,1),(260,1),(261,1)}
       228:{2,3,5,6}:{(189,1),(196,1),(258,1),(262,1),(267,1),(302,1),(303,1),(313,1)}
       229:{1,4,6}:{(189,1),(190,1),(259,1),(262,1),(263,1)}
       230:{2,4,5}:{(190,1),(191,1),(198,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(196,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{1,3,4,6,7}:{(192,1),(193,1),(197,1),(201,1),(205,1),(255,1),(259,1),(264,1),(265,1),(269,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       233:{2,3,5,7}:{(193,1),(194,1),(198,1),(206,1),(256,1),(260,1),(265,1),(266,1)}
       234:{3,5,6}:{(194,1),(195,1),(261,1),(313,1)}
       235:{2,4,6}:{(196,1),(197,1),(199,1),(267,1)}
       236:{1,3,5}:{(197,1),(198,1),(263,1),(267,1),(302,1)}
       237:{2,4,7}:{(200,1),(201,1),(203,1),(268,1)}
       238:{1,3,5,7}:{(201,1),(202,1),(204,1),(208,1),(268,1),(269,1)}
       239:{2,3,6}:{(202,1),(209,1),(269,1),(313,1)}
       240:{2,5}:{(203,1),(204,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(215,1),(271,1),(277,1),(304,1)}
       245:{2,3,7}:{(210,1),(212,1),(271,1)}
       246:{1,3,6}:{(211,1),(212,1),(213,1),(271,1),(273,1)}
       247:{2,3,4,6}:{(212,1),(214,1),(219,1),(272,1),(274,1),(275,1),(286,1),(306,1)}
       248:{2,3,5}:{(213,1),(273,1),(276,1),(307,1)}
       249:{1,3,4}:{(213,1),(214,1),(276,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(218,1),(221,1),(271,1),(277,1),(281,1)}
       251:{2,4,7}:{(216,1),(217,1),(219,1),(277,1)}
       252:{1,3,4,5,7}:{(217,1),(220,1),(223,1),(227,1),(278,1),(279,1),(284,1),(305,1),(309,1)}
       253:{1,4,6}:{(218,1),(219,1),(277,1),(280,1)}
       254:{2,4,5}:{(219,1),(220,1),(275,1),(280,1),(307,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(234,1),(279,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(231,1),(283,1),(288,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(229,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(234,1),(285,1)}
       262:{2,4,6}:{(228,1),(229,1),(283,1),(286,1),(287,1)}
       263:{1,4,5}:{(229,1),(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(235,1),(237,1),(283,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{1,3,5,7}:{(232,1),(233,1),(236,1),(241,1),(281,1),(284,1),(288,1),(289,1),(309,1)}
       266:{2,3,5,6}:{(233,1),(234,1),(239,1),(242,1),(282,1),(285,1),(289,1),(306,1)}
       267:{2,5}:{(235,1),(236,1)}
       268:{2,5,7}:{(237,1),(238,1),(240,1),(290,1)}
       269:{1,3,6}:{(238,1),(239,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(246,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(251,1),(292,1),(293,1),(299,1)}
       273:{2,3,6}:{(246,1),(248,1),(291,1),(294,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(253,1),(292,1),(294,1),(295,1),(312,1)}
       275:{2,3,5}:{(247,1),(254,1),(295,1),(302,1)}
       276:{2,4}:{(248,1),(249,1)}
       277:{1,4,7}:{(250,1),(251,1),(253,1)}
       278:{2,4,5,7}:{(251,1),(252,1),(254,1),(256,1),(293,1),(296,1),(297,1),(311,1)}
       279:{1,3,4,6}:{(252,1),(257,1),(261,1),(297,1),(301,1),(312,1),(313,1)}
       280:{1,4,5}:{(253,1),(254,1),(295,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{2,4,7}:{(258,1),(259,1),(262,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(265,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(266,1),(301,1)}
       286:{3,4,6}:{(262,1),(299,1),(302,1),(313,1)}
       287:{2,4,5}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(267,1),(303,1)}
       289:{1,3,5,6}:{(265,1),(266,1),(269,1),(270,1),(298,1),(301,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(274,1),(277,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(275,1),(278,1),(305,1),(306,1),(309,1)}
       294:{2,4,6}:{(273,1),(274,1),(276,1),(304,1),(307,1),(314,1)}
       295:{1,3,5}:{(274,1),(275,1),(280,1),(307,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(280,1),(281,1),(305,1),(308,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(306,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(286,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(287,1),(288,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(289,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(295,1),(296,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(297,1),(312,1),(313,1)}
       307:{2,5}:{(294,1),(295,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(302,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(307,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2048 :   0:{1,2,3,6,7}:{(2,1),(3,1),(48,1),(106,1),(172,1),(272,1),(376,1),(380,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(48,1),(54,1),(174,1),(272,1),(274,1),(276,1),(375,1),(379,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(130,1),(143,1),(220,1),(327,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(81,1),(328,1),(330,1),(424,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(79,1),(225,1),(425,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(109,1),(169,1),(194,1),(297,1),(512,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(48,1),(94,1),(170,1),(268,1),(376,1),(377,1),(467,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(188,1),(379,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(112,1),(467,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(52,1),(379,1),(468,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(48,1),(276,1),(277,1)}
        11:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(62,1),(76,1),(147,1),(216,1),(247,1)}
        12:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(63,1),(209,1),(348,1),(485,1),(487,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(31,1),(64,1),(66,1),(74,1),(128,1),(133,1),(143,1),(216,1),(340,1),(341,1),(438,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(321,1),(427,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(29,1),(142,1),(220,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(29,1),(30,1),(72,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(30,1),(31,1),(330,1)}
        18:{1,2,4,5,6}:{(9,1),(29,1),(33,1),(34,1),(69,1),(79,1),(142,1),(151,1),(222,1),(236,1),(322,1),(336,1),(425,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(31,1),(35,1),(36,1),(74,1),(79,1),(238,1),(239,1)}
        21:{1,2,3,5,6}:{(12,1),(37,1),(39,1),(86,1),(92,1),(161,1),(194,1),(296,1),(300,1),(359,1),(449,1),(451,1)}
        22:{1,3,4,6,7}:{(11,1),(13,1),(38,1),(41,1),(50,1),(89,1),(92,1),(107,1),(190,1),(297,1),(298,1),(399,1)}
        23:{1,2,5,7}:{(11,1),(38,1),(39,1),(266,1),(300,1)}
        24:{1,2,4,7}:{(12,1),(37,1),(41,1),(259,1),(399,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(43,1),(177,1),(188,1),(266,1),(393,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(48,1),(170,1),(267,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(467,1),(468,1)}
        28:{1,2,5,6,7}:{(15,1),(44,1),(47,1),(188,1),(271,1),(294,1),(374,1),(389,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(45,1),(48,1),(104,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1)}
        31:{2,3,4,7}:{(17,1),(20,1),(49,1),(50,1),(112,1),(292,1)}
        32:{1,3,4,5}:{(19,1),(51,1),(52,1),(468,1),(476,1)}
        33:{1,2,4,5,7}:{(18,1),(47,1),(53,1),(101,1),(112,1),(188,1),(197,1),(275,1),(290,1),(374,1),(387,1),(467,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(48,1),(51,1),(53,1),(54,1),(276,1),(388,1)}
        35:{2,3,5}:{(19,1),(20,1),(52,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(107,1),(113,1),(200,1),(201,1)}
        37:{1,2,4,6}:{(21,1),(24,1),(57,1),(58,1),(207,1),(349,1),(409,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(59,1),(60,1),(241,1),(351,1)}
        39:{1,2,5,6}:{(23,1),(59,1),(62,1),(147,1),(215,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(57,1),(60,1),(62,1),(63,1),(126,1)}
        41:{1,3,4,7}:{(24,1),(58,1),(63,1),(64,1),(487,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(59,1),(66,1),(74,1),(128,1),(132,1),(142,1),(215,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(60,1),(66,1),(67,1),(438,1),(439,1)}
        44:{1,3,5,6,7}:{(26,1),(28,1),(65,1),(70,1),(73,1),(141,1),(219,1),(321,1),(424,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(30,1),(32,1),(67,1),(71,1),(72,1),(78,1),(141,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(70,1),(73,1),(143,1),(248,1),(342,1),(434,1)}
        48:{1,3,6}:{(29,1),(30,1),(74,1)}
        49:{2,3,5,7}:{(30,1),(31,1),(35,1),(72,1),(74,1),(75,1)}
        50:{1,3,4,7}:{(31,1),(36,1),(75,1),(76,1),(152,1),(251,1)}
        51:{1,3,4,6}:{(32,1),(34,1),(78,1),(79,1),(425,1),(436,1)}
        52:{2,4,5}:{(32,1),(35,1),(79,1),(80,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(73,1),(78,1),(81,1),(330,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(74,1),(79,1),(81,1),(82,1),(142,1),(236,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(80,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(76,1),(83,1),(84,1),(147,1),(157,1)}
        57:{1,2,4,5}:{(37,1),(86,1),(159,1),(300,1),(400,1)}
        58:{1,3,4,6}:{(37,1),(41,1),(86,1),(87,1),(92,1),(451,1),(452,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(89,1),(92,1),(107,1),(189,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(89,1),(399,1),(400,1)}
        61:{1,2,5,6,7}:{(39,1),(88,1),(91,1),(193,1),(266,1),(295,1),(373,1),(389,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(89,1),(92,1),(167,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(86,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(87,1),(93,1),(94,1),(259,1),(458,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(96,1),(106,1),(169,1),(177,1),(188,1),(266,1),(389,1),(390,1),(474,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(89,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(177,1),(475,1),(476,1)}
        68:{2,3,4,5}:{(52,1),(99,1),(100,1),(186,1),(396,1),(476,1)}
        69:{1,4,5,6}:{(45,1),(95,1),(101,1),(102,1),(267,1)}
        70:{1,4,6,7}:{(44,1),(45,1),(96,1),(101,1),(467,1)}
        71:{1,3,4,6}:{(45,1),(46,1),(48,1),(97,1),(102,1),(104,1)}
        72:{2,4,5,7}:{(46,1),(49,1),(52,1),(104,1),(105,1),(112,1),(188,1)}
        73:{1,3,6,7}:{(47,1),(48,1),(53,1),(106,1),(474,1)}
        74:{2,3,6}:{(48,1),(49,1),(104,1),(107,1)}
        75:{1,3,5,7}:{(49,1),(50,1),(55,1),(105,1),(107,1),(108,1)}
        76:{1,2,4,7}:{(50,1),(56,1),(108,1),(109,1)}
        77:{1,3,4,5,6}:{(51,1),(102,1),(110,1),(111,1),(175,1),(183,1),(282,1),(303,1),(388,1),(484,1)}
        78:{1,3,4,7}:{(51,1),(53,1),(112,1),(467,1),(475,1)}
        79:{2,4,6}:{(51,1),(52,1),(54,1),(112,1),(113,1)}
        80:{1,4,5}:{(52,1),(55,1),(113,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(106,1),(112,1),(115,1),(188,1),(290,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(107,1),(113,1),(115,1),(116,1),(189,1),(200,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(109,1),(117,1),(200,1)}
        85:{1,2,4,5,6}:{(57,1),(62,1),(119,1),(120,1),(123,1),(207,1),(215,1),(242,1),(313,1),(336,1),(349,1),(406,1),(412,1)}
        86:{1,3,5}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,6}:{(58,1),(64,1),(121,1),(122,1),(128,1),(207,1),(414,1),(415,1)}
        88:{1,3,5,6,7}:{(59,1),(61,1),(65,1),(124,1),(127,1),(146,1),(214,1),(241,1),(348,1)}
        89:{1,4,6}:{(59,1),(60,1),(66,1)}
        90:{1,3,4,5,7}:{(60,1),(63,1),(67,1),(118,1),(125,1),(126,1),(206,1),(214,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(124,1),(127,1),(216,1),(416,1),(434,1),(491,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(126,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(122,1),(129,1),(130,1),(314,1),(419,1)}
        95:{2,4,5,6}:{(66,1),(69,1),(123,1),(131,1),(132,1),(142,1),(215,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(70,1),(124,1),(131,1),(133,1),(438,1)}
        97:{3,4,6}:{(66,1),(67,1),(132,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(72,1),(126,1),(134,1),(135,1),(137,1),(204,1),(229,1),(233,1),(308,1),(438,1),(439,1),(442,1),(507,1),(537,1)}
        99:{2,3,4,6}:{(68,1),(79,1),(136,1),(137,1),(138,1),(238,1),(344,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(80,1),(138,1),(139,1),(154,1),(223,1),(431,1)}
       101:{1,4,5,7}:{(69,1),(70,1),(131,1),(141,1),(321,1)}
       102:{1,3,5,6}:{(69,1),(71,1),(132,1),(141,1),(142,1)}
       103:{1,3,4,6,7}:{(70,1),(71,1),(73,1),(78,1),(133,1),(141,1),(143,1)}
       104:{2,4,6}:{(71,1),(72,1),(74,1),(142,1),(144,1)}
       105:{1,4,5,7}:{(72,1),(75,1),(80,1),(144,1),(152,1),(241,1)}
       106:{2,3,6,7}:{(73,1),(74,1),(81,1),(143,1),(146,1),(342,1)}
       107:{1,3,6}:{(74,1),(75,1),(144,1),(147,1)}
       108:{1,2,5,7}:{(75,1),(76,1),(83,1),(147,1)}
       109:{1,2,3,7}:{(76,1),(84,1),(251,1)}
       110:{1,3,4,5,7}:{(77,1),(78,1),(141,1),(149,1),(150,1),(226,1),(235,1),(335,1),(354,1),(435,1),(447,1)}
       111:{2,4,5,6}:{(77,1),(79,1),(136,1),(142,1),(150,1),(151,1),(236,1),(344,1),(510,1)}
       112:{2,4,7}:{(78,1),(79,1),(81,1),(152,1)}
       113:{1,4,6}:{(79,1),(80,1),(82,1),(152,1)}
       114:{1,2,4,5}:{(80,1),(83,1),(139,1),(153,1),(154,1),(157,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(146,1),(152,1),(155,1),(241,1),(251,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(147,1),(153,1),(155,1),(236,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(154,1),(157,1)}
       118:{1,3,4,5}:{(86,1),(158,1),(159,1),(400,1),(476,1)}
       119:{1,2,4,5,7}:{(85,1),(91,1),(160,1),(164,1),(259,1),(266,1),(295,1),(366,1),(387,1),(399,1),(450,1),(456,1)}
       120:{1,3,5,6}:{(85,1),(86,1),(92,1),(158,1),(160,1),(161,1),(388,1),(451,1)}
       121:{2,3,5}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,3,4,6}:{(87,1),(94,1),(162,1),(163,1),(170,1),(260,1),(369,1),(370,1)}
       123:{1,4,5,6}:{(89,1),(95,1),(164,1),(165,1),(189,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(96,1),(164,1),(399,1)}
       125:{1,3,4,6}:{(89,1),(90,1),(92,1),(97,1),(165,1),(167,1)}
       126:{2,4,5,7}:{(90,1),(93,1),(159,1),(167,1),(168,1),(259,1),(266,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(160,1),(169,1),(474,1)}
       128:{2,3,6}:{(92,1),(93,1),(167,1),(170,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(170,1),(171,1)}
       130:{1,2,4,7}:{(94,1),(163,1),(171,1),(172,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(101,1),(164,1),(177,1),(188,1),(266,1)}
       132:{3,5,6}:{(95,1),(97,1),(177,1)}
       133:{3,4,6,7}:{(96,1),(97,1),(177,1),(474,1),(475,1)}
       134:{2,3,4,6}:{(97,1),(98,1),(104,1),(167,1),(178,1),(180,1),(287,1),(391,1),(481,1),(529,1),(547,1)}
       135:{1,3,4,5,7}:{(98,1),(100,1),(105,1),(168,1),(180,1),(181,1),(184,1),(192,1),(256,1),(270,1),(284,1),(362,1),(399,1),(400,1),(467,1),(468,1),(472,1),(475,1),(476,1),(544,1)}
       136:{2,3,5,6}:{(99,1),(111,1),(182,1),(183,1),(388,1)}
       137:{2,3,4,7}:{(99,1),(112,1),(182,1),(184,1),(292,1),(395,1),(475,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(113,1),(183,1),(184,1),(185,1),(200,1),(276,1),(382,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(101,1),(176,1),(187,1),(373,1),(386,1),(482,1)}
       141:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(188,1)}
       142:{2,5,6}:{(102,1),(104,1),(188,1),(189,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(106,1),(112,1),(188,1),(190,1)}
       144:{1,4,6}:{(104,1),(105,1),(107,1),(189,1)}
       145:{1,2,4,5,7}:{(105,1),(108,1),(114,1),(181,1),(191,1),(192,1),(195,1),(199,1),(295,1),(300,1),(358,1),(399,1),(400,1),(450,1),(517,1),(544,1)}
       146:{1,3,6,7}:{(106,1),(107,1),(115,1),(190,1),(193,1)}
       147:{1,2,6}:{(107,1),(108,1)}
       148:{1,2,3,5,7}:{(108,1),(109,1),(117,1),(192,1),(194,1),(195,1),(300,1),(359,1),(453,1),(517,1)}
       149:{1,3,4,6,7}:{(110,1),(187,1),(196,1),(280,1),(289,1),(386,1),(474,1)}
       150:{2,4,5,7}:{(110,1),(111,1),(112,1),(182,1),(188,1),(196,1),(197,1),(290,1),(395,1),(480,1)}
       151:{1,4,5,6}:{(111,1),(113,1),(183,1),(189,1),(197,1),(382,1),(527,1)}
       152:{1,4,7}:{(112,1),(113,1),(115,1)}
       153:{1,2,4,6}:{(113,1),(114,1),(116,1),(185,1),(199,1),(200,1)}
       154:{1,3,5}:{(114,1),(186,1),(200,1),(201,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(193,1),(199,1),(290,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(194,1),(200,1),(202,1),(203,1),(291,1),(296,1),(300,1),(305,1),(402,1),(405,1)}
       157:{1,2,4}:{(117,1),(201,1)}
       158:{1,3,4,6}:{(118,1),(120,1),(206,1),(207,1),(349,1),(436,1)}
       159:{2,4,5}:{(118,1),(121,1),(207,1),(208,1)}
       160:{1,3,5,7}:{(119,1),(120,1),(127,1),(206,1),(209,1),(435,1),(487,1)}
       161:{2,3,5,6}:{(120,1),(121,1),(128,1),(207,1),(209,1),(210,1),(215,1),(412,1),(414,1)}
       162:{1,3,5}:{(121,1),(122,1),(208,1),(211,1)}
       163:{1,2,4,6}:{(122,1),(130,1),(211,1),(212,1),(220,1),(319,1)}
       164:{1,4,5,7}:{(123,1),(124,1),(131,1),(214,1),(241,1)}
       165:{1,3,5,6}:{(123,1),(125,1),(132,1),(214,1),(215,1)}
       166:{1,3,4,6,7}:{(124,1),(125,1),(127,1),(133,1),(206,1),(214,1),(216,1)}
       167:{2,4,6}:{(125,1),(126,1),(128,1),(215,1),(217,1)}
       168:{1,4,5,7}:{(126,1),(129,1),(208,1),(217,1),(314,1),(321,1)}
       169:{2,3,6,7}:{(127,1),(128,1),(209,1),(216,1),(219,1),(491,1)}
       170:{1,3,6}:{(128,1),(129,1),(217,1),(220,1)}
       171:{1,2,5,7}:{(129,1),(130,1),(211,1),(220,1)}
       172:{1,2,3,7}:{(130,1),(212,1),(419,1)}
       173:{1,2,4,5}:{(139,1),(222,1),(223,1),(225,1),(333,1),(431,1)}
       174:{1,2,3,5}:{(223,1),(224,1),(225,1),(333,1)}
       175:{3,4,5,6}:{(132,1),(226,1),(227,1),(436,1),(542,1)}
       176:{2,4,5,6,7}:{(131,1),(140,1),(213,1),(228,1),(240,1),(320,1),(334,1),(434,1),(508,1)}
       177:{3,5,7}:{(131,1),(132,1),(133,1)}
       178:{2,3,5,6}:{(132,1),(134,1),(142,1),(215,1),(227,1),(229,1),(230,1),(510,1),(542,1),(551,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(143,1),(216,1),(229,1),(231,1),(234,1),(308,1),(334,1),(340,1),(410,1),(438,1),(441,1),(506,1),(536,1)}
       180:{1,3,4,6}:{(134,1),(135,1),(144,1),(217,1),(230,1),(232,1),(244,1),(324,1),(349,1),(425,1),(436,1),(505,1),(550,1)}
       181:{2,4,5,7}:{(135,1),(139,1),(232,1),(233,1),(237,1),(310,1),(338,1),(413,1),(438,1),(439,1)}
       182:{2,3,5,7}:{(136,1),(137,1),(150,1),(234,1),(235,1),(435,1)}
       183:{1,3,5,6}:{(136,1),(138,1),(151,1),(235,1),(236,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(152,1),(235,1),(237,1),(251,1),(330,1),(430,1)}
       185:{2,4,6}:{(138,1),(139,1),(236,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(154,1),(223,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(149,1),(228,1),(240,1),(447,1)}
       188:{2,5,7}:{(141,1),(142,1),(143,1),(241,1)}
       189:{1,5,6}:{(142,1),(144,1),(241,1)}
       190:{1,4,6,7}:{(143,1),(144,1),(146,1),(152,1),(241,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(147,1),(232,1),(242,1),(244,1),(349,1),(535,1),(550,1)}
       192:{1,3,5,7}:{(145,1),(154,1),(233,1),(244,1),(245,1),(251,1),(351,1),(407,1),(487,1)}
       193:{1,2,6,7}:{(146,1),(147,1),(155,1),(342,1)}
       194:{1,2,3,6}:{(147,1),(148,1),(244,1),(247,1),(535,1)}
       195:{1,2,4,7}:{(148,1),(157,1),(245,1),(247,1),(409,1)}
       196:{2,4,6,7}:{(149,1),(150,1),(234,1),(240,1),(248,1),(342,1)}
       197:{1,4,5,7}:{(150,1),(151,1),(152,1),(235,1),(241,1),(248,1),(430,1),(504,1)}
       198:{1,2,4,5,6}:{(151,1),(153,1),(236,1),(242,1),(249,1),(250,1),(254,1),(336,1),(344,1),(349,1),(357,1),(510,1),(511,1)}
       199:{1,2,4,7}:{(152,1),(153,1),(155,1),(237,1),(251,1)}
       200:{1,3,6}:{(153,1),(154,1),(238,1),(251,1)}
       201:{1,3,4}:{(154,1),(157,1),(239,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(246,1),(251,1),(253,1),(343,1),(348,1),(352,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(252,1),(253,1),(254,1),(344,1),(349,1)}
       204:{2,3,4,5}:{(159,1),(255,1),(256,1),(364,1),(476,1),(520,1)}
       205:{1,3,4,5,6}:{(158,1),(165,1),(175,1),(257,1),(258,1),(282,1),(361,1),(388,1),(462,1),(548,1)}
       206:{1,3,4,7}:{(158,1),(160,1),(259,1),(399,1),(475,1)}
       207:{2,4,6}:{(158,1),(159,1),(161,1),(259,1),(260,1)}
       208:{1,4,5}:{(159,1),(162,1),(260,1)}
       209:{2,3,5,7}:{(160,1),(161,1),(169,1),(259,1),(262,1),(266,1),(456,1),(458,1)}
       210:{1,3,5,6}:{(161,1),(162,1),(170,1),(260,1),(262,1),(263,1),(267,1),(369,1)}
       211:{1,2,5}:{(162,1),(163,1)}
       212:{1,2,3,6}:{(163,1),(172,1),(264,1),(369,1)}
       213:{1,4,5,6,7}:{(164,1),(176,1),(265,1),(294,1),(386,1),(525,1)}
       214:{1,3,5,7}:{(164,1),(165,1),(166,1),(177,1),(266,1)}
       215:{2,5,6}:{(165,1),(167,1),(266,1),(267,1)}
       216:{2,4,6,7}:{(166,1),(167,1),(169,1),(259,1),(266,1),(268,1)}
       217:{1,4,6}:{(167,1),(168,1),(170,1),(267,1)}
       218:{1,2,4,5,7}:{(168,1),(171,1),(173,1),(181,1),(261,1),(269,1),(270,1),(273,1),(275,1),(368,1),(374,1),(379,1),(385,1),(467,1),(468,1),(472,1)}
       219:{1,3,6,7}:{(169,1),(170,1),(262,1),(268,1),(271,1)}
       220:{1,2,6}:{(170,1),(171,1)}
       221:{1,2,3,5,7}:{(171,1),(172,1),(174,1),(264,1),(270,1),(272,1),(273,1),(278,1),(379,1),(385,1)}
       222:{1,2,4,6}:{(173,1),(185,1),(274,1),(275,1),(276,1),(382,1)}
       223:{1,3,5}:{(173,1),(186,1),(276,1),(277,1)}
       224:{1,2,3,6}:{(174,1),(276,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(277,1)}
       226:{3,4,5,7}:{(175,1),(177,1),(280,1),(281,1),(475,1),(528,1)}
       227:{2,4,5,6}:{(175,1),(178,1),(281,1),(282,1),(391,1)}
       228:{3,5,6,7}:{(176,1),(177,1),(280,1),(474,1),(528,1)}
       229:{2,3,5,7}:{(177,1),(178,1),(179,1),(188,1),(266,1),(281,1),(284,1),(480,1),(528,1),(546,1)}
       230:{1,3,5,6}:{(178,1),(180,1),(189,1),(267,1),(282,1),(284,1),(285,1),(388,1),(527,1),(552,1)}
       231:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(190,1),(268,1),(284,1),(286,1),(289,1),(297,1),(362,1),(376,1),(386,1),(399,1),(455,1),(467,1),(471,1),(474,1),(475,1),(543,1)}
       232:{2,4,6}:{(180,1),(181,1),(285,1),(287,1)}
       233:{2,3,5,7}:{(181,1),(186,1),(192,1),(270,1),(287,1),(288,1),(292,1),(364,1),(393,1),(458,1)}
       234:{2,3,6,7}:{(182,1),(196,1),(289,1),(474,1)}
       235:{1,3,5,7}:{(182,1),(183,1),(184,1),(197,1),(289,1),(290,1)}
       236:{2,5,6}:{(183,1),(185,1),(290,1)}
       237:{2,4,7}:{(184,1),(185,1),(290,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(200,1),(276,1),(292,1)}
       239:{2,3,4}:{(186,1),(201,1),(277,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(196,1),(294,1),(480,1)}
       241:{1,5,7}:{(188,1),(189,1),(190,1)}
       242:{1,2,5,6}:{(189,1),(191,1),(285,1),(295,1),(296,1),(300,1),(552,1)}
       243:{1,2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(286,1),(295,1),(297,1),(399,1),(450,1),(512,1),(543,1)}
       244:{1,3,6}:{(191,1),(192,1),(287,1)}
       245:{1,3,4,7}:{(192,1),(195,1),(201,1),(288,1),(298,1),(399,1),(452,1)}
       246:{1,2,3,6,7}:{(193,1),(194,1),(202,1),(297,1),(299,1),(394,1),(405,1),(453,1)}
       247:{1,2,4,6}:{(194,1),(195,1),(298,1),(300,1)}
       248:{1,4,6,7}:{(196,1),(197,1),(289,1),(294,1)}
       249:{1,2,4,5,7}:{(197,1),(198,1),(199,1),(290,1),(295,1),(301,1),(302,1),(387,1),(395,1),(399,1),(480,1),(482,1)}
       250:{1,3,5,6}:{(198,1),(200,1),(291,1),(302,1),(303,1),(305,1),(388,1),(405,1)}
       251:{1,3,7}:{(199,1),(200,1),(292,1)}
       252:{1,3,4,6}:{(200,1),(201,1),(203,1),(293,1),(304,1),(305,1),(405,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(304,1),(395,1),(399,1)}
       254:{1,2,4,5}:{(203,1),(300,1),(305,1),(396,1),(400,1)}
       255:{2,3,4,6}:{(204,1),(207,1),(307,1),(308,1),(309,1),(414,1),(436,1),(493,1)}
       256:{1,3,4,5}:{(204,1),(208,1),(309,1),(310,1),(316,1),(407,1),(533,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(226,1),(311,1),(312,1),(335,1),(411,1),(435,1),(497,1),(539,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(307,1),(312,1),(313,1),(412,1),(493,1),(551,1)}
       259:{2,4,7}:{(206,1),(207,1),(209,1),(314,1)}
       260:{1,4,6}:{(207,1),(208,1),(210,1),(314,1)}
       261:{1,2,4,5}:{(208,1),(211,1),(310,1),(315,1),(316,1),(319,1)}
       262:{1,3,5,7}:{(209,1),(210,1),(219,1),(314,1),(317,1),(321,1),(419,1)}
       263:{1,2,5,6}:{(210,1),(211,1),(220,1),(315,1),(317,1),(412,1)}
       264:{1,2,3,5}:{(211,1),(212,1),(316,1),(319,1)}
       265:{1,3,5,6,7}:{(213,1),(214,1),(228,1),(311,1),(320,1),(539,1)}
       266:{2,5,7}:{(214,1),(215,1),(216,1),(321,1)}
       267:{1,5,6}:{(215,1),(217,1),(321,1)}
       268:{1,4,6,7}:{(216,1),(217,1),(219,1),(314,1),(321,1)}
       269:{1,2,4,6}:{(217,1),(218,1),(220,1),(232,1),(322,1),(324,1),(425,1),(433,1),(505,1)}
       270:{1,3,5,7}:{(218,1),(223,1),(233,1),(316,1),(324,1),(325,1),(330,1),(419,1),(427,1)}
       271:{1,2,6,7}:{(219,1),(220,1),(317,1),(491,1)}
       272:{1,2,3,6}:{(220,1),(221,1),(324,1),(327,1),(433,1)}
       273:{1,2,4,7}:{(221,1),(225,1),(319,1),(325,1),(327,1)}
       274:{1,2,5,6}:{(222,1),(236,1),(328,1),(329,1),(333,1),(433,1)}
       275:{1,2,4,7}:{(222,1),(237,1),(328,1),(330,1),(430,1)}
       276:{1,3,6}:{(222,1),(223,1),(238,1),(330,1)}
       277:{1,3,4}:{(223,1),(225,1),(239,1)}
       278:{1,2,3,7}:{(224,1),(330,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(331,1),(332,1),(333,1),(433,1)}
       280:{3,4,6,7}:{(226,1),(228,1),(334,1)}
       281:{2,4,5,7}:{(226,1),(227,1),(229,1),(334,1),(335,1),(438,1)}
       282:{1,4,5,6}:{(227,1),(230,1),(335,1),(336,1),(349,1),(425,1)}
       283:{2,3,5,6,7}:{(228,1),(229,1),(234,1),(240,1),(320,1),(334,1),(337,1),(410,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(231,1),(241,1),(321,1),(335,1),(338,1),(435,1),(504,1),(549,1)}
       285:{2,5,6}:{(230,1),(232,1),(338,1)}
       286:{2,4,6,7}:{(231,1),(232,1),(237,1),(338,1),(340,1),(342,1),(413,1),(438,1),(491,1)}
       287:{2,3,6}:{(232,1),(233,1),(244,1),(324,1)}
       288:{2,3,4,7}:{(233,1),(239,1),(245,1),(325,1),(341,1),(415,1),(438,1)}
       289:{1,3,6,7}:{(234,1),(235,1),(248,1),(342,1)}
       290:{2,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5,6}:{(236,1),(238,1),(250,1),(329,1),(343,1),(344,1),(346,1),(443,1),(510,1)}
       292:{2,3,7}:{(237,1),(238,1),(251,1),(330,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(252,1),(331,1),(344,1),(345,1),(346,1),(443,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(248,1),(504,1)}
       295:{1,2,5,7}:{(241,1),(242,1),(243,1),(338,1),(348,1),(549,1)}
       296:{1,3,5,6}:{(242,1),(244,1),(339,1),(348,1),(349,1),(351,1)}
       297:{1,3,6,7}:{(243,1),(244,1),(251,1),(340,1),(348,1),(487,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(247,1),(341,1),(349,1),(351,1)}
       299:{1,2,4,6,7}:{(246,1),(247,1),(253,1),(350,1),(352,1),(357,1),(441,1),(489,1),(535,1)}
       300:{1,2,5}:{(247,1),(351,1)}
       301:{1,2,4,6,7}:{(248,1),(249,1),(342,1),(347,1),(353,1),(357,1),(434,1),(441,1),(444,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(251,1),(343,1),(353,1),(354,1),(435,1)}
       303:{1,3,4,6}:{(250,1),(344,1),(349,1),(354,1),(355,1),(436,1)}
       304:{1,3,4,7}:{(251,1),(252,1),(253,1),(345,1),(356,1)}
       305:{1,3,5}:{(252,1),(254,1),(346,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(352,1),(356,1),(357,1),(442,1),(445,1)}
       307:{2,3,5,6}:{(255,1),(258,1),(360,1),(361,1),(388,1)}
       308:{2,3,4,7}:{(255,1),(259,1),(360,1),(362,1),(458,1),(475,1),(519,1)}
       309:{1,3,4,6}:{(255,1),(256,1),(260,1),(361,1),(362,1),(363,1),(369,1),(451,1),(514,1)}
       310:{2,4,5}:{(256,1),(363,1),(364,1)}
       311:{1,3,4,6,7}:{(257,1),(265,1),(280,1),(365,1),(386,1),(455,1),(474,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(360,1),(365,1),(366,1),(456,1),(519,1),(546,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(267,1),(361,1),(366,1),(514,1),(552,1)}
       314:{1,4,7}:{(259,1),(260,1),(262,1)}
       315:{1,2,4,6}:{(260,1),(261,1),(263,1),(363,1),(368,1),(369,1)}
       316:{1,3,5}:{(261,1),(364,1),(369,1),(370,1)}
       317:{1,2,5,7}:{(262,1),(263,1),(271,1),(368,1),(456,1)}
       318:{1,2,3,5,6}:{(263,1),(264,1),(272,1),(369,1),(371,1),(372,1),(375,1),(379,1),(457,1),(464,1),(470,1),(524,1)}
       319:{1,2,4}:{(264,1),(370,1)}
       320:{2,5,6,7}:{(265,1),(266,1),(365,1),(373,1),(546,1)}
       321:{1,5,7}:{(266,1),(267,1),(268,1)}
       322:{1,2,5,6}:{(267,1),(269,1),(285,1),(374,1),(375,1),(379,1),(527,1)}
       323:{1,2,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(286,1),(368,1),(374,1),(376,1),(380,1),(467,1),(471,1)}
       324:{1,3,6}:{(269,1),(270,1),(287,1)}
       325:{1,3,4,7}:{(270,1),(273,1),(277,1),(288,1),(370,1),(377,1),(467,1)}
       326:{1,2,3,6,7}:{(271,1),(272,1),(278,1),(371,1),(376,1),(378,1),(518,1),(524,1)}
       327:{1,2,4,6}:{(272,1),(273,1),(377,1),(379,1)}
       328:{1,2,5,7}:{(274,1),(275,1),(290,1),(380,1),(381,1)}
       329:{1,3,5,6}:{(274,1),(276,1),(291,1),(381,1),(382,1),(384,1),(473,1),(527,1)}
       330:{1,3,7}:{(275,1),(276,1),(292,1)}
       331:{1,3,4,6}:{(276,1),(277,1),(279,1),(293,1),(382,1),(383,1),(384,1),(473,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(383,1),(385,1)}
       333:{1,2,5}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(283,1),(386,1)}
       335:{1,4,5,7}:{(281,1),(282,1),(284,1),(386,1),(387,1),(399,1),(467,1)}
       336:{2,4,5,6}:{(282,1),(285,1),(387,1),(388,1),(391,1)}
       337:{1,3,5,6,7}:{(283,1),(284,1),(289,1),(294,1),(373,1),(386,1),(389,1),(455,1),(474,1)}
       338:{2,5,7}:{(284,1),(285,1),(286,1)}
       339:{2,3,5,6}:{(285,1),(287,1),(296,1),(375,1),(388,1),(390,1),(391,1),(393,1)}
       340:{2,3,6,7}:{(286,1),(287,1),(292,1),(297,1),(376,1),(390,1),(458,1),(474,1)}
       341:{2,3,4,6}:{(287,1),(288,1),(298,1),(377,1),(391,1),(393,1)}
       342:{2,6,7}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(302,1),(381,1),(394,1),(395,1),(480,1)}
       344:{2,4,6}:{(291,1),(303,1),(382,1),(395,1),(396,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(304,1),(383,1),(395,1),(397,1)}
       346:{2,3,5}:{(293,1),(305,1),(384,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(301,1),(389,1),(398,1),(402,1),(480,1),(512,1)}
       348:{1,3,5,7}:{(295,1),(296,1),(297,1),(390,1),(399,1)}
       349:{1,4,6}:{(296,1),(391,1),(399,1),(400,1)}
       350:{1,3,4,6,7}:{(297,1),(298,1),(299,1),(304,1),(392,1),(399,1),(401,1),(405,1),(483,1),(515,1),(543,1),(545,1)}
       351:{1,3,5}:{(298,1),(300,1),(393,1),(400,1)}
       352:{1,2,5,7}:{(299,1),(300,1),(401,1),(402,1),(480,1)}
       353:{1,3,6,7}:{(301,1),(302,1),(394,1),(405,1),(474,1)}
       354:{1,3,4,7}:{(302,1),(303,1),(395,1),(399,1),(475,1)}
       355:{1,3,4,5}:{(303,1),(305,1),(396,1),(400,1),(476,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(306,1),(397,1),(405,1)}
       357:{1,2,4,6}:{(306,1),(402,1),(405,1),(481,1),(483,1)}
       358:{1,2,4,5}:{(310,1),(406,1),(407,1),(409,1),(490,1),(533,1)}
       359:{1,2,3,5}:{(407,1),(408,1),(409,1),(490,1)}
       360:{2,3,5,7}:{(307,1),(308,1),(312,1),(410,1),(411,1),(435,1)}
       361:{1,3,5,6}:{(307,1),(309,1),(313,1),(411,1),(412,1)}
       362:{1,3,4,7}:{(308,1),(309,1),(314,1),(411,1),(413,1),(419,1),(487,1),(532,1)}
       363:{2,4,6}:{(309,1),(310,1),(412,1),(413,1),(414,1)}
       364:{2,3,5}:{(310,1),(316,1),(407,1),(414,1),(415,1)}
       365:{2,4,6,7}:{(311,1),(312,1),(320,1),(410,1),(416,1),(491,1)}
       366:{1,4,5,7}:{(312,1),(313,1),(314,1),(321,1),(411,1),(416,1),(532,1),(549,1)}
       367:{1,2,4,5,6}:{(313,1),(315,1),(322,1),(336,1),(412,1),(417,1),(418,1),(422,1),(425,1),(493,1),(500,1),(541,1),(551,1)}
       368:{1,2,4,7}:{(314,1),(315,1),(317,1),(413,1),(419,1)}
       369:{1,3,6}:{(315,1),(316,1),(414,1),(419,1)}
       370:{1,3,4}:{(316,1),(319,1),(415,1)}
       371:{1,2,3,5,7}:{(317,1),(318,1),(326,1),(419,1),(421,1),(424,1),(428,1),(492,1),(499,1)}
       372:{1,2,4,6}:{(318,1),(319,1),(420,1),(421,1),(422,1),(425,1),(493,1)}
       373:{1,5,6,7}:{(320,1),(321,1),(416,1),(549,1)}
       374:{1,2,5,7}:{(321,1),(322,1),(323,1),(338,1),(424,1),(504,1)}
       375:{1,3,5,6}:{(322,1),(324,1),(339,1),(424,1),(425,1),(427,1)}
       376:{1,3,6,7}:{(323,1),(324,1),(330,1),(340,1),(419,1),(424,1)}
       377:{1,3,4,6}:{(324,1),(325,1),(327,1),(341,1),(425,1),(427,1)}
       378:{1,2,4,6,7}:{(326,1),(327,1),(332,1),(421,1),(426,1),(428,1),(433,1),(500,1),(536,1)}
       379:{1,2,5}:{(327,1),(427,1)}
       380:{1,2,6,7}:{(328,1),(342,1),(429,1),(433,1)}
       381:{1,3,5,7}:{(328,1),(329,1),(330,1),(343,1),(429,1),(430,1),(504,1)}
       382:{1,4,6}:{(329,1),(344,1),(430,1),(431,1)}
       383:{1,3,4,7}:{(330,1),(331,1),(332,1),(345,1),(430,1),(432,1)}
       384:{1,3,5}:{(331,1),(333,1),(346,1),(431,1)}
       385:{1,2,5,7}:{(332,1),(333,1),(432,1),(433,1)}
       386:{1,4,6,7}:{(334,1),(335,1),(337,1),(434,1)}
       387:{2,4,5,7}:{(335,1),(336,1),(338,1),(434,1),(435,1),(438,1)}
       388:{3,5,6}:{(336,1),(435,1),(436,1)}
       389:{2,5,6,7}:{(337,1),(338,1),(342,1),(434,1),(491,1)}
       390:{2,3,5,7}:{(338,1),(339,1),(340,1),(348,1),(424,1),(435,1),(438,1)}
       391:{2,4,6}:{(339,1),(349,1),(425,1),(436,1),(438,1),(439,1)}
       392:{2,3,4,6,7}:{(340,1),(341,1),(345,1),(350,1),(426,1),(438,1),(440,1),(441,1),(443,1),(494,1),(506,1),(509,1),(536,1),(538,1)}
       393:{2,3,5}:{(341,1),(351,1),(427,1),(439,1)}
       394:{2,3,6,7}:{(342,1),(343,1),(353,1),(429,1),(441,1),(443,1)}
       395:{2,4,7}:{(343,1),(344,1),(354,1),(430,1)}
       396:{2,4,5}:{(344,1),(346,1),(355,1),(431,1)}
       397:{2,3,5,7}:{(345,1),(346,1),(356,1),(432,1),(442,1),(443,1)}
       398:{1,3,5,6,7}:{(347,1),(348,1),(353,1),(437,1),(444,1),(446,1),(447,1),(531,1),(549,1)}
       399:{1,4,7}:{(348,1),(349,1),(438,1)}
       400:{1,4,5}:{(349,1),(351,1),(439,1)}
       401:{1,3,5,7}:{(350,1),(351,1),(352,1),(440,1),(445,1),(446,1),(549,1)}
       402:{1,2,5,6}:{(352,1),(357,1),(446,1),(510,1),(535,1)}
       403:{1,3,4,6,7}:{(353,1),(354,1),(441,1),(444,1),(447,1),(448,1),(506,1)}
       404:{1,3,4,5,7}:{(354,1),(355,1),(356,1),(442,1),(445,1),(447,1),(448,1),(507,1)}
       405:{1,3,6}:{(356,1),(357,1),(443,1)}
       406:{1,2,4,6}:{(358,1),(363,1),(449,1),(450,1),(451,1),(514,1)}
       407:{1,3,5}:{(358,1),(364,1),(451,1),(452,1)}
       408:{1,2,3,6}:{(359,1),(451,1),(453,1),(454,1)}
       409:{1,2,4}:{(359,1),(452,1)}
       410:{2,3,6,7}:{(360,1),(365,1),(455,1),(474,1)}
       411:{1,3,5,7}:{(360,1),(361,1),(362,1),(366,1),(455,1),(456,1)}
       412:{2,5,6}:{(361,1),(363,1),(456,1)}
       413:{2,4,7}:{(362,1),(363,1),(456,1),(458,1)}
       414:{2,3,6}:{(363,1),(364,1),(369,1),(451,1),(458,1)}
       415:{2,3,4}:{(364,1),(370,1),(452,1)}
       416:{1,4,6,7}:{(365,1),(366,1),(373,1),(455,1)}
       417:{1,2,4,5,7}:{(366,1),(367,1),(368,1),(374,1),(387,1),(456,1),(460,1),(461,1),(467,1),(519,1),(525,1),(546,1)}
       418:{1,3,5,6}:{(367,1),(369,1),(388,1),(457,1),(461,1),(462,1),(464,1),(524,1)}
       419:{1,3,7}:{(368,1),(369,1),(458,1)}
       420:{1,3,4,6}:{(369,1),(370,1),(372,1),(459,1),(463,1),(464,1),(524,1)}
       421:{1,2,4,7}:{(371,1),(372,1),(463,1),(467,1),(519,1)}
       422:{1,2,4,5}:{(372,1),(379,1),(464,1),(468,1),(520,1)}
       423:{1,2,5,6,7}:{(373,1),(374,1),(380,1),(389,1),(460,1),(466,1),(470,1),(546,1)}
       424:{1,3,5,7}:{(374,1),(375,1),(376,1),(390,1),(467,1)}
       425:{1,4,6}:{(375,1),(391,1),(467,1),(468,1)}
       426:{1,3,4,6,7}:{(376,1),(377,1),(378,1),(383,1),(392,1),(463,1),(467,1),(469,1),(471,1),(473,1),(524,1),(526,1)}
       427:{1,3,5}:{(377,1),(379,1),(393,1),(468,1)}
       428:{1,2,5,7}:{(378,1),(379,1),(469,1),(470,1),(546,1)}
       429:{1,3,6,7}:{(380,1),(381,1),(394,1),(471,1),(473,1)}
       430:{1,4,7}:{(381,1),(382,1),(395,1)}
       431:{1,4,5}:{(382,1),(384,1),(396,1)}
       432:{1,3,5,7}:{(383,1),(384,1),(385,1),(397,1),(472,1),(473,1)}
       433:{1,2,6}:{(385,1),(473,1)}
       434:{2,4,6,7}:{(386,1),(387,1),(389,1),(474,1)}
       435:{3,5,7}:{(387,1),(388,1),(474,1),(475,1)}
       436:{3,4,6}:{(388,1),(391,1),(475,1),(476,1)}
       437:{2,3,5,6,7}:{(389,1),(390,1),(394,1),(398,1),(466,1),(474,1),(477,1),(479,1),(480,1),(518,1),(528,1),(546,1)}
       438:{2,4,7}:{(390,1),(391,1),(399,1),(467,1),(475,1)}
       439:{2,4,5}:{(391,1),(393,1),(400,1),(468,1),(476,1)}
       440:{2,3,5,7}:{(392,1),(393,1),(401,1),(469,1),(478,1),(479,1),(480,1),(528,1),(546,1)}
       441:{2,4,6,7}:{(394,1),(395,1),(403,1),(471,1),(480,1),(481,1)}
       442:{2,4,5,7}:{(395,1),(396,1),(397,1),(404,1),(472,1),(480,1),(481,1)}
       443:{2,3,6}:{(397,1),(405,1),(473,1),(481,1)}
       444:{1,4,6,7}:{(398,1),(399,1),(477,1),(482,1),(483,1)}
       445:{1,4,5,7}:{(399,1),(400,1),(401,1),(478,1),(483,1)}
       446:{1,3,5,6}:{(401,1),(402,1),(405,1),(479,1),(483,1),(545,1),(552,1)}
       447:{1,3,5,7}:{(403,1),(480,1),(482,1),(484,1),(528,1)}
       448:{1,3,4,6}:{(404,1),(405,1),(481,1),(483,1),(484,1),(529,1)}
       449:{1,2,5,6}:{(406,1),(412,1),(485,1),(486,1),(490,1),(535,1)}
       450:{1,2,4,7}:{(406,1),(413,1),(485,1),(487,1),(532,1)}
       451:{1,3,6}:{(406,1),(407,1),(414,1),(487,1)}
       452:{1,3,4}:{(407,1),(409,1),(415,1)}
       453:{1,2,3,7}:{(408,1),(487,1),(489,1)}
       454:{1,2,4,6}:{(408,1),(409,1),(488,1),(489,1),(490,1),(535,1)}
       455:{1,3,6,7}:{(410,1),(411,1),(416,1),(491,1)}
       456:{2,5,7}:{(411,1),(412,1),(413,1),(491,1)}
       457:{2,3,5,6}:{(412,1),(414,1),(418,1),(486,1),(492,1),(493,1),(495,1),(538,1),(551,1)}
       458:{2,3,7}:{(413,1),(414,1),(419,1),(487,1)}
       459:{2,3,4,6}:{(414,1),(415,1),(420,1),(488,1),(493,1),(494,1),(495,1),(538,1)}
       460:{1,2,4,6,7}:{(416,1),(417,1),(423,1),(434,1),(491,1),(496,1),(500,1),(501,1),(536,1)}
       461:{1,3,5,7}:{(417,1),(418,1),(419,1),(435,1),(492,1),(496,1),(497,1)}
       462:{1,3,4,6}:{(418,1),(425,1),(436,1),(493,1),(497,1),(498,1)}
       463:{1,3,4,7}:{(419,1),(420,1),(421,1),(494,1),(499,1)}
       464:{1,3,5}:{(420,1),(422,1),(495,1)}
       465:{1,2,4,5,7}:{(421,1),(422,1),(428,1),(499,1),(500,1),(502,1),(537,1)}
       466:{1,3,5,6,7}:{(423,1),(424,1),(429,1),(437,1),(496,1),(501,1),(503,1),(504,1),(539,1)}
       467:{1,4,7}:{(424,1),(425,1),(438,1)}
       468:{1,4,5}:{(425,1),(427,1),(439,1)}
       469:{1,3,5,7}:{(426,1),(427,1),(428,1),(440,1),(502,1),(503,1),(504,1)}
       470:{1,2,5,6}:{(428,1),(433,1),(500,1),(503,1),(551,1)}
       471:{1,4,6,7}:{(429,1),(430,1),(441,1),(504,1),(505,1)}
       472:{1,4,5,7}:{(430,1),(431,1),(432,1),(442,1),(504,1),(505,1)}
       473:{1,3,6}:{(432,1),(433,1),(443,1),(505,1)}
       474:{3,6,7}:{(434,1),(435,1)}
       475:{3,4,7}:{(435,1),(436,1),(438,1)}
       476:{3,4,5}:{(436,1),(439,1)}
       477:{2,4,6,7}:{(437,1),(438,1),(444,1),(501,1),(506,1),(508,1),(509,1)}
       478:{2,4,5,7}:{(438,1),(439,1),(440,1),(445,1),(502,1),(507,1),(509,1)}
       479:{2,3,5,6}:{(440,1),(443,1),(446,1),(503,1),(509,1),(510,1),(538,1),(542,1),(551,1)}
       480:{2,5,7}:{(441,1),(447,1),(504,1),(510,1)}
       481:{2,4,6}:{(442,1),(443,1),(448,1),(505,1),(510,1)}
       482:{1,4,5,7}:{(444,1),(447,1),(508,1),(511,1),(549,1)}
       483:{1,4,6}:{(445,1),(446,1),(509,1)}
       484:{1,3,5,6}:{(447,1),(448,1),(510,1),(511,1),(542,1)}
       485:{1,2,5,7}:{(449,1),(450,1),(456,1),(512,1),(513,1)}
       486:{1,3,5,6}:{(449,1),(451,1),(457,1),(513,1),(514,1),(516,1),(545,1),(552,1)}
       487:{1,3,7}:{(450,1),(451,1),(458,1)}
       488:{1,3,4,6}:{(451,1),(452,1),(454,1),(459,1),(514,1),(515,1),(516,1),(545,1)}
       489:{1,2,4,7}:{(453,1),(454,1),(515,1),(517,1)}
       490:{1,2,5}:{(454,1),(516,1)}
       491:{2,6,7}:{(455,1),(456,1)}
       492:{2,3,5,7}:{(456,1),(457,1),(458,1),(461,1),(513,1),(518,1),(519,1),(546,1)}
       493:{2,4,6}:{(457,1),(462,1),(514,1),(519,1),(520,1)}
       494:{2,3,4,7}:{(458,1),(459,1),(463,1),(515,1),(519,1),(521,1)}
       495:{2,3,5}:{(459,1),(464,1),(516,1),(520,1)}
       496:{1,3,6,7}:{(460,1),(461,1),(474,1),(518,1),(524,1)}
       497:{1,3,4,7}:{(461,1),(462,1),(467,1),(475,1),(519,1)}
       498:{1,3,4,5}:{(462,1),(464,1),(468,1),(476,1),(520,1)}
       499:{1,3,5,7}:{(463,1),(464,1),(465,1),(521,1),(524,1)}
       500:{1,2,4,6}:{(465,1),(470,1),(524,1),(526,1),(547,1)}
       501:{1,4,6,7}:{(466,1),(467,1),(477,1),(525,1),(526,1)}
       502:{1,4,5,7}:{(467,1),(468,1),(469,1),(478,1),(526,1)}
       503:{1,3,5,6}:{(469,1),(470,1),(473,1),(479,1),(524,1),(526,1),(527,1)}
       504:{1,5,7}:{(471,1),(480,1),(527,1)}
       505:{1,4,6}:{(472,1),(473,1),(481,1),(527,1)}
       506:{3,4,6,7}:{(474,1),(475,1),(477,1),(528,1),(529,1)}
       507:{3,4,5,7}:{(475,1),(476,1),(478,1),(528,1),(529,1)}
       508:{2,4,5,7}:{(477,1),(480,1),(482,1),(525,1),(528,1),(530,1),(546,1)}
       509:{2,4,6}:{(478,1),(479,1),(483,1),(526,1),(529,1)}
       510:{2,5,6}:{(480,1),(481,1),(484,1),(527,1)}
       511:{1,4,5,6}:{(482,1),(483,1),(484,1),(530,1),(552,1)}
       512:{1,2,6,7}:{(485,1),(491,1),(531,1),(535,1)}
       513:{1,3,5,7}:{(485,1),(486,1),(487,1),(492,1),(531,1),(532,1),(549,1)}
       514:{1,4,6}:{(486,1),(493,1),(532,1),(533,1)}
       515:{1,3,4,7}:{(487,1),(488,1),(489,1),(494,1),(532,1),(534,1)}
       516:{1,3,5}:{(488,1),(490,1),(495,1),(533,1)}
       517:{1,2,5,7}:{(489,1),(490,1),(534,1),(535,1)}
       518:{2,3,6,7}:{(491,1),(492,1),(496,1),(531,1),(536,1),(538,1)}
       519:{2,4,7}:{(492,1),(493,1),(497,1),(532,1)}
       520:{2,4,5}:{(493,1),(495,1),(498,1),(533,1)}
       521:{2,3,5,7}:{(494,1),(495,1),(499,1),(534,1),(537,1),(538,1)}
       522:{1,3,4,6,7}:{(496,1),(497,1),(501,1),(506,1),(536,1),(539,1),(540,1)}
       523:{1,3,4,5,7}:{(497,1),(498,1),(499,1),(502,1),(507,1),(537,1),(539,1),(540,1)}
       524:{1,3,6}:{(499,1),(500,1),(538,1)}
       525:{1,4,5,7}:{(501,1),(504,1),(508,1),(539,1),(541,1)}
       526:{1,4,6}:{(502,1),(503,1),(509,1)}
       527:{1,5,6}:{(504,1),(505,1),(510,1)}
       528:{3,5,7}:{(506,1),(508,1),(542,1)}
       529:{3,4,6}:{(507,1),(509,1),(542,1)}
       530:{2,4,5,6}:{(508,1),(509,1),(510,1),(511,1),(541,1),(542,1),(551,1)}
       531:{1,3,6,7}:{(512,1),(513,1),(518,1),(543,1),(545,1)}
       532:{1,4,7}:{(513,1),(514,1),(519,1)}
       533:{1,4,5}:{(514,1),(516,1),(520,1)}
       534:{1,3,5,7}:{(515,1),(516,1),(517,1),(521,1),(544,1),(545,1)}
       535:{1,2,6}:{(517,1),(545,1)}
       536:{2,4,6,7}:{(518,1),(519,1),(522,1),(543,1),(546,1),(547,1)}
       537:{2,4,5,7}:{(519,1),(520,1),(521,1),(523,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(524,1),(545,1),(547,1)}
       539:{1,3,5,7}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6}:{(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,6}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,6}:{(528,1),(529,1),(530,1)}
       543:{1,4,6,7}:{(531,1),(532,1),(536,1),(549,1),(550,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(537,1),(549,1),(550,1)}
       545:{1,3,6}:{(534,1),(535,1),(538,1),(550,1)}
       546:{2,5,7}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,6}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,7}:{(543,1),(546,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,6}:{(549,1),(550,1),(551,1)}

2049 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2050 :   0:{1,2,5,6,7}:{(1,1),(2,1),(46,1),(86,1),(97,1),(141,1),(150,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(6,1),(8,1),(27,1),(60,1),(111,1),(121,1),(170,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(28,1),(126,1),(177,1),(181,1)}
         3:{1,2,4,5,6}:{(7,1),(9,1),(26,1),(33,1),(69,1),(77,1),(126,1),(133,1),(135,1),(167,1),(177,1),(181,1),(214,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(82,1),(100,1),(138,1),(150,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(46,1),(82,1),(92,1),(150,1),(152,1),(202,1)}
         6:{1,4,6,7}:{(1,1),(13,1),(14,1),(149,1),(195,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(46,1),(48,1),(99,1),(141,1),(151,1),(156,1),(159,1),(195,1)}
         8:{1,3,6,7}:{(2,1),(16,1),(17,1),(153,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1),(19,1),(104,1),(153,1),(164,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(22,1),(31,1),(56,1),(71,1),(121,1),(130,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(57,1),(166,1),(177,1),(212,1)}
        12:{1,2,4,5,6}:{(21,1),(23,1),(55,1),(62,1),(109,1),(117,1),(127,1),(166,1),(173,1),(175,1),(177,1),(183,1),(212,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,4,5,7}:{(6,1),(24,1),(26,1),(27,1),(111,1)}
        15:{1,3,4,6,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(29,1),(68,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(9,1),(29,1),(30,1),(179,1),(187,1)}
        17:{2,3,6,7}:{(8,1),(28,1),(30,1),(31,1),(125,1),(181,1)}
        18:{1,3,4,6}:{(9,1),(29,1),(32,1),(33,1),(214,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(34,1),(69,1),(76,1),(125,1),(133,1),(136,1),(181,1)}
        20:{1,4,6,7}:{(10,1),(13,1),(35,1),(149,1),(158,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(82,1),(84,1),(100,1),(140,1),(151,1),(158,1),(193,1),(196,1)}
        22:{1,3,6,7}:{(11,1),(37,1),(38,1),(190,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(37,1),(39,1),(40,1),(145,1),(190,1),(201,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(14,1),(35,1),(41,1),(42,1),(46,1),(82,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(204,1)}
        26:{1,4,5,6}:{(14,1),(41,1),(44,1),(138,1),(149,1),(208,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(42,1),(44,1),(46,1)}
        28:{2,4,6,7}:{(15,1),(17,1),(46,1),(47,1),(48,1),(96,1)}
        29:{1,3,4,7}:{(16,1),(18,1),(48,1),(195,1),(204,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(48,1),(49,1),(156,1),(160,1)}
        31:{1,3,6,7}:{(17,1),(47,1),(49,1),(50,1),(153,1)}
        32:{1,3,4,5}:{(18,1),(51,1),(104,1),(163,1),(230,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(48,1),(51,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(49,1),(53,1),(54,1),(97,1),(104,1),(107,1),(153,1)}
        35:{1,4,5,7}:{(20,1),(24,1),(55,1),(56,1),(71,1)}
        36:{1,3,4,6,7}:{(20,1),(22,1),(25,1),(56,1),(57,1),(58,1),(108,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(23,1),(58,1),(59,1),(179,1),(218,1)}
        38:{2,3,6,7}:{(22,1),(57,1),(59,1),(60,1),(165,1),(212,1)}
        39:{1,3,4,6}:{(23,1),(58,1),(61,1),(62,1),(183,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(62,1),(63,1),(109,1),(116,1),(165,1),(173,1),(176,1),(212,1)}
        41:{2,4,5,6}:{(24,1),(26,1),(55,1),(64,1),(69,1),(109,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(64,1)}
        43:{2,3,4,6,7}:{(25,1),(28,1),(57,1),(66,1),(67,1),(73,1),(113,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(224,1),(238,1)}
        44:{1,3,5,6}:{(26,1),(27,1),(64,1),(68,1),(69,1),(225,1)}
        45:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(65,1),(68,1),(70,1),(122,1),(128,1),(179,1),(186,1),(225,1)}
        46:{2,5,7}:{(27,1),(28,1),(69,1),(71,1)}
        47:{1,4,6,7}:{(28,1),(31,1),(71,1),(74,1),(126,1)}
        48:{2,4,7}:{(29,1),(30,1),(33,1),(74,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(34,1),(71,1),(74,1),(75,1),(132,1)}
        50:{1,2,6,7}:{(31,1),(75,1),(181,1)}
        51:{2,4,5}:{(32,1),(33,1),(76,1),(77,1),(133,1),(189,1)}
        52:{2,3,4,6}:{(33,1),(73,1),(76,1),(78,1),(125,1),(136,1),(189,1),(221,1),(224,1)}
        53:{1,4,6}:{(33,1),(34,1),(74,1),(77,1)}
        54:{1,2,5,6}:{(34,1),(75,1),(79,1),(133,1),(181,1)}
        55:{1,4,5,6}:{(35,1),(41,1),(80,1),(97,1),(149,1),(230,1)}
        56:{1,3,5,7}:{(35,1),(36,1),(42,1),(80,1),(82,1)}
        57:{2,4,6,7}:{(36,1),(38,1),(82,1),(83,1),(84,1),(137,1)}
        58:{1,3,4,7}:{(37,1),(39,1),(84,1),(158,1),(204,1)}
        59:{2,3,5,7}:{(37,1),(38,1),(40,1),(82,1),(84,1),(85,1),(193,1),(197,1)}
        60:{1,3,6,7}:{(38,1),(83,1),(85,1),(86,1),(190,1)}
        61:{1,3,4,5}:{(39,1),(87,1),(145,1),(200,1),(208,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(84,1),(87,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(85,1),(89,1),(90,1),(138,1),(145,1),(148,1),(190,1)}
        64:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        65:{3,4,5,7}:{(42,1),(91,1),(93,1),(204,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(46,1),(82,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(47,1),(83,1),(94,1),(95,1),(101,1),(102,1),(142,1),(143,1),(149,1),(153,1),(158,1),(190,1),(195,1),(202,1),(204,1),(207,1),(229,1),(235,1),(242,1)}
        68:{1,3,4,6}:{(44,1),(45,1),(91,1),(96,1),(149,1),(153,1),(202,1)}
        69:{2,5,6}:{(44,1),(46,1),(96,1),(97,1),(236,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(48,1),(51,1),(96,1),(98,1),(99,1),(156,1),(210,1),(236,1)}
        71:{1,5,7}:{(46,1),(47,1),(97,1)}
        72:{1,2,4,6,7}:{(47,1),(50,1),(95,1),(100,1),(101,1),(103,1),(154,1),(158,1),(196,1),(227,1),(242,1)}
        73:{2,3,4,7}:{(48,1),(52,1),(98,1),(102,1),(160,1),(204,1),(210,1)}
        74:{1,4,7}:{(48,1),(49,1),(53,1)}
        75:{1,2,5,7}:{(49,1),(50,1),(54,1),(103,1),(156,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,4,5}:{(51,1),(53,1),(104,1),(211,1)}
        78:{1,3,4,6}:{(52,1),(53,1),(102,1),(104,1),(106,1),(107,1),(153,1),(163,1),(164,1),(211,1),(235,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(103,1),(105,1),(106,1),(107,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(64,1),(108,1),(109,1),(239,1)}
        81:{1,3,4,5,7}:{(56,1),(58,1),(61,1),(65,1),(108,1),(110,1),(122,1),(168,1),(179,1),(217,1),(239,1)}
        82:{2,5,7}:{(56,1),(57,1),(109,1),(111,1)}
        83:{1,4,6,7}:{(57,1),(60,1),(111,1),(114,1),(166,1)}
        84:{2,4,7}:{(58,1),(59,1),(62,1),(114,1)}
        85:{1,3,5,7}:{(59,1),(60,1),(63,1),(111,1),(114,1),(115,1),(172,1)}
        86:{1,2,6,7}:{(60,1),(115,1),(212,1)}
        87:{2,4,5}:{(61,1),(62,1),(116,1),(117,1),(173,1),(220,1)}
        88:{2,3,4,6}:{(62,1),(113,1),(116,1),(118,1),(165,1),(176,1),(220,1),(221,1),(238,1)}
        89:{1,4,6}:{(62,1),(63,1),(114,1),(117,1)}
        90:{1,2,5,6}:{(63,1),(115,1),(119,1),(173,1),(212,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,3,5,6}:{(64,1),(66,1),(69,1),(109,1),(120,1),(121,1),(125,1),(165,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(120,1),(122,1),(180,1),(222,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(71,1),(111,1),(121,1),(122,1),(123,1),(179,1),(225,1),(239,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(131,1),(171,1),(177,1),(180,1),(181,1),(212,1),(224,1),(238,1)}
        96:{2,4,6}:{(68,1),(69,1),(70,1),(125,1),(126,1),(181,1)}
        97:{1,5,6}:{(69,1),(71,1),(126,1),(241,1)}
        98:{2,3,5,7}:{(70,1),(73,1),(76,1),(125,1),(128,1),(179,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(77,1),(126,1),(128,1),(226,1),(241,1)}
       100:{1,2,5,7}:{(71,1),(72,1),(123,1),(127,1),(130,1),(244,1)}
       101:{1,3,6,7}:{(72,1),(124,1),(130,1),(132,1),(182,1),(218,1),(237,1)}
       102:{1,3,4,7}:{(73,1),(74,1),(78,1),(128,1),(131,1),(132,1),(187,1),(226,1)}
       103:{1,2,4,7}:{(74,1),(75,1),(79,1),(131,1),(132,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(133,1),(241,1)}
       105:{1,2,4,5}:{(77,1),(79,1),(133,1),(134,1),(189,1)}
       106:{2,4,6}:{(78,1),(131,1),(133,1),(136,1),(181,1),(189,1)}
       107:{1,3,6}:{(79,1),(132,1),(134,1),(136,1)}
       108:{1,3,4,6}:{(80,1),(81,1),(91,1),(137,1),(149,1),(190,1),(202,1)}
       109:{2,5,6}:{(80,1),(82,1),(137,1),(138,1),(243,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(84,1),(87,1),(137,1),(139,1),(140,1),(193,1),(232,1),(243,1)}
       111:{1,5,7}:{(82,1),(83,1),(138,1)}
       112:{1,2,4,6,7}:{(83,1),(86,1),(95,1),(141,1),(142,1),(144,1),(159,1),(191,1),(195,1),(205,1),(235,1)}
       113:{2,3,4,7}:{(84,1),(88,1),(139,1),(143,1),(197,1),(204,1),(232,1)}
       114:{1,4,7}:{(84,1),(85,1),(89,1)}
       115:{1,2,5,7}:{(85,1),(86,1),(90,1),(144,1),(193,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,4,5}:{(87,1),(89,1),(145,1),(233,1)}
       118:{1,3,4,6}:{(88,1),(89,1),(143,1),(145,1),(147,1),(148,1),(190,1),(200,1),(201,1),(233,1),(242,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(144,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(94,1),(97,1),(138,1),(149,1),(150,1),(153,1),(190,1),(202,1)}
       122:{1,4,5,7}:{(93,1),(94,1),(149,1),(151,1),(158,1),(195,1),(208,1),(230,1)}
       123:{2,5,7}:{(94,1),(95,1),(150,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(101,1),(142,1),(152,1),(160,1),(197,1),(202,1),(206,1),(228,1)}
       125:{2,3,6}:{(96,1),(98,1),(153,1),(202,1)}
       126:{1,4,6}:{(96,1),(97,1),(99,1),(153,1)}
       127:{1,2,5,6}:{(97,1),(100,1),(150,1),(154,1),(155,1),(227,1),(236,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(102,1),(104,1),(153,1),(156,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(105,1),(151,1),(154,1),(156,1),(157,1),(158,1),(208,1),(210,1),(236,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(152,1),(155,1),(158,1)}
       131:{2,4,7}:{(102,1),(106,1),(156,1),(160,1)}
       132:{1,3,7}:{(103,1),(107,1),(160,1)}
       133:{2,5}:{(104,1),(106,1)}
       134:{1,3,5}:{(105,1),(107,1),(162,1),(163,1)}
       135:{1,2,4,6}:{(106,1),(159,1),(161,1),(164,1),(205,1),(211,1),(235,1)}
       136:{2,3,6}:{(106,1),(107,1),(160,1),(162,1),(164,1)}
       137:{2,4,6}:{(108,1),(109,1),(110,1),(165,1),(166,1),(212,1)}
       138:{1,5,6}:{(109,1),(111,1),(166,1),(244,1)}
       139:{2,3,5,7}:{(110,1),(113,1),(116,1),(165,1),(168,1),(179,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(117,1),(166,1),(168,1),(240,1),(244,1)}
       141:{1,2,5,7}:{(111,1),(112,1),(123,1),(167,1),(170,1),(241,1)}
       142:{1,3,6,7}:{(112,1),(124,1),(170,1),(172,1),(187,1),(213,1),(223,1)}
       143:{1,3,4,7}:{(113,1),(114,1),(118,1),(168,1),(171,1),(172,1),(218,1),(240,1)}
       144:{1,2,4,7}:{(114,1),(115,1),(119,1),(171,1),(172,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(173,1),(244,1)}
       146:{1,2,4,5}:{(117,1),(119,1),(173,1),(174,1),(220,1)}
       147:{2,4,6}:{(118,1),(171,1),(173,1),(176,1),(212,1),(220,1)}
       148:{1,3,6}:{(119,1),(172,1),(174,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,5,6}:{(121,1),(123,1),(177,1),(181,1),(212,1)}
       151:{2,4,5,7}:{(122,1),(123,1),(177,1),(179,1),(180,1),(222,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(130,1),(170,1),(178,1),(179,1),(180,1)}
       153:{1,3,6}:{(125,1),(126,1),(128,1),(181,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(129,1),(177,1),(181,1),(182,1),(183,1),(224,1)}
       155:{1,3,5,6}:{(127,1),(130,1),(178,1),(182,1),(183,1),(225,1),(237,1),(244,1)}
       156:{2,5,7}:{(128,1),(131,1),(133,1),(181,1)}
       157:{1,3,5,7}:{(129,1),(132,1),(134,1),(179,1),(182,1),(185,1),(186,1),(225,1)}
       158:{1,4,7}:{(130,1),(180,1),(183,1)}
       159:{1,2,4,7}:{(131,1),(135,1),(184,1),(187,1),(226,1)}
       160:{2,3,7}:{(131,1),(132,1),(136,1),(187,1)}
       161:{1,2,5}:{(133,1),(135,1),(188,1),(241,1)}
       162:{2,3,5}:{(133,1),(134,1),(136,1),(188,1),(189,1)}
       163:{1,3,4}:{(134,1),(189,1)}
       164:{1,3,6}:{(135,1),(136,1),(187,1),(188,1)}
       165:{2,3,6}:{(137,1),(139,1),(190,1),(202,1)}
       166:{1,4,6}:{(137,1),(138,1),(140,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(141,1),(150,1),(191,1),(192,1),(205,1),(243,1)}
       168:{1,3,5,7}:{(139,1),(140,1),(143,1),(145,1),(190,1),(193,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(144,1),(146,1),(151,1),(191,1),(193,1),(194,1),(195,1),(230,1),(232,1),(243,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(152,1),(192,1),(195,1)}
       171:{2,4,7}:{(143,1),(147,1),(193,1),(197,1)}
       172:{1,3,7}:{(144,1),(148,1),(197,1)}
       173:{2,5}:{(145,1),(147,1)}
       174:{1,3,5}:{(146,1),(148,1),(199,1),(200,1)}
       175:{1,2,4,6}:{(147,1),(196,1),(198,1),(201,1),(227,1),(233,1),(242,1)}
       176:{2,3,6}:{(147,1),(148,1),(197,1),(199,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{2,3,5,6}:{(150,1),(152,1),(155,1),(192,1),(202,1),(203,1),(206,1),(228,1),(234,1),(236,1),(243,1)}
       179:{3,5,7}:{(151,1),(202,1),(204,1),(234,1)}
       180:{2,4,7}:{(152,1),(158,1),(195,1),(203,1),(204,1)}
       181:{2,6}:{(153,1),(156,1)}
       182:{1,3,6}:{(154,1),(157,1),(202,1),(206,1)}
       183:{1,4,6}:{(155,1),(158,1),(203,1),(208,1)}
       184:{1,2,5,7}:{(156,1),(159,1),(161,1),(205,1),(209,1)}
       185:{2,3,5,7}:{(156,1),(157,1),(160,1),(162,1),(206,1),(209,1),(210,1),(236,1)}
       186:{1,3,4,7}:{(157,1),(158,1),(163,1),(204,1),(207,1),(210,1)}
       187:{1,3,7}:{(159,1),(160,1),(164,1)}
       188:{1,3,5}:{(161,1),(162,1),(164,1),(211,1)}
       189:{2,4}:{(162,1),(163,1),(211,1)}
       190:{1,3,6}:{(165,1),(166,1),(168,1),(212,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(169,1),(177,1),(212,1),(213,1),(214,1),(238,1)}
       192:{1,3,5,6}:{(167,1),(170,1),(178,1),(213,1),(214,1),(223,1),(239,1),(241,1)}
       193:{2,5,7}:{(168,1),(171,1),(173,1),(212,1)}
       194:{1,3,5,7}:{(169,1),(172,1),(174,1),(179,1),(213,1),(216,1),(217,1),(239,1)}
       195:{1,4,7}:{(170,1),(180,1),(214,1)}
       196:{1,2,4,7}:{(171,1),(175,1),(215,1),(218,1),(240,1)}
       197:{2,3,7}:{(171,1),(172,1),(176,1),(218,1)}
       198:{1,2,5}:{(173,1),(175,1),(219,1),(244,1)}
       199:{2,3,5}:{(173,1),(174,1),(176,1),(219,1),(220,1)}
       200:{1,3,4}:{(174,1),(220,1)}
       201:{1,3,6}:{(175,1),(176,1),(218,1),(219,1)}
       202:{3,6}:{(177,1),(179,1)}
       203:{2,4,6}:{(178,1),(180,1),(183,1),(214,1),(221,1),(222,1)}
       204:{3,4,7}:{(179,1),(180,1),(221,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{2,3,6}:{(181,1),(182,1),(185,1),(223,1),(224,1)}
       207:{1,3,4,6}:{(182,1),(183,1),(186,1),(221,1),(224,1),(225,1)}
       208:{1,4,5}:{(183,1),(222,1),(225,1),(244,1)}
       209:{1,3,5,7}:{(184,1),(185,1),(187,1),(188,1),(223,1),(226,1),(241,1)}
       210:{2,4,7}:{(185,1),(186,1),(189,1),(224,1),(226,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{2,6}:{(190,1),(193,1)}
       213:{1,3,6}:{(191,1),(194,1),(202,1),(228,1)}
       214:{1,4,6}:{(192,1),(195,1),(203,1),(230,1)}
       215:{1,2,5,7}:{(193,1),(196,1),(198,1),(227,1),(231,1)}
       216:{2,3,5,7}:{(193,1),(194,1),(197,1),(199,1),(228,1),(231,1),(232,1),(243,1)}
       217:{1,3,4,7}:{(194,1),(195,1),(200,1),(204,1),(229,1),(232,1)}
       218:{1,3,7}:{(196,1),(197,1),(201,1)}
       219:{1,3,5}:{(198,1),(199,1),(201,1),(233,1)}
       220:{2,4}:{(199,1),(200,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(203,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(209,1),(235,1)}
       224:{2,4,6}:{(206,1),(207,1),(210,1),(235,1),(236,1)}
       225:{1,3,5}:{(207,1),(208,1),(234,1),(236,1)}
       226:{1,4,7}:{(209,1),(210,1),(211,1),(235,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{2,3,6}:{(212,1),(213,1),(216,1),(237,1),(238,1)}
       229:{1,3,4,6}:{(213,1),(214,1),(217,1),(221,1),(238,1),(239,1)}
       230:{1,4,5}:{(214,1),(222,1),(239,1),(241,1)}
       231:{1,3,5,7}:{(215,1),(216,1),(218,1),(219,1),(237,1),(240,1),(244,1)}
       232:{2,4,7}:{(216,1),(217,1),(220,1),(238,1),(240,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(226,1),(241,1)}
       236:{2,5}:{(224,1),(225,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(231,1),(242,1)}
       238:{2,4,6}:{(228,1),(229,1),(232,1),(242,1),(243,1)}
       239:{1,3,5}:{(229,1),(230,1),(234,1),(243,1)}
       240:{1,4,7}:{(231,1),(232,1),(233,1),(242,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(240,1),(244,1)}
       243:{2,5}:{(238,1),(239,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2051 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2052 :   0:{1,2,3,6,7}:{(1,1),(2,1),(45,1),(79,1),(104,1),(153,1),(389,1),(493,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(26,1),(134,1),(442,1),(454,1),(455,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(116,1),(143,1),(206,1),(213,1)}
         3:{1,2,3,6,7}:{(8,1),(9,1),(42,1),(82,1),(95,1),(162,1),(306,1),(529,1)}
         4:{1,2,3,5,6}:{(1,1),(11,1),(15,1),(37,1),(45,1),(93,1),(153,1),(171,1),(265,1),(387,1),(402,1),(403,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(12,1),(13,1),(40,1),(45,1),(80,1),(161,1),(264,1),(270,1),(389,1),(485,1)}
         6:{1,2,4,7}:{(1,1),(11,1),(13,1),(181,1),(485,1)}
         7:{1,2,5,7}:{(2,1),(12,1),(15,1),(189,1),(265,1)}
         8:{1,2,3,5,7}:{(3,1),(16,1),(18,1),(19,1),(52,1),(203,1),(364,1),(506,1),(507,1)}
         9:{1,2,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(53,1),(69,1),(137,1),(144,1),(212,1)}
        10:{2,3,4,6,7}:{(5,1),(17,1),(20,1),(25,1),(51,1),(56,1),(71,1),(118,1),(124,1),(143,1),(212,1),(218,1),(340,1),(449,1)}
        11:{1,2,4,6}:{(4,1),(6,1),(21,1),(22,1),(130,1),(225,1),(441,1)}
        12:{1,3,5,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(327,1),(329,1)}
        13:{1,3,4,7}:{(6,1),(21,1),(25,1),(26,1),(455,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(27,1),(66,1)}
        15:{1,2,5,6}:{(7,1),(24,1),(27,1),(138,1),(213,1)}
        16:{1,2,3,5,6}:{(8,1),(29,1),(33,1),(74,1),(82,1),(95,1),(151,1),(187,1),(249,1),(304,1),(469,1),(470,1)}
        17:{1,3,4,6,7}:{(9,1),(10,1),(30,1),(31,1),(43,1),(77,1),(82,1),(103,1),(186,1),(192,1),(306,1),(418,1)}
        18:{1,2,4,7}:{(8,1),(29,1),(31,1),(259,1),(418,1)}
        19:{1,2,5,7}:{(9,1),(30,1),(33,1),(187,1),(267,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(30,1),(34,1),(35,1),(166,1),(189,1),(267,1),(277,1)}
        21:{1,3,4,6}:{(11,1),(13,1),(36,1),(37,1),(45,1),(284,1),(403,1)}
        22:{1,2,4,5}:{(11,1),(37,1),(89,1),(265,1),(386,1)}
        23:{1,4,5,7}:{(12,1),(34,1),(40,1),(386,1),(485,1)}
        24:{1,3,5,6}:{(12,1),(15,1),(35,1),(40,1),(45,1),(161,1),(266,1)}
        25:{2,3,4,7}:{(13,1),(36,1),(43,1),(44,1),(181,1),(410,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(37,1),(44,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(40,1),(45,1),(100,1)}
        28:{1,2,5,6,7}:{(15,1),(41,1),(46,1),(189,1),(271,1),(302,1),(388,1),(396,1)}
        29:{1,2,4,6}:{(16,1),(18,1),(47,1),(48,1),(199,1),(308,1),(363,1)}
        30:{1,3,5,7}:{(17,1),(19,1),(20,1),(49,1),(50,1),(244,1),(246,1)}
        31:{1,3,4,7}:{(18,1),(47,1),(51,1),(52,1),(507,1)}
        32:{1,2,4,5,7}:{(18,1),(19,1),(48,1),(49,1),(52,1),(53,1),(113,1)}
        33:{1,2,5,6}:{(19,1),(50,1),(53,1),(144,1),(207,1)}
        34:{2,4,5,7}:{(20,1),(23,1),(49,1),(55,1),(56,1),(337,1),(449,1)}
        35:{2,3,5,6}:{(20,1),(24,1),(50,1),(56,1),(71,1),(118,1),(120,1),(138,1),(207,1)}
        36:{2,3,4,6}:{(21,1),(25,1),(60,1),(61,1),(71,1),(130,1),(227,1),(351,1)}
        37:{1,3,5}:{(21,1),(22,1),(61,1)}
        38:{1,2,4,5,6}:{(22,1),(27,1),(62,1),(63,1),(64,1),(130,1),(138,1),(235,1),(328,1),(333,1),(345,1),(349,1),(441,1)}
        39:{1,3,4,5,7}:{(23,1),(26,1),(55,1),(58,1),(66,1),(67,1),(131,1),(139,1)}
        40:{1,4,6}:{(23,1),(24,1),(56,1)}
        41:{1,3,5,6,7}:{(24,1),(28,1),(57,1),(68,1),(72,1),(139,1),(214,1),(329,1),(442,1)}
        42:{1,2,3,7}:{(59,1),(69,1),(359,1)}
        43:{1,3,4,7}:{(25,1),(60,1),(69,1),(70,1),(239,1),(359,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(66,1),(70,1),(71,1)}
        45:{1,3,6}:{(26,1),(27,1),(71,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(63,1),(68,1),(72,1),(143,1),(355,1),(444,1),(458,1)}
        47:{1,3,4,6}:{(29,1),(31,1),(73,1),(74,1),(82,1),(367,1),(470,1)}
        48:{1,2,4,5}:{(29,1),(74,1),(147,1),(187,1),(303,1)}
        49:{1,4,5,7}:{(30,1),(34,1),(77,1),(303,1),(418,1)}
        50:{1,3,5,6}:{(30,1),(33,1),(35,1),(77,1),(82,1),(103,1),(188,1)}
        51:{2,3,4,7}:{(31,1),(73,1),(80,1),(81,1),(259,1),(477,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(74,1),(81,1),(82,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(77,1),(82,1),(158,1)}
        54:{1,2,5,6,7}:{(33,1),(78,1),(83,1),(193,1),(267,1),(305,1),(385,1),(396,1)}
        55:{3,4,5,7}:{(34,1),(86,1),(166,1),(391,1),(488,1)}
        56:{2,4,6}:{(34,1),(35,1),(40,1),(77,1),(86,1)}
        57:{2,3,5,6,7}:{(35,1),(41,1),(78,1),(87,1),(104,1),(162,1),(166,1),(189,1),(267,1),(396,1),(398,1),(487,1)}
        58:{1,3,4,5}:{(37,1),(89,1),(90,1),(386,1),(391,1)}
        59:{1,2,3,6}:{(42,1),(88,1),(91,1),(298,1)}
        60:{1,3,4,6}:{(36,1),(43,1),(91,1),(92,1),(103,1),(178,1),(180,1),(298,1)}
        61:{2,3,5}:{(36,1),(37,1),(89,1),(92,1)}
        62:{1,3,5,6}:{(37,1),(38,1),(45,1),(90,1),(93,1),(94,1),(392,1),(403,1)}
        63:{1,2,4,5,7}:{(38,1),(46,1),(94,1),(97,1),(181,1),(189,1),(297,1),(388,1),(393,1),(404,1),(409,1),(485,1)}
        64:{1,4,5,6}:{(40,1),(84,1),(96,1),(97,1),(266,1)}
        65:{1,2,3,5,7}:{(42,1),(88,1),(95,1),(98,1),(102,1),(187,1),(190,1),(249,1),(365,1),(467,1)}
        66:{2,4,5,7}:{(39,1),(44,1),(89,1),(99,1),(100,1),(181,1),(189,1)}
        67:{1,3,4,6}:{(39,1),(40,1),(45,1),(86,1),(96,1),(100,1)}
        68:{1,4,6,7}:{(40,1),(41,1),(87,1),(97,1),(485,1)}
        69:{1,2,4,7}:{(42,1),(43,1),(91,1),(102,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(92,1),(99,1),(102,1),(103,1)}
        71:{2,3,6}:{(44,1),(45,1),(100,1),(103,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(94,1),(104,1),(487,1)}
        73:{2,3,4,6}:{(47,1),(51,1),(107,1),(108,1),(118,1),(199,1),(310,1),(429,1)}
        74:{1,3,5}:{(47,1),(48,1),(108,1)}
        75:{1,2,4,5,6}:{(48,1),(53,1),(109,1),(110,1),(111,1),(199,1),(207,1),(245,1),(318,1),(333,1),(363,1),(423,1),(427,1)}
        76:{1,3,4,5,7}:{(49,1),(52,1),(55,1),(105,1),(113,1),(114,1),(200,1),(208,1)}
        77:{1,4,6}:{(49,1),(50,1),(56,1)}
        78:{1,3,5,6,7}:{(50,1),(54,1),(57,1),(115,1),(119,1),(145,1),(208,1),(246,1),(364,1)}
        79:{1,2,3,7}:{(106,1),(116,1),(437,1)}
        80:{1,3,4,7}:{(51,1),(107,1),(116,1),(117,1),(322,1),(437,1)}
        81:{2,3,5,7}:{(51,1),(52,1),(108,1),(113,1),(117,1),(118,1)}
        82:{1,3,6}:{(52,1),(53,1),(118,1)}
        83:{1,2,4,6,7}:{(53,1),(54,1),(110,1),(115,1),(119,1),(212,1),(433,1),(444,1),(510,1)}
        84:{2,4,5,6}:{(56,1),(64,1),(111,1),(120,1),(121,1),(138,1),(207,1)}
        85:{2,3,4,5,7}:{(55,1),(66,1),(113,1),(122,1),(123,1),(125,1),(194,1),(220,1),(221,1),(230,1),(313,1),(337,1),(443,1),(449,1),(456,1),(508,1)}
        86:{3,4,6}:{(55,1),(56,1),(120,1)}
        87:{2,4,6,7}:{(56,1),(57,1),(68,1),(115,1),(121,1),(124,1),(449,1)}
        88:{1,2,3,5}:{(59,1),(128,1),(132,1),(237,1)}
        89:{2,4,5}:{(58,1),(61,1),(129,1),(130,1)}
        90:{1,3,4,6}:{(58,1),(62,1),(130,1),(131,1),(441,1),(445,1)}
        91:{1,2,4,6}:{(59,1),(60,1),(69,1),(128,1),(132,1),(144,1)}
        92:{1,3,5}:{(60,1),(61,1),(129,1),(132,1)}
        93:{2,3,5,6}:{(61,1),(62,1),(71,1),(130,1),(133,1),(134,1),(138,1),(349,1),(351,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(72,1),(131,1),(134,1),(446,1),(455,1)}
        95:{1,2,3,6}:{(65,1),(137,1),(144,1),(247,1),(503,1)}
        96:{1,3,5,6}:{(64,1),(67,1),(120,1),(138,1),(139,1)}
        97:{1,4,5,7}:{(64,1),(68,1),(121,1),(139,1),(329,1)}
        98:{1,2,4,7}:{(65,1),(128,1),(137,1),(140,1),(308,1)}
        99:{1,4,5,7}:{(66,1),(70,1),(129,1),(142,1),(239,1),(246,1)}
       100:{2,4,6}:{(66,1),(67,1),(71,1),(138,1),(142,1)}
       101:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(124,1),(131,1),(139,1),(143,1)}
       102:{1,2,5,7}:{(69,1),(70,1),(132,1),(144,1)}
       103:{1,3,6}:{(70,1),(71,1),(142,1),(144,1)}
       104:{2,3,6,7}:{(71,1),(72,1),(134,1),(143,1),(145,1),(458,1)}
       105:{1,3,4,5}:{(74,1),(147,1),(148,1),(303,1),(391,1)}
       106:{1,2,3,6}:{(79,1),(146,1),(149,1),(381,1)}
       107:{1,3,4,6}:{(73,1),(80,1),(149,1),(150,1),(161,1),(256,1),(258,1),(381,1)}
       108:{2,3,5}:{(73,1),(74,1),(147,1),(150,1)}
       109:{1,3,5,6}:{(74,1),(75,1),(82,1),(148,1),(151,1),(152,1),(392,1),(470,1)}
       110:{1,2,4,5,7}:{(75,1),(83,1),(152,1),(155,1),(259,1),(267,1),(305,1),(380,1),(393,1),(418,1),(471,1),(476,1)}
       111:{1,4,5,6}:{(77,1),(84,1),(154,1),(155,1),(188,1)}
       112:{1,2,3,5,7}:{(79,1),(146,1),(153,1),(156,1),(160,1),(171,1),(265,1),(268,1),(282,1),(400,1)}
       113:{2,4,5,7}:{(76,1),(81,1),(147,1),(157,1),(158,1),(259,1),(267,1)}
       114:{1,3,4,6}:{(76,1),(77,1),(82,1),(86,1),(154,1),(158,1)}
       115:{1,4,6,7}:{(77,1),(78,1),(87,1),(155,1),(418,1)}
       116:{1,2,4,7}:{(79,1),(80,1),(149,1),(160,1)}
       117:{1,3,5,7}:{(80,1),(81,1),(150,1),(157,1),(160,1),(161,1)}
       118:{2,3,6}:{(81,1),(82,1),(158,1),(161,1)}
       119:{1,3,6,7}:{(82,1),(83,1),(152,1),(162,1),(487,1)}
       120:{3,5,6}:{(84,1),(86,1),(166,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(97,1),(155,1),(166,1),(189,1),(267,1)}
       122:{1,3,4,5,7}:{(85,1),(99,1),(157,1),(168,1),(169,1),(172,1),(190,1),(250,1),(268,1),(279,1),(291,1),(303,1),(374,1),(386,1),(391,1),(418,1),(485,1),(488,1),(491,1),(527,1)}
       123:{2,3,4,6}:{(85,1),(86,1),(100,1),(158,1),(165,1),(169,1),(280,1),(397,1),(486,1),(496,1),(532,1)}
       124:{3,4,6,7}:{(86,1),(87,1),(166,1),(487,1),(488,1)}
       125:{2,3,4,5}:{(89,1),(172,1),(173,1),(289,1),(391,1),(407,1)}
       126:{1,2,3,5,6}:{(88,1),(95,1),(174,1),(175,1),(182,1),(187,1),(295,1),(298,1),(301,1),(304,1),(408,1),(412,1)}
       127:{1,3,4,5,6}:{(90,1),(96,1),(163,1),(176,1),(177,1),(273,1),(287,1),(392,1),(414,1),(499,1)}
       128:{1,2,4}:{(88,1),(178,1)}
       129:{1,4,5}:{(89,1),(92,1),(180,1)}
       130:{2,4,6}:{(89,1),(90,1),(93,1),(180,1),(181,1)}
       131:{1,3,4,7}:{(90,1),(94,1),(181,1),(485,1),(488,1)}
       132:{1,2,5}:{(91,1),(92,1)}
       133:{1,3,5,6}:{(92,1),(93,1),(103,1),(180,1),(182,1),(183,1),(188,1),(298,1)}
       134:{2,3,5,7}:{(93,1),(94,1),(104,1),(181,1),(183,1),(189,1),(409,1),(410,1)}
       135:{1,2,3,6,7}:{(95,1),(174,1),(184,1),(193,1),(306,1),(365,1),(412,1),(497,1)}
       136:{1,4,5,6,7}:{(97,1),(164,1),(185,1),(385,1),(390,1),(501,1)}
       137:{1,2,4,6}:{(95,1),(98,1),(186,1),(187,1)}
       138:{2,5,6}:{(96,1),(100,1),(188,1),(189,1)}
       139:{1,3,5,7}:{(96,1),(97,1),(101,1),(166,1),(189,1)}
       140:{1,3,4,7}:{(98,1),(167,1),(178,1),(186,1),(190,1),(367,1),(418,1)}
       141:{1,2,4,5,7}:{(98,1),(99,1),(102,1),(168,1),(179,1),(187,1),(190,1),(191,1),(299,1),(303,1),(305,1),(368,1),(418,1),(467,1),(471,1),(527,1)}
       142:{1,4,6}:{(99,1),(100,1),(103,1),(188,1)}
       143:{2,4,6,7}:{(100,1),(101,1),(104,1),(181,1),(189,1),(192,1)}
       144:{1,2,6}:{(102,1),(103,1)}
       145:{1,3,6,7}:{(103,1),(104,1),(183,1),(192,1),(193,1)}
       146:{1,2,3,5}:{(106,1),(197,1),(201,1),(320,1)}
       147:{2,4,5}:{(105,1),(108,1),(198,1),(199,1)}
       148:{1,3,4,6}:{(105,1),(109,1),(199,1),(200,1),(363,1),(445,1)}
       149:{1,2,4,6}:{(106,1),(107,1),(116,1),(197,1),(201,1),(213,1)}
       150:{1,3,5}:{(107,1),(108,1),(198,1),(201,1)}
       151:{2,3,5,6}:{(108,1),(109,1),(118,1),(199,1),(202,1),(203,1),(207,1),(427,1),(429,1)}
       152:{1,3,5,7}:{(109,1),(110,1),(119,1),(200,1),(203,1),(446,1),(507,1)}
       153:{1,2,3,6}:{(112,1),(206,1),(213,1),(330,1),(451,1)}
       154:{1,3,5,6}:{(111,1),(114,1),(120,1),(207,1),(208,1)}
       155:{1,4,5,7}:{(111,1),(115,1),(121,1),(208,1),(246,1)}
       156:{1,2,4,7}:{(112,1),(197,1),(206,1),(209,1),(225,1)}
       157:{1,4,5,7}:{(113,1),(117,1),(198,1),(211,1),(322,1),(329,1)}
       158:{2,4,6}:{(113,1),(114,1),(118,1),(207,1),(211,1)}
       159:{1,3,4,6,7}:{(114,1),(115,1),(119,1),(124,1),(200,1),(208,1),(212,1)}
       160:{1,2,5,7}:{(116,1),(117,1),(201,1),(213,1)}
       161:{1,3,6}:{(117,1),(118,1),(211,1),(213,1)}
       162:{2,3,6,7}:{(118,1),(119,1),(203,1),(212,1),(214,1),(510,1)}
       163:{3,4,5,6}:{(120,1),(215,1),(216,1),(445,1),(518,1)}
       164:{2,4,5,6,7}:{(121,1),(136,1),(205,1),(217,1),(243,1),(326,1),(332,1),(444,1),(520,1)}
       165:{2,3,5,6}:{(120,1),(123,1),(138,1),(207,1),(215,1),(219,1),(220,1),(518,1),(524,1),(545,1)}
       166:{3,5,7}:{(120,1),(121,1),(124,1)}
       167:{2,3,4,7}:{(140,1),(209,1),(218,1),(221,1),(227,1),(310,1),(449,1)}
       168:{2,4,5,7}:{(122,1),(221,1),(222,1),(228,1),(311,1),(337,1),(339,1),(352,1),(430,1),(449,1)}
       169:{1,3,4,6}:{(122,1),(123,1),(142,1),(211,1),(219,1),(222,1),(247,1),(330,1),(363,1),(441,1),(445,1),(521,1),(542,1)}
       170:{2,3,4,6,7}:{(123,1),(124,1),(143,1),(212,1),(220,1),(223,1),(230,1),(313,1),(332,1),(340,1),(347,1),(425,1),(449,1),(519,1),(525,1),(546,1)}
       171:{1,2,3,5}:{(224,1),(225,1),(343,1),(344,1)}
       172:{1,3,4,5}:{(125,1),(129,1),(228,1),(229,1),(237,1),(344,1),(452,1)}
       173:{2,3,4,6}:{(125,1),(130,1),(226,1),(229,1),(230,1),(351,1),(445,1),(459,1)}
       174:{1,2,3,5,7}:{(126,1),(135,1),(231,1),(240,1),(242,1),(353,1),(359,1),(364,1),(460,1)}
       175:{1,2,4,6}:{(126,1),(128,1),(231,1),(233,1),(234,1),(363,1),(459,1)}
       176:{2,4,5,6}:{(127,1),(130,1),(138,1),(226,1),(235,1),(236,1),(349,1),(459,1),(524,1)}
       177:{1,3,4,5,7}:{(127,1),(131,1),(139,1),(216,1),(232,1),(236,1),(334,1),(350,1),(446,1),(463,1),(526,1)}
       178:{1,3,4}:{(128,1),(227,1),(237,1)}
       179:{1,2,4,5}:{(128,1),(129,1),(132,1),(228,1),(237,1),(238,1)}
       180:{1,4,6}:{(129,1),(130,1),(133,1),(239,1)}
       181:{2,4,7}:{(130,1),(131,1),(134,1),(239,1)}
       182:{1,2,5,6}:{(132,1),(133,1),(144,1),(238,1),(240,1),(349,1)}
       183:{1,3,5,7}:{(133,1),(134,1),(145,1),(239,1),(240,1),(246,1),(359,1)}
       184:{1,2,4,6,7}:{(135,1),(137,1),(231,1),(241,1),(242,1),(354,1),(419,1),(503,1),(525,1)}
       185:{1,3,5,6,7}:{(136,1),(139,1),(217,1),(232,1),(243,1),(526,1)}
       186:{1,3,4,6}:{(137,1),(140,1),(218,1),(244,1),(247,1),(363,1)}
       187:{1,2,5}:{(137,1),(244,1)}
       188:{1,5,6}:{(138,1),(142,1),(246,1)}
       189:{2,5,7}:{(138,1),(139,1),(143,1),(246,1)}
       190:{1,3,5,7}:{(140,1),(141,1),(221,1),(237,1),(244,1),(247,1),(359,1),(422,1),(507,1)}
       191:{1,2,4,6}:{(141,1),(142,1),(144,1),(222,1),(245,1),(247,1),(363,1),(503,1),(542,1)}
       192:{1,4,6,7}:{(142,1),(143,1),(145,1),(239,1),(246,1)}
       193:{1,2,6,7}:{(144,1),(145,1),(240,1),(458,1)}
       194:{2,3,4,5}:{(147,1),(250,1),(251,1),(372,1),(391,1),(474,1)}
       195:{1,2,3,5,6}:{(146,1),(153,1),(252,1),(253,1),(260,1),(265,1),(378,1),(381,1),(384,1),(387,1),(475,1),(479,1)}
       196:{1,3,4,5,6}:{(148,1),(154,1),(163,1),(254,1),(255,1),(273,1),(370,1),(392,1),(481,1),(535,1)}
       197:{1,2,4}:{(146,1),(256,1)}
       198:{1,4,5}:{(147,1),(150,1),(258,1)}
       199:{2,4,6}:{(147,1),(148,1),(151,1),(258,1),(259,1)}
       200:{1,3,4,7}:{(148,1),(152,1),(259,1),(418,1),(488,1)}
       201:{1,2,5}:{(149,1),(150,1)}
       202:{1,3,5,6}:{(150,1),(151,1),(161,1),(258,1),(260,1),(261,1),(266,1),(381,1)}
       203:{2,3,5,7}:{(151,1),(152,1),(162,1),(259,1),(261,1),(267,1),(476,1),(477,1)}
       204:{1,2,3,6,7}:{(153,1),(252,1),(262,1),(271,1),(282,1),(389,1),(479,1),(533,1)}
       205:{1,4,5,6,7}:{(155,1),(164,1),(263,1),(302,1),(390,1),(537,1)}
       206:{1,2,4,6}:{(153,1),(156,1),(264,1),(265,1)}
       207:{2,5,6}:{(154,1),(158,1),(266,1),(267,1)}
       208:{1,3,5,7}:{(154,1),(155,1),(159,1),(166,1),(267,1)}
       209:{1,3,4,7}:{(156,1),(167,1),(256,1),(264,1),(268,1),(284,1),(485,1)}
       210:{1,2,4,5,7}:{(156,1),(157,1),(160,1),(168,1),(257,1),(265,1),(268,1),(269,1),(285,1),(382,1),(386,1),(388,1),(400,1),(404,1),(485,1),(491,1)}
       211:{1,4,6}:{(157,1),(158,1),(161,1),(266,1)}
       212:{2,4,6,7}:{(158,1),(159,1),(162,1),(259,1),(267,1),(270,1)}
       213:{1,2,6}:{(160,1),(161,1)}
       214:{1,3,6,7}:{(161,1),(162,1),(261,1),(270,1),(271,1)}
       215:{2,4,5,6}:{(163,1),(165,1),(273,1),(274,1),(397,1)}
       216:{3,4,5,7}:{(163,1),(166,1),(272,1),(274,1),(488,1),(538,1)}
       217:{3,5,6,7}:{(164,1),(166,1),(272,1),(487,1),(538,1)}
       218:{2,3,4,6}:{(167,1),(186,1),(264,1),(277,1),(280,1),(397,1)}
       219:{1,3,5,6}:{(165,1),(169,1),(188,1),(266,1),(273,1),(278,1),(279,1),(392,1),(539,1),(549,1)}
       220:{2,3,5,7}:{(165,1),(166,1),(170,1),(189,1),(267,1),(274,1),(279,1),(538,1),(541,1),(551,1)}
       221:{2,3,5,7}:{(167,1),(168,1),(190,1),(268,1),(277,1),(280,1),(289,1),(372,1),(410,1),(477,1)}
       222:{2,4,6}:{(168,1),(169,1),(278,1),(280,1)}
       223:{1,3,4,6,7}:{(169,1),(170,1),(192,1),(270,1),(279,1),(281,1),(291,1),(306,1),(374,1),(389,1),(390,1),(406,1),(418,1),(473,1),(485,1),(487,1),(488,1),(540,1),(550,1)}
       224:{1,2,3,6}:{(171,1),(282,1),(283,1),(403,1)}
       225:{1,2,4}:{(171,1),(284,1)}
       226:{2,3,5,6}:{(173,1),(176,1),(287,1),(288,1),(392,1)}
       227:{2,3,4}:{(178,1),(284,1),(289,1)}
       228:{2,4,5}:{(172,1),(289,1),(290,1)}
       229:{1,3,4,6}:{(172,1),(173,1),(180,1),(287,1),(290,1),(291,1),(298,1),(403,1),(494,1)}
       230:{2,3,4,7}:{(173,1),(181,1),(288,1),(291,1),(410,1),(488,1),(498,1)}
       231:{1,2,4,7}:{(174,1),(175,1),(292,1),(418,1),(498,1)}
       232:{1,3,4,6,7}:{(177,1),(185,1),(272,1),(294,1),(390,1),(406,1),(487,1)}
       233:{1,3,4,6}:{(175,1),(178,1),(286,1),(292,1),(295,1),(298,1),(412,1)}
       234:{1,2,4,5}:{(175,1),(187,1),(295,1),(303,1),(407,1)}
       235:{1,4,5,6}:{(176,1),(180,1),(188,1),(287,1),(297,1),(494,1),(539,1)}
       236:{2,4,5,7}:{(176,1),(177,1),(181,1),(189,1),(288,1),(294,1),(297,1),(409,1),(498,1),(541,1)}
       237:{1,3,5}:{(178,1),(179,1),(289,1),(298,1)}
       238:{1,2,4,6}:{(179,1),(180,1),(182,1),(290,1),(298,1),(299,1)}
       239:{1,4,7}:{(180,1),(181,1),(183,1)}
       240:{1,2,5,7}:{(182,1),(183,1),(193,1),(299,1),(409,1)}
       241:{1,3,4,6,7}:{(184,1),(186,1),(275,1),(292,1),(300,1),(306,1),(412,1),(416,1),(418,1),(466,1),(528,1),(550,1)}
       242:{1,2,5,7}:{(184,1),(187,1),(300,1),(301,1),(541,1)}
       243:{2,5,6,7}:{(185,1),(189,1),(294,1),(302,1),(541,1)}
       244:{1,3,5}:{(186,1),(187,1),(277,1),(303,1)}
       245:{1,2,5,6}:{(187,1),(188,1),(191,1),(278,1),(304,1),(305,1),(549,1)}
       246:{1,5,7}:{(188,1),(189,1),(192,1)}
       247:{1,3,6}:{(190,1),(191,1),(280,1)}
       248:{1,2,4,6,7}:{(191,1),(192,1),(193,1),(281,1),(299,1),(305,1),(306,1),(418,1),(471,1),(529,1),(550,1)}
       249:{1,2,3,5}:{(307,1),(308,1),(421,1),(422,1)}
       250:{1,3,4,5}:{(194,1),(198,1),(311,1),(312,1),(320,1),(422,1),(504,1)}
       251:{2,3,4,6}:{(194,1),(199,1),(309,1),(312,1),(313,1),(429,1),(445,1),(511,1)}
       252:{1,2,3,5,7}:{(195,1),(204,1),(314,1),(323,1),(325,1),(431,1),(437,1),(442,1),(512,1)}
       253:{1,2,4,6}:{(195,1),(197,1),(314,1),(316,1),(317,1),(441,1),(511,1)}
       254:{2,4,5,6}:{(196,1),(199,1),(207,1),(309,1),(318,1),(319,1),(427,1),(511,1),(545,1)}
       255:{1,3,4,5,7}:{(196,1),(200,1),(208,1),(216,1),(315,1),(319,1),(334,1),(428,1),(446,1),(515,1),(547,1)}
       256:{1,3,4}:{(197,1),(310,1),(320,1)}
       257:{1,2,4,5}:{(197,1),(198,1),(201,1),(311,1),(320,1),(321,1)}
       258:{1,4,6}:{(198,1),(199,1),(202,1),(322,1)}
       259:{2,4,7}:{(199,1),(200,1),(203,1),(322,1)}
       260:{1,2,5,6}:{(201,1),(202,1),(213,1),(321,1),(323,1),(427,1)}
       261:{1,3,5,7}:{(202,1),(203,1),(214,1),(322,1),(323,1),(329,1),(437,1)}
       262:{1,2,4,6,7}:{(204,1),(206,1),(314,1),(324,1),(325,1),(341,1),(432,1),(451,1),(546,1)}
       263:{1,3,5,6,7}:{(205,1),(208,1),(217,1),(315,1),(326,1),(547,1)}
       264:{1,3,4,6}:{(206,1),(209,1),(218,1),(327,1),(330,1),(441,1)}
       265:{1,2,5}:{(206,1),(327,1)}
       266:{1,5,6}:{(207,1),(211,1),(329,1)}
       267:{2,5,7}:{(207,1),(208,1),(212,1),(329,1)}
       268:{1,3,5,7}:{(209,1),(210,1),(221,1),(320,1),(327,1),(330,1),(344,1),(437,1),(455,1)}
       269:{1,2,4,6}:{(210,1),(211,1),(213,1),(222,1),(328,1),(330,1),(441,1),(451,1),(521,1)}
       270:{1,4,6,7}:{(211,1),(212,1),(214,1),(322,1),(329,1)}
       271:{1,2,6,7}:{(213,1),(214,1),(323,1),(510,1)}
       272:{3,4,6,7}:{(216,1),(217,1),(332,1)}
       273:{1,4,5,6}:{(215,1),(219,1),(333,1),(334,1),(363,1),(441,1)}
       274:{2,4,5,7}:{(215,1),(216,1),(220,1),(332,1),(334,1),(449,1)}
       275:{2,3,4,6,7}:{(218,1),(241,1),(324,1),(335,1),(340,1),(346,1),(424,1),(447,1),(449,1),(457,1),(509,1),(519,1),(525,1),(546,1)}
       276:{2,3,5,6,7}:{(217,1),(220,1),(243,1),(326,1),(332,1),(336,1),(347,1),(425,1)}
       277:{2,3,5}:{(218,1),(244,1),(327,1),(337,1)}
       278:{2,5,6}:{(219,1),(222,1),(339,1)}
       279:{1,3,5,7}:{(219,1),(220,1),(223,1),(246,1),(329,1),(334,1),(339,1),(446,1),(548,1),(552,1)}
       280:{2,3,6}:{(221,1),(222,1),(247,1),(330,1)}
       281:{2,4,6,7}:{(222,1),(223,1),(339,1),(340,1),(352,1),(430,1),(449,1),(458,1),(510,1)}
       282:{1,2,3,7}:{(224,1),(341,1),(455,1)}
       283:{1,2,4,6}:{(224,1),(225,1),(341,1),(342,1),(343,1),(451,1)}
       284:{1,3,4}:{(225,1),(227,1),(344,1)}
       285:{1,2,4,5}:{(225,1),(228,1),(343,1),(344,1),(345,1),(452,1)}
       286:{2,3,4,6}:{(227,1),(233,1),(342,1),(346,1),(348,1),(351,1),(457,1),(459,1)}
       287:{1,3,5,6}:{(226,1),(229,1),(235,1),(349,1),(350,1)}
       288:{2,3,5,7}:{(226,1),(230,1),(236,1),(347,1),(350,1),(446,1)}
       289:{2,3,5}:{(227,1),(228,1),(237,1),(344,1),(351,1)}
       290:{2,4,6}:{(228,1),(229,1),(349,1),(351,1),(352,1)}
       291:{1,3,4,7}:{(229,1),(230,1),(239,1),(350,1),(352,1),(359,1),(455,1),(523,1)}
       292:{1,3,4,7}:{(231,1),(233,1),(346,1),(353,1),(359,1)}
       293:{1,2,4,5,7}:{(231,1),(234,1),(242,1),(353,1),(354,1),(360,1),(456,1)}
       294:{2,4,6,7}:{(232,1),(236,1),(243,1),(347,1),(355,1),(458,1)}
       295:{1,3,5}:{(233,1),(234,1),(348,1)}
       296:{1,2,4,5,6}:{(234,1),(235,1),(238,1),(245,1),(333,1),(349,1),(354,1),(357,1),(358,1),(363,1),(459,1),(464,1),(524,1)}
       297:{1,4,5,7}:{(235,1),(236,1),(239,1),(246,1),(350,1),(355,1),(523,1),(548,1)}
       298:{1,3,6}:{(237,1),(238,1),(351,1),(359,1)}
       299:{1,2,4,7}:{(238,1),(239,1),(240,1),(352,1),(359,1)}
       300:{1,3,5,7}:{(241,1),(242,1),(244,1),(335,1),(360,1),(361,1),(552,1)}
       301:{1,2,5,6}:{(242,1),(354,1),(361,1),(503,1),(524,1)}
       302:{1,5,6,7}:{(243,1),(246,1),(355,1),(548,1)}
       303:{1,4,5}:{(244,1),(337,1),(363,1)}
       304:{1,3,5,6}:{(244,1),(245,1),(247,1),(338,1),(363,1),(364,1)}
       305:{1,2,5,7}:{(245,1),(246,1),(248,1),(339,1),(364,1),(552,1)}
       306:{1,3,6,7}:{(247,1),(248,1),(340,1),(359,1),(364,1),(507,1)}
       307:{1,2,3,6}:{(249,1),(365,1),(366,1),(470,1)}
       308:{1,2,4}:{(249,1),(367,1)}
       309:{2,3,5,6}:{(251,1),(254,1),(370,1),(371,1),(392,1)}
       310:{2,3,4}:{(256,1),(367,1),(372,1)}
       311:{2,4,5}:{(250,1),(372,1),(373,1)}
       312:{1,3,4,6}:{(250,1),(251,1),(258,1),(370,1),(373,1),(374,1),(381,1),(470,1),(530,1)}
       313:{2,3,4,7}:{(251,1),(259,1),(371,1),(374,1),(477,1),(488,1),(534,1)}
       314:{1,2,4,7}:{(252,1),(253,1),(375,1),(485,1),(534,1)}
       315:{1,3,4,6,7}:{(255,1),(263,1),(272,1),(377,1),(390,1),(473,1),(487,1)}
       316:{1,3,4,6}:{(253,1),(256,1),(369,1),(375,1),(378,1),(381,1),(479,1)}
       317:{1,2,4,5}:{(253,1),(265,1),(378,1),(386,1),(474,1)}
       318:{1,4,5,6}:{(254,1),(258,1),(266,1),(370,1),(380,1),(530,1),(549,1)}
       319:{2,4,5,7}:{(254,1),(255,1),(259,1),(267,1),(371,1),(377,1),(380,1),(476,1),(534,1),(551,1)}
       320:{1,3,5}:{(256,1),(257,1),(372,1),(381,1)}
       321:{1,2,4,6}:{(257,1),(258,1),(260,1),(373,1),(381,1),(382,1)}
       322:{1,4,7}:{(258,1),(259,1),(261,1)}
       323:{1,2,5,7}:{(260,1),(261,1),(271,1),(382,1),(476,1)}
       324:{1,3,4,6,7}:{(262,1),(264,1),(275,1),(375,1),(383,1),(389,1),(399,1),(479,1),(483,1),(485,1),(492,1),(540,1)}
       325:{1,2,5,7}:{(262,1),(265,1),(383,1),(384,1),(551,1)}
       326:{2,5,6,7}:{(263,1),(267,1),(377,1),(385,1),(551,1)}
       327:{1,3,5}:{(264,1),(265,1),(277,1),(386,1)}
       328:{1,2,5,6}:{(265,1),(266,1),(269,1),(278,1),(387,1),(388,1),(539,1)}
       329:{1,5,7}:{(266,1),(267,1),(270,1)}
       330:{1,3,6}:{(268,1),(269,1),(280,1)}
       331:{1,2,4,6,7}:{(269,1),(270,1),(271,1),(281,1),(382,1),(388,1),(389,1),(404,1),(485,1),(493,1),(540,1)}
       332:{2,4,6,7}:{(272,1),(274,1),(276,1),(390,1)}
       333:{2,4,5,6}:{(273,1),(278,1),(392,1),(393,1),(397,1)}
       334:{1,4,5,7}:{(273,1),(274,1),(279,1),(390,1),(393,1),(418,1),(485,1)}
       335:{2,3,5,7}:{(275,1),(277,1),(300,1),(383,1),(394,1),(395,1),(538,1),(541,1),(551,1)}
       336:{1,3,5,6,7}:{(276,1),(279,1),(302,1),(385,1),(390,1),(396,1),(406,1),(473,1),(487,1)}
       337:{2,4,5}:{(277,1),(303,1),(386,1),(391,1),(397,1)}
       338:{2,3,5,6}:{(277,1),(278,1),(280,1),(304,1),(387,1),(392,1),(397,1),(398,1)}
       339:{2,5,7}:{(278,1),(279,1),(281,1)}
       340:{2,3,6,7}:{(280,1),(281,1),(306,1),(389,1),(398,1),(410,1),(477,1),(487,1)}
       341:{1,2,4,7}:{(282,1),(283,1),(399,1),(400,1)}
       342:{1,3,4,6}:{(283,1),(284,1),(286,1),(399,1),(401,1),(403,1),(492,1),(494,1)}
       343:{1,2,5}:{(283,1),(401,1)}
       344:{1,3,5}:{(284,1),(285,1),(289,1),(403,1)}
       345:{1,2,4,6}:{(285,1),(290,1),(402,1),(403,1),(404,1),(494,1)}
       346:{2,3,4,7}:{(286,1),(292,1),(399,1),(405,1),(410,1),(498,1)}
       347:{2,3,6,7}:{(288,1),(294,1),(406,1),(487,1)}
       348:{2,3,5}:{(286,1),(295,1),(401,1),(407,1)}
       349:{2,5,6}:{(287,1),(290,1),(409,1)}
       350:{1,3,5,7}:{(287,1),(288,1),(291,1),(297,1),(406,1),(409,1)}
       351:{2,3,6}:{(289,1),(290,1),(298,1),(403,1),(410,1)}
       352:{2,4,7}:{(290,1),(291,1),(409,1),(410,1)}
       353:{1,3,5,7}:{(292,1),(293,1),(295,1),(405,1),(412,1)}
       354:{1,2,4,6}:{(293,1),(301,1),(412,1),(416,1),(496,1)}
       355:{1,4,6,7}:{(294,1),(297,1),(302,1),(406,1)}
       356:{1,3,4,5}:{(295,1),(303,1),(391,1),(407,1),(414,1)}
       357:{1,3,5,6}:{(295,1),(296,1),(298,1),(392,1),(408,1),(412,1),(414,1),(415,1)}
       358:{1,2,4,5,7}:{(296,1),(297,1),(299,1),(305,1),(393,1),(409,1),(413,1),(415,1),(418,1),(498,1),(501,1),(541,1)}
       359:{1,3,7}:{(298,1),(299,1),(410,1)}
       360:{1,4,5,7}:{(300,1),(303,1),(394,1),(416,1),(418,1)}
       361:{1,3,5,6}:{(300,1),(301,1),(395,1),(412,1),(416,1),(528,1),(549,1)}
       362:{1,2,5,6,7}:{(301,1),(302,1),(305,1),(396,1),(413,1),(417,1),(529,1),(541,1)}
       363:{1,4,6}:{(303,1),(304,1),(397,1),(418,1)}
       364:{1,3,5,7}:{(304,1),(305,1),(306,1),(398,1),(418,1)}
       365:{1,2,3,7}:{(307,1),(419,1),(507,1)}
       366:{1,2,4,6}:{(307,1),(308,1),(419,1),(420,1),(421,1),(503,1)}
       367:{1,3,4}:{(308,1),(310,1),(422,1)}
       368:{1,2,4,5}:{(308,1),(311,1),(421,1),(422,1),(423,1),(504,1)}
       369:{2,3,4,6}:{(310,1),(316,1),(420,1),(424,1),(426,1),(429,1),(509,1),(511,1)}
       370:{1,3,5,6}:{(309,1),(312,1),(318,1),(427,1),(428,1)}
       371:{2,3,5,7}:{(309,1),(313,1),(319,1),(425,1),(428,1),(446,1)}
       372:{2,3,5}:{(310,1),(311,1),(320,1),(422,1),(429,1)}
       373:{2,4,6}:{(311,1),(312,1),(427,1),(429,1),(430,1)}
       374:{1,3,4,7}:{(312,1),(313,1),(322,1),(428,1),(430,1),(437,1),(507,1),(544,1)}
       375:{1,3,4,7}:{(314,1),(316,1),(424,1),(431,1),(437,1)}
       376:{1,2,4,5,7}:{(314,1),(317,1),(325,1),(431,1),(432,1),(438,1),(508,1)}
       377:{2,4,6,7}:{(315,1),(319,1),(326,1),(425,1),(433,1),(510,1)}
       378:{1,3,5}:{(316,1),(317,1),(426,1)}
       379:{1,2,4,5,6}:{(317,1),(318,1),(321,1),(328,1),(333,1),(427,1),(432,1),(435,1),(436,1),(441,1),(511,1),(516,1),(545,1)}
       380:{1,4,5,7}:{(318,1),(319,1),(322,1),(329,1),(428,1),(433,1),(544,1),(552,1)}
       381:{1,3,6}:{(320,1),(321,1),(429,1),(437,1)}
       382:{1,2,4,7}:{(321,1),(322,1),(323,1),(430,1),(437,1)}
       383:{1,3,5,7}:{(324,1),(325,1),(327,1),(335,1),(438,1),(439,1),(548,1)}
       384:{1,2,5,6}:{(325,1),(432,1),(439,1),(451,1),(545,1)}
       385:{1,5,6,7}:{(326,1),(329,1),(433,1),(552,1)}
       386:{1,4,5}:{(327,1),(337,1),(441,1)}
       387:{1,3,5,6}:{(327,1),(328,1),(330,1),(338,1),(441,1),(442,1)}
       388:{1,2,5,7}:{(328,1),(329,1),(331,1),(339,1),(442,1),(548,1)}
       389:{1,3,6,7}:{(330,1),(331,1),(340,1),(437,1),(442,1),(455,1)}
       390:{1,4,6,7}:{(332,1),(334,1),(336,1),(444,1)}
       391:{3,4,5}:{(337,1),(445,1)}
       392:{3,5,6}:{(333,1),(445,1),(446,1)}
       393:{2,4,5,7}:{(333,1),(334,1),(339,1),(444,1),(446,1),(449,1)}
       394:{2,4,5,7}:{(335,1),(337,1),(360,1),(438,1),(443,1),(447,1),(449,1)}
       395:{2,3,5,6}:{(335,1),(361,1),(439,1),(447,1),(457,1),(509,1),(518,1),(524,1),(545,1)}
       396:{2,5,6,7}:{(336,1),(339,1),(444,1),(458,1),(510,1)}
       397:{2,4,6}:{(337,1),(338,1),(363,1),(441,1),(445,1),(449,1)}
       398:{2,3,5,7}:{(338,1),(339,1),(340,1),(364,1),(442,1),(446,1),(449,1)}
       399:{1,3,4,7}:{(341,1),(342,1),(346,1),(450,1),(455,1),(523,1)}
       400:{1,2,5,7}:{(341,1),(343,1),(450,1),(451,1)}
       401:{1,3,5}:{(342,1),(343,1),(348,1),(452,1)}
       402:{1,2,5,6}:{(343,1),(345,1),(349,1),(451,1),(453,1),(454,1)}
       403:{1,3,6}:{(344,1),(345,1),(351,1),(455,1)}
       404:{1,2,4,7}:{(345,1),(352,1),(454,1),(455,1),(523,1)}
       405:{2,3,5,7}:{(346,1),(348,1),(353,1),(450,1),(456,1),(457,1)}
       406:{1,3,6,7}:{(347,1),(350,1),(355,1),(458,1)}
       407:{2,4,5}:{(348,1),(356,1),(452,1),(459,1)}
       408:{2,3,5,6}:{(348,1),(349,1),(351,1),(357,1),(453,1),(457,1),(459,1),(460,1),(524,1)}
       409:{2,5,7}:{(349,1),(350,1),(352,1),(458,1)}
       410:{2,3,7}:{(351,1),(352,1),(359,1),(455,1)}
       411:{1,3,4,5,7}:{(353,1),(356,1),(360,1),(443,1),(456,1),(461,1),(463,1),(526,1)}
       412:{1,3,6}:{(353,1),(354,1),(457,1)}
       413:{1,2,4,6,7}:{(354,1),(355,1),(358,1),(362,1),(444,1),(458,1),(462,1),(465,1),(525,1)}
       414:{1,3,4,6}:{(356,1),(357,1),(363,1),(445,1),(459,1),(463,1)}
       415:{1,3,5,7}:{(357,1),(358,1),(359,1),(446,1),(460,1),(462,1),(463,1)}
       416:{1,4,6}:{(360,1),(361,1),(447,1)}
       417:{1,3,5,6,7}:{(361,1),(362,1),(364,1),(448,1),(462,1),(465,1),(526,1),(543,1),(552,1)}
       418:{1,4,7}:{(363,1),(364,1),(449,1)}
       419:{1,2,4,7}:{(365,1),(366,1),(466,1),(467,1)}
       420:{1,3,4,6}:{(366,1),(367,1),(369,1),(466,1),(468,1),(470,1),(528,1),(530,1)}
       421:{1,2,5}:{(366,1),(468,1)}
       422:{1,3,5}:{(367,1),(368,1),(372,1),(470,1)}
       423:{1,2,4,6}:{(368,1),(373,1),(469,1),(470,1),(471,1),(530,1)}
       424:{2,3,4,7}:{(369,1),(375,1),(466,1),(472,1),(477,1),(534,1)}
       425:{2,3,6,7}:{(371,1),(377,1),(473,1),(487,1)}
       426:{2,3,5}:{(369,1),(378,1),(468,1),(474,1)}
       427:{2,5,6}:{(370,1),(373,1),(476,1)}
       428:{1,3,5,7}:{(370,1),(371,1),(374,1),(380,1),(473,1),(476,1)}
       429:{2,3,6}:{(372,1),(373,1),(381,1),(470,1),(477,1)}
       430:{2,4,7}:{(373,1),(374,1),(476,1),(477,1)}
       431:{1,3,5,7}:{(375,1),(376,1),(378,1),(472,1),(479,1)}
       432:{1,2,4,6}:{(376,1),(384,1),(479,1),(483,1),(532,1)}
       433:{1,4,6,7}:{(377,1),(380,1),(385,1),(473,1)}
       434:{1,3,4,5}:{(378,1),(386,1),(391,1),(474,1),(481,1)}
       435:{1,3,5,6}:{(378,1),(379,1),(381,1),(392,1),(475,1),(479,1),(481,1),(482,1)}
       436:{1,2,4,5,7}:{(379,1),(380,1),(382,1),(388,1),(393,1),(476,1),(480,1),(482,1),(485,1),(534,1),(537,1),(551,1)}
       437:{1,3,7}:{(381,1),(382,1),(477,1)}
       438:{1,4,5,7}:{(383,1),(386,1),(394,1),(483,1),(485,1)}
       439:{1,3,5,6}:{(383,1),(384,1),(395,1),(479,1),(483,1),(492,1),(539,1)}
       440:{1,2,5,6,7}:{(384,1),(385,1),(388,1),(396,1),(480,1),(484,1),(493,1),(551,1)}
       441:{1,4,6}:{(386,1),(387,1),(397,1),(485,1)}
       442:{1,3,5,7}:{(387,1),(388,1),(389,1),(398,1),(485,1)}
       443:{3,4,5,7}:{(391,1),(394,1),(486,1),(488,1),(538,1)}
       444:{2,4,6,7}:{(390,1),(393,1),(396,1),(487,1)}
       445:{3,4,6}:{(391,1),(392,1),(397,1),(488,1)}
       446:{3,5,7}:{(392,1),(393,1),(487,1),(488,1)}
       447:{2,4,6}:{(394,1),(395,1),(416,1),(483,1),(486,1)}
       448:{2,3,5,6,7}:{(395,1),(396,1),(398,1),(417,1),(484,1),(487,1),(490,1),(497,1),(533,1),(538,1),(541,1),(551,1)}
       449:{2,4,7}:{(397,1),(398,1),(418,1),(485,1),(488,1)}
       450:{1,3,5,7}:{(399,1),(400,1),(401,1),(405,1),(491,1),(492,1)}
       451:{1,2,6}:{(400,1),(492,1)}
       452:{1,4,5}:{(401,1),(407,1),(494,1)}
       453:{1,3,5,6}:{(401,1),(402,1),(403,1),(408,1),(492,1),(494,1),(495,1),(539,1)}
       454:{1,2,5,7}:{(402,1),(404,1),(409,1),(493,1),(495,1)}
       455:{1,3,7}:{(403,1),(404,1),(410,1)}
       456:{2,4,5,7}:{(405,1),(407,1),(411,1),(491,1),(496,1),(498,1),(541,1)}
       457:{2,3,6}:{(405,1),(412,1),(492,1),(496,1)}
       458:{2,6,7}:{(406,1),(409,1)}
       459:{2,4,6}:{(407,1),(408,1),(414,1),(494,1),(498,1)}
       460:{2,3,5,7}:{(408,1),(409,1),(410,1),(415,1),(495,1),(497,1),(498,1),(541,1)}
       461:{1,3,4,6}:{(411,1),(412,1),(416,1),(486,1),(496,1),(499,1)}
       462:{1,3,6,7}:{(412,1),(413,1),(415,1),(487,1),(497,1)}
       463:{1,3,4,7}:{(414,1),(415,1),(418,1),(488,1),(498,1)}
       464:{1,4,5,6}:{(416,1),(489,1),(499,1),(501,1),(549,1)}
       465:{1,4,6,7}:{(416,1),(417,1),(418,1),(490,1),(501,1)}
       466:{1,3,4,7}:{(419,1),(420,1),(424,1),(502,1),(507,1),(544,1)}
       467:{1,2,5,7}:{(419,1),(421,1),(502,1),(503,1)}
       468:{1,3,5}:{(420,1),(421,1),(426,1),(504,1)}
       469:{1,2,5,6}:{(421,1),(423,1),(427,1),(503,1),(505,1),(506,1)}
       470:{1,3,6}:{(422,1),(423,1),(429,1),(507,1)}
       471:{1,2,4,7}:{(423,1),(430,1),(506,1),(507,1),(544,1)}
       472:{2,3,5,7}:{(424,1),(426,1),(431,1),(502,1),(508,1),(509,1)}
       473:{1,3,6,7}:{(425,1),(428,1),(433,1),(510,1)}
       474:{2,4,5}:{(426,1),(434,1),(504,1),(511,1)}
       475:{2,3,5,6}:{(426,1),(427,1),(429,1),(435,1),(505,1),(509,1),(511,1),(512,1),(545,1)}
       476:{2,5,7}:{(427,1),(428,1),(430,1),(510,1)}
       477:{2,3,7}:{(429,1),(430,1),(437,1),(507,1)}
       478:{1,3,4,5,7}:{(431,1),(434,1),(438,1),(443,1),(508,1),(513,1),(515,1),(547,1)}
       479:{1,3,6}:{(431,1),(432,1),(509,1)}
       480:{1,2,4,6,7}:{(432,1),(433,1),(436,1),(440,1),(444,1),(510,1),(514,1),(517,1),(546,1)}
       481:{1,3,4,6}:{(434,1),(435,1),(441,1),(445,1),(511,1),(515,1)}
       482:{1,3,5,7}:{(435,1),(436,1),(437,1),(446,1),(512,1),(514,1),(515,1)}
       483:{1,4,6}:{(438,1),(439,1),(447,1)}
       484:{1,3,5,6,7}:{(439,1),(440,1),(442,1),(448,1),(514,1),(517,1),(522,1),(547,1),(548,1)}
       485:{1,4,7}:{(441,1),(442,1),(449,1)}
       486:{3,4,6}:{(443,1),(447,1),(518,1)}
       487:{3,6,7}:{(444,1),(446,1)}
       488:{3,4,7}:{(445,1),(446,1),(449,1)}
       489:{2,4,5,6}:{(447,1),(464,1),(516,1),(518,1),(520,1),(524,1),(545,1)}
       490:{2,4,6,7}:{(447,1),(448,1),(449,1),(465,1),(517,1),(519,1),(520,1)}
       491:{1,4,5,7}:{(450,1),(452,1),(456,1),(521,1),(523,1),(548,1)}
       492:{1,3,6}:{(450,1),(451,1),(457,1),(521,1)}
       493:{1,2,6,7}:{(451,1),(454,1),(458,1),(522,1)}
       494:{1,4,6}:{(452,1),(453,1),(459,1),(523,1)}
       495:{1,3,5,7}:{(453,1),(454,1),(455,1),(460,1),(522,1),(523,1),(548,1)}
       496:{2,4,6}:{(456,1),(457,1),(461,1),(521,1),(524,1)}
       497:{2,3,6,7}:{(457,1),(458,1),(460,1),(462,1),(522,1),(525,1)}
       498:{2,4,7}:{(459,1),(460,1),(463,1),(523,1)}
       499:{1,3,5,6}:{(461,1),(464,1),(518,1),(524,1),(526,1)}
       500:{1,3,4,6,7}:{(461,1),(462,1),(463,1),(465,1),(519,1),(525,1),(526,1)}
       501:{1,4,5,7}:{(464,1),(465,1),(520,1),(526,1),(552,1)}
       502:{1,3,5,7}:{(466,1),(467,1),(468,1),(472,1),(527,1),(528,1)}
       503:{1,2,6}:{(467,1),(528,1)}
       504:{1,4,5}:{(468,1),(474,1),(530,1)}
       505:{1,3,5,6}:{(468,1),(469,1),(470,1),(475,1),(528,1),(530,1),(531,1),(549,1)}
       506:{1,2,5,7}:{(469,1),(471,1),(476,1),(529,1),(531,1)}
       507:{1,3,7}:{(470,1),(471,1),(477,1)}
       508:{2,4,5,7}:{(472,1),(474,1),(478,1),(527,1),(532,1),(534,1),(551,1)}
       509:{2,3,6}:{(472,1),(479,1),(528,1),(532,1)}
       510:{2,6,7}:{(473,1),(476,1)}
       511:{2,4,6}:{(474,1),(475,1),(481,1),(530,1),(534,1)}
       512:{2,3,5,7}:{(475,1),(476,1),(477,1),(482,1),(531,1),(533,1),(534,1),(551,1)}
       513:{1,3,4,6}:{(478,1),(479,1),(483,1),(486,1),(532,1),(535,1)}
       514:{1,3,6,7}:{(479,1),(480,1),(482,1),(487,1),(533,1)}
       515:{1,3,4,7}:{(481,1),(482,1),(485,1),(488,1),(534,1)}
       516:{1,4,5,6}:{(483,1),(489,1),(535,1),(537,1),(539,1)}
       517:{1,4,6,7}:{(483,1),(484,1),(485,1),(490,1),(537,1)}
       518:{3,5,6}:{(486,1),(489,1),(538,1)}
       519:{3,4,6,7}:{(486,1),(487,1),(488,1),(490,1),(538,1)}
       520:{2,4,5,7}:{(489,1),(490,1),(501,1),(537,1),(538,1),(541,1),(551,1)}
       521:{1,4,6}:{(491,1),(492,1),(496,1),(539,1)}
       522:{1,3,6,7}:{(492,1),(493,1),(495,1),(497,1),(540,1)}
       523:{1,4,7}:{(494,1),(495,1),(498,1)}
       524:{2,5,6}:{(496,1),(499,1),(539,1),(541,1)}
       525:{2,4,6,7}:{(496,1),(497,1),(498,1),(500,1),(540,1),(541,1)}
       526:{1,3,5,7}:{(499,1),(500,1),(501,1),(538,1),(541,1)}
       527:{1,4,5,7}:{(502,1),(504,1),(508,1),(542,1),(544,1),(552,1)}
       528:{1,3,6}:{(502,1),(503,1),(509,1),(542,1)}
       529:{1,2,6,7}:{(503,1),(506,1),(510,1),(543,1)}
       530:{1,4,6}:{(504,1),(505,1),(511,1),(544,1)}
       531:{1,3,5,7}:{(505,1),(506,1),(507,1),(512,1),(543,1),(544,1),(552,1)}
       532:{2,4,6}:{(508,1),(509,1),(513,1),(542,1),(545,1)}
       533:{2,3,6,7}:{(509,1),(510,1),(512,1),(514,1),(543,1),(546,1)}
       534:{2,4,7}:{(511,1),(512,1),(515,1),(544,1)}
       535:{1,3,5,6}:{(513,1),(516,1),(518,1),(545,1),(547,1)}
       536:{1,3,4,6,7}:{(513,1),(514,1),(515,1),(517,1),(519,1),(546,1),(547,1)}
       537:{1,4,5,7}:{(516,1),(517,1),(520,1),(547,1),(548,1)}
       538:{3,5,7}:{(518,1),(519,1),(520,1)}
       539:{1,5,6}:{(521,1),(524,1),(548,1)}
       540:{1,4,6,7}:{(521,1),(522,1),(523,1),(525,1),(548,1)}
       541:{2,5,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(532,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(533,1),(550,1)}
       544:{1,4,7}:{(530,1),(531,1),(534,1)}
       545:{2,5,6}:{(532,1),(535,1),(549,1),(551,1)}
       546:{2,4,6,7}:{(532,1),(533,1),(534,1),(536,1),(550,1),(551,1)}
       547:{1,3,5,7}:{(535,1),(536,1),(537,1),(538,1),(551,1)}
       548:{1,5,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(545,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(544,1),(546,1),(552,1)}
       551:{2,5,7}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2053 :   0:{1,4,5,6,7}:{(1,1),(2,1),(36,1),(43,1),(113,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(7,1),(19,1),(24,1),(69,1),(136,1)}
         2:{1,3,5,6,7}:{(0,1),(4,1),(6,1),(7,1),(150,1)}
         3:{1,4,5,6,7}:{(1,1),(8,1),(16,1),(43,1),(164,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(99,1),(177,1)}
         5:{1,3,4,5,6}:{(9,1),(13,1),(14,1),(39,1),(48,1),(93,1),(109,1),(192,1)}
         6:{1,3,4,6,7}:{(2,1),(11,1),(13,1),(15,1),(43,1),(51,1),(99,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(16,1),(191,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(18,1),(19,1),(206,1)}
         9:{3,4,5,6}:{(20,1),(21,1),(219,1),(276,1)}
        10:{2,3,4,5,7}:{(22,1),(23,1),(26,1),(54,1),(61,1),(71,1),(114,1),(129,1),(213,1),(228,1),(272,1),(277,1),(278,1),(308,1)}
        11:{3,4,6,7}:{(4,1),(20,1),(24,1)}
        12:{2,3,5,6,7}:{(4,1),(7,1),(19,1),(24,1),(25,1),(30,1),(58,1),(61,1)}
        13:{1,3,4,5,7}:{(5,1),(6,1),(20,1),(28,1),(63,1),(74,1),(127,1),(146,1),(150,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(75,1),(145,1),(231,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(28,1),(30,1),(31,1),(78,1)}
        16:{1,5,6,7}:{(7,1),(31,1),(230,1)}
        17:{1,3,4,5,6}:{(9,1),(33,1),(34,1),(39,1),(84,1),(93,1),(160,1),(245,1)}
        18:{1,3,4,6,7}:{(8,1),(11,1),(33,1),(35,1),(43,1),(87,1),(99,1)}
        19:{2,5,6,7}:{(8,1),(35,1),(36,1),(244,1)}
        20:{3,4,5,7}:{(9,1),(11,1),(38,1),(177,1),(296,1)}
        21:{2,4,5,6}:{(9,1),(37,1),(38,1),(39,1),(247,1)}
        22:{2,3,4,6}:{(10,1),(37,1),(41,1),(171,1),(247,1),(251,1),(262,1),(294,1),(313,1)}
        23:{1,3,4,5,7}:{(10,1),(41,1),(42,1),(46,1),(82,1),(90,1),(95,1),(102,1),(153,1),(169,1),(170,1),(248,1),(249,1),(261,1),(293,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(38,1),(43,1)}
        25:{1,3,5,6,7}:{(12,1),(16,1),(36,1),(43,1),(44,1),(51,1),(87,1),(90,1),(99,1)}
        26:{2,3,4,5}:{(45,1),(46,1),(170,1),(179,1),(188,1)}
        27:{2,3,5,6}:{(14,1),(45,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(47,1),(49,1),(106,1),(187,1),(191,1)}
        29:{1,4,5,6}:{(14,1),(48,1),(49,1),(186,1),(263,1)}
        30:{2,3,6,7}:{(15,1),(47,1),(51,1),(99,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(49,1),(51,1)}
        32:{1,2,5,6,7}:{(16,1),(44,1),(52,1),(53,1),(161,1),(165,1),(191,1),(263,1),(300,1)}
        33:{1,3,4,5,7}:{(17,1),(18,1),(20,1),(56,1),(63,1),(117,1),(127,1),(202,1),(206,1)}
        34:{2,4,5,6}:{(17,1),(55,1),(56,1),(57,1),(118,1),(201,1),(275,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(56,1),(58,1),(59,1),(121,1)}
        36:{1,5,6,7}:{(19,1),(59,1),(274,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(61,1),(62,1),(219,1),(231,1),(275,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(61,1),(63,1),(277,1)}
        39:{1,4,5,6}:{(21,1),(62,1),(63,1),(64,1),(210,1)}
        40:{2,3,4,6,7}:{(22,1),(24,1),(30,1),(58,1),(61,1),(66,1),(71,1),(114,1),(135,1),(149,1),(205,1),(214,1),(277,1)}
        41:{1,3,4,6}:{(22,1),(23,1),(62,1),(67,1),(128,1),(131,1),(210,1),(287,1),(307,1)}
        42:{2,4,5,7}:{(23,1),(67,1),(68,1),(73,1),(116,1),(125,1),(139,1),(195,1),(211,1),(212,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(63,1),(69,1)}
        44:{2,5,6,7}:{(25,1),(69,1),(78,1),(121,1),(125,1)}
        45:{2,3,4,6}:{(26,1),(27,1),(71,1),(72,1),(128,1),(145,1),(220,1)}
        46:{1,3,4,5}:{(26,1),(72,1),(73,1),(138,1),(227,1)}
        47:{2,3,5,7}:{(27,1),(28,1),(30,1),(71,1),(74,1),(127,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(72,1),(74,1),(75,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(74,1),(226,1),(230,1)}
        50:{1,2,4,5,6}:{(29,1),(64,1),(75,1),(76,1),(77,1),(124,1),(137,1),(145,1),(151,1),(210,1),(227,1),(231,1),(278,1),(284,1),(287,1),(309,1),(310,1)}
        51:{1,3,6,7}:{(30,1),(31,1),(74,1),(78,1)}
        52:{1,2,4,6,7}:{(31,1),(32,1),(69,1),(76,1),(78,1),(79,1),(80,1),(149,1),(287,1),(309,1),(310,1)}
        53:{1,3,5,6,7}:{(32,1),(70,1),(79,1),(80,1),(150,1),(204,1),(209,1),(274,1),(282,1)}
        54:{2,3,4,5}:{(81,1),(82,1),(170,1),(232,1),(241,1)}
        55:{2,3,5,6}:{(34,1),(81,1),(83,1),(84,1),(93,1)}
        56:{2,4,5,7}:{(33,1),(34,1),(35,1),(83,1),(85,1),(157,1),(240,1),(244,1)}
        57:{1,4,5,6}:{(34,1),(84,1),(85,1),(239,1),(295,1)}
        58:{2,3,6,7}:{(35,1),(83,1),(87,1),(99,1)}
        59:{1,4,6,7}:{(35,1),(36,1),(85,1),(87,1)}
        60:{1,2,5,6,7}:{(36,1),(44,1),(88,1),(89,1),(110,1),(165,1),(244,1),(295,1),(300,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(40,1),(90,1),(177,1),(191,1),(244,1)}
        62:{1,3,5,6}:{(37,1),(39,1),(41,1),(90,1),(91,1),(93,1),(263,1),(295,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(43,1),(90,1),(92,1),(248,1)}
        64:{2,4,5,6}:{(39,1),(91,1),(92,1),(93,1),(168,1)}
        65:{1,2,4,5,7}:{(42,1),(94,1),(95,1),(101,1),(152,1),(165,1),(172,1),(180,1),(233,1),(248,1),(249,1),(253,1),(261,1),(293,1),(298,1),(301,1),(311,1)}
        66:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(51,1),(87,1),(90,1),(96,1),(99,1),(102,1),(153,1),(169,1),(173,1),(190,1),(243,1),(248,1)}
        67:{2,4,6}:{(41,1),(42,1),(91,1),(97,1)}
        68:{2,3,5,7}:{(42,1),(95,1),(97,1),(98,1),(104,1),(155,1),(176,1),(183,1),(236,1)}
        69:{2,4,6,7}:{(43,1),(44,1),(92,1),(99,1)}
        70:{2,3,5,6,7}:{(44,1),(53,1),(89,1),(99,1),(100,1),(111,1),(162,1),(167,1),(177,1),(191,1),(244,1),(246,1),(255,1),(300,1),(313,1)}
        71:{2,3,4,7}:{(45,1),(47,1),(102,1),(169,1),(187,1),(256,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(48,1),(102,1),(103,1),(181,1),(186,1)}
        73:{2,4,5}:{(46,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(47,1),(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{2,5,6}:{(48,1),(103,1),(106,1)}
        76:{1,2,4,5,7}:{(49,1),(50,1),(52,1),(92,1),(106,1),(108,1),(113,1),(165,1),(180,1),(187,1),(191,1),(248,1),(261,1),(298,1),(301,1)}
        77:{1,3,5,6}:{(50,1),(93,1),(107,1),(108,1),(109,1),(181,1),(259,1),(297,1),(302,1),(313,1)}
        78:{2,6,7}:{(51,1),(106,1)}
        79:{1,3,6,7}:{(52,1),(99,1),(108,1),(111,1),(302,1),(313,1)}
        80:{1,4,6,7}:{(53,1),(100,1),(113,1),(248,1),(299,1)}
        81:{2,3,4,6}:{(54,1),(55,1),(114,1),(115,1),(128,1),(201,1),(264,1)}
        82:{1,3,4,5}:{(54,1),(115,1),(116,1),(194,1),(271,1)}
        83:{2,3,5,7}:{(55,1),(56,1),(58,1),(114,1),(117,1),(127,1)}
        84:{1,3,5,6}:{(55,1),(57,1),(115,1),(117,1),(118,1)}
        85:{1,4,5,7}:{(56,1),(57,1),(59,1),(117,1),(270,1),(274,1)}
        86:{1,2,4,5,6}:{(57,1),(64,1),(118,1),(119,1),(120,1),(124,1),(193,1),(201,1),(207,1),(210,1),(271,1),(275,1),(278,1),(304,1),(307,1),(309,1),(314,1)}
        87:{1,3,6,7}:{(58,1),(59,1),(117,1),(121,1)}
        88:{1,2,4,6,7}:{(59,1),(60,1),(69,1),(119,1),(121,1),(122,1),(123,1),(205,1),(307,1),(309,1),(314,1)}
        89:{1,3,5,6,7}:{(60,1),(70,1),(122,1),(123,1),(148,1),(206,1),(209,1),(230,1),(282,1)}
        90:{1,3,5,7}:{(61,1),(62,1),(63,1),(66,1),(125,1),(127,1),(230,1),(274,1)}
        91:{2,5,6}:{(62,1),(67,1),(125,1)}
        92:{2,4,5,7}:{(63,1),(64,1),(69,1),(125,1),(127,1),(211,1)}
        93:{3,5,6}:{(64,1),(127,1),(128,1)}
        94:{1,2,4,6}:{(65,1),(67,1),(124,1),(131,1),(210,1),(215,1),(287,1),(307,1),(309,1),(310,1),(314,1)}
        95:{1,3,5,7}:{(65,1),(68,1),(129,1),(131,1),(132,1),(138,1),(194,1),(217,1),(222,1),(266,1),(308,1)}
        96:{2,4,6,7}:{(66,1),(67,1),(78,1),(121,1),(125,1),(133,1),(139,1),(195,1),(211,1)}
        97:{2,3,6}:{(67,1),(68,1),(131,1)}
        98:{2,3,4,7}:{(68,1),(132,1),(134,1),(141,1),(197,1),(211,1)}
        99:{3,6,7}:{(69,1),(127,1)}
       100:{2,4,6,7}:{(70,1),(80,1),(123,1),(135,1),(136,1),(211,1),(277,1),(280,1),(309,1)}
       101:{1,2,4,5}:{(73,1),(137,1),(138,1),(221,1),(227,1),(284,1)}
       102:{1,3,4,7}:{(71,1),(72,1),(74,1),(139,1),(222,1),(226,1)}
       103:{2,4,6}:{(72,1),(73,1),(75,1),(139,1),(140,1)}
       104:{2,3,5}:{(73,1),(138,1),(140,1),(141,1)}
       105:{1,2,5,6}:{(75,1),(137,1),(142,1),(143,1),(284,1),(310,1)}
       106:{2,5,7}:{(74,1),(75,1),(78,1),(139,1)}
       107:{2,3,5,6}:{(75,1),(77,1),(140,1),(143,1),(144,1),(145,1),(220,1),(225,1),(231,1),(284,1),(286,1),(310,1)}
       108:{1,3,5,7}:{(76,1),(77,1),(79,1),(127,1),(144,1),(146,1),(222,1),(308,1)}
       109:{1,3,4,6}:{(77,1),(128,1),(145,1),(146,1),(147,1),(210,1),(276,1)}
       110:{1,2,6,7}:{(78,1),(142,1),(148,1),(310,1)}
       111:{2,3,6,7}:{(78,1),(79,1),(144,1),(148,1),(149,1),(286,1),(310,1)}
       112:{1,3,4,6,7}:{(79,1),(80,1),(135,1),(146,1),(149,1),(150,1),(229,1)}
       113:{1,4,5,7}:{(80,1),(136,1),(150,1),(151,1),(274,1)}
       114:{2,3,4,7}:{(81,1),(83,1),(153,1),(169,1),(240,1),(288,1)}
       115:{1,3,4,6}:{(81,1),(82,1),(84,1),(153,1),(154,1),(234,1),(239,1)}
       116:{2,4,5}:{(82,1),(154,1),(155,1)}
       117:{1,3,5,7}:{(83,1),(84,1),(85,1),(87,1),(153,1),(157,1)}
       118:{2,5,6}:{(84,1),(154,1),(157,1)}
       119:{1,2,4,5,7}:{(85,1),(86,1),(88,1),(92,1),(157,1),(159,1),(164,1),(165,1),(233,1),(240,1),(244,1),(248,1),(293,1),(298,1),(311,1)}
       120:{1,3,5,6}:{(86,1),(93,1),(158,1),(159,1),(160,1),(234,1),(291,1),(297,1),(312,1),(313,1)}
       121:{2,6,7}:{(87,1),(157,1)}
       122:{1,3,6,7}:{(88,1),(99,1),(159,1),(162,1),(312,1),(313,1)}
       123:{1,4,6,7}:{(89,1),(100,1),(164,1),(248,1),(299,1)}
       124:{1,2,5,6}:{(91,1),(94,1),(165,1),(166,1),(253,1),(263,1),(295,1),(300,1)}
       125:{2,5,7}:{(90,1),(91,1),(96,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(97,1),(166,1),(167,1),(168,1),(176,1)}
       127:{3,5,7}:{(92,1),(93,1),(99,1),(169,1)}
       128:{3,4,6}:{(93,1),(168,1),(169,1),(170,1)}
       129:{2,3,5,7}:{(95,1),(171,1),(172,1),(179,1),(232,1),(253,1),(256,1),(288,1),(301,1),(311,1)}
       130:{1,2,4,6,7}:{(94,1),(96,1),(110,1),(161,1),(165,1),(173,1),(180,1),(190,1),(233,1),(243,1),(248,1),(252,1)}
       131:{1,3,6}:{(94,1),(95,1),(97,1),(171,1),(313,1)}
       132:{1,3,4,7}:{(95,1),(98,1),(172,1),(174,1),(182,1),(235,1),(248,1),(296,1)}
       133:{2,3,6,7}:{(96,1),(97,1),(99,1),(167,1),(173,1),(183,1),(236,1)}
       134:{2,3,4,6}:{(97,1),(98,1),(168,1),(174,1),(176,1)}
       135:{3,4,6,7}:{(99,1),(100,1),(169,1),(177,1),(251,1),(296,1),(313,1)}
       136:{2,4,5,7}:{(100,1),(113,1),(164,1),(177,1),(178,1),(191,1),(244,1)}
       137:{1,2,4,6}:{(101,1),(103,1),(105,1),(180,1),(181,1),(186,1),(257,1)}
       138:{1,3,5}:{(101,1),(104,1),(179,1),(181,1),(182,1)}
       139:{2,4,7}:{(102,1),(103,1),(106,1),(183,1)}
       140:{2,3,6}:{(103,1),(104,1),(181,1),(183,1)}
       141:{2,3,4}:{(104,1),(182,1)}
       142:{1,2,5,7}:{(105,1),(106,1),(110,1),(180,1),(185,1),(301,1)}
       143:{1,3,5,6}:{(105,1),(107,1),(181,1),(185,1),(186,1),(259,1),(263,1),(302,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(108,1),(111,1),(183,1),(185,1),(187,1),(191,1),(256,1),(301,1)}
       145:{2,4,6}:{(107,1),(109,1),(186,1),(187,1),(188,1)}
       146:{1,3,4,7}:{(108,1),(109,1),(169,1),(187,1),(248,1),(296,1)}
       147:{1,3,4,5}:{(109,1),(170,1),(188,1),(249,1),(259,1),(297,1)}
       148:{1,3,6,7}:{(110,1),(111,1),(185,1),(190,1),(302,1)}
       149:{2,4,6,7}:{(111,1),(112,1),(187,1),(190,1),(191,1),(262,1)}
       150:{1,3,5,7}:{(112,1),(113,1),(177,1),(191,1),(192,1)}
       151:{1,4,5,6}:{(113,1),(178,1),(192,1),(295,1),(299,1)}
       152:{1,2,4,5}:{(116,1),(193,1),(194,1),(265,1),(271,1),(304,1)}
       153:{1,3,4,7}:{(114,1),(115,1),(117,1),(195,1),(266,1),(270,1)}
       154:{2,4,6}:{(115,1),(116,1),(118,1),(195,1),(196,1)}
       155:{2,3,5}:{(116,1),(194,1),(196,1),(197,1)}
       156:{1,2,5,6}:{(118,1),(193,1),(198,1),(199,1),(304,1),(314,1)}
       157:{2,5,7}:{(117,1),(118,1),(121,1),(195,1)}
       158:{2,3,5,6}:{(118,1),(120,1),(196,1),(199,1),(200,1),(201,1),(264,1),(269,1),(275,1),(304,1),(306,1),(314,1)}
       159:{1,3,5,7}:{(119,1),(120,1),(122,1),(127,1),(200,1),(202,1),(266,1),(308,1)}
       160:{1,3,4,6}:{(120,1),(128,1),(201,1),(202,1),(203,1),(210,1),(276,1)}
       161:{1,2,6,7}:{(121,1),(198,1),(204,1),(314,1)}
       162:{2,3,6,7}:{(121,1),(122,1),(200,1),(204,1),(205,1),(306,1),(314,1)}
       163:{1,3,4,6,7}:{(122,1),(123,1),(135,1),(202,1),(205,1),(206,1),(273,1)}
       164:{1,4,5,7}:{(123,1),(136,1),(206,1),(207,1),(230,1)}
       165:{1,2,5,7}:{(124,1),(125,1),(130,1),(209,1),(230,1),(274,1),(281,1)}
       166:{1,3,5,6}:{(124,1),(126,1),(131,1),(208,1),(209,1),(210,1),(217,1)}
       167:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(209,1),(211,1)}
       168:{2,4,6}:{(126,1),(128,1),(210,1),(211,1),(212,1)}
       169:{3,4,7}:{(127,1),(128,1),(211,1)}
       170:{3,4,5}:{(128,1),(212,1)}
       171:{2,3,6}:{(129,1),(131,1),(215,1),(310,1),(314,1)}
       172:{2,4,7}:{(129,1),(132,1),(215,1),(221,1),(265,1)}
       173:{1,3,6,7}:{(130,1),(131,1),(133,1),(209,1),(214,1),(222,1),(266,1)}
       174:{1,3,4,6}:{(131,1),(132,1),(134,1),(210,1),(215,1),(217,1),(276,1)}
       175:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(149,1),(205,1),(211,1),(216,1),(218,1),(224,1),(268,1),(280,1),(286,1),(306,1)}
       176:{2,3,5}:{(134,1),(212,1),(217,1)}
       177:{3,5,7}:{(135,1),(136,1),(219,1)}
       178:{2,4,5,6}:{(136,1),(151,1),(207,1),(219,1),(231,1),(275,1),(280,1),(309,1)}
       179:{2,3,5}:{(138,1),(220,1),(221,1),(284,1)}
       180:{1,2,4,7}:{(137,1),(139,1),(142,1),(222,1),(226,1),(283,1)}
       181:{1,3,6}:{(137,1),(138,1),(140,1),(220,1),(222,1)}
       182:{1,3,4}:{(138,1),(141,1),(221,1)}
       183:{2,3,7}:{(139,1),(140,1),(222,1)}
       184:{2,3,4,6}:{(140,1),(141,1),(145,1),(223,1),(224,1),(225,1),(276,1),(286,1)}
       185:{1,3,5,7}:{(142,1),(143,1),(144,1),(148,1),(222,1),(226,1),(230,1)}
       186:{1,4,6}:{(143,1),(145,1),(226,1),(227,1)}
       187:{2,4,7}:{(144,1),(145,1),(146,1),(226,1)}
       188:{2,4,5}:{(145,1),(147,1),(225,1),(227,1),(284,1)}
       189:{1,3,4,5,7}:{(146,1),(147,1),(150,1),(213,1),(228,1),(229,1),(279,1),(285,1),(308,1)}
       190:{1,4,6,7}:{(148,1),(149,1),(226,1),(230,1),(287,1)}
       191:{2,5,7}:{(149,1),(150,1),(230,1),(231,1)}
       192:{1,3,5,6}:{(150,1),(151,1),(219,1),(229,1),(231,1)}
       193:{1,2,4,6}:{(152,1),(154,1),(156,1),(233,1),(234,1),(239,1),(289,1)}
       194:{1,3,5}:{(152,1),(155,1),(232,1),(234,1),(235,1)}
       195:{2,4,7}:{(153,1),(154,1),(157,1),(236,1)}
       196:{2,3,6}:{(154,1),(155,1),(234,1),(236,1)}
       197:{2,3,4}:{(155,1),(235,1)}
       198:{1,2,5,7}:{(156,1),(157,1),(161,1),(233,1),(238,1),(311,1)}
       199:{1,3,5,6}:{(156,1),(158,1),(234,1),(238,1),(239,1),(291,1),(295,1),(312,1)}
       200:{2,3,5,7}:{(157,1),(158,1),(159,1),(162,1),(236,1),(238,1),(240,1),(244,1),(288,1),(311,1)}
       201:{2,4,6}:{(158,1),(160,1),(239,1),(240,1),(241,1)}
       202:{1,3,4,7}:{(159,1),(160,1),(169,1),(240,1),(248,1),(296,1)}
       203:{1,3,4,5}:{(160,1),(170,1),(241,1),(249,1),(291,1),(297,1)}
       204:{1,3,6,7}:{(161,1),(162,1),(238,1),(243,1),(312,1)}
       205:{2,4,6,7}:{(162,1),(163,1),(240,1),(243,1),(244,1),(294,1)}
       206:{1,3,5,7}:{(163,1),(164,1),(177,1),(244,1),(245,1)}
       207:{1,4,5,6}:{(164,1),(178,1),(245,1),(263,1),(299,1)}
       208:{2,3,5,6}:{(166,1),(171,1),(246,1),(247,1),(253,1),(297,1),(300,1),(313,1)}
       209:{1,3,5,7}:{(165,1),(166,1),(167,1),(173,1),(246,1),(248,1)}
       210:{1,4,6}:{(166,1),(168,1),(247,1),(248,1),(249,1)}
       211:{2,4,7}:{(167,1),(168,1),(169,1),(248,1)}
       212:{2,4,5}:{(168,1),(170,1),(176,1),(249,1)}
       213:{3,4,5,7}:{(169,1),(170,1),(177,1),(250,1),(251,1)}
       214:{2,3,6,7}:{(171,1),(173,1),(246,1),(252,1),(256,1),(288,1),(313,1)}
       215:{2,4,6}:{(171,1),(172,1),(174,1),(253,1)}
       216:{1,3,4,6,7}:{(173,1),(174,1),(175,1),(190,1),(243,1),(248,1),(252,1),(254,1),(258,1),(290,1),(296,1),(299,1),(302,1),(312,1),(313,1)}
       217:{1,3,5}:{(174,1),(176,1),(249,1),(253,1),(297,1)}
       218:{2,3,5,7}:{(175,1),(176,1),(177,1),(191,1),(244,1),(250,1),(254,1),(255,1)}
       219:{3,5,6}:{(177,1),(178,1),(251,1),(313,1)}
       220:{2,3,6}:{(179,1),(181,1),(256,1),(257,1)}
       221:{2,4}:{(179,1),(182,1)}
       222:{1,3,7}:{(180,1),(181,1),(183,1),(256,1)}
       223:{1,3,4,6}:{(181,1),(182,1),(184,1),(186,1),(257,1),(258,1),(259,1),(302,1)}
       224:{2,3,4,7}:{(183,1),(184,1),(187,1),(258,1),(260,1),(296,1)}
       225:{2,3,5}:{(184,1),(188,1),(259,1),(297,1)}
       226:{1,4,7}:{(185,1),(186,1),(187,1)}
       227:{1,4,5}:{(186,1),(188,1),(259,1)}
       228:{2,4,5,7}:{(187,1),(188,1),(189,1),(191,1),(260,1),(261,1),(262,1),(301,1)}
       229:{1,3,4,6}:{(189,1),(192,1),(251,1),(262,1),(299,1),(302,1),(313,1)}
       230:{1,5,7}:{(190,1),(191,1),(263,1)}
       231:{2,5,6}:{(191,1),(192,1),(262,1),(263,1)}
       232:{2,3,5}:{(194,1),(264,1),(265,1),(304,1)}
       233:{1,2,4,7}:{(193,1),(195,1),(198,1),(266,1),(270,1),(303,1)}
       234:{1,3,6}:{(193,1),(194,1),(196,1),(264,1),(266,1)}
       235:{1,3,4}:{(194,1),(197,1),(265,1)}
       236:{2,3,7}:{(195,1),(196,1),(266,1)}
       237:{2,3,4,6}:{(196,1),(197,1),(201,1),(267,1),(268,1),(269,1),(276,1),(306,1)}
       238:{1,3,5,7}:{(198,1),(199,1),(200,1),(204,1),(266,1),(270,1),(274,1)}
       239:{1,4,6}:{(199,1),(201,1),(270,1),(271,1)}
       240:{2,4,7}:{(200,1),(201,1),(202,1),(270,1)}
       241:{2,4,5}:{(201,1),(203,1),(269,1),(271,1),(304,1)}
       242:{1,3,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(272,1),(273,1),(279,1),(305,1),(308,1)}
       243:{1,4,6,7}:{(204,1),(205,1),(270,1),(274,1),(307,1)}
       244:{2,5,7}:{(205,1),(206,1),(274,1),(275,1)}
       245:{1,3,5,6}:{(206,1),(207,1),(219,1),(273,1),(275,1)}
       246:{2,3,5,7}:{(208,1),(209,1),(214,1),(277,1),(281,1),(308,1)}
       247:{2,4,6}:{(208,1),(210,1),(276,1),(277,1),(278,1)}
       248:{1,4,7}:{(209,1),(210,1),(211,1),(277,1)}
       249:{1,4,5}:{(210,1),(212,1),(217,1),(278,1)}
       250:{2,4,5,7}:{(211,1),(212,1),(213,1),(218,1),(279,1),(280,1)}
       251:{3,4,6}:{(213,1),(219,1),(280,1)}
       252:{2,4,6,7}:{(214,1),(215,1),(216,1),(277,1),(281,1),(283,1),(303,1),(309,1),(310,1),(314,1)}
       253:{2,5}:{(215,1),(217,1)}
       254:{1,3,5,7}:{(216,1),(217,1),(218,1),(230,1),(274,1),(279,1),(281,1),(282,1),(308,1)}
       255:{2,3,5,6}:{(218,1),(219,1),(231,1),(275,1),(280,1),(282,1),(286,1),(306,1)}
       256:{2,3,7}:{(220,1),(222,1),(283,1)}
       257:{2,4,6}:{(220,1),(221,1),(223,1),(283,1),(284,1),(310,1)}
       258:{1,3,4,7}:{(222,1),(223,1),(224,1),(226,1),(283,1),(285,1)}
       259:{1,3,5}:{(223,1),(225,1),(227,1),(284,1)}
       260:{2,3,5,7}:{(224,1),(225,1),(228,1),(285,1),(286,1),(308,1)}
       261:{1,4,5,7}:{(226,1),(227,1),(228,1),(230,1),(285,1),(287,1)}
       262:{2,4,6}:{(228,1),(229,1),(231,1),(286,1),(287,1),(310,1)}
       263:{1,5,6}:{(230,1),(231,1),(287,1)}
       264:{2,3,6}:{(232,1),(234,1),(288,1),(289,1)}
       265:{2,4}:{(232,1),(235,1)}
       266:{1,3,7}:{(233,1),(234,1),(236,1),(288,1)}
       267:{1,3,4,6}:{(234,1),(235,1),(237,1),(239,1),(289,1),(290,1),(291,1),(312,1)}
       268:{2,3,4,7}:{(236,1),(237,1),(240,1),(290,1),(292,1),(296,1)}
       269:{2,3,5}:{(237,1),(241,1),(291,1),(297,1)}
       270:{1,4,7}:{(238,1),(239,1),(240,1)}
       271:{1,4,5}:{(239,1),(241,1),(291,1)}
       272:{2,4,5,7}:{(240,1),(241,1),(242,1),(244,1),(292,1),(293,1),(294,1),(311,1)}
       273:{1,3,4,6}:{(242,1),(245,1),(251,1),(294,1),(299,1),(312,1),(313,1)}
       274:{1,5,7}:{(243,1),(244,1),(295,1)}
       275:{2,5,6}:{(244,1),(245,1),(294,1),(295,1)}
       276:{3,4,6}:{(247,1),(296,1),(297,1),(313,1)}
       277:{2,4,7}:{(246,1),(247,1),(248,1),(296,1)}
       278:{2,4,5}:{(247,1),(249,1),(253,1),(297,1)}
       279:{1,4,5,7}:{(248,1),(249,1),(250,1),(254,1),(298,1),(299,1)}
       280:{2,4,6}:{(250,1),(251,1),(255,1),(299,1)}
       281:{2,5,7}:{(252,1),(253,1),(254,1),(300,1)}
       282:{1,3,5,6}:{(254,1),(255,1),(263,1),(295,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
       283:{2,4,7}:{(256,1),(257,1),(258,1),(301,1)}
       284:{2,5}:{(257,1),(259,1)}
       285:{1,3,5,7}:{(258,1),(259,1),(260,1),(261,1),(301,1),(302,1)}
       286:{2,3,6}:{(260,1),(262,1),(302,1),(313,1)}
       287:{1,4,6}:{(261,1),(262,1),(263,1),(302,1)}
       288:{2,3,7}:{(264,1),(266,1),(303,1)}
       289:{2,4,6}:{(264,1),(265,1),(267,1),(303,1),(304,1),(314,1)}
       290:{1,3,4,7}:{(266,1),(267,1),(268,1),(270,1),(303,1),(305,1)}
       291:{1,3,5}:{(267,1),(269,1),(271,1),(304,1)}
       292:{2,3,5,7}:{(268,1),(269,1),(272,1),(305,1),(306,1),(308,1)}
       293:{1,4,5,7}:{(270,1),(271,1),(272,1),(274,1),(305,1),(307,1)}
       294:{2,4,6}:{(272,1),(273,1),(275,1),(306,1),(307,1),(314,1)}
       295:{1,5,6}:{(274,1),(275,1),(307,1)}
       296:{3,4,7}:{(276,1),(277,1),(308,1)}
       297:{3,5}:{(276,1),(278,1)}
       298:{2,4,5,7}:{(277,1),(278,1),(279,1),(281,1),(308,1),(309,1)}
       299:{1,4,6}:{(279,1),(280,1),(282,1),(309,1)}
       300:{2,5,6}:{(281,1),(282,1),(309,1),(310,1),(314,1)}
       301:{2,5,7}:{(283,1),(284,1),(285,1),(310,1)}
       302:{1,3,6}:{(285,1),(286,1),(287,1),(310,1)}
       303:{2,4,7}:{(288,1),(289,1),(290,1),(311,1)}
       304:{2,5}:{(289,1),(291,1)}
       305:{1,3,5,7}:{(290,1),(291,1),(292,1),(293,1),(311,1),(312,1)}
       306:{2,3,6}:{(292,1),(294,1),(312,1),(313,1)}
       307:{1,4,6}:{(293,1),(294,1),(295,1),(312,1)}
       308:{3,5,7}:{(296,1),(297,1),(298,1),(313,1)}
       309:{2,4,6}:{(298,1),(299,1),(300,1),(313,1)}
       310:{2,6}:{(301,1),(302,1)}
       311:{2,5,7}:{(303,1),(304,1),(305,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,6}:{(308,1),(309,1)}
       314:{2,6}:{(311,1),(312,1)}

2054 :   0:{1,3,4,5,6}:{(1,1),(2,1),(8,1),(35,1),(123,1),(124,1),(145,1),(186,1)}
         1:{2,4,5,6}:{(0,1),(3,1),(4,1),(5,1),(17,1),(50,1),(173,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(56,1),(101,1),(102,1),(113,1),(167,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1),(9,1),(186,1)}
         4:{1,4,5,6}:{(1,1),(8,1),(11,1),(73,1),(200,1)}
         5:{2,4,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(32,1),(77,1),(141,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(13,1),(33,1),(80,1),(81,1),(143,1)}
         7:{2,3,4,6}:{(3,1),(14,1),(15,1),(16,1),(50,1),(93,1),(213,1)}
         8:{1,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{2,3,5,7}:{(3,1),(5,1),(16,1),(18,1),(19,1),(167,1)}
        10:{1,2,4,5,6}:{(4,1),(17,1),(20,1),(21,1),(43,1),(50,1),(103,1),(152,1),(155,1),(157,1),(169,1),(173,1),(178,1),(210,1),(216,1),(255,1),(263,1)}
        11:{1,4,5,7}:{(4,1),(5,1),(18,1),(22,1),(104,1),(170,1)}
        12:{2,4,6,7}:{(5,1),(6,1),(19,1),(22,1),(23,1),(52,1)}
        13:{1,3,5,6,7}:{(6,1),(23,1),(24,1),(60,1),(113,1)}
        14:{2,3,4,5}:{(7,1),(25,1),(76,1),(116,1),(238,1)}
        15:{1,3,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(66,1),(73,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(28,1),(77,1),(126,1),(197,1)}
        17:{2,5,6}:{(8,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(11,1),(28,1),(32,1),(33,1)}
        19:{2,3,6,7}:{(9,1),(12,1),(33,1),(143,1)}
        20:{1,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(66,1),(127,1),(186,1),(191,1),(273,1),(280,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(32,1),(36,1),(37,1),(67,1),(77,1),(130,1),(134,1),(136,1),(141,1),(146,1),(188,1),(193,1),(242,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(33,1),(38,1)}
        23:{2,5,6,7}:{(12,1),(13,1),(38,1),(141,1)}
        24:{1,4,5,6,7}:{(13,1),(39,1),(80,1),(146,1),(147,1)}
        25:{1,3,4,5}:{(14,1),(15,1),(40,1),(86,1),(103,1)}
        26:{2,3,4,5,7}:{(14,1),(16,1),(41,1),(42,1),(47,1),(107,1),(149,1),(218,1),(224,1),(225,1),(255,1),(260,1),(264,1),(267,1)}
        27:{2,4,6}:{(15,1),(17,1),(40,1),(44,1),(45,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(18,1),(45,1),(95,1),(104,1)}
        29:{2,3,4,6,7}:{(16,1),(19,1),(42,1),(46,1),(47,1),(54,1),(108,1),(159,1),(175,1),(176,1),(218,1),(225,1),(229,1)}
        30:{1,2,5,6}:{(17,1),(43,1),(48,1),(49,1),(157,1),(216,1)}
        31:{2,3,5,6}:{(17,1),(20,1),(44,1),(48,1),(50,1),(51,1),(93,1),(97,1),(157,1),(164,1),(173,1),(216,1)}
        32:{2,5,7}:{(17,1),(18,1),(45,1),(52,1)}
        33:{1,3,6,7}:{(18,1),(19,1),(22,1),(52,1)}
        34:{2,3,5,6,7}:{(19,1),(23,1),(47,1),(53,1),(54,1),(60,1),(115,1),(176,1)}
        35:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(210,1),(213,1),(256,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(51,1),(56,1),(57,1),(95,1),(167,1),(264,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(52,1),(57,1),(58,1),(108,1),(110,1),(114,1),(169,1),(216,1),(263,1)}
        38:{1,5,6,7}:{(22,1),(23,1),(170,1)}
        39:{2,4,5,6,7}:{(23,1),(24,1),(54,1),(59,1),(60,1),(110,1),(115,1),(174,1)}
        40:{2,4,5}:{(25,1),(27,1),(62,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(63,1),(64,1),(71,1),(118,1),(136,1),(193,1),(197,1),(235,1),(238,1),(249,1),(278,1),(284,1)}
        42:{2,3,4,6}:{(26,1),(64,1),(65,1),(140,1),(180,1),(234,1),(248,1),(280,1),(283,1)}
        43:{1,2,4,6}:{(27,1),(30,1),(61,1),(66,1),(67,1),(73,1),(125,1)}
        44:{2,3,6}:{(27,1),(62,1),(66,1),(69,1)}
        45:{2,4,7}:{(27,1),(28,1),(32,1),(69,1)}
        46:{1,3,4,6,7}:{(28,1),(29,1),(33,1),(64,1),(70,1),(71,1),(80,1),(129,1),(137,1),(143,1),(193,1),(197,1),(206,1),(249,1),(253,1)}
        47:{2,3,5,7}:{(29,1),(65,1),(71,1),(72,1),(141,1),(205,1),(252,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(66,1),(73,1),(74,1),(127,1),(191,1),(200,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(67,1),(74,1),(75,1),(188,1)}
        50:{2,4,6}:{(31,1),(35,1),(73,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(36,1),(69,1),(74,1),(77,1),(78,1),(126,1),(141,1),(188,1)}
        52:{2,6,7}:{(32,1),(33,1)}
        53:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(71,1),(79,1),(80,1),(143,1),(147,1),(206,1)}
        54:{2,4,6,7}:{(34,1),(72,1),(80,1),(81,1)}
        55:{1,3,4,5}:{(35,1),(76,1),(127,1),(235,1),(238,1),(273,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(77,1),(193,1),(197,1),(243,1)}
        57:{1,3,6,7}:{(36,1),(37,1),(78,1),(143,1),(191,1),(280,1)}
        58:{1,2,5,6,7}:{(37,1),(38,1),(79,1),(84,1),(130,1),(141,1),(200,1),(241,1),(254,1)}
        59:{1,4,5,6,7}:{(38,1),(39,1),(80,1),(85,1),(201,1)}
        60:{3,5,6,7}:{(39,1),(81,1),(143,1),(205,1)}
        61:{1,2,4,5}:{(40,1),(43,1),(86,1),(103,1),(148,1),(157,1)}
        62:{2,3,5}:{(40,1),(44,1),(86,1),(88,1)}
        63:{2,4,5,7}:{(40,1),(41,1),(45,1),(89,1),(90,1),(100,1),(166,1),(212,1),(270,1),(292,1)}
        64:{1,3,4,6}:{(41,1),(42,1),(90,1),(91,1),(151,1),(169,1),(210,1),(213,1),(297,1)}
        65:{2,3,5,6}:{(42,1),(47,1),(91,1),(92,1),(173,1),(231,1),(271,1)}
        66:{1,3,6}:{(43,1),(44,1),(86,1),(93,1),(95,1)}
        67:{1,2,4,7}:{(43,1),(45,1),(49,1),(95,1),(104,1),(158,1)}
        68:{2,3,4,6}:{(44,1),(50,1),(88,1),(94,1),(97,1),(98,1),(164,1),(256,1)}
        69:{2,3,7}:{(44,1),(45,1),(95,1)}
        70:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(99,1),(100,1),(166,1),(232,1),(270,1)}
        71:{1,3,5,7}:{(46,1),(47,1),(91,1),(100,1),(101,1),(167,1),(170,1),(272,1)}
        72:{2,4,5,7}:{(47,1),(54,1),(92,1),(101,1),(102,1),(218,1)}
        73:{1,4,6}:{(48,1),(50,1),(103,1),(104,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(95,1),(104,1),(105,1),(170,1)}
        75:{1,2,6,7}:{(49,1),(52,1),(105,1),(216,1)}
        76:{2,4,5}:{(50,1),(55,1),(97,1),(103,1),(157,1)}
        77:{2,4,7}:{(50,1),(51,1),(56,1),(104,1)}
        78:{2,3,6,7}:{(51,1),(52,1),(57,1),(105,1),(108,1),(164,1),(216,1)}
        79:{2,5,6,7}:{(52,1),(53,1),(100,1),(110,1),(232,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(101,1),(110,1)}
        81:{3,4,6,7}:{(54,1),(60,1),(102,1)}
        82:{1,3,4,5,7}:{(55,1),(56,1),(107,1),(112,1),(113,1),(160,1),(220,1),(224,1),(264,1)}
        83:{1,3,4,6,7}:{(56,1),(57,1),(108,1),(112,1),(113,1),(114,1),(175,1)}
        84:{1,3,5,6,7}:{(57,1),(58,1),(109,1),(113,1),(114,1),(162,1),(219,1),(230,1),(272,1)}
        85:{1,3,5,6,7}:{(59,1),(60,1),(111,1),(115,1),(228,1)}
        86:{1,3,5}:{(61,1),(62,1),(66,1),(116,1),(117,1)}
        87:{1,2,4,5,7}:{(61,1),(63,1),(67,1),(118,1),(119,1),(130,1),(136,1),(179,1),(188,1),(193,1),(233,1),(235,1),(242,1),(284,1),(285,1),(301,1),(305,1)}
        88:{2,3,4}:{(62,1),(117,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(69,1),(118,1),(120,1),(121,1),(184,1),(286,1),(303,1)}
        90:{2,4,6}:{(63,1),(64,1),(121,1),(122,1)}
        91:{1,3,5,6}:{(64,1),(65,1),(71,1),(122,1),(123,1),(186,1),(200,1),(287,1)}
        92:{2,4,5,6}:{(65,1),(72,1),(123,1),(124,1),(234,1)}
        93:{2,3,6}:{(66,1),(116,1),(125,1),(126,1)}
        94:{1,3,4,6}:{(66,1),(68,1),(73,1),(117,1),(125,1),(127,1),(128,1),(191,1)}
        95:{1,3,7}:{(66,1),(67,1),(69,1),(126,1)}
        96:{1,2,4,6,7}:{(67,1),(70,1),(75,1),(119,1),(129,1),(130,1),(137,1),(189,1),(193,1),(253,1),(254,1),(285,1)}
        97:{2,3,5}:{(68,1),(76,1),(127,1),(273,1)}
        98:{2,3,4,7}:{(68,1),(69,1),(77,1),(128,1),(131,1),(243,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(121,1),(129,1),(133,1),(143,1),(286,1)}
       100:{2,5,7}:{(70,1),(71,1),(122,1)}
       101:{1,4,5,7}:{(71,1),(72,1),(80,1),(123,1),(134,1),(193,1)}
       102:{3,4,5,7}:{(72,1),(81,1),(124,1),(205,1),(243,1)}
       103:{1,4,5}:{(73,1),(76,1),(127,1)}
       104:{1,4,7}:{(73,1),(74,1),(77,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(137,1),(191,1)}
       106:{1,2,5,6,7}:{(75,1),(79,1),(130,1),(138,1),(139,1),(147,1),(241,1),(252,1),(287,1)}
       107:{2,4,5,7}:{(76,1),(77,1),(82,1),(131,1),(136,1),(140,1),(141,1),(188,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(83,1),(137,1),(140,1),(141,1)}
       109:{2,3,5,6,7}:{(78,1),(79,1),(84,1),(133,1),(138,1),(141,1),(142,1),(143,1),(190,1),(195,1),(203,1),(205,1),(241,1),(252,1),(280,1)}
       110:{2,4,6,7}:{(79,1),(80,1),(134,1),(143,1)}
       111:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(135,1),(143,1),(144,1),(206,1)}
       112:{1,3,4,6}:{(82,1),(140,1),(145,1),(191,1),(244,1),(248,1),(280,1)}
       113:{1,3,5,7}:{(83,1),(141,1),(145,1),(146,1),(205,1)}
       114:{1,4,6,7}:{(84,1),(142,1),(146,1),(193,1),(244,1)}
       115:{2,5,6,7}:{(85,1),(144,1),(147,1),(252,1)}
       116:{2,3,5}:{(86,1),(93,1),(148,1),(157,1)}
       117:{1,3,4}:{(86,1),(88,1),(148,1)}
       118:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(149,1),(150,1),(151,1),(209,1),(264,1),(298,1),(309,1)}
       119:{1,2,4,6}:{(87,1),(90,1),(151,1),(152,1),(169,1),(207,1),(210,1),(216,1),(263,1),(297,1),(311,1)}
       120:{2,3,4,7}:{(88,1),(89,1),(150,1),(153,1),(166,1),(310,1)}
       121:{2,3,6}:{(89,1),(90,1),(151,1)}
       122:{2,5,6}:{(90,1),(91,1),(100,1)}
       123:{1,4,5,6}:{(91,1),(92,1),(101,1),(155,1),(210,1)}
       124:{3,4,5,6}:{(92,1),(102,1),(231,1),(256,1)}
       125:{2,4,6}:{(93,1),(94,1),(148,1),(157,1),(158,1),(216,1)}
       126:{2,3,7}:{(93,1),(95,1),(158,1)}
       127:{1,3,5}:{(94,1),(97,1),(103,1),(157,1)}
       128:{1,3,4,7}:{(94,1),(95,1),(98,1),(104,1),(158,1),(160,1)}
       129:{1,3,6,7}:{(95,1),(96,1),(99,1),(151,1),(159,1),(162,1),(298,1)}
       130:{1,2,5,7}:{(96,1),(100,1),(152,1),(162,1),(170,1),(217,1),(272,1)}
       131:{2,3,5,7}:{(97,1),(98,1),(107,1),(160,1),(164,1),(264,1)}
       132:{2,3,4,6,7}:{(98,1),(99,1),(108,1),(153,1),(161,1),(164,1),(165,1),(166,1),(175,1),(223,1),(229,1),(265,1),(294,1)}
       133:{2,3,5,7}:{(99,1),(100,1),(154,1),(162,1),(166,1),(167,1)}
       134:{2,4,5,7}:{(100,1),(101,1),(110,1),(155,1),(166,1),(167,1)}
       135:{1,3,4,5,7}:{(101,1),(102,1),(111,1),(156,1),(167,1),(168,1),(221,1),(226,1),(228,1)}
       136:{1,4,5,7}:{(103,1),(104,1),(107,1),(160,1),(169,1),(170,1)}
       137:{1,4,6,7}:{(104,1),(105,1),(108,1),(169,1),(170,1)}
       138:{1,3,5,6,7}:{(105,1),(106,1),(109,1),(162,1),(170,1),(171,1),(172,1),(219,1),(228,1)}
       139:{1,2,4,6,7}:{(106,1),(110,1),(163,1),(171,1),(172,1),(177,1),(229,1),(232,1),(263,1),(297,1),(311,1)}
       140:{2,4,6}:{(107,1),(112,1),(164,1),(169,1),(173,1),(216,1)}
       141:{2,5,7}:{(108,1),(113,1),(170,1),(173,1)}
       142:{2,4,6,7}:{(109,1),(114,1),(166,1),(171,1),(174,1),(175,1),(218,1),(223,1),(263,1)}
       143:{3,6,7}:{(110,1),(167,1)}
       144:{2,4,6,7}:{(111,1),(115,1),(168,1),(176,1),(177,1),(232,1)}
       145:{1,3,5,6}:{(112,1),(113,1),(173,1),(178,1),(231,1)}
       146:{1,4,5,7}:{(113,1),(114,1),(174,1),(178,1),(272,1)}
       147:{1,5,6,7}:{(115,1),(177,1),(272,1)}
       148:{2,4}:{(116,1),(117,1)}
       149:{2,3,5,7}:{(116,1),(118,1),(126,1),(179,1),(180,1),(188,1),(233,1),(305,1),(306,1),(312,1)}
       150:{1,3,4,7}:{(117,1),(118,1),(120,1),(179,1),(181,1),(193,1),(243,1),(313,1)}
       151:{1,3,6}:{(118,1),(119,1),(121,1),(180,1),(280,1)}
       152:{1,2,5,6}:{(119,1),(122,1),(130,1),(182,1),(200,1),(233,1),(241,1),(287,1)}
       153:{2,3,4,6}:{(120,1),(121,1),(181,1),(184,1),(185,1)}
       154:{2,3,5,6}:{(121,1),(122,1),(133,1),(182,1),(184,1),(185,1),(186,1)}
       155:{2,4,5,6}:{(122,1),(123,1),(134,1),(185,1),(186,1)}
       156:{1,3,4,5,6}:{(123,1),(124,1),(135,1),(186,1),(187,1),(236,1),(240,1),(251,1)}
       157:{2,5}:{(125,1),(127,1)}
       158:{2,4,7}:{(125,1),(126,1),(128,1),(188,1)}
       159:{2,3,6,7}:{(126,1),(129,1),(180,1),(189,1),(190,1),(280,1),(306,1)}
       160:{1,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(188,1),(191,1)}
       161:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(137,1),(181,1),(189,1),(191,1),(192,1),(193,1),(243,1),(244,1),(253,1),(280,1),(282,1),(304,1)}
       162:{1,3,5,7}:{(129,1),(130,1),(133,1),(182,1),(190,1),(193,1)}
       163:{1,2,4,5,7}:{(130,1),(134,1),(139,1),(183,1),(193,1),(194,1),(199,1),(201,1),(242,1),(246,1),(250,1),(252,1),(284,1),(285,1),(305,1)}
       164:{2,3,6}:{(131,1),(140,1),(191,1),(280,1)}
       165:{2,3,5,7}:{(132,1),(141,1),(184,1),(192,1),(195,1),(196,1),(205,1),(252,1)}
       166:{2,4,7}:{(133,1),(185,1),(193,1),(197,1)}
       167:{3,5,7}:{(134,1),(143,1),(186,1),(197,1)}
       168:{2,4,5,7}:{(135,1),(144,1),(187,1),(198,1),(199,1),(246,1),(250,1),(252,1)}
       169:{1,4,6}:{(136,1),(140,1),(191,1),(200,1)}
       170:{1,5,7}:{(137,1),(141,1),(200,1)}
       171:{1,4,6,7}:{(138,1),(142,1),(193,1),(201,1),(244,1)}
       172:{1,3,6,7}:{(139,1),(143,1),(194,1),(203,1),(280,1),(304,1)}
       173:{2,5,6}:{(140,1),(141,1),(145,1),(200,1)}
       174:{2,4,5,7}:{(141,1),(142,1),(146,1),(201,1),(204,1),(205,1),(252,1)}
       175:{3,4,6,7}:{(142,1),(143,1),(197,1),(205,1),(243,1),(248,1),(280,1)}
       176:{2,3,6,7}:{(143,1),(144,1),(198,1),(206,1)}
       177:{1,4,6,7}:{(144,1),(147,1),(199,1),(206,1)}
       178:{1,4,5,6}:{(145,1),(146,1),(204,1),(244,1),(287,1)}
       179:{2,4,7}:{(148,1),(149,1),(150,1),(207,1),(314,1)}
       180:{2,3,6}:{(149,1),(151,1),(207,1),(216,1),(311,1)}
       181:{1,3,4,6}:{(150,1),(151,1),(153,1),(207,1),(209,1),(210,1),(256,1)}
       182:{1,3,5,6}:{(151,1),(152,1),(154,1),(162,1),(208,1),(209,1),(210,1)}
       183:{1,2,4,5,6}:{(152,1),(155,1),(163,1),(210,1),(211,1),(215,1),(227,1),(255,1),(258,1),(262,1),(263,1),(271,1),(290,1),(291,1),(297,1),(307,1),(311,1)}
       184:{2,3,5}:{(153,1),(209,1),(212,1)}
       185:{2,4,6}:{(154,1),(166,1),(210,1),(212,1),(213,1)}
       186:{3,5,6}:{(155,1),(167,1),(213,1)}
       187:{2,4,5,6}:{(156,1),(168,1),(214,1),(215,1),(258,1),(262,1),(271,1)}
       188:{2,5,7}:{(157,1),(158,1),(160,1),(216,1)}
       189:{2,4,6,7}:{(158,1),(159,1),(161,1),(207,1),(216,1),(217,1),(218,1),(263,1),(296,1),(311,1)}
       190:{2,3,5,7}:{(159,1),(162,1),(208,1),(217,1),(218,1),(264,1)}
       191:{1,3,6}:{(160,1),(164,1),(169,1),(216,1)}
       192:{1,3,5,7}:{(161,1),(165,1),(170,1),(209,1),(217,1),(219,1),(220,1),(264,1),(272,1)}
       193:{1,4,7}:{(162,1),(166,1),(210,1),(218,1)}
       194:{1,3,5,7}:{(163,1),(167,1),(172,1),(211,1),(221,1),(222,1),(264,1),(298,1)}
       195:{2,3,5,6}:{(164,1),(165,1),(173,1),(219,1),(223,1),(231,1),(271,1),(294,1)}
       196:{2,4,5,7}:{(165,1),(166,1),(212,1),(220,1),(223,1),(224,1)}
       197:{3,4,7}:{(166,1),(167,1),(213,1)}
       198:{2,3,5,7}:{(167,1),(168,1),(176,1),(214,1),(225,1),(226,1)}
       199:{1,4,5,7}:{(168,1),(177,1),(215,1),(226,1),(268,1),(272,1)}
       200:{1,5,6}:{(169,1),(170,1),(173,1)}
       201:{1,4,5,7}:{(170,1),(171,1),(174,1),(227,1),(228,1)}
       202:{1,3,4,6,7}:{(171,1),(172,1),(175,1),(221,1),(228,1),(229,1),(266,1)}
       203:{2,3,6,7}:{(172,1),(222,1),(229,1),(230,1),(232,1),(294,1),(311,1)}
       204:{2,4,5,6}:{(173,1),(174,1),(178,1),(223,1),(227,1),(231,1),(263,1),(271,1)}
       205:{3,5,7}:{(174,1),(175,1),(231,1)}
       206:{1,3,6,7}:{(176,1),(177,1),(226,1),(232,1)}
       207:{2,4,6}:{(179,1),(180,1),(181,1),(233,1)}
       208:{2,3,5,6}:{(180,1),(182,1),(190,1),(233,1),(234,1),(241,1),(273,1),(280,1)}
       209:{1,3,5}:{(181,1),(184,1),(233,1),(235,1),(273,1)}
       210:{1,4,6}:{(182,1),(185,1),(193,1),(234,1),(235,1)}
       211:{1,3,5,6}:{(183,1),(186,1),(194,1),(236,1),(237,1),(273,1),(280,1),(299,1),(302,1),(304,1)}
       212:{2,4,5}:{(184,1),(185,1),(235,1),(238,1)}
       213:{3,4,6}:{(185,1),(186,1),(197,1),(238,1)}
       214:{2,3,5,6}:{(186,1),(187,1),(198,1),(239,1),(240,1)}
       215:{1,4,5,6}:{(187,1),(199,1),(240,1),(276,1),(287,1)}
       216:{2,6}:{(188,1),(191,1)}
       217:{2,5,7}:{(189,1),(192,1),(233,1),(241,1)}
       218:{2,4,7}:{(190,1),(193,1),(234,1),(243,1)}
       219:{1,3,5,6}:{(191,1),(192,1),(195,1),(200,1),(241,1),(244,1),(280,1),(287,1),(304,1)}
       220:{1,4,5,7}:{(192,1),(193,1),(196,1),(235,1),(242,1),(244,1)}
       221:{1,3,4,7}:{(193,1),(194,1),(197,1),(236,1),(243,1),(246,1)}
       222:{2,3,5,7}:{(194,1),(203,1),(237,1),(246,1),(247,1),(250,1),(252,1),(286,1),(305,1),(306,1)}
       223:{2,4,6}:{(195,1),(196,1),(244,1),(248,1)}
       224:{3,4,5,7}:{(196,1),(197,1),(205,1),(238,1),(248,1)}
       225:{2,3,4,7}:{(197,1),(198,1),(239,1),(246,1),(249,1),(306,1)}
       226:{1,3,5,7}:{(198,1),(199,1),(206,1),(240,1),(249,1),(250,1)}
       227:{1,4,5,6}:{(200,1),(201,1),(204,1),(244,1),(251,1)}
       228:{1,3,5,7}:{(201,1),(202,1),(205,1),(251,1),(252,1)}
       229:{2,4,6,7}:{(202,1),(203,1),(246,1),(252,1),(253,1),(283,1)}
       230:{1,3,6,7}:{(203,1),(247,1),(253,1),(254,1),(304,1)}
       231:{3,5,6}:{(204,1),(205,1),(248,1),(280,1)}
       232:{2,6,7}:{(206,1),(250,1)}
       233:{2,5}:{(207,1),(209,1)}
       234:{2,4,6}:{(208,1),(210,1),(218,1),(255,1),(256,1)}
       235:{1,4,5}:{(209,1),(210,1),(212,1),(255,1)}
       236:{1,3,4,6}:{(210,1),(211,1),(213,1),(221,1),(256,1),(257,1),(258,1)}
       237:{2,3,5,6}:{(211,1),(222,1),(258,1),(259,1),(262,1),(271,1),(288,1),(293,1),(294,1),(307,1),(308,1),(311,1)}
       238:{3,4,5}:{(212,1),(213,1)}
       239:{2,3,4,6}:{(213,1),(214,1),(225,1),(258,1),(260,1),(261,1),(308,1)}
       240:{1,3,5,6}:{(214,1),(215,1),(226,1),(261,1),(262,1)}
       241:{2,5,6}:{(216,1),(217,1),(219,1),(263,1),(311,1)}
       242:{2,4,5,7}:{(217,1),(218,1),(220,1),(255,1),(263,1),(264,1)}
       243:{3,4,7}:{(218,1),(256,1),(264,1)}
       244:{1,4,6}:{(219,1),(220,1),(223,1),(263,1)}
       245:{1,3,4,5,7}:{(220,1),(221,1),(224,1),(228,1),(257,1),(264,1),(266,1),(267,1),(295,1)}
       246:{2,4,7}:{(221,1),(222,1),(258,1),(268,1)}
       247:{1,3,5,7}:{(222,1),(230,1),(259,1),(268,1),(269,1),(272,1),(298,1)}
       248:{3,4,6}:{(223,1),(224,1),(231,1)}
       249:{1,3,4,7}:{(225,1),(226,1),(261,1),(268,1),(270,1),(298,1)}
       250:{2,5,7}:{(226,1),(232,1),(262,1),(270,1)}
       251:{1,3,5,6}:{(227,1),(228,1),(231,1),(266,1),(271,1)}
       252:{2,5,7}:{(228,1),(229,1),(271,1),(272,1)}
       253:{1,4,6,7}:{(229,1),(230,1),(268,1),(272,1),(297,1)}
       254:{1,2,6,7}:{(230,1),(232,1),(269,1),(311,1)}
       255:{2,4,5}:{(233,1),(234,1),(235,1),(273,1)}
       256:{3,4,6}:{(234,1),(243,1),(273,1),(280,1)}
       257:{1,3,4,5}:{(235,1),(236,1),(238,1),(273,1),(275,1),(299,1)}
       258:{2,4,6}:{(236,1),(237,1),(246,1),(275,1),(276,1)}
       259:{1,3,5,6}:{(237,1),(247,1),(276,1),(277,1),(287,1),(299,1),(302,1),(304,1)}
       260:{2,3,4,5}:{(238,1),(239,1),(275,1),(278,1),(312,1)}
       261:{1,3,4,6}:{(239,1),(240,1),(249,1),(276,1),(278,1),(279,1),(302,1)}
       262:{2,5,6}:{(240,1),(250,1),(279,1)}
       263:{2,4,6}:{(241,1),(242,1),(244,1),(280,1)}
       264:{3,5,7}:{(242,1),(243,1),(273,1),(280,1)}
       265:{2,3,4,7}:{(243,1),(246,1),(274,1),(281,1),(282,1),(286,1)}
       266:{1,3,4,6}:{(244,1),(245,1),(248,1),(251,1),(280,1),(283,1),(304,1)}
       267:{2,4,5,7}:{(245,1),(246,1),(252,1),(275,1),(281,1),(283,1),(284,1),(305,1)}
       268:{1,4,7}:{(246,1),(247,1),(276,1)}
       269:{1,2,5,7}:{(247,1),(250,1),(254,1),(277,1),(285,1),(305,1)}
       270:{2,4,7}:{(249,1),(250,1),(279,1),(286,1)}
       271:{2,5,6}:{(251,1),(252,1),(283,1),(287,1)}
       272:{1,5,7}:{(252,1),(253,1),(287,1)}
       273:{3,5}:{(255,1),(256,1)}
       274:{2,3,4,6}:{(256,1),(258,1),(265,1),(288,1),(289,1),(293,1),(294,1),(310,1)}
       275:{2,4,5}:{(257,1),(258,1),(288,1),(290,1),(307,1)}
       276:{1,4,6}:{(258,1),(259,1),(268,1),(290,1)}
       277:{1,2,5,6}:{(259,1),(262,1),(269,1),(291,1),(307,1),(311,1)}
       278:{1,3,4,5}:{(260,1),(261,1),(290,1),(292,1),(309,1)}
       279:{2,4,6}:{(261,1),(262,1),(270,1),(292,1),(293,1)}
       280:{3,6}:{(263,1),(264,1)}
       281:{2,3,5,7}:{(264,1),(265,1),(267,1),(288,1),(294,1),(295,1)}
       282:{1,3,4,7}:{(265,1),(268,1),(289,1),(295,1),(296,1),(298,1)}
       283:{2,4,6}:{(266,1),(267,1),(271,1),(294,1),(297,1),(311,1)}
       284:{1,4,5,7}:{(267,1),(268,1),(272,1),(290,1),(295,1),(297,1)}
       285:{1,2,4,7}:{(268,1),(269,1),(270,1),(291,1),(296,1),(298,1)}
       286:{2,3,7}:{(270,1),(293,1),(298,1)}
       287:{1,5,6}:{(271,1),(272,1),(297,1)}
       288:{2,3,5}:{(273,1),(274,1),(275,1),(299,1)}
       289:{1,3,4,6}:{(274,1),(276,1),(282,1),(299,1),(300,1),(302,1),(304,1),(313,1)}
       290:{1,4,5}:{(275,1),(276,1),(299,1)}
       291:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(300,1),(301,1),(302,1)}
       292:{2,4,5}:{(278,1),(279,1),(303,1)}
       293:{2,3,6}:{(279,1),(286,1),(302,1),(303,1)}
       294:{2,3,6}:{(280,1),(281,1),(283,1),(304,1)}
       295:{1,3,5,7}:{(281,1),(282,1),(284,1),(299,1),(304,1),(305,1)}
       296:{2,4,7}:{(282,1),(300,1),(305,1),(306,1)}
       297:{1,4,6}:{(283,1),(284,1),(287,1),(304,1)}
       298:{1,3,7}:{(285,1),(286,1),(302,1),(306,1)}
       299:{1,3,5}:{(288,1),(289,1),(290,1),(307,1)}
       300:{2,4,6}:{(289,1),(296,1),(307,1),(308,1),(311,1),(314,1)}
       301:{1,2,4,5}:{(290,1),(291,1),(292,1),(307,1),(309,1),(314,1)}
       302:{1,3,6}:{(291,1),(293,1),(298,1),(308,1),(309,1)}
       303:{2,3,5}:{(292,1),(293,1),(309,1),(310,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(311,1)}
       305:{2,5,7}:{(295,1),(296,1),(307,1),(311,1)}
       306:{2,3,7}:{(296,1),(298,1),(308,1)}
       307:{2,5}:{(299,1),(300,1)}
       308:{2,3,6}:{(300,1),(302,1),(306,1),(312,1)}
       309:{1,3,5}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{2,3,4}:{(303,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{2,3,5}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,4}:{(309,1),(310,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2055 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2056 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

2057 :   0:{1,3,4,5,7}:{(3,1),(4,1),(6,1),(20,1),(58,1),(66,1),(67,1),(103,1),(104,1),(114,1),(122,1),(125,1),(168,1),(188,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(32,1),(66,1),(67,1),(122,1)}
         2:{1,3,5,6,7}:{(6,1),(7,1),(8,1),(32,1),(124,1)}
         3:{2,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(15,1),(35,1),(44,1),(76,1),(79,1),(92,1),(134,1),(141,1)}
         4:{1,3,4,6}:{(0,1),(11,1),(12,1),(36,1),(82,1),(83,1),(143,1),(158,1),(220,1)}
         5:{2,4,6,7}:{(1,1),(11,1),(13,1),(14,1),(15,1),(42,1),(44,1),(92,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(48,1)}
         7:{2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(152,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(18,1),(97,1),(158,1)}
         9:{2,3,5,7}:{(3,1),(19,1),(20,1),(21,1),(52,1),(122,1),(168,1),(188,1),(245,1)}
        10:{1,4,5,7}:{(3,1),(20,1),(23,1),(29,1),(66,1),(103,1),(105,1),(171,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(55,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(62,1),(114,1)}
        13:{2,3,6,7}:{(5,1),(21,1),(26,1),(27,1),(32,1),(71,1),(122,1)}
        14:{1,4,6,7}:{(5,1),(23,1),(26,1),(29,1),(66,1)}
        15:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(25,1),(30,1),(66,1),(126,1)}
        17:{1,5,6,7}:{(7,1),(29,1),(31,1),(182,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(30,1),(31,1),(32,1),(71,1),(187,1)}
        19:{2,3,4,7}:{(9,1),(33,1),(34,1),(44,1),(79,1),(127,1),(154,1),(155,1),(201,1),(217,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(36,1),(75,1),(270,1)}
        21:{2,3,6}:{(9,1),(11,1),(36,1),(143,1),(220,1),(269,1)}
        22:{1,2,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(46,1),(72,1),(79,1),(92,1),(95,1),(130,1),(134,1),(136,1),(141,1),(147,1),(153,1),(191,1),(196,1),(251,1),(270,1),(287,1)}
        23:{1,4,6}:{(10,1),(11,1),(36,1),(40,1)}
        24:{2,5,6}:{(11,1),(12,1),(15,1),(40,1),(141,1)}
        25:{1,4,5,6}:{(12,1),(16,1),(41,1),(82,1),(147,1),(148,1),(158,1)}
        26:{1,3,6,7}:{(13,1),(14,1),(36,1),(42,1),(43,1),(97,1)}
        27:{2,3,5,7}:{(13,1),(15,1),(37,1),(43,1),(44,1),(48,1),(96,1),(155,1)}
        28:{1,2,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(46,1),(90,1),(92,1),(95,1),(204,1),(249,1),(287,1)}
        29:{1,5,7}:{(14,1),(15,1),(40,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(18,1),(41,1),(44,1),(47,1),(48,1),(92,1),(96,1)}
        31:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(215,1)}
        32:{3,6,7}:{(18,1),(48,1),(220,1)}
        33:{1,3,4,7}:{(19,1),(20,1),(50,1),(51,1),(66,1),(98,1),(105,1),(122,1),(189,1),(246,1)}
        34:{2,3,4,6}:{(19,1),(21,1),(51,1),(52,1),(57,1),(109,1),(160,1),(177,1),(178,1),(224,1),(233,1),(238,1)}
        35:{2,5,7}:{(20,1),(50,1),(55,1),(102,1)}
        36:{1,3,6}:{(20,1),(21,1),(23,1),(55,1),(286,1)}
        37:{2,3,5,6}:{(21,1),(24,1),(27,1),(52,1),(56,1),(57,1),(62,1),(116,1),(178,1)}
        38:{1,3,5,7}:{(22,1),(54,1),(58,1),(59,1),(98,1),(114,1),(122,1),(163,1),(168,1),(188,1),(273,1),(299,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(55,1),(59,1),(60,1),(109,1),(111,1),(115,1),(170,1),(187,1),(222,1),(272,1),(286,1)}
        40:{1,5,6}:{(23,1),(24,1),(29,1),(171,1)}
        41:{2,4,5,6}:{(24,1),(25,1),(30,1),(57,1),(61,1),(62,1),(111,1),(116,1),(176,1),(187,1)}
        42:{2,6,7}:{(26,1),(55,1),(65,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(29,1),(56,1),(65,1),(66,1),(122,1),(126,1),(189,1)}
        44:{2,4,7}:{(27,1),(57,1),(66,1),(67,1)}
        45:{1,3,6,7}:{(28,1),(59,1),(64,1),(69,1),(122,1),(286,1),(299,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(60,1),(65,1),(69,1),(120,1),(235,1),(247,1),(271,1)}
        47:{1,4,5,7}:{(29,1),(30,1),(31,1),(61,1),(66,1),(70,1)}
        48:{3,5,7}:{(30,1),(32,1),(62,1),(67,1),(122,1)}
        49:{1,3,6,7}:{(31,1),(32,1),(70,1),(71,1),(244,1)}
        50:{2,4,7}:{(33,1),(35,1),(73,1),(74,1),(221,1)}
        51:{1,3,4,6}:{(33,1),(34,1),(36,1),(74,1),(75,1),(82,1),(129,1),(137,1),(143,1),(196,1),(201,1),(212,1),(260,1),(265,1)}
        52:{2,3,5}:{(34,1),(75,1),(76,1),(141,1),(211,1),(264,1)}
        53:{1,2,5,7}:{(35,1),(72,1),(77,1),(78,1),(130,1),(191,1),(270,1)}
        54:{2,3,5,7}:{(35,1),(38,1),(73,1),(77,1),(79,1),(80,1),(127,1),(133,1),(141,1),(191,1),(193,1)}
        55:{2,6}:{(35,1),(36,1)}
        56:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(75,1),(81,1),(82,1),(143,1),(148,1),(212,1)}
        57:{2,4,6}:{(37,1),(44,1),(76,1),(82,1),(83,1)}
        58:{1,3,4,7}:{(38,1),(79,1),(85,1),(95,1),(154,1),(196,1),(201,1),(252,1)}
        59:{1,3,6}:{(38,1),(39,1),(80,1),(143,1),(220,1),(288,1)}
        60:{1,2,5,6}:{(39,1),(40,1),(46,1),(81,1),(86,1),(130,1),(141,1),(152,1),(205,1),(250,1),(266,1)}
        61:{1,4,5,6}:{(40,1),(41,1),(47,1),(82,1),(87,1),(206,1),(215,1)}
        62:{3,5,6}:{(41,1),(48,1),(83,1),(143,1),(211,1),(220,1)}
        63:{1,2,6,7}:{(42,1),(78,1),(88,1),(89,1),(97,1),(249,1),(269,1),(298,1)}
        64:{2,3,6,7}:{(42,1),(45,1),(80,1),(88,1),(90,1),(91,1),(220,1),(249,1),(269,1)}
        65:{2,5,7}:{(42,1),(43,1),(81,1),(92,1),(221,1)}
        66:{1,4,7}:{(43,1),(44,1),(82,1),(92,1)}
        67:{3,4,7}:{(44,1),(48,1),(83,1)}
        68:{1,3,4,6,7}:{(45,1),(85,1),(90,1),(94,1),(95,1),(154,1),(158,1),(220,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(86,1),(91,1),(95,1),(218,1),(270,1)}
        70:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(93,1),(96,1)}
        71:{2,6,7}:{(49,1),(96,1),(97,1),(269,1)}
        72:{1,2,4,7}:{(50,1),(53,1),(98,1),(99,1),(105,1),(159,1),(246,1),(247,1)}
        73:{2,3,7}:{(50,1),(98,1),(101,1),(122,1)}
        74:{2,4,6}:{(50,1),(51,1),(55,1),(101,1),(102,1),(167,1),(242,1),(281,1)}
        75:{1,3,5}:{(51,1),(52,1),(102,1),(103,1),(168,1),(171,1),(284,1)}
        76:{2,4,5}:{(52,1),(57,1),(103,1),(104,1),(224,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(98,1),(105,1),(106,1),(163,1),(171,1)}
        78:{1,2,6}:{(53,1),(55,1),(106,1),(222,1),(286,1)}
        79:{2,4,7}:{(54,1),(58,1),(105,1),(109,1),(167,1),(224,1)}
        80:{2,3,6}:{(54,1),(55,1),(59,1),(106,1),(109,1),(222,1)}
        81:{2,5,6}:{(55,1),(56,1),(65,1),(102,1),(111,1),(242,1)}
        82:{1,4,6}:{(56,1),(57,1),(66,1),(103,1),(111,1)}
        83:{3,4,6}:{(57,1),(62,1),(67,1),(104,1)}
        84:{1,3,4,5,7}:{(58,1),(108,1),(113,1),(114,1),(125,1),(161,1),(180,1),(188,1),(227,1),(232,1),(273,1),(275,1),(280,1),(299,1)}
        85:{1,3,4,6}:{(58,1),(59,1),(109,1),(114,1),(115,1),(177,1)}
        86:{1,3,5,6}:{(59,1),(60,1),(69,1),(110,1),(114,1),(115,1),(163,1),(239,1),(284,1),(286,1)}
        87:{1,3,5,6}:{(61,1),(62,1),(70,1),(112,1),(116,1),(237,1),(244,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(106,1),(117,1),(118,1),(244,1)}
        89:{1,2,5,7}:{(63,1),(65,1),(107,1),(118,1),(119,1),(126,1),(245,1),(271,1),(306,1)}
        90:{2,4,6,7}:{(64,1),(68,1),(109,1),(117,1),(120,1),(121,1),(187,1)}
        91:{2,3,5,7}:{(64,1),(65,1),(69,1),(110,1),(118,1),(120,1),(121,1),(122,1),(185,1),(188,1),(245,1),(271,1),(299,1)}
        92:{2,4,7}:{(65,1),(66,1),(111,1),(122,1)}
        93:{1,3,4,7}:{(66,1),(67,1),(70,1),(112,1),(122,1),(123,1),(189,1)}
        94:{1,3,5,7}:{(68,1),(114,1),(120,1),(124,1),(125,1),(188,1)}
        95:{1,4,7}:{(69,1),(115,1),(121,1)}
        96:{2,5,7}:{(70,1),(71,1),(116,1),(123,1),(126,1)}
        97:{1,6,7}:{(71,1),(126,1),(286,1)}
        98:{1,3,7}:{(72,1),(73,1),(127,1),(129,1)}
        99:{1,2,4,6}:{(72,1),(74,1),(78,1),(129,1),(130,1),(137,1),(192,1),(196,1),(265,1),(266,1),(294,1)}
       100:{2,3,4,7}:{(73,1),(79,1),(128,1),(131,1),(132,1),(154,1),(217,1),(252,1),(258,1),(307,1)}
       101:{2,3,6}:{(73,1),(74,1),(129,1),(133,1),(143,1),(295,1)}
       102:{2,5}:{(74,1),(75,1)}
       103:{1,4,5}:{(75,1),(76,1),(82,1),(134,1),(196,1)}
       104:{3,4,5}:{(76,1),(83,1),(211,1),(252,1)}
       105:{1,4,7}:{(77,1),(79,1),(137,1),(196,1)}
       106:{1,3,6}:{(77,1),(78,1),(80,1),(137,1)}
       107:{1,2,5,6}:{(78,1),(81,1),(89,1),(130,1),(138,1),(139,1),(148,1),(250,1),(264,1),(269,1),(297,1)}
       108:{2,4,5,7}:{(79,1),(84,1),(131,1),(136,1),(140,1),(141,1),(191,1),(200,1),(209,1),(251,1),(258,1),(287,1)}
       109:{2,4,6}:{(79,1),(80,1),(85,1),(137,1),(141,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(86,1),(91,1),(133,1),(138,1),(141,1),(142,1),(143,1),(152,1),(193,1),(208,1),(211,1),(220,1),(250,1),(264,1),(269,1),(288,1)}
       111:{2,4,6}:{(81,1),(82,1),(92,1),(134,1),(143,1)}
       112:{1,3,4,6}:{(82,1),(83,1),(87,1),(93,1),(135,1),(143,1),(144,1),(212,1)}
       113:{1,3,4,6}:{(84,1),(140,1),(146,1),(158,1),(194,1),(220,1),(254,1),(259,1),(288,1)}
       114:{1,3,5}:{(85,1),(141,1),(147,1),(211,1)}
       115:{1,4,6}:{(86,1),(95,1),(142,1),(147,1),(196,1)}
       116:{2,5,6}:{(87,1),(96,1),(144,1),(148,1),(264,1),(269,1)}
       117:{1,4,6,7}:{(88,1),(90,1),(137,1),(149,1),(150,1),(215,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(91,1),(138,1),(149,1),(150,1),(151,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(150,1),(151,1),(156,1),(217,1),(221,1),(287,1),(311,1),(314,1)}
       120:{2,5,7}:{(90,1),(94,1),(141,1),(149,1),(152,1)}
       121:{2,4,7}:{(91,1),(95,1),(142,1),(150,1),(154,1)}
       122:{3,7}:{(92,1),(143,1)}
       123:{2,4,7}:{(93,1),(96,1),(144,1),(155,1),(156,1),(221,1)}
       124:{1,3,5,6}:{(94,1),(152,1),(158,1),(220,1)}
       125:{1,4,5,7}:{(94,1),(95,1),(147,1),(153,1),(158,1),(270,1)}
       126:{1,5,7}:{(96,1),(97,1),(148,1),(156,1)}
       127:{2,3,7}:{(98,1),(159,1),(160,1),(299,1)}
       128:{1,3,4,7}:{(98,1),(100,1),(105,1),(159,1),(161,1),(162,1),(246,1),(275,1),(299,1),(312,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(160,1),(163,1),(305,1)}
       130:{1,2,5}:{(99,1),(102,1),(163,1),(171,1),(223,1),(284,1)}
       131:{2,3,5,7}:{(100,1),(108,1),(161,1),(165,1),(166,1),(188,1),(245,1),(273,1),(299,1)}
       132:{2,3,4,6}:{(100,1),(101,1),(109,1),(162,1),(165,1),(166,1),(167,1),(177,1),(231,1),(238,1),(274,1),(300,1)}
       133:{2,3,5}:{(101,1),(102,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(102,1),(103,1),(111,1),(167,1),(168,1)}
       135:{1,3,4,5}:{(103,1),(104,1),(112,1),(168,1),(169,1),(228,1),(234,1),(237,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(161,1),(170,1),(171,1),(227,1),(235,1),(275,1)}
       137:{1,4,6}:{(105,1),(106,1),(109,1),(171,1)}
       138:{1,3,5,6}:{(106,1),(107,1),(110,1),(118,1),(163,1),(171,1),(172,1),(173,1),(182,1),(237,1),(244,1)}
       139:{1,2,4,6}:{(107,1),(111,1),(119,1),(164,1),(172,1),(173,1),(179,1),(238,1),(242,1),(272,1),(304,1),(313,1)}
       140:{2,4,6}:{(108,1),(113,1),(165,1),(170,1),(175,1),(222,1)}
       141:{2,5}:{(109,1),(114,1),(171,1)}
       142:{2,4,6}:{(110,1),(115,1),(121,1),(167,1),(172,1),(176,1),(177,1),(224,1)}
       143:{3,6}:{(111,1),(122,1),(168,1)}
       144:{2,4,6}:{(112,1),(116,1),(123,1),(169,1),(178,1),(179,1),(242,1)}
       145:{1,3,4,6,7}:{(113,1),(174,1),(180,1),(190,1),(225,1),(248,1),(275,1),(280,1),(299,1)}
       146:{1,3,5,6}:{(113,1),(114,1),(175,1),(180,1),(181,1),(241,1)}
       147:{1,4,5}:{(114,1),(115,1),(176,1),(284,1)}
       148:{1,5,6}:{(116,1),(126,1),(179,1),(284,1),(286,1)}
       149:{1,5,7}:{(117,1),(120,1),(171,1),(182,1)}
       150:{1,4,7}:{(118,1),(121,1),(172,1)}
       151:{1,3,7}:{(119,1),(122,1),(173,1),(185,1),(299,1)}
       152:{2,5,6}:{(120,1),(124,1),(182,1),(187,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(125,1),(176,1),(183,1),(187,1),(188,1),(245,1)}
       154:{3,4,7}:{(121,1),(122,1),(177,1),(188,1),(299,1)}
       155:{2,3,7}:{(122,1),(123,1),(178,1),(189,1)}
       156:{1,4,7}:{(123,1),(126,1),(179,1),(189,1)}
       157:{1,3,5,6,7}:{(124,1),(180,1),(186,1),(190,1),(248,1)}
       158:{1,4,6}:{(124,1),(125,1),(187,1),(286,1)}
       159:{2,4,7}:{(127,1),(128,1),(191,1),(192,1),(314,1)}
       160:{2,3,6}:{(127,1),(129,1),(192,1),(193,1),(288,1),(310,1)}
       161:{1,3,5,7}:{(128,1),(131,1),(136,1),(191,1),(194,1),(195,1),(270,1)}
       162:{1,3,4,6}:{(128,1),(129,1),(132,1),(137,1),(192,1),(194,1),(195,1),(196,1),(252,1),(254,1),(265,1),(288,1),(290,1),(308,1)}
       163:{1,3,5}:{(129,1),(130,1),(133,1),(193,1),(196,1)}
       164:{1,2,4,5}:{(130,1),(134,1),(139,1),(196,1),(197,1),(203,1),(206,1),(251,1),(256,1),(261,1),(264,1),(293,1),(294,1),(309,1)}
       165:{2,3,6}:{(131,1),(140,1),(194,1),(220,1),(269,1),(288,1)}
       166:{2,3,5}:{(132,1),(141,1),(195,1),(200,1),(211,1),(264,1)}
       167:{2,4}:{(133,1),(196,1),(201,1)}
       168:{3,5}:{(134,1),(143,1),(201,1)}
       169:{2,4,5}:{(135,1),(144,1),(202,1),(203,1),(256,1),(261,1),(264,1)}
       170:{1,4,6}:{(136,1),(140,1),(194,1),(205,1)}
       171:{1,5}:{(137,1),(141,1)}
       172:{1,4,6}:{(138,1),(142,1),(150,1),(196,1),(206,1)}
       173:{1,3,6}:{(139,1),(143,1),(151,1),(197,1),(208,1),(288,1)}
       174:{2,4,6,7}:{(140,1),(145,1),(198,1),(204,1),(209,1),(249,1),(258,1),(287,1)}
       175:{2,5,6}:{(140,1),(141,1),(146,1),(205,1),(209,1)}
       176:{2,4,5}:{(141,1),(142,1),(147,1),(206,1),(211,1),(264,1)}
       177:{3,4,6}:{(142,1),(143,1),(154,1),(201,1),(211,1),(220,1),(252,1),(288,1)}
       178:{2,3,6}:{(143,1),(144,1),(155,1),(202,1),(212,1)}
       179:{1,4,6}:{(144,1),(148,1),(156,1),(203,1),(212,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(209,1),(213,1),(267,1)}
       181:{1,4,5,6}:{(146,1),(147,1),(158,1),(210,1),(213,1),(254,1),(297,1)}
       182:{1,5,6}:{(149,1),(152,1),(215,1)}
       183:{1,4,5,7}:{(149,1),(150,1),(153,1),(206,1),(215,1),(216,1)}
       184:{1,3,4,7}:{(150,1),(151,1),(154,1),(207,1),(216,1),(217,1)}
       185:{2,3,7}:{(151,1),(208,1),(217,1),(218,1),(221,1),(314,1)}
       186:{2,5,6,7}:{(152,1),(157,1),(209,1),(214,1),(219,1)}
       187:{2,4,6}:{(152,1),(153,1),(158,1),(215,1),(220,1),(269,1)}
       188:{3,5,7}:{(153,1),(154,1),(211,1),(220,1)}
       189:{1,3,7}:{(155,1),(156,1),(212,1),(221,1)}
       190:{1,4,6,7}:{(157,1),(158,1),(213,1),(219,1),(298,1)}
       191:{2,5,7}:{(159,1),(161,1),(222,1),(223,1)}
       192:{2,4,6}:{(159,1),(160,1),(162,1),(222,1),(223,1),(224,1),(302,1),(313,1)}
       193:{2,3,5}:{(160,1),(163,1),(223,1),(224,1),(273,1)}
       194:{1,3,6}:{(161,1),(165,1),(170,1),(222,1),(286,1)}
       195:{1,3,5}:{(162,1),(166,1),(171,1),(223,1),(227,1),(273,1),(284,1)}
       196:{1,4}:{(163,1),(167,1),(224,1)}
       197:{1,3,5}:{(164,1),(168,1),(173,1),(228,1),(229,1),(273,1),(305,1)}
       198:{2,3,6,7}:{(165,1),(174,1),(225,1),(230,1),(248,1),(285,1),(299,1)}
       199:{2,3,5,6}:{(165,1),(166,1),(175,1),(226,1),(230,1),(231,1),(241,1),(283,1),(300,1)}
       200:{2,4,5}:{(166,1),(167,1),(227,1),(231,1),(232,1)}
       201:{3,4}:{(167,1),(168,1)}
       202:{2,3,5}:{(168,1),(169,1),(178,1),(233,1),(234,1)}
       203:{1,4,5}:{(169,1),(179,1),(234,1),(278,1),(284,1)}
       204:{1,4,6,7}:{(170,1),(174,1),(225,1),(235,1),(275,1)}
       205:{1,5,6}:{(170,1),(171,1),(175,1),(235,1)}
       206:{1,4,5}:{(171,1),(172,1),(176,1),(237,1)}
       207:{1,3,4,6}:{(172,1),(173,1),(177,1),(184,1),(228,1),(237,1),(238,1),(244,1)}
       208:{2,3,6}:{(173,1),(185,1),(229,1),(238,1),(239,1),(242,1),(313,1)}
       209:{2,5,7}:{(174,1),(175,1),(180,1),(235,1)}
       210:{2,4,5,6}:{(175,1),(176,1),(181,1),(187,1),(231,1),(236,1),(240,1),(241,1),(272,1),(283,1)}
       211:{3,5}:{(176,1),(177,1)}
       212:{1,3,6}:{(178,1),(179,1),(189,1),(234,1),(242,1)}
       213:{1,4,5,7}:{(180,1),(181,1),(190,1),(240,1),(275,1),(306,1)}
       214:{1,5,6,7}:{(182,1),(186,1),(235,1),(243,1)}
       215:{1,4,6}:{(182,1),(183,1),(187,1),(244,1)}
       216:{1,3,5,7}:{(183,1),(184,1),(188,1),(237,1),(244,1),(245,1)}
       217:{2,4,7}:{(184,1),(185,1),(238,1),(245,1),(246,1)}
       218:{1,3,7}:{(185,1),(239,1),(246,1),(247,1)}
       219:{2,4,6,7}:{(186,1),(187,1),(190,1),(240,1),(243,1),(248,1),(285,1)}
       220:{3,6}:{(187,1),(188,1)}
       221:{2,7}:{(189,1),(242,1)}
       222:{2,6}:{(191,1),(194,1)}
       223:{2,5}:{(192,1),(195,1)}
       224:{2,4}:{(193,1),(196,1),(252,1)}
       225:{1,3,6,7}:{(194,1),(198,1),(204,1),(249,1),(253,1),(298,1)}
       226:{1,3,5,6}:{(194,1),(195,1),(199,1),(205,1),(250,1),(253,1),(254,1),(288,1),(297,1),(308,1)}
       227:{1,4,5}:{(195,1),(196,1),(200,1),(251,1),(254,1)}
       228:{1,3,4}:{(196,1),(197,1),(201,1),(252,1),(256,1)}
       229:{2,3,5}:{(197,1),(208,1),(256,1),(257,1),(261,1),(264,1),(295,1),(309,1),(310,1)}
       230:{2,3,5,7}:{(198,1),(199,1),(209,1),(253,1),(258,1),(267,1),(296,1),(307,1)}
       231:{2,4,6}:{(199,1),(200,1),(254,1),(258,1),(259,1)}
       232:{3,4,5}:{(200,1),(201,1),(211,1),(259,1)}
       233:{2,3,4}:{(201,1),(202,1),(256,1),(260,1),(310,1)}
       234:{1,3,5}:{(202,1),(203,1),(212,1),(260,1),(261,1)}
       235:{1,5,7}:{(204,1),(205,1),(209,1)}
       236:{1,4,5,6}:{(205,1),(206,1),(210,1),(215,1),(254,1),(262,1),(263,1)}
       237:{1,3,5}:{(206,1),(207,1),(211,1),(264,1)}
       238:{2,4,6}:{(207,1),(208,1),(217,1),(256,1),(264,1),(265,1),(269,1)}
       239:{1,3,6}:{(208,1),(218,1),(257,1),(265,1),(266,1)}
       240:{2,4,5,7}:{(209,1),(210,1),(213,1),(219,1),(258,1),(262,1),(267,1),(287,1),(296,1)}
       241:{3,5,6}:{(210,1),(211,1),(220,1),(259,1),(267,1),(288,1)}
       242:{2,6}:{(212,1),(221,1),(261,1)}
       243:{1,4,6,7}:{(214,1),(215,1),(219,1),(262,1),(268,1)}
       244:{1,3,6}:{(215,1),(216,1),(220,1),(269,1)}
       245:{2,5,7}:{(216,1),(217,1),(264,1),(269,1),(270,1)}
       246:{1,4,7}:{(217,1),(218,1),(265,1),(270,1)}
       247:{1,2,7}:{(218,1),(221,1),(266,1),(314,1)}
       248:{3,6,7}:{(219,1),(220,1),(267,1)}
       249:{2,6,7}:{(222,1),(225,1),(271,1)}
       250:{2,5,6}:{(222,1),(223,1),(226,1),(271,1),(272,1),(313,1)}
       251:{2,4,5}:{(223,1),(224,1),(227,1),(272,1),(273,1)}
       252:{3,4}:{(224,1),(273,1)}
       253:{1,3,5,7}:{(225,1),(226,1),(230,1),(235,1),(271,1),(275,1),(299,1),(306,1),(312,1)}
       254:{1,4,6}:{(226,1),(227,1),(231,1),(272,1),(275,1)}
       255:{1,3,4,5}:{(227,1),(228,1),(232,1),(237,1),(273,1),(276,1),(277,1),(301,1)}
       256:{2,4}:{(228,1),(229,1),(278,1)}
       257:{1,3,5}:{(229,1),(239,1),(278,1),(279,1),(284,1),(305,1)}
       258:{2,4,7}:{(230,1),(231,1),(275,1),(280,1)}
       259:{3,4,6}:{(231,1),(232,1),(241,1),(280,1)}
       260:{1,3,4}:{(233,1),(234,1),(278,1),(281,1),(305,1)}
       261:{2,5}:{(234,1),(242,1),(281,1)}
       262:{1,4,5,7}:{(235,1),(236,1),(240,1),(243,1),(275,1),(282,1)}
       263:{1,3,5,6}:{(236,1),(237,1),(241,1),(244,1),(276,1),(282,1),(283,1)}
       264:{2,5}:{(237,1),(238,1),(284,1)}
       265:{1,4,6}:{(238,1),(239,1),(246,1),(278,1),(284,1),(286,1)}
       266:{1,2,6}:{(239,1),(242,1),(247,1),(279,1),(313,1)}
       267:{3,5,7}:{(240,1),(241,1),(248,1),(280,1),(299,1)}
       268:{1,3,6,7}:{(243,1),(244,1),(248,1),(282,1),(285,1)}
       269:{2,6}:{(244,1),(245,1),(286,1)}
       270:{1,5,7}:{(245,1),(246,1),(284,1),(286,1)}
       271:{2,5,7}:{(249,1),(250,1),(253,1),(287,1),(314,1)}
       272:{2,4,6}:{(250,1),(251,1),(254,1),(287,1),(288,1)}
       273:{3,5}:{(251,1),(252,1),(288,1)}
       274:{2,3,4}:{(252,1),(256,1),(289,1),(290,1),(295,1)}
       275:{1,4,7}:{(253,1),(254,1),(258,1),(287,1)}
       276:{1,3,4,6}:{(254,1),(255,1),(259,1),(263,1),(288,1),(291,1),(292,1),(308,1)}
       277:{2,4,5}:{(255,1),(256,1),(264,1),(289,1),(292,1),(293,1),(309,1)}
       278:{1,4}:{(256,1),(257,1)}
       279:{1,2,5}:{(257,1),(261,1),(266,1),(294,1),(309,1)}
       280:{3,4,7}:{(258,1),(259,1),(267,1)}
       281:{2,4}:{(260,1),(261,1),(295,1)}
       282:{1,3,5,7}:{(262,1),(263,1),(267,1),(268,1),(291,1),(296,1)}
       283:{2,5,6}:{(263,1),(264,1),(269,1),(292,1),(296,1),(297,1)}
       284:{1,5}:{(264,1),(265,1)}
       285:{2,6,7}:{(268,1),(269,1),(296,1),(298,1)}
       286:{1,6}:{(269,1),(270,1)}
       287:{2,4,7}:{(271,1),(272,1),(275,1),(299,1)}
       288:{3,6}:{(272,1),(273,1),(299,1)}
       289:{2,3,5}:{(273,1),(274,1),(277,1),(300,1),(301,1)}
       290:{1,3,4}:{(274,1),(278,1),(301,1),(302,1),(305,1)}
       291:{1,3,4,7}:{(275,1),(276,1),(280,1),(282,1),(299,1),(303,1),(312,1)}
       292:{2,4,6}:{(276,1),(277,1),(283,1),(300,1),(303,1),(304,1),(313,1)}
       293:{1,4,5}:{(277,1),(278,1),(284,1),(301,1),(304,1)}
       294:{1,2,4}:{(278,1),(279,1),(281,1),(302,1),(305,1)}
       295:{2,3}:{(281,1),(305,1)}
       296:{2,5,7}:{(282,1),(283,1),(285,1),(303,1),(306,1)}
       297:{1,5,6}:{(283,1),(284,1),(286,1),(304,1),(306,1)}
       298:{1,6,7}:{(285,1),(286,1),(306,1)}
       299:{3,7}:{(287,1),(288,1)}
       300:{2,3,6}:{(288,1),(289,1),(292,1),(307,1),(308,1)}
       301:{1,3,5}:{(289,1),(290,1),(293,1),(308,1),(309,1)}
       302:{2,4}:{(290,1),(309,1),(310,1)}
       303:{2,4,7}:{(291,1),(292,1),(296,1),(307,1),(311,1),(314,1)}
       304:{1,4,6}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       305:{1,3}:{(294,1),(295,1),(310,1)}
       306:{1,5,7}:{(296,1),(297,1),(298,1),(311,1)}
       307:{2,3,7}:{(299,1),(300,1),(303,1),(312,1)}
       308:{1,3,6}:{(300,1),(301,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(302,1),(313,1)}
       310:{2,3}:{(302,1),(305,1)}
       311:{1,4,7}:{(303,1),(304,1),(306,1),(312,1)}
       312:{1,3,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,6}:{(308,1),(309,1),(314,1)}
       314:{2,7}:{(312,1),(313,1)}

2058 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

2059 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2060 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2061 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(84,1),(150,1),(155,1),(220,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(58,1),(119,1),(252,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(115,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(147,1),(217,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(84,1),(85,1),(93,1),(150,1),(216,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(154,1),(273,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(273,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(149,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(113,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(60,1),(69,1),(78,1),(122,1),(136,1),(192,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(59,1),(67,1),(120,1),(125,1),(132,1),(137,1),(183,1),(186,1),(265,1),(293,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(181,1),(247,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(185,1),(247,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(247,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(115,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(119,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(184,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(82,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(88,1),(102,1),(221,1),(285,1),(304,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(218,1),(220,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(150,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(149,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(55,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(58,1),(59,1),(120,1),(197,1),(249,1),(293,1)}
        37:{2,3,4,5}:{(57,1),(62,1),(143,1),(197,1),(208,1),(257,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(55,1),(63,1),(73,1),(113,1),(127,1),(138,1),(181,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(117,1),(132,1),(183,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(57,1),(65,1),(69,1),(78,1),(192,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(120,1),(187,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(58,1),(252,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(59,1),(72,1),(132,1),(185,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(184,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,6,7}:{(35,1),(81,1),(82,1)}
        56:{2,3,5,6,7}:{(35,1),(39,1),(82,1),(83,1),(93,1),(144,1)}
        57:{2,3,4,6}:{(37,1),(42,1),(84,1),(86,1),(109,1),(172,1),(222,1),(227,1)}
        58:{2,3,6}:{(36,1),(45,1),(88,1),(304,1)}
        59:{2,4,7}:{(36,1),(46,1),(88,1),(232,1)}
        60:{3,4,5,6}:{(81,1),(89,1),(241,1),(305,1)}
        61:{2,3,4,5,7}:{(37,1),(84,1),(90,1),(91,1),(144,1),(176,1),(230,1),(238,1),(299,1),(306,1),(312,1)}
        62:{1,3,4,5}:{(37,1),(86,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(84,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(151,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(85,1),(98,1),(218,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(86,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(152,1),(155,1),(157,1),(172,1),(221,1),(225,1),(236,1),(240,1),(277,1),(279,1),(284,1),(285,1),(304,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(87,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(88,1),(102,1),(103,1),(154,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(219,1),(234,1),(276,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(60,1),(111,1),(209,1),(307,1)}
        82:{2,4,6,7}:{(55,1),(56,1),(111,1),(113,1)}
        83:{1,3,5,6,7}:{(56,1),(64,1),(113,1),(114,1),(127,1),(178,1),(181,1)}
        84:{2,3,4,7}:{(57,1),(65,1),(115,1),(140,1),(204,1),(244,1),(249,1)}
        85:{2,3,6,7}:{(58,1),(68,1),(116,1),(117,1),(249,1),(252,1)}
        86:{1,3,4,6}:{(57,1),(62,1),(69,1),(115,1),(118,1),(188,1),(207,1)}
        87:{2,3,5,6}:{(58,1),(71,1),(116,1),(119,1),(120,1),(187,1),(190,1),(252,1)}
        88:{2,4,6}:{(58,1),(59,1),(72,1),(120,1)}
        89:{2,4,5,6}:{(60,1),(111,1),(121,1),(122,1),(295,1)}
        90:{2,3,4,6}:{(61,1),(121,1),(123,1),(211,1),(258,1),(266,1),(295,1),(314,1)}
        91:{1,3,4,5,7}:{(61,1),(62,1),(115,1),(123,1),(124,1),(178,1),(195,1),(244,1),(257,1),(265,1),(287,1),(296,1)}
        92:{2,4,5}:{(62,1),(118,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(181,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(114,1),(128,1),(129,1),(187,1),(199,1),(242,1),(263,1),(298,1),(310,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(115,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(183,1),(186,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(293,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(116,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(117,1),(132,1),(133,1),(185,1),(206,1),(250,1),(252,1),(262,1),(294,1)}
       100:{2,5,6}:{(69,1),(118,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(188,1),(190,1),(192,1),(252,1),(254,1),(294,1),(311,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(119,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(120,1),(137,1),(190,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(310,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(89,1),(144,1),(145,1),(299,1)}
       112:{2,3,4,6,7}:{(82,1),(84,1),(90,1),(93,1),(144,1),(146,1),(174,1),(234,1),(270,1),(299,1)}
       113:{1,4,6,7}:{(82,1),(83,1),(145,1),(147,1)}
       114:{2,5,6,7}:{(83,1),(147,1),(163,1),(212,1)}
       115:{1,3,4,7}:{(84,1),(86,1),(96,1),(149,1),(218,1),(237,1)}
       116:{2,3,5,7}:{(85,1),(87,1),(98,1),(150,1),(151,1),(220,1)}
       117:{2,4,6,7}:{(85,1),(88,1),(99,1),(150,1),(151,1),(221,1),(274,1),(304,1)}
       118:{2,4,6}:{(86,1),(92,1),(100,1),(149,1),(153,1)}
       119:{2,4,6}:{(87,1),(102,1),(150,1),(154,1),(155,1)}
       120:{2,5}:{(88,1),(103,1)}
       121:{2,3,5,6}:{(89,1),(90,1),(144,1),(156,1),(241,1),(284,1)}
       122:{1,4,5,6}:{(89,1),(145,1),(156,1),(157,1),(279,1)}
       123:{1,3,4,6}:{(90,1),(91,1),(156,1),(158,1),(227,1),(228,1),(279,1),(285,1)}
       124:{2,4,5,7}:{(91,1),(92,1),(149,1),(158,1),(160,1),(212,1),(268,1),(280,1)}
       125:{1,2,4,5}:{(92,1),(152,1),(161,1),(232,1),(240,1),(277,1)}
       126:{2,3,5}:{(92,1),(153,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(147,1),(163,1),(164,1),(165,1),(221,1),(234,1),(285,1),(304,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(148,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(303,1)}
       130:{2,5,7}:{(96,1),(100,1),(149,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(218,1),(220,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(150,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(151,1),(169,1),(170,1),(220,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(152,1),(166,1),(171,1),(277,1),(304,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(153,1),(167,1),(171,1),(172,1),(222,1),(224,1),(276,1),(277,1),(284,1),(304,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(154,1),(168,1),(172,1),(173,1),(227,1),(279,1),(305,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(155,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(276,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(121,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(122,1),(178,1),(179,1),(287,1)}
       146:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(123,1),(127,1),(178,1),(180,1),(181,1),(244,1),(245,1),(262,1),(287,1)}
       147:{2,4,6,7}:{(113,1),(114,1),(179,1),(181,1)}
       148:{2,3,5,6,7}:{(114,1),(116,1),(129,1),(181,1),(182,1),(187,1),(200,1),(243,1),(247,1),(252,1),(263,1),(292,1)}
       149:{2,4,7}:{(115,1),(118,1),(130,1),(184,1)}
       150:{2,4,7}:{(116,1),(119,1),(132,1),(185,1)}
       151:{2,5,7}:{(117,1),(120,1),(133,1),(187,1)}
       152:{1,2,4,6}:{(118,1),(125,1),(134,1),(183,1),(188,1),(207,1),(253,1)}
       153:{2,3,6}:{(118,1),(126,1),(184,1),(188,1)}
       154:{3,4,6}:{(119,1),(185,1),(190,1),(252,1)}
       155:{2,4,5}:{(119,1),(120,1),(137,1),(190,1)}
       156:{1,3,5,6}:{(121,1),(122,1),(123,1),(178,1),(191,1),(192,1),(298,1)}
       157:{2,4,5,6}:{(122,1),(179,1),(191,1),(192,1),(256,1)}
       158:{2,4,6}:{(123,1),(124,1),(191,1),(194,1)}
       159:{1,2,4,5,7}:{(124,1),(125,1),(183,1),(193,1),(195,1),(242,1),(261,1),(265,1),(287,1),(293,1),(296,1),(297,1),(308,1)}
       160:{2,3,5,7}:{(124,1),(126,1),(184,1),(194,1),(195,1),(196,1),(260,1)}
       161:{1,3,5}:{(125,1),(126,1),(188,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(181,1),(200,1),(252,1),(294,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(182,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(183,1),(199,1),(203,1),(293,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(184,1),(200,1),(203,1),(204,1),(249,1),(263,1),(293,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(185,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(186,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(187,1),(206,1),(252,1),(294,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(188,1),(203,1),(207,1),(254,1),(294,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(190,1),(208,1),(254,1),(257,1),(296,1),(311,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(156,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(157,1),(212,1),(213,1),(268,1)}
       180:{2,4,6,7}:{(146,1),(149,1),(158,1),(163,1),(212,1),(215,1),(268,1)}
       181:{3,6,7}:{(147,1),(213,1)}
       182:{2,4,6,7}:{(148,1),(150,1),(165,1),(216,1),(217,1),(221,1),(268,1),(301,1)}
       183:{1,2,4,7}:{(149,1),(152,1),(166,1),(218,1),(237,1),(274,1)}
       184:{2,3,7}:{(149,1),(153,1),(218,1)}
       185:{3,4,7}:{(150,1),(154,1),(220,1)}
       186:{2,4,5,7}:{(150,1),(151,1),(155,1),(169,1),(220,1),(221,1)}
       187:{2,5,6}:{(151,1),(170,1),(221,1),(304,1)}
       188:{1,3,6}:{(152,1),(153,1),(161,1),(218,1),(222,1)}
       189:{2,3,4,6}:{(153,1),(154,1),(162,1),(172,1),(219,1),(223,1),(224,1),(276,1),(305,1)}
       190:{3,5}:{(154,1),(155,1)}
       191:{2,5,6}:{(156,1),(158,1),(212,1)}
       192:{3,5,6}:{(157,1),(213,1),(227,1)}
       193:{1,2,4,6}:{(158,1),(159,1),(225,1),(228,1),(279,1),(281,1),(285,1),(304,1),(313,1)}
       194:{2,3,6}:{(158,1),(160,1),(228,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(218,1),(228,1),(230,1),(231,1),(282,1),(312,1)}
       196:{2,3,4,7}:{(160,1),(162,1),(229,1),(231,1),(268,1)}
       197:{2,3,5}:{(161,1),(222,1),(232,1),(277,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(304,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(276,1),(304,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(216,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(217,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(218,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(220,1),(235,1),(238,1),(239,1),(269,1),(275,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(221,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(224,1),(240,1),(277,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(191,1)}
       213:{3,5,7}:{(179,1),(181,1),(192,1),(244,1)}
       214:{1,2,4,6,7}:{(180,1),(183,1),(193,1),(199,1),(242,1),(245,1),(262,1),(287,1),(290,1)}
       215:{2,3,6,7}:{(180,1),(181,1),(184,1),(194,1),(243,1),(245,1)}
       216:{3,4,6,7}:{(181,1),(182,1),(185,1),(244,1),(247,1),(252,1),(289,1)}
       217:{2,4,5,7}:{(182,1),(202,1),(247,1),(248,1),(263,1)}
       218:{1,3,7}:{(183,1),(184,1),(188,1),(249,1)}
       219:{2,3,4,7}:{(184,1),(185,1),(189,1),(204,1),(250,1),(251,1),(307,1)}
       220:{3,5,7}:{(185,1),(186,1),(190,1),(252,1)}
       221:{2,4,6}:{(186,1),(187,1),(206,1),(252,1)}
       222:{2,3,6}:{(188,1),(197,1),(249,1),(253,1)}
       223:{1,3,4,6}:{(188,1),(189,1),(198,1),(207,1),(250,1),(253,1),(254,1),(294,1)}
       224:{2,3,5}:{(189,1),(190,1),(208,1),(254,1),(311,1)}
       225:{1,2,5,6}:{(191,1),(193,1),(242,1),(255,1),(297,1),(298,1),(310,1)}
       226:{2,3,5,6}:{(191,1),(192,1),(194,1),(243,1),(255,1),(256,1),(260,1)}
       227:{3,4,6}:{(192,1),(244,1),(256,1),(257,1)}
       228:{1,3,6}:{(193,1),(194,1),(195,1),(258,1),(314,1)}
       229:{2,3,4,6}:{(194,1),(196,1),(256,1),(259,1),(260,1)}
       230:{2,3,5,7}:{(195,1),(197,1),(249,1),(258,1),(261,1),(293,1),(297,1)}
       231:{1,3,4,7}:{(195,1),(196,1),(198,1),(259,1),(261,1),(287,1),(307,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(294,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(247,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(248,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(251,1),(263,1),(265,1),(266,1),(293,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(252,1),(264,1),(266,1),(289,1),(294,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(254,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(225,1),(267,1),(283,1),(302,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(226,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(227,1),(268,1)}
       245:{1,3,6,7}:{(214,1),(215,1),(218,1),(228,1),(267,1),(270,1)}
       246:{2,3,4,6,7}:{(215,1),(216,1),(219,1),(229,1),(234,1),(268,1),(271,1),(272,1),(276,1),(301,1)}
       247:{3,5,7}:{(216,1),(217,1),(273,1)}
       248:{2,4,5,6}:{(217,1),(221,1),(236,1),(273,1),(284,1),(301,1)}
       249:{2,3,7}:{(218,1),(222,1),(274,1)}
       250:{1,3,4,7}:{(218,1),(219,1),(223,1),(237,1),(274,1),(275,1)}
       251:{2,3,5,7}:{(219,1),(220,1),(224,1),(238,1),(275,1),(276,1),(312,1)}
       252:{3,6}:{(220,1),(221,1)}
       253:{2,4,6}:{(222,1),(223,1),(232,1),(274,1),(277,1),(304,1)}
       254:{1,3,5}:{(223,1),(224,1),(240,1),(277,1)}
       255:{1,3,5,6}:{(225,1),(226,1),(228,1),(267,1),(278,1),(279,1),(282,1)}
       256:{2,4,6}:{(226,1),(227,1),(268,1),(279,1),(280,1)}
       257:{3,4,5}:{(227,1),(280,1)}
       258:{2,3,6}:{(228,1),(230,1),(281,1),(304,1)}
       259:{1,3,4,6}:{(228,1),(229,1),(231,1),(279,1),(281,1),(282,1),(305,1)}
       260:{2,3,5}:{(229,1),(280,1),(282,1)}
       261:{2,4,7}:{(230,1),(231,1),(232,1),(281,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(273,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(275,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(276,1),(284,1),(285,1),(304,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(255,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(256,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(257,1),(288,1),(289,1)}
       270:{2,3,6,7}:{(245,1),(249,1),(258,1),(286,1),(290,1),(314,1)}
       271:{1,3,4,6,7}:{(245,1),(246,1),(250,1),(259,1),(262,1),(287,1),(290,1),(291,1),(294,1),(307,1),(309,1),(314,1)}
       272:{2,3,5,7}:{(246,1),(247,1),(260,1),(263,1),(288,1),(291,1),(292,1)}
       273:{3,5,6}:{(247,1),(248,1),(252,1),(289,1)}
       274:{2,4,7}:{(249,1),(250,1),(253,1),(293,1)}
       275:{1,3,5,7}:{(250,1),(251,1),(254,1),(265,1),(293,1),(294,1)}
       276:{2,3,6}:{(251,1),(252,1),(266,1),(294,1),(314,1)}
       277:{2,5}:{(253,1),(254,1)}
       278:{2,3,5,6}:{(255,1),(258,1),(286,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       279:{1,4,6}:{(255,1),(256,1),(287,1),(295,1),(296,1)}
       280:{2,4,5}:{(256,1),(257,1),(260,1),(296,1)}
       281:{2,4,6}:{(258,1),(259,1),(261,1),(297,1)}
       282:{1,3,5}:{(259,1),(260,1),(296,1),(297,1),(311,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(294,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(278,1),(299,1),(302,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(279,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(280,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(273,1),(301,1)}
       290:{2,4,6,7}:{(270,1),(271,1),(274,1),(281,1),(299,1),(302,1),(304,1),(313,1)}
       291:{1,3,5,7}:{(271,1),(272,1),(282,1),(283,1),(300,1),(302,1),(303,1),(312,1)}
       292:{2,3,5,6}:{(272,1),(273,1),(276,1),(284,1),(301,1),(303,1)}
       293:{2,5,7}:{(274,1),(275,1),(277,1),(304,1)}
       294:{1,3,6}:{(275,1),(276,1),(285,1),(304,1)}
       295:{2,4,6}:{(278,1),(279,1),(299,1),(305,1),(306,1)}
       296:{1,4,5}:{(279,1),(280,1),(282,1),(306,1)}
       297:{2,5}:{(281,1),(282,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(295,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(296,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{2,5,7}:{(290,1),(291,1),(297,1),(310,1)}
       303:{1,3,5,6}:{(291,1),(292,1),(294,1),(298,1),(309,1),(310,1),(314,1)}
       304:{2,6}:{(293,1),(294,1)}
       305:{3,4,6}:{(295,1),(307,1),(311,1),(314,1)}
       306:{2,4,5}:{(295,1),(296,1),(297,1),(311,1)}
       307:{3,4,7}:{(299,1),(305,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(302,1),(306,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       310:{2,5,6}:{(302,1),(303,1),(304,1),(313,1)}
       311:{3,5}:{(305,1),(306,1)}
       312:{3,5,7}:{(307,1),(308,1),(311,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2062 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(23,1),(44,1),(62,1),(97,1),(108,1),(110,1),(151,1),(157,1),(211,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(28,1),(32,1),(74,1),(79,1),(81,1),(87,1),(129,1),(138,1),(139,1),(183,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(38,1),(85,1),(177,1),(182,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(38,1),(85,1),(86,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(16,1),(43,1),(56,1),(91,1),(107,1),(147,1),(152,1),(154,1),(157,1),(241,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(52,1),(105,1),(108,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(54,1),(56,1),(157,1),(166,1),(167,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(57,1),(114,1),(156,1),(204,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(97,1),(150,1)}
         9:{1,3,5,6,7}:{(3,1),(14,1),(21,1),(22,1),(60,1),(61,1),(114,1),(115,1)}
        10:{2,4,6,7}:{(3,1),(15,1),(20,1),(22,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(173,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(136,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(6,1),(25,1),(28,1),(29,1),(73,1),(74,1),(87,1),(143,1),(173,1),(183,1),(184,1),(185,1),(192,1),(214,1),(235,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(31,1),(32,1),(79,1),(135,1),(138,1)}
        15:{2,4,6}:{(5,1),(8,1),(32,1),(33,1)}
        16:{2,3,6,7}:{(6,1),(28,1),(34,1),(79,1),(130,1),(191,1),(214,1)}
        17:{2,5,7}:{(6,1),(7,1),(31,1),(182,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(32,1),(35,1),(74,1),(128,1)}
        19:{3,4,5,7}:{(8,1),(33,1),(38,1),(125,1),(177,1)}
        20:{2,4,5,7}:{(10,1),(30,1),(37,1),(38,1),(85,1),(192,1)}
        21:{2,5,6,7}:{(9,1),(31,1),(39,1),(85,1),(143,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(32,1),(37,1),(39,1)}
        23:{3,4,6,7}:{(10,1),(33,1),(38,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(93,1),(149,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(56,1),(106,1)}
        28:{1,3,6,7}:{(13,1),(16,1),(44,1),(49,1),(101,1),(158,1),(206,1),(211,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(17,1),(45,1),(48,1),(49,1),(114,1),(169,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(15,1),(20,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{2,5,6}:{(14,1),(17,1),(54,1),(166,1)}
        32:{1,4,6}:{(14,1),(15,1),(18,1),(54,1)}
        33:{3,4,6}:{(15,1),(19,1),(52,1)}
        34:{2,3,5,7}:{(16,1),(17,1),(49,1),(53,1),(56,1),(57,1),(227,1),(241,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(54,1),(56,1),(57,1),(106,1)}
        36:{1,3,4,5,7}:{(18,1),(19,1),(55,1),(57,1),(58,1),(60,1),(102,1),(111,1),(112,1),(156,1),(161,1),(168,1),(207,1),(211,1),(233,1)}
        37:{1,4,5,7}:{(20,1),(22,1),(51,1),(59,1),(60,1),(114,1),(168,1)}
        38:{3,5,7}:{(20,1),(23,1),(52,1),(211,1)}
        39:{2,4,6,7}:{(21,1),(22,1),(54,1),(59,1),(61,1)}
        40:{1,3,4,6,7}:{(22,1),(23,1),(55,1),(60,1),(61,1),(62,1),(112,1),(115,1),(168,1),(211,1)}
        41:{2,3,5,6,7}:{(24,1),(63,1),(64,1),(117,1),(171,1),(172,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(176,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(143,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(81,1),(117,1),(136,1)}
        48:{1,2,5,6}:{(29,1),(31,1),(66,1),(72,1),(73,1),(135,1),(176,1),(182,1),(184,1),(188,1),(217,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(34,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(35,1),(70,1),(73,1),(74,1),(75,1),(83,1),(127,1),(128,1),(131,1),(140,1),(181,1),(182,1),(185,1),(192,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(32,1),(37,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(33,1),(38,1),(177,1),(224,1)}
        53:{2,3,5,6}:{(31,1),(34,1),(72,1),(78,1),(79,1),(130,1),(136,1),(182,1),(217,1),(237,1),(238,1)}
        54:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        55:{1,3,4,6}:{(32,1),(33,1),(36,1),(77,1),(79,1),(80,1),(133,1),(138,1),(187,1),(224,1)}
        56:{2,4,7}:{(34,1),(74,1),(78,1),(81,1)}
        57:{3,5,7}:{(35,1),(79,1),(81,1),(136,1)}
        58:{2,4,5,7}:{(36,1),(80,1),(82,1),(83,1),(85,1),(131,1),(140,1),(141,1),(182,1),(186,1),(192,1),(223,1)}
        59:{2,4,5,7}:{(37,1),(39,1),(76,1),(84,1),(85,1),(141,1)}
        60:{1,3,5,7}:{(37,1),(38,1),(40,1),(77,1),(84,1),(85,1)}
        61:{3,6,7}:{(39,1),(79,1),(84,1)}
        62:{2,4,6,7}:{(40,1),(80,1),(85,1),(86,1),(87,1),(141,1),(143,1),(192,1)}
        63:{1,3,5,6,7}:{(41,1),(42,1),(89,1),(90,1),(145,1),(146,1),(195,1),(196,1)}
        64:{2,4,6,7}:{(41,1),(43,1),(88,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(43,1),(88,1),(92,1),(93,1),(106,1),(149,1),(229,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(93,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(169,1),(211,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(197,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(53,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(54,1),(95,1),(100,1),(101,1),(109,1),(153,1),(157,1),(166,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(56,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(57,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(211,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(54,1),(59,1),(104,1),(105,1),(106,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(55,1),(60,1),(104,1),(105,1),(156,1)}
        78:{2,4,6}:{(53,1),(56,1),(100,1),(106,1),(107,1),(243,1)}
        79:{3,6}:{(54,1),(57,1)}
        80:{2,4,6}:{(55,1),(58,1),(105,1),(108,1),(109,1),(166,1)}
        81:{3,4,7}:{(56,1),(57,1),(107,1),(241,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(108,1),(110,1),(111,1),(164,1),(211,1),(233,1)}
        83:{1,4,5,7}:{(58,1),(109,1),(111,1),(114,1),(159,1),(168,1),(204,1),(207,1)}
        84:{3,5,7}:{(59,1),(61,1),(104,1),(112,1)}
        85:{2,5,7}:{(60,1),(62,1),(105,1),(114,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(108,1),(113,1),(115,1),(211,1)}
        87:{1,4,6,7}:{(62,1),(109,1),(114,1),(115,1),(168,1)}
        88:{2,4,5,7}:{(64,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{2,5,6,7}:{(63,1),(66,1),(118,1),(171,1),(214,1)}
        90:{1,4,6,7}:{(63,1),(64,1),(67,1),(116,1),(118,1)}
        91:{3,4,6,7}:{(64,1),(68,1),(117,1)}
        92:{1,4,5,6}:{(65,1),(67,1),(116,1),(120,1),(121,1),(128,1),(176,1),(216,1)}
        93:{3,5,6}:{(65,1),(68,1),(117,1),(136,1),(237,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(121,1),(123,1),(124,1),(174,1),(179,1),(216,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(215,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(78,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(79,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(81,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(140,1),(181,1),(182,1),(191,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(79,1),(84,1),(133,1),(136,1)}
       105:{2,5,6}:{(77,1),(80,1),(85,1),(135,1),(182,1)}
       106:{2,4,5}:{(78,1),(128,1),(136,1),(182,1)}
       107:{3,4,6}:{(78,1),(79,1),(81,1),(136,1),(237,1),(244,1)}
       108:{2,3,6}:{(79,1),(80,1),(82,1),(138,1),(224,1)}
       109:{1,4,6}:{(80,1),(83,1),(135,1),(138,1)}
       110:{2,3,4,7}:{(81,1),(82,1),(131,1),(137,1),(139,1),(141,1),(220,1),(240,1)}
       111:{1,3,5,7}:{(82,1),(83,1),(138,1),(139,1),(140,1),(189,1)}
       112:{3,4,7}:{(84,1),(133,1),(141,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(86,1),(134,1),(141,1),(142,1)}
       114:{1,5,7}:{(85,1),(87,1),(135,1)}
       115:{1,3,6,7}:{(86,1),(87,1),(138,1),(142,1),(143,1)}
       116:{1,4,5,7}:{(88,1),(90,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(91,1),(93,1),(241,1)}
       118:{2,4,6,7}:{(89,1),(90,1),(95,1),(144,1),(146,1)}
       119:{1,3,4,6,7}:{(90,1),(91,1),(96,1),(145,1),(146,1),(147,1),(193,1),(196,1),(226,1),(241,1)}
       120:{2,4,5,6}:{(92,1),(95,1),(144,1),(148,1),(149,1),(150,1),(198,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(156,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(149,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(211,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(106,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(107,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(166,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(112,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(108,1),(113,1),(162,1),(163,1),(164,1)}
       135:{1,5,6}:{(105,1),(109,1),(114,1),(204,1)}
       136:{3,5}:{(106,1),(107,1)}
       137:{2,3,4,6}:{(107,1),(108,1),(110,1),(157,1),(162,1),(164,1),(165,1),(231,1),(243,1)}
       138:{1,3,6}:{(108,1),(109,1),(111,1),(166,1)}
       139:{1,3,4,7}:{(110,1),(111,1),(159,1),(165,1),(167,1),(168,1),(206,1),(211,1)}
       140:{2,5,7}:{(111,1),(166,1),(167,1),(209,1)}
       141:{2,4,7}:{(112,1),(113,1),(162,1),(168,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(115,1),(163,1),(168,1),(169,1),(211,1)}
       143:{2,6,7}:{(115,1),(166,1),(169,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,6,7}:{(118,1),(123,1),(170,1)}
       147:{2,4,6,7}:{(119,1),(124,1),(171,1),(172,1),(173,1),(212,1),(214,1),(235,1)}
       148:{3,5,6}:{(120,1),(123,1),(170,1),(174,1),(177,1)}
       149:{2,5,6}:{(121,1),(124,1),(171,1),(176,1),(182,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(176,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(191,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(136,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(140,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(136,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(141,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(138,1),(142,1),(187,1),(188,1),(189,1),(224,1)}
       164:{2,3,5}:{(136,1),(137,1),(182,1),(186,1),(189,1)}
       165:{1,3,4,6}:{(137,1),(138,1),(139,1),(183,1),(187,1),(189,1),(190,1),(222,1),(224,1),(239,1),(240,1)}
       166:{2,6}:{(138,1),(140,1)}
       167:{2,4,7}:{(139,1),(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(187,1),(192,1)}
       169:{2,5,7}:{(142,1),(143,1),(188,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{2,3,6,7}:{(146,1),(147,1),(152,1),(194,1),(196,1),(241,1)}
       173:{1,4,6,7}:{(147,1),(153,1),(195,1),(196,1),(226,1)}
       174:{3,4,6}:{(148,1),(193,1),(197,1),(198,1)}
       175:{2,3,5,6}:{(148,1),(149,1),(152,1),(194,1),(198,1),(199,1),(200,1)}
       176:{1,5,6}:{(149,1),(153,1),(195,1),(204,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(198,1),(200,1),(201,1),(210,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(166,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(167,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(164,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(168,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(166,1),(169,1),(208,1),(209,1)}
       189:{1,3,5}:{(164,1),(165,1),(204,1),(207,1),(209,1),(233,1)}
       190:{2,4,6}:{(165,1),(166,1),(167,1),(209,1),(210,1),(234,1)}
       191:{2,3,7}:{(167,1),(206,1),(210,1),(211,1)}
       192:{2,4,7}:{(168,1),(169,1),(208,1),(211,1)}
       193:{3,4,7}:{(170,1),(174,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(172,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(173,1),(176,1)}
       196:{1,3,6,7}:{(172,1),(173,1),(179,1),(213,1),(214,1)}
       197:{3,4,5}:{(174,1),(177,1),(215,1),(240,1)}
       198:{2,4,6}:{(174,1),(175,1),(212,1),(215,1),(216,1)}
       199:{1,3,5,6}:{(175,1),(176,1),(179,1),(213,1),(216,1),(217,1),(218,1),(237,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(215,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(216,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(190,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(191,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(189,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(192,1),(223,1),(224,1)}
       209:{2,5}:{(189,1),(190,1)}
       210:{2,3,6}:{(190,1),(191,1),(222,1),(224,1),(225,1)}
       211:{3,7}:{(192,1),(224,1)}
       212:{2,4,7}:{(193,1),(194,1),(198,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(196,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,6,7}:{(196,1),(202,1),(227,1)}
       215:{2,4,5}:{(197,1),(198,1),(200,1),(228,1),(234,1)}
       216:{1,4,6}:{(198,1),(199,1),(226,1),(228,1),(229,1)}
       217:{2,5,6}:{(199,1),(202,1),(227,1),(229,1),(230,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(209,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(210,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(211,1),(233,1)}
       225:{2,3,5}:{(209,1),(210,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(216,1),(235,1)}
       227:{2,5,7}:{(213,1),(214,1),(217,1),(235,1)}
       228:{1,4,5}:{(215,1),(216,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(216,1),(217,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2063 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(124,1),(177,1),(178,1),(187,1),(206,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(29,1),(238,1),(239,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(37,1),(74,1),(88,1),(145,1),(163,1),(165,1),(232,1),(251,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(220,1),(231,1)}
         4:{1,2,4,7}:{(1,1),(11,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(46,1),(283,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(122,1),(297,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(58,1),(59,1),(122,1),(208,1),(295,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(46,1),(107,1),(123,1),(277,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(64,1),(99,1),(178,1),(206,1),(210,1),(264,1),(276,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(263,1),(275,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(23,1),(24,1),(25,1),(145,1),(324,1)}
        12:{1,2,3,6,7}:{(5,1),(26,1),(27,1),(72,1),(149,1),(236,1),(239,1),(325,1),(326,1),(383,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(24,1),(28,1),(29,1),(66,1),(74,1),(78,1),(145,1),(232,1),(235,1),(238,1),(322,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(25,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(27,1),(29,1),(30,1),(73,1),(75,1),(80,1),(149,1),(153,1),(241,1),(242,1),(323,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(33,1),(34,1),(253,1),(335,1)}
        17:{2,3,4,6}:{(6,1),(25,1),(33,1),(34,1),(87,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(36,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(72,1),(92,1),(145,1),(163,1),(167,1),(251,1),(256,1),(319,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(36,1),(37,1),(38,1),(91,1),(318,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(40,1),(306,1),(317,1)}
        22:{2,4,5,6}:{(10,1),(38,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,3,5,7}:{(11,1),(13,1),(16,1),(42,1),(46,1),(47,1),(281,1),(359,1)}
        25:{1,3,4,6}:{(11,1),(14,1),(17,1),(43,1),(46,1),(47,1),(107,1)}
        26:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(110,1),(194,1),(276,1),(283,1),(360,1)}
        27:{1,2,3,5,7}:{(12,1),(15,1),(48,1),(49,1),(106,1),(111,1),(195,1),(285,1),(359,1),(401,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(46,1),(51,1),(97,1),(107,1),(277,1),(283,1)}
        29:{1,2,5}:{(14,1),(47,1)}
        30:{1,2,4,6}:{(15,1),(49,1),(52,1),(53,1),(107,1),(189,1),(286,1),(402,1)}
        31:{2,3,4,5,7}:{(16,1),(44,1),(54,1),(58,1),(117,1),(121,1),(122,1),(180,1),(187,1),(267,1)}
        32:{2,3,4,6,7}:{(17,1),(45,1),(55,1),(56,1),(112,1),(120,1),(122,1),(192,1),(203,1),(276,1),(399,1),(400,1),(422,1)}
        33:{2,3,6}:{(16,1),(18,1),(46,1)}
        34:{2,3,5}:{(17,1),(47,1),(58,1)}
        35:{2,4,6,7}:{(18,1),(19,1),(56,1),(59,1),(122,1),(295,1),(300,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(21,1),(59,1),(62,1),(126,1),(354,1)}
        38:{1,4,5,6}:{(20,1),(22,1),(60,1),(62,1),(107,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(64,1),(132,1),(210,1),(213,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(62,1),(64,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(263,1)}
        42:{2,3,5,7}:{(23,1),(24,1),(66,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(25,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,5,7}:{(24,1),(31,1),(66,1),(70,1),(74,1),(139,1),(140,1),(145,1),(222,1),(224,1),(232,1),(311,1)}
        45:{1,3,4,6,7}:{(25,1),(26,1),(32,1),(67,1),(71,1),(72,1),(77,1),(143,1),(145,1),(149,1),(151,1),(237,1),(319,1),(383,1),(384,1),(415,1)}
        46:{1,3,6}:{(24,1),(28,1),(33,1),(68,1)}
        47:{1,3,5}:{(25,1),(29,1),(34,1),(69,1),(74,1)}
        48:{1,2,5,7}:{(26,1),(29,1),(71,1),(75,1),(317,1),(385,1)}
        49:{1,2,4,7}:{(27,1),(30,1),(77,1),(145,1),(233,1),(415,1)}
        50:{1,2,4,6,7}:{(28,1),(35,1),(72,1),(78,1),(133,1),(145,1),(319,1),(322,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(36,1),(73,1),(78,1),(134,1),(318,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(74,1),(80,1),(147,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(77,1),(80,1),(81,1),(149,1),(323,1),(324,1)}
        54:{2,3,4,6}:{(31,1),(33,1),(70,1),(83,1),(87,1),(161,1),(231,1)}
        55:{2,3,5,7}:{(32,1),(34,1),(71,1),(84,1),(85,1),(246,1),(317,1),(414,1)}
        56:{2,3,6,7}:{(33,1),(35,1),(72,1),(86,1),(167,1),(335,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(36,1),(73,1),(86,1),(87,1),(91,1)}
        58:{2,4,5}:{(34,1),(74,1),(87,1),(88,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,4,5,6}:{(36,1),(38,1),(87,1),(90,1),(91,1)}
        61:{1,3,5,6,7}:{(37,1),(39,1),(89,1),(92,1),(167,1),(256,1),(258,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(40,1),(90,1),(92,1),(145,1)}
        63:{1,3,4,5,6}:{(38,1),(41,1),(91,1),(93,1),(94,1),(146,1),(169,1),(229,1),(245,1),(329,1),(387,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(222,1),(306,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(97,1),(101,1),(173,1),(178,1),(269,1),(349,1)}
        67:{2,3,4,6,7}:{(43,1),(45,1),(98,1),(99,1),(112,1),(176,1),(178,1),(192,1),(264,1),(276,1),(365,1),(366,1),(406,1)}
        68:{2,3,6}:{(42,1),(46,1),(97,1)}
        69:{2,3,5}:{(43,1),(47,1),(101,1)}
        70:{1,3,4,6}:{(44,1),(46,1),(54,1),(97,1),(103,1),(107,1),(179,1),(277,1)}
        71:{1,3,5,7}:{(45,1),(47,1),(48,1),(55,1),(98,1),(104,1),(105,1),(354,1),(403,1)}
        72:{1,3,6,7}:{(46,1),(50,1),(56,1),(99,1),(106,1),(359,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(51,1),(57,1),(100,1),(106,1),(107,1)}
        74:{1,4,5}:{(47,1),(58,1),(101,1),(107,1)}
        75:{1,2,5,6}:{(48,1),(104,1),(110,1),(275,1),(283,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(52,1),(105,1),(110,1),(111,1),(187,1)}
        77:{1,3,4,7}:{(49,1),(53,1),(111,1),(112,1),(359,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(59,1),(106,1),(173,1),(354,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(60,1),(107,1),(110,1),(113,1),(114,1),(131,1),(174,1),(184,1),(189,1),(212,1),(273,1),(275,1),(280,1),(341,1),(355,1),(362,1),(396,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(112,1),(115,1),(116,1),(189,1),(192,1),(296,1),(297,1),(350,1),(351,1)}
        82:{2,3,4,6,7}:{(54,1),(56,1),(102,1),(117,1),(122,1),(199,1),(203,1),(267,1),(276,1),(339,1)}
        83:{2,3,5,6}:{(54,1),(103,1),(117,1),(118,1),(202,1),(275,1)}
        84:{2,3,5,6}:{(55,1),(104,1),(120,1),(192,1),(202,1),(275,1)}
        85:{2,4,5,7}:{(55,1),(58,1),(105,1),(120,1),(121,1),(122,1),(422,1),(423,1)}
        86:{2,3,5,7}:{(56,1),(57,1),(59,1),(106,1),(122,1),(126,1)}
        87:{2,4,6}:{(57,1),(58,1),(107,1),(122,1),(123,1)}
        88:{3,4,5}:{(58,1),(123,1)}
        89:{2,5,6,7}:{(59,1),(61,1),(125,1),(300,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(62,1),(122,1),(125,1),(126,1)}
        91:{3,5,6}:{(60,1),(123,1),(126,1)}
        92:{1,4,6,7}:{(61,1),(62,1),(64,1),(125,1)}
        93:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(126,1),(129,1),(130,1),(188,1),(211,1),(274,1),(288,1),(361,1),(404,1)}
        94:{2,4,5,6}:{(63,1),(127,1),(130,1),(131,1),(189,1),(212,1),(275,1)}
        95:{2,4,5,6,7}:{(64,1),(128,1),(132,1),(213,1),(262,1),(367,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(132,1)}
        97:{2,4,6}:{(66,1),(68,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(69,1),(71,1),(135,1),(136,1),(306,1),(317,1),(390,1)}
        99:{2,3,6,7}:{(68,1),(72,1),(133,1),(137,1),(302,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(137,1),(138,1),(217,1)}
       101:{2,4,5}:{(69,1),(74,1),(138,1),(139,1)}
       102:{1,3,4,6,7}:{(70,1),(72,1),(82,1),(133,1),(140,1),(145,1),(222,1),(225,1),(302,1),(311,1),(319,1),(370,1)}
       103:{1,3,5,6}:{(70,1),(83,1),(134,1),(140,1),(141,1),(217,1),(318,1)}
       104:{1,3,5,6}:{(71,1),(75,1),(84,1),(135,1),(143,1),(149,1),(237,1),(318,1)}
       105:{1,4,5,7}:{(71,1),(74,1),(85,1),(136,1),(143,1),(145,1),(415,1),(416,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(78,1),(86,1),(137,1),(145,1)}
       107:{1,4,6}:{(73,1),(74,1),(87,1),(138,1),(145,1)}
       108:{1,3,4,5}:{(74,1),(80,1),(88,1),(139,1),(146,1),(147,1),(416,1),(418,1),(426,1)}
       109:{1,2,5,6,7}:{(75,1),(78,1),(89,1),(142,1),(148,1),(215,1),(258,1),(317,1),(325,1),(337,1),(380,1),(381,1),(409,1)}
       110:{1,2,4,6}:{(75,1),(76,1),(143,1),(149,1),(231,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(80,1),(149,1),(150,1)}
       112:{2,3,4,7}:{(77,1),(81,1),(150,1),(151,1),(233,1),(335,1),(379,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(90,1),(145,1),(148,1),(152,1),(172,1),(216,1),(228,1),(233,1),(257,1),(316,1),(317,1),(322,1),(371,1),(381,1),(386,1),(410,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(91,1),(146,1),(149,1),(152,1),(153,1),(217,1),(323,1),(387,1),(411,1)}
       115:{2,3,5}:{(80,1),(81,1),(147,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(151,1),(154,1),(155,1),(234,1),(237,1),(323,1),(324,1)}
       117:{2,3,5,7}:{(82,1),(83,1),(140,1),(157,1),(246,1),(317,1)}
       118:{2,4,5,6}:{(83,1),(87,1),(141,1),(157,1),(158,1)}
       119:{2,3,5,6,7}:{(84,1),(86,1),(89,1),(142,1),(160,1),(167,1),(236,1),(246,1),(317,1),(409,1),(412,1),(424,1)}
       120:{2,4,6}:{(84,1),(85,1),(143,1),(161,1)}
       121:{3,4,5,7}:{(85,1),(88,1),(161,1),(163,1),(246,1),(425,1),(426,1)}
       122:{2,4,7}:{(86,1),(87,1),(145,1),(163,1)}
       123:{3,4,6}:{(87,1),(88,1),(91,1),(163,1)}
       124:{2,3,4,5}:{(88,1),(147,1),(164,1),(165,1),(313,1),(418,1)}
       125:{2,4,6,7}:{(89,1),(90,1),(92,1),(167,1)}
       126:{3,5,7}:{(90,1),(91,1),(163,1),(167,1)}
       127:{2,3,5,6}:{(91,1),(94,1),(164,1),(168,1),(169,1),(387,1)}
       128:{1,4,5,6,7}:{(92,1),(95,1),(166,1),(170,1),(228,1),(258,1),(336,1)}
       129:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(167,1),(170,1),(171,1),(254,1),(256,1),(336,1),(391,1)}
       130:{2,4,5,7}:{(93,1),(94,1),(168,1),(171,1),(172,1),(233,1),(257,1),(317,1)}
       131:{1,4,5,6}:{(94,1),(169,1),(172,1),(234,1),(318,1)}
       132:{3,5,6,7}:{(95,1),(96,1),(306,1),(391,1)}
       133:{2,4,6,7}:{(97,1),(99,1),(102,1),(173,1),(178,1),(349,1),(394,1)}
       134:{2,5,6}:{(97,1),(103,1),(173,1)}
       135:{2,3,5,6}:{(98,1),(104,1),(176,1),(192,1),(263,1),(275,1)}
       136:{2,4,5,7}:{(98,1),(101,1),(105,1),(176,1),(177,1),(178,1),(406,1),(407,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(173,1),(178,1),(260,1)}
       138:{2,4,6}:{(100,1),(101,1),(107,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,7}:{(102,1),(103,1),(117,1),(173,1),(182,1),(260,1),(354,1)}
       141:{1,4,5,6}:{(103,1),(107,1),(118,1),(174,1),(182,1)}
       142:{1,3,5,6,7}:{(104,1),(106,1),(109,1),(119,1),(175,1),(185,1),(191,1),(274,1),(282,1),(354,1),(401,1)}
       143:{1,4,6}:{(104,1),(105,1),(120,1),(176,1)}
       144:{1,3,4,5,7}:{(105,1),(108,1),(111,1),(121,1),(177,1),(186,1),(187,1),(188,1),(274,1)}
       145:{1,4,7}:{(106,1),(107,1),(122,1),(178,1)}
       146:{1,3,4,6}:{(107,1),(108,1),(114,1),(123,1),(179,1),(188,1),(189,1),(402,1),(405,1),(421,1)}
       147:{2,4,5}:{(108,1),(115,1),(189,1),(190,1)}
       148:{1,2,4,6,7}:{(109,1),(110,1),(113,1),(125,1),(185,1),(191,1),(214,1),(259,1),(276,1),(300,1),(353,1),(367,1),(394,1),(419,1)}
       149:{1,3,6}:{(110,1),(111,1),(192,1)}
       150:{2,3,5,7}:{(111,1),(112,1),(115,1),(187,1),(192,1),(193,1)}
       151:{1,3,4,7}:{(112,1),(116,1),(193,1),(194,1),(279,1),(359,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(126,1),(188,1),(191,1),(195,1),(260,1),(359,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(189,1),(192,1),(195,1),(196,1),(212,1),(275,1),(296,1),(341,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(190,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(194,1),(197,1),(198,1),(283,1),(286,1)}
       156:{2,3,5,6,7}:{(117,1),(181,1),(199,1),(287,1),(339,1),(352,1)}
       157:{2,4,5,7}:{(117,1),(118,1),(122,1),(182,1),(199,1),(200,1)}
       158:{3,4,5,6}:{(118,1),(123,1),(200,1),(202,1)}
       159:{2,4,5,6}:{(120,1),(184,1),(201,1),(202,1),(275,1)}
       160:{2,4,6,7}:{(119,1),(120,1),(122,1),(185,1),(201,1),(203,1),(422,1)}
       161:{3,4,6}:{(120,1),(121,1),(202,1)}
       162:{2,3,4,5,7}:{(121,1),(124,1),(187,1),(204,1),(205,1),(206,1),(290,1),(348,1),(422,1),(423,1)}
       163:{3,4,7}:{(122,1),(123,1),(126,1)}
       164:{2,3,4,6}:{(123,1),(124,1),(127,1),(189,1),(206,1),(207,1),(350,1),(405,1)}
       165:{1,3,4,5}:{(124,1),(190,1),(207,1),(208,1),(281,1)}
       166:{2,4,5,6,7}:{(125,1),(128,1),(201,1),(209,1),(213,1),(298,1)}
       167:{3,6,7}:{(125,1),(126,1)}
       168:{2,3,5,7}:{(126,1),(127,1),(130,1),(206,1),(210,1),(211,1),(404,1)}
       169:{1,3,5,6}:{(127,1),(131,1),(207,1),(211,1),(212,1)}
       170:{1,3,5,6,7}:{(128,1),(129,1),(132,1),(209,1),(213,1),(274,1)}
       171:{2,4,6,7}:{(129,1),(130,1),(210,1),(213,1),(214,1),(300,1)}
       172:{1,4,5,7}:{(130,1),(131,1),(211,1),(214,1),(279,1),(354,1)}
       173:{2,5,7}:{(133,1),(134,1),(140,1)}
       174:{2,4,5,6}:{(134,1),(138,1),(141,1),(216,1),(217,1)}
       175:{2,3,5,6,7}:{(135,1),(137,1),(142,1),(215,1),(219,1),(236,1),(302,1),(306,1),(317,1),(337,1),(388,1),(391,1)}
       176:{2,4,6}:{(135,1),(136,1),(143,1),(220,1)}
       177:{3,4,5,7}:{(136,1),(139,1),(220,1),(222,1),(306,1),(417,1),(418,1)}
       178:{2,4,7}:{(137,1),(138,1),(145,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(217,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(147,1),(223,1),(224,1),(253,1),(426,1)}
       181:{1,3,5,6,7}:{(140,1),(156,1),(215,1),(225,1),(302,1),(370,1),(380,1)}
       182:{1,4,5,7}:{(140,1),(141,1),(145,1),(157,1),(216,1),(225,1)}
       183:{1,3,4,5,6}:{(141,1),(146,1),(158,1),(217,1),(226,1),(227,1),(229,1),(304,1),(305,1),(373,1),(411,1)}
       184:{1,4,5,6}:{(143,1),(159,1),(218,1),(228,1),(229,1),(318,1)}
       185:{1,4,6,7}:{(142,1),(143,1),(145,1),(160,1),(219,1),(228,1),(415,1)}
       186:{1,3,4,6}:{(143,1),(144,1),(149,1),(161,1),(220,1),(229,1),(231,1)}
       187:{2,4,5,7}:{(144,1),(147,1),(150,1),(231,1),(232,1),(233,1),(317,1)}
       188:{1,3,4,7}:{(145,1),(146,1),(152,1),(163,1),(222,1),(233,1),(415,1),(417,1),(425,1)}
       189:{2,4,6}:{(146,1),(147,1),(153,1),(233,1),(234,1)}
       190:{1,4,5}:{(147,1),(154,1),(234,1)}
       191:{1,3,6,7}:{(148,1),(149,1),(152,1),(167,1),(236,1),(302,1),(391,1),(424,1)}
       192:{2,3,6}:{(149,1),(150,1),(231,1),(237,1)}
       193:{1,3,5,7}:{(150,1),(151,1),(154,1),(232,1),(237,1),(238,1)}
       194:{1,2,4,7}:{(151,1),(155,1),(238,1),(239,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(233,1),(236,1),(240,1),(257,1),(317,1),(335,1),(371,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(234,1),(237,1),(240,1),(241,1),(318,1),(323,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(239,1),(242,1),(323,1)}
       199:{2,4,6,7}:{(156,1),(157,1),(225,1),(244,1)}
       200:{3,4,5,7}:{(157,1),(158,1),(163,1),(244,1),(246,1)}
       201:{2,4,5,7}:{(159,1),(160,1),(228,1),(246,1),(317,1)}
       202:{3,5,6}:{(159,1),(161,1),(246,1)}
       203:{3,4,6,7}:{(160,1),(161,1),(163,1),(167,1),(246,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(161,1),(162,1),(231,1),(247,1),(249,1),(377,1),(413,1)}
       205:{1,3,4,5,7}:{(162,1),(165,1),(232,1),(249,1),(250,1),(251,1),(321,1),(330,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,4,7}:{(163,1),(164,1),(168,1),(233,1),(251,1),(379,1),(417,1)}
       207:{1,3,4,6}:{(164,1),(165,1),(169,1),(234,1),(251,1),(252,1),(323,1)}
       208:{2,4,5}:{(165,1),(252,1),(253,1)}
       209:{3,5,6,7}:{(166,1),(167,1),(246,1),(254,1)}
       210:{2,3,6,7}:{(167,1),(168,1),(171,1),(256,1),(391,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(251,1),(256,1),(257,1)}
       212:{2,5,6}:{(169,1),(252,1),(257,1)}
       213:{2,5,6,7}:{(170,1),(171,1),(258,1),(317,1)}
       214:{1,4,6,7}:{(171,1),(172,1),(256,1),(258,1)}
       215:{2,5,6,7}:{(173,1),(181,1),(259,1),(394,1)}
       216:{2,4,5,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(260,1)}
       217:{3,5,6}:{(174,1),(179,1),(260,1)}
       218:{2,4,5,6}:{(176,1),(184,1),(262,1),(263,1),(275,1)}
       219:{2,4,6,7}:{(175,1),(176,1),(178,1),(185,1),(262,1),(264,1),(406,1)}
       220:{3,4,6}:{(176,1),(177,1),(263,1)}
       221:{2,3,4,5,7}:{(177,1),(180,1),(187,1),(265,1),(266,1),(267,1),(294,1),(344,1),(406,1),(407,1)}
       222:{3,4,7}:{(178,1),(179,1),(260,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(189,1),(261,1),(267,1),(268,1),(296,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(190,1),(268,1),(269,1),(281,1)}
       225:{1,4,6,7}:{(181,1),(182,1),(199,1),(259,1)}
       226:{1,3,4,5,7}:{(182,1),(183,1),(188,1),(200,1),(260,1),(271,1),(272,1),(274,1),(340,1),(342,1),(395,1),(420,1)}
       227:{2,4,5,6}:{(183,1),(189,1),(261,1),(272,1),(273,1),(275,1),(341,1)}
       228:{1,4,5,7}:{(184,1),(185,1),(201,1),(262,1),(274,1),(354,1)}
       229:{1,3,5,6}:{(184,1),(186,1),(202,1),(263,1),(274,1),(275,1)}
       230:{1,3,4,6,7}:{(185,1),(186,1),(188,1),(191,1),(203,1),(264,1),(274,1),(276,1)}
       231:{2,4,6}:{(186,1),(187,1),(192,1),(275,1),(277,1)}
       232:{1,4,5,7}:{(187,1),(190,1),(193,1),(277,1),(279,1),(354,1)}
       233:{2,4,7}:{(188,1),(189,1),(195,1),(279,1)}
       234:{1,4,6}:{(189,1),(190,1),(196,1),(279,1)}
       235:{1,2,4,5}:{(190,1),(197,1),(208,1),(269,1),(280,1),(281,1),(286,1)}
       236:{2,3,6,7}:{(191,1),(192,1),(195,1),(276,1),(282,1),(300,1),(394,1)}
       237:{1,3,6}:{(192,1),(193,1),(277,1),(283,1)}
       238:{1,2,5,7}:{(193,1),(194,1),(197,1),(283,1)}
       239:{1,2,3,7}:{(194,1),(198,1),(359,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(279,1),(282,1),(285,1),(354,1),(359,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(212,1),(280,1),(283,1),(285,1),(341,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(281,1),(286,1)}
       243:{2,4,5,6,7}:{(199,1),(201,1),(270,1),(287,1),(352,1),(419,1)}
       244:{3,4,6,7}:{(199,1),(200,1),(287,1)}
       245:{3,4,5,6}:{(202,1),(288,1),(289,1),(421,1)}
       246:{3,5,7}:{(201,1),(202,1),(203,1)}
       247:{2,3,5,6}:{(202,1),(204,1),(275,1),(289,1),(290,1),(291,1)}
       248:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(276,1),(290,1),(292,1),(298,1),(399,1),(422,1)}
       249:{1,3,4,6}:{(204,1),(205,1),(277,1),(291,1),(293,1),(357,1),(402,1),(405,1)}
       250:{2,4,5,7}:{(205,1),(208,1),(293,1),(294,1),(295,1),(363,1),(406,1),(407,1)}
       251:{1,3,4,7}:{(206,1),(207,1),(211,1),(279,1),(295,1),(359,1)}
       252:{2,4,6}:{(207,1),(208,1),(212,1),(295,1),(296,1)}
       253:{2,3,5}:{(208,1),(281,1),(296,1),(297,1)}
       254:{3,4,6,7}:{(209,1),(288,1),(298,1)}
       255:{2,3,5,6,7}:{(209,1),(210,1),(213,1),(290,1),(298,1),(299,1)}
       256:{1,3,6,7}:{(210,1),(211,1),(214,1),(300,1)}
       257:{2,5,7}:{(211,1),(212,1),(295,1),(300,1)}
       258:{1,5,6,7}:{(213,1),(214,1),(354,1)}
       259:{2,4,6,7}:{(215,1),(216,1),(225,1),(302,1)}
       260:{3,5,7}:{(216,1),(217,1),(222,1),(302,1)}
       261:{2,3,5,6}:{(217,1),(223,1),(227,1),(303,1),(304,1),(411,1)}
       262:{2,4,5,7}:{(218,1),(219,1),(228,1),(306,1),(317,1)}
       263:{3,5,6}:{(218,1),(220,1),(306,1)}
       264:{3,4,6,7}:{(219,1),(220,1),(222,1),(302,1),(306,1),(391,1),(417,1)}
       265:{2,3,4,6}:{(220,1),(221,1),(231,1),(307,1),(309,1),(333,1),(389,1)}
       266:{1,3,4,5,7}:{(221,1),(224,1),(232,1),(309,1),(310,1),(311,1),(321,1),(374,1),(415,1),(416,1),(425,1),(426,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(233,1),(303,1),(311,1),(335,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(234,1),(304,1),(311,1),(312,1),(323,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(228,1),(243,1),(301,1),(314,1),(380,1),(408,1)}
       271:{1,3,4,6,7}:{(225,1),(226,1),(244,1),(302,1),(314,1),(315,1),(368,1),(370,1),(408,1),(424,1)}
       272:{2,4,5,7}:{(226,1),(227,1),(233,1),(303,1),(315,1),(316,1),(317,1),(371,1)}
       273:{1,4,5,6}:{(227,1),(234,1),(304,1),(316,1),(318,1)}
       274:{1,3,5,7}:{(228,1),(229,1),(230,1),(246,1),(306,1),(317,1)}
       275:{2,5,6}:{(229,1),(231,1),(317,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(236,1),(317,1),(319,1)}
       277:{1,4,6}:{(231,1),(232,1),(237,1),(318,1)}
       278:{1,2,4,5,7}:{(232,1),(235,1),(238,1),(250,1),(310,1),(320,1),(321,1),(322,1),(327,1),(381,1),(385,1),(415,1),(416,1)}
       279:{1,4,7}:{(233,1),(234,1),(240,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(241,1),(252,1),(312,1),(322,1),(323,1)}
       281:{1,3,5}:{(235,1),(253,1),(313,1),(323,1),(324,1)}
       282:{1,3,6,7}:{(236,1),(237,1),(240,1),(319,1),(325,1)}
       283:{1,2,6}:{(237,1),(238,1)}
       284:{1,2,3,5,7}:{(238,1),(239,1),(242,1),(321,1),(326,1),(327,1),(385,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(257,1),(322,1),(325,1),(371,1)}
       286:{1,2,4}:{(242,1),(324,1)}
       287:{3,5,6,7}:{(243,1),(244,1),(246,1),(424,1)}
       288:{3,4,5,7}:{(245,1),(246,1),(254,1),(328,1),(425,1)}
       289:{2,4,5,6}:{(245,1),(247,1),(328,1),(329,1),(413,1)}
       290:{2,3,5,7}:{(246,1),(247,1),(248,1),(317,1),(328,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(318,1),(329,1),(330,1),(331,1),(387,1)}
       292:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(256,1),(319,1),(330,1),(332,1),(336,1),(383,1),(391,1),(415,1),(417,1)}
       293:{2,4,6}:{(249,1),(250,1),(331,1),(333,1)}
       294:{2,3,5,7}:{(250,1),(253,1),(321,1),(333,1),(334,1),(335,1),(390,1)}
       295:{2,4,7}:{(251,1),(252,1),(257,1),(335,1)}
       296:{2,3,6}:{(252,1),(253,1),(323,1),(335,1)}
       297:{2,3,4}:{(253,1),(324,1)}
       298:{2,4,6,7}:{(254,1),(255,1),(328,1),(336,1)}
       299:{1,3,5,6,7}:{(255,1),(256,1),(258,1),(330,1),(336,1),(337,1),(391,1)}
       300:{2,6,7}:{(256,1),(257,1)}
       301:{2,4,5,6,7}:{(259,1),(262,1),(270,1),(338,1),(352,1),(392,1)}
       302:{3,6,7}:{(259,1),(260,1)}
       303:{2,3,5,7}:{(260,1),(261,1),(267,1),(272,1),(339,1),(340,1),(420,1)}
       304:{1,3,5,6}:{(261,1),(268,1),(273,1),(340,1),(341,1)}
       305:{3,4,5,6}:{(263,1),(342,1),(343,1),(405,1)}
       306:{3,5,7}:{(262,1),(263,1),(264,1)}
       307:{2,3,5,6}:{(263,1),(265,1),(275,1),(343,1),(344,1),(345,1)}
       308:{2,3,4,6,7}:{(264,1),(265,1),(267,1),(276,1),(339,1),(344,1),(346,1),(365,1),(392,1),(406,1)}
       309:{1,3,4,6}:{(265,1),(266,1),(277,1),(345,1),(347,1),(357,1),(402,1),(421,1)}
       310:{2,4,5,7}:{(266,1),(269,1),(347,1),(348,1),(349,1),(397,1),(422,1),(423,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(279,1),(340,1),(349,1),(359,1)}
       312:{2,4,6}:{(268,1),(269,1),(341,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(281,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(274,1),(287,1),(338,1),(352,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(339,1),(352,1),(353,1),(394,1)}
       316:{1,4,5,7}:{(272,1),(273,1),(279,1),(340,1),(353,1),(354,1)}
       317:{2,5,7}:{(274,1),(275,1),(276,1),(354,1)}
       318:{1,5,6}:{(275,1),(277,1),(354,1)}
       319:{1,4,6,7}:{(276,1),(277,1),(279,1),(282,1),(354,1)}
       320:{1,2,4,6}:{(277,1),(278,1),(283,1),(293,1),(347,1),(355,1),(357,1),(402,1)}
       321:{1,3,5,7}:{(278,1),(281,1),(294,1),(348,1),(357,1),(358,1),(359,1),(403,1)}
       322:{1,2,4,7}:{(279,1),(280,1),(285,1),(295,1),(349,1),(359,1)}
       323:{1,3,6}:{(280,1),(281,1),(296,1),(350,1),(359,1)}
       324:{1,3,4}:{(281,1),(286,1),(297,1),(351,1)}
       325:{1,2,6,7}:{(282,1),(283,1),(285,1),(300,1),(394,1)}
       326:{1,2,3,6}:{(283,1),(284,1),(357,1),(360,1)}
       327:{1,2,4,7}:{(284,1),(286,1),(358,1),(360,1)}
       328:{2,4,5,7}:{(288,1),(289,1),(290,1),(298,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(289,1),(291,1),(361,1),(362,1),(402,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(354,1),(361,1),(363,1),(404,1)}
       331:{2,5,6}:{(291,1),(293,1),(363,1)}
       332:{2,4,6,7}:{(292,1),(293,1),(295,1),(300,1),(363,1),(365,1),(406,1)}
       333:{2,3,6}:{(293,1),(294,1),(357,1)}
       334:{2,3,4,7}:{(294,1),(297,1),(358,1),(366,1),(406,1)}
       335:{2,3,7}:{(295,1),(296,1),(359,1)}
       336:{1,4,6,7}:{(298,1),(299,1),(361,1),(367,1)}
       337:{2,5,6,7}:{(299,1),(300,1),(363,1),(367,1)}
       338:{3,5,6,7}:{(301,1),(302,1),(306,1),(368,1)}
       339:{2,3,6,7}:{(302,1),(303,1),(315,1),(370,1),(424,1)}
       340:{1,3,5,7}:{(303,1),(304,1),(311,1),(316,1),(370,1),(371,1)}
       341:{2,5,6}:{(304,1),(312,1),(371,1)}
       342:{3,4,5,7}:{(305,1),(306,1),(368,1),(372,1),(417,1)}
       343:{2,4,5,6}:{(305,1),(307,1),(372,1),(373,1),(389,1)}
       344:{2,3,5,7}:{(306,1),(307,1),(308,1),(317,1),(372,1),(374,1)}
       345:{1,3,5,6}:{(307,1),(309,1),(318,1),(373,1),(374,1),(375,1),(411,1)}
       346:{1,3,4,6,7}:{(308,1),(309,1),(311,1),(319,1),(370,1),(374,1),(376,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       347:{2,4,6}:{(309,1),(310,1),(375,1),(377,1)}
       348:{2,3,5,7}:{(310,1),(313,1),(321,1),(377,1),(378,1),(379,1),(414,1)}
       349:{2,4,7}:{(311,1),(312,1),(371,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(323,1),(379,1)}
       351:{2,3,4}:{(313,1),(324,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(317,1),(380,1)}
       353:{1,4,6,7}:{(315,1),(316,1),(370,1),(380,1)}
       354:{1,5,7}:{(317,1),(318,1),(319,1)}
       355:{1,2,5,6}:{(318,1),(320,1),(331,1),(375,1),(381,1),(382,1),(385,1)}
       356:{1,2,4,6,7}:{(319,1),(320,1),(322,1),(325,1),(332,1),(376,1),(381,1),(383,1),(415,1)}
       357:{1,3,6}:{(320,1),(321,1),(333,1),(377,1)}
       358:{1,3,4,7}:{(321,1),(324,1),(327,1),(334,1),(378,1),(384,1),(415,1)}
       359:{1,3,7}:{(322,1),(323,1),(335,1),(379,1)}
       360:{1,2,4,6}:{(326,1),(327,1),(384,1),(385,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(336,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(331,1),(386,1),(387,1),(389,1)}
       363:{2,5,7}:{(330,1),(331,1),(332,1)}
       364:{2,3,5,6}:{(331,1),(333,1),(382,1),(387,1),(388,1),(389,1),(390,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(335,1),(383,1),(388,1),(391,1)}
       366:{2,3,4,6}:{(333,1),(334,1),(384,1),(389,1),(390,1)}
       367:{2,4,6,7}:{(336,1),(337,1),(386,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(342,1),(392,1)}
       369:{2,3,5,6,7}:{(338,1),(339,1),(344,1),(352,1),(392,1),(393,1)}
       370:{1,3,6,7}:{(339,1),(340,1),(353,1),(394,1)}
       371:{2,5,7}:{(340,1),(341,1),(349,1),(394,1)}
       372:{2,4,5,7}:{(342,1),(343,1),(344,1),(392,1),(395,1),(406,1)}
       373:{1,4,5,6}:{(343,1),(345,1),(395,1),(396,1),(402,1)}
       374:{1,3,5,7}:{(344,1),(345,1),(346,1),(354,1),(395,1),(397,1),(420,1)}
       375:{2,5,6}:{(345,1),(347,1),(397,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(349,1),(394,1),(397,1),(399,1),(422,1)}
       377:{2,3,6}:{(347,1),(348,1),(357,1)}
       378:{2,3,4,7}:{(348,1),(351,1),(358,1),(400,1),(422,1)}
       379:{2,3,7}:{(349,1),(350,1),(359,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(354,1)}
       381:{1,2,5,7}:{(354,1),(355,1),(356,1),(363,1),(397,1),(401,1)}
       382:{1,3,5,6}:{(355,1),(357,1),(364,1),(398,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(356,1),(357,1),(359,1),(365,1),(399,1),(401,1)}
       384:{1,3,4,6}:{(357,1),(358,1),(360,1),(366,1),(400,1),(402,1),(403,1)}
       385:{1,2,5}:{(360,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(367,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{2,3,5,7}:{(363,1),(364,1),(365,1),(401,1),(404,1),(406,1)}
       389:{2,4,6}:{(364,1),(402,1),(405,1),(406,1),(407,1)}
       390:{2,3,5}:{(366,1),(403,1),(407,1)}
       391:{3,6,7}:{(367,1),(404,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(372,1),(408,1)}
       393:{1,3,5,6,7}:{(369,1),(370,1),(374,1),(380,1),(408,1),(409,1),(424,1)}
       394:{2,6,7}:{(370,1),(371,1)}
       395:{1,4,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(415,1)}
       396:{2,4,5,6}:{(373,1),(375,1),(410,1),(411,1),(413,1)}
       397:{2,5,7}:{(374,1),(375,1),(376,1)}
       398:{2,3,5,6}:{(375,1),(377,1),(382,1),(411,1),(412,1),(413,1),(414,1)}
       399:{2,3,6,7}:{(376,1),(377,1),(379,1),(383,1),(412,1),(424,1)}
       400:{2,3,4,6}:{(377,1),(378,1),(384,1),(413,1),(414,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(388,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(389,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(390,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(391,1),(417,1)}
       405:{3,4,6}:{(387,1),(389,1),(417,1),(418,1)}
       406:{2,4,7}:{(388,1),(389,1),(415,1),(417,1)}
       407:{2,4,5}:{(389,1),(390,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,5,6,7}:{(393,1),(394,1),(397,1),(419,1)}
       410:{2,4,5,7}:{(395,1),(396,1),(397,1),(419,1),(420,1),(422,1)}
       411:{3,5,6}:{(396,1),(420,1),(421,1)}
       412:{2,3,5,7}:{(397,1),(398,1),(399,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(398,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(400,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(410,1),(424,1)}
       420:{3,5,7}:{(410,1),(411,1),(424,1),(425,1)}
       421:{3,4,6}:{(411,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2064 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2065 :   0:{2,3,4,5}:{(2,1),(3,1),(40,1),(84,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(24,1),(26,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(24,1),(64,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(62,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(44,1)}
         5:{1,2,4}:{(1,1),(11,1)}
         6:{2,3,4}:{(11,1),(16,1)}
         7:{2,4,5}:{(2,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1),(91,1),(98,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1)}
        10:{2,3,4,7}:{(3,1),(19,1),(21,1),(87,1),(133,1)}
        11:{1,3,4}:{(5,1),(6,1),(22,1),(24,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(67,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(23,1),(25,1),(26,1),(68,1)}
        14:{1,2,4,5}:{(5,1),(7,1),(24,1),(26,1),(27,1),(59,1),(64,1)}
        15:{2,3,4,6}:{(6,1),(23,1),(29,1),(30,1),(31,1),(74,1),(75,1)}
        16:{2,3,5}:{(6,1),(7,1),(24,1),(31,1)}
        17:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(33,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(77,1)}
        19:{1,3,4,7}:{(8,1),(10,1),(33,1),(35,1),(67,1),(116,1),(122,1)}
        20:{2,4,5,6}:{(9,1),(34,1),(36,1),(37,1),(110,1),(150,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(35,1),(37,1),(38,1)}
        22:{2,3,4}:{(11,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(13,1),(15,1),(39,1),(42,1),(43,1),(44,1),(91,1),(92,1)}
        24:{1,3,5}:{(11,1),(14,1),(16,1),(40,1),(44,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(42,1),(45,1)}
        26:{1,2,5}:{(13,1),(43,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(44,1),(46,1),(47,1),(83,1),(91,1)}
        28:{2,3,4,5}:{(16,1),(41,1),(48,1),(49,1)}
        29:{2,3,4,7}:{(15,1),(42,1),(50,1),(52,1),(100,1)}
        30:{2,3,5}:{(15,1),(43,1),(49,1)}
        31:{2,3,6}:{(16,1),(17,1),(44,1),(52,1)}
        32:{2,5,6}:{(17,1),(18,1),(54,1)}
        33:{2,4,7}:{(17,1),(19,1),(52,1),(54,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(53,1),(55,1),(91,1),(137,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(21,1),(54,1),(55,1),(56,1),(102,1)}
        36:{3,4,5,6}:{(20,1),(57,1),(131,1),(161,1)}
        37:{2,4,5,7}:{(20,1),(21,1),(55,1),(57,1),(58,1),(133,1),(163,1)}
        38:{2,3,6,7}:{(21,1),(56,1),(58,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(60,1),(61,1),(62,1),(110,1),(111,1)}
        40:{2,3,5}:{(22,1),(24,1),(59,1),(62,1)}
        41:{1,3,4,5}:{(24,1),(28,1),(59,1),(63,1),(64,1),(108,1)}
        42:{1,3,4,7}:{(23,1),(25,1),(29,1),(60,1),(65,1),(67,1),(116,1)}
        43:{1,3,5}:{(23,1),(26,1),(30,1),(61,1),(64,1)}
        44:{1,3,6}:{(24,1),(27,1),(31,1),(62,1),(67,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(65,1),(68,1)}
        46:{1,2,5,6}:{(26,1),(27,1),(32,1),(66,1),(68,1),(69,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(33,1),(67,1),(69,1),(107,1),(116,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(63,1),(70,1),(71,1),(74,1)}
        49:{2,4,5}:{(30,1),(64,1),(72,1),(74,1)}
        50:{2,3,5,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(32,1),(66,1),(74,1),(75,1),(76,1),(77,1),(123,1)}
        52:{2,3,7}:{(31,1),(33,1),(67,1)}
        53:{2,4,5,6}:{(32,1),(34,1),(74,1),(77,1),(78,1),(123,1),(156,1)}
        54:{2,5,7}:{(32,1),(33,1),(35,1),(79,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(37,1),(78,1),(80,1),(116,1),(153,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(79,1),(80,1),(125,1)}
        57:{3,4,5,7}:{(36,1),(37,1),(81,1),(149,1),(170,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(80,1),(81,1),(82,1)}
        59:{2,4,5}:{(40,1),(41,1),(83,1)}
        60:{2,3,4,7}:{(39,1),(42,1),(85,1),(87,1),(133,1)}
        61:{2,3,5}:{(39,1),(43,1),(84,1)}
        62:{2,3,6}:{(40,1),(44,1),(83,1),(87,1)}
        63:{1,3,4,6}:{(41,1),(44,1),(48,1),(83,1),(88,1),(89,1),(91,1),(131,1)}
        64:{1,4,5}:{(43,1),(49,1),(84,1),(91,1)}
        65:{1,3,5,7}:{(42,1),(43,1),(45,1),(50,1),(85,1),(90,1),(92,1)}
        66:{1,3,5,6}:{(43,1),(44,1),(46,1),(51,1),(86,1),(91,1),(92,1),(93,1),(137,1)}
        67:{1,3,7}:{(44,1),(47,1),(52,1),(87,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(47,1),(54,1),(93,1),(94,1),(129,1)}
        70:{2,3,5,6}:{(48,1),(88,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(48,1),(52,1),(89,1),(96,1),(100,1)}
        72:{3,4,5}:{(49,1),(98,1)}
        73:{2,4,5,7}:{(49,1),(50,1),(90,1),(97,1),(99,1),(100,1),(143,1)}
        74:{2,4,6}:{(49,1),(51,1),(91,1),(98,1),(100,1)}
        75:{2,3,6}:{(50,1),(92,1),(99,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(54,1),(93,1),(100,1),(101,1),(102,1),(143,1)}
        77:{3,5,6}:{(53,1),(98,1),(102,1)}
        78:{2,4,5,7}:{(53,1),(54,1),(55,1),(100,1),(102,1),(103,1),(143,1),(166,1)}
        79:{2,6,7}:{(54,1),(56,1)}
        80:{1,4,6,7}:{(55,1),(56,1),(58,1),(103,1),(104,1)}
        81:{3,4,6,7}:{(57,1),(58,1),(105,1)}
        82:{2,5,6,7}:{(58,1),(104,1),(105,1),(163,1)}
        83:{2,4,6}:{(59,1),(62,1),(63,1),(106,1),(107,1)}
        84:{2,4,5}:{(61,1),(64,1),(108,1),(110,1)}
        85:{2,3,5,7}:{(60,1),(61,1),(65,1),(109,1),(111,1)}
        86:{2,3,5,6}:{(61,1),(62,1),(66,1),(106,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,7}:{(62,1),(67,1),(107,1)}
        88:{1,3,5,6}:{(63,1),(70,1),(106,1),(113,1),(114,1),(145,1)}
        89:{1,3,4,7}:{(63,1),(67,1),(71,1),(107,1),(114,1),(116,1),(149,1)}
        90:{1,4,5,7}:{(64,1),(65,1),(73,1),(109,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(64,1),(66,1),(74,1),(110,1),(116,1)}
        92:{1,3,6}:{(65,1),(68,1),(75,1),(111,1),(115,1)}
        93:{1,3,5,7}:{(66,1),(67,1),(69,1),(76,1),(112,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(79,1),(117,1),(147,1)}
        95:{2,4,5,6}:{(70,1),(74,1),(113,1),(118,1),(119,1),(123,1)}
        96:{2,3,5,7}:{(70,1),(71,1),(114,1),(119,1),(120,1)}
        97:{3,4,5,7}:{(72,1),(73,1),(121,1),(122,1),(157,1)}
        98:{3,4,6}:{(72,1),(74,1),(77,1),(122,1)}
        99:{2,4,6}:{(73,1),(75,1),(115,1),(121,1),(123,1)}
       100:{2,4,7}:{(74,1),(76,1),(116,1),(122,1)}
       101:{2,3,6,7}:{(75,1),(76,1),(79,1),(117,1),(124,1),(125,1)}
       102:{3,5,7}:{(77,1),(78,1),(122,1),(125,1)}
       103:{2,4,6,7}:{(78,1),(79,1),(80,1),(125,1),(126,1),(158,1)}
       104:{1,5,6,7}:{(80,1),(82,1),(126,1),(153,1)}
       105:{3,5,6,7}:{(81,1),(82,1),(127,1),(170,1)}
       106:{2,5,6}:{(83,1),(88,1),(129,1)}
       107:{2,4,7}:{(83,1),(87,1),(89,1),(129,1)}
       108:{3,4,5}:{(84,1),(131,1)}
       109:{2,4,5,7}:{(84,1),(85,1),(90,1),(130,1),(132,1),(133,1),(163,1)}
       110:{2,4,6}:{(84,1),(86,1),(91,1),(131,1),(133,1)}
       111:{2,3,6}:{(85,1),(92,1),(132,1)}
       112:{2,3,5,7}:{(86,1),(87,1),(93,1),(129,1),(133,1),(134,1),(159,1),(163,1)}
       113:{1,4,5,6}:{(88,1),(91,1),(95,1),(128,1),(135,1),(137,1)}
       114:{1,3,5,7}:{(88,1),(89,1),(96,1),(129,1),(135,1),(136,1),(159,1)}
       115:{1,4,6}:{(90,1),(92,1),(99,1),(132,1),(137,1)}
       116:{1,4,7}:{(91,1),(93,1),(100,1),(133,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(101,1),(134,1),(138,1)}
       118:{3,4,5,6}:{(95,1),(98,1),(139,1),(141,1)}
       119:{2,4,5,7}:{(95,1),(96,1),(100,1),(135,1),(139,1),(140,1),(143,1)}
       120:{2,3,6,7}:{(96,1),(136,1),(140,1)}
       121:{3,4,6}:{(97,1),(99,1),(141,1)}
       122:{3,4,7}:{(98,1),(100,1),(102,1)}
       123:{2,5,6}:{(99,1),(137,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(101,1),(138,1),(142,1),(143,1)}
       125:{3,6,7}:{(102,1),(103,1)}
       126:{2,5,6,7}:{(103,1),(104,1),(143,1),(144,1)}
       127:{4,5,6,7}:{(105,1),(173,1)}
       128:{2,4,5,6}:{(106,1),(110,1),(113,1),(145,1),(146,1),(150,1),(169,1)}
       129:{2,5,7}:{(106,1),(107,1),(114,1),(147,1)}
       130:{3,4,5,7}:{(108,1),(109,1),(148,1),(149,1),(170,1)}
       131:{3,4,6}:{(108,1),(110,1),(145,1),(149,1)}
       132:{2,4,6}:{(109,1),(111,1),(115,1),(148,1),(150,1)}
       133:{2,4,7}:{(110,1),(112,1),(116,1),(149,1)}
       134:{2,3,6,7}:{(111,1),(112,1),(117,1),(147,1),(151,1),(167,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(116,1),(119,1),(146,1),(152,1),(153,1)}
       136:{1,3,6,7}:{(114,1),(120,1),(147,1),(152,1),(167,1)}
       137:{1,5,6}:{(115,1),(123,1),(150,1),(153,1)}
       138:{1,4,6,7}:{(115,1),(116,1),(117,1),(124,1),(151,1),(153,1)}
       139:{3,4,5,7}:{(118,1),(119,1),(122,1),(154,1),(157,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(152,1),(154,1),(155,1)}
       141:{3,5,6}:{(121,1),(123,1),(156,1),(157,1)}
       142:{3,4,6,7}:{(121,1),(122,1),(124,1),(125,1),(157,1),(158,1)}
       143:{2,5,7}:{(123,1),(124,1),(153,1),(157,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(157,1),(158,1)}
       145:{3,5,6}:{(128,1),(131,1),(159,1)}
       146:{2,4,5,7}:{(128,1),(129,1),(133,1),(135,1),(159,1),(160,1),(163,1),(173,1)}
       147:{2,6,7}:{(129,1),(136,1)}
       148:{3,4,6}:{(130,1),(132,1),(161,1)}
       149:{3,4,7}:{(131,1),(133,1),(159,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(134,1),(138,1),(162,1),(163,1)}
       152:{1,4,6,7}:{(135,1),(136,1),(140,1),(160,1),(164,1)}
       153:{1,5,7}:{(137,1),(138,1),(143,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(140,1),(165,1)}
       155:{2,5,6,7}:{(140,1),(143,1),(164,1),(165,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{3,5,7}:{(141,1),(142,1),(143,1),(166,1)}
       158:{4,6,7}:{(144,1),(166,1)}
       159:{3,5,7}:{(145,1),(146,1),(149,1),(167,1)}
       160:{2,4,6,7}:{(146,1),(147,1),(152,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(148,1),(150,1),(169,1),(170,1)}
       162:{3,4,6,7}:{(148,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(150,1),(151,1),(153,1),(170,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(155,1),(168,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(157,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(158,1)}
       167:{3,6,7}:{(159,1),(160,1)}
       168:{2,5,6,7}:{(160,1),(163,1),(164,1),(172,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{3,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2066 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2067 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(109,1),(110,1),(129,1),(131,1),(166,1),(175,1),(220,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(89,1),(91,1),(101,1),(104,1),(159,1),(161,1),(205,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(85,1),(195,1),(204,1),(245,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(59,1),(109,1),(125,1),(129,1),(164,1),(172,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(33,1),(75,1),(78,1),(189,1),(190,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(28,1),(67,1),(79,1),(232,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(221,1),(229,1)}
         7:{1,2,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(43,1),(84,1),(89,1),(91,1),(136,1),(205,1),(206,1),(207,1),(251,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(42,1),(49,1),(89,1),(97,1),(101,1),(156,1),(159,1),(202,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(193,1),(201,1)}
        10:{2,3,5,7}:{(4,1),(14,1),(20,1),(21,1),(55,1),(218,1),(219,1)}
        11:{2,4,6}:{(4,1),(5,1),(21,1),(22,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(18,1),(22,1),(23,1),(57,1),(254,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(23,1),(24,1),(85,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(25,1),(27,1),(28,1),(66,1),(166,1),(234,1),(235,1)}
        15:{1,2,4,6}:{(7,1),(11,1),(28,1),(29,1),(60,1),(67,1),(165,1),(232,1),(272,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(70,1),(122,1),(125,1)}
        17:{2,4,6,7}:{(8,1),(11,1),(32,1),(33,1),(75,1),(186,1),(189,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(12,1),(33,1),(34,1),(76,1),(230,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(34,1),(35,1),(109,1)}
        20:{2,3,4,7}:{(10,1),(27,1),(36,1),(75,1),(244,1)}
        21:{2,3,6}:{(10,1),(11,1),(28,1)}
        22:{2,5,6}:{(11,1),(12,1),(33,1)}
        23:{1,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(67,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(111,1),(221,1)}
        25:{2,3,5,7}:{(14,1),(40,1),(41,1),(84,1),(251,1),(252,1),(253,1)}
        26:{1,2,4,6,7}:{(15,1),(17,1),(42,1),(43,1),(82,1),(89,1),(202,1),(203,1),(206,1)}
        27:{1,3,4,7}:{(14,1),(20,1),(40,1),(44,1),(89,1),(137,1),(259,1)}
        28:{1,3,6}:{(14,1),(15,1),(21,1),(41,1),(195,1)}
        29:{1,2,5,6}:{(15,1),(22,1),(43,1),(45,1),(84,1),(135,1),(254,1)}
        30:{1,3,5,6,7}:{(16,1),(18,1),(48,1),(49,1),(97,1),(152,1),(156,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(49,1),(50,1)}
        32:{2,3,6,7}:{(17,1),(21,1),(42,1),(52,1),(97,1),(218,1)}
        33:{2,5,7}:{(17,1),(18,1),(22,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(23,1),(49,1),(53,1),(89,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(50,1),(137,1),(193,1)}
        36:{2,3,4,6}:{(20,1),(21,1),(44,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(21,1),(22,1),(45,1),(52,1),(55,1),(56,1),(57,1)}
        38:{2,4,5,6}:{(22,1),(23,1),(53,1),(56,1),(57,1)}
        39:{1,3,4,5,6}:{(23,1),(24,1),(54,1),(57,1),(58,1),(92,1),(106,1),(200,1),(209,1),(260,1),(293,1)}
        40:{2,4,7}:{(25,1),(27,1),(60,1),(274,1)}
        41:{2,3,6}:{(25,1),(28,1),(60,1),(272,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(32,1),(59,1),(64,1),(234,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(33,1),(64,1),(108,1),(230,1)}
        44:{1,3,4,6}:{(27,1),(28,1),(36,1),(60,1),(66,1),(67,1),(111,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(37,1),(61,1),(64,1),(66,1),(67,1)}
        46:{1,2,4,5,6}:{(29,1),(38,1),(65,1),(67,1),(68,1),(81,1),(110,1),(119,1),(133,1),(165,1),(170,1),(178,1),(179,1),(227,1),(229,1),(232,1),(272,1),(275,1),(279,1),(297,1),(302,1),(313,1)}
        47:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(122,1),(163,1),(238,1)}
        48:{2,5,6,7}:{(30,1),(33,1),(72,1),(186,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(34,1),(72,1)}
        50:{3,4,6,7}:{(31,1),(35,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(36,1),(63,1),(74,1),(75,1),(124,1),(127,1),(167,1),(172,1),(224,1)}
        52:{2,3,5,7}:{(32,1),(33,1),(37,1),(64,1),(75,1),(76,1)}
        53:{2,4,5,7}:{(33,1),(34,1),(38,1),(72,1),(75,1),(76,1)}
        54:{1,3,4,5,7}:{(34,1),(35,1),(39,1),(73,1),(76,1),(77,1),(116,1),(130,1),(171,1),(180,1),(237,1),(280,1)}
        55:{2,3,5}:{(36,1),(66,1),(78,1)}
        56:{2,4,6}:{(37,1),(67,1),(75,1),(78,1),(79,1)}
        57:{3,5,6}:{(38,1),(76,1),(79,1)}
        58:{2,4,5,6}:{(39,1),(77,1),(80,1),(81,1),(119,1),(133,1),(229,1)}
        59:{2,3,6,7}:{(41,1),(42,1),(82,1),(83,1),(195,1),(252,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(84,1)}
        61:{2,3,5,6}:{(41,1),(45,1),(83,1),(84,1),(85,1),(135,1),(138,1),(195,1)}
        62:{1,2,5,6,7}:{(43,1),(48,1),(86,1),(87,1),(135,1),(152,1),(201,1),(203,1),(212,1),(254,1),(255,1),(286,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(51,1),(82,1),(88,1),(89,1),(137,1),(143,1),(195,1),(197,1),(202,1),(250,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(52,1),(83,1),(89,1)}
        65:{1,2,4,5,7}:{(43,1),(46,1),(53,1),(87,1),(89,1),(90,1),(103,1),(136,1),(140,1),(145,1),(160,1),(201,1),(205,1),(206,1),(251,1),(255,1),(261,1),(285,1),(291,1)}
        66:{1,3,5}:{(44,1),(55,1),(84,1),(91,1),(138,1)}
        67:{1,4,6}:{(45,1),(56,1),(85,1),(89,1),(91,1)}
        68:{1,3,5,6}:{(46,1),(57,1),(90,1),(92,1),(93,1),(138,1),(195,1),(198,1),(208,1),(250,1),(293,1),(306,1),(314,1)}
        69:{1,4,5,6,7}:{(47,1),(49,1),(94,1),(95,1),(140,1),(152,1),(211,1)}
        70:{3,5,6,7}:{(47,1),(50,1),(193,1),(262,1)}
        71:{2,3,5,6,7}:{(48,1),(52,1),(86,1),(96,1),(97,1),(99,1),(142,1),(154,1),(201,1),(286,1),(287,1),(306,1)}
        72:{2,4,6,7}:{(48,1),(49,1),(53,1),(97,1)}
        73:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(95,1),(97,1),(98,1),(150,1),(156,1),(211,1),(262,1)}
        74:{2,3,5,7}:{(51,1),(55,1),(88,1),(99,1),(100,1),(154,1),(201,1)}
        75:{2,4,7}:{(52,1),(56,1),(89,1),(101,1)}
        76:{3,5,7}:{(53,1),(57,1),(97,1),(101,1)}
        77:{2,4,5,7}:{(54,1),(58,1),(98,1),(102,1),(103,1),(145,1),(160,1),(201,1)}
        78:{2,4,5}:{(55,1),(56,1),(91,1),(104,1)}
        79:{3,4,6}:{(56,1),(57,1),(101,1),(104,1)}
        80:{2,3,5,6}:{(57,1),(58,1),(102,1),(105,1),(106,1),(293,1)}
        81:{1,4,5,6}:{(58,1),(103,1),(106,1),(148,1),(254,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(63,1),(108,1),(109,1),(165,1),(226,1),(272,1)}
        83:{2,3,5,7}:{(59,1),(61,1),(64,1),(108,1),(109,1),(166,1)}
        84:{2,5}:{(60,1),(66,1)}
        85:{2,4,6}:{(61,1),(67,1),(109,1),(110,1),(111,1)}
        86:{1,3,5,6,7}:{(62,1),(64,1),(71,1),(107,1),(112,1),(113,1),(114,1),(171,1),(173,1),(230,1),(269,1),(276,1)}
        87:{1,2,4,6,7}:{(62,1),(65,1),(72,1),(112,1),(113,1),(126,1),(165,1),(172,1),(186,1),(232,1),(238,1),(272,1),(297,1)}
        88:{1,3,5,7}:{(63,1),(66,1),(74,1),(108,1),(114,1),(115,1),(166,1),(230,1)}
        89:{1,4,7}:{(64,1),(67,1),(75,1),(109,1)}
        90:{1,3,5,7}:{(65,1),(68,1),(76,1),(113,1),(116,1),(117,1),(166,1),(234,1),(280,1),(298,1)}
        91:{1,4,5}:{(66,1),(67,1),(78,1),(110,1)}
        92:{1,3,4,6}:{(67,1),(68,1),(79,1),(111,1),(116,1),(118,1),(119,1),(302,1),(304,1),(312,1)}
        93:{2,3,5,6}:{(68,1),(117,1),(119,1),(120,1),(133,1),(168,1),(191,1),(224,1),(227,1),(228,1),(229,1),(272,1)}
        94:{2,4,5,6,7}:{(69,1),(72,1),(121,1),(122,1),(123,1),(181,1)}
        95:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(121,1),(122,1),(171,1)}
        96:{2,4,6,7}:{(71,1),(75,1),(112,1),(123,1),(124,1),(127,1),(297,1),(300,1)}
        97:{3,6,7}:{(72,1),(76,1)}
        98:{2,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(126,1),(186,1)}
        99:{2,3,5,6}:{(74,1),(114,1),(127,1),(183,1),(224,1),(229,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(115,1),(127,1),(128,1)}
       101:{3,4,7}:{(75,1),(76,1),(79,1)}
       102:{2,3,5,7}:{(76,1),(77,1),(80,1),(125,1),(129,1),(130,1),(280,1)}
       103:{1,4,5,7}:{(77,1),(81,1),(126,1),(130,1),(176,1),(230,1)}
       104:{3,4,5}:{(78,1),(79,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(119,1),(129,1),(131,1),(132,1),(228,1),(304,1)}
       106:{1,3,5,6}:{(80,1),(81,1),(130,1),(132,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(86,1),(134,1),(135,1),(142,1),(193,1),(195,1),(201,1),(212,1),(247,1),(262,1),(264,1)}
       108:{2,5,7}:{(82,1),(84,1),(88,1),(135,1)}
       109:{2,4,7}:{(83,1),(85,1),(89,1),(137,1)}
       110:{2,4,5}:{(84,1),(85,1),(91,1),(138,1)}
       111:{3,4,6}:{(85,1),(137,1),(138,1),(195,1)}
       112:{1,4,6,7}:{(86,1),(89,1),(96,1),(134,1),(140,1),(143,1),(284,1),(291,1)}
       113:{1,3,6,7}:{(87,1),(90,1),(97,1),(142,1),(195,1),(250,1),(262,1),(306,1)}
       114:{1,3,5,6}:{(88,1),(99,1),(135,1),(143,1),(195,1),(250,1),(254,1)}
       115:{1,4,5,7}:{(88,1),(89,1),(91,1),(100,1),(136,1),(143,1)}
       116:{1,3,4,7}:{(89,1),(90,1),(92,1),(101,1),(137,1),(145,1),(291,1),(294,1),(307,1)}
       117:{2,3,5,7}:{(90,1),(93,1),(142,1),(145,1),(146,1),(160,1),(201,1),(218,1),(251,1),(252,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(104,1),(138,1),(147,1),(198,1),(310,1),(311,1),(314,1)}
       119:{2,4,6}:{(92,1),(93,1),(145,1),(147,1),(148,1)}
       120:{1,3,5,6}:{(93,1),(146,1),(148,1),(149,1),(198,1),(208,1),(250,1),(254,1)}
       121:{3,5,6,7}:{(94,1),(97,1),(150,1),(154,1)}
       122:{2,5,6,7}:{(95,1),(98,1),(152,1),(201,1)}
       123:{2,4,5,7}:{(96,1),(140,1),(153,1),(154,1),(201,1)}
       124:{3,4,6,7}:{(96,1),(97,1),(101,1),(154,1),(157,1),(306,1),(307,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(102,1),(156,1),(262,1)}
       126:{1,4,6,7}:{(98,1),(103,1),(152,1),(156,1)}
       127:{2,4,6}:{(99,1),(100,1),(143,1),(157,1)}
       128:{3,4,5,7}:{(100,1),(101,1),(104,1),(154,1),(157,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(105,1),(145,1),(159,1),(252,1),(294,1)}
       130:{1,3,5,7}:{(102,1),(103,1),(106,1),(156,1),(159,1),(160,1)}
       131:{2,3,4,5}:{(104,1),(105,1),(147,1),(161,1),(253,1),(311,1)}
       132:{1,3,4,6}:{(105,1),(106,1),(148,1),(159,1),(161,1),(162,1),(208,1)}
       133:{2,5,6}:{(106,1),(160,1),(162,1)}
       134:{2,4,6,7}:{(107,1),(109,1),(112,1),(163,1),(164,1),(165,1),(267,1),(282,1)}
       135:{2,5,6}:{(108,1),(114,1),(165,1),(272,1)}
       136:{2,4,5,7}:{(108,1),(109,1),(110,1),(115,1),(165,1),(166,1)}
       137:{3,4,7}:{(109,1),(111,1),(166,1)}
       138:{3,5}:{(110,1),(111,1)}
       139:{2,3,4,6}:{(111,1),(119,1),(167,1),(168,1),(169,1),(191,1),(224,1),(244,1),(312,1)}
       140:{1,4,5,7}:{(112,1),(123,1),(163,1),(170,1),(171,1),(230,1)}
       141:{1,3,4,6,7}:{(112,1),(113,1),(116,1),(124,1),(164,1),(171,1),(172,1),(174,1)}
       142:{2,3,6,7}:{(113,1),(117,1),(172,1),(173,1),(186,1),(224,1),(272,1)}
       143:{1,4,6}:{(114,1),(115,1),(127,1),(165,1)}
       144:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(128,1),(166,1),(171,1),(174,1),(175,1),(220,1),(225,1),(268,1),(298,1)}
       145:{2,4,7}:{(116,1),(117,1),(119,1),(176,1)}
       146:{1,3,5,7}:{(117,1),(120,1),(173,1),(176,1),(177,1),(230,1),(234,1)}
       147:{2,4,5}:{(118,1),(119,1),(168,1),(178,1),(227,1)}
       148:{1,4,6}:{(119,1),(120,1),(176,1),(178,1)}
       149:{1,2,5,6}:{(120,1),(133,1),(177,1),(179,1),(227,1),(272,1)}
       150:{3,4,6,7}:{(121,1),(180,1),(181,1)}
       151:{2,3,5,6,7}:{(121,1),(122,1),(125,1),(181,1),(182,1),(184,1)}
       152:{1,5,6,7}:{(122,1),(126,1),(230,1)}
       153:{2,4,5,6}:{(123,1),(127,1),(170,1),(183,1),(229,1),(297,1)}
       154:{3,5,7}:{(123,1),(124,1),(183,1)}
       155:{2,3,4,6,7}:{(124,1),(125,1),(129,1),(172,1),(181,1),(184,1),(185,1),(187,1),(271,1),(300,1)}
       156:{1,3,6,7}:{(125,1),(126,1),(130,1),(186,1)}
       157:{3,4,6}:{(127,1),(128,1),(183,1)}
       158:{2,3,4,5,7}:{(128,1),(129,1),(131,1),(175,1),(184,1),(187,1),(188,1),(273,1),(298,1),(300,1),(313,1)}
       159:{1,3,4,7}:{(129,1),(130,1),(132,1),(176,1),(189,1),(234,1)}
       160:{2,5,7}:{(130,1),(133,1),(186,1),(189,1)}
       161:{1,3,4,5}:{(131,1),(132,1),(178,1),(190,1),(235,1)}
       162:{2,4,6}:{(132,1),(133,1),(189,1),(190,1),(191,1)}
       163:{2,4,5,7}:{(134,1),(140,1),(192,1),(193,1),(201,1)}
       164:{3,4,6,7}:{(134,1),(137,1),(193,1),(195,1),(245,1),(262,1),(294,1)}
       165:{2,4,6}:{(135,1),(136,1),(143,1),(195,1)}
       166:{3,5,7}:{(136,1),(137,1),(138,1),(195,1)}
       167:{2,3,4,7}:{(137,1),(139,1),(145,1),(196,1),(197,1),(218,1),(307,1)}
       168:{2,3,5}:{(138,1),(139,1),(147,1),(198,1),(314,1)}
       169:{1,3,4,6}:{(139,1),(148,1),(197,1),(198,1),(199,1),(208,1),(250,1),(259,1)}
       170:{1,4,5,6}:{(140,1),(143,1),(153,1),(192,1),(200,1),(254,1),(284,1)}
       171:{1,3,5,7}:{(140,1),(141,1),(154,1),(193,1),(200,1),(201,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(145,1),(201,1),(202,1),(204,1)}
       173:{1,3,6,7}:{(142,1),(146,1),(202,1),(203,1),(250,1)}
       174:{1,3,4,6}:{(143,1),(144,1),(157,1),(195,1),(200,1),(204,1),(245,1),(250,1),(284,1),(306,1)}
       175:{2,4,5,7}:{(144,1),(145,1),(147,1),(196,1),(201,1),(204,1),(205,1),(251,1)}
       176:{1,4,7}:{(145,1),(146,1),(148,1)}
       177:{1,2,5,7}:{(146,1),(149,1),(160,1),(203,1),(206,1),(251,1)}
       178:{1,4,5}:{(147,1),(148,1),(198,1)}
       179:{1,2,4,6}:{(148,1),(149,1),(162,1),(199,1),(206,1),(207,1),(208,1)}
       180:{3,4,5,7}:{(150,1),(154,1),(209,1),(210,1),(307,1)}
       181:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       182:{1,3,5,6,7}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1),(262,1)}
       183:{3,5,6}:{(153,1),(154,1),(157,1),(306,1)}
       184:{2,3,5,7}:{(154,1),(155,1),(201,1),(210,1),(213,1),(214,1)}
       185:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(202,1),(211,1),(214,1),(215,1),(216,1),(256,1),(262,1),(291,1),(294,1)}
       186:{2,6,7}:{(156,1),(160,1)}
       187:{2,3,4,6}:{(157,1),(158,1),(204,1),(213,1),(216,1),(288,1),(306,1),(308,1)}
       188:{1,3,4,5,7}:{(158,1),(159,1),(161,1),(205,1),(214,1),(216,1),(217,1),(258,1),(291,1),(294,1),(310,1),(311,1)}
       189:{2,4,7}:{(159,1),(160,1),(162,1),(218,1)}
       190:{2,4,5}:{(161,1),(162,1),(219,1)}
       191:{2,3,6}:{(162,1),(208,1),(218,1),(219,1)}
       192:{2,4,5,6}:{(163,1),(165,1),(170,1),(221,1),(229,1),(267,1)}
       193:{3,5,7}:{(163,1),(164,1),(221,1)}
       194:{2,3,4,6,7}:{(164,1),(167,1),(172,1),(222,1),(223,1),(224,1),(241,1),(267,1),(282,1),(283,1)}
       195:{3,6}:{(165,1),(166,1)}
       196:{2,3,5,7}:{(166,1),(167,1),(168,1),(175,1),(224,1),(225,1),(298,1)}
       197:{1,3,4,7}:{(167,1),(169,1),(176,1),(225,1),(226,1),(234,1)}
       198:{1,3,5}:{(168,1),(169,1),(178,1),(227,1)}
       199:{2,4,6}:{(169,1),(226,1),(227,1),(228,1),(272,1),(274,1)}
       200:{1,3,5,6}:{(170,1),(171,1),(174,1),(183,1),(221,1),(229,1)}
       201:{2,5,7}:{(171,1),(172,1),(229,1),(230,1)}
       202:{1,4,6,7}:{(172,1),(173,1),(176,1),(230,1),(232,1)}
       203:{1,2,6,7}:{(173,1),(177,1),(186,1),(272,1)}
       204:{2,4,6}:{(174,1),(175,1),(224,1),(229,1),(232,1),(272,1)}
       205:{1,4,5,7}:{(175,1),(176,1),(178,1),(225,1),(230,1),(232,1)}
       206:{1,2,4,7}:{(176,1),(177,1),(179,1),(189,1),(226,1),(234,1)}
       207:{1,2,4,5}:{(178,1),(179,1),(190,1),(227,1),(235,1),(274,1)}
       208:{1,3,6}:{(179,1),(191,1),(228,1),(234,1),(235,1)}
       209:{3,4,5,6}:{(180,1),(183,1),(236,1),(312,1)}
       210:{2,4,5,7}:{(180,1),(181,1),(184,1),(236,1),(237,1),(300,1)}
       211:{1,4,6,7}:{(181,1),(182,1),(237,1),(238,1)}
       212:{2,5,6,7}:{(182,1),(186,1),(238,1),(240,1)}
       213:{2,3,5,6}:{(183,1),(184,1),(187,1),(229,1),(236,1),(239,1)}
       214:{1,3,5,7}:{(184,1),(185,1),(230,1),(237,1),(239,1),(240,1),(280,1)}
       215:{2,4,6,7}:{(185,1),(186,1),(189,1),(240,1),(241,1),(242,1),(282,1)}
       216:{1,3,4,6}:{(187,1),(188,1),(232,1),(239,1),(242,1),(277,1),(302,1),(304,1)}
       217:{2,4,5,7}:{(188,1),(189,1),(190,1),(240,1),(242,1),(243,1),(282,1),(305,1)}
       218:{2,3,7}:{(189,1),(191,1),(234,1)}
       219:{2,3,5}:{(190,1),(191,1),(235,1),(244,1)}
       220:{3,4,5,7}:{(193,1),(245,1),(246,1),(294,1),(311,1)}
       221:{3,5,6}:{(192,1),(193,1),(195,1),(245,1)}
       222:{2,3,5,7}:{(193,1),(194,1),(201,1),(246,1),(247,1),(248,1),(296,1)}
       223:{1,3,4,6,7}:{(194,1),(197,1),(202,1),(248,1),(249,1),(250,1),(256,1),(284,1),(291,1),(292,1),(306,1),(307,1)}
       224:{2,3,6}:{(195,1),(196,1),(204,1),(250,1),(306,1)}
       225:{1,3,5,7}:{(196,1),(197,1),(198,1),(205,1),(250,1),(251,1)}
       226:{2,4,7}:{(197,1),(199,1),(251,1),(252,1)}
       227:{2,5}:{(198,1),(199,1)}
       228:{2,3,6}:{(199,1),(208,1),(252,1),(253,1)}
       229:{2,5,6}:{(200,1),(201,1),(204,1),(254,1)}
       230:{1,5,7}:{(201,1),(202,1),(254,1)}
       231:{1,2,4,6,7}:{(202,1),(203,1),(206,1),(215,1),(249,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,4,6}:{(204,1),(205,1),(250,1),(254,1)}
       233:{1,2,4,5,7}:{(205,1),(206,1),(207,1),(217,1),(251,1),(255,1),(257,1),(258,1),(285,1),(289,1),(291,1),(309,1),(310,1)}
       234:{1,3,7}:{(206,1),(208,1),(218,1),(252,1)}
       235:{1,3,5}:{(207,1),(208,1),(219,1),(253,1),(259,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(213,1),(260,1),(308,1)}
       237:{1,4,5,7}:{(210,1),(211,1),(214,1),(260,1),(261,1),(291,1)}
       238:{2,4,6,7}:{(211,1),(212,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(214,1),(216,1),(254,1),(260,1),(263,1),(293,1)}
       240:{2,5,7}:{(214,1),(215,1),(263,1)}
       241:{2,3,6,7}:{(215,1),(218,1),(256,1),(262,1),(264,1),(265,1)}
       242:{2,4,6}:{(216,1),(217,1),(263,1),(265,1)}
       243:{2,3,5,7}:{(217,1),(218,1),(219,1),(258,1),(265,1),(266,1),(296,1)}
       244:{2,3,4}:{(219,1),(259,1)}
       245:{3,4,6}:{(220,1),(221,1),(267,1)}
       246:{2,4,5,7}:{(220,1),(222,1),(267,1),(268,1),(282,1),(305,1)}
       247:{2,3,5,6}:{(221,1),(222,1),(224,1),(229,1),(267,1),(269,1)}
       248:{1,3,5,7}:{(222,1),(223,1),(230,1),(268,1),(269,1),(270,1),(298,1),(303,1)}
       249:{2,4,6,7}:{(223,1),(226,1),(270,1),(271,1),(272,1),(297,1),(300,1),(301,1)}
       250:{1,3,6}:{(224,1),(225,1),(232,1),(272,1)}
       251:{2,5,7}:{(225,1),(226,1),(227,1),(272,1)}
       252:{2,3,7}:{(226,1),(228,1),(234,1)}
       253:{2,3,5}:{(227,1),(228,1),(235,1),(274,1)}
       254:{1,5,6}:{(229,1),(230,1),(232,1)}
       255:{1,2,5,7}:{(230,1),(231,1),(240,1),(270,1),(275,1),(276,1)}
       256:{1,3,6,7}:{(231,1),(234,1),(241,1),(271,1),(276,1),(277,1)}
       257:{1,2,4,6}:{(232,1),(233,1),(242,1),(272,1),(275,1),(277,1),(297,1),(301,1),(302,1)}
       258:{1,3,5,7}:{(233,1),(234,1),(235,1),(243,1),(273,1),(277,1),(278,1),(298,1),(303,1)}
       259:{1,3,4}:{(235,1),(244,1),(274,1)}
       260:{1,4,5,6}:{(236,1),(237,1),(239,1),(279,1),(302,1)}
       261:{2,4,5,7}:{(237,1),(238,1),(240,1),(279,1),(280,1),(282,1)}
       262:{3,6,7}:{(238,1),(280,1)}
       263:{2,5,6}:{(239,1),(240,1),(242,1)}
       264:{2,3,5,7}:{(240,1),(241,1),(276,1),(280,1),(281,1),(282,1)}
       265:{2,3,6}:{(242,1),(243,1),(277,1)}
       266:{2,3,4,7}:{(243,1),(244,1),(278,1),(282,1),(283,1)}
       267:{2,4,6}:{(245,1),(246,1),(247,1),(284,1)}
       268:{1,4,5,7}:{(246,1),(248,1),(284,1),(285,1),(291,1),(310,1)}
       269:{1,3,5,6}:{(247,1),(248,1),(250,1),(254,1),(284,1),(286,1),(306,1)}
       270:{2,5,7}:{(248,1),(249,1),(286,1),(309,1)}
       271:{2,3,6,7}:{(249,1),(252,1),(256,1),(287,1),(288,1),(306,1)}
       272:{2,6}:{(250,1),(251,1)}
       273:{2,3,5,7}:{(251,1),(252,1),(253,1),(258,1),(288,1),(289,1),(309,1)}
       274:{2,4}:{(253,1),(259,1)}
       275:{1,2,5,6}:{(254,1),(255,1),(257,1),(263,1),(286,1),(290,1),(309,1)}
       276:{1,3,5,7}:{(255,1),(256,1),(264,1),(287,1),(290,1),(291,1)}
       277:{1,3,6}:{(257,1),(258,1),(265,1),(288,1),(306,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(266,1),(289,1),(291,1),(292,1),(307,1)}
       279:{2,4,5,6}:{(260,1),(261,1),(263,1),(293,1),(295,1)}
       280:{3,5,7}:{(261,1),(262,1),(293,1),(294,1)}
       281:{2,3,5,6}:{(263,1),(264,1),(265,1),(290,1),(293,1),(295,1),(296,1)}
       282:{2,4,7}:{(264,1),(291,1),(294,1),(295,1)}
       283:{2,3,4,6}:{(265,1),(266,1),(292,1),(295,1),(296,1)}
       284:{1,4,6}:{(267,1),(268,1),(269,1),(297,1)}
       285:{2,4,5,7}:{(268,1),(270,1),(297,1),(298,1),(300,1),(313,1)}
       286:{2,5,6}:{(269,1),(270,1),(272,1),(297,1)}
       287:{2,3,5,7}:{(270,1),(271,1),(276,1),(298,1),(299,1),(300,1)}
       288:{2,3,6}:{(272,1),(273,1),(277,1),(301,1)}
       289:{2,4,7}:{(273,1),(274,1),(278,1),(301,1)}
       290:{1,3,5,6}:{(275,1),(276,1),(277,1),(281,1),(299,1),(302,1),(303,1)}
       291:{1,4,7}:{(276,1),(282,1),(300,1),(302,1)}
       292:{1,3,4,6}:{(277,1),(278,1),(283,1),(301,1),(302,1),(303,1),(312,1)}
       293:{3,5,6}:{(279,1),(280,1),(304,1)}
       294:{3,4,7}:{(280,1),(282,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(302,1),(304,1),(305,1)}
       296:{2,3,5}:{(283,1),(303,1),(305,1)}
       297:{2,4,6}:{(284,1),(285,1),(286,1),(306,1)}
       298:{3,5,7}:{(285,1),(306,1),(307,1),(314,1)}
       299:{2,3,5,6}:{(286,1),(287,1),(288,1),(290,1),(306,1),(308,1),(309,1),(314,1)}
       300:{2,4,7}:{(287,1),(291,1),(307,1),(308,1)}
       301:{2,4,6}:{(288,1),(289,1),(292,1),(309,1)}
       302:{1,4,6}:{(290,1),(291,1),(295,1),(308,1),(310,1)}
       303:{1,3,5}:{(292,1),(296,1),(309,1),(310,1),(314,1)}
       304:{3,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       305:{2,4,5}:{(295,1),(296,1),(310,1),(311,1)}
       306:{3,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(298,1),(300,1),(312,1)}
       308:{2,4,6}:{(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{2,5}:{(301,1),(303,1)}
       310:{1,4,5}:{(302,1),(303,1),(305,1),(313,1)}
       311:{3,4,5}:{(304,1),(305,1)}
       312:{3,4,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,5}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2068 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2069 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(26,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(108,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(128,1),(161,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(90,1),(97,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(131,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(69,1)}
        13:{1,2,3,7}:{(4,1),(27,1),(71,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(26,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(108,1),(150,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(146,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(78,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(115,1),(120,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(12,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(90,1),(93,1)}
        26:{1,2,5}:{(12,1),(43,1)}
        27:{1,2,4,7}:{(12,1),(13,1),(44,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(45,1),(48,1),(49,1),(88,1),(90,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(90,1),(137,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(131,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,5}:{(18,1),(43,1),(54,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(56,1),(60,1),(103,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(108,1),(111,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,5}:{(25,1),(26,1),(33,1),(61,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(27,1),(34,1),(62,1),(67,1),(71,1),(115,1)}
        45:{1,2,5,6}:{(26,1),(29,1),(35,1),(66,1),(68,1),(69,1),(112,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(67,1),(69,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(68,1),(71,1),(113,1),(115,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(78,1),(126,1),(156,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(115,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(168,1)}
        54:{2,4,5}:{(33,1),(65,1),(72,1),(78,1)}
        55:{2,3,5,6}:{(33,1),(35,1),(39,1),(66,1),(73,1),(78,1),(80,1),(81,1),(126,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(67,1),(79,1),(81,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(78,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,5}:{(41,1),(43,1),(85,1)}
        62:{2,3,4,7}:{(41,1),(44,1),(87,1),(89,1),(131,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(43,1),(54,1),(85,1),(90,1)}
        66:{1,3,5,6}:{(43,1),(45,1),(48,1),(55,1),(86,1),(90,1),(92,1),(93,1),(137,1)}
        67:{1,3,5,7}:{(43,1),(44,1),(46,1),(56,1),(87,1),(91,1),(93,1)}
        68:{1,2,5,7}:{(45,1),(49,1),(57,1),(92,1),(94,1),(134,1)}
        69:{1,2,6}:{(46,1),(93,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(90,1),(95,1),(96,1),(128,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(97,1)}
        73:{3,5,6}:{(50,1),(97,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(103,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,6}:{(54,1),(55,1),(90,1),(97,1),(103,1)}
        79:{2,4,5,7}:{(54,1),(56,1),(91,1),(98,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,7}:{(55,1),(57,1),(60,1),(92,1),(99,1),(103,1),(105,1),(144,1)}
        81:{2,3,6}:{(56,1),(93,1),(104,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(103,1),(106,1)}
        85:{2,4,5}:{(61,1),(65,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(61,1),(64,1),(66,1),(108,1),(110,1),(111,1),(112,1),(145,1),(150,1)}
        87:{2,3,5,7}:{(61,1),(62,1),(67,1),(109,1),(111,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,6}:{(65,1),(66,1),(78,1),(108,1),(115,1)}
        91:{1,4,5,7}:{(65,1),(67,1),(79,1),(109,1),(115,1),(116,1),(153,1)}
        92:{1,3,5,7}:{(66,1),(68,1),(71,1),(80,1),(110,1),(115,1),(117,1),(153,1)}
        93:{1,3,6}:{(67,1),(69,1),(81,1),(111,1),(116,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(115,1),(118,1),(146,1)}
        97:{3,4,6}:{(72,1),(73,1),(78,1),(120,1)}
        98:{3,4,5,7}:{(72,1),(79,1),(120,1),(121,1),(155,1)}
        99:{3,5,7}:{(73,1),(74,1),(120,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(78,1),(83,1),(114,1),(119,1),(124,1),(126,1)}
       103:{2,4,7}:{(78,1),(80,1),(115,1),(120,1)}
       104:{2,4,6}:{(79,1),(81,1),(116,1),(121,1),(126,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(125,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(128,1)}
       108:{2,4,6}:{(85,1),(86,1),(90,1),(128,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(87,1),(91,1),(129,1),(131,1),(132,1),(163,1)}
       110:{2,3,5,7}:{(86,1),(89,1),(92,1),(131,1),(133,1),(134,1),(159,1),(163,1)}
       111:{2,3,6}:{(87,1),(93,1),(132,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(90,1),(95,1),(102,1),(130,1),(135,1),(137,1)}
       115:{1,4,7}:{(90,1),(92,1),(103,1),(131,1)}
       116:{1,4,6}:{(91,1),(93,1),(104,1),(132,1),(137,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(136,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(97,1),(102,1),(139,1),(141,1)}
       120:{3,4,7}:{(97,1),(99,1),(103,1)}
       121:{3,4,6}:{(98,1),(104,1),(141,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(103,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(105,1),(136,1),(140,1),(144,1)}
       126:{2,5,6}:{(104,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1),(146,1)}
       129:{3,4,5,7}:{(107,1),(109,1),(146,1),(147,1),(168,1)}
       130:{2,4,5,6}:{(108,1),(112,1),(114,1),(145,1),(148,1),(150,1),(169,1)}
       131:{2,4,7}:{(108,1),(110,1),(115,1),(146,1)}
       132:{2,4,6}:{(109,1),(111,1),(116,1),(147,1),(150,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(149,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(115,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,4,6,7}:{(115,1),(116,1),(117,1),(125,1),(149,1),(153,1)}
       137:{1,5,6}:{(116,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(120,1),(124,1),(154,1),(155,1)}
       140:{3,4,6,7}:{(120,1),(121,1),(122,1),(125,1),(155,1),(157,1)}
       141:{3,5,6}:{(121,1),(126,1),(155,1),(156,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(155,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(155,1)}
       145:{3,5,6}:{(128,1),(130,1),(159,1)}
       146:{3,4,7}:{(128,1),(131,1),(159,1)}
       147:{3,4,6}:{(129,1),(132,1),(161,1)}
       148:{2,4,5,7}:{(130,1),(131,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,4,6,7}:{(131,1),(132,1),(133,1),(136,1),(160,1),(163,1)}
       150:{2,5,6}:{(132,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       156:{4,5,6}:{(141,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{3,4,6,7}:{(146,1),(147,1),(149,1),(167,1),(168,1),(174,1)}
       161:{3,5,6}:{(147,1),(150,1),(168,1),(169,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(168,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(155,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       169:{4,5,6}:{(161,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2070 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2071 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

2072 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(92,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(43,1),(49,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(70,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(112,1),(139,1),(143,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(25,1),(36,1),(62,1),(75,1),(105,1),(106,1),(112,1),(116,1),(118,1),(139,1),(143,1),(145,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(92,1),(94,1),(132,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(13,1),(14,1),(91,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(93,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(14,1),(18,1),(19,1),(43,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(156,1)}
        12:{1,3,5,6}:{(5,1),(16,1),(21,1),(22,1),(95,1),(124,1),(132,1),(138,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,4,5,7}:{(7,1),(10,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(11,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(12,1),(28,1),(29,1),(114,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{2,4,5,6}:{(10,1),(25,1),(31,1),(62,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(31,1)}
        20:{2,3,4,6,7}:{(11,1),(27,1),(33,1),(34,1),(66,1),(69,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        21:{1,3,4,6}:{(12,1),(28,1),(35,1),(36,1),(145,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(29,1),(36,1),(37,1),(62,1),(74,1),(104,1),(116,1),(119,1),(143,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(134,1)}
        25:{1,4,5,6}:{(14,1),(18,1),(38,1),(41,1),(84,1),(91,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(19,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(21,1),(45,1),(129,1),(134,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(22,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        32:{3,4,5,7}:{(19,1),(48,1),(50,1),(156,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(43,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(44,1),(51,1),(52,1),(88,1),(89,1),(91,1),(124,1),(129,1),(132,1),(134,1),(159,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(53,1),(95,1),(137,1),(160,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(45,1),(53,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(46,1),(55,1),(56,1),(84,1),(95,1),(98,1),(124,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(73,1),(99,1),(104,1),(115,1),(150,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(31,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(32,1),(35,1),(58,1),(61,1),(63,1),(71,1),(101,1),(107,1),(114,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(36,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(37,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,3,5,6}:{(31,1),(33,1),(62,1),(69,1),(70,1),(104,1)}
        50:{2,4,5,7}:{(32,1),(33,1),(69,1),(71,1),(142,1),(166,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(64,1),(70,1),(71,1),(72,1),(114,1),(169,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(110,1),(112,1),(115,1),(143,1),(168,1)}
        53:{2,4,5}:{(35,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        54:{2,3,4,6}:{(36,1),(66,1),(74,1),(76,1),(104,1),(119,1),(150,1),(153,1),(165,1),(168,1)}
        55:{1,4,6}:{(36,1),(37,1),(67,1),(75,1)}
        56:{1,2,5,6}:{(37,1),(68,1),(77,1),(116,1),(143,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(134,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(48,1),(78,1),(83,1),(91,1),(120,1),(124,1),(132,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(53,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(52,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(54,1),(85,1),(89,1),(131,1),(134,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(55,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(56,1),(90,1),(127,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,3,5,6}:{(49,1),(51,1),(84,1),(91,1),(92,1),(124,1),(132,1)}
        71:{1,4,5,7}:{(50,1),(51,1),(91,1),(93,1),(129,1),(160,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(88,1),(94,1),(131,1),(132,1),(158,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,4,5}:{(53,1),(55,1),(95,1),(164,1)}
        76:{1,3,4,6}:{(54,1),(55,1),(89,1),(95,1),(97,1),(98,1),(124,1),(137,1),(138,1),(164,1),(172,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(90,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(115,1),(151,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(74,1),(104,1),(107,1),(114,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(75,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(72,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(73,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(76,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(77,1),(110,1),(111,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,5,6}:{(70,1),(72,1),(112,1),(143,1)}
        93:{2,4,5,7}:{(71,1),(72,1),(112,1),(114,1),(115,1),(151,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(109,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(116,1),(174,1)}
        96:{1,2,4,5}:{(75,1),(77,1),(116,1),(117,1),(153,1)}
        97:{2,4,6}:{(76,1),(110,1),(116,1),(119,1),(143,1),(153,1)}
        98:{1,3,6}:{(77,1),(111,1),(117,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(132,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(92,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(95,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(93,1),(96,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(94,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(97,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(98,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{2,3,5,6}:{(92,1),(94,1),(126,1),(132,1),(133,1),(158,1),(163,1),(173,1)}
       114:{3,5,7}:{(93,1),(132,1),(134,1),(163,1)}
       115:{2,4,7}:{(94,1),(129,1),(133,1),(134,1)}
       116:{2,5}:{(95,1),(97,1)}
       117:{1,3,5}:{(96,1),(98,1),(136,1),(137,1)}
       118:{1,2,4,6}:{(97,1),(130,1),(135,1),(138,1),(157,1),(164,1),(172,1)}
       119:{2,3,6}:{(97,1),(98,1),(131,1),(136,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(112,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(113,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(116,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(114,1),(117,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(115,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(118,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(119,1),(149,1)}
       132:{3,6}:{(112,1),(114,1)}
       133:{2,4,6}:{(113,1),(115,1),(145,1),(150,1),(151,1)}
       134:{3,4,7}:{(114,1),(115,1),(150,1)}
       135:{1,2,5}:{(116,1),(118,1),(152,1),(174,1)}
       136:{2,3,5}:{(116,1),(117,1),(119,1),(152,1),(153,1)}
       137:{1,3,4}:{(117,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(149,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(132,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(133,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(135,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(137,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(138,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(133,1),(160,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(138,1),(164,1)}
       153:{2,4}:{(136,1),(137,1),(164,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(153,1),(168,1),(170,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(164,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2073 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(32,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(20,1),(21,1),(40,1),(45,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(20,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{1,2,4,5}:{(12,1),(31,1),(32,1),(60,1),(82,1),(90,1)}
        20:{2,4,6}:{(10,1),(12,1),(23,1),(33,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(11,1),(24,1),(34,1),(56,1),(62,1),(83,1)}
        22:{2,3,5}:{(12,1),(32,1),(33,1),(35,1)}
        23:{2,5,6}:{(13,1),(20,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(21,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(36,1),(45,1),(46,1),(66,1),(75,1)}
        32:{1,3,5}:{(19,1),(22,1),(44,1),(45,1),(47,1)}
        33:{2,3,6}:{(20,1),(22,1),(45,1),(49,1)}
        34:{2,4,7}:{(20,1),(21,1),(38,1),(49,1)}
        35:{2,3,4}:{(22,1),(47,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(33,1),(50,1),(52,1),(53,1),(63,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(34,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(90,1)}
        45:{1,3,6}:{(31,1),(32,1),(33,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(31,1),(34,1),(51,1),(62,1),(83,1),(91,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(52,1),(61,1),(63,1),(64,1),(93,1)}
        49:{2,3,7}:{(33,1),(34,1),(62,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(45,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(46,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(49,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(45,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(48,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        62:{1,3,7}:{(45,1),(46,1),(49,1),(76,1)}
        63:{2,3,5}:{(48,1),(69,1),(77,1)}
        64:{2,3,4,7}:{(48,1),(49,1),(70,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(62,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(63,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(61,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(62,1),(91,1)}
        77:{1,3,5}:{(61,1),(63,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2074 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2075 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(40,1),(43,1),(76,1),(83,1),(89,1),(90,1),(141,1),(181,1),(189,1),(220,1),(221,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(108,1),(118,1),(162,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(64,1),(66,1),(104,1),(112,1),(162,1),(170,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(57,1),(105,1),(111,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(44,1),(79,1),(133,1),(140,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(226,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(45,1),(90,1),(141,1),(189,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(192,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(35,1),(81,1),(83,1),(88,1),(89,1),(141,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(70,1),(102,1),(122,1),(156,1),(167,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(54,1),(58,1),(66,1),(102,1),(110,1),(167,1),(171,1),(209,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(57,1),(121,1),(233,1),(236,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(166,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(206,1),(212,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(111,1),(209,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(66,1),(112,1),(117,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(57,1),(69,1),(111,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(48,1),(74,1),(93,1),(140,1),(150,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(189,1),(218,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(32,1),(36,1),(37,1),(139,1),(189,1),(193,1)}
        21:{2,3,4,6}:{(14,1),(35,1),(38,1),(39,1),(81,1),(88,1),(143,1),(191,1),(226,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(82,1),(84,1),(144,1),(149,1),(192,1),(195,1)}
        23:{2,4,5}:{(11,1),(14,1),(35,1),(43,1),(83,1),(143,1)}
        24:{1,4,5,7}:{(12,1),(36,1),(40,1),(44,1),(133,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(37,1),(41,1),(44,1),(45,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,4,6}:{(14,1),(17,1),(43,1),(46,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(45,1),(48,1),(81,1),(141,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(46,1),(48,1),(49,1),(93,1),(95,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(83,1),(141,1)}
        31:{1,2,4,5,6}:{(33,1),(50,1),(73,1),(97,1),(129,1),(147,1),(152,1),(180,1),(189,1),(194,1),(196,1),(198,1),(218,1),(227,1),(244,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(166,1),(174,1)}
        33:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(53,1),(102,1),(106,1),(122,1),(161,1),(170,1),(174,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(209,1)}
        35:{2,3,5}:{(21,1),(23,1),(57,1),(211,1),(236,1)}
        36:{2,4,5,7}:{(20,1),(24,1),(51,1),(55,1),(58,1),(66,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(58,1),(109,1),(209,1),(212,1)}
        38:{2,3,4,7}:{(21,1),(26,1),(56,1),(60,1),(117,1),(169,1),(212,1)}
        39:{1,3,4,6}:{(21,1),(27,1),(57,1),(60,1),(61,1),(69,1),(105,1),(111,1),(121,1),(159,1),(203,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(62,1),(156,1),(166,1),(213,1)}
        41:{1,3,4,6}:{(22,1),(62,1),(63,1),(109,1),(111,1),(166,1),(209,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(26,1),(56,1),(63,1),(64,1),(66,1),(112,1),(169,1),(211,1)}
        43:{1,4,5}:{(23,1),(27,1),(57,1),(159,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(58,1),(62,1),(66,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,4,6}:{(27,1),(30,1),(61,1),(65,1),(68,1),(69,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(67,1),(70,1),(111,1)}
        49:{1,2,5,7}:{(29,1),(30,1),(68,1),(70,1),(112,1)}
        50:{1,3,5,6}:{(31,1),(53,1),(71,1),(72,1),(175,1),(200,1),(209,1),(217,1),(236,1)}
        51:{1,4,5,7}:{(32,1),(36,1),(73,1),(74,1),(93,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(37,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(50,1),(77,1),(78,1),(192,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{2,4,5,6}:{(36,1),(40,1),(73,1),(80,1),(89,1),(129,1),(139,1),(189,1),(227,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(42,1),(81,1),(82,1),(192,1)}
        57:{1,3,5}:{(35,1),(39,1),(43,1),(83,1),(221,1)}
        58:{3,5,7}:{(36,1),(37,1),(80,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(45,1),(75,1),(81,1),(85,1),(86,1),(136,1),(139,1),(146,1),(179,1),(191,1),(193,1),(226,1),(239,1)}
        60:{1,3,4,7}:{(38,1),(39,1),(46,1),(82,1),(87,1),(95,1),(135,1),(183,1)}
        61:{2,4,6}:{(39,1),(83,1),(87,1),(88,1),(141,1),(143,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(80,1),(89,1),(195,1)}
        63:{2,4,6}:{(41,1),(42,1),(81,1),(89,1),(90,1),(141,1)}
        64:{1,4,5,7}:{(42,1),(43,1),(46,1),(82,1),(90,1),(93,1),(183,1),(221,1)}
        65:{1,2,4,5}:{(43,1),(47,1),(83,1),(92,1),(143,1)}
        66:{2,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{1,4,6,7}:{(45,1),(46,1),(48,1),(90,1),(93,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(87,1),(95,1)}
        69:{1,3,6}:{(47,1),(88,1),(92,1),(95,1)}
        70:{1,2,6,7}:{(48,1),(49,1),(141,1)}
        71:{1,3,4,6}:{(50,1),(77,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(78,1),(97,1),(98,1),(129,1),(151,1),(179,1),(196,1),(199,1),(218,1)}
        73:{1,4,5,6}:{(51,1),(55,1),(99,1),(118,1),(166,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(58,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(61,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(71,1),(106,1),(174,1),(212,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(72,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{3,5,6}:{(55,1),(58,1),(109,1),(209,1),(236,1)}
        81:{2,3,6}:{(56,1),(63,1),(111,1),(209,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(60,1),(64,1),(111,1),(112,1)}
        83:{2,5}:{(57,1),(61,1)}
        84:{3,4,5,7}:{(58,1),(109,1),(114,1),(212,1),(236,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(66,1),(102,1),(110,1),(114,1),(115,1),(211,1),(236,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(60,1),(67,1),(103,1),(111,1),(115,1),(116,1),(123,1),(163,1),(164,1),(166,1),(173,1),(174,1),(200,1),(203,1),(206,1),(209,1),(212,1),(232,1),(242,1)}
        87:{2,4,7}:{(60,1),(61,1),(112,1),(117,1)}
        88:{2,3,6}:{(61,1),(69,1),(105,1),(113,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(211,1)}
        90:{1,4,6}:{(63,1),(64,1),(111,1),(118,1)}
        91:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(112,1),(119,1),(120,1),(122,1),(169,1),(170,1),(174,1),(211,1),(213,1)}
        92:{1,3,5}:{(65,1),(69,1),(113,1),(121,1)}
        93:{1,5,7}:{(66,1),(67,1),(118,1)}
        94:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(116,1),(119,1),(122,1),(123,1),(174,1),(207,1),(230,1),(242,1)}
        95:{1,3,7}:{(68,1),(69,1),(117,1)}
        96:{1,3,4,5}:{(71,1),(124,1),(175,1),(213,1),(216,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(106,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(107,1),(126,1),(127,1),(156,1),(175,1),(178,1),(200,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(80,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(83,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(84,1),(96,1),(128,1),(132,1),(144,1),(184,1),(192,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(87,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(88,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(97,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(98,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{3,4,6}:{(80,1),(84,1),(139,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(179,1)}
       111:{1,3,6}:{(81,1),(82,1),(90,1),(141,1)}
       112:{2,5,7}:{(82,1),(83,1),(87,1),(141,1)}
       113:{2,3,5}:{(83,1),(88,1),(92,1),(131,1),(143,1)}
       114:{2,4,5,7}:{(84,1),(85,1),(139,1),(144,1),(193,1),(227,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(93,1),(133,1),(140,1),(144,1),(145,1),(192,1),(195,1),(221,1),(240,1),(244,1)}
       116:{2,4,6,7}:{(86,1),(87,1),(141,1),(145,1),(146,1),(187,1),(189,1),(191,1),(193,1),(218,1),(239,1)}
       117:{2,3,7}:{(87,1),(88,1),(95,1),(135,1)}
       118:{1,5,6}:{(89,1),(90,1),(93,1),(221,1)}
       119:{1,2,4,6}:{(90,1),(91,1),(141,1),(147,1),(148,1),(189,1),(191,1),(194,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(142,1),(148,1),(149,1),(192,1),(195,1)}
       121:{1,3,4}:{(92,1),(143,1)}
       122:{1,2,5,7}:{(93,1),(94,1),(145,1),(147,1),(150,1),(244,1)}
       123:{1,3,6,7}:{(94,1),(95,1),(146,1),(148,1),(150,1),(225,1),(238,1)}
       124:{2,4,5}:{(96,1),(97,1),(151,1),(152,1),(196,1),(229,1)}
       125:{2,3,4,6}:{(97,1),(136,1),(151,1),(153,1),(179,1),(199,1),(226,1),(229,1),(239,1)}
       126:{1,4,6}:{(97,1),(98,1),(137,1),(152,1)}
       127:{1,2,5,6}:{(98,1),(138,1),(154,1),(196,1),(218,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(109,1),(155,1),(166,1),(200,1),(209,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(112,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(113,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(124,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(116,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(117,1)}
       136:{2,3,4,7}:{(106,1),(125,1),(160,1),(164,1),(208,1),(212,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(126,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(127,1),(165,1),(204,1)}
       139:{2,4,6}:{(109,1),(110,1),(114,1),(166,1)}
       140:{1,3,5,6}:{(110,1),(111,1),(115,1),(118,1),(156,1),(166,1),(167,1),(200,1),(209,1)}
       141:{2,6}:{(111,1),(112,1)}
       142:{2,3,5,7}:{(112,1),(113,1),(117,1),(120,1),(158,1),(168,1),(169,1),(211,1)}
       143:{2,4}:{(113,1),(121,1),(159,1)}
       144:{1,4,5,7}:{(114,1),(115,1),(166,1),(170,1),(174,1),(206,1),(213,1),(233,1)}
       145:{2,5,7}:{(115,1),(116,1),(167,1),(211,1),(243,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(163,1),(168,1),(171,1),(208,1),(209,1),(231,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(122,1),(167,1),(172,1),(211,1),(230,1)}
       148:{1,3,6}:{(119,1),(120,1),(168,1),(209,1)}
       149:{1,3,4,7}:{(120,1),(121,1),(169,1),(173,1),(174,1),(212,1)}
       150:{1,3,5,7}:{(122,1),(123,1),(171,1),(172,1),(174,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,4,5}:{(124,1),(126,1),(175,1),(237,1)}
       153:{1,3,4,6}:{(125,1),(126,1),(164,1),(175,1),(177,1),(178,1),(200,1),(216,1),(217,1),(237,1),(242,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(165,1),(176,1),(177,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(141,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(142,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(143,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(151,1),(179,1),(184,1),(192,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(152,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(145,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(146,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(153,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(154,1),(187,1),(188,1)}
       166:{1,4,6}:{(139,1),(140,1),(144,1),(189,1)}
       167:{2,5,6}:{(140,1),(141,1),(145,1),(189,1),(218,1)}
       168:{2,3,6}:{(141,1),(142,1),(148,1),(182,1),(191,1)}
       169:{2,4,7}:{(142,1),(143,1),(149,1),(183,1),(191,1)}
       170:{2,4,5,7}:{(144,1),(145,1),(189,1),(192,1),(193,1),(227,1)}
       171:{2,3,5,7}:{(145,1),(146,1),(150,1),(186,1),(190,1),(192,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(150,1),(190,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(191,1),(194,1),(195,1),(226,1)}
       174:{1,4,7}:{(150,1),(193,1),(194,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(196,1),(244,1)}
       176:{1,2,4,5}:{(152,1),(154,1),(196,1),(197,1),(229,1)}
       177:{2,4,6}:{(153,1),(187,1),(196,1),(199,1),(218,1),(229,1)}
       178:{1,3,6}:{(154,1),(188,1),(197,1),(199,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(209,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(167,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(168,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(169,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(175,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(170,1),(176,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(171,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(177,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(178,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(209,1)}
       190:{2,3,5,6}:{(167,1),(168,1),(171,1),(172,1),(202,1),(209,1),(210,1),(211,1),(231,1),(236,1),(243,1)}
       191:{2,4,6}:{(168,1),(169,1),(173,1),(203,1),(211,1)}
       192:{3,5,7}:{(170,1),(209,1),(212,1),(236,1)}
       193:{2,4,7}:{(171,1),(174,1),(206,1),(210,1),(212,1)}
       194:{1,4,6}:{(172,1),(174,1),(210,1),(213,1)}
       195:{1,3,5}:{(173,1),(211,1),(213,1),(236,1)}
       196:{2,5}:{(175,1),(177,1)}
       197:{1,3,5}:{(176,1),(178,1),(215,1),(216,1)}
       198:{1,2,4,6}:{(177,1),(207,1),(214,1),(217,1),(230,1),(237,1),(242,1)}
       199:{2,3,6}:{(177,1),(178,1),(208,1),(215,1),(217,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(189,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(190,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(191,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(196,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(192,1),(197,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(193,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(198,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(199,1),(225,1)}
       209:{3,6}:{(189,1),(192,1)}
       210:{2,4,6}:{(190,1),(193,1),(194,1),(220,1),(226,1),(227,1)}
       211:{2,5}:{(191,1),(195,1),(221,1)}
       212:{3,4,7}:{(192,1),(193,1),(226,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(198,1),(228,1),(244,1)}
       215:{2,3,5}:{(196,1),(197,1),(199,1),(228,1),(229,1)}
       216:{1,3,4}:{(197,1),(229,1)}
       217:{1,3,6}:{(198,1),(199,1),(225,1),(228,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(209,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(210,1),(233,1)}
       221:{1,5}:{(203,1),(211,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(214,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(215,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(212,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(217,1)}
       226:{3,4,6}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4,5}:{(210,1),(211,1),(213,1),(233,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(217,1),(237,1)}
       229:{2,4}:{(215,1),(216,1),(237,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(226,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(227,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(228,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(229,1),(239,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(236,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(237,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2076 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2077 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2078 :   0:{1,2,3,6,7}:{(2,1),(3,1),(47,1),(111,1),(175,1),(180,1),(386,1),(420,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(47,1),(51,1),(91,1),(180,1),(272,1),(303,1),(309,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(25,1),(79,1),(332,1),(368,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(151,1),(235,1),(241,1),(355,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(71,1),(135,1),(465,1)}
         5:{1,3,4,6,7}:{(3,1),(10,1),(11,1),(12,1),(39,1),(47,1),(176,1),(297,1),(302,1),(308,1),(420,1),(501,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(12,1),(108,1),(501,1)}
         7:{1,2,5,7}:{(3,1),(11,1),(14,1),(202,1),(303,1)}
         8:{1,3,4,6}:{(4,1),(12,1),(15,1),(16,1),(47,1),(187,1),(309,1)}
         9:{1,2,4,5}:{(4,1),(16,1),(42,1),(303,1),(417,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(24,1),(61,1),(75,1),(126,1),(140,1),(151,1),(237,1),(247,1),(252,1),(374,1),(469,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(363,1),(365,1)}
        12:{1,3,4,7}:{(6,1),(8,1),(24,1),(25,1),(368,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(21,1),(25,1),(26,1),(66,1)}
        14:{1,2,5,6}:{(7,1),(22,1),(26,1),(146,1),(355,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(71,1),(75,1),(141,1),(258,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(32,1),(64,1),(71,1),(122,1),(146,1),(218,1),(249,1),(364,1),(369,1),(465,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(44,1),(98,1),(178,1),(298,1),(322,1),(529,1)}
        19:{1,3,4,6,7}:{(10,1),(34,1),(35,1),(45,1),(85,1),(89,1),(110,1),(178,1),(199,1),(205,1),(322,1),(426,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(191,1),(202,1),(305,1),(313,1)}
        21:{1,4,5,7}:{(11,1),(36,1),(39,1),(417,1),(501,1)}
        22:{1,3,5,6}:{(11,1),(14,1),(37,1),(39,1),(47,1),(297,1),(304,1)}
        23:{1,3,4,5}:{(16,1),(42,1),(43,1),(417,1),(421,1)}
        24:{2,3,4,7}:{(12,1),(15,1),(45,1),(46,1),(108,1),(318,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(39,1),(47,1),(103,1)}
        27:{1,2,5,6,7}:{(14,1),(40,1),(48,1),(202,1),(283,1),(392,1),(409,1),(419,1)}
        28:{1,2,3,6}:{(41,1),(44,1),(49,1),(206,1)}
        29:{1,3,4,6}:{(15,1),(45,1),(49,1),(50,1),(105,1),(107,1),(110,1),(206,1)}
        30:{2,3,5}:{(15,1),(16,1),(42,1),(50,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(43,1),(47,1),(51,1),(52,1),(309,1),(422,1)}
        32:{1,2,4,5,7}:{(17,1),(48,1),(52,1),(100,1),(108,1),(171,1),(202,1),(280,1),(310,1),(419,1),(423,1),(501,1)}
        33:{1,2,3,5,7}:{(18,1),(55,1),(56,1),(57,1),(127,1),(354,1),(376,1),(523,1),(547,1)}
        34:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(73,1),(128,1),(145,1),(155,1),(247,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(57,1),(58,1),(59,1),(260,1),(262,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(58,1),(60,1),(61,1),(371,1),(469,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(59,1),(61,1),(75,1),(136,1),(146,1),(237,1),(242,1)}
        38:{1,3,4,5,7}:{(21,1),(23,1),(25,1),(60,1),(66,1),(67,1),(72,1),(147,1)}
        39:{1,4,6}:{(21,1),(22,1),(61,1)}
        40:{1,3,5,6,7}:{(22,1),(27,1),(62,1),(68,1),(76,1),(147,1),(356,1),(365,1),(466,1)}
        41:{1,2,3,5}:{(28,1),(69,1),(77,1),(152,1)}
        42:{2,4,5}:{(23,1),(30,1),(70,1),(71,1)}
        43:{1,3,4,6}:{(23,1),(31,1),(71,1),(72,1),(465,1),(467,1)}
        44:{1,2,3,7}:{(28,1),(73,1),(265,1)}
        45:{1,3,4,7}:{(24,1),(29,1),(73,1),(74,1),(154,1),(265,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(30,1),(66,1),(74,1),(75,1)}
        47:{1,3,6}:{(25,1),(26,1),(75,1)}
        48:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(68,1),(76,1),(151,1),(225,1),(338,1),(440,1)}
        49:{1,2,4,6}:{(28,1),(29,1),(69,1),(73,1),(77,1),(155,1)}
        50:{1,3,5}:{(29,1),(30,1),(70,1),(77,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(71,1),(75,1),(78,1),(79,1),(146,1),(218,1),(258,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(72,1),(76,1),(79,1),(368,1),(468,1)}
        53:{1,2,3,5,6}:{(41,1),(80,1),(81,1),(98,1),(112,1),(169,1),(200,1),(206,1),(279,1),(282,1),(285,1),(320,1)}
        54:{1,3,4,5,6}:{(43,1),(82,1),(83,1),(99,1),(162,1),(189,1),(287,1),(311,1),(398,1),(422,1)}
        55:{1,2,3,5,6}:{(33,1),(84,1),(87,1),(98,1),(173,1),(178,1),(200,1),(294,1),(320,1),(400,1),(495,1),(536,1)}
        56:{1,2,4,7}:{(33,1),(84,1),(85,1),(406,1),(426,1)}
        57:{1,2,5,7}:{(34,1),(35,1),(87,1),(200,1),(305,1)}
        58:{1,4,5,7}:{(35,1),(36,1),(89,1),(319,1),(426,1)}
        59:{1,3,5,6}:{(35,1),(37,1),(87,1),(89,1),(110,1),(178,1),(201,1)}
        60:{3,4,5,7}:{(36,1),(94,1),(191,1),(421,1),(502,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(89,1),(94,1)}
        62:{2,3,5,6,7}:{(37,1),(40,1),(90,1),(95,1),(111,1),(191,1),(202,1),(298,1),(305,1),(392,1),(425,1),(482,1)}
        63:{2,3,4,5}:{(42,1),(96,1),(97,1),(196,1),(278,1),(421,1)}
        64:{1,4,5,6}:{(39,1),(92,1),(99,1),(100,1),(304,1)}
        65:{1,2,3,5,7}:{(41,1),(44,1),(98,1),(101,1),(109,1),(200,1),(203,1),(377,1),(400,1),(471,1)}
        66:{2,4,5,7}:{(38,1),(42,1),(46,1),(102,1),(103,1),(108,1),(202,1)}
        67:{1,3,4,6}:{(38,1),(39,1),(47,1),(94,1),(99,1),(103,1)}
        68:{1,4,6,7}:{(39,1),(40,1),(95,1),(100,1),(501,1)}
        69:{1,2,4}:{(41,1),(105,1)}
        70:{1,4,5}:{(42,1),(50,1),(107,1)}
        71:{2,4,6}:{(42,1),(43,1),(51,1),(107,1),(108,1)}
        72:{1,3,4,7}:{(43,1),(52,1),(108,1),(501,1),(502,1)}
        73:{1,2,4,7}:{(44,1),(45,1),(49,1),(109,1)}
        74:{1,3,5,7}:{(45,1),(46,1),(50,1),(102,1),(109,1),(110,1)}
        75:{2,3,6}:{(46,1),(47,1),(103,1),(110,1)}
        76:{1,3,6,7}:{(47,1),(48,1),(52,1),(111,1),(482,1)}
        77:{1,2,5}:{(49,1),(50,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(107,1),(110,1),(112,1),(113,1),(201,1),(206,1)}
        79:{2,3,5,7}:{(51,1),(52,1),(108,1),(111,1),(113,1),(202,1),(280,1),(318,1)}
        80:{1,2,3,5,7}:{(53,1),(116,1),(118,1),(157,1),(221,1),(223,1),(265,1),(340,1),(376,1)}
        81:{1,2,4,6}:{(53,1),(69,1),(118,1),(120,1),(121,1),(339,1),(375,1)}
        82:{2,4,5,6}:{(54,1),(71,1),(115,1),(122,1),(123,1),(146,1),(218,1),(339,1),(443,1)}
        83:{1,3,4,5,7}:{(54,1),(72,1),(119,1),(123,1),(147,1),(219,1),(251,1),(346,1),(370,1),(447,1),(468,1)}
        84:{1,2,4,6}:{(55,1),(56,1),(124,1),(125,1),(350,1),(375,1),(448,1)}
        85:{1,3,4,7}:{(56,1),(124,1),(126,1),(127,1),(547,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(125,1),(127,1),(128,1),(132,1)}
        87:{1,2,5,6}:{(57,1),(59,1),(128,1),(155,1),(242,1)}
        88:{1,3,4,5,7}:{(58,1),(60,1),(127,1),(132,1),(133,1),(229,1),(243,1),(351,1)}
        89:{1,4,6}:{(58,1),(59,1),(61,1)}
        90:{1,3,5,6,7}:{(59,1),(62,1),(129,1),(134,1),(156,1),(238,1),(243,1),(262,1),(376,1)}
        91:{1,2,3,5}:{(114,1),(135,1),(213,1),(248,1)}
        92:{2,4,5,6}:{(61,1),(64,1),(130,1),(136,1),(137,1),(146,1),(242,1)}
        93:{2,3,4,5,7}:{(60,1),(63,1),(66,1),(132,1),(138,1),(139,1),(144,1),(254,1),(255,1),(336,1),(347,1),(371,1),(439,1),(452,1),(469,1),(505,1)}
        94:{3,4,6}:{(60,1),(61,1),(136,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(68,1),(134,1),(137,1),(140,1),(469,1)}
        96:{1,3,4,5}:{(63,1),(70,1),(142,1),(143,1),(152,1),(248,1),(330,1)}
        97:{2,3,4,6}:{(63,1),(71,1),(115,1),(143,1),(144,1),(258,1),(339,1),(467,1)}
        98:{1,2,3,6}:{(65,1),(145,1),(155,1),(263,1),(504,1)}
        99:{1,3,5,6}:{(64,1),(67,1),(136,1),(146,1),(147,1)}
       100:{1,4,5,7}:{(64,1),(68,1),(137,1),(147,1),(365,1)}
       101:{1,2,4,7}:{(65,1),(69,1),(145,1),(148,1),(448,1)}
       102:{1,4,5,7}:{(66,1),(70,1),(74,1),(150,1),(154,1),(262,1)}
       103:{2,4,6}:{(66,1),(67,1),(75,1),(146,1),(150,1)}
       104:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(76,1),(140,1),(147,1),(151,1)}
       105:{1,3,4}:{(69,1),(141,1),(152,1)}
       106:{1,2,4,5}:{(69,1),(70,1),(77,1),(142,1),(152,1),(153,1)}
       107:{1,4,6}:{(70,1),(71,1),(78,1),(154,1)}
       108:{2,4,7}:{(71,1),(72,1),(79,1),(154,1)}
       109:{1,2,5,7}:{(73,1),(74,1),(77,1),(155,1)}
       110:{1,3,6}:{(74,1),(75,1),(150,1),(155,1)}
       111:{2,3,6,7}:{(75,1),(76,1),(79,1),(151,1),(156,1),(338,1)}
       112:{1,2,5,6}:{(77,1),(78,1),(153,1),(155,1),(157,1),(218,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(154,1),(156,1),(157,1),(262,1),(265,1)}
       114:{1,2,3,6}:{(91,1),(158,1),(159,1),(309,1)}
       115:{2,3,5,6}:{(82,1),(97,1),(162,1),(163,1),(422,1)}
       116:{1,2,3,6,7}:{(80,1),(98,1),(164,1),(208,1),(285,1),(322,1),(377,1),(394,1)}
       117:{1,4,5,6,7}:{(100,1),(160,1),(165,1),(383,1),(389,1),(486,1)}
       118:{1,2,4,7}:{(80,1),(81,1),(166,1),(395,1),(426,1)}
       119:{1,3,4,6,7}:{(83,1),(165,1),(168,1),(273,1),(277,1),(389,1),(482,1)}
       120:{1,3,4,6}:{(81,1),(105,1),(161,1),(166,1),(169,1),(206,1),(285,1)}
       121:{1,2,4,5}:{(81,1),(169,1),(200,1),(278,1),(319,1)}
       122:{1,4,5,6}:{(82,1),(107,1),(162,1),(171,1),(201,1),(387,1),(479,1)}
       123:{2,4,5,7}:{(82,1),(83,1),(108,1),(163,1),(168,1),(171,1),(202,1),(280,1),(395,1),(485,1)}
       124:{1,3,4,6}:{(84,1),(85,1),(172,1),(173,1),(178,1),(487,1),(536,1)}
       125:{1,2,4,5}:{(84,1),(173,1),(200,1),(290,1),(319,1)}
       126:{2,3,4,7}:{(85,1),(172,1),(176,1),(177,1),(406,1),(538,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(173,1),(177,1),(178,1)}
       128:{1,2,4,6}:{(86,1),(87,1),(89,1),(178,1),(185,1)}
       129:{1,2,5,6,7}:{(87,1),(90,1),(179,1),(208,1),(305,1),(321,1),(383,1),(392,1)}
       130:{1,4,5,6}:{(89,1),(92,1),(181,1),(182,1),(201,1)}
       131:{1,2,3,5,7}:{(91,1),(158,1),(175,1),(180,1),(183,1),(270,1),(289,1),(296,1),(303,1),(306,1)}
       132:{2,4,5,7}:{(88,1),(177,1),(184,1),(185,1),(290,1),(305,1),(406,1)}
       133:{1,3,4,6}:{(88,1),(89,1),(94,1),(178,1),(181,1),(185,1)}
       134:{1,4,6,7}:{(89,1),(90,1),(95,1),(182,1),(426,1)}
       135:{1,2,4}:{(91,1),(187,1)}
       136:{3,5,6}:{(92,1),(94,1),(191,1)}
       137:{2,4,5,7}:{(92,1),(95,1),(100,1),(182,1),(191,1),(202,1),(305,1)}
       138:{1,3,4,5,7}:{(93,1),(96,1),(102,1),(184,1),(193,1),(194,1),(198,1),(203,1),(306,1),(315,1),(319,1),(384,1),(401,1),(417,1),(421,1),(426,1),(491,1),(501,1),(502,1),(527,1)}
       139:{2,3,4,6}:{(93,1),(94,1),(103,1),(185,1),(190,1),(194,1),(316,1),(393,1),(424,1),(481,1),(530,1)}
       140:{3,4,6,7}:{(94,1),(95,1),(191,1),(482,1),(502,1)}
       141:{2,3,4}:{(105,1),(187,1),(196,1)}
       142:{2,4,5}:{(96,1),(196,1),(197,1)}
       143:{1,3,4,6}:{(96,1),(97,1),(107,1),(162,1),(197,1),(198,1),(206,1),(309,1),(387,1)}
       144:{2,3,4,7}:{(97,1),(108,1),(163,1),(198,1),(318,1),(395,1),(502,1)}
       145:{1,2,4,6}:{(98,1),(101,1),(199,1),(200,1)}
       146:{2,5,6}:{(99,1),(103,1),(201,1),(202,1)}
       147:{1,3,5,7}:{(99,1),(100,1),(104,1),(191,1),(202,1)}
       148:{1,3,4,7}:{(101,1),(105,1),(192,1),(199,1),(203,1),(426,1),(487,1)}
       149:{1,2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(193,1),(200,1),(203,1),(204,1),(207,1),(319,1),(321,1),(426,1),(471,1),(488,1),(527,1),(537,1)}
       150:{1,4,6}:{(102,1),(103,1),(110,1),(201,1)}
       151:{2,4,6,7}:{(103,1),(104,1),(108,1),(111,1),(202,1),(205,1)}
       152:{1,3,5}:{(105,1),(106,1),(196,1),(206,1)}
       153:{1,2,4,6}:{(106,1),(107,1),(112,1),(197,1),(206,1),(207,1)}
       154:{1,4,7}:{(107,1),(108,1),(113,1)}
       155:{1,2,6}:{(109,1),(110,1)}
       156:{1,3,6,7}:{(110,1),(111,1),(113,1),(205,1),(208,1)}
       157:{1,2,5,7}:{(112,1),(113,1),(207,1),(208,1),(280,1)}
       158:{1,2,3,7}:{(114,1),(211,1),(368,1)}
       159:{1,2,4,6}:{(114,1),(135,1),(211,1),(212,1),(213,1),(329,1)}
       160:{2,4,5,6,7}:{(117,1),(137,1),(210,1),(214,1),(222,1),(327,1),(333,1),(440,1),(515,1)}
       161:{2,3,4,6}:{(120,1),(141,1),(212,1),(215,1),(217,1),(258,1),(337,1),(339,1)}
       162:{1,3,5,6}:{(115,1),(122,1),(143,1),(218,1),(219,1)}
       163:{2,3,5,7}:{(115,1),(123,1),(144,1),(216,1),(219,1),(468,1)}
       164:{1,2,4,6,7}:{(116,1),(118,1),(145,1),(220,1),(221,1),(224,1),(427,1),(444,1),(504,1)}
       165:{1,3,5,6,7}:{(117,1),(119,1),(147,1),(214,1),(222,1),(447,1)}
       166:{1,3,4,7}:{(118,1),(120,1),(215,1),(223,1),(265,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(221,1),(223,1),(224,1),(336,1),(341,1)}
       168:{2,4,6,7}:{(119,1),(123,1),(216,1),(222,1),(225,1),(338,1)}
       169:{1,3,5}:{(120,1),(121,1),(217,1)}
       170:{1,2,4,5,6}:{(121,1),(122,1),(153,1),(218,1),(224,1),(227,1),(228,1),(261,1),(339,1),(369,1),(375,1),(443,1),(445,1)}
       171:{1,4,5,7}:{(122,1),(123,1),(154,1),(219,1),(225,1),(262,1),(438,1),(512,1)}
       172:{2,3,4,6}:{(124,1),(126,1),(231,1),(232,1),(237,1),(350,1),(449,1),(518,1)}
       173:{1,3,5}:{(124,1),(125,1),(232,1)}
       174:{1,2,4,5,6}:{(125,1),(128,1),(130,1),(233,1),(234,1),(242,1),(261,1),(350,1),(361,1),(369,1),(375,1),(460,1),(517,1)}
       175:{1,2,3,7}:{(230,1),(235,1),(520,1)}
       176:{1,3,4,7}:{(126,1),(231,1),(235,1),(236,1),(455,1),(520,1)}
       177:{2,3,5,7}:{(126,1),(127,1),(132,1),(232,1),(236,1),(237,1)}
       178:{1,3,6}:{(127,1),(128,1),(237,1)}
       179:{1,2,4,6,7}:{(128,1),(129,1),(134,1),(234,1),(238,1),(247,1),(432,1),(440,1),(507,1)}
       180:{1,2,3,6}:{(131,1),(241,1),(329,1),(355,1),(366,1)}
       181:{1,3,5,6}:{(130,1),(133,1),(136,1),(242,1),(243,1)}
       182:{1,4,5,7}:{(130,1),(134,1),(137,1),(243,1),(262,1)}
       183:{1,2,4,7}:{(131,1),(135,1),(241,1),(244,1),(348,1)}
       184:{1,4,5,7}:{(132,1),(236,1),(246,1),(349,1),(365,1),(455,1)}
       185:{2,4,6}:{(132,1),(133,1),(237,1),(242,1),(246,1)}
       186:{1,3,4,6,7}:{(133,1),(134,1),(140,1),(238,1),(243,1),(247,1),(351,1)}
       187:{1,3,4}:{(135,1),(141,1),(248,1)}
       188:{1,2,4,5}:{(135,1),(142,1),(213,1),(248,1),(249,1),(330,1)}
       189:{3,4,5,6}:{(136,1),(250,1),(251,1),(467,1),(513,1)}
       190:{2,3,5,6}:{(136,1),(139,1),(146,1),(242,1),(250,1),(253,1),(254,1),(443,1),(513,1),(544,1)}
       191:{3,5,7}:{(136,1),(137,1),(140,1)}
       192:{2,3,4,7}:{(141,1),(148,1),(244,1),(252,1),(255,1),(449,1),(469,1)}
       193:{2,4,5,7}:{(138,1),(142,1),(255,1),(256,1),(259,1),(371,1),(373,1),(450,1),(469,1),(519,1)}
       194:{1,3,4,6}:{(138,1),(139,1),(150,1),(246,1),(253,1),(256,1),(263,1),(366,1),(375,1),(436,1),(465,1),(467,1),(542,1)}
       195:{2,3,4,6,7}:{(139,1),(140,1),(144,1),(151,1),(216,1),(247,1),(254,1),(257,1),(333,1),(374,1),(429,1),(444,1),(452,1),(469,1),(514,1),(545,1)}
       196:{2,3,5}:{(141,1),(142,1),(152,1),(248,1),(258,1)}
       197:{2,4,6}:{(142,1),(143,1),(218,1),(258,1),(259,1)}
       198:{1,3,4,7}:{(143,1),(144,1),(154,1),(219,1),(259,1),(265,1),(368,1),(438,1)}
       199:{1,3,4,6}:{(145,1),(148,1),(252,1),(260,1),(263,1),(375,1)}
       200:{1,2,5}:{(145,1),(260,1)}
       201:{1,5,6}:{(146,1),(150,1),(262,1)}
       202:{2,5,7}:{(146,1),(147,1),(151,1),(262,1)}
       203:{1,3,5,7}:{(148,1),(149,1),(152,1),(255,1),(260,1),(263,1),(265,1),(516,1),(547,1)}
       204:{1,2,4,6}:{(149,1),(150,1),(155,1),(256,1),(261,1),(263,1),(375,1),(504,1),(542,1)}
       205:{1,4,6,7}:{(150,1),(151,1),(154,1),(156,1),(262,1)}
       206:{1,3,6}:{(152,1),(153,1),(258,1),(265,1)}
       207:{1,2,4,7}:{(153,1),(154,1),(157,1),(259,1),(265,1)}
       208:{1,2,6,7}:{(155,1),(156,1),(157,1),(338,1)}
       209:{1,2,3,6,7}:{(158,1),(180,1),(266,1),(267,1),(409,1),(420,1),(475,1),(531,1)}
       210:{1,4,5,6,7}:{(160,1),(182,1),(268,1),(283,1),(389,1),(534,1)}
       211:{1,2,4,7}:{(158,1),(159,1),(269,1),(270,1)}
       212:{1,3,4,6}:{(159,1),(161,1),(187,1),(269,1),(271,1),(309,1),(385,1),(387,1)}
       213:{1,2,5}:{(159,1),(271,1)}
       214:{3,5,6,7}:{(160,1),(191,1),(273,1),(482,1),(535,1)}
       215:{2,3,4,7}:{(161,1),(166,1),(269,1),(276,1),(318,1),(395,1)}
       216:{2,3,6,7}:{(163,1),(168,1),(277,1),(482,1)}
       217:{2,3,5}:{(161,1),(169,1),(271,1),(278,1)}
       218:{2,5,6}:{(162,1),(197,1),(280,1)}
       219:{1,3,5,7}:{(162,1),(163,1),(171,1),(198,1),(277,1),(280,1)}
       220:{1,3,4,6,7}:{(164,1),(166,1),(199,1),(274,1),(281,1),(285,1),(322,1),(396,1),(426,1),(470,1),(528,1),(550,1)}
       221:{1,2,5,7}:{(164,1),(200,1),(281,1),(282,1),(485,1)}
       222:{2,5,6,7}:{(165,1),(168,1),(202,1),(283,1),(485,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(169,1),(276,1),(285,1)}
       224:{1,2,4,6}:{(167,1),(282,1),(285,1),(393,1),(396,1)}
       225:{1,4,6,7}:{(168,1),(171,1),(277,1),(283,1)}
       226:{1,3,4,5}:{(169,1),(278,1),(287,1),(319,1),(421,1)}
       227:{1,3,5,6}:{(169,1),(170,1),(206,1),(279,1),(285,1),(287,1),(288,1),(422,1)}
       228:{1,2,4,5,7}:{(170,1),(171,1),(207,1),(280,1),(286,1),(288,1),(321,1),(395,1),(423,1),(426,1),(485,1),(486,1)}
       229:{1,3,4,5}:{(173,1),(290,1),(291,1),(319,1),(421,1)}
       230:{1,2,3,6}:{(175,1),(289,1),(292,1),(492,1)}
       231:{1,3,4,6}:{(172,1),(176,1),(292,1),(293,1),(297,1),(403,1),(405,1),(492,1)}
       232:{2,3,5}:{(172,1),(173,1),(290,1),(293,1)}
       233:{1,3,5,6}:{(173,1),(174,1),(178,1),(291,1),(294,1),(295,1),(422,1),(536,1)}
       234:{1,2,4,5,7}:{(174,1),(179,1),(182,1),(295,1),(305,1),(321,1),(406,1),(416,1),(423,1),(426,1),(498,1),(537,1)}
       235:{1,2,4,7}:{(175,1),(176,1),(292,1),(296,1)}
       236:{1,3,5,7}:{(176,1),(177,1),(184,1),(293,1),(296,1),(297,1)}
       237:{2,3,6}:{(177,1),(178,1),(185,1),(297,1)}
       238:{1,3,6,7}:{(178,1),(179,1),(295,1),(298,1),(482,1)}
       239:{1,2,3,5,6}:{(180,1),(266,1),(289,1),(299,1),(303,1),(382,1),(407,1),(414,1),(418,1),(475,1),(492,1),(497,1)}
       240:{1,3,4,5,6}:{(181,1),(189,1),(291,1),(300,1),(301,1),(311,1),(412,1),(422,1),(499,1),(532,1)}
       241:{1,2,4,6}:{(180,1),(183,1),(302,1),(303,1)}
       242:{2,5,6}:{(181,1),(185,1),(304,1),(305,1)}
       243:{1,3,5,7}:{(181,1),(182,1),(186,1),(191,1),(305,1)}
       244:{1,3,4,7}:{(183,1),(187,1),(192,1),(302,1),(306,1),(403,1),(501,1)}
       245:{1,2,4,5,7}:{(183,1),(184,1),(188,1),(193,1),(270,1),(296,1),(303,1),(306,1),(307,1),(310,1),(384,1),(404,1),(417,1),(419,1),(493,1),(501,1)}
       246:{1,4,6}:{(184,1),(185,1),(297,1),(304,1)}
       247:{2,4,6,7}:{(185,1),(186,1),(298,1),(305,1),(308,1),(406,1)}
       248:{1,3,5}:{(187,1),(188,1),(196,1),(309,1)}
       249:{1,2,4,6}:{(188,1),(197,1),(272,1),(309,1),(310,1),(387,1)}
       250:{2,4,5,6}:{(189,1),(190,1),(311,1),(312,1),(424,1)}
       251:{3,4,5,7}:{(189,1),(191,1),(273,1),(312,1),(502,1),(535,1)}
       252:{2,3,4,6}:{(192,1),(199,1),(302,1),(313,1),(316,1),(424,1)}
       253:{1,3,5,6}:{(190,1),(194,1),(201,1),(304,1),(311,1),(314,1),(315,1),(422,1),(479,1),(549,1)}
       254:{2,3,5,7}:{(190,1),(191,1),(195,1),(202,1),(305,1),(312,1),(315,1),(485,1),(535,1),(551,1)}
       255:{2,3,5,7}:{(192,1),(193,1),(196,1),(203,1),(306,1),(313,1),(316,1),(318,1),(489,1),(538,1)}
       256:{2,4,6}:{(193,1),(194,1),(314,1),(316,1)}
       257:{1,3,4,6,7}:{(194,1),(195,1),(198,1),(205,1),(277,1),(308,1),(315,1),(317,1),(322,1),(389,1),(420,1),(426,1),(473,1),(480,1),(482,1),(491,1),(501,1),(502,1),(550,1)}
       258:{2,3,6}:{(196,1),(197,1),(206,1),(309,1),(318,1)}
       259:{2,4,7}:{(197,1),(198,1),(280,1),(318,1)}
       260:{1,3,5}:{(199,1),(200,1),(313,1),(319,1)}
       261:{1,2,5,6}:{(200,1),(201,1),(204,1),(314,1),(320,1),(321,1),(549,1)}
       262:{1,5,7}:{(201,1),(202,1),(205,1)}
       263:{1,3,6}:{(203,1),(204,1),(316,1)}
       264:{1,2,4,6,7}:{(204,1),(205,1),(207,1),(208,1),(317,1),(321,1),(322,1),(426,1),(529,1),(537,1),(550,1)}
       265:{1,3,7}:{(206,1),(207,1),(318,1)}
       266:{1,2,3,5,7}:{(209,1),(239,1),(323,1),(326,1),(430,1),(456,1),(466,1),(520,1),(525,1)}
       267:{1,2,4,6,7}:{(209,1),(211,1),(241,1),(323,1),(325,1),(326,1),(329,1),(431,1),(545,1)}
       268:{1,3,5,6,7}:{(210,1),(214,1),(243,1),(324,1),(327,1),(546,1)}
       269:{1,3,4,7}:{(211,1),(212,1),(215,1),(328,1),(368,1),(438,1)}
       270:{1,2,5,7}:{(211,1),(213,1),(328,1),(329,1)}
       271:{1,3,5}:{(212,1),(213,1),(217,1),(330,1)}
       272:{1,2,5,6}:{(213,1),(218,1),(249,1),(329,1),(331,1),(332,1)}
       273:{3,4,6,7}:{(214,1),(251,1),(333,1)}
       274:{2,3,4,6,7}:{(215,1),(220,1),(252,1),(325,1),(334,1),(337,1),(374,1),(428,1),(441,1),(444,1),(469,1),(506,1),(514,1),(545,1)}
       275:{2,3,5,6,7}:{(214,1),(216,1),(222,1),(254,1),(327,1),(333,1),(335,1),(429,1)}
       276:{2,3,5,7}:{(215,1),(217,1),(223,1),(328,1),(336,1),(337,1)}
       277:{1,3,6,7}:{(216,1),(219,1),(225,1),(338,1)}
       278:{2,4,5}:{(217,1),(226,1),(330,1),(339,1)}
       279:{2,3,5,6}:{(217,1),(218,1),(227,1),(258,1),(331,1),(337,1),(339,1),(340,1),(443,1)}
       280:{2,5,7}:{(218,1),(219,1),(259,1),(338,1)}
       281:{1,3,5,7}:{(220,1),(221,1),(260,1),(334,1),(341,1),(342,1),(552,1)}
       282:{1,2,5,6}:{(221,1),(224,1),(342,1),(443,1),(504,1)}
       283:{1,5,6,7}:{(222,1),(225,1),(262,1),(512,1)}
       284:{1,3,4,5,7}:{(223,1),(226,1),(336,1),(341,1),(344,1),(346,1),(439,1),(447,1)}
       285:{1,3,6}:{(223,1),(224,1),(337,1)}
       286:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(338,1),(343,1),(345,1),(440,1),(444,1),(446,1)}
       287:{1,3,4,6}:{(226,1),(227,1),(339,1),(346,1),(375,1),(467,1)}
       288:{1,3,5,7}:{(227,1),(228,1),(265,1),(340,1),(345,1),(346,1),(468,1)}
       289:{1,2,3,5}:{(230,1),(348,1),(352,1),(453,1)}
       290:{2,4,5}:{(229,1),(232,1),(349,1),(350,1)}
       291:{1,3,4,6}:{(229,1),(233,1),(350,1),(351,1),(375,1),(467,1)}
       292:{1,2,4,6}:{(230,1),(231,1),(235,1),(348,1),(352,1),(355,1)}
       293:{1,3,5}:{(231,1),(232,1),(349,1),(352,1)}
       294:{2,3,5,6}:{(232,1),(233,1),(237,1),(242,1),(350,1),(353,1),(354,1),(460,1),(518,1)}
       295:{1,3,5,7}:{(233,1),(234,1),(238,1),(351,1),(354,1),(468,1),(547,1)}
       296:{1,2,5,7}:{(235,1),(236,1),(352,1),(355,1)}
       297:{1,3,6}:{(236,1),(237,1),(246,1),(355,1)}
       298:{2,3,6,7}:{(237,1),(238,1),(247,1),(354,1),(356,1),(507,1)}
       299:{1,2,4,6}:{(239,1),(323,1),(348,1),(359,1),(360,1),(465,1),(524,1)}
       300:{2,4,5,6}:{(240,1),(242,1),(350,1),(358,1),(361,1),(362,1),(460,1),(524,1),(544,1)}
       301:{1,3,4,5,7}:{(240,1),(243,1),(251,1),(324,1),(351,1),(362,1),(370,1),(461,1),(468,1),(526,1),(546,1)}
       302:{1,3,4,6}:{(241,1),(244,1),(252,1),(363,1),(366,1),(465,1)}
       303:{1,2,5}:{(241,1),(363,1)}
       304:{1,5,6}:{(242,1),(246,1),(365,1)}
       305:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       306:{1,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(363,1),(366,1),(368,1),(453,1),(520,1)}
       307:{1,2,4,6}:{(245,1),(246,1),(256,1),(329,1),(355,1),(364,1),(366,1),(436,1),(465,1)}
       308:{1,4,6,7}:{(246,1),(247,1),(356,1),(365,1),(455,1)}
       309:{1,3,6}:{(248,1),(249,1),(258,1),(368,1)}
       310:{1,2,4,7}:{(249,1),(259,1),(332,1),(368,1),(438,1)}
       311:{1,4,5,6}:{(250,1),(253,1),(369,1),(370,1),(375,1),(465,1)}
       312:{2,4,5,7}:{(250,1),(251,1),(254,1),(333,1),(370,1),(469,1)}
       313:{2,3,5}:{(252,1),(260,1),(363,1),(371,1)}
       314:{2,5,6}:{(253,1),(256,1),(373,1)}
       315:{1,3,5,7}:{(253,1),(254,1),(257,1),(262,1),(365,1),(370,1),(373,1),(468,1),(512,1),(552,1)}
       316:{2,3,6}:{(255,1),(256,1),(263,1),(366,1)}
       317:{2,4,6,7}:{(256,1),(257,1),(259,1),(338,1),(373,1),(374,1),(469,1),(507,1),(519,1)}
       318:{2,3,7}:{(258,1),(259,1),(265,1),(368,1)}
       319:{1,4,5}:{(260,1),(371,1),(375,1)}
       320:{1,3,5,6}:{(260,1),(261,1),(263,1),(372,1),(375,1),(376,1)}
       321:{1,2,5,7}:{(261,1),(262,1),(264,1),(373,1),(376,1),(552,1)}
       322:{1,3,6,7}:{(263,1),(264,1),(265,1),(374,1),(376,1),(547,1)}
       323:{1,2,4,7}:{(266,1),(299,1),(378,1),(501,1),(541,1)}
       324:{1,3,4,6,7}:{(268,1),(273,1),(301,1),(380,1),(389,1),(473,1),(482,1)}
       325:{1,3,4,6,7}:{(267,1),(269,1),(274,1),(302,1),(378,1),(381,1),(385,1),(420,1),(475,1),(477,1),(480,1),(501,1)}
       326:{1,2,5,7}:{(267,1),(303,1),(381,1),(382,1),(551,1)}
       327:{2,5,6,7}:{(268,1),(305,1),(380,1),(383,1),(551,1)}
       328:{1,3,5,7}:{(269,1),(270,1),(271,1),(276,1),(384,1),(385,1)}
       329:{1,2,6}:{(270,1),(385,1)}
       330:{1,4,5}:{(271,1),(278,1),(387,1)}
       331:{1,3,5,6}:{(271,1),(272,1),(279,1),(309,1),(385,1),(387,1),(388,1),(479,1)}
       332:{1,2,5,7}:{(272,1),(280,1),(310,1),(386,1),(388,1)}
       333:{2,4,6,7}:{(273,1),(275,1),(312,1),(389,1)}
       334:{2,3,5,7}:{(274,1),(281,1),(313,1),(381,1),(390,1),(391,1),(485,1),(535,1),(551,1)}
       335:{1,3,5,6,7}:{(275,1),(277,1),(283,1),(315,1),(383,1),(389,1),(392,1),(473,1),(482,1)}
       336:{2,4,5,7}:{(276,1),(278,1),(284,1),(384,1),(393,1),(395,1),(485,1)}
       337:{2,3,6}:{(276,1),(285,1),(385,1),(393,1)}
       338:{2,6,7}:{(277,1),(280,1)}
       339:{2,4,6}:{(278,1),(279,1),(287,1),(387,1),(395,1)}
       340:{2,3,5,7}:{(279,1),(280,1),(288,1),(318,1),(388,1),(394,1),(395,1),(485,1)}
       341:{1,4,5,7}:{(281,1),(319,1),(390,1),(396,1),(426,1)}
       342:{1,3,5,6}:{(281,1),(282,1),(285,1),(391,1),(396,1),(528,1),(549,1)}
       343:{1,2,5,6,7}:{(282,1),(283,1),(286,1),(321,1),(392,1),(397,1),(485,1),(529,1)}
       344:{1,3,4,6}:{(284,1),(285,1),(393,1),(396,1),(398,1),(481,1)}
       345:{1,3,6,7}:{(285,1),(286,1),(288,1),(394,1),(482,1)}
       346:{1,3,4,7}:{(287,1),(288,1),(395,1),(426,1),(502,1)}
       347:{2,3,4,5}:{(290,1),(401,1),(402,1),(421,1),(489,1),(496,1)}
       348:{1,2,4}:{(289,1),(403,1)}
       349:{1,4,5}:{(290,1),(293,1),(405,1)}
       350:{2,4,6}:{(290,1),(291,1),(294,1),(405,1),(406,1)}
       351:{1,3,4,7}:{(291,1),(295,1),(406,1),(426,1),(502,1)}
       352:{1,2,5}:{(292,1),(293,1)}
       353:{1,3,5,6}:{(293,1),(294,1),(297,1),(304,1),(405,1),(407,1),(408,1),(492,1)}
       354:{2,3,5,7}:{(294,1),(295,1),(298,1),(305,1),(406,1),(408,1),(498,1),(538,1)}
       355:{1,2,6}:{(296,1),(297,1)}
       356:{1,3,6,7}:{(297,1),(298,1),(308,1),(408,1),(409,1)}
       357:{1,2,3,6}:{(377,1),(400,1),(410,1),(536,1)}
       358:{2,3,5,6}:{(300,1),(402,1),(412,1),(413,1),(422,1)}
       359:{1,3,4,6}:{(299,1),(378,1),(403,1),(411,1),(414,1),(475,1),(492,1)}
       360:{1,2,4,5}:{(299,1),(303,1),(414,1),(417,1),(496,1)}
       361:{1,4,5,6}:{(300,1),(304,1),(405,1),(412,1),(416,1),(539,1),(549,1)}
       362:{2,4,5,7}:{(300,1),(301,1),(305,1),(380,1),(406,1),(413,1),(416,1),(498,1),(541,1),(551,1)}
       363:{1,3,5}:{(302,1),(303,1),(313,1),(417,1)}
       364:{1,2,5,6}:{(303,1),(304,1),(307,1),(314,1),(418,1),(419,1),(479,1)}
       365:{1,5,7}:{(304,1),(305,1),(308,1)}
       366:{1,3,6}:{(306,1),(307,1),(316,1)}
       367:{1,2,4,6,7}:{(307,1),(308,1),(310,1),(317,1),(386,1),(409,1),(419,1),(420,1),(480,1),(493,1),(501,1)}
       368:{1,3,7}:{(309,1),(310,1),(318,1)}
       369:{2,4,5,6}:{(311,1),(314,1),(422,1),(423,1),(424,1)}
       370:{1,4,5,7}:{(311,1),(312,1),(315,1),(389,1),(423,1),(426,1),(501,1)}
       371:{2,4,5}:{(313,1),(319,1),(417,1),(421,1),(424,1)}
       372:{2,3,5,6}:{(313,1),(314,1),(316,1),(320,1),(418,1),(422,1),(424,1),(425,1)}
       373:{2,5,7}:{(314,1),(315,1),(317,1)}
       374:{2,3,6,7}:{(316,1),(317,1),(318,1),(322,1),(420,1),(425,1),(482,1),(538,1)}
       375:{1,4,6}:{(319,1),(320,1),(424,1),(426,1)}
       376:{1,3,5,7}:{(320,1),(321,1),(322,1),(425,1),(426,1)}
       377:{1,2,3,7}:{(357,1),(427,1),(547,1)}
       378:{1,3,4,7}:{(323,1),(359,1),(428,1),(430,1),(520,1)}
       379:{1,2,4,5,7}:{(323,1),(326,1),(360,1),(430,1),(431,1),(433,1),(505,1)}
       380:{2,4,6,7}:{(324,1),(327,1),(362,1),(429,1),(432,1),(507,1)}
       381:{1,3,5,7}:{(325,1),(326,1),(334,1),(363,1),(433,1),(434,1),(512,1)}
       382:{1,2,5,6}:{(326,1),(329,1),(431,1),(434,1),(544,1)}
       383:{1,5,6,7}:{(327,1),(365,1),(432,1),(552,1)}
       384:{1,4,5,7}:{(328,1),(330,1),(336,1),(436,1),(438,1),(512,1)}
       385:{1,3,6}:{(328,1),(329,1),(337,1),(436,1)}
       386:{1,2,6,7}:{(329,1),(332,1),(338,1),(437,1)}
       387:{1,4,6}:{(330,1),(331,1),(339,1),(438,1)}
       388:{1,3,5,7}:{(331,1),(332,1),(340,1),(368,1),(437,1),(438,1),(512,1)}
       389:{1,4,6,7}:{(333,1),(335,1),(370,1),(440,1)}
       390:{2,4,5,7}:{(334,1),(341,1),(371,1),(433,1),(439,1),(441,1),(469,1)}
       391:{2,3,5,6}:{(334,1),(337,1),(342,1),(434,1),(441,1),(443,1),(506,1),(513,1),(544,1)}
       392:{2,5,6,7}:{(335,1),(338,1),(373,1),(440,1),(507,1)}
       393:{2,4,6}:{(336,1),(337,1),(344,1),(436,1),(443,1)}
       394:{2,3,6,7}:{(337,1),(338,1),(340,1),(345,1),(437,1),(444,1)}
       395:{2,4,7}:{(339,1),(340,1),(346,1),(438,1)}
       396:{1,4,6}:{(341,1),(342,1),(441,1)}
       397:{1,3,5,6,7}:{(342,1),(343,1),(345,1),(376,1),(442,1),(446,1),(447,1),(543,1),(552,1)}
       398:{1,3,5,6}:{(344,1),(443,1),(445,1),(447,1),(513,1)}
       399:{1,3,4,6,7}:{(344,1),(345,1),(346,1),(444,1),(446,1),(447,1),(514,1)}
       400:{1,2,3,5}:{(357,1),(448,1),(458,1),(516,1)}
       401:{1,3,4,5}:{(347,1),(349,1),(450,1),(451,1),(453,1),(516,1),(521,1)}
       402:{2,3,4,6}:{(347,1),(350,1),(358,1),(451,1),(452,1),(467,1),(518,1),(524,1)}
       403:{1,3,4}:{(348,1),(449,1),(453,1)}
       404:{1,2,4,5}:{(348,1),(349,1),(352,1),(450,1),(453,1),(454,1)}
       405:{1,4,6}:{(349,1),(350,1),(353,1),(455,1)}
       406:{2,4,7}:{(350,1),(351,1),(354,1),(455,1)}
       407:{1,2,5,6}:{(352,1),(353,1),(355,1),(454,1),(456,1),(460,1)}
       408:{1,3,5,7}:{(353,1),(354,1),(356,1),(365,1),(455,1),(456,1),(520,1)}
       409:{1,2,6,7}:{(355,1),(356,1),(456,1),(507,1)}
       410:{1,2,4,6}:{(357,1),(427,1),(448,1),(457,1),(458,1),(504,1)}
       411:{2,3,4,6}:{(359,1),(428,1),(449,1),(457,1),(459,1),(506,1),(518,1),(524,1)}
       412:{1,3,5,6}:{(358,1),(361,1),(451,1),(460,1),(461,1)}
       413:{2,3,5,7}:{(358,1),(362,1),(429,1),(452,1),(461,1),(468,1)}
       414:{1,3,5}:{(359,1),(360,1),(459,1)}
       415:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(369,1),(431,1),(454,1),(460,1),(463,1),(464,1),(465,1),(510,1),(524,1),(544,1)}
       416:{1,4,5,7}:{(361,1),(362,1),(365,1),(432,1),(455,1),(461,1),(548,1),(552,1)}
       417:{1,4,5}:{(363,1),(371,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(372,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(373,1),(466,1),(512,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(368,1),(374,1),(466,1),(520,1)}
       421:{3,4,5}:{(371,1),(467,1)}
       422:{3,5,6}:{(369,1),(467,1),(468,1)}
       423:{2,4,5,7}:{(369,1),(370,1),(373,1),(440,1),(468,1),(469,1)}
       424:{2,4,6}:{(371,1),(372,1),(375,1),(465,1),(467,1),(469,1)}
       425:{2,3,5,7}:{(372,1),(373,1),(374,1),(376,1),(466,1),(468,1),(469,1)}
       426:{1,4,7}:{(375,1),(376,1),(469,1)}
       427:{1,2,4,7}:{(377,1),(410,1),(470,1),(471,1)}
       428:{2,3,4,7}:{(378,1),(411,1),(470,1),(472,1),(538,1),(541,1)}
       429:{2,3,6,7}:{(380,1),(413,1),(473,1),(482,1)}
       430:{1,3,5,7}:{(378,1),(379,1),(414,1),(472,1),(475,1)}
       431:{1,2,4,6}:{(379,1),(382,1),(475,1),(477,1),(530,1)}
       432:{1,4,6,7}:{(380,1),(383,1),(416,1),(473,1)}
       433:{1,4,5,7}:{(381,1),(390,1),(417,1),(477,1),(501,1)}
       434:{1,3,5,6}:{(381,1),(382,1),(385,1),(391,1),(475,1),(477,1),(479,1)}
       435:{1,2,5,6,7}:{(382,1),(383,1),(386,1),(392,1),(419,1),(476,1),(478,1),(551,1)}
       436:{1,4,6}:{(384,1),(385,1),(393,1),(479,1)}
       437:{1,3,6,7}:{(385,1),(386,1),(388,1),(394,1),(480,1)}
       438:{1,4,7}:{(387,1),(388,1),(395,1)}
       439:{3,4,5,7}:{(390,1),(421,1),(481,1),(502,1),(535,1)}
       440:{2,4,6,7}:{(389,1),(392,1),(423,1),(482,1)}
       441:{2,4,6}:{(390,1),(391,1),(396,1),(477,1),(481,1)}
       442:{2,3,5,6,7}:{(391,1),(392,1),(394,1),(397,1),(425,1),(478,1),(482,1),(484,1),(485,1),(531,1),(535,1),(551,1)}
       443:{2,5,6}:{(393,1),(398,1),(479,1),(485,1)}
       444:{2,4,6,7}:{(393,1),(394,1),(395,1),(399,1),(480,1),(485,1)}
       445:{1,4,5,6}:{(396,1),(398,1),(483,1),(486,1),(549,1)}
       446:{1,4,6,7}:{(396,1),(397,1),(426,1),(484,1),(486,1)}
       447:{1,3,5,7}:{(398,1),(399,1),(485,1),(486,1),(535,1)}
       448:{1,2,4}:{(400,1),(487,1)}
       449:{2,3,4}:{(403,1),(487,1),(489,1)}
       450:{2,4,5}:{(401,1),(489,1),(490,1)}
       451:{1,3,4,6}:{(401,1),(402,1),(405,1),(412,1),(490,1),(491,1),(492,1),(536,1),(539,1)}
       452:{2,3,4,7}:{(402,1),(406,1),(413,1),(491,1),(502,1),(538,1),(541,1)}
       453:{1,3,5}:{(403,1),(404,1),(489,1),(492,1)}
       454:{1,2,4,6}:{(404,1),(405,1),(407,1),(490,1),(492,1),(493,1)}
       455:{1,4,7}:{(405,1),(406,1),(408,1)}
       456:{1,2,5,7}:{(407,1),(408,1),(409,1),(493,1),(498,1)}
       457:{1,3,4,6}:{(410,1),(411,1),(470,1),(487,1),(494,1),(528,1),(536,1),(539,1)}
       458:{1,2,5}:{(410,1),(494,1)}
       459:{2,3,5}:{(411,1),(414,1),(494,1),(496,1)}
       460:{2,5,6}:{(412,1),(490,1),(498,1)}
       461:{1,3,5,7}:{(412,1),(413,1),(416,1),(473,1),(491,1),(498,1)}
       462:{1,3,4,5}:{(414,1),(417,1),(421,1),(496,1),(499,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(475,1),(492,1),(497,1),(499,1),(500,1)}
       464:{1,2,4,5,7}:{(415,1),(416,1),(419,1),(423,1),(476,1),(493,1),(498,1),(500,1),(501,1),(534,1),(541,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(424,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(425,1),(501,1)}
       467:{3,4,6}:{(421,1),(422,1),(424,1),(502,1)}
       468:{3,5,7}:{(422,1),(423,1),(482,1),(502,1)}
       469:{2,4,7}:{(424,1),(425,1),(426,1),(501,1),(502,1)}
       470:{1,3,4,7}:{(427,1),(428,1),(457,1),(503,1),(547,1),(548,1)}
       471:{1,2,5,7}:{(427,1),(458,1),(503,1),(504,1)}
       472:{2,3,5,7}:{(428,1),(430,1),(459,1),(503,1),(505,1),(506,1)}
       473:{1,3,6,7}:{(429,1),(432,1),(461,1),(507,1)}
       474:{1,3,4,5,7}:{(430,1),(433,1),(439,1),(462,1),(505,1),(508,1),(526,1),(546,1)}
       475:{1,3,6}:{(430,1),(431,1),(506,1)}
       476:{1,2,4,6,7}:{(431,1),(432,1),(435,1),(440,1),(464,1),(507,1),(509,1),(511,1),(545,1)}
       477:{1,4,6}:{(433,1),(434,1),(441,1)}
       478:{1,3,5,6,7}:{(434,1),(435,1),(437,1),(442,1),(466,1),(509,1),(511,1),(512,1),(546,1)}
       479:{1,5,6}:{(436,1),(443,1),(512,1)}
       480:{1,4,6,7}:{(436,1),(437,1),(438,1),(444,1),(512,1)}
       481:{3,4,6}:{(439,1),(441,1),(513,1)}
       482:{3,6,7}:{(440,1),(468,1)}
       483:{2,4,5,6}:{(441,1),(443,1),(445,1),(510,1),(513,1),(515,1),(544,1)}
       484:{2,4,6,7}:{(441,1),(442,1),(446,1),(469,1),(511,1),(514,1),(515,1)}
       485:{2,5,7}:{(443,1),(444,1),(447,1),(512,1)}
       486:{1,4,5,7}:{(445,1),(446,1),(447,1),(515,1),(552,1)}
       487:{1,3,4}:{(448,1),(449,1),(516,1)}
       488:{1,2,4,5}:{(448,1),(450,1),(458,1),(516,1),(517,1),(521,1)}
       489:{2,3,5}:{(449,1),(450,1),(453,1),(516,1),(518,1)}
       490:{2,4,6}:{(450,1),(451,1),(460,1),(518,1),(519,1)}
       491:{1,3,4,7}:{(451,1),(452,1),(455,1),(461,1),(519,1),(520,1),(547,1),(548,1)}
       492:{1,3,6}:{(453,1),(454,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(454,1),(455,1),(456,1),(519,1),(520,1)}
       494:{1,3,5}:{(457,1),(458,1),(459,1),(521,1)}
       495:{1,2,5,6}:{(458,1),(460,1),(504,1),(517,1),(522,1),(523,1)}
       496:{2,4,5}:{(459,1),(462,1),(521,1),(524,1)}
       497:{2,3,5,6}:{(459,1),(460,1),(463,1),(506,1),(518,1),(522,1),(524,1),(525,1),(544,1)}
       498:{2,5,7}:{(460,1),(461,1),(507,1),(519,1)}
       499:{1,3,4,6}:{(462,1),(463,1),(465,1),(467,1),(524,1),(526,1)}
       500:{1,3,5,7}:{(463,1),(464,1),(468,1),(509,1),(520,1),(525,1),(526,1)}
       501:{1,4,7}:{(465,1),(466,1),(469,1)}
       502:{3,4,7}:{(467,1),(468,1),(469,1)}
       503:{1,3,5,7}:{(470,1),(471,1),(472,1),(494,1),(527,1),(528,1)}
       504:{1,2,6}:{(471,1),(528,1)}
       505:{2,4,5,7}:{(472,1),(474,1),(496,1),(527,1),(530,1),(541,1),(551,1)}
       506:{2,3,6}:{(472,1),(475,1),(528,1),(530,1)}
       507:{2,6,7}:{(473,1),(498,1)}
       508:{1,3,4,6}:{(474,1),(475,1),(477,1),(481,1),(530,1),(532,1)}
       509:{1,3,6,7}:{(475,1),(476,1),(482,1),(500,1),(531,1)}
       510:{1,4,5,6}:{(477,1),(479,1),(483,1),(532,1),(534,1)}
       511:{1,4,6,7}:{(477,1),(478,1),(484,1),(501,1),(534,1)}
       512:{1,5,7}:{(479,1),(480,1),(485,1)}
       513:{3,5,6}:{(481,1),(483,1),(535,1)}
       514:{3,4,6,7}:{(481,1),(482,1),(484,1),(502,1),(535,1)}
       515:{2,4,5,7}:{(483,1),(484,1),(485,1),(486,1),(534,1),(535,1),(551,1)}
       516:{1,3,5}:{(487,1),(488,1),(489,1),(536,1)}
       517:{1,2,4,6}:{(488,1),(490,1),(495,1),(536,1),(537,1),(539,1)}
       518:{2,3,6}:{(489,1),(490,1),(492,1),(536,1),(538,1)}
       519:{2,4,7}:{(490,1),(491,1),(498,1),(538,1)}
       520:{1,3,7}:{(492,1),(493,1),(538,1)}
       521:{1,4,5}:{(494,1),(496,1),(539,1)}
       522:{1,3,5,6}:{(494,1),(495,1),(497,1),(528,1),(536,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(495,1),(498,1),(529,1),(537,1),(540,1)}
       524:{2,4,6}:{(496,1),(497,1),(499,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(497,1),(498,1),(500,1),(531,1),(538,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(499,1),(500,1),(501,1),(502,1),(541,1)}
       527:{1,4,5,7}:{(503,1),(505,1),(521,1),(542,1),(548,1),(552,1)}
       528:{1,3,6}:{(503,1),(504,1),(506,1),(542,1)}
       529:{1,2,6,7}:{(504,1),(507,1),(523,1),(543,1)}
       530:{2,4,6}:{(505,1),(506,1),(508,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(506,1),(507,1),(509,1),(525,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(508,1),(510,1),(513,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(508,1),(509,1),(511,1),(514,1),(526,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(510,1),(511,1),(512,1),(515,1),(546,1)}
       535:{3,5,7}:{(513,1),(514,1),(515,1)}
       536:{1,3,6}:{(516,1),(517,1),(518,1),(547,1)}
       537:{1,2,4,7}:{(517,1),(519,1),(523,1),(547,1),(548,1)}
       538:{2,3,7}:{(518,1),(519,1),(520,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(540,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(541,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(535,1),(551,1)}
       547:{1,3,7}:{(536,1),(537,1),(538,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(548,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2079 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(44,1),(48,1),(85,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(108,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(108,1),(138,1),(139,1),(140,1),(146,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(41,1),(83,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(108,1),(115,1),(116,1),(117,1),(146,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(60,1),(103,1),(107,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(106,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(146,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(106,1),(114,1),(139,1),(145,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{2,4,5,6}:{(13,1),(39,1),(40,1),(41,1),(83,1),(86,1),(158,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(42,1),(43,1),(81,1),(84,1),(125,1),(129,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(44,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(41,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(126,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(106,1),(116,1),(137,1),(145,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(23,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{1,4,5,6}:{(23,1),(27,1),(59,1),(61,1),(62,1),(71,1),(97,1),(106,1),(144,1)}
        41:{3,5,6}:{(23,1),(28,1),(60,1),(109,1),(166,1)}
        42:{2,5,6,7}:{(24,1),(26,1),(63,1),(103,1),(146,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1)}
        44:{3,4,6,7}:{(25,1),(28,1),(60,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(145,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(62,1),(66,1),(67,1),(104,1),(111,1),(144,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(143,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(41,1),(44,1),(170,1)}
        61:{2,4,5,6}:{(40,1),(46,1),(80,1),(82,1),(83,1),(86,1),(127,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(47,1),(81,1),(82,1),(83,1),(92,1),(118,1)}
        63:{2,4,6,7}:{(42,1),(43,1),(46,1),(80,1),(84,1)}
        64:{1,3,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(123,1),(129,1),(155,1),(170,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(83,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,5,6}:{(61,1),(66,1),(102,1),(104,1),(109,1)}
        83:{2,5,6}:{(62,1),(67,1),(103,1),(106,1),(114,1),(137,1)}
        84:{3,6,7}:{(63,1),(66,1),(102,1)}
        85:{2,4,6,7}:{(64,1),(67,1),(103,1),(107,1),(108,1),(141,1),(146,1),(164,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(106,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{3,4,6}:{(82,1),(123,1),(126,1),(127,1)}
       105:{2,3,5,6}:{(82,1),(83,1),(88,1),(124,1),(127,1),(128,1),(130,1)}
       106:{1,5,6}:{(83,1),(89,1),(125,1),(134,1),(152,1)}
       107:{2,3,6,7}:{(84,1),(85,1),(88,1),(124,1),(129,1),(170,1)}
       108:{1,4,6,7}:{(85,1),(89,1),(125,1),(129,1),(155,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(127,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(104,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(105,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(106,1),(108,1)}
       126:{3,4,5}:{(104,1),(109,1),(143,1),(174,1)}
       127:{2,4,6}:{(104,1),(105,1),(141,1),(143,1),(144,1)}
       128:{1,3,5,6}:{(105,1),(106,1),(111,1),(142,1),(144,1),(145,1),(147,1),(166,1)}
       129:{1,3,6,7}:{(107,1),(108,1),(111,1),(142,1),(146,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(143,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(144,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(127,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(128,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,4,5}:{(126,1),(127,1),(130,1),(157,1),(172,1)}
       144:{1,4,6}:{(127,1),(128,1),(155,1),(157,1),(158,1)}
       145:{2,5,6}:{(128,1),(132,1),(156,1),(158,1),(159,1)}
       146:{2,6,7}:{(129,1),(132,1),(156,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(144,1),(164,1)}
       156:{2,5,7}:{(142,1),(145,1),(146,1),(164,1)}
       157:{1,4,5}:{(143,1),(144,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(144,1),(145,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2080 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

2081 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(52,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(18,1),(25,1),(57,1),(69,1),(120,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(28,1),(31,1),(80,1),(151,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(52,1),(179,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(113,1),(191,1)}
         8:{2,3,4,5}:{(17,1),(20,1),(125,1),(135,1),(200,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(21,1),(52,1),(62,1),(113,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(25,1),(120,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(216,1)}
        15:{3,4,6,7}:{(7,1),(30,1),(31,1)}
        16:{2,3,5,6,7}:{(7,1),(10,1),(28,1),(31,1),(32,1),(39,1),(71,1),(77,1)}
        17:{2,3,4,6}:{(8,1),(12,1),(33,1),(34,1),(99,1),(154,1),(159,1)}
        18:{3,4,5,6}:{(30,1),(35,1),(231,1),(289,1)}
        19:{2,3,4,5,7}:{(8,1),(33,1),(36,1),(37,1),(76,1),(77,1),(136,1),(162,1),(170,1),(227,1),(274,1),(283,1),(290,1),(309,1)}
        20:{1,3,4,5}:{(8,1),(34,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(33,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(34,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(83,1),(86,1),(99,1),(157,1),(168,1),(172,1),(235,1),(237,1),(242,1),(243,1),(288,1),(290,1),(310,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(52,1),(103,1),(113,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(250,1)}
        29:{1,3,4,5,6}:{(18,1),(46,1),(49,1),(57,1),(107,1),(120,1),(183,1),(251,1)}
        30:{3,4,5,7}:{(15,1),(18,1),(50,1),(191,1),(299,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(50,1),(52,1)}
        32:{1,3,5,6,7}:{(16,1),(22,1),(48,1),(52,1),(53,1),(62,1),(103,1),(110,1),(113,1)}
        33:{2,3,4,7}:{(17,1),(23,1),(54,1),(132,1),(188,1),(193,1)}
        34:{1,3,4,6}:{(17,1),(20,1),(25,1),(54,1),(55,1),(117,1),(134,1)}
        35:{2,4,5,6}:{(18,1),(50,1),(56,1),(57,1),(267,1)}
        36:{2,3,4,6}:{(19,1),(56,1),(58,1),(201,1),(209,1),(261,1),(267,1),(295,1),(313,1)}
        37:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(58,1),(59,1),(109,1),(110,1),(123,1),(173,1),(188,1),(200,1),(208,1),(259,1),(268,1),(294,1)}
        38:{2,4,5}:{(20,1),(55,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(113,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(53,1),(63,1),(64,1),(176,1),(186,1),(206,1),(270,1),(302,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(54,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(115,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(265,1),(300,1)}
        44:{2,5,6}:{(25,1),(55,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(117,1),(120,1),(197,1),(266,1),(303,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(30,1),(70,1),(78,1),(137,1),(147,1),(213,1),(216,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(139,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(276,1)}
        49:{2,4,5,6}:{(29,1),(70,1),(74,1),(75,1),(143,1),(221,1),(277,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(35,1),(77,1),(78,1),(283,1)}
        51:{2,3,4,6,7}:{(31,1),(33,1),(36,1),(39,1),(71,1),(77,1),(79,1),(136,1),(150,1),(166,1),(215,1),(228,1),(283,1)}
        52:{1,4,6,7}:{(31,1),(32,1),(78,1),(80,1)}
        53:{2,5,6,7}:{(32,1),(80,1),(92,1),(139,1),(146,1)}
        54:{1,3,4,7}:{(33,1),(34,1),(42,1),(82,1),(152,1),(169,1)}
        55:{2,4,6}:{(34,1),(38,1),(44,1),(82,1),(84,1)}
        56:{2,3,5,6}:{(35,1),(36,1),(77,1),(85,1),(231,1),(242,1),(277,1)}
        57:{1,4,5,6}:{(35,1),(78,1),(85,1),(86,1),(237,1)}
        58:{1,3,4,6}:{(36,1),(37,1),(85,1),(87,1),(159,1),(160,1),(237,1),(243,1),(307,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(82,1),(87,1),(89,1),(145,1),(146,1),(210,1),(226,1),(238,1)}
        60:{1,2,4,5}:{(38,1),(83,1),(90,1),(164,1),(172,1),(235,1)}
        61:{2,3,5}:{(38,1),(84,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(80,1),(92,1),(93,1),(94,1),(166,1),(243,1),(288,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(81,1),(93,1),(94,1),(167,1),(214,1),(225,1),(276,1),(287,1)}
        65:{2,5,7}:{(42,1),(44,1),(82,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(152,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(83,1),(95,1),(98,1),(235,1),(288,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(84,1),(96,1),(98,1),(99,1),(154,1),(156,1),(234,1),(235,1),(242,1),(288,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(159,1),(237,1),(289,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(49,1),(101,1),(102,1),(174,1),(247,1),(250,1)}
        71:{2,3,6,7}:{(47,1),(101,1),(103,1),(113,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(102,1),(103,1)}
        73:{1,2,5,6,7}:{(48,1),(53,1),(104,1),(105,1),(127,1),(186,1),(250,1),(296,1),(302,1)}
        74:{2,3,5,6}:{(49,1),(101,1),(106,1),(107,1),(120,1)}
        75:{1,4,5,6}:{(49,1),(102,1),(107,1),(254,1),(296,1)}
        76:{2,3,4,5}:{(106,1),(109,1),(200,1),(255,1),(256,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(56,1),(110,1),(191,1),(206,1),(250,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(57,1),(110,1),(111,1),(259,1)}
        79:{1,3,4,6,7}:{(51,1),(52,1),(54,1),(58,1),(62,1),(103,1),(110,1),(112,1),(113,1),(173,1),(188,1),(189,1),(205,1),(249,1),(259,1)}
        80:{2,4,6,7}:{(52,1),(53,1),(111,1),(113,1)}
        81:{2,3,5,6,7}:{(53,1),(64,1),(105,1),(113,1),(114,1),(128,1),(177,1),(187,1),(191,1),(206,1),(250,1),(258,1),(264,1),(302,1),(313,1)}
        82:{2,4,7}:{(54,1),(55,1),(65,1),(116,1)}
        83:{1,2,4,6}:{(55,1),(60,1),(67,1),(115,1),(117,1),(134,1),(196,1)}
        84:{2,3,6}:{(55,1),(61,1),(116,1),(117,1)}
        85:{1,3,5,6}:{(56,1),(57,1),(58,1),(110,1),(119,1),(120,1),(270,1),(296,1)}
        86:{2,4,5,6}:{(57,1),(111,1),(119,1),(120,1),(199,1)}
        87:{2,4,6}:{(58,1),(59,1),(119,1),(122,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(115,1),(121,1),(123,1),(184,1),(186,1),(204,1),(208,1),(244,1),(259,1),(265,1),(268,1),(269,1),(294,1),(300,1),(311,1)}
        89:{2,3,5,7}:{(59,1),(61,1),(116,1),(122,1),(123,1),(124,1),(185,1),(203,1),(245,1)}
        90:{1,3,5}:{(60,1),(61,1),(117,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(113,1),(128,1),(266,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(114,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(115,1),(127,1),(131,1),(265,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(116,1),(128,1),(131,1),(132,1),(193,1),(206,1),(265,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(117,1),(131,1),(134,1),(197,1),(266,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(197,1),(200,1),(268,1),(303,1)}
       101:{2,3,5,7}:{(70,1),(71,1),(74,1),(136,1),(137,1),(147,1)}
       102:{1,4,5,7}:{(70,1),(72,1),(75,1),(137,1),(273,1),(276,1)}
       103:{1,3,6,7}:{(71,1),(72,1),(137,1),(139,1)}
       104:{1,2,4,6,7}:{(72,1),(73,1),(80,1),(138,1),(139,1),(140,1),(141,1),(215,1),(307,1),(310,1),(314,1)}
       105:{1,3,5,6,7}:{(73,1),(81,1),(140,1),(141,1),(165,1),(216,1),(225,1),(241,1),(287,1)}
       106:{2,3,4,6}:{(74,1),(76,1),(136,1),(142,1),(159,1),(221,1),(278,1)}
       107:{1,3,5,6}:{(74,1),(75,1),(137,1),(142,1),(143,1)}
       108:{1,2,4,5,6}:{(75,1),(86,1),(138,1),(143,1),(144,1),(157,1),(217,1),(218,1),(221,1),(237,1),(277,1),(281,1),(290,1),(307,1),(308,1),(310,1),(314,1)}
       109:{1,3,4,5}:{(76,1),(142,1),(145,1),(223,1),(281,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(85,1),(146,1),(147,1),(241,1),(276,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(86,1),(146,1),(147,1),(226,1)}
       112:{2,4,6,7}:{(79,1),(82,1),(87,1),(92,1),(139,1),(146,1),(149,1),(210,1),(226,1)}
       113:{3,6,7}:{(80,1),(147,1)}
       114:{2,4,6,7}:{(81,1),(94,1),(141,1),(150,1),(151,1),(226,1),(283,1),(285,1),(310,1)}
       115:{1,2,4,7}:{(82,1),(83,1),(95,1),(152,1),(169,1),(232,1)}
       116:{2,3,7}:{(82,1),(84,1),(152,1)}
       117:{1,3,6}:{(83,1),(84,1),(90,1),(152,1),(154,1)}
       118:{2,3,4,6}:{(84,1),(91,1),(99,1),(153,1),(155,1),(156,1),(234,1),(289,1)}
       119:{2,5,6}:{(85,1),(87,1),(146,1)}
       120:{3,5,6}:{(86,1),(147,1),(159,1)}
       121:{1,2,4,6}:{(87,1),(88,1),(157,1),(160,1),(237,1),(239,1),(243,1),(288,1),(307,1),(310,1),(314,1)}
       122:{2,3,6}:{(87,1),(89,1),(160,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(90,1),(152,1),(160,1),(162,1),(163,1),(223,1),(240,1),(271,1),(309,1)}
       124:{2,3,4,7}:{(89,1),(91,1),(161,1),(163,1),(224,1),(226,1)}
       125:{2,3,5}:{(90,1),(154,1),(164,1),(235,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(288,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(234,1),(288,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(150,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(151,1),(167,1),(168,1),(276,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(152,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(233,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(156,1),(172,1),(235,1)}
       136:{2,3,4,7}:{(101,1),(106,1),(173,1),(188,1),(247,1),(291,1)}
       137:{1,3,5,7}:{(101,1),(102,1),(103,1),(107,1),(173,1),(174,1)}
       138:{1,2,4,5,7}:{(102,1),(104,1),(108,1),(111,1),(174,1),(175,1),(179,1),(186,1),(244,1),(247,1),(250,1),(259,1),(294,1),(300,1),(311,1)}
       139:{2,6,7}:{(103,1),(174,1)}
       140:{1,3,6,7}:{(104,1),(113,1),(175,1),(177,1),(312,1),(313,1)}
       141:{1,4,6,7}:{(105,1),(114,1),(179,1),(259,1),(301,1)}
       142:{1,3,4,6}:{(106,1),(107,1),(109,1),(173,1),(180,1),(252,1),(254,1)}
       143:{2,5,6}:{(107,1),(174,1),(180,1)}
       144:{1,3,5,6}:{(108,1),(120,1),(175,1),(182,1),(183,1),(252,1),(298,1),(303,1),(312,1),(313,1)}
       145:{2,4,5}:{(109,1),(180,1),(185,1)}
       146:{2,5,7}:{(110,1),(112,1),(119,1)}
       147:{3,5,7}:{(111,1),(113,1),(120,1),(188,1)}
       148:{1,2,4,6,7}:{(112,1),(115,1),(121,1),(127,1),(176,1),(186,1),(189,1),(205,1),(244,1),(249,1),(259,1),(262,1)}
       149:{2,3,6,7}:{(112,1),(113,1),(116,1),(122,1),(187,1),(189,1),(245,1)}
       150:{3,4,6,7}:{(113,1),(114,1),(188,1),(191,1),(261,1),(299,1),(313,1)}
       151:{2,4,5,7}:{(114,1),(130,1),(179,1),(191,1),(192,1),(206,1),(250,1)}
       152:{1,3,7}:{(115,1),(116,1),(117,1),(193,1)}
       153:{2,3,4,7}:{(116,1),(118,1),(132,1),(194,1),(195,1),(299,1)}
       154:{2,3,6}:{(117,1),(125,1),(193,1),(196,1)}
       155:{1,3,4,6}:{(117,1),(118,1),(126,1),(134,1),(194,1),(196,1),(197,1),(266,1)}
       156:{2,3,5}:{(118,1),(135,1),(197,1),(303,1)}
       157:{1,2,5,6}:{(119,1),(121,1),(186,1),(198,1),(269,1),(270,1),(296,1),(302,1)}
       158:{2,3,5,6}:{(119,1),(120,1),(122,1),(187,1),(198,1),(199,1),(203,1)}
       159:{3,4,6}:{(120,1),(188,1),(199,1),(200,1)}
       160:{1,3,6}:{(121,1),(122,1),(123,1),(201,1),(313,1)}
       161:{2,3,4,6}:{(122,1),(124,1),(199,1),(202,1),(203,1)}
       162:{2,3,5,7}:{(123,1),(125,1),(193,1),(201,1),(204,1),(256,1),(265,1),(269,1),(291,1),(311,1)}
       163:{1,3,4,7}:{(123,1),(124,1),(126,1),(202,1),(204,1),(257,1),(259,1),(299,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(266,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(191,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(192,1),(207,1),(296,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(195,1),(206,1),(208,1),(209,1),(265,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(266,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(197,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(142,1),(210,1),(271,1),(273,1)}
       174:{2,5,7}:{(137,1),(139,1),(143,1),(210,1)}
       175:{1,3,5,7}:{(138,1),(140,1),(144,1),(147,1),(212,1),(213,1),(271,1),(309,1)}
       176:{1,2,6,7}:{(139,1),(211,1),(214,1),(314,1)}
       177:{2,3,6,7}:{(139,1),(140,1),(212,1),(214,1),(215,1),(306,1),(314,1)}
       178:{1,3,4,6,7}:{(140,1),(141,1),(150,1),(213,1),(215,1),(216,1),(275,1)}
       179:{1,4,5,7}:{(141,1),(151,1),(216,1),(217,1),(241,1)}
       180:{2,4,6}:{(142,1),(143,1),(145,1),(210,1),(219,1)}
       181:{1,2,5,6}:{(143,1),(211,1),(218,1),(220,1),(308,1),(314,1)}
       182:{2,3,5,6}:{(143,1),(144,1),(212,1),(219,1),(220,1),(221,1),(277,1),(278,1),(280,1),(306,1),(308,1),(314,1)}
       183:{1,3,4,6}:{(144,1),(159,1),(213,1),(221,1),(222,1),(237,1),(289,1)}
       184:{1,2,4,5}:{(145,1),(218,1),(223,1),(281,1),(282,1),(308,1)}
       185:{2,3,5}:{(145,1),(219,1),(223,1),(224,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(157,1),(225,1),(241,1),(276,1),(286,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(158,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(159,1),(226,1)}
       189:{1,3,6,7}:{(148,1),(149,1),(152,1),(160,1),(225,1),(228,1),(271,1)}
       190:{2,3,4,6,7}:{(149,1),(150,1),(153,1),(161,1),(166,1),(215,1),(226,1),(229,1),(230,1),(234,1),(272,1),(285,1),(306,1)}
       191:{3,5,7}:{(150,1),(151,1),(231,1)}
       192:{2,4,5,6}:{(151,1),(168,1),(217,1),(231,1),(242,1),(277,1),(285,1),(310,1)}
       193:{2,3,7}:{(152,1),(154,1),(232,1)}
       194:{1,3,4,7}:{(152,1),(153,1),(155,1),(169,1),(232,1),(233,1)}
       195:{2,3,5,7}:{(153,1),(156,1),(170,1),(233,1),(234,1),(309,1)}
       196:{2,4,6}:{(154,1),(155,1),(164,1),(232,1),(235,1),(288,1)}
       197:{1,3,5}:{(155,1),(156,1),(172,1),(235,1)}
       198:{1,3,5,6}:{(157,1),(158,1),(160,1),(225,1),(236,1),(237,1),(240,1)}
       199:{2,4,6}:{(158,1),(159,1),(226,1),(237,1),(238,1)}
       200:{3,4,5}:{(159,1),(238,1)}
       201:{2,3,6}:{(160,1),(162,1),(239,1),(288,1),(314,1)}
       202:{1,3,4,6}:{(160,1),(161,1),(163,1),(237,1),(239,1),(240,1),(289,1)}
       203:{2,3,5}:{(161,1),(238,1),(240,1)}
       204:{2,4,7}:{(162,1),(163,1),(164,1),(239,1),(282,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(231,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(233,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(234,1),(242,1),(243,1),(288,1)}
       210:{2,4,7}:{(173,1),(174,1),(180,1),(245,1)}
       211:{1,2,5,7}:{(174,1),(176,1),(181,1),(244,1),(246,1),(311,1)}
       212:{2,3,5,7}:{(174,1),(175,1),(177,1),(182,1),(245,1),(246,1),(247,1),(250,1),(291,1),(311,1)}
       213:{1,3,4,7}:{(175,1),(183,1),(188,1),(247,1),(259,1),(299,1)}
       214:{1,3,6,7}:{(176,1),(177,1),(246,1),(249,1),(312,1)}
       215:{2,4,6,7}:{(177,1),(178,1),(247,1),(249,1),(250,1),(295,1)}
       216:{1,3,5,7}:{(178,1),(179,1),(191,1),(250,1),(251,1)}
       217:{1,4,5,6}:{(179,1),(192,1),(251,1),(270,1),(301,1)}
       218:{1,2,4,6}:{(180,1),(181,1),(184,1),(244,1),(252,1),(254,1),(297,1)}
       219:{2,3,6}:{(180,1),(185,1),(245,1),(252,1)}
       220:{1,3,5,6}:{(181,1),(182,1),(246,1),(252,1),(254,1),(296,1),(298,1),(312,1)}
       221:{2,4,6}:{(182,1),(183,1),(247,1),(254,1),(255,1)}
       222:{1,3,4,5}:{(183,1),(200,1),(255,1),(268,1),(298,1),(303,1)}
       223:{1,3,5}:{(184,1),(185,1),(252,1),(256,1),(257,1)}
       224:{2,3,4}:{(185,1),(257,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(198,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(199,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(200,1),(260,1),(261,1)}
       228:{2,3,6,7}:{(189,1),(193,1),(201,1),(258,1),(262,1),(291,1),(313,1)}
       229:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(202,1),(205,1),(249,1),(259,1),(262,1),(263,1),(266,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       230:{2,3,5,7}:{(190,1),(191,1),(203,1),(206,1),(250,1),(260,1),(263,1),(264,1)}
       231:{3,5,6}:{(191,1),(192,1),(261,1),(313,1)}
       232:{2,4,7}:{(193,1),(194,1),(196,1),(265,1)}
       233:{1,3,5,7}:{(194,1),(195,1),(197,1),(208,1),(265,1),(266,1)}
       234:{2,3,6}:{(195,1),(209,1),(266,1),(313,1)}
       235:{2,5}:{(196,1),(197,1)}
       236:{2,3,5,6}:{(198,1),(201,1),(258,1),(267,1),(269,1),(302,1),(303,1),(313,1)}
       237:{1,4,6}:{(198,1),(199,1),(259,1),(267,1),(268,1)}
       238:{2,4,5}:{(199,1),(200,1),(203,1),(268,1)}
       239:{2,4,6}:{(201,1),(202,1),(204,1),(269,1)}
       240:{1,3,5}:{(202,1),(203,1),(268,1),(269,1),(303,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(266,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(218,1),(271,1),(273,1),(304,1)}
       245:{2,3,7}:{(210,1),(219,1),(271,1)}
       246:{1,3,5,7}:{(211,1),(212,1),(214,1),(220,1),(271,1),(273,1),(276,1)}
       247:{2,4,7}:{(212,1),(213,1),(221,1),(273,1)}
       248:{1,3,4,5,7}:{(213,1),(216,1),(222,1),(227,1),(274,1),(275,1),(284,1),(305,1),(309,1)}
       249:{1,4,6,7}:{(214,1),(215,1),(273,1),(276,1),(307,1)}
       250:{2,5,7}:{(215,1),(216,1),(276,1),(277,1)}
       251:{1,3,5,6}:{(216,1),(217,1),(231,1),(275,1),(277,1)}
       252:{1,3,6}:{(218,1),(219,1),(223,1),(271,1),(278,1)}
       253:{2,3,4,6}:{(219,1),(221,1),(224,1),(272,1),(279,1),(280,1),(289,1),(306,1)}
       254:{1,4,6}:{(220,1),(221,1),(273,1),(281,1)}
       255:{2,4,5}:{(221,1),(222,1),(280,1),(281,1),(308,1)}
       256:{2,3,5}:{(223,1),(278,1),(282,1),(308,1)}
       257:{1,3,4}:{(223,1),(224,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(236,1),(283,1),(286,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(237,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(238,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(231,1),(285,1)}
       262:{2,4,6,7}:{(228,1),(229,1),(232,1),(239,1),(283,1),(286,1),(288,1),(304,1),(310,1),(314,1)}
       263:{1,3,5,7}:{(229,1),(230,1),(240,1),(241,1),(276,1),(284,1),(286,1),(287,1),(309,1)}
       264:{2,3,5,6}:{(230,1),(231,1),(234,1),(242,1),(277,1),(285,1),(287,1),(306,1)}
       265:{2,5,7}:{(232,1),(233,1),(235,1),(288,1)}
       266:{1,3,6}:{(233,1),(234,1),(243,1),(288,1)}
       267:{2,4,6}:{(236,1),(237,1),(283,1),(289,1),(290,1)}
       268:{1,4,5}:{(237,1),(238,1),(240,1),(290,1)}
       269:{2,5}:{(239,1),(240,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(252,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(253,1),(292,1),(293,1),(299,1)}
       273:{1,4,7}:{(246,1),(247,1),(254,1)}
       274:{2,4,5,7}:{(247,1),(248,1),(250,1),(255,1),(293,1),(294,1),(295,1),(311,1)}
       275:{1,3,4,6}:{(248,1),(251,1),(261,1),(295,1),(301,1),(312,1),(313,1)}
       276:{1,5,7}:{(249,1),(250,1),(296,1)}
       277:{2,5,6}:{(250,1),(251,1),(295,1),(296,1)}
       278:{2,3,6}:{(252,1),(256,1),(291,1),(297,1)}
       279:{1,3,4,6}:{(252,1),(253,1),(254,1),(257,1),(292,1),(297,1),(298,1),(312,1)}
       280:{2,3,5}:{(253,1),(255,1),(298,1),(303,1)}
       281:{1,4,5}:{(254,1),(255,1),(298,1)}
       282:{2,4}:{(256,1),(257,1)}
       283:{2,4,7}:{(258,1),(259,1),(267,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(268,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(264,1),(301,1)}
       286:{2,5,7}:{(262,1),(263,1),(269,1),(302,1)}
       287:{1,3,5,6}:{(263,1),(264,1),(266,1),(270,1),(296,1),(301,1),(302,1),(312,1),(313,1)}
       288:{2,6}:{(265,1),(266,1)}
       289:{3,4,6}:{(267,1),(299,1),(303,1),(313,1)}
       290:{2,4,5}:{(267,1),(268,1),(269,1),(303,1)}
       291:{2,3,7}:{(271,1),(278,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(273,1),(279,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(274,1),(280,1),(305,1),(306,1),(309,1)}
       294:{1,4,5,7}:{(273,1),(274,1),(276,1),(281,1),(305,1),(307,1)}
       295:{2,4,6}:{(274,1),(275,1),(277,1),(306,1),(307,1),(314,1)}
       296:{1,5,6}:{(276,1),(277,1),(307,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(304,1),(308,1),(314,1)}
       298:{1,3,5}:{(279,1),(280,1),(281,1),(308,1)}
       299:{3,4,7}:{(283,1),(289,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(286,1),(290,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(287,1),(310,1)}
       302:{2,5,6}:{(286,1),(287,1),(288,1),(310,1),(314,1)}
       303:{3,5}:{(289,1),(290,1)}
       304:{2,4,7}:{(291,1),(292,1),(297,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(295,1),(312,1),(313,1)}
       307:{1,4,6}:{(294,1),(295,1),(296,1),(312,1)}
       308:{2,5}:{(297,1),(298,1)}
       309:{3,5,7}:{(299,1),(300,1),(303,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(302,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(308,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2082 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(27,1),(31,1),(40,1),(42,1),(85,1),(94,1),(95,1),(145,1),(175,1),(218,1),(223,1),(227,1),(268,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(80,1),(152,1),(223,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(44,1),(49,1),(51,1),(60,1),(71,1),(110,1),(179,1),(191,1),(192,1),(196,1),(197,1),(242,1),(250,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(183,1),(245,1),(250,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(53,1),(59,1),(64,1),(66,1),(122,1),(198,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(250,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(117,1),(190,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(73,1),(74,1),(85,1),(92,1),(144,1),(147,1),(148,1),(167,1),(213,1),(223,1),(227,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(26,1),(27,1),(28,1),(31,1),(74,1),(81,1),(85,1),(94,1),(147,1),(154,1),(160,1),(223,1),(227,1)}
        12:{1,3,4,6}:{(3,1),(28,1),(29,1),(37,1),(86,1),(100,1),(162,1),(163,1),(211,1),(229,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(268,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(85,1),(94,1),(157,1),(226,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(229,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(88,1),(94,1),(161,1),(218,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(152,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,5,7}:{(10,1),(44,1),(45,1),(46,1),(110,1),(129,1),(202,1),(242,1),(250,1),(254,1)}
        24:{1,2,4,6}:{(10,1),(46,1),(47,1),(53,1),(109,1),(114,1),(122,1),(198,1),(240,1),(306,1)}
        25:{1,3,4,6,7}:{(12,1),(48,1),(49,1),(57,1),(115,1),(128,1),(191,1),(192,1),(250,1)}
        26:{2,3,5,7}:{(11,1),(50,1),(51,1),(52,1),(71,1),(121,1),(139,1),(242,1),(250,1),(254,1),(283,1)}
        27:{1,4,5,7}:{(11,1),(51,1),(53,1),(58,1),(108,1),(117,1),(131,1),(185,1),(191,1),(196,1)}
        28:{2,4,6}:{(11,1),(12,1),(52,1),(53,1),(54,1),(122,1)}
        29:{1,3,5,6}:{(12,1),(49,1),(54,1),(55,1),(60,1),(110,1),(126,1)}
        30:{1,3,5,6,7}:{(17,1),(49,1),(56,1),(57,1),(128,1),(176,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(122,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(245,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(190,1),(208,1),(250,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(24,1),(72,1),(73,1),(80,1),(140,1),(144,1),(152,1),(223,1)}
        44:{1,3,4,7}:{(23,1),(74,1),(75,1),(144,1),(216,1),(233,1),(275,1)}
        45:{2,3,5,7}:{(23,1),(74,1),(76,1),(77,1),(85,1),(147,1),(157,1),(226,1)}
        46:{1,3,6}:{(23,1),(24,1),(77,1),(229,1),(264,1)}
        47:{1,2,5,6}:{(24,1),(73,1),(78,1),(88,1),(147,1),(161,1),(167,1),(210,1),(301,1)}
        48:{2,4,6,7}:{(25,1),(28,1),(79,1),(80,1),(81,1),(152,1),(154,1),(223,1)}
        49:{1,3,5,7}:{(25,1),(29,1),(81,1),(82,1),(156,1)}
        50:{2,3,4,7}:{(26,1),(31,1),(74,1),(83,1),(84,1),(103,1),(154,1),(157,1),(174,1),(216,1),(267,1),(273,1),(275,1)}
        51:{1,3,5,7}:{(26,1),(27,1),(83,1),(85,1),(86,1),(159,1),(175,1),(297,1)}
        52:{2,3,6}:{(26,1),(28,1),(86,1),(100,1),(172,1),(229,1),(264,1),(296,1)}
        53:{1,4,6}:{(27,1),(28,1),(86,1),(88,1)}
        54:{2,5,6}:{(28,1),(29,1),(81,1),(88,1),(94,1),(147,1)}
        55:{1,4,5,6}:{(29,1),(37,1),(82,1),(89,1),(95,1),(148,1),(162,1),(211,1),(231,1)}
        56:{2,5,6,7}:{(30,1),(36,1),(81,1),(90,1),(91,1),(210,1)}
        57:{1,4,6,7}:{(30,1),(37,1),(82,1),(91,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(85,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(161,1),(169,1),(172,1),(226,1),(229,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(268,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(152,1),(172,1),(232,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(46,1),(106,1),(107,1),(250,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(47,1),(107,1),(117,1),(178,1),(190,1),(307,1)}
        74:{2,4,7}:{(44,1),(45,1),(108,1),(109,1),(253,1)}
        75:{1,3,4,6}:{(44,1),(46,1),(109,1),(110,1),(114,1),(189,1)}
        76:{1,3,5,7}:{(45,1),(108,1),(111,1),(112,1),(183,1),(185,1),(245,1)}
        77:{2,3,6}:{(45,1),(46,1),(109,1),(112,1),(122,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(107,1),(110,1),(113,1),(114,1),(202,1),(288,1),(289,1),(306,1)}
        79:{2,3,6,7}:{(48,1),(52,1),(115,1),(116,1),(128,1),(201,1),(250,1)}
        80:{1,4,6,7}:{(48,1),(53,1),(115,1),(117,1),(191,1)}
        81:{2,5,7}:{(48,1),(49,1),(54,1),(117,1)}
        82:{1,4,5,7}:{(49,1),(55,1),(57,1),(118,1),(191,1),(252,1)}
        83:{1,3,4,7}:{(50,1),(51,1),(58,1),(108,1),(119,1),(120,1),(129,1),(183,1),(191,1),(209,1),(250,1),(285,1),(290,1)}
        84:{2,3,4,6}:{(50,1),(52,1),(59,1),(109,1),(120,1),(121,1),(124,1),(135,1),(189,1),(194,1),(206,1),(249,1),(253,1),(256,1),(291,1)}
        85:{2,5,7}:{(51,1),(119,1),(122,1),(195,1)}
        86:{1,3,6}:{(51,1),(52,1),(53,1),(122,1),(207,1),(306,1)}
        87:{2,3,5,6}:{(52,1),(54,1),(116,1),(121,1),(123,1),(124,1),(126,1),(200,1),(256,1)}
        88:{1,5,6}:{(53,1),(54,1),(117,1),(131,1),(185,1)}
        89:{2,4,5,6}:{(54,1),(55,1),(66,1),(118,1),(124,1),(125,1),(126,1),(132,1),(186,1),(198,1),(200,1),(240,1)}
        90:{1,5,6,7}:{(56,1),(65,1),(117,1),(127,1),(239,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(66,1),(118,1),(127,1),(128,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(119,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(122,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(190,1),(252,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(250,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(75,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(77,1),(140,1),(142,1),(143,1),(152,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(78,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,4,7}:{(74,1),(76,1),(146,1),(268,1)}
       109:{2,4,6}:{(74,1),(75,1),(77,1),(146,1),(147,1)}
       110:{1,3,5}:{(75,1),(147,1),(148,1),(220,1)}
       111:{1,2,5,7}:{(76,1),(85,1),(145,1),(149,1),(175,1),(218,1)}
       112:{1,3,6}:{(76,1),(77,1),(146,1),(149,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(143,1),(147,1),(150,1),(151,1),(161,1),(210,1),(220,1),(226,1),(229,1),(264,1),(270,1),(271,1),(296,1)}
       114:{1,4,6}:{(78,1),(144,1),(148,1),(151,1),(233,1)}
       115:{1,3,6,7}:{(79,1),(80,1),(86,1),(152,1),(153,1),(232,1)}
       116:{2,3,5,7}:{(79,1),(81,1),(87,1),(153,1),(154,1),(156,1),(225,1),(273,1)}
       117:{1,5,7}:{(80,1),(81,1),(88,1)}
       118:{2,4,5,7}:{(81,1),(82,1),(89,1),(91,1),(154,1),(155,1),(156,1),(223,1),(225,1)}
       119:{2,4,7}:{(83,1),(85,1),(157,1),(158,1),(302,1)}
       120:{1,3,4,6}:{(83,1),(84,1),(86,1),(93,1),(146,1),(158,1),(159,1),(162,1),(166,1),(217,1),(229,1),(233,1),(237,1),(268,1),(272,1),(275,1),(278,1),(303,1)}
       121:{2,3,5}:{(84,1),(94,1),(147,1),(159,1),(160,1),(169,1),(220,1),(235,1),(270,1)}
       122:{2,6}:{(85,1),(86,1)}
       123:{1,3,5,6}:{(86,1),(87,1),(88,1),(153,1),(159,1),(161,1),(162,1),(229,1),(231,1),(278,1)}
       124:{2,4,6}:{(87,1),(154,1),(160,1),(162,1),(163,1)}
       125:{1,4,5,6}:{(88,1),(89,1),(99,1),(155,1),(162,1),(164,1),(168,1),(219,1),(263,1)}
       126:{3,5,6}:{(89,1),(100,1),(156,1),(163,1),(169,1),(220,1),(229,1),(264,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(99,1),(155,1),(165,1),(263,1)}
       128:{3,6,7}:{(91,1),(100,1),(156,1),(264,1)}
       129:{1,3,7}:{(92,1),(157,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(158,1),(166,1),(167,1),(233,1),(272,1),(301,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(161,1),(167,1),(170,1),(172,1),(231,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(229,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(223,1),(274,1),(302,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(109,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(110,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(112,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(113,1),(178,1),(181,1),(182,1),(190,1),(242,1),(250,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(114,1),(182,1)}
       145:{1,2,4,7}:{(108,1),(111,1),(119,1),(183,1),(184,1),(209,1),(262,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1),(185,1)}
       147:{2,5}:{(109,1),(110,1),(185,1)}
       148:{1,4,5}:{(110,1),(114,1),(186,1),(288,1)}
       149:{1,2,6}:{(111,1),(112,1),(122,1),(207,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(181,1),(185,1),(187,1),(188,1),(239,1),(245,1),(247,1),(248,1),(282,1)}
       151:{2,4,6}:{(113,1),(114,1),(182,1),(186,1),(188,1),(189,1),(253,1)}
       152:{2,6,7}:{(115,1),(122,1),(190,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(117,1),(123,1),(190,1),(191,1),(250,1),(252,1),(290,1)}
       154:{2,4,7}:{(116,1),(124,1),(191,1),(192,1)}
       155:{1,4,5,7}:{(117,1),(118,1),(125,1),(127,1),(191,1),(193,1)}
       156:{3,5,7}:{(118,1),(126,1),(128,1),(192,1),(250,1)}
       157:{2,3,7}:{(119,1),(129,1),(183,1),(194,1),(250,1)}
       158:{2,4,6}:{(119,1),(120,1),(122,1),(194,1),(195,1),(253,1),(293,1),(310,1)}
       159:{1,3,5}:{(120,1),(121,1),(131,1),(185,1),(195,1),(196,1),(254,1),(260,1),(288,1)}
       160:{2,4,5}:{(121,1),(124,1),(196,1),(197,1),(253,1)}
       161:{2,5,6}:{(122,1),(123,1),(190,1),(195,1),(198,1),(293,1)}
       162:{1,4,6}:{(123,1),(124,1),(191,1),(196,1),(198,1)}
       163:{3,4,6}:{(124,1),(126,1),(192,1),(197,1)}
       164:{1,3,5,6}:{(125,1),(126,1),(136,1),(193,1),(199,1),(200,1),(204,1),(247,1),(282,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(136,1),(193,1),(201,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(194,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(195,1),(202,1),(288,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(198,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(250,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(146,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(147,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(148,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(149,1),(152,1),(214,1),(232,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(150,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(151,1),(215,1),(216,1)}
       183:{1,3,7}:{(145,1),(157,1),(217,1)}
       184:{1,2,4,6}:{(145,1),(146,1),(149,1),(158,1),(217,1),(218,1),(237,1),(268,1),(281,1),(305,1)}
       185:{1,5}:{(146,1),(147,1)}
       186:{2,4,5}:{(147,1),(148,1),(151,1),(219,1),(220,1),(270,1)}
       187:{1,2,5,6}:{(149,1),(150,1),(161,1),(214,1),(218,1),(221,1),(231,1),(270,1),(296,1)}
       188:{1,4,6}:{(150,1),(151,1),(215,1),(219,1),(268,1)}
       189:{3,4,6}:{(151,1),(216,1),(220,1),(229,1),(264,1),(275,1)}
       190:{2,5,7}:{(152,1),(153,1),(161,1),(223,1),(302,1)}
       191:{1,4,7}:{(153,1),(154,1),(162,1),(223,1)}
       192:{3,4,7}:{(154,1),(156,1),(163,1)}
       193:{1,3,5,7}:{(155,1),(156,1),(164,1),(165,1),(224,1),(225,1)}
       194:{2,3,6}:{(157,1),(158,1),(166,1),(217,1),(226,1),(229,1),(313,1)}
       195:{2,5}:{(158,1),(159,1)}
       196:{1,4,5}:{(159,1),(160,1),(162,1),(227,1),(233,1),(268,1)}
       197:{3,4,5}:{(160,1),(163,1),(169,1),(220,1),(275,1)}
       198:{2,4,6}:{(161,1),(162,1),(223,1),(227,1),(229,1)}
       199:{1,3,4,6}:{(162,1),(163,1),(164,1),(224,1),(228,1),(229,1),(230,1),(278,1)}
       200:{2,5,6}:{(164,1),(172,1),(225,1),(230,1),(231,1),(235,1),(270,1),(296,1)}
       201:{2,6,7}:{(165,1),(172,1),(225,1),(232,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(226,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(227,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(229,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(302,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(185,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(186,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(187,1),(190,1),(243,1),(252,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(188,1)}
       216:{3,4,7}:{(182,1),(189,1),(242,1),(250,1)}
       217:{1,3,6}:{(183,1),(184,1),(194,1),(245,1),(311,1)}
       218:{1,2,5}:{(184,1),(185,1),(195,1),(245,1),(260,1)}
       219:{1,4,5}:{(185,1),(186,1),(188,1),(247,1)}
       220:{3,5}:{(186,1),(189,1)}
       221:{1,2,4,6}:{(187,1),(188,1),(198,1),(243,1),(246,1),(248,1),(249,1),(257,1),(293,1)}
       222:{1,3,4,6}:{(188,1),(189,1),(244,1),(247,1),(248,1),(249,1),(282,1),(286,1)}
       223:{2,4,7}:{(190,1),(191,1),(198,1),(250,1)}
       224:{1,3,4,7}:{(191,1),(192,1),(193,1),(199,1),(250,1),(251,1),(290,1)}
       225:{2,5,7}:{(193,1),(200,1),(201,1),(251,1),(252,1)}
       226:{2,3,5}:{(194,1),(195,1),(202,1),(245,1),(253,1),(254,1)}
       227:{2,4,5}:{(195,1),(196,1),(198,1),(253,1),(254,1)}
       228:{1,3,4,5}:{(196,1),(197,1),(199,1),(204,1),(247,1),(254,1),(255,1),(258,1),(286,1),(292,1)}
       229:{3,6}:{(198,1),(250,1),(254,1)}
       230:{2,4,6}:{(199,1),(200,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       231:{1,5,6}:{(200,1),(207,1),(252,1),(257,1),(260,1),(288,1),(306,1)}
       232:{1,6,7}:{(201,1),(207,1),(252,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(219,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(220,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(221,1),(223,1),(266,1),(267,1),(274,1),(302,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(222,1),(265,1),(266,1),(267,1)}
       245:{1,3,5}:{(217,1),(218,1),(226,1),(268,1)}
       246:{1,2,4,5}:{(218,1),(219,1),(221,1),(227,1),(268,1),(269,1),(270,1),(277,1),(299,1),(304,1),(305,1)}
       247:{1,3,5}:{(219,1),(220,1),(222,1),(270,1)}
       248:{1,3,6}:{(221,1),(229,1),(266,1),(269,1),(271,1)}
       249:{2,4,6}:{(222,1),(267,1),(270,1),(271,1),(272,1),(296,1),(299,1)}
       250:{3,7}:{(223,1),(229,1)}
       251:{2,4,7}:{(224,1),(225,1),(230,1),(273,1),(274,1),(302,1)}
       252:{1,5,7}:{(225,1),(231,1),(232,1),(274,1)}
       253:{2,4}:{(226,1),(233,1),(268,1),(275,1)}
       254:{3,5}:{(227,1),(229,1),(275,1)}
       255:{2,4,5}:{(228,1),(230,1),(235,1),(270,1),(276,1),(277,1),(279,1),(299,1),(304,1)}
       256:{2,3,6}:{(229,1),(230,1),(273,1),(276,1),(278,1)}
       257:{1,4,6}:{(230,1),(231,1),(274,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(302,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(247,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(248,1),(250,1),(284,1)}
       267:{2,4,7}:{(244,1),(249,1),(283,1),(284,1),(285,1)}
       268:{1,4}:{(245,1),(253,1)}
       269:{1,3,5}:{(246,1),(248,1),(254,1),(286,1),(287,1),(311,1)}
       270:{2,5}:{(247,1),(249,1),(288,1)}
       271:{2,3,6}:{(248,1),(249,1),(284,1),(287,1),(289,1),(293,1)}
       272:{1,4,6}:{(249,1),(285,1),(288,1),(289,1),(306,1),(308,1)}
       273:{2,3,7}:{(250,1),(251,1),(256,1),(290,1)}
       274:{1,4,7}:{(251,1),(252,1),(257,1),(290,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(288,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(290,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(270,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(271,1),(298,1),(302,1)}
       285:{1,4,7}:{(267,1),(272,1),(297,1),(298,1)}
       286:{1,3,4}:{(268,1),(269,1),(275,1),(299,1)}
       287:{2,3,5}:{(269,1),(270,1),(271,1),(299,1),(300,1),(304,1),(313,1)}
       288:{1,5}:{(270,1),(272,1)}
       289:{1,3,6}:{(271,1),(272,1),(298,1),(300,1),(301,1)}
       290:{1,3,7}:{(273,1),(274,1),(278,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(299,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(302,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(288,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(289,1),(307,1)}
       299:{2,4}:{(286,1),(287,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(289,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(289,1),(293,1),(307,1),(309,1)}
       302:{2,7}:{(290,1),(293,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

2083 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(63,1),(136,1),(237,1),(240,1),(242,1),(353,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(298,1),(404,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(95,1),(403,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(135,1),(240,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(136,1),(280,1),(351,1),(354,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(451,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(242,1),(352,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(97,1),(196,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(298,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(186,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(107,1),(118,1),(120,1),(188,1),(191,1),(301,1),(314,1),(403,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(254,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(238,1),(281,1),(354,1),(390,1),(392,1),(451,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(240,1),(370,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(242,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(155,1),(168,1),(169,1),(244,1),(249,1),(358,1),(371,1),(451,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(403,1),(418,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(194,1),(224,1),(231,1),(313,1),(339,1),(342,1),(419,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(191,1),(196,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(296,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(298,1),(421,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(210,1),(308,1),(415,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(66,1),(143,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(72,1),(84,1),(151,1),(160,1),(162,1),(248,1),(264,1),(266,1),(271,1)}
        42:{1,3,4,5,6}:{(27,1),(69,1),(70,1),(79,1),(140,1),(257,1),(259,1),(262,1),(370,1),(374,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(448,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(451,1),(464,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(252,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(249,1),(254,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(352,1),(451,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(460,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(268,1),(358,1),(364,1),(476,1)}
        63:{1,2,3,5}:{(93,1),(95,1),(182,1),(184,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(100,1),(111,1),(184,1),(288,1)}
        65:{2,3,4,5,7}:{(40,1),(46,1),(99,1),(101,1),(102,1),(129,1),(195,1),(202,1),(228,1),(303,1),(311,1),(412,1),(417,1),(419,1),(479,1),(501,1)}
        66:{2,3,4,6}:{(40,1),(47,1),(96,1),(100,1),(102,1),(196,1),(304,1),(418,1)}
        67:{1,2,3,5,7}:{(41,1),(104,1),(105,1),(125,1),(205,1),(207,1),(215,1),(307,1),(329,1)}
        68:{1,2,4,6}:{(41,1),(44,1),(103,1),(105,1),(106,1),(304,1),(328,1)}
        69:{2,4,5,6}:{(42,1),(47,1),(96,1),(107,1),(108,1),(118,1),(191,1),(304,1),(410,1)}
        70:{1,3,4,5,7}:{(42,1),(49,1),(108,1),(109,1),(121,1),(192,1),(317,1),(318,1),(320,1),(421,1),(425,1)}
        71:{1,3,4}:{(44,1),(97,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(486,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(98,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(539,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(191,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(311,1),(419,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(308,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(404,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(240,1)}
        94:{1,2,3,5,7}:{(63,1),(133,1),(136,1),(137,1),(236,1),(239,1),(242,1),(280,1),(379,1),(389,1)}
        95:{1,2,4}:{(63,1),(135,1)}
        96:{2,3,5,6}:{(66,1),(69,1),(140,1),(141,1),(370,1)}
        97:{2,3,4}:{(71,1),(135,1),(143,1)}
        98:{2,4,5}:{(64,1),(143,1),(145,1)}
        99:{1,3,4,5,7}:{(64,1),(65,1),(75,1),(144,1),(146,1),(147,1),(159,1),(239,1),(258,1),(270,1),(285,1),(343,1),(352,1),(367,1),(382,1),(451,1),(462,1),(464,1),(510,1),(526,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(76,1),(140,1),(145,1),(147,1),(160,1),(240,1),(344,1)}
       101:{2,3,4,6}:{(65,1),(77,1),(146,1),(148,1),(177,1),(253,1),(286,1),(359,1),(368,1),(458,1),(511,1)}
       102:{2,3,4,7}:{(66,1),(78,1),(141,1),(147,1),(254,1),(360,1),(464,1)}
       103:{1,3,4,6}:{(68,1),(71,1),(139,1),(150,1),(151,1),(160,1),(264,1)}
       104:{1,2,3,6,7}:{(67,1),(72,1),(152,1),(173,1),(264,1),(272,1),(363,1),(443,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(150,1),(360,1),(382,1)}
       106:{1,2,4,5}:{(68,1),(151,1),(162,1),(245,1),(270,1)}
       107:{1,4,5,6}:{(69,1),(76,1),(140,1),(155,1),(165,1),(344,1),(438,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(78,1),(141,1),(155,1),(156,1),(168,1),(249,1),(360,1),(457,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(365,1),(366,1),(460,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(142,1),(158,1),(159,1),(382,1),(516,1)}
       111:{1,3,5}:{(71,1),(74,1),(143,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(448,1),(520,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(144,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(517,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(145,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(249,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(367,1),(464,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(364,1),(369,1),(388,1),(391,1),(460,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(451,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(298,1)}
       134:{1,2,4,6}:{(93,1),(95,1),(179,1),(181,1),(182,1),(294,1)}
       135:{1,3,4}:{(95,1),(97,1),(184,1)}
       136:{1,2,3,6}:{(94,1),(186,1),(294,1),(297,1),(436,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(183,1),(186,1),(428,1)}
       138:{1,2,4,5}:{(95,1),(98,1),(182,1),(184,1),(188,1),(288,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(196,1),(304,1),(306,1)}
       140:{1,3,5,6}:{(96,1),(100,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(102,1),(108,1),(192,1),(193,1),(421,1)}
       142:{2,3,4,7}:{(97,1),(110,1),(183,1),(194,1),(195,1),(419,1),(498,1)}
       143:{2,3,5}:{(97,1),(98,1),(111,1),(184,1),(196,1)}
       144:{2,4,5,7}:{(98,1),(99,1),(195,1),(197,1),(198,1),(311,1),(315,1),(419,1),(499,1),(542,1)}
       145:{2,4,6}:{(98,1),(100,1),(191,1),(196,1),(198,1)}
       146:{1,3,4,6}:{(99,1),(101,1),(116,1),(197,1),(199,1),(214,1),(297,1),(328,1),(341,1),(393,1),(403,1),(418,1),(532,1)}
       147:{1,3,4,7}:{(100,1),(102,1),(117,1),(192,1),(198,1),(215,1),(298,1),(394,1)}
       148:{2,3,5,6}:{(101,1),(118,1),(199,1),(201,1),(202,1),(222,1),(335,1),(410,1),(493,1),(530,1)}
       149:{2,3,4,6,7}:{(101,1),(102,1),(119,1),(193,1),(200,1),(202,1),(231,1),(310,1),(313,1),(342,1),(411,1),(419,1),(495,1),(496,1),(501,1),(533,1)}
       150:{1,3,4,7}:{(103,1),(105,1),(189,1),(205,1),(215,1)}
       151:{1,3,5}:{(103,1),(106,1),(190,1)}
       152:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(204,1),(207,1),(208,1),(411,1),(482,1),(534,1)}
       153:{1,2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(303,1),(321,1)}
       154:{1,2,4,5,6}:{(106,1),(107,1),(115,1),(191,1),(206,1),(208,1),(209,1),(218,1),(304,1),(314,1),(328,1),(410,1),(424,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(117,1),(192,1),(210,1),(221,1),(394,1),(478,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(308,1)}
       157:{1,3,5,6,7}:{(109,1),(121,1),(211,1),(212,1),(326,1),(425,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(194,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(195,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(196,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(486,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(197,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(198,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(308,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(419,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(139,1),(232,1),(233,1),(240,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(136,1),(234,1),(235,1),(354,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{1,3,4,7}:{(135,1),(137,1),(142,1),(238,1),(239,1),(451,1),(470,1)}
       184:{1,3,5}:{(135,1),(138,1),(143,1),(240,1)}
       185:{1,2,3,5,6}:{(136,1),(234,1),(241,1),(242,1),(350,1),(353,1),(356,1),(379,1),(446,1),(454,1),(474,1),(528,1)}
       186:{1,2,4,6}:{(136,1),(137,1),(238,1),(242,1)}
       187:{1,2,4,5,7}:{(137,1),(138,1),(144,1),(236,1),(239,1),(242,1),(243,1),(244,1),(285,1),(343,1),(352,1),(358,1),(389,1),(451,1),(471,1),(529,1)}
       188:{1,2,4,6}:{(138,1),(145,1),(237,1),(240,1),(244,1),(344,1)}
       189:{2,3,4,7}:{(139,1),(150,1),(232,1),(247,1),(254,1),(360,1)}
       190:{2,3,5}:{(139,1),(151,1),(233,1),(245,1)}
       191:{2,5,6}:{(140,1),(145,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(147,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(460,1)}
       194:{2,3,4,6}:{(142,1),(158,1),(238,1),(252,1),(253,1),(368,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(144,1),(159,1),(239,1),(252,1),(253,1),(254,1),(524,1),(550,1)}
       196:{2,3,6}:{(143,1),(145,1),(160,1),(240,1),(254,1)}
       197:{2,4,6}:{(144,1),(146,1),(253,1),(255,1)}
       198:{2,4,7}:{(145,1),(147,1),(249,1),(254,1)}
       199:{1,3,5,6}:{(146,1),(148,1),(165,1),(255,1),(257,1),(258,1),(370,1),(387,1),(438,1),(544,1)}
       200:{1,3,4,6,7}:{(146,1),(147,1),(149,1),(166,1),(250,1),(256,1),(258,1),(272,1),(354,1),(365,1),(382,1),(392,1),(439,1),(451,1),(460,1),(464,1),(523,1),(526,1),(546,1)}
       201:{2,4,5,6}:{(148,1),(257,1),(259,1),(260,1),(368,1)}
       202:{2,3,5,7}:{(148,1),(149,1),(168,1),(258,1),(260,1),(279,1),(388,1),(457,1),(522,1),(545,1)}
       203:{1,3,4,5}:{(151,1),(245,1),(262,1),(270,1),(367,1)}
       204:{1,3,4,6,7}:{(150,1),(152,1),(158,1),(246,1),(263,1),(264,1),(272,1),(376,1),(382,1),(444,1),(514,1),(546,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,5,6}:{(151,1),(154,1),(160,1),(248,1),(262,1),(264,1),(265,1),(370,1)}
       207:{1,2,5,7}:{(152,1),(162,1),(263,1),(266,1),(457,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(266,1),(359,1),(376,1)}
       209:{1,2,4,5,7}:{(154,1),(155,1),(164,1),(249,1),(265,1),(267,1),(276,1),(360,1),(371,1),(382,1),(457,1),(468,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(168,1),(268,1),(457,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(365,1),(468,1),(469,1)}
       213:{1,3,5}:{(158,1),(162,1),(252,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(253,1)}
       215:{1,3,7}:{(160,1),(164,1),(254,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(516,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(255,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(256,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(364,1),(388,1),(469,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(460,1),(464,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(189,1),(290,1),(298,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(190,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(185,1),(292,1),(293,1),(399,1),(404,1),(492,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(186,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(188,1),(191,1),(291,1),(294,1),(295,1)}
       238:{1,3,4,6}:{(183,1),(186,1),(194,1),(296,1),(297,1),(403,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(187,1),(195,1),(296,1),(297,1),(298,1),(504,1),(543,1)}
       240:{1,3,6}:{(184,1),(188,1),(196,1),(298,1)}
       241:{1,2,4,6}:{(185,1),(292,1),(299,1),(300,1),(403,1),(428,1),(488,1)}
       242:{1,2,5}:{(186,1),(296,1)}
       243:{1,2,4,6}:{(187,1),(197,1),(294,1),(297,1),(301,1),(341,1),(393,1),(403,1),(436,1)}
       244:{1,2,4,7}:{(188,1),(198,1),(295,1),(298,1),(394,1)}
       245:{2,4,5}:{(190,1),(203,1),(288,1),(304,1)}
       246:{2,3,4,6,7}:{(189,1),(194,1),(204,1),(289,1),(305,1),(306,1),(313,1),(398,1),(411,1),(413,1),(419,1),(484,1),(495,1),(533,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(290,1),(303,1),(306,1)}
       248:{2,3,5,6}:{(190,1),(191,1),(196,1),(206,1),(291,1),(304,1),(306,1),(307,1),(410,1)}
       249:{2,5,7}:{(191,1),(192,1),(198,1),(308,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(308,1)}
       251:{2,3,5,6,7}:{(193,1),(202,1),(211,1),(309,1),(310,1),(326,1),(427,1),(496,1)}
       252:{2,3,5}:{(194,1),(213,1),(296,1),(311,1)}
       253:{2,3,6}:{(195,1),(197,1),(214,1),(297,1)}
       254:{2,3,7}:{(196,1),(198,1),(215,1),(298,1)}
       255:{2,5,6}:{(197,1),(199,1),(315,1)}
       256:{2,4,6,7}:{(197,1),(198,1),(200,1),(308,1),(313,1),(315,1),(419,1),(540,1),(542,1)}
       257:{1,4,5,6}:{(199,1),(201,1),(314,1),(317,1),(328,1),(403,1)}
       258:{1,3,5,7}:{(199,1),(200,1),(202,1),(221,1),(315,1),(317,1),(421,1),(435,1),(478,1),(551,1)}
       259:{3,4,5,6}:{(201,1),(222,1),(318,1),(418,1),(493,1)}
       260:{2,4,5,7}:{(201,1),(202,1),(310,1),(317,1),(318,1),(419,1)}
       261:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(319,1),(320,1),(321,1),(412,1),(425,1)}
       262:{1,3,4,6}:{(203,1),(206,1),(304,1),(320,1),(328,1),(418,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(305,1),(321,1),(322,1),(551,1)}
       264:{1,3,6}:{(205,1),(208,1),(306,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(307,1),(320,1),(323,1),(421,1)}
       266:{1,2,5,6}:{(207,1),(208,1),(322,1),(410,1),(534,1)}
       267:{1,2,4,6,7}:{(208,1),(209,1),(210,1),(308,1),(323,1),(324,1),(411,1),(415,1),(426,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(221,1),(478,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(223,1),(310,1),(325,1),(326,1),(415,1),(427,1),(494,1)}
       270:{1,4,5}:{(213,1),(311,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(312,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(313,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(314,1),(328,1),(333,1),(334,1),(335,1),(422,1),(430,1),(502,1),(537,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(315,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(415,1),(497,1),(540,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(245,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(238,1),(246,1),(345,1),(346,1),(348,1),(354,1),(439,1),(441,1),(446,1),(451,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(247,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(240,1),(248,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(241,1),(348,1),(451,1),(519,1)}
       293:{1,2,5,7}:{(235,1),(242,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(244,1),(249,1),(347,1),(351,1)}
       296:{1,3,5}:{(238,1),(242,1),(252,1),(352,1)}
       297:{1,3,6}:{(239,1),(243,1),(253,1)}
       298:{1,3,7}:{(240,1),(244,1),(254,1)}
       299:{1,3,4,6}:{(241,1),(348,1),(355,1),(356,1),(446,1),(470,1),(528,1)}
       300:{1,2,4,5}:{(241,1),(242,1),(352,1),(356,1),(449,1)}
       301:{1,2,5,6}:{(242,1),(243,1),(255,1),(353,1),(358,1),(387,1),(438,1)}
       302:{1,2,4,6,7}:{(243,1),(244,1),(256,1),(351,1),(354,1),(358,1),(392,1),(439,1),(451,1),(476,1),(529,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(261,1),(343,1),(359,1),(360,1),(457,1)}
       304:{2,4,6}:{(245,1),(248,1),(262,1),(344,1),(360,1)}
       305:{2,3,5,7}:{(246,1),(252,1),(263,1),(345,1),(361,1),(362,1),(457,1),(522,1),(545,1)}
       306:{2,3,6}:{(247,1),(264,1),(346,1),(359,1)}
       307:{2,3,5,7}:{(248,1),(249,1),(254,1),(265,1),(347,1),(360,1),(363,1),(457,1)}
       308:{2,6,7}:{(249,1),(250,1)}
       309:{1,3,5,6,7}:{(250,1),(251,1),(258,1),(268,1),(364,1),(365,1),(460,1),(469,1),(523,1)}
       310:{2,4,6,7}:{(251,1),(260,1),(365,1),(366,1)}
       311:{2,4,5}:{(252,1),(270,1),(352,1),(367,1),(368,1)}
       312:{2,3,5,6}:{(252,1),(253,1),(255,1),(271,1),(353,1),(368,1),(369,1),(370,1)}
       313:{2,3,6,7}:{(253,1),(254,1),(256,1),(272,1),(354,1),(369,1),(460,1),(550,1)}
       314:{2,4,5,6}:{(255,1),(257,1),(368,1),(370,1),(371,1)}
       315:{2,5,7}:{(255,1),(256,1),(258,1)}
       316:{1,3,4,5,6}:{(257,1),(259,1),(277,1),(370,1),(372,1),(373,1),(381,1),(450,1),(465,1),(508,1)}
       317:{1,4,5,7}:{(257,1),(258,1),(260,1),(365,1),(371,1),(382,1),(451,1)}
       318:{3,4,5,7}:{(259,1),(260,1),(279,1),(366,1),(464,1),(522,1)}
       319:{1,3,4,6}:{(261,1),(264,1),(359,1),(374,1),(376,1),(458,1)}
       320:{1,3,4,7}:{(262,1),(265,1),(360,1),(382,1),(464,1)}
       321:{1,4,5,7}:{(263,1),(270,1),(361,1),(376,1),(382,1)}
       322:{1,3,5,6}:{(263,1),(264,1),(266,1),(362,1),(376,1),(514,1),(544,1)}
       323:{1,3,6,7}:{(264,1),(265,1),(267,1),(363,1),(460,1)}
       324:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(276,1),(364,1),(377,1),(457,1),(547,1)}
       325:{1,4,5,6,7}:{(268,1),(269,1),(278,1),(365,1),(378,1),(509,1)}
       326:{3,5,6,7}:{(269,1),(279,1),(366,1),(460,1),(522,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(367,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(368,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(369,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(370,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(371,1),(382,1),(386,1),(388,1),(467,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(460,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(303,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(304,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(296,1),(305,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(306,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(298,1),(307,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(299,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(300,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(308,1),(397,1)}
       352:{1,4,5}:{(296,1),(311,1),(403,1)}
       353:{1,3,5,6}:{(296,1),(297,1),(301,1),(312,1),(403,1),(404,1)}
       354:{1,3,6,7}:{(297,1),(298,1),(302,1),(313,1),(404,1),(543,1)}
       355:{2,3,4,6}:{(299,1),(398,1),(406,1),(407,1),(484,1),(488,1),(498,1),(541,1)}
       356:{1,3,5}:{(299,1),(300,1),(407,1)}
       357:{1,2,4,5,6}:{(300,1),(301,1),(314,1),(400,1),(403,1),(408,1),(409,1),(422,1),(477,1),(488,1),(502,1),(505,1),(530,1)}
       358:{1,2,5,7}:{(301,1),(302,1),(315,1),(404,1),(435,1),(478,1)}
       359:{2,4,6}:{(303,1),(306,1),(319,1),(393,1),(410,1)}
       360:{2,4,7}:{(304,1),(307,1),(320,1),(394,1)}
       361:{2,4,5,7}:{(305,1),(311,1),(321,1),(395,1),(412,1),(413,1),(419,1)}
       362:{2,3,5,6}:{(305,1),(306,1),(322,1),(396,1),(410,1),(413,1),(484,1),(493,1),(530,1)}
       363:{2,3,6,7}:{(306,1),(307,1),(308,1),(323,1),(397,1),(411,1)}
       364:{2,5,6,7}:{(308,1),(309,1),(315,1),(415,1),(540,1)}
       365:{1,4,6,7}:{(309,1),(310,1),(317,1),(415,1)}
       366:{3,4,6,7}:{(310,1),(318,1),(326,1)}
       367:{3,4,5}:{(311,1),(418,1)}
       368:{2,4,6}:{(311,1),(312,1),(328,1),(403,1),(418,1),(419,1)}
       369:{2,3,5,7}:{(312,1),(313,1),(315,1),(329,1),(404,1),(419,1),(421,1)}
       370:{3,5,6}:{(314,1),(418,1),(421,1)}
       371:{2,4,5,7}:{(314,1),(315,1),(317,1),(415,1),(419,1),(421,1)}
       372:{2,4,5,6}:{(316,1),(335,1),(420,1),(422,1),(423,1),(430,1),(488,1),(502,1),(530,1)}
       373:{1,3,4,5,7}:{(316,1),(317,1),(318,1),(336,1),(416,1),(421,1),(423,1),(431,1),(489,1),(503,1),(531,1)}
       374:{1,3,5,6}:{(319,1),(410,1),(424,1),(425,1),(493,1)}
       375:{1,3,4,6,7}:{(319,1),(320,1),(323,1),(411,1),(425,1),(426,1),(495,1)}
       376:{1,4,6}:{(321,1),(322,1),(413,1)}
       377:{1,3,5,6,7}:{(322,1),(323,1),(324,1),(329,1),(414,1),(425,1),(426,1),(535,1),(551,1)}
       378:{1,3,5,6,7}:{(325,1),(326,1),(336,1),(416,1),(427,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(418,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(419,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(421,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(540,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(359,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(360,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(441,1),(451,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(362,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(363,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(355,1),(444,1),(445,1),(519,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(356,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(358,1),(364,1),(442,1),(447,1),(469,1),(545,1)}
       402:{1,3,4,5}:{(352,1),(356,1),(367,1),(449,1),(450,1)}
       403:{1,4,6}:{(352,1),(353,1),(368,1),(451,1)}
       404:{1,3,5,7}:{(353,1),(354,1),(358,1),(369,1),(451,1)}
       405:{1,2,3,6}:{(443,1),(448,1),(452,1),(548,1)}
       406:{1,3,4,6}:{(355,1),(444,1),(452,1),(453,1),(514,1),(516,1),(518,1),(548,1)}
       407:{2,3,5}:{(355,1),(356,1),(449,1),(453,1)}
       408:{1,3,5,6}:{(356,1),(357,1),(370,1),(446,1),(450,1),(454,1),(455,1),(528,1)}
       409:{1,2,4,5,7}:{(357,1),(358,1),(371,1),(447,1),(451,1),(455,1),(467,1),(509,1),(519,1),(527,1),(529,1),(545,1)}
       410:{2,5,6}:{(359,1),(374,1),(438,1),(457,1)}
       411:{2,4,6,7}:{(359,1),(360,1),(363,1),(375,1),(439,1),(457,1)}
       412:{3,4,5,7}:{(361,1),(367,1),(458,1),(464,1),(522,1)}
       413:{2,4,6}:{(361,1),(362,1),(376,1),(441,1),(458,1)}
       414:{2,3,5,6,7}:{(362,1),(363,1),(364,1),(369,1),(377,1),(442,1),(457,1),(459,1),(460,1),(515,1),(522,1),(545,1)}
       415:{2,4,6,7}:{(364,1),(365,1),(371,1),(460,1)}
       416:{1,3,4,6,7}:{(365,1),(366,1),(373,1),(378,1),(460,1),(461,1),(523,1)}
       417:{2,3,4,5}:{(367,1),(380,1),(449,1),(462,1),(463,1),(524,1)}
       418:{3,4,6}:{(367,1),(368,1),(370,1),(464,1)}
       419:{2,4,7}:{(368,1),(369,1),(382,1),(451,1),(464,1)}
       420:{2,3,5,6}:{(370,1),(372,1),(463,1),(465,1),(466,1)}
       421:{3,5,7}:{(370,1),(371,1),(460,1),(464,1)}
       422:{1,4,5,6}:{(372,1),(387,1),(465,1),(467,1),(472,1),(518,1),(544,1)}
       423:{2,4,5,7}:{(372,1),(373,1),(388,1),(461,1),(466,1),(467,1),(473,1),(519,1),(527,1),(545,1)}
       424:{1,4,5,6}:{(374,1),(376,1),(456,1),(468,1),(544,1)}
       425:{1,3,5,7}:{(374,1),(375,1),(457,1),(468,1),(522,1)}
       426:{1,4,6,7}:{(376,1),(377,1),(382,1),(459,1),(468,1)}
       427:{2,5,6,7}:{(378,1),(388,1),(461,1),(469,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(464,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(410,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(411,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(402,1),(412,1),(479,1),(480,1),(489,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(413,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(404,1),(414,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(405,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(406,1),(482,1),(483,1),(538,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(407,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(409,1),(415,1),(481,1),(485,1),(497,1),(533,1),(540,1)}
       448:{1,2,3,5}:{(405,1),(486,1),(490,1),(536,1)}
       449:{2,4,5}:{(402,1),(407,1),(487,1),(488,1)}
       450:{1,3,4,6}:{(402,1),(403,1),(408,1),(418,1),(488,1),(489,1)}
       451:{1,4,7}:{(403,1),(404,1),(419,1)}
       452:{1,2,4,6}:{(405,1),(406,1),(482,1),(486,1),(490,1),(534,1)}
       453:{1,3,5}:{(406,1),(407,1),(487,1),(490,1)}
       454:{2,3,5,6}:{(407,1),(408,1),(484,1),(488,1),(491,1),(492,1),(502,1),(530,1),(541,1)}
       455:{1,3,5,7}:{(408,1),(409,1),(421,1),(485,1),(489,1),(492,1),(543,1)}
       456:{2,4,5,6}:{(410,1),(413,1),(424,1),(477,1),(493,1),(494,1),(530,1)}
       457:{2,5,7}:{(410,1),(411,1),(425,1),(478,1)}
       458:{3,4,6}:{(412,1),(413,1),(493,1)}
       459:{2,4,6,7}:{(413,1),(414,1),(419,1),(426,1),(481,1),(494,1),(495,1)}
       460:{3,6,7}:{(415,1),(421,1)}
       461:{2,4,6,7}:{(416,1),(423,1),(427,1),(496,1),(497,1),(540,1)}
       462:{1,3,4,5}:{(417,1),(429,1),(487,1),(499,1),(500,1),(504,1),(536,1)}
       463:{2,3,4,6}:{(417,1),(418,1),(420,1),(430,1),(488,1),(500,1),(501,1),(541,1)}
       464:{3,4,7}:{(418,1),(419,1),(421,1)}
       465:{1,3,5,6}:{(420,1),(422,1),(500,1),(502,1),(503,1)}
       466:{2,3,5,7}:{(420,1),(421,1),(423,1),(496,1),(501,1),(503,1)}
       467:{1,4,5,7}:{(422,1),(423,1),(435,1),(497,1),(503,1),(506,1),(538,1),(551,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(426,1),(494,1),(551,1)}
       469:{1,5,6,7}:{(427,1),(435,1),(497,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(540,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(456,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(457,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(449,1),(510,1),(511,1),(519,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(458,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(452,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(453,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(455,1),(460,1),(515,1)}
       486:{1,2,4}:{(448,1),(516,1)}
       487:{1,4,5}:{(449,1),(453,1),(518,1)}
       488:{2,4,6}:{(449,1),(450,1),(454,1),(518,1),(519,1)}
       489:{1,3,4,7}:{(450,1),(451,1),(455,1),(464,1),(519,1)}
       490:{1,2,5}:{(452,1),(453,1)}
       491:{1,3,5,6}:{(453,1),(454,1),(514,1),(518,1),(520,1),(521,1),(544,1),(548,1)}
       492:{2,3,5,7}:{(454,1),(455,1),(515,1),(519,1),(521,1),(527,1),(545,1),(550,1)}
       493:{3,5,6}:{(456,1),(458,1),(522,1)}
       494:{2,4,5,7}:{(456,1),(457,1),(459,1),(468,1),(509,1),(522,1),(545,1)}
       495:{3,4,6,7}:{(458,1),(459,1),(460,1),(464,1),(522,1)}
       496:{2,3,6,7}:{(460,1),(461,1),(466,1),(523,1)}
       497:{1,4,6,7}:{(461,1),(467,1),(469,1),(523,1)}
       498:{2,3,4}:{(470,1),(516,1),(524,1)}
       499:{2,4,5}:{(462,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(462,1),(463,1),(465,1),(472,1),(518,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(463,1),(464,1),(466,1),(473,1),(519,1),(526,1),(550,1)}
       502:{2,5,6}:{(465,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(465,1),(466,1),(467,1),(523,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(493,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(494,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(487,1),(532,1),(538,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(489,1),(495,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(490,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(492,1),(533,1),(535,1),(540,1)}
       516:{1,3,4}:{(486,1),(498,1),(536,1)}
       517:{1,2,4,5}:{(486,1),(487,1),(490,1),(499,1),(536,1),(537,1)}
       518:{1,4,6}:{(487,1),(488,1),(491,1),(538,1)}
       519:{2,4,7}:{(488,1),(489,1),(492,1),(538,1)}
       520:{1,2,5,6}:{(490,1),(491,1),(502,1),(534,1),(537,1),(539,1)}
       521:{1,3,5,7}:{(491,1),(492,1),(535,1),(538,1),(539,1),(551,1),(552,1)}
       522:{3,5,7}:{(493,1),(494,1),(495,1)}
       523:{1,3,6,7}:{(496,1),(497,1),(503,1),(540,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(536,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(538,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(540,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(522,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(519,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(521,1),(546,1),(547,1)}
       536:{1,3,5}:{(516,1),(517,1),(524,1),(548,1)}
       537:{1,2,4,6}:{(517,1),(518,1),(520,1),(525,1),(548,1),(549,1)}
       538:{1,4,7}:{(518,1),(519,1),(521,1)}
       539:{1,2,5,7}:{(520,1),(521,1),(527,1),(547,1),(549,1)}
       540:{2,6,7}:{(523,1),(527,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(538,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(539,1),(540,1)}
       548:{1,3,6}:{(536,1),(537,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(537,1),(538,1),(539,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

2084 :   0:{1,2,3,6,7}:{(2,1),(3,1),(50,1),(111,1),(173,1),(276,1),(360,1),(369,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(50,1),(54,1),(174,1),(256,1),(265,1),(276,1),(368,1),(383,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(130,1),(146,1),(222,1),(331,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(31,1),(81,1),(309,1),(319,1),(415,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(75,1),(225,1),(416,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(114,1),(170,1),(200,1),(300,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(50,1),(94,1),(171,1),(261,1),(369,1),(370,1),(456,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(191,1),(383,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(108,1),(456,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(48,1),(383,1),(457,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(50,1),(265,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(62,1),(80,1),(153,1),(208,1),(252,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(63,1),(217,1),(351,1),(486,1),(496,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(32,1),(64,1),(66,1),(78,1),(128,1),(134,1),(146,1),(208,1),(343,1),(344,1),(437,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(314,1),(418,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(30,1),(145,1),(222,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(30,1),(31,1),(73,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(31,1),(32,1),(319,1)}
        18:{1,2,4,5,6}:{(9,1),(30,1),(33,1),(34,1),(70,1),(75,1),(143,1),(145,1),(211,1),(229,1),(315,1),(340,1),(416,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(32,1),(35,1),(36,1),(75,1),(78,1),(238,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(52,1),(86,1),(92,1),(112,1),(193,1),(300,1),(301,1),(400,1)}
        22:{1,2,3,5,6}:{(12,1),(38,1),(39,1),(89,1),(92,1),(167,1),(200,1),(299,1),(305,1),(451,1),(460,1),(462,1)}
        23:{1,2,5,7}:{(11,1),(37,1),(39,1),(259,1),(305,1)}
        24:{1,2,4,7}:{(12,1),(38,1),(41,1),(269,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(179,1),(191,1),(259,1),(395,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(50,1),(171,1),(260,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(456,1),(457,1)}
        28:{1,3,4,5}:{(19,1),(47,1),(48,1),(457,1),(475,1)}
        29:{1,2,5,6,7}:{(15,1),(44,1),(49,1),(191,1),(275,1),(294,1),(367,1),(386,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(45,1),(50,1),(106,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(19,1),(50,1),(51,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(51,1),(52,1),(108,1),(292,1)}
        33:{1,2,4,5,7}:{(18,1),(49,1),(53,1),(103,1),(108,1),(189,1),(191,1),(264,1),(283,1),(367,1),(390,1),(456,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(47,1),(50,1),(53,1),(54,1),(265,1),(391,1)}
        35:{2,3,5}:{(19,1),(20,1),(48,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(52,1),(55,1),(56,1),(109,1),(112,1),(197,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(57,1),(58,1),(244,1),(354,1)}
        38:{1,2,4,6}:{(22,1),(24,1),(59,1),(60,1),(215,1),(352,1),(495,1)}
        39:{1,2,5,6}:{(23,1),(57,1),(62,1),(153,1),(207,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(58,1),(59,1),(62,1),(63,1),(121,1)}
        41:{1,3,4,7}:{(24,1),(60,1),(63,1),(64,1),(496,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(78,1),(128,1),(133,1),(145,1),(207,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(437,1),(438,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(71,1),(77,1),(144,1),(221,1),(314,1),(415,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(31,1),(67,1),(72,1),(73,1),(74,1),(144,1)}
        47:{1,3,4,6}:{(28,1),(34,1),(74,1),(75,1),(416,1),(436,1)}
        48:{2,4,5}:{(28,1),(35,1),(75,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(71,1),(77,1),(146,1),(241,1),(336,1),(431,1)}
        50:{1,3,6}:{(30,1),(31,1),(78,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(78,1),(79,1)}
        52:{1,3,4,7}:{(32,1),(36,1),(79,1),(80,1),(149,1),(249,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(74,1),(77,1),(81,1),(319,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(75,1),(78,1),(81,1),(82,1),(145,1),(229,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(76,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(80,1),(83,1),(84,1),(153,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(39,1),(42,1),(86,1),(92,1),(112,1),(192,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(401,1)}
        59:{1,2,4,5}:{(38,1),(89,1),(165,1),(305,1),(401,1)}
        60:{1,3,4,6}:{(38,1),(41,1),(89,1),(90,1),(92,1),(462,1),(463,1)}
        61:{1,2,5,6,7}:{(39,1),(85,1),(91,1),(199,1),(259,1),(298,1),(359,1),(386,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(86,1),(92,1),(161,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(89,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(90,1),(93,1),(94,1),(269,1),(464,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(96,1),(111,1),(170,1),(179,1),(191,1),(259,1),(386,1),(392,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(86,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(179,1),(474,1),(475,1)}
        68:{2,3,4,5}:{(48,1),(99,1),(100,1),(186,1),(389,1),(475,1)}
        69:{1,3,4,5,6}:{(47,1),(101,1),(102,1),(104,1),(177,1),(178,1),(286,1),(297,1),(391,1),(479,1)}
        70:{1,4,5,6}:{(45,1),(95,1),(103,1),(104,1),(260,1)}
        71:{1,4,6,7}:{(44,1),(45,1),(96,1),(103,1),(456,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(50,1),(97,1),(104,1),(106,1)}
        73:{2,4,5,7}:{(46,1),(48,1),(51,1),(106,1),(107,1),(108,1),(191,1)}
        74:{1,3,4,7}:{(47,1),(53,1),(108,1),(456,1),(474,1)}
        75:{2,4,6}:{(47,1),(48,1),(54,1),(108,1),(109,1)}
        76:{1,4,5}:{(48,1),(55,1),(109,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(53,1),(111,1),(470,1)}
        78:{2,3,6}:{(50,1),(51,1),(106,1),(112,1)}
        79:{1,3,5,7}:{(51,1),(52,1),(55,1),(107,1),(112,1),(113,1)}
        80:{1,2,4,7}:{(52,1),(56,1),(113,1),(114,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(108,1),(111,1),(115,1),(191,1),(283,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(109,1),(112,1),(115,1),(116,1),(192,1),(197,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(114,1),(117,1),(197,1)}
        85:{1,3,5,6,7}:{(57,1),(61,1),(65,1),(119,1),(127,1),(152,1),(206,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(63,1),(67,1),(120,1),(121,1),(122,1),(206,1),(214,1)}
        88:{1,2,4,5,6}:{(59,1),(62,1),(118,1),(123,1),(124,1),(207,1),(215,1),(245,1),(313,1),(340,1),(352,1),(412,1),(420,1)}
        89:{1,3,5}:{(59,1),(60,1),(125,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(125,1),(126,1),(128,1),(215,1),(423,1),(424,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(123,1),(127,1),(208,1),(406,1),(431,1),(481,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(125,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(324,1),(425,1)}
        95:{2,4,5,6}:{(66,1),(70,1),(118,1),(132,1),(133,1),(145,1),(207,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(71,1),(119,1),(132,1),(134,1),(437,1)}
        97:{3,4,6}:{(66,1),(67,1),(133,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(73,1),(121,1),(135,1),(136,1),(137,1),(213,1),(232,1),(236,1),(321,1),(434,1),(437,1),(438,1),(505,1),(534,1)}
        99:{2,3,4,6}:{(68,1),(75,1),(131,1),(137,1),(138,1),(238,1),(338,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(138,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(74,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(75,1),(131,1),(142,1),(143,1),(145,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(71,1),(132,1),(144,1),(314,1)}
       104:{1,3,5,6}:{(70,1),(72,1),(133,1),(144,1),(145,1)}
       105:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(77,1),(134,1),(144,1),(146,1)}
       106:{2,4,6}:{(72,1),(73,1),(78,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(73,1),(76,1),(79,1),(147,1),(149,1),(244,1)}
       108:{2,4,7}:{(74,1),(75,1),(81,1),(149,1)}
       109:{1,4,6}:{(75,1),(76,1),(82,1),(149,1)}
       110:{1,2,4,5}:{(76,1),(83,1),(139,1),(150,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(81,1),(146,1),(152,1),(336,1)}
       112:{1,3,6}:{(78,1),(79,1),(147,1),(153,1)}
       113:{1,2,5,7}:{(79,1),(80,1),(83,1),(153,1)}
       114:{1,2,3,7}:{(80,1),(84,1),(249,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(149,1),(152,1),(155,1),(244,1),(249,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(150,1),(153,1),(155,1),(229,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(151,1),(157,1)}
       118:{1,4,5,6}:{(86,1),(95,1),(158,1),(159,1),(192,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(96,1),(158,1),(400,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(92,1),(97,1),(159,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(93,1),(161,1),(162,1),(165,1),(259,1),(269,1)}
       122:{1,3,4,5}:{(89,1),(164,1),(165,1),(401,1),(475,1)}
       123:{1,2,4,5,7}:{(88,1),(91,1),(158,1),(166,1),(259,1),(269,1),(298,1),(365,1),(390,1),(400,1),(452,1),(461,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(92,1),(164,1),(166,1),(167,1),(391,1),(462,1)}
       125:{2,3,5}:{(89,1),(90,1),(165,1),(168,1)}
       126:{1,3,4,6}:{(90,1),(94,1),(168,1),(169,1),(171,1),(270,1),(378,1),(379,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(166,1),(170,1),(470,1)}
       128:{2,3,6}:{(92,1),(93,1),(161,1),(171,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(171,1),(172,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(172,1),(173,1)}
       131:{2,3,5,6}:{(99,1),(102,1),(176,1),(177,1),(391,1)}
       132:{2,4,5,7}:{(95,1),(96,1),(103,1),(158,1),(179,1),(191,1),(259,1)}
       133:{3,5,6}:{(95,1),(97,1),(179,1)}
       134:{3,4,6,7}:{(96,1),(97,1),(179,1),(470,1),(474,1)}
       135:{2,3,4,6}:{(97,1),(98,1),(106,1),(161,1),(180,1),(182,1),(290,1),(393,1),(473,1),(527,1),(545,1)}
       136:{1,3,4,5,7}:{(98,1),(100,1),(107,1),(162,1),(182,1),(183,1),(184,1),(195,1),(263,1),(268,1),(287,1),(374,1),(400,1),(401,1),(450,1),(456,1),(457,1),(474,1),(475,1),(544,1)}
       137:{2,3,4,7}:{(99,1),(108,1),(176,1),(184,1),(292,1),(388,1),(474,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(109,1),(177,1),(184,1),(185,1),(197,1),(265,1),(362,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(108,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(109,1),(177,1),(189,1),(192,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(105,1),(179,1),(191,1)}
       145:{2,5,6}:{(104,1),(106,1),(191,1),(192,1)}
       146:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(191,1),(193,1)}
       147:{1,4,6}:{(106,1),(107,1),(112,1),(192,1)}
       148:{1,2,4,5,7}:{(107,1),(110,1),(113,1),(183,1),(194,1),(195,1),(196,1),(201,1),(298,1),(305,1),(373,1),(400,1),(401,1),(461,1),(544,1),(546,1)}
       149:{1,4,7}:{(108,1),(109,1),(115,1)}
       150:{1,2,4,6}:{(109,1),(110,1),(116,1),(185,1),(196,1),(197,1)}
       151:{1,3,5}:{(110,1),(186,1),(197,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(115,1),(193,1),(199,1)}
       153:{1,2,6}:{(112,1),(113,1)}
       154:{1,2,3,5,7}:{(113,1),(114,1),(117,1),(195,1),(200,1),(201,1),(305,1),(460,1),(519,1),(546,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(196,1),(199,1),(283,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(197,1),(200,1),(202,1),(203,1),(284,1),(299,1),(303,1),(305,1),(403,1),(404,1)}
       157:{1,2,4}:{(117,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(206,1),(244,1)}
       159:{1,3,5,6}:{(118,1),(120,1),(133,1),(206,1),(207,1)}
       160:{1,3,4,6,7}:{(119,1),(120,1),(127,1),(134,1),(206,1),(208,1),(214,1)}
       161:{2,4,6}:{(120,1),(121,1),(128,1),(207,1),(209,1)}
       162:{1,4,5,7}:{(121,1),(129,1),(209,1),(216,1),(314,1),(324,1)}
       163:{1,2,4,5}:{(139,1),(211,1),(212,1),(225,1),(333,1),(410,1)}
       164:{1,3,4,6}:{(122,1),(124,1),(214,1),(215,1),(352,1),(436,1)}
       165:{2,4,5}:{(122,1),(125,1),(215,1),(216,1)}
       166:{1,3,5,7}:{(123,1),(124,1),(127,1),(214,1),(217,1),(435,1),(496,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(207,1),(215,1),(217,1),(218,1),(412,1),(423,1)}
       168:{1,3,5}:{(125,1),(126,1),(216,1),(219,1)}
       169:{1,2,4,6}:{(126,1),(130,1),(219,1),(220,1),(222,1),(329,1)}
       170:{2,3,6,7}:{(127,1),(128,1),(208,1),(217,1),(221,1),(481,1)}
       171:{1,3,6}:{(128,1),(129,1),(209,1),(222,1)}
       172:{1,2,5,7}:{(129,1),(130,1),(219,1),(222,1)}
       173:{1,2,3,7}:{(130,1),(220,1),(425,1)}
       174:{1,2,3,5}:{(212,1),(224,1),(225,1),(333,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(137,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(138,1),(143,1),(228,1),(229,1)}
       178:{3,4,5,6}:{(133,1),(230,1),(231,1),(436,1),(540,1)}
       179:{3,5,7}:{(132,1),(133,1),(134,1)}
       180:{2,3,5,6}:{(133,1),(135,1),(145,1),(207,1),(231,1),(232,1),(233,1),(504,1),(540,1),(549,1)}
       181:{2,3,4,6,7}:{(134,1),(135,1),(137,1),(146,1),(208,1),(227,1),(232,1),(234,1),(321,1),(334,1),(343,1),(405,1),(433,1),(437,1),(502,1),(529,1)}
       182:{1,3,4,6}:{(135,1),(136,1),(147,1),(209,1),(233,1),(235,1),(247,1),(317,1),(352,1),(416,1),(436,1),(485,1),(550,1)}
       183:{2,4,5,7}:{(136,1),(139,1),(235,1),(236,1),(237,1),(323,1),(341,1),(422,1),(437,1),(438,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(149,1),(228,1),(237,1),(249,1),(319,1),(409,1)}
       185:{2,4,6}:{(138,1),(139,1),(229,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(149,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(150,1),(229,1),(242,1),(243,1),(245,1),(254,1),(338,1),(340,1),(352,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(146,1),(244,1)}
       192:{1,5,6}:{(145,1),(147,1),(244,1)}
       193:{1,4,6,7}:{(146,1),(147,1),(149,1),(152,1),(244,1)}
       194:{1,2,4,6}:{(147,1),(148,1),(153,1),(235,1),(245,1),(247,1),(352,1),(550,1),(551,1)}
       195:{1,3,5,7}:{(148,1),(151,1),(236,1),(247,1),(248,1),(249,1),(354,1),(421,1),(496,1)}
       196:{1,2,4,7}:{(149,1),(150,1),(155,1),(237,1),(249,1)}
       197:{1,3,6}:{(150,1),(151,1),(238,1),(249,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,6}:{(153,1),(154,1),(247,1),(252,1),(551,1)}
       201:{1,2,4,7}:{(154,1),(157,1),(248,1),(252,1),(495,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(249,1),(251,1),(253,1),(337,1),(351,1),(355,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(250,1),(253,1),(254,1),(338,1),(352,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,4,5,6}:{(159,1),(164,1),(178,1),(257,1),(258,1),(286,1),(364,1),(391,1),(455,1),(543,1)}
       206:{1,3,5,7}:{(158,1),(159,1),(160,1),(179,1),(259,1)}
       207:{2,5,6}:{(159,1),(161,1),(259,1),(260,1)}
       208:{2,4,6,7}:{(160,1),(161,1),(170,1),(259,1),(261,1),(269,1)}
       209:{1,4,6}:{(161,1),(162,1),(171,1),(260,1)}
       210:{1,2,4,5,7}:{(162,1),(163,1),(172,1),(183,1),(262,1),(263,1),(264,1),(271,1),(277,1),(367,1),(377,1),(383,1),(384,1),(450,1),(456,1),(457,1)}
       211:{1,2,4,6}:{(163,1),(185,1),(256,1),(264,1),(265,1),(362,1)}
       212:{1,3,5}:{(163,1),(186,1),(265,1),(266,1)}
       213:{2,3,4,5}:{(165,1),(267,1),(268,1),(376,1),(475,1),(516,1)}
       214:{1,3,4,7}:{(164,1),(166,1),(269,1),(400,1),(474,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(269,1),(270,1)}
       216:{1,4,5}:{(165,1),(168,1),(270,1)}
       217:{2,3,5,7}:{(166,1),(167,1),(170,1),(259,1),(269,1),(272,1),(452,1),(464,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(171,1),(260,1),(270,1),(272,1),(273,1),(378,1)}
       219:{1,2,5}:{(168,1),(169,1)}
       220:{1,2,3,6}:{(169,1),(173,1),(274,1),(378,1)}
       221:{1,3,6,7}:{(170,1),(171,1),(261,1),(272,1),(275,1)}
       222:{1,2,6}:{(171,1),(172,1)}
       223:{1,2,3,5,7}:{(172,1),(173,1),(174,1),(263,1),(274,1),(276,1),(277,1),(278,1),(383,1),(384,1)}
       224:{1,2,3,6}:{(174,1),(265,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(266,1)}
       226:{3,5,6,7}:{(175,1),(179,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(184,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(185,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(179,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,4,5,6}:{(178,1),(180,1),(285,1),(286,1),(393,1)}
       232:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(259,1),(285,1),(287,1),(472,1),(525,1),(542,1)}
       233:{1,3,5,6}:{(180,1),(182,1),(192,1),(260,1),(286,1),(287,1),(288,1),(391,1),(512,1),(552,1)}
       234:{1,3,4,6,7}:{(181,1),(182,1),(184,1),(193,1),(261,1),(282,1),(287,1),(289,1),(300,1),(369,1),(374,1),(385,1),(400,1),(446,1),(449,1),(456,1),(470,1),(474,1),(541,1)}
       235:{2,4,6}:{(182,1),(183,1),(288,1),(290,1)}
       236:{2,3,5,7}:{(183,1),(186,1),(195,1),(263,1),(290,1),(291,1),(292,1),(376,1),(395,1),(464,1)}
       237:{2,4,7}:{(184,1),(185,1),(283,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(197,1),(265,1),(292,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(196,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(197,1),(284,1),(296,1),(297,1),(303,1),(391,1),(403,1)}
       244:{1,5,7}:{(191,1),(192,1),(193,1)}
       245:{1,2,5,6}:{(192,1),(194,1),(288,1),(298,1),(299,1),(305,1),(552,1)}
       246:{1,2,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(289,1),(298,1),(300,1),(400,1),(461,1),(508,1),(541,1)}
       247:{1,3,6}:{(194,1),(195,1),(290,1)}
       248:{1,3,4,7}:{(195,1),(198,1),(201,1),(291,1),(301,1),(400,1),(463,1)}
       249:{1,3,7}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(203,1),(293,1),(302,1),(303,1),(403,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(300,1),(304,1),(387,1),(403,1),(519,1)}
       252:{1,2,4,6}:{(200,1),(201,1),(301,1),(305,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(302,1),(388,1),(400,1)}
       254:{1,2,4,5}:{(203,1),(303,1),(305,1),(389,1),(401,1)}
       255:{1,3,5,6,7}:{(204,1),(206,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(211,1),(229,1),(309,1),(310,1),(333,1),(430,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(230,1),(307,1),(312,1),(339,1),(411,1),(435,1),(490,1),(530,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(311,1),(312,1),(313,1),(412,1),(489,1),(549,1)}
       259:{2,5,7}:{(206,1),(207,1),(208,1),(314,1)}
       260:{1,5,6}:{(207,1),(209,1),(314,1)}
       261:{1,4,6,7}:{(208,1),(209,1),(221,1),(314,1),(324,1)}
       262:{1,2,4,6}:{(209,1),(210,1),(222,1),(235,1),(315,1),(317,1),(416,1),(430,1),(485,1)}
       263:{1,3,5,7}:{(210,1),(212,1),(236,1),(317,1),(318,1),(319,1),(326,1),(418,1),(425,1)}
       264:{1,2,4,7}:{(211,1),(237,1),(309,1),(319,1),(409,1)}
       265:{1,3,6}:{(211,1),(212,1),(238,1),(319,1)}
       266:{1,3,4}:{(212,1),(225,1),(239,1)}
       267:{2,3,4,6}:{(213,1),(215,1),(311,1),(321,1),(322,1),(423,1),(436,1),(489,1)}
       268:{1,3,4,5}:{(213,1),(216,1),(322,1),(323,1),(326,1),(421,1),(533,1)}
       269:{2,4,7}:{(214,1),(215,1),(217,1),(324,1)}
       270:{1,4,6}:{(215,1),(216,1),(218,1),(324,1)}
       271:{1,2,4,5}:{(216,1),(219,1),(323,1),(325,1),(326,1),(329,1)}
       272:{1,3,5,7}:{(217,1),(218,1),(221,1),(314,1),(324,1),(327,1),(425,1)}
       273:{1,2,5,6}:{(218,1),(219,1),(222,1),(325,1),(327,1),(412,1)}
       274:{1,2,3,5}:{(219,1),(220,1),(326,1),(329,1)}
       275:{1,2,6,7}:{(221,1),(222,1),(327,1),(481,1)}
       276:{1,2,3,6}:{(222,1),(223,1),(317,1),(331,1),(430,1)}
       277:{1,2,4,7}:{(223,1),(225,1),(318,1),(329,1),(331,1)}
       278:{1,2,3,7}:{(224,1),(319,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(320,1),(332,1),(333,1),(430,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(232,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(237,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(238,1),(243,1),(310,1),(337,1),(338,1),(346,1),(440,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(232,1),(334,1),(339,1),(437,1)}
       286:{1,4,5,6}:{(231,1),(233,1),(339,1),(340,1),(352,1),(416,1)}
       287:{1,3,5,7}:{(232,1),(233,1),(234,1),(244,1),(314,1),(339,1),(341,1),(435,1),(484,1),(548,1)}
       288:{2,5,6}:{(233,1),(235,1),(341,1)}
       289:{2,4,6,7}:{(234,1),(235,1),(237,1),(336,1),(341,1),(343,1),(422,1),(437,1),(481,1)}
       290:{2,3,6}:{(235,1),(236,1),(247,1),(317,1)}
       291:{2,3,4,7}:{(236,1),(239,1),(248,1),(318,1),(344,1),(424,1),(437,1)}
       292:{2,3,7}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(250,1),(320,1),(338,1),(345,1),(346,1),(440,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(249,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(352,1),(436,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(246,1),(341,1),(351,1),(548,1)}
       299:{1,3,5,6}:{(245,1),(247,1),(342,1),(351,1),(352,1),(354,1)}
       300:{1,3,6,7}:{(246,1),(247,1),(249,1),(343,1),(351,1),(496,1)}
       301:{1,3,4,6}:{(247,1),(248,1),(252,1),(344,1),(352,1),(354,1)}
       302:{1,3,4,7}:{(249,1),(250,1),(253,1),(345,1),(355,1)}
       303:{1,3,5}:{(250,1),(254,1),(346,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(253,1),(353,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,5}:{(252,1),(354,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(355,1),(356,1),(357,1),(434,1),(444,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(259,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(264,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(265,1),(284,1),(361,1),(362,1),(372,1),(459,1),(512,1)}
       311:{2,3,5,6}:{(258,1),(267,1),(363,1),(364,1),(391,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(269,1),(358,1),(363,1),(365,1),(452,1),(515,1),(542,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(270,1),(364,1),(365,1),(514,1),(552,1)}
       314:{1,5,7}:{(259,1),(260,1),(261,1)}
       315:{1,2,5,6}:{(260,1),(262,1),(288,1),(367,1),(368,1),(383,1),(512,1)}
       316:{1,2,4,6,7}:{(261,1),(262,1),(264,1),(275,1),(289,1),(360,1),(367,1),(369,1),(377,1),(449,1),(456,1)}
       317:{1,3,6}:{(262,1),(263,1),(290,1)}
       318:{1,3,4,7}:{(263,1),(266,1),(277,1),(291,1),(370,1),(379,1),(456,1)}
       319:{1,3,7}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,6}:{(265,1),(266,1),(279,1),(293,1),(362,1),(371,1),(372,1),(459,1)}
       321:{2,3,4,7}:{(267,1),(269,1),(363,1),(374,1),(464,1),(474,1),(515,1)}
       322:{1,3,4,6}:{(267,1),(268,1),(270,1),(364,1),(374,1),(375,1),(378,1),(462,1),(514,1)}
       323:{2,4,5}:{(268,1),(375,1),(376,1)}
       324:{1,4,7}:{(269,1),(270,1),(272,1)}
       325:{1,2,4,6}:{(270,1),(271,1),(273,1),(375,1),(377,1),(378,1)}
       326:{1,3,5}:{(271,1),(376,1),(378,1),(379,1)}
       327:{1,2,5,7}:{(272,1),(273,1),(275,1),(377,1),(452,1)}
       328:{1,2,3,5,6}:{(273,1),(274,1),(276,1),(368,1),(378,1),(380,1),(381,1),(383,1),(453,1),(467,1),(469,1),(524,1)}
       329:{1,2,4}:{(274,1),(379,1)}
       330:{1,2,3,6,7}:{(275,1),(276,1),(278,1),(369,1),(380,1),(382,1),(509,1),(524,1)}
       331:{1,2,4,6}:{(276,1),(277,1),(370,1),(383,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(371,1),(384,1)}
       333:{1,2,5}:{(279,1),(372,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(287,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(292,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(287,1),(385,1),(390,1),(400,1),(456,1)}
       340:{2,4,5,6}:{(286,1),(288,1),(390,1),(391,1),(393,1)}
       341:{2,5,7}:{(287,1),(288,1),(289,1)}
       342:{2,3,5,6}:{(288,1),(290,1),(299,1),(368,1),(391,1),(392,1),(393,1),(395,1)}
       343:{2,3,6,7}:{(289,1),(290,1),(292,1),(300,1),(369,1),(392,1),(464,1),(470,1)}
       344:{2,3,4,6}:{(290,1),(291,1),(301,1),(370,1),(393,1),(395,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(302,1),(371,1),(388,1),(396,1)}
       346:{2,3,5}:{(293,1),(303,1),(372,1),(389,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(403,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(303,1),(389,1),(401,1),(475,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(300,1),(392,1),(400,1)}
       352:{1,4,6}:{(299,1),(393,1),(400,1),(401,1)}
       353:{1,3,4,6,7}:{(300,1),(301,1),(302,1),(304,1),(394,1),(400,1),(402,1),(403,1),(480,1),(521,1),(541,1),(547,1)}
       354:{1,3,5}:{(301,1),(305,1),(395,1),(401,1)}
       355:{1,3,5,7}:{(302,1),(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(305,1),(402,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(306,1),(403,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(312,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(314,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(430,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(319,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(312,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,3,5,6}:{(311,1),(313,1),(322,1),(411,1),(412,1)}
       365:{1,4,5,7}:{(312,1),(313,1),(314,1),(324,1),(406,1),(411,1),(532,1),(548,1)}
       366:{1,2,4,5,6}:{(313,1),(315,1),(325,1),(340,1),(412,1),(413,1),(414,1),(416,1),(428,1),(489,1),(501,1),(531,1),(549,1)}
       367:{1,2,5,7}:{(314,1),(315,1),(316,1),(341,1),(415,1),(484,1)}
       368:{1,3,5,6}:{(315,1),(317,1),(342,1),(415,1),(416,1),(418,1)}
       369:{1,3,6,7}:{(316,1),(317,1),(319,1),(343,1),(415,1),(425,1)}
       370:{1,3,4,6}:{(317,1),(318,1),(331,1),(344,1),(416,1),(418,1)}
       371:{1,3,4,7}:{(319,1),(320,1),(332,1),(345,1),(409,1),(419,1)}
       372:{1,3,5}:{(320,1),(333,1),(346,1),(410,1)}
       373:{1,2,4,5}:{(323,1),(420,1),(421,1),(495,1),(533,1),(537,1)}
       374:{1,3,4,7}:{(321,1),(322,1),(324,1),(411,1),(422,1),(425,1),(496,1),(532,1)}
       375:{2,4,6}:{(322,1),(323,1),(412,1),(422,1),(423,1)}
       376:{2,3,5}:{(323,1),(326,1),(421,1),(423,1),(424,1)}
       377:{1,2,4,7}:{(324,1),(325,1),(327,1),(422,1),(425,1)}
       378:{1,3,6}:{(325,1),(326,1),(423,1),(425,1)}
       379:{1,3,4}:{(326,1),(329,1),(424,1)}
       380:{1,2,3,5,7}:{(327,1),(328,1),(330,1),(415,1),(425,1),(427,1),(429,1),(488,1),(500,1)}
       381:{1,2,4,6}:{(328,1),(329,1),(416,1),(426,1),(427,1),(428,1),(489,1)}
       382:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(417,1),(427,1),(429,1),(430,1),(501,1),(529,1)}
       383:{1,2,5}:{(331,1),(418,1)}
       384:{1,2,5,7}:{(332,1),(333,1),(419,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(341,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(440,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(346,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(341,1),(431,1),(435,1),(437,1)}
       391:{3,5,6}:{(340,1),(435,1),(436,1)}
       392:{2,3,5,7}:{(341,1),(342,1),(343,1),(351,1),(415,1),(435,1),(437,1)}
       393:{2,4,6}:{(342,1),(352,1),(416,1),(436,1),(437,1),(438,1)}
       394:{2,3,4,6,7}:{(343,1),(344,1),(345,1),(353,1),(417,1),(433,1),(437,1),(439,1),(440,1),(498,1),(502,1),(506,1),(529,1),(539,1)}
       395:{2,3,5}:{(344,1),(354,1),(418,1),(438,1)}
       396:{2,3,5,7}:{(345,1),(346,1),(355,1),(419,1),(434,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(355,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(352,1),(437,1)}
       401:{1,4,5}:{(352,1),(354,1),(438,1)}
       402:{1,3,5,7}:{(353,1),(354,1),(356,1),(439,1),(444,1),(445,1),(548,1)}
       403:{1,3,6}:{(355,1),(357,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(365,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(367,1),(386,1),(447,1),(448,1),(469,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(459,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(372,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(365,1),(374,1),(446,1),(452,1)}
       412:{2,5,6}:{(364,1),(375,1),(452,1)}
       413:{1,2,4,5,7}:{(365,1),(366,1),(367,1),(377,1),(390,1),(447,1),(452,1),(454,1),(456,1),(511,1),(515,1),(542,1)}
       414:{1,3,5,6}:{(366,1),(378,1),(391,1),(453,1),(454,1),(455,1),(467,1),(524,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(369,1),(392,1),(456,1)}
       416:{1,4,6}:{(368,1),(393,1),(456,1),(457,1)}
       417:{1,3,4,6,7}:{(369,1),(370,1),(371,1),(382,1),(394,1),(449,1),(456,1),(458,1),(459,1),(466,1),(518,1),(524,1)}
       418:{1,3,5}:{(370,1),(383,1),(395,1),(457,1)}
       419:{1,3,5,7}:{(371,1),(372,1),(384,1),(396,1),(450,1),(459,1)}
       420:{1,2,4,6}:{(373,1),(375,1),(451,1),(461,1),(462,1),(514,1)}
       421:{1,3,5}:{(373,1),(376,1),(462,1),(463,1)}
       422:{2,4,7}:{(374,1),(375,1),(452,1),(464,1)}
       423:{2,3,6}:{(375,1),(376,1),(378,1),(462,1),(464,1)}
       424:{2,3,4}:{(376,1),(379,1),(463,1)}
       425:{1,3,7}:{(377,1),(378,1),(464,1)}
       426:{1,3,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1),(467,1),(524,1)}
       427:{1,2,4,7}:{(380,1),(381,1),(456,1),(466,1),(515,1)}
       428:{1,2,4,5}:{(381,1),(383,1),(457,1),(467,1),(516,1)}
       429:{1,2,5,7}:{(382,1),(383,1),(458,1),(469,1),(542,1)}
       430:{1,2,6}:{(384,1),(459,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(392,1),(397,1),(448,1),(470,1),(471,1),(472,1),(477,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(396,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(391,1),(470,1),(474,1)}
       436:{3,4,6}:{(391,1),(393,1),(474,1),(475,1)}
       437:{2,4,7}:{(392,1),(393,1),(400,1),(456,1),(474,1)}
       438:{2,4,5}:{(393,1),(395,1),(401,1),(457,1),(475,1)}
       439:{2,3,5,7}:{(394,1),(395,1),(402,1),(458,1),(472,1),(476,1),(477,1),(525,1),(542,1)}
       440:{2,3,6}:{(396,1),(403,1),(459,1),(473,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(403,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(402,1),(476,1),(480,1)}
       445:{1,3,5,6}:{(402,1),(403,1),(404,1),(477,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(413,1),(431,1),(481,1),(482,1),(483,1),(501,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(415,1),(432,1),(482,1),(483,1),(484,1),(493,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(419,1),(434,1),(484,1),(485,1)}
       451:{1,2,5,6}:{(412,1),(420,1),(486,1),(487,1),(537,1),(551,1)}
       452:{2,5,7}:{(411,1),(412,1),(422,1),(481,1)}
       453:{2,3,5,6}:{(412,1),(414,1),(423,1),(487,1),(488,1),(489,1),(499,1),(539,1),(549,1)}
       454:{1,3,5,7}:{(413,1),(414,1),(425,1),(435,1),(482,1),(488,1),(490,1)}
       455:{1,3,4,6}:{(414,1),(416,1),(436,1),(489,1),(490,1),(491,1)}
       456:{1,4,7}:{(415,1),(416,1),(437,1)}
       457:{1,4,5}:{(416,1),(418,1),(438,1)}
       458:{1,3,5,7}:{(417,1),(418,1),(429,1),(439,1),(484,1),(492,1),(493,1)}
       459:{1,3,6}:{(419,1),(430,1),(440,1),(485,1)}
       460:{1,2,3,5}:{(421,1),(494,1),(495,1),(537,1)}
       461:{1,2,4,7}:{(420,1),(422,1),(486,1),(496,1),(532,1)}
       462:{1,3,6}:{(420,1),(421,1),(423,1),(496,1)}
       463:{1,3,4}:{(421,1),(424,1),(495,1)}
       464:{2,3,7}:{(422,1),(423,1),(425,1),(496,1)}
       465:{2,3,4,6}:{(423,1),(424,1),(426,1),(489,1),(497,1),(498,1),(499,1),(539,1)}
       466:{1,3,4,7}:{(425,1),(426,1),(427,1),(498,1),(500,1)}
       467:{1,3,5}:{(426,1),(428,1),(499,1)}
       468:{1,2,4,5,7}:{(427,1),(428,1),(429,1),(492,1),(500,1),(501,1),(534,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(493,1),(501,1),(549,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(437,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(440,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(437,1)}
       475:{3,4,5}:{(436,1),(438,1)}
       476:{2,4,5,7}:{(437,1),(438,1),(439,1),(444,1),(492,1),(505,1),(506,1)}
       477:{2,3,5,6}:{(439,1),(440,1),(445,1),(493,1),(504,1),(506,1),(539,1),(540,1),(549,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(452,1)}
       482:{1,3,6,7}:{(447,1),(454,1),(470,1),(509,1),(524,1)}
       483:{1,4,6,7}:{(448,1),(456,1),(471,1),(511,1),(518,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(459,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(452,1),(461,1),(508,1),(513,1)}
       487:{1,3,5,6}:{(451,1),(453,1),(462,1),(513,1),(514,1),(522,1),(547,1),(552,1)}
       488:{2,3,5,7}:{(452,1),(453,1),(454,1),(464,1),(509,1),(513,1),(515,1),(542,1)}
       489:{2,4,6}:{(453,1),(455,1),(514,1),(515,1),(516,1)}
       490:{1,3,4,7}:{(454,1),(455,1),(456,1),(474,1),(515,1)}
       491:{1,3,4,5}:{(455,1),(457,1),(467,1),(475,1),(516,1)}
       492:{1,4,5,7}:{(456,1),(457,1),(458,1),(476,1),(518,1)}
       493:{1,3,5,6}:{(458,1),(459,1),(469,1),(477,1),(512,1),(518,1),(524,1)}
       494:{1,2,3,6}:{(460,1),(462,1),(519,1),(520,1)}
       495:{1,2,4}:{(460,1),(463,1)}
       496:{1,3,7}:{(461,1),(462,1),(464,1)}
       497:{1,3,4,6}:{(462,1),(463,1),(465,1),(514,1),(520,1),(521,1),(522,1),(547,1)}
       498:{2,3,4,7}:{(464,1),(465,1),(466,1),(515,1),(521,1),(523,1)}
       499:{2,3,5}:{(465,1),(467,1),(516,1),(522,1)}
       500:{1,3,5,7}:{(466,1),(467,1),(468,1),(523,1),(524,1)}
       501:{1,2,4,6}:{(468,1),(469,1),(518,1),(524,1),(545,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(476,1),(525,1),(527,1)}
       506:{2,4,6}:{(476,1),(477,1),(480,1),(518,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(488,1),(528,1),(529,1),(539,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(490,1),(502,1),(529,1),(530,1),(535,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(488,1),(496,1),(528,1),(532,1),(548,1)}
       514:{1,4,6}:{(487,1),(489,1),(532,1),(533,1)}
       515:{2,4,7}:{(488,1),(489,1),(490,1),(532,1)}
       516:{2,4,5}:{(489,1),(491,1),(499,1),(533,1)}
       517:{1,3,4,5,7}:{(490,1),(491,1),(492,1),(500,1),(505,1),(530,1),(534,1),(535,1)}
       518:{1,4,6}:{(492,1),(493,1),(506,1)}
       519:{1,2,3,7}:{(494,1),(496,1),(536,1)}
       520:{1,2,4,6}:{(494,1),(495,1),(497,1),(536,1),(537,1),(551,1)}
       521:{1,3,4,7}:{(496,1),(497,1),(498,1),(532,1),(536,1),(538,1)}
       522:{1,3,5}:{(497,1),(499,1),(533,1),(537,1)}
       523:{2,3,5,7}:{(498,1),(499,1),(500,1),(534,1),(538,1),(539,1)}
       524:{1,3,6}:{(500,1),(501,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(515,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(518,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(515,1)}
       533:{1,4,5}:{(514,1),(516,1),(522,1)}
       534:{2,4,5,7}:{(515,1),(516,1),(517,1),(523,1),(542,1),(544,1),(545,1)}
       535:{1,3,4,6}:{(517,1),(518,1),(524,1),(527,1),(543,1),(545,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(521,1),(546,1)}
       537:{1,2,5}:{(520,1),(522,1)}
       538:{1,3,5,7}:{(521,1),(522,1),(523,1),(544,1),(546,1),(547,1)}
       539:{2,3,6}:{(523,1),(524,1),(545,1),(547,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(535,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(538,1),(548,1),(550,1)}
       545:{2,4,6}:{(534,1),(535,1),(539,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(538,1),(551,1)}
       547:{1,3,6}:{(538,1),(539,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

2085 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2086 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2087 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2088 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2089 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(11,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(41,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(42,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(24,1),(138,1)}
        12:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(25,1),(28,1),(63,1),(65,1),(92,1),(137,1)}
        13:{1,2,5}:{(5,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(65,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(31,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(74,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(32,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(46,1),(90,1),(154,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1)}
        25:{1,3,5}:{(12,1),(13,1),(37,1),(42,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(42,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(90,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,2,4,7}:{(17,1),(18,1),(50,1),(51,1),(56,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(52,1),(55,1),(96,1),(99,1),(101,1)}
        33:{1,2,5}:{(18,1),(52,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(57,1),(61,1),(110,1),(140,1)}
        37:{2,3,5}:{(21,1),(25,1),(52,1),(58,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(57,1),(62,1),(63,1)}
        41:{1,2,6}:{(24,1),(63,1)}
        42:{1,4,5}:{(25,1),(58,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(63,1),(65,1),(66,1),(112,1),(137,1),(164,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(65,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(75,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(73,1),(79,1),(121,1),(125,1)}
        51:{1,2,5,7}:{(31,1),(33,1),(73,1),(74,1)}
        52:{1,3,5}:{(32,1),(33,1),(37,1),(75,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(73,1),(81,1),(82,1)}
        58:{2,4,5}:{(37,1),(42,1),(75,1),(80,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(43,1),(76,1),(82,1),(83,1),(84,1),(85,1),(119,1),(128,1),(130,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(81,1),(87,1),(90,1),(134,1)}
        63:{1,3,6}:{(40,1),(41,1),(82,1),(87,1)}
        64:{1,2,6,7}:{(41,1),(44,1),(88,1),(133,1)}
        65:{1,4,6}:{(42,1),(43,1),(83,1),(90,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(90,1),(134,1),(154,1),(171,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(89,1),(91,1),(128,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(90,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(101,1),(139,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(52,1),(57,1),(98,1),(99,1)}
        74:{1,2,6}:{(51,1),(99,1)}
        75:{1,4,5}:{(52,1),(58,1),(101,1)}
        76:{1,3,5,6}:{(52,1),(53,1),(55,1),(59,1),(96,1),(99,1),(101,1),(102,1),(103,1),(143,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(58,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(107,1),(110,1),(150,1)}
        82:{2,3,6}:{(57,1),(63,1),(99,1),(107,1)}
        83:{2,4,6}:{(58,1),(59,1),(65,1),(101,1),(106,1),(110,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(66,1),(102,1),(108,1),(110,1),(111,1),(140,1),(149,1),(150,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,6}:{(62,1),(63,1),(107,1),(112,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(66,1),(108,1),(113,1),(174,1)}
        89:{1,4,5,6}:{(65,1),(67,1),(109,1),(112,1),(114,1),(164,1)}
        90:{1,4,7}:{(65,1),(66,1),(110,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(114,1),(115,1),(149,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(75,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(125,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(75,1),(81,1),(122,1),(125,1),(158,1)}
        99:{1,3,6}:{(73,1),(74,1),(82,1),(122,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(123,1),(172,1)}
       101:{1,4,6}:{(75,1),(76,1),(83,1),(125,1)}
       102:{1,3,5,7}:{(76,1),(77,1),(79,1),(84,1),(121,1),(123,1),(125,1),(126,1),(158,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(127,1),(129,1),(161,1)}
       106:{3,4,6}:{(80,1),(83,1),(128,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(87,1),(122,1),(127,1),(130,1)}
       108:{2,3,6,7}:{(82,1),(84,1),(88,1),(123,1),(131,1),(133,1),(162,1),(172,1)}
       109:{2,4,5,6}:{(83,1),(85,1),(89,1),(124,1),(128,1),(130,1),(132,1),(155,1),(160,1)}
       110:{2,4,7}:{(83,1),(84,1),(90,1),(125,1),(129,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,5,6}:{(87,1),(130,1),(134,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1)}
       114:{1,4,5,7}:{(89,1),(90,1),(91,1),(132,1),(134,1),(135,1),(171,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(135,1),(162,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(101,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,6}:{(98,1),(99,1),(107,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(102,1),(108,1),(144,1),(146,1)}
       124:{1,4,5,6}:{(101,1),(103,1),(109,1),(141,1),(143,1),(145,1)}
       125:{1,4,7}:{(101,1),(102,1),(110,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,4,6}:{(105,1),(107,1),(147,1)}
       128:{3,5,6}:{(106,1),(109,1),(149,1)}
       129:{3,4,7}:{(106,1),(110,1),(149,1)}
       130:{2,5,6}:{(107,1),(112,1),(143,1),(147,1),(150,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(110,1),(113,1),(144,1),(148,1),(150,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(114,1),(145,1),(149,1),(150,1),(151,1),(166,1),(169,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,5,7}:{(112,1),(113,1),(150,1)}
       135:{1,4,6,7}:{(114,1),(115,1),(151,1),(152,1),(174,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(124,1),(128,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(125,1),(129,1),(156,1),(157,1)}
       143:{1,5,6}:{(122,1),(130,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(158,1)}
       145:{1,4,5,7}:{(124,1),(125,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,6}:{(127,1),(130,1),(160,1),(161,1)}
       148:{3,4,6,7}:{(127,1),(129,1),(131,1),(161,1),(162,1),(173,1)}
       149:{3,5,7}:{(128,1),(129,1),(132,1),(162,1)}
       150:{2,5,7}:{(130,1),(131,1),(134,1),(158,1),(161,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1),(172,1),(173,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(145,1),(149,1),(166,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(150,1)}
       159:{1,4,6,7}:{(145,1),(146,1),(151,1),(167,1),(168,1)}
       160:{4,5,6}:{(147,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(150,1),(169,1)}
       162:{3,6,7}:{(149,1),(151,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(159,1),(162,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{4,5,7}:{(160,1),(161,1),(173,1)}
       170:{3,5,6,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

2090 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2091 :   0:{1,2,3,6,7}:{(1,1),(2,1),(37,1),(40,1),(73,1),(89,1),(244,1),(368,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(121,1),(288,1),(353,1),(357,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(60,1),(107,1),(113,1),(122,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(22,1),(27,1),(62,1),(68,1),(113,1),(177,1),(269,1),(341,1)}
         4:{1,3,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(12,1),(32,1),(38,1),(40,1),(88,1),(147,1),(153,1),(244,1),(326,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(14,1),(35,1),(40,1),(73,1),(85,1),(148,1),(154,1),(242,1),(320,1),(327,1)}
         6:{1,2,4,7}:{(1,1),(11,1),(12,1),(160,1),(326,1)}
         7:{1,2,5,7}:{(2,1),(10,1),(14,1),(148,1),(150,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(93,1),(150,1),(222,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(22,1),(47,1),(62,1),(102,1),(113,1),(127,1),(216,1),(300,1)}
        10:{1,3,5,7}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1),(194,1),(196,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1),(21,1),(117,1),(199,1),(287,1)}
        12:{1,3,4,7}:{(6,1),(20,1),(22,1),(23,1),(357,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(18,1),(21,1),(23,1),(24,1),(51,1)}
        14:{1,2,5,6}:{(7,1),(19,1),(24,1),(108,1),(122,1)}
        15:{2,4,5,7}:{(8,1),(18,1),(26,1),(27,1),(266,1),(341,1)}
        16:{2,3,5,6}:{(8,1),(19,1),(27,1),(62,1),(64,1),(108,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(136,1),(150,1),(169,1)}
        18:{1,4,5,7}:{(10,1),(15,1),(29,1),(32,1),(241,1),(326,1)}
        19:{1,3,5,6}:{(10,1),(14,1),(16,1),(30,1),(32,1),(40,1),(88,1),(149,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(34,1),(35,1),(40,1),(245,1),(327,1)}
        21:{1,2,4,5}:{(11,1),(35,1),(81,1),(148,1),(241,1)}
        22:{2,3,4,7}:{(12,1),(34,1),(38,1),(39,1),(160,1),(329,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(35,1),(39,1),(40,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(32,1),(40,1),(78,1)}
        25:{1,2,5,6,7}:{(14,1),(33,1),(41,1),(150,1),(163,1),(233,1),(243,1),(255,1),(304,1)}
        26:{3,4,5,7}:{(15,1),(44,1),(93,1),(305,1),(365,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(44,1)}
        28:{2,3,5,6,7}:{(16,1),(33,1),(45,1),(89,1),(93,1),(150,1),(304,1),(309,1),(362,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(46,1),(47,1),(213,1),(300,1)}
        30:{2,3,5,6}:{(17,1),(19,1),(47,1),(62,1),(98,1),(108,1)}
        31:{1,3,4,5,7}:{(18,1),(23,1),(26,1),(46,1),(51,1),(52,1),(54,1),(109,1),(118,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(47,1)}
        33:{1,3,5,6,7}:{(19,1),(25,1),(28,1),(48,1),(53,1),(63,1),(109,1),(123,1),(196,1),(288,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(56,1),(57,1),(62,1),(117,1),(200,1),(291,1)}
        35:{1,3,5}:{(20,1),(21,1),(57,1)}
        36:{1,2,4,5,6}:{(21,1),(24,1),(49,1),(58,1),(59,1),(108,1),(117,1),(192,1),(195,1),(211,1),(264,1),(282,1),(287,1),(290,1)}
        37:{1,2,3,7}:{(55,1),(60,1),(293,1)}
        38:{1,3,4,7}:{(22,1),(56,1),(60,1),(61,1),(206,1),(293,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(51,1),(57,1),(61,1),(62,1)}
        40:{1,3,6}:{(23,1),(24,1),(62,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(59,1),(63,1),(113,1),(275,1),(295,1),(336,1),(346,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(64,1),(65,1),(108,1)}
        43:{2,3,4,5,7}:{(26,1),(51,1),(66,1),(67,1),(114,1),(129,1),(180,1),(203,1),(266,1),(335,1),(341,1),(344,1)}
        44:{3,4,6}:{(26,1),(27,1),(64,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(53,1),(65,1),(68,1),(341,1)}
        46:{3,4,5,7}:{(29,1),(71,1),(136,1),(256,1),(334,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(71,1)}
        48:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(89,1),(136,1),(150,1),(255,1),(260,1),(331,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(69,1),(74,1),(75,1),(149,1)}
        50:{1,2,3,5,7}:{(37,1),(73,1),(76,1),(80,1),(87,1),(148,1),(151,1),(154,1),(227,1),(311,1)}
        51:{2,4,5,7}:{(31,1),(39,1),(77,1),(78,1),(81,1),(150,1),(160,1)}
        52:{1,3,4,6}:{(31,1),(32,1),(40,1),(44,1),(71,1),(74,1),(78,1)}
        53:{1,4,6,7}:{(32,1),(33,1),(45,1),(72,1),(75,1),(326,1)}
        54:{1,3,4,5}:{(35,1),(81,1),(82,1),(241,1),(256,1),(305,1)}
        55:{1,2,3,6}:{(37,1),(80,1),(83,1),(250,1)}
        56:{1,3,4,6}:{(34,1),(38,1),(83,1),(84,1),(88,1),(157,1),(159,1),(250,1)}
        57:{2,3,5}:{(34,1),(35,1),(81,1),(84,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(40,1),(82,1),(85,1),(86,1),(257,1),(306,1),(327,1)}
        59:{1,2,4,5,7}:{(36,1),(41,1),(75,1),(86,1),(150,1),(160,1),(240,1),(243,1),(258,1),(307,1),(323,1),(326,1),(328,1)}
        60:{1,2,4,7}:{(37,1),(38,1),(83,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(77,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(78,1),(88,1)}
        63:{1,3,6,7}:{(40,1),(41,1),(86,1),(89,1),(331,1),(362,1)}
        64:{3,5,6}:{(42,1),(44,1),(93,1)}
        65:{2,4,5,7}:{(42,1),(45,1),(75,1),(93,1),(150,1)}
        66:{1,3,4,5,7}:{(43,1),(77,1),(95,1),(96,1),(151,1),(155,1),(171,1),(241,1),(249,1),(256,1),(326,1),(334,1),(366,1)}
        67:{2,3,4,6}:{(43,1),(44,1),(78,1),(92,1),(96,1),(225,1),(308,1),(361,1),(369,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(93,1),(362,1),(365,1)}
        69:{2,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(108,1)}
        70:{2,3,4,5,7}:{(46,1),(51,1),(100,1),(101,1),(114,1),(130,1),(179,1),(203,1),(213,1),(294,1),(300,1),(344,1)}
        71:{3,4,6}:{(46,1),(47,1),(98,1)}
        72:{2,4,6,7}:{(47,1),(48,1),(53,1),(99,1),(102,1),(300,1)}
        73:{1,2,3,6}:{(50,1),(107,1),(122,1),(197,1),(343,1)}
        74:{1,3,5,6}:{(49,1),(52,1),(64,1),(98,1),(108,1),(109,1)}
        75:{1,4,5,7}:{(49,1),(53,1),(65,1),(99,1),(109,1),(196,1)}
        76:{1,2,4,7}:{(50,1),(107,1),(110,1),(115,1),(199,1)}
        77:{1,4,5,7}:{(51,1),(61,1),(112,1),(116,1),(196,1),(206,1)}
        78:{2,4,6}:{(51,1),(52,1),(62,1),(108,1),(112,1)}
        79:{1,3,4,6,7}:{(52,1),(53,1),(63,1),(68,1),(102,1),(109,1),(113,1),(118,1)}
        80:{1,2,3,5}:{(55,1),(115,1),(119,1),(204,1)}
        81:{2,4,5}:{(54,1),(57,1),(116,1),(117,1)}
        82:{1,3,4,6}:{(54,1),(58,1),(117,1),(118,1),(287,1),(298,1),(339,1)}
        83:{1,2,4,6}:{(55,1),(56,1),(60,1),(115,1),(119,1),(122,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(119,1)}
        85:{2,3,5,6}:{(57,1),(58,1),(62,1),(108,1),(117,1),(120,1),(121,1),(282,1),(291,1)}
        86:{1,3,5,7}:{(58,1),(59,1),(63,1),(118,1),(121,1),(299,1),(340,1),(357,1)}
        87:{1,2,5,7}:{(60,1),(61,1),(119,1),(122,1)}
        88:{1,3,6}:{(61,1),(62,1),(112,1),(122,1)}
        89:{2,3,6,7}:{(62,1),(63,1),(113,1),(121,1),(123,1),(346,1)}
        90:{2,4,5,6,7}:{(65,1),(104,1),(124,1),(187,1),(208,1),(336,1),(380,1)}
        91:{3,4,5,6}:{(64,1),(125,1),(126,1),(339,1),(378,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(108,1),(125,1),(128,1),(129,1),(378,1),(383,1)}
        93:{3,5,7}:{(64,1),(65,1),(68,1)}
        94:{2,3,4,7}:{(110,1),(127,1),(130,1),(200,1),(300,1)}
        95:{2,4,5,7}:{(66,1),(130,1),(131,1),(201,1),(213,1),(215,1),(292,1),(300,1)}
        96:{1,3,4,6}:{(66,1),(67,1),(112,1),(128,1),(131,1),(197,1),(287,1),(298,1),(381,1)}
        97:{2,3,4,6,7}:{(67,1),(68,1),(113,1),(129,1),(132,1),(203,1),(208,1),(269,1),(272,1),(341,1),(379,1),(384,1)}
        98:{3,5,6}:{(69,1),(71,1),(136,1)}
        99:{2,4,5,7}:{(69,1),(72,1),(75,1),(136,1),(150,1)}
       100:{1,3,4,5,7}:{(70,1),(77,1),(138,1),(139,1),(151,1),(155,1),(224,1),(241,1),(249,1),(305,1),(326,1),(365,1),(366,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(78,1),(135,1),(139,1),(172,1),(259,1),(330,1),(369,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(136,1),(331,1),(334,1)}
       103:{1,2,3,6,7}:{(73,1),(141,1),(142,1),(163,1),(227,1),(244,1),(315,1),(370,1)}
       104:{1,4,5,6,7}:{(75,1),(90,1),(133,1),(143,1),(233,1),(252,1),(301,1),(373,1)}
       105:{1,2,3,5,6}:{(73,1),(80,1),(141,1),(144,1),(148,1),(161,1),(232,1),(238,1),(242,1),(250,1),(315,1),(322,1)}
       106:{1,3,4,5,6}:{(74,1),(82,1),(91,1),(134,1),(145,1),(146,1),(167,1),(220,1),(236,1),(257,1),(306,1),(324,1),(371,1)}
       107:{1,2,4,6}:{(73,1),(76,1),(147,1),(148,1)}
       108:{2,5,6}:{(74,1),(78,1),(149,1),(150,1)}
       109:{1,3,5,7}:{(74,1),(75,1),(79,1),(93,1),(136,1),(150,1)}
       110:{1,3,4,7}:{(76,1),(94,1),(137,1),(147,1),(151,1),(157,1),(245,1),(326,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(87,1),(95,1),(138,1),(148,1),(151,1),(152,1),(158,1),(241,1),(243,1),(246,1),(251,1),(311,1),(326,1),(328,1),(366,1)}
       112:{1,4,6}:{(77,1),(78,1),(88,1),(149,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(89,1),(150,1),(153,1),(160,1)}
       114:{2,3,4,5}:{(81,1),(155,1),(156,1),(247,1),(256,1),(305,1),(321,1)}
       115:{1,2,4}:{(80,1),(157,1)}
       116:{1,4,5}:{(81,1),(84,1),(159,1)}
       117:{2,4,6}:{(81,1),(82,1),(85,1),(159,1),(160,1)}
       118:{1,3,4,7}:{(82,1),(86,1),(160,1),(326,1),(334,1),(365,1)}
       119:{1,2,5}:{(83,1),(84,1)}
       120:{1,3,5,6}:{(84,1),(85,1),(88,1),(149,1),(159,1),(161,1),(162,1),(250,1)}
       121:{2,3,5,7}:{(85,1),(86,1),(89,1),(150,1),(160,1),(162,1),(323,1),(329,1)}
       122:{1,2,6}:{(87,1),(88,1)}
       123:{1,3,6,7}:{(88,1),(89,1),(153,1),(162,1),(163,1)}
       124:{3,5,6,7}:{(90,1),(93,1),(164,1),(362,1),(387,1)}
       125:{2,4,5,6}:{(91,1),(92,1),(167,1),(168,1),(308,1)}
       126:{3,4,5,7}:{(91,1),(93,1),(164,1),(168,1),(365,1),(387,1)}
       127:{2,3,4,6}:{(94,1),(147,1),(169,1),(172,1),(259,1)}
       128:{1,3,5,6}:{(92,1),(96,1),(149,1),(167,1),(170,1),(171,1),(257,1),(388,1)}
       129:{2,3,5,7}:{(92,1),(93,1),(97,1),(150,1),(168,1),(171,1),(387,1),(390,1)}
       130:{2,3,5,7}:{(94,1),(95,1),(151,1),(169,1),(172,1),(247,1),(329,1)}
       131:{2,4,6}:{(95,1),(96,1),(170,1),(172,1)}
       132:{1,3,4,6,7}:{(96,1),(97,1),(153,1),(171,1),(173,1),(244,1),(249,1),(252,1),(313,1),(326,1),(331,1),(334,1),(389,1)}
       133:{2,4,5,6,7}:{(99,1),(104,1),(174,1),(187,1),(261,1),(295,1),(360,1)}
       134:{3,4,5,6}:{(98,1),(175,1),(176,1),(298,1),(358,1)}
       135:{2,3,5,6}:{(98,1),(101,1),(108,1),(175,1),(178,1),(179,1),(358,1),(383,1)}
       136:{3,5,7}:{(98,1),(99,1),(102,1)}
       137:{2,3,4,7}:{(110,1),(177,1),(180,1),(200,1),(341,1)}
       138:{2,4,5,7}:{(100,1),(180,1),(181,1),(201,1),(266,1),(268,1),(292,1),(341,1)}
       139:{1,3,4,6}:{(100,1),(101,1),(112,1),(178,1),(181,1),(197,1),(287,1),(339,1),(381,1)}
       140:{2,3,4,6,7}:{(101,1),(102,1),(113,1),(179,1),(182,1),(203,1),(216,1),(261,1),(272,1),(300,1),(359,1),(384,1)}
       141:{1,2,3,5,7}:{(103,1),(105,1),(183,1),(186,1),(207,1),(273,1),(288,1),(293,1),(355,1)}
       142:{1,2,4,6,7}:{(103,1),(107,1),(183,1),(185,1),(186,1),(270,1),(274,1),(343,1),(384,1)}
       143:{1,3,5,6,7}:{(104,1),(109,1),(124,1),(174,1),(184,1),(187,1),(385,1)}
       144:{1,2,4,6}:{(105,1),(115,1),(183,1),(190,1),(191,1),(287,1),(354,1)}
       145:{2,4,5,6}:{(106,1),(108,1),(117,1),(189,1),(192,1),(193,1),(282,1),(354,1),(383,1)}
       146:{1,3,4,5,7}:{(106,1),(109,1),(118,1),(126,1),(176,1),(184,1),(193,1),(212,1),(265,1),(283,1),(299,1),(340,1),(356,1),(385,1)}
       147:{1,3,4,6}:{(107,1),(110,1),(127,1),(177,1),(194,1),(197,1),(287,1)}
       148:{1,2,5}:{(107,1),(194,1)}
       149:{1,5,6}:{(108,1),(112,1),(196,1)}
       150:{2,5,7}:{(108,1),(109,1),(113,1),(196,1)}
       151:{1,3,5,7}:{(110,1),(111,1),(130,1),(180,1),(194,1),(197,1),(204,1),(289,1),(293,1),(357,1)}
       152:{1,2,4,6}:{(111,1),(112,1),(122,1),(131,1),(181,1),(195,1),(197,1),(287,1),(343,1),(381,1)}
       153:{1,4,6,7}:{(112,1),(113,1),(123,1),(196,1),(206,1)}
       154:{1,2,3,5}:{(188,1),(199,1),(280,1),(289,1)}
       155:{1,3,4,5}:{(114,1),(116,1),(201,1),(202,1),(204,1),(289,1),(351,1)}
       156:{2,3,4,6}:{(114,1),(117,1),(189,1),(202,1),(203,1),(291,1),(298,1),(339,1),(354,1)}
       157:{1,3,4}:{(115,1),(200,1),(204,1)}
       158:{1,2,4,5}:{(115,1),(116,1),(119,1),(201,1),(204,1),(205,1)}
       159:{1,4,6}:{(116,1),(117,1),(120,1),(206,1)}
       160:{2,4,7}:{(117,1),(118,1),(121,1),(206,1)}
       161:{1,2,5,6}:{(119,1),(120,1),(122,1),(205,1),(207,1),(282,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(123,1),(196,1),(206,1),(207,1),(293,1)}
       163:{1,2,6,7}:{(122,1),(123,1),(207,1),(346,1)}
       164:{3,4,6,7}:{(124,1),(126,1),(208,1)}
       165:{2,3,4,6,7}:{(127,1),(185,1),(209,1),(216,1),(271,1),(296,1),(300,1),(345,1),(359,1),(384,1)}
       166:{2,3,5,6,7}:{(124,1),(129,1),(187,1),(208,1),(210,1),(272,1)}
       167:{1,4,5,6}:{(125,1),(128,1),(211,1),(212,1),(287,1)}
       168:{2,4,5,7}:{(125,1),(126,1),(129,1),(208,1),(212,1),(341,1)}
       169:{2,3,5}:{(127,1),(194,1),(213,1)}
       170:{2,5,6}:{(128,1),(131,1),(215,1)}
       171:{1,3,5,7}:{(128,1),(129,1),(132,1),(196,1),(212,1),(215,1),(299,1),(391,1)}
       172:{2,3,6}:{(130,1),(131,1),(197,1)}
       173:{2,4,6,7}:{(131,1),(132,1),(215,1),(216,1),(292,1),(300,1),(346,1)}
       174:{3,5,6,7}:{(133,1),(136,1),(217,1),(331,1),(377,1)}
       175:{2,4,5,6}:{(134,1),(135,1),(220,1),(221,1),(259,1)}
       176:{3,4,5,7}:{(134,1),(136,1),(217,1),(221,1),(334,1),(377,1)}
       177:{2,3,4,6}:{(137,1),(147,1),(222,1),(225,1),(308,1)}
       178:{1,3,5,6}:{(135,1),(139,1),(149,1),(220,1),(223,1),(224,1),(306,1),(388,1)}
       179:{2,3,5,7}:{(135,1),(136,1),(140,1),(150,1),(221,1),(224,1),(377,1),(390,1)}
       180:{2,3,5,7}:{(137,1),(138,1),(151,1),(222,1),(225,1),(247,1),(329,1)}
       181:{2,4,6}:{(138,1),(139,1),(223,1),(225,1)}
       182:{1,3,4,6,7}:{(139,1),(140,1),(153,1),(224,1),(226,1),(244,1),(249,1),(301,1),(313,1),(326,1),(362,1),(365,1),(389,1)}
       183:{1,2,4,7}:{(141,1),(144,1),(228,1),(326,1),(376,1)}
       184:{1,3,4,6,7}:{(143,1),(146,1),(164,1),(217,1),(230,1),(252,1),(301,1),(313,1),(331,1),(362,1)}
       185:{1,3,4,6,7}:{(142,1),(147,1),(165,1),(218,1),(228,1),(231,1),(244,1),(310,1),(315,1),(317,1),(326,1),(367,1),(389,1)}
       186:{1,2,5,7}:{(142,1),(148,1),(231,1),(232,1),(390,1)}
       187:{2,5,6,7}:{(143,1),(150,1),(230,1),(233,1),(390,1)}
       188:{1,2,3,6}:{(154,1),(227,1),(234,1),(327,1)}
       189:{2,3,5,6}:{(145,1),(156,1),(236,1),(237,1),(257,1),(306,1)}
       190:{1,3,4,6}:{(144,1),(157,1),(228,1),(235,1),(238,1),(250,1),(315,1)}
       191:{1,2,4,5}:{(144,1),(148,1),(238,1),(241,1),(321,1)}
       192:{1,4,5,6}:{(145,1),(149,1),(159,1),(236,1),(240,1),(374,1),(388,1)}
       193:{2,4,5,7}:{(145,1),(146,1),(150,1),(160,1),(230,1),(237,1),(240,1),(323,1),(376,1),(390,1)}
       194:{1,3,5}:{(147,1),(148,1),(169,1),(222,1),(241,1)}
       195:{1,2,5,6}:{(148,1),(149,1),(152,1),(170,1),(223,1),(242,1),(243,1),(388,1)}
       196:{1,5,7}:{(149,1),(150,1),(153,1)}
       197:{1,3,6}:{(151,1),(152,1),(172,1),(225,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(163,1),(173,1),(226,1),(243,1),(244,1),(251,1),(326,1),(328,1),(368,1),(389,1)}
       199:{1,2,4}:{(154,1),(245,1)}
       200:{2,3,4}:{(157,1),(245,1),(247,1)}
       201:{2,4,5}:{(155,1),(247,1),(248,1)}
       202:{1,3,4,6}:{(155,1),(156,1),(159,1),(236,1),(248,1),(249,1),(250,1),(327,1),(374,1)}
       203:{2,3,4,7}:{(156,1),(160,1),(237,1),(249,1),(329,1),(334,1),(365,1),(376,1)}
       204:{1,3,5}:{(157,1),(158,1),(247,1),(250,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(161,1),(248,1),(250,1),(251,1)}
       206:{1,4,7}:{(159,1),(160,1),(162,1)}
       207:{1,2,5,7}:{(161,1),(162,1),(163,1),(251,1),(323,1)}
       208:{2,4,6,7}:{(164,1),(166,1),(168,1),(252,1)}
       209:{2,3,5,7}:{(165,1),(169,1),(231,1),(253,1),(254,1),(377,1),(390,1)}
       210:{1,3,5,6,7}:{(166,1),(171,1),(233,1),(252,1),(255,1),(313,1),(331,1)}
       211:{2,4,5,6}:{(167,1),(170,1),(257,1),(258,1),(259,1)}
       212:{1,4,5,7}:{(167,1),(168,1),(171,1),(252,1),(258,1),(326,1)}
       213:{2,4,5}:{(169,1),(241,1),(256,1),(259,1)}
       214:{2,3,5,6}:{(169,1),(170,1),(172,1),(242,1),(257,1),(259,1),(260,1)}
       215:{2,5,7}:{(170,1),(171,1),(173,1)}
       216:{2,3,6,7}:{(172,1),(173,1),(244,1),(260,1),(329,1),(331,1)}
       217:{3,4,6,7}:{(174,1),(176,1),(261,1)}
       218:{2,3,4,6,7}:{(177,1),(185,1),(262,1),(269,1),(271,1),(337,1),(341,1),(345,1),(379,1),(384,1)}
       219:{2,3,5,6,7}:{(174,1),(179,1),(187,1),(261,1),(263,1),(272,1)}
       220:{1,4,5,6}:{(175,1),(178,1),(264,1),(265,1),(287,1)}
       221:{2,4,5,7}:{(175,1),(176,1),(179,1),(261,1),(265,1),(300,1)}
       222:{2,3,5}:{(177,1),(194,1),(266,1)}
       223:{2,5,6}:{(178,1),(181,1),(268,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(182,1),(196,1),(265,1),(268,1),(340,1),(391,1)}
       225:{2,3,6}:{(180,1),(181,1),(197,1)}
       226:{2,4,6,7}:{(181,1),(182,1),(268,1),(269,1),(292,1),(341,1),(346,1)}
       227:{1,2,3,7}:{(188,1),(270,1),(357,1)}
       228:{1,3,4,7}:{(183,1),(190,1),(271,1),(273,1),(293,1)}
       229:{1,2,4,5,7}:{(183,1),(186,1),(191,1),(273,1),(274,1),(276,1),(344,1)}
       230:{2,4,6,7}:{(184,1),(187,1),(193,1),(272,1),(275,1),(346,1)}
       231:{1,3,5,7}:{(185,1),(186,1),(194,1),(209,1),(262,1),(276,1),(277,1),(391,1)}
       232:{1,2,5,6}:{(186,1),(274,1),(277,1),(343,1),(383,1)}
       233:{1,5,6,7}:{(187,1),(196,1),(275,1),(391,1)}
       234:{1,2,4,6}:{(188,1),(199,1),(270,1),(279,1),(280,1),(343,1)}
       235:{2,3,4,6}:{(190,1),(200,1),(271,1),(279,1),(281,1),(291,1),(345,1),(354,1)}
       236:{1,3,5,6}:{(189,1),(192,1),(202,1),(282,1),(283,1)}
       237:{2,3,5,7}:{(189,1),(193,1),(203,1),(272,1),(283,1),(299,1),(340,1)}
       238:{1,3,5}:{(190,1),(191,1),(281,1)}
       239:{1,2,4,5,6}:{(191,1),(192,1),(195,1),(205,1),(211,1),(264,1),(274,1),(282,1),(285,1),(286,1),(287,1),(349,1),(354,1),(383,1)}
       240:{1,4,5,7}:{(192,1),(193,1),(196,1),(206,1),(275,1),(283,1),(386,1),(391,1)}
       241:{1,4,5}:{(194,1),(213,1),(266,1),(287,1)}
       242:{1,3,5,6}:{(194,1),(195,1),(197,1),(214,1),(267,1),(287,1),(288,1)}
       243:{1,2,5,7}:{(195,1),(196,1),(198,1),(215,1),(268,1),(288,1),(391,1)}
       244:{1,3,6,7}:{(197,1),(198,1),(216,1),(269,1),(288,1),(293,1),(357,1)}
       245:{1,3,4}:{(199,1),(200,1),(289,1)}
       246:{1,2,4,5}:{(199,1),(201,1),(280,1),(289,1),(290,1),(351,1)}
       247:{2,3,5}:{(200,1),(201,1),(204,1),(289,1),(291,1)}
       248:{2,4,6}:{(201,1),(202,1),(282,1),(291,1),(292,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(206,1),(283,1),(292,1),(293,1),(357,1),(386,1)}
       250:{1,3,6}:{(204,1),(205,1),(291,1),(293,1)}
       251:{1,2,4,7}:{(205,1),(206,1),(207,1),(292,1),(293,1)}
       252:{1,4,6,7}:{(208,1),(210,1),(212,1),(295,1)}
       253:{2,4,5,7}:{(209,1),(213,1),(276,1),(294,1),(296,1),(300,1)}
       254:{2,3,5,6}:{(209,1),(277,1),(296,1),(345,1),(358,1),(383,1)}
       255:{2,5,6,7}:{(210,1),(215,1),(295,1),(346,1)}
       256:{3,4,5}:{(213,1),(298,1)}
       257:{3,5,6}:{(211,1),(298,1),(299,1)}
       258:{2,4,5,7}:{(211,1),(212,1),(215,1),(295,1),(299,1),(300,1)}
       259:{2,4,6}:{(213,1),(214,1),(287,1),(298,1),(300,1)}
       260:{2,3,5,7}:{(214,1),(215,1),(216,1),(288,1),(299,1),(300,1)}
       261:{2,4,6,7}:{(217,1),(219,1),(221,1),(301,1)}
       262:{2,3,5,7}:{(218,1),(222,1),(231,1),(302,1),(303,1),(387,1),(390,1)}
       263:{1,3,5,6,7}:{(219,1),(224,1),(233,1),(301,1),(304,1),(313,1),(362,1)}
       264:{2,4,5,6}:{(220,1),(223,1),(306,1),(307,1),(308,1)}
       265:{1,4,5,7}:{(220,1),(221,1),(224,1),(301,1),(307,1),(326,1)}
       266:{2,4,5}:{(222,1),(241,1),(305,1),(308,1)}
       267:{2,3,5,6}:{(222,1),(223,1),(225,1),(242,1),(306,1),(308,1),(309,1)}
       268:{2,5,7}:{(223,1),(224,1),(226,1)}
       269:{2,3,6,7}:{(225,1),(226,1),(244,1),(309,1),(329,1),(362,1)}
       270:{1,2,4,7}:{(227,1),(234,1),(310,1),(311,1)}
       271:{2,3,4,7}:{(228,1),(235,1),(310,1),(312,1),(329,1),(376,1)}
       272:{2,3,6,7}:{(230,1),(237,1),(313,1),(331,1),(362,1)}
       273:{1,3,5,7}:{(228,1),(229,1),(238,1),(312,1),(315,1)}
       274:{1,2,4,6}:{(229,1),(232,1),(315,1),(317,1),(369,1)}
       275:{1,4,6,7}:{(230,1),(233,1),(240,1),(313,1)}
       276:{1,4,5,7}:{(231,1),(241,1),(253,1),(302,1),(317,1),(326,1)}
       277:{1,3,5,6}:{(231,1),(232,1),(254,1),(303,1),(315,1),(317,1),(367,1),(388,1)}
       278:{1,2,5,6,7}:{(232,1),(233,1),(243,1),(255,1),(304,1),(316,1),(318,1),(368,1),(390,1)}
       279:{1,3,4,6}:{(234,1),(235,1),(245,1),(310,1),(319,1),(327,1),(367,1),(374,1)}
       280:{1,2,5}:{(234,1),(319,1)}
       281:{2,3,5}:{(235,1),(238,1),(319,1),(321,1)}
       282:{2,5,6}:{(236,1),(248,1),(323,1)}
       283:{1,3,5,7}:{(236,1),(237,1),(240,1),(249,1),(313,1),(323,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(256,1),(305,1),(321,1),(324,1)}
       285:{1,3,5,6}:{(238,1),(239,1),(250,1),(257,1),(306,1),(315,1),(322,1),(324,1),(325,1)}
       286:{1,2,4,5,7}:{(239,1),(240,1),(243,1),(251,1),(258,1),(307,1),(316,1),(323,1),(325,1),(326,1),(373,1),(376,1),(390,1)}
       287:{1,4,6}:{(241,1),(242,1),(259,1),(308,1),(326,1)}
       288:{1,3,5,7}:{(242,1),(243,1),(244,1),(260,1),(309,1),(326,1)}
       289:{1,3,5}:{(245,1),(246,1),(247,1),(327,1)}
       290:{1,2,4,6}:{(246,1),(248,1),(320,1),(327,1),(328,1),(374,1)}
       291:{2,3,6}:{(247,1),(248,1),(250,1),(327,1),(329,1)}
       292:{2,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       293:{1,3,7}:{(250,1),(251,1),(329,1)}
       294:{3,4,5,7}:{(253,1),(256,1),(330,1),(334,1),(377,1)}
       295:{2,4,6,7}:{(252,1),(255,1),(258,1),(331,1)}
       296:{2,4,6}:{(253,1),(254,1),(317,1),(330,1)}
       297:{2,3,5,6,7}:{(254,1),(255,1),(260,1),(318,1),(331,1),(333,1),(370,1),(377,1),(390,1)}
       298:{3,4,6}:{(256,1),(257,1),(259,1),(334,1)}
       299:{3,5,7}:{(257,1),(258,1),(331,1),(334,1)}
       300:{2,4,7}:{(259,1),(260,1),(326,1),(334,1)}
       301:{1,4,6,7}:{(261,1),(263,1),(265,1),(336,1)}
       302:{2,4,5,7}:{(262,1),(266,1),(276,1),(335,1),(337,1),(341,1)}
       303:{2,3,5,6}:{(262,1),(277,1),(337,1),(345,1),(378,1),(383,1)}
       304:{2,5,6,7}:{(263,1),(268,1),(336,1),(346,1)}
       305:{3,4,5}:{(266,1),(339,1)}
       306:{3,5,6}:{(264,1),(339,1),(340,1)}
       307:{2,4,5,7}:{(264,1),(265,1),(268,1),(336,1),(340,1),(341,1)}
       308:{2,4,6}:{(266,1),(267,1),(287,1),(339,1),(341,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(269,1),(288,1),(340,1),(341,1)}
       310:{1,3,4,7}:{(270,1),(271,1),(279,1),(342,1),(357,1),(386,1)}
       311:{1,2,5,7}:{(270,1),(280,1),(342,1),(343,1)}
       312:{2,3,5,7}:{(271,1),(273,1),(281,1),(342,1),(344,1),(345,1)}
       313:{1,3,6,7}:{(272,1),(275,1),(283,1),(346,1)}
       314:{1,3,4,5,7}:{(273,1),(276,1),(284,1),(294,1),(335,1),(344,1),(347,1),(356,1),(385,1)}
       315:{1,3,6}:{(273,1),(274,1),(345,1)}
       316:{1,2,4,6,7}:{(274,1),(275,1),(278,1),(286,1),(295,1),(336,1),(346,1),(348,1),(350,1),(384,1)}
       317:{1,4,6}:{(276,1),(277,1),(296,1),(337,1)}
       318:{1,3,5,6,7}:{(277,1),(278,1),(288,1),(297,1),(338,1),(348,1),(350,1),(382,1),(385,1),(391,1)}
       319:{1,3,5}:{(279,1),(280,1),(281,1),(351,1)}
       320:{1,2,5,6}:{(280,1),(282,1),(290,1),(343,1),(352,1),(353,1)}
       321:{2,4,5}:{(281,1),(284,1),(351,1),(354,1)}
       322:{2,3,5,6}:{(281,1),(282,1),(285,1),(291,1),(345,1),(352,1),(354,1),(355,1),(383,1)}
       323:{2,5,7}:{(282,1),(283,1),(292,1),(346,1)}
       324:{1,3,4,6}:{(284,1),(285,1),(287,1),(298,1),(339,1),(354,1),(356,1)}
       325:{1,3,5,7}:{(285,1),(286,1),(293,1),(299,1),(340,1),(348,1),(355,1),(356,1)}
       326:{1,4,7}:{(287,1),(288,1),(300,1),(341,1)}
       327:{1,3,6}:{(289,1),(290,1),(291,1),(357,1)}
       328:{1,2,4,7}:{(290,1),(292,1),(353,1),(357,1),(386,1)}
       329:{2,3,7}:{(291,1),(292,1),(293,1),(357,1)}
       330:{3,4,6}:{(294,1),(296,1),(358,1)}
       331:{3,6,7}:{(295,1),(299,1)}
       332:{2,4,5,6}:{(296,1),(349,1),(358,1),(360,1),(383,1)}
       333:{2,4,6,7}:{(296,1),(297,1),(300,1),(350,1),(359,1),(360,1)}
       334:{3,4,7}:{(298,1),(299,1),(300,1)}
       335:{3,4,5,7}:{(302,1),(305,1),(361,1),(365,1),(387,1)}
       336:{2,4,6,7}:{(301,1),(304,1),(307,1),(362,1)}
       337:{2,4,6}:{(302,1),(303,1),(317,1),(361,1)}
       338:{2,3,5,6,7}:{(303,1),(304,1),(309,1),(318,1),(362,1),(364,1),(370,1),(387,1),(390,1)}
       339:{3,4,6}:{(305,1),(306,1),(308,1),(365,1)}
       340:{3,5,7}:{(306,1),(307,1),(362,1),(365,1)}
       341:{2,4,7}:{(308,1),(309,1),(326,1),(365,1)}
       342:{1,3,5,7}:{(310,1),(311,1),(312,1),(319,1),(366,1),(367,1)}
       343:{1,2,6}:{(311,1),(367,1)}
       344:{2,4,5,7}:{(312,1),(314,1),(321,1),(366,1),(369,1),(376,1),(390,1)}
       345:{2,3,6}:{(312,1),(315,1),(367,1),(369,1)}
       346:{2,6,7}:{(313,1),(323,1)}
       347:{1,3,4,6}:{(314,1),(315,1),(317,1),(330,1),(361,1),(369,1),(371,1)}
       348:{1,3,6,7}:{(315,1),(316,1),(325,1),(331,1),(362,1),(370,1)}
       349:{1,4,5,6}:{(317,1),(332,1),(363,1),(371,1),(373,1),(388,1)}
       350:{1,4,6,7}:{(317,1),(318,1),(326,1),(333,1),(364,1),(373,1)}
       351:{1,4,5}:{(319,1),(321,1),(374,1)}
       352:{1,3,5,6}:{(319,1),(320,1),(322,1),(327,1),(367,1),(374,1),(375,1),(388,1)}
       353:{1,2,5,7}:{(320,1),(323,1),(328,1),(368,1),(375,1)}
       354:{2,4,6}:{(321,1),(322,1),(324,1),(374,1),(376,1)}
       355:{2,3,5,7}:{(322,1),(323,1),(325,1),(329,1),(370,1),(375,1),(376,1),(390,1)}
       356:{1,3,4,7}:{(324,1),(325,1),(326,1),(334,1),(365,1),(376,1)}
       357:{1,3,7}:{(327,1),(328,1),(329,1)}
       358:{3,5,6}:{(330,1),(332,1),(377,1)}
       359:{3,4,6,7}:{(330,1),(331,1),(333,1),(334,1),(377,1)}
       360:{2,4,5,7}:{(332,1),(333,1),(373,1),(377,1),(390,1)}
       361:{3,4,6}:{(335,1),(337,1),(378,1)}
       362:{3,6,7}:{(336,1),(340,1)}
       363:{2,4,5,6}:{(337,1),(349,1),(378,1),(380,1),(383,1)}
       364:{2,4,6,7}:{(337,1),(338,1),(341,1),(350,1),(379,1),(380,1)}
       365:{3,4,7}:{(339,1),(340,1),(341,1)}
       366:{1,4,5,7}:{(342,1),(344,1),(351,1),(381,1),(386,1),(391,1)}
       367:{1,3,6}:{(342,1),(343,1),(345,1),(381,1)}
       368:{1,2,6,7}:{(343,1),(346,1),(353,1),(382,1)}
       369:{2,4,6}:{(344,1),(345,1),(347,1),(381,1),(383,1)}
       370:{2,3,6,7}:{(345,1),(346,1),(348,1),(355,1),(382,1),(384,1)}
       371:{1,3,5,6}:{(347,1),(349,1),(358,1),(378,1),(383,1),(385,1)}
       372:{1,3,4,6,7}:{(347,1),(348,1),(350,1),(356,1),(359,1),(379,1),(384,1),(385,1)}
       373:{1,4,5,7}:{(349,1),(350,1),(360,1),(380,1),(385,1),(391,1)}
       374:{1,4,6}:{(351,1),(352,1),(354,1),(386,1)}
       375:{1,3,5,7}:{(352,1),(353,1),(355,1),(357,1),(382,1),(386,1),(391,1)}
       376:{2,4,7}:{(354,1),(355,1),(356,1),(386,1)}
       377:{3,5,7}:{(358,1),(359,1),(360,1)}
       378:{3,5,6}:{(361,1),(363,1),(387,1)}
       379:{3,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(387,1)}
       380:{2,4,5,7}:{(363,1),(364,1),(373,1),(387,1),(390,1)}
       381:{1,4,6}:{(366,1),(367,1),(369,1),(388,1)}
       382:{1,3,6,7}:{(367,1),(368,1),(370,1),(375,1),(389,1)}
       383:{2,5,6}:{(369,1),(371,1),(388,1),(390,1)}
       384:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(389,1),(390,1)}
       385:{1,3,5,7}:{(371,1),(372,1),(373,1),(377,1),(387,1),(390,1)}
       386:{1,4,7}:{(374,1),(375,1),(376,1)}
       387:{3,5,7}:{(378,1),(379,1),(380,1)}
       388:{1,5,6}:{(381,1),(383,1),(391,1)}
       389:{1,4,6,7}:{(381,1),(382,1),(384,1),(386,1),(391,1)}
       390:{2,5,7}:{(383,1),(384,1),(385,1),(391,1)}
       391:{1,5,7}:{(388,1),(389,1),(390,1)}

2092 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2093 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(81,1),(84,1),(147,1),(222,1),(344,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(60,1),(109,1),(113,1),(186,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(102,1),(260,1),(315,1),(317,1)}
         3:{2,3,4,6,7}:{(5,1),(8,1),(25,1),(27,1),(58,1),(63,1),(109,1),(240,1),(241,1),(312,1)}
         4:{1,2,3,5,6}:{(2,1),(10,1),(12,1),(32,1),(38,1),(73,1),(147,1),(205,1),(221,1),(225,1),(280,1),(282,1)}
         5:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(11,1),(14,1),(35,1),(38,1),(40,1),(82,1),(143,1),(222,1),(223,1),(298,1)}
         6:{1,2,5,7}:{(1,1),(11,1),(12,1),(141,1),(225,1)}
         7:{1,2,4,7}:{(2,1),(10,1),(14,1),(134,1),(298,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(15,1),(16,1),(87,1),(141,1),(279,1)}
         9:{2,3,4,6,7}:{(5,1),(17,1),(25,1),(46,1),(58,1),(94,1),(109,1),(193,1),(194,1),(269,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(18,1),(19,1),(100,1),(245,1),(261,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(8,1),(17,1),(20,1),(21,1),(180,1),(263,1)}
        12:{1,2,5,6}:{(6,1),(20,1),(23,1),(108,1),(113,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(18,1),(21,1),(23,1),(24,1),(56,1)}
        14:{1,3,4,7}:{(7,1),(19,1),(24,1),(25,1),(317,1)}
        15:{2,3,5,6}:{(8,1),(20,1),(27,1),(58,1),(62,1),(108,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(27,1),(28,1),(312,1),(313,1)}
        17:{2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(125,1),(141,1),(233,1)}
        18:{1,2,4,5}:{(10,1),(32,1),(71,1),(225,1),(299,1)}
        19:{1,3,4,6}:{(10,1),(14,1),(32,1),(33,1),(38,1),(282,1),(283,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(15,1),(29,1),(35,1),(38,1),(82,1),(142,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(30,1),(35,1),(298,1),(299,1)}
        22:{1,2,5,6,7}:{(12,1),(34,1),(37,1),(141,1),(146,1),(219,1),(220,1),(229,1),(275,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(35,1),(38,1),(79,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(38,1),(39,1)}
        25:{2,3,4,7}:{(14,1),(33,1),(39,1),(40,1),(134,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(34,1),(42,1),(81,1),(87,1),(141,1),(275,1),(276,1),(338,1)}
        27:{2,4,6}:{(15,1),(16,1),(35,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(87,1),(339,1),(340,1)}
        29:{2,3,5,6}:{(17,1),(20,1),(46,1),(58,1),(93,1),(108,1)}
        30:{2,4,5,7}:{(17,1),(21,1),(46,1),(47,1),(269,1),(270,1)}
        31:{1,2,4,5,6}:{(18,1),(23,1),(49,1),(50,1),(53,1),(100,1),(108,1),(172,1),(181,1),(189,1),(236,1),(242,1),(248,1),(261,1)}
        32:{1,3,5}:{(18,1),(19,1),(51,1)}
        33:{2,3,4,6}:{(19,1),(25,1),(51,1),(52,1),(58,1),(100,1),(250,1),(251,1)}
        34:{1,3,5,6,7}:{(20,1),(22,1),(26,1),(45,1),(54,1),(57,1),(107,1),(112,1),(180,1),(260,1)}
        35:{1,4,6}:{(20,1),(21,1),(27,1),(46,1)}
        36:{1,3,4,5,7}:{(21,1),(24,1),(28,1),(47,1),(48,1),(55,1),(56,1),(99,1),(107,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(49,1),(54,1),(57,1),(109,1),(252,1),(265,1),(308,1),(321,1)}
        38:{1,3,6}:{(23,1),(24,1),(58,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(51,1),(56,1),(58,1),(59,1)}
        40:{1,3,4,7}:{(25,1),(52,1),(59,1),(60,1),(173,1),(255,1)}
        41:{2,4,5,6}:{(27,1),(53,1),(61,1),(62,1),(108,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(54,1),(61,1),(63,1),(312,1)}
        43:{3,4,6}:{(27,1),(28,1),(62,1)}
        44:{2,3,4,5,7}:{(28,1),(56,1),(64,1),(65,1),(97,1),(118,1),(165,1),(167,1),(312,1),(313,1),(363,1),(372,1)}
        45:{2,3,5,6,7}:{(29,1),(34,1),(67,1),(81,1),(125,1),(141,1),(229,1),(230,1),(302,1)}
        46:{2,4,6}:{(29,1),(30,1),(35,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(125,1),(303,1),(304,1)}
        48:{1,3,4,5}:{(32,1),(70,1),(71,1),(299,1),(304,1),(340,1)}
        49:{1,2,4,5,7}:{(31,1),(37,1),(72,1),(76,1),(134,1),(141,1),(212,1),(220,1),(227,1),(273,1),(281,1),(287,1),(298,1)}
        50:{1,3,5,6}:{(31,1),(32,1),(38,1),(70,1),(72,1),(73,1),(228,1),(274,1),(282,1)}
        51:{2,3,5}:{(32,1),(33,1),(71,1),(74,1)}
        52:{1,3,4,6}:{(33,1),(40,1),(74,1),(75,1),(82,1),(135,1),(215,1),(216,1)}
        53:{1,4,5,6}:{(35,1),(41,1),(66,1),(76,1),(77,1),(142,1)}
        54:{1,4,6,7}:{(34,1),(35,1),(42,1),(67,1),(76,1),(298,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(38,1),(43,1),(68,1),(77,1),(79,1)}
        56:{2,4,5,7}:{(36,1),(39,1),(71,1),(79,1),(80,1),(134,1),(141,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(72,1),(81,1),(302,1),(338,1)}
        58:{2,3,6}:{(38,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(74,1),(80,1),(82,1),(83,1)}
        60:{1,2,4,7}:{(40,1),(75,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(76,1),(87,1),(141,1)}
        62:{3,5,6}:{(41,1),(43,1),(87,1)}
        63:{3,4,6,7}:{(42,1),(43,1),(87,1),(338,1),(339,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(79,1),(88,1),(90,1),(202,1),(277,1),(379,1),(385,1)}
        65:{1,3,4,5,7}:{(44,1),(80,1),(90,1),(91,1),(131,1),(145,1),(153,1),(208,1),(298,1),(299,1),(303,1),(304,1),(382,1)}
        66:{2,4,5,6}:{(46,1),(53,1),(92,1),(93,1),(108,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(54,1),(92,1),(94,1),(269,1)}
        68:{3,4,6}:{(46,1),(47,1),(93,1)}
        69:{2,3,4,5,7}:{(47,1),(56,1),(95,1),(96,1),(97,1),(122,1),(161,1),(167,1),(269,1),(270,1),(335,1),(372,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(99,1),(100,1),(261,1),(267,1),(310,1)}
        71:{2,4,5}:{(48,1),(51,1),(100,1),(101,1)}
        72:{1,3,5,7}:{(49,1),(50,1),(57,1),(99,1),(102,1),(266,1),(309,1),(317,1)}
        73:{2,3,5,6}:{(50,1),(51,1),(58,1),(100,1),(102,1),(103,1),(108,1),(248,1),(250,1)}
        74:{1,3,5}:{(51,1),(52,1),(101,1),(104,1)}
        75:{1,2,4,6}:{(52,1),(60,1),(104,1),(105,1),(113,1),(178,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(61,1),(92,1),(107,1),(180,1)}
        77:{1,3,5,6}:{(53,1),(55,1),(62,1),(93,1),(107,1),(108,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(63,1),(94,1),(99,1),(107,1),(109,1)}
        79:{2,4,6}:{(55,1),(56,1),(58,1),(108,1),(110,1)}
        80:{1,4,5,7}:{(56,1),(59,1),(101,1),(110,1),(173,1),(180,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(102,1),(109,1),(112,1),(321,1)}
        82:{1,3,6}:{(58,1),(59,1),(110,1),(113,1)}
        83:{1,2,5,7}:{(59,1),(60,1),(104,1),(113,1)}
        84:{1,2,3,7}:{(60,1),(105,1),(255,1)}
        85:{3,4,5,6}:{(62,1),(115,1),(116,1),(310,1),(387,1)}
        86:{2,4,5,6,7}:{(61,1),(106,1),(117,1),(179,1),(187,1),(308,1),(364,1)}
        87:{3,5,7}:{(61,1),(62,1),(63,1)}
        88:{2,3,5,6}:{(62,1),(64,1),(108,1),(116,1),(118,1),(119,1),(387,1),(390,1)}
        89:{2,3,4,6,7}:{(63,1),(64,1),(109,1),(118,1),(120,1),(167,1),(187,1),(240,1),(246,1),(312,1),(362,1),(371,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(110,1),(119,1),(121,1),(183,1),(261,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(169,1),(191,1),(249,1),(269,1),(270,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(76,1),(125,1),(141,1)}
        93:{3,5,6}:{(66,1),(68,1),(125,1)}
        94:{3,4,6,7}:{(67,1),(68,1),(125,1),(302,1),(303,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(79,1),(126,1),(128,1),(156,1),(231,1),(360,1),(385,1)}
        96:{1,3,4,5,7}:{(69,1),(80,1),(128,1),(129,1),(131,1),(145,1),(199,1),(208,1),(298,1),(299,1),(339,1),(340,1),(382,1)}
        97:{2,3,4,5}:{(71,1),(130,1),(131,1),(210,1),(304,1),(340,1),(352,1)}
        98:{1,3,4,5,6}:{(70,1),(77,1),(85,1),(123,1),(132,1),(133,1),(151,1),(197,1),(207,1),(228,1),(274,1),(293,1),(386,1)}
        99:{1,3,4,7}:{(70,1),(72,1),(134,1),(298,1),(303,1),(339,1)}
       100:{2,4,6}:{(70,1),(71,1),(73,1),(134,1),(135,1)}
       101:{1,4,5}:{(71,1),(74,1),(135,1)}
       102:{2,3,5,7}:{(72,1),(73,1),(81,1),(134,1),(137,1),(141,1),(287,1),(289,1)}
       103:{1,3,5,6}:{(73,1),(74,1),(82,1),(135,1),(137,1),(138,1),(142,1),(215,1)}
       104:{1,2,5}:{(74,1),(75,1)}
       105:{1,2,3,6}:{(75,1),(84,1),(139,1),(215,1)}
       106:{1,4,5,6,7}:{(76,1),(86,1),(124,1),(140,1),(219,1),(226,1),(272,1),(357,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(78,1),(87,1),(125,1),(141,1)}
       108:{2,5,6}:{(77,1),(79,1),(141,1),(142,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(81,1),(134,1),(141,1),(143,1)}
       110:{1,4,6}:{(79,1),(80,1),(82,1),(142,1)}
       111:{1,2,4,5,7}:{(80,1),(83,1),(91,1),(129,1),(136,1),(144,1),(145,1),(148,1),(204,1),(214,1),(220,1),(225,1),(281,1),(298,1),(299,1),(349,1),(382,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(137,1),(143,1),(146,1)}
       113:{1,2,6}:{(82,1),(83,1)}
       114:{1,2,3,5,7}:{(83,1),(84,1),(139,1),(145,1),(147,1),(148,1),(205,1),(225,1),(284,1),(349,1)}
       115:{3,4,5,7}:{(85,1),(87,1),(149,1),(150,1),(339,1),(378,1)}
       116:{2,4,5,6}:{(85,1),(88,1),(150,1),(151,1),(277,1)}
       117:{3,5,6,7}:{(86,1),(87,1),(149,1),(338,1),(378,1)}
       118:{2,3,5,7}:{(87,1),(88,1),(89,1),(141,1),(150,1),(153,1),(378,1),(384,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(142,1),(151,1),(153,1),(154,1),(228,1),(391,1)}
       120:{1,3,4,6,7}:{(89,1),(90,1),(143,1),(153,1),(155,1),(208,1),(222,1),(226,1),(286,1),(298,1),(302,1),(303,1),(381,1)}
       121:{2,4,6}:{(90,1),(91,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(145,1),(156,1),(157,1),(210,1),(233,1),(289,1)}
       123:{3,4,5,6}:{(93,1),(158,1),(159,1),(267,1),(377,1)}
       124:{2,4,5,6,7}:{(92,1),(106,1),(160,1),(179,1),(234,1),(265,1),(336,1)}
       125:{3,5,7}:{(92,1),(93,1),(94,1)}
       126:{2,3,5,6}:{(93,1),(95,1),(108,1),(159,1),(161,1),(162,1),(377,1),(390,1)}
       127:{2,3,4,6,7}:{(94,1),(95,1),(109,1),(161,1),(163,1),(167,1),(193,1),(234,1),(246,1),(269,1),(334,1),(371,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(110,1),(162,1),(164,1),(183,1),(261,1),(310,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(169,1),(238,1),(249,1),(312,1),(313,1)}
       130:{2,3,4,6}:{(97,1),(100,1),(166,1),(167,1),(168,1),(250,1),(267,1),(310,1),(323,1)}
       131:{1,3,4,5}:{(97,1),(101,1),(168,1),(169,1),(175,1),(243,1),(368,1)}
       132:{1,3,4,5,7}:{(98,1),(99,1),(107,1),(115,1),(158,1),(170,1),(171,1),(188,1),(235,1),(247,1),(266,1),(309,1),(327,1),(374,1)}
       133:{2,4,5,6}:{(98,1),(100,1),(108,1),(166,1),(171,1),(172,1),(248,1),(323,1),(390,1)}
       134:{2,4,7}:{(99,1),(100,1),(102,1),(173,1)}
       135:{1,4,6}:{(100,1),(101,1),(103,1),(173,1)}
       136:{1,2,4,5}:{(101,1),(104,1),(169,1),(174,1),(175,1),(178,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(112,1),(173,1),(176,1),(180,1),(255,1)}
       138:{1,2,5,6}:{(103,1),(104,1),(113,1),(174,1),(176,1),(248,1)}
       139:{1,2,3,5}:{(104,1),(105,1),(175,1),(178,1)}
       140:{1,3,5,6,7}:{(106,1),(107,1),(117,1),(160,1),(170,1),(179,1),(374,1)}
       141:{2,5,7}:{(107,1),(108,1),(109,1),(180,1)}
       142:{1,5,6}:{(108,1),(110,1),(180,1)}
       143:{1,4,6,7}:{(109,1),(110,1),(112,1),(173,1),(180,1)}
       144:{1,2,4,6}:{(110,1),(111,1),(113,1),(121,1),(164,1),(181,1),(183,1),(261,1),(370,1),(389,1)}
       145:{1,3,5,7}:{(111,1),(122,1),(165,1),(175,1),(183,1),(184,1),(243,1),(255,1),(263,1),(317,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(176,1),(321,1)}
       147:{1,2,3,6}:{(113,1),(114,1),(183,1),(186,1),(370,1)}
       148:{1,2,4,7}:{(114,1),(178,1),(184,1),(186,1),(245,1)}
       149:{3,4,6,7}:{(115,1),(117,1),(187,1)}
       150:{2,4,5,7}:{(115,1),(116,1),(118,1),(187,1),(188,1),(312,1)}
       151:{1,4,5,6}:{(116,1),(119,1),(188,1),(189,1),(261,1)}
       152:{2,3,5,6,7}:{(117,1),(118,1),(179,1),(187,1),(190,1),(246,1)}
       153:{1,3,5,7}:{(118,1),(119,1),(120,1),(180,1),(188,1),(191,1),(266,1),(388,1)}
       154:{2,5,6}:{(119,1),(121,1),(191,1)}
       155:{2,4,6,7}:{(120,1),(121,1),(191,1),(193,1),(249,1),(269,1),(321,1)}
       156:{2,3,6}:{(121,1),(122,1),(183,1)}
       157:{2,3,4,7}:{(122,1),(184,1),(194,1),(251,1),(269,1)}
       158:{3,4,5,7}:{(123,1),(125,1),(195,1),(196,1),(303,1),(359,1)}
       159:{2,4,5,6}:{(123,1),(126,1),(196,1),(197,1),(231,1)}
       160:{3,5,6,7}:{(124,1),(125,1),(195,1),(302,1),(359,1)}
       161:{2,3,5,7}:{(125,1),(126,1),(127,1),(141,1),(196,1),(199,1),(359,1),(384,1)}
       162:{1,3,5,6}:{(126,1),(128,1),(142,1),(197,1),(199,1),(200,1),(274,1),(391,1)}
       163:{1,3,4,6,7}:{(127,1),(128,1),(143,1),(199,1),(201,1),(208,1),(222,1),(272,1),(286,1),(298,1),(338,1),(339,1),(381,1)}
       164:{2,4,6}:{(128,1),(129,1),(200,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(145,1),(202,1),(203,1),(210,1),(279,1),(289,1)}
       166:{2,3,5,6}:{(130,1),(133,1),(206,1),(207,1),(228,1),(274,1)}
       167:{2,3,4,7}:{(130,1),(134,1),(206,1),(208,1),(289,1),(303,1),(339,1),(351,1)}
       168:{1,3,4,6}:{(130,1),(131,1),(135,1),(207,1),(208,1),(209,1),(215,1),(282,1),(346,1)}
       169:{2,4,5}:{(131,1),(209,1),(210,1)}
       170:{1,3,4,6,7}:{(132,1),(140,1),(149,1),(195,1),(211,1),(226,1),(272,1),(286,1),(302,1),(338,1)}
       171:{2,4,5,7}:{(132,1),(133,1),(134,1),(141,1),(206,1),(211,1),(212,1),(287,1),(351,1),(384,1)}
       172:{1,4,5,6}:{(133,1),(135,1),(142,1),(207,1),(212,1),(346,1),(391,1)}
       173:{1,4,7}:{(134,1),(135,1),(137,1)}
       174:{1,2,4,6}:{(135,1),(136,1),(138,1),(209,1),(214,1),(215,1)}
       175:{1,3,5}:{(136,1),(210,1),(215,1),(216,1)}
       176:{1,2,5,7}:{(137,1),(138,1),(146,1),(214,1),(287,1)}
       177:{1,2,3,5,6}:{(138,1),(139,1),(147,1),(215,1),(217,1),(218,1),(221,1),(225,1),(288,1),(295,1),(301,1),(356,1)}
       178:{1,2,4}:{(139,1),(216,1)}
       179:{2,5,6,7}:{(140,1),(141,1),(211,1),(219,1),(384,1)}
       180:{1,5,7}:{(141,1),(142,1),(143,1)}
       181:{1,2,5,6}:{(142,1),(144,1),(154,1),(200,1),(220,1),(221,1),(225,1),(391,1)}
       182:{1,2,4,6,7}:{(143,1),(144,1),(146,1),(155,1),(201,1),(214,1),(220,1),(222,1),(281,1),(298,1),(344,1),(381,1)}
       183:{1,3,6}:{(144,1),(145,1),(156,1),(202,1)}
       184:{1,3,4,7}:{(145,1),(148,1),(157,1),(203,1),(216,1),(223,1),(283,1),(298,1)}
       185:{1,2,3,6,7}:{(146,1),(147,1),(217,1),(222,1),(224,1),(284,1),(350,1),(356,1)}
       186:{1,2,4,6}:{(147,1),(148,1),(223,1),(225,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(152,1),(226,1)}
       188:{1,4,5,7}:{(150,1),(151,1),(153,1),(226,1),(227,1),(298,1)}
       189:{2,4,5,6}:{(151,1),(154,1),(227,1),(228,1),(231,1)}
       190:{1,3,5,6,7}:{(152,1),(153,1),(219,1),(226,1),(229,1),(286,1),(302,1)}
       191:{2,5,7}:{(153,1),(154,1),(155,1)}
       192:{2,3,5,6}:{(154,1),(156,1),(221,1),(228,1),(230,1),(231,1),(233,1)}
       193:{2,3,6,7}:{(155,1),(156,1),(222,1),(230,1),(289,1),(302,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(223,1),(231,1),(233,1)}
       195:{3,4,6,7}:{(158,1),(160,1),(234,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(161,1),(234,1),(235,1),(269,1)}
       197:{1,4,5,6}:{(159,1),(162,1),(235,1),(236,1),(261,1)}
       198:{2,3,5,6,7}:{(160,1),(161,1),(179,1),(234,1),(237,1),(246,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(163,1),(180,1),(235,1),(238,1),(309,1),(388,1)}
       200:{2,5,6}:{(162,1),(164,1),(238,1)}
       201:{2,4,6,7}:{(163,1),(164,1),(238,1),(240,1),(249,1),(312,1),(321,1)}
       202:{2,3,6}:{(164,1),(165,1),(183,1)}
       203:{2,3,4,7}:{(165,1),(184,1),(241,1),(251,1),(312,1)}
       204:{1,2,4,5}:{(169,1),(242,1),(243,1),(245,1),(320,1),(368,1)}
       205:{1,2,3,5}:{(243,1),(244,1),(245,1),(320,1)}
       206:{2,3,5,7}:{(166,1),(167,1),(171,1),(246,1),(247,1),(266,1),(309,1)}
       207:{1,3,5,6}:{(166,1),(168,1),(172,1),(247,1),(248,1)}
       208:{1,3,4,7}:{(167,1),(168,1),(173,1),(247,1),(249,1),(255,1),(317,1),(367,1)}
       209:{2,4,6}:{(168,1),(169,1),(248,1),(249,1),(250,1)}
       210:{2,3,5}:{(169,1),(175,1),(243,1),(250,1),(251,1)}
       211:{2,4,6,7}:{(170,1),(171,1),(179,1),(246,1),(252,1),(321,1)}
       212:{1,4,5,7}:{(171,1),(172,1),(173,1),(180,1),(247,1),(252,1),(367,1),(388,1)}
       213:{1,2,4,5,6}:{(172,1),(174,1),(181,1),(189,1),(236,1),(248,1),(253,1),(254,1),(258,1),(261,1),(323,1),(330,1),(376,1),(390,1)}
       214:{1,2,4,7}:{(173,1),(174,1),(176,1),(249,1),(255,1)}
       215:{1,3,6}:{(174,1),(175,1),(250,1),(255,1)}
       216:{1,3,4}:{(175,1),(178,1),(251,1)}
       217:{1,2,3,5,7}:{(176,1),(177,1),(185,1),(255,1),(257,1),(260,1),(264,1),(322,1),(329,1)}
       218:{1,2,4,6}:{(177,1),(178,1),(256,1),(257,1),(258,1),(261,1),(323,1)}
       219:{1,5,6,7}:{(179,1),(180,1),(252,1),(388,1)}
       220:{1,2,5,7}:{(180,1),(181,1),(182,1),(191,1),(238,1),(260,1),(388,1)}
       221:{1,3,5,6}:{(181,1),(183,1),(192,1),(239,1),(260,1),(261,1),(263,1)}
       222:{1,3,6,7}:{(182,1),(183,1),(193,1),(240,1),(255,1),(260,1),(317,1)}
       223:{1,3,4,6}:{(183,1),(184,1),(186,1),(194,1),(241,1),(261,1),(263,1)}
       224:{1,2,4,6,7}:{(185,1),(186,1),(257,1),(262,1),(264,1),(319,1),(330,1),(370,1),(371,1)}
       225:{1,2,5}:{(186,1),(263,1)}
       226:{1,4,6,7}:{(187,1),(188,1),(190,1),(265,1)}
       227:{2,4,5,7}:{(188,1),(189,1),(191,1),(265,1),(266,1),(269,1)}
       228:{3,5,6}:{(189,1),(266,1),(267,1)}
       229:{2,5,6,7}:{(190,1),(191,1),(265,1),(321,1)}
       230:{2,3,5,7}:{(191,1),(192,1),(193,1),(260,1),(266,1),(269,1)}
       231:{2,4,6}:{(192,1),(261,1),(267,1),(269,1),(270,1)}
       232:{2,3,4,6,7}:{(193,1),(194,1),(262,1),(269,1),(271,1),(324,1),(334,1),(337,1),(371,1),(373,1)}
       233:{2,3,5}:{(194,1),(263,1),(270,1)}
       234:{2,4,6,7}:{(195,1),(196,1),(198,1),(272,1)}
       235:{1,4,5,7}:{(196,1),(197,1),(199,1),(272,1),(273,1),(298,1)}
       236:{2,4,5,6}:{(197,1),(200,1),(273,1),(274,1),(277,1)}
       237:{1,3,5,6,7}:{(198,1),(199,1),(219,1),(272,1),(275,1),(286,1),(338,1)}
       238:{2,5,7}:{(199,1),(200,1),(201,1)}
       239:{2,3,5,6}:{(200,1),(202,1),(221,1),(274,1),(276,1),(277,1),(279,1)}
       240:{2,3,6,7}:{(201,1),(202,1),(222,1),(276,1),(289,1),(338,1)}
       241:{2,3,4,6}:{(202,1),(203,1),(223,1),(277,1),(279,1)}
       242:{1,2,4,6}:{(204,1),(209,1),(280,1),(281,1),(282,1),(346,1)}
       243:{1,3,5}:{(204,1),(210,1),(282,1),(283,1)}
       244:{1,2,3,6}:{(205,1),(282,1),(284,1),(285,1)}
       245:{1,2,4}:{(205,1),(283,1)}
       246:{2,3,6,7}:{(206,1),(211,1),(286,1),(302,1),(338,1)}
       247:{1,3,5,7}:{(206,1),(207,1),(208,1),(212,1),(286,1),(287,1)}
       248:{2,5,6}:{(207,1),(209,1),(287,1)}
       249:{2,4,7}:{(208,1),(209,1),(287,1),(289,1)}
       250:{2,3,6}:{(209,1),(210,1),(215,1),(282,1),(289,1)}
       251:{2,3,4}:{(210,1),(216,1),(283,1)}
       252:{1,4,6,7}:{(211,1),(212,1),(219,1),(286,1)}
       253:{1,2,4,5,7}:{(212,1),(213,1),(214,1),(220,1),(227,1),(273,1),(287,1),(291,1),(292,1),(298,1),(351,1),(357,1),(384,1)}
       254:{1,3,5,6}:{(213,1),(215,1),(228,1),(274,1),(288,1),(292,1),(293,1),(295,1),(356,1)}
       255:{1,3,7}:{(214,1),(215,1),(289,1)}
       256:{1,3,4,6}:{(215,1),(216,1),(218,1),(290,1),(294,1),(295,1),(356,1)}
       257:{1,2,4,7}:{(217,1),(218,1),(294,1),(298,1),(351,1)}
       258:{1,2,4,5}:{(218,1),(225,1),(295,1),(299,1),(352,1)}
       259:{1,2,5,6,7}:{(219,1),(220,1),(229,1),(275,1),(291,1),(297,1),(301,1),(344,1),(384,1)}
       260:{1,3,5,7}:{(220,1),(221,1),(222,1),(230,1),(276,1),(298,1)}
       261:{1,4,6}:{(221,1),(231,1),(277,1),(298,1),(299,1)}
       262:{1,3,4,6,7}:{(222,1),(223,1),(224,1),(232,1),(278,1),(294,1),(298,1),(300,1),(347,1),(356,1),(358,1),(381,1),(383,1)}
       263:{1,3,5}:{(223,1),(225,1),(233,1),(279,1),(299,1)}
       264:{1,2,5,7}:{(224,1),(225,1),(300,1),(301,1),(384,1)}
       265:{2,4,6,7}:{(226,1),(227,1),(229,1),(302,1)}
       266:{3,5,7}:{(227,1),(228,1),(302,1),(303,1)}
       267:{3,4,6}:{(228,1),(231,1),(303,1),(304,1)}
       268:{2,3,5,6,7}:{(229,1),(230,1),(297,1),(302,1),(305,1),(307,1),(350,1),(359,1),(384,1)}
       269:{2,4,7}:{(230,1),(231,1),(298,1),(303,1)}
       270:{2,4,5}:{(231,1),(233,1),(299,1),(304,1)}
       271:{2,3,5,7}:{(232,1),(233,1),(300,1),(306,1),(307,1),(359,1),(384,1)}
       272:{1,4,6,7}:{(234,1),(235,1),(237,1),(308,1)}
       273:{2,4,5,7}:{(235,1),(236,1),(238,1),(308,1),(309,1),(312,1)}
       274:{3,5,6}:{(236,1),(309,1),(310,1)}
       275:{2,5,6,7}:{(237,1),(238,1),(308,1),(321,1)}
       276:{2,3,5,7}:{(238,1),(239,1),(240,1),(260,1),(309,1),(312,1)}
       277:{2,4,6}:{(239,1),(261,1),(310,1),(312,1),(313,1)}
       278:{2,3,4,6,7}:{(240,1),(241,1),(262,1),(312,1),(314,1),(324,1),(362,1),(365,1),(371,1),(373,1)}
       279:{2,3,5}:{(241,1),(263,1),(313,1)}
       280:{1,2,5,6}:{(242,1),(248,1),(315,1),(316,1),(320,1),(370,1)}
       281:{1,2,4,7}:{(242,1),(249,1),(315,1),(317,1),(367,1)}
       282:{1,3,6}:{(242,1),(243,1),(250,1),(317,1)}
       283:{1,3,4}:{(243,1),(245,1),(251,1)}
       284:{1,2,3,7}:{(244,1),(317,1),(319,1)}
       285:{1,2,4,6}:{(244,1),(245,1),(318,1),(319,1),(320,1),(370,1)}
       286:{1,3,6,7}:{(246,1),(247,1),(252,1),(321,1)}
       287:{2,5,7}:{(247,1),(248,1),(249,1),(321,1)}
       288:{2,3,5,6}:{(248,1),(250,1),(254,1),(316,1),(322,1),(323,1),(325,1),(373,1),(390,1)}
       289:{2,3,7}:{(249,1),(250,1),(255,1),(317,1)}
       290:{2,3,4,6}:{(250,1),(251,1),(256,1),(318,1),(323,1),(324,1),(325,1),(373,1)}
       291:{1,2,4,6,7}:{(252,1),(253,1),(259,1),(265,1),(308,1),(321,1),(326,1),(330,1),(331,1),(371,1)}
       292:{1,3,5,7}:{(253,1),(254,1),(255,1),(266,1),(309,1),(322,1),(326,1),(327,1)}
       293:{1,3,4,6}:{(254,1),(261,1),(267,1),(310,1),(323,1),(327,1),(328,1)}
       294:{1,3,4,7}:{(255,1),(256,1),(257,1),(324,1),(329,1)}
       295:{1,3,5}:{(256,1),(258,1),(325,1)}
       296:{1,2,4,5,7}:{(257,1),(258,1),(264,1),(329,1),(330,1),(332,1),(372,1)}
       297:{1,3,5,6,7}:{(259,1),(260,1),(268,1),(311,1),(326,1),(331,1),(333,1),(366,1),(374,1),(388,1)}
       298:{1,4,7}:{(260,1),(261,1),(269,1),(312,1)}
       299:{1,4,5}:{(261,1),(263,1),(270,1),(313,1)}
       300:{1,3,5,7}:{(262,1),(263,1),(264,1),(271,1),(314,1),(332,1),(333,1),(388,1)}
       301:{1,2,5,6}:{(264,1),(330,1),(333,1),(370,1),(390,1)}
       302:{3,6,7}:{(265,1),(266,1)}
       303:{3,4,7}:{(266,1),(267,1),(269,1)}
       304:{3,4,5}:{(267,1),(270,1)}
       305:{2,4,6,7}:{(268,1),(269,1),(331,1),(334,1),(336,1),(337,1)}
       306:{2,4,5,7}:{(269,1),(270,1),(271,1),(332,1),(335,1),(337,1)}
       307:{2,3,5,6}:{(271,1),(333,1),(337,1),(373,1),(377,1),(390,1)}
       308:{2,4,6,7}:{(272,1),(273,1),(275,1),(338,1)}
       309:{3,5,7}:{(273,1),(274,1),(338,1),(339,1)}
       310:{3,4,6}:{(274,1),(277,1),(339,1),(340,1)}
       311:{2,3,5,6,7}:{(275,1),(276,1),(297,1),(338,1),(341,1),(343,1),(350,1),(378,1),(384,1)}
       312:{2,4,7}:{(276,1),(277,1),(298,1),(339,1)}
       313:{2,4,5}:{(277,1),(279,1),(299,1),(340,1)}
       314:{2,3,5,7}:{(278,1),(279,1),(300,1),(342,1),(343,1),(378,1),(384,1)}
       315:{1,2,5,7}:{(280,1),(281,1),(287,1),(344,1),(345,1)}
       316:{1,3,5,6}:{(280,1),(282,1),(288,1),(345,1),(346,1),(348,1),(383,1),(391,1)}
       317:{1,3,7}:{(281,1),(282,1),(289,1)}
       318:{1,3,4,6}:{(282,1),(283,1),(285,1),(290,1),(346,1),(347,1),(348,1),(383,1)}
       319:{1,2,4,7}:{(284,1),(285,1),(347,1),(349,1)}
       320:{1,2,5}:{(285,1),(348,1)}
       321:{2,6,7}:{(286,1),(287,1)}
       322:{2,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(345,1),(350,1),(351,1),(384,1)}
       323:{2,4,6}:{(288,1),(293,1),(346,1),(351,1),(352,1)}
       324:{2,3,4,7}:{(289,1),(290,1),(294,1),(347,1),(351,1),(353,1)}
       325:{2,3,5}:{(290,1),(295,1),(348,1),(352,1)}
       326:{1,3,6,7}:{(291,1),(292,1),(302,1),(338,1),(350,1),(356,1)}
       327:{1,3,4,7}:{(292,1),(293,1),(298,1),(303,1),(339,1),(351,1)}
       328:{1,3,4,5}:{(293,1),(295,1),(299,1),(304,1),(340,1),(352,1)}
       329:{1,3,5,7}:{(294,1),(295,1),(296,1),(353,1),(356,1)}
       330:{1,2,4,6}:{(296,1),(301,1),(356,1),(358,1),(385,1)}
       331:{1,4,6,7}:{(297,1),(298,1),(305,1),(341,1),(357,1),(358,1)}
       332:{1,4,5,7}:{(298,1),(299,1),(300,1),(306,1),(342,1),(358,1)}
       333:{1,3,5,6}:{(300,1),(301,1),(307,1),(343,1),(356,1),(358,1),(383,1),(391,1)}
       334:{3,4,6,7}:{(302,1),(303,1),(305,1),(359,1),(360,1)}
       335:{3,4,5,7}:{(303,1),(304,1),(306,1),(359,1),(360,1)}
       336:{2,4,5,7}:{(305,1),(357,1),(359,1),(361,1),(384,1)}
       337:{2,4,6}:{(306,1),(307,1),(358,1),(360,1)}
       338:{3,6,7}:{(308,1),(309,1)}
       339:{3,4,7}:{(309,1),(310,1),(312,1)}
       340:{3,4,5}:{(310,1),(313,1)}
       341:{2,4,6,7}:{(311,1),(312,1),(331,1),(362,1),(364,1),(365,1)}
       342:{2,4,5,7}:{(312,1),(313,1),(314,1),(332,1),(363,1),(365,1)}
       343:{2,3,5,6}:{(314,1),(333,1),(365,1),(373,1),(387,1),(390,1)}
       344:{1,2,6,7}:{(315,1),(321,1),(366,1),(370,1)}
       345:{1,3,5,7}:{(315,1),(316,1),(317,1),(322,1),(366,1),(367,1),(388,1)}
       346:{1,4,6}:{(316,1),(323,1),(367,1),(368,1)}
       347:{1,3,4,7}:{(317,1),(318,1),(319,1),(324,1),(367,1),(369,1)}
       348:{1,3,5}:{(318,1),(320,1),(325,1),(368,1)}
       349:{1,2,5,7}:{(319,1),(320,1),(369,1),(370,1)}
       350:{2,3,6,7}:{(321,1),(322,1),(326,1),(366,1),(371,1),(373,1)}
       351:{2,4,7}:{(322,1),(323,1),(327,1),(367,1)}
       352:{2,4,5}:{(323,1),(325,1),(328,1),(368,1)}
       353:{2,3,5,7}:{(324,1),(325,1),(329,1),(369,1),(372,1),(373,1)}
       354:{1,3,4,6,7}:{(326,1),(327,1),(331,1),(334,1),(362,1),(371,1),(374,1),(375,1)}
       355:{1,3,4,5,7}:{(327,1),(328,1),(329,1),(332,1),(335,1),(363,1),(372,1),(374,1),(375,1)}
       356:{1,3,6}:{(329,1),(330,1),(373,1)}
       357:{1,4,5,7}:{(331,1),(336,1),(364,1),(374,1),(376,1),(388,1)}
       358:{1,4,6}:{(332,1),(333,1),(337,1),(365,1)}
       359:{3,5,7}:{(334,1),(336,1),(377,1)}
       360:{3,4,6}:{(335,1),(337,1),(377,1)}
       361:{2,4,5,6}:{(336,1),(337,1),(376,1),(377,1),(390,1)}
       362:{3,4,6,7}:{(338,1),(339,1),(341,1),(378,1),(379,1)}
       363:{3,4,5,7}:{(339,1),(340,1),(342,1),(378,1),(379,1)}
       364:{2,4,5,7}:{(341,1),(357,1),(378,1),(380,1),(384,1)}
       365:{2,4,6}:{(342,1),(343,1),(358,1),(379,1)}
       366:{1,3,6,7}:{(344,1),(345,1),(350,1),(381,1),(383,1)}
       367:{1,4,7}:{(345,1),(346,1),(351,1)}
       368:{1,4,5}:{(346,1),(348,1),(352,1)}
       369:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(382,1),(383,1)}
       370:{1,2,6}:{(349,1),(383,1)}
       371:{2,4,6,7}:{(350,1),(351,1),(354,1),(381,1),(384,1),(385,1)}
       372:{2,4,5,7}:{(351,1),(352,1),(353,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(353,1),(356,1),(383,1),(385,1)}
       374:{1,3,5,7}:{(354,1),(357,1),(359,1),(378,1),(384,1),(386,1)}
       375:{1,3,4,6}:{(355,1),(356,1),(358,1),(360,1),(379,1),(385,1),(386,1)}
       376:{1,4,5,6}:{(357,1),(358,1),(361,1),(380,1),(386,1),(391,1)}
       377:{3,5,6}:{(359,1),(360,1),(361,1)}
       378:{3,5,7}:{(362,1),(364,1),(387,1)}
       379:{3,4,6}:{(363,1),(365,1),(387,1)}
       380:{2,4,5,6}:{(364,1),(365,1),(376,1),(387,1),(390,1)}
       381:{1,4,6,7}:{(366,1),(367,1),(371,1),(388,1),(389,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(369,1),(372,1),(388,1),(389,1)}
       383:{1,3,6}:{(369,1),(370,1),(373,1),(389,1)}
       384:{2,5,7}:{(371,1),(374,1),(388,1),(390,1)}
       385:{2,4,6}:{(372,1),(373,1),(375,1),(389,1),(390,1)}
       386:{1,3,5,6}:{(374,1),(375,1),(376,1),(377,1),(387,1),(390,1)}
       387:{3,5,6}:{(378,1),(379,1),(380,1)}
       388:{1,5,7}:{(381,1),(384,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{2,5,6}:{(384,1),(385,1),(386,1),(391,1)}
       391:{1,5,6}:{(388,1),(389,1),(390,1)}

2094 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(26,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(68,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(29,1),(64,1)}
         4:{2,3,4,6}:{(7,1),(9,1),(10,1),(25,1),(35,1),(36,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(15,1),(16,1),(87,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(11,1),(13,1),(15,1),(17,1),(41,1),(45,1),(48,1),(50,1),(86,1)}
         8:{1,2,5}:{(3,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(19,1),(57,1),(89,1)}
        10:{2,3,5}:{(4,1),(17,1),(20,1)}
        11:{2,3,4,6}:{(7,1),(22,1),(23,1),(25,1),(60,1),(61,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(8,1),(26,1),(27,1),(30,1),(65,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(9,1),(22,1),(28,1),(68,1),(72,1),(107,1)}
        16:{1,2,5,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{1,3,5}:{(7,1),(8,1),(10,1),(23,1),(30,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(29,1),(31,1),(32,1),(64,1),(108,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(28,1),(34,1),(35,1)}
        20:{2,4,5}:{(10,1),(30,1),(33,1),(36,1)}
        21:{2,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(37,1),(66,1),(74,1),(76,1),(108,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(84,1),(89,1)}
        23:{2,3,5}:{(11,1),(17,1),(39,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(18,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(17,1),(19,1),(38,1),(47,1),(48,1)}
        29:{1,2,6}:{(16,1),(48,1)}
        30:{1,4,5}:{(17,1),(20,1),(39,1),(50,1)}
        31:{1,3,5,6}:{(17,1),(18,1),(21,1),(40,1),(45,1),(48,1),(50,1),(51,1),(86,1),(92,1),(122,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(49,1),(51,1),(87,1),(124,1)}
        33:{3,4,5}:{(20,1),(53,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(47,1),(52,1),(54,1),(57,1),(98,1)}
        35:{2,3,6}:{(19,1),(48,1),(54,1)}
        36:{2,4,6}:{(20,1),(21,1),(50,1),(53,1),(57,1)}
        37:{2,3,5,7}:{(21,1),(51,1),(55,1),(57,1),(89,1),(97,1),(98,1),(124,1)}
        38:{2,3,5,7}:{(22,1),(23,1),(28,1),(59,1),(60,1)}
        39:{2,4,5}:{(23,1),(30,1),(58,1),(61,1)}
        40:{2,3,5,6}:{(23,1),(31,1),(60,1),(61,1),(62,1),(66,1),(101,1),(103,1),(108,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(30,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(32,1),(68,1),(72,1),(109,1)}
        47:{1,4,5,7}:{(28,1),(30,1),(34,1),(59,1),(69,1),(72,1),(111,1)}
        48:{1,3,6}:{(28,1),(29,1),(35,1),(60,1),(69,1)}
        49:{1,2,6,7}:{(29,1),(32,1),(70,1),(134,1)}
        50:{1,4,6}:{(30,1),(31,1),(36,1),(61,1),(72,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(37,1),(62,1),(68,1),(70,1),(72,1),(107,1),(111,1),(133,1)}
        52:{3,4,5,7}:{(33,1),(34,1),(73,1),(75,1),(114,1)}
        53:{3,4,6}:{(33,1),(36,1),(74,1),(75,1)}
        54:{2,4,6}:{(34,1),(35,1),(69,1),(73,1),(76,1)}
        55:{2,3,6,7}:{(35,1),(37,1),(70,1),(77,1),(115,1),(134,1)}
        56:{2,4,5,6}:{(36,1),(71,1),(74,1),(76,1),(78,1),(108,1),(113,1)}
        57:{2,4,7}:{(36,1),(37,1),(72,1),(75,1)}
        58:{3,4,5}:{(39,1),(80,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(47,1),(79,1),(81,1),(84,1),(120,1)}
        60:{2,3,6}:{(38,1),(48,1),(81,1)}
        61:{2,4,6}:{(39,1),(40,1),(50,1),(80,1),(84,1)}
        62:{2,3,5,7}:{(40,1),(51,1),(82,1),(84,1),(89,1),(119,1),(120,1),(124,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(50,1),(53,1),(80,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,6}:{(47,1),(48,1),(54,1),(81,1),(92,1)}
        70:{1,3,6,7}:{(48,1),(49,1),(51,1),(55,1),(82,1),(93,1),(138,1)}
        71:{1,4,5,6}:{(50,1),(56,1),(83,1),(90,1),(92,1),(94,1),(122,1)}
        72:{1,4,7}:{(50,1),(51,1),(57,1),(84,1)}
        73:{3,4,6}:{(52,1),(54,1),(95,1)}
        74:{3,5,6}:{(53,1),(56,1),(97,1)}
        75:{3,4,7}:{(53,1),(57,1),(97,1)}
        76:{2,5,6}:{(54,1),(92,1),(95,1),(98,1)}
        77:{2,4,6,7}:{(54,1),(55,1),(57,1),(93,1),(96,1),(98,1)}
        78:{2,4,5,7}:{(56,1),(57,1),(94,1),(97,1),(98,1),(99,1),(124,1),(127,1)}
        79:{3,4,5,7}:{(58,1),(59,1),(100,1),(102,1),(130,1)}
        80:{3,4,6}:{(58,1),(61,1),(101,1),(102,1)}
        81:{2,4,6}:{(59,1),(60,1),(69,1),(100,1),(103,1)}
        82:{2,3,6,7}:{(60,1),(62,1),(70,1),(104,1),(131,1),(134,1)}
        83:{2,4,5,6}:{(61,1),(71,1),(101,1),(103,1),(105,1),(108,1),(129,1)}
        84:{2,4,7}:{(61,1),(62,1),(72,1),(102,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(71,1),(74,1),(101,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(72,1),(75,1),(102,1),(109,1),(110,1)}
        92:{1,5,6}:{(69,1),(76,1),(103,1),(111,1)}
        93:{1,4,6,7}:{(69,1),(70,1),(72,1),(77,1),(104,1),(111,1)}
        94:{1,4,5,7}:{(71,1),(72,1),(78,1),(105,1),(110,1),(111,1),(112,1),(133,1)}
        95:{3,5,6}:{(73,1),(76,1),(113,1),(114,1)}
        96:{3,4,6,7}:{(73,1),(75,1),(77,1),(114,1),(115,1),(135,1)}
        97:{3,5,7}:{(74,1),(75,1),(78,1),(115,1)}
        98:{2,5,7}:{(76,1),(77,1),(111,1),(114,1)}
        99:{2,4,6,7}:{(78,1),(112,1),(115,1),(116,1),(134,1),(135,1)}
       100:{3,4,6}:{(79,1),(81,1),(117,1)}
       101:{3,5,6}:{(80,1),(83,1),(119,1)}
       102:{3,4,7}:{(80,1),(84,1),(119,1)}
       103:{2,5,6}:{(81,1),(92,1),(117,1),(120,1)}
       104:{2,4,6,7}:{(81,1),(82,1),(84,1),(93,1),(118,1),(120,1)}
       105:{2,4,5,7}:{(83,1),(84,1),(94,1),(119,1),(120,1),(121,1),(124,1),(136,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(94,1),(97,1),(119,1),(124,1),(125,1)}
       111:{1,5,7}:{(92,1),(93,1),(98,1),(120,1)}
       112:{1,4,6,7}:{(94,1),(99,1),(121,1),(125,1),(126,1),(138,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(98,1),(127,1)}
       115:{3,6,7}:{(97,1),(99,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(128,1)}
       117:{3,5,6}:{(100,1),(103,1),(129,1),(130,1)}
       118:{3,4,6,7}:{(100,1),(102,1),(104,1),(130,1),(131,1),(139,1)}
       119:{3,5,7}:{(101,1),(102,1),(105,1),(131,1)}
       120:{2,5,7}:{(103,1),(104,1),(111,1),(130,1)}
       121:{2,4,6,7}:{(105,1),(112,1),(131,1),(132,1),(134,1),(139,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(112,1),(115,1),(131,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{4,5,7}:{(113,1),(114,1),(135,1)}
       128:{3,5,6,7}:{(114,1),(115,1),(116,1),(135,1)}
       129:{4,5,6}:{(117,1),(136,1)}
       130:{3,5,7}:{(117,1),(118,1),(120,1),(136,1)}
       131:{3,6,7}:{(119,1),(121,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(137,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{4,5,7}:{(129,1),(130,1),(139,1)}
       137:{3,5,6,7}:{(130,1),(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

2095 :   0:{1,2,3,7}:{(1,1),(2,1),(84,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(21,1),(61,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(6,1),(7,1),(102,1)}
         3:{2,3,4,7}:{(6,1),(8,1),(9,1),(71,1),(104,1)}
         4:{1,2,3,5}:{(1,1),(11,1),(13,1),(39,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(15,1),(37,1),(80,1)}
         6:{1,3,4,7}:{(2,1),(3,1),(10,1),(12,1),(14,1),(84,1),(86,1),(120,1)}
         7:{1,2,5,7}:{(2,1),(13,1),(14,1),(15,1)}
         8:{2,3,4,6}:{(3,1),(12,1),(16,1),(18,1),(38,1),(48,1),(82,1)}
         9:{2,3,5,7}:{(3,1),(14,1),(16,1),(17,1),(18,1)}
        10:{2,3,4,7}:{(6,1),(19,1),(20,1),(98,1),(104,1)}
        11:{1,2,4}:{(4,1),(22,1)}
        12:{1,3,4,6}:{(5,1),(6,1),(8,1),(19,1),(22,1),(24,1),(27,1),(57,1),(61,1),(63,1),(101,1)}
        13:{1,2,5}:{(5,1),(24,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(9,1),(20,1),(24,1),(26,1),(27,1)}
        15:{1,2,6}:{(7,1),(27,1)}
        16:{2,3,5}:{(8,1),(24,1),(30,1)}
        17:{2,4,5,7}:{(9,1),(26,1),(29,1),(30,1),(32,1),(71,1),(72,1)}
        18:{2,3,6}:{(9,1),(27,1),(32,1)}
        19:{2,3,4,6}:{(10,1),(12,1),(34,1),(36,1),(38,1),(75,1),(82,1)}
        20:{2,3,5,7}:{(10,1),(14,1),(34,1),(35,1),(36,1)}
        21:{1,2,3}:{(37,1)}
        22:{1,3,4}:{(11,1),(38,1),(39,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(39,1),(40,1),(41,1),(81,1)}
        24:{1,3,5}:{(12,1),(13,1),(16,1),(34,1),(41,1)}
        25:{1,2,5,6}:{(13,1),(15,1),(40,1),(42,1),(43,1),(80,1),(121,1)}
        26:{1,4,5,7}:{(14,1),(17,1),(35,1),(41,1),(44,1),(86,1),(87,1)}
        27:{1,3,6}:{(14,1),(15,1),(18,1),(36,1),(44,1)}
        28:{1,2,6,7}:{(15,1),(43,1),(45,1),(138,1)}
        29:{3,4,5,7}:{(17,1),(46,1),(47,1),(89,1),(91,1)}
        30:{2,4,5}:{(16,1),(41,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(16,1),(18,1),(42,1),(48,1),(49,1),(50,1),(82,1),(90,1),(121,1)}
        32:{2,4,6}:{(17,1),(18,1),(44,1),(46,1),(50,1)}
        33:{2,3,6,7}:{(18,1),(45,1),(49,1),(51,1),(126,1),(138,1)}
        34:{2,3,5}:{(19,1),(24,1),(53,1)}
        35:{2,4,5,7}:{(20,1),(26,1),(52,1),(53,1),(55,1),(98,1),(99,1)}
        36:{2,3,6}:{(20,1),(27,1),(55,1)}
        37:{1,2,4}:{(21,1),(57,1),(58,1)}
        38:{2,3,4}:{(22,1),(57,1),(59,1)}
        39:{1,3,5}:{(22,1),(23,1),(59,1),(61,1)}
        40:{1,2,4,6}:{(23,1),(25,1),(61,1),(62,1),(63,1),(103,1)}
        41:{1,4,5}:{(24,1),(30,1),(53,1),(63,1)}
        42:{1,3,5,6}:{(24,1),(25,1),(27,1),(31,1),(54,1),(61,1),(63,1),(64,1),(65,1),(101,1),(131,1)}
        43:{1,2,5,7}:{(25,1),(28,1),(62,1),(64,1),(102,1),(133,1)}
        44:{1,4,6}:{(26,1),(27,1),(32,1),(55,1),(65,1)}
        45:{1,3,6,7}:{(27,1),(28,1),(33,1),(56,1),(64,1),(66,1),(139,1)}
        46:{3,4,6}:{(29,1),(32,1),(67,1)}
        47:{3,4,5}:{(30,1),(69,1)}
        48:{2,4,6}:{(30,1),(31,1),(63,1),(69,1),(71,1)}
        49:{2,3,5,7}:{(31,1),(33,1),(64,1),(71,1),(72,1),(104,1),(111,1),(133,1)}
        50:{2,5,6}:{(32,1),(65,1),(67,1),(72,1)}
        51:{2,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(71,1),(72,1)}
        52:{3,4,5,7}:{(35,1),(73,1),(74,1),(114,1),(116,1)}
        53:{2,4,5}:{(34,1),(41,1),(74,1),(75,1)}
        54:{2,3,5,6}:{(34,1),(36,1),(42,1),(75,1),(76,1),(77,1),(82,1),(115,1),(121,1)}
        55:{2,4,6}:{(35,1),(36,1),(44,1),(73,1),(77,1)}
        56:{2,3,6,7}:{(36,1),(45,1),(76,1),(78,1),(136,1),(138,1)}
        57:{1,3,4}:{(37,1),(38,1),(79,1)}
        58:{1,2,5}:{(37,1),(79,1),(80,1)}
        59:{2,3,5}:{(38,1),(39,1),(79,1),(81,1),(82,1)}
        60:{1,3,4,5}:{(39,1),(41,1),(47,1),(74,1),(81,1),(83,1)}
        61:{1,3,6}:{(39,1),(40,1),(82,1),(84,1)}
        62:{1,2,4,7}:{(40,1),(43,1),(84,1),(86,1),(122,1)}
        63:{1,4,6}:{(41,1),(42,1),(48,1),(75,1),(86,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(49,1),(76,1),(84,1),(86,1),(87,1),(120,1),(137,1)}
        65:{1,5,6}:{(44,1),(50,1),(77,1),(87,1)}
        66:{1,4,6,7}:{(44,1),(45,1),(51,1),(78,1),(86,1),(87,1)}
        67:{3,5,6}:{(46,1),(50,1),(88,1),(89,1)}
        68:{3,4,6,7}:{(46,1),(51,1),(89,1),(91,1),(125,1),(126,1)}
        69:{3,4,6}:{(47,1),(48,1),(90,1),(91,1)}
        70:{2,4,5,6}:{(48,1),(50,1),(85,1),(88,1),(90,1),(92,1),(121,1)}
        71:{2,4,7}:{(48,1),(49,1),(86,1),(91,1)}
        72:{2,5,7}:{(50,1),(51,1),(87,1),(89,1)}
        73:{3,4,6}:{(52,1),(55,1),(94,1)}
        74:{3,4,5}:{(53,1),(96,1)}
        75:{2,4,6}:{(53,1),(54,1),(63,1),(96,1),(98,1)}
        76:{2,3,5,7}:{(54,1),(56,1),(64,1),(98,1),(99,1),(104,1),(129,1),(133,1)}
        77:{2,5,6}:{(55,1),(65,1),(94,1),(99,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(66,1),(95,1),(98,1),(99,1)}
        79:{1,3,5}:{(57,1),(58,1),(59,1),(100,1),(101,1)}
        80:{1,2,6}:{(58,1),(101,1),(102,1)}
        81:{2,4,5}:{(59,1),(60,1),(100,1),(103,1)}
        82:{2,3,6}:{(59,1),(61,1),(101,1),(103,1),(104,1)}
        83:{1,3,4,6}:{(60,1),(61,1),(63,1),(69,1),(96,1),(103,1),(105,1),(106,1)}
        84:{1,3,7}:{(61,1),(62,1),(104,1)}
        85:{1,4,5,6}:{(63,1),(65,1),(70,1),(97,1),(105,1),(107,1),(131,1)}
        86:{1,4,7}:{(63,1),(64,1),(71,1),(98,1)}
        87:{1,5,7}:{(65,1),(66,1),(72,1),(99,1)}
        88:{4,5,6}:{(67,1),(109,1)}
        89:{3,5,7}:{(67,1),(68,1),(72,1),(109,1)}
        90:{3,5,6}:{(69,1),(70,1),(111,1)}
        91:{3,4,7}:{(69,1),(71,1),(111,1)}
        92:{2,4,5,7}:{(70,1),(71,1),(72,1),(107,1),(109,1),(111,1),(112,1),(133,1)}
        93:{2,5,6,7}:{(72,1),(108,1),(110,1),(112,1)}
        94:{3,5,6}:{(73,1),(77,1),(113,1),(114,1)}
        95:{3,4,6,7}:{(73,1),(78,1),(114,1),(116,1),(135,1),(136,1)}
        96:{3,4,6}:{(74,1),(75,1),(115,1),(116,1)}
        97:{2,4,5,6}:{(75,1),(77,1),(85,1),(113,1),(115,1),(117,1),(121,1)}
        98:{2,4,7}:{(75,1),(76,1),(86,1),(116,1)}
        99:{2,5,7}:{(77,1),(78,1),(87,1),(114,1)}
       100:{1,4,5}:{(79,1),(81,1),(119,1)}
       101:{1,3,6}:{(79,1),(80,1),(82,1),(119,1),(120,1)}
       102:{1,2,7}:{(80,1),(120,1)}
       103:{2,4,6}:{(81,1),(82,1),(83,1),(119,1),(121,1),(122,1)}
       104:{2,3,7}:{(82,1),(84,1),(120,1),(122,1)}
       105:{1,3,5,6}:{(83,1),(85,1),(90,1),(115,1),(121,1),(123,1)}
       106:{1,3,4,7}:{(83,1),(84,1),(86,1),(91,1),(116,1),(122,1),(123,1)}
       107:{1,4,5,7}:{(85,1),(86,1),(87,1),(92,1),(117,1),(123,1),(124,1),(137,1)}
       108:{1,5,6,7}:{(87,1),(93,1),(118,1),(124,1)}
       109:{4,5,7}:{(88,1),(89,1),(125,1)}
       110:{3,5,6,7}:{(89,1),(93,1),(125,1),(126,1)}
       111:{3,5,7}:{(90,1),(91,1),(92,1),(126,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(124,1),(125,1),(126,1),(138,1)}
       113:{4,5,6}:{(94,1),(127,1)}
       114:{3,5,7}:{(94,1),(95,1),(99,1),(127,1)}
       115:{3,5,6}:{(96,1),(97,1),(129,1)}
       116:{3,4,7}:{(96,1),(98,1),(129,1)}
       117:{2,4,5,7}:{(97,1),(98,1),(99,1),(107,1),(127,1),(129,1),(130,1),(133,1)}
       118:{2,5,6,7}:{(99,1),(108,1),(128,1),(130,1)}
       119:{1,4,6}:{(100,1),(101,1),(103,1),(131,1),(132,1)}
       120:{1,3,7}:{(101,1),(102,1),(104,1),(132,1)}
       121:{2,5,6}:{(103,1),(105,1),(131,1),(133,1)}
       122:{2,4,7}:{(103,1),(104,1),(106,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(105,1),(106,1),(107,1),(111,1),(129,1),(133,1),(134,1)}
       124:{1,4,6,7}:{(107,1),(108,1),(112,1),(130,1),(134,1),(139,1)}
       125:{4,6,7}:{(109,1),(110,1)}
       126:{3,6,7}:{(111,1),(112,1)}
       127:{4,5,7}:{(113,1),(114,1),(135,1)}
       128:{3,5,6,7}:{(114,1),(118,1),(135,1),(136,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{2,4,6,7}:{(117,1),(118,1),(124,1),(135,1),(136,1),(138,1)}
       131:{1,5,6}:{(119,1),(121,1),(137,1)}
       132:{1,4,7}:{(119,1),(120,1),(122,1),(137,1)}
       133:{2,5,7}:{(121,1),(122,1),(123,1),(137,1),(138,1)}
       134:{1,3,6,7}:{(123,1),(124,1),(126,1),(136,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,6,7}:{(129,1),(130,1)}
       137:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{2,6,7}:{(133,1),(134,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2096 :   0:{2,3,4,5,7}:{(1,1),(2,1),(13,1),(37,1),(166,1),(169,1),(195,1),(197,1),(248,1),(259,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(137,1),(139,1),(154,1),(157,1),(237,1),(239,1),(299,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(63,1),(131,1),(288,1),(298,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(14,1),(36,1),(115,1),(118,1),(194,1),(249,1),(251,1),(259,1)}
         4:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(49,1),(90,1),(166,1),(191,1),(195,1),(244,1),(256,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(51,1),(115,1),(118,1),(278,1),(279,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(43,1),(103,1),(119,1),(333,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(321,1),(330,1)}
         8:{1,3,4,5,7}:{(3,1),(19,1),(20,1),(22,1),(60,1),(137,1),(139,1),(207,1),(210,1),(290,1),(292,1),(299,1)}
         9:{2,3,4,6}:{(3,1),(20,1),(21,1),(31,1),(85,1),(235,1),(298,1)}
        10:{1,2,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(24,1),(68,1),(74,1),(137,1),(139,1),(299,1),(300,1),(301,1),(304,1)}
        11:{1,2,3,5,7}:{(22,1),(24,1),(25,1),(74,1),(304,1),(305,1),(306,1)}
        12:{1,3,4,6,7}:{(4,1),(6,1),(27,1),(28,1),(67,1),(78,1),(137,1),(150,1),(154,1),(234,1),(237,1),(296,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(28,1),(29,1),(285,1),(295,1)}
        14:{2,3,5,7}:{(5,1),(22,1),(30,1),(31,1),(84,1),(316,1),(317,1)}
        15:{2,4,6}:{(5,1),(6,1),(31,1),(32,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(28,1),(32,1),(33,1),(86,1),(360,1)}
        17:{2,4,5,6}:{(7,1),(29,1),(33,1),(34,1),(131,1)}
        18:{2,3,4,6,7}:{(9,1),(35,1),(36,1),(50,1),(89,1),(115,1),(190,1),(245,1),(249,1),(256,1)}
        19:{2,4,5,7}:{(8,1),(37,1),(38,1),(91,1),(166,1),(169,1),(327,1),(328,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(38,1),(39,1),(43,1),(103,1),(170,1),(333,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(39,1),(40,1),(272,1),(330,1)}
        22:{1,3,5,7}:{(10,1),(14,1),(37,1),(42,1),(43,1),(102,1),(335,1),(336,1)}
        23:{1,2,4,6}:{(10,1),(15,1),(38,1),(43,1),(44,1),(103,1),(333,1),(337,1)}
        24:{1,2,4,7}:{(11,1),(42,1),(46,1),(339,1)}
        25:{1,2,3,6}:{(11,1),(43,1),(46,1),(337,1)}
        26:{2,3,5,6,7}:{(13,1),(48,1),(49,1),(110,1),(188,1),(191,1)}
        27:{2,4,6,7}:{(12,1),(15,1),(50,1),(51,1),(115,1),(275,1),(278,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(52,1),(116,1),(331,1)}
        29:{2,4,5,7}:{(13,1),(17,1),(49,1),(52,1),(53,1),(166,1)}
        30:{2,3,4,7}:{(14,1),(42,1),(54,1),(115,1),(348,1)}
        31:{2,3,6}:{(14,1),(15,1),(43,1)}
        32:{2,5,6}:{(15,1),(16,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(17,1),(52,1),(56,1),(103,1)}
        34:{3,4,5,6}:{(17,1),(53,1),(170,1),(321,1)}
        35:{1,3,4,6,7}:{(18,1),(20,1),(59,1),(60,1),(67,1),(124,1),(137,1),(203,1),(207,1),(287,1),(290,1),(296,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(60,1),(61,1),(232,1),(295,1)}
        37:{2,3,5,7}:{(19,1),(22,1),(62,1),(63,1),(130,1),(358,1),(359,1)}
        38:{2,4,6}:{(19,1),(20,1),(63,1),(64,1)}
        39:{1,3,5,6}:{(20,1),(21,1),(60,1),(64,1),(65,1),(132,1),(360,1)}
        40:{2,4,5,6}:{(21,1),(61,1),(65,1),(66,1),(85,1)}
        41:{1,2,4,6,7}:{(23,1),(27,1),(59,1),(67,1),(68,1),(137,1),(296,1),(297,1),(300,1)}
        42:{1,3,4,7}:{(22,1),(24,1),(30,1),(62,1),(69,1),(137,1),(365,1)}
        43:{1,3,6}:{(22,1),(23,1),(31,1),(63,1)}
        44:{1,2,5,6}:{(23,1),(32,1),(64,1),(68,1),(70,1),(74,1),(360,1)}
        45:{1,2,3,6,7}:{(25,1),(67,1),(72,1),(73,1),(215,1),(223,1),(297,1),(305,1),(362,1),(366,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(69,1),(74,1)}
        47:{1,2,3,5,6}:{(25,1),(70,1),(73,1),(74,1),(75,1),(141,1),(142,1),(145,1),(222,1),(223,1),(302,1),(306,1),(366,1),(401,1),(404,1)}
        48:{1,3,5,6,7}:{(26,1),(28,1),(77,1),(78,1),(150,1),(230,1),(234,1)}
        49:{2,4,6,7}:{(26,1),(29,1),(78,1),(79,1)}
        50:{2,3,6,7}:{(27,1),(31,1),(67,1),(81,1),(150,1),(316,1)}
        51:{2,5,7}:{(27,1),(28,1),(32,1)}
        52:{1,4,5,7}:{(28,1),(29,1),(33,1),(78,1),(82,1),(137,1)}
        53:{3,4,5,7}:{(29,1),(34,1),(79,1),(207,1),(285,1)}
        54:{2,3,4,6}:{(30,1),(31,1),(69,1),(84,1),(85,1)}
        55:{2,3,5,6}:{(31,1),(32,1),(70,1),(81,1),(84,1),(85,1),(86,1)}
        56:{2,4,5,6}:{(32,1),(33,1),(82,1),(85,1),(86,1)}
        57:{1,3,4,5,6}:{(33,1),(34,1),(83,1),(86,1),(87,1),(140,1),(159,1),(294,1),(307,1),(368,1),(405,1)}
        58:{2,3,5,6,7}:{(36,1),(88,1),(89,1),(161,1),(242,1),(245,1)}
        59:{2,4,6,7}:{(35,1),(38,1),(90,1),(91,1),(166,1),(324,1),(327,1)}
        60:{1,3,5,7}:{(35,1),(36,1),(39,1),(91,1),(92,1),(167,1),(331,1)}
        61:{2,4,5,7}:{(36,1),(40,1),(89,1),(92,1),(93,1),(115,1)}
        62:{2,3,4,7}:{(37,1),(42,1),(94,1),(166,1),(383,1)}
        63:{2,3,6}:{(37,1),(38,1),(43,1)}
        64:{2,5,6}:{(38,1),(39,1),(91,1)}
        65:{1,4,5,6}:{(39,1),(40,1),(92,1),(96,1),(103,1)}
        66:{3,4,5,6}:{(40,1),(93,1),(119,1),(272,1)}
        67:{1,3,6,7}:{(41,1),(43,1),(50,1),(90,1),(100,1),(335,1)}
        68:{1,2,5,7}:{(41,1),(44,1),(51,1),(91,1),(100,1),(331,1)}
        69:{1,3,4,6}:{(42,1),(43,1),(46,1),(54,1),(94,1),(102,1),(103,1)}
        70:{1,3,5,6}:{(43,1),(44,1),(55,1),(95,1),(100,1),(102,1),(103,1)}
        71:{1,2,4,5,6}:{(44,1),(56,1),(96,1),(101,1),(103,1),(104,1),(107,1),(121,1),(172,1),(180,1),(182,1),(199,1),(253,1),(254,1),(263,1),(330,1),(384,1),(389,1),(409,1),(414,1)}
        72:{1,2,4,6,7}:{(45,1),(46,1),(99,1),(105,1),(106,1),(182,1),(256,1),(266,1),(337,1),(388,1)}
        73:{1,2,3,5,7}:{(45,1),(47,1),(100,1),(105,1),(106,1),(178,1),(183,1),(261,1),(335,1),(385,1)}
        74:{1,2,5}:{(46,1),(102,1)}
        75:{1,2,4,6}:{(47,1),(103,1),(106,1),(107,1),(108,1),(180,1),(339,1),(414,1)}
        76:{2,4,5,6,7}:{(49,1),(109,1),(110,1),(188,1),(243,1),(342,1)}
        77:{2,5,6,7}:{(48,1),(51,1),(112,1),(275,1)}
        78:{1,4,6,7}:{(48,1),(49,1),(52,1),(112,1)}
        79:{3,4,6,7}:{(49,1),(53,1),(110,1)}
        80:{2,3,4,6,7}:{(50,1),(54,1),(99,1),(114,1),(115,1),(184,1),(190,1),(193,1),(256,1),(264,1),(380,1),(412,1),(413,1)}
        81:{2,3,5,7}:{(50,1),(51,1),(55,1),(100,1),(115,1),(116,1)}
        82:{2,4,5,7}:{(51,1),(52,1),(56,1),(112,1),(115,1),(116,1)}
        83:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(113,1),(116,1),(117,1),(177,1),(196,1),(255,1),(269,1),(341,1),(390,1)}
        84:{2,3,5}:{(54,1),(102,1),(118,1)}
        85:{2,4,6}:{(55,1),(103,1),(115,1),(118,1),(119,1)}
        86:{3,5,6}:{(56,1),(116,1),(119,1)}
        87:{2,4,5,6}:{(57,1),(117,1),(120,1),(121,1),(180,1),(199,1),(330,1)}
        88:{1,3,5,6,7}:{(58,1),(60,1),(123,1),(124,1),(203,1),(283,1),(287,1)}
        89:{2,4,6,7}:{(58,1),(61,1),(124,1),(125,1)}
        90:{2,3,6,7}:{(59,1),(63,1),(67,1),(127,1),(203,1),(358,1)}
        91:{2,5,7}:{(59,1),(60,1),(64,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(65,1),(124,1),(128,1),(137,1)}
        93:{3,4,5,7}:{(61,1),(66,1),(125,1),(154,1),(232,1)}
        94:{2,3,4,6}:{(62,1),(63,1),(69,1),(130,1),(131,1)}
        95:{2,3,5,6}:{(63,1),(64,1),(70,1),(127,1),(130,1),(131,1),(132,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(128,1),(131,1),(132,1)}
        97:{1,3,4,5,6}:{(65,1),(66,1),(129,1),(132,1),(133,1),(140,1),(212,1),(294,1),(349,1),(394,1),(418,1)}
        98:{1,2,5,6,7}:{(68,1),(77,1),(123,1),(134,1),(135,1),(142,1),(230,1),(283,1),(295,1),(297,1),(310,1),(352,1),(361,1)}
        99:{1,3,4,6,7}:{(67,1),(69,1),(72,1),(80,1),(126,1),(136,1),(137,1),(144,1),(216,1),(223,1),(225,1),(296,1),(303,1),(362,1),(402,1),(403,1)}
       100:{1,3,5,7}:{(67,1),(68,1),(70,1),(81,1),(127,1),(137,1)}
       101:{1,2,4,5,7}:{(68,1),(71,1),(82,1),(128,1),(135,1),(137,1),(138,1),(156,1),(209,1),(213,1),(218,1),(238,1),(291,1),(295,1),(300,1),(361,1),(369,1),(395,1),(402,1)}
       102:{1,3,5}:{(69,1),(74,1),(84,1),(130,1),(139,1)}
       103:{1,4,6}:{(70,1),(85,1),(131,1),(137,1),(139,1)}
       104:{1,3,5,6}:{(71,1),(86,1),(132,1),(138,1),(140,1),(141,1),(145,1),(223,1),(302,1),(405,1),(418,1)}
       105:{1,2,5,7}:{(72,1),(74,1),(136,1),(142,1),(295,1),(404,1)}
       106:{1,2,4,7}:{(73,1),(75,1),(137,1),(144,1),(218,1),(402,1)}
       107:{1,2,4,5}:{(74,1),(75,1),(139,1),(145,1),(220,1),(404,1),(422,1)}
       108:{1,3,4,6}:{(75,1),(144,1),(145,1),(146,1),(223,1),(302,1),(365,1)}
       109:{1,4,5,6,7}:{(76,1),(78,1),(147,1),(148,1),(213,1),(230,1),(309,1)}
       110:{3,5,6,7}:{(76,1),(79,1),(285,1),(370,1)}
       111:{2,3,5,6,7}:{(77,1),(81,1),(134,1),(149,1),(150,1),(152,1),(215,1),(232,1),(295,1),(352,1),(396,1),(398,1)}
       112:{2,4,6,7}:{(77,1),(78,1),(82,1),(150,1)}
       113:{1,3,4,6,7}:{(78,1),(79,1),(83,1),(148,1),(150,1),(151,1),(228,1),(234,1),(309,1),(370,1)}
       114:{2,3,5,7}:{(80,1),(84,1),(136,1),(152,1),(153,1),(232,1),(295,1),(421,1)}
       115:{2,4,7}:{(81,1),(85,1),(137,1),(154,1)}
       116:{3,5,7}:{(82,1),(86,1),(150,1),(154,1)}
       117:{2,4,5,7}:{(83,1),(87,1),(151,1),(155,1),(156,1),(218,1),(238,1),(295,1)}
       118:{2,4,5}:{(84,1),(85,1),(139,1),(157,1)}
       119:{3,4,6}:{(85,1),(86,1),(154,1),(157,1)}
       120:{2,3,5,6}:{(86,1),(87,1),(155,1),(158,1),(159,1),(405,1)}
       121:{1,4,5,6}:{(87,1),(156,1),(159,1),(221,1),(360,1)}
       122:{2,4,5,6,7}:{(89,1),(160,1),(161,1),(189,1),(242,1),(377,1)}
       123:{2,5,6,7}:{(88,1),(91,1),(163,1),(324,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(92,1),(163,1)}
       125:{3,4,6,7}:{(89,1),(93,1),(161,1)}
       126:{2,3,4,6,7}:{(90,1),(94,1),(99,1),(165,1),(166,1),(184,1),(244,1),(247,1),(256,1),(264,1),(345,1),(392,1),(393,1)}
       127:{2,3,5,7}:{(90,1),(91,1),(95,1),(100,1),(166,1),(167,1)}
       128:{2,4,5,7}:{(91,1),(92,1),(96,1),(163,1),(166,1),(167,1)}
       129:{1,3,4,5,7}:{(92,1),(93,1),(97,1),(164,1),(167,1),(168,1),(177,1),(250,1),(255,1),(318,1),(376,1),(410,1)}
       130:{2,3,5}:{(94,1),(102,1),(169,1)}
       131:{2,4,6}:{(95,1),(103,1),(166,1),(169,1),(170,1)}
       132:{3,5,6}:{(96,1),(167,1),(170,1)}
       133:{2,4,5,6}:{(97,1),(168,1),(171,1),(172,1),(180,1),(253,1),(330,1)}
       134:{1,3,5,6,7}:{(98,1),(100,1),(111,1),(162,1),(173,1),(174,1),(175,1),(255,1),(257,1),(331,1),(385,1)}
       135:{1,2,4,6,7}:{(98,1),(101,1),(112,1),(163,1),(173,1),(174,1),(182,1),(192,1),(246,1),(256,1),(275,1),(324,1),(342,1),(377,1)}
       136:{1,3,5,7}:{(99,1),(102,1),(105,1),(114,1),(165,1),(175,1),(176,1),(331,1),(415,1)}
       137:{1,4,7}:{(100,1),(103,1),(115,1),(166,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(116,1),(167,1),(174,1),(177,1),(178,1),(335,1),(390,1),(410,1)}
       139:{1,4,5}:{(102,1),(103,1),(118,1),(169,1)}
       140:{1,3,4,6}:{(103,1),(104,1),(119,1),(170,1),(177,1),(179,1),(180,1),(414,1),(416,1),(424,1)}
       141:{2,3,5,6}:{(104,1),(178,1),(180,1),(181,1),(185,1),(199,1),(253,1),(264,1),(280,1),(329,1),(330,1)}
       142:{1,2,5,6}:{(105,1),(175,1),(182,1),(330,1),(337,1)}
       143:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(176,1),(182,1),(183,1),(259,1)}
       144:{1,3,4,7}:{(106,1),(108,1),(183,1),(184,1),(335,1)}
       145:{1,3,5}:{(107,1),(108,1),(185,1)}
       146:{2,3,4,6}:{(108,1),(180,1),(184,1),(185,1),(186,1),(264,1),(280,1),(329,1),(348,1),(383,1)}
       147:{2,4,5,6,7}:{(109,1),(112,1),(187,1),(188,1),(189,1),(270,1)}
       148:{1,3,5,6,7}:{(109,1),(110,1),(113,1),(187,1),(188,1),(255,1)}
       149:{2,4,6,7}:{(111,1),(115,1),(173,1),(189,1),(190,1),(193,1),(412,1)}
       150:{3,6,7}:{(112,1),(116,1)}
       151:{2,4,6,7}:{(113,1),(117,1),(188,1),(191,1),(192,1),(275,1)}
       152:{2,3,5,6}:{(114,1),(175,1),(193,1),(264,1),(272,1),(330,1)}
       153:{2,4,5,7}:{(114,1),(115,1),(118,1),(176,1),(193,1),(194,1),(412,1),(425,1)}
       154:{3,4,7}:{(115,1),(116,1),(119,1)}
       155:{2,3,5,7}:{(116,1),(117,1),(120,1),(191,1),(195,1),(196,1),(390,1)}
       156:{1,4,5,7}:{(117,1),(121,1),(192,1),(196,1),(260,1),(331,1)}
       157:{3,4,5}:{(118,1),(119,1)}
       158:{2,3,4,6}:{(119,1),(120,1),(180,1),(195,1),(197,1),(198,1),(329,1),(416,1)}
       159:{1,3,5,6}:{(120,1),(121,1),(196,1),(198,1),(199,1)}
       160:{1,4,5,6,7}:{(122,1),(124,1),(200,1),(201,1),(213,1),(283,1),(351,1)}
       161:{3,5,6,7}:{(122,1),(125,1),(232,1),(396,1)}
       162:{2,3,5,6,7}:{(123,1),(127,1),(134,1),(202,1),(203,1),(205,1),(215,1),(285,1),(295,1),(310,1),(370,1),(372,1)}
       163:{2,4,6,7}:{(123,1),(124,1),(128,1),(203,1)}
       164:{1,3,4,6,7}:{(124,1),(125,1),(129,1),(201,1),(203,1),(204,1),(281,1),(287,1),(351,1),(396,1)}
       165:{2,3,5,7}:{(126,1),(130,1),(136,1),(205,1),(206,1),(285,1),(295,1),(408,1)}
       166:{2,4,7}:{(127,1),(131,1),(137,1),(207,1)}
       167:{3,5,7}:{(128,1),(132,1),(203,1),(207,1)}
       168:{2,4,5,7}:{(129,1),(133,1),(204,1),(208,1),(209,1),(218,1),(291,1),(295,1)}
       169:{2,4,5}:{(130,1),(131,1),(139,1),(210,1)}
       170:{3,4,6}:{(131,1),(132,1),(207,1),(210,1)}
       171:{2,3,5,6}:{(132,1),(133,1),(208,1),(211,1),(212,1),(418,1)}
       172:{1,4,5,6}:{(133,1),(209,1),(212,1),(221,1),(360,1)}
       173:{1,4,6,7}:{(134,1),(137,1),(149,1),(202,1),(213,1),(216,1),(402,1)}
       174:{1,3,6,7}:{(135,1),(138,1),(150,1),(203,1),(215,1),(223,1),(370,1),(396,1)}
       175:{1,3,5,6}:{(136,1),(142,1),(152,1),(205,1),(216,1),(223,1),(303,1),(360,1)}
       176:{1,4,5,7}:{(136,1),(137,1),(139,1),(153,1),(206,1),(216,1),(402,1),(422,1)}
       177:{1,3,4,7}:{(137,1),(138,1),(140,1),(154,1),(207,1),(218,1),(402,1),(406,1),(419,1)}
       178:{2,3,5,7}:{(138,1),(141,1),(215,1),(218,1),(219,1),(238,1),(291,1),(295,1),(316,1),(358,1)}
       179:{1,3,4,5}:{(139,1),(140,1),(145,1),(157,1),(210,1),(220,1),(422,1),(423,1),(426,1)}
       180:{2,4,6}:{(140,1),(141,1),(218,1),(220,1),(221,1)}
       181:{1,3,5,6}:{(141,1),(219,1),(221,1),(222,1),(226,1),(302,1),(303,1),(360,1)}
       182:{1,2,4,6}:{(142,1),(143,1),(216,1),(223,1),(298,1)}
       183:{1,3,5,7}:{(143,1),(144,1),(145,1),(223,1),(224,1)}
       184:{2,3,4,7}:{(144,1),(146,1),(218,1),(224,1),(225,1),(316,1),(358,1)}
       185:{2,3,5}:{(145,1),(146,1),(220,1),(226,1)}
       186:{1,3,4,6}:{(146,1),(221,1),(225,1),(226,1),(227,1),(302,1),(303,1),(365,1)}
       187:{3,5,6,7}:{(147,1),(150,1),(228,1),(232,1)}
       188:{2,5,6,7}:{(148,1),(151,1),(230,1),(295,1)}
       189:{2,4,5,7}:{(149,1),(213,1),(231,1),(232,1),(295,1)}
       190:{3,4,6,7}:{(149,1),(150,1),(154,1),(232,1),(235,1),(396,1),(419,1)}
       191:{2,3,6,7}:{(150,1),(151,1),(155,1),(234,1),(370,1)}
       192:{1,4,6,7}:{(151,1),(156,1),(230,1),(234,1)}
       193:{2,4,6}:{(152,1),(153,1),(216,1),(235,1)}
       194:{3,4,5,7}:{(153,1),(154,1),(157,1),(232,1),(235,1),(419,1),(426,1)}
       195:{2,3,4,7}:{(154,1),(155,1),(158,1),(218,1),(237,1),(358,1),(406,1)}
       196:{1,3,5,7}:{(155,1),(156,1),(159,1),(234,1),(237,1),(238,1)}
       197:{2,3,4,5}:{(157,1),(158,1),(220,1),(239,1),(359,1),(423,1)}
       198:{1,3,4,6}:{(158,1),(159,1),(221,1),(237,1),(239,1),(240,1),(302,1)}
       199:{2,5,6}:{(159,1),(238,1),(240,1)}
       200:{2,4,5,6,7}:{(160,1),(163,1),(241,1),(242,1),(243,1),(319,1)}
       201:{1,3,5,6,7}:{(160,1),(161,1),(164,1),(241,1),(242,1),(255,1)}
       202:{2,4,6,7}:{(162,1),(166,1),(173,1),(243,1),(244,1),(247,1),(392,1)}
       203:{3,6,7}:{(163,1),(167,1)}
       204:{2,4,6,7}:{(164,1),(168,1),(242,1),(245,1),(246,1),(324,1)}
       205:{2,3,5,6}:{(165,1),(175,1),(247,1),(264,1),(321,1),(330,1)}
       206:{2,4,5,7}:{(165,1),(166,1),(169,1),(176,1),(247,1),(248,1),(392,1),(417,1)}
       207:{3,4,7}:{(166,1),(167,1),(170,1)}
       208:{2,3,5,7}:{(167,1),(168,1),(171,1),(245,1),(249,1),(250,1),(410,1)}
       209:{1,4,5,7}:{(168,1),(172,1),(246,1),(250,1),(260,1),(331,1)}
       210:{3,4,5}:{(169,1),(170,1)}
       211:{2,3,4,6}:{(170,1),(171,1),(180,1),(249,1),(251,1),(252,1),(280,1),(424,1)}
       212:{1,3,5,6}:{(171,1),(172,1),(250,1),(252,1),(253,1)}
       213:{1,4,5,7}:{(173,1),(189,1),(243,1),(254,1),(255,1),(331,1)}
       214:{1,3,4,6,7}:{(173,1),(174,1),(177,1),(190,1),(244,1),(255,1),(256,1),(258,1)}
       215:{2,3,6,7}:{(174,1),(178,1),(256,1),(257,1),(264,1),(275,1),(324,1)}
       216:{1,4,6}:{(175,1),(176,1),(193,1),(247,1)}
       217:{1,3,4,5,7}:{(176,1),(177,1),(179,1),(183,1),(194,1),(248,1),(255,1),(258,1),(259,1)}
       218:{2,4,7}:{(177,1),(178,1),(180,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(181,1),(257,1),(260,1),(261,1),(331,1),(335,1)}
       220:{2,4,5}:{(179,1),(180,1),(185,1),(262,1)}
       221:{1,4,6}:{(180,1),(181,1),(260,1),(262,1)}
       222:{1,2,5,6}:{(181,1),(199,1),(253,1),(261,1),(263,1),(267,1),(337,1)}
       223:{1,3,6}:{(182,1),(183,1),(264,1)}
       224:{2,3,5,7}:{(183,1),(184,1),(185,1),(259,1),(264,1),(265,1)}
       225:{1,3,4,7}:{(184,1),(186,1),(260,1),(265,1),(266,1),(335,1)}
       226:{1,3,5}:{(185,1),(186,1),(262,1),(267,1)}
       227:{1,2,4,6}:{(186,1),(266,1),(267,1),(268,1),(337,1),(339,1)}
       228:{3,4,6,7}:{(187,1),(269,1),(270,1)}
       229:{2,3,5,6,7}:{(187,1),(188,1),(191,1),(270,1),(271,1),(273,1)}
       230:{1,5,6,7}:{(188,1),(192,1),(331,1)}
       231:{2,4,5,6}:{(189,1),(193,1),(254,1),(272,1),(330,1)}
       232:{3,5,7}:{(189,1),(190,1),(272,1)}
       233:{2,3,4,6,7}:{(190,1),(191,1),(195,1),(256,1),(270,1),(273,1),(274,1),(276,1),(380,1),(412,1)}
       234:{1,3,6,7}:{(191,1),(192,1),(196,1),(275,1)}
       235:{3,4,6}:{(193,1),(194,1),(272,1)}
       236:{2,3,4,5,7}:{(194,1),(195,1),(197,1),(259,1),(273,1),(276,1),(277,1),(382,1),(412,1),(425,1)}
       237:{1,3,4,7}:{(195,1),(196,1),(198,1),(260,1),(278,1),(335,1)}
       238:{2,5,7}:{(196,1),(199,1),(275,1),(278,1)}
       239:{1,3,4,5}:{(197,1),(198,1),(262,1),(279,1),(336,1)}
       240:{2,4,6}:{(198,1),(199,1),(278,1),(279,1),(280,1)}
       241:{3,5,6,7}:{(200,1),(203,1),(281,1),(285,1)}
       242:{2,5,6,7}:{(201,1),(204,1),(283,1),(295,1)}
       243:{2,4,5,7}:{(202,1),(213,1),(284,1),(285,1),(295,1)}
       244:{3,4,6,7}:{(202,1),(203,1),(207,1),(285,1),(288,1),(370,1),(406,1)}
       245:{2,3,6,7}:{(203,1),(204,1),(208,1),(287,1),(396,1)}
       246:{1,4,6,7}:{(204,1),(209,1),(283,1),(287,1)}
       247:{2,4,6}:{(205,1),(206,1),(216,1),(288,1)}
       248:{3,4,5,7}:{(206,1),(207,1),(210,1),(285,1),(288,1),(406,1),(423,1)}
       249:{2,3,4,7}:{(207,1),(208,1),(211,1),(218,1),(290,1),(316,1),(419,1)}
       250:{1,3,5,7}:{(208,1),(209,1),(212,1),(287,1),(290,1),(291,1)}
       251:{2,3,4,5}:{(210,1),(211,1),(220,1),(292,1),(317,1),(426,1)}
       252:{1,3,4,6}:{(211,1),(212,1),(221,1),(290,1),(292,1),(293,1),(302,1)}
       253:{2,5,6}:{(212,1),(291,1),(293,1)}
       254:{1,4,5,6}:{(213,1),(216,1),(231,1),(284,1),(294,1),(360,1)}
       255:{1,3,5,7}:{(213,1),(214,1),(232,1),(285,1),(294,1),(295,1)}
       256:{2,4,6,7}:{(214,1),(215,1),(218,1),(295,1),(296,1),(298,1)}
       257:{1,3,6,7}:{(215,1),(219,1),(296,1),(297,1),(303,1)}
       258:{1,3,4,6}:{(216,1),(217,1),(223,1),(235,1),(288,1),(294,1),(298,1)}
       259:{2,4,5,7}:{(217,1),(218,1),(220,1),(224,1),(295,1),(298,1),(299,1)}
       260:{1,4,7}:{(218,1),(219,1),(221,1)}
       261:{1,2,5,7}:{(219,1),(222,1),(238,1),(291,1),(297,1),(300,1)}
       262:{1,4,5}:{(220,1),(221,1),(226,1)}
       263:{1,2,4,6}:{(221,1),(222,1),(240,1),(293,1),(300,1),(301,1),(302,1)}
       264:{2,3,6}:{(223,1),(224,1),(298,1),(303,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(299,1),(303,1),(304,1)}
       266:{1,2,4,7}:{(225,1),(227,1),(304,1),(305,1)}
       267:{1,2,5}:{(226,1),(227,1)}
       268:{1,2,3,6}:{(227,1),(302,1),(305,1),(306,1)}
       269:{3,4,5,7}:{(228,1),(232,1),(307,1),(308,1),(419,1)}
       270:{2,4,6,7}:{(228,1),(229,1),(308,1),(309,1)}
       271:{1,3,5,6,7}:{(229,1),(230,1),(234,1),(309,1),(310,1),(312,1),(370,1)}
       272:{3,5,6}:{(231,1),(232,1),(235,1)}
       273:{2,3,5,7}:{(232,1),(233,1),(295,1),(308,1),(311,1),(312,1)}
       274:{1,3,4,6,7}:{(233,1),(234,1),(237,1),(296,1),(309,1),(312,1),(313,1),(314,1),(362,1),(370,1),(402,1),(406,1)}
       275:{2,6,7}:{(234,1),(238,1)}
       276:{2,3,4,6}:{(235,1),(236,1),(298,1),(311,1),(314,1),(399,1),(420,1)}
       277:{1,3,4,5,7}:{(236,1),(237,1),(239,1),(299,1),(312,1),(314,1),(315,1),(364,1),(402,1),(406,1),(422,1),(423,1)}
       278:{2,4,7}:{(237,1),(238,1),(240,1),(316,1)}
       279:{2,4,5}:{(239,1),(240,1),(317,1)}
       280:{2,3,6}:{(240,1),(302,1),(316,1),(317,1)}
       281:{3,4,6,7}:{(241,1),(318,1),(319,1)}
       282:{2,3,5,6,7}:{(241,1),(242,1),(245,1),(319,1),(320,1),(322,1)}
       283:{1,5,6,7}:{(242,1),(246,1),(331,1)}
       284:{2,4,5,6}:{(243,1),(247,1),(254,1),(321,1),(330,1)}
       285:{3,5,7}:{(243,1),(244,1),(321,1)}
       286:{2,3,4,6,7}:{(244,1),(245,1),(249,1),(256,1),(319,1),(322,1),(323,1),(325,1),(345,1),(392,1)}
       287:{1,3,6,7}:{(245,1),(246,1),(250,1),(324,1)}
       288:{3,4,6}:{(247,1),(248,1),(321,1)}
       289:{2,3,4,5,7}:{(248,1),(249,1),(251,1),(259,1),(322,1),(325,1),(326,1),(347,1),(392,1),(417,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(252,1),(260,1),(327,1),(335,1)}
       291:{2,5,7}:{(250,1),(253,1),(324,1),(327,1)}
       292:{1,3,4,5}:{(251,1),(252,1),(262,1),(328,1),(336,1)}
       293:{2,4,6}:{(252,1),(253,1),(327,1),(328,1),(329,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(258,1),(272,1),(321,1),(330,1)}
       295:{2,5,7}:{(255,1),(256,1),(330,1),(331,1)}
       296:{1,4,6,7}:{(256,1),(257,1),(260,1),(331,1),(333,1)}
       297:{1,2,6,7}:{(257,1),(261,1),(275,1),(324,1),(337,1)}
       298:{2,4,6}:{(258,1),(259,1),(264,1),(330,1),(333,1)}
       299:{1,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(331,1),(333,1)}
       300:{1,2,4,7}:{(260,1),(261,1),(263,1),(278,1),(327,1),(335,1)}
       301:{1,2,4,5}:{(262,1),(263,1),(267,1),(279,1),(328,1),(336,1),(339,1)}
       302:{1,3,6}:{(263,1),(280,1),(329,1),(335,1),(336,1)}
       303:{1,3,6}:{(264,1),(265,1),(333,1),(337,1)}
       304:{1,2,5,7}:{(265,1),(266,1),(267,1),(337,1)}
       305:{1,2,3,7}:{(266,1),(268,1),(335,1)}
       306:{1,2,3,5}:{(267,1),(268,1),(336,1),(339,1)}
       307:{3,4,5,6}:{(269,1),(272,1),(340,1),(424,1)}
       308:{2,4,5,7}:{(269,1),(270,1),(273,1),(340,1),(341,1),(412,1)}
       309:{1,4,6,7}:{(270,1),(271,1),(341,1),(342,1)}
       310:{2,5,6,7}:{(271,1),(275,1),(342,1),(344,1)}
       311:{2,3,5,6}:{(272,1),(273,1),(276,1),(330,1),(340,1),(343,1)}
       312:{1,3,5,7}:{(273,1),(274,1),(331,1),(341,1),(343,1),(344,1),(390,1)}
       313:{2,4,6,7}:{(274,1),(275,1),(278,1),(344,1),(345,1),(346,1),(392,1)}
       314:{1,3,4,6}:{(276,1),(277,1),(333,1),(343,1),(346,1),(386,1),(414,1),(416,1)}
       315:{2,4,5,7}:{(277,1),(278,1),(279,1),(344,1),(346,1),(347,1),(392,1),(417,1)}
       316:{2,3,7}:{(278,1),(280,1),(335,1)}
       317:{2,3,5}:{(279,1),(280,1),(336,1),(348,1)}
       318:{3,4,5,7}:{(281,1),(285,1),(349,1),(350,1),(406,1)}
       319:{2,4,6,7}:{(281,1),(282,1),(350,1),(351,1)}
       320:{1,3,5,6,7}:{(282,1),(283,1),(287,1),(351,1),(352,1),(354,1),(396,1)}
       321:{3,5,6}:{(284,1),(285,1),(288,1)}
       322:{2,3,5,7}:{(285,1),(286,1),(295,1),(350,1),(353,1),(354,1)}
       323:{1,3,4,6,7}:{(286,1),(287,1),(290,1),(296,1),(351,1),(354,1),(355,1),(356,1),(362,1),(396,1),(402,1),(419,1)}
       324:{2,6,7}:{(287,1),(291,1)}
       325:{2,3,4,6}:{(288,1),(289,1),(298,1),(353,1),(356,1),(373,1),(407,1)}
       326:{1,3,4,5,7}:{(289,1),(290,1),(292,1),(299,1),(354,1),(356,1),(357,1),(364,1),(402,1),(419,1),(422,1),(426,1)}
       327:{2,4,7}:{(290,1),(291,1),(293,1),(358,1)}
       328:{2,4,5}:{(292,1),(293,1),(359,1)}
       329:{2,3,6}:{(293,1),(302,1),(358,1),(359,1)}
       330:{2,5,6}:{(294,1),(295,1),(298,1),(360,1)}
       331:{1,5,7}:{(295,1),(296,1),(360,1)}
       332:{1,2,4,6,7}:{(296,1),(297,1),(300,1),(313,1),(355,1),(361,1),(362,1),(363,1),(402,1)}
       333:{1,4,6}:{(298,1),(299,1),(303,1),(360,1)}
       334:{1,2,4,5,7}:{(299,1),(300,1),(301,1),(304,1),(315,1),(357,1),(361,1),(363,1),(364,1),(367,1),(402,1),(404,1),(422,1)}
       335:{1,3,7}:{(300,1),(302,1),(316,1),(358,1)}
       336:{1,3,5}:{(301,1),(302,1),(317,1),(359,1),(365,1)}
       337:{1,2,6}:{(303,1),(304,1)}
       338:{1,2,3,5,7}:{(304,1),(305,1),(306,1),(364,1),(366,1),(367,1),(404,1)}
       339:{1,2,4}:{(306,1),(365,1)}
       340:{2,4,5,6}:{(307,1),(308,1),(311,1),(368,1),(420,1)}
       341:{1,4,5,7}:{(308,1),(309,1),(312,1),(368,1),(369,1),(402,1)}
       342:{2,4,6,7}:{(309,1),(310,1),(369,1),(370,1)}
       343:{1,3,5,6}:{(311,1),(312,1),(314,1),(360,1),(368,1),(371,1),(405,1)}
       344:{2,5,7}:{(312,1),(313,1),(371,1)}
       345:{2,3,6,7}:{(313,1),(316,1),(362,1),(370,1),(372,1),(373,1)}
       346:{2,4,6}:{(314,1),(315,1),(371,1),(373,1)}
       347:{2,3,5,7}:{(315,1),(316,1),(317,1),(364,1),(373,1),(374,1),(408,1)}
       348:{2,3,4}:{(317,1),(365,1)}
       349:{3,4,5,6}:{(318,1),(321,1),(375,1),(416,1)}
       350:{2,4,5,7}:{(318,1),(319,1),(322,1),(375,1),(376,1),(392,1)}
       351:{1,4,6,7}:{(319,1),(320,1),(376,1),(377,1)}
       352:{2,5,6,7}:{(320,1),(324,1),(377,1),(379,1)}
       353:{2,3,5,6}:{(321,1),(322,1),(325,1),(330,1),(375,1),(378,1)}
       354:{1,3,5,7}:{(322,1),(323,1),(331,1),(376,1),(378,1),(379,1),(410,1)}
       355:{2,4,6,7}:{(323,1),(324,1),(327,1),(379,1),(380,1),(381,1),(412,1)}
       356:{1,3,4,6}:{(325,1),(326,1),(333,1),(378,1),(381,1),(386,1),(414,1),(424,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(379,1),(381,1),(382,1),(412,1),(425,1)}
       358:{2,3,7}:{(327,1),(329,1),(335,1)}
       359:{2,3,5}:{(328,1),(329,1),(336,1),(383,1)}
       360:{1,5,6}:{(330,1),(331,1),(333,1)}
       361:{1,2,5,7}:{(331,1),(332,1),(344,1),(379,1),(384,1),(385,1)}
       362:{1,3,6,7}:{(332,1),(335,1),(345,1),(380,1),(385,1),(386,1)}
       363:{1,2,4,6}:{(333,1),(334,1),(337,1),(346,1),(381,1),(384,1),(386,1),(414,1)}
       364:{1,3,5,7}:{(334,1),(335,1),(336,1),(347,1),(382,1),(386,1),(387,1),(415,1)}
       365:{1,3,4}:{(336,1),(339,1),(348,1),(383,1)}
       366:{1,2,3,6}:{(337,1),(338,1),(386,1),(388,1)}
       367:{1,2,4,7}:{(338,1),(339,1),(387,1),(388,1)}
       368:{1,4,5,6}:{(340,1),(341,1),(343,1),(389,1),(414,1)}
       369:{2,4,5,7}:{(341,1),(342,1),(344,1),(389,1),(390,1),(392,1)}
       370:{3,6,7}:{(342,1),(390,1)}
       371:{2,5,6}:{(343,1),(344,1),(346,1)}
       372:{2,3,5,7}:{(344,1),(345,1),(385,1),(390,1),(391,1),(392,1)}
       373:{2,3,6}:{(346,1),(347,1),(386,1)}
       374:{2,3,4,7}:{(347,1),(348,1),(387,1),(392,1),(393,1)}
       375:{2,4,5,6}:{(349,1),(350,1),(353,1),(394,1),(407,1)}
       376:{1,4,5,7}:{(350,1),(351,1),(354,1),(394,1),(395,1),(402,1)}
       377:{2,4,6,7}:{(351,1),(352,1),(395,1),(396,1)}
       378:{1,3,5,6}:{(353,1),(354,1),(356,1),(360,1),(394,1),(397,1),(418,1)}
       379:{2,5,7}:{(354,1),(355,1),(397,1)}
       380:{2,3,6,7}:{(355,1),(358,1),(362,1),(396,1),(398,1),(399,1)}
       381:{2,4,6}:{(356,1),(357,1),(397,1),(399,1)}
       382:{2,3,5,7}:{(357,1),(358,1),(359,1),(364,1),(399,1),(400,1),(421,1)}
       383:{2,3,4}:{(359,1),(365,1)}
       384:{1,2,5,6}:{(360,1),(361,1),(363,1),(371,1),(397,1),(401,1),(404,1)}
       385:{1,3,5,7}:{(361,1),(362,1),(372,1),(398,1),(401,1),(402,1)}
       386:{1,3,6}:{(363,1),(364,1),(373,1),(399,1)}
       387:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(400,1),(402,1),(403,1)}
       388:{1,2,4,6}:{(366,1),(367,1),(403,1),(404,1)}
       389:{2,4,5,6}:{(368,1),(369,1),(371,1),(405,1),(407,1)}
       390:{3,5,7}:{(369,1),(370,1),(405,1),(406,1)}
       391:{2,3,5,6}:{(371,1),(372,1),(373,1),(401,1),(405,1),(407,1),(408,1)}
       392:{2,4,7}:{(372,1),(402,1),(406,1),(407,1)}
       393:{2,3,4,6}:{(373,1),(374,1),(403,1),(407,1),(408,1)}
       394:{1,4,5,6}:{(375,1),(376,1),(378,1),(409,1),(414,1)}
       395:{2,4,5,7}:{(376,1),(377,1),(379,1),(409,1),(410,1),(412,1)}
       396:{3,6,7}:{(377,1),(410,1)}
       397:{2,5,6}:{(378,1),(379,1),(381,1)}
       398:{2,3,5,7}:{(379,1),(380,1),(385,1),(410,1),(411,1),(412,1)}
       399:{2,3,6}:{(381,1),(382,1),(386,1)}
       400:{2,3,4,7}:{(382,1),(383,1),(387,1),(412,1),(413,1)}
       401:{1,3,5,6}:{(384,1),(385,1),(386,1),(391,1),(411,1),(414,1),(415,1)}
       402:{1,4,7}:{(385,1),(392,1),(412,1),(414,1)}
       403:{1,3,4,6}:{(386,1),(387,1),(388,1),(393,1),(413,1),(414,1),(415,1)}
       404:{1,2,5}:{(388,1),(415,1)}
       405:{3,5,6}:{(389,1),(390,1),(416,1)}
       406:{3,4,7}:{(390,1),(392,1),(416,1)}
       407:{2,4,6}:{(391,1),(392,1),(414,1),(416,1),(417,1)}
       408:{2,3,5}:{(393,1),(415,1),(417,1)}
       409:{2,4,5,6}:{(394,1),(395,1),(397,1),(418,1),(420,1)}
       410:{3,5,7}:{(395,1),(396,1),(418,1),(419,1)}
       411:{2,3,5,6}:{(397,1),(398,1),(399,1),(401,1),(418,1),(420,1),(421,1)}
       412:{2,4,7}:{(398,1),(402,1),(419,1),(420,1)}
       413:{2,3,4,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       414:{1,4,6}:{(401,1),(402,1),(407,1),(420,1),(422,1)}
       415:{1,3,5}:{(403,1),(404,1),(408,1),(421,1),(422,1)}
       416:{3,4,6}:{(405,1),(406,1),(407,1),(423,1)}
       417:{2,4,5}:{(407,1),(408,1),(422,1),(423,1)}
       418:{3,5,6}:{(409,1),(410,1),(424,1)}
       419:{3,4,7}:{(410,1),(412,1),(424,1)}
       420:{2,4,6}:{(411,1),(412,1),(414,1),(424,1),(425,1)}
       421:{2,3,5}:{(413,1),(415,1),(425,1)}
       422:{1,4,5}:{(414,1),(415,1),(417,1),(425,1)}
       423:{3,4,5}:{(416,1),(417,1)}
       424:{3,4,6}:{(418,1),(419,1),(420,1),(426,1)}
       425:{2,4,5}:{(420,1),(421,1),(422,1),(426,1)}
       426:{3,4,5}:{(424,1),(425,1)}

2097 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2098 :   0:{2,3,4,6,7}:{(1,1),(2,1),(19,1),(24,1),(44,1),(68,1),(97,1),(114,1),(116,1),(153,1),(165,1),(216,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(31,1),(36,1),(81,1),(85,1),(87,1),(95,1),(137,1),(143,1),(146,1),(190,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(43,1),(94,1),(178,1),(189,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(43,1),(93,1),(94,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(15,1),(48,1),(53,1),(58,1),(107,1),(113,1),(154,1),(156,1),(165,1),(233,1)}
         5:{2,4,6,7}:{(1,1),(15,1),(16,1),(58,1),(59,1),(165,1),(172,1),(175,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(16,1),(17,1),(18,1),(60,1),(123,1),(164,1),(209,1)}
         7:{2,3,5,6}:{(2,1),(17,1),(19,1),(64,1),(116,1),(118,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(20,1),(97,1),(152,1)}
         9:{1,3,5,6,7}:{(3,1),(17,1),(21,1),(22,1),(66,1),(67,1),(122,1),(123,1)}
        10:{2,4,6,7}:{(3,1),(19,1),(22,1),(23,1),(24,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(31,1),(72,1),(81,1),(125,1),(127,1),(135,1),(137,1),(180,1),(183,1),(190,1)}
        12:{2,3,5,7}:{(4,1),(26,1),(27,1),(28,1),(79,1),(134,1),(141,1),(189,1)}
        13:{2,3,5,6,7}:{(27,1),(29,1),(30,1),(79,1),(133,1),(134,1)}
        14:{1,2,4,6,7}:{(5,1),(25,1),(31,1),(32,1),(81,1),(82,1),(95,1),(135,1),(151,1),(188,1),(190,1),(191,1),(192,1),(199,1),(223,1)}
        15:{2,3,6,7}:{(5,1),(31,1),(33,1),(87,1),(139,1),(188,1),(196,1)}
        16:{2,5,7}:{(5,1),(6,1),(34,1),(189,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(34,1),(36,1),(87,1),(146,1),(148,1)}
        18:{1,4,5,7}:{(6,1),(8,1),(35,1),(36,1),(81,1),(136,1)}
        19:{2,4,6}:{(7,1),(8,1),(36,1),(39,1)}
        20:{3,4,5,7}:{(8,1),(39,1),(43,1),(125,1),(178,1)}
        21:{2,5,6,7}:{(9,1),(34,1),(40,1),(94,1),(151,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(36,1),(40,1),(41,1)}
        23:{2,4,5,7}:{(10,1),(38,1),(41,1),(43,1),(94,1),(199,1)}
        24:{3,4,6,7}:{(10,1),(39,1),(43,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(97,1),(98,1),(165,1),(203,1),(206,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(45,1),(46,1),(47,1),(99,1),(163,1),(164,1),(209,1)}
        27:{2,3,5,6}:{(12,1),(46,1),(48,1),(103,1),(156,1),(158,1)}
        28:{2,4,5,7}:{(12,1),(47,1),(48,1),(49,1),(58,1),(112,1)}
        29:{1,3,5,6,7}:{(13,1),(46,1),(50,1),(51,1),(105,1),(106,1),(162,1),(163,1)}
        30:{2,4,6,7}:{(13,1),(48,1),(51,1),(52,1),(53,1)}
        31:{1,3,6,7}:{(14,1),(15,1),(44,1),(54,1),(110,1),(167,1),(211,1),(216,1),(233,1)}
        32:{1,2,5,7}:{(14,1),(16,1),(45,1),(54,1),(55,1),(123,1),(163,1),(177,1),(208,1),(209,1)}
        33:{2,3,5,7}:{(15,1),(16,1),(54,1),(57,1),(58,1),(60,1),(208,1),(233,1)}
        34:{2,5,6}:{(16,1),(17,1),(59,1),(175,1)}
        35:{2,4,5,7}:{(16,1),(18,1),(58,1),(59,1),(60,1),(112,1)}
        36:{1,4,6}:{(17,1),(18,1),(19,1),(59,1)}
        37:{1,3,4,5,7}:{(18,1),(20,1),(60,1),(62,1),(63,1),(67,1),(109,1),(117,1),(120,1),(164,1),(169,1),(176,1),(212,1),(216,1),(235,1)}
        38:{2,4,5,6}:{(19,1),(23,1),(61,1),(64,1),(118,1),(152,1),(215,1)}
        39:{3,4,6}:{(19,1),(20,1),(64,1)}
        40:{2,4,6,7}:{(21,1),(22,1),(59,1),(65,1),(66,1)}
        41:{1,4,5,7}:{(22,1),(23,1),(61,1),(65,1),(67,1),(123,1),(176,1)}
        42:{1,3,4,6,7}:{(22,1),(24,1),(62,1),(66,1),(67,1),(68,1),(120,1),(122,1),(176,1),(216,1)}
        43:{3,5,7}:{(23,1),(24,1),(64,1),(216,1)}
        44:{2,3,6,7}:{(25,1),(31,1),(69,1),(127,1),(139,1),(151,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(70,1),(189,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(70,1),(72,1),(127,1),(183,1),(185,1)}
        47:{1,4,5,7}:{(26,1),(28,1),(71,1),(72,1),(81,1),(136,1)}
        48:{2,4,6}:{(27,1),(28,1),(72,1),(75,1)}
        49:{3,4,5,7}:{(28,1),(75,1),(79,1),(85,1),(141,1)}
        50:{2,5,6,7}:{(29,1),(70,1),(76,1),(134,1),(188,1)}
        51:{1,4,6,7}:{(29,1),(30,1),(72,1),(76,1),(77,1)}
        52:{2,4,5,7}:{(30,1),(74,1),(77,1),(79,1),(134,1),(223,1)}
        53:{3,4,6,7}:{(30,1),(75,1),(79,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(33,1),(69,1),(80,1),(81,1)}
        55:{1,2,5,6}:{(32,1),(34,1),(70,1),(80,1),(82,1),(148,1),(185,1),(189,1),(192,1),(198,1),(222,1),(224,1)}
        56:{1,2,4,5,7}:{(32,1),(35,1),(71,1),(81,1),(82,1),(83,1),(91,1),(131,1),(136,1),(138,1),(147,1),(184,1),(189,1),(191,1),(199,1),(223,1),(224,1),(226,1),(237,1),(240,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(80,1),(84,1),(87,1),(139,1),(141,1),(189,1),(222,1),(238,1),(239,1)}
        58:{2,4,7}:{(33,1),(81,1),(84,1),(85,1)}
        59:{2,4,6}:{(34,1),(35,1),(36,1),(87,1)}
        60:{3,5,7}:{(35,1),(85,1),(87,1),(141,1)}
        61:{1,4,5,6}:{(36,1),(38,1),(41,1),(86,1),(89,1),(136,1),(148,1),(197,1)}
        62:{1,3,4,6}:{(36,1),(37,1),(39,1),(87,1),(89,1),(90,1),(144,1),(146,1),(197,1),(228,1)}
        63:{2,4,5,7}:{(37,1),(88,1),(90,1),(91,1),(94,1),(138,1),(147,1),(149,1),(189,1),(193,1),(199,1),(226,1)}
        64:{3,5,6}:{(38,1),(39,1),(43,1),(178,1),(228,1)}
        65:{2,4,5,7}:{(40,1),(41,1),(86,1),(92,1),(94,1),(149,1)}
        66:{3,6,7}:{(40,1),(87,1),(92,1)}
        67:{1,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(92,1),(94,1)}
        68:{2,4,6,7}:{(42,1),(90,1),(93,1),(94,1),(95,1),(149,1),(151,1),(199,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(54,1),(96,1),(97,1),(99,1),(177,1),(216,1)}
        70:{2,5,6}:{(45,1),(46,1),(98,1),(206,1)}
        71:{2,4,5,7}:{(45,1),(47,1),(97,1),(98,1),(99,1),(152,1)}
        72:{1,4,6}:{(46,1),(47,1),(48,1),(98,1)}
        73:{1,3,4,5,7}:{(47,1),(49,1),(99,1),(101,1),(102,1),(106,1),(109,1),(157,1),(160,1),(164,1),(200,1),(207,1),(229,1),(233,1),(242,1)}
        74:{2,4,5,6}:{(48,1),(52,1),(100,1),(103,1),(112,1),(158,1),(232,1)}
        75:{3,4,6}:{(48,1),(49,1),(103,1)}
        76:{2,4,6,7}:{(50,1),(51,1),(98,1),(104,1),(105,1)}
        77:{1,4,5,7}:{(51,1),(52,1),(100,1),(104,1),(106,1),(163,1),(207,1)}
        78:{1,3,4,6,7}:{(51,1),(53,1),(101,1),(105,1),(106,1),(107,1),(160,1),(162,1),(207,1),(233,1)}
        79:{3,5,7}:{(52,1),(53,1),(103,1),(233,1)}
        80:{1,3,5,6}:{(54,1),(55,1),(57,1),(96,1),(108,1),(110,1),(164,1),(167,1),(209,1),(234,1)}
        81:{1,4,7}:{(54,1),(58,1),(97,1),(108,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(59,1),(98,1),(108,1),(110,1),(119,1),(159,1),(165,1),(175,1),(206,1),(215,1),(232,1)}
        83:{1,3,5,7}:{(56,1),(60,1),(99,1),(109,1),(110,1),(111,1),(164,1),(211,1),(216,1),(233,1),(234,1),(235,1),(242,1)}
        84:{2,4,6}:{(57,1),(58,1),(108,1),(112,1),(113,1),(243,1)}
        85:{3,4,7}:{(58,1),(60,1),(113,1),(233,1)}
        86:{2,4,5,6}:{(59,1),(61,1),(65,1),(112,1),(115,1),(118,1),(173,1)}
        87:{3,6}:{(59,1),(60,1)}
        88:{2,3,5,7}:{(60,1),(63,1),(114,1),(116,1),(117,1),(170,1),(216,1),(235,1)}
        89:{1,3,5,6}:{(61,1),(62,1),(64,1),(67,1),(115,1),(118,1),(164,1)}
        90:{2,4,6}:{(62,1),(63,1),(116,1),(118,1),(119,1),(175,1)}
        91:{1,4,5,7}:{(63,1),(117,1),(119,1),(123,1),(166,1),(176,1),(209,1),(212,1)}
        92:{3,5,7}:{(65,1),(66,1),(115,1),(120,1)}
        93:{2,3,6,7}:{(66,1),(68,1),(116,1),(121,1),(122,1),(216,1)}
        94:{2,5,7}:{(67,1),(68,1),(118,1),(123,1)}
        95:{1,4,6,7}:{(68,1),(119,1),(122,1),(123,1),(176,1)}
        96:{2,3,5,6}:{(69,1),(70,1),(80,1),(124,1),(127,1),(139,1),(178,1),(189,1),(198,1),(227,1),(228,1)}
        97:{2,4,7}:{(69,1),(81,1),(124,1),(125,1)}
        98:{2,4,6}:{(70,1),(71,1),(72,1),(127,1)}
        99:{3,5,7}:{(71,1),(125,1),(127,1),(178,1)}
       100:{1,4,5,6}:{(72,1),(74,1),(77,1),(126,1),(129,1),(136,1),(185,1),(221,1)}
       101:{1,3,4,6}:{(72,1),(73,1),(75,1),(127,1),(129,1),(130,1),(181,1),(183,1),(221,1),(239,1)}
       102:{2,4,5,7}:{(73,1),(128,1),(130,1),(131,1),(134,1),(138,1),(184,1),(186,1),(189,1),(217,1),(223,1),(237,1)}
       103:{3,5,6}:{(74,1),(75,1),(79,1),(141,1),(239,1)}
       104:{2,4,5,7}:{(76,1),(77,1),(126,1),(132,1),(134,1),(186,1)}
       105:{3,6,7}:{(76,1),(127,1),(132,1)}
       106:{1,3,5,7}:{(77,1),(78,1),(79,1),(129,1),(132,1),(134,1)}
       107:{2,4,6,7}:{(78,1),(130,1),(133,1),(134,1),(135,1),(186,1),(188,1),(223,1)}
       108:{1,4,6}:{(80,1),(81,1),(84,1),(124,1),(136,1),(240,1)}
       109:{1,3,4,7}:{(81,1),(83,1),(85,1),(125,1),(137,1),(138,1),(240,1),(241,1),(244,1)}
       110:{1,3,6}:{(82,1),(83,1),(87,1),(127,1),(139,1),(228,1),(239,1)}
       111:{2,3,5,7}:{(83,1),(138,1),(139,1),(140,1),(147,1),(184,1),(189,1),(196,1),(220,1),(227,1),(238,1)}
       112:{2,4,5}:{(84,1),(136,1),(141,1),(189,1)}
       113:{3,4,6}:{(84,1),(85,1),(87,1),(141,1),(239,1),(244,1)}
       114:{2,3,4,7}:{(85,1),(88,1),(138,1),(142,1),(143,1),(149,1),(220,1),(241,1)}
       115:{3,5,6}:{(86,1),(87,1),(92,1),(141,1),(144,1)}
       116:{2,3,6}:{(87,1),(88,1),(90,1),(146,1),(228,1)}
       117:{1,3,5,7}:{(88,1),(91,1),(143,1),(146,1),(147,1),(194,1)}
       118:{2,5,6}:{(89,1),(90,1),(94,1),(148,1),(189,1)}
       119:{1,4,6}:{(90,1),(91,1),(146,1),(148,1)}
       120:{3,4,7}:{(92,1),(144,1),(149,1)}
       121:{2,3,5,7}:{(92,1),(93,1),(94,1),(145,1),(149,1),(150,1)}
       122:{1,3,6,7}:{(93,1),(95,1),(146,1),(150,1),(151,1)}
       123:{1,5,7}:{(94,1),(95,1),(148,1)}
       124:{2,4,6}:{(96,1),(97,1),(108,1),(152,1),(153,1),(236,1)}
       125:{3,4,7}:{(97,1),(99,1),(153,1),(216,1)}
       126:{2,4,5,6}:{(98,1),(100,1),(104,1),(152,1),(155,1),(158,1),(204,1)}
       127:{3,6}:{(98,1),(99,1)}
       128:{2,3,5,7}:{(99,1),(102,1),(154,1),(156,1),(157,1),(201,1),(233,1),(242,1)}
       129:{1,3,5,6}:{(100,1),(101,1),(103,1),(106,1),(155,1),(158,1),(164,1)}
       130:{2,4,6}:{(101,1),(102,1),(156,1),(158,1),(159,1),(206,1)}
       131:{1,4,5,7}:{(102,1),(157,1),(159,1),(163,1),(166,1),(207,1),(209,1),(229,1)}
       132:{3,5,7}:{(104,1),(105,1),(155,1),(160,1)}
       133:{2,3,6,7}:{(105,1),(107,1),(156,1),(161,1),(162,1),(233,1)}
       134:{2,5,7}:{(106,1),(107,1),(158,1),(163,1)}
       135:{1,4,6,7}:{(107,1),(159,1),(162,1),(163,1),(207,1)}
       136:{1,4,5}:{(108,1),(112,1),(152,1),(164,1),(209,1)}
       137:{1,3,4,6}:{(108,1),(109,1),(110,1),(113,1),(153,1),(164,1),(165,1)}
       138:{2,4,7}:{(109,1),(111,1),(165,1),(166,1),(236,1),(243,1)}
       139:{2,3,6}:{(110,1),(111,1),(165,1),(167,1),(175,1),(206,1)}
       140:{1,3,5,7}:{(111,1),(166,1),(167,1),(168,1),(209,1),(211,1),(234,1)}
       141:{3,5}:{(112,1),(113,1)}
       142:{2,3,4,6}:{(113,1),(114,1),(116,1),(165,1),(170,1),(171,1),(173,1),(231,1),(243,1)}
       143:{1,3,4,7}:{(114,1),(117,1),(166,1),(171,1),(172,1),(176,1),(211,1),(216,1)}
       144:{3,4,6}:{(115,1),(120,1),(169,1),(173,1)}
       145:{2,3,5,6}:{(115,1),(116,1),(118,1),(121,1),(170,1),(173,1),(174,1)}
       146:{1,3,6}:{(116,1),(117,1),(119,1),(175,1)}
       147:{2,5,7}:{(117,1),(172,1),(175,1),(213,1)}
       148:{1,5,6}:{(118,1),(119,1),(123,1),(209,1)}
       149:{2,4,7}:{(120,1),(121,1),(173,1),(176,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(123,1),(174,1),(176,1),(177,1),(216,1)}
       151:{2,6,7}:{(122,1),(175,1),(177,1)}
       152:{2,4,5}:{(124,1),(136,1),(178,1),(189,1)}
       153:{3,4,6}:{(124,1),(125,1),(127,1),(178,1),(228,1),(241,1)}
       154:{2,3,4,7}:{(125,1),(128,1),(138,1),(179,1),(180,1),(186,1),(196,1),(244,1)}
       155:{3,5,6}:{(126,1),(127,1),(132,1),(178,1),(181,1)}
       156:{2,3,6}:{(127,1),(128,1),(130,1),(183,1),(239,1)}
       157:{1,3,5,7}:{(128,1),(131,1),(180,1),(183,1),(184,1),(218,1)}
       158:{2,5,6}:{(129,1),(130,1),(134,1),(185,1),(189,1)}
       159:{1,4,6}:{(130,1),(131,1),(183,1),(185,1)}
       160:{3,4,7}:{(132,1),(181,1),(186,1)}
       161:{2,3,5,7}:{(132,1),(133,1),(134,1),(182,1),(186,1),(187,1)}
       162:{1,3,6,7}:{(133,1),(135,1),(183,1),(187,1),(188,1)}
       163:{1,5,7}:{(134,1),(135,1),(185,1)}
       164:{1,3,5}:{(136,1),(137,1),(141,1),(178,1),(189,1)}
       165:{2,4,6}:{(137,1),(138,1),(139,1),(189,1),(190,1)}
       166:{1,4,7}:{(138,1),(140,1),(190,1),(240,1)}
       167:{1,3,6}:{(139,1),(140,1),(190,1),(192,1)}
       168:{1,2,5,7}:{(140,1),(147,1),(184,1),(191,1),(192,1),(224,1)}
       169:{3,4,5}:{(141,1),(144,1),(193,1),(244,1)}
       170:{2,3,5}:{(141,1),(142,1),(189,1),(193,1),(194,1)}
       171:{1,3,4,6}:{(142,1),(143,1),(146,1),(190,1),(194,1),(195,1),(197,1),(225,1),(228,1),(240,1),(241,1)}
       172:{2,4,7}:{(143,1),(147,1),(195,1),(196,1)}
       173:{2,4,6}:{(144,1),(145,1),(149,1),(193,1),(197,1)}
       174:{1,3,5,6}:{(145,1),(146,1),(148,1),(150,1),(194,1),(197,1),(198,1),(228,1)}
       175:{2,6}:{(146,1),(147,1)}
       176:{1,4,7}:{(149,1),(150,1),(197,1),(199,1)}
       177:{2,5,7}:{(150,1),(151,1),(198,1),(199,1)}
       178:{3,5}:{(152,1),(153,1)}
       179:{2,3,4,6}:{(153,1),(154,1),(156,1),(165,1),(201,1),(202,1),(204,1),(214,1),(236,1)}
       180:{1,3,4,7}:{(154,1),(157,1),(166,1),(202,1),(203,1),(207,1),(211,1),(233,1)}
       181:{3,4,6}:{(155,1),(160,1),(200,1),(204,1)}
       182:{2,3,5,6}:{(155,1),(156,1),(158,1),(161,1),(201,1),(204,1),(205,1)}
       183:{1,3,6}:{(156,1),(157,1),(159,1),(206,1)}
       184:{2,5,7}:{(157,1),(203,1),(206,1),(230,1)}
       185:{1,5,6}:{(158,1),(159,1),(163,1),(209,1)}
       186:{2,4,7}:{(160,1),(161,1),(204,1),(207,1)}
       187:{1,3,5,7}:{(161,1),(162,1),(163,1),(205,1),(207,1),(208,1),(233,1)}
       188:{2,6,7}:{(162,1),(206,1),(208,1)}
       189:{2,5}:{(164,1),(165,1),(209,1)}
       190:{1,4,6}:{(165,1),(166,1),(167,1),(209,1)}
       191:{1,2,4,7}:{(166,1),(168,1),(172,1),(203,1),(210,1),(211,1)}
       192:{1,2,6}:{(167,1),(168,1),(175,1),(206,1)}
       193:{2,4,5}:{(169,1),(170,1),(173,1),(212,1),(243,1)}
       194:{1,3,5}:{(170,1),(171,1),(209,1),(212,1),(213,1),(235,1)}
       195:{2,4,6}:{(171,1),(172,1),(175,1),(213,1),(214,1),(236,1)}
       196:{2,3,7}:{(172,1),(211,1),(214,1),(216,1)}
       197:{1,4,6}:{(173,1),(174,1),(176,1),(212,1),(215,1)}
       198:{2,5,6}:{(174,1),(175,1),(177,1),(213,1),(215,1)}
       199:{2,4,7}:{(176,1),(177,1),(215,1),(216,1)}
       200:{3,4,5}:{(178,1),(181,1),(217,1),(241,1)}
       201:{2,3,5}:{(178,1),(179,1),(189,1),(217,1),(218,1)}
       202:{1,3,4,6}:{(179,1),(180,1),(183,1),(190,1),(218,1),(219,1),(221,1),(225,1),(239,1),(240,1),(244,1)}
       203:{2,4,7}:{(180,1),(184,1),(219,1),(220,1)}
       204:{2,4,6}:{(181,1),(182,1),(186,1),(217,1),(221,1)}
       205:{1,3,5,6}:{(182,1),(183,1),(185,1),(187,1),(218,1),(221,1),(222,1),(239,1)}
       206:{2,6}:{(183,1),(184,1)}
       207:{1,4,7}:{(186,1),(187,1),(221,1),(223,1)}
       208:{2,5,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(195,1),(219,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(191,1),(196,1),(220,1),(225,1)}
       212:{1,4,5}:{(193,1),(194,1),(197,1),(226,1),(240,1)}
       213:{2,5}:{(194,1),(195,1)}
       214:{2,3,6}:{(195,1),(196,1),(225,1),(227,1),(228,1)}
       215:{2,4,6}:{(197,1),(198,1),(199,1),(226,1),(228,1)}
       216:{3,7}:{(199,1),(228,1)}
       217:{2,4,5}:{(200,1),(201,1),(204,1),(229,1),(236,1)}
       218:{1,3,5}:{(201,1),(202,1),(209,1),(229,1),(230,1),(242,1)}
       219:{2,4,6}:{(202,1),(203,1),(206,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(211,1),(231,1),(233,1)}
       221:{1,4,6}:{(204,1),(205,1),(207,1),(229,1),(232,1)}
       222:{2,5,6}:{(205,1),(206,1),(208,1),(230,1),(232,1)}
       223:{2,4,7}:{(207,1),(208,1),(232,1),(233,1)}
       224:{1,2,5}:{(209,1),(210,1),(213,1),(230,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(214,1),(231,1),(234,1)}
       226:{2,4,5}:{(212,1),(213,1),(215,1),(235,1),(236,1)}
       227:{2,3,5}:{(213,1),(214,1),(234,1),(235,1),(236,1)}
       228:{3,6}:{(215,1),(216,1),(235,1)}
       229:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(225,1),(238,1),(239,1)}
       232:{2,4,6}:{(221,1),(222,1),(223,1),(237,1),(239,1)}
       233:{3,7}:{(223,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(227,1),(238,1),(240,1)}
       235:{3,5}:{(226,1),(228,1),(241,1)}
       236:{2,4}:{(227,1),(240,1),(241,1)}
       237:{2,4,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{2,3,5}:{(230,1),(231,1),(234,1),(242,1),(243,1)}
       239:{3,6}:{(232,1),(233,1),(242,1)}
       240:{1,4}:{(234,1),(236,1),(243,1)}
       241:{3,4}:{(235,1),(236,1)}
       242:{3,5}:{(237,1),(239,1),(244,1)}
       243:{2,4}:{(238,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2099 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(48,1),(112,1),(138,1),(189,1),(192,1),(207,1),(219,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(31,1),(35,1),(257,1),(258,1),(259,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(31,1),(43,1),(88,1),(100,1),(161,1),(175,1),(180,1),(251,1),(262,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(75,1),(148,1),(235,1),(250,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(19,1),(53,1),(67,1),(134,1),(137,1),(193,1),(207,1),(276,1)}
         5:{1,2,4,7}:{(1,1),(14,1),(16,1),(300,1)}
         6:{1,2,3,6}:{(1,1),(16,1),(55,1),(298,1)}
         7:{2,3,4,7}:{(14,1),(19,1),(20,1),(134,1),(310,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(21,1),(67,1),(68,1),(134,1),(224,1),(304,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(23,1),(55,1),(121,1),(135,1),(293,1)}
        10:{2,3,4,6,7}:{(3,1),(22,1),(24,1),(73,1),(109,1),(189,1),(219,1),(226,1),(275,1),(289,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(278,1),(292,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(31,1),(80,1),(88,1),(151,1),(161,1),(232,1),(237,1),(251,1),(316,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(38,1),(97,1),(178,1),(250,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(161,1),(335,1)}
        15:{1,2,4,5,7}:{(5,1),(8,1),(27,1),(31,1),(33,1),(35,1),(88,1),(89,1),(161,1),(251,1),(252,1),(257,1),(330,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(32,1),(35,1)}
        17:{1,2,3,6,7}:{(6,1),(34,1),(36,1),(85,1),(169,1),(253,1),(259,1),(336,1),(337,1),(387,1)}
        18:{1,2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(86,1),(91,1),(93,1),(168,1),(169,1),(255,1),(258,1),(331,1),(337,1),(388,1),(390,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(31,1),(38,1),(40,1),(268,1),(342,1)}
        20:{2,3,4,6}:{(7,1),(32,1),(38,1),(40,1),(97,1)}
        21:{2,4,6}:{(8,1),(9,1),(38,1),(42,1)}
        22:{1,3,4,6,7}:{(9,1),(10,1),(41,1),(43,1),(85,1),(104,1),(161,1),(175,1),(182,1),(262,1),(271,1),(329,1)}
        23:{1,3,5,6}:{(9,1),(11,1),(42,1),(43,1),(44,1),(103,1),(332,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(314,1),(328,1)}
        25:{2,4,5,6}:{(11,1),(44,1),(46,1),(47,1),(148,1)}
        26:{2,3,4,7}:{(14,1),(48,1),(49,1),(189,1),(358,1)}
        27:{2,4,5,7}:{(12,1),(48,1),(50,1),(112,1),(113,1),(189,1),(281,1),(352,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(52,1),(55,1),(121,1),(190,1),(293,1)}
        29:{2,3,4,6,7}:{(13,1),(51,1),(53,1),(64,1),(118,1),(134,1),(218,1),(276,1),(283,1),(289,1)}
        30:{2,3,5,6}:{(13,1),(52,1),(53,1),(54,1),(221,1),(292,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(19,1),(48,1),(55,1),(57,1),(295,1),(364,1)}
        32:{1,3,4,6}:{(14,1),(16,1),(20,1),(49,1),(55,1),(57,1),(121,1)}
        33:{1,2,4,6}:{(15,1),(21,1),(50,1),(55,1),(59,1),(121,1),(293,1),(298,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(56,1),(60,1),(62,1),(128,1),(215,1),(289,1),(298,1),(368,1)}
        35:{1,2,5}:{(16,1),(57,1)}
        36:{1,2,3,5,7}:{(17,1),(18,1),(60,1),(62,1),(120,1),(129,1),(210,1),(297,1),(364,1),(404,1)}
        37:{1,2,4,6}:{(18,1),(61,1),(62,1),(63,1),(121,1),(204,1),(300,1),(405,1)}
        38:{2,3,6}:{(19,1),(21,1),(55,1)}
        39:{2,3,4,6,7}:{(20,1),(56,1),(64,1),(66,1),(131,1),(134,1),(136,1),(212,1),(218,1),(289,1),(399,1),(402,1),(422,1)}
        40:{2,3,5}:{(20,1),(57,1),(67,1)}
        41:{2,4,6,7}:{(21,1),(22,1),(64,1),(68,1),(134,1),(304,1),(313,1)}
        42:{2,5,6}:{(21,1),(23,1),(68,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(24,1),(68,1),(71,1),(140,1),(362,1)}
        44:{1,4,5,6}:{(23,1),(25,1),(69,1),(71,1),(121,1)}
        45:{2,3,5,6,7}:{(24,1),(70,1),(73,1),(146,1),(226,1),(229,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(71,1),(73,1),(74,1),(189,1)}
        47:{3,4,5,6}:{(25,1),(74,1),(190,1),(278,1)}
        48:{2,3,5,7}:{(26,1),(27,1),(31,1),(75,1),(77,1),(322,1),(379,1)}
        49:{2,3,4,6}:{(26,1),(32,1),(75,1),(77,1),(148,1)}
        50:{2,4,6}:{(27,1),(28,1),(75,1),(79,1)}
        51:{1,3,4,6,7}:{(28,1),(29,1),(78,1),(80,1),(85,1),(155,1),(161,1),(232,1),(239,1),(316,1),(325,1),(329,1)}
        52:{1,3,5,6}:{(28,1),(30,1),(79,1),(80,1),(81,1),(154,1),(332,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(80,1),(83,1),(260,1),(328,1)}
        54:{2,4,5,6}:{(30,1),(81,1),(83,1),(84,1),(97,1)}
        55:{1,3,6}:{(31,1),(33,1),(38,1),(75,1)}
        56:{1,3,4,6,7}:{(32,1),(34,1),(39,1),(76,1),(85,1),(87,1),(94,1),(161,1),(163,1),(169,1),(172,1),(256,1),(329,1),(387,1),(389,1),(417,1)}
        57:{1,3,5}:{(32,1),(35,1),(40,1),(77,1),(88,1)}
        58:{1,2,4,6,7}:{(33,1),(41,1),(78,1),(85,1),(89,1),(161,1),(329,1),(330,1),(336,1)}
        59:{1,2,5,6}:{(33,1),(35,1),(42,1),(79,1),(86,1),(89,1),(332,1)}
        60:{1,2,5,7}:{(34,1),(35,1),(87,1),(91,1),(328,1),(390,1)}
        61:{1,2,4,5}:{(35,1),(37,1),(88,1),(93,1),(165,1),(390,1),(418,1)}
        62:{1,2,4,7}:{(36,1),(37,1),(94,1),(161,1),(247,1),(417,1)}
        63:{1,3,4,6}:{(37,1),(93,1),(94,1),(95,1),(169,1),(331,1),(335,1)}
        64:{2,3,6,7}:{(38,1),(41,1),(85,1),(96,1),(182,1),(342,1)}
        65:{2,3,5,6}:{(38,1),(40,1),(42,1),(86,1),(96,1),(97,1),(103,1)}
        66:{2,3,5,7}:{(39,1),(40,1),(87,1),(98,1),(99,1),(260,1),(328,1),(415,1)}
        67:{2,4,5}:{(40,1),(88,1),(97,1),(100,1)}
        68:{2,5,7}:{(41,1),(42,1),(43,1)}
        69:{2,4,5,6}:{(42,1),(44,1),(97,1),(102,1),(103,1)}
        70:{1,3,5,6,7}:{(43,1),(45,1),(101,1),(104,1),(182,1),(271,1),(273,1)}
        71:{1,4,5,7}:{(43,1),(44,1),(46,1),(102,1),(104,1),(161,1)}
        72:{1,3,4,5,6}:{(44,1),(47,1),(103,1),(105,1),(106,1),(162,1),(184,1),(249,1),(264,1),(343,1),(393,1)}
        73:{2,4,6,7}:{(45,1),(46,1),(104,1),(108,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(108,1),(232,1),(314,1)}
        75:{2,3,6}:{(48,1),(50,1),(55,1)}
        76:{2,3,4,6,7}:{(49,1),(56,1),(109,1),(111,1),(131,1),(189,1),(191,1),(212,1),(275,1),(289,1),(371,1),(374,1),(408,1)}
        77:{2,3,5}:{(49,1),(57,1),(112,1)}
        78:{2,4,6,7}:{(50,1),(51,1),(109,1),(113,1),(189,1),(352,1),(361,1)}
        79:{2,5,6}:{(50,1),(52,1),(113,1)}
        80:{1,3,5,7}:{(51,1),(52,1),(53,1),(113,1),(116,1),(195,1),(362,1)}
        81:{1,4,5,6}:{(52,1),(54,1),(114,1),(116,1),(121,1)}
        82:{2,3,5,6,7}:{(53,1),(115,1),(118,1),(201,1),(283,1),(286,1)}
        83:{2,4,5,7}:{(53,1),(54,1),(116,1),(118,1),(119,1),(134,1)}
        84:{3,4,5,6}:{(54,1),(119,1),(135,1),(221,1)}
        85:{1,3,6,7}:{(55,1),(58,1),(64,1),(109,1),(120,1),(364,1)}
        86:{1,3,5,6}:{(55,1),(57,1),(59,1),(65,1),(110,1),(120,1),(121,1)}
        87:{1,3,5,7}:{(56,1),(57,1),(60,1),(66,1),(111,1),(122,1),(123,1),(362,1),(406,1)}
        88:{1,4,5}:{(57,1),(67,1),(112,1),(121,1)}
        89:{1,2,5,7}:{(58,1),(59,1),(68,1),(113,1),(120,1),(362,1)}
        90:{1,2,4,5,6}:{(59,1),(61,1),(69,1),(114,1),(121,1),(126,1),(127,1),(128,1),(145,1),(200,1),(204,1),(205,1),(228,1),(285,1),(291,1),(292,1),(365,1),(372,1),(400,1),(405,1)}
        91:{1,2,5,6}:{(60,1),(122,1),(128,1),(292,1),(298,1)}
        92:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(123,1),(128,1),(129,1),(207,1)}
        93:{1,3,5}:{(61,1),(63,1),(130,1)}
        94:{1,3,4,7}:{(62,1),(63,1),(129,1),(131,1),(364,1)}
        95:{2,3,4,6}:{(63,1),(130,1),(131,1),(132,1),(204,1),(212,1),(305,1),(310,1),(353,1),(358,1)}
        96:{2,3,5,7}:{(64,1),(65,1),(68,1),(120,1),(134,1),(140,1)}
        97:{2,4,6}:{(65,1),(67,1),(121,1),(134,1),(135,1)}
        98:{2,3,5,6}:{(66,1),(122,1),(136,1),(212,1),(221,1),(292,1)}
        99:{2,4,5,7}:{(66,1),(67,1),(123,1),(134,1),(136,1),(137,1),(422,1),(424,1)}
       100:{3,4,5}:{(67,1),(135,1)}
       101:{2,5,6,7}:{(68,1),(70,1),(139,1),(313,1)}
       102:{2,4,5,7}:{(68,1),(69,1),(71,1),(134,1),(139,1),(140,1)}
       103:{3,5,6}:{(69,1),(135,1),(140,1)}
       104:{1,4,6,7}:{(70,1),(71,1),(73,1),(139,1)}
       105:{1,3,4,5,7}:{(71,1),(72,1),(74,1),(140,1),(143,1),(144,1),(203,1),(227,1),(288,1),(301,1),(369,1),(407,1)}
       106:{2,4,5,6}:{(72,1),(141,1),(144,1),(145,1),(204,1),(228,1),(292,1)}
       107:{2,4,5,6,7}:{(73,1),(142,1),(146,1),(229,1),(274,1),(375,1)}
       108:{3,4,6,7}:{(73,1),(74,1),(146,1)}
       109:{2,3,6,7}:{(75,1),(78,1),(85,1),(147,1),(239,1),(379,1)}
       110:{2,3,5,6}:{(75,1),(77,1),(79,1),(86,1),(147,1),(148,1),(154,1)}
       111:{2,3,5,7}:{(76,1),(77,1),(87,1),(149,1),(150,1),(314,1),(328,1),(395,1)}
       112:{2,4,5}:{(77,1),(88,1),(148,1),(151,1)}
       113:{2,5,7}:{(78,1),(79,1),(80,1)}
       114:{2,4,5,6}:{(79,1),(81,1),(148,1),(153,1),(154,1)}
       115:{1,3,5,6,7}:{(80,1),(82,1),(152,1),(155,1),(239,1),(325,1),(327,1)}
       116:{1,4,5,7}:{(80,1),(81,1),(83,1),(153,1),(155,1),(161,1)}
       117:{1,3,4,5,6}:{(81,1),(84,1),(154,1),(156,1),(157,1),(162,1),(241,1),(249,1),(318,1),(380,1),(413,1)}
       118:{2,4,6,7}:{(82,1),(83,1),(155,1),(159,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(159,1),(175,1),(260,1)}
       120:{1,3,5,7}:{(85,1),(86,1),(89,1),(96,1),(147,1),(161,1)}
       121:{1,4,6}:{(86,1),(88,1),(97,1),(148,1),(161,1)}
       122:{1,3,5,6}:{(87,1),(91,1),(98,1),(149,1),(163,1),(169,1),(256,1),(332,1)}
       123:{1,4,5,7}:{(87,1),(88,1),(99,1),(150,1),(161,1),(163,1),(417,1),(418,1)}
       124:{1,3,4,5}:{(88,1),(93,1),(100,1),(151,1),(162,1),(165,1),(418,1),(420,1),(426,1)}
       125:{1,2,5,6,7}:{(89,1),(91,1),(101,1),(152,1),(160,1),(166,1),(273,1),(327,1),(328,1),(336,1),(348,1),(385,1),(386,1)}
       126:{1,2,4,5,7}:{(89,1),(90,1),(102,1),(153,1),(161,1),(166,1),(167,1),(187,1),(244,1),(245,1),(247,1),(272,1),(326,1),(328,1),(330,1),(386,1),(391,1),(411,1),(417,1)}
       127:{1,3,5,6}:{(90,1),(93,1),(103,1),(154,1),(162,1),(167,1),(168,1),(169,1),(331,1),(393,1),(413,1)}
       128:{1,2,4,6}:{(91,1),(92,1),(163,1),(169,1),(250,1)}
       129:{1,3,5,7}:{(92,1),(93,1),(94,1),(169,1),(170,1)}
       130:{2,3,5}:{(93,1),(95,1),(165,1),(171,1)}
       131:{2,3,4,7}:{(94,1),(95,1),(170,1),(172,1),(247,1),(342,1),(379,1)}
       132:{1,3,4,6}:{(95,1),(171,1),(172,1),(173,1),(248,1),(256,1),(331,1),(335,1)}
       133:{2,3,5,6,7}:{(96,1),(98,1),(101,1),(160,1),(174,1),(182,1),(253,1),(260,1),(328,1),(385,1),(412,1),(416,1)}
       134:{2,4,7}:{(96,1),(97,1),(161,1),(175,1)}
       135:{3,4,6}:{(97,1),(100,1),(103,1),(175,1)}
       136:{2,4,6}:{(98,1),(99,1),(163,1),(178,1)}
       137:{3,4,5,7}:{(99,1),(100,1),(175,1),(178,1),(260,1),(425,1),(426,1)}
       138:{2,3,4,5}:{(100,1),(165,1),(176,1),(180,1),(322,1),(420,1)}
       139:{2,4,6,7}:{(101,1),(102,1),(104,1),(182,1)}
       140:{3,5,7}:{(102,1),(103,1),(175,1),(182,1)}
       141:{2,3,5,6}:{(103,1),(106,1),(176,1),(183,1),(184,1),(393,1)}
       142:{1,4,5,6,7}:{(104,1),(107,1),(181,1),(185,1),(245,1),(273,1),(347,1)}
       143:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(182,1),(185,1),(186,1),(269,1),(271,1),(347,1),(396,1)}
       144:{2,4,5,7}:{(105,1),(106,1),(183,1),(186,1),(187,1),(247,1),(272,1),(328,1)}
       145:{1,4,5,6}:{(106,1),(184,1),(187,1),(248,1),(332,1)}
       146:{3,5,6,7}:{(107,1),(108,1),(314,1),(396,1)}
       147:{2,3,5,7}:{(109,1),(110,1),(113,1),(120,1),(189,1),(195,1)}
       148:{2,4,6}:{(110,1),(112,1),(121,1),(189,1),(190,1)}
       149:{2,3,5,6}:{(111,1),(122,1),(191,1),(212,1),(278,1),(292,1)}
       150:{2,4,5,7}:{(111,1),(112,1),(123,1),(189,1),(191,1),(192,1),(408,1),(410,1)}
       151:{3,4,5}:{(112,1),(190,1)}
       152:{2,5,6,7}:{(113,1),(115,1),(194,1),(361,1)}
       153:{2,4,5,7}:{(113,1),(114,1),(116,1),(189,1),(194,1),(195,1)}
       154:{3,5,6}:{(114,1),(190,1),(195,1)}
       155:{1,4,6,7}:{(115,1),(116,1),(118,1),(194,1)}
       156:{1,3,4,5,7}:{(116,1),(117,1),(119,1),(195,1),(198,1),(199,1),(203,1),(284,1),(288,1),(349,1),(397,1),(421,1)}
       157:{2,4,5,6}:{(117,1),(196,1),(199,1),(200,1),(204,1),(285,1),(292,1)}
       158:{2,4,5,6,7}:{(118,1),(197,1),(201,1),(217,1),(286,1),(403,1)}
       159:{3,4,6,7}:{(118,1),(119,1),(201,1)}
       160:{1,3,5,6,7}:{(120,1),(122,1),(125,1),(133,1),(188,1),(202,1),(209,1),(288,1),(296,1),(362,1),(404,1)}
       161:{1,4,7}:{(120,1),(121,1),(134,1),(189,1)}
       162:{1,3,4,6}:{(121,1),(124,1),(127,1),(135,1),(190,1),(203,1),(204,1),(405,1),(409,1),(423,1)}
       163:{1,4,6}:{(122,1),(123,1),(136,1),(191,1)}
       164:{1,3,4,5,7}:{(123,1),(124,1),(129,1),(137,1),(192,1),(203,1),(206,1),(207,1),(288,1)}
       165:{2,4,5}:{(124,1),(130,1),(204,1),(208,1)}
       166:{1,2,4,6,7}:{(125,1),(126,1),(128,1),(139,1),(194,1),(202,1),(209,1),(230,1),(287,1),(289,1),(313,1),(361,1),(375,1),(403,1)}
       167:{1,3,5,7}:{(126,1),(127,1),(140,1),(195,1),(203,1),(209,1),(210,1),(364,1),(407,1),(421,1)}
       168:{2,3,5,6}:{(127,1),(130,1),(204,1),(210,1),(211,1),(212,1),(228,1),(285,1),(292,1),(305,1),(353,1)}
       169:{1,3,6}:{(128,1),(129,1),(212,1)}
       170:{2,3,5,7}:{(129,1),(130,1),(131,1),(207,1),(212,1),(213,1)}
       171:{1,3,5}:{(130,1),(132,1),(208,1),(214,1)}
       172:{1,3,4,7}:{(131,1),(132,1),(213,1),(215,1),(290,1),(364,1)}
       173:{1,2,4,6}:{(132,1),(214,1),(215,1),(216,1),(298,1),(300,1)}
       174:{2,4,6,7}:{(133,1),(134,1),(136,1),(202,1),(217,1),(218,1),(422,1)}
       175:{3,4,7}:{(134,1),(135,1),(140,1)}
       176:{2,3,4,6}:{(135,1),(138,1),(141,1),(204,1),(219,1),(220,1),(353,1),(409,1)}
       177:{2,4,5,6}:{(136,1),(205,1),(217,1),(221,1),(292,1)}
       178:{3,4,6}:{(136,1),(137,1),(221,1)}
       179:{2,3,4,5,7}:{(137,1),(138,1),(207,1),(219,1),(222,1),(223,1),(302,1),(357,1),(422,1),(424,1)}
       180:{1,3,4,5}:{(138,1),(208,1),(220,1),(224,1),(295,1)}
       181:{2,4,5,6,7}:{(139,1),(142,1),(217,1),(225,1),(229,1),(311,1)}
       182:{3,6,7}:{(139,1),(140,1)}
       183:{2,3,5,7}:{(140,1),(141,1),(144,1),(219,1),(226,1),(227,1),(407,1)}
       184:{1,3,5,6}:{(141,1),(145,1),(220,1),(227,1),(228,1)}
       185:{1,3,5,6,7}:{(142,1),(143,1),(146,1),(225,1),(229,1),(288,1)}
       186:{2,4,6,7}:{(143,1),(144,1),(226,1),(229,1),(230,1),(313,1)}
       187:{1,4,5,7}:{(144,1),(145,1),(227,1),(230,1),(290,1),(362,1)}
       188:{2,3,5,6,7}:{(147,1),(149,1),(152,1),(160,1),(231,1),(239,1),(253,1),(314,1),(328,1),(348,1),(392,1),(396,1)}
       189:{2,4,7}:{(147,1),(148,1),(161,1),(232,1)}
       190:{3,4,6}:{(148,1),(151,1),(154,1),(232,1)}
       191:{2,4,6}:{(149,1),(150,1),(163,1),(235,1)}
       192:{3,4,5,7}:{(150,1),(151,1),(232,1),(235,1),(314,1),(419,1),(420,1)}
       193:{2,3,4,5}:{(151,1),(165,1),(233,1),(237,1),(268,1),(426,1)}
       194:{2,4,6,7}:{(152,1),(153,1),(155,1),(239,1)}
       195:{3,5,7}:{(153,1),(154,1),(232,1),(239,1)}
       196:{2,3,5,6}:{(154,1),(157,1),(233,1),(240,1),(241,1),(413,1)}
       197:{1,4,5,6,7}:{(155,1),(158,1),(238,1),(242,1),(245,1),(327,1),(384,1)}
       198:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(239,1),(242,1),(243,1),(323,1),(325,1),(384,1),(416,1)}
       199:{2,4,5,7}:{(156,1),(157,1),(240,1),(243,1),(244,1),(247,1),(326,1),(328,1)}
       200:{1,4,5,6}:{(157,1),(241,1),(244,1),(248,1),(332,1)}
       201:{3,5,6,7}:{(158,1),(159,1),(260,1),(416,1)}
       202:{1,4,6,7}:{(160,1),(161,1),(163,1),(174,1),(231,1),(245,1),(417,1)}
       203:{1,3,4,7}:{(161,1),(162,1),(167,1),(175,1),(232,1),(247,1),(417,1),(419,1),(425,1)}
       204:{2,4,6}:{(162,1),(165,1),(168,1),(247,1),(248,1)}
       205:{1,4,5,6}:{(163,1),(177,1),(234,1),(245,1),(249,1),(332,1)}
       206:{1,3,4,6}:{(163,1),(164,1),(169,1),(178,1),(235,1),(249,1),(250,1)}
       207:{2,4,5,7}:{(164,1),(165,1),(170,1),(247,1),(250,1),(251,1),(328,1)}
       208:{1,4,5}:{(165,1),(171,1),(248,1)}
       209:{1,3,6,7}:{(166,1),(167,1),(169,1),(182,1),(239,1),(253,1),(396,1),(416,1)}
       210:{2,3,5,7}:{(167,1),(168,1),(247,1),(253,1),(254,1),(272,1),(326,1),(328,1),(342,1),(379,1)}
       211:{1,3,5,6}:{(168,1),(171,1),(248,1),(254,1),(255,1),(256,1),(331,1),(332,1)}
       212:{2,3,6}:{(169,1),(170,1),(250,1),(256,1)}
       213:{1,3,5,7}:{(170,1),(171,1),(172,1),(251,1),(256,1),(257,1)}
       214:{1,2,5}:{(171,1),(173,1)}
       215:{1,2,4,7}:{(172,1),(173,1),(257,1),(259,1)}
       216:{1,2,3,6}:{(173,1),(258,1),(259,1),(331,1)}
       217:{2,4,5,7}:{(174,1),(177,1),(245,1),(260,1),(328,1)}
       218:{3,4,6,7}:{(174,1),(175,1),(178,1),(182,1),(260,1),(416,1),(425,1)}
       219:{2,3,4,7}:{(175,1),(176,1),(183,1),(247,1),(262,1),(379,1),(419,1)}
       220:{1,3,4,6}:{(176,1),(180,1),(184,1),(248,1),(262,1),(263,1),(331,1)}
       221:{3,5,6}:{(177,1),(178,1),(260,1)}
       222:{2,3,4,6}:{(178,1),(179,1),(250,1),(265,1),(266,1),(382,1),(414,1)}
       223:{1,3,4,5,7}:{(179,1),(180,1),(251,1),(262,1),(266,1),(267,1),(334,1),(340,1),(417,1),(418,1),(419,1),(420,1)}
       224:{2,4,5}:{(180,1),(263,1),(268,1)}
       225:{3,5,6,7}:{(181,1),(182,1),(260,1),(269,1)}
       226:{2,3,6,7}:{(182,1),(183,1),(186,1),(271,1),(396,1)}
       227:{1,3,5,7}:{(183,1),(184,1),(187,1),(262,1),(271,1),(272,1)}
       228:{2,5,6}:{(184,1),(263,1),(272,1)}
       229:{2,5,6,7}:{(185,1),(186,1),(273,1),(328,1)}
       230:{1,4,6,7}:{(186,1),(187,1),(271,1),(273,1)}
       231:{2,4,6,7}:{(188,1),(189,1),(191,1),(202,1),(274,1),(275,1),(408,1)}
       232:{3,4,7}:{(189,1),(190,1),(195,1)}
       233:{2,3,4,6}:{(190,1),(193,1),(196,1),(204,1),(276,1),(277,1),(305,1),(423,1)}
       234:{2,4,5,6}:{(191,1),(205,1),(274,1),(278,1),(292,1)}
       235:{3,4,6}:{(191,1),(192,1),(278,1)}
       236:{2,3,4,5,7}:{(192,1),(193,1),(207,1),(276,1),(279,1),(280,1),(309,1),(350,1),(408,1),(410,1)}
       237:{1,3,4,5}:{(193,1),(208,1),(277,1),(281,1),(295,1)}
       238:{2,4,5,6,7}:{(194,1),(197,1),(274,1),(282,1),(286,1),(359,1)}
       239:{3,6,7}:{(194,1),(195,1)}
       240:{2,3,5,7}:{(195,1),(196,1),(199,1),(276,1),(283,1),(284,1),(421,1)}
       241:{1,3,5,6}:{(196,1),(200,1),(277,1),(284,1),(285,1)}
       242:{1,3,5,6,7}:{(197,1),(198,1),(201,1),(282,1),(286,1),(288,1)}
       243:{2,4,6,7}:{(198,1),(199,1),(283,1),(286,1),(287,1),(361,1)}
       244:{1,4,5,7}:{(199,1),(200,1),(284,1),(287,1),(290,1),(362,1)}
       245:{1,4,5,7}:{(202,1),(205,1),(217,1),(274,1),(288,1),(362,1)}
       246:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(209,1),(218,1),(275,1),(288,1),(289,1)}
       247:{2,4,7}:{(203,1),(204,1),(210,1),(290,1)}
       248:{1,4,6}:{(204,1),(208,1),(211,1),(290,1)}
       249:{1,3,5,6}:{(205,1),(206,1),(221,1),(278,1),(288,1),(292,1)}
       250:{2,4,6}:{(206,1),(207,1),(212,1),(292,1),(293,1)}
       251:{1,4,5,7}:{(207,1),(208,1),(213,1),(290,1),(293,1),(362,1)}
       252:{1,2,4,5}:{(208,1),(214,1),(224,1),(281,1),(291,1),(295,1),(300,1)}
       253:{2,3,6,7}:{(209,1),(210,1),(212,1),(289,1),(296,1),(313,1),(361,1)}
       254:{1,3,5,7}:{(210,1),(211,1),(290,1),(296,1),(297,1),(362,1),(364,1)}
       255:{1,2,5,6}:{(211,1),(214,1),(228,1),(285,1),(291,1),(297,1),(298,1)}
       256:{1,3,6}:{(212,1),(213,1),(293,1),(298,1)}
       257:{1,2,5,7}:{(213,1),(214,1),(215,1),(298,1)}
       258:{1,2,3,5}:{(214,1),(216,1),(295,1),(300,1)}
       259:{1,2,3,7}:{(215,1),(216,1),(364,1)}
       260:{3,5,7}:{(217,1),(218,1),(221,1)}
       261:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(289,1),(302,1),(303,1),(311,1),(399,1),(422,1)}
       262:{1,3,4,7}:{(219,1),(220,1),(227,1),(290,1),(304,1),(364,1)}
       263:{2,4,6}:{(220,1),(224,1),(228,1),(304,1),(305,1)}
       264:{3,4,5,6}:{(221,1),(301,1),(306,1),(423,1)}
       265:{2,3,5,6}:{(221,1),(222,1),(292,1),(302,1),(306,1),(307,1)}
       266:{1,3,4,6}:{(222,1),(223,1),(293,1),(307,1),(308,1),(366,1),(405,1),(409,1)}
       267:{2,4,5,7}:{(223,1),(224,1),(304,1),(308,1),(309,1),(370,1),(408,1),(410,1)}
       268:{2,3,5}:{(224,1),(295,1),(305,1),(310,1)}
       269:{3,4,6,7}:{(225,1),(301,1),(311,1)}
       270:{2,3,5,6,7}:{(225,1),(226,1),(229,1),(302,1),(311,1),(312,1)}
       271:{1,3,6,7}:{(226,1),(227,1),(230,1),(313,1)}
       272:{2,5,7}:{(227,1),(228,1),(304,1),(313,1)}
       273:{1,5,6,7}:{(229,1),(230,1),(362,1)}
       274:{2,4,5,7}:{(231,1),(234,1),(245,1),(314,1),(328,1)}
       275:{3,4,6,7}:{(231,1),(232,1),(235,1),(239,1),(314,1),(396,1),(419,1)}
       276:{2,3,4,7}:{(232,1),(233,1),(240,1),(247,1),(316,1),(342,1),(425,1)}
       277:{1,3,4,6}:{(233,1),(237,1),(241,1),(248,1),(316,1),(317,1),(331,1)}
       278:{3,5,6}:{(234,1),(235,1),(314,1)}
       279:{2,3,4,6}:{(235,1),(236,1),(250,1),(319,1),(320,1),(345,1),(394,1)}
       280:{1,3,4,5,7}:{(236,1),(237,1),(251,1),(316,1),(320,1),(321,1),(334,1),(377,1),(417,1),(418,1),(425,1),(426,1)}
       281:{2,4,5}:{(237,1),(317,1),(322,1)}
       282:{3,5,6,7}:{(238,1),(239,1),(314,1),(323,1)}
       283:{2,3,6,7}:{(239,1),(240,1),(243,1),(325,1),(416,1)}
       284:{1,3,5,7}:{(240,1),(241,1),(244,1),(316,1),(325,1),(326,1)}
       285:{2,5,6}:{(241,1),(317,1),(326,1)}
       286:{2,5,6,7}:{(242,1),(243,1),(327,1),(328,1)}
       287:{1,4,6,7}:{(243,1),(244,1),(325,1),(327,1)}
       288:{1,3,5,7}:{(245,1),(246,1),(249,1),(260,1),(314,1),(328,1)}
       289:{2,4,6,7}:{(246,1),(247,1),(250,1),(253,1),(328,1),(329,1)}
       290:{1,4,7}:{(247,1),(248,1),(254,1)}
       291:{1,2,4,6}:{(248,1),(252,1),(255,1),(263,1),(317,1),(330,1),(331,1)}
       292:{2,5,6}:{(249,1),(250,1),(328,1),(332,1)}
       293:{1,4,6}:{(250,1),(251,1),(256,1),(332,1)}
       294:{1,2,4,5,7}:{(251,1),(252,1),(257,1),(267,1),(321,1),(330,1),(333,1),(334,1),(338,1),(386,1),(390,1),(417,1),(418,1)}
       295:{1,3,5}:{(252,1),(268,1),(322,1),(331,1),(335,1)}
       296:{1,3,6,7}:{(253,1),(254,1),(256,1),(329,1),(336,1)}
       297:{1,2,5,7}:{(254,1),(255,1),(272,1),(326,1),(330,1),(336,1)}
       298:{1,2,6}:{(256,1),(257,1)}
       299:{1,2,3,5,7}:{(257,1),(258,1),(259,1),(334,1),(337,1),(338,1),(390,1)}
       300:{1,2,4}:{(258,1),(335,1)}
       301:{3,4,5,7}:{(260,1),(264,1),(269,1),(339,1),(425,1)}
       302:{2,3,5,7}:{(260,1),(261,1),(265,1),(328,1),(339,1),(340,1)}
       303:{1,3,4,6,7}:{(261,1),(262,1),(266,1),(271,1),(329,1),(340,1),(341,1),(347,1),(387,1),(396,1),(417,1),(419,1)}
       304:{2,4,7}:{(262,1),(263,1),(272,1),(342,1)}
       305:{2,3,6}:{(263,1),(268,1),(331,1),(342,1)}
       306:{2,4,5,6}:{(264,1),(265,1),(339,1),(343,1),(414,1)}
       307:{1,3,5,6}:{(265,1),(266,1),(332,1),(340,1),(343,1),(344,1),(393,1)}
       308:{2,4,6}:{(266,1),(267,1),(344,1),(345,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(334,1),(342,1),(345,1),(346,1),(395,1)}
       310:{2,3,4}:{(268,1),(335,1)}
       311:{2,4,6,7}:{(269,1),(270,1),(339,1),(347,1)}
       312:{1,3,5,6,7}:{(270,1),(271,1),(273,1),(340,1),(347,1),(348,1),(396,1)}
       313:{2,6,7}:{(271,1),(272,1)}
       314:{3,5,7}:{(274,1),(275,1),(278,1)}
       315:{2,3,4,6,7}:{(275,1),(276,1),(279,1),(283,1),(289,1),(350,1),(351,1),(359,1),(371,1),(408,1)}
       316:{1,3,4,7}:{(276,1),(277,1),(284,1),(290,1),(352,1),(364,1)}
       317:{2,4,6}:{(277,1),(281,1),(285,1),(352,1),(353,1)}
       318:{3,4,5,6}:{(278,1),(349,1),(354,1),(409,1)}
       319:{2,3,5,6}:{(278,1),(279,1),(292,1),(350,1),(354,1),(355,1)}
       320:{1,3,4,6}:{(279,1),(280,1),(293,1),(355,1),(356,1),(366,1),(405,1),(423,1)}
       321:{2,4,5,7}:{(280,1),(281,1),(352,1),(356,1),(357,1),(398,1),(422,1),(424,1)}
       322:{2,3,5}:{(281,1),(295,1),(353,1),(358,1)}
       323:{3,4,6,7}:{(282,1),(349,1),(359,1)}
       324:{2,3,5,6,7}:{(282,1),(283,1),(286,1),(350,1),(359,1),(360,1)}
       325:{1,3,6,7}:{(283,1),(284,1),(287,1),(361,1)}
       326:{2,5,7}:{(284,1),(285,1),(352,1),(361,1)}
       327:{1,5,6,7}:{(286,1),(287,1),(362,1)}
       328:{2,5,7}:{(288,1),(289,1),(292,1),(362,1)}
       329:{1,4,6,7}:{(289,1),(290,1),(293,1),(296,1),(362,1)}
       330:{1,2,4,7}:{(290,1),(291,1),(297,1),(304,1),(352,1),(364,1)}
       331:{1,3,6}:{(291,1),(295,1),(305,1),(353,1),(364,1)}
       332:{1,5,6}:{(292,1),(293,1),(362,1)}
       333:{1,2,4,6}:{(293,1),(294,1),(298,1),(308,1),(356,1),(365,1),(366,1),(405,1)}
       334:{1,3,5,7}:{(294,1),(295,1),(309,1),(357,1),(364,1),(366,1),(367,1),(406,1)}
       335:{1,3,4}:{(295,1),(300,1),(310,1),(358,1)}
       336:{1,2,6,7}:{(296,1),(297,1),(298,1),(313,1),(361,1)}
       337:{1,2,3,6}:{(298,1),(299,1),(366,1),(368,1)}
       338:{1,2,4,7}:{(299,1),(300,1),(367,1),(368,1)}
       339:{2,4,5,7}:{(301,1),(302,1),(306,1),(311,1),(369,1),(422,1)}
       340:{1,3,5,7}:{(302,1),(303,1),(307,1),(362,1),(369,1),(370,1),(407,1)}
       341:{2,4,6,7}:{(303,1),(304,1),(308,1),(313,1),(370,1),(371,1),(408,1)}
       342:{2,3,7}:{(304,1),(305,1),(364,1)}
       343:{1,4,5,6}:{(306,1),(307,1),(369,1),(372,1),(405,1)}
       344:{2,5,6}:{(307,1),(308,1),(370,1)}
       345:{2,3,6}:{(308,1),(309,1),(366,1)}
       346:{2,3,4,7}:{(309,1),(310,1),(367,1),(374,1),(408,1)}
       347:{1,4,6,7}:{(311,1),(312,1),(369,1),(375,1)}
       348:{2,5,6,7}:{(312,1),(313,1),(370,1),(375,1)}
       349:{3,4,5,7}:{(314,1),(318,1),(323,1),(376,1),(419,1)}
       350:{2,3,5,7}:{(314,1),(315,1),(319,1),(328,1),(376,1),(377,1)}
       351:{1,3,4,6,7}:{(315,1),(316,1),(320,1),(325,1),(329,1),(377,1),(378,1),(384,1),(387,1),(416,1),(417,1),(425,1)}
       352:{2,4,7}:{(316,1),(317,1),(326,1),(379,1)}
       353:{2,3,6}:{(317,1),(322,1),(331,1),(379,1)}
       354:{2,4,5,6}:{(318,1),(319,1),(376,1),(380,1),(394,1)}
       355:{1,3,5,6}:{(319,1),(320,1),(332,1),(377,1),(380,1),(381,1),(413,1)}
       356:{2,4,6}:{(320,1),(321,1),(381,1),(382,1)}
       357:{2,3,5,7}:{(321,1),(322,1),(334,1),(379,1),(382,1),(383,1),(415,1)}
       358:{2,3,4}:{(322,1),(335,1)}
       359:{2,4,6,7}:{(323,1),(324,1),(376,1),(384,1)}
       360:{1,3,5,6,7}:{(324,1),(325,1),(327,1),(377,1),(384,1),(385,1),(416,1)}
       361:{2,6,7}:{(325,1),(326,1)}
       362:{1,5,7}:{(328,1),(329,1),(332,1)}
       363:{1,2,4,6,7}:{(329,1),(330,1),(333,1),(336,1),(341,1),(378,1),(386,1),(387,1),(417,1)}
       364:{1,3,7}:{(330,1),(331,1),(342,1),(379,1)}
       365:{1,2,5,6}:{(332,1),(333,1),(344,1),(381,1),(386,1),(388,1),(390,1)}
       366:{1,3,6}:{(333,1),(334,1),(345,1),(382,1)}
       367:{1,3,4,7}:{(334,1),(335,1),(338,1),(346,1),(383,1),(389,1),(417,1)}
       368:{1,2,4,6}:{(337,1),(338,1),(389,1),(390,1)}
       369:{1,4,5,7}:{(339,1),(340,1),(343,1),(347,1),(391,1),(417,1)}
       370:{2,5,7}:{(340,1),(341,1),(344,1)}
       371:{2,3,6,7}:{(341,1),(342,1),(345,1),(387,1),(392,1),(396,1)}
       372:{2,4,5,6}:{(343,1),(344,1),(391,1),(393,1),(394,1)}
       373:{2,3,5,6}:{(344,1),(345,1),(388,1),(392,1),(393,1),(394,1),(395,1)}
       374:{2,3,4,6}:{(345,1),(346,1),(389,1),(394,1),(395,1)}
       375:{2,4,6,7}:{(347,1),(348,1),(391,1),(396,1)}
       376:{2,4,5,7}:{(349,1),(350,1),(354,1),(359,1),(397,1),(408,1)}
       377:{1,3,5,7}:{(350,1),(351,1),(355,1),(362,1),(397,1),(398,1),(421,1)}
       378:{2,4,6,7}:{(351,1),(352,1),(356,1),(361,1),(398,1),(399,1),(422,1)}
       379:{2,3,7}:{(352,1),(353,1),(364,1)}
       380:{1,4,5,6}:{(354,1),(355,1),(397,1),(400,1),(405,1)}
       381:{2,5,6}:{(355,1),(356,1),(398,1)}
       382:{2,3,6}:{(356,1),(357,1),(366,1)}
       383:{2,3,4,7}:{(357,1),(358,1),(367,1),(402,1),(422,1)}
       384:{1,4,6,7}:{(359,1),(360,1),(397,1),(403,1)}
       385:{2,5,6,7}:{(360,1),(361,1),(398,1),(403,1)}
       386:{1,2,5,7}:{(362,1),(363,1),(365,1),(370,1),(398,1),(404,1)}
       387:{1,3,6,7}:{(363,1),(364,1),(366,1),(371,1),(399,1),(404,1)}
       388:{1,3,5,6}:{(365,1),(366,1),(373,1),(401,1),(404,1),(405,1),(406,1)}
       389:{1,3,4,6}:{(366,1),(367,1),(368,1),(374,1),(402,1),(405,1),(406,1)}
       390:{1,2,5}:{(368,1),(406,1)}
       391:{2,4,5,7}:{(369,1),(370,1),(372,1),(375,1),(407,1),(408,1)}
       392:{2,3,5,7}:{(370,1),(371,1),(373,1),(404,1),(407,1),(408,1)}
       393:{3,5,6}:{(372,1),(407,1),(409,1)}
       394:{2,4,6}:{(373,1),(405,1),(408,1),(409,1),(410,1)}
       395:{2,3,5}:{(374,1),(406,1),(410,1)}
       396:{3,6,7}:{(375,1),(407,1)}
       397:{1,4,5,7}:{(376,1),(377,1),(380,1),(384,1),(411,1),(417,1)}
       398:{2,5,7}:{(377,1),(378,1),(381,1)}
       399:{2,3,6,7}:{(378,1),(379,1),(382,1),(387,1),(412,1),(416,1)}
       400:{2,4,5,6}:{(380,1),(381,1),(411,1),(413,1),(414,1)}
       401:{2,3,5,6}:{(381,1),(382,1),(388,1),(412,1),(413,1),(414,1),(415,1)}
       402:{2,3,4,6}:{(382,1),(383,1),(389,1),(414,1),(415,1)}
       403:{2,4,6,7}:{(384,1),(385,1),(411,1),(416,1)}
       404:{1,3,5,7}:{(386,1),(387,1),(388,1),(392,1),(412,1),(417,1)}
       405:{1,4,6}:{(388,1),(394,1),(414,1),(417,1),(418,1)}
       406:{1,3,5}:{(389,1),(390,1),(395,1),(415,1),(418,1)}
       407:{3,5,7}:{(391,1),(393,1),(396,1),(419,1)}
       408:{2,4,7}:{(392,1),(394,1),(417,1),(419,1)}
       409:{3,4,6}:{(393,1),(394,1),(419,1),(420,1)}
       410:{2,4,5}:{(394,1),(395,1),(418,1),(420,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(400,1),(403,1),(421,1),(422,1)}
       412:{2,3,5,7}:{(398,1),(399,1),(401,1),(404,1),(421,1),(422,1)}
       413:{3,5,6}:{(400,1),(421,1),(423,1)}
       414:{2,4,6}:{(401,1),(405,1),(422,1),(423,1),(424,1)}
       415:{2,3,5}:{(402,1),(406,1),(424,1)}
       416:{3,6,7}:{(403,1),(421,1)}
       417:{1,4,7}:{(404,1),(405,1),(408,1),(422,1)}
       418:{1,4,5}:{(405,1),(406,1),(410,1),(424,1)}
       419:{3,4,7}:{(407,1),(408,1),(409,1)}
       420:{3,4,5}:{(409,1),(410,1)}
       421:{3,5,7}:{(411,1),(413,1),(416,1),(425,1)}
       422:{2,4,7}:{(412,1),(414,1),(417,1),(425,1)}
       423:{3,4,6}:{(413,1),(414,1),(425,1),(426,1)}
       424:{2,4,5}:{(414,1),(415,1),(418,1),(426,1)}
       425:{3,4,7}:{(421,1),(422,1),(423,1)}
       426:{3,4,5}:{(423,1),(424,1)}

2100 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2101 :   0:{2,3,4,5}:{(2,1),(3,1),(46,1),(95,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(31,1),(32,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(31,1),(78,1),(84,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(11,1),(70,1),(120,1)}
         4:{2,3,4,5}:{(12,1),(13,1),(19,1),(58,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(54,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{2,3,4}:{(14,1),(19,1)}
         8:{2,4,5}:{(2,1),(19,1),(20,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(54,1),(105,1),(110,1)}
        10:{2,3,5,6}:{(3,1),(21,1),(23,1),(24,1)}
        11:{2,3,4,7}:{(3,1),(22,1),(24,1),(98,1),(142,1)}
        12:{1,3,4,5}:{(4,1),(26,1),(27,1),(31,1),(78,1),(119,1)}
        13:{2,3,4,6}:{(4,1),(27,1),(28,1),(29,1),(37,1),(85,1)}
        14:{1,3,4}:{(6,1),(7,1),(25,1),(31,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(30,1),(32,1),(33,1),(83,1)}
        16:{1,2,3,7}:{(5,1),(33,1),(81,1)}
        17:{1,2,4,5}:{(6,1),(8,1),(26,1),(31,1),(32,1),(34,1),(78,1)}
        18:{2,3,4,6}:{(7,1),(30,1),(35,1),(36,1),(37,1),(85,1),(88,1)}
        19:{2,3,5}:{(7,1),(8,1),(31,1),(37,1)}
        20:{2,4,6}:{(8,1),(9,1),(37,1),(38,1),(39,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(38,1),(40,1),(41,1),(89,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(39,1),(41,1),(81,1),(130,1),(133,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(120,1),(158,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(41,1),(43,1),(44,1)}
        25:{2,3,4}:{(14,1),(46,1)}
        26:{2,4,5}:{(12,1),(46,1),(47,1)}
        27:{1,3,4,6}:{(12,1),(13,1),(47,1),(48,1),(49,1),(54,1),(105,1),(140,1)}
        28:{2,3,5,6}:{(13,1),(48,1),(50,1),(51,1)}
        29:{2,3,4,7}:{(13,1),(49,1),(51,1),(61,1),(112,1)}
        30:{1,3,4,6}:{(14,1),(15,1),(18,1),(45,1),(52,1),(53,1),(54,1),(105,1),(108,1)}
        31:{1,3,5}:{(14,1),(17,1),(19,1),(46,1),(54,1)}
        32:{1,2,5}:{(15,1),(52,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(53,1),(56,1)}
        34:{1,2,4,6}:{(17,1),(20,1),(47,1),(54,1),(55,1),(57,1),(105,1)}
        35:{2,3,5}:{(18,1),(52,1),(58,1)}
        36:{2,3,4,7}:{(18,1),(53,1),(60,1),(61,1),(112,1)}
        37:{2,3,6}:{(19,1),(20,1),(54,1),(61,1)}
        38:{2,5,6}:{(20,1),(21,1),(63,1)}
        39:{2,4,7}:{(20,1),(22,1),(61,1),(63,1)}
        40:{1,4,5,6}:{(21,1),(23,1),(62,1),(64,1),(105,1),(150,1)}
        41:{1,3,5,7}:{(21,1),(22,1),(24,1),(63,1),(64,1),(65,1),(115,1)}
        42:{3,4,5,6}:{(23,1),(66,1),(140,1),(167,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(64,1),(66,1),(67,1),(142,1),(168,1)}
        44:{2,3,6,7}:{(24,1),(65,1),(67,1)}
        45:{2,3,4,6}:{(25,1),(30,1),(68,1),(69,1),(70,1),(120,1),(123,1)}
        46:{2,3,5}:{(25,1),(26,1),(31,1),(70,1)}
        47:{2,4,6}:{(26,1),(27,1),(70,1),(71,1),(72,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(124,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(72,1),(74,1),(81,1),(130,1),(155,1)}
        50:{2,4,5,6}:{(28,1),(73,1),(75,1),(76,1),(85,1),(136,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(74,1),(76,1),(77,1)}
        52:{1,3,5}:{(30,1),(32,1),(35,1),(68,1),(78,1)}
        53:{1,3,4,7}:{(30,1),(33,1),(36,1),(69,1),(80,1),(81,1),(130,1)}
        54:{1,3,6}:{(31,1),(34,1),(37,1),(70,1),(81,1)}
        55:{1,2,5,6}:{(32,1),(34,1),(38,1),(71,1),(79,1),(82,1),(83,1)}
        56:{1,2,5,7}:{(32,1),(33,1),(80,1),(83,1)}
        57:{1,2,4,7}:{(34,1),(39,1),(72,1),(81,1),(82,1),(130,1)}
        58:{2,4,5}:{(35,1),(78,1),(84,1),(85,1)}
        59:{2,3,5,6}:{(35,1),(37,1),(38,1),(79,1),(85,1),(87,1),(88,1),(89,1),(136,1)}
        60:{2,3,5,7}:{(35,1),(36,1),(80,1),(86,1),(88,1)}
        61:{2,3,7}:{(37,1),(39,1),(81,1)}
        62:{2,4,5,6}:{(38,1),(40,1),(85,1),(89,1),(90,1),(136,1),(164,1)}
        63:{2,5,7}:{(38,1),(39,1),(41,1),(91,1)}
        64:{1,4,5,7}:{(40,1),(41,1),(43,1),(90,1),(92,1),(130,1),(162,1)}
        65:{1,3,6,7}:{(41,1),(44,1),(91,1),(92,1),(137,1)}
        66:{3,4,5,7}:{(42,1),(43,1),(93,1),(155,1),(171,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(92,1),(93,1),(94,1)}
        68:{2,3,5}:{(45,1),(52,1),(95,1)}
        69:{2,3,4,7}:{(45,1),(53,1),(97,1),(98,1),(142,1)}
        70:{2,3,6}:{(46,1),(47,1),(54,1),(98,1)}
        71:{2,5,6}:{(47,1),(48,1),(100,1)}
        72:{2,4,7}:{(47,1),(49,1),(98,1),(100,1)}
        73:{1,4,5,6}:{(48,1),(50,1),(99,1),(101,1),(105,1),(150,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(100,1),(101,1),(102,1),(145,1)}
        75:{3,4,5,6}:{(50,1),(103,1),(110,1),(152,1)}
        76:{2,4,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(112,1),(153,1)}
        77:{2,3,6,7}:{(51,1),(102,1),(104,1)}
        78:{1,4,5}:{(52,1),(58,1),(95,1),(105,1)}
        79:{1,3,5,6}:{(52,1),(54,1),(55,1),(59,1),(96,1),(105,1),(107,1),(108,1),(150,1)}
        80:{1,3,5,7}:{(52,1),(53,1),(56,1),(60,1),(97,1),(106,1),(108,1)}
        81:{1,3,7}:{(54,1),(57,1),(61,1),(98,1)}
        82:{1,2,5,7}:{(55,1),(57,1),(63,1),(100,1),(107,1),(109,1)}
        83:{1,2,6}:{(56,1),(108,1)}
        84:{3,4,5}:{(58,1),(110,1)}
        85:{2,4,6}:{(58,1),(59,1),(105,1),(110,1),(112,1)}
        86:{2,4,5,7}:{(58,1),(60,1),(106,1),(111,1),(112,1),(113,1),(153,1)}
        87:{2,3,5,7}:{(59,1),(61,1),(63,1),(107,1),(112,1),(114,1),(115,1),(153,1)}
        88:{2,3,6}:{(60,1),(108,1),(113,1)}
        89:{3,5,6}:{(62,1),(110,1),(115,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(64,1),(112,1),(115,1),(116,1),(153,1),(170,1)}
        91:{2,6,7}:{(63,1),(65,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(117,1)}
        93:{3,4,6,7}:{(66,1),(67,1),(118,1)}
        94:{2,5,6,7}:{(67,1),(117,1),(118,1),(168,1)}
        95:{2,4,5}:{(68,1),(78,1),(119,1),(120,1)}
        96:{2,3,5,6}:{(68,1),(70,1),(71,1),(79,1),(120,1),(122,1),(123,1),(124,1),(158,1)}
        97:{2,3,5,7}:{(68,1),(69,1),(80,1),(121,1),(123,1)}
        98:{2,3,7}:{(70,1),(72,1),(81,1)}
        99:{2,4,5,6}:{(71,1),(73,1),(120,1),(124,1),(125,1),(158,1),(172,1)}
       100:{2,5,7}:{(71,1),(72,1),(74,1),(126,1)}
       101:{1,4,5,7}:{(73,1),(74,1),(76,1),(125,1),(127,1),(130,1),(162,1)}
       102:{1,3,6,7}:{(74,1),(77,1),(126,1),(127,1),(159,1)}
       103:{3,4,5,7}:{(75,1),(76,1),(128,1),(133,1),(163,1)}
       104:{2,4,6,7}:{(76,1),(77,1),(127,1),(128,1),(129,1)}
       105:{1,4,6}:{(78,1),(79,1),(85,1),(120,1),(130,1)}
       106:{1,4,5,7}:{(78,1),(80,1),(86,1),(121,1),(130,1),(131,1),(162,1)}
       107:{1,3,5,7}:{(79,1),(81,1),(82,1),(87,1),(122,1),(130,1),(132,1),(162,1)}
       108:{1,3,6}:{(80,1),(83,1),(88,1),(123,1),(131,1)}
       109:{1,2,6,7}:{(82,1),(83,1),(91,1),(126,1),(132,1)}
       110:{3,4,6}:{(84,1),(85,1),(89,1),(133,1)}
       111:{3,4,5,7}:{(84,1),(86,1),(133,1),(134,1),(163,1)}
       112:{2,4,7}:{(85,1),(87,1),(130,1),(133,1)}
       113:{2,4,6}:{(86,1),(88,1),(131,1),(134,1),(136,1)}
       114:{2,3,6,7}:{(87,1),(88,1),(91,1),(132,1),(135,1),(137,1)}
       115:{3,5,7}:{(89,1),(90,1),(133,1),(137,1)}
       116:{2,4,6,7}:{(90,1),(91,1),(92,1),(137,1),(138,1),(165,1)}
       117:{1,5,6,7}:{(92,1),(94,1),(138,1),(162,1)}
       118:{3,5,6,7}:{(93,1),(94,1),(139,1),(171,1)}
       119:{3,4,5}:{(95,1),(140,1)}
       120:{2,4,6}:{(95,1),(96,1),(105,1),(140,1),(142,1)}
       121:{2,4,5,7}:{(95,1),(97,1),(106,1),(141,1),(142,1),(143,1),(168,1)}
       122:{2,3,5,7}:{(96,1),(98,1),(100,1),(107,1),(142,1),(144,1),(145,1),(168,1)}
       123:{2,3,6}:{(97,1),(108,1),(143,1)}
       124:{3,5,6}:{(99,1),(140,1),(145,1)}
       125:{2,4,5,7}:{(99,1),(100,1),(101,1),(142,1),(145,1),(146,1),(168,1),(174,1)}
       126:{2,6,7}:{(100,1),(102,1)}
       127:{1,4,6,7}:{(101,1),(102,1),(104,1),(146,1),(147,1)}
       128:{3,4,6,7}:{(103,1),(104,1),(148,1)}
       129:{2,5,6,7}:{(104,1),(147,1),(148,1),(153,1)}
       130:{1,4,7}:{(105,1),(107,1),(112,1),(142,1)}
       131:{1,4,6}:{(106,1),(108,1),(113,1),(143,1),(150,1)}
       132:{1,3,6,7}:{(107,1),(108,1),(109,1),(114,1),(144,1),(149,1)}
       133:{3,4,7}:{(110,1),(112,1),(115,1)}
       134:{3,4,6}:{(111,1),(113,1),(152,1)}
       135:{2,4,6,7}:{(112,1),(113,1),(114,1),(149,1),(151,1),(153,1)}
       136:{2,5,6}:{(113,1),(150,1),(152,1),(153,1)}
       137:{3,6,7}:{(115,1),(116,1)}
       138:{2,5,6,7}:{(116,1),(117,1),(153,1),(154,1)}
       139:{4,5,6,7}:{(118,1),(174,1)}
       140:{3,4,6}:{(119,1),(120,1),(124,1),(155,1)}
       141:{3,4,5,7}:{(119,1),(121,1),(155,1),(156,1),(171,1)}
       142:{2,4,7}:{(120,1),(122,1),(130,1),(155,1)}
       143:{2,4,6}:{(121,1),(123,1),(131,1),(156,1),(158,1)}
       144:{2,3,6,7}:{(122,1),(123,1),(126,1),(132,1),(157,1),(159,1)}
       145:{3,5,7}:{(124,1),(125,1),(155,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(127,1),(159,1),(160,1),(173,1)}
       147:{1,5,6,7}:{(127,1),(129,1),(160,1),(162,1)}
       148:{3,5,6,7}:{(128,1),(129,1),(161,1),(163,1)}
       149:{1,4,6,7}:{(130,1),(131,1),(132,1),(135,1),(157,1),(162,1)}
       150:{1,5,6}:{(131,1),(136,1),(158,1),(162,1)}
       151:{3,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(163,1),(165,1)}
       152:{3,5,6}:{(134,1),(136,1),(163,1),(164,1)}
       153:{2,5,7}:{(135,1),(136,1),(162,1),(163,1)}
       154:{3,5,6,7}:{(137,1),(138,1),(163,1),(165,1)}
       155:{3,4,7}:{(140,1),(142,1),(145,1)}
       156:{3,4,6}:{(141,1),(143,1),(167,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(144,1),(149,1),(166,1),(168,1)}
       158:{2,5,6}:{(143,1),(150,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(147,1),(168,1),(169,1)}
       161:{4,5,6,7}:{(148,1),(170,1)}
       162:{1,5,7}:{(149,1),(150,1),(153,1),(168,1)}
       163:{3,5,7}:{(151,1),(152,1),(153,1),(170,1)}
       164:{4,5,6}:{(152,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,4,6,7}:{(155,1),(156,1),(157,1),(159,1),(171,1),(173,1)}
       167:{3,5,6}:{(156,1),(158,1),(171,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(162,1),(171,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(171,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{3,5,7}:{(166,1),(167,1),(168,1),(174,1)}
       172:{4,5,6}:{(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2102 :   0:{2,3,4,5}:{(1,1),(2,1),(44,1),(134,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(66,1),(113,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(8,1),(26,1),(118,1),(123,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(104,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(130,1),(172,1)}
         5:{2,3,5,6}:{(1,1),(13,1),(15,1),(16,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(46,1),(94,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(16,1),(18,1),(93,1),(135,1)}
         8:{2,4,5}:{(2,1),(17,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(35,1),(80,1)}
        10:{1,3,4,5}:{(3,1),(22,1),(24,1),(26,1),(118,1),(146,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(73,1),(118,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(73,1)}
        13:{2,4,5,6}:{(4,1),(5,1),(29,1),(30,1),(113,1),(170,1)}
        14:{3,4,5,7}:{(4,1),(30,1),(31,1),(147,1),(168,1)}
        15:{1,3,5,6}:{(5,1),(6,1),(29,1),(32,1),(33,1),(75,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(8,1),(32,1),(35,1),(36,1)}
        18:{1,3,4,7}:{(6,1),(7,1),(33,1),(36,1),(72,1),(119,1),(124,1)}
        19:{2,3,5}:{(8,1),(26,1),(35,1),(37,1)}
        20:{3,4,5,6}:{(38,1),(39,1),(100,1),(165,1)}
        21:{2,3,5,6}:{(9,1),(38,1),(40,1),(41,1)}
        22:{1,3,4,6}:{(9,1),(10,1),(40,1),(42,1),(43,1),(46,1),(94,1),(130,1)}
        23:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(105,1)}
        24:{2,4,5}:{(10,1),(42,1),(44,1)}
        25:{1,2,4,6}:{(11,1),(17,1),(42,1),(45,1),(46,1),(47,1),(94,1)}
        26:{1,3,5}:{(11,1),(19,1),(44,1),(46,1),(48,1)}
        27:{1,2,3,6}:{(12,1),(46,1),(49,1),(50,1)}
        28:{1,2,4}:{(12,1),(48,1)}
        29:{1,4,5,6}:{(13,1),(15,1),(51,1),(52,1),(94,1),(164,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(16,1),(52,1),(53,1),(135,1),(163,1)}
        31:{3,4,6,7}:{(14,1),(53,1),(54,1)}
        32:{2,5,6}:{(15,1),(17,1),(56,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(18,1),(52,1),(56,1),(57,1),(101,1)}
        34:{2,3,6,7}:{(16,1),(53,1),(57,1)}
        35:{2,3,6}:{(17,1),(19,1),(46,1),(59,1)}
        36:{2,4,7}:{(17,1),(18,1),(56,1),(59,1)}
        37:{2,3,4}:{(19,1),(48,1)}
        38:{2,4,5,6}:{(20,1),(21,1),(60,1),(61,1),(80,1),(158,1)}
        39:{3,4,5,7}:{(20,1),(61,1),(62,1),(124,1),(156,1)}
        40:{1,3,5,6}:{(21,1),(22,1),(60,1),(63,1),(64,1),(108,1)}
        41:{2,3,5,7}:{(21,1),(23,1),(61,1),(64,1),(65,1)}
        42:{2,4,6}:{(22,1),(24,1),(63,1),(66,1),(67,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(64,1),(67,1),(72,1),(119,1),(147,1)}
        44:{2,3,5}:{(24,1),(26,1),(66,1),(68,1)}
        45:{1,2,5,6}:{(25,1),(32,1),(63,1),(69,1),(70,1),(73,1),(122,1)}
        46:{1,3,6}:{(25,1),(26,1),(35,1),(66,1),(72,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(67,1),(70,1),(72,1),(119,1)}
        48:{1,3,4}:{(26,1),(28,1),(37,1),(68,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(122,1)}
        50:{1,2,3,7}:{(27,1),(72,1),(74,1)}
        51:{2,4,5,6}:{(29,1),(32,1),(75,1),(76,1),(80,1),(158,1),(171,1)}
        52:{1,4,5,7}:{(29,1),(30,1),(33,1),(76,1),(77,1),(119,1),(154,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        54:{3,5,6,7}:{(31,1),(78,1),(79,1),(168,1)}
        55:{2,3,5,6}:{(32,1),(35,1),(69,1),(75,1),(80,1),(81,1),(83,1),(129,1),(158,1)}
        56:{2,5,7}:{(32,1),(33,1),(36,1),(82,1)}
        57:{1,3,6,7}:{(33,1),(34,1),(77,1),(82,1),(125,1)}
        58:{2,3,4,6}:{(35,1),(37,1),(71,1),(80,1),(83,1),(84,1),(129,1)}
        59:{2,3,7}:{(35,1),(36,1),(72,1)}
        60:{1,4,5,6}:{(38,1),(40,1),(85,1),(86,1),(94,1),(164,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(87,1),(105,1),(145,1)}
        62:{3,4,6,7}:{(39,1),(87,1),(88,1)}
        63:{2,5,6}:{(40,1),(42,1),(90,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(43,1),(86,1),(90,1),(91,1),(131,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(91,1)}
        66:{2,3,6}:{(42,1),(44,1),(46,1),(93,1)}
        67:{2,4,7}:{(42,1),(43,1),(90,1),(93,1)}
        68:{2,3,4}:{(44,1),(48,1)}
        69:{1,3,5,6}:{(45,1),(46,1),(55,1),(89,1),(94,1),(95,1),(97,1),(140,1),(164,1)}
        70:{1,2,5,7}:{(45,1),(47,1),(56,1),(90,1),(95,1),(96,1)}
        71:{1,3,4,6}:{(46,1),(48,1),(49,1),(58,1),(92,1),(94,1),(97,1),(98,1),(140,1)}
        72:{1,3,7}:{(46,1),(47,1),(59,1),(93,1)}
        73:{1,2,5}:{(49,1),(97,1)}
        74:{1,2,4,7}:{(49,1),(50,1),(98,1),(99,1)}
        75:{3,5,6}:{(51,1),(100,1),(101,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(105,1),(145,1),(166,1)}
        77:{1,4,6,7}:{(52,1),(53,1),(57,1),(102,1),(103,1)}
        78:{2,5,6,7}:{(53,1),(54,1),(103,1),(163,1)}
        79:{4,5,6,7}:{(54,1),(173,1)}
        80:{2,4,6}:{(55,1),(94,1),(100,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(55,1),(56,1),(59,1),(95,1),(101,1),(105,1),(106,1),(145,1)}
        82:{2,6,7}:{(56,1),(57,1)}
        83:{2,3,5}:{(58,1),(97,1),(104,1)}
        84:{2,3,4,7}:{(58,1),(59,1),(98,1),(105,1),(107,1)}
        85:{2,4,5,6}:{(60,1),(63,1),(108,1),(109,1),(113,1),(170,1),(174,1)}
        86:{1,4,5,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(119,1),(154,1)}
        87:{2,4,6,7}:{(61,1),(62,1),(65,1),(110,1),(111,1)}
        88:{3,5,6,7}:{(62,1),(111,1),(112,1),(156,1)}
        89:{2,3,5,6}:{(63,1),(66,1),(69,1),(108,1),(113,1),(114,1),(116,1),(152,1),(170,1)}
        90:{2,5,7}:{(63,1),(64,1),(67,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(65,1),(110,1),(115,1),(148,1)}
        92:{2,3,4,6}:{(66,1),(68,1),(71,1),(113,1),(116,1),(117,1),(152,1)}
        93:{2,3,7}:{(66,1),(67,1),(72,1)}
        94:{1,4,6}:{(69,1),(80,1),(113,1),(118,1),(119,1)}
        95:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(114,1),(119,1),(120,1),(154,1)}
        96:{1,2,6,7}:{(70,1),(82,1),(115,1),(120,1),(122,1)}
        97:{1,3,5}:{(71,1),(73,1),(83,1),(116,1),(118,1)}
        98:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(117,1),(119,1),(121,1)}
        99:{1,2,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{3,4,6}:{(75,1),(80,1),(123,1),(124,1)}
       101:{3,5,7}:{(75,1),(76,1),(124,1),(125,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(82,1),(125,1),(126,1),(157,1)}
       103:{1,5,6,7}:{(77,1),(78,1),(126,1),(154,1)}
       104:{2,4,5}:{(80,1),(83,1),(118,1),(123,1)}
       105:{2,4,7}:{(80,1),(81,1),(119,1),(124,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(120,1),(125,1),(128,1),(129,1)}
       107:{2,3,5,7}:{(83,1),(84,1),(121,1),(127,1),(129,1)}
       108:{3,5,6}:{(85,1),(130,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(90,1),(131,1),(132,1),(135,1),(163,1),(173,1)}
       110:{1,4,6,7}:{(86,1),(87,1),(91,1),(132,1),(133,1)}
       111:{2,5,6,7}:{(87,1),(88,1),(133,1),(145,1)}
       112:{4,5,6,7}:{(88,1),(166,1)}
       113:{2,4,6}:{(89,1),(94,1),(130,1),(134,1),(135,1)}
       114:{2,3,5,7}:{(89,1),(90,1),(93,1),(95,1),(131,1),(135,1),(136,1),(163,1)}
       115:{2,6,7}:{(90,1),(91,1)}
       116:{2,3,5}:{(92,1),(97,1),(134,1)}
       117:{2,3,4,7}:{(92,1),(93,1),(98,1),(135,1),(137,1)}
       118:{1,4,5}:{(94,1),(97,1),(104,1),(134,1)}
       119:{1,4,7}:{(94,1),(95,1),(105,1),(135,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(106,1),(136,1),(139,1),(140,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1),(140,1)}
       122:{1,2,6}:{(99,1),(140,1)}
       123:{3,4,5}:{(100,1),(104,1)}
       124:{3,4,7}:{(100,1),(101,1),(105,1)}
       125:{3,6,7}:{(101,1),(102,1)}
       126:{2,5,6,7}:{(102,1),(103,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(104,1),(105,1),(107,1),(138,1),(141,1),(144,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(139,1),(142,1),(144,1),(145,1)}
       129:{2,3,6}:{(107,1),(140,1),(144,1)}
       130:{3,4,6}:{(108,1),(113,1),(146,1),(147,1)}
       131:{3,5,7}:{(108,1),(109,1),(147,1),(148,1)}
       132:{2,4,6,7}:{(109,1),(110,1),(115,1),(148,1),(149,1),(169,1)}
       133:{1,5,6,7}:{(110,1),(111,1),(149,1),(154,1)}
       134:{2,4,5}:{(113,1),(116,1),(118,1),(146,1)}
       135:{2,4,7}:{(113,1),(114,1),(119,1),(147,1)}
       136:{2,3,6,7}:{(114,1),(115,1),(120,1),(148,1),(151,1),(152,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(150,1),(152,1)}
       138:{1,4,5,7}:{(118,1),(119,1),(121,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,6,7}:{(119,1),(120,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(153,1)}
       141:{3,4,5,7}:{(123,1),(124,1),(127,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(128,1),(155,1),(156,1),(157,1)}
       143:{3,5,6,7}:{(125,1),(126,1),(156,1),(157,1)}
       144:{2,4,6}:{(127,1),(129,1),(153,1),(155,1),(158,1)}
       145:{2,5,7}:{(128,1),(154,1),(156,1),(158,1)}
       146:{3,4,5}:{(130,1),(134,1)}
       147:{3,4,7}:{(130,1),(131,1),(135,1)}
       148:{3,6,7}:{(131,1),(132,1)}
       149:{2,5,6,7}:{(132,1),(133,1),(161,1),(163,1)}
       150:{2,4,5,7}:{(134,1),(135,1),(137,1),(138,1),(159,1),(162,1),(163,1)}
       151:{2,4,6,7}:{(135,1),(136,1),(139,1),(160,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(162,1)}
       153:{1,4,6}:{(138,1),(140,1),(144,1),(162,1),(164,1)}
       154:{1,5,7}:{(139,1),(145,1),(163,1),(164,1)}
       155:{3,4,6}:{(141,1),(144,1),(165,1)}
       156:{3,5,7}:{(142,1),(145,1),(165,1),(166,1)}
       157:{4,6,7}:{(143,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(165,1)}
       159:{3,4,5,7}:{(146,1),(147,1),(150,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(151,1),(167,1),(168,1),(169,1)}
       161:{3,5,6,7}:{(148,1),(149,1),(168,1),(169,1)}
       162:{2,4,6}:{(150,1),(152,1),(153,1),(167,1),(170,1)}
       163:{2,5,7}:{(151,1),(154,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{3,5,6}:{(155,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(171,1)}
       167:{3,4,6}:{(159,1),(162,1),(172,1)}
       168:{3,5,7}:{(160,1),(163,1),(172,1),(173,1)}
       169:{4,6,7}:{(161,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{3,5,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2103 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2104 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(32,1),(40,1),(44,1),(47,1),(98,1),(105,1),(190,1),(195,1),(284,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(58,1),(61,1),(324,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(71,1),(152,1),(239,1),(323,1)}
         3:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(44,1),(95,1),(190,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(33,1),(195,1),(285,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(101,1),(358,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(44,1),(98,1),(112,1),(202,1),(283,1),(370,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(34,1),(51,1),(104,1),(217,1),(219,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(61,1),(72,1),(78,1),(131,1),(163,1),(227,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,7}:{(3,1),(5,1),(20,1),(22,1),(239,1)}
        11:{1,2,4,5,6}:{(4,1),(21,1),(24,1),(25,1),(29,1),(61,1),(84,1),(137,1),(142,1),(149,1),(151,1),(224,1),(243,1),(262,1),(317,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(62,1),(76,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(23,1),(25,1),(26,1),(144,1),(148,1),(335,1),(398,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(61,1),(84,1),(149,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(63,1),(85,1),(150,1),(263,1),(265,1),(341,1)}
        16:{1,3,4,5}:{(9,1),(33,1),(34,1),(285,1),(302,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(190,1)}
        18:{1,3,4,6}:{(8,1),(36,1),(38,1),(39,1),(95,1),(99,1),(110,1),(190,1)}
        19:{2,3,5}:{(8,1),(9,1),(33,1),(38,1)}
        20:{2,3,4,7}:{(8,1),(10,1),(39,1),(41,1),(101,1),(211,1),(272,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(34,1),(40,1),(43,1),(44,1),(190,1),(304,1),(354,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,4,6,7}:{(10,1),(13,1),(42,1),(44,1),(45,1),(116,1),(192,1),(283,1),(296,1),(358,1),(368,1),(371,1)}
        24:{1,2,4,5,7}:{(11,1),(43,1),(46,1),(53,1),(101,1),(125,1),(187,1),(193,1),(199,1),(201,1),(269,1),(286,1),(303,1),(353,1),(358,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(47,1),(102,1),(116,1)}
        26:{1,2,5,7}:{(13,1),(45,1),(47,1),(195,1),(199,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(49,1),(179,1),(302,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(99,1),(198,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(101,1),(125,1),(199,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(307,1)}
        32:{1,2,3,5}:{(17,1),(58,1),(65,1),(140,1)}
        33:{2,4,5}:{(16,1),(19,1),(60,1),(61,1)}
        34:{1,3,4,6}:{(16,1),(21,1),(61,1),(63,1),(324,1),(339,1),(382,1)}
        35:{1,3,4,5,7}:{(16,1),(22,1),(62,1),(63,1),(64,1),(76,1),(150,1),(161,1)}
        36:{1,2,4,6}:{(17,1),(18,1),(58,1),(65,1),(66,1),(153,1)}
        37:{1,2,3,7}:{(17,1),(66,1),(239,1)}
        38:{1,3,5}:{(18,1),(19,1),(60,1),(65,1)}
        39:{1,3,4,7}:{(18,1),(20,1),(66,1),(69,1),(146,1),(239,1)}
        40:{2,3,5,6}:{(19,1),(21,1),(61,1),(68,1),(71,1),(72,1),(84,1),(149,1),(163,1),(224,1),(227,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(69,1),(72,1)}
        42:{2,3,4,6,7}:{(20,1),(23,1),(70,1),(72,1),(73,1),(148,1),(160,1),(165,1),(229,1),(253,1),(257,1),(258,1),(313,1),(333,1),(336,1),(338,1),(381,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(63,1),(71,1),(74,1),(239,1),(341,1),(384,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(73,1),(75,1),(76,1),(241,1),(396,1)}
        46:{1,2,4,6,7}:{(24,1),(25,1),(74,1),(77,1),(87,1),(148,1),(162,1),(172,1),(236,1),(266,1),(310,1),(379,1)}
        47:{1,2,5,6}:{(25,1),(26,1),(75,1),(149,1),(398,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(80,1),(140,1)}
        49:{2,3,4,6}:{(27,1),(28,1),(61,1),(80,1),(82,1),(227,1),(339,1)}
        50:{2,3,4,5,7}:{(27,1),(62,1),(81,1),(82,1),(83,1),(161,1),(170,1),(228,1),(256,1),(315,1),(340,1),(381,1),(399,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(80,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(82,1),(85,1),(86,1),(341,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(146,1),(246,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(150,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(91,1),(117,1),(352,1)}
        57:{1,3,4,5,6}:{(34,1),(93,1),(94,1),(104,1),(177,1),(278,1),(280,1),(354,1)}
        58:{1,2,4}:{(32,1),(95,1)}
        59:{1,2,3,5,7}:{(32,1),(37,1),(97,1),(98,1),(106,1),(191,1),(195,1),(369,1),(370,1),(419,1)}
        60:{1,4,5}:{(33,1),(38,1),(99,1)}
        61:{2,4,6}:{(33,1),(34,1),(40,1),(99,1),(101,1)}
        62:{2,4,5,7}:{(33,1),(35,1),(41,1),(100,1),(101,1),(102,1),(199,1)}
        63:{1,3,4,7}:{(34,1),(43,1),(101,1),(358,1),(372,1),(407,1)}
        64:{1,3,4,6}:{(35,1),(44,1),(102,1),(104,1),(116,1),(210,1)}
        65:{1,2,5}:{(36,1),(38,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(39,1),(106,1)}
        67:{1,2,3,6,7}:{(37,1),(98,1),(107,1),(108,1),(283,1),(294,1),(367,1),(420,1)}
        68:{1,3,5,6}:{(38,1),(40,1),(99,1),(105,1),(109,1),(110,1),(190,1),(198,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(100,1),(106,1),(110,1)}
        70:{1,3,4,6,7}:{(39,1),(42,1),(107,1),(110,1),(111,1),(192,1),(197,1),(205,1),(207,1),(283,1),(294,1),(358,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(101,1),(109,1),(112,1),(125,1),(199,1),(211,1),(269,1),(272,1)}
        72:{2,3,6}:{(41,1),(44,1),(102,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(111,1),(113,1),(114,1),(199,1),(213,1),(274,1),(292,1),(365,1)}
        74:{1,3,6,7}:{(43,1),(44,1),(46,1),(112,1),(307,1),(405,1)}
        75:{1,3,5,6}:{(44,1),(45,1),(47,1),(113,1),(116,1),(366,1),(368,1)}
        76:{1,4,5,7}:{(45,1),(114,1),(116,1),(285,1),(358,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(115,1),(128,1),(199,1),(220,1),(281,1),(286,1),(347,1),(420,1)}
        78:{2,3,4}:{(95,1),(117,1)}
        79:{2,4,5}:{(48,1),(117,1),(119,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(51,1),(99,1),(119,1),(121,1),(190,1)}
        81:{1,3,4,5,7}:{(48,1),(50,1),(100,1),(120,1),(121,1),(122,1),(191,1),(216,1),(285,1),(299,1),(302,1),(358,1),(372,1),(374,1),(421,1)}
        82:{2,3,4,7}:{(49,1),(52,1),(101,1),(121,1),(272,1),(372,1)}
        83:{2,3,4,6}:{(50,1),(102,1),(122,1),(124,1),(210,1),(273,1),(298,1),(351,1)}
        84:{2,5,6}:{(51,1),(119,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(121,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(307,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(199,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(309,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(133,1),(140,1)}
        91:{2,3,4,6}:{(56,1),(61,1),(130,1),(133,1),(135,1),(163,1),(382,1)}
        92:{2,3,4,5,7}:{(56,1),(62,1),(134,1),(135,1),(136,1),(161,1),(164,1),(234,1),(256,1),(260,1),(338,1),(383,1),(427,1)}
        93:{2,4,5,6}:{(57,1),(61,1),(130,1),(137,1),(138,1),(149,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(63,1),(138,1),(139,1),(150,1),(225,1),(318,1),(320,1),(384,1)}
        95:{1,3,4}:{(58,1),(78,1),(131,1),(140,1)}
        96:{1,2,4,5}:{(58,1),(60,1),(65,1),(79,1),(132,1),(140,1),(142,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(141,1),(144,1),(436,1)}
        98:{1,2,3,6}:{(59,1),(144,1),(153,1),(240,1),(398,1)}
        99:{1,4,6}:{(60,1),(61,1),(68,1),(146,1)}
       100:{1,4,5,7}:{(60,1),(62,1),(69,1),(146,1),(147,1),(246,1)}
       101:{2,4,7}:{(61,1),(63,1),(71,1),(146,1)}
       102:{2,4,6}:{(62,1),(64,1),(72,1),(147,1),(149,1)}
       103:{1,3,4,6,7}:{(63,1),(64,1),(74,1),(148,1),(150,1),(162,1),(257,1)}
       104:{1,3,5,6}:{(64,1),(149,1),(150,1),(151,1),(249,1)}
       105:{1,2,5,6}:{(65,1),(68,1),(84,1),(142,1),(152,1),(153,1),(224,1)}
       106:{1,2,5,7}:{(65,1),(66,1),(69,1),(153,1)}
       107:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(144,1),(153,1),(154,1),(155,1),(251,1),(336,1)}
       108:{1,2,3,5,7}:{(67,1),(145,1),(154,1),(155,1),(252,1),(323,1),(392,1),(435,1),(453,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(146,1),(152,1),(156,1),(239,1),(246,1)}
       110:{1,3,6}:{(69,1),(72,1),(147,1),(153,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(154,1),(157,1),(158,1),(241,1),(246,1)}
       112:{2,3,6,7}:{(71,1),(72,1),(74,1),(148,1),(156,1),(172,1),(310,1)}
       113:{2,3,5,6}:{(72,1),(73,1),(75,1),(149,1),(157,1),(160,1),(249,1),(331,1),(333,1)}
       114:{2,4,5,7}:{(73,1),(76,1),(158,1),(160,1),(161,1),(260,1),(315,1),(338,1),(381,1)}
       115:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(150,1),(159,1),(162,1),(323,1),(396,1),(397,1)}
       116:{1,4,6}:{(75,1),(76,1),(160,1)}
       117:{2,3,5}:{(78,1),(79,1),(140,1),(163,1)}
       118:{2,3,4,7}:{(78,1),(141,1),(164,1),(165,1),(338,1),(439,1)}
       119:{2,4,6}:{(79,1),(80,1),(84,1),(163,1),(166,1)}
       120:{2,4,5,7}:{(79,1),(81,1),(164,1),(166,1),(167,1),(260,1),(261,1),(338,1),(401,1),(437,1)}
       121:{1,3,4,7}:{(80,1),(82,1),(85,1),(146,1),(166,1),(239,1)}
       122:{1,3,4,6}:{(81,1),(83,1),(147,1),(167,1),(169,1),(240,1),(324,1),(337,1),(339,1)}
       123:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(148,1),(168,1),(170,1),(174,1),(257,1),(313,1),(336,1),(345,1),(381,1),(399,1)}
       124:{2,3,5,6}:{(83,1),(149,1),(169,1),(170,1),(171,1),(249,1),(331,1)}
       125:{2,5,7}:{(84,1),(85,1),(166,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(170,1),(173,1),(174,1),(176,1),(268,1),(345,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(246,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(248,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(91,1),(93,1),(177,1),(178,1),(354,1)}
       131:{2,3,4}:{(95,1),(179,1)}
       132:{2,4,5}:{(90,1),(179,1),(181,1)}
       133:{1,3,4,6}:{(90,1),(91,1),(99,1),(177,1),(181,1),(183,1),(190,1)}
       134:{1,3,4,5,7}:{(90,1),(92,1),(100,1),(182,1),(183,1),(184,1),(191,1),(277,1),(285,1),(299,1),(352,1),(358,1),(407,1),(409,1),(441,1)}
       135:{2,3,4,7}:{(91,1),(101,1),(178,1),(183,1),(211,1),(407,1)}
       136:{2,3,4,6}:{(92,1),(102,1),(184,1),(186,1),(210,1),(212,1),(298,1),(301,1)}
       137:{1,4,5,6}:{(93,1),(99,1),(177,1),(187,1),(198,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(101,1),(178,1),(187,1),(188,1),(199,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(348,1),(349,1),(405,1)}
       140:{1,3,5}:{(95,1),(96,1),(117,1),(179,1),(190,1)}
       141:{1,3,4,7}:{(95,1),(97,1),(118,1),(180,1),(191,1),(192,1),(358,1),(447,1)}
       142:{1,2,4,6}:{(96,1),(99,1),(105,1),(119,1),(181,1),(190,1),(193,1)}
       143:{1,2,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(120,1),(182,1),(191,1),(193,1),(194,1),(195,1),(285,1),(286,1),(299,1),(358,1),(369,1),(416,1),(445,1)}
       144:{1,2,4,6}:{(97,1),(98,1),(192,1),(195,1)}
       145:{1,2,3,5,6}:{(98,1),(108,1),(195,1),(196,1),(203,1),(284,1),(288,1),(294,1),(362,1),(418,1),(419,1),(446,1)}
       146:{1,4,7}:{(99,1),(101,1),(109,1)}
       147:{1,4,6}:{(100,1),(102,1),(110,1),(198,1)}
       148:{2,4,6,7}:{(101,1),(102,1),(103,1),(112,1),(197,1),(199,1)}
       149:{2,5,6}:{(102,1),(104,1),(198,1),(199,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(199,1),(201,1),(292,1)}
       151:{1,4,5,6}:{(104,1),(116,1),(200,1),(201,1),(366,1)}
       152:{1,2,5,7}:{(105,1),(109,1),(125,1),(193,1),(202,1),(269,1)}
       153:{1,2,6}:{(106,1),(110,1)}
       154:{1,2,5,7}:{(107,1),(111,1),(195,1),(203,1),(365,1)}
       155:{1,2,4,7}:{(108,1),(196,1),(205,1),(358,1),(414,1)}
       156:{1,3,6,7}:{(109,1),(110,1),(112,1),(197,1),(202,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(113,1),(198,1),(203,1),(207,1),(294,1)}
       158:{1,4,5,7}:{(111,1),(114,1),(207,1),(285,1),(358,1)}
       159:{2,3,5,6,7}:{(112,1),(113,1),(115,1),(199,1),(206,1),(209,1),(220,1),(292,1),(300,1),(307,1),(347,1),(350,1),(365,1),(367,1),(405,1)}
       160:{2,4,6}:{(113,1),(114,1),(116,1),(207,1),(210,1)}
       161:{3,4,5,7}:{(114,1),(210,1),(292,1),(302,1),(352,1),(372,1),(407,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(209,1),(358,1)}
       163:{2,3,6}:{(117,1),(119,1),(190,1),(211,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(120,1),(191,1),(211,1),(212,1),(213,1),(423,1),(448,1)}
       165:{2,3,4,6}:{(118,1),(192,1),(212,1),(213,1),(301,1)}
       166:{2,4,7}:{(119,1),(121,1),(125,1),(211,1)}
       167:{2,4,6}:{(120,1),(122,1),(212,1),(215,1)}
       168:{1,3,4,6,7}:{(121,1),(122,1),(123,1),(126,1),(197,1),(214,1),(216,1),(221,1),(283,1),(307,1),(358,1),(371,1),(372,1),(378,1),(421,1)}
       169:{1,3,5,6}:{(122,1),(124,1),(198,1),(215,1),(216,1),(217,1),(304,1),(366,1)}
       170:{2,3,5,7}:{(123,1),(124,1),(199,1),(216,1),(218,1),(292,1),(365,1)}
       171:{2,4,5,6}:{(124,1),(217,1),(218,1),(219,1),(351,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(216,1),(220,1),(221,1),(307,1),(309,1),(378,1)}
       174:{2,4,6,7}:{(127,1),(218,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(290,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(307,1)}
       177:{1,3,5,6}:{(130,1),(133,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(135,1),(138,1),(225,1),(226,1),(384,1)}
       179:{2,3,5}:{(131,1),(132,1),(140,1),(227,1)}
       180:{2,3,4,7}:{(131,1),(141,1),(228,1),(229,1),(381,1),(452,1)}
       181:{2,4,6}:{(132,1),(133,1),(224,1),(227,1),(230,1)}
       182:{2,4,5,7}:{(132,1),(134,1),(228,1),(230,1),(231,1),(315,1),(316,1),(381,1),(429,1),(450,1)}
       183:{1,3,4,7}:{(133,1),(135,1),(146,1),(225,1),(230,1),(239,1)}
       184:{1,3,4,6}:{(134,1),(136,1),(147,1),(231,1),(233,1),(240,1),(324,1),(337,1),(382,1)}
       185:{2,3,4,6,7}:{(135,1),(136,1),(148,1),(226,1),(232,1),(234,1),(257,1),(258,1),(312,1),(336,1),(338,1),(425,1),(427,1)}
       186:{2,3,5,6}:{(136,1),(149,1),(233,1),(234,1),(235,1),(249,1),(331,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(146,1),(225,1),(236,1),(246,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(310,1)}
       189:{1,3,5,6,7}:{(139,1),(150,1),(237,1),(238,1),(322,1)}
       190:{1,3,6}:{(140,1),(142,1),(163,1),(227,1),(239,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(228,1),(239,1),(240,1),(241,1),(434,1),(453,1)}
       192:{1,3,4,6}:{(141,1),(144,1),(165,1),(229,1),(240,1),(241,1),(324,1)}
       193:{1,2,4,7}:{(142,1),(146,1),(152,1),(166,1),(230,1),(239,1)}
       194:{1,2,4,6}:{(143,1),(147,1),(153,1),(167,1),(231,1),(240,1),(243,1),(324,1),(337,1),(398,1)}
       195:{1,2,5}:{(144,1),(241,1)}
       196:{1,2,4,6}:{(145,1),(155,1),(244,1),(245,1),(324,1),(390,1),(436,1)}
       197:{1,4,6,7}:{(146,1),(147,1),(148,1),(156,1),(246,1)}
       198:{1,5,6}:{(147,1),(149,1),(246,1)}
       199:{2,5,7}:{(148,1),(149,1),(150,1),(246,1)}
       200:{2,4,5,6}:{(149,1),(151,1),(160,1),(247,1),(248,1),(249,1),(331,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(248,1),(396,1)}
       202:{1,2,6,7}:{(152,1),(153,1),(156,1),(172,1),(310,1)}
       203:{1,2,5,6}:{(153,1),(154,1),(157,1),(251,1),(331,1)}
       204:{1,2,4,5,7}:{(154,1),(155,1),(158,1),(244,1),(251,1),(252,1),(256,1)}
       205:{1,3,4,7}:{(155,1),(245,1),(252,1),(253,1),(453,1)}
       206:{1,3,5,6,7}:{(156,1),(157,1),(159,1),(246,1),(250,1),(254,1),(323,1),(330,1),(332,1)}
       207:{1,4,6}:{(157,1),(158,1),(160,1)}
       208:{1,3,4,5,7}:{(158,1),(161,1),(252,1),(255,1),(256,1),(325,1),(330,1),(389,1)}
       209:{2,4,6,7}:{(159,1),(160,1),(162,1),(248,1),(254,1),(257,1),(338,1),(381,1)}
       210:{3,4,6}:{(160,1),(161,1),(249,1)}
       211:{2,3,7}:{(163,1),(166,1),(239,1)}
       212:{2,3,6}:{(164,1),(167,1),(240,1)}
       213:{2,3,5}:{(165,1),(241,1),(260,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(168,1),(172,1),(258,1),(261,1),(338,1),(404,1),(437,1)}
       215:{2,5,6}:{(167,1),(169,1),(261,1)}
       216:{1,3,5,7}:{(168,1),(169,1),(170,1),(246,1),(261,1),(263,1),(341,1),(396,1)}
       217:{1,4,5,6}:{(169,1),(171,1),(262,1),(263,1),(324,1)}
       218:{2,4,5,7}:{(170,1),(171,1),(174,1),(263,1),(265,1),(381,1)}
       219:{3,4,5,6}:{(171,1),(249,1),(265,1),(382,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(261,1),(266,1),(404,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(263,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(330,1)}
       224:{2,5,6}:{(177,1),(181,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(183,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(405,1)}
       227:{2,3,6}:{(179,1),(181,1),(190,1),(272,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,4,6}:{(180,1),(192,1),(273,1),(274,1),(351,1)}
       230:{2,4,7}:{(181,1),(183,1),(269,1),(272,1)}
       231:{2,4,6}:{(182,1),(184,1),(273,1),(276,1)}
       232:{1,3,4,6,7}:{(183,1),(184,1),(185,1),(197,1),(270,1),(275,1),(277,1),(283,1),(348,1),(358,1),(371,1),(405,1),(407,1),(440,1),(441,1)}
       233:{1,3,5,6}:{(184,1),(186,1),(198,1),(276,1),(277,1),(278,1),(354,1),(366,1)}
       234:{2,3,5,7}:{(185,1),(186,1),(199,1),(277,1),(279,1),(292,1),(365,1)}
       235:{2,4,5,6}:{(186,1),(278,1),(279,1),(280,1),(301,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(199,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(348,1),(413,1)}
       239:{1,3,7}:{(190,1),(193,1),(211,1),(272,1)}
       240:{1,3,6}:{(191,1),(194,1),(212,1),(273,1)}
       241:{1,3,5}:{(192,1),(195,1),(213,1),(274,1),(285,1)}
       242:{1,2,4,6,7}:{(193,1),(194,1),(197,1),(202,1),(214,1),(275,1),(283,1),(286,1),(358,1),(371,1),(420,1),(445,1)}
       243:{1,2,5,6}:{(194,1),(195,1),(198,1),(215,1),(276,1),(284,1),(286,1),(366,1)}
       244:{1,2,4,5}:{(195,1),(196,1),(285,1),(288,1),(360,1)}
       245:{1,3,4,6}:{(196,1),(205,1),(288,1),(289,1),(294,1),(446,1),(447,1)}
       246:{1,5,7}:{(197,1),(198,1),(199,1)}
       247:{1,4,5,6}:{(198,1),(200,1),(207,1),(290,1),(291,1)}
       248:{2,4,5,7}:{(199,1),(200,1),(201,1),(209,1),(290,1),(292,1),(365,1)}
       249:{3,5,6}:{(200,1),(210,1),(292,1)}
       250:{1,2,5,6,7}:{(202,1),(203,1),(206,1),(220,1),(286,1),(293,1),(309,1),(347,1),(365,1),(413,1)}
       251:{1,2,4,6}:{(203,1),(204,1),(207,1),(294,1),(298,1)}
       252:{1,3,5,7}:{(204,1),(205,1),(288,1),(294,1),(295,1)}
       253:{2,3,4,7}:{(205,1),(289,1),(295,1),(296,1),(414,1),(448,1),(454,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(209,1),(290,1),(358,1)}
       255:{1,3,4,6}:{(207,1),(208,1),(210,1),(291,1),(294,1),(298,1)}
       256:{2,4,5,7}:{(208,1),(295,1),(298,1),(299,1),(360,1),(365,1),(414,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(307,1),(372,1),(405,1),(407,1)}
       258:{2,3,6,7}:{(211,1),(212,1),(214,1),(283,1),(300,1),(307,1),(448,1)}
       259:{2,3,5,6}:{(212,1),(213,1),(215,1),(284,1),(300,1),(301,1),(304,1)}
       260:{2,4,5}:{(213,1),(285,1),(301,1),(302,1)}
       261:{2,5,7}:{(214,1),(215,1),(216,1)}
       262:{2,4,5,6}:{(215,1),(217,1),(301,1),(303,1),(304,1)}
       263:{1,4,5,7}:{(216,1),(217,1),(218,1),(221,1),(303,1),(358,1)}
       264:{1,3,4,5,6}:{(217,1),(219,1),(291,1),(304,1),(305,1),(306,1),(359,1),(376,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(407,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(303,1),(307,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(305,1),(307,1),(308,1),(378,1)}
       268:{2,5,6,7}:{(223,1),(308,1),(309,1),(365,1)}
       269:{2,5,7}:{(224,1),(225,1),(230,1),(310,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(310,1)}
       271:{2,3,5,6,7}:{(226,1),(234,1),(237,1),(311,1),(312,1),(322,1),(388,1),(425,1)}
       272:{2,3,7}:{(227,1),(230,1),(239,1)}
       273:{2,3,6}:{(228,1),(231,1),(240,1)}
       274:{2,3,5}:{(229,1),(241,1),(315,1)}
       275:{2,4,6,7}:{(230,1),(231,1),(232,1),(310,1),(313,1),(316,1),(381,1),(449,1),(450,1)}
       276:{2,5,6}:{(231,1),(233,1),(316,1)}
       277:{1,3,5,7}:{(232,1),(233,1),(234,1),(246,1),(316,1),(318,1),(384,1),(396,1)}
       278:{1,4,5,6}:{(233,1),(235,1),(317,1),(318,1),(324,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(312,1),(318,1),(320,1),(338,1)}
       280:{3,4,5,6}:{(235,1),(249,1),(320,1),(339,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(246,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(248,1),(312,1),(321,1),(322,1),(379,1),(388,1)}
       283:{1,3,6,7}:{(239,1),(240,1),(242,1),(258,1),(313,1),(323,1),(453,1)}
       284:{1,3,5,6}:{(240,1),(241,1),(243,1),(259,1),(314,1),(323,1),(324,1)}
       285:{1,4,5}:{(241,1),(260,1),(315,1),(324,1)}
       286:{1,2,5,7}:{(242,1),(243,1),(246,1),(261,1),(316,1),(323,1),(396,1)}
       287:{1,2,4,5,6}:{(243,1),(244,1),(247,1),(251,1),(262,1),(317,1),(324,1),(326,1),(327,1),(331,1),(344,1),(387,1),(390,1),(403,1),(431,1),(433,1)}
       288:{1,3,5}:{(244,1),(245,1),(328,1)}
       289:{2,3,4,6}:{(245,1),(253,1),(328,1),(329,1),(333,1),(390,1),(438,1),(439,1),(451,1),(452,1)}
       290:{1,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(255,1),(330,1),(331,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,4,6,7}:{(250,1),(251,1),(254,1),(266,1),(326,1),(332,1),(336,1),(346,1),(379,1),(404,1),(426,1),(449,1)}
       294:{1,3,6}:{(251,1),(252,1),(333,1)}
       295:{2,3,5,7}:{(252,1),(253,1),(256,1),(328,1),(333,1),(334,1)}
       296:{1,3,4,7}:{(253,1),(329,1),(334,1),(335,1),(432,1),(453,1)}
       297:{1,3,4,6,7}:{(254,1),(255,1),(257,1),(330,1),(332,1),(336,1),(389,1)}
       298:{2,4,6}:{(255,1),(256,1),(331,1),(333,1),(337,1)}
       299:{1,4,5,7}:{(256,1),(334,1),(337,1),(391,1),(396,1),(432,1)}
       300:{2,3,5,7}:{(258,1),(259,1),(261,1),(323,1),(338,1),(341,1)}
       301:{2,4,6}:{(259,1),(260,1),(324,1),(338,1),(339,1)}
       302:{3,4,5}:{(260,1),(339,1)}
       303:{2,4,5,7}:{(261,1),(262,1),(263,1),(266,1),(338,1),(341,1)}
       304:{3,5,6}:{(262,1),(339,1),(341,1)}
       305:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(330,1),(341,1),(343,1),(389,1),(402,1)}
       306:{2,4,5,6}:{(264,1),(331,1),(342,1),(343,1),(344,1),(390,1),(403,1)}
       307:{3,6,7}:{(266,1),(341,1)}
       308:{2,4,6,7}:{(267,1),(268,1),(343,1),(345,1),(346,1),(404,1)}
       309:{1,5,6,7}:{(268,1),(346,1),(396,1)}
       310:{2,6,7}:{(269,1),(270,1)}
       311:{1,3,5,6,7}:{(270,1),(271,1),(277,1),(281,1),(347,1),(348,1),(405,1),(413,1),(440,1)}
       312:{2,4,6,7}:{(271,1),(279,1),(348,1),(349,1)}
       313:{2,3,6,7}:{(272,1),(273,1),(275,1),(283,1),(350,1),(405,1),(454,1)}
       314:{2,3,5,6}:{(273,1),(274,1),(276,1),(284,1),(350,1),(351,1),(354,1)}
       315:{2,4,5}:{(274,1),(285,1),(351,1),(352,1)}
       316:{2,5,7}:{(275,1),(276,1),(277,1)}
       317:{2,4,5,6}:{(276,1),(278,1),(351,1),(353,1),(354,1)}
       318:{1,4,5,7}:{(277,1),(278,1),(279,1),(348,1),(353,1),(358,1)}
       319:{1,3,4,5,6}:{(278,1),(280,1),(291,1),(354,1),(355,1),(356,1),(359,1),(411,1)}
       320:{3,4,5,7}:{(279,1),(280,1),(292,1),(349,1),(372,1)}
       321:{1,4,5,6,7}:{(281,1),(282,1),(290,1),(348,1),(357,1)}
       322:{3,5,6,7}:{(282,1),(292,1),(349,1),(405,1)}
       323:{1,3,5,7}:{(283,1),(284,1),(286,1),(300,1),(350,1),(358,1)}
       324:{1,4,6}:{(284,1),(285,1),(301,1),(351,1),(358,1)}
       325:{1,3,4,5}:{(285,1),(288,1),(302,1),(352,1),(359,1),(360,1)}
       326:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(293,1),(303,1),(353,1),(358,1),(361,1),(365,1),(377,1),(412,1),(414,1),(424,1),(444,1),(445,1)}
       327:{1,3,5,6}:{(287,1),(288,1),(294,1),(304,1),(354,1),(359,1),(361,1),(362,1),(446,1)}
       328:{2,3,5}:{(288,1),(289,1),(360,1),(363,1)}
       329:{1,3,4,6}:{(289,1),(296,1),(363,1),(364,1),(368,1),(415,1),(446,1),(447,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(297,1),(365,1)}
       331:{2,5,6}:{(291,1),(298,1),(365,1),(366,1)}
       332:{1,3,6,7}:{(293,1),(294,1),(307,1),(361,1),(367,1),(405,1)}
       333:{2,3,6}:{(294,1),(295,1),(298,1),(368,1)}
       334:{1,3,5,7}:{(295,1),(296,1),(299,1),(363,1),(368,1),(369,1)}
       335:{1,2,4,7}:{(296,1),(364,1),(369,1),(370,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(365,1),(367,1),(371,1),(414,1)}
       337:{1,4,6}:{(298,1),(299,1),(366,1),(368,1)}
       338:{2,4,7}:{(300,1),(301,1),(358,1),(372,1)}
       339:{3,4,6}:{(301,1),(302,1),(304,1),(372,1)}
       340:{2,3,4,5}:{(302,1),(360,1),(373,1),(374,1),(443,1)}
       341:{3,5,7}:{(303,1),(304,1),(307,1),(372,1)}
       342:{2,3,5,6}:{(304,1),(306,1),(373,1),(375,1),(376,1)}
       343:{2,4,5,7}:{(305,1),(306,1),(308,1),(365,1),(375,1),(377,1),(414,1),(424,1)}
       344:{1,4,5,6}:{(306,1),(366,1),(376,1),(377,1),(415,1)}
       345:{2,3,6,7}:{(307,1),(308,1),(375,1),(378,1)}
       346:{1,4,6,7}:{(308,1),(309,1),(377,1),(378,1)}
       347:{2,5,6,7}:{(310,1),(311,1),(316,1),(379,1),(449,1)}
       348:{1,4,6,7}:{(311,1),(312,1),(318,1),(379,1)}
       349:{3,4,6,7}:{(312,1),(320,1),(322,1)}
       350:{2,3,5,7}:{(313,1),(314,1),(316,1),(323,1),(381,1),(384,1)}
       351:{2,4,6}:{(314,1),(315,1),(324,1),(381,1),(382,1)}
       352:{3,4,5}:{(315,1),(382,1)}
       353:{2,4,5,7}:{(316,1),(317,1),(318,1),(379,1),(381,1),(384,1)}
       354:{3,5,6}:{(317,1),(382,1),(384,1)}
       355:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(330,1),(380,1),(384,1),(386,1),(389,1),(430,1)}
       356:{2,4,5,6}:{(319,1),(331,1),(385,1),(386,1),(387,1),(390,1),(431,1)}
       357:{1,3,5,6,7}:{(321,1),(322,1),(330,1),(380,1),(388,1)}
       358:{1,4,7}:{(323,1),(324,1),(338,1),(381,1)}
       359:{1,3,4,6}:{(324,1),(325,1),(327,1),(339,1),(382,1),(389,1),(390,1)}
       360:{2,4,5}:{(325,1),(328,1),(390,1),(391,1)}
       361:{1,3,5,7}:{(326,1),(327,1),(332,1),(341,1),(384,1),(389,1),(392,1),(453,1)}
       362:{2,3,5,6}:{(327,1),(328,1),(331,1),(333,1),(390,1),(392,1),(393,1),(403,1),(431,1),(438,1),(451,1)}
       363:{1,3,5}:{(328,1),(329,1),(391,1),(394,1)}
       364:{1,2,4,6}:{(329,1),(335,1),(394,1),(395,1),(398,1),(436,1)}
       365:{2,5,7}:{(330,1),(331,1),(336,1),(396,1)}
       366:{1,5,6}:{(331,1),(337,1),(396,1)}
       367:{2,3,6,7}:{(332,1),(333,1),(336,1),(392,1),(397,1),(404,1),(449,1)}
       368:{1,3,6}:{(333,1),(334,1),(337,1),(398,1)}
       369:{1,2,5,7}:{(334,1),(335,1),(394,1),(398,1)}
       370:{1,2,3,7}:{(335,1),(395,1),(453,1)}
       371:{1,4,6,7}:{(336,1),(337,1),(396,1),(397,1),(432,1)}
       372:{3,4,7}:{(338,1),(339,1),(341,1)}
       373:{2,3,4,6}:{(339,1),(340,1),(342,1),(390,1),(399,1),(400,1),(451,1)}
       374:{1,3,4,5}:{(340,1),(391,1),(400,1),(401,1),(434,1)}
       375:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(399,1),(402,1)}
       376:{1,3,5,6}:{(342,1),(344,1),(400,1),(402,1),(403,1)}
       377:{1,4,5,7}:{(343,1),(344,1),(346,1),(396,1),(402,1),(432,1)}
       378:{1,3,6,7}:{(345,1),(346,1),(402,1),(404,1)}
       379:{2,4,6,7}:{(347,1),(348,1),(353,1),(405,1)}
       380:{1,3,4,6,7}:{(348,1),(349,1),(355,1),(357,1),(405,1),(406,1),(440,1)}
       381:{2,4,7}:{(350,1),(351,1),(358,1),(407,1)}
       382:{3,4,6}:{(351,1),(352,1),(354,1),(407,1)}
       383:{2,3,4,5}:{(352,1),(360,1),(408,1),(409,1),(423,1)}
       384:{3,5,7}:{(353,1),(354,1),(405,1),(407,1)}
       385:{2,3,5,6}:{(354,1),(356,1),(408,1),(410,1),(411,1)}
       386:{2,4,5,7}:{(355,1),(356,1),(365,1),(406,1),(410,1),(412,1),(414,1),(444,1)}
       387:{1,4,5,6}:{(356,1),(366,1),(411,1),(412,1),(415,1)}
       388:{2,5,6,7}:{(357,1),(365,1),(406,1),(413,1)}
       389:{1,3,4,7}:{(358,1),(359,1),(361,1),(372,1),(407,1),(414,1)}
       390:{2,4,6}:{(359,1),(360,1),(362,1),(414,1),(415,1)}
       391:{1,4,5}:{(360,1),(363,1),(415,1)}
       392:{2,3,5,7}:{(361,1),(362,1),(365,1),(367,1),(414,1),(417,1),(424,1),(444,1),(448,1),(454,1)}
       393:{1,3,5,6}:{(362,1),(363,1),(366,1),(368,1),(415,1),(417,1),(418,1),(446,1)}
       394:{1,2,5}:{(363,1),(364,1)}
       395:{1,2,3,6}:{(364,1),(370,1),(419,1),(446,1)}
       396:{1,5,7}:{(365,1),(366,1),(371,1)}
       397:{1,3,6,7}:{(367,1),(368,1),(371,1),(417,1),(420,1)}
       398:{1,2,6}:{(368,1),(369,1)}
       399:{2,3,4,7}:{(372,1),(373,1),(375,1),(414,1),(421,1),(454,1)}
       400:{1,3,4,6}:{(373,1),(374,1),(376,1),(415,1),(421,1),(422,1),(446,1)}
       401:{2,4,5}:{(374,1),(422,1),(423,1)}
       402:{1,3,5,7}:{(375,1),(376,1),(377,1),(378,1),(421,1),(424,1)}
       403:{2,5,6}:{(376,1),(422,1),(424,1)}
       404:{2,6,7}:{(378,1),(424,1)}
       405:{3,6,7}:{(379,1),(384,1)}
       406:{2,4,6,7}:{(380,1),(386,1),(388,1),(425,1),(426,1),(449,1)}
       407:{3,4,7}:{(381,1),(382,1),(384,1)}
       408:{2,3,4,6}:{(382,1),(383,1),(385,1),(390,1),(427,1),(428,1),(438,1)}
       409:{1,3,4,5}:{(383,1),(391,1),(428,1),(429,1),(434,1)}
       410:{2,3,5,7}:{(384,1),(385,1),(386,1),(425,1),(427,1),(430,1)}
       411:{1,3,5,6}:{(385,1),(387,1),(428,1),(430,1),(431,1)}
       412:{1,4,5,7}:{(386,1),(387,1),(396,1),(426,1),(430,1),(432,1)}
       413:{1,5,6,7}:{(388,1),(396,1),(426,1)}
       414:{2,4,7}:{(389,1),(390,1),(392,1),(432,1)}
       415:{1,4,6}:{(390,1),(391,1),(393,1),(432,1)}
       416:{1,2,4,5}:{(391,1),(394,1),(401,1),(429,1),(433,1),(434,1),(436,1)}
       417:{1,3,5,7}:{(392,1),(393,1),(396,1),(397,1),(432,1),(435,1),(453,1)}
       418:{1,2,5,6}:{(393,1),(394,1),(398,1),(403,1),(431,1),(433,1),(435,1)}
       419:{1,2,3,5}:{(394,1),(395,1),(434,1),(436,1)}
       420:{1,2,6,7}:{(397,1),(398,1),(404,1),(435,1),(449,1)}
       421:{1,3,4,7}:{(399,1),(400,1),(402,1),(432,1),(437,1),(453,1)}
       422:{2,4,6}:{(400,1),(401,1),(403,1),(437,1),(438,1)}
       423:{2,3,5}:{(401,1),(434,1),(438,1),(439,1)}
       424:{2,5,7}:{(402,1),(403,1),(404,1),(437,1)}
       425:{2,3,6,7}:{(405,1),(406,1),(410,1),(440,1)}
       426:{1,4,6,7}:{(406,1),(412,1),(413,1),(440,1)}
       427:{2,3,4,7}:{(407,1),(408,1),(410,1),(414,1),(441,1),(448,1)}
       428:{1,3,4,6}:{(408,1),(409,1),(411,1),(415,1),(441,1),(442,1),(446,1)}
       429:{2,4,5}:{(409,1),(442,1),(443,1)}
       430:{1,3,5,7}:{(410,1),(411,1),(412,1),(440,1),(441,1),(444,1)}
       431:{2,5,6}:{(411,1),(442,1),(444,1)}
       432:{1,4,7}:{(414,1),(415,1),(417,1)}
       433:{1,2,4,6}:{(415,1),(416,1),(418,1),(422,1),(442,1),(445,1),(446,1)}
       434:{1,3,5}:{(416,1),(423,1),(443,1),(446,1),(447,1)}
       435:{1,2,5,7}:{(417,1),(418,1),(420,1),(424,1),(444,1),(445,1)}
       436:{1,2,4}:{(419,1),(447,1)}
       437:{2,4,7}:{(421,1),(422,1),(424,1),(448,1)}
       438:{2,3,6}:{(422,1),(423,1),(446,1),(448,1)}
       439:{2,3,4}:{(423,1),(447,1)}
       440:{1,3,6,7}:{(425,1),(426,1),(430,1),(449,1)}
       441:{1,3,4,7}:{(427,1),(428,1),(430,1),(432,1),(450,1),(453,1)}
       442:{2,4,6}:{(428,1),(429,1),(431,1),(450,1),(451,1)}
       443:{2,3,5}:{(429,1),(434,1),(451,1),(452,1)}
       444:{2,5,7}:{(430,1),(431,1),(449,1),(450,1)}
       445:{1,2,4,7}:{(432,1),(433,1),(435,1),(437,1),(450,1),(453,1)}
       446:{1,3,6}:{(433,1),(434,1),(438,1),(451,1),(453,1)}
       447:{1,3,4}:{(434,1),(436,1),(439,1),(452,1)}
       448:{2,3,7}:{(437,1),(438,1),(453,1)}
       449:{2,6,7}:{(440,1),(444,1)}
       450:{2,4,7}:{(441,1),(442,1),(444,1),(454,1)}
       451:{2,3,6}:{(442,1),(443,1),(446,1),(454,1)}
       452:{2,3,4}:{(443,1),(447,1)}
       453:{1,3,7}:{(445,1),(446,1),(448,1),(454,1)}
       454:{2,3,7}:{(450,1),(451,1),(453,1)}

2105 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2106 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2107 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2108 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2109 :   0:{1,3,4,5,7}:{(6,1),(7,1),(9,1),(31,1),(40,1),(42,1),(96,1),(107,1),(117,1),(118,1),(186,1),(187,1),(191,1),(247,1)}
         1:{1,3,4,6,7}:{(7,1),(8,1),(9,1),(11,1),(47,1),(52,1),(117,1),(118,1),(191,1)}
         2:{1,3,5,6,7}:{(9,1),(10,1),(11,1),(35,1),(52,1)}
         3:{1,2,4,5,7}:{(13,1),(14,1),(16,1),(20,1),(55,1),(59,1),(68,1),(70,1),(73,1),(127,1),(134,1),(136,1),(137,1),(155,1),(209,1),(217,1),(219,1),(252,1),(256,1),(262,1)}
         4:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(17,1),(24,1),(68,1),(78,1),(122,1),(155,1),(194,1),(252,1)}
         5:{1,3,4,6,7}:{(15,1),(17,1),(18,1),(60,1),(65,1),(68,1),(142,1),(145,1)}
         6:{2,4,5,7}:{(0,1),(19,1),(20,1),(21,1),(25,1),(59,1),(73,1),(80,1),(136,1),(150,1),(155,1),(219,1)}
         7:{1,3,4,6}:{(0,1),(21,1),(22,1),(65,1),(74,1),(142,1),(152,1),(153,1),(221,1)}
         8:{2,4,6,7}:{(1,1),(21,1),(23,1),(24,1),(25,1),(78,1),(80,1),(155,1)}
         9:{1,3,5,7}:{(1,1),(22,1),(25,1),(26,1),(82,1)}
        10:{2,5,6,7}:{(2,1),(25,1),(27,1),(28,1),(64,1)}
        11:{1,4,6,7}:{(2,1),(26,1),(28,1),(65,1),(158,1)}
        12:{1,3,4,5,7}:{(29,1),(30,1),(31,1),(40,1),(85,1),(87,1),(96,1),(107,1),(227,1),(228,1),(232,1),(233,1),(273,1),(277,1)}
        13:{1,3,5,7}:{(3,1),(31,1),(32,1),(33,1),(96,1),(107,1),(173,1),(191,1),(238,1),(247,1),(273,1),(277,1)}
        14:{1,2,4,6}:{(3,1),(33,1),(34,1),(44,1),(89,1),(95,1),(100,1),(102,1),(111,1),(166,1),(188,1),(234,1),(243,1)}
        15:{1,3,6,7}:{(4,1),(33,1),(36,1),(37,1),(191,1),(243,1),(273,1)}
        16:{1,2,5,7}:{(4,1),(34,1),(37,1),(39,1),(49,1),(116,1),(161,1),(226,1),(285,1)}
        17:{2,4,6,7}:{(5,1),(36,1),(38,1),(39,1),(95,1),(102,1),(105,1)}
        18:{1,3,5,7}:{(5,1),(35,1),(39,1),(40,1),(96,1),(107,1)}
        19:{2,3,5,7}:{(6,1),(41,1),(42,1),(43,1),(107,1),(110,1),(183,1),(191,1),(247,1)}
        20:{1,4,5,7}:{(6,1),(42,1),(44,1),(49,1),(94,1),(117,1),(175,1),(186,1)}
        21:{2,4,6}:{(6,1),(7,1),(43,1),(44,1),(45,1),(111,1)}
        22:{1,3,5,6}:{(7,1),(9,1),(45,1),(46,1),(96,1),(115,1)}
        23:{2,3,6,7}:{(8,1),(43,1),(47,1),(48,1),(52,1),(120,1),(191,1)}
        24:{1,4,6,7}:{(8,1),(44,1),(47,1),(49,1),(117,1)}
        25:{2,5,7}:{(8,1),(9,1),(45,1),(49,1)}
        26:{1,4,5,7}:{(9,1),(11,1),(46,1),(50,1),(117,1),(193,1)}
        27:{1,5,6,7}:{(10,1),(49,1),(51,1),(101,1)}
        28:{2,4,6,7}:{(10,1),(11,1),(50,1),(51,1),(52,1),(102,1),(120,1)}
        29:{2,4,5,7}:{(12,1),(54,1),(55,1),(56,1),(59,1),(123,1),(127,1),(136,1),(196,1),(202,1),(252,1),(256,1)}
        30:{1,3,4,6}:{(12,1),(56,1),(57,1),(65,1),(128,1),(142,1),(204,1),(205,1),(258,1)}
        31:{1,3,4,7}:{(13,1),(59,1),(60,1),(68,1),(145,1),(262,1),(268,1),(291,1)}
        32:{2,3,5,7}:{(13,1),(59,1),(61,1),(62,1),(73,1),(127,1),(136,1),(147,1),(199,1),(218,1),(255,1)}
        33:{1,3,6}:{(13,1),(14,1),(62,1),(142,1),(221,1),(258,1)}
        34:{1,2,5,6}:{(14,1),(16,1),(63,1),(64,1),(76,1),(130,1),(136,1),(151,1),(203,1),(209,1),(297,1)}
        35:{1,3,5,6}:{(18,1),(64,1),(65,1),(142,1)}
        36:{2,3,6,7}:{(15,1),(17,1),(62,1),(66,1),(67,1),(78,1),(142,1),(194,1),(214,1)}
        37:{1,3,5,7}:{(15,1),(16,1),(63,1),(67,1),(68,1),(217,1),(267,1)}
        38:{1,4,6,7}:{(17,1),(66,1),(69,1),(135,1),(141,1),(144,1)}
        39:{2,5,7}:{(17,1),(18,1),(64,1),(69,1),(136,1)}
        40:{1,4,5,7}:{(18,1),(65,1),(68,1),(70,1),(137,1),(217,1)}
        41:{2,3,4,7}:{(19,1),(59,1),(71,1),(72,1),(80,1),(145,1),(199,1),(216,1),(224,1),(268,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(71,1),(73,1),(74,1),(149,1),(217,1)}
        43:{2,3,6}:{(19,1),(21,1),(74,1),(142,1),(214,1),(221,1)}
        44:{1,4,6}:{(20,1),(21,1),(74,1),(76,1)}
        45:{2,5,6}:{(21,1),(22,1),(25,1),(76,1),(136,1)}
        46:{1,4,5,6}:{(22,1),(26,1),(65,1),(77,1),(137,1),(152,1),(223,1)}
        47:{1,3,6,7}:{(23,1),(24,1),(74,1),(78,1),(79,1),(158,1)}
        48:{2,3,5,7}:{(23,1),(25,1),(75,1),(79,1),(80,1),(82,1),(157,1),(224,1)}
        49:{1,5,7}:{(24,1),(25,1),(76,1)}
        50:{2,4,5,7}:{(25,1),(26,1),(28,1),(77,1),(80,1),(81,1),(82,1),(155,1),(157,1)}
        51:{1,4,6,7}:{(27,1),(28,1),(81,1),(83,1),(141,1)}
        52:{3,6,7}:{(28,1),(82,1),(142,1)}
        53:{1,3,4,6,7}:{(30,1),(84,1),(85,1),(93,1),(159,1),(172,1),(227,1),(228,1),(273,1)}
        54:{2,3,5,7}:{(29,1),(86,1),(87,1),(88,1),(107,1),(165,1),(183,1),(273,1),(277,1)}
        55:{1,4,5,7}:{(29,1),(87,1),(89,1),(94,1),(161,1),(175,1),(227,1),(232,1)}
        56:{2,4,6}:{(29,1),(30,1),(88,1),(89,1),(90,1),(166,1)}
        57:{1,3,5,6}:{(30,1),(85,1),(90,1),(91,1),(96,1),(170,1)}
        58:{1,3,5,6,7}:{(35,1),(85,1),(92,1),(93,1),(172,1)}
        59:{2,4,7}:{(31,1),(32,1),(94,1),(95,1),(246,1),(276,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(95,1),(96,1),(100,1),(179,1)}
        61:{1,3,5,7}:{(32,1),(94,1),(97,1),(98,1),(173,1),(175,1),(238,1)}
        62:{2,3,6}:{(32,1),(33,1),(95,1),(98,1),(111,1),(166,1)}
        63:{1,3,5,6}:{(33,1),(34,1),(37,1),(96,1),(99,1),(100,1),(238,1),(243,1),(283,1),(284,1)}
        64:{2,5,6}:{(35,1),(39,1),(101,1),(102,1)}
        65:{1,4,6}:{(35,1),(40,1),(102,1),(243,1)}
        66:{1,3,6,7}:{(36,1),(38,1),(98,1),(103,1),(104,1),(180,1)}
        67:{2,3,5,7}:{(36,1),(37,1),(39,1),(99,1),(104,1),(105,1),(107,1),(116,1),(183,1),(191,1),(226,1),(244,1),(273,1)}
        68:{1,4,7}:{(37,1),(100,1),(105,1)}
        69:{1,5,7}:{(38,1),(39,1),(101,1),(175,1)}
        70:{2,4,5,7}:{(39,1),(40,1),(102,1),(105,1),(106,1),(107,1),(176,1),(183,1)}
        71:{1,3,4,7}:{(41,1),(42,1),(94,1),(108,1),(109,1),(117,1),(173,1),(191,1),(245,1),(251,1)}
        72:{2,3,4,6}:{(41,1),(43,1),(95,1),(109,1),(110,1),(113,1),(179,1),(230,1),(242,1),(249,1),(276,1),(286,1)}
        73:{2,5,7}:{(42,1),(108,1),(111,1),(185,1)}
        74:{1,3,6}:{(42,1),(43,1),(44,1),(111,1),(243,1)}
        75:{2,3,5,6}:{(43,1),(45,1),(48,1),(110,1),(112,1),(113,1),(115,1),(190,1),(249,1)}
        76:{1,5,6}:{(44,1),(45,1),(49,1),(175,1)}
        77:{2,4,5,6}:{(45,1),(46,1),(50,1),(102,1),(113,1),(114,1),(115,1),(176,1),(188,1),(190,1)}
        78:{2,6,7}:{(47,1),(111,1),(116,1)}
        79:{1,3,5,7}:{(47,1),(48,1),(49,1),(112,1),(116,1),(117,1),(191,1),(193,1),(251,1)}
        80:{2,4,7}:{(48,1),(113,1),(117,1),(118,1)}
        81:{1,4,5,7}:{(49,1),(50,1),(51,1),(114,1),(117,1),(119,1)}
        82:{3,5,7}:{(50,1),(52,1),(115,1),(118,1),(191,1)}
        83:{1,3,6,7}:{(51,1),(52,1),(119,1),(120,1),(180,1)}
        84:{2,4,6,7}:{(53,1),(56,1),(121,1),(122,1),(123,1),(194,1),(196,1),(252,1)}
        85:{1,3,5,7}:{(53,1),(57,1),(123,1),(124,1),(198,1)}
        86:{2,3,4,7}:{(54,1),(59,1),(125,1),(126,1),(145,1),(147,1),(196,1),(216,1),(289,1),(291,1)}
        87:{1,3,5,7}:{(54,1),(55,1),(125,1),(127,1),(128,1),(201,1),(217,1)}
        88:{2,3,6}:{(54,1),(56,1),(128,1),(142,1),(214,1),(258,1)}
        89:{1,4,6}:{(55,1),(56,1),(128,1),(130,1)}
        90:{2,5,6}:{(56,1),(57,1),(123,1),(130,1),(136,1)}
        91:{1,4,5,6}:{(57,1),(65,1),(124,1),(131,1),(137,1),(204,1),(260,1)}
        92:{2,5,6,7}:{(58,1),(64,1),(123,1),(132,1),(133,1)}
        93:{1,4,6,7}:{(58,1),(65,1),(124,1),(133,1),(261,1)}
        94:{1,4,7}:{(59,1),(61,1),(135,1),(262,1)}
        95:{2,4,6}:{(59,1),(60,1),(62,1),(135,1),(136,1)}
        96:{1,3,5}:{(60,1),(136,1),(137,1),(211,1)}
        97:{1,2,5,7}:{(61,1),(73,1),(127,1),(134,1),(138,1),(209,1),(217,1)}
        98:{1,3,6}:{(61,1),(62,1),(135,1),(138,1)}
        99:{2,3,5,6}:{(62,1),(63,1),(64,1),(67,1),(136,1),(139,1),(140,1),(142,1),(151,1),(203,1),(211,1),(214,1),(218,1),(221,1),(255,1),(258,1),(264,1),(265,1)}
       100:{1,4,6}:{(63,1),(68,1),(137,1),(140,1),(262,1)}
       101:{1,5,6}:{(64,1),(69,1),(141,1)}
       102:{2,4,6}:{(64,1),(65,1),(70,1),(141,1),(142,1),(214,1)}
       103:{1,2,6,7}:{(66,1),(78,1),(138,1),(143,1),(158,1),(194,1),(214,1),(261,1)}
       104:{1,3,5,7}:{(66,1),(67,1),(69,1),(139,1),(143,1),(144,1),(215,1)}
       105:{2,4,7}:{(67,1),(68,1),(140,1),(144,1),(145,1)}
       106:{1,4,5,7}:{(69,1),(70,1),(141,1),(144,1),(146,1),(210,1)}
       107:{3,5,7}:{(70,1),(142,1),(145,1),(211,1)}
       108:{2,4,7}:{(71,1),(73,1),(147,1),(148,1),(272,1)}
       109:{1,3,4,6}:{(71,1),(72,1),(74,1),(135,1),(148,1),(149,1),(152,1),(208,1),(221,1),(262,1),(266,1),(268,1),(271,1),(298,1)}
       110:{2,3,5}:{(72,1),(136,1),(149,1),(150,1),(211,1),(264,1)}
       111:{2,6}:{(73,1),(74,1)}
       112:{1,3,5,6}:{(74,1),(75,1),(76,1),(79,1),(149,1),(151,1),(152,1),(221,1),(223,1),(271,1)}
       113:{2,4,6}:{(75,1),(80,1),(150,1),(152,1),(153,1)}
       114:{1,4,5,6}:{(76,1),(77,1),(81,1),(141,1),(152,1),(154,1),(210,1)}
       115:{3,5,6}:{(77,1),(82,1),(142,1),(153,1),(211,1),(221,1)}
       116:{2,5,7}:{(78,1),(79,1),(151,1),(155,1),(272,1)}
       117:{1,4,7}:{(79,1),(80,1),(152,1),(155,1)}
       118:{3,4,7}:{(80,1),(82,1),(153,1)}
       119:{1,3,5,7}:{(81,1),(82,1),(83,1),(154,1),(156,1),(157,1)}
       120:{2,6,7}:{(83,1),(157,1),(158,1),(214,1)}
       121:{2,3,6,7}:{(84,1),(88,1),(159,1),(160,1),(172,1),(237,1),(273,1)}
       122:{1,4,6,7}:{(84,1),(89,1),(159,1),(161,1),(227,1)}
       123:{2,5,7}:{(84,1),(85,1),(90,1),(161,1)}
       124:{1,4,5,7}:{(85,1),(91,1),(93,1),(162,1),(227,1),(275,1)}
       125:{1,3,4,7}:{(86,1),(87,1),(94,1),(163,1),(164,1),(173,1),(227,1),(245,1),(273,1),(300,1)}
       126:{2,3,4,6}:{(86,1),(88,1),(95,1),(164,1),(165,1),(168,1),(179,1),(184,1),(242,1),(246,1),(279,1),(301,1)}
       127:{2,5,7}:{(87,1),(163,1),(166,1),(231,1)}
       128:{1,3,6}:{(87,1),(88,1),(89,1),(166,1),(243,1)}
       129:{2,3,5,6}:{(88,1),(90,1),(160,1),(165,1),(167,1),(168,1),(170,1),(236,1),(279,1)}
       130:{1,5,6}:{(89,1),(90,1),(161,1),(175,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(102,1),(162,1),(168,1),(169,1),(170,1),(176,1),(234,1),(236,1)}
       132:{1,5,6,7}:{(92,1),(101,1),(161,1),(171,1)}
       133:{2,4,6,7}:{(92,1),(93,1),(102,1),(162,1),(171,1),(172,1),(237,1)}
       134:{1,2,4,7}:{(94,1),(97,1),(108,1),(163,1),(173,1),(174,1),(245,1),(285,1)}
       135:{1,4,6}:{(94,1),(95,1),(98,1),(175,1)}
       136:{2,5}:{(95,1),(96,1),(175,1)}
       137:{1,4,5}:{(96,1),(100,1),(176,1),(283,1)}
       138:{1,2,6}:{(97,1),(98,1),(111,1),(166,1),(243,1)}
       139:{1,3,5,6}:{(98,1),(99,1),(101,1),(104,1),(175,1),(177,1),(178,1),(180,1),(238,1),(240,1),(241,1)}
       140:{2,4,6}:{(99,1),(100,1),(105,1),(176,1),(178,1),(179,1),(246,1),(276,1)}
       141:{1,4,6}:{(101,1),(102,1),(106,1),(180,1)}
       142:{3,6}:{(102,1),(107,1)}
       143:{1,2,5,7}:{(103,1),(104,1),(116,1),(177,1),(181,1),(183,1),(193,1),(226,1),(275,1)}
       144:{1,4,7}:{(104,1),(105,1),(178,1)}
       145:{3,4,7}:{(105,1),(107,1),(179,1),(191,1),(273,1)}
       146:{1,3,5,7}:{(106,1),(107,1),(180,1),(182,1),(183,1),(240,1)}
       147:{2,3,7}:{(108,1),(173,1),(184,1),(191,1)}
       148:{2,4,6}:{(108,1),(109,1),(111,1),(184,1),(185,1),(246,1),(288,1),(306,1)}
       149:{1,3,5}:{(109,1),(110,1),(175,1),(185,1),(186,1),(247,1),(283,1)}
       150:{2,4,5}:{(110,1),(113,1),(186,1),(187,1),(276,1)}
       151:{2,5,6}:{(111,1),(112,1),(116,1),(185,1),(188,1),(288,1)}
       152:{1,4,6}:{(112,1),(113,1),(117,1),(186,1),(188,1)}
       153:{3,4,6}:{(113,1),(115,1),(118,1),(187,1)}
       154:{1,3,5,6}:{(114,1),(115,1),(119,1),(180,1),(189,1),(190,1),(240,1)}
       155:{2,4,7}:{(116,1),(117,1),(188,1),(191,1)}
       156:{1,3,4,7}:{(117,1),(118,1),(119,1),(189,1),(191,1),(192,1),(251,1)}
       157:{2,5,7}:{(119,1),(120,1),(190,1),(192,1),(193,1)}
       158:{1,6,7}:{(120,1),(193,1),(243,1)}
       159:{1,3,6,7}:{(121,1),(122,1),(128,1),(194,1),(195,1),(261,1)}
       160:{2,3,5,7}:{(121,1),(123,1),(129,1),(195,1),(196,1),(198,1),(254,1),(289,1)}
       161:{1,5,7}:{(122,1),(123,1),(130,1)}
       162:{2,4,5,7}:{(123,1),(124,1),(131,1),(133,1),(196,1),(197,1),(198,1),(252,1),(254,1)}
       163:{2,4,7}:{(125,1),(127,1),(199,1),(200,1),(307,1)}
       164:{1,3,4,6}:{(125,1),(126,1),(128,1),(135,1),(200,1),(201,1),(204,1),(208,1),(258,1),(262,1),(266,1),(291,1),(294,1),(308,1)}
       165:{2,3,5}:{(126,1),(136,1),(201,1),(202,1),(211,1),(264,1)}
       166:{2,6}:{(127,1),(128,1)}
       167:{1,3,5,6}:{(128,1),(129,1),(130,1),(195,1),(201,1),(203,1),(204,1),(258,1),(260,1),(294,1)}
       168:{2,4,6}:{(129,1),(196,1),(202,1),(204,1),(205,1)}
       169:{1,4,5,6}:{(130,1),(131,1),(141,1),(197,1),(204,1),(206,1),(210,1)}
       170:{3,5,6}:{(131,1),(142,1),(198,1),(205,1),(211,1),(258,1)}
       171:{1,4,6,7}:{(132,1),(133,1),(141,1),(197,1),(207,1)}
       172:{3,6,7}:{(133,1),(142,1),(198,1)}
       173:{1,3,7}:{(134,1),(147,1),(199,1),(208,1)}
       174:{1,2,4,6}:{(134,1),(135,1),(138,1),(148,1),(200,1),(208,1),(209,1),(262,1),(266,1),(297,1),(310,1)}
       175:{1,5}:{(135,1),(136,1)}
       176:{2,4,5}:{(136,1),(137,1),(140,1),(210,1),(211,1),(264,1)}
       177:{1,2,5,6}:{(138,1),(139,1),(143,1),(151,1),(203,1),(209,1),(212,1),(214,1),(223,1),(260,1),(264,1)}
       178:{1,4,6}:{(139,1),(140,1),(144,1),(210,1),(262,1)}
       179:{3,4,6}:{(140,1),(142,1),(145,1),(211,1),(221,1),(258,1),(268,1),(291,1)}
       180:{1,3,6}:{(141,1),(142,1),(146,1),(214,1)}
       181:{1,2,4,7}:{(143,1),(144,1),(155,1),(212,1),(215,1),(216,1),(225,1),(252,1),(272,1),(290,1),(307,1)}
       182:{1,3,4,7}:{(144,1),(145,1),(146,1),(213,1),(215,1),(216,1)}
       183:{2,5,7}:{(146,1),(214,1),(216,1),(217,1),(264,1)}
       184:{2,3,6}:{(147,1),(148,1),(208,1),(218,1),(221,1),(311,1)}
       185:{2,5}:{(148,1),(149,1)}
       186:{1,4,5}:{(149,1),(150,1),(152,1),(219,1),(262,1)}
       187:{3,4,5}:{(150,1),(153,1),(211,1),(291,1)}
       188:{2,4,6}:{(151,1),(152,1),(155,1),(219,1),(221,1)}
       189:{1,3,4,6}:{(152,1),(153,1),(154,1),(156,1),(220,1),(221,1),(222,1),(271,1)}
       190:{2,5,6}:{(154,1),(157,1),(214,1),(222,1),(223,1),(264,1)}
       191:{3,7}:{(155,1),(221,1)}
       192:{2,4,7}:{(156,1),(157,1),(222,1),(224,1),(225,1),(272,1)}
       193:{1,5,7}:{(157,1),(158,1),(223,1),(225,1)}
       194:{2,6,7}:{(159,1),(166,1),(226,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(226,1),(227,1),(273,1),(275,1),(300,1)}
       196:{2,4,7}:{(160,1),(168,1),(227,1),(228,1)}
       197:{1,4,5,7}:{(161,1),(162,1),(169,1),(171,1),(227,1),(229,1)}
       198:{3,5,7}:{(162,1),(170,1),(172,1),(228,1),(273,1)}
       199:{2,3,7}:{(163,1),(173,1),(230,1),(273,1)}
       200:{2,4,6}:{(163,1),(164,1),(166,1),(230,1),(231,1),(276,1),(303,1),(312,1)}
       201:{1,3,5}:{(164,1),(165,1),(175,1),(231,1),(232,1),(277,1),(283,1)}
       202:{2,4,5}:{(165,1),(168,1),(232,1),(233,1),(246,1)}
       203:{2,5,6}:{(166,1),(167,1),(226,1),(231,1),(234,1),(303,1)}
       204:{1,4,6}:{(167,1),(168,1),(227,1),(232,1),(234,1)}
       205:{3,4,6}:{(168,1),(170,1),(228,1),(233,1)}
       206:{1,3,5,6}:{(169,1),(170,1),(180,1),(229,1),(235,1),(236,1),(240,1)}
       207:{1,3,6,7}:{(171,1),(172,1),(180,1),(229,1),(237,1)}
       208:{1,3,6}:{(173,1),(174,1),(184,1),(230,1),(238,1),(313,1)}
       209:{1,2,5}:{(174,1),(175,1),(185,1),(231,1),(238,1),(283,1)}
       210:{1,4,5}:{(175,1),(176,1),(178,1),(240,1)}
       211:{3,5}:{(176,1),(179,1)}
       212:{1,2,4,6}:{(177,1),(178,1),(181,1),(188,1),(234,1),(239,1),(241,1),(242,1),(250,1),(280,1),(288,1),(303,1)}
       213:{1,3,4,6}:{(178,1),(179,1),(180,1),(182,1),(240,1),(241,1),(242,1),(281,1)}
       214:{2,6}:{(180,1),(183,1),(243,1)}
       215:{1,3,7}:{(181,1),(191,1),(241,1),(244,1),(273,1)}
       216:{2,4,7}:{(182,1),(183,1),(242,1),(244,1),(245,1)}
       217:{1,5,7}:{(183,1),(243,1),(245,1),(283,1)}
       218:{2,3,5}:{(184,1),(185,1),(238,1),(246,1),(247,1)}
       219:{2,4,5}:{(185,1),(186,1),(188,1),(246,1),(247,1)}
       220:{1,3,4,5}:{(186,1),(187,1),(189,1),(240,1),(247,1),(248,1),(281,1),(287,1)}
       221:{3,6}:{(188,1),(191,1),(247,1)}
       222:{2,4,6}:{(189,1),(190,1),(192,1),(248,1),(249,1),(250,1),(288,1)}
       223:{1,5,6}:{(190,1),(193,1),(243,1),(250,1),(283,1)}
       224:{2,3,7}:{(191,1),(192,1),(249,1),(251,1)}
       225:{1,4,7}:{(192,1),(193,1),(250,1),(251,1)}
       226:{2,5,7}:{(194,1),(195,1),(203,1),(252,1),(307,1)}
       227:{1,4,7}:{(195,1),(196,1),(204,1),(252,1)}
       228:{3,4,7}:{(196,1),(198,1),(205,1)}
       229:{1,3,5,7}:{(197,1),(198,1),(206,1),(207,1),(253,1),(254,1)}
       230:{2,3,6}:{(199,1),(200,1),(208,1),(255,1),(258,1),(314,1)}
       231:{2,5}:{(200,1),(201,1)}
       232:{1,4,5}:{(201,1),(202,1),(204,1),(256,1),(262,1)}
       233:{3,4,5}:{(202,1),(205,1),(211,1),(268,1)}
       234:{2,4,6}:{(203,1),(204,1),(252,1),(256,1),(258,1)}
       235:{1,3,4,6}:{(204,1),(205,1),(206,1),(253,1),(257,1),(258,1),(259,1),(294,1)}
       236:{2,5,6}:{(206,1),(214,1),(254,1),(259,1),(260,1),(264,1)}
       237:{2,6,7}:{(207,1),(214,1),(254,1),(261,1)}
       238:{1,3,5}:{(208,1),(209,1),(218,1),(255,1),(262,1)}
       239:{1,2,4,5}:{(209,1),(210,1),(212,1),(219,1),(256,1),(262,1),(263,1),(264,1),(270,1),(293,1),(295,1),(299,1),(309,1),(310,1)}
       240:{1,3,5}:{(210,1),(211,1),(213,1),(264,1)}
       241:{1,3,6}:{(212,1),(215,1),(221,1),(258,1),(263,1),(265,1)}
       242:{2,4,6}:{(213,1),(214,1),(216,1),(264,1),(265,1),(266,1),(295,1)}
       243:{1,6}:{(214,1),(217,1)}
       244:{2,3,7}:{(215,1),(216,1),(265,1),(267,1),(272,1),(307,1)}
       245:{1,4,7}:{(216,1),(217,1),(266,1),(267,1)}
       246:{2,4}:{(218,1),(262,1),(268,1)}
       247:{3,5}:{(219,1),(221,1),(268,1)}
       248:{2,4,5}:{(220,1),(222,1),(264,1),(269,1),(270,1),(295,1),(299,1)}
       249:{2,3,6}:{(221,1),(222,1),(224,1),(269,1),(271,1)}
       250:{1,4,6}:{(222,1),(223,1),(225,1),(270,1),(271,1)}
       251:{1,3,7}:{(224,1),(225,1),(271,1),(272,1)}
       252:{2,4,7}:{(226,1),(227,1),(234,1),(273,1)}
       253:{1,3,4,7}:{(227,1),(228,1),(229,1),(235,1),(273,1),(274,1),(300,1)}
       254:{2,5,7}:{(229,1),(236,1),(237,1),(274,1),(275,1)}
       255:{2,3,5}:{(230,1),(231,1),(238,1),(276,1),(277,1)}
       256:{2,4,5}:{(231,1),(232,1),(234,1),(276,1),(277,1)}
       257:{1,3,4,5}:{(232,1),(233,1),(235,1),(240,1),(277,1),(278,1),(281,1),(302,1)}
       258:{3,6}:{(234,1),(273,1),(277,1)}
       259:{2,4,6}:{(235,1),(236,1),(274,1),(278,1),(279,1),(280,1),(303,1)}
       260:{1,5,6}:{(236,1),(243,1),(275,1),(280,1),(283,1)}
       261:{1,6,7}:{(237,1),(243,1),(275,1)}
       262:{1,4}:{(238,1),(246,1),(276,1)}
       263:{1,3,5}:{(239,1),(241,1),(247,1),(277,1),(281,1),(282,1),(313,1)}
       264:{2,5}:{(240,1),(242,1),(283,1)}
       265:{2,3,6}:{(241,1),(242,1),(244,1),(282,1),(284,1),(288,1),(303,1)}
       266:{1,4,6}:{(242,1),(243,1),(245,1),(283,1),(284,1),(304,1)}
       267:{1,3,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{3,4}:{(246,1),(247,1)}
       269:{2,3,5}:{(247,1),(248,1),(249,1),(286,1),(287,1)}
       270:{1,4,5}:{(248,1),(250,1),(283,1),(287,1),(304,1)}
       271:{1,3,6}:{(249,1),(250,1),(251,1),(287,1),(288,1)}
       272:{2,7}:{(251,1),(288,1)}
       273:{3,7}:{(252,1),(258,1)}
       274:{2,4,7}:{(253,1),(254,1),(259,1),(289,1),(290,1),(307,1)}
       275:{1,5,7}:{(254,1),(260,1),(261,1),(290,1)}
       276:{2,4}:{(255,1),(262,1),(291,1)}
       277:{3,5}:{(256,1),(258,1),(291,1)}
       278:{2,4,5}:{(257,1),(259,1),(264,1),(292,1),(293,1),(295,1),(309,1)}
       279:{2,3,6}:{(258,1),(259,1),(289,1),(292,1),(294,1)}
       280:{1,4,6}:{(259,1),(260,1),(290,1),(293,1),(294,1)}
       281:{1,3,4}:{(262,1),(263,1),(268,1),(291,1),(295,1)}
       282:{2,3,5}:{(263,1),(264,1),(265,1),(295,1),(296,1),(299,1),(309,1),(311,1),(314,1)}
       283:{1,5}:{(264,1),(266,1)}
       284:{1,3,6}:{(265,1),(266,1),(267,1),(296,1),(297,1)}
       285:{1,2,7}:{(267,1),(272,1),(297,1),(307,1)}
       286:{2,3,4}:{(268,1),(269,1),(295,1),(298,1),(314,1)}
       287:{1,3,5}:{(269,1),(270,1),(271,1),(298,1),(299,1)}
       288:{2,6}:{(271,1),(272,1),(299,1)}
       289:{2,3,7}:{(273,1),(274,1),(279,1),(300,1)}
       290:{1,4,7}:{(274,1),(275,1),(280,1),(300,1)}
       291:{3,4}:{(276,1),(277,1)}
       292:{2,3,5}:{(277,1),(278,1),(279,1),(301,1),(302,1)}
       293:{1,4,5}:{(278,1),(280,1),(283,1),(302,1),(304,1)}
       294:{1,3,6}:{(279,1),(280,1),(300,1),(302,1),(303,1)}
       295:{2,4}:{(281,1),(282,1),(304,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(304,1),(305,1),(313,1)}
       297:{1,2,6}:{(284,1),(285,1),(288,1),(303,1),(305,1)}
       298:{1,3,4}:{(286,1),(287,1),(304,1),(306,1),(313,1)}
       299:{2,5}:{(287,1),(288,1),(306,1)}
       300:{1,3,7}:{(289,1),(290,1),(294,1),(307,1)}
       301:{2,3,4}:{(291,1),(292,1),(295,1),(308,1),(311,1)}
       302:{1,3,5}:{(292,1),(293,1),(294,1),(308,1),(309,1)}
       303:{2,6}:{(294,1),(307,1),(309,1)}
       304:{1,4}:{(295,1),(296,1)}
       305:{1,2,5}:{(296,1),(297,1),(299,1),(309,1),(310,1)}
       306:{2,4}:{(298,1),(299,1),(311,1)}
       307:{2,7}:{(300,1),(303,1)}
       308:{1,3,4}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(302,1),(303,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

2110 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2111 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(127,1),(176,1),(183,1),(186,1),(217,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(27,1),(29,1),(144,1),(151,1),(237,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(39,1),(75,1),(90,1),(154,1),(170,1),(172,1),(234,1),(264,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(222,1),(235,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(49,1),(286,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(196,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(129,1),(214,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(58,1),(62,1),(129,1),(215,1),(308,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(49,1),(111,1),(128,1),(284,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(266,1),(280,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(56,1),(101,1),(183,1),(210,1),(217,1),(270,1),(285,1)}
        11:{1,2,3,6,7}:{(4,1),(24,1),(25,1),(77,1),(144,1),(147,1),(230,1),(239,1),(331,1),(391,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(154,1),(243,1)}
        13:{1,2,3,5,6}:{(4,1),(24,1),(28,1),(29,1),(73,1),(76,1),(79,1),(147,1),(151,1),(157,1),(230,1),(247,1),(325,1),(334,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(26,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(27,1),(29,1),(30,1),(67,1),(75,1),(81,1),(154,1),(234,1),(237,1),(244,1),(335,1)}
        16:{2,3,4,6}:{(6,1),(26,1),(34,1),(35,1),(91,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(27,1),(34,1),(35,1),(262,1),(345,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(36,1),(38,1),(39,1),(93,1),(326,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(37,1),(39,1),(77,1),(86,1),(154,1),(165,1),(172,1),(260,1),(264,1),(330,1)}
        21:{2,4,5,6}:{(9,1),(38,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(312,1),(327,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,2,3,5,7}:{(11,1),(13,1),(45,1),(46,1),(105,1),(112,1),(202,1),(294,1),(367,1),(408,1)}
        25:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(106,1),(189,1),(279,1),(285,1),(286,1)}
        26:{1,3,4,6}:{(12,1),(14,1),(16,1),(42,1),(48,1),(49,1),(111,1)}
        27:{1,3,5,7}:{(12,1),(15,1),(17,1),(43,1),(48,1),(49,1),(291,1),(367,1)}
        28:{1,2,4,6}:{(13,1),(45,1),(50,1),(51,1),(111,1),(196,1),(198,1),(407,1)}
        29:{1,2,5}:{(14,1),(48,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(49,1),(52,1),(98,1),(111,1),(284,1),(286,1)}
        31:{2,3,4,6,7}:{(16,1),(44,1),(54,1),(60,1),(104,1),(121,1),(129,1),(191,1),(209,1),(285,1),(349,1),(405,1),(424,1)}
        32:{2,3,5,6,7}:{(22,1),(55,1),(56,1),(119,1),(204,1),(210,1)}
        33:{2,3,4,5,7}:{(17,1),(47,1),(57,1),(58,1),(120,1),(126,1),(129,1),(181,1),(186,1),(277,1)}
        34:{2,3,5}:{(16,1),(48,1),(58,1)}
        35:{2,3,6}:{(17,1),(18,1),(49,1)}
        36:{2,5,6}:{(18,1),(19,1),(62,1)}
        37:{2,4,6,7}:{(18,1),(20,1),(60,1),(62,1),(129,1),(306,1),(308,1)}
        38:{1,4,5,6}:{(19,1),(21,1),(61,1),(64,1),(111,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(64,1),(131,1),(363,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(266,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(56,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(26,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(27,1),(67,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(66,1),(70,1),(71,1),(77,1),(142,1),(145,1),(147,1),(154,1),(238,1),(324,1),(330,1),(391,1),(419,1)}
        45:{1,2,4,7}:{(24,1),(28,1),(71,1),(154,1),(246,1),(419,1)}
        46:{1,2,5,7}:{(25,1),(29,1),(70,1),(73,1),(325,1),(327,1)}
        47:{1,3,4,5,7}:{(27,1),(33,1),(67,1),(74,1),(75,1),(138,1),(150,1),(154,1),(227,1),(229,1),(234,1),(322,1)}
        48:{1,3,5}:{(26,1),(29,1),(34,1),(68,1),(75,1)}
        49:{1,3,6}:{(27,1),(30,1),(35,1),(69,1)}
        50:{1,3,4,6}:{(28,1),(71,1),(78,1),(79,1),(147,1),(243,1),(334,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(75,1),(79,1),(152,1),(325,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(36,1),(76,1),(81,1),(136,1),(326,1)}
        53:{1,2,4,6,7}:{(30,1),(37,1),(77,1),(81,1),(137,1),(154,1),(330,1),(331,1),(335,1)}
        54:{2,3,5,7}:{(31,1),(34,1),(70,1),(83,1),(84,1),(255,1),(327,1),(379,1)}
        55:{1,3,5,6,7}:{(32,1),(39,1),(85,1),(86,1),(165,1),(252,1),(260,1)}
        56:{2,4,6,7}:{(32,1),(41,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(35,1),(74,1),(88,1),(91,1),(163,1),(235,1)}
        58:{2,4,5}:{(34,1),(75,1),(90,1),(91,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(36,1),(76,1),(91,1),(92,1),(93,1)}
        60:{2,3,6,7}:{(35,1),(37,1),(77,1),(92,1),(165,1),(345,1)}
        61:{2,4,5,6}:{(36,1),(38,1),(91,1),(93,1),(94,1)}
        62:{2,5,7}:{(36,1),(37,1),(39,1)}
        63:{1,3,4,5,6}:{(38,1),(40,1),(93,1),(95,1),(96,1),(153,1),(173,1),(231,1),(249,1),(336,1),(393,1)}
        64:{1,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(94,1),(154,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(229,1),(312,1)}
        66:{2,3,4,6,7}:{(42,1),(44,1),(97,1),(101,1),(104,1),(177,1),(183,1),(191,1),(270,1),(285,1),(300,1),(374,1),(411,1)}
        67:{2,4,5,7}:{(43,1),(47,1),(98,1),(99,1),(180,1),(183,1),(275,1),(359,1)}
        68:{2,3,5}:{(42,1),(48,1),(99,1)}
        69:{2,3,6}:{(43,1),(49,1),(98,1)}
        70:{1,3,5,7}:{(44,1),(46,1),(48,1),(54,1),(97,1),(102,1),(103,1),(361,1),(363,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(104,1),(105,1),(367,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(51,1),(102,1),(105,1),(106,1),(186,1)}
        73:{1,2,5,6}:{(46,1),(103,1),(106,1),(280,1),(286,1)}
        74:{1,3,4,6}:{(47,1),(49,1),(57,1),(98,1),(108,1),(111,1),(182,1),(284,1)}
        75:{1,4,5}:{(48,1),(58,1),(99,1),(111,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(100,1),(111,1),(112,1)}
        77:{1,3,6,7}:{(49,1),(53,1),(60,1),(101,1),(112,1),(367,1)}
        78:{2,3,4,6}:{(50,1),(104,1),(114,1),(115,1),(191,1),(198,1),(214,1),(274,1),(307,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(61,1),(106,1),(111,1),(116,1),(117,1),(132,1),(179,1),(184,1),(198,1),(218,1),(280,1),(289,1),(292,1),(356,1),(362,1),(368,1),(399,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(62,1),(112,1),(180,1),(363,1)}
        82:{2,4,5,6,7}:{(56,1),(118,1),(119,1),(204,1),(267,1),(370,1)}
        83:{2,4,5,7}:{(54,1),(58,1),(102,1),(120,1),(121,1),(129,1),(402,1),(424,1)}
        84:{2,3,5,6}:{(54,1),(103,1),(121,1),(191,1),(205,1),(280,1)}
        85:{2,5,6,7}:{(55,1),(62,1),(123,1),(306,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(64,1),(123,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(119,1)}
        88:{2,3,5,6}:{(57,1),(108,1),(125,1),(126,1),(205,1),(280,1)}
        89:{2,3,4,6,7}:{(57,1),(60,1),(109,1),(126,1),(129,1),(209,1),(212,1),(277,1),(285,1),(355,1)}
        90:{3,4,5}:{(58,1),(128,1)}
        91:{2,4,6}:{(58,1),(59,1),(111,1),(128,1),(129,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(62,1),(112,1),(129,1),(131,1)}
        93:{3,5,6}:{(61,1),(128,1),(131,1)}
        94:{2,4,5,7}:{(61,1),(62,1),(64,1),(123,1),(129,1),(131,1)}
        95:{2,4,5,6}:{(63,1),(130,1),(132,1),(133,1),(198,1),(218,1),(280,1)}
        96:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(124,1),(131,1),(133,1),(199,1),(219,1),(281,1),(296,1),(369,1),(410,1)}
        97:{2,3,5,7}:{(66,1),(68,1),(70,1),(134,1),(135,1),(312,1),(327,1),(340,1)}
        98:{2,4,6}:{(67,1),(69,1),(74,1),(136,1)}
        99:{2,4,5}:{(68,1),(75,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(139,1),(140,1),(225,1)}
       101:{2,3,6,7}:{(69,1),(77,1),(137,1),(140,1),(317,1),(386,1)}
       102:{1,4,5,7}:{(70,1),(75,1),(83,1),(134,1),(142,1),(154,1),(388,1),(419,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(84,1),(135,1),(142,1),(147,1),(238,1),(326,1)}
       104:{2,3,4,7}:{(71,1),(78,1),(145,1),(146,1),(246,1),(345,1),(386,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(79,1),(146,1),(147,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(142,1),(147,1),(235,1)}
       107:{1,2,5,6,7}:{(73,1),(81,1),(85,1),(143,1),(148,1),(224,1),(252,1),(327,1),(331,1),(339,1),(387,1),(390,1),(416,1)}
       108:{1,3,5,6}:{(74,1),(88,1),(136,1),(149,1),(150,1),(225,1),(326,1)}
       109:{1,3,4,6,7}:{(74,1),(77,1),(89,1),(137,1),(150,1),(154,1),(229,1),(240,1),(317,1),(322,1),(330,1),(384,1)}
       110:{1,3,4,5}:{(75,1),(79,1),(90,1),(138,1),(152,1),(153,1),(388,1),(392,1),(413,1)}
       111:{1,4,6}:{(75,1),(76,1),(91,1),(139,1),(154,1)}
       112:{1,3,5,7}:{(76,1),(77,1),(81,1),(92,1),(140,1),(154,1)}
       113:{1,2,3,6}:{(144,1),(151,1),(155,1),(334,1)}
       114:{1,3,4,6}:{(78,1),(145,1),(155,1),(156,1),(238,1),(243,1),(245,1),(334,1)}
       115:{2,3,5}:{(78,1),(79,1),(152,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(93,1),(147,1),(153,1),(157,1),(158,1),(225,1),(334,1),(393,1),(414,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(94,1),(148,1),(154,1),(158,1),(175,1),(226,1),(232,1),(246,1),(265,1),(327,1),(333,1),(335,1),(385,1),(390,1),(394,1),(415,1),(419,1)}
       118:{1,4,5,6,7}:{(82,1),(86,1),(159,1),(160,1),(232,1),(252,1),(338,1)}
       119:{3,5,6,7}:{(82,1),(87,1),(312,1),(395,1)}
       120:{3,4,5,7}:{(83,1),(90,1),(163,1),(172,1),(255,1),(413,1),(426,1)}
       121:{2,4,6}:{(83,1),(84,1),(142,1),(163,1)}
       122:{2,3,5,6,7}:{(84,1),(85,1),(92,1),(143,1),(164,1),(165,1),(239,1),(255,1),(327,1),(416,1),(418,1),(425,1)}
       123:{2,4,6,7}:{(85,1),(86,1),(94,1),(165,1)}
       124:{1,3,4,6,7}:{(86,1),(87,1),(96,1),(160,1),(165,1),(166,1),(250,1),(260,1),(338,1),(395,1)}
       125:{2,4,5,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       126:{2,3,5,7}:{(88,1),(89,1),(150,1),(169,1),(255,1),(327,1)}
       127:{2,3,4,5}:{(90,1),(152,1),(170,1),(171,1),(320,1),(392,1)}
       128:{3,4,6}:{(90,1),(91,1),(93,1),(172,1)}
       129:{2,4,7}:{(91,1),(92,1),(154,1),(172,1)}
       130:{2,3,5,6}:{(93,1),(95,1),(171,1),(173,1),(174,1),(393,1)}
       131:{3,5,7}:{(93,1),(94,1),(165,1),(172,1)}
       132:{1,4,5,6}:{(95,1),(173,1),(175,1),(245,1),(326,1)}
       133:{2,4,5,7}:{(95,1),(96,1),(166,1),(174,1),(175,1),(246,1),(265,1),(327,1)}
       134:{2,4,5,7}:{(97,1),(99,1),(102,1),(176,1),(177,1),(183,1),(371,1),(411,1)}
       135:{2,3,5,6}:{(97,1),(103,1),(177,1),(191,1),(266,1),(280,1)}
       136:{2,5,6}:{(98,1),(108,1),(180,1)}
       137:{2,4,6,7}:{(98,1),(101,1),(109,1),(180,1),(183,1),(359,1),(406,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(111,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(112,1),(180,1),(183,1),(273,1)}
       141:{1,3,4,5,7}:{(102,1),(105,1),(110,1),(120,1),(176,1),(186,1),(187,1),(199,1),(281,1)}
       142:{1,4,6}:{(102,1),(103,1),(121,1),(177,1)}
       143:{1,3,5,6,7}:{(103,1),(107,1),(112,1),(122,1),(178,1),(188,1),(192,1),(281,1),(287,1),(363,1),(408,1)}
       144:{1,2,3,7}:{(113,1),(189,1),(367,1)}
       145:{1,3,4,7}:{(104,1),(114,1),(189,1),(190,1),(293,1),(367,1)}
       146:{2,3,5,7}:{(104,1),(105,1),(115,1),(186,1),(190,1),(191,1)}
       147:{1,3,6}:{(105,1),(106,1),(191,1)}
       148:{1,2,4,6,7}:{(106,1),(107,1),(117,1),(123,1),(188,1),(192,1),(211,1),(271,1),(285,1),(306,1),(366,1),(370,1),(406,1),(421,1)}
       149:{1,4,5,6}:{(108,1),(111,1),(125,1),(179,1),(195,1)}
       150:{1,3,5,7}:{(108,1),(109,1),(126,1),(180,1),(195,1),(273,1),(363,1)}
       151:{1,2,3,5}:{(113,1),(196,1),(200,1),(291,1)}
       152:{2,4,5}:{(110,1),(115,1),(197,1),(198,1)}
       153:{1,3,4,6}:{(110,1),(111,1),(116,1),(128,1),(182,1),(198,1),(199,1),(407,1),(409,1),(422,1)}
       154:{1,4,7}:{(111,1),(112,1),(129,1),(183,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(189,1),(196,1),(200,1),(286,1)}
       156:{1,3,5}:{(114,1),(115,1),(197,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(191,1),(198,1),(201,1),(202,1),(218,1),(280,1),(307,1),(356,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(131,1),(192,1),(199,1),(202,1),(273,1),(367,1),(410,1),(423,1)}
       159:{2,4,5,6,7}:{(118,1),(123,1),(203,1),(204,1),(206,1),(297,1)}
       160:{1,3,5,6,7}:{(118,1),(119,1),(124,1),(203,1),(204,1),(281,1)}
       161:{2,4,5,6}:{(121,1),(184,1),(205,1),(206,1),(280,1)}
       162:{2,3,4,5,7}:{(120,1),(127,1),(186,1),(207,1),(208,1),(217,1),(302,1),(352,1),(402,1),(424,1)}
       163:{3,4,6}:{(120,1),(121,1),(205,1)}
       164:{2,4,6,7}:{(121,1),(122,1),(129,1),(188,1),(206,1),(209,1),(424,1)}
       165:{3,6,7}:{(123,1),(131,1)}
       166:{2,4,6,7}:{(124,1),(133,1),(204,1),(210,1),(211,1),(306,1)}
       167:{2,3,5,6,7}:{(126,1),(193,1),(212,1),(299,1),(355,1),(360,1)}
       168:{3,4,5,6}:{(125,1),(128,1),(205,1),(213,1)}
       169:{2,4,5,7}:{(125,1),(126,1),(129,1),(195,1),(212,1),(213,1)}
       170:{1,3,4,5}:{(127,1),(197,1),(215,1),(216,1),(291,1)}
       171:{2,3,4,6}:{(127,1),(128,1),(130,1),(198,1),(216,1),(217,1),(358,1),(409,1)}
       172:{3,4,7}:{(128,1),(129,1),(131,1)}
       173:{1,3,5,6}:{(130,1),(132,1),(216,1),(218,1),(219,1)}
       174:{2,3,5,7}:{(130,1),(131,1),(133,1),(210,1),(217,1),(219,1),(410,1)}
       175:{1,4,5,7}:{(132,1),(133,1),(211,1),(219,1),(293,1),(363,1)}
       176:{3,4,5,7}:{(134,1),(138,1),(222,1),(229,1),(312,1),(392,1),(420,1)}
       177:{2,4,6}:{(134,1),(135,1),(142,1),(222,1)}
       178:{2,3,5,6,7}:{(135,1),(140,1),(143,1),(223,1),(224,1),(239,1),(312,1),(317,1),(327,1),(339,1),(395,1),(397,1)}
       179:{2,4,5,6}:{(136,1),(139,1),(149,1),(225,1),(226,1)}
       180:{2,5,7}:{(136,1),(137,1),(150,1)}
       181:{2,3,4,5}:{(138,1),(152,1),(227,1),(228,1),(262,1),(413,1)}
       182:{3,4,6}:{(138,1),(139,1),(225,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(154,1),(229,1)}
       184:{1,4,5,6}:{(142,1),(161,1),(220,1),(231,1),(232,1),(326,1)}
       185:{1,2,3,5,7}:{(144,1),(151,1),(230,1),(233,1),(237,1),(325,1),(328,1)}
       186:{2,4,5,7}:{(141,1),(146,1),(152,1),(234,1),(235,1),(246,1),(327,1)}
       187:{1,3,4,6}:{(141,1),(142,1),(147,1),(163,1),(222,1),(231,1),(235,1)}
       188:{1,4,6,7}:{(142,1),(143,1),(154,1),(164,1),(223,1),(232,1),(419,1)}
       189:{1,2,4,7}:{(144,1),(145,1),(155,1),(237,1)}
       190:{1,3,5,7}:{(145,1),(146,1),(156,1),(234,1),(237,1),(238,1)}
       191:{2,3,6}:{(146,1),(147,1),(235,1),(238,1)}
       192:{1,3,6,7}:{(147,1),(148,1),(158,1),(165,1),(239,1),(317,1),(395,1),(425,1)}
       193:{1,3,5,6,7}:{(150,1),(167,1),(224,1),(240,1),(317,1),(384,1),(387,1)}
       194:{1,3,4,5,6}:{(149,1),(153,1),(168,1),(225,1),(231,1),(241,1),(242,1),(309,1),(318,1),(376,1),(414,1)}
       195:{1,4,5,7}:{(149,1),(150,1),(154,1),(169,1),(226,1),(240,1)}
       196:{1,2,4}:{(151,1),(243,1)}
       197:{1,4,5}:{(152,1),(156,1),(245,1)}
       198:{2,4,6}:{(152,1),(153,1),(157,1),(245,1),(246,1)}
       199:{1,3,4,7}:{(153,1),(154,1),(158,1),(172,1),(229,1),(246,1),(419,1),(420,1),(426,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(238,1),(245,1),(247,1),(248,1),(326,1),(334,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(239,1),(246,1),(248,1),(265,1),(327,1),(345,1),(385,1),(386,1)}
       203:{3,5,6,7}:{(159,1),(165,1),(250,1),(255,1)}
       204:{2,5,6,7}:{(160,1),(166,1),(252,1),(327,1)}
       205:{3,5,6}:{(161,1),(163,1),(255,1)}
       206:{2,4,5,7}:{(161,1),(164,1),(232,1),(255,1),(327,1)}
       207:{1,3,4,5,7}:{(162,1),(170,1),(234,1),(257,1),(258,1),(264,1),(328,1),(342,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(162,1),(163,1),(235,1),(254,1),(258,1),(382,1),(417,1)}
       209:{3,4,6,7}:{(163,1),(164,1),(165,1),(172,1),(255,1),(425,1),(426,1)}
       210:{2,3,6,7}:{(165,1),(166,1),(174,1),(260,1),(395,1)}
       211:{1,4,6,7}:{(166,1),(175,1),(252,1),(260,1)}
       212:{2,4,6,7}:{(167,1),(169,1),(240,1),(261,1)}
       213:{3,4,5,7}:{(168,1),(169,1),(172,1),(255,1),(261,1)}
       214:{2,3,4}:{(243,1),(262,1)}
       215:{2,4,5}:{(170,1),(262,1),(263,1)}
       216:{1,3,4,6}:{(170,1),(171,1),(173,1),(245,1),(263,1),(264,1),(334,1)}
       217:{2,3,4,7}:{(171,1),(172,1),(174,1),(246,1),(264,1),(386,1),(420,1)}
       218:{2,5,6}:{(173,1),(263,1),(265,1)}
       219:{1,3,5,7}:{(173,1),(174,1),(175,1),(260,1),(264,1),(265,1)}
       220:{2,4,5,6}:{(177,1),(184,1),(266,1),(267,1),(280,1)}
       221:{2,3,4,5,7}:{(176,1),(181,1),(186,1),(268,1),(269,1),(277,1),(303,1),(351,1),(371,1),(411,1)}
       222:{3,4,6}:{(176,1),(177,1),(266,1)}
       223:{2,4,6,7}:{(177,1),(178,1),(183,1),(188,1),(267,1),(270,1),(411,1)}
       224:{2,5,6,7}:{(180,1),(193,1),(271,1),(406,1)}
       225:{3,5,6}:{(179,1),(182,1),(273,1)}
       226:{2,4,5,7}:{(179,1),(180,1),(183,1),(195,1),(271,1),(273,1)}
       227:{1,3,4,5}:{(181,1),(197,1),(275,1),(276,1),(291,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(198,1),(272,1),(276,1),(277,1),(307,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(273,1)}
       230:{1,2,3,6}:{(185,1),(279,1),(286,1),(364,1)}
       231:{1,3,5,6}:{(184,1),(187,1),(205,1),(266,1),(280,1),(281,1)}
       232:{1,4,5,7}:{(184,1),(188,1),(206,1),(267,1),(281,1),(363,1)}
       233:{1,2,4,7}:{(185,1),(196,1),(279,1),(282,1)}
       234:{1,4,5,7}:{(186,1),(190,1),(197,1),(284,1),(293,1),(363,1)}
       235:{2,4,6}:{(186,1),(187,1),(191,1),(280,1),(284,1)}
       236:{1,3,4,6,7}:{(187,1),(188,1),(192,1),(199,1),(209,1),(270,1),(281,1),(285,1)}
       237:{1,2,5,7}:{(189,1),(190,1),(200,1),(286,1)}
       238:{1,3,6}:{(190,1),(191,1),(284,1),(286,1)}
       239:{2,3,6,7}:{(191,1),(192,1),(202,1),(285,1),(287,1),(306,1),(406,1)}
       240:{1,4,6,7}:{(193,1),(195,1),(212,1),(271,1)}
       241:{2,4,5,6}:{(194,1),(198,1),(272,1),(280,1),(289,1),(290,1),(356,1)}
       242:{1,3,4,5,7}:{(194,1),(195,1),(199,1),(213,1),(273,1),(281,1),(288,1),(290,1),(347,1),(357,1),(400,1),(423,1)}
       243:{1,3,4}:{(196,1),(214,1),(274,1),(291,1)}
       244:{1,2,4,5}:{(196,1),(197,1),(200,1),(215,1),(275,1),(291,1),(292,1)}
       245:{1,4,6}:{(197,1),(198,1),(201,1),(293,1)}
       246:{2,4,7}:{(198,1),(199,1),(202,1),(293,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(218,1),(286,1),(292,1),(294,1),(356,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(287,1),(293,1),(294,1),(363,1),(367,1)}
       249:{3,4,5,6}:{(205,1),(295,1),(296,1),(422,1)}
       250:{3,4,6,7}:{(203,1),(296,1),(297,1)}
       251:{2,3,5,6,7}:{(203,1),(204,1),(210,1),(297,1),(298,1),(302,1)}
       252:{1,5,6,7}:{(204,1),(211,1),(363,1)}
       253:{2,4,5,6,7}:{(206,1),(212,1),(278,1),(299,1),(360,1),(421,1)}
       254:{2,3,5,6}:{(205,1),(208,1),(280,1),(295,1),(301,1),(302,1)}
       255:{3,5,7}:{(205,1),(206,1),(209,1)}
       256:{2,3,4,7}:{(214,1),(282,1),(300,1),(303,1),(411,1)}
       257:{2,4,5,7}:{(207,1),(215,1),(303,1),(304,1),(308,1),(371,1),(373,1),(411,1)}
       258:{1,3,4,6}:{(207,1),(208,1),(284,1),(301,1),(304,1),(364,1),(407,1),(409,1)}
       259:{2,3,4,6,7}:{(208,1),(209,1),(210,1),(217,1),(285,1),(297,1),(302,1),(305,1),(405,1),(424,1)}
       260:{1,3,6,7}:{(210,1),(211,1),(219,1),(306,1)}
       261:{3,4,6,7}:{(212,1),(213,1),(299,1)}
       262:{2,3,5}:{(214,1),(215,1),(291,1),(307,1)}
       263:{2,4,6}:{(215,1),(216,1),(218,1),(307,1),(308,1)}
       264:{1,3,4,7}:{(216,1),(217,1),(219,1),(293,1),(308,1),(367,1)}
       265:{2,5,7}:{(218,1),(219,1),(306,1),(308,1)}
       266:{3,5,6}:{(220,1),(222,1),(312,1)}
       267:{2,4,5,7}:{(220,1),(223,1),(232,1),(312,1),(327,1)}
       268:{1,3,4,5,7}:{(221,1),(227,1),(234,1),(314,1),(315,1),(322,1),(328,1),(381,1),(388,1),(413,1),(419,1),(426,1)}
       269:{2,3,4,6}:{(221,1),(222,1),(235,1),(311,1),(315,1),(343,1),(396,1)}
       270:{3,4,6,7}:{(222,1),(223,1),(229,1),(312,1),(317,1),(395,1),(420,1)}
       271:{2,4,6,7}:{(224,1),(226,1),(240,1),(317,1)}
       272:{2,3,5,6}:{(225,1),(228,1),(241,1),(318,1),(319,1),(414,1)}
       273:{3,5,7}:{(225,1),(226,1),(229,1),(317,1)}
       274:{2,3,4}:{(243,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(245,1),(318,1),(321,1),(322,1),(334,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(246,1),(319,1),(322,1),(345,1),(426,1)}
       278:{1,4,5,6,7}:{(232,1),(240,1),(253,1),(310,1),(323,1),(387,1),(412,1)}
       279:{1,2,4,6}:{(230,1),(233,1),(324,1),(325,1)}
       280:{2,5,6}:{(231,1),(235,1),(326,1),(327,1)}
       281:{1,3,5,7}:{(231,1),(232,1),(236,1),(255,1),(312,1),(327,1)}
       282:{1,3,4,7}:{(233,1),(243,1),(256,1),(313,1),(324,1),(328,1),(419,1)}
       283:{1,2,4,5,7}:{(233,1),(234,1),(237,1),(244,1),(257,1),(314,1),(325,1),(328,1),(329,1),(335,1),(388,1),(390,1),(419,1)}
       284:{1,4,6}:{(234,1),(235,1),(238,1),(326,1)}
       285:{2,4,6,7}:{(235,1),(236,1),(239,1),(246,1),(327,1),(330,1)}
       286:{1,2,6}:{(237,1),(238,1)}
       287:{1,3,6,7}:{(238,1),(239,1),(248,1),(330,1),(331,1)}
       288:{1,3,4,6,7}:{(240,1),(242,1),(261,1),(317,1),(323,1),(332,1),(375,1),(384,1),(412,1),(425,1)}
       289:{1,4,5,6}:{(241,1),(245,1),(318,1),(326,1),(333,1)}
       290:{2,4,5,7}:{(241,1),(242,1),(246,1),(319,1),(327,1),(332,1),(333,1),(385,1)}
       291:{1,3,5}:{(243,1),(244,1),(262,1),(320,1),(334,1)}
       292:{1,2,4,6}:{(244,1),(245,1),(247,1),(263,1),(321,1),(334,1),(335,1)}
       293:{1,4,7}:{(245,1),(246,1),(248,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(265,1),(331,1),(335,1),(385,1)}
       295:{2,4,5,6}:{(249,1),(254,1),(336,1),(337,1),(417,1)}
       296:{3,4,5,7}:{(249,1),(250,1),(255,1),(337,1),(426,1)}
       297:{2,4,6,7}:{(250,1),(251,1),(337,1),(338,1)}
       298:{1,3,5,6,7}:{(251,1),(252,1),(260,1),(338,1),(339,1),(342,1),(395,1)}
       299:{3,5,6,7}:{(253,1),(255,1),(261,1),(425,1)}
       300:{2,3,4,6}:{(256,1),(324,1),(340,1),(343,1),(396,1)}
       301:{1,3,5,6}:{(254,1),(258,1),(326,1),(336,1),(341,1),(342,1),(393,1)}
       302:{2,3,5,7}:{(254,1),(255,1),(259,1),(327,1),(337,1),(342,1)}
       303:{2,3,5,7}:{(256,1),(257,1),(262,1),(328,1),(340,1),(343,1),(345,1)}
       304:{2,4,6}:{(257,1),(258,1),(341,1),(343,1)}
       305:{1,3,4,6,7}:{(258,1),(259,1),(260,1),(264,1),(330,1),(338,1),(342,1),(344,1),(391,1),(395,1),(419,1),(420,1)}
       306:{2,6,7}:{(260,1),(265,1)}
       307:{2,3,6}:{(262,1),(263,1),(334,1),(345,1)}
       308:{2,4,7}:{(263,1),(264,1),(265,1),(345,1)}
       309:{3,4,5,6}:{(266,1),(346,1),(347,1),(409,1)}
       310:{2,4,5,6,7}:{(267,1),(271,1),(278,1),(348,1),(360,1),(398,1)}
       311:{2,3,5,6}:{(266,1),(269,1),(280,1),(346,1),(350,1),(351,1)}
       312:{3,5,7}:{(266,1),(267,1),(270,1)}
       313:{2,3,4,7}:{(274,1),(282,1),(349,1),(352,1),(424,1)}
       314:{2,4,5,7}:{(268,1),(275,1),(352,1),(353,1),(359,1),(402,1),(404,1),(424,1)}
       315:{1,3,4,6}:{(268,1),(269,1),(284,1),(350,1),(353,1),(364,1),(407,1),(422,1)}
       316:{2,3,4,6,7}:{(269,1),(270,1),(277,1),(285,1),(351,1),(354,1),(355,1),(374,1),(398,1),(411,1)}
       317:{3,6,7}:{(271,1),(273,1)}
       318:{1,3,5,6}:{(272,1),(276,1),(289,1),(356,1),(357,1)}
       319:{2,3,5,7}:{(272,1),(273,1),(277,1),(290,1),(355,1),(357,1),(423,1)}
       320:{2,3,5}:{(274,1),(275,1),(291,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(356,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(293,1),(357,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(281,1),(288,1),(299,1),(348,1),(360,1)}
       324:{1,3,4,6}:{(279,1),(282,1),(300,1),(349,1),(361,1),(364,1),(407,1)}
       325:{1,2,5}:{(279,1),(361,1)}
       326:{1,5,6}:{(280,1),(284,1),(363,1)}
       327:{2,5,7}:{(280,1),(281,1),(285,1),(363,1)}
       328:{1,3,5,7}:{(282,1),(283,1),(291,1),(303,1),(352,1),(361,1),(364,1),(367,1)}
       329:{1,2,4,6}:{(283,1),(284,1),(286,1),(304,1),(353,1),(362,1),(364,1),(407,1)}
       330:{1,4,6,7}:{(284,1),(285,1),(287,1),(293,1),(363,1)}
       331:{1,2,6,7}:{(286,1),(287,1),(294,1),(306,1),(406,1)}
       332:{2,4,6,7}:{(288,1),(290,1),(355,1),(360,1),(366,1),(406,1)}
       333:{1,4,5,7}:{(289,1),(290,1),(293,1),(357,1),(363,1),(366,1)}
       334:{1,3,6}:{(291,1),(292,1),(307,1),(358,1),(367,1)}
       335:{1,2,4,7}:{(292,1),(293,1),(294,1),(308,1),(359,1),(367,1)}
       336:{1,4,5,6}:{(295,1),(301,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(295,1),(296,1),(297,1),(302,1),(369,1),(424,1)}
       338:{1,4,6,7}:{(297,1),(298,1),(369,1),(370,1)}
       339:{2,5,6,7}:{(298,1),(306,1),(370,1),(373,1)}
       340:{2,3,5}:{(300,1),(361,1),(371,1)}
       341:{2,5,6}:{(301,1),(304,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(305,1),(363,1),(369,1),(373,1),(410,1)}
       343:{2,3,6}:{(303,1),(304,1),(364,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(306,1),(308,1),(373,1),(374,1),(411,1)}
       345:{2,3,7}:{(307,1),(308,1),(367,1)}
       346:{2,4,5,6}:{(309,1),(311,1),(376,1),(377,1),(396,1)}
       347:{3,4,5,7}:{(309,1),(312,1),(375,1),(377,1),(420,1)}
       348:{3,5,6,7}:{(310,1),(312,1),(317,1),(375,1)}
       349:{2,3,4,6}:{(313,1),(324,1),(379,1),(382,1),(417,1)}
       350:{1,3,5,6}:{(311,1),(315,1),(326,1),(376,1),(380,1),(381,1),(414,1)}
       351:{2,3,5,7}:{(311,1),(312,1),(316,1),(327,1),(377,1),(381,1)}
       352:{2,3,5,7}:{(313,1),(314,1),(320,1),(328,1),(379,1),(382,1),(386,1)}
       353:{2,4,6}:{(314,1),(315,1),(380,1),(382,1)}
       354:{1,3,4,6,7}:{(315,1),(316,1),(322,1),(330,1),(381,1),(383,1),(384,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       355:{2,3,6,7}:{(317,1),(319,1),(332,1),(384,1),(425,1)}
       356:{2,5,6}:{(318,1),(321,1),(385,1)}
       357:{1,3,5,7}:{(318,1),(319,1),(322,1),(333,1),(384,1),(385,1)}
       358:{2,3,6}:{(320,1),(321,1),(334,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(385,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(327,1),(332,1),(387,1)}
       361:{1,3,5}:{(324,1),(325,1),(340,1),(379,1),(388,1)}
       362:{1,2,5,6}:{(325,1),(326,1),(329,1),(341,1),(380,1),(389,1),(390,1)}
       363:{1,5,7}:{(326,1),(327,1),(330,1)}
       364:{1,3,6}:{(328,1),(329,1),(343,1),(382,1)}
       365:{1,2,4,6,7}:{(329,1),(330,1),(331,1),(335,1),(344,1),(383,1),(390,1),(391,1),(419,1)}
       366:{1,4,6,7}:{(332,1),(333,1),(384,1),(387,1)}
       367:{1,3,7}:{(334,1),(335,1),(345,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(341,1),(393,1),(394,1),(396,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(338,1),(342,1),(394,1),(419,1)}
       370:{2,4,6,7}:{(338,1),(339,1),(394,1),(395,1)}
       371:{2,4,5}:{(340,1),(388,1),(392,1),(396,1)}
       372:{2,3,5,6}:{(340,1),(341,1),(343,1),(389,1),(393,1),(396,1),(397,1)}
       373:{2,5,7}:{(341,1),(342,1),(344,1)}
       374:{2,3,6,7}:{(343,1),(344,1),(345,1),(391,1),(395,1),(397,1)}
       375:{3,4,6,7}:{(347,1),(348,1),(398,1)}
       376:{1,4,5,6}:{(346,1),(350,1),(399,1),(400,1),(407,1)}
       377:{2,4,5,7}:{(346,1),(347,1),(351,1),(398,1),(400,1),(411,1)}
       378:{2,3,5,6,7}:{(348,1),(351,1),(355,1),(360,1),(398,1),(401,1)}
       379:{2,3,5}:{(349,1),(361,1),(402,1)}
       380:{2,5,6}:{(350,1),(353,1),(404,1)}
       381:{1,3,5,7}:{(350,1),(351,1),(354,1),(363,1),(400,1),(404,1),(423,1)}
       382:{2,3,6}:{(352,1),(353,1),(364,1)}
       383:{2,4,6,7}:{(353,1),(354,1),(359,1),(404,1),(405,1),(406,1),(424,1)}
       384:{1,3,6,7}:{(355,1),(357,1),(366,1),(406,1)}
       385:{2,5,7}:{(356,1),(357,1),(359,1),(406,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(363,1),(366,1)}
       388:{1,4,5}:{(361,1),(371,1),(402,1),(407,1)}
       389:{1,3,5,6}:{(361,1),(362,1),(364,1),(372,1),(403,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(362,1),(363,1),(365,1),(373,1),(404,1),(408,1)}
       391:{1,3,6,7}:{(364,1),(365,1),(367,1),(374,1),(405,1),(408,1)}
       392:{3,4,5}:{(371,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(370,1),(373,1),(410,1),(411,1)}
       395:{3,6,7}:{(370,1),(410,1)}
       396:{2,4,6}:{(371,1),(372,1),(407,1),(409,1),(411,1)}
       397:{2,3,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(411,1)}
       398:{2,4,6,7}:{(375,1),(377,1),(378,1),(412,1)}
       399:{2,4,5,6}:{(376,1),(380,1),(414,1),(415,1),(417,1)}
       400:{1,4,5,7}:{(376,1),(377,1),(381,1),(412,1),(415,1),(419,1)}
       401:{1,3,5,6,7}:{(378,1),(381,1),(384,1),(387,1),(412,1),(416,1),(425,1)}
       402:{2,4,5}:{(379,1),(388,1),(413,1),(417,1)}
       403:{2,3,5,6}:{(379,1),(380,1),(382,1),(389,1),(414,1),(417,1),(418,1)}
       404:{2,5,7}:{(380,1),(381,1),(383,1)}
       405:{2,3,6,7}:{(382,1),(383,1),(386,1),(391,1),(418,1),(425,1)}
       406:{2,6,7}:{(384,1),(385,1)}
       407:{1,4,6}:{(388,1),(389,1),(396,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(396,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(395,1),(420,1)}
       411:{2,4,7}:{(396,1),(397,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(400,1),(401,1),(421,1)}
       413:{3,4,5}:{(402,1),(422,1)}
       414:{3,5,6}:{(399,1),(422,1),(423,1)}
       415:{2,4,5,7}:{(399,1),(400,1),(404,1),(421,1),(423,1),(424,1)}
       416:{2,5,6,7}:{(401,1),(404,1),(406,1),(421,1)}
       417:{2,4,6}:{(402,1),(403,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(403,1),(404,1),(405,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(415,1),(416,1),(425,1)}
       422:{3,4,6}:{(413,1),(414,1),(417,1),(426,1)}
       423:{3,5,7}:{(414,1),(415,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2112 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(36,1),(37,1),(87,1),(160,1),(161,1),(231,1),(239,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(61,1),(124,1),(261,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(30,1),(60,1),(120,1),(135,1),(136,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(159,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(284,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(47,1),(87,1),(91,1),(93,1),(160,1),(223,1),(234,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(45,1),(101,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(89,1),(108,1),(109,1),(156,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(117,1),(202,1)}
        10:{1,3,4,5,6}:{(4,1),(22,1),(23,1),(29,1),(55,1),(66,1),(76,1),(113,1),(134,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(62,1),(69,1),(119,1),(126,1),(135,1),(136,1),(190,1),(197,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(187,1),(254,1)}
        13:{3,4,5,7}:{(4,1),(26,1),(28,1),(195,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(124,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(263,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(298,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(71,1),(73,1),(120,1),(127,1),(135,1),(138,1),(140,1),(262,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(122,1),(193,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(85,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(41,1),(49,1),(81,1),(96,1),(106,1),(146,1),(170,1),(215,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(97,1),(169,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(45,1),(92,1),(101,1),(232,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(37,1),(45,1),(46,1),(103,1),(155,1),(227,1),(231,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(15,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(47,1),(49,1),(160,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(101,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(283,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(156,1),(163,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(108,1),(158,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(138,1),(209,1)}
        36:{2,3,4,5}:{(59,1),(60,1),(141,1),(189,1),(206,1),(247,1)}
        37:{2,3,5,7}:{(25,1),(61,1),(62,1),(126,1),(189,1),(256,1),(296,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(57,1),(63,1),(73,1),(117,1),(127,1),(138,1),(187,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(65,1),(66,1),(76,1),(181,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(67,1),(131,1),(205,1),(263,1)}
        42:{1,4,5,6}:{(23,1),(66,1),(67,1),(204,1),(298,1)}
        43:{1,2,5,6}:{(24,1),(31,1),(69,1),(70,1),(126,1),(198,1),(298,1)}
        44:{1,2,4,6,7}:{(24,1),(32,1),(69,1),(71,1),(125,1),(135,1),(190,1),(199,1),(262,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(61,1),(261,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(62,1),(72,1),(135,1),(192,1),(195,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(30,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(135,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(70,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(71,1),(77,1),(138,1),(193,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(299,1)}
        56:{2,3,4,5,7}:{(36,1),(83,1),(84,1),(87,1),(144,1),(176,1),(217,1),(239,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(39,1),(85,1),(86,1),(93,1),(144,1)}
        59:{2,3,4,6}:{(36,1),(40,1),(87,1),(88,1),(107,1),(169,1),(216,1),(225,1)}
        60:{1,3,4,5}:{(36,1),(88,1),(89,1),(155,1),(238,1)}
        61:{2,3,6}:{(37,1),(45,1),(92,1),(306,1)}
        62:{2,4,7}:{(37,1),(46,1),(92,1),(226,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(41,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(87,1),(93,1),(96,1),(106,1),(215,1)}
        66:{1,3,5,6}:{(40,1),(42,1),(88,1),(96,1),(97,1)}
        67:{1,4,5,7}:{(41,1),(42,1),(94,1),(96,1),(237,1),(283,1)}
        68:{1,2,4,5,6}:{(42,1),(43,1),(50,1),(97,1),(98,1),(99,1),(101,1),(147,1),(154,1),(161,1),(169,1),(212,1),(232,1),(236,1),(238,1),(269,1),(280,1),(284,1),(285,1),(301,1),(306,1),(313,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(100,1),(162,1),(283,1)}
        70:{1,3,5,6}:{(43,1),(45,1),(52,1),(90,1),(100,1),(101,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(45,1),(53,1),(91,1),(100,1),(227,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(92,1),(101,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(51,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(104,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(100,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(101,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(102,1),(108,1),(110,1),(174,1),(177,1),(229,1),(234,1),(282,1)}
        80:{2,3,5}:{(54,1),(103,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(60,1),(115,1),(116,1),(120,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(64,1),(117,1),(118,1),(127,1),(178,1),(187,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(120,1),(140,1),(205,1),(246,1),(256,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(66,1),(120,1),(121,1),(191,1),(204,1)}
        89:{2,4,5}:{(60,1),(121,1),(122,1)}
        90:{2,3,5,6}:{(61,1),(70,1),(123,1),(124,1),(126,1),(196,1),(198,1),(261,1)}
        91:{2,3,6,7}:{(61,1),(71,1),(123,1),(125,1),(256,1),(261,1)}
        92:{2,4,6}:{(61,1),(62,1),(72,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(187,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(67,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(69,1),(74,1),(118,1),(128,1),(129,1),(198,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(120,1),(127,1),(131,1)}
        97:{2,5,6}:{(66,1),(121,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(75,1),(128,1),(131,1),(133,1),(135,1),(180,1),(190,1),(197,1),(202,1),(205,1),(242,1),(263,1),(265,1),(288,1),(296,1),(309,1)}
        99:{1,3,5,6}:{(68,1),(76,1),(132,1),(133,1),(134,1),(181,1),(191,1),(196,1),(259,1),(261,1),(297,1),(308,1),(314,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(123,1),(135,1)}
       101:{1,4,6}:{(70,1),(78,1),(124,1),(135,1),(136,1)}
       102:{1,3,4,6,7}:{(71,1),(72,1),(79,1),(125,1),(135,1),(137,1),(195,1),(208,1),(258,1),(261,1),(262,1),(297,1)}
       103:{1,3,5}:{(72,1),(80,1),(126,1),(136,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(77,1),(129,1),(138,1),(139,1),(143,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(76,1),(138,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(135,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(136,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(137,1),(142,1),(143,1),(209,1),(263,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(241,1),(284,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(149,1),(174,1),(234,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(89,1),(150,1),(151,1),(156,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(163,1),(213,1)}
       119:{1,2,4,5}:{(89,1),(154,1),(155,1),(226,1),(238,1),(280,1)}
       120:{1,3,4,7}:{(87,1),(88,1),(96,1),(156,1),(227,1),(237,1)}
       121:{2,4,6}:{(88,1),(89,1),(97,1),(156,1),(157,1)}
       122:{2,3,5}:{(89,1),(155,1),(157,1),(158,1)}
       123:{2,3,5,7}:{(90,1),(91,1),(100,1),(160,1),(162,1),(231,1)}
       124:{2,4,6}:{(90,1),(101,1),(159,1),(160,1),(161,1)}
       125:{2,4,6,7}:{(91,1),(92,1),(102,1),(160,1),(162,1),(232,1),(279,1),(306,1)}
       126:{2,5}:{(92,1),(103,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(104,1),(152,1),(163,1),(164,1),(165,1),(232,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(100,1),(105,1),(153,1),(164,1),(165,1),(173,1),(233,1),(235,1),(268,1),(283,1),(305,1)}
       130:{1,2,5,6}:{(97,1),(154,1),(166,1),(167,1),(280,1),(306,1)}
       131:{2,5,7}:{(96,1),(97,1),(156,1),(163,1)}
       132:{2,3,5,6}:{(97,1),(99,1),(157,1),(167,1),(168,1),(169,1),(225,1),(230,1),(280,1),(282,1),(284,1),(306,1)}
       133:{1,3,5,7}:{(98,1),(99,1),(106,1),(164,1),(168,1),(170,1),(215,1),(227,1),(231,1),(312,1)}
       134:{1,3,4,6}:{(99,1),(101,1),(107,1),(159,1),(169,1),(170,1),(171,1),(216,1),(269,1),(299,1)}
       135:{1,4,7}:{(100,1),(101,1),(108,1),(160,1)}
       136:{1,4,5}:{(101,1),(103,1),(109,1),(161,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(110,1),(162,1),(172,1),(173,1),(231,1),(283,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(108,1),(165,1),(174,1),(175,1),(177,1),(300,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(172,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(173,1),(177,1),(241,1),(282,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(298,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(119,1),(182,1),(183,1),(190,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(296,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(120,1),(127,1),(178,1),(184,1),(187,1),(246,1),(250,1),(262,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(122,1),(183,1),(185,1),(186,1),(193,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(123,1),(129,1),(187,1),(188,1),(198,1),(200,1),(244,1),(254,1),(261,1),(263,1),(295,1)}
       154:{1,2,4,6}:{(119,1),(121,1),(130,1),(190,1),(191,1),(204,1),(257,1)}
       155:{1,3,5}:{(119,1),(122,1),(189,1),(191,1),(192,1)}
       156:{2,4,7}:{(120,1),(121,1),(131,1),(193,1)}
       157:{2,3,6}:{(121,1),(122,1),(191,1),(193,1)}
       158:{2,3,4}:{(122,1),(192,1)}
       159:{3,4,6}:{(124,1),(195,1),(196,1),(261,1)}
       160:{2,4,7}:{(123,1),(124,1),(135,1),(195,1)}
       161:{2,4,5}:{(124,1),(126,1),(136,1),(196,1)}
       162:{2,5,7}:{(125,1),(126,1),(137,1),(198,1)}
       163:{2,6,7}:{(127,1),(131,1)}
       164:{1,3,6,7}:{(128,1),(133,1),(138,1),(187,1),(200,1),(261,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(135,1),(139,1),(188,1),(202,1),(208,1),(288,1),(310,1)}
       166:{1,2,5,7}:{(130,1),(131,1),(190,1),(199,1),(203,1),(296,1)}
       167:{1,3,5,6}:{(130,1),(132,1),(191,1),(203,1),(204,1),(259,1),(297,1),(298,1)}
       168:{2,3,5,7}:{(131,1),(132,1),(133,1),(193,1),(200,1),(203,1),(205,1),(256,1),(263,1),(296,1)}
       169:{2,4,6}:{(132,1),(134,1),(204,1),(205,1),(206,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(135,1),(140,1),(195,1),(205,1),(246,1),(288,1),(307,1)}
       171:{1,3,4,5}:{(134,1),(136,1),(141,1),(196,1),(206,1),(247,1),(259,1),(289,1),(308,1)}
       172:{1,4,5,7}:{(135,1),(136,1),(137,1),(142,1),(197,1),(208,1)}
       173:{1,3,5,6}:{(137,1),(143,1),(198,1),(208,1),(261,1),(297,1),(298,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(209,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(283,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(155,1),(217,1),(219,1),(220,1),(227,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(156,1),(163,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(158,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(160,1),(165,1),(223,1),(224,1),(232,1),(270,1),(303,1)}
       189:{2,3,5}:{(155,1),(225,1),(226,1),(280,1)}
       190:{1,2,4,7}:{(154,1),(156,1),(166,1),(227,1),(237,1),(279,1)}
       191:{1,3,6}:{(154,1),(155,1),(157,1),(225,1),(227,1)}
       192:{1,3,4}:{(155,1),(158,1),(226,1)}
       193:{2,3,7}:{(156,1),(157,1),(227,1)}
       194:{2,3,4,6}:{(157,1),(158,1),(159,1),(169,1),(228,1),(229,1),(230,1),(282,1),(299,1)}
       195:{3,4,7}:{(159,1),(160,1),(231,1)}
       196:{3,5}:{(159,1),(161,1)}
       197:{2,4,5,7}:{(160,1),(161,1),(162,1),(172,1),(231,1),(232,1)}
       198:{2,5,6}:{(162,1),(173,1),(232,1),(306,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(168,1),(233,1),(234,1),(282,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(170,1),(174,1),(223,1),(234,1),(235,1),(240,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(224,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(168,1),(227,1),(233,1),(237,1),(283,1)}
       204:{1,4,6}:{(167,1),(169,1),(237,1),(238,1)}
       205:{2,4,7}:{(168,1),(169,1),(170,1),(237,1)}
       206:{2,4,5}:{(169,1),(171,1),(230,1),(238,1),(280,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(172,1),(176,1),(231,1),(235,1),(239,1),(240,1),(272,1),(281,1),(302,1),(312,1)}
       208:{1,4,6}:{(172,1),(173,1),(177,1),(232,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(298,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(189,1),(248,1),(249,1),(256,1),(293,1),(296,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(190,1),(199,1),(242,1),(250,1),(262,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(192,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(193,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(195,1),(246,1),(254,1),(261,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(202,1),(254,1),(255,1),(263,1)}
       225:{2,3,6}:{(189,1),(191,1),(256,1),(257,1)}
       226:{2,4}:{(189,1),(192,1)}
       227:{1,3,7}:{(190,1),(191,1),(193,1),(256,1)}
       228:{1,3,4,6}:{(191,1),(192,1),(194,1),(204,1),(257,1),(258,1),(259,1),(297,1)}
       229:{2,3,4,7}:{(193,1),(194,1),(195,1),(205,1),(258,1),(260,1),(307,1)}
       230:{2,3,5}:{(194,1),(196,1),(206,1),(259,1),(308,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(261,1)}
       232:{2,4,6}:{(197,1),(198,1),(208,1),(261,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(205,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(254,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(208,1),(210,1),(255,1),(264,1),(298,1),(310,1)}
       237:{1,4,7}:{(203,1),(204,1),(205,1)}
       238:{1,4,5}:{(204,1),(206,1),(259,1)}
       239:{2,4,5,7}:{(205,1),(206,1),(207,1),(260,1),(263,1),(265,1),(266,1),(296,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(261,1),(264,1),(266,1),(291,1),(297,1),(310,1),(314,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(283,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(226,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(227,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(229,1),(234,1),(270,1),(275,1),(277,1),(282,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(232,1),(236,1),(278,1),(284,1),(303,1)}
       256:{2,3,7}:{(225,1),(227,1),(279,1)}
       257:{2,4,6}:{(225,1),(226,1),(228,1),(279,1),(280,1),(306,1)}
       258:{1,3,4,7}:{(227,1),(228,1),(229,1),(237,1),(279,1),(281,1)}
       259:{1,3,5}:{(228,1),(230,1),(238,1),(280,1)}
       260:{2,3,5,7}:{(229,1),(230,1),(231,1),(239,1),(281,1),(282,1),(312,1)}
       261:{3,6}:{(231,1),(232,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(240,1),(241,1),(278,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(239,1),(281,1),(283,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(282,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(256,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(258,1),(262,1),(288,1),(292,1),(294,1),(297,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(263,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(261,1),(291,1)}
       279:{2,4,7}:{(256,1),(257,1),(258,1),(296,1)}
       280:{2,5}:{(257,1),(259,1)}
       281:{1,3,5,7}:{(258,1),(259,1),(260,1),(265,1),(296,1),(297,1)}
       282:{2,3,6}:{(260,1),(261,1),(266,1),(297,1),(314,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(279,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(282,1),(284,1),(303,1),(305,1)}
       296:{2,5,7}:{(279,1),(280,1),(281,1),(306,1)}
       297:{1,3,6}:{(281,1),(282,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(297,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2113 :   0:{2,3,4,5}:{(2,1),(3,1),(43,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(68,1),(75,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(65,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(49,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(159,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(49,1),(93,1),(100,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(133,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(72,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(67,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(64,1),(68,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(32,1),(33,1),(110,1),(148,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(33,1),(147,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(26,1),(34,1),(36,1),(40,1),(79,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(32,1),(37,1),(38,1),(76,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(33,1),(35,1),(38,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(40,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(40,1),(41,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(38,1),(41,1),(72,1),(117,1),(123,1)}
        24:{2,3,4}:{(14,1),(43,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(44,1),(45,1)}
        26:{1,3,4,6}:{(13,1),(14,1),(18,1),(42,1),(44,1),(46,1),(49,1),(91,1),(93,1)}
        27:{1,2,5}:{(13,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(43,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(47,1),(49,1),(50,1),(88,1),(93,1)}
        30:{4,5,6,7}:{(51,1),(172,1)}
        31:{3,4,6,7}:{(17,1),(51,1),(52,1)}
        32:{1,4,5,6}:{(16,1),(19,1),(53,1),(54,1),(93,1),(135,1)}
        33:{2,4,5,7}:{(16,1),(17,1),(20,1),(52,1),(54,1),(133,1),(162,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(55,1),(61,1),(105,1)}
        35:{2,3,6,7}:{(20,1),(52,1),(56,1)}
        36:{2,3,5}:{(18,1),(46,1),(57,1)}
        37:{2,5,6}:{(19,1),(22,1),(59,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(23,1),(54,1),(56,1),(59,1),(101,1)}
        39:{2,3,4,5}:{(21,1),(48,1),(57,1),(60,1)}
        40:{2,3,6}:{(21,1),(22,1),(49,1),(61,1)}
        41:{2,4,7}:{(22,1),(23,1),(59,1),(61,1)}
        42:{2,3,4,6}:{(24,1),(26,1),(62,1),(63,1),(65,1),(109,1),(110,1)}
        43:{2,3,5}:{(24,1),(28,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(26,1),(34,1),(62,1),(66,1),(72,1),(117,1)}
        45:{1,2,5,7}:{(25,1),(27,1),(66,1),(67,1)}
        46:{1,3,5}:{(26,1),(27,1),(36,1),(63,1),(68,1)}
        47:{1,2,5,6}:{(27,1),(29,1),(37,1),(67,1),(69,1),(70,1),(112,1)}
        48:{1,3,4,5}:{(28,1),(39,1),(64,1),(68,1),(71,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(40,1),(65,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(41,1),(70,1),(72,1),(113,1),(117,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(73,1),(168,1)}
        52:{2,4,6,7}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        53:{2,4,5,6}:{(32,1),(37,1),(76,1),(77,1),(81,1),(124,1),(154,1)}
        54:{1,4,5,7}:{(32,1),(33,1),(38,1),(74,1),(77,1),(117,1),(152,1)}
        55:{2,3,5,7}:{(34,1),(36,1),(66,1),(78,1),(79,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(74,1),(80,1),(121,1)}
        57:{2,4,5}:{(36,1),(68,1),(75,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(76,1),(79,1),(81,1),(82,1),(124,1)}
        59:{2,5,7}:{(37,1),(38,1),(41,1),(80,1)}
        60:{2,3,4,6}:{(39,1),(40,1),(71,1),(81,1),(83,1),(84,1)}
        61:{2,3,7}:{(40,1),(41,1),(72,1)}
        62:{2,3,4,7}:{(42,1),(44,1),(85,1),(89,1),(133,1)}
        63:{2,3,5}:{(42,1),(46,1),(86,1)}
        64:{2,4,5}:{(43,1),(48,1),(88,1)}
        65:{2,3,6}:{(43,1),(49,1),(88,1),(89,1)}
        66:{1,3,5,7}:{(44,1),(45,1),(46,1),(55,1),(85,1),(90,1),(91,1)}
        67:{1,2,6}:{(45,1),(91,1)}
        68:{1,4,5}:{(46,1),(57,1),(86,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(49,1),(58,1),(87,1),(91,1),(93,1),(94,1),(135,1)}
        70:{1,2,5,7}:{(47,1),(50,1),(59,1),(92,1),(94,1),(134,1)}
        71:{1,3,4,6}:{(48,1),(49,1),(60,1),(88,1),(93,1),(95,1),(96,1),(129,1)}
        72:{1,3,7}:{(49,1),(50,1),(61,1),(89,1)}
        73:{2,5,6,7}:{(51,1),(52,1),(97,1),(162,1)}
        74:{1,4,6,7}:{(52,1),(54,1),(56,1),(97,1),(99,1)}
        75:{3,4,5}:{(57,1),(100,1)}
        76:{3,5,6}:{(53,1),(100,1),(101,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(59,1),(99,1),(101,1),(105,1),(143,1),(165,1)}
        78:{2,4,5,7}:{(55,1),(57,1),(90,1),(98,1),(102,1),(105,1),(143,1)}
        79:{2,3,6}:{(55,1),(91,1),(102,1)}
        80:{2,6,7}:{(56,1),(59,1)}
        81:{2,4,6}:{(57,1),(58,1),(93,1),(100,1),(105,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(61,1),(94,1),(101,1),(103,1),(105,1),(143,1)}
        83:{2,3,5,6}:{(60,1),(95,1),(104,1),(106,1)}
        84:{2,3,4,7}:{(60,1),(61,1),(96,1),(105,1),(106,1)}
        85:{2,3,5,7}:{(62,1),(63,1),(66,1),(108,1),(109,1)}
        86:{2,4,5}:{(63,1),(68,1),(107,1),(110,1)}
        87:{2,3,5,6}:{(63,1),(65,1),(69,1),(109,1),(110,1),(111,1),(112,1),(146,1),(148,1)}
        88:{2,4,6}:{(64,1),(65,1),(71,1),(112,1),(113,1)}
        89:{2,3,7}:{(65,1),(72,1),(113,1)}
        90:{1,4,5,7}:{(66,1),(68,1),(78,1),(108,1),(114,1),(117,1),(152,1)}
        91:{1,3,6}:{(66,1),(67,1),(79,1),(109,1),(114,1)}
        92:{1,2,6,7}:{(67,1),(70,1),(80,1),(115,1),(151,1)}
        93:{1,4,6}:{(68,1),(69,1),(81,1),(110,1),(117,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(72,1),(82,1),(111,1),(115,1),(117,1),(152,1)}
        95:{1,3,5,6}:{(71,1),(83,1),(112,1),(116,1),(118,1),(146,1)}
        96:{1,3,4,7}:{(71,1),(72,1),(84,1),(113,1),(117,1),(118,1),(147,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(119,1),(152,1)}
        98:{3,4,5,7}:{(75,1),(78,1),(120,1),(123,1),(156,1)}
        99:{2,4,6,7}:{(74,1),(77,1),(80,1),(119,1),(121,1),(155,1)}
       100:{3,4,6}:{(75,1),(76,1),(81,1),(123,1)}
       101:{3,5,7}:{(76,1),(77,1),(121,1),(123,1)}
       102:{2,4,6}:{(78,1),(79,1),(114,1),(120,1),(124,1)}
       103:{2,3,6,7}:{(79,1),(80,1),(82,1),(115,1),(121,1),(125,1)}
       104:{2,4,5,6}:{(81,1),(83,1),(116,1),(122,1),(124,1),(126,1)}
       105:{2,4,7}:{(81,1),(82,1),(117,1),(123,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(126,1),(127,1)}
       107:{3,4,5}:{(86,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(130,1),(133,1),(162,1)}
       109:{2,3,6}:{(85,1),(91,1),(130,1)}
       110:{2,4,6}:{(86,1),(87,1),(93,1),(129,1),(133,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(94,1),(131,1),(133,1),(134,1),(161,1),(162,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,6}:{(90,1),(91,1),(102,1),(130,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(92,1),(94,1),(103,1),(131,1),(136,1)}
       116:{1,4,5,6}:{(93,1),(95,1),(104,1),(132,1),(135,1),(137,1)}
       117:{1,4,7}:{(93,1),(94,1),(105,1),(133,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(137,1),(138,1),(161,1)}
       119:{2,5,6,7}:{(97,1),(99,1),(139,1),(143,1)}
       120:{3,4,6}:{(98,1),(102,1),(140,1)}
       121:{3,6,7}:{(99,1),(101,1)}
       122:{3,4,5,6}:{(100,1),(104,1),(140,1),(142,1)}
       123:{3,4,7}:{(100,1),(101,1),(105,1)}
       124:{2,5,6}:{(102,1),(135,1),(140,1),(143,1)}
       125:{2,4,6,7}:{(102,1),(103,1),(105,1),(136,1),(141,1),(143,1)}
       126:{2,4,5,7}:{(104,1),(105,1),(106,1),(137,1),(142,1),(143,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(144,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(145,1),(147,1),(168,1)}
       129:{3,4,6}:{(107,1),(110,1),(146,1),(147,1)}
       130:{2,4,6}:{(108,1),(109,1),(114,1),(145,1),(148,1)}
       131:{2,3,6,7}:{(109,1),(111,1),(115,1),(149,1),(151,1),(169,1)}
       132:{2,4,5,6}:{(110,1),(112,1),(116,1),(146,1),(148,1),(150,1),(167,1)}
       133:{2,4,7}:{(110,1),(111,1),(117,1),(147,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,5,6}:{(114,1),(124,1),(148,1),(152,1)}
       136:{1,4,6,7}:{(114,1),(115,1),(117,1),(125,1),(149,1),(152,1)}
       137:{1,4,5,7}:{(116,1),(117,1),(118,1),(126,1),(150,1),(152,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(153,1),(169,1)}
       139:{3,5,6,7}:{(119,1),(121,1),(155,1),(156,1)}
       140:{3,5,6}:{(120,1),(124,1),(154,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(123,1),(125,1),(155,1),(156,1)}
       142:{3,4,5,7}:{(122,1),(123,1),(126,1),(156,1),(157,1)}
       143:{2,5,7}:{(124,1),(125,1),(152,1),(156,1)}
       144:{2,4,6,7}:{(126,1),(127,1),(153,1),(157,1),(158,1)}
       145:{3,4,6}:{(128,1),(130,1),(159,1)}
       146:{3,5,6}:{(129,1),(132,1),(161,1)}
       147:{3,4,7}:{(129,1),(133,1),(161,1)}
       148:{2,5,6}:{(130,1),(135,1),(159,1),(162,1)}
       149:{2,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(160,1),(162,1)}
       150:{2,4,5,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(162,1),(163,1),(172,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,5,7}:{(135,1),(136,1),(143,1),(162,1)}
       153:{1,4,6,7}:{(137,1),(138,1),(144,1),(163,1),(164,1)}
       154:{4,5,6}:{(140,1),(165,1)}
       155:{4,6,7}:{(139,1),(165,1)}
       156:{3,5,7}:{(140,1),(141,1),(143,1),(165,1)}
       157:{3,4,6,7}:{(142,1),(144,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(166,1)}
       159:{3,5,6}:{(145,1),(148,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(145,1),(147,1),(149,1),(168,1),(169,1),(174,1)}
       161:{3,5,7}:{(146,1),(147,1),(150,1),(169,1)}
       162:{2,5,7}:{(148,1),(149,1),(152,1),(168,1)}
       163:{2,4,6,7}:{(150,1),(151,1),(153,1),(169,1),(170,1),(174,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{4,5,7}:{(154,1),(155,1),(156,1)}
       166:{3,5,6,7}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,5,6}:{(159,1),(172,1)}
       168:{3,5,7}:{(159,1),(160,1),(162,1),(172,1)}
       169:{3,6,7}:{(161,1),(163,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2114 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(163,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(118,1),(155,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(153,1),(170,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(33,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(118,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(99,1),(143,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(140,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(62,1),(68,1),(99,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(140,1)}
        17:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        18:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(77,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(80,1),(81,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(80,1),(126,1),(129,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(123,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(170,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(33,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(86,1),(92,1),(123,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(52,1),(54,1)}
        33:{1,2,5}:{(18,1),(53,1)}
        34:{2,3,4,7}:{(19,1),(52,1),(57,1),(71,1),(105,1)}
        35:{2,3,5}:{(19,1),(53,1),(56,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(62,1)}
        40:{3,5,6}:{(22,1),(62,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(105,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(55,1),(68,1),(69,1),(99,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(31,1),(32,1),(34,1),(72,1),(75,1),(92,1),(123,1)}
        53:{1,3,5}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        54:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        55:{1,2,5,6}:{(33,1),(36,1),(47,1),(76,1),(77,1),(78,1),(132,1)}
        56:{2,4,5}:{(35,1),(39,1),(74,1),(80,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(75,1),(79,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(40,1),(49,1),(76,1),(80,1),(81,1),(82,1),(126,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,5,7}:{(39,1),(79,1),(85,1),(86,1),(130,1)}
        62:{3,4,6}:{(39,1),(40,1),(80,1),(86,1)}
        63:{3,5,7}:{(40,1),(41,1),(86,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(123,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(80,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(96,1),(112,1),(140,1)}
        73:{2,3,5}:{(51,1),(53,1),(95,1)}
        74:{1,4,5}:{(53,1),(56,1),(95,1),(99,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(57,1),(96,1),(98,1),(100,1)}
        76:{1,3,5,6}:{(53,1),(55,1),(58,1),(68,1),(97,1),(99,1),(100,1),(101,1),(143,1)}
        77:{1,2,6}:{(54,1),(100,1)}
        78:{1,2,5,7}:{(55,1),(59,1),(69,1),(101,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(57,1),(61,1),(98,1),(104,1),(105,1),(146,1)}
        80:{2,4,6}:{(56,1),(58,1),(62,1),(99,1),(105,1)}
        81:{2,3,6}:{(57,1),(100,1),(104,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(63,1),(71,1),(101,1),(105,1),(106,1),(146,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(62,1),(103,1),(107,1),(108,1)}
        85:{3,4,6}:{(61,1),(104,1),(108,1)}
        86:{3,4,7}:{(62,1),(63,1),(105,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(99,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(105,1),(114,1),(115,1)}
        95:{2,4,5}:{(73,1),(74,1),(116,1),(118,1)}
        96:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(76,1),(90,1),(118,1),(119,1),(120,1),(132,1),(151,1),(155,1)}
        98:{1,4,5,7}:{(74,1),(75,1),(79,1),(117,1),(122,1),(123,1),(158,1)}
        99:{1,4,6}:{(74,1),(76,1),(80,1),(118,1),(123,1)}
       100:{1,3,6}:{(75,1),(77,1),(81,1),(119,1),(122,1)}
       101:{1,3,5,7}:{(76,1),(78,1),(82,1),(92,1),(120,1),(123,1),(124,1),(158,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(80,1),(84,1),(93,1),(121,1),(125,1),(126,1)}
       104:{2,4,6}:{(79,1),(81,1),(85,1),(122,1),(126,1)}
       105:{2,4,7}:{(80,1),(82,1),(86,1),(123,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(127,1)}
       107:{3,4,5,7}:{(84,1),(86,1),(125,1),(128,1),(130,1)}
       108:{3,5,6}:{(85,1),(126,1),(129,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(87,1),(127,1),(130,1),(131,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(123,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(139,1),(140,1),(166,1)}
       118:{2,4,6}:{(95,1),(97,1),(99,1),(137,1),(140,1)}
       119:{2,3,6}:{(96,1),(100,1),(139,1)}
       120:{2,3,5,7}:{(97,1),(101,1),(112,1),(140,1),(141,1),(149,1),(162,1),(166,1)}
       121:{1,4,5,6}:{(99,1),(103,1),(113,1),(138,1),(142,1),(143,1)}
       122:{1,4,6}:{(98,1),(100,1),(104,1),(139,1),(143,1)}
       123:{1,4,7}:{(99,1),(101,1),(105,1),(140,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(144,1)}
       125:{2,4,5,7}:{(103,1),(105,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,5,6}:{(104,1),(108,1),(143,1),(146,1)}
       127:{2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{4,5,6}:{(108,1),(148,1)}
       130:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(152,1),(153,1),(170,1)}
       137:{3,4,6}:{(116,1),(118,1),(151,1),(153,1)}
       138:{2,4,5,6}:{(118,1),(121,1),(132,1),(151,1),(154,1),(155,1),(169,1)}
       139:{2,4,6}:{(117,1),(119,1),(122,1),(152,1),(155,1)}
       140:{2,4,7}:{(118,1),(120,1),(123,1),(153,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(156,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(123,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,5,6}:{(122,1),(126,1),(155,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(130,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(130,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(137,1),(138,1),(162,1)}
       152:{3,4,6}:{(136,1),(139,1),(163,1)}
       153:{3,4,7}:{(137,1),(140,1),(162,1)}
       154:{2,4,5,7}:{(138,1),(140,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,5,6}:{(139,1),(143,1),(163,1),(166,1)}
       156:{2,4,6,7}:{(139,1),(140,1),(141,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(153,1),(154,1),(168,1)}
       163:{3,5,6}:{(152,1),(155,1),(169,1),(170,1)}
       164:{3,4,6,7}:{(152,1),(153,1),(156,1),(168,1),(170,1),(174,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(170,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{4,5,6}:{(163,1),(173,1)}
       170:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(170,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2115 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2116 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2117 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(40,1),(41,1),(92,1),(160,1),(165,1),(232,1),(239,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(64,1),(128,1),(262,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(29,1),(66,1),(124,1),(134,1),(139,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(38,1),(87,1),(92,1),(93,1),(160,1),(219,1),(226,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(164,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(280,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(47,1),(104,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(97,1),(107,1),(110,1),(159,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(115,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(183,1),(250,1)}
        11:{1,3,4,5,6}:{(5,1),(24,1),(25,1),(31,1),(55,1),(71,1),(78,1),(113,1),(138,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(65,1),(69,1),(129,1),(130,1),(134,1),(139,1),(195,1),(198,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(5,1),(22,1),(28,1),(197,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(257,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(61,1),(70,1),(119,1),(122,1),(124,1),(134,1),(140,1),(256,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(128,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(296,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(131,1),(196,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(83,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(14,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(42,1),(49,1),(81,1),(98,1),(106,1),(145,1),(170,1),(213,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(44,1),(45,1),(102,1),(174,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(46,1),(47,1),(96,1),(104,1),(233,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(40,1),(47,1),(48,1),(105,1),(166,1),(230,1),(232,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(38,1),(49,1),(160,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(279,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(159,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(104,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(107,1),(167,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(59,1),(61,1),(115,1),(119,1),(122,1),(183,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(29,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,5,7}:{(27,1),(64,1),(65,1),(129,1),(203,1),(259,1),(297,1)}
        41:{2,3,4,5}:{(63,1),(66,1),(143,1),(203,1),(210,1),(247,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(68,1),(132,1),(206,1),(257,1)}
        43:{1,2,4,6,7}:{(26,1),(30,1),(69,1),(70,1),(126,1),(134,1),(189,1),(195,1),(256,1)}
        44:{2,3,5,6}:{(25,1),(63,1),(67,1),(71,1),(78,1),(181,1)}
        45:{1,4,5,6}:{(25,1),(68,1),(71,1),(209,1),(296,1)}
        46:{1,2,5,6}:{(26,1),(32,1),(69,1),(73,1),(129,1),(199,1),(296,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(64,1),(262,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(65,1),(74,1),(134,1),(197,1),(204,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(75,1),(134,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(70,1),(76,1),(122,1),(196,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(73,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(37,1),(83,1),(84,1),(87,1),(144,1)}
        58:{2,3,4,5,7}:{(41,1),(85,1),(86,1),(92,1),(144,1),(176,1),(223,1),(239,1),(299,1),(303,1),(312,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(42,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(50,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(41,1),(44,1),(92,1),(94,1),(109,1),(174,1),(216,1),(234,1)}
        64:{2,3,6}:{(40,1),(47,1),(96,1),(306,1)}
        65:{2,4,7}:{(40,1),(48,1),(96,1),(237,1)}
        66:{1,3,4,5}:{(41,1),(94,1),(97,1),(166,1),(241,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(87,1),(92,1),(98,1),(106,1),(213,1)}
        68:{1,4,5,7}:{(42,1),(45,1),(88,1),(98,1),(238,1),(279,1)}
        69:{1,2,5,7}:{(43,1),(46,1),(50,1),(100,1),(161,1),(279,1)}
        70:{1,3,6,7}:{(43,1),(47,1),(51,1),(93,1),(100,1),(230,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(94,1),(98,1),(102,1)}
        72:{1,2,4,5,6}:{(45,1),(46,1),(52,1),(99,1),(102,1),(103,1),(104,1),(147,1),(162,1),(165,1),(174,1),(214,1),(228,1),(233,1),(241,1),(271,1),(280,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(53,1),(95,1),(100,1),(104,1),(105,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(96,1),(104,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(90,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(100,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(101,1),(107,1),(108,1),(157,1),(177,1),(226,1),(231,1),(283,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(104,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(105,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(60,1),(115,1),(116,1),(119,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(66,1),(117,1),(118,1),(124,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(183,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(68,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(69,1),(116,1),(120,1),(121,1),(189,1),(199,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(76,1),(121,1),(122,1),(123,1),(142,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(124,1),(140,1),(206,1),(244,1),(259,1)}
        93:{2,3,6,7}:{(64,1),(70,1),(125,1),(126,1),(259,1),(262,1)}
        94:{1,3,4,6}:{(63,1),(66,1),(71,1),(124,1),(127,1),(200,1),(209,1)}
        95:{2,3,5,6}:{(64,1),(73,1),(125,1),(128,1),(129,1),(199,1),(202,1),(262,1)}
        96:{2,4,6}:{(64,1),(65,1),(74,1),(129,1)}
        97:{2,4,5}:{(66,1),(127,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(119,1),(124,1),(132,1)}
        99:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(75,1),(120,1),(132,1),(133,1),(134,1),(179,1),(192,1),(195,1),(198,1),(206,1),(242,1),(257,1),(265,1),(287,1),(297,1),(308,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(73,1),(76,1),(125,1),(134,1)}
       101:{1,3,4,6,7}:{(70,1),(74,1),(77,1),(126,1),(134,1),(135,1),(197,1),(208,1),(256,1),(260,1),(262,1),(298,1)}
       102:{2,5,6}:{(71,1),(127,1),(132,1)}
       103:{1,3,5,6}:{(72,1),(78,1),(133,1),(137,1),(138,1),(181,1),(200,1),(202,1),(262,1),(264,1),(298,1),(310,1),(314,1)}
       104:{1,4,6}:{(73,1),(79,1),(128,1),(134,1),(139,1)}
       105:{1,3,5}:{(74,1),(80,1),(129,1),(139,1),(202,1)}
       106:{3,5,7}:{(75,1),(78,1),(122,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(134,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(135,1),(141,1),(142,1),(193,1),(257,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(139,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(229,1),(280,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(148,1),(157,1),(226,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(154,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(97,1),(151,1),(153,1),(159,1),(212,1),(268,1),(272,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(149,1),(154,1),(155,1),(156,1),(226,1),(233,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(100,1),(150,1),(155,1),(156,1),(172,1),(225,1),(227,1),(267,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(107,1),(156,1),(157,1),(158,1),(177,1),(299,1),(313,1)}
       124:{1,3,4,7}:{(92,1),(94,1),(98,1),(159,1),(230,1),(238,1)}
       125:{2,3,5,7}:{(93,1),(95,1),(100,1),(160,1),(161,1),(232,1)}
       126:{2,4,6,7}:{(93,1),(96,1),(101,1),(160,1),(161,1),(233,1),(281,1),(306,1)}
       127:{2,4,6}:{(94,1),(97,1),(102,1),(159,1),(163,1)}
       128:{2,4,6}:{(95,1),(104,1),(160,1),(164,1),(165,1)}
       129:{2,5}:{(96,1),(105,1)}
       130:{1,2,4,5}:{(97,1),(162,1),(166,1),(237,1),(241,1),(284,1)}
       131:{2,3,5}:{(97,1),(163,1),(166,1),(167,1)}
       132:{2,5,7}:{(98,1),(102,1),(154,1),(159,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(106,1),(155,1),(169,1),(170,1),(213,1),(230,1),(232,1),(312,1)}
       134:{1,4,7}:{(100,1),(104,1),(107,1),(160,1)}
       135:{1,3,5,7}:{(101,1),(105,1),(108,1),(161,1),(171,1),(172,1),(232,1),(279,1)}
       136:{1,2,5,6}:{(102,1),(162,1),(168,1),(173,1),(284,1),(306,1)}
       137:{2,3,5,6}:{(102,1),(103,1),(163,1),(169,1),(173,1),(174,1),(234,1),(236,1),(280,1),(283,1),(284,1),(306,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(109,1),(164,1),(170,1),(174,1),(175,1),(216,1),(271,1),(302,1)}
       139:{1,4,5}:{(104,1),(105,1),(110,1),(165,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(171,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(172,1),(177,1),(229,1),(280,1),(283,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(296,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(124,1),(178,1),(182,1),(183,1),(244,1),(248,1),(256,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(121,1),(125,1),(183,1),(184,1),(190,1),(199,1),(243,1),(250,1),(257,1),(262,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(130,1),(185,1),(187,1),(195,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(297,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(131,1),(186,1),(187,1),(188,1),(196,1),(254,1)}
       154:{2,6,7}:{(119,1),(132,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(133,1),(183,1),(190,1),(262,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(134,1),(184,1),(192,1),(208,1),(287,1),(309,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{2,4,7}:{(124,1),(127,1),(132,1),(196,1)}
       160:{2,4,7}:{(125,1),(128,1),(134,1),(197,1)}
       161:{2,5,7}:{(126,1),(129,1),(135,1),(199,1)}
       162:{1,2,4,6}:{(127,1),(130,1),(136,1),(195,1),(200,1),(209,1),(263,1)}
       163:{2,3,6}:{(127,1),(131,1),(196,1),(200,1)}
       164:{3,4,6}:{(128,1),(197,1),(202,1),(262,1)}
       165:{2,4,5}:{(128,1),(129,1),(139,1),(202,1)}
       166:{1,3,5}:{(130,1),(131,1),(200,1),(203,1),(204,1)}
       167:{2,3,4}:{(131,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(136,1),(189,1),(195,1),(205,1),(297,1)}
       169:{2,3,5,7}:{(132,1),(133,1),(137,1),(190,1),(196,1),(205,1),(206,1),(257,1),(259,1),(297,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(138,1),(140,1),(197,1),(206,1),(244,1),(287,1),(307,1)}
       171:{1,4,5,7}:{(134,1),(135,1),(139,1),(141,1),(198,1),(208,1)}
       172:{1,3,5,6}:{(135,1),(142,1),(199,1),(208,1),(262,1),(296,1),(298,1)}
       173:{1,3,5,6}:{(136,1),(137,1),(200,1),(205,1),(209,1),(264,1),(296,1),(298,1)}
       174:{2,4,6}:{(137,1),(138,1),(206,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(138,1),(139,1),(143,1),(202,1),(210,1),(247,1),(264,1),(291,1),(310,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(193,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(279,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(159,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(156,1),(160,1),(219,1),(220,1),(233,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(166,1),(221,1),(223,1),(224,1),(230,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(167,1),(222,1),(224,1),(268,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(169,1),(225,1),(226,1),(283,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(170,1),(219,1),(226,1),(227,1),(240,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(220,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{1,2,4,7}:{(159,1),(162,1),(168,1),(230,1),(238,1),(281,1)}
       196:{2,3,7}:{(159,1),(163,1),(230,1)}
       197:{3,4,7}:{(160,1),(164,1),(232,1)}
       198:{2,4,5,7}:{(160,1),(161,1),(165,1),(171,1),(232,1),(233,1)}
       199:{2,5,6}:{(161,1),(172,1),(233,1),(306,1)}
       200:{1,3,6}:{(162,1),(163,1),(166,1),(230,1),(234,1)}
       201:{2,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(231,1),(235,1),(236,1),(283,1),(302,1)}
       202:{3,5}:{(164,1),(165,1)}
       203:{2,3,5}:{(166,1),(234,1),(237,1),(284,1)}
       204:{1,3,4}:{(166,1),(167,1),(237,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(173,1),(225,1),(230,1),(238,1),(279,1)}
       206:{2,4,7}:{(169,1),(170,1),(174,1),(238,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(175,1),(176,1),(227,1),(232,1),(239,1),(240,1),(269,1),(282,1),(300,1),(312,1)}
       208:{1,4,6}:{(171,1),(172,1),(177,1),(233,1)}
       209:{1,4,6}:{(173,1),(174,1),(238,1),(241,1)}
       210:{2,4,5}:{(174,1),(175,1),(236,1),(241,1),(284,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(296,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(195,1),(242,1),(248,1),(256,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(196,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(197,1),(244,1),(250,1),(262,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(192,1),(250,1),(251,1),(257,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(203,1),(252,1),(255,1),(259,1),(295,1),(297,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(204,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(206,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(250,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(208,1),(251,1),(258,1),(296,1),(309,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(259,1)}
       231:{2,3,4,7}:{(196,1),(197,1),(201,1),(206,1),(260,1),(261,1),(307,1)}
       232:{3,5,7}:{(197,1),(198,1),(202,1),(262,1)}
       233:{2,4,6}:{(198,1),(199,1),(208,1),(262,1)}
       234:{2,3,6}:{(200,1),(203,1),(259,1),(263,1)}
       235:{1,3,4,6}:{(200,1),(201,1),(204,1),(209,1),(260,1),(263,1),(264,1),(298,1)}
       236:{2,3,5}:{(201,1),(202,1),(210,1),(264,1),(310,1)}
       237:{2,4}:{(203,1),(204,1)}
       238:{1,4,7}:{(205,1),(206,1),(209,1)}
       239:{2,4,5,7}:{(206,1),(207,1),(210,1),(257,1),(261,1),(265,1),(266,1),(297,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(258,1),(262,1),(266,1),(289,1),(298,1),(309,1),(314,1)}
       241:{1,4,5}:{(209,1),(210,1),(264,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(279,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(230,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(231,1),(268,1),(274,1),(275,1),(283,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(233,1),(276,1),(280,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(237,1),(277,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(240,1),(276,1),(280,1)}
       259:{2,3,7}:{(230,1),(234,1),(281,1)}
       260:{1,3,4,7}:{(230,1),(231,1),(235,1),(238,1),(281,1),(282,1)}
       261:{2,3,5,7}:{(231,1),(232,1),(236,1),(239,1),(282,1),(283,1),(312,1)}
       262:{3,6}:{(232,1),(233,1)}
       263:{2,4,6}:{(234,1),(235,1),(237,1),(281,1),(284,1),(306,1)}
       264:{1,3,5}:{(235,1),(236,1),(241,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(279,1),(282,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(280,1),(283,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(259,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(260,1),(287,1),(292,1),(293,1),(298,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(257,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(262,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(263,1),(297,1)}
       282:{1,3,5,7}:{(260,1),(261,1),(264,1),(265,1),(297,1),(298,1)}
       283:{2,3,6}:{(261,1),(262,1),(266,1),(298,1),(314,1)}
       284:{2,5}:{(263,1),(264,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(281,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(279,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(280,1),(283,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(284,1),(306,1)}
       298:{1,3,6}:{(282,1),(283,1),(285,1),(306,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(296,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2118 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(51,1),(118,1),(132,1),(181,1),(185,1),(203,1),(218,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(29,1),(32,1),(234,1),(235,1),(261,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(39,1),(87,1),(96,1),(163,1),(173,1),(175,1),(231,1),(263,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(82,1),(159,1),(225,1),(230,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(304,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(54,1),(279,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(130,1),(307,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(63,1),(64,1),(130,1),(220,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(54,1),(122,1),(131,1),(276,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(48,1),(116,1),(195,1),(203,1),(218,1),(269,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(268,1),(274,1)}
        11:{1,2,3,6,7}:{(5,1),(23,1),(24,1),(85,1),(143,1),(232,1),(235,1),(321,1),(322,1),(385,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(28,1),(29,1),(30,1),(163,1),(342,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(29,1),(31,1),(32,1),(81,1),(87,1),(88,1),(163,1),(231,1),(234,1),(258,1),(340,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(30,1),(32,1)}
        15:{1,2,3,5,6}:{(5,1),(24,1),(32,1),(33,1),(71,1),(86,1),(90,1),(143,1),(167,1),(260,1),(261,1),(322,1),(341,1),(384,1),(387,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(29,1),(35,1),(36,1),(265,1),(343,1)}
        17:{2,3,4,6}:{(6,1),(30,1),(35,1),(36,1),(95,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(77,1),(85,1),(150,1),(163,1),(173,1),(242,1),(263,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(38,1),(39,1),(40,1),(98,1),(317,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(310,1),(316,1)}
        22:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(159,1)}
        23:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(105,1),(189,1),(275,1),(279,1),(358,1)}
        24:{1,2,3,5,7}:{(11,1),(15,1),(44,1),(45,1),(106,1),(121,1),(212,1),(303,1),(372,1),(404,1)}
        25:{2,3,4,6,7}:{(17,1),(43,1),(46,1),(61,1),(107,1),(109,1),(130,1),(187,1),(192,1),(275,1),(402,1),(403,1),(422,1)}
        26:{2,3,5,6,7}:{(21,1),(47,1),(48,1),(50,1),(114,1),(195,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(267,1),(290,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(203,1),(370,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(54,1),(55,1),(302,1),(372,1)}
        30:{1,3,4,6}:{(12,1),(14,1),(17,1),(52,1),(54,1),(55,1),(122,1)}
        31:{1,2,4,6}:{(13,1),(18,1),(54,1),(57,1),(115,1),(122,1),(276,1),(279,1)}
        32:{1,2,5}:{(14,1),(55,1)}
        33:{1,2,4,6}:{(15,1),(45,1),(58,1),(59,1),(122,1),(210,1),(304,1),(405,1)}
        34:{2,3,4,5,7}:{(16,1),(53,1),(60,1),(63,1),(110,1),(128,1),(130,1),(185,1),(205,1),(294,1)}
        35:{2,3,6}:{(16,1),(18,1),(54,1)}
        36:{2,3,5}:{(17,1),(55,1),(63,1)}
        37:{2,4,6,7}:{(18,1),(19,1),(61,1),(64,1),(130,1),(287,1),(305,1)}
        38:{2,5,6}:{(18,1),(20,1),(64,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(21,1),(64,1),(66,1),(133,1),(353,1)}
        40:{1,4,5,6}:{(20,1),(22,1),(65,1),(66,1),(122,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(48,1),(66,1),(68,1),(203,1)}
        42:{3,4,5,6}:{(22,1),(68,1),(204,1),(268,1)}
        43:{1,3,4,6,7}:{(23,1),(25,1),(30,1),(69,1),(70,1),(73,1),(85,1),(140,1),(143,1),(145,1),(163,1),(233,1),(318,1),(385,1),(386,1),(417,1)}
        44:{1,2,5,7}:{(23,1),(32,1),(70,1),(71,1),(316,1),(387,1)}
        45:{1,2,4,7}:{(24,1),(33,1),(73,1),(163,1),(256,1),(417,1)}
        46:{2,3,5,7}:{(25,1),(36,1),(70,1),(74,1),(75,1),(237,1),(316,1),(416,1)}
        47:{1,3,5,6,7}:{(26,1),(39,1),(76,1),(77,1),(150,1),(155,1),(242,1)}
        48:{2,4,6,7}:{(26,1),(41,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(155,1),(227,1),(245,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(310,1),(331,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(81,1),(82,1),(83,1),(337,1),(395,1)}
        52:{2,3,4,6}:{(28,1),(30,1),(82,1),(83,1),(159,1)}
        53:{1,3,4,5,7}:{(29,1),(34,1),(81,1),(84,1),(87,1),(160,1),(161,1),(163,1),(231,1),(250,1),(252,1),(335,1)}
        54:{1,3,6}:{(29,1),(31,1),(35,1),(82,1)}
        55:{1,3,5}:{(30,1),(32,1),(36,1),(83,1),(87,1)}
        56:{1,2,4,6,7}:{(31,1),(37,1),(85,1),(88,1),(156,1),(163,1),(318,1),(321,1),(340,1)}
        57:{1,2,5,6}:{(31,1),(32,1),(38,1),(86,1),(88,1),(157,1),(317,1)}
        58:{1,2,4,5}:{(32,1),(33,1),(87,1),(90,1),(165,1),(387,1),(418,1)}
        59:{1,3,4,6}:{(33,1),(73,1),(90,1),(91,1),(143,1),(341,1),(342,1)}
        60:{2,3,4,6}:{(34,1),(35,1),(84,1),(93,1),(95,1),(148,1),(230,1)}
        61:{2,3,6,7}:{(35,1),(37,1),(85,1),(94,1),(150,1),(343,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(38,1),(86,1),(94,1),(95,1),(98,1)}
        63:{2,4,5}:{(36,1),(87,1),(95,1),(96,1)}
        64:{2,5,7}:{(37,1),(38,1),(39,1)}
        65:{2,4,5,6}:{(38,1),(40,1),(95,1),(97,1),(98,1)}
        66:{1,4,5,7}:{(39,1),(40,1),(41,1),(77,1),(97,1),(163,1)}
        67:{1,3,4,5,6}:{(40,1),(42,1),(98,1),(99,1),(100,1),(152,1),(164,1),(177,1),(228,1),(244,1),(330,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(250,1),(310,1)}
        69:{2,3,4,6,7}:{(43,1),(52,1),(101,1),(107,1),(116,1),(180,1),(187,1),(203,1),(269,1),(275,1),(361,1),(362,1),(407,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(46,1),(55,1),(101,1),(102,1),(103,1),(353,1),(406,1)}
        71:{1,2,5,6}:{(44,1),(102,1),(105,1),(274,1),(279,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(58,1),(103,1),(105,1),(106,1),(185,1)}
        73:{1,3,4,7}:{(45,1),(59,1),(106,1),(107,1),(372,1)}
        74:{2,3,5,6}:{(46,1),(102,1),(109,1),(187,1),(191,1),(274,1)}
        75:{2,4,5,7}:{(46,1),(63,1),(103,1),(109,1),(110,1),(130,1),(422,1),(423,1)}
        76:{2,5,6,7}:{(47,1),(64,1),(111,1),(287,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(66,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(190,1),(199,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(273,1)}
        81:{2,4,5,7}:{(51,1),(53,1),(115,1),(118,1),(201,1),(203,1),(296,1),(368,1)}
        82:{2,3,6}:{(51,1),(54,1),(115,1)}
        83:{2,3,5}:{(52,1),(55,1),(118,1)}
        84:{1,3,4,6}:{(53,1),(54,1),(60,1),(115,1),(120,1),(122,1),(204,1),(276,1)}
        85:{1,3,6,7}:{(54,1),(56,1),(61,1),(116,1),(121,1),(372,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(57,1),(62,1),(117,1),(121,1),(122,1)}
        87:{1,4,5}:{(55,1),(63,1),(118,1),(122,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(64,1),(121,1),(201,1),(353,1)}
        89:{1,2,4,5,6}:{(57,1),(58,1),(65,1),(105,1),(122,1),(124,1),(125,1),(136,1),(182,1),(202,1),(210,1),(222,1),(274,1),(289,1),(299,1),(301,1),(354,1),(367,1),(398,1),(405,1)}
        90:{1,3,5}:{(58,1),(59,1),(126,1)}
        91:{2,3,4,6}:{(59,1),(107,1),(126,1),(127,1),(187,1),(210,1),(306,1),(307,1),(369,1),(370,1)}
        92:{2,3,4,6,7}:{(60,1),(61,1),(119,1),(128,1),(130,1),(192,1),(216,1),(275,1),(294,1),(365,1)}
        93:{2,3,5,6}:{(60,1),(120,1),(128,1),(129,1),(191,1),(274,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(64,1),(121,1),(130,1),(133,1)}
        95:{2,4,6}:{(62,1),(63,1),(122,1),(130,1),(131,1)}
        96:{3,4,5}:{(63,1),(131,1)}
        97:{2,4,5,7}:{(64,1),(65,1),(66,1),(111,1),(130,1),(133,1)}
        98:{3,5,6}:{(65,1),(131,1),(133,1)}
        99:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(133,1),(135,1),(197,1),(209,1),(221,1),(273,1),(288,1),(363,1)}
       100:{2,4,5,6}:{(67,1),(134,1),(135,1),(136,1),(210,1),(222,1),(274,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(83,1),(137,1),(138,1),(310,1),(316,1),(390,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(74,1),(137,1),(140,1),(143,1),(233,1),(317,1)}
       103:{1,4,5,7}:{(70,1),(75,1),(87,1),(138,1),(140,1),(163,1),(417,1),(418,1)}
       104:{1,2,5,6,7}:{(71,1),(76,1),(88,1),(139,1),(142,1),(155,1),(246,1),(247,1),(316,1),(321,1),(382,1),(383,1),(413,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(140,1),(143,1),(230,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(90,1),(143,1),(144,1)}
       107:{2,3,4,7}:{(73,1),(91,1),(144,1),(145,1),(256,1),(343,1),(395,1)}
       108:{2,3,5,6,7}:{(74,1),(76,1),(94,1),(139,1),(147,1),(150,1),(232,1),(237,1),(316,1),(413,1),(414,1),(424,1)}
       109:{2,4,6}:{(74,1),(75,1),(140,1),(148,1)}
       110:{3,4,5,7}:{(75,1),(96,1),(148,1),(173,1),(237,1),(425,1),(426,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(97,1),(150,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(99,1),(150,1),(151,1),(153,1),(242,1),(245,1),(331,1)}
       113:{3,5,6,7}:{(79,1),(150,1),(153,1),(237,1)}
       114:{2,5,6,7}:{(80,1),(151,1),(155,1),(316,1)}
       115:{2,4,6}:{(81,1),(82,1),(84,1),(157,1)}
       116:{2,3,6,7}:{(82,1),(85,1),(156,1),(158,1),(332,1),(395,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(157,1),(158,1),(159,1),(249,1)}
       118:{2,4,5}:{(83,1),(87,1),(159,1),(160,1)}
       119:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(156,1),(161,1),(163,1),(250,1),(253,1),(318,1),(332,1),(335,1),(393,1)}
       120:{1,3,5,6}:{(84,1),(93,1),(157,1),(161,1),(162,1),(249,1),(317,1)}
       121:{1,3,5,7}:{(85,1),(86,1),(88,1),(94,1),(158,1),(163,1)}
       122:{1,4,6}:{(86,1),(87,1),(95,1),(159,1),(163,1)}
       123:{1,3,4,5}:{(87,1),(90,1),(96,1),(160,1),(164,1),(165,1),(392,1),(418,1),(426,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(97,1),(142,1),(163,1),(166,1),(178,1),(227,1),(248,1),(256,1),(266,1),(316,1),(329,1),(339,1),(340,1),(383,1),(394,1),(411,1),(417,1)}
       125:{1,3,5,6}:{(89,1),(90,1),(98,1),(143,1),(164,1),(166,1),(167,1),(249,1),(330,1),(341,1),(412,1)}
       126:{2,3,5}:{(90,1),(91,1),(165,1),(168,1)}
       127:{1,3,4,6}:{(91,1),(145,1),(168,1),(169,1),(233,1),(257,1),(341,1),(342,1)}
       128:{2,3,5,7}:{(92,1),(93,1),(161,1),(171,1),(237,1),(316,1)}
       129:{2,4,5,6}:{(93,1),(95,1),(162,1),(171,1),(172,1)}
       130:{2,4,7}:{(94,1),(95,1),(163,1),(173,1)}
       131:{3,4,6}:{(95,1),(96,1),(98,1),(173,1)}
       132:{2,3,4,5}:{(96,1),(165,1),(174,1),(175,1),(337,1),(392,1)}
       133:{3,5,7}:{(97,1),(98,1),(150,1),(173,1)}
       134:{2,3,5,6}:{(98,1),(100,1),(174,1),(176,1),(177,1),(330,1)}
       135:{2,4,5,7}:{(99,1),(100,1),(151,1),(176,1),(178,1),(256,1),(266,1),(316,1)}
       136:{1,4,5,6}:{(100,1),(177,1),(178,1),(257,1),(317,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(180,1),(187,1),(268,1),(274,1)}
       138:{2,4,5,7}:{(101,1),(103,1),(118,1),(180,1),(181,1),(203,1),(407,1),(408,1)}
       139:{1,3,5,6,7}:{(102,1),(104,1),(108,1),(121,1),(179,1),(183,1),(186,1),(273,1),(278,1),(353,1),(404,1)}
       140:{1,4,6}:{(102,1),(103,1),(109,1),(180,1)}
       141:{1,3,4,5,7}:{(103,1),(106,1),(110,1),(123,1),(181,1),(184,1),(185,1),(209,1),(273,1)}
       142:{1,2,4,6,7}:{(104,1),(105,1),(111,1),(124,1),(183,1),(186,1),(196,1),(275,1),(287,1),(290,1),(291,1),(371,1),(409,1),(419,1)}
       143:{1,3,6}:{(105,1),(106,1),(187,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(126,1),(185,1),(187,1),(188,1)}
       145:{1,3,4,7}:{(107,1),(127,1),(188,1),(189,1),(300,1),(372,1)}
       146:{2,4,5,6}:{(109,1),(182,1),(190,1),(191,1),(274,1)}
       147:{2,4,6,7}:{(108,1),(109,1),(130,1),(183,1),(190,1),(192,1),(422,1)}
       148:{3,4,6}:{(109,1),(110,1),(191,1)}
       149:{2,3,4,5,7}:{(110,1),(132,1),(185,1),(193,1),(194,1),(218,1),(282,1),(351,1),(422,1),(423,1)}
       150:{3,6,7}:{(111,1),(133,1)}
       151:{2,4,6,7}:{(112,1),(114,1),(135,1),(195,1),(196,1),(287,1)}
       152:{3,4,5,6}:{(191,1),(197,1),(198,1),(421,1)}
       153:{3,4,6,7}:{(113,1),(197,1),(199,1)}
       154:{2,3,5,6,7}:{(113,1),(114,1),(195,1),(199,1),(200,1),(282,1)}
       155:{1,5,6,7}:{(114,1),(196,1),(353,1)}
       156:{2,4,6,7}:{(115,1),(116,1),(119,1),(201,1),(203,1),(368,1),(409,1)}
       157:{2,5,6}:{(115,1),(120,1),(201,1)}
       158:{2,3,5,7}:{(116,1),(117,1),(121,1),(201,1),(203,1),(292,1)}
       159:{2,4,6}:{(117,1),(118,1),(122,1),(203,1),(204,1)}
       160:{3,4,5}:{(118,1),(204,1)}
       161:{1,3,5,7}:{(119,1),(120,1),(128,1),(201,1),(207,1),(292,1),(353,1)}
       162:{1,4,5,6}:{(120,1),(122,1),(129,1),(202,1),(207,1)}
       163:{1,4,7}:{(121,1),(122,1),(130,1),(203,1)}
       164:{1,3,4,6}:{(122,1),(123,1),(125,1),(131,1),(204,1),(209,1),(210,1),(364,1),(405,1),(421,1)}
       165:{2,4,5}:{(123,1),(126,1),(210,1),(211,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(133,1),(186,1),(209,1),(212,1),(292,1),(363,1),(372,1),(420,1)}
       167:{2,3,5,6}:{(125,1),(126,1),(187,1),(210,1),(212,1),(213,1),(222,1),(274,1),(306,1),(367,1),(369,1)}
       168:{1,3,5}:{(126,1),(127,1),(211,1),(214,1)}
       169:{1,2,4,6}:{(127,1),(189,1),(214,1),(215,1),(279,1),(304,1)}
       170:{2,3,5,6,7}:{(128,1),(206,1),(216,1),(281,1),(352,1),(365,1)}
       171:{2,4,5,7}:{(128,1),(129,1),(130,1),(207,1),(216,1),(217,1)}
       172:{3,4,5,6}:{(129,1),(131,1),(191,1),(217,1)}
       173:{3,4,7}:{(130,1),(131,1),(133,1)}
       174:{2,3,4,6}:{(131,1),(132,1),(134,1),(210,1),(218,1),(219,1),(364,1),(369,1)}
       175:{1,3,4,5}:{(132,1),(211,1),(219,1),(220,1),(302,1)}
       176:{2,3,5,7}:{(133,1),(134,1),(135,1),(195,1),(218,1),(221,1),(363,1)}
       177:{1,3,5,6}:{(134,1),(136,1),(219,1),(221,1),(222,1)}
       178:{1,4,5,7}:{(135,1),(136,1),(196,1),(221,1),(300,1),(353,1)}
       179:{2,3,5,6,7}:{(137,1),(139,1),(158,1),(224,1),(232,1),(246,1),(247,1),(310,1),(316,1),(331,1),(332,1),(388,1)}
       180:{2,4,6}:{(137,1),(138,1),(140,1),(225,1)}
       181:{3,4,5,7}:{(138,1),(160,1),(225,1),(250,1),(310,1),(391,1),(392,1)}
       182:{1,4,5,6}:{(140,1),(146,1),(223,1),(227,1),(228,1),(317,1)}
       183:{1,4,6,7}:{(139,1),(140,1),(147,1),(163,1),(224,1),(227,1),(417,1)}
       184:{1,3,4,6}:{(140,1),(141,1),(143,1),(148,1),(225,1),(228,1),(230,1)}
       185:{2,4,5,7}:{(141,1),(144,1),(165,1),(230,1),(231,1),(256,1),(316,1)}
       186:{1,3,6,7}:{(142,1),(143,1),(150,1),(166,1),(232,1),(331,1),(332,1),(424,1)}
       187:{2,3,6}:{(143,1),(144,1),(230,1),(233,1)}
       188:{1,3,5,7}:{(144,1),(145,1),(168,1),(231,1),(233,1),(234,1)}
       189:{1,2,4,7}:{(145,1),(169,1),(234,1),(235,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(227,1),(237,1),(316,1)}
       191:{3,5,6}:{(146,1),(148,1),(237,1)}
       192:{3,4,6,7}:{(147,1),(148,1),(150,1),(173,1),(237,1),(424,1),(425,1)}
       193:{2,3,4,6}:{(148,1),(149,1),(230,1),(238,1),(240,1),(380,1),(415,1)}
       194:{1,3,4,5,7}:{(149,1),(175,1),(231,1),(240,1),(241,1),(263,1),(320,1),(324,1),(391,1),(392,1),(417,1),(418,1)}
       195:{2,3,6,7}:{(150,1),(151,1),(176,1),(242,1),(331,1)}
       196:{1,4,6,7}:{(151,1),(155,1),(178,1),(242,1)}
       197:{3,4,5,7}:{(152,1),(153,1),(237,1),(243,1),(425,1)}
       198:{2,4,5,6}:{(152,1),(238,1),(243,1),(244,1),(415,1)}
       199:{2,4,6,7}:{(153,1),(154,1),(243,1),(245,1)}
       200:{1,3,5,6,7}:{(154,1),(155,1),(242,1),(245,1),(246,1),(324,1),(331,1)}
       201:{2,5,7}:{(156,1),(157,1),(161,1)}
       202:{2,4,5,6}:{(157,1),(159,1),(162,1),(248,1),(249,1)}
       203:{2,4,7}:{(158,1),(159,1),(163,1),(250,1)}
       204:{3,4,6}:{(159,1),(160,1),(249,1),(250,1)}
       205:{2,3,4,5}:{(160,1),(165,1),(251,1),(252,1),(265,1),(426,1)}
       206:{1,3,5,6,7}:{(161,1),(170,1),(247,1),(253,1),(332,1),(382,1),(393,1)}
       207:{1,4,5,7}:{(161,1),(162,1),(163,1),(171,1),(248,1),(253,1)}
       208:{1,3,4,5,6}:{(162,1),(164,1),(172,1),(228,1),(249,1),(254,1),(255,1),(308,1),(334,1),(375,1),(412,1)}
       209:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1),(250,1),(256,1),(391,1),(417,1),(425,1)}
       210:{2,4,6}:{(164,1),(165,1),(167,1),(256,1),(257,1)}
       211:{1,4,5}:{(165,1),(168,1),(257,1)}
       212:{2,3,5,7}:{(166,1),(167,1),(232,1),(256,1),(259,1),(266,1),(316,1),(343,1),(394,1),(395,1)}
       213:{1,3,5,6}:{(167,1),(168,1),(233,1),(257,1),(259,1),(260,1),(317,1),(341,1)}
       214:{1,2,5}:{(168,1),(169,1)}
       215:{1,2,3,6}:{(169,1),(235,1),(261,1),(341,1)}
       216:{2,4,6,7}:{(170,1),(171,1),(253,1),(262,1)}
       217:{3,4,5,7}:{(171,1),(172,1),(173,1),(237,1),(262,1)}
       218:{2,3,4,7}:{(173,1),(174,1),(176,1),(256,1),(263,1),(391,1),(395,1)}
       219:{1,3,4,6}:{(174,1),(175,1),(177,1),(257,1),(263,1),(264,1),(341,1)}
       220:{2,4,5}:{(175,1),(264,1),(265,1)}
       221:{1,3,5,7}:{(176,1),(177,1),(178,1),(242,1),(263,1),(266,1)}
       222:{2,5,6}:{(177,1),(264,1),(266,1)}
       223:{2,4,5,6}:{(180,1),(182,1),(267,1),(268,1),(274,1)}
       224:{2,4,6,7}:{(179,1),(180,1),(183,1),(203,1),(267,1),(269,1),(407,1)}
       225:{3,4,6}:{(180,1),(181,1),(268,1)}
       226:{2,3,4,5,7}:{(181,1),(185,1),(205,1),(270,1),(271,1),(286,1),(294,1),(347,1),(407,1),(408,1)}
       227:{1,4,5,7}:{(182,1),(183,1),(190,1),(267,1),(273,1),(353,1)}
       228:{1,3,5,6}:{(182,1),(184,1),(191,1),(268,1),(273,1),(274,1)}
       229:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(192,1),(209,1),(269,1),(273,1),(275,1)}
       230:{2,4,6}:{(184,1),(185,1),(187,1),(274,1),(276,1)}
       231:{1,4,5,7}:{(185,1),(188,1),(211,1),(276,1),(300,1),(353,1)}
       232:{2,3,6,7}:{(186,1),(187,1),(212,1),(275,1),(278,1),(287,1),(409,1)}
       233:{1,3,6}:{(187,1),(188,1),(276,1),(279,1)}
       234:{1,2,5,7}:{(188,1),(189,1),(214,1),(279,1)}
       235:{1,2,3,7}:{(189,1),(215,1),(372,1)}
       236:{2,4,5,6,7}:{(190,1),(216,1),(272,1),(281,1),(352,1),(419,1)}
       237:{3,5,7}:{(190,1),(191,1),(192,1)}
       238:{2,3,5,6}:{(191,1),(193,1),(198,1),(274,1),(282,1),(283,1)}
       239:{2,3,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(218,1),(275,1),(282,1),(284,1),(402,1),(422,1)}
       240:{1,3,4,6}:{(193,1),(194,1),(276,1),(283,1),(285,1),(356,1),(364,1),(405,1)}
       241:{2,4,5,7}:{(194,1),(220,1),(285,1),(286,1),(305,1),(359,1),(407,1),(408,1)}
       242:{1,3,6,7}:{(195,1),(196,1),(221,1),(287,1)}
       243:{2,4,5,7}:{(197,1),(198,1),(199,1),(282,1),(288,1),(422,1)}
       244:{1,4,5,6}:{(198,1),(283,1),(288,1),(289,1),(405,1)}
       245:{1,4,6,7}:{(199,1),(200,1),(288,1),(290,1)}
       246:{2,5,6,7}:{(200,1),(287,1),(290,1),(359,1)}
       247:{2,5,6,7}:{(201,1),(206,1),(291,1),(409,1)}
       248:{2,4,5,7}:{(201,1),(202,1),(203,1),(207,1),(291,1),(292,1)}
       249:{3,5,6}:{(202,1),(204,1),(292,1)}
       250:{3,4,7}:{(203,1),(204,1),(292,1)}
       251:{2,3,4,6}:{(204,1),(205,1),(210,1),(293,1),(294,1),(295,1),(306,1),(421,1)}
       252:{1,3,4,5}:{(205,1),(211,1),(295,1),(296,1),(302,1)}
       253:{1,4,6,7}:{(206,1),(207,1),(216,1),(291,1)}
       254:{1,3,4,5,7}:{(207,1),(208,1),(209,1),(217,1),(273,1),(292,1),(297,1),(298,1),(344,1),(366,1),(397,1),(420,1)}
       255:{2,4,5,6}:{(208,1),(210,1),(274,1),(293,1),(298,1),(299,1),(367,1)}
       256:{2,4,7}:{(209,1),(210,1),(212,1),(300,1)}
       257:{1,4,6}:{(210,1),(211,1),(213,1),(300,1)}
       258:{1,2,4,5}:{(211,1),(214,1),(220,1),(296,1),(301,1),(302,1),(304,1)}
       259:{1,3,5,7}:{(212,1),(213,1),(278,1),(300,1),(303,1),(353,1),(372,1)}
       260:{1,2,5,6}:{(213,1),(214,1),(222,1),(279,1),(301,1),(303,1),(367,1)}
       261:{1,2,3,5}:{(214,1),(215,1),(302,1),(304,1)}
       262:{3,4,6,7}:{(216,1),(217,1),(281,1)}
       263:{1,3,4,7}:{(218,1),(219,1),(221,1),(300,1),(305,1),(372,1)}
       264:{2,4,6}:{(219,1),(220,1),(222,1),(305,1),(306,1)}
       265:{2,3,5}:{(220,1),(302,1),(306,1),(307,1)}
       266:{2,5,7}:{(221,1),(222,1),(287,1),(305,1)}
       267:{2,4,5,7}:{(223,1),(224,1),(227,1),(310,1),(316,1)}
       268:{3,5,6}:{(223,1),(225,1),(310,1)}
       269:{3,4,6,7}:{(224,1),(225,1),(250,1),(310,1),(331,1),(332,1),(391,1)}
       270:{2,3,4,6}:{(225,1),(226,1),(230,1),(311,1),(313,1),(327,1),(389,1)}
       271:{1,3,4,5,7}:{(226,1),(231,1),(252,1),(313,1),(314,1),(320,1),(335,1),(377,1),(417,1),(418,1),(425,1),(426,1)}
       272:{1,4,5,6,7}:{(227,1),(236,1),(253,1),(309,1),(315,1),(382,1),(410,1)}
       273:{1,3,5,7}:{(227,1),(228,1),(229,1),(237,1),(310,1),(316,1)}
       274:{2,5,6}:{(228,1),(230,1),(316,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(232,1),(256,1),(316,1),(318,1)}
       276:{1,4,6}:{(230,1),(231,1),(233,1),(317,1)}
       277:{1,2,4,5,7}:{(231,1),(234,1),(241,1),(258,1),(314,1),(319,1),(320,1),(323,1),(340,1),(383,1),(387,1),(417,1),(418,1)}
       278:{1,3,6,7}:{(232,1),(233,1),(259,1),(318,1),(321,1)}
       279:{1,2,6}:{(233,1),(234,1)}
       280:{1,2,3,5,7}:{(234,1),(235,1),(261,1),(320,1),(322,1),(323,1),(387,1)}
       281:{3,5,6,7}:{(236,1),(237,1),(262,1),(424,1)}
       282:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(316,1),(324,1)}
       283:{1,3,5,6}:{(238,1),(240,1),(244,1),(317,1),(324,1),(325,1),(330,1)}
       284:{1,3,4,6,7}:{(239,1),(240,1),(242,1),(245,1),(263,1),(318,1),(324,1),(326,1),(331,1),(385,1),(391,1),(417,1)}
       285:{2,4,6}:{(240,1),(241,1),(325,1),(327,1)}
       286:{2,3,5,7}:{(241,1),(265,1),(320,1),(327,1),(328,1),(343,1),(390,1)}
       287:{2,6,7}:{(242,1),(266,1)}
       288:{1,4,5,7}:{(243,1),(244,1),(245,1),(324,1),(329,1),(417,1)}
       289:{2,4,5,6}:{(244,1),(325,1),(329,1),(330,1),(389,1)}
       290:{2,4,6,7}:{(245,1),(246,1),(329,1),(331,1)}
       291:{2,4,6,7}:{(247,1),(248,1),(253,1),(332,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1),(332,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(255,1),(333,1),(334,1),(412,1)}
       294:{2,3,4,7}:{(250,1),(251,1),(256,1),(333,1),(335,1),(343,1),(425,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(257,1),(334,1),(335,1),(336,1),(341,1)}
       296:{2,4,5}:{(252,1),(336,1),(337,1)}
       297:{1,3,4,6,7}:{(253,1),(254,1),(262,1),(315,1),(332,1),(338,1),(373,1),(393,1),(410,1),(424,1)}
       298:{2,4,5,7}:{(254,1),(255,1),(256,1),(316,1),(333,1),(338,1),(339,1),(394,1)}
       299:{1,4,5,6}:{(255,1),(257,1),(317,1),(334,1),(339,1)}
       300:{1,4,7}:{(256,1),(257,1),(259,1)}
       301:{1,2,4,6}:{(257,1),(258,1),(260,1),(264,1),(336,1),(340,1),(341,1)}
       302:{1,3,5}:{(258,1),(265,1),(337,1),(341,1),(342,1)}
       303:{1,2,5,7}:{(259,1),(260,1),(266,1),(321,1),(340,1),(394,1)}
       304:{1,2,4}:{(261,1),(342,1)}
       305:{2,4,7}:{(263,1),(264,1),(266,1),(343,1)}
       306:{2,3,6}:{(264,1),(265,1),(341,1),(343,1)}
       307:{2,3,4}:{(265,1),(342,1)}
       308:{3,4,5,6}:{(268,1),(344,1),(345,1),(364,1)}
       309:{2,4,5,6,7}:{(267,1),(272,1),(291,1),(346,1),(352,1),(396,1)}
       310:{3,5,7}:{(267,1),(268,1),(269,1)}
       311:{2,3,5,6}:{(268,1),(270,1),(274,1),(345,1),(347,1),(348,1)}
       312:{2,3,4,6,7}:{(269,1),(270,1),(275,1),(294,1),(347,1),(349,1),(361,1),(365,1),(396,1),(407,1)}
       313:{1,3,4,6}:{(270,1),(271,1),(276,1),(348,1),(350,1),(356,1),(405,1),(421,1)}
       314:{2,4,5,7}:{(271,1),(296,1),(350,1),(351,1),(368,1),(400,1),(422,1),(423,1)}
       315:{1,3,5,6,7}:{(272,1),(273,1),(281,1),(297,1),(346,1),(352,1)}
       316:{2,5,7}:{(273,1),(274,1),(275,1),(353,1)}
       317:{1,5,6}:{(274,1),(276,1),(353,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(278,1),(300,1),(353,1)}
       319:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(350,1),(354,1),(356,1),(405,1)}
       320:{1,3,5,7}:{(277,1),(286,1),(302,1),(351,1),(356,1),(357,1),(372,1),(406,1)}
       321:{1,2,6,7}:{(278,1),(279,1),(287,1),(303,1),(409,1)}
       322:{1,2,3,6}:{(279,1),(280,1),(356,1),(358,1)}
       323:{1,2,4,7}:{(280,1),(304,1),(357,1),(358,1)}
       324:{1,3,5,7}:{(282,1),(283,1),(284,1),(288,1),(353,1),(359,1),(363,1)}
       325:{2,5,6}:{(283,1),(285,1),(359,1)}
       326:{2,4,6,7}:{(284,1),(285,1),(287,1),(305,1),(359,1),(361,1),(407,1)}
       327:{2,3,6}:{(285,1),(286,1),(356,1)}
       328:{2,3,4,7}:{(286,1),(307,1),(357,1),(362,1),(407,1)}
       329:{2,4,5,7}:{(288,1),(289,1),(290,1),(359,1),(363,1),(407,1)}
       330:{3,5,6}:{(289,1),(363,1),(364,1)}
       331:{3,6,7}:{(290,1),(363,1)}
       332:{3,6,7}:{(291,1),(292,1)}
       333:{2,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(365,1),(366,1),(420,1)}
       334:{1,3,5,6}:{(293,1),(295,1),(299,1),(366,1),(367,1)}
       335:{1,3,4,7}:{(294,1),(295,1),(300,1),(366,1),(368,1),(372,1)}
       336:{2,4,6}:{(295,1),(296,1),(367,1),(368,1),(369,1)}
       337:{2,3,5}:{(296,1),(302,1),(369,1),(370,1)}
       338:{2,4,6,7}:{(297,1),(298,1),(352,1),(365,1),(371,1),(409,1)}
       339:{1,4,5,7}:{(298,1),(299,1),(300,1),(353,1),(366,1),(371,1)}
       340:{1,2,4,7}:{(300,1),(301,1),(303,1),(305,1),(368,1),(372,1)}
       341:{1,3,6}:{(301,1),(302,1),(306,1),(369,1),(372,1)}
       342:{1,3,4}:{(302,1),(304,1),(307,1),(370,1)}
       343:{2,3,7}:{(305,1),(306,1),(372,1)}
       344:{3,4,5,7}:{(308,1),(310,1),(373,1),(374,1),(391,1)}
       345:{2,4,5,6}:{(308,1),(311,1),(374,1),(375,1),(389,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(332,1),(373,1)}
       347:{2,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(374,1),(377,1)}
       348:{1,3,5,6}:{(311,1),(313,1),(317,1),(375,1),(377,1),(378,1),(412,1)}
       349:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(335,1),(377,1),(379,1),(385,1),(393,1),(410,1),(417,1),(424,1),(425,1)}
       350:{2,4,6}:{(313,1),(314,1),(378,1),(380,1)}
       351:{2,3,5,7}:{(314,1),(320,1),(337,1),(380,1),(381,1),(395,1),(416,1)}
       352:{2,5,6,7}:{(315,1),(316,1),(338,1),(382,1)}
       353:{1,5,7}:{(316,1),(317,1),(318,1)}
       354:{1,2,5,6}:{(317,1),(319,1),(325,1),(378,1),(383,1),(384,1),(387,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(321,1),(326,1),(340,1),(379,1),(383,1),(385,1),(417,1)}
       356:{1,3,6}:{(319,1),(320,1),(327,1),(380,1)}
       357:{1,3,4,7}:{(320,1),(323,1),(328,1),(342,1),(381,1),(386,1),(417,1)}
       358:{1,2,4,6}:{(322,1),(323,1),(386,1),(387,1)}
       359:{2,5,7}:{(324,1),(325,1),(326,1)}
       360:{2,3,5,6}:{(325,1),(327,1),(330,1),(384,1),(388,1),(389,1),(390,1)}
       361:{2,3,6,7}:{(326,1),(327,1),(331,1),(343,1),(385,1),(388,1)}
       362:{2,3,4,6}:{(327,1),(328,1),(386,1),(389,1),(390,1)}
       363:{3,5,7}:{(329,1),(330,1),(331,1),(391,1)}
       364:{3,4,6}:{(330,1),(389,1),(391,1),(392,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(338,1),(393,1),(424,1)}
       366:{1,3,5,7}:{(333,1),(334,1),(335,1),(339,1),(393,1),(394,1)}
       367:{2,5,6}:{(334,1),(336,1),(394,1)}
       368:{2,4,7}:{(335,1),(336,1),(394,1),(395,1)}
       369:{2,3,6}:{(336,1),(337,1),(341,1),(395,1)}
       370:{2,3,4}:{(337,1),(342,1)}
       371:{1,4,6,7}:{(338,1),(339,1),(382,1),(393,1)}
       372:{1,3,7}:{(340,1),(341,1),(343,1),(395,1)}
       373:{3,4,6,7}:{(344,1),(346,1),(396,1)}
       374:{2,4,5,7}:{(344,1),(345,1),(347,1),(396,1),(397,1),(407,1)}
       375:{1,4,5,6}:{(345,1),(348,1),(397,1),(398,1),(405,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(352,1),(365,1),(396,1),(399,1)}
       377:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(397,1),(400,1),(420,1)}
       378:{2,5,6}:{(348,1),(350,1),(400,1)}
       379:{2,4,6,7}:{(349,1),(350,1),(368,1),(400,1),(402,1),(409,1),(422,1)}
       380:{2,3,6}:{(350,1),(351,1),(356,1)}
       381:{2,3,4,7}:{(351,1),(357,1),(370,1),(403,1),(422,1)}
       382:{1,5,6,7}:{(352,1),(353,1),(371,1)}
       383:{1,2,5,7}:{(353,1),(354,1),(355,1),(359,1),(400,1),(404,1)}
       384:{1,3,5,6}:{(354,1),(356,1),(360,1),(401,1),(404,1),(405,1),(406,1)}
       385:{1,3,6,7}:{(355,1),(356,1),(361,1),(372,1),(402,1),(404,1)}
       386:{1,3,4,6}:{(356,1),(357,1),(358,1),(362,1),(403,1),(405,1),(406,1)}
       387:{1,2,5}:{(358,1),(406,1)}
       388:{2,3,5,7}:{(359,1),(360,1),(361,1),(363,1),(404,1),(407,1)}
       389:{2,4,6}:{(360,1),(364,1),(405,1),(407,1),(408,1)}
       390:{2,3,5}:{(362,1),(406,1),(408,1)}
       391:{3,4,7}:{(363,1),(364,1),(407,1)}
       392:{3,4,5}:{(364,1),(408,1)}
       393:{1,3,6,7}:{(365,1),(366,1),(371,1),(409,1)}
       394:{2,5,7}:{(366,1),(367,1),(368,1),(409,1)}
       395:{2,3,7}:{(368,1),(369,1),(372,1)}
       396:{2,4,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       397:{1,4,5,7}:{(374,1),(375,1),(377,1),(410,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(375,1),(378,1),(411,1),(412,1),(415,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(382,1),(393,1),(410,1),(413,1),(424,1)}
       400:{2,5,7}:{(377,1),(378,1),(379,1)}
       401:{2,3,5,6}:{(378,1),(380,1),(384,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(379,1),(380,1),(385,1),(395,1),(414,1),(424,1)}
       403:{2,3,4,6}:{(380,1),(381,1),(386,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(383,1),(384,1),(385,1),(388,1),(414,1),(417,1)}
       405:{1,4,6}:{(384,1),(389,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(386,1),(387,1),(390,1),(416,1),(418,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1)}
       408:{2,4,5}:{(389,1),(390,1),(392,1),(418,1)}
       409:{2,6,7}:{(393,1),(394,1)}
       410:{1,4,6,7}:{(396,1),(397,1),(399,1),(419,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(400,1),(419,1),(420,1),(422,1)}
       412:{3,5,6}:{(398,1),(420,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(409,1),(419,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(420,1),(422,1)}
       415:{2,4,6}:{(401,1),(405,1),(421,1),(422,1),(423,1)}
       416:{2,3,5}:{(403,1),(406,1),(423,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(422,1)}
       418:{1,4,5}:{(405,1),(406,1),(408,1),(423,1)}
       419:{2,4,6,7}:{(410,1),(411,1),(413,1),(424,1)}
       420:{3,5,7}:{(411,1),(412,1),(424,1),(425,1)}
       421:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       422:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2119 :   0:{2,4,5,6,7}:{(1,1),(2,1),(12,1),(17,1),(94,1),(169,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(26,1),(33,1),(64,1),(142,1)}
         2:{3,5,6,7}:{(0,1),(7,1),(128,1),(209,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(12,1),(39,1),(56,1),(118,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(183,1)}
         5:{3,4,5,6}:{(13,1),(14,1),(246,1),(259,1)}
         6:{2,3,4,5,7}:{(15,1),(16,1),(41,1),(48,1),(96,1),(111,1),(240,1),(255,1),(260,1),(261,1),(301,1)}
         7:{3,4,6,7}:{(2,1),(13,1),(17,1)}
         8:{2,3,5,6,7}:{(2,1),(12,1),(17,1),(18,1),(45,1),(48,1)}
         9:{3,5,6,7}:{(3,1),(21,1),(84,1),(155,1)}
        10:{1,3,4,5,6}:{(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(69,1),(78,1),(122,1),(138,1),(224,1)}
        11:{1,3,4,6,7}:{(4,1),(7,1),(21,1),(23,1),(25,1),(33,1),(64,1),(72,1),(84,1),(128,1)}
        12:{2,5,6,7}:{(4,1),(25,1),(26,1),(223,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(28,1),(209,1),(284,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(226,1)}
        15:{2,3,4,6}:{(6,1),(27,1),(31,1),(149,1),(226,1),(271,1),(282,1),(310,1)}
        16:{1,3,4,5,7}:{(6,1),(31,1),(32,1),(67,1),(75,1),(80,1),(131,1),(147,1),(148,1),(227,1),(228,1),(281,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(33,1)}
        18:{1,3,5,6,7}:{(8,1),(26,1),(33,1),(34,1),(72,1),(75,1),(84,1)}
        19:{3,4,5,6}:{(35,1),(36,1),(196,1),(289,1)}
        20:{2,3,4,5,7}:{(37,1),(38,1),(41,1),(86,1),(96,1),(162,1),(190,1),(255,1),(290,1),(291,1),(311,1)}
        21:{3,4,6,7}:{(9,1),(35,1),(39,1)}
        22:{2,3,5,6,7}:{(9,1),(12,1),(39,1),(40,1),(45,1),(86,1)}
        23:{1,3,4,5,7}:{(10,1),(11,1),(13,1),(35,1),(43,1),(50,1),(88,1),(99,1),(109,1),(160,1),(179,1),(183,1)}
        24:{2,4,5,6}:{(10,1),(42,1),(43,1),(44,1),(100,1),(178,1),(258,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(43,1),(45,1),(46,1),(103,1)}
        26:{1,5,6,7}:{(12,1),(46,1),(257,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(48,1),(49,1),(246,1),(258,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(17,1),(48,1),(50,1),(260,1)}
        29:{1,4,5,6}:{(14,1),(49,1),(50,1),(51,1),(187,1)}
        30:{2,3,4,6,7}:{(15,1),(17,1),(45,1),(48,1),(53,1),(96,1),(168,1),(182,1),(191,1),(260,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(49,1),(54,1),(110,1),(113,1),(187,1),(300,1)}
        32:{2,4,5,7}:{(16,1),(54,1),(55,1),(98,1),(107,1),(172,1),(188,1),(189,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(50,1),(56,1)}
        34:{2,5,6,7}:{(18,1),(56,1),(103,1),(107,1)}
        35:{3,4,5,7}:{(19,1),(21,1),(59,1),(155,1),(303,1)}
        36:{2,4,5,6}:{(19,1),(58,1),(59,1),(60,1),(267,1)}
        37:{2,3,4,6}:{(20,1),(58,1),(62,1),(203,1),(230,1),(267,1),(282,1),(314,1)}
        38:{1,3,4,5,7}:{(20,1),(62,1),(63,1),(67,1),(119,1),(124,1),(131,1),(201,1),(202,1),(268,1),(269,1),(281,1)}
        39:{2,4,6,7}:{(21,1),(22,1),(59,1),(64,1)}
        40:{1,3,5,6,7}:{(22,1),(26,1),(64,1),(65,1),(72,1),(119,1),(128,1)}
        41:{2,3,4,5}:{(66,1),(67,1),(148,1),(202,1),(211,1),(220,1)}
        42:{2,3,5,6}:{(24,1),(66,1),(68,1),(69,1),(78,1),(122,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(25,1),(68,1),(70,1),(135,1),(219,1),(223,1)}
        44:{1,4,5,6}:{(24,1),(69,1),(70,1),(218,1),(283,1)}
        45:{2,3,6,7}:{(25,1),(68,1),(72,1),(84,1),(128,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(70,1),(72,1)}
        47:{1,2,5,6,7}:{(26,1),(34,1),(65,1),(73,1),(74,1),(139,1),(143,1),(197,1),(223,1),(283,1),(288,1),(307,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(30,1),(75,1),(209,1),(223,1)}
        49:{1,3,5,6}:{(27,1),(29,1),(31,1),(75,1),(76,1),(78,1),(283,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(33,1),(75,1),(77,1),(227,1)}
        51:{2,4,5,6}:{(29,1),(76,1),(77,1),(78,1),(146,1)}
        52:{1,2,4,5,7}:{(32,1),(79,1),(80,1),(130,1),(143,1),(150,1),(212,1),(227,1),(228,1),(232,1),(281,1),(286,1),(308,1)}
        53:{1,3,4,6,7}:{(30,1),(31,1),(33,1),(72,1),(75,1),(81,1),(84,1),(131,1),(147,1),(151,1),(222,1),(227,1)}
        54:{2,4,6}:{(31,1),(32,1),(76,1),(82,1)}
        55:{2,3,5,7}:{(32,1),(80,1),(82,1),(83,1),(133,1),(154,1),(215,1)}
        56:{2,4,6,7}:{(33,1),(34,1),(77,1),(84,1)}
        57:{2,3,5,6,7}:{(34,1),(74,1),(84,1),(85,1),(140,1),(145,1),(155,1),(223,1),(234,1),(266,1),(307,1),(314,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(86,1),(87,1),(196,1),(258,1)}
        59:{2,4,5,7}:{(35,1),(36,1),(39,1),(86,1),(88,1),(290,1)}
        60:{1,4,5,6}:{(36,1),(87,1),(88,1),(89,1),(237,1)}
        61:{2,3,4,6,7}:{(37,1),(39,1),(45,1),(86,1),(91,1),(96,1),(117,1),(182,1),(241,1),(290,1)}
        62:{1,3,4,6}:{(37,1),(38,1),(87,1),(92,1),(161,1),(164,1),(237,1),(300,1)}
        63:{2,4,5,7}:{(38,1),(92,1),(93,1),(98,1),(158,1),(172,1),(238,1),(239,1)}
        64:{1,4,6,7}:{(39,1),(40,1),(88,1),(94,1)}
        65:{2,5,6,7}:{(40,1),(94,1),(103,1),(158,1)}
        66:{2,3,4,6}:{(41,1),(42,1),(96,1),(97,1),(110,1),(161,1),(178,1),(247,1)}
        67:{1,3,4,5}:{(41,1),(97,1),(98,1),(171,1),(254,1)}
        68:{2,3,5,7}:{(42,1),(43,1),(45,1),(96,1),(99,1),(109,1),(160,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(97,1),(99,1),(100,1)}
        70:{1,4,5,7}:{(43,1),(44,1),(46,1),(99,1),(253,1),(257,1)}
        71:{1,2,4,5,6}:{(44,1),(51,1),(89,1),(100,1),(101,1),(102,1),(106,1),(157,1),(170,1),(178,1),(184,1),(187,1),(237,1),(254,1),(258,1),(261,1),(291,1),(297,1),(300,1),(302,1),(312,1),(313,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(99,1),(103,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(94,1),(101,1),(103,1),(104,1),(105,1),(182,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,5,6,7}:{(47,1),(57,1),(95,1),(104,1),(105,1),(181,1),(183,1),(186,1),(236,1),(257,1),(265,1),(295,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(53,1),(107,1),(109,1),(257,1)}
        76:{2,5,6}:{(49,1),(54,1),(107,1)}
        77:{2,4,5,7}:{(50,1),(51,1),(56,1),(107,1),(109,1),(188,1)}
        78:{3,5,6}:{(51,1),(109,1),(110,1)}
        79:{1,2,4,6}:{(52,1),(54,1),(106,1),(113,1),(187,1),(192,1),(300,1),(302,1),(313,1)}
        80:{1,3,5,7}:{(52,1),(55,1),(111,1),(113,1),(114,1),(171,1),(194,1),(249,1),(301,1)}
        81:{2,4,6,7}:{(53,1),(54,1),(103,1),(107,1),(115,1),(172,1),(188,1)}
        82:{2,3,6}:{(54,1),(55,1),(113,1)}
        83:{2,3,4,7}:{(55,1),(114,1),(116,1),(174,1),(188,1)}
        84:{3,6,7}:{(56,1),(109,1)}
        85:{2,4,6,7}:{(57,1),(105,1),(117,1),(118,1),(188,1),(263,1),(290,1),(312,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(119,1),(155,1),(223,1)}
        87:{1,3,5,6}:{(58,1),(60,1),(62,1),(119,1),(120,1),(122,1),(283,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(64,1),(119,1),(121,1),(268,1)}
        89:{2,4,5,6}:{(60,1),(120,1),(121,1),(122,1),(200,1)}
        90:{1,2,4,5,7}:{(63,1),(123,1),(124,1),(130,1),(197,1),(204,1),(212,1),(268,1),(269,1),(273,1),(281,1),(305,1),(308,1)}
        91:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(72,1),(119,1),(125,1),(128,1),(131,1),(201,1),(205,1),(222,1),(268,1)}
        92:{2,4,6}:{(62,1),(63,1),(120,1),(126,1)}
        93:{2,3,5,7}:{(63,1),(124,1),(126,1),(127,1),(133,1),(208,1),(215,1)}
        94:{2,4,6,7}:{(64,1),(65,1),(121,1),(128,1)}
        95:{2,3,5,6,7}:{(65,1),(74,1),(128,1),(129,1),(140,1),(199,1),(209,1),(223,1),(225,1),(275,1),(288,1),(310,1)}
        96:{2,3,4,7}:{(66,1),(68,1),(131,1),(147,1),(201,1),(219,1),(276,1)}
        97:{1,3,4,6}:{(66,1),(67,1),(69,1),(131,1),(132,1),(213,1),(218,1)}
        98:{2,4,5}:{(67,1),(132,1),(133,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(131,1),(135,1)}
       100:{2,5,6}:{(69,1),(132,1),(135,1)}
       101:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(77,1),(121,1),(135,1),(137,1),(142,1),(143,1),(197,1),(212,1),(219,1),(223,1),(227,1),(268,1),(281,1),(286,1),(305,1),(308,1)}
       102:{1,3,5,6}:{(71,1),(78,1),(122,1),(136,1),(137,1),(138,1),(213,1),(279,1),(285,1),(304,1),(309,1),(310,1),(314,1)}
       103:{2,6,7}:{(72,1),(135,1)}
       104:{1,3,6,7}:{(73,1),(84,1),(128,1),(137,1),(140,1),(309,1),(310,1),(314,1)}
       105:{1,4,6,7}:{(74,1),(85,1),(129,1),(142,1),(227,1),(268,1),(287,1),(306,1)}
       106:{1,2,5,6}:{(76,1),(79,1),(143,1),(144,1),(232,1),(283,1),(288,1)}
       107:{2,5,7}:{(75,1),(76,1),(81,1)}
       108:{2,3,5,6}:{(76,1),(78,1),(82,1),(144,1),(145,1),(146,1),(154,1)}
       109:{3,5,7}:{(77,1),(78,1),(84,1),(147,1)}
       110:{3,4,6}:{(78,1),(146,1),(147,1),(148,1)}
       111:{2,3,5,7}:{(80,1),(149,1),(150,1),(211,1),(232,1),(276,1),(308,1)}
       112:{1,2,4,6,7}:{(79,1),(81,1),(139,1),(143,1),(151,1),(212,1),(222,1),(227,1),(231,1)}
       113:{1,3,6}:{(79,1),(80,1),(82,1),(149,1),(310,1)}
       114:{1,3,4,7}:{(80,1),(83,1),(150,1),(152,1),(214,1),(227,1),(284,1)}
       115:{2,3,6,7}:{(81,1),(82,1),(84,1),(145,1),(151,1),(215,1)}
       116:{2,3,4,6}:{(82,1),(83,1),(146,1),(152,1),(154,1)}
       117:{3,4,6,7}:{(84,1),(85,1),(147,1),(155,1),(230,1),(303,1),(314,1)}
       118:{2,4,5,7}:{(85,1),(142,1),(155,1),(156,1),(223,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(158,1),(160,1),(257,1)}
       120:{2,5,6}:{(87,1),(92,1),(158,1)}
       121:{2,4,5,7}:{(88,1),(89,1),(94,1),(158,1),(160,1),(238,1)}
       122:{3,5,6}:{(89,1),(160,1),(161,1)}
       123:{1,2,4,6}:{(90,1),(92,1),(157,1),(164,1),(237,1),(242,1),(300,1),(312,1),(313,1)}
       124:{1,3,5,7}:{(90,1),(93,1),(162,1),(164,1),(165,1),(171,1),(244,1),(249,1),(311,1)}
       125:{2,4,6,7}:{(91,1),(92,1),(103,1),(158,1),(166,1),(172,1),(238,1)}
       126:{2,3,6}:{(92,1),(93,1),(164,1)}
       127:{2,3,4,7}:{(93,1),(165,1),(167,1),(174,1),(238,1)}
       128:{3,6,7}:{(94,1),(160,1)}
       129:{2,4,6,7}:{(95,1),(105,1),(168,1),(169,1),(238,1),(260,1),(293,1),(302,1)}
       130:{1,2,4,5}:{(98,1),(170,1),(171,1),(248,1),(254,1),(297,1)}
       131:{1,3,4,7}:{(96,1),(97,1),(99,1),(172,1),(249,1),(253,1)}
       132:{2,4,6}:{(97,1),(98,1),(100,1),(172,1),(173,1)}
       133:{2,3,5}:{(98,1),(171,1),(173,1),(174,1)}
       134:{1,2,5,6}:{(100,1),(170,1),(175,1),(176,1),(297,1),(313,1)}
       135:{2,5,7}:{(99,1),(100,1),(103,1),(172,1)}
       136:{2,3,5,6}:{(100,1),(102,1),(173,1),(176,1),(177,1),(178,1),(247,1),(252,1),(258,1),(297,1),(299,1),(313,1)}
       137:{1,3,5,7}:{(101,1),(102,1),(104,1),(109,1),(160,1),(177,1),(179,1),(249,1),(301,1),(311,1)}
       138:{1,3,4,6}:{(102,1),(110,1),(161,1),(178,1),(179,1),(180,1),(187,1),(237,1),(259,1),(289,1)}
       139:{1,2,6,7}:{(103,1),(175,1),(181,1),(313,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(177,1),(181,1),(182,1),(299,1),(313,1)}
       141:{1,3,4,6,7}:{(104,1),(105,1),(117,1),(168,1),(179,1),(182,1),(183,1),(256,1)}
       142:{1,4,5,7}:{(105,1),(118,1),(169,1),(183,1),(184,1),(257,1)}
       143:{1,2,5,7}:{(106,1),(107,1),(112,1),(186,1),(257,1),(264,1)}
       144:{1,3,5,6}:{(106,1),(108,1),(113,1),(185,1),(186,1),(187,1),(194,1)}
       145:{2,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(186,1),(188,1)}
       146:{2,4,6}:{(108,1),(110,1),(187,1),(188,1),(189,1)}
       147:{3,4,7}:{(109,1),(110,1),(188,1)}
       148:{3,4,5}:{(110,1),(189,1)}
       149:{2,3,6}:{(111,1),(113,1),(192,1),(313,1)}
       150:{2,4,7}:{(111,1),(114,1),(192,1),(248,1)}
       151:{1,3,6,7}:{(112,1),(113,1),(115,1),(186,1),(191,1),(249,1)}
       152:{1,3,4,6}:{(113,1),(114,1),(116,1),(187,1),(192,1),(194,1),(259,1)}
       153:{2,3,4,6,7}:{(115,1),(116,1),(117,1),(182,1),(188,1),(193,1),(195,1),(251,1),(263,1),(299,1)}
       154:{2,3,5}:{(116,1),(189,1),(194,1)}
       155:{3,5,7}:{(117,1),(118,1),(196,1)}
       156:{2,4,5,6}:{(118,1),(184,1),(196,1),(258,1),(263,1),(312,1)}
       157:{1,2,5,6}:{(120,1),(123,1),(197,1),(198,1),(273,1),(283,1),(307,1)}
       158:{2,5,7}:{(119,1),(120,1),(125,1)}
       159:{2,3,5,6}:{(120,1),(122,1),(126,1),(198,1),(199,1),(200,1),(208,1)}
       160:{3,5,7}:{(121,1),(122,1),(128,1),(201,1)}
       161:{3,4,6}:{(122,1),(200,1),(201,1),(202,1)}
       162:{2,3,5,7}:{(124,1),(203,1),(204,1),(211,1),(273,1),(276,1),(308,1)}
       163:{1,2,4,6,7}:{(123,1),(125,1),(139,1),(197,1),(205,1),(212,1),(222,1),(268,1),(272,1)}
       164:{1,3,6}:{(123,1),(124,1),(126,1),(203,1),(314,1)}
       165:{1,3,4,7}:{(124,1),(127,1),(204,1),(206,1),(214,1),(268,1),(303,1)}
       166:{2,3,6,7}:{(125,1),(126,1),(128,1),(199,1),(205,1),(215,1)}
       167:{2,3,4,6}:{(126,1),(127,1),(200,1),(206,1),(208,1)}
       168:{3,4,6,7}:{(128,1),(129,1),(201,1),(209,1),(271,1),(284,1),(310,1)}
       169:{2,4,5,7}:{(129,1),(142,1),(209,1),(210,1),(223,1)}
       170:{1,2,4,6}:{(130,1),(132,1),(134,1),(212,1),(213,1),(218,1),(277,1)}
       171:{1,3,5}:{(130,1),(133,1),(211,1),(213,1),(214,1)}
       172:{2,4,7}:{(131,1),(132,1),(135,1),(215,1)}
       173:{2,3,6}:{(132,1),(133,1),(213,1),(215,1)}
       174:{2,3,4}:{(133,1),(214,1)}
       175:{1,2,5,7}:{(134,1),(135,1),(139,1),(212,1),(217,1),(308,1)}
       176:{1,3,5,6}:{(134,1),(136,1),(213,1),(217,1),(218,1),(279,1),(283,1),(309,1)}
       177:{2,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(215,1),(217,1),(219,1),(223,1),(276,1),(308,1)}
       178:{2,4,6}:{(136,1),(138,1),(218,1),(219,1),(220,1)}
       179:{1,3,4,7}:{(137,1),(138,1),(147,1),(201,1),(219,1),(227,1),(268,1),(284,1),(303,1)}
       180:{1,3,4,5}:{(138,1),(148,1),(202,1),(220,1),(228,1),(269,1),(279,1),(285,1),(304,1)}
       181:{1,3,6,7}:{(139,1),(140,1),(217,1),(222,1),(309,1)}
       182:{2,4,6,7}:{(140,1),(141,1),(219,1),(222,1),(223,1),(282,1)}
       183:{1,3,5,7}:{(141,1),(142,1),(155,1),(209,1),(223,1),(224,1)}
       184:{1,4,5,6}:{(142,1),(156,1),(210,1),(224,1),(283,1),(287,1),(306,1)}
       185:{2,3,5,6}:{(144,1),(149,1),(225,1),(226,1),(232,1),(285,1),(288,1),(310,1)}
       186:{1,3,5,7}:{(143,1),(144,1),(145,1),(151,1),(225,1),(227,1)}
       187:{1,4,6}:{(144,1),(146,1),(226,1),(227,1),(228,1)}
       188:{2,4,7}:{(145,1),(146,1),(147,1),(227,1)}
       189:{2,4,5}:{(146,1),(148,1),(154,1),(228,1)}
       190:{3,4,5,7}:{(147,1),(148,1),(155,1),(229,1),(230,1)}
       191:{2,3,6,7}:{(149,1),(151,1),(225,1),(231,1),(276,1),(310,1)}
       192:{2,4,6}:{(149,1),(150,1),(152,1),(232,1)}
       193:{1,3,4,6,7}:{(151,1),(152,1),(153,1),(222,1),(227,1),(231,1),(233,1),(278,1),(284,1),(287,1),(309,1),(310,1)}
       194:{1,3,5}:{(152,1),(154,1),(228,1),(232,1),(285,1)}
       195:{2,3,5,7}:{(153,1),(154,1),(155,1),(223,1),(229,1),(233,1),(234,1)}
       196:{3,5,6}:{(155,1),(156,1),(230,1),(314,1)}
       197:{1,2,5,7}:{(157,1),(158,1),(163,1),(236,1),(257,1),(294,1)}
       198:{1,3,5,6}:{(157,1),(159,1),(164,1),(235,1),(236,1),(237,1),(244,1)}
       199:{2,3,5,7}:{(158,1),(159,1),(160,1),(166,1),(236,1),(238,1)}
       200:{2,4,6}:{(159,1),(161,1),(237,1),(238,1),(239,1)}
       201:{3,4,7}:{(160,1),(161,1),(238,1)}
       202:{3,4,5}:{(161,1),(239,1)}
       203:{2,3,6}:{(162,1),(164,1),(242,1),(313,1)}
       204:{2,4,7}:{(162,1),(165,1),(242,1),(248,1)}
       205:{1,3,6,7}:{(163,1),(164,1),(166,1),(236,1),(241,1),(249,1)}
       206:{1,3,4,6}:{(164,1),(165,1),(167,1),(237,1),(242,1),(244,1),(289,1)}
       207:{2,3,4,6,7}:{(166,1),(167,1),(168,1),(182,1),(238,1),(243,1),(245,1),(251,1),(293,1),(299,1)}
       208:{2,3,5}:{(167,1),(239,1),(244,1)}
       209:{3,5,7}:{(168,1),(169,1),(246,1)}
       210:{2,4,5,6}:{(169,1),(184,1),(246,1),(258,1),(293,1),(302,1)}
       211:{2,3,5}:{(171,1),(247,1),(248,1),(297,1)}
       212:{1,2,4,7}:{(170,1),(172,1),(175,1),(249,1),(253,1),(296,1)}
       213:{1,3,6}:{(170,1),(171,1),(173,1),(247,1),(249,1)}
       214:{1,3,4}:{(171,1),(174,1),(248,1)}
       215:{2,3,7}:{(172,1),(173,1),(249,1)}
       216:{2,3,4,6}:{(173,1),(174,1),(178,1),(250,1),(251,1),(252,1),(259,1),(289,1),(299,1)}
       217:{1,3,5,7}:{(175,1),(176,1),(177,1),(181,1),(249,1),(253,1),(257,1)}
       218:{1,4,6}:{(176,1),(178,1),(253,1),(254,1)}
       219:{2,4,7}:{(177,1),(178,1),(179,1),(253,1)}
       220:{2,4,5}:{(178,1),(180,1),(252,1),(254,1),(297,1)}
       221:{1,3,4,5,7}:{(179,1),(180,1),(183,1),(190,1),(240,1),(255,1),(256,1),(262,1),(292,1),(298,1),(301,1),(311,1)}
       222:{1,4,6,7}:{(181,1),(182,1),(253,1),(257,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(257,1),(258,1)}
       224:{1,3,5,6}:{(183,1),(184,1),(196,1),(246,1),(256,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(186,1),(191,1),(260,1),(264,1),(301,1)}
       226:{2,4,6}:{(185,1),(187,1),(259,1),(260,1),(261,1)}
       227:{1,4,7}:{(186,1),(187,1),(188,1),(260,1)}
       228:{1,4,5}:{(187,1),(189,1),(194,1),(261,1)}
       229:{2,4,5,7}:{(188,1),(189,1),(190,1),(195,1),(262,1),(263,1)}
       230:{3,4,6}:{(190,1),(196,1),(263,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(193,1),(260,1),(264,1),(296,1),(302,1),(313,1)}
       232:{2,5}:{(192,1),(194,1)}
       233:{1,3,5,7}:{(193,1),(194,1),(195,1),(257,1),(262,1),(264,1),(265,1),(301,1)}
       234:{2,3,5,6}:{(195,1),(196,1),(258,1),(263,1),(265,1),(299,1)}
       235:{2,3,5,6}:{(198,1),(203,1),(266,1),(267,1),(273,1),(304,1),(307,1),(314,1)}
       236:{1,3,5,7}:{(197,1),(198,1),(199,1),(205,1),(266,1),(268,1)}
       237:{1,4,6}:{(198,1),(200,1),(267,1),(268,1),(269,1)}
       238:{2,4,7}:{(199,1),(200,1),(201,1),(268,1)}
       239:{2,4,5}:{(200,1),(202,1),(208,1),(269,1)}
       240:{3,4,5,7}:{(201,1),(202,1),(209,1),(270,1),(271,1)}
       241:{2,3,6,7}:{(203,1),(205,1),(266,1),(272,1),(276,1),(314,1)}
       242:{2,4,6}:{(203,1),(204,1),(206,1),(273,1)}
       243:{1,3,4,6,7}:{(205,1),(206,1),(207,1),(222,1),(268,1),(272,1),(274,1),(278,1),(303,1),(306,1),(309,1),(314,1)}
       244:{1,3,5}:{(206,1),(208,1),(269,1),(273,1),(304,1)}
       245:{2,3,5,7}:{(207,1),(208,1),(209,1),(223,1),(270,1),(274,1),(275,1)}
       246:{3,5,6}:{(209,1),(210,1),(271,1),(310,1)}
       247:{2,3,6}:{(211,1),(213,1),(276,1),(277,1)}
       248:{2,4}:{(211,1),(214,1)}
       249:{1,3,7}:{(212,1),(213,1),(215,1),(276,1)}
       250:{1,3,4,6}:{(213,1),(214,1),(216,1),(218,1),(277,1),(278,1),(279,1),(309,1)}
       251:{2,3,4,7}:{(215,1),(216,1),(219,1),(278,1),(280,1),(284,1),(303,1)}
       252:{2,3,5}:{(216,1),(220,1),(279,1),(285,1),(304,1)}
       253:{1,4,7}:{(217,1),(218,1),(219,1)}
       254:{1,4,5}:{(218,1),(220,1),(279,1)}
       255:{2,4,5,7}:{(219,1),(220,1),(221,1),(223,1),(280,1),(281,1),(282,1),(308,1)}
       256:{1,3,4,6}:{(221,1),(224,1),(230,1),(271,1),(282,1),(287,1),(306,1),(309,1),(310,1),(314,1)}
       257:{1,5,7}:{(222,1),(223,1),(283,1)}
       258:{2,5,6}:{(223,1),(224,1),(282,1),(283,1)}
       259:{3,4,6}:{(226,1),(284,1),(285,1),(310,1)}
       260:{2,4,7}:{(225,1),(226,1),(227,1),(284,1)}
       261:{2,4,5}:{(226,1),(228,1),(232,1),(285,1)}
       262:{1,4,5,7}:{(227,1),(228,1),(229,1),(233,1),(286,1),(287,1)}
       263:{2,4,6}:{(229,1),(230,1),(234,1),(287,1)}
       264:{2,5,7}:{(231,1),(232,1),(233,1),(288,1)}
       265:{1,3,5,6}:{(233,1),(234,1),(283,1),(287,1),(288,1),(309,1),(310,1)}
       266:{2,3,5,7}:{(235,1),(236,1),(241,1),(290,1),(294,1),(311,1)}
       267:{2,4,6}:{(235,1),(237,1),(289,1),(290,1),(291,1)}
       268:{1,4,7}:{(236,1),(237,1),(238,1),(290,1)}
       269:{1,4,5}:{(237,1),(239,1),(244,1),(291,1)}
       270:{2,4,5,7}:{(238,1),(239,1),(240,1),(245,1),(292,1),(293,1)}
       271:{3,4,6}:{(240,1),(246,1),(293,1)}
       272:{2,4,6,7}:{(241,1),(242,1),(243,1),(290,1),(294,1),(296,1),(312,1),(313,1)}
       273:{2,5}:{(242,1),(244,1)}
       274:{1,3,5,7}:{(243,1),(244,1),(245,1),(257,1),(292,1),(294,1),(295,1),(311,1)}
       275:{2,3,5,6}:{(245,1),(246,1),(258,1),(293,1),(295,1),(299,1)}
       276:{2,3,7}:{(247,1),(249,1),(296,1)}
       277:{2,4,6}:{(247,1),(248,1),(250,1),(296,1),(297,1),(313,1)}
       278:{1,3,4,7}:{(249,1),(250,1),(251,1),(253,1),(296,1),(298,1)}
       279:{1,3,5}:{(250,1),(252,1),(254,1),(297,1)}
       280:{2,3,5,7}:{(251,1),(252,1),(255,1),(298,1),(299,1),(301,1),(311,1)}
       281:{1,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(298,1),(300,1)}
       282:{2,4,6}:{(255,1),(256,1),(258,1),(299,1),(300,1),(313,1)}
       283:{1,5,6}:{(257,1),(258,1),(300,1)}
       284:{3,4,7}:{(259,1),(260,1),(301,1)}
       285:{3,5}:{(259,1),(261,1)}
       286:{2,4,5,7}:{(260,1),(261,1),(262,1),(264,1),(301,1),(302,1)}
       287:{1,4,6}:{(262,1),(263,1),(265,1),(302,1)}
       288:{2,5,6}:{(264,1),(265,1),(302,1),(313,1)}
       289:{3,4,6}:{(267,1),(303,1),(304,1),(314,1)}
       290:{2,4,7}:{(266,1),(267,1),(268,1),(303,1)}
       291:{2,4,5}:{(267,1),(269,1),(273,1),(304,1)}
       292:{1,4,5,7}:{(268,1),(269,1),(270,1),(274,1),(305,1),(306,1)}
       293:{2,4,6}:{(270,1),(271,1),(275,1),(306,1)}
       294:{2,5,7}:{(272,1),(273,1),(274,1),(307,1)}
       295:{1,3,5,6}:{(274,1),(275,1),(283,1),(306,1),(307,1),(309,1),(314,1)}
       296:{2,4,7}:{(276,1),(277,1),(278,1),(308,1)}
       297:{2,5}:{(277,1),(279,1)}
       298:{1,3,5,7}:{(278,1),(279,1),(280,1),(281,1),(308,1),(309,1)}
       299:{2,3,6}:{(280,1),(282,1),(309,1),(310,1),(314,1)}
       300:{1,4,6}:{(281,1),(282,1),(283,1),(309,1)}
       301:{3,5,7}:{(284,1),(285,1),(286,1),(310,1)}
       302:{2,4,6}:{(286,1),(287,1),(288,1),(310,1)}
       303:{3,4,7}:{(289,1),(290,1),(311,1)}
       304:{3,5}:{(289,1),(291,1)}
       305:{2,4,5,7}:{(290,1),(291,1),(292,1),(294,1),(311,1),(312,1)}
       306:{1,4,6}:{(292,1),(293,1),(295,1),(312,1)}
       307:{2,5,6}:{(294,1),(295,1),(312,1),(313,1)}
       308:{2,5,7}:{(296,1),(297,1),(298,1),(313,1)}
       309:{1,3,6}:{(298,1),(299,1),(300,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

2120 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(34,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(19,1),(20,1),(40,1),(44,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(19,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{2,4,6}:{(10,1),(12,1),(23,1),(32,1),(33,1)}
        20:{1,3,4,7}:{(10,1),(11,1),(24,1),(33,1),(56,1),(61,1),(83,1)}
        21:{1,2,4,5}:{(12,1),(31,1),(34,1),(64,1),(82,1),(90,1)}
        22:{2,3,5}:{(12,1),(32,1),(34,1),(35,1)}
        23:{2,5,6}:{(13,1),(19,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(20,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(21,1),(36,1),(44,1),(45,1),(66,1),(75,1)}
        32:{2,3,6}:{(19,1),(22,1),(44,1),(47,1)}
        33:{2,4,7}:{(19,1),(20,1),(38,1),(47,1)}
        34:{1,3,5}:{(21,1),(22,1),(44,1),(48,1),(49,1)}
        35:{2,3,4}:{(22,1),(49,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(32,1),(50,1),(52,1),(53,1),(62,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(33,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(51,1),(61,1),(83,1),(91,1)}
        46:{2,3,4,6}:{(32,1),(35,1),(52,1),(60,1),(62,1),(63,1),(93,1)}
        47:{2,3,7}:{(32,1),(33,1),(61,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(90,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(44,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(45,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(47,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(48,1),(75,1),(76,1)}
        60:{1,3,4,6}:{(44,1),(46,1),(49,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        61:{1,3,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{2,3,5}:{(46,1),(69,1),(77,1)}
        63:{2,3,4,7}:{(46,1),(47,1),(70,1),(78,1),(79,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(62,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(64,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(61,1),(91,1)}
        77:{1,3,5}:{(60,1),(62,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(60,1),(61,1),(63,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2121 :   0:{2,3,5,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1)}
         1:{1,3,5,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(41,1),(43,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(37,1)}
         3:{2,5,6,7}:{(1,1),(8,1),(29,1),(53,1),(56,1)}
         4:{1,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(52,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(9,1),(11,1),(29,1),(93,1)}
         6:{3,4,6,7}:{(2,1),(11,1),(24,1)}
         7:{2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(37,1),(106,1),(153,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(70,1)}
         9:{1,4,5,7}:{(4,1),(5,1),(13,1),(15,1),(17,1),(43,1),(73,1)}
        10:{1,3,4,6,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(35,1),(39,1),(41,1),(73,1),(114,1)}
        11:{3,5,7}:{(5,1),(6,1),(14,1),(114,1)}
        12:{2,3,4,6,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(67,1),(72,1),(75,1),(114,1),(115,1),(152,1),(155,1)}
        13:{1,4,5,6}:{(7,1),(9,1),(22,1),(23,1),(51,1),(52,1),(85,1),(133,1)}
        14:{3,5,6}:{(7,1),(11,1),(24,1),(128,1),(175,1)}
        15:{2,4,5,7}:{(8,1),(9,1),(22,1),(26,1),(29,1),(54,1)}
        16:{3,6,7}:{(8,1),(26,1),(90,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(29,1)}
        18:{2,4,6,7}:{(10,1),(27,1),(29,1),(30,1),(50,1),(54,1),(56,1),(93,1)}
        19:{3,4,5,7}:{(11,1),(24,1),(31,1),(138,1),(175,1)}
        20:{2,3,5,7}:{(11,1),(12,1),(25,1),(29,1),(31,1),(32,1),(175,1),(178,1)}
        21:{1,3,4,6,7}:{(12,1),(30,1),(32,1),(33,1),(52,1),(60,1),(87,1),(90,1),(92,1),(98,1),(100,1),(132,1),(177,1)}
        22:{2,4,5,6}:{(13,1),(15,1),(34,1),(36,1),(65,1),(70,1),(112,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(156,1)}
        24:{3,4,6}:{(14,1),(19,1),(37,1)}
        25:{2,3,5,6}:{(14,1),(20,1),(36,1),(37,1),(38,1),(67,1)}
        26:{3,5,7}:{(15,1),(16,1),(34,1),(39,1)}
        27:{2,3,6,7}:{(16,1),(18,1),(40,1),(41,1),(67,1),(114,1)}
        28:{1,3,4,5,7}:{(17,1),(19,1),(35,1),(39,1),(42,1),(45,1),(64,1),(73,1),(76,1),(80,1),(104,1),(114,1),(119,1),(149,1),(156,1)}
        29:{2,5,7}:{(17,1),(18,1),(36,1),(43,1)}
        30:{1,4,6,7}:{(18,1),(41,1),(43,1),(68,1),(73,1)}
        31:{2,4,5,7}:{(19,1),(20,1),(37,1),(45,1),(115,1),(153,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(38,1),(43,1),(45,1),(46,1),(80,1),(156,1),(198,1)}
        33:{2,4,6,7}:{(21,1),(46,1),(47,1),(70,1),(81,1),(108,1),(113,1),(155,1)}
        34:{3,5,6}:{(22,1),(26,1),(48,1),(90,1),(134,1)}
        35:{1,3,4,6}:{(23,1),(24,1),(28,1),(48,1),(50,1),(52,1),(85,1),(87,1),(90,1),(128,1)}
        36:{2,5,6}:{(23,1),(29,1),(50,1),(51,1),(178,1)}
        37:{2,4,6}:{(24,1),(25,1),(31,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(32,1),(51,1),(52,1),(53,1),(87,1),(90,1)}
        39:{3,4,7}:{(26,1),(48,1),(54,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(49,1),(54,1),(55,1)}
        41:{1,3,6,7}:{(27,1),(30,1),(55,1),(56,1),(87,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(50,1),(54,1),(57,1),(58,1),(83,1),(93,1),(96,1),(126,1),(142,1),(178,1)}
        43:{1,5,7}:{(29,1),(30,1),(51,1)}
        44:{1,2,4,6,7}:{(30,1),(33,1),(56,1),(59,1),(60,1),(88,1),(93,1),(95,1),(98,1),(130,1),(136,1),(177,1),(220,1),(237,1),(243,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(52,1),(61,1),(98,1),(133,1)}
        46:{2,5,7}:{(32,1),(33,1),(53,1),(178,1)}
        47:{2,3,6,7}:{(33,1),(60,1),(62,1),(90,1),(131,1),(137,1),(237,1)}
        48:{3,4,6}:{(34,1),(39,1),(64,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(67,1),(103,1)}
        50:{2,4,6}:{(35,1),(36,1),(42,1),(67,1),(68,1),(108,1)}
        51:{1,5,6}:{(36,1),(43,1),(68,1),(198,1)}
        52:{1,4,6}:{(37,1),(38,1),(45,1),(70,1)}
        53:{2,5,6}:{(38,1),(46,1),(70,1),(108,1)}
        54:{2,4,7}:{(39,1),(40,1),(65,1),(73,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(43,1),(66,1),(73,1),(74,1),(114,1)}
        56:{2,6,7}:{(41,1),(74,1),(108,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(72,1),(76,1),(80,1),(103,1),(114,1),(149,1)}
        58:{1,4,5,7}:{(42,1),(43,1),(68,1),(73,1),(76,1),(104,1),(165,1),(198,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(46,1),(69,1),(74,1),(78,1),(116,1),(198,1),(228,1),(241,1)}
        60:{1,3,6,7}:{(44,1),(47,1),(75,1),(78,1),(109,1),(114,1),(154,1),(160,1),(244,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(70,1),(80,1),(81,1),(112,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(71,1),(78,1),(80,1),(81,1),(241,1),(244,1)}
        63:{2,3,4,6,7}:{(47,1),(79,1),(81,1),(82,1),(111,1),(123,1),(155,1),(161,1),(169,1),(203,1),(206,1),(244,1)}
        64:{3,4,5}:{(48,1),(83,1),(134,1),(231,1)}
        65:{2,4,6}:{(48,1),(49,1),(54,1),(83,1),(85,1)}
        66:{1,3,5,6}:{(49,1),(51,1),(55,1),(85,1),(86,1),(87,1),(125,1),(128,1)}
        67:{2,3,6}:{(50,1),(57,1),(87,1),(90,1),(128,1)}
        68:{1,4,6}:{(50,1),(51,1),(58,1),(87,1)}
        69:{1,2,5,6}:{(51,1),(53,1),(59,1),(86,1),(88,1),(89,1),(130,1),(140,1),(170,1),(178,1),(215,1),(235,1)}
        70:{2,4,6}:{(52,1),(53,1),(61,1),(90,1)}
        71:{2,3,5,6}:{(53,1),(62,1),(89,1),(90,1),(91,1),(131,1),(134,1),(178,1),(207,1),(235,1),(242,1)}
        72:{2,3,4,7}:{(54,1),(57,1),(84,1),(92,1),(100,1),(142,1),(172,1),(182,1)}
        73:{1,4,7}:{(54,1),(55,1),(85,1),(93,1)}
        74:{2,5,7}:{(55,1),(56,1),(86,1),(93,1)}
        75:{2,3,6,7}:{(56,1),(60,1),(94,1),(95,1),(131,1),(182,1),(185,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(87,1),(92,1),(96,1),(125,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(88,1),(93,1),(96,1),(97,1),(98,1),(126,1),(133,1),(136,1),(139,1),(142,1),(170,1),(178,1),(187,1),(208,1),(217,1),(232,1),(243,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(89,1),(94,1),(98,1)}
        79:{1,3,4,6,7}:{(60,1),(63,1),(95,1),(98,1),(99,1),(132,1),(138,1),(144,1),(177,1),(183,1),(185,1),(218,1),(220,1)}
        80:{3,5,7}:{(61,1),(90,1),(100,1),(134,1)}
        81:{2,4,7}:{(62,1),(91,1),(98,1),(100,1)}
        82:{2,3,5,7}:{(63,1),(99,1),(101,1),(102,1),(134,1),(178,1),(181,1),(216,1)}
        83:{2,4,5}:{(64,1),(65,1),(103,1),(104,1),(221,1)}
        84:{2,3,4,6}:{(65,1),(67,1),(72,1),(103,1),(105,1),(111,1),(155,1),(193,1),(221,1)}
        85:{1,4,6}:{(65,1),(66,1),(73,1),(104,1),(106,1)}
        86:{2,5,6}:{(66,1),(74,1),(106,1),(108,1),(148,1)}
        87:{1,3,6}:{(67,1),(68,1),(76,1),(108,1)}
        88:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(106,1),(108,1),(109,1),(110,1),(155,1),(163,1),(205,1),(229,1),(239,1)}
        89:{1,3,5,6}:{(69,1),(71,1),(78,1),(107,1),(109,1),(110,1),(154,1),(156,1),(190,1),(198,1)}
        90:{3,6}:{(70,1),(80,1)}
        91:{2,4,6}:{(71,1),(81,1),(110,1),(111,1),(112,1),(221,1)}
        92:{1,3,4,7}:{(72,1),(73,1),(76,1),(105,1),(113,1),(114,1),(160,1),(165,1)}
        93:{2,4,7}:{(73,1),(74,1),(106,1),(114,1)}
        94:{2,3,5,7}:{(74,1),(75,1),(78,1),(107,1),(114,1),(115,1),(116,1),(162,1)}
        95:{2,4,6,7}:{(75,1),(79,1),(115,1),(116,1),(155,1),(163,1),(201,1),(229,1)}
        96:{2,5,7}:{(76,1),(108,1),(113,1),(148,1)}
        97:{1,3,5,7}:{(77,1),(80,1),(109,1),(114,1),(118,1),(119,1),(149,1),(156,1),(160,1),(162,1),(190,1),(238,1),(244,1)}
        98:{1,4,7}:{(78,1),(81,1),(110,1),(115,1)}
        99:{1,3,5,7}:{(79,1),(82,1),(116,1),(120,1),(121,1),(156,1),(162,1),(198,1),(228,1)}
       100:{3,4,7}:{(80,1),(81,1),(111,1),(244,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(112,1),(120,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(82,1),(121,1),(123,1),(158,1),(199,1),(203,1)}
       103:{2,3,5}:{(83,1),(84,1),(125,1),(134,1),(178,1)}
       104:{1,4,5}:{(83,1),(85,1),(125,1),(126,1),(208,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(87,1),(92,1),(125,1),(127,1),(128,1),(172,1),(173,1),(177,1),(208,1)}
       106:{2,4,6}:{(85,1),(86,1),(93,1),(126,1),(128,1)}
       107:{2,3,5,6}:{(86,1),(89,1),(94,1),(128,1),(129,1),(131,1),(140,1),(171,1),(175,1),(178,1),(185,1)}
       108:{2,6}:{(87,1),(96,1)}
       109:{1,3,6}:{(88,1),(90,1),(97,1),(128,1),(131,1),(185,1),(242,1)}
       110:{1,4,6}:{(89,1),(91,1),(98,1),(129,1),(133,1),(208,1)}
       111:{3,4,6}:{(90,1),(91,1),(100,1),(134,1),(231,1),(242,1)}
       112:{2,4,5}:{(91,1),(133,1),(134,1),(178,1)}
       113:{2,4,7}:{(92,1),(96,1),(127,1),(137,1)}
       114:{3,7}:{(93,1),(128,1)}
       115:{2,4,7}:{(94,1),(98,1),(129,1),(138,1)}
       116:{2,5,7}:{(95,1),(99,1),(140,1),(178,1)}
       117:{1,2,5,7}:{(96,1),(130,1),(136,1),(141,1),(170,1),(217,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(131,1),(137,1),(141,1),(142,1),(171,1),(178,1),(182,1),(207,1),(217,1)}
       119:{1,3,4,7}:{(97,1),(98,1),(100,1),(132,1),(138,1),(142,1),(172,1),(208,1),(231,1)}
       120:{1,4,5,7}:{(98,1),(99,1),(101,1),(133,1),(139,1),(144,1)}
       121:{1,3,5,6}:{(99,1),(102,1),(140,1),(144,1),(185,1),(215,1),(218,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(134,1),(146,1),(181,1)}
       123:{2,4,6}:{(101,1),(102,1),(144,1),(146,1)}
       124:{2,3,5,6,7}:{(102,1),(145,1),(147,1),(181,1),(216,1),(219,1)}
       125:{1,3,5}:{(103,1),(104,1),(105,1),(148,1),(149,1),(198,1)}
       126:{2,4,5}:{(104,1),(106,1),(148,1),(149,1),(191,1)}
       127:{2,4,6}:{(105,1),(108,1),(113,1),(148,1),(151,1),(191,1)}
       128:{3,6}:{(106,1),(114,1),(149,1)}
       129:{2,4,6}:{(107,1),(110,1),(115,1),(152,1),(153,1),(191,1)}
       130:{1,2,6}:{(108,1),(117,1),(154,1),(229,1)}
       131:{2,3,6}:{(108,1),(109,1),(118,1),(154,1),(155,1),(229,1)}
       132:{1,3,4,6}:{(109,1),(110,1),(111,1),(119,1),(152,1),(155,1),(156,1)}
       133:{1,4,5}:{(110,1),(112,1),(153,1),(156,1),(198,1)}
       134:{3,5}:{(111,1),(112,1)}
       135:{2,4,5,6}:{(112,1),(123,1),(157,1),(158,1),(159,1),(199,1),(239,1)}
       136:{1,2,4,7}:{(113,1),(117,1),(150,1),(160,1),(165,1),(201,1)}
       137:{2,3,7}:{(113,1),(114,1),(151,1),(160,1)}
       138:{3,4,7}:{(114,1),(115,1),(152,1),(162,1)}
       139:{2,4,5,7}:{(115,1),(116,1),(120,1),(153,1),(162,1),(163,1)}
       140:{2,5,6}:{(116,1),(121,1),(163,1),(229,1)}
       141:{1,3,5,7}:{(117,1),(118,1),(154,1),(160,1),(165,1),(190,1),(198,1)}
       142:{2,4,7}:{(118,1),(119,1),(155,1),(165,1),(191,1),(221,1)}
       143:{1,3,4,5,7}:{(119,1),(120,1),(122,1),(156,1),(162,1),(166,1),(167,1),(192,1),(200,1),(202,1),(222,1),(224,1),(238,1),(240,1),(244,1)}
       144:{1,4,6}:{(120,1),(121,1),(123,1),(163,1)}
       145:{1,3,5,6,7}:{(121,1),(124,1),(164,1),(168,1),(200,1),(204,1),(228,1),(230,1)}
       146:{3,4,6}:{(122,1),(123,1),(158,1)}
       147:{2,4,6,7}:{(123,1),(124,1),(159,1),(168,1),(169,1)}
       148:{2,5}:{(125,1),(127,1)}
       149:{3,5}:{(126,1),(128,1),(172,1)}
       150:{1,2,4,6}:{(127,1),(130,1),(136,1),(170,1),(173,1),(177,1),(208,1),(211,1)}
       151:{2,3,6}:{(127,1),(128,1),(137,1),(171,1),(173,1)}
       152:{3,4,6}:{(128,1),(129,1),(138,1),(172,1),(175,1),(185,1)}
       153:{2,4,5}:{(129,1),(133,1),(175,1),(178,1)}
       154:{1,3,6}:{(130,1),(131,1),(141,1),(177,1)}
       155:{2,4,6}:{(131,1),(132,1),(142,1),(177,1),(178,1)}
       156:{1,3,5}:{(132,1),(133,1),(134,1),(175,1),(178,1)}
       157:{1,4,5,6}:{(133,1),(135,1),(144,1),(176,1),(179,1),(180,1),(215,1),(233,1)}
       158:{3,5,6}:{(134,1),(135,1),(146,1),(181,1),(242,1)}
       159:{2,4,5,7}:{(135,1),(147,1),(180,1),(181,1),(216,1),(243,1)}
       160:{1,3,7}:{(136,1),(137,1),(173,1),(182,1)}
       161:{2,3,4,7}:{(137,1),(138,1),(142,1),(174,1),(183,1),(184,1),(231,1),(234,1)}
       162:{3,5,7}:{(138,1),(139,1),(175,1),(185,1)}
       163:{2,4,6}:{(139,1),(140,1),(144,1),(185,1)}
       164:{2,5,6,7}:{(140,1),(145,1),(186,1),(216,1),(237,1)}
       165:{1,4,7}:{(141,1),(142,1),(177,1),(208,1)}
       166:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1),(187,1),(188,1),(209,1),(216,1),(217,1),(232,1),(234,1),(243,1)}
       167:{1,3,4,6}:{(143,1),(144,1),(146,1),(179,1),(185,1),(188,1),(210,1),(218,1),(233,1),(242,1)}
       168:{1,4,6,7}:{(144,1),(145,1),(147,1),(180,1),(186,1)}
       169:{3,4,6,7}:{(146,1),(147,1),(181,1)}
       170:{1,2,5}:{(148,1),(150,1),(190,1),(198,1),(225,1)}
       171:{2,3,5}:{(148,1),(149,1),(151,1),(190,1),(191,1)}
       172:{3,4}:{(149,1),(191,1)}
       173:{1,3,6}:{(150,1),(151,1),(160,1),(190,1),(193,1)}
       174:{2,3,4,6}:{(151,1),(152,1),(155,1),(161,1),(191,1),(194,1),(195,1),(203,1),(223,1)}
       175:{3,5}:{(152,1),(153,1)}
       176:{2,4,5,6}:{(153,1),(157,1),(163,1),(196,1),(197,1),(199,1),(223,1)}
       177:{1,4,6}:{(154,1),(155,1),(165,1),(198,1)}
       178:{2,5}:{(155,1),(156,1),(198,1)}
       179:{1,3,5,6}:{(156,1),(157,1),(158,1),(167,1),(196,1),(199,1),(200,1)}
       180:{1,4,5,7}:{(157,1),(159,1),(168,1),(197,1),(200,1),(228,1),(240,1)}
       181:{3,5,7}:{(158,1),(159,1),(169,1),(244,1)}
       182:{2,3,7}:{(160,1),(193,1),(201,1),(244,1)}
       183:{1,3,4,7}:{(160,1),(161,1),(165,1),(194,1),(201,1),(202,1),(240,1),(244,1)}
       184:{2,3,5,7}:{(161,1),(162,1),(166,1),(195,1),(202,1),(203,1),(238,1),(244,1)}
       185:{3,6}:{(162,1),(163,1)}
       186:{2,4,6,7}:{(163,1),(164,1),(168,1),(197,1),(204,1)}
       187:{1,4,5,7}:{(165,1),(166,1),(198,1),(202,1),(205,1),(222,1),(228,1),(240,1)}
       188:{2,4,6}:{(166,1),(167,1),(199,1),(203,1),(205,1),(229,1)}
       189:{1,3,4,6,7}:{(167,1),(168,1),(169,1),(200,1),(204,1),(206,1),(224,1),(230,1),(240,1),(244,1)}
       190:{1,3,5}:{(170,1),(171,1),(173,1),(207,1),(208,1)}
       191:{2,4}:{(171,1),(172,1),(208,1)}
       192:{3,4,5}:{(172,1),(175,1),(209,1),(210,1)}
       193:{2,3,6}:{(173,1),(182,1),(207,1),(211,1),(242,1)}
       194:{1,3,4,6}:{(173,1),(174,1),(177,1),(183,1),(208,1),(211,1),(212,1),(218,1),(231,1),(233,1),(242,1)}
       195:{2,3,5}:{(174,1),(175,1),(178,1),(209,1),(212,1)}
       196:{3,5,6}:{(175,1),(176,1),(185,1),(210,1),(214,1)}
       197:{2,4,5,7}:{(176,1),(180,1),(186,1),(214,1),(216,1),(234,1)}
       198:{1,5}:{(177,1),(178,1)}
       199:{2,5,6}:{(178,1),(179,1),(188,1),(215,1),(216,1)}
       200:{1,3,5,7}:{(179,1),(180,1),(181,1),(189,1),(214,1),(216,1)}
       201:{2,4,7}:{(182,1),(183,1),(211,1),(217,1)}
       202:{1,3,5,7}:{(183,1),(184,1),(187,1),(212,1),(217,1),(218,1)}
       203:{2,3,6}:{(184,1),(185,1),(188,1),(218,1),(242,1)}
       204:{3,6,7}:{(185,1),(186,1),(214,1)}
       205:{1,4,6}:{(187,1),(188,1),(215,1),(218,1)}
       206:{2,4,6,7}:{(188,1),(189,1),(216,1),(219,1),(220,1),(234,1),(237,1),(243,1)}
       207:{2,3,5}:{(190,1),(193,1),(221,1),(225,1),(238,1)}
       208:{1,4}:{(190,1),(191,1),(221,1)}
       209:{2,4,5}:{(191,1),(192,1),(195,1),(222,1),(223,1)}
       210:{3,4,6}:{(192,1),(196,1),(223,1),(224,1)}
       211:{2,4,6}:{(193,1),(194,1),(201,1),(221,1),(225,1),(229,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(222,1),(225,1),(238,1)}
       213:{2,3,5,6}:{(195,1),(196,1),(199,1),(203,1),(223,1),(226,1),(227,1)}
       214:{3,5,7}:{(196,1),(197,1),(204,1),(224,1)}
       215:{1,5,6}:{(198,1),(199,1),(205,1),(228,1)}
       216:{2,5,7}:{(199,1),(200,1),(206,1),(228,1)}
       217:{2,5,7}:{(201,1),(202,1),(225,1),(229,1)}
       218:{1,3,6}:{(202,1),(203,1),(205,1),(229,1)}
       219:{2,3,6,7}:{(203,1),(204,1),(206,1),(227,1),(230,1),(244,1)}
       220:{1,4,6,7}:{(205,1),(206,1),(228,1),(230,1),(240,1)}
       221:{2,4}:{(207,1),(208,1),(231,1)}
       222:{1,4,5}:{(208,1),(209,1),(212,1),(232,1),(233,1)}
       223:{2,4,6}:{(209,1),(210,1),(213,1),(233,1),(234,1)}
       224:{3,4,7}:{(210,1),(214,1),(234,1)}
       225:{2,5}:{(211,1),(212,1)}
       226:{1,3,5,6}:{(212,1),(213,1),(215,1),(218,1),(233,1),(235,1),(236,1),(242,1)}
       227:{2,3,5,7}:{(213,1),(214,1),(216,1),(219,1),(234,1),(236,1)}
       228:{1,5,7}:{(215,1),(216,1),(220,1)}
       229:{2,6}:{(217,1),(218,1)}
       230:{1,3,6,7}:{(218,1),(219,1),(220,1),(236,1),(237,1)}
       231:{3,4}:{(221,1),(238,1)}
       232:{2,4,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{1,4,6}:{(222,1),(223,1),(226,1),(239,1),(240,1)}
       234:{2,4,7}:{(223,1),(224,1),(227,1),(240,1)}
       235:{2,5,6}:{(225,1),(226,1),(229,1),(239,1),(241,1)}
       236:{1,3,5,7}:{(226,1),(227,1),(228,1),(230,1),(240,1),(241,1),(244,1)}
       237:{2,6,7}:{(229,1),(230,1),(241,1)}
       238:{3,5}:{(231,1),(232,1),(242,1)}
       239:{2,4,6}:{(232,1),(233,1),(235,1),(242,1),(243,1)}
       240:{1,4,7}:{(233,1),(234,1),(236,1),(243,1)}
       241:{2,5,7}:{(235,1),(236,1),(237,1),(243,1)}
       242:{3,6}:{(238,1),(239,1),(244,1)}
       243:{2,4,7}:{(239,1),(240,1),(241,1),(244,1)}
       244:{3,7}:{(242,1),(243,1)}

2122 :   0:{3,4,5,6,7}:{(1,1),(56,1),(130,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(42,1),(148,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(160,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(6,1),(32,1),(165,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(39,1),(42,1),(142,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(11,1),(173,1)}
         6:{2,4,5,6,7}:{(3,1),(10,1),(11,1),(23,1),(177,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(46,1),(74,1),(115,1),(142,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(49,1),(57,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(17,1),(29,1),(32,1),(158,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(181,1)}
        11:{3,5,6,7}:{(6,1),(17,1),(184,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(34,1),(35,1),(58,1),(133,1),(158,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(24,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(171,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(106,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(41,1),(145,1)}
        17:{3,4,6,7}:{(11,1),(23,1),(24,1),(176,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(151,1),(171,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(120,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(157,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(31,1),(32,1),(54,1),(126,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(163,1)}
        24:{3,4,5,7}:{(17,1),(33,1),(34,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(120,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(132,1),(157,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(140,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{2,3,5,6,7}:{(22,1),(39,1),(42,1),(70,1),(73,1),(108,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(42,1),(43,1),(146,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1)}
        34:{3,4,5,6}:{(24,1),(44,1),(176,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(113,1),(140,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(122,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(56,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(56,1),(57,1),(128,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(57,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(163,1)}
        45:{3,4,5,6,7}:{(34,1),(59,1),(185,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(122,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(132,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(138,1),(144,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(140,1),(172,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1),(73,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{3,4,6,7}:{(42,1),(73,1),(110,1)}
        57:{2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(74,1),(146,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(178,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(106,1),(113,1),(140,1),(152,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(113,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(152,1),(177,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(119,1),(169,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(91,1),(119,1),(125,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(157,1),(163,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(120,1),(182,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(122,1),(128,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1),(92,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{3,5,7}:{(56,1),(57,1),(92,1)}
        74:{2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(128,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(93,1),(166,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(168,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(122,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(130,1),(134,1),(165,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(169,1),(186,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(180,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(110,1),(140,1),(146,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(172,1),(178,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(105,1),(140,1),(146,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(105,1),(106,1),(187,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(105,1),(107,1),(108,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(109,1),(111,1)}
        91:{3,4,5,7}:{(73,1),(107,1),(110,1)}
        92:{3,5,6}:{(73,1),(74,1),(110,1)}
        93:{2,4,5,6,7}:{(74,1),(75,1),(109,1),(111,1),(149,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(112,1),(113,1),(140,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(113,1),(151,1)}
        96:{2,3,5}:{(77,1),(78,1),(113,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(116,1),(117,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(117,1),(150,1),(154,1),(179,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(118,1),(119,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(119,1),(120,1),(125,1),(156,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(119,1),(122,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(122,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(123,1),(131,1),(159,1),(166,1)}
       104:{2,3,4,6,7}:{(86,1),(118,1),(124,1),(157,1),(163,1),(182,1),(185,1)}
       105:{1,3,5,7}:{(86,1),(87,1),(88,1),(124,1),(125,1),(126,1)}
       106:{1,2,5,6}:{(87,1),(89,1),(120,1),(126,1),(181,1)}
       107:{2,4,5,7}:{(88,1),(91,1),(125,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(92,1),(122,1),(126,1),(128,1)}
       109:{2,5,6,7}:{(89,1),(90,1),(123,1)}
       110:{3,4,6}:{(91,1),(92,1),(128,1)}
       111:{3,5,6,7}:{(92,1),(93,1),(131,1)}
       112:{2,3,4,6}:{(94,1),(118,1),(132,1),(157,1),(168,1)}
       113:{1,3,5}:{(94,1),(95,1),(96,1),(132,1)}
       114:{1,2,4,5,6}:{(95,1),(97,1),(120,1),(134,1),(135,1),(165,1),(168,1),(181,1)}
       115:{2,3,4,5}:{(96,1),(133,1),(136,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(122,1),(134,1),(136,1),(137,1)}
       117:{2,4,5,7}:{(97,1),(98,1),(123,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(112,1),(138,1),(180,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(113,1),(138,1),(140,1)}
       120:{1,2,4,6}:{(100,1),(102,1),(106,1),(140,1),(146,1),(171,1)}
       121:{2,3,4,5,7}:{(101,1),(107,1),(115,1),(139,1),(142,1),(155,1),(175,1)}
       122:{2,3,6}:{(101,1),(102,1),(140,1)}
       123:{2,4,6,7}:{(102,1),(103,1),(109,1),(117,1),(143,1)}
       124:{2,3,5,7}:{(104,1),(105,1),(144,1),(145,1),(187,1),(188,1)}
       125:{1,4,5,7}:{(105,1),(107,1),(144,1),(146,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(108,1),(140,1),(145,1),(146,1)}
       127:{1,2,5,6,7}:{(106,1),(109,1),(141,1),(147,1),(187,1)}
       128:{2,4,6}:{(107,1),(108,1),(110,1),(146,1)}
       129:{2,3,5,6,7}:{(108,1),(109,1),(111,1),(143,1),(147,1),(149,1),(175,1)}
       130:{3,4,5,6}:{(110,1),(148,1),(150,1)}
       131:{3,4,6,7}:{(110,1),(111,1),(149,1),(150,1)}
       132:{2,3,5}:{(112,1),(113,1),(151,1)}
       133:{1,3,4,5}:{(113,1),(115,1),(151,1),(153,1)}
       134:{1,3,5,6}:{(113,1),(114,1),(116,1),(140,1),(152,1),(153,1),(154,1)}
       135:{1,2,4,5,7}:{(114,1),(117,1),(141,1),(154,1),(179,1),(180,1),(187,1)}
       136:{2,3,4,6}:{(115,1),(116,1),(153,1),(155,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(143,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(132,1),(156,1),(157,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(125,1),(133,1),(156,1),(158,1),(162,1),(170,1),(183,1)}
       140:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(127,1),(135,1),(159,1),(166,1),(182,1)}
       142:{2,3,4,6}:{(121,1),(122,1),(128,1),(158,1),(160,1)}
       143:{2,3,6,7}:{(122,1),(123,1),(137,1),(159,1)}
       144:{2,4,5,7}:{(124,1),(125,1),(162,1),(163,1)}
       145:{2,3,5,6}:{(124,1),(126,1),(157,1),(163,1),(181,1),(184,1)}
       146:{1,4,6}:{(125,1),(126,1),(128,1),(163,1)}
       147:{1,3,5,6,7}:{(126,1),(127,1),(129,1),(159,1),(164,1),(166,1),(183,1)}
       148:{2,4,5,6}:{(128,1),(130,1),(160,1),(165,1),(167,1)}
       149:{2,4,6,7}:{(128,1),(129,1),(131,1),(166,1),(167,1)}
       150:{3,4,5,7}:{(130,1),(131,1),(167,1)}
       151:{2,4,5}:{(132,1),(133,1),(168,1)}
       152:{2,3,5,6}:{(132,1),(134,1),(157,1),(168,1),(169,1),(181,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(136,1),(168,1),(170,1)}
       154:{1,3,5,7}:{(134,1),(135,1),(137,1),(159,1),(169,1),(170,1)}
       155:{2,3,4,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(151,1),(171,1),(180,1),(187,1)}
       157:{2,3,6}:{(138,1),(140,1),(171,1)}
       158:{1,3,4,6}:{(139,1),(140,1),(142,1),(146,1),(171,1),(173,1),(176,1)}
       159:{1,3,6,7}:{(140,1),(141,1),(143,1),(154,1),(172,1)}
       160:{2,3,5,6}:{(142,1),(148,1),(173,1),(175,1)}
       161:{2,3,4,6,7}:{(142,1),(143,1),(149,1),(155,1),(174,1),(175,1)}
       162:{3,4,5,7}:{(144,1),(176,1),(188,1)}
       163:{2,4,6}:{(144,1),(145,1),(146,1),(176,1)}
       164:{2,3,5,6,7}:{(145,1),(147,1),(172,1),(178,1),(187,1),(188,1)}
       165:{1,4,5,6}:{(146,1),(148,1),(173,1),(177,1),(179,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(149,1),(178,1),(179,1)}
       167:{2,4,5,7}:{(148,1),(149,1),(150,1),(175,1),(179,1)}
       168:{2,4,6}:{(151,1),(152,1),(153,1),(180,1)}
       169:{2,3,5,7}:{(152,1),(154,1),(172,1),(180,1),(187,1)}
       170:{1,3,4,7}:{(153,1),(154,1),(155,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(158,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(169,1),(182,1)}
       173:{1,3,5,6}:{(158,1),(160,1),(165,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6,7}:{(158,1),(159,1),(161,1),(166,1),(170,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,7}:{(160,1),(161,1),(167,1),(183,1)}
       176:{3,4,6}:{(162,1),(163,1),(184,1)}
       177:{2,4,5,6}:{(163,1),(165,1),(181,1),(184,1),(186,1)}
       178:{2,4,6,7}:{(163,1),(164,1),(166,1),(185,1),(186,1)}
       179:{1,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(186,1)}
       180:{2,4,7}:{(168,1),(169,1),(170,1)}
       181:{2,5,6}:{(171,1),(173,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(174,1),(180,1),(187,1)}
       183:{1,3,5,7}:{(173,1),(174,1),(175,1),(179,1),(187,1),(188,1)}
       184:{3,5,6}:{(176,1),(177,1),(188,1)}
       185:{3,4,6,7}:{(176,1),(178,1),(188,1)}
       186:{2,4,5,7}:{(177,1),(178,1),(179,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

2123 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

2124 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2125 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(81,1),(84,1),(147,1),(212,1),(340,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(23,1),(60,1),(101,1),(113,1),(186,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(108,1),(248,1),(314,1),(324,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(25,1),(27,1),(58,1),(63,1),(101,1),(239,1),(240,1),(308,1)}
         4:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(10,1),(14,1),(32,1),(38,1),(40,1),(82,1),(135,1),(212,1),(213,1),(285,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(35,1),(38,1),(78,1),(147,1),(211,1),(224,1),(280,1),(288,1),(290,1)}
         6:{1,2,5,7}:{(1,1),(10,1),(12,1),(133,1),(224,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(14,1),(140,1),(285,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(87,1),(133,1),(276,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(25,1),(46,1),(58,1),(94,1),(101,1),(193,1),(194,1),(266,1)}
        10:{1,3,5,7}:{(4,1),(6,1),(8,1),(17,1),(18,1),(19,1),(171,1),(251,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(20,1),(21,1),(106,1),(249,1),(323,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(23,1),(100,1),(113,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1),(51,1)}
        14:{1,3,4,7}:{(7,1),(21,1),(24,1),(25,1),(324,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(27,1),(58,1),(62,1),(100,1)}
        16:{2,4,5,7}:{(8,1),(19,1),(27,1),(28,1),(308,1),(309,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(125,1),(133,1),(232,1)}
        18:{1,3,5,6}:{(10,1),(12,1),(15,1),(29,1),(32,1),(38,1),(82,1),(134,1)}
        19:{1,4,5,7}:{(10,1),(16,1),(30,1),(32,1),(285,1),(286,1)}
        20:{1,2,4,5}:{(11,1),(35,1),(76,1),(224,1),(286,1)}
        21:{1,3,4,6}:{(11,1),(14,1),(35,1),(36,1),(38,1),(290,1),(291,1)}
        22:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(133,1),(146,1),(205,1),(210,1),(226,1),(270,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(32,1),(38,1),(73,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(35,1),(38,1),(39,1)}
        25:{2,3,4,7}:{(14,1),(36,1),(39,1),(40,1),(140,1),(292,1)}
        26:{2,3,5,6,7}:{(15,1),(31,1),(42,1),(81,1),(87,1),(133,1),(270,1),(273,1),(334,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(87,1),(336,1),(337,1)}
        29:{2,3,5,6}:{(17,1),(18,1),(46,1),(58,1),(93,1),(100,1)}
        30:{2,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(266,1),(267,1)}
        31:{1,3,5,6,7}:{(18,1),(22,1),(26,1),(45,1),(49,1),(57,1),(99,1),(112,1),(171,1),(248,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(46,1)}
        33:{1,3,4,5,7}:{(19,1),(24,1),(28,1),(47,1),(50,1),(51,1),(52,1),(99,1),(105,1)}
        34:{1,2,4,5,6}:{(20,1),(23,1),(48,1),(53,1),(54,1),(100,1),(106,1),(170,1),(172,1),(190,1),(236,1),(245,1),(249,1),(252,1)}
        35:{1,3,5}:{(20,1),(21,1),(55,1)}
        36:{2,3,4,6}:{(21,1),(25,1),(55,1),(56,1),(58,1),(106,1),(255,1),(256,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(49,1),(53,1),(57,1),(101,1),(242,1),(262,1),(304,1),(311,1)}
        38:{1,3,6}:{(23,1),(24,1),(58,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(51,1),(55,1),(58,1),(59,1)}
        40:{1,3,4,7}:{(25,1),(56,1),(59,1),(60,1),(179,1),(257,1)}
        41:{2,4,5,6}:{(27,1),(48,1),(61,1),(62,1),(100,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(49,1),(61,1),(63,1),(308,1)}
        43:{3,4,6}:{(27,1),(28,1),(62,1)}
        44:{2,3,4,5,7}:{(28,1),(51,1),(64,1),(65,1),(104,1),(118,1),(165,1),(176,1),(308,1),(309,1),(361,1),(369,1)}
        45:{2,3,5,6,7}:{(29,1),(31,1),(67,1),(81,1),(125,1),(133,1),(226,1),(229,1),(298,1)}
        46:{2,4,6}:{(29,1),(30,1),(32,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(125,1),(300,1),(301,1)}
        48:{1,4,5,6}:{(32,1),(41,1),(66,1),(70,1),(71,1),(134,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(42,1),(67,1),(70,1),(285,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(38,1),(43,1),(68,1),(71,1),(73,1)}
        51:{2,4,5,7}:{(33,1),(39,1),(73,1),(74,1),(76,1),(133,1),(140,1)}
        52:{1,3,4,5}:{(35,1),(75,1),(76,1),(286,1),(301,1),(337,1)}
        53:{1,2,4,5,7}:{(34,1),(37,1),(70,1),(77,1),(133,1),(140,1),(208,1),(210,1),(227,1),(271,1),(281,1),(285,1),(289,1)}
        54:{1,3,5,6}:{(34,1),(35,1),(38,1),(75,1),(77,1),(78,1),(228,1),(272,1),(290,1)}
        55:{2,3,5}:{(35,1),(36,1),(76,1),(79,1)}
        56:{1,3,4,6}:{(36,1),(40,1),(79,1),(80,1),(82,1),(141,1),(219,1),(220,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(77,1),(81,1),(298,1),(334,1)}
        58:{2,3,6}:{(38,1),(39,1),(73,1),(82,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(74,1),(79,1),(82,1),(83,1)}
        60:{1,2,4,7}:{(40,1),(80,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(70,1),(87,1),(133,1)}
        62:{3,5,6}:{(41,1),(43,1),(87,1)}
        63:{3,4,6,7}:{(42,1),(43,1),(87,1),(334,1),(336,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(73,1),(88,1),(90,1),(202,1),(274,1),(378,1),(383,1)}
        65:{1,3,4,5,7}:{(44,1),(74,1),(90,1),(91,1),(137,1),(139,1),(153,1),(215,1),(285,1),(286,1),(300,1),(301,1),(382,1)}
        66:{2,4,5,6}:{(46,1),(48,1),(92,1),(93,1),(100,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(49,1),(92,1),(94,1),(266,1)}
        68:{3,4,6}:{(46,1),(47,1),(93,1)}
        69:{2,3,4,5,7}:{(47,1),(51,1),(95,1),(96,1),(104,1),(122,1),(161,1),(176,1),(266,1),(267,1),(332,1),(369,1)}
        70:{1,4,5,7}:{(48,1),(49,1),(61,1),(92,1),(99,1),(171,1)}
        71:{1,3,5,6}:{(48,1),(50,1),(62,1),(93,1),(99,1),(100,1)}
        72:{1,3,4,6,7}:{(49,1),(50,1),(57,1),(63,1),(94,1),(99,1),(101,1),(105,1)}
        73:{2,4,6}:{(50,1),(51,1),(58,1),(100,1),(102,1)}
        74:{1,4,5,7}:{(51,1),(59,1),(102,1),(107,1),(171,1),(179,1)}
        75:{1,3,4,6}:{(52,1),(54,1),(105,1),(106,1),(249,1),(265,1),(307,1)}
        76:{2,4,5}:{(52,1),(55,1),(106,1),(107,1)}
        77:{1,3,5,7}:{(53,1),(54,1),(57,1),(105,1),(108,1),(264,1),(306,1),(324,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(58,1),(100,1),(106,1),(108,1),(109,1),(245,1),(255,1)}
        79:{1,3,5}:{(55,1),(56,1),(107,1),(110,1)}
        80:{1,2,4,6}:{(56,1),(60,1),(110,1),(111,1),(113,1),(184,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(101,1),(108,1),(112,1),(311,1)}
        82:{1,3,6}:{(58,1),(59,1),(102,1),(113,1)}
        83:{1,2,5,7}:{(59,1),(60,1),(110,1),(113,1)}
        84:{1,2,3,7}:{(60,1),(111,1),(257,1)}
        85:{2,4,5,6,7}:{(61,1),(97,1),(115,1),(167,1),(187,1),(304,1),(360,1)}
        86:{3,4,5,6}:{(62,1),(116,1),(117,1),(307,1),(386,1)}
        87:{3,5,7}:{(61,1),(62,1),(63,1)}
        88:{2,3,5,6}:{(62,1),(64,1),(100,1),(117,1),(118,1),(119,1),(386,1),(388,1)}
        89:{2,3,4,6,7}:{(63,1),(64,1),(101,1),(118,1),(120,1),(176,1),(187,1),(239,1),(241,1),(308,1),(359,1),(364,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(102,1),(119,1),(121,1),(174,1),(249,1),(265,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(178,1),(191,1),(254,1),(266,1),(267,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(70,1),(125,1),(133,1)}
        93:{3,5,6}:{(66,1),(68,1),(125,1)}
        94:{3,4,6,7}:{(67,1),(68,1),(125,1),(298,1),(300,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(73,1),(126,1),(128,1),(156,1),(230,1),(358,1),(383,1)}
        96:{1,3,4,5,7}:{(69,1),(74,1),(128,1),(129,1),(137,1),(139,1),(199,1),(215,1),(285,1),(286,1),(336,1),(337,1),(382,1)}
        97:{1,4,5,6,7}:{(70,1),(85,1),(123,1),(130,1),(205,1),(225,1),(269,1),(343,1)}
        98:{1,3,4,5,6}:{(71,1),(75,1),(86,1),(124,1),(131,1),(132,1),(152,1),(198,1),(207,1),(228,1),(272,1),(284,1),(381,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(72,1),(87,1),(125,1),(133,1)}
       100:{2,5,6}:{(71,1),(73,1),(133,1),(134,1)}
       101:{2,4,6,7}:{(72,1),(73,1),(81,1),(133,1),(135,1),(140,1)}
       102:{1,4,6}:{(73,1),(74,1),(82,1),(134,1)}
       103:{1,2,4,5,7}:{(74,1),(83,1),(91,1),(129,1),(136,1),(137,1),(142,1),(148,1),(210,1),(214,1),(218,1),(224,1),(285,1),(286,1),(289,1),(382,1),(384,1)}
       104:{2,3,4,5}:{(76,1),(138,1),(139,1),(217,1),(301,1),(337,1),(347,1)}
       105:{1,3,4,7}:{(75,1),(77,1),(140,1),(285,1),(300,1),(336,1)}
       106:{2,4,6}:{(75,1),(76,1),(78,1),(140,1),(141,1)}
       107:{1,4,5}:{(76,1),(79,1),(141,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(81,1),(133,1),(140,1),(143,1),(281,1),(292,1)}
       109:{1,3,5,6}:{(78,1),(79,1),(82,1),(134,1),(141,1),(143,1),(144,1),(219,1)}
       110:{1,2,5}:{(79,1),(80,1)}
       111:{1,2,3,6}:{(80,1),(84,1),(145,1),(219,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(135,1),(143,1),(146,1)}
       113:{1,2,6}:{(82,1),(83,1)}
       114:{1,2,3,5,7}:{(83,1),(84,1),(137,1),(145,1),(147,1),(148,1),(224,1),(288,1),(350,1),(384,1)}
       115:{3,5,6,7}:{(85,1),(87,1),(149,1),(334,1),(376,1)}
       116:{3,4,5,7}:{(86,1),(87,1),(149,1),(151,1),(336,1),(376,1)}
       117:{2,4,5,6}:{(86,1),(88,1),(151,1),(152,1),(274,1)}
       118:{2,3,5,7}:{(87,1),(88,1),(89,1),(133,1),(151,1),(153,1),(376,1),(380,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(134,1),(152,1),(153,1),(154,1),(228,1),(391,1)}
       120:{1,3,4,6,7}:{(89,1),(90,1),(135,1),(153,1),(155,1),(212,1),(215,1),(225,1),(277,1),(285,1),(298,1),(300,1),(379,1)}
       121:{2,4,6}:{(90,1),(91,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(137,1),(156,1),(157,1),(217,1),(232,1),(292,1)}
       123:{2,4,5,6,7}:{(92,1),(97,1),(158,1),(167,1),(233,1),(262,1),(331,1)}
       124:{3,4,5,6}:{(93,1),(159,1),(160,1),(265,1),(375,1)}
       125:{3,5,7}:{(92,1),(93,1),(94,1)}
       126:{2,3,5,6}:{(93,1),(95,1),(100,1),(160,1),(161,1),(162,1),(375,1),(388,1)}
       127:{2,3,4,6,7}:{(94,1),(95,1),(101,1),(161,1),(163,1),(176,1),(193,1),(233,1),(241,1),(266,1),(330,1),(364,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(102,1),(162,1),(164,1),(174,1),(249,1),(307,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(178,1),(237,1),(254,1),(308,1),(309,1)}
       130:{1,3,5,6,7}:{(97,1),(99,1),(115,1),(158,1),(166,1),(167,1),(365,1)}
       131:{1,3,4,5,7}:{(98,1),(99,1),(105,1),(116,1),(159,1),(166,1),(169,1),(189,1),(235,1),(244,1),(264,1),(306,1),(318,1),(365,1)}
       132:{2,4,5,6}:{(98,1),(100,1),(106,1),(168,1),(169,1),(170,1),(245,1),(317,1),(388,1)}
       133:{2,5,7}:{(99,1),(100,1),(101,1),(171,1)}
       134:{1,5,6}:{(100,1),(102,1),(171,1)}
       135:{1,4,6,7}:{(101,1),(102,1),(112,1),(171,1),(179,1)}
       136:{1,2,4,6}:{(102,1),(103,1),(113,1),(121,1),(164,1),(172,1),(174,1),(249,1),(389,1),(390,1)}
       137:{1,3,5,7}:{(103,1),(122,1),(165,1),(174,1),(175,1),(181,1),(251,1),(253,1),(257,1),(324,1)}
       138:{2,3,4,6}:{(104,1),(106,1),(168,1),(176,1),(177,1),(255,1),(265,1),(307,1),(317,1)}
       139:{1,3,4,5}:{(104,1),(107,1),(177,1),(178,1),(181,1),(253,1),(368,1)}
       140:{2,4,7}:{(105,1),(106,1),(108,1),(179,1)}
       141:{1,4,6}:{(106,1),(107,1),(109,1),(179,1)}
       142:{1,2,4,5}:{(107,1),(110,1),(178,1),(180,1),(181,1),(184,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(112,1),(171,1),(179,1),(182,1),(257,1)}
       144:{1,2,5,6}:{(109,1),(110,1),(113,1),(180,1),(182,1),(245,1)}
       145:{1,2,3,5}:{(110,1),(111,1),(181,1),(184,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(182,1),(311,1)}
       147:{1,2,3,6}:{(113,1),(114,1),(174,1),(186,1),(390,1)}
       148:{1,2,4,7}:{(114,1),(175,1),(184,1),(186,1),(323,1)}
       149:{3,4,6,7}:{(115,1),(116,1),(187,1)}
       150:{2,3,5,6,7}:{(115,1),(118,1),(167,1),(187,1),(188,1),(241,1)}
       151:{2,4,5,7}:{(116,1),(117,1),(118,1),(187,1),(189,1),(308,1)}
       152:{1,4,5,6}:{(117,1),(119,1),(189,1),(190,1),(249,1)}
       153:{1,3,5,7}:{(118,1),(119,1),(120,1),(171,1),(189,1),(191,1),(264,1),(387,1)}
       154:{2,5,6}:{(119,1),(121,1),(191,1)}
       155:{2,4,6,7}:{(120,1),(121,1),(191,1),(193,1),(254,1),(266,1),(311,1)}
       156:{2,3,6}:{(121,1),(122,1),(174,1)}
       157:{2,3,4,7}:{(122,1),(175,1),(194,1),(256,1),(266,1)}
       158:{3,5,6,7}:{(123,1),(125,1),(195,1),(298,1),(356,1)}
       159:{3,4,5,7}:{(124,1),(125,1),(195,1),(197,1),(300,1),(356,1)}
       160:{2,4,5,6}:{(124,1),(126,1),(197,1),(198,1),(230,1)}
       161:{2,3,5,7}:{(125,1),(126,1),(127,1),(133,1),(197,1),(199,1),(356,1),(380,1)}
       162:{1,3,5,6}:{(126,1),(128,1),(134,1),(198,1),(199,1),(200,1),(272,1),(391,1)}
       163:{1,3,4,6,7}:{(127,1),(128,1),(135,1),(199,1),(201,1),(212,1),(215,1),(269,1),(277,1),(285,1),(334,1),(336,1),(379,1)}
       164:{2,4,6}:{(128,1),(129,1),(200,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(137,1),(202,1),(203,1),(217,1),(276,1),(292,1)}
       166:{1,3,4,6,7}:{(130,1),(131,1),(149,1),(195,1),(204,1),(225,1),(269,1),(277,1),(298,1),(334,1)}
       167:{2,5,6,7}:{(130,1),(133,1),(204,1),(205,1),(380,1)}
       168:{2,3,5,6}:{(132,1),(138,1),(206,1),(207,1),(228,1),(272,1)}
       169:{2,4,5,7}:{(131,1),(132,1),(133,1),(140,1),(204,1),(206,1),(208,1),(281,1),(346,1),(380,1)}
       170:{1,4,5,6}:{(132,1),(134,1),(141,1),(207,1),(208,1),(345,1),(391,1)}
       171:{1,5,7}:{(133,1),(134,1),(135,1)}
       172:{1,2,5,6}:{(134,1),(136,1),(154,1),(200,1),(210,1),(211,1),(224,1),(391,1)}
       173:{1,2,4,6,7}:{(135,1),(136,1),(146,1),(155,1),(201,1),(210,1),(212,1),(218,1),(285,1),(289,1),(340,1),(379,1)}
       174:{1,3,6}:{(136,1),(137,1),(156,1),(202,1)}
       175:{1,3,4,7}:{(137,1),(148,1),(157,1),(203,1),(213,1),(220,1),(285,1),(291,1)}
       176:{2,3,4,7}:{(138,1),(140,1),(206,1),(215,1),(292,1),(300,1),(336,1),(346,1)}
       177:{1,3,4,6}:{(138,1),(139,1),(141,1),(207,1),(215,1),(216,1),(219,1),(290,1),(345,1)}
       178:{2,4,5}:{(139,1),(216,1),(217,1)}
       179:{1,4,7}:{(140,1),(141,1),(143,1)}
       180:{1,2,4,6}:{(141,1),(142,1),(144,1),(216,1),(218,1),(219,1)}
       181:{1,3,5}:{(142,1),(217,1),(219,1),(220,1)}
       182:{1,2,5,7}:{(143,1),(144,1),(146,1),(218,1),(281,1)}
       183:{1,2,3,5,6}:{(144,1),(145,1),(147,1),(211,1),(219,1),(221,1),(222,1),(224,1),(282,1),(295,1),(297,1),(355,1)}
       184:{1,2,4}:{(145,1),(220,1)}
       185:{1,2,3,6,7}:{(146,1),(147,1),(212,1),(221,1),(223,1),(341,1),(350,1),(355,1)}
       186:{1,2,4,6}:{(147,1),(148,1),(213,1),(224,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(151,1),(225,1)}
       188:{1,3,5,6,7}:{(150,1),(153,1),(205,1),(225,1),(226,1),(277,1),(298,1)}
       189:{1,4,5,7}:{(151,1),(152,1),(153,1),(225,1),(227,1),(285,1)}
       190:{2,4,5,6}:{(152,1),(154,1),(227,1),(228,1),(230,1)}
       191:{2,5,7}:{(153,1),(154,1),(155,1)}
       192:{2,3,5,6}:{(154,1),(156,1),(211,1),(228,1),(229,1),(230,1),(232,1)}
       193:{2,3,6,7}:{(155,1),(156,1),(212,1),(229,1),(292,1),(298,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(213,1),(230,1),(232,1)}
       195:{3,4,6,7}:{(158,1),(159,1),(233,1)}
       196:{2,3,5,6,7}:{(158,1),(161,1),(167,1),(233,1),(234,1),(241,1)}
       197:{2,4,5,7}:{(159,1),(160,1),(161,1),(233,1),(235,1),(266,1)}
       198:{1,4,5,6}:{(160,1),(162,1),(235,1),(236,1),(249,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(163,1),(171,1),(235,1),(237,1),(306,1),(387,1)}
       200:{2,5,6}:{(162,1),(164,1),(237,1)}
       201:{2,4,6,7}:{(163,1),(164,1),(237,1),(239,1),(254,1),(308,1),(311,1)}
       202:{2,3,6}:{(164,1),(165,1),(174,1)}
       203:{2,3,4,7}:{(165,1),(175,1),(240,1),(256,1),(308,1)}
       204:{2,4,6,7}:{(166,1),(167,1),(169,1),(241,1),(242,1),(311,1)}
       205:{1,5,6,7}:{(167,1),(171,1),(242,1),(387,1)}
       206:{2,3,5,7}:{(168,1),(169,1),(176,1),(241,1),(244,1),(264,1),(306,1)}
       207:{1,3,5,6}:{(168,1),(170,1),(177,1),(244,1),(245,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(242,1),(244,1),(367,1),(387,1)}
       209:{1,2,4,5,6}:{(170,1),(172,1),(180,1),(190,1),(236,1),(245,1),(246,1),(247,1),(249,1),(260,1),(317,1),(329,1),(366,1),(388,1)}
       210:{1,2,5,7}:{(171,1),(172,1),(173,1),(191,1),(237,1),(248,1),(387,1)}
       211:{1,3,5,6}:{(172,1),(174,1),(192,1),(238,1),(248,1),(249,1),(251,1)}
       212:{1,3,6,7}:{(173,1),(174,1),(193,1),(239,1),(248,1),(257,1),(324,1)}
       213:{1,3,4,6}:{(174,1),(175,1),(186,1),(194,1),(240,1),(249,1),(251,1)}
       214:{1,2,4,5}:{(178,1),(252,1),(253,1),(323,1),(368,1),(372,1)}
       215:{1,3,4,7}:{(176,1),(177,1),(179,1),(244,1),(254,1),(257,1),(324,1),(367,1)}
       216:{2,4,6}:{(177,1),(178,1),(245,1),(254,1),(255,1)}
       217:{2,3,5}:{(178,1),(181,1),(253,1),(255,1),(256,1)}
       218:{1,2,4,7}:{(179,1),(180,1),(182,1),(254,1),(257,1)}
       219:{1,3,6}:{(180,1),(181,1),(255,1),(257,1)}
       220:{1,3,4}:{(181,1),(184,1),(256,1)}
       221:{1,2,3,5,7}:{(182,1),(183,1),(185,1),(248,1),(257,1),(259,1),(261,1),(316,1),(328,1)}
       222:{1,2,4,6}:{(183,1),(184,1),(249,1),(258,1),(259,1),(260,1),(317,1)}
       223:{1,2,4,6,7}:{(185,1),(186,1),(250,1),(259,1),(261,1),(329,1),(364,1),(371,1),(390,1)}
       224:{1,2,5}:{(186,1),(251,1)}
       225:{1,4,6,7}:{(187,1),(188,1),(189,1),(262,1)}
       226:{2,5,6,7}:{(188,1),(191,1),(262,1),(311,1)}
       227:{2,4,5,7}:{(189,1),(190,1),(191,1),(262,1),(264,1),(266,1)}
       228:{3,5,6}:{(190,1),(264,1),(265,1)}
       229:{2,3,5,7}:{(191,1),(192,1),(193,1),(248,1),(264,1),(266,1)}
       230:{2,4,6}:{(192,1),(249,1),(265,1),(266,1),(267,1)}
       231:{2,3,4,6,7}:{(193,1),(194,1),(250,1),(266,1),(268,1),(326,1),(330,1),(333,1),(364,1),(374,1)}
       232:{2,3,5}:{(194,1),(251,1),(267,1)}
       233:{2,4,6,7}:{(195,1),(196,1),(197,1),(269,1)}
       234:{1,3,5,6,7}:{(196,1),(199,1),(205,1),(269,1),(270,1),(277,1),(334,1)}
       235:{1,4,5,7}:{(197,1),(198,1),(199,1),(269,1),(271,1),(285,1)}
       236:{2,4,5,6}:{(198,1),(200,1),(271,1),(272,1),(274,1)}
       237:{2,5,7}:{(199,1),(200,1),(201,1)}
       238:{2,3,5,6}:{(200,1),(202,1),(211,1),(272,1),(273,1),(274,1),(276,1)}
       239:{2,3,6,7}:{(201,1),(202,1),(212,1),(273,1),(292,1),(334,1)}
       240:{2,3,4,6}:{(202,1),(203,1),(213,1),(274,1),(276,1)}
       241:{2,3,6,7}:{(204,1),(206,1),(277,1),(298,1),(334,1)}
       242:{1,4,6,7}:{(204,1),(205,1),(208,1),(277,1)}
       243:{1,2,5,6,7}:{(205,1),(210,1),(226,1),(270,1),(278,1),(279,1),(297,1),(340,1),(380,1)}
       244:{1,3,5,7}:{(206,1),(207,1),(208,1),(215,1),(277,1),(281,1)}
       245:{2,5,6}:{(207,1),(216,1),(281,1)}
       246:{1,2,4,5,7}:{(208,1),(209,1),(210,1),(218,1),(227,1),(271,1),(278,1),(281,1),(283,1),(285,1),(343,1),(346,1),(380,1)}
       247:{1,3,5,6}:{(209,1),(219,1),(228,1),(272,1),(282,1),(283,1),(284,1),(295,1),(355,1)}
       248:{1,3,5,7}:{(210,1),(211,1),(212,1),(229,1),(273,1),(285,1)}
       249:{1,4,6}:{(211,1),(230,1),(274,1),(285,1),(286,1)}
       250:{1,3,4,6,7}:{(212,1),(213,1),(223,1),(231,1),(275,1),(285,1),(287,1),(294,1),(349,1),(352,1),(355,1),(379,1),(385,1)}
       251:{1,3,5}:{(213,1),(224,1),(232,1),(276,1),(286,1)}
       252:{1,2,4,6}:{(214,1),(216,1),(280,1),(289,1),(290,1),(345,1)}
       253:{1,3,5}:{(214,1),(217,1),(290,1),(291,1)}
       254:{2,4,7}:{(215,1),(216,1),(281,1),(292,1)}
       255:{2,3,6}:{(216,1),(217,1),(219,1),(290,1),(292,1)}
       256:{2,3,4}:{(217,1),(220,1),(291,1)}
       257:{1,3,7}:{(218,1),(219,1),(292,1)}
       258:{1,3,4,6}:{(219,1),(220,1),(222,1),(293,1),(294,1),(295,1),(355,1)}
       259:{1,2,4,7}:{(221,1),(222,1),(285,1),(294,1),(346,1)}
       260:{1,2,4,5}:{(222,1),(224,1),(286,1),(295,1),(347,1)}
       261:{1,2,5,7}:{(223,1),(224,1),(287,1),(297,1),(380,1)}
       262:{2,4,6,7}:{(225,1),(226,1),(227,1),(298,1)}
       263:{2,3,5,6,7}:{(226,1),(229,1),(279,1),(298,1),(299,1),(303,1),(341,1),(356,1),(380,1)}
       264:{3,5,7}:{(227,1),(228,1),(298,1),(300,1)}
       265:{3,4,6}:{(228,1),(230,1),(300,1),(301,1)}
       266:{2,4,7}:{(229,1),(230,1),(285,1),(300,1)}
       267:{2,4,5}:{(230,1),(232,1),(286,1),(301,1)}
       268:{2,3,5,7}:{(231,1),(232,1),(287,1),(302,1),(303,1),(356,1),(380,1)}
       269:{1,4,6,7}:{(233,1),(234,1),(235,1),(304,1)}
       270:{2,5,6,7}:{(234,1),(237,1),(304,1),(311,1)}
       271:{2,4,5,7}:{(235,1),(236,1),(237,1),(304,1),(306,1),(308,1)}
       272:{3,5,6}:{(236,1),(306,1),(307,1)}
       273:{2,3,5,7}:{(237,1),(238,1),(239,1),(248,1),(306,1),(308,1)}
       274:{2,4,6}:{(238,1),(249,1),(307,1),(308,1),(309,1)}
       275:{2,3,4,6,7}:{(239,1),(240,1),(250,1),(308,1),(310,1),(326,1),(359,1),(362,1),(364,1),(374,1)}
       276:{2,3,5}:{(240,1),(251,1),(309,1)}
       277:{1,3,6,7}:{(241,1),(242,1),(244,1),(311,1)}
       278:{1,2,4,6,7}:{(242,1),(243,1),(246,1),(262,1),(304,1),(311,1),(312,1),(313,1),(329,1),(364,1)}
       279:{1,3,5,6,7}:{(243,1),(248,1),(263,1),(305,1),(312,1),(313,1),(321,1),(363,1),(365,1),(387,1)}
       280:{1,2,5,6}:{(245,1),(252,1),(314,1),(315,1),(372,1),(390,1)}
       281:{2,5,7}:{(244,1),(245,1),(254,1),(311,1)}
       282:{2,3,5,6}:{(245,1),(247,1),(255,1),(315,1),(316,1),(317,1),(327,1),(374,1),(388,1)}
       283:{1,3,5,7}:{(246,1),(247,1),(257,1),(264,1),(306,1),(312,1),(316,1),(318,1)}
       284:{1,3,4,6}:{(247,1),(249,1),(265,1),(307,1),(317,1),(318,1),(319,1)}
       285:{1,4,7}:{(248,1),(249,1),(266,1),(308,1)}
       286:{1,4,5}:{(249,1),(251,1),(267,1),(309,1)}
       287:{1,3,5,7}:{(250,1),(251,1),(261,1),(268,1),(310,1),(320,1),(321,1),(387,1)}
       288:{1,2,3,5}:{(253,1),(322,1),(323,1),(372,1)}
       289:{1,2,4,7}:{(252,1),(254,1),(314,1),(324,1),(367,1)}
       290:{1,3,6}:{(252,1),(253,1),(255,1),(324,1)}
       291:{1,3,4}:{(253,1),(256,1),(323,1)}
       292:{2,3,7}:{(254,1),(255,1),(257,1),(324,1)}
       293:{2,3,4,6}:{(255,1),(256,1),(258,1),(317,1),(325,1),(326,1),(327,1),(374,1)}
       294:{1,3,4,7}:{(257,1),(258,1),(259,1),(326,1),(328,1)}
       295:{1,3,5}:{(258,1),(260,1),(327,1)}
       296:{1,2,4,5,7}:{(259,1),(260,1),(261,1),(320,1),(328,1),(329,1),(369,1)}
       297:{1,2,5,6}:{(261,1),(321,1),(329,1),(388,1),(390,1)}
       298:{3,6,7}:{(262,1),(264,1)}
       299:{2,4,6,7}:{(263,1),(266,1),(313,1),(330,1),(331,1),(333,1)}
       300:{3,4,7}:{(264,1),(265,1),(266,1)}
       301:{3,4,5}:{(265,1),(267,1)}
       302:{2,4,5,7}:{(266,1),(267,1),(268,1),(320,1),(332,1),(333,1)}
       303:{2,3,5,6}:{(268,1),(321,1),(333,1),(374,1),(375,1),(388,1)}
       304:{2,4,6,7}:{(269,1),(270,1),(271,1),(334,1)}
       305:{2,3,5,6,7}:{(270,1),(273,1),(279,1),(334,1),(335,1),(339,1),(341,1),(376,1),(380,1)}
       306:{3,5,7}:{(271,1),(272,1),(334,1),(336,1)}
       307:{3,4,6}:{(272,1),(274,1),(336,1),(337,1)}
       308:{2,4,7}:{(273,1),(274,1),(285,1),(336,1)}
       309:{2,4,5}:{(274,1),(276,1),(286,1),(337,1)}
       310:{2,3,5,7}:{(275,1),(276,1),(287,1),(338,1),(339,1),(376,1),(380,1)}
       311:{2,6,7}:{(277,1),(281,1)}
       312:{1,3,6,7}:{(278,1),(283,1),(298,1),(334,1),(341,1),(355,1)}
       313:{1,4,6,7}:{(279,1),(285,1),(299,1),(335,1),(343,1),(349,1)}
       314:{1,2,5,7}:{(280,1),(281,1),(289,1),(340,1),(344,1)}
       315:{1,3,5,6}:{(280,1),(282,1),(290,1),(344,1),(345,1),(353,1),(385,1),(391,1)}
       316:{2,3,5,7}:{(281,1),(282,1),(283,1),(292,1),(341,1),(344,1),(346,1),(380,1)}
       317:{2,4,6}:{(282,1),(284,1),(345,1),(346,1),(347,1)}
       318:{1,3,4,7}:{(283,1),(284,1),(285,1),(300,1),(336,1),(346,1)}
       319:{1,3,4,5}:{(284,1),(286,1),(295,1),(301,1),(337,1),(347,1)}
       320:{1,4,5,7}:{(285,1),(286,1),(287,1),(302,1),(338,1),(349,1)}
       321:{1,3,5,6}:{(287,1),(297,1),(303,1),(339,1),(349,1),(355,1),(385,1),(391,1)}
       322:{1,2,3,6}:{(288,1),(290,1),(350,1),(351,1)}
       323:{1,2,4}:{(288,1),(291,1)}
       324:{1,3,7}:{(289,1),(290,1),(292,1)}
       325:{1,3,4,6}:{(290,1),(291,1),(293,1),(345,1),(351,1),(352,1),(353,1),(385,1)}
       326:{2,3,4,7}:{(292,1),(293,1),(294,1),(346,1),(352,1),(354,1)}
       327:{2,3,5}:{(293,1),(295,1),(347,1),(353,1)}
       328:{1,3,5,7}:{(294,1),(295,1),(296,1),(354,1),(355,1)}
       329:{1,2,4,6}:{(296,1),(297,1),(349,1),(355,1),(383,1)}
       330:{3,4,6,7}:{(298,1),(299,1),(300,1),(356,1),(358,1)}
       331:{2,4,5,7}:{(299,1),(343,1),(356,1),(357,1),(380,1)}
       332:{3,4,5,7}:{(300,1),(301,1),(302,1),(356,1),(358,1)}
       333:{2,4,6}:{(302,1),(303,1),(349,1),(358,1)}
       334:{3,6,7}:{(304,1),(306,1)}
       335:{2,4,6,7}:{(305,1),(308,1),(313,1),(359,1),(360,1),(362,1)}
       336:{3,4,7}:{(306,1),(307,1),(308,1)}
       337:{3,4,5}:{(307,1),(309,1)}
       338:{2,4,5,7}:{(308,1),(309,1),(310,1),(320,1),(361,1),(362,1)}
       339:{2,3,5,6}:{(310,1),(321,1),(362,1),(374,1),(386,1),(388,1)}
       340:{1,2,6,7}:{(311,1),(314,1),(363,1),(390,1)}
       341:{2,3,6,7}:{(311,1),(312,1),(316,1),(363,1),(364,1),(374,1)}
       342:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(330,1),(359,1),(364,1),(365,1),(370,1)}
       343:{1,4,5,7}:{(313,1),(331,1),(360,1),(365,1),(366,1),(387,1)}
       344:{1,3,5,7}:{(314,1),(315,1),(316,1),(324,1),(363,1),(367,1),(387,1)}
       345:{1,4,6}:{(315,1),(317,1),(367,1),(368,1)}
       346:{2,4,7}:{(316,1),(317,1),(318,1),(367,1)}
       347:{2,4,5}:{(317,1),(319,1),(327,1),(368,1)}
       348:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(328,1),(332,1),(361,1),(365,1),(369,1),(370,1)}
       349:{1,4,6}:{(320,1),(321,1),(333,1),(362,1)}
       350:{1,2,3,7}:{(322,1),(324,1),(371,1)}
       351:{1,2,4,6}:{(322,1),(323,1),(325,1),(371,1),(372,1),(390,1)}
       352:{1,3,4,7}:{(324,1),(325,1),(326,1),(367,1),(371,1),(373,1)}
       353:{1,3,5}:{(325,1),(327,1),(368,1),(372,1)}
       354:{2,3,5,7}:{(326,1),(327,1),(328,1),(369,1),(373,1),(374,1)}
       355:{1,3,6}:{(328,1),(329,1),(374,1)}
       356:{3,5,7}:{(330,1),(331,1),(375,1)}
       357:{2,4,5,6}:{(331,1),(333,1),(366,1),(375,1),(388,1)}
       358:{3,4,6}:{(332,1),(333,1),(375,1)}
       359:{3,4,6,7}:{(334,1),(335,1),(336,1),(376,1),(378,1)}
       360:{2,4,5,7}:{(335,1),(343,1),(376,1),(377,1),(380,1)}
       361:{3,4,5,7}:{(336,1),(337,1),(338,1),(376,1),(378,1)}
       362:{2,4,6}:{(338,1),(339,1),(349,1),(378,1)}
       363:{1,3,6,7}:{(340,1),(341,1),(344,1),(379,1),(385,1)}
       364:{2,4,6,7}:{(341,1),(342,1),(346,1),(379,1),(380,1),(383,1)}
       365:{1,3,5,7}:{(342,1),(343,1),(356,1),(376,1),(380,1),(381,1)}
       366:{1,4,5,6}:{(343,1),(349,1),(357,1),(377,1),(381,1),(391,1)}
       367:{1,4,7}:{(344,1),(345,1),(346,1)}
       368:{1,4,5}:{(345,1),(347,1),(353,1)}
       369:{2,4,5,7}:{(346,1),(347,1),(348,1),(354,1),(380,1),(382,1),(383,1)}
       370:{1,3,4,6}:{(348,1),(349,1),(355,1),(358,1),(378,1),(381,1),(383,1)}
       371:{1,2,4,7}:{(350,1),(351,1),(352,1),(384,1)}
       372:{1,2,5}:{(351,1),(353,1)}
       373:{1,3,5,7}:{(352,1),(353,1),(354,1),(382,1),(384,1),(385,1)}
       374:{2,3,6}:{(354,1),(355,1),(383,1),(385,1)}
       375:{3,5,6}:{(356,1),(357,1),(358,1)}
       376:{3,5,7}:{(359,1),(360,1),(386,1)}
       377:{2,4,5,6}:{(360,1),(362,1),(366,1),(386,1),(388,1)}
       378:{3,4,6}:{(361,1),(362,1),(386,1)}
       379:{1,4,6,7}:{(363,1),(364,1),(367,1),(387,1),(389,1)}
       380:{2,5,7}:{(364,1),(365,1),(387,1),(388,1)}
       381:{1,3,5,6}:{(365,1),(366,1),(370,1),(375,1),(386,1),(388,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(369,1),(373,1),(387,1),(389,1)}
       383:{2,4,6}:{(369,1),(370,1),(374,1),(388,1),(389,1)}
       384:{1,2,5,7}:{(371,1),(372,1),(373,1),(390,1)}
       385:{1,3,6}:{(373,1),(374,1),(389,1),(390,1)}
       386:{3,5,6}:{(376,1),(377,1),(378,1)}
       387:{1,5,7}:{(379,1),(380,1),(391,1)}
       388:{2,5,6}:{(380,1),(381,1),(383,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{1,2,6}:{(384,1),(385,1)}
       391:{1,5,6}:{(387,1),(388,1),(389,1)}

2126 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(26,1)}
         2:{1,2,3,7}:{(0,1),(7,1),(68,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(31,1),(64,1)}
         4:{2,3,4,6}:{(6,1),(9,1),(10,1),(25,1),(35,1),(36,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,3,4,6}:{(3,1),(4,1),(11,1),(13,1),(15,1),(16,1),(41,1),(45,1),(48,1),(49,1),(86,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(15,1),(17,1),(87,1)}
         8:{1,2,5}:{(3,1),(16,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(20,1),(56,1),(89,1)}
        10:{2,3,5}:{(4,1),(16,1),(19,1)}
        11:{2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(60,1),(61,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(9,1),(22,1),(29,1),(68,1),(71,1),(107,1)}
        16:{1,3,5}:{(6,1),(8,1),(10,1),(23,1),(28,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(29,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(30,1),(31,1),(32,1),(64,1),(108,1)}
        19:{2,4,5}:{(10,1),(28,1),(33,1),(35,1)}
        20:{2,3,5,7}:{(9,1),(10,1),(29,1),(34,1),(36,1)}
        21:{2,3,5,6}:{(10,1),(30,1),(35,1),(36,1),(37,1),(66,1),(73,1),(77,1),(108,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(39,1),(83,1),(89,1)}
        23:{2,3,5}:{(11,1),(16,1),(38,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(18,1),(45,1),(46,1),(48,1),(88,1)}
        28:{1,4,5}:{(16,1),(19,1),(38,1),(48,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(17,1),(20,1),(39,1),(47,1),(49,1)}
        30:{1,3,5,6}:{(16,1),(18,1),(21,1),(40,1),(45,1),(48,1),(49,1),(50,1),(86,1),(93,1),(122,1)}
        31:{1,2,6}:{(17,1),(49,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(50,1),(51,1),(87,1),(124,1)}
        33:{3,4,5}:{(19,1),(53,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(47,1),(52,1),(55,1),(56,1),(99,1)}
        35:{2,4,6}:{(19,1),(21,1),(48,1),(53,1),(56,1)}
        36:{2,3,6}:{(20,1),(49,1),(55,1)}
        37:{2,3,5,7}:{(21,1),(50,1),(56,1),(57,1),(89,1),(95,1),(99,1),(124,1)}
        38:{2,4,5}:{(23,1),(28,1),(58,1),(60,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(29,1),(59,1),(61,1)}
        40:{2,3,5,6}:{(23,1),(30,1),(60,1),(61,1),(62,1),(66,1),(100,1),(104,1),(108,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(28,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(32,1),(68,1),(71,1),(109,1)}
        47:{1,4,5,7}:{(28,1),(29,1),(34,1),(59,1),(70,1),(71,1),(112,1)}
        48:{1,4,6}:{(28,1),(30,1),(35,1),(60,1),(71,1)}
        49:{1,3,6}:{(29,1),(31,1),(36,1),(61,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(37,1),(62,1),(68,1),(71,1),(72,1),(107,1),(112,1),(133,1)}
        51:{1,2,6,7}:{(31,1),(32,1),(72,1),(134,1)}
        52:{3,4,5,7}:{(33,1),(34,1),(74,1),(75,1),(115,1)}
        53:{3,4,6}:{(33,1),(35,1),(73,1),(75,1)}
        54:{2,4,5,6}:{(35,1),(69,1),(73,1),(76,1),(77,1),(108,1),(114,1)}
        55:{2,4,6}:{(34,1),(36,1),(70,1),(74,1),(77,1)}
        56:{2,4,7}:{(35,1),(37,1),(71,1),(75,1)}
        57:{2,3,6,7}:{(36,1),(37,1),(72,1),(78,1),(113,1),(134,1)}
        58:{3,4,5}:{(38,1),(80,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(47,1),(79,1),(82,1),(83,1),(121,1)}
        60:{2,4,6}:{(38,1),(40,1),(48,1),(80,1),(83,1)}
        61:{2,3,6}:{(39,1),(49,1),(82,1)}
        62:{2,3,5,7}:{(40,1),(50,1),(83,1),(84,1),(89,1),(117,1),(121,1),(124,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(48,1),(53,1),(80,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,5,6}:{(48,1),(54,1),(81,1),(90,1),(92,1),(93,1),(122,1)}
        70:{1,4,6}:{(47,1),(49,1),(55,1),(82,1),(93,1)}
        71:{1,4,7}:{(48,1),(50,1),(56,1),(83,1)}
        72:{1,3,6,7}:{(49,1),(50,1),(51,1),(57,1),(84,1),(94,1),(138,1)}
        73:{3,5,6}:{(53,1),(54,1),(95,1)}
        74:{3,4,6}:{(52,1),(55,1),(96,1)}
        75:{3,4,7}:{(53,1),(56,1),(95,1)}
        76:{2,4,5,7}:{(54,1),(56,1),(92,1),(95,1),(98,1),(99,1),(124,1),(128,1)}
        77:{2,5,6}:{(55,1),(93,1),(96,1),(99,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(57,1),(94,1),(97,1),(99,1)}
        79:{3,4,5,7}:{(58,1),(59,1),(101,1),(102,1),(131,1)}
        80:{3,4,6}:{(58,1),(60,1),(100,1),(102,1)}
        81:{2,4,5,6}:{(60,1),(69,1),(100,1),(103,1),(104,1),(108,1),(130,1)}
        82:{2,4,6}:{(59,1),(61,1),(70,1),(101,1),(104,1)}
        83:{2,4,7}:{(60,1),(62,1),(71,1),(102,1)}
        84:{2,3,6,7}:{(61,1),(62,1),(72,1),(105,1),(129,1),(134,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(69,1),(73,1),(100,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(71,1),(75,1),(102,1),(109,1),(110,1)}
        92:{1,4,5,7}:{(69,1),(71,1),(76,1),(103,1),(110,1),(111,1),(112,1),(133,1)}
        93:{1,5,6}:{(70,1),(77,1),(104,1),(112,1)}
        94:{1,4,6,7}:{(70,1),(71,1),(72,1),(78,1),(105,1),(112,1)}
        95:{3,5,7}:{(73,1),(75,1),(76,1),(113,1)}
        96:{3,5,6}:{(74,1),(77,1),(114,1),(115,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(78,1),(113,1),(115,1),(135,1)}
        98:{2,4,6,7}:{(76,1),(111,1),(113,1),(116,1),(134,1),(135,1)}
        99:{2,5,7}:{(77,1),(78,1),(112,1),(115,1)}
       100:{3,5,6}:{(80,1),(81,1),(117,1)}
       101:{3,4,6}:{(79,1),(82,1),(118,1)}
       102:{3,4,7}:{(80,1),(83,1),(117,1)}
       103:{2,4,5,7}:{(81,1),(83,1),(92,1),(117,1),(120,1),(121,1),(124,1),(137,1)}
       104:{2,5,6}:{(82,1),(93,1),(118,1),(121,1)}
       105:{2,4,6,7}:{(82,1),(83,1),(84,1),(94,1),(119,1),(121,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(92,1),(95,1),(117,1),(124,1),(125,1)}
       111:{1,4,6,7}:{(92,1),(98,1),(120,1),(125,1),(126,1),(138,1)}
       112:{1,5,7}:{(93,1),(94,1),(99,1),(121,1)}
       113:{3,6,7}:{(95,1),(98,1)}
       114:{4,5,6}:{(96,1),(128,1)}
       115:{3,5,7}:{(96,1),(97,1),(99,1),(128,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(127,1)}
       117:{3,5,7}:{(100,1),(102,1),(103,1),(129,1)}
       118:{3,5,6}:{(101,1),(104,1),(130,1),(131,1)}
       119:{3,4,6,7}:{(101,1),(102,1),(105,1),(129,1),(131,1),(139,1)}
       120:{2,4,6,7}:{(103,1),(111,1),(129,1),(132,1),(134,1),(139,1)}
       121:{2,5,7}:{(104,1),(105,1),(112,1),(131,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(111,1),(113,1),(129,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{3,5,6,7}:{(113,1),(115,1),(116,1),(135,1)}
       128:{4,5,7}:{(114,1),(115,1),(135,1)}
       129:{3,6,7}:{(117,1),(120,1)}
       130:{4,5,6}:{(118,1),(137,1)}
       131:{3,5,7}:{(118,1),(119,1),(121,1),(137,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(136,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,5,6,7}:{(129,1),(131,1),(132,1),(139,1)}
       137:{4,5,7}:{(130,1),(131,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

2127 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(64,1),(67,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(72,1),(109,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(11,1),(12,1),(13,1),(85,1),(89,1),(124,1)}
         5:{1,2,3,5}:{(1,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(86,1),(123,1)}
         7:{1,2,5,7}:{(2,1),(13,1),(15,1),(16,1)}
         8:{2,3,4,6}:{(3,1),(12,1),(18,1),(19,1),(43,1),(50,1),(88,1)}
         9:{2,3,5,7}:{(3,1),(13,1),(17,1),(18,1),(19,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(49,1),(53,1),(93,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(100,1),(109,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(62,1),(65,1),(67,1),(108,1)}
        13:{1,3,5,7}:{(4,1),(7,1),(9,1),(22,1),(23,1),(24,1),(25,1)}
        14:{1,2,4}:{(5,1),(26,1)}
        15:{1,2,5}:{(6,1),(24,1)}
        16:{1,2,6}:{(7,1),(25,1)}
        17:{2,4,5,7}:{(9,1),(10,1),(23,1),(30,1),(31,1),(70,1),(72,1)}
        18:{2,3,5}:{(8,1),(24,1),(31,1)}
        19:{2,3,6}:{(9,1),(25,1),(30,1)}
        20:{3,4,6}:{(10,1),(30,1),(34,1)}
        21:{2,3,4,6}:{(11,1),(12,1),(37,1),(38,1),(43,1),(79,1),(88,1)}
        22:{2,3,5,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        23:{1,4,5,7}:{(13,1),(17,1),(36,1),(39,1),(40,1),(82,1),(85,1)}
        24:{1,3,5}:{(12,1),(15,1),(18,1),(37,1),(40,1)}
        25:{1,3,6}:{(13,1),(16,1),(19,1),(38,1),(39,1)}
        26:{1,3,4}:{(14,1),(43,1),(44,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(44,1),(45,1),(83,1)}
        28:{1,2,5,6}:{(15,1),(16,1),(41,1),(45,1),(46,1),(119,1),(123,1)}
        29:{1,2,6,7}:{(16,1),(42,1),(46,1),(137,1)}
        30:{2,4,6}:{(17,1),(19,1),(20,1),(39,1),(47,1)}
        31:{2,4,5}:{(18,1),(40,1),(49,1),(50,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(47,1),(50,1),(51,1),(88,1),(91,1),(119,1)}
        33:{2,3,6,7}:{(19,1),(42,1),(48,1),(51,1),(125,1),(137,1)}
        34:{3,5,6}:{(20,1),(47,1),(52,1),(53,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(53,1),(93,1),(94,1),(125,1)}
        36:{2,4,5,7}:{(22,1),(23,1),(54,1),(55,1),(56,1),(98,1),(100,1)}
        37:{2,3,5}:{(21,1),(24,1),(56,1)}
        38:{2,3,6}:{(22,1),(25,1),(55,1)}
        39:{1,4,6}:{(23,1),(25,1),(30,1),(55,1),(59,1)}
        40:{1,4,5}:{(24,1),(31,1),(56,1),(62,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(28,1),(32,1),(57,1),(59,1),(62,1),(63,1),(67,1),(108,1),(131,1)}
        42:{1,3,6,7}:{(25,1),(29,1),(33,1),(58,1),(60,1),(63,1),(139,1)}
        43:{2,3,4}:{(26,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(66,1),(67,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(63,1),(68,1),(132,1),(134,1)}
        47:{2,5,6}:{(30,1),(34,1),(59,1),(70,1)}
        48:{2,4,6,7}:{(30,1),(33,1),(35,1),(60,1),(70,1),(72,1)}
        49:{3,4,5}:{(31,1),(71,1)}
        50:{2,4,6}:{(31,1),(32,1),(62,1),(71,1),(72,1)}
        51:{2,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(109,1),(111,1),(132,1)}
        52:{4,5,6}:{(34,1),(74,1)}
        53:{3,5,7}:{(34,1),(35,1),(70,1),(74,1)}
        54:{3,4,5,7}:{(36,1),(75,1),(78,1),(113,1),(117,1)}
        55:{2,4,6}:{(36,1),(38,1),(39,1),(75,1),(76,1)}
        56:{2,4,5}:{(37,1),(40,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(88,1),(115,1),(119,1)}
        58:{2,3,6,7}:{(38,1),(42,1),(77,1),(80,1),(136,1),(137,1)}
        59:{1,5,6}:{(39,1),(47,1),(76,1),(82,1)}
        60:{1,4,6,7}:{(39,1),(42,1),(48,1),(77,1),(82,1),(85,1)}
        61:{1,3,4,5}:{(40,1),(44,1),(49,1),(78,1),(83,1),(84,1)}
        62:{1,4,6}:{(40,1),(41,1),(50,1),(79,1),(85,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(46,1),(51,1),(80,1),(82,1),(85,1),(89,1),(124,1),(138,1)}
        64:{1,2,3}:{(86,1)}
        65:{1,3,4}:{(43,1),(86,1),(87,1)}
        66:{2,3,5}:{(43,1),(44,1),(83,1),(87,1),(88,1)}
        67:{1,3,6}:{(44,1),(45,1),(88,1),(89,1)}
        68:{1,2,4,7}:{(45,1),(46,1),(85,1),(89,1),(122,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(52,1),(81,1),(91,1),(92,1),(119,1)}
        70:{2,5,7}:{(47,1),(48,1),(53,1),(82,1)}
        71:{3,4,6}:{(49,1),(50,1),(91,1),(93,1)}
        72:{2,4,7}:{(50,1),(51,1),(85,1),(93,1)}
        73:{3,5,6,7}:{(53,1),(90,1),(94,1),(125,1)}
        74:{4,5,7}:{(52,1),(53,1),(94,1)}
        75:{3,4,6}:{(54,1),(55,1),(95,1)}
        76:{2,5,6}:{(55,1),(59,1),(95,1),(98,1)}
        77:{2,4,6,7}:{(55,1),(58,1),(60,1),(96,1),(98,1),(100,1)}
        78:{3,4,5}:{(56,1),(99,1)}
        79:{2,4,6}:{(56,1),(57,1),(62,1),(99,1),(100,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(109,1),(129,1),(132,1)}
        81:{1,4,5,6}:{(59,1),(62,1),(69,1),(97,1),(102,1),(103,1),(131,1)}
        82:{1,5,7}:{(59,1),(60,1),(70,1),(98,1)}
        83:{2,4,5}:{(61,1),(66,1),(104,1),(105,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(67,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        85:{1,4,7}:{(62,1),(63,1),(72,1),(100,1)}
        86:{1,2,4}:{(64,1),(65,1),(107,1)}
        87:{1,3,5}:{(65,1),(66,1),(104,1),(107,1),(108,1)}
        88:{2,3,6}:{(66,1),(67,1),(105,1),(108,1),(109,1)}
        89:{1,3,7}:{(67,1),(68,1),(109,1)}
        90:{2,5,6,7}:{(70,1),(73,1),(101,1),(110,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(72,1),(74,1),(103,1),(110,1),(111,1),(132,1)}
        93:{3,4,7}:{(71,1),(72,1),(111,1)}
        94:{4,6,7}:{(73,1),(74,1)}
        95:{3,5,6}:{(75,1),(76,1),(112,1),(113,1)}
        96:{3,4,6,7}:{(75,1),(77,1),(113,1),(117,1),(135,1),(136,1)}
        97:{2,4,5,6}:{(76,1),(79,1),(81,1),(112,1),(115,1),(116,1),(119,1)}
        98:{2,5,7}:{(76,1),(77,1),(82,1),(113,1)}
        99:{3,4,6}:{(78,1),(79,1),(115,1),(117,1)}
       100:{2,4,7}:{(79,1),(80,1),(85,1),(117,1)}
       101:{1,5,6,7}:{(82,1),(90,1),(114,1),(118,1)}
       102:{1,3,5,6}:{(81,1),(84,1),(91,1),(115,1),(119,1),(120,1)}
       103:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(116,1),(118,1),(120,1),(138,1)}
       104:{1,4,5}:{(83,1),(87,1),(121,1)}
       105:{2,4,6}:{(83,1),(84,1),(88,1),(119,1),(121,1),(122,1)}
       106:{1,3,4,7}:{(84,1),(85,1),(89,1),(93,1),(117,1),(120,1),(122,1)}
       107:{1,2,5}:{(86,1),(87,1),(123,1)}
       108:{1,3,6}:{(87,1),(88,1),(121,1),(123,1),(124,1)}
       109:{2,3,7}:{(88,1),(89,1),(122,1),(124,1)}
       110:{2,4,6,7}:{(90,1),(92,1),(94,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       112:{4,5,6}:{(95,1),(127,1)}
       113:{3,5,7}:{(95,1),(96,1),(98,1),(127,1)}
       114:{2,5,6,7}:{(98,1),(101,1),(126,1),(128,1)}
       115:{3,5,6}:{(97,1),(99,1),(129,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(100,1),(103,1),(127,1),(128,1),(129,1),(132,1)}
       117:{3,4,7}:{(99,1),(100,1),(129,1)}
       118:{1,4,6,7}:{(101,1),(103,1),(110,1),(128,1),(130,1),(139,1)}
       119:{2,5,6}:{(102,1),(105,1),(131,1),(132,1)}
       120:{1,3,5,7}:{(102,1),(103,1),(106,1),(111,1),(129,1),(130,1),(132,1)}
       121:{1,4,6}:{(104,1),(105,1),(108,1),(131,1),(133,1)}
       122:{2,4,7}:{(105,1),(106,1),(109,1),(132,1),(133,1)}
       123:{1,2,6}:{(107,1),(108,1),(134,1)}
       124:{1,3,7}:{(108,1),(109,1),(133,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(113,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(116,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(120,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(119,1),(121,1),(138,1)}
       132:{2,5,7}:{(119,1),(120,1),(122,1),(137,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(124,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2128 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(13,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,2,6}:{(4,1),(15,1),(16,1)}
       10:{2,4,5}:{(5,1),(6,1),(14,1),(17,1)}
       11:{2,3,6}:{(5,1),(15,1),(17,1),(18,1)}
       12:{3,4,6}:{(6,1),(17,1),(19,1),(20,1)}
       13:{2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
       14:{1,4,5}:{(8,1),(10,1),(21,1),(23,1)}
       15:{1,3,6}:{(8,1),(9,1),(11,1),(22,1),(23,1),(24,1)}
       16:{1,2,7}:{(9,1),(24,1)}
       17:{2,4,6}:{(10,1),(11,1),(12,1),(23,1),(25,1),(26,1)}
       18:{2,3,7}:{(11,1),(24,1),(26,1)}
       19:{3,5,6}:{(12,1),(25,1),(27,1),(28,1)}
       20:{3,4,7}:{(12,1),(26,1),(28,1)}
       21:{2,4,5}:{(13,1),(14,1),(29,1),(30,1)}
       22:{2,3,6}:{(13,1),(15,1),(30,1),(31,1)}
       23:{1,4,6}:{(14,1),(15,1),(17,1),(30,1),(32,1),(33,1)}
       24:{1,3,7}:{(15,1),(16,1),(18,1),(31,1),(33,1)}
       25:{2,5,6}:{(17,1),(19,1),(32,1),(34,1)}
       26:{2,4,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{4,5,6}:{(19,1),(35,1)}
       28:{3,5,7}:{(19,1),(20,1),(34,1),(35,1),(36,1)}
       29:{3,4,5}:{(21,1),(37,1)}
       30:{2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(39,1)}
       31:{2,3,7}:{(22,1),(24,1),(39,1)}
       32:{1,5,6}:{(23,1),(25,1),(38,1),(40,1)}
       33:{1,4,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{2,5,7}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
       35:{4,5,7}:{(27,1),(28,1),(42,1)}
       36:{3,6,7}:{(28,1),(41,1),(42,1)}
       37:{3,4,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{2,5,6}:{(30,1),(32,1),(43,1),(45,1)}
       39:{2,4,7}:{(30,1),(31,1),(33,1),(44,1),(45,1)}
       40:{1,5,7}:{(32,1),(33,1),(34,1),(45,1),(46,1)}
       41:{2,6,7}:{(34,1),(36,1),(46,1)}
       42:{4,6,7}:{(35,1),(36,1),(47,1)}
       43:{3,5,6}:{(37,1),(38,1),(48,1),(49,1)}
       44:{3,4,7}:{(37,1),(39,1),(49,1)}
       45:{2,5,7}:{(38,1),(39,1),(40,1),(49,1),(50,1)}
       46:{1,6,7}:{(40,1),(41,1),(50,1)}
       47:{5,6,7}:{(42,1)}
       48:{4,5,6}:{(43,1),(51,1)}
       49:{3,5,7}:{(43,1),(44,1),(45,1),(51,1),(52,1)}
       50:{2,6,7}:{(45,1),(46,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

2129 :   0:{2,3,4,5,7}:{(2,1),(3,1),(16,1),(51,1),(95,1),(104,1),(161,1),(174,1),(227,1),(230,1),(243,1)}
         1:{2,4,5,6,7}:{(4,1),(5,1),(26,1),(27,1),(118,1),(185,1)}
         2:{2,3,4,6}:{(0,1),(8,1),(9,1),(76,1),(138,1),(257,1),(259,1),(270,1)}
         3:{1,3,4,5,7}:{(0,1),(9,1),(10,1),(31,1),(35,1),(126,1),(131,1),(133,1),(136,1),(143,1),(144,1),(258,1)}
         4:{1,4,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(44,1),(88,1),(155,1)}
         5:{3,5,6,7}:{(1,1),(13,1),(150,1),(217,1)}
         6:{2,3,4,6,7}:{(2,1),(16,1),(17,1),(27,1),(63,1),(95,1),(96,1),(161,1),(184,1),(187,1)}
         7:{3,4,5,6}:{(15,1),(20,1),(173,1),(247,1)}
         8:{2,3,5,6}:{(2,1),(16,1),(20,1),(21,1),(247,1),(249,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(55,1),(110,1),(112,1),(282,1)}
        10:{2,4,5,7}:{(3,1),(22,1),(23,1),(49,1),(102,1),(113,1),(160,1),(170,1)}
        11:{2,4,5,6,7}:{(4,1),(24,1),(26,1),(61,1),(66,1),(124,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(24,1),(25,1),(26,1),(188,1)}
        13:{3,4,6,7}:{(5,1),(15,1),(27,1)}
        14:{2,3,5,6,7}:{(5,1),(16,1),(26,1),(27,1),(28,1),(63,1)}
        15:{3,4,5,7}:{(7,1),(13,1),(30,1),(195,1),(217,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(30,1),(31,1),(217,1),(220,1)}
        17:{1,3,4,6,7}:{(6,1),(9,1),(31,1),(32,1),(44,1),(71,1),(90,1),(93,1),(126,1),(131,1),(133,1),(219,1)}
        18:{1,3,4,5,6}:{(7,1),(29,1),(33,1),(36,1),(78,1),(82,1),(85,1),(142,1),(146,1),(211,1),(221,1)}
        19:{1,2,4,5,7}:{(10,1),(34,1),(35,1),(70,1),(77,1),(131,1),(139,1),(143,1),(193,1),(196,1),(203,1),(258,1),(297,1)}
        20:{2,4,5,6}:{(7,1),(8,1),(30,1),(36,1),(138,1)}
        21:{1,3,5,6}:{(8,1),(9,1),(31,1),(36,1),(37,1),(82,1),(274,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(38,1)}
        23:{2,3,5,7}:{(10,1),(35,1),(38,1),(39,1),(84,1),(194,1),(204,1)}
        24:{3,5,6,7}:{(11,1),(40,1),(93,1),(156,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(40,1),(42,1),(44,1),(88,1),(90,1),(93,1),(150,1)}
        26:{2,5,6,7}:{(12,1),(42,1),(43,1),(220,1)}
        27:{2,4,6,7}:{(13,1),(14,1),(30,1),(44,1)}
        28:{1,3,5,6,7}:{(14,1),(31,1),(43,1),(44,1),(45,1),(90,1),(93,1)}
        29:{1,3,4,5,7}:{(15,1),(18,1),(25,1),(46,1),(48,1),(60,1),(97,1),(101,1),(116,1),(165,1),(181,1),(188,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(20,1),(27,1),(48,1),(161,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(21,1),(48,1),(49,1),(101,1),(248,1)}
        32:{2,4,6,7}:{(17,1),(22,1),(49,1),(50,1),(102,1),(120,1),(160,1)}
        33:{2,4,5,6}:{(18,1),(46,1),(52,1),(53,1),(108,1),(176,1),(249,1)}
        34:{1,2,4,6}:{(19,1),(22,1),(54,1),(55,1),(107,1),(110,1),(228,1),(282,1),(307,1)}
        35:{1,3,5,7}:{(19,1),(23,1),(51,1),(55,1),(56,1),(111,1),(225,1),(227,1),(232,1)}
        36:{1,4,5,6}:{(20,1),(21,1),(48,1),(57,1),(110,1)}
        37:{2,5,6}:{(21,1),(22,1),(49,1)}
        38:{2,3,6}:{(22,1),(23,1),(55,1)}
        39:{2,3,4,7}:{(23,1),(56,1),(59,1),(102,1),(233,1)}
        40:{3,4,6,7}:{(24,1),(60,1),(61,1)}
        41:{2,3,5,6,7}:{(24,1),(26,1),(61,1),(62,1),(63,1),(115,1)}
        42:{2,4,6,7}:{(25,1),(26,1),(46,1),(63,1),(64,1),(120,1)}
        43:{1,5,6,7}:{(26,1),(64,1),(248,1)}
        44:{1,4,6,7}:{(27,1),(28,1),(48,1),(66,1)}
        45:{2,5,6,7}:{(28,1),(49,1),(66,1),(120,1)}
        46:{2,4,5,7}:{(29,1),(33,1),(42,1),(68,1),(69,1),(129,1),(199,1),(220,1)}
        47:{1,2,4,6,7}:{(32,1),(34,1),(70,1),(71,1),(128,1),(131,1),(152,1),(193,1),(219,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(36,1),(44,1),(72,1),(131,1)}
        49:{2,5,7}:{(31,1),(32,1),(37,1)}
        50:{2,3,6,7}:{(32,1),(38,1),(71,1),(73,1),(93,1),(194,1)}
        51:{2,3,5,7}:{(35,1),(76,1),(77,1),(139,1),(254,1),(260,1),(297,1)}
        52:{2,3,5,6}:{(33,1),(68,1),(75,1),(78,1),(82,1),(211,1)}
        53:{1,4,5,6}:{(33,1),(69,1),(78,1),(208,1),(274,1)}
        54:{1,2,5,6}:{(34,1),(37,1),(70,1),(80,1),(139,1),(197,1),(274,1)}
        55:{1,3,6}:{(34,1),(35,1),(38,1),(76,1),(257,1)}
        56:{1,3,4,7}:{(35,1),(39,1),(77,1),(81,1),(131,1),(195,1),(261,1)}
        57:{2,4,5,6}:{(36,1),(37,1),(72,1),(82,1),(83,1)}
        58:{2,3,5,6}:{(37,1),(38,1),(73,1),(80,1),(82,1),(83,1),(84,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1)}
        60:{3,4,5,7}:{(40,1),(85,1),(86,1),(156,1),(301,1)}
        61:{2,4,6,7}:{(40,1),(41,1),(86,1),(88,1)}
        62:{1,3,5,6,7}:{(41,1),(43,1),(88,1),(89,1),(90,1),(147,1),(150,1)}
        63:{2,3,6,7}:{(42,1),(68,1),(90,1),(93,1),(150,1)}
        64:{1,4,6,7}:{(42,1),(43,1),(69,1),(90,1)}
        65:{1,2,5,6,7}:{(43,1),(45,1),(70,1),(89,1),(91,1),(92,1),(152,1),(197,1),(212,1),(220,1),(274,1),(304,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(72,1),(93,1)}
        67:{2,3,5,6,7}:{(45,1),(73,1),(92,1),(93,1),(94,1),(135,1),(153,1),(156,1),(220,1),(267,1),(304,1),(314,1)}
        68:{2,3,5,7}:{(46,1),(52,1),(63,1),(95,1),(97,1),(101,1),(181,1)}
        69:{1,4,5,7}:{(46,1),(53,1),(64,1),(97,1),(229,1),(248,1)}
        70:{1,2,5,7}:{(47,1),(49,1),(54,1),(99,1),(162,1),(248,1)}
        71:{1,3,6,7}:{(47,1),(50,1),(55,1),(96,1),(99,1),(225,1)}
        72:{2,4,5,7}:{(48,1),(49,1),(57,1),(66,1),(101,1),(102,1)}
        73:{2,3,5,7}:{(49,1),(50,1),(58,1),(99,1),(101,1),(102,1)}
        74:{2,3,4,6,7}:{(50,1),(59,1),(100,1),(102,1),(103,1),(123,1),(169,1),(187,1),(226,1),(281,1)}
        75:{2,3,4,6}:{(52,1),(95,1),(104,1),(105,1),(112,1),(176,1),(234,1),(240,1)}
        76:{2,3,6}:{(51,1),(55,1),(107,1),(307,1)}
        77:{2,4,7}:{(51,1),(56,1),(107,1),(283,1)}
        78:{1,3,5,6}:{(52,1),(53,1),(97,1),(105,1),(108,1)}
        79:{1,2,4,5,6}:{(53,1),(54,1),(57,1),(98,1),(108,1),(109,1),(110,1),(171,1),(174,1),(176,1),(179,1),(189,1),(228,1),(237,1),(238,1),(249,1),(282,1),(284,1),(286,1),(307,1),(309,1),(311,1)}
        80:{1,3,5,6}:{(54,1),(55,1),(58,1),(99,1),(106,1),(110,1),(111,1)}
        81:{1,3,4,6}:{(55,1),(56,1),(59,1),(107,1),(110,1),(111,1),(173,1)}
        82:{3,5,6}:{(57,1),(101,1),(112,1)}
        83:{2,4,6}:{(58,1),(102,1),(110,1),(112,1),(113,1)}
        84:{2,3,5}:{(59,1),(111,1),(113,1)}
        85:{3,4,5,6}:{(60,1),(114,1),(190,1),(308,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(114,1),(115,1),(116,1),(288,1)}
        87:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(115,1),(117,1),(123,1),(158,1),(187,1),(244,1),(288,1)}
        88:{1,4,6,7}:{(61,1),(62,1),(116,1),(118,1)}
        89:{2,5,6,7}:{(62,1),(118,1),(120,1),(180,1)}
        90:{1,3,6,7}:{(63,1),(64,1),(97,1),(120,1)}
        91:{1,2,4,6,7}:{(64,1),(65,1),(66,1),(98,1),(118,1),(120,1),(121,1),(122,1),(187,1),(228,1),(282,1),(307,1),(311,1)}
        92:{1,3,5,6,7}:{(65,1),(67,1),(99,1),(119,1),(121,1),(122,1),(167,1),(186,1),(188,1),(241,1),(248,1),(292,1)}
        93:{3,6,7}:{(66,1),(101,1)}
        94:{2,4,6,7}:{(67,1),(102,1),(122,1),(123,1),(124,1),(169,1),(288,1),(311,1)}
        95:{2,3,4,7}:{(68,1),(75,1),(126,1),(133,1),(199,1),(214,1),(254,1)}
        96:{2,3,6,7}:{(71,1),(76,1),(127,1),(128,1),(254,1),(257,1)}
        97:{1,3,5,7}:{(68,1),(69,1),(78,1),(90,1),(126,1),(129,1)}
        98:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(91,1),(129,1),(130,1),(131,1),(148,1),(155,1),(193,1),(196,1),(199,1),(212,1),(220,1),(258,1),(268,1),(297,1),(302,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(80,1),(127,1),(131,1)}
       100:{1,3,4,6,7}:{(71,1),(74,1),(81,1),(128,1),(131,1),(132,1),(195,1),(201,1),(219,1),(255,1),(257,1),(298,1)}
       101:{3,5,7}:{(72,1),(82,1),(93,1),(133,1)}
       102:{2,4,7}:{(73,1),(83,1),(131,1),(133,1)}
       103:{2,3,5,7}:{(74,1),(84,1),(132,1),(134,1),(135,1),(156,1),(220,1)}
       104:{2,3,4,5}:{(75,1),(136,1),(144,1),(209,1),(260,1),(266,1)}
       105:{1,3,4,6}:{(75,1),(78,1),(126,1),(136,1),(137,1),(205,1),(208,1)}
       106:{2,3,5,6}:{(76,1),(80,1),(127,1),(138,1),(139,1),(197,1),(207,1),(257,1)}
       107:{2,4,6}:{(76,1),(77,1),(81,1),(139,1)}
       108:{2,5,6}:{(78,1),(129,1),(137,1)}
       109:{1,3,5,6}:{(79,1),(82,1),(130,1),(141,1),(142,1),(205,1),(207,1),(211,1),(257,1),(263,1),(298,1),(313,1),(314,1)}
       110:{1,4,6}:{(80,1),(83,1),(131,1),(138,1),(143,1)}
       111:{1,3,5}:{(81,1),(84,1),(139,1),(143,1),(207,1)}
       112:{3,4,6}:{(82,1),(83,1),(133,1),(144,1)}
       113:{2,4,5}:{(83,1),(84,1),(143,1),(144,1)}
       114:{2,4,5,6}:{(85,1),(86,1),(145,1),(146,1),(299,1)}
       115:{2,3,5,7}:{(86,1),(87,1),(145,1),(147,1),(156,1),(220,1)}
       116:{1,4,5,7}:{(86,1),(88,1),(146,1),(147,1),(148,1),(268,1)}
       117:{1,3,4,6,7}:{(87,1),(88,1),(90,1),(126,1),(147,1),(149,1),(150,1),(191,1),(214,1),(215,1),(219,1),(268,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(148,1),(150,1)}
       119:{2,3,5,6,7}:{(89,1),(92,1),(127,1),(150,1),(151,1),(153,1),(197,1),(213,1),(217,1),(220,1),(257,1),(273,1)}
       120:{2,6,7}:{(90,1),(129,1)}
       121:{1,3,6,7}:{(91,1),(93,1),(130,1),(150,1),(153,1),(257,1),(298,1),(314,1)}
       122:{1,4,6,7}:{(92,1),(94,1),(131,1),(151,1),(155,1),(201,1),(268,1),(303,1)}
       123:{3,4,6,7}:{(93,1),(94,1),(133,1),(156,1),(202,1),(301,1),(314,1)}
       124:{2,4,5,7}:{(94,1),(155,1),(156,1),(157,1),(220,1)}
       125:{2,3,4,5,7}:{(95,1),(104,1),(115,1),(158,1),(159,1),(168,1),(230,1),(277,1),(288,1),(309,1),(310,1)}
       126:{1,3,4,7}:{(95,1),(97,1),(105,1),(160,1),(225,1),(229,1)}
       127:{2,3,5,7}:{(96,1),(99,1),(106,1),(161,1),(162,1),(227,1)}
       128:{2,4,6,7}:{(96,1),(100,1),(107,1),(161,1),(162,1),(228,1),(279,1),(307,1)}
       129:{2,5,7}:{(97,1),(108,1),(120,1),(160,1)}
       130:{1,3,5,7}:{(98,1),(101,1),(109,1),(121,1),(164,1),(165,1),(181,1),(225,1),(227,1),(310,1)}
       131:{1,4,7}:{(99,1),(102,1),(110,1),(161,1)}
       132:{1,3,5,7}:{(100,1),(103,1),(111,1),(162,1),(166,1),(167,1),(227,1),(248,1)}
       133:{3,4,7}:{(101,1),(102,1),(112,1)}
       134:{2,4,5,7}:{(102,1),(103,1),(113,1),(166,1),(168,1),(169,1)}
       135:{2,3,5,6}:{(103,1),(167,1),(169,1),(190,1),(249,1),(281,1)}
       136:{1,3,4,5}:{(104,1),(105,1),(170,1),(232,1),(237,1)}
       137:{2,4,6}:{(105,1),(108,1),(160,1),(170,1),(172,1)}
       138:{2,4,6}:{(106,1),(110,1),(161,1),(173,1),(174,1)}
       139:{2,5}:{(107,1),(111,1)}
       140:{1,2,5,6}:{(108,1),(163,1),(171,1),(175,1),(284,1),(307,1)}
       141:{2,3,5,6}:{(108,1),(109,1),(164,1),(172,1),(175,1),(176,1),(234,1),(236,1),(249,1),(281,1),(284,1),(307,1)}
       142:{1,3,4,6}:{(109,1),(110,1),(112,1),(165,1),(173,1),(176,1),(177,1),(240,1),(286,1),(308,1)}
       143:{1,4,5}:{(110,1),(111,1),(113,1),(174,1)}
       144:{3,4,5}:{(112,1),(113,1)}
       145:{2,3,5,6}:{(114,1),(115,1),(158,1),(178,1),(190,1),(249,1)}
       146:{1,4,5,6}:{(114,1),(116,1),(178,1),(179,1),(286,1)}
       147:{1,3,5,7}:{(115,1),(116,1),(117,1),(178,1),(180,1),(181,1),(248,1)}
       148:{2,4,5,7}:{(116,1),(118,1),(179,1),(180,1),(181,1),(242,1)}
       149:{2,4,6,7}:{(117,1),(120,1),(160,1),(180,1),(183,1),(222,1),(242,1)}
       150:{3,6,7}:{(118,1),(181,1)}
       151:{2,4,6,7}:{(119,1),(122,1),(161,1),(184,1),(185,1),(228,1),(242,1),(290,1)}
       152:{1,2,6,7}:{(120,1),(163,1),(186,1),(307,1)}
       153:{2,3,6,7}:{(120,1),(121,1),(164,1),(186,1),(187,1),(281,1),(307,1)}
       154:{1,3,4,6,7}:{(121,1),(122,1),(123,1),(165,1),(184,1),(187,1),(188,1),(231,1)}
       155:{1,4,5,7}:{(122,1),(124,1),(185,1),(188,1),(189,1),(248,1)}
       156:{3,5,7}:{(123,1),(124,1),(190,1)}
       157:{2,4,5,6}:{(124,1),(169,1),(189,1),(190,1),(249,1),(311,1)}
       158:{2,3,4,6}:{(125,1),(145,1),(191,1),(202,1),(259,1),(293,1),(299,1),(314,1)}
       159:{1,3,4,5,7}:{(125,1),(126,1),(136,1),(147,1),(191,1),(192,1),(214,1),(252,1),(258,1),(266,1),(268,1),(300,1)}
       160:{2,4,7}:{(126,1),(129,1),(137,1),(194,1)}
       161:{2,4,7}:{(127,1),(131,1),(138,1),(195,1)}
       162:{2,5,7}:{(128,1),(132,1),(139,1),(197,1)}
       163:{1,2,5,7}:{(129,1),(140,1),(152,1),(193,1),(198,1),(297,1)}
       164:{2,3,5,7}:{(129,1),(130,1),(141,1),(153,1),(194,1),(198,1),(199,1),(220,1),(254,1),(297,1)}
       165:{1,3,4,7}:{(130,1),(131,1),(133,1),(142,1),(195,1),(199,1),(214,1),(268,1),(301,1)}
       166:{1,4,5,7}:{(131,1),(132,1),(134,1),(143,1),(196,1),(201,1)}
       167:{1,3,5,6}:{(132,1),(135,1),(197,1),(201,1),(257,1),(274,1),(298,1)}
       168:{3,4,5,7}:{(133,1),(134,1),(144,1),(156,1),(202,1)}
       169:{2,4,6}:{(134,1),(135,1),(201,1),(202,1)}
       170:{2,4,5}:{(136,1),(137,1),(204,1)}
       171:{1,2,4,6}:{(137,1),(140,1),(193,1),(203,1),(205,1),(208,1),(262,1)}
       172:{2,3,6}:{(137,1),(194,1),(204,1),(205,1)}
       173:{3,4,6}:{(138,1),(195,1),(207,1),(257,1)}
       174:{2,4,5}:{(138,1),(139,1),(143,1),(207,1)}
       175:{1,3,5,6}:{(140,1),(141,1),(198,1),(205,1),(208,1),(263,1),(274,1),(298,1)}
       176:{2,4,6}:{(141,1),(142,1),(199,1),(208,1),(209,1)}
       177:{1,3,4,5}:{(142,1),(143,1),(144,1),(207,1),(209,1),(263,1),(266,1),(300,1),(313,1)}
       178:{1,3,5,6}:{(145,1),(146,1),(147,1),(191,1),(210,1),(211,1),(274,1)}
       179:{2,4,5,6}:{(146,1),(148,1),(210,1),(211,1),(265,1)}
       180:{2,5,7}:{(147,1),(149,1),(210,1)}
       181:{3,5,7}:{(148,1),(150,1),(211,1),(214,1)}
       182:{1,2,4,6,7}:{(149,1),(152,1),(193,1),(212,1),(215,1),(219,1),(250,1),(268,1),(271,1)}
       183:{2,3,6,7}:{(149,1),(150,1),(194,1),(213,1),(215,1),(251,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(195,1),(214,1),(217,1),(257,1),(270,1)}
       185:{2,4,5,7}:{(151,1),(155,1),(217,1),(218,1),(220,1)}
       186:{1,3,6,7}:{(152,1),(153,1),(198,1),(219,1),(298,1)}
       187:{2,4,6,7}:{(153,1),(154,1),(199,1),(219,1),(220,1),(259,1)}
       188:{1,3,5,7}:{(154,1),(155,1),(156,1),(217,1),(220,1),(221,1)}
       189:{1,4,5,6}:{(155,1),(157,1),(201,1),(218,1),(221,1),(274,1),(303,1)}
       190:{3,5,6}:{(156,1),(157,1),(202,1),(314,1)}
       191:{1,3,4,6}:{(158,1),(159,1),(178,1),(222,1),(240,1),(275,1),(282,1),(286,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(170,1),(180,1),(222,1),(224,1),(242,1),(287,1)}
       193:{1,2,4,7}:{(160,1),(163,1),(171,1),(225,1),(229,1),(279,1)}
       194:{2,3,7}:{(160,1),(172,1),(225,1)}
       195:{3,4,7}:{(161,1),(173,1),(227,1)}
       196:{2,4,5,7}:{(161,1),(162,1),(166,1),(174,1),(227,1),(228,1)}
       197:{2,5,6}:{(162,1),(167,1),(228,1),(307,1)}
       198:{1,3,5,7}:{(163,1),(164,1),(175,1),(186,1),(225,1),(229,1),(248,1)}
       199:{2,4,7}:{(164,1),(165,1),(176,1),(229,1)}
       200:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(177,1),(188,1),(227,1),(230,1),(231,1),(243,1),(280,1),(289,1),(310,1)}
       201:{1,4,6}:{(166,1),(167,1),(169,1),(228,1)}
       202:{3,4,6}:{(168,1),(169,1),(190,1)}
       203:{1,2,4,5}:{(170,1),(171,1),(232,1),(237,1),(283,1),(284,1)}
       204:{2,3,5}:{(170,1),(172,1),(232,1),(233,1)}
       205:{1,3,6}:{(171,1),(172,1),(225,1),(232,1),(234,1)}
       206:{2,3,4,6}:{(172,1),(173,1),(176,1),(226,1),(233,1),(235,1),(236,1),(281,1),(308,1)}
       207:{3,5}:{(173,1),(174,1)}
       208:{1,4,6}:{(175,1),(176,1),(229,1),(237,1)}
       209:{2,4,5}:{(176,1),(177,1),(236,1),(237,1),(284,1)}
       210:{2,5,6}:{(178,1),(180,1),(222,1)}
       211:{3,5,6}:{(179,1),(181,1),(240,1)}
       212:{1,2,5,7}:{(180,1),(182,1),(238,1),(241,1),(248,1),(291,1)}
       213:{2,3,5,7}:{(180,1),(181,1),(183,1),(239,1),(241,1),(242,1)}
       214:{3,4,7}:{(181,1),(240,1),(242,1)}
       215:{1,3,6,7}:{(182,1),(183,1),(225,1),(241,1),(244,1),(275,1)}
       216:{2,3,4,6,7}:{(183,1),(184,1),(187,1),(226,1),(242,1),(245,1),(246,1),(276,1),(281,1),(290,1)}
       217:{3,5,7}:{(184,1),(185,1),(247,1)}
       218:{2,4,5,6}:{(185,1),(189,1),(228,1),(247,1),(249,1),(290,1)}
       219:{1,4,6,7}:{(186,1),(187,1),(229,1),(248,1),(282,1)}
       220:{2,5,7}:{(187,1),(188,1),(248,1),(249,1)}
       221:{1,3,5,6}:{(188,1),(189,1),(190,1),(231,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(192,1),(210,1),(251,1)}
       223:{1,2,4,5,7}:{(192,1),(193,1),(203,1),(212,1),(250,1),(252,1),(258,1),(268,1),(296,1),(297,1),(300,1),(302,1),(312,1)}
       224:{2,3,5,7}:{(192,1),(194,1),(204,1),(251,1),(252,1),(253,1),(295,1)}
       225:{1,3,7}:{(193,1),(194,1),(205,1),(254,1)}
       226:{2,3,4,7}:{(194,1),(195,1),(199,1),(206,1),(255,1),(256,1),(301,1)}
       227:{3,5,7}:{(195,1),(196,1),(207,1),(257,1)}
       228:{2,4,6}:{(196,1),(197,1),(201,1),(257,1)}
       229:{1,4,7}:{(198,1),(199,1),(208,1)}
       230:{2,4,5,7}:{(199,1),(200,1),(209,1),(220,1),(256,1),(258,1),(259,1),(297,1)}
       231:{1,3,4,6}:{(200,1),(201,1),(202,1),(221,1),(257,1),(259,1),(270,1),(298,1),(303,1),(314,1)}
       232:{1,3,5}:{(203,1),(204,1),(205,1),(260,1),(261,1)}
       233:{2,3,4}:{(204,1),(261,1)}
       234:{2,3,6}:{(205,1),(254,1),(260,1),(262,1)}
       235:{1,3,4,6}:{(205,1),(206,1),(208,1),(255,1),(261,1),(262,1),(263,1),(298,1)}
       236:{2,3,5}:{(206,1),(207,1),(209,1),(263,1),(313,1)}
       237:{1,4,5}:{(208,1),(209,1),(263,1)}
       238:{1,2,5,6}:{(210,1),(212,1),(250,1),(264,1),(274,1),(304,1),(312,1)}
       239:{2,3,5,6}:{(210,1),(211,1),(213,1),(251,1),(264,1),(265,1),(295,1)}
       240:{3,4,6}:{(211,1),(214,1),(265,1),(266,1)}
       241:{1,3,5,7}:{(212,1),(213,1),(215,1),(264,1),(267,1),(268,1)}
       242:{2,4,7}:{(213,1),(214,1),(265,1),(268,1)}
       243:{3,4,5,7}:{(214,1),(217,1),(266,1),(269,1),(270,1)}
       244:{2,3,6,7}:{(215,1),(254,1),(267,1),(271,1),(293,1),(314,1)}
       245:{1,3,4,6,7}:{(215,1),(216,1),(219,1),(255,1),(268,1),(271,1),(272,1),(294,1),(298,1),(301,1),(303,1),(314,1)}
       246:{2,3,5,7}:{(216,1),(217,1),(220,1),(269,1),(272,1),(273,1),(295,1)}
       247:{3,5,6}:{(217,1),(218,1),(257,1),(270,1)}
       248:{1,5,7}:{(219,1),(220,1),(274,1)}
       249:{2,5,6}:{(220,1),(221,1),(259,1),(274,1)}
       250:{1,2,4,6}:{(222,1),(223,1),(238,1),(275,1),(282,1),(286,1),(305,1),(307,1),(311,1)}
       251:{2,3,6}:{(222,1),(224,1),(275,1)}
       252:{1,3,5,7}:{(223,1),(224,1),(225,1),(232,1),(275,1),(277,1),(278,1),(306,1),(310,1)}
       253:{2,3,4,7}:{(224,1),(233,1),(242,1),(276,1),(278,1)}
       254:{2,3,7}:{(225,1),(234,1),(279,1)}
       255:{1,3,4,7}:{(225,1),(226,1),(229,1),(235,1),(279,1),(280,1)}
       256:{2,3,5,7}:{(226,1),(227,1),(230,1),(236,1),(280,1),(281,1),(310,1)}
       257:{3,6}:{(227,1),(228,1)}
       258:{1,4,5,7}:{(229,1),(230,1),(237,1),(248,1),(280,1),(282,1)}
       259:{2,4,6}:{(230,1),(231,1),(249,1),(281,1),(282,1),(307,1)}
       260:{2,3,5}:{(232,1),(234,1),(283,1),(284,1)}
       261:{1,3,4}:{(232,1),(233,1),(283,1)}
       262:{2,4,6}:{(234,1),(235,1),(279,1),(283,1),(284,1),(307,1)}
       263:{1,3,5}:{(235,1),(236,1),(237,1),(284,1)}
       264:{1,3,5,6}:{(238,1),(239,1),(241,1),(275,1),(285,1),(286,1),(306,1)}
       265:{2,4,6}:{(239,1),(240,1),(242,1),(286,1),(287,1)}
       266:{3,4,5}:{(240,1),(287,1)}
       267:{2,3,5,7}:{(241,1),(244,1),(285,1),(288,1),(291,1),(310,1)}
       268:{1,4,7}:{(241,1),(242,1),(286,1),(288,1)}
       269:{2,4,5,7}:{(242,1),(243,1),(246,1),(287,1),(289,1),(290,1)}
       270:{3,4,6}:{(243,1),(247,1),(290,1)}
       271:{2,4,6,7}:{(244,1),(245,1),(279,1),(288,1),(291,1),(305,1),(307,1),(311,1)}
       272:{1,3,5,7}:{(245,1),(246,1),(248,1),(289,1),(291,1),(292,1),(306,1),(310,1)}
       273:{2,3,5,6}:{(246,1),(247,1),(249,1),(281,1),(290,1),(292,1)}
       274:{1,5,6}:{(248,1),(249,1),(282,1)}
       275:{1,3,6}:{(250,1),(251,1),(252,1),(293,1),(314,1)}
       276:{2,3,4,6}:{(251,1),(253,1),(265,1),(294,1),(295,1)}
       277:{2,3,5,7}:{(252,1),(254,1),(260,1),(293,1),(296,1),(297,1),(312,1)}
       278:{1,3,4,7}:{(252,1),(253,1),(261,1),(268,1),(294,1),(296,1),(301,1)}
       279:{2,4,7}:{(254,1),(255,1),(262,1),(297,1)}
       280:{1,3,5,7}:{(255,1),(256,1),(258,1),(263,1),(297,1),(298,1)}
       281:{2,3,6}:{(256,1),(257,1),(259,1),(298,1),(314,1)}
       282:{1,4,6}:{(258,1),(259,1),(274,1),(298,1)}
       283:{2,4}:{(260,1),(261,1)}
       284:{2,5}:{(262,1),(263,1)}
       285:{2,3,5,6}:{(264,1),(267,1),(293,1),(299,1),(304,1),(312,1),(313,1),(314,1)}
       286:{1,4,6}:{(264,1),(265,1),(268,1),(299,1),(300,1)}
       287:{2,4,5}:{(265,1),(266,1),(295,1),(300,1)}
       288:{2,4,7}:{(267,1),(268,1),(299,1),(301,1)}
       289:{1,4,5,7}:{(268,1),(269,1),(272,1),(300,1),(302,1),(303,1)}
       290:{2,4,6}:{(269,1),(270,1),(273,1),(303,1)}
       291:{2,5,7}:{(271,1),(272,1),(304,1),(312,1)}
       292:{1,3,5,6}:{(272,1),(273,1),(274,1),(298,1),(303,1),(304,1),(314,1)}
       293:{2,3,6}:{(275,1),(277,1),(305,1),(307,1)}
       294:{1,3,4,6}:{(275,1),(276,1),(278,1),(286,1),(305,1),(306,1),(308,1)}
       295:{2,3,5}:{(276,1),(287,1),(306,1)}
       296:{2,4,7}:{(277,1),(278,1),(283,1),(305,1)}
       297:{2,5,7}:{(279,1),(280,1),(284,1),(307,1)}
       298:{1,3,6}:{(280,1),(281,1),(282,1),(307,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1),(309,1)}
       300:{1,4,5}:{(286,1),(287,1),(306,1),(309,1)}
       301:{3,4,7}:{(288,1),(308,1),(310,1)}
       302:{2,4,5,7}:{(288,1),(289,1),(291,1),(309,1),(310,1),(311,1)}
       303:{1,4,6}:{(289,1),(290,1),(292,1),(311,1)}
       304:{2,5,6}:{(291,1),(292,1),(307,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(296,1),(312,1)}
       306:{1,3,5}:{(294,1),(295,1),(300,1),(312,1),(313,1)}
       307:{2,6}:{(297,1),(298,1)}
       308:{3,4,6}:{(299,1),(301,1),(313,1),(314,1)}
       309:{2,4,5}:{(299,1),(300,1),(312,1),(313,1)}
       310:{3,5,7}:{(301,1),(302,1),(313,1),(314,1)}
       311:{2,4,6}:{(302,1),(303,1),(304,1),(314,1)}
       312:{2,5}:{(305,1),(306,1)}
       313:{3,5}:{(308,1),(309,1)}
       314:{3,6}:{(310,1),(311,1)}

2130 :   0:{2,3,4,5,7}:{(1,1),(2,1),(11,1),(35,1),(135,1),(136,1),(147,1),(149,1),(197,1),(202,1),(212,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(20,1),(23,1),(109,1),(111,1),(116,1),(119,1),(179,1),(181,1),(230,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(107,1),(224,1),(229,1),(238,1)}
         3:{2,3,4,6,7}:{(2,1),(10,1),(11,1),(17,1),(77,1),(99,1),(135,1),(147,1),(153,1),(156,1)}
         4:{2,4,5,7}:{(1,1),(12,1),(13,1),(41,1),(87,1),(90,1),(209,1),(210,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(38,1),(84,1),(91,1),(255,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(14,1),(15,1),(213,1),(216,1)}
         7:{2,3,5,6,7}:{(11,1),(16,1),(17,1),(19,1),(53,1),(99,1)}
         8:{2,4,5,6,7}:{(17,1),(18,1),(19,1),(53,1),(152,1),(164,1)}
         9:{1,2,4,5,7}:{(4,1),(20,1),(21,1),(54,1),(57,1),(106,1),(109,1),(111,1),(166,1),(230,1),(231,1),(232,1),(273,1)}
        10:{1,3,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(31,1),(56,1),(72,1),(109,1),(116,1),(129,1),(179,1),(188,1)}
        11:{2,3,5,7}:{(3,1),(6,1),(23,1),(24,1),(184,1),(187,1)}
        12:{2,3,5,7}:{(4,1),(20,1),(25,1),(26,1),(65,1),(236,1),(237,1)}
        13:{2,4,6}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,5,6}:{(5,1),(6,1),(23,1),(27,1),(28,1),(67,1),(243,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(28,1),(29,1),(107,1)}
        16:{1,3,5,6,7}:{(7,1),(23,1),(30,1),(31,1),(72,1),(76,1),(129,1)}
        17:{2,4,6,7}:{(7,1),(24,1),(31,1),(32,1)}
        18:{1,4,5,6,7}:{(8,1),(31,1),(33,1),(34,1),(76,1),(123,1),(132,1)}
        19:{3,5,6,7}:{(8,1),(32,1),(184,1),(195,1)}
        20:{1,3,5,7}:{(9,1),(12,1),(35,1),(37,1),(38,1),(83,1),(197,1),(257,1),(258,1)}
        21:{1,2,4,6}:{(9,1),(13,1),(38,1),(39,1),(78,1),(84,1),(196,1),(255,1),(289,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(40,1),(41,1),(87,1),(161,1),(209,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(14,1),(41,1),(42,1),(88,1),(217,1)}
        24:{2,4,5,7}:{(11,1),(15,1),(17,1),(42,1),(43,1),(135,1)}
        25:{2,3,4,7}:{(12,1),(37,1),(44,1),(87,1),(261,1)}
        26:{2,3,6}:{(12,1),(13,1),(38,1)}
        27:{2,5,6}:{(13,1),(14,1),(41,1)}
        28:{1,4,5,6}:{(14,1),(15,1),(42,1),(46,1),(84,1)}
        29:{3,4,5,6}:{(15,1),(43,1),(137,1),(213,1)}
        30:{2,5,6,7}:{(16,1),(41,1),(50,1),(161,1)}
        31:{1,4,6,7}:{(16,1),(17,1),(42,1),(50,1)}
        32:{3,4,6,7}:{(17,1),(19,1),(43,1)}
        33:{2,4,5,6,7}:{(18,1),(50,1),(52,1),(53,1),(97,1),(102,1)}
        34:{1,3,5,6,7}:{(18,1),(19,1),(51,1),(52,1),(53,1),(155,1)}
        35:{2,3,5,7}:{(20,1),(54,1),(55,1),(106,1),(273,1),(274,1),(275,1)}
        36:{1,2,4,6,7}:{(21,1),(22,1),(56,1),(57,1),(104,1),(109,1),(188,1),(189,1),(231,1)}
        37:{1,3,4,7}:{(20,1),(25,1),(54,1),(58,1),(109,1),(167,1),(278,1)}
        38:{1,3,6}:{(20,1),(21,1),(26,1),(55,1),(224,1)}
        39:{1,2,5,6}:{(21,1),(27,1),(57,1),(59,1),(106,1),(165,1),(243,1)}
        40:{2,3,6,7}:{(22,1),(26,1),(56,1),(62,1),(72,1),(236,1)}
        41:{2,5,7}:{(22,1),(23,1),(27,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(28,1),(31,1),(63,1),(109,1)}
        43:{3,4,5,7}:{(24,1),(29,1),(32,1),(167,1),(184,1)}
        44:{2,3,4,6}:{(25,1),(26,1),(58,1),(65,1),(66,1)}
        45:{2,3,5,6}:{(26,1),(27,1),(59,1),(62,1),(65,1),(66,1),(67,1)}
        46:{2,4,5,6}:{(27,1),(28,1),(63,1),(66,1),(67,1)}
        47:{1,3,4,5,6}:{(28,1),(29,1),(64,1),(67,1),(68,1),(112,1),(121,1),(130,1),(186,1),(193,1),(248,1)}
        48:{1,2,5,6,7}:{(30,1),(57,1),(69,1),(70,1),(76,1),(133,1),(165,1),(187,1),(189,1),(243,1),(244,1),(283,1)}
        49:{2,3,5,6,7}:{(30,1),(62,1),(69,1),(71,1),(72,1),(114,1),(125,1),(127,1),(187,1),(283,1),(284,1),(305,1)}
        50:{2,4,6,7}:{(30,1),(31,1),(63,1),(72,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(64,1),(72,1),(73,1),(74,1),(129,1),(132,1),(195,1)}
        52:{3,5,6,7}:{(33,1),(72,1),(74,1),(127,1)}
        53:{2,5,6,7}:{(34,1),(73,1),(76,1),(187,1)}
        54:{2,4,7}:{(35,1),(37,1),(78,1),(291,1)}
        55:{2,3,6}:{(35,1),(38,1),(78,1),(289,1)}
        56:{1,3,6,7}:{(36,1),(38,1),(40,1),(77,1),(81,1),(257,1)}
        57:{1,2,5,7}:{(36,1),(39,1),(41,1),(81,1),(134,1),(217,1)}
        58:{1,3,4,6}:{(37,1),(38,1),(44,1),(78,1),(83,1),(84,1),(137,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(45,1),(79,1),(81,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(39,1),(46,1),(82,1),(84,1),(85,1),(93,1),(136,1),(143,1),(151,1),(154,1),(196,1),(205,1),(206,1),(216,1),(222,1),(253,1),(255,1),(267,1),(289,1),(295,1),(299,1),(312,1)}
        61:{2,3,4,6,7}:{(40,1),(44,1),(80,1),(86,1),(87,1),(98,1),(145,1),(156,1),(198,1),(250,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(45,1),(81,1),(87,1),(88,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(46,1),(50,1),(87,1),(88,1)}
        64:{1,3,4,5,7}:{(42,1),(43,1),(47,1),(51,1),(88,1),(89,1),(101,1),(140,1),(148,1),(155,1),(163,1),(223,1)}
        65:{2,3,5}:{(44,1),(83,1),(90,1)}
        66:{2,4,6}:{(45,1),(84,1),(87,1),(90,1),(91,1)}
        67:{3,5,6}:{(46,1),(88,1),(91,1)}
        68:{2,4,5,6}:{(47,1),(89,1),(92,1),(93,1),(143,1),(151,1),(216,1)}
        69:{1,3,5,6,7}:{(48,1),(49,1),(81,1),(94,1),(95,1),(96,1),(138,1),(155,1),(157,1),(217,1),(264,1),(268,1)}
        70:{1,2,4,6,7}:{(48,1),(50,1),(82,1),(95,1),(96,1),(100,1),(156,1),(161,1),(164,1),(196,1),(255,1),(289,1),(295,1)}
        71:{2,4,6,7}:{(49,1),(87,1),(95,1),(97,1),(98,1),(145,1),(295,1),(298,1)}
        72:{3,6,7}:{(50,1),(88,1)}
        73:{2,4,6,7}:{(51,1),(53,1),(89,1),(99,1),(100,1),(161,1)}
        74:{3,4,6,7}:{(52,1),(101,1),(102,1)}
        75:{2,3,5,6,7}:{(52,1),(53,1),(99,1),(102,1),(103,1),(159,1)}
        76:{1,5,6,7}:{(53,1),(100,1),(217,1)}
        77:{2,3,6,7}:{(55,1),(56,1),(104,1),(105,1),(224,1),(274,1)}
        78:{2,4,6}:{(54,1),(55,1),(58,1),(106,1)}
        79:{2,3,5,6}:{(55,1),(59,1),(105,1),(106,1),(107,1),(165,1),(168,1),(224,1)}
        80:{1,3,4,6,7}:{(56,1),(58,1),(61,1),(104,1),(108,1),(109,1),(167,1),(170,1),(188,1),(224,1),(226,1),(272,1)}
        81:{1,3,5,7}:{(56,1),(57,1),(59,1),(62,1),(105,1),(109,1)}
        82:{1,2,4,5,7}:{(57,1),(60,1),(63,1),(70,1),(109,1),(110,1),(118,1),(123,1),(166,1),(172,1),(180,1),(187,1),(194,1),(230,1),(231,1),(244,1),(273,1),(282,1),(286,1)}
        83:{1,3,5}:{(58,1),(65,1),(106,1),(111,1),(168,1)}
        84:{1,4,6}:{(59,1),(66,1),(107,1),(109,1),(111,1)}
        85:{1,3,5,6}:{(60,1),(67,1),(110,1),(112,1),(113,1),(168,1),(224,1),(227,1),(233,1),(248,1),(272,1),(305,1),(314,1)}
        86:{2,3,5,7}:{(61,1),(65,1),(108,1),(114,1),(115,1),(127,1),(187,1)}
        87:{2,4,7}:{(62,1),(66,1),(109,1),(116,1)}
        88:{3,5,7}:{(63,1),(67,1),(72,1),(116,1)}
        89:{2,4,5,7}:{(64,1),(68,1),(73,1),(117,1),(118,1),(172,1),(180,1),(187,1)}
        90:{2,4,5}:{(65,1),(66,1),(111,1),(119,1)}
        91:{3,4,6}:{(66,1),(67,1),(116,1),(119,1)}
        92:{2,3,5,6}:{(67,1),(68,1),(117,1),(120,1),(121,1),(248,1)}
        93:{1,4,5,6}:{(68,1),(118,1),(121,1),(175,1),(243,1)}
        94:{2,3,5,6,7}:{(69,1),(105,1),(122,1),(125,1),(133,1),(165,1),(184,1),(187,1),(195,1),(224,1),(240,1),(247,1)}
        95:{1,4,6,7}:{(69,1),(71,1),(109,1),(122,1),(123,1),(170,1),(281,1),(286,1)}
        96:{1,3,6,7}:{(70,1),(72,1),(110,1),(125,1),(195,1),(224,1),(272,1),(305,1)}
        97:{2,4,5,7}:{(71,1),(123,1),(126,1),(127,1),(187,1)}
        98:{3,4,6,7}:{(71,1),(72,1),(116,1),(127,1),(177,1),(305,1),(306,1)}
        99:{2,3,6,7}:{(72,1),(73,1),(117,1),(129,1),(195,1)}
       100:{1,4,6,7}:{(73,1),(76,1),(118,1),(129,1)}
       101:{3,4,5,7}:{(74,1),(127,1),(130,1),(131,1),(306,1)}
       102:{2,4,6,7}:{(74,1),(75,1),(131,1),(132,1)}
       103:{1,3,5,6,7}:{(75,1),(76,1),(129,1),(132,1),(133,1),(191,1),(195,1)}
       104:{2,4,6,7}:{(77,1),(78,1),(80,1),(134,1),(135,1),(196,1),(252,1),(289,1)}
       105:{2,3,5,7}:{(77,1),(79,1),(81,1),(134,1),(135,1),(197,1)}
       106:{2,5}:{(78,1),(83,1)}
       107:{2,4,6}:{(79,1),(84,1),(135,1),(136,1),(137,1)}
       108:{1,3,5,7}:{(80,1),(83,1),(86,1),(134,1),(138,1),(139,1),(197,1),(217,1)}
       109:{1,4,7}:{(81,1),(84,1),(87,1),(135,1)}
       110:{1,3,5,7}:{(82,1),(85,1),(88,1),(96,1),(140,1),(141,1),(197,1),(223,1),(257,1),(296,1)}
       111:{1,4,5}:{(83,1),(84,1),(90,1),(136,1)}
       112:{1,3,4,6}:{(84,1),(85,1),(91,1),(137,1),(140,1),(142,1),(143,1),(271,1),(299,1),(311,1)}
       113:{2,3,5,6}:{(85,1),(141,1),(143,1),(144,1),(151,1),(199,1),(211,1),(216,1),(250,1),(253,1),(254,1),(289,1)}
       114:{2,3,5,6}:{(86,1),(138,1),(145,1),(158,1),(216,1),(250,1)}
       115:{2,4,5,7}:{(86,1),(87,1),(90,1),(139,1),(145,1),(146,1)}
       116:{3,4,7}:{(87,1),(88,1),(91,1)}
       117:{2,3,5,7}:{(88,1),(89,1),(92,1),(99,1),(147,1),(148,1),(223,1)}
       118:{1,4,5,7}:{(89,1),(93,1),(100,1),(148,1),(203,1),(217,1)}
       119:{3,4,5}:{(90,1),(91,1)}
       120:{2,3,4,6}:{(91,1),(92,1),(143,1),(147,1),(149,1),(150,1),(254,1),(271,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(148,1),(150,1),(151,1)}
       122:{2,4,6,7}:{(94,1),(95,1),(135,1),(152,1),(153,1),(196,1),(262,1),(270,1)}
       123:{1,4,5,7}:{(95,1),(97,1),(152,1),(154,1),(155,1),(217,1)}
       124:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(140,1),(153,1),(155,1),(156,1),(201,1)}
       125:{2,3,6,7}:{(96,1),(141,1),(156,1),(157,1),(161,1),(250,1),(289,1)}
       126:{2,4,5,6}:{(97,1),(145,1),(154,1),(158,1),(216,1),(295,1)}
       127:{3,5,7}:{(97,1),(98,1),(158,1)}
       128:{2,3,4,6,7}:{(98,1),(99,1),(102,1),(147,1),(156,1),(159,1),(160,1),(207,1),(266,1),(298,1)}
       129:{1,3,6,7}:{(99,1),(100,1),(148,1),(161,1)}
       130:{3,4,5,6}:{(101,1),(158,1),(162,1),(311,1)}
       131:{2,4,5,7}:{(101,1),(102,1),(159,1),(162,1),(163,1),(298,1)}
       132:{1,4,6,7}:{(102,1),(103,1),(163,1),(164,1)}
       133:{2,5,6,7}:{(103,1),(161,1),(164,1),(220,1)}
       134:{2,5,7}:{(104,1),(106,1),(108,1),(165,1)}
       135:{2,4,7}:{(105,1),(107,1),(109,1),(167,1)}
       136:{2,4,5}:{(106,1),(107,1),(111,1),(168,1)}
       137:{3,4,6}:{(107,1),(167,1),(168,1),(224,1)}
       138:{1,3,5,6}:{(108,1),(114,1),(165,1),(170,1),(224,1),(243,1),(272,1)}
       139:{1,4,5,7}:{(108,1),(109,1),(111,1),(115,1),(166,1),(170,1)}
       140:{1,3,4,7}:{(109,1),(110,1),(112,1),(116,1),(167,1),(172,1),(249,1),(286,1),(306,1)}
       141:{2,3,5,7}:{(110,1),(113,1),(125,1),(172,1),(173,1),(180,1),(187,1),(236,1),(273,1),(274,1)}
       142:{1,3,4,5}:{(111,1),(112,1),(119,1),(168,1),(174,1),(227,1),(288,1),(308,1),(314,1)}
       143:{2,4,6}:{(112,1),(113,1),(172,1),(174,1),(175,1)}
       144:{1,3,5,6}:{(113,1),(173,1),(175,1),(176,1),(227,1),(233,1),(243,1),(272,1)}
       145:{2,4,6}:{(114,1),(115,1),(170,1),(177,1)}
       146:{3,4,5,7}:{(115,1),(116,1),(119,1),(127,1),(177,1)}
       147:{2,3,4,7}:{(116,1),(117,1),(120,1),(172,1),(179,1),(249,1),(274,1)}
       148:{1,3,5,7}:{(117,1),(118,1),(121,1),(129,1),(179,1),(180,1)}
       149:{2,3,4,5}:{(119,1),(120,1),(174,1),(181,1),(275,1),(288,1)}
       150:{1,3,4,6}:{(120,1),(121,1),(175,1),(179,1),(181,1),(182,1),(233,1)}
       151:{2,5,6}:{(121,1),(180,1),(182,1)}
       152:{2,4,5,7}:{(122,1),(123,1),(183,1),(184,1),(187,1)}
       153:{3,4,6,7}:{(122,1),(167,1),(184,1),(195,1),(224,1),(238,1),(249,1)}
       154:{1,4,5,6}:{(123,1),(126,1),(170,1),(183,1),(186,1),(243,1),(281,1)}
       155:{1,3,5,7}:{(123,1),(124,1),(127,1),(184,1),(186,1),(187,1)}
       156:{2,4,6,7}:{(124,1),(125,1),(172,1),(187,1),(188,1),(229,1)}
       157:{1,3,6,7}:{(125,1),(173,1),(188,1),(189,1),(272,1)}
       158:{3,5,6}:{(126,1),(127,1),(177,1),(305,1)}
       159:{2,3,5,7}:{(127,1),(128,1),(131,1),(187,1),(190,1),(191,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(179,1),(188,1),(191,1),(192,1),(195,1),(234,1),(245,1),(249,1),(286,1)}
       161:{2,6,7}:{(129,1),(180,1)}
       162:{2,4,5,6}:{(130,1),(131,1),(190,1),(193,1),(307,1)}
       163:{1,4,5,7}:{(131,1),(132,1),(191,1),(193,1),(194,1),(286,1)}
       164:{2,4,6,7}:{(132,1),(133,1),(194,1),(195,1)}
       165:{2,5,6}:{(134,1),(138,1),(196,1),(289,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(136,1),(139,1),(196,1),(197,1)}
       167:{3,4,7}:{(135,1),(137,1),(197,1)}
       168:{3,5}:{(136,1),(137,1)}
       169:{2,3,4,6}:{(137,1),(143,1),(198,1),(199,1),(200,1),(211,1),(250,1),(261,1),(311,1)}
       170:{1,4,6}:{(138,1),(139,1),(145,1),(196,1)}
       171:{1,3,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(197,1),(201,1),(202,1),(212,1),(251,1),(263,1),(296,1)}
       172:{2,4,7}:{(140,1),(141,1),(143,1),(203,1)}
       173:{1,3,5,7}:{(141,1),(144,1),(157,1),(203,1),(204,1),(217,1),(257,1)}
       174:{2,4,5}:{(142,1),(143,1),(199,1),(205,1),(253,1)}
       175:{1,4,6}:{(143,1),(144,1),(203,1),(205,1)}
       176:{1,2,5,6}:{(144,1),(151,1),(204,1),(206,1),(253,1),(289,1)}
       177:{3,4,6}:{(145,1),(146,1),(158,1)}
       178:{2,3,4,5,7}:{(146,1),(147,1),(149,1),(159,1),(202,1),(207,1),(208,1),(290,1),(296,1),(298,1),(312,1)}
       179:{1,3,4,7}:{(147,1),(148,1),(150,1),(203,1),(209,1),(257,1)}
       180:{2,5,7}:{(148,1),(151,1),(161,1),(209,1)}
       181:{1,3,4,5}:{(149,1),(150,1),(205,1),(210,1),(258,1)}
       182:{2,4,6}:{(150,1),(151,1),(209,1),(210,1),(211,1)}
       183:{2,4,5,6}:{(152,1),(154,1),(196,1),(213,1),(216,1),(262,1)}
       184:{3,5,7}:{(152,1),(153,1),(213,1)}
       185:{2,3,4,6,7}:{(153,1),(156,1),(198,1),(214,1),(215,1),(221,1),(250,1),(262,1),(270,1),(294,1)}
       186:{1,3,5,6}:{(154,1),(155,1),(158,1),(201,1),(213,1),(216,1)}
       187:{2,5,7}:{(155,1),(156,1),(216,1),(217,1)}
       188:{1,4,6,7}:{(156,1),(157,1),(203,1),(217,1),(255,1)}
       189:{1,2,6,7}:{(157,1),(161,1),(204,1),(289,1)}
       190:{2,3,5,6}:{(158,1),(159,1),(162,1),(207,1),(216,1),(219,1)}
       191:{1,3,5,7}:{(159,1),(160,1),(163,1),(217,1),(219,1),(220,1),(223,1)}
       192:{2,4,6,7}:{(160,1),(161,1),(209,1),(220,1),(221,1),(259,1),(270,1)}
       193:{1,4,5,6}:{(162,1),(163,1),(219,1),(222,1),(299,1)}
       194:{2,4,5,7}:{(163,1),(164,1),(220,1),(222,1),(223,1),(270,1)}
       195:{3,6,7}:{(164,1),(223,1)}
       196:{2,4,6}:{(165,1),(166,1),(170,1),(224,1)}
       197:{3,5,7}:{(166,1),(167,1),(168,1),(224,1)}
       198:{2,3,4,7}:{(167,1),(169,1),(172,1),(225,1),(226,1),(236,1),(306,1)}
       199:{2,3,5}:{(168,1),(169,1),(174,1),(227,1),(314,1)}
       200:{1,3,4,6}:{(169,1),(175,1),(226,1),(227,1),(228,1),(233,1),(272,1),(278,1)}
       201:{1,3,4,6}:{(170,1),(171,1),(177,1),(186,1),(224,1),(229,1),(238,1),(272,1),(281,1),(305,1)}
       202:{2,4,5,7}:{(171,1),(172,1),(174,1),(187,1),(225,1),(229,1),(230,1),(273,1)}
       203:{1,4,7}:{(172,1),(173,1),(175,1)}
       204:{1,2,5,7}:{(173,1),(176,1),(180,1),(189,1),(231,1),(273,1)}
       205:{1,4,5}:{(174,1),(175,1),(227,1)}
       206:{1,2,4,6}:{(175,1),(176,1),(182,1),(228,1),(231,1),(232,1),(233,1)}
       207:{2,3,4,6}:{(177,1),(178,1),(190,1),(229,1),(234,1),(301,1),(305,1),(307,1)}
       208:{1,3,4,5,7}:{(178,1),(179,1),(181,1),(191,1),(230,1),(234,1),(235,1),(249,1),(277,1),(286,1),(288,1),(308,1)}
       209:{2,4,7}:{(179,1),(180,1),(182,1),(236,1)}
       210:{2,4,5}:{(181,1),(182,1),(237,1)}
       211:{2,3,6}:{(182,1),(233,1),(236,1),(237,1)}
       212:{3,4,5,7}:{(184,1),(238,1),(239,1),(249,1),(288,1)}
       213:{3,5,6}:{(183,1),(184,1),(224,1),(238,1)}
       214:{2,3,5,7}:{(184,1),(185,1),(187,1),(239,1),(240,1),(241,1),(304,1)}
       215:{1,3,4,6,7}:{(185,1),(188,1),(226,1),(241,1),(242,1),(245,1),(272,1),(281,1),(286,1),(303,1),(305,1),(306,1)}
       216:{2,5,6}:{(186,1),(187,1),(229,1),(243,1)}
       217:{1,5,7}:{(187,1),(188,1),(243,1)}
       218:{1,2,4,6,7}:{(188,1),(189,1),(192,1),(231,1),(242,1),(244,1),(245,1),(276,1),(286,1)}
       219:{1,3,5,6}:{(190,1),(191,1),(193,1),(234,1),(243,1),(246,1),(248,1)}
       220:{2,5,7}:{(191,1),(192,1),(246,1)}
       221:{2,3,6,7}:{(192,1),(195,1),(236,1),(245,1),(247,1),(279,1)}
       222:{2,4,5,6}:{(193,1),(194,1),(246,1),(248,1),(287,1)}
       223:{3,5,7}:{(194,1),(195,1),(248,1),(249,1)}
       224:{3,6}:{(196,1),(197,1)}
       225:{2,3,5,7}:{(197,1),(198,1),(199,1),(202,1),(250,1),(251,1),(296,1)}
       226:{1,3,4,7}:{(198,1),(200,1),(203,1),(251,1),(252,1),(257,1)}
       227:{1,3,5}:{(199,1),(200,1),(205,1),(253,1)}
       228:{2,4,6}:{(200,1),(252,1),(253,1),(254,1),(289,1),(291,1)}
       229:{2,4,6}:{(201,1),(202,1),(216,1),(250,1),(255,1),(289,1)}
       230:{1,4,5,7}:{(202,1),(203,1),(205,1),(217,1),(251,1),(255,1)}
       231:{1,2,4,7}:{(203,1),(204,1),(206,1),(209,1),(252,1),(257,1)}
       232:{1,2,4,5}:{(205,1),(206,1),(210,1),(253,1),(258,1),(291,1)}
       233:{1,3,6}:{(206,1),(211,1),(254,1),(257,1),(258,1)}
       234:{1,3,4,6}:{(207,1),(208,1),(219,1),(255,1),(259,1),(271,1),(292,1),(299,1)}
       235:{2,4,5,7}:{(208,1),(209,1),(210,1),(220,1),(259,1),(260,1),(270,1),(300,1)}
       236:{2,3,7}:{(209,1),(211,1),(257,1)}
       237:{2,3,5}:{(210,1),(211,1),(258,1),(261,1)}
       238:{3,4,6}:{(212,1),(213,1),(262,1)}
       239:{2,4,5,7}:{(212,1),(214,1),(262,1),(263,1),(270,1),(300,1)}
       240:{2,3,5,6}:{(213,1),(214,1),(216,1),(250,1),(262,1),(264,1)}
       241:{1,3,5,7}:{(214,1),(215,1),(217,1),(263,1),(264,1),(265,1),(296,1),(310,1)}
       242:{2,4,6,7}:{(215,1),(252,1),(265,1),(266,1),(289,1),(295,1),(298,1),(309,1)}
       243:{1,5,6}:{(216,1),(217,1),(255,1)}
       244:{1,2,5,7}:{(217,1),(218,1),(220,1),(265,1),(267,1),(268,1)}
       245:{1,3,6,7}:{(218,1),(221,1),(257,1),(266,1),(268,1),(292,1)}
       246:{2,5,6}:{(219,1),(220,1),(259,1)}
       247:{2,3,5,7}:{(220,1),(221,1),(223,1),(268,1),(269,1),(270,1)}
       248:{3,5,6}:{(222,1),(223,1),(271,1)}
       249:{3,4,7}:{(223,1),(270,1),(271,1)}
       250:{2,3,6}:{(224,1),(225,1),(229,1),(272,1),(305,1)}
       251:{1,3,5,7}:{(225,1),(226,1),(227,1),(230,1),(272,1),(273,1)}
       252:{2,4,7}:{(226,1),(228,1),(273,1),(274,1)}
       253:{2,5}:{(227,1),(228,1)}
       254:{2,3,6}:{(228,1),(233,1),(274,1),(275,1)}
       255:{1,4,6}:{(229,1),(230,1),(243,1),(272,1)}
       256:{1,2,4,5,7}:{(230,1),(231,1),(232,1),(235,1),(244,1),(273,1),(276,1),(277,1),(282,1),(286,1),(302,1),(308,1),(313,1)}
       257:{1,3,7}:{(231,1),(233,1),(236,1),(274,1)}
       258:{1,3,5}:{(232,1),(233,1),(237,1),(275,1),(278,1)}
       259:{2,4,6}:{(234,1),(235,1),(246,1),(279,1)}
       260:{2,3,5,7}:{(235,1),(236,1),(237,1),(277,1),(279,1),(280,1),(304,1)}
       261:{2,3,4}:{(237,1),(278,1)}
       262:{2,4,6}:{(238,1),(239,1),(240,1),(281,1)}
       263:{1,4,5,7}:{(239,1),(241,1),(281,1),(282,1),(286,1),(308,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(243,1),(272,1),(281,1),(283,1),(305,1)}
       265:{2,5,7}:{(241,1),(242,1),(283,1),(313,1)}
       266:{2,3,6,7}:{(242,1),(245,1),(274,1),(284,1),(301,1),(305,1)}
       267:{1,2,5,6}:{(243,1),(244,1),(246,1),(276,1),(283,1),(285,1),(313,1)}
       268:{1,3,5,7}:{(244,1),(245,1),(247,1),(284,1),(285,1),(286,1)}
       269:{2,3,5,6}:{(246,1),(247,1),(248,1),(279,1),(285,1),(287,1),(304,1)}
       270:{2,4,7}:{(247,1),(249,1),(286,1),(287,1)}
       271:{3,4,6}:{(248,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(250,1),(251,1),(255,1),(289,1)}
       273:{2,5,7}:{(251,1),(252,1),(253,1),(289,1)}
       274:{2,3,7}:{(252,1),(254,1),(257,1)}
       275:{2,3,5}:{(253,1),(254,1),(258,1),(291,1)}
       276:{1,2,4,6}:{(255,1),(256,1),(259,1),(267,1),(289,1),(292,1),(295,1),(299,1),(309,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(258,1),(260,1),(290,1),(292,1),(293,1),(296,1),(310,1)}
       278:{1,3,4}:{(258,1),(261,1),(291,1)}
       279:{2,3,6}:{(259,1),(260,1),(292,1)}
       280:{2,3,4,7}:{(260,1),(261,1),(270,1),(293,1),(294,1)}
       281:{1,4,6}:{(262,1),(263,1),(264,1),(295,1)}
       282:{2,4,5,7}:{(263,1),(265,1),(295,1),(296,1),(298,1),(312,1)}
       283:{2,5,6}:{(264,1),(265,1),(289,1),(295,1)}
       284:{2,3,5,7}:{(265,1),(266,1),(268,1),(296,1),(297,1),(298,1)}
       285:{1,3,5,6}:{(267,1),(268,1),(269,1),(292,1),(297,1),(299,1),(310,1)}
       286:{1,4,7}:{(268,1),(270,1),(298,1),(299,1)}
       287:{2,4,6}:{(269,1),(270,1),(271,1),(299,1),(300,1)}
       288:{3,4,5}:{(271,1),(300,1)}
       289:{2,6}:{(272,1),(273,1)}
       290:{2,3,5,7}:{(273,1),(274,1),(275,1),(277,1),(301,1),(302,1),(313,1)}
       291:{2,4}:{(275,1),(278,1)}
       292:{1,3,6}:{(276,1),(277,1),(279,1),(301,1),(305,1)}
       293:{1,3,4,7}:{(277,1),(278,1),(280,1),(286,1),(302,1),(303,1),(306,1)}
       294:{2,3,4,6}:{(279,1),(280,1),(287,1),(303,1),(304,1)}
       295:{2,4,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{3,5,7}:{(282,1),(305,1),(306,1),(314,1)}
       297:{2,3,5,6}:{(283,1),(284,1),(285,1),(301,1),(305,1),(307,1),(313,1),(314,1)}
       298:{2,4,7}:{(284,1),(286,1),(306,1),(307,1)}
       299:{1,4,6}:{(285,1),(286,1),(287,1),(307,1),(308,1)}
       300:{2,4,5}:{(287,1),(288,1),(304,1),(308,1)}
       301:{2,3,6}:{(289,1),(290,1),(292,1),(309,1)}
       302:{2,4,7}:{(290,1),(291,1),(293,1),(309,1)}
       303:{1,3,4,6}:{(292,1),(293,1),(294,1),(299,1),(309,1),(310,1),(311,1)}
       304:{2,3,5}:{(294,1),(300,1),(310,1)}
       305:{3,6}:{(295,1),(296,1)}
       306:{3,4,7}:{(296,1),(298,1),(311,1)}
       307:{2,4,6}:{(297,1),(298,1),(299,1),(311,1),(312,1)}
       308:{1,4,5}:{(299,1),(300,1),(310,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       310:{1,3,5}:{(303,1),(304,1),(308,1),(313,1),(314,1)}
       311:{3,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       312:{2,4,5}:{(307,1),(308,1),(313,1),(314,1)}
       313:{2,5}:{(309,1),(310,1)}
       314:{3,5}:{(311,1),(312,1)}

2131 :   0:{2,4,5,6,7}:{(1,1),(2,1),(12,1),(15,1),(91,1),(165,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(26,1),(31,1),(62,1),(142,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(124,1),(205,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(12,1),(37,1),(53,1),(114,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(183,1)}
         5:{3,4,5,6}:{(13,1),(14,1),(244,1),(262,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(15,1)}
         7:{2,3,5,6,7}:{(2,1),(12,1),(15,1),(16,1),(45,1),(48,1)}
         8:{2,3,4,5,7}:{(17,1),(18,1),(41,1),(48,1),(96,1),(117,1),(237,1),(254,1),(259,1),(263,1),(301,1)}
         9:{3,5,6,7}:{(3,1),(20,1),(80,1),(151,1)}
        10:{1,3,4,5,6}:{(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(70,1),(78,1),(122,1),(138,1),(224,1)}
        11:{1,3,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(25,1),(31,1),(62,1),(72,1),(80,1),(124,1)}
        12:{2,5,6,7}:{(4,1),(25,1),(26,1),(223,1)}
        13:{3,4,5,7}:{(5,1),(6,1),(27,1),(205,1),(284,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(229,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(27,1),(31,1)}
        16:{1,3,5,6,7}:{(7,1),(26,1),(31,1),(32,1),(72,1),(75,1),(80,1)}
        17:{2,3,4,6}:{(8,1),(28,1),(33,1),(153,1),(229,1),(269,1),(282,1),(310,1)}
        18:{1,3,4,5,7}:{(8,1),(33,1),(34,1),(67,1),(75,1),(84,1),(130,1),(145,1),(148,1),(226,1),(230,1),(281,1)}
        19:{3,4,5,6}:{(35,1),(36,1),(194,1),(292,1)}
        20:{3,4,6,7}:{(9,1),(35,1),(37,1)}
        21:{2,3,5,6,7}:{(9,1),(12,1),(37,1),(38,1),(45,1),(86,1)}
        22:{2,3,4,5,7}:{(39,1),(40,1),(41,1),(86,1),(96,1),(168,1),(187,1),(254,1),(289,1),(293,1),(311,1)}
        23:{1,3,4,5,7}:{(10,1),(11,1),(13,1),(35,1),(42,1),(49,1),(87,1),(99,1),(107,1),(158,1),(177,1),(183,1)}
        24:{2,4,5,6}:{(10,1),(42,1),(43,1),(44,1),(101,1),(179,1),(258,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(103,1)}
        26:{1,5,6,7}:{(12,1),(46,1),(257,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(259,1)}
        28:{2,3,5,6}:{(14,1),(17,1),(48,1),(50,1),(244,1),(258,1)}
        29:{1,4,5,6}:{(14,1),(49,1),(50,1),(51,1),(189,1)}
        30:{2,3,4,6,7}:{(15,1),(17,1),(45,1),(48,1),(52,1),(96,1),(164,1),(182,1),(191,1),(259,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(49,1),(53,1)}
        32:{2,5,6,7}:{(16,1),(53,1),(103,1),(106,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(50,1),(55,1),(110,1),(115,1),(189,1),(300,1)}
        34:{2,4,5,7}:{(18,1),(55,1),(57,1),(98,1),(106,1),(170,1),(186,1),(190,1)}
        35:{3,4,5,7}:{(19,1),(20,1),(58,1),(151,1),(303,1)}
        36:{2,4,5,6}:{(19,1),(58,1),(59,1),(60,1),(270,1)}
        37:{2,4,6,7}:{(20,1),(21,1),(58,1),(62,1)}
        38:{1,3,5,6,7}:{(21,1),(26,1),(62,1),(63,1),(72,1),(119,1),(124,1)}
        39:{2,3,4,6}:{(22,1),(59,1),(64,1),(207,1),(228,1),(270,1),(282,1),(314,1)}
        40:{1,3,4,5,7}:{(22,1),(64,1),(65,1),(67,1),(119,1),(128,1),(130,1),(199,1),(202,1),(267,1),(271,1),(281,1)}
        41:{2,3,4,5}:{(66,1),(67,1),(148,1),(202,1),(215,1),(221,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(25,1),(68,1),(69,1),(134,1),(218,1),(223,1)}
        43:{2,3,5,6}:{(24,1),(66,1),(68,1),(70,1),(78,1),(122,1)}
        44:{1,4,5,6}:{(24,1),(69,1),(70,1),(220,1),(283,1)}
        45:{2,3,6,7}:{(25,1),(68,1),(72,1),(80,1),(124,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(69,1),(72,1)}
        47:{1,2,5,6,7}:{(26,1),(32,1),(63,1),(73,1),(74,1),(139,1),(143,1),(197,1),(223,1),(283,1),(288,1),(307,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(30,1),(75,1),(205,1),(223,1)}
        49:{1,4,5,7}:{(27,1),(29,1),(31,1),(75,1),(76,1),(226,1)}
        50:{1,3,5,6}:{(28,1),(29,1),(33,1),(75,1),(77,1),(78,1),(283,1)}
        51:{2,4,5,6}:{(29,1),(76,1),(77,1),(78,1),(147,1)}
        52:{1,3,4,6,7}:{(30,1),(31,1),(33,1),(72,1),(75,1),(79,1),(80,1),(130,1),(145,1),(149,1),(222,1),(226,1)}
        53:{2,4,6,7}:{(31,1),(32,1),(76,1),(80,1)}
        54:{2,3,5,6,7}:{(32,1),(74,1),(80,1),(81,1),(140,1),(144,1),(151,1),(223,1),(233,1),(266,1),(307,1),(314,1)}
        55:{2,4,6}:{(33,1),(34,1),(77,1),(83,1)}
        56:{1,2,4,5,7}:{(34,1),(82,1),(84,1),(132,1),(143,1),(156,1),(211,1),(226,1),(230,1),(234,1),(281,1),(285,1),(308,1)}
        57:{2,3,5,7}:{(34,1),(83,1),(84,1),(85,1),(133,1),(155,1),(212,1)}
        58:{2,4,5,7}:{(35,1),(36,1),(37,1),(86,1),(87,1),(289,1)}
        59:{2,3,5,6}:{(36,1),(39,1),(86,1),(88,1),(194,1),(258,1)}
        60:{1,4,5,6}:{(36,1),(87,1),(88,1),(89,1),(239,1)}
        61:{2,3,4,6,7}:{(37,1),(39,1),(45,1),(86,1),(90,1),(96,1),(113,1),(182,1),(241,1),(289,1)}
        62:{1,4,6,7}:{(37,1),(38,1),(87,1),(91,1)}
        63:{2,5,6,7}:{(38,1),(91,1),(103,1),(157,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(88,1),(93,1),(161,1),(166,1),(239,1),(300,1)}
        65:{2,4,5,7}:{(40,1),(93,1),(95,1),(98,1),(157,1),(170,1),(236,1),(240,1)}
        66:{2,3,4,6}:{(41,1),(43,1),(96,1),(97,1),(110,1),(161,1),(179,1),(249,1)}
        67:{1,3,4,5}:{(41,1),(97,1),(98,1),(173,1),(256,1)}
        68:{2,3,5,7}:{(42,1),(43,1),(45,1),(96,1),(99,1),(107,1),(158,1)}
        69:{1,4,5,7}:{(42,1),(44,1),(46,1),(99,1),(253,1),(257,1)}
        70:{1,3,5,6}:{(43,1),(44,1),(97,1),(99,1),(101,1)}
        71:{1,2,4,5,6}:{(44,1),(51,1),(89,1),(100,1),(101,1),(102,1),(108,1),(159,1),(171,1),(179,1),(184,1),(189,1),(239,1),(256,1),(258,1),(263,1),(293,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(99,1),(103,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(53,1),(91,1),(100,1),(103,1),(104,1),(105,1),(182,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,5,6,7}:{(47,1),(54,1),(92,1),(104,1),(105,1),(181,1),(183,1),(185,1),(235,1),(257,1),(265,1),(295,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(52,1),(106,1),(107,1),(257,1)}
        76:{2,4,5,7}:{(49,1),(51,1),(53,1),(106,1),(107,1),(186,1)}
        77:{2,5,6}:{(50,1),(55,1),(106,1)}
        78:{3,5,6}:{(51,1),(107,1),(110,1)}
        79:{2,4,6,7}:{(52,1),(55,1),(103,1),(106,1),(112,1),(170,1),(186,1)}
        80:{3,6,7}:{(53,1),(107,1)}
        81:{2,4,6,7}:{(54,1),(105,1),(113,1),(114,1),(186,1),(261,1),(289,1),(312,1)}
        82:{1,2,4,6}:{(55,1),(56,1),(108,1),(115,1),(189,1),(195,1),(300,1),(302,1),(313,1)}
        83:{2,3,6}:{(55,1),(57,1),(115,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(115,1),(117,1),(118,1),(173,1),(196,1),(247,1),(301,1)}
        85:{2,3,4,7}:{(57,1),(116,1),(118,1),(174,1),(186,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(119,1),(151,1),(223,1)}
        87:{1,4,5,7}:{(58,1),(60,1),(62,1),(119,1),(120,1),(267,1)}
        88:{1,3,5,6}:{(59,1),(60,1),(64,1),(119,1),(121,1),(122,1),(283,1)}
        89:{2,4,5,6}:{(60,1),(120,1),(121,1),(122,1),(201,1)}
        90:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(72,1),(119,1),(123,1),(124,1),(130,1),(199,1),(203,1),(222,1),(267,1)}
        91:{2,4,6,7}:{(62,1),(63,1),(120,1),(124,1)}
        92:{2,3,5,6,7}:{(63,1),(74,1),(124,1),(125,1),(140,1),(198,1),(205,1),(223,1),(225,1),(274,1),(288,1),(310,1)}
        93:{2,4,6}:{(64,1),(65,1),(121,1),(127,1)}
        94:{1,2,4,5,7}:{(65,1),(126,1),(128,1),(132,1),(197,1),(210,1),(211,1),(267,1),(271,1),(275,1),(281,1),(304,1),(308,1)}
        95:{2,3,5,7}:{(65,1),(127,1),(128,1),(129,1),(133,1),(209,1),(212,1)}
        96:{2,3,4,7}:{(66,1),(68,1),(130,1),(145,1),(199,1),(218,1),(276,1)}
        97:{1,3,4,6}:{(66,1),(67,1),(70,1),(130,1),(131,1),(213,1),(220,1)}
        98:{2,4,5}:{(67,1),(131,1),(133,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(130,1),(134,1)}
       100:{1,2,4,5,7}:{(69,1),(71,1),(73,1),(76,1),(120,1),(134,1),(135,1),(142,1),(143,1),(197,1),(211,1),(218,1),(223,1),(226,1),(267,1),(281,1),(285,1),(304,1),(308,1)}
       101:{2,5,6}:{(70,1),(131,1),(134,1)}
       102:{1,3,5,6}:{(71,1),(78,1),(122,1),(135,1),(137,1),(138,1),(213,1),(280,1),(287,1),(306,1),(309,1),(310,1),(314,1)}
       103:{2,6,7}:{(72,1),(134,1)}
       104:{1,3,6,7}:{(73,1),(80,1),(124,1),(135,1),(140,1),(309,1),(310,1),(314,1)}
       105:{1,4,6,7}:{(74,1),(81,1),(125,1),(142,1),(226,1),(267,1),(286,1),(305,1)}
       106:{2,5,7}:{(75,1),(77,1),(79,1)}
       107:{3,5,7}:{(76,1),(78,1),(80,1),(145,1)}
       108:{1,2,5,6}:{(77,1),(82,1),(143,1),(146,1),(234,1),(283,1),(288,1)}
       109:{2,3,5,6}:{(77,1),(78,1),(83,1),(144,1),(146,1),(147,1),(155,1)}
       110:{3,4,6}:{(78,1),(145,1),(147,1),(148,1)}
       111:{1,2,4,6,7}:{(79,1),(82,1),(139,1),(143,1),(149,1),(211,1),(222,1),(226,1),(231,1)}
       112:{2,3,6,7}:{(79,1),(80,1),(83,1),(144,1),(149,1),(212,1)}
       113:{3,4,6,7}:{(80,1),(81,1),(145,1),(151,1),(228,1),(303,1),(314,1)}
       114:{2,4,5,7}:{(81,1),(142,1),(151,1),(152,1),(223,1)}
       115:{1,3,6}:{(82,1),(83,1),(84,1),(153,1),(310,1)}
       116:{2,3,4,6}:{(83,1),(85,1),(147,1),(154,1),(155,1)}
       117:{2,3,5,7}:{(84,1),(153,1),(156,1),(215,1),(234,1),(276,1),(308,1)}
       118:{1,3,4,7}:{(84,1),(85,1),(154,1),(156,1),(216,1),(226,1),(284,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(90,1),(157,1),(158,1),(257,1)}
       120:{2,4,5,7}:{(87,1),(89,1),(91,1),(157,1),(158,1),(236,1)}
       121:{2,5,6}:{(88,1),(93,1),(157,1)}
       122:{3,5,6}:{(89,1),(158,1),(161,1)}
       123:{2,4,6,7}:{(90,1),(93,1),(103,1),(157,1),(163,1),(170,1),(236,1)}
       124:{3,6,7}:{(91,1),(158,1)}
       125:{2,4,6,7}:{(92,1),(105,1),(164,1),(165,1),(236,1),(259,1),(291,1),(302,1)}
       126:{1,2,4,6}:{(93,1),(94,1),(159,1),(166,1),(239,1),(245,1),(300,1),(312,1),(313,1)}
       127:{2,3,6}:{(93,1),(95,1),(166,1)}
       128:{1,3,5,7}:{(94,1),(95,1),(166,1),(168,1),(169,1),(173,1),(246,1),(247,1),(311,1)}
       129:{2,3,4,7}:{(95,1),(167,1),(169,1),(174,1),(236,1)}
       130:{1,3,4,7}:{(96,1),(97,1),(99,1),(170,1),(247,1),(253,1)}
       131:{2,4,6}:{(97,1),(98,1),(101,1),(170,1),(172,1)}
       132:{1,2,4,5}:{(98,1),(171,1),(173,1),(252,1),(256,1),(299,1)}
       133:{2,3,5}:{(98,1),(172,1),(173,1),(174,1)}
       134:{2,5,7}:{(99,1),(101,1),(103,1),(170,1)}
       135:{1,3,5,7}:{(100,1),(102,1),(104,1),(107,1),(158,1),(176,1),(177,1),(247,1),(301,1),(311,1)}
       136:{1,2,5,6}:{(101,1),(171,1),(175,1),(178,1),(299,1),(313,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(172,1),(176,1),(178,1),(179,1),(249,1),(251,1),(258,1),(298,1),(299,1),(313,1)}
       138:{1,3,4,6}:{(102,1),(110,1),(161,1),(177,1),(179,1),(180,1),(189,1),(239,1),(262,1),(292,1)}
       139:{1,2,6,7}:{(103,1),(175,1),(181,1),(313,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(176,1),(181,1),(182,1),(298,1),(313,1)}
       141:{1,3,4,6,7}:{(104,1),(105,1),(113,1),(164,1),(177,1),(182,1),(183,1),(255,1)}
       142:{1,4,5,7}:{(105,1),(114,1),(165,1),(183,1),(184,1),(257,1)}
       143:{1,2,5,7}:{(106,1),(108,1),(111,1),(185,1),(257,1),(264,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(109,1),(112,1),(185,1),(186,1)}
       145:{3,4,7}:{(107,1),(110,1),(186,1)}
       146:{1,3,5,6}:{(108,1),(109,1),(115,1),(185,1),(188,1),(189,1),(196,1)}
       147:{2,4,6}:{(109,1),(110,1),(186,1),(189,1),(190,1)}
       148:{3,4,5}:{(110,1),(190,1)}
       149:{1,3,6,7}:{(111,1),(112,1),(115,1),(185,1),(191,1),(247,1)}
       150:{2,3,4,6,7}:{(112,1),(113,1),(116,1),(182,1),(186,1),(192,1),(193,1),(248,1),(261,1),(298,1)}
       151:{3,5,7}:{(113,1),(114,1),(194,1)}
       152:{2,4,5,6}:{(114,1),(184,1),(194,1),(258,1),(261,1),(312,1)}
       153:{2,3,6}:{(115,1),(117,1),(195,1),(313,1)}
       154:{1,3,4,6}:{(115,1),(116,1),(118,1),(189,1),(195,1),(196,1),(262,1)}
       155:{2,3,5}:{(116,1),(190,1),(196,1)}
       156:{2,4,7}:{(117,1),(118,1),(195,1),(252,1)}
       157:{2,5,7}:{(119,1),(121,1),(123,1)}
       158:{3,5,7}:{(120,1),(122,1),(124,1),(199,1)}
       159:{1,2,5,6}:{(121,1),(126,1),(197,1),(200,1),(275,1),(283,1),(307,1)}
       160:{2,3,5,6}:{(121,1),(122,1),(127,1),(198,1),(200,1),(201,1),(209,1)}
       161:{3,4,6}:{(122,1),(199,1),(201,1),(202,1)}
       162:{1,2,4,6,7}:{(123,1),(126,1),(139,1),(197,1),(203,1),(211,1),(222,1),(267,1),(272,1)}
       163:{2,3,6,7}:{(123,1),(124,1),(127,1),(198,1),(203,1),(212,1)}
       164:{3,4,6,7}:{(124,1),(125,1),(199,1),(205,1),(269,1),(284,1),(310,1)}
       165:{2,4,5,7}:{(125,1),(142,1),(205,1),(206,1),(223,1)}
       166:{1,3,6}:{(126,1),(127,1),(128,1),(207,1),(314,1)}
       167:{2,3,4,6}:{(127,1),(129,1),(201,1),(208,1),(209,1)}
       168:{2,3,5,7}:{(128,1),(207,1),(210,1),(215,1),(275,1),(276,1),(308,1)}
       169:{1,3,4,7}:{(128,1),(129,1),(208,1),(210,1),(216,1),(267,1),(303,1)}
       170:{2,4,7}:{(130,1),(131,1),(134,1),(212,1)}
       171:{1,2,4,6}:{(131,1),(132,1),(136,1),(211,1),(213,1),(220,1),(279,1)}
       172:{2,3,6}:{(131,1),(133,1),(212,1),(213,1)}
       173:{1,3,5}:{(132,1),(133,1),(213,1),(215,1),(216,1)}
       174:{2,3,4}:{(133,1),(216,1)}
       175:{1,2,5,7}:{(134,1),(136,1),(139,1),(211,1),(217,1),(308,1)}
       176:{2,3,5,7}:{(134,1),(135,1),(137,1),(140,1),(212,1),(217,1),(218,1),(223,1),(276,1),(308,1)}
       177:{1,3,4,7}:{(135,1),(138,1),(145,1),(199,1),(218,1),(226,1),(267,1),(284,1),(303,1)}
       178:{1,3,5,6}:{(136,1),(137,1),(213,1),(217,1),(220,1),(280,1),(283,1),(309,1)}
       179:{2,4,6}:{(137,1),(138,1),(218,1),(220,1),(221,1)}
       180:{1,3,4,5}:{(138,1),(148,1),(202,1),(221,1),(230,1),(271,1),(280,1),(287,1),(306,1)}
       181:{1,3,6,7}:{(139,1),(140,1),(217,1),(222,1),(309,1)}
       182:{2,4,6,7}:{(140,1),(141,1),(218,1),(222,1),(223,1),(282,1)}
       183:{1,3,5,7}:{(141,1),(142,1),(151,1),(205,1),(223,1),(224,1)}
       184:{1,4,5,6}:{(142,1),(152,1),(206,1),(224,1),(283,1),(286,1),(305,1)}
       185:{1,3,5,7}:{(143,1),(144,1),(146,1),(149,1),(225,1),(226,1)}
       186:{2,4,7}:{(144,1),(145,1),(147,1),(226,1)}
       187:{3,4,5,7}:{(145,1),(148,1),(151,1),(227,1),(228,1)}
       188:{2,3,5,6}:{(146,1),(153,1),(225,1),(229,1),(234,1),(287,1),(288,1),(310,1)}
       189:{1,4,6}:{(146,1),(147,1),(226,1),(229,1),(230,1)}
       190:{2,4,5}:{(147,1),(148,1),(155,1),(230,1)}
       191:{2,3,6,7}:{(149,1),(153,1),(225,1),(231,1),(276,1),(310,1)}
       192:{1,3,4,6,7}:{(149,1),(150,1),(154,1),(222,1),(226,1),(231,1),(232,1),(277,1),(284,1),(286,1),(309,1),(310,1)}
       193:{2,3,5,7}:{(150,1),(151,1),(155,1),(223,1),(227,1),(232,1),(233,1)}
       194:{3,5,6}:{(151,1),(152,1),(228,1),(314,1)}
       195:{2,4,6}:{(153,1),(154,1),(156,1),(234,1)}
       196:{1,3,5}:{(154,1),(155,1),(230,1),(234,1),(287,1)}
       197:{1,2,5,7}:{(157,1),(159,1),(162,1),(235,1),(257,1),(294,1)}
       198:{2,3,5,7}:{(157,1),(158,1),(160,1),(163,1),(235,1),(236,1)}
       199:{3,4,7}:{(158,1),(161,1),(236,1)}
       200:{1,3,5,6}:{(159,1),(160,1),(166,1),(235,1),(238,1),(239,1),(246,1)}
       201:{2,4,6}:{(160,1),(161,1),(236,1),(239,1),(240,1)}
       202:{3,4,5}:{(161,1),(240,1)}
       203:{1,3,6,7}:{(162,1),(163,1),(166,1),(235,1),(241,1),(247,1)}
       204:{2,3,4,6,7}:{(163,1),(164,1),(167,1),(182,1),(236,1),(242,1),(243,1),(248,1),(291,1),(298,1)}
       205:{3,5,7}:{(164,1),(165,1),(244,1)}
       206:{2,4,5,6}:{(165,1),(184,1),(244,1),(258,1),(291,1),(302,1)}
       207:{2,3,6}:{(166,1),(168,1),(245,1),(313,1)}
       208:{1,3,4,6}:{(166,1),(167,1),(169,1),(239,1),(245,1),(246,1),(292,1)}
       209:{2,3,5}:{(167,1),(240,1),(246,1)}
       210:{2,4,7}:{(168,1),(169,1),(245,1),(252,1)}
       211:{1,2,4,7}:{(170,1),(171,1),(175,1),(247,1),(253,1),(296,1)}
       212:{2,3,7}:{(170,1),(172,1),(247,1)}
       213:{1,3,6}:{(171,1),(172,1),(173,1),(247,1),(249,1)}
       214:{2,3,4,6}:{(172,1),(174,1),(179,1),(248,1),(250,1),(251,1),(262,1),(292,1),(298,1)}
       215:{2,3,5}:{(173,1),(249,1),(252,1),(299,1)}
       216:{1,3,4}:{(173,1),(174,1),(252,1)}
       217:{1,3,5,7}:{(175,1),(176,1),(178,1),(181,1),(247,1),(253,1),(257,1)}
       218:{2,4,7}:{(176,1),(177,1),(179,1),(253,1)}
       219:{1,3,4,5,7}:{(177,1),(180,1),(183,1),(187,1),(237,1),(254,1),(255,1),(260,1),(290,1),(297,1),(301,1),(311,1)}
       220:{1,4,6}:{(178,1),(179,1),(253,1),(256,1)}
       221:{2,4,5}:{(179,1),(180,1),(251,1),(256,1),(299,1)}
       222:{1,4,6,7}:{(181,1),(182,1),(253,1),(257,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(257,1),(258,1)}
       224:{1,3,5,6}:{(183,1),(184,1),(194,1),(244,1),(255,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(188,1),(191,1),(259,1),(264,1),(301,1)}
       226:{1,4,7}:{(185,1),(186,1),(189,1),(259,1)}
       227:{2,4,5,7}:{(186,1),(187,1),(190,1),(193,1),(260,1),(261,1)}
       228:{3,4,6}:{(187,1),(194,1),(261,1)}
       229:{2,4,6}:{(188,1),(189,1),(259,1),(262,1),(263,1)}
       230:{1,4,5}:{(189,1),(190,1),(196,1),(263,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(195,1),(259,1),(264,1),(296,1),(302,1),(313,1)}
       232:{1,3,5,7}:{(192,1),(193,1),(196,1),(257,1),(260,1),(264,1),(265,1),(301,1)}
       233:{2,3,5,6}:{(193,1),(194,1),(258,1),(261,1),(265,1),(298,1)}
       234:{2,5}:{(195,1),(196,1)}
       235:{1,3,5,7}:{(197,1),(198,1),(200,1),(203,1),(266,1),(267,1)}
       236:{2,4,7}:{(198,1),(199,1),(201,1),(267,1)}
       237:{3,4,5,7}:{(199,1),(202,1),(205,1),(268,1),(269,1)}
       238:{2,3,5,6}:{(200,1),(207,1),(266,1),(270,1),(275,1),(306,1),(307,1),(314,1)}
       239:{1,4,6}:{(200,1),(201,1),(267,1),(270,1),(271,1)}
       240:{2,4,5}:{(201,1),(202,1),(209,1),(271,1)}
       241:{2,3,6,7}:{(203,1),(207,1),(266,1),(272,1),(276,1),(314,1)}
       242:{1,3,4,6,7}:{(203,1),(204,1),(208,1),(222,1),(267,1),(272,1),(273,1),(277,1),(303,1),(305,1),(309,1),(314,1)}
       243:{2,3,5,7}:{(204,1),(205,1),(209,1),(223,1),(268,1),(273,1),(274,1)}
       244:{3,5,6}:{(205,1),(206,1),(269,1),(310,1)}
       245:{2,4,6}:{(207,1),(208,1),(210,1),(275,1)}
       246:{1,3,5}:{(208,1),(209,1),(271,1),(275,1),(306,1)}
       247:{1,3,7}:{(211,1),(212,1),(213,1),(276,1)}
       248:{2,3,4,7}:{(212,1),(214,1),(218,1),(277,1),(278,1),(284,1),(303,1)}
       249:{2,3,6}:{(213,1),(215,1),(276,1),(279,1)}
       250:{1,3,4,6}:{(213,1),(214,1),(216,1),(220,1),(277,1),(279,1),(280,1),(309,1)}
       251:{2,3,5}:{(214,1),(221,1),(280,1),(287,1),(306,1)}
       252:{2,4}:{(215,1),(216,1)}
       253:{1,4,7}:{(217,1),(218,1),(220,1)}
       254:{2,4,5,7}:{(218,1),(219,1),(221,1),(223,1),(278,1),(281,1),(282,1),(308,1)}
       255:{1,3,4,6}:{(219,1),(224,1),(228,1),(269,1),(282,1),(286,1),(305,1),(309,1),(310,1),(314,1)}
       256:{1,4,5}:{(220,1),(221,1),(280,1)}
       257:{1,5,7}:{(222,1),(223,1),(283,1)}
       258:{2,5,6}:{(223,1),(224,1),(282,1),(283,1)}
       259:{2,4,7}:{(225,1),(226,1),(229,1),(284,1)}
       260:{1,4,5,7}:{(226,1),(227,1),(230,1),(232,1),(285,1),(286,1)}
       261:{2,4,6}:{(227,1),(228,1),(233,1),(286,1)}
       262:{3,4,6}:{(229,1),(284,1),(287,1),(310,1)}
       263:{2,4,5}:{(229,1),(230,1),(234,1),(287,1)}
       264:{2,5,7}:{(231,1),(232,1),(234,1),(288,1)}
       265:{1,3,5,6}:{(232,1),(233,1),(283,1),(286,1),(288,1),(309,1),(310,1)}
       266:{2,3,5,7}:{(235,1),(238,1),(241,1),(289,1),(294,1),(311,1)}
       267:{1,4,7}:{(235,1),(236,1),(239,1),(289,1)}
       268:{2,4,5,7}:{(236,1),(237,1),(240,1),(243,1),(290,1),(291,1)}
       269:{3,4,6}:{(237,1),(244,1),(291,1)}
       270:{2,4,6}:{(238,1),(239,1),(289,1),(292,1),(293,1)}
       271:{1,4,5}:{(239,1),(240,1),(246,1),(293,1)}
       272:{2,4,6,7}:{(241,1),(242,1),(245,1),(289,1),(294,1),(296,1),(312,1),(313,1)}
       273:{1,3,5,7}:{(242,1),(243,1),(246,1),(257,1),(290,1),(294,1),(295,1),(311,1)}
       274:{2,3,5,6}:{(243,1),(244,1),(258,1),(291,1),(295,1),(298,1)}
       275:{2,5}:{(245,1),(246,1)}
       276:{2,3,7}:{(247,1),(249,1),(296,1)}
       277:{1,3,4,7}:{(247,1),(248,1),(250,1),(253,1),(296,1),(297,1)}
       278:{2,3,5,7}:{(248,1),(251,1),(254,1),(297,1),(298,1),(301,1),(311,1)}
       279:{2,4,6}:{(249,1),(250,1),(252,1),(296,1),(299,1),(313,1)}
       280:{1,3,5}:{(250,1),(251,1),(256,1),(299,1)}
       281:{1,4,5,7}:{(253,1),(254,1),(256,1),(257,1),(297,1),(300,1)}
       282:{2,4,6}:{(254,1),(255,1),(258,1),(298,1),(300,1),(313,1)}
       283:{1,5,6}:{(257,1),(258,1),(300,1)}
       284:{3,4,7}:{(259,1),(262,1),(301,1)}
       285:{2,4,5,7}:{(259,1),(260,1),(263,1),(264,1),(301,1),(302,1)}
       286:{1,4,6}:{(260,1),(261,1),(265,1),(302,1)}
       287:{3,5}:{(262,1),(263,1)}
       288:{2,5,6}:{(264,1),(265,1),(302,1),(313,1)}
       289:{2,4,7}:{(266,1),(267,1),(270,1),(303,1)}
       290:{1,4,5,7}:{(267,1),(268,1),(271,1),(273,1),(304,1),(305,1)}
       291:{2,4,6}:{(268,1),(269,1),(274,1),(305,1)}
       292:{3,4,6}:{(270,1),(303,1),(306,1),(314,1)}
       293:{2,4,5}:{(270,1),(271,1),(275,1),(306,1)}
       294:{2,5,7}:{(272,1),(273,1),(275,1),(307,1)}
       295:{1,3,5,6}:{(273,1),(274,1),(283,1),(305,1),(307,1),(309,1),(314,1)}
       296:{2,4,7}:{(276,1),(277,1),(279,1),(308,1)}
       297:{1,3,5,7}:{(277,1),(278,1),(280,1),(281,1),(308,1),(309,1)}
       298:{2,3,6}:{(278,1),(282,1),(309,1),(310,1),(314,1)}
       299:{2,5}:{(279,1),(280,1)}
       300:{1,4,6}:{(281,1),(282,1),(283,1),(309,1)}
       301:{3,5,7}:{(284,1),(285,1),(287,1),(310,1)}
       302:{2,4,6}:{(285,1),(286,1),(288,1),(310,1)}
       303:{3,4,7}:{(289,1),(292,1),(311,1)}
       304:{2,4,5,7}:{(289,1),(290,1),(293,1),(294,1),(311,1),(312,1)}
       305:{1,4,6}:{(290,1),(291,1),(295,1),(312,1)}
       306:{3,5}:{(292,1),(293,1)}
       307:{2,5,6}:{(294,1),(295,1),(312,1),(313,1)}
       308:{2,5,7}:{(296,1),(297,1),(299,1),(313,1)}
       309:{1,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(306,1),(314,1)}
       312:{2,4,6}:{(304,1),(305,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

2132 :   0:{3,4,5,6}:{(1,1),(2,1),(133,1),(161,1)}
         1:{2,4,5,6}:{(0,1),(5,1),(8,1),(9,1),(114,1),(152,1)}
         2:{3,4,5,7}:{(0,1),(7,1),(9,1),(151,1),(169,1)}
         3:{2,3,4,5}:{(11,1),(12,1),(83,1),(90,1)}
         4:{1,2,3,6}:{(10,1),(13,1),(14,1),(85,1)}
         5:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1)}
         6:{4,5,6,7}:{(18,1),(172,1)}
         7:{3,4,6,7}:{(2,1),(18,1),(19,1)}
         8:{1,4,5,6}:{(1,1),(16,1),(20,1),(21,1),(95,1),(138,1)}
         9:{2,4,5,7}:{(1,1),(2,1),(17,1),(19,1),(21,1),(137,1),(164,1)}
        10:{1,2,3,5}:{(4,1),(22,1),(29,1),(61,1)}
        11:{1,3,4,5}:{(3,1),(24,1),(25,1),(37,1),(61,1),(70,1)}
        12:{2,3,4,6}:{(3,1),(5,1),(25,1),(26,1),(106,1),(114,1)}
        13:{1,2,3,7}:{(4,1),(27,1),(108,1)}
        14:{1,2,4,6}:{(4,1),(22,1),(27,1),(28,1),(29,1),(69,1)}
        15:{2,3,4,6}:{(23,1),(28,1),(30,1),(32,1),(64,1),(74,1),(76,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(25,1),(33,1),(34,1),(38,1)}
        17:{2,3,5,7}:{(5,1),(9,1),(26,1),(31,1),(34,1)}
        18:{3,5,6,7}:{(6,1),(7,1),(35,1),(169,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(31,1),(35,1),(36,1)}
        20:{2,4,5,6}:{(8,1),(33,1),(38,1),(39,1),(76,1),(120,1),(123,1)}
        21:{1,4,5,7}:{(8,1),(9,1),(34,1),(36,1),(39,1),(119,1),(155,1)}
        22:{1,2,4}:{(10,1),(40,1)}
        23:{2,3,4}:{(40,1),(42,1)}
        24:{2,4,5}:{(11,1),(42,1),(43,1)}
        25:{1,3,4,6}:{(11,1),(12,1),(16,1),(43,1),(44,1),(58,1),(85,1),(95,1)}
        26:{2,3,4,7}:{(12,1),(17,1),(44,1),(128,1),(137,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(46,1),(47,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(40,1),(45,1),(46,1),(48,1),(85,1),(93,1),(95,1)}
        29:{1,2,5}:{(14,1),(48,1)}
        30:{2,3,4,7}:{(15,1),(46,1),(50,1),(88,1),(100,1)}
        31:{2,3,6,7}:{(17,1),(19,1),(51,1)}
        32:{2,3,5}:{(15,1),(48,1),(52,1)}
        33:{2,5,6}:{(16,1),(43,1),(54,1)}
        34:{1,3,5,7}:{(16,1),(17,1),(21,1),(44,1),(51,1),(54,1),(59,1)}
        35:{2,5,6,7}:{(18,1),(19,1),(55,1),(164,1)}
        36:{1,4,6,7}:{(19,1),(21,1),(51,1),(55,1),(57,1)}
        37:{3,4,5}:{(52,1),(58,1)}
        38:{3,5,6}:{(20,1),(58,1),(59,1)}
        39:{2,4,5,7}:{(20,1),(21,1),(54,1),(57,1),(59,1),(100,1),(141,1),(143,1)}
        40:{1,3,4}:{(22,1),(23,1),(60,1),(61,1)}
        41:{1,2,4,5}:{(22,1),(24,1),(29,1),(61,1),(62,1),(70,1),(105,1)}
        42:{2,3,5}:{(23,1),(24,1),(61,1),(64,1)}
        43:{2,4,6}:{(24,1),(25,1),(33,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(26,1),(34,1),(65,1),(82,1),(108,1),(119,1)}
        45:{2,3,4,6}:{(28,1),(60,1),(66,1),(67,1),(106,1),(113,1),(114,1)}
        46:{1,3,4,7}:{(27,1),(28,1),(30,1),(66,1),(68,1),(108,1),(119,1)}
        47:{1,2,5,7}:{(27,1),(29,1),(68,1),(69,1)}
        48:{1,3,5}:{(28,1),(29,1),(32,1),(67,1),(70,1)}
        49:{1,2,5,6}:{(29,1),(33,1),(62,1),(69,1),(71,1),(72,1),(145,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(68,1),(73,1),(74,1)}
        51:{1,3,6,7}:{(31,1),(34,1),(36,1),(75,1),(80,1)}
        52:{2,4,5}:{(32,1),(37,1),(70,1),(76,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(38,1),(64,1),(71,1),(74,1),(76,1),(77,1),(120,1)}
        54:{2,5,7}:{(33,1),(34,1),(65,1),(75,1)}
        55:{1,5,6,7}:{(35,1),(36,1),(78,1),(155,1)}
        56:{3,4,5,7}:{(37,1),(73,1),(79,1),(82,1),(125,1)}
        57:{2,4,6,7}:{(36,1),(39,1),(75,1),(78,1),(80,1),(124,1)}
        58:{3,4,6}:{(37,1),(38,1),(76,1),(82,1)}
        59:{3,5,7}:{(38,1),(39,1),(80,1),(82,1)}
        60:{2,3,4}:{(40,1),(83,1)}
        61:{1,3,5}:{(40,1),(41,1),(42,1),(83,1),(85,1)}
        62:{1,2,4,6}:{(41,1),(43,1),(49,1),(85,1),(86,1),(95,1),(127,1)}
        63:{2,3,4,5}:{(42,1),(52,1),(84,1),(87,1)}
        64:{2,3,6}:{(42,1),(43,1),(85,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(54,1),(88,1)}
        66:{2,3,4,7}:{(45,1),(46,1),(89,1),(128,1),(137,1)}
        67:{2,3,5}:{(45,1),(48,1),(90,1)}
        68:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(89,1),(92,1),(93,1)}
        69:{1,2,6}:{(47,1),(93,1)}
        70:{1,4,5}:{(48,1),(52,1),(90,1),(95,1)}
        71:{1,3,5,6}:{(48,1),(49,1),(53,1),(85,1),(91,1),(93,1),(95,1),(96,1),(138,1)}
        72:{1,2,5,7}:{(49,1),(54,1),(86,1),(94,1),(96,1),(159,1)}
        73:{2,4,5,7}:{(50,1),(52,1),(56,1),(92,1),(97,1),(100,1),(141,1)}
        74:{2,3,6}:{(50,1),(93,1),(97,1)}
        75:{2,6,7}:{(51,1),(54,1)}
        76:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(100,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(59,1),(88,1),(96,1),(98,1),(100,1),(141,1)}
        78:{2,5,6,7}:{(55,1),(57,1),(101,1),(141,1)}
        79:{3,4,6}:{(56,1),(97,1),(102,1)}
        80:{3,6,7}:{(57,1),(59,1)}
        81:{3,4,5,6}:{(58,1),(99,1),(102,1),(104,1)}
        82:{3,4,7}:{(58,1),(59,1),(100,1)}
        83:{2,3,5}:{(60,1),(61,1),(105,1),(106,1)}
        84:{1,3,4,5}:{(61,1),(63,1),(70,1),(105,1),(107,1),(111,1)}
        85:{1,3,6}:{(61,1),(62,1),(64,1),(106,1),(108,1)}
        86:{1,2,4,7}:{(62,1),(65,1),(72,1),(108,1),(119,1),(146,1)}
        87:{2,3,4,6}:{(63,1),(64,1),(76,1),(107,1),(109,1),(110,1)}
        88:{2,3,7}:{(64,1),(65,1),(108,1)}
        89:{2,3,5,7}:{(66,1),(67,1),(68,1),(112,1),(113,1)}
        90:{2,4,5}:{(67,1),(70,1),(111,1),(114,1)}
        91:{2,3,5,6}:{(67,1),(71,1),(106,1),(113,1),(114,1),(115,1),(145,1),(150,1),(152,1)}
        92:{1,4,5,7}:{(68,1),(70,1),(73,1),(112,1),(116,1),(119,1),(155,1)}
        93:{1,3,6}:{(68,1),(69,1),(74,1),(113,1),(116,1)}
        94:{1,2,6,7}:{(69,1),(72,1),(75,1),(117,1),(167,1)}
        95:{1,4,6}:{(70,1),(71,1),(76,1),(114,1),(119,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(77,1),(108,1),(115,1),(117,1),(119,1),(155,1)}
        97:{2,4,6}:{(73,1),(74,1),(79,1),(116,1),(120,1)}
        98:{2,3,6,7}:{(74,1),(75,1),(77,1),(80,1),(117,1),(121,1)}
        99:{2,4,5,6}:{(76,1),(81,1),(109,1),(118,1),(120,1),(122,1)}
       100:{2,4,7}:{(76,1),(77,1),(82,1),(119,1)}
       101:{3,5,6,7}:{(78,1),(80,1),(124,1),(125,1)}
       102:{3,5,6}:{(79,1),(120,1),(123,1),(125,1)}
       103:{3,4,6,7}:{(79,1),(80,1),(82,1),(121,1),(124,1),(125,1)}
       104:{3,4,5,7}:{(81,1),(82,1),(122,1),(125,1),(126,1)}
       105:{2,4,5}:{(83,1),(84,1),(127,1)}
       106:{2,3,6}:{(83,1),(85,1),(127,1),(128,1)}
       107:{1,3,4,6}:{(84,1),(85,1),(87,1),(95,1),(127,1),(129,1),(130,1),(133,1)}
       108:{1,3,7}:{(85,1),(86,1),(88,1),(128,1)}
       109:{2,3,5,6}:{(87,1),(99,1),(129,1),(131,1)}
       110:{2,3,4,7}:{(87,1),(88,1),(100,1),(130,1),(131,1)}
       111:{3,4,5}:{(90,1),(133,1)}
       112:{2,4,5,7}:{(89,1),(90,1),(92,1),(132,1),(134,1),(137,1),(164,1)}
       113:{2,3,6}:{(89,1),(93,1),(134,1)}
       114:{2,4,6}:{(90,1),(91,1),(95,1),(133,1),(137,1)}
       115:{2,3,5,7}:{(91,1),(96,1),(128,1),(135,1),(137,1),(159,1),(163,1),(164,1)}
       116:{1,4,6}:{(92,1),(93,1),(97,1),(134,1),(138,1)}
       117:{1,3,6,7}:{(93,1),(94,1),(96,1),(98,1),(135,1),(139,1)}
       118:{1,4,5,6}:{(95,1),(99,1),(129,1),(136,1),(138,1),(140,1)}
       119:{1,4,7}:{(95,1),(96,1),(100,1),(137,1)}
       120:{2,5,6}:{(97,1),(102,1),(138,1),(141,1)}
       121:{2,4,6,7}:{(97,1),(98,1),(100,1),(103,1),(139,1),(141,1)}
       122:{2,4,5,7}:{(99,1),(100,1),(104,1),(131,1),(140,1),(141,1),(142,1)}
       123:{4,5,6}:{(102,1),(143,1)}
       124:{4,6,7}:{(101,1),(143,1)}
       125:{3,5,7}:{(102,1),(103,1),(141,1),(143,1)}
       126:{3,4,6,7}:{(104,1),(142,1),(144,1)}
       127:{2,4,6}:{(105,1),(106,1),(107,1),(145,1),(146,1)}
       128:{2,3,7}:{(106,1),(108,1),(146,1)}
       129:{1,3,5,6}:{(107,1),(109,1),(118,1),(145,1),(147,1),(150,1)}
       130:{1,3,4,7}:{(107,1),(108,1),(110,1),(119,1),(146,1),(147,1),(151,1)}
       131:{2,3,5,7}:{(109,1),(110,1),(122,1),(147,1),(148,1)}
       132:{3,4,5,7}:{(111,1),(112,1),(149,1),(151,1),(169,1)}
       133:{3,4,6}:{(111,1),(114,1),(150,1),(151,1)}
       134:{2,4,6}:{(112,1),(113,1),(116,1),(149,1),(152,1)}
       135:{2,3,6,7}:{(113,1),(115,1),(117,1),(153,1),(167,1),(170,1)}
       136:{2,4,5,6}:{(114,1),(118,1),(145,1),(150,1),(152,1),(154,1),(168,1)}
       137:{2,4,7}:{(114,1),(115,1),(119,1),(151,1)}
       138:{1,5,6}:{(116,1),(120,1),(152,1),(155,1)}
       139:{1,4,6,7}:{(116,1),(117,1),(119,1),(121,1),(153,1),(155,1)}
       140:{1,4,5,7}:{(118,1),(119,1),(122,1),(147,1),(154,1),(155,1),(156,1)}
       141:{2,5,7}:{(120,1),(121,1),(125,1),(155,1)}
       142:{2,4,6,7}:{(122,1),(126,1),(148,1),(156,1),(157,1)}
       143:{4,5,7}:{(123,1),(124,1),(125,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(157,1),(158,1)}
       145:{2,5,6}:{(127,1),(129,1),(159,1)}
       146:{2,4,7}:{(127,1),(128,1),(130,1),(159,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(131,1),(140,1),(159,1),(160,1),(163,1)}
       148:{2,3,6,7}:{(131,1),(142,1),(160,1)}
       149:{3,4,6}:{(132,1),(134,1),(161,1)}
       150:{3,5,6}:{(133,1),(136,1),(163,1)}
       151:{3,4,7}:{(133,1),(137,1),(163,1)}
       152:{2,5,6}:{(134,1),(138,1),(161,1),(164,1)}
       153:{2,4,6,7}:{(134,1),(135,1),(137,1),(139,1),(162,1),(164,1)}
       154:{2,4,5,7}:{(136,1),(137,1),(140,1),(159,1),(163,1),(164,1),(165,1),(172,1)}
       155:{1,5,7}:{(138,1),(139,1),(141,1),(164,1)}
       156:{1,4,6,7}:{(140,1),(142,1),(160,1),(165,1),(166,1)}
       157:{2,5,6,7}:{(141,1),(142,1),(144,1),(166,1)}
       158:{4,5,6,7}:{(143,1),(144,1)}
       159:{2,5,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{1,3,6,7}:{(147,1),(148,1),(156,1),(167,1),(170,1)}
       161:{3,5,6}:{(149,1),(152,1),(168,1),(169,1)}
       162:{3,4,6,7}:{(149,1),(151,1),(153,1),(169,1),(170,1),(174,1)}
       163:{3,5,7}:{(150,1),(151,1),(154,1),(170,1)}
       164:{2,5,7}:{(152,1),(153,1),(155,1),(169,1)}
       165:{2,4,6,7}:{(154,1),(156,1),(167,1),(170,1),(171,1),(174,1)}
       166:{1,5,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       167:{2,6,7}:{(159,1),(160,1)}
       168:{4,5,6}:{(161,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(164,1),(172,1)}
       170:{3,6,7}:{(163,1),(165,1)}
       171:{2,5,6,7}:{(164,1),(165,1),(166,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2133 :   0:{4,5,6,7}:{(2,1),(123,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(96,1),(124,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(120,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(108,1),(120,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(9,1),(10,1),(82,1),(121,1)}
         5:{2,3,4,5}:{(11,1),(12,1),(55,1),(98,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(13,1)}
         7:{2,5,6,7}:{(2,1),(13,1),(14,1),(115,1)}
         8:{2,3,5,6}:{(4,1),(11,1),(15,1),(16,1)}
         9:{2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(17,1),(97,1),(115,1)}
        10:{1,4,5,6}:{(4,1),(16,1),(17,1),(18,1),(67,1),(116,1)}
        11:{2,3,4,6}:{(5,1),(8,1),(19,1),(20,1),(71,1),(82,1)}
        12:{1,3,4,5}:{(5,1),(20,1),(21,1),(42,1),(54,1),(84,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(9,1),(22,1),(23,1)}
        14:{1,5,6,7}:{(7,1),(23,1),(24,1),(106,1)}
        15:{2,3,5,7}:{(8,1),(9,1),(19,1),(22,1),(25,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(20,1),(25,1),(26,1),(28,1)}
        17:{1,4,5,7}:{(9,1),(10,1),(23,1),(25,1),(27,1),(83,1),(106,1)}
        18:{2,4,5,6}:{(10,1),(26,1),(27,1),(28,1),(52,1),(80,1),(107,1)}
        19:{2,3,4,7}:{(11,1),(15,1),(30,1),(87,1),(97,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(16,1),(30,1),(31,1),(40,1),(57,1),(67,1)}
        21:{2,4,5}:{(12,1),(31,1),(32,1)}
        22:{2,3,6,7}:{(13,1),(15,1),(33,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1)}
        24:{2,5,6,7}:{(14,1),(34,1),(35,1),(94,1)}
        25:{1,3,5,7}:{(15,1),(16,1),(17,1),(30,1),(33,1),(37,1),(39,1)}
        26:{2,5,6}:{(16,1),(31,1),(37,1)}
        27:{2,4,5,7}:{(17,1),(18,1),(34,1),(37,1),(39,1),(64,1),(68,1),(94,1)}
        28:{3,5,6}:{(18,1),(39,1),(40,1)}
        29:{1,2,4,5}:{(21,1),(41,1),(42,1),(72,1),(84,1),(102,1)}
        30:{1,3,4,7}:{(19,1),(20,1),(25,1),(43,1),(53,1),(73,1),(83,1)}
        31:{2,4,6}:{(20,1),(21,1),(26,1),(43,1),(44,1)}
        32:{2,3,5}:{(21,1),(42,1),(44,1),(45,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(25,1),(46,1),(47,1)}
        34:{2,4,6,7}:{(23,1),(24,1),(27,1),(46,1),(47,1),(48,1)}
        35:{3,5,6,7}:{(24,1),(47,1),(48,1),(79,1)}
        36:{1,2,5,6}:{(26,1),(41,1),(49,1),(50,1),(102,1),(119,1)}
        37:{2,5,7}:{(25,1),(26,1),(43,1),(46,1)}
        38:{2,3,5,6}:{(26,1),(28,1),(44,1),(50,1),(51,1),(52,1),(76,1),(104,1),(107,1)}
        39:{3,5,7}:{(27,1),(28,1),(47,1),(53,1)}
        40:{3,4,6}:{(28,1),(52,1),(53,1),(54,1)}
        41:{1,2,4,6}:{(29,1),(31,1),(36,1),(56,1),(57,1),(67,1),(88,1)}
        42:{1,3,5}:{(29,1),(32,1),(55,1),(57,1),(58,1)}
        43:{2,4,7}:{(30,1),(31,1),(37,1),(59,1)}
        44:{2,3,6}:{(31,1),(32,1),(57,1),(59,1)}
        45:{2,3,4}:{(32,1),(58,1)}
        46:{2,6,7}:{(33,1),(37,1)}
        47:{3,6,7}:{(34,1),(39,1)}
        48:{4,6,7}:{(35,1),(64,1)}
        49:{1,2,5,7}:{(36,1),(37,1),(56,1),(61,1),(66,1),(112,1)}
        50:{1,3,5,6}:{(36,1),(38,1),(57,1),(65,1),(66,1),(67,1),(90,1),(113,1),(116,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(39,1),(59,1),(62,1),(66,1),(68,1),(94,1)}
        52:{2,4,6}:{(38,1),(40,1),(67,1),(68,1),(69,1)}
        53:{3,4,7}:{(39,1),(40,1),(68,1)}
        54:{3,4,5}:{(40,1),(69,1)}
        55:{2,3,5}:{(42,1),(71,1),(72,1),(102,1)}
        56:{1,2,4,7}:{(41,1),(43,1),(49,1),(73,1),(83,1),(101,1)}
        57:{1,3,6}:{(41,1),(42,1),(44,1),(71,1),(73,1)}
        58:{1,3,4}:{(42,1),(45,1),(72,1)}
        59:{2,3,7}:{(43,1),(44,1),(73,1)}
        60:{2,3,4,6}:{(44,1),(45,1),(52,1),(74,1),(75,1),(76,1),(104,1)}
        61:{1,2,6,7}:{(46,1),(49,1),(77,1),(119,1)}
        62:{2,3,6,7}:{(46,1),(47,1),(51,1),(77,1),(78,1),(104,1)}
        63:{3,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(86,1)}
        64:{4,5,7}:{(48,1),(79,1),(80,1)}
        65:{2,3,5,6}:{(50,1),(71,1),(81,1),(82,1),(102,1),(109,1),(119,1),(121,1),(122,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(51,1),(73,1),(77,1),(81,1),(83,1),(106,1)}
        67:{1,4,6}:{(50,1),(52,1),(82,1),(83,1),(84,1)}
        68:{2,4,7}:{(51,1),(52,1),(53,1),(83,1)}
        69:{2,4,5}:{(52,1),(54,1),(76,1),(84,1)}
        70:{3,4,5,7}:{(53,1),(54,1),(79,1),(85,1),(86,1)}
        71:{2,3,6}:{(55,1),(57,1),(87,1),(88,1)}
        72:{2,4}:{(55,1),(58,1)}
        73:{1,3,7}:{(56,1),(57,1),(59,1),(87,1)}
        74:{1,3,4,6}:{(57,1),(58,1),(60,1),(67,1),(88,1),(89,1),(90,1),(96,1),(113,1)}
        75:{2,3,4,7}:{(59,1),(60,1),(68,1),(89,1),(91,1)}
        76:{2,3,5}:{(60,1),(69,1),(90,1)}
        77:{1,3,6,7}:{(61,1),(62,1),(66,1),(92,1),(93,1),(113,1)}
        78:{2,4,6,7}:{(62,1),(63,1),(68,1),(93,1),(94,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(94,1),(95,1)}
        80:{4,5,6}:{(64,1),(95,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(87,1),(92,1),(97,1),(112,1),(115,1),(117,1)}
        82:{2,4,6}:{(65,1),(67,1),(96,1),(97,1),(98,1)}
        83:{1,4,7}:{(66,1),(67,1),(68,1),(97,1)}
        84:{1,4,5}:{(67,1),(69,1),(90,1),(98,1)}
        85:{2,4,5,7}:{(68,1),(69,1),(70,1),(91,1),(94,1),(99,1),(100,1)}
        86:{3,4,6}:{(70,1),(95,1),(100,1)}
        87:{2,3,7}:{(71,1),(73,1),(101,1)}
        88:{2,4,6}:{(71,1),(72,1),(74,1),(101,1),(102,1),(119,1)}
        89:{1,3,4,7}:{(73,1),(74,1),(75,1),(83,1),(101,1),(103,1),(108,1)}
        90:{1,3,5}:{(74,1),(76,1),(84,1),(102,1),(109,1)}
        91:{2,3,5,7}:{(75,1),(76,1),(85,1),(103,1),(104,1)}
        92:{2,3,6,7}:{(77,1),(81,1),(105,1),(119,1),(122,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(83,1),(105,1),(106,1),(111,1)}
        94:{2,5,7}:{(78,1),(79,1),(106,1),(107,1)}
        95:{3,5,6}:{(79,1),(80,1),(86,1),(107,1)}
        96:{3,4,6}:{(82,1),(108,1),(109,1),(122,1)}
        97:{2,4,7}:{(81,1),(82,1),(83,1),(108,1)}
        98:{2,4,5}:{(82,1),(84,1),(102,1),(109,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(85,1),(103,1),(106,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(86,1),(104,1),(107,1),(111,1)}
       101:{2,4,7}:{(87,1),(88,1),(89,1),(112,1)}
       102:{2,5}:{(88,1),(90,1)}
       103:{1,3,5,7}:{(89,1),(90,1),(91,1),(99,1),(112,1),(113,1),(117,1)}
       104:{2,3,6}:{(91,1),(100,1),(113,1)}
       105:{2,4,6,7}:{(92,1),(93,1),(97,1),(114,1),(115,1),(118,1)}
       106:{1,5,7}:{(93,1),(94,1),(115,1),(116,1)}
       107:{2,5,6}:{(94,1),(95,1),(100,1),(116,1)}
       108:{3,4,7}:{(96,1),(97,1),(117,1)}
       109:{3,5}:{(96,1),(98,1)}
       110:{2,4,5,7}:{(97,1),(98,1),(99,1),(112,1),(115,1),(117,1),(118,1),(123,1)}
       111:{1,4,6}:{(99,1),(100,1),(113,1),(116,1),(118,1)}
       112:{2,5,7}:{(101,1),(102,1),(103,1),(119,1)}
       113:{1,3,6}:{(103,1),(104,1),(111,1),(119,1),(122,1)}
       114:{3,4,6,7}:{(105,1),(108,1),(120,1),(122,1),(125,1)}
       115:{2,5,7}:{(105,1),(106,1),(120,1),(121,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{3,5,7}:{(108,1),(109,1),(110,1),(122,1)}
       118:{2,4,6}:{(110,1),(111,1),(119,1),(121,1),(122,1),(125,1)}
       119:{2,6}:{(112,1),(113,1)}
       120:{3,5,7}:{(114,1),(115,1),(123,1),(124,1)}
       121:{2,5,6}:{(115,1),(116,1),(118,1),(124,1)}
       122:{3,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2134 :   0:{1,2,3,7}:{(1,1),(2,1),(85,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(134,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(7,1),(65,1),(109,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(70,1),(106,1)}
         4:{1,3,4,7}:{(1,1),(3,1),(11,1),(12,1),(13,1),(82,1),(85,1),(123,1)}
         5:{1,2,5,7}:{(1,1),(12,1),(14,1),(15,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(16,1),(88,1),(124,1)}
         7:{1,2,3,5}:{(2,1),(15,1),(16,1),(45,1)}
         8:{2,3,5,7}:{(3,1),(12,1),(17,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(13,1),(18,1),(19,1),(46,1),(50,1),(86,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(51,1),(52,1),(92,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(98,1),(106,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(8,1),(21,1),(23,1),(24,1),(25,1)}
        13:{1,3,4,6}:{(4,1),(6,1),(9,1),(22,1),(24,1),(25,1),(29,1),(62,1),(65,1),(67,1),(107,1)}
        14:{1,2,6}:{(5,1),(24,1)}
        15:{1,2,5}:{(6,1),(25,1)}
        16:{1,2,4}:{(7,1),(29,1)}
        17:{2,4,5,7}:{(8,1),(10,1),(23,1),(30,1),(33,1),(68,1),(70,1)}
        18:{2,3,6}:{(8,1),(24,1),(30,1)}
        19:{2,3,5}:{(9,1),(25,1),(33,1)}
        20:{3,4,6}:{(10,1),(30,1),(35,1)}
        21:{2,3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(11,1),(13,1),(37,1),(38,1),(46,1),(78,1),(86,1)}
        23:{1,4,5,7}:{(12,1),(17,1),(36,1),(39,1),(42,1),(80,1),(82,1)}
        24:{1,3,6}:{(12,1),(14,1),(18,1),(37,1),(39,1)}
        25:{1,3,5}:{(13,1),(15,1),(19,1),(38,1),(42,1)}
        26:{1,2,6,7}:{(14,1),(40,1),(43,1),(137,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(41,1),(43,1),(44,1),(120,1),(124,1)}
        28:{1,2,4,5}:{(15,1),(16,1),(42,1),(44,1),(45,1),(84,1)}
        29:{1,3,4}:{(16,1),(45,1),(46,1)}
        30:{2,4,6}:{(17,1),(18,1),(20,1),(39,1),(48,1)}
        31:{2,3,6,7}:{(18,1),(40,1),(47,1),(49,1),(125,1),(137,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(48,1),(49,1),(50,1),(86,1),(91,1),(120,1)}
        33:{2,4,5}:{(19,1),(42,1),(50,1),(51,1)}
        34:{3,4,6,7}:{(20,1),(47,1),(52,1),(92,1),(93,1),(125,1)}
        35:{3,5,6}:{(20,1),(48,1),(52,1),(53,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(55,1),(58,1),(96,1),(98,1)}
        37:{2,3,6}:{(21,1),(24,1),(55,1)}
        38:{2,3,5}:{(22,1),(25,1),(58,1)}
        39:{1,4,6}:{(23,1),(24,1),(30,1),(55,1),(60,1)}
        40:{1,3,6,7}:{(24,1),(26,1),(31,1),(56,1),(59,1),(61,1),(139,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(27,1),(32,1),(57,1),(60,1),(61,1),(62,1),(65,1),(107,1),(132,1)}
        42:{1,4,5}:{(25,1),(33,1),(58,1),(62,1)}
        43:{1,2,5,7}:{(26,1),(27,1),(61,1),(64,1),(131,1),(134,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(62,1),(64,1),(65,1),(104,1)}
        45:{1,3,5}:{(28,1),(29,1),(65,1),(66,1)}
        46:{2,3,4}:{(29,1),(66,1),(67,1)}
        47:{2,4,6,7}:{(30,1),(31,1),(34,1),(59,1),(68,1),(70,1)}
        48:{2,5,6}:{(30,1),(35,1),(60,1),(68,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(61,1),(68,1),(70,1),(106,1),(111,1),(131,1)}
        50:{2,4,6}:{(32,1),(33,1),(62,1),(70,1),(71,1)}
        51:{3,4,5}:{(33,1),(71,1)}
        52:{3,5,7}:{(34,1),(35,1),(68,1),(73,1)}
        53:{4,5,6}:{(35,1),(73,1)}
        54:{3,4,5,7}:{(36,1),(74,1),(79,1),(112,1),(117,1)}
        55:{2,4,6}:{(36,1),(37,1),(39,1),(74,1),(76,1)}
        56:{2,3,6,7}:{(37,1),(40,1),(75,1),(77,1),(136,1),(137,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(77,1),(78,1),(86,1),(116,1),(120,1)}
        58:{2,4,5}:{(38,1),(42,1),(78,1),(79,1)}
        59:{1,4,6,7}:{(39,1),(40,1),(47,1),(75,1),(80,1),(82,1)}
        60:{1,5,6}:{(39,1),(48,1),(76,1),(80,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(77,1),(80,1),(82,1),(85,1),(123,1),(138,1)}
        62:{1,4,6}:{(41,1),(42,1),(50,1),(78,1),(82,1)}
        63:{1,3,4,5}:{(42,1),(45,1),(51,1),(79,1),(83,1),(84,1)}
        64:{1,2,4,7}:{(43,1),(44,1),(82,1),(85,1),(121,1)}
        65:{1,3,6}:{(44,1),(45,1),(85,1),(86,1)}
        66:{2,3,5}:{(45,1),(46,1),(84,1),(86,1),(87,1)}
        67:{1,3,4}:{(46,1),(87,1),(88,1)}
        68:{2,5,7}:{(47,1),(48,1),(52,1),(80,1)}
        69:{2,4,5,6}:{(48,1),(50,1),(53,1),(81,1),(90,1),(91,1),(120,1)}
        70:{2,4,7}:{(49,1),(50,1),(82,1),(92,1)}
        71:{3,4,6}:{(50,1),(51,1),(91,1),(92,1)}
        72:{3,5,6,7}:{(52,1),(89,1),(93,1),(125,1)}
        73:{4,5,7}:{(52,1),(53,1),(93,1)}
        74:{3,4,6}:{(54,1),(55,1),(95,1)}
        75:{2,4,6,7}:{(55,1),(56,1),(59,1),(94,1),(96,1),(98,1)}
        76:{2,5,6}:{(55,1),(60,1),(95,1),(96,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(96,1),(98,1),(106,1),(129,1),(131,1)}
        78:{2,4,6}:{(57,1),(58,1),(62,1),(98,1),(99,1)}
        79:{3,4,5}:{(58,1),(99,1)}
        80:{1,5,7}:{(59,1),(60,1),(68,1),(96,1)}
        81:{1,4,5,6}:{(60,1),(62,1),(69,1),(97,1),(101,1),(102,1),(132,1)}
        82:{1,4,7}:{(61,1),(62,1),(70,1),(98,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(65,1),(71,1),(99,1),(102,1),(103,1),(104,1)}
        84:{2,4,5}:{(63,1),(66,1),(104,1),(105,1)}
        85:{1,3,7}:{(64,1),(65,1),(106,1)}
        86:{2,3,6}:{(65,1),(66,1),(104,1),(106,1),(107,1)}
        87:{1,3,5}:{(66,1),(67,1),(105,1),(107,1),(108,1)}
        88:{1,2,4}:{(67,1),(108,1),(109,1)}
        89:{2,5,6,7}:{(68,1),(72,1),(100,1),(110,1)}
        90:{2,4,5,7}:{(68,1),(69,1),(70,1),(73,1),(101,1),(110,1),(111,1),(131,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{3,4,7}:{(70,1),(71,1),(111,1)}
        93:{4,6,7}:{(72,1),(73,1)}
        94:{3,4,6,7}:{(74,1),(75,1),(112,1),(117,1),(135,1),(136,1)}
        95:{3,5,6}:{(74,1),(76,1),(112,1),(113,1)}
        96:{2,5,7}:{(75,1),(76,1),(80,1),(112,1)}
        97:{2,4,5,6}:{(76,1),(78,1),(81,1),(113,1),(115,1),(116,1),(120,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(117,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{1,5,6,7}:{(80,1),(89,1),(114,1),(118,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(82,1),(90,1),(115,1),(118,1),(119,1),(138,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(91,1),(116,1),(119,1),(120,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(85,1),(92,1),(117,1),(119,1),(121,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(120,1),(121,1),(122,1)}
       105:{1,4,5}:{(84,1),(87,1),(122,1)}
       106:{2,3,7}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,3,6}:{(86,1),(87,1),(122,1),(123,1),(124,1)}
       108:{1,2,5}:{(87,1),(88,1),(124,1)}
       109:{1,2,3}:{(88,1)}
       110:{2,4,6,7}:{(89,1),(90,1),(93,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(90,1),(91,1),(92,1),(125,1)}
       112:{3,5,7}:{(94,1),(95,1),(96,1),(127,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{2,5,6,7}:{(96,1),(100,1),(126,1),(128,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(127,1),(128,1),(129,1),(131,1)}
       116:{3,5,6}:{(97,1),(99,1),(129,1)}
       117:{3,4,7}:{(98,1),(99,1),(129,1)}
       118:{1,4,6,7}:{(100,1),(101,1),(110,1),(128,1),(130,1),(139,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(103,1),(111,1),(129,1),(130,1),(131,1)}
       120:{2,5,6}:{(102,1),(104,1),(131,1),(132,1)}
       121:{2,4,7}:{(103,1),(104,1),(106,1),(131,1),(133,1)}
       122:{1,4,6}:{(104,1),(105,1),(107,1),(132,1),(133,1)}
       123:{1,3,7}:{(106,1),(107,1),(133,1),(134,1)}
       124:{1,2,6}:{(107,1),(108,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(112,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(115,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(119,1),(125,1),(136,1),(137,1)}
       131:{2,5,7}:{(119,1),(120,1),(121,1),(137,1),(138,1)}
       132:{1,5,6}:{(120,1),(122,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(123,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(131,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2135 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(14,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(14,1),(15,1),(16,1)}
        9:{1,2,6}:{(4,1),(16,1),(17,1)}
       10:{2,4,5}:{(5,1),(6,1),(15,1),(18,1)}
       11:{2,3,6}:{(5,1),(16,1),(18,1),(19,1)}
       12:{3,4,6}:{(6,1),(18,1),(20,1),(21,1)}
       13:{4,5,6}:{(20,1),(22,1)}
       14:{2,3,5}:{(7,1),(8,1),(23,1),(24,1)}
       15:{1,4,5}:{(8,1),(10,1),(23,1),(25,1)}
       16:{1,3,6}:{(8,1),(9,1),(11,1),(24,1),(25,1),(26,1)}
       17:{1,2,7}:{(9,1),(26,1)}
       18:{2,4,6}:{(10,1),(11,1),(12,1),(25,1),(27,1),(28,1)}
       19:{2,3,7}:{(11,1),(26,1),(28,1)}
       20:{3,5,6}:{(12,1),(13,1),(27,1),(29,1)}
       21:{3,4,7}:{(12,1),(28,1),(29,1)}
       22:{4,5,7}:{(13,1),(29,1),(30,1)}
       23:{2,4,5}:{(14,1),(15,1),(31,1),(32,1)}
       24:{2,3,6}:{(14,1),(16,1),(32,1),(33,1)}
       25:{1,4,6}:{(15,1),(16,1),(18,1),(32,1),(34,1),(35,1)}
       26:{1,3,7}:{(16,1),(17,1),(19,1),(33,1),(35,1)}
       27:{2,5,6}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,7}:{(18,1),(19,1),(21,1),(35,1),(36,1)}
       29:{3,5,7}:{(20,1),(21,1),(22,1),(36,1),(37,1)}
       30:{4,6,7}:{(22,1),(37,1),(38,1)}
       31:{3,4,5}:{(23,1),(39,1)}
       32:{2,4,6}:{(23,1),(24,1),(25,1),(39,1),(40,1),(41,1)}
       33:{2,3,7}:{(24,1),(26,1),(41,1)}
       34:{1,5,6}:{(25,1),(27,1),(40,1),(42,1)}
       35:{1,4,7}:{(25,1),(26,1),(28,1),(41,1),(42,1)}
       36:{2,5,7}:{(27,1),(28,1),(29,1),(42,1),(43,1)}
       37:{3,6,7}:{(29,1),(30,1),(43,1)}
       38:{5,6,7}:{(30,1)}
       39:{3,4,6}:{(31,1),(32,1),(44,1),(45,1)}
       40:{2,5,6}:{(32,1),(34,1),(44,1),(46,1)}
       41:{2,4,7}:{(32,1),(33,1),(35,1),(45,1),(46,1)}
       42:{1,5,7}:{(34,1),(35,1),(36,1),(46,1),(47,1)}
       43:{2,6,7}:{(36,1),(37,1),(47,1)}
       44:{3,5,6}:{(39,1),(40,1),(48,1),(49,1)}
       45:{3,4,7}:{(39,1),(41,1),(49,1)}
       46:{2,5,7}:{(40,1),(41,1),(42,1),(49,1),(50,1)}
       47:{1,6,7}:{(42,1),(43,1),(50,1)}
       48:{4,5,6}:{(44,1),(51,1)}
       49:{3,5,7}:{(44,1),(45,1),(46,1),(51,1),(52,1)}
       50:{2,6,7}:{(46,1),(47,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

2136 :   0:{4,5,6,7}:{(1,1),(170,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(164,1)}
         2:{3,4,5,6}:{(5,1),(6,1),(146,1),(151,1)}
         3:{3,4,6,7}:{(1,1),(6,1),(8,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(9,1),(153,1)}
         5:{2,4,5,6}:{(2,1),(12,1),(13,1),(14,1),(130,1),(137,1)}
         6:{3,4,5,7}:{(2,1),(3,1),(14,1),(160,1),(164,1)}
         7:{1,2,3,7}:{(11,1),(15,1),(126,1)}
         8:{2,4,6,7}:{(3,1),(4,1),(14,1),(17,1),(18,1)}
         9:{1,5,6,7}:{(4,1),(18,1),(19,1),(139,1)}
        10:{2,3,4,5}:{(21,1),(22,1),(103,1),(109,1)}
        11:{1,2,3,6}:{(7,1),(20,1),(23,1),(105,1)}
        12:{2,3,5,6}:{(5,1),(22,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(5,1),(25,1),(27,1),(28,1),(111,1),(119,1)}
        14:{2,4,5,7}:{(5,1),(6,1),(8,1),(26,1),(28,1),(148,1),(153,1)}
        15:{1,2,4,7}:{(7,1),(23,1),(29,1),(30,1)}
        16:{2,3,4,7}:{(24,1),(29,1),(31,1),(108,1),(114,1)}
        17:{2,3,6,7}:{(8,1),(26,1),(32,1)}
        18:{1,4,6,7}:{(8,1),(9,1),(28,1),(32,1),(34,1)}
        19:{2,5,6,7}:{(9,1),(34,1),(35,1),(121,1)}
        20:{1,2,3,5}:{(11,1),(36,1),(42,1),(82,1)}
        21:{1,3,4,5}:{(10,1),(38,1),(39,1),(46,1),(82,1),(88,1)}
        22:{2,3,4,6}:{(10,1),(12,1),(39,1),(40,1),(124,1),(130,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(36,1),(41,1),(42,1),(51,1)}
        24:{2,3,4,6}:{(16,1),(37,1),(41,1),(43,1),(53,1),(85,1),(91,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(39,1),(44,1),(45,1),(47,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(17,1),(40,1),(45,1)}
        27:{2,4,5,6}:{(13,1),(44,1),(47,1),(48,1),(57,1),(91,1),(99,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(18,1),(45,1),(48,1),(133,1),(139,1)}
        29:{1,3,4,7}:{(15,1),(16,1),(41,1),(49,1),(50,1),(126,1),(133,1)}
        30:{1,2,5,7}:{(15,1),(42,1),(50,1),(51,1)}
        31:{2,3,5,7}:{(16,1),(43,1),(50,1),(52,1),(53,1)}
        32:{1,3,6,7}:{(17,1),(18,1),(45,1),(54,1),(56,1)}
        33:{3,4,5,7}:{(46,1),(52,1),(55,1),(94,1),(101,1)}
        34:{2,4,6,7}:{(18,1),(19,1),(48,1),(54,1),(56,1),(58,1)}
        35:{3,5,6,7}:{(19,1),(56,1),(58,1),(101,1)}
        36:{1,2,4}:{(20,1),(59,1)}
        37:{2,3,4}:{(59,1),(61,1)}
        38:{2,4,5}:{(21,1),(61,1),(62,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(25,1),(62,1),(63,1),(70,1),(105,1),(111,1)}
        40:{2,3,4,7}:{(22,1),(26,1),(63,1),(142,1),(148,1)}
        41:{1,3,4,6}:{(23,1),(24,1),(29,1),(59,1),(64,1),(65,1),(74,1),(105,1),(111,1)}
        42:{1,2,5}:{(23,1),(65,1)}
        43:{2,3,5}:{(24,1),(65,1),(67,1)}
        44:{2,5,6}:{(25,1),(62,1),(69,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(28,1),(32,1),(63,1),(69,1),(71,1)}
        46:{3,4,5}:{(67,1),(70,1)}
        47:{3,5,6}:{(27,1),(70,1),(71,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(34,1),(69,1),(71,1),(80,1),(114,1),(121,1)}
        49:{2,3,4,7}:{(29,1),(64,1),(72,1),(142,1),(148,1)}
        50:{1,3,5,7}:{(29,1),(30,1),(31,1),(65,1),(72,1),(73,1),(74,1)}
        51:{1,2,6}:{(30,1),(74,1)}
        52:{2,4,5,7}:{(31,1),(33,1),(67,1),(73,1),(76,1),(114,1),(121,1)}
        53:{2,3,6}:{(31,1),(74,1),(76,1)}
        54:{2,6,7}:{(32,1),(69,1)}
        55:{3,4,6}:{(33,1),(76,1),(78,1)}
        56:{3,6,7}:{(34,1),(71,1)}
        57:{4,5,6}:{(78,1),(80,1)}
        58:{4,6,7}:{(35,1),(80,1)}
        59:{1,3,4}:{(36,1),(37,1),(81,1),(82,1)}
        60:{1,2,4,5}:{(36,1),(38,1),(42,1),(82,1),(83,1),(88,1),(123,1)}
        61:{2,3,5}:{(37,1),(38,1),(82,1),(85,1)}
        62:{2,4,6}:{(38,1),(39,1),(44,1),(85,1),(86,1)}
        63:{1,3,4,7}:{(39,1),(40,1),(45,1),(86,1),(94,1),(126,1),(133,1)}
        64:{2,3,4,6}:{(41,1),(49,1),(81,1),(87,1),(96,1),(124,1),(130,1)}
        65:{1,3,5}:{(41,1),(42,1),(43,1),(87,1),(88,1)}
        66:{1,2,5,6}:{(42,1),(44,1),(51,1),(83,1),(89,1),(90,1),(155,1)}
        67:{2,4,5}:{(43,1),(46,1),(88,1),(91,1)}
        68:{2,3,5,6}:{(43,1),(44,1),(47,1),(53,1),(85,1),(89,1),(91,1),(92,1),(99,1)}
        69:{2,5,7}:{(44,1),(45,1),(54,1),(86,1)}
        70:{3,4,6}:{(46,1),(47,1),(91,1),(94,1)}
        71:{3,5,7}:{(47,1),(48,1),(56,1),(94,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(87,1),(95,1),(96,1)}
        73:{1,4,5,7}:{(50,1),(52,1),(88,1),(95,1),(97,1),(133,1),(139,1)}
        74:{1,3,6}:{(50,1),(51,1),(53,1),(96,1),(97,1)}
        75:{1,2,6,7}:{(51,1),(54,1),(90,1),(98,1),(172,1)}
        76:{2,4,6}:{(52,1),(53,1),(55,1),(97,1),(99,1)}
        77:{2,3,6,7}:{(53,1),(54,1),(56,1),(92,1),(98,1),(100,1)}
        78:{3,5,6}:{(55,1),(57,1),(99,1),(101,1)}
        79:{3,4,6,7}:{(55,1),(56,1),(58,1),(94,1),(100,1),(101,1)}
        80:{4,5,7}:{(57,1),(58,1),(101,1)}
        81:{2,3,4}:{(59,1),(103,1)}
        82:{1,3,5}:{(59,1),(60,1),(61,1),(103,1),(105,1)}
        83:{1,2,4,6}:{(60,1),(62,1),(66,1),(105,1),(106,1),(111,1),(141,1)}
        84:{2,3,4,5}:{(61,1),(67,1),(104,1),(107,1)}
        85:{2,3,6}:{(61,1),(62,1),(105,1),(108,1)}
        86:{2,4,7}:{(62,1),(63,1),(69,1),(108,1)}
        87:{2,3,5}:{(64,1),(65,1),(109,1)}
        88:{1,4,5}:{(65,1),(67,1),(109,1),(111,1)}
        89:{1,3,5,6}:{(65,1),(66,1),(68,1),(74,1),(105,1),(110,1),(111,1),(112,1),(119,1)}
        90:{1,2,5,7}:{(66,1),(69,1),(75,1),(106,1),(112,1),(166,1)}
        91:{2,4,6}:{(67,1),(68,1),(70,1),(111,1),(114,1)}
        92:{2,3,5,7}:{(68,1),(69,1),(71,1),(77,1),(108,1),(112,1),(114,1),(121,1)}
        93:{3,4,5,6}:{(70,1),(78,1),(113,1),(115,1)}
        94:{3,4,7}:{(70,1),(71,1),(114,1)}
        95:{2,4,5,7}:{(72,1),(73,1),(109,1),(116,1),(117,1),(148,1),(153,1)}
        96:{2,3,6}:{(72,1),(74,1),(117,1)}
        97:{1,4,6}:{(73,1),(74,1),(76,1),(117,1),(119,1)}
        98:{1,3,6,7}:{(74,1),(75,1),(77,1),(112,1),(118,1),(120,1)}
        99:{2,5,6}:{(76,1),(78,1),(119,1),(121,1)}
       100:{2,4,6,7}:{(76,1),(77,1),(79,1),(114,1),(120,1),(121,1)}
       101:{3,5,7}:{(78,1),(79,1),(80,1),(121,1)}
       102:{4,5,6,7}:{(80,1),(122,1)}
       103:{2,3,5}:{(81,1),(82,1),(123,1),(124,1)}
       104:{1,3,4,5}:{(82,1),(84,1),(88,1),(123,1),(125,1),(129,1)}
       105:{1,3,6}:{(82,1),(83,1),(85,1),(124,1),(126,1)}
       106:{1,2,4,7}:{(83,1),(86,1),(90,1),(126,1),(133,1),(156,1)}
       107:{2,3,4,6}:{(84,1),(85,1),(91,1),(125,1),(127,1),(128,1)}
       108:{2,3,7}:{(85,1),(86,1),(126,1)}
       109:{2,4,5}:{(87,1),(88,1),(129,1),(130,1)}
       110:{2,3,5,6}:{(87,1),(89,1),(96,1),(124,1),(130,1),(131,1),(137,1),(155,1),(159,1)}
       111:{1,4,6}:{(88,1),(89,1),(91,1),(130,1),(133,1)}
       112:{1,3,5,7}:{(89,1),(90,1),(92,1),(98,1),(126,1),(131,1),(133,1),(139,1)}
       113:{2,4,5,6}:{(91,1),(93,1),(99,1),(127,1),(132,1),(134,1)}
       114:{2,4,7}:{(91,1),(92,1),(94,1),(133,1)}
       115:{3,4,5,7}:{(93,1),(94,1),(101,1),(134,1),(135,1)}
       116:{3,4,5,7}:{(95,1),(129,1),(136,1),(160,1),(164,1)}
       117:{2,4,6}:{(95,1),(96,1),(97,1),(136,1),(137,1)}
       118:{2,3,6,7}:{(96,1),(98,1),(131,1),(138,1),(172,1),(173,1)}
       119:{1,5,6}:{(97,1),(99,1),(137,1),(139,1)}
       120:{1,4,6,7}:{(97,1),(98,1),(100,1),(133,1),(138,1),(139,1)}
       121:{2,5,7}:{(99,1),(100,1),(101,1),(139,1)}
       122:{3,5,6,7}:{(101,1),(102,1),(135,1),(140,1)}
       123:{2,4,5}:{(103,1),(104,1),(141,1)}
       124:{2,3,6}:{(103,1),(105,1),(141,1),(142,1)}
       125:{1,3,4,6}:{(104,1),(105,1),(107,1),(111,1),(141,1),(143,1),(144,1),(146,1)}
       126:{1,3,7}:{(105,1),(106,1),(108,1),(142,1)}
       127:{2,3,5,6}:{(107,1),(113,1),(143,1),(145,1)}
       128:{2,3,4,7}:{(107,1),(108,1),(114,1),(144,1),(145,1)}
       129:{3,4,5}:{(109,1),(146,1)}
       130:{2,4,6}:{(109,1),(110,1),(111,1),(146,1),(148,1)}
       131:{2,3,5,7}:{(110,1),(112,1),(118,1),(142,1),(148,1),(153,1),(166,1),(168,1)}
       132:{1,4,5,6}:{(111,1),(113,1),(119,1),(143,1),(147,1),(149,1)}
       133:{1,4,7}:{(111,1),(112,1),(114,1),(148,1)}
       134:{2,4,5,7}:{(113,1),(114,1),(115,1),(121,1),(145,1),(149,1),(150,1)}
       135:{3,4,6,7}:{(115,1),(122,1),(150,1)}
       136:{3,4,6}:{(116,1),(117,1),(151,1)}
       137:{2,5,6}:{(117,1),(119,1),(151,1),(153,1)}
       138:{2,4,6,7}:{(117,1),(118,1),(120,1),(148,1),(152,1),(153,1)}
       139:{1,5,7}:{(119,1),(120,1),(121,1),(153,1)}
       140:{2,5,6,7}:{(121,1),(122,1),(150,1),(154,1)}
       141:{2,4,6}:{(123,1),(124,1),(125,1),(155,1),(156,1)}
       142:{2,3,7}:{(124,1),(126,1),(156,1)}
       143:{1,3,5,6}:{(125,1),(127,1),(132,1),(155,1),(157,1),(159,1)}
       144:{1,3,4,7}:{(125,1),(126,1),(128,1),(133,1),(156,1),(157,1),(160,1)}
       145:{2,3,5,7}:{(127,1),(128,1),(134,1),(157,1),(158,1)}
       146:{3,4,6}:{(129,1),(130,1),(159,1),(160,1)}
       147:{2,4,5,6}:{(130,1),(132,1),(137,1),(155,1),(159,1),(161,1),(163,1)}
       148:{2,4,7}:{(130,1),(131,1),(133,1),(160,1)}
       149:{1,4,5,7}:{(132,1),(133,1),(134,1),(139,1),(157,1),(161,1),(162,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(140,1),(158,1),(162,1)}
       151:{3,5,6}:{(136,1),(137,1),(163,1),(164,1)}
       152:{3,4,6,7}:{(136,1),(138,1),(160,1),(164,1),(173,1),(174,1)}
       153:{2,5,7}:{(137,1),(138,1),(139,1),(164,1)}
       154:{1,5,6,7}:{(139,1),(140,1),(162,1),(165,1)}
       155:{2,5,6}:{(141,1),(143,1),(166,1)}
       156:{2,4,7}:{(141,1),(142,1),(144,1),(166,1)}
       157:{1,3,5,7}:{(143,1),(144,1),(145,1),(149,1),(166,1),(167,1),(168,1)}
       158:{2,3,6,7}:{(145,1),(150,1),(167,1)}
       159:{3,5,6}:{(146,1),(147,1),(168,1)}
       160:{3,4,7}:{(146,1),(148,1),(168,1)}
       161:{2,4,5,7}:{(147,1),(148,1),(149,1),(153,1),(166,1),(168,1),(169,1),(170,1)}
       162:{1,4,6,7}:{(149,1),(150,1),(154,1),(167,1),(169,1)}
       163:{4,5,6}:{(151,1),(170,1)}
       164:{3,5,7}:{(151,1),(152,1),(153,1),(170,1)}
       165:{2,5,6,7}:{(153,1),(154,1),(169,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(158,1),(162,1),(172,1),(173,1)}
       168:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       169:{2,4,6,7}:{(161,1),(162,1),(165,1),(172,1),(173,1),(174,1)}
       170:{4,5,7}:{(163,1),(164,1),(174,1)}
       171:{3,5,6,7}:{(164,1),(165,1),(173,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1)}
       173:{3,6,7}:{(168,1),(169,1)}
       174:{4,6,7}:{(170,1),(171,1)}

2137 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2138 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(138,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(18,1),(25,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(39,1),(139,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(29,1),(39,1)}
        11:{1,2,4,5,6}:{(8,1),(18,1),(19,1),(25,1),(40,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(22,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(55,1),(129,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(23,1),(25,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(24,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(14,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(16,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(34,1)}
        21:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(35,1),(36,1),(71,1),(119,1),(141,1)}
        22:{2,3,4,6}:{(12,1),(14,1),(28,1),(34,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(35,1),(37,1)}
        24:{1,3,4,7}:{(14,1),(16,1),(29,1),(36,1)}
        25:{1,2,5,6}:{(15,1),(37,1),(39,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(150,1),(152,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(54,1),(87,1)}
        28:{2,3,5,6}:{(18,1),(22,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(24,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(47,1)}
        32:{1,2,4,5}:{(20,1),(47,1),(49,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(51,1),(86,1),(108,1),(131,1)}
        34:{1,3,4,6}:{(20,1),(22,1),(42,1),(49,1),(51,1)}
        35:{2,3,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{2,3,4,7}:{(22,1),(24,1),(43,1),(51,1)}
        37:{1,3,5,6}:{(23,1),(25,1),(52,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(24,1),(26,1),(44,1),(53,1),(55,1),(79,1),(145,1),(148,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(55,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(34,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(150,1)}
        46:{1,2,3,4,7}:{(31,1),(63,1),(64,1),(121,1)}
        47:{1,2,3,5}:{(31,1),(32,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(95,1),(99,1),(121,1)}
        49:{1,2,4,6}:{(32,1),(34,1),(59,1),(65,1),(67,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(66,1),(68,1)}
        51:{1,3,4,7}:{(34,1),(36,1),(60,1),(67,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(68,1),(70,1),(71,1)}
        53:{2,3,4,6,7}:{(35,1),(36,1),(38,1),(61,1),(69,1),(71,1),(94,1),(136,1),(141,1)}
        54:{1,4,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(49,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(51,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(55,1),(78,1),(79,1),(144,1),(145,1)}
        63:{1,2,3,4,6}:{(46,1),(80,1),(81,1),(109,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,6}:{(47,1),(49,1),(82,1)}
        66:{1,2,4,6}:{(48,1),(50,1),(81,1),(83,1)}
        67:{1,2,4,7}:{(49,1),(51,1),(76,1),(82,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(83,1),(85,1),(86,1)}
        69:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(77,1),(84,1),(86,1),(106,1),(127,1),(131,1)}
        70:{2,4,5,6}:{(52,1),(54,1),(85,1),(87,1),(88,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(88,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(67,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(71,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,5}:{(63,1),(95,1)}
        81:{1,2,3,6}:{(64,1),(66,1)}
        82:{1,2,3,7}:{(65,1),(67,1)}
        83:{1,2,5,6}:{(66,1),(68,1),(99,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(92,1),(97,1),(99,1),(121,1)}
        85:{1,4,5,6}:{(68,1),(70,1),(101,1)}
        86:{1,3,5,7}:{(68,1),(69,1),(71,1),(99,1),(101,1)}
        87:{3,4,5,6}:{(70,1),(102,1)}
        88:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(101,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(144,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(86,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(88,1),(106,1),(107,1)}
        95:{1,2,4,5}:{(80,1),(108,1),(109,1)}
        96:{1,2,3,5,6}:{(80,1),(81,1),(83,1),(109,1),(110,1),(111,1)}
        97:{1,2,3,6,7}:{(81,1),(82,1),(84,1),(110,1),(127,1)}
        98:{1,2,4,5,6}:{(83,1),(85,1),(109,1),(111,1),(112,1),(113,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(86,1)}
       100:{1,3,4,5,6}:{(85,1),(87,1),(111,1),(113,1),(114,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(99,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(101,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,3,4,5}:{(95,1),(119,1),(120,1)}
       109:{1,2,4,6}:{(95,1),(96,1),(120,1),(121,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(99,1),(121,1),(123,1)}
       111:{1,3,5,6}:{(98,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(121,1),(123,1),(125,1)}
       113:{2,4,5,6}:{(100,1),(122,1),(124,1),(125,1)}
       114:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(123,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(112,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(114,1),(126,1),(127,1),(128,1)}
       119:{2,3,4,5}:{(108,1),(129,1),(130,1)}
       120:{1,3,4,6}:{(108,1),(109,1),(111,1),(130,1),(131,1)}
       121:{1,2,4,7}:{(109,1),(110,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(113,1),(130,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(111,1),(112,1),(127,1),(131,1),(133,1)}
       124:{1,4,5,6}:{(113,1),(132,1),(134,1)}
       125:{2,4,5,7}:{(113,1),(114,1),(128,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(123,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(125,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,5}:{(119,1),(139,1),(140,1)}
       130:{2,3,4,6}:{(119,1),(120,1),(122,1),(140,1),(141,1)}
       131:{1,3,4,7}:{(120,1),(121,1),(123,1),(141,1)}
       132:{1,3,5,6}:{(122,1),(124,1),(140,1),(142,1),(143,1)}
       133:{2,3,5,7}:{(122,1),(123,1),(125,1),(136,1),(141,1),(143,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(143,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(144,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(133,1),(145,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(144,1),(145,1)}
       138:{1,2,3,4}:{(146,1)}
       139:{1,2,4,5}:{(129,1),(146,1),(147,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{2,3,4,7}:{(130,1),(131,1),(133,1),(148,1)}
       142:{1,2,5,6}:{(132,1),(147,1),(149,1)}
       143:{1,3,5,7}:{(132,1),(133,1),(134,1),(145,1),(148,1),(149,1)}
       144:{1,5,6,7}:{(135,1),(137,1)}
       145:{1,3,6,7}:{(136,1),(137,1),(143,1),(150,1)}
       146:{1,2,3,5}:{(138,1),(139,1),(151,1)}
       147:{1,2,4,6}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,2,5,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2139 :   0:{1,2,3,4,7}:{(1,1),(2,1),(26,1),(135,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(16,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(144,1),(153,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(23,1),(26,1),(136,1),(151,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(15,1),(33,1),(39,1),(125,1),(146,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(12,1),(13,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(16,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(16,1),(17,1),(35,1)}
        10:{1,2,3,6,7}:{(5,1),(14,1),(17,1),(69,1),(153,1)}
        11:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(24,1),(46,1),(56,1),(111,1),(138,1)}
        12:{1,3,4,6}:{(6,1),(7,1),(19,1),(20,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(23,1)}
        14:{1,2,4,6,7}:{(7,1),(10,1),(21,1),(23,1),(26,1),(151,1),(152,1)}
        15:{1,3,4,5}:{(8,1),(24,1),(25,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(25,1),(26,1)}
        17:{1,2,3,5,7}:{(9,1),(10,1),(23,1),(26,1),(52,1)}
        18:{1,3,4,5,7}:{(11,1),(28,1),(29,1),(37,1),(62,1),(74,1),(94,1),(127,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(29,1),(30,1)}
        20:{1,3,5,6}:{(12,1),(13,1),(30,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(12,1),(14,1),(31,1),(33,1),(39,1),(66,1),(69,1),(146,1),(147,1)}
        22:{1,2,4,5,6}:{(13,1),(16,1),(32,1),(35,1),(36,1),(67,1)}
        23:{1,2,5,7}:{(13,1),(14,1),(33,1)}
        24:{2,3,4,5}:{(15,1),(37,1),(38,1)}
        25:{1,3,4,6}:{(15,1),(16,1),(35,1),(38,1),(39,1)}
        26:{1,2,4,7}:{(16,1),(17,1),(39,1)}
        27:{1,2,3,4,7}:{(40,1),(41,1),(53,1),(113,1)}
        28:{1,2,4,5,7}:{(18,1),(41,1),(42,1),(54,1),(75,1),(79,1),(93,1),(113,1)}
        29:{1,3,4,6}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,5,6}:{(19,1),(20,1),(43,1),(45,1),(46,1)}
        31:{2,3,4,6,7}:{(19,1),(21,1),(44,1),(46,1),(56,1),(83,1),(89,1),(138,1),(139,1)}
        32:{1,4,5,6}:{(20,1),(45,1),(49,1)}
        33:{1,3,5,7}:{(20,1),(21,1),(23,1),(46,1),(49,1)}
        34:{1,2,5,6,7}:{(23,1),(47,1),(50,1),(122,1),(152,1)}
        35:{1,3,5,6}:{(22,1),(25,1),(51,1),(52,1)}
        36:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(49,1),(50,1),(52,1),(88,1)}
        37:{1,3,4,5}:{(24,1),(54,1),(55,1)}
        38:{2,3,4,6}:{(24,1),(25,1),(51,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(25,1),(26,1),(52,1),(56,1)}
        40:{1,2,3,4,6}:{(27,1),(57,1),(58,1),(95,1)}
        41:{1,2,3,5,7}:{(27,1),(28,1),(57,1),(58,1),(72,1),(110,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(58,1),(59,1)}
        43:{1,3,5,6}:{(29,1),(30,1),(59,1),(61,1),(62,1)}
        44:{1,3,4,6,7}:{(29,1),(31,1),(60,1),(62,1),(74,1),(100,1),(108,1),(127,1),(128,1)}
        45:{2,4,5,6}:{(30,1),(32,1),(61,1),(64,1),(65,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(33,1),(62,1),(65,1)}
        47:{1,3,5,6,7}:{(33,1),(34,1),(63,1),(66,1),(69,1),(147,1),(149,1)}
        48:{1,3,4,5,6}:{(32,1),(35,1),(64,1),(67,1),(68,1)}
        49:{1,4,5,7}:{(32,1),(33,1),(65,1),(66,1)}
        50:{1,2,4,6,7}:{(34,1),(36,1),(66,1),(69,1),(106,1)}
        51:{2,3,5,6}:{(35,1),(38,1),(67,1),(70,1),(71,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(39,1),(69,1),(71,1)}
        53:{1,2,3,4}:{(72,1)}
        54:{1,2,4,5}:{(37,1),(72,1),(73,1)}
        55:{1,3,4,6}:{(37,1),(38,1),(70,1),(73,1),(74,1)}
        56:{2,3,4,7}:{(38,1),(39,1),(71,1),(74,1)}
        57:{1,2,3,5}:{(40,1),(75,1)}
        58:{1,2,3,6}:{(41,1),(42,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(79,1)}
        60:{1,2,4,6,7}:{(42,1),(44,1),(77,1),(79,1),(93,1),(113,1),(124,1)}
        61:{1,4,5,6}:{(43,1),(45,1),(82,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(46,1),(79,1),(82,1)}
        63:{2,3,5,6,7}:{(46,1),(47,1),(80,1),(83,1),(89,1),(121,1),(122,1),(139,1),(142,1)}
        64:{3,4,5,6}:{(45,1),(84,1)}
        65:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1),(84,1)}
        66:{1,4,6,7}:{(47,1),(49,1),(83,1)}
        67:{2,4,5,6}:{(48,1),(51,1),(87,1),(88,1)}
        68:{1,3,4,5,7}:{(48,1),(49,1),(52,1),(84,1),(86,1),(88,1)}
        69:{1,3,6,7}:{(50,1),(52,1),(89,1)}
        70:{1,3,5,6}:{(51,1),(55,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,7}:{(51,1),(52,1),(56,1),(88,1),(89,1),(91,1)}
        72:{1,2,3,5}:{(53,1),(54,1),(92,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(90,1),(92,1),(93,1)}
        74:{1,3,4,7}:{(55,1),(56,1),(91,1),(93,1)}
        75:{1,2,4,5}:{(57,1),(94,1),(95,1)}
        76:{1,2,3,5,6}:{(57,1),(58,1),(59,1),(95,1),(96,1),(98,1)}
        77:{1,2,3,6,7}:{(58,1),(60,1),(96,1),(110,1),(128,1)}
        78:{1,2,4,5,6}:{(59,1),(61,1),(95,1),(98,1),(99,1),(101,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(62,1)}
        80:{1,3,5,6,7}:{(62,1),(63,1),(97,1),(100,1),(108,1),(128,1),(134,1)}
        81:{1,3,4,5,6}:{(61,1),(64,1),(98,1),(101,1),(102,1)}
        82:{1,4,5,7}:{(61,1),(62,1),(65,1),(100,1)}
        83:{2,4,6,7}:{(63,1),(65,1),(66,1),(100,1),(104,1)}
        84:{3,4,5,7}:{(64,1),(65,1),(104,1)}
        85:{1,4,5,6,7}:{(66,1),(103,1),(105,1),(149,1)}
        86:{1,3,4,6,7}:{(66,1),(68,1),(69,1),(104,1),(105,1),(106,1)}
        87:{1,4,5,6}:{(67,1),(70,1),(107,1)}
        88:{2,4,5,7}:{(67,1),(68,1),(71,1),(106,1),(107,1)}
        89:{2,3,6,7}:{(69,1),(71,1),(106,1),(108,1)}
        90:{1,2,5,6}:{(70,1),(73,1),(109,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(74,1),(107,1),(108,1),(109,1)}
        92:{1,2,3,6}:{(72,1),(73,1),(110,1)}
        93:{1,2,4,7}:{(73,1),(74,1),(109,1),(110,1)}
        94:{1,3,4,5}:{(75,1),(111,1),(112,1)}
        95:{1,2,4,6}:{(75,1),(76,1),(112,1),(113,1)}
        96:{1,2,3,5,7}:{(76,1),(77,1),(79,1),(113,1),(116,1)}
        97:{1,2,5,6,7}:{(79,1),(80,1),(114,1),(124,1),(142,1)}
        98:{1,3,5,6}:{(78,1),(112,1),(115,1),(116,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(113,1),(114,1),(116,1),(120,1)}
       100:{1,4,6,7}:{(80,1),(82,1),(83,1)}
       101:{2,4,5,6}:{(81,1),(115,1),(119,1),(120,1)}
       102:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(116,1),(118,1),(120,1)}
       103:{2,4,5,6,7}:{(83,1),(85,1),(117,1),(121,1),(122,1),(142,1)}
       104:{3,4,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,3,5,6,7}:{(85,1),(86,1),(121,1),(122,1)}
       106:{2,4,6,7}:{(86,1),(88,1),(89,1),(122,1),(123,1)}
       107:{1,4,5,7}:{(87,1),(88,1),(91,1),(123,1)}
       108:{1,3,6,7}:{(89,1),(91,1),(123,1),(124,1)}
       109:{1,2,5,7}:{(90,1),(91,1),(93,1),(124,1)}
       110:{1,2,3,7}:{(92,1),(93,1)}
       111:{2,3,4,5}:{(94,1),(125,1),(126,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(98,1),(126,1),(127,1)}
       113:{1,2,4,7}:{(95,1),(96,1),(127,1)}
       114:{1,2,4,6,7}:{(97,1),(99,1),(100,1),(128,1),(132,1)}
       115:{2,3,5,6}:{(98,1),(101,1),(126,1),(129,1),(130,1)}
       116:{1,3,5,7}:{(98,1),(99,1),(127,1),(128,1),(130,1)}
       117:{1,4,5,6,7}:{(100,1),(103,1),(131,1),(134,1)}
       118:{1,3,4,6,7}:{(100,1),(102,1),(104,1),(128,1),(131,1),(132,1)}
       119:{1,4,5,6}:{(101,1),(129,1),(133,1)}
       120:{2,4,5,7}:{(101,1),(102,1),(130,1),(132,1),(133,1)}
       121:{3,5,6,7}:{(103,1),(104,1)}
       122:{2,5,6,7}:{(105,1),(106,1),(134,1)}
       123:{1,4,6,7}:{(106,1),(107,1),(108,1),(134,1)}
       124:{1,2,6,7}:{(108,1),(109,1)}
       125:{1,3,4,5}:{(111,1),(136,1),(137,1)}
       126:{2,3,4,6}:{(111,1),(112,1),(115,1),(137,1),(138,1)}
       127:{1,3,4,7}:{(112,1),(113,1),(116,1),(138,1)}
       128:{1,3,6,7}:{(114,1),(116,1),(139,1)}
       129:{1,3,5,6}:{(115,1),(119,1),(137,1),(140,1),(141,1)}
       130:{2,3,5,7}:{(115,1),(116,1),(120,1),(138,1),(139,1),(141,1)}
       131:{1,3,5,6,7}:{(117,1),(118,1),(121,1),(142,1)}
       132:{2,4,6,7}:{(118,1),(120,1),(139,1),(142,1),(143,1)}
       133:{1,4,5,7}:{(119,1),(120,1),(141,1),(143,1)}
       134:{1,5,6,7}:{(122,1),(123,1)}
       135:{1,2,3,4}:{(144,1)}
       136:{1,2,4,5}:{(125,1),(144,1),(145,1)}
       137:{1,3,4,6}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       138:{2,3,4,7}:{(126,1),(127,1),(130,1),(146,1)}
       139:{2,3,6,7}:{(128,1),(130,1),(132,1),(147,1)}
       140:{1,2,5,6}:{(129,1),(145,1),(148,1)}
       141:{1,3,5,7}:{(129,1),(130,1),(133,1),(146,1),(147,1),(148,1)}
       142:{2,5,6,7}:{(131,1),(132,1),(149,1)}
       143:{1,4,6,7}:{(132,1),(133,1),(147,1),(149,1)}
       144:{1,2,3,5}:{(135,1),(136,1),(150,1)}
       145:{1,2,4,6}:{(136,1),(137,1),(140,1),(150,1),(151,1)}
       146:{1,3,4,7}:{(137,1),(138,1),(141,1),(151,1)}
       147:{1,3,6,7}:{(139,1),(141,1),(143,1),(152,1)}
       148:{1,2,5,7}:{(140,1),(141,1),(151,1),(152,1)}
       149:{1,5,6,7}:{(142,1),(143,1)}
       150:{1,2,3,6}:{(144,1),(145,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2140 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(29,1),(73,1),(76,1),(77,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(39,1),(63,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(63,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(28,1),(50,1),(73,1),(75,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(18,1),(19,1),(61,1),(88,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(65,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(63,1)}
        18:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(28,1)}
        19:{2,3,5,6,7}:{(12,1),(14,1),(28,1),(29,1),(49,1),(73,1),(76,1)}
        20:{1,3,4,5,6}:{(13,1),(27,1),(30,1),(53,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(76,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(37,1),(61,1),(87,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(21,1),(37,1),(39,1)}
        29:{1,3,5,6,7}:{(19,1),(22,1),(39,1),(40,1),(61,1),(64,1)}
        30:{2,4,5,6}:{(20,1),(21,1),(37,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(65,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(91,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(30,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,4,6,7}:{(28,1),(31,1),(49,1),(51,1),(76,1),(97,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(32,1),(50,1)}
        40:{1,2,5,6,7}:{(29,1),(33,1),(52,1),(73,1)}
        41:{2,3,5,6}:{(30,1),(31,1),(49,1),(53,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(50,1),(53,1),(98,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(78,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(41,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(42,1),(61,1),(102,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(61,1),(63,1),(64,1),(87,1),(88,1),(102,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(44,1),(62,1),(63,1),(64,1)}
        53:{1,3,5,6}:{(41,1),(42,1),(43,1),(61,1),(65,1)}
        54:{1,2,4,5,6}:{(42,1),(44,1),(62,1),(65,1),(66,1),(70,1),(90,1)}
        55:{2,4,6}:{(43,1),(46,1),(65,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(90,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,4,6,7}:{(51,1),(55,1),(73,1),(76,1),(97,1)}
        64:{1,3,6,7}:{(52,1),(56,1),(74,1),(76,1)}
        65:{2,5,6}:{(53,1),(55,1),(73,1)}
        66:{1,3,5,6}:{(54,1),(56,1),(74,1),(78,1),(79,1),(82,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(77,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,4,6,7}:{(63,1),(67,1),(85,1),(88,1),(102,1)}
        76:{2,3,6,7}:{(63,1),(64,1),(68,1),(86,1),(88,1)}
        77:{1,2,5,6}:{(65,1),(67,1),(85,1),(89,1),(104,1)}
        78:{2,3,5,6}:{(65,1),(66,1),(68,1),(86,1),(89,1),(90,1),(94,1)}
        79:{1,3,4,6}:{(66,1),(87,1),(90,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(77,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(78,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(79,1),(97,1)}
        88:{1,3,6,7}:{(75,1),(76,1),(80,1),(96,1)}
        89:{1,3,5,6}:{(77,1),(78,1),(80,1),(96,1),(98,1),(101,1)}
        90:{2,4,6}:{(78,1),(79,1),(97,1),(98,1),(99,1)}
        91:{1,3,4,5}:{(79,1),(82,1),(99,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(89,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(90,1),(102,1)}
        98:{1,4,6}:{(89,1),(90,1),(102,1),(103,1)}
        99:{2,4,5}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2141 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(33,1),(36,1),(45,1),(47,1),(96,1),(103,1),(104,1),(163,1),(187,1),(195,1),(231,1),(237,1),(275,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(45,1),(51,1),(119,1),(195,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(37,1),(42,1),(45,1),(109,1),(112,1)}
         3:{1,3,4,5,7}:{(13,1),(14,1),(15,1),(24,1),(27,1),(56,1),(61,1),(68,1),(79,1),(127,1),(154,1),(159,1),(160,1),(208,1),(209,1),(224,1),(227,1),(261,1)}
         4:{1,3,5,7}:{(0,1),(15,1),(16,1),(17,1),(68,1),(79,1),(199,1),(227,1),(255,1),(261,1)}
         5:{1,2,4,6}:{(0,1),(17,1),(18,1),(63,1),(67,1),(72,1),(74,1),(135,1),(210,1),(218,1)}
         6:{1,3,6,7}:{(1,1),(17,1),(20,1),(21,1),(218,1),(227,1)}
         7:{1,2,5,7}:{(1,1),(18,1),(21,1),(23,1),(85,1),(158,1),(269,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(22,1),(23,1),(67,1),(74,1),(77,1)}
         9:{1,3,5,7}:{(2,1),(19,1),(23,1),(24,1),(68,1),(79,1)}
        10:{1,3,4,6,7}:{(14,1),(26,1),(27,1),(29,1),(83,1),(88,1),(159,1),(160,1),(227,1)}
        11:{1,3,5,6,7}:{(19,1),(27,1),(28,1),(29,1),(88,1),(151,1)}
        12:{1,2,4,5,7}:{(30,1),(31,1),(33,1),(49,1),(89,1),(96,1),(101,1),(118,1),(165,1),(166,1),(179,1),(191,1),(195,1),(237,1),(242,1),(288,1)}
        13:{2,4,5,7}:{(3,1),(32,1),(33,1),(34,1),(36,1),(52,1),(89,1),(96,1),(103,1),(121,1),(165,1),(173,1),(195,1),(237,1)}
        14:{1,3,4,6}:{(3,1),(34,1),(35,1),(42,1),(97,1),(109,1),(175,1),(176,1),(189,1),(239,1),(249,1)}
        15:{1,3,4,7}:{(4,1),(36,1),(37,1),(45,1),(112,1),(275,1),(280,1)}
        16:{2,3,5,7}:{(4,1),(36,1),(38,1),(39,1),(96,1),(103,1),(170,1),(236,1)}
        17:{1,3,6}:{(4,1),(5,1),(39,1),(109,1),(239,1)}
        18:{1,2,5,6}:{(5,1),(7,1),(40,1),(41,1),(99,1),(103,1),(174,1),(231,1),(286,1)}
        19:{1,3,5,6}:{(9,1),(41,1),(42,1),(109,1)}
        20:{2,3,6,7}:{(6,1),(8,1),(39,1),(43,1),(44,1),(109,1),(119,1),(184,1)}
        21:{1,3,5,7}:{(6,1),(7,1),(40,1),(44,1),(45,1),(187,1),(247,1)}
        22:{1,4,6,7}:{(8,1),(43,1),(46,1),(102,1),(108,1),(111,1)}
        23:{2,5,7}:{(8,1),(9,1),(41,1),(46,1),(103,1)}
        24:{1,4,5,7}:{(9,1),(42,1),(45,1),(47,1),(104,1),(187,1)}
        25:{1,2,4,6,7}:{(31,1),(48,1),(49,1),(51,1),(114,1),(118,1),(119,1),(195,1)}
        26:{2,4,6,7}:{(10,1),(34,1),(50,1),(51,1),(52,1),(119,1),(121,1),(195,1)}
        27:{1,3,5,7}:{(10,1),(35,1),(52,1),(53,1),(123,1)}
        28:{2,5,6,7}:{(11,1),(41,1),(52,1),(54,1),(55,1),(188,1)}
        29:{1,4,6,7}:{(11,1),(42,1),(53,1),(55,1),(189,1),(198,1)}
        30:{1,3,5,7}:{(12,1),(56,1),(57,1),(58,1),(127,1),(140,1),(213,1),(224,1),(227,1),(261,1)}
        31:{1,2,4,6}:{(12,1),(58,1),(59,1),(63,1),(126,1),(131,1),(135,1),(210,1),(222,1),(300,1)}
        32:{2,3,5,7}:{(13,1),(60,1),(61,1),(62,1),(79,1),(134,1),(150,1),(224,1),(227,1),(261,1),(271,1)}
        33:{1,4,5,7}:{(13,1),(61,1),(63,1),(66,1),(85,1),(125,1),(142,1),(159,1),(201,1),(208,1)}
        34:{2,4,6}:{(13,1),(14,1),(62,1),(63,1),(64,1),(135,1)}
        35:{1,3,5,6}:{(14,1),(27,1),(64,1),(65,1),(68,1),(127,1),(139,1)}
        36:{2,4,7}:{(15,1),(16,1),(66,1),(67,1),(260,1)}
        37:{1,3,4,6}:{(15,1),(17,1),(67,1),(68,1),(72,1),(146,1)}
        38:{1,3,5,7}:{(16,1),(66,1),(69,1),(70,1),(140,1),(142,1),(213,1)}
        39:{2,3,6}:{(16,1),(17,1),(67,1),(70,1),(135,1)}
        40:{1,3,5,6}:{(17,1),(18,1),(21,1),(68,1),(71,1),(72,1),(218,1),(255,1),(267,1),(268,1)}
        41:{2,5,6}:{(19,1),(23,1),(73,1),(74,1)}
        42:{1,4,6}:{(19,1),(24,1),(74,1),(218,1)}
        43:{1,3,6,7}:{(20,1),(22,1),(70,1),(75,1),(76,1),(147,1)}
        44:{2,3,5,7}:{(20,1),(21,1),(23,1),(71,1),(76,1),(77,1),(79,1),(150,1),(158,1),(219,1),(227,1)}
        45:{1,4,7}:{(21,1),(72,1),(77,1)}
        46:{1,5,7}:{(22,1),(23,1),(73,1),(142,1)}
        47:{2,4,5,7}:{(23,1),(24,1),(74,1),(77,1),(78,1),(79,1),(143,1),(150,1)}
        48:{1,3,6,7}:{(25,1),(58,1),(81,1),(82,1),(227,1),(300,1)}
        49:{1,2,5,7}:{(25,1),(59,1),(82,1),(85,1),(153,1),(158,1),(301,1)}
        50:{2,3,6,7}:{(26,1),(62,1),(83,1),(84,1),(88,1),(162,1),(227,1)}
        51:{1,4,6,7}:{(26,1),(63,1),(83,1),(85,1),(159,1)}
        52:{2,5,7}:{(26,1),(27,1),(64,1),(85,1)}
        53:{1,4,5,7}:{(27,1),(29,1),(65,1),(86,1),(159,1),(229,1)}
        54:{1,5,6,7}:{(28,1),(73,1),(85,1),(87,1),(221,1)}
        55:{2,4,6,7}:{(28,1),(29,1),(74,1),(86,1),(87,1),(88,1),(162,1),(222,1)}
        56:{1,3,4,7}:{(30,1),(89,1),(90,1),(118,1),(194,1),(242,1),(280,1)}
        57:{2,3,5,7}:{(30,1),(89,1),(91,1),(92,1),(96,1),(165,1),(170,1),(236,1)}
        58:{1,3,6}:{(30,1),(31,1),(92,1),(239,1),(249,1)}
        59:{1,2,5,6}:{(31,1),(49,1),(93,1),(99,1),(165,1),(174,1),(179,1),(188,1),(304,1)}
        60:{2,3,4,7}:{(32,1),(36,1),(89,1),(94,1),(95,1),(112,1),(121,1),(170,1),(186,1),(194,1),(252,1),(253,1),(280,1)}
        61:{1,3,5,7}:{(32,1),(33,1),(94,1),(96,1),(97,1),(172,1),(187,1),(288,1)}
        62:{2,3,6}:{(32,1),(34,1),(97,1),(109,1),(184,1),(239,1),(249,1),(287,1)}
        63:{1,4,6}:{(33,1),(34,1),(97,1),(99,1)}
        64:{2,5,6}:{(34,1),(35,1),(52,1),(99,1),(103,1),(165,1)}
        65:{1,4,5,6}:{(35,1),(42,1),(53,1),(100,1),(104,1),(166,1),(175,1),(189,1),(241,1)}
        66:{1,4,7}:{(36,1),(38,1),(102,1),(242,1)}
        67:{2,4,6}:{(36,1),(37,1),(39,1),(102,1),(103,1)}
        68:{1,3,5}:{(37,1),(103,1),(104,1),(181,1)}
        69:{1,2,5,7}:{(38,1),(96,1),(101,1),(105,1),(179,1),(288,1)}
        70:{1,3,6}:{(38,1),(39,1),(102,1),(105,1)}
        71:{2,3,5,6}:{(39,1),(40,1),(41,1),(44,1),(103,1),(106,1),(107,1),(109,1),(174,1),(181,1),(184,1),(236,1),(239,1),(244,1),(245,1)}
        72:{1,4,6}:{(40,1),(45,1),(104,1),(107,1),(275,1)}
        73:{1,5,6}:{(41,1),(46,1),(108,1)}
        74:{2,4,6}:{(41,1),(42,1),(47,1),(108,1),(109,1),(184,1)}
        75:{1,2,6,7}:{(43,1),(105,1),(110,1),(119,1),(184,1),(198,1)}
        76:{1,3,5,7}:{(43,1),(44,1),(46,1),(106,1),(110,1),(111,1),(185,1)}
        77:{2,4,7}:{(44,1),(45,1),(107,1),(111,1),(112,1)}
        78:{1,4,5,7}:{(46,1),(47,1),(108,1),(111,1),(113,1),(180,1)}
        79:{3,5,7}:{(47,1),(109,1),(112,1),(181,1)}
        80:{1,3,4,6,7}:{(48,1),(90,1),(114,1),(115,1),(118,1),(189,1),(194,1),(249,1)}
        81:{2,3,6,7}:{(48,1),(92,1),(114,1),(116,1),(117,1),(119,1),(249,1),(287,1)}
        82:{1,3,5,7}:{(48,1),(49,1),(93,1),(117,1),(118,1),(288,1),(289,1)}
        83:{1,3,6,7}:{(50,1),(51,1),(97,1),(119,1),(120,1),(198,1)}
        84:{2,3,5,7}:{(50,1),(52,1),(98,1),(120,1),(121,1),(123,1),(197,1),(253,1)}
        85:{1,5,7}:{(51,1),(52,1),(99,1)}
        86:{2,4,5,7}:{(52,1),(53,1),(55,1),(100,1),(121,1),(122,1),(123,1),(195,1),(197,1)}
        87:{1,4,6,7}:{(54,1),(55,1),(108,1),(122,1),(124,1),(248,1)}
        88:{3,6,7}:{(55,1),(109,1),(123,1),(249,1)}
        89:{2,4,7}:{(56,1),(57,1),(125,1),(126,1),(260,1)}
        90:{1,3,4,6}:{(56,1),(58,1),(126,1),(127,1),(131,1),(205,1)}
        91:{1,3,5,7}:{(57,1),(125,1),(128,1),(129,1),(199,1),(201,1),(255,1)}
        92:{2,3,6}:{(57,1),(58,1),(126,1),(129,1),(135,1)}
        93:{1,3,5,6}:{(58,1),(59,1),(82,1),(127,1),(130,1),(131,1),(213,1),(293,1),(294,1),(300,1)}
        94:{1,3,4,7}:{(60,1),(61,1),(66,1),(125,1),(132,1),(133,1),(140,1),(159,1),(199,1),(220,1),(227,1),(273,1),(274,1)}
        95:{2,3,4,6}:{(60,1),(62,1),(67,1),(126,1),(133,1),(134,1),(137,1),(146,1),(205,1),(206,1),(217,1),(259,1),(260,1),(263,1),(295,1)}
        96:{2,5,7}:{(61,1),(132,1),(135,1),(207,1)}
        97:{1,3,6}:{(61,1),(62,1),(63,1),(135,1),(218,1),(300,1)}
        98:{2,3,5,6}:{(62,1),(64,1),(84,1),(134,1),(136,1),(137,1),(139,1),(212,1),(263,1)}
        99:{1,5,6}:{(63,1),(64,1),(85,1),(142,1),(201,1)}
       100:{2,4,5,6}:{(64,1),(65,1),(74,1),(86,1),(137,1),(138,1),(139,1),(143,1),(202,1),(210,1),(212,1),(222,1)}
       101:{1,2,4,7}:{(66,1),(69,1),(132,1),(140,1),(141,1),(273,1),(301,1)}
       102:{1,4,6}:{(66,1),(67,1),(70,1),(142,1)}
       103:{2,5}:{(67,1),(68,1),(142,1)}
       104:{1,4,5}:{(68,1),(72,1),(143,1),(267,1)}
       105:{1,2,6}:{(69,1),(70,1),(135,1),(300,1)}
       106:{1,3,5,6}:{(70,1),(71,1),(73,1),(76,1),(142,1),(144,1),(145,1),(147,1),(213,1),(215,1),(216,1)}
       107:{2,4,6}:{(71,1),(72,1),(77,1),(143,1),(145,1),(146,1),(260,1)}
       108:{1,4,6}:{(73,1),(74,1),(78,1),(147,1)}
       109:{3,6}:{(74,1),(79,1)}
       110:{1,2,5,7}:{(75,1),(76,1),(144,1),(148,1),(150,1),(158,1),(229,1)}
       111:{1,4,7}:{(76,1),(77,1),(145,1)}
       112:{3,4,7}:{(77,1),(79,1),(146,1),(227,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(147,1),(149,1),(150,1),(215,1)}
       114:{2,4,6,7}:{(80,1),(81,1),(126,1),(152,1),(153,1),(157,1),(222,1)}
       115:{1,3,5,7}:{(80,1),(127,1),(151,1),(153,1),(154,1),(224,1)}
       116:{1,3,6,7}:{(81,1),(129,1),(152,1),(155,1),(156,1),(270,1)}
       117:{2,3,5,7}:{(81,1),(82,1),(130,1),(153,1),(156,1),(157,1),(158,1),(224,1),(227,1),(271,1),(272,1)}
       118:{1,4,7}:{(82,1),(131,1),(157,1)}
       119:{2,6,7}:{(83,1),(135,1),(158,1)}
       120:{1,3,5,7}:{(83,1),(84,1),(85,1),(136,1),(158,1),(159,1),(227,1),(229,1),(274,1)}
       121:{2,4,7}:{(84,1),(137,1),(159,1),(160,1)}
       122:{1,4,5,7}:{(85,1),(86,1),(87,1),(138,1),(159,1),(161,1)}
       123:{3,5,7}:{(86,1),(88,1),(139,1),(160,1),(227,1)}
       124:{1,3,6,7}:{(87,1),(88,1),(147,1),(161,1),(162,1),(270,1)}
       125:{1,4,7}:{(89,1),(91,1),(164,1),(275,1)}
       126:{2,4,6}:{(89,1),(90,1),(92,1),(164,1),(165,1)}
       127:{1,3,5}:{(90,1),(165,1),(166,1),(233,1)}
       128:{1,2,5,7}:{(91,1),(96,1),(163,1),(167,1),(187,1),(231,1)}
       129:{1,3,6}:{(91,1),(92,1),(164,1),(167,1)}
       130:{2,3,5,6}:{(92,1),(93,1),(117,1),(165,1),(168,1),(169,1),(174,1),(188,1),(233,1),(236,1),(239,1),(249,1),(277,1),(278,1),(287,1)}
       131:{1,4,6}:{(93,1),(118,1),(166,1),(169,1),(242,1)}
       132:{2,4,7}:{(94,1),(96,1),(170,1),(171,1),(290,1)}
       133:{1,3,4,6}:{(94,1),(95,1),(97,1),(102,1),(164,1),(171,1),(172,1),(175,1),(178,1),(230,1),(239,1),(242,1),(246,1),(275,1),(279,1),(280,1),(283,1),(305,1)}
       134:{2,3,5}:{(95,1),(103,1),(165,1),(172,1),(173,1),(181,1),(233,1),(244,1),(277,1)}
       135:{2,6}:{(96,1),(97,1)}
       136:{1,3,5,6}:{(97,1),(98,1),(99,1),(120,1),(172,1),(174,1),(175,1),(239,1),(241,1),(283,1)}
       137:{2,4,6}:{(98,1),(121,1),(173,1),(175,1),(176,1)}
       138:{1,4,5,6}:{(99,1),(100,1),(108,1),(122,1),(175,1),(177,1),(180,1),(232,1),(248,1)}
       139:{3,5,6}:{(100,1),(109,1),(123,1),(176,1),(181,1),(233,1),(239,1),(249,1)}
       140:{1,3,7}:{(101,1),(170,1),(178,1)}
       141:{1,2,4,6}:{(101,1),(102,1),(105,1),(171,1),(178,1),(179,1),(242,1),(279,1),(304,1),(312,1)}
       142:{1,5}:{(102,1),(103,1)}
       143:{2,4,5}:{(103,1),(104,1),(107,1),(180,1),(181,1),(244,1)}
       144:{1,2,5,6}:{(105,1),(106,1),(110,1),(174,1),(179,1),(182,1),(184,1),(241,1),(244,1)}
       145:{1,4,6}:{(106,1),(107,1),(111,1),(180,1),(242,1)}
       146:{3,4,6}:{(107,1),(109,1),(112,1),(181,1),(239,1),(280,1)}
       147:{1,3,6}:{(108,1),(109,1),(113,1),(184,1)}
       148:{1,2,4,7}:{(110,1),(111,1),(182,1),(185,1),(186,1),(195,1),(254,1),(290,1)}
       149:{1,3,4,7}:{(111,1),(112,1),(113,1),(183,1),(185,1),(186,1)}
       150:{2,5,7}:{(113,1),(184,1),(186,1),(187,1),(244,1)}
       151:{1,3,5,6}:{(115,1),(188,1),(189,1),(249,1)}
       152:{1,4,6,7}:{(114,1),(116,1),(164,1),(190,1),(193,1),(248,1)}
       153:{2,5,7}:{(114,1),(115,1),(165,1),(188,1),(190,1)}
       154:{1,4,5,7}:{(115,1),(118,1),(166,1),(189,1),(191,1),(288,1)}
       155:{1,2,6,7}:{(116,1),(119,1),(167,1),(192,1),(198,1),(287,1)}
       156:{1,3,5,7}:{(116,1),(117,1),(168,1),(190,1),(192,1),(193,1),(251,1)}
       157:{2,4,7}:{(117,1),(118,1),(169,1),(193,1),(194,1)}
       158:{2,5,7}:{(119,1),(120,1),(174,1),(195,1),(290,1)}
       159:{1,4,7}:{(120,1),(121,1),(175,1),(195,1)}
       160:{3,4,7}:{(121,1),(123,1),(176,1)}
       161:{1,3,5,7}:{(122,1),(123,1),(124,1),(177,1),(196,1),(197,1)}
       162:{2,6,7}:{(124,1),(184,1),(197,1),(198,1),(287,1)}
       163:{1,2,4,7}:{(125,1),(128,1),(132,1),(199,1),(200,1),(220,1),(269,1)}
       164:{1,4,6}:{(125,1),(126,1),(129,1),(201,1)}
       165:{2,5}:{(126,1),(127,1),(201,1)}
       166:{1,4,5}:{(127,1),(131,1),(202,1),(293,1)}
       167:{1,2,6}:{(128,1),(129,1),(135,1),(218,1)}
       168:{1,3,5,6}:{(129,1),(130,1),(156,1),(201,1),(203,1),(204,1),(221,1),(255,1),(257,1),(258,1),(270,1)}
       169:{2,4,6}:{(130,1),(131,1),(157,1),(202,1),(204,1),(205,1),(260,1)}
       170:{2,3,7}:{(132,1),(140,1),(199,1),(206,1),(227,1)}
       171:{2,4,6}:{(132,1),(133,1),(135,1),(206,1),(207,1),(260,1),(297,1),(310,1)}
       172:{1,3,5}:{(133,1),(134,1),(142,1),(201,1),(207,1),(208,1),(261,1),(267,1),(293,1)}
       173:{2,4,5}:{(134,1),(137,1),(208,1),(209,1),(260,1)}
       174:{2,5,6}:{(135,1),(136,1),(158,1),(207,1),(210,1),(297,1)}
       175:{1,4,6}:{(136,1),(137,1),(159,1),(208,1),(210,1)}
       176:{3,4,6}:{(137,1),(139,1),(160,1),(209,1)}
       177:{1,3,5,6}:{(138,1),(139,1),(147,1),(161,1),(211,1),(212,1),(215,1),(257,1),(270,1)}
       178:{1,3,6}:{(140,1),(141,1),(206,1),(213,1),(314,1)}
       179:{1,2,5}:{(141,1),(142,1),(207,1),(213,1),(293,1)}
       180:{1,4,5}:{(142,1),(143,1),(145,1),(215,1)}
       181:{3,5}:{(143,1),(146,1)}
       182:{1,2,4,6}:{(144,1),(145,1),(148,1),(210,1),(214,1),(216,1),(217,1),(264,1),(297,1)}
       183:{1,3,4,6}:{(145,1),(146,1),(147,1),(149,1),(215,1),(216,1),(217,1),(265,1)}
       184:{2,6}:{(147,1),(150,1),(218,1)}
       185:{1,3,7}:{(148,1),(216,1),(219,1),(227,1)}
       186:{2,4,7}:{(149,1),(150,1),(217,1),(219,1),(220,1)}
       187:{1,5,7}:{(150,1),(218,1),(220,1),(267,1)}
       188:{2,5,6}:{(151,1),(153,1),(221,1),(222,1)}
       189:{1,4,6}:{(151,1),(154,1),(222,1),(300,1)}
       190:{1,5,7}:{(152,1),(153,1),(201,1),(221,1)}
       191:{2,4,5,7}:{(153,1),(154,1),(157,1),(202,1),(222,1),(223,1),(224,1),(271,1)}
       192:{1,2,5,7}:{(155,1),(156,1),(158,1),(203,1),(225,1),(229,1),(271,1)}
       193:{1,4,7}:{(156,1),(157,1),(204,1)}
       194:{3,4,7}:{(157,1),(205,1),(224,1),(227,1)}
       195:{2,4,7}:{(158,1),(159,1),(210,1),(227,1)}
       196:{1,3,4,7}:{(159,1),(160,1),(161,1),(211,1),(227,1),(228,1),(274,1)}
       197:{2,5,7}:{(161,1),(162,1),(212,1),(228,1),(229,1)}
       198:{1,6,7}:{(162,1),(218,1),(229,1),(300,1)}
       199:{1,3,7}:{(163,1),(170,1),(230,1)}
       200:{1,2,4,6}:{(163,1),(164,1),(167,1),(171,1),(230,1),(231,1),(246,1),(275,1),(286,1),(307,1)}
       201:{1,5}:{(164,1),(165,1)}
       202:{2,4,5}:{(165,1),(166,1),(169,1),(232,1),(233,1),(277,1)}
       203:{1,2,5,6}:{(167,1),(168,1),(174,1),(192,1),(231,1),(234,1),(241,1),(277,1),(287,1)}
       204:{1,4,6}:{(168,1),(169,1),(193,1),(232,1),(275,1)}
       205:{3,4,6}:{(169,1),(194,1),(233,1),(239,1),(249,1),(280,1)}
       206:{2,3,6}:{(170,1),(171,1),(178,1),(230,1),(236,1),(239,1),(313,1)}
       207:{2,5}:{(171,1),(172,1)}
       208:{1,4,5}:{(172,1),(173,1),(175,1),(237,1),(242,1),(275,1)}
       209:{3,4,5}:{(173,1),(176,1),(181,1),(233,1),(280,1)}
       210:{2,4,6}:{(174,1),(175,1),(195,1),(237,1),(239,1)}
       211:{1,3,4,6}:{(175,1),(176,1),(177,1),(196,1),(238,1),(239,1),(240,1),(283,1)}
       212:{2,5,6}:{(177,1),(184,1),(197,1),(240,1),(241,1),(244,1),(277,1),(287,1)}
       213:{1,3,5}:{(178,1),(179,1),(236,1),(242,1)}
       214:{1,2,4,5}:{(179,1),(180,1),(182,1),(237,1),(242,1),(243,1),(244,1),(282,1),(284,1),(306,1),(312,1)}
       215:{1,3,5}:{(180,1),(181,1),(183,1),(244,1)}
       216:{1,3,6}:{(182,1),(185,1),(239,1),(243,1),(245,1)}
       217:{2,4,6}:{(183,1),(184,1),(186,1),(244,1),(245,1),(246,1),(284,1)}
       218:{1,6}:{(184,1),(187,1)}
       219:{2,3,7}:{(185,1),(186,1),(245,1),(247,1),(290,1)}
       220:{1,4,7}:{(186,1),(187,1),(246,1),(247,1)}
       221:{1,5,6}:{(188,1),(190,1),(248,1)}
       222:{2,4,6}:{(188,1),(189,1),(191,1),(248,1),(249,1),(287,1)}
       223:{1,4,5,7}:{(190,1),(191,1),(193,1),(232,1),(248,1),(250,1)}
       224:{3,5,7}:{(191,1),(194,1),(233,1),(249,1)}
       225:{1,2,4,7}:{(192,1),(193,1),(195,1),(234,1),(251,1),(252,1),(254,1),(290,1)}
       226:{1,3,4,7}:{(193,1),(194,1),(235,1),(250,1),(251,1),(252,1)}
       227:{3,7}:{(195,1),(239,1)}
       228:{2,4,7}:{(196,1),(197,1),(240,1),(253,1),(254,1),(290,1)}
       229:{1,5,7}:{(197,1),(198,1),(241,1),(254,1)}
       230:{1,3,6}:{(199,1),(200,1),(206,1),(255,1),(311,1)}
       231:{1,2,5}:{(200,1),(201,1),(207,1),(255,1),(267,1)}
       232:{1,4,5}:{(201,1),(202,1),(204,1),(257,1)}
       233:{3,5}:{(202,1),(205,1)}
       234:{1,2,4,6}:{(203,1),(204,1),(210,1),(225,1),(256,1),(258,1),(259,1),(264,1),(297,1)}
       235:{1,3,4,6}:{(204,1),(205,1),(226,1),(257,1),(258,1),(259,1),(270,1),(291,1)}
       236:{2,3,5}:{(206,1),(207,1),(213,1),(255,1),(260,1),(261,1)}
       237:{2,4,5}:{(207,1),(208,1),(210,1),(260,1),(261,1)}
       238:{1,3,4,5}:{(208,1),(209,1),(211,1),(215,1),(257,1),(261,1),(262,1),(265,1),(291,1),(296,1)}
       239:{3,6}:{(210,1),(227,1),(261,1)}
       240:{2,4,6}:{(211,1),(212,1),(228,1),(262,1),(263,1),(264,1),(297,1)}
       241:{1,5,6}:{(212,1),(218,1),(229,1),(264,1),(267,1),(293,1),(300,1)}
       242:{1,4}:{(213,1),(260,1)}
       243:{1,3,5}:{(214,1),(216,1),(261,1),(265,1),(266,1),(314,1)}
       244:{2,5}:{(215,1),(217,1),(267,1)}
       245:{2,3,6}:{(216,1),(217,1),(219,1),(266,1),(268,1),(297,1)}
       246:{1,4,6}:{(217,1),(218,1),(220,1),(267,1),(268,1),(298,1)}
       247:{1,3,7}:{(219,1),(220,1),(268,1),(269,1)}
       248:{1,4,6}:{(221,1),(222,1),(223,1),(270,1)}
       249:{3,6}:{(222,1),(224,1)}
       250:{1,3,5,7}:{(223,1),(224,1),(226,1),(257,1),(270,1),(271,1)}
       251:{1,3,7}:{(225,1),(227,1),(258,1),(272,1)}
       252:{2,4,7}:{(226,1),(259,1),(271,1),(272,1),(273,1)}
       253:{2,3,7}:{(227,1),(228,1),(263,1),(274,1)}
       254:{1,4,7}:{(228,1),(229,1),(264,1),(274,1)}
       255:{1,3,5}:{(230,1),(231,1),(236,1),(275,1)}
       256:{1,2,4,5}:{(231,1),(232,1),(234,1),(237,1),(275,1),(276,1),(277,1),(282,1),(302,1),(306,1),(307,1)}
       257:{1,3,5}:{(232,1),(233,1),(235,1),(277,1)}
       258:{1,3,6}:{(234,1),(239,1),(251,1),(276,1),(278,1)}
       259:{2,4,6}:{(235,1),(252,1),(277,1),(278,1),(279,1),(287,1),(302,1)}
       260:{2,4}:{(236,1),(242,1),(275,1),(280,1)}
       261:{3,5}:{(237,1),(239,1),(280,1)}
       262:{2,4,5}:{(238,1),(240,1),(244,1),(277,1),(281,1),(282,1),(284,1),(302,1),(306,1)}
       263:{2,3,6}:{(239,1),(240,1),(253,1),(281,1),(283,1)}
       264:{1,4,6}:{(240,1),(241,1),(254,1),(282,1),(283,1)}
       265:{1,3,4}:{(242,1),(243,1),(280,1),(284,1)}
       266:{2,3,5}:{(243,1),(244,1),(245,1),(284,1),(285,1),(306,1),(313,1)}
       267:{1,5}:{(244,1),(246,1)}
       268:{1,3,6}:{(245,1),(246,1),(247,1),(285,1),(286,1)}
       269:{1,2,7}:{(247,1),(286,1),(290,1)}
       270:{1,3,6}:{(248,1),(249,1),(250,1),(287,1)}
       271:{2,5,7}:{(250,1),(252,1),(277,1),(287,1),(288,1)}
       272:{2,3,7}:{(251,1),(252,1),(278,1),(289,1),(290,1)}
       273:{1,4,7}:{(252,1),(279,1),(288,1),(289,1)}
       274:{1,3,7}:{(253,1),(254,1),(283,1),(290,1)}
       275:{1,4}:{(255,1),(260,1)}
       276:{1,3,5}:{(256,1),(258,1),(261,1),(291,1),(292,1),(311,1)}
       277:{2,5}:{(257,1),(259,1),(293,1)}
       278:{2,3,6}:{(258,1),(259,1),(272,1),(292,1),(294,1),(297,1)}
       279:{1,4,6}:{(259,1),(273,1),(293,1),(294,1),(300,1),(308,1)}
       280:{3,4}:{(260,1),(261,1)}
       281:{2,3,5}:{(261,1),(262,1),(263,1),(295,1),(296,1)}
       282:{1,4,5}:{(262,1),(264,1),(267,1),(293,1),(296,1),(298,1),(308,1)}
       283:{1,3,6}:{(263,1),(264,1),(274,1),(296,1),(297,1)}
       284:{2,4}:{(265,1),(266,1),(298,1)}
       285:{1,3,5}:{(266,1),(267,1),(268,1),(298,1),(299,1),(311,1)}
       286:{1,2,6}:{(268,1),(269,1),(297,1),(299,1)}
       287:{2,6}:{(270,1),(271,1),(300,1)}
       288:{1,5,7}:{(271,1),(273,1),(293,1),(300,1)}
       289:{1,3,7}:{(272,1),(273,1),(294,1),(301,1)}
       290:{2,7}:{(274,1),(297,1)}
       291:{1,3,4}:{(275,1),(276,1),(280,1),(302,1)}
       292:{2,3,5}:{(276,1),(277,1),(278,1),(302,1),(303,1),(306,1),(313,1)}
       293:{1,5}:{(277,1),(279,1)}
       294:{1,3,6}:{(278,1),(279,1),(289,1),(303,1),(304,1)}
       295:{2,3,4}:{(280,1),(281,1),(284,1),(302,1),(305,1),(313,1)}
       296:{1,3,5}:{(281,1),(282,1),(283,1),(305,1),(306,1)}
       297:{2,6}:{(283,1),(290,1),(306,1)}
       298:{1,4}:{(284,1),(285,1)}
       299:{1,2,5}:{(285,1),(286,1),(306,1),(307,1)}
       300:{1,6}:{(287,1),(288,1)}
       301:{1,2,7}:{(289,1),(290,1),(304,1)}
       302:{2,4}:{(291,1),(292,1),(308,1)}
       303:{1,3,5}:{(292,1),(293,1),(294,1),(308,1),(309,1),(314,1)}
       304:{1,2,6}:{(294,1),(297,1),(301,1),(309,1)}
       305:{1,3,4}:{(295,1),(296,1),(298,1),(308,1),(310,1),(311,1),(314,1)}
       306:{2,5}:{(296,1),(297,1),(310,1)}
       307:{1,2,4}:{(298,1),(299,1),(310,1),(311,1)}
       308:{1,4}:{(302,1),(303,1)}
       309:{1,2,5}:{(303,1),(304,1),(306,1),(312,1)}
       310:{2,4}:{(305,1),(306,1),(313,1)}
       311:{1,3}:{(307,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

2142 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(36,1),(38,1),(40,1),(76,1),(166,1),(203,1),(280,1),(282,1),(386,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(62,1),(261,1),(336,1),(433,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(116,1),(432,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(38,1),(165,1),(280,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(38,1),(99,1),(166,1),(304,1),(320,1),(387,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(87,1),(473,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(27,1),(282,1),(385,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(51,1),(61,1),(117,1),(228,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(336,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(132,1),(223,1),(359,1),(454,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(50,1),(63,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(51,1),(73,1),(131,1),(133,1),(152,1),(225,1),(339,1),(344,1),(432,1)}
        13:{1,3,4,5}:{(9,1),(27,1),(29,1),(385,1),(392,1)}
        14:{1,2,3,6}:{(26,1),(30,1),(31,1),(179,1)}
        15:{1,3,4,6}:{(7,1),(31,1),(32,1),(33,1),(80,1),(85,1),(95,1),(179,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(32,1),(35,1),(87,1),(287,1)}
        17:{2,3,5}:{(7,1),(9,1),(27,1),(33,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(100,1),(278,1),(305,1),(387,1),(410,1),(412,1),(473,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(35,1),(38,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(29,1),(36,1),(38,1),(39,1),(280,1),(395,1)}
        21:{1,2,5,7}:{(10,1),(37,1),(40,1),(187,1),(282,1)}
        22:{1,2,4,6}:{(11,1),(38,1),(40,1),(86,1),(100,1)}
        23:{1,2,4,5,7}:{(12,1),(39,1),(41,1),(87,1),(112,1),(187,1),(188,1),(208,1),(284,1),(391,1),(396,1),(473,1)}
        24:{1,2,3,5,6}:{(26,1),(42,1),(43,1),(81,1),(93,1),(108,1),(179,1),(181,1),(207,1),(214,1),(216,1),(295,1)}
        25:{1,3,4,5,6}:{(29,1),(44,1),(45,1),(88,1),(105,1),(212,1),(290,1),(292,1),(329,1),(395,1)}
        26:{1,2,3,5}:{(14,1),(48,1),(56,1),(124,1)}
        27:{2,4,5}:{(13,1),(17,1),(49,1),(51,1)}
        28:{1,3,4,5,7}:{(13,1),(19,1),(50,1),(52,1),(53,1),(63,1),(134,1),(142,1)}
        29:{1,3,4,6}:{(13,1),(20,1),(51,1),(53,1),(432,1),(440,1)}
        30:{1,2,3,7}:{(14,1),(55,1),(237,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(48,1),(55,1),(56,1),(137,1)}
        32:{1,3,4,7}:{(15,1),(16,1),(55,1),(58,1),(130,1),(237,1)}
        33:{1,3,5}:{(15,1),(17,1),(49,1),(56,1)}
        34:{2,3,4,6,7}:{(16,1),(18,1),(57,1),(60,1),(61,1),(132,1),(143,1),(226,1),(246,1),(253,1),(343,1),(361,1),(364,1),(441,1)}
        35:{2,3,5,7}:{(16,1),(17,1),(19,1),(50,1),(58,1),(61,1)}
        36:{2,3,5,6}:{(17,1),(20,1),(51,1),(59,1),(61,1),(62,1),(131,1),(152,1),(228,1)}
        37:{1,3,5,7}:{(18,1),(21,1),(60,1),(63,1),(64,1),(334,1),(453,1)}
        38:{1,3,6}:{(19,1),(22,1),(61,1)}
        39:{1,3,5,7}:{(20,1),(23,1),(53,1),(62,1),(65,1),(336,1),(443,1)}
        40:{1,2,5,6}:{(21,1),(22,1),(64,1),(131,1),(454,1)}
        41:{1,2,4,6,7}:{(22,1),(23,1),(65,1),(66,1),(132,1),(145,1),(162,1),(267,1),(379,1)}
        42:{1,2,3,5,7}:{(24,1),(70,1),(71,1),(138,1),(157,1),(159,1),(237,1),(266,1),(351,1)}
        43:{1,2,4,6}:{(24,1),(48,1),(69,1),(71,1),(72,1),(263,1),(350,1)}
        44:{2,4,5,6}:{(25,1),(51,1),(68,1),(73,1),(74,1),(131,1),(152,1),(263,1),(374,1)}
        45:{1,3,4,5,7}:{(25,1),(53,1),(74,1),(75,1),(134,1),(153,1),(271,1),(347,1),(348,1),(382,1),(443,1)}
        46:{2,3,4,5}:{(27,1),(77,1),(79,1),(170,1),(204,1),(392,1)}
        47:{1,2,3,5,7}:{(26,1),(30,1),(81,1),(82,1),(92,1),(178,1),(181,1),(418,1),(470,1),(496,1)}
        48:{1,2,4}:{(26,1),(80,1)}
        49:{1,4,5}:{(27,1),(33,1),(85,1)}
        50:{2,4,5,7}:{(27,1),(28,1),(35,1),(84,1),(86,1),(87,1),(187,1)}
        51:{2,4,6}:{(27,1),(29,1),(36,1),(85,1),(87,1)}
        52:{1,3,4,6}:{(28,1),(38,1),(86,1),(88,1),(100,1),(196,1)}
        53:{1,3,4,7}:{(29,1),(39,1),(87,1),(473,1),(480,1)}
        54:{1,2,3,6,7}:{(30,1),(81,1),(90,1),(91,1),(296,1),(307,1),(411,1),(540,1)}
        55:{1,2,4,7}:{(30,1),(31,1),(32,1),(92,1)}
        56:{1,2,5}:{(31,1),(33,1)}
        57:{1,3,4,6,7}:{(32,1),(34,1),(91,1),(94,1),(95,1),(177,1),(185,1),(189,1),(194,1),(296,1),(307,1),(402,1)}
        58:{1,3,5,7}:{(32,1),(33,1),(35,1),(84,1),(92,1),(95,1)}
        59:{1,3,5,6}:{(33,1),(36,1),(85,1),(93,1),(95,1),(96,1),(179,1),(184,1)}
        60:{2,3,5,7}:{(34,1),(37,1),(94,1),(97,1),(98,1),(187,1),(285,1),(303,1),(408,1)}
        61:{2,3,6}:{(35,1),(38,1),(86,1),(95,1)}
        62:{2,3,5,7}:{(36,1),(39,1),(87,1),(96,1),(99,1),(187,1),(208,1),(287,1)}
        63:{1,4,5,7}:{(37,1),(97,1),(100,1),(385,1),(473,1)}
        64:{1,3,5,6}:{(37,1),(38,1),(40,1),(98,1),(100,1),(407,1),(410,1)}
        65:{1,3,6,7}:{(38,1),(39,1),(41,1),(99,1),(427,1)}
        66:{1,2,5,6,7}:{(40,1),(41,1),(101,1),(187,1),(218,1),(326,1),(391,1),(490,1)}
        67:{1,2,3,6}:{(76,1),(102,1),(103,1),(280,1)}
        68:{2,3,5,6}:{(44,1),(79,1),(105,1),(106,1),(395,1)}
        69:{1,3,4,6}:{(43,1),(80,1),(104,1),(107,1),(108,1),(179,1),(214,1)}
        70:{1,2,3,6,7}:{(42,1),(81,1),(109,1),(192,1),(214,1),(296,1),(325,1),(418,1)}
        71:{1,2,4,7}:{(42,1),(43,1),(107,1),(322,1),(402,1)}
        72:{1,2,4,5}:{(43,1),(108,1),(181,1),(204,1),(294,1)}
        73:{1,4,5,6}:{(44,1),(85,1),(105,1),(112,1),(184,1),(313,1),(413,1)}
        74:{2,4,5,7}:{(44,1),(45,1),(87,1),(106,1),(112,1),(113,1),(187,1),(208,1),(322,1),(424,1)}
        75:{1,3,4,6,7}:{(45,1),(113,1),(114,1),(209,1),(327,1),(328,1),(427,1)}
        76:{1,2,3,5}:{(67,1),(116,1),(149,1),(221,1)}
        77:{1,3,4,5}:{(46,1),(49,1),(118,1),(120,1),(124,1),(221,1),(254,1)}
        78:{2,3,4,5,7}:{(46,1),(50,1),(119,1),(121,1),(122,1),(142,1),(227,1),(234,1),(250,1),(262,1),(341,1),(376,1),(439,1),(441,1),(458,1),(511,1)}
        79:{2,3,4,6}:{(46,1),(51,1),(68,1),(120,1),(122,1),(228,1),(263,1),(440,1)}
        80:{1,3,4}:{(48,1),(117,1),(124,1)}
        81:{1,2,3,6}:{(47,1),(126,1),(137,1),(236,1),(522,1)}
        82:{1,2,4,7}:{(47,1),(48,1),(123,1),(126,1),(501,1)}
        83:{1,2,4,5}:{(48,1),(49,1),(56,1),(118,1),(124,1),(128,1)}
        84:{1,4,5,7}:{(49,1),(50,1),(58,1),(129,1),(130,1),(243,1)}
        85:{1,4,6}:{(49,1),(51,1),(59,1),(130,1)}
        86:{2,4,6}:{(50,1),(52,1),(61,1),(129,1),(131,1)}
        87:{2,4,7}:{(51,1),(53,1),(62,1),(130,1)}
        88:{1,3,5,6}:{(52,1),(131,1),(133,1),(134,1),(244,1)}
        89:{1,3,4,6,7}:{(52,1),(53,1),(65,1),(132,1),(134,1),(145,1),(253,1)}
        90:{1,2,3,5,7}:{(54,1),(125,1),(135,1),(136,1),(247,1),(351,1),(452,1),(544,1),(552,1)}
        91:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(126,1),(135,1),(136,1),(137,1),(248,1),(364,1)}
        92:{1,2,5,7}:{(55,1),(56,1),(58,1),(137,1)}
        93:{1,2,5,6}:{(56,1),(59,1),(128,1),(137,1),(138,1),(152,1)}
        94:{1,3,5,7}:{(57,1),(60,1),(136,1),(139,1),(140,1),(235,1),(243,1)}
        95:{1,3,6}:{(58,1),(61,1),(129,1),(137,1)}
        96:{1,3,5,7}:{(59,1),(62,1),(130,1),(138,1),(141,1),(237,1),(243,1)}
        97:{2,4,5,7}:{(60,1),(63,1),(139,1),(142,1),(143,1),(341,1),(441,1)}
        98:{2,3,5,6}:{(60,1),(61,1),(64,1),(131,1),(140,1),(143,1),(244,1),(357,1),(361,1)}
        99:{2,3,6,7}:{(61,1),(62,1),(65,1),(132,1),(141,1),(267,1)}
       100:{1,4,6}:{(63,1),(64,1),(143,1)}
       101:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(134,1),(144,1),(145,1),(433,1),(453,1),(455,1)}
       102:{1,2,3,7}:{(67,1),(148,1),(336,1)}
       103:{1,2,4,6}:{(67,1),(116,1),(146,1),(148,1),(149,1),(260,1)}
       104:{2,3,4,6}:{(69,1),(117,1),(146,1),(150,1),(151,1),(228,1),(263,1),(265,1)}
       105:{1,3,5,6}:{(68,1),(73,1),(120,1),(152,1),(153,1)}
       106:{2,3,5,7}:{(68,1),(74,1),(122,1),(153,1),(154,1),(443,1)}
       107:{1,3,4,7}:{(69,1),(71,1),(150,1),(157,1),(237,1)}
       108:{1,3,5}:{(69,1),(72,1),(151,1)}
       109:{1,2,4,6,7}:{(70,1),(71,1),(126,1),(156,1),(159,1),(160,1),(375,1),(461,1),(522,1)}
       110:{1,2,4,5,7}:{(71,1),(72,1),(157,1),(159,1),(160,1),(262,1),(272,1)}
       111:{1,2,4,5,6}:{(72,1),(73,1),(128,1),(152,1),(158,1),(160,1),(161,1),(240,1),(263,1),(344,1),(350,1),(374,1),(381,1)}
       112:{1,4,5,7}:{(73,1),(74,1),(130,1),(153,1),(162,1),(243,1),(366,1),(457,1)}
       113:{2,4,6,7}:{(74,1),(75,1),(154,1),(162,1),(163,1),(267,1)}
       114:{1,3,5,6,7}:{(75,1),(134,1),(163,1),(164,1),(277,1),(382,1)}
       115:{1,2,3,5,7}:{(76,1),(102,1),(166,1),(167,1),(202,1),(279,1),(282,1),(304,1),(399,1),(409,1)}
       116:{1,2,4}:{(76,1),(165,1)}
       117:{2,3,4}:{(80,1),(165,1),(170,1)}
       118:{2,4,5}:{(77,1),(170,1),(172,1)}
       119:{1,3,4,5,7}:{(77,1),(78,1),(84,1),(171,1),(173,1),(174,1),(178,1),(279,1),(291,1),(294,1),(309,1),(312,1),(385,1),(392,1),(402,1),(473,1),(478,1),(480,1),(493,1),(533,1)}
       120:{1,3,4,6}:{(77,1),(79,1),(85,1),(105,1),(172,1),(174,1),(179,1),(280,1),(313,1)}
       121:{2,3,4,6}:{(78,1),(86,1),(173,1),(175,1),(196,1),(286,1),(310,1),(321,1),(393,1),(425,1),(494,1)}
       122:{2,3,4,7}:{(79,1),(87,1),(106,1),(174,1),(287,1),(322,1),(480,1)}
       123:{1,3,4,7}:{(80,1),(82,1),(169,1),(177,1),(178,1),(402,1),(525,1)}
       124:{1,3,5}:{(80,1),(83,1),(170,1),(179,1)}
       125:{1,2,3,5,6}:{(81,1),(90,1),(180,1),(181,1),(191,1),(295,1),(298,1),(307,1),(405,1),(470,1),(529,1),(549,1)}
       126:{1,2,4,6}:{(81,1),(82,1),(177,1),(181,1)}
       127:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(92,1),(171,1),(178,1),(181,1),(182,1),(183,1),(294,1),(300,1),(402,1),(493,1),(496,1),(526,1),(550,1)}
       128:{1,2,4,6}:{(83,1),(85,1),(93,1),(172,1),(179,1),(183,1)}
       129:{1,4,6}:{(84,1),(86,1),(95,1),(184,1)}
       130:{1,4,7}:{(85,1),(87,1),(96,1)}
       131:{2,5,6}:{(86,1),(88,1),(184,1),(187,1)}
       132:{2,4,6,7}:{(86,1),(87,1),(89,1),(99,1),(185,1),(187,1)}
       133:{1,4,5,6}:{(88,1),(100,1),(186,1),(188,1),(407,1)}
       134:{1,3,5,7}:{(88,1),(89,1),(187,1),(188,1),(303,1)}
       135:{1,2,4,7}:{(90,1),(180,1),(189,1),(402,1),(487,1)}
       136:{1,2,5,7}:{(91,1),(94,1),(181,1),(191,1),(408,1)}
       137:{1,2,6}:{(92,1),(95,1)}
       138:{1,2,5,7}:{(93,1),(96,1),(183,1),(192,1),(208,1)}
       139:{1,4,5,7}:{(94,1),(97,1),(194,1),(294,1),(402,1)}
       140:{1,3,5,6}:{(94,1),(95,1),(98,1),(184,1),(191,1),(194,1),(307,1)}
       141:{1,3,6,7}:{(95,1),(96,1),(99,1),(185,1),(192,1)}
       142:{3,4,5,7}:{(97,1),(196,1),(303,1),(392,1),(480,1)}
       143:{2,4,6}:{(97,1),(98,1),(100,1),(194,1),(196,1)}
       144:{2,3,5,6,7}:{(98,1),(99,1),(101,1),(187,1),(195,1),(197,1),(303,1),(326,1),(394,1),(408,1),(411,1),(427,1)}
       145:{1,4,6,7}:{(100,1),(101,1),(188,1),(197,1),(473,1)}
       146:{1,3,4,6}:{(103,1),(104,1),(165,1),(198,1),(199,1),(280,1),(313,1),(315,1)}
       147:{1,2,3,6,7}:{(102,1),(166,1),(200,1),(201,1),(387,1),(421,1),(490,1),(498,1)}
       148:{1,2,4,7}:{(102,1),(103,1),(198,1),(202,1)}
       149:{1,2,5}:{(103,1),(199,1)}
       150:{2,3,4,7}:{(104,1),(107,1),(198,1),(206,1),(287,1),(322,1)}
       151:{2,3,5}:{(104,1),(108,1),(199,1),(204,1)}
       152:{2,5,6}:{(105,1),(172,1),(208,1)}
       153:{1,3,5,7}:{(105,1),(106,1),(112,1),(174,1),(208,1),(209,1)}
       154:{2,3,6,7}:{(106,1),(113,1),(209,1),(427,1)}
       155:{1,3,4,5}:{(108,1),(204,1),(212,1),(294,1),(392,1)}
       156:{1,3,4,6,7}:{(107,1),(109,1),(177,1),(205,1),(213,1),(214,1),(296,1),(331,1),(402,1),(419,1),(497,1),(539,1)}
       157:{1,3,5,7}:{(107,1),(108,1),(110,1),(206,1),(214,1)}
       158:{1,3,5,6}:{(108,1),(111,1),(179,1),(207,1),(212,1),(214,1),(215,1),(395,1)}
       159:{1,2,5,7}:{(109,1),(181,1),(213,1),(216,1),(424,1)}
       160:{1,2,4,6}:{(110,1),(214,1),(216,1),(321,1),(331,1)}
       161:{1,2,4,5,7}:{(111,1),(112,1),(183,1),(208,1),(215,1),(217,1),(300,1),(322,1),(396,1),(402,1),(424,1),(429,1)}
       162:{1,4,6,7}:{(112,1),(113,1),(209,1),(218,1)}
       163:{2,5,6,7}:{(113,1),(114,1),(187,1),(218,1),(424,1)}
       164:{1,4,5,6,7}:{(114,1),(188,1),(219,1),(327,1),(429,1),(430,1)}
       165:{1,3,4}:{(116,1),(117,1),(221,1)}
       166:{1,2,3,6}:{(115,1),(223,1),(260,1),(335,1),(454,1)}
       167:{1,2,4,7}:{(115,1),(116,1),(220,1),(223,1),(446,1)}
       168:{1,2,4,5}:{(116,1),(118,1),(149,1),(221,1),(225,1),(254,1)}
       169:{2,3,4,7}:{(117,1),(123,1),(220,1),(226,1),(227,1),(441,1),(508,1)}
       170:{2,3,5}:{(117,1),(118,1),(124,1),(221,1),(228,1)}
       171:{2,4,5,7}:{(118,1),(119,1),(227,1),(229,1),(230,1),(341,1),(345,1),(441,1),(509,1),(546,1)}
       172:{2,4,6}:{(118,1),(120,1),(152,1),(228,1),(230,1)}
       173:{1,3,4,6}:{(119,1),(121,1),(129,1),(229,1),(231,1),(236,1),(335,1),(350,1),(363,1),(365,1),(432,1),(440,1),(520,1)}
       174:{1,3,4,7}:{(120,1),(122,1),(130,1),(153,1),(230,1),(237,1),(336,1),(366,1)}
       175:{2,3,5,6}:{(121,1),(131,1),(231,1),(233,1),(234,1),(244,1),(357,1),(374,1),(465,1),(518,1)}
       176:{2,3,4,6,7}:{(121,1),(122,1),(132,1),(154,1),(232,1),(234,1),(253,1),(269,1),(343,1),(364,1),(375,1),(441,1),(467,1),(468,1),(511,1),(521,1)}
       177:{1,3,4,6}:{(123,1),(126,1),(226,1),(235,1),(236,1),(350,1)}
       178:{1,3,5,7}:{(123,1),(124,1),(127,1),(227,1),(235,1),(236,1),(237,1),(541,1),(552,1)}
       179:{1,3,6}:{(124,1),(128,1),(228,1),(237,1)}
       180:{1,2,4,6}:{(125,1),(135,1),(238,1),(239,1),(350,1),(448,1),(501,1)}
       181:{1,2,5}:{(126,1),(235,1)}
       182:{1,2,4,6}:{(127,1),(129,1),(137,1),(229,1),(236,1),(240,1),(350,1),(520,1),(522,1)}
       183:{1,2,4,7}:{(128,1),(130,1),(138,1),(230,1),(237,1)}
       184:{1,5,6}:{(129,1),(131,1),(243,1)}
       185:{1,4,6,7}:{(129,1),(130,1),(132,1),(141,1),(243,1)}
       186:{2,4,5,6}:{(131,1),(133,1),(143,1),(242,1),(244,1),(245,1),(357,1)}
       187:{2,5,7}:{(131,1),(132,1),(134,1),(243,1)}
       188:{1,4,5,7}:{(133,1),(134,1),(145,1),(245,1),(453,1)}
       189:{1,3,4,7}:{(135,1),(238,1),(246,1),(247,1),(552,1)}
       190:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(239,1),(247,1),(248,1),(250,1)}
       191:{1,2,5,6}:{(136,1),(137,1),(140,1),(248,1),(357,1)}
       192:{1,2,6,7}:{(137,1),(138,1),(141,1),(267,1)}
       193:{1,3,4,5,7}:{(139,1),(142,1),(247,1),(250,1),(251,1),(349,1),(358,1),(449,1)}
       194:{1,4,6}:{(139,1),(140,1),(143,1)}
       195:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(243,1),(249,1),(252,1),(351,1),(358,1),(362,1)}
       196:{3,4,6}:{(142,1),(143,1),(244,1)}
       197:{2,4,6,7}:{(143,1),(144,1),(145,1),(245,1),(252,1),(253,1),(441,1)}
       198:{1,3,4,7}:{(146,1),(148,1),(150,1),(256,1),(336,1),(366,1)}
       199:{1,3,5}:{(146,1),(149,1),(151,1),(254,1)}
       200:{1,2,3,5,7}:{(147,1),(222,1),(258,1),(259,1),(371,1),(433,1),(507,1),(517,1),(547,1)}
       201:{1,2,4,6,7}:{(147,1),(148,1),(223,1),(255,1),(258,1),(259,1),(260,1),(372,1),(521,1)}
       202:{1,2,5,7}:{(148,1),(149,1),(256,1),(260,1)}
       203:{1,2,5,6}:{(149,1),(152,1),(225,1),(257,1),(260,1),(261,1)}
       204:{2,4,5}:{(151,1),(155,1),(254,1),(263,1)}
       205:{2,3,4,6,7}:{(150,1),(156,1),(226,1),(255,1),(264,1),(265,1),(343,1),(370,1),(375,1),(377,1),(441,1),(463,1),(467,1),(521,1)}
       206:{2,3,5,7}:{(150,1),(151,1),(157,1),(256,1),(262,1),(265,1)}
       207:{2,3,5,6}:{(151,1),(152,1),(158,1),(228,1),(257,1),(263,1),(265,1),(266,1),(374,1)}
       208:{2,5,7}:{(152,1),(153,1),(230,1),(267,1)}
       209:{1,3,6,7}:{(153,1),(154,1),(162,1),(267,1)}
       210:{2,3,5,6,7}:{(154,1),(163,1),(234,1),(268,1),(269,1),(277,1),(384,1),(468,1)}
       211:{1,3,4,5,7}:{(155,1),(157,1),(262,1),(270,1),(271,1),(272,1),(376,1),(382,1)}
       212:{1,3,4,6}:{(155,1),(158,1),(263,1),(271,1),(350,1),(440,1)}
       213:{1,3,5,7}:{(156,1),(159,1),(235,1),(264,1),(272,1),(273,1),(548,1)}
       214:{1,3,6}:{(157,1),(160,1),(265,1)}
       215:{1,3,5,7}:{(158,1),(161,1),(237,1),(266,1),(271,1),(274,1),(443,1)}
       216:{1,2,5,6}:{(159,1),(160,1),(273,1),(374,1),(522,1)}
       217:{1,2,4,6,7}:{(160,1),(161,1),(162,1),(267,1),(274,1),(275,1),(375,1),(379,1),(383,1)}
       218:{1,5,6,7}:{(162,1),(163,1),(243,1),(457,1)}
       219:{2,4,5,6,7}:{(163,1),(164,1),(245,1),(269,1),(276,1),(277,1),(379,1),(384,1),(466,1)}
       220:{1,3,4,7}:{(165,1),(167,1),(169,1),(278,1),(279,1),(473,1),(484,1)}
       221:{1,3,5}:{(165,1),(168,1),(170,1),(280,1)}
       222:{1,2,3,5,6}:{(166,1),(200,1),(281,1),(282,1),(319,1),(386,1),(389,1),(399,1),(421,1),(476,1),(488,1),(535,1)}
       223:{1,2,4,6}:{(166,1),(167,1),(278,1),(282,1)}
       224:{1,2,4,5,7}:{(167,1),(168,1),(171,1),(202,1),(279,1),(282,1),(283,1),(284,1),(309,1),(312,1),(385,1),(391,1),(409,1),(473,1),(485,1),(536,1)}
       225:{1,2,4,6}:{(168,1),(172,1),(203,1),(280,1),(284,1),(313,1)}
       226:{2,3,4,6}:{(169,1),(177,1),(278,1),(285,1),(286,1),(393,1)}
       227:{2,3,5,7}:{(169,1),(170,1),(171,1),(178,1),(279,1),(285,1),(286,1),(287,1),(531,1),(551,1)}
       228:{2,3,6}:{(170,1),(172,1),(179,1),(280,1),(287,1)}
       229:{2,4,6}:{(171,1),(173,1),(286,1),(288,1)}
       230:{2,4,7}:{(172,1),(174,1),(208,1),(287,1)}
       231:{1,3,5,6}:{(173,1),(175,1),(184,1),(288,1),(290,1),(291,1),(395,1),(407,1),(413,1),(537,1)}
       232:{1,3,4,6,7}:{(173,1),(174,1),(176,1),(185,1),(209,1),(289,1),(291,1),(296,1),(327,1),(387,1),(402,1),(412,1),(414,1),(427,1),(473,1),(480,1),(500,1),(533,1),(539,1)}
       233:{2,4,5,6}:{(175,1),(290,1),(292,1),(293,1),(393,1)}
       234:{2,3,5,7}:{(175,1),(176,1),(187,1),(291,1),(293,1),(303,1),(408,1),(424,1),(499,1),(538,1)}
       235:{1,3,5}:{(177,1),(181,1),(285,1),(294,1)}
       236:{1,3,6}:{(178,1),(182,1),(286,1)}
       237:{1,3,7}:{(179,1),(183,1),(287,1)}
       238:{1,3,4,6}:{(180,1),(189,1),(297,1),(298,1),(307,1),(525,1),(549,1)}
       239:{1,2,4,5}:{(180,1),(181,1),(294,1),(298,1),(400,1)}
       240:{1,2,5,6}:{(181,1),(182,1),(184,1),(288,1),(295,1),(300,1),(537,1)}
       241:{1,2,4,6,7}:{(182,1),(183,1),(185,1),(192,1),(289,1),(296,1),(300,1),(402,1),(539,1),(540,1),(550,1)}
       242:{1,4,5,6}:{(184,1),(186,1),(194,1),(301,1),(302,1)}
       243:{1,5,7}:{(184,1),(185,1),(187,1)}
       244:{3,5,6}:{(186,1),(196,1),(303,1)}
       245:{2,4,5,7}:{(186,1),(187,1),(188,1),(197,1),(302,1),(303,1),(408,1)}
       246:{2,3,4,7}:{(189,1),(297,1),(305,1),(306,1),(487,1),(551,1)}
       247:{1,3,5,7}:{(189,1),(190,1),(298,1),(306,1),(307,1)}
       248:{1,2,4,6}:{(190,1),(191,1),(194,1),(307,1),(310,1)}
       249:{1,2,5,6,7}:{(191,1),(192,1),(195,1),(300,1),(308,1),(326,1),(408,1),(430,1)}
       250:{2,4,5,7}:{(193,1),(306,1),(309,1),(310,1),(400,1),(408,1),(487,1)}
       251:{1,3,4,6}:{(193,1),(194,1),(196,1),(301,1),(307,1),(310,1)}
       252:{1,4,6,7}:{(194,1),(195,1),(197,1),(302,1),(402,1)}
       253:{3,4,6,7}:{(196,1),(197,1),(303,1),(427,1),(480,1)}
       254:{1,4,5}:{(199,1),(204,1),(313,1)}
       255:{1,3,4,6,7}:{(198,1),(201,1),(205,1),(278,1),(314,1),(315,1),(317,1),(387,1),(414,1),(416,1),(421,1),(473,1)}
       256:{1,3,5,7}:{(198,1),(199,1),(202,1),(206,1),(312,1),(315,1)}
       257:{1,3,5,6}:{(199,1),(203,1),(207,1),(280,1),(313,1),(315,1),(316,1),(413,1)}
       258:{1,2,4,7}:{(200,1),(281,1),(317,1),(473,1),(528,1)}
       259:{1,2,5,7}:{(201,1),(282,1),(314,1),(319,1),(538,1)}
       260:{1,2,6}:{(202,1),(315,1)}
       261:{1,2,5,7}:{(203,1),(208,1),(284,1),(316,1),(320,1)}
       262:{2,4,5,7}:{(204,1),(206,1),(211,1),(312,1),(321,1),(322,1),(424,1)}
       263:{2,4,6}:{(204,1),(207,1),(212,1),(313,1),(322,1)}
       264:{2,3,5,7}:{(205,1),(213,1),(285,1),(314,1),(323,1),(324,1),(424,1),(499,1),(538,1)}
       265:{2,3,6}:{(206,1),(214,1),(315,1),(321,1)}
       266:{2,3,5,7}:{(207,1),(208,1),(215,1),(287,1),(316,1),(322,1),(325,1),(424,1)}
       267:{2,6,7}:{(208,1),(209,1)}
       268:{1,3,5,6,7}:{(209,1),(210,1),(218,1),(291,1),(326,1),(327,1),(427,1),(430,1),(500,1)}
       269:{2,4,6,7}:{(210,1),(293,1),(327,1),(328,1)}
       270:{1,3,4,6}:{(211,1),(214,1),(321,1),(329,1),(331,1),(425,1)}
       271:{1,3,4,7}:{(212,1),(215,1),(322,1),(402,1),(480,1)}
       272:{1,4,5,7}:{(213,1),(294,1),(323,1),(331,1),(402,1)}
       273:{1,3,5,6}:{(213,1),(214,1),(216,1),(324,1),(331,1),(497,1),(537,1)}
       274:{1,3,6,7}:{(214,1),(215,1),(217,1),(325,1),(427,1)}
       275:{1,2,5,6,7}:{(216,1),(217,1),(218,1),(300,1),(326,1),(332,1),(424,1),(540,1)}
       276:{1,4,5,6,7}:{(218,1),(219,1),(302,1),(327,1),(333,1),(492,1)}
       277:{3,5,6,7}:{(219,1),(303,1),(328,1),(427,1),(499,1)}
       278:{1,3,4,6}:{(220,1),(223,1),(226,1),(334,1),(335,1),(432,1)}
       279:{1,3,5,7}:{(220,1),(221,1),(224,1),(227,1),(334,1),(335,1),(336,1),(514,1),(547,1)}
       280:{1,3,6}:{(221,1),(225,1),(228,1),(336,1)}
       281:{1,2,4,6}:{(222,1),(258,1),(337,1),(338,1),(432,1),(446,1),(503,1)}
       282:{1,2,5}:{(223,1),(334,1)}
       283:{1,2,4,6}:{(224,1),(229,1),(260,1),(335,1),(339,1),(363,1),(365,1),(432,1),(454,1)}
       284:{1,2,4,7}:{(225,1),(230,1),(261,1),(336,1),(366,1)}
       285:{2,3,5}:{(226,1),(235,1),(334,1),(341,1)}
       286:{2,3,6}:{(227,1),(229,1),(236,1),(335,1)}
       287:{2,3,7}:{(228,1),(230,1),(237,1),(336,1)}
       288:{2,5,6}:{(229,1),(231,1),(345,1)}
       289:{2,4,6,7}:{(229,1),(230,1),(232,1),(267,1),(343,1),(345,1),(441,1),(524,1),(546,1)}
       290:{1,4,5,6}:{(231,1),(233,1),(344,1),(347,1),(350,1),(432,1)}
       291:{1,3,5,7}:{(231,1),(232,1),(234,1),(243,1),(345,1),(347,1),(443,1),(453,1),(457,1),(548,1)}
       292:{3,4,5,6}:{(233,1),(244,1),(348,1),(440,1),(465,1)}
       293:{2,4,5,7}:{(233,1),(234,1),(269,1),(347,1),(348,1),(441,1)}
       294:{1,4,5}:{(235,1),(341,1),(350,1)}
       295:{1,3,5,6}:{(235,1),(236,1),(240,1),(342,1),(350,1),(351,1)}
       296:{1,3,6,7}:{(236,1),(237,1),(241,1),(343,1),(351,1),(552,1)}
       297:{2,3,4,6}:{(238,1),(246,1),(353,1),(354,1),(361,1),(448,1),(508,1),(545,1)}
       298:{1,3,5}:{(238,1),(239,1),(354,1)}
       299:{1,2,4,5,6}:{(239,1),(240,1),(242,1),(248,1),(344,1),(350,1),(355,1),(356,1),(357,1),(444,1),(448,1),(512,1),(542,1)}
       300:{1,2,5,7}:{(240,1),(241,1),(243,1),(345,1),(351,1),(548,1)}
       301:{1,3,5,6}:{(242,1),(244,1),(251,1),(357,1),(358,1)}
       302:{1,4,5,7}:{(242,1),(243,1),(245,1),(252,1),(358,1)}
       303:{3,5,7}:{(244,1),(245,1),(253,1)}
       304:{1,2,3,7}:{(352,1),(359,1),(547,1)}
       305:{1,3,4,7}:{(246,1),(353,1),(359,1),(360,1),(516,1),(547,1)}
       306:{2,3,5,7}:{(246,1),(247,1),(250,1),(354,1),(360,1),(361,1)}
       307:{1,3,6}:{(247,1),(248,1),(361,1)}
       308:{1,2,4,6,7}:{(248,1),(249,1),(252,1),(356,1),(362,1),(364,1),(379,1),(469,1),(524,1)}
       309:{1,4,5,7}:{(250,1),(360,1),(363,1),(447,1),(453,1),(516,1)}
       310:{2,4,6}:{(250,1),(251,1),(357,1),(361,1),(363,1)}
       311:{1,3,4,6,7}:{(251,1),(252,1),(253,1),(358,1),(362,1),(364,1),(449,1)}
       312:{1,4,5,7}:{(254,1),(256,1),(262,1),(365,1),(366,1),(457,1)}
       313:{1,4,6}:{(254,1),(257,1),(263,1),(366,1)}
       314:{1,3,5,7}:{(255,1),(259,1),(264,1),(334,1),(367,1),(368,1),(457,1)}
       315:{1,3,6}:{(256,1),(260,1),(265,1),(365,1)}
       316:{1,3,5,7}:{(257,1),(261,1),(266,1),(336,1),(366,1),(369,1),(457,1)}
       317:{1,3,4,7}:{(258,1),(337,1),(370,1),(371,1),(547,1)}
       318:{1,2,4,5,7}:{(258,1),(259,1),(338,1),(367,1),(371,1),(372,1),(458,1)}
       319:{1,2,5,6}:{(259,1),(260,1),(368,1),(372,1),(518,1)}
       320:{1,2,6,7}:{(260,1),(261,1),(267,1),(369,1)}
       321:{2,4,6}:{(262,1),(265,1),(270,1),(365,1),(374,1)}
       322:{2,4,7}:{(263,1),(266,1),(271,1),(366,1)}
       323:{2,4,5,7}:{(264,1),(272,1),(341,1),(367,1),(376,1),(377,1),(441,1)}
       324:{2,3,5,6}:{(264,1),(265,1),(273,1),(368,1),(374,1),(377,1),(463,1),(465,1),(518,1)}
       325:{2,3,6,7}:{(265,1),(266,1),(267,1),(274,1),(369,1),(375,1)}
       326:{2,5,6,7}:{(267,1),(268,1),(345,1),(379,1),(524,1)}
       327:{1,4,6,7}:{(268,1),(269,1),(347,1),(379,1)}
       328:{3,4,6,7}:{(269,1),(277,1),(348,1)}
       329:{1,3,5,6}:{(270,1),(374,1),(381,1),(382,1),(465,1)}
       330:{1,3,4,6,7}:{(270,1),(271,1),(274,1),(375,1),(382,1),(383,1),(467,1)}
       331:{1,4,6}:{(272,1),(273,1),(377,1)}
       332:{1,3,5,6,7}:{(273,1),(274,1),(275,1),(351,1),(378,1),(382,1),(383,1),(523,1),(548,1)}
       333:{1,3,5,6,7}:{(276,1),(277,1),(358,1),(380,1),(384,1),(519,1)}
       334:{1,3,5}:{(278,1),(282,1),(285,1),(385,1)}
       335:{1,3,6}:{(279,1),(283,1),(286,1)}
       336:{1,3,7}:{(280,1),(284,1),(287,1)}
       337:{1,3,4,6}:{(281,1),(317,1),(388,1),(389,1),(421,1),(484,1),(535,1)}
       338:{1,2,4,5}:{(281,1),(282,1),(385,1),(389,1),(471,1)}
       339:{1,2,5,6}:{(282,1),(283,1),(288,1),(386,1),(391,1),(407,1),(413,1)}
       340:{1,2,4,6,7}:{(283,1),(284,1),(289,1),(320,1),(387,1),(391,1),(412,1),(414,1),(473,1),(490,1),(536,1)}
       341:{2,4,5}:{(285,1),(294,1),(385,1),(392,1),(393,1)}
       342:{2,3,5,6}:{(285,1),(286,1),(288,1),(295,1),(386,1),(393,1),(394,1),(395,1)}
       343:{2,3,6,7}:{(286,1),(287,1),(289,1),(296,1),(387,1),(394,1),(427,1),(551,1)}
       344:{2,4,5,6}:{(288,1),(290,1),(393,1),(395,1),(396,1)}
       345:{2,5,7}:{(288,1),(289,1),(291,1)}
       346:{1,3,4,5,6}:{(290,1),(292,1),(301,1),(395,1),(397,1),(398,1),(401,1),(472,1),(481,1),(491,1)}
       347:{1,4,5,7}:{(290,1),(291,1),(293,1),(327,1),(396,1),(402,1),(473,1)}
       348:{3,4,5,7}:{(292,1),(293,1),(303,1),(328,1),(480,1),(499,1)}
       349:{1,3,4,5}:{(294,1),(298,1),(392,1),(400,1),(401,1)}
       350:{1,4,6}:{(294,1),(295,1),(393,1),(402,1)}
       351:{1,3,5,7}:{(295,1),(296,1),(300,1),(394,1),(402,1)}
       352:{1,2,3,6}:{(304,1),(399,1),(403,1),(535,1)}
       353:{1,3,4,6}:{(297,1),(305,1),(403,1),(404,1),(410,1),(484,1),(486,1),(535,1)}
       354:{2,3,5}:{(297,1),(298,1),(400,1),(404,1)}
       355:{1,3,5,6}:{(298,1),(299,1),(307,1),(395,1),(401,1),(405,1),(406,1),(549,1)}
       356:{1,2,4,5,7}:{(299,1),(300,1),(302,1),(308,1),(396,1),(402,1),(406,1),(408,1),(483,1),(487,1),(534,1),(550,1)}
       357:{2,5,6}:{(301,1),(310,1),(407,1),(408,1)}
       358:{1,3,5,7}:{(301,1),(302,1),(303,1),(311,1),(408,1)}
       359:{1,2,4,7}:{(304,1),(305,1),(403,1),(409,1)}
       360:{1,3,5,7}:{(305,1),(306,1),(309,1),(404,1),(409,1),(410,1)}
       361:{2,3,6}:{(306,1),(307,1),(310,1),(410,1)}
       362:{1,3,6,7}:{(307,1),(308,1),(406,1),(411,1),(427,1)}
       363:{1,4,6}:{(309,1),(310,1),(407,1),(410,1)}
       364:{2,4,6,7}:{(310,1),(311,1),(408,1),(411,1),(412,1),(487,1)}
       365:{1,4,6}:{(312,1),(315,1),(321,1),(413,1)}
       366:{1,4,7}:{(313,1),(316,1),(322,1)}
       367:{1,4,5,7}:{(314,1),(323,1),(385,1),(416,1),(473,1)}
       368:{1,3,5,6}:{(314,1),(315,1),(319,1),(324,1),(413,1),(416,1),(421,1)}
       369:{1,3,6,7}:{(315,1),(316,1),(320,1),(325,1),(414,1)}
       370:{2,3,4,7}:{(317,1),(388,1),(419,1),(420,1),(528,1),(551,1)}
       371:{1,3,5,7}:{(317,1),(318,1),(389,1),(420,1),(421,1)}
       372:{1,2,4,6}:{(318,1),(319,1),(416,1),(421,1),(494,1)}
       373:{1,2,5,6,7}:{(319,1),(320,1),(326,1),(391,1),(417,1),(422,1),(430,1),(538,1)}
       374:{2,5,6}:{(321,1),(329,1),(413,1),(424,1)}
       375:{2,4,6,7}:{(321,1),(322,1),(325,1),(330,1),(414,1),(424,1)}
       376:{3,4,5,7}:{(323,1),(392,1),(425,1),(480,1),(499,1)}
       377:{2,4,6}:{(323,1),(324,1),(331,1),(416,1),(425,1)}
       378:{2,3,5,6,7}:{(324,1),(325,1),(326,1),(332,1),(394,1),(417,1),(424,1),(426,1),(427,1),(498,1),(499,1),(538,1)}
       379:{2,4,6,7}:{(326,1),(327,1),(396,1),(427,1)}
       380:{1,3,4,6,7}:{(327,1),(328,1),(333,1),(398,1),(427,1),(428,1),(500,1)}
       381:{1,4,5,6}:{(329,1),(331,1),(423,1),(429,1),(537,1)}
       382:{1,3,5,7}:{(329,1),(330,1),(424,1),(429,1),(499,1)}
       383:{1,4,6,7}:{(331,1),(332,1),(402,1),(426,1),(429,1)}
       384:{2,5,6,7}:{(333,1),(408,1),(428,1),(430,1),(538,1)}
       385:{1,4,5}:{(334,1),(341,1),(432,1)}
       386:{1,3,5,6}:{(334,1),(335,1),(339,1),(342,1),(432,1),(433,1)}
       387:{1,3,6,7}:{(335,1),(336,1),(340,1),(343,1),(433,1),(547,1)}
       388:{2,3,4,6}:{(337,1),(370,1),(435,1),(436,1),(463,1),(503,1),(508,1),(545,1)}
       389:{1,3,5}:{(337,1),(338,1),(436,1)}
       390:{1,2,4,5,6}:{(338,1),(339,1),(344,1),(372,1),(432,1),(437,1),(438,1),(444,1),(456,1),(503,1),(512,1),(515,1),(518,1)}
       391:{1,2,5,7}:{(339,1),(340,1),(345,1),(433,1),(453,1),(457,1)}
       392:{3,4,5}:{(341,1),(440,1)}
       393:{2,4,6}:{(341,1),(342,1),(350,1),(432,1),(440,1),(441,1)}
       394:{2,3,5,7}:{(342,1),(343,1),(345,1),(351,1),(433,1),(441,1),(443,1)}
       395:{3,5,6}:{(344,1),(440,1),(443,1)}
       396:{2,4,5,7}:{(344,1),(345,1),(347,1),(379,1),(441,1),(443,1)}
       397:{2,4,5,6}:{(346,1),(357,1),(442,1),(444,1),(445,1),(448,1),(503,1),(512,1),(518,1)}
       398:{1,3,4,5,7}:{(346,1),(347,1),(348,1),(358,1),(380,1),(443,1),(445,1),(449,1),(504,1),(513,1),(519,1)}
       399:{1,2,3,5}:{(352,1),(446,1),(450,1),(514,1)}
       400:{2,4,5}:{(349,1),(354,1),(447,1),(448,1)}
       401:{1,3,4,6}:{(349,1),(350,1),(355,1),(440,1),(448,1),(449,1)}
       402:{1,4,7}:{(350,1),(351,1),(441,1)}
       403:{1,2,4,6}:{(352,1),(353,1),(359,1),(446,1),(450,1),(454,1)}
       404:{1,3,5}:{(353,1),(354,1),(447,1),(450,1)}
       405:{2,3,5,6}:{(354,1),(355,1),(357,1),(361,1),(448,1),(451,1),(452,1),(512,1),(545,1)}
       406:{1,3,5,7}:{(355,1),(356,1),(362,1),(443,1),(449,1),(452,1),(552,1)}
       407:{1,5,6}:{(357,1),(363,1),(453,1)}
       408:{2,5,7}:{(357,1),(358,1),(364,1),(453,1)}
       409:{1,2,5,7}:{(359,1),(360,1),(450,1),(454,1)}
       410:{1,3,6}:{(360,1),(361,1),(363,1),(454,1)}
       411:{2,3,6,7}:{(361,1),(362,1),(364,1),(452,1),(455,1),(524,1)}
       412:{1,4,6,7}:{(363,1),(364,1),(453,1),(455,1),(516,1)}
       413:{1,5,6}:{(365,1),(374,1),(457,1)}
       414:{1,4,6,7}:{(365,1),(366,1),(369,1),(375,1),(457,1)}
       415:{1,3,4,5,7}:{(367,1),(371,1),(376,1),(431,1),(458,1),(459,1),(504,1),(519,1)}
       416:{1,4,6}:{(367,1),(368,1),(377,1)}
       417:{1,3,5,6,7}:{(368,1),(369,1),(373,1),(378,1),(433,1),(457,1),(460,1),(464,1),(519,1)}
       418:{1,2,3,7}:{(434,1),(461,1),(552,1)}
       419:{1,3,4,7}:{(370,1),(435,1),(461,1),(462,1),(543,1),(552,1)}
       420:{2,3,5,7}:{(370,1),(371,1),(436,1),(458,1),(462,1),(463,1)}
       421:{1,3,6}:{(371,1),(372,1),(463,1)}
       422:{1,2,4,6,7}:{(372,1),(373,1),(379,1),(438,1),(460,1),(464,1),(469,1),(521,1),(524,1)}
       423:{2,4,5,6}:{(374,1),(377,1),(381,1),(456,1),(465,1),(466,1),(518,1)}
       424:{2,5,7}:{(374,1),(375,1),(382,1),(457,1)}
       425:{3,4,6}:{(376,1),(377,1),(465,1)}
       426:{2,4,6,7}:{(377,1),(378,1),(383,1),(441,1),(460,1),(466,1),(467,1)}
       427:{3,6,7}:{(379,1),(443,1)}
       428:{2,4,6,7}:{(380,1),(384,1),(445,1),(468,1),(469,1),(524,1)}
       429:{1,4,5,7}:{(381,1),(382,1),(383,1),(466,1),(548,1)}
       430:{1,5,6,7}:{(384,1),(453,1),(469,1),(548,1)}
       431:{1,3,4,5}:{(385,1),(389,1),(392,1),(471,1),(472,1)}
       432:{1,4,6}:{(385,1),(386,1),(393,1),(473,1)}
       433:{1,3,5,7}:{(386,1),(387,1),(391,1),(394,1),(473,1)}
       434:{1,2,3,6}:{(418,1),(470,1),(474,1),(549,1)}
       435:{1,3,4,6}:{(388,1),(419,1),(474,1),(475,1),(497,1),(525,1),(527,1),(549,1)}
       436:{2,3,5}:{(388,1),(389,1),(471,1),(475,1)}
       437:{1,3,5,6}:{(389,1),(390,1),(395,1),(421,1),(472,1),(476,1),(477,1),(535,1)}
       438:{1,2,4,5,7}:{(390,1),(391,1),(396,1),(422,1),(473,1),(477,1),(483,1),(492,1),(528,1),(534,1),(536,1),(538,1)}
       439:{2,3,4,5}:{(392,1),(400,1),(471,1),(478,1),(479,1),(531,1)}
       440:{3,4,6}:{(392,1),(393,1),(395,1),(480,1)}
       441:{2,4,7}:{(393,1),(394,1),(402,1),(473,1),(480,1)}
       442:{2,3,5,6}:{(395,1),(397,1),(479,1),(481,1),(482,1)}
       443:{3,5,7}:{(395,1),(396,1),(427,1),(480,1)}
       444:{1,4,5,6}:{(397,1),(407,1),(481,1),(483,1),(486,1),(527,1),(537,1)}
       445:{2,4,5,7}:{(397,1),(398,1),(408,1),(428,1),(482,1),(483,1),(487,1),(528,1),(534,1),(538,1)}
       446:{1,2,4}:{(399,1),(484,1)}
       447:{1,4,5}:{(400,1),(404,1),(486,1)}
       448:{2,4,6}:{(400,1),(401,1),(405,1),(486,1),(487,1)}
       449:{1,3,4,7}:{(401,1),(402,1),(406,1),(480,1),(487,1)}
       450:{1,2,5}:{(403,1),(404,1)}
       451:{1,3,5,6}:{(404,1),(405,1),(407,1),(410,1),(486,1),(488,1),(489,1),(535,1)}
       452:{2,3,5,7}:{(405,1),(406,1),(408,1),(411,1),(487,1),(489,1),(534,1),(551,1)}
       453:{1,5,7}:{(407,1),(408,1),(412,1)}
       454:{1,2,6}:{(409,1),(410,1)}
       455:{1,3,6,7}:{(410,1),(411,1),(412,1),(489,1),(490,1)}
       456:{1,4,5,6}:{(413,1),(416,1),(423,1),(491,1),(492,1)}
       457:{1,5,7}:{(413,1),(414,1),(424,1)}
       458:{2,4,5,7}:{(415,1),(420,1),(471,1),(493,1),(494,1),(528,1),(538,1)}
       459:{1,3,4,6}:{(415,1),(416,1),(421,1),(425,1),(491,1),(494,1)}
       460:{1,4,6,7}:{(416,1),(417,1),(426,1),(473,1),(492,1)}
       461:{1,2,4,7}:{(418,1),(419,1),(474,1),(496,1)}
       462:{1,3,5,7}:{(419,1),(420,1),(475,1),(493,1),(496,1),(497,1)}
       463:{2,3,6}:{(420,1),(421,1),(494,1),(497,1)}
       464:{1,3,6,7}:{(421,1),(422,1),(427,1),(477,1),(498,1)}
       465:{3,5,6}:{(423,1),(425,1),(499,1)}
       466:{2,4,5,7}:{(423,1),(424,1),(426,1),(429,1),(492,1),(499,1),(538,1)}
       467:{3,4,6,7}:{(425,1),(426,1),(427,1),(480,1),(499,1)}
       468:{2,3,6,7}:{(427,1),(428,1),(482,1),(500,1)}
       469:{1,4,6,7}:{(428,1),(430,1),(483,1),(500,1)}
       470:{1,2,3,5}:{(434,1),(501,1),(505,1),(541,1)}
       471:{2,4,5}:{(431,1),(436,1),(502,1),(503,1)}
       472:{1,3,4,6}:{(431,1),(432,1),(437,1),(440,1),(503,1),(504,1)}
       473:{1,4,7}:{(432,1),(433,1),(441,1)}
       474:{1,2,4,6}:{(434,1),(435,1),(461,1),(501,1),(505,1),(522,1)}
       475:{1,3,5}:{(435,1),(436,1),(502,1),(505,1)}
       476:{2,3,5,6}:{(436,1),(437,1),(463,1),(503,1),(506,1),(507,1),(512,1),(518,1),(545,1)}
       477:{1,3,5,7}:{(437,1),(438,1),(443,1),(464,1),(504,1),(507,1),(547,1)}
       478:{1,3,4,5}:{(439,1),(447,1),(502,1),(509,1),(510,1),(514,1),(541,1)}
       479:{2,3,4,6}:{(439,1),(440,1),(442,1),(448,1),(503,1),(510,1),(511,1),(545,1)}
       480:{3,4,7}:{(440,1),(441,1),(443,1)}
       481:{1,3,5,6}:{(442,1),(444,1),(510,1),(512,1),(513,1)}
       482:{2,3,5,7}:{(442,1),(443,1),(445,1),(468,1),(511,1),(513,1)}
       483:{1,4,5,7}:{(444,1),(445,1),(453,1),(469,1),(513,1),(516,1),(543,1),(548,1)}
       484:{1,3,4}:{(446,1),(508,1),(514,1)}
       485:{1,2,4,5}:{(446,1),(447,1),(450,1),(509,1),(514,1),(515,1)}
       486:{1,4,6}:{(447,1),(448,1),(451,1),(516,1)}
       487:{2,4,7}:{(448,1),(449,1),(452,1),(516,1)}
       488:{1,2,5,6}:{(450,1),(451,1),(454,1),(512,1),(515,1),(517,1)}
       489:{1,3,5,7}:{(451,1),(452,1),(453,1),(455,1),(516,1),(517,1),(547,1)}
       490:{1,2,6,7}:{(454,1),(455,1),(517,1),(524,1)}
       491:{1,3,5,6}:{(456,1),(459,1),(465,1),(518,1),(519,1)}
       492:{1,4,5,7}:{(456,1),(457,1),(460,1),(466,1),(519,1)}
       493:{1,4,5,7}:{(458,1),(462,1),(502,1),(520,1),(543,1),(548,1)}
       494:{2,4,6}:{(458,1),(459,1),(463,1),(518,1),(520,1)}
       495:{1,3,4,6,7}:{(459,1),(460,1),(464,1),(467,1),(504,1),(519,1),(521,1)}
       496:{1,2,5,7}:{(461,1),(462,1),(505,1),(522,1)}
       497:{1,3,6}:{(462,1),(463,1),(520,1),(522,1)}
       498:{2,3,6,7}:{(463,1),(464,1),(507,1),(521,1),(523,1),(524,1)}
       499:{3,5,7}:{(465,1),(466,1),(467,1)}
       500:{1,3,6,7}:{(468,1),(469,1),(513,1),(524,1)}
       501:{1,2,4}:{(470,1),(525,1)}
       502:{1,4,5}:{(471,1),(475,1),(527,1)}
       503:{2,4,6}:{(471,1),(472,1),(476,1),(527,1),(528,1)}
       504:{1,3,4,7}:{(472,1),(473,1),(477,1),(480,1),(528,1)}
       505:{1,2,5}:{(474,1),(475,1)}
       506:{1,3,5,6}:{(475,1),(476,1),(497,1),(527,1),(529,1),(530,1),(537,1),(549,1)}
       507:{2,3,5,7}:{(476,1),(477,1),(498,1),(528,1),(530,1),(534,1),(538,1),(551,1)}
       508:{2,3,4}:{(484,1),(525,1),(531,1)}
       509:{2,4,5}:{(478,1),(531,1),(532,1)}
       510:{1,3,4,6}:{(478,1),(479,1),(481,1),(486,1),(527,1),(532,1),(533,1),(535,1),(549,1)}
       511:{2,3,4,7}:{(479,1),(480,1),(482,1),(487,1),(528,1),(533,1),(551,1)}
       512:{2,5,6}:{(481,1),(532,1),(534,1)}
       513:{1,3,5,7}:{(481,1),(482,1),(483,1),(500,1),(533,1),(534,1)}
       514:{1,3,5}:{(484,1),(485,1),(531,1),(535,1)}
       515:{1,2,4,6}:{(485,1),(486,1),(488,1),(532,1),(535,1),(536,1)}
       516:{1,4,7}:{(486,1),(487,1),(489,1)}
       517:{1,2,5,7}:{(488,1),(489,1),(490,1),(534,1),(536,1)}
       518:{2,5,6}:{(491,1),(494,1),(537,1),(538,1)}
       519:{1,3,5,7}:{(491,1),(492,1),(495,1),(499,1),(538,1)}
       520:{1,4,6}:{(493,1),(494,1),(497,1),(537,1)}
       521:{2,4,6,7}:{(494,1),(495,1),(498,1),(528,1),(538,1),(539,1)}
       522:{1,2,6}:{(496,1),(497,1)}
       523:{1,3,6,7}:{(497,1),(498,1),(530,1),(539,1),(540,1)}
       524:{2,6,7}:{(500,1),(534,1)}
       525:{1,3,4}:{(501,1),(508,1),(541,1)}
       526:{1,2,4,5}:{(501,1),(502,1),(505,1),(509,1),(541,1),(542,1)}
       527:{1,4,6}:{(502,1),(503,1),(506,1),(543,1)}
       528:{2,4,7}:{(503,1),(504,1),(507,1),(543,1)}
       529:{1,2,5,6}:{(505,1),(506,1),(512,1),(522,1),(542,1),(544,1)}
       530:{1,3,5,7}:{(506,1),(507,1),(523,1),(543,1),(544,1),(548,1),(552,1)}
       531:{2,3,5}:{(508,1),(509,1),(514,1),(541,1),(545,1)}
       532:{2,4,6}:{(509,1),(510,1),(512,1),(545,1),(546,1)}
       533:{1,3,4,7}:{(510,1),(511,1),(513,1),(516,1),(543,1),(546,1),(547,1),(552,1)}
       534:{2,5,7}:{(512,1),(513,1),(524,1),(546,1)}
       535:{1,3,6}:{(514,1),(515,1),(545,1),(547,1)}
       536:{1,2,4,7}:{(515,1),(516,1),(517,1),(546,1),(547,1)}
       537:{1,5,6}:{(518,1),(520,1),(548,1)}
       538:{2,5,7}:{(518,1),(519,1),(521,1),(548,1)}
       539:{1,4,6,7}:{(520,1),(521,1),(523,1),(543,1),(548,1)}
       540:{1,2,6,7}:{(522,1),(523,1),(524,1),(544,1)}
       541:{1,3,5}:{(525,1),(526,1),(531,1),(549,1)}
       542:{1,2,4,6}:{(526,1),(527,1),(529,1),(532,1),(549,1),(550,1)}
       543:{1,4,7}:{(527,1),(528,1),(530,1)}
       544:{1,2,5,7}:{(529,1),(530,1),(534,1),(540,1),(550,1)}
       545:{2,3,6}:{(531,1),(532,1),(535,1),(549,1),(551,1)}
       546:{2,4,7}:{(532,1),(533,1),(534,1),(551,1)}
       547:{1,3,7}:{(535,1),(536,1),(551,1)}
       548:{1,5,7}:{(537,1),(538,1),(539,1)}
       549:{1,3,6}:{(541,1),(542,1),(545,1),(552,1)}
       550:{1,2,4,7}:{(542,1),(543,1),(544,1),(546,1),(552,1)}
       551:{2,3,7}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,3,7}:{(549,1),(550,1),(551,1)}

2143 :   0:{1,2,3,6,7}:{(2,1),(3,1),(44,1),(103,1),(264,1),(296,1),(367,1),(377,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(16,1),(44,1),(48,1),(194,1),(265,1),(274,1),(367,1),(376,1),(453,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(137,1),(212,1),(316,1),(414,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(26,1),(73,1),(244,1),(328,1),(421,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(67,1),(319,1),(422,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(11,1),(14,1),(39,1),(44,1),(164,1),(262,1),(270,1),(377,1),(378,1),(460,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(180,1),(453,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(14,1),(100,1),(460,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(42,1),(453,1),(461,1)}
         9:{1,3,4,6}:{(4,1),(14,1),(16,1),(17,1),(44,1),(274,1),(275,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(27,1),(59,1),(70,1),(122,1),(129,1),(137,1),(210,1),(216,1),(334,1),(335,1),(428,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1),(323,1),(424,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(25,1),(136,1),(316,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(25,1),(26,1),(65,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(26,1),(27,1),(328,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(62,1),(67,1),(81,1),(136,1),(153,1),(219,1),(324,1),(331,1),(422,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(30,1),(31,1),(67,1),(70,1),(229,1),(230,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(106,1),(162,1),(189,1),(261,1),(287,1),(469,1)}
        19:{1,3,4,6,7}:{(10,1),(33,1),(35,1),(46,1),(85,1),(87,1),(104,1),(162,1),(182,1),(287,1),(288,1),(388,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(172,1),(180,1),(268,1),(386,1)}
        21:{1,3,5,6}:{(11,1),(12,1),(36,1),(39,1),(44,1),(262,1),(269,1)}
        22:{1,4,5,7}:{(11,1),(37,1),(39,1),(460,1),(461,1)}
        23:{1,3,4,5}:{(16,1),(41,1),(42,1),(461,1),(465,1)}
        24:{1,2,5,6,7}:{(12,1),(38,1),(43,1),(180,1),(200,1),(300,1),(366,1),(375,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(39,1),(44,1),(98,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(16,1),(44,1),(45,1)}
        27:{2,3,4,7}:{(14,1),(17,1),(45,1),(46,1),(100,1),(283,1)}
        28:{1,2,4,5,7}:{(15,1),(43,1),(47,1),(95,1),(100,1),(115,1),(180,1),(198,1),(273,1),(375,1),(381,1),(460,1)}
        29:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(47,1),(48,1),(274,1),(382,1)}
        30:{2,3,5}:{(16,1),(17,1),(42,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(46,1),(49,1),(50,1),(101,1),(104,1),(186,1),(187,1)}
        32:{1,3,4,5,6}:{(41,1),(51,1),(52,1),(96,1),(112,1),(171,1),(203,1),(277,1),(382,1),(403,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(54,1),(55,1),(72,1),(120,1),(144,1),(216,1),(239,1)}
        34:{1,2,3,5,7}:{(18,1),(53,1),(54,1),(55,1),(121,1),(311,1),(338,1),(487,1),(524,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(54,1),(56,1),(57,1),(231,1),(341,1)}
        36:{2,3,5,6}:{(20,1),(21,1),(56,1),(59,1),(70,1),(128,1),(136,1),(210,1),(215,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(57,1),(59,1),(60,1),(428,1),(429,1)}
        38:{1,3,5,6,7}:{(21,1),(24,1),(58,1),(63,1),(69,1),(135,1),(315,1),(323,1),(421,1)}
        39:{1,4,6}:{(21,1),(22,1),(59,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(26,1),(60,1),(64,1),(65,1),(66,1),(135,1)}
        41:{1,3,4,6}:{(23,1),(29,1),(66,1),(67,1),(422,1),(427,1)}
        42:{2,4,5}:{(23,1),(30,1),(67,1),(68,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(63,1),(69,1),(137,1),(155,1),(248,1),(351,1)}
        44:{1,3,6}:{(25,1),(26,1),(70,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(70,1),(71,1)}
        46:{1,3,4,7}:{(27,1),(31,1),(71,1),(72,1),(140,1),(236,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(66,1),(69,1),(73,1),(328,1),(426,1)}
        48:{2,3,5,6}:{(29,1),(30,1),(67,1),(70,1),(73,1),(74,1),(136,1),(153,1),(229,1)}
        49:{1,3,5}:{(30,1),(31,1),(68,1),(75,1)}
        50:{1,2,4,6}:{(31,1),(72,1),(75,1),(76,1),(144,1),(148,1)}
        51:{1,3,4,5,7}:{(32,1),(66,1),(79,1),(80,1),(135,1),(152,1),(221,1),(253,1),(330,1),(356,1),(426,1)}
        52:{2,4,5,6}:{(32,1),(67,1),(77,1),(80,1),(81,1),(136,1),(153,1),(250,1),(441,1)}
        53:{1,2,3,5,6}:{(34,1),(82,1),(83,1),(159,1),(162,1),(189,1),(258,1),(286,1),(292,1),(455,1),(502,1),(504,1)}
        54:{1,2,5,7}:{(33,1),(35,1),(83,1),(268,1),(292,1)}
        55:{1,2,4,7}:{(34,1),(82,1),(85,1),(360,1),(388,1)}
        56:{1,3,5,6}:{(35,1),(36,1),(83,1),(87,1),(104,1),(162,1),(181,1)}
        57:{1,4,5,7}:{(35,1),(37,1),(87,1),(388,1),(389,1)}
        58:{2,3,5,6,7}:{(36,1),(38,1),(86,1),(90,1),(103,1),(172,1),(180,1),(261,1),(268,1),(300,1),(383,1),(398,1)}
        59:{2,4,6}:{(36,1),(37,1),(39,1),(87,1),(91,1)}
        60:{3,4,5,7}:{(37,1),(91,1),(172,1),(464,1),(465,1)}
        61:{2,3,4,5}:{(42,1),(93,1),(94,1),(179,1),(303,1),(465,1)}
        62:{1,4,5,6}:{(39,1),(89,1),(95,1),(96,1),(269,1)}
        63:{1,4,6,7}:{(38,1),(39,1),(90,1),(95,1),(460,1)}
        64:{1,3,4,6}:{(39,1),(40,1),(44,1),(91,1),(96,1),(98,1)}
        65:{2,4,5,7}:{(40,1),(42,1),(45,1),(98,1),(99,1),(100,1),(180,1)}
        66:{1,3,4,7}:{(41,1),(47,1),(100,1),(460,1),(464,1)}
        67:{2,4,6}:{(41,1),(42,1),(48,1),(100,1),(101,1)}
        68:{1,4,5}:{(42,1),(49,1),(101,1)}
        69:{1,3,6,7}:{(43,1),(44,1),(47,1),(103,1),(398,1)}
        70:{2,3,6}:{(44,1),(45,1),(98,1),(104,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(49,1),(99,1),(104,1),(105,1)}
        72:{1,2,4,7}:{(46,1),(50,1),(105,1),(106,1)}
        73:{2,3,5,7}:{(47,1),(48,1),(100,1),(103,1),(107,1),(180,1),(198,1),(283,1)}
        74:{1,3,5,6}:{(48,1),(49,1),(101,1),(104,1),(107,1),(108,1),(181,1),(186,1)}
        75:{1,2,5}:{(49,1),(50,1)}
        76:{1,2,3,6}:{(50,1),(106,1),(109,1),(186,1)}
        77:{2,3,5,6}:{(52,1),(93,1),(111,1),(112,1),(382,1)}
        78:{1,4,5,6,7}:{(95,1),(110,1),(113,1),(295,1),(299,1),(402,1)}
        79:{1,3,4,6,7}:{(51,1),(113,1),(114,1),(195,1),(197,1),(299,1),(398,1)}
        80:{2,4,5,7}:{(51,1),(52,1),(100,1),(111,1),(114,1),(115,1),(180,1),(198,1),(302,1),(400,1)}
        81:{1,4,5,6}:{(52,1),(101,1),(112,1),(115,1),(181,1),(298,1),(473,1)}
        82:{1,2,4,6}:{(53,1),(55,1),(117,1),(118,1),(309,1),(339,1),(523,1)}
        83:{1,2,5,6}:{(54,1),(56,1),(120,1),(144,1),(215,1)}
        84:{1,2,4,5,7}:{(54,1),(55,1),(57,1),(117,1),(120,1),(121,1),(126,1)}
        85:{1,3,4,7}:{(55,1),(118,1),(121,1),(122,1),(524,1)}
        86:{1,3,5,6,7}:{(56,1),(58,1),(119,1),(124,1),(143,1),(209,1),(214,1),(231,1),(338,1)}
        87:{1,4,6}:{(56,1),(57,1),(59,1)}
        88:{1,3,4,5,7}:{(57,1),(60,1),(121,1),(125,1),(126,1),(204,1),(214,1),(308,1)}
        89:{2,4,5,6}:{(59,1),(62,1),(123,1),(127,1),(128,1),(136,1),(215,1)}
        90:{2,4,6,7}:{(58,1),(59,1),(63,1),(124,1),(127,1),(129,1),(428,1)}
        91:{3,4,6}:{(59,1),(60,1),(128,1)}
        92:{2,3,4,5,7}:{(60,1),(61,1),(65,1),(126,1),(130,1),(131,1),(132,1),(223,1),(227,1),(307,1),(354,1),(404,1),(428,1),(429,1),(495,1),(532,1)}
        93:{2,3,4,6}:{(61,1),(67,1),(77,1),(132,1),(133,1),(229,1),(250,1),(427,1)}
        94:{1,3,4,5}:{(61,1),(68,1),(133,1),(134,1),(142,1),(220,1),(350,1)}
        95:{1,4,5,7}:{(62,1),(63,1),(127,1),(135,1),(323,1)}
        96:{1,3,5,6}:{(62,1),(64,1),(128,1),(135,1),(136,1)}
        97:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(69,1),(129,1),(135,1),(137,1)}
        98:{2,4,6}:{(64,1),(65,1),(70,1),(136,1),(138,1)}
        99:{1,4,5,7}:{(65,1),(68,1),(71,1),(138,1),(140,1),(231,1)}
       100:{2,4,7}:{(66,1),(67,1),(73,1),(140,1)}
       101:{1,4,6}:{(67,1),(68,1),(74,1),(140,1)}
       102:{1,2,4,5}:{(68,1),(75,1),(134,1),(141,1),(142,1),(148,1)}
       103:{2,3,6,7}:{(69,1),(70,1),(73,1),(137,1),(143,1),(248,1)}
       104:{1,3,6}:{(70,1),(71,1),(138,1),(144,1)}
       105:{1,2,5,7}:{(71,1),(72,1),(75,1),(144,1)}
       106:{1,2,3,7}:{(72,1),(76,1),(236,1)}
       107:{1,3,5,7}:{(73,1),(74,1),(140,1),(143,1),(146,1),(231,1),(236,1)}
       108:{1,2,5,6}:{(74,1),(75,1),(141,1),(144,1),(146,1),(153,1)}
       109:{1,2,3,5}:{(75,1),(76,1),(142,1),(148,1)}
       110:{2,4,5,6,7}:{(78,1),(127,1),(149,1),(150,1),(154,1),(243,1),(246,1),(351,1),(440,1)}
       111:{2,3,5,7}:{(77,1),(80,1),(132,1),(151,1),(152,1),(426,1)}
       112:{1,3,5,6}:{(77,1),(81,1),(133,1),(152,1),(153,1)}
       113:{1,3,5,6,7}:{(78,1),(79,1),(135,1),(150,1),(154,1),(356,1)}
       114:{2,4,6,7}:{(79,1),(80,1),(151,1),(154,1),(155,1),(248,1)}
       115:{1,4,5,7}:{(80,1),(81,1),(140,1),(152,1),(155,1),(231,1),(349,1),(437,1)}
       116:{1,2,4,5,6}:{(81,1),(141,1),(153,1),(156,1),(157,1),(232,1),(241,1),(250,1),(331,1),(339,1),(344,1),(441,1),(442,1)}
       117:{1,2,4,5}:{(82,1),(159,1),(256,1),(292,1),(389,1)}
       118:{1,3,4,6}:{(82,1),(85,1),(159,1),(160,1),(162,1),(504,1),(505,1)}
       119:{1,2,5,6,7}:{(83,1),(86,1),(161,1),(188,1),(268,1),(285,1),(295,1),(300,1)}
       120:{1,2,4,6}:{(83,1),(84,1),(87,1),(162,1),(168,1)}
       121:{1,3,5,7}:{(84,1),(85,1),(159,1),(162,1),(163,1)}
       122:{2,3,4,7}:{(85,1),(160,1),(163,1),(164,1),(360,1),(506,1)}
       123:{1,4,5,6}:{(87,1),(89,1),(165,1),(166,1),(181,1)}
       124:{1,4,6,7}:{(86,1),(87,1),(90,1),(165,1),(388,1)}
       125:{1,3,4,6}:{(87,1),(88,1),(91,1),(162,1),(166,1),(168,1)}
       126:{2,4,5,7}:{(88,1),(163,1),(168,1),(169,1),(256,1),(268,1),(360,1)}
       127:{2,4,5,7}:{(89,1),(90,1),(95,1),(165,1),(172,1),(180,1),(268,1)}
       128:{3,5,6}:{(89,1),(91,1),(172,1)}
       129:{3,4,6,7}:{(90,1),(91,1),(172,1),(398,1),(464,1)}
       130:{2,3,4,6}:{(91,1),(92,1),(98,1),(168,1),(173,1),(175,1),(281,1),(384,1),(401,1),(518,1),(543,1)}
       131:{1,3,4,5,7}:{(92,1),(94,1),(99,1),(169,1),(175,1),(176,1),(177,1),(184,1),(272,1),(278,1),(359,1),(388,1),(389,1),(397,1),(444,1),(460,1),(461,1),(464,1),(465,1),(542,1)}
       132:{2,3,4,7}:{(93,1),(100,1),(111,1),(177,1),(283,1),(302,1),(464,1)}
       133:{1,3,4,6}:{(93,1),(94,1),(101,1),(112,1),(177,1),(178,1),(186,1),(274,1),(298,1)}
       134:{2,4,5}:{(94,1),(178,1),(179,1)}
       135:{1,3,5,7}:{(95,1),(96,1),(97,1),(172,1),(180,1)}
       136:{2,5,6}:{(96,1),(98,1),(180,1),(181,1)}
       137:{2,4,6,7}:{(97,1),(98,1),(100,1),(103,1),(180,1),(182,1)}
       138:{1,4,6}:{(98,1),(99,1),(104,1),(181,1)}
       139:{1,2,4,5,7}:{(99,1),(102,1),(105,1),(176,1),(183,1),(184,1),(185,1),(190,1),(285,1),(292,1),(388,1),(389,1),(443,1),(503,1),(542,1),(550,1)}
       140:{1,4,7}:{(100,1),(101,1),(107,1)}
       141:{1,2,4,6}:{(101,1),(102,1),(108,1),(178,1),(185,1),(186,1)}
       142:{1,3,5}:{(102,1),(179,1),(186,1),(187,1)}
       143:{1,3,6,7}:{(103,1),(104,1),(107,1),(182,1),(188,1)}
       144:{1,2,6}:{(104,1),(105,1)}
       145:{1,2,3,5,7}:{(105,1),(106,1),(109,1),(184,1),(189,1),(190,1),(292,1),(502,1),(536,1),(550,1)}
       146:{1,2,5,7}:{(107,1),(108,1),(185,1),(188,1),(198,1)}
       147:{1,2,3,5,6}:{(108,1),(109,1),(186,1),(189,1),(191,1),(192,1),(199,1),(286,1),(290,1),(292,1),(391,1),(392,1)}
       148:{1,2,4}:{(109,1),(187,1)}
       149:{1,4,5,6,7}:{(110,1),(165,1),(193,1),(200,1),(299,1),(472,1)}
       150:{3,5,6,7}:{(110,1),(172,1),(195,1),(398,1),(474,1)}
       151:{2,3,6,7}:{(111,1),(114,1),(197,1),(398,1)}
       152:{1,3,5,7}:{(111,1),(112,1),(115,1),(177,1),(197,1),(198,1)}
       153:{2,5,6}:{(112,1),(178,1),(198,1)}
       154:{2,5,6,7}:{(113,1),(114,1),(180,1),(200,1),(400,1)}
       155:{1,4,6,7}:{(114,1),(115,1),(197,1),(200,1)}
       156:{1,2,4,5,7}:{(115,1),(116,1),(185,1),(198,1),(201,1),(202,1),(285,1),(302,1),(381,1),(388,1),(400,1),(402,1)}
       157:{1,3,5,6}:{(116,1),(186,1),(199,1),(202,1),(203,1),(290,1),(382,1),(391,1)}
       158:{1,2,4,5,6}:{(117,1),(120,1),(123,1),(205,1),(206,1),(215,1),(232,1),(309,1),(322,1),(331,1),(339,1),(418,1),(476,1)}
       159:{1,3,5}:{(117,1),(118,1),(207,1)}
       160:{2,3,4,6}:{(118,1),(122,1),(207,1),(208,1),(210,1),(309,1),(479,1),(480,1)}
       161:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(205,1),(209,1),(216,1),(346,1),(351,1),(434,1)}
       162:{1,3,6}:{(120,1),(121,1),(210,1)}
       163:{2,3,5,7}:{(121,1),(122,1),(126,1),(207,1),(210,1),(211,1)}
       164:{1,3,4,7}:{(122,1),(208,1),(211,1),(212,1),(407,1),(481,1)}
       165:{1,4,5,7}:{(123,1),(124,1),(127,1),(214,1),(231,1)}
       166:{1,3,5,6}:{(123,1),(125,1),(128,1),(214,1),(215,1)}
       167:{1,3,4,6,7}:{(124,1),(125,1),(129,1),(209,1),(214,1),(216,1),(308,1)}
       168:{2,4,6}:{(125,1),(126,1),(210,1),(215,1),(217,1)}
       169:{1,4,5,7}:{(126,1),(211,1),(217,1),(310,1),(323,1),(407,1)}
       170:{1,2,4,5}:{(134,1),(219,1),(220,1),(319,1),(350,1),(416,1)}
       171:{3,4,5,6}:{(128,1),(221,1),(222,1),(427,1),(501,1)}
       172:{3,5,7}:{(127,1),(128,1),(129,1)}
       173:{2,3,5,6}:{(128,1),(130,1),(136,1),(215,1),(222,1),(223,1),(224,1),(441,1),(501,1),(535,1)}
       174:{2,3,4,6,7}:{(129,1),(130,1),(132,1),(137,1),(151,1),(216,1),(223,1),(225,1),(246,1),(334,1),(345,1),(353,1),(404,1),(428,1),(439,1),(498,1)}
       175:{1,3,4,6}:{(130,1),(131,1),(138,1),(217,1),(224,1),(226,1),(234,1),(326,1),(339,1),(422,1),(427,1),(438,1),(549,1)}
       176:{2,4,5,7}:{(131,1),(134,1),(226,1),(227,1),(228,1),(332,1),(406,1),(428,1),(429,1),(478,1)}
       177:{1,3,4,7}:{(132,1),(133,1),(140,1),(152,1),(228,1),(236,1),(328,1),(349,1)}
       178:{2,4,6}:{(133,1),(134,1),(153,1),(228,1),(229,1)}
       179:{2,3,5}:{(134,1),(142,1),(220,1),(229,1),(230,1)}
       180:{2,5,7}:{(135,1),(136,1),(137,1),(231,1)}
       181:{1,5,6}:{(136,1),(138,1),(231,1)}
       182:{1,4,6,7}:{(137,1),(138,1),(140,1),(143,1),(231,1)}
       183:{1,2,4,6}:{(138,1),(139,1),(144,1),(226,1),(232,1),(234,1),(339,1),(549,1),(552,1)}
       184:{1,3,5,7}:{(139,1),(142,1),(227,1),(234,1),(235,1),(236,1),(341,1),(477,1),(524,1)}
       185:{1,2,4,7}:{(140,1),(141,1),(146,1),(228,1),(236,1)}
       186:{1,3,6}:{(141,1),(142,1),(229,1),(236,1)}
       187:{1,3,4}:{(142,1),(148,1),(230,1)}
       188:{1,2,6,7}:{(143,1),(144,1),(146,1),(248,1)}
       189:{1,2,3,6}:{(144,1),(145,1),(234,1),(239,1),(552,1)}
       190:{1,2,4,7}:{(145,1),(148,1),(235,1),(239,1),(523,1)}
       191:{1,2,3,5,7}:{(146,1),(147,1),(236,1),(238,1),(240,1),(249,1),(338,1),(342,1),(343,1)}
       192:{1,2,4,6}:{(147,1),(148,1),(237,1),(240,1),(241,1),(250,1),(339,1)}
       193:{1,3,5,6,7}:{(149,1),(150,1),(214,1),(242,1),(243,1),(499,1)}
       194:{1,2,5,6}:{(153,1),(219,1),(244,1),(245,1),(416,1),(486,1)}
       195:{3,4,6,7}:{(150,1),(221,1),(246,1)}
       196:{2,3,5,6,7}:{(150,1),(151,1),(154,1),(223,1),(243,1),(246,1),(247,1),(345,1)}
       197:{1,3,6,7}:{(151,1),(152,1),(155,1),(248,1)}
       198:{2,5,7}:{(152,1),(153,1),(228,1),(248,1)}
       199:{2,3,5,6}:{(153,1),(157,1),(229,1),(245,1),(249,1),(250,1),(337,1),(431,1),(441,1)}
       200:{1,5,6,7}:{(154,1),(155,1),(231,1),(437,1)}
       201:{1,2,4,6,7}:{(155,1),(156,1),(248,1),(251,1),(252,1),(344,1),(351,1),(353,1),(355,1)}
       202:{1,3,5,7}:{(156,1),(157,1),(236,1),(249,1),(252,1),(253,1),(426,1)}
       203:{1,3,4,6}:{(157,1),(250,1),(253,1),(254,1),(339,1),(427,1)}
       204:{1,3,4,5}:{(159,1),(255,1),(256,1),(389,1),(465,1)}
       205:{1,2,4,5,7}:{(158,1),(161,1),(165,1),(257,1),(268,1),(285,1),(360,1),(373,1),(381,1),(388,1),(456,1),(503,1)}
       206:{1,3,5,6}:{(158,1),(159,1),(162,1),(255,1),(257,1),(258,1),(382,1),(504,1)}
       207:{2,3,5}:{(159,1),(160,1),(256,1),(259,1)}
       208:{1,3,4,6}:{(160,1),(164,1),(259,1),(260,1),(262,1),(361,1),(448,1),(449,1)}
       209:{1,3,6,7}:{(161,1),(162,1),(257,1),(261,1),(398,1)}
       210:{2,3,6}:{(162,1),(163,1),(168,1),(262,1)}
       211:{1,3,5,7}:{(163,1),(164,1),(169,1),(259,1),(262,1),(263,1)}
       212:{1,2,4,7}:{(164,1),(260,1),(263,1),(264,1)}
       213:{1,3,4,5,6}:{(166,1),(171,1),(255,1),(266,1),(267,1),(277,1),(372,1),(382,1),(459,1),(521,1)}
       214:{1,3,5,7}:{(165,1),(166,1),(167,1),(172,1),(268,1)}
       215:{2,5,6}:{(166,1),(168,1),(268,1),(269,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(261,1),(268,1),(270,1),(360,1)}
       217:{1,4,6}:{(168,1),(169,1),(262,1),(269,1)}
       218:{1,2,4,5,7}:{(169,1),(170,1),(176,1),(263,1),(271,1),(272,1),(273,1),(362,1),(368,1),(375,1),(397,1),(447,1),(453,1),(454,1),(460,1),(461,1)}
       219:{1,2,4,6}:{(170,1),(178,1),(194,1),(273,1),(274,1),(298,1)}
       220:{1,3,5}:{(170,1),(179,1),(274,1),(275,1)}
       221:{3,4,5,7}:{(171,1),(172,1),(195,1),(276,1),(464,1),(474,1)}
       222:{2,4,5,6}:{(171,1),(173,1),(276,1),(277,1),(384,1)}
       223:{2,3,5,7}:{(172,1),(173,1),(174,1),(180,1),(268,1),(276,1),(278,1),(400,1),(474,1),(520,1)}
       224:{1,3,5,6}:{(173,1),(175,1),(181,1),(269,1),(277,1),(278,1),(279,1),(382,1),(473,1),(544,1)}
       225:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(182,1),(197,1),(270,1),(278,1),(280,1),(287,1),(299,1),(377,1),(388,1),(393,1),(396,1),(398,1),(444,1),(460,1),(464,1),(519,1)}
       226:{2,4,6}:{(175,1),(176,1),(279,1),(281,1)}
       227:{2,3,5,7}:{(176,1),(179,1),(184,1),(272,1),(281,1),(282,1),(283,1),(386,1),(446,1),(506,1)}
       228:{2,4,7}:{(177,1),(178,1),(198,1),(283,1)}
       229:{2,3,6}:{(178,1),(179,1),(186,1),(274,1),(283,1)}
       230:{2,3,4}:{(179,1),(187,1),(275,1)}
       231:{1,5,7}:{(180,1),(181,1),(182,1)}
       232:{1,2,5,6}:{(181,1),(183,1),(279,1),(285,1),(286,1),(292,1),(544,1)}
       233:{1,2,4,6,7}:{(182,1),(183,1),(185,1),(188,1),(280,1),(285,1),(287,1),(388,1),(469,1),(503,1),(519,1)}
       234:{1,3,6}:{(183,1),(184,1),(281,1)}
       235:{1,3,4,7}:{(184,1),(187,1),(190,1),(282,1),(288,1),(388,1),(505,1)}
       236:{1,3,7}:{(185,1),(186,1),(283,1)}
       237:{1,3,4,6}:{(186,1),(187,1),(192,1),(284,1),(289,1),(290,1),(391,1)}
       238:{1,2,3,6,7}:{(188,1),(189,1),(191,1),(287,1),(291,1),(301,1),(391,1),(536,1)}
       239:{1,2,4,6}:{(189,1),(190,1),(288,1),(292,1)}
       240:{1,2,4,7}:{(191,1),(192,1),(289,1),(302,1),(388,1)}
       241:{1,2,4,5}:{(192,1),(290,1),(292,1),(303,1),(389,1)}
       242:{1,3,4,6,7}:{(193,1),(195,1),(266,1),(294,1),(299,1),(393,1),(398,1)}
       243:{2,5,6,7}:{(193,1),(268,1),(294,1),(295,1),(520,1)}
       244:{1,2,5,7}:{(194,1),(198,1),(273,1),(296,1),(297,1)}
       245:{1,3,5,6}:{(194,1),(199,1),(274,1),(297,1),(298,1),(380,1),(463,1),(473,1)}
       246:{2,4,6,7}:{(195,1),(196,1),(276,1),(299,1)}
       247:{1,3,5,6,7}:{(196,1),(197,1),(200,1),(278,1),(295,1),(299,1),(300,1),(393,1),(398,1)}
       248:{2,6,7}:{(197,1),(198,1)}
       249:{2,3,5,7}:{(198,1),(199,1),(202,1),(283,1),(297,1),(301,1),(302,1),(400,1)}
       250:{2,4,6}:{(199,1),(203,1),(298,1),(302,1),(303,1)}
       251:{1,2,5,6,7}:{(200,1),(201,1),(285,1),(300,1),(304,1),(392,1),(400,1),(469,1)}
       252:{1,3,6,7}:{(201,1),(202,1),(301,1),(391,1),(398,1)}
       253:{1,3,4,7}:{(202,1),(203,1),(302,1),(388,1),(464,1)}
       254:{1,3,4,5}:{(203,1),(290,1),(303,1),(389,1),(465,1)}
       255:{1,3,4,6}:{(204,1),(206,1),(308,1),(309,1),(339,1),(427,1)}
       256:{2,4,5}:{(204,1),(207,1),(309,1),(310,1)}
       257:{1,3,5,7}:{(205,1),(206,1),(209,1),(308,1),(311,1),(426,1),(524,1)}
       258:{2,3,5,6}:{(206,1),(207,1),(210,1),(215,1),(309,1),(311,1),(312,1),(418,1),(479,1)}
       259:{1,3,5}:{(207,1),(208,1),(310,1),(313,1)}
       260:{1,2,4,6}:{(208,1),(212,1),(313,1),(314,1),(316,1),(412,1)}
       261:{2,3,6,7}:{(209,1),(210,1),(216,1),(311,1),(315,1),(434,1)}
       262:{1,3,6}:{(210,1),(211,1),(217,1),(316,1)}
       263:{1,2,5,7}:{(211,1),(212,1),(313,1),(316,1)}
       264:{1,2,3,7}:{(212,1),(314,1),(481,1)}
       265:{1,2,3,5}:{(220,1),(318,1),(319,1),(416,1)}
       266:{1,3,4,5,7}:{(213,1),(214,1),(221,1),(242,1),(308,1),(321,1),(330,1),(417,1),(426,1),(491,1),(499,1)}
       267:{2,4,5,6}:{(213,1),(215,1),(309,1),(320,1),(321,1),(322,1),(418,1),(490,1),(535,1)}
       268:{2,5,7}:{(214,1),(215,1),(216,1),(323,1)}
       269:{1,5,6}:{(215,1),(217,1),(323,1)}
       270:{1,4,6,7}:{(216,1),(217,1),(315,1),(323,1),(407,1)}
       271:{1,2,4,6}:{(217,1),(218,1),(226,1),(316,1),(324,1),(326,1),(422,1),(438,1),(486,1)}
       272:{1,3,5,7}:{(218,1),(220,1),(227,1),(326,1),(327,1),(328,1),(409,1),(424,1),(481,1)}
       273:{1,2,4,7}:{(219,1),(228,1),(244,1),(328,1),(349,1)}
       274:{1,3,6}:{(219,1),(220,1),(229,1),(328,1)}
       275:{1,3,4}:{(220,1),(230,1),(319,1)}
       276:{2,4,5,7}:{(221,1),(222,1),(223,1),(246,1),(330,1),(428,1)}
       277:{1,4,5,6}:{(222,1),(224,1),(330,1),(331,1),(339,1),(422,1)}
       278:{1,3,5,7}:{(223,1),(224,1),(225,1),(231,1),(323,1),(330,1),(332,1),(426,1),(437,1),(534,1)}
       279:{2,5,6}:{(224,1),(226,1),(332,1)}
       280:{2,4,6,7}:{(225,1),(226,1),(228,1),(248,1),(332,1),(334,1),(428,1),(434,1),(478,1)}
       281:{2,3,6}:{(226,1),(227,1),(234,1),(326,1)}
       282:{2,3,4,7}:{(227,1),(230,1),(235,1),(327,1),(335,1),(428,1),(480,1)}
       283:{2,3,7}:{(228,1),(229,1),(236,1),(328,1)}
       284:{2,3,4,6}:{(229,1),(230,1),(237,1),(250,1),(329,1),(336,1),(337,1),(431,1)}
       285:{1,2,5,7}:{(231,1),(232,1),(233,1),(332,1),(338,1),(534,1)}
       286:{1,3,5,6}:{(232,1),(234,1),(333,1),(338,1),(339,1),(341,1)}
       287:{1,3,6,7}:{(233,1),(234,1),(236,1),(334,1),(338,1),(524,1)}
       288:{1,3,4,6}:{(234,1),(235,1),(239,1),(335,1),(339,1),(341,1)}
       289:{1,3,4,7}:{(236,1),(237,1),(240,1),(336,1),(342,1)}
       290:{1,3,5}:{(237,1),(241,1),(337,1)}
       291:{1,2,4,6,7}:{(238,1),(239,1),(240,1),(340,1),(343,1),(344,1),(353,1),(545,1),(552,1)}
       292:{1,2,5}:{(239,1),(341,1)}
       293:{1,2,4,5,7}:{(240,1),(241,1),(342,1),(343,1),(344,1),(354,1),(432,1)}
       294:{2,4,6,7}:{(242,1),(243,1),(321,1),(345,1),(346,1),(434,1)}
       295:{1,5,6,7}:{(243,1),(323,1),(346,1),(534,1)}
       296:{1,2,6,7}:{(244,1),(248,1),(348,1),(486,1)}
       297:{1,3,5,7}:{(244,1),(245,1),(249,1),(328,1),(348,1),(349,1),(437,1)}
       298:{1,4,6}:{(245,1),(250,1),(349,1),(350,1)}
       299:{1,4,6,7}:{(246,1),(247,1),(330,1),(351,1)}
       300:{2,5,6,7}:{(247,1),(248,1),(332,1),(351,1),(434,1)}
       301:{2,3,6,7}:{(248,1),(249,1),(252,1),(348,1),(353,1),(431,1)}
       302:{2,4,7}:{(249,1),(250,1),(253,1),(349,1)}
       303:{2,4,5}:{(250,1),(254,1),(337,1),(350,1)}
       304:{1,3,5,6,7}:{(251,1),(252,1),(338,1),(352,1),(355,1),(356,1),(433,1),(497,1),(534,1)}
       305:{1,3,4,6,7}:{(252,1),(253,1),(353,1),(355,1),(356,1),(357,1),(439,1)}
       306:{1,3,4,5,7}:{(253,1),(254,1),(342,1),(354,1),(356,1),(357,1),(432,1),(495,1)}
       307:{2,3,4,5}:{(256,1),(358,1),(359,1),(446,1),(465,1),(515,1)}
       308:{1,3,4,7}:{(255,1),(257,1),(360,1),(388,1),(464,1)}
       309:{2,4,6}:{(255,1),(256,1),(258,1),(360,1),(361,1)}
       310:{1,4,5}:{(256,1),(259,1),(361,1)}
       311:{2,3,5,7}:{(257,1),(258,1),(261,1),(268,1),(360,1),(363,1),(456,1),(506,1)}
       312:{1,3,5,6}:{(258,1),(259,1),(262,1),(269,1),(361,1),(363,1),(364,1),(448,1)}
       313:{1,2,5}:{(259,1),(260,1)}
       314:{1,2,3,6}:{(260,1),(264,1),(365,1),(448,1)}
       315:{1,3,6,7}:{(261,1),(262,1),(270,1),(363,1),(366,1)}
       316:{1,2,6}:{(262,1),(263,1)}
       317:{1,2,3,5,7}:{(263,1),(264,1),(265,1),(272,1),(365,1),(367,1),(368,1),(369,1),(453,1),(454,1)}
       318:{1,2,3,6}:{(265,1),(274,1),(369,1),(370,1)}
       319:{1,2,4}:{(265,1),(275,1)}
       320:{2,3,5,6}:{(267,1),(358,1),(371,1),(372,1),(382,1)}
       321:{2,4,5,7}:{(266,1),(267,1),(268,1),(294,1),(360,1),(371,1),(373,1),(456,1),(514,1),(520,1)}
       322:{1,4,5,6}:{(267,1),(269,1),(361,1),(372,1),(373,1),(513,1),(544,1)}
       323:{1,5,7}:{(268,1),(269,1),(270,1)}
       324:{1,2,5,6}:{(269,1),(271,1),(279,1),(375,1),(376,1),(453,1),(473,1)}
       325:{1,2,4,6,7}:{(270,1),(271,1),(273,1),(280,1),(296,1),(366,1),(375,1),(377,1),(396,1),(447,1),(460,1)}
       326:{1,3,6}:{(271,1),(272,1),(281,1)}
       327:{1,3,4,7}:{(272,1),(275,1),(282,1),(368,1),(378,1),(449,1),(460,1)}
       328:{1,3,7}:{(273,1),(274,1),(283,1)}
       329:{1,3,4,6}:{(274,1),(275,1),(284,1),(298,1),(370,1),(379,1),(380,1),(463,1)}
       330:{1,4,5,7}:{(276,1),(277,1),(278,1),(299,1),(381,1),(388,1),(460,1)}
       331:{2,4,5,6}:{(277,1),(279,1),(381,1),(382,1),(384,1)}
       332:{2,5,7}:{(278,1),(279,1),(280,1)}
       333:{2,3,5,6}:{(279,1),(281,1),(286,1),(376,1),(382,1),(383,1),(384,1),(386,1)}
       334:{2,3,6,7}:{(280,1),(281,1),(283,1),(287,1),(377,1),(383,1),(398,1),(506,1)}
       335:{2,3,4,6}:{(281,1),(282,1),(288,1),(378,1),(384,1),(386,1)}
       336:{2,3,4,7}:{(283,1),(284,1),(289,1),(302,1),(379,1),(387,1)}
       337:{2,3,5}:{(284,1),(290,1),(303,1),(380,1)}
       338:{1,3,5,7}:{(285,1),(286,1),(287,1),(383,1),(388,1)}
       339:{1,4,6}:{(286,1),(384,1),(388,1),(389,1)}
       340:{1,3,4,6,7}:{(287,1),(288,1),(289,1),(291,1),(385,1),(388,1),(390,1),(391,1),(468,1),(519,1),(538,1),(551,1)}
       341:{1,3,5}:{(288,1),(292,1),(386,1),(389,1)}
       342:{1,3,5,7}:{(289,1),(290,1),(293,1),(387,1),(391,1)}
       343:{1,2,5,7}:{(291,1),(292,1),(390,1),(392,1),(400,1)}
       344:{1,2,4,6}:{(293,1),(391,1),(392,1),(401,1),(468,1)}
       345:{2,3,6,7}:{(294,1),(371,1),(393,1),(398,1)}
       346:{1,4,6,7}:{(294,1),(295,1),(373,1),(393,1)}
       347:{1,2,5,6,7}:{(295,1),(296,1),(300,1),(375,1),(394,1),(395,1),(511,1),(520,1)}
       348:{1,3,6,7}:{(296,1),(297,1),(301,1),(396,1),(463,1)}
       349:{1,4,7}:{(297,1),(298,1),(302,1)}
       350:{1,4,5}:{(298,1),(303,1),(380,1)}
       351:{2,4,6,7}:{(299,1),(300,1),(381,1),(398,1)}
       352:{2,3,5,6,7}:{(300,1),(301,1),(304,1),(383,1),(395,1),(398,1),(399,1),(400,1),(467,1),(470,1),(474,1),(520,1)}
       353:{2,4,6,7}:{(301,1),(302,1),(305,1),(396,1),(400,1),(401,1)}
       354:{2,4,5,7}:{(302,1),(303,1),(306,1),(387,1),(397,1),(400,1),(401,1)}
       355:{1,4,6,7}:{(304,1),(388,1),(399,1),(402,1),(468,1)}
       356:{1,3,5,7}:{(305,1),(400,1),(402,1),(403,1),(474,1)}
       357:{1,3,4,6}:{(306,1),(391,1),(401,1),(403,1),(468,1),(518,1)}
       358:{2,3,4,6}:{(307,1),(309,1),(320,1),(404,1),(405,1),(427,1),(479,1),(490,1)}
       359:{1,3,4,5}:{(307,1),(310,1),(405,1),(406,1),(409,1),(477,1),(531,1)}
       360:{2,4,7}:{(308,1),(309,1),(311,1),(407,1)}
       361:{1,4,6}:{(309,1),(310,1),(312,1),(407,1)}
       362:{1,2,4,5}:{(310,1),(313,1),(406,1),(408,1),(409,1),(412,1)}
       363:{1,3,5,7}:{(311,1),(312,1),(315,1),(323,1),(407,1),(410,1),(481,1)}
       364:{1,2,5,6}:{(312,1),(313,1),(316,1),(408,1),(410,1),(418,1)}
       365:{1,2,3,5}:{(313,1),(314,1),(409,1),(412,1)}
       366:{1,2,6,7}:{(315,1),(316,1),(410,1),(434,1)}
       367:{1,2,3,6}:{(316,1),(317,1),(326,1),(414,1),(486,1)}
       368:{1,2,4,7}:{(317,1),(319,1),(327,1),(412,1),(414,1)}
       369:{1,2,3,7}:{(318,1),(328,1),(415,1)}
       370:{1,2,4,6}:{(318,1),(319,1),(329,1),(415,1),(416,1),(486,1)}
       371:{2,3,5,7}:{(320,1),(321,1),(345,1),(404,1),(417,1),(426,1)}
       372:{1,3,5,6}:{(320,1),(322,1),(405,1),(417,1),(418,1)}
       373:{1,4,5,7}:{(321,1),(322,1),(323,1),(346,1),(407,1),(417,1),(530,1),(534,1)}
       374:{1,2,4,5,6}:{(322,1),(324,1),(331,1),(408,1),(418,1),(419,1),(420,1),(422,1),(484,1),(490,1),(500,1),(529,1),(535,1)}
       375:{1,2,5,7}:{(323,1),(324,1),(325,1),(332,1),(421,1),(437,1)}
       376:{1,3,5,6}:{(324,1),(326,1),(333,1),(421,1),(422,1),(424,1)}
       377:{1,3,6,7}:{(325,1),(326,1),(328,1),(334,1),(421,1),(481,1)}
       378:{1,3,4,6}:{(326,1),(327,1),(335,1),(414,1),(422,1),(424,1)}
       379:{1,3,4,7}:{(328,1),(329,1),(336,1),(349,1),(415,1),(425,1)}
       380:{1,3,5}:{(329,1),(337,1),(350,1),(416,1)}
       381:{2,4,5,7}:{(330,1),(331,1),(332,1),(351,1),(426,1),(428,1)}
       382:{3,5,6}:{(331,1),(426,1),(427,1)}
       383:{2,3,5,7}:{(332,1),(333,1),(334,1),(338,1),(421,1),(426,1),(428,1)}
       384:{2,4,6}:{(333,1),(339,1),(422,1),(427,1),(428,1),(429,1)}
       385:{2,3,4,6,7}:{(334,1),(335,1),(336,1),(340,1),(353,1),(423,1),(428,1),(430,1),(431,1),(439,1),(496,1),(498,1),(526,1),(548,1)}
       386:{2,3,5}:{(335,1),(341,1),(424,1),(429,1)}
       387:{2,3,5,7}:{(336,1),(337,1),(342,1),(354,1),(425,1),(431,1)}
       388:{1,4,7}:{(338,1),(339,1),(428,1)}
       389:{1,4,5}:{(339,1),(341,1),(429,1)}
       390:{1,3,5,7}:{(340,1),(341,1),(343,1),(430,1),(432,1),(433,1),(534,1)}
       391:{1,3,6}:{(342,1),(344,1),(431,1)}
       392:{1,2,5,6}:{(343,1),(344,1),(433,1),(441,1),(552,1)}
       393:{1,3,6,7}:{(345,1),(346,1),(417,1),(434,1)}
       394:{1,2,4,6,7}:{(346,1),(347,1),(351,1),(419,1),(434,1),(435,1),(436,1),(498,1),(529,1)}
       395:{1,3,5,6,7}:{(347,1),(348,1),(352,1),(421,1),(435,1),(436,1),(437,1),(494,1),(499,1)}
       396:{1,4,6,7}:{(348,1),(349,1),(353,1),(437,1),(438,1)}
       397:{1,4,5,7}:{(349,1),(350,1),(354,1),(425,1),(437,1),(438,1)}
       398:{3,6,7}:{(351,1),(426,1)}
       399:{2,4,6,7}:{(352,1),(355,1),(428,1),(436,1),(439,1),(440,1),(496,1)}
       400:{2,5,7}:{(353,1),(356,1),(437,1),(441,1)}
       401:{2,4,6}:{(354,1),(357,1),(431,1),(438,1),(441,1)}
       402:{1,4,5,7}:{(355,1),(356,1),(440,1),(442,1),(534,1)}
       403:{1,3,5,6}:{(356,1),(357,1),(441,1),(442,1),(501,1)}
       404:{2,3,4,7}:{(358,1),(360,1),(371,1),(444,1),(464,1),(506,1),(514,1)}
       405:{1,3,4,6}:{(358,1),(359,1),(361,1),(372,1),(444,1),(445,1),(448,1),(504,1),(513,1)}
       406:{2,4,5}:{(359,1),(445,1),(446,1)}
       407:{1,4,7}:{(360,1),(361,1),(363,1)}
       408:{1,2,4,6}:{(361,1),(362,1),(364,1),(445,1),(447,1),(448,1)}
       409:{1,3,5}:{(362,1),(446,1),(448,1),(449,1)}
       410:{1,2,5,7}:{(363,1),(364,1),(366,1),(447,1),(456,1)}
       411:{1,2,3,5,6}:{(364,1),(365,1),(367,1),(376,1),(448,1),(450,1),(451,1),(453,1),(457,1),(509,1),(511,1),(541,1)}
       412:{1,2,4}:{(365,1),(449,1)}
       413:{1,2,3,6,7}:{(366,1),(367,1),(369,1),(377,1),(450,1),(452,1),(470,1),(541,1)}
       414:{1,2,4,6}:{(367,1),(368,1),(378,1),(453,1)}
       415:{1,2,4,7}:{(369,1),(370,1),(379,1),(454,1)}
       416:{1,2,5}:{(370,1),(380,1)}
       417:{1,3,5,7}:{(371,1),(372,1),(373,1),(393,1),(444,1),(456,1)}
       418:{2,5,6}:{(372,1),(445,1),(456,1)}
       419:{1,2,4,5,7}:{(373,1),(374,1),(375,1),(381,1),(394,1),(447,1),(456,1),(458,1),(460,1),(472,1),(514,1),(520,1)}
       420:{1,3,5,6}:{(374,1),(382,1),(448,1),(457,1),(458,1),(459,1),(509,1),(541,1)}
       421:{1,3,5,7}:{(375,1),(376,1),(377,1),(383,1),(460,1)}
       422:{1,4,6}:{(376,1),(384,1),(460,1),(461,1)}
       423:{1,3,4,6,7}:{(377,1),(378,1),(379,1),(385,1),(396,1),(452,1),(460,1),(462,1),(463,1),(508,1),(517,1),(541,1)}
       424:{1,3,5}:{(378,1),(386,1),(453,1),(461,1)}
       425:{1,3,5,7}:{(379,1),(380,1),(387,1),(397,1),(454,1),(463,1)}
       426:{3,5,7}:{(381,1),(382,1),(398,1),(464,1)}
       427:{3,4,6}:{(382,1),(384,1),(464,1),(465,1)}
       428:{2,4,7}:{(383,1),(384,1),(388,1),(460,1),(464,1)}
       429:{2,4,5}:{(384,1),(386,1),(389,1),(461,1),(465,1)}
       430:{2,3,5,7}:{(385,1),(386,1),(390,1),(400,1),(462,1),(466,1),(467,1),(474,1),(520,1)}
       431:{2,3,6}:{(387,1),(391,1),(401,1),(463,1)}
       432:{1,4,5,7}:{(388,1),(389,1),(390,1),(466,1),(468,1)}
       433:{1,3,5,6}:{(390,1),(391,1),(392,1),(467,1),(468,1),(544,1),(551,1)}
       434:{2,6,7}:{(393,1),(456,1)}
       435:{1,3,6,7}:{(394,1),(398,1),(458,1),(470,1),(541,1)}
       436:{1,4,6,7}:{(395,1),(399,1),(460,1),(472,1),(517,1)}
       437:{1,5,7}:{(396,1),(400,1),(473,1)}
       438:{1,4,6}:{(397,1),(401,1),(463,1),(473,1)}
       439:{3,4,6,7}:{(398,1),(399,1),(464,1),(474,1),(518,1)}
       440:{2,4,5,7}:{(399,1),(400,1),(402,1),(472,1),(474,1),(475,1),(520,1)}
       441:{2,5,6}:{(400,1),(401,1),(403,1),(473,1)}
       442:{1,4,5,6}:{(402,1),(403,1),(468,1),(475,1),(544,1)}
       443:{1,2,4,5}:{(406,1),(476,1),(477,1),(523,1),(531,1),(546,1)}
       444:{1,3,4,7}:{(404,1),(405,1),(407,1),(417,1),(478,1),(481,1),(524,1),(530,1)}
       445:{2,4,6}:{(405,1),(406,1),(418,1),(478,1),(479,1)}
       446:{2,3,5}:{(406,1),(409,1),(477,1),(479,1),(480,1)}
       447:{1,2,4,7}:{(407,1),(408,1),(410,1),(478,1),(481,1)}
       448:{1,3,6}:{(408,1),(409,1),(479,1),(481,1)}
       449:{1,3,4}:{(409,1),(412,1),(480,1)}
       450:{1,2,3,5,7}:{(410,1),(411,1),(413,1),(421,1),(481,1),(483,1),(485,1),(489,1),(528,1)}
       451:{1,2,4,6}:{(411,1),(412,1),(422,1),(482,1),(483,1),(484,1),(490,1)}
       452:{1,2,4,6,7}:{(413,1),(414,1),(415,1),(423,1),(483,1),(485,1),(486,1),(498,1),(529,1)}
       453:{1,2,5}:{(414,1),(424,1)}
       454:{1,2,5,7}:{(415,1),(416,1),(425,1),(486,1)}
       455:{1,2,5,6}:{(418,1),(476,1),(487,1),(488,1),(546,1),(552,1)}
       456:{2,5,7}:{(417,1),(418,1),(434,1),(478,1)}
       457:{2,3,5,6}:{(418,1),(420,1),(479,1),(488,1),(489,1),(490,1),(527,1),(535,1),(548,1)}
       458:{1,3,5,7}:{(419,1),(420,1),(426,1),(435,1),(481,1),(489,1),(491,1)}
       459:{1,3,4,6}:{(420,1),(422,1),(427,1),(490,1),(491,1),(492,1)}
       460:{1,4,7}:{(421,1),(422,1),(428,1)}
       461:{1,4,5}:{(422,1),(424,1),(429,1)}
       462:{1,3,5,7}:{(423,1),(424,1),(430,1),(437,1),(485,1),(493,1),(494,1)}
       463:{1,3,6}:{(425,1),(431,1),(438,1),(486,1)}
       464:{3,4,7}:{(426,1),(427,1),(428,1)}
       465:{3,4,5}:{(427,1),(429,1)}
       466:{2,4,5,7}:{(428,1),(429,1),(430,1),(432,1),(493,1),(495,1),(496,1)}
       467:{2,3,5,6}:{(430,1),(431,1),(433,1),(441,1),(494,1),(496,1),(501,1),(535,1),(548,1)}
       468:{1,4,6}:{(432,1),(433,1),(496,1)}
       469:{1,2,6,7}:{(434,1),(487,1),(497,1),(552,1)}
       470:{2,3,6,7}:{(434,1),(435,1),(489,1),(497,1),(498,1),(548,1)}
       471:{1,3,4,6,7}:{(435,1),(436,1),(439,1),(491,1),(498,1),(499,1),(533,1)}
       472:{1,4,5,7}:{(436,1),(437,1),(440,1),(499,1),(500,1)}
       473:{1,5,6}:{(437,1),(438,1),(441,1)}
       474:{3,5,7}:{(439,1),(440,1),(501,1)}
       475:{2,4,5,6}:{(440,1),(441,1),(442,1),(496,1),(500,1),(501,1),(535,1)}
       476:{1,2,4,6}:{(443,1),(445,1),(455,1),(503,1),(504,1),(513,1)}
       477:{1,3,5}:{(443,1),(446,1),(504,1),(505,1)}
       478:{2,4,7}:{(444,1),(445,1),(456,1),(506,1)}
       479:{2,3,6}:{(445,1),(446,1),(448,1),(504,1),(506,1)}
       480:{2,3,4}:{(446,1),(449,1),(505,1)}
       481:{1,3,7}:{(447,1),(448,1),(506,1)}
       482:{1,3,4,6}:{(448,1),(449,1),(451,1),(507,1),(508,1),(509,1),(541,1)}
       483:{1,2,4,7}:{(450,1),(451,1),(460,1),(508,1),(514,1)}
       484:{1,2,4,5}:{(451,1),(453,1),(461,1),(509,1),(515,1)}
       485:{1,2,5,7}:{(452,1),(453,1),(462,1),(511,1),(520,1)}
       486:{1,2,6}:{(454,1),(463,1)}
       487:{1,2,5,7}:{(455,1),(456,1),(469,1),(503,1),(512,1)}
       488:{1,3,5,6}:{(455,1),(457,1),(504,1),(512,1),(513,1),(539,1),(544,1),(551,1)}
       489:{2,3,5,7}:{(456,1),(457,1),(458,1),(470,1),(506,1),(512,1),(514,1),(520,1)}
       490:{2,4,6}:{(457,1),(459,1),(513,1),(514,1),(515,1)}
       491:{1,3,4,7}:{(458,1),(459,1),(460,1),(464,1),(514,1)}
       492:{1,3,4,5}:{(459,1),(461,1),(465,1),(509,1),(515,1)}
       493:{1,4,5,7}:{(460,1),(461,1),(462,1),(466,1),(517,1)}
       494:{1,3,5,6}:{(462,1),(463,1),(467,1),(473,1),(511,1),(517,1),(541,1)}
       495:{3,4,5,7}:{(464,1),(465,1),(466,1),(474,1),(518,1)}
       496:{2,4,6}:{(466,1),(467,1),(468,1),(517,1),(518,1)}
       497:{1,3,6,7}:{(469,1),(470,1),(512,1),(519,1),(551,1)}
       498:{2,4,6,7}:{(470,1),(471,1),(514,1),(519,1),(520,1),(543,1)}
       499:{1,3,5,7}:{(471,1),(472,1),(474,1),(520,1),(521,1)}
       500:{1,4,5,6}:{(472,1),(473,1),(475,1),(517,1),(521,1)}
       501:{3,5,6}:{(474,1),(475,1),(518,1)}
       502:{1,2,3,5}:{(477,1),(522,1),(523,1),(546,1)}
       503:{1,2,4,7}:{(476,1),(478,1),(487,1),(524,1),(530,1)}
       504:{1,3,6}:{(476,1),(477,1),(479,1),(524,1)}
       505:{1,3,4}:{(477,1),(480,1),(523,1)}
       506:{2,3,7}:{(478,1),(479,1),(481,1),(524,1)}
       507:{2,3,4,6}:{(479,1),(480,1),(482,1),(490,1),(525,1),(526,1),(527,1),(548,1)}
       508:{1,3,4,7}:{(481,1),(482,1),(483,1),(526,1),(528,1)}
       509:{1,3,5}:{(482,1),(484,1),(527,1)}
       510:{1,2,4,5,7}:{(483,1),(484,1),(485,1),(493,1),(528,1),(529,1),(532,1)}
       511:{1,2,5,6}:{(485,1),(486,1),(494,1),(529,1),(535,1)}
       512:{1,3,5,7}:{(487,1),(488,1),(489,1),(497,1),(524,1),(530,1),(534,1)}
       513:{1,4,6}:{(488,1),(490,1),(530,1),(531,1)}
       514:{2,4,7}:{(489,1),(490,1),(491,1),(530,1)}
       515:{2,4,5}:{(490,1),(492,1),(527,1),(531,1)}
       516:{1,3,4,5,7}:{(491,1),(492,1),(493,1),(495,1),(499,1),(528,1),(532,1),(533,1)}
       517:{1,4,6}:{(493,1),(494,1),(496,1)}
       518:{3,4,6}:{(495,1),(496,1),(501,1)}
       519:{1,4,6,7}:{(497,1),(498,1),(530,1),(534,1),(549,1)}
       520:{2,5,7}:{(498,1),(499,1),(534,1),(535,1)}
       521:{1,3,5,6}:{(499,1),(500,1),(501,1),(533,1),(535,1)}
       522:{1,2,3,6}:{(502,1),(504,1),(536,1),(537,1)}
       523:{1,2,4}:{(502,1),(505,1)}
       524:{1,3,7}:{(503,1),(504,1),(506,1)}
       525:{1,3,4,6}:{(504,1),(505,1),(507,1),(513,1),(537,1),(538,1),(539,1),(551,1)}
       526:{2,3,4,7}:{(506,1),(507,1),(508,1),(514,1),(538,1),(540,1)}
       527:{2,3,5}:{(507,1),(509,1),(515,1),(539,1)}
       528:{1,3,5,7}:{(508,1),(509,1),(510,1),(540,1),(541,1)}
       529:{1,2,4,6}:{(510,1),(511,1),(517,1),(541,1),(543,1)}
       530:{1,4,7}:{(512,1),(513,1),(514,1)}
       531:{1,4,5}:{(513,1),(515,1),(539,1)}
       532:{2,4,5,7}:{(514,1),(515,1),(516,1),(520,1),(540,1),(542,1),(543,1)}
       533:{1,3,4,6}:{(516,1),(517,1),(518,1),(521,1),(541,1),(543,1)}
       534:{1,5,7}:{(519,1),(520,1),(544,1)}
       535:{2,5,6}:{(520,1),(521,1),(543,1),(544,1)}
       536:{1,2,3,7}:{(522,1),(524,1),(545,1)}
       537:{1,2,4,6}:{(522,1),(523,1),(525,1),(545,1),(546,1),(552,1)}
       538:{1,3,4,7}:{(524,1),(525,1),(526,1),(530,1),(545,1),(547,1)}
       539:{1,3,5}:{(525,1),(527,1),(531,1),(546,1)}
       540:{2,3,5,7}:{(526,1),(527,1),(528,1),(532,1),(547,1),(548,1)}
       541:{1,3,6}:{(528,1),(529,1),(548,1)}
       542:{1,4,5,7}:{(530,1),(531,1),(532,1),(534,1),(547,1),(549,1)}
       543:{2,4,6}:{(532,1),(533,1),(535,1),(548,1),(549,1)}
       544:{1,5,6}:{(534,1),(535,1),(549,1)}
       545:{1,2,4,7}:{(536,1),(537,1),(538,1),(550,1)}
       546:{1,2,5}:{(537,1),(539,1)}
       547:{1,3,5,7}:{(538,1),(539,1),(540,1),(542,1),(550,1),(551,1)}
       548:{2,3,6}:{(540,1),(541,1),(543,1),(551,1)}
       549:{1,4,6}:{(542,1),(543,1),(544,1),(551,1)}
       550:{1,2,5,7}:{(545,1),(546,1),(547,1),(552,1)}
       551:{1,3,6}:{(547,1),(548,1),(549,1),(552,1)}
       552:{1,2,6}:{(550,1),(551,1)}

2144 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(99,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(66,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(110,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(66,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(63,1),(66,1),(94,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(81,1),(120,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(49,1),(100,1),(119,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(49,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(46,1),(55,1),(81,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(49,1),(80,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(113,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(93,1),(113,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(64,1),(87,1),(112,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(66,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(60,1),(70,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(71,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(66,1),(68,1),(94,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(41,1),(42,1),(102,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(42,1),(44,1),(45,1),(73,1),(78,1),(102,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(43,1),(44,1),(45,1)}
        30:{2,3,5}:{(16,1),(18,1),(44,1),(46,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(45,1)}
        32:{1,4,5}:{(18,1),(46,1),(49,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(47,1),(49,1),(50,1),(108,1),(119,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(48,1),(50,1),(122,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(55,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(52,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(48,1),(53,1),(55,1),(81,1)}
        39:{1,4,5,6}:{(24,1),(49,1),(54,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(55,1),(56,1),(86,1)}
        41:{1,2,3,5}:{(26,1),(57,1),(58,1),(88,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(57,1),(58,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(29,1),(58,1),(59,1)}
        44:{1,3,5}:{(28,1),(30,1),(58,1),(60,1)}
        45:{1,3,6}:{(29,1),(31,1),(36,1),(59,1)}
        46:{2,4,5}:{(30,1),(32,1),(60,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(61,1),(64,1),(65,1),(71,1),(97,1),(112,1)}
        48:{2,3,6,7}:{(31,1),(34,1),(38,1),(62,1),(65,1),(96,1),(116,1)}
        49:{1,4,6}:{(32,1),(33,1),(64,1),(66,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1),(117,1),(124,1)}
        51:{1,3,5,6,7}:{(40,1),(67,1),(68,1),(96,1)}
        52:{1,5,6}:{(36,1),(37,1),(70,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(62,1),(70,1),(93,1)}
        54:{2,4,5,6}:{(37,1),(39,1),(64,1),(69,1),(71,1),(72,1),(97,1)}
        55:{2,5,7}:{(37,1),(38,1),(40,1),(70,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(66,1),(68,1),(72,1),(117,1)}
        57:{1,2,4}:{(41,1),(73,1)}
        58:{1,2,5}:{(42,1),(44,1)}
        59:{1,2,6}:{(43,1),(45,1)}
        60:{1,4,5}:{(44,1),(46,1),(78,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(52,1),(75,1),(78,1),(79,1),(102,1)}
        62:{1,3,6,7}:{(45,1),(48,1),(53,1),(76,1),(79,1)}
        63:{3,4,5}:{(46,1),(80,1)}
        64:{2,4,6}:{(46,1),(47,1),(49,1),(78,1),(80,1),(81,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(55,1),(79,1),(81,1),(86,1),(109,1),(120,1)}
        66:{1,4,7}:{(49,1),(50,1),(81,1)}
        67:{2,5,6,7}:{(51,1),(55,1),(82,1),(83,1)}
        68:{1,4,6,7}:{(51,1),(56,1),(83,1),(122,1)}
        69:{1,4,5,6}:{(52,1),(54,1),(78,1),(84,1),(85,1)}
        70:{1,5,7}:{(52,1),(53,1),(55,1)}
        71:{3,5,6}:{(54,1),(80,1),(86,1)}
        72:{2,4,5,7}:{(54,1),(55,1),(56,1),(81,1),(83,1),(85,1),(86,1),(109,1)}
        73:{1,3,4}:{(57,1),(87,1),(88,1)}
        74:{1,2,4,5}:{(57,1),(58,1),(60,1),(88,1),(89,1),(91,1)}
        75:{1,2,5,6}:{(58,1),(59,1),(61,1),(89,1),(90,1),(97,1)}
        76:{1,2,6,7}:{(59,1),(62,1),(90,1),(116,1)}
        77:{1,3,4,5}:{(60,1),(63,1),(88,1),(91,1),(92,1)}
        78:{1,4,6}:{(60,1),(61,1),(64,1),(93,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(65,1),(70,1),(90,1),(93,1),(113,1)}
        80:{3,4,6}:{(63,1),(64,1),(71,1),(94,1)}
        81:{2,4,7}:{(64,1),(65,1),(66,1),(93,1),(94,1)}
        82:{1,5,6,7}:{(67,1),(70,1),(95,1)}
        83:{2,4,6,7}:{(67,1),(68,1),(72,1),(95,1),(96,1),(116,1)}
        84:{1,3,5,6}:{(69,1),(71,1),(92,1),(97,1),(98,1)}
        85:{1,4,5,7}:{(69,1),(70,1),(72,1),(93,1),(95,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(94,1),(96,1)}
        87:{2,3,4}:{(73,1),(100,1),(101,1)}
        88:{1,3,5}:{(73,1),(74,1),(101,1),(102,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(78,1),(102,1),(103,1),(105,1)}
        90:{1,2,5,7}:{(75,1),(76,1),(79,1),(103,1),(109,1)}
        91:{2,4,5}:{(77,1),(101,1),(104,1),(105,1)}
        92:{1,3,4,6}:{(77,1),(78,1),(80,1),(84,1),(102,1),(105,1),(106,1)}
        93:{1,4,7}:{(78,1),(79,1),(81,1)}
        94:{3,4,7}:{(80,1),(81,1),(86,1)}
        95:{1,4,6,7}:{(82,1),(83,1),(85,1),(107,1)}
        96:{3,6,7}:{(83,1),(86,1)}
        97:{2,5,6}:{(84,1),(105,1),(108,1),(109,1)}
        98:{1,3,5,7}:{(84,1),(85,1),(86,1),(106,1),(107,1),(109,1)}
        99:{1,2,3}:{(110,1)}
       100:{1,3,4}:{(87,1),(110,1),(111,1)}
       101:{2,3,5}:{(87,1),(88,1),(91,1),(111,1),(112,1)}
       102:{1,3,6}:{(88,1),(89,1),(112,1),(113,1)}
       103:{1,2,4,7}:{(89,1),(90,1),(93,1),(113,1),(115,1)}
       104:{1,4,5}:{(91,1),(111,1),(114,1)}
       105:{2,4,6}:{(91,1),(92,1),(97,1),(112,1),(114,1),(115,1)}
       106:{1,3,4,7}:{(92,1),(93,1),(94,1),(98,1),(113,1),(115,1)}
       107:{1,3,6,7}:{(95,1),(96,1),(98,1),(116,1)}
       108:{1,5,6}:{(97,1),(114,1),(117,1)}
       109:{2,5,7}:{(97,1),(98,1),(115,1),(116,1),(117,1)}
       110:{1,2,4}:{(99,1),(100,1),(118,1)}
       111:{1,3,5}:{(100,1),(101,1),(104,1),(118,1),(119,1)}
       112:{2,3,6}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(120,1)}
       114:{1,4,6}:{(104,1),(105,1),(108,1),(119,1),(121,1)}
       115:{2,4,7}:{(105,1),(106,1),(109,1),(120,1),(121,1)}
       116:{2,6,7}:{(107,1),(109,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(121,1),(122,1)}
       118:{1,2,5}:{(110,1),(111,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       120:{2,3,7}:{(112,1),(113,1),(115,1),(124,1)}
       121:{1,4,7}:{(114,1),(115,1),(117,1),(124,1)}
       122:{1,6,7}:{(116,1),(117,1)}
       123:{1,2,6}:{(118,1),(119,1),(125,1)}
       124:{1,3,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2145 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(39,1),(47,1),(77,1),(85,1),(87,1),(90,1),(140,1),(181,1),(185,1),(220,1),(221,1),(223,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(102,1),(115,1),(157,1),(164,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(62,1),(66,1),(103,1),(112,1),(157,1),(163,1),(203,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(59,1),(105,1),(111,1),(205,1),(234,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(40,1),(76,1),(130,1),(137,1),(182,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(41,1),(90,1),(140,1),(185,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(133,1),(186,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(220,1),(222,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(37,1),(82,1),(85,1),(86,1),(87,1),(140,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(64,1),(100,1),(116,1),(156,1),(164,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(53,1),(55,1),(62,1),(100,1),(108,1),(164,1),(165,1),(205,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(162,1),(203,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(111,1),(205,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(203,1),(206,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(112,1),(113,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(59,1),(120,1),(233,1),(234,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(59,1),(69,1),(111,1),(115,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(33,1),(42,1),(74,1),(88,1),(137,1),(144,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(33,1),(75,1),(178,1),(185,1),(216,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(32,1),(34,1),(35,1),(135,1),(185,1),(188,1)}
        21:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1),(82,1),(86,1),(142,1),(189,1),(222,1)}
        22:{1,4,5,7}:{(11,1),(34,1),(39,1),(40,1),(130,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(35,1),(40,1),(41,1),(43,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(41,1),(42,1),(82,1),(140,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(40,1),(43,1),(44,1),(78,1),(83,1),(136,1),(146,1),(186,1),(191,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(45,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(42,1),(45,1),(46,1),(88,1),(92,1)}
        28:{2,4,5}:{(15,1),(16,1),(37,1),(47,1),(85,1),(142,1)}
        29:{1,4,6}:{(16,1),(17,1),(45,1),(47,1)}
        30:{1,2,5,6}:{(17,1),(46,1),(48,1),(85,1),(140,1)}
        31:{1,2,4,5,7}:{(19,1),(49,1),(50,1),(51,1),(97,1),(100,1),(116,1),(154,1),(163,1),(169,1),(196,1),(198,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(162,1),(169,1)}
        33:{1,3,6,7}:{(19,1),(50,1),(53,1),(197,1),(205,1)}
        34:{2,4,5,7}:{(20,1),(22,1),(51,1),(54,1),(55,1),(62,1),(100,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(106,1),(205,1),(206,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(57,1),(58,1),(113,1),(167,1),(206,1)}
        37:{2,3,5}:{(21,1),(28,1),(59,1),(208,1),(234,1)}
        38:{1,3,4,6}:{(21,1),(29,1),(58,1),(59,1),(60,1),(69,1),(105,1),(111,1),(120,1),(161,1),(204,1)}
        39:{1,4,5,6}:{(22,1),(54,1),(61,1),(156,1),(162,1),(209,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(55,1),(61,1),(62,1)}
        41:{2,4,6,7}:{(23,1),(24,1),(26,1),(62,1),(63,1),(65,1)}
        42:{1,3,6,7}:{(24,1),(27,1),(63,1),(64,1),(111,1)}
        43:{1,3,4,6}:{(25,1),(61,1),(65,1),(106,1),(111,1),(162,1),(205,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(62,1),(65,1),(66,1),(112,1),(167,1),(208,1)}
        45:{1,4,7}:{(26,1),(27,1),(29,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(64,1),(67,1),(112,1)}
        47:{1,4,5}:{(28,1),(29,1),(59,1),(161,1)}
        48:{1,2,4,6}:{(29,1),(30,1),(60,1),(67,1),(68,1),(69,1)}
        49:{1,2,4,5,6}:{(31,1),(70,1),(73,1),(122,1),(129,1),(143,1),(173,1),(178,1),(185,1),(190,1),(210,1),(211,1),(216,1),(223,1),(244,1)}
        50:{1,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(72,1),(186,1),(215,1)}
        51:{1,4,5,7}:{(32,1),(34,1),(73,1),(74,1),(88,1)}
        52:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(71,1),(74,1),(75,1),(125,1)}
        53:{2,3,6,7}:{(33,1),(72,1),(75,1),(76,1),(175,1),(216,1)}
        54:{2,4,5,6}:{(34,1),(39,1),(73,1),(79,1),(87,1),(129,1),(135,1),(185,1),(223,1)}
        55:{3,5,7}:{(34,1),(35,1),(79,1)}
        56:{2,3,4,6,7}:{(35,1),(36,1),(41,1),(75,1),(80,1),(81,1),(82,1),(124,1),(135,1),(139,1),(175,1),(188,1),(189,1),(222,1),(239,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(44,1),(82,1),(83,1),(186,1)}
        58:{1,3,4,7}:{(36,1),(38,1),(45,1),(83,1),(84,1),(92,1),(133,1),(184,1)}
        59:{1,3,5}:{(37,1),(38,1),(47,1),(85,1),(221,1)}
        60:{2,4,6}:{(38,1),(84,1),(85,1),(86,1),(140,1),(142,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(43,1),(79,1),(87,1),(191,1)}
        62:{2,5,7}:{(40,1),(41,1),(87,1),(88,1)}
        63:{1,4,6,7}:{(41,1),(42,1),(45,1),(88,1),(90,1)}
        64:{1,2,6,7}:{(42,1),(46,1),(140,1)}
        65:{2,4,6}:{(43,1),(44,1),(82,1),(87,1),(90,1),(140,1)}
        66:{1,4,5,7}:{(44,1),(45,1),(47,1),(83,1),(88,1),(90,1),(184,1),(221,1)}
        67:{1,2,4,7}:{(45,1),(46,1),(48,1),(84,1),(92,1)}
        68:{1,2,4,5}:{(47,1),(48,1),(85,1),(93,1),(142,1)}
        69:{1,3,6}:{(48,1),(86,1),(92,1),(93,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(94,1),(95,1),(192,1),(197,1),(205,1),(225,1),(234,1)}
        71:{1,3,4,7}:{(50,1),(94,1),(97,1),(169,1),(206,1)}
        72:{2,3,5,7}:{(50,1),(53,1),(95,1),(97,1),(98,1),(100,1),(198,1),(199,1)}
        73:{1,4,5,6}:{(51,1),(54,1),(99,1),(115,1),(162,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(55,1),(99,1),(100,1)}
        75:{2,4,6,7}:{(52,1),(53,1),(97,1),(100,1),(101,1),(153,1)}
        76:{1,3,6,7}:{(53,1),(98,1),(101,1),(102,1),(197,1)}
        77:{1,2,4,6}:{(60,1),(103,1),(104,1),(105,1),(159,1),(161,1),(204,1)}
        78:{3,4,5,7}:{(55,1),(106,1),(107,1),(206,1),(234,1)}
        79:{3,5,6}:{(54,1),(55,1),(106,1),(205,1),(234,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(62,1),(100,1),(107,1),(108,1),(109,1),(208,1),(234,1),(243,1)}
        81:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(101,1),(109,1),(110,1),(111,1),(117,1),(152,1),(158,1),(162,1),(169,1),(170,1),(197,1),(203,1),(204,1),(205,1),(206,1),(232,1),(242,1)}
        82:{2,3,6}:{(57,1),(65,1),(111,1),(205,1)}
        83:{1,3,5,7}:{(57,1),(58,1),(59,1),(66,1),(111,1),(112,1)}
        84:{2,4,7}:{(58,1),(60,1),(112,1),(113,1)}
        85:{2,5}:{(59,1),(60,1)}
        86:{2,3,6}:{(60,1),(69,1),(105,1),(113,1),(114,1)}
        87:{2,5,6}:{(61,1),(62,1),(65,1),(115,1),(208,1)}
        88:{1,5,7}:{(62,1),(63,1),(115,1)}
        89:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(110,1),(116,1),(117,1),(118,1),(169,1),(196,1),(228,1),(242,1)}
        90:{1,4,6}:{(65,1),(66,1),(111,1),(115,1)}
        91:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(116,1),(118,1),(119,1),(163,1),(167,1),(169,1),(208,1),(209,1)}
        92:{1,3,7}:{(67,1),(69,1),(113,1)}
        93:{1,3,5}:{(68,1),(69,1),(114,1),(120,1)}
        94:{1,3,4,6}:{(70,1),(71,1),(121,1),(122,1),(190,1),(222,1)}
        95:{2,3,5,6}:{(70,1),(72,1),(122,1),(123,1),(129,1),(171,1),(175,1),(211,1),(212,1),(216,1)}
        96:{1,3,4,5,7}:{(71,1),(74,1),(78,1),(121,1),(125,1),(126,1),(136,1),(176,1),(186,1),(219,1),(240,1)}
        97:{2,4,7}:{(71,1),(72,1),(122,1),(127,1)}
        98:{1,3,5,7}:{(72,1),(76,1),(123,1),(127,1),(128,1),(130,1),(180,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(79,1),(125,1),(129,1),(240,1)}
       100:{2,5,7}:{(74,1),(75,1),(129,1),(130,1)}
       101:{1,4,6,7}:{(75,1),(76,1),(127,1),(130,1),(178,1)}
       102:{1,2,6,7}:{(76,1),(128,1),(216,1)}
       103:{1,2,4,7}:{(77,1),(84,1),(132,1),(133,1),(184,1)}
       104:{1,2,5}:{(77,1),(85,1),(134,1),(221,1)}
       105:{1,3,6}:{(77,1),(86,1),(133,1),(134,1)}
       106:{3,4,6}:{(78,1),(79,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(188,1),(223,1)}
       108:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(129,1),(135,1),(137,1),(175,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(88,1),(130,1),(136,1),(137,1),(138,1),(186,1),(191,1),(221,1),(240,1),(244,1)}
       110:{2,4,6,7}:{(81,1),(84,1),(138,1),(139,1),(140,1),(177,1),(185,1),(188,1),(189,1),(216,1),(239,1)}
       111:{1,3,6}:{(82,1),(83,1),(90,1),(140,1)}
       112:{2,5,7}:{(83,1),(84,1),(85,1),(140,1)}
       113:{2,3,7}:{(84,1),(86,1),(92,1),(133,1)}
       114:{2,3,5}:{(85,1),(86,1),(93,1),(134,1),(142,1)}
       115:{1,5,6}:{(87,1),(88,1),(90,1),(221,1)}
       116:{1,2,5,7}:{(88,1),(89,1),(138,1),(143,1),(144,1),(244,1)}
       117:{1,3,6,7}:{(89,1),(92,1),(139,1),(144,1),(145,1),(215,1),(237,1)}
       118:{1,2,4,6}:{(90,1),(91,1),(140,1),(143,1),(145,1),(185,1),(189,1),(190,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(93,1),(141,1),(145,1),(146,1),(186,1),(191,1)}
       120:{1,3,4}:{(93,1),(142,1)}
       121:{1,3,4,5}:{(94,1),(148,1),(192,1),(209,1),(227,1),(234,1)}
       122:{2,4,6}:{(94,1),(95,1),(97,1),(148,1),(149,1)}
       123:{1,3,5,6}:{(95,1),(98,1),(149,1),(150,1),(156,1),(192,1),(195,1),(197,1)}
       124:{2,3,4,7}:{(97,1),(147,1),(151,1),(152,1),(199,1),(206,1),(231,1)}
       125:{1,3,4,6}:{(96,1),(99,1),(106,1),(153,1),(162,1),(197,1),(205,1)}
       126:{2,4,5,7}:{(96,1),(97,1),(100,1),(148,1),(151,1),(153,1),(154,1),(198,1),(231,1),(243,1)}
       127:{1,4,7}:{(97,1),(98,1),(149,1)}
       128:{1,2,5,7}:{(98,1),(102,1),(150,1),(155,1),(198,1)}
       129:{2,5,6}:{(99,1),(100,1),(153,1),(156,1),(243,1)}
       130:{1,5,7}:{(100,1),(101,1),(156,1)}
       131:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(110,1),(155,1),(157,1),(158,1),(159,1),(200,1),(203,1),(204,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(112,1),(159,1),(160,1)}
       133:{1,3,7}:{(103,1),(105,1),(113,1)}
       134:{1,3,5}:{(104,1),(105,1),(114,1),(161,1)}
       135:{2,4,6}:{(106,1),(107,1),(108,1),(162,1)}
       136:{1,4,5,7}:{(107,1),(109,1),(162,1),(163,1),(169,1),(203,1),(209,1),(233,1)}
       137:{1,3,5,6}:{(108,1),(109,1),(111,1),(115,1),(156,1),(162,1),(164,1),(197,1),(205,1)}
       138:{2,5,7}:{(109,1),(110,1),(164,1),(208,1),(243,1)}
       139:{2,3,6,7}:{(110,1),(113,1),(117,1),(158,1),(165,1),(166,1),(199,1),(205,1),(230,1)}
       140:{2,6}:{(111,1),(112,1)}
       141:{2,3,5,7}:{(112,1),(113,1),(114,1),(119,1),(160,1),(166,1),(167,1),(208,1)}
       142:{2,4}:{(114,1),(120,1),(161,1)}
       143:{1,2,5,6}:{(115,1),(116,1),(118,1),(164,1),(168,1),(208,1),(228,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(165,1),(168,1),(169,1)}
       145:{1,3,6}:{(118,1),(119,1),(166,1),(205,1)}
       146:{1,3,4,7}:{(119,1),(120,1),(167,1),(169,1),(170,1),(206,1)}
       147:{2,3,4,6}:{(122,1),(124,1),(171,1),(172,1),(175,1),(212,1),(222,1),(236,1),(239,1)}
       148:{2,4,5}:{(121,1),(122,1),(171,1),(173,1),(211,1),(236,1)}
       149:{1,4,6}:{(122,1),(123,1),(127,1),(173,1)}
       150:{1,2,5,6}:{(123,1),(128,1),(174,1),(211,1),(216,1)}
       151:{2,3,5,7}:{(124,1),(126,1),(171,1),(175,1),(176,1),(186,1)}
       152:{1,3,4,7}:{(124,1),(127,1),(172,1),(176,1),(177,1),(180,1),(215,1),(238,1)}
       153:{2,4,6}:{(125,1),(126,1),(129,1),(175,1),(178,1),(216,1)}
       154:{1,4,5,7}:{(126,1),(127,1),(130,1),(173,1),(176,1),(178,1),(238,1),(244,1)}
       155:{1,2,4,7}:{(127,1),(128,1),(174,1),(177,1),(180,1)}
       156:{1,5,6}:{(129,1),(130,1),(178,1),(244,1)}
       157:{1,2,5,7}:{(130,1),(131,1),(138,1),(181,1),(182,1),(221,1)}
       158:{1,3,6,7}:{(131,1),(133,1),(139,1),(180,1),(182,1),(183,1),(218,1)}
       159:{1,2,6}:{(132,1),(140,1),(183,1)}
       160:{1,3,5,7}:{(132,1),(133,1),(134,1),(141,1),(183,1),(184,1),(221,1)}
       161:{1,4}:{(134,1),(142,1)}
       162:{1,4,6}:{(135,1),(136,1),(137,1),(185,1)}
       163:{2,4,5,7}:{(136,1),(138,1),(185,1),(186,1),(188,1),(223,1)}
       164:{2,5,6}:{(137,1),(138,1),(140,1),(185,1),(216,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(144,1),(182,1),(186,1),(187,1),(188,1)}
       166:{2,3,6}:{(140,1),(141,1),(145,1),(183,1),(189,1)}
       167:{2,4,7}:{(141,1),(142,1),(146,1),(184,1),(189,1)}
       168:{1,3,5,6}:{(143,1),(144,1),(145,1),(187,1),(190,1),(191,1),(237,1),(244,1)}
       169:{1,4,7}:{(144,1),(188,1),(190,1)}
       170:{1,3,4,6}:{(145,1),(146,1),(189,1),(190,1),(191,1),(222,1)}
       171:{2,3,5}:{(147,1),(148,1),(192,1),(234,1),(243,1)}
       172:{1,3,4,6}:{(147,1),(149,1),(152,1),(192,1),(193,1),(195,1),(197,1),(225,1),(227,1),(241,1),(242,1)}
       173:{1,4,5}:{(148,1),(149,1),(192,1),(241,1)}
       174:{1,2,4,6}:{(149,1),(150,1),(155,1),(193,1),(194,1),(195,1)}
       175:{2,3,6}:{(151,1),(153,1),(197,1),(205,1)}
       176:{1,3,5,7}:{(151,1),(152,1),(154,1),(192,1),(197,1),(198,1)}
       177:{2,4,7}:{(152,1),(193,1),(198,1),(199,1)}
       178:{1,4,6}:{(153,1),(154,1),(156,1),(197,1)}
       179:{1,2,4,5,7}:{(154,1),(155,1),(157,1),(163,1),(194,1),(198,1),(200,1),(201,1),(203,1),(231,1),(233,1),(243,1)}
       180:{1,3,7}:{(155,1),(195,1),(199,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(159,1),(164,1),(200,1),(202,1),(243,1)}
       182:{1,3,5,7}:{(157,1),(158,1),(165,1),(202,1),(203,1)}
       183:{1,3,6}:{(159,1),(160,1),(166,1),(204,1)}
       184:{1,4,7}:{(160,1),(161,1),(167,1),(204,1)}
       185:{2,4,6}:{(162,1),(163,1),(164,1),(205,1)}
       186:{3,5,7}:{(163,1),(205,1),(206,1),(234,1)}
       187:{2,3,5,6}:{(164,1),(165,1),(166,1),(168,1),(202,1),(205,1),(207,1),(208,1),(230,1),(234,1),(243,1)}
       188:{2,4,7}:{(165,1),(169,1),(203,1),(206,1),(207,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(204,1),(208,1)}
       190:{1,4,6}:{(168,1),(169,1),(207,1),(209,1)}
       191:{1,3,5}:{(170,1),(208,1),(209,1),(234,1)}
       192:{1,3,5}:{(171,1),(172,1),(173,1),(211,1),(244,1)}
       193:{2,4,6}:{(172,1),(177,1),(211,1),(212,1),(216,1),(236,1)}
       194:{1,2,4,5}:{(173,1),(174,1),(211,1),(213,1),(236,1)}
       195:{1,3,6}:{(174,1),(180,1),(212,1),(213,1)}
       196:{1,2,4,7}:{(177,1),(210,1),(214,1),(215,1),(238,1)}
       197:{1,3,6}:{(175,1),(176,1),(178,1),(216,1)}
       198:{2,5,7}:{(176,1),(177,1),(211,1),(216,1)}
       199:{2,3,7}:{(177,1),(180,1),(212,1),(215,1)}
       200:{1,2,4,6}:{(178,1),(179,1),(181,1),(185,1),(216,1),(218,1),(220,1),(239,1)}
       201:{1,3,5,7}:{(179,1),(180,1),(186,1),(213,1),(217,1),(218,1),(219,1),(240,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(183,1),(187,1),(218,1),(220,1),(221,1),(240,1)}
       203:{1,4,7}:{(182,1),(188,1),(220,1)}
       204:{1,4,6}:{(183,1),(184,1),(189,1),(221,1)}
       205:{3,6}:{(185,1),(186,1)}
       206:{3,4,7}:{(186,1),(188,1),(222,1)}
       207:{2,4,6}:{(187,1),(188,1),(190,1),(220,1),(222,1),(223,1)}
       208:{2,5}:{(189,1),(191,1),(221,1)}
       209:{1,4,5}:{(190,1),(191,1),(223,1),(244,1)}
       210:{1,2,4,6}:{(193,1),(196,1),(224,1),(225,1),(228,1),(241,1),(242,1)}
       211:{2,5}:{(192,1),(193,1)}
       212:{2,3,6}:{(193,1),(195,1),(199,1),(225,1),(226,1)}
       213:{1,3,5}:{(194,1),(195,1),(226,1),(227,1)}
       214:{1,2,5,7}:{(196,1),(198,1),(224,1),(228,1),(229,1)}
       215:{1,3,7}:{(196,1),(199,1),(225,1)}
       216:{2,6}:{(197,1),(198,1)}
       217:{2,3,5,7}:{(198,1),(199,1),(201,1),(226,1),(229,1),(230,1),(231,1),(243,1)}
       218:{1,3,6}:{(200,1),(201,1),(205,1),(230,1)}
       219:{1,3,4,7}:{(201,1),(203,1),(206,1),(227,1),(231,1),(232,1)}
       220:{1,4,6}:{(202,1),(203,1),(207,1),(233,1)}
       221:{1,5}:{(204,1),(208,1)}
       222:{3,4,6}:{(205,1),(206,1),(207,1),(234,1)}
       223:{2,4,5}:{(207,1),(208,1),(209,1),(233,1),(234,1),(243,1)}
       224:{1,2,5}:{(210,1),(211,1),(235,1),(244,1)}
       225:{1,3,6}:{(210,1),(212,1),(215,1),(235,1)}
       226:{2,3,5}:{(211,1),(212,1),(213,1),(235,1),(236,1)}
       227:{1,3,4}:{(213,1),(236,1)}
       228:{1,2,6}:{(214,1),(216,1),(237,1)}
       229:{1,3,5,7}:{(214,1),(215,1),(217,1),(235,1),(237,1),(238,1),(244,1)}
       230:{2,3,6}:{(216,1),(217,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(217,1),(219,1),(236,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(222,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(223,1),(240,1)}
       234:{3,5}:{(222,1),(223,1)}
       235:{1,3,5}:{(224,1),(225,1),(226,1),(241,1)}
       236:{2,4}:{(226,1),(227,1),(241,1)}
       237:{1,3,6}:{(228,1),(229,1),(230,1),(242,1)}
       238:{1,4,7}:{(229,1),(231,1),(241,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,4}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2146 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(16,1),(23,1),(52,1),(58,1),(91,1),(92,1),(94,1),(101,1),(126,1),(162,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(11,1),(27,1),(31,1),(42,1),(65,1),(70,1),(72,1),(78,1),(80,1),(106,1),(115,1),(116,1),(122,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(37,1),(76,1),(113,1),(121,1),(142,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(37,1),(76,1),(77,1)}
         4:{1,2,4,6,7}:{(6,1),(11,1),(12,1),(41,1),(42,1),(78,1),(120,1),(143,1),(144,1),(145,1),(152,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(48,1),(89,1),(92,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(50,1),(52,1),(101,1),(126,1),(135,1),(136,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(53,1),(98,1),(100,1),(125,1),(139,1),(155,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(52,1),(90,1)}
         9:{1,3,5,6,7}:{(3,1),(14,1),(21,1),(22,1),(56,1),(57,1),(98,1),(99,1)}
        10:{2,4,6,7}:{(3,1),(15,1),(20,1),(22,1),(23,1)}
        11:{1,3,6,7}:{(4,1),(16,1),(25,1),(60,1),(127,1),(157,1),(162,1)}
        12:{1,2,5,7}:{(4,1),(17,1),(24,1),(25,1),(98,1),(138,1),(155,1)}
        13:{1,2,4,6,7}:{(6,1),(27,1),(28,1),(64,1),(65,1),(78,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(30,1),(31,1),(70,1),(112,1),(115,1)}
        15:{2,4,6}:{(5,1),(8,1),(31,1),(32,1)}
        16:{2,3,6,7}:{(6,1),(11,1),(27,1),(33,1),(70,1),(81,1),(107,1),(120,1),(151,1)}
        17:{2,5,7}:{(6,1),(7,1),(30,1),(121,1),(142,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(31,1),(34,1),(42,1),(65,1),(79,1),(105,1)}
        19:{3,4,5,7}:{(8,1),(32,1),(37,1),(72,1),(113,1)}
        20:{2,4,5,7}:{(10,1),(29,1),(36,1),(37,1),(76,1),(152,1)}
        21:{2,5,6,7}:{(9,1),(30,1),(38,1),(76,1),(120,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(31,1),(36,1),(38,1)}
        23:{3,4,6,7}:{(10,1),(32,1),(37,1)}
        24:{1,2,5,6}:{(12,1),(30,1),(40,1),(41,1),(112,1),(121,1),(144,1),(148,1),(164,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(33,1),(40,1),(42,1)}
        26:{1,2,4,5,7}:{(12,1),(34,1),(41,1),(42,1),(43,1),(74,1),(79,1),(82,1),(117,1),(121,1),(145,1),(152,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(16,1),(45,1),(85,1),(102,1),(141,1),(162,1)}
        28:{1,2,5,7}:{(13,1),(17,1),(44,1),(45,1),(98,1),(138,1),(139,1)}
        29:{2,4,5,6}:{(15,1),(20,1),(47,1),(48,1),(89,1),(90,1),(159,1)}
        30:{2,5,6}:{(14,1),(17,1),(50,1),(135,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(50,1)}
        32:{3,4,6}:{(15,1),(19,1),(48,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(25,1),(45,1),(49,1),(52,1),(53,1),(138,1),(162,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(50,1),(52,1),(53,1),(90,1)}
        35:{1,3,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(56,1),(61,1),(86,1),(95,1),(96,1),(100,1),(125,1),(130,1),(137,1),(158,1),(162,1),(171,1)}
        36:{1,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(98,1),(137,1)}
        37:{3,5,7}:{(20,1),(23,1),(48,1),(162,1)}
        38:{2,4,6,7}:{(21,1),(22,1),(50,1),(55,1),(57,1)}
        39:{1,3,4,6,7}:{(22,1),(23,1),(51,1),(56,1),(57,1),(58,1),(96,1),(99,1),(137,1),(162,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(49,1),(59,1),(60,1),(100,1),(127,1),(155,1),(170,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(50,1),(59,1),(60,1),(93,1),(101,1),(135,1),(159,1)}
        42:{1,4,7}:{(25,1),(52,1),(59,1)}
        43:{1,3,5,7}:{(26,1),(53,1),(60,1),(61,1),(62,1),(100,1),(157,1),(162,1),(170,1),(171,1)}
        44:{1,2,5,6}:{(28,1),(30,1),(63,1),(64,1),(112,1),(123,1),(142,1),(148,1),(153,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(33,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(34,1),(64,1),(65,1),(66,1),(74,1),(105,1),(108,1),(117,1),(124,1),(142,1),(152,1),(153,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(31,1),(36,1),(67,1),(68,1),(79,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(32,1),(37,1),(113,1),(167,1)}
        49:{2,3,5,6}:{(30,1),(33,1),(40,1),(63,1),(69,1),(70,1),(81,1),(107,1),(113,1),(121,1),(142,1),(148,1),(167,1),(168,1)}
        50:{2,4,6}:{(30,1),(31,1),(34,1),(70,1)}
        51:{1,3,4,6}:{(31,1),(32,1),(35,1),(68,1),(70,1),(71,1),(110,1),(115,1),(147,1),(167,1)}
        52:{2,4,7}:{(33,1),(42,1),(65,1),(69,1),(72,1)}
        53:{3,5,7}:{(34,1),(70,1),(72,1),(113,1)}
        54:{2,4,5,7}:{(35,1),(71,1),(73,1),(74,1),(76,1),(82,1),(108,1),(117,1),(118,1),(121,1),(142,1),(146,1),(152,1),(166,1)}
        55:{2,4,5,7}:{(36,1),(38,1),(67,1),(75,1),(76,1),(118,1)}
        56:{1,3,5,7}:{(36,1),(37,1),(39,1),(68,1),(75,1),(76,1)}
        57:{3,6,7}:{(38,1),(70,1),(75,1)}
        58:{2,4,6,7}:{(39,1),(71,1),(76,1),(77,1),(78,1),(118,1),(120,1),(152,1)}
        59:{1,4,6}:{(40,1),(42,1),(69,1),(79,1),(173,1)}
        60:{1,3,6}:{(41,1),(43,1),(70,1),(81,1),(167,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(72,1),(80,1),(82,1),(173,1),(174,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(117,1),(121,1),(151,1),(168,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(49,1),(84,1),(85,1),(102,1),(125,1),(139,1),(163,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(50,1),(84,1),(85,1),(93,1),(126,1),(135,1),(159,1)}
        65:{1,4,7}:{(45,1),(52,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(53,1),(85,1),(86,1),(87,1),(125,1),(141,1),(162,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(50,1),(55,1),(88,1),(89,1),(90,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(51,1),(56,1),(88,1),(89,1),(100,1),(125,1)}
        69:{2,4,6}:{(49,1),(52,1),(59,1),(84,1),(90,1),(91,1),(172,1)}
        70:{3,6}:{(50,1),(53,1)}
        71:{2,4,6}:{(51,1),(54,1),(89,1),(92,1),(93,1),(135,1)}
        72:{3,4,7}:{(52,1),(53,1),(91,1),(162,1)}
        73:{2,3,5,7}:{(53,1),(54,1),(92,1),(94,1),(95,1),(133,1),(162,1),(171,1)}
        74:{1,4,5,7}:{(54,1),(93,1),(95,1),(98,1),(103,1),(128,1),(137,1),(139,1),(155,1),(158,1)}
        75:{3,5,7}:{(55,1),(57,1),(88,1),(96,1)}
        76:{2,5,7}:{(56,1),(58,1),(89,1),(98,1)}
        77:{2,3,6,7}:{(57,1),(58,1),(92,1),(97,1),(99,1),(162,1)}
        78:{1,4,6,7}:{(58,1),(93,1),(98,1),(99,1),(137,1)}
        79:{1,4,5}:{(59,1),(90,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(91,1),(100,1),(101,1)}
        81:{2,3,6}:{(60,1),(62,1),(101,1),(102,1),(135,1)}
        82:{2,4,7}:{(61,1),(62,1),(101,1),(103,1),(172,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(65,1),(69,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(70,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(72,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(117,1),(142,1),(151,1),(168,1)}
        88:{3,5,6}:{(67,1),(70,1),(75,1),(110,1),(113,1)}
        89:{2,5,6}:{(68,1),(71,1),(76,1),(112,1),(121,1),(142,1)}
        90:{2,4,5}:{(69,1),(79,1),(105,1),(113,1),(121,1),(142,1)}
        91:{3,4,6}:{(69,1),(70,1),(72,1),(113,1),(167,1),(174,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(167,1)}
        93:{1,4,6}:{(71,1),(74,1),(112,1),(115,1)}
        94:{2,3,4,7}:{(72,1),(73,1),(82,1),(108,1),(114,1),(116,1),(118,1),(151,1),(174,1)}
        95:{1,3,5,7}:{(73,1),(74,1),(115,1),(116,1),(117,1),(149,1)}
        96:{3,4,7}:{(75,1),(110,1),(118,1)}
        97:{2,3,5,7}:{(75,1),(76,1),(77,1),(111,1),(118,1),(119,1)}
        98:{1,5,7}:{(76,1),(78,1),(112,1)}
        99:{1,3,6,7}:{(77,1),(78,1),(115,1),(119,1),(120,1)}
       100:{1,3,5}:{(79,1),(80,1),(113,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,3,6}:{(81,1),(83,1),(122,1),(123,1)}
       103:{1,4,7}:{(82,1),(83,1),(122,1),(169,1)}
       104:{1,2,5,7}:{(83,1),(117,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(90,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(91,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(135,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(96,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(92,1),(97,1),(131,1),(132,1),(133,1)}
       112:{1,5,6}:{(89,1),(93,1),(98,1),(139,1),(155,1)}
       113:{3,5}:{(90,1),(91,1)}
       114:{2,3,4,6}:{(91,1),(92,1),(94,1),(101,1),(126,1),(131,1),(133,1),(134,1),(161,1),(172,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(135,1)}
       116:{1,3,4,7}:{(94,1),(95,1),(103,1),(128,1),(134,1),(136,1),(137,1),(141,1),(157,1),(162,1)}
       117:{2,5,7}:{(95,1),(135,1),(136,1),(160,1)}
       118:{2,4,7}:{(96,1),(97,1),(131,1),(137,1)}
       119:{1,3,5,7}:{(97,1),(98,1),(99,1),(132,1),(137,1),(138,1),(162,1)}
       120:{2,6,7}:{(99,1),(135,1),(138,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,6}:{(102,1),(104,1),(135,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(136,1),(140,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(113,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(117,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(118,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(115,1),(119,1),(147,1),(148,1),(149,1),(167,1)}
       133:{2,3,5}:{(113,1),(114,1),(121,1),(142,1),(146,1),(149,1)}
       134:{1,3,4,6}:{(114,1),(115,1),(116,1),(122,1),(143,1),(147,1),(149,1),(150,1),(154,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       135:{2,6}:{(115,1),(117,1)}
       136:{2,4,7}:{(116,1),(117,1),(150,1),(151,1)}
       137:{1,4,7}:{(118,1),(119,1),(147,1),(152,1)}
       138:{2,5,7}:{(119,1),(120,1),(148,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(150,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(124,1),(151,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(135,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(136,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(133,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(137,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(135,1),(138,1),(159,1),(160,1)}
       149:{1,3,5}:{(133,1),(134,1),(139,1),(155,1),(158,1),(160,1),(171,1)}
       150:{2,4,6}:{(134,1),(135,1),(136,1),(160,1),(161,1),(172,1)}
       151:{2,3,7}:{(136,1),(141,1),(157,1),(161,1),(162,1)}
       152:{2,4,7}:{(137,1),(138,1),(159,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(160,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(161,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(150,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(151,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(149,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(152,1),(166,1),(167,1)}
       160:{2,5}:{(149,1),(150,1)}
       161:{2,3,6}:{(150,1),(151,1),(154,1),(165,1),(167,1),(168,1)}
       162:{3,7}:{(152,1),(167,1)}
       163:{1,3,5}:{(153,1),(154,1),(168,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(160,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(161,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(160,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(162,1),(171,1)}
       168:{2,3,5}:{(160,1),(161,1),(163,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2147 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2148 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2149 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(16,1),(121,1),(124,1),(202,1),(203,1),(205,1),(213,1),(274,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(27,1),(31,1),(95,1),(97,1),(149,1),(151,1),(161,1),(164,1),(247,1),(249,1),(256,1),(311,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(34,1),(89,1),(245,1),(255,1),(310,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(39,1),(45,1),(95,1),(97,1),(311,1),(312,1),(313,1),(361,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(45,1),(361,1),(362,1),(363,1)}
         5:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(53,1),(54,1),(121,1),(198,1),(199,1),(203,1),(210,1),(271,1)}
         6:{2,4,5,7}:{(1,1),(16,1),(17,1),(55,1),(121,1),(124,1),(288,1),(289,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(22,1),(50,1),(67,1),(113,1),(125,1),(294,1),(342,1)}
         8:{2,3,5,6}:{(2,1),(15,1),(18,1),(19,1),(282,1),(291,1),(339,1)}
         9:{1,3,5,7}:{(3,1),(16,1),(21,1),(22,1),(66,1),(344,1),(345,1)}
        10:{1,2,4,6}:{(3,1),(17,1),(22,1),(23,1),(67,1),(342,1),(381,1)}
        11:{1,2,4,7}:{(4,1),(21,1),(25,1),(383,1)}
        12:{1,2,3,6}:{(4,1),(22,1),(25,1),(381,1)}
        13:{1,2,4,5,7}:{(6,1),(27,1),(28,1),(73,1),(76,1),(144,1),(149,1),(151,1),(256,1),(257,1),(258,1),(261,1)}
        14:{1,3,4,6,7}:{(5,1),(7,1),(30,1),(31,1),(38,1),(75,1),(82,1),(95,1),(149,1),(157,1),(161,1),(244,1),(247,1),(253,1),(308,1)}
        15:{2,3,5,7}:{(5,1),(8,1),(31,1),(32,1),(242,1),(252,1),(307,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(27,1),(33,1),(34,1),(88,1),(324,1),(325,1)}
        17:{2,4,6}:{(6,1),(7,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(31,1),(35,1),(36,1),(90,1),(326,1),(364,1)}
        19:{2,4,5,6}:{(8,1),(32,1),(36,1),(37,1),(89,1)}
        20:{1,2,4,6,7}:{(10,1),(30,1),(38,1),(39,1),(95,1),(308,1),(309,1),(312,1)}
        21:{1,3,4,7}:{(9,1),(11,1),(33,1),(40,1),(95,1),(369,1)}
        22:{1,3,6}:{(9,1),(10,1),(34,1)}
        23:{1,2,5,6}:{(10,1),(35,1),(39,1),(41,1),(45,1),(364,1)}
        24:{1,2,3,6,7}:{(12,1),(38,1),(43,1),(44,1),(169,1),(177,1),(309,1),(362,1),(366,1),(395,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(99,1),(100,1),(103,1),(177,1),(237,1),(314,1),(363,1),(395,1),(397,1),(410,1)}
        27:{1,3,5,7}:{(13,1),(16,1),(49,1),(50,1),(112,1),(296,1),(297,1)}
        28:{1,2,4,6}:{(13,1),(17,1),(50,1),(51,1),(113,1),(294,1),(298,1)}
        29:{2,3,5,6,7}:{(15,1),(52,1),(53,1),(116,1),(196,1),(199,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(54,1),(55,1),(121,1),(285,1),(288,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(18,1),(55,1),(56,1),(122,1),(292,1),(340,1)}
        32:{2,4,5,7}:{(15,1),(19,1),(53,1),(56,1),(57,1),(121,1)}
        33:{2,3,4,7}:{(16,1),(21,1),(49,1),(58,1),(121,1),(354,1)}
        34:{2,3,6}:{(16,1),(17,1),(22,1),(50,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{1,4,5,6}:{(18,1),(19,1),(56,1),(60,1),(67,1),(113,1)}
        37:{3,4,5,6}:{(19,1),(57,1),(125,1),(282,1)}
        38:{1,3,6,7}:{(20,1),(22,1),(54,1),(64,1),(344,1)}
        39:{1,2,5,7}:{(20,1),(23,1),(55,1),(64,1),(340,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(25,1),(58,1),(66,1),(67,1)}
        41:{1,3,5,6}:{(22,1),(23,1),(59,1),(64,1),(66,1),(67,1)}
        42:{1,2,4,5,6}:{(23,1),(60,1),(65,1),(67,1),(68,1),(71,1),(127,1),(135,1),(137,1),(207,1),(208,1),(278,1),(291,1),(384,1),(388,1),(406,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(63,1),(69,1),(70,1),(137,1),(210,1),(336,1),(381,1),(405,1)}
        44:{1,2,3,5,7}:{(24,1),(26,1),(64,1),(69,1),(70,1),(133,1),(138,1),(276,1),(344,1),(385,1)}
        45:{1,2,5}:{(25,1),(66,1)}
        46:{1,2,4,6}:{(26,1),(67,1),(70,1),(71,1),(72,1),(135,1),(383,1),(406,1)}
        47:{1,2,3,5,7}:{(27,1),(73,1),(74,1),(144,1),(261,1),(262,1),(263,1)}
        48:{1,2,4,6,7}:{(28,1),(30,1),(75,1),(76,1),(149,1),(253,1),(254,1),(257,1)}
        49:{1,3,4,7}:{(27,1),(33,1),(73,1),(77,1),(149,1),(331,1)}
        50:{1,3,6}:{(27,1),(28,1),(34,1)}
        51:{1,2,5,6}:{(28,1),(35,1),(76,1),(78,1),(144,1),(326,1)}
        52:{1,3,5,6,7}:{(29,1),(31,1),(81,1),(82,1),(157,1),(240,1),(244,1)}
        53:{2,4,6,7}:{(29,1),(32,1),(82,1),(83,1)}
        54:{2,3,6,7}:{(30,1),(34,1),(38,1),(75,1),(85,1),(157,1),(324,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{1,4,5,7}:{(31,1),(32,1),(36,1),(82,1),(86,1),(95,1),(149,1)}
        57:{3,4,5,7}:{(32,1),(37,1),(83,1),(161,1),(242,1)}
        58:{2,3,4,6}:{(33,1),(34,1),(40,1),(77,1),(88,1),(89,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(41,1),(78,1),(85,1),(88,1),(89,1),(90,1)}
        60:{2,4,5,6}:{(35,1),(36,1),(86,1),(89,1),(90,1)}
        61:{1,3,4,5,6}:{(36,1),(37,1),(87,1),(90,1),(91,1),(98,1),(152,1),(166,1),(251,1),(306,1),(315,1),(370,1),(400,1)}
        62:{1,2,5,6,7}:{(39,1),(81,1),(92,1),(93,1),(100,1),(240,1),(252,1),(309,1),(318,1),(365,1)}
        63:{1,3,4,6,7}:{(38,1),(40,1),(43,1),(84,1),(94,1),(95,1),(102,1),(170,1),(177,1),(303,1),(308,1),(360,1),(366,1),(398,1),(399,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(41,1),(85,1),(95,1)}
        65:{1,2,4,5,7}:{(39,1),(42,1),(86,1),(93,1),(95,1),(96,1),(163,1),(167,1),(172,1),(248,1),(252,1),(312,1),(365,1),(371,1),(398,1)}
        66:{1,3,5}:{(40,1),(45,1),(88,1),(97,1)}
        67:{1,4,6}:{(41,1),(89,1),(95,1),(97,1)}
        68:{1,3,5,6}:{(42,1),(90,1),(96,1),(98,1),(99,1),(103,1),(177,1),(314,1),(400,1)}
        69:{1,2,5,7}:{(43,1),(45,1),(94,1),(100,1),(252,1),(410,1)}
        70:{1,2,4,7}:{(44,1),(46,1),(95,1),(102,1),(172,1),(398,1)}
        71:{1,2,4,5}:{(45,1),(46,1),(97,1),(103,1),(174,1),(410,1),(411,1)}
        72:{1,3,4,6}:{(46,1),(102,1),(103,1),(104,1),(177,1),(314,1),(369,1)}
        73:{1,2,4,7}:{(47,1),(49,1),(106,1),(300,1)}
        74:{1,2,3,6}:{(47,1),(50,1),(106,1),(298,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(54,1),(110,1),(296,1)}
        76:{1,2,5,7}:{(48,1),(51,1),(55,1),(110,1),(292,1)}
        77:{1,3,4,6}:{(49,1),(50,1),(58,1),(106,1),(112,1),(113,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(59,1),(110,1),(112,1),(113,1)}
        79:{1,2,4,5,6}:{(51,1),(60,1),(111,1),(113,1),(114,1),(127,1),(184,1),(193,1),(207,1),(217,1),(264,1),(269,1),(339,1),(355,1),(388,1),(393,1)}
        80:{2,4,5,6,7}:{(53,1),(115,1),(116,1),(196,1),(197,1),(348,1)}
        81:{2,5,6,7}:{(52,1),(55,1),(118,1),(285,1)}
        82:{1,4,6,7}:{(52,1),(53,1),(56,1),(118,1)}
        83:{3,4,6,7}:{(53,1),(57,1),(116,1)}
        84:{2,3,4,6,7}:{(54,1),(58,1),(63,1),(109,1),(120,1),(121,1),(139,1),(198,1),(201,1),(210,1),(218,1),(266,1),(271,1),(334,1),(351,1),(391,1),(392,1)}
        85:{2,3,5,7}:{(54,1),(55,1),(59,1),(64,1),(110,1),(121,1),(122,1)}
        86:{2,4,5,7}:{(55,1),(56,1),(60,1),(118,1),(121,1),(122,1)}
        87:{1,3,4,5,7}:{(56,1),(57,1),(61,1),(119,1),(122,1),(123,1),(132,1),(190,1),(204,1),(209,1),(270,1),(279,1),(347,1),(389,1)}
        88:{2,3,5}:{(58,1),(66,1),(112,1),(124,1)}
        89:{2,4,6}:{(59,1),(67,1),(113,1),(121,1),(124,1),(125,1)}
        90:{3,5,6}:{(60,1),(122,1),(125,1)}
        91:{2,4,5,6}:{(61,1),(123,1),(126,1),(127,1),(135,1),(193,1),(207,1),(291,1),(339,1)}
        92:{1,3,5,6,7}:{(62,1),(64,1),(117,1),(128,1),(129,1),(130,1),(209,1),(272,1),(340,1),(385,1)}
        93:{1,2,4,6,7}:{(62,1),(65,1),(118,1),(128,1),(129,1),(137,1),(200,1),(210,1),(285,1),(348,1)}
        94:{1,3,5,7}:{(63,1),(66,1),(69,1),(120,1),(130,1),(131,1),(340,1),(407,1)}
        95:{1,4,7}:{(64,1),(67,1),(121,1)}
        96:{1,3,5,7}:{(65,1),(68,1),(122,1),(129,1),(132,1),(133,1),(344,1),(389,1)}
        97:{1,4,5}:{(66,1),(67,1),(124,1)}
        98:{1,3,4,6}:{(67,1),(68,1),(125,1),(132,1),(134,1),(135,1),(406,1),(408,1)}
        99:{2,3,5,6}:{(68,1),(133,1),(135,1),(136,1),(140,1),(207,1),(218,1),(290,1),(291,1)}
       100:{1,2,5,6}:{(69,1),(130,1),(137,1),(291,1),(381,1)}
       101:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(131,1),(137,1),(138,1),(213,1)}
       102:{1,3,4,7}:{(70,1),(72,1),(138,1),(139,1),(344,1)}
       103:{1,3,5}:{(71,1),(72,1),(140,1)}
       104:{2,3,4,6}:{(72,1),(135,1),(139,1),(140,1),(141,1),(218,1),(290,1),(354,1)}
       105:{1,2,3,6,7}:{(74,1),(75,1),(142,1),(143,1),(230,1),(254,1),(262,1),(301,1),(328,1),(332,1)}
       106:{1,2,4,6}:{(73,1),(74,1),(77,1),(144,1)}
       107:{1,2,3,5,6}:{(74,1),(78,1),(143,1),(144,1),(145,1),(153,1),(176,1),(223,1),(226,1),(259,1),(263,1),(301,1),(332,1),(377,1),(380,1)}
       108:{1,2,5,6,7}:{(76,1),(81,1),(146,1),(147,1),(223,1),(240,1),(254,1),(307,1),(318,1),(327,1)}
       109:{1,3,4,6,7}:{(75,1),(77,1),(84,1),(142,1),(148,1),(149,1),(179,1),(225,1),(231,1),(253,1),(260,1),(301,1),(328,1),(378,1),(379,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(85,1),(149,1)}
       111:{1,2,4,5,7}:{(76,1),(79,1),(86,1),(147,1),(149,1),(150,1),(163,1),(228,1),(233,1),(248,1),(257,1),(307,1),(327,1),(371,1),(378,1)}
       112:{1,3,5}:{(77,1),(88,1),(144,1),(151,1)}
       113:{1,4,6}:{(78,1),(89,1),(149,1),(151,1)}
       114:{1,3,5,6}:{(79,1),(90,1),(150,1),(152,1),(153,1),(226,1),(259,1),(301,1),(400,1)}
       115:{1,4,5,6,7}:{(80,1),(82,1),(154,1),(155,1),(167,1),(228,1),(240,1),(317,1)}
       116:{3,5,6,7}:{(80,1),(83,1),(242,1),(372,1)}
       117:{2,3,5,6,7}:{(81,1),(85,1),(92,1),(146,1),(156,1),(157,1),(159,1),(169,1),(230,1),(242,1),(252,1),(307,1),(318,1),(372,1),(374,1)}
       118:{2,4,6,7}:{(81,1),(82,1),(86,1),(157,1)}
       119:{1,3,4,6,7}:{(82,1),(83,1),(87,1),(155,1),(157,1),(158,1),(238,1),(244,1),(317,1),(372,1)}
       120:{2,3,5,7}:{(84,1),(88,1),(94,1),(148,1),(159,1),(160,1),(242,1),(252,1),(307,1),(403,1)}
       121:{2,4,7}:{(85,1),(89,1),(95,1),(149,1),(161,1)}
       122:{3,5,7}:{(86,1),(90,1),(157,1),(161,1)}
       123:{2,4,5,7}:{(87,1),(91,1),(158,1),(162,1),(163,1),(172,1),(233,1),(248,1),(252,1),(307,1)}
       124:{2,4,5}:{(88,1),(89,1),(97,1),(151,1),(164,1)}
       125:{3,4,6}:{(89,1),(90,1),(161,1),(164,1)}
       126:{2,3,5,6}:{(90,1),(91,1),(162,1),(165,1),(166,1),(400,1)}
       127:{1,4,5,6}:{(91,1),(163,1),(166,1),(175,1),(236,1),(326,1),(364,1)}
       128:{1,4,6,7}:{(92,1),(95,1),(156,1),(167,1),(170,1),(398,1)}
       129:{1,3,6,7}:{(93,1),(96,1),(157,1),(169,1),(177,1),(372,1)}
       130:{1,3,5,6}:{(94,1),(100,1),(159,1),(170,1),(177,1),(360,1),(364,1)}
       131:{1,4,5,7}:{(94,1),(95,1),(97,1),(160,1),(170,1),(398,1),(411,1)}
       132:{1,3,4,7}:{(95,1),(96,1),(98,1),(161,1),(172,1),(398,1),(401,1)}
       133:{2,3,5,7}:{(96,1),(99,1),(169,1),(172,1),(173,1),(248,1),(252,1),(324,1)}
       134:{1,3,4,5}:{(97,1),(98,1),(103,1),(164,1),(174,1),(411,1),(412,1)}
       135:{2,4,6}:{(98,1),(99,1),(172,1),(174,1),(175,1)}
       136:{1,3,5,6}:{(99,1),(173,1),(175,1),(176,1),(180,1),(259,1),(260,1),(326,1)}
       137:{1,2,4,6}:{(100,1),(101,1),(170,1),(177,1),(255,1)}
       138:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(178,1)}
       139:{2,3,4,7}:{(102,1),(104,1),(172,1),(178,1),(179,1),(324,1)}
       140:{2,3,5}:{(103,1),(104,1),(174,1),(180,1)}
       141:{1,3,4,6}:{(104,1),(175,1),(179,1),(180,1),(181,1),(259,1),(260,1),(331,1)}
       142:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(182,1),(183,1),(220,1),(264,1),(271,1),(298,1),(359,1)}
       143:{1,2,3,5,7}:{(105,1),(107,1),(110,1),(182,1),(183,1),(191,1),(215,1),(265,1),(296,1),(356,1)}
       144:{1,2,5}:{(106,1),(112,1)}
       145:{1,2,4,6}:{(107,1),(113,1),(183,1),(184,1),(185,1),(193,1),(300,1),(393,1)}
       146:{1,3,5,6,7}:{(108,1),(110,1),(117,1),(186,1),(187,1),(188,1),(211,1),(270,1),(292,1),(356,1)}
       147:{1,2,4,6,7}:{(108,1),(111,1),(118,1),(186,1),(187,1),(200,1),(264,1),(271,1),(285,1),(348,1)}
       148:{1,3,5,7}:{(109,1),(112,1),(120,1),(182,1),(188,1),(189,1),(292,1),(394,1)}
       149:{1,4,7}:{(110,1),(113,1),(121,1)}
       150:{1,3,5,7}:{(111,1),(114,1),(122,1),(187,1),(190,1),(191,1),(296,1),(389,1)}
       151:{1,4,5}:{(112,1),(113,1),(124,1)}
       152:{1,3,4,6}:{(113,1),(114,1),(125,1),(190,1),(192,1),(193,1),(393,1),(408,1)}
       153:{2,3,5,6}:{(114,1),(191,1),(193,1),(194,1),(207,1),(267,1),(290,1),(334,1),(339,1)}
       154:{2,4,5,6,7}:{(115,1),(118,1),(195,1),(196,1),(197,1),(280,1)}
       155:{1,3,5,6,7}:{(115,1),(116,1),(119,1),(195,1),(196,1),(209,1),(270,1)}
       156:{2,4,6,7}:{(117,1),(121,1),(128,1),(186,1),(197,1),(198,1),(201,1),(391,1)}
       157:{3,6,7}:{(118,1),(122,1)}
       158:{2,4,6,7}:{(119,1),(123,1),(196,1),(199,1),(200,1),(285,1)}
       159:{2,3,5,6}:{(120,1),(130,1),(188,1),(201,1),(218,1),(282,1),(291,1),(334,1),(339,1)}
       160:{2,4,5,7}:{(120,1),(121,1),(124,1),(131,1),(189,1),(201,1),(202,1),(391,1),(409,1)}
       161:{3,4,7}:{(121,1),(122,1),(125,1)}
       162:{2,3,5,7}:{(122,1),(123,1),(126,1),(199,1),(203,1),(204,1),(389,1)}
       163:{1,4,5,7}:{(123,1),(127,1),(200,1),(204,1),(214,1),(275,1),(292,1),(340,1)}
       164:{3,4,5}:{(124,1),(125,1)}
       165:{2,3,4,6}:{(125,1),(126,1),(135,1),(193,1),(203,1),(205,1),(206,1),(290,1),(408,1)}
       166:{1,3,5,6}:{(126,1),(127,1),(204,1),(206,1),(207,1)}
       167:{1,4,5,7}:{(128,1),(197,1),(208,1),(209,1),(340,1)}
       168:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(198,1),(209,1),(210,1),(212,1)}
       169:{2,3,6,7}:{(129,1),(133,1),(210,1),(211,1),(218,1),(285,1)}
       170:{1,4,6}:{(130,1),(131,1),(201,1)}
       171:{1,3,4,5,7}:{(131,1),(132,1),(134,1),(138,1),(202,1),(209,1),(212,1),(213,1)}
       172:{2,4,7}:{(132,1),(133,1),(135,1),(214,1)}
       173:{1,3,5,7}:{(133,1),(136,1),(211,1),(214,1),(215,1),(292,1),(296,1)}
       174:{2,4,5}:{(134,1),(135,1),(140,1),(216,1)}
       175:{1,4,6}:{(135,1),(136,1),(214,1),(216,1)}
       176:{1,2,5,6}:{(136,1),(207,1),(215,1),(217,1),(221,1),(298,1)}
       177:{1,3,6}:{(137,1),(138,1),(218,1)}
       178:{2,3,5,7}:{(138,1),(139,1),(140,1),(213,1),(218,1),(219,1)}
       179:{1,3,4,7}:{(139,1),(141,1),(214,1),(219,1),(220,1),(296,1)}
       180:{1,3,5}:{(140,1),(141,1),(216,1),(221,1)}
       181:{1,2,4,6}:{(141,1),(220,1),(221,1),(222,1),(298,1),(300,1)}
       182:{1,2,5,7}:{(142,1),(144,1),(148,1),(223,1),(307,1),(380,1)}
       183:{1,2,4,7}:{(143,1),(145,1),(149,1),(225,1),(233,1),(378,1)}
       184:{1,2,4,5}:{(144,1),(145,1),(151,1),(226,1),(235,1),(380,1),(404,1)}
       185:{1,3,4,6}:{(145,1),(225,1),(226,1),(227,1),(259,1),(301,1),(331,1)}
       186:{1,4,6,7}:{(146,1),(149,1),(156,1),(228,1),(231,1),(378,1)}
       187:{1,3,6,7}:{(147,1),(150,1),(157,1),(230,1),(301,1),(372,1)}
       188:{1,3,5,6}:{(148,1),(159,1),(223,1),(231,1),(260,1),(301,1),(326,1)}
       189:{1,4,5,7}:{(148,1),(149,1),(151,1),(160,1),(231,1),(378,1),(404,1)}
       190:{1,3,4,7}:{(149,1),(150,1),(152,1),(161,1),(233,1),(378,1),(401,1)}
       191:{2,3,5,7}:{(150,1),(153,1),(230,1),(233,1),(234,1),(248,1),(307,1),(324,1)}
       192:{1,3,4,5}:{(151,1),(152,1),(164,1),(226,1),(235,1),(404,1),(412,1)}
       193:{2,4,6}:{(152,1),(153,1),(233,1),(235,1),(236,1)}
       194:{1,3,5,6}:{(153,1),(234,1),(236,1),(237,1),(304,1),(314,1),(360,1),(364,1)}
       195:{3,5,6,7}:{(154,1),(157,1),(238,1),(242,1)}
       196:{2,5,6,7}:{(155,1),(158,1),(240,1),(252,1),(307,1)}
       197:{2,4,5,7}:{(156,1),(167,1),(228,1),(241,1),(242,1),(252,1),(307,1)}
       198:{3,4,6,7}:{(156,1),(157,1),(161,1),(242,1),(245,1),(372,1),(401,1)}
       199:{2,3,6,7}:{(157,1),(158,1),(162,1),(244,1),(372,1)}
       200:{1,4,6,7}:{(158,1),(163,1),(240,1),(244,1)}
       201:{2,4,6}:{(159,1),(160,1),(170,1),(231,1),(245,1)}
       202:{3,4,5,7}:{(160,1),(161,1),(164,1),(242,1),(245,1),(401,1),(412,1)}
       203:{2,3,4,7}:{(161,1),(162,1),(165,1),(172,1),(233,1),(247,1),(324,1),(401,1)}
       204:{1,3,5,7}:{(162,1),(163,1),(166,1),(244,1),(247,1),(248,1)}
       205:{2,3,4,5}:{(164,1),(165,1),(174,1),(235,1),(249,1),(325,1),(412,1)}
       206:{1,3,4,6}:{(165,1),(166,1),(175,1),(236,1),(247,1),(249,1),(250,1),(259,1),(314,1)}
       207:{2,5,6}:{(166,1),(248,1),(250,1)}
       208:{1,4,5,6}:{(167,1),(170,1),(241,1),(251,1),(364,1)}
       209:{1,3,5,7}:{(167,1),(168,1),(242,1),(251,1),(252,1)}
       210:{2,4,6,7}:{(168,1),(169,1),(172,1),(252,1),(253,1),(255,1)}
       211:{1,3,6,7}:{(169,1),(173,1),(253,1),(254,1),(260,1)}
       212:{1,3,4,6}:{(170,1),(171,1),(177,1),(245,1),(251,1),(255,1)}
       213:{2,4,5,7}:{(171,1),(172,1),(174,1),(178,1),(252,1),(255,1),(256,1)}
       214:{1,4,7}:{(172,1),(173,1),(175,1)}
       215:{1,2,5,7}:{(173,1),(176,1),(248,1),(254,1),(257,1)}
       216:{1,4,5}:{(174,1),(175,1),(180,1)}
       217:{1,2,4,6}:{(175,1),(176,1),(250,1),(257,1),(258,1),(259,1)}
       218:{2,3,6}:{(177,1),(178,1),(255,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(179,1),(180,1),(256,1),(260,1),(261,1)}
       220:{1,2,4,7}:{(179,1),(181,1),(261,1),(262,1)}
       221:{1,2,5}:{(180,1),(181,1)}
       222:{1,2,3,6}:{(181,1),(259,1),(262,1),(263,1)}
       223:{1,2,5,6}:{(182,1),(188,1),(264,1),(298,1),(339,1)}
       224:{1,2,4,5,7}:{(182,1),(183,1),(184,1),(189,1),(264,1),(265,1),(274,1)}
       225:{1,3,4,7}:{(183,1),(185,1),(265,1),(266,1),(296,1)}
       226:{1,3,5}:{(184,1),(185,1),(267,1)}
       227:{2,3,4,6}:{(185,1),(193,1),(266,1),(267,1),(268,1),(290,1),(334,1),(354,1)}
       228:{1,4,5,7}:{(186,1),(197,1),(269,1),(270,1),(292,1)}
       229:{1,3,4,6,7}:{(186,1),(187,1),(190,1),(198,1),(270,1),(271,1),(273,1)}
       230:{2,3,6,7}:{(187,1),(191,1),(271,1),(272,1),(285,1),(334,1)}
       231:{1,4,6}:{(188,1),(189,1),(201,1)}
       232:{1,3,4,5,7}:{(189,1),(190,1),(192,1),(202,1),(265,1),(270,1),(273,1),(274,1)}
       233:{2,4,7}:{(190,1),(191,1),(193,1),(275,1)}
       234:{1,3,5,7}:{(191,1),(194,1),(272,1),(275,1),(276,1),(340,1),(344,1)}
       235:{2,4,5}:{(192,1),(193,1),(267,1),(277,1)}
       236:{1,4,6}:{(193,1),(194,1),(275,1),(277,1)}
       237:{1,2,5,6}:{(194,1),(207,1),(276,1),(278,1),(337,1),(381,1)}
       238:{3,4,6,7}:{(195,1),(279,1),(280,1)}
       239:{2,3,5,6,7}:{(195,1),(196,1),(199,1),(280,1),(281,1),(283,1)}
       240:{1,5,6,7}:{(196,1),(200,1),(292,1),(340,1)}
       241:{2,4,5,6}:{(197,1),(201,1),(208,1),(269,1),(282,1),(291,1),(339,1)}
       242:{3,5,7}:{(197,1),(198,1),(282,1)}
       243:{2,3,4,6,7}:{(198,1),(199,1),(203,1),(210,1),(271,1),(280,1),(283,1),(284,1),(286,1),(351,1),(391,1)}
       244:{1,3,6,7}:{(199,1),(200,1),(204,1),(285,1)}
       245:{3,4,6}:{(201,1),(202,1),(282,1)}
       246:{2,3,4,5,7}:{(202,1),(203,1),(205,1),(213,1),(274,1),(283,1),(286,1),(287,1),(353,1),(391,1),(409,1)}
       247:{1,3,4,7}:{(203,1),(204,1),(206,1),(214,1),(275,1),(288,1),(296,1),(344,1)}
       248:{2,5,7}:{(204,1),(207,1),(285,1),(288,1)}
       249:{1,3,4,5}:{(205,1),(206,1),(216,1),(277,1),(289,1),(297,1),(345,1)}
       250:{2,4,6}:{(206,1),(207,1),(288,1),(289,1),(290,1)}
       251:{1,3,5,6}:{(208,1),(209,1),(212,1),(282,1),(291,1)}
       252:{2,5,7}:{(209,1),(210,1),(291,1),(292,1)}
       253:{1,4,6,7}:{(210,1),(211,1),(214,1),(292,1),(294,1)}
       254:{1,2,6,7}:{(211,1),(215,1),(285,1),(298,1)}
       255:{2,4,6}:{(212,1),(213,1),(218,1),(291,1),(294,1)}
       256:{1,4,5,7}:{(213,1),(214,1),(216,1),(219,1),(292,1),(294,1)}
       257:{1,2,4,7}:{(214,1),(215,1),(217,1),(288,1),(296,1)}
       258:{1,2,4,5}:{(216,1),(217,1),(221,1),(289,1),(297,1),(300,1)}
       259:{1,3,6}:{(217,1),(290,1),(296,1),(297,1)}
       260:{1,3,6}:{(218,1),(219,1),(294,1),(298,1)}
       261:{1,2,5,7}:{(219,1),(220,1),(221,1),(298,1)}
       262:{1,2,3,7}:{(220,1),(222,1),(296,1)}
       263:{1,2,3,5}:{(221,1),(222,1),(297,1),(300,1)}
       264:{1,2,4,6}:{(223,1),(224,1),(231,1),(301,1),(310,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(301,1),(302,1)}
       266:{2,3,4,7}:{(225,1),(227,1),(233,1),(302,1),(303,1),(324,1)}
       267:{2,3,5}:{(226,1),(227,1),(235,1),(304,1)}
       268:{1,3,4,6}:{(227,1),(236,1),(303,1),(304,1),(305,1),(314,1),(360,1),(369,1)}
       269:{1,4,5,6}:{(228,1),(231,1),(241,1),(306,1),(326,1)}
       270:{1,3,5,7}:{(228,1),(229,1),(242,1),(306,1),(307,1)}
       271:{2,4,6,7}:{(229,1),(230,1),(233,1),(307,1),(308,1),(310,1)}
       272:{1,3,6,7}:{(230,1),(234,1),(308,1),(309,1),(360,1)}
       273:{1,3,4,6}:{(231,1),(232,1),(245,1),(301,1),(306,1),(310,1)}
       274:{2,4,5,7}:{(232,1),(233,1),(235,1),(302,1),(307,1),(310,1),(311,1)}
       275:{1,4,7}:{(233,1),(234,1),(236,1)}
       276:{1,2,5,7}:{(234,1),(237,1),(248,1),(309,1),(312,1)}
       277:{1,4,5}:{(235,1),(236,1),(304,1)}
       278:{1,2,4,6}:{(236,1),(237,1),(250,1),(312,1),(313,1),(314,1)}
       279:{3,4,5,7}:{(238,1),(242,1),(315,1),(316,1),(401,1)}
       280:{2,4,6,7}:{(238,1),(239,1),(316,1),(317,1)}
       281:{1,3,5,6,7}:{(239,1),(240,1),(244,1),(317,1),(318,1),(320,1),(372,1)}
       282:{3,5,6}:{(241,1),(242,1),(245,1)}
       283:{2,3,5,7}:{(242,1),(243,1),(252,1),(307,1),(316,1),(319,1),(320,1)}
       284:{1,3,4,6,7}:{(243,1),(244,1),(247,1),(253,1),(308,1),(317,1),(320,1),(321,1),(322,1),(328,1),(366,1),(372,1),(378,1),(398,1),(401,1)}
       285:{2,6,7}:{(244,1),(248,1)}
       286:{2,3,4,6}:{(245,1),(246,1),(255,1),(310,1),(319,1),(322,1),(375,1),(402,1)}
       287:{1,3,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(311,1),(320,1),(322,1),(323,1),(330,1),(368,1),(378,1),(398,1),(401,1),(404,1),(411,1),(412,1)}
       288:{2,4,7}:{(247,1),(248,1),(250,1),(324,1)}
       289:{2,4,5}:{(249,1),(250,1),(325,1)}
       290:{2,3,6}:{(250,1),(259,1),(314,1),(324,1),(325,1)}
       291:{2,5,6}:{(251,1),(252,1),(255,1),(326,1)}
       292:{1,5,7}:{(252,1),(253,1),(326,1)}
       293:{1,2,4,6,7}:{(253,1),(254,1),(257,1),(321,1),(327,1),(328,1),(329,1),(378,1)}
       294:{1,4,6}:{(255,1),(256,1),(260,1),(326,1)}
       295:{1,2,4,5,7}:{(256,1),(257,1),(258,1),(261,1),(323,1),(327,1),(329,1),(330,1),(333,1),(378,1),(380,1),(404,1)}
       296:{1,3,7}:{(257,1),(259,1),(324,1)}
       297:{1,3,5}:{(258,1),(259,1),(325,1),(331,1)}
       298:{1,2,6}:{(260,1),(261,1)}
       299:{1,2,3,5,7}:{(261,1),(262,1),(263,1),(330,1),(332,1),(333,1),(380,1)}
       300:{1,2,4}:{(263,1),(331,1)}
       301:{1,3,6}:{(264,1),(265,1),(334,1)}
       302:{2,3,5,7}:{(265,1),(266,1),(267,1),(274,1),(334,1),(335,1)}
       303:{1,3,4,7}:{(266,1),(268,1),(275,1),(335,1),(336,1),(344,1)}
       304:{1,3,5}:{(267,1),(268,1),(277,1),(337,1)}
       305:{1,2,4,6}:{(268,1),(336,1),(337,1),(338,1),(381,1),(383,1)}
       306:{1,3,5,6}:{(269,1),(270,1),(273,1),(282,1),(339,1)}
       307:{2,5,7}:{(270,1),(271,1),(339,1),(340,1)}
       308:{1,4,6,7}:{(271,1),(272,1),(275,1),(340,1),(342,1)}
       309:{1,2,6,7}:{(272,1),(276,1),(285,1),(381,1)}
       310:{2,4,6}:{(273,1),(274,1),(334,1),(339,1),(342,1)}
       311:{1,4,5,7}:{(274,1),(275,1),(277,1),(335,1),(340,1),(342,1)}
       312:{1,2,4,7}:{(275,1),(276,1),(278,1),(288,1),(344,1)}
       313:{1,2,4,5}:{(277,1),(278,1),(289,1),(337,1),(345,1),(383,1)}
       314:{1,3,6}:{(278,1),(290,1),(344,1),(345,1)}
       315:{3,4,5,6}:{(279,1),(282,1),(346,1),(408,1)}
       316:{2,4,5,7}:{(279,1),(280,1),(283,1),(346,1),(347,1),(391,1)}
       317:{1,4,6,7}:{(280,1),(281,1),(347,1),(348,1)}
       318:{2,5,6,7}:{(281,1),(285,1),(348,1),(350,1)}
       319:{2,3,5,6}:{(282,1),(283,1),(286,1),(291,1),(339,1),(346,1),(349,1)}
       320:{1,3,5,7}:{(283,1),(284,1),(292,1),(340,1),(347,1),(349,1),(350,1),(389,1)}
       321:{2,4,6,7}:{(284,1),(285,1),(288,1),(350,1),(351,1),(352,1),(391,1)}
       322:{1,3,4,6}:{(286,1),(287,1),(294,1),(342,1),(349,1),(352,1),(357,1),(386,1),(393,1),(406,1),(408,1)}
       323:{2,4,5,7}:{(287,1),(288,1),(289,1),(350,1),(352,1),(353,1),(391,1),(409,1)}
       324:{2,3,7}:{(288,1),(290,1),(296,1),(344,1)}
       325:{2,3,5}:{(289,1),(290,1),(297,1),(345,1),(354,1)}
       326:{1,5,6}:{(291,1),(292,1),(294,1)}
       327:{1,2,5,7}:{(292,1),(293,1),(350,1),(355,1),(356,1)}
       328:{1,3,6,7}:{(293,1),(296,1),(351,1),(356,1),(357,1)}
       329:{1,2,4,6}:{(294,1),(295,1),(298,1),(352,1),(355,1),(357,1),(393,1)}
       330:{1,3,5,7}:{(295,1),(296,1),(297,1),(353,1),(357,1),(358,1),(394,1)}
       331:{1,3,4}:{(297,1),(300,1),(354,1)}
       332:{1,2,3,6}:{(298,1),(299,1),(357,1),(359,1)}
       333:{1,2,4,7}:{(299,1),(300,1),(358,1),(359,1)}
       334:{2,3,6}:{(301,1),(302,1),(310,1),(360,1)}
       335:{1,3,5,7}:{(302,1),(303,1),(304,1),(311,1),(360,1),(361,1)}
       336:{1,2,4,7}:{(303,1),(305,1),(361,1),(362,1)}
       337:{1,2,5}:{(304,1),(305,1)}
       338:{1,2,3,6}:{(305,1),(314,1),(362,1),(363,1)}
       339:{2,5,6}:{(306,1),(307,1),(310,1),(364,1)}
       340:{1,5,7}:{(307,1),(308,1),(364,1)}
       341:{1,2,4,6,7}:{(308,1),(309,1),(312,1),(321,1),(365,1),(366,1),(367,1),(398,1)}
       342:{1,4,6}:{(310,1),(311,1),(360,1),(364,1)}
       343:{1,2,4,5,7}:{(311,1),(312,1),(313,1),(323,1),(361,1),(365,1),(367,1),(368,1),(396,1),(398,1),(410,1),(411,1)}
       344:{1,3,7}:{(312,1),(314,1),(324,1)}
       345:{1,3,5}:{(313,1),(314,1),(325,1),(369,1)}
       346:{2,4,5,6}:{(315,1),(316,1),(319,1),(370,1),(402,1)}
       347:{1,4,5,7}:{(316,1),(317,1),(320,1),(370,1),(371,1),(378,1),(398,1)}
       348:{2,4,6,7}:{(317,1),(318,1),(371,1),(372,1)}
       349:{1,3,5,6}:{(319,1),(320,1),(322,1),(326,1),(364,1),(370,1),(373,1),(400,1)}
       350:{2,5,7}:{(320,1),(321,1),(373,1)}
       351:{2,3,6,7}:{(321,1),(324,1),(328,1),(366,1),(372,1),(374,1),(375,1)}
       352:{2,4,6}:{(322,1),(323,1),(373,1),(375,1)}
       353:{2,3,5,7}:{(323,1),(324,1),(325,1),(330,1),(368,1),(375,1),(376,1),(403,1)}
       354:{2,3,4}:{(325,1),(331,1),(369,1)}
       355:{1,2,5,6}:{(326,1),(327,1),(329,1),(373,1),(377,1),(380,1)}
       356:{1,3,5,7}:{(327,1),(328,1),(374,1),(377,1),(378,1)}
       357:{1,3,6}:{(329,1),(330,1),(375,1)}
       358:{1,3,4,7}:{(330,1),(331,1),(333,1),(376,1),(378,1),(379,1)}
       359:{1,2,4,6}:{(332,1),(333,1),(379,1),(380,1)}
       360:{1,3,6}:{(334,1),(335,1),(342,1),(381,1)}
       361:{1,2,5,7}:{(335,1),(336,1),(337,1),(381,1)}
       362:{1,2,3,7}:{(336,1),(338,1),(344,1)}
       363:{1,2,3,5}:{(337,1),(338,1),(345,1),(383,1)}
       364:{1,5,6}:{(339,1),(340,1),(342,1)}
       365:{1,2,5,7}:{(340,1),(341,1),(350,1),(384,1),(385,1)}
       366:{1,3,6,7}:{(341,1),(344,1),(351,1),(385,1),(386,1)}
       367:{1,2,4,6}:{(342,1),(343,1),(352,1),(381,1),(384,1),(386,1),(406,1)}
       368:{1,3,5,7}:{(343,1),(344,1),(345,1),(353,1),(386,1),(387,1),(407,1)}
       369:{1,3,4}:{(345,1),(354,1),(383,1)}
       370:{1,4,5,6}:{(346,1),(347,1),(349,1),(388,1),(393,1),(406,1)}
       371:{2,4,5,7}:{(347,1),(348,1),(350,1),(388,1),(389,1),(391,1)}
       372:{3,6,7}:{(348,1),(389,1)}
       373:{2,5,6}:{(349,1),(350,1),(352,1)}
       374:{2,3,5,7}:{(350,1),(351,1),(356,1),(385,1),(389,1),(390,1),(391,1)}
       375:{2,3,6}:{(352,1),(353,1),(357,1),(386,1)}
       376:{2,3,4,7}:{(353,1),(354,1),(358,1),(387,1),(391,1),(392,1)}
       377:{1,3,5,6}:{(355,1),(356,1),(357,1),(390,1),(393,1),(394,1)}
       378:{1,4,7}:{(356,1),(391,1),(393,1)}
       379:{1,3,4,6}:{(357,1),(358,1),(359,1),(392,1),(393,1),(394,1)}
       380:{1,2,5}:{(359,1),(394,1)}
       381:{1,2,6}:{(360,1),(361,1)}
       382:{1,2,3,5,7}:{(361,1),(362,1),(363,1),(368,1),(395,1),(396,1),(410,1)}
       383:{1,2,4}:{(363,1),(369,1)}
       384:{1,2,5,6}:{(364,1),(365,1),(367,1),(373,1),(397,1),(410,1)}
       385:{1,3,5,7}:{(365,1),(366,1),(374,1),(397,1),(398,1)}
       386:{1,3,6}:{(367,1),(368,1),(375,1)}
       387:{1,3,4,7}:{(368,1),(369,1),(376,1),(396,1),(398,1),(399,1)}
       388:{2,4,5,6}:{(370,1),(371,1),(373,1),(400,1),(402,1)}
       389:{3,5,7}:{(371,1),(372,1),(400,1),(401,1)}
       390:{2,3,5,6}:{(373,1),(374,1),(375,1),(377,1),(397,1),(400,1),(402,1),(403,1)}
       391:{2,4,7}:{(374,1),(378,1),(398,1),(401,1),(402,1)}
       392:{2,3,4,6}:{(375,1),(376,1),(379,1),(399,1),(402,1),(403,1)}
       393:{1,4,6}:{(377,1),(378,1),(402,1),(404,1)}
       394:{1,3,5}:{(379,1),(380,1),(403,1),(404,1)}
       395:{1,2,3,6}:{(381,1),(382,1),(386,1),(405,1)}
       396:{1,2,4,7}:{(382,1),(383,1),(387,1),(405,1)}
       397:{1,3,5,6}:{(384,1),(385,1),(386,1),(390,1),(406,1),(407,1)}
       398:{1,4,7}:{(385,1),(391,1),(406,1)}
       399:{1,3,4,6}:{(386,1),(387,1),(392,1),(405,1),(406,1),(407,1)}
       400:{3,5,6}:{(388,1),(389,1),(408,1)}
       401:{3,4,7}:{(389,1),(391,1),(408,1)}
       402:{2,4,6}:{(390,1),(391,1),(393,1),(406,1),(408,1),(409,1)}
       403:{2,3,5}:{(392,1),(394,1),(407,1),(409,1)}
       404:{1,4,5}:{(393,1),(394,1),(409,1)}
       405:{1,2,4,6}:{(395,1),(396,1),(399,1),(410,1)}
       406:{1,4,6}:{(397,1),(398,1),(402,1),(411,1)}
       407:{1,3,5}:{(399,1),(403,1),(410,1),(411,1)}
       408:{3,4,6}:{(400,1),(401,1),(402,1),(412,1)}
       409:{2,4,5}:{(402,1),(403,1),(404,1),(411,1),(412,1)}
       410:{1,2,5}:{(405,1),(407,1)}
       411:{1,4,5}:{(406,1),(407,1),(409,1)}
       412:{3,4,5}:{(408,1),(409,1)}

2150 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(99,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(38,1),(78,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(29,1),(83,1),(108,1),(113,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(45,1),(83,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(45,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(96,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(58,1),(98,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(20,1),(24,1),(49,1),(62,1),(90,1),(96,1)}
         9:{2,4,5}:{(2,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5}:{(3,1),(21,1),(24,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(67,1),(105,1),(108,1)}
        15:{3,4,5,7}:{(5,1),(31,1),(32,1),(112,1),(133,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(32,1),(33,1),(78,1),(135,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(33,1),(35,1),(36,1),(75,1)}
        19:{1,3,4,7}:{(7,1),(8,1),(35,1),(37,1),(42,1),(70,1),(82,1),(107,1),(112,1)}
        20:{2,4,6}:{(8,1),(9,1),(36,1),(37,1),(38,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(38,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(36,1),(40,1),(41,1),(45,1),(85,1)}
        23:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        24:{1,3,6}:{(10,1),(11,1),(38,1),(42,1)}
        25:{1,3,4}:{(11,1),(13,1),(39,1)}
        26:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(43,1),(44,1),(45,1),(85,1)}
        28:{1,2,4,6}:{(14,1),(20,1),(47,1),(48,1),(49,1),(90,1)}
        29:{1,3,5}:{(14,1),(21,1),(49,1),(50,1)}
        30:{4,5,6,7}:{(51,1),(137,1)}
        31:{3,4,6,7}:{(15,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(15,1),(16,1),(17,1),(52,1),(53,1),(98,1),(126,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(53,1),(54,1),(62,1),(90,1),(128,1),(136,1)}
        34:{2,3,6,7}:{(17,1),(52,1),(55,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(53,1),(55,1),(56,1),(95,1)}
        36:{2,5,6}:{(18,1),(20,1),(56,1)}
        37:{2,4,7}:{(19,1),(20,1),(56,1),(58,1)}
        38:{2,3,6}:{(20,1),(21,1),(24,1),(49,1),(58,1)}
        39:{2,3,4}:{(21,1),(25,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(56,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(22,1),(24,1),(57,1),(61,1),(62,1),(64,1),(103,1),(128,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(27,1),(59,1),(62,1),(63,1),(64,1),(103,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(65,1)}
        45:{1,2,5}:{(27,1),(64,1)}
        46:{1,2,3,5}:{(29,1),(66,1),(67,1),(105,1)}
        47:{1,2,5,6}:{(28,1),(36,1),(68,1),(69,1),(105,1),(129,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(38,1),(70,1)}
        50:{1,3,4}:{(29,1),(39,1),(67,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(72,1),(133,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(34,1),(72,1),(73,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(82,1),(107,1),(117,1),(130,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(74,1),(75,1),(78,1),(135,1),(139,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(73,1),(76,1),(111,1)}
        56:{2,5,7}:{(35,1),(36,1),(37,1),(76,1)}
        57:{2,3,5,6}:{(36,1),(38,1),(41,1),(69,1),(75,1),(77,1),(78,1),(80,1),(116,1),(135,1)}
        58:{2,3,7}:{(37,1),(38,1),(42,1),(70,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(79,1),(80,1),(116,1)}
        60:{1,2,6,7}:{(40,1),(76,1),(81,1),(85,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(42,1),(77,1),(81,1),(82,1),(117,1)}
        62:{1,4,6}:{(41,1),(78,1),(82,1),(83,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(44,1),(79,1),(82,1),(84,1)}
        64:{1,3,5}:{(43,1),(45,1),(80,1),(83,1)}
        65:{1,2,5,7}:{(44,1),(45,1),(84,1),(85,1)}
        66:{1,2,3,6}:{(46,1),(49,1),(86,1),(87,1)}
        67:{1,2,4}:{(46,1),(50,1)}
        68:{1,2,5,7}:{(47,1),(48,1),(56,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(57,1),(89,1),(90,1),(92,1),(122,1),(136,1)}
        70:{1,3,7}:{(48,1),(49,1),(58,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(59,1),(87,1),(90,1),(91,1),(92,1),(122,1)}
        72:{2,5,6,7}:{(51,1),(52,1),(93,1),(126,1)}
        73:{1,4,6,7}:{(52,1),(53,1),(55,1),(93,1),(94,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(56,1),(94,1),(95,1),(98,1),(126,1),(137,1)}
        75:{3,5,6}:{(54,1),(95,1),(96,1)}
        76:{2,6,7}:{(55,1),(56,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(89,1),(95,1),(97,1),(98,1),(126,1)}
        78:{2,4,6}:{(57,1),(62,1),(90,1),(96,1),(98,1),(99,1)}
        79:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(98,1),(100,1)}
        80:{2,3,5}:{(59,1),(64,1),(92,1),(99,1)}
        81:{1,3,6,7}:{(60,1),(61,1),(97,1),(101,1),(103,1)}
        82:{1,4,7}:{(61,1),(62,1),(98,1)}
        83:{1,4,5}:{(62,1),(64,1),(99,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(65,1),(100,1),(102,1),(103,1)}
        85:{1,2,6}:{(65,1),(103,1)}
        86:{1,2,3,7}:{(66,1),(70,1),(104,1)}
        87:{1,2,4,6}:{(66,1),(67,1),(71,1),(104,1),(105,1),(129,1)}
        88:{1,2,6,7}:{(68,1),(76,1),(106,1),(129,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(70,1),(77,1),(106,1),(107,1),(130,1)}
        90:{1,4,6}:{(69,1),(78,1),(107,1),(108,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(79,1),(104,1),(107,1),(109,1)}
        92:{1,3,5}:{(71,1),(80,1),(105,1),(108,1)}
        93:{1,5,6,7}:{(72,1),(73,1),(110,1),(117,1),(130,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(110,1),(111,1),(132,1)}
        95:{3,5,7}:{(74,1),(75,1),(111,1),(112,1)}
        96:{3,4,6}:{(75,1),(78,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(76,1),(77,1),(81,1),(106,1),(111,1),(114,1),(116,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(107,1),(112,1)}
        99:{2,4,5}:{(78,1),(80,1),(83,1),(108,1),(113,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(115,1),(116,1)}
       101:{1,4,6,7}:{(81,1),(82,1),(114,1),(117,1),(118,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(84,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(118,1)}
       104:{1,2,4,7}:{(86,1),(87,1),(91,1),(119,1)}
       105:{1,2,5}:{(87,1),(92,1)}
       106:{1,3,6,7}:{(88,1),(89,1),(97,1),(120,1),(122,1)}
       107:{1,4,7}:{(89,1),(90,1),(98,1)}
       108:{1,4,5}:{(90,1),(92,1),(99,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(121,1),(122,1)}
       110:{2,5,6,7}:{(93,1),(94,1),(123,1),(126,1)}
       111:{3,6,7}:{(94,1),(95,1)}
       112:{3,4,7}:{(95,1),(96,1),(98,1)}
       113:{3,4,5}:{(96,1),(99,1)}
       114:{2,4,6,7}:{(97,1),(98,1),(101,1),(120,1),(124,1),(126,1),(127,1)}
       115:{2,4,5,7}:{(98,1),(99,1),(100,1),(102,1),(121,1),(125,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(127,1)}
       117:{1,5,7}:{(101,1),(126,1),(128,1)}
       118:{1,4,6}:{(102,1),(103,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,6,7}:{(106,1),(107,1),(114,1),(130,1),(131,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(109,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(131,1)}
       123:{3,5,6,7}:{(110,1),(111,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(114,1),(132,1),(133,1),(134,1)}
       125:{3,4,5,7}:{(112,1),(113,1),(115,1),(133,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(130,1),(133,1),(135,1)}
       127:{2,4,6}:{(115,1),(116,1),(118,1),(131,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,5,7}:{(120,1),(126,1),(136,1)}
       131:{1,4,6}:{(121,1),(122,1),(127,1),(136,1)}
       132:{4,6,7}:{(123,1),(137,1)}
       133:{3,5,7}:{(124,1),(126,1),(137,1),(138,1)}
       134:{3,4,6}:{(125,1),(127,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2151 :   0:{1,2,3,5,6}:{(1,1),(2,1),(11,1),(48,1),(52,1),(55,1),(92,1),(196,1),(203,1),(305,1),(310,1),(402,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(75,1),(138,1),(443,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(27,1),(31,1),(85,1),(261,1),(356,1),(442,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(33,1),(40,1),(100,1),(104,1),(107,1),(119,1),(126,1),(228,1),(233,1),(340,1)}
         4:{1,3,4,6}:{(1,1),(10,1),(11,1),(12,1),(52,1),(193,1),(305,1)}
         5:{1,2,4,5}:{(1,1),(11,1),(41,1),(310,1),(403,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(122,1),(476,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(52,1),(133,1),(196,1),(317,1),(401,1),(440,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(18,1),(72,1),(141,1),(387,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(62,1),(66,1),(151,1),(182,1),(286,1),(386,1)}
        10:{2,3,4,6}:{(4,1),(23,1),(24,1),(25,1),(75,1),(86,1),(158,1),(272,1)}
        11:{1,3,5}:{(4,1),(5,1),(24,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(25,1),(27,1),(356,1)}
        13:{1,2,4,5,6}:{(5,1),(26,1),(29,1),(30,1),(69,1),(75,1),(164,1),(179,1),(181,1),(251,1),(360,1),(379,1),(443,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(27,1),(30,1),(31,1),(76,1),(90,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(28,1),(30,1),(31,1),(178,1),(253,1),(398,1),(475,1)}
        16:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(104,1),(116,1),(228,1)}
        17:{1,2,4,5}:{(8,1),(33,1),(93,1),(233,1),(341,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(34,1),(199,1),(428,1)}
        19:{1,2,3,6,7}:{(9,1),(37,1),(104,1),(119,1),(210,1),(240,1),(339,1),(488,1)}
        20:{1,3,4,5,6}:{(38,1),(39,1),(42,1),(94,1),(111,1),(125,1),(202,1),(332,1),(334,1),(422,1)}
        21:{1,3,4,5}:{(11,1),(41,1),(42,1),(403,1),(420,1)}
        22:{1,2,3,6}:{(40,1),(44,1),(45,1),(228,1)}
        23:{1,3,4,6}:{(10,1),(44,1),(46,1),(47,1),(116,1),(120,1),(131,1),(228,1)}
        24:{2,3,5}:{(10,1),(11,1),(41,1),(46,1)}
        25:{2,3,4,7}:{(10,1),(12,1),(47,1),(49,1),(122,1),(326,1)}
        26:{1,3,5,6}:{(11,1),(13,1),(42,1),(48,1),(51,1),(52,1),(305,1),(422,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(14,1),(49,1),(52,1)}
        28:{1,3,4,6,7}:{(12,1),(15,1),(50,1),(52,1),(53,1),(137,1),(307,1),(352,1),(401,1),(438,1),(441,1),(476,1)}
        29:{1,2,4,5,7}:{(13,1),(51,1),(54,1),(113,1),(122,1),(223,1),(237,1),(239,1),(308,1),(404,1),(421,1),(476,1)}
        30:{1,2,4,6}:{(14,1),(52,1),(55,1),(123,1),(137,1)}
        31:{1,2,5,7}:{(15,1),(53,1),(55,1),(237,1),(310,1)}
        32:{2,3,4,6}:{(16,1),(58,1),(59,1),(60,1),(141,1),(152,1),(158,1),(272,1)}
        33:{1,3,5}:{(16,1),(17,1),(59,1)}
        34:{1,3,4,7}:{(16,1),(18,1),(60,1),(62,1),(286,1)}
        35:{1,2,4,5,6}:{(17,1),(61,1),(64,1),(65,1),(69,1),(141,1),(164,1),(172,1),(258,1),(260,1),(290,1),(379,1),(387,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(62,1),(65,1),(66,1),(142,1),(156,1)}
        37:{1,2,4,6,7}:{(18,1),(19,1),(63,1),(65,1),(66,1),(174,1),(257,1),(454,1),(513,1)}
        38:{2,4,5,6}:{(20,1),(68,1),(69,1),(70,1),(75,1),(141,1),(164,1),(179,1),(258,1)}
        39:{1,3,4,5,7}:{(20,1),(70,1),(71,1),(77,1),(143,1),(165,1),(180,1),(259,1),(380,1),(382,1),(460,1)}
        40:{1,2,3,5}:{(22,1),(72,1),(79,1),(170,1)}
        41:{2,4,5}:{(21,1),(24,1),(74,1),(75,1)}
        42:{1,3,4,6}:{(21,1),(26,1),(75,1),(77,1),(443,1),(458,1)}
        43:{1,3,4,5,7}:{(21,1),(27,1),(76,1),(77,1),(78,1),(90,1),(180,1),(191,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(72,1),(79,1),(80,1),(183,1)}
        45:{1,2,3,7}:{(22,1),(80,1),(286,1)}
        46:{1,3,5}:{(23,1),(24,1),(74,1),(79,1)}
        47:{1,3,4,7}:{(23,1),(25,1),(80,1),(83,1),(176,1),(286,1)}
        48:{2,3,5,6}:{(24,1),(26,1),(75,1),(82,1),(85,1),(86,1),(164,1),(179,1),(272,1)}
        49:{2,3,5,7}:{(24,1),(25,1),(27,1),(76,1),(83,1),(86,1)}
        50:{2,3,4,6,7}:{(25,1),(28,1),(84,1),(86,1),(87,1),(178,1),(190,1),(274,1),(300,1),(304,1),(375,1),(396,1),(399,1),(457,1)}
        51:{1,3,5,7}:{(26,1),(29,1),(77,1),(85,1),(88,1),(356,1),(460,1)}
        52:{1,3,6}:{(27,1),(30,1),(86,1)}
        53:{1,3,5,7}:{(28,1),(31,1),(87,1),(89,1),(90,1),(358,1),(473,1)}
        54:{1,2,4,6,7}:{(29,1),(30,1),(88,1),(91,1),(167,1),(178,1),(192,1),(281,1),(383,1)}
        55:{1,2,5,6}:{(30,1),(31,1),(89,1),(179,1),(475,1)}
        56:{1,3,4,5}:{(33,1),(93,1),(94,1),(341,1),(420,1)}
        57:{1,2,3,6}:{(92,1),(96,1),(97,1),(305,1)}
        58:{1,3,4,6}:{(32,1),(96,1),(98,1),(99,1),(193,1),(197,1),(208,1),(305,1)}
        59:{2,3,5}:{(32,1),(33,1),(93,1),(98,1)}
        60:{2,3,4,7}:{(32,1),(34,1),(99,1),(101,1),(199,1),(326,1)}
        61:{1,3,5,6}:{(33,1),(35,1),(94,1),(100,1),(103,1),(104,1),(228,1),(422,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(36,1),(101,1),(104,1)}
        63:{1,3,4,6,7}:{(34,1),(37,1),(102,1),(104,1),(105,1),(214,1),(230,1),(339,1),(414,1),(428,1),(486,1),(489,1)}
        64:{1,2,4,5,7}:{(35,1),(103,1),(106,1),(113,1),(199,1),(223,1),(231,1),(314,1),(316,1),(342,1),(421,1),(428,1)}
        65:{1,2,4,6}:{(36,1),(104,1),(107,1),(200,1),(214,1)}
        66:{1,2,5,7}:{(37,1),(105,1),(107,1),(233,1),(314,1)}
        67:{2,3,4,5}:{(41,1),(93,1),(108,1),(109,1),(215,1),(420,1)}
        68:{2,3,5,6}:{(38,1),(109,1),(111,1),(112,1),(422,1)}
        69:{1,4,5,6}:{(38,1),(111,1),(113,1),(120,1),(197,1),(236,1),(313,1)}
        70:{2,4,5,7}:{(38,1),(39,1),(112,1),(113,1),(114,1),(122,1),(199,1),(223,1),(237,1),(314,1)}
        71:{1,3,4,6,7}:{(39,1),(114,1),(115,1),(224,1),(336,1),(337,1),(425,1)}
        72:{1,2,4}:{(40,1),(116,1)}
        73:{1,2,3,5,7}:{(40,1),(45,1),(118,1),(119,1),(127,1),(229,1),(233,1),(487,1),(488,1),(530,1)}
        74:{1,4,5}:{(41,1),(46,1),(120,1)}
        75:{2,4,6}:{(41,1),(42,1),(48,1),(120,1),(122,1)}
        76:{2,4,5,7}:{(41,1),(43,1),(49,1),(121,1),(122,1),(123,1),(237,1)}
        77:{1,3,4,7}:{(42,1),(51,1),(122,1),(476,1),(490,1)}
        78:{1,3,4,6}:{(43,1),(52,1),(123,1),(125,1),(137,1),(248,1)}
        79:{1,2,5}:{(44,1),(46,1)}
        80:{1,2,4,7}:{(44,1),(45,1),(47,1),(127,1)}
        81:{1,2,3,6,7}:{(45,1),(119,1),(128,1),(129,1),(339,1),(350,1),(437,1),(531,1)}
        82:{1,3,5,6}:{(46,1),(48,1),(120,1),(126,1),(130,1),(131,1),(228,1),(236,1)}
        83:{1,3,5,7}:{(46,1),(47,1),(49,1),(121,1),(127,1),(131,1)}
        84:{1,3,4,6,7}:{(47,1),(50,1),(128,1),(131,1),(132,1),(230,1),(235,1),(243,1),(245,1),(339,1),(350,1),(428,1)}
        85:{2,3,5,7}:{(48,1),(51,1),(122,1),(130,1),(133,1),(223,1),(237,1),(326,1)}
        86:{2,3,6}:{(49,1),(52,1),(123,1),(131,1)}
        87:{2,3,5,7}:{(50,1),(53,1),(132,1),(134,1),(135,1),(237,1),(328,1),(348,1),(435,1)}
        88:{1,3,6,7}:{(51,1),(52,1),(54,1),(133,1),(425,1)}
        89:{1,3,5,6}:{(52,1),(53,1),(55,1),(134,1),(137,1),(436,1),(438,1)}
        90:{1,4,5,7}:{(53,1),(135,1),(137,1),(403,1),(476,1)}
        91:{1,2,5,6,7}:{(54,1),(55,1),(136,1),(226,1),(237,1),(335,1),(404,1),(503,1)}
        92:{1,2,3,5}:{(57,1),(138,1),(145,1),(249,1)}
        93:{2,4,5}:{(56,1),(59,1),(140,1),(141,1)}
        94:{1,3,4,6}:{(56,1),(61,1),(141,1),(143,1),(387,1),(458,1)}
        95:{1,3,4,5,7}:{(56,1),(62,1),(142,1),(143,1),(144,1),(156,1),(259,1),(270,1)}
        96:{1,2,4,6}:{(57,1),(58,1),(138,1),(145,1),(146,1),(262,1)}
        97:{1,2,3,7}:{(57,1),(146,1),(356,1)}
        98:{1,3,5}:{(58,1),(59,1),(140,1),(145,1)}
        99:{1,3,4,7}:{(58,1),(60,1),(146,1),(149,1),(255,1),(356,1)}
       100:{2,3,5,6}:{(59,1),(61,1),(141,1),(148,1),(151,1),(152,1),(164,1),(258,1),(272,1)}
       101:{2,3,5,7}:{(59,1),(60,1),(62,1),(142,1),(149,1),(152,1)}
       102:{2,3,4,6,7}:{(60,1),(63,1),(150,1),(152,1),(153,1),(257,1),(269,1),(274,1),(370,1),(374,1),(375,1),(452,1),(455,1),(457,1)}
       103:{1,3,5,7}:{(61,1),(64,1),(143,1),(151,1),(154,1),(286,1),(460,1)}
       104:{1,3,6}:{(62,1),(65,1),(152,1)}
       105:{1,3,5,7}:{(63,1),(66,1),(153,1),(155,1),(156,1),(288,1),(511,1)}
       106:{1,2,4,6,7}:{(64,1),(65,1),(154,1),(157,1),(167,1),(257,1),(271,1),(281,1),(383,1)}
       107:{1,2,5,6}:{(65,1),(66,1),(155,1),(258,1),(513,1)}
       108:{1,3,4,5}:{(67,1),(74,1),(140,1),(159,1),(160,1),(170,1),(249,1)}
       109:{2,3,4,6}:{(67,1),(68,1),(75,1),(141,1),(160,1),(162,1),(272,1),(458,1)}
       110:{2,3,4,5,7}:{(67,1),(76,1),(142,1),(161,1),(162,1),(163,1),(191,1),(270,1),(273,1),(279,1),(303,1),(373,1),(377,1),(457,1),(459,1),(514,1)}
       111:{1,3,5,6}:{(68,1),(69,1),(160,1),(164,1),(165,1)}
       112:{2,3,5,7}:{(68,1),(70,1),(162,1),(165,1),(166,1),(460,1)}
       113:{1,4,5,7}:{(69,1),(70,1),(165,1),(167,1),(176,1),(255,1),(293,1),(363,1)}
       114:{2,4,6,7}:{(70,1),(71,1),(166,1),(167,1),(168,1),(281,1)}
       115:{1,3,5,6,7}:{(71,1),(168,1),(169,1),(180,1),(259,1),(285,1)}
       116:{1,3,4}:{(72,1),(158,1),(170,1)}
       117:{1,2,4,5}:{(72,1),(74,1),(79,1),(159,1),(170,1),(172,1)}
       118:{1,2,4,7}:{(72,1),(73,1),(171,1),(174,1),(543,1)}
       119:{1,2,3,6}:{(73,1),(174,1),(183,1),(287,1),(513,1)}
       120:{1,4,6}:{(74,1),(75,1),(82,1),(176,1)}
       121:{1,4,5,7}:{(74,1),(76,1),(83,1),(176,1),(177,1),(293,1)}
       122:{2,4,7}:{(75,1),(77,1),(85,1),(176,1)}
       123:{2,4,6}:{(76,1),(78,1),(86,1),(177,1),(179,1)}
       124:{1,3,4,6,7}:{(77,1),(78,1),(88,1),(178,1),(180,1),(192,1),(304,1)}
       125:{1,3,5,6}:{(78,1),(179,1),(180,1),(181,1),(296,1)}
       126:{1,2,5,6}:{(79,1),(82,1),(164,1),(172,1),(182,1),(183,1)}
       127:{1,2,5,7}:{(79,1),(80,1),(83,1),(183,1)}
       128:{1,2,4,6,7}:{(80,1),(81,1),(84,1),(174,1),(183,1),(184,1),(185,1),(298,1),(399,1)}
       129:{1,2,3,5,7}:{(81,1),(175,1),(184,1),(185,1),(299,1),(386,1),(469,1),(542,1),(552,1)}
       130:{1,3,5,7}:{(82,1),(85,1),(176,1),(182,1),(186,1),(286,1),(293,1)}
       131:{1,3,6}:{(83,1),(86,1),(177,1),(183,1)}
       132:{1,3,5,7}:{(84,1),(87,1),(184,1),(187,1),(188,1),(288,1),(293,1)}
       133:{2,3,6,7}:{(85,1),(86,1),(88,1),(178,1),(186,1),(281,1)}
       134:{2,3,5,6}:{(86,1),(87,1),(89,1),(179,1),(187,1),(190,1),(296,1),(394,1),(396,1)}
       135:{2,4,5,7}:{(87,1),(90,1),(188,1),(190,1),(191,1),(377,1),(457,1)}
       136:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(180,1),(189,1),(192,1),(442,1),(473,1),(474,1)}
       137:{1,4,6}:{(89,1),(90,1),(190,1)}
       138:{1,2,4}:{(92,1),(193,1)}
       139:{1,2,3,5,7}:{(92,1),(97,1),(195,1),(196,1),(204,1),(306,1),(310,1),(439,1),(440,1),(502,1)}
       140:{1,4,5}:{(93,1),(98,1),(197,1)}
       141:{2,4,6}:{(93,1),(94,1),(100,1),(197,1),(199,1)}
       142:{2,4,5,7}:{(93,1),(95,1),(101,1),(198,1),(199,1),(200,1),(314,1)}
       143:{1,3,4,7}:{(94,1),(103,1),(199,1),(428,1),(490,1)}
       144:{1,3,4,6}:{(95,1),(104,1),(200,1),(202,1),(214,1),(325,1)}
       145:{1,2,5}:{(96,1),(98,1)}
       146:{1,2,4,7}:{(96,1),(97,1),(99,1),(204,1)}
       147:{1,2,3,6,7}:{(97,1),(196,1),(205,1),(206,1),(401,1),(412,1),(485,1),(503,1)}
       148:{1,3,5,6}:{(98,1),(100,1),(197,1),(203,1),(207,1),(208,1),(305,1),(313,1)}
       149:{1,3,5,7}:{(98,1),(99,1),(101,1),(198,1),(204,1),(208,1)}
       150:{1,3,4,6,7}:{(99,1),(102,1),(205,1),(208,1),(209,1),(307,1),(312,1),(320,1),(322,1),(401,1),(412,1),(476,1)}
       151:{2,3,5,7}:{(100,1),(103,1),(199,1),(207,1),(210,1),(223,1),(314,1),(326,1)}
       152:{2,3,6}:{(101,1),(104,1),(200,1),(208,1)}
       153:{2,3,5,7}:{(102,1),(105,1),(209,1),(211,1),(212,1),(314,1),(328,1),(410,1),(483,1)}
       154:{1,3,6,7}:{(103,1),(104,1),(106,1),(210,1),(425,1)}
       155:{1,3,5,6}:{(104,1),(105,1),(107,1),(211,1),(214,1),(484,1),(486,1)}
       156:{1,4,5,7}:{(105,1),(212,1),(214,1),(341,1),(428,1)}
       157:{1,2,5,6,7}:{(106,1),(107,1),(213,1),(226,1),(314,1),(335,1),(342,1),(531,1)}
       158:{2,3,4}:{(116,1),(193,1),(215,1)}
       159:{2,4,5}:{(108,1),(215,1),(217,1)}
       160:{1,3,4,6}:{(108,1),(109,1),(111,1),(120,1),(197,1),(217,1),(219,1),(228,1),(305,1)}
       161:{1,3,4,5,7}:{(108,1),(110,1),(121,1),(198,1),(218,1),(219,1),(220,1),(229,1),(306,1),(331,1),(341,1),(355,1),(403,1),(417,1),(420,1),(428,1),(476,1),(490,1),(492,1),(532,1)}
       162:{2,3,4,7}:{(109,1),(112,1),(122,1),(199,1),(219,1),(326,1),(490,1)}
       163:{2,3,4,6}:{(110,1),(123,1),(200,1),(220,1),(222,1),(248,1),(325,1),(327,1),(354,1),(416,1),(419,1)}
       164:{2,5,6}:{(111,1),(217,1),(223,1)}
       165:{1,3,5,7}:{(111,1),(112,1),(113,1),(219,1),(223,1),(224,1)}
       166:{2,3,6,7}:{(112,1),(114,1),(224,1),(425,1)}
       167:{1,4,6,7}:{(113,1),(114,1),(224,1),(226,1)}
       168:{2,5,6,7}:{(114,1),(115,1),(226,1),(237,1),(314,1)}
       169:{1,4,5,6,7}:{(115,1),(227,1),(239,1),(316,1),(336,1),(427,1)}
       170:{1,3,5}:{(116,1),(117,1),(215,1),(228,1)}
       171:{1,3,4,7}:{(116,1),(118,1),(216,1),(229,1),(230,1),(428,1),(550,1)}
       172:{1,2,4,6}:{(117,1),(120,1),(126,1),(217,1),(228,1),(231,1)}
       173:{1,2,4,5,7}:{(117,1),(118,1),(121,1),(127,1),(218,1),(229,1),(231,1),(232,1),(233,1),(341,1),(342,1),(417,1),(428,1),(487,1),(527,1),(548,1)}
       174:{1,2,4,6}:{(118,1),(119,1),(230,1),(233,1)}
       175:{1,2,3,5,6}:{(119,1),(129,1),(233,1),(234,1),(241,1),(340,1),(344,1),(350,1),(432,1),(529,1),(530,1),(549,1)}
       176:{1,4,7}:{(120,1),(122,1),(130,1)}
       177:{1,4,6}:{(121,1),(123,1),(131,1),(236,1)}
       178:{2,4,6,7}:{(122,1),(123,1),(124,1),(133,1),(235,1),(237,1)}
       179:{2,5,6}:{(123,1),(125,1),(236,1),(237,1)}
       180:{1,3,5,7}:{(124,1),(125,1),(237,1),(239,1),(348,1)}
       181:{1,4,5,6}:{(125,1),(137,1),(238,1),(239,1),(436,1)}
       182:{1,2,5,7}:{(126,1),(130,1),(223,1),(231,1),(240,1)}
       183:{1,2,6}:{(127,1),(131,1)}
       184:{1,2,5,7}:{(128,1),(132,1),(233,1),(241,1),(435,1)}
       185:{1,2,4,7}:{(129,1),(234,1),(243,1),(428,1),(497,1)}
       186:{1,3,6,7}:{(130,1),(131,1),(133,1),(235,1),(240,1)}
       187:{1,3,5,6}:{(131,1),(132,1),(134,1),(236,1),(241,1),(245,1),(350,1)}
       188:{1,4,5,7}:{(132,1),(135,1),(245,1),(341,1),(428,1)}
       189:{2,3,5,6,7}:{(133,1),(134,1),(136,1),(237,1),(244,1),(247,1),(335,1),(348,1),(418,1),(425,1),(435,1),(437,1)}
       190:{2,4,6}:{(134,1),(135,1),(137,1),(245,1),(248,1)}
       191:{3,4,5,7}:{(135,1),(248,1),(348,1),(420,1),(490,1)}
       192:{1,4,6,7}:{(136,1),(137,1),(239,1),(247,1),(476,1)}
       193:{1,3,4}:{(138,1),(158,1),(249,1)}
       194:{1,2,4,5}:{(138,1),(140,1),(145,1),(159,1),(249,1),(251,1)}
       195:{1,2,4,7}:{(138,1),(139,1),(250,1),(253,1),(524,1)}
       196:{1,2,3,6}:{(139,1),(253,1),(262,1),(357,1),(475,1)}
       197:{1,4,6}:{(140,1),(141,1),(148,1),(255,1)}
       198:{1,4,5,7}:{(140,1),(142,1),(149,1),(255,1),(256,1),(363,1)}
       199:{2,4,7}:{(141,1),(143,1),(151,1),(255,1)}
       200:{2,4,6}:{(142,1),(144,1),(152,1),(256,1),(258,1)}
       201:{1,3,4,6,7}:{(143,1),(144,1),(154,1),(257,1),(259,1),(271,1),(374,1)}
       202:{1,3,5,6}:{(144,1),(258,1),(259,1),(260,1),(366,1)}
       203:{1,2,5,6}:{(145,1),(148,1),(164,1),(251,1),(261,1),(262,1)}
       204:{1,2,5,7}:{(145,1),(146,1),(149,1),(262,1)}
       205:{1,2,4,6,7}:{(146,1),(147,1),(150,1),(253,1),(262,1),(263,1),(264,1),(368,1),(455,1)}
       206:{1,2,3,5,7}:{(147,1),(254,1),(263,1),(264,1),(369,1),(442,1),(507,1),(523,1),(547,1)}
       207:{1,3,5,7}:{(148,1),(151,1),(255,1),(261,1),(265,1),(356,1),(363,1)}
       208:{1,3,6}:{(149,1),(152,1),(256,1),(262,1)}
       209:{1,3,5,7}:{(150,1),(153,1),(263,1),(266,1),(267,1),(358,1),(363,1)}
       210:{2,3,6,7}:{(151,1),(152,1),(154,1),(257,1),(265,1),(281,1)}
       211:{2,3,5,6}:{(152,1),(153,1),(155,1),(258,1),(266,1),(269,1),(366,1),(450,1),(452,1)}
       212:{2,4,5,7}:{(153,1),(156,1),(267,1),(269,1),(270,1),(377,1),(457,1)}
       213:{1,3,5,6,7}:{(154,1),(155,1),(157,1),(259,1),(268,1),(271,1),(386,1),(511,1),(512,1)}
       214:{1,4,6}:{(155,1),(156,1),(269,1)}
       215:{2,3,5}:{(158,1),(159,1),(170,1),(249,1),(272,1)}
       216:{2,3,4,7}:{(158,1),(171,1),(250,1),(273,1),(274,1),(457,1),(546,1)}
       217:{2,4,6}:{(159,1),(160,1),(164,1),(272,1),(275,1)}
       218:{2,4,5,7}:{(159,1),(161,1),(273,1),(275,1),(276,1),(377,1),(378,1),(457,1),(516,1),(544,1)}
       219:{1,3,4,7}:{(160,1),(162,1),(165,1),(176,1),(255,1),(275,1),(286,1),(356,1)}
       220:{1,3,4,6}:{(161,1),(163,1),(177,1),(256,1),(276,1),(278,1),(287,1),(357,1),(387,1),(400,1),(443,1),(456,1),(458,1)}
       221:{2,3,4,6,7}:{(162,1),(163,1),(166,1),(178,1),(257,1),(277,1),(279,1),(283,1),(304,1),(374,1),(375,1),(399,1),(455,1),(457,1),(464,1),(514,1)}
       222:{2,3,5,6}:{(163,1),(179,1),(258,1),(278,1),(279,1),(280,1),(296,1),(366,1),(394,1),(450,1)}
       223:{2,5,7}:{(164,1),(165,1),(275,1),(281,1)}
       224:{1,3,6,7}:{(165,1),(166,1),(167,1),(281,1)}
       225:{2,3,5,6,7}:{(166,1),(168,1),(279,1),(282,1),(283,1),(285,1),(385,1),(464,1)}
       226:{1,5,6,7}:{(167,1),(168,1),(293,1),(363,1)}
       227:{2,4,5,6,7}:{(168,1),(169,1),(283,1),(284,1),(285,1),(295,1),(365,1),(383,1),(385,1)}
       228:{1,3,6}:{(170,1),(172,1),(272,1),(286,1)}
       229:{1,3,5,7}:{(170,1),(171,1),(173,1),(273,1),(286,1),(287,1),(288,1),(541,1),(552,1)}
       230:{1,3,4,6}:{(171,1),(174,1),(274,1),(287,1),(288,1),(387,1)}
       231:{1,2,4,7}:{(172,1),(176,1),(182,1),(275,1),(286,1)}
       232:{1,2,4,6}:{(173,1),(177,1),(183,1),(276,1),(287,1),(290,1),(387,1),(456,1),(513,1)}
       233:{1,2,5}:{(174,1),(288,1)}
       234:{1,2,4,6}:{(175,1),(185,1),(291,1),(292,1),(387,1),(467,1),(543,1)}
       235:{1,4,6,7}:{(176,1),(177,1),(178,1),(186,1),(293,1)}
       236:{1,5,6}:{(177,1),(179,1),(293,1)}
       237:{2,5,7}:{(178,1),(179,1),(180,1),(293,1)}
       238:{2,4,5,6}:{(179,1),(181,1),(190,1),(294,1),(295,1),(296,1),(394,1)}
       239:{1,4,5,7}:{(180,1),(181,1),(192,1),(295,1),(473,1)}
       240:{1,2,6,7}:{(182,1),(183,1),(186,1),(281,1)}
       241:{1,2,5,6}:{(183,1),(184,1),(187,1),(298,1),(394,1)}
       242:{1,2,4,5,7}:{(184,1),(185,1),(188,1),(291,1),(298,1),(299,1),(303,1)}
       243:{1,3,4,7}:{(185,1),(292,1),(299,1),(300,1),(552,1)}
       244:{1,3,5,6,7}:{(186,1),(187,1),(189,1),(293,1),(297,1),(301,1),(386,1),(393,1),(395,1)}
       245:{1,4,6}:{(187,1),(188,1),(190,1)}
       246:{1,3,4,5,7}:{(188,1),(191,1),(299,1),(302,1),(303,1),(388,1),(393,1),(466,1)}
       247:{2,4,6,7}:{(189,1),(190,1),(192,1),(295,1),(301,1),(304,1),(457,1)}
       248:{3,4,6}:{(190,1),(191,1),(296,1)}
       249:{1,3,5}:{(193,1),(194,1),(215,1),(305,1)}
       250:{1,3,4,7}:{(193,1),(195,1),(216,1),(306,1),(307,1),(476,1),(538,1)}
       251:{1,2,4,6}:{(194,1),(197,1),(203,1),(217,1),(305,1),(308,1)}
       252:{1,2,4,5,7}:{(194,1),(195,1),(198,1),(204,1),(218,1),(306,1),(308,1),(309,1),(310,1),(355,1),(403,1),(404,1),(439,1),(476,1),(499,1),(536,1)}
       253:{1,2,4,6}:{(195,1),(196,1),(307,1),(310,1)}
       254:{1,2,3,5,6}:{(196,1),(206,1),(310,1),(311,1),(318,1),(402,1),(406,1),(412,1),(480,1),(501,1),(502,1),(537,1)}
       255:{1,4,7}:{(197,1),(199,1),(207,1)}
       256:{1,4,6}:{(198,1),(200,1),(208,1),(313,1)}
       257:{2,4,6,7}:{(199,1),(200,1),(201,1),(210,1),(312,1),(314,1)}
       258:{2,5,6}:{(200,1),(202,1),(313,1),(314,1)}
       259:{1,3,5,7}:{(201,1),(202,1),(314,1),(316,1),(410,1)}
       260:{1,4,5,6}:{(202,1),(214,1),(315,1),(316,1),(484,1)}
       261:{1,2,5,7}:{(203,1),(207,1),(223,1),(308,1),(317,1)}
       262:{1,2,6}:{(204,1),(208,1)}
       263:{1,2,5,7}:{(205,1),(209,1),(310,1),(318,1),(483,1)}
       264:{1,2,4,7}:{(206,1),(311,1),(320,1),(476,1),(525,1)}
       265:{1,3,6,7}:{(207,1),(208,1),(210,1),(312,1),(317,1)}
       266:{1,3,5,6}:{(208,1),(209,1),(211,1),(313,1),(318,1),(322,1),(412,1)}
       267:{1,4,5,7}:{(209,1),(212,1),(322,1),(403,1),(476,1)}
       268:{2,3,5,6,7}:{(210,1),(211,1),(213,1),(314,1),(321,1),(324,1),(335,1),(410,1),(418,1),(425,1),(483,1),(485,1)}
       269:{2,4,6}:{(211,1),(212,1),(214,1),(322,1),(325,1)}
       270:{3,4,5,7}:{(212,1),(325,1),(410,1),(420,1),(490,1)}
       271:{1,4,6,7}:{(213,1),(214,1),(316,1),(324,1),(428,1)}
       272:{2,3,6}:{(215,1),(217,1),(228,1),(305,1),(326,1)}
       273:{2,3,5,7}:{(215,1),(216,1),(218,1),(229,1),(306,1),(326,1),(327,1),(328,1),(534,1),(551,1)}
       274:{2,3,4,6}:{(216,1),(230,1),(307,1),(327,1),(328,1),(419,1)}
       275:{2,4,7}:{(217,1),(219,1),(223,1),(326,1)}
       276:{2,4,6}:{(218,1),(220,1),(327,1),(330,1)}
       277:{1,3,4,6,7}:{(219,1),(220,1),(221,1),(224,1),(235,1),(312,1),(329,1),(331,1),(336,1),(339,1),(401,1),(425,1),(428,1),(441,1),(476,1),(489,1),(490,1),(496,1),(532,1)}
       278:{1,3,5,6}:{(220,1),(222,1),(236,1),(313,1),(330,1),(331,1),(332,1),(422,1),(436,1),(484,1)}
       279:{2,3,5,7}:{(221,1),(222,1),(237,1),(314,1),(331,1),(333,1),(348,1),(410,1),(435,1),(483,1)}
       280:{2,4,5,6}:{(222,1),(332,1),(333,1),(334,1),(419,1)}
       281:{2,6,7}:{(223,1),(224,1)}
       282:{1,3,5,6,7}:{(224,1),(225,1),(226,1),(331,1),(335,1),(336,1),(425,1),(427,1),(496,1)}
       283:{2,4,6,7}:{(225,1),(333,1),(336,1),(337,1)}
       284:{1,4,5,6,7}:{(226,1),(227,1),(336,1),(338,1),(346,1),(408,1)}
       285:{3,5,6,7}:{(227,1),(337,1),(348,1),(410,1),(425,1)}
       286:{1,3,7}:{(228,1),(231,1),(326,1)}
       287:{1,3,6}:{(229,1),(232,1),(327,1)}
       288:{1,3,5}:{(230,1),(233,1),(328,1),(341,1)}
       289:{1,2,4,6,7}:{(231,1),(232,1),(235,1),(240,1),(329,1),(339,1),(342,1),(428,1),(489,1),(531,1),(548,1)}
       290:{1,2,5,6}:{(232,1),(233,1),(236,1),(330,1),(340,1),(342,1),(484,1)}
       291:{1,2,4,5}:{(233,1),(234,1),(341,1),(344,1),(430,1)}
       292:{1,3,4,6}:{(234,1),(243,1),(344,1),(345,1),(350,1),(549,1),(550,1)}
       293:{1,5,7}:{(235,1),(236,1),(237,1)}
       294:{1,4,5,6}:{(236,1),(238,1),(245,1),(346,1),(347,1)}
       295:{2,4,5,7}:{(237,1),(238,1),(239,1),(247,1),(346,1),(348,1),(435,1)}
       296:{3,5,6}:{(238,1),(248,1),(348,1)}
       297:{1,2,5,6,7}:{(240,1),(241,1),(244,1),(335,1),(342,1),(349,1),(427,1),(435,1)}
       298:{1,2,4,6}:{(241,1),(242,1),(245,1),(350,1),(354,1)}
       299:{1,3,5,7}:{(242,1),(243,1),(344,1),(350,1),(351,1)}
       300:{2,3,4,7}:{(243,1),(345,1),(351,1),(352,1),(497,1),(551,1)}
       301:{1,4,6,7}:{(244,1),(245,1),(247,1),(346,1),(428,1)}
       302:{1,3,4,6}:{(245,1),(246,1),(248,1),(347,1),(350,1),(354,1)}
       303:{2,4,5,7}:{(246,1),(351,1),(354,1),(355,1),(430,1),(435,1),(497,1)}
       304:{3,4,6,7}:{(247,1),(248,1),(348,1),(425,1),(490,1)}
       305:{1,3,6}:{(249,1),(251,1),(272,1),(356,1)}
       306:{1,3,5,7}:{(249,1),(250,1),(252,1),(273,1),(356,1),(357,1),(358,1),(522,1),(547,1)}
       307:{1,3,4,6}:{(250,1),(253,1),(274,1),(357,1),(358,1),(443,1)}
       308:{1,2,4,7}:{(251,1),(255,1),(261,1),(275,1),(356,1)}
       309:{1,2,4,6}:{(252,1),(256,1),(262,1),(276,1),(357,1),(360,1),(400,1),(443,1),(475,1)}
       310:{1,2,5}:{(253,1),(358,1)}
       311:{1,2,4,6}:{(254,1),(264,1),(361,1),(362,1),(443,1),(505,1),(524,1)}
       312:{1,4,6,7}:{(255,1),(256,1),(257,1),(265,1),(363,1)}
       313:{1,5,6}:{(256,1),(258,1),(363,1)}
       314:{2,5,7}:{(257,1),(258,1),(259,1),(363,1)}
       315:{2,4,5,6}:{(258,1),(260,1),(269,1),(364,1),(365,1),(366,1),(450,1)}
       316:{1,4,5,7}:{(259,1),(260,1),(271,1),(365,1),(511,1)}
       317:{1,2,6,7}:{(261,1),(262,1),(265,1),(281,1)}
       318:{1,2,5,6}:{(262,1),(263,1),(266,1),(368,1),(450,1)}
       319:{1,2,4,5,7}:{(263,1),(264,1),(267,1),(361,1),(368,1),(369,1),(373,1)}
       320:{1,3,4,7}:{(264,1),(362,1),(369,1),(370,1),(547,1)}
       321:{1,3,5,6,7}:{(265,1),(266,1),(268,1),(363,1),(367,1),(371,1),(442,1),(449,1),(451,1)}
       322:{1,4,6}:{(266,1),(267,1),(269,1)}
       323:{1,3,4,5,7}:{(267,1),(270,1),(369,1),(372,1),(373,1),(444,1),(449,1),(504,1)}
       324:{2,4,6,7}:{(268,1),(269,1),(271,1),(365,1),(371,1),(374,1),(457,1)}
       325:{3,4,6}:{(269,1),(270,1),(366,1)}
       326:{2,3,7}:{(272,1),(275,1),(286,1),(356,1)}
       327:{2,3,6}:{(273,1),(276,1),(287,1),(357,1)}
       328:{2,3,5}:{(274,1),(288,1),(358,1),(377,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(277,1),(281,1),(375,1),(378,1),(457,1),(519,1),(544,1)}
       330:{2,5,6}:{(276,1),(278,1),(378,1)}
       331:{1,3,5,7}:{(277,1),(278,1),(279,1),(293,1),(363,1),(378,1),(380,1),(460,1),(473,1),(511,1)}
       332:{1,4,5,6}:{(278,1),(280,1),(379,1),(380,1),(387,1),(443,1)}
       333:{2,4,5,7}:{(279,1),(280,1),(283,1),(380,1),(382,1),(457,1)}
       334:{3,4,5,6}:{(280,1),(296,1),(366,1),(382,1),(458,1)}
       335:{2,5,6,7}:{(281,1),(282,1),(378,1),(383,1),(519,1)}
       336:{1,4,6,7}:{(282,1),(283,1),(380,1),(383,1)}
       337:{3,4,6,7}:{(283,1),(285,1),(382,1)}
       338:{1,3,5,6,7}:{(284,1),(285,1),(384,1),(385,1),(393,1),(449,1)}
       339:{1,3,6,7}:{(286,1),(287,1),(289,1),(375,1),(386,1),(552,1)}
       340:{1,3,5,6}:{(287,1),(288,1),(290,1),(376,1),(386,1),(387,1)}
       341:{1,4,5}:{(288,1),(377,1),(387,1)}
       342:{1,2,5,7}:{(289,1),(290,1),(293,1),(378,1),(386,1),(511,1)}
       343:{1,2,4,5,6}:{(290,1),(291,1),(294,1),(298,1),(379,1),(387,1),(389,1),(390,1),(394,1),(463,1),(467,1),(518,1),(540,1)}
       344:{1,3,5}:{(291,1),(292,1),(391,1)}
       345:{2,3,4,6}:{(292,1),(300,1),(391,1),(392,1),(396,1),(467,1),(545,1),(546,1)}
       346:{1,4,5,7}:{(293,1),(294,1),(295,1),(301,1),(393,1)}
       347:{1,3,5,6}:{(294,1),(296,1),(302,1),(393,1),(394,1)}
       348:{3,5,7}:{(295,1),(296,1),(304,1)}
       349:{1,2,4,6,7}:{(297,1),(298,1),(301,1),(383,1),(389,1),(395,1),(399,1),(465,1),(519,1)}
       350:{1,3,6}:{(298,1),(299,1),(396,1)}
       351:{2,3,5,7}:{(299,1),(300,1),(303,1),(391,1),(396,1),(397,1)}
       352:{1,3,4,7}:{(300,1),(392,1),(397,1),(398,1),(520,1),(547,1)}
       353:{1,3,4,6,7}:{(301,1),(302,1),(304,1),(393,1),(395,1),(399,1),(466,1)}
       354:{2,4,6}:{(302,1),(303,1),(394,1),(396,1),(400,1)}
       355:{1,4,5,7}:{(303,1),(397,1),(400,1),(468,1),(473,1),(520,1)}
       356:{1,3,7}:{(305,1),(308,1),(326,1)}
       357:{1,3,6}:{(306,1),(309,1),(327,1)}
       358:{1,3,5}:{(307,1),(310,1),(328,1),(403,1)}
       359:{1,2,4,6,7}:{(308,1),(309,1),(312,1),(317,1),(329,1),(401,1),(404,1),(441,1),(476,1),(503,1),(536,1)}
       360:{1,2,5,6}:{(309,1),(310,1),(313,1),(330,1),(402,1),(404,1),(436,1)}
       361:{1,2,4,5}:{(310,1),(311,1),(403,1),(406,1),(478,1)}
       362:{1,3,4,6}:{(311,1),(320,1),(406,1),(407,1),(412,1),(537,1),(538,1)}
       363:{1,5,7}:{(312,1),(313,1),(314,1)}
       364:{1,4,5,6}:{(313,1),(315,1),(322,1),(408,1),(409,1)}
       365:{2,4,5,7}:{(314,1),(315,1),(316,1),(324,1),(408,1),(410,1),(483,1)}
       366:{3,5,6}:{(315,1),(325,1),(410,1)}
       367:{1,2,5,6,7}:{(317,1),(318,1),(321,1),(335,1),(404,1),(411,1),(427,1),(483,1)}
       368:{1,2,4,6}:{(318,1),(319,1),(322,1),(412,1),(416,1)}
       369:{1,3,5,7}:{(319,1),(320,1),(406,1),(412,1),(413,1)}
       370:{2,3,4,7}:{(320,1),(407,1),(413,1),(414,1),(525,1),(551,1)}
       371:{1,4,6,7}:{(321,1),(322,1),(324,1),(408,1),(476,1)}
       372:{1,3,4,6}:{(322,1),(323,1),(325,1),(409,1),(412,1),(416,1)}
       373:{2,4,5,7}:{(323,1),(413,1),(416,1),(417,1),(478,1),(483,1),(525,1)}
       374:{3,4,6,7}:{(324,1),(325,1),(410,1),(425,1),(490,1)}
       375:{2,3,6,7}:{(326,1),(327,1),(329,1),(339,1),(401,1),(418,1),(425,1),(551,1)}
       376:{2,3,5,6}:{(327,1),(328,1),(330,1),(340,1),(402,1),(418,1),(419,1),(422,1)}
       377:{2,4,5}:{(328,1),(341,1),(403,1),(419,1),(420,1)}
       378:{2,5,7}:{(329,1),(330,1),(331,1)}
       379:{2,4,5,6}:{(330,1),(332,1),(419,1),(421,1),(422,1)}
       380:{1,4,5,7}:{(331,1),(332,1),(333,1),(336,1),(421,1),(428,1),(476,1)}
       381:{1,3,4,5,6}:{(332,1),(334,1),(347,1),(409,1),(422,1),(423,1),(424,1),(429,1),(477,1),(494,1)}
       382:{3,4,5,7}:{(333,1),(334,1),(337,1),(348,1),(410,1),(490,1)}
       383:{2,4,6,7}:{(335,1),(336,1),(421,1),(425,1)}
       384:{1,3,4,6,7}:{(336,1),(337,1),(338,1),(423,1),(425,1),(426,1),(496,1)}
       385:{2,5,6,7}:{(338,1),(426,1),(427,1),(435,1),(483,1)}
       386:{1,3,5,7}:{(339,1),(340,1),(342,1),(418,1),(428,1)}
       387:{1,4,6}:{(340,1),(341,1),(419,1),(428,1)}
       388:{1,3,4,5}:{(341,1),(344,1),(420,1),(429,1),(430,1)}
       389:{1,2,4,5,7}:{(342,1),(343,1),(346,1),(349,1),(421,1),(428,1),(431,1),(435,1),(495,1),(497,1),(535,1),(548,1)}
       390:{1,3,5,6}:{(343,1),(344,1),(350,1),(422,1),(429,1),(431,1),(432,1),(549,1)}
       391:{2,3,5}:{(344,1),(345,1),(430,1),(433,1)}
       392:{1,3,4,6}:{(345,1),(352,1),(433,1),(434,1),(438,1),(498,1),(537,1),(538,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(435,1)}
       394:{2,5,6}:{(347,1),(354,1),(435,1),(436,1)}
       395:{1,3,6,7}:{(349,1),(350,1),(425,1),(431,1),(437,1)}
       396:{2,3,6}:{(350,1),(351,1),(354,1),(438,1)}
       397:{1,3,5,7}:{(351,1),(352,1),(355,1),(433,1),(438,1),(439,1)}
       398:{1,2,4,7}:{(352,1),(434,1),(439,1),(440,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(435,1),(437,1),(441,1),(497,1)}
       400:{1,4,6}:{(354,1),(355,1),(436,1),(438,1)}
       401:{1,3,6,7}:{(356,1),(357,1),(359,1),(375,1),(442,1),(547,1)}
       402:{1,3,5,6}:{(357,1),(358,1),(360,1),(376,1),(442,1),(443,1)}
       403:{1,4,5}:{(358,1),(377,1),(443,1)}
       404:{1,2,5,7}:{(359,1),(360,1),(363,1),(378,1),(442,1),(473,1)}
       405:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(368,1),(379,1),(443,1),(445,1),(446,1),(450,1),(463,1),(505,1),(518,1),(521,1)}
       406:{1,3,5}:{(361,1),(362,1),(447,1)}
       407:{2,3,4,6}:{(362,1),(370,1),(447,1),(448,1),(452,1),(505,1),(545,1),(546,1)}
       408:{1,4,5,7}:{(363,1),(364,1),(365,1),(371,1),(449,1)}
       409:{1,3,5,6}:{(364,1),(366,1),(372,1),(449,1),(450,1)}
       410:{3,5,7}:{(365,1),(366,1),(374,1)}
       411:{1,2,4,6,7}:{(367,1),(368,1),(371,1),(383,1),(445,1),(451,1),(455,1),(465,1),(519,1)}
       412:{1,3,6}:{(368,1),(369,1),(452,1)}
       413:{2,3,5,7}:{(369,1),(370,1),(373,1),(447,1),(452,1),(453,1)}
       414:{1,3,4,7}:{(370,1),(448,1),(453,1),(454,1),(539,1),(552,1)}
       415:{1,3,4,6,7}:{(371,1),(372,1),(374,1),(449,1),(451,1),(455,1),(504,1)}
       416:{2,4,6}:{(372,1),(373,1),(450,1),(452,1),(456,1)}
       417:{1,4,5,7}:{(373,1),(453,1),(456,1),(506,1),(511,1),(539,1)}
       418:{2,3,5,7}:{(375,1),(376,1),(378,1),(386,1),(442,1),(457,1),(460,1)}
       419:{2,4,6}:{(376,1),(377,1),(387,1),(443,1),(457,1),(458,1)}
       420:{3,4,5}:{(377,1),(458,1)}
       421:{2,4,5,7}:{(378,1),(379,1),(380,1),(383,1),(457,1),(460,1)}
       422:{3,5,6}:{(379,1),(458,1),(460,1)}
       423:{1,3,4,5,7}:{(380,1),(381,1),(382,1),(384,1),(393,1),(449,1),(460,1),(462,1),(466,1),(504,1),(517,1)}
       424:{2,4,5,6}:{(381,1),(394,1),(450,1),(461,1),(462,1),(463,1),(467,1),(505,1),(518,1)}
       425:{3,6,7}:{(383,1),(460,1)}
       426:{2,4,6,7}:{(384,1),(385,1),(462,1),(464,1),(465,1),(519,1)}
       427:{1,5,6,7}:{(385,1),(465,1),(473,1),(511,1)}
       428:{1,4,7}:{(386,1),(387,1),(457,1)}
       429:{1,3,4,6}:{(387,1),(388,1),(390,1),(458,1),(466,1),(467,1)}
       430:{2,4,5}:{(388,1),(391,1),(467,1),(468,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(395,1),(460,1),(466,1),(469,1),(552,1)}
       432:{2,3,5,6}:{(390,1),(391,1),(394,1),(396,1),(467,1),(469,1),(470,1),(518,1),(545,1)}
       433:{1,3,5}:{(391,1),(392,1),(468,1),(471,1)}
       434:{1,2,4,6}:{(392,1),(398,1),(471,1),(472,1),(475,1),(524,1)}
       435:{2,5,7}:{(393,1),(394,1),(399,1),(473,1)}
       436:{1,5,6}:{(394,1),(400,1),(473,1)}
       437:{2,3,6,7}:{(395,1),(396,1),(399,1),(469,1),(474,1),(519,1)}
       438:{1,3,6}:{(396,1),(397,1),(400,1),(475,1)}
       439:{1,2,5,7}:{(397,1),(398,1),(471,1),(475,1)}
       440:{1,2,3,7}:{(398,1),(472,1),(547,1)}
       441:{1,4,6,7}:{(399,1),(400,1),(473,1),(474,1),(520,1)}
       442:{1,3,5,7}:{(401,1),(402,1),(404,1),(418,1),(476,1)}
       443:{1,4,6}:{(402,1),(403,1),(419,1),(476,1)}
       444:{1,3,4,5}:{(403,1),(406,1),(420,1),(477,1),(478,1)}
       445:{1,2,4,5,7}:{(404,1),(405,1),(408,1),(411,1),(421,1),(476,1),(479,1),(483,1),(495,1),(525,1),(535,1),(536,1)}
       446:{1,3,5,6}:{(405,1),(406,1),(412,1),(422,1),(477,1),(479,1),(480,1),(537,1)}
       447:{2,3,5}:{(406,1),(407,1),(478,1),(481,1)}
       448:{1,3,4,6}:{(407,1),(414,1),(481,1),(482,1),(486,1),(526,1),(549,1),(550,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(410,1),(415,1),(483,1)}
       450:{2,5,6}:{(409,1),(416,1),(483,1),(484,1)}
       451:{1,3,6,7}:{(411,1),(412,1),(425,1),(479,1),(485,1)}
       452:{2,3,6}:{(412,1),(413,1),(416,1),(486,1)}
       453:{1,3,5,7}:{(413,1),(414,1),(417,1),(481,1),(486,1),(487,1)}
       454:{1,2,4,7}:{(414,1),(482,1),(487,1),(488,1)}
       455:{2,4,6,7}:{(415,1),(416,1),(483,1),(485,1),(489,1),(525,1)}
       456:{1,4,6}:{(416,1),(417,1),(484,1),(486,1)}
       457:{2,4,7}:{(418,1),(419,1),(428,1),(476,1),(490,1)}
       458:{3,4,6}:{(419,1),(420,1),(422,1),(490,1)}
       459:{2,3,4,5}:{(420,1),(430,1),(478,1),(491,1),(492,1),(534,1)}
       460:{3,5,7}:{(421,1),(422,1),(425,1),(490,1)}
       461:{2,3,5,6}:{(422,1),(424,1),(491,1),(493,1),(494,1)}
       462:{2,4,5,7}:{(423,1),(424,1),(426,1),(435,1),(483,1),(493,1),(495,1),(497,1),(525,1),(535,1)}
       463:{1,4,5,6}:{(424,1),(436,1),(484,1),(494,1),(495,1),(498,1),(526,1)}
       464:{2,3,6,7}:{(425,1),(426,1),(493,1),(496,1)}
       465:{1,4,6,7}:{(426,1),(427,1),(495,1),(496,1)}
       466:{1,3,4,7}:{(428,1),(429,1),(431,1),(490,1),(497,1)}
       467:{2,4,6}:{(429,1),(430,1),(432,1),(497,1),(498,1)}
       468:{1,4,5}:{(430,1),(433,1),(498,1)}
       469:{2,3,5,7}:{(431,1),(432,1),(435,1),(437,1),(497,1),(500,1),(535,1),(551,1)}
       470:{1,3,5,6}:{(432,1),(433,1),(436,1),(438,1),(498,1),(500,1),(501,1),(537,1)}
       471:{1,2,5}:{(433,1),(434,1)}
       472:{1,2,3,6}:{(434,1),(440,1),(502,1),(537,1)}
       473:{1,5,7}:{(435,1),(436,1),(441,1)}
       474:{1,3,6,7}:{(437,1),(438,1),(441,1),(500,1),(503,1)}
       475:{1,2,6}:{(438,1),(439,1)}
       476:{1,4,7}:{(442,1),(443,1),(457,1)}
       477:{1,3,4,6}:{(443,1),(444,1),(446,1),(458,1),(504,1),(505,1)}
       478:{2,4,5}:{(444,1),(447,1),(505,1),(506,1)}
       479:{1,3,5,7}:{(445,1),(446,1),(451,1),(460,1),(504,1),(507,1),(547,1)}
       480:{2,3,5,6}:{(446,1),(447,1),(450,1),(452,1),(505,1),(507,1),(508,1),(518,1),(545,1)}
       481:{1,3,5}:{(447,1),(448,1),(506,1),(509,1)}
       482:{1,2,4,6}:{(448,1),(454,1),(509,1),(510,1),(513,1),(543,1)}
       483:{2,5,7}:{(449,1),(450,1),(455,1),(511,1)}
       484:{1,5,6}:{(450,1),(456,1),(511,1)}
       485:{2,3,6,7}:{(451,1),(452,1),(455,1),(507,1),(512,1),(519,1)}
       486:{1,3,6}:{(452,1),(453,1),(456,1),(513,1)}
       487:{1,2,5,7}:{(453,1),(454,1),(509,1),(513,1)}
       488:{1,2,3,7}:{(454,1),(510,1),(552,1)}
       489:{1,4,6,7}:{(455,1),(456,1),(511,1),(512,1),(539,1)}
       490:{3,4,7}:{(457,1),(458,1),(460,1)}
       491:{2,3,4,6}:{(458,1),(459,1),(461,1),(467,1),(505,1),(514,1),(515,1),(545,1)}
       492:{1,3,4,5}:{(459,1),(468,1),(506,1),(515,1),(516,1),(522,1),(541,1)}
       493:{2,3,5,7}:{(460,1),(461,1),(462,1),(464,1),(514,1),(517,1)}
       494:{1,3,5,6}:{(461,1),(463,1),(515,1),(517,1),(518,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(465,1),(473,1),(511,1),(517,1),(520,1),(539,1)}
       496:{1,3,6,7}:{(464,1),(465,1),(517,1),(519,1)}
       497:{2,4,7}:{(466,1),(467,1),(469,1),(520,1)}
       498:{1,4,6}:{(467,1),(468,1),(470,1),(520,1)}
       499:{1,2,4,5}:{(468,1),(471,1),(516,1),(521,1),(522,1),(524,1)}
       500:{1,3,5,7}:{(469,1),(470,1),(473,1),(474,1),(520,1),(523,1),(547,1)}
       501:{1,2,5,6}:{(470,1),(471,1),(475,1),(518,1),(521,1),(523,1)}
       502:{1,2,3,5}:{(471,1),(472,1),(522,1),(524,1)}
       503:{1,2,6,7}:{(474,1),(475,1),(519,1),(523,1)}
       504:{1,3,4,7}:{(476,1),(477,1),(479,1),(490,1),(525,1)}
       505:{2,4,6}:{(477,1),(478,1),(480,1),(525,1),(526,1)}
       506:{1,4,5}:{(478,1),(481,1),(526,1)}
       507:{2,3,5,7}:{(479,1),(480,1),(483,1),(485,1),(525,1),(528,1),(535,1),(551,1)}
       508:{1,3,5,6}:{(480,1),(481,1),(484,1),(486,1),(526,1),(528,1),(529,1),(549,1)}
       509:{1,2,5}:{(481,1),(482,1)}
       510:{1,2,3,6}:{(482,1),(488,1),(530,1),(549,1)}
       511:{1,5,7}:{(483,1),(484,1),(489,1)}
       512:{1,3,6,7}:{(485,1),(486,1),(489,1),(528,1),(531,1)}
       513:{1,2,6}:{(486,1),(487,1)}
       514:{2,3,4,7}:{(490,1),(491,1),(493,1),(497,1),(525,1),(532,1),(551,1)}
       515:{1,3,4,6}:{(491,1),(492,1),(494,1),(498,1),(526,1),(532,1),(533,1),(537,1),(549,1)}
       516:{2,4,5}:{(492,1),(533,1),(534,1)}
       517:{1,3,5,7}:{(493,1),(494,1),(495,1),(496,1),(532,1),(535,1)}
       518:{2,5,6}:{(494,1),(533,1),(535,1)}
       519:{2,6,7}:{(496,1),(535,1)}
       520:{1,4,7}:{(497,1),(498,1),(500,1)}
       521:{1,2,4,6}:{(498,1),(499,1),(501,1),(533,1),(536,1),(537,1)}
       522:{1,3,5}:{(499,1),(534,1),(537,1),(538,1)}
       523:{1,2,5,7}:{(500,1),(501,1),(503,1),(535,1),(536,1)}
       524:{1,2,4}:{(502,1),(538,1)}
       525:{2,4,7}:{(504,1),(505,1),(507,1),(539,1)}
       526:{1,4,6}:{(505,1),(506,1),(508,1),(539,1)}
       527:{1,2,4,5}:{(506,1),(509,1),(516,1),(540,1),(541,1),(543,1)}
       528:{1,3,5,7}:{(507,1),(508,1),(511,1),(512,1),(539,1),(542,1),(552,1)}
       529:{1,2,5,6}:{(508,1),(509,1),(513,1),(518,1),(540,1),(542,1)}
       530:{1,2,3,5}:{(509,1),(510,1),(541,1),(543,1)}
       531:{1,2,6,7}:{(512,1),(513,1),(519,1),(542,1)}
       532:{1,3,4,7}:{(514,1),(515,1),(517,1),(520,1),(539,1),(544,1),(547,1),(552,1)}
       533:{2,4,6}:{(515,1),(516,1),(518,1),(544,1),(545,1)}
       534:{2,3,5}:{(516,1),(522,1),(541,1),(545,1),(546,1)}
       535:{2,5,7}:{(517,1),(518,1),(519,1),(544,1)}
       536:{1,2,4,7}:{(520,1),(521,1),(523,1),(544,1),(547,1)}
       537:{1,3,6}:{(521,1),(522,1),(545,1),(547,1)}
       538:{1,3,4}:{(522,1),(524,1),(546,1)}
       539:{1,4,7}:{(525,1),(526,1),(528,1)}
       540:{1,2,4,6}:{(526,1),(527,1),(529,1),(533,1),(548,1),(549,1)}
       541:{1,3,5}:{(527,1),(534,1),(549,1),(550,1)}
       542:{1,2,5,7}:{(528,1),(529,1),(531,1),(535,1),(548,1)}
       543:{1,2,4}:{(530,1),(550,1)}
       544:{2,4,7}:{(532,1),(533,1),(535,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(537,1),(549,1),(551,1)}
       546:{2,3,4}:{(534,1),(538,1),(550,1)}
       547:{1,3,7}:{(536,1),(537,1),(551,1)}
       548:{1,2,4,7}:{(539,1),(540,1),(542,1),(544,1),(552,1)}
       549:{1,3,6}:{(540,1),(541,1),(545,1),(552,1)}
       550:{1,3,4}:{(541,1),(543,1),(546,1)}
       551:{2,3,7}:{(544,1),(545,1),(547,1),(552,1)}
       552:{1,3,7}:{(548,1),(549,1),(551,1)}

2152 :   0:{1,2,3,5,7}:{(2,1),(3,1),(20,1),(24,1),(196,1),(200,1),(294,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(32,1),(37,1),(85,1),(163,1),(166,1),(168,1),(179,1),(241,1),(263,1)}
         2:{1,2,3,6}:{(0,1),(10,1),(40,1),(334,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(10,1),(244,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(48,1),(52,1),(136,1),(140,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(20,1),(48,1),(60,1),(65,1),(110,1),(122,1),(139,1),(199,1),(213,1),(215,1),(227,1),(287,1),(308,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(17,1),(56,1),(123,1),(211,1),(228,1),(288,1)}
         7:{1,3,4,7}:{(3,1),(14,1),(19,1),(20,1),(139,1),(290,1)}
         8:{1,2,3,6,7}:{(2,1),(21,1),(22,1),(67,1),(143,1),(200,1),(236,1),(283,1),(365,1),(398,1)}
         9:{1,2,3,5,6}:{(2,1),(21,1),(23,1),(24,1),(66,1),(70,1),(72,1),(143,1),(147,1),(196,1),(283,1),(297,1),(357,1),(363,1),(396,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(19,1),(24,1)}
        11:{1,2,4,5,7}:{(3,1),(15,1),(20,1),(24,1),(25,1),(65,1),(74,1),(139,1),(287,1),(291,1),(294,1),(364,1)}
        12:{1,2,3,6}:{(4,1),(29,1),(77,1),(280,1)}
        13:{1,2,4,7}:{(4,1),(26,1),(29,1),(182,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(168,1),(260,1)}
        15:{2,4,5,7}:{(5,1),(32,1),(33,1),(85,1),(89,1),(168,1),(261,1),(346,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(34,1),(40,1),(77,1),(98,1),(152,1),(167,1),(275,1),(329,1)}
        17:{2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(255,1),(271,1),(325,1)}
        18:{2,3,4,6,7}:{(6,1),(35,1),(37,1),(87,1),(93,1),(168,1),(259,1),(263,1),(265,1),(276,1),(330,1)}
        19:{1,3,4,6}:{(7,1),(10,1),(31,1),(39,1),(40,1),(98,1)}
        20:{1,3,5,7}:{(7,1),(11,1),(32,1),(39,1),(40,1),(331,1),(385,1)}
        21:{1,2,3,5,7}:{(8,1),(9,1),(41,1),(42,1),(99,1),(101,1),(192,1),(336,1),(385,1),(407,1)}
        22:{1,2,4,6,7}:{(8,1),(10,1),(38,1),(41,1),(42,1),(102,1),(248,1),(276,1),(324,1),(334,1)}
        23:{1,2,4,6}:{(9,1),(41,1),(43,1),(44,1),(98,1),(184,1),(244,1),(406,1)}
        24:{1,2,5}:{(10,1),(39,1)}
        25:{1,2,4,6}:{(11,1),(33,1),(40,1),(45,1),(98,1),(329,1),(334,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(47,1),(48,1),(199,1),(230,1)}
        27:{1,2,3,6,7}:{(12,1),(49,1),(50,1),(112,1),(140,1),(203,1),(223,1),(296,1),(323,1),(379,1)}
        28:{1,2,3,5,6}:{(12,1),(49,1),(51,1),(52,1),(111,1),(115,1),(117,1),(136,1),(203,1),(207,1),(223,1),(237,1),(315,1),(321,1),(377,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(47,1),(52,1)}
        30:{1,2,4,5,7}:{(13,1),(15,1),(48,1),(52,1),(53,1),(110,1),(119,1),(199,1),(227,1),(231,1),(234,1),(322,1)}
        31:{2,3,4,6}:{(14,1),(19,1),(47,1),(55,1),(56,1),(123,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(20,1),(48,1),(55,1),(56,1),(306,1),(373,1)}
        33:{2,4,6}:{(15,1),(16,1),(56,1),(57,1)}
        34:{1,3,5,6}:{(16,1),(17,1),(57,1),(59,1),(60,1),(126,1),(316,1),(358,1)}
        35:{1,3,4,6,7}:{(16,1),(18,1),(58,1),(60,1),(67,1),(112,1),(128,1),(139,1),(199,1),(215,1),(217,1),(308,1),(311,1),(320,1),(362,1)}
        36:{2,4,5,6}:{(17,1),(59,1),(62,1),(63,1),(123,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(60,1),(63,1),(301,1),(317,1),(359,1)}
        38:{1,3,4,6,7}:{(19,1),(22,1),(54,1),(64,1),(67,1),(68,1),(134,1),(139,1),(143,1),(201,1),(295,1),(356,1),(362,1),(398,1),(411,1)}
        39:{1,3,5}:{(19,1),(24,1),(55,1),(65,1)}
        40:{1,3,6}:{(20,1),(25,1),(56,1)}
        41:{1,2,4,7}:{(21,1),(23,1),(68,1),(139,1),(233,1),(411,1)}
        42:{1,2,5,7}:{(22,1),(24,1),(64,1),(70,1),(317,1),(357,1)}
        43:{1,3,4,6}:{(23,1),(68,1),(71,1),(72,1),(143,1),(290,1),(363,1)}
        44:{1,2,4,5}:{(23,1),(24,1),(65,1),(72,1),(137,1),(357,1),(395,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(57,1),(66,1),(74,1),(358,1)}
        46:{1,2,4,6,7}:{(25,1),(58,1),(67,1),(74,1),(139,1),(362,1),(364,1),(365,1)}
        47:{1,3,4,6}:{(26,1),(29,1),(31,1),(76,1),(77,1),(152,1)}
        48:{1,3,5,7}:{(26,1),(30,1),(32,1),(76,1),(77,1),(277,1),(355,1)}
        49:{1,2,3,5,7}:{(27,1),(28,1),(78,1),(79,1),(153,1),(155,1),(254,1),(282,1),(355,1),(394,1)}
        50:{1,2,4,6,7}:{(27,1),(29,1),(75,1),(78,1),(79,1),(156,1),(186,1),(270,1),(280,1),(330,1)}
        51:{1,2,4,6}:{(28,1),(78,1),(80,1),(81,1),(152,1),(182,1),(246,1),(393,1)}
        52:{1,2,5}:{(29,1),(76,1)}
        53:{1,2,4,6}:{(30,1),(33,1),(77,1),(82,1),(152,1),(275,1),(280,1)}
        54:{2,3,4,6,7}:{(31,1),(38,1),(75,1),(84,1),(87,1),(100,1),(154,1),(164,1),(168,1),(188,1),(250,1),(259,1),(276,1),(330,1),(339,1),(391,1),(410,1)}
        55:{2,3,5}:{(31,1),(39,1),(76,1),(85,1)}
        56:{2,3,6}:{(32,1),(33,1),(40,1),(77,1)}
        57:{2,5,6}:{(33,1),(34,1),(89,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(87,1),(89,1),(168,1),(346,1),(349,1)}
        59:{1,4,5,6}:{(34,1),(36,1),(88,1),(92,1),(98,1),(152,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(37,1),(89,1),(92,1),(171,1),(352,1),(382,1)}
        61:{2,3,5,6,7}:{(37,1),(90,1),(93,1),(176,1),(265,1),(268,1)}
        62:{3,4,5,6}:{(36,1),(94,1),(167,1),(255,1)}
        63:{2,4,5,7}:{(36,1),(37,1),(92,1),(93,1),(94,1),(168,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(42,1),(84,1),(95,1),(96,1),(380,1),(382,1)}
        65:{1,4,5}:{(39,1),(85,1),(98,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(45,1),(86,1),(98,1),(99,1)}
        67:{1,3,6,7}:{(40,1),(46,1),(87,1),(99,1),(385,1)}
        68:{1,3,4,7}:{(41,1),(43,1),(100,1),(101,1),(385,1)}
        69:{1,2,4,5,7}:{(41,1),(42,1),(44,1),(95,1),(101,1),(102,1),(179,1)}
        70:{1,2,5,6}:{(42,1),(96,1),(102,1),(271,1),(334,1)}
        71:{2,3,4,6}:{(43,1),(100,1),(105,1),(106,1),(184,1),(188,1),(260,1),(345,1)}
        72:{1,3,5}:{(43,1),(44,1),(106,1)}
        73:{1,2,4,5,6}:{(44,1),(45,1),(88,1),(98,1),(102,1),(107,1),(108,1),(174,1),(177,1),(184,1),(266,1),(271,1),(332,1),(381,1),(386,1),(406,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(89,1),(99,1),(382,1)}
        75:{1,3,4,6,7}:{(47,1),(50,1),(54,1),(109,1),(112,1),(113,1),(141,1),(194,1),(199,1),(203,1),(235,1),(314,1),(320,1),(379,1),(405,1)}
        76:{1,3,5}:{(47,1),(52,1),(55,1),(110,1)}
        77:{1,3,6}:{(48,1),(53,1),(56,1)}
        78:{1,2,4,7}:{(49,1),(51,1),(113,1),(199,1),(293,1),(405,1)}
        79:{1,2,5,7}:{(50,1),(52,1),(109,1),(115,1),(315,1),(359,1)}
        80:{1,3,4,6}:{(51,1),(113,1),(116,1),(117,1),(203,1),(230,1),(321,1)}
        81:{1,2,4,5}:{(51,1),(52,1),(110,1),(117,1),(197,1),(315,1),(376,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(57,1),(111,1),(119,1),(316,1)}
        83:{1,2,4,6,7}:{(53,1),(58,1),(112,1),(119,1),(199,1),(320,1),(322,1),(323,1)}
        84:{2,3,5,7}:{(54,1),(55,1),(64,1),(109,1),(120,1),(121,1),(301,1),(317,1),(359,1),(368,1)}
        85:{2,4,5}:{(55,1),(65,1),(110,1),(122,1),(123,1)}
        86:{2,3,5,6}:{(55,1),(56,1),(57,1),(66,1),(111,1),(123,1),(124,1),(126,1)}
        87:{2,3,6,7}:{(56,1),(58,1),(67,1),(112,1),(124,1),(217,1),(373,1)}
        88:{2,4,5,6}:{(57,1),(59,1),(123,1),(126,1),(127,1)}
        89:{2,5,7}:{(57,1),(58,1),(60,1)}
        90:{1,3,5,6,7}:{(60,1),(61,1),(125,1),(128,1),(217,1),(311,1),(313,1)}
        91:{1,3,4,5,6}:{(59,1),(62,1),(126,1),(129,1),(130,1),(138,1),(198,1),(218,1),(224,1),(284,1),(299,1),(366,1),(400,1)}
        92:{1,4,5,7}:{(59,1),(60,1),(63,1),(127,1),(128,1),(139,1),(199,1)}
        93:{2,4,6,7}:{(61,1),(63,1),(128,1),(132,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(132,1),(215,1),(301,1)}
        95:{1,4,5,7}:{(64,1),(65,1),(120,1),(134,1),(139,1),(395,1),(411,1)}
        96:{1,3,5,6}:{(64,1),(70,1),(121,1),(134,1),(143,1),(295,1),(358,1)}
        97:{1,3,4,5}:{(65,1),(72,1),(122,1),(137,1),(138,1),(395,1),(399,1)}
        98:{1,4,6}:{(65,1),(66,1),(123,1),(139,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(74,1),(124,1),(139,1)}
       100:{2,3,4,7}:{(68,1),(71,1),(141,1),(142,1),(233,1),(373,1)}
       101:{1,3,5,7}:{(68,1),(69,1),(72,1),(142,1),(143,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(134,1),(143,1),(228,1)}
       103:{1,2,5,6,7}:{(70,1),(74,1),(125,1),(135,1),(144,1),(313,1),(317,1),(365,1),(375,1),(397,1)}
       104:{1,2,3,6}:{(136,1),(140,1),(145,1),(321,1)}
       105:{1,3,4,6}:{(71,1),(141,1),(145,1),(146,1),(230,1),(232,1),(235,1),(321,1)}
       106:{2,3,5}:{(71,1),(72,1),(137,1),(146,1)}
       107:{1,3,5,6}:{(72,1),(73,1),(126,1),(138,1),(143,1),(147,1),(148,1),(363,1),(400,1)}
       108:{1,2,4,5,7}:{(73,1),(74,1),(127,1),(139,1),(144,1),(148,1),(222,1),(225,1),(233,1),(312,1),(317,1),(364,1),(397,1),(401,1),(411,1)}
       109:{1,3,5,7}:{(75,1),(76,1),(79,1),(84,1),(149,1),(150,1),(350,1),(352,1)}
       110:{1,4,5}:{(76,1),(85,1),(152,1)}
       111:{1,3,5,6}:{(76,1),(77,1),(82,1),(86,1),(152,1),(153,1)}
       112:{1,3,6,7}:{(77,1),(83,1),(87,1),(153,1),(355,1)}
       113:{1,3,4,7}:{(78,1),(80,1),(154,1),(155,1),(355,1)}
       114:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(149,1),(155,1),(156,1),(241,1)}
       115:{1,2,5,6}:{(79,1),(150,1),(156,1),(280,1),(325,1)}
       116:{2,3,4,6}:{(80,1),(154,1),(159,1),(160,1),(246,1),(250,1),(260,1),(345,1)}
       117:{1,3,5}:{(80,1),(81,1),(160,1)}
       118:{1,2,4,5,6}:{(81,1),(82,1),(88,1),(152,1),(156,1),(161,1),(162,1),(174,1),(239,1),(246,1),(266,1),(278,1),(325,1),(351,1),(386,1),(393,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(89,1),(153,1),(352,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(95,1),(149,1),(163,1),(164,1),(168,1),(388,1),(410,1)}
       121:{2,3,5,6}:{(84,1),(96,1),(150,1),(164,1),(188,1),(250,1),(255,1),(271,1),(325,1)}
       122:{3,4,5}:{(85,1),(167,1)}
       123:{2,4,6}:{(85,1),(86,1),(98,1),(152,1),(167,1),(168,1)}
       124:{2,3,5,7}:{(86,1),(87,1),(89,1),(99,1),(153,1),(168,1),(171,1)}
       125:{2,5,6,7}:{(89,1),(90,1),(169,1),(349,1)}
       126:{3,5,6}:{(88,1),(167,1),(171,1)}
       127:{2,4,5,7}:{(88,1),(89,1),(92,1),(168,1),(169,1),(171,1)}
       128:{1,4,6,7}:{(90,1),(92,1),(93,1),(169,1)}
       129:{2,4,5,6}:{(91,1),(170,1),(174,1),(175,1),(184,1),(246,1),(266,1),(271,1),(325,1)}
       130:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(171,1),(173,1),(175,1),(185,1),(247,1),(267,1),(272,1),(326,1),(338,1),(387,1),(409,1)}
       131:{2,4,5,6,7}:{(93,1),(172,1),(176,1),(256,1),(268,1),(392,1)}
       132:{3,4,6,7}:{(93,1),(94,1),(176,1)}
       133:{1,3,4,5,7}:{(95,1),(97,1),(101,1),(163,1),(179,1),(180,1),(185,1),(272,1)}
       134:{1,4,6}:{(95,1),(96,1),(164,1)}
       135:{1,3,5,6,7}:{(96,1),(99,1),(103,1),(165,1),(181,1),(189,1),(272,1),(335,1),(382,1),(407,1)}
       136:{1,2,3,5}:{(104,1),(182,1),(190,1),(277,1)}
       137:{2,4,5}:{(97,1),(106,1),(183,1),(184,1)}
       138:{1,3,4,6}:{(97,1),(98,1),(107,1),(167,1),(184,1),(185,1),(406,1),(408,1)}
       139:{1,4,7}:{(98,1),(99,1),(168,1)}
       140:{1,2,3,7}:{(104,1),(186,1),(355,1)}
       141:{1,3,4,7}:{(100,1),(105,1),(186,1),(187,1),(279,1),(355,1)}
       142:{2,3,5,7}:{(100,1),(101,1),(106,1),(179,1),(187,1),(188,1)}
       143:{1,3,6}:{(101,1),(102,1),(188,1)}
       144:{1,2,4,6,7}:{(102,1),(103,1),(108,1),(169,1),(181,1),(189,1),(269,1),(276,1),(349,1),(392,1)}
       145:{1,2,4,6}:{(104,1),(105,1),(182,1),(186,1),(190,1),(280,1)}
       146:{1,3,5}:{(105,1),(106,1),(183,1),(190,1)}
       147:{2,3,5,6}:{(106,1),(107,1),(184,1),(188,1),(191,1),(192,1),(266,1),(271,1),(345,1)}
       148:{1,3,5,7}:{(107,1),(108,1),(171,1),(185,1),(189,1),(192,1),(385,1),(409,1)}
       149:{1,4,5,7}:{(109,1),(110,1),(120,1),(194,1),(199,1),(376,1),(405,1)}
       150:{1,3,5,6}:{(109,1),(115,1),(121,1),(194,1),(203,1),(235,1),(316,1)}
       151:{1,3,4,5}:{(110,1),(117,1),(122,1),(197,1),(198,1),(376,1),(399,1)}
       152:{1,4,6}:{(110,1),(111,1),(123,1),(199,1)}
       153:{1,3,5,7}:{(111,1),(112,1),(119,1),(124,1),(199,1)}
       154:{2,3,4,7}:{(113,1),(116,1),(201,1),(202,1),(293,1),(373,1)}
       155:{1,3,5,7}:{(113,1),(114,1),(117,1),(202,1),(203,1)}
       156:{1,2,4,6}:{(114,1),(115,1),(194,1),(203,1),(288,1)}
       157:{1,2,5,6,7}:{(115,1),(119,1),(125,1),(195,1),(204,1),(313,1),(323,1),(359,1),(375,1),(378,1)}
       158:{1,2,3,6}:{(196,1),(200,1),(205,1),(363,1)}
       159:{1,3,4,6}:{(116,1),(201,1),(205,1),(206,1),(290,1),(292,1),(295,1),(363,1)}
       160:{2,3,5}:{(116,1),(117,1),(197,1),(206,1)}
       161:{1,3,5,6}:{(117,1),(118,1),(126,1),(198,1),(203,1),(207,1),(208,1),(321,1),(400,1)}
       162:{1,2,4,5,7}:{(118,1),(119,1),(127,1),(199,1),(204,1),(208,1),(222,1),(285,1),(293,1),(312,1),(322,1),(359,1),(378,1),(401,1),(405,1)}
       163:{3,4,5,7}:{(120,1),(122,1),(211,1),(215,1),(301,1),(399,1),(412,1)}
       164:{2,4,6}:{(120,1),(121,1),(134,1),(194,1),(211,1)}
       165:{2,3,5,6,7}:{(121,1),(124,1),(125,1),(135,1),(195,1),(212,1),(217,1),(236,1),(296,1),(301,1),(317,1),(359,1),(375,1),(403,1),(404,1)}
       166:{2,3,4,5}:{(122,1),(137,1),(197,1),(213,1),(214,1),(306,1),(399,1)}
       167:{3,4,6}:{(122,1),(123,1),(126,1),(215,1)}
       168:{2,4,7}:{(123,1),(124,1),(139,1),(199,1),(215,1)}
       169:{2,4,6,7}:{(125,1),(127,1),(128,1),(217,1)}
       170:{2,3,5,6}:{(126,1),(129,1),(214,1),(218,1),(219,1),(400,1)}
       171:{3,5,7}:{(126,1),(127,1),(215,1),(217,1)}
       172:{1,4,5,6,7}:{(128,1),(131,1),(216,1),(220,1),(225,1),(285,1),(313,1),(374,1)}
       173:{1,3,4,6,7}:{(128,1),(130,1),(132,1),(217,1),(220,1),(221,1),(309,1),(311,1),(374,1),(404,1)}
       174:{1,4,5,6}:{(129,1),(218,1),(222,1),(232,1),(292,1),(316,1),(358,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(219,1),(221,1),(222,1),(233,1),(293,1),(312,1),(317,1),(359,1)}
       176:{3,5,6,7}:{(131,1),(132,1),(301,1),(404,1)}
       177:{1,4,5,6}:{(134,1),(209,1),(224,1),(225,1),(358,1)}
       178:{1,2,3,5,7}:{(136,1),(140,1),(223,1),(226,1),(234,1),(315,1),(318,1)}
       179:{2,4,5,7}:{(133,1),(137,1),(142,1),(227,1),(228,1),(233,1),(317,1)}
       180:{1,3,4,6}:{(133,1),(134,1),(143,1),(211,1),(224,1),(228,1)}
       181:{1,4,6,7}:{(134,1),(135,1),(139,1),(212,1),(225,1),(411,1)}
       182:{1,2,4}:{(136,1),(230,1)}
       183:{1,4,5}:{(137,1),(146,1),(232,1)}
       184:{2,4,6}:{(137,1),(138,1),(147,1),(232,1),(233,1)}
       185:{1,3,4,7}:{(138,1),(139,1),(148,1),(215,1),(233,1),(411,1),(412,1)}
       186:{1,2,4,7}:{(140,1),(141,1),(145,1),(234,1)}
       187:{1,3,5,7}:{(141,1),(142,1),(146,1),(227,1),(234,1),(235,1)}
       188:{2,3,6}:{(142,1),(143,1),(228,1),(235,1)}
       189:{1,3,6,7}:{(143,1),(144,1),(148,1),(217,1),(236,1),(404,1)}
       190:{1,2,5}:{(145,1),(146,1)}
       191:{1,3,5,6}:{(146,1),(147,1),(232,1),(235,1),(237,1),(238,1),(316,1),(321,1)}
       192:{2,3,5,7}:{(147,1),(148,1),(233,1),(236,1),(238,1),(312,1),(317,1),(373,1)}
       193:{1,3,4,5,7}:{(149,1),(151,1),(155,1),(163,1),(241,1),(242,1),(247,1),(326,1)}
       194:{1,4,6}:{(149,1),(150,1),(164,1)}
       195:{1,3,5,6,7}:{(150,1),(153,1),(157,1),(165,1),(243,1),(251,1),(281,1),(326,1),(352,1),(394,1)}
       196:{1,2,3,5}:{(158,1),(244,1),(252,1),(331,1)}
       197:{2,4,5}:{(151,1),(160,1),(245,1),(246,1)}
       198:{1,3,4,6}:{(151,1),(152,1),(161,1),(167,1),(246,1),(247,1),(393,1),(408,1)}
       199:{1,4,7}:{(152,1),(153,1),(168,1)}
       200:{1,2,3,7}:{(158,1),(248,1),(385,1)}
       201:{1,3,4,7}:{(154,1),(159,1),(248,1),(249,1),(333,1),(385,1)}
       202:{2,3,5,7}:{(154,1),(155,1),(160,1),(241,1),(249,1),(250,1)}
       203:{1,3,6}:{(155,1),(156,1),(250,1)}
       204:{1,2,4,6,7}:{(156,1),(157,1),(162,1),(169,1),(243,1),(251,1),(269,1),(330,1),(349,1),(392,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(244,1),(248,1),(252,1),(334,1)}
       206:{1,3,5}:{(159,1),(160,1),(245,1),(252,1)}
       207:{2,3,5,6}:{(160,1),(161,1),(246,1),(250,1),(253,1),(254,1),(266,1),(325,1),(345,1)}
       208:{1,3,5,7}:{(161,1),(162,1),(171,1),(247,1),(251,1),(254,1),(355,1),(409,1)}
       209:{2,4,5,6}:{(164,1),(177,1),(239,1),(255,1),(256,1),(271,1),(325,1)}
       210:{2,3,4,5,7}:{(163,1),(166,1),(179,1),(241,1),(257,1),(258,1),(263,1),(341,1),(342,1),(388,1),(410,1)}
       211:{3,4,6}:{(163,1),(164,1),(255,1)}
       212:{2,4,6,7}:{(164,1),(165,1),(168,1),(181,1),(243,1),(256,1),(259,1),(410,1)}
       213:{1,3,4,5}:{(166,1),(183,1),(245,1),(261,1),(262,1),(277,1),(331,1)}
       214:{2,3,4,6}:{(166,1),(167,1),(170,1),(184,1),(246,1),(262,1),(263,1),(345,1),(408,1)}
       215:{3,4,7}:{(167,1),(168,1),(171,1)}
       216:{2,4,5,6,7}:{(169,1),(172,1),(256,1),(264,1),(268,1),(347,1)}
       217:{3,6,7}:{(169,1),(171,1)}
       218:{1,3,5,6}:{(170,1),(174,1),(262,1),(266,1),(267,1)}
       219:{2,3,5,7}:{(170,1),(171,1),(175,1),(263,1),(265,1),(267,1),(409,1)}
       220:{1,3,5,6,7}:{(172,1),(173,1),(176,1),(264,1),(268,1),(272,1),(326,1)}
       221:{2,4,6,7}:{(173,1),(175,1),(265,1),(268,1),(269,1),(349,1)}
       222:{1,4,5,7}:{(174,1),(175,1),(267,1),(269,1),(279,1),(333,1),(352,1),(382,1)}
       223:{1,2,3,6}:{(178,1),(270,1),(280,1),(353,1)}
       224:{1,3,5,6}:{(177,1),(180,1),(255,1),(271,1),(272,1)}
       225:{1,4,5,7}:{(177,1),(181,1),(256,1),(272,1),(382,1)}
       226:{1,2,4,7}:{(178,1),(182,1),(270,1),(273,1)}
       227:{1,4,5,7}:{(179,1),(183,1),(187,1),(275,1),(279,1),(352,1)}
       228:{2,4,6}:{(179,1),(180,1),(188,1),(271,1),(275,1)}
       229:{1,3,4,6,7}:{(180,1),(181,1),(185,1),(189,1),(259,1),(272,1),(276,1)}
       230:{1,3,4}:{(182,1),(260,1),(277,1)}
       231:{1,2,4,5}:{(182,1),(183,1),(190,1),(261,1),(277,1),(278,1)}
       232:{1,4,6}:{(183,1),(184,1),(191,1),(279,1)}
       233:{2,4,7}:{(184,1),(185,1),(192,1),(279,1)}
       234:{1,2,5,7}:{(186,1),(187,1),(190,1),(280,1)}
       235:{1,3,6}:{(187,1),(188,1),(275,1),(280,1)}
       236:{2,3,6,7}:{(188,1),(189,1),(192,1),(276,1),(281,1),(349,1)}
       237:{1,2,5,6}:{(190,1),(191,1),(266,1),(278,1),(280,1),(282,1)}
       238:{1,3,5,7}:{(191,1),(192,1),(279,1),(281,1),(282,1),(352,1),(355,1)}
       239:{1,4,5,6}:{(194,1),(209,1),(284,1),(285,1),(316,1)}
       240:{1,2,3,5,7}:{(196,1),(200,1),(283,1),(286,1),(294,1),(357,1),(360,1)}
       241:{2,4,5,7}:{(193,1),(197,1),(202,1),(287,1),(288,1),(293,1),(359,1)}
       242:{1,3,4,6}:{(193,1),(194,1),(203,1),(211,1),(284,1),(288,1)}
       243:{1,4,6,7}:{(194,1),(195,1),(199,1),(212,1),(285,1),(405,1)}
       244:{1,2,4}:{(196,1),(290,1)}
       245:{1,4,5}:{(197,1),(206,1),(292,1)}
       246:{2,4,6}:{(197,1),(198,1),(207,1),(292,1),(293,1)}
       247:{1,3,4,7}:{(198,1),(199,1),(208,1),(215,1),(293,1),(405,1),(412,1)}
       248:{1,2,4,7}:{(200,1),(201,1),(205,1),(294,1)}
       249:{1,3,5,7}:{(201,1),(202,1),(206,1),(287,1),(294,1),(295,1)}
       250:{2,3,6}:{(202,1),(203,1),(288,1),(295,1)}
       251:{1,3,6,7}:{(203,1),(204,1),(208,1),(217,1),(296,1),(404,1)}
       252:{1,2,5}:{(205,1),(206,1)}
       253:{1,3,5,6}:{(206,1),(207,1),(292,1),(295,1),(297,1),(298,1),(358,1),(363,1)}
       254:{2,3,5,7}:{(207,1),(208,1),(293,1),(296,1),(298,1),(312,1),(359,1),(373,1)}
       255:{3,5,6}:{(209,1),(211,1),(301,1)}
       256:{2,4,5,7}:{(209,1),(212,1),(225,1),(285,1),(301,1),(317,1),(359,1)}
       257:{1,3,4,5,7}:{(210,1),(213,1),(227,1),(287,1),(303,1),(304,1),(308,1),(318,1),(360,1),(370,1),(376,1),(395,1),(399,1),(405,1),(411,1),(412,1)}
       258:{2,3,4,6}:{(210,1),(211,1),(228,1),(288,1),(300,1),(304,1),(371,1),(402,1)}
       259:{3,4,6,7}:{(211,1),(212,1),(215,1),(217,1),(301,1),(404,1),(412,1)}
       260:{2,3,4}:{(230,1),(290,1),(306,1)}
       261:{2,4,5}:{(213,1),(306,1),(307,1)}
       262:{1,3,4,6}:{(213,1),(214,1),(218,1),(232,1),(292,1),(307,1),(308,1),(321,1),(363,1)}
       263:{2,3,4,7}:{(214,1),(215,1),(219,1),(233,1),(293,1),(308,1),(373,1),(412,1)}
       264:{3,5,6,7}:{(216,1),(217,1),(301,1),(309,1)}
       265:{2,3,6,7}:{(217,1),(219,1),(221,1),(311,1),(404,1)}
       266:{2,5,6}:{(218,1),(307,1),(312,1)}
       267:{1,3,5,7}:{(218,1),(219,1),(222,1),(308,1),(311,1),(312,1)}
       268:{2,5,6,7}:{(220,1),(221,1),(313,1),(317,1),(359,1)}
       269:{1,4,6,7}:{(221,1),(222,1),(311,1),(313,1)}
       270:{1,2,4,6}:{(223,1),(226,1),(314,1),(315,1)}
       271:{2,5,6}:{(224,1),(228,1),(316,1),(317,1)}
       272:{1,3,5,7}:{(224,1),(225,1),(229,1),(301,1),(317,1)}
       273:{1,3,4,7}:{(226,1),(230,1),(302,1),(314,1),(318,1),(405,1)}
       274:{1,2,4,5,7}:{(226,1),(227,1),(231,1),(234,1),(303,1),(315,1),(318,1),(319,1),(322,1),(376,1),(378,1),(405,1)}
       275:{1,4,6}:{(227,1),(228,1),(235,1),(316,1)}
       276:{2,4,6,7}:{(228,1),(229,1),(233,1),(236,1),(317,1),(320,1)}
       277:{1,3,5}:{(230,1),(231,1),(306,1),(321,1)}
       278:{1,2,4,6}:{(231,1),(232,1),(237,1),(307,1),(321,1),(322,1)}
       279:{1,4,7}:{(232,1),(233,1),(238,1)}
       280:{1,2,6}:{(234,1),(235,1)}
       281:{1,3,6,7}:{(235,1),(236,1),(238,1),(320,1),(323,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(312,1),(322,1),(323,1)}
       283:{1,2,3,6}:{(240,1),(324,1),(334,1),(383,1)}
       284:{1,3,5,6}:{(239,1),(242,1),(255,1),(325,1),(326,1)}
       285:{1,4,5,7}:{(239,1),(243,1),(256,1),(326,1),(352,1)}
       286:{1,2,4,7}:{(240,1),(244,1),(324,1),(327,1)}
       287:{1,4,5,7}:{(241,1),(245,1),(249,1),(329,1),(333,1),(382,1)}
       288:{2,4,6}:{(241,1),(242,1),(250,1),(325,1),(329,1)}
       289:{1,3,4,6,7}:{(242,1),(243,1),(247,1),(251,1),(259,1),(326,1),(330,1)}
       290:{1,3,4}:{(244,1),(260,1),(331,1)}
       291:{1,2,4,5}:{(244,1),(245,1),(252,1),(261,1),(331,1),(332,1)}
       292:{1,4,6}:{(245,1),(246,1),(253,1),(333,1)}
       293:{2,4,7}:{(246,1),(247,1),(254,1),(333,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(334,1)}
       295:{1,3,6}:{(249,1),(250,1),(329,1),(334,1)}
       296:{2,3,6,7}:{(250,1),(251,1),(254,1),(330,1),(335,1),(349,1)}
       297:{1,2,5,6}:{(252,1),(253,1),(266,1),(332,1),(334,1),(336,1)}
       298:{1,3,5,7}:{(253,1),(254,1),(333,1),(335,1),(336,1),(382,1),(385,1)}
       299:{3,4,5,6}:{(255,1),(337,1),(338,1),(408,1)}
       300:{2,3,5,6}:{(255,1),(258,1),(271,1),(325,1),(337,1),(340,1),(341,1)}
       301:{3,5,7}:{(255,1),(256,1),(259,1)}
       302:{2,3,4,7}:{(260,1),(273,1),(327,1),(339,1),(342,1),(410,1)}
       303:{2,4,5,7}:{(257,1),(261,1),(342,1),(343,1),(346,1),(388,1),(390,1),(410,1)}
       304:{1,3,4,6}:{(257,1),(258,1),(275,1),(329,1),(340,1),(343,1),(353,1),(383,1),(393,1),(406,1),(408,1)}
       305:{2,3,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(276,1),(330,1),(341,1),(344,1),(347,1),(391,1),(410,1)}
       306:{2,3,5}:{(260,1),(261,1),(277,1),(331,1),(345,1)}
       307:{2,4,6}:{(261,1),(262,1),(266,1),(345,1),(346,1)}
       308:{1,3,4,7}:{(262,1),(263,1),(267,1),(279,1),(333,1),(346,1),(355,1),(385,1)}
       309:{3,4,6,7}:{(264,1),(338,1),(347,1)}
       310:{2,3,5,6,7}:{(264,1),(265,1),(268,1),(341,1),(347,1),(348,1)}
       311:{1,3,6,7}:{(265,1),(267,1),(269,1),(349,1)}
       312:{2,5,7}:{(266,1),(267,1),(346,1),(349,1)}
       313:{1,5,6,7}:{(268,1),(269,1),(352,1),(382,1)}
       314:{1,3,4,6}:{(270,1),(273,1),(339,1),(350,1),(353,1),(393,1)}
       315:{1,2,5}:{(270,1),(350,1)}
       316:{1,5,6}:{(271,1),(275,1),(352,1)}
       317:{2,5,7}:{(271,1),(272,1),(276,1),(352,1)}
       318:{1,3,5,7}:{(273,1),(274,1),(277,1),(342,1),(350,1),(353,1),(355,1)}
       319:{1,2,4,6}:{(274,1),(275,1),(280,1),(343,1),(351,1),(353,1),(393,1)}
       320:{1,4,6,7}:{(275,1),(276,1),(279,1),(281,1),(352,1)}
       321:{1,3,6}:{(277,1),(278,1),(345,1),(355,1)}
       322:{1,2,4,7}:{(278,1),(279,1),(282,1),(346,1),(355,1)}
       323:{1,2,6,7}:{(280,1),(281,1),(282,1),(349,1)}
       324:{1,2,4,6}:{(283,1),(286,1),(356,1),(357,1)}
       325:{2,5,6}:{(284,1),(288,1),(358,1),(359,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(301,1),(359,1)}
       327:{1,3,4,7}:{(286,1),(290,1),(302,1),(356,1),(360,1),(411,1)}
       328:{1,2,4,5,7}:{(286,1),(287,1),(291,1),(294,1),(303,1),(357,1),(360,1),(361,1),(364,1),(395,1),(397,1),(411,1)}
       329:{1,4,6}:{(287,1),(288,1),(295,1),(358,1)}
       330:{2,4,6,7}:{(288,1),(289,1),(293,1),(296,1),(359,1),(362,1)}
       331:{1,3,5}:{(290,1),(291,1),(306,1),(363,1)}
       332:{1,2,4,6}:{(291,1),(292,1),(297,1),(307,1),(363,1),(364,1)}
       333:{1,4,7}:{(292,1),(293,1),(298,1)}
       334:{1,2,6}:{(294,1),(295,1)}
       335:{1,3,6,7}:{(295,1),(296,1),(298,1),(362,1),(365,1)}
       336:{1,2,5,7}:{(297,1),(298,1),(312,1),(364,1),(365,1)}
       337:{2,4,5,6}:{(299,1),(300,1),(366,1),(367,1),(402,1)}
       338:{3,4,5,7}:{(299,1),(301,1),(309,1),(367,1),(412,1)}
       339:{2,3,4,6}:{(302,1),(314,1),(356,1),(368,1),(371,1),(402,1)}
       340:{1,3,5,6}:{(300,1),(304,1),(316,1),(358,1),(366,1),(369,1),(370,1),(400,1)}
       341:{2,3,5,7}:{(300,1),(301,1),(305,1),(317,1),(359,1),(367,1),(370,1)}
       342:{2,3,5,7}:{(302,1),(303,1),(306,1),(318,1),(360,1),(368,1),(371,1),(373,1)}
       343:{2,4,6}:{(303,1),(304,1),(369,1),(371,1)}
       344:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(311,1),(320,1),(362,1),(370,1),(372,1),(374,1),(379,1),(398,1),(404,1),(405,1),(411,1),(412,1)}
       345:{2,3,6}:{(306,1),(307,1),(321,1),(363,1),(373,1)}
       346:{2,4,7}:{(307,1),(308,1),(312,1),(373,1)}
       347:{2,4,6,7}:{(309,1),(310,1),(367,1),(374,1)}
       348:{1,3,5,6,7}:{(310,1),(311,1),(313,1),(370,1),(374,1),(375,1),(404,1)}
       349:{2,6,7}:{(311,1),(312,1)}
       350:{1,3,5}:{(314,1),(315,1),(368,1),(376,1)}
       351:{1,2,5,6}:{(315,1),(316,1),(319,1),(369,1),(377,1),(378,1)}
       352:{1,5,7}:{(316,1),(317,1),(320,1)}
       353:{1,3,6}:{(318,1),(319,1),(371,1)}
       354:{1,2,4,6,7}:{(319,1),(320,1),(322,1),(323,1),(372,1),(378,1),(379,1),(405,1)}
       355:{1,3,7}:{(321,1),(322,1),(373,1)}
       356:{1,3,4,6}:{(324,1),(327,1),(339,1),(380,1),(383,1),(406,1)}
       357:{1,2,5}:{(324,1),(380,1)}
       358:{1,5,6}:{(325,1),(329,1),(382,1)}
       359:{2,5,7}:{(325,1),(326,1),(330,1),(382,1)}
       360:{1,3,5,7}:{(327,1),(328,1),(331,1),(342,1),(380,1),(383,1),(385,1)}
       361:{1,2,4,6}:{(328,1),(329,1),(334,1),(343,1),(381,1),(383,1),(406,1)}
       362:{1,4,6,7}:{(329,1),(330,1),(333,1),(335,1),(382,1)}
       363:{1,3,6}:{(331,1),(332,1),(345,1),(385,1)}
       364:{1,2,4,7}:{(332,1),(333,1),(336,1),(346,1),(385,1)}
       365:{1,2,6,7}:{(334,1),(335,1),(336,1),(349,1)}
       366:{1,4,5,6}:{(337,1),(340,1),(386,1),(387,1),(393,1),(406,1)}
       367:{2,4,5,7}:{(337,1),(338,1),(341,1),(347,1),(387,1),(410,1)}
       368:{2,3,5}:{(339,1),(350,1),(380,1),(388,1)}
       369:{2,5,6}:{(340,1),(343,1),(390,1)}
       370:{1,3,5,7}:{(340,1),(341,1),(344,1),(352,1),(382,1),(387,1),(390,1),(409,1)}
       371:{2,3,6}:{(342,1),(343,1),(353,1),(383,1)}
       372:{2,4,6,7}:{(343,1),(344,1),(346,1),(349,1),(390,1),(391,1),(410,1)}
       373:{2,3,7}:{(345,1),(346,1),(355,1),(385,1)}
       374:{1,4,6,7}:{(347,1),(348,1),(387,1),(392,1)}
       375:{2,5,6,7}:{(348,1),(349,1),(390,1),(392,1)}
       376:{1,4,5}:{(350,1),(388,1),(393,1)}
       377:{1,3,5,6}:{(350,1),(351,1),(353,1),(389,1),(393,1),(394,1)}
       378:{1,2,5,7}:{(351,1),(352,1),(354,1),(390,1),(394,1)}
       379:{1,3,6,7}:{(353,1),(354,1),(355,1),(391,1),(394,1)}
       380:{1,3,5}:{(356,1),(357,1),(368,1),(395,1)}
       381:{1,2,5,6}:{(357,1),(358,1),(361,1),(369,1),(396,1),(397,1)}
       382:{1,5,7}:{(358,1),(359,1),(362,1)}
       383:{1,3,6}:{(360,1),(361,1),(371,1)}
       384:{1,2,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(372,1),(397,1),(398,1),(411,1)}
       385:{1,3,7}:{(363,1),(364,1),(373,1)}
       386:{2,4,5,6}:{(366,1),(369,1),(400,1),(401,1),(402,1)}
       387:{1,4,5,7}:{(366,1),(367,1),(370,1),(374,1),(401,1),(405,1),(411,1)}
       388:{2,4,5}:{(368,1),(376,1),(395,1),(399,1),(402,1)}
       389:{2,3,5,6}:{(368,1),(369,1),(371,1),(377,1),(396,1),(400,1),(402,1),(403,1)}
       390:{2,5,7}:{(369,1),(370,1),(372,1)}
       391:{2,3,6,7}:{(371,1),(372,1),(373,1),(379,1),(398,1),(403,1),(404,1)}
       392:{2,4,6,7}:{(374,1),(375,1),(401,1),(404,1)}
       393:{1,4,6}:{(376,1),(377,1),(402,1),(405,1)}
       394:{1,3,5,7}:{(377,1),(378,1),(379,1),(403,1),(405,1)}
       395:{1,4,5}:{(380,1),(388,1),(406,1)}
       396:{1,3,5,6}:{(380,1),(381,1),(383,1),(389,1),(406,1),(407,1)}
       397:{1,2,5,7}:{(381,1),(382,1),(384,1),(390,1),(407,1)}
       398:{1,3,6,7}:{(383,1),(384,1),(385,1),(391,1),(407,1)}
       399:{3,4,5}:{(388,1),(408,1)}
       400:{3,5,6}:{(386,1),(408,1),(409,1)}
       401:{2,4,5,7}:{(386,1),(387,1),(390,1),(392,1),(409,1),(410,1)}
       402:{2,4,6}:{(388,1),(389,1),(393,1),(406,1),(408,1),(410,1)}
       403:{2,3,5,7}:{(389,1),(390,1),(391,1),(394,1),(407,1),(409,1),(410,1)}
       404:{3,6,7}:{(392,1),(409,1)}
       405:{1,4,7}:{(393,1),(394,1),(410,1)}
       406:{1,4,6}:{(395,1),(396,1),(402,1),(411,1)}
       407:{1,3,5,7}:{(396,1),(397,1),(398,1),(403,1),(411,1)}
       408:{3,4,6}:{(399,1),(400,1),(402,1),(412,1)}
       409:{3,5,7}:{(400,1),(401,1),(404,1),(412,1)}
       410:{2,4,7}:{(402,1),(403,1),(405,1),(411,1),(412,1)}
       411:{1,4,7}:{(406,1),(407,1),(410,1)}
       412:{3,4,7}:{(408,1),(409,1),(410,1)}

2153 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2154 :   0:{1,2,3,5,7}:{(2,1),(3,1),(21,1),(24,1),(280,1),(281,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(89,1),(163,1),(166,1),(168,1),(176,1),(234,1),(255,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(10,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(41,1),(319,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(52,1),(223,1),(224,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(21,1),(49,1),(60,1),(70,1),(114,1),(127,1),(139,1),(195,1),(210,1),(212,1),(220,1),(277,1),(298,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(56,1),(126,1),(206,1),(219,1),(276,1)}
         7:{1,2,3,6,7}:{(3,1),(19,1),(20,1),(68,1),(136,1),(221,1),(281,1),(351,1),(352,1),(391,1)}
         8:{1,3,4,7}:{(2,1),(14,1),(21,1),(22,1),(139,1),(356,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(21,1),(23,1),(24,1),(70,1),(71,1),(139,1),(277,1),(280,1),(284,1),(354,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(22,1),(24,1)}
        11:{1,2,3,5,6}:{(3,1),(20,1),(24,1),(25,1),(65,1),(69,1),(73,1),(136,1),(143,1),(286,1),(287,1),(352,1),(355,1),(390,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(27,1),(29,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(29,1),(78,1),(266,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(166,1),(338,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(89,1),(90,1),(166,1),(257,1),(336,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(41,1),(78,1),(102,1),(153,1),(167,1),(263,1),(316,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(86,1),(87,1),(166,1),(250,1),(253,1),(255,1),(262,1),(315,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(249,1),(261,1),(314,1)}
        19:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(98,1),(238,1),(262,1),(319,1),(377,1)}
        20:{1,2,3,5,7}:{(7,1),(11,1),(39,1),(40,1),(99,1),(101,1),(184,1),(324,1),(378,1),(402,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(31,1),(41,1),(42,1),(323,1),(378,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(32,1),(41,1),(42,1),(102,1)}
        23:{1,2,4,6}:{(9,1),(33,1),(41,1),(44,1),(102,1),(316,1),(319,1)}
        24:{1,2,5}:{(10,1),(42,1)}
        25:{1,2,4,6}:{(11,1),(40,1),(45,1),(46,1),(102,1),(182,1),(325,1),(403,1)}
        26:{1,2,3,6,7}:{(13,1),(47,1),(48,1),(112,1),(192,1),(224,1),(278,1),(307,1),(308,1),(369,1)}
        27:{1,3,4,7}:{(12,1),(14,1),(49,1),(50,1),(195,1),(312,1)}
        28:{1,2,4,5,7}:{(12,1),(15,1),(49,1),(51,1),(52,1),(114,1),(115,1),(195,1),(220,1),(223,1),(227,1),(310,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(50,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(48,1),(52,1),(53,1),(109,1),(113,1),(117,1),(192,1),(199,1),(229,1),(230,1),(308,1),(311,1),(368,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(21,1),(49,1),(56,1),(57,1),(300,1),(366,1)}
        32:{2,3,4,6}:{(14,1),(22,1),(50,1),(56,1),(57,1),(126,1)}
        33:{2,4,6}:{(15,1),(16,1),(56,1),(59,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(58,1),(60,1),(68,1),(112,1),(123,1),(139,1),(195,1),(208,1),(210,1),(297,1),(298,1),(304,1),(348,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(59,1),(60,1),(61,1),(129,1),(303,1),(347,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(60,1),(62,1),(292,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(61,1),(62,1),(63,1),(126,1)}
        38:{1,3,4,6,7}:{(19,1),(22,1),(54,1),(64,1),(67,1),(68,1),(133,1),(136,1),(139,1),(194,1),(279,1),(348,1),(391,1),(392,1),(409,1)}
        39:{1,2,5,7}:{(19,1),(24,1),(64,1),(65,1),(302,1),(393,1)}
        40:{1,2,4,7}:{(20,1),(25,1),(67,1),(139,1),(225,1),(409,1)}
        41:{1,3,6}:{(21,1),(23,1),(56,1)}
        42:{1,3,5}:{(22,1),(24,1),(57,1),(70,1)}
        43:{1,2,4,6,7}:{(23,1),(58,1),(68,1),(71,1),(139,1),(348,1),(351,1),(354,1)}
        44:{1,2,5,6}:{(23,1),(24,1),(59,1),(69,1),(71,1),(347,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(70,1),(73,1),(141,1),(393,1),(410,1)}
        46:{1,3,4,6}:{(25,1),(67,1),(73,1),(74,1),(136,1),(355,1),(356,1)}
        47:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(149,1),(180,1),(266,1),(315,1),(344,1)}
        48:{1,2,3,5,7}:{(26,1),(30,1),(76,1),(77,1),(150,1),(152,1),(242,1),(271,1),(345,1),(386,1)}
        49:{1,3,5,7}:{(27,1),(28,1),(31,1),(78,1),(79,1),(270,1),(345,1)}
        50:{1,3,4,6}:{(27,1),(29,1),(32,1),(78,1),(79,1),(153,1)}
        51:{1,2,4,6}:{(28,1),(33,1),(78,1),(81,1),(153,1),(263,1),(266,1)}
        52:{1,2,5}:{(29,1),(79,1)}
        53:{1,2,4,6}:{(30,1),(77,1),(82,1),(83,1),(153,1),(240,1),(272,1),(387,1)}
        54:{2,3,4,6,7}:{(32,1),(38,1),(75,1),(84,1),(87,1),(100,1),(151,1),(162,1),(166,1),(178,1),(236,1),(250,1),(262,1),(315,1),(384,1),(385,1),(407,1)}
        55:{2,3,5,6,7}:{(36,1),(85,1),(86,1),(160,1),(247,1),(253,1)}
        56:{2,3,6}:{(31,1),(33,1),(41,1),(78,1)}
        57:{2,3,5}:{(32,1),(42,1),(79,1),(89,1)}
        58:{2,4,6,7}:{(33,1),(34,1),(87,1),(90,1),(166,1),(335,1),(336,1)}
        59:{2,5,6}:{(33,1),(35,1),(90,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(36,1),(90,1),(92,1),(169,1),(339,1),(372,1)}
        61:{1,4,5,6}:{(35,1),(37,1),(91,1),(92,1),(102,1),(153,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(86,1),(92,1),(94,1),(166,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(167,1),(249,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(42,1),(84,1),(95,1),(96,1),(372,1),(404,1)}
        65:{1,2,5,6}:{(39,1),(95,1),(98,1),(261,1),(319,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(96,1),(98,1),(99,1),(176,1)}
        67:{1,3,4,7}:{(40,1),(46,1),(99,1),(100,1),(378,1)}
        68:{1,3,6,7}:{(41,1),(43,1),(87,1),(101,1),(378,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(44,1),(88,1),(101,1),(102,1)}
        70:{1,4,5}:{(42,1),(89,1),(102,1)}
        71:{1,2,5,7}:{(43,1),(44,1),(90,1),(101,1),(372,1)}
        72:{1,2,4,5,6}:{(44,1),(45,1),(91,1),(98,1),(102,1),(104,1),(105,1),(172,1),(173,1),(182,1),(259,1),(261,1),(322,1),(373,1),(380,1),(403,1)}
        73:{1,3,5}:{(45,1),(46,1),(106,1)}
        74:{2,3,4,6}:{(46,1),(100,1),(106,1),(107,1),(178,1),(182,1),(337,1),(338,1)}
        75:{1,3,4,6,7}:{(47,1),(50,1),(54,1),(108,1),(111,1),(112,1),(138,1),(189,1),(192,1),(195,1),(222,1),(304,1),(369,1),(370,1),(400,1)}
        76:{1,2,5,7}:{(47,1),(52,1),(108,1),(109,1),(346,1),(371,1)}
        77:{1,2,4,7}:{(48,1),(53,1),(111,1),(195,1),(282,1),(400,1)}
        78:{1,3,6}:{(49,1),(51,1),(56,1)}
        79:{1,3,5}:{(50,1),(52,1),(57,1),(114,1)}
        80:{1,2,4,6,7}:{(51,1),(58,1),(112,1),(115,1),(195,1),(304,1),(307,1),(310,1)}
        81:{1,2,5,6}:{(51,1),(52,1),(59,1),(113,1),(115,1),(303,1)}
        82:{1,2,4,5}:{(52,1),(53,1),(114,1),(117,1),(197,1),(371,1),(401,1)}
        83:{1,3,4,6}:{(53,1),(111,1),(117,1),(118,1),(192,1),(311,1),(312,1)}
        84:{2,3,5,7}:{(54,1),(57,1),(64,1),(108,1),(120,1),(121,1),(292,1),(302,1),(346,1),(399,1)}
        85:{1,3,5,6,7}:{(55,1),(60,1),(122,1),(123,1),(208,1),(291,1),(297,1)}
        86:{2,4,6,7}:{(55,1),(62,1),(123,1),(124,1)}
        87:{2,3,6,7}:{(56,1),(58,1),(68,1),(112,1),(125,1),(208,1),(366,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(59,1),(69,1),(113,1),(125,1),(126,1),(129,1)}
        89:{2,4,5}:{(57,1),(70,1),(114,1),(126,1),(127,1)}
        90:{2,5,7}:{(58,1),(59,1),(60,1)}
        91:{2,4,5,6}:{(59,1),(61,1),(126,1),(128,1),(129,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(62,1),(123,1),(128,1),(139,1),(195,1)}
        93:{1,3,4,5,6}:{(61,1),(63,1),(129,1),(130,1),(131,1),(140,1),(196,1),(214,1),(217,1),(274,1),(288,1),(358,1),(395,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(124,1),(210,1),(292,1)}
        95:{1,3,5,6}:{(64,1),(65,1),(120,1),(133,1),(136,1),(279,1),(347,1)}
        96:{1,4,5,7}:{(64,1),(70,1),(121,1),(133,1),(139,1),(409,1),(410,1)}
        97:{1,2,5,6,7}:{(65,1),(71,1),(122,1),(132,1),(135,1),(291,1),(302,1),(351,1),(360,1),(389,1)}
        98:{1,2,4,6}:{(65,1),(66,1),(133,1),(136,1),(219,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(73,1),(136,1),(137,1)}
       100:{2,3,4,7}:{(67,1),(74,1),(137,1),(138,1),(225,1),(366,1)}
       101:{1,3,5,7}:{(68,1),(69,1),(71,1),(125,1),(139,1)}
       102:{1,4,6}:{(69,1),(70,1),(126,1),(139,1)}
       103:{1,3,4,5}:{(70,1),(73,1),(127,1),(140,1),(141,1),(410,1),(412,1)}
       104:{1,2,4,5,7}:{(71,1),(72,1),(128,1),(135,1),(139,1),(142,1),(215,1),(216,1),(225,1),(301,1),(302,1),(354,1),(389,1),(394,1),(409,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(129,1),(136,1),(140,1),(142,1),(143,1),(355,1),(395,1)}
       106:{2,3,5}:{(73,1),(74,1),(141,1),(144,1)}
       107:{1,3,4,6}:{(74,1),(138,1),(144,1),(145,1),(222,1),(226,1),(311,1),(312,1)}
       108:{1,3,5,7}:{(75,1),(76,1),(79,1),(84,1),(146,1),(147,1),(339,1),(388,1)}
       109:{1,2,5,6}:{(76,1),(146,1),(149,1),(266,1),(314,1)}
       110:{1,2,4,5,7}:{(76,1),(77,1),(82,1),(147,1),(149,1),(150,1),(234,1)}
       111:{1,3,4,7}:{(77,1),(83,1),(150,1),(151,1),(345,1)}
       112:{1,3,6,7}:{(78,1),(80,1),(87,1),(152,1),(345,1)}
       113:{1,3,5,6}:{(78,1),(79,1),(81,1),(88,1),(152,1),(153,1)}
       114:{1,4,5}:{(79,1),(89,1),(153,1)}
       115:{1,2,5,7}:{(80,1),(81,1),(90,1),(152,1),(339,1)}
       116:{1,2,4,5,6}:{(81,1),(82,1),(91,1),(149,1),(153,1),(155,1),(156,1),(172,1),(231,1),(240,1),(259,1),(269,1),(314,1),(340,1),(380,1),(387,1)}
       117:{1,3,5}:{(82,1),(83,1),(157,1)}
       118:{2,3,4,6}:{(83,1),(151,1),(157,1),(158,1),(236,1),(240,1),(337,1),(338,1)}
       119:{2,4,5,6,7}:{(86,1),(159,1),(160,1),(247,1),(248,1),(381,1)}
       120:{2,3,5,6}:{(84,1),(95,1),(146,1),(162,1),(178,1),(236,1),(249,1),(261,1),(314,1)}
       121:{2,4,5,7}:{(84,1),(89,1),(96,1),(147,1),(162,1),(163,1),(166,1),(407,1),(408,1)}
       122:{2,5,6,7}:{(85,1),(90,1),(164,1),(335,1)}
       123:{1,4,6,7}:{(85,1),(86,1),(92,1),(164,1)}
       124:{3,4,6,7}:{(86,1),(94,1),(160,1)}
       125:{2,3,5,7}:{(87,1),(88,1),(90,1),(101,1),(152,1),(166,1),(169,1)}
       126:{2,4,6}:{(88,1),(89,1),(102,1),(153,1),(166,1),(167,1)}
       127:{3,4,5}:{(89,1),(167,1)}
       128:{2,4,5,7}:{(90,1),(91,1),(92,1),(164,1),(166,1),(169,1)}
       129:{3,5,6}:{(91,1),(167,1),(169,1)}
       130:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(165,1),(169,1),(171,1),(181,1),(239,1),(258,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       131:{2,4,5,6}:{(93,1),(170,1),(171,1),(172,1),(182,1),(240,1),(259,1),(261,1),(314,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(101,1),(161,1),(174,1),(177,1),(260,1),(318,1),(372,1),(402,1)}
       133:{1,4,6}:{(95,1),(96,1),(162,1)}
       134:{1,3,4,5,7}:{(96,1),(99,1),(103,1),(163,1),(175,1),(176,1),(181,1),(260,1)}
       135:{1,2,4,6,7}:{(97,1),(98,1),(104,1),(164,1),(174,1),(177,1),(254,1),(262,1),(335,1),(381,1)}
       136:{1,3,6}:{(98,1),(99,1),(178,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(176,1),(178,1),(179,1)}
       138:{1,3,4,7}:{(100,1),(107,1),(179,1),(180,1),(268,1),(345,1)}
       139:{1,4,7}:{(101,1),(102,1),(166,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(105,1),(167,1),(181,1),(182,1),(403,1),(406,1)}
       141:{2,4,5}:{(103,1),(106,1),(182,1),(183,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(169,1),(177,1),(181,1),(184,1),(378,1),(405,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(178,1),(182,1),(184,1),(185,1),(259,1),(261,1),(337,1)}
       144:{1,3,5}:{(106,1),(107,1),(183,1),(186,1)}
       145:{1,2,4,6}:{(107,1),(180,1),(186,1),(187,1),(266,1),(272,1)}
       146:{1,3,5,6}:{(108,1),(109,1),(120,1),(189,1),(192,1),(222,1),(303,1)}
       147:{1,4,5,7}:{(108,1),(114,1),(121,1),(189,1),(195,1),(400,1),(401,1)}
       148:{1,2,5,6,7}:{(109,1),(115,1),(122,1),(188,1),(191,1),(291,1),(307,1),(346,1),(360,1),(367,1)}
       149:{1,2,4,6}:{(109,1),(110,1),(189,1),(192,1),(276,1)}
       150:{1,3,5,7}:{(110,1),(111,1),(117,1),(192,1),(193,1)}
       151:{2,3,4,7}:{(111,1),(118,1),(193,1),(194,1),(282,1),(366,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(115,1),(125,1),(195,1)}
       153:{1,4,6}:{(113,1),(114,1),(126,1),(195,1)}
       154:{1,3,4,5}:{(114,1),(117,1),(127,1),(196,1),(197,1),(401,1),(412,1)}
       155:{1,2,4,5,7}:{(115,1),(116,1),(128,1),(191,1),(195,1),(198,1),(215,1),(273,1),(282,1),(301,1),(310,1),(346,1),(367,1),(394,1),(400,1)}
       156:{1,3,5,6}:{(116,1),(117,1),(129,1),(192,1),(196,1),(198,1),(199,1),(311,1),(395,1)}
       157:{2,3,5}:{(117,1),(118,1),(197,1),(200,1)}
       158:{1,3,4,6}:{(118,1),(194,1),(200,1),(201,1),(279,1),(283,1),(355,1),(356,1)}
       159:{1,4,5,6,7}:{(119,1),(123,1),(202,1),(203,1),(216,1),(273,1),(291,1),(359,1)}
       160:{3,5,6,7}:{(119,1),(124,1),(292,1),(396,1)}
       161:{2,3,5,6,7}:{(120,1),(122,1),(125,1),(132,1),(188,1),(205,1),(208,1),(221,1),(278,1),(292,1),(302,1),(346,1),(360,1),(396,1),(397,1)}
       162:{2,4,6}:{(120,1),(121,1),(133,1),(189,1),(206,1)}
       163:{3,4,5,7}:{(121,1),(127,1),(206,1),(210,1),(292,1),(411,1),(412,1)}
       164:{2,4,6,7}:{(122,1),(123,1),(128,1),(208,1)}
       165:{1,3,4,6,7}:{(123,1),(124,1),(130,1),(203,1),(208,1),(209,1),(289,1),(297,1),(359,1),(396,1)}
       166:{2,4,7}:{(125,1),(126,1),(139,1),(195,1),(210,1)}
       167:{3,4,6}:{(126,1),(127,1),(129,1),(210,1)}
       168:{2,3,4,5}:{(127,1),(141,1),(197,1),(211,1),(212,1),(300,1),(412,1)}
       169:{3,5,7}:{(128,1),(129,1),(208,1),(210,1)}
       170:{2,3,5,6}:{(129,1),(131,1),(211,1),(213,1),(214,1),(395,1)}
       171:{2,4,5,7}:{(130,1),(131,1),(209,1),(213,1),(215,1),(225,1),(282,1),(301,1),(302,1),(346,1)}
       172:{1,4,5,6}:{(131,1),(214,1),(215,1),(226,1),(283,1),(303,1),(347,1)}
       173:{1,4,5,6}:{(133,1),(204,1),(216,1),(217,1),(347,1)}
       174:{1,4,6,7}:{(132,1),(133,1),(139,1),(205,1),(216,1),(409,1)}
       175:{1,3,4,6}:{(133,1),(134,1),(136,1),(206,1),(217,1),(219,1)}
       176:{2,4,5,7}:{(134,1),(137,1),(141,1),(219,1),(220,1),(225,1),(302,1)}
       177:{1,3,6,7}:{(135,1),(136,1),(142,1),(208,1),(221,1),(396,1)}
       178:{2,3,6}:{(136,1),(137,1),(219,1),(222,1)}
       179:{1,3,5,7}:{(137,1),(138,1),(144,1),(220,1),(222,1),(223,1)}
       180:{1,2,4,7}:{(138,1),(145,1),(223,1),(224,1)}
       181:{1,3,4,7}:{(139,1),(140,1),(142,1),(210,1),(225,1),(409,1),(411,1)}
       182:{2,4,6}:{(140,1),(141,1),(143,1),(225,1),(226,1)}
       183:{1,4,5}:{(141,1),(144,1),(226,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(221,1),(225,1),(228,1),(301,1),(302,1),(366,1)}
       185:{1,3,5,6}:{(143,1),(144,1),(222,1),(226,1),(228,1),(229,1),(303,1),(311,1)}
       186:{1,2,5}:{(144,1),(145,1)}
       187:{1,2,3,6}:{(145,1),(224,1),(230,1),(311,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(152,1),(161,1),(232,1),(235,1),(265,1),(313,1),(339,1),(386,1)}
       189:{1,4,6}:{(146,1),(147,1),(162,1)}
       190:{1,3,4,5,7}:{(147,1),(150,1),(154,1),(163,1),(233,1),(234,1),(239,1),(313,1)}
       191:{1,2,4,6,7}:{(148,1),(149,1),(155,1),(164,1),(232,1),(235,1),(254,1),(315,1),(335,1),(381,1)}
       192:{1,3,6}:{(149,1),(150,1),(236,1)}
       193:{2,3,5,7}:{(150,1),(151,1),(157,1),(234,1),(236,1),(237,1)}
       194:{1,3,4,7}:{(151,1),(158,1),(237,1),(238,1),(321,1),(378,1)}
       195:{1,4,7}:{(152,1),(153,1),(166,1)}
       196:{1,3,4,6}:{(153,1),(154,1),(156,1),(167,1),(239,1),(240,1),(387,1),(406,1)}
       197:{2,4,5}:{(154,1),(157,1),(240,1),(241,1)}
       198:{1,3,5,7}:{(155,1),(156,1),(169,1),(235,1),(239,1),(242,1),(345,1),(405,1)}
       199:{2,3,5,6}:{(156,1),(157,1),(236,1),(240,1),(242,1),(243,1),(259,1),(314,1),(337,1)}
       200:{1,3,5}:{(157,1),(158,1),(241,1),(244,1)}
       201:{1,2,4,6}:{(158,1),(238,1),(244,1),(245,1),(319,1),(325,1)}
       202:{2,4,5,6,7}:{(159,1),(164,1),(246,1),(247,1),(248,1),(328,1)}
       203:{1,3,5,6,7}:{(159,1),(160,1),(165,1),(246,1),(247,1),(260,1),(313,1)}
       204:{2,4,5,6}:{(162,1),(173,1),(231,1),(248,1),(249,1),(261,1),(314,1)}
       205:{2,4,6,7}:{(161,1),(162,1),(166,1),(174,1),(232,1),(248,1),(250,1),(407,1)}
       206:{3,4,6}:{(162,1),(163,1),(249,1)}
       207:{2,3,4,5,7}:{(163,1),(168,1),(176,1),(234,1),(251,1),(252,1),(255,1),(330,1),(334,1),(407,1),(408,1)}
       208:{3,6,7}:{(164,1),(169,1)}
       209:{2,4,6,7}:{(165,1),(171,1),(247,1),(253,1),(254,1),(335,1)}
       210:{3,4,7}:{(166,1),(167,1),(169,1)}
       211:{2,3,4,6}:{(167,1),(168,1),(170,1),(182,1),(240,1),(255,1),(256,1),(337,1),(406,1)}
       212:{1,3,4,5}:{(168,1),(183,1),(241,1),(256,1),(257,1),(270,1),(323,1)}
       213:{2,3,5,7}:{(169,1),(170,1),(171,1),(253,1),(255,1),(258,1),(405,1)}
       214:{1,3,5,6}:{(170,1),(172,1),(256,1),(258,1),(259,1)}
       215:{1,4,5,7}:{(171,1),(172,1),(254,1),(258,1),(268,1),(321,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(174,1),(248,1),(260,1),(372,1)}
       217:{1,3,5,6}:{(173,1),(175,1),(249,1),(260,1),(261,1)}
       218:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(181,1),(250,1),(260,1),(262,1)}
       219:{2,4,6}:{(175,1),(176,1),(178,1),(261,1),(263,1)}
       220:{1,4,5,7}:{(176,1),(179,1),(183,1),(263,1),(268,1),(339,1)}
       221:{2,3,6,7}:{(177,1),(178,1),(184,1),(262,1),(265,1),(335,1)}
       222:{1,3,6}:{(178,1),(179,1),(263,1),(266,1)}
       223:{1,2,5,7}:{(179,1),(180,1),(186,1),(266,1)}
       224:{1,2,3,7}:{(180,1),(187,1),(345,1)}
       225:{2,4,7}:{(181,1),(182,1),(184,1),(268,1)}
       226:{1,4,6}:{(182,1),(183,1),(185,1),(268,1)}
       227:{1,2,4,5}:{(183,1),(186,1),(257,1),(269,1),(270,1),(272,1)}
       228:{1,3,5,7}:{(184,1),(185,1),(265,1),(268,1),(271,1),(339,1),(345,1)}
       229:{1,2,5,6}:{(185,1),(186,1),(259,1),(266,1),(269,1),(271,1)}
       230:{1,2,3,5}:{(186,1),(187,1),(270,1),(272,1)}
       231:{1,4,5,6}:{(189,1),(204,1),(273,1),(274,1),(303,1)}
       232:{1,4,6,7}:{(188,1),(189,1),(195,1),(205,1),(273,1),(400,1)}
       233:{1,3,4,6}:{(189,1),(190,1),(192,1),(206,1),(274,1),(276,1)}
       234:{2,4,5,7}:{(190,1),(193,1),(197,1),(276,1),(277,1),(282,1),(346,1)}
       235:{1,3,6,7}:{(191,1),(192,1),(198,1),(208,1),(278,1),(396,1)}
       236:{2,3,6}:{(192,1),(193,1),(276,1),(279,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(200,1),(277,1),(279,1),(280,1)}
       238:{1,2,4,7}:{(194,1),(201,1),(280,1),(281,1)}
       239:{1,3,4,7}:{(195,1),(196,1),(198,1),(210,1),(282,1),(400,1),(411,1)}
       240:{2,4,6}:{(196,1),(197,1),(199,1),(282,1),(283,1)}
       241:{1,4,5}:{(197,1),(200,1),(283,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(278,1),(282,1),(285,1),(301,1),(346,1),(366,1)}
       243:{1,3,5,6}:{(199,1),(200,1),(279,1),(283,1),(285,1),(286,1),(347,1),(355,1)}
       244:{1,2,5}:{(200,1),(201,1)}
       245:{1,2,3,6}:{(201,1),(281,1),(287,1),(355,1)}
       246:{3,5,6,7}:{(202,1),(208,1),(289,1),(292,1)}
       247:{2,5,6,7}:{(203,1),(209,1),(291,1),(302,1),(346,1)}
       248:{2,4,5,7}:{(204,1),(205,1),(216,1),(273,1),(292,1),(302,1),(346,1)}
       249:{3,5,6}:{(204,1),(206,1),(292,1)}
       250:{3,4,6,7}:{(205,1),(206,1),(208,1),(210,1),(292,1),(396,1),(411,1)}
       251:{2,3,4,6}:{(206,1),(207,1),(219,1),(276,1),(293,1),(295,1),(364,1),(398,1)}
       252:{1,3,4,5,7}:{(207,1),(212,1),(220,1),(277,1),(295,1),(296,1),(298,1),(306,1),(350,1),(361,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       253:{2,3,6,7}:{(208,1),(209,1),(213,1),(297,1),(396,1)}
       254:{1,4,6,7}:{(209,1),(215,1),(291,1),(297,1)}
       255:{2,3,4,7}:{(210,1),(211,1),(213,1),(225,1),(282,1),(298,1),(366,1),(411,1)}
       256:{1,3,4,6}:{(211,1),(212,1),(214,1),(226,1),(283,1),(298,1),(299,1),(311,1),(355,1)}
       257:{2,4,5}:{(212,1),(299,1),(300,1)}
       258:{1,3,5,7}:{(213,1),(214,1),(215,1),(297,1),(298,1),(301,1)}
       259:{2,5,6}:{(214,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(218,1),(292,1),(302,1)}
       261:{2,5,6}:{(217,1),(219,1),(302,1),(303,1)}
       262:{2,4,6,7}:{(218,1),(219,1),(221,1),(225,1),(302,1),(304,1)}
       263:{1,4,6}:{(219,1),(220,1),(222,1),(303,1)}
       264:{1,2,4,5,7}:{(220,1),(223,1),(227,1),(296,1),(305,1),(306,1),(309,1),(310,1),(367,1),(371,1),(400,1),(401,1)}
       265:{1,3,6,7}:{(221,1),(222,1),(228,1),(304,1),(307,1)}
       266:{1,2,6}:{(222,1),(223,1)}
       267:{1,2,3,5,7}:{(223,1),(224,1),(230,1),(306,1),(308,1),(309,1),(371,1)}
       268:{1,4,7}:{(225,1),(226,1),(228,1)}
       269:{1,2,4,6}:{(226,1),(227,1),(229,1),(299,1),(310,1),(311,1)}
       270:{1,3,5}:{(227,1),(300,1),(311,1),(312,1)}
       271:{1,2,5,7}:{(228,1),(229,1),(301,1),(307,1),(310,1)}
       272:{1,2,4}:{(230,1),(312,1)}
       273:{1,4,5,7}:{(231,1),(232,1),(248,1),(313,1),(339,1)}
       274:{1,3,5,6}:{(231,1),(233,1),(249,1),(313,1),(314,1)}
       275:{1,3,4,6,7}:{(232,1),(233,1),(235,1),(239,1),(250,1),(313,1),(315,1)}
       276:{2,4,6}:{(233,1),(234,1),(236,1),(314,1),(316,1)}
       277:{1,4,5,7}:{(234,1),(237,1),(241,1),(316,1),(321,1),(372,1)}
       278:{2,3,6,7}:{(235,1),(236,1),(242,1),(315,1),(318,1),(335,1)}
       279:{1,3,6}:{(236,1),(237,1),(316,1),(319,1)}
       280:{1,2,5,7}:{(237,1),(238,1),(244,1),(319,1)}
       281:{1,2,3,7}:{(238,1),(245,1),(378,1)}
       282:{2,4,7}:{(239,1),(240,1),(242,1),(321,1)}
       283:{1,4,6}:{(240,1),(241,1),(243,1),(321,1)}
       284:{1,2,4,5}:{(241,1),(244,1),(257,1),(322,1),(323,1),(325,1)}
       285:{1,3,5,7}:{(242,1),(243,1),(318,1),(321,1),(324,1),(372,1),(378,1)}
       286:{1,2,5,6}:{(243,1),(244,1),(259,1),(319,1),(322,1),(324,1)}
       287:{1,2,3,5}:{(244,1),(245,1),(323,1),(325,1)}
       288:{3,4,5,6}:{(249,1),(326,1),(327,1),(406,1)}
       289:{3,4,6,7}:{(246,1),(326,1),(328,1)}
       290:{2,3,5,6,7}:{(246,1),(247,1),(253,1),(328,1),(329,1),(330,1)}
       291:{1,5,6,7}:{(247,1),(254,1),(339,1),(372,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(261,1),(314,1),(327,1),(330,1),(331,1)}
       294:{2,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(262,1),(315,1),(328,1),(330,1),(332,1),(384,1),(407,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(263,1),(316,1),(331,1),(333,1),(342,1),(375,1),(387,1),(403,1),(406,1)}
       296:{2,4,5,7}:{(252,1),(257,1),(333,1),(334,1),(336,1),(382,1),(407,1),(408,1)}
       297:{1,3,6,7}:{(253,1),(254,1),(258,1),(335,1)}
       298:{1,3,4,7}:{(255,1),(256,1),(258,1),(268,1),(321,1),(336,1),(345,1),(378,1)}
       299:{2,4,6}:{(256,1),(257,1),(259,1),(336,1),(337,1)}
       300:{2,3,5}:{(257,1),(270,1),(323,1),(337,1),(338,1)}
       301:{2,5,7}:{(258,1),(259,1),(335,1),(336,1)}
       302:{2,5,7}:{(260,1),(261,1),(262,1),(339,1)}
       303:{1,5,6}:{(261,1),(263,1),(339,1)}
       304:{1,4,6,7}:{(262,1),(263,1),(265,1),(268,1),(339,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(266,1),(333,1),(340,1),(342,1),(387,1)}
       306:{1,3,5,7}:{(264,1),(270,1),(334,1),(342,1),(343,1),(345,1),(388,1)}
       307:{1,2,6,7}:{(265,1),(266,1),(271,1),(335,1)}
       308:{1,2,3,6}:{(266,1),(267,1),(342,1),(344,1)}
       309:{1,2,4,7}:{(267,1),(272,1),(343,1),(344,1)}
       310:{1,2,4,7}:{(268,1),(269,1),(271,1),(336,1),(345,1)}
       311:{1,3,6}:{(269,1),(270,1),(337,1),(345,1)}
       312:{1,3,4}:{(270,1),(272,1),(338,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(275,1),(292,1),(346,1)}
       314:{2,5,6}:{(274,1),(276,1),(346,1),(347,1)}
       315:{2,4,6,7}:{(275,1),(276,1),(278,1),(282,1),(346,1),(348,1)}
       316:{1,4,6}:{(276,1),(277,1),(279,1),(347,1)}
       317:{1,2,4,5,7}:{(277,1),(280,1),(284,1),(296,1),(349,1),(350,1),(353,1),(354,1),(389,1),(393,1),(409,1),(410,1)}
       318:{1,3,6,7}:{(278,1),(279,1),(285,1),(348,1),(351,1)}
       319:{1,2,6}:{(279,1),(280,1)}
       320:{1,2,3,5,7}:{(280,1),(281,1),(287,1),(350,1),(352,1),(353,1),(393,1)}
       321:{1,4,7}:{(282,1),(283,1),(285,1)}
       322:{1,2,4,6}:{(283,1),(284,1),(286,1),(299,1),(354,1),(355,1)}
       323:{1,3,5}:{(284,1),(300,1),(355,1),(356,1)}
       324:{1,2,5,7}:{(285,1),(286,1),(301,1),(351,1),(354,1)}
       325:{1,2,4}:{(287,1),(356,1)}
       326:{3,4,5,7}:{(288,1),(289,1),(292,1),(357,1),(411,1)}
       327:{2,4,5,6}:{(288,1),(293,1),(357,1),(358,1),(398,1)}
       328:{2,4,6,7}:{(289,1),(290,1),(357,1),(359,1)}
       329:{1,3,5,6,7}:{(290,1),(291,1),(297,1),(359,1),(360,1),(361,1),(396,1)}
       330:{2,3,5,7}:{(292,1),(293,1),(294,1),(302,1),(346,1),(357,1),(361,1)}
       331:{1,3,5,6}:{(293,1),(295,1),(303,1),(347,1),(358,1),(361,1),(362,1),(395,1)}
       332:{1,3,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(304,1),(348,1),(359,1),(361,1),(363,1),(369,1),(391,1),(396,1),(400,1),(409,1),(411,1)}
       333:{2,4,6}:{(295,1),(296,1),(362,1),(364,1)}
       334:{2,3,5,7}:{(296,1),(300,1),(306,1),(350,1),(364,1),(365,1),(366,1),(399,1)}
       335:{2,6,7}:{(297,1),(301,1)}
       336:{2,4,7}:{(298,1),(299,1),(301,1),(366,1)}
       337:{2,3,6}:{(299,1),(300,1),(311,1),(355,1),(366,1)}
       338:{2,3,4}:{(300,1),(312,1),(356,1)}
       339:{1,5,7}:{(302,1),(303,1),(304,1)}
       340:{1,2,5,6}:{(303,1),(305,1),(362,1),(367,1),(368,1),(371,1)}
       341:{1,2,4,6,7}:{(304,1),(305,1),(307,1),(310,1),(363,1),(367,1),(369,1),(400,1)}
       342:{1,3,6}:{(305,1),(306,1),(364,1)}
       343:{1,3,4,7}:{(306,1),(309,1),(312,1),(365,1),(370,1),(400,1)}
       344:{1,2,4,6}:{(308,1),(309,1),(370,1),(371,1)}
       345:{1,3,7}:{(310,1),(311,1),(366,1)}
       346:{2,5,7}:{(313,1),(314,1),(315,1),(372,1)}
       347:{1,5,6}:{(314,1),(316,1),(372,1)}
       348:{1,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(372,1)}
       349:{1,2,4,6}:{(316,1),(317,1),(319,1),(333,1),(373,1),(375,1),(403,1)}
       350:{1,3,5,7}:{(317,1),(323,1),(334,1),(375,1),(376,1),(378,1),(404,1)}
       351:{1,2,6,7}:{(318,1),(319,1),(324,1),(335,1)}
       352:{1,2,3,6}:{(319,1),(320,1),(375,1),(377,1)}
       353:{1,2,4,7}:{(320,1),(325,1),(376,1),(377,1)}
       354:{1,2,4,7}:{(321,1),(322,1),(324,1),(336,1),(378,1)}
       355:{1,3,6}:{(322,1),(323,1),(337,1),(378,1)}
       356:{1,3,4}:{(323,1),(325,1),(338,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(330,1),(379,1),(407,1)}
       358:{1,4,5,6}:{(327,1),(331,1),(379,1),(380,1),(387,1),(403,1)}
       359:{1,4,6,7}:{(328,1),(329,1),(379,1),(381,1)}
       360:{2,5,6,7}:{(329,1),(335,1),(381,1),(382,1)}
       361:{1,3,5,7}:{(330,1),(331,1),(332,1),(339,1),(372,1),(379,1),(382,1),(405,1)}
       362:{2,5,6}:{(331,1),(333,1),(382,1)}
       363:{2,4,6,7}:{(332,1),(333,1),(335,1),(336,1),(382,1),(384,1),(407,1)}
       364:{2,3,6}:{(333,1),(334,1),(342,1),(375,1)}
       365:{2,3,4,7}:{(334,1),(338,1),(343,1),(376,1),(385,1),(407,1)}
       366:{2,3,7}:{(336,1),(337,1),(345,1),(378,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(341,1),(382,1),(386,1)}
       368:{1,3,5,6}:{(340,1),(342,1),(383,1),(386,1),(387,1),(388,1)}
       369:{1,3,6,7}:{(341,1),(342,1),(345,1),(384,1),(386,1)}
       370:{1,3,4,6}:{(342,1),(343,1),(344,1),(385,1),(387,1),(388,1)}
       371:{1,2,5}:{(344,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(348,1)}
       373:{1,2,5,6}:{(347,1),(349,1),(362,1),(389,1),(390,1),(393,1)}
       374:{1,2,4,6,7}:{(348,1),(349,1),(351,1),(354,1),(363,1),(389,1),(391,1),(409,1)}
       375:{1,3,6}:{(349,1),(350,1),(364,1)}
       376:{1,3,4,7}:{(350,1),(353,1),(356,1),(365,1),(392,1),(409,1)}
       377:{1,2,4,6}:{(352,1),(353,1),(392,1),(393,1)}
       378:{1,3,7}:{(354,1),(355,1),(366,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(359,1),(361,1),(394,1),(400,1),(409,1)}
       380:{2,4,5,6}:{(358,1),(362,1),(394,1),(395,1),(398,1)}
       381:{2,4,6,7}:{(359,1),(360,1),(394,1),(396,1)}
       382:{2,5,7}:{(361,1),(362,1),(363,1)}
       383:{2,3,5,6}:{(362,1),(364,1),(368,1),(390,1),(395,1),(397,1),(398,1),(399,1)}
       384:{2,3,6,7}:{(363,1),(364,1),(366,1),(369,1),(391,1),(396,1),(397,1)}
       385:{2,3,4,6}:{(364,1),(365,1),(370,1),(392,1),(398,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(397,1),(400,1)}
       387:{1,4,6}:{(368,1),(398,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(399,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(374,1),(382,1),(402,1)}
       390:{1,3,5,6}:{(373,1),(375,1),(383,1),(402,1),(403,1),(404,1)}
       391:{1,3,6,7}:{(374,1),(375,1),(378,1),(384,1),(402,1)}
       392:{1,3,4,6}:{(375,1),(376,1),(377,1),(385,1),(403,1),(404,1)}
       393:{1,2,5}:{(377,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(381,1),(382,1),(405,1),(407,1)}
       395:{3,5,6}:{(380,1),(405,1),(406,1)}
       396:{3,6,7}:{(381,1),(405,1)}
       397:{2,3,5,7}:{(382,1),(383,1),(384,1),(386,1),(402,1),(405,1),(407,1)}
       398:{2,4,6}:{(383,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       399:{2,3,5}:{(385,1),(388,1),(404,1),(408,1)}
       400:{1,4,7}:{(386,1),(387,1),(407,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(409,1)}
       403:{1,4,6}:{(390,1),(398,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(399,1),(410,1)}
       405:{3,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       406:{3,4,6}:{(395,1),(398,1),(411,1),(412,1)}
       407:{2,4,7}:{(397,1),(398,1),(400,1),(409,1),(411,1)}
       408:{2,4,5}:{(398,1),(399,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(407,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(406,1),(408,1)}

2155 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(97,1)}
         7:{1,2,3,7}:{(2,1),(20,1),(62,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(60,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(110,1),(131,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(80,1),(105,1),(110,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(115,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(37,1),(40,1),(80,1),(81,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(36,1),(38,1)}
        21:{1,2,5}:{(8,1),(37,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(80,1)}
        24:{1,2,3,7}:{(11,1),(43,1),(89,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(87,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(97,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(123,1),(137,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(97,1),(98,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(102,1),(120,1),(123,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(50,1),(58,1),(62,1),(102,1)}
        37:{1,3,5}:{(19,1),(21,1),(51,1),(57,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(58,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(52,1),(59,1),(60,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(61,1),(62,1),(102,1)}
        42:{1,3,4,6}:{(25,1),(26,1),(30,1),(63,1),(64,1),(67,1),(105,1),(106,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(63,1),(65,1)}
        44:{1,2,5}:{(25,1),(64,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(66,1),(67,1),(68,1),(105,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(80,1),(105,1),(117,1),(129,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(115,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,4,7}:{(30,1),(36,1),(63,1),(74,1),(78,1),(115,1)}
        51:{2,3,5}:{(30,1),(37,1),(64,1),(73,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(37,1),(73,1),(80,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(79,1),(81,1)}
        59:{1,3,5,6}:{(37,1),(39,1),(40,1),(75,1),(80,1),(81,1),(82,1),(117,1)}
        60:{1,2,6}:{(38,1),(81,1)}
        61:{1,2,5,7}:{(39,1),(41,1),(76,1),(82,1),(83,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(50,1),(85,1),(89,1),(120,1)}
        64:{1,3,5}:{(42,1),(44,1),(51,1),(84,1)}
        65:{1,2,5,7}:{(43,1),(44,1),(85,1),(87,1)}
        66:{1,2,5,6}:{(44,1),(46,1),(52,1),(86,1),(87,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(88,1),(89,1),(120,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(97,1),(126,1),(136,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(102,1),(120,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(137,1)}
        73:{2,4,5}:{(51,1),(57,1),(84,1),(90,1),(97,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(58,1),(85,1),(96,1),(98,1)}
        75:{2,3,5,6}:{(51,1),(52,1),(55,1),(59,1),(86,1),(91,1),(97,1),(98,1),(99,1),(126,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(96,1),(101,1),(102,1),(128,1)}
        80:{1,4,6}:{(57,1),(59,1),(97,1),(102,1)}
        81:{1,3,6}:{(58,1),(60,1),(98,1),(101,1)}
        82:{1,3,5,7}:{(59,1),(61,1),(62,1),(99,1),(102,1),(103,1),(128,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(64,1),(73,1),(105,1)}
        85:{1,3,5,7}:{(63,1),(64,1),(65,1),(74,1),(104,1),(106,1)}
        86:{1,3,5,6}:{(64,1),(66,1),(67,1),(75,1),(105,1),(106,1),(107,1),(129,1)}
        87:{1,2,6}:{(65,1),(106,1)}
        88:{1,2,5,7}:{(66,1),(68,1),(76,1),(107,1),(108,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(110,1)}
        91:{3,5,6}:{(69,1),(110,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(115,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,5,7}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1),(115,1),(134,1)}
        97:{2,4,6}:{(73,1),(75,1),(80,1),(105,1),(110,1),(115,1)}
        98:{2,3,6}:{(74,1),(81,1),(106,1),(114,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(78,1),(82,1),(107,1),(111,1),(115,1),(116,1),(134,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,6}:{(79,1),(81,1),(114,1),(117,1)}
       102:{1,4,7}:{(80,1),(82,1),(115,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(84,1),(85,1),(96,1),(119,1),(120,1),(135,1)}
       105:{1,4,6}:{(84,1),(86,1),(97,1),(120,1)}
       106:{1,3,6}:{(85,1),(87,1),(98,1),(119,1)}
       107:{1,3,5,7}:{(86,1),(88,1),(89,1),(99,1),(120,1),(121,1),(135,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,5,7}:{(90,1),(96,1),(122,1),(123,1),(137,1)}
       110:{3,4,6}:{(90,1),(91,1),(97,1),(123,1)}
       111:{3,5,7}:{(91,1),(92,1),(123,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,6}:{(96,1),(98,1),(101,1),(119,1),(122,1),(126,1)}
       115:{2,4,7}:{(97,1),(99,1),(102,1),(120,1),(123,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(127,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(106,1),(114,1),(129,1)}
       120:{1,4,7}:{(105,1),(107,1),(115,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(130,1)}
       122:{3,4,6}:{(109,1),(114,1),(131,1)}
       123:{3,4,7}:{(110,1),(111,1),(115,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6}:{(122,1),(126,1),(136,1),(137,1)}
       132:{3,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(137,1),(138,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(137,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(131,1),(139,1)}
       137:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2156 :   0:{1,2,3,5,6}:{(2,1),(3,1),(15,1),(18,1),(67,1),(68,1),(123,1),(221,1),(310,1),(400,1),(408,1),(467,1)}
         1:{1,2,4,5,6}:{(5,1),(6,1),(7,1),(27,1),(31,1),(39,1),(87,1),(168,1),(191,1),(192,1),(368,1),(378,1),(444,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(9,1),(31,1),(357,1),(444,1)}
         3:{1,2,3,5,7}:{(0,1),(9,1),(10,1),(34,1),(38,1),(43,1),(172,1),(274,1),(371,1)}
         4:{1,3,4,5,6}:{(12,1),(13,1),(14,1),(46,1),(51,1),(140,1),(220,1),(333,1),(334,1),(418,1)}
         5:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(18,1),(67,1),(221,1),(418,1)}
         6:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(53,1),(59,1),(132,1),(144,1),(145,1),(222,1),(325,1),(336,1),(411,1)}
         7:{1,2,4,5}:{(2,1),(18,1),(56,1),(467,1),(474,1)}
         8:{1,3,4,6}:{(2,1),(18,1),(20,1),(21,1),(67,1),(221,1),(319,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(21,1),(59,1),(411,1)}
        10:{1,2,3,6,7}:{(3,1),(22,1),(63,1),(67,1),(226,1),(324,1),(400,1),(492,1)}
        11:{1,2,4,5,6}:{(24,1),(25,1),(27,1),(73,1),(78,1),(87,1),(96,1),(160,1),(272,1),(273,1),(295,1),(378,1),(386,1)}
        12:{2,4,5,6}:{(4,1),(26,1),(27,1),(28,1),(31,1),(78,1),(87,1),(191,1),(272,1)}
        13:{1,3,4,5,7}:{(4,1),(28,1),(29,1),(32,1),(79,1),(88,1),(99,1),(171,1),(288,1),(289,1),(381,1)}
        14:{1,3,4,6}:{(5,1),(30,1),(31,1),(32,1),(444,1),(452,1)}
        15:{2,3,5,6}:{(5,1),(31,1),(33,1),(34,1),(37,1),(87,1),(106,1),(179,1),(191,1)}
        16:{1,3,5,7}:{(5,1),(6,1),(32,1),(34,1),(35,1),(274,1),(381,1)}
        17:{1,2,4,6,7}:{(6,1),(35,1),(36,1),(39,1),(90,1),(98,1),(103,1),(183,1),(290,1)}
        18:{1,3,5}:{(7,1),(8,1),(37,1)}
        19:{1,2,4,5,7}:{(7,1),(9,1),(38,1),(39,1),(43,1),(94,1),(112,1)}
        20:{2,3,4,6}:{(8,1),(31,1),(37,1),(40,1),(41,1),(106,1),(179,1),(281,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(38,1),(41,1),(274,1)}
        22:{1,2,4,6,7}:{(9,1),(10,1),(39,1),(42,1),(43,1),(98,1),(436,1),(465,1),(466,1)}
        23:{1,2,3,5,6}:{(44,1),(45,1),(47,1),(61,1),(113,1),(141,1),(149,1),(211,1),(212,1),(253,1),(342,1),(350,1)}
        24:{1,3,5,6}:{(11,1),(46,1),(47,1),(48,1),(113,1),(141,1),(211,1),(418,1)}
        25:{1,2,4,5,7}:{(11,1),(48,1),(49,1),(53,1),(121,1),(132,1),(142,1),(224,1),(225,1),(247,1),(336,1),(345,1)}
        26:{2,3,5,6}:{(12,1),(50,1),(51,1),(52,1),(418,1)}
        27:{1,4,5,6}:{(12,1),(51,1),(53,1),(58,1),(120,1),(244,1),(322,1)}
        28:{2,4,5,7}:{(12,1),(13,1),(52,1),(53,1),(54,1),(59,1),(121,1),(132,1),(144,1),(224,1)}
        29:{1,3,4,6,7}:{(13,1),(54,1),(55,1),(133,1),(238,1),(239,1),(338,1)}
        30:{1,3,4,5}:{(14,1),(18,1),(56,1),(474,1),(481,1)}
        31:{2,4,6}:{(14,1),(15,1),(56,1),(58,1),(59,1)}
        32:{1,3,4,7}:{(14,1),(16,1),(59,1),(411,1),(420,1)}
        33:{1,3,5,6}:{(15,1),(58,1),(61,1),(62,1),(65,1),(141,1),(151,1),(244,1)}
        34:{2,3,5,7}:{(15,1),(16,1),(59,1),(62,1),(63,1),(132,1),(144,1),(233,1)}
        35:{1,3,6,7}:{(16,1),(17,1),(63,1),(67,1),(338,1)}
        36:{1,2,5,6,7}:{(17,1),(64,1),(68,1),(135,1),(144,1),(237,1),(325,1),(430,1)}
        37:{2,3,5}:{(18,1),(20,1),(56,1),(65,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(21,1),(66,1),(67,1)}
        39:{1,2,4,6}:{(19,1),(67,1),(68,1),(139,1),(153,1)}
        40:{1,3,4,6}:{(20,1),(58,1),(65,1),(69,1),(70,1),(141,1),(151,1),(241,1)}
        41:{2,3,4,7}:{(20,1),(21,1),(59,1),(66,1),(70,1),(233,1)}
        42:{1,3,4,6,7}:{(21,1),(22,1),(67,1),(71,1),(72,1),(153,1),(324,1),(349,1),(407,1),(411,1),(433,1),(434,1)}
        43:{1,2,5,7}:{(22,1),(68,1),(72,1),(144,1),(467,1)}
        44:{1,2,4,6}:{(23,1),(73,1),(74,1),(75,1),(78,1),(200,1),(386,1)}
        45:{1,2,3,5,7}:{(23,1),(75,1),(76,1),(81,1),(100,1),(159,1),(164,1),(193,1),(298,1)}
        46:{1,3,4,6}:{(24,1),(77,1),(78,1),(79,1),(386,1),(452,1)}
        47:{2,3,5,6}:{(24,1),(78,1),(80,1),(81,1),(87,1),(158,1),(179,1),(262,1),(272,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(79,1),(81,1),(82,1),(193,1),(381,1)}
        49:{1,2,4,6,7}:{(25,1),(82,1),(83,1),(90,1),(160,1),(170,1),(175,1),(183,1),(290,1)}
        50:{2,3,4,6}:{(26,1),(31,1),(78,1),(84,1),(85,1),(86,1),(179,1),(452,1)}
        51:{1,3,5,6}:{(26,1),(27,1),(85,1),(87,1),(88,1)}
        52:{2,3,5,7}:{(26,1),(28,1),(86,1),(88,1),(89,1),(381,1)}
        53:{1,4,5,7}:{(27,1),(28,1),(88,1),(90,1),(97,1),(169,1),(195,1),(276,1)}
        54:{2,4,6,7}:{(28,1),(29,1),(89,1),(90,1),(91,1),(183,1)}
        55:{1,3,5,6,7}:{(29,1),(91,1),(92,1),(99,1),(171,1),(187,1)}
        56:{2,4,5}:{(30,1),(31,1),(37,1),(93,1)}
        57:{1,3,4,5,7}:{(30,1),(32,1),(38,1),(94,1),(95,1),(99,1),(112,1),(208,1)}
        58:{1,4,6}:{(31,1),(33,1),(93,1),(97,1)}
        59:{2,4,7}:{(31,1),(32,1),(34,1),(97,1)}
        60:{1,3,4,6,7}:{(32,1),(35,1),(95,1),(98,1),(99,1),(103,1),(199,1)}
        61:{1,2,5,6}:{(33,1),(87,1),(96,1),(100,1),(104,1),(202,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(97,1),(100,1),(101,1),(193,1),(195,1)}
        63:{2,3,6,7}:{(34,1),(35,1),(98,1),(101,1),(106,1),(183,1)}
        64:{1,3,5,6,7}:{(35,1),(36,1),(99,1),(102,1),(103,1),(107,1),(371,1),(391,1),(392,1)}
        65:{1,3,5}:{(37,1),(40,1),(93,1),(104,1)}
        66:{2,3,5,7}:{(37,1),(38,1),(41,1),(94,1),(105,1),(106,1)}
        67:{1,3,6}:{(38,1),(39,1),(106,1)}
        68:{1,2,5,6}:{(39,1),(43,1),(107,1),(191,1),(465,1)}
        69:{1,2,4,6}:{(40,1),(104,1),(108,1),(109,1),(200,1),(202,1)}
        70:{1,3,4,7}:{(40,1),(41,1),(97,1),(105,1),(109,1),(193,1)}
        71:{2,3,4,6,7}:{(41,1),(42,1),(98,1),(106,1),(110,1),(111,1),(199,1),(204,1),(286,1),(302,1),(376,1),(380,1),(395,1),(397,1)}
        72:{1,3,5,7}:{(42,1),(43,1),(107,1),(111,1),(112,1),(391,1),(443,1)}
        73:{1,2,4,5}:{(44,1),(113,1),(118,1),(350,1),(424,1)}
        74:{1,3,4,6}:{(44,1),(113,1),(115,1),(116,1),(141,1),(211,1),(241,1)}
        75:{1,2,4,7}:{(44,1),(45,1),(116,1),(121,1),(345,1)}
        76:{1,2,3,6,7}:{(45,1),(117,1),(125,1),(146,1),(211,1),(246,1),(253,1),(541,1)}
        77:{1,3,4,5}:{(46,1),(113,1),(118,1),(424,1),(481,1)}
        78:{2,4,6}:{(46,1),(47,1),(118,1),(120,1),(121,1)}
        79:{1,3,4,7}:{(46,1),(48,1),(121,1),(345,1),(420,1)}
        80:{1,3,5,6}:{(47,1),(120,1),(123,1),(124,1),(209,1),(221,1),(312,1),(322,1)}
        81:{2,3,5,7}:{(47,1),(48,1),(121,1),(124,1),(125,1),(132,1),(224,1),(233,1)}
        82:{1,3,6,7}:{(48,1),(49,1),(125,1),(211,1),(338,1)}
        83:{1,2,5,6,7}:{(49,1),(126,1),(135,1),(212,1),(224,1),(237,1),(247,1),(480,1)}
        84:{2,3,4,5}:{(50,1),(56,1),(118,1),(127,1),(229,1),(481,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(58,1),(120,1),(127,1),(129,1),(130,1),(141,1),(221,1)}
        86:{2,3,4,7}:{(50,1),(52,1),(59,1),(121,1),(130,1),(233,1),(420,1)}
        87:{2,5,6}:{(51,1),(129,1),(132,1)}
        88:{1,3,5,7}:{(51,1),(52,1),(53,1),(130,1),(132,1),(133,1)}
        89:{2,3,6,7}:{(52,1),(54,1),(133,1),(338,1)}
        90:{1,4,6,7}:{(53,1),(54,1),(133,1),(135,1)}
        91:{2,5,6,7}:{(54,1),(55,1),(135,1),(144,1),(224,1)}
        92:{1,4,5,6,7}:{(55,1),(136,1),(145,1),(225,1),(238,1),(340,1)}
        93:{1,4,5}:{(56,1),(58,1),(65,1)}
        94:{2,4,5,7}:{(56,1),(57,1),(59,1),(66,1),(138,1),(139,1),(144,1)}
        95:{1,3,4,6}:{(57,1),(67,1),(139,1),(140,1),(153,1),(256,1)}
        96:{1,2,4,6}:{(58,1),(61,1),(129,1),(137,1),(141,1),(142,1)}
        97:{1,4,7}:{(58,1),(59,1),(62,1)}
        98:{2,4,6,7}:{(59,1),(60,1),(63,1),(139,1),(143,1),(144,1)}
        99:{1,3,5,7}:{(60,1),(140,1),(144,1),(145,1),(249,1)}
       100:{1,2,5,7}:{(61,1),(62,1),(132,1),(142,1),(146,1)}
       101:{1,3,6,7}:{(62,1),(63,1),(143,1),(146,1),(151,1)}
       102:{2,3,5,6,7}:{(63,1),(64,1),(144,1),(147,1),(148,1),(152,1),(237,1),(249,1),(335,1),(338,1),(347,1),(348,1)}
       103:{1,4,6,7}:{(64,1),(145,1),(148,1),(153,1),(411,1)}
       104:{1,2,5}:{(65,1),(69,1)}
       105:{1,3,5,7}:{(65,1),(66,1),(70,1),(138,1),(150,1),(151,1)}
       106:{2,3,6}:{(66,1),(67,1),(139,1),(151,1)}
       107:{1,3,5,6}:{(67,1),(68,1),(72,1),(152,1),(153,1),(427,1),(433,1)}
       108:{1,2,3,6}:{(69,1),(141,1),(149,1),(154,1)}
       109:{1,2,4,7}:{(69,1),(70,1),(150,1),(154,1)}
       110:{1,3,4,6,7}:{(70,1),(71,1),(143,1),(151,1),(155,1),(156,1),(246,1),(255,1),(341,1),(345,1),(352,1),(354,1)}
       111:{2,3,5,7}:{(71,1),(72,1),(144,1),(152,1),(156,1),(157,1),(249,1),(347,1),(416,1)}
       112:{1,4,5,7}:{(72,1),(153,1),(157,1),(411,1),(474,1)}
       113:{1,3,5}:{(73,1),(74,1),(158,1)}
       114:{1,2,4,5,7}:{(73,1),(75,1),(159,1),(160,1),(164,1),(166,1),(268,1)}
       115:{2,3,4,6}:{(74,1),(78,1),(158,1),(161,1),(162,1),(179,1),(262,1),(281,1)}
       116:{1,3,4,7}:{(74,1),(75,1),(159,1),(162,1),(193,1)}
       117:{1,2,4,6,7}:{(75,1),(76,1),(160,1),(163,1),(164,1),(170,1),(303,1),(530,1),(531,1)}
       118:{2,4,5}:{(77,1),(78,1),(158,1),(165,1)}
       119:{1,3,4,5,7}:{(77,1),(79,1),(159,1),(166,1),(167,1),(171,1),(268,1),(365,1)}
       120:{1,4,6}:{(78,1),(80,1),(165,1),(169,1)}
       121:{2,4,7}:{(78,1),(79,1),(81,1),(169,1)}
       122:{1,3,4,6,7}:{(79,1),(82,1),(167,1),(170,1),(171,1),(175,1),(280,1)}
       123:{1,2,5,6}:{(80,1),(87,1),(168,1),(172,1),(260,1),(359,1)}
       124:{1,3,5,7}:{(80,1),(81,1),(169,1),(172,1),(173,1),(274,1),(276,1)}
       125:{2,3,6,7}:{(81,1),(82,1),(170,1),(173,1),(183,1),(262,1)}
       126:{1,3,5,6,7}:{(82,1),(83,1),(171,1),(174,1),(175,1),(263,1),(298,1),(449,1),(450,1)}
       127:{1,3,4,5}:{(84,1),(85,1),(93,1),(165,1),(176,1),(188,1),(269,1)}
       128:{2,3,4,5,7}:{(84,1),(86,1),(94,1),(166,1),(177,1),(178,1),(182,1),(208,1),(282,1),(309,1),(365,1),(380,1),(442,1),(451,1),(455,1),(504,1)}
       129:{2,4,6}:{(85,1),(87,1),(176,1),(179,1),(180,1)}
       130:{1,3,4,7}:{(85,1),(86,1),(88,1),(97,1),(169,1),(180,1),(193,1),(274,1)}
       131:{2,3,4,6,7}:{(86,1),(89,1),(98,1),(170,1),(178,1),(181,1),(182,1),(185,1),(199,1),(280,1),(286,1),(302,1),(375,1),(380,1),(383,1),(455,1)}
       132:{2,5,7}:{(87,1),(88,1),(180,1),(183,1)}
       133:{1,3,6,7}:{(88,1),(89,1),(90,1),(183,1)}
       134:{2,3,5,6,7}:{(89,1),(91,1),(182,1),(184,1),(185,1),(187,1),(292,1),(383,1)}
       135:{1,5,6,7}:{(90,1),(91,1),(195,1),(276,1)}
       136:{2,4,5,6,7}:{(91,1),(92,1),(185,1),(186,1),(187,1),(196,1),(277,1),(290,1),(292,1)}
       137:{1,2,4,5}:{(93,1),(96,1),(104,1),(176,1),(188,1),(200,1)}
       138:{1,4,5,7}:{(93,1),(94,1),(97,1),(105,1),(190,1),(195,1)}
       139:{2,4,6}:{(94,1),(95,1),(106,1),(190,1),(191,1)}
       140:{1,3,5,6}:{(95,1),(99,1),(191,1),(192,1),(297,1)}
       141:{1,3,6}:{(96,1),(179,1),(188,1),(193,1)}
       142:{1,2,4,7}:{(96,1),(97,1),(100,1),(180,1),(193,1)}
       143:{1,4,6,7}:{(97,1),(98,1),(101,1),(190,1),(195,1)}
       144:{2,5,7}:{(98,1),(99,1),(191,1),(195,1)}
       145:{1,4,5,7}:{(99,1),(103,1),(192,1),(196,1),(391,1)}
       146:{1,2,6,7}:{(100,1),(101,1),(183,1),(202,1)}
       147:{1,3,5,6,7}:{(101,1),(102,1),(195,1),(197,1),(198,1),(203,1),(298,1),(300,1),(301,1)}
       148:{2,4,6,7}:{(102,1),(103,1),(196,1),(198,1),(199,1),(204,1),(380,1)}
       149:{1,2,3,5}:{(104,1),(108,1),(188,1),(200,1)}
       150:{1,2,5,7}:{(104,1),(105,1),(109,1),(202,1)}
       151:{1,3,6}:{(105,1),(106,1),(190,1),(202,1)}
       152:{2,3,5,6}:{(106,1),(107,1),(111,1),(191,1),(203,1),(204,1),(297,1),(388,1),(395,1)}
       153:{1,4,6}:{(107,1),(112,1),(204,1)}
       154:{1,2,3,7}:{(108,1),(109,1),(193,1)}
       155:{1,2,4,6,7}:{(109,1),(110,1),(202,1),(205,1),(206,1),(302,1),(303,1),(305,1),(307,1)}
       156:{1,3,5,7}:{(110,1),(111,1),(195,1),(203,1),(206,1),(207,1),(385,1)}
       157:{2,4,5,7}:{(111,1),(112,1),(204,1),(207,1),(208,1),(380,1),(451,1)}
       158:{2,3,5}:{(113,1),(115,1),(118,1),(209,1)}
       159:{1,3,5,7}:{(113,1),(114,1),(116,1),(210,1),(211,1)}
       160:{1,2,4,6}:{(114,1),(211,1),(212,1),(219,1),(314,1)}
       161:{1,3,4,6}:{(115,1),(120,1),(209,1),(213,1),(214,1),(221,1),(312,1),(319,1)}
       162:{2,3,4,7}:{(115,1),(116,1),(121,1),(210,1),(214,1),(233,1)}
       163:{1,3,4,6,7}:{(116,1),(117,1),(211,1),(215,1),(216,1),(246,1),(314,1),(341,1),(345,1),(415,1),(515,1),(516,1)}
       164:{1,2,5,7}:{(117,1),(212,1),(216,1),(224,1),(350,1)}
       165:{1,4,5}:{(118,1),(120,1),(209,1)}
       166:{2,4,5,7}:{(118,1),(119,1),(121,1),(210,1),(218,1),(219,1),(224,1)}
       167:{1,3,4,6}:{(119,1),(211,1),(219,1),(220,1),(314,1),(403,1)}
       168:{1,2,4,6}:{(120,1),(123,1),(129,1),(217,1),(221,1),(222,1)}
       169:{1,4,7}:{(120,1),(121,1),(124,1)}
       170:{2,4,6,7}:{(121,1),(122,1),(125,1),(219,1),(223,1),(224,1)}
       171:{1,3,5,7}:{(122,1),(220,1),(224,1),(225,1),(327,1)}
       172:{1,2,5,7}:{(123,1),(124,1),(132,1),(222,1),(226,1)}
       173:{1,3,6,7}:{(124,1),(125,1),(223,1),(226,1),(312,1)}
       174:{2,3,5,6,7}:{(125,1),(126,1),(224,1),(227,1),(228,1),(237,1),(313,1),(327,1),(335,1),(338,1),(413,1),(414,1)}
       175:{1,4,6,7}:{(126,1),(225,1),(228,1),(314,1),(345,1)}
       176:{2,4,5}:{(127,1),(129,1),(229,1)}
       177:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(138,1),(218,1),(230,1),(231,1),(235,1),(242,1),(320,1),(345,1),(356,1),(411,1),(420,1),(424,1),(473,1),(474,1),(481,1),(484,1),(522,1)}
       178:{2,3,4,6}:{(128,1),(139,1),(219,1),(231,1),(232,1),(256,1),(331,1),(353,1),(403,1),(417,1),(470,1)}
       179:{2,3,6}:{(129,1),(141,1),(221,1),(229,1),(233,1)}
       180:{2,4,7}:{(129,1),(130,1),(132,1),(233,1)}
       181:{1,3,4,6,7}:{(130,1),(131,1),(133,1),(143,1),(223,1),(231,1),(234,1),(235,1),(238,1),(246,1),(324,1),(338,1),(345,1),(349,1),(411,1),(415,1),(420,1),(423,1),(484,1)}
       182:{2,3,5,7}:{(131,1),(144,1),(224,1),(232,1),(235,1),(236,1),(249,1),(327,1),(347,1),(413,1)}
       183:{2,6,7}:{(132,1),(133,1)}
       184:{1,3,5,6,7}:{(133,1),(134,1),(135,1),(235,1),(237,1),(238,1),(338,1),(340,1),(423,1)}
       185:{2,4,6,7}:{(134,1),(236,1),(238,1),(239,1)}
       186:{1,4,5,6,7}:{(135,1),(136,1),(238,1),(240,1),(248,1),(326,1)}
       187:{3,5,6,7}:{(136,1),(239,1),(249,1),(327,1),(338,1)}
       188:{1,3,5}:{(137,1),(141,1),(229,1),(241,1)}
       189:{1,2,4,5,7}:{(137,1),(138,1),(142,1),(150,1),(230,1),(242,1),(243,1),(247,1),(252,1),(345,1),(350,1),(424,1),(473,1),(517,1),(521,1),(542,1)}
       190:{1,4,6}:{(138,1),(139,1),(151,1),(244,1)}
       191:{2,5,6}:{(139,1),(140,1),(144,1),(244,1)}
       192:{1,4,5,6}:{(140,1),(145,1),(153,1),(245,1),(427,1)}
       193:{1,3,7}:{(141,1),(142,1),(233,1)}
       194:{1,2,4,6,7}:{(142,1),(143,1),(146,1),(234,1),(243,1),(246,1),(247,1),(345,1),(415,1),(480,1),(521,1)}
       195:{1,5,7}:{(143,1),(144,1),(244,1)}
       196:{2,4,5,7}:{(144,1),(145,1),(148,1),(245,1),(248,1),(249,1),(347,1)}
       197:{1,2,5,6,7}:{(146,1),(147,1),(237,1),(247,1),(250,1),(254,1),(340,1),(347,1)}
       198:{1,4,6,7}:{(147,1),(148,1),(248,1),(255,1),(345,1)}
       199:{3,4,6,7}:{(148,1),(249,1),(256,1),(338,1),(420,1)}
       200:{1,2,4}:{(149,1),(241,1)}
       201:{1,2,3,5,7}:{(149,1),(150,1),(154,1),(242,1),(252,1),(253,1),(350,1),(517,1),(541,1),(550,1)}
       202:{1,2,6}:{(150,1),(151,1)}
       203:{1,3,5,6}:{(151,1),(152,1),(156,1),(244,1),(254,1),(255,1),(352,1)}
       204:{2,4,6}:{(152,1),(153,1),(157,1),(255,1),(256,1)}
       205:{1,2,3,6,7}:{(154,1),(155,1),(246,1),(253,1),(257,1),(348,1),(352,1),(480,1)}
       206:{1,2,5,7}:{(155,1),(156,1),(254,1),(347,1),(350,1)}
       207:{1,4,5,7}:{(156,1),(157,1),(255,1),(345,1),(424,1)}
       208:{3,4,5,7}:{(157,1),(249,1),(256,1),(420,1),(481,1)}
       209:{1,3,5}:{(158,1),(161,1),(165,1),(260,1)}
       210:{2,3,5,7}:{(158,1),(159,1),(162,1),(166,1),(261,1),(262,1)}
       211:{1,3,6}:{(159,1),(160,1),(262,1)}
       212:{1,2,5,6}:{(160,1),(164,1),(263,1),(272,1),(530,1)}
       213:{1,2,4,6}:{(161,1),(260,1),(264,1),(265,1),(357,1),(359,1)}
       214:{1,3,4,7}:{(161,1),(162,1),(169,1),(261,1),(265,1),(274,1)}
       215:{2,3,4,6,7}:{(162,1),(163,1),(170,1),(262,1),(266,1),(267,1),(280,1),(286,1),(361,1),(375,1),(376,1),(380,1),(495,1),(497,1)}
       216:{1,3,5,7}:{(163,1),(164,1),(263,1),(267,1),(268,1),(385,1),(449,1)}
       217:{1,2,4,5}:{(165,1),(168,1),(176,1),(260,1),(269,1),(357,1)}
       218:{1,4,5,7}:{(165,1),(166,1),(169,1),(261,1),(271,1),(276,1)}
       219:{2,4,6}:{(166,1),(167,1),(262,1),(271,1),(272,1)}
       220:{1,3,5,6}:{(167,1),(171,1),(272,1),(273,1),(370,1)}
       221:{1,3,6}:{(168,1),(179,1),(269,1),(274,1)}
       222:{1,2,4,7}:{(168,1),(169,1),(172,1),(180,1),(274,1)}
       223:{1,4,6,7}:{(169,1),(170,1),(173,1),(271,1),(276,1)}
       224:{2,5,7}:{(170,1),(171,1),(272,1),(276,1)}
       225:{1,4,5,7}:{(171,1),(175,1),(273,1),(277,1),(449,1)}
       226:{1,2,6,7}:{(172,1),(173,1),(183,1),(359,1)}
       227:{1,3,5,6,7}:{(173,1),(174,1),(276,1),(278,1),(279,1),(360,1),(371,1),(373,1),(374,1)}
       228:{2,4,6,7}:{(174,1),(175,1),(277,1),(279,1),(280,1),(361,1),(380,1)}
       229:{2,3,5}:{(176,1),(179,1),(188,1),(269,1),(281,1)}
       230:{2,4,5,7}:{(176,1),(177,1),(180,1),(282,1),(283,1),(287,1),(380,1),(451,1),(507,1),(535,1)}
       231:{1,3,4,6}:{(177,1),(178,1),(190,1),(271,1),(283,1),(284,1),(294,1),(367,1),(386,1),(396,1),(444,1),(452,1),(496,1)}
       232:{2,3,5,6}:{(178,1),(182,1),(191,1),(272,1),(284,1),(285,1),(297,1),(370,1),(388,1),(446,1)}
       233:{2,3,7}:{(179,1),(180,1),(193,1),(274,1)}
       234:{2,4,6,7}:{(180,1),(181,1),(183,1),(283,1),(286,1),(287,1),(380,1),(457,1),(507,1)}
       235:{1,3,5,7}:{(181,1),(182,1),(195,1),(276,1),(284,1),(287,1),(288,1),(381,1),(391,1),(449,1)}
       236:{2,4,5,7}:{(182,1),(185,1),(285,1),(288,1),(289,1),(380,1)}
       237:{2,5,6,7}:{(183,1),(184,1),(287,1),(290,1),(457,1)}
       238:{1,4,6,7}:{(184,1),(185,1),(288,1),(290,1)}
       239:{3,4,6,7}:{(185,1),(187,1),(289,1)}
       240:{1,3,5,6,7}:{(186,1),(187,1),(291,1),(292,1),(300,1),(373,1)}
       241:{1,3,4}:{(188,1),(200,1),(281,1)}
       242:{1,3,5,7}:{(188,1),(189,1),(193,1),(282,1),(293,1),(294,1),(385,1),(534,1),(548,1)}
       243:{1,2,4,6}:{(189,1),(190,1),(202,1),(283,1),(294,1),(295,1),(386,1),(496,1),(530,1)}
       244:{1,5,6}:{(190,1),(191,1),(195,1)}
       245:{2,4,5,6}:{(191,1),(192,1),(196,1),(204,1),(296,1),(297,1),(388,1)}
       246:{1,3,6,7}:{(193,1),(194,1),(286,1),(294,1),(298,1),(534,1)}
       247:{1,2,5,7}:{(194,1),(195,1),(287,1),(295,1),(298,1),(449,1)}
       248:{1,4,5,7}:{(195,1),(196,1),(198,1),(296,1),(300,1)}
       249:{3,5,7}:{(196,1),(199,1),(297,1)}
       250:{1,2,4,6,7}:{(197,1),(198,1),(290,1),(299,1),(301,1),(302,1),(305,1),(384,1),(457,1)}
       251:{1,3,4,6,7}:{(198,1),(199,1),(300,1),(301,1),(302,1),(306,1),(389,1)}
       252:{1,2,4,7}:{(200,1),(201,1),(293,1),(303,1),(552,1)}
       253:{1,2,3,6}:{(201,1),(202,1),(294,1),(303,1),(530,1)}
       254:{1,2,5,6}:{(202,1),(203,1),(206,1),(305,1),(388,1)}
       255:{1,4,6}:{(203,1),(204,1),(207,1)}
       256:{3,4,6}:{(204,1),(208,1),(297,1)}
       257:{1,2,3,5,7}:{(205,1),(206,1),(298,1),(304,1),(307,1),(308,1),(390,1),(503,1),(534,1)}
       258:{1,2,4,5,7}:{(206,1),(207,1),(305,1),(307,1),(308,1),(309,1),(393,1)}
       259:{1,3,4,5,7}:{(207,1),(208,1),(300,1),(306,1),(308,1),(309,1),(389,1),(458,1)}
       260:{1,2,5}:{(209,1),(213,1)}
       261:{1,3,5,7}:{(209,1),(210,1),(214,1),(218,1),(311,1),(312,1)}
       262:{2,3,6}:{(210,1),(211,1),(219,1),(312,1)}
       263:{1,3,5,6}:{(211,1),(212,1),(216,1),(313,1),(314,1),(477,1),(515,1)}
       264:{1,2,3,6}:{(213,1),(221,1),(310,1),(315,1)}
       265:{1,2,4,7}:{(213,1),(214,1),(311,1),(315,1)}
       266:{1,3,4,6,7}:{(214,1),(215,1),(223,1),(312,1),(316,1),(317,1),(324,1),(402,1),(407,1),(411,1),(469,1),(471,1)}
       267:{2,3,5,7}:{(215,1),(216,1),(224,1),(313,1),(317,1),(318,1),(327,1),(413,1),(416,1)}
       268:{1,4,5,7}:{(216,1),(314,1),(318,1),(345,1),(424,1)}
       269:{1,3,5}:{(217,1),(221,1),(229,1),(319,1)}
       270:{1,2,4,5,7}:{(217,1),(218,1),(222,1),(230,1),(311,1),(320,1),(321,1),(325,1),(356,1),(399,1),(411,1),(435,1),(467,1),(474,1),(489,1),(525,1)}
       271:{1,4,6}:{(218,1),(219,1),(312,1),(322,1)}
       272:{2,5,6}:{(219,1),(220,1),(224,1),(322,1)}
       273:{1,4,5,6}:{(220,1),(225,1),(314,1),(323,1),(477,1)}
       274:{1,3,7}:{(221,1),(222,1),(233,1)}
       275:{1,2,4,6,7}:{(222,1),(223,1),(226,1),(234,1),(321,1),(324,1),(325,1),(349,1),(411,1),(430,1),(489,1)}
       276:{1,5,7}:{(223,1),(224,1),(322,1)}
       277:{2,4,5,7}:{(224,1),(225,1),(228,1),(323,1),(326,1),(327,1),(413,1)}
       278:{1,2,5,6,7}:{(226,1),(227,1),(237,1),(325,1),(328,1),(340,1),(401,1),(413,1)}
       279:{1,4,6,7}:{(227,1),(228,1),(326,1),(402,1),(411,1)}
       280:{3,4,6,7}:{(228,1),(327,1),(338,1),(403,1),(420,1)}
       281:{2,3,4}:{(229,1),(241,1),(319,1)}
       282:{2,3,5,7}:{(229,1),(230,1),(233,1),(242,1),(320,1),(330,1),(331,1),(416,1),(524,1),(544,1)}
       283:{2,4,6}:{(230,1),(231,1),(331,1),(332,1)}
       284:{1,3,5,6}:{(231,1),(232,1),(235,1),(244,1),(322,1),(332,1),(333,1),(418,1),(427,1),(477,1)}
       285:{2,4,5,6}:{(232,1),(236,1),(333,1),(334,1),(417,1)}
       286:{2,3,6,7}:{(233,1),(234,1),(246,1),(324,1),(331,1),(335,1),(338,1),(524,1)}
       287:{2,5,7}:{(234,1),(235,1),(332,1)}
       288:{1,4,5,7}:{(235,1),(236,1),(238,1),(333,1),(336,1),(345,1),(411,1)}
       289:{3,4,5,7}:{(236,1),(239,1),(249,1),(327,1),(334,1),(420,1)}
       290:{2,4,6,7}:{(237,1),(238,1),(336,1),(338,1)}
       291:{1,3,4,6,7}:{(238,1),(239,1),(240,1),(337,1),(338,1),(339,1),(423,1)}
       292:{2,5,6,7}:{(240,1),(339,1),(340,1),(347,1),(413,1)}
       293:{1,3,4,7}:{(241,1),(242,1),(252,1),(330,1),(341,1),(345,1),(551,1)}
       294:{1,3,6}:{(242,1),(243,1),(331,1)}
       295:{1,2,5,6}:{(243,1),(244,1),(247,1),(332,1),(342,1),(350,1),(477,1)}
       296:{1,4,5,6}:{(244,1),(245,1),(248,1),(255,1),(344,1)}
       297:{3,5,6}:{(245,1),(249,1),(256,1)}
       298:{1,3,5,7}:{(246,1),(247,1),(335,1),(342,1),(345,1)}
       299:{1,2,4,5,7}:{(247,1),(248,1),(250,1),(336,1),(343,1),(345,1),(346,1),(347,1),(422,1),(428,1),(485,1),(521,1)}
       300:{1,3,5,7}:{(248,1),(249,1),(251,1),(344,1),(347,1)}
       301:{1,3,6,7}:{(250,1),(338,1),(346,1),(348,1),(352,1)}
       302:{2,4,6,7}:{(251,1),(347,1),(348,1),(349,1),(353,1),(428,1)}
       303:{1,2,4,6}:{(252,1),(253,1),(341,1),(350,1)}
       304:{1,2,3,5,6}:{(253,1),(254,1),(257,1),(342,1),(350,1),(351,1),(352,1),(426,1),(431,1),(520,1),(543,1),(550,1)}
       305:{1,2,4,6}:{(254,1),(255,1),(258,1),(352,1),(353,1)}
       306:{1,3,4,6}:{(255,1),(256,1),(259,1),(344,1),(352,1),(353,1)}
       307:{1,2,4,7}:{(257,1),(345,1),(351,1),(354,1),(428,1)}
       308:{1,3,5,7}:{(258,1),(352,1),(354,1),(355,1),(431,1)}
       309:{2,4,5,7}:{(259,1),(347,1),(353,1),(355,1),(356,1),(428,1),(486,1)}
       310:{1,2,3,5}:{(260,1),(264,1),(269,1),(357,1)}
       311:{1,2,5,7}:{(260,1),(261,1),(265,1),(359,1)}
       312:{1,3,6}:{(261,1),(262,1),(271,1),(359,1)}
       313:{2,3,5,6}:{(262,1),(263,1),(267,1),(272,1),(360,1),(361,1),(370,1),(446,1),(495,1)}
       314:{1,4,6}:{(263,1),(268,1),(361,1)}
       315:{1,2,3,7}:{(264,1),(265,1),(274,1)}
       316:{1,2,4,6,7}:{(265,1),(266,1),(359,1),(362,1),(363,1),(375,1),(436,1),(438,1),(440,1)}
       317:{1,3,5,7}:{(266,1),(267,1),(276,1),(360,1),(363,1),(364,1),(443,1)}
       318:{2,4,5,7}:{(267,1),(268,1),(361,1),(364,1),(365,1),(380,1),(451,1)}
       319:{1,3,4}:{(269,1),(281,1),(357,1)}
       320:{1,3,5,7}:{(269,1),(270,1),(274,1),(282,1),(366,1),(367,1),(443,1),(510,1),(537,1)}
       321:{1,2,4,6}:{(270,1),(271,1),(283,1),(359,1),(367,1),(368,1),(396,1),(444,1),(465,1)}
       322:{1,5,6}:{(271,1),(272,1),(276,1)}
       323:{2,4,5,6}:{(272,1),(273,1),(277,1),(361,1),(369,1),(370,1),(446,1)}
       324:{1,3,6,7}:{(274,1),(275,1),(286,1),(367,1),(371,1),(510,1)}
       325:{1,2,5,7}:{(275,1),(276,1),(287,1),(368,1),(371,1),(391,1)}
       326:{1,4,5,7}:{(276,1),(277,1),(279,1),(369,1),(373,1)}
       327:{3,5,7}:{(277,1),(280,1),(370,1)}
       328:{1,2,4,6,7}:{(278,1),(279,1),(290,1),(372,1),(374,1),(375,1),(384,1),(438,1),(457,1)}
       329:{1,3,4,6,7}:{(279,1),(280,1),(373,1),(374,1),(375,1),(439,1),(447,1)}
       330:{2,3,4,7}:{(281,1),(282,1),(293,1),(366,1),(376,1),(380,1),(549,1)}
       331:{2,3,6}:{(282,1),(283,1),(294,1),(367,1)}
       332:{2,5,6}:{(283,1),(284,1),(287,1)}
       333:{1,4,5,6}:{(284,1),(285,1),(288,1),(378,1),(386,1),(444,1)}
       334:{3,4,5,6}:{(285,1),(289,1),(297,1),(370,1),(452,1)}
       335:{2,3,5,7}:{(286,1),(287,1),(298,1),(371,1),(377,1),(380,1),(381,1)}
       336:{2,4,5,7}:{(287,1),(288,1),(290,1),(378,1),(380,1),(381,1)}
       337:{1,3,4,5,7}:{(288,1),(289,1),(291,1),(300,1),(373,1),(379,1),(381,1),(382,1),(389,1),(447,1),(456,1)}
       338:{3,6,7}:{(290,1),(381,1)}
       339:{2,4,6,7}:{(291,1),(292,1),(382,1),(383,1),(384,1),(457,1)}
       340:{1,5,6,7}:{(292,1),(384,1),(391,1),(449,1)}
       341:{1,3,4,6}:{(293,1),(294,1),(303,1),(376,1),(385,1),(386,1)}
       342:{1,3,5,6}:{(294,1),(295,1),(298,1),(377,1),(385,1),(386,1)}
       343:{1,2,4,5,6}:{(295,1),(296,1),(299,1),(305,1),(378,1),(386,1),(387,1),(388,1),(393,1),(454,1),(459,1),(506,1),(533,1)}
       344:{1,3,5,6}:{(296,1),(297,1),(300,1),(306,1),(388,1)}
       345:{1,4,7}:{(298,1),(380,1),(386,1)}
       346:{1,3,5,7}:{(299,1),(301,1),(381,1),(387,1),(389,1),(390,1),(534,1)}
       347:{2,5,7}:{(300,1),(302,1),(388,1),(391,1)}
       348:{2,3,6,7}:{(301,1),(302,1),(390,1),(392,1),(395,1),(457,1)}
       349:{1,4,6,7}:{(302,1),(391,1),(392,1),(396,1),(461,1)}
       350:{1,2,5}:{(303,1),(385,1)}
       351:{1,2,4,6}:{(304,1),(307,1),(386,1),(393,1),(394,1),(459,1),(552,1)}
       352:{1,3,6}:{(305,1),(308,1),(395,1)}
       353:{2,4,6}:{(306,1),(309,1),(388,1),(395,1),(396,1)}
       354:{1,3,4,7}:{(307,1),(308,1),(394,1),(397,1),(534,1)}
       355:{2,3,5,7}:{(308,1),(309,1),(395,1),(397,1),(398,1),(463,1)}
       356:{1,4,5,7}:{(309,1),(391,1),(396,1),(398,1),(461,1),(508,1)}
       357:{1,2,4}:{(310,1),(319,1)}
       358:{1,2,3,5,7}:{(310,1),(311,1),(315,1),(320,1),(399,1),(400,1),(435,1),(467,1),(492,1),(527,1)}
       359:{1,2,6}:{(311,1),(312,1)}
       360:{1,3,5,6}:{(312,1),(313,1),(317,1),(322,1),(401,1),(402,1),(469,1)}
       361:{2,4,6}:{(313,1),(314,1),(318,1),(402,1),(403,1)}
       362:{1,2,3,6,7}:{(315,1),(316,1),(324,1),(400,1),(404,1),(414,1),(430,1),(469,1)}
       363:{1,2,5,7}:{(316,1),(317,1),(401,1),(413,1),(467,1)}
       364:{1,4,5,7}:{(317,1),(318,1),(402,1),(411,1),(474,1)}
       365:{3,4,5,7}:{(318,1),(327,1),(403,1),(420,1),(481,1)}
       366:{1,3,4,7}:{(319,1),(320,1),(330,1),(399,1),(407,1),(411,1),(545,1)}
       367:{1,3,6}:{(320,1),(321,1),(331,1)}
       368:{1,2,5,6}:{(321,1),(322,1),(325,1),(332,1),(408,1),(427,1),(467,1)}
       369:{1,4,5,6}:{(322,1),(323,1),(326,1),(402,1),(410,1)}
       370:{3,5,6}:{(323,1),(327,1),(403,1)}
       371:{1,3,5,7}:{(324,1),(325,1),(335,1),(408,1),(411,1)}
       372:{1,2,4,5,7}:{(325,1),(326,1),(328,1),(336,1),(409,1),(411,1),(412,1),(413,1),(422,1),(478,1),(485,1),(489,1)}
       373:{1,3,5,7}:{(326,1),(327,1),(329,1),(410,1),(413,1)}
       374:{1,3,6,7}:{(328,1),(338,1),(412,1),(414,1),(469,1)}
       375:{2,4,6,7}:{(329,1),(413,1),(414,1),(415,1),(470,1),(478,1)}
       376:{2,3,4,6}:{(330,1),(331,1),(341,1),(407,1),(416,1),(417,1)}
       377:{2,3,5,6}:{(331,1),(332,1),(335,1),(342,1),(408,1),(416,1),(417,1),(418,1)}
       378:{2,4,5,6}:{(332,1),(333,1),(336,1),(417,1),(418,1)}
       379:{1,3,4,5,6}:{(333,1),(334,1),(337,1),(344,1),(410,1),(418,1),(419,1),(425,1),(475,1),(483,1)}
       380:{2,4,7}:{(335,1),(345,1),(411,1),(417,1),(420,1)}
       381:{3,5,7}:{(336,1),(338,1),(418,1),(420,1)}
       382:{2,4,5,7}:{(337,1),(339,1),(347,1),(413,1),(419,1),(421,1),(422,1),(428,1),(478,1),(485,1)}
       383:{2,3,6,7}:{(338,1),(339,1),(421,1),(423,1)}
       384:{1,4,6,7}:{(339,1),(340,1),(422,1),(423,1)}
       385:{1,3,5}:{(341,1),(350,1),(416,1),(424,1)}
       386:{1,4,6}:{(342,1),(345,1),(417,1),(424,1)}
       387:{1,3,5,6}:{(343,1),(346,1),(352,1),(418,1),(425,1),(426,1),(431,1),(543,1)}
       388:{2,5,6}:{(344,1),(347,1),(353,1),(427,1)}
       389:{1,3,4,7}:{(345,1),(346,1),(420,1),(425,1),(428,1)}
       390:{2,3,5,7}:{(346,1),(347,1),(348,1),(426,1),(428,1),(429,1),(485,1),(524,1)}
       391:{1,5,7}:{(347,1),(349,1),(427,1)}
       392:{1,3,6,7}:{(348,1),(349,1),(429,1),(430,1),(433,1)}
       393:{1,2,4,5}:{(350,1),(351,1),(424,1),(431,1),(486,1)}
       394:{1,3,4,6}:{(351,1),(352,1),(354,1),(431,1),(432,1),(543,1),(551,1)}
       395:{2,3,6}:{(352,1),(353,1),(355,1),(433,1)}
       396:{1,4,6}:{(353,1),(356,1),(427,1),(433,1)}
       397:{2,3,4,7}:{(354,1),(355,1),(428,1),(432,1),(434,1),(524,1)}
       398:{1,3,5,7}:{(355,1),(356,1),(433,1),(434,1),(435,1),(490,1)}
       399:{1,2,4,7}:{(357,1),(358,1),(366,1),(436,1),(538,1)}
       400:{1,2,3,6}:{(358,1),(359,1),(367,1),(436,1),(465,1)}
       401:{1,2,5,6}:{(359,1),(360,1),(363,1),(438,1),(446,1)}
       402:{1,4,6}:{(360,1),(361,1),(364,1)}
       403:{3,4,6}:{(361,1),(365,1),(370,1)}
       404:{1,2,3,5,7}:{(362,1),(363,1),(371,1),(437,1),(440,1),(441,1),(448,1),(462,1),(510,1)}
       405:{1,2,4,5,7}:{(363,1),(364,1),(438,1),(440,1),(441,1),(442,1),(493,1)}
       406:{1,3,4,5,7}:{(364,1),(365,1),(373,1),(439,1),(441,1),(442,1),(447,1),(499,1)}
       407:{1,3,4,6}:{(366,1),(367,1),(376,1),(436,1),(443,1),(444,1)}
       408:{1,3,5,6}:{(367,1),(368,1),(371,1),(377,1),(443,1),(444,1)}
       409:{1,2,4,5,6}:{(368,1),(369,1),(372,1),(378,1),(438,1),(444,1),(445,1),(446,1),(454,1),(493,1),(500,1),(506,1),(509,1)}
       410:{1,3,5,6}:{(369,1),(370,1),(373,1),(439,1),(446,1)}
       411:{1,4,7}:{(371,1),(380,1),(444,1)}
       412:{1,3,5,7}:{(372,1),(374,1),(381,1),(445,1),(447,1),(448,1),(510,1)}
       413:{2,5,7}:{(373,1),(375,1),(446,1),(449,1)}
       414:{2,3,6,7}:{(374,1),(375,1),(448,1),(450,1),(457,1),(495,1)}
       415:{1,4,6,7}:{(375,1),(449,1),(450,1),(496,1),(502,1)}
       416:{2,3,5}:{(376,1),(385,1),(443,1),(451,1)}
       417:{2,4,6}:{(377,1),(380,1),(386,1),(444,1),(451,1),(452,1)}
       418:{3,5,6}:{(378,1),(381,1),(452,1)}
       419:{2,4,5,6}:{(379,1),(382,1),(388,1),(446,1),(453,1),(454,1),(459,1),(500,1),(506,1)}
       420:{3,4,7}:{(380,1),(381,1),(452,1)}
       421:{2,3,5,7}:{(381,1),(382,1),(383,1),(453,1),(455,1),(456,1)}
       422:{1,4,5,7}:{(382,1),(384,1),(391,1),(449,1),(454,1),(456,1),(461,1),(502,1)}
       423:{1,3,6,7}:{(383,1),(384,1),(456,1),(457,1)}
       424:{1,4,5}:{(385,1),(386,1),(451,1)}
       425:{1,3,4,6}:{(386,1),(387,1),(389,1),(452,1),(458,1),(459,1)}
       426:{2,3,5,6}:{(387,1),(388,1),(390,1),(395,1),(459,1),(460,1),(463,1),(506,1),(536,1)}
       427:{1,5,6}:{(388,1),(391,1),(396,1)}
       428:{2,4,7}:{(389,1),(390,1),(459,1),(461,1)}
       429:{1,3,5,7}:{(390,1),(391,1),(392,1),(460,1),(461,1),(462,1),(510,1)}
       430:{1,2,6,7}:{(392,1),(457,1),(462,1),(465,1)}
       431:{1,3,5}:{(393,1),(394,1),(463,1)}
       432:{2,3,4,6}:{(394,1),(395,1),(397,1),(459,1),(463,1),(464,1),(536,1),(549,1)}
       433:{1,3,6}:{(395,1),(396,1),(398,1),(465,1)}
       434:{1,3,4,7}:{(397,1),(398,1),(461,1),(464,1),(466,1),(510,1)}
       435:{1,2,5,7}:{(398,1),(465,1),(466,1),(511,1)}
       436:{1,2,4,6}:{(399,1),(400,1),(407,1),(467,1)}
       437:{1,2,3,5,6}:{(400,1),(401,1),(404,1),(408,1),(467,1),(468,1),(469,1),(476,1),(488,1),(513,1),(526,1),(527,1)}
       438:{1,2,4,6}:{(401,1),(402,1),(405,1),(469,1),(470,1)}
       439:{1,3,4,6}:{(402,1),(403,1),(406,1),(410,1),(469,1),(470,1)}
       440:{1,2,4,7}:{(404,1),(411,1),(468,1),(471,1),(478,1)}
       441:{1,3,5,7}:{(405,1),(469,1),(471,1),(472,1),(513,1)}
       442:{2,4,5,7}:{(406,1),(413,1),(470,1),(472,1),(473,1),(478,1),(518,1)}
       443:{1,3,5}:{(407,1),(416,1),(467,1),(474,1)}
       444:{1,4,6}:{(408,1),(411,1),(417,1),(474,1)}
       445:{1,3,5,6}:{(409,1),(412,1),(418,1),(469,1),(475,1),(476,1),(513,1),(526,1)}
       446:{2,5,6}:{(410,1),(413,1),(470,1),(477,1)}
       447:{1,3,4,7}:{(411,1),(412,1),(420,1),(475,1),(478,1)}
       448:{2,3,5,7}:{(412,1),(413,1),(414,1),(476,1),(478,1),(479,1),(485,1),(524,1)}
       449:{1,5,7}:{(413,1),(415,1),(477,1)}
       450:{1,3,6,7}:{(414,1),(415,1),(479,1),(480,1),(515,1)}
       451:{2,4,5}:{(416,1),(417,1),(424,1),(474,1),(481,1)}
       452:{3,4,6}:{(417,1),(418,1),(420,1),(481,1)}
       453:{2,3,5,6}:{(418,1),(419,1),(421,1),(482,1),(483,1)}
       454:{1,4,5,6}:{(419,1),(422,1),(427,1),(477,1),(483,1),(487,1),(519,1)}
       455:{2,3,4,7}:{(420,1),(421,1),(428,1),(478,1),(482,1),(484,1),(524,1)}
       456:{1,3,5,7}:{(421,1),(422,1),(423,1),(483,1),(484,1),(485,1)}
       457:{2,6,7}:{(423,1),(485,1)}
       458:{1,3,4,5}:{(424,1),(425,1),(431,1),(481,1),(486,1)}
       459:{2,4,6}:{(425,1),(426,1),(428,1),(486,1),(487,1)}
       460:{1,3,5,6}:{(426,1),(427,1),(429,1),(433,1),(487,1),(488,1),(490,1),(526,1)}
       461:{1,4,7}:{(428,1),(429,1),(487,1)}
       462:{1,2,5,7}:{(429,1),(430,1),(485,1),(488,1),(489,1)}
       463:{2,3,5}:{(431,1),(432,1),(486,1),(490,1)}
       464:{1,3,4,6}:{(432,1),(433,1),(434,1),(487,1),(490,1),(491,1),(526,1),(545,1)}
       465:{1,2,6}:{(433,1),(435,1)}
       466:{1,2,4,7}:{(434,1),(435,1),(491,1),(492,1)}
       467:{1,2,5}:{(436,1),(443,1)}
       468:{1,2,4,6}:{(437,1),(440,1),(444,1),(493,1),(494,1),(500,1),(538,1)}
       469:{1,3,6}:{(438,1),(441,1),(495,1)}
       470:{2,4,6}:{(439,1),(442,1),(446,1),(495,1),(496,1)}
       471:{1,3,4,7}:{(440,1),(441,1),(494,1),(497,1),(510,1)}
       472:{2,3,5,7}:{(441,1),(442,1),(495,1),(497,1),(498,1),(528,1)}
       473:{1,4,5,7}:{(442,1),(449,1),(496,1),(498,1),(502,1),(532,1)}
       474:{1,4,5}:{(443,1),(444,1),(451,1)}
       475:{1,3,4,6}:{(444,1),(445,1),(447,1),(452,1),(499,1),(500,1)}
       476:{2,3,5,6}:{(445,1),(446,1),(448,1),(495,1),(500,1),(501,1),(506,1),(528,1),(536,1)}
       477:{1,5,6}:{(446,1),(449,1),(496,1)}
       478:{2,4,7}:{(447,1),(448,1),(500,1),(502,1)}
       479:{1,3,5,7}:{(448,1),(449,1),(450,1),(501,1),(502,1),(503,1),(534,1)}
       480:{1,2,6,7}:{(450,1),(457,1),(503,1),(530,1)}
       481:{3,4,5}:{(451,1),(452,1)}
       482:{2,3,4,6}:{(452,1),(453,1),(455,1),(459,1),(500,1),(504,1),(505,1),(536,1)}
       483:{1,3,5,6}:{(453,1),(454,1),(456,1),(505,1),(506,1)}
       484:{1,3,4,7}:{(455,1),(456,1),(461,1),(502,1),(505,1),(507,1),(510,1),(534,1)}
       485:{2,5,7}:{(456,1),(457,1),(506,1),(507,1)}
       486:{2,4,5}:{(458,1),(459,1),(463,1),(508,1)}
       487:{1,4,6}:{(459,1),(460,1),(461,1),(508,1)}
       488:{1,2,5,6}:{(460,1),(462,1),(465,1),(506,1),(509,1),(511,1)}
       489:{1,2,4,7}:{(461,1),(462,1),(507,1),(509,1),(510,1)}
       490:{1,3,5}:{(463,1),(464,1),(508,1),(511,1)}
       491:{1,2,4,6}:{(464,1),(465,1),(466,1),(511,1),(512,1),(538,1)}
       492:{1,2,3,7}:{(466,1),(510,1),(512,1)}
       493:{1,2,4,5}:{(467,1),(468,1),(474,1),(513,1),(518,1)}
       494:{1,3,4,6}:{(468,1),(469,1),(471,1),(513,1),(514,1),(526,1),(545,1)}
       495:{2,3,6}:{(469,1),(470,1),(472,1),(515,1)}
       496:{1,4,6}:{(470,1),(473,1),(477,1),(515,1)}
       497:{2,3,4,7}:{(471,1),(472,1),(478,1),(514,1),(516,1),(524,1)}
       498:{1,3,5,7}:{(472,1),(473,1),(515,1),(516,1),(517,1),(539,1)}
       499:{1,3,4,5}:{(474,1),(475,1),(481,1),(513,1),(518,1)}
       500:{2,4,6}:{(475,1),(476,1),(478,1),(518,1),(519,1)}
       501:{1,3,5,6}:{(476,1),(477,1),(479,1),(515,1),(519,1),(520,1),(539,1),(543,1)}
       502:{1,4,7}:{(478,1),(479,1),(519,1)}
       503:{1,2,5,7}:{(479,1),(480,1),(485,1),(520,1),(521,1)}
       504:{2,3,4,5}:{(481,1),(482,1),(486,1),(518,1),(522,1),(544,1)}
       505:{1,3,4,6}:{(482,1),(483,1),(484,1),(487,1),(519,1),(522,1),(523,1),(526,1),(543,1)}
       506:{2,5,6}:{(483,1),(485,1),(523,1)}
       507:{2,4,7}:{(484,1),(485,1),(523,1),(524,1)}
       508:{1,4,5}:{(486,1),(487,1),(490,1)}
       509:{1,2,4,6}:{(487,1),(488,1),(489,1),(523,1),(525,1),(526,1)}
       510:{1,3,7}:{(489,1),(524,1),(526,1)}
       511:{1,2,5}:{(490,1),(491,1)}
       512:{1,2,3,6}:{(491,1),(492,1),(526,1),(527,1)}
       513:{1,3,5}:{(493,1),(494,1),(528,1)}
       514:{2,3,4,6}:{(494,1),(495,1),(497,1),(500,1),(528,1),(529,1),(536,1),(549,1)}
       515:{1,3,6}:{(495,1),(496,1),(498,1),(530,1)}
       516:{1,3,4,7}:{(497,1),(498,1),(502,1),(529,1),(531,1),(534,1)}
       517:{1,2,5,7}:{(498,1),(530,1),(531,1),(546,1)}
       518:{2,4,5}:{(499,1),(500,1),(528,1),(532,1)}
       519:{1,4,6}:{(500,1),(501,1),(502,1),(532,1)}
       520:{1,2,5,6}:{(501,1),(503,1),(506,1),(530,1),(533,1),(546,1)}
       521:{1,2,4,7}:{(502,1),(503,1),(507,1),(533,1),(534,1)}
       522:{1,3,4,5}:{(504,1),(505,1),(508,1),(532,1),(535,1),(537,1),(548,1)}
       523:{2,4,6}:{(505,1),(506,1),(507,1),(535,1),(536,1)}
       524:{2,3,7}:{(507,1),(510,1),(534,1),(536,1)}
       525:{1,2,4,5}:{(508,1),(509,1),(511,1),(535,1),(537,1),(538,1)}
       526:{1,3,6}:{(509,1),(510,1),(536,1),(537,1)}
       527:{1,2,3,5}:{(511,1),(512,1),(537,1),(538,1)}
       528:{2,3,5}:{(513,1),(514,1),(518,1),(539,1)}
       529:{1,3,4,6}:{(514,1),(515,1),(516,1),(519,1),(539,1),(540,1),(543,1),(551,1)}
       530:{1,2,6}:{(515,1),(517,1)}
       531:{1,2,4,7}:{(516,1),(517,1),(540,1),(541,1)}
       532:{1,4,5}:{(518,1),(519,1),(539,1)}
       533:{1,2,4,6}:{(519,1),(520,1),(521,1),(523,1),(542,1),(543,1)}
       534:{1,3,7}:{(521,1),(524,1),(543,1)}
       535:{2,4,5}:{(522,1),(523,1),(544,1)}
       536:{2,3,6}:{(523,1),(524,1),(526,1),(543,1),(544,1)}
       537:{1,3,5}:{(525,1),(526,1),(544,1),(545,1)}
       538:{1,2,4}:{(527,1),(545,1)}
       539:{1,3,5}:{(528,1),(529,1),(532,1),(546,1)}
       540:{1,2,4,6}:{(529,1),(530,1),(531,1),(546,1),(547,1),(552,1)}
       541:{1,2,3,7}:{(531,1),(534,1),(547,1)}
       542:{1,2,4,5}:{(532,1),(533,1),(535,1),(546,1),(548,1),(552,1)}
       543:{1,3,6}:{(533,1),(534,1),(536,1),(548,1)}
       544:{2,3,5}:{(535,1),(536,1),(537,1),(548,1),(549,1)}
       545:{1,3,4}:{(537,1),(538,1),(549,1)}
       546:{1,2,5}:{(539,1),(540,1)}
       547:{1,2,3,6}:{(540,1),(541,1),(543,1),(550,1)}
       548:{1,3,5}:{(542,1),(543,1),(544,1),(551,1)}
       549:{2,3,4}:{(544,1),(545,1),(551,1)}
       550:{1,2,3,5}:{(546,1),(547,1),(548,1),(552,1)}
       551:{1,3,4}:{(548,1),(549,1),(552,1)}
       552:{1,2,4}:{(550,1),(551,1)}

2157 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(25,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(20,1),(25,1),(51,1),(57,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(22,1),(51,1),(57,1),(82,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(44,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(36,1),(67,1),(73,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(44,1),(76,1)}
         9:{1,2,4,6,7}:{(6,1),(19,1),(20,1),(21,1),(51,1)}
        10:{1,3,4,6,7}:{(8,1),(19,1),(21,1),(22,1),(48,1),(51,1),(79,1),(82,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(23,1),(24,1),(51,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(25,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(23,1),(26,1),(27,1),(56,1)}
        14:{1,3,6}:{(5,1),(6,1),(27,1)}
        15:{1,2,5,6}:{(6,1),(20,1),(25,1),(28,1),(30,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(26,1),(29,1),(52,1),(81,1),(86,1)}
        17:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(22,1),(30,1),(31,1),(62,1)}
        19:{1,3,6,7}:{(9,1),(14,1),(33,1),(34,1),(110,1)}
        20:{1,2,5,7}:{(9,1),(15,1),(34,1),(36,1),(121,1)}
        21:{2,4,6,7}:{(10,1),(17,1),(33,1),(35,1),(36,1),(67,1)}
        22:{1,3,5,7}:{(10,1),(18,1),(36,1),(37,1),(69,1)}
        23:{2,3,4,7}:{(11,1),(13,1),(38,1),(39,1),(67,1),(111,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(44,1),(116,1),(122,1)}
        25:{1,2,5}:{(12,1),(40,1)}
        26:{1,3,5,7}:{(13,1),(16,1),(38,1),(41,1),(42,1),(72,1)}
        27:{2,3,6}:{(13,1),(14,1),(17,1),(42,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(34,1),(40,1),(43,1),(44,1),(100,1),(116,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(36,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(37,1),(44,1),(46,1),(100,1)}
        32:{1,3,5,6,7}:{(22,1),(47,1),(48,1),(79,1)}
        33:{2,3,6,7}:{(19,1),(21,1),(27,1),(49,1),(50,1),(79,1),(101,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(28,1),(50,1),(51,1),(104,1),(117,1)}
        35:{1,4,6,7}:{(21,1),(29,1),(49,1),(52,1),(81,1)}
        36:{2,5,7}:{(21,1),(22,1),(30,1),(52,1)}
        37:{1,4,5,7}:{(22,1),(31,1),(48,1),(51,1),(53,1),(104,1)}
        38:{1,3,4,7}:{(23,1),(26,1),(54,1),(55,1),(81,1),(102,1)}
        39:{2,3,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(60,1),(108,1),(118,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(57,1)}
        41:{1,2,5,7}:{(26,1),(54,1),(58,1),(85,1)}
        42:{1,3,6}:{(26,1),(27,1),(29,1),(58,1)}
        43:{2,3,5,6}:{(27,1),(28,1),(30,1),(50,1),(56,1),(59,1),(60,1),(62,1),(90,1),(108,1)}
        44:{1,4,6}:{(28,1),(51,1),(57,1),(60,1)}
        45:{1,5,6}:{(29,1),(30,1),(52,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(53,1),(60,1),(61,1),(62,1),(90,1)}
        47:{2,5,6,7}:{(32,1),(36,1),(63,1),(64,1)}
        48:{1,4,6,7}:{(32,1),(37,1),(64,1),(110,1)}
        49:{1,3,6,7}:{(33,1),(35,1),(42,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(33,1),(34,1),(36,1),(43,1),(66,1),(67,1),(69,1),(94,1),(111,1)}
        51:{1,4,7}:{(34,1),(44,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(45,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(46,1),(64,1),(67,1),(68,1),(69,1),(94,1)}
        54:{1,2,4,7}:{(38,1),(41,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(38,1),(39,1),(42,1),(71,1),(72,1),(75,1),(98,1),(113,1)}
        56:{2,3,5}:{(39,1),(40,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(45,1),(66,1),(72,1),(74,1),(75,1),(98,1)}
        60:{2,4,6}:{(43,1),(44,1),(67,1),(73,1),(75,1),(76,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(68,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(69,1),(76,1)}
        63:{1,5,6,7}:{(47,1),(52,1),(78,1)}
        64:{2,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(101,1)}
        65:{1,2,6,7}:{(49,1),(58,1),(80,1),(101,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(52,1),(59,1),(80,1),(81,1),(102,1)}
        67:{2,4,7}:{(50,1),(51,1),(60,1),(81,1),(82,1)}
        68:{1,4,5,7}:{(52,1),(53,1),(61,1),(78,1),(81,1),(83,1)}
        69:{3,5,7}:{(53,1),(62,1),(79,1),(82,1)}
        70:{1,2,3,7}:{(54,1),(84,1),(102,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(58,1),(84,1),(85,1),(105,1)}
        72:{1,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,4,5}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(80,1),(85,1),(88,1),(90,1)}
        75:{1,4,6}:{(59,1),(60,1),(81,1),(86,1)}
        76:{3,4,6}:{(60,1),(62,1),(82,1),(87,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(83,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(63,1),(64,1),(68,1),(91,1)}
        79:{3,6,7}:{(64,1),(69,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(74,1),(92,1),(94,1)}
        81:{1,4,7}:{(66,1),(67,1),(75,1)}
        82:{3,4,7}:{(67,1),(69,1),(76,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,2,3,6}:{(70,1),(71,1),(95,1),(98,1)}
        85:{1,2,5}:{(71,1),(72,1)}
        86:{1,4,5}:{(72,1),(73,1),(75,1)}
        87:{3,4,5}:{(73,1),(76,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(92,1),(96,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(77,1),(93,1),(97,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(94,1),(99,1),(100,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(83,1),(101,1)}
        92:{1,2,4,7}:{(80,1),(81,1),(88,1),(102,1),(103,1)}
        93:{1,3,4,7}:{(81,1),(82,1),(83,1),(89,1),(102,1),(103,1)}
        94:{2,5,7}:{(83,1),(90,1),(101,1),(103,1),(104,1)}
        95:{1,2,3,5}:{(84,1),(85,1),(105,1),(106,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(88,1),(105,1),(106,1),(107,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1)}
        98:{1,3,6}:{(88,1),(102,1),(106,1),(108,1)}
        99:{2,4,6}:{(89,1),(90,1),(103,1),(107,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(104,1),(109,1)}
       101:{2,6,7}:{(91,1),(94,1),(110,1)}
       102:{1,3,7}:{(92,1),(98,1),(111,1)}
       103:{2,4,7}:{(93,1),(94,1),(99,1),(111,1),(112,1)}
       104:{1,5,7}:{(94,1),(100,1),(110,1),(112,1)}
       105:{1,2,4}:{(95,1),(113,1)}
       106:{1,3,5}:{(96,1),(98,1),(113,1),(114,1)}
       107:{2,4,5}:{(97,1),(99,1),(114,1),(115,1)}
       108:{2,3,6}:{(98,1),(99,1),(111,1),(114,1),(116,1)}
       109:{1,4,6}:{(99,1),(100,1),(112,1),(115,1),(116,1)}
       110:{1,6,7}:{(101,1),(104,1)}
       111:{2,3,7}:{(102,1),(103,1),(108,1),(117,1)}
       112:{1,4,7}:{(103,1),(104,1),(109,1),(117,1)}
       113:{1,3,4}:{(105,1),(106,1),(118,1)}
       114:{2,3,5}:{(106,1),(107,1),(108,1),(118,1),(119,1)}
       115:{1,4,5}:{(107,1),(109,1),(119,1)}
       116:{1,3,6}:{(108,1),(109,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2158 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(18,1),(26,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(39,1),(140,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(29,1),(39,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(26,1),(40,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(21,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1),(23,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(54,1),(131,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(23,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(24,1),(26,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(25,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(15,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(33,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(28,1),(33,1),(35,1)}
        22:{2,3,4,5,7}:{(12,1),(14,1),(34,1),(35,1),(36,1),(70,1),(121,1),(138,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(29,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(16,1),(36,1),(38,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(37,1),(39,1),(149,1),(150,1)}
        26:{1,2,5,6}:{(16,1),(38,1),(39,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(55,1),(88,1)}
        28:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(23,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(46,1)}
        32:{1,2,4,5}:{(20,1),(46,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(42,1),(48,1),(50,1)}
        34:{1,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(51,1),(85,1),(110,1),(129,1)}
        35:{2,3,4,7}:{(21,1),(23,1),(43,1),(50,1)}
        36:{2,3,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(25,1),(44,1),(52,1),(54,1),(79,1),(144,1),(145,1)}
        38:{1,3,5,6}:{(24,1),(26,1),(53,1),(54,1),(55,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(54,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(33,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(35,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(149,1)}
        46:{1,2,3,5}:{(31,1),(32,1),(63,1)}
        47:{1,2,3,4,7}:{(31,1),(64,1),(65,1),(119,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(59,1),(63,1),(66,1)}
        49:{1,2,4,5,7}:{(32,1),(34,1),(64,1),(66,1),(67,1),(97,1),(98,1),(119,1)}
        50:{1,3,4,7}:{(33,1),(35,1),(60,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(36,1),(67,1),(69,1)}
        52:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(61,1),(68,1),(70,1),(94,1),(136,1),(138,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(70,1),(72,1)}
        55:{1,4,5,6}:{(38,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(48,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(50,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(54,1),(78,1),(79,1),(143,1),(144,1)}
        63:{1,2,3,6}:{(46,1),(48,1),(80,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,4,6}:{(47,1),(81,1),(82,1),(109,1)}
        66:{1,2,4,7}:{(48,1),(50,1),(76,1),(80,1)}
        67:{1,2,4,6}:{(49,1),(51,1),(81,1),(84,1)}
        68:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(85,1),(106,1),(127,1),(129,1)}
        69:{1,3,5,6}:{(51,1),(53,1),(84,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(52,1),(53,1),(54,1),(85,1),(87,1)}
        71:{2,4,5,6}:{(53,1),(55,1),(86,1),(87,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(87,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(66,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(70,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,7}:{(63,1),(66,1)}
        81:{1,2,3,6}:{(64,1),(67,1)}
        82:{1,2,3,5}:{(65,1),(97,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(92,1),(95,1),(98,1),(119,1)}
        84:{1,2,5,6}:{(67,1),(69,1),(98,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1)}
        86:{1,4,5,6}:{(69,1),(71,1),(100,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(100,1),(102,1)}
        88:{3,4,5,6}:{(71,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(143,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(85,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(87,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(80,1),(81,1),(83,1),(108,1),(127,1)}
        96:{1,2,3,5,6}:{(81,1),(82,1),(84,1),(108,1),(109,1),(112,1)}
        97:{1,2,4,5}:{(82,1),(109,1),(110,1)}
        98:{1,2,5,7}:{(83,1),(84,1),(85,1)}
        99:{1,2,4,5,6}:{(84,1),(86,1),(109,1),(111,1),(112,1),(114,1)}
       100:{1,4,5,7}:{(85,1),(86,1),(87,1),(106,1)}
       101:{1,3,4,5,6}:{(86,1),(88,1),(112,1),(113,1),(114,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(98,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(100,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(119,1),(122,1)}
       109:{1,2,4,6}:{(96,1),(97,1),(119,1),(120,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(117,1),(119,1),(122,1),(124,1)}
       112:{1,3,5,6}:{(99,1),(120,1),(122,1),(123,1)}
       113:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(122,1),(124,1)}
       114:{2,4,5,6}:{(101,1),(123,1),(124,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(111,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(113,1),(126,1),(127,1),(128,1)}
       119:{1,2,4,7}:{(108,1),(109,1),(129,1)}
       120:{1,3,4,6}:{(109,1),(110,1),(112,1),(129,1),(130,1)}
       121:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       122:{1,3,5,7}:{(111,1),(112,1),(127,1),(129,1),(132,1)}
       123:{2,3,5,6}:{(112,1),(114,1),(130,1),(132,1),(133,1)}
       124:{2,4,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(114,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(122,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(124,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,7}:{(119,1),(120,1),(122,1),(138,1)}
       130:{2,3,4,6}:{(120,1),(121,1),(123,1),(138,1),(139,1)}
       131:{1,3,4,5}:{(121,1),(139,1),(140,1)}
       132:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(138,1),(141,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(139,1),(141,1),(142,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(141,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(143,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,4,6}:{(130,1),(131,1),(133,1),(145,1),(146,1)}
       140:{1,2,4,5}:{(131,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(134,1),(144,1),(145,1),(148,1)}
       142:{1,2,5,6}:{(133,1),(146,1),(148,1)}
       143:{1,5,6,7}:{(135,1),(137,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1),(149,1)}
       145:{1,3,4,7}:{(138,1),(139,1),(141,1),(150,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(141,1),(142,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2159 :   0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(146,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(136,1),(151,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(25,1),(27,1),(122,1),(144,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(18,1),(36,1),(41,1),(105,1),(134,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,3,6,7}:{(4,1),(14,1),(16,1),(74,1),(151,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(40,1)}
        10:{1,2,4,5}:{(5,1),(17,1),(18,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(82,1),(99,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(29,1),(50,1),(58,1),(84,1),(120,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(144,1),(153,1)}
        15:{1,2,5,6}:{(7,1),(24,1),(25,1)}
        16:{1,2,3,5,7}:{(8,1),(9,1),(25,1),(27,1),(56,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
        18:{1,3,4,5}:{(10,1),(28,1),(29,1)}
        19:{1,2,3,5,7}:{(11,1),(30,1),(31,1),(32,1),(79,1),(116,1)}
        20:{1,2,3,4,6}:{(11,1),(31,1),(32,1),(64,1)}
        21:{1,3,4,5,7}:{(12,1),(30,1),(33,1),(43,1),(65,1),(66,1),(77,1),(103,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(33,1),(35,1)}
        23:{1,3,4,6,7}:{(13,1),(14,1),(34,1),(36,1),(41,1),(71,1),(74,1),(134,1),(149,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(35,1),(36,1),(37,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(36,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(37,1),(39,1),(40,1),(73,1)}
        27:{1,2,4,7}:{(16,1),(17,1),(41,1)}
        28:{1,3,4,6}:{(17,1),(18,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,5}:{(18,1),(42,1),(43,1)}
        30:{1,2,4,5,7}:{(19,1),(21,1),(44,1),(47,1),(60,1),(80,1),(82,1),(97,1)}
        31:{1,2,3,6}:{(19,1),(44,1)}
        32:{1,2,3,5}:{(20,1),(47,1)}
        33:{1,3,4,6}:{(21,1),(22,1),(44,1),(49,1)}
        34:{2,3,4,6,7}:{(22,1),(23,1),(48,1),(50,1),(58,1),(88,1),(94,1),(120,1),(141,1)}
        35:{2,3,5,6}:{(22,1),(24,1),(49,1),(50,1),(51,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(50,1),(53,1)}
        37:{1,4,5,6}:{(24,1),(51,1),(53,1)}
        38:{1,2,5,6,7}:{(25,1),(52,1),(55,1),(128,1),(153,1)}
        39:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(55,1),(56,1),(92,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(56,1),(58,1)}
        42:{2,3,4,6}:{(28,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,3,4,5}:{(29,1),(59,1),(60,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(33,1),(62,1)}
        45:{1,2,3,6,7}:{(31,1),(61,1),(63,1),(116,1),(131,1)}
        46:{1,2,3,5,6}:{(31,1),(32,1),(62,1),(63,1),(64,1),(102,1)}
        47:{1,2,4,5}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(77,1),(103,1),(106,1),(114,1),(131,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(62,1),(66,1),(67,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(36,1),(66,1),(69,1)}
        51:{2,4,5,6}:{(35,1),(37,1),(67,1),(69,1),(70,1)}
        52:{1,3,5,6,7}:{(36,1),(38,1),(68,1),(71,1),(74,1),(149,1),(152,1)}
        53:{1,4,5,7}:{(36,1),(37,1),(69,1),(71,1)}
        54:{1,3,4,5,6}:{(37,1),(40,1),(70,1),(72,1),(73,1)}
        55:{1,2,4,6,7}:{(38,1),(39,1),(71,1),(74,1),(112,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(74,1),(75,1)}
        57:{2,3,5,6}:{(40,1),(42,1),(73,1),(75,1),(76,1)}
        58:{2,3,4,7}:{(41,1),(42,1),(75,1),(77,1)}
        59:{1,3,4,6}:{(42,1),(43,1),(76,1),(77,1),(78,1)}
        60:{1,2,4,5}:{(43,1),(78,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(80,1),(82,1),(97,1),(130,1)}
        62:{1,2,5,6}:{(44,1),(49,1),(80,1)}
        63:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(82,1),(118,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(82,1),(83,1)}
        65:{1,3,4,5}:{(47,1),(83,1),(84,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(80,1),(86,1)}
        67:{1,4,5,6}:{(49,1),(51,1),(86,1)}
        68:{2,3,5,6,7}:{(50,1),(52,1),(85,1),(88,1),(94,1),(127,1),(128,1),(141,1),(147,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(53,1),(86,1),(88,1),(89,1)}
        70:{3,4,5,6}:{(51,1),(89,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(88,1)}
        72:{1,3,4,5,7}:{(53,1),(54,1),(56,1),(89,1),(91,1),(92,1)}
        73:{2,4,5,6}:{(54,1),(57,1),(92,1),(93,1)}
        74:{1,3,6,7}:{(55,1),(56,1),(94,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(58,1),(92,1),(94,1),(95,1)}
        76:{1,3,5,6}:{(57,1),(59,1),(93,1),(95,1),(96,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(95,1),(97,1)}
        78:{1,2,4,6}:{(59,1),(60,1),(96,1),(97,1),(98,1)}
        79:{1,2,3,5}:{(60,1),(98,1),(99,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(66,1)}
        81:{1,2,4,5,6}:{(62,1),(64,1),(67,1),(101,1),(102,1),(108,1)}
        82:{1,2,4,7}:{(63,1),(64,1),(103,1)}
        83:{1,3,4,6}:{(64,1),(65,1),(102,1),(103,1),(104,1)}
        84:{2,3,4,5}:{(65,1),(104,1),(105,1)}
        85:{1,3,5,6,7}:{(66,1),(68,1),(100,1),(106,1),(114,1),(131,1),(140,1)}
        86:{1,4,5,7}:{(66,1),(67,1),(69,1),(106,1)}
        87:{1,3,4,5,6}:{(67,1),(70,1),(102,1),(107,1),(108,1)}
        88:{2,4,6,7}:{(68,1),(69,1),(71,1),(106,1),(110,1)}
        89:{3,4,5,7}:{(69,1),(70,1),(110,1)}
        90:{1,4,5,6,7}:{(71,1),(109,1),(111,1),(152,1)}
        91:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(110,1),(111,1),(112,1)}
        92:{2,4,5,7}:{(72,1),(73,1),(75,1),(112,1),(113,1)}
        93:{1,4,5,6}:{(73,1),(76,1),(113,1)}
        94:{2,3,6,7}:{(74,1),(75,1),(112,1),(114,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(77,1),(113,1),(114,1),(115,1)}
        96:{1,2,5,6}:{(76,1),(78,1),(115,1)}
        97:{1,2,4,7}:{(77,1),(78,1),(115,1),(116,1)}
        98:{1,2,3,6}:{(78,1),(79,1),(116,1)}
        99:{1,2,3,4}:{(79,1)}
       100:{1,2,5,6,7}:{(80,1),(85,1),(117,1),(130,1),(147,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(86,1),(117,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(118,1),(119,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(118,1),(120,1)}
       104:{2,3,4,6}:{(83,1),(84,1),(119,1),(120,1),(121,1)}
       105:{1,3,4,5}:{(84,1),(121,1),(122,1)}
       106:{1,4,6,7}:{(85,1),(86,1),(88,1)}
       107:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(118,1),(124,1),(125,1)}
       108:{2,4,5,6}:{(87,1),(119,1),(125,1),(126,1)}
       109:{2,4,5,6,7}:{(88,1),(90,1),(123,1),(127,1),(128,1),(147,1)}
       110:{3,4,6,7}:{(88,1),(89,1),(127,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(127,1),(128,1)}
       112:{2,4,6,7}:{(91,1),(92,1),(94,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(92,1),(93,1),(95,1),(129,1)}
       114:{1,3,6,7}:{(94,1),(95,1),(129,1),(130,1)}
       115:{1,2,5,7}:{(95,1),(96,1),(97,1),(130,1)}
       116:{1,2,3,7}:{(97,1),(98,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(106,1),(131,1),(138,1)}
       118:{1,3,5,7}:{(101,1),(102,1),(103,1),(131,1),(132,1)}
       119:{2,3,5,6}:{(102,1),(104,1),(108,1),(132,1),(133,1)}
       120:{2,3,4,7}:{(103,1),(104,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(104,1),(105,1),(133,1),(134,1),(135,1)}
       122:{1,2,4,5}:{(105,1),(135,1),(136,1)}
       123:{1,4,5,6,7}:{(106,1),(109,1),(137,1),(140,1)}
       124:{1,3,4,6,7}:{(106,1),(107,1),(110,1),(131,1),(137,1),(138,1)}
       125:{2,4,5,7}:{(107,1),(108,1),(132,1),(138,1),(139,1)}
       126:{1,4,5,6}:{(108,1),(133,1),(139,1)}
       127:{3,5,6,7}:{(109,1),(110,1)}
       128:{2,5,6,7}:{(111,1),(112,1),(140,1)}
       129:{1,4,6,7}:{(112,1),(113,1),(114,1),(140,1)}
       130:{1,2,6,7}:{(114,1),(115,1)}
       131:{1,3,6,7}:{(117,1),(118,1),(141,1)}
       132:{2,3,5,7}:{(118,1),(119,1),(120,1),(125,1),(141,1),(142,1)}
       133:{1,3,5,6}:{(119,1),(121,1),(126,1),(142,1),(143,1)}
       134:{1,3,4,7}:{(120,1),(121,1),(142,1),(144,1)}
       135:{1,2,4,6}:{(121,1),(122,1),(143,1),(144,1),(145,1)}
       136:{1,2,3,5}:{(122,1),(145,1),(146,1)}
       137:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(147,1)}
       138:{2,4,6,7}:{(124,1),(125,1),(141,1),(147,1),(148,1)}
       139:{1,4,5,7}:{(125,1),(126,1),(142,1),(148,1)}
       140:{1,5,6,7}:{(128,1),(129,1)}
       141:{2,3,6,7}:{(131,1),(132,1),(138,1),(149,1)}
       142:{1,3,5,7}:{(132,1),(133,1),(134,1),(139,1),(149,1),(150,1)}
       143:{1,2,5,6}:{(133,1),(135,1),(150,1)}
       144:{1,2,4,7}:{(134,1),(135,1),(150,1),(151,1)}
       145:{1,2,3,6}:{(135,1),(136,1),(151,1)}
       146:{1,2,3,4}:{(136,1)}
       147:{2,5,6,7}:{(137,1),(138,1),(152,1)}
       148:{1,4,6,7}:{(138,1),(139,1),(149,1),(152,1)}
       149:{1,3,6,7}:{(141,1),(142,1),(148,1),(153,1)}
       150:{1,2,5,7}:{(142,1),(143,1),(144,1),(153,1)}
       151:{1,2,3,7}:{(144,1),(145,1)}
       152:{1,5,6,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(149,1),(150,1)}

2160 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2161 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(121,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(68,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(68,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(113,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(67,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(82,1),(118,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(51,1),(103,1),(119,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(51,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(49,1),(54,1),(82,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(51,1),(83,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(110,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(93,1),(110,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(66,1),(92,1),(111,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(68,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(64,1),(69,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(58,1),(68,1),(88,1),(96,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(72,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(43,1),(44,1),(101,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(42,1),(45,1),(46,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(43,1),(45,1),(46,1),(78,1),(80,1),(101,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(45,1)}
        31:{2,3,5}:{(17,1),(19,1),(46,1),(49,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(117,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(108,1),(119,1)}
        34:{1,4,5}:{(19,1),(49,1),(51,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(53,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(47,1),(52,1),(54,1),(82,1)}
        38:{2,5,6}:{(23,1),(25,1),(53,1),(54,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(51,1),(55,1),(56,1),(108,1)}
        41:{1,3,5,6,7}:{(39,1),(57,1),(58,1),(88,1)}
        42:{1,2,5,7}:{(26,1),(28,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(59,1),(60,1),(61,1)}
        44:{1,2,3,5}:{(27,1),(60,1),(61,1),(91,1)}
        45:{1,3,6}:{(28,1),(30,1),(36,1),(59,1)}
        46:{1,3,5}:{(29,1),(31,1),(60,1),(64,1)}
        47:{2,3,6,7}:{(30,1),(32,1),(37,1),(62,1),(65,1),(88,1),(109,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(63,1),(65,1),(66,1),(72,1),(98,1),(111,1)}
        49:{2,4,5}:{(31,1),(34,1),(64,1),(66,1),(67,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(35,1),(65,1),(68,1),(116,1),(123,1)}
        51:{1,4,6}:{(33,1),(34,1),(66,1),(68,1)}
        52:{1,4,6,7}:{(36,1),(37,1),(62,1),(69,1),(93,1)}
        53:{1,5,6}:{(36,1),(38,1),(69,1)}
        54:{2,5,7}:{(37,1),(38,1),(39,1),(69,1)}
        55:{2,4,5,6}:{(38,1),(40,1),(66,1),(70,1),(71,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(71,1),(116,1)}
        57:{2,5,6,7}:{(41,1),(54,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(117,1)}
        59:{1,2,6}:{(42,1),(45,1)}
        60:{1,2,5}:{(43,1),(46,1)}
        61:{1,2,4}:{(44,1),(78,1)}
        62:{1,3,6,7}:{(45,1),(47,1),(52,1),(75,1),(79,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(53,1),(76,1),(79,1),(80,1),(101,1)}
        64:{1,4,5}:{(46,1),(49,1),(80,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(54,1),(79,1),(82,1),(86,1),(107,1),(118,1)}
        66:{2,4,6}:{(48,1),(49,1),(51,1),(80,1),(82,1),(83,1)}
        67:{3,4,5}:{(49,1),(83,1)}
        68:{1,4,7}:{(50,1),(51,1),(82,1)}
        69:{1,5,7}:{(52,1),(53,1),(54,1)}
        70:{1,4,5,6}:{(53,1),(55,1),(80,1),(84,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(82,1),(84,1),(86,1),(107,1)}
        72:{3,5,6}:{(55,1),(83,1),(86,1)}
        73:{1,5,6,7}:{(57,1),(69,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(71,1),(87,1),(88,1),(109,1)}
        75:{1,2,6,7}:{(59,1),(62,1),(89,1),(109,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(89,1),(90,1),(98,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(64,1),(90,1),(91,1),(95,1)}
        78:{1,3,4}:{(61,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(89,1),(93,1),(110,1)}
        80:{1,4,6}:{(63,1),(64,1),(66,1),(93,1)}
        81:{1,3,4,5}:{(64,1),(67,1),(91,1),(94,1),(95,1)}
        82:{2,4,7}:{(65,1),(66,1),(68,1),(93,1),(96,1)}
        83:{3,4,6}:{(66,1),(67,1),(72,1),(96,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(97,1)}
        85:{1,3,5,6}:{(70,1),(72,1),(94,1),(97,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(84,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{1,2,5,7}:{(75,1),(76,1),(79,1),(100,1),(107,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(100,1),(101,1),(105,1)}
        91:{1,3,5}:{(77,1),(78,1),(101,1),(102,1)}
        92:{2,3,4}:{(78,1),(102,1),(103,1)}
        93:{1,4,7}:{(79,1),(80,1),(82,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(85,1),(101,1),(104,1),(105,1)}
        95:{2,4,5}:{(81,1),(102,1),(105,1),(106,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(104,1),(107,1)}
        98:{2,5,6}:{(85,1),(105,1),(107,1),(108,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(97,1),(109,1)}
       100:{1,2,4,7}:{(89,1),(90,1),(93,1),(110,1),(114,1)}
       101:{1,3,6}:{(90,1),(91,1),(110,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(95,1),(111,1),(112,1)}
       103:{1,3,4}:{(92,1),(112,1),(113,1)}
       104:{1,3,4,7}:{(93,1),(94,1),(96,1),(97,1),(110,1),(114,1)}
       105:{2,4,6}:{(94,1),(95,1),(98,1),(111,1),(114,1),(115,1)}
       106:{1,4,5}:{(95,1),(112,1),(115,1)}
       107:{2,5,7}:{(97,1),(98,1),(109,1),(114,1),(116,1)}
       108:{1,5,6}:{(98,1),(115,1),(116,1)}
       109:{2,6,7}:{(99,1),(107,1),(117,1)}
       110:{1,3,7}:{(100,1),(101,1),(118,1)}
       111:{2,3,6}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,3,5}:{(102,1),(103,1),(106,1),(119,1),(120,1)}
       113:{1,2,4}:{(103,1),(120,1),(121,1)}
       114:{2,4,7}:{(104,1),(105,1),(107,1),(118,1),(122,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(119,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(117,1),(122,1)}
       117:{1,6,7}:{(109,1),(116,1)}
       118:{2,3,7}:{(110,1),(111,1),(114,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(115,1),(123,1),(124,1)}
       120:{1,2,5}:{(112,1),(113,1),(124,1)}
       121:{1,2,3}:{(113,1)}
       122:{1,4,7}:{(114,1),(115,1),(116,1),(123,1)}
       123:{1,3,7}:{(118,1),(119,1),(122,1),(125,1)}
       124:{1,2,6}:{(119,1),(120,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2162 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2163 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(40,1),(43,1),(76,1),(83,1),(89,1),(90,1),(141,1),(181,1),(189,1),(220,1),(221,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(108,1),(118,1),(162,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(64,1),(66,1),(104,1),(112,1),(162,1),(170,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(57,1),(105,1),(111,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(44,1),(79,1),(133,1),(140,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(226,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(45,1),(90,1),(141,1),(189,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(192,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(35,1),(81,1),(83,1),(88,1),(89,1),(141,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(70,1),(102,1),(122,1),(156,1),(167,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(28,1),(54,1),(58,1),(66,1),(102,1),(110,1),(167,1),(171,1),(209,1)}
        11:{1,3,4,5}:{(5,1),(23,1),(57,1),(121,1),(233,1),(236,1)}
        12:{1,4,6,7}:{(4,1),(20,1),(24,1),(166,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(26,1),(206,1),(212,1)}
        14:{2,4,6}:{(5,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(28,1),(111,1),(209,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(66,1),(112,1),(117,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(57,1),(69,1),(111,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(48,1),(74,1),(93,1),(140,1),(150,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(189,1),(218,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(32,1),(36,1),(37,1),(139,1),(189,1),(193,1)}
        21:{2,3,4,6}:{(14,1),(35,1),(38,1),(39,1),(81,1),(88,1),(143,1),(191,1),(226,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(41,1),(42,1),(44,1),(82,1),(84,1),(144,1),(149,1),(192,1),(195,1)}
        23:{2,4,5}:{(11,1),(14,1),(35,1),(43,1),(83,1),(143,1)}
        24:{1,4,5,7}:{(12,1),(36,1),(40,1),(44,1),(133,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(37,1),(41,1),(44,1),(45,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,4,6}:{(14,1),(17,1),(43,1),(46,1)}
        28:{2,3,6,7}:{(15,1),(16,1),(45,1),(48,1),(81,1),(141,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(46,1),(48,1),(49,1),(93,1),(95,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(83,1),(141,1)}
        31:{1,2,4,5,6}:{(33,1),(50,1),(73,1),(97,1),(129,1),(147,1),(152,1),(180,1),(189,1),(194,1),(196,1),(198,1),(218,1),(227,1),(244,1)}
        32:{1,4,6,7}:{(18,1),(20,1),(51,1),(166,1),(174,1)}
        33:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(53,1),(102,1),(106,1),(122,1),(161,1),(170,1),(174,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(209,1)}
        35:{2,3,5}:{(21,1),(23,1),(57,1),(211,1),(236,1)}
        36:{2,4,5,7}:{(20,1),(24,1),(51,1),(55,1),(58,1),(66,1),(102,1)}
        37:{3,4,6,7}:{(20,1),(58,1),(109,1),(209,1),(212,1)}
        38:{2,3,4,7}:{(21,1),(26,1),(56,1),(60,1),(117,1),(169,1),(212,1)}
        39:{1,3,4,6}:{(21,1),(27,1),(57,1),(60,1),(61,1),(69,1),(105,1),(111,1),(121,1),(159,1),(203,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(62,1),(156,1),(166,1),(213,1)}
        41:{1,3,4,6}:{(22,1),(62,1),(63,1),(109,1),(111,1),(166,1),(209,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(26,1),(56,1),(63,1),(64,1),(66,1),(112,1),(169,1),(211,1)}
        43:{1,4,5}:{(23,1),(27,1),(57,1),(159,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(58,1),(62,1),(66,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,4,6}:{(27,1),(30,1),(61,1),(65,1),(68,1),(69,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(67,1),(70,1),(111,1)}
        49:{1,2,5,7}:{(29,1),(30,1),(68,1),(70,1),(112,1)}
        50:{1,3,5,6}:{(31,1),(53,1),(71,1),(72,1),(175,1),(200,1),(209,1),(217,1),(236,1)}
        51:{1,4,5,7}:{(32,1),(36,1),(73,1),(74,1),(93,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(37,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(50,1),(77,1),(78,1),(192,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{2,4,5,6}:{(36,1),(40,1),(73,1),(80,1),(89,1),(129,1),(139,1),(189,1),(227,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(42,1),(81,1),(82,1),(192,1)}
        57:{1,3,5}:{(35,1),(39,1),(43,1),(83,1),(221,1)}
        58:{3,5,7}:{(36,1),(37,1),(80,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(45,1),(75,1),(81,1),(85,1),(86,1),(136,1),(139,1),(146,1),(179,1),(191,1),(193,1),(226,1),(239,1)}
        60:{1,3,4,7}:{(38,1),(39,1),(46,1),(82,1),(87,1),(95,1),(135,1),(183,1)}
        61:{2,4,6}:{(39,1),(83,1),(87,1),(88,1),(141,1),(143,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(80,1),(89,1),(195,1)}
        63:{2,4,6}:{(41,1),(42,1),(81,1),(89,1),(90,1),(141,1)}
        64:{1,4,5,7}:{(42,1),(43,1),(46,1),(82,1),(90,1),(93,1),(183,1),(221,1)}
        65:{1,2,4,5}:{(43,1),(47,1),(83,1),(92,1),(143,1)}
        66:{2,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{1,4,6,7}:{(45,1),(46,1),(48,1),(90,1),(93,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(87,1),(95,1)}
        69:{1,3,6}:{(47,1),(88,1),(92,1),(95,1)}
        70:{1,2,6,7}:{(48,1),(49,1),(141,1)}
        71:{1,3,4,6}:{(50,1),(77,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(78,1),(97,1),(98,1),(129,1),(151,1),(179,1),(196,1),(199,1),(218,1)}
        73:{1,4,5,6}:{(51,1),(55,1),(99,1),(118,1),(166,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(58,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(61,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(71,1),(106,1),(174,1),(212,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(72,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{3,5,6}:{(55,1),(58,1),(109,1),(209,1),(236,1)}
        81:{2,3,6}:{(56,1),(63,1),(111,1),(209,1)}
        82:{1,3,5,7}:{(56,1),(57,1),(60,1),(64,1),(111,1),(112,1)}
        83:{2,5}:{(57,1),(61,1)}
        84:{3,4,5,7}:{(58,1),(109,1),(114,1),(212,1),(236,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(66,1),(102,1),(110,1),(114,1),(115,1),(211,1),(236,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(60,1),(67,1),(103,1),(111,1),(115,1),(116,1),(123,1),(163,1),(164,1),(166,1),(173,1),(174,1),(200,1),(203,1),(206,1),(209,1),(212,1),(232,1),(242,1)}
        87:{2,4,7}:{(60,1),(61,1),(112,1),(117,1)}
        88:{2,3,6}:{(61,1),(69,1),(105,1),(113,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(211,1)}
        90:{1,4,6}:{(63,1),(64,1),(111,1),(118,1)}
        91:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(112,1),(119,1),(120,1),(122,1),(169,1),(170,1),(174,1),(211,1),(213,1)}
        92:{1,3,5}:{(65,1),(69,1),(113,1),(121,1)}
        93:{1,5,7}:{(66,1),(67,1),(118,1)}
        94:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(116,1),(119,1),(122,1),(123,1),(174,1),(207,1),(230,1),(242,1)}
        95:{1,3,7}:{(68,1),(69,1),(117,1)}
        96:{1,3,4,5}:{(71,1),(124,1),(175,1),(213,1),(216,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(106,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(107,1),(126,1),(127,1),(156,1),(175,1),(178,1),(200,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(80,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(83,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(84,1),(96,1),(128,1),(132,1),(144,1),(184,1),(192,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(87,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(88,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(97,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(98,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{3,4,6}:{(80,1),(84,1),(139,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(85,1),(89,1),(129,1),(139,1),(140,1),(179,1)}
       111:{1,3,6}:{(81,1),(82,1),(90,1),(141,1)}
       112:{2,5,7}:{(82,1),(83,1),(87,1),(141,1)}
       113:{2,3,5}:{(83,1),(88,1),(92,1),(131,1),(143,1)}
       114:{2,4,5,7}:{(84,1),(85,1),(139,1),(144,1),(193,1),(227,1)}
       115:{1,3,5,7}:{(85,1),(86,1),(93,1),(133,1),(140,1),(144,1),(145,1),(192,1),(195,1),(221,1),(240,1),(244,1)}
       116:{2,4,6,7}:{(86,1),(87,1),(141,1),(145,1),(146,1),(187,1),(189,1),(191,1),(193,1),(218,1),(239,1)}
       117:{2,3,7}:{(87,1),(88,1),(95,1),(135,1)}
       118:{1,5,6}:{(89,1),(90,1),(93,1),(221,1)}
       119:{1,2,4,6}:{(90,1),(91,1),(141,1),(147,1),(148,1),(189,1),(191,1),(194,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(95,1),(142,1),(148,1),(149,1),(192,1),(195,1)}
       121:{1,3,4}:{(92,1),(143,1)}
       122:{1,2,5,7}:{(93,1),(94,1),(145,1),(147,1),(150,1),(244,1)}
       123:{1,3,6,7}:{(94,1),(95,1),(146,1),(148,1),(150,1),(225,1),(238,1)}
       124:{2,4,5}:{(96,1),(97,1),(151,1),(152,1),(196,1),(229,1)}
       125:{2,3,4,6}:{(97,1),(136,1),(151,1),(153,1),(179,1),(199,1),(226,1),(229,1),(239,1)}
       126:{1,4,6}:{(97,1),(98,1),(137,1),(152,1)}
       127:{1,2,5,6}:{(98,1),(138,1),(154,1),(196,1),(218,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(109,1),(155,1),(166,1),(200,1),(209,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(112,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(113,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(124,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(116,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(117,1)}
       136:{2,3,4,7}:{(106,1),(125,1),(160,1),(164,1),(208,1),(212,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(126,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(127,1),(165,1),(204,1)}
       139:{2,4,6}:{(109,1),(110,1),(114,1),(166,1)}
       140:{1,3,5,6}:{(110,1),(111,1),(115,1),(118,1),(156,1),(166,1),(167,1),(200,1),(209,1)}
       141:{2,6}:{(111,1),(112,1)}
       142:{2,3,5,7}:{(112,1),(113,1),(117,1),(120,1),(158,1),(168,1),(169,1),(211,1)}
       143:{2,4}:{(113,1),(121,1),(159,1)}
       144:{1,4,5,7}:{(114,1),(115,1),(166,1),(170,1),(174,1),(206,1),(213,1),(233,1)}
       145:{2,5,7}:{(115,1),(116,1),(167,1),(211,1),(243,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(163,1),(168,1),(171,1),(208,1),(209,1),(231,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(122,1),(167,1),(172,1),(211,1),(230,1)}
       148:{1,3,6}:{(119,1),(120,1),(168,1),(209,1)}
       149:{1,3,4,7}:{(120,1),(121,1),(169,1),(173,1),(174,1),(212,1)}
       150:{1,3,5,7}:{(122,1),(123,1),(171,1),(172,1),(174,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,4,5}:{(124,1),(126,1),(175,1),(237,1)}
       153:{1,3,4,6}:{(125,1),(126,1),(164,1),(175,1),(177,1),(178,1),(200,1),(216,1),(217,1),(237,1),(242,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(165,1),(176,1),(177,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(141,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(142,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(143,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(151,1),(179,1),(184,1),(192,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(152,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(145,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(146,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(153,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(154,1),(187,1),(188,1)}
       166:{1,4,6}:{(139,1),(140,1),(144,1),(189,1)}
       167:{2,5,6}:{(140,1),(141,1),(145,1),(189,1),(218,1)}
       168:{2,3,6}:{(141,1),(142,1),(148,1),(182,1),(191,1)}
       169:{2,4,7}:{(142,1),(143,1),(149,1),(183,1),(191,1)}
       170:{2,4,5,7}:{(144,1),(145,1),(189,1),(192,1),(193,1),(227,1)}
       171:{2,3,5,7}:{(145,1),(146,1),(150,1),(186,1),(190,1),(192,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(150,1),(190,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,3,4,6}:{(148,1),(149,1),(191,1),(194,1),(195,1),(226,1)}
       174:{1,4,7}:{(150,1),(193,1),(194,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(196,1),(244,1)}
       176:{1,2,4,5}:{(152,1),(154,1),(196,1),(197,1),(229,1)}
       177:{2,4,6}:{(153,1),(187,1),(196,1),(199,1),(218,1),(229,1)}
       178:{1,3,6}:{(154,1),(188,1),(197,1),(199,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(209,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(167,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(168,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(169,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(175,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(170,1),(176,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(171,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(177,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(178,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(170,1),(209,1)}
       190:{2,3,5,6}:{(167,1),(168,1),(171,1),(172,1),(202,1),(209,1),(210,1),(211,1),(231,1),(236,1),(243,1)}
       191:{2,4,6}:{(168,1),(169,1),(173,1),(203,1),(211,1)}
       192:{3,5,7}:{(170,1),(209,1),(212,1),(236,1)}
       193:{2,4,7}:{(171,1),(174,1),(206,1),(210,1),(212,1)}
       194:{1,4,6}:{(172,1),(174,1),(210,1),(213,1)}
       195:{1,3,5}:{(173,1),(211,1),(213,1),(236,1)}
       196:{2,5}:{(175,1),(177,1)}
       197:{1,3,5}:{(176,1),(178,1),(215,1),(216,1)}
       198:{1,2,4,6}:{(177,1),(207,1),(214,1),(217,1),(230,1),(237,1),(242,1)}
       199:{2,3,6}:{(177,1),(178,1),(208,1),(215,1),(217,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(189,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(190,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(191,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(196,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(192,1),(197,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(193,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(198,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(199,1),(225,1)}
       209:{3,6}:{(189,1),(192,1)}
       210:{2,4,6}:{(190,1),(193,1),(194,1),(220,1),(226,1),(227,1)}
       211:{2,5}:{(191,1),(195,1),(221,1)}
       212:{3,4,7}:{(192,1),(193,1),(226,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(198,1),(228,1),(244,1)}
       215:{2,3,5}:{(196,1),(197,1),(199,1),(228,1),(229,1)}
       216:{1,3,4}:{(197,1),(229,1)}
       217:{1,3,6}:{(198,1),(199,1),(225,1),(228,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(209,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(210,1),(233,1)}
       221:{1,5}:{(203,1),(211,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(214,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(215,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(212,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(217,1)}
       226:{3,4,6}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4,5}:{(210,1),(211,1),(213,1),(233,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(217,1),(237,1)}
       229:{2,4}:{(215,1),(216,1),(237,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(226,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(227,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(228,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(229,1),(239,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(236,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(237,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2164 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2165 :   0:{1,2,3,6,7}:{(2,1),(3,1),(47,1),(111,1),(175,1),(180,1),(386,1),(420,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(47,1),(51,1),(91,1),(180,1),(272,1),(303,1),(309,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(25,1),(79,1),(332,1),(368,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(151,1),(235,1),(241,1),(355,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(71,1),(135,1),(465,1)}
         5:{1,3,4,6,7}:{(3,1),(10,1),(11,1),(12,1),(39,1),(47,1),(176,1),(297,1),(302,1),(308,1),(420,1),(501,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(12,1),(108,1),(501,1)}
         7:{1,2,5,7}:{(3,1),(11,1),(14,1),(202,1),(303,1)}
         8:{1,3,4,6}:{(4,1),(12,1),(15,1),(16,1),(47,1),(187,1),(309,1)}
         9:{1,2,4,5}:{(4,1),(16,1),(42,1),(303,1),(417,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(24,1),(61,1),(75,1),(126,1),(140,1),(151,1),(237,1),(247,1),(252,1),(374,1),(469,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(363,1),(365,1)}
        12:{1,3,4,7}:{(6,1),(8,1),(24,1),(25,1),(368,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(21,1),(25,1),(26,1),(66,1)}
        14:{1,2,5,6}:{(7,1),(22,1),(26,1),(146,1),(355,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(71,1),(75,1),(141,1),(258,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(32,1),(64,1),(71,1),(122,1),(146,1),(218,1),(249,1),(364,1),(369,1),(465,1)}
        18:{1,2,3,6,7}:{(33,1),(34,1),(44,1),(98,1),(178,1),(298,1),(322,1),(529,1)}
        19:{1,3,4,6,7}:{(10,1),(34,1),(35,1),(45,1),(85,1),(89,1),(110,1),(178,1),(199,1),(205,1),(322,1),(426,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(35,1),(36,1),(37,1),(191,1),(202,1),(305,1),(313,1)}
        21:{1,4,5,7}:{(11,1),(36,1),(39,1),(417,1),(501,1)}
        22:{1,3,5,6}:{(11,1),(14,1),(37,1),(39,1),(47,1),(297,1),(304,1)}
        23:{1,3,4,5}:{(16,1),(42,1),(43,1),(417,1),(421,1)}
        24:{2,3,4,7}:{(12,1),(15,1),(45,1),(46,1),(108,1),(318,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(39,1),(47,1),(103,1)}
        27:{1,2,5,6,7}:{(14,1),(40,1),(48,1),(202,1),(283,1),(392,1),(409,1),(419,1)}
        28:{1,2,3,6}:{(41,1),(44,1),(49,1),(206,1)}
        29:{1,3,4,6}:{(15,1),(45,1),(49,1),(50,1),(105,1),(107,1),(110,1),(206,1)}
        30:{2,3,5}:{(15,1),(16,1),(42,1),(50,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(43,1),(47,1),(51,1),(52,1),(309,1),(422,1)}
        32:{1,2,4,5,7}:{(17,1),(48,1),(52,1),(100,1),(108,1),(171,1),(202,1),(280,1),(310,1),(419,1),(423,1),(501,1)}
        33:{1,2,3,5,7}:{(18,1),(55,1),(56,1),(57,1),(127,1),(354,1),(376,1),(523,1),(547,1)}
        34:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(73,1),(128,1),(145,1),(155,1),(247,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(57,1),(58,1),(59,1),(260,1),(262,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(58,1),(60,1),(61,1),(371,1),(469,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(59,1),(61,1),(75,1),(136,1),(146,1),(237,1),(242,1)}
        38:{1,3,4,5,7}:{(21,1),(23,1),(25,1),(60,1),(66,1),(67,1),(72,1),(147,1)}
        39:{1,4,6}:{(21,1),(22,1),(61,1)}
        40:{1,3,5,6,7}:{(22,1),(27,1),(62,1),(68,1),(76,1),(147,1),(356,1),(365,1),(466,1)}
        41:{1,2,3,5}:{(28,1),(69,1),(77,1),(152,1)}
        42:{2,4,5}:{(23,1),(30,1),(70,1),(71,1)}
        43:{1,3,4,6}:{(23,1),(31,1),(71,1),(72,1),(465,1),(467,1)}
        44:{1,2,3,7}:{(28,1),(73,1),(265,1)}
        45:{1,3,4,7}:{(24,1),(29,1),(73,1),(74,1),(154,1),(265,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(30,1),(66,1),(74,1),(75,1)}
        47:{1,3,6}:{(25,1),(26,1),(75,1)}
        48:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(68,1),(76,1),(151,1),(225,1),(338,1),(440,1)}
        49:{1,2,4,6}:{(28,1),(29,1),(69,1),(73,1),(77,1),(155,1)}
        50:{1,3,5}:{(29,1),(30,1),(70,1),(77,1)}
        51:{2,3,5,6}:{(30,1),(31,1),(71,1),(75,1),(78,1),(79,1),(146,1),(218,1),(258,1)}
        52:{1,3,5,7}:{(31,1),(32,1),(72,1),(76,1),(79,1),(368,1),(468,1)}
        53:{1,2,3,5,6}:{(41,1),(80,1),(81,1),(98,1),(112,1),(169,1),(200,1),(206,1),(279,1),(282,1),(285,1),(320,1)}
        54:{1,3,4,5,6}:{(43,1),(82,1),(83,1),(99,1),(162,1),(189,1),(287,1),(311,1),(398,1),(422,1)}
        55:{1,2,3,5,6}:{(33,1),(84,1),(87,1),(98,1),(173,1),(178,1),(200,1),(294,1),(320,1),(400,1),(495,1),(536,1)}
        56:{1,2,4,7}:{(33,1),(84,1),(85,1),(406,1),(426,1)}
        57:{1,2,5,7}:{(34,1),(35,1),(87,1),(200,1),(305,1)}
        58:{1,4,5,7}:{(35,1),(36,1),(89,1),(319,1),(426,1)}
        59:{1,3,5,6}:{(35,1),(37,1),(87,1),(89,1),(110,1),(178,1),(201,1)}
        60:{3,4,5,7}:{(36,1),(94,1),(191,1),(421,1),(502,1)}
        61:{2,4,6}:{(36,1),(37,1),(39,1),(89,1),(94,1)}
        62:{2,3,5,6,7}:{(37,1),(40,1),(90,1),(95,1),(111,1),(191,1),(202,1),(298,1),(305,1),(392,1),(425,1),(482,1)}
        63:{2,3,4,5}:{(42,1),(96,1),(97,1),(196,1),(278,1),(421,1)}
        64:{1,4,5,6}:{(39,1),(92,1),(99,1),(100,1),(304,1)}
        65:{1,2,3,5,7}:{(41,1),(44,1),(98,1),(101,1),(109,1),(200,1),(203,1),(377,1),(400,1),(471,1)}
        66:{2,4,5,7}:{(38,1),(42,1),(46,1),(102,1),(103,1),(108,1),(202,1)}
        67:{1,3,4,6}:{(38,1),(39,1),(47,1),(94,1),(99,1),(103,1)}
        68:{1,4,6,7}:{(39,1),(40,1),(95,1),(100,1),(501,1)}
        69:{1,2,4}:{(41,1),(105,1)}
        70:{1,4,5}:{(42,1),(50,1),(107,1)}
        71:{2,4,6}:{(42,1),(43,1),(51,1),(107,1),(108,1)}
        72:{1,3,4,7}:{(43,1),(52,1),(108,1),(501,1),(502,1)}
        73:{1,2,4,7}:{(44,1),(45,1),(49,1),(109,1)}
        74:{1,3,5,7}:{(45,1),(46,1),(50,1),(102,1),(109,1),(110,1)}
        75:{2,3,6}:{(46,1),(47,1),(103,1),(110,1)}
        76:{1,3,6,7}:{(47,1),(48,1),(52,1),(111,1),(482,1)}
        77:{1,2,5}:{(49,1),(50,1)}
        78:{1,3,5,6}:{(50,1),(51,1),(107,1),(110,1),(112,1),(113,1),(201,1),(206,1)}
        79:{2,3,5,7}:{(51,1),(52,1),(108,1),(111,1),(113,1),(202,1),(280,1),(318,1)}
        80:{1,2,3,5,7}:{(53,1),(116,1),(118,1),(157,1),(221,1),(223,1),(265,1),(340,1),(376,1)}
        81:{1,2,4,6}:{(53,1),(69,1),(118,1),(120,1),(121,1),(339,1),(375,1)}
        82:{2,4,5,6}:{(54,1),(71,1),(115,1),(122,1),(123,1),(146,1),(218,1),(339,1),(443,1)}
        83:{1,3,4,5,7}:{(54,1),(72,1),(119,1),(123,1),(147,1),(219,1),(251,1),(346,1),(370,1),(447,1),(468,1)}
        84:{1,2,4,6}:{(55,1),(56,1),(124,1),(125,1),(350,1),(375,1),(448,1)}
        85:{1,3,4,7}:{(56,1),(124,1),(126,1),(127,1),(547,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(125,1),(127,1),(128,1),(132,1)}
        87:{1,2,5,6}:{(57,1),(59,1),(128,1),(155,1),(242,1)}
        88:{1,3,4,5,7}:{(58,1),(60,1),(127,1),(132,1),(133,1),(229,1),(243,1),(351,1)}
        89:{1,4,6}:{(58,1),(59,1),(61,1)}
        90:{1,3,5,6,7}:{(59,1),(62,1),(129,1),(134,1),(156,1),(238,1),(243,1),(262,1),(376,1)}
        91:{1,2,3,5}:{(114,1),(135,1),(213,1),(248,1)}
        92:{2,4,5,6}:{(61,1),(64,1),(130,1),(136,1),(137,1),(146,1),(242,1)}
        93:{2,3,4,5,7}:{(60,1),(63,1),(66,1),(132,1),(138,1),(139,1),(144,1),(254,1),(255,1),(336,1),(347,1),(371,1),(439,1),(452,1),(469,1),(505,1)}
        94:{3,4,6}:{(60,1),(61,1),(136,1)}
        95:{2,4,6,7}:{(61,1),(62,1),(68,1),(134,1),(137,1),(140,1),(469,1)}
        96:{1,3,4,5}:{(63,1),(70,1),(142,1),(143,1),(152,1),(248,1),(330,1)}
        97:{2,3,4,6}:{(63,1),(71,1),(115,1),(143,1),(144,1),(258,1),(339,1),(467,1)}
        98:{1,2,3,6}:{(65,1),(145,1),(155,1),(263,1),(504,1)}
        99:{1,3,5,6}:{(64,1),(67,1),(136,1),(146,1),(147,1)}
       100:{1,4,5,7}:{(64,1),(68,1),(137,1),(147,1),(365,1)}
       101:{1,2,4,7}:{(65,1),(69,1),(145,1),(148,1),(448,1)}
       102:{1,4,5,7}:{(66,1),(70,1),(74,1),(150,1),(154,1),(262,1)}
       103:{2,4,6}:{(66,1),(67,1),(75,1),(146,1),(150,1)}
       104:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(76,1),(140,1),(147,1),(151,1)}
       105:{1,3,4}:{(69,1),(141,1),(152,1)}
       106:{1,2,4,5}:{(69,1),(70,1),(77,1),(142,1),(152,1),(153,1)}
       107:{1,4,6}:{(70,1),(71,1),(78,1),(154,1)}
       108:{2,4,7}:{(71,1),(72,1),(79,1),(154,1)}
       109:{1,2,5,7}:{(73,1),(74,1),(77,1),(155,1)}
       110:{1,3,6}:{(74,1),(75,1),(150,1),(155,1)}
       111:{2,3,6,7}:{(75,1),(76,1),(79,1),(151,1),(156,1),(338,1)}
       112:{1,2,5,6}:{(77,1),(78,1),(153,1),(155,1),(157,1),(218,1)}
       113:{1,3,5,7}:{(78,1),(79,1),(154,1),(156,1),(157,1),(262,1),(265,1)}
       114:{1,2,3,6}:{(91,1),(158,1),(159,1),(309,1)}
       115:{2,3,5,6}:{(82,1),(97,1),(162,1),(163,1),(422,1)}
       116:{1,2,3,6,7}:{(80,1),(98,1),(164,1),(208,1),(285,1),(322,1),(377,1),(394,1)}
       117:{1,4,5,6,7}:{(100,1),(160,1),(165,1),(383,1),(389,1),(486,1)}
       118:{1,2,4,7}:{(80,1),(81,1),(166,1),(395,1),(426,1)}
       119:{1,3,4,6,7}:{(83,1),(165,1),(168,1),(273,1),(277,1),(389,1),(482,1)}
       120:{1,3,4,6}:{(81,1),(105,1),(161,1),(166,1),(169,1),(206,1),(285,1)}
       121:{1,2,4,5}:{(81,1),(169,1),(200,1),(278,1),(319,1)}
       122:{1,4,5,6}:{(82,1),(107,1),(162,1),(171,1),(201,1),(387,1),(479,1)}
       123:{2,4,5,7}:{(82,1),(83,1),(108,1),(163,1),(168,1),(171,1),(202,1),(280,1),(395,1),(485,1)}
       124:{1,3,4,6}:{(84,1),(85,1),(172,1),(173,1),(178,1),(487,1),(536,1)}
       125:{1,2,4,5}:{(84,1),(173,1),(200,1),(290,1),(319,1)}
       126:{2,3,4,7}:{(85,1),(172,1),(176,1),(177,1),(406,1),(538,1)}
       127:{1,3,5,7}:{(85,1),(86,1),(173,1),(177,1),(178,1)}
       128:{1,2,4,6}:{(86,1),(87,1),(89,1),(178,1),(185,1)}
       129:{1,2,5,6,7}:{(87,1),(90,1),(179,1),(208,1),(305,1),(321,1),(383,1),(392,1)}
       130:{1,4,5,6}:{(89,1),(92,1),(181,1),(182,1),(201,1)}
       131:{1,2,3,5,7}:{(91,1),(158,1),(175,1),(180,1),(183,1),(270,1),(289,1),(296,1),(303,1),(306,1)}
       132:{2,4,5,7}:{(88,1),(177,1),(184,1),(185,1),(290,1),(305,1),(406,1)}
       133:{1,3,4,6}:{(88,1),(89,1),(94,1),(178,1),(181,1),(185,1)}
       134:{1,4,6,7}:{(89,1),(90,1),(95,1),(182,1),(426,1)}
       135:{1,2,4}:{(91,1),(187,1)}
       136:{3,5,6}:{(92,1),(94,1),(191,1)}
       137:{2,4,5,7}:{(92,1),(95,1),(100,1),(182,1),(191,1),(202,1),(305,1)}
       138:{1,3,4,5,7}:{(93,1),(96,1),(102,1),(184,1),(193,1),(194,1),(198,1),(203,1),(306,1),(315,1),(319,1),(384,1),(401,1),(417,1),(421,1),(426,1),(491,1),(501,1),(502,1),(527,1)}
       139:{2,3,4,6}:{(93,1),(94,1),(103,1),(185,1),(190,1),(194,1),(316,1),(393,1),(424,1),(481,1),(530,1)}
       140:{3,4,6,7}:{(94,1),(95,1),(191,1),(482,1),(502,1)}
       141:{2,3,4}:{(105,1),(187,1),(196,1)}
       142:{2,4,5}:{(96,1),(196,1),(197,1)}
       143:{1,3,4,6}:{(96,1),(97,1),(107,1),(162,1),(197,1),(198,1),(206,1),(309,1),(387,1)}
       144:{2,3,4,7}:{(97,1),(108,1),(163,1),(198,1),(318,1),(395,1),(502,1)}
       145:{1,2,4,6}:{(98,1),(101,1),(199,1),(200,1)}
       146:{2,5,6}:{(99,1),(103,1),(201,1),(202,1)}
       147:{1,3,5,7}:{(99,1),(100,1),(104,1),(191,1),(202,1)}
       148:{1,3,4,7}:{(101,1),(105,1),(192,1),(199,1),(203,1),(426,1),(487,1)}
       149:{1,2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(193,1),(200,1),(203,1),(204,1),(207,1),(319,1),(321,1),(426,1),(471,1),(488,1),(527,1),(537,1)}
       150:{1,4,6}:{(102,1),(103,1),(110,1),(201,1)}
       151:{2,4,6,7}:{(103,1),(104,1),(108,1),(111,1),(202,1),(205,1)}
       152:{1,3,5}:{(105,1),(106,1),(196,1),(206,1)}
       153:{1,2,4,6}:{(106,1),(107,1),(112,1),(197,1),(206,1),(207,1)}
       154:{1,4,7}:{(107,1),(108,1),(113,1)}
       155:{1,2,6}:{(109,1),(110,1)}
       156:{1,3,6,7}:{(110,1),(111,1),(113,1),(205,1),(208,1)}
       157:{1,2,5,7}:{(112,1),(113,1),(207,1),(208,1),(280,1)}
       158:{1,2,3,7}:{(114,1),(211,1),(368,1)}
       159:{1,2,4,6}:{(114,1),(135,1),(211,1),(212,1),(213,1),(329,1)}
       160:{2,4,5,6,7}:{(117,1),(137,1),(210,1),(214,1),(222,1),(327,1),(333,1),(440,1),(515,1)}
       161:{2,3,4,6}:{(120,1),(141,1),(212,1),(215,1),(217,1),(258,1),(337,1),(339,1)}
       162:{1,3,5,6}:{(115,1),(122,1),(143,1),(218,1),(219,1)}
       163:{2,3,5,7}:{(115,1),(123,1),(144,1),(216,1),(219,1),(468,1)}
       164:{1,2,4,6,7}:{(116,1),(118,1),(145,1),(220,1),(221,1),(224,1),(427,1),(444,1),(504,1)}
       165:{1,3,5,6,7}:{(117,1),(119,1),(147,1),(214,1),(222,1),(447,1)}
       166:{1,3,4,7}:{(118,1),(120,1),(215,1),(223,1),(265,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(221,1),(223,1),(224,1),(336,1),(341,1)}
       168:{2,4,6,7}:{(119,1),(123,1),(216,1),(222,1),(225,1),(338,1)}
       169:{1,3,5}:{(120,1),(121,1),(217,1)}
       170:{1,2,4,5,6}:{(121,1),(122,1),(153,1),(218,1),(224,1),(227,1),(228,1),(261,1),(339,1),(369,1),(375,1),(443,1),(445,1)}
       171:{1,4,5,7}:{(122,1),(123,1),(154,1),(219,1),(225,1),(262,1),(438,1),(512,1)}
       172:{2,3,4,6}:{(124,1),(126,1),(231,1),(232,1),(237,1),(350,1),(449,1),(518,1)}
       173:{1,3,5}:{(124,1),(125,1),(232,1)}
       174:{1,2,4,5,6}:{(125,1),(128,1),(130,1),(233,1),(234,1),(242,1),(261,1),(350,1),(361,1),(369,1),(375,1),(460,1),(517,1)}
       175:{1,2,3,7}:{(230,1),(235,1),(520,1)}
       176:{1,3,4,7}:{(126,1),(231,1),(235,1),(236,1),(455,1),(520,1)}
       177:{2,3,5,7}:{(126,1),(127,1),(132,1),(232,1),(236,1),(237,1)}
       178:{1,3,6}:{(127,1),(128,1),(237,1)}
       179:{1,2,4,6,7}:{(128,1),(129,1),(134,1),(234,1),(238,1),(247,1),(432,1),(440,1),(507,1)}
       180:{1,2,3,6}:{(131,1),(241,1),(329,1),(355,1),(366,1)}
       181:{1,3,5,6}:{(130,1),(133,1),(136,1),(242,1),(243,1)}
       182:{1,4,5,7}:{(130,1),(134,1),(137,1),(243,1),(262,1)}
       183:{1,2,4,7}:{(131,1),(135,1),(241,1),(244,1),(348,1)}
       184:{1,4,5,7}:{(132,1),(236,1),(246,1),(349,1),(365,1),(455,1)}
       185:{2,4,6}:{(132,1),(133,1),(237,1),(242,1),(246,1)}
       186:{1,3,4,6,7}:{(133,1),(134,1),(140,1),(238,1),(243,1),(247,1),(351,1)}
       187:{1,3,4}:{(135,1),(141,1),(248,1)}
       188:{1,2,4,5}:{(135,1),(142,1),(213,1),(248,1),(249,1),(330,1)}
       189:{3,4,5,6}:{(136,1),(250,1),(251,1),(467,1),(513,1)}
       190:{2,3,5,6}:{(136,1),(139,1),(146,1),(242,1),(250,1),(253,1),(254,1),(443,1),(513,1),(544,1)}
       191:{3,5,7}:{(136,1),(137,1),(140,1)}
       192:{2,3,4,7}:{(141,1),(148,1),(244,1),(252,1),(255,1),(449,1),(469,1)}
       193:{2,4,5,7}:{(138,1),(142,1),(255,1),(256,1),(259,1),(371,1),(373,1),(450,1),(469,1),(519,1)}
       194:{1,3,4,6}:{(138,1),(139,1),(150,1),(246,1),(253,1),(256,1),(263,1),(366,1),(375,1),(436,1),(465,1),(467,1),(542,1)}
       195:{2,3,4,6,7}:{(139,1),(140,1),(144,1),(151,1),(216,1),(247,1),(254,1),(257,1),(333,1),(374,1),(429,1),(444,1),(452,1),(469,1),(514,1),(545,1)}
       196:{2,3,5}:{(141,1),(142,1),(152,1),(248,1),(258,1)}
       197:{2,4,6}:{(142,1),(143,1),(218,1),(258,1),(259,1)}
       198:{1,3,4,7}:{(143,1),(144,1),(154,1),(219,1),(259,1),(265,1),(368,1),(438,1)}
       199:{1,3,4,6}:{(145,1),(148,1),(252,1),(260,1),(263,1),(375,1)}
       200:{1,2,5}:{(145,1),(260,1)}
       201:{1,5,6}:{(146,1),(150,1),(262,1)}
       202:{2,5,7}:{(146,1),(147,1),(151,1),(262,1)}
       203:{1,3,5,7}:{(148,1),(149,1),(152,1),(255,1),(260,1),(263,1),(265,1),(516,1),(547,1)}
       204:{1,2,4,6}:{(149,1),(150,1),(155,1),(256,1),(261,1),(263,1),(375,1),(504,1),(542,1)}
       205:{1,4,6,7}:{(150,1),(151,1),(154,1),(156,1),(262,1)}
       206:{1,3,6}:{(152,1),(153,1),(258,1),(265,1)}
       207:{1,2,4,7}:{(153,1),(154,1),(157,1),(259,1),(265,1)}
       208:{1,2,6,7}:{(155,1),(156,1),(157,1),(338,1)}
       209:{1,2,3,6,7}:{(158,1),(180,1),(266,1),(267,1),(409,1),(420,1),(475,1),(531,1)}
       210:{1,4,5,6,7}:{(160,1),(182,1),(268,1),(283,1),(389,1),(534,1)}
       211:{1,2,4,7}:{(158,1),(159,1),(269,1),(270,1)}
       212:{1,3,4,6}:{(159,1),(161,1),(187,1),(269,1),(271,1),(309,1),(385,1),(387,1)}
       213:{1,2,5}:{(159,1),(271,1)}
       214:{3,5,6,7}:{(160,1),(191,1),(273,1),(482,1),(535,1)}
       215:{2,3,4,7}:{(161,1),(166,1),(269,1),(276,1),(318,1),(395,1)}
       216:{2,3,6,7}:{(163,1),(168,1),(277,1),(482,1)}
       217:{2,3,5}:{(161,1),(169,1),(271,1),(278,1)}
       218:{2,5,6}:{(162,1),(197,1),(280,1)}
       219:{1,3,5,7}:{(162,1),(163,1),(171,1),(198,1),(277,1),(280,1)}
       220:{1,3,4,6,7}:{(164,1),(166,1),(199,1),(274,1),(281,1),(285,1),(322,1),(396,1),(426,1),(470,1),(528,1),(550,1)}
       221:{1,2,5,7}:{(164,1),(200,1),(281,1),(282,1),(485,1)}
       222:{2,5,6,7}:{(165,1),(168,1),(202,1),(283,1),(485,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(169,1),(276,1),(285,1)}
       224:{1,2,4,6}:{(167,1),(282,1),(285,1),(393,1),(396,1)}
       225:{1,4,6,7}:{(168,1),(171,1),(277,1),(283,1)}
       226:{1,3,4,5}:{(169,1),(278,1),(287,1),(319,1),(421,1)}
       227:{1,3,5,6}:{(169,1),(170,1),(206,1),(279,1),(285,1),(287,1),(288,1),(422,1)}
       228:{1,2,4,5,7}:{(170,1),(171,1),(207,1),(280,1),(286,1),(288,1),(321,1),(395,1),(423,1),(426,1),(485,1),(486,1)}
       229:{1,3,4,5}:{(173,1),(290,1),(291,1),(319,1),(421,1)}
       230:{1,2,3,6}:{(175,1),(289,1),(292,1),(492,1)}
       231:{1,3,4,6}:{(172,1),(176,1),(292,1),(293,1),(297,1),(403,1),(405,1),(492,1)}
       232:{2,3,5}:{(172,1),(173,1),(290,1),(293,1)}
       233:{1,3,5,6}:{(173,1),(174,1),(178,1),(291,1),(294,1),(295,1),(422,1),(536,1)}
       234:{1,2,4,5,7}:{(174,1),(179,1),(182,1),(295,1),(305,1),(321,1),(406,1),(416,1),(423,1),(426,1),(498,1),(537,1)}
       235:{1,2,4,7}:{(175,1),(176,1),(292,1),(296,1)}
       236:{1,3,5,7}:{(176,1),(177,1),(184,1),(293,1),(296,1),(297,1)}
       237:{2,3,6}:{(177,1),(178,1),(185,1),(297,1)}
       238:{1,3,6,7}:{(178,1),(179,1),(295,1),(298,1),(482,1)}
       239:{1,2,3,5,6}:{(180,1),(266,1),(289,1),(299,1),(303,1),(382,1),(407,1),(414,1),(418,1),(475,1),(492,1),(497,1)}
       240:{1,3,4,5,6}:{(181,1),(189,1),(291,1),(300,1),(301,1),(311,1),(412,1),(422,1),(499,1),(532,1)}
       241:{1,2,4,6}:{(180,1),(183,1),(302,1),(303,1)}
       242:{2,5,6}:{(181,1),(185,1),(304,1),(305,1)}
       243:{1,3,5,7}:{(181,1),(182,1),(186,1),(191,1),(305,1)}
       244:{1,3,4,7}:{(183,1),(187,1),(192,1),(302,1),(306,1),(403,1),(501,1)}
       245:{1,2,4,5,7}:{(183,1),(184,1),(188,1),(193,1),(270,1),(296,1),(303,1),(306,1),(307,1),(310,1),(384,1),(404,1),(417,1),(419,1),(493,1),(501,1)}
       246:{1,4,6}:{(184,1),(185,1),(297,1),(304,1)}
       247:{2,4,6,7}:{(185,1),(186,1),(298,1),(305,1),(308,1),(406,1)}
       248:{1,3,5}:{(187,1),(188,1),(196,1),(309,1)}
       249:{1,2,4,6}:{(188,1),(197,1),(272,1),(309,1),(310,1),(387,1)}
       250:{2,4,5,6}:{(189,1),(190,1),(311,1),(312,1),(424,1)}
       251:{3,4,5,7}:{(189,1),(191,1),(273,1),(312,1),(502,1),(535,1)}
       252:{2,3,4,6}:{(192,1),(199,1),(302,1),(313,1),(316,1),(424,1)}
       253:{1,3,5,6}:{(190,1),(194,1),(201,1),(304,1),(311,1),(314,1),(315,1),(422,1),(479,1),(549,1)}
       254:{2,3,5,7}:{(190,1),(191,1),(195,1),(202,1),(305,1),(312,1),(315,1),(485,1),(535,1),(551,1)}
       255:{2,3,5,7}:{(192,1),(193,1),(196,1),(203,1),(306,1),(313,1),(316,1),(318,1),(489,1),(538,1)}
       256:{2,4,6}:{(193,1),(194,1),(314,1),(316,1)}
       257:{1,3,4,6,7}:{(194,1),(195,1),(198,1),(205,1),(277,1),(308,1),(315,1),(317,1),(322,1),(389,1),(420,1),(426,1),(473,1),(480,1),(482,1),(491,1),(501,1),(502,1),(550,1)}
       258:{2,3,6}:{(196,1),(197,1),(206,1),(309,1),(318,1)}
       259:{2,4,7}:{(197,1),(198,1),(280,1),(318,1)}
       260:{1,3,5}:{(199,1),(200,1),(313,1),(319,1)}
       261:{1,2,5,6}:{(200,1),(201,1),(204,1),(314,1),(320,1),(321,1),(549,1)}
       262:{1,5,7}:{(201,1),(202,1),(205,1)}
       263:{1,3,6}:{(203,1),(204,1),(316,1)}
       264:{1,2,4,6,7}:{(204,1),(205,1),(207,1),(208,1),(317,1),(321,1),(322,1),(426,1),(529,1),(537,1),(550,1)}
       265:{1,3,7}:{(206,1),(207,1),(318,1)}
       266:{1,2,3,5,7}:{(209,1),(239,1),(323,1),(326,1),(430,1),(456,1),(466,1),(520,1),(525,1)}
       267:{1,2,4,6,7}:{(209,1),(211,1),(241,1),(323,1),(325,1),(326,1),(329,1),(431,1),(545,1)}
       268:{1,3,5,6,7}:{(210,1),(214,1),(243,1),(324,1),(327,1),(546,1)}
       269:{1,3,4,7}:{(211,1),(212,1),(215,1),(328,1),(368,1),(438,1)}
       270:{1,2,5,7}:{(211,1),(213,1),(328,1),(329,1)}
       271:{1,3,5}:{(212,1),(213,1),(217,1),(330,1)}
       272:{1,2,5,6}:{(213,1),(218,1),(249,1),(329,1),(331,1),(332,1)}
       273:{3,4,6,7}:{(214,1),(251,1),(333,1)}
       274:{2,3,4,6,7}:{(215,1),(220,1),(252,1),(325,1),(334,1),(337,1),(374,1),(428,1),(441,1),(444,1),(469,1),(506,1),(514,1),(545,1)}
       275:{2,3,5,6,7}:{(214,1),(216,1),(222,1),(254,1),(327,1),(333,1),(335,1),(429,1)}
       276:{2,3,5,7}:{(215,1),(217,1),(223,1),(328,1),(336,1),(337,1)}
       277:{1,3,6,7}:{(216,1),(219,1),(225,1),(338,1)}
       278:{2,4,5}:{(217,1),(226,1),(330,1),(339,1)}
       279:{2,3,5,6}:{(217,1),(218,1),(227,1),(258,1),(331,1),(337,1),(339,1),(340,1),(443,1)}
       280:{2,5,7}:{(218,1),(219,1),(259,1),(338,1)}
       281:{1,3,5,7}:{(220,1),(221,1),(260,1),(334,1),(341,1),(342,1),(552,1)}
       282:{1,2,5,6}:{(221,1),(224,1),(342,1),(443,1),(504,1)}
       283:{1,5,6,7}:{(222,1),(225,1),(262,1),(512,1)}
       284:{1,3,4,5,7}:{(223,1),(226,1),(336,1),(341,1),(344,1),(346,1),(439,1),(447,1)}
       285:{1,3,6}:{(223,1),(224,1),(337,1)}
       286:{1,2,4,6,7}:{(224,1),(225,1),(228,1),(338,1),(343,1),(345,1),(440,1),(444,1),(446,1)}
       287:{1,3,4,6}:{(226,1),(227,1),(339,1),(346,1),(375,1),(467,1)}
       288:{1,3,5,7}:{(227,1),(228,1),(265,1),(340,1),(345,1),(346,1),(468,1)}
       289:{1,2,3,5}:{(230,1),(348,1),(352,1),(453,1)}
       290:{2,4,5}:{(229,1),(232,1),(349,1),(350,1)}
       291:{1,3,4,6}:{(229,1),(233,1),(350,1),(351,1),(375,1),(467,1)}
       292:{1,2,4,6}:{(230,1),(231,1),(235,1),(348,1),(352,1),(355,1)}
       293:{1,3,5}:{(231,1),(232,1),(349,1),(352,1)}
       294:{2,3,5,6}:{(232,1),(233,1),(237,1),(242,1),(350,1),(353,1),(354,1),(460,1),(518,1)}
       295:{1,3,5,7}:{(233,1),(234,1),(238,1),(351,1),(354,1),(468,1),(547,1)}
       296:{1,2,5,7}:{(235,1),(236,1),(352,1),(355,1)}
       297:{1,3,6}:{(236,1),(237,1),(246,1),(355,1)}
       298:{2,3,6,7}:{(237,1),(238,1),(247,1),(354,1),(356,1),(507,1)}
       299:{1,2,4,6}:{(239,1),(323,1),(348,1),(359,1),(360,1),(465,1),(524,1)}
       300:{2,4,5,6}:{(240,1),(242,1),(350,1),(358,1),(361,1),(362,1),(460,1),(524,1),(544,1)}
       301:{1,3,4,5,7}:{(240,1),(243,1),(251,1),(324,1),(351,1),(362,1),(370,1),(461,1),(468,1),(526,1),(546,1)}
       302:{1,3,4,6}:{(241,1),(244,1),(252,1),(363,1),(366,1),(465,1)}
       303:{1,2,5}:{(241,1),(363,1)}
       304:{1,5,6}:{(242,1),(246,1),(365,1)}
       305:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       306:{1,3,5,7}:{(244,1),(245,1),(248,1),(255,1),(363,1),(366,1),(368,1),(453,1),(520,1)}
       307:{1,2,4,6}:{(245,1),(246,1),(256,1),(329,1),(355,1),(364,1),(366,1),(436,1),(465,1)}
       308:{1,4,6,7}:{(246,1),(247,1),(356,1),(365,1),(455,1)}
       309:{1,3,6}:{(248,1),(249,1),(258,1),(368,1)}
       310:{1,2,4,7}:{(249,1),(259,1),(332,1),(368,1),(438,1)}
       311:{1,4,5,6}:{(250,1),(253,1),(369,1),(370,1),(375,1),(465,1)}
       312:{2,4,5,7}:{(250,1),(251,1),(254,1),(333,1),(370,1),(469,1)}
       313:{2,3,5}:{(252,1),(260,1),(363,1),(371,1)}
       314:{2,5,6}:{(253,1),(256,1),(373,1)}
       315:{1,3,5,7}:{(253,1),(254,1),(257,1),(262,1),(365,1),(370,1),(373,1),(468,1),(512,1),(552,1)}
       316:{2,3,6}:{(255,1),(256,1),(263,1),(366,1)}
       317:{2,4,6,7}:{(256,1),(257,1),(259,1),(338,1),(373,1),(374,1),(469,1),(507,1),(519,1)}
       318:{2,3,7}:{(258,1),(259,1),(265,1),(368,1)}
       319:{1,4,5}:{(260,1),(371,1),(375,1)}
       320:{1,3,5,6}:{(260,1),(261,1),(263,1),(372,1),(375,1),(376,1)}
       321:{1,2,5,7}:{(261,1),(262,1),(264,1),(373,1),(376,1),(552,1)}
       322:{1,3,6,7}:{(263,1),(264,1),(265,1),(374,1),(376,1),(547,1)}
       323:{1,2,4,7}:{(266,1),(299,1),(378,1),(501,1),(541,1)}
       324:{1,3,4,6,7}:{(268,1),(273,1),(301,1),(380,1),(389,1),(473,1),(482,1)}
       325:{1,3,4,6,7}:{(267,1),(269,1),(274,1),(302,1),(378,1),(381,1),(385,1),(420,1),(475,1),(477,1),(480,1),(501,1)}
       326:{1,2,5,7}:{(267,1),(303,1),(381,1),(382,1),(551,1)}
       327:{2,5,6,7}:{(268,1),(305,1),(380,1),(383,1),(551,1)}
       328:{1,3,5,7}:{(269,1),(270,1),(271,1),(276,1),(384,1),(385,1)}
       329:{1,2,6}:{(270,1),(385,1)}
       330:{1,4,5}:{(271,1),(278,1),(387,1)}
       331:{1,3,5,6}:{(271,1),(272,1),(279,1),(309,1),(385,1),(387,1),(388,1),(479,1)}
       332:{1,2,5,7}:{(272,1),(280,1),(310,1),(386,1),(388,1)}
       333:{2,4,6,7}:{(273,1),(275,1),(312,1),(389,1)}
       334:{2,3,5,7}:{(274,1),(281,1),(313,1),(381,1),(390,1),(391,1),(485,1),(535,1),(551,1)}
       335:{1,3,5,6,7}:{(275,1),(277,1),(283,1),(315,1),(383,1),(389,1),(392,1),(473,1),(482,1)}
       336:{2,4,5,7}:{(276,1),(278,1),(284,1),(384,1),(393,1),(395,1),(485,1)}
       337:{2,3,6}:{(276,1),(285,1),(385,1),(393,1)}
       338:{2,6,7}:{(277,1),(280,1)}
       339:{2,4,6}:{(278,1),(279,1),(287,1),(387,1),(395,1)}
       340:{2,3,5,7}:{(279,1),(280,1),(288,1),(318,1),(388,1),(394,1),(395,1),(485,1)}
       341:{1,4,5,7}:{(281,1),(319,1),(390,1),(396,1),(426,1)}
       342:{1,3,5,6}:{(281,1),(282,1),(285,1),(391,1),(396,1),(528,1),(549,1)}
       343:{1,2,5,6,7}:{(282,1),(283,1),(286,1),(321,1),(392,1),(397,1),(485,1),(529,1)}
       344:{1,3,4,6}:{(284,1),(285,1),(393,1),(396,1),(398,1),(481,1)}
       345:{1,3,6,7}:{(285,1),(286,1),(288,1),(394,1),(482,1)}
       346:{1,3,4,7}:{(287,1),(288,1),(395,1),(426,1),(502,1)}
       347:{2,3,4,5}:{(290,1),(401,1),(402,1),(421,1),(489,1),(496,1)}
       348:{1,2,4}:{(289,1),(403,1)}
       349:{1,4,5}:{(290,1),(293,1),(405,1)}
       350:{2,4,6}:{(290,1),(291,1),(294,1),(405,1),(406,1)}
       351:{1,3,4,7}:{(291,1),(295,1),(406,1),(426,1),(502,1)}
       352:{1,2,5}:{(292,1),(293,1)}
       353:{1,3,5,6}:{(293,1),(294,1),(297,1),(304,1),(405,1),(407,1),(408,1),(492,1)}
       354:{2,3,5,7}:{(294,1),(295,1),(298,1),(305,1),(406,1),(408,1),(498,1),(538,1)}
       355:{1,2,6}:{(296,1),(297,1)}
       356:{1,3,6,7}:{(297,1),(298,1),(308,1),(408,1),(409,1)}
       357:{1,2,3,6}:{(377,1),(400,1),(410,1),(536,1)}
       358:{2,3,5,6}:{(300,1),(402,1),(412,1),(413,1),(422,1)}
       359:{1,3,4,6}:{(299,1),(378,1),(403,1),(411,1),(414,1),(475,1),(492,1)}
       360:{1,2,4,5}:{(299,1),(303,1),(414,1),(417,1),(496,1)}
       361:{1,4,5,6}:{(300,1),(304,1),(405,1),(412,1),(416,1),(539,1),(549,1)}
       362:{2,4,5,7}:{(300,1),(301,1),(305,1),(380,1),(406,1),(413,1),(416,1),(498,1),(541,1),(551,1)}
       363:{1,3,5}:{(302,1),(303,1),(313,1),(417,1)}
       364:{1,2,5,6}:{(303,1),(304,1),(307,1),(314,1),(418,1),(419,1),(479,1)}
       365:{1,5,7}:{(304,1),(305,1),(308,1)}
       366:{1,3,6}:{(306,1),(307,1),(316,1)}
       367:{1,2,4,6,7}:{(307,1),(308,1),(310,1),(317,1),(386,1),(409,1),(419,1),(420,1),(480,1),(493,1),(501,1)}
       368:{1,3,7}:{(309,1),(310,1),(318,1)}
       369:{2,4,5,6}:{(311,1),(314,1),(422,1),(423,1),(424,1)}
       370:{1,4,5,7}:{(311,1),(312,1),(315,1),(389,1),(423,1),(426,1),(501,1)}
       371:{2,4,5}:{(313,1),(319,1),(417,1),(421,1),(424,1)}
       372:{2,3,5,6}:{(313,1),(314,1),(316,1),(320,1),(418,1),(422,1),(424,1),(425,1)}
       373:{2,5,7}:{(314,1),(315,1),(317,1)}
       374:{2,3,6,7}:{(316,1),(317,1),(318,1),(322,1),(420,1),(425,1),(482,1),(538,1)}
       375:{1,4,6}:{(319,1),(320,1),(424,1),(426,1)}
       376:{1,3,5,7}:{(320,1),(321,1),(322,1),(425,1),(426,1)}
       377:{1,2,3,7}:{(357,1),(427,1),(547,1)}
       378:{1,3,4,7}:{(323,1),(359,1),(428,1),(430,1),(520,1)}
       379:{1,2,4,5,7}:{(323,1),(326,1),(360,1),(430,1),(431,1),(433,1),(505,1)}
       380:{2,4,6,7}:{(324,1),(327,1),(362,1),(429,1),(432,1),(507,1)}
       381:{1,3,5,7}:{(325,1),(326,1),(334,1),(363,1),(433,1),(434,1),(512,1)}
       382:{1,2,5,6}:{(326,1),(329,1),(431,1),(434,1),(544,1)}
       383:{1,5,6,7}:{(327,1),(365,1),(432,1),(552,1)}
       384:{1,4,5,7}:{(328,1),(330,1),(336,1),(436,1),(438,1),(512,1)}
       385:{1,3,6}:{(328,1),(329,1),(337,1),(436,1)}
       386:{1,2,6,7}:{(329,1),(332,1),(338,1),(437,1)}
       387:{1,4,6}:{(330,1),(331,1),(339,1),(438,1)}
       388:{1,3,5,7}:{(331,1),(332,1),(340,1),(368,1),(437,1),(438,1),(512,1)}
       389:{1,4,6,7}:{(333,1),(335,1),(370,1),(440,1)}
       390:{2,4,5,7}:{(334,1),(341,1),(371,1),(433,1),(439,1),(441,1),(469,1)}
       391:{2,3,5,6}:{(334,1),(337,1),(342,1),(434,1),(441,1),(443,1),(506,1),(513,1),(544,1)}
       392:{2,5,6,7}:{(335,1),(338,1),(373,1),(440,1),(507,1)}
       393:{2,4,6}:{(336,1),(337,1),(344,1),(436,1),(443,1)}
       394:{2,3,6,7}:{(337,1),(338,1),(340,1),(345,1),(437,1),(444,1)}
       395:{2,4,7}:{(339,1),(340,1),(346,1),(438,1)}
       396:{1,4,6}:{(341,1),(342,1),(441,1)}
       397:{1,3,5,6,7}:{(342,1),(343,1),(345,1),(376,1),(442,1),(446,1),(447,1),(543,1),(552,1)}
       398:{1,3,5,6}:{(344,1),(443,1),(445,1),(447,1),(513,1)}
       399:{1,3,4,6,7}:{(344,1),(345,1),(346,1),(444,1),(446,1),(447,1),(514,1)}
       400:{1,2,3,5}:{(357,1),(448,1),(458,1),(516,1)}
       401:{1,3,4,5}:{(347,1),(349,1),(450,1),(451,1),(453,1),(516,1),(521,1)}
       402:{2,3,4,6}:{(347,1),(350,1),(358,1),(451,1),(452,1),(467,1),(518,1),(524,1)}
       403:{1,3,4}:{(348,1),(449,1),(453,1)}
       404:{1,2,4,5}:{(348,1),(349,1),(352,1),(450,1),(453,1),(454,1)}
       405:{1,4,6}:{(349,1),(350,1),(353,1),(455,1)}
       406:{2,4,7}:{(350,1),(351,1),(354,1),(455,1)}
       407:{1,2,5,6}:{(352,1),(353,1),(355,1),(454,1),(456,1),(460,1)}
       408:{1,3,5,7}:{(353,1),(354,1),(356,1),(365,1),(455,1),(456,1),(520,1)}
       409:{1,2,6,7}:{(355,1),(356,1),(456,1),(507,1)}
       410:{1,2,4,6}:{(357,1),(427,1),(448,1),(457,1),(458,1),(504,1)}
       411:{2,3,4,6}:{(359,1),(428,1),(449,1),(457,1),(459,1),(506,1),(518,1),(524,1)}
       412:{1,3,5,6}:{(358,1),(361,1),(451,1),(460,1),(461,1)}
       413:{2,3,5,7}:{(358,1),(362,1),(429,1),(452,1),(461,1),(468,1)}
       414:{1,3,5}:{(359,1),(360,1),(459,1)}
       415:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(369,1),(431,1),(454,1),(460,1),(463,1),(464,1),(465,1),(510,1),(524,1),(544,1)}
       416:{1,4,5,7}:{(361,1),(362,1),(365,1),(432,1),(455,1),(461,1),(548,1),(552,1)}
       417:{1,4,5}:{(363,1),(371,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(372,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(373,1),(466,1),(512,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(368,1),(374,1),(466,1),(520,1)}
       421:{3,4,5}:{(371,1),(467,1)}
       422:{3,5,6}:{(369,1),(467,1),(468,1)}
       423:{2,4,5,7}:{(369,1),(370,1),(373,1),(440,1),(468,1),(469,1)}
       424:{2,4,6}:{(371,1),(372,1),(375,1),(465,1),(467,1),(469,1)}
       425:{2,3,5,7}:{(372,1),(373,1),(374,1),(376,1),(466,1),(468,1),(469,1)}
       426:{1,4,7}:{(375,1),(376,1),(469,1)}
       427:{1,2,4,7}:{(377,1),(410,1),(470,1),(471,1)}
       428:{2,3,4,7}:{(378,1),(411,1),(470,1),(472,1),(538,1),(541,1)}
       429:{2,3,6,7}:{(380,1),(413,1),(473,1),(482,1)}
       430:{1,3,5,7}:{(378,1),(379,1),(414,1),(472,1),(475,1)}
       431:{1,2,4,6}:{(379,1),(382,1),(475,1),(477,1),(530,1)}
       432:{1,4,6,7}:{(380,1),(383,1),(416,1),(473,1)}
       433:{1,4,5,7}:{(381,1),(390,1),(417,1),(477,1),(501,1)}
       434:{1,3,5,6}:{(381,1),(382,1),(385,1),(391,1),(475,1),(477,1),(479,1)}
       435:{1,2,5,6,7}:{(382,1),(383,1),(386,1),(392,1),(419,1),(476,1),(478,1),(551,1)}
       436:{1,4,6}:{(384,1),(385,1),(393,1),(479,1)}
       437:{1,3,6,7}:{(385,1),(386,1),(388,1),(394,1),(480,1)}
       438:{1,4,7}:{(387,1),(388,1),(395,1)}
       439:{3,4,5,7}:{(390,1),(421,1),(481,1),(502,1),(535,1)}
       440:{2,4,6,7}:{(389,1),(392,1),(423,1),(482,1)}
       441:{2,4,6}:{(390,1),(391,1),(396,1),(477,1),(481,1)}
       442:{2,3,5,6,7}:{(391,1),(392,1),(394,1),(397,1),(425,1),(478,1),(482,1),(484,1),(485,1),(531,1),(535,1),(551,1)}
       443:{2,5,6}:{(393,1),(398,1),(479,1),(485,1)}
       444:{2,4,6,7}:{(393,1),(394,1),(395,1),(399,1),(480,1),(485,1)}
       445:{1,4,5,6}:{(396,1),(398,1),(483,1),(486,1),(549,1)}
       446:{1,4,6,7}:{(396,1),(397,1),(426,1),(484,1),(486,1)}
       447:{1,3,5,7}:{(398,1),(399,1),(485,1),(486,1),(535,1)}
       448:{1,2,4}:{(400,1),(487,1)}
       449:{2,3,4}:{(403,1),(487,1),(489,1)}
       450:{2,4,5}:{(401,1),(489,1),(490,1)}
       451:{1,3,4,6}:{(401,1),(402,1),(405,1),(412,1),(490,1),(491,1),(492,1),(536,1),(539,1)}
       452:{2,3,4,7}:{(402,1),(406,1),(413,1),(491,1),(502,1),(538,1),(541,1)}
       453:{1,3,5}:{(403,1),(404,1),(489,1),(492,1)}
       454:{1,2,4,6}:{(404,1),(405,1),(407,1),(490,1),(492,1),(493,1)}
       455:{1,4,7}:{(405,1),(406,1),(408,1)}
       456:{1,2,5,7}:{(407,1),(408,1),(409,1),(493,1),(498,1)}
       457:{1,3,4,6}:{(410,1),(411,1),(470,1),(487,1),(494,1),(528,1),(536,1),(539,1)}
       458:{1,2,5}:{(410,1),(494,1)}
       459:{2,3,5}:{(411,1),(414,1),(494,1),(496,1)}
       460:{2,5,6}:{(412,1),(490,1),(498,1)}
       461:{1,3,5,7}:{(412,1),(413,1),(416,1),(473,1),(491,1),(498,1)}
       462:{1,3,4,5}:{(414,1),(417,1),(421,1),(496,1),(499,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(475,1),(492,1),(497,1),(499,1),(500,1)}
       464:{1,2,4,5,7}:{(415,1),(416,1),(419,1),(423,1),(476,1),(493,1),(498,1),(500,1),(501,1),(534,1),(541,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(424,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(425,1),(501,1)}
       467:{3,4,6}:{(421,1),(422,1),(424,1),(502,1)}
       468:{3,5,7}:{(422,1),(423,1),(482,1),(502,1)}
       469:{2,4,7}:{(424,1),(425,1),(426,1),(501,1),(502,1)}
       470:{1,3,4,7}:{(427,1),(428,1),(457,1),(503,1),(547,1),(548,1)}
       471:{1,2,5,7}:{(427,1),(458,1),(503,1),(504,1)}
       472:{2,3,5,7}:{(428,1),(430,1),(459,1),(503,1),(505,1),(506,1)}
       473:{1,3,6,7}:{(429,1),(432,1),(461,1),(507,1)}
       474:{1,3,4,5,7}:{(430,1),(433,1),(439,1),(462,1),(505,1),(508,1),(526,1),(546,1)}
       475:{1,3,6}:{(430,1),(431,1),(506,1)}
       476:{1,2,4,6,7}:{(431,1),(432,1),(435,1),(440,1),(464,1),(507,1),(509,1),(511,1),(545,1)}
       477:{1,4,6}:{(433,1),(434,1),(441,1)}
       478:{1,3,5,6,7}:{(434,1),(435,1),(437,1),(442,1),(466,1),(509,1),(511,1),(512,1),(546,1)}
       479:{1,5,6}:{(436,1),(443,1),(512,1)}
       480:{1,4,6,7}:{(436,1),(437,1),(438,1),(444,1),(512,1)}
       481:{3,4,6}:{(439,1),(441,1),(513,1)}
       482:{3,6,7}:{(440,1),(468,1)}
       483:{2,4,5,6}:{(441,1),(443,1),(445,1),(510,1),(513,1),(515,1),(544,1)}
       484:{2,4,6,7}:{(441,1),(442,1),(446,1),(469,1),(511,1),(514,1),(515,1)}
       485:{2,5,7}:{(443,1),(444,1),(447,1),(512,1)}
       486:{1,4,5,7}:{(445,1),(446,1),(447,1),(515,1),(552,1)}
       487:{1,3,4}:{(448,1),(449,1),(516,1)}
       488:{1,2,4,5}:{(448,1),(450,1),(458,1),(516,1),(517,1),(521,1)}
       489:{2,3,5}:{(449,1),(450,1),(453,1),(516,1),(518,1)}
       490:{2,4,6}:{(450,1),(451,1),(460,1),(518,1),(519,1)}
       491:{1,3,4,7}:{(451,1),(452,1),(455,1),(461,1),(519,1),(520,1),(547,1),(548,1)}
       492:{1,3,6}:{(453,1),(454,1),(518,1),(520,1)}
       493:{1,2,4,7}:{(454,1),(455,1),(456,1),(519,1),(520,1)}
       494:{1,3,5}:{(457,1),(458,1),(459,1),(521,1)}
       495:{1,2,5,6}:{(458,1),(460,1),(504,1),(517,1),(522,1),(523,1)}
       496:{2,4,5}:{(459,1),(462,1),(521,1),(524,1)}
       497:{2,3,5,6}:{(459,1),(460,1),(463,1),(506,1),(518,1),(522,1),(524,1),(525,1),(544,1)}
       498:{2,5,7}:{(460,1),(461,1),(507,1),(519,1)}
       499:{1,3,4,6}:{(462,1),(463,1),(465,1),(467,1),(524,1),(526,1)}
       500:{1,3,5,7}:{(463,1),(464,1),(468,1),(509,1),(520,1),(525,1),(526,1)}
       501:{1,4,7}:{(465,1),(466,1),(469,1)}
       502:{3,4,7}:{(467,1),(468,1),(469,1)}
       503:{1,3,5,7}:{(470,1),(471,1),(472,1),(494,1),(527,1),(528,1)}
       504:{1,2,6}:{(471,1),(528,1)}
       505:{2,4,5,7}:{(472,1),(474,1),(496,1),(527,1),(530,1),(541,1),(551,1)}
       506:{2,3,6}:{(472,1),(475,1),(528,1),(530,1)}
       507:{2,6,7}:{(473,1),(498,1)}
       508:{1,3,4,6}:{(474,1),(475,1),(477,1),(481,1),(530,1),(532,1)}
       509:{1,3,6,7}:{(475,1),(476,1),(482,1),(500,1),(531,1)}
       510:{1,4,5,6}:{(477,1),(479,1),(483,1),(532,1),(534,1)}
       511:{1,4,6,7}:{(477,1),(478,1),(484,1),(501,1),(534,1)}
       512:{1,5,7}:{(479,1),(480,1),(485,1)}
       513:{3,5,6}:{(481,1),(483,1),(535,1)}
       514:{3,4,6,7}:{(481,1),(482,1),(484,1),(502,1),(535,1)}
       515:{2,4,5,7}:{(483,1),(484,1),(485,1),(486,1),(534,1),(535,1),(551,1)}
       516:{1,3,5}:{(487,1),(488,1),(489,1),(536,1)}
       517:{1,2,4,6}:{(488,1),(490,1),(495,1),(536,1),(537,1),(539,1)}
       518:{2,3,6}:{(489,1),(490,1),(492,1),(536,1),(538,1)}
       519:{2,4,7}:{(490,1),(491,1),(498,1),(538,1)}
       520:{1,3,7}:{(492,1),(493,1),(538,1)}
       521:{1,4,5}:{(494,1),(496,1),(539,1)}
       522:{1,3,5,6}:{(494,1),(495,1),(497,1),(528,1),(536,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(495,1),(498,1),(529,1),(537,1),(540,1)}
       524:{2,4,6}:{(496,1),(497,1),(499,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(497,1),(498,1),(500,1),(531,1),(538,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(499,1),(500,1),(501,1),(502,1),(541,1)}
       527:{1,4,5,7}:{(503,1),(505,1),(521,1),(542,1),(548,1),(552,1)}
       528:{1,3,6}:{(503,1),(504,1),(506,1),(542,1)}
       529:{1,2,6,7}:{(504,1),(507,1),(523,1),(543,1)}
       530:{2,4,6}:{(505,1),(506,1),(508,1),(542,1),(544,1)}
       531:{2,3,6,7}:{(506,1),(507,1),(509,1),(525,1),(543,1),(545,1)}
       532:{1,3,5,6}:{(508,1),(510,1),(513,1),(544,1),(546,1)}
       533:{1,3,4,6,7}:{(508,1),(509,1),(511,1),(514,1),(526,1),(545,1),(546,1)}
       534:{1,4,5,7}:{(510,1),(511,1),(512,1),(515,1),(546,1)}
       535:{3,5,7}:{(513,1),(514,1),(515,1)}
       536:{1,3,6}:{(516,1),(517,1),(518,1),(547,1)}
       537:{1,2,4,7}:{(517,1),(519,1),(523,1),(547,1),(548,1)}
       538:{2,3,7}:{(518,1),(519,1),(520,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(543,1),(547,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{1,4,6}:{(527,1),(528,1),(530,1),(549,1)}
       543:{1,3,6,7}:{(528,1),(529,1),(531,1),(540,1),(550,1)}
       544:{2,5,6}:{(530,1),(532,1),(549,1),(551,1)}
       545:{2,4,6,7}:{(530,1),(531,1),(533,1),(541,1),(550,1),(551,1)}
       546:{1,3,5,7}:{(532,1),(533,1),(534,1),(535,1),(551,1)}
       547:{1,3,7}:{(536,1),(537,1),(538,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(542,1),(544,1),(552,1)}
       550:{1,4,6,7}:{(542,1),(543,1),(545,1),(548,1),(552,1)}
       551:{2,5,7}:{(544,1),(545,1),(546,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2166 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(14,1),(44,1),(48,1),(85,1),(87,1),(88,1),(90,1),(93,1),(119,1),(170,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(21,1),(27,1),(34,1),(57,1),(66,1),(68,1),(72,1),(98,1),(108,1),(111,1),(112,1),(115,1),(138,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(60,1),(103,1),(109,1),(114,1),(137,1)}
         3:{1,2,4,6,7}:{(5,1),(8,1),(9,1),(33,1),(34,1),(108,1),(138,1),(139,1),(140,1),(146,1),(164,1)}
         4:{2,3,5,6}:{(2,1),(12,1),(13,1),(41,1),(83,1),(88,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(46,1),(48,1),(93,1),(119,1),(132,1),(133,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(12,1),(15,1),(16,1),(49,1),(92,1),(118,1),(125,1),(134,1),(152,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(48,1),(86,1)}
         8:{1,3,6,7}:{(3,1),(14,1),(19,1),(52,1),(120,1),(154,1),(170,1)}
         9:{1,2,5,7}:{(3,1),(15,1),(18,1),(19,1),(125,1),(152,1),(156,1)}
        10:{1,2,4,6,7}:{(5,1),(21,1),(22,1),(56,1),(57,1),(108,1),(115,1),(116,1),(117,1),(146,1),(164,1)}
        11:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(60,1),(103,1),(107,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(66,1),(106,1),(111,1)}
        13:{2,4,6}:{(4,1),(7,1),(27,1),(28,1)}
        14:{2,3,6,7}:{(5,1),(8,1),(21,1),(29,1),(66,1),(73,1),(99,1),(146,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(26,1),(114,1),(137,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(27,1),(30,1),(34,1),(57,1),(71,1),(97,1)}
        17:{3,4,5,7}:{(7,1),(28,1),(60,1),(68,1),(109,1)}
        18:{1,2,5,6}:{(9,1),(26,1),(32,1),(33,1),(106,1),(114,1),(139,1),(145,1),(162,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(29,1),(32,1),(34,1)}
        20:{1,2,4,5,7}:{(9,1),(30,1),(33,1),(34,1),(35,1),(70,1),(71,1),(74,1),(113,1),(114,1),(140,1),(162,1),(164,1),(165,1),(173,1)}
        21:{1,3,6,7}:{(10,1),(14,1),(37,1),(77,1),(94,1),(136,1),(170,1)}
        22:{1,2,5,7}:{(10,1),(15,1),(36,1),(37,1),(125,1),(134,1),(156,1)}
        23:{2,4,5,6}:{(13,1),(39,1),(40,1),(41,1),(83,1),(86,1),(158,1)}
        24:{1,3,5,6,7}:{(11,1),(12,1),(42,1),(43,1),(81,1),(84,1),(125,1),(129,1)}
        25:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(44,1)}
        26:{2,5,6}:{(12,1),(15,1),(46,1),(132,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(46,1)}
        28:{3,4,6}:{(13,1),(17,1),(41,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(19,1),(37,1),(45,1),(48,1),(49,1),(156,1),(170,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(46,1),(48,1),(49,1),(86,1)}
        31:{1,3,4,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(53,1),(78,1),(81,1),(91,1),(92,1),(118,1),(123,1),(126,1),(155,1),(157,1),(170,1),(171,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(45,1),(51,1),(52,1),(92,1),(120,1),(152,1),(169,1)}
        33:{1,2,4,6}:{(18,1),(20,1),(46,1),(51,1),(52,1),(89,1),(93,1),(132,1),(158,1)}
        34:{1,4,7}:{(19,1),(48,1),(51,1)}
        35:{1,3,5,7}:{(20,1),(49,1),(52,1),(53,1),(54,1),(92,1),(154,1),(169,1),(170,1),(171,1)}
        36:{1,2,5,6}:{(22,1),(26,1),(55,1),(56,1),(106,1),(116,1),(137,1),(145,1),(150,1)}
        37:{1,3,5,7}:{(21,1),(22,1),(29,1),(55,1),(57,1)}
        38:{1,2,4,5,7}:{(22,1),(30,1),(56,1),(57,1),(58,1),(70,1),(97,1),(100,1),(113,1),(117,1),(137,1),(150,1),(164,1),(165,1),(168,1)}
        39:{2,4,5,7}:{(23,1),(25,1),(59,1),(60,1),(103,1),(164,1)}
        40:{1,4,5,6}:{(23,1),(27,1),(59,1),(61,1),(62,1),(71,1),(97,1),(106,1),(144,1)}
        41:{3,5,6}:{(23,1),(28,1),(60,1),(109,1),(166,1)}
        42:{2,5,6,7}:{(24,1),(26,1),(63,1),(103,1),(146,1)}
        43:{1,4,6,7}:{(24,1),(25,1),(27,1),(59,1),(63,1)}
        44:{3,4,6,7}:{(25,1),(28,1),(60,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(32,1),(55,1),(65,1),(66,1),(73,1),(99,1),(109,1),(114,1),(137,1),(145,1),(166,1),(167,1)}
        46:{2,4,6}:{(26,1),(27,1),(30,1),(66,1)}
        47:{1,3,4,6}:{(27,1),(28,1),(31,1),(62,1),(66,1),(67,1),(104,1),(111,1),(144,1),(166,1)}
        48:{2,4,7}:{(29,1),(34,1),(57,1),(65,1),(68,1)}
        49:{3,5,7}:{(30,1),(66,1),(68,1),(109,1)}
        50:{2,4,5,7}:{(31,1),(67,1),(69,1),(70,1),(74,1),(100,1),(103,1),(113,1),(114,1),(137,1),(141,1),(143,1),(164,1),(165,1)}
        51:{1,4,6}:{(32,1),(34,1),(65,1),(71,1),(173,1)}
        52:{1,3,6}:{(33,1),(35,1),(66,1),(73,1),(166,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(68,1),(72,1),(74,1),(173,1),(174,1)}
        54:{2,3,5,7}:{(35,1),(73,1),(74,1),(75,1),(113,1),(114,1),(149,1),(167,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(45,1),(76,1),(77,1),(94,1),(118,1),(134,1),(161,1)}
        56:{1,2,4,6}:{(36,1),(38,1),(46,1),(76,1),(77,1),(89,1),(119,1),(132,1),(158,1)}
        57:{1,4,7}:{(37,1),(48,1),(76,1)}
        58:{1,3,5,7}:{(38,1),(49,1),(77,1),(78,1),(79,1),(118,1),(136,1),(161,1),(170,1),(171,1)}
        59:{1,4,5,7}:{(39,1),(40,1),(43,1),(80,1),(81,1),(125,1),(155,1)}
        60:{3,5,7}:{(39,1),(41,1),(44,1),(170,1)}
        61:{2,4,5,6}:{(40,1),(46,1),(80,1),(82,1),(83,1),(86,1),(127,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(47,1),(81,1),(82,1),(83,1),(92,1),(118,1)}
        63:{2,4,6,7}:{(42,1),(43,1),(46,1),(80,1),(84,1)}
        64:{1,3,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1),(123,1),(129,1),(155,1),(170,1)}
        65:{2,4,6}:{(45,1),(48,1),(51,1),(76,1),(86,1),(87,1),(172,1)}
        66:{3,6}:{(46,1),(49,1)}
        67:{2,4,6}:{(47,1),(50,1),(83,1),(88,1),(89,1),(132,1)}
        68:{3,4,7}:{(48,1),(49,1),(87,1),(170,1)}
        69:{2,3,5,7}:{(49,1),(50,1),(88,1),(90,1),(91,1),(130,1),(170,1),(171,1)}
        70:{1,4,5,7}:{(50,1),(89,1),(91,1),(95,1),(121,1),(125,1),(134,1),(152,1),(155,1),(157,1)}
        71:{1,4,5}:{(51,1),(86,1),(92,1),(152,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(53,1),(87,1),(92,1),(93,1)}
        73:{2,3,6}:{(52,1),(54,1),(93,1),(94,1),(132,1)}
        74:{2,4,7}:{(53,1),(54,1),(93,1),(95,1),(172,1)}
        75:{1,3,5,7}:{(54,1),(94,1),(95,1),(96,1),(134,1),(136,1),(161,1)}
        76:{1,4,6}:{(55,1),(57,1),(65,1),(97,1),(168,1)}
        77:{1,3,6}:{(56,1),(58,1),(66,1),(99,1),(166,1)}
        78:{1,3,4,7}:{(57,1),(58,1),(68,1),(98,1),(100,1),(168,1),(174,1)}
        79:{2,3,5,7}:{(58,1),(99,1),(100,1),(101,1),(113,1),(137,1),(149,1),(167,1)}
        80:{2,4,5,7}:{(59,1),(61,1),(63,1),(102,1),(103,1),(141,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(62,1),(64,1),(102,1),(103,1)}
        82:{3,5,6}:{(61,1),(66,1),(102,1),(104,1),(109,1)}
        83:{2,5,6}:{(62,1),(67,1),(103,1),(106,1),(114,1),(137,1)}
        84:{3,6,7}:{(63,1),(66,1),(102,1)}
        85:{2,4,6,7}:{(64,1),(67,1),(103,1),(107,1),(108,1),(141,1),(146,1),(164,1)}
        86:{2,4,5}:{(65,1),(71,1),(97,1),(109,1),(114,1),(137,1)}
        87:{3,4,6}:{(65,1),(66,1),(68,1),(109,1),(166,1),(174,1)}
        88:{2,3,6}:{(66,1),(67,1),(69,1),(111,1),(166,1)}
        89:{1,4,6}:{(67,1),(70,1),(106,1),(111,1)}
        90:{2,3,4,7}:{(68,1),(69,1),(74,1),(100,1),(110,1),(112,1),(141,1),(149,1),(174,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(111,1),(112,1),(113,1),(147,1)}
        92:{1,3,5}:{(71,1),(72,1),(109,1),(114,1)}
        93:{2,4,6}:{(72,1),(73,1),(74,1),(114,1),(115,1)}
        94:{1,3,6}:{(73,1),(75,1),(115,1),(116,1)}
        95:{1,4,7}:{(74,1),(75,1),(115,1),(168,1)}
        96:{1,2,5,7}:{(75,1),(113,1),(116,1),(117,1),(150,1)}
        97:{1,4,5}:{(76,1),(86,1),(118,1),(134,1)}
        98:{1,3,4,6}:{(76,1),(77,1),(78,1),(87,1),(118,1),(119,1)}
        99:{2,3,6}:{(77,1),(79,1),(119,1),(120,1),(132,1)}
       100:{2,4,7}:{(78,1),(79,1),(119,1),(121,1),(172,1)}
       101:{1,3,5,7}:{(79,1),(120,1),(121,1),(122,1),(152,1),(154,1),(169,1)}
       102:{3,5,7}:{(80,1),(82,1),(84,1),(123,1)}
       103:{2,5,7}:{(81,1),(83,1),(85,1),(125,1)}
       104:{3,4,6}:{(82,1),(123,1),(126,1),(127,1)}
       105:{2,3,5,6}:{(82,1),(83,1),(88,1),(124,1),(127,1),(128,1),(130,1)}
       106:{1,5,6}:{(83,1),(89,1),(125,1),(134,1),(152,1)}
       107:{2,3,6,7}:{(84,1),(85,1),(88,1),(124,1),(129,1),(170,1)}
       108:{1,4,6,7}:{(85,1),(89,1),(125,1),(129,1),(155,1)}
       109:{3,5}:{(86,1),(87,1)}
       110:{2,3,4,6}:{(87,1),(88,1),(90,1),(93,1),(119,1),(127,1),(130,1),(131,1),(160,1),(172,1)}
       111:{1,3,6}:{(88,1),(89,1),(91,1),(132,1)}
       112:{1,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(131,1),(133,1),(136,1),(154,1),(155,1),(170,1)}
       113:{2,5,7}:{(91,1),(132,1),(133,1),(159,1)}
       114:{2,5}:{(92,1),(93,1),(134,1)}
       115:{1,4,6}:{(93,1),(94,1),(95,1),(134,1)}
       116:{1,2,6}:{(94,1),(96,1),(132,1)}
       117:{1,2,4,7}:{(95,1),(96,1),(133,1),(135,1),(136,1)}
       118:{1,3,5}:{(97,1),(98,1),(109,1),(137,1)}
       119:{2,4,6}:{(98,1),(99,1),(100,1),(137,1),(138,1)}
       120:{1,3,6}:{(99,1),(101,1),(138,1),(139,1)}
       121:{1,4,7}:{(100,1),(101,1),(138,1),(173,1)}
       122:{1,2,5,7}:{(101,1),(113,1),(139,1),(140,1),(162,1)}
       123:{3,4,7}:{(102,1),(104,1),(141,1)}
       124:{2,3,5,7}:{(102,1),(103,1),(105,1),(107,1),(141,1),(142,1)}
       125:{1,5,7}:{(103,1),(106,1),(108,1)}
       126:{3,4,5}:{(104,1),(109,1),(143,1),(174,1)}
       127:{2,4,6}:{(104,1),(105,1),(141,1),(143,1),(144,1)}
       128:{1,3,5,6}:{(105,1),(106,1),(111,1),(142,1),(144,1),(145,1),(147,1),(166,1)}
       129:{1,3,6,7}:{(107,1),(108,1),(111,1),(142,1),(146,1)}
       130:{2,3,5}:{(109,1),(110,1),(114,1),(137,1),(143,1),(147,1)}
       131:{1,3,4,6}:{(110,1),(111,1),(112,1),(115,1),(138,1),(144,1),(147,1),(148,1),(151,1),(163,1),(166,1),(168,1),(173,1),(174,1)}
       132:{2,6}:{(111,1),(113,1)}
       133:{2,4,7}:{(112,1),(113,1),(148,1),(149,1)}
       134:{1,5}:{(114,1),(115,1)}
       135:{1,2,4,6}:{(115,1),(116,1),(117,1),(148,1),(150,1),(151,1),(168,1)}
       136:{1,3,7}:{(117,1),(149,1),(151,1)}
       137:{2,5}:{(118,1),(119,1),(152,1)}
       138:{1,4,6}:{(119,1),(120,1),(121,1),(152,1)}
       139:{1,2,6}:{(120,1),(122,1),(132,1)}
       140:{1,2,4,7}:{(121,1),(122,1),(133,1),(153,1),(154,1)}
       141:{2,4,7}:{(123,1),(124,1),(127,1),(155,1)}
       142:{1,3,5,7}:{(124,1),(125,1),(128,1),(129,1),(155,1),(156,1),(170,1)}
       143:{2,4,5}:{(126,1),(127,1),(130,1),(157,1),(172,1)}
       144:{1,4,6}:{(127,1),(128,1),(155,1),(157,1),(158,1)}
       145:{2,5,6}:{(128,1),(132,1),(156,1),(158,1),(159,1)}
       146:{2,6,7}:{(129,1),(132,1),(156,1)}
       147:{1,3,5}:{(130,1),(131,1),(134,1),(152,1),(157,1),(159,1),(171,1)}
       148:{2,4,6}:{(131,1),(132,1),(133,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(136,1),(154,1),(160,1),(170,1)}
       150:{1,2,5}:{(134,1),(135,1),(159,1),(161,1)}
       151:{1,3,6}:{(135,1),(136,1),(160,1),(161,1)}
       152:{1,5}:{(137,1),(138,1)}
       153:{1,2,4,6}:{(138,1),(139,1),(140,1),(148,1),(162,1),(163,1),(173,1)}
       154:{1,3,7}:{(140,1),(149,1),(163,1)}
       155:{1,4,7}:{(141,1),(142,1),(144,1),(164,1)}
       156:{2,5,7}:{(142,1),(145,1),(146,1),(164,1)}
       157:{1,4,5}:{(143,1),(144,1),(147,1),(165,1),(168,1),(173,1)}
       158:{2,4,6}:{(144,1),(145,1),(164,1),(165,1),(166,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(151,1),(163,1),(166,1),(167,1)}
       161:{1,3,5}:{(150,1),(151,1),(167,1),(168,1)}
       162:{1,2,5}:{(152,1),(153,1),(159,1),(169,1)}
       163:{1,3,6}:{(153,1),(154,1),(160,1),(169,1)}
       164:{2,4,7}:{(155,1),(156,1),(158,1),(170,1)}
       165:{2,4,5}:{(157,1),(158,1),(159,1),(171,1),(172,1)}
       166:{3,6}:{(158,1),(170,1),(171,1)}
       167:{2,3,5}:{(159,1),(160,1),(161,1),(169,1),(171,1),(172,1)}
       168:{1,4}:{(161,1),(172,1)}
       169:{1,3,5}:{(162,1),(163,1),(167,1),(173,1)}
       170:{3,7}:{(164,1),(166,1)}
       171:{3,5}:{(165,1),(166,1),(174,1)}
       172:{2,4}:{(167,1),(168,1),(173,1),(174,1)}
       173:{1,4}:{(169,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2167 :   0:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(27,1),(55,1),(56,1),(65,1),(66,1),(67,1),(103,1),(144,1),(149,1),(181,1),(182,1),(186,1)}
         1:{1,3,5,6}:{(0,1),(3,1),(4,1),(5,1),(38,1),(76,1),(80,1),(169,1),(202,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(18,1),(44,1),(50,1),(51,1),(77,1),(79,1),(124,1),(131,1),(165,1)}
         3:{1,3,4,6}:{(1,1),(7,1),(8,1),(9,1),(182,1),(187,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(24,1),(56,1),(58,1),(59,1),(66,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(99,1),(152,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(32,1),(37,1),(65,1),(103,1),(149,1)}
         7:{1,3,4,5}:{(3,1),(15,1),(38,1),(86,1),(197,1),(202,1)}
         8:{2,4,6}:{(3,1),(4,1),(15,1),(17,1),(18,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(18,1),(165,1),(171,1)}
        10:{1,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(38,1),(47,1),(80,1),(89,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(50,1),(79,1),(82,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(22,1),(80,1),(169,1)}
        13:{1,2,5,6,7}:{(6,1),(23,1),(50,1),(89,1),(124,1),(127,1),(180,1)}
        14:{2,3,4,6}:{(8,1),(24,1),(25,1),(26,1),(58,1),(59,1),(101,1),(147,1),(187,1)}
        15:{2,4,5}:{(7,1),(8,1),(24,1),(27,1),(56,1),(101,1)}
        16:{1,3,4,5,7}:{(7,1),(9,1),(28,1),(29,1),(33,1),(57,1),(108,1),(109,1),(110,1),(152,1),(154,1)}
        17:{1,4,6}:{(8,1),(10,1),(27,1),(31,1)}
        18:{2,4,7}:{(8,1),(9,1),(11,1),(31,1)}
        19:{1,3,4,6,7}:{(9,1),(12,1),(29,1),(32,1),(33,1),(37,1),(74,1)}
        20:{1,2,5,6}:{(10,1),(30,1),(34,1),(56,1),(103,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1),(68,1),(70,1)}
        22:{2,3,6,7}:{(11,1),(12,1),(32,1),(35,1),(58,1),(103,1)}
        23:{1,3,5,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(104,1),(145,1),(160,1),(161,1)}
        24:{2,3,5}:{(14,1),(15,1),(38,1),(167,1),(202,1)}
        25:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(47,1),(76,1),(80,1),(86,1),(120,1),(162,1)}
        26:{2,3,4,7}:{(14,1),(18,1),(39,1),(41,1),(82,1),(125,1),(171,1)}
        27:{1,4,5}:{(15,1),(17,1),(38,1),(120,1)}
        28:{2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(50,1),(79,1),(125,1),(167,1)}
        29:{1,3,4,6}:{(16,1),(45,1),(46,1),(80,1),(128,1),(129,1),(169,1)}
        30:{1,2,4,6}:{(17,1),(20,1),(40,1),(43,1),(47,1),(48,1)}
        31:{1,4,7}:{(17,1),(18,1),(21,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,5,7}:{(19,1),(46,1),(50,1),(51,1),(94,1)}
        34:{1,2,5,7}:{(20,1),(21,1),(48,1),(52,1),(79,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(49,1),(52,1),(80,1)}
        36:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(53,1),(54,1),(81,1),(94,1),(127,1),(130,1),(139,1),(140,1),(169,1)}
        37:{1,4,6,7}:{(23,1),(51,1),(54,1),(128,1),(165,1)}
        38:{1,3,5}:{(24,1),(25,1),(27,1),(56,1),(181,1)}
        39:{2,3,5,7}:{(24,1),(26,1),(28,1),(57,1),(58,1),(152,1)}
        40:{2,4,6}:{(25,1),(56,1),(59,1),(60,1),(101,1),(103,1)}
        41:{1,3,4,7}:{(25,1),(26,1),(31,1),(57,1),(60,1),(68,1),(99,1),(142,1)}
        42:{2,3,4,6,7}:{(26,1),(32,1),(58,1),(61,1),(62,1),(74,1),(105,1),(106,1),(119,1),(147,1),(151,1),(187,1),(188,1),(190,1),(212,1)}
        43:{1,2,4,5}:{(27,1),(30,1),(56,1),(63,1),(101,1)}
        44:{1,4,5,7}:{(27,1),(28,1),(31,1),(57,1),(65,1),(70,1),(142,1),(181,1)}
        45:{2,4,6}:{(28,1),(29,1),(58,1),(65,1),(66,1),(103,1)}
        46:{1,3,5,6}:{(29,1),(33,1),(66,1),(67,1),(114,1),(154,1)}
        47:{1,3,6}:{(30,1),(59,1),(63,1),(68,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(34,1),(60,1),(68,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(35,1),(65,1),(70,1)}
        50:{2,5,7}:{(32,1),(33,1),(66,1),(70,1)}
        51:{1,4,5,7}:{(33,1),(37,1),(67,1),(71,1),(160,1)}
        52:{1,2,6,7}:{(34,1),(35,1),(103,1)}
        53:{1,3,5,6,7}:{(35,1),(36,1),(70,1),(72,1),(73,1),(104,1),(115,1),(117,1),(118,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(73,1),(74,1),(105,1),(149,1),(151,1)}
        55:{1,2,4,6}:{(40,1),(75,1),(76,1),(77,1),(120,1),(122,1),(162,1)}
        56:{2,5}:{(38,1),(40,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(41,1),(44,1),(79,1),(80,1)}
        58:{2,3,6}:{(39,1),(45,1),(80,1),(169,1)}
        59:{2,3,6}:{(40,1),(47,1),(76,1),(78,1),(82,1)}
        60:{2,4,7}:{(40,1),(41,1),(79,1),(82,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(49,1),(80,1),(83,1),(84,1),(91,1),(123,1),(128,1),(133,1),(137,1),(141,1),(162,1),(165,1),(169,1),(171,1),(198,1),(204,1),(205,1),(224,1)}
        62:{2,3,5,7}:{(42,1),(50,1),(81,1),(84,1),(85,1),(94,1),(139,1),(167,1),(202,1),(223,1)}
        63:{1,3,5}:{(43,1),(47,1),(78,1),(86,1)}
        64:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(92,1),(125,1),(131,1),(137,1),(167,1),(174,1)}
        65:{1,4,6}:{(44,1),(45,1),(80,1),(89,1)}
        66:{2,5,6}:{(45,1),(46,1),(50,1),(89,1),(167,1)}
        67:{1,4,5,6}:{(46,1),(51,1),(90,1),(128,1),(174,1),(177,1)}
        68:{1,3,7}:{(47,1),(48,1),(82,1)}
        69:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(83,1),(88,1),(91,1),(92,1),(137,1),(224,1),(225,1),(226,1)}
        70:{1,5,7}:{(49,1),(50,1),(89,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(90,1),(93,1),(94,1),(139,1)}
        72:{1,2,5,6,7}:{(52,1),(53,1),(92,1),(95,1),(127,1),(139,1),(177,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(93,1),(128,1),(137,1)}
        74:{3,4,6,7}:{(54,1),(94,1),(129,1),(169,1),(171,1)}
        75:{1,2,5}:{(55,1),(56,1),(97,1),(181,1)}
        76:{1,3,6}:{(55,1),(59,1),(97,1),(99,1)}
        77:{1,2,4,7}:{(55,1),(60,1),(98,1),(99,1),(142,1)}
        78:{2,3,5}:{(56,1),(59,1),(63,1),(97,1),(101,1)}
        79:{2,5,7}:{(56,1),(57,1),(60,1),(103,1)}
        80:{1,3,6}:{(57,1),(58,1),(65,1),(103,1)}
        81:{2,3,5,6}:{(58,1),(62,1),(66,1),(104,1),(105,1),(114,1),(157,1),(188,1)}
        82:{2,3,7}:{(59,1),(60,1),(68,1),(99,1)}
        83:{2,4,6,7}:{(60,1),(61,1),(103,1),(106,1),(107,1),(147,1),(149,1),(151,1),(212,1),(218,1),(219,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(70,1),(104,1),(107,1),(108,1),(152,1),(154,1),(160,1),(181,1),(211,1),(232,1)}
        85:{2,4,5,7}:{(62,1),(105,1),(108,1),(109,1),(151,1),(186,1)}
        86:{1,3,4}:{(63,1),(101,1)}
        87:{1,3,5,7}:{(63,1),(64,1),(68,1),(102,1),(110,1),(111,1),(152,1),(154,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(103,1),(111,1),(112,1),(147,1),(149,1),(155,1)}
        89:{1,5,6}:{(65,1),(66,1),(70,1),(181,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(71,1),(105,1),(113,1),(114,1),(149,1),(157,1),(186,1)}
        91:{1,3,6,7}:{(68,1),(69,1),(106,1),(111,1),(115,1),(213,1),(234,1)}
        92:{1,2,5,7}:{(69,1),(70,1),(107,1),(112,1),(115,1),(232,1)}
        93:{1,4,5,7}:{(70,1),(71,1),(73,1),(113,1),(117,1)}
        94:{3,5,7}:{(71,1),(74,1),(114,1)}
        95:{1,2,4,6,7}:{(72,1),(73,1),(116,1),(118,1),(119,1),(149,1),(189,1),(218,1)}
        96:{1,3,4,6,7}:{(73,1),(74,1),(117,1),(118,1),(119,1),(150,1),(158,1)}
        97:{1,3,5}:{(75,1),(76,1),(78,1),(120,1)}
        98:{1,2,5,7}:{(75,1),(77,1),(79,1),(121,1),(122,1)}
        99:{1,3,7}:{(76,1),(77,1),(82,1)}
       100:{1,2,4,6,7}:{(77,1),(83,1),(122,1),(123,1),(124,1),(141,1),(162,1),(164,1),(165,1),(180,1),(210,1)}
       101:{2,4}:{(78,1),(86,1),(120,1)}
       102:{2,3,5,7}:{(78,1),(79,1),(82,1),(87,1),(121,1),(125,1),(126,1),(167,1)}
       103:{2,6}:{(79,1),(80,1)}
       104:{1,3,5,6}:{(80,1),(81,1),(84,1),(89,1),(127,1),(128,1),(169,1),(177,1),(204,1)}
       105:{2,4,6}:{(81,1),(85,1),(128,1),(129,1)}
       106:{2,3,6,7}:{(82,1),(83,1),(91,1),(123,1),(126,1),(130,1),(169,1),(199,1),(229,1)}
       107:{2,5,7}:{(83,1),(84,1),(127,1),(167,1),(223,1)}
       108:{1,4,5,7}:{(84,1),(85,1),(128,1),(131,1),(137,1),(165,1),(174,1),(197,1)}
       109:{3,4,5,7}:{(85,1),(94,1),(129,1),(171,1),(202,1)}
       110:{1,3,4,7}:{(86,1),(87,1),(125,1),(133,1),(137,1),(171,1)}
       111:{1,3,6}:{(87,1),(88,1),(126,1),(169,1)}
       112:{1,2,5,6}:{(88,1),(89,1),(92,1),(127,1),(134,1),(167,1),(225,1)}
       113:{1,4,5,6}:{(89,1),(90,1),(93,1),(128,1),(136,1),(197,1)}
       114:{3,5,6}:{(90,1),(94,1),(129,1),(169,1),(202,1)}
       115:{1,3,5,7}:{(91,1),(92,1),(130,1),(134,1),(137,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(131,1),(135,1),(137,1),(138,1),(139,1),(173,1),(178,1),(206,1),(226,1)}
       117:{1,3,5,7}:{(93,1),(94,1),(96,1),(136,1),(139,1)}
       118:{1,3,6,7}:{(95,1),(138,1),(140,1),(169,1),(204,1)}
       119:{2,4,6,7}:{(96,1),(139,1),(140,1),(141,1),(170,1),(178,1)}
       120:{1,4}:{(97,1),(101,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(143,1),(181,1)}
       122:{1,2,6}:{(98,1),(103,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(106,1),(143,1),(145,1),(183,1),(222,1)}
       124:{1,2,5,7}:{(100,1),(107,1),(144,1),(145,1),(160,1),(181,1)}
       125:{2,4,7}:{(101,1),(102,1),(110,1),(142,1),(147,1)}
       126:{2,3,6}:{(102,1),(103,1),(111,1),(143,1),(147,1)}
       127:{2,5,6}:{(103,1),(104,1),(107,1),(149,1),(218,1)}
       128:{1,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       129:{3,4,6}:{(105,1),(109,1),(114,1)}
       130:{2,3,5,7}:{(106,1),(107,1),(115,1),(145,1),(148,1),(151,1),(152,1)}
       131:{2,4,5,7}:{(107,1),(108,1),(149,1),(151,1),(152,1),(186,1)}
       132:{1,3,4,5,7}:{(108,1),(109,1),(117,1),(150,1),(152,1),(153,1),(158,1),(184,1),(191,1),(192,1),(211,1)}
       133:{1,3,4,6}:{(110,1),(111,1),(147,1),(154,1),(155,1),(187,1)}
       134:{1,3,5,6}:{(111,1),(112,1),(115,1),(148,1),(154,1),(155,1),(213,1),(232,1)}
       135:{1,2,4,5,6}:{(112,1),(113,1),(116,1),(149,1),(155,1),(156,1),(157,1),(186,1),(189,1),(193,1),(218,1),(220,1),(232,1),(233,1),(235,1)}
       136:{1,3,5,6}:{(113,1),(114,1),(117,1),(150,1),(157,1),(211,1)}
       137:{1,4,7}:{(115,1),(151,1),(155,1)}
       138:{1,3,5,7}:{(116,1),(118,1),(152,1),(156,1),(158,1),(159,1),(234,1)}
       139:{2,5,7}:{(117,1),(119,1),(157,1),(160,1)}
       140:{2,3,6,7}:{(118,1),(119,1),(159,1),(161,1),(188,1),(218,1)}
       141:{1,4,6,7}:{(119,1),(160,1),(161,1),(189,1),(195,1)}
       142:{1,4,7}:{(120,1),(121,1),(125,1),(162,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1),(162,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(127,1),(163,1),(164,1),(177,1),(223,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(130,1),(163,1),(165,1)}
       146:{1,2,4,5,7}:{(124,1),(131,1),(164,1),(165,1),(166,1),(173,1),(197,1),(200,1),(206,1),(210,1),(223,1),(230,1)}
       147:{2,4,6}:{(125,1),(126,1),(133,1),(162,1),(167,1)}
       148:{2,3,5,6}:{(126,1),(127,1),(130,1),(134,1),(163,1),(167,1),(168,1),(169,1),(199,1),(202,1),(223,1)}
       149:{2,4,6}:{(127,1),(128,1),(131,1),(169,1)}
       150:{1,3,4,6}:{(128,1),(129,1),(132,1),(136,1),(169,1),(170,1),(204,1)}
       151:{2,4,7}:{(130,1),(137,1),(165,1),(168,1),(171,1)}
       152:{3,5,7}:{(131,1),(169,1),(171,1),(202,1)}
       153:{2,4,5,7}:{(132,1),(139,1),(170,1),(172,1),(173,1),(178,1),(200,1),(206,1),(207,1),(223,1)}
       154:{1,3,5}:{(133,1),(167,1),(174,1),(202,1)}
       155:{1,4,6}:{(134,1),(137,1),(168,1),(174,1)}
       156:{1,3,5,6}:{(135,1),(138,1),(169,1),(175,1),(176,1),(202,1),(204,1),(227,1),(239,1)}
       157:{2,5,6}:{(136,1),(139,1),(170,1),(177,1),(223,1)}
       158:{1,3,4,7}:{(137,1),(138,1),(171,1),(175,1),(178,1)}
       159:{2,3,5,7}:{(138,1),(139,1),(140,1),(176,1),(178,1),(179,1),(206,1),(229,1)}
       160:{1,5,7}:{(139,1),(141,1),(177,1)}
       161:{1,3,6,7}:{(140,1),(141,1),(179,1),(180,1),(204,1)}
       162:{1,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       163:{1,3,5,6}:{(143,1),(144,1),(145,1),(148,1),(181,1),(182,1),(183,1),(211,1)}
       164:{1,2,4,6}:{(144,1),(146,1),(149,1),(182,1),(183,1),(189,1),(212,1),(218,1)}
       165:{1,4,7}:{(145,1),(151,1),(182,1)}
       166:{1,3,5,7}:{(146,1),(152,1),(183,1),(184,1),(185,1),(211,1),(222,1),(237,1)}
       167:{2,5}:{(147,1),(154,1),(181,1)}
       168:{2,4,6}:{(148,1),(151,1),(155,1),(182,1),(186,1),(187,1)}
       169:{3,6}:{(149,1),(152,1)}
       170:{2,4,6}:{(150,1),(153,1),(157,1),(188,1),(189,1),(218,1)}
       171:{3,4,7}:{(151,1),(152,1),(187,1)}
       172:{2,3,5,7}:{(152,1),(153,1),(188,1),(190,1),(191,1),(216,1)}
       173:{1,4,5,7}:{(153,1),(160,1),(189,1),(191,1),(195,1),(214,1),(220,1),(232,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1),(232,1)}
       175:{1,3,4,6}:{(155,1),(156,1),(158,1),(187,1),(192,1),(193,1)}
       176:{2,3,5,6}:{(156,1),(157,1),(159,1),(188,1),(193,1),(194,1),(216,1),(218,1),(235,1),(236,1)}
       177:{1,5,6}:{(157,1),(160,1),(189,1),(232,1)}
       178:{2,4,7}:{(158,1),(159,1),(193,1),(195,1)}
       179:{1,3,5,7}:{(159,1),(160,1),(161,1),(194,1),(195,1),(196,1),(222,1)}
       180:{1,2,6,7}:{(161,1),(196,1),(218,1)}
       181:{1,5}:{(162,1),(167,1)}
       182:{1,4,6}:{(163,1),(165,1),(168,1),(197,1)}
       183:{1,3,6}:{(164,1),(166,1),(169,1),(199,1)}
       184:{1,3,4,7}:{(165,1),(166,1),(171,1),(198,1),(200,1),(241,1)}
       185:{2,3,5,7}:{(166,1),(199,1),(200,1),(201,1),(206,1),(223,1),(229,1),(240,1)}
       186:{2,4,5}:{(167,1),(168,1),(174,1),(197,1),(202,1),(223,1)}
       187:{3,4,6}:{(168,1),(169,1),(171,1),(202,1)}
       188:{2,3,6}:{(169,1),(170,1),(172,1),(204,1)}
       189:{1,4,6}:{(170,1),(173,1),(177,1),(204,1)}
       190:{2,3,4,7}:{(171,1),(172,1),(178,1),(200,1),(203,1),(205,1),(229,1)}
       191:{1,3,5,7}:{(172,1),(173,1),(204,1),(205,1),(206,1),(227,1)}
       192:{1,3,4,5}:{(174,1),(175,1),(202,1),(207,1),(227,1),(241,1)}
       193:{2,4,6}:{(175,1),(176,1),(178,1),(207,1),(208,1)}
       194:{1,3,5,6}:{(176,1),(177,1),(179,1),(204,1),(208,1),(209,1),(227,1),(231,1)}
       195:{1,4,7}:{(178,1),(179,1),(208,1)}
       196:{1,2,5,7}:{(179,1),(180,1),(206,1),(209,1),(210,1)}
       197:{1,4,5}:{(181,1),(182,1),(186,1),(211,1)}
       198:{1,3,4,6}:{(182,1),(183,1),(184,1),(187,1),(211,1),(212,1)}
       199:{2,3,6}:{(183,1),(185,1),(212,1),(213,1),(218,1)}
       200:{2,4,7}:{(184,1),(185,1),(212,1),(214,1),(243,1)}
       201:{1,3,5,7}:{(185,1),(213,1),(214,1),(215,1),(232,1),(234,1),(242,1)}
       202:{3,5}:{(186,1),(187,1)}
       203:{2,3,4,6}:{(187,1),(188,1),(190,1),(193,1),(212,1),(216,1),(217,1),(236,1),(243,1)}
       204:{1,3,6}:{(188,1),(189,1),(191,1),(218,1)}
       205:{1,3,4,7}:{(190,1),(191,1),(195,1),(214,1),(217,1),(219,1),(222,1),(234,1)}
       206:{2,5,7}:{(191,1),(218,1),(219,1),(235,1)}
       207:{2,4,5}:{(192,1),(193,1),(216,1),(220,1),(235,1),(243,1)}
       208:{1,4,6}:{(193,1),(194,1),(195,1),(220,1)}
       209:{1,2,5,6}:{(194,1),(196,1),(218,1),(221,1),(235,1)}
       210:{1,2,4,7}:{(195,1),(196,1),(219,1),(221,1),(222,1)}
       211:{1,3,5}:{(197,1),(198,1),(202,1),(223,1)}
       212:{2,4,6}:{(198,1),(199,1),(200,1),(223,1),(224,1)}
       213:{1,3,6}:{(199,1),(201,1),(224,1),(225,1)}
       214:{1,4,7}:{(200,1),(201,1),(224,1),(244,1)}
       215:{1,2,5,7}:{(201,1),(206,1),(225,1),(226,1),(238,1)}
       216:{2,3,5}:{(202,1),(203,1),(207,1),(223,1),(227,1)}
       217:{1,3,4,6}:{(203,1),(204,1),(205,1),(208,1),(224,1),(227,1),(228,1),(231,1),(239,1),(241,1),(244,1)}
       218:{2,6}:{(204,1),(206,1)}
       219:{2,4,7}:{(205,1),(206,1),(228,1),(229,1)}
       220:{1,4,5}:{(207,1),(208,1),(227,1),(244,1)}
       221:{1,2,4,6}:{(208,1),(209,1),(210,1),(228,1),(230,1),(231,1)}
       222:{1,3,7}:{(210,1),(229,1),(231,1)}
       223:{2,5}:{(211,1),(212,1),(232,1)}
       224:{1,4,6}:{(212,1),(213,1),(214,1),(232,1)}
       225:{1,2,6}:{(213,1),(215,1),(218,1)}
       226:{1,2,4,7}:{(214,1),(215,1),(219,1),(233,1),(234,1)}
       227:{1,3,5}:{(216,1),(217,1),(220,1),(232,1),(235,1)}
       228:{2,4,6}:{(217,1),(218,1),(219,1),(235,1),(236,1),(243,1)}
       229:{2,3,7}:{(219,1),(222,1),(234,1),(236,1)}
       230:{1,2,4,5}:{(220,1),(221,1),(235,1),(237,1),(243,1)}
       231:{1,3,6}:{(221,1),(222,1),(236,1),(237,1)}
       232:{1,5}:{(223,1),(224,1)}
       233:{1,2,4,6}:{(224,1),(225,1),(226,1),(228,1),(238,1),(239,1),(244,1)}
       234:{1,3,7}:{(226,1),(229,1),(239,1)}
       235:{2,5}:{(227,1),(228,1)}
       236:{2,3,6}:{(228,1),(229,1),(231,1),(239,1),(240,1)}
       237:{1,3,5}:{(230,1),(231,1),(240,1),(241,1)}
       238:{1,2,5}:{(232,1),(233,1),(235,1),(242,1)}
       239:{1,3,6}:{(233,1),(234,1),(236,1),(242,1)}
       240:{2,3,5}:{(235,1),(236,1),(237,1),(242,1),(243,1)}
       241:{1,3,4}:{(237,1),(243,1)}
       242:{1,3,5}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{1,4}:{(242,1),(243,1)}

2168 :   0:{1,4,5,6,7}:{(2,1),(3,1),(48,1),(52,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(18,1),(25,1),(57,1),(69,1),(120,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(28,1),(31,1),(80,1),(151,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(52,1),(179,1)}
         7:{3,5,6,7}:{(2,1),(15,1),(113,1),(191,1)}
         8:{2,3,4,5}:{(17,1),(20,1),(125,1),(135,1),(200,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(21,1),(52,1),(62,1),(113,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(25,1),(120,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(27,1),(28,1),(216,1)}
        15:{3,4,6,7}:{(7,1),(30,1),(31,1)}
        16:{2,3,5,6,7}:{(7,1),(10,1),(28,1),(31,1),(32,1),(39,1),(71,1),(77,1)}
        17:{2,3,4,6}:{(8,1),(12,1),(33,1),(34,1),(99,1),(154,1),(159,1)}
        18:{3,4,5,6}:{(30,1),(35,1),(231,1),(289,1)}
        19:{2,3,4,5,7}:{(8,1),(33,1),(36,1),(37,1),(76,1),(77,1),(136,1),(162,1),(170,1),(227,1),(274,1),(283,1),(290,1),(309,1)}
        20:{1,3,4,5}:{(8,1),(34,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(33,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(34,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(83,1),(86,1),(99,1),(157,1),(168,1),(172,1),(235,1),(237,1),(242,1),(243,1),(288,1),(290,1),(310,1)}
        27:{1,3,4,6,7}:{(14,1),(15,1),(46,1),(47,1),(52,1),(103,1),(113,1)}
        28:{2,5,6,7}:{(14,1),(47,1),(48,1),(250,1)}
        29:{1,3,4,5,6}:{(18,1),(46,1),(49,1),(57,1),(107,1),(120,1),(183,1),(251,1)}
        30:{3,4,5,7}:{(15,1),(18,1),(50,1),(191,1),(299,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(50,1),(52,1)}
        32:{1,3,5,6,7}:{(16,1),(22,1),(48,1),(52,1),(53,1),(62,1),(103,1),(110,1),(113,1)}
        33:{2,3,4,7}:{(17,1),(23,1),(54,1),(132,1),(188,1),(193,1)}
        34:{1,3,4,6}:{(17,1),(20,1),(25,1),(54,1),(55,1),(117,1),(134,1)}
        35:{2,4,5,6}:{(18,1),(50,1),(56,1),(57,1),(267,1)}
        36:{2,3,4,6}:{(19,1),(56,1),(58,1),(201,1),(209,1),(261,1),(267,1),(295,1),(313,1)}
        37:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(58,1),(59,1),(109,1),(110,1),(123,1),(173,1),(188,1),(200,1),(208,1),(259,1),(268,1),(294,1)}
        38:{2,4,5}:{(20,1),(55,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(113,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(53,1),(63,1),(64,1),(176,1),(186,1),(206,1),(270,1),(302,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(54,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(115,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(265,1),(300,1)}
        44:{2,5,6}:{(25,1),(55,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(117,1),(120,1),(197,1),(266,1),(303,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(29,1),(30,1),(70,1),(78,1),(137,1),(147,1),(213,1),(216,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(70,1),(71,1),(72,1),(139,1)}
        48:{1,5,6,7}:{(28,1),(72,1),(276,1)}
        49:{2,4,5,6}:{(29,1),(70,1),(74,1),(75,1),(143,1),(221,1),(277,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(35,1),(77,1),(78,1),(283,1)}
        51:{2,3,4,6,7}:{(31,1),(33,1),(36,1),(39,1),(71,1),(77,1),(79,1),(136,1),(150,1),(166,1),(215,1),(228,1),(283,1)}
        52:{1,4,6,7}:{(31,1),(32,1),(78,1),(80,1)}
        53:{2,5,6,7}:{(32,1),(80,1),(92,1),(139,1),(146,1)}
        54:{1,3,4,7}:{(33,1),(34,1),(42,1),(82,1),(152,1),(169,1)}
        55:{2,4,6}:{(34,1),(38,1),(44,1),(82,1),(84,1)}
        56:{2,3,5,6}:{(35,1),(36,1),(77,1),(85,1),(231,1),(242,1),(277,1)}
        57:{1,4,5,6}:{(35,1),(78,1),(85,1),(86,1),(237,1)}
        58:{1,3,4,6}:{(36,1),(37,1),(85,1),(87,1),(159,1),(160,1),(237,1),(243,1),(307,1)}
        59:{2,4,5,7}:{(37,1),(38,1),(82,1),(87,1),(89,1),(145,1),(146,1),(210,1),(226,1),(238,1)}
        60:{1,2,4,5}:{(38,1),(83,1),(90,1),(164,1),(172,1),(235,1)}
        61:{2,3,5}:{(38,1),(84,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(80,1),(92,1),(93,1),(94,1),(166,1),(243,1),(288,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(81,1),(93,1),(94,1),(167,1),(214,1),(225,1),(276,1),(287,1)}
        65:{2,5,7}:{(42,1),(44,1),(82,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(152,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(83,1),(95,1),(98,1),(235,1),(288,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(84,1),(96,1),(98,1),(99,1),(154,1),(156,1),(234,1),(235,1),(242,1),(288,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(159,1),(237,1),(289,1)}
        70:{2,4,5,7}:{(46,1),(47,1),(49,1),(101,1),(102,1),(174,1),(247,1),(250,1)}
        71:{2,3,6,7}:{(47,1),(101,1),(103,1),(113,1)}
        72:{1,4,6,7}:{(47,1),(48,1),(102,1),(103,1)}
        73:{1,2,5,6,7}:{(48,1),(53,1),(104,1),(105,1),(127,1),(186,1),(250,1),(296,1),(302,1)}
        74:{2,3,5,6}:{(49,1),(101,1),(106,1),(107,1),(120,1)}
        75:{1,4,5,6}:{(49,1),(102,1),(107,1),(254,1),(296,1)}
        76:{2,3,4,5}:{(106,1),(109,1),(200,1),(255,1),(256,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(56,1),(110,1),(191,1),(206,1),(250,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(57,1),(110,1),(111,1),(259,1)}
        79:{1,3,4,6,7}:{(51,1),(52,1),(54,1),(58,1),(62,1),(103,1),(110,1),(112,1),(113,1),(173,1),(188,1),(189,1),(205,1),(249,1),(259,1)}
        80:{2,4,6,7}:{(52,1),(53,1),(111,1),(113,1)}
        81:{2,3,5,6,7}:{(53,1),(64,1),(105,1),(113,1),(114,1),(128,1),(177,1),(187,1),(191,1),(206,1),(250,1),(258,1),(264,1),(302,1),(313,1)}
        82:{2,4,7}:{(54,1),(55,1),(65,1),(116,1)}
        83:{1,2,4,6}:{(55,1),(60,1),(67,1),(115,1),(117,1),(134,1),(196,1)}
        84:{2,3,6}:{(55,1),(61,1),(116,1),(117,1)}
        85:{1,3,5,6}:{(56,1),(57,1),(58,1),(110,1),(119,1),(120,1),(270,1),(296,1)}
        86:{2,4,5,6}:{(57,1),(111,1),(119,1),(120,1),(199,1)}
        87:{2,4,6}:{(58,1),(59,1),(119,1),(122,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(115,1),(121,1),(123,1),(184,1),(186,1),(204,1),(208,1),(244,1),(259,1),(265,1),(268,1),(269,1),(294,1),(300,1),(311,1)}
        89:{2,3,5,7}:{(59,1),(61,1),(116,1),(122,1),(123,1),(124,1),(185,1),(203,1),(245,1)}
        90:{1,3,5}:{(60,1),(61,1),(117,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(113,1),(128,1),(266,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(114,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(115,1),(127,1),(131,1),(265,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(116,1),(128,1),(131,1),(132,1),(193,1),(206,1),(265,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(117,1),(131,1),(134,1),(197,1),(266,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(197,1),(200,1),(268,1),(303,1)}
       101:{2,3,5,7}:{(70,1),(71,1),(74,1),(136,1),(137,1),(147,1)}
       102:{1,4,5,7}:{(70,1),(72,1),(75,1),(137,1),(273,1),(276,1)}
       103:{1,3,6,7}:{(71,1),(72,1),(137,1),(139,1)}
       104:{1,2,4,6,7}:{(72,1),(73,1),(80,1),(138,1),(139,1),(140,1),(141,1),(215,1),(307,1),(310,1),(314,1)}
       105:{1,3,5,6,7}:{(73,1),(81,1),(140,1),(141,1),(165,1),(216,1),(225,1),(241,1),(287,1)}
       106:{2,3,4,6}:{(74,1),(76,1),(136,1),(142,1),(159,1),(221,1),(278,1)}
       107:{1,3,5,6}:{(74,1),(75,1),(137,1),(142,1),(143,1)}
       108:{1,2,4,5,6}:{(75,1),(86,1),(138,1),(143,1),(144,1),(157,1),(217,1),(218,1),(221,1),(237,1),(277,1),(281,1),(290,1),(307,1),(308,1),(310,1),(314,1)}
       109:{1,3,4,5}:{(76,1),(142,1),(145,1),(223,1),(281,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(85,1),(146,1),(147,1),(241,1),(276,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(86,1),(146,1),(147,1),(226,1)}
       112:{2,4,6,7}:{(79,1),(82,1),(87,1),(92,1),(139,1),(146,1),(149,1),(210,1),(226,1)}
       113:{3,6,7}:{(80,1),(147,1)}
       114:{2,4,6,7}:{(81,1),(94,1),(141,1),(150,1),(151,1),(226,1),(283,1),(285,1),(310,1)}
       115:{1,2,4,7}:{(82,1),(83,1),(95,1),(152,1),(169,1),(232,1)}
       116:{2,3,7}:{(82,1),(84,1),(152,1)}
       117:{1,3,6}:{(83,1),(84,1),(90,1),(152,1),(154,1)}
       118:{2,3,4,6}:{(84,1),(91,1),(99,1),(153,1),(155,1),(156,1),(234,1),(289,1)}
       119:{2,5,6}:{(85,1),(87,1),(146,1)}
       120:{3,5,6}:{(86,1),(147,1),(159,1)}
       121:{1,2,4,6}:{(87,1),(88,1),(157,1),(160,1),(237,1),(239,1),(243,1),(288,1),(307,1),(310,1),(314,1)}
       122:{2,3,6}:{(87,1),(89,1),(160,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(90,1),(152,1),(160,1),(162,1),(163,1),(223,1),(240,1),(271,1),(309,1)}
       124:{2,3,4,7}:{(89,1),(91,1),(161,1),(163,1),(224,1),(226,1)}
       125:{2,3,5}:{(90,1),(154,1),(164,1),(235,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(288,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(234,1),(288,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(150,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(151,1),(167,1),(168,1),(276,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(152,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(233,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(156,1),(172,1),(235,1)}
       136:{2,3,4,7}:{(101,1),(106,1),(173,1),(188,1),(247,1),(291,1)}
       137:{1,3,5,7}:{(101,1),(102,1),(103,1),(107,1),(173,1),(174,1)}
       138:{1,2,4,5,7}:{(102,1),(104,1),(108,1),(111,1),(174,1),(175,1),(179,1),(186,1),(244,1),(247,1),(250,1),(259,1),(294,1),(300,1),(311,1)}
       139:{2,6,7}:{(103,1),(174,1)}
       140:{1,3,6,7}:{(104,1),(113,1),(175,1),(177,1),(312,1),(313,1)}
       141:{1,4,6,7}:{(105,1),(114,1),(179,1),(259,1),(301,1)}
       142:{1,3,4,6}:{(106,1),(107,1),(109,1),(173,1),(180,1),(252,1),(254,1)}
       143:{2,5,6}:{(107,1),(174,1),(180,1)}
       144:{1,3,5,6}:{(108,1),(120,1),(175,1),(182,1),(183,1),(252,1),(298,1),(303,1),(312,1),(313,1)}
       145:{2,4,5}:{(109,1),(180,1),(185,1)}
       146:{2,5,7}:{(110,1),(112,1),(119,1)}
       147:{3,5,7}:{(111,1),(113,1),(120,1),(188,1)}
       148:{1,2,4,6,7}:{(112,1),(115,1),(121,1),(127,1),(176,1),(186,1),(189,1),(205,1),(244,1),(249,1),(259,1),(262,1)}
       149:{2,3,6,7}:{(112,1),(113,1),(116,1),(122,1),(187,1),(189,1),(245,1)}
       150:{3,4,6,7}:{(113,1),(114,1),(188,1),(191,1),(261,1),(299,1),(313,1)}
       151:{2,4,5,7}:{(114,1),(130,1),(179,1),(191,1),(192,1),(206,1),(250,1)}
       152:{1,3,7}:{(115,1),(116,1),(117,1),(193,1)}
       153:{2,3,4,7}:{(116,1),(118,1),(132,1),(194,1),(195,1),(299,1)}
       154:{2,3,6}:{(117,1),(125,1),(193,1),(196,1)}
       155:{1,3,4,6}:{(117,1),(118,1),(126,1),(134,1),(194,1),(196,1),(197,1),(266,1)}
       156:{2,3,5}:{(118,1),(135,1),(197,1),(303,1)}
       157:{1,2,5,6}:{(119,1),(121,1),(186,1),(198,1),(269,1),(270,1),(296,1),(302,1)}
       158:{2,3,5,6}:{(119,1),(120,1),(122,1),(187,1),(198,1),(199,1),(203,1)}
       159:{3,4,6}:{(120,1),(188,1),(199,1),(200,1)}
       160:{1,3,6}:{(121,1),(122,1),(123,1),(201,1),(313,1)}
       161:{2,3,4,6}:{(122,1),(124,1),(199,1),(202,1),(203,1)}
       162:{2,3,5,7}:{(123,1),(125,1),(193,1),(201,1),(204,1),(256,1),(265,1),(269,1),(291,1),(311,1)}
       163:{1,3,4,7}:{(123,1),(124,1),(126,1),(202,1),(204,1),(257,1),(259,1),(299,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(266,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(191,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(192,1),(207,1),(296,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(195,1),(206,1),(208,1),(209,1),(265,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(266,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(197,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(142,1),(210,1),(271,1),(273,1)}
       174:{2,5,7}:{(137,1),(139,1),(143,1),(210,1)}
       175:{1,3,5,7}:{(138,1),(140,1),(144,1),(147,1),(212,1),(213,1),(271,1),(309,1)}
       176:{1,2,6,7}:{(139,1),(211,1),(214,1),(314,1)}
       177:{2,3,6,7}:{(139,1),(140,1),(212,1),(214,1),(215,1),(306,1),(314,1)}
       178:{1,3,4,6,7}:{(140,1),(141,1),(150,1),(213,1),(215,1),(216,1),(275,1)}
       179:{1,4,5,7}:{(141,1),(151,1),(216,1),(217,1),(241,1)}
       180:{2,4,6}:{(142,1),(143,1),(145,1),(210,1),(219,1)}
       181:{1,2,5,6}:{(143,1),(211,1),(218,1),(220,1),(308,1),(314,1)}
       182:{2,3,5,6}:{(143,1),(144,1),(212,1),(219,1),(220,1),(221,1),(277,1),(278,1),(280,1),(306,1),(308,1),(314,1)}
       183:{1,3,4,6}:{(144,1),(159,1),(213,1),(221,1),(222,1),(237,1),(289,1)}
       184:{1,2,4,5}:{(145,1),(218,1),(223,1),(281,1),(282,1),(308,1)}
       185:{2,3,5}:{(145,1),(219,1),(223,1),(224,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(157,1),(225,1),(241,1),(276,1),(286,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(158,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(159,1),(226,1)}
       189:{1,3,6,7}:{(148,1),(149,1),(152,1),(160,1),(225,1),(228,1),(271,1)}
       190:{2,3,4,6,7}:{(149,1),(150,1),(153,1),(161,1),(166,1),(215,1),(226,1),(229,1),(230,1),(234,1),(272,1),(285,1),(306,1)}
       191:{3,5,7}:{(150,1),(151,1),(231,1)}
       192:{2,4,5,6}:{(151,1),(168,1),(217,1),(231,1),(242,1),(277,1),(285,1),(310,1)}
       193:{2,3,7}:{(152,1),(154,1),(232,1)}
       194:{1,3,4,7}:{(152,1),(153,1),(155,1),(169,1),(232,1),(233,1)}
       195:{2,3,5,7}:{(153,1),(156,1),(170,1),(233,1),(234,1),(309,1)}
       196:{2,4,6}:{(154,1),(155,1),(164,1),(232,1),(235,1),(288,1)}
       197:{1,3,5}:{(155,1),(156,1),(172,1),(235,1)}
       198:{1,3,5,6}:{(157,1),(158,1),(160,1),(225,1),(236,1),(237,1),(240,1)}
       199:{2,4,6}:{(158,1),(159,1),(226,1),(237,1),(238,1)}
       200:{3,4,5}:{(159,1),(238,1)}
       201:{2,3,6}:{(160,1),(162,1),(239,1),(288,1),(314,1)}
       202:{1,3,4,6}:{(160,1),(161,1),(163,1),(237,1),(239,1),(240,1),(289,1)}
       203:{2,3,5}:{(161,1),(238,1),(240,1)}
       204:{2,4,7}:{(162,1),(163,1),(164,1),(239,1),(282,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(231,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(233,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(234,1),(242,1),(243,1),(288,1)}
       210:{2,4,7}:{(173,1),(174,1),(180,1),(245,1)}
       211:{1,2,5,7}:{(174,1),(176,1),(181,1),(244,1),(246,1),(311,1)}
       212:{2,3,5,7}:{(174,1),(175,1),(177,1),(182,1),(245,1),(246,1),(247,1),(250,1),(291,1),(311,1)}
       213:{1,3,4,7}:{(175,1),(183,1),(188,1),(247,1),(259,1),(299,1)}
       214:{1,3,6,7}:{(176,1),(177,1),(246,1),(249,1),(312,1)}
       215:{2,4,6,7}:{(177,1),(178,1),(247,1),(249,1),(250,1),(295,1)}
       216:{1,3,5,7}:{(178,1),(179,1),(191,1),(250,1),(251,1)}
       217:{1,4,5,6}:{(179,1),(192,1),(251,1),(270,1),(301,1)}
       218:{1,2,4,6}:{(180,1),(181,1),(184,1),(244,1),(252,1),(254,1),(297,1)}
       219:{2,3,6}:{(180,1),(185,1),(245,1),(252,1)}
       220:{1,3,5,6}:{(181,1),(182,1),(246,1),(252,1),(254,1),(296,1),(298,1),(312,1)}
       221:{2,4,6}:{(182,1),(183,1),(247,1),(254,1),(255,1)}
       222:{1,3,4,5}:{(183,1),(200,1),(255,1),(268,1),(298,1),(303,1)}
       223:{1,3,5}:{(184,1),(185,1),(252,1),(256,1),(257,1)}
       224:{2,3,4}:{(185,1),(257,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(198,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(199,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(200,1),(260,1),(261,1)}
       228:{2,3,6,7}:{(189,1),(193,1),(201,1),(258,1),(262,1),(291,1),(313,1)}
       229:{1,3,4,6,7}:{(189,1),(190,1),(194,1),(202,1),(205,1),(249,1),(259,1),(262,1),(263,1),(266,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       230:{2,3,5,7}:{(190,1),(191,1),(203,1),(206,1),(250,1),(260,1),(263,1),(264,1)}
       231:{3,5,6}:{(191,1),(192,1),(261,1),(313,1)}
       232:{2,4,7}:{(193,1),(194,1),(196,1),(265,1)}
       233:{1,3,5,7}:{(194,1),(195,1),(197,1),(208,1),(265,1),(266,1)}
       234:{2,3,6}:{(195,1),(209,1),(266,1),(313,1)}
       235:{2,5}:{(196,1),(197,1)}
       236:{2,3,5,6}:{(198,1),(201,1),(258,1),(267,1),(269,1),(302,1),(303,1),(313,1)}
       237:{1,4,6}:{(198,1),(199,1),(259,1),(267,1),(268,1)}
       238:{2,4,5}:{(199,1),(200,1),(203,1),(268,1)}
       239:{2,4,6}:{(201,1),(202,1),(204,1),(269,1)}
       240:{1,3,5}:{(202,1),(203,1),(268,1),(269,1),(303,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(266,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(218,1),(271,1),(273,1),(304,1)}
       245:{2,3,7}:{(210,1),(219,1),(271,1)}
       246:{1,3,5,7}:{(211,1),(212,1),(214,1),(220,1),(271,1),(273,1),(276,1)}
       247:{2,4,7}:{(212,1),(213,1),(221,1),(273,1)}
       248:{1,3,4,5,7}:{(213,1),(216,1),(222,1),(227,1),(274,1),(275,1),(284,1),(305,1),(309,1)}
       249:{1,4,6,7}:{(214,1),(215,1),(273,1),(276,1),(307,1)}
       250:{2,5,7}:{(215,1),(216,1),(276,1),(277,1)}
       251:{1,3,5,6}:{(216,1),(217,1),(231,1),(275,1),(277,1)}
       252:{1,3,6}:{(218,1),(219,1),(223,1),(271,1),(278,1)}
       253:{2,3,4,6}:{(219,1),(221,1),(224,1),(272,1),(279,1),(280,1),(289,1),(306,1)}
       254:{1,4,6}:{(220,1),(221,1),(273,1),(281,1)}
       255:{2,4,5}:{(221,1),(222,1),(280,1),(281,1),(308,1)}
       256:{2,3,5}:{(223,1),(278,1),(282,1),(308,1)}
       257:{1,3,4}:{(223,1),(224,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(236,1),(283,1),(286,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(237,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(238,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(231,1),(285,1)}
       262:{2,4,6,7}:{(228,1),(229,1),(232,1),(239,1),(283,1),(286,1),(288,1),(304,1),(310,1),(314,1)}
       263:{1,3,5,7}:{(229,1),(230,1),(240,1),(241,1),(276,1),(284,1),(286,1),(287,1),(309,1)}
       264:{2,3,5,6}:{(230,1),(231,1),(234,1),(242,1),(277,1),(285,1),(287,1),(306,1)}
       265:{2,5,7}:{(232,1),(233,1),(235,1),(288,1)}
       266:{1,3,6}:{(233,1),(234,1),(243,1),(288,1)}
       267:{2,4,6}:{(236,1),(237,1),(283,1),(289,1),(290,1)}
       268:{1,4,5}:{(237,1),(238,1),(240,1),(290,1)}
       269:{2,5}:{(239,1),(240,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(252,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(253,1),(292,1),(293,1),(299,1)}
       273:{1,4,7}:{(246,1),(247,1),(254,1)}
       274:{2,4,5,7}:{(247,1),(248,1),(250,1),(255,1),(293,1),(294,1),(295,1),(311,1)}
       275:{1,3,4,6}:{(248,1),(251,1),(261,1),(295,1),(301,1),(312,1),(313,1)}
       276:{1,5,7}:{(249,1),(250,1),(296,1)}
       277:{2,5,6}:{(250,1),(251,1),(295,1),(296,1)}
       278:{2,3,6}:{(252,1),(256,1),(291,1),(297,1)}
       279:{1,3,4,6}:{(252,1),(253,1),(254,1),(257,1),(292,1),(297,1),(298,1),(312,1)}
       280:{2,3,5}:{(253,1),(255,1),(298,1),(303,1)}
       281:{1,4,5}:{(254,1),(255,1),(298,1)}
       282:{2,4}:{(256,1),(257,1)}
       283:{2,4,7}:{(258,1),(259,1),(267,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(268,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(264,1),(301,1)}
       286:{2,5,7}:{(262,1),(263,1),(269,1),(302,1)}
       287:{1,3,5,6}:{(263,1),(264,1),(266,1),(270,1),(296,1),(301,1),(302,1),(312,1),(313,1)}
       288:{2,6}:{(265,1),(266,1)}
       289:{3,4,6}:{(267,1),(299,1),(303,1),(313,1)}
       290:{2,4,5}:{(267,1),(268,1),(269,1),(303,1)}
       291:{2,3,7}:{(271,1),(278,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(273,1),(279,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(274,1),(280,1),(305,1),(306,1),(309,1)}
       294:{1,4,5,7}:{(273,1),(274,1),(276,1),(281,1),(305,1),(307,1)}
       295:{2,4,6}:{(274,1),(275,1),(277,1),(306,1),(307,1),(314,1)}
       296:{1,5,6}:{(276,1),(277,1),(307,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(304,1),(308,1),(314,1)}
       298:{1,3,5}:{(279,1),(280,1),(281,1),(308,1)}
       299:{3,4,7}:{(283,1),(289,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(286,1),(290,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(287,1),(310,1)}
       302:{2,5,6}:{(286,1),(287,1),(288,1),(310,1),(314,1)}
       303:{3,5}:{(289,1),(290,1)}
       304:{2,4,7}:{(291,1),(292,1),(297,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(295,1),(312,1),(313,1)}
       307:{1,4,6}:{(294,1),(295,1),(296,1),(312,1)}
       308:{2,5}:{(297,1),(298,1)}
       309:{3,5,7}:{(299,1),(300,1),(303,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(302,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(308,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2169 :   0:{1,2,4,5,7}:{(4,1),(5,1),(7,1),(27,1),(31,1),(40,1),(42,1),(85,1),(94,1),(95,1),(145,1),(175,1),(218,1),(223,1),(227,1),(268,1)}
         1:{1,2,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(40,1),(80,1),(152,1),(223,1)}
         2:{1,3,4,6,7}:{(6,1),(8,1),(9,1),(32,1),(37,1),(40,1),(100,1),(103,1)}
         3:{1,3,4,5,7}:{(11,1),(12,1),(13,1),(22,1),(44,1),(49,1),(51,1),(60,1),(71,1),(110,1),(179,1),(191,1),(192,1),(196,1),(197,1),(242,1),(250,1),(254,1)}
         4:{1,3,5,7}:{(0,1),(13,1),(14,1),(15,1),(60,1),(71,1),(183,1),(245,1),(250,1),(254,1)}
         5:{1,2,4,6}:{(0,1),(15,1),(16,1),(53,1),(59,1),(64,1),(66,1),(122,1),(198,1),(207,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(18,1),(19,1),(207,1),(250,1)}
         7:{1,2,5,7}:{(1,1),(16,1),(19,1),(21,1),(117,1),(190,1),(262,1)}
         8:{2,4,6,7}:{(2,1),(18,1),(20,1),(21,1),(59,1),(66,1),(69,1)}
         9:{1,3,5,7}:{(2,1),(17,1),(21,1),(22,1),(60,1),(71,1)}
        10:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(73,1),(74,1),(85,1),(92,1),(144,1),(147,1),(148,1),(167,1),(213,1),(223,1),(227,1),(233,1),(297,1)}
        11:{2,4,5,7}:{(3,1),(26,1),(27,1),(28,1),(31,1),(74,1),(81,1),(85,1),(94,1),(147,1),(154,1),(160,1),(223,1),(227,1)}
        12:{1,3,4,6}:{(3,1),(28,1),(29,1),(37,1),(86,1),(100,1),(162,1),(163,1),(211,1),(229,1),(264,1)}
        13:{1,3,4,7}:{(4,1),(31,1),(32,1),(40,1),(103,1),(268,1),(275,1)}
        14:{2,3,5,7}:{(4,1),(31,1),(33,1),(34,1),(85,1),(94,1),(157,1),(226,1)}
        15:{1,3,6}:{(4,1),(5,1),(34,1),(100,1),(229,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(35,1),(36,1),(88,1),(94,1),(161,1),(218,1),(281,1)}
        17:{1,3,5,6}:{(9,1),(36,1),(37,1),(100,1)}
        18:{2,3,6,7}:{(6,1),(8,1),(34,1),(38,1),(39,1),(100,1),(152,1),(172,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(35,1),(39,1),(40,1),(175,1),(238,1)}
        20:{1,4,6,7}:{(8,1),(38,1),(41,1),(93,1),(99,1),(102,1)}
        21:{2,5,7}:{(8,1),(9,1),(36,1),(41,1),(94,1)}
        22:{1,4,5,7}:{(9,1),(37,1),(40,1),(42,1),(95,1),(175,1)}
        23:{1,3,5,7}:{(10,1),(44,1),(45,1),(46,1),(110,1),(129,1),(202,1),(242,1),(250,1),(254,1)}
        24:{1,2,4,6}:{(10,1),(46,1),(47,1),(53,1),(109,1),(114,1),(122,1),(198,1),(240,1),(306,1)}
        25:{1,3,4,6,7}:{(12,1),(48,1),(49,1),(57,1),(115,1),(128,1),(191,1),(192,1),(250,1)}
        26:{2,3,5,7}:{(11,1),(50,1),(51,1),(52,1),(71,1),(121,1),(139,1),(242,1),(250,1),(254,1),(283,1)}
        27:{1,4,5,7}:{(11,1),(51,1),(53,1),(58,1),(108,1),(117,1),(131,1),(185,1),(191,1),(196,1)}
        28:{2,4,6}:{(11,1),(12,1),(52,1),(53,1),(54,1),(122,1)}
        29:{1,3,5,6}:{(12,1),(49,1),(54,1),(55,1),(60,1),(110,1),(126,1)}
        30:{1,3,5,6,7}:{(17,1),(49,1),(56,1),(57,1),(128,1),(176,1)}
        31:{2,4,7}:{(13,1),(14,1),(58,1),(59,1),(253,1)}
        32:{1,3,4,6}:{(13,1),(15,1),(59,1),(60,1),(64,1),(135,1)}
        33:{1,3,5,7}:{(14,1),(58,1),(61,1),(62,1),(129,1),(131,1),(202,1)}
        34:{2,3,6}:{(14,1),(15,1),(59,1),(62,1),(122,1)}
        35:{1,3,5,6}:{(15,1),(16,1),(19,1),(60,1),(63,1),(64,1),(207,1),(245,1),(260,1),(261,1)}
        36:{2,5,6}:{(17,1),(21,1),(65,1),(66,1)}
        37:{1,4,6}:{(17,1),(22,1),(66,1),(207,1)}
        38:{1,3,6,7}:{(18,1),(20,1),(62,1),(67,1),(68,1),(136,1)}
        39:{2,3,5,7}:{(18,1),(19,1),(21,1),(63,1),(68,1),(69,1),(71,1),(139,1),(190,1),(208,1),(250,1)}
        40:{1,4,7}:{(19,1),(64,1),(69,1)}
        41:{1,5,7}:{(20,1),(21,1),(65,1),(131,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(132,1),(139,1)}
        43:{1,2,4,6,7}:{(24,1),(72,1),(73,1),(80,1),(140,1),(144,1),(152,1),(223,1)}
        44:{1,3,4,7}:{(23,1),(74,1),(75,1),(144,1),(216,1),(233,1),(275,1)}
        45:{2,3,5,7}:{(23,1),(74,1),(76,1),(77,1),(85,1),(147,1),(157,1),(226,1)}
        46:{1,3,6}:{(23,1),(24,1),(77,1),(229,1),(264,1)}
        47:{1,2,5,6}:{(24,1),(73,1),(78,1),(88,1),(147,1),(161,1),(167,1),(210,1),(301,1)}
        48:{2,4,6,7}:{(25,1),(28,1),(79,1),(80,1),(81,1),(152,1),(154,1),(223,1)}
        49:{1,3,5,7}:{(25,1),(29,1),(81,1),(82,1),(156,1)}
        50:{2,3,4,7}:{(26,1),(31,1),(74,1),(83,1),(84,1),(103,1),(154,1),(157,1),(174,1),(216,1),(267,1),(273,1),(275,1)}
        51:{1,3,5,7}:{(26,1),(27,1),(83,1),(85,1),(86,1),(159,1),(175,1),(297,1)}
        52:{2,3,6}:{(26,1),(28,1),(86,1),(100,1),(172,1),(229,1),(264,1),(296,1)}
        53:{1,4,6}:{(27,1),(28,1),(86,1),(88,1)}
        54:{2,5,6}:{(28,1),(29,1),(81,1),(88,1),(94,1),(147,1)}
        55:{1,4,5,6}:{(29,1),(37,1),(82,1),(89,1),(95,1),(148,1),(162,1),(211,1),(231,1)}
        56:{2,5,6,7}:{(30,1),(36,1),(81,1),(90,1),(91,1),(210,1)}
        57:{1,4,6,7}:{(30,1),(37,1),(82,1),(91,1),(211,1),(232,1)}
        58:{1,4,7}:{(31,1),(33,1),(93,1),(233,1)}
        59:{2,4,6}:{(31,1),(32,1),(34,1),(93,1),(94,1)}
        60:{1,3,5}:{(32,1),(94,1),(95,1),(169,1)}
        61:{1,2,5,7}:{(33,1),(85,1),(92,1),(96,1),(167,1),(297,1)}
        62:{1,3,6}:{(33,1),(34,1),(93,1),(96,1)}
        63:{2,3,5,6}:{(34,1),(35,1),(36,1),(39,1),(94,1),(97,1),(98,1),(100,1),(161,1),(169,1),(172,1),(226,1),(229,1),(235,1),(236,1)}
        64:{1,4,6}:{(35,1),(40,1),(95,1),(98,1),(268,1)}
        65:{1,5,6}:{(36,1),(41,1),(99,1)}
        66:{2,4,6}:{(36,1),(37,1),(42,1),(99,1),(100,1),(172,1)}
        67:{1,2,6,7}:{(38,1),(96,1),(101,1),(152,1),(172,1),(232,1)}
        68:{1,3,5,7}:{(38,1),(39,1),(41,1),(97,1),(101,1),(102,1),(173,1)}
        69:{2,4,7}:{(39,1),(40,1),(98,1),(102,1),(103,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(99,1),(102,1),(104,1),(168,1)}
        71:{3,5,7}:{(42,1),(100,1),(103,1),(169,1)}
        72:{1,3,6,7}:{(43,1),(46,1),(106,1),(107,1),(250,1),(306,1)}
        73:{1,2,5,7}:{(43,1),(47,1),(107,1),(117,1),(178,1),(190,1),(307,1)}
        74:{2,4,7}:{(44,1),(45,1),(108,1),(109,1),(253,1)}
        75:{1,3,4,6}:{(44,1),(46,1),(109,1),(110,1),(114,1),(189,1)}
        76:{1,3,5,7}:{(45,1),(108,1),(111,1),(112,1),(183,1),(185,1),(245,1)}
        77:{2,3,6}:{(45,1),(46,1),(109,1),(112,1),(122,1)}
        78:{1,3,5,6}:{(46,1),(47,1),(107,1),(110,1),(113,1),(114,1),(202,1),(288,1),(289,1),(306,1)}
        79:{2,3,6,7}:{(48,1),(52,1),(115,1),(116,1),(128,1),(201,1),(250,1)}
        80:{1,4,6,7}:{(48,1),(53,1),(115,1),(117,1),(191,1)}
        81:{2,5,7}:{(48,1),(49,1),(54,1),(117,1)}
        82:{1,4,5,7}:{(49,1),(55,1),(57,1),(118,1),(191,1),(252,1)}
        83:{1,3,4,7}:{(50,1),(51,1),(58,1),(108,1),(119,1),(120,1),(129,1),(183,1),(191,1),(209,1),(250,1),(285,1),(290,1)}
        84:{2,3,4,6}:{(50,1),(52,1),(59,1),(109,1),(120,1),(121,1),(124,1),(135,1),(189,1),(194,1),(206,1),(249,1),(253,1),(256,1),(291,1)}
        85:{2,5,7}:{(51,1),(119,1),(122,1),(195,1)}
        86:{1,3,6}:{(51,1),(52,1),(53,1),(122,1),(207,1),(306,1)}
        87:{2,3,5,6}:{(52,1),(54,1),(116,1),(121,1),(123,1),(124,1),(126,1),(200,1),(256,1)}
        88:{1,5,6}:{(53,1),(54,1),(117,1),(131,1),(185,1)}
        89:{2,4,5,6}:{(54,1),(55,1),(66,1),(118,1),(124,1),(125,1),(126,1),(132,1),(186,1),(198,1),(200,1),(240,1)}
        90:{1,5,6,7}:{(56,1),(65,1),(117,1),(127,1),(239,1)}
        91:{2,4,6,7}:{(56,1),(57,1),(66,1),(118,1),(127,1),(128,1),(201,1),(240,1)}
        92:{1,2,4,7}:{(58,1),(61,1),(119,1),(129,1),(130,1),(285,1),(307,1)}
        93:{1,4,6}:{(58,1),(59,1),(62,1),(131,1)}
        94:{2,5}:{(59,1),(60,1),(131,1)}
        95:{1,4,5}:{(60,1),(64,1),(132,1),(260,1)}
        96:{1,2,6}:{(61,1),(62,1),(122,1),(306,1)}
        97:{1,3,5,6}:{(62,1),(63,1),(65,1),(68,1),(131,1),(133,1),(134,1),(136,1),(202,1),(204,1),(205,1)}
        98:{2,4,6}:{(63,1),(64,1),(69,1),(132,1),(134,1),(135,1),(253,1)}
        99:{1,4,6}:{(65,1),(66,1),(70,1),(136,1)}
       100:{3,6}:{(66,1),(71,1)}
       101:{1,2,5,7}:{(67,1),(68,1),(133,1),(137,1),(139,1),(190,1),(252,1)}
       102:{1,4,7}:{(68,1),(69,1),(134,1)}
       103:{3,4,7}:{(69,1),(71,1),(135,1),(250,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(136,1),(138,1),(139,1),(204,1)}
       105:{1,3,4,6,7}:{(72,1),(75,1),(140,1),(141,1),(144,1),(211,1),(216,1),(264,1)}
       106:{2,3,6,7}:{(72,1),(77,1),(140,1),(142,1),(143,1),(152,1),(264,1),(296,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(78,1),(143,1),(144,1),(297,1),(298,1)}
       108:{1,4,7}:{(74,1),(76,1),(146,1),(268,1)}
       109:{2,4,6}:{(74,1),(75,1),(77,1),(146,1),(147,1)}
       110:{1,3,5}:{(75,1),(147,1),(148,1),(220,1)}
       111:{1,2,5,7}:{(76,1),(85,1),(145,1),(149,1),(175,1),(218,1)}
       112:{1,3,6}:{(76,1),(77,1),(146,1),(149,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(143,1),(147,1),(150,1),(151,1),(161,1),(210,1),(220,1),(226,1),(229,1),(264,1),(270,1),(271,1),(296,1)}
       114:{1,4,6}:{(78,1),(144,1),(148,1),(151,1),(233,1)}
       115:{1,3,6,7}:{(79,1),(80,1),(86,1),(152,1),(153,1),(232,1)}
       116:{2,3,5,7}:{(79,1),(81,1),(87,1),(153,1),(154,1),(156,1),(225,1),(273,1)}
       117:{1,5,7}:{(80,1),(81,1),(88,1)}
       118:{2,4,5,7}:{(81,1),(82,1),(89,1),(91,1),(154,1),(155,1),(156,1),(223,1),(225,1)}
       119:{2,4,7}:{(83,1),(85,1),(157,1),(158,1),(302,1)}
       120:{1,3,4,6}:{(83,1),(84,1),(86,1),(93,1),(146,1),(158,1),(159,1),(162,1),(166,1),(217,1),(229,1),(233,1),(237,1),(268,1),(272,1),(275,1),(278,1),(303,1)}
       121:{2,3,5}:{(84,1),(94,1),(147,1),(159,1),(160,1),(169,1),(220,1),(235,1),(270,1)}
       122:{2,6}:{(85,1),(86,1)}
       123:{1,3,5,6}:{(86,1),(87,1),(88,1),(153,1),(159,1),(161,1),(162,1),(229,1),(231,1),(278,1)}
       124:{2,4,6}:{(87,1),(154,1),(160,1),(162,1),(163,1)}
       125:{1,4,5,6}:{(88,1),(89,1),(99,1),(155,1),(162,1),(164,1),(168,1),(219,1),(263,1)}
       126:{3,5,6}:{(89,1),(100,1),(156,1),(163,1),(169,1),(220,1),(229,1),(264,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(99,1),(155,1),(165,1),(263,1)}
       128:{3,6,7}:{(91,1),(100,1),(156,1),(264,1)}
       129:{1,3,7}:{(92,1),(157,1),(166,1)}
       130:{1,2,4,6}:{(92,1),(93,1),(96,1),(158,1),(166,1),(167,1),(233,1),(272,1),(301,1),(312,1)}
       131:{1,5}:{(93,1),(94,1)}
       132:{2,4,5}:{(94,1),(95,1),(98,1),(168,1),(169,1),(235,1)}
       133:{1,2,5,6}:{(96,1),(97,1),(101,1),(161,1),(167,1),(170,1),(172,1),(231,1),(235,1)}
       134:{1,4,6}:{(97,1),(98,1),(102,1),(168,1),(233,1)}
       135:{3,4,6}:{(98,1),(100,1),(103,1),(169,1),(229,1),(275,1)}
       136:{1,3,6}:{(99,1),(100,1),(104,1),(172,1)}
       137:{1,2,4,7}:{(101,1),(102,1),(170,1),(173,1),(174,1),(223,1),(274,1),(302,1)}
       138:{1,3,4,7}:{(102,1),(103,1),(104,1),(171,1),(173,1),(174,1)}
       139:{2,5,7}:{(104,1),(172,1),(174,1),(175,1),(235,1)}
       140:{2,4,6,7}:{(105,1),(106,1),(109,1),(177,1),(178,1),(182,1),(240,1)}
       141:{1,3,5,7}:{(105,1),(110,1),(176,1),(178,1),(179,1),(242,1)}
       142:{1,3,6,7}:{(106,1),(112,1),(177,1),(180,1),(181,1),(282,1)}
       143:{2,3,5,7}:{(106,1),(107,1),(113,1),(178,1),(181,1),(182,1),(190,1),(242,1),(250,1),(283,1),(284,1)}
       144:{1,4,7}:{(107,1),(114,1),(182,1)}
       145:{1,2,4,7}:{(108,1),(111,1),(119,1),(183,1),(184,1),(209,1),(262,1)}
       146:{1,4,6}:{(108,1),(109,1),(112,1),(185,1)}
       147:{2,5}:{(109,1),(110,1),(185,1)}
       148:{1,4,5}:{(110,1),(114,1),(186,1),(288,1)}
       149:{1,2,6}:{(111,1),(112,1),(122,1),(207,1)}
       150:{1,3,5,6}:{(112,1),(113,1),(181,1),(185,1),(187,1),(188,1),(239,1),(245,1),(247,1),(248,1),(282,1)}
       151:{2,4,6}:{(113,1),(114,1),(182,1),(186,1),(188,1),(189,1),(253,1)}
       152:{2,6,7}:{(115,1),(122,1),(190,1)}
       153:{1,3,5,7}:{(115,1),(116,1),(117,1),(123,1),(190,1),(191,1),(250,1),(252,1),(290,1)}
       154:{2,4,7}:{(116,1),(124,1),(191,1),(192,1)}
       155:{1,4,5,7}:{(117,1),(118,1),(125,1),(127,1),(191,1),(193,1)}
       156:{3,5,7}:{(118,1),(126,1),(128,1),(192,1),(250,1)}
       157:{2,3,7}:{(119,1),(129,1),(183,1),(194,1),(250,1)}
       158:{2,4,6}:{(119,1),(120,1),(122,1),(194,1),(195,1),(253,1),(293,1),(310,1)}
       159:{1,3,5}:{(120,1),(121,1),(131,1),(185,1),(195,1),(196,1),(254,1),(260,1),(288,1)}
       160:{2,4,5}:{(121,1),(124,1),(196,1),(197,1),(253,1)}
       161:{2,5,6}:{(122,1),(123,1),(190,1),(195,1),(198,1),(293,1)}
       162:{1,4,6}:{(123,1),(124,1),(191,1),(196,1),(198,1)}
       163:{3,4,6}:{(124,1),(126,1),(192,1),(197,1)}
       164:{1,3,5,6}:{(125,1),(126,1),(136,1),(193,1),(199,1),(200,1),(204,1),(247,1),(282,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(136,1),(193,1),(201,1),(282,1)}
       166:{1,3,6}:{(129,1),(130,1),(194,1),(202,1),(314,1)}
       167:{1,2,5}:{(130,1),(131,1),(195,1),(202,1),(288,1)}
       168:{1,4,5}:{(131,1),(132,1),(134,1),(204,1)}
       169:{3,5}:{(132,1),(135,1)}
       170:{1,2,4,6}:{(133,1),(134,1),(137,1),(198,1),(203,1),(205,1),(206,1),(257,1),(293,1)}
       171:{1,3,4,6}:{(134,1),(135,1),(136,1),(138,1),(204,1),(205,1),(206,1),(258,1)}
       172:{2,6}:{(136,1),(139,1),(207,1)}
       173:{1,3,7}:{(137,1),(205,1),(208,1),(250,1)}
       174:{2,4,7}:{(138,1),(139,1),(206,1),(208,1),(209,1)}
       175:{1,5,7}:{(139,1),(207,1),(209,1),(260,1)}
       176:{1,3,5,6}:{(141,1),(210,1),(211,1),(264,1)}
       177:{1,4,6,7}:{(140,1),(142,1),(146,1),(212,1),(215,1),(263,1)}
       178:{2,5,7}:{(140,1),(141,1),(147,1),(210,1),(212,1)}
       179:{1,4,5,7}:{(141,1),(144,1),(148,1),(211,1),(213,1),(297,1)}
       180:{1,2,6,7}:{(142,1),(149,1),(152,1),(214,1),(232,1),(296,1)}
       181:{1,3,5,7}:{(142,1),(143,1),(150,1),(212,1),(214,1),(215,1),(266,1)}
       182:{2,4,7}:{(143,1),(144,1),(151,1),(215,1),(216,1)}
       183:{1,3,7}:{(145,1),(157,1),(217,1)}
       184:{1,2,4,6}:{(145,1),(146,1),(149,1),(158,1),(217,1),(218,1),(237,1),(268,1),(281,1),(305,1)}
       185:{1,5}:{(146,1),(147,1)}
       186:{2,4,5}:{(147,1),(148,1),(151,1),(219,1),(220,1),(270,1)}
       187:{1,2,5,6}:{(149,1),(150,1),(161,1),(214,1),(218,1),(221,1),(231,1),(270,1),(296,1)}
       188:{1,4,6}:{(150,1),(151,1),(215,1),(219,1),(268,1)}
       189:{3,4,6}:{(151,1),(216,1),(220,1),(229,1),(264,1),(275,1)}
       190:{2,5,7}:{(152,1),(153,1),(161,1),(223,1),(302,1)}
       191:{1,4,7}:{(153,1),(154,1),(162,1),(223,1)}
       192:{3,4,7}:{(154,1),(156,1),(163,1)}
       193:{1,3,5,7}:{(155,1),(156,1),(164,1),(165,1),(224,1),(225,1)}
       194:{2,3,6}:{(157,1),(158,1),(166,1),(217,1),(226,1),(229,1),(313,1)}
       195:{2,5}:{(158,1),(159,1)}
       196:{1,4,5}:{(159,1),(160,1),(162,1),(227,1),(233,1),(268,1)}
       197:{3,4,5}:{(160,1),(163,1),(169,1),(220,1),(275,1)}
       198:{2,4,6}:{(161,1),(162,1),(223,1),(227,1),(229,1)}
       199:{1,3,4,6}:{(162,1),(163,1),(164,1),(224,1),(228,1),(229,1),(230,1),(278,1)}
       200:{2,5,6}:{(164,1),(172,1),(225,1),(230,1),(231,1),(235,1),(270,1),(296,1)}
       201:{2,6,7}:{(165,1),(172,1),(225,1),(232,1),(296,1)}
       202:{1,3,5}:{(166,1),(167,1),(226,1),(233,1)}
       203:{1,2,4,5}:{(167,1),(168,1),(170,1),(227,1),(233,1),(234,1),(235,1),(277,1),(279,1),(304,1),(312,1)}
       204:{1,3,5}:{(168,1),(169,1),(171,1),(235,1)}
       205:{1,3,6}:{(170,1),(173,1),(229,1),(234,1),(236,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(237,1),(279,1)}
       207:{1,6}:{(172,1),(175,1)}
       208:{2,3,7}:{(173,1),(174,1),(236,1),(238,1),(302,1)}
       209:{1,4,7}:{(174,1),(175,1),(237,1),(238,1)}
       210:{2,5,6}:{(176,1),(178,1),(239,1),(240,1)}
       211:{1,4,6}:{(176,1),(179,1),(240,1),(306,1)}
       212:{1,5,7}:{(177,1),(178,1),(185,1),(239,1)}
       213:{2,4,5,7}:{(178,1),(179,1),(182,1),(186,1),(240,1),(241,1),(242,1),(283,1)}
       214:{1,2,5,7}:{(180,1),(181,1),(187,1),(190,1),(243,1),(252,1),(283,1)}
       215:{1,4,7}:{(181,1),(182,1),(188,1)}
       216:{3,4,7}:{(182,1),(189,1),(242,1),(250,1)}
       217:{1,3,6}:{(183,1),(184,1),(194,1),(245,1),(311,1)}
       218:{1,2,5}:{(184,1),(185,1),(195,1),(245,1),(260,1)}
       219:{1,4,5}:{(185,1),(186,1),(188,1),(247,1)}
       220:{3,5}:{(186,1),(189,1)}
       221:{1,2,4,6}:{(187,1),(188,1),(198,1),(243,1),(246,1),(248,1),(249,1),(257,1),(293,1)}
       222:{1,3,4,6}:{(188,1),(189,1),(244,1),(247,1),(248,1),(249,1),(282,1),(286,1)}
       223:{2,4,7}:{(190,1),(191,1),(198,1),(250,1)}
       224:{1,3,4,7}:{(191,1),(192,1),(193,1),(199,1),(250,1),(251,1),(290,1)}
       225:{2,5,7}:{(193,1),(200,1),(201,1),(251,1),(252,1)}
       226:{2,3,5}:{(194,1),(195,1),(202,1),(245,1),(253,1),(254,1)}
       227:{2,4,5}:{(195,1),(196,1),(198,1),(253,1),(254,1)}
       228:{1,3,4,5}:{(196,1),(197,1),(199,1),(204,1),(247,1),(254,1),(255,1),(258,1),(286,1),(292,1)}
       229:{3,6}:{(198,1),(250,1),(254,1)}
       230:{2,4,6}:{(199,1),(200,1),(251,1),(255,1),(256,1),(257,1),(293,1)}
       231:{1,5,6}:{(200,1),(207,1),(252,1),(257,1),(260,1),(288,1),(306,1)}
       232:{1,6,7}:{(201,1),(207,1),(252,1),(306,1)}
       233:{1,4}:{(202,1),(253,1)}
       234:{1,3,5}:{(203,1),(205,1),(254,1),(258,1),(259,1),(314,1)}
       235:{2,5}:{(204,1),(206,1),(260,1)}
       236:{2,3,6}:{(205,1),(206,1),(208,1),(259,1),(261,1),(293,1)}
       237:{1,4,6}:{(206,1),(207,1),(209,1),(260,1),(261,1),(294,1)}
       238:{1,3,7}:{(208,1),(209,1),(261,1),(262,1)}
       239:{1,5,6}:{(210,1),(212,1),(263,1)}
       240:{2,4,6}:{(210,1),(211,1),(213,1),(263,1),(264,1),(296,1)}
       241:{1,4,5,7}:{(212,1),(213,1),(215,1),(219,1),(263,1),(265,1)}
       242:{3,5,7}:{(213,1),(216,1),(220,1),(264,1)}
       243:{1,2,4,7}:{(214,1),(215,1),(221,1),(223,1),(266,1),(267,1),(274,1),(302,1)}
       244:{1,3,4,7}:{(215,1),(216,1),(222,1),(265,1),(266,1),(267,1)}
       245:{1,3,5}:{(217,1),(218,1),(226,1),(268,1)}
       246:{1,2,4,5}:{(218,1),(219,1),(221,1),(227,1),(268,1),(269,1),(270,1),(277,1),(299,1),(304,1),(305,1)}
       247:{1,3,5}:{(219,1),(220,1),(222,1),(270,1)}
       248:{1,3,6}:{(221,1),(229,1),(266,1),(269,1),(271,1)}
       249:{2,4,6}:{(222,1),(267,1),(270,1),(271,1),(272,1),(296,1),(299,1)}
       250:{3,7}:{(223,1),(229,1)}
       251:{2,4,7}:{(224,1),(225,1),(230,1),(273,1),(274,1),(302,1)}
       252:{1,5,7}:{(225,1),(231,1),(232,1),(274,1)}
       253:{2,4}:{(226,1),(233,1),(268,1),(275,1)}
       254:{3,5}:{(227,1),(229,1),(275,1)}
       255:{2,4,5}:{(228,1),(230,1),(235,1),(270,1),(276,1),(277,1),(279,1),(299,1),(304,1)}
       256:{2,3,6}:{(229,1),(230,1),(273,1),(276,1),(278,1)}
       257:{1,4,6}:{(230,1),(231,1),(274,1),(277,1),(278,1)}
       258:{1,3,4}:{(233,1),(234,1),(275,1),(279,1)}
       259:{2,3,5}:{(234,1),(235,1),(236,1),(279,1),(280,1),(304,1),(313,1)}
       260:{1,5}:{(235,1),(237,1)}
       261:{1,3,6}:{(236,1),(237,1),(238,1),(280,1),(281,1)}
       262:{1,2,7}:{(238,1),(281,1),(302,1)}
       263:{1,4,6}:{(239,1),(240,1),(241,1),(282,1)}
       264:{3,6}:{(240,1),(242,1)}
       265:{1,3,5,7}:{(241,1),(242,1),(244,1),(247,1),(282,1),(283,1)}
       266:{1,3,7}:{(243,1),(248,1),(250,1),(284,1)}
       267:{2,4,7}:{(244,1),(249,1),(283,1),(284,1),(285,1)}
       268:{1,4}:{(245,1),(253,1)}
       269:{1,3,5}:{(246,1),(248,1),(254,1),(286,1),(287,1),(311,1)}
       270:{2,5}:{(247,1),(249,1),(288,1)}
       271:{2,3,6}:{(248,1),(249,1),(284,1),(287,1),(289,1),(293,1)}
       272:{1,4,6}:{(249,1),(285,1),(288,1),(289,1),(306,1),(308,1)}
       273:{2,3,7}:{(250,1),(251,1),(256,1),(290,1)}
       274:{1,4,7}:{(251,1),(252,1),(257,1),(290,1)}
       275:{3,4}:{(253,1),(254,1)}
       276:{2,3,5}:{(254,1),(255,1),(256,1),(291,1),(292,1)}
       277:{1,4,5}:{(255,1),(257,1),(260,1),(288,1),(292,1),(294,1),(308,1)}
       278:{1,3,6}:{(256,1),(257,1),(290,1),(292,1),(293,1)}
       279:{2,4}:{(258,1),(259,1),(294,1)}
       280:{1,3,5}:{(259,1),(260,1),(261,1),(294,1),(295,1),(311,1)}
       281:{1,2,6}:{(261,1),(262,1),(293,1),(295,1)}
       282:{1,3,6}:{(263,1),(264,1),(265,1),(296,1)}
       283:{2,5,7}:{(265,1),(267,1),(270,1),(296,1),(297,1)}
       284:{2,3,7}:{(266,1),(267,1),(271,1),(298,1),(302,1)}
       285:{1,4,7}:{(267,1),(272,1),(297,1),(298,1)}
       286:{1,3,4}:{(268,1),(269,1),(275,1),(299,1)}
       287:{2,3,5}:{(269,1),(270,1),(271,1),(299,1),(300,1),(304,1),(313,1)}
       288:{1,5}:{(270,1),(272,1)}
       289:{1,3,6}:{(271,1),(272,1),(298,1),(300,1),(301,1)}
       290:{1,3,7}:{(273,1),(274,1),(278,1),(302,1)}
       291:{2,3,4}:{(275,1),(276,1),(279,1),(299,1),(303,1),(313,1)}
       292:{1,3,5}:{(276,1),(277,1),(278,1),(303,1),(304,1)}
       293:{2,6}:{(278,1),(302,1),(304,1)}
       294:{1,4}:{(279,1),(280,1)}
       295:{1,2,5}:{(280,1),(281,1),(304,1),(305,1)}
       296:{2,6}:{(282,1),(283,1),(306,1)}
       297:{1,5,7}:{(283,1),(285,1),(288,1),(306,1)}
       298:{1,3,7}:{(284,1),(285,1),(289,1),(307,1)}
       299:{2,4}:{(286,1),(287,1),(308,1)}
       300:{1,3,5}:{(287,1),(288,1),(289,1),(308,1),(309,1),(314,1)}
       301:{1,2,6}:{(289,1),(293,1),(307,1),(309,1)}
       302:{2,7}:{(290,1),(293,1)}
       303:{1,3,4}:{(291,1),(292,1),(294,1),(308,1),(310,1),(311,1),(314,1)}
       304:{2,5}:{(292,1),(293,1),(310,1)}
       305:{1,2,4}:{(294,1),(295,1),(310,1),(311,1)}
       306:{1,6}:{(296,1),(297,1)}
       307:{1,2,7}:{(298,1),(301,1),(302,1)}
       308:{1,4}:{(299,1),(300,1)}
       309:{1,2,5}:{(300,1),(301,1),(304,1),(312,1)}
       310:{2,4}:{(303,1),(304,1),(313,1)}
       311:{1,3}:{(305,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

2170 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(36,1),(38,1),(63,1),(136,1),(237,1),(240,1),(242,1),(353,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(19,1),(21,1),(58,1),(295,1),(298,1),(404,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(47,1),(95,1),(403,1)}
         3:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(36,1),(135,1),(240,1)}
         4:{1,2,3,6,7}:{(1,1),(10,1),(36,1),(90,1),(136,1),(280,1),(351,1),(354,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(8,1),(78,1),(451,1)}
         6:{1,2,4,5}:{(2,1),(9,1),(25,1),(242,1),(352,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(47,1),(57,1),(97,1),(196,1)}
         8:{1,3,4,7}:{(3,1),(5,1),(16,1),(19,1),(298,1)}
         9:{1,3,5}:{(3,1),(6,1),(17,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(119,1),(186,1),(337,1),(436,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(19,1),(21,1),(22,1),(46,1),(59,1)}
        12:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(23,1),(47,1),(107,1),(118,1),(120,1),(188,1),(191,1),(301,1),(314,1),(403,1)}
        13:{1,3,4,5}:{(9,1),(25,1),(27,1),(352,1),(367,1)}
        14:{1,2,3,6}:{(24,1),(28,1),(29,1),(160,1)}
        15:{1,3,4,6}:{(7,1),(29,1),(30,1),(31,1),(71,1),(76,1),(86,1),(160,1)}
        16:{2,3,4,7}:{(7,1),(8,1),(30,1),(33,1),(78,1),(254,1)}
        17:{2,3,5}:{(7,1),(9,1),(25,1),(31,1)}
        18:{1,3,4,6,7}:{(8,1),(10,1),(32,1),(35,1),(36,1),(91,1),(238,1),(281,1),(354,1),(390,1),(392,1),(451,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(11,1),(33,1),(36,1)}
        20:{1,3,5,6}:{(9,1),(12,1),(27,1),(34,1),(36,1),(37,1),(240,1),(370,1)}
        21:{1,2,5,7}:{(10,1),(35,1),(38,1),(168,1),(242,1)}
        22:{1,2,4,6}:{(11,1),(36,1),(38,1),(77,1),(91,1)}
        23:{1,2,4,5,7}:{(12,1),(37,1),(39,1),(78,1),(155,1),(168,1),(169,1),(244,1),(249,1),(358,1),(371,1),(451,1)}
        24:{1,2,3,5}:{(14,1),(44,1),(52,1),(111,1)}
        25:{2,4,5}:{(13,1),(17,1),(45,1),(47,1)}
        26:{1,3,4,5,7}:{(13,1),(19,1),(46,1),(48,1),(49,1),(59,1),(121,1),(129,1)}
        27:{1,3,4,6}:{(13,1),(20,1),(47,1),(49,1),(403,1),(418,1)}
        28:{1,2,3,7}:{(14,1),(51,1),(215,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(44,1),(51,1),(52,1),(124,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(51,1),(54,1),(117,1),(215,1)}
        31:{1,3,5}:{(15,1),(17,1),(45,1),(52,1)}
        32:{2,3,4,6,7}:{(16,1),(18,1),(53,1),(56,1),(57,1),(119,1),(130,1),(194,1),(224,1),(231,1),(313,1),(339,1),(342,1),(419,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(46,1),(54,1),(57,1)}
        34:{2,3,5,6}:{(17,1),(20,1),(47,1),(55,1),(57,1),(58,1),(118,1),(191,1),(196,1)}
        35:{1,3,5,7}:{(18,1),(21,1),(56,1),(59,1),(60,1),(296,1),(435,1)}
        36:{1,3,6}:{(19,1),(22,1),(57,1)}
        37:{1,3,5,7}:{(20,1),(23,1),(49,1),(58,1),(61,1),(298,1),(421,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(60,1),(118,1),(436,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(61,1),(62,1),(119,1),(132,1),(210,1),(308,1),(415,1)}
        40:{2,3,4,5}:{(25,1),(64,1),(66,1),(143,1),(245,1),(367,1)}
        41:{1,2,3,5,6}:{(24,1),(67,1),(68,1),(72,1),(84,1),(151,1),(160,1),(162,1),(248,1),(264,1),(266,1),(271,1)}
        42:{1,3,4,5,6}:{(27,1),(69,1),(70,1),(79,1),(140,1),(257,1),(259,1),(262,1),(370,1),(374,1)}
        43:{1,2,3,5,7}:{(24,1),(28,1),(72,1),(73,1),(83,1),(159,1),(162,1),(443,1),(448,1),(513,1)}
        44:{1,2,4}:{(24,1),(71,1)}
        45:{1,4,5}:{(25,1),(31,1),(76,1)}
        46:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(77,1),(78,1),(168,1)}
        47:{2,4,6}:{(25,1),(27,1),(34,1),(76,1),(78,1)}
        48:{1,3,4,6}:{(26,1),(36,1),(77,1),(79,1),(91,1),(177,1)}
        49:{1,3,4,7}:{(27,1),(37,1),(78,1),(451,1),(464,1)}
        50:{1,2,3,6,7}:{(28,1),(72,1),(81,1),(82,1),(272,1),(283,1),(391,1),(547,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(83,1)}
        52:{1,2,5}:{(29,1),(31,1)}
        53:{1,3,4,6,7}:{(30,1),(32,1),(82,1),(85,1),(86,1),(158,1),(166,1),(170,1),(175,1),(272,1),(283,1),(382,1)}
        54:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(83,1),(86,1)}
        55:{1,3,5,6}:{(31,1),(34,1),(76,1),(84,1),(86,1),(87,1),(160,1),(165,1)}
        56:{2,3,5,7}:{(32,1),(35,1),(85,1),(88,1),(89,1),(168,1),(252,1),(279,1),(388,1)}
        57:{2,3,6}:{(33,1),(36,1),(77,1),(86,1)}
        58:{2,3,5,7}:{(34,1),(37,1),(78,1),(87,1),(90,1),(168,1),(249,1),(254,1)}
        59:{1,4,5,7}:{(35,1),(88,1),(91,1),(352,1),(451,1)}
        60:{1,3,5,6}:{(35,1),(36,1),(38,1),(89,1),(91,1),(387,1),(390,1)}
        61:{1,3,6,7}:{(36,1),(37,1),(39,1),(90,1),(460,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(92,1),(168,1),(268,1),(358,1),(364,1),(476,1)}
        63:{1,2,3,5}:{(93,1),(95,1),(182,1),(184,1)}
        64:{1,3,4,5}:{(40,1),(45,1),(98,1),(100,1),(111,1),(184,1),(288,1)}
        65:{2,3,4,5,7}:{(40,1),(46,1),(99,1),(101,1),(102,1),(129,1),(195,1),(202,1),(228,1),(303,1),(311,1),(412,1),(417,1),(419,1),(479,1),(501,1)}
        66:{2,3,4,6}:{(40,1),(47,1),(96,1),(100,1),(102,1),(196,1),(304,1),(418,1)}
        67:{1,2,3,5,7}:{(41,1),(104,1),(105,1),(125,1),(205,1),(207,1),(215,1),(307,1),(329,1)}
        68:{1,2,4,6}:{(41,1),(44,1),(103,1),(105,1),(106,1),(304,1),(328,1)}
        69:{2,4,5,6}:{(42,1),(47,1),(96,1),(107,1),(108,1),(118,1),(191,1),(304,1),(410,1)}
        70:{1,3,4,5,7}:{(42,1),(49,1),(108,1),(109,1),(121,1),(192,1),(317,1),(318,1),(320,1),(421,1),(425,1)}
        71:{1,3,4}:{(44,1),(97,1),(111,1)}
        72:{1,2,3,6}:{(43,1),(113,1),(124,1),(214,1),(534,1)}
        73:{1,2,4,7}:{(43,1),(44,1),(110,1),(113,1),(486,1)}
        74:{1,2,4,5}:{(44,1),(45,1),(52,1),(98,1),(111,1),(115,1)}
        75:{1,4,5,7}:{(45,1),(46,1),(54,1),(116,1),(117,1),(221,1)}
        76:{1,4,6}:{(45,1),(47,1),(55,1),(117,1)}
        77:{2,4,6}:{(46,1),(48,1),(57,1),(116,1),(118,1)}
        78:{2,4,7}:{(47,1),(49,1),(58,1),(117,1)}
        79:{1,3,5,6}:{(48,1),(118,1),(120,1),(121,1),(222,1)}
        80:{1,3,4,6,7}:{(48,1),(49,1),(61,1),(119,1),(121,1),(132,1),(231,1)}
        81:{1,2,3,5,7}:{(50,1),(112,1),(122,1),(123,1),(225,1),(329,1),(434,1),(539,1),(552,1)}
        82:{1,2,4,6,7}:{(50,1),(51,1),(53,1),(113,1),(122,1),(123,1),(124,1),(226,1),(342,1)}
        83:{1,2,5,7}:{(51,1),(52,1),(54,1),(124,1)}
        84:{1,2,5,6}:{(52,1),(55,1),(115,1),(124,1),(125,1),(191,1)}
        85:{1,3,5,7}:{(53,1),(56,1),(123,1),(126,1),(127,1),(213,1),(221,1)}
        86:{1,3,6}:{(54,1),(57,1),(116,1),(124,1)}
        87:{1,3,5,7}:{(55,1),(58,1),(117,1),(125,1),(128,1),(215,1),(221,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(126,1),(129,1),(130,1),(311,1),(419,1)}
        89:{2,3,5,6}:{(56,1),(57,1),(60,1),(118,1),(127,1),(130,1),(222,1),(335,1),(339,1)}
        90:{2,3,6,7}:{(57,1),(58,1),(61,1),(119,1),(128,1),(308,1)}
        91:{1,4,6}:{(59,1),(60,1),(130,1)}
        92:{1,3,5,6,7}:{(60,1),(61,1),(62,1),(121,1),(131,1),(132,1),(404,1),(435,1),(437,1)}
        93:{1,2,3,6}:{(63,1),(133,1),(134,1),(240,1)}
        94:{1,2,3,5,7}:{(63,1),(133,1),(136,1),(137,1),(236,1),(239,1),(242,1),(280,1),(379,1),(389,1)}
        95:{1,2,4}:{(63,1),(135,1)}
        96:{2,3,5,6}:{(66,1),(69,1),(140,1),(141,1),(370,1)}
        97:{2,3,4}:{(71,1),(135,1),(143,1)}
        98:{2,4,5}:{(64,1),(143,1),(145,1)}
        99:{1,3,4,5,7}:{(64,1),(65,1),(75,1),(144,1),(146,1),(147,1),(159,1),(239,1),(258,1),(270,1),(285,1),(343,1),(352,1),(367,1),(382,1),(451,1),(462,1),(464,1),(510,1),(526,1)}
       100:{1,3,4,6}:{(64,1),(66,1),(76,1),(140,1),(145,1),(147,1),(160,1),(240,1),(344,1)}
       101:{2,3,4,6}:{(65,1),(77,1),(146,1),(148,1),(177,1),(253,1),(286,1),(359,1),(368,1),(458,1),(511,1)}
       102:{2,3,4,7}:{(66,1),(78,1),(141,1),(147,1),(254,1),(360,1),(464,1)}
       103:{1,3,4,6}:{(68,1),(71,1),(139,1),(150,1),(151,1),(160,1),(264,1)}
       104:{1,2,3,6,7}:{(67,1),(72,1),(152,1),(173,1),(264,1),(272,1),(363,1),(443,1)}
       105:{1,2,4,7}:{(67,1),(68,1),(150,1),(360,1),(382,1)}
       106:{1,2,4,5}:{(68,1),(151,1),(162,1),(245,1),(270,1)}
       107:{1,4,5,6}:{(69,1),(76,1),(140,1),(155,1),(165,1),(344,1),(438,1)}
       108:{2,4,5,7}:{(69,1),(70,1),(78,1),(141,1),(155,1),(156,1),(168,1),(249,1),(360,1),(457,1)}
       109:{1,3,4,6,7}:{(70,1),(156,1),(157,1),(250,1),(365,1),(366,1),(460,1)}
       110:{1,3,4,7}:{(71,1),(73,1),(142,1),(158,1),(159,1),(382,1),(516,1)}
       111:{1,3,5}:{(71,1),(74,1),(143,1),(160,1)}
       112:{1,2,3,5,6}:{(72,1),(81,1),(161,1),(162,1),(172,1),(271,1),(274,1),(283,1),(385,1),(448,1),(520,1),(548,1)}
       113:{1,2,4,6}:{(72,1),(73,1),(158,1),(162,1)}
       114:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(83,1),(144,1),(159,1),(162,1),(163,1),(164,1),(270,1),(276,1),(382,1),(510,1),(513,1),(517,1),(549,1)}
       115:{1,2,4,6}:{(74,1),(76,1),(84,1),(145,1),(160,1),(164,1)}
       116:{1,4,6}:{(75,1),(77,1),(86,1),(165,1)}
       117:{1,4,7}:{(76,1),(78,1),(87,1)}
       118:{2,5,6}:{(77,1),(79,1),(165,1),(168,1)}
       119:{2,4,6,7}:{(77,1),(78,1),(80,1),(90,1),(166,1),(168,1)}
       120:{1,4,5,6}:{(79,1),(91,1),(167,1),(169,1),(387,1)}
       121:{1,3,5,7}:{(79,1),(80,1),(168,1),(169,1),(279,1)}
       122:{1,2,4,7}:{(81,1),(161,1),(170,1),(382,1),(473,1)}
       123:{1,2,5,7}:{(82,1),(85,1),(162,1),(172,1),(388,1)}
       124:{1,2,6}:{(83,1),(86,1)}
       125:{1,2,5,7}:{(84,1),(87,1),(164,1),(173,1),(249,1)}
       126:{1,4,5,7}:{(85,1),(88,1),(175,1),(270,1),(382,1)}
       127:{1,3,5,6}:{(85,1),(86,1),(89,1),(165,1),(172,1),(175,1),(283,1)}
       128:{1,3,6,7}:{(86,1),(87,1),(90,1),(166,1),(173,1)}
       129:{3,4,5,7}:{(88,1),(177,1),(279,1),(367,1),(464,1)}
       130:{2,4,6}:{(88,1),(89,1),(91,1),(175,1),(177,1)}
       131:{2,3,5,6,7}:{(89,1),(90,1),(92,1),(168,1),(176,1),(178,1),(279,1),(364,1),(369,1),(388,1),(391,1),(460,1)}
       132:{1,4,6,7}:{(91,1),(92,1),(169,1),(178,1),(451,1)}
       133:{1,2,3,7}:{(93,1),(181,1),(298,1)}
       134:{1,2,4,6}:{(93,1),(95,1),(179,1),(181,1),(182,1),(294,1)}
       135:{1,3,4}:{(95,1),(97,1),(184,1)}
       136:{1,2,3,6}:{(94,1),(186,1),(294,1),(297,1),(436,1)}
       137:{1,2,4,7}:{(94,1),(95,1),(183,1),(186,1),(428,1)}
       138:{1,2,4,5}:{(95,1),(98,1),(182,1),(184,1),(188,1),(288,1)}
       139:{2,3,4,6}:{(97,1),(103,1),(179,1),(189,1),(190,1),(196,1),(304,1),(306,1)}
       140:{1,3,5,6}:{(96,1),(100,1),(107,1),(191,1),(192,1)}
       141:{2,3,5,7}:{(96,1),(102,1),(108,1),(192,1),(193,1),(421,1)}
       142:{2,3,4,7}:{(97,1),(110,1),(183,1),(194,1),(195,1),(419,1),(498,1)}
       143:{2,3,5}:{(97,1),(98,1),(111,1),(184,1),(196,1)}
       144:{2,4,5,7}:{(98,1),(99,1),(195,1),(197,1),(198,1),(311,1),(315,1),(419,1),(499,1),(542,1)}
       145:{2,4,6}:{(98,1),(100,1),(191,1),(196,1),(198,1)}
       146:{1,3,4,6}:{(99,1),(101,1),(116,1),(197,1),(199,1),(214,1),(297,1),(328,1),(341,1),(393,1),(403,1),(418,1),(532,1)}
       147:{1,3,4,7}:{(100,1),(102,1),(117,1),(192,1),(198,1),(215,1),(298,1),(394,1)}
       148:{2,3,5,6}:{(101,1),(118,1),(199,1),(201,1),(202,1),(222,1),(335,1),(410,1),(493,1),(530,1)}
       149:{2,3,4,6,7}:{(101,1),(102,1),(119,1),(193,1),(200,1),(202,1),(231,1),(310,1),(313,1),(342,1),(411,1),(419,1),(495,1),(496,1),(501,1),(533,1)}
       150:{1,3,4,7}:{(103,1),(105,1),(189,1),(205,1),(215,1)}
       151:{1,3,5}:{(103,1),(106,1),(190,1)}
       152:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(204,1),(207,1),(208,1),(411,1),(482,1),(534,1)}
       153:{1,2,4,5,7}:{(105,1),(106,1),(205,1),(207,1),(208,1),(303,1),(321,1)}
       154:{1,2,4,5,6}:{(106,1),(107,1),(115,1),(191,1),(206,1),(208,1),(209,1),(218,1),(304,1),(314,1),(328,1),(410,1),(424,1)}
       155:{1,4,5,7}:{(107,1),(108,1),(117,1),(192,1),(210,1),(221,1),(394,1),(478,1)}
       156:{2,4,6,7}:{(108,1),(109,1),(193,1),(210,1),(211,1),(308,1)}
       157:{1,3,5,6,7}:{(109,1),(121,1),(211,1),(212,1),(326,1),(425,1)}
       158:{1,3,4,6}:{(110,1),(113,1),(194,1),(213,1),(214,1),(328,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(195,1),(213,1),(214,1),(215,1),(536,1),(552,1)}
       160:{1,3,6}:{(111,1),(115,1),(196,1),(215,1)}
       161:{1,2,4,6}:{(112,1),(122,1),(216,1),(217,1),(328,1),(430,1),(486,1)}
       162:{1,2,5}:{(113,1),(213,1)}
       163:{1,2,4,6}:{(114,1),(116,1),(124,1),(197,1),(214,1),(218,1),(328,1),(532,1),(534,1)}
       164:{1,2,4,7}:{(115,1),(117,1),(125,1),(198,1),(215,1)}
       165:{1,5,6}:{(116,1),(118,1),(221,1)}
       166:{1,4,6,7}:{(116,1),(117,1),(119,1),(128,1),(221,1)}
       167:{2,4,5,6}:{(118,1),(120,1),(130,1),(220,1),(222,1),(223,1),(335,1)}
       168:{2,5,7}:{(118,1),(119,1),(121,1),(221,1)}
       169:{1,4,5,7}:{(120,1),(121,1),(132,1),(223,1),(435,1)}
       170:{1,3,4,7}:{(122,1),(216,1),(224,1),(225,1),(552,1)}
       171:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(217,1),(225,1),(226,1),(228,1)}
       172:{1,2,5,6}:{(123,1),(124,1),(127,1),(226,1),(335,1)}
       173:{1,2,6,7}:{(124,1),(125,1),(128,1),(308,1)}
       174:{1,3,4,5,7}:{(126,1),(129,1),(225,1),(228,1),(229,1),(327,1),(336,1),(431,1)}
       175:{1,4,6}:{(126,1),(127,1),(130,1)}
       176:{1,3,5,6,7}:{(127,1),(128,1),(131,1),(221,1),(227,1),(230,1),(329,1),(336,1),(340,1)}
       177:{3,4,6}:{(129,1),(130,1),(222,1)}
       178:{2,4,6,7}:{(130,1),(131,1),(132,1),(223,1),(230,1),(231,1),(419,1)}
       179:{1,3,4,6}:{(134,1),(135,1),(139,1),(232,1),(233,1),(240,1),(344,1),(346,1)}
       180:{1,2,3,6,7}:{(133,1),(136,1),(234,1),(235,1),(354,1),(446,1),(476,1),(515,1)}
       181:{1,2,4,7}:{(133,1),(134,1),(232,1),(236,1)}
       182:{1,2,5}:{(134,1),(233,1)}
       183:{1,3,4,7}:{(135,1),(137,1),(142,1),(238,1),(239,1),(451,1),(470,1)}
       184:{1,3,5}:{(135,1),(138,1),(143,1),(240,1)}
       185:{1,2,3,5,6}:{(136,1),(234,1),(241,1),(242,1),(350,1),(353,1),(356,1),(379,1),(446,1),(454,1),(474,1),(528,1)}
       186:{1,2,4,6}:{(136,1),(137,1),(238,1),(242,1)}
       187:{1,2,4,5,7}:{(137,1),(138,1),(144,1),(236,1),(239,1),(242,1),(243,1),(244,1),(285,1),(343,1),(352,1),(358,1),(389,1),(451,1),(471,1),(529,1)}
       188:{1,2,4,6}:{(138,1),(145,1),(237,1),(240,1),(244,1),(344,1)}
       189:{2,3,4,7}:{(139,1),(150,1),(232,1),(247,1),(254,1),(360,1)}
       190:{2,3,5}:{(139,1),(151,1),(233,1),(245,1)}
       191:{2,5,6}:{(140,1),(145,1),(249,1)}
       192:{1,3,5,7}:{(140,1),(141,1),(147,1),(155,1),(249,1),(250,1)}
       193:{2,3,6,7}:{(141,1),(156,1),(250,1),(460,1)}
       194:{2,3,4,6}:{(142,1),(158,1),(238,1),(252,1),(253,1),(368,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(144,1),(159,1),(239,1),(252,1),(253,1),(254,1),(524,1),(550,1)}
       196:{2,3,6}:{(143,1),(145,1),(160,1),(240,1),(254,1)}
       197:{2,4,6}:{(144,1),(146,1),(253,1),(255,1)}
       198:{2,4,7}:{(145,1),(147,1),(249,1),(254,1)}
       199:{1,3,5,6}:{(146,1),(148,1),(165,1),(255,1),(257,1),(258,1),(370,1),(387,1),(438,1),(544,1)}
       200:{1,3,4,6,7}:{(146,1),(147,1),(149,1),(166,1),(250,1),(256,1),(258,1),(272,1),(354,1),(365,1),(382,1),(392,1),(439,1),(451,1),(460,1),(464,1),(523,1),(526,1),(546,1)}
       201:{2,4,5,6}:{(148,1),(257,1),(259,1),(260,1),(368,1)}
       202:{2,3,5,7}:{(148,1),(149,1),(168,1),(258,1),(260,1),(279,1),(388,1),(457,1),(522,1),(545,1)}
       203:{1,3,4,5}:{(151,1),(245,1),(262,1),(270,1),(367,1)}
       204:{1,3,4,6,7}:{(150,1),(152,1),(158,1),(246,1),(263,1),(264,1),(272,1),(376,1),(382,1),(444,1),(514,1),(546,1)}
       205:{1,3,5,7}:{(150,1),(151,1),(153,1),(247,1),(264,1)}
       206:{1,3,5,6}:{(151,1),(154,1),(160,1),(248,1),(262,1),(264,1),(265,1),(370,1)}
       207:{1,2,5,7}:{(152,1),(162,1),(263,1),(266,1),(457,1)}
       208:{1,2,4,6}:{(153,1),(264,1),(266,1),(359,1),(376,1)}
       209:{1,2,4,5,7}:{(154,1),(155,1),(164,1),(249,1),(265,1),(267,1),(276,1),(360,1),(371,1),(382,1),(457,1),(468,1)}
       210:{1,4,6,7}:{(155,1),(156,1),(250,1),(268,1)}
       211:{2,5,6,7}:{(156,1),(157,1),(168,1),(268,1),(457,1)}
       212:{1,4,5,6,7}:{(157,1),(169,1),(269,1),(365,1),(468,1),(469,1)}
       213:{1,3,5}:{(158,1),(162,1),(252,1),(270,1)}
       214:{1,3,6}:{(159,1),(163,1),(253,1)}
       215:{1,3,7}:{(160,1),(164,1),(254,1)}
       216:{1,3,4,6}:{(161,1),(170,1),(273,1),(274,1),(283,1),(516,1),(548,1)}
       217:{1,2,4,5}:{(161,1),(162,1),(270,1),(274,1),(380,1)}
       218:{1,2,5,6}:{(162,1),(163,1),(165,1),(255,1),(271,1),(276,1),(544,1)}
       219:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(173,1),(256,1),(272,1),(276,1),(382,1),(546,1),(547,1),(549,1)}
       220:{1,4,5,6}:{(165,1),(167,1),(175,1),(277,1),(278,1)}
       221:{1,5,7}:{(165,1),(166,1),(168,1)}
       222:{3,5,6}:{(167,1),(177,1),(279,1)}
       223:{2,4,5,7}:{(167,1),(168,1),(169,1),(178,1),(278,1),(279,1),(388,1)}
       224:{2,3,4,7}:{(170,1),(273,1),(281,1),(282,1),(473,1),(550,1)}
       225:{1,3,5,7}:{(170,1),(171,1),(274,1),(282,1),(283,1)}
       226:{1,2,4,6}:{(171,1),(172,1),(175,1),(283,1),(286,1)}
       227:{1,2,5,6,7}:{(172,1),(173,1),(176,1),(276,1),(284,1),(364,1),(388,1),(469,1)}
       228:{2,4,5,7}:{(174,1),(282,1),(285,1),(286,1),(380,1),(388,1),(473,1)}
       229:{1,3,4,6}:{(174,1),(175,1),(177,1),(277,1),(283,1),(286,1)}
       230:{1,4,6,7}:{(175,1),(176,1),(178,1),(278,1),(382,1)}
       231:{3,4,6,7}:{(177,1),(178,1),(279,1),(460,1),(464,1)}
       232:{1,3,4,7}:{(179,1),(181,1),(189,1),(290,1),(298,1),(394,1)}
       233:{1,3,5}:{(179,1),(182,1),(190,1),(288,1)}
       234:{1,2,3,5,7}:{(180,1),(185,1),(292,1),(293,1),(399,1),(404,1),(492,1),(507,1),(543,1)}
       235:{1,2,4,6,7}:{(180,1),(181,1),(186,1),(289,1),(292,1),(293,1),(294,1),(400,1),(533,1)}
       236:{1,2,5,7}:{(181,1),(182,1),(290,1),(294,1)}
       237:{1,2,5,6}:{(182,1),(188,1),(191,1),(291,1),(294,1),(295,1)}
       238:{1,3,4,6}:{(183,1),(186,1),(194,1),(296,1),(297,1),(403,1)}
       239:{1,3,5,7}:{(183,1),(184,1),(187,1),(195,1),(296,1),(297,1),(298,1),(504,1),(543,1)}
       240:{1,3,6}:{(184,1),(188,1),(196,1),(298,1)}
       241:{1,2,4,6}:{(185,1),(292,1),(299,1),(300,1),(403,1),(428,1),(488,1)}
       242:{1,2,5}:{(186,1),(296,1)}
       243:{1,2,4,6}:{(187,1),(197,1),(294,1),(297,1),(301,1),(341,1),(393,1),(403,1),(436,1)}
       244:{1,2,4,7}:{(188,1),(198,1),(295,1),(298,1),(394,1)}
       245:{2,4,5}:{(190,1),(203,1),(288,1),(304,1)}
       246:{2,3,4,6,7}:{(189,1),(194,1),(204,1),(289,1),(305,1),(306,1),(313,1),(398,1),(411,1),(413,1),(419,1),(484,1),(495,1),(533,1)}
       247:{2,3,5,7}:{(189,1),(190,1),(205,1),(290,1),(303,1),(306,1)}
       248:{2,3,5,6}:{(190,1),(191,1),(196,1),(206,1),(291,1),(304,1),(306,1),(307,1),(410,1)}
       249:{2,5,7}:{(191,1),(192,1),(198,1),(308,1)}
       250:{1,3,6,7}:{(192,1),(193,1),(210,1),(308,1)}
       251:{2,3,5,6,7}:{(193,1),(202,1),(211,1),(309,1),(310,1),(326,1),(427,1),(496,1)}
       252:{2,3,5}:{(194,1),(213,1),(296,1),(311,1)}
       253:{2,3,6}:{(195,1),(197,1),(214,1),(297,1)}
       254:{2,3,7}:{(196,1),(198,1),(215,1),(298,1)}
       255:{2,5,6}:{(197,1),(199,1),(315,1)}
       256:{2,4,6,7}:{(197,1),(198,1),(200,1),(308,1),(313,1),(315,1),(419,1),(540,1),(542,1)}
       257:{1,4,5,6}:{(199,1),(201,1),(314,1),(317,1),(328,1),(403,1)}
       258:{1,3,5,7}:{(199,1),(200,1),(202,1),(221,1),(315,1),(317,1),(421,1),(435,1),(478,1),(551,1)}
       259:{3,4,5,6}:{(201,1),(222,1),(318,1),(418,1),(493,1)}
       260:{2,4,5,7}:{(201,1),(202,1),(310,1),(317,1),(318,1),(419,1)}
       261:{1,3,4,5,7}:{(203,1),(205,1),(303,1),(319,1),(320,1),(321,1),(412,1),(425,1)}
       262:{1,3,4,6}:{(203,1),(206,1),(304,1),(320,1),(328,1),(418,1)}
       263:{1,3,5,7}:{(204,1),(207,1),(213,1),(305,1),(321,1),(322,1),(551,1)}
       264:{1,3,6}:{(205,1),(208,1),(306,1)}
       265:{1,3,5,7}:{(206,1),(209,1),(215,1),(307,1),(320,1),(323,1),(421,1)}
       266:{1,2,5,6}:{(207,1),(208,1),(322,1),(410,1),(534,1)}
       267:{1,2,4,6,7}:{(208,1),(209,1),(210,1),(308,1),(323,1),(324,1),(411,1),(415,1),(426,1)}
       268:{1,5,6,7}:{(210,1),(211,1),(221,1),(478,1)}
       269:{2,4,5,6,7}:{(211,1),(212,1),(223,1),(310,1),(325,1),(326,1),(415,1),(427,1),(494,1)}
       270:{1,4,5}:{(213,1),(311,1),(328,1)}
       271:{1,3,5,6}:{(213,1),(214,1),(218,1),(312,1),(328,1),(329,1)}
       272:{1,3,6,7}:{(214,1),(215,1),(219,1),(313,1),(329,1),(552,1)}
       273:{2,3,4,6}:{(216,1),(224,1),(331,1),(332,1),(339,1),(430,1),(498,1),(541,1)}
       274:{1,3,5}:{(216,1),(217,1),(332,1)}
       275:{1,2,4,5,6}:{(217,1),(218,1),(220,1),(226,1),(314,1),(328,1),(333,1),(334,1),(335,1),(422,1),(430,1),(502,1),(537,1)}
       276:{1,2,5,7}:{(218,1),(219,1),(221,1),(315,1),(329,1),(551,1)}
       277:{1,3,5,6}:{(220,1),(222,1),(229,1),(335,1),(336,1)}
       278:{1,4,5,7}:{(220,1),(221,1),(223,1),(230,1),(336,1)}
       279:{3,5,7}:{(222,1),(223,1),(231,1)}
       280:{1,2,3,7}:{(330,1),(337,1),(543,1)}
       281:{1,3,4,7}:{(224,1),(331,1),(337,1),(338,1),(506,1),(543,1)}
       282:{2,3,5,7}:{(224,1),(225,1),(228,1),(332,1),(338,1),(339,1)}
       283:{1,3,6}:{(225,1),(226,1),(339,1)}
       284:{1,2,4,6,7}:{(226,1),(227,1),(230,1),(334,1),(340,1),(342,1),(415,1),(497,1),(540,1)}
       285:{1,4,5,7}:{(228,1),(338,1),(341,1),(429,1),(435,1),(506,1)}
       286:{2,4,6}:{(228,1),(229,1),(335,1),(339,1),(341,1)}
       287:{1,3,4,6,7}:{(229,1),(230,1),(231,1),(336,1),(340,1),(342,1),(431,1)}
       288:{1,4,5}:{(233,1),(245,1),(344,1)}
       289:{1,3,4,6,7}:{(232,1),(235,1),(238,1),(246,1),(345,1),(346,1),(348,1),(354,1),(439,1),(441,1),(446,1),(451,1)}
       290:{1,3,5,7}:{(232,1),(233,1),(236,1),(247,1),(343,1),(346,1)}
       291:{1,3,5,6}:{(233,1),(237,1),(240,1),(248,1),(344,1),(346,1),(347,1),(438,1)}
       292:{1,2,4,7}:{(234,1),(241,1),(348,1),(451,1),(519,1)}
       293:{1,2,5,7}:{(235,1),(242,1),(345,1),(350,1),(545,1)}
       294:{1,2,6}:{(236,1),(346,1)}
       295:{1,2,5,7}:{(237,1),(244,1),(249,1),(347,1),(351,1)}
       296:{1,3,5}:{(238,1),(242,1),(252,1),(352,1)}
       297:{1,3,6}:{(239,1),(243,1),(253,1)}
       298:{1,3,7}:{(240,1),(244,1),(254,1)}
       299:{1,3,4,6}:{(241,1),(348,1),(355,1),(356,1),(446,1),(470,1),(528,1)}
       300:{1,2,4,5}:{(241,1),(242,1),(352,1),(356,1),(449,1)}
       301:{1,2,5,6}:{(242,1),(243,1),(255,1),(353,1),(358,1),(387,1),(438,1)}
       302:{1,2,4,6,7}:{(243,1),(244,1),(256,1),(351,1),(354,1),(358,1),(392,1),(439,1),(451,1),(476,1),(529,1)}
       303:{2,4,5,7}:{(245,1),(247,1),(261,1),(343,1),(359,1),(360,1),(457,1)}
       304:{2,4,6}:{(245,1),(248,1),(262,1),(344,1),(360,1)}
       305:{2,3,5,7}:{(246,1),(252,1),(263,1),(345,1),(361,1),(362,1),(457,1),(522,1),(545,1)}
       306:{2,3,6}:{(247,1),(264,1),(346,1),(359,1)}
       307:{2,3,5,7}:{(248,1),(249,1),(254,1),(265,1),(347,1),(360,1),(363,1),(457,1)}
       308:{2,6,7}:{(249,1),(250,1)}
       309:{1,3,5,6,7}:{(250,1),(251,1),(258,1),(268,1),(364,1),(365,1),(460,1),(469,1),(523,1)}
       310:{2,4,6,7}:{(251,1),(260,1),(365,1),(366,1)}
       311:{2,4,5}:{(252,1),(270,1),(352,1),(367,1),(368,1)}
       312:{2,3,5,6}:{(252,1),(253,1),(255,1),(271,1),(353,1),(368,1),(369,1),(370,1)}
       313:{2,3,6,7}:{(253,1),(254,1),(256,1),(272,1),(354,1),(369,1),(460,1),(550,1)}
       314:{2,4,5,6}:{(255,1),(257,1),(368,1),(370,1),(371,1)}
       315:{2,5,7}:{(255,1),(256,1),(258,1)}
       316:{1,3,4,5,6}:{(257,1),(259,1),(277,1),(370,1),(372,1),(373,1),(381,1),(450,1),(465,1),(508,1)}
       317:{1,4,5,7}:{(257,1),(258,1),(260,1),(365,1),(371,1),(382,1),(451,1)}
       318:{3,4,5,7}:{(259,1),(260,1),(279,1),(366,1),(464,1),(522,1)}
       319:{1,3,4,6}:{(261,1),(264,1),(359,1),(374,1),(376,1),(458,1)}
       320:{1,3,4,7}:{(262,1),(265,1),(360,1),(382,1),(464,1)}
       321:{1,4,5,7}:{(263,1),(270,1),(361,1),(376,1),(382,1)}
       322:{1,3,5,6}:{(263,1),(264,1),(266,1),(362,1),(376,1),(514,1),(544,1)}
       323:{1,3,6,7}:{(264,1),(265,1),(267,1),(363,1),(460,1)}
       324:{1,2,5,6,7}:{(266,1),(267,1),(268,1),(276,1),(364,1),(377,1),(457,1),(547,1)}
       325:{1,4,5,6,7}:{(268,1),(269,1),(278,1),(365,1),(378,1),(509,1)}
       326:{3,5,6,7}:{(269,1),(279,1),(366,1),(460,1),(522,1)}
       327:{1,3,4,5}:{(270,1),(274,1),(367,1),(380,1),(381,1)}
       328:{1,4,6}:{(270,1),(271,1),(368,1),(382,1)}
       329:{1,3,5,7}:{(271,1),(272,1),(276,1),(369,1),(382,1)}
       330:{1,2,3,6}:{(280,1),(379,1),(383,1),(528,1)}
       331:{1,3,4,6}:{(273,1),(281,1),(383,1),(384,1),(390,1),(470,1),(472,1),(528,1)}
       332:{2,3,5}:{(273,1),(274,1),(380,1),(384,1)}
       333:{1,3,5,6}:{(274,1),(275,1),(283,1),(370,1),(381,1),(385,1),(386,1),(548,1)}
       334:{1,2,4,5,7}:{(275,1),(276,1),(278,1),(284,1),(371,1),(382,1),(386,1),(388,1),(467,1),(473,1),(527,1),(549,1)}
       335:{2,5,6}:{(277,1),(286,1),(387,1),(388,1)}
       336:{1,3,5,7}:{(277,1),(278,1),(279,1),(287,1),(388,1)}
       337:{1,2,4,7}:{(280,1),(281,1),(383,1),(389,1)}
       338:{1,3,5,7}:{(281,1),(282,1),(285,1),(384,1),(389,1),(390,1)}
       339:{2,3,6}:{(282,1),(283,1),(286,1),(390,1)}
       340:{1,3,6,7}:{(283,1),(284,1),(386,1),(391,1),(460,1)}
       341:{1,4,6}:{(285,1),(286,1),(387,1),(390,1)}
       342:{2,4,6,7}:{(286,1),(287,1),(388,1),(391,1),(392,1),(473,1)}
       343:{1,4,5,7}:{(288,1),(290,1),(303,1),(393,1),(394,1),(478,1)}
       344:{1,4,6}:{(288,1),(291,1),(304,1),(394,1)}
       345:{1,3,5,7}:{(289,1),(293,1),(296,1),(305,1),(395,1),(396,1),(478,1)}
       346:{1,3,6}:{(290,1),(294,1),(306,1),(393,1)}
       347:{1,3,5,7}:{(291,1),(295,1),(298,1),(307,1),(394,1),(397,1),(478,1)}
       348:{1,3,4,7}:{(292,1),(299,1),(398,1),(399,1),(543,1)}
       349:{1,2,4,5,7}:{(292,1),(293,1),(300,1),(395,1),(399,1),(400,1),(479,1)}
       350:{1,2,5,6}:{(293,1),(294,1),(396,1),(400,1),(530,1)}
       351:{1,2,6,7}:{(294,1),(295,1),(308,1),(397,1)}
       352:{1,4,5}:{(296,1),(311,1),(403,1)}
       353:{1,3,5,6}:{(296,1),(297,1),(301,1),(312,1),(403,1),(404,1)}
       354:{1,3,6,7}:{(297,1),(298,1),(302,1),(313,1),(404,1),(543,1)}
       355:{2,3,4,6}:{(299,1),(398,1),(406,1),(407,1),(484,1),(488,1),(498,1),(541,1)}
       356:{1,3,5}:{(299,1),(300,1),(407,1)}
       357:{1,2,4,5,6}:{(300,1),(301,1),(314,1),(400,1),(403,1),(408,1),(409,1),(422,1),(477,1),(488,1),(502,1),(505,1),(530,1)}
       358:{1,2,5,7}:{(301,1),(302,1),(315,1),(404,1),(435,1),(478,1)}
       359:{2,4,6}:{(303,1),(306,1),(319,1),(393,1),(410,1)}
       360:{2,4,7}:{(304,1),(307,1),(320,1),(394,1)}
       361:{2,4,5,7}:{(305,1),(311,1),(321,1),(395,1),(412,1),(413,1),(419,1)}
       362:{2,3,5,6}:{(305,1),(306,1),(322,1),(396,1),(410,1),(413,1),(484,1),(493,1),(530,1)}
       363:{2,3,6,7}:{(306,1),(307,1),(308,1),(323,1),(397,1),(411,1)}
       364:{2,5,6,7}:{(308,1),(309,1),(315,1),(415,1),(540,1)}
       365:{1,4,6,7}:{(309,1),(310,1),(317,1),(415,1)}
       366:{3,4,6,7}:{(310,1),(318,1),(326,1)}
       367:{3,4,5}:{(311,1),(418,1)}
       368:{2,4,6}:{(311,1),(312,1),(328,1),(403,1),(418,1),(419,1)}
       369:{2,3,5,7}:{(312,1),(313,1),(315,1),(329,1),(404,1),(419,1),(421,1)}
       370:{3,5,6}:{(314,1),(418,1),(421,1)}
       371:{2,4,5,7}:{(314,1),(315,1),(317,1),(415,1),(419,1),(421,1)}
       372:{2,4,5,6}:{(316,1),(335,1),(420,1),(422,1),(423,1),(430,1),(488,1),(502,1),(530,1)}
       373:{1,3,4,5,7}:{(316,1),(317,1),(318,1),(336,1),(416,1),(421,1),(423,1),(431,1),(489,1),(503,1),(531,1)}
       374:{1,3,5,6}:{(319,1),(410,1),(424,1),(425,1),(493,1)}
       375:{1,3,4,6,7}:{(319,1),(320,1),(323,1),(411,1),(425,1),(426,1),(495,1)}
       376:{1,4,6}:{(321,1),(322,1),(413,1)}
       377:{1,3,5,6,7}:{(322,1),(323,1),(324,1),(329,1),(414,1),(425,1),(426,1),(535,1),(551,1)}
       378:{1,3,5,6,7}:{(325,1),(326,1),(336,1),(416,1),(427,1),(531,1)}
       379:{1,2,3,5}:{(330,1),(428,1),(432,1),(504,1)}
       380:{2,4,5}:{(327,1),(332,1),(429,1),(430,1)}
       381:{1,3,4,6}:{(327,1),(328,1),(333,1),(418,1),(430,1),(431,1)}
       382:{1,4,7}:{(328,1),(329,1),(419,1)}
       383:{1,2,4,6}:{(330,1),(331,1),(337,1),(428,1),(432,1),(436,1)}
       384:{1,3,5}:{(331,1),(332,1),(429,1),(432,1)}
       385:{2,3,5,6}:{(332,1),(333,1),(335,1),(339,1),(430,1),(433,1),(434,1),(502,1),(541,1)}
       386:{1,3,5,7}:{(333,1),(334,1),(340,1),(421,1),(431,1),(434,1),(552,1)}
       387:{1,5,6}:{(335,1),(341,1),(435,1)}
       388:{2,5,7}:{(335,1),(336,1),(342,1),(435,1)}
       389:{1,2,5,7}:{(337,1),(338,1),(432,1),(436,1)}
       390:{1,3,6}:{(338,1),(339,1),(341,1),(436,1)}
       391:{2,3,6,7}:{(339,1),(340,1),(342,1),(434,1),(437,1),(540,1)}
       392:{1,4,6,7}:{(341,1),(342,1),(435,1),(437,1),(506,1)}
       393:{1,4,6}:{(343,1),(346,1),(359,1),(438,1)}
       394:{1,4,7}:{(344,1),(347,1),(360,1)}
       395:{1,4,5,7}:{(345,1),(352,1),(361,1),(441,1),(451,1)}
       396:{1,3,5,6}:{(345,1),(346,1),(350,1),(362,1),(438,1),(441,1),(446,1)}
       397:{1,3,6,7}:{(346,1),(347,1),(351,1),(363,1),(439,1)}
       398:{2,3,4,7}:{(348,1),(355,1),(444,1),(445,1),(519,1),(550,1)}
       399:{1,3,5,7}:{(348,1),(349,1),(356,1),(445,1),(446,1)}
       400:{1,2,4,6}:{(349,1),(350,1),(441,1),(446,1),(511,1)}
       401:{1,2,5,6,7}:{(350,1),(351,1),(358,1),(364,1),(442,1),(447,1),(469,1),(545,1)}
       402:{1,3,4,5}:{(352,1),(356,1),(367,1),(449,1),(450,1)}
       403:{1,4,6}:{(352,1),(353,1),(368,1),(451,1)}
       404:{1,3,5,7}:{(353,1),(354,1),(358,1),(369,1),(451,1)}
       405:{1,2,3,6}:{(443,1),(448,1),(452,1),(548,1)}
       406:{1,3,4,6}:{(355,1),(444,1),(452,1),(453,1),(514,1),(516,1),(518,1),(548,1)}
       407:{2,3,5}:{(355,1),(356,1),(449,1),(453,1)}
       408:{1,3,5,6}:{(356,1),(357,1),(370,1),(446,1),(450,1),(454,1),(455,1),(528,1)}
       409:{1,2,4,5,7}:{(357,1),(358,1),(371,1),(447,1),(451,1),(455,1),(467,1),(509,1),(519,1),(527,1),(529,1),(545,1)}
       410:{2,5,6}:{(359,1),(374,1),(438,1),(457,1)}
       411:{2,4,6,7}:{(359,1),(360,1),(363,1),(375,1),(439,1),(457,1)}
       412:{3,4,5,7}:{(361,1),(367,1),(458,1),(464,1),(522,1)}
       413:{2,4,6}:{(361,1),(362,1),(376,1),(441,1),(458,1)}
       414:{2,3,5,6,7}:{(362,1),(363,1),(364,1),(369,1),(377,1),(442,1),(457,1),(459,1),(460,1),(515,1),(522,1),(545,1)}
       415:{2,4,6,7}:{(364,1),(365,1),(371,1),(460,1)}
       416:{1,3,4,6,7}:{(365,1),(366,1),(373,1),(378,1),(460,1),(461,1),(523,1)}
       417:{2,3,4,5}:{(367,1),(380,1),(449,1),(462,1),(463,1),(524,1)}
       418:{3,4,6}:{(367,1),(368,1),(370,1),(464,1)}
       419:{2,4,7}:{(368,1),(369,1),(382,1),(451,1),(464,1)}
       420:{2,3,5,6}:{(370,1),(372,1),(463,1),(465,1),(466,1)}
       421:{3,5,7}:{(370,1),(371,1),(460,1),(464,1)}
       422:{1,4,5,6}:{(372,1),(387,1),(465,1),(467,1),(472,1),(518,1),(544,1)}
       423:{2,4,5,7}:{(372,1),(373,1),(388,1),(461,1),(466,1),(467,1),(473,1),(519,1),(527,1),(545,1)}
       424:{1,4,5,6}:{(374,1),(376,1),(456,1),(468,1),(544,1)}
       425:{1,3,5,7}:{(374,1),(375,1),(457,1),(468,1),(522,1)}
       426:{1,4,6,7}:{(376,1),(377,1),(382,1),(459,1),(468,1)}
       427:{2,5,6,7}:{(378,1),(388,1),(461,1),(469,1),(545,1)}
       428:{1,2,4}:{(379,1),(470,1)}
       429:{1,4,5}:{(380,1),(384,1),(472,1)}
       430:{2,4,6}:{(380,1),(381,1),(385,1),(472,1),(473,1)}
       431:{1,3,4,7}:{(381,1),(382,1),(386,1),(464,1),(473,1)}
       432:{1,2,5}:{(383,1),(384,1)}
       433:{1,3,5,6}:{(384,1),(385,1),(387,1),(390,1),(472,1),(474,1),(475,1),(528,1)}
       434:{2,3,5,7}:{(385,1),(386,1),(388,1),(391,1),(473,1),(475,1),(527,1),(550,1)}
       435:{1,5,7}:{(387,1),(388,1),(392,1)}
       436:{1,2,6}:{(389,1),(390,1)}
       437:{1,3,6,7}:{(390,1),(391,1),(392,1),(475,1),(476,1)}
       438:{1,5,6}:{(393,1),(410,1),(478,1)}
       439:{1,4,6,7}:{(393,1),(394,1),(397,1),(411,1),(478,1)}
       440:{1,3,4,5,7}:{(395,1),(399,1),(402,1),(412,1),(479,1),(480,1),(489,1),(531,1)}
       441:{1,4,6}:{(395,1),(396,1),(413,1)}
       442:{1,3,5,6,7}:{(396,1),(397,1),(401,1),(404,1),(414,1),(478,1),(481,1),(485,1),(531,1)}
       443:{1,2,3,7}:{(405,1),(482,1),(552,1)}
       444:{1,3,4,7}:{(398,1),(406,1),(482,1),(483,1),(538,1),(552,1)}
       445:{2,3,5,7}:{(398,1),(399,1),(407,1),(479,1),(483,1),(484,1)}
       446:{1,3,6}:{(399,1),(400,1),(484,1)}
       447:{1,2,4,6,7}:{(400,1),(401,1),(409,1),(415,1),(481,1),(485,1),(497,1),(533,1),(540,1)}
       448:{1,2,3,5}:{(405,1),(486,1),(490,1),(536,1)}
       449:{2,4,5}:{(402,1),(407,1),(487,1),(488,1)}
       450:{1,3,4,6}:{(402,1),(403,1),(408,1),(418,1),(488,1),(489,1)}
       451:{1,4,7}:{(403,1),(404,1),(419,1)}
       452:{1,2,4,6}:{(405,1),(406,1),(482,1),(486,1),(490,1),(534,1)}
       453:{1,3,5}:{(406,1),(407,1),(487,1),(490,1)}
       454:{2,3,5,6}:{(407,1),(408,1),(484,1),(488,1),(491,1),(492,1),(502,1),(530,1),(541,1)}
       455:{1,3,5,7}:{(408,1),(409,1),(421,1),(485,1),(489,1),(492,1),(543,1)}
       456:{2,4,5,6}:{(410,1),(413,1),(424,1),(477,1),(493,1),(494,1),(530,1)}
       457:{2,5,7}:{(410,1),(411,1),(425,1),(478,1)}
       458:{3,4,6}:{(412,1),(413,1),(493,1)}
       459:{2,4,6,7}:{(413,1),(414,1),(419,1),(426,1),(481,1),(494,1),(495,1)}
       460:{3,6,7}:{(415,1),(421,1)}
       461:{2,4,6,7}:{(416,1),(423,1),(427,1),(496,1),(497,1),(540,1)}
       462:{1,3,4,5}:{(417,1),(429,1),(487,1),(499,1),(500,1),(504,1),(536,1)}
       463:{2,3,4,6}:{(417,1),(418,1),(420,1),(430,1),(488,1),(500,1),(501,1),(541,1)}
       464:{3,4,7}:{(418,1),(419,1),(421,1)}
       465:{1,3,5,6}:{(420,1),(422,1),(500,1),(502,1),(503,1)}
       466:{2,3,5,7}:{(420,1),(421,1),(423,1),(496,1),(501,1),(503,1)}
       467:{1,4,5,7}:{(422,1),(423,1),(435,1),(497,1),(503,1),(506,1),(538,1),(551,1)}
       468:{1,4,5,7}:{(424,1),(425,1),(426,1),(494,1),(551,1)}
       469:{1,5,6,7}:{(427,1),(435,1),(497,1),(551,1)}
       470:{1,3,4}:{(428,1),(498,1),(504,1)}
       471:{1,2,4,5}:{(428,1),(429,1),(432,1),(499,1),(504,1),(505,1)}
       472:{1,4,6}:{(429,1),(430,1),(433,1),(506,1)}
       473:{2,4,7}:{(430,1),(431,1),(434,1),(506,1)}
       474:{1,2,5,6}:{(432,1),(433,1),(436,1),(502,1),(505,1),(507,1)}
       475:{1,3,5,7}:{(433,1),(434,1),(435,1),(437,1),(506,1),(507,1),(543,1)}
       476:{1,2,6,7}:{(436,1),(437,1),(507,1),(540,1)}
       477:{1,4,5,6}:{(438,1),(441,1),(456,1),(508,1),(509,1)}
       478:{1,5,7}:{(438,1),(439,1),(457,1)}
       479:{2,4,5,7}:{(440,1),(445,1),(449,1),(510,1),(511,1),(519,1),(545,1)}
       480:{1,3,4,6}:{(440,1),(441,1),(446,1),(458,1),(508,1),(511,1)}
       481:{1,4,6,7}:{(441,1),(442,1),(451,1),(459,1),(509,1)}
       482:{1,2,4,7}:{(443,1),(444,1),(452,1),(513,1)}
       483:{1,3,5,7}:{(444,1),(445,1),(453,1),(510,1),(513,1),(514,1)}
       484:{2,3,6}:{(445,1),(446,1),(511,1),(514,1)}
       485:{1,3,6,7}:{(446,1),(447,1),(455,1),(460,1),(515,1)}
       486:{1,2,4}:{(448,1),(516,1)}
       487:{1,4,5}:{(449,1),(453,1),(518,1)}
       488:{2,4,6}:{(449,1),(450,1),(454,1),(518,1),(519,1)}
       489:{1,3,4,7}:{(450,1),(451,1),(455,1),(464,1),(519,1)}
       490:{1,2,5}:{(452,1),(453,1)}
       491:{1,3,5,6}:{(453,1),(454,1),(514,1),(518,1),(520,1),(521,1),(544,1),(548,1)}
       492:{2,3,5,7}:{(454,1),(455,1),(515,1),(519,1),(521,1),(527,1),(545,1),(550,1)}
       493:{3,5,6}:{(456,1),(458,1),(522,1)}
       494:{2,4,5,7}:{(456,1),(457,1),(459,1),(468,1),(509,1),(522,1),(545,1)}
       495:{3,4,6,7}:{(458,1),(459,1),(460,1),(464,1),(522,1)}
       496:{2,3,6,7}:{(460,1),(461,1),(466,1),(523,1)}
       497:{1,4,6,7}:{(461,1),(467,1),(469,1),(523,1)}
       498:{2,3,4}:{(470,1),(516,1),(524,1)}
       499:{2,4,5}:{(462,1),(524,1),(525,1)}
       500:{1,3,4,6}:{(462,1),(463,1),(465,1),(472,1),(518,1),(525,1),(526,1),(528,1),(548,1)}
       501:{2,3,4,7}:{(463,1),(464,1),(466,1),(473,1),(519,1),(526,1),(550,1)}
       502:{2,5,6}:{(465,1),(525,1),(527,1)}
       503:{1,3,5,7}:{(465,1),(466,1),(467,1),(523,1),(526,1),(527,1)}
       504:{1,3,5}:{(470,1),(471,1),(524,1),(528,1)}
       505:{1,2,4,6}:{(471,1),(472,1),(474,1),(525,1),(528,1),(529,1)}
       506:{1,4,7}:{(472,1),(473,1),(475,1)}
       507:{1,2,5,7}:{(474,1),(475,1),(476,1),(527,1),(529,1)}
       508:{1,3,5,6}:{(477,1),(480,1),(493,1),(530,1),(531,1)}
       509:{1,4,5,7}:{(477,1),(478,1),(481,1),(494,1),(531,1)}
       510:{1,4,5,7}:{(479,1),(483,1),(487,1),(532,1),(538,1),(551,1)}
       511:{2,4,6}:{(479,1),(480,1),(484,1),(530,1),(532,1)}
       512:{1,3,4,6,7}:{(480,1),(481,1),(485,1),(489,1),(495,1),(531,1),(533,1)}
       513:{1,2,5,7}:{(482,1),(483,1),(490,1),(534,1)}
       514:{1,3,6}:{(483,1),(484,1),(532,1),(534,1)}
       515:{2,3,6,7}:{(484,1),(485,1),(492,1),(533,1),(535,1),(540,1)}
       516:{1,3,4}:{(486,1),(498,1),(536,1)}
       517:{1,2,4,5}:{(486,1),(487,1),(490,1),(499,1),(536,1),(537,1)}
       518:{1,4,6}:{(487,1),(488,1),(491,1),(538,1)}
       519:{2,4,7}:{(488,1),(489,1),(492,1),(538,1)}
       520:{1,2,5,6}:{(490,1),(491,1),(502,1),(534,1),(537,1),(539,1)}
       521:{1,3,5,7}:{(491,1),(492,1),(535,1),(538,1),(539,1),(551,1),(552,1)}
       522:{3,5,7}:{(493,1),(494,1),(495,1)}
       523:{1,3,6,7}:{(496,1),(497,1),(503,1),(540,1)}
       524:{2,3,5}:{(498,1),(499,1),(504,1),(536,1),(541,1)}
       525:{2,4,6}:{(499,1),(500,1),(502,1),(541,1),(542,1)}
       526:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(538,1),(542,1),(543,1),(552,1)}
       527:{2,5,7}:{(502,1),(503,1),(540,1),(542,1)}
       528:{1,3,6}:{(504,1),(505,1),(541,1),(543,1)}
       529:{1,2,4,7}:{(505,1),(506,1),(507,1),(542,1),(543,1)}
       530:{2,5,6}:{(508,1),(511,1),(544,1),(545,1)}
       531:{1,3,5,7}:{(508,1),(509,1),(512,1),(522,1),(545,1)}
       532:{1,4,6}:{(510,1),(511,1),(514,1),(544,1)}
       533:{2,4,6,7}:{(511,1),(512,1),(515,1),(519,1),(545,1),(546,1)}
       534:{1,2,6}:{(513,1),(514,1)}
       535:{1,3,6,7}:{(514,1),(515,1),(521,1),(546,1),(547,1)}
       536:{1,3,5}:{(516,1),(517,1),(524,1),(548,1)}
       537:{1,2,4,6}:{(517,1),(518,1),(520,1),(525,1),(548,1),(549,1)}
       538:{1,4,7}:{(518,1),(519,1),(521,1)}
       539:{1,2,5,7}:{(520,1),(521,1),(527,1),(547,1),(549,1)}
       540:{2,6,7}:{(523,1),(527,1)}
       541:{2,3,6}:{(524,1),(525,1),(528,1),(548,1),(550,1)}
       542:{2,4,7}:{(525,1),(526,1),(527,1),(550,1)}
       543:{1,3,7}:{(528,1),(529,1),(550,1)}
       544:{1,5,6}:{(530,1),(532,1),(551,1)}
       545:{2,5,7}:{(530,1),(531,1),(533,1),(551,1)}
       546:{1,4,6,7}:{(532,1),(533,1),(535,1),(538,1),(551,1)}
       547:{1,2,6,7}:{(534,1),(535,1),(539,1),(540,1)}
       548:{1,3,6}:{(536,1),(537,1),(541,1),(552,1)}
       549:{1,2,4,7}:{(537,1),(538,1),(539,1),(542,1),(552,1)}
       550:{2,3,7}:{(541,1),(542,1),(543,1),(552,1)}
       551:{1,5,7}:{(544,1),(545,1),(546,1)}
       552:{1,3,7}:{(548,1),(549,1),(550,1)}

2171 :   0:{1,2,3,6,7}:{(2,1),(3,1),(50,1),(111,1),(173,1),(276,1),(360,1),(369,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(50,1),(54,1),(174,1),(256,1),(265,1),(276,1),(368,1),(383,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(130,1),(146,1),(222,1),(331,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(31,1),(81,1),(309,1),(319,1),(415,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(75,1),(225,1),(416,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(114,1),(170,1),(200,1),(300,1),(508,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(50,1),(94,1),(171,1),(261,1),(369,1),(370,1),(456,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(191,1),(383,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(108,1),(456,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(48,1),(383,1),(457,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(50,1),(265,1),(266,1)}
        11:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(62,1),(80,1),(153,1),(208,1),(252,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(63,1),(217,1),(351,1),(486,1),(496,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(32,1),(64,1),(66,1),(78,1),(128,1),(134,1),(146,1),(208,1),(343,1),(344,1),(437,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(314,1),(418,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(30,1),(145,1),(222,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(30,1),(31,1),(73,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(31,1),(32,1),(319,1)}
        18:{1,2,4,5,6}:{(9,1),(30,1),(33,1),(34,1),(70,1),(75,1),(143,1),(145,1),(211,1),(229,1),(315,1),(340,1),(416,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(32,1),(35,1),(36,1),(75,1),(78,1),(238,1),(239,1)}
        21:{1,3,4,6,7}:{(11,1),(13,1),(37,1),(41,1),(52,1),(86,1),(92,1),(112,1),(193,1),(300,1),(301,1),(400,1)}
        22:{1,2,3,5,6}:{(12,1),(38,1),(39,1),(89,1),(92,1),(167,1),(200,1),(299,1),(305,1),(451,1),(460,1),(462,1)}
        23:{1,2,5,7}:{(11,1),(37,1),(39,1),(259,1),(305,1)}
        24:{1,2,4,7}:{(12,1),(38,1),(41,1),(269,1),(400,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(37,1),(42,1),(43,1),(179,1),(191,1),(259,1),(395,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(50,1),(171,1),(260,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(456,1),(457,1)}
        28:{1,3,4,5}:{(19,1),(47,1),(48,1),(457,1),(475,1)}
        29:{1,2,5,6,7}:{(15,1),(44,1),(49,1),(191,1),(275,1),(294,1),(367,1),(386,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(45,1),(50,1),(106,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(19,1),(50,1),(51,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(51,1),(52,1),(108,1),(292,1)}
        33:{1,2,4,5,7}:{(18,1),(49,1),(53,1),(103,1),(108,1),(189,1),(191,1),(264,1),(283,1),(367,1),(390,1),(456,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(47,1),(50,1),(53,1),(54,1),(265,1),(391,1)}
        35:{2,3,5}:{(19,1),(20,1),(48,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(52,1),(55,1),(56,1),(109,1),(112,1),(197,1),(198,1)}
        37:{1,3,5,7}:{(21,1),(23,1),(25,1),(57,1),(58,1),(244,1),(354,1)}
        38:{1,2,4,6}:{(22,1),(24,1),(59,1),(60,1),(215,1),(352,1),(495,1)}
        39:{1,2,5,6}:{(23,1),(57,1),(62,1),(153,1),(207,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(58,1),(59,1),(62,1),(63,1),(121,1)}
        41:{1,3,4,7}:{(24,1),(60,1),(63,1),(64,1),(496,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(57,1),(66,1),(78,1),(128,1),(133,1),(145,1),(207,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(58,1),(66,1),(67,1),(437,1),(438,1)}
        44:{1,3,5,6,7}:{(26,1),(29,1),(65,1),(71,1),(77,1),(144,1),(221,1),(314,1),(415,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(31,1),(67,1),(72,1),(73,1),(74,1),(144,1)}
        47:{1,3,4,6}:{(28,1),(34,1),(74,1),(75,1),(416,1),(436,1)}
        48:{2,4,5}:{(28,1),(35,1),(75,1),(76,1)}
        49:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(71,1),(77,1),(146,1),(241,1),(336,1),(431,1)}
        50:{1,3,6}:{(30,1),(31,1),(78,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(78,1),(79,1)}
        52:{1,3,4,7}:{(32,1),(36,1),(79,1),(80,1),(149,1),(249,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(74,1),(77,1),(81,1),(319,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(75,1),(78,1),(81,1),(82,1),(145,1),(229,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(76,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(80,1),(83,1),(84,1),(153,1),(157,1)}
        57:{1,3,5,6}:{(37,1),(39,1),(42,1),(86,1),(92,1),(112,1),(192,1)}
        58:{1,4,5,7}:{(37,1),(43,1),(86,1),(400,1),(401,1)}
        59:{1,2,4,5}:{(38,1),(89,1),(165,1),(305,1),(401,1)}
        60:{1,3,4,6}:{(38,1),(41,1),(89,1),(90,1),(92,1),(462,1),(463,1)}
        61:{1,2,5,6,7}:{(39,1),(85,1),(91,1),(199,1),(259,1),(298,1),(359,1),(386,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(86,1),(92,1),(161,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(89,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(90,1),(93,1),(94,1),(269,1),(464,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(85,1),(96,1),(111,1),(170,1),(179,1),(191,1),(259,1),(386,1),(392,1),(470,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(86,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(179,1),(474,1),(475,1)}
        68:{2,3,4,5}:{(48,1),(99,1),(100,1),(186,1),(389,1),(475,1)}
        69:{1,3,4,5,6}:{(47,1),(101,1),(102,1),(104,1),(177,1),(178,1),(286,1),(297,1),(391,1),(479,1)}
        70:{1,4,5,6}:{(45,1),(95,1),(103,1),(104,1),(260,1)}
        71:{1,4,6,7}:{(44,1),(45,1),(96,1),(103,1),(456,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(50,1),(97,1),(104,1),(106,1)}
        73:{2,4,5,7}:{(46,1),(48,1),(51,1),(106,1),(107,1),(108,1),(191,1)}
        74:{1,3,4,7}:{(47,1),(53,1),(108,1),(456,1),(474,1)}
        75:{2,4,6}:{(47,1),(48,1),(54,1),(108,1),(109,1)}
        76:{1,4,5}:{(48,1),(55,1),(109,1)}
        77:{1,3,6,7}:{(49,1),(50,1),(53,1),(111,1),(470,1)}
        78:{2,3,6}:{(50,1),(51,1),(106,1),(112,1)}
        79:{1,3,5,7}:{(51,1),(52,1),(55,1),(107,1),(112,1),(113,1)}
        80:{1,2,4,7}:{(52,1),(56,1),(113,1),(114,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(108,1),(111,1),(115,1),(191,1),(283,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(109,1),(112,1),(115,1),(116,1),(192,1),(197,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(114,1),(117,1),(197,1)}
        85:{1,3,5,6,7}:{(57,1),(61,1),(65,1),(119,1),(127,1),(152,1),(206,1),(244,1),(351,1)}
        86:{1,4,6}:{(57,1),(58,1),(66,1)}
        87:{1,3,4,5,7}:{(58,1),(63,1),(67,1),(120,1),(121,1),(122,1),(206,1),(214,1)}
        88:{1,2,4,5,6}:{(59,1),(62,1),(118,1),(123,1),(124,1),(207,1),(215,1),(245,1),(313,1),(340,1),(352,1),(412,1),(420,1)}
        89:{1,3,5}:{(59,1),(60,1),(125,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(125,1),(126,1),(128,1),(215,1),(423,1),(424,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(123,1),(127,1),(208,1),(406,1),(431,1),(481,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(125,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(126,1),(129,1),(130,1),(324,1),(425,1)}
        95:{2,4,5,6}:{(66,1),(70,1),(118,1),(132,1),(133,1),(145,1),(207,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(71,1),(119,1),(132,1),(134,1),(437,1)}
        97:{3,4,6}:{(66,1),(67,1),(133,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(73,1),(121,1),(135,1),(136,1),(137,1),(213,1),(232,1),(236,1),(321,1),(434,1),(437,1),(438,1),(505,1),(534,1)}
        99:{2,3,4,6}:{(68,1),(75,1),(131,1),(137,1),(138,1),(238,1),(338,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(76,1),(138,1),(139,1),(151,1),(212,1),(410,1)}
       101:{1,3,4,5,7}:{(69,1),(74,1),(141,1),(142,1),(144,1),(228,1),(230,1),(339,1),(349,1),(435,1),(442,1)}
       102:{2,4,5,6}:{(69,1),(75,1),(131,1),(142,1),(143,1),(145,1),(229,1),(338,1),(504,1)}
       103:{1,4,5,7}:{(70,1),(71,1),(132,1),(144,1),(314,1)}
       104:{1,3,5,6}:{(70,1),(72,1),(133,1),(144,1),(145,1)}
       105:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(77,1),(134,1),(144,1),(146,1)}
       106:{2,4,6}:{(72,1),(73,1),(78,1),(145,1),(147,1)}
       107:{1,4,5,7}:{(73,1),(76,1),(79,1),(147,1),(149,1),(244,1)}
       108:{2,4,7}:{(74,1),(75,1),(81,1),(149,1)}
       109:{1,4,6}:{(75,1),(76,1),(82,1),(149,1)}
       110:{1,2,4,5}:{(76,1),(83,1),(139,1),(150,1),(151,1),(157,1)}
       111:{2,3,6,7}:{(77,1),(78,1),(81,1),(146,1),(152,1),(336,1)}
       112:{1,3,6}:{(78,1),(79,1),(147,1),(153,1)}
       113:{1,2,5,7}:{(79,1),(80,1),(83,1),(153,1)}
       114:{1,2,3,7}:{(80,1),(84,1),(249,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(149,1),(152,1),(155,1),(244,1),(249,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(150,1),(153,1),(155,1),(229,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(151,1),(157,1)}
       118:{1,4,5,6}:{(86,1),(95,1),(158,1),(159,1),(192,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(96,1),(158,1),(400,1)}
       120:{1,3,4,6}:{(86,1),(87,1),(92,1),(97,1),(159,1),(161,1)}
       121:{2,4,5,7}:{(87,1),(93,1),(161,1),(162,1),(165,1),(259,1),(269,1)}
       122:{1,3,4,5}:{(89,1),(164,1),(165,1),(401,1),(475,1)}
       123:{1,2,4,5,7}:{(88,1),(91,1),(158,1),(166,1),(259,1),(269,1),(298,1),(365,1),(390,1),(400,1),(452,1),(461,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(92,1),(164,1),(166,1),(167,1),(391,1),(462,1)}
       125:{2,3,5}:{(89,1),(90,1),(165,1),(168,1)}
       126:{1,3,4,6}:{(90,1),(94,1),(168,1),(169,1),(171,1),(270,1),(378,1),(379,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(166,1),(170,1),(470,1)}
       128:{2,3,6}:{(92,1),(93,1),(161,1),(171,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(171,1),(172,1)}
       130:{1,2,4,7}:{(94,1),(169,1),(172,1),(173,1)}
       131:{2,3,5,6}:{(99,1),(102,1),(176,1),(177,1),(391,1)}
       132:{2,4,5,7}:{(95,1),(96,1),(103,1),(158,1),(179,1),(191,1),(259,1)}
       133:{3,5,6}:{(95,1),(97,1),(179,1)}
       134:{3,4,6,7}:{(96,1),(97,1),(179,1),(470,1),(474,1)}
       135:{2,3,4,6}:{(97,1),(98,1),(106,1),(161,1),(180,1),(182,1),(290,1),(393,1),(473,1),(527,1),(545,1)}
       136:{1,3,4,5,7}:{(98,1),(100,1),(107,1),(162,1),(182,1),(183,1),(184,1),(195,1),(263,1),(268,1),(287,1),(374,1),(400,1),(401,1),(450,1),(456,1),(457,1),(474,1),(475,1),(544,1)}
       137:{2,3,4,7}:{(99,1),(108,1),(176,1),(184,1),(292,1),(388,1),(474,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(109,1),(177,1),(184,1),(185,1),(197,1),(265,1),(362,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(103,1),(175,1),(187,1),(359,1),(385,1),(478,1)}
       141:{1,3,4,6,7}:{(101,1),(187,1),(188,1),(280,1),(282,1),(385,1),(470,1)}
       142:{2,4,5,7}:{(101,1),(102,1),(108,1),(176,1),(188,1),(189,1),(191,1),(283,1),(388,1),(472,1)}
       143:{1,4,5,6}:{(102,1),(109,1),(177,1),(189,1),(192,1),(362,1),(512,1)}
       144:{1,3,5,7}:{(103,1),(104,1),(105,1),(179,1),(191,1)}
       145:{2,5,6}:{(104,1),(106,1),(191,1),(192,1)}
       146:{2,4,6,7}:{(105,1),(106,1),(108,1),(111,1),(191,1),(193,1)}
       147:{1,4,6}:{(106,1),(107,1),(112,1),(192,1)}
       148:{1,2,4,5,7}:{(107,1),(110,1),(113,1),(183,1),(194,1),(195,1),(196,1),(201,1),(298,1),(305,1),(373,1),(400,1),(401,1),(461,1),(544,1),(546,1)}
       149:{1,4,7}:{(108,1),(109,1),(115,1)}
       150:{1,2,4,6}:{(109,1),(110,1),(116,1),(185,1),(196,1),(197,1)}
       151:{1,3,5}:{(110,1),(186,1),(197,1),(198,1)}
       152:{1,3,6,7}:{(111,1),(112,1),(115,1),(193,1),(199,1)}
       153:{1,2,6}:{(112,1),(113,1)}
       154:{1,2,3,5,7}:{(113,1),(114,1),(117,1),(195,1),(200,1),(201,1),(305,1),(460,1),(519,1),(546,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(196,1),(199,1),(283,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(197,1),(200,1),(202,1),(203,1),(284,1),(299,1),(303,1),(305,1),(403,1),(404,1)}
       157:{1,2,4}:{(117,1),(198,1)}
       158:{1,4,5,7}:{(118,1),(119,1),(132,1),(206,1),(244,1)}
       159:{1,3,5,6}:{(118,1),(120,1),(133,1),(206,1),(207,1)}
       160:{1,3,4,6,7}:{(119,1),(120,1),(127,1),(134,1),(206,1),(208,1),(214,1)}
       161:{2,4,6}:{(120,1),(121,1),(128,1),(207,1),(209,1)}
       162:{1,4,5,7}:{(121,1),(129,1),(209,1),(216,1),(314,1),(324,1)}
       163:{1,2,4,5}:{(139,1),(211,1),(212,1),(225,1),(333,1),(410,1)}
       164:{1,3,4,6}:{(122,1),(124,1),(214,1),(215,1),(352,1),(436,1)}
       165:{2,4,5}:{(122,1),(125,1),(215,1),(216,1)}
       166:{1,3,5,7}:{(123,1),(124,1),(127,1),(214,1),(217,1),(435,1),(496,1)}
       167:{2,3,5,6}:{(124,1),(125,1),(128,1),(207,1),(215,1),(217,1),(218,1),(412,1),(423,1)}
       168:{1,3,5}:{(125,1),(126,1),(216,1),(219,1)}
       169:{1,2,4,6}:{(126,1),(130,1),(219,1),(220,1),(222,1),(329,1)}
       170:{2,3,6,7}:{(127,1),(128,1),(208,1),(217,1),(221,1),(481,1)}
       171:{1,3,6}:{(128,1),(129,1),(209,1),(222,1)}
       172:{1,2,5,7}:{(129,1),(130,1),(219,1),(222,1)}
       173:{1,2,3,7}:{(130,1),(220,1),(425,1)}
       174:{1,2,3,5}:{(212,1),(224,1),(225,1),(333,1)}
       175:{2,4,5,6,7}:{(132,1),(140,1),(204,1),(226,1),(240,1),(308,1),(334,1),(431,1),(503,1)}
       176:{2,3,5,7}:{(131,1),(137,1),(142,1),(227,1),(228,1),(435,1)}
       177:{1,3,5,6}:{(131,1),(138,1),(143,1),(228,1),(229,1)}
       178:{3,4,5,6}:{(133,1),(230,1),(231,1),(436,1),(540,1)}
       179:{3,5,7}:{(132,1),(133,1),(134,1)}
       180:{2,3,5,6}:{(133,1),(135,1),(145,1),(207,1),(231,1),(232,1),(233,1),(504,1),(540,1),(549,1)}
       181:{2,3,4,6,7}:{(134,1),(135,1),(137,1),(146,1),(208,1),(227,1),(232,1),(234,1),(321,1),(334,1),(343,1),(405,1),(433,1),(437,1),(502,1),(529,1)}
       182:{1,3,4,6}:{(135,1),(136,1),(147,1),(209,1),(233,1),(235,1),(247,1),(317,1),(352,1),(416,1),(436,1),(485,1),(550,1)}
       183:{2,4,5,7}:{(136,1),(139,1),(235,1),(236,1),(237,1),(323,1),(341,1),(422,1),(437,1),(438,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(149,1),(228,1),(237,1),(249,1),(319,1),(409,1)}
       185:{2,4,6}:{(138,1),(139,1),(229,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(151,1),(212,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(144,1),(226,1),(240,1),(442,1)}
       188:{2,4,6,7}:{(141,1),(142,1),(227,1),(240,1),(241,1),(336,1)}
       189:{1,4,5,7}:{(142,1),(143,1),(149,1),(228,1),(241,1),(244,1),(409,1),(484,1)}
       190:{1,2,4,5,6}:{(143,1),(150,1),(229,1),(242,1),(243,1),(245,1),(254,1),(338,1),(340,1),(352,1),(357,1),(504,1),(507,1)}
       191:{2,5,7}:{(144,1),(145,1),(146,1),(244,1)}
       192:{1,5,6}:{(145,1),(147,1),(244,1)}
       193:{1,4,6,7}:{(146,1),(147,1),(149,1),(152,1),(244,1)}
       194:{1,2,4,6}:{(147,1),(148,1),(153,1),(235,1),(245,1),(247,1),(352,1),(550,1),(551,1)}
       195:{1,3,5,7}:{(148,1),(151,1),(236,1),(247,1),(248,1),(249,1),(354,1),(421,1),(496,1)}
       196:{1,2,4,7}:{(149,1),(150,1),(155,1),(237,1),(249,1)}
       197:{1,3,6}:{(150,1),(151,1),(238,1),(249,1)}
       198:{1,3,4}:{(151,1),(157,1),(239,1)}
       199:{1,2,6,7}:{(152,1),(153,1),(155,1),(336,1)}
       200:{1,2,3,6}:{(153,1),(154,1),(247,1),(252,1),(551,1)}
       201:{1,2,4,7}:{(154,1),(157,1),(248,1),(252,1),(495,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(249,1),(251,1),(253,1),(337,1),(351,1),(355,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(250,1),(253,1),(254,1),(338,1),(352,1)}
       204:{1,4,5,6,7}:{(158,1),(175,1),(255,1),(294,1),(385,1),(511,1)}
       205:{1,3,4,5,6}:{(159,1),(164,1),(178,1),(257,1),(258,1),(286,1),(364,1),(391,1),(455,1),(543,1)}
       206:{1,3,5,7}:{(158,1),(159,1),(160,1),(179,1),(259,1)}
       207:{2,5,6}:{(159,1),(161,1),(259,1),(260,1)}
       208:{2,4,6,7}:{(160,1),(161,1),(170,1),(259,1),(261,1),(269,1)}
       209:{1,4,6}:{(161,1),(162,1),(171,1),(260,1)}
       210:{1,2,4,5,7}:{(162,1),(163,1),(172,1),(183,1),(262,1),(263,1),(264,1),(271,1),(277,1),(367,1),(377,1),(383,1),(384,1),(450,1),(456,1),(457,1)}
       211:{1,2,4,6}:{(163,1),(185,1),(256,1),(264,1),(265,1),(362,1)}
       212:{1,3,5}:{(163,1),(186,1),(265,1),(266,1)}
       213:{2,3,4,5}:{(165,1),(267,1),(268,1),(376,1),(475,1),(516,1)}
       214:{1,3,4,7}:{(164,1),(166,1),(269,1),(400,1),(474,1)}
       215:{2,4,6}:{(164,1),(165,1),(167,1),(269,1),(270,1)}
       216:{1,4,5}:{(165,1),(168,1),(270,1)}
       217:{2,3,5,7}:{(166,1),(167,1),(170,1),(259,1),(269,1),(272,1),(452,1),(464,1)}
       218:{1,3,5,6}:{(167,1),(168,1),(171,1),(260,1),(270,1),(272,1),(273,1),(378,1)}
       219:{1,2,5}:{(168,1),(169,1)}
       220:{1,2,3,6}:{(169,1),(173,1),(274,1),(378,1)}
       221:{1,3,6,7}:{(170,1),(171,1),(261,1),(272,1),(275,1)}
       222:{1,2,6}:{(171,1),(172,1)}
       223:{1,2,3,5,7}:{(172,1),(173,1),(174,1),(263,1),(274,1),(276,1),(277,1),(278,1),(383,1),(384,1)}
       224:{1,2,3,6}:{(174,1),(265,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(266,1)}
       226:{3,5,6,7}:{(175,1),(179,1),(280,1),(470,1),(525,1)}
       227:{2,3,6,7}:{(176,1),(188,1),(282,1),(470,1)}
       228:{1,3,5,7}:{(176,1),(177,1),(184,1),(189,1),(282,1),(283,1)}
       229:{2,5,6}:{(177,1),(185,1),(283,1)}
       230:{3,4,5,7}:{(178,1),(179,1),(280,1),(285,1),(474,1),(525,1)}
       231:{2,4,5,6}:{(178,1),(180,1),(285,1),(286,1),(393,1)}
       232:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(259,1),(285,1),(287,1),(472,1),(525,1),(542,1)}
       233:{1,3,5,6}:{(180,1),(182,1),(192,1),(260,1),(286,1),(287,1),(288,1),(391,1),(512,1),(552,1)}
       234:{1,3,4,6,7}:{(181,1),(182,1),(184,1),(193,1),(261,1),(282,1),(287,1),(289,1),(300,1),(369,1),(374,1),(385,1),(400,1),(446,1),(449,1),(456,1),(470,1),(474,1),(541,1)}
       235:{2,4,6}:{(182,1),(183,1),(288,1),(290,1)}
       236:{2,3,5,7}:{(183,1),(186,1),(195,1),(263,1),(290,1),(291,1),(292,1),(376,1),(395,1),(464,1)}
       237:{2,4,7}:{(184,1),(185,1),(283,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(197,1),(265,1),(292,1)}
       239:{2,3,4}:{(186,1),(198,1),(266,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(472,1)}
       241:{1,4,6,7}:{(188,1),(189,1),(282,1),(294,1)}
       242:{1,2,4,5,7}:{(189,1),(190,1),(196,1),(283,1),(295,1),(296,1),(298,1),(388,1),(390,1),(400,1),(472,1),(478,1)}
       243:{1,3,5,6}:{(190,1),(197,1),(284,1),(296,1),(297,1),(303,1),(391,1),(403,1)}
       244:{1,5,7}:{(191,1),(192,1),(193,1)}
       245:{1,2,5,6}:{(192,1),(194,1),(288,1),(298,1),(299,1),(305,1),(552,1)}
       246:{1,2,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(289,1),(298,1),(300,1),(400,1),(461,1),(508,1),(541,1)}
       247:{1,3,6}:{(194,1),(195,1),(290,1)}
       248:{1,3,4,7}:{(195,1),(198,1),(201,1),(291,1),(301,1),(400,1),(463,1)}
       249:{1,3,7}:{(196,1),(197,1),(292,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(203,1),(293,1),(302,1),(303,1),(403,1)}
       251:{1,2,3,6,7}:{(199,1),(200,1),(202,1),(300,1),(304,1),(387,1),(403,1),(519,1)}
       252:{1,2,4,6}:{(200,1),(201,1),(301,1),(305,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(302,1),(388,1),(400,1)}
       254:{1,2,4,5}:{(203,1),(303,1),(305,1),(389,1),(401,1)}
       255:{1,3,5,6,7}:{(204,1),(206,1),(226,1),(307,1),(308,1),(530,1)}
       256:{1,2,5,6}:{(211,1),(229,1),(309,1),(310,1),(333,1),(430,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(230,1),(307,1),(312,1),(339,1),(411,1),(435,1),(490,1),(530,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(311,1),(312,1),(313,1),(412,1),(489,1),(549,1)}
       259:{2,5,7}:{(206,1),(207,1),(208,1),(314,1)}
       260:{1,5,6}:{(207,1),(209,1),(314,1)}
       261:{1,4,6,7}:{(208,1),(209,1),(221,1),(314,1),(324,1)}
       262:{1,2,4,6}:{(209,1),(210,1),(222,1),(235,1),(315,1),(317,1),(416,1),(430,1),(485,1)}
       263:{1,3,5,7}:{(210,1),(212,1),(236,1),(317,1),(318,1),(319,1),(326,1),(418,1),(425,1)}
       264:{1,2,4,7}:{(211,1),(237,1),(309,1),(319,1),(409,1)}
       265:{1,3,6}:{(211,1),(212,1),(238,1),(319,1)}
       266:{1,3,4}:{(212,1),(225,1),(239,1)}
       267:{2,3,4,6}:{(213,1),(215,1),(311,1),(321,1),(322,1),(423,1),(436,1),(489,1)}
       268:{1,3,4,5}:{(213,1),(216,1),(322,1),(323,1),(326,1),(421,1),(533,1)}
       269:{2,4,7}:{(214,1),(215,1),(217,1),(324,1)}
       270:{1,4,6}:{(215,1),(216,1),(218,1),(324,1)}
       271:{1,2,4,5}:{(216,1),(219,1),(323,1),(325,1),(326,1),(329,1)}
       272:{1,3,5,7}:{(217,1),(218,1),(221,1),(314,1),(324,1),(327,1),(425,1)}
       273:{1,2,5,6}:{(218,1),(219,1),(222,1),(325,1),(327,1),(412,1)}
       274:{1,2,3,5}:{(219,1),(220,1),(326,1),(329,1)}
       275:{1,2,6,7}:{(221,1),(222,1),(327,1),(481,1)}
       276:{1,2,3,6}:{(222,1),(223,1),(317,1),(331,1),(430,1)}
       277:{1,2,4,7}:{(223,1),(225,1),(318,1),(329,1),(331,1)}
       278:{1,2,3,7}:{(224,1),(319,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(320,1),(332,1),(333,1),(430,1)}
       280:{3,4,6,7}:{(226,1),(230,1),(334,1)}
       281:{2,3,5,6,7}:{(226,1),(227,1),(232,1),(240,1),(308,1),(334,1),(335,1),(405,1)}
       282:{1,3,6,7}:{(227,1),(228,1),(241,1),(336,1)}
       283:{2,5,7}:{(228,1),(229,1),(237,1),(336,1)}
       284:{2,3,5,6}:{(229,1),(238,1),(243,1),(310,1),(337,1),(338,1),(346,1),(440,1),(504,1)}
       285:{2,4,5,7}:{(230,1),(231,1),(232,1),(334,1),(339,1),(437,1)}
       286:{1,4,5,6}:{(231,1),(233,1),(339,1),(340,1),(352,1),(416,1)}
       287:{1,3,5,7}:{(232,1),(233,1),(234,1),(244,1),(314,1),(339,1),(341,1),(435,1),(484,1),(548,1)}
       288:{2,5,6}:{(233,1),(235,1),(341,1)}
       289:{2,4,6,7}:{(234,1),(235,1),(237,1),(336,1),(341,1),(343,1),(422,1),(437,1),(481,1)}
       290:{2,3,6}:{(235,1),(236,1),(247,1),(317,1)}
       291:{2,3,4,7}:{(236,1),(239,1),(248,1),(318,1),(344,1),(424,1),(437,1)}
       292:{2,3,7}:{(237,1),(238,1),(249,1),(319,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(250,1),(320,1),(338,1),(345,1),(346,1),(440,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(244,1),(484,1)}
       295:{1,2,4,6,7}:{(241,1),(242,1),(336,1),(347,1),(348,1),(357,1),(431,1),(433,1),(441,1)}
       296:{1,3,5,7}:{(242,1),(243,1),(249,1),(337,1),(348,1),(349,1),(435,1)}
       297:{1,3,4,6}:{(243,1),(338,1),(349,1),(350,1),(352,1),(436,1)}
       298:{1,2,5,7}:{(244,1),(245,1),(246,1),(341,1),(351,1),(548,1)}
       299:{1,3,5,6}:{(245,1),(247,1),(342,1),(351,1),(352,1),(354,1)}
       300:{1,3,6,7}:{(246,1),(247,1),(249,1),(343,1),(351,1),(496,1)}
       301:{1,3,4,6}:{(247,1),(248,1),(252,1),(344,1),(352,1),(354,1)}
       302:{1,3,4,7}:{(249,1),(250,1),(253,1),(345,1),(355,1)}
       303:{1,3,5}:{(250,1),(254,1),(346,1)}
       304:{1,2,4,6,7}:{(251,1),(252,1),(253,1),(353,1),(356,1),(357,1),(433,1),(536,1),(551,1)}
       305:{1,2,5}:{(252,1),(354,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(355,1),(356,1),(357,1),(434,1),(444,1)}
       307:{1,3,4,6,7}:{(255,1),(257,1),(280,1),(358,1),(385,1),(446,1),(470,1)}
       308:{2,5,6,7}:{(255,1),(259,1),(358,1),(359,1),(542,1)}
       309:{1,2,5,7}:{(256,1),(264,1),(283,1),(360,1),(361,1)}
       310:{1,3,5,6}:{(256,1),(265,1),(284,1),(361,1),(362,1),(372,1),(459,1),(512,1)}
       311:{2,3,5,6}:{(258,1),(267,1),(363,1),(364,1),(391,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(269,1),(358,1),(363,1),(365,1),(452,1),(515,1),(542,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(270,1),(364,1),(365,1),(514,1),(552,1)}
       314:{1,5,7}:{(259,1),(260,1),(261,1)}
       315:{1,2,5,6}:{(260,1),(262,1),(288,1),(367,1),(368,1),(383,1),(512,1)}
       316:{1,2,4,6,7}:{(261,1),(262,1),(264,1),(275,1),(289,1),(360,1),(367,1),(369,1),(377,1),(449,1),(456,1)}
       317:{1,3,6}:{(262,1),(263,1),(290,1)}
       318:{1,3,4,7}:{(263,1),(266,1),(277,1),(291,1),(370,1),(379,1),(456,1)}
       319:{1,3,7}:{(264,1),(265,1),(292,1)}
       320:{1,3,4,6}:{(265,1),(266,1),(279,1),(293,1),(362,1),(371,1),(372,1),(459,1)}
       321:{2,3,4,7}:{(267,1),(269,1),(363,1),(374,1),(464,1),(474,1),(515,1)}
       322:{1,3,4,6}:{(267,1),(268,1),(270,1),(364,1),(374,1),(375,1),(378,1),(462,1),(514,1)}
       323:{2,4,5}:{(268,1),(375,1),(376,1)}
       324:{1,4,7}:{(269,1),(270,1),(272,1)}
       325:{1,2,4,6}:{(270,1),(271,1),(273,1),(375,1),(377,1),(378,1)}
       326:{1,3,5}:{(271,1),(376,1),(378,1),(379,1)}
       327:{1,2,5,7}:{(272,1),(273,1),(275,1),(377,1),(452,1)}
       328:{1,2,3,5,6}:{(273,1),(274,1),(276,1),(368,1),(378,1),(380,1),(381,1),(383,1),(453,1),(467,1),(469,1),(524,1)}
       329:{1,2,4}:{(274,1),(379,1)}
       330:{1,2,3,6,7}:{(275,1),(276,1),(278,1),(369,1),(380,1),(382,1),(509,1),(524,1)}
       331:{1,2,4,6}:{(276,1),(277,1),(370,1),(383,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(371,1),(384,1)}
       333:{1,2,5}:{(279,1),(372,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(285,1),(385,1)}
       335:{1,3,5,6,7}:{(281,1),(282,1),(287,1),(294,1),(359,1),(385,1),(386,1),(446,1),(470,1)}
       336:{2,6,7}:{(282,1),(283,1)}
       337:{2,3,5,7}:{(283,1),(284,1),(292,1),(296,1),(361,1),(387,1),(388,1),(472,1)}
       338:{2,4,6}:{(284,1),(297,1),(362,1),(388,1),(389,1)}
       339:{1,4,5,7}:{(285,1),(286,1),(287,1),(385,1),(390,1),(400,1),(456,1)}
       340:{2,4,5,6}:{(286,1),(288,1),(390,1),(391,1),(393,1)}
       341:{2,5,7}:{(287,1),(288,1),(289,1)}
       342:{2,3,5,6}:{(288,1),(290,1),(299,1),(368,1),(391,1),(392,1),(393,1),(395,1)}
       343:{2,3,6,7}:{(289,1),(290,1),(292,1),(300,1),(369,1),(392,1),(464,1),(470,1)}
       344:{2,3,4,6}:{(290,1),(291,1),(301,1),(370,1),(393,1),(395,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(302,1),(371,1),(388,1),(396,1)}
       346:{2,3,5}:{(293,1),(303,1),(372,1),(389,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(298,1),(386,1),(397,1),(404,1),(472,1),(508,1)}
       348:{1,3,6,7}:{(295,1),(296,1),(387,1),(403,1),(470,1)}
       349:{1,3,4,7}:{(296,1),(297,1),(388,1),(400,1),(474,1)}
       350:{1,3,4,5}:{(297,1),(303,1),(389,1),(401,1),(475,1)}
       351:{1,3,5,7}:{(298,1),(299,1),(300,1),(392,1),(400,1)}
       352:{1,4,6}:{(299,1),(393,1),(400,1),(401,1)}
       353:{1,3,4,6,7}:{(300,1),(301,1),(302,1),(304,1),(394,1),(400,1),(402,1),(403,1),(480,1),(521,1),(541,1),(547,1)}
       354:{1,3,5}:{(301,1),(305,1),(395,1),(401,1)}
       355:{1,3,5,7}:{(302,1),(303,1),(306,1),(396,1),(403,1)}
       356:{1,2,5,7}:{(304,1),(305,1),(402,1),(404,1),(472,1)}
       357:{1,2,4,6}:{(306,1),(403,1),(404,1),(473,1),(480,1)}
       358:{2,4,6,7}:{(307,1),(308,1),(312,1),(405,1),(406,1),(481,1)}
       359:{1,5,6,7}:{(308,1),(314,1),(406,1),(548,1)}
       360:{1,2,6,7}:{(309,1),(336,1),(408,1),(430,1)}
       361:{1,3,5,7}:{(309,1),(310,1),(319,1),(337,1),(408,1),(409,1),(484,1)}
       362:{1,4,6}:{(310,1),(338,1),(409,1),(410,1)}
       363:{2,3,5,7}:{(311,1),(312,1),(321,1),(405,1),(411,1),(435,1)}
       364:{1,3,5,6}:{(311,1),(313,1),(322,1),(411,1),(412,1)}
       365:{1,4,5,7}:{(312,1),(313,1),(314,1),(324,1),(406,1),(411,1),(532,1),(548,1)}
       366:{1,2,4,5,6}:{(313,1),(315,1),(325,1),(340,1),(412,1),(413,1),(414,1),(416,1),(428,1),(489,1),(501,1),(531,1),(549,1)}
       367:{1,2,5,7}:{(314,1),(315,1),(316,1),(341,1),(415,1),(484,1)}
       368:{1,3,5,6}:{(315,1),(317,1),(342,1),(415,1),(416,1),(418,1)}
       369:{1,3,6,7}:{(316,1),(317,1),(319,1),(343,1),(415,1),(425,1)}
       370:{1,3,4,6}:{(317,1),(318,1),(331,1),(344,1),(416,1),(418,1)}
       371:{1,3,4,7}:{(319,1),(320,1),(332,1),(345,1),(409,1),(419,1)}
       372:{1,3,5}:{(320,1),(333,1),(346,1),(410,1)}
       373:{1,2,4,5}:{(323,1),(420,1),(421,1),(495,1),(533,1),(537,1)}
       374:{1,3,4,7}:{(321,1),(322,1),(324,1),(411,1),(422,1),(425,1),(496,1),(532,1)}
       375:{2,4,6}:{(322,1),(323,1),(412,1),(422,1),(423,1)}
       376:{2,3,5}:{(323,1),(326,1),(421,1),(423,1),(424,1)}
       377:{1,2,4,7}:{(324,1),(325,1),(327,1),(422,1),(425,1)}
       378:{1,3,6}:{(325,1),(326,1),(423,1),(425,1)}
       379:{1,3,4}:{(326,1),(329,1),(424,1)}
       380:{1,2,3,5,7}:{(327,1),(328,1),(330,1),(415,1),(425,1),(427,1),(429,1),(488,1),(500,1)}
       381:{1,2,4,6}:{(328,1),(329,1),(416,1),(426,1),(427,1),(428,1),(489,1)}
       382:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(417,1),(427,1),(429,1),(430,1),(501,1),(529,1)}
       383:{1,2,5}:{(331,1),(418,1)}
       384:{1,2,5,7}:{(332,1),(333,1),(419,1),(430,1)}
       385:{1,4,6,7}:{(334,1),(335,1),(339,1),(431,1)}
       386:{2,5,6,7}:{(335,1),(336,1),(341,1),(431,1),(481,1)}
       387:{2,3,6,7}:{(336,1),(337,1),(348,1),(408,1),(433,1),(440,1)}
       388:{2,4,7}:{(337,1),(338,1),(349,1),(409,1)}
       389:{2,4,5}:{(338,1),(346,1),(350,1),(410,1)}
       390:{2,4,5,7}:{(339,1),(340,1),(341,1),(431,1),(435,1),(437,1)}
       391:{3,5,6}:{(340,1),(435,1),(436,1)}
       392:{2,3,5,7}:{(341,1),(342,1),(343,1),(351,1),(415,1),(435,1),(437,1)}
       393:{2,4,6}:{(342,1),(352,1),(416,1),(436,1),(437,1),(438,1)}
       394:{2,3,4,6,7}:{(343,1),(344,1),(345,1),(353,1),(417,1),(433,1),(437,1),(439,1),(440,1),(498,1),(502,1),(506,1),(529,1),(539,1)}
       395:{2,3,5}:{(344,1),(354,1),(418,1),(438,1)}
       396:{2,3,5,7}:{(345,1),(346,1),(355,1),(419,1),(434,1),(440,1)}
       397:{1,3,5,6,7}:{(347,1),(348,1),(351,1),(432,1),(441,1),(442,1),(445,1),(528,1),(548,1)}
       398:{1,3,4,6,7}:{(348,1),(349,1),(433,1),(441,1),(442,1),(443,1),(502,1)}
       399:{1,3,4,5,7}:{(349,1),(350,1),(355,1),(434,1),(442,1),(443,1),(444,1),(505,1)}
       400:{1,4,7}:{(351,1),(352,1),(437,1)}
       401:{1,4,5}:{(352,1),(354,1),(438,1)}
       402:{1,3,5,7}:{(353,1),(354,1),(356,1),(439,1),(444,1),(445,1),(548,1)}
       403:{1,3,6}:{(355,1),(357,1),(440,1)}
       404:{1,2,5,6}:{(356,1),(357,1),(445,1),(504,1),(551,1)}
       405:{2,3,6,7}:{(358,1),(363,1),(446,1),(470,1)}
       406:{1,4,6,7}:{(358,1),(359,1),(365,1),(446,1)}
       407:{1,2,5,6,7}:{(359,1),(360,1),(367,1),(386,1),(447,1),(448,1),(469,1),(542,1)}
       408:{1,3,6,7}:{(360,1),(361,1),(387,1),(449,1),(459,1)}
       409:{1,4,7}:{(361,1),(362,1),(388,1)}
       410:{1,4,5}:{(362,1),(372,1),(389,1)}
       411:{1,3,5,7}:{(363,1),(364,1),(365,1),(374,1),(446,1),(452,1)}
       412:{2,5,6}:{(364,1),(375,1),(452,1)}
       413:{1,2,4,5,7}:{(365,1),(366,1),(367,1),(377,1),(390,1),(447,1),(452,1),(454,1),(456,1),(511,1),(515,1),(542,1)}
       414:{1,3,5,6}:{(366,1),(378,1),(391,1),(453,1),(454,1),(455,1),(467,1),(524,1)}
       415:{1,3,5,7}:{(367,1),(368,1),(369,1),(392,1),(456,1)}
       416:{1,4,6}:{(368,1),(393,1),(456,1),(457,1)}
       417:{1,3,4,6,7}:{(369,1),(370,1),(371,1),(382,1),(394,1),(449,1),(456,1),(458,1),(459,1),(466,1),(518,1),(524,1)}
       418:{1,3,5}:{(370,1),(383,1),(395,1),(457,1)}
       419:{1,3,5,7}:{(371,1),(372,1),(384,1),(396,1),(450,1),(459,1)}
       420:{1,2,4,6}:{(373,1),(375,1),(451,1),(461,1),(462,1),(514,1)}
       421:{1,3,5}:{(373,1),(376,1),(462,1),(463,1)}
       422:{2,4,7}:{(374,1),(375,1),(452,1),(464,1)}
       423:{2,3,6}:{(375,1),(376,1),(378,1),(462,1),(464,1)}
       424:{2,3,4}:{(376,1),(379,1),(463,1)}
       425:{1,3,7}:{(377,1),(378,1),(464,1)}
       426:{1,3,4,6}:{(378,1),(379,1),(381,1),(465,1),(466,1),(467,1),(524,1)}
       427:{1,2,4,7}:{(380,1),(381,1),(456,1),(466,1),(515,1)}
       428:{1,2,4,5}:{(381,1),(383,1),(457,1),(467,1),(516,1)}
       429:{1,2,5,7}:{(382,1),(383,1),(458,1),(469,1),(542,1)}
       430:{1,2,6}:{(384,1),(459,1)}
       431:{2,4,6,7}:{(385,1),(386,1),(390,1),(470,1)}
       432:{2,3,5,6,7}:{(386,1),(387,1),(392,1),(397,1),(448,1),(470,1),(471,1),(472,1),(477,1),(509,1),(525,1),(542,1)}
       433:{2,4,6,7}:{(387,1),(388,1),(398,1),(449,1),(472,1),(473,1)}
       434:{2,4,5,7}:{(388,1),(389,1),(396,1),(399,1),(450,1),(472,1),(473,1)}
       435:{3,5,7}:{(390,1),(391,1),(470,1),(474,1)}
       436:{3,4,6}:{(391,1),(393,1),(474,1),(475,1)}
       437:{2,4,7}:{(392,1),(393,1),(400,1),(456,1),(474,1)}
       438:{2,4,5}:{(393,1),(395,1),(401,1),(457,1),(475,1)}
       439:{2,3,5,7}:{(394,1),(395,1),(402,1),(458,1),(472,1),(476,1),(477,1),(525,1),(542,1)}
       440:{2,3,6}:{(396,1),(403,1),(459,1),(473,1)}
       441:{1,4,6,7}:{(397,1),(400,1),(471,1),(478,1),(480,1)}
       442:{1,3,5,7}:{(398,1),(472,1),(478,1),(479,1),(525,1)}
       443:{1,3,4,6}:{(399,1),(403,1),(473,1),(479,1),(480,1),(527,1)}
       444:{1,4,5,7}:{(400,1),(401,1),(402,1),(476,1),(480,1)}
       445:{1,3,5,6}:{(402,1),(403,1),(404,1),(477,1),(480,1),(547,1),(552,1)}
       446:{1,3,6,7}:{(405,1),(406,1),(411,1),(481,1)}
       447:{1,2,4,6,7}:{(406,1),(407,1),(413,1),(431,1),(481,1),(482,1),(483,1),(501,1),(529,1)}
       448:{1,3,5,6,7}:{(407,1),(408,1),(415,1),(432,1),(482,1),(483,1),(484,1),(493,1),(530,1)}
       449:{1,4,6,7}:{(408,1),(409,1),(433,1),(484,1),(485,1)}
       450:{1,4,5,7}:{(409,1),(410,1),(419,1),(434,1),(484,1),(485,1)}
       451:{1,2,5,6}:{(412,1),(420,1),(486,1),(487,1),(537,1),(551,1)}
       452:{2,5,7}:{(411,1),(412,1),(422,1),(481,1)}
       453:{2,3,5,6}:{(412,1),(414,1),(423,1),(487,1),(488,1),(489,1),(499,1),(539,1),(549,1)}
       454:{1,3,5,7}:{(413,1),(414,1),(425,1),(435,1),(482,1),(488,1),(490,1)}
       455:{1,3,4,6}:{(414,1),(416,1),(436,1),(489,1),(490,1),(491,1)}
       456:{1,4,7}:{(415,1),(416,1),(437,1)}
       457:{1,4,5}:{(416,1),(418,1),(438,1)}
       458:{1,3,5,7}:{(417,1),(418,1),(429,1),(439,1),(484,1),(492,1),(493,1)}
       459:{1,3,6}:{(419,1),(430,1),(440,1),(485,1)}
       460:{1,2,3,5}:{(421,1),(494,1),(495,1),(537,1)}
       461:{1,2,4,7}:{(420,1),(422,1),(486,1),(496,1),(532,1)}
       462:{1,3,6}:{(420,1),(421,1),(423,1),(496,1)}
       463:{1,3,4}:{(421,1),(424,1),(495,1)}
       464:{2,3,7}:{(422,1),(423,1),(425,1),(496,1)}
       465:{2,3,4,6}:{(423,1),(424,1),(426,1),(489,1),(497,1),(498,1),(499,1),(539,1)}
       466:{1,3,4,7}:{(425,1),(426,1),(427,1),(498,1),(500,1)}
       467:{1,3,5}:{(426,1),(428,1),(499,1)}
       468:{1,2,4,5,7}:{(427,1),(428,1),(429,1),(492,1),(500,1),(501,1),(534,1)}
       469:{1,2,5,6}:{(429,1),(430,1),(493,1),(501,1),(549,1)}
       470:{3,6,7}:{(431,1),(435,1)}
       471:{2,4,6,7}:{(432,1),(437,1),(441,1),(483,1),(502,1),(503,1),(506,1)}
       472:{2,5,7}:{(433,1),(442,1),(484,1),(504,1)}
       473:{2,4,6}:{(434,1),(440,1),(443,1),(485,1),(504,1)}
       474:{3,4,7}:{(435,1),(436,1),(437,1)}
       475:{3,4,5}:{(436,1),(438,1)}
       476:{2,4,5,7}:{(437,1),(438,1),(439,1),(444,1),(492,1),(505,1),(506,1)}
       477:{2,3,5,6}:{(439,1),(440,1),(445,1),(493,1),(504,1),(506,1),(539,1),(540,1),(549,1)}
       478:{1,4,5,7}:{(441,1),(442,1),(503,1),(507,1),(548,1)}
       479:{1,3,5,6}:{(442,1),(443,1),(504,1),(507,1),(540,1)}
       480:{1,4,6}:{(444,1),(445,1),(506,1)}
       481:{2,6,7}:{(446,1),(452,1)}
       482:{1,3,6,7}:{(447,1),(454,1),(470,1),(509,1),(524,1)}
       483:{1,4,6,7}:{(448,1),(456,1),(471,1),(511,1),(518,1)}
       484:{1,5,7}:{(449,1),(472,1),(512,1)}
       485:{1,4,6}:{(450,1),(459,1),(473,1),(512,1)}
       486:{1,2,5,7}:{(451,1),(452,1),(461,1),(508,1),(513,1)}
       487:{1,3,5,6}:{(451,1),(453,1),(462,1),(513,1),(514,1),(522,1),(547,1),(552,1)}
       488:{2,3,5,7}:{(452,1),(453,1),(454,1),(464,1),(509,1),(513,1),(515,1),(542,1)}
       489:{2,4,6}:{(453,1),(455,1),(514,1),(515,1),(516,1)}
       490:{1,3,4,7}:{(454,1),(455,1),(456,1),(474,1),(515,1)}
       491:{1,3,4,5}:{(455,1),(457,1),(467,1),(475,1),(516,1)}
       492:{1,4,5,7}:{(456,1),(457,1),(458,1),(476,1),(518,1)}
       493:{1,3,5,6}:{(458,1),(459,1),(469,1),(477,1),(512,1),(518,1),(524,1)}
       494:{1,2,3,6}:{(460,1),(462,1),(519,1),(520,1)}
       495:{1,2,4}:{(460,1),(463,1)}
       496:{1,3,7}:{(461,1),(462,1),(464,1)}
       497:{1,3,4,6}:{(462,1),(463,1),(465,1),(514,1),(520,1),(521,1),(522,1),(547,1)}
       498:{2,3,4,7}:{(464,1),(465,1),(466,1),(515,1),(521,1),(523,1)}
       499:{2,3,5}:{(465,1),(467,1),(516,1),(522,1)}
       500:{1,3,5,7}:{(466,1),(467,1),(468,1),(523,1),(524,1)}
       501:{1,2,4,6}:{(468,1),(469,1),(518,1),(524,1),(545,1)}
       502:{3,4,6,7}:{(470,1),(471,1),(474,1),(525,1),(527,1)}
       503:{2,4,5,7}:{(471,1),(472,1),(478,1),(511,1),(525,1),(526,1),(542,1)}
       504:{2,5,6}:{(472,1),(473,1),(479,1),(512,1)}
       505:{3,4,5,7}:{(474,1),(475,1),(476,1),(525,1),(527,1)}
       506:{2,4,6}:{(476,1),(477,1),(480,1),(518,1),(527,1)}
       507:{1,4,5,6}:{(478,1),(479,1),(480,1),(526,1),(552,1)}
       508:{1,2,6,7}:{(481,1),(486,1),(528,1),(551,1)}
       509:{2,3,6,7}:{(481,1),(482,1),(488,1),(528,1),(529,1),(539,1)}
       510:{1,3,4,6,7}:{(482,1),(483,1),(490,1),(502,1),(529,1),(530,1),(535,1)}
       511:{1,4,5,7}:{(483,1),(484,1),(503,1),(530,1),(531,1)}
       512:{1,5,6}:{(484,1),(485,1),(504,1)}
       513:{1,3,5,7}:{(486,1),(487,1),(488,1),(496,1),(528,1),(532,1),(548,1)}
       514:{1,4,6}:{(487,1),(489,1),(532,1),(533,1)}
       515:{2,4,7}:{(488,1),(489,1),(490,1),(532,1)}
       516:{2,4,5}:{(489,1),(491,1),(499,1),(533,1)}
       517:{1,3,4,5,7}:{(490,1),(491,1),(492,1),(500,1),(505,1),(530,1),(534,1),(535,1)}
       518:{1,4,6}:{(492,1),(493,1),(506,1)}
       519:{1,2,3,7}:{(494,1),(496,1),(536,1)}
       520:{1,2,4,6}:{(494,1),(495,1),(497,1),(536,1),(537,1),(551,1)}
       521:{1,3,4,7}:{(496,1),(497,1),(498,1),(532,1),(536,1),(538,1)}
       522:{1,3,5}:{(497,1),(499,1),(533,1),(537,1)}
       523:{2,3,5,7}:{(498,1),(499,1),(500,1),(534,1),(538,1),(539,1)}
       524:{1,3,6}:{(500,1),(501,1),(539,1)}
       525:{3,5,7}:{(502,1),(503,1),(540,1)}
       526:{2,4,5,6}:{(503,1),(504,1),(506,1),(507,1),(531,1),(540,1),(549,1)}
       527:{3,4,6}:{(505,1),(506,1),(540,1)}
       528:{1,3,6,7}:{(508,1),(509,1),(513,1),(541,1),(547,1)}
       529:{2,4,6,7}:{(509,1),(510,1),(515,1),(541,1),(542,1),(545,1)}
       530:{1,3,5,7}:{(510,1),(511,1),(525,1),(542,1),(543,1)}
       531:{1,4,5,6}:{(511,1),(512,1),(518,1),(526,1),(543,1)}
       532:{1,4,7}:{(513,1),(514,1),(515,1)}
       533:{1,4,5}:{(514,1),(516,1),(522,1)}
       534:{2,4,5,7}:{(515,1),(516,1),(517,1),(523,1),(542,1),(544,1),(545,1)}
       535:{1,3,4,6}:{(517,1),(518,1),(524,1),(527,1),(543,1),(545,1)}
       536:{1,2,4,7}:{(519,1),(520,1),(521,1),(546,1)}
       537:{1,2,5}:{(520,1),(522,1)}
       538:{1,3,5,7}:{(521,1),(522,1),(523,1),(544,1),(546,1),(547,1)}
       539:{2,3,6}:{(523,1),(524,1),(545,1),(547,1)}
       540:{3,5,6}:{(525,1),(526,1),(527,1)}
       541:{1,4,6,7}:{(528,1),(529,1),(532,1),(548,1),(550,1)}
       542:{2,5,7}:{(529,1),(530,1),(548,1),(549,1)}
       543:{1,3,5,6}:{(530,1),(531,1),(535,1),(540,1),(549,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(538,1),(548,1),(550,1)}
       545:{2,4,6}:{(534,1),(535,1),(539,1),(549,1),(550,1)}
       546:{1,2,5,7}:{(536,1),(537,1),(538,1),(551,1)}
       547:{1,3,6}:{(538,1),(539,1),(550,1),(551,1)}
       548:{1,5,7}:{(541,1),(542,1),(552,1)}
       549:{2,5,6}:{(542,1),(543,1),(545,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{1,2,6}:{(546,1),(547,1)}
       552:{1,5,6}:{(548,1),(549,1),(550,1)}

2172 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2173 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2174 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2175 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2176 :   0:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(28,1),(47,1)}
         2:{1,2,4}:{(0,1),(6,1)}
         3:{1,2,3}:{(9,1)}
         4:{1,2,3,7}:{(1,1),(11,1),(46,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(41,1),(69,1),(117,1)}
         6:{1,3,4}:{(2,1),(10,1),(14,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(14,1),(15,1),(38,1),(42,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(96,1)}
         9:{1,2,4}:{(3,1),(19,1),(20,1)}
        10:{2,3,4}:{(6,1),(19,1),(22,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(24,1),(138,1)}
        12:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(25,1),(28,1),(63,1),(65,1),(92,1),(137,1)}
        13:{1,2,5}:{(5,1),(25,1)}
        14:{1,3,5}:{(6,1),(7,1),(22,1),(28,1)}
        15:{1,2,4,6}:{(7,1),(26,1),(28,1),(29,1),(60,1),(65,1)}
        16:{1,2,3,5}:{(8,1),(30,1),(33,1),(71,1)}
        17:{1,2,3,7}:{(8,1),(31,1),(121,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(32,1),(33,1),(35,1),(74,1)}
        19:{1,3,4}:{(9,1),(10,1),(34,1)}
        20:{1,2,5}:{(9,1),(34,1),(35,1)}
        21:{2,3,4,6}:{(10,1),(12,1),(32,1),(36,1),(37,1),(39,1),(70,1),(82,1),(83,1),(119,1)}
        22:{2,3,5}:{(10,1),(14,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(46,1),(90,1),(154,1)}
        24:{1,2,5,7}:{(11,1),(13,1),(40,1),(41,1)}
        25:{1,3,5}:{(12,1),(13,1),(37,1),(42,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(41,1),(43,1),(44,1),(85,1),(117,1)}
        27:{1,3,4,5}:{(14,1),(38,1),(42,1),(45,1),(80,1)}
        28:{1,3,6}:{(14,1),(15,1),(39,1),(46,1)}
        29:{1,2,4,7}:{(15,1),(44,1),(46,1),(86,1),(90,1)}
        30:{1,2,4}:{(16,1),(48,1)}
        31:{1,2,4,7}:{(17,1),(18,1),(50,1),(51,1),(56,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(52,1),(55,1),(96,1),(99,1),(101,1)}
        33:{1,2,5}:{(18,1),(52,1)}
        34:{1,3,5}:{(19,1),(20,1),(22,1),(54,1),(55,1)}
        35:{1,2,6}:{(20,1),(55,1),(56,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(50,1),(57,1),(61,1),(110,1),(140,1)}
        37:{2,3,5}:{(21,1),(25,1),(52,1),(58,1)}
        38:{2,4,5}:{(22,1),(27,1),(54,1),(60,1)}
        39:{2,3,6}:{(22,1),(28,1),(55,1),(60,1),(61,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(25,1),(57,1),(62,1),(63,1)}
        41:{1,2,6}:{(24,1),(63,1)}
        42:{1,4,5}:{(25,1),(58,1),(65,1)}
        43:{1,3,5,6}:{(25,1),(26,1),(28,1),(59,1),(63,1),(65,1),(66,1),(112,1),(137,1),(164,1)}
        44:{1,2,5,7}:{(26,1),(29,1),(64,1),(66,1),(111,1),(138,1)}
        45:{1,3,4,6}:{(27,1),(28,1),(60,1),(65,1),(67,1),(68,1),(106,1)}
        46:{1,3,7}:{(28,1),(29,1),(61,1)}
        47:{1,2,3}:{(69,1)}
        48:{1,3,4}:{(30,1),(70,1),(71,1)}
        49:{1,2,4,5}:{(30,1),(33,1),(71,1),(72,1),(75,1),(118,1)}
        50:{1,3,4,7}:{(31,1),(32,1),(36,1),(73,1),(79,1),(121,1),(125,1)}
        51:{1,2,5,7}:{(31,1),(33,1),(73,1),(74,1)}
        52:{1,3,5}:{(32,1),(33,1),(37,1),(75,1)}
        53:{1,2,5,6}:{(33,1),(35,1),(72,1),(74,1),(76,1),(77,1),(155,1)}
        54:{1,4,5}:{(34,1),(38,1),(78,1)}
        55:{1,3,6}:{(34,1),(35,1),(39,1),(78,1),(79,1)}
        56:{1,2,7}:{(35,1),(79,1)}
        57:{2,3,5,7}:{(36,1),(37,1),(40,1),(73,1),(81,1),(82,1)}
        58:{2,4,5}:{(37,1),(42,1),(75,1),(80,1),(83,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(43,1),(76,1),(82,1),(83,1),(84,1),(85,1),(119,1),(128,1),(130,1),(155,1)}
        60:{2,4,6}:{(38,1),(39,1),(45,1),(78,1),(85,1),(86,1)}
        61:{2,3,7}:{(39,1),(46,1),(79,1),(86,1)}
        62:{1,4,5,7}:{(40,1),(42,1),(81,1),(87,1),(90,1),(134,1)}
        63:{1,3,6}:{(40,1),(41,1),(82,1),(87,1)}
        64:{1,2,6,7}:{(41,1),(44,1),(88,1),(133,1)}
        65:{1,4,6}:{(42,1),(43,1),(83,1),(90,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(46,1),(84,1),(88,1),(90,1),(134,1),(154,1),(171,1)}
        67:{1,3,5,6}:{(45,1),(85,1),(89,1),(91,1),(128,1)}
        68:{1,3,4,7}:{(45,1),(46,1),(86,1),(90,1),(91,1),(129,1)}
        69:{1,2,4}:{(47,1),(92,1),(93,1)}
        70:{2,3,4}:{(48,1),(92,1),(94,1)}
        71:{1,3,5}:{(48,1),(49,1),(94,1),(96,1)}
        72:{1,2,4,6}:{(49,1),(53,1),(96,1),(97,1),(101,1),(139,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(52,1),(57,1),(98,1),(99,1)}
        74:{1,2,6}:{(51,1),(99,1)}
        75:{1,4,5}:{(52,1),(58,1),(101,1)}
        76:{1,3,5,6}:{(52,1),(53,1),(55,1),(59,1),(96,1),(99,1),(101,1),(102,1),(103,1),(143,1)}
        77:{1,2,5,7}:{(53,1),(56,1),(97,1),(100,1),(102,1),(166,1)}
        78:{1,4,6}:{(54,1),(55,1),(60,1),(103,1),(104,1)}
        79:{1,3,7}:{(55,1),(56,1),(61,1),(104,1)}
        80:{3,4,5}:{(58,1),(106,1)}
        81:{2,4,5,7}:{(57,1),(58,1),(62,1),(98,1),(105,1),(107,1),(110,1),(150,1)}
        82:{2,3,6}:{(57,1),(63,1),(99,1),(107,1)}
        83:{2,4,6}:{(58,1),(59,1),(65,1),(101,1),(106,1),(110,1)}
        84:{2,3,5,7}:{(59,1),(61,1),(66,1),(102,1),(108,1),(110,1),(111,1),(140,1),(149,1),(150,1),(166,1)}
        85:{2,5,6}:{(60,1),(67,1),(103,1),(111,1)}
        86:{2,4,7}:{(60,1),(61,1),(68,1),(104,1),(111,1)}
        87:{1,4,6}:{(62,1),(63,1),(107,1),(112,1)}
        88:{1,3,6,7}:{(63,1),(64,1),(66,1),(108,1),(113,1),(174,1)}
        89:{1,4,5,6}:{(65,1),(67,1),(109,1),(112,1),(114,1),(164,1)}
        90:{1,4,7}:{(65,1),(66,1),(110,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(111,1),(114,1),(115,1),(149,1)}
        92:{1,3,4}:{(69,1),(70,1),(116,1)}
        93:{1,2,5}:{(69,1),(116,1),(117,1)}
        94:{2,3,5}:{(70,1),(71,1),(116,1),(118,1),(119,1)}
        95:{1,3,4,5}:{(71,1),(75,1),(80,1),(118,1),(120,1)}
        96:{1,3,6}:{(71,1),(72,1),(119,1),(121,1)}
        97:{1,2,4,7}:{(72,1),(77,1),(121,1),(125,1),(156,1)}
        98:{1,4,5,7}:{(73,1),(75,1),(81,1),(122,1),(125,1),(158,1)}
        99:{1,3,6}:{(73,1),(74,1),(82,1),(122,1)}
       100:{1,2,6,7}:{(74,1),(77,1),(123,1),(172,1)}
       101:{1,4,6}:{(75,1),(76,1),(83,1),(125,1)}
       102:{1,3,5,7}:{(76,1),(77,1),(79,1),(84,1),(121,1),(123,1),(125,1),(126,1),(158,1)}
       103:{1,5,6}:{(78,1),(85,1),(126,1)}
       104:{1,4,7}:{(78,1),(79,1),(86,1),(126,1)}
       105:{3,4,5,7}:{(80,1),(81,1),(127,1),(129,1),(161,1)}
       106:{3,4,6}:{(80,1),(83,1),(128,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(87,1),(122,1),(127,1),(130,1)}
       108:{2,3,6,7}:{(82,1),(84,1),(88,1),(123,1),(131,1),(133,1),(162,1),(172,1)}
       109:{2,4,5,6}:{(83,1),(85,1),(89,1),(124,1),(128,1),(130,1),(132,1),(155,1),(160,1)}
       110:{2,4,7}:{(83,1),(84,1),(90,1),(125,1),(129,1)}
       111:{2,5,7}:{(85,1),(86,1),(91,1),(126,1),(133,1)}
       112:{1,5,6}:{(87,1),(130,1),(134,1)}
       113:{1,4,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1)}
       114:{1,4,5,7}:{(89,1),(90,1),(91,1),(132,1),(134,1),(135,1),(171,1)}
       115:{1,3,6,7}:{(91,1),(133,1),(135,1),(162,1)}
       116:{1,3,5}:{(92,1),(93,1),(94,1),(136,1),(137,1)}
       117:{1,2,6}:{(93,1),(137,1),(138,1)}
       118:{2,4,5}:{(94,1),(95,1),(136,1),(139,1)}
       119:{2,3,6}:{(94,1),(96,1),(137,1),(139,1),(140,1)}
       120:{1,3,4,6}:{(95,1),(96,1),(101,1),(106,1),(139,1),(141,1),(142,1)}
       121:{1,3,7}:{(96,1),(97,1),(140,1)}
       122:{1,4,6}:{(98,1),(99,1),(107,1),(143,1)}
       123:{1,3,6,7}:{(99,1),(100,1),(102,1),(108,1),(144,1),(146,1)}
       124:{1,4,5,6}:{(101,1),(103,1),(109,1),(141,1),(143,1),(145,1)}
       125:{1,4,7}:{(101,1),(102,1),(110,1)}
       126:{1,5,7}:{(103,1),(104,1),(111,1),(146,1)}
       127:{3,4,6}:{(105,1),(107,1),(147,1)}
       128:{3,5,6}:{(106,1),(109,1),(149,1)}
       129:{3,4,7}:{(106,1),(110,1),(149,1)}
       130:{2,5,6}:{(107,1),(112,1),(143,1),(147,1),(150,1)}
       131:{2,4,6,7}:{(107,1),(108,1),(110,1),(113,1),(144,1),(148,1),(150,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(114,1),(145,1),(149,1),(150,1),(151,1),(166,1),(169,1)}
       133:{2,6,7}:{(111,1),(115,1),(146,1)}
       134:{1,5,7}:{(112,1),(113,1),(150,1)}
       135:{1,4,6,7}:{(114,1),(115,1),(151,1),(152,1),(174,1)}
       136:{1,4,5}:{(116,1),(118,1),(153,1)}
       137:{1,3,6}:{(116,1),(117,1),(119,1),(153,1),(154,1)}
       138:{1,2,7}:{(117,1),(154,1)}
       139:{2,4,6}:{(118,1),(119,1),(120,1),(153,1),(155,1),(156,1)}
       140:{2,3,7}:{(119,1),(121,1),(154,1),(156,1)}
       141:{1,3,5,6}:{(120,1),(124,1),(128,1),(155,1),(157,1)}
       142:{1,3,4,7}:{(120,1),(121,1),(125,1),(129,1),(156,1),(157,1)}
       143:{1,5,6}:{(122,1),(130,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(125,1),(131,1),(158,1)}
       145:{1,4,5,7}:{(124,1),(125,1),(126,1),(132,1),(157,1),(158,1),(159,1)}
       146:{1,6,7}:{(126,1),(133,1)}
       147:{3,5,6}:{(127,1),(130,1),(160,1),(161,1)}
       148:{3,4,6,7}:{(127,1),(129,1),(131,1),(161,1),(162,1),(173,1)}
       149:{3,5,7}:{(128,1),(129,1),(132,1),(162,1)}
       150:{2,5,7}:{(130,1),(131,1),(134,1),(158,1),(161,1)}
       151:{2,4,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1),(172,1),(173,1)}
       152:{1,5,6,7}:{(134,1),(135,1),(163,1)}
       153:{1,4,6}:{(136,1),(137,1),(139,1),(164,1),(165,1)}
       154:{1,3,7}:{(137,1),(138,1),(140,1),(165,1)}
       155:{2,5,6}:{(139,1),(141,1),(164,1),(166,1)}
       156:{2,4,7}:{(139,1),(140,1),(142,1),(165,1),(166,1)}
       157:{1,3,5,7}:{(141,1),(142,1),(145,1),(149,1),(166,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(150,1)}
       159:{1,4,6,7}:{(145,1),(146,1),(151,1),(167,1),(168,1)}
       160:{4,5,6}:{(147,1),(169,1)}
       161:{3,5,7}:{(147,1),(148,1),(150,1),(169,1)}
       162:{3,6,7}:{(149,1),(151,1)}
       163:{2,5,6,7}:{(150,1),(151,1),(152,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(155,1),(171,1)}
       165:{1,4,7}:{(153,1),(154,1),(156,1),(171,1)}
       166:{2,5,7}:{(155,1),(156,1),(157,1),(171,1),(172,1)}
       167:{1,3,6,7}:{(157,1),(159,1),(162,1),(172,1)}
       168:{1,5,6,7}:{(158,1),(159,1),(163,1)}
       169:{4,5,7}:{(160,1),(161,1),(173,1)}
       170:{3,5,6,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{1,5,7}:{(164,1),(165,1),(166,1),(174,1)}
       172:{2,6,7}:{(166,1),(167,1),(174,1)}
       173:{4,6,7}:{(169,1),(170,1)}
       174:{1,6,7}:{(171,1),(172,1)}

2177 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2178 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2179 :   0:{2,3,4,5,7}:{(1,1),(2,1),(16,1),(17,1),(129,1),(132,1),(212,1),(213,1),(215,1),(223,1),(279,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(34,1),(102,1),(104,1),(153,1),(155,1),(170,1),(173,1),(257,1),(259,1),(266,1),(316,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(37,1),(96,1),(255,1),(265,1),(315,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(42,1),(48,1),(102,1),(104,1),(316,1),(317,1),(318,1),(321,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(48,1),(321,1),(322,1),(323,1)}
         5:{2,3,4,6,7}:{(2,1),(15,1),(16,1),(58,1),(59,1),(129,1),(208,1),(209,1),(213,1),(220,1),(276,1)}
         6:{2,4,5,7}:{(1,1),(17,1),(18,1),(60,1),(129,1),(132,1),(298,1),(299,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(23,1),(52,1),(72,1),(117,1),(133,1),(304,1),(346,1)}
         8:{2,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(292,1),(301,1),(343,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(22,1),(23,1),(71,1),(348,1),(349,1)}
        10:{1,2,4,6}:{(3,1),(18,1),(23,1),(24,1),(72,1),(346,1),(350,1)}
        11:{1,2,4,7}:{(4,1),(22,1),(26,1),(352,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(350,1)}
        13:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(30,1),(79,1),(85,1),(153,1),(155,1),(266,1),(267,1),(268,1),(271,1)}
        14:{1,2,3,5,7}:{(28,1),(30,1),(31,1),(85,1),(271,1),(272,1),(273,1)}
        15:{1,3,4,6,7}:{(5,1),(7,1),(33,1),(34,1),(41,1),(78,1),(89,1),(102,1),(153,1),(166,1),(170,1),(254,1),(257,1),(263,1),(313,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(34,1),(35,1),(252,1),(262,1),(312,1)}
        17:{2,3,5,7}:{(6,1),(9,1),(28,1),(36,1),(37,1),(95,1),(333,1),(334,1)}
        18:{2,4,6}:{(6,1),(7,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(7,1),(8,1),(34,1),(38,1),(39,1),(97,1),(335,1),(367,1)}
        20:{2,4,5,6}:{(8,1),(35,1),(39,1),(40,1),(96,1)}
        21:{1,2,4,6,7}:{(10,1),(33,1),(41,1),(42,1),(102,1),(313,1),(314,1),(317,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(43,1),(102,1),(372,1)}
        23:{1,3,6}:{(9,1),(10,1),(37,1)}
        24:{1,2,5,6}:{(10,1),(38,1),(42,1),(44,1),(48,1),(367,1)}
        25:{1,2,3,6,7}:{(12,1),(41,1),(46,1),(47,1),(178,1),(186,1),(314,1),(322,1),(369,1),(373,1)}
        26:{1,2,4,6}:{(11,1),(12,1),(43,1),(48,1)}
        27:{1,2,3,5,6}:{(12,1),(44,1),(47,1),(48,1),(49,1),(106,1),(107,1),(110,1),(186,1),(242,1),(319,1),(323,1),(373,1),(398,1),(401,1)}
        28:{1,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(116,1),(306,1),(307,1)}
        29:{1,2,4,6}:{(13,1),(18,1),(52,1),(53,1),(117,1),(304,1),(308,1)}
        30:{1,2,4,7}:{(14,1),(51,1),(55,1),(310,1)}
        31:{1,2,3,6}:{(14,1),(52,1),(55,1),(308,1)}
        32:{2,3,5,6,7}:{(16,1),(57,1),(58,1),(124,1),(206,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(18,1),(59,1),(60,1),(129,1),(295,1),(298,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(19,1),(60,1),(61,1),(130,1),(302,1),(344,1)}
        35:{2,4,5,7}:{(16,1),(20,1),(58,1),(61,1),(62,1),(129,1)}
        36:{2,3,4,7}:{(17,1),(22,1),(51,1),(63,1),(129,1),(361,1)}
        37:{2,3,6}:{(17,1),(18,1),(23,1),(52,1)}
        38:{2,5,6}:{(18,1),(19,1),(60,1)}
        39:{1,4,5,6}:{(19,1),(20,1),(61,1),(65,1),(72,1),(117,1)}
        40:{3,4,5,6}:{(20,1),(62,1),(133,1),(292,1)}
        41:{1,3,6,7}:{(21,1),(23,1),(59,1),(69,1),(348,1)}
        42:{1,2,5,7}:{(21,1),(24,1),(60,1),(69,1),(344,1)}
        43:{1,3,4,6}:{(22,1),(23,1),(26,1),(63,1),(71,1),(72,1)}
        44:{1,3,5,6}:{(23,1),(24,1),(64,1),(69,1),(71,1),(72,1)}
        45:{1,2,4,5,6}:{(24,1),(65,1),(70,1),(72,1),(73,1),(76,1),(135,1),(143,1),(145,1),(217,1),(218,1),(283,1),(301,1),(386,1),(391,1),(407,1)}
        46:{1,2,4,6,7}:{(25,1),(26,1),(68,1),(74,1),(75,1),(145,1),(220,1),(286,1),(350,1),(390,1)}
        47:{1,2,3,5,7}:{(25,1),(27,1),(69,1),(74,1),(75,1),(141,1),(146,1),(281,1),(348,1),(387,1)}
        48:{1,2,5}:{(26,1),(71,1)}
        49:{1,2,4,6}:{(27,1),(72,1),(75,1),(76,1),(77,1),(143,1),(352,1),(407,1)}
        50:{1,2,4,6,7}:{(29,1),(33,1),(78,1),(79,1),(153,1),(263,1),(264,1),(267,1)}
        51:{1,3,4,7}:{(28,1),(30,1),(36,1),(80,1),(153,1),(340,1)}
        52:{1,3,6}:{(28,1),(29,1),(37,1)}
        53:{1,2,5,6}:{(29,1),(38,1),(79,1),(81,1),(85,1),(335,1)}
        54:{1,2,3,6,7}:{(31,1),(78,1),(83,1),(84,1),(235,1),(243,1),(264,1),(272,1),(337,1),(341,1)}
        55:{1,2,4,6}:{(30,1),(31,1),(80,1),(85,1)}
        56:{1,2,3,5,6}:{(31,1),(81,1),(84,1),(85,1),(86,1),(157,1),(158,1),(161,1),(185,1),(243,1),(269,1),(273,1),(341,1),(382,1),(385,1)}
        57:{1,3,5,6,7}:{(32,1),(34,1),(88,1),(89,1),(166,1),(250,1),(254,1)}
        58:{2,4,6,7}:{(32,1),(35,1),(89,1),(90,1)}
        59:{2,3,6,7}:{(33,1),(37,1),(41,1),(78,1),(92,1),(166,1),(333,1)}
        60:{2,5,7}:{(33,1),(34,1),(38,1)}
        61:{1,4,5,7}:{(34,1),(35,1),(39,1),(89,1),(93,1),(102,1),(153,1)}
        62:{3,4,5,7}:{(35,1),(40,1),(90,1),(170,1),(252,1)}
        63:{2,3,4,6}:{(36,1),(37,1),(43,1),(80,1),(95,1),(96,1)}
        64:{2,3,5,6}:{(37,1),(38,1),(44,1),(81,1),(92,1),(95,1),(96,1),(97,1)}
        65:{2,4,5,6}:{(38,1),(39,1),(93,1),(96,1),(97,1)}
        66:{1,3,4,5,6}:{(39,1),(40,1),(94,1),(97,1),(98,1),(105,1),(156,1),(175,1),(261,1),(311,1),(324,1),(375,1),(402,1)}
        67:{1,2,5,6,7}:{(42,1),(88,1),(99,1),(100,1),(107,1),(250,1),(262,1),(314,1),(327,1),(368,1)}
        68:{1,3,4,6,7}:{(41,1),(43,1),(46,1),(91,1),(101,1),(102,1),(109,1),(179,1),(186,1),(245,1),(313,1),(320,1),(369,1),(399,1),(400,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(44,1),(92,1),(102,1)}
        70:{1,2,4,5,7}:{(42,1),(45,1),(93,1),(100,1),(102,1),(103,1),(172,1),(176,1),(181,1),(258,1),(262,1),(317,1),(368,1),(376,1),(399,1)}
        71:{1,3,5}:{(43,1),(48,1),(95,1),(104,1)}
        72:{1,4,6}:{(44,1),(96,1),(102,1),(104,1)}
        73:{1,3,5,6}:{(45,1),(97,1),(103,1),(105,1),(106,1),(110,1),(186,1),(319,1),(402,1)}
        74:{1,2,5,7}:{(46,1),(48,1),(101,1),(107,1),(262,1),(401,1)}
        75:{1,2,4,7}:{(47,1),(49,1),(102,1),(109,1),(181,1),(399,1)}
        76:{1,2,4,5}:{(48,1),(49,1),(104,1),(110,1),(183,1),(401,1),(411,1)}
        77:{1,3,4,6}:{(49,1),(109,1),(110,1),(111,1),(186,1),(319,1),(372,1)}
        78:{1,3,6,7}:{(50,1),(52,1),(59,1),(114,1),(306,1)}
        79:{1,2,5,7}:{(50,1),(53,1),(60,1),(114,1),(302,1)}
        80:{1,3,4,6}:{(51,1),(52,1),(55,1),(63,1),(116,1),(117,1)}
        81:{1,3,5,6}:{(52,1),(53,1),(64,1),(114,1),(116,1),(117,1)}
        82:{1,2,4,5,6}:{(53,1),(65,1),(115,1),(117,1),(118,1),(121,1),(135,1),(198,1),(200,1),(217,1),(227,1),(274,1),(343,1),(362,1),(391,1),(396,1)}
        83:{1,2,4,6,7}:{(54,1),(55,1),(113,1),(119,1),(120,1),(200,1),(230,1),(276,1),(308,1),(366,1)}
        84:{1,2,3,5,7}:{(54,1),(56,1),(114,1),(119,1),(120,1),(196,1),(201,1),(225,1),(306,1),(363,1)}
        85:{1,2,5}:{(55,1),(116,1)}
        86:{1,2,4,6}:{(56,1),(117,1),(120,1),(121,1),(122,1),(198,1),(310,1),(396,1)}
        87:{2,4,5,6,7}:{(58,1),(123,1),(124,1),(206,1),(207,1),(355,1)}
        88:{2,5,6,7}:{(57,1),(60,1),(126,1),(295,1)}
        89:{1,4,6,7}:{(57,1),(58,1),(61,1),(126,1)}
        90:{3,4,6,7}:{(58,1),(62,1),(124,1)}
        91:{2,3,4,6,7}:{(59,1),(63,1),(68,1),(113,1),(128,1),(129,1),(147,1),(202,1),(208,1),(211,1),(220,1),(228,1),(276,1),(284,1),(358,1),(394,1),(395,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(64,1),(69,1),(114,1),(129,1),(130,1)}
        93:{2,4,5,7}:{(60,1),(61,1),(65,1),(126,1),(129,1),(130,1)}
        94:{1,3,4,5,7}:{(61,1),(62,1),(66,1),(127,1),(130,1),(131,1),(140,1),(195,1),(214,1),(219,1),(275,1),(289,1),(354,1),(392,1)}
        95:{2,3,5}:{(63,1),(71,1),(116,1),(132,1)}
        96:{2,4,6}:{(64,1),(72,1),(117,1),(129,1),(132,1),(133,1)}
        97:{3,5,6}:{(65,1),(130,1),(133,1)}
        98:{2,4,5,6}:{(66,1),(131,1),(134,1),(135,1),(143,1),(198,1),(217,1),(301,1),(343,1)}
        99:{1,3,5,6,7}:{(67,1),(69,1),(125,1),(136,1),(137,1),(138,1),(219,1),(277,1),(344,1),(387,1)}
       100:{1,2,4,6,7}:{(67,1),(70,1),(126,1),(136,1),(137,1),(145,1),(210,1),(220,1),(295,1),(355,1)}
       101:{1,3,5,7}:{(68,1),(71,1),(74,1),(128,1),(138,1),(139,1),(344,1),(408,1)}
       102:{1,4,7}:{(69,1),(72,1),(129,1)}
       103:{1,3,5,7}:{(70,1),(73,1),(130,1),(137,1),(140,1),(141,1),(348,1),(392,1)}
       104:{1,4,5}:{(71,1),(72,1),(132,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(133,1),(140,1),(142,1),(143,1),(407,1),(409,1)}
       106:{2,3,5,6}:{(73,1),(141,1),(143,1),(144,1),(148,1),(217,1),(228,1),(300,1),(301,1)}
       107:{1,2,5,6}:{(74,1),(138,1),(145,1),(301,1),(350,1)}
       108:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(139,1),(145,1),(146,1),(223,1)}
       109:{1,3,4,7}:{(75,1),(77,1),(146,1),(147,1),(348,1)}
       110:{1,3,5}:{(76,1),(77,1),(148,1)}
       111:{2,3,4,6}:{(77,1),(143,1),(147,1),(148,1),(149,1),(228,1),(300,1),(361,1)}
       112:{1,2,5,6,7}:{(79,1),(88,1),(150,1),(151,1),(158,1),(250,1),(264,1),(312,1),(327,1),(336,1)}
       113:{1,3,4,6,7}:{(78,1),(80,1),(83,1),(91,1),(152,1),(153,1),(160,1),(188,1),(236,1),(243,1),(263,1),(270,1),(337,1),(383,1),(384,1)}
       114:{1,3,5,7}:{(78,1),(79,1),(81,1),(92,1),(153,1)}
       115:{1,2,4,5,7}:{(79,1),(82,1),(93,1),(151,1),(153,1),(154,1),(172,1),(233,1),(238,1),(258,1),(267,1),(312,1),(336,1),(376,1),(383,1)}
       116:{1,3,5}:{(80,1),(85,1),(95,1),(155,1)}
       117:{1,4,6}:{(81,1),(96,1),(153,1),(155,1)}
       118:{1,3,5,6}:{(82,1),(97,1),(154,1),(156,1),(157,1),(161,1),(243,1),(269,1),(402,1)}
       119:{1,2,5,7}:{(83,1),(85,1),(152,1),(158,1),(312,1),(385,1)}
       120:{1,2,4,7}:{(84,1),(86,1),(153,1),(160,1),(238,1),(383,1)}
       121:{1,2,4,5}:{(85,1),(86,1),(155,1),(161,1),(240,1),(385,1),(406,1)}
       122:{1,3,4,6}:{(86,1),(160,1),(161,1),(162,1),(243,1),(269,1),(340,1)}
       123:{1,4,5,6,7}:{(87,1),(89,1),(163,1),(164,1),(176,1),(233,1),(250,1),(326,1)}
       124:{3,5,6,7}:{(87,1),(90,1),(252,1),(377,1)}
       125:{2,3,5,6,7}:{(88,1),(92,1),(99,1),(150,1),(165,1),(166,1),(168,1),(178,1),(235,1),(252,1),(262,1),(312,1),(327,1),(377,1),(379,1)}
       126:{2,4,6,7}:{(88,1),(89,1),(93,1),(166,1)}
       127:{1,3,4,6,7}:{(89,1),(90,1),(94,1),(164,1),(166,1),(167,1),(248,1),(254,1),(326,1),(377,1)}
       128:{2,3,5,7}:{(91,1),(95,1),(101,1),(152,1),(168,1),(169,1),(252,1),(262,1),(312,1),(405,1)}
       129:{2,4,7}:{(92,1),(96,1),(102,1),(153,1),(170,1)}
       130:{3,5,7}:{(93,1),(97,1),(166,1),(170,1)}
       131:{2,4,5,7}:{(94,1),(98,1),(167,1),(171,1),(172,1),(181,1),(238,1),(258,1),(262,1),(312,1)}
       132:{2,4,5}:{(95,1),(96,1),(104,1),(155,1),(173,1)}
       133:{3,4,6}:{(96,1),(97,1),(170,1),(173,1)}
       134:{2,3,5,6}:{(97,1),(98,1),(171,1),(174,1),(175,1),(402,1)}
       135:{1,4,5,6}:{(98,1),(172,1),(175,1),(184,1),(241,1),(335,1),(367,1)}
       136:{1,4,6,7}:{(99,1),(102,1),(165,1),(176,1),(179,1),(399,1)}
       137:{1,3,6,7}:{(100,1),(103,1),(166,1),(178,1),(186,1),(377,1)}
       138:{1,3,5,6}:{(101,1),(107,1),(168,1),(179,1),(186,1),(320,1),(367,1)}
       139:{1,4,5,7}:{(101,1),(102,1),(104,1),(169,1),(179,1),(399,1),(411,1)}
       140:{1,3,4,7}:{(102,1),(103,1),(105,1),(170,1),(181,1),(399,1),(403,1)}
       141:{2,3,5,7}:{(103,1),(106,1),(178,1),(181,1),(182,1),(258,1),(262,1),(333,1)}
       142:{1,3,4,5}:{(104,1),(105,1),(110,1),(173,1),(183,1),(411,1),(412,1)}
       143:{2,4,6}:{(105,1),(106,1),(181,1),(183,1),(184,1)}
       144:{1,3,5,6}:{(106,1),(182,1),(184,1),(185,1),(189,1),(269,1),(270,1),(335,1)}
       145:{1,2,4,6}:{(107,1),(108,1),(179,1),(186,1),(265,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(186,1),(187,1)}
       147:{2,3,4,7}:{(109,1),(111,1),(181,1),(187,1),(188,1),(333,1)}
       148:{2,3,5}:{(110,1),(111,1),(183,1),(189,1)}
       149:{1,3,4,6}:{(111,1),(184,1),(188,1),(189,1),(190,1),(269,1),(270,1),(340,1)}
       150:{1,3,5,6,7}:{(112,1),(114,1),(125,1),(191,1),(192,1),(193,1),(221,1),(275,1),(302,1),(363,1)}
       151:{1,2,4,6,7}:{(112,1),(115,1),(126,1),(191,1),(192,1),(200,1),(210,1),(276,1),(295,1),(355,1)}
       152:{1,3,5,7}:{(113,1),(116,1),(119,1),(128,1),(193,1),(194,1),(302,1),(397,1)}
       153:{1,4,7}:{(114,1),(117,1),(129,1)}
       154:{1,3,5,7}:{(115,1),(118,1),(130,1),(192,1),(195,1),(196,1),(306,1),(392,1)}
       155:{1,4,5}:{(116,1),(117,1),(132,1)}
       156:{1,3,4,6}:{(117,1),(118,1),(133,1),(195,1),(197,1),(198,1),(396,1),(409,1)}
       157:{2,3,5,6}:{(118,1),(196,1),(198,1),(199,1),(203,1),(217,1),(284,1),(300,1),(343,1)}
       158:{1,2,5,6}:{(119,1),(193,1),(200,1),(308,1),(343,1)}
       159:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(194,1),(200,1),(201,1),(279,1)}
       160:{1,3,4,7}:{(120,1),(122,1),(201,1),(202,1),(306,1)}
       161:{1,3,5}:{(121,1),(122,1),(203,1)}
       162:{2,3,4,6}:{(122,1),(198,1),(202,1),(203,1),(204,1),(284,1),(300,1),(361,1)}
       163:{2,4,5,6,7}:{(123,1),(126,1),(205,1),(206,1),(207,1),(290,1)}
       164:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(205,1),(206,1),(219,1),(275,1)}
       165:{2,4,6,7}:{(125,1),(129,1),(136,1),(191,1),(207,1),(208,1),(211,1),(394,1)}
       166:{3,6,7}:{(126,1),(130,1)}
       167:{2,4,6,7}:{(127,1),(131,1),(206,1),(209,1),(210,1),(295,1)}
       168:{2,3,5,6}:{(128,1),(138,1),(193,1),(211,1),(228,1),(284,1),(292,1),(301,1),(343,1)}
       169:{2,4,5,7}:{(128,1),(129,1),(132,1),(139,1),(194,1),(211,1),(212,1),(394,1),(410,1)}
       170:{3,4,7}:{(129,1),(130,1),(133,1)}
       171:{2,3,5,7}:{(130,1),(131,1),(134,1),(209,1),(213,1),(214,1),(392,1)}
       172:{1,4,5,7}:{(131,1),(135,1),(210,1),(214,1),(224,1),(280,1),(302,1),(344,1)}
       173:{3,4,5}:{(132,1),(133,1)}
       174:{2,3,4,6}:{(133,1),(134,1),(143,1),(198,1),(213,1),(215,1),(216,1),(300,1),(409,1)}
       175:{1,3,5,6}:{(134,1),(135,1),(214,1),(216,1),(217,1)}
       176:{1,4,5,7}:{(136,1),(207,1),(218,1),(219,1),(344,1)}
       177:{1,3,4,6,7}:{(136,1),(137,1),(140,1),(208,1),(219,1),(220,1),(222,1)}
       178:{2,3,6,7}:{(137,1),(141,1),(220,1),(221,1),(228,1),(295,1)}
       179:{1,4,6}:{(138,1),(139,1),(211,1)}
       180:{1,3,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(212,1),(219,1),(222,1),(223,1)}
       181:{2,4,7}:{(140,1),(141,1),(143,1),(224,1)}
       182:{1,3,5,7}:{(141,1),(144,1),(221,1),(224,1),(225,1),(302,1),(306,1)}
       183:{2,4,5}:{(142,1),(143,1),(148,1),(226,1)}
       184:{1,4,6}:{(143,1),(144,1),(224,1),(226,1)}
       185:{1,2,5,6}:{(144,1),(217,1),(225,1),(227,1),(231,1),(308,1)}
       186:{1,3,6}:{(145,1),(146,1),(228,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(148,1),(223,1),(228,1),(229,1)}
       188:{1,3,4,7}:{(147,1),(149,1),(224,1),(229,1),(230,1),(306,1)}
       189:{1,3,5}:{(148,1),(149,1),(226,1),(231,1)}
       190:{1,2,4,6}:{(149,1),(230,1),(231,1),(232,1),(308,1),(310,1)}
       191:{1,4,6,7}:{(150,1),(153,1),(165,1),(233,1),(236,1),(383,1)}
       192:{1,3,6,7}:{(151,1),(154,1),(166,1),(235,1),(243,1),(377,1)}
       193:{1,3,5,6}:{(152,1),(158,1),(168,1),(236,1),(243,1),(270,1),(335,1)}
       194:{1,4,5,7}:{(152,1),(153,1),(155,1),(169,1),(236,1),(383,1),(406,1)}
       195:{1,3,4,7}:{(153,1),(154,1),(156,1),(170,1),(238,1),(383,1),(403,1)}
       196:{2,3,5,7}:{(154,1),(157,1),(235,1),(238,1),(239,1),(258,1),(312,1),(333,1)}
       197:{1,3,4,5}:{(155,1),(156,1),(161,1),(173,1),(240,1),(406,1),(412,1)}
       198:{2,4,6}:{(156,1),(157,1),(238,1),(240,1),(241,1)}
       199:{1,3,5,6}:{(157,1),(239,1),(241,1),(242,1),(246,1),(319,1),(320,1),(367,1)}
       200:{1,2,4,6}:{(158,1),(159,1),(236,1),(243,1),(315,1)}
       201:{1,3,5,7}:{(159,1),(160,1),(161,1),(243,1),(244,1)}
       202:{2,3,4,7}:{(160,1),(162,1),(238,1),(244,1),(245,1),(333,1)}
       203:{2,3,5}:{(161,1),(162,1),(240,1),(246,1)}
       204:{1,3,4,6}:{(162,1),(241,1),(245,1),(246,1),(247,1),(319,1),(320,1),(372,1)}
       205:{3,5,6,7}:{(163,1),(166,1),(248,1),(252,1)}
       206:{2,5,6,7}:{(164,1),(167,1),(250,1),(262,1),(312,1)}
       207:{2,4,5,7}:{(165,1),(176,1),(233,1),(251,1),(252,1),(262,1),(312,1)}
       208:{3,4,6,7}:{(165,1),(166,1),(170,1),(252,1),(255,1),(377,1),(403,1)}
       209:{2,3,6,7}:{(166,1),(167,1),(171,1),(254,1),(377,1)}
       210:{1,4,6,7}:{(167,1),(172,1),(250,1),(254,1)}
       211:{2,4,6}:{(168,1),(169,1),(179,1),(236,1),(255,1)}
       212:{3,4,5,7}:{(169,1),(170,1),(173,1),(252,1),(255,1),(403,1),(412,1)}
       213:{2,3,4,7}:{(170,1),(171,1),(174,1),(181,1),(238,1),(257,1),(333,1),(403,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(175,1),(254,1),(257,1),(258,1)}
       215:{2,3,4,5}:{(173,1),(174,1),(183,1),(240,1),(259,1),(334,1),(412,1)}
       216:{1,3,4,6}:{(174,1),(175,1),(184,1),(241,1),(257,1),(259,1),(260,1),(269,1),(319,1)}
       217:{2,5,6}:{(175,1),(258,1),(260,1)}
       218:{1,4,5,6}:{(176,1),(179,1),(251,1),(261,1),(367,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(252,1),(261,1),(262,1)}
       220:{2,4,6,7}:{(177,1),(178,1),(181,1),(262,1),(263,1),(265,1)}
       221:{1,3,6,7}:{(178,1),(182,1),(263,1),(264,1),(270,1)}
       222:{1,3,4,6}:{(179,1),(180,1),(186,1),(255,1),(261,1),(265,1)}
       223:{2,4,5,7}:{(180,1),(181,1),(183,1),(187,1),(262,1),(265,1),(266,1)}
       224:{1,4,7}:{(181,1),(182,1),(184,1)}
       225:{1,2,5,7}:{(182,1),(185,1),(258,1),(264,1),(267,1)}
       226:{1,4,5}:{(183,1),(184,1),(189,1)}
       227:{1,2,4,6}:{(184,1),(185,1),(260,1),(267,1),(268,1),(269,1)}
       228:{2,3,6}:{(186,1),(187,1),(265,1),(270,1)}
       229:{1,3,5,7}:{(187,1),(188,1),(189,1),(266,1),(270,1),(271,1)}
       230:{1,2,4,7}:{(188,1),(190,1),(271,1),(272,1)}
       231:{1,2,5}:{(189,1),(190,1)}
       232:{1,2,3,6}:{(190,1),(269,1),(272,1),(273,1)}
       233:{1,4,5,7}:{(191,1),(207,1),(274,1),(275,1),(302,1)}
       234:{1,3,4,6,7}:{(191,1),(192,1),(195,1),(208,1),(275,1),(276,1),(278,1)}
       235:{2,3,6,7}:{(192,1),(196,1),(276,1),(277,1),(284,1),(295,1)}
       236:{1,4,6}:{(193,1),(194,1),(211,1)}
       237:{1,3,4,5,7}:{(194,1),(195,1),(197,1),(201,1),(212,1),(275,1),(278,1),(279,1)}
       238:{2,4,7}:{(195,1),(196,1),(198,1),(280,1)}
       239:{1,3,5,7}:{(196,1),(199,1),(277,1),(280,1),(281,1),(344,1),(348,1)}
       240:{2,4,5}:{(197,1),(198,1),(203,1),(282,1)}
       241:{1,4,6}:{(198,1),(199,1),(280,1),(282,1)}
       242:{1,2,5,6}:{(199,1),(217,1),(281,1),(283,1),(287,1),(350,1)}
       243:{1,3,6}:{(200,1),(201,1),(284,1)}
       244:{2,3,5,7}:{(201,1),(202,1),(203,1),(279,1),(284,1),(285,1)}
       245:{1,3,4,7}:{(202,1),(204,1),(280,1),(285,1),(286,1),(348,1)}
       246:{1,3,5}:{(203,1),(204,1),(282,1),(287,1)}
       247:{1,2,4,6}:{(204,1),(286,1),(287,1),(288,1),(350,1),(352,1)}
       248:{3,4,6,7}:{(205,1),(289,1),(290,1)}
       249:{2,3,5,6,7}:{(205,1),(206,1),(209,1),(290,1),(291,1),(293,1)}
       250:{1,5,6,7}:{(206,1),(210,1),(302,1),(344,1)}
       251:{2,4,5,6}:{(207,1),(211,1),(218,1),(274,1),(292,1),(301,1),(343,1)}
       252:{3,5,7}:{(207,1),(208,1),(292,1)}
       253:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(220,1),(276,1),(290,1),(293,1),(294,1),(296,1),(358,1),(394,1)}
       254:{1,3,6,7}:{(209,1),(210,1),(214,1),(295,1)}
       255:{3,4,6}:{(211,1),(212,1),(292,1)}
       256:{2,3,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(279,1),(293,1),(296,1),(297,1),(360,1),(394,1),(410,1)}
       257:{1,3,4,7}:{(213,1),(214,1),(216,1),(224,1),(280,1),(298,1),(306,1),(348,1)}
       258:{2,5,7}:{(214,1),(217,1),(295,1),(298,1)}
       259:{1,3,4,5}:{(215,1),(216,1),(226,1),(282,1),(299,1),(307,1),(349,1)}
       260:{2,4,6}:{(216,1),(217,1),(298,1),(299,1),(300,1)}
       261:{1,3,5,6}:{(218,1),(219,1),(222,1),(292,1),(301,1)}
       262:{2,5,7}:{(219,1),(220,1),(301,1),(302,1)}
       263:{1,4,6,7}:{(220,1),(221,1),(224,1),(302,1),(304,1)}
       264:{1,2,6,7}:{(221,1),(225,1),(295,1),(308,1)}
       265:{2,4,6}:{(222,1),(223,1),(228,1),(301,1),(304,1)}
       266:{1,4,5,7}:{(223,1),(224,1),(226,1),(229,1),(302,1),(304,1)}
       267:{1,2,4,7}:{(224,1),(225,1),(227,1),(298,1),(306,1)}
       268:{1,2,4,5}:{(226,1),(227,1),(231,1),(299,1),(307,1),(310,1)}
       269:{1,3,6}:{(227,1),(300,1),(306,1),(307,1)}
       270:{1,3,6}:{(228,1),(229,1),(304,1),(308,1)}
       271:{1,2,5,7}:{(229,1),(230,1),(231,1),(308,1)}
       272:{1,2,3,7}:{(230,1),(232,1),(306,1)}
       273:{1,2,3,5}:{(231,1),(232,1),(307,1),(310,1)}
       274:{1,4,5,6}:{(233,1),(236,1),(251,1),(311,1),(335,1)}
       275:{1,3,5,7}:{(233,1),(234,1),(252,1),(311,1),(312,1)}
       276:{2,4,6,7}:{(234,1),(235,1),(238,1),(312,1),(313,1),(315,1)}
       277:{1,3,6,7}:{(235,1),(239,1),(313,1),(314,1),(320,1)}
       278:{1,3,4,6}:{(236,1),(237,1),(243,1),(255,1),(311,1),(315,1)}
       279:{2,4,5,7}:{(237,1),(238,1),(240,1),(244,1),(312,1),(315,1),(316,1)}
       280:{1,4,7}:{(238,1),(239,1),(241,1)}
       281:{1,2,5,7}:{(239,1),(242,1),(258,1),(314,1),(317,1)}
       282:{1,4,5}:{(240,1),(241,1),(246,1)}
       283:{1,2,4,6}:{(241,1),(242,1),(260,1),(317,1),(318,1),(319,1)}
       284:{2,3,6}:{(243,1),(244,1),(315,1),(320,1)}
       285:{1,3,5,7}:{(244,1),(245,1),(246,1),(316,1),(320,1),(321,1)}
       286:{1,2,4,7}:{(245,1),(247,1),(321,1),(322,1)}
       287:{1,2,5}:{(246,1),(247,1)}
       288:{1,2,3,6}:{(247,1),(319,1),(322,1),(323,1)}
       289:{3,4,5,7}:{(248,1),(252,1),(324,1),(325,1),(403,1)}
       290:{2,4,6,7}:{(248,1),(249,1),(325,1),(326,1)}
       291:{1,3,5,6,7}:{(249,1),(250,1),(254,1),(326,1),(327,1),(329,1),(377,1)}
       292:{3,5,6}:{(251,1),(252,1),(255,1)}
       293:{2,3,5,7}:{(252,1),(253,1),(262,1),(312,1),(325,1),(328,1),(329,1)}
       294:{1,3,4,6,7}:{(253,1),(254,1),(257,1),(263,1),(313,1),(326,1),(329,1),(330,1),(331,1),(337,1),(369,1),(377,1),(383,1),(399,1),(403,1)}
       295:{2,6,7}:{(254,1),(258,1)}
       296:{2,3,4,6}:{(255,1),(256,1),(265,1),(315,1),(328,1),(331,1),(380,1),(404,1)}
       297:{1,3,4,5,7}:{(256,1),(257,1),(259,1),(266,1),(316,1),(329,1),(331,1),(332,1),(339,1),(371,1),(383,1),(399,1),(403,1),(406,1),(411,1),(412,1)}
       298:{2,4,7}:{(257,1),(258,1),(260,1),(333,1)}
       299:{2,4,5}:{(259,1),(260,1),(334,1)}
       300:{2,3,6}:{(260,1),(269,1),(319,1),(333,1),(334,1)}
       301:{2,5,6}:{(261,1),(262,1),(265,1),(335,1)}
       302:{1,5,7}:{(262,1),(263,1),(335,1)}
       303:{1,2,4,6,7}:{(263,1),(264,1),(267,1),(330,1),(336,1),(337,1),(338,1),(383,1)}
       304:{1,4,6}:{(265,1),(266,1),(270,1),(335,1)}
       305:{1,2,4,5,7}:{(266,1),(267,1),(268,1),(271,1),(332,1),(336,1),(338,1),(339,1),(342,1),(383,1),(385,1),(406,1)}
       306:{1,3,7}:{(267,1),(269,1),(333,1)}
       307:{1,3,5}:{(268,1),(269,1),(334,1),(340,1)}
       308:{1,2,6}:{(270,1),(271,1)}
       309:{1,2,3,5,7}:{(271,1),(272,1),(273,1),(339,1),(341,1),(342,1),(385,1)}
       310:{1,2,4}:{(273,1),(340,1)}
       311:{1,3,5,6}:{(274,1),(275,1),(278,1),(292,1),(343,1)}
       312:{2,5,7}:{(275,1),(276,1),(343,1),(344,1)}
       313:{1,4,6,7}:{(276,1),(277,1),(280,1),(344,1),(346,1)}
       314:{1,2,6,7}:{(277,1),(281,1),(295,1),(350,1)}
       315:{2,4,6}:{(278,1),(279,1),(284,1),(343,1),(346,1)}
       316:{1,4,5,7}:{(279,1),(280,1),(282,1),(285,1),(344,1),(346,1)}
       317:{1,2,4,7}:{(280,1),(281,1),(283,1),(298,1),(348,1)}
       318:{1,2,4,5}:{(282,1),(283,1),(287,1),(299,1),(349,1),(352,1)}
       319:{1,3,6}:{(283,1),(300,1),(348,1),(349,1)}
       320:{1,3,6}:{(284,1),(285,1),(346,1),(350,1)}
       321:{1,2,5,7}:{(285,1),(286,1),(287,1),(350,1)}
       322:{1,2,3,7}:{(286,1),(288,1),(348,1)}
       323:{1,2,3,5}:{(287,1),(288,1),(349,1),(352,1)}
       324:{3,4,5,6}:{(289,1),(292,1),(353,1),(409,1)}
       325:{2,4,5,7}:{(289,1),(290,1),(293,1),(353,1),(354,1),(394,1)}
       326:{1,4,6,7}:{(290,1),(291,1),(354,1),(355,1)}
       327:{2,5,6,7}:{(291,1),(295,1),(355,1),(357,1)}
       328:{2,3,5,6}:{(292,1),(293,1),(296,1),(301,1),(343,1),(353,1),(356,1)}
       329:{1,3,5,7}:{(293,1),(294,1),(302,1),(344,1),(354,1),(356,1),(357,1),(392,1)}
       330:{2,4,6,7}:{(294,1),(295,1),(298,1),(357,1),(358,1),(359,1),(394,1)}
       331:{1,3,4,6}:{(296,1),(297,1),(304,1),(346,1),(356,1),(359,1),(364,1),(388,1),(396,1),(407,1),(409,1)}
       332:{2,4,5,7}:{(297,1),(298,1),(299,1),(357,1),(359,1),(360,1),(394,1),(410,1)}
       333:{2,3,7}:{(298,1),(300,1),(306,1),(348,1)}
       334:{2,3,5}:{(299,1),(300,1),(307,1),(349,1),(361,1)}
       335:{1,5,6}:{(301,1),(302,1),(304,1)}
       336:{1,2,5,7}:{(302,1),(303,1),(357,1),(362,1),(363,1)}
       337:{1,3,6,7}:{(303,1),(306,1),(358,1),(363,1),(364,1)}
       338:{1,2,4,6}:{(304,1),(305,1),(308,1),(359,1),(362,1),(364,1),(396,1)}
       339:{1,3,5,7}:{(305,1),(306,1),(307,1),(360,1),(364,1),(365,1),(397,1)}
       340:{1,3,4}:{(307,1),(310,1),(361,1)}
       341:{1,2,3,6}:{(308,1),(309,1),(364,1),(366,1)}
       342:{1,2,4,7}:{(309,1),(310,1),(365,1),(366,1)}
       343:{2,5,6}:{(311,1),(312,1),(315,1),(367,1)}
       344:{1,5,7}:{(312,1),(313,1),(367,1)}
       345:{1,2,4,6,7}:{(313,1),(314,1),(317,1),(330,1),(368,1),(369,1),(370,1),(399,1)}
       346:{1,4,6}:{(315,1),(316,1),(320,1),(367,1)}
       347:{1,2,4,5,7}:{(316,1),(317,1),(318,1),(321,1),(332,1),(368,1),(370,1),(371,1),(374,1),(399,1),(401,1),(411,1)}
       348:{1,3,7}:{(317,1),(319,1),(333,1)}
       349:{1,3,5}:{(318,1),(319,1),(334,1),(372,1)}
       350:{1,2,6}:{(320,1),(321,1)}
       351:{1,2,3,5,7}:{(321,1),(322,1),(323,1),(371,1),(373,1),(374,1),(401,1)}
       352:{1,2,4}:{(323,1),(372,1)}
       353:{2,4,5,6}:{(324,1),(325,1),(328,1),(375,1),(404,1)}
       354:{1,4,5,7}:{(325,1),(326,1),(329,1),(375,1),(376,1),(383,1),(399,1)}
       355:{2,4,6,7}:{(326,1),(327,1),(376,1),(377,1)}
       356:{1,3,5,6}:{(328,1),(329,1),(331,1),(335,1),(367,1),(375,1),(378,1),(402,1)}
       357:{2,5,7}:{(329,1),(330,1),(378,1)}
       358:{2,3,6,7}:{(330,1),(333,1),(337,1),(369,1),(377,1),(379,1),(380,1)}
       359:{2,4,6}:{(331,1),(332,1),(378,1),(380,1)}
       360:{2,3,5,7}:{(332,1),(333,1),(334,1),(339,1),(371,1),(380,1),(381,1),(405,1)}
       361:{2,3,4}:{(334,1),(340,1),(372,1)}
       362:{1,2,5,6}:{(335,1),(336,1),(338,1),(378,1),(382,1),(385,1)}
       363:{1,3,5,7}:{(336,1),(337,1),(379,1),(382,1),(383,1)}
       364:{1,3,6}:{(338,1),(339,1),(380,1)}
       365:{1,3,4,7}:{(339,1),(340,1),(342,1),(381,1),(383,1),(384,1)}
       366:{1,2,4,6}:{(341,1),(342,1),(384,1),(385,1)}
       367:{1,5,6}:{(343,1),(344,1),(346,1)}
       368:{1,2,5,7}:{(344,1),(345,1),(357,1),(386,1),(387,1)}
       369:{1,3,6,7}:{(345,1),(348,1),(358,1),(387,1),(388,1)}
       370:{1,2,4,6}:{(346,1),(347,1),(350,1),(359,1),(386,1),(388,1),(407,1)}
       371:{1,3,5,7}:{(347,1),(348,1),(349,1),(360,1),(388,1),(389,1),(408,1)}
       372:{1,3,4}:{(349,1),(352,1),(361,1)}
       373:{1,2,3,6}:{(350,1),(351,1),(388,1),(390,1)}
       374:{1,2,4,7}:{(351,1),(352,1),(389,1),(390,1)}
       375:{1,4,5,6}:{(353,1),(354,1),(356,1),(391,1),(396,1),(407,1)}
       376:{2,4,5,7}:{(354,1),(355,1),(357,1),(391,1),(392,1),(394,1)}
       377:{3,6,7}:{(355,1),(392,1)}
       378:{2,5,6}:{(356,1),(357,1),(359,1)}
       379:{2,3,5,7}:{(357,1),(358,1),(363,1),(387,1),(392,1),(393,1),(394,1)}
       380:{2,3,6}:{(359,1),(360,1),(364,1),(388,1)}
       381:{2,3,4,7}:{(360,1),(361,1),(365,1),(389,1),(394,1),(395,1)}
       382:{1,3,5,6}:{(362,1),(363,1),(364,1),(393,1),(396,1),(397,1)}
       383:{1,4,7}:{(363,1),(394,1),(396,1)}
       384:{1,3,4,6}:{(364,1),(365,1),(366,1),(395,1),(396,1),(397,1)}
       385:{1,2,5}:{(366,1),(397,1)}
       386:{1,2,5,6}:{(367,1),(368,1),(370,1),(378,1),(398,1),(401,1)}
       387:{1,3,5,7}:{(368,1),(369,1),(379,1),(398,1),(399,1)}
       388:{1,3,6}:{(370,1),(371,1),(380,1)}
       389:{1,3,4,7}:{(371,1),(372,1),(374,1),(381,1),(399,1),(400,1)}
       390:{1,2,4,6}:{(373,1),(374,1),(400,1),(401,1)}
       391:{2,4,5,6}:{(375,1),(376,1),(378,1),(402,1),(404,1)}
       392:{3,5,7}:{(376,1),(377,1),(402,1),(403,1)}
       393:{2,3,5,6}:{(378,1),(379,1),(380,1),(382,1),(398,1),(402,1),(404,1),(405,1)}
       394:{2,4,7}:{(379,1),(383,1),(399,1),(403,1),(404,1)}
       395:{2,3,4,6}:{(380,1),(381,1),(384,1),(400,1),(404,1),(405,1)}
       396:{1,4,6}:{(382,1),(383,1),(404,1),(406,1)}
       397:{1,3,5}:{(384,1),(385,1),(405,1),(406,1)}
       398:{1,3,5,6}:{(386,1),(387,1),(388,1),(393,1),(407,1),(408,1)}
       399:{1,4,7}:{(387,1),(394,1),(407,1)}
       400:{1,3,4,6}:{(388,1),(389,1),(390,1),(395,1),(407,1),(408,1)}
       401:{1,2,5}:{(390,1),(408,1)}
       402:{3,5,6}:{(391,1),(392,1),(409,1)}
       403:{3,4,7}:{(392,1),(394,1),(409,1)}
       404:{2,4,6}:{(393,1),(394,1),(396,1),(407,1),(409,1),(410,1)}
       405:{2,3,5}:{(395,1),(397,1),(408,1),(410,1)}
       406:{1,4,5}:{(396,1),(397,1),(410,1)}
       407:{1,4,6}:{(398,1),(399,1),(404,1),(411,1)}
       408:{1,3,5}:{(400,1),(401,1),(405,1),(411,1)}
       409:{3,4,6}:{(402,1),(403,1),(404,1),(412,1)}
       410:{2,4,5}:{(404,1),(405,1),(406,1),(411,1),(412,1)}
       411:{1,4,5}:{(407,1),(408,1),(410,1)}
       412:{3,4,5}:{(409,1),(410,1)}

2180 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2181 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(18,1),(23,1),(48,1),(58,1),(89,1),(90,1),(92,1),(101,1),(126,1),(162,1)}
         1:{1,3,4,6,7}:{(0,1),(5,1),(6,1),(11,1),(27,1),(32,1),(41,1),(64,1),(68,1),(70,1),(78,1),(80,1),(106,1),(112,1),(115,1),(122,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(39,1),(77,1),(110,1),(121,1),(142,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(10,1),(39,1),(76,1),(77,1)}
         4:{1,2,4,6,7}:{(5,1),(11,1),(12,1),(41,1),(42,1),(78,1),(120,1),(143,1),(144,1),(145,1),(152,1)}
         5:{2,4,6,7}:{(1,1),(14,1),(15,1),(48,1),(49,1),(101,1),(126,1),(133,1),(136,1)}
         6:{1,3,5,7}:{(1,1),(2,1),(15,1),(16,1),(17,1),(50,1),(99,1),(100,1),(125,1),(139,1),(155,1)}
         7:{2,3,5,6}:{(2,1),(16,1),(18,1),(54,1),(92,1),(94,1)}
         8:{2,4,5,7}:{(2,1),(17,1),(18,1),(19,1),(48,1),(88,1)}
         9:{1,3,5,6,7}:{(3,1),(16,1),(20,1),(21,1),(56,1),(57,1),(98,1),(99,1)}
        10:{2,4,6,7}:{(3,1),(18,1),(21,1),(22,1),(23,1)}
        11:{1,3,6,7}:{(4,1),(14,1),(24,1),(61,1),(128,1),(157,1),(162,1)}
        12:{1,2,5,7}:{(4,1),(15,1),(24,1),(25,1),(99,1),(138,1),(155,1)}
        13:{1,2,4,6,7}:{(5,1),(27,1),(28,1),(64,1),(65,1),(78,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
        14:{2,3,6,7}:{(5,1),(11,1),(27,1),(29,1),(70,1),(82,1),(108,1),(120,1),(149,1)}
        15:{2,5,7}:{(5,1),(6,1),(30,1),(121,1),(142,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(30,1),(32,1),(70,1),(115,1),(117,1)}
        17:{1,4,5,7}:{(6,1),(8,1),(31,1),(32,1),(41,1),(64,1),(79,1),(105,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(35,1)}
        19:{3,4,5,7}:{(8,1),(35,1),(39,1),(68,1),(110,1)}
        20:{2,5,6,7}:{(9,1),(30,1),(36,1),(77,1),(120,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(32,1),(36,1),(37,1)}
        22:{2,4,5,7}:{(10,1),(34,1),(37,1),(39,1),(77,1),(152,1)}
        23:{3,4,6,7}:{(10,1),(35,1),(39,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(29,1),(40,1),(41,1)}
        25:{1,2,5,6}:{(12,1),(30,1),(40,1),(42,1),(117,1),(121,1),(145,1),(151,1),(164,1)}
        26:{1,2,4,5,7}:{(12,1),(31,1),(41,1),(42,1),(43,1),(74,1),(79,1),(81,1),(116,1),(121,1),(144,1),(152,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(14,1),(44,1),(86,1),(103,1),(141,1),(162,1)}
        28:{1,2,5,7}:{(13,1),(15,1),(44,1),(45,1),(99,1),(138,1),(139,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(24,1),(44,1),(47,1),(48,1),(50,1),(138,1),(162,1)}
        30:{2,5,6}:{(15,1),(16,1),(49,1),(136,1)}
        31:{2,4,5,7}:{(15,1),(17,1),(48,1),(49,1),(50,1),(88,1)}
        32:{1,4,6}:{(16,1),(17,1),(18,1),(49,1)}
        33:{1,3,4,5,7}:{(17,1),(19,1),(50,1),(52,1),(53,1),(57,1),(60,1),(85,1),(93,1),(96,1),(100,1),(125,1),(130,1),(137,1),(158,1),(162,1),(171,1)}
        34:{2,4,5,6}:{(18,1),(22,1),(51,1),(54,1),(88,1),(94,1),(161,1)}
        35:{3,4,6}:{(18,1),(19,1),(54,1)}
        36:{2,4,6,7}:{(20,1),(21,1),(49,1),(55,1),(56,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(51,1),(55,1),(57,1),(99,1),(137,1)}
        38:{1,3,4,6,7}:{(21,1),(23,1),(52,1),(56,1),(57,1),(58,1),(96,1),(98,1),(137,1),(162,1)}
        39:{3,5,7}:{(22,1),(23,1),(54,1),(162,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(47,1),(59,1),(61,1),(100,1),(128,1),(155,1),(170,1)}
        41:{1,4,7}:{(24,1),(48,1),(59,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(49,1),(59,1),(61,1),(95,1),(101,1),(136,1),(161,1)}
        43:{1,3,5,7}:{(26,1),(50,1),(60,1),(61,1),(62,1),(100,1),(157,1),(162,1),(170,1),(171,1)}
        44:{1,3,5,7}:{(27,1),(28,1),(29,1),(63,1),(64,1)}
        45:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1),(117,1),(124,1),(142,1),(151,1),(153,1)}
        46:{1,2,4,5,7}:{(28,1),(31,1),(64,1),(65,1),(66,1),(74,1),(105,1),(107,1),(116,1),(123,1),(142,1),(152,1),(153,1),(166,1),(169,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(40,1),(63,1),(67,1),(70,1),(82,1),(108,1),(110,1),(121,1),(142,1),(151,1),(167,1),(168,1)}
        48:{2,4,7}:{(29,1),(41,1),(64,1),(67,1),(68,1)}
        49:{2,4,6}:{(30,1),(31,1),(32,1),(70,1)}
        50:{3,5,7}:{(31,1),(68,1),(70,1),(110,1)}
        51:{1,4,5,6}:{(32,1),(34,1),(37,1),(69,1),(72,1),(79,1),(105,1),(117,1),(150,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(35,1),(70,1),(72,1),(73,1),(113,1),(115,1),(150,1),(168,1)}
        53:{2,4,5,7}:{(33,1),(71,1),(73,1),(74,1),(77,1),(81,1),(107,1),(116,1),(118,1),(121,1),(142,1),(146,1),(152,1),(166,1)}
        54:{3,5,6}:{(34,1),(35,1),(39,1),(110,1),(168,1)}
        55:{2,4,5,7}:{(36,1),(37,1),(69,1),(75,1),(77,1),(118,1)}
        56:{3,6,7}:{(36,1),(70,1),(75,1)}
        57:{1,3,5,7}:{(37,1),(38,1),(39,1),(72,1),(75,1),(77,1)}
        58:{2,4,6,7}:{(38,1),(73,1),(76,1),(77,1),(78,1),(118,1),(120,1),(152,1)}
        59:{1,4,6}:{(40,1),(41,1),(67,1),(79,1),(173,1)}
        60:{1,3,4,7}:{(41,1),(43,1),(68,1),(80,1),(81,1),(173,1),(174,1)}
        61:{1,3,6}:{(42,1),(43,1),(70,1),(82,1),(168,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(116,1),(121,1),(149,1),(167,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(47,1),(84,1),(86,1),(103,1),(125,1),(139,1),(163,1)}
        64:{1,4,7}:{(44,1),(48,1),(84,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(49,1),(84,1),(86,1),(95,1),(126,1),(136,1),(161,1)}
        66:{1,3,5,7}:{(46,1),(50,1),(85,1),(86,1),(87,1),(125,1),(141,1),(162,1),(163,1),(171,1)}
        67:{2,4,6}:{(47,1),(48,1),(59,1),(84,1),(88,1),(89,1),(172,1)}
        68:{3,4,7}:{(48,1),(50,1),(89,1),(162,1)}
        69:{2,4,5,6}:{(49,1),(51,1),(55,1),(88,1),(91,1),(94,1),(134,1)}
        70:{3,6}:{(49,1),(50,1)}
        71:{2,3,5,7}:{(50,1),(53,1),(90,1),(92,1),(93,1),(131,1),(162,1),(171,1)}
        72:{1,3,5,6}:{(51,1),(52,1),(54,1),(57,1),(91,1),(94,1),(100,1),(125,1)}
        73:{2,4,6}:{(52,1),(53,1),(92,1),(94,1),(95,1),(136,1)}
        74:{1,4,5,7}:{(53,1),(93,1),(95,1),(99,1),(102,1),(127,1),(137,1),(139,1),(155,1),(158,1)}
        75:{3,5,7}:{(55,1),(56,1),(91,1),(96,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(92,1),(97,1),(98,1),(162,1)}
        77:{2,5,7}:{(57,1),(58,1),(94,1),(99,1)}
        78:{1,4,6,7}:{(58,1),(95,1),(98,1),(99,1),(137,1)}
        79:{1,4,5}:{(59,1),(88,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(89,1),(100,1),(101,1)}
        81:{2,4,7}:{(60,1),(62,1),(101,1),(102,1),(172,1)}
        82:{2,3,6}:{(61,1),(62,1),(101,1),(103,1),(136,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(64,1),(67,1),(105,1),(169,1)}
        85:{1,3,4,7}:{(64,1),(66,1),(68,1),(106,1),(107,1),(169,1),(174,1)}
        86:{1,3,6}:{(65,1),(66,1),(70,1),(108,1),(168,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(116,1),(142,1),(149,1),(167,1)}
        88:{2,4,5}:{(67,1),(79,1),(105,1),(110,1),(121,1),(142,1)}
        89:{3,4,6}:{(67,1),(68,1),(70,1),(110,1),(168,1),(174,1)}
        90:{2,3,4,7}:{(68,1),(71,1),(81,1),(107,1),(111,1),(112,1),(118,1),(149,1),(174,1)}
        91:{3,5,6}:{(69,1),(70,1),(75,1),(110,1),(113,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(168,1)}
        93:{1,3,5,7}:{(71,1),(74,1),(112,1),(115,1),(116,1),(147,1)}
        94:{2,5,6}:{(72,1),(73,1),(77,1),(117,1),(121,1),(142,1)}
        95:{1,4,6}:{(73,1),(74,1),(115,1),(117,1)}
        96:{3,4,7}:{(75,1),(113,1),(118,1)}
        97:{2,3,5,7}:{(75,1),(76,1),(77,1),(114,1),(118,1),(119,1)}
        98:{1,3,6,7}:{(76,1),(78,1),(115,1),(119,1),(120,1)}
        99:{1,5,7}:{(77,1),(78,1),(117,1)}
       100:{1,3,5}:{(79,1),(80,1),(110,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,4,7}:{(81,1),(83,1),(122,1),(169,1)}
       103:{1,3,6}:{(82,1),(83,1),(122,1),(124,1)}
       104:{1,2,5,7}:{(83,1),(116,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(88,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(89,1),(125,1),(126,1)}
       107:{2,4,7}:{(85,1),(87,1),(126,1),(127,1),(172,1)}
       108:{2,3,6}:{(86,1),(87,1),(126,1),(128,1),(136,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,5}:{(88,1),(89,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(92,1),(101,1),(126,1),(131,1),(132,1),(134,1),(160,1),(172,1)}
       112:{1,3,4,7}:{(90,1),(93,1),(102,1),(127,1),(132,1),(133,1),(137,1),(141,1),(157,1),(162,1)}
       113:{3,4,6}:{(91,1),(96,1),(130,1),(134,1)}
       114:{2,3,5,6}:{(91,1),(92,1),(94,1),(97,1),(131,1),(134,1),(135,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(136,1)}
       116:{2,5,7}:{(93,1),(133,1),(136,1),(159,1)}
       117:{1,5,6}:{(94,1),(95,1),(99,1),(139,1),(155,1)}
       118:{2,4,7}:{(96,1),(97,1),(134,1),(137,1)}
       119:{1,3,5,7}:{(97,1),(98,1),(99,1),(135,1),(137,1),(138,1),(162,1)}
       120:{2,6,7}:{(98,1),(136,1),(138,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,4,7}:{(102,1),(104,1),(133,1),(140,1),(141,1)}
       124:{1,2,6}:{(103,1),(104,1),(136,1)}
       125:{1,3,5}:{(105,1),(106,1),(110,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,4,7}:{(107,1),(109,1),(143,1),(173,1)}
       128:{1,3,6}:{(108,1),(109,1),(143,1),(145,1)}
       129:{1,2,5,7}:{(109,1),(116,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,3,5}:{(110,1),(111,1),(121,1),(142,1),(146,1),(147,1)}
       132:{1,3,4,6}:{(111,1),(112,1),(115,1),(122,1),(143,1),(147,1),(148,1),(150,1),(154,1),(165,1),(168,1),(169,1),(173,1),(174,1)}
       133:{2,4,7}:{(112,1),(116,1),(148,1),(149,1)}
       134:{2,4,6}:{(113,1),(114,1),(118,1),(146,1),(150,1)}
       135:{1,3,5,6}:{(114,1),(115,1),(117,1),(119,1),(147,1),(150,1),(151,1),(168,1)}
       136:{2,6}:{(115,1),(116,1)}
       137:{1,4,7}:{(118,1),(119,1),(150,1),(152,1)}
       138:{2,5,7}:{(119,1),(120,1),(151,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(148,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(123,1),(149,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,4,7}:{(127,1),(129,1),(133,1),(156,1),(157,1)}
       145:{1,2,6}:{(128,1),(129,1),(136,1)}
       146:{2,4,5}:{(130,1),(131,1),(134,1),(158,1),(172,1)}
       147:{1,3,5}:{(131,1),(132,1),(139,1),(155,1),(158,1),(159,1),(171,1)}
       148:{2,4,6}:{(132,1),(133,1),(136,1),(159,1),(160,1),(172,1)}
       149:{2,3,7}:{(133,1),(141,1),(157,1),(160,1),(162,1)}
       150:{1,4,6}:{(134,1),(135,1),(137,1),(158,1),(161,1)}
       151:{2,5,6}:{(135,1),(136,1),(138,1),(159,1),(161,1)}
       152:{2,4,7}:{(137,1),(138,1),(161,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(159,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(160,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(148,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(144,1),(149,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,5}:{(147,1),(148,1)}
       160:{2,3,6}:{(148,1),(149,1),(154,1),(165,1),(167,1),(168,1)}
       161:{2,4,6}:{(150,1),(151,1),(152,1),(166,1),(168,1)}
       162:{3,7}:{(152,1),(168,1)}
       163:{1,3,5}:{(153,1),(154,1),(167,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(159,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(160,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{2,3,5}:{(159,1),(160,1),(163,1),(170,1),(171,1),(172,1)}
       168:{3,6}:{(161,1),(162,1),(171,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,5}:{(166,1),(168,1),(174,1)}
       172:{2,4}:{(167,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2182 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2183 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(100,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(39,1),(80,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(30,1),(85,1),(107,1),(112,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(46,1),(85,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(46,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(96,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(18,1),(19,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(20,1),(21,1),(24,1),(49,1),(63,1),(90,1),(96,1)}
         8:{2,3,4,7}:{(1,1),(19,1),(21,1),(62,1),(101,1)}
         9:{2,4,5}:{(2,1),(20,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(23,1),(24,1),(25,1),(63,1)}
        11:{1,3,5}:{(3,1),(22,1),(24,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(73,1),(107,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(73,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(33,1),(34,1),(80,1),(135,1)}
        17:{3,4,5,7}:{(5,1),(34,1),(35,1),(113,1),(133,1)}
        18:{1,3,5,6}:{(6,1),(7,1),(33,1),(36,1),(37,1),(75,1)}
        19:{2,3,5,7}:{(6,1),(8,1),(34,1),(37,1),(38,1)}
        20:{2,4,6}:{(7,1),(9,1),(36,1),(39,1),(40,1)}
        21:{1,3,4,7}:{(7,1),(8,1),(37,1),(40,1),(45,1),(72,1),(86,1),(108,1),(113,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(39,1),(41,1)}
        23:{1,2,5,6}:{(10,1),(36,1),(42,1),(43,1),(46,1),(89,1)}
        24:{1,3,6}:{(10,1),(11,1),(39,1),(45,1)}
        25:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        26:{1,3,4}:{(11,1),(13,1),(41,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(44,1),(46,1),(47,1),(89,1)}
        28:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        29:{1,2,4,6}:{(14,1),(20,1),(48,1),(49,1),(50,1),(90,1)}
        30:{1,3,5}:{(14,1),(22,1),(49,1),(51,1)}
        31:{1,2,3,6}:{(15,1),(49,1),(52,1),(53,1)}
        32:{1,2,4}:{(15,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(54,1),(55,1),(63,1),(90,1),(129,1),(136,1)}
        34:{2,4,5,7}:{(16,1),(17,1),(19,1),(55,1),(56,1),(101,1),(128,1)}
        35:{3,4,6,7}:{(17,1),(56,1),(57,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(55,1),(59,1),(60,1),(97,1)}
        38:{2,3,6,7}:{(19,1),(56,1),(60,1)}
        39:{2,3,6}:{(20,1),(22,1),(24,1),(49,1),(62,1)}
        40:{2,4,7}:{(20,1),(21,1),(59,1),(62,1)}
        41:{2,3,4}:{(22,1),(26,1),(51,1)}
        42:{1,3,5,6}:{(23,1),(24,1),(58,1),(63,1),(64,1),(66,1),(106,1),(129,1)}
        43:{1,2,5,7}:{(23,1),(25,1),(59,1),(64,1),(65,1)}
        44:{1,3,4,6}:{(24,1),(26,1),(27,1),(61,1),(63,1),(66,1),(67,1),(106,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,2,5}:{(27,1),(66,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(68,1)}
        48:{1,2,5,6}:{(29,1),(36,1),(69,1),(70,1),(73,1),(111,1)}
        49:{1,3,6}:{(29,1),(30,1),(39,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,4}:{(30,1),(32,1),(41,1)}
        52:{1,2,4,6}:{(31,1),(32,1),(71,1),(73,1),(74,1),(111,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(75,1),(76,1),(80,1),(135,1),(139,1)}
        55:{1,4,5,7}:{(33,1),(34,1),(37,1),(76,1),(77,1),(86,1),(108,1),(120,1),(131,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(38,1),(77,1),(78,1)}
        57:{3,5,6,7}:{(35,1),(78,1),(79,1),(133,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(42,1),(69,1),(75,1),(80,1),(81,1),(83,1),(118,1),(135,1)}
        59:{2,5,7}:{(36,1),(37,1),(40,1),(82,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(77,1),(82,1),(114,1)}
        61:{2,3,4,6}:{(39,1),(41,1),(44,1),(71,1),(80,1),(83,1),(84,1),(118,1)}
        62:{2,3,7}:{(39,1),(40,1),(45,1),(72,1)}
        63:{1,4,6}:{(42,1),(80,1),(85,1),(86,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(81,1),(86,1),(87,1),(120,1)}
        65:{1,2,6,7}:{(43,1),(82,1),(87,1),(89,1)}
        66:{1,3,5}:{(44,1),(46,1),(83,1),(85,1)}
        67:{1,3,4,7}:{(44,1),(45,1),(47,1),(84,1),(86,1),(88,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(58,1),(90,1),(91,1),(93,1),(123,1),(136,1)}
        70:{1,2,5,7}:{(48,1),(50,1),(59,1),(91,1),(92,1)}
        71:{1,3,4,6}:{(49,1),(51,1),(52,1),(61,1),(90,1),(93,1),(94,1),(123,1)}
        72:{1,3,7}:{(49,1),(50,1),(62,1)}
        73:{1,2,5}:{(52,1),(93,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(94,1),(95,1)}
        75:{3,5,6}:{(54,1),(96,1),(97,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(59,1),(97,1),(98,1),(101,1),(128,1),(138,1)}
        77:{1,4,6,7}:{(55,1),(56,1),(60,1),(98,1),(99,1)}
        78:{2,5,6,7}:{(56,1),(57,1),(99,1),(128,1)}
        79:{4,5,6,7}:{(57,1),(138,1)}
        80:{2,4,6}:{(58,1),(63,1),(90,1),(96,1),(100,1),(101,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(62,1),(64,1),(91,1),(97,1),(101,1),(102,1),(128,1)}
        82:{2,6,7}:{(59,1),(60,1)}
        83:{2,3,5}:{(61,1),(66,1),(93,1),(100,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(67,1),(94,1),(101,1),(103,1)}
        85:{1,4,5}:{(63,1),(66,1),(100,1)}
        86:{1,4,7}:{(63,1),(64,1),(101,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(102,1),(105,1),(106,1)}
        88:{1,3,5,7}:{(66,1),(67,1),(68,1),(103,1),(104,1),(106,1)}
        89:{1,2,6}:{(68,1),(106,1)}
        90:{1,4,6}:{(69,1),(80,1),(107,1),(108,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(108,1),(109,1),(131,1)}
        92:{1,2,6,7}:{(70,1),(82,1),(109,1),(111,1)}
        93:{1,3,5}:{(71,1),(73,1),(83,1),(107,1)}
        94:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(108,1),(110,1)}
        95:{1,2,5,7}:{(73,1),(74,1),(110,1),(111,1)}
        96:{3,4,6}:{(75,1),(80,1),(112,1),(113,1)}
        97:{3,5,7}:{(75,1),(76,1),(113,1),(114,1)}
        98:{2,4,6,7}:{(76,1),(77,1),(82,1),(114,1),(115,1),(134,1)}
        99:{1,5,6,7}:{(77,1),(78,1),(115,1),(120,1),(131,1)}
       100:{2,4,5}:{(80,1),(83,1),(85,1),(107,1),(112,1)}
       101:{2,4,7}:{(80,1),(81,1),(86,1),(108,1),(113,1)}
       102:{2,3,6,7}:{(81,1),(82,1),(87,1),(109,1),(114,1),(117,1),(118,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(85,1),(86,1),(88,1),(116,1),(119,1),(120,1)}
       105:{1,4,6,7}:{(86,1),(87,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(119,1)}
       107:{1,4,5}:{(90,1),(93,1),(100,1)}
       108:{1,4,7}:{(90,1),(91,1),(101,1)}
       109:{1,3,6,7}:{(91,1),(92,1),(102,1),(122,1),(123,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(121,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{3,4,5}:{(96,1),(100,1)}
       113:{3,4,7}:{(96,1),(97,1),(101,1)}
       114:{3,6,7}:{(97,1),(98,1)}
       115:{2,5,6,7}:{(98,1),(99,1),(126,1),(128,1)}
       116:{2,4,5,7}:{(100,1),(101,1),(103,1),(104,1),(121,1),(124,1),(127,1),(128,1)}
       117:{2,4,6,7}:{(101,1),(102,1),(105,1),(122,1),(125,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(127,1)}
       119:{1,4,6}:{(104,1),(106,1),(127,1),(129,1)}
       120:{1,5,7}:{(105,1),(128,1),(129,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(110,1),(116,1),(130,1),(131,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(130,1)}
       124:{3,4,5,7}:{(112,1),(113,1),(116,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(117,1),(132,1),(133,1),(134,1)}
       126:{3,5,6,7}:{(114,1),(115,1),(133,1),(134,1)}
       127:{2,4,6}:{(116,1),(118,1),(119,1),(130,1),(132,1),(135,1)}
       128:{2,5,7}:{(117,1),(120,1),(131,1),(133,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,4,6}:{(121,1),(123,1),(127,1),(136,1)}
       131:{1,5,7}:{(122,1),(128,1),(136,1)}
       132:{3,4,6}:{(124,1),(127,1),(137,1)}
       133:{3,5,7}:{(125,1),(128,1),(137,1),(138,1)}
       134:{4,6,7}:{(126,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2184 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2185 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(32,1),(40,1),(44,1),(47,1),(98,1),(105,1),(190,1),(195,1),(284,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(58,1),(61,1),(324,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(71,1),(152,1),(239,1),(323,1)}
         3:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(44,1),(95,1),(190,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(33,1),(195,1),(285,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(101,1),(358,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(44,1),(98,1),(112,1),(202,1),(283,1),(370,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(34,1),(51,1),(104,1),(217,1),(219,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(61,1),(72,1),(78,1),(131,1),(163,1),(227,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,7}:{(3,1),(5,1),(20,1),(22,1),(239,1)}
        11:{1,2,4,5,6}:{(4,1),(21,1),(24,1),(25,1),(29,1),(61,1),(84,1),(137,1),(142,1),(149,1),(151,1),(224,1),(243,1),(262,1),(317,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(62,1),(76,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(23,1),(25,1),(26,1),(144,1),(148,1),(335,1),(398,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(61,1),(84,1),(149,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(63,1),(85,1),(150,1),(263,1),(265,1),(341,1)}
        16:{1,3,4,5}:{(9,1),(33,1),(34,1),(285,1),(302,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(190,1)}
        18:{1,3,4,6}:{(8,1),(36,1),(38,1),(39,1),(95,1),(99,1),(110,1),(190,1)}
        19:{2,3,5}:{(8,1),(9,1),(33,1),(38,1)}
        20:{2,3,4,7}:{(8,1),(10,1),(39,1),(41,1),(101,1),(211,1),(272,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(34,1),(40,1),(43,1),(44,1),(190,1),(304,1),(354,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,4,6,7}:{(10,1),(13,1),(42,1),(44,1),(45,1),(116,1),(192,1),(283,1),(296,1),(358,1),(368,1),(371,1)}
        24:{1,2,4,5,7}:{(11,1),(43,1),(46,1),(53,1),(101,1),(125,1),(187,1),(193,1),(199,1),(201,1),(269,1),(286,1),(303,1),(353,1),(358,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(47,1),(102,1),(116,1)}
        26:{1,2,5,7}:{(13,1),(45,1),(47,1),(195,1),(199,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(49,1),(179,1),(302,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(99,1),(198,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(101,1),(125,1),(199,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(307,1)}
        32:{1,2,3,5}:{(17,1),(58,1),(65,1),(140,1)}
        33:{2,4,5}:{(16,1),(19,1),(60,1),(61,1)}
        34:{1,3,4,6}:{(16,1),(21,1),(61,1),(63,1),(324,1),(339,1),(382,1)}
        35:{1,3,4,5,7}:{(16,1),(22,1),(62,1),(63,1),(64,1),(76,1),(150,1),(161,1)}
        36:{1,2,4,6}:{(17,1),(18,1),(58,1),(65,1),(66,1),(153,1)}
        37:{1,2,3,7}:{(17,1),(66,1),(239,1)}
        38:{1,3,5}:{(18,1),(19,1),(60,1),(65,1)}
        39:{1,3,4,7}:{(18,1),(20,1),(66,1),(69,1),(146,1),(239,1)}
        40:{2,3,5,6}:{(19,1),(21,1),(61,1),(68,1),(71,1),(72,1),(84,1),(149,1),(163,1),(224,1),(227,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(69,1),(72,1)}
        42:{2,3,4,6,7}:{(20,1),(23,1),(70,1),(72,1),(73,1),(148,1),(160,1),(165,1),(229,1),(253,1),(257,1),(258,1),(313,1),(333,1),(336,1),(338,1),(381,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(63,1),(71,1),(74,1),(239,1),(341,1),(384,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(73,1),(75,1),(76,1),(241,1),(396,1)}
        46:{1,2,4,6,7}:{(24,1),(25,1),(74,1),(77,1),(87,1),(148,1),(162,1),(172,1),(236,1),(266,1),(310,1),(379,1)}
        47:{1,2,5,6}:{(25,1),(26,1),(75,1),(149,1),(398,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(80,1),(140,1)}
        49:{2,3,4,6}:{(27,1),(28,1),(61,1),(80,1),(82,1),(227,1),(339,1)}
        50:{2,3,4,5,7}:{(27,1),(62,1),(81,1),(82,1),(83,1),(161,1),(170,1),(228,1),(256,1),(315,1),(340,1),(381,1),(399,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(80,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(82,1),(85,1),(86,1),(341,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(146,1),(246,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(150,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(91,1),(117,1),(352,1)}
        57:{1,3,4,5,6}:{(34,1),(93,1),(94,1),(104,1),(177,1),(278,1),(280,1),(354,1)}
        58:{1,2,4}:{(32,1),(95,1)}
        59:{1,2,3,5,7}:{(32,1),(37,1),(97,1),(98,1),(106,1),(191,1),(195,1),(369,1),(370,1),(419,1)}
        60:{1,4,5}:{(33,1),(38,1),(99,1)}
        61:{2,4,6}:{(33,1),(34,1),(40,1),(99,1),(101,1)}
        62:{2,4,5,7}:{(33,1),(35,1),(41,1),(100,1),(101,1),(102,1),(199,1)}
        63:{1,3,4,7}:{(34,1),(43,1),(101,1),(358,1),(372,1),(407,1)}
        64:{1,3,4,6}:{(35,1),(44,1),(102,1),(104,1),(116,1),(210,1)}
        65:{1,2,5}:{(36,1),(38,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(39,1),(106,1)}
        67:{1,2,3,6,7}:{(37,1),(98,1),(107,1),(108,1),(283,1),(294,1),(367,1),(420,1)}
        68:{1,3,5,6}:{(38,1),(40,1),(99,1),(105,1),(109,1),(110,1),(190,1),(198,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(100,1),(106,1),(110,1)}
        70:{1,3,4,6,7}:{(39,1),(42,1),(107,1),(110,1),(111,1),(192,1),(197,1),(205,1),(207,1),(283,1),(294,1),(358,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(101,1),(109,1),(112,1),(125,1),(199,1),(211,1),(269,1),(272,1)}
        72:{2,3,6}:{(41,1),(44,1),(102,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(111,1),(113,1),(114,1),(199,1),(213,1),(274,1),(292,1),(365,1)}
        74:{1,3,6,7}:{(43,1),(44,1),(46,1),(112,1),(307,1),(405,1)}
        75:{1,3,5,6}:{(44,1),(45,1),(47,1),(113,1),(116,1),(366,1),(368,1)}
        76:{1,4,5,7}:{(45,1),(114,1),(116,1),(285,1),(358,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(115,1),(128,1),(199,1),(220,1),(281,1),(286,1),(347,1),(420,1)}
        78:{2,3,4}:{(95,1),(117,1)}
        79:{2,4,5}:{(48,1),(117,1),(119,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(51,1),(99,1),(119,1),(121,1),(190,1)}
        81:{1,3,4,5,7}:{(48,1),(50,1),(100,1),(120,1),(121,1),(122,1),(191,1),(216,1),(285,1),(299,1),(302,1),(358,1),(372,1),(374,1),(421,1)}
        82:{2,3,4,7}:{(49,1),(52,1),(101,1),(121,1),(272,1),(372,1)}
        83:{2,3,4,6}:{(50,1),(102,1),(122,1),(124,1),(210,1),(273,1),(298,1),(351,1)}
        84:{2,5,6}:{(51,1),(119,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(121,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(307,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(199,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(309,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(133,1),(140,1)}
        91:{2,3,4,6}:{(56,1),(61,1),(130,1),(133,1),(135,1),(163,1),(382,1)}
        92:{2,3,4,5,7}:{(56,1),(62,1),(134,1),(135,1),(136,1),(161,1),(164,1),(234,1),(256,1),(260,1),(338,1),(383,1),(427,1)}
        93:{2,4,5,6}:{(57,1),(61,1),(130,1),(137,1),(138,1),(149,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(63,1),(138,1),(139,1),(150,1),(225,1),(318,1),(320,1),(384,1)}
        95:{1,3,4}:{(58,1),(78,1),(131,1),(140,1)}
        96:{1,2,4,5}:{(58,1),(60,1),(65,1),(79,1),(132,1),(140,1),(142,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(141,1),(144,1),(436,1)}
        98:{1,2,3,6}:{(59,1),(144,1),(153,1),(240,1),(398,1)}
        99:{1,4,6}:{(60,1),(61,1),(68,1),(146,1)}
       100:{1,4,5,7}:{(60,1),(62,1),(69,1),(146,1),(147,1),(246,1)}
       101:{2,4,7}:{(61,1),(63,1),(71,1),(146,1)}
       102:{2,4,6}:{(62,1),(64,1),(72,1),(147,1),(149,1)}
       103:{1,3,4,6,7}:{(63,1),(64,1),(74,1),(148,1),(150,1),(162,1),(257,1)}
       104:{1,3,5,6}:{(64,1),(149,1),(150,1),(151,1),(249,1)}
       105:{1,2,5,6}:{(65,1),(68,1),(84,1),(142,1),(152,1),(153,1),(224,1)}
       106:{1,2,5,7}:{(65,1),(66,1),(69,1),(153,1)}
       107:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(144,1),(153,1),(154,1),(155,1),(251,1),(336,1)}
       108:{1,2,3,5,7}:{(67,1),(145,1),(154,1),(155,1),(252,1),(323,1),(392,1),(435,1),(453,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(146,1),(152,1),(156,1),(239,1),(246,1)}
       110:{1,3,6}:{(69,1),(72,1),(147,1),(153,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(154,1),(157,1),(158,1),(241,1),(246,1)}
       112:{2,3,6,7}:{(71,1),(72,1),(74,1),(148,1),(156,1),(172,1),(310,1)}
       113:{2,3,5,6}:{(72,1),(73,1),(75,1),(149,1),(157,1),(160,1),(249,1),(331,1),(333,1)}
       114:{2,4,5,7}:{(73,1),(76,1),(158,1),(160,1),(161,1),(260,1),(315,1),(338,1),(381,1)}
       115:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(150,1),(159,1),(162,1),(323,1),(396,1),(397,1)}
       116:{1,4,6}:{(75,1),(76,1),(160,1)}
       117:{2,3,5}:{(78,1),(79,1),(140,1),(163,1)}
       118:{2,3,4,7}:{(78,1),(141,1),(164,1),(165,1),(338,1),(439,1)}
       119:{2,4,6}:{(79,1),(80,1),(84,1),(163,1),(166,1)}
       120:{2,4,5,7}:{(79,1),(81,1),(164,1),(166,1),(167,1),(260,1),(261,1),(338,1),(401,1),(437,1)}
       121:{1,3,4,7}:{(80,1),(82,1),(85,1),(146,1),(166,1),(239,1)}
       122:{1,3,4,6}:{(81,1),(83,1),(147,1),(167,1),(169,1),(240,1),(324,1),(337,1),(339,1)}
       123:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(148,1),(168,1),(170,1),(174,1),(257,1),(313,1),(336,1),(345,1),(381,1),(399,1)}
       124:{2,3,5,6}:{(83,1),(149,1),(169,1),(170,1),(171,1),(249,1),(331,1)}
       125:{2,5,7}:{(84,1),(85,1),(166,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(170,1),(173,1),(174,1),(176,1),(268,1),(345,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(246,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(248,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(91,1),(93,1),(177,1),(178,1),(354,1)}
       131:{2,3,4}:{(95,1),(179,1)}
       132:{2,4,5}:{(90,1),(179,1),(181,1)}
       133:{1,3,4,6}:{(90,1),(91,1),(99,1),(177,1),(181,1),(183,1),(190,1)}
       134:{1,3,4,5,7}:{(90,1),(92,1),(100,1),(182,1),(183,1),(184,1),(191,1),(277,1),(285,1),(299,1),(352,1),(358,1),(407,1),(409,1),(441,1)}
       135:{2,3,4,7}:{(91,1),(101,1),(178,1),(183,1),(211,1),(407,1)}
       136:{2,3,4,6}:{(92,1),(102,1),(184,1),(186,1),(210,1),(212,1),(298,1),(301,1)}
       137:{1,4,5,6}:{(93,1),(99,1),(177,1),(187,1),(198,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(101,1),(178,1),(187,1),(188,1),(199,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(348,1),(349,1),(405,1)}
       140:{1,3,5}:{(95,1),(96,1),(117,1),(179,1),(190,1)}
       141:{1,3,4,7}:{(95,1),(97,1),(118,1),(180,1),(191,1),(192,1),(358,1),(447,1)}
       142:{1,2,4,6}:{(96,1),(99,1),(105,1),(119,1),(181,1),(190,1),(193,1)}
       143:{1,2,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(120,1),(182,1),(191,1),(193,1),(194,1),(195,1),(285,1),(286,1),(299,1),(358,1),(369,1),(416,1),(445,1)}
       144:{1,2,4,6}:{(97,1),(98,1),(192,1),(195,1)}
       145:{1,2,3,5,6}:{(98,1),(108,1),(195,1),(196,1),(203,1),(284,1),(288,1),(294,1),(362,1),(418,1),(419,1),(446,1)}
       146:{1,4,7}:{(99,1),(101,1),(109,1)}
       147:{1,4,6}:{(100,1),(102,1),(110,1),(198,1)}
       148:{2,4,6,7}:{(101,1),(102,1),(103,1),(112,1),(197,1),(199,1)}
       149:{2,5,6}:{(102,1),(104,1),(198,1),(199,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(199,1),(201,1),(292,1)}
       151:{1,4,5,6}:{(104,1),(116,1),(200,1),(201,1),(366,1)}
       152:{1,2,5,7}:{(105,1),(109,1),(125,1),(193,1),(202,1),(269,1)}
       153:{1,2,6}:{(106,1),(110,1)}
       154:{1,2,5,7}:{(107,1),(111,1),(195,1),(203,1),(365,1)}
       155:{1,2,4,7}:{(108,1),(196,1),(205,1),(358,1),(414,1)}
       156:{1,3,6,7}:{(109,1),(110,1),(112,1),(197,1),(202,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(113,1),(198,1),(203,1),(207,1),(294,1)}
       158:{1,4,5,7}:{(111,1),(114,1),(207,1),(285,1),(358,1)}
       159:{2,3,5,6,7}:{(112,1),(113,1),(115,1),(199,1),(206,1),(209,1),(220,1),(292,1),(300,1),(307,1),(347,1),(350,1),(365,1),(367,1),(405,1)}
       160:{2,4,6}:{(113,1),(114,1),(116,1),(207,1),(210,1)}
       161:{3,4,5,7}:{(114,1),(210,1),(292,1),(302,1),(352,1),(372,1),(407,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(209,1),(358,1)}
       163:{2,3,6}:{(117,1),(119,1),(190,1),(211,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(120,1),(191,1),(211,1),(212,1),(213,1),(423,1),(448,1)}
       165:{2,3,4,6}:{(118,1),(192,1),(212,1),(213,1),(301,1)}
       166:{2,4,7}:{(119,1),(121,1),(125,1),(211,1)}
       167:{2,4,6}:{(120,1),(122,1),(212,1),(215,1)}
       168:{1,3,4,6,7}:{(121,1),(122,1),(123,1),(126,1),(197,1),(214,1),(216,1),(221,1),(283,1),(307,1),(358,1),(371,1),(372,1),(378,1),(421,1)}
       169:{1,3,5,6}:{(122,1),(124,1),(198,1),(215,1),(216,1),(217,1),(304,1),(366,1)}
       170:{2,3,5,7}:{(123,1),(124,1),(199,1),(216,1),(218,1),(292,1),(365,1)}
       171:{2,4,5,6}:{(124,1),(217,1),(218,1),(219,1),(351,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(216,1),(220,1),(221,1),(307,1),(309,1),(378,1)}
       174:{2,4,6,7}:{(127,1),(218,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(290,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(307,1)}
       177:{1,3,5,6}:{(130,1),(133,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(135,1),(138,1),(225,1),(226,1),(384,1)}
       179:{2,3,5}:{(131,1),(132,1),(140,1),(227,1)}
       180:{2,3,4,7}:{(131,1),(141,1),(228,1),(229,1),(381,1),(452,1)}
       181:{2,4,6}:{(132,1),(133,1),(224,1),(227,1),(230,1)}
       182:{2,4,5,7}:{(132,1),(134,1),(228,1),(230,1),(231,1),(315,1),(316,1),(381,1),(429,1),(450,1)}
       183:{1,3,4,7}:{(133,1),(135,1),(146,1),(225,1),(230,1),(239,1)}
       184:{1,3,4,6}:{(134,1),(136,1),(147,1),(231,1),(233,1),(240,1),(324,1),(337,1),(382,1)}
       185:{2,3,4,6,7}:{(135,1),(136,1),(148,1),(226,1),(232,1),(234,1),(257,1),(258,1),(312,1),(336,1),(338,1),(425,1),(427,1)}
       186:{2,3,5,6}:{(136,1),(149,1),(233,1),(234,1),(235,1),(249,1),(331,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(146,1),(225,1),(236,1),(246,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(310,1)}
       189:{1,3,5,6,7}:{(139,1),(150,1),(237,1),(238,1),(322,1)}
       190:{1,3,6}:{(140,1),(142,1),(163,1),(227,1),(239,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(228,1),(239,1),(240,1),(241,1),(434,1),(453,1)}
       192:{1,3,4,6}:{(141,1),(144,1),(165,1),(229,1),(240,1),(241,1),(324,1)}
       193:{1,2,4,7}:{(142,1),(146,1),(152,1),(166,1),(230,1),(239,1)}
       194:{1,2,4,6}:{(143,1),(147,1),(153,1),(167,1),(231,1),(240,1),(243,1),(324,1),(337,1),(398,1)}
       195:{1,2,5}:{(144,1),(241,1)}
       196:{1,2,4,6}:{(145,1),(155,1),(244,1),(245,1),(324,1),(390,1),(436,1)}
       197:{1,4,6,7}:{(146,1),(147,1),(148,1),(156,1),(246,1)}
       198:{1,5,6}:{(147,1),(149,1),(246,1)}
       199:{2,5,7}:{(148,1),(149,1),(150,1),(246,1)}
       200:{2,4,5,6}:{(149,1),(151,1),(160,1),(247,1),(248,1),(249,1),(331,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(248,1),(396,1)}
       202:{1,2,6,7}:{(152,1),(153,1),(156,1),(172,1),(310,1)}
       203:{1,2,5,6}:{(153,1),(154,1),(157,1),(251,1),(331,1)}
       204:{1,2,4,5,7}:{(154,1),(155,1),(158,1),(244,1),(251,1),(252,1),(256,1)}
       205:{1,3,4,7}:{(155,1),(245,1),(252,1),(253,1),(453,1)}
       206:{1,3,5,6,7}:{(156,1),(157,1),(159,1),(246,1),(250,1),(254,1),(323,1),(330,1),(332,1)}
       207:{1,4,6}:{(157,1),(158,1),(160,1)}
       208:{1,3,4,5,7}:{(158,1),(161,1),(252,1),(255,1),(256,1),(325,1),(330,1),(389,1)}
       209:{2,4,6,7}:{(159,1),(160,1),(162,1),(248,1),(254,1),(257,1),(338,1),(381,1)}
       210:{3,4,6}:{(160,1),(161,1),(249,1)}
       211:{2,3,7}:{(163,1),(166,1),(239,1)}
       212:{2,3,6}:{(164,1),(167,1),(240,1)}
       213:{2,3,5}:{(165,1),(241,1),(260,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(168,1),(172,1),(258,1),(261,1),(338,1),(404,1),(437,1)}
       215:{2,5,6}:{(167,1),(169,1),(261,1)}
       216:{1,3,5,7}:{(168,1),(169,1),(170,1),(246,1),(261,1),(263,1),(341,1),(396,1)}
       217:{1,4,5,6}:{(169,1),(171,1),(262,1),(263,1),(324,1)}
       218:{2,4,5,7}:{(170,1),(171,1),(174,1),(263,1),(265,1),(381,1)}
       219:{3,4,5,6}:{(171,1),(249,1),(265,1),(382,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(261,1),(266,1),(404,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(263,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(330,1)}
       224:{2,5,6}:{(177,1),(181,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(183,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(405,1)}
       227:{2,3,6}:{(179,1),(181,1),(190,1),(272,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,4,6}:{(180,1),(192,1),(273,1),(274,1),(351,1)}
       230:{2,4,7}:{(181,1),(183,1),(269,1),(272,1)}
       231:{2,4,6}:{(182,1),(184,1),(273,1),(276,1)}
       232:{1,3,4,6,7}:{(183,1),(184,1),(185,1),(197,1),(270,1),(275,1),(277,1),(283,1),(348,1),(358,1),(371,1),(405,1),(407,1),(440,1),(441,1)}
       233:{1,3,5,6}:{(184,1),(186,1),(198,1),(276,1),(277,1),(278,1),(354,1),(366,1)}
       234:{2,3,5,7}:{(185,1),(186,1),(199,1),(277,1),(279,1),(292,1),(365,1)}
       235:{2,4,5,6}:{(186,1),(278,1),(279,1),(280,1),(301,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(199,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(348,1),(413,1)}
       239:{1,3,7}:{(190,1),(193,1),(211,1),(272,1)}
       240:{1,3,6}:{(191,1),(194,1),(212,1),(273,1)}
       241:{1,3,5}:{(192,1),(195,1),(213,1),(274,1),(285,1)}
       242:{1,2,4,6,7}:{(193,1),(194,1),(197,1),(202,1),(214,1),(275,1),(283,1),(286,1),(358,1),(371,1),(420,1),(445,1)}
       243:{1,2,5,6}:{(194,1),(195,1),(198,1),(215,1),(276,1),(284,1),(286,1),(366,1)}
       244:{1,2,4,5}:{(195,1),(196,1),(285,1),(288,1),(360,1)}
       245:{1,3,4,6}:{(196,1),(205,1),(288,1),(289,1),(294,1),(446,1),(447,1)}
       246:{1,5,7}:{(197,1),(198,1),(199,1)}
       247:{1,4,5,6}:{(198,1),(200,1),(207,1),(290,1),(291,1)}
       248:{2,4,5,7}:{(199,1),(200,1),(201,1),(209,1),(290,1),(292,1),(365,1)}
       249:{3,5,6}:{(200,1),(210,1),(292,1)}
       250:{1,2,5,6,7}:{(202,1),(203,1),(206,1),(220,1),(286,1),(293,1),(309,1),(347,1),(365,1),(413,1)}
       251:{1,2,4,6}:{(203,1),(204,1),(207,1),(294,1),(298,1)}
       252:{1,3,5,7}:{(204,1),(205,1),(288,1),(294,1),(295,1)}
       253:{2,3,4,7}:{(205,1),(289,1),(295,1),(296,1),(414,1),(448,1),(454,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(209,1),(290,1),(358,1)}
       255:{1,3,4,6}:{(207,1),(208,1),(210,1),(291,1),(294,1),(298,1)}
       256:{2,4,5,7}:{(208,1),(295,1),(298,1),(299,1),(360,1),(365,1),(414,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(307,1),(372,1),(405,1),(407,1)}
       258:{2,3,6,7}:{(211,1),(212,1),(214,1),(283,1),(300,1),(307,1),(448,1)}
       259:{2,3,5,6}:{(212,1),(213,1),(215,1),(284,1),(300,1),(301,1),(304,1)}
       260:{2,4,5}:{(213,1),(285,1),(301,1),(302,1)}
       261:{2,5,7}:{(214,1),(215,1),(216,1)}
       262:{2,4,5,6}:{(215,1),(217,1),(301,1),(303,1),(304,1)}
       263:{1,4,5,7}:{(216,1),(217,1),(218,1),(221,1),(303,1),(358,1)}
       264:{1,3,4,5,6}:{(217,1),(219,1),(291,1),(304,1),(305,1),(306,1),(359,1),(376,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(407,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(303,1),(307,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(305,1),(307,1),(308,1),(378,1)}
       268:{2,5,6,7}:{(223,1),(308,1),(309,1),(365,1)}
       269:{2,5,7}:{(224,1),(225,1),(230,1),(310,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(310,1)}
       271:{2,3,5,6,7}:{(226,1),(234,1),(237,1),(311,1),(312,1),(322,1),(388,1),(425,1)}
       272:{2,3,7}:{(227,1),(230,1),(239,1)}
       273:{2,3,6}:{(228,1),(231,1),(240,1)}
       274:{2,3,5}:{(229,1),(241,1),(315,1)}
       275:{2,4,6,7}:{(230,1),(231,1),(232,1),(310,1),(313,1),(316,1),(381,1),(449,1),(450,1)}
       276:{2,5,6}:{(231,1),(233,1),(316,1)}
       277:{1,3,5,7}:{(232,1),(233,1),(234,1),(246,1),(316,1),(318,1),(384,1),(396,1)}
       278:{1,4,5,6}:{(233,1),(235,1),(317,1),(318,1),(324,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(312,1),(318,1),(320,1),(338,1)}
       280:{3,4,5,6}:{(235,1),(249,1),(320,1),(339,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(246,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(248,1),(312,1),(321,1),(322,1),(379,1),(388,1)}
       283:{1,3,6,7}:{(239,1),(240,1),(242,1),(258,1),(313,1),(323,1),(453,1)}
       284:{1,3,5,6}:{(240,1),(241,1),(243,1),(259,1),(314,1),(323,1),(324,1)}
       285:{1,4,5}:{(241,1),(260,1),(315,1),(324,1)}
       286:{1,2,5,7}:{(242,1),(243,1),(246,1),(261,1),(316,1),(323,1),(396,1)}
       287:{1,2,4,5,6}:{(243,1),(244,1),(247,1),(251,1),(262,1),(317,1),(324,1),(326,1),(327,1),(331,1),(344,1),(387,1),(390,1),(403,1),(431,1),(433,1)}
       288:{1,3,5}:{(244,1),(245,1),(328,1)}
       289:{2,3,4,6}:{(245,1),(253,1),(328,1),(329,1),(333,1),(390,1),(438,1),(439,1),(451,1),(452,1)}
       290:{1,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(255,1),(330,1),(331,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,4,6,7}:{(250,1),(251,1),(254,1),(266,1),(326,1),(332,1),(336,1),(346,1),(379,1),(404,1),(426,1),(449,1)}
       294:{1,3,6}:{(251,1),(252,1),(333,1)}
       295:{2,3,5,7}:{(252,1),(253,1),(256,1),(328,1),(333,1),(334,1)}
       296:{1,3,4,7}:{(253,1),(329,1),(334,1),(335,1),(432,1),(453,1)}
       297:{1,3,4,6,7}:{(254,1),(255,1),(257,1),(330,1),(332,1),(336,1),(389,1)}
       298:{2,4,6}:{(255,1),(256,1),(331,1),(333,1),(337,1)}
       299:{1,4,5,7}:{(256,1),(334,1),(337,1),(391,1),(396,1),(432,1)}
       300:{2,3,5,7}:{(258,1),(259,1),(261,1),(323,1),(338,1),(341,1)}
       301:{2,4,6}:{(259,1),(260,1),(324,1),(338,1),(339,1)}
       302:{3,4,5}:{(260,1),(339,1)}
       303:{2,4,5,7}:{(261,1),(262,1),(263,1),(266,1),(338,1),(341,1)}
       304:{3,5,6}:{(262,1),(339,1),(341,1)}
       305:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(330,1),(341,1),(343,1),(389,1),(402,1)}
       306:{2,4,5,6}:{(264,1),(331,1),(342,1),(343,1),(344,1),(390,1),(403,1)}
       307:{3,6,7}:{(266,1),(341,1)}
       308:{2,4,6,7}:{(267,1),(268,1),(343,1),(345,1),(346,1),(404,1)}
       309:{1,5,6,7}:{(268,1),(346,1),(396,1)}
       310:{2,6,7}:{(269,1),(270,1)}
       311:{1,3,5,6,7}:{(270,1),(271,1),(277,1),(281,1),(347,1),(348,1),(405,1),(413,1),(440,1)}
       312:{2,4,6,7}:{(271,1),(279,1),(348,1),(349,1)}
       313:{2,3,6,7}:{(272,1),(273,1),(275,1),(283,1),(350,1),(405,1),(454,1)}
       314:{2,3,5,6}:{(273,1),(274,1),(276,1),(284,1),(350,1),(351,1),(354,1)}
       315:{2,4,5}:{(274,1),(285,1),(351,1),(352,1)}
       316:{2,5,7}:{(275,1),(276,1),(277,1)}
       317:{2,4,5,6}:{(276,1),(278,1),(351,1),(353,1),(354,1)}
       318:{1,4,5,7}:{(277,1),(278,1),(279,1),(348,1),(353,1),(358,1)}
       319:{1,3,4,5,6}:{(278,1),(280,1),(291,1),(354,1),(355,1),(356,1),(359,1),(411,1)}
       320:{3,4,5,7}:{(279,1),(280,1),(292,1),(349,1),(372,1)}
       321:{1,4,5,6,7}:{(281,1),(282,1),(290,1),(348,1),(357,1)}
       322:{3,5,6,7}:{(282,1),(292,1),(349,1),(405,1)}
       323:{1,3,5,7}:{(283,1),(284,1),(286,1),(300,1),(350,1),(358,1)}
       324:{1,4,6}:{(284,1),(285,1),(301,1),(351,1),(358,1)}
       325:{1,3,4,5}:{(285,1),(288,1),(302,1),(352,1),(359,1),(360,1)}
       326:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(293,1),(303,1),(353,1),(358,1),(361,1),(365,1),(377,1),(412,1),(414,1),(424,1),(444,1),(445,1)}
       327:{1,3,5,6}:{(287,1),(288,1),(294,1),(304,1),(354,1),(359,1),(361,1),(362,1),(446,1)}
       328:{2,3,5}:{(288,1),(289,1),(360,1),(363,1)}
       329:{1,3,4,6}:{(289,1),(296,1),(363,1),(364,1),(368,1),(415,1),(446,1),(447,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(297,1),(365,1)}
       331:{2,5,6}:{(291,1),(298,1),(365,1),(366,1)}
       332:{1,3,6,7}:{(293,1),(294,1),(307,1),(361,1),(367,1),(405,1)}
       333:{2,3,6}:{(294,1),(295,1),(298,1),(368,1)}
       334:{1,3,5,7}:{(295,1),(296,1),(299,1),(363,1),(368,1),(369,1)}
       335:{1,2,4,7}:{(296,1),(364,1),(369,1),(370,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(365,1),(367,1),(371,1),(414,1)}
       337:{1,4,6}:{(298,1),(299,1),(366,1),(368,1)}
       338:{2,4,7}:{(300,1),(301,1),(358,1),(372,1)}
       339:{3,4,6}:{(301,1),(302,1),(304,1),(372,1)}
       340:{2,3,4,5}:{(302,1),(360,1),(373,1),(374,1),(443,1)}
       341:{3,5,7}:{(303,1),(304,1),(307,1),(372,1)}
       342:{2,3,5,6}:{(304,1),(306,1),(373,1),(375,1),(376,1)}
       343:{2,4,5,7}:{(305,1),(306,1),(308,1),(365,1),(375,1),(377,1),(414,1),(424,1)}
       344:{1,4,5,6}:{(306,1),(366,1),(376,1),(377,1),(415,1)}
       345:{2,3,6,7}:{(307,1),(308,1),(375,1),(378,1)}
       346:{1,4,6,7}:{(308,1),(309,1),(377,1),(378,1)}
       347:{2,5,6,7}:{(310,1),(311,1),(316,1),(379,1),(449,1)}
       348:{1,4,6,7}:{(311,1),(312,1),(318,1),(379,1)}
       349:{3,4,6,7}:{(312,1),(320,1),(322,1)}
       350:{2,3,5,7}:{(313,1),(314,1),(316,1),(323,1),(381,1),(384,1)}
       351:{2,4,6}:{(314,1),(315,1),(324,1),(381,1),(382,1)}
       352:{3,4,5}:{(315,1),(382,1)}
       353:{2,4,5,7}:{(316,1),(317,1),(318,1),(379,1),(381,1),(384,1)}
       354:{3,5,6}:{(317,1),(382,1),(384,1)}
       355:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(330,1),(380,1),(384,1),(386,1),(389,1),(430,1)}
       356:{2,4,5,6}:{(319,1),(331,1),(385,1),(386,1),(387,1),(390,1),(431,1)}
       357:{1,3,5,6,7}:{(321,1),(322,1),(330,1),(380,1),(388,1)}
       358:{1,4,7}:{(323,1),(324,1),(338,1),(381,1)}
       359:{1,3,4,6}:{(324,1),(325,1),(327,1),(339,1),(382,1),(389,1),(390,1)}
       360:{2,4,5}:{(325,1),(328,1),(390,1),(391,1)}
       361:{1,3,5,7}:{(326,1),(327,1),(332,1),(341,1),(384,1),(389,1),(392,1),(453,1)}
       362:{2,3,5,6}:{(327,1),(328,1),(331,1),(333,1),(390,1),(392,1),(393,1),(403,1),(431,1),(438,1),(451,1)}
       363:{1,3,5}:{(328,1),(329,1),(391,1),(394,1)}
       364:{1,2,4,6}:{(329,1),(335,1),(394,1),(395,1),(398,1),(436,1)}
       365:{2,5,7}:{(330,1),(331,1),(336,1),(396,1)}
       366:{1,5,6}:{(331,1),(337,1),(396,1)}
       367:{2,3,6,7}:{(332,1),(333,1),(336,1),(392,1),(397,1),(404,1),(449,1)}
       368:{1,3,6}:{(333,1),(334,1),(337,1),(398,1)}
       369:{1,2,5,7}:{(334,1),(335,1),(394,1),(398,1)}
       370:{1,2,3,7}:{(335,1),(395,1),(453,1)}
       371:{1,4,6,7}:{(336,1),(337,1),(396,1),(397,1),(432,1)}
       372:{3,4,7}:{(338,1),(339,1),(341,1)}
       373:{2,3,4,6}:{(339,1),(340,1),(342,1),(390,1),(399,1),(400,1),(451,1)}
       374:{1,3,4,5}:{(340,1),(391,1),(400,1),(401,1),(434,1)}
       375:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(399,1),(402,1)}
       376:{1,3,5,6}:{(342,1),(344,1),(400,1),(402,1),(403,1)}
       377:{1,4,5,7}:{(343,1),(344,1),(346,1),(396,1),(402,1),(432,1)}
       378:{1,3,6,7}:{(345,1),(346,1),(402,1),(404,1)}
       379:{2,4,6,7}:{(347,1),(348,1),(353,1),(405,1)}
       380:{1,3,4,6,7}:{(348,1),(349,1),(355,1),(357,1),(405,1),(406,1),(440,1)}
       381:{2,4,7}:{(350,1),(351,1),(358,1),(407,1)}
       382:{3,4,6}:{(351,1),(352,1),(354,1),(407,1)}
       383:{2,3,4,5}:{(352,1),(360,1),(408,1),(409,1),(423,1)}
       384:{3,5,7}:{(353,1),(354,1),(405,1),(407,1)}
       385:{2,3,5,6}:{(354,1),(356,1),(408,1),(410,1),(411,1)}
       386:{2,4,5,7}:{(355,1),(356,1),(365,1),(406,1),(410,1),(412,1),(414,1),(444,1)}
       387:{1,4,5,6}:{(356,1),(366,1),(411,1),(412,1),(415,1)}
       388:{2,5,6,7}:{(357,1),(365,1),(406,1),(413,1)}
       389:{1,3,4,7}:{(358,1),(359,1),(361,1),(372,1),(407,1),(414,1)}
       390:{2,4,6}:{(359,1),(360,1),(362,1),(414,1),(415,1)}
       391:{1,4,5}:{(360,1),(363,1),(415,1)}
       392:{2,3,5,7}:{(361,1),(362,1),(365,1),(367,1),(414,1),(417,1),(424,1),(444,1),(448,1),(454,1)}
       393:{1,3,5,6}:{(362,1),(363,1),(366,1),(368,1),(415,1),(417,1),(418,1),(446,1)}
       394:{1,2,5}:{(363,1),(364,1)}
       395:{1,2,3,6}:{(364,1),(370,1),(419,1),(446,1)}
       396:{1,5,7}:{(365,1),(366,1),(371,1)}
       397:{1,3,6,7}:{(367,1),(368,1),(371,1),(417,1),(420,1)}
       398:{1,2,6}:{(368,1),(369,1)}
       399:{2,3,4,7}:{(372,1),(373,1),(375,1),(414,1),(421,1),(454,1)}
       400:{1,3,4,6}:{(373,1),(374,1),(376,1),(415,1),(421,1),(422,1),(446,1)}
       401:{2,4,5}:{(374,1),(422,1),(423,1)}
       402:{1,3,5,7}:{(375,1),(376,1),(377,1),(378,1),(421,1),(424,1)}
       403:{2,5,6}:{(376,1),(422,1),(424,1)}
       404:{2,6,7}:{(378,1),(424,1)}
       405:{3,6,7}:{(379,1),(384,1)}
       406:{2,4,6,7}:{(380,1),(386,1),(388,1),(425,1),(426,1),(449,1)}
       407:{3,4,7}:{(381,1),(382,1),(384,1)}
       408:{2,3,4,6}:{(382,1),(383,1),(385,1),(390,1),(427,1),(428,1),(438,1)}
       409:{1,3,4,5}:{(383,1),(391,1),(428,1),(429,1),(434,1)}
       410:{2,3,5,7}:{(384,1),(385,1),(386,1),(425,1),(427,1),(430,1)}
       411:{1,3,5,6}:{(385,1),(387,1),(428,1),(430,1),(431,1)}
       412:{1,4,5,7}:{(386,1),(387,1),(396,1),(426,1),(430,1),(432,1)}
       413:{1,5,6,7}:{(388,1),(396,1),(426,1)}
       414:{2,4,7}:{(389,1),(390,1),(392,1),(432,1)}
       415:{1,4,6}:{(390,1),(391,1),(393,1),(432,1)}
       416:{1,2,4,5}:{(391,1),(394,1),(401,1),(429,1),(433,1),(434,1),(436,1)}
       417:{1,3,5,7}:{(392,1),(393,1),(396,1),(397,1),(432,1),(435,1),(453,1)}
       418:{1,2,5,6}:{(393,1),(394,1),(398,1),(403,1),(431,1),(433,1),(435,1)}
       419:{1,2,3,5}:{(394,1),(395,1),(434,1),(436,1)}
       420:{1,2,6,7}:{(397,1),(398,1),(404,1),(435,1),(449,1)}
       421:{1,3,4,7}:{(399,1),(400,1),(402,1),(432,1),(437,1),(453,1)}
       422:{2,4,6}:{(400,1),(401,1),(403,1),(437,1),(438,1)}
       423:{2,3,5}:{(401,1),(434,1),(438,1),(439,1)}
       424:{2,5,7}:{(402,1),(403,1),(404,1),(437,1)}
       425:{2,3,6,7}:{(405,1),(406,1),(410,1),(440,1)}
       426:{1,4,6,7}:{(406,1),(412,1),(413,1),(440,1)}
       427:{2,3,4,7}:{(407,1),(408,1),(410,1),(414,1),(441,1),(448,1)}
       428:{1,3,4,6}:{(408,1),(409,1),(411,1),(415,1),(441,1),(442,1),(446,1)}
       429:{2,4,5}:{(409,1),(442,1),(443,1)}
       430:{1,3,5,7}:{(410,1),(411,1),(412,1),(440,1),(441,1),(444,1)}
       431:{2,5,6}:{(411,1),(442,1),(444,1)}
       432:{1,4,7}:{(414,1),(415,1),(417,1)}
       433:{1,2,4,6}:{(415,1),(416,1),(418,1),(422,1),(442,1),(445,1),(446,1)}
       434:{1,3,5}:{(416,1),(423,1),(443,1),(446,1),(447,1)}
       435:{1,2,5,7}:{(417,1),(418,1),(420,1),(424,1),(444,1),(445,1)}
       436:{1,2,4}:{(419,1),(447,1)}
       437:{2,4,7}:{(421,1),(422,1),(424,1),(448,1)}
       438:{2,3,6}:{(422,1),(423,1),(446,1),(448,1)}
       439:{2,3,4}:{(423,1),(447,1)}
       440:{1,3,6,7}:{(425,1),(426,1),(430,1),(449,1)}
       441:{1,3,4,7}:{(427,1),(428,1),(430,1),(432,1),(450,1),(453,1)}
       442:{2,4,6}:{(428,1),(429,1),(431,1),(450,1),(451,1)}
       443:{2,3,5}:{(429,1),(434,1),(451,1),(452,1)}
       444:{2,5,7}:{(430,1),(431,1),(449,1),(450,1)}
       445:{1,2,4,7}:{(432,1),(433,1),(435,1),(437,1),(450,1),(453,1)}
       446:{1,3,6}:{(433,1),(434,1),(438,1),(451,1),(453,1)}
       447:{1,3,4}:{(434,1),(436,1),(439,1),(452,1)}
       448:{2,3,7}:{(437,1),(438,1),(453,1)}
       449:{2,6,7}:{(440,1),(444,1)}
       450:{2,4,7}:{(441,1),(442,1),(444,1),(454,1)}
       451:{2,3,6}:{(442,1),(443,1),(446,1),(454,1)}
       452:{2,3,4}:{(443,1),(447,1)}
       453:{1,3,7}:{(445,1),(446,1),(448,1),(454,1)}
       454:{2,3,7}:{(450,1),(451,1),(453,1)}

2186 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2187 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2188 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2189 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2190 :   0:{1,3,4,5,7}:{(6,1),(7,1),(9,1),(31,1),(40,1),(42,1),(96,1),(107,1),(117,1),(118,1),(186,1),(187,1),(191,1),(247,1)}
         1:{1,3,4,6,7}:{(7,1),(8,1),(9,1),(11,1),(47,1),(52,1),(117,1),(118,1),(191,1)}
         2:{1,3,5,6,7}:{(9,1),(10,1),(11,1),(35,1),(52,1)}
         3:{1,2,4,5,7}:{(13,1),(14,1),(16,1),(20,1),(55,1),(59,1),(68,1),(70,1),(73,1),(127,1),(134,1),(136,1),(137,1),(155,1),(209,1),(217,1),(219,1),(252,1),(256,1),(262,1)}
         4:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(17,1),(24,1),(68,1),(78,1),(122,1),(155,1),(194,1),(252,1)}
         5:{1,3,4,6,7}:{(15,1),(17,1),(18,1),(60,1),(65,1),(68,1),(142,1),(145,1)}
         6:{2,4,5,7}:{(0,1),(19,1),(20,1),(21,1),(25,1),(59,1),(73,1),(80,1),(136,1),(150,1),(155,1),(219,1)}
         7:{1,3,4,6}:{(0,1),(21,1),(22,1),(65,1),(74,1),(142,1),(152,1),(153,1),(221,1)}
         8:{2,4,6,7}:{(1,1),(21,1),(23,1),(24,1),(25,1),(78,1),(80,1),(155,1)}
         9:{1,3,5,7}:{(1,1),(22,1),(25,1),(26,1),(82,1)}
        10:{2,5,6,7}:{(2,1),(25,1),(27,1),(28,1),(64,1)}
        11:{1,4,6,7}:{(2,1),(26,1),(28,1),(65,1),(158,1)}
        12:{1,3,4,5,7}:{(29,1),(30,1),(31,1),(40,1),(85,1),(87,1),(96,1),(107,1),(227,1),(228,1),(232,1),(233,1),(273,1),(277,1)}
        13:{1,3,5,7}:{(3,1),(31,1),(32,1),(33,1),(96,1),(107,1),(173,1),(191,1),(238,1),(247,1),(273,1),(277,1)}
        14:{1,2,4,6}:{(3,1),(33,1),(34,1),(44,1),(89,1),(95,1),(100,1),(102,1),(111,1),(166,1),(188,1),(234,1),(243,1)}
        15:{1,3,6,7}:{(4,1),(33,1),(36,1),(37,1),(191,1),(243,1),(273,1)}
        16:{1,2,5,7}:{(4,1),(34,1),(37,1),(39,1),(49,1),(116,1),(161,1),(226,1),(285,1)}
        17:{2,4,6,7}:{(5,1),(36,1),(38,1),(39,1),(95,1),(102,1),(105,1)}
        18:{1,3,5,7}:{(5,1),(35,1),(39,1),(40,1),(96,1),(107,1)}
        19:{2,3,5,7}:{(6,1),(41,1),(42,1),(43,1),(107,1),(110,1),(183,1),(191,1),(247,1)}
        20:{1,4,5,7}:{(6,1),(42,1),(44,1),(49,1),(94,1),(117,1),(175,1),(186,1)}
        21:{2,4,6}:{(6,1),(7,1),(43,1),(44,1),(45,1),(111,1)}
        22:{1,3,5,6}:{(7,1),(9,1),(45,1),(46,1),(96,1),(115,1)}
        23:{2,3,6,7}:{(8,1),(43,1),(47,1),(48,1),(52,1),(120,1),(191,1)}
        24:{1,4,6,7}:{(8,1),(44,1),(47,1),(49,1),(117,1)}
        25:{2,5,7}:{(8,1),(9,1),(45,1),(49,1)}
        26:{1,4,5,7}:{(9,1),(11,1),(46,1),(50,1),(117,1),(193,1)}
        27:{1,5,6,7}:{(10,1),(49,1),(51,1),(101,1)}
        28:{2,4,6,7}:{(10,1),(11,1),(50,1),(51,1),(52,1),(102,1),(120,1)}
        29:{2,4,5,7}:{(12,1),(54,1),(55,1),(56,1),(59,1),(123,1),(127,1),(136,1),(196,1),(202,1),(252,1),(256,1)}
        30:{1,3,4,6}:{(12,1),(56,1),(57,1),(65,1),(128,1),(142,1),(204,1),(205,1),(258,1)}
        31:{1,3,4,7}:{(13,1),(59,1),(60,1),(68,1),(145,1),(262,1),(268,1),(291,1)}
        32:{2,3,5,7}:{(13,1),(59,1),(61,1),(62,1),(73,1),(127,1),(136,1),(147,1),(199,1),(218,1),(255,1)}
        33:{1,3,6}:{(13,1),(14,1),(62,1),(142,1),(221,1),(258,1)}
        34:{1,2,5,6}:{(14,1),(16,1),(63,1),(64,1),(76,1),(130,1),(136,1),(151,1),(203,1),(209,1),(297,1)}
        35:{1,3,5,6}:{(18,1),(64,1),(65,1),(142,1)}
        36:{2,3,6,7}:{(15,1),(17,1),(62,1),(66,1),(67,1),(78,1),(142,1),(194,1),(214,1)}
        37:{1,3,5,7}:{(15,1),(16,1),(63,1),(67,1),(68,1),(217,1),(267,1)}
        38:{1,4,6,7}:{(17,1),(66,1),(69,1),(135,1),(141,1),(144,1)}
        39:{2,5,7}:{(17,1),(18,1),(64,1),(69,1),(136,1)}
        40:{1,4,5,7}:{(18,1),(65,1),(68,1),(70,1),(137,1),(217,1)}
        41:{2,3,4,7}:{(19,1),(59,1),(71,1),(72,1),(80,1),(145,1),(199,1),(216,1),(224,1),(268,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(71,1),(73,1),(74,1),(149,1),(217,1)}
        43:{2,3,6}:{(19,1),(21,1),(74,1),(142,1),(214,1),(221,1)}
        44:{1,4,6}:{(20,1),(21,1),(74,1),(76,1)}
        45:{2,5,6}:{(21,1),(22,1),(25,1),(76,1),(136,1)}
        46:{1,4,5,6}:{(22,1),(26,1),(65,1),(77,1),(137,1),(152,1),(223,1)}
        47:{1,3,6,7}:{(23,1),(24,1),(74,1),(78,1),(79,1),(158,1)}
        48:{2,3,5,7}:{(23,1),(25,1),(75,1),(79,1),(80,1),(82,1),(157,1),(224,1)}
        49:{1,5,7}:{(24,1),(25,1),(76,1)}
        50:{2,4,5,7}:{(25,1),(26,1),(28,1),(77,1),(80,1),(81,1),(82,1),(155,1),(157,1)}
        51:{1,4,6,7}:{(27,1),(28,1),(81,1),(83,1),(141,1)}
        52:{3,6,7}:{(28,1),(82,1),(142,1)}
        53:{1,3,4,6,7}:{(30,1),(84,1),(85,1),(93,1),(159,1),(172,1),(227,1),(228,1),(273,1)}
        54:{2,3,5,7}:{(29,1),(86,1),(87,1),(88,1),(107,1),(165,1),(183,1),(273,1),(277,1)}
        55:{1,4,5,7}:{(29,1),(87,1),(89,1),(94,1),(161,1),(175,1),(227,1),(232,1)}
        56:{2,4,6}:{(29,1),(30,1),(88,1),(89,1),(90,1),(166,1)}
        57:{1,3,5,6}:{(30,1),(85,1),(90,1),(91,1),(96,1),(170,1)}
        58:{1,3,5,6,7}:{(35,1),(85,1),(92,1),(93,1),(172,1)}
        59:{2,4,7}:{(31,1),(32,1),(94,1),(95,1),(246,1),(276,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(95,1),(96,1),(100,1),(179,1)}
        61:{1,3,5,7}:{(32,1),(94,1),(97,1),(98,1),(173,1),(175,1),(238,1)}
        62:{2,3,6}:{(32,1),(33,1),(95,1),(98,1),(111,1),(166,1)}
        63:{1,3,5,6}:{(33,1),(34,1),(37,1),(96,1),(99,1),(100,1),(238,1),(243,1),(283,1),(284,1)}
        64:{2,5,6}:{(35,1),(39,1),(101,1),(102,1)}
        65:{1,4,6}:{(35,1),(40,1),(102,1),(243,1)}
        66:{1,3,6,7}:{(36,1),(38,1),(98,1),(103,1),(104,1),(180,1)}
        67:{2,3,5,7}:{(36,1),(37,1),(39,1),(99,1),(104,1),(105,1),(107,1),(116,1),(183,1),(191,1),(226,1),(244,1),(273,1)}
        68:{1,4,7}:{(37,1),(100,1),(105,1)}
        69:{1,5,7}:{(38,1),(39,1),(101,1),(175,1)}
        70:{2,4,5,7}:{(39,1),(40,1),(102,1),(105,1),(106,1),(107,1),(176,1),(183,1)}
        71:{1,3,4,7}:{(41,1),(42,1),(94,1),(108,1),(109,1),(117,1),(173,1),(191,1),(245,1),(251,1)}
        72:{2,3,4,6}:{(41,1),(43,1),(95,1),(109,1),(110,1),(113,1),(179,1),(230,1),(242,1),(249,1),(276,1),(286,1)}
        73:{2,5,7}:{(42,1),(108,1),(111,1),(185,1)}
        74:{1,3,6}:{(42,1),(43,1),(44,1),(111,1),(243,1)}
        75:{2,3,5,6}:{(43,1),(45,1),(48,1),(110,1),(112,1),(113,1),(115,1),(190,1),(249,1)}
        76:{1,5,6}:{(44,1),(45,1),(49,1),(175,1)}
        77:{2,4,5,6}:{(45,1),(46,1),(50,1),(102,1),(113,1),(114,1),(115,1),(176,1),(188,1),(190,1)}
        78:{2,6,7}:{(47,1),(111,1),(116,1)}
        79:{1,3,5,7}:{(47,1),(48,1),(49,1),(112,1),(116,1),(117,1),(191,1),(193,1),(251,1)}
        80:{2,4,7}:{(48,1),(113,1),(117,1),(118,1)}
        81:{1,4,5,7}:{(49,1),(50,1),(51,1),(114,1),(117,1),(119,1)}
        82:{3,5,7}:{(50,1),(52,1),(115,1),(118,1),(191,1)}
        83:{1,3,6,7}:{(51,1),(52,1),(119,1),(120,1),(180,1)}
        84:{2,4,6,7}:{(53,1),(56,1),(121,1),(122,1),(123,1),(194,1),(196,1),(252,1)}
        85:{1,3,5,7}:{(53,1),(57,1),(123,1),(124,1),(198,1)}
        86:{2,3,4,7}:{(54,1),(59,1),(125,1),(126,1),(145,1),(147,1),(196,1),(216,1),(289,1),(291,1)}
        87:{1,3,5,7}:{(54,1),(55,1),(125,1),(127,1),(128,1),(201,1),(217,1)}
        88:{2,3,6}:{(54,1),(56,1),(128,1),(142,1),(214,1),(258,1)}
        89:{1,4,6}:{(55,1),(56,1),(128,1),(130,1)}
        90:{2,5,6}:{(56,1),(57,1),(123,1),(130,1),(136,1)}
        91:{1,4,5,6}:{(57,1),(65,1),(124,1),(131,1),(137,1),(204,1),(260,1)}
        92:{2,5,6,7}:{(58,1),(64,1),(123,1),(132,1),(133,1)}
        93:{1,4,6,7}:{(58,1),(65,1),(124,1),(133,1),(261,1)}
        94:{1,4,7}:{(59,1),(61,1),(135,1),(262,1)}
        95:{2,4,6}:{(59,1),(60,1),(62,1),(135,1),(136,1)}
        96:{1,3,5}:{(60,1),(136,1),(137,1),(211,1)}
        97:{1,2,5,7}:{(61,1),(73,1),(127,1),(134,1),(138,1),(209,1),(217,1)}
        98:{1,3,6}:{(61,1),(62,1),(135,1),(138,1)}
        99:{2,3,5,6}:{(62,1),(63,1),(64,1),(67,1),(136,1),(139,1),(140,1),(142,1),(151,1),(203,1),(211,1),(214,1),(218,1),(221,1),(255,1),(258,1),(264,1),(265,1)}
       100:{1,4,6}:{(63,1),(68,1),(137,1),(140,1),(262,1)}
       101:{1,5,6}:{(64,1),(69,1),(141,1)}
       102:{2,4,6}:{(64,1),(65,1),(70,1),(141,1),(142,1),(214,1)}
       103:{1,2,6,7}:{(66,1),(78,1),(138,1),(143,1),(158,1),(194,1),(214,1),(261,1)}
       104:{1,3,5,7}:{(66,1),(67,1),(69,1),(139,1),(143,1),(144,1),(215,1)}
       105:{2,4,7}:{(67,1),(68,1),(140,1),(144,1),(145,1)}
       106:{1,4,5,7}:{(69,1),(70,1),(141,1),(144,1),(146,1),(210,1)}
       107:{3,5,7}:{(70,1),(142,1),(145,1),(211,1)}
       108:{2,4,7}:{(71,1),(73,1),(147,1),(148,1),(272,1)}
       109:{1,3,4,6}:{(71,1),(72,1),(74,1),(135,1),(148,1),(149,1),(152,1),(208,1),(221,1),(262,1),(266,1),(268,1),(271,1),(298,1)}
       110:{2,3,5}:{(72,1),(136,1),(149,1),(150,1),(211,1),(264,1)}
       111:{2,6}:{(73,1),(74,1)}
       112:{1,3,5,6}:{(74,1),(75,1),(76,1),(79,1),(149,1),(151,1),(152,1),(221,1),(223,1),(271,1)}
       113:{2,4,6}:{(75,1),(80,1),(150,1),(152,1),(153,1)}
       114:{1,4,5,6}:{(76,1),(77,1),(81,1),(141,1),(152,1),(154,1),(210,1)}
       115:{3,5,6}:{(77,1),(82,1),(142,1),(153,1),(211,1),(221,1)}
       116:{2,5,7}:{(78,1),(79,1),(151,1),(155,1),(272,1)}
       117:{1,4,7}:{(79,1),(80,1),(152,1),(155,1)}
       118:{3,4,7}:{(80,1),(82,1),(153,1)}
       119:{1,3,5,7}:{(81,1),(82,1),(83,1),(154,1),(156,1),(157,1)}
       120:{2,6,7}:{(83,1),(157,1),(158,1),(214,1)}
       121:{2,3,6,7}:{(84,1),(88,1),(159,1),(160,1),(172,1),(237,1),(273,1)}
       122:{1,4,6,7}:{(84,1),(89,1),(159,1),(161,1),(227,1)}
       123:{2,5,7}:{(84,1),(85,1),(90,1),(161,1)}
       124:{1,4,5,7}:{(85,1),(91,1),(93,1),(162,1),(227,1),(275,1)}
       125:{1,3,4,7}:{(86,1),(87,1),(94,1),(163,1),(164,1),(173,1),(227,1),(245,1),(273,1),(300,1)}
       126:{2,3,4,6}:{(86,1),(88,1),(95,1),(164,1),(165,1),(168,1),(179,1),(184,1),(242,1),(246,1),(279,1),(301,1)}
       127:{2,5,7}:{(87,1),(163,1),(166,1),(231,1)}
       128:{1,3,6}:{(87,1),(88,1),(89,1),(166,1),(243,1)}
       129:{2,3,5,6}:{(88,1),(90,1),(160,1),(165,1),(167,1),(168,1),(170,1),(236,1),(279,1)}
       130:{1,5,6}:{(89,1),(90,1),(161,1),(175,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(102,1),(162,1),(168,1),(169,1),(170,1),(176,1),(234,1),(236,1)}
       132:{1,5,6,7}:{(92,1),(101,1),(161,1),(171,1)}
       133:{2,4,6,7}:{(92,1),(93,1),(102,1),(162,1),(171,1),(172,1),(237,1)}
       134:{1,2,4,7}:{(94,1),(97,1),(108,1),(163,1),(173,1),(174,1),(245,1),(285,1)}
       135:{1,4,6}:{(94,1),(95,1),(98,1),(175,1)}
       136:{2,5}:{(95,1),(96,1),(175,1)}
       137:{1,4,5}:{(96,1),(100,1),(176,1),(283,1)}
       138:{1,2,6}:{(97,1),(98,1),(111,1),(166,1),(243,1)}
       139:{1,3,5,6}:{(98,1),(99,1),(101,1),(104,1),(175,1),(177,1),(178,1),(180,1),(238,1),(240,1),(241,1)}
       140:{2,4,6}:{(99,1),(100,1),(105,1),(176,1),(178,1),(179,1),(246,1),(276,1)}
       141:{1,4,6}:{(101,1),(102,1),(106,1),(180,1)}
       142:{3,6}:{(102,1),(107,1)}
       143:{1,2,5,7}:{(103,1),(104,1),(116,1),(177,1),(181,1),(183,1),(193,1),(226,1),(275,1)}
       144:{1,4,7}:{(104,1),(105,1),(178,1)}
       145:{3,4,7}:{(105,1),(107,1),(179,1),(191,1),(273,1)}
       146:{1,3,5,7}:{(106,1),(107,1),(180,1),(182,1),(183,1),(240,1)}
       147:{2,3,7}:{(108,1),(173,1),(184,1),(191,1)}
       148:{2,4,6}:{(108,1),(109,1),(111,1),(184,1),(185,1),(246,1),(288,1),(306,1)}
       149:{1,3,5}:{(109,1),(110,1),(175,1),(185,1),(186,1),(247,1),(283,1)}
       150:{2,4,5}:{(110,1),(113,1),(186,1),(187,1),(276,1)}
       151:{2,5,6}:{(111,1),(112,1),(116,1),(185,1),(188,1),(288,1)}
       152:{1,4,6}:{(112,1),(113,1),(117,1),(186,1),(188,1)}
       153:{3,4,6}:{(113,1),(115,1),(118,1),(187,1)}
       154:{1,3,5,6}:{(114,1),(115,1),(119,1),(180,1),(189,1),(190,1),(240,1)}
       155:{2,4,7}:{(116,1),(117,1),(188,1),(191,1)}
       156:{1,3,4,7}:{(117,1),(118,1),(119,1),(189,1),(191,1),(192,1),(251,1)}
       157:{2,5,7}:{(119,1),(120,1),(190,1),(192,1),(193,1)}
       158:{1,6,7}:{(120,1),(193,1),(243,1)}
       159:{1,3,6,7}:{(121,1),(122,1),(128,1),(194,1),(195,1),(261,1)}
       160:{2,3,5,7}:{(121,1),(123,1),(129,1),(195,1),(196,1),(198,1),(254,1),(289,1)}
       161:{1,5,7}:{(122,1),(123,1),(130,1)}
       162:{2,4,5,7}:{(123,1),(124,1),(131,1),(133,1),(196,1),(197,1),(198,1),(252,1),(254,1)}
       163:{2,4,7}:{(125,1),(127,1),(199,1),(200,1),(307,1)}
       164:{1,3,4,6}:{(125,1),(126,1),(128,1),(135,1),(200,1),(201,1),(204,1),(208,1),(258,1),(262,1),(266,1),(291,1),(294,1),(308,1)}
       165:{2,3,5}:{(126,1),(136,1),(201,1),(202,1),(211,1),(264,1)}
       166:{2,6}:{(127,1),(128,1)}
       167:{1,3,5,6}:{(128,1),(129,1),(130,1),(195,1),(201,1),(203,1),(204,1),(258,1),(260,1),(294,1)}
       168:{2,4,6}:{(129,1),(196,1),(202,1),(204,1),(205,1)}
       169:{1,4,5,6}:{(130,1),(131,1),(141,1),(197,1),(204,1),(206,1),(210,1)}
       170:{3,5,6}:{(131,1),(142,1),(198,1),(205,1),(211,1),(258,1)}
       171:{1,4,6,7}:{(132,1),(133,1),(141,1),(197,1),(207,1)}
       172:{3,6,7}:{(133,1),(142,1),(198,1)}
       173:{1,3,7}:{(134,1),(147,1),(199,1),(208,1)}
       174:{1,2,4,6}:{(134,1),(135,1),(138,1),(148,1),(200,1),(208,1),(209,1),(262,1),(266,1),(297,1),(310,1)}
       175:{1,5}:{(135,1),(136,1)}
       176:{2,4,5}:{(136,1),(137,1),(140,1),(210,1),(211,1),(264,1)}
       177:{1,2,5,6}:{(138,1),(139,1),(143,1),(151,1),(203,1),(209,1),(212,1),(214,1),(223,1),(260,1),(264,1)}
       178:{1,4,6}:{(139,1),(140,1),(144,1),(210,1),(262,1)}
       179:{3,4,6}:{(140,1),(142,1),(145,1),(211,1),(221,1),(258,1),(268,1),(291,1)}
       180:{1,3,6}:{(141,1),(142,1),(146,1),(214,1)}
       181:{1,2,4,7}:{(143,1),(144,1),(155,1),(212,1),(215,1),(216,1),(225,1),(252,1),(272,1),(290,1),(307,1)}
       182:{1,3,4,7}:{(144,1),(145,1),(146,1),(213,1),(215,1),(216,1)}
       183:{2,5,7}:{(146,1),(214,1),(216,1),(217,1),(264,1)}
       184:{2,3,6}:{(147,1),(148,1),(208,1),(218,1),(221,1),(311,1)}
       185:{2,5}:{(148,1),(149,1)}
       186:{1,4,5}:{(149,1),(150,1),(152,1),(219,1),(262,1)}
       187:{3,4,5}:{(150,1),(153,1),(211,1),(291,1)}
       188:{2,4,6}:{(151,1),(152,1),(155,1),(219,1),(221,1)}
       189:{1,3,4,6}:{(152,1),(153,1),(154,1),(156,1),(220,1),(221,1),(222,1),(271,1)}
       190:{2,5,6}:{(154,1),(157,1),(214,1),(222,1),(223,1),(264,1)}
       191:{3,7}:{(155,1),(221,1)}
       192:{2,4,7}:{(156,1),(157,1),(222,1),(224,1),(225,1),(272,1)}
       193:{1,5,7}:{(157,1),(158,1),(223,1),(225,1)}
       194:{2,6,7}:{(159,1),(166,1),(226,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(226,1),(227,1),(273,1),(275,1),(300,1)}
       196:{2,4,7}:{(160,1),(168,1),(227,1),(228,1)}
       197:{1,4,5,7}:{(161,1),(162,1),(169,1),(171,1),(227,1),(229,1)}
       198:{3,5,7}:{(162,1),(170,1),(172,1),(228,1),(273,1)}
       199:{2,3,7}:{(163,1),(173,1),(230,1),(273,1)}
       200:{2,4,6}:{(163,1),(164,1),(166,1),(230,1),(231,1),(276,1),(303,1),(312,1)}
       201:{1,3,5}:{(164,1),(165,1),(175,1),(231,1),(232,1),(277,1),(283,1)}
       202:{2,4,5}:{(165,1),(168,1),(232,1),(233,1),(246,1)}
       203:{2,5,6}:{(166,1),(167,1),(226,1),(231,1),(234,1),(303,1)}
       204:{1,4,6}:{(167,1),(168,1),(227,1),(232,1),(234,1)}
       205:{3,4,6}:{(168,1),(170,1),(228,1),(233,1)}
       206:{1,3,5,6}:{(169,1),(170,1),(180,1),(229,1),(235,1),(236,1),(240,1)}
       207:{1,3,6,7}:{(171,1),(172,1),(180,1),(229,1),(237,1)}
       208:{1,3,6}:{(173,1),(174,1),(184,1),(230,1),(238,1),(313,1)}
       209:{1,2,5}:{(174,1),(175,1),(185,1),(231,1),(238,1),(283,1)}
       210:{1,4,5}:{(175,1),(176,1),(178,1),(240,1)}
       211:{3,5}:{(176,1),(179,1)}
       212:{1,2,4,6}:{(177,1),(178,1),(181,1),(188,1),(234,1),(239,1),(241,1),(242,1),(250,1),(280,1),(288,1),(303,1)}
       213:{1,3,4,6}:{(178,1),(179,1),(180,1),(182,1),(240,1),(241,1),(242,1),(281,1)}
       214:{2,6}:{(180,1),(183,1),(243,1)}
       215:{1,3,7}:{(181,1),(191,1),(241,1),(244,1),(273,1)}
       216:{2,4,7}:{(182,1),(183,1),(242,1),(244,1),(245,1)}
       217:{1,5,7}:{(183,1),(243,1),(245,1),(283,1)}
       218:{2,3,5}:{(184,1),(185,1),(238,1),(246,1),(247,1)}
       219:{2,4,5}:{(185,1),(186,1),(188,1),(246,1),(247,1)}
       220:{1,3,4,5}:{(186,1),(187,1),(189,1),(240,1),(247,1),(248,1),(281,1),(287,1)}
       221:{3,6}:{(188,1),(191,1),(247,1)}
       222:{2,4,6}:{(189,1),(190,1),(192,1),(248,1),(249,1),(250,1),(288,1)}
       223:{1,5,6}:{(190,1),(193,1),(243,1),(250,1),(283,1)}
       224:{2,3,7}:{(191,1),(192,1),(249,1),(251,1)}
       225:{1,4,7}:{(192,1),(193,1),(250,1),(251,1)}
       226:{2,5,7}:{(194,1),(195,1),(203,1),(252,1),(307,1)}
       227:{1,4,7}:{(195,1),(196,1),(204,1),(252,1)}
       228:{3,4,7}:{(196,1),(198,1),(205,1)}
       229:{1,3,5,7}:{(197,1),(198,1),(206,1),(207,1),(253,1),(254,1)}
       230:{2,3,6}:{(199,1),(200,1),(208,1),(255,1),(258,1),(314,1)}
       231:{2,5}:{(200,1),(201,1)}
       232:{1,4,5}:{(201,1),(202,1),(204,1),(256,1),(262,1)}
       233:{3,4,5}:{(202,1),(205,1),(211,1),(268,1)}
       234:{2,4,6}:{(203,1),(204,1),(252,1),(256,1),(258,1)}
       235:{1,3,4,6}:{(204,1),(205,1),(206,1),(253,1),(257,1),(258,1),(259,1),(294,1)}
       236:{2,5,6}:{(206,1),(214,1),(254,1),(259,1),(260,1),(264,1)}
       237:{2,6,7}:{(207,1),(214,1),(254,1),(261,1)}
       238:{1,3,5}:{(208,1),(209,1),(218,1),(255,1),(262,1)}
       239:{1,2,4,5}:{(209,1),(210,1),(212,1),(219,1),(256,1),(262,1),(263,1),(264,1),(270,1),(293,1),(295,1),(299,1),(309,1),(310,1)}
       240:{1,3,5}:{(210,1),(211,1),(213,1),(264,1)}
       241:{1,3,6}:{(212,1),(215,1),(221,1),(258,1),(263,1),(265,1)}
       242:{2,4,6}:{(213,1),(214,1),(216,1),(264,1),(265,1),(266,1),(295,1)}
       243:{1,6}:{(214,1),(217,1)}
       244:{2,3,7}:{(215,1),(216,1),(265,1),(267,1),(272,1),(307,1)}
       245:{1,4,7}:{(216,1),(217,1),(266,1),(267,1)}
       246:{2,4}:{(218,1),(262,1),(268,1)}
       247:{3,5}:{(219,1),(221,1),(268,1)}
       248:{2,4,5}:{(220,1),(222,1),(264,1),(269,1),(270,1),(295,1),(299,1)}
       249:{2,3,6}:{(221,1),(222,1),(224,1),(269,1),(271,1)}
       250:{1,4,6}:{(222,1),(223,1),(225,1),(270,1),(271,1)}
       251:{1,3,7}:{(224,1),(225,1),(271,1),(272,1)}
       252:{2,4,7}:{(226,1),(227,1),(234,1),(273,1)}
       253:{1,3,4,7}:{(227,1),(228,1),(229,1),(235,1),(273,1),(274,1),(300,1)}
       254:{2,5,7}:{(229,1),(236,1),(237,1),(274,1),(275,1)}
       255:{2,3,5}:{(230,1),(231,1),(238,1),(276,1),(277,1)}
       256:{2,4,5}:{(231,1),(232,1),(234,1),(276,1),(277,1)}
       257:{1,3,4,5}:{(232,1),(233,1),(235,1),(240,1),(277,1),(278,1),(281,1),(302,1)}
       258:{3,6}:{(234,1),(273,1),(277,1)}
       259:{2,4,6}:{(235,1),(236,1),(274,1),(278,1),(279,1),(280,1),(303,1)}
       260:{1,5,6}:{(236,1),(243,1),(275,1),(280,1),(283,1)}
       261:{1,6,7}:{(237,1),(243,1),(275,1)}
       262:{1,4}:{(238,1),(246,1),(276,1)}
       263:{1,3,5}:{(239,1),(241,1),(247,1),(277,1),(281,1),(282,1),(313,1)}
       264:{2,5}:{(240,1),(242,1),(283,1)}
       265:{2,3,6}:{(241,1),(242,1),(244,1),(282,1),(284,1),(288,1),(303,1)}
       266:{1,4,6}:{(242,1),(243,1),(245,1),(283,1),(284,1),(304,1)}
       267:{1,3,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{3,4}:{(246,1),(247,1)}
       269:{2,3,5}:{(247,1),(248,1),(249,1),(286,1),(287,1)}
       270:{1,4,5}:{(248,1),(250,1),(283,1),(287,1),(304,1)}
       271:{1,3,6}:{(249,1),(250,1),(251,1),(287,1),(288,1)}
       272:{2,7}:{(251,1),(288,1)}
       273:{3,7}:{(252,1),(258,1)}
       274:{2,4,7}:{(253,1),(254,1),(259,1),(289,1),(290,1),(307,1)}
       275:{1,5,7}:{(254,1),(260,1),(261,1),(290,1)}
       276:{2,4}:{(255,1),(262,1),(291,1)}
       277:{3,5}:{(256,1),(258,1),(291,1)}
       278:{2,4,5}:{(257,1),(259,1),(264,1),(292,1),(293,1),(295,1),(309,1)}
       279:{2,3,6}:{(258,1),(259,1),(289,1),(292,1),(294,1)}
       280:{1,4,6}:{(259,1),(260,1),(290,1),(293,1),(294,1)}
       281:{1,3,4}:{(262,1),(263,1),(268,1),(291,1),(295,1)}
       282:{2,3,5}:{(263,1),(264,1),(265,1),(295,1),(296,1),(299,1),(309,1),(311,1),(314,1)}
       283:{1,5}:{(264,1),(266,1)}
       284:{1,3,6}:{(265,1),(266,1),(267,1),(296,1),(297,1)}
       285:{1,2,7}:{(267,1),(272,1),(297,1),(307,1)}
       286:{2,3,4}:{(268,1),(269,1),(295,1),(298,1),(314,1)}
       287:{1,3,5}:{(269,1),(270,1),(271,1),(298,1),(299,1)}
       288:{2,6}:{(271,1),(272,1),(299,1)}
       289:{2,3,7}:{(273,1),(274,1),(279,1),(300,1)}
       290:{1,4,7}:{(274,1),(275,1),(280,1),(300,1)}
       291:{3,4}:{(276,1),(277,1)}
       292:{2,3,5}:{(277,1),(278,1),(279,1),(301,1),(302,1)}
       293:{1,4,5}:{(278,1),(280,1),(283,1),(302,1),(304,1)}
       294:{1,3,6}:{(279,1),(280,1),(300,1),(302,1),(303,1)}
       295:{2,4}:{(281,1),(282,1),(304,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(304,1),(305,1),(313,1)}
       297:{1,2,6}:{(284,1),(285,1),(288,1),(303,1),(305,1)}
       298:{1,3,4}:{(286,1),(287,1),(304,1),(306,1),(313,1)}
       299:{2,5}:{(287,1),(288,1),(306,1)}
       300:{1,3,7}:{(289,1),(290,1),(294,1),(307,1)}
       301:{2,3,4}:{(291,1),(292,1),(295,1),(308,1),(311,1)}
       302:{1,3,5}:{(292,1),(293,1),(294,1),(308,1),(309,1)}
       303:{2,6}:{(294,1),(307,1),(309,1)}
       304:{1,4}:{(295,1),(296,1)}
       305:{1,2,5}:{(296,1),(297,1),(299,1),(309,1),(310,1)}
       306:{2,4}:{(298,1),(299,1),(311,1)}
       307:{2,7}:{(300,1),(303,1)}
       308:{1,3,4}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(302,1),(303,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

2191 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2192 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(127,1),(176,1),(183,1),(186,1),(217,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(27,1),(29,1),(144,1),(151,1),(237,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(39,1),(75,1),(90,1),(154,1),(170,1),(172,1),(234,1),(264,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(222,1),(235,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(49,1),(286,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(196,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(129,1),(214,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(58,1),(62,1),(129,1),(215,1),(308,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(49,1),(111,1),(128,1),(284,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(266,1),(280,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(56,1),(101,1),(183,1),(210,1),(217,1),(270,1),(285,1)}
        11:{1,2,3,6,7}:{(4,1),(24,1),(25,1),(77,1),(144,1),(147,1),(230,1),(239,1),(331,1),(391,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(154,1),(243,1)}
        13:{1,2,3,5,6}:{(4,1),(24,1),(28,1),(29,1),(73,1),(76,1),(79,1),(147,1),(151,1),(157,1),(230,1),(247,1),(325,1),(334,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(26,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(27,1),(29,1),(30,1),(67,1),(75,1),(81,1),(154,1),(234,1),(237,1),(244,1),(335,1)}
        16:{2,3,4,6}:{(6,1),(26,1),(34,1),(35,1),(91,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(27,1),(34,1),(35,1),(262,1),(345,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(36,1),(38,1),(39,1),(93,1),(326,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(37,1),(39,1),(77,1),(86,1),(154,1),(165,1),(172,1),(260,1),(264,1),(330,1)}
        21:{2,4,5,6}:{(9,1),(38,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(312,1),(327,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,2,3,5,7}:{(11,1),(13,1),(45,1),(46,1),(105,1),(112,1),(202,1),(294,1),(367,1),(408,1)}
        25:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(106,1),(189,1),(279,1),(285,1),(286,1)}
        26:{1,3,4,6}:{(12,1),(14,1),(16,1),(42,1),(48,1),(49,1),(111,1)}
        27:{1,3,5,7}:{(12,1),(15,1),(17,1),(43,1),(48,1),(49,1),(291,1),(367,1)}
        28:{1,2,4,6}:{(13,1),(45,1),(50,1),(51,1),(111,1),(196,1),(198,1),(407,1)}
        29:{1,2,5}:{(14,1),(48,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(49,1),(52,1),(98,1),(111,1),(284,1),(286,1)}
        31:{2,3,4,6,7}:{(16,1),(44,1),(54,1),(60,1),(104,1),(121,1),(129,1),(191,1),(209,1),(285,1),(349,1),(405,1),(424,1)}
        32:{2,3,5,6,7}:{(22,1),(55,1),(56,1),(119,1),(204,1),(210,1)}
        33:{2,3,4,5,7}:{(17,1),(47,1),(57,1),(58,1),(120,1),(126,1),(129,1),(181,1),(186,1),(277,1)}
        34:{2,3,5}:{(16,1),(48,1),(58,1)}
        35:{2,3,6}:{(17,1),(18,1),(49,1)}
        36:{2,5,6}:{(18,1),(19,1),(62,1)}
        37:{2,4,6,7}:{(18,1),(20,1),(60,1),(62,1),(129,1),(306,1),(308,1)}
        38:{1,4,5,6}:{(19,1),(21,1),(61,1),(64,1),(111,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(64,1),(131,1),(363,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(266,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(56,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(26,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(27,1),(67,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(66,1),(70,1),(71,1),(77,1),(142,1),(145,1),(147,1),(154,1),(238,1),(324,1),(330,1),(391,1),(419,1)}
        45:{1,2,4,7}:{(24,1),(28,1),(71,1),(154,1),(246,1),(419,1)}
        46:{1,2,5,7}:{(25,1),(29,1),(70,1),(73,1),(325,1),(327,1)}
        47:{1,3,4,5,7}:{(27,1),(33,1),(67,1),(74,1),(75,1),(138,1),(150,1),(154,1),(227,1),(229,1),(234,1),(322,1)}
        48:{1,3,5}:{(26,1),(29,1),(34,1),(68,1),(75,1)}
        49:{1,3,6}:{(27,1),(30,1),(35,1),(69,1)}
        50:{1,3,4,6}:{(28,1),(71,1),(78,1),(79,1),(147,1),(243,1),(334,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(75,1),(79,1),(152,1),(325,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(36,1),(76,1),(81,1),(136,1),(326,1)}
        53:{1,2,4,6,7}:{(30,1),(37,1),(77,1),(81,1),(137,1),(154,1),(330,1),(331,1),(335,1)}
        54:{2,3,5,7}:{(31,1),(34,1),(70,1),(83,1),(84,1),(255,1),(327,1),(379,1)}
        55:{1,3,5,6,7}:{(32,1),(39,1),(85,1),(86,1),(165,1),(252,1),(260,1)}
        56:{2,4,6,7}:{(32,1),(41,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(35,1),(74,1),(88,1),(91,1),(163,1),(235,1)}
        58:{2,4,5}:{(34,1),(75,1),(90,1),(91,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(36,1),(76,1),(91,1),(92,1),(93,1)}
        60:{2,3,6,7}:{(35,1),(37,1),(77,1),(92,1),(165,1),(345,1)}
        61:{2,4,5,6}:{(36,1),(38,1),(91,1),(93,1),(94,1)}
        62:{2,5,7}:{(36,1),(37,1),(39,1)}
        63:{1,3,4,5,6}:{(38,1),(40,1),(93,1),(95,1),(96,1),(153,1),(173,1),(231,1),(249,1),(336,1),(393,1)}
        64:{1,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(94,1),(154,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(229,1),(312,1)}
        66:{2,3,4,6,7}:{(42,1),(44,1),(97,1),(101,1),(104,1),(177,1),(183,1),(191,1),(270,1),(285,1),(300,1),(374,1),(411,1)}
        67:{2,4,5,7}:{(43,1),(47,1),(98,1),(99,1),(180,1),(183,1),(275,1),(359,1)}
        68:{2,3,5}:{(42,1),(48,1),(99,1)}
        69:{2,3,6}:{(43,1),(49,1),(98,1)}
        70:{1,3,5,7}:{(44,1),(46,1),(48,1),(54,1),(97,1),(102,1),(103,1),(361,1),(363,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(104,1),(105,1),(367,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(51,1),(102,1),(105,1),(106,1),(186,1)}
        73:{1,2,5,6}:{(46,1),(103,1),(106,1),(280,1),(286,1)}
        74:{1,3,4,6}:{(47,1),(49,1),(57,1),(98,1),(108,1),(111,1),(182,1),(284,1)}
        75:{1,4,5}:{(48,1),(58,1),(99,1),(111,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(100,1),(111,1),(112,1)}
        77:{1,3,6,7}:{(49,1),(53,1),(60,1),(101,1),(112,1),(367,1)}
        78:{2,3,4,6}:{(50,1),(104,1),(114,1),(115,1),(191,1),(198,1),(214,1),(274,1),(307,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(61,1),(106,1),(111,1),(116,1),(117,1),(132,1),(179,1),(184,1),(198,1),(218,1),(280,1),(289,1),(292,1),(356,1),(362,1),(368,1),(399,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(62,1),(112,1),(180,1),(363,1)}
        82:{2,4,5,6,7}:{(56,1),(118,1),(119,1),(204,1),(267,1),(370,1)}
        83:{2,4,5,7}:{(54,1),(58,1),(102,1),(120,1),(121,1),(129,1),(402,1),(424,1)}
        84:{2,3,5,6}:{(54,1),(103,1),(121,1),(191,1),(205,1),(280,1)}
        85:{2,5,6,7}:{(55,1),(62,1),(123,1),(306,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(64,1),(123,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(119,1)}
        88:{2,3,5,6}:{(57,1),(108,1),(125,1),(126,1),(205,1),(280,1)}
        89:{2,3,4,6,7}:{(57,1),(60,1),(109,1),(126,1),(129,1),(209,1),(212,1),(277,1),(285,1),(355,1)}
        90:{3,4,5}:{(58,1),(128,1)}
        91:{2,4,6}:{(58,1),(59,1),(111,1),(128,1),(129,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(62,1),(112,1),(129,1),(131,1)}
        93:{3,5,6}:{(61,1),(128,1),(131,1)}
        94:{2,4,5,7}:{(61,1),(62,1),(64,1),(123,1),(129,1),(131,1)}
        95:{2,4,5,6}:{(63,1),(130,1),(132,1),(133,1),(198,1),(218,1),(280,1)}
        96:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(124,1),(131,1),(133,1),(199,1),(219,1),(281,1),(296,1),(369,1),(410,1)}
        97:{2,3,5,7}:{(66,1),(68,1),(70,1),(134,1),(135,1),(312,1),(327,1),(340,1)}
        98:{2,4,6}:{(67,1),(69,1),(74,1),(136,1)}
        99:{2,4,5}:{(68,1),(75,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(139,1),(140,1),(225,1)}
       101:{2,3,6,7}:{(69,1),(77,1),(137,1),(140,1),(317,1),(386,1)}
       102:{1,4,5,7}:{(70,1),(75,1),(83,1),(134,1),(142,1),(154,1),(388,1),(419,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(84,1),(135,1),(142,1),(147,1),(238,1),(326,1)}
       104:{2,3,4,7}:{(71,1),(78,1),(145,1),(146,1),(246,1),(345,1),(386,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(79,1),(146,1),(147,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(142,1),(147,1),(235,1)}
       107:{1,2,5,6,7}:{(73,1),(81,1),(85,1),(143,1),(148,1),(224,1),(252,1),(327,1),(331,1),(339,1),(387,1),(390,1),(416,1)}
       108:{1,3,5,6}:{(74,1),(88,1),(136,1),(149,1),(150,1),(225,1),(326,1)}
       109:{1,3,4,6,7}:{(74,1),(77,1),(89,1),(137,1),(150,1),(154,1),(229,1),(240,1),(317,1),(322,1),(330,1),(384,1)}
       110:{1,3,4,5}:{(75,1),(79,1),(90,1),(138,1),(152,1),(153,1),(388,1),(392,1),(413,1)}
       111:{1,4,6}:{(75,1),(76,1),(91,1),(139,1),(154,1)}
       112:{1,3,5,7}:{(76,1),(77,1),(81,1),(92,1),(140,1),(154,1)}
       113:{1,2,3,6}:{(144,1),(151,1),(155,1),(334,1)}
       114:{1,3,4,6}:{(78,1),(145,1),(155,1),(156,1),(238,1),(243,1),(245,1),(334,1)}
       115:{2,3,5}:{(78,1),(79,1),(152,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(93,1),(147,1),(153,1),(157,1),(158,1),(225,1),(334,1),(393,1),(414,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(94,1),(148,1),(154,1),(158,1),(175,1),(226,1),(232,1),(246,1),(265,1),(327,1),(333,1),(335,1),(385,1),(390,1),(394,1),(415,1),(419,1)}
       118:{1,4,5,6,7}:{(82,1),(86,1),(159,1),(160,1),(232,1),(252,1),(338,1)}
       119:{3,5,6,7}:{(82,1),(87,1),(312,1),(395,1)}
       120:{3,4,5,7}:{(83,1),(90,1),(163,1),(172,1),(255,1),(413,1),(426,1)}
       121:{2,4,6}:{(83,1),(84,1),(142,1),(163,1)}
       122:{2,3,5,6,7}:{(84,1),(85,1),(92,1),(143,1),(164,1),(165,1),(239,1),(255,1),(327,1),(416,1),(418,1),(425,1)}
       123:{2,4,6,7}:{(85,1),(86,1),(94,1),(165,1)}
       124:{1,3,4,6,7}:{(86,1),(87,1),(96,1),(160,1),(165,1),(166,1),(250,1),(260,1),(338,1),(395,1)}
       125:{2,4,5,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       126:{2,3,5,7}:{(88,1),(89,1),(150,1),(169,1),(255,1),(327,1)}
       127:{2,3,4,5}:{(90,1),(152,1),(170,1),(171,1),(320,1),(392,1)}
       128:{3,4,6}:{(90,1),(91,1),(93,1),(172,1)}
       129:{2,4,7}:{(91,1),(92,1),(154,1),(172,1)}
       130:{2,3,5,6}:{(93,1),(95,1),(171,1),(173,1),(174,1),(393,1)}
       131:{3,5,7}:{(93,1),(94,1),(165,1),(172,1)}
       132:{1,4,5,6}:{(95,1),(173,1),(175,1),(245,1),(326,1)}
       133:{2,4,5,7}:{(95,1),(96,1),(166,1),(174,1),(175,1),(246,1),(265,1),(327,1)}
       134:{2,4,5,7}:{(97,1),(99,1),(102,1),(176,1),(177,1),(183,1),(371,1),(411,1)}
       135:{2,3,5,6}:{(97,1),(103,1),(177,1),(191,1),(266,1),(280,1)}
       136:{2,5,6}:{(98,1),(108,1),(180,1)}
       137:{2,4,6,7}:{(98,1),(101,1),(109,1),(180,1),(183,1),(359,1),(406,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(111,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(112,1),(180,1),(183,1),(273,1)}
       141:{1,3,4,5,7}:{(102,1),(105,1),(110,1),(120,1),(176,1),(186,1),(187,1),(199,1),(281,1)}
       142:{1,4,6}:{(102,1),(103,1),(121,1),(177,1)}
       143:{1,3,5,6,7}:{(103,1),(107,1),(112,1),(122,1),(178,1),(188,1),(192,1),(281,1),(287,1),(363,1),(408,1)}
       144:{1,2,3,7}:{(113,1),(189,1),(367,1)}
       145:{1,3,4,7}:{(104,1),(114,1),(189,1),(190,1),(293,1),(367,1)}
       146:{2,3,5,7}:{(104,1),(105,1),(115,1),(186,1),(190,1),(191,1)}
       147:{1,3,6}:{(105,1),(106,1),(191,1)}
       148:{1,2,4,6,7}:{(106,1),(107,1),(117,1),(123,1),(188,1),(192,1),(211,1),(271,1),(285,1),(306,1),(366,1),(370,1),(406,1),(421,1)}
       149:{1,4,5,6}:{(108,1),(111,1),(125,1),(179,1),(195,1)}
       150:{1,3,5,7}:{(108,1),(109,1),(126,1),(180,1),(195,1),(273,1),(363,1)}
       151:{1,2,3,5}:{(113,1),(196,1),(200,1),(291,1)}
       152:{2,4,5}:{(110,1),(115,1),(197,1),(198,1)}
       153:{1,3,4,6}:{(110,1),(111,1),(116,1),(128,1),(182,1),(198,1),(199,1),(407,1),(409,1),(422,1)}
       154:{1,4,7}:{(111,1),(112,1),(129,1),(183,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(189,1),(196,1),(200,1),(286,1)}
       156:{1,3,5}:{(114,1),(115,1),(197,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(191,1),(198,1),(201,1),(202,1),(218,1),(280,1),(307,1),(356,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(131,1),(192,1),(199,1),(202,1),(273,1),(367,1),(410,1),(423,1)}
       159:{2,4,5,6,7}:{(118,1),(123,1),(203,1),(204,1),(206,1),(297,1)}
       160:{1,3,5,6,7}:{(118,1),(119,1),(124,1),(203,1),(204,1),(281,1)}
       161:{2,4,5,6}:{(121,1),(184,1),(205,1),(206,1),(280,1)}
       162:{2,3,4,5,7}:{(120,1),(127,1),(186,1),(207,1),(208,1),(217,1),(302,1),(352,1),(402,1),(424,1)}
       163:{3,4,6}:{(120,1),(121,1),(205,1)}
       164:{2,4,6,7}:{(121,1),(122,1),(129,1),(188,1),(206,1),(209,1),(424,1)}
       165:{3,6,7}:{(123,1),(131,1)}
       166:{2,4,6,7}:{(124,1),(133,1),(204,1),(210,1),(211,1),(306,1)}
       167:{2,3,5,6,7}:{(126,1),(193,1),(212,1),(299,1),(355,1),(360,1)}
       168:{3,4,5,6}:{(125,1),(128,1),(205,1),(213,1)}
       169:{2,4,5,7}:{(125,1),(126,1),(129,1),(195,1),(212,1),(213,1)}
       170:{1,3,4,5}:{(127,1),(197,1),(215,1),(216,1),(291,1)}
       171:{2,3,4,6}:{(127,1),(128,1),(130,1),(198,1),(216,1),(217,1),(358,1),(409,1)}
       172:{3,4,7}:{(128,1),(129,1),(131,1)}
       173:{1,3,5,6}:{(130,1),(132,1),(216,1),(218,1),(219,1)}
       174:{2,3,5,7}:{(130,1),(131,1),(133,1),(210,1),(217,1),(219,1),(410,1)}
       175:{1,4,5,7}:{(132,1),(133,1),(211,1),(219,1),(293,1),(363,1)}
       176:{3,4,5,7}:{(134,1),(138,1),(222,1),(229,1),(312,1),(392,1),(420,1)}
       177:{2,4,6}:{(134,1),(135,1),(142,1),(222,1)}
       178:{2,3,5,6,7}:{(135,1),(140,1),(143,1),(223,1),(224,1),(239,1),(312,1),(317,1),(327,1),(339,1),(395,1),(397,1)}
       179:{2,4,5,6}:{(136,1),(139,1),(149,1),(225,1),(226,1)}
       180:{2,5,7}:{(136,1),(137,1),(150,1)}
       181:{2,3,4,5}:{(138,1),(152,1),(227,1),(228,1),(262,1),(413,1)}
       182:{3,4,6}:{(138,1),(139,1),(225,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(154,1),(229,1)}
       184:{1,4,5,6}:{(142,1),(161,1),(220,1),(231,1),(232,1),(326,1)}
       185:{1,2,3,5,7}:{(144,1),(151,1),(230,1),(233,1),(237,1),(325,1),(328,1)}
       186:{2,4,5,7}:{(141,1),(146,1),(152,1),(234,1),(235,1),(246,1),(327,1)}
       187:{1,3,4,6}:{(141,1),(142,1),(147,1),(163,1),(222,1),(231,1),(235,1)}
       188:{1,4,6,7}:{(142,1),(143,1),(154,1),(164,1),(223,1),(232,1),(419,1)}
       189:{1,2,4,7}:{(144,1),(145,1),(155,1),(237,1)}
       190:{1,3,5,7}:{(145,1),(146,1),(156,1),(234,1),(237,1),(238,1)}
       191:{2,3,6}:{(146,1),(147,1),(235,1),(238,1)}
       192:{1,3,6,7}:{(147,1),(148,1),(158,1),(165,1),(239,1),(317,1),(395,1),(425,1)}
       193:{1,3,5,6,7}:{(150,1),(167,1),(224,1),(240,1),(317,1),(384,1),(387,1)}
       194:{1,3,4,5,6}:{(149,1),(153,1),(168,1),(225,1),(231,1),(241,1),(242,1),(309,1),(318,1),(376,1),(414,1)}
       195:{1,4,5,7}:{(149,1),(150,1),(154,1),(169,1),(226,1),(240,1)}
       196:{1,2,4}:{(151,1),(243,1)}
       197:{1,4,5}:{(152,1),(156,1),(245,1)}
       198:{2,4,6}:{(152,1),(153,1),(157,1),(245,1),(246,1)}
       199:{1,3,4,7}:{(153,1),(154,1),(158,1),(172,1),(229,1),(246,1),(419,1),(420,1),(426,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(238,1),(245,1),(247,1),(248,1),(326,1),(334,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(239,1),(246,1),(248,1),(265,1),(327,1),(345,1),(385,1),(386,1)}
       203:{3,5,6,7}:{(159,1),(165,1),(250,1),(255,1)}
       204:{2,5,6,7}:{(160,1),(166,1),(252,1),(327,1)}
       205:{3,5,6}:{(161,1),(163,1),(255,1)}
       206:{2,4,5,7}:{(161,1),(164,1),(232,1),(255,1),(327,1)}
       207:{1,3,4,5,7}:{(162,1),(170,1),(234,1),(257,1),(258,1),(264,1),(328,1),(342,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(162,1),(163,1),(235,1),(254,1),(258,1),(382,1),(417,1)}
       209:{3,4,6,7}:{(163,1),(164,1),(165,1),(172,1),(255,1),(425,1),(426,1)}
       210:{2,3,6,7}:{(165,1),(166,1),(174,1),(260,1),(395,1)}
       211:{1,4,6,7}:{(166,1),(175,1),(252,1),(260,1)}
       212:{2,4,6,7}:{(167,1),(169,1),(240,1),(261,1)}
       213:{3,4,5,7}:{(168,1),(169,1),(172,1),(255,1),(261,1)}
       214:{2,3,4}:{(243,1),(262,1)}
       215:{2,4,5}:{(170,1),(262,1),(263,1)}
       216:{1,3,4,6}:{(170,1),(171,1),(173,1),(245,1),(263,1),(264,1),(334,1)}
       217:{2,3,4,7}:{(171,1),(172,1),(174,1),(246,1),(264,1),(386,1),(420,1)}
       218:{2,5,6}:{(173,1),(263,1),(265,1)}
       219:{1,3,5,7}:{(173,1),(174,1),(175,1),(260,1),(264,1),(265,1)}
       220:{2,4,5,6}:{(177,1),(184,1),(266,1),(267,1),(280,1)}
       221:{2,3,4,5,7}:{(176,1),(181,1),(186,1),(268,1),(269,1),(277,1),(303,1),(351,1),(371,1),(411,1)}
       222:{3,4,6}:{(176,1),(177,1),(266,1)}
       223:{2,4,6,7}:{(177,1),(178,1),(183,1),(188,1),(267,1),(270,1),(411,1)}
       224:{2,5,6,7}:{(180,1),(193,1),(271,1),(406,1)}
       225:{3,5,6}:{(179,1),(182,1),(273,1)}
       226:{2,4,5,7}:{(179,1),(180,1),(183,1),(195,1),(271,1),(273,1)}
       227:{1,3,4,5}:{(181,1),(197,1),(275,1),(276,1),(291,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(198,1),(272,1),(276,1),(277,1),(307,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(273,1)}
       230:{1,2,3,6}:{(185,1),(279,1),(286,1),(364,1)}
       231:{1,3,5,6}:{(184,1),(187,1),(205,1),(266,1),(280,1),(281,1)}
       232:{1,4,5,7}:{(184,1),(188,1),(206,1),(267,1),(281,1),(363,1)}
       233:{1,2,4,7}:{(185,1),(196,1),(279,1),(282,1)}
       234:{1,4,5,7}:{(186,1),(190,1),(197,1),(284,1),(293,1),(363,1)}
       235:{2,4,6}:{(186,1),(187,1),(191,1),(280,1),(284,1)}
       236:{1,3,4,6,7}:{(187,1),(188,1),(192,1),(199,1),(209,1),(270,1),(281,1),(285,1)}
       237:{1,2,5,7}:{(189,1),(190,1),(200,1),(286,1)}
       238:{1,3,6}:{(190,1),(191,1),(284,1),(286,1)}
       239:{2,3,6,7}:{(191,1),(192,1),(202,1),(285,1),(287,1),(306,1),(406,1)}
       240:{1,4,6,7}:{(193,1),(195,1),(212,1),(271,1)}
       241:{2,4,5,6}:{(194,1),(198,1),(272,1),(280,1),(289,1),(290,1),(356,1)}
       242:{1,3,4,5,7}:{(194,1),(195,1),(199,1),(213,1),(273,1),(281,1),(288,1),(290,1),(347,1),(357,1),(400,1),(423,1)}
       243:{1,3,4}:{(196,1),(214,1),(274,1),(291,1)}
       244:{1,2,4,5}:{(196,1),(197,1),(200,1),(215,1),(275,1),(291,1),(292,1)}
       245:{1,4,6}:{(197,1),(198,1),(201,1),(293,1)}
       246:{2,4,7}:{(198,1),(199,1),(202,1),(293,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(218,1),(286,1),(292,1),(294,1),(356,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(287,1),(293,1),(294,1),(363,1),(367,1)}
       249:{3,4,5,6}:{(205,1),(295,1),(296,1),(422,1)}
       250:{3,4,6,7}:{(203,1),(296,1),(297,1)}
       251:{2,3,5,6,7}:{(203,1),(204,1),(210,1),(297,1),(298,1),(302,1)}
       252:{1,5,6,7}:{(204,1),(211,1),(363,1)}
       253:{2,4,5,6,7}:{(206,1),(212,1),(278,1),(299,1),(360,1),(421,1)}
       254:{2,3,5,6}:{(205,1),(208,1),(280,1),(295,1),(301,1),(302,1)}
       255:{3,5,7}:{(205,1),(206,1),(209,1)}
       256:{2,3,4,7}:{(214,1),(282,1),(300,1),(303,1),(411,1)}
       257:{2,4,5,7}:{(207,1),(215,1),(303,1),(304,1),(308,1),(371,1),(373,1),(411,1)}
       258:{1,3,4,6}:{(207,1),(208,1),(284,1),(301,1),(304,1),(364,1),(407,1),(409,1)}
       259:{2,3,4,6,7}:{(208,1),(209,1),(210,1),(217,1),(285,1),(297,1),(302,1),(305,1),(405,1),(424,1)}
       260:{1,3,6,7}:{(210,1),(211,1),(219,1),(306,1)}
       261:{3,4,6,7}:{(212,1),(213,1),(299,1)}
       262:{2,3,5}:{(214,1),(215,1),(291,1),(307,1)}
       263:{2,4,6}:{(215,1),(216,1),(218,1),(307,1),(308,1)}
       264:{1,3,4,7}:{(216,1),(217,1),(219,1),(293,1),(308,1),(367,1)}
       265:{2,5,7}:{(218,1),(219,1),(306,1),(308,1)}
       266:{3,5,6}:{(220,1),(222,1),(312,1)}
       267:{2,4,5,7}:{(220,1),(223,1),(232,1),(312,1),(327,1)}
       268:{1,3,4,5,7}:{(221,1),(227,1),(234,1),(314,1),(315,1),(322,1),(328,1),(381,1),(388,1),(413,1),(419,1),(426,1)}
       269:{2,3,4,6}:{(221,1),(222,1),(235,1),(311,1),(315,1),(343,1),(396,1)}
       270:{3,4,6,7}:{(222,1),(223,1),(229,1),(312,1),(317,1),(395,1),(420,1)}
       271:{2,4,6,7}:{(224,1),(226,1),(240,1),(317,1)}
       272:{2,3,5,6}:{(225,1),(228,1),(241,1),(318,1),(319,1),(414,1)}
       273:{3,5,7}:{(225,1),(226,1),(229,1),(317,1)}
       274:{2,3,4}:{(243,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(245,1),(318,1),(321,1),(322,1),(334,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(246,1),(319,1),(322,1),(345,1),(426,1)}
       278:{1,4,5,6,7}:{(232,1),(240,1),(253,1),(310,1),(323,1),(387,1),(412,1)}
       279:{1,2,4,6}:{(230,1),(233,1),(324,1),(325,1)}
       280:{2,5,6}:{(231,1),(235,1),(326,1),(327,1)}
       281:{1,3,5,7}:{(231,1),(232,1),(236,1),(255,1),(312,1),(327,1)}
       282:{1,3,4,7}:{(233,1),(243,1),(256,1),(313,1),(324,1),(328,1),(419,1)}
       283:{1,2,4,5,7}:{(233,1),(234,1),(237,1),(244,1),(257,1),(314,1),(325,1),(328,1),(329,1),(335,1),(388,1),(390,1),(419,1)}
       284:{1,4,6}:{(234,1),(235,1),(238,1),(326,1)}
       285:{2,4,6,7}:{(235,1),(236,1),(239,1),(246,1),(327,1),(330,1)}
       286:{1,2,6}:{(237,1),(238,1)}
       287:{1,3,6,7}:{(238,1),(239,1),(248,1),(330,1),(331,1)}
       288:{1,3,4,6,7}:{(240,1),(242,1),(261,1),(317,1),(323,1),(332,1),(375,1),(384,1),(412,1),(425,1)}
       289:{1,4,5,6}:{(241,1),(245,1),(318,1),(326,1),(333,1)}
       290:{2,4,5,7}:{(241,1),(242,1),(246,1),(319,1),(327,1),(332,1),(333,1),(385,1)}
       291:{1,3,5}:{(243,1),(244,1),(262,1),(320,1),(334,1)}
       292:{1,2,4,6}:{(244,1),(245,1),(247,1),(263,1),(321,1),(334,1),(335,1)}
       293:{1,4,7}:{(245,1),(246,1),(248,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(265,1),(331,1),(335,1),(385,1)}
       295:{2,4,5,6}:{(249,1),(254,1),(336,1),(337,1),(417,1)}
       296:{3,4,5,7}:{(249,1),(250,1),(255,1),(337,1),(426,1)}
       297:{2,4,6,7}:{(250,1),(251,1),(337,1),(338,1)}
       298:{1,3,5,6,7}:{(251,1),(252,1),(260,1),(338,1),(339,1),(342,1),(395,1)}
       299:{3,5,6,7}:{(253,1),(255,1),(261,1),(425,1)}
       300:{2,3,4,6}:{(256,1),(324,1),(340,1),(343,1),(396,1)}
       301:{1,3,5,6}:{(254,1),(258,1),(326,1),(336,1),(341,1),(342,1),(393,1)}
       302:{2,3,5,7}:{(254,1),(255,1),(259,1),(327,1),(337,1),(342,1)}
       303:{2,3,5,7}:{(256,1),(257,1),(262,1),(328,1),(340,1),(343,1),(345,1)}
       304:{2,4,6}:{(257,1),(258,1),(341,1),(343,1)}
       305:{1,3,4,6,7}:{(258,1),(259,1),(260,1),(264,1),(330,1),(338,1),(342,1),(344,1),(391,1),(395,1),(419,1),(420,1)}
       306:{2,6,7}:{(260,1),(265,1)}
       307:{2,3,6}:{(262,1),(263,1),(334,1),(345,1)}
       308:{2,4,7}:{(263,1),(264,1),(265,1),(345,1)}
       309:{3,4,5,6}:{(266,1),(346,1),(347,1),(409,1)}
       310:{2,4,5,6,7}:{(267,1),(271,1),(278,1),(348,1),(360,1),(398,1)}
       311:{2,3,5,6}:{(266,1),(269,1),(280,1),(346,1),(350,1),(351,1)}
       312:{3,5,7}:{(266,1),(267,1),(270,1)}
       313:{2,3,4,7}:{(274,1),(282,1),(349,1),(352,1),(424,1)}
       314:{2,4,5,7}:{(268,1),(275,1),(352,1),(353,1),(359,1),(402,1),(404,1),(424,1)}
       315:{1,3,4,6}:{(268,1),(269,1),(284,1),(350,1),(353,1),(364,1),(407,1),(422,1)}
       316:{2,3,4,6,7}:{(269,1),(270,1),(277,1),(285,1),(351,1),(354,1),(355,1),(374,1),(398,1),(411,1)}
       317:{3,6,7}:{(271,1),(273,1)}
       318:{1,3,5,6}:{(272,1),(276,1),(289,1),(356,1),(357,1)}
       319:{2,3,5,7}:{(272,1),(273,1),(277,1),(290,1),(355,1),(357,1),(423,1)}
       320:{2,3,5}:{(274,1),(275,1),(291,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(356,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(293,1),(357,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(281,1),(288,1),(299,1),(348,1),(360,1)}
       324:{1,3,4,6}:{(279,1),(282,1),(300,1),(349,1),(361,1),(364,1),(407,1)}
       325:{1,2,5}:{(279,1),(361,1)}
       326:{1,5,6}:{(280,1),(284,1),(363,1)}
       327:{2,5,7}:{(280,1),(281,1),(285,1),(363,1)}
       328:{1,3,5,7}:{(282,1),(283,1),(291,1),(303,1),(352,1),(361,1),(364,1),(367,1)}
       329:{1,2,4,6}:{(283,1),(284,1),(286,1),(304,1),(353,1),(362,1),(364,1),(407,1)}
       330:{1,4,6,7}:{(284,1),(285,1),(287,1),(293,1),(363,1)}
       331:{1,2,6,7}:{(286,1),(287,1),(294,1),(306,1),(406,1)}
       332:{2,4,6,7}:{(288,1),(290,1),(355,1),(360,1),(366,1),(406,1)}
       333:{1,4,5,7}:{(289,1),(290,1),(293,1),(357,1),(363,1),(366,1)}
       334:{1,3,6}:{(291,1),(292,1),(307,1),(358,1),(367,1)}
       335:{1,2,4,7}:{(292,1),(293,1),(294,1),(308,1),(359,1),(367,1)}
       336:{1,4,5,6}:{(295,1),(301,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(295,1),(296,1),(297,1),(302,1),(369,1),(424,1)}
       338:{1,4,6,7}:{(297,1),(298,1),(369,1),(370,1)}
       339:{2,5,6,7}:{(298,1),(306,1),(370,1),(373,1)}
       340:{2,3,5}:{(300,1),(361,1),(371,1)}
       341:{2,5,6}:{(301,1),(304,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(305,1),(363,1),(369,1),(373,1),(410,1)}
       343:{2,3,6}:{(303,1),(304,1),(364,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(306,1),(308,1),(373,1),(374,1),(411,1)}
       345:{2,3,7}:{(307,1),(308,1),(367,1)}
       346:{2,4,5,6}:{(309,1),(311,1),(376,1),(377,1),(396,1)}
       347:{3,4,5,7}:{(309,1),(312,1),(375,1),(377,1),(420,1)}
       348:{3,5,6,7}:{(310,1),(312,1),(317,1),(375,1)}
       349:{2,3,4,6}:{(313,1),(324,1),(379,1),(382,1),(417,1)}
       350:{1,3,5,6}:{(311,1),(315,1),(326,1),(376,1),(380,1),(381,1),(414,1)}
       351:{2,3,5,7}:{(311,1),(312,1),(316,1),(327,1),(377,1),(381,1)}
       352:{2,3,5,7}:{(313,1),(314,1),(320,1),(328,1),(379,1),(382,1),(386,1)}
       353:{2,4,6}:{(314,1),(315,1),(380,1),(382,1)}
       354:{1,3,4,6,7}:{(315,1),(316,1),(322,1),(330,1),(381,1),(383,1),(384,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       355:{2,3,6,7}:{(317,1),(319,1),(332,1),(384,1),(425,1)}
       356:{2,5,6}:{(318,1),(321,1),(385,1)}
       357:{1,3,5,7}:{(318,1),(319,1),(322,1),(333,1),(384,1),(385,1)}
       358:{2,3,6}:{(320,1),(321,1),(334,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(385,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(327,1),(332,1),(387,1)}
       361:{1,3,5}:{(324,1),(325,1),(340,1),(379,1),(388,1)}
       362:{1,2,5,6}:{(325,1),(326,1),(329,1),(341,1),(380,1),(389,1),(390,1)}
       363:{1,5,7}:{(326,1),(327,1),(330,1)}
       364:{1,3,6}:{(328,1),(329,1),(343,1),(382,1)}
       365:{1,2,4,6,7}:{(329,1),(330,1),(331,1),(335,1),(344,1),(383,1),(390,1),(391,1),(419,1)}
       366:{1,4,6,7}:{(332,1),(333,1),(384,1),(387,1)}
       367:{1,3,7}:{(334,1),(335,1),(345,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(341,1),(393,1),(394,1),(396,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(338,1),(342,1),(394,1),(419,1)}
       370:{2,4,6,7}:{(338,1),(339,1),(394,1),(395,1)}
       371:{2,4,5}:{(340,1),(388,1),(392,1),(396,1)}
       372:{2,3,5,6}:{(340,1),(341,1),(343,1),(389,1),(393,1),(396,1),(397,1)}
       373:{2,5,7}:{(341,1),(342,1),(344,1)}
       374:{2,3,6,7}:{(343,1),(344,1),(345,1),(391,1),(395,1),(397,1)}
       375:{3,4,6,7}:{(347,1),(348,1),(398,1)}
       376:{1,4,5,6}:{(346,1),(350,1),(399,1),(400,1),(407,1)}
       377:{2,4,5,7}:{(346,1),(347,1),(351,1),(398,1),(400,1),(411,1)}
       378:{2,3,5,6,7}:{(348,1),(351,1),(355,1),(360,1),(398,1),(401,1)}
       379:{2,3,5}:{(349,1),(361,1),(402,1)}
       380:{2,5,6}:{(350,1),(353,1),(404,1)}
       381:{1,3,5,7}:{(350,1),(351,1),(354,1),(363,1),(400,1),(404,1),(423,1)}
       382:{2,3,6}:{(352,1),(353,1),(364,1)}
       383:{2,4,6,7}:{(353,1),(354,1),(359,1),(404,1),(405,1),(406,1),(424,1)}
       384:{1,3,6,7}:{(355,1),(357,1),(366,1),(406,1)}
       385:{2,5,7}:{(356,1),(357,1),(359,1),(406,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(363,1),(366,1)}
       388:{1,4,5}:{(361,1),(371,1),(402,1),(407,1)}
       389:{1,3,5,6}:{(361,1),(362,1),(364,1),(372,1),(403,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(362,1),(363,1),(365,1),(373,1),(404,1),(408,1)}
       391:{1,3,6,7}:{(364,1),(365,1),(367,1),(374,1),(405,1),(408,1)}
       392:{3,4,5}:{(371,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(370,1),(373,1),(410,1),(411,1)}
       395:{3,6,7}:{(370,1),(410,1)}
       396:{2,4,6}:{(371,1),(372,1),(407,1),(409,1),(411,1)}
       397:{2,3,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(411,1)}
       398:{2,4,6,7}:{(375,1),(377,1),(378,1),(412,1)}
       399:{2,4,5,6}:{(376,1),(380,1),(414,1),(415,1),(417,1)}
       400:{1,4,5,7}:{(376,1),(377,1),(381,1),(412,1),(415,1),(419,1)}
       401:{1,3,5,6,7}:{(378,1),(381,1),(384,1),(387,1),(412,1),(416,1),(425,1)}
       402:{2,4,5}:{(379,1),(388,1),(413,1),(417,1)}
       403:{2,3,5,6}:{(379,1),(380,1),(382,1),(389,1),(414,1),(417,1),(418,1)}
       404:{2,5,7}:{(380,1),(381,1),(383,1)}
       405:{2,3,6,7}:{(382,1),(383,1),(386,1),(391,1),(418,1),(425,1)}
       406:{2,6,7}:{(384,1),(385,1)}
       407:{1,4,6}:{(388,1),(389,1),(396,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(396,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(395,1),(420,1)}
       411:{2,4,7}:{(396,1),(397,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(400,1),(401,1),(421,1)}
       413:{3,4,5}:{(402,1),(422,1)}
       414:{3,5,6}:{(399,1),(422,1),(423,1)}
       415:{2,4,5,7}:{(399,1),(400,1),(404,1),(421,1),(423,1),(424,1)}
       416:{2,5,6,7}:{(401,1),(404,1),(406,1),(421,1)}
       417:{2,4,6}:{(402,1),(403,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(403,1),(404,1),(405,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(415,1),(416,1),(425,1)}
       422:{3,4,6}:{(413,1),(414,1),(417,1),(426,1)}
       423:{3,5,7}:{(414,1),(415,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2193 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(36,1),(37,1),(87,1),(160,1),(161,1),(231,1),(239,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(61,1),(124,1),(261,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(30,1),(60,1),(120,1),(135,1),(136,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(159,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(284,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(47,1),(87,1),(91,1),(93,1),(160,1),(223,1),(234,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(45,1),(101,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(89,1),(108,1),(109,1),(156,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(117,1),(202,1)}
        10:{1,3,4,5,6}:{(4,1),(22,1),(23,1),(29,1),(55,1),(66,1),(76,1),(113,1),(134,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(62,1),(69,1),(119,1),(126,1),(135,1),(136,1),(190,1),(197,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(187,1),(254,1)}
        13:{3,4,5,7}:{(4,1),(26,1),(28,1),(195,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(124,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(263,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(298,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(71,1),(73,1),(120,1),(127,1),(135,1),(138,1),(140,1),(262,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(122,1),(193,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(85,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(41,1),(49,1),(81,1),(96,1),(106,1),(146,1),(170,1),(215,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(97,1),(169,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(45,1),(92,1),(101,1),(232,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(37,1),(45,1),(46,1),(103,1),(155,1),(227,1),(231,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(15,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(47,1),(49,1),(160,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(101,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(283,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(156,1),(163,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(108,1),(158,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(138,1),(209,1)}
        36:{2,3,4,5}:{(59,1),(60,1),(141,1),(189,1),(206,1),(247,1)}
        37:{2,3,5,7}:{(25,1),(61,1),(62,1),(126,1),(189,1),(256,1),(296,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(57,1),(63,1),(73,1),(117,1),(127,1),(138,1),(187,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(65,1),(66,1),(76,1),(181,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(67,1),(131,1),(205,1),(263,1)}
        42:{1,4,5,6}:{(23,1),(66,1),(67,1),(204,1),(298,1)}
        43:{1,2,5,6}:{(24,1),(31,1),(69,1),(70,1),(126,1),(198,1),(298,1)}
        44:{1,2,4,6,7}:{(24,1),(32,1),(69,1),(71,1),(125,1),(135,1),(190,1),(199,1),(262,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(61,1),(261,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(62,1),(72,1),(135,1),(192,1),(195,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(30,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(135,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(70,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(71,1),(77,1),(138,1),(193,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(299,1)}
        56:{2,3,4,5,7}:{(36,1),(83,1),(84,1),(87,1),(144,1),(176,1),(217,1),(239,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(39,1),(85,1),(86,1),(93,1),(144,1)}
        59:{2,3,4,6}:{(36,1),(40,1),(87,1),(88,1),(107,1),(169,1),(216,1),(225,1)}
        60:{1,3,4,5}:{(36,1),(88,1),(89,1),(155,1),(238,1)}
        61:{2,3,6}:{(37,1),(45,1),(92,1),(306,1)}
        62:{2,4,7}:{(37,1),(46,1),(92,1),(226,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(41,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(87,1),(93,1),(96,1),(106,1),(215,1)}
        66:{1,3,5,6}:{(40,1),(42,1),(88,1),(96,1),(97,1)}
        67:{1,4,5,7}:{(41,1),(42,1),(94,1),(96,1),(237,1),(283,1)}
        68:{1,2,4,5,6}:{(42,1),(43,1),(50,1),(97,1),(98,1),(99,1),(101,1),(147,1),(154,1),(161,1),(169,1),(212,1),(232,1),(236,1),(238,1),(269,1),(280,1),(284,1),(285,1),(301,1),(306,1),(313,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(100,1),(162,1),(283,1)}
        70:{1,3,5,6}:{(43,1),(45,1),(52,1),(90,1),(100,1),(101,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(45,1),(53,1),(91,1),(100,1),(227,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(92,1),(101,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(51,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(104,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(100,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(101,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(102,1),(108,1),(110,1),(174,1),(177,1),(229,1),(234,1),(282,1)}
        80:{2,3,5}:{(54,1),(103,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(60,1),(115,1),(116,1),(120,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(64,1),(117,1),(118,1),(127,1),(178,1),(187,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(120,1),(140,1),(205,1),(246,1),(256,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(66,1),(120,1),(121,1),(191,1),(204,1)}
        89:{2,4,5}:{(60,1),(121,1),(122,1)}
        90:{2,3,5,6}:{(61,1),(70,1),(123,1),(124,1),(126,1),(196,1),(198,1),(261,1)}
        91:{2,3,6,7}:{(61,1),(71,1),(123,1),(125,1),(256,1),(261,1)}
        92:{2,4,6}:{(61,1),(62,1),(72,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(187,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(67,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(69,1),(74,1),(118,1),(128,1),(129,1),(198,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(120,1),(127,1),(131,1)}
        97:{2,5,6}:{(66,1),(121,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(75,1),(128,1),(131,1),(133,1),(135,1),(180,1),(190,1),(197,1),(202,1),(205,1),(242,1),(263,1),(265,1),(288,1),(296,1),(309,1)}
        99:{1,3,5,6}:{(68,1),(76,1),(132,1),(133,1),(134,1),(181,1),(191,1),(196,1),(259,1),(261,1),(297,1),(308,1),(314,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(123,1),(135,1)}
       101:{1,4,6}:{(70,1),(78,1),(124,1),(135,1),(136,1)}
       102:{1,3,4,6,7}:{(71,1),(72,1),(79,1),(125,1),(135,1),(137,1),(195,1),(208,1),(258,1),(261,1),(262,1),(297,1)}
       103:{1,3,5}:{(72,1),(80,1),(126,1),(136,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(77,1),(129,1),(138,1),(139,1),(143,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(76,1),(138,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(135,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(136,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(137,1),(142,1),(143,1),(209,1),(263,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(241,1),(284,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(149,1),(174,1),(234,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(89,1),(150,1),(151,1),(156,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(163,1),(213,1)}
       119:{1,2,4,5}:{(89,1),(154,1),(155,1),(226,1),(238,1),(280,1)}
       120:{1,3,4,7}:{(87,1),(88,1),(96,1),(156,1),(227,1),(237,1)}
       121:{2,4,6}:{(88,1),(89,1),(97,1),(156,1),(157,1)}
       122:{2,3,5}:{(89,1),(155,1),(157,1),(158,1)}
       123:{2,3,5,7}:{(90,1),(91,1),(100,1),(160,1),(162,1),(231,1)}
       124:{2,4,6}:{(90,1),(101,1),(159,1),(160,1),(161,1)}
       125:{2,4,6,7}:{(91,1),(92,1),(102,1),(160,1),(162,1),(232,1),(279,1),(306,1)}
       126:{2,5}:{(92,1),(103,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(104,1),(152,1),(163,1),(164,1),(165,1),(232,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(100,1),(105,1),(153,1),(164,1),(165,1),(173,1),(233,1),(235,1),(268,1),(283,1),(305,1)}
       130:{1,2,5,6}:{(97,1),(154,1),(166,1),(167,1),(280,1),(306,1)}
       131:{2,5,7}:{(96,1),(97,1),(156,1),(163,1)}
       132:{2,3,5,6}:{(97,1),(99,1),(157,1),(167,1),(168,1),(169,1),(225,1),(230,1),(280,1),(282,1),(284,1),(306,1)}
       133:{1,3,5,7}:{(98,1),(99,1),(106,1),(164,1),(168,1),(170,1),(215,1),(227,1),(231,1),(312,1)}
       134:{1,3,4,6}:{(99,1),(101,1),(107,1),(159,1),(169,1),(170,1),(171,1),(216,1),(269,1),(299,1)}
       135:{1,4,7}:{(100,1),(101,1),(108,1),(160,1)}
       136:{1,4,5}:{(101,1),(103,1),(109,1),(161,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(110,1),(162,1),(172,1),(173,1),(231,1),(283,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(108,1),(165,1),(174,1),(175,1),(177,1),(300,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(172,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(173,1),(177,1),(241,1),(282,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(298,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(119,1),(182,1),(183,1),(190,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(296,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(120,1),(127,1),(178,1),(184,1),(187,1),(246,1),(250,1),(262,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(122,1),(183,1),(185,1),(186,1),(193,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(123,1),(129,1),(187,1),(188,1),(198,1),(200,1),(244,1),(254,1),(261,1),(263,1),(295,1)}
       154:{1,2,4,6}:{(119,1),(121,1),(130,1),(190,1),(191,1),(204,1),(257,1)}
       155:{1,3,5}:{(119,1),(122,1),(189,1),(191,1),(192,1)}
       156:{2,4,7}:{(120,1),(121,1),(131,1),(193,1)}
       157:{2,3,6}:{(121,1),(122,1),(191,1),(193,1)}
       158:{2,3,4}:{(122,1),(192,1)}
       159:{3,4,6}:{(124,1),(195,1),(196,1),(261,1)}
       160:{2,4,7}:{(123,1),(124,1),(135,1),(195,1)}
       161:{2,4,5}:{(124,1),(126,1),(136,1),(196,1)}
       162:{2,5,7}:{(125,1),(126,1),(137,1),(198,1)}
       163:{2,6,7}:{(127,1),(131,1)}
       164:{1,3,6,7}:{(128,1),(133,1),(138,1),(187,1),(200,1),(261,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(135,1),(139,1),(188,1),(202,1),(208,1),(288,1),(310,1)}
       166:{1,2,5,7}:{(130,1),(131,1),(190,1),(199,1),(203,1),(296,1)}
       167:{1,3,5,6}:{(130,1),(132,1),(191,1),(203,1),(204,1),(259,1),(297,1),(298,1)}
       168:{2,3,5,7}:{(131,1),(132,1),(133,1),(193,1),(200,1),(203,1),(205,1),(256,1),(263,1),(296,1)}
       169:{2,4,6}:{(132,1),(134,1),(204,1),(205,1),(206,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(135,1),(140,1),(195,1),(205,1),(246,1),(288,1),(307,1)}
       171:{1,3,4,5}:{(134,1),(136,1),(141,1),(196,1),(206,1),(247,1),(259,1),(289,1),(308,1)}
       172:{1,4,5,7}:{(135,1),(136,1),(137,1),(142,1),(197,1),(208,1)}
       173:{1,3,5,6}:{(137,1),(143,1),(198,1),(208,1),(261,1),(297,1),(298,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(209,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(283,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(155,1),(217,1),(219,1),(220,1),(227,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(156,1),(163,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(158,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(160,1),(165,1),(223,1),(224,1),(232,1),(270,1),(303,1)}
       189:{2,3,5}:{(155,1),(225,1),(226,1),(280,1)}
       190:{1,2,4,7}:{(154,1),(156,1),(166,1),(227,1),(237,1),(279,1)}
       191:{1,3,6}:{(154,1),(155,1),(157,1),(225,1),(227,1)}
       192:{1,3,4}:{(155,1),(158,1),(226,1)}
       193:{2,3,7}:{(156,1),(157,1),(227,1)}
       194:{2,3,4,6}:{(157,1),(158,1),(159,1),(169,1),(228,1),(229,1),(230,1),(282,1),(299,1)}
       195:{3,4,7}:{(159,1),(160,1),(231,1)}
       196:{3,5}:{(159,1),(161,1)}
       197:{2,4,5,7}:{(160,1),(161,1),(162,1),(172,1),(231,1),(232,1)}
       198:{2,5,6}:{(162,1),(173,1),(232,1),(306,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(168,1),(233,1),(234,1),(282,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(170,1),(174,1),(223,1),(234,1),(235,1),(240,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(224,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(168,1),(227,1),(233,1),(237,1),(283,1)}
       204:{1,4,6}:{(167,1),(169,1),(237,1),(238,1)}
       205:{2,4,7}:{(168,1),(169,1),(170,1),(237,1)}
       206:{2,4,5}:{(169,1),(171,1),(230,1),(238,1),(280,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(172,1),(176,1),(231,1),(235,1),(239,1),(240,1),(272,1),(281,1),(302,1),(312,1)}
       208:{1,4,6}:{(172,1),(173,1),(177,1),(232,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(298,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(189,1),(248,1),(249,1),(256,1),(293,1),(296,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(190,1),(199,1),(242,1),(250,1),(262,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(192,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(193,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(195,1),(246,1),(254,1),(261,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(202,1),(254,1),(255,1),(263,1)}
       225:{2,3,6}:{(189,1),(191,1),(256,1),(257,1)}
       226:{2,4}:{(189,1),(192,1)}
       227:{1,3,7}:{(190,1),(191,1),(193,1),(256,1)}
       228:{1,3,4,6}:{(191,1),(192,1),(194,1),(204,1),(257,1),(258,1),(259,1),(297,1)}
       229:{2,3,4,7}:{(193,1),(194,1),(195,1),(205,1),(258,1),(260,1),(307,1)}
       230:{2,3,5}:{(194,1),(196,1),(206,1),(259,1),(308,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(261,1)}
       232:{2,4,6}:{(197,1),(198,1),(208,1),(261,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(205,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(254,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(208,1),(210,1),(255,1),(264,1),(298,1),(310,1)}
       237:{1,4,7}:{(203,1),(204,1),(205,1)}
       238:{1,4,5}:{(204,1),(206,1),(259,1)}
       239:{2,4,5,7}:{(205,1),(206,1),(207,1),(260,1),(263,1),(265,1),(266,1),(296,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(261,1),(264,1),(266,1),(291,1),(297,1),(310,1),(314,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(283,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(226,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(227,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(229,1),(234,1),(270,1),(275,1),(277,1),(282,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(232,1),(236,1),(278,1),(284,1),(303,1)}
       256:{2,3,7}:{(225,1),(227,1),(279,1)}
       257:{2,4,6}:{(225,1),(226,1),(228,1),(279,1),(280,1),(306,1)}
       258:{1,3,4,7}:{(227,1),(228,1),(229,1),(237,1),(279,1),(281,1)}
       259:{1,3,5}:{(228,1),(230,1),(238,1),(280,1)}
       260:{2,3,5,7}:{(229,1),(230,1),(231,1),(239,1),(281,1),(282,1),(312,1)}
       261:{3,6}:{(231,1),(232,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(240,1),(241,1),(278,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(239,1),(281,1),(283,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(282,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(256,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(258,1),(262,1),(288,1),(292,1),(294,1),(297,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(263,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(261,1),(291,1)}
       279:{2,4,7}:{(256,1),(257,1),(258,1),(296,1)}
       280:{2,5}:{(257,1),(259,1)}
       281:{1,3,5,7}:{(258,1),(259,1),(260,1),(265,1),(296,1),(297,1)}
       282:{2,3,6}:{(260,1),(261,1),(266,1),(297,1),(314,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(279,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(282,1),(284,1),(303,1),(305,1)}
       296:{2,5,7}:{(279,1),(280,1),(281,1),(306,1)}
       297:{1,3,6}:{(281,1),(282,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(297,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2194 :   0:{2,3,4,5}:{(2,1),(3,1),(43,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(68,1),(75,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(65,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(49,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(159,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(49,1),(93,1),(100,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(133,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(72,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(67,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(64,1),(68,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(32,1),(33,1),(110,1),(148,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(33,1),(147,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(26,1),(34,1),(36,1),(40,1),(79,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(32,1),(37,1),(38,1),(76,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(33,1),(35,1),(38,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(40,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(40,1),(41,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(38,1),(41,1),(72,1),(117,1),(123,1)}
        24:{2,3,4}:{(14,1),(43,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(44,1),(45,1)}
        26:{1,3,4,6}:{(13,1),(14,1),(18,1),(42,1),(44,1),(46,1),(49,1),(91,1),(93,1)}
        27:{1,2,5}:{(13,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(43,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(47,1),(49,1),(50,1),(88,1),(93,1)}
        30:{4,5,6,7}:{(51,1),(172,1)}
        31:{3,4,6,7}:{(17,1),(51,1),(52,1)}
        32:{1,4,5,6}:{(16,1),(19,1),(53,1),(54,1),(93,1),(135,1)}
        33:{2,4,5,7}:{(16,1),(17,1),(20,1),(52,1),(54,1),(133,1),(162,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(55,1),(61,1),(105,1)}
        35:{2,3,6,7}:{(20,1),(52,1),(56,1)}
        36:{2,3,5}:{(18,1),(46,1),(57,1)}
        37:{2,5,6}:{(19,1),(22,1),(59,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(23,1),(54,1),(56,1),(59,1),(101,1)}
        39:{2,3,4,5}:{(21,1),(48,1),(57,1),(60,1)}
        40:{2,3,6}:{(21,1),(22,1),(49,1),(61,1)}
        41:{2,4,7}:{(22,1),(23,1),(59,1),(61,1)}
        42:{2,3,4,6}:{(24,1),(26,1),(62,1),(63,1),(65,1),(109,1),(110,1)}
        43:{2,3,5}:{(24,1),(28,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(26,1),(34,1),(62,1),(66,1),(72,1),(117,1)}
        45:{1,2,5,7}:{(25,1),(27,1),(66,1),(67,1)}
        46:{1,3,5}:{(26,1),(27,1),(36,1),(63,1),(68,1)}
        47:{1,2,5,6}:{(27,1),(29,1),(37,1),(67,1),(69,1),(70,1),(112,1)}
        48:{1,3,4,5}:{(28,1),(39,1),(64,1),(68,1),(71,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(40,1),(65,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(41,1),(70,1),(72,1),(113,1),(117,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(73,1),(168,1)}
        52:{2,4,6,7}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        53:{2,4,5,6}:{(32,1),(37,1),(76,1),(77,1),(81,1),(124,1),(154,1)}
        54:{1,4,5,7}:{(32,1),(33,1),(38,1),(74,1),(77,1),(117,1),(152,1)}
        55:{2,3,5,7}:{(34,1),(36,1),(66,1),(78,1),(79,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(74,1),(80,1),(121,1)}
        57:{2,4,5}:{(36,1),(68,1),(75,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(76,1),(79,1),(81,1),(82,1),(124,1)}
        59:{2,5,7}:{(37,1),(38,1),(41,1),(80,1)}
        60:{2,3,4,6}:{(39,1),(40,1),(71,1),(81,1),(83,1),(84,1)}
        61:{2,3,7}:{(40,1),(41,1),(72,1)}
        62:{2,3,4,7}:{(42,1),(44,1),(85,1),(89,1),(133,1)}
        63:{2,3,5}:{(42,1),(46,1),(86,1)}
        64:{2,4,5}:{(43,1),(48,1),(88,1)}
        65:{2,3,6}:{(43,1),(49,1),(88,1),(89,1)}
        66:{1,3,5,7}:{(44,1),(45,1),(46,1),(55,1),(85,1),(90,1),(91,1)}
        67:{1,2,6}:{(45,1),(91,1)}
        68:{1,4,5}:{(46,1),(57,1),(86,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(49,1),(58,1),(87,1),(91,1),(93,1),(94,1),(135,1)}
        70:{1,2,5,7}:{(47,1),(50,1),(59,1),(92,1),(94,1),(134,1)}
        71:{1,3,4,6}:{(48,1),(49,1),(60,1),(88,1),(93,1),(95,1),(96,1),(129,1)}
        72:{1,3,7}:{(49,1),(50,1),(61,1),(89,1)}
        73:{2,5,6,7}:{(51,1),(52,1),(97,1),(162,1)}
        74:{1,4,6,7}:{(52,1),(54,1),(56,1),(97,1),(99,1)}
        75:{3,4,5}:{(57,1),(100,1)}
        76:{3,5,6}:{(53,1),(100,1),(101,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(59,1),(99,1),(101,1),(105,1),(143,1),(165,1)}
        78:{2,4,5,7}:{(55,1),(57,1),(90,1),(98,1),(102,1),(105,1),(143,1)}
        79:{2,3,6}:{(55,1),(91,1),(102,1)}
        80:{2,6,7}:{(56,1),(59,1)}
        81:{2,4,6}:{(57,1),(58,1),(93,1),(100,1),(105,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(61,1),(94,1),(101,1),(103,1),(105,1),(143,1)}
        83:{2,3,5,6}:{(60,1),(95,1),(104,1),(106,1)}
        84:{2,3,4,7}:{(60,1),(61,1),(96,1),(105,1),(106,1)}
        85:{2,3,5,7}:{(62,1),(63,1),(66,1),(108,1),(109,1)}
        86:{2,4,5}:{(63,1),(68,1),(107,1),(110,1)}
        87:{2,3,5,6}:{(63,1),(65,1),(69,1),(109,1),(110,1),(111,1),(112,1),(146,1),(148,1)}
        88:{2,4,6}:{(64,1),(65,1),(71,1),(112,1),(113,1)}
        89:{2,3,7}:{(65,1),(72,1),(113,1)}
        90:{1,4,5,7}:{(66,1),(68,1),(78,1),(108,1),(114,1),(117,1),(152,1)}
        91:{1,3,6}:{(66,1),(67,1),(79,1),(109,1),(114,1)}
        92:{1,2,6,7}:{(67,1),(70,1),(80,1),(115,1),(151,1)}
        93:{1,4,6}:{(68,1),(69,1),(81,1),(110,1),(117,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(72,1),(82,1),(111,1),(115,1),(117,1),(152,1)}
        95:{1,3,5,6}:{(71,1),(83,1),(112,1),(116,1),(118,1),(146,1)}
        96:{1,3,4,7}:{(71,1),(72,1),(84,1),(113,1),(117,1),(118,1),(147,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(119,1),(152,1)}
        98:{3,4,5,7}:{(75,1),(78,1),(120,1),(123,1),(156,1)}
        99:{2,4,6,7}:{(74,1),(77,1),(80,1),(119,1),(121,1),(155,1)}
       100:{3,4,6}:{(75,1),(76,1),(81,1),(123,1)}
       101:{3,5,7}:{(76,1),(77,1),(121,1),(123,1)}
       102:{2,4,6}:{(78,1),(79,1),(114,1),(120,1),(124,1)}
       103:{2,3,6,7}:{(79,1),(80,1),(82,1),(115,1),(121,1),(125,1)}
       104:{2,4,5,6}:{(81,1),(83,1),(116,1),(122,1),(124,1),(126,1)}
       105:{2,4,7}:{(81,1),(82,1),(117,1),(123,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(126,1),(127,1)}
       107:{3,4,5}:{(86,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(130,1),(133,1),(162,1)}
       109:{2,3,6}:{(85,1),(91,1),(130,1)}
       110:{2,4,6}:{(86,1),(87,1),(93,1),(129,1),(133,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(94,1),(131,1),(133,1),(134,1),(161,1),(162,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,6}:{(90,1),(91,1),(102,1),(130,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(92,1),(94,1),(103,1),(131,1),(136,1)}
       116:{1,4,5,6}:{(93,1),(95,1),(104,1),(132,1),(135,1),(137,1)}
       117:{1,4,7}:{(93,1),(94,1),(105,1),(133,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(137,1),(138,1),(161,1)}
       119:{2,5,6,7}:{(97,1),(99,1),(139,1),(143,1)}
       120:{3,4,6}:{(98,1),(102,1),(140,1)}
       121:{3,6,7}:{(99,1),(101,1)}
       122:{3,4,5,6}:{(100,1),(104,1),(140,1),(142,1)}
       123:{3,4,7}:{(100,1),(101,1),(105,1)}
       124:{2,5,6}:{(102,1),(135,1),(140,1),(143,1)}
       125:{2,4,6,7}:{(102,1),(103,1),(105,1),(136,1),(141,1),(143,1)}
       126:{2,4,5,7}:{(104,1),(105,1),(106,1),(137,1),(142,1),(143,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(144,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(145,1),(147,1),(168,1)}
       129:{3,4,6}:{(107,1),(110,1),(146,1),(147,1)}
       130:{2,4,6}:{(108,1),(109,1),(114,1),(145,1),(148,1)}
       131:{2,3,6,7}:{(109,1),(111,1),(115,1),(149,1),(151,1),(169,1)}
       132:{2,4,5,6}:{(110,1),(112,1),(116,1),(146,1),(148,1),(150,1),(167,1)}
       133:{2,4,7}:{(110,1),(111,1),(117,1),(147,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,5,6}:{(114,1),(124,1),(148,1),(152,1)}
       136:{1,4,6,7}:{(114,1),(115,1),(117,1),(125,1),(149,1),(152,1)}
       137:{1,4,5,7}:{(116,1),(117,1),(118,1),(126,1),(150,1),(152,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(153,1),(169,1)}
       139:{3,5,6,7}:{(119,1),(121,1),(155,1),(156,1)}
       140:{3,5,6}:{(120,1),(124,1),(154,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(123,1),(125,1),(155,1),(156,1)}
       142:{3,4,5,7}:{(122,1),(123,1),(126,1),(156,1),(157,1)}
       143:{2,5,7}:{(124,1),(125,1),(152,1),(156,1)}
       144:{2,4,6,7}:{(126,1),(127,1),(153,1),(157,1),(158,1)}
       145:{3,4,6}:{(128,1),(130,1),(159,1)}
       146:{3,5,6}:{(129,1),(132,1),(161,1)}
       147:{3,4,7}:{(129,1),(133,1),(161,1)}
       148:{2,5,6}:{(130,1),(135,1),(159,1),(162,1)}
       149:{2,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(160,1),(162,1)}
       150:{2,4,5,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(162,1),(163,1),(172,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,5,7}:{(135,1),(136,1),(143,1),(162,1)}
       153:{1,4,6,7}:{(137,1),(138,1),(144,1),(163,1),(164,1)}
       154:{4,5,6}:{(140,1),(165,1)}
       155:{4,6,7}:{(139,1),(165,1)}
       156:{3,5,7}:{(140,1),(141,1),(143,1),(165,1)}
       157:{3,4,6,7}:{(142,1),(144,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(166,1)}
       159:{3,5,6}:{(145,1),(148,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(145,1),(147,1),(149,1),(168,1),(169,1),(174,1)}
       161:{3,5,7}:{(146,1),(147,1),(150,1),(169,1)}
       162:{2,5,7}:{(148,1),(149,1),(152,1),(168,1)}
       163:{2,4,6,7}:{(150,1),(151,1),(153,1),(169,1),(170,1),(174,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{4,5,7}:{(154,1),(155,1),(156,1)}
       166:{3,5,6,7}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,5,6}:{(159,1),(172,1)}
       168:{3,5,7}:{(159,1),(160,1),(162,1),(172,1)}
       169:{3,6,7}:{(161,1),(163,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2195 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(163,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(118,1),(155,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(153,1),(170,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(33,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(118,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(99,1),(143,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(140,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(62,1),(68,1),(99,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(140,1)}
        17:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        18:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(77,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(80,1),(81,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(80,1),(126,1),(129,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(123,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(170,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(33,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(86,1),(92,1),(123,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(52,1),(54,1)}
        33:{1,2,5}:{(18,1),(53,1)}
        34:{2,3,4,7}:{(19,1),(52,1),(57,1),(71,1),(105,1)}
        35:{2,3,5}:{(19,1),(53,1),(56,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(62,1)}
        40:{3,5,6}:{(22,1),(62,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(105,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(55,1),(68,1),(69,1),(99,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(31,1),(32,1),(34,1),(72,1),(75,1),(92,1),(123,1)}
        53:{1,3,5}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        54:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        55:{1,2,5,6}:{(33,1),(36,1),(47,1),(76,1),(77,1),(78,1),(132,1)}
        56:{2,4,5}:{(35,1),(39,1),(74,1),(80,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(75,1),(79,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(40,1),(49,1),(76,1),(80,1),(81,1),(82,1),(126,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,5,7}:{(39,1),(79,1),(85,1),(86,1),(130,1)}
        62:{3,4,6}:{(39,1),(40,1),(80,1),(86,1)}
        63:{3,5,7}:{(40,1),(41,1),(86,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(123,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(80,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(96,1),(112,1),(140,1)}
        73:{2,3,5}:{(51,1),(53,1),(95,1)}
        74:{1,4,5}:{(53,1),(56,1),(95,1),(99,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(57,1),(96,1),(98,1),(100,1)}
        76:{1,3,5,6}:{(53,1),(55,1),(58,1),(68,1),(97,1),(99,1),(100,1),(101,1),(143,1)}
        77:{1,2,6}:{(54,1),(100,1)}
        78:{1,2,5,7}:{(55,1),(59,1),(69,1),(101,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(57,1),(61,1),(98,1),(104,1),(105,1),(146,1)}
        80:{2,4,6}:{(56,1),(58,1),(62,1),(99,1),(105,1)}
        81:{2,3,6}:{(57,1),(100,1),(104,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(63,1),(71,1),(101,1),(105,1),(106,1),(146,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(62,1),(103,1),(107,1),(108,1)}
        85:{3,4,6}:{(61,1),(104,1),(108,1)}
        86:{3,4,7}:{(62,1),(63,1),(105,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(99,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(105,1),(114,1),(115,1)}
        95:{2,4,5}:{(73,1),(74,1),(116,1),(118,1)}
        96:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(76,1),(90,1),(118,1),(119,1),(120,1),(132,1),(151,1),(155,1)}
        98:{1,4,5,7}:{(74,1),(75,1),(79,1),(117,1),(122,1),(123,1),(158,1)}
        99:{1,4,6}:{(74,1),(76,1),(80,1),(118,1),(123,1)}
       100:{1,3,6}:{(75,1),(77,1),(81,1),(119,1),(122,1)}
       101:{1,3,5,7}:{(76,1),(78,1),(82,1),(92,1),(120,1),(123,1),(124,1),(158,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(80,1),(84,1),(93,1),(121,1),(125,1),(126,1)}
       104:{2,4,6}:{(79,1),(81,1),(85,1),(122,1),(126,1)}
       105:{2,4,7}:{(80,1),(82,1),(86,1),(123,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(127,1)}
       107:{3,4,5,7}:{(84,1),(86,1),(125,1),(128,1),(130,1)}
       108:{3,5,6}:{(85,1),(126,1),(129,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(87,1),(127,1),(130,1),(131,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(123,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(139,1),(140,1),(166,1)}
       118:{2,4,6}:{(95,1),(97,1),(99,1),(137,1),(140,1)}
       119:{2,3,6}:{(96,1),(100,1),(139,1)}
       120:{2,3,5,7}:{(97,1),(101,1),(112,1),(140,1),(141,1),(149,1),(162,1),(166,1)}
       121:{1,4,5,6}:{(99,1),(103,1),(113,1),(138,1),(142,1),(143,1)}
       122:{1,4,6}:{(98,1),(100,1),(104,1),(139,1),(143,1)}
       123:{1,4,7}:{(99,1),(101,1),(105,1),(140,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(144,1)}
       125:{2,4,5,7}:{(103,1),(105,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,5,6}:{(104,1),(108,1),(143,1),(146,1)}
       127:{2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{4,5,6}:{(108,1),(148,1)}
       130:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(152,1),(153,1),(170,1)}
       137:{3,4,6}:{(116,1),(118,1),(151,1),(153,1)}
       138:{2,4,5,6}:{(118,1),(121,1),(132,1),(151,1),(154,1),(155,1),(169,1)}
       139:{2,4,6}:{(117,1),(119,1),(122,1),(152,1),(155,1)}
       140:{2,4,7}:{(118,1),(120,1),(123,1),(153,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(156,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(123,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,5,6}:{(122,1),(126,1),(155,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(130,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(130,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(137,1),(138,1),(162,1)}
       152:{3,4,6}:{(136,1),(139,1),(163,1)}
       153:{3,4,7}:{(137,1),(140,1),(162,1)}
       154:{2,4,5,7}:{(138,1),(140,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,5,6}:{(139,1),(143,1),(163,1),(166,1)}
       156:{2,4,6,7}:{(139,1),(140,1),(141,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(153,1),(154,1),(168,1)}
       163:{3,5,6}:{(152,1),(155,1),(169,1),(170,1)}
       164:{3,4,6,7}:{(152,1),(153,1),(156,1),(168,1),(170,1),(174,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(170,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{4,5,6}:{(163,1),(173,1)}
       170:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(170,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2196 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2197 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2198 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(40,1),(41,1),(92,1),(160,1),(165,1),(232,1),(239,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(64,1),(128,1),(262,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(29,1),(66,1),(124,1),(134,1),(139,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(38,1),(87,1),(92,1),(93,1),(160,1),(219,1),(226,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(164,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(280,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(47,1),(104,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(97,1),(107,1),(110,1),(159,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(115,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(183,1),(250,1)}
        11:{1,3,4,5,6}:{(5,1),(24,1),(25,1),(31,1),(55,1),(71,1),(78,1),(113,1),(138,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(65,1),(69,1),(129,1),(130,1),(134,1),(139,1),(195,1),(198,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(5,1),(22,1),(28,1),(197,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(257,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(61,1),(70,1),(119,1),(122,1),(124,1),(134,1),(140,1),(256,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(128,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(296,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(131,1),(196,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(83,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(14,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(42,1),(49,1),(81,1),(98,1),(106,1),(145,1),(170,1),(213,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(44,1),(45,1),(102,1),(174,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(46,1),(47,1),(96,1),(104,1),(233,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(40,1),(47,1),(48,1),(105,1),(166,1),(230,1),(232,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(38,1),(49,1),(160,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(279,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(159,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(104,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(107,1),(167,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(59,1),(61,1),(115,1),(119,1),(122,1),(183,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(29,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,5,7}:{(27,1),(64,1),(65,1),(129,1),(203,1),(259,1),(297,1)}
        41:{2,3,4,5}:{(63,1),(66,1),(143,1),(203,1),(210,1),(247,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(68,1),(132,1),(206,1),(257,1)}
        43:{1,2,4,6,7}:{(26,1),(30,1),(69,1),(70,1),(126,1),(134,1),(189,1),(195,1),(256,1)}
        44:{2,3,5,6}:{(25,1),(63,1),(67,1),(71,1),(78,1),(181,1)}
        45:{1,4,5,6}:{(25,1),(68,1),(71,1),(209,1),(296,1)}
        46:{1,2,5,6}:{(26,1),(32,1),(69,1),(73,1),(129,1),(199,1),(296,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(64,1),(262,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(65,1),(74,1),(134,1),(197,1),(204,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(75,1),(134,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(70,1),(76,1),(122,1),(196,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(73,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(37,1),(83,1),(84,1),(87,1),(144,1)}
        58:{2,3,4,5,7}:{(41,1),(85,1),(86,1),(92,1),(144,1),(176,1),(223,1),(239,1),(299,1),(303,1),(312,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(42,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(50,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(41,1),(44,1),(92,1),(94,1),(109,1),(174,1),(216,1),(234,1)}
        64:{2,3,6}:{(40,1),(47,1),(96,1),(306,1)}
        65:{2,4,7}:{(40,1),(48,1),(96,1),(237,1)}
        66:{1,3,4,5}:{(41,1),(94,1),(97,1),(166,1),(241,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(87,1),(92,1),(98,1),(106,1),(213,1)}
        68:{1,4,5,7}:{(42,1),(45,1),(88,1),(98,1),(238,1),(279,1)}
        69:{1,2,5,7}:{(43,1),(46,1),(50,1),(100,1),(161,1),(279,1)}
        70:{1,3,6,7}:{(43,1),(47,1),(51,1),(93,1),(100,1),(230,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(94,1),(98,1),(102,1)}
        72:{1,2,4,5,6}:{(45,1),(46,1),(52,1),(99,1),(102,1),(103,1),(104,1),(147,1),(162,1),(165,1),(174,1),(214,1),(228,1),(233,1),(241,1),(271,1),(280,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(53,1),(95,1),(100,1),(104,1),(105,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(96,1),(104,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(90,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(100,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(101,1),(107,1),(108,1),(157,1),(177,1),(226,1),(231,1),(283,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(104,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(105,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(60,1),(115,1),(116,1),(119,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(66,1),(117,1),(118,1),(124,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(183,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(68,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(69,1),(116,1),(120,1),(121,1),(189,1),(199,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(76,1),(121,1),(122,1),(123,1),(142,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(124,1),(140,1),(206,1),(244,1),(259,1)}
        93:{2,3,6,7}:{(64,1),(70,1),(125,1),(126,1),(259,1),(262,1)}
        94:{1,3,4,6}:{(63,1),(66,1),(71,1),(124,1),(127,1),(200,1),(209,1)}
        95:{2,3,5,6}:{(64,1),(73,1),(125,1),(128,1),(129,1),(199,1),(202,1),(262,1)}
        96:{2,4,6}:{(64,1),(65,1),(74,1),(129,1)}
        97:{2,4,5}:{(66,1),(127,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(119,1),(124,1),(132,1)}
        99:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(75,1),(120,1),(132,1),(133,1),(134,1),(179,1),(192,1),(195,1),(198,1),(206,1),(242,1),(257,1),(265,1),(287,1),(297,1),(308,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(73,1),(76,1),(125,1),(134,1)}
       101:{1,3,4,6,7}:{(70,1),(74,1),(77,1),(126,1),(134,1),(135,1),(197,1),(208,1),(256,1),(260,1),(262,1),(298,1)}
       102:{2,5,6}:{(71,1),(127,1),(132,1)}
       103:{1,3,5,6}:{(72,1),(78,1),(133,1),(137,1),(138,1),(181,1),(200,1),(202,1),(262,1),(264,1),(298,1),(310,1),(314,1)}
       104:{1,4,6}:{(73,1),(79,1),(128,1),(134,1),(139,1)}
       105:{1,3,5}:{(74,1),(80,1),(129,1),(139,1),(202,1)}
       106:{3,5,7}:{(75,1),(78,1),(122,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(134,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(135,1),(141,1),(142,1),(193,1),(257,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(139,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(229,1),(280,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(148,1),(157,1),(226,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(154,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(97,1),(151,1),(153,1),(159,1),(212,1),(268,1),(272,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(149,1),(154,1),(155,1),(156,1),(226,1),(233,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(100,1),(150,1),(155,1),(156,1),(172,1),(225,1),(227,1),(267,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(107,1),(156,1),(157,1),(158,1),(177,1),(299,1),(313,1)}
       124:{1,3,4,7}:{(92,1),(94,1),(98,1),(159,1),(230,1),(238,1)}
       125:{2,3,5,7}:{(93,1),(95,1),(100,1),(160,1),(161,1),(232,1)}
       126:{2,4,6,7}:{(93,1),(96,1),(101,1),(160,1),(161,1),(233,1),(281,1),(306,1)}
       127:{2,4,6}:{(94,1),(97,1),(102,1),(159,1),(163,1)}
       128:{2,4,6}:{(95,1),(104,1),(160,1),(164,1),(165,1)}
       129:{2,5}:{(96,1),(105,1)}
       130:{1,2,4,5}:{(97,1),(162,1),(166,1),(237,1),(241,1),(284,1)}
       131:{2,3,5}:{(97,1),(163,1),(166,1),(167,1)}
       132:{2,5,7}:{(98,1),(102,1),(154,1),(159,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(106,1),(155,1),(169,1),(170,1),(213,1),(230,1),(232,1),(312,1)}
       134:{1,4,7}:{(100,1),(104,1),(107,1),(160,1)}
       135:{1,3,5,7}:{(101,1),(105,1),(108,1),(161,1),(171,1),(172,1),(232,1),(279,1)}
       136:{1,2,5,6}:{(102,1),(162,1),(168,1),(173,1),(284,1),(306,1)}
       137:{2,3,5,6}:{(102,1),(103,1),(163,1),(169,1),(173,1),(174,1),(234,1),(236,1),(280,1),(283,1),(284,1),(306,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(109,1),(164,1),(170,1),(174,1),(175,1),(216,1),(271,1),(302,1)}
       139:{1,4,5}:{(104,1),(105,1),(110,1),(165,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(171,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(172,1),(177,1),(229,1),(280,1),(283,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(296,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(124,1),(178,1),(182,1),(183,1),(244,1),(248,1),(256,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(121,1),(125,1),(183,1),(184,1),(190,1),(199,1),(243,1),(250,1),(257,1),(262,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(130,1),(185,1),(187,1),(195,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(297,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(131,1),(186,1),(187,1),(188,1),(196,1),(254,1)}
       154:{2,6,7}:{(119,1),(132,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(133,1),(183,1),(190,1),(262,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(134,1),(184,1),(192,1),(208,1),(287,1),(309,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{2,4,7}:{(124,1),(127,1),(132,1),(196,1)}
       160:{2,4,7}:{(125,1),(128,1),(134,1),(197,1)}
       161:{2,5,7}:{(126,1),(129,1),(135,1),(199,1)}
       162:{1,2,4,6}:{(127,1),(130,1),(136,1),(195,1),(200,1),(209,1),(263,1)}
       163:{2,3,6}:{(127,1),(131,1),(196,1),(200,1)}
       164:{3,4,6}:{(128,1),(197,1),(202,1),(262,1)}
       165:{2,4,5}:{(128,1),(129,1),(139,1),(202,1)}
       166:{1,3,5}:{(130,1),(131,1),(200,1),(203,1),(204,1)}
       167:{2,3,4}:{(131,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(136,1),(189,1),(195,1),(205,1),(297,1)}
       169:{2,3,5,7}:{(132,1),(133,1),(137,1),(190,1),(196,1),(205,1),(206,1),(257,1),(259,1),(297,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(138,1),(140,1),(197,1),(206,1),(244,1),(287,1),(307,1)}
       171:{1,4,5,7}:{(134,1),(135,1),(139,1),(141,1),(198,1),(208,1)}
       172:{1,3,5,6}:{(135,1),(142,1),(199,1),(208,1),(262,1),(296,1),(298,1)}
       173:{1,3,5,6}:{(136,1),(137,1),(200,1),(205,1),(209,1),(264,1),(296,1),(298,1)}
       174:{2,4,6}:{(137,1),(138,1),(206,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(138,1),(139,1),(143,1),(202,1),(210,1),(247,1),(264,1),(291,1),(310,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(193,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(279,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(159,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(156,1),(160,1),(219,1),(220,1),(233,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(166,1),(221,1),(223,1),(224,1),(230,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(167,1),(222,1),(224,1),(268,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(169,1),(225,1),(226,1),(283,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(170,1),(219,1),(226,1),(227,1),(240,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(220,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{1,2,4,7}:{(159,1),(162,1),(168,1),(230,1),(238,1),(281,1)}
       196:{2,3,7}:{(159,1),(163,1),(230,1)}
       197:{3,4,7}:{(160,1),(164,1),(232,1)}
       198:{2,4,5,7}:{(160,1),(161,1),(165,1),(171,1),(232,1),(233,1)}
       199:{2,5,6}:{(161,1),(172,1),(233,1),(306,1)}
       200:{1,3,6}:{(162,1),(163,1),(166,1),(230,1),(234,1)}
       201:{2,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(231,1),(235,1),(236,1),(283,1),(302,1)}
       202:{3,5}:{(164,1),(165,1)}
       203:{2,3,5}:{(166,1),(234,1),(237,1),(284,1)}
       204:{1,3,4}:{(166,1),(167,1),(237,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(173,1),(225,1),(230,1),(238,1),(279,1)}
       206:{2,4,7}:{(169,1),(170,1),(174,1),(238,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(175,1),(176,1),(227,1),(232,1),(239,1),(240,1),(269,1),(282,1),(300,1),(312,1)}
       208:{1,4,6}:{(171,1),(172,1),(177,1),(233,1)}
       209:{1,4,6}:{(173,1),(174,1),(238,1),(241,1)}
       210:{2,4,5}:{(174,1),(175,1),(236,1),(241,1),(284,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(296,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(195,1),(242,1),(248,1),(256,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(196,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(197,1),(244,1),(250,1),(262,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(192,1),(250,1),(251,1),(257,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(203,1),(252,1),(255,1),(259,1),(295,1),(297,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(204,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(206,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(250,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(208,1),(251,1),(258,1),(296,1),(309,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(259,1)}
       231:{2,3,4,7}:{(196,1),(197,1),(201,1),(206,1),(260,1),(261,1),(307,1)}
       232:{3,5,7}:{(197,1),(198,1),(202,1),(262,1)}
       233:{2,4,6}:{(198,1),(199,1),(208,1),(262,1)}
       234:{2,3,6}:{(200,1),(203,1),(259,1),(263,1)}
       235:{1,3,4,6}:{(200,1),(201,1),(204,1),(209,1),(260,1),(263,1),(264,1),(298,1)}
       236:{2,3,5}:{(201,1),(202,1),(210,1),(264,1),(310,1)}
       237:{2,4}:{(203,1),(204,1)}
       238:{1,4,7}:{(205,1),(206,1),(209,1)}
       239:{2,4,5,7}:{(206,1),(207,1),(210,1),(257,1),(261,1),(265,1),(266,1),(297,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(258,1),(262,1),(266,1),(289,1),(298,1),(309,1),(314,1)}
       241:{1,4,5}:{(209,1),(210,1),(264,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(279,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(230,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(231,1),(268,1),(274,1),(275,1),(283,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(233,1),(276,1),(280,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(237,1),(277,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(240,1),(276,1),(280,1)}
       259:{2,3,7}:{(230,1),(234,1),(281,1)}
       260:{1,3,4,7}:{(230,1),(231,1),(235,1),(238,1),(281,1),(282,1)}
       261:{2,3,5,7}:{(231,1),(232,1),(236,1),(239,1),(282,1),(283,1),(312,1)}
       262:{3,6}:{(232,1),(233,1)}
       263:{2,4,6}:{(234,1),(235,1),(237,1),(281,1),(284,1),(306,1)}
       264:{1,3,5}:{(235,1),(236,1),(241,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(279,1),(282,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(280,1),(283,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(259,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(260,1),(287,1),(292,1),(293,1),(298,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(257,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(262,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(263,1),(297,1)}
       282:{1,3,5,7}:{(260,1),(261,1),(264,1),(265,1),(297,1),(298,1)}
       283:{2,3,6}:{(261,1),(262,1),(266,1),(298,1),(314,1)}
       284:{2,5}:{(263,1),(264,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(281,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(279,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(280,1),(283,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(284,1),(306,1)}
       298:{1,3,6}:{(282,1),(283,1),(285,1),(306,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(296,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2199 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(51,1),(118,1),(132,1),(181,1),(185,1),(203,1),(218,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(29,1),(32,1),(234,1),(235,1),(261,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(39,1),(87,1),(96,1),(163,1),(173,1),(175,1),(231,1),(263,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(82,1),(159,1),(225,1),(230,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(304,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(54,1),(279,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(130,1),(307,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(63,1),(64,1),(130,1),(220,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(54,1),(122,1),(131,1),(276,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(48,1),(116,1),(195,1),(203,1),(218,1),(269,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(268,1),(274,1)}
        11:{1,2,3,6,7}:{(5,1),(23,1),(24,1),(85,1),(143,1),(232,1),(235,1),(321,1),(322,1),(385,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(28,1),(29,1),(30,1),(163,1),(342,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(29,1),(31,1),(32,1),(81,1),(87,1),(88,1),(163,1),(231,1),(234,1),(258,1),(340,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(30,1),(32,1)}
        15:{1,2,3,5,6}:{(5,1),(24,1),(32,1),(33,1),(71,1),(86,1),(90,1),(143,1),(167,1),(260,1),(261,1),(322,1),(341,1),(384,1),(387,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(29,1),(35,1),(36,1),(265,1),(343,1)}
        17:{2,3,4,6}:{(6,1),(30,1),(35,1),(36,1),(95,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(77,1),(85,1),(150,1),(163,1),(173,1),(242,1),(263,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(38,1),(39,1),(40,1),(98,1),(317,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(310,1),(316,1)}
        22:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(159,1)}
        23:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(105,1),(189,1),(275,1),(279,1),(358,1)}
        24:{1,2,3,5,7}:{(11,1),(15,1),(44,1),(45,1),(106,1),(121,1),(212,1),(303,1),(372,1),(404,1)}
        25:{2,3,4,6,7}:{(17,1),(43,1),(46,1),(61,1),(107,1),(109,1),(130,1),(187,1),(192,1),(275,1),(402,1),(403,1),(422,1)}
        26:{2,3,5,6,7}:{(21,1),(47,1),(48,1),(50,1),(114,1),(195,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(267,1),(290,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(203,1),(370,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(54,1),(55,1),(302,1),(372,1)}
        30:{1,3,4,6}:{(12,1),(14,1),(17,1),(52,1),(54,1),(55,1),(122,1)}
        31:{1,2,4,6}:{(13,1),(18,1),(54,1),(57,1),(115,1),(122,1),(276,1),(279,1)}
        32:{1,2,5}:{(14,1),(55,1)}
        33:{1,2,4,6}:{(15,1),(45,1),(58,1),(59,1),(122,1),(210,1),(304,1),(405,1)}
        34:{2,3,4,5,7}:{(16,1),(53,1),(60,1),(63,1),(110,1),(128,1),(130,1),(185,1),(205,1),(294,1)}
        35:{2,3,6}:{(16,1),(18,1),(54,1)}
        36:{2,3,5}:{(17,1),(55,1),(63,1)}
        37:{2,4,6,7}:{(18,1),(19,1),(61,1),(64,1),(130,1),(287,1),(305,1)}
        38:{2,5,6}:{(18,1),(20,1),(64,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(21,1),(64,1),(66,1),(133,1),(353,1)}
        40:{1,4,5,6}:{(20,1),(22,1),(65,1),(66,1),(122,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(48,1),(66,1),(68,1),(203,1)}
        42:{3,4,5,6}:{(22,1),(68,1),(204,1),(268,1)}
        43:{1,3,4,6,7}:{(23,1),(25,1),(30,1),(69,1),(70,1),(73,1),(85,1),(140,1),(143,1),(145,1),(163,1),(233,1),(318,1),(385,1),(386,1),(417,1)}
        44:{1,2,5,7}:{(23,1),(32,1),(70,1),(71,1),(316,1),(387,1)}
        45:{1,2,4,7}:{(24,1),(33,1),(73,1),(163,1),(256,1),(417,1)}
        46:{2,3,5,7}:{(25,1),(36,1),(70,1),(74,1),(75,1),(237,1),(316,1),(416,1)}
        47:{1,3,5,6,7}:{(26,1),(39,1),(76,1),(77,1),(150,1),(155,1),(242,1)}
        48:{2,4,6,7}:{(26,1),(41,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(155,1),(227,1),(245,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(310,1),(331,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(81,1),(82,1),(83,1),(337,1),(395,1)}
        52:{2,3,4,6}:{(28,1),(30,1),(82,1),(83,1),(159,1)}
        53:{1,3,4,5,7}:{(29,1),(34,1),(81,1),(84,1),(87,1),(160,1),(161,1),(163,1),(231,1),(250,1),(252,1),(335,1)}
        54:{1,3,6}:{(29,1),(31,1),(35,1),(82,1)}
        55:{1,3,5}:{(30,1),(32,1),(36,1),(83,1),(87,1)}
        56:{1,2,4,6,7}:{(31,1),(37,1),(85,1),(88,1),(156,1),(163,1),(318,1),(321,1),(340,1)}
        57:{1,2,5,6}:{(31,1),(32,1),(38,1),(86,1),(88,1),(157,1),(317,1)}
        58:{1,2,4,5}:{(32,1),(33,1),(87,1),(90,1),(165,1),(387,1),(418,1)}
        59:{1,3,4,6}:{(33,1),(73,1),(90,1),(91,1),(143,1),(341,1),(342,1)}
        60:{2,3,4,6}:{(34,1),(35,1),(84,1),(93,1),(95,1),(148,1),(230,1)}
        61:{2,3,6,7}:{(35,1),(37,1),(85,1),(94,1),(150,1),(343,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(38,1),(86,1),(94,1),(95,1),(98,1)}
        63:{2,4,5}:{(36,1),(87,1),(95,1),(96,1)}
        64:{2,5,7}:{(37,1),(38,1),(39,1)}
        65:{2,4,5,6}:{(38,1),(40,1),(95,1),(97,1),(98,1)}
        66:{1,4,5,7}:{(39,1),(40,1),(41,1),(77,1),(97,1),(163,1)}
        67:{1,3,4,5,6}:{(40,1),(42,1),(98,1),(99,1),(100,1),(152,1),(164,1),(177,1),(228,1),(244,1),(330,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(250,1),(310,1)}
        69:{2,3,4,6,7}:{(43,1),(52,1),(101,1),(107,1),(116,1),(180,1),(187,1),(203,1),(269,1),(275,1),(361,1),(362,1),(407,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(46,1),(55,1),(101,1),(102,1),(103,1),(353,1),(406,1)}
        71:{1,2,5,6}:{(44,1),(102,1),(105,1),(274,1),(279,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(58,1),(103,1),(105,1),(106,1),(185,1)}
        73:{1,3,4,7}:{(45,1),(59,1),(106,1),(107,1),(372,1)}
        74:{2,3,5,6}:{(46,1),(102,1),(109,1),(187,1),(191,1),(274,1)}
        75:{2,4,5,7}:{(46,1),(63,1),(103,1),(109,1),(110,1),(130,1),(422,1),(423,1)}
        76:{2,5,6,7}:{(47,1),(64,1),(111,1),(287,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(66,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(190,1),(199,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(273,1)}
        81:{2,4,5,7}:{(51,1),(53,1),(115,1),(118,1),(201,1),(203,1),(296,1),(368,1)}
        82:{2,3,6}:{(51,1),(54,1),(115,1)}
        83:{2,3,5}:{(52,1),(55,1),(118,1)}
        84:{1,3,4,6}:{(53,1),(54,1),(60,1),(115,1),(120,1),(122,1),(204,1),(276,1)}
        85:{1,3,6,7}:{(54,1),(56,1),(61,1),(116,1),(121,1),(372,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(57,1),(62,1),(117,1),(121,1),(122,1)}
        87:{1,4,5}:{(55,1),(63,1),(118,1),(122,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(64,1),(121,1),(201,1),(353,1)}
        89:{1,2,4,5,6}:{(57,1),(58,1),(65,1),(105,1),(122,1),(124,1),(125,1),(136,1),(182,1),(202,1),(210,1),(222,1),(274,1),(289,1),(299,1),(301,1),(354,1),(367,1),(398,1),(405,1)}
        90:{1,3,5}:{(58,1),(59,1),(126,1)}
        91:{2,3,4,6}:{(59,1),(107,1),(126,1),(127,1),(187,1),(210,1),(306,1),(307,1),(369,1),(370,1)}
        92:{2,3,4,6,7}:{(60,1),(61,1),(119,1),(128,1),(130,1),(192,1),(216,1),(275,1),(294,1),(365,1)}
        93:{2,3,5,6}:{(60,1),(120,1),(128,1),(129,1),(191,1),(274,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(64,1),(121,1),(130,1),(133,1)}
        95:{2,4,6}:{(62,1),(63,1),(122,1),(130,1),(131,1)}
        96:{3,4,5}:{(63,1),(131,1)}
        97:{2,4,5,7}:{(64,1),(65,1),(66,1),(111,1),(130,1),(133,1)}
        98:{3,5,6}:{(65,1),(131,1),(133,1)}
        99:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(133,1),(135,1),(197,1),(209,1),(221,1),(273,1),(288,1),(363,1)}
       100:{2,4,5,6}:{(67,1),(134,1),(135,1),(136,1),(210,1),(222,1),(274,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(83,1),(137,1),(138,1),(310,1),(316,1),(390,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(74,1),(137,1),(140,1),(143,1),(233,1),(317,1)}
       103:{1,4,5,7}:{(70,1),(75,1),(87,1),(138,1),(140,1),(163,1),(417,1),(418,1)}
       104:{1,2,5,6,7}:{(71,1),(76,1),(88,1),(139,1),(142,1),(155,1),(246,1),(247,1),(316,1),(321,1),(382,1),(383,1),(413,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(140,1),(143,1),(230,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(90,1),(143,1),(144,1)}
       107:{2,3,4,7}:{(73,1),(91,1),(144,1),(145,1),(256,1),(343,1),(395,1)}
       108:{2,3,5,6,7}:{(74,1),(76,1),(94,1),(139,1),(147,1),(150,1),(232,1),(237,1),(316,1),(413,1),(414,1),(424,1)}
       109:{2,4,6}:{(74,1),(75,1),(140,1),(148,1)}
       110:{3,4,5,7}:{(75,1),(96,1),(148,1),(173,1),(237,1),(425,1),(426,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(97,1),(150,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(99,1),(150,1),(151,1),(153,1),(242,1),(245,1),(331,1)}
       113:{3,5,6,7}:{(79,1),(150,1),(153,1),(237,1)}
       114:{2,5,6,7}:{(80,1),(151,1),(155,1),(316,1)}
       115:{2,4,6}:{(81,1),(82,1),(84,1),(157,1)}
       116:{2,3,6,7}:{(82,1),(85,1),(156,1),(158,1),(332,1),(395,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(157,1),(158,1),(159,1),(249,1)}
       118:{2,4,5}:{(83,1),(87,1),(159,1),(160,1)}
       119:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(156,1),(161,1),(163,1),(250,1),(253,1),(318,1),(332,1),(335,1),(393,1)}
       120:{1,3,5,6}:{(84,1),(93,1),(157,1),(161,1),(162,1),(249,1),(317,1)}
       121:{1,3,5,7}:{(85,1),(86,1),(88,1),(94,1),(158,1),(163,1)}
       122:{1,4,6}:{(86,1),(87,1),(95,1),(159,1),(163,1)}
       123:{1,3,4,5}:{(87,1),(90,1),(96,1),(160,1),(164,1),(165,1),(392,1),(418,1),(426,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(97,1),(142,1),(163,1),(166,1),(178,1),(227,1),(248,1),(256,1),(266,1),(316,1),(329,1),(339,1),(340,1),(383,1),(394,1),(411,1),(417,1)}
       125:{1,3,5,6}:{(89,1),(90,1),(98,1),(143,1),(164,1),(166,1),(167,1),(249,1),(330,1),(341,1),(412,1)}
       126:{2,3,5}:{(90,1),(91,1),(165,1),(168,1)}
       127:{1,3,4,6}:{(91,1),(145,1),(168,1),(169,1),(233,1),(257,1),(341,1),(342,1)}
       128:{2,3,5,7}:{(92,1),(93,1),(161,1),(171,1),(237,1),(316,1)}
       129:{2,4,5,6}:{(93,1),(95,1),(162,1),(171,1),(172,1)}
       130:{2,4,7}:{(94,1),(95,1),(163,1),(173,1)}
       131:{3,4,6}:{(95,1),(96,1),(98,1),(173,1)}
       132:{2,3,4,5}:{(96,1),(165,1),(174,1),(175,1),(337,1),(392,1)}
       133:{3,5,7}:{(97,1),(98,1),(150,1),(173,1)}
       134:{2,3,5,6}:{(98,1),(100,1),(174,1),(176,1),(177,1),(330,1)}
       135:{2,4,5,7}:{(99,1),(100,1),(151,1),(176,1),(178,1),(256,1),(266,1),(316,1)}
       136:{1,4,5,6}:{(100,1),(177,1),(178,1),(257,1),(317,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(180,1),(187,1),(268,1),(274,1)}
       138:{2,4,5,7}:{(101,1),(103,1),(118,1),(180,1),(181,1),(203,1),(407,1),(408,1)}
       139:{1,3,5,6,7}:{(102,1),(104,1),(108,1),(121,1),(179,1),(183,1),(186,1),(273,1),(278,1),(353,1),(404,1)}
       140:{1,4,6}:{(102,1),(103,1),(109,1),(180,1)}
       141:{1,3,4,5,7}:{(103,1),(106,1),(110,1),(123,1),(181,1),(184,1),(185,1),(209,1),(273,1)}
       142:{1,2,4,6,7}:{(104,1),(105,1),(111,1),(124,1),(183,1),(186,1),(196,1),(275,1),(287,1),(290,1),(291,1),(371,1),(409,1),(419,1)}
       143:{1,3,6}:{(105,1),(106,1),(187,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(126,1),(185,1),(187,1),(188,1)}
       145:{1,3,4,7}:{(107,1),(127,1),(188,1),(189,1),(300,1),(372,1)}
       146:{2,4,5,6}:{(109,1),(182,1),(190,1),(191,1),(274,1)}
       147:{2,4,6,7}:{(108,1),(109,1),(130,1),(183,1),(190,1),(192,1),(422,1)}
       148:{3,4,6}:{(109,1),(110,1),(191,1)}
       149:{2,3,4,5,7}:{(110,1),(132,1),(185,1),(193,1),(194,1),(218,1),(282,1),(351,1),(422,1),(423,1)}
       150:{3,6,7}:{(111,1),(133,1)}
       151:{2,4,6,7}:{(112,1),(114,1),(135,1),(195,1),(196,1),(287,1)}
       152:{3,4,5,6}:{(191,1),(197,1),(198,1),(421,1)}
       153:{3,4,6,7}:{(113,1),(197,1),(199,1)}
       154:{2,3,5,6,7}:{(113,1),(114,1),(195,1),(199,1),(200,1),(282,1)}
       155:{1,5,6,7}:{(114,1),(196,1),(353,1)}
       156:{2,4,6,7}:{(115,1),(116,1),(119,1),(201,1),(203,1),(368,1),(409,1)}
       157:{2,5,6}:{(115,1),(120,1),(201,1)}
       158:{2,3,5,7}:{(116,1),(117,1),(121,1),(201,1),(203,1),(292,1)}
       159:{2,4,6}:{(117,1),(118,1),(122,1),(203,1),(204,1)}
       160:{3,4,5}:{(118,1),(204,1)}
       161:{1,3,5,7}:{(119,1),(120,1),(128,1),(201,1),(207,1),(292,1),(353,1)}
       162:{1,4,5,6}:{(120,1),(122,1),(129,1),(202,1),(207,1)}
       163:{1,4,7}:{(121,1),(122,1),(130,1),(203,1)}
       164:{1,3,4,6}:{(122,1),(123,1),(125,1),(131,1),(204,1),(209,1),(210,1),(364,1),(405,1),(421,1)}
       165:{2,4,5}:{(123,1),(126,1),(210,1),(211,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(133,1),(186,1),(209,1),(212,1),(292,1),(363,1),(372,1),(420,1)}
       167:{2,3,5,6}:{(125,1),(126,1),(187,1),(210,1),(212,1),(213,1),(222,1),(274,1),(306,1),(367,1),(369,1)}
       168:{1,3,5}:{(126,1),(127,1),(211,1),(214,1)}
       169:{1,2,4,6}:{(127,1),(189,1),(214,1),(215,1),(279,1),(304,1)}
       170:{2,3,5,6,7}:{(128,1),(206,1),(216,1),(281,1),(352,1),(365,1)}
       171:{2,4,5,7}:{(128,1),(129,1),(130,1),(207,1),(216,1),(217,1)}
       172:{3,4,5,6}:{(129,1),(131,1),(191,1),(217,1)}
       173:{3,4,7}:{(130,1),(131,1),(133,1)}
       174:{2,3,4,6}:{(131,1),(132,1),(134,1),(210,1),(218,1),(219,1),(364,1),(369,1)}
       175:{1,3,4,5}:{(132,1),(211,1),(219,1),(220,1),(302,1)}
       176:{2,3,5,7}:{(133,1),(134,1),(135,1),(195,1),(218,1),(221,1),(363,1)}
       177:{1,3,5,6}:{(134,1),(136,1),(219,1),(221,1),(222,1)}
       178:{1,4,5,7}:{(135,1),(136,1),(196,1),(221,1),(300,1),(353,1)}
       179:{2,3,5,6,7}:{(137,1),(139,1),(158,1),(224,1),(232,1),(246,1),(247,1),(310,1),(316,1),(331,1),(332,1),(388,1)}
       180:{2,4,6}:{(137,1),(138,1),(140,1),(225,1)}
       181:{3,4,5,7}:{(138,1),(160,1),(225,1),(250,1),(310,1),(391,1),(392,1)}
       182:{1,4,5,6}:{(140,1),(146,1),(223,1),(227,1),(228,1),(317,1)}
       183:{1,4,6,7}:{(139,1),(140,1),(147,1),(163,1),(224,1),(227,1),(417,1)}
       184:{1,3,4,6}:{(140,1),(141,1),(143,1),(148,1),(225,1),(228,1),(230,1)}
       185:{2,4,5,7}:{(141,1),(144,1),(165,1),(230,1),(231,1),(256,1),(316,1)}
       186:{1,3,6,7}:{(142,1),(143,1),(150,1),(166,1),(232,1),(331,1),(332,1),(424,1)}
       187:{2,3,6}:{(143,1),(144,1),(230,1),(233,1)}
       188:{1,3,5,7}:{(144,1),(145,1),(168,1),(231,1),(233,1),(234,1)}
       189:{1,2,4,7}:{(145,1),(169,1),(234,1),(235,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(227,1),(237,1),(316,1)}
       191:{3,5,6}:{(146,1),(148,1),(237,1)}
       192:{3,4,6,7}:{(147,1),(148,1),(150,1),(173,1),(237,1),(424,1),(425,1)}
       193:{2,3,4,6}:{(148,1),(149,1),(230,1),(238,1),(240,1),(380,1),(415,1)}
       194:{1,3,4,5,7}:{(149,1),(175,1),(231,1),(240,1),(241,1),(263,1),(320,1),(324,1),(391,1),(392,1),(417,1),(418,1)}
       195:{2,3,6,7}:{(150,1),(151,1),(176,1),(242,1),(331,1)}
       196:{1,4,6,7}:{(151,1),(155,1),(178,1),(242,1)}
       197:{3,4,5,7}:{(152,1),(153,1),(237,1),(243,1),(425,1)}
       198:{2,4,5,6}:{(152,1),(238,1),(243,1),(244,1),(415,1)}
       199:{2,4,6,7}:{(153,1),(154,1),(243,1),(245,1)}
       200:{1,3,5,6,7}:{(154,1),(155,1),(242,1),(245,1),(246,1),(324,1),(331,1)}
       201:{2,5,7}:{(156,1),(157,1),(161,1)}
       202:{2,4,5,6}:{(157,1),(159,1),(162,1),(248,1),(249,1)}
       203:{2,4,7}:{(158,1),(159,1),(163,1),(250,1)}
       204:{3,4,6}:{(159,1),(160,1),(249,1),(250,1)}
       205:{2,3,4,5}:{(160,1),(165,1),(251,1),(252,1),(265,1),(426,1)}
       206:{1,3,5,6,7}:{(161,1),(170,1),(247,1),(253,1),(332,1),(382,1),(393,1)}
       207:{1,4,5,7}:{(161,1),(162,1),(163,1),(171,1),(248,1),(253,1)}
       208:{1,3,4,5,6}:{(162,1),(164,1),(172,1),(228,1),(249,1),(254,1),(255,1),(308,1),(334,1),(375,1),(412,1)}
       209:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1),(250,1),(256,1),(391,1),(417,1),(425,1)}
       210:{2,4,6}:{(164,1),(165,1),(167,1),(256,1),(257,1)}
       211:{1,4,5}:{(165,1),(168,1),(257,1)}
       212:{2,3,5,7}:{(166,1),(167,1),(232,1),(256,1),(259,1),(266,1),(316,1),(343,1),(394,1),(395,1)}
       213:{1,3,5,6}:{(167,1),(168,1),(233,1),(257,1),(259,1),(260,1),(317,1),(341,1)}
       214:{1,2,5}:{(168,1),(169,1)}
       215:{1,2,3,6}:{(169,1),(235,1),(261,1),(341,1)}
       216:{2,4,6,7}:{(170,1),(171,1),(253,1),(262,1)}
       217:{3,4,5,7}:{(171,1),(172,1),(173,1),(237,1),(262,1)}
       218:{2,3,4,7}:{(173,1),(174,1),(176,1),(256,1),(263,1),(391,1),(395,1)}
       219:{1,3,4,6}:{(174,1),(175,1),(177,1),(257,1),(263,1),(264,1),(341,1)}
       220:{2,4,5}:{(175,1),(264,1),(265,1)}
       221:{1,3,5,7}:{(176,1),(177,1),(178,1),(242,1),(263,1),(266,1)}
       222:{2,5,6}:{(177,1),(264,1),(266,1)}
       223:{2,4,5,6}:{(180,1),(182,1),(267,1),(268,1),(274,1)}
       224:{2,4,6,7}:{(179,1),(180,1),(183,1),(203,1),(267,1),(269,1),(407,1)}
       225:{3,4,6}:{(180,1),(181,1),(268,1)}
       226:{2,3,4,5,7}:{(181,1),(185,1),(205,1),(270,1),(271,1),(286,1),(294,1),(347,1),(407,1),(408,1)}
       227:{1,4,5,7}:{(182,1),(183,1),(190,1),(267,1),(273,1),(353,1)}
       228:{1,3,5,6}:{(182,1),(184,1),(191,1),(268,1),(273,1),(274,1)}
       229:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(192,1),(209,1),(269,1),(273,1),(275,1)}
       230:{2,4,6}:{(184,1),(185,1),(187,1),(274,1),(276,1)}
       231:{1,4,5,7}:{(185,1),(188,1),(211,1),(276,1),(300,1),(353,1)}
       232:{2,3,6,7}:{(186,1),(187,1),(212,1),(275,1),(278,1),(287,1),(409,1)}
       233:{1,3,6}:{(187,1),(188,1),(276,1),(279,1)}
       234:{1,2,5,7}:{(188,1),(189,1),(214,1),(279,1)}
       235:{1,2,3,7}:{(189,1),(215,1),(372,1)}
       236:{2,4,5,6,7}:{(190,1),(216,1),(272,1),(281,1),(352,1),(419,1)}
       237:{3,5,7}:{(190,1),(191,1),(192,1)}
       238:{2,3,5,6}:{(191,1),(193,1),(198,1),(274,1),(282,1),(283,1)}
       239:{2,3,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(218,1),(275,1),(282,1),(284,1),(402,1),(422,1)}
       240:{1,3,4,6}:{(193,1),(194,1),(276,1),(283,1),(285,1),(356,1),(364,1),(405,1)}
       241:{2,4,5,7}:{(194,1),(220,1),(285,1),(286,1),(305,1),(359,1),(407,1),(408,1)}
       242:{1,3,6,7}:{(195,1),(196,1),(221,1),(287,1)}
       243:{2,4,5,7}:{(197,1),(198,1),(199,1),(282,1),(288,1),(422,1)}
       244:{1,4,5,6}:{(198,1),(283,1),(288,1),(289,1),(405,1)}
       245:{1,4,6,7}:{(199,1),(200,1),(288,1),(290,1)}
       246:{2,5,6,7}:{(200,1),(287,1),(290,1),(359,1)}
       247:{2,5,6,7}:{(201,1),(206,1),(291,1),(409,1)}
       248:{2,4,5,7}:{(201,1),(202,1),(203,1),(207,1),(291,1),(292,1)}
       249:{3,5,6}:{(202,1),(204,1),(292,1)}
       250:{3,4,7}:{(203,1),(204,1),(292,1)}
       251:{2,3,4,6}:{(204,1),(205,1),(210,1),(293,1),(294,1),(295,1),(306,1),(421,1)}
       252:{1,3,4,5}:{(205,1),(211,1),(295,1),(296,1),(302,1)}
       253:{1,4,6,7}:{(206,1),(207,1),(216,1),(291,1)}
       254:{1,3,4,5,7}:{(207,1),(208,1),(209,1),(217,1),(273,1),(292,1),(297,1),(298,1),(344,1),(366,1),(397,1),(420,1)}
       255:{2,4,5,6}:{(208,1),(210,1),(274,1),(293,1),(298,1),(299,1),(367,1)}
       256:{2,4,7}:{(209,1),(210,1),(212,1),(300,1)}
       257:{1,4,6}:{(210,1),(211,1),(213,1),(300,1)}
       258:{1,2,4,5}:{(211,1),(214,1),(220,1),(296,1),(301,1),(302,1),(304,1)}
       259:{1,3,5,7}:{(212,1),(213,1),(278,1),(300,1),(303,1),(353,1),(372,1)}
       260:{1,2,5,6}:{(213,1),(214,1),(222,1),(279,1),(301,1),(303,1),(367,1)}
       261:{1,2,3,5}:{(214,1),(215,1),(302,1),(304,1)}
       262:{3,4,6,7}:{(216,1),(217,1),(281,1)}
       263:{1,3,4,7}:{(218,1),(219,1),(221,1),(300,1),(305,1),(372,1)}
       264:{2,4,6}:{(219,1),(220,1),(222,1),(305,1),(306,1)}
       265:{2,3,5}:{(220,1),(302,1),(306,1),(307,1)}
       266:{2,5,7}:{(221,1),(222,1),(287,1),(305,1)}
       267:{2,4,5,7}:{(223,1),(224,1),(227,1),(310,1),(316,1)}
       268:{3,5,6}:{(223,1),(225,1),(310,1)}
       269:{3,4,6,7}:{(224,1),(225,1),(250,1),(310,1),(331,1),(332,1),(391,1)}
       270:{2,3,4,6}:{(225,1),(226,1),(230,1),(311,1),(313,1),(327,1),(389,1)}
       271:{1,3,4,5,7}:{(226,1),(231,1),(252,1),(313,1),(314,1),(320,1),(335,1),(377,1),(417,1),(418,1),(425,1),(426,1)}
       272:{1,4,5,6,7}:{(227,1),(236,1),(253,1),(309,1),(315,1),(382,1),(410,1)}
       273:{1,3,5,7}:{(227,1),(228,1),(229,1),(237,1),(310,1),(316,1)}
       274:{2,5,6}:{(228,1),(230,1),(316,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(232,1),(256,1),(316,1),(318,1)}
       276:{1,4,6}:{(230,1),(231,1),(233,1),(317,1)}
       277:{1,2,4,5,7}:{(231,1),(234,1),(241,1),(258,1),(314,1),(319,1),(320,1),(323,1),(340,1),(383,1),(387,1),(417,1),(418,1)}
       278:{1,3,6,7}:{(232,1),(233,1),(259,1),(318,1),(321,1)}
       279:{1,2,6}:{(233,1),(234,1)}
       280:{1,2,3,5,7}:{(234,1),(235,1),(261,1),(320,1),(322,1),(323,1),(387,1)}
       281:{3,5,6,7}:{(236,1),(237,1),(262,1),(424,1)}
       282:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(316,1),(324,1)}
       283:{1,3,5,6}:{(238,1),(240,1),(244,1),(317,1),(324,1),(325,1),(330,1)}
       284:{1,3,4,6,7}:{(239,1),(240,1),(242,1),(245,1),(263,1),(318,1),(324,1),(326,1),(331,1),(385,1),(391,1),(417,1)}
       285:{2,4,6}:{(240,1),(241,1),(325,1),(327,1)}
       286:{2,3,5,7}:{(241,1),(265,1),(320,1),(327,1),(328,1),(343,1),(390,1)}
       287:{2,6,7}:{(242,1),(266,1)}
       288:{1,4,5,7}:{(243,1),(244,1),(245,1),(324,1),(329,1),(417,1)}
       289:{2,4,5,6}:{(244,1),(325,1),(329,1),(330,1),(389,1)}
       290:{2,4,6,7}:{(245,1),(246,1),(329,1),(331,1)}
       291:{2,4,6,7}:{(247,1),(248,1),(253,1),(332,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1),(332,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(255,1),(333,1),(334,1),(412,1)}
       294:{2,3,4,7}:{(250,1),(251,1),(256,1),(333,1),(335,1),(343,1),(425,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(257,1),(334,1),(335,1),(336,1),(341,1)}
       296:{2,4,5}:{(252,1),(336,1),(337,1)}
       297:{1,3,4,6,7}:{(253,1),(254,1),(262,1),(315,1),(332,1),(338,1),(373,1),(393,1),(410,1),(424,1)}
       298:{2,4,5,7}:{(254,1),(255,1),(256,1),(316,1),(333,1),(338,1),(339,1),(394,1)}
       299:{1,4,5,6}:{(255,1),(257,1),(317,1),(334,1),(339,1)}
       300:{1,4,7}:{(256,1),(257,1),(259,1)}
       301:{1,2,4,6}:{(257,1),(258,1),(260,1),(264,1),(336,1),(340,1),(341,1)}
       302:{1,3,5}:{(258,1),(265,1),(337,1),(341,1),(342,1)}
       303:{1,2,5,7}:{(259,1),(260,1),(266,1),(321,1),(340,1),(394,1)}
       304:{1,2,4}:{(261,1),(342,1)}
       305:{2,4,7}:{(263,1),(264,1),(266,1),(343,1)}
       306:{2,3,6}:{(264,1),(265,1),(341,1),(343,1)}
       307:{2,3,4}:{(265,1),(342,1)}
       308:{3,4,5,6}:{(268,1),(344,1),(345,1),(364,1)}
       309:{2,4,5,6,7}:{(267,1),(272,1),(291,1),(346,1),(352,1),(396,1)}
       310:{3,5,7}:{(267,1),(268,1),(269,1)}
       311:{2,3,5,6}:{(268,1),(270,1),(274,1),(345,1),(347,1),(348,1)}
       312:{2,3,4,6,7}:{(269,1),(270,1),(275,1),(294,1),(347,1),(349,1),(361,1),(365,1),(396,1),(407,1)}
       313:{1,3,4,6}:{(270,1),(271,1),(276,1),(348,1),(350,1),(356,1),(405,1),(421,1)}
       314:{2,4,5,7}:{(271,1),(296,1),(350,1),(351,1),(368,1),(400,1),(422,1),(423,1)}
       315:{1,3,5,6,7}:{(272,1),(273,1),(281,1),(297,1),(346,1),(352,1)}
       316:{2,5,7}:{(273,1),(274,1),(275,1),(353,1)}
       317:{1,5,6}:{(274,1),(276,1),(353,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(278,1),(300,1),(353,1)}
       319:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(350,1),(354,1),(356,1),(405,1)}
       320:{1,3,5,7}:{(277,1),(286,1),(302,1),(351,1),(356,1),(357,1),(372,1),(406,1)}
       321:{1,2,6,7}:{(278,1),(279,1),(287,1),(303,1),(409,1)}
       322:{1,2,3,6}:{(279,1),(280,1),(356,1),(358,1)}
       323:{1,2,4,7}:{(280,1),(304,1),(357,1),(358,1)}
       324:{1,3,5,7}:{(282,1),(283,1),(284,1),(288,1),(353,1),(359,1),(363,1)}
       325:{2,5,6}:{(283,1),(285,1),(359,1)}
       326:{2,4,6,7}:{(284,1),(285,1),(287,1),(305,1),(359,1),(361,1),(407,1)}
       327:{2,3,6}:{(285,1),(286,1),(356,1)}
       328:{2,3,4,7}:{(286,1),(307,1),(357,1),(362,1),(407,1)}
       329:{2,4,5,7}:{(288,1),(289,1),(290,1),(359,1),(363,1),(407,1)}
       330:{3,5,6}:{(289,1),(363,1),(364,1)}
       331:{3,6,7}:{(290,1),(363,1)}
       332:{3,6,7}:{(291,1),(292,1)}
       333:{2,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(365,1),(366,1),(420,1)}
       334:{1,3,5,6}:{(293,1),(295,1),(299,1),(366,1),(367,1)}
       335:{1,3,4,7}:{(294,1),(295,1),(300,1),(366,1),(368,1),(372,1)}
       336:{2,4,6}:{(295,1),(296,1),(367,1),(368,1),(369,1)}
       337:{2,3,5}:{(296,1),(302,1),(369,1),(370,1)}
       338:{2,4,6,7}:{(297,1),(298,1),(352,1),(365,1),(371,1),(409,1)}
       339:{1,4,5,7}:{(298,1),(299,1),(300,1),(353,1),(366,1),(371,1)}
       340:{1,2,4,7}:{(300,1),(301,1),(303,1),(305,1),(368,1),(372,1)}
       341:{1,3,6}:{(301,1),(302,1),(306,1),(369,1),(372,1)}
       342:{1,3,4}:{(302,1),(304,1),(307,1),(370,1)}
       343:{2,3,7}:{(305,1),(306,1),(372,1)}
       344:{3,4,5,7}:{(308,1),(310,1),(373,1),(374,1),(391,1)}
       345:{2,4,5,6}:{(308,1),(311,1),(374,1),(375,1),(389,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(332,1),(373,1)}
       347:{2,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(374,1),(377,1)}
       348:{1,3,5,6}:{(311,1),(313,1),(317,1),(375,1),(377,1),(378,1),(412,1)}
       349:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(335,1),(377,1),(379,1),(385,1),(393,1),(410,1),(417,1),(424,1),(425,1)}
       350:{2,4,6}:{(313,1),(314,1),(378,1),(380,1)}
       351:{2,3,5,7}:{(314,1),(320,1),(337,1),(380,1),(381,1),(395,1),(416,1)}
       352:{2,5,6,7}:{(315,1),(316,1),(338,1),(382,1)}
       353:{1,5,7}:{(316,1),(317,1),(318,1)}
       354:{1,2,5,6}:{(317,1),(319,1),(325,1),(378,1),(383,1),(384,1),(387,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(321,1),(326,1),(340,1),(379,1),(383,1),(385,1),(417,1)}
       356:{1,3,6}:{(319,1),(320,1),(327,1),(380,1)}
       357:{1,3,4,7}:{(320,1),(323,1),(328,1),(342,1),(381,1),(386,1),(417,1)}
       358:{1,2,4,6}:{(322,1),(323,1),(386,1),(387,1)}
       359:{2,5,7}:{(324,1),(325,1),(326,1)}
       360:{2,3,5,6}:{(325,1),(327,1),(330,1),(384,1),(388,1),(389,1),(390,1)}
       361:{2,3,6,7}:{(326,1),(327,1),(331,1),(343,1),(385,1),(388,1)}
       362:{2,3,4,6}:{(327,1),(328,1),(386,1),(389,1),(390,1)}
       363:{3,5,7}:{(329,1),(330,1),(331,1),(391,1)}
       364:{3,4,6}:{(330,1),(389,1),(391,1),(392,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(338,1),(393,1),(424,1)}
       366:{1,3,5,7}:{(333,1),(334,1),(335,1),(339,1),(393,1),(394,1)}
       367:{2,5,6}:{(334,1),(336,1),(394,1)}
       368:{2,4,7}:{(335,1),(336,1),(394,1),(395,1)}
       369:{2,3,6}:{(336,1),(337,1),(341,1),(395,1)}
       370:{2,3,4}:{(337,1),(342,1)}
       371:{1,4,6,7}:{(338,1),(339,1),(382,1),(393,1)}
       372:{1,3,7}:{(340,1),(341,1),(343,1),(395,1)}
       373:{3,4,6,7}:{(344,1),(346,1),(396,1)}
       374:{2,4,5,7}:{(344,1),(345,1),(347,1),(396,1),(397,1),(407,1)}
       375:{1,4,5,6}:{(345,1),(348,1),(397,1),(398,1),(405,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(352,1),(365,1),(396,1),(399,1)}
       377:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(397,1),(400,1),(420,1)}
       378:{2,5,6}:{(348,1),(350,1),(400,1)}
       379:{2,4,6,7}:{(349,1),(350,1),(368,1),(400,1),(402,1),(409,1),(422,1)}
       380:{2,3,6}:{(350,1),(351,1),(356,1)}
       381:{2,3,4,7}:{(351,1),(357,1),(370,1),(403,1),(422,1)}
       382:{1,5,6,7}:{(352,1),(353,1),(371,1)}
       383:{1,2,5,7}:{(353,1),(354,1),(355,1),(359,1),(400,1),(404,1)}
       384:{1,3,5,6}:{(354,1),(356,1),(360,1),(401,1),(404,1),(405,1),(406,1)}
       385:{1,3,6,7}:{(355,1),(356,1),(361,1),(372,1),(402,1),(404,1)}
       386:{1,3,4,6}:{(356,1),(357,1),(358,1),(362,1),(403,1),(405,1),(406,1)}
       387:{1,2,5}:{(358,1),(406,1)}
       388:{2,3,5,7}:{(359,1),(360,1),(361,1),(363,1),(404,1),(407,1)}
       389:{2,4,6}:{(360,1),(364,1),(405,1),(407,1),(408,1)}
       390:{2,3,5}:{(362,1),(406,1),(408,1)}
       391:{3,4,7}:{(363,1),(364,1),(407,1)}
       392:{3,4,5}:{(364,1),(408,1)}
       393:{1,3,6,7}:{(365,1),(366,1),(371,1),(409,1)}
       394:{2,5,7}:{(366,1),(367,1),(368,1),(409,1)}
       395:{2,3,7}:{(368,1),(369,1),(372,1)}
       396:{2,4,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       397:{1,4,5,7}:{(374,1),(375,1),(377,1),(410,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(375,1),(378,1),(411,1),(412,1),(415,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(382,1),(393,1),(410,1),(413,1),(424,1)}
       400:{2,5,7}:{(377,1),(378,1),(379,1)}
       401:{2,3,5,6}:{(378,1),(380,1),(384,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(379,1),(380,1),(385,1),(395,1),(414,1),(424,1)}
       403:{2,3,4,6}:{(380,1),(381,1),(386,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(383,1),(384,1),(385,1),(388,1),(414,1),(417,1)}
       405:{1,4,6}:{(384,1),(389,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(386,1),(387,1),(390,1),(416,1),(418,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1)}
       408:{2,4,5}:{(389,1),(390,1),(392,1),(418,1)}
       409:{2,6,7}:{(393,1),(394,1)}
       410:{1,4,6,7}:{(396,1),(397,1),(399,1),(419,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(400,1),(419,1),(420,1),(422,1)}
       412:{3,5,6}:{(398,1),(420,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(409,1),(419,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(420,1),(422,1)}
       415:{2,4,6}:{(401,1),(405,1),(421,1),(422,1),(423,1)}
       416:{2,3,5}:{(403,1),(406,1),(423,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(422,1)}
       418:{1,4,5}:{(405,1),(406,1),(408,1),(423,1)}
       419:{2,4,6,7}:{(410,1),(411,1),(413,1),(424,1)}
       420:{3,5,7}:{(411,1),(412,1),(424,1),(425,1)}
       421:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       422:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2200 :   0:{1,2,3,5,6}:{(1,1),(2,1),(11,1),(42,1),(47,1),(48,1),(186,1),(190,1),(287,1),(301,1),(388,1),(393,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(68,1),(245,1),(428,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(25,1),(30,1),(74,1),(241,1),(338,1),(424,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(32,1),(89,1),(94,1),(95,1),(115,1),(119,1),(211,1),(225,1),(326,1),(331,1)}
         4:{1,2,4,5}:{(1,1),(11,1),(40,1),(393,1),(462,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(13,1),(14,1),(47,1),(287,1),(292,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(14,1),(109,1),(459,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(47,1),(117,1),(297,1),(301,1),(383,1),(488,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(18,1),(128,1),(170,1),(372,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(57,1),(62,1),(134,1),(166,1),(268,1),(368,1)}
        10:{1,2,4,5,6}:{(4,1),(22,1),(23,1),(26,1),(65,1),(68,1),(151,1),(164,1),(165,1),(232,1),(344,1),(363,1),(428,1)}
        11:{1,3,5}:{(4,1),(5,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(25,1),(26,1),(30,1),(71,1),(85,1)}
        13:{2,3,4,6}:{(5,1),(24,1),(27,1),(28,1),(68,1),(79,1),(254,1),(258,1)}
        14:{1,3,4,7}:{(5,1),(6,1),(25,1),(28,1),(338,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(159,1),(350,1),(457,1),(458,1)}
        16:{1,2,4,5}:{(8,1),(32,1),(87,1),(331,1),(413,1)}
        17:{1,3,4,6}:{(8,1),(32,1),(34,1),(35,1),(94,1),(211,1),(216,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(35,1),(180,1),(410,1)}
        19:{1,2,3,6,7}:{(9,1),(36,1),(94,1),(188,1),(221,1),(225,1),(321,1),(520,1)}
        20:{1,3,4,5,6}:{(37,1),(38,1),(39,1),(86,1),(103,1),(114,1),(185,1),(315,1),(316,1),(405,1)}
        21:{1,3,4,5}:{(11,1),(39,1),(40,1),(462,1),(476,1)}
        22:{1,3,5,6}:{(10,1),(11,1),(39,1),(42,1),(43,1),(47,1),(287,1),(405,1)}
        23:{1,2,4,5,7}:{(10,1),(43,1),(44,1),(105,1),(109,1),(206,1),(214,1),(215,1),(288,1),(384,1),(401,1),(459,1)}
        24:{2,3,5}:{(11,1),(13,1),(40,1),(45,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(14,1),(46,1),(47,1)}
        26:{1,2,4,6}:{(12,1),(47,1),(48,1),(113,1),(123,1)}
        27:{1,3,4,6}:{(13,1),(45,1),(49,1),(50,1),(108,1),(121,1),(211,1),(216,1)}
        28:{2,3,4,7}:{(13,1),(14,1),(46,1),(50,1),(109,1),(308,1)}
        29:{1,3,4,6,7}:{(14,1),(15,1),(47,1),(51,1),(52,1),(123,1),(383,1),(387,1),(418,1),(421,1),(422,1),(459,1)}
        30:{1,2,5,7}:{(15,1),(48,1),(52,1),(214,1),(393,1)}
        31:{1,2,4,5,6}:{(16,1),(54,1),(55,1),(58,1),(65,1),(128,1),(151,1),(157,1),(239,1),(240,1),(274,1),(363,1),(372,1)}
        32:{1,3,5}:{(16,1),(17,1),(56,1)}
        33:{1,2,4,5,7}:{(16,1),(18,1),(57,1),(58,1),(62,1),(131,1),(145,1)}
        34:{2,3,4,6}:{(17,1),(56,1),(59,1),(60,1),(128,1),(139,1),(254,1),(258,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(57,1),(60,1),(268,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(58,1),(61,1),(62,1),(234,1),(280,1),(498,1),(499,1)}
        37:{2,4,5,6}:{(20,1),(64,1),(65,1),(66,1),(68,1),(128,1),(151,1),(164,1),(239,1)}
        38:{1,3,4,5,7}:{(20,1),(66,1),(67,1),(69,1),(129,1),(152,1),(160,1),(235,1),(359,1),(360,1),(440,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(68,1),(69,1),(428,1),(443,1)}
        40:{2,4,5}:{(21,1),(24,1),(68,1),(70,1)}
        41:{1,3,4,5,7}:{(21,1),(25,1),(69,1),(71,1),(72,1),(85,1),(160,1),(178,1)}
        42:{2,3,5,6}:{(22,1),(24,1),(68,1),(73,1),(74,1),(79,1),(151,1),(164,1),(254,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(69,1),(74,1),(75,1),(338,1),(440,1)}
        44:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(154,1),(159,1),(169,1),(263,1),(365,1)}
        45:{1,3,5}:{(24,1),(27,1),(70,1),(77,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(28,1),(71,1),(78,1),(79,1)}
        47:{1,3,6}:{(25,1),(26,1),(79,1)}
        48:{1,2,5,6}:{(26,1),(30,1),(80,1),(164,1),(457,1)}
        49:{1,2,4,6}:{(27,1),(77,1),(81,1),(82,1),(170,1),(172,1)}
        50:{1,3,4,7}:{(27,1),(28,1),(78,1),(82,1),(158,1),(268,1)}
        51:{2,3,4,6,7}:{(28,1),(29,1),(79,1),(83,1),(84,1),(159,1),(174,1),(279,1),(357,1),(361,1),(376,1),(379,1),(381,1),(439,1)}
        52:{1,3,5,7}:{(29,1),(30,1),(80,1),(84,1),(85,1),(427,1),(450,1)}
        53:{1,3,4,5}:{(32,1),(86,1),(87,1),(413,1),(476,1)}
        54:{1,3,5,6}:{(31,1),(32,1),(86,1),(89,1),(90,1),(94,1),(211,1),(405,1)}
        55:{1,2,4,5,7}:{(31,1),(90,1),(91,1),(105,1),(180,1),(206,1),(212,1),(290,1),(291,1),(322,1),(401,1),(410,1)}
        56:{2,3,5}:{(32,1),(34,1),(87,1),(92,1)}
        57:{1,3,5,7}:{(32,1),(33,1),(35,1),(93,1),(94,1)}
        58:{1,2,4,6}:{(33,1),(94,1),(95,1),(184,1),(194,1)}
        59:{1,3,4,6}:{(34,1),(92,1),(96,1),(97,1),(179,1),(192,1),(287,1),(292,1)}
        60:{2,3,4,7}:{(34,1),(35,1),(93,1),(97,1),(180,1),(308,1)}
        61:{1,3,4,6,7}:{(35,1),(36,1),(94,1),(98,1),(99,1),(194,1),(321,1),(325,1),(410,1),(467,1),(470,1),(471,1)}
        62:{1,2,5,7}:{(36,1),(95,1),(99,1),(290,1),(331,1)}
        63:{2,3,4,5}:{(40,1),(87,1),(100,1),(101,1),(202,1),(476,1)}
        64:{2,3,5,6}:{(37,1),(100,1),(103,1),(104,1),(405,1)}
        65:{1,4,5,6}:{(37,1),(103,1),(105,1),(108,1),(179,1),(219,1),(295,1)}
        66:{2,4,5,7}:{(37,1),(38,1),(104,1),(105,1),(106,1),(109,1),(180,1),(206,1),(214,1),(290,1)}
        67:{1,3,4,6,7}:{(38,1),(106,1),(107,1),(207,1),(318,1),(319,1),(407,1)}
        68:{2,4,6}:{(39,1),(40,1),(42,1),(108,1),(109,1)}
        69:{1,3,4,7}:{(39,1),(43,1),(109,1),(459,1),(473,1)}
        70:{1,4,5}:{(40,1),(45,1),(108,1)}
        71:{2,4,5,7}:{(40,1),(41,1),(46,1),(109,1),(112,1),(113,1),(214,1)}
        72:{1,3,4,6}:{(41,1),(47,1),(113,1),(114,1),(123,1),(228,1)}
        73:{1,3,5,6}:{(42,1),(45,1),(108,1),(115,1),(116,1),(121,1),(211,1),(219,1)}
        74:{2,3,5,7}:{(42,1),(43,1),(109,1),(116,1),(117,1),(206,1),(214,1),(308,1)}
        75:{1,3,6,7}:{(43,1),(44,1),(47,1),(117,1),(407,1)}
        76:{1,2,5,6,7}:{(44,1),(48,1),(118,1),(209,1),(214,1),(317,1),(384,1),(485,1)}
        77:{1,2,5}:{(45,1),(49,1)}
        78:{1,3,5,7}:{(45,1),(46,1),(50,1),(112,1),(120,1),(121,1)}
        79:{2,3,6}:{(46,1),(47,1),(113,1),(121,1)}
        80:{1,3,5,6}:{(47,1),(48,1),(52,1),(122,1),(123,1),(416,1),(421,1)}
        81:{1,2,3,6}:{(49,1),(119,1),(124,1),(211,1)}
        82:{1,2,4,7}:{(49,1),(50,1),(120,1),(124,1)}
        83:{1,3,4,6,7}:{(50,1),(51,1),(121,1),(125,1),(126,1),(213,1),(227,1),(321,1),(325,1),(333,1),(335,1),(410,1)}
        84:{2,3,5,7}:{(51,1),(52,1),(122,1),(126,1),(127,1),(214,1),(324,1),(403,1),(412,1)}
        85:{1,4,5,7}:{(52,1),(123,1),(127,1),(459,1),(462,1)}
        86:{1,3,4,6}:{(53,1),(54,1),(128,1),(129,1),(372,1),(443,1)}
        87:{2,4,5}:{(53,1),(56,1),(128,1),(130,1)}
        88:{1,3,4,5,7}:{(53,1),(57,1),(129,1),(131,1),(132,1),(145,1),(235,1),(253,1)}
        89:{2,3,5,6}:{(54,1),(56,1),(128,1),(133,1),(134,1),(139,1),(151,1),(239,1),(254,1)}
        90:{1,3,5,7}:{(54,1),(55,1),(129,1),(134,1),(135,1),(268,1),(440,1)}
        91:{1,2,4,6,7}:{(55,1),(58,1),(135,1),(136,1),(154,1),(234,1),(244,1),(263,1),(365,1)}
        92:{1,3,5}:{(56,1),(59,1),(130,1),(137,1)}
        93:{2,3,5,7}:{(56,1),(57,1),(60,1),(131,1),(138,1),(139,1)}
        94:{1,3,6}:{(57,1),(58,1),(139,1)}
        95:{1,2,5,6}:{(58,1),(62,1),(140,1),(239,1),(498,1)}
        96:{1,2,4,6}:{(59,1),(137,1),(141,1),(142,1),(245,1),(247,1)}
        97:{1,3,4,7}:{(59,1),(60,1),(138,1),(142,1),(233,1),(338,1)}
        98:{2,3,4,6,7}:{(60,1),(61,1),(139,1),(143,1),(144,1),(234,1),(249,1),(349,1),(357,1),(361,1),(432,1),(435,1),(437,1),(439,1)}
        99:{1,3,5,7}:{(61,1),(62,1),(140,1),(144,1),(145,1),(371,1),(491,1)}
       100:{2,3,4,6}:{(63,1),(64,1),(68,1),(128,1),(146,1),(147,1),(254,1),(443,1)}
       101:{1,3,4,5}:{(63,1),(70,1),(130,1),(146,1),(148,1),(161,1),(236,1)}
       102:{2,3,4,5,7}:{(63,1),(71,1),(131,1),(147,1),(149,1),(150,1),(178,1),(253,1),(257,1),(259,1),(286,1),(356,1),(439,1),(442,1),(500,1),(502,1)}
       103:{1,3,5,6}:{(64,1),(65,1),(146,1),(151,1),(152,1)}
       104:{2,3,5,7}:{(64,1),(66,1),(147,1),(152,1),(153,1),(440,1)}
       105:{1,4,5,7}:{(65,1),(66,1),(152,1),(154,1),(158,1),(233,1),(270,1),(340,1)}
       106:{2,4,6,7}:{(66,1),(67,1),(153,1),(154,1),(155,1),(263,1)}
       107:{1,3,5,6,7}:{(67,1),(155,1),(156,1),(160,1),(235,1),(267,1)}
       108:{1,4,6}:{(68,1),(70,1),(73,1),(158,1)}
       109:{2,4,7}:{(68,1),(69,1),(74,1),(158,1)}
       110:{1,3,4,6,7}:{(69,1),(72,1),(75,1),(159,1),(160,1),(169,1),(279,1)}
       111:{1,2,4,5}:{(70,1),(77,1),(148,1),(157,1),(161,1),(170,1)}
       112:{1,4,5,7}:{(70,1),(71,1),(78,1),(158,1),(163,1),(270,1)}
       113:{2,4,6}:{(71,1),(72,1),(79,1),(163,1),(164,1)}
       114:{1,3,5,6}:{(72,1),(160,1),(164,1),(165,1),(276,1)}
       115:{1,2,5,6}:{(73,1),(77,1),(151,1),(157,1),(166,1),(172,1)}
       116:{1,3,5,7}:{(73,1),(74,1),(158,1),(166,1),(167,1),(268,1),(270,1)}
       117:{2,3,6,7}:{(74,1),(75,1),(79,1),(159,1),(167,1),(263,1)}
       118:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(160,1),(168,1),(169,1),(424,1),(450,1),(454,1)}
       119:{1,2,3,5}:{(77,1),(81,1),(161,1),(170,1)}
       120:{1,2,5,7}:{(77,1),(78,1),(82,1),(172,1)}
       121:{1,3,6}:{(78,1),(79,1),(163,1),(172,1)}
       122:{2,3,5,6}:{(79,1),(80,1),(84,1),(164,1),(173,1),(174,1),(276,1),(374,1),(379,1)}
       123:{1,4,6}:{(80,1),(85,1),(174,1)}
       124:{1,2,3,7}:{(81,1),(82,1),(268,1)}
       125:{1,2,4,6,7}:{(82,1),(83,1),(172,1),(175,1),(176,1),(280,1),(282,1),(284,1),(376,1)}
       126:{1,3,5,7}:{(83,1),(84,1),(173,1),(176,1),(177,1),(270,1),(371,1)}
       127:{2,4,5,7}:{(84,1),(85,1),(174,1),(177,1),(178,1),(439,1),(442,1)}
       128:{2,4,6}:{(86,1),(87,1),(89,1),(179,1),(180,1)}
       129:{1,3,4,7}:{(86,1),(90,1),(180,1),(410,1),(473,1)}
       130:{1,4,5}:{(87,1),(92,1),(179,1)}
       131:{2,4,5,7}:{(87,1),(88,1),(93,1),(180,1),(183,1),(184,1),(290,1)}
       132:{1,3,4,6}:{(88,1),(94,1),(184,1),(185,1),(194,1),(304,1)}
       133:{1,3,5,6}:{(89,1),(92,1),(179,1),(186,1),(187,1),(192,1),(287,1),(295,1)}
       134:{2,3,5,7}:{(89,1),(90,1),(180,1),(187,1),(188,1),(206,1),(290,1),(308,1)}
       135:{1,3,6,7}:{(90,1),(91,1),(94,1),(188,1),(407,1)}
       136:{1,2,5,6,7}:{(91,1),(95,1),(189,1),(209,1),(290,1),(317,1),(322,1),(517,1)}
       137:{1,2,5}:{(92,1),(96,1)}
       138:{1,3,5,7}:{(92,1),(93,1),(97,1),(183,1),(191,1),(192,1)}
       139:{2,3,6}:{(93,1),(94,1),(184,1),(192,1)}
       140:{1,3,5,6}:{(94,1),(95,1),(99,1),(193,1),(194,1),(465,1),(470,1)}
       141:{1,2,3,6}:{(96,1),(190,1),(195,1),(287,1)}
       142:{1,2,4,7}:{(96,1),(97,1),(191,1),(195,1)}
       143:{1,3,4,6,7}:{(97,1),(98,1),(192,1),(196,1),(197,1),(289,1),(303,1),(383,1),(387,1),(395,1),(397,1),(459,1)}
       144:{2,3,5,7}:{(98,1),(99,1),(193,1),(197,1),(198,1),(290,1),(386,1),(403,1),(461,1)}
       145:{1,4,5,7}:{(99,1),(194,1),(198,1),(410,1),(413,1)}
       146:{1,3,4,6}:{(100,1),(101,1),(103,1),(108,1),(179,1),(199,1),(200,1),(211,1),(287,1)}
       147:{2,3,4,7}:{(100,1),(104,1),(109,1),(180,1),(200,1),(308,1),(473,1)}
       148:{2,4,5}:{(101,1),(199,1),(202,1)}
       149:{1,3,4,5,7}:{(101,1),(102,1),(112,1),(183,1),(200,1),(203,1),(204,1),(217,1),(293,1),(310,1),(337,1),(399,1),(410,1),(413,1),(459,1),(462,1),(473,1),(476,1),(521,1),(523,1)}
       150:{2,3,4,6}:{(102,1),(113,1),(184,1),(204,1),(205,1),(228,1),(304,1),(313,1),(334,1),(396,1),(404,1)}
       151:{2,5,6}:{(103,1),(199,1),(206,1)}
       152:{1,3,5,7}:{(103,1),(104,1),(105,1),(200,1),(206,1),(207,1)}
       153:{2,3,6,7}:{(104,1),(106,1),(207,1),(407,1)}
       154:{1,4,6,7}:{(105,1),(106,1),(207,1),(209,1)}
       155:{2,5,6,7}:{(106,1),(107,1),(209,1),(214,1),(290,1)}
       156:{1,4,5,6,7}:{(107,1),(210,1),(215,1),(291,1),(318,1),(409,1)}
       157:{1,2,4,6}:{(108,1),(111,1),(115,1),(199,1),(211,1),(212,1)}
       158:{1,4,7}:{(108,1),(109,1),(116,1)}
       159:{2,4,6,7}:{(109,1),(110,1),(113,1),(117,1),(213,1),(214,1)}
       160:{1,3,5,7}:{(110,1),(114,1),(214,1),(215,1),(324,1)}
       161:{1,3,5}:{(111,1),(202,1),(211,1),(216,1)}
       162:{1,2,4,5,7}:{(111,1),(112,1),(120,1),(203,1),(212,1),(217,1),(218,1),(224,1),(322,1),(331,1),(399,1),(410,1),(413,1),(472,1),(541,1),(542,1)}
       163:{1,4,6}:{(112,1),(113,1),(121,1),(219,1)}
       164:{2,5,6}:{(113,1),(114,1),(214,1),(219,1)}
       165:{1,4,5,6}:{(114,1),(123,1),(215,1),(220,1),(416,1)}
       166:{1,2,5,7}:{(115,1),(116,1),(206,1),(212,1),(221,1)}
       167:{1,3,6,7}:{(116,1),(117,1),(121,1),(213,1),(221,1)}
       168:{2,3,5,6,7}:{(117,1),(118,1),(122,1),(214,1),(222,1),(223,1),(317,1),(324,1),(400,1),(407,1),(412,1),(417,1)}
       169:{1,4,6,7}:{(118,1),(123,1),(215,1),(223,1),(459,1)}
       170:{1,2,4}:{(119,1),(216,1)}
       171:{1,2,3,5,7}:{(119,1),(120,1),(124,1),(217,1),(224,1),(225,1),(331,1),(472,1),(520,1),(544,1)}
       172:{1,2,6}:{(120,1),(121,1)}
       173:{1,3,5,6}:{(121,1),(122,1),(126,1),(219,1),(226,1),(227,1),(333,1)}
       174:{2,4,6}:{(122,1),(123,1),(127,1),(227,1),(228,1)}
       175:{1,2,3,6,7}:{(124,1),(125,1),(225,1),(229,1),(321,1),(333,1),(417,1),(517,1)}
       176:{1,2,5,7}:{(125,1),(126,1),(226,1),(331,1),(412,1)}
       177:{1,4,5,7}:{(126,1),(127,1),(227,1),(410,1),(413,1)}
       178:{3,4,5,7}:{(127,1),(228,1),(324,1),(473,1),(476,1)}
       179:{1,4,6}:{(128,1),(130,1),(133,1),(233,1)}
       180:{2,4,7}:{(128,1),(129,1),(134,1),(233,1)}
       181:{1,3,4,6,7}:{(129,1),(132,1),(135,1),(234,1),(235,1),(244,1),(349,1)}
       182:{1,2,4,5}:{(130,1),(137,1),(148,1),(232,1),(236,1),(245,1)}
       183:{1,4,5,7}:{(130,1),(131,1),(138,1),(233,1),(238,1),(340,1)}
       184:{2,4,6}:{(131,1),(132,1),(139,1),(238,1),(239,1)}
       185:{1,3,5,6}:{(132,1),(235,1),(239,1),(240,1),(346,1)}
       186:{1,2,5,6}:{(133,1),(137,1),(151,1),(232,1),(241,1),(247,1)}
       187:{1,3,5,7}:{(133,1),(134,1),(233,1),(241,1),(242,1),(338,1),(340,1)}
       188:{2,3,6,7}:{(134,1),(135,1),(139,1),(234,1),(242,1),(263,1)}
       189:{1,3,5,6,7}:{(135,1),(136,1),(140,1),(235,1),(243,1),(244,1),(368,1),(491,1),(495,1)}
       190:{1,2,3,5}:{(137,1),(141,1),(236,1),(245,1)}
       191:{1,2,5,7}:{(137,1),(138,1),(142,1),(247,1)}
       192:{1,3,6}:{(138,1),(139,1),(238,1),(247,1)}
       193:{2,3,5,6}:{(139,1),(140,1),(144,1),(239,1),(248,1),(249,1),(346,1),(430,1),(435,1)}
       194:{1,4,6}:{(140,1),(145,1),(249,1)}
       195:{1,2,3,7}:{(141,1),(142,1),(338,1)}
       196:{1,2,4,6,7}:{(142,1),(143,1),(247,1),(250,1),(251,1),(350,1),(352,1),(354,1),(432,1)}
       197:{1,3,5,7}:{(143,1),(144,1),(248,1),(251,1),(252,1),(340,1),(427,1)}
       198:{2,4,5,7}:{(144,1),(145,1),(249,1),(252,1),(253,1),(439,1),(442,1)}
       199:{2,4,6}:{(146,1),(148,1),(151,1),(254,1),(255,1)}
       200:{1,3,4,7}:{(146,1),(147,1),(152,1),(158,1),(233,1),(255,1),(268,1),(338,1)}
       201:{2,3,4,6,7}:{(147,1),(150,1),(153,1),(159,1),(234,1),(256,1),(257,1),(265,1),(279,1),(349,1),(357,1),(376,1),(432,1),(439,1),(446,1),(500,1)}
       202:{2,3,5}:{(148,1),(161,1),(236,1),(254,1),(258,1)}
       203:{2,4,5,7}:{(148,1),(149,1),(255,1),(259,1),(260,1),(358,1),(439,1),(442,1),(535,1),(536,1)}
       204:{1,3,4,6}:{(149,1),(150,1),(163,1),(238,1),(260,1),(261,1),(273,1),(343,1),(372,1),(380,1),(428,1),(436,1),(443,1)}
       205:{2,3,5,6}:{(150,1),(164,1),(239,1),(257,1),(261,1),(262,1),(276,1),(346,1),(374,1),(430,1)}
       206:{2,5,7}:{(151,1),(152,1),(255,1),(263,1)}
       207:{1,3,6,7}:{(152,1),(153,1),(154,1),(263,1)}
       208:{2,3,5,6,7}:{(153,1),(155,1),(257,1),(264,1),(265,1),(267,1),(367,1),(446,1)}
       209:{1,5,6,7}:{(154,1),(155,1),(270,1),(340,1)}
       210:{2,4,5,6,7}:{(155,1),(156,1),(265,1),(266,1),(267,1),(271,1),(341,1),(365,1),(367,1)}
       211:{1,3,6}:{(157,1),(161,1),(254,1),(268,1)}
       212:{1,2,4,7}:{(157,1),(158,1),(166,1),(255,1),(268,1)}
       213:{1,4,6,7}:{(158,1),(159,1),(163,1),(167,1),(270,1)}
       214:{2,5,7}:{(159,1),(160,1),(164,1),(270,1)}
       215:{1,4,5,7}:{(160,1),(165,1),(169,1),(271,1),(450,1)}
       216:{1,3,4}:{(161,1),(170,1),(258,1)}
       217:{1,3,5,7}:{(161,1),(162,1),(259,1),(268,1),(272,1),(273,1),(371,1),(548,1),(549,1)}
       218:{1,2,4,6}:{(162,1),(163,1),(172,1),(260,1),(273,1),(274,1),(372,1),(436,1),(498,1)}
       219:{1,5,6}:{(163,1),(164,1),(270,1)}
       220:{2,4,5,6}:{(164,1),(165,1),(174,1),(271,1),(275,1),(276,1),(374,1)}
       221:{1,2,6,7}:{(166,1),(167,1),(172,1),(263,1)}
       222:{1,3,5,6,7}:{(167,1),(168,1),(173,1),(270,1),(277,1),(278,1),(368,1),(370,1),(375,1)}
       223:{2,4,6,7}:{(168,1),(169,1),(174,1),(271,1),(278,1),(279,1),(439,1)}
       224:{1,2,4,7}:{(170,1),(171,1),(272,1),(280,1),(550,1)}
       225:{1,2,3,6}:{(171,1),(172,1),(273,1),(280,1),(498,1)}
       226:{1,2,5,6}:{(172,1),(173,1),(176,1),(282,1),(374,1)}
       227:{1,4,6}:{(173,1),(174,1),(177,1)}
       228:{3,4,6}:{(174,1),(178,1),(276,1)}
       229:{1,2,3,5,7}:{(175,1),(176,1),(281,1),(284,1),(285,1),(368,1),(449,1),(530,1),(548,1)}
       230:{1,2,4,5,7}:{(176,1),(177,1),(282,1),(284,1),(285,1),(286,1),(377,1)}
       231:{1,3,4,5,7}:{(177,1),(178,1),(283,1),(285,1),(286,1),(370,1),(448,1),(451,1)}
       232:{1,2,4,6}:{(179,1),(182,1),(186,1),(199,1),(287,1),(288,1)}
       233:{1,4,7}:{(179,1),(180,1),(187,1)}
       234:{2,4,6,7}:{(180,1),(181,1),(184,1),(188,1),(289,1),(290,1)}
       235:{1,3,5,7}:{(181,1),(185,1),(290,1),(291,1),(386,1)}
       236:{1,3,5}:{(182,1),(202,1),(287,1),(292,1)}
       237:{1,2,4,5,7}:{(182,1),(183,1),(191,1),(203,1),(288,1),(293,1),(294,1),(300,1),(337,1),(384,1),(393,1),(423,1),(459,1),(462,1),(525,1),(526,1)}
       238:{1,4,6}:{(183,1),(184,1),(192,1),(295,1)}
       239:{2,5,6}:{(184,1),(185,1),(290,1),(295,1)}
       240:{1,4,5,6}:{(185,1),(194,1),(291,1),(296,1),(465,1)}
       241:{1,2,5,7}:{(186,1),(187,1),(206,1),(288,1),(297,1)}
       242:{1,3,6,7}:{(187,1),(188,1),(192,1),(289,1),(297,1)}
       243:{2,3,5,6,7}:{(188,1),(189,1),(193,1),(290,1),(298,1),(299,1),(317,1),(386,1),(400,1),(407,1),(461,1),(466,1)}
       244:{1,4,6,7}:{(189,1),(194,1),(291,1),(299,1),(410,1)}
       245:{1,2,4}:{(190,1),(292,1)}
       246:{1,2,3,5,7}:{(190,1),(191,1),(195,1),(293,1),(300,1),(301,1),(393,1),(423,1),(488,1),(528,1)}
       247:{1,2,6}:{(191,1),(192,1)}
       248:{1,3,5,6}:{(192,1),(193,1),(197,1),(295,1),(302,1),(303,1),(395,1)}
       249:{2,4,6}:{(193,1),(194,1),(198,1),(303,1),(304,1)}
       250:{1,2,3,6,7}:{(195,1),(196,1),(301,1),(305,1),(383,1),(395,1),(466,1),(485,1)}
       251:{1,2,5,7}:{(196,1),(197,1),(302,1),(393,1),(461,1)}
       252:{1,4,5,7}:{(197,1),(198,1),(303,1),(459,1),(462,1)}
       253:{3,4,5,7}:{(198,1),(304,1),(386,1),(473,1),(476,1)}
       254:{2,3,6}:{(199,1),(202,1),(211,1),(287,1),(308,1)}
       255:{2,4,7}:{(199,1),(200,1),(206,1),(308,1)}
       256:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(207,1),(213,1),(289,1),(309,1),(310,1),(318,1),(321,1),(383,1),(407,1),(410,1),(418,1),(459,1),(467,1),(473,1),(479,1),(521,1)}
       257:{2,3,5,7}:{(201,1),(205,1),(214,1),(290,1),(310,1),(311,1),(324,1),(386,1),(412,1),(461,1)}
       258:{2,3,4}:{(202,1),(216,1),(292,1)}
       259:{2,3,5,7}:{(202,1),(203,1),(217,1),(293,1),(308,1),(312,1),(313,1),(403,1),(545,1),(546,1)}
       260:{2,4,6}:{(203,1),(204,1),(313,1),(314,1)}
       261:{1,3,5,6}:{(204,1),(205,1),(219,1),(295,1),(310,1),(314,1),(315,1),(405,1),(416,1),(465,1)}
       262:{2,4,5,6}:{(205,1),(311,1),(315,1),(316,1),(404,1)}
       263:{2,6,7}:{(206,1),(207,1)}
       264:{1,3,5,6,7}:{(207,1),(208,1),(209,1),(310,1),(317,1),(318,1),(407,1),(409,1),(479,1)}
       265:{2,4,6,7}:{(208,1),(311,1),(318,1),(319,1)}
       266:{1,4,5,6,7}:{(209,1),(210,1),(318,1),(320,1),(323,1),(385,1)}
       267:{3,5,6,7}:{(210,1),(319,1),(324,1),(386,1),(407,1)}
       268:{1,3,7}:{(211,1),(212,1),(308,1)}
       269:{1,2,4,6,7}:{(212,1),(213,1),(218,1),(221,1),(309,1),(321,1),(322,1),(410,1),(467,1),(517,1),(541,1)}
       270:{1,5,7}:{(213,1),(214,1),(219,1)}
       271:{2,4,5,7}:{(214,1),(215,1),(220,1),(223,1),(323,1),(324,1),(412,1)}
       272:{1,3,4,7}:{(216,1),(217,1),(224,1),(312,1),(325,1),(410,1),(552,1)}
       273:{1,3,6}:{(217,1),(218,1),(313,1)}
       274:{1,2,5,6}:{(218,1),(219,1),(314,1),(322,1),(326,1),(331,1),(465,1)}
       275:{1,4,5,6}:{(219,1),(220,1),(227,1),(323,1),(328,1)}
       276:{3,5,6}:{(220,1),(228,1),(324,1)}
       277:{1,2,5,6,7}:{(221,1),(222,1),(226,1),(317,1),(322,1),(329,1),(409,1),(412,1)}
       278:{1,4,6,7}:{(222,1),(223,1),(227,1),(323,1),(410,1)}
       279:{3,4,6,7}:{(223,1),(228,1),(324,1),(407,1),(473,1)}
       280:{1,2,4,6}:{(224,1),(225,1),(325,1),(331,1)}
       281:{1,2,3,5,6}:{(225,1),(226,1),(229,1),(326,1),(331,1),(332,1),(333,1),(415,1),(419,1),(516,1),(543,1),(544,1)}
       282:{1,2,4,6}:{(226,1),(227,1),(230,1),(333,1),(334,1)}
       283:{1,3,4,6}:{(227,1),(228,1),(231,1),(328,1),(333,1),(334,1)}
       284:{1,2,4,7}:{(229,1),(332,1),(335,1),(410,1),(480,1)}
       285:{1,3,5,7}:{(230,1),(333,1),(335,1),(336,1),(419,1)}
       286:{2,4,5,7}:{(231,1),(334,1),(336,1),(337,1),(412,1),(480,1),(482,1)}
       287:{1,3,6}:{(232,1),(236,1),(254,1),(338,1)}
       288:{1,2,4,7}:{(232,1),(233,1),(241,1),(255,1),(338,1)}
       289:{1,4,6,7}:{(233,1),(234,1),(238,1),(242,1),(340,1)}
       290:{2,5,7}:{(234,1),(235,1),(239,1),(340,1)}
       291:{1,4,5,7}:{(235,1),(240,1),(244,1),(341,1),(491,1)}
       292:{1,3,4}:{(236,1),(245,1),(258,1)}
       293:{1,3,5,7}:{(236,1),(237,1),(259,1),(338,1),(342,1),(343,1),(427,1),(538,1),(539,1)}
       294:{1,2,4,6}:{(237,1),(238,1),(247,1),(260,1),(343,1),(344,1),(380,1),(428,1),(457,1)}
       295:{1,5,6}:{(238,1),(239,1),(340,1)}
       296:{2,4,5,6}:{(239,1),(240,1),(249,1),(341,1),(345,1),(346,1),(430,1)}
       297:{1,2,6,7}:{(241,1),(242,1),(247,1),(263,1)}
       298:{1,3,5,6,7}:{(242,1),(243,1),(248,1),(340,1),(347,1),(348,1),(424,1),(426,1),(431,1)}
       299:{2,4,6,7}:{(243,1),(244,1),(249,1),(341,1),(348,1),(349,1),(439,1)}
       300:{1,2,4,7}:{(245,1),(246,1),(342,1),(350,1),(540,1)}
       301:{1,2,3,6}:{(246,1),(247,1),(343,1),(350,1),(457,1)}
       302:{1,2,5,6}:{(247,1),(248,1),(251,1),(352,1),(430,1)}
       303:{1,4,6}:{(248,1),(249,1),(252,1)}
       304:{3,4,6}:{(249,1),(253,1),(346,1)}
       305:{1,2,3,5,7}:{(250,1),(251,1),(351,1),(354,1),(355,1),(424,1),(490,1),(507,1),(538,1)}
       306:{1,2,4,5,7}:{(251,1),(252,1),(352,1),(354,1),(355,1),(356,1),(433,1)}
       307:{1,3,4,5,7}:{(252,1),(253,1),(353,1),(355,1),(356,1),(426,1),(489,1),(492,1)}
       308:{2,3,7}:{(254,1),(255,1),(268,1),(338,1)}
       309:{2,4,6,7}:{(255,1),(256,1),(260,1),(263,1),(357,1),(358,1),(439,1),(505,1),(535,1)}
       310:{1,3,5,7}:{(256,1),(257,1),(261,1),(270,1),(340,1),(358,1),(359,1),(440,1),(450,1),(491,1)}
       311:{2,4,5,7}:{(257,1),(262,1),(265,1),(359,1),(360,1),(439,1)}
       312:{2,3,4,7}:{(258,1),(259,1),(272,1),(342,1),(361,1),(439,1),(551,1)}
       313:{2,3,6}:{(259,1),(260,1),(273,1),(343,1)}
       314:{2,5,6}:{(260,1),(261,1),(358,1)}
       315:{1,4,5,6}:{(261,1),(262,1),(359,1),(363,1),(372,1),(428,1)}
       316:{3,4,5,6}:{(262,1),(276,1),(346,1),(360,1),(443,1)}
       317:{2,5,6,7}:{(263,1),(264,1),(358,1),(365,1),(505,1)}
       318:{1,4,6,7}:{(264,1),(265,1),(359,1),(365,1)}
       319:{3,4,6,7}:{(265,1),(267,1),(360,1)}
       320:{1,3,5,6,7}:{(266,1),(267,1),(366,1),(367,1),(370,1),(426,1)}
       321:{1,3,6,7}:{(268,1),(269,1),(273,1),(357,1),(368,1),(548,1)}
       322:{1,2,5,7}:{(269,1),(270,1),(274,1),(358,1),(368,1),(491,1)}
       323:{1,4,5,7}:{(270,1),(271,1),(275,1),(278,1),(370,1)}
       324:{3,5,7}:{(271,1),(276,1),(279,1)}
       325:{1,3,4,6}:{(272,1),(273,1),(280,1),(361,1),(371,1),(372,1)}
       326:{1,3,5,6}:{(273,1),(274,1),(362,1),(368,1),(371,1),(372,1)}
       327:{1,2,4,5,6}:{(274,1),(275,1),(282,1),(363,1),(369,1),(372,1),(373,1),(374,1),(377,1),(445,1),(452,1),(504,1),(532,1)}
       328:{1,3,5,6}:{(275,1),(276,1),(283,1),(370,1),(374,1)}
       329:{1,2,4,6,7}:{(277,1),(278,1),(282,1),(365,1),(369,1),(375,1),(376,1),(447,1),(505,1)}
       330:{1,3,4,6,7}:{(278,1),(279,1),(283,1),(370,1),(375,1),(376,1),(448,1)}
       331:{1,2,5}:{(280,1),(371,1)}
       332:{1,2,4,6}:{(281,1),(284,1),(372,1),(377,1),(378,1),(452,1),(550,1)}
       333:{1,3,6}:{(282,1),(285,1),(379,1)}
       334:{2,4,6}:{(283,1),(286,1),(374,1),(379,1),(380,1)}
       335:{1,3,4,7}:{(284,1),(285,1),(378,1),(381,1),(548,1)}
       336:{2,3,5,7}:{(285,1),(286,1),(379,1),(381,1),(382,1),(455,1)}
       337:{1,4,5,7}:{(286,1),(380,1),(382,1),(450,1),(506,1),(508,1)}
       338:{1,3,7}:{(287,1),(288,1),(308,1)}
       339:{1,2,4,6,7}:{(288,1),(289,1),(294,1),(297,1),(309,1),(383,1),(384,1),(418,1),(459,1),(485,1),(525,1)}
       340:{1,5,7}:{(289,1),(290,1),(295,1)}
       341:{2,4,5,7}:{(290,1),(291,1),(296,1),(299,1),(385,1),(386,1),(461,1)}
       342:{1,3,4,7}:{(292,1),(293,1),(300,1),(312,1),(387,1),(459,1),(547,1)}
       343:{1,3,6}:{(293,1),(294,1),(313,1)}
       344:{1,2,5,6}:{(294,1),(295,1),(314,1),(384,1),(388,1),(393,1),(416,1)}
       345:{1,4,5,6}:{(295,1),(296,1),(303,1),(385,1),(390,1)}
       346:{3,5,6}:{(296,1),(304,1),(386,1)}
       347:{1,2,5,6,7}:{(297,1),(298,1),(302,1),(317,1),(384,1),(391,1),(409,1),(461,1)}
       348:{1,4,6,7}:{(298,1),(299,1),(303,1),(385,1),(459,1)}
       349:{3,4,6,7}:{(299,1),(304,1),(386,1),(407,1),(473,1)}
       350:{1,2,4,6}:{(300,1),(301,1),(387,1),(393,1)}
       351:{1,2,3,5,6}:{(301,1),(302,1),(305,1),(388,1),(393,1),(394,1),(395,1),(464,1),(468,1),(484,1),(527,1),(528,1)}
       352:{1,2,4,6}:{(302,1),(303,1),(306,1),(395,1),(396,1)}
       353:{1,3,4,6}:{(303,1),(304,1),(307,1),(390,1),(395,1),(396,1)}
       354:{1,2,4,7}:{(305,1),(394,1),(397,1),(459,1),(512,1)}
       355:{1,3,5,7}:{(306,1),(395,1),(397,1),(398,1),(468,1)}
       356:{2,4,5,7}:{(307,1),(396,1),(398,1),(399,1),(461,1),(512,1),(514,1)}
       357:{2,3,6,7}:{(308,1),(309,1),(313,1),(321,1),(383,1),(400,1),(407,1),(545,1)}
       358:{2,5,7}:{(309,1),(310,1),(314,1)}
       359:{1,4,5,7}:{(310,1),(311,1),(315,1),(318,1),(401,1),(410,1),(459,1)}
       360:{3,4,5,7}:{(311,1),(316,1),(319,1),(324,1),(386,1),(473,1)}
       361:{2,3,4,6}:{(312,1),(313,1),(325,1),(387,1),(403,1),(404,1)}
       362:{2,3,5,6}:{(313,1),(314,1),(326,1),(388,1),(400,1),(403,1),(404,1),(405,1)}
       363:{2,4,5,6}:{(314,1),(315,1),(401,1),(404,1),(405,1)}
       364:{1,3,4,5,6}:{(315,1),(316,1),(328,1),(390,1),(402,1),(405,1),(406,1),(414,1),(463,1),(478,1)}
       365:{2,4,6,7}:{(317,1),(318,1),(401,1),(407,1)}
       366:{1,3,4,6,7}:{(318,1),(319,1),(320,1),(402,1),(407,1),(408,1),(479,1)}
       367:{2,5,6,7}:{(320,1),(408,1),(409,1),(412,1),(461,1)}
       368:{1,3,5,7}:{(321,1),(322,1),(326,1),(400,1),(410,1)}
       369:{1,2,4,5,7}:{(322,1),(323,1),(327,1),(329,1),(401,1),(410,1),(411,1),(412,1),(475,1),(480,1),(522,1),(541,1)}
       370:{1,3,5,7}:{(323,1),(324,1),(328,1),(330,1),(412,1)}
       371:{1,3,5}:{(325,1),(331,1),(403,1),(413,1)}
       372:{1,4,6}:{(326,1),(404,1),(410,1),(413,1)}
       373:{1,3,5,6}:{(327,1),(333,1),(405,1),(411,1),(414,1),(415,1),(419,1),(543,1)}
       374:{2,5,6}:{(328,1),(334,1),(412,1),(416,1)}
       375:{1,3,6,7}:{(329,1),(333,1),(407,1),(411,1),(417,1)}
       376:{2,4,6,7}:{(330,1),(334,1),(412,1),(417,1),(418,1),(480,1)}
       377:{1,2,4,5}:{(331,1),(332,1),(413,1),(419,1),(482,1)}
       378:{1,3,4,6}:{(332,1),(333,1),(335,1),(419,1),(420,1),(543,1),(552,1)}
       379:{2,3,6}:{(333,1),(334,1),(336,1),(421,1)}
       380:{1,4,6}:{(334,1),(337,1),(416,1),(421,1)}
       381:{2,3,4,7}:{(335,1),(336,1),(420,1),(422,1),(480,1),(545,1)}
       382:{1,3,5,7}:{(336,1),(337,1),(421,1),(422,1),(423,1),(486,1)}
       383:{1,3,6,7}:{(338,1),(339,1),(343,1),(357,1),(424,1),(538,1)}
       384:{1,2,5,7}:{(339,1),(340,1),(344,1),(358,1),(424,1),(450,1)}
       385:{1,4,5,7}:{(340,1),(341,1),(345,1),(348,1),(426,1)}
       386:{3,5,7}:{(341,1),(346,1),(349,1)}
       387:{1,3,4,6}:{(342,1),(343,1),(350,1),(361,1),(427,1),(428,1)}
       388:{1,3,5,6}:{(343,1),(344,1),(362,1),(424,1),(427,1),(428,1)}
       389:{1,2,4,5,6}:{(344,1),(345,1),(352,1),(363,1),(425,1),(428,1),(429,1),(430,1),(433,1),(445,1),(493,1),(504,1),(509,1)}
       390:{1,3,5,6}:{(345,1),(346,1),(353,1),(426,1),(430,1)}
       391:{1,2,4,6,7}:{(347,1),(348,1),(352,1),(365,1),(425,1),(431,1),(432,1),(447,1),(505,1)}
       392:{1,3,4,6,7}:{(348,1),(349,1),(353,1),(426,1),(431,1),(432,1),(489,1)}
       393:{1,2,5}:{(350,1),(427,1)}
       394:{1,2,4,6}:{(351,1),(354,1),(428,1),(433,1),(434,1),(493,1),(540,1)}
       395:{1,3,6}:{(352,1),(355,1),(435,1)}
       396:{2,4,6}:{(353,1),(356,1),(430,1),(435,1),(436,1)}
       397:{1,3,4,7}:{(354,1),(355,1),(434,1),(437,1),(538,1)}
       398:{2,3,5,7}:{(355,1),(356,1),(435,1),(437,1),(438,1),(496,1)}
       399:{1,4,5,7}:{(356,1),(436,1),(438,1),(491,1),(529,1),(531,1)}
       400:{2,3,5,7}:{(357,1),(358,1),(362,1),(368,1),(424,1),(439,1),(440,1)}
       401:{2,4,5,7}:{(358,1),(359,1),(363,1),(365,1),(439,1),(440,1)}
       402:{1,3,4,5,7}:{(359,1),(360,1),(364,1),(366,1),(370,1),(426,1),(440,1),(441,1),(448,1),(489,1),(501,1)}
       403:{2,3,5}:{(361,1),(371,1),(427,1),(442,1)}
       404:{2,4,6}:{(362,1),(372,1),(428,1),(439,1),(442,1),(443,1)}
       405:{3,5,6}:{(363,1),(440,1),(443,1)}
       406:{2,4,5,6}:{(364,1),(374,1),(430,1),(441,1),(444,1),(445,1),(452,1),(493,1),(504,1)}
       407:{3,6,7}:{(365,1),(440,1)}
       408:{2,4,6,7}:{(366,1),(367,1),(441,1),(446,1),(447,1),(505,1)}
       409:{1,5,6,7}:{(367,1),(447,1),(450,1),(491,1)}
       410:{1,4,7}:{(368,1),(372,1),(439,1)}
       411:{1,3,5,7}:{(369,1),(373,1),(375,1),(440,1),(448,1),(449,1),(548,1)}
       412:{2,5,7}:{(370,1),(374,1),(376,1),(450,1)}
       413:{1,4,5}:{(371,1),(372,1),(442,1)}
       414:{1,3,4,6}:{(372,1),(373,1),(443,1),(448,1),(451,1),(452,1)}
       415:{2,3,5,6}:{(373,1),(374,1),(379,1),(449,1),(452,1),(453,1),(455,1),(504,1),(537,1)}
       416:{1,5,6}:{(374,1),(380,1),(450,1)}
       417:{2,3,6,7}:{(375,1),(376,1),(379,1),(449,1),(454,1),(505,1)}
       418:{1,4,6,7}:{(376,1),(380,1),(450,1),(454,1),(506,1)}
       419:{1,3,5}:{(377,1),(378,1),(455,1)}
       420:{2,3,4,6}:{(378,1),(379,1),(381,1),(452,1),(455,1),(456,1),(537,1),(551,1)}
       421:{1,3,6}:{(379,1),(380,1),(382,1),(457,1)}
       422:{1,3,4,7}:{(381,1),(382,1),(456,1),(458,1),(506,1),(538,1)}
       423:{1,2,5,7}:{(382,1),(457,1),(458,1),(510,1)}
       424:{1,3,5,7}:{(383,1),(384,1),(388,1),(400,1),(459,1)}
       425:{1,2,4,5,7}:{(384,1),(385,1),(389,1),(391,1),(401,1),(459,1),(460,1),(461,1),(475,1),(512,1),(522,1),(525,1)}
       426:{1,3,5,7}:{(385,1),(386,1),(390,1),(392,1),(461,1)}
       427:{1,3,5}:{(387,1),(393,1),(403,1),(462,1)}
       428:{1,4,6}:{(388,1),(404,1),(459,1),(462,1)}
       429:{1,3,5,6}:{(389,1),(395,1),(405,1),(460,1),(463,1),(464,1),(468,1),(527,1)}
       430:{2,5,6}:{(390,1),(396,1),(461,1),(465,1)}
       431:{1,3,6,7}:{(391,1),(395,1),(407,1),(460,1),(466,1)}
       432:{2,4,6,7}:{(392,1),(396,1),(461,1),(466,1),(467,1),(512,1)}
       433:{1,2,4,5}:{(393,1),(394,1),(462,1),(468,1),(514,1)}
       434:{1,3,4,6}:{(394,1),(395,1),(397,1),(468,1),(469,1),(527,1),(547,1)}
       435:{2,3,6}:{(395,1),(396,1),(398,1),(470,1)}
       436:{1,4,6}:{(396,1),(399,1),(465,1),(470,1)}
       437:{2,3,4,7}:{(397,1),(398,1),(469,1),(471,1),(512,1),(545,1)}
       438:{1,3,5,7}:{(398,1),(399,1),(470,1),(471,1),(472,1),(518,1)}
       439:{2,4,7}:{(400,1),(404,1),(410,1),(459,1),(473,1)}
       440:{3,5,7}:{(401,1),(405,1),(407,1),(473,1)}
       441:{2,4,5,7}:{(402,1),(406,1),(408,1),(412,1),(461,1),(474,1),(475,1),(480,1),(512,1),(522,1)}
       442:{2,4,5}:{(403,1),(404,1),(413,1),(462,1),(476,1)}
       443:{3,4,6}:{(404,1),(405,1),(473,1),(476,1)}
       444:{2,3,5,6}:{(405,1),(406,1),(474,1),(477,1),(478,1)}
       445:{1,4,5,6}:{(406,1),(416,1),(465,1),(475,1),(478,1),(483,1),(515,1)}
       446:{2,3,6,7}:{(407,1),(408,1),(474,1),(479,1)}
       447:{1,4,6,7}:{(408,1),(409,1),(475,1),(479,1)}
       448:{1,3,4,7}:{(410,1),(411,1),(414,1),(473,1),(480,1)}
       449:{2,3,5,7}:{(411,1),(412,1),(415,1),(417,1),(480,1),(481,1),(522,1),(545,1)}
       450:{1,5,7}:{(412,1),(416,1),(418,1)}
       451:{1,3,4,5}:{(413,1),(414,1),(419,1),(476,1),(482,1)}
       452:{2,4,6}:{(414,1),(415,1),(480,1),(482,1),(483,1)}
       453:{1,3,5,6}:{(415,1),(416,1),(421,1),(481,1),(483,1),(484,1),(486,1),(527,1)}
       454:{1,3,6,7}:{(417,1),(418,1),(421,1),(481,1),(485,1)}
       455:{2,3,5}:{(419,1),(420,1),(482,1),(486,1)}
       456:{1,3,4,6}:{(420,1),(421,1),(422,1),(483,1),(486,1),(487,1),(527,1),(547,1)}
       457:{1,2,6}:{(421,1),(423,1)}
       458:{1,2,4,7}:{(422,1),(423,1),(487,1),(488,1)}
       459:{1,4,7}:{(424,1),(428,1),(439,1)}
       460:{1,3,5,7}:{(425,1),(429,1),(431,1),(440,1),(489,1),(490,1),(538,1)}
       461:{2,5,7}:{(426,1),(430,1),(432,1),(491,1)}
       462:{1,4,5}:{(427,1),(428,1),(442,1)}
       463:{1,3,4,6}:{(428,1),(429,1),(443,1),(489,1),(492,1),(493,1)}
       464:{2,3,5,6}:{(429,1),(430,1),(435,1),(490,1),(493,1),(494,1),(496,1),(504,1),(537,1)}
       465:{1,5,6}:{(430,1),(436,1),(491,1)}
       466:{2,3,6,7}:{(431,1),(432,1),(435,1),(490,1),(495,1),(505,1)}
       467:{1,4,6,7}:{(432,1),(436,1),(491,1),(495,1),(529,1)}
       468:{1,3,5}:{(433,1),(434,1),(496,1)}
       469:{2,3,4,6}:{(434,1),(435,1),(437,1),(493,1),(496,1),(497,1),(537,1),(551,1)}
       470:{1,3,6}:{(435,1),(436,1),(438,1),(498,1)}
       471:{1,3,4,7}:{(437,1),(438,1),(497,1),(499,1),(529,1),(548,1)}
       472:{1,2,5,7}:{(438,1),(498,1),(499,1),(533,1)}
       473:{3,4,7}:{(439,1),(440,1),(443,1)}
       474:{2,3,5,7}:{(440,1),(441,1),(444,1),(446,1),(500,1),(501,1)}
       475:{1,4,5,7}:{(441,1),(445,1),(447,1),(450,1),(491,1),(501,1),(506,1),(529,1)}
       476:{3,4,5}:{(442,1),(443,1)}
       477:{2,3,4,6}:{(443,1),(444,1),(452,1),(493,1),(500,1),(502,1),(503,1),(537,1)}
       478:{1,3,5,6}:{(444,1),(445,1),(501,1),(503,1),(504,1)}
       479:{1,3,6,7}:{(446,1),(447,1),(501,1),(505,1)}
       480:{2,4,7}:{(448,1),(449,1),(452,1),(506,1)}
       481:{1,3,5,7}:{(449,1),(450,1),(453,1),(454,1),(506,1),(507,1),(538,1)}
       482:{2,4,5}:{(451,1),(452,1),(455,1),(508,1)}
       483:{1,4,6}:{(452,1),(453,1),(506,1),(508,1)}
       484:{1,2,5,6}:{(453,1),(457,1),(504,1),(507,1),(509,1),(510,1)}
       485:{1,2,6,7}:{(454,1),(457,1),(505,1),(507,1)}
       486:{1,3,5}:{(455,1),(456,1),(508,1),(510,1)}
       487:{1,2,4,6}:{(456,1),(457,1),(458,1),(510,1),(511,1),(540,1)}
       488:{1,2,3,7}:{(458,1),(511,1),(538,1)}
       489:{1,3,4,7}:{(459,1),(460,1),(463,1),(473,1),(512,1)}
       490:{2,3,5,7}:{(460,1),(461,1),(464,1),(466,1),(512,1),(513,1),(522,1),(545,1)}
       491:{1,5,7}:{(461,1),(465,1),(467,1)}
       492:{1,3,4,5}:{(462,1),(463,1),(468,1),(476,1),(514,1)}
       493:{2,4,6}:{(463,1),(464,1),(512,1),(514,1),(515,1)}
       494:{1,3,5,6}:{(464,1),(465,1),(470,1),(513,1),(515,1),(516,1),(518,1),(543,1)}
       495:{1,3,6,7}:{(466,1),(467,1),(470,1),(513,1),(517,1)}
       496:{2,3,5}:{(468,1),(469,1),(514,1),(518,1)}
       497:{1,3,4,6}:{(469,1),(470,1),(471,1),(515,1),(518,1),(519,1),(543,1),(552,1)}
       498:{1,2,6}:{(470,1),(472,1)}
       499:{1,2,4,7}:{(471,1),(472,1),(519,1),(520,1)}
       500:{2,3,4,7}:{(473,1),(474,1),(477,1),(480,1),(512,1),(521,1),(545,1)}
       501:{1,3,5,7}:{(474,1),(475,1),(478,1),(479,1),(521,1),(522,1)}
       502:{2,3,4,5}:{(476,1),(477,1),(482,1),(514,1),(523,1),(546,1)}
       503:{1,3,4,6}:{(477,1),(478,1),(483,1),(515,1),(521,1),(523,1),(524,1),(527,1),(543,1)}
       504:{2,5,6}:{(478,1),(522,1),(524,1)}
       505:{2,6,7}:{(479,1),(522,1)}
       506:{1,4,7}:{(480,1),(481,1),(483,1)}
       507:{1,2,5,7}:{(481,1),(484,1),(485,1),(522,1),(525,1)}
       508:{1,4,5}:{(482,1),(483,1),(486,1)}
       509:{1,2,4,6}:{(483,1),(484,1),(524,1),(525,1),(526,1),(527,1)}
       510:{1,2,5}:{(486,1),(487,1)}
       511:{1,2,3,6}:{(487,1),(488,1),(527,1),(528,1)}
       512:{2,4,7}:{(489,1),(490,1),(493,1),(529,1)}
       513:{1,3,5,7}:{(490,1),(491,1),(494,1),(495,1),(529,1),(530,1),(548,1)}
       514:{2,4,5}:{(492,1),(493,1),(496,1),(531,1)}
       515:{1,4,6}:{(493,1),(494,1),(529,1),(531,1)}
       516:{1,2,5,6}:{(494,1),(498,1),(504,1),(530,1),(532,1),(533,1)}
       517:{1,2,6,7}:{(495,1),(498,1),(505,1),(530,1)}
       518:{1,3,5}:{(496,1),(497,1),(531,1),(533,1)}
       519:{1,2,4,6}:{(497,1),(498,1),(499,1),(533,1),(534,1),(550,1)}
       520:{1,2,3,7}:{(499,1),(534,1),(548,1)}
       521:{1,3,4,7}:{(500,1),(501,1),(503,1),(506,1),(529,1),(535,1),(538,1),(548,1)}
       522:{2,5,7}:{(501,1),(504,1),(505,1),(535,1)}
       523:{1,3,4,5}:{(502,1),(503,1),(508,1),(531,1),(536,1),(539,1),(549,1)}
       524:{2,4,6}:{(503,1),(504,1),(535,1),(536,1),(537,1)}
       525:{1,2,4,7}:{(506,1),(507,1),(509,1),(535,1),(538,1)}
       526:{1,2,4,5}:{(508,1),(509,1),(510,1),(536,1),(539,1),(540,1)}
       527:{1,3,6}:{(509,1),(537,1),(538,1),(539,1)}
       528:{1,2,3,5}:{(510,1),(511,1),(539,1),(540,1)}
       529:{1,4,7}:{(512,1),(513,1),(515,1)}
       530:{1,2,5,7}:{(513,1),(516,1),(517,1),(522,1),(541,1)}
       531:{1,4,5}:{(514,1),(515,1),(518,1)}
       532:{1,2,4,6}:{(515,1),(516,1),(524,1),(541,1),(542,1),(543,1)}
       533:{1,2,5}:{(518,1),(519,1)}
       534:{1,2,3,6}:{(519,1),(520,1),(543,1),(544,1)}
       535:{2,4,7}:{(521,1),(522,1),(524,1),(545,1)}
       536:{2,4,5}:{(523,1),(524,1),(546,1)}
       537:{2,3,6}:{(524,1),(527,1),(543,1),(545,1),(546,1)}
       538:{1,3,7}:{(525,1),(527,1),(545,1)}
       539:{1,3,5}:{(526,1),(527,1),(546,1),(547,1)}
       540:{1,2,4}:{(528,1),(547,1)}
       541:{1,2,4,7}:{(529,1),(530,1),(532,1),(535,1),(548,1)}
       542:{1,2,4,5}:{(531,1),(532,1),(533,1),(536,1),(549,1),(550,1)}
       543:{1,3,6}:{(532,1),(537,1),(548,1),(549,1)}
       544:{1,2,3,5}:{(533,1),(534,1),(549,1),(550,1)}
       545:{2,3,7}:{(535,1),(537,1),(538,1),(548,1)}
       546:{2,3,5}:{(536,1),(537,1),(539,1),(549,1),(551,1)}
       547:{1,3,4}:{(539,1),(540,1),(551,1)}
       548:{1,3,7}:{(541,1),(543,1),(545,1)}
       549:{1,3,5}:{(542,1),(543,1),(546,1),(552,1)}
       550:{1,2,4}:{(544,1),(552,1)}
       551:{2,3,4}:{(546,1),(547,1),(552,1)}
       552:{1,3,4}:{(549,1),(550,1),(551,1)}

2201 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2202 :   0:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(24,1),(283,1),(284,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(87,1),(161,1),(162,1),(164,1),(176,1),(234,1),(251,1)}
         2:{1,2,4,7}:{(0,1),(7,1),(10,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(39,1),(322,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(47,1),(52,1),(226,1),(227,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(19,1),(47,1),(59,1),(67,1),(111,1),(123,1),(135,1),(191,1),(206,1),(208,1),(220,1),(277,1),(294,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(55,1),(122,1),(204,1),(219,1),(276,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(19,1),(20,1),(135,1),(353,1)}
         8:{1,2,3,6,7}:{(3,1),(21,1),(22,1),(65,1),(139,1),(224,1),(284,1),(354,1),(355,1),(391,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(19,1),(23,1),(24,1),(67,1),(71,1),(135,1),(277,1),(280,1),(283,1),(351,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(20,1),(24,1)}
        11:{1,2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(66,1),(68,1),(73,1),(139,1),(143,1),(286,1),(287,1),(352,1),(355,1),(390,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(26,1),(29,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(29,1),(76,1),(269,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(162,1),(335,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(87,1),(88,1),(162,1),(253,1),(333,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(39,1),(76,1),(98,1),(149,1),(163,1),(263,1),(316,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(85,1),(93,1),(162,1),(248,1),(251,1),(255,1),(262,1),(315,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(247,1),(261,1),(314,1)}
        19:{1,3,5,7}:{(7,1),(9,1),(31,1),(39,1),(40,1),(320,1),(377,1)}
        20:{1,3,4,6}:{(7,1),(10,1),(32,1),(39,1),(40,1),(98,1)}
        21:{1,2,4,6,7}:{(8,1),(10,1),(38,1),(41,1),(42,1),(101,1),(241,1),(262,1),(322,1),(378,1)}
        22:{1,2,3,5,7}:{(8,1),(11,1),(41,1),(42,1),(97,1),(102,1),(184,1),(324,1),(377,1),(402,1)}
        23:{1,2,4,6}:{(9,1),(33,1),(39,1),(44,1),(98,1),(316,1),(322,1)}
        24:{1,2,5}:{(10,1),(40,1)}
        25:{1,2,4,6}:{(11,1),(42,1),(45,1),(46,1),(98,1),(178,1),(325,1),(403,1)}
        26:{1,3,4,7}:{(12,1),(14,1),(47,1),(48,1),(191,1),(309,1)}
        27:{1,2,3,6,7}:{(13,1),(49,1),(50,1),(109,1),(195,1),(227,1),(281,1),(310,1),(311,1),(369,1)}
        28:{1,2,4,5,7}:{(12,1),(15,1),(47,1),(51,1),(52,1),(111,1),(115,1),(191,1),(220,1),(223,1),(226,1),(307,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(48,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(50,1),(52,1),(53,1),(110,1),(112,1),(117,1),(195,1),(199,1),(229,1),(230,1),(308,1),(311,1),(368,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(19,1),(47,1),(55,1),(56,1),(296,1),(364,1)}
        32:{2,3,4,6}:{(14,1),(20,1),(48,1),(55,1),(56,1),(122,1)}
        33:{2,4,6}:{(15,1),(16,1),(55,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(57,1),(59,1),(65,1),(109,1),(127,1),(135,1),(191,1),(206,1),(210,1),(294,1),(299,1),(304,1),(348,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(58,1),(59,1),(60,1),(126,1),(303,1),(347,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(59,1),(62,1),(289,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(60,1),(62,1),(63,1),(122,1)}
        38:{1,3,4,6,7}:{(20,1),(21,1),(54,1),(64,1),(65,1),(70,1),(133,1),(135,1),(139,1),(197,1),(282,1),(348,1),(391,1),(392,1),(409,1)}
        39:{1,3,6}:{(19,1),(23,1),(55,1)}
        40:{1,3,5}:{(20,1),(24,1),(56,1),(67,1)}
        41:{1,2,5,7}:{(21,1),(24,1),(64,1),(68,1),(302,1),(393,1)}
        42:{1,2,4,7}:{(22,1),(25,1),(70,1),(135,1),(221,1),(409,1)}
        43:{1,2,4,6,7}:{(23,1),(57,1),(65,1),(71,1),(135,1),(348,1),(351,1),(354,1)}
        44:{1,2,5,6}:{(23,1),(24,1),(58,1),(66,1),(71,1),(347,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(67,1),(73,1),(137,1),(393,1),(410,1)}
        46:{1,3,4,6}:{(25,1),(70,1),(73,1),(74,1),(139,1),(352,1),(353,1)}
        47:{1,3,5,7}:{(26,1),(28,1),(31,1),(76,1),(77,1),(267,1),(344,1)}
        48:{1,3,4,6}:{(26,1),(29,1),(32,1),(76,1),(77,1),(149,1)}
        49:{1,2,4,6,7}:{(27,1),(29,1),(75,1),(78,1),(79,1),(152,1),(183,1),(269,1),(315,1),(345,1)}
        50:{1,2,3,5,7}:{(27,1),(30,1),(78,1),(79,1),(148,1),(153,1),(242,1),(271,1),(344,1),(386,1)}
        51:{1,2,4,6}:{(28,1),(33,1),(76,1),(81,1),(149,1),(263,1),(269,1)}
        52:{1,2,5}:{(29,1),(77,1)}
        53:{1,2,4,6}:{(30,1),(79,1),(82,1),(83,1),(149,1),(236,1),(272,1),(387,1)}
        54:{2,3,4,6,7}:{(32,1),(38,1),(75,1),(84,1),(85,1),(103,1),(154,1),(160,1),(162,1),(181,1),(239,1),(248,1),(262,1),(315,1),(383,1),(384,1),(407,1)}
        55:{2,3,6}:{(31,1),(33,1),(39,1),(76,1)}
        56:{2,3,5}:{(32,1),(40,1),(77,1),(87,1)}
        57:{2,4,6,7}:{(33,1),(34,1),(85,1),(88,1),(162,1),(333,1),(338,1)}
        58:{2,5,6}:{(33,1),(35,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(36,1),(88,1),(91,1),(166,1),(339,1),(372,1)}
        60:{1,4,5,6}:{(35,1),(37,1),(89,1),(91,1),(98,1),(149,1)}
        61:{2,3,5,6,7}:{(36,1),(90,1),(93,1),(172,1),(255,1),(258,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(91,1),(93,1),(94,1),(162,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(163,1),(247,1)}
        64:{1,3,5,7}:{(38,1),(40,1),(41,1),(84,1),(95,1),(96,1),(372,1),(404,1)}
        65:{1,3,6,7}:{(39,1),(43,1),(85,1),(97,1),(377,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(44,1),(86,1),(97,1),(98,1)}
        67:{1,4,5}:{(40,1),(87,1),(98,1)}
        68:{1,2,5,6}:{(41,1),(95,1),(101,1),(261,1),(322,1)}
        69:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(96,1),(101,1),(102,1),(176,1)}
        70:{1,3,4,7}:{(42,1),(46,1),(102,1),(103,1),(377,1)}
        71:{1,2,5,7}:{(43,1),(44,1),(88,1),(97,1),(372,1)}
        72:{1,2,4,5,6}:{(44,1),(45,1),(89,1),(98,1),(101,1),(104,1),(105,1),(171,1),(173,1),(178,1),(257,1),(261,1),(319,1),(373,1),(380,1),(403,1)}
        73:{1,3,5}:{(45,1),(46,1),(106,1)}
        74:{2,3,4,6}:{(46,1),(103,1),(106,1),(107,1),(178,1),(181,1),(334,1),(335,1)}
        75:{1,3,4,6,7}:{(48,1),(49,1),(54,1),(108,1),(109,1),(114,1),(141,1),(189,1),(191,1),(195,1),(225,1),(304,1),(369,1),(370,1),(400,1)}
        76:{1,3,6}:{(47,1),(51,1),(55,1)}
        77:{1,3,5}:{(48,1),(52,1),(56,1),(111,1)}
        78:{1,2,5,7}:{(49,1),(52,1),(108,1),(112,1),(346,1),(371,1)}
        79:{1,2,4,7}:{(50,1),(53,1),(114,1),(191,1),(278,1),(400,1)}
        80:{1,2,4,6,7}:{(51,1),(57,1),(109,1),(115,1),(191,1),(304,1),(307,1),(310,1)}
        81:{1,2,5,6}:{(51,1),(52,1),(58,1),(110,1),(115,1),(303,1)}
        82:{1,2,4,5}:{(52,1),(53,1),(111,1),(117,1),(193,1),(371,1),(401,1)}
        83:{1,3,4,6}:{(53,1),(114,1),(117,1),(118,1),(195,1),(308,1),(309,1)}
        84:{2,3,5,7}:{(54,1),(56,1),(64,1),(108,1),(119,1),(120,1),(289,1),(302,1),(346,1),(398,1)}
        85:{2,3,6,7}:{(55,1),(57,1),(65,1),(109,1),(121,1),(210,1),(364,1)}
        86:{2,3,5,6}:{(55,1),(56,1),(58,1),(66,1),(110,1),(121,1),(122,1),(126,1)}
        87:{2,4,5}:{(56,1),(67,1),(111,1),(122,1),(123,1)}
        88:{2,5,7}:{(57,1),(58,1),(59,1)}
        89:{2,4,5,6}:{(58,1),(60,1),(122,1),(125,1),(126,1)}
        90:{1,3,5,6,7}:{(59,1),(61,1),(124,1),(127,1),(210,1),(299,1),(301,1)}
        91:{1,4,5,7}:{(59,1),(60,1),(62,1),(125,1),(127,1),(135,1),(191,1)}
        92:{1,3,4,5,6}:{(60,1),(63,1),(126,1),(128,1),(129,1),(136,1),(192,1),(212,1),(217,1),(274,1),(288,1),(358,1),(395,1)}
        93:{2,4,6,7}:{(61,1),(62,1),(127,1),(131,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(131,1),(206,1),(289,1)}
        95:{1,3,5,6}:{(64,1),(68,1),(119,1),(133,1),(139,1),(282,1),(347,1)}
        96:{1,4,5,7}:{(64,1),(67,1),(120,1),(133,1),(135,1),(409,1),(410,1)}
        97:{1,3,5,7}:{(65,1),(66,1),(71,1),(121,1),(135,1)}
        98:{1,4,6}:{(66,1),(67,1),(122,1),(135,1)}
        99:{1,3,4,5}:{(67,1),(73,1),(123,1),(136,1),(137,1),(410,1),(412,1)}
       100:{1,2,5,6,7}:{(68,1),(71,1),(124,1),(132,1),(138,1),(301,1),(302,1),(354,1),(366,1),(389,1)}
       101:{1,2,4,6}:{(68,1),(69,1),(133,1),(139,1),(219,1)}
       102:{1,3,5,7}:{(69,1),(70,1),(73,1),(139,1),(140,1)}
       103:{2,3,4,7}:{(70,1),(74,1),(140,1),(141,1),(221,1),(364,1)}
       104:{1,2,4,5,7}:{(71,1),(72,1),(125,1),(135,1),(138,1),(142,1),(215,1),(216,1),(221,1),(300,1),(302,1),(351,1),(389,1),(394,1),(409,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(126,1),(136,1),(139,1),(142,1),(143,1),(352,1),(395,1)}
       106:{2,3,5}:{(73,1),(74,1),(137,1),(144,1)}
       107:{1,3,4,6}:{(74,1),(141,1),(144,1),(145,1),(222,1),(225,1),(308,1),(309,1)}
       108:{1,3,5,7}:{(75,1),(77,1),(78,1),(84,1),(146,1),(147,1),(339,1),(388,1)}
       109:{1,3,6,7}:{(76,1),(80,1),(85,1),(148,1),(344,1)}
       110:{1,3,5,6}:{(76,1),(77,1),(81,1),(86,1),(148,1),(149,1)}
       111:{1,4,5}:{(77,1),(87,1),(149,1)}
       112:{1,2,5,6}:{(78,1),(146,1),(152,1),(269,1),(314,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(147,1),(152,1),(153,1),(234,1)}
       114:{1,3,4,7}:{(79,1),(83,1),(153,1),(154,1),(344,1)}
       115:{1,2,5,7}:{(80,1),(81,1),(88,1),(148,1),(339,1)}
       116:{1,2,4,5,6}:{(81,1),(82,1),(89,1),(149,1),(152,1),(155,1),(156,1),(171,1),(231,1),(236,1),(257,1),(266,1),(314,1),(340,1),(380,1),(387,1)}
       117:{1,3,5}:{(82,1),(83,1),(157,1)}
       118:{2,3,4,6}:{(83,1),(154,1),(157,1),(158,1),(236,1),(239,1),(334,1),(335,1)}
       119:{2,3,5,6}:{(84,1),(95,1),(146,1),(160,1),(181,1),(239,1),(247,1),(261,1),(314,1)}
       120:{2,4,5,7}:{(84,1),(87,1),(96,1),(147,1),(160,1),(161,1),(162,1),(407,1),(408,1)}
       121:{2,3,5,7}:{(85,1),(86,1),(88,1),(97,1),(148,1),(162,1),(166,1)}
       122:{2,4,6}:{(86,1),(87,1),(98,1),(149,1),(162,1),(163,1)}
       123:{3,4,5}:{(87,1),(163,1)}
       124:{2,5,6,7}:{(88,1),(90,1),(165,1),(338,1)}
       125:{2,4,5,7}:{(88,1),(89,1),(91,1),(162,1),(165,1),(166,1)}
       126:{3,5,6}:{(89,1),(163,1),(166,1)}
       127:{1,4,6,7}:{(90,1),(91,1),(93,1),(165,1)}
       128:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(166,1),(169,1),(170,1),(177,1),(235,1),(256,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       129:{2,4,5,6}:{(92,1),(167,1),(170,1),(171,1),(178,1),(236,1),(257,1),(261,1),(314,1)}
       130:{2,4,5,6,7}:{(93,1),(168,1),(172,1),(246,1),(258,1),(385,1)}
       131:{3,4,6,7}:{(93,1),(94,1),(172,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(100,1),(159,1),(174,1),(180,1),(260,1),(321,1),(372,1),(402,1)}
       133:{1,4,6}:{(95,1),(96,1),(160,1)}
       134:{1,3,4,5,7}:{(96,1),(99,1),(102,1),(161,1),(175,1),(176,1),(177,1),(260,1)}
       135:{1,4,7}:{(97,1),(98,1),(162,1)}
       136:{1,3,4,6}:{(98,1),(99,1),(105,1),(163,1),(177,1),(178,1),(403,1),(406,1)}
       137:{2,4,5}:{(99,1),(106,1),(178,1),(179,1)}
       138:{1,2,4,6,7}:{(100,1),(101,1),(104,1),(165,1),(174,1),(180,1),(259,1),(262,1),(338,1),(385,1)}
       139:{1,3,6}:{(101,1),(102,1),(181,1)}
       140:{2,3,5,7}:{(102,1),(103,1),(106,1),(176,1),(181,1),(182,1)}
       141:{1,3,4,7}:{(103,1),(107,1),(182,1),(183,1),(265,1),(344,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(166,1),(177,1),(180,1),(184,1),(377,1),(405,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(178,1),(181,1),(184,1),(185,1),(257,1),(261,1),(334,1)}
       144:{1,3,5}:{(106,1),(107,1),(179,1),(186,1)}
       145:{1,2,4,6}:{(107,1),(183,1),(186,1),(187,1),(269,1),(272,1)}
       146:{1,3,5,6}:{(108,1),(112,1),(119,1),(189,1),(195,1),(225,1),(303,1)}
       147:{1,4,5,7}:{(108,1),(111,1),(120,1),(189,1),(191,1),(400,1),(401,1)}
       148:{1,3,5,7}:{(109,1),(110,1),(115,1),(121,1),(191,1)}
       149:{1,4,6}:{(110,1),(111,1),(122,1),(191,1)}
       150:{1,3,4,5}:{(111,1),(117,1),(123,1),(192,1),(193,1),(401,1),(412,1)}
       151:{1,2,5,6,7}:{(112,1),(115,1),(124,1),(188,1),(194,1),(301,1),(310,1),(346,1),(366,1),(367,1)}
       152:{1,2,4,6}:{(112,1),(113,1),(189,1),(195,1),(276,1)}
       153:{1,3,5,7}:{(113,1),(114,1),(117,1),(195,1),(196,1)}
       154:{2,3,4,7}:{(114,1),(118,1),(196,1),(197,1),(278,1),(364,1)}
       155:{1,2,4,5,7}:{(115,1),(116,1),(125,1),(191,1),(194,1),(198,1),(215,1),(273,1),(278,1),(300,1),(307,1),(346,1),(367,1),(394,1),(400,1)}
       156:{1,3,5,6}:{(116,1),(117,1),(126,1),(192,1),(195,1),(198,1),(199,1),(308,1),(395,1)}
       157:{2,3,5}:{(117,1),(118,1),(193,1),(200,1)}
       158:{1,3,4,6}:{(118,1),(197,1),(200,1),(201,1),(279,1),(282,1),(352,1),(353,1)}
       159:{2,3,5,6,7}:{(119,1),(121,1),(124,1),(132,1),(188,1),(203,1),(210,1),(224,1),(281,1),(289,1),(302,1),(346,1),(366,1),(396,1),(399,1)}
       160:{2,4,6}:{(119,1),(120,1),(133,1),(189,1),(204,1)}
       161:{3,4,5,7}:{(120,1),(123,1),(204,1),(206,1),(289,1),(411,1),(412,1)}
       162:{2,4,7}:{(121,1),(122,1),(135,1),(191,1),(206,1)}
       163:{3,4,6}:{(122,1),(123,1),(126,1),(206,1)}
       164:{2,3,4,5}:{(123,1),(137,1),(193,1),(207,1),(208,1),(296,1),(412,1)}
       165:{2,4,6,7}:{(124,1),(125,1),(127,1),(210,1)}
       166:{3,5,7}:{(125,1),(126,1),(206,1),(210,1)}
       167:{2,3,5,6}:{(126,1),(129,1),(207,1),(211,1),(212,1),(395,1)}
       168:{1,4,5,6,7}:{(127,1),(130,1),(209,1),(213,1),(216,1),(273,1),(301,1),(365,1)}
       169:{1,3,4,6,7}:{(127,1),(128,1),(131,1),(210,1),(213,1),(214,1),(297,1),(299,1),(365,1),(399,1)}
       170:{2,4,5,7}:{(128,1),(129,1),(211,1),(214,1),(215,1),(221,1),(278,1),(300,1),(302,1),(346,1)}
       171:{1,4,5,6}:{(129,1),(212,1),(215,1),(222,1),(279,1),(303,1),(347,1)}
       172:{3,5,6,7}:{(130,1),(131,1),(289,1),(399,1)}
       173:{1,4,5,6}:{(133,1),(202,1),(216,1),(217,1),(347,1)}
       174:{1,4,6,7}:{(132,1),(133,1),(135,1),(203,1),(216,1),(409,1)}
       175:{1,3,4,6}:{(133,1),(134,1),(139,1),(204,1),(217,1),(219,1)}
       176:{2,4,5,7}:{(134,1),(137,1),(140,1),(219,1),(220,1),(221,1),(302,1)}
       177:{1,3,4,7}:{(135,1),(136,1),(142,1),(206,1),(221,1),(409,1),(411,1)}
       178:{2,4,6}:{(136,1),(137,1),(143,1),(221,1),(222,1)}
       179:{1,4,5}:{(137,1),(144,1),(222,1)}
       180:{1,3,6,7}:{(138,1),(139,1),(142,1),(210,1),(224,1),(399,1)}
       181:{2,3,6}:{(139,1),(140,1),(219,1),(225,1)}
       182:{1,3,5,7}:{(140,1),(141,1),(144,1),(220,1),(225,1),(226,1)}
       183:{1,2,4,7}:{(141,1),(145,1),(226,1),(227,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(221,1),(224,1),(228,1),(300,1),(302,1),(364,1)}
       185:{1,3,5,6}:{(143,1),(144,1),(222,1),(225,1),(228,1),(229,1),(303,1),(308,1)}
       186:{1,2,5}:{(144,1),(145,1)}
       187:{1,2,3,6}:{(145,1),(227,1),(230,1),(308,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(151,1),(159,1),(232,1),(238,1),(268,1),(313,1),(339,1),(386,1)}
       189:{1,4,6}:{(146,1),(147,1),(160,1)}
       190:{1,3,4,5,7}:{(147,1),(150,1),(153,1),(161,1),(233,1),(234,1),(235,1),(313,1)}
       191:{1,4,7}:{(148,1),(149,1),(162,1)}
       192:{1,3,4,6}:{(149,1),(150,1),(156,1),(163,1),(235,1),(236,1),(387,1),(406,1)}
       193:{2,4,5}:{(150,1),(157,1),(236,1),(237,1)}
       194:{1,2,4,6,7}:{(151,1),(152,1),(155,1),(165,1),(232,1),(238,1),(259,1),(315,1),(338,1),(385,1)}
       195:{1,3,6}:{(152,1),(153,1),(239,1)}
       196:{2,3,5,7}:{(153,1),(154,1),(157,1),(234,1),(239,1),(240,1)}
       197:{1,3,4,7}:{(154,1),(158,1),(240,1),(241,1),(318,1),(377,1)}
       198:{1,3,5,7}:{(155,1),(156,1),(166,1),(235,1),(238,1),(242,1),(344,1),(405,1)}
       199:{2,3,5,6}:{(156,1),(157,1),(236,1),(239,1),(242,1),(243,1),(257,1),(314,1),(334,1)}
       200:{1,3,5}:{(157,1),(158,1),(237,1),(244,1)}
       201:{1,2,4,6}:{(158,1),(241,1),(244,1),(245,1),(322,1),(325,1)}
       202:{2,4,5,6}:{(160,1),(173,1),(231,1),(246,1),(247,1),(261,1),(314,1)}
       203:{2,4,6,7}:{(159,1),(160,1),(162,1),(174,1),(232,1),(246,1),(248,1),(407,1)}
       204:{3,4,6}:{(160,1),(161,1),(247,1)}
       205:{2,3,4,5,7}:{(161,1),(164,1),(176,1),(234,1),(249,1),(250,1),(251,1),(328,1),(332,1),(407,1),(408,1)}
       206:{3,4,7}:{(162,1),(163,1),(166,1)}
       207:{2,3,4,6}:{(163,1),(164,1),(167,1),(178,1),(236,1),(251,1),(252,1),(334,1),(406,1)}
       208:{1,3,4,5}:{(164,1),(179,1),(237,1),(252,1),(253,1),(267,1),(320,1)}
       209:{2,4,5,6,7}:{(165,1),(168,1),(246,1),(254,1),(258,1),(336,1)}
       210:{3,6,7}:{(165,1),(166,1)}
       211:{2,3,5,7}:{(166,1),(167,1),(170,1),(251,1),(255,1),(256,1),(405,1)}
       212:{1,3,5,6}:{(167,1),(171,1),(252,1),(256,1),(257,1)}
       213:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(254,1),(258,1),(260,1),(313,1)}
       214:{2,4,6,7}:{(169,1),(170,1),(255,1),(258,1),(259,1),(338,1)}
       215:{1,4,5,7}:{(170,1),(171,1),(256,1),(259,1),(265,1),(318,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(174,1),(246,1),(260,1),(372,1)}
       217:{1,3,5,6}:{(173,1),(175,1),(247,1),(260,1),(261,1)}
       218:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(180,1),(248,1),(260,1),(262,1)}
       219:{2,4,6}:{(175,1),(176,1),(181,1),(261,1),(263,1)}
       220:{1,4,5,7}:{(176,1),(179,1),(182,1),(263,1),(265,1),(339,1)}
       221:{2,4,7}:{(177,1),(178,1),(184,1),(265,1)}
       222:{1,4,6}:{(178,1),(179,1),(185,1),(265,1)}
       223:{1,2,4,5}:{(179,1),(186,1),(253,1),(266,1),(267,1),(272,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(184,1),(262,1),(268,1),(338,1)}
       225:{1,3,6}:{(181,1),(182,1),(263,1),(269,1)}
       226:{1,2,5,7}:{(182,1),(183,1),(186,1),(269,1)}
       227:{1,2,3,7}:{(183,1),(187,1),(344,1)}
       228:{1,3,5,7}:{(184,1),(185,1),(265,1),(268,1),(271,1),(339,1),(344,1)}
       229:{1,2,5,6}:{(185,1),(186,1),(257,1),(266,1),(269,1),(271,1)}
       230:{1,2,3,5}:{(186,1),(187,1),(267,1),(272,1)}
       231:{1,4,5,6}:{(189,1),(202,1),(273,1),(274,1),(303,1)}
       232:{1,4,6,7}:{(188,1),(189,1),(191,1),(203,1),(273,1),(400,1)}
       233:{1,3,4,6}:{(189,1),(190,1),(195,1),(204,1),(274,1),(276,1)}
       234:{2,4,5,7}:{(190,1),(193,1),(196,1),(276,1),(277,1),(278,1),(346,1)}
       235:{1,3,4,7}:{(191,1),(192,1),(198,1),(206,1),(278,1),(400,1),(411,1)}
       236:{2,4,6}:{(192,1),(193,1),(199,1),(278,1),(279,1)}
       237:{1,4,5}:{(193,1),(200,1),(279,1)}
       238:{1,3,6,7}:{(194,1),(195,1),(198,1),(210,1),(281,1),(399,1)}
       239:{2,3,6}:{(195,1),(196,1),(276,1),(282,1)}
       240:{1,3,5,7}:{(196,1),(197,1),(200,1),(277,1),(282,1),(283,1)}
       241:{1,2,4,7}:{(197,1),(201,1),(283,1),(284,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(278,1),(281,1),(285,1),(300,1),(346,1),(364,1)}
       243:{1,3,5,6}:{(199,1),(200,1),(279,1),(282,1),(285,1),(286,1),(347,1),(352,1)}
       244:{1,2,5}:{(200,1),(201,1)}
       245:{1,2,3,6}:{(201,1),(284,1),(287,1),(352,1)}
       246:{2,4,5,7}:{(202,1),(203,1),(216,1),(273,1),(289,1),(302,1),(346,1)}
       247:{3,5,6}:{(202,1),(204,1),(289,1)}
       248:{3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(289,1),(399,1),(411,1)}
       249:{2,3,4,6}:{(204,1),(205,1),(219,1),(276,1),(290,1),(292,1),(362,1),(397,1)}
       250:{1,3,4,5,7}:{(205,1),(208,1),(220,1),(277,1),(292,1),(293,1),(294,1),(306,1),(350,1),(359,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       251:{2,3,4,7}:{(206,1),(207,1),(211,1),(221,1),(278,1),(294,1),(364,1),(411,1)}
       252:{1,3,4,6}:{(207,1),(208,1),(212,1),(222,1),(279,1),(294,1),(295,1),(308,1),(352,1)}
       253:{2,4,5}:{(208,1),(295,1),(296,1)}
       254:{3,5,6,7}:{(209,1),(210,1),(289,1),(297,1)}
       255:{2,3,6,7}:{(210,1),(211,1),(214,1),(299,1),(399,1)}
       256:{1,3,5,7}:{(211,1),(212,1),(215,1),(294,1),(299,1),(300,1)}
       257:{2,5,6}:{(212,1),(295,1),(300,1)}
       258:{2,5,6,7}:{(213,1),(214,1),(301,1),(302,1),(346,1)}
       259:{1,4,6,7}:{(214,1),(215,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(218,1),(289,1),(302,1)}
       261:{2,5,6}:{(217,1),(219,1),(302,1),(303,1)}
       262:{2,4,6,7}:{(218,1),(219,1),(221,1),(224,1),(302,1),(304,1)}
       263:{1,4,6}:{(219,1),(220,1),(225,1),(303,1)}
       264:{1,2,4,5,7}:{(220,1),(223,1),(226,1),(293,1),(305,1),(306,1),(307,1),(312,1),(367,1),(371,1),(400,1),(401,1)}
       265:{1,4,7}:{(221,1),(222,1),(228,1)}
       266:{1,2,4,6}:{(222,1),(223,1),(229,1),(295,1),(307,1),(308,1)}
       267:{1,3,5}:{(223,1),(296,1),(308,1),(309,1)}
       268:{1,3,6,7}:{(224,1),(225,1),(228,1),(304,1),(310,1)}
       269:{1,2,6}:{(225,1),(226,1)}
       270:{1,2,3,5,7}:{(226,1),(227,1),(230,1),(306,1),(311,1),(312,1),(371,1)}
       271:{1,2,5,7}:{(228,1),(229,1),(300,1),(307,1),(310,1)}
       272:{1,2,4}:{(230,1),(309,1)}
       273:{1,4,5,7}:{(231,1),(232,1),(246,1),(313,1),(339,1)}
       274:{1,3,5,6}:{(231,1),(233,1),(247,1),(313,1),(314,1)}
       275:{1,3,4,6,7}:{(232,1),(233,1),(235,1),(238,1),(248,1),(313,1),(315,1)}
       276:{2,4,6}:{(233,1),(234,1),(239,1),(314,1),(316,1)}
       277:{1,4,5,7}:{(234,1),(237,1),(240,1),(316,1),(318,1),(372,1)}
       278:{2,4,7}:{(235,1),(236,1),(242,1),(318,1)}
       279:{1,4,6}:{(236,1),(237,1),(243,1),(318,1)}
       280:{1,2,4,5}:{(237,1),(244,1),(253,1),(319,1),(320,1),(325,1)}
       281:{2,3,6,7}:{(238,1),(239,1),(242,1),(315,1),(321,1),(338,1)}
       282:{1,3,6}:{(239,1),(240,1),(316,1),(322,1)}
       283:{1,2,5,7}:{(240,1),(241,1),(244,1),(322,1)}
       284:{1,2,3,7}:{(241,1),(245,1),(377,1)}
       285:{1,3,5,7}:{(242,1),(243,1),(318,1),(321,1),(324,1),(372,1),(377,1)}
       286:{1,2,5,6}:{(243,1),(244,1),(257,1),(319,1),(322,1),(324,1)}
       287:{1,2,3,5}:{(244,1),(245,1),(320,1),(325,1)}
       288:{3,4,5,6}:{(247,1),(326,1),(327,1),(406,1)}
       289:{3,5,7}:{(246,1),(247,1),(248,1)}
       290:{2,3,5,6}:{(247,1),(249,1),(261,1),(314,1),(327,1),(328,1),(329,1)}
       291:{2,3,4,6,7}:{(248,1),(249,1),(251,1),(255,1),(262,1),(315,1),(328,1),(330,1),(336,1),(383,1),(407,1)}
       292:{1,3,4,6}:{(249,1),(250,1),(263,1),(316,1),(329,1),(331,1),(342,1),(375,1),(387,1),(403,1),(406,1)}
       293:{2,4,5,7}:{(250,1),(253,1),(331,1),(332,1),(333,1),(381,1),(407,1),(408,1)}
       294:{1,3,4,7}:{(251,1),(252,1),(256,1),(265,1),(318,1),(333,1),(344,1),(377,1)}
       295:{2,4,6}:{(252,1),(253,1),(257,1),(333,1),(334,1)}
       296:{2,3,5}:{(253,1),(267,1),(320,1),(334,1),(335,1)}
       297:{3,4,6,7}:{(254,1),(326,1),(336,1)}
       298:{2,3,5,6,7}:{(254,1),(255,1),(258,1),(328,1),(336,1),(337,1)}
       299:{1,3,6,7}:{(255,1),(256,1),(259,1),(338,1)}
       300:{2,5,7}:{(256,1),(257,1),(333,1),(338,1)}
       301:{1,5,6,7}:{(258,1),(259,1),(339,1),(372,1)}
       302:{2,5,7}:{(260,1),(261,1),(262,1),(339,1)}
       303:{1,5,6}:{(261,1),(263,1),(339,1)}
       304:{1,4,6,7}:{(262,1),(263,1),(265,1),(268,1),(339,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(269,1),(331,1),(340,1),(342,1),(387,1)}
       306:{1,3,5,7}:{(264,1),(267,1),(332,1),(342,1),(343,1),(344,1),(388,1)}
       307:{1,2,4,7}:{(265,1),(266,1),(271,1),(333,1),(344,1)}
       308:{1,3,6}:{(266,1),(267,1),(334,1),(344,1)}
       309:{1,3,4}:{(267,1),(272,1),(335,1)}
       310:{1,2,6,7}:{(268,1),(269,1),(271,1),(338,1)}
       311:{1,2,3,6}:{(269,1),(270,1),(342,1),(345,1)}
       312:{1,2,4,7}:{(270,1),(272,1),(343,1),(345,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(275,1),(289,1),(346,1)}
       314:{2,5,6}:{(274,1),(276,1),(346,1),(347,1)}
       315:{2,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(346,1),(348,1)}
       316:{1,4,6}:{(276,1),(277,1),(282,1),(347,1)}
       317:{1,2,4,5,7}:{(277,1),(280,1),(283,1),(293,1),(349,1),(350,1),(351,1),(356,1),(389,1),(393,1),(409,1),(410,1)}
       318:{1,4,7}:{(278,1),(279,1),(285,1)}
       319:{1,2,4,6}:{(279,1),(280,1),(286,1),(295,1),(351,1),(352,1)}
       320:{1,3,5}:{(280,1),(296,1),(352,1),(353,1)}
       321:{1,3,6,7}:{(281,1),(282,1),(285,1),(348,1),(354,1)}
       322:{1,2,6}:{(282,1),(283,1)}
       323:{1,2,3,5,7}:{(283,1),(284,1),(287,1),(350,1),(355,1),(356,1),(393,1)}
       324:{1,2,5,7}:{(285,1),(286,1),(300,1),(351,1),(354,1)}
       325:{1,2,4}:{(287,1),(353,1)}
       326:{3,4,5,7}:{(288,1),(289,1),(297,1),(357,1),(411,1)}
       327:{2,4,5,6}:{(288,1),(290,1),(357,1),(358,1),(397,1)}
       328:{2,3,5,7}:{(289,1),(290,1),(291,1),(302,1),(346,1),(357,1),(359,1)}
       329:{1,3,5,6}:{(290,1),(292,1),(303,1),(347,1),(358,1),(359,1),(360,1),(395,1)}
       330:{1,3,4,6,7}:{(291,1),(292,1),(294,1),(299,1),(304,1),(348,1),(359,1),(361,1),(365,1),(369,1),(391,1),(399,1),(400,1),(409,1),(411,1)}
       331:{2,4,6}:{(292,1),(293,1),(360,1),(362,1)}
       332:{2,3,5,7}:{(293,1),(296,1),(306,1),(350,1),(362,1),(363,1),(364,1),(398,1)}
       333:{2,4,7}:{(294,1),(295,1),(300,1),(364,1)}
       334:{2,3,6}:{(295,1),(296,1),(308,1),(352,1),(364,1)}
       335:{2,3,4}:{(296,1),(309,1),(353,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(357,1),(365,1)}
       337:{1,3,5,6,7}:{(298,1),(299,1),(301,1),(359,1),(365,1),(366,1),(399,1)}
       338:{2,6,7}:{(299,1),(300,1)}
       339:{1,5,7}:{(302,1),(303,1),(304,1)}
       340:{1,2,5,6}:{(303,1),(305,1),(360,1),(367,1),(368,1),(371,1)}
       341:{1,2,4,6,7}:{(304,1),(305,1),(307,1),(310,1),(361,1),(367,1),(369,1),(400,1)}
       342:{1,3,6}:{(305,1),(306,1),(362,1)}
       343:{1,3,4,7}:{(306,1),(309,1),(312,1),(363,1),(370,1),(400,1)}
       344:{1,3,7}:{(307,1),(308,1),(364,1)}
       345:{1,2,4,6}:{(311,1),(312,1),(370,1),(371,1)}
       346:{2,5,7}:{(313,1),(314,1),(315,1),(372,1)}
       347:{1,5,6}:{(314,1),(316,1),(372,1)}
       348:{1,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(372,1)}
       349:{1,2,4,6}:{(316,1),(317,1),(322,1),(331,1),(373,1),(375,1),(403,1)}
       350:{1,3,5,7}:{(317,1),(320,1),(332,1),(375,1),(376,1),(377,1),(404,1)}
       351:{1,2,4,7}:{(318,1),(319,1),(324,1),(333,1),(377,1)}
       352:{1,3,6}:{(319,1),(320,1),(334,1),(377,1)}
       353:{1,3,4}:{(320,1),(325,1),(335,1)}
       354:{1,2,6,7}:{(321,1),(322,1),(324,1),(338,1)}
       355:{1,2,3,6}:{(322,1),(323,1),(375,1),(378,1)}
       356:{1,2,4,7}:{(323,1),(325,1),(376,1),(378,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(336,1),(379,1),(407,1)}
       358:{1,4,5,6}:{(327,1),(329,1),(379,1),(380,1),(387,1),(403,1)}
       359:{1,3,5,7}:{(328,1),(329,1),(330,1),(339,1),(372,1),(379,1),(381,1),(405,1)}
       360:{2,5,6}:{(329,1),(331,1),(381,1)}
       361:{2,4,6,7}:{(330,1),(331,1),(333,1),(338,1),(381,1),(383,1),(407,1)}
       362:{2,3,6}:{(331,1),(332,1),(342,1),(375,1)}
       363:{2,3,4,7}:{(332,1),(335,1),(343,1),(376,1),(384,1),(407,1)}
       364:{2,3,7}:{(333,1),(334,1),(344,1),(377,1)}
       365:{1,4,6,7}:{(336,1),(337,1),(379,1),(385,1)}
       366:{2,5,6,7}:{(337,1),(338,1),(381,1),(385,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(341,1),(381,1),(386,1)}
       368:{1,3,5,6}:{(340,1),(342,1),(382,1),(386,1),(387,1),(388,1)}
       369:{1,3,6,7}:{(341,1),(342,1),(344,1),(383,1),(386,1)}
       370:{1,3,4,6}:{(342,1),(343,1),(345,1),(384,1),(387,1),(388,1)}
       371:{1,2,5}:{(345,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(348,1)}
       373:{1,2,5,6}:{(347,1),(349,1),(360,1),(389,1),(390,1),(393,1)}
       374:{1,2,4,6,7}:{(348,1),(349,1),(351,1),(354,1),(361,1),(389,1),(391,1),(409,1)}
       375:{1,3,6}:{(349,1),(350,1),(362,1)}
       376:{1,3,4,7}:{(350,1),(353,1),(356,1),(363,1),(392,1),(409,1)}
       377:{1,3,7}:{(351,1),(352,1),(364,1)}
       378:{1,2,4,6}:{(355,1),(356,1),(392,1),(393,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(359,1),(365,1),(394,1),(400,1),(409,1)}
       380:{2,4,5,6}:{(358,1),(360,1),(394,1),(395,1),(397,1)}
       381:{2,5,7}:{(359,1),(360,1),(361,1)}
       382:{2,3,5,6}:{(360,1),(362,1),(368,1),(390,1),(395,1),(396,1),(397,1),(398,1)}
       383:{2,3,6,7}:{(361,1),(362,1),(364,1),(369,1),(391,1),(396,1),(399,1)}
       384:{2,3,4,6}:{(362,1),(363,1),(370,1),(392,1),(397,1),(398,1)}
       385:{2,4,6,7}:{(365,1),(366,1),(394,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(396,1),(400,1)}
       387:{1,4,6}:{(368,1),(397,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(398,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(374,1),(381,1),(402,1)}
       390:{1,3,5,6}:{(373,1),(375,1),(382,1),(402,1),(403,1),(404,1)}
       391:{1,3,6,7}:{(374,1),(375,1),(377,1),(383,1),(402,1)}
       392:{1,3,4,6}:{(375,1),(376,1),(378,1),(384,1),(403,1),(404,1)}
       393:{1,2,5}:{(378,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(381,1),(385,1),(405,1),(407,1)}
       395:{3,5,6}:{(380,1),(405,1),(406,1)}
       396:{2,3,5,7}:{(381,1),(382,1),(383,1),(386,1),(402,1),(405,1),(407,1)}
       397:{2,4,6}:{(382,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       398:{2,3,5}:{(384,1),(388,1),(404,1),(408,1)}
       399:{3,6,7}:{(385,1),(405,1)}
       400:{1,4,7}:{(386,1),(387,1),(407,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(409,1)}
       403:{1,4,6}:{(390,1),(397,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(398,1),(410,1)}
       405:{3,5,7}:{(394,1),(395,1),(399,1),(411,1)}
       406:{3,4,6}:{(395,1),(397,1),(411,1),(412,1)}
       407:{2,4,7}:{(396,1),(397,1),(400,1),(409,1),(411,1)}
       408:{2,4,5}:{(397,1),(398,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(407,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(406,1),(408,1)}

2203 :   0:{1,2,3,5}:{(2,1),(3,1),(19,1),(21,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(28,1),(67,1)}
         2:{1,2,3,6}:{(0,1),(8,1),(9,1),(36,1)}
         3:{1,2,4}:{(0,1),(7,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(41,1),(43,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(19,1),(41,1),(55,1),(82,1),(88,1)}
         6:{2,3,4,6}:{(1,1),(15,1),(16,1),(17,1),(47,1),(90,1)}
         7:{1,3,4}:{(3,1),(13,1),(19,1)}
         8:{1,2,3,7}:{(2,1),(20,1),(58,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(18,1),(20,1),(21,1),(59,1)}
        10:{1,2,4,5}:{(3,1),(14,1),(19,1),(21,1),(22,1),(55,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(63,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{2,3,4}:{(7,1),(23,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(31,1),(36,1),(63,1),(78,1),(103,1),(108,1)}
        16:{2,3,5,6}:{(6,1),(30,1),(32,1),(33,1)}
        17:{2,3,4,7}:{(6,1),(31,1),(33,1),(70,1),(110,1)}
        18:{1,3,4,6}:{(7,1),(9,1),(27,1),(34,1),(35,1),(36,1),(78,1),(79,1)}
        19:{1,3,5}:{(7,1),(10,1),(28,1),(36,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(34,1),(37,1)}
        21:{1,2,5}:{(9,1),(35,1)}
        22:{1,2,4,6}:{(10,1),(29,1),(36,1),(38,1),(39,1),(78,1)}
        23:{1,3,4}:{(12,1),(13,1),(41,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(85,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(40,1),(42,1),(43,1),(86,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(41,1),(43,1),(44,1),(82,1)}
        27:{2,3,4,6}:{(13,1),(18,1),(40,1),(45,1),(46,1),(47,1),(90,1),(91,1)}
        28:{2,3,5}:{(13,1),(14,1),(19,1),(41,1),(47,1)}
        29:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(16,1),(48,1),(50,1),(51,1),(93,1)}
        31:{1,3,4,7}:{(15,1),(17,1),(49,1),(51,1),(58,1),(85,1),(100,1),(119,1),(122,1)}
        32:{2,4,5,6}:{(16,1),(50,1),(52,1),(53,1),(90,1),(123,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(51,1),(53,1),(54,1)}
        34:{1,3,4,7}:{(18,1),(20,1),(45,1),(56,1),(58,1),(100,1)}
        35:{1,3,5}:{(18,1),(21,1),(46,1),(55,1)}
        36:{1,3,6}:{(19,1),(22,1),(47,1),(58,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(56,1),(59,1)}
        38:{1,2,5,6}:{(21,1),(22,1),(48,1),(57,1),(59,1),(60,1)}
        39:{1,2,4,7}:{(22,1),(49,1),(58,1),(60,1),(100,1)}
        40:{1,3,4,6}:{(23,1),(25,1),(27,1),(61,1),(62,1),(63,1),(103,1),(104,1)}
        41:{1,3,5}:{(23,1),(26,1),(28,1),(63,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(61,1),(64,1)}
        43:{1,2,5}:{(25,1),(62,1)}
        44:{1,2,4,6}:{(26,1),(29,1),(63,1),(65,1),(66,1),(103,1)}
        45:{2,3,4,7}:{(27,1),(34,1),(61,1),(68,1),(70,1),(110,1)}
        46:{2,3,5}:{(27,1),(35,1),(62,1),(67,1)}
        47:{2,3,6}:{(28,1),(29,1),(36,1),(63,1),(70,1)}
        48:{2,5,6}:{(29,1),(30,1),(72,1)}
        49:{2,4,7}:{(29,1),(31,1),(70,1),(72,1)}
        50:{1,4,5,6}:{(30,1),(32,1),(71,1),(73,1),(78,1),(103,1),(116,1),(129,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(72,1),(73,1),(74,1),(112,1)}
        52:{3,4,5,6}:{(32,1),(75,1),(108,1),(131,1)}
        53:{2,4,5,7}:{(32,1),(33,1),(73,1),(75,1),(76,1),(110,1),(133,1)}
        54:{2,3,6,7}:{(33,1),(74,1),(76,1)}
        55:{1,4,5}:{(35,1),(67,1),(78,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(37,1),(68,1),(77,1),(79,1)}
        57:{1,3,5,6}:{(35,1),(36,1),(38,1),(69,1),(78,1),(79,1),(80,1),(116,1)}
        58:{1,3,7}:{(36,1),(39,1),(70,1)}
        59:{1,2,6}:{(37,1),(79,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(72,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(40,1),(42,1),(45,1),(83,1),(85,1),(119,1)}
        62:{1,3,5}:{(40,1),(43,1),(46,1),(82,1)}
        63:{1,3,6}:{(41,1),(44,1),(47,1),(85,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(83,1),(86,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(84,1),(86,1),(87,1)}
        66:{1,2,4,7}:{(44,1),(49,1),(85,1),(87,1),(119,1)}
        67:{2,4,5}:{(46,1),(55,1),(82,1),(88,1),(90,1)}
        68:{2,3,5,7}:{(45,1),(46,1),(56,1),(83,1),(89,1),(91,1)}
        69:{2,3,5,6}:{(46,1),(47,1),(48,1),(57,1),(84,1),(90,1),(91,1),(92,1),(93,1),(123,1)}
        70:{2,3,7}:{(47,1),(49,1),(58,1),(85,1)}
        71:{2,4,5,6}:{(48,1),(50,1),(90,1),(93,1),(94,1),(123,1),(136,1)}
        72:{2,5,7}:{(48,1),(49,1),(51,1),(95,1)}
        73:{1,4,5,7}:{(50,1),(51,1),(53,1),(94,1),(96,1),(100,1),(119,1),(128,1),(135,1)}
        74:{1,3,6,7}:{(51,1),(54,1),(95,1),(96,1),(125,1)}
        75:{3,4,5,7}:{(52,1),(53,1),(97,1),(122,1),(137,1)}
        76:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(98,1)}
        77:{1,4,5,7}:{(55,1),(56,1),(89,1),(99,1),(100,1),(128,1)}
        78:{1,4,6}:{(55,1),(57,1),(90,1),(100,1)}
        79:{1,3,6}:{(56,1),(59,1),(91,1),(99,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(60,1),(92,1),(100,1),(101,1),(128,1)}
        81:{1,2,6,7}:{(59,1),(60,1),(95,1),(101,1)}
        82:{1,4,5}:{(62,1),(67,1),(103,1)}
        83:{1,3,5,7}:{(61,1),(62,1),(64,1),(68,1),(102,1),(104,1)}
        84:{1,3,5,6}:{(62,1),(63,1),(65,1),(69,1),(103,1),(104,1),(105,1),(129,1)}
        85:{1,3,7}:{(63,1),(66,1),(70,1)}
        86:{1,2,6}:{(64,1),(104,1)}
        87:{1,2,5,7}:{(65,1),(66,1),(72,1),(105,1),(106,1)}
        88:{3,4,5}:{(67,1),(108,1)}
        89:{2,4,5,7}:{(67,1),(68,1),(77,1),(102,1),(107,1),(109,1),(110,1),(133,1)}
        90:{2,4,6}:{(67,1),(69,1),(78,1),(103,1),(108,1),(110,1)}
        91:{2,3,6}:{(68,1),(79,1),(104,1),(109,1)}
        92:{2,3,5,7}:{(69,1),(70,1),(72,1),(80,1),(105,1),(110,1),(111,1),(112,1),(133,1)}
        93:{3,5,6}:{(71,1),(108,1),(112,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(110,1),(112,1),(113,1),(133,1),(139,1)}
        95:{2,6,7}:{(72,1),(74,1)}
        96:{1,4,6,7}:{(73,1),(74,1),(76,1),(113,1),(114,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(115,1)}
        98:{2,5,6,7}:{(76,1),(114,1),(115,1),(133,1)}
        99:{1,4,6}:{(77,1),(79,1),(109,1),(116,1)}
       100:{1,4,7}:{(78,1),(80,1),(110,1)}
       101:{1,3,6,7}:{(79,1),(80,1),(81,1),(111,1),(117,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(89,1),(118,1),(119,1),(135,1)}
       103:{1,4,6}:{(82,1),(84,1),(90,1),(119,1)}
       104:{1,3,6}:{(83,1),(86,1),(91,1),(118,1)}
       105:{1,3,5,7}:{(84,1),(85,1),(87,1),(92,1),(119,1),(120,1),(135,1)}
       106:{1,2,6,7}:{(86,1),(87,1),(95,1),(120,1)}
       107:{3,4,5,7}:{(88,1),(89,1),(121,1),(122,1),(137,1)}
       108:{3,4,6}:{(88,1),(90,1),(93,1),(122,1)}
       109:{2,4,6}:{(89,1),(91,1),(99,1),(118,1),(121,1),(123,1)}
       110:{2,4,7}:{(90,1),(92,1),(100,1),(119,1),(122,1)}
       111:{2,3,6,7}:{(91,1),(92,1),(95,1),(101,1),(120,1),(124,1),(125,1)}
       112:{3,5,7}:{(93,1),(94,1),(122,1),(125,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{1,5,6,7}:{(96,1),(98,1),(126,1),(128,1),(135,1)}
       115:{3,5,6,7}:{(97,1),(98,1),(127,1),(137,1)}
       116:{1,5,6}:{(99,1),(123,1),(128,1)}
       117:{1,4,6,7}:{(99,1),(100,1),(101,1),(124,1),(128,1)}
       118:{1,4,6}:{(102,1),(104,1),(109,1),(129,1)}
       119:{1,4,7}:{(103,1),(105,1),(110,1)}
       120:{1,3,6,7}:{(104,1),(105,1),(106,1),(111,1),(130,1)}
       121:{3,4,6}:{(107,1),(109,1),(131,1)}
       122:{3,4,7}:{(108,1),(110,1),(112,1)}
       123:{2,5,6}:{(109,1),(116,1),(129,1),(131,1),(133,1)}
       124:{2,4,6,7}:{(109,1),(110,1),(111,1),(117,1),(130,1),(132,1),(133,1)}
       125:{3,6,7}:{(112,1),(113,1)}
       126:{2,5,6,7}:{(113,1),(114,1),(133,1),(134,1)}
       127:{4,5,6,7}:{(115,1),(139,1)}
       128:{1,5,7}:{(116,1),(117,1),(133,1)}
       129:{1,5,6}:{(118,1),(123,1),(135,1)}
       130:{1,4,6,7}:{(118,1),(119,1),(120,1),(124,1),(135,1)}
       131:{3,5,6}:{(121,1),(123,1),(136,1),(137,1)}
       132:{3,4,6,7}:{(121,1),(122,1),(124,1),(125,1),(137,1),(138,1)}
       133:{2,5,7}:{(123,1),(124,1),(128,1),(135,1),(137,1)}
       134:{3,5,6,7}:{(125,1),(126,1),(137,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(133,1)}
       136:{4,5,6}:{(131,1),(139,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{4,6,7}:{(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2204 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(128,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(23,1),(144,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(32,1),(158,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(23,1),(39,1),(140,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(166,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(43,1),(70,1),(74,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(44,1),(46,1),(114,1),(140,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(33,1),(49,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(29,1),(32,1),(154,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(171,1)}
        11:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(29,1),(54,1),(92,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(35,1),(58,1),(131,1),(154,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(164,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(105,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(39,1),(41,1),(70,1),(107,1)}
        17:{1,3,4,6,7}:{(11,1),(23,1),(24,1),(109,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(147,1),(164,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(119,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(153,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(32,1),(54,1),(124,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(126,1)}
        24:{1,3,4,5,7}:{(17,1),(33,1),(34,1),(54,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(119,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(130,1),(153,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(138,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{1,2,3,5,6,7}:{(22,1),(39,1),(42,1),(64,1),(70,1),(73,1),(105,1),(107,1),(138,1),(143,1),(165,1),(174,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(43,1),(142,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1),(70,1)}
        34:{1,3,4,5,6}:{(24,1),(44,1),(71,1),(109,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(112,1),(138,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(121,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{1,2,4,6,7}:{(31,1),(32,1),(53,1),(56,1),(57,1),(81,1),(119,1),(126,1),(159,1),(172,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(89,1),(126,1)}
        45:{1,3,4,5,6,7}:{(34,1),(59,1),(90,1),(129,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(121,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(130,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(106,1),(136,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(138,1),(165,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{1,3,4,6,7}:{(42,1),(69,1),(73,1),(99,1),(109,1),(138,1)}
        57:{1,2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1),(106,1),(169,1),(174,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(142,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(108,1),(145,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(105,1),(112,1),(138,1),(148,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(112,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(144,1),(148,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(118,1),(162,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(118,1),(123,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(126,1),(153,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(119,1),(172,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(117,1),(121,1),(126,1),(153,1),(172,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(88,1),(92,1)}
        74:{1,2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(119,1),(126,1),(158,1),(171,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(159,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(161,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(121,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(132,1),(158,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(160,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(170,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(138,1),(142,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(145,1),(165,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(138,1),(142,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(104,1),(105,1),(174,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(104,1),(106,1),(107,1),(174,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(108,1)}
        91:{1,3,4,5,7}:{(73,1),(106,1),(109,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(107,1),(109,1),(138,1)}
        93:{1,2,4,5,6,7}:{(74,1),(75,1),(108,1),(110,1),(139,1),(145,1),(169,1),(174,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(111,1),(112,1),(138,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(112,1),(147,1)}
        96:{2,3,5}:{(77,1),(78,1),(112,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(115,1),(116,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(116,1),(150,1),(169,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(118,1),(119,1),(123,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(122,1),(155,1),(159,1)}
       104:{1,3,5,7}:{(86,1),(87,1),(88,1),(123,1),(124,1)}
       105:{1,2,5,6}:{(87,1),(89,1),(119,1),(124,1),(171,1)}
       106:{2,4,5,7}:{(88,1),(91,1),(123,1),(126,1)}
       107:{2,3,5,6}:{(88,1),(89,1),(92,1),(121,1),(124,1),(126,1),(153,1),(171,1)}
       108:{2,5,6,7}:{(89,1),(90,1),(122,1)}
       109:{1,3,4,6}:{(91,1),(92,1),(126,1)}
       110:{1,3,5,6,7}:{(92,1),(93,1),(127,1),(129,1),(155,1),(173,1)}
       111:{2,3,4,6}:{(94,1),(117,1),(130,1),(153,1),(161,1)}
       112:{1,3,5}:{(94,1),(95,1),(96,1),(130,1)}
       113:{1,2,4,5,6}:{(95,1),(97,1),(119,1),(132,1),(133,1),(158,1),(161,1),(171,1)}
       114:{2,3,4,5}:{(96,1),(131,1),(134,1)}
       115:{2,3,5,6}:{(96,1),(97,1),(121,1),(132,1),(134,1),(135,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(122,1),(135,1)}
       117:{2,3,4,7}:{(99,1),(111,1),(136,1),(170,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(112,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(105,1),(138,1),(142,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(106,1),(114,1),(137,1),(140,1),(151,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(108,1),(116,1),(141,1)}
       123:{1,4,5,7}:{(104,1),(106,1),(142,1)}
       124:{1,3,5,6}:{(104,1),(105,1),(107,1),(138,1),(142,1)}
       125:{1,2,5,6,7}:{(105,1),(108,1),(139,1),(143,1),(174,1)}
       126:{2,4,6}:{(106,1),(107,1),(109,1),(142,1)}
       127:{2,3,5,6,7}:{(107,1),(108,1),(110,1),(141,1),(143,1),(145,1),(165,1),(168,1),(174,1)}
       128:{1,3,4,5,6}:{(109,1),(144,1),(146,1),(166,1)}
       129:{1,3,4,6,7}:{(109,1),(110,1),(145,1),(146,1)}
       130:{2,3,5}:{(111,1),(112,1),(147,1)}
       131:{1,3,4,5}:{(112,1),(114,1),(147,1),(149,1)}
       132:{1,3,5,6}:{(112,1),(113,1),(115,1),(138,1),(148,1),(149,1),(150,1)}
       133:{1,2,4,5,7}:{(113,1),(116,1),(139,1),(150,1),(169,1),(170,1),(174,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(149,1),(151,1)}
       135:{2,3,5,7}:{(115,1),(116,1),(141,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(130,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(123,1),(131,1),(152,1),(154,1),(163,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(125,1),(133,1),(155,1),(159,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(126,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(135,1),(155,1)}
       142:{1,4,6}:{(123,1),(124,1),(126,1)}
       143:{1,3,5,6,7}:{(124,1),(125,1),(127,1),(155,1),(159,1),(173,1)}
       144:{2,4,5,6}:{(126,1),(128,1),(156,1),(158,1),(160,1),(171,1)}
       145:{2,4,6,7}:{(126,1),(127,1),(129,1),(159,1),(160,1)}
       146:{1,3,4,5,7}:{(128,1),(129,1),(160,1),(173,1)}
       147:{2,4,5}:{(130,1),(131,1),(161,1)}
       148:{2,3,5,6}:{(130,1),(132,1),(153,1),(161,1),(162,1),(171,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(161,1),(163,1)}
       150:{1,3,5,7}:{(132,1),(133,1),(135,1),(155,1),(162,1),(163,1)}
       151:{2,3,4,7}:{(134,1),(135,1),(163,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(147,1),(164,1),(170,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(142,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(150,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(144,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(145,1),(151,1),(167,1),(168,1)}
       158:{1,4,5,6}:{(142,1),(144,1),(166,1),(169,1)}
       159:{1,4,6,7}:{(142,1),(143,1),(145,1),(169,1)}
       160:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(169,1),(174,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,5,7}:{(148,1),(150,1),(165,1),(170,1),(174,1)}
       163:{1,3,4,7}:{(149,1),(150,1),(151,1),(170,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(162,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(158,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(159,1),(163,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(160,1),(173,1)}
       169:{1,4,5,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,4,7}:{(161,1),(162,1),(163,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(170,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(169,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2205 :   0:{1,2,3,5}:{(2,1),(3,1),(20,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(96,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(61,1)}
         8:{1,2,3,7}:{(2,1),(21,1),(62,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(20,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(109,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(79,1),(104,1),(109,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(114,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(30,1),(36,1),(37,1),(40,1),(79,1),(82,1)}
        20:{1,2,5}:{(7,1),(36,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(37,1),(39,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(38,1),(40,1),(41,1),(79,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(88,1)}
        25:{1,2,3,7}:{(11,1),(44,1),(89,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(43,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(96,1),(127,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(122,1),(136,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(96,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(101,1),(119,1),(122,1)}
        36:{1,3,5}:{(19,1),(20,1),(50,1),(57,1)}
        37:{1,3,4,7}:{(19,1),(21,1),(51,1),(59,1),(62,1),(101,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(52,1),(58,1),(60,1),(61,1)}
        39:{1,2,5,7}:{(20,1),(21,1),(59,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(60,1),(62,1),(101,1)}
        42:{1,3,4,6}:{(24,1),(26,1),(30,1),(63,1),(64,1),(67,1),(104,1),(107,1)}
        43:{1,2,5}:{(24,1),(63,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(64,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(65,1),(67,1),(68,1),(104,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(79,1),(104,1),(118,1),(130,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(114,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,5}:{(30,1),(36,1),(63,1),(73,1)}
        51:{2,3,4,7}:{(30,1),(37,1),(64,1),(75,1),(78,1),(114,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(36,1),(73,1),(79,1)}
        58:{1,3,5,6}:{(36,1),(38,1),(40,1),(74,1),(79,1),(81,1),(82,1),(118,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(39,1),(75,1),(80,1),(82,1)}
        60:{1,2,5,7}:{(38,1),(41,1),(76,1),(81,1),(83,1)}
        61:{1,2,6}:{(39,1),(82,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,5}:{(42,1),(43,1),(50,1),(84,1)}
        64:{1,3,4,7}:{(42,1),(44,1),(51,1),(86,1),(89,1),(119,1)}
        65:{1,2,5,6}:{(43,1),(46,1),(52,1),(85,1),(87,1),(88,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(87,1),(89,1),(119,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(96,1),(127,1),(137,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(101,1),(119,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(136,1)}
        73:{2,4,5}:{(50,1),(57,1),(84,1),(90,1),(96,1)}
        74:{2,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(85,1),(91,1),(96,1),(98,1),(99,1),(127,1)}
        75:{2,3,5,7}:{(50,1),(51,1),(59,1),(86,1),(97,1),(99,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,6}:{(57,1),(58,1),(96,1),(101,1)}
        80:{1,4,5,7}:{(57,1),(59,1),(97,1),(101,1),(102,1),(128,1)}
        81:{1,3,5,7}:{(58,1),(60,1),(62,1),(98,1),(101,1),(103,1),(128,1)}
        82:{1,3,6}:{(59,1),(61,1),(99,1),(102,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(63,1),(73,1),(104,1)}
        85:{1,3,5,6}:{(63,1),(65,1),(67,1),(74,1),(104,1),(106,1),(107,1),(130,1)}
        86:{1,3,5,7}:{(63,1),(64,1),(66,1),(75,1),(105,1),(107,1)}
        87:{1,2,5,7}:{(65,1),(68,1),(76,1),(106,1),(108,1)}
        88:{1,2,6}:{(66,1),(107,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(109,1)}
        91:{3,5,6}:{(69,1),(109,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(114,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,6}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1)}
        97:{2,4,5,7}:{(73,1),(75,1),(80,1),(105,1),(110,1),(114,1),(115,1),(134,1)}
        98:{2,3,5,7}:{(74,1),(76,1),(78,1),(81,1),(106,1),(111,1),(114,1),(116,1),(134,1)}
        99:{2,3,6}:{(75,1),(82,1),(107,1),(115,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,7}:{(79,1),(81,1),(114,1)}
       102:{1,4,6}:{(80,1),(82,1),(115,1),(118,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(117,1)}
       104:{1,4,6}:{(84,1),(85,1),(96,1),(119,1)}
       105:{1,4,5,7}:{(84,1),(86,1),(97,1),(119,1),(120,1),(135,1)}
       106:{1,3,5,7}:{(85,1),(87,1),(89,1),(98,1),(119,1),(121,1),(135,1)}
       107:{1,3,6}:{(86,1),(88,1),(99,1),(120,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,6}:{(90,1),(91,1),(96,1),(122,1)}
       110:{3,4,5,7}:{(90,1),(97,1),(122,1),(123,1),(136,1)}
       111:{3,5,7}:{(91,1),(92,1),(122,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,7}:{(96,1),(98,1),(101,1),(119,1),(122,1)}
       115:{2,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(127,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(126,1)}
       117:{1,4,6,7}:{(101,1),(102,1),(103,1),(126,1),(128,1)}
       118:{1,5,6}:{(102,1),(127,1),(128,1)}
       119:{1,4,7}:{(104,1),(106,1),(114,1)}
       120:{1,4,6}:{(105,1),(107,1),(115,1),(130,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(129,1)}
       122:{3,4,7}:{(109,1),(111,1),(114,1)}
       123:{3,4,6}:{(110,1),(115,1),(132,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6,7}:{(114,1),(115,1),(116,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,5,6}:{(115,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,4,6,7}:{(119,1),(120,1),(121,1),(126,1),(135,1)}
       130:{1,5,6}:{(120,1),(127,1),(135,1)}
       131:{3,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(136,1),(138,1)}
       132:{3,5,6}:{(123,1),(127,1),(136,1),(137,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(136,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(136,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       137:{4,5,6}:{(132,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2206 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2207 :   0:{1,2,3,4,7}:{(1,1),(2,1),(34,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(120,1),(148,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(57,1),(111,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(10,1),(13,1),(32,1),(34,1),(99,1),(136,1)}
         5:{1,2,3,6}:{(1,1),(10,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(90,1),(128,1)}
         8:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(23,1),(45,1),(50,1),(78,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(18,1),(20,1)}
        11:{1,2,3,6,7}:{(5,1),(19,1),(21,1),(85,1),(148,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(49,1)}
        13:{1,2,4,5}:{(6,1),(22,1),(23,1)}
        14:{1,2,4,5,7}:{(7,1),(24,1),(25,1),(28,1),(55,1),(57,1),(70,1),(109,1)}
        15:{1,2,3,6}:{(7,1),(25,1)}
        16:{1,2,3,5}:{(8,1),(28,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(36,1),(59,1),(60,1),(68,1),(97,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(32,1),(34,1),(136,1),(152,1)}
        20:{1,2,5,6}:{(10,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(32,1),(34,1),(66,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1)}
        23:{1,3,4,5}:{(13,1),(35,1),(36,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(42,1),(52,1),(71,1),(76,1),(88,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(37,1),(39,1)}
        26:{1,2,3,6,7}:{(15,1),(38,1),(40,1),(115,1),(128,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(39,1),(40,1),(41,1),(75,1)}
        28:{1,2,4,5}:{(16,1),(41,1),(42,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(44,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(43,1),(45,1),(50,1),(82,1),(85,1),(118,1),(146,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(44,1),(45,1),(46,1)}
        32:{1,2,5,7}:{(19,1),(20,1),(45,1)}
        33:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(48,1),(49,1),(84,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,6}:{(22,1),(23,1),(49,1),(50,1),(51,1)}
        36:{2,3,4,5}:{(23,1),(51,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(54,1)}
        38:{1,2,4,6,7}:{(25,1),(26,1),(53,1),(55,1),(57,1),(109,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(26,1),(27,1),(55,1),(57,1),(95,1)}
        41:{1,2,4,6}:{(27,1),(28,1),(57,1),(58,1)}
        42:{1,3,4,5}:{(28,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(29,1),(30,1),(53,1),(60,1),(68,1),(97,1),(100,1),(106,1),(133,1)}
        44:{2,3,5,6}:{(29,1),(31,1),(54,1),(60,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{1,4,5,6}:{(31,1),(61,1),(63,1)}
        47:{1,2,5,6,7}:{(32,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(63,1),(65,1),(66,1),(104,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(66,1),(67,1)}
        50:{1,3,4,7}:{(34,1),(35,1),(66,1),(68,1)}
        51:{2,3,4,6}:{(35,1),(36,1),(67,1),(68,1),(69,1)}
        52:{1,3,4,5}:{(36,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(37,1),(38,1),(43,1),(71,1),(76,1),(88,1),(112,1),(115,1),(126,1)}
        54:{1,3,5,6}:{(37,1),(39,1),(44,1),(71,1),(72,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{1,2,4,5,6}:{(39,1),(41,1),(72,1),(74,1),(75,1),(114,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(76,1)}
        58:{1,3,4,6}:{(41,1),(42,1),(75,1),(76,1),(77,1)}
        59:{2,3,4,5}:{(42,1),(77,1),(78,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(80,1)}
        61:{2,4,5,6}:{(44,1),(46,1),(72,1),(80,1),(81,1)}
        62:{1,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(85,1),(146,1),(153,1)}
        63:{1,4,5,7}:{(45,1),(46,1),(80,1),(82,1)}
        64:{1,3,4,5,6}:{(46,1),(49,1),(81,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(82,1),(85,1),(124,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(85,1),(86,1)}
        67:{2,3,5,6}:{(49,1),(51,1),(84,1),(86,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(51,1),(86,1),(88,1)}
        69:{1,3,4,6}:{(51,1),(52,1),(87,1),(88,1),(89,1)}
        70:{1,2,4,5}:{(52,1),(89,1),(90,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(60,1),(92,1)}
        72:{1,4,5,6}:{(54,1),(61,1),(92,1)}
        73:{1,2,5,6,7}:{(55,1),(91,1),(94,1),(142,1),(150,1)}
        74:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(92,1),(94,1),(95,1),(131,1)}
        75:{1,3,5,6}:{(56,1),(58,1),(95,1),(96,1)}
        76:{1,3,4,7}:{(57,1),(58,1),(95,1),(97,1)}
        77:{2,3,4,6}:{(58,1),(59,1),(96,1),(97,1),(98,1)}
        78:{1,3,4,5}:{(59,1),(98,1),(99,1)}
        79:{2,3,5,6,7}:{(60,1),(62,1),(91,1),(100,1),(106,1),(133,1),(139,1),(140,1),(150,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(63,1),(92,1),(100,1),(101,1)}
        81:{3,4,5,6}:{(61,1),(101,1)}
        82:{1,4,6,7}:{(62,1),(63,1),(100,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(101,1),(103,1),(104,1)}
        84:{2,4,5,6}:{(64,1),(67,1),(104,1),(105,1)}
        85:{1,3,6,7}:{(65,1),(66,1),(106,1)}
        86:{2,3,5,7}:{(66,1),(67,1),(68,1),(104,1),(106,1),(107,1)}
        87:{1,3,5,6}:{(67,1),(69,1),(105,1),(107,1),(108,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(107,1),(109,1)}
        89:{1,2,4,6}:{(69,1),(70,1),(108,1),(109,1),(110,1)}
        90:{1,2,3,5}:{(70,1),(110,1),(111,1)}
        91:{1,3,5,6,7}:{(71,1),(73,1),(79,1),(112,1),(115,1),(126,1),(149,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(80,1),(112,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(113,1),(114,1)}
        94:{1,2,4,6,7}:{(73,1),(74,1),(112,1),(115,1),(144,1)}
        95:{1,3,5,7}:{(74,1),(75,1),(76,1),(115,1),(116,1)}
        96:{2,3,5,6}:{(75,1),(77,1),(114,1),(116,1),(117,1)}
        97:{2,3,4,7}:{(76,1),(77,1),(116,1),(118,1)}
        98:{1,3,4,6}:{(77,1),(78,1),(117,1),(118,1),(119,1)}
        99:{1,2,4,5}:{(78,1),(119,1),(120,1)}
       100:{2,4,6,7}:{(79,1),(80,1),(82,1),(112,1),(122,1)}
       101:{3,4,5,7}:{(80,1),(81,1),(122,1)}
       102:{1,4,5,6,7}:{(82,1),(121,1),(123,1),(153,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(122,1),(123,1),(124,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,4,5,6}:{(84,1),(87,1),(125,1)}
       106:{2,3,6,7}:{(85,1),(86,1),(124,1),(126,1)}
       107:{1,3,5,7}:{(86,1),(87,1),(88,1),(125,1),(126,1),(127,1)}
       108:{1,2,5,6}:{(87,1),(89,1),(127,1)}
       109:{1,2,4,7}:{(88,1),(89,1),(127,1),(128,1)}
       110:{1,2,3,6}:{(89,1),(90,1),(128,1)}
       111:{1,2,3,4}:{(90,1)}
       112:{1,4,6,7}:{(91,1),(92,1),(100,1)}
       113:{1,3,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(130,1),(131,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(131,1),(132,1)}
       115:{1,3,6,7}:{(94,1),(95,1),(133,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(97,1),(131,1),(133,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(98,1),(132,1),(134,1),(135,1)}
       118:{1,3,4,7}:{(97,1),(98,1),(134,1),(136,1)}
       119:{1,2,4,6}:{(98,1),(99,1),(135,1),(136,1),(137,1)}
       120:{1,2,3,5}:{(99,1),(137,1),(138,1)}
       121:{2,4,5,6,7}:{(100,1),(102,1),(129,1),(139,1),(140,1),(150,1)}
       122:{3,4,6,7}:{(100,1),(101,1),(139,1)}
       123:{1,3,5,6,7}:{(102,1),(103,1),(139,1),(140,1)}
       124:{2,4,6,7}:{(103,1),(104,1),(106,1),(140,1),(141,1)}
       125:{1,4,5,7}:{(104,1),(105,1),(107,1),(141,1)}
       126:{1,3,6,7}:{(106,1),(107,1),(141,1),(142,1)}
       127:{1,2,5,7}:{(107,1),(108,1),(109,1),(142,1)}
       128:{1,2,3,7}:{(109,1),(110,1)}
       129:{1,4,5,6,7}:{(112,1),(121,1),(143,1),(149,1)}
       130:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(122,1),(143,1),(144,1)}
       131:{2,4,5,7}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,3,6,7}:{(115,1),(116,1),(144,1),(146,1)}
       134:{1,3,5,7}:{(116,1),(117,1),(118,1),(145,1),(146,1),(147,1)}
       135:{1,2,5,6}:{(117,1),(119,1),(147,1)}
       136:{1,2,4,7}:{(118,1),(119,1),(147,1),(148,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,3,4}:{(120,1)}
       139:{3,5,6,7}:{(121,1),(122,1)}
       140:{2,5,6,7}:{(123,1),(124,1),(149,1)}
       141:{1,4,6,7}:{(124,1),(125,1),(126,1),(149,1)}
       142:{1,2,6,7}:{(126,1),(127,1)}
       143:{1,3,5,6,7}:{(129,1),(130,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(130,1),(131,1),(133,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(131,1),(132,1),(134,1),(151,1)}
       146:{1,3,6,7}:{(133,1),(134,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       148:{1,2,3,7}:{(136,1),(137,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2208 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2209 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(59,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(59,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(59,1),(66,1),(89,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(45,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(75,1),(116,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(45,1),(118,1),(119,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(49,1),(51,1),(75,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(45,1),(78,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(59,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(88,1),(108,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(62,1),(110,1),(112,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(56,1),(59,1),(86,1),(89,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(65,1),(67,1),(88,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(40,1),(41,1),(115,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(41,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(42,1),(43,1),(48,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(43,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(41,1),(44,1),(45,1),(106,1),(118,1)}
        30:{1,2,4,7}:{(18,1),(42,1),(46,1),(47,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(43,1),(47,1),(48,1),(77,1),(100,1),(102,1)}
        32:{2,3,5}:{(19,1),(20,1),(48,1),(49,1)}
        33:{1,4,5}:{(20,1),(45,1),(49,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(40,1),(50,1),(51,1),(75,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(43,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(45,1),(52,1),(54,1),(106,1)}
        39:{1,3,5,6,7}:{(35,1),(55,1),(56,1),(86,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(34,1),(57,1),(58,1),(86,1),(107,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(29,1),(58,1),(59,1),(114,1),(121,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(60,1),(64,1)}
        43:{1,3,6}:{(27,1),(28,1),(36,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(58,1),(61,1),(62,1),(70,1),(96,1),(110,1)}
        45:{1,4,6}:{(29,1),(33,1),(59,1),(62,1)}
        46:{1,2,3,7}:{(30,1),(63,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(60,1),(63,1),(64,1),(92,1)}
        48:{1,3,5}:{(31,1),(32,1),(64,1),(65,1)}
        49:{2,4,5}:{(32,1),(33,1),(62,1),(65,1),(66,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(57,1),(67,1),(88,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(56,1),(59,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(62,1),(68,1),(69,1),(70,1),(96,1)}
        55:{2,5,6,7}:{(39,1),(51,1),(71,1),(72,1)}
        56:{1,4,6,7}:{(39,1),(52,1),(72,1),(115,1)}
        57:{1,3,6,7}:{(40,1),(43,1),(50,1),(73,1),(74,1)}
        58:{2,3,5,7}:{(40,1),(41,1),(44,1),(51,1),(74,1),(75,1),(83,1),(105,1),(116,1)}
        59:{1,4,7}:{(41,1),(45,1),(75,1)}
        60:{1,2,6}:{(42,1),(43,1)}
        61:{1,3,5,6}:{(43,1),(44,1),(48,1),(53,1),(74,1),(76,1),(77,1),(100,1)}
        62:{2,4,6}:{(44,1),(45,1),(49,1),(75,1),(77,1),(78,1)}
        63:{1,2,3,6}:{(46,1),(47,1),(79,1),(100,1)}
        64:{1,2,5}:{(47,1),(48,1)}
        65:{1,4,5}:{(48,1),(49,1),(77,1)}
        66:{3,4,5}:{(49,1),(78,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(72,1),(75,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(77,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(78,1),(83,1)}
        71:{1,5,6,7}:{(55,1),(67,1),(85,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(68,1),(85,1),(86,1),(107,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(107,1)}
        74:{1,3,5,7}:{(57,1),(58,1),(61,1),(67,1),(87,1),(88,1),(108,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(88,1),(89,1)}
        76:{1,2,5,6}:{(60,1),(61,1),(64,1),(87,1),(90,1),(96,1)}
        77:{1,4,6}:{(61,1),(62,1),(65,1),(88,1)}
        78:{3,4,6}:{(62,1),(66,1),(70,1),(89,1)}
        79:{1,2,3,5}:{(63,1),(64,1),(92,1),(93,1)}
        80:{1,2,4,5}:{(64,1),(65,1),(90,1),(92,1),(93,1),(94,1)}
        81:{1,3,4,5}:{(65,1),(66,1),(91,1),(93,1),(94,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(85,1),(88,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(86,1),(89,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(91,1),(95,1),(96,1)}
        85:{1,4,6,7}:{(71,1),(72,1),(82,1),(97,1)}
        86:{3,6,7}:{(72,1),(83,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(76,1),(98,1),(105,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1)}
        89:{3,4,7}:{(75,1),(78,1),(83,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(98,1),(100,1),(101,1)}
        91:{1,3,4,6}:{(77,1),(78,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        92:{1,2,4}:{(79,1),(102,1)}
        93:{1,3,5}:{(80,1),(100,1),(102,1),(103,1)}
        94:{2,4,5}:{(81,1),(101,1),(103,1),(104,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(97,1),(99,1),(105,1)}
        96:{2,5,6}:{(84,1),(101,1),(105,1),(106,1)}
        97:{1,3,6,7}:{(85,1),(86,1),(95,1),(107,1)}
        98:{1,2,4,7}:{(87,1),(88,1),(90,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(88,1),(89,1),(91,1),(95,1),(108,1),(109,1)}
       100:{1,3,6}:{(90,1),(93,1),(108,1),(110,1)}
       101:{2,4,6}:{(91,1),(94,1),(96,1),(109,1),(110,1),(111,1)}
       102:{1,3,4}:{(92,1),(93,1),(112,1)}
       103:{2,3,5}:{(93,1),(94,1),(110,1),(112,1),(113,1)}
       104:{1,4,5}:{(94,1),(111,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(107,1),(109,1),(114,1)}
       106:{1,5,6}:{(96,1),(111,1),(114,1)}
       107:{2,6,7}:{(97,1),(105,1),(115,1)}
       108:{1,3,7}:{(98,1),(100,1),(116,1)}
       109:{2,4,7}:{(99,1),(101,1),(105,1),(116,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(103,1),(116,1),(118,1)}
       111:{1,4,6}:{(101,1),(104,1),(106,1),(117,1),(118,1)}
       112:{2,3,4}:{(102,1),(103,1),(119,1)}
       113:{1,3,5}:{(103,1),(104,1),(118,1),(119,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(115,1),(117,1)}
       115:{1,6,7}:{(107,1),(114,1)}
       116:{2,3,7}:{(108,1),(109,1),(110,1),(121,1)}
       117:{1,4,7}:{(109,1),(111,1),(114,1),(121,1)}
       118:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       119:{1,3,4}:{(112,1),(113,1),(123,1)}
       120:{1,2,5}:{(113,1),(122,1),(123,1)}
       121:{1,3,7}:{(116,1),(117,1),(118,1),(124,1)}
       122:{1,2,6}:{(118,1),(120,1),(124,1)}
       123:{1,2,4}:{(119,1),(120,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

2210 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2211 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2212 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(79,1),(90,1),(92,1),(95,1),(148,1),(185,1),(193,1),(224,1),(225,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(105,1),(122,1),(161,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(106,1),(119,1),(161,1),(171,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(108,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(78,1),(134,1),(145,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(67,1),(103,1),(123,1),(160,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(25,1),(54,1),(58,1),(65,1),(103,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(207,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(235,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(44,1),(76,1),(93,1),(145,1),(152,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(193,1),(220,1)}
        20:{1,2,4,5,6}:{(32,1),(35,1),(75,1),(81,1),(133,1),(141,1),(151,1),(182,1),(189,1),(190,1),(193,1),(198,1),(220,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(134,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(52,1),(100,1),(103,1),(123,1),(158,1),(171,1),(177,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(21,1),(52,1),(170,1),(177,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(51,1),(55,1),(56,1),(166,1),(201,1),(210,1),(213,1),(237,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(52,1),(57,1),(58,1),(65,1),(103,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(108,1),(118,1),(127,1),(165,1),(208,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(160,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(165,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(75,1),(76,1),(93,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{1,3,4,6}:{(35,1),(73,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(74,1),(81,1),(82,1),(133,1),(139,1),(179,1),(190,1),(191,1),(220,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(75,1),(84,1),(92,1),(133,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(77,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(179,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(137,1),(188,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(225,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(188,1),(225,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(55,1),(100,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(56,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(57,1),(102,1),(122,1),(170,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(58,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(63,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{1,3,4,5}:{(55,1),(110,1),(166,1),(212,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(100,1),(110,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(101,1),(111,1),(112,1),(160,1),(166,1),(169,1),(201,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(103,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(104,1),(116,1),(117,1),(118,1),(124,1),(156,1),(162,1),(170,1),(177,1),(178,1),(201,1),(207,1),(208,1),(213,1),(214,1),(234,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(108,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(83,1),(129,1),(130,1),(144,1),(180,1),(194,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(81,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(82,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(84,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(89,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(90,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(91,1),(137,1),(138,1)}
       109:{2,3,4,6}:{(81,1),(128,1),(139,1),(140,1),(179,1),(191,1),(227,1),(228,1),(240,1)}
       110:{2,4,5}:{(80,1),(81,1),(139,1),(141,1),(190,1),(227,1)}
       111:{1,4,6}:{(81,1),(82,1),(131,1),(141,1)}
       112:{1,2,5,6}:{(82,1),(132,1),(142,1),(190,1),(220,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(133,1),(143,1),(145,1),(179,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(134,1),(144,1),(145,1),(146,1),(194,1),(199,1),(225,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(181,1),(193,1),(196,1),(197,1),(220,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(137,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(138,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(225,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(100,1),(109,1),(155,1),(156,1),(203,1),(214,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(113,1),(157,1),(170,1),(201,1),(213,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(110,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(111,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(112,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(117,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(119,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(120,1)}
       138:{1,3,5}:{(107,1),(108,1),(121,1),(165,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,3,4,6}:{(109,1),(111,1),(156,1),(166,1),(167,1),(169,1),(201,1),(210,1),(212,1),(236,1),(242,1)}
       141:{1,4,5}:{(110,1),(111,1),(166,1),(236,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(159,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(207,1),(217,1),(235,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(160,1),(170,1),(172,1),(201,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(162,1),(173,1),(174,1),(203,1),(213,1),(232,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(164,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(165,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(139,1),(179,1),(180,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(140,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(141,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(142,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(146,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(147,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(148,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(149,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(150,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(190,1),(244,1)}
       167:{2,4,6}:{(140,1),(181,1),(190,1),(191,1),(220,1),(227,1)}
       168:{1,2,4,5}:{(141,1),(142,1),(190,1),(192,1),(227,1)}
       169:{1,3,6}:{(142,1),(184,1),(191,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(220,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(186,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(187,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(188,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(213,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(166,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(167,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(168,1),(171,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(169,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(172,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(173,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(174,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(175,1),(208,1)}
       189:{1,2,4,6}:{(167,1),(200,1),(209,1),(210,1),(230,1),(236,1),(242,1)}
       190:{2,5}:{(166,1),(167,1)}
       191:{2,3,6}:{(167,1),(169,1),(203,1),(210,1),(211,1)}
       192:{1,3,5}:{(168,1),(169,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(206,1),(213,1),(215,1),(216,1),(232,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(207,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(208,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(181,1),(189,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(190,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(191,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(193,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(192,1),(194,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(195,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(196,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(197,1),(225,1)}
       209:{1,2,5}:{(189,1),(190,1),(226,1),(244,1)}
       210:{1,3,6}:{(189,1),(191,1),(219,1),(226,1)}
       211:{2,3,5}:{(190,1),(191,1),(192,1),(226,1),(227,1)}
       212:{1,3,4}:{(192,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(224,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(225,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(209,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(210,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(211,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(213,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(212,1),(214,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(215,1),(235,1)}
       225:{1,5}:{(208,1),(216,1)}
       226:{1,3,5}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4}:{(211,1),(212,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(235,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(226,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(227,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(228,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(229,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(236,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2213 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2214 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2215 :   0:{1,2,3,6,7}:{(2,1),(3,1),(51,1),(96,1),(117,1),(183,1),(420,1),(423,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(51,1),(58,1),(101,1),(183,1),(302,1),(312,1),(313,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(29,1),(89,1),(372,1),(373,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(139,1),(163,1),(241,1),(248,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(85,1),(144,1),(465,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(48,1),(99,1),(108,1),(192,1),(337,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(51,1),(97,1),(191,1),(301,1),(307,1),(420,1),(501,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(125,1),(501,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(216,1),(302,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(51,1),(195,1),(313,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(54,1),(302,1),(417,1)}
        11:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(65,1),(238,1),(392,1),(515,1),(516,1)}
        12:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(66,1),(77,1),(157,1),(164,1),(247,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(28,1),(64,1),(69,1),(79,1),(141,1),(149,1),(163,1),(247,1),(258,1),(382,1),(476,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(363,1),(365,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(28,1),(29,1),(373,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(29,1),(30,1),(74,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(30,1),(158,1),(248,1)}
        18:{2,3,4,6}:{(9,1),(28,1),(34,1),(35,1),(79,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(30,1),(36,1),(37,1),(72,1),(85,1),(158,1),(170,1),(254,1),(267,1),(364,1),(375,1),(465,1)}
        21:{1,2,3,5,6}:{(11,1),(38,1),(42,1),(91,1),(99,1),(108,1),(181,1),(214,1),(286,1),(335,1),(485,1),(486,1)}
        22:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(40,1),(49,1),(94,1),(99,1),(116,1),(213,1),(219,1),(337,1),(440,1)}
        23:{1,2,4,7}:{(11,1),(38,1),(40,1),(296,1),(440,1)}
        24:{1,2,5,7}:{(12,1),(39,1),(42,1),(214,1),(304,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(39,1),(43,1),(44,1),(200,1),(216,1),(304,1),(320,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(417,1),(501,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(51,1),(191,1),(303,1)}
        28:{2,3,4,7}:{(15,1),(18,1),(49,1),(50,1),(125,1),(330,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(51,1),(113,1)}
        31:{1,2,5,6,7}:{(17,1),(47,1),(52,1),(216,1),(308,1),(333,1),(419,1),(432,1)}
        32:{1,3,4,5}:{(19,1),(54,1),(55,1),(417,1),(427,1)}
        33:{1,2,3,6}:{(48,1),(53,1),(56,1),(227,1)}
        34:{1,3,4,6}:{(18,1),(49,1),(56,1),(57,1),(116,1),(122,1),(124,1),(227,1)}
        35:{2,3,5}:{(18,1),(19,1),(54,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(51,1),(55,1),(58,1),(59,1),(313,1),(428,1)}
        37:{1,2,4,5,7}:{(20,1),(52,1),(59,1),(110,1),(125,1),(216,1),(226,1),(314,1),(329,1),(419,1),(429,1),(501,1)}
        38:{1,2,4,6}:{(21,1),(23,1),(60,1),(61,1),(234,1),(344,1),(391,1)}
        39:{1,3,5,7}:{(22,1),(24,1),(25,1),(62,1),(63,1),(274,1),(276,1)}
        40:{1,3,4,7}:{(23,1),(60,1),(64,1),(65,1),(516,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(61,1),(62,1),(65,1),(66,1),(136,1)}
        42:{1,2,5,6}:{(24,1),(63,1),(66,1),(164,1),(242,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(62,1),(68,1),(69,1),(379,1),(476,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(63,1),(69,1),(79,1),(141,1),(145,1),(158,1),(242,1)}
        45:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(68,1),(74,1),(75,1),(86,1),(159,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(31,1),(70,1),(76,1),(80,1),(159,1),(249,1),(365,1),(466,1)}
        48:{1,2,3,7}:{(33,1),(77,1),(285,1)}
        49:{1,3,4,7}:{(28,1),(34,1),(77,1),(78,1),(174,1),(285,1)}
        50:{2,3,5,7}:{(28,1),(29,1),(35,1),(74,1),(78,1),(79,1)}
        51:{1,3,6}:{(29,1),(30,1),(79,1)}
        52:{1,2,4,6,7}:{(30,1),(31,1),(37,1),(76,1),(80,1),(163,1),(281,1),(385,1),(471,1)}
        53:{1,2,3,5}:{(33,1),(83,1),(87,1),(172,1)}
        54:{2,4,5}:{(32,1),(35,1),(84,1),(85,1)}
        55:{1,3,4,6}:{(32,1),(36,1),(85,1),(86,1),(465,1),(472,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(77,1),(83,1),(87,1),(164,1)}
        57:{1,3,5}:{(34,1),(35,1),(84,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(79,1),(85,1),(88,1),(89,1),(158,1),(267,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(80,1),(86,1),(89,1),(373,1),(473,1)}
        60:{1,3,4,6}:{(38,1),(40,1),(90,1),(91,1),(99,1),(398,1),(486,1)}
        61:{1,2,4,5}:{(38,1),(91,1),(177,1),(214,1),(334,1)}
        62:{1,4,5,7}:{(39,1),(43,1),(94,1),(334,1),(440,1)}
        63:{1,3,5,6}:{(39,1),(42,1),(44,1),(94,1),(99,1),(116,1),(215,1)}
        64:{2,3,4,7}:{(40,1),(90,1),(97,1),(98,1),(296,1),(493,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(91,1),(98,1),(99,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(94,1),(99,1),(188,1)}
        67:{1,2,5,6,7}:{(42,1),(95,1),(100,1),(220,1),(304,1),(336,1),(416,1),(432,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(200,1),(427,1),(506,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(94,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(95,1),(105,1),(117,1),(192,1),(200,1),(216,1),(304,1),(432,1),(434,1),(505,1)}
        71:{2,3,4,5}:{(54,1),(106,1),(107,1),(208,1),(327,1),(427,1)}
        72:{1,4,5,6}:{(46,1),(102,1),(109,1),(110,1),(303,1)}
        73:{1,2,3,5,7}:{(48,1),(53,1),(108,1),(111,1),(115,1),(214,1),(217,1),(286,1),(396,1),(483,1)}
        74:{2,4,5,7}:{(45,1),(50,1),(54,1),(112,1),(113,1),(125,1),(216,1)}
        75:{1,3,4,6}:{(45,1),(46,1),(51,1),(104,1),(109,1),(113,1)}
        76:{1,4,6,7}:{(46,1),(47,1),(105,1),(110,1),(501,1)}
        77:{1,2,4,7}:{(48,1),(49,1),(56,1),(115,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(57,1),(112,1),(115,1),(116,1)}
        79:{2,3,6}:{(50,1),(51,1),(113,1),(116,1)}
        80:{1,3,6,7}:{(51,1),(52,1),(59,1),(117,1),(505,1)}
        81:{1,2,3,5,6}:{(53,1),(108,1),(118,1),(119,1),(126,1),(214,1),(224,1),(227,1),(328,1),(332,1),(335,1),(339,1)}
        82:{1,3,4,5,6}:{(55,1),(109,1),(120,1),(121,1),(197,1),(206,1),(316,1),(341,1),(428,1),(441,1)}
        83:{1,2,4}:{(53,1),(122,1)}
        84:{1,4,5}:{(54,1),(57,1),(124,1)}
        85:{2,4,6}:{(54,1),(55,1),(58,1),(124,1),(125,1)}
        86:{1,3,4,7}:{(55,1),(59,1),(125,1),(501,1),(506,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(116,1),(124,1),(126,1),(127,1),(215,1),(227,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(117,1),(125,1),(127,1),(216,1),(329,1),(330,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(130,1),(131,1),(141,1),(234,1),(346,1),(453,1)}
        91:{1,3,5}:{(60,1),(61,1),(131,1)}
        92:{1,2,4,5,6}:{(61,1),(66,1),(132,1),(133,1),(134,1),(234,1),(242,1),(275,1),(354,1),(375,1),(391,1),(447,1),(451,1)}
        93:{1,3,4,5,7}:{(62,1),(65,1),(68,1),(128,1),(136,1),(137,1),(235,1),(243,1)}
        94:{1,4,6}:{(62,1),(63,1),(69,1)}
        95:{1,3,5,6,7}:{(63,1),(67,1),(70,1),(138,1),(142,1),(165,1),(243,1),(276,1),(392,1)}
        96:{1,2,3,7}:{(129,1),(139,1),(461,1)}
        97:{1,3,4,7}:{(64,1),(130,1),(139,1),(140,1),(358,1),(461,1)}
        98:{2,3,5,7}:{(64,1),(65,1),(131,1),(136,1),(140,1),(141,1)}
        99:{1,3,6}:{(65,1),(66,1),(141,1)}
       100:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(138,1),(142,1),(247,1),(457,1),(471,1),(519,1)}
       101:{1,2,3,5}:{(143,1),(144,1),(252,1),(253,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(134,1),(145,1),(146,1),(158,1),(242,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(74,1),(136,1),(147,1),(148,1),(154,1),(229,1),(260,1),(261,1),(349,1),(379,1),(383,1),(470,1),(476,1),(517,1)}
       104:{3,4,6}:{(68,1),(69,1),(145,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(76,1),(138,1),(146,1),(149,1),(476,1)}
       106:{1,3,4,5}:{(71,1),(84,1),(152,1),(153,1),(172,1),(253,1),(370,1)}
       107:{2,3,4,6}:{(71,1),(85,1),(150,1),(153,1),(154,1),(269,1),(386,1),(472,1)}
       108:{1,2,3,6}:{(73,1),(157,1),(164,1),(277,1),(512,1)}
       109:{1,3,5,6}:{(72,1),(75,1),(145,1),(158,1),(159,1)}
       110:{1,4,5,7}:{(72,1),(76,1),(146,1),(159,1),(365,1)}
       111:{1,2,4,7}:{(73,1),(83,1),(157,1),(160,1),(344,1)}
       112:{1,4,5,7}:{(74,1),(78,1),(84,1),(162,1),(174,1),(276,1)}
       113:{2,4,6}:{(74,1),(75,1),(79,1),(158,1),(162,1)}
       114:{1,3,4,6,7}:{(75,1),(76,1),(80,1),(86,1),(149,1),(159,1),(163,1)}
       115:{1,2,5,7}:{(77,1),(78,1),(87,1),(164,1)}
       116:{1,3,6}:{(78,1),(79,1),(162,1),(164,1)}
       117:{2,3,6,7}:{(79,1),(80,1),(89,1),(163,1),(165,1),(385,1)}
       118:{1,2,3,5,7}:{(81,1),(155,1),(166,1),(175,1),(272,1),(279,1),(285,1),(387,1),(392,1)}
       119:{1,2,4,6}:{(81,1),(83,1),(166,1),(168,1),(169,1),(386,1),(391,1)}
       120:{2,4,5,6}:{(82,1),(85,1),(150,1),(158,1),(170,1),(171,1),(267,1),(386,1),(477,1)}
       121:{1,3,4,5,7}:{(82,1),(86,1),(159,1),(167,1),(171,1),(256,1),(268,1),(376,1),(395,1),(473,1),(481,1)}
       122:{1,3,4}:{(83,1),(151,1),(172,1)}
       123:{1,2,4,5}:{(83,1),(84,1),(87,1),(152,1),(172,1),(173,1)}
       124:{1,4,6}:{(84,1),(85,1),(88,1),(174,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(174,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(164,1),(173,1),(175,1),(267,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(165,1),(174,1),(175,1),(276,1),(285,1)}
       128:{1,3,4,5}:{(91,1),(177,1),(178,1),(334,1),(427,1)}
       129:{1,2,3,6}:{(96,1),(176,1),(179,1),(412,1)}
       130:{1,3,4,6}:{(90,1),(97,1),(179,1),(180,1),(191,1),(293,1),(295,1),(412,1)}
       131:{2,3,5}:{(90,1),(91,1),(177,1),(180,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(99,1),(178,1),(181,1),(182,1),(428,1),(486,1)}
       133:{1,2,4,5,7}:{(92,1),(100,1),(182,1),(185,1),(296,1),(304,1),(336,1),(411,1),(429,1),(440,1),(487,1),(492,1)}
       134:{1,4,5,6}:{(94,1),(102,1),(184,1),(185,1),(215,1)}
       135:{1,2,3,5,7}:{(96,1),(101,1),(176,1),(183,1),(186,1),(190,1),(193,1),(302,1),(305,1),(310,1)}
       136:{2,4,5,7}:{(93,1),(98,1),(177,1),(187,1),(188,1),(296,1),(304,1)}
       137:{1,3,4,6}:{(93,1),(94,1),(99,1),(104,1),(184,1),(188,1)}
       138:{1,4,6,7}:{(94,1),(95,1),(105,1),(185,1),(440,1)}
       139:{1,2,4,7}:{(96,1),(97,1),(179,1),(190,1)}
       140:{1,3,5,7}:{(97,1),(98,1),(180,1),(187,1),(190,1),(191,1)}
       141:{2,3,6}:{(98,1),(99,1),(188,1),(191,1)}
       142:{1,3,6,7}:{(99,1),(100,1),(182,1),(192,1),(505,1)}
       143:{1,2,3,6}:{(101,1),(193,1),(194,1),(313,1)}
       144:{1,2,4}:{(101,1),(195,1)}
       145:{3,5,6}:{(102,1),(104,1),(200,1)}
       146:{2,4,5,7}:{(102,1),(105,1),(110,1),(185,1),(200,1),(216,1),(304,1)}
       147:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(187,1),(202,1),(203,1),(210,1),(217,1),(287,1),(305,1),(322,1),(334,1),(405,1),(417,1),(421,1),(427,1),(440,1),(501,1),(506,1),(531,1)}
       148:{2,3,4,6}:{(103,1),(104,1),(113,1),(188,1),(199,1),(203,1),(323,1),(433,1),(435,1),(504,1),(536,1)}
       149:{3,4,6,7}:{(104,1),(105,1),(200,1),(505,1),(506,1)}
       150:{2,3,5,6}:{(107,1),(120,1),(206,1),(207,1),(428,1)}
       151:{2,3,4}:{(122,1),(195,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(124,1),(206,1),(209,1),(210,1),(227,1),(313,1),(424,1)}
       154:{2,3,4,7}:{(107,1),(125,1),(207,1),(210,1),(330,1),(437,1),(506,1)}
       155:{1,2,3,6,7}:{(108,1),(118,1),(211,1),(220,1),(337,1),(339,1),(396,1),(436,1)}
       156:{1,4,5,6,7}:{(110,1),(198,1),(212,1),(416,1),(426,1),(510,1)}
       157:{1,2,4,6}:{(108,1),(111,1),(213,1),(214,1)}
       158:{2,5,6}:{(109,1),(113,1),(215,1),(216,1)}
       159:{1,3,5,7}:{(109,1),(110,1),(114,1),(200,1),(216,1)}
       160:{1,3,4,7}:{(111,1),(122,1),(201,1),(213,1),(217,1),(398,1),(440,1)}
       161:{1,2,4,5,7}:{(111,1),(112,1),(115,1),(123,1),(202,1),(214,1),(217,1),(218,1),(228,1),(334,1),(336,1),(399,1),(440,1),(483,1),(487,1),(531,1)}
       162:{1,4,6}:{(112,1),(113,1),(116,1),(215,1)}
       163:{2,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(216,1),(219,1)}
       164:{1,2,6}:{(115,1),(116,1)}
       165:{1,3,6,7}:{(116,1),(117,1),(127,1),(219,1),(220,1)}
       166:{1,2,4,7}:{(118,1),(119,1),(221,1),(437,1),(440,1)}
       167:{1,3,4,6,7}:{(121,1),(212,1),(223,1),(315,1),(326,1),(426,1),(505,1)}
       168:{1,3,4,6}:{(119,1),(122,1),(205,1),(221,1),(224,1),(227,1),(339,1)}
       169:{1,2,4,5}:{(119,1),(214,1),(224,1),(327,1),(334,1)}
       170:{1,4,5,6}:{(120,1),(124,1),(206,1),(215,1),(226,1),(424,1),(502,1)}
       171:{2,4,5,7}:{(120,1),(121,1),(125,1),(207,1),(216,1),(223,1),(226,1),(329,1),(437,1),(509,1)}
       172:{1,3,5}:{(122,1),(123,1),(208,1),(227,1)}
       173:{1,2,4,6}:{(123,1),(124,1),(126,1),(209,1),(227,1),(228,1)}
       174:{1,4,7}:{(124,1),(125,1),(127,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(220,1),(228,1),(329,1)}
       176:{1,2,3,5}:{(129,1),(232,1),(236,1),(356,1)}
       177:{2,4,5}:{(128,1),(131,1),(233,1),(234,1)}
       178:{1,3,4,6}:{(128,1),(132,1),(234,1),(235,1),(391,1),(472,1)}
       179:{1,2,4,6}:{(129,1),(130,1),(139,1),(232,1),(236,1),(248,1)}
       180:{1,3,5}:{(130,1),(131,1),(233,1),(236,1)}
       181:{2,3,5,6}:{(131,1),(132,1),(141,1),(234,1),(237,1),(238,1),(242,1),(451,1),(453,1)}
       182:{1,3,5,7}:{(132,1),(133,1),(142,1),(235,1),(238,1),(473,1),(516,1)}
       183:{1,2,3,6}:{(135,1),(241,1),(248,1),(366,1),(369,1)}
       184:{1,3,5,6}:{(134,1),(137,1),(145,1),(242,1),(243,1)}
       185:{1,4,5,7}:{(134,1),(138,1),(146,1),(243,1),(276,1)}
       186:{1,2,4,7}:{(135,1),(144,1),(232,1),(241,1),(244,1)}
       187:{1,4,5,7}:{(136,1),(140,1),(233,1),(246,1),(358,1),(365,1)}
       188:{2,4,6}:{(136,1),(137,1),(141,1),(242,1),(246,1)}
       189:{1,3,4,6,7}:{(137,1),(138,1),(142,1),(149,1),(235,1),(243,1),(247,1)}
       190:{1,2,5,7}:{(139,1),(140,1),(236,1),(248,1)}
       191:{1,3,6}:{(140,1),(141,1),(246,1),(248,1)}
       192:{2,3,6,7}:{(141,1),(142,1),(238,1),(247,1),(249,1),(519,1)}
       193:{1,2,3,7}:{(143,1),(250,1),(373,1)}
       194:{1,2,4,6}:{(143,1),(144,1),(250,1),(251,1),(252,1),(369,1)}
       195:{1,3,4}:{(144,1),(151,1),(253,1)}
       196:{1,2,4,5}:{(144,1),(152,1),(252,1),(253,1),(254,1),(370,1)}
       197:{3,4,5,6}:{(145,1),(255,1),(256,1),(472,1),(528,1)}
       198:{2,4,5,6,7}:{(146,1),(156,1),(240,1),(257,1),(273,1),(362,1),(374,1),(471,1),(530,1)}
       199:{2,3,5,6}:{(145,1),(148,1),(158,1),(242,1),(255,1),(259,1),(260,1),(477,1),(528,1),(546,1)}
       200:{3,5,7}:{(145,1),(146,1),(149,1)}
       201:{2,3,4,7}:{(151,1),(160,1),(244,1),(258,1),(261,1),(346,1),(476,1)}
       202:{2,4,5,7}:{(147,1),(152,1),(261,1),(262,1),(270,1),(347,1),(379,1),(381,1),(454,1),(476,1)}
       203:{1,3,4,6}:{(147,1),(148,1),(162,1),(246,1),(259,1),(262,1),(277,1),(366,1),(391,1),(465,1),(467,1),(472,1),(543,1)}
       204:{2,3,4,6,7}:{(148,1),(149,1),(154,1),(163,1),(247,1),(260,1),(263,1),(265,1),(349,1),(374,1),(382,1),(449,1),(476,1),(478,1),(529,1),(547,1)}
       205:{2,3,4,6}:{(151,1),(168,1),(251,1),(264,1),(266,1),(269,1),(384,1),(386,1)}
       206:{1,3,5,6}:{(150,1),(153,1),(170,1),(267,1),(268,1)}
       207:{2,3,5,7}:{(150,1),(154,1),(171,1),(265,1),(268,1),(473,1)}
       208:{2,3,5}:{(151,1),(152,1),(172,1),(253,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(267,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(174,1),(268,1),(270,1),(285,1),(373,1),(469,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(166,1),(271,1),(272,1),(280,1),(443,1),(478,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(159,1),(167,1),(257,1),(273,1),(481,1)}
       213:{1,3,4,6}:{(157,1),(160,1),(258,1),(274,1),(277,1),(391,1)}
       214:{1,2,5}:{(157,1),(274,1)}
       215:{1,5,6}:{(158,1),(162,1),(276,1)}
       216:{2,5,7}:{(158,1),(159,1),(163,1),(276,1)}
       217:{1,3,5,7}:{(160,1),(161,1),(172,1),(261,1),(274,1),(277,1),(285,1),(446,1),(516,1)}
       218:{1,2,4,6}:{(161,1),(162,1),(164,1),(262,1),(275,1),(277,1),(391,1),(512,1),(543,1)}
       219:{1,4,6,7}:{(162,1),(163,1),(165,1),(174,1),(276,1)}
       220:{1,2,6,7}:{(164,1),(165,1),(175,1),(385,1)}
       221:{1,3,4,7}:{(166,1),(168,1),(264,1),(279,1),(285,1)}
       222:{1,2,4,5,7}:{(166,1),(169,1),(272,1),(279,1),(280,1),(383,1),(388,1)}
       223:{2,4,6,7}:{(167,1),(171,1),(265,1),(273,1),(281,1),(385,1)}
       224:{1,3,5}:{(168,1),(169,1),(266,1)}
       225:{1,2,4,5,6}:{(169,1),(170,1),(173,1),(267,1),(275,1),(280,1),(283,1),(284,1),(375,1),(386,1),(391,1),(477,1),(479,1)}
       226:{1,4,5,7}:{(170,1),(171,1),(174,1),(268,1),(276,1),(281,1),(469,1),(527,1)}
       227:{1,3,6}:{(172,1),(173,1),(269,1),(285,1)}
       228:{1,2,4,7}:{(173,1),(174,1),(175,1),(270,1),(285,1)}
       229:{2,3,4,5}:{(177,1),(287,1),(288,1),(403,1),(427,1),(490,1)}
       230:{1,2,3,5,6}:{(176,1),(183,1),(289,1),(290,1),(297,1),(302,1),(409,1),(412,1),(415,1),(418,1),(491,1),(495,1)}
       231:{1,3,4,5,6}:{(178,1),(184,1),(197,1),(291,1),(292,1),(316,1),(401,1),(428,1),(497,1),(539,1)}
       232:{1,2,4}:{(176,1),(293,1)}
       233:{1,4,5}:{(177,1),(180,1),(295,1)}
       234:{2,4,6}:{(177,1),(178,1),(181,1),(295,1),(296,1)}
       235:{1,3,4,7}:{(178,1),(182,1),(296,1),(440,1),(506,1)}
       236:{1,2,5}:{(179,1),(180,1)}
       237:{1,3,5,6}:{(180,1),(181,1),(191,1),(295,1),(297,1),(298,1),(303,1),(412,1)}
       238:{2,3,5,7}:{(181,1),(182,1),(192,1),(296,1),(298,1),(304,1),(492,1),(493,1)}
       239:{1,2,3,6,7}:{(183,1),(193,1),(289,1),(299,1),(308,1),(420,1),(495,1),(537,1)}
       240:{1,4,5,6,7}:{(185,1),(198,1),(300,1),(333,1),(426,1),(541,1)}
       241:{1,2,4,6}:{(183,1),(186,1),(301,1),(302,1)}
       242:{2,5,6}:{(184,1),(188,1),(303,1),(304,1)}
       243:{1,3,5,7}:{(184,1),(185,1),(189,1),(200,1),(304,1)}
       244:{1,3,4,7}:{(186,1),(195,1),(201,1),(293,1),(301,1),(305,1),(501,1)}
       245:{1,2,4,5,7}:{(186,1),(187,1),(190,1),(196,1),(202,1),(294,1),(302,1),(305,1),(306,1),(310,1),(314,1),(413,1),(417,1),(419,1),(421,1),(501,1)}
       246:{1,4,6}:{(187,1),(188,1),(191,1),(303,1)}
       247:{2,4,6,7}:{(188,1),(189,1),(192,1),(296,1),(304,1),(307,1)}
       248:{1,2,6}:{(190,1),(191,1)}
       249:{1,3,6,7}:{(191,1),(192,1),(298,1),(307,1),(308,1)}
       250:{1,2,4,7}:{(193,1),(194,1),(309,1),(310,1)}
       251:{1,3,4,6}:{(194,1),(195,1),(205,1),(309,1),(311,1),(313,1),(422,1),(424,1)}
       252:{1,2,5}:{(194,1),(311,1)}
       253:{1,3,5}:{(195,1),(196,1),(208,1),(313,1)}
       254:{1,2,4,6}:{(196,1),(209,1),(312,1),(313,1),(314,1),(424,1)}
       255:{2,4,5,6}:{(197,1),(199,1),(316,1),(317,1),(433,1)}
       256:{3,4,5,7}:{(197,1),(200,1),(315,1),(317,1),(506,1),(542,1)}
       257:{3,5,6,7}:{(198,1),(200,1),(315,1),(505,1),(542,1)}
       258:{2,3,4,6}:{(201,1),(213,1),(301,1),(320,1),(323,1),(433,1)}
       259:{1,3,5,6}:{(199,1),(203,1),(215,1),(303,1),(316,1),(321,1),(322,1),(428,1),(502,1),(549,1)}
       260:{2,3,5,7}:{(199,1),(200,1),(204,1),(216,1),(304,1),(317,1),(322,1),(509,1),(542,1),(551,1)}
       261:{2,3,5,7}:{(201,1),(202,1),(208,1),(217,1),(305,1),(320,1),(323,1),(330,1),(403,1),(493,1)}
       262:{2,4,6}:{(202,1),(203,1),(321,1),(323,1)}
       263:{1,3,4,6,7}:{(203,1),(204,1),(210,1),(219,1),(307,1),(322,1),(324,1),(326,1),(337,1),(405,1),(420,1),(426,1),(440,1),(489,1),(501,1),(503,1),(505,1),(506,1),(550,1)}
       264:{2,3,4,7}:{(205,1),(221,1),(309,1),(325,1),(330,1),(437,1)}
       265:{2,3,6,7}:{(207,1),(223,1),(326,1),(505,1)}
       266:{2,3,5}:{(205,1),(224,1),(311,1),(327,1)}
       267:{2,5,6}:{(206,1),(209,1),(329,1)}
       268:{1,3,5,7}:{(206,1),(207,1),(210,1),(226,1),(326,1),(329,1)}
       269:{2,3,6}:{(208,1),(209,1),(227,1),(313,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(329,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(221,1),(318,1),(331,1),(337,1),(339,1),(438,1),(440,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(214,1),(331,1),(332,1),(509,1)}
       273:{2,5,6,7}:{(212,1),(216,1),(223,1),(333,1),(509,1)}
       274:{1,3,5}:{(213,1),(214,1),(320,1),(334,1)}
       275:{1,2,5,6}:{(214,1),(215,1),(218,1),(321,1),(335,1),(336,1),(549,1)}
       276:{1,5,7}:{(215,1),(216,1),(219,1)}
       277:{1,3,6}:{(217,1),(218,1),(323,1)}
       278:{1,2,4,6,7}:{(218,1),(219,1),(220,1),(228,1),(324,1),(336,1),(337,1),(440,1),(487,1),(533,1),(550,1)}
       279:{1,3,5,7}:{(221,1),(222,1),(224,1),(325,1),(339,1)}
       280:{1,2,4,6}:{(222,1),(332,1),(339,1),(435,1),(438,1)}
       281:{1,4,6,7}:{(223,1),(226,1),(326,1),(333,1)}
       282:{1,3,4,5}:{(224,1),(327,1),(334,1),(341,1),(427,1)}
       283:{1,3,5,6}:{(224,1),(225,1),(227,1),(328,1),(339,1),(341,1),(342,1),(428,1)}
       284:{1,2,4,5,7}:{(225,1),(226,1),(228,1),(329,1),(336,1),(340,1),(342,1),(429,1),(437,1),(440,1),(509,1),(510,1)}
       285:{1,3,7}:{(227,1),(228,1),(330,1)}
       286:{1,2,3,5}:{(343,1),(344,1),(445,1),(446,1)}
       287:{1,3,4,5}:{(229,1),(233,1),(347,1),(348,1),(356,1),(446,1),(513,1)}
       288:{2,3,4,6}:{(229,1),(234,1),(345,1),(348,1),(349,1),(453,1),(472,1),(520,1)}
       289:{1,2,3,5,7}:{(230,1),(239,1),(350,1),(359,1),(361,1),(455,1),(461,1),(466,1),(521,1)}
       290:{1,2,4,6}:{(230,1),(232,1),(350,1),(352,1),(353,1),(465,1),(520,1)}
       291:{2,4,5,6}:{(231,1),(234,1),(242,1),(345,1),(354,1),(355,1),(451,1),(520,1),(546,1)}
       292:{1,3,4,5,7}:{(231,1),(235,1),(243,1),(256,1),(351,1),(355,1),(376,1),(452,1),(473,1),(524,1),(548,1)}
       293:{1,3,4}:{(232,1),(346,1),(356,1)}
       294:{1,2,4,5}:{(232,1),(233,1),(236,1),(347,1),(356,1),(357,1)}
       295:{1,4,6}:{(233,1),(234,1),(237,1),(358,1)}
       296:{2,4,7}:{(234,1),(235,1),(238,1),(358,1)}
       297:{1,2,5,6}:{(236,1),(237,1),(248,1),(357,1),(359,1),(451,1)}
       298:{1,3,5,7}:{(237,1),(238,1),(249,1),(358,1),(359,1),(365,1),(461,1)}
       299:{1,2,4,6,7}:{(239,1),(241,1),(250,1),(350,1),(360,1),(361,1),(369,1),(456,1),(547,1)}
       300:{1,3,5,6,7}:{(240,1),(243,1),(257,1),(351,1),(362,1),(548,1)}
       301:{1,3,4,6}:{(241,1),(244,1),(258,1),(363,1),(366,1),(465,1)}
       302:{1,2,5}:{(241,1),(363,1)}
       303:{1,5,6}:{(242,1),(246,1),(365,1)}
       304:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       305:{1,3,5,7}:{(244,1),(245,1),(253,1),(261,1),(356,1),(363,1),(366,1),(373,1),(461,1)}
       306:{1,2,4,6}:{(245,1),(246,1),(248,1),(262,1),(364,1),(366,1),(369,1),(465,1),(467,1)}
       307:{1,4,6,7}:{(246,1),(247,1),(249,1),(358,1),(365,1)}
       308:{1,2,6,7}:{(248,1),(249,1),(359,1),(519,1)}
       309:{1,3,4,7}:{(250,1),(251,1),(264,1),(368,1),(373,1),(469,1)}
       310:{1,2,5,7}:{(250,1),(252,1),(368,1),(369,1)}
       311:{1,3,5}:{(251,1),(252,1),(266,1),(370,1)}
       312:{1,2,5,6}:{(252,1),(254,1),(267,1),(369,1),(371,1),(372,1)}
       313:{1,3,6}:{(253,1),(254,1),(269,1),(373,1)}
       314:{1,2,4,7}:{(254,1),(270,1),(372,1),(373,1),(469,1)}
       315:{3,4,6,7}:{(256,1),(257,1),(374,1)}
       316:{1,4,5,6}:{(255,1),(259,1),(375,1),(376,1),(391,1),(465,1)}
       317:{2,4,5,7}:{(255,1),(256,1),(260,1),(374,1),(376,1),(476,1)}
       318:{2,3,4,6,7}:{(258,1),(264,1),(271,1),(360,1),(377,1),(382,1),(384,1),(448,1),(474,1),(476,1),(478,1),(518,1),(529,1),(547,1)}
       319:{2,3,5,6,7}:{(257,1),(260,1),(265,1),(273,1),(362,1),(374,1),(378,1),(449,1)}
       320:{2,3,5}:{(258,1),(274,1),(363,1),(379,1)}
       321:{2,5,6}:{(259,1),(262,1),(381,1)}
       322:{1,3,5,7}:{(259,1),(260,1),(263,1),(276,1),(365,1),(376,1),(381,1),(473,1),(527,1),(552,1)}
       323:{2,3,6}:{(261,1),(262,1),(277,1),(366,1)}
       324:{2,4,6,7}:{(262,1),(263,1),(270,1),(381,1),(382,1),(385,1),(454,1),(476,1),(519,1)}
       325:{2,3,5,7}:{(264,1),(266,1),(279,1),(368,1),(383,1),(384,1)}
       326:{1,3,6,7}:{(265,1),(268,1),(281,1),(385,1)}
       327:{2,4,5}:{(266,1),(282,1),(370,1),(386,1)}
       328:{2,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(371,1),(384,1),(386,1),(387,1),(477,1)}
       329:{2,5,7}:{(267,1),(268,1),(270,1),(385,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(373,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(274,1),(377,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(280,1),(389,1),(477,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(281,1),(527,1)}
       334:{1,4,5}:{(274,1),(379,1),(391,1)}
       335:{1,3,5,6}:{(274,1),(275,1),(277,1),(380,1),(391,1),(392,1)}
       336:{1,2,5,7}:{(275,1),(276,1),(278,1),(381,1),(392,1),(552,1)}
       337:{1,3,6,7}:{(277,1),(278,1),(285,1),(382,1),(392,1),(516,1)}
       338:{1,3,4,5,7}:{(279,1),(282,1),(383,1),(388,1),(393,1),(395,1),(470,1),(481,1)}
       339:{1,3,6}:{(279,1),(280,1),(384,1)}
       340:{1,2,4,6,7}:{(280,1),(281,1),(284,1),(385,1),(390,1),(394,1),(471,1),(478,1),(480,1)}
       341:{1,3,4,6}:{(282,1),(283,1),(386,1),(391,1),(395,1),(472,1)}
       342:{1,3,5,7}:{(283,1),(284,1),(285,1),(387,1),(394,1),(395,1),(473,1)}
       343:{1,2,3,6}:{(286,1),(396,1),(397,1),(486,1)}
       344:{1,2,4}:{(286,1),(398,1)}
       345:{2,3,5,6}:{(288,1),(291,1),(401,1),(402,1),(428,1)}
       346:{2,3,4}:{(293,1),(398,1),(403,1)}
       347:{2,4,5}:{(287,1),(403,1),(404,1)}
       348:{1,3,4,6}:{(287,1),(288,1),(295,1),(401,1),(404,1),(405,1),(412,1),(486,1),(534,1)}
       349:{2,3,4,7}:{(288,1),(296,1),(402,1),(405,1),(493,1),(506,1),(538,1)}
       350:{1,2,4,7}:{(289,1),(290,1),(406,1),(501,1),(538,1)}
       351:{1,3,4,6,7}:{(292,1),(300,1),(315,1),(408,1),(426,1),(489,1),(505,1)}
       352:{1,3,4,6}:{(290,1),(293,1),(400,1),(406,1),(409,1),(412,1),(495,1)}
       353:{1,2,4,5}:{(290,1),(302,1),(409,1),(417,1),(490,1)}
       354:{1,4,5,6}:{(291,1),(295,1),(303,1),(401,1),(411,1),(534,1),(549,1)}
       355:{2,4,5,7}:{(291,1),(292,1),(296,1),(304,1),(402,1),(408,1),(411,1),(492,1),(538,1),(551,1)}
       356:{1,3,5}:{(293,1),(294,1),(403,1),(412,1)}
       357:{1,2,4,6}:{(294,1),(295,1),(297,1),(404,1),(412,1),(413,1)}
       358:{1,4,7}:{(295,1),(296,1),(298,1)}
       359:{1,2,5,7}:{(297,1),(298,1),(308,1),(413,1),(492,1)}
       360:{1,3,4,6,7}:{(299,1),(301,1),(309,1),(318,1),(406,1),(414,1),(420,1),(422,1),(495,1),(499,1),(501,1),(503,1)}
       361:{1,2,5,7}:{(299,1),(302,1),(414,1),(415,1),(551,1)}
       362:{2,5,6,7}:{(300,1),(304,1),(408,1),(416,1),(551,1)}
       363:{1,3,5}:{(301,1),(302,1),(320,1),(417,1)}
       364:{1,2,5,6}:{(302,1),(303,1),(306,1),(321,1),(418,1),(419,1),(502,1)}
       365:{1,5,7}:{(303,1),(304,1),(307,1)}
       366:{1,3,6}:{(305,1),(306,1),(323,1)}
       367:{1,2,4,6,7}:{(306,1),(307,1),(308,1),(314,1),(324,1),(413,1),(419,1),(420,1),(423,1),(501,1),(503,1)}
       368:{1,3,5,7}:{(309,1),(310,1),(311,1),(325,1),(421,1),(422,1)}
       369:{1,2,6}:{(310,1),(422,1)}
       370:{1,4,5}:{(311,1),(327,1),(424,1)}
       371:{1,3,5,6}:{(311,1),(312,1),(313,1),(328,1),(422,1),(424,1),(425,1),(502,1)}
       372:{1,2,5,7}:{(312,1),(314,1),(329,1),(423,1),(425,1)}
       373:{1,3,7}:{(313,1),(314,1),(330,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(319,1),(426,1)}
       375:{2,4,5,6}:{(316,1),(321,1),(428,1),(429,1),(433,1)}
       376:{1,4,5,7}:{(316,1),(317,1),(322,1),(426,1),(429,1),(440,1),(501,1)}
       377:{2,3,5,7}:{(318,1),(320,1),(331,1),(414,1),(430,1),(431,1),(509,1),(542,1),(551,1)}
       378:{1,3,5,6,7}:{(319,1),(322,1),(326,1),(333,1),(416,1),(426,1),(432,1),(489,1),(505,1)}
       379:{2,4,5}:{(320,1),(334,1),(417,1),(427,1),(433,1)}
       380:{2,3,5,6}:{(320,1),(321,1),(323,1),(335,1),(418,1),(428,1),(433,1),(434,1)}
       381:{2,5,7}:{(321,1),(322,1),(324,1)}
       382:{2,3,6,7}:{(323,1),(324,1),(330,1),(337,1),(420,1),(434,1),(493,1),(505,1)}
       383:{2,4,5,7}:{(325,1),(327,1),(338,1),(421,1),(435,1),(437,1),(509,1)}
       384:{2,3,6}:{(325,1),(339,1),(422,1),(435,1)}
       385:{2,6,7}:{(326,1),(329,1)}
       386:{2,4,6}:{(327,1),(328,1),(341,1),(424,1),(437,1)}
       387:{2,3,5,7}:{(328,1),(329,1),(330,1),(342,1),(425,1),(436,1),(437,1),(509,1)}
       388:{1,4,5,7}:{(331,1),(334,1),(430,1),(438,1),(440,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(339,1),(431,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(340,1),(432,1),(439,1),(509,1),(533,1)}
       391:{1,4,6}:{(334,1),(335,1),(433,1),(440,1)}
       392:{1,3,5,7}:{(335,1),(336,1),(337,1),(434,1),(440,1)}
       393:{1,3,4,6}:{(338,1),(339,1),(435,1),(438,1),(441,1),(504,1)}
       394:{1,3,6,7}:{(339,1),(340,1),(342,1),(436,1),(505,1)}
       395:{1,3,4,7}:{(341,1),(342,1),(437,1),(440,1),(506,1)}
       396:{1,2,3,7}:{(343,1),(443,1),(516,1)}
       397:{1,2,4,6}:{(343,1),(344,1),(443,1),(444,1),(445,1),(512,1)}
       398:{1,3,4}:{(344,1),(346,1),(446,1)}
       399:{1,2,4,5}:{(344,1),(347,1),(445,1),(446,1),(447,1),(513,1)}
       400:{2,3,4,6}:{(346,1),(352,1),(444,1),(448,1),(450,1),(453,1),(518,1),(520,1)}
       401:{1,3,5,6}:{(345,1),(348,1),(354,1),(451,1),(452,1)}
       402:{2,3,5,7}:{(345,1),(349,1),(355,1),(449,1),(452,1),(473,1)}
       403:{2,3,5}:{(346,1),(347,1),(356,1),(446,1),(453,1)}
       404:{2,4,6}:{(347,1),(348,1),(451,1),(453,1),(454,1)}
       405:{1,3,4,7}:{(348,1),(349,1),(358,1),(452,1),(454,1),(461,1),(516,1),(545,1)}
       406:{1,3,4,7}:{(350,1),(352,1),(448,1),(455,1),(461,1)}
       407:{1,2,4,5,7}:{(350,1),(353,1),(361,1),(455,1),(456,1),(462,1),(517,1)}
       408:{2,4,6,7}:{(351,1),(355,1),(362,1),(449,1),(457,1),(519,1)}
       409:{1,3,5}:{(352,1),(353,1),(450,1)}
       410:{1,2,4,5,6}:{(353,1),(354,1),(357,1),(364,1),(375,1),(451,1),(456,1),(459,1),(460,1),(465,1),(520,1),(525,1),(546,1)}
       411:{1,4,5,7}:{(354,1),(355,1),(358,1),(365,1),(452,1),(457,1),(545,1),(552,1)}
       412:{1,3,6}:{(356,1),(357,1),(453,1),(461,1)}
       413:{1,2,4,7}:{(357,1),(358,1),(359,1),(454,1),(461,1)}
       414:{1,3,5,7}:{(360,1),(361,1),(363,1),(377,1),(462,1),(463,1),(527,1)}
       415:{1,2,5,6}:{(361,1),(369,1),(456,1),(463,1),(546,1)}
       416:{1,5,6,7}:{(362,1),(365,1),(457,1),(552,1)}
       417:{1,4,5}:{(363,1),(379,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(380,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(381,1),(466,1),(527,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(373,1),(382,1),(461,1),(466,1)}
       421:{1,4,5,7}:{(368,1),(370,1),(383,1),(467,1),(469,1),(527,1)}
       422:{1,3,6}:{(368,1),(369,1),(384,1),(467,1)}
       423:{1,2,6,7}:{(369,1),(372,1),(385,1),(468,1)}
       424:{1,4,6}:{(370,1),(371,1),(386,1),(469,1)}
       425:{1,3,5,7}:{(371,1),(372,1),(373,1),(387,1),(468,1),(469,1),(527,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(378,1),(471,1)}
       427:{3,4,5}:{(379,1),(472,1)}
       428:{3,5,6}:{(375,1),(472,1),(473,1)}
       429:{2,4,5,7}:{(375,1),(376,1),(381,1),(471,1),(473,1),(476,1)}
       430:{2,4,5,7}:{(377,1),(379,1),(388,1),(462,1),(470,1),(474,1),(476,1)}
       431:{2,3,5,6}:{(377,1),(384,1),(389,1),(463,1),(474,1),(477,1),(518,1),(528,1),(546,1)}
       432:{2,5,6,7}:{(378,1),(381,1),(385,1),(471,1),(519,1)}
       433:{2,4,6}:{(379,1),(380,1),(391,1),(465,1),(472,1),(476,1)}
       434:{2,3,5,7}:{(380,1),(381,1),(382,1),(392,1),(466,1),(473,1),(476,1)}
       435:{2,4,6}:{(383,1),(384,1),(393,1),(467,1),(477,1)}
       436:{2,3,6,7}:{(384,1),(385,1),(387,1),(394,1),(468,1),(478,1)}
       437:{2,4,7}:{(386,1),(387,1),(395,1),(469,1)}
       438:{1,4,6}:{(388,1),(389,1),(474,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(394,1),(475,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,4,7}:{(391,1),(392,1),(476,1)}
       441:{1,3,5,6}:{(393,1),(477,1),(479,1),(481,1),(528,1)}
       442:{1,3,4,6,7}:{(393,1),(394,1),(395,1),(478,1),(480,1),(481,1),(529,1)}
       443:{1,2,4,7}:{(396,1),(397,1),(482,1),(483,1)}
       444:{1,3,4,6}:{(397,1),(398,1),(400,1),(482,1),(484,1),(486,1),(532,1),(534,1)}
       445:{1,2,5}:{(397,1),(484,1)}
       446:{1,3,5}:{(398,1),(399,1),(403,1),(486,1)}
       447:{1,2,4,6}:{(399,1),(404,1),(485,1),(486,1),(487,1),(534,1)}
       448:{2,3,4,7}:{(400,1),(406,1),(482,1),(488,1),(493,1),(538,1)}
       449:{2,3,6,7}:{(402,1),(408,1),(489,1),(505,1)}
       450:{2,3,5}:{(400,1),(409,1),(484,1),(490,1)}
       451:{2,5,6}:{(401,1),(404,1),(492,1)}
       452:{1,3,5,7}:{(401,1),(402,1),(405,1),(411,1),(489,1),(492,1)}
       453:{2,3,6}:{(403,1),(404,1),(412,1),(486,1),(493,1)}
       454:{2,4,7}:{(404,1),(405,1),(492,1),(493,1)}
       455:{1,3,5,7}:{(406,1),(407,1),(409,1),(488,1),(495,1)}
       456:{1,2,4,6}:{(407,1),(415,1),(495,1),(499,1),(536,1)}
       457:{1,4,6,7}:{(408,1),(411,1),(416,1),(489,1)}
       458:{1,3,4,5}:{(409,1),(417,1),(427,1),(490,1),(497,1)}
       459:{1,3,5,6}:{(409,1),(410,1),(412,1),(428,1),(491,1),(495,1),(497,1),(498,1)}
       460:{1,2,4,5,7}:{(410,1),(411,1),(413,1),(419,1),(429,1),(492,1),(496,1),(498,1),(501,1),(538,1),(541,1),(551,1)}
       461:{1,3,7}:{(412,1),(413,1),(493,1)}
       462:{1,4,5,7}:{(414,1),(417,1),(430,1),(499,1),(501,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(431,1),(495,1),(499,1),(502,1)}
       464:{1,2,5,6,7}:{(415,1),(416,1),(419,1),(423,1),(432,1),(496,1),(500,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(433,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(434,1),(501,1)}
       467:{1,4,6}:{(421,1),(422,1),(435,1),(502,1)}
       468:{1,3,6,7}:{(422,1),(423,1),(425,1),(436,1),(503,1)}
       469:{1,4,7}:{(424,1),(425,1),(437,1)}
       470:{3,4,5,7}:{(427,1),(430,1),(504,1),(506,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(432,1),(505,1)}
       472:{3,4,6}:{(427,1),(428,1),(433,1),(506,1)}
       473:{3,5,7}:{(428,1),(429,1),(505,1),(506,1)}
       474:{2,4,6}:{(430,1),(431,1),(438,1),(499,1),(504,1)}
       475:{2,3,5,6,7}:{(431,1),(432,1),(434,1),(436,1),(439,1),(500,1),(505,1),(508,1),(509,1),(537,1),(542,1),(551,1)}
       476:{2,4,7}:{(433,1),(434,1),(440,1),(501,1),(506,1)}
       477:{2,5,6}:{(435,1),(441,1),(502,1),(509,1)}
       478:{2,4,6,7}:{(435,1),(436,1),(437,1),(442,1),(503,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(441,1),(507,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(440,1),(508,1),(510,1)}
       481:{1,3,5,7}:{(441,1),(442,1),(509,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(448,1),(511,1),(516,1),(545,1)}
       483:{1,2,5,7}:{(443,1),(445,1),(511,1),(512,1)}
       484:{1,3,5}:{(444,1),(445,1),(450,1),(513,1)}
       485:{1,2,5,6}:{(445,1),(447,1),(451,1),(512,1),(514,1),(515,1)}
       486:{1,3,6}:{(446,1),(447,1),(453,1),(516,1)}
       487:{1,2,4,7}:{(447,1),(454,1),(515,1),(516,1),(545,1)}
       488:{2,3,5,7}:{(448,1),(450,1),(455,1),(511,1),(517,1),(518,1)}
       489:{1,3,6,7}:{(449,1),(452,1),(457,1),(519,1)}
       490:{2,4,5}:{(450,1),(458,1),(513,1),(520,1)}
       491:{2,3,5,6}:{(450,1),(451,1),(453,1),(459,1),(514,1),(518,1),(520,1),(521,1),(546,1)}
       492:{2,5,7}:{(451,1),(452,1),(454,1),(519,1)}
       493:{2,3,7}:{(453,1),(454,1),(461,1),(516,1)}
       494:{1,3,4,5,7}:{(455,1),(458,1),(462,1),(470,1),(517,1),(522,1),(524,1),(548,1)}
       495:{1,3,6}:{(455,1),(456,1),(518,1)}
       496:{1,2,4,6,7}:{(456,1),(457,1),(460,1),(464,1),(471,1),(519,1),(523,1),(526,1),(547,1)}
       497:{1,3,4,6}:{(458,1),(459,1),(465,1),(472,1),(520,1),(524,1)}
       498:{1,3,5,7}:{(459,1),(460,1),(461,1),(473,1),(521,1),(523,1),(524,1)}
       499:{1,4,6}:{(462,1),(463,1),(474,1)}
       500:{1,3,5,6,7}:{(463,1),(464,1),(466,1),(468,1),(475,1),(523,1),(526,1),(527,1),(548,1)}
       501:{1,4,7}:{(465,1),(466,1),(476,1)}
       502:{1,5,6}:{(467,1),(477,1),(527,1)}
       503:{1,4,6,7}:{(467,1),(468,1),(469,1),(478,1),(527,1)}
       504:{3,4,6}:{(470,1),(474,1),(528,1)}
       505:{3,6,7}:{(471,1),(473,1)}
       506:{3,4,7}:{(472,1),(473,1),(476,1)}
       507:{2,4,5,6}:{(474,1),(477,1),(479,1),(525,1),(528,1),(530,1),(546,1)}
       508:{2,4,6,7}:{(474,1),(475,1),(476,1),(480,1),(526,1),(529,1),(530,1)}
       509:{2,5,7}:{(477,1),(478,1),(481,1),(527,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(488,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{1,4,5}:{(484,1),(490,1),(534,1)}
       514:{1,3,5,6}:{(484,1),(485,1),(486,1),(491,1),(532,1),(534,1),(535,1),(549,1)}
       515:{1,2,5,7}:{(485,1),(487,1),(492,1),(533,1),(535,1)}
       516:{1,3,7}:{(486,1),(487,1),(493,1)}
       517:{2,4,5,7}:{(488,1),(490,1),(494,1),(531,1),(536,1),(538,1),(551,1)}
       518:{2,3,6}:{(488,1),(495,1),(532,1),(536,1)}
       519:{2,6,7}:{(489,1),(492,1)}
       520:{2,4,6}:{(490,1),(491,1),(497,1),(534,1),(538,1)}
       521:{2,3,5,7}:{(491,1),(492,1),(493,1),(498,1),(535,1),(537,1),(538,1),(551,1)}
       522:{1,3,4,6}:{(494,1),(495,1),(499,1),(504,1),(536,1),(539,1)}
       523:{1,3,6,7}:{(495,1),(496,1),(498,1),(505,1),(537,1)}
       524:{1,3,4,7}:{(497,1),(498,1),(501,1),(506,1),(538,1)}
       525:{1,4,5,6}:{(499,1),(502,1),(507,1),(539,1),(541,1)}
       526:{1,4,6,7}:{(499,1),(500,1),(501,1),(508,1),(541,1)}
       527:{1,5,7}:{(502,1),(503,1),(509,1)}
       528:{3,5,6}:{(504,1),(507,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(506,1),(508,1),(542,1)}
       530:{2,4,5,7}:{(507,1),(508,1),(509,1),(510,1),(541,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(517,1),(543,1),(545,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(518,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(519,1),(544,1)}
       534:{1,4,6}:{(513,1),(514,1),(520,1),(545,1)}
       535:{1,3,5,7}:{(514,1),(515,1),(516,1),(521,1),(544,1),(545,1),(552,1)}
       536:{2,4,6}:{(517,1),(518,1),(522,1),(543,1),(546,1)}
       537:{2,3,6,7}:{(518,1),(519,1),(521,1),(523,1),(544,1),(547,1)}
       538:{2,4,7}:{(520,1),(521,1),(524,1),(545,1)}
       539:{1,3,5,6}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6,7}:{(522,1),(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,7}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(536,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(537,1),(550,1)}
       545:{1,4,7}:{(534,1),(535,1),(538,1)}
       546:{2,5,6}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,7}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,6}:{(543,1),(546,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2216 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(56,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(24,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(34,1),(85,1),(158,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(12,1),(30,1),(42,1),(79,1),(99,1),(149,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(98,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(56,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(17,1),(119,1),(198,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(121,1),(134,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(17,1),(21,1),(56,1),(62,1),(119,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,3,5,6}:{(5,1),(19,1),(23,1),(24,1),(113,1)}
        12:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(25,1),(66,1),(133,1),(206,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(132,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(236,1),(283,1)}
        16:{2,3,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(70,1),(77,1),(136,1),(151,1),(171,1),(230,1),(279,1),(284,1),(285,1),(309,1)}
        17:{3,4,6,7}:{(7,1),(30,1),(34,1)}
        18:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(34,1),(35,1),(39,1),(74,1),(77,1)}
        19:{2,3,4,6}:{(8,1),(11,1),(36,1),(37,1),(98,1),(150,1),(159,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(88,1),(170,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(12,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(149,1)}
        24:{1,3,5,6}:{(11,1),(13,1),(37,1),(42,1),(43,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(87,1),(98,1),(146,1),(168,1),(170,1),(227,1),(238,1),(242,1),(243,1),(285,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(104,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(17,1),(46,1),(48,1),(56,1),(107,1),(119,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(17,1),(51,1),(198,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(259,1)}
        32:{2,3,4,6}:{(16,1),(50,1),(54,1),(192,1),(209,1),(259,1),(263,1),(297,1),(313,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(54,1),(55,1),(59,1),(102,1),(110,1),(115,1),(174,1),(190,1),(191,1),(208,1),(260,1),(261,1),(296,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(51,1),(56,1)}
        35:{1,3,5,6,7}:{(18,1),(22,1),(49,1),(56,1),(57,1),(62,1),(107,1),(110,1),(119,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(59,1),(133,1),(190,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(24,1),(59,1),(60,1),(123,1),(132,1)}
        38:{2,4,5}:{(20,1),(60,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(119,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(57,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(62,1),(66,1)}
        43:{2,5,6}:{(24,1),(60,1),(66,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(63,1),(66,1),(68,1),(112,1),(122,1),(130,1),(133,1),(186,1),(206,1),(208,1),(260,1),(268,1),(301,1)}
        45:{1,3,5,6}:{(26,1),(67,1),(68,1),(69,1),(113,1),(123,1),(203,1),(269,1),(300,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(72,1),(79,1),(139,1),(149,1),(219,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(140,1),(218,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(72,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,3,5,6}:{(31,1),(32,1),(77,1),(78,1),(236,1),(242,1),(282,1)}
        51:{2,4,5,7}:{(30,1),(31,1),(34,1),(77,1),(79,1),(284,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(227,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(82,1),(136,1),(157,1),(166,1),(222,1),(231,1),(284,1)}
        54:{1,3,4,6}:{(32,1),(33,1),(78,1),(83,1),(150,1),(153,1),(227,1),(243,1),(308,1)}
        55:{2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(89,1),(138,1),(147,1),(212,1),(228,1),(229,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(79,1),(85,1)}
        57:{2,5,6,7}:{(35,1),(85,1),(92,1),(143,1),(147,1)}
        58:{1,2,4,5}:{(38,1),(87,1),(88,1),(160,1),(170,1),(238,1)}
        59:{1,3,4,7}:{(36,1),(37,1),(42,1),(89,1),(161,1),(169,1)}
        60:{2,4,6}:{(37,1),(38,1),(43,1),(89,1),(90,1)}
        61:{2,3,5}:{(38,1),(88,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(85,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(86,1),(93,1),(94,1),(167,1),(221,1),(226,1),(281,1),(289,1)}
        65:{1,2,5,6}:{(43,1),(87,1),(95,1),(96,1),(238,1),(290,1)}
        66:{2,5,7}:{(42,1),(43,1),(89,1),(92,1)}
        67:{2,3,5,6}:{(43,1),(45,1),(90,1),(96,1),(97,1),(98,1),(159,1),(164,1),(238,1),(240,1),(242,1),(290,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(93,1),(97,1),(99,1),(149,1),(161,1),(309,1)}
        69:{1,3,4,6}:{(45,1),(98,1),(99,1),(100,1),(150,1),(227,1),(283,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(244,1),(253,1)}
        71:{2,3,5,6}:{(47,1),(101,1),(103,1),(104,1),(113,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(105,1),(178,1),(252,1),(256,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(251,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(119,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(105,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(57,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(198,1),(206,1),(256,1)}
        78:{1,3,5,6}:{(50,1),(52,1),(54,1),(110,1),(111,1),(113,1),(270,1),(298,1)}
        79:{1,4,5,7}:{(51,1),(52,1),(56,1),(110,1),(112,1),(260,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(189,1)}
        81:{1,2,4,5,7}:{(55,1),(58,1),(114,1),(115,1),(122,1),(173,1),(186,1),(193,1),(208,1),(245,1),(260,1),(261,1),(265,1),(268,1),(296,1),(301,1),(311,1)}
        82:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(62,1),(107,1),(110,1),(116,1),(119,1),(174,1),(190,1),(194,1),(205,1),(255,1),(260,1)}
        83:{2,4,6}:{(54,1),(55,1),(111,1),(117,1)}
        84:{2,3,5,7}:{(55,1),(61,1),(115,1),(117,1),(118,1),(125,1),(176,1),(197,1),(248,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(112,1),(119,1)}
        86:{2,3,5,6,7}:{(57,1),(64,1),(109,1),(119,1),(120,1),(128,1),(183,1),(188,1),(198,1),(206,1),(256,1),(258,1),(267,1),(303,1),(313,1)}
        87:{1,2,4,6}:{(58,1),(60,1),(65,1),(122,1),(123,1),(132,1),(201,1)}
        88:{1,3,5}:{(58,1),(61,1),(121,1),(123,1),(124,1)}
        89:{2,4,7}:{(59,1),(60,1),(66,1),(125,1)}
        90:{2,3,6}:{(60,1),(61,1),(123,1),(125,1)}
        91:{2,3,4}:{(61,1),(124,1)}
        92:{2,6,7}:{(62,1),(66,1)}
        93:{1,3,6,7}:{(63,1),(68,1),(119,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(120,1),(130,1),(260,1),(302,1)}
        95:{1,2,5,7}:{(65,1),(66,1),(122,1),(127,1),(131,1),(268,1)}
        96:{1,3,5,6}:{(65,1),(67,1),(123,1),(131,1),(132,1),(203,1),(269,1),(270,1)}
        97:{2,3,5,7}:{(66,1),(67,1),(68,1),(125,1),(128,1),(131,1),(133,1),(200,1),(206,1),(268,1)}
        98:{2,4,6}:{(67,1),(69,1),(132,1),(133,1),(134,1)}
        99:{1,3,4,7}:{(68,1),(69,1),(133,1),(190,1),(260,1),(299,1)}
       100:{1,3,4,5}:{(69,1),(134,1),(191,1),(203,1),(261,1),(300,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(136,1),(137,1),(150,1),(218,1),(271,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(211,1),(278,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(149,1)}
       104:{1,3,5,6}:{(71,1),(73,1),(137,1),(139,1),(140,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(146,1),(210,1),(218,1),(224,1),(227,1),(278,1),(282,1),(285,1),(305,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(85,1),(141,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(86,1),(144,1),(145,1),(165,1),(223,1),(226,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(82,1),(147,1),(149,1),(241,1),(281,1)}
       111:{2,5,6}:{(78,1),(83,1),(147,1)}
       112:{2,4,5,7}:{(79,1),(80,1),(85,1),(147,1),(149,1),(228,1)}
       113:{3,5,6}:{(80,1),(149,1),(150,1)}
       114:{1,2,4,6}:{(81,1),(83,1),(146,1),(153,1),(227,1),(232,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       115:{1,3,5,7}:{(81,1),(84,1),(88,1),(151,1),(153,1),(154,1),(161,1),(211,1),(234,1),(273,1),(309,1)}
       116:{2,4,6,7}:{(82,1),(83,1),(89,1),(92,1),(143,1),(147,1),(155,1),(212,1),(228,1)}
       117:{2,3,6}:{(83,1),(84,1),(153,1)}
       118:{2,3,4,7}:{(84,1),(91,1),(154,1),(156,1),(214,1),(228,1)}
       119:{3,6,7}:{(85,1),(149,1)}
       120:{2,4,6,7}:{(86,1),(94,1),(145,1),(157,1),(158,1),(228,1),(284,1),(287,1),(310,1)}
       121:{2,3,5}:{(88,1),(159,1),(160,1),(238,1)}
       122:{1,2,4,7}:{(87,1),(89,1),(95,1),(161,1),(169,1),(237,1)}
       123:{1,3,6}:{(87,1),(88,1),(90,1),(159,1),(161,1)}
       124:{1,3,4}:{(88,1),(91,1),(160,1)}
       125:{2,3,7}:{(89,1),(90,1),(161,1)}
       126:{2,3,4,6}:{(90,1),(91,1),(98,1),(162,1),(163,1),(164,1),(240,1),(283,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(97,1),(165,1),(166,1),(240,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(99,1),(157,1),(166,1),(167,1),(172,1)}
       130:{1,4,5,7}:{(94,1),(158,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(97,1),(161,1),(165,1),(169,1),(241,1)}
       132:{1,4,6}:{(96,1),(98,1),(169,1),(170,1)}
       133:{2,4,7}:{(97,1),(98,1),(99,1),(169,1)}
       134:{2,4,5}:{(98,1),(100,1),(164,1),(170,1),(238,1)}
       135:{1,3,4,5,7}:{(99,1),(100,1),(167,1),(171,1),(172,1),(230,1),(239,1),(286,1),(309,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(174,1),(190,1),(252,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(104,1),(174,1),(175,1),(246,1),(251,1)}
       138:{2,4,5}:{(102,1),(175,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(174,1),(178,1)}
       140:{2,5,6}:{(104,1),(175,1),(178,1)}
       141:{1,2,4,5,7}:{(105,1),(106,1),(108,1),(112,1),(178,1),(180,1),(185,1),(186,1),(245,1),(252,1),(256,1),(260,1),(296,1),(301,1),(311,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(179,1),(180,1),(181,1),(246,1),(294,1),(300,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(178,1)}
       144:{1,3,6,7}:{(108,1),(119,1),(180,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(120,1),(185,1),(260,1),(302,1)}
       146:{1,2,5,6}:{(111,1),(114,1),(186,1),(187,1),(265,1),(270,1),(298,1),(303,1)}
       147:{2,5,7}:{(110,1),(111,1),(116,1)}
       148:{2,3,5,6}:{(111,1),(113,1),(117,1),(187,1),(188,1),(189,1),(197,1)}
       149:{3,5,7}:{(112,1),(113,1),(119,1),(190,1)}
       150:{3,4,6}:{(113,1),(189,1),(190,1),(191,1)}
       151:{2,3,5,7}:{(115,1),(121,1),(192,1),(193,1),(200,1),(244,1),(265,1),(268,1),(291,1),(311,1)}
       152:{1,2,4,6,7}:{(114,1),(116,1),(122,1),(127,1),(182,1),(186,1),(194,1),(205,1),(245,1),(255,1),(260,1),(264,1)}
       153:{1,3,6}:{(114,1),(115,1),(117,1),(192,1),(313,1)}
       154:{1,3,4,7}:{(115,1),(118,1),(124,1),(193,1),(195,1),(247,1),(260,1),(299,1)}
       155:{2,3,6,7}:{(116,1),(117,1),(119,1),(125,1),(188,1),(194,1),(248,1)}
       156:{2,3,4,6}:{(117,1),(118,1),(189,1),(195,1),(197,1)}
       157:{3,4,6,7}:{(119,1),(120,1),(190,1),(198,1),(263,1),(299,1),(313,1)}
       158:{2,4,5,7}:{(120,1),(130,1),(185,1),(198,1),(199,1),(206,1),(256,1)}
       159:{2,3,6}:{(121,1),(123,1),(200,1),(201,1)}
       160:{2,4}:{(121,1),(124,1)}
       161:{1,3,7}:{(122,1),(123,1),(125,1),(200,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(132,1),(201,1),(202,1),(203,1),(269,1)}
       163:{2,3,4,7}:{(125,1),(126,1),(133,1),(202,1),(204,1),(299,1)}
       164:{2,3,5}:{(126,1),(134,1),(203,1),(300,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(133,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(198,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(199,1),(207,1),(298,1),(302,1)}
       169:{1,4,7}:{(131,1),(132,1),(133,1)}
       170:{1,4,5}:{(132,1),(134,1),(203,1)}
       171:{2,4,5,7}:{(133,1),(134,1),(135,1),(204,1),(206,1),(208,1),(209,1),(268,1)}
       172:{1,3,4,6}:{(135,1),(207,1),(209,1),(263,1),(269,1),(302,1),(313,1)}
       173:{1,2,4,5}:{(138,1),(210,1),(211,1),(272,1),(278,1),(305,1)}
       174:{1,3,4,7}:{(136,1),(137,1),(139,1),(212,1),(273,1),(277,1)}
       175:{2,4,6}:{(137,1),(138,1),(140,1),(212,1),(213,1)}
       176:{2,3,5}:{(138,1),(211,1),(213,1),(214,1)}
       177:{1,2,5,6}:{(140,1),(210,1),(215,1),(216,1),(305,1),(314,1)}
       178:{2,5,7}:{(139,1),(140,1),(143,1),(212,1)}
       179:{2,3,5,6}:{(140,1),(142,1),(213,1),(216,1),(217,1),(218,1),(271,1),(276,1),(282,1),(305,1),(307,1),(314,1)}
       180:{1,3,5,7}:{(141,1),(142,1),(144,1),(149,1),(217,1),(219,1),(273,1),(309,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(218,1),(219,1),(220,1),(227,1),(283,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(217,1),(221,1),(222,1),(307,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(157,1),(219,1),(222,1),(223,1),(280,1)}
       185:{1,4,5,7}:{(145,1),(158,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(147,1),(152,1),(226,1),(241,1),(281,1),(288,1)}
       187:{1,3,5,6}:{(146,1),(148,1),(153,1),(225,1),(226,1),(227,1),(234,1)}
       188:{2,3,5,7}:{(147,1),(148,1),(149,1),(155,1),(226,1),(228,1)}
       189:{2,4,6}:{(148,1),(150,1),(227,1),(228,1),(229,1)}
       190:{3,4,7}:{(149,1),(150,1),(228,1)}
       191:{3,4,5}:{(150,1),(229,1)}
       192:{2,3,6}:{(151,1),(153,1),(232,1),(290,1),(314,1)}
       193:{2,4,7}:{(151,1),(154,1),(160,1),(232,1),(272,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(155,1),(161,1),(226,1),(231,1),(273,1)}
       195:{1,3,4,6}:{(153,1),(154,1),(156,1),(227,1),(232,1),(234,1),(283,1)}
       196:{2,3,4,6,7}:{(155,1),(156,1),(157,1),(163,1),(166,1),(222,1),(228,1),(233,1),(235,1),(240,1),(275,1),(287,1),(307,1)}
       197:{2,3,5}:{(156,1),(229,1),(234,1)}
       198:{3,5,7}:{(157,1),(158,1),(236,1)}
       199:{2,4,5,6}:{(158,1),(168,1),(224,1),(236,1),(242,1),(282,1),(287,1),(310,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{2,4,6}:{(159,1),(160,1),(162,1),(237,1),(238,1),(290,1)}
       202:{1,3,4,7}:{(161,1),(162,1),(163,1),(169,1),(237,1),(239,1)}
       203:{1,3,5}:{(162,1),(164,1),(170,1),(238,1)}
       204:{2,3,5,7}:{(163,1),(164,1),(171,1),(239,1),(240,1),(309,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(172,1),(236,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(239,1),(241,1),(243,1)}
       209:{2,4,6}:{(171,1),(172,1),(240,1),(242,1),(243,1),(290,1)}
       210:{1,2,4,6}:{(173,1),(175,1),(177,1),(245,1),(246,1),(251,1),(292,1)}
       211:{1,3,5}:{(173,1),(176,1),(244,1),(246,1),(247,1)}
       212:{2,4,7}:{(174,1),(175,1),(178,1),(248,1)}
       213:{2,3,6}:{(175,1),(176,1),(246,1),(248,1)}
       214:{2,3,4}:{(176,1),(247,1)}
       215:{1,2,5,7}:{(177,1),(178,1),(182,1),(245,1),(250,1),(311,1)}
       216:{1,3,5,6}:{(177,1),(179,1),(246,1),(250,1),(251,1),(294,1),(298,1),(312,1)}
       217:{2,3,5,7}:{(178,1),(179,1),(180,1),(183,1),(248,1),(250,1),(252,1),(256,1),(291,1),(311,1)}
       218:{2,4,6}:{(179,1),(181,1),(251,1),(252,1),(253,1)}
       219:{1,3,4,7}:{(180,1),(181,1),(190,1),(252,1),(260,1),(299,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(253,1),(261,1),(294,1),(300,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(252,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(198,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(199,1),(257,1),(270,1),(302,1)}
       225:{2,3,5,6}:{(187,1),(192,1),(258,1),(259,1),(265,1),(300,1),(303,1),(313,1)}
       226:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(258,1),(260,1)}
       227:{1,4,6}:{(187,1),(189,1),(259,1),(260,1),(261,1)}
       228:{2,4,7}:{(188,1),(189,1),(190,1),(260,1)}
       229:{2,4,5}:{(189,1),(191,1),(197,1),(261,1)}
       230:{3,4,5,7}:{(190,1),(191,1),(198,1),(262,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(194,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{2,4,6}:{(192,1),(193,1),(195,1),(265,1)}
       233:{1,3,4,6,7}:{(194,1),(195,1),(196,1),(202,1),(205,1),(255,1),(260,1),(264,1),(266,1),(269,1),(293,1),(299,1),(302,1),(312,1),(313,1)}
       234:{1,3,5}:{(195,1),(197,1),(261,1),(265,1),(300,1)}
       235:{2,3,5,7}:{(196,1),(197,1),(198,1),(206,1),(256,1),(262,1),(266,1),(267,1)}
       236:{3,5,6}:{(198,1),(199,1),(263,1),(313,1)}
       237:{2,4,7}:{(200,1),(201,1),(202,1),(268,1)}
       238:{2,5}:{(201,1),(203,1)}
       239:{1,3,5,7}:{(202,1),(203,1),(204,1),(208,1),(268,1),(269,1)}
       240:{2,3,6}:{(204,1),(209,1),(269,1),(313,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{2,3,5}:{(211,1),(271,1),(272,1),(305,1)}
       245:{1,2,4,7}:{(210,1),(212,1),(215,1),(273,1),(277,1),(304,1)}
       246:{1,3,6}:{(210,1),(211,1),(213,1),(271,1),(273,1)}
       247:{1,3,4}:{(211,1),(214,1),(272,1)}
       248:{2,3,7}:{(212,1),(213,1),(273,1)}
       249:{2,3,4,6}:{(213,1),(214,1),(218,1),(274,1),(275,1),(276,1),(283,1),(307,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(217,1),(221,1),(273,1),(277,1),(281,1)}
       251:{1,4,6}:{(216,1),(218,1),(277,1),(278,1)}
       252:{2,4,7}:{(217,1),(218,1),(219,1),(277,1)}
       253:{2,4,5}:{(218,1),(220,1),(276,1),(278,1),(305,1)}
       254:{1,3,4,5,7}:{(219,1),(220,1),(223,1),(230,1),(279,1),(280,1),(286,1),(306,1),(309,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(236,1),(280,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(226,1),(231,1),(284,1),(288,1),(309,1)}
       259:{2,4,6}:{(225,1),(227,1),(283,1),(284,1),(285,1)}
       260:{1,4,7}:{(226,1),(227,1),(228,1),(284,1)}
       261:{1,4,5}:{(227,1),(229,1),(234,1),(285,1)}
       262:{2,4,5,7}:{(228,1),(229,1),(230,1),(235,1),(286,1),(287,1)}
       263:{3,4,6}:{(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(233,1),(237,1),(284,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{2,5}:{(232,1),(234,1)}
       266:{1,3,5,7}:{(233,1),(234,1),(235,1),(241,1),(281,1),(286,1),(288,1),(289,1),(309,1)}
       267:{2,3,5,6}:{(235,1),(236,1),(240,1),(242,1),(282,1),(287,1),(289,1),(307,1)}
       268:{2,5,7}:{(237,1),(238,1),(239,1),(290,1)}
       269:{1,3,6}:{(239,1),(240,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{2,3,6}:{(244,1),(246,1),(291,1),(292,1)}
       272:{2,4}:{(244,1),(247,1)}
       273:{1,3,7}:{(245,1),(246,1),(248,1),(291,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(251,1),(292,1),(293,1),(294,1),(312,1)}
       275:{2,3,4,7}:{(248,1),(249,1),(252,1),(293,1),(295,1),(299,1)}
       276:{2,3,5}:{(249,1),(253,1),(294,1),(300,1)}
       277:{1,4,7}:{(250,1),(251,1),(252,1)}
       278:{1,4,5}:{(251,1),(253,1),(294,1)}
       279:{2,4,5,7}:{(252,1),(253,1),(254,1),(256,1),(295,1),(296,1),(297,1),(311,1)}
       280:{1,3,4,6}:{(254,1),(257,1),(263,1),(297,1),(302,1),(312,1),(313,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{3,4,6}:{(259,1),(299,1),(300,1),(313,1)}
       284:{2,4,7}:{(258,1),(259,1),(260,1),(299,1)}
       285:{2,4,5}:{(259,1),(261,1),(265,1),(300,1)}
       286:{1,4,5,7}:{(260,1),(261,1),(262,1),(266,1),(301,1),(302,1)}
       287:{2,4,6}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(266,1),(303,1)}
       289:{1,3,5,6}:{(266,1),(267,1),(269,1),(270,1),(298,1),(302,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{2,4,6}:{(271,1),(272,1),(274,1),(304,1),(305,1),(314,1)}
       293:{1,3,4,7}:{(273,1),(274,1),(275,1),(277,1),(304,1),(306,1)}
       294:{1,3,5}:{(274,1),(276,1),(278,1),(305,1)}
       295:{2,3,5,7}:{(275,1),(276,1),(279,1),(306,1),(307,1),(309,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(279,1),(281,1),(306,1),(308,1)}
       297:{2,4,6}:{(279,1),(280,1),(282,1),(307,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(284,1),(309,1)}
       300:{3,5}:{(283,1),(285,1)}
       301:{2,4,5,7}:{(284,1),(285,1),(286,1),(288,1),(309,1),(310,1)}
       302:{1,4,6}:{(286,1),(287,1),(289,1),(310,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,5}:{(292,1),(294,1)}
       306:{1,3,5,7}:{(293,1),(294,1),(295,1),(296,1),(311,1),(312,1)}
       307:{2,3,6}:{(295,1),(297,1),(312,1),(313,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2217 :   0:{1,2,5,6,7}:{(1,1),(2,1),(48,1),(86,1),(101,1),(143,1),(151,1)}
         1:{1,3,5,6,7}:{(0,1),(5,1),(7,1),(8,1),(29,1),(60,1),(114,1),(122,1),(172,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(128,1),(177,1),(183,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(28,1),(33,1),(73,1),(78,1),(128,1),(133,1),(134,1),(171,1),(177,1),(183,1),(218,1),(222,1),(241,1)}
         4:{1,2,5,6,7}:{(10,1),(11,1),(50,1),(84,1),(102,1),(142,1),(151,1)}
         5:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(17,1),(38,1),(42,1),(48,1),(84,1),(93,1),(151,1),(152,1),(202,1)}
         6:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(45,1),(48,1),(99,1),(143,1),(150,1),(153,1),(155,1),(197,1)}
         7:{1,4,6,7}:{(1,1),(13,1),(15,1),(149,1),(197,1)}
         8:{1,3,6,7}:{(2,1),(14,1),(17,1),(154,1),(202,1)}
         9:{1,3,5,6}:{(3,1),(14,1),(18,1),(19,1),(104,1),(154,1),(162,1),(202,1),(234,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(21,1),(22,1),(31,1),(58,1),(74,1),(122,1),(132,1)}
        11:{1,2,4,6,7}:{(4,1),(20,1),(21,1),(22,1),(59,1),(168,1),(177,1),(214,1)}
        12:{1,2,4,5,6}:{(20,1),(23,1),(57,1),(62,1),(113,1),(118,1),(131,1),(168,1),(173,1),(174,1),(177,1),(187,1),(214,1),(222,1),(244,1)}
        13:{2,4,6,7}:{(5,1),(7,1),(21,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(9,1),(26,1),(27,1),(178,1),(182,1)}
        15:{1,4,5,7}:{(7,1),(24,1),(28,1),(29,1),(114,1)}
        16:{1,3,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(29,1),(30,1),(69,1)}
        17:{2,3,6,7}:{(8,1),(27,1),(30,1),(31,1),(125,1),(183,1)}
        18:{1,3,4,6}:{(9,1),(26,1),(32,1),(33,1),(218,1),(221,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(33,1),(34,1),(73,1),(76,1),(125,1),(134,1),(135,1),(183,1)}
        20:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(36,1),(81,1),(84,1),(102,1),(140,1),(150,1),(160,1),(190,1),(192,1)}
        21:{1,4,6,7}:{(10,1),(13,1),(36,1),(149,1),(160,1)}
        22:{1,3,6,7}:{(11,1),(35,1),(38,1),(191,1),(202,1)}
        23:{1,3,5,6}:{(12,1),(35,1),(39,1),(40,1),(145,1),(191,1),(199,1),(202,1),(234,1)}
        24:{2,4,5,7}:{(13,1),(15,1),(36,1),(41,1),(42,1),(48,1),(84,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(203,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(45,1),(197,1),(203,1)}
        27:{2,3,5,7}:{(14,1),(17,1),(19,1),(45,1),(46,1),(48,1),(155,1),(156,1)}
        28:{1,4,5,6}:{(15,1),(41,1),(47,1),(142,1),(149,1),(210,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(42,1),(47,1),(48,1)}
        30:{2,4,6,7}:{(16,1),(17,1),(45,1),(48,1),(49,1),(98,1)}
        31:{1,3,6,7}:{(17,1),(46,1),(49,1),(50,1),(154,1)}
        32:{1,3,4,5}:{(18,1),(52,1),(104,1),(164,1),(232,1),(234,1)}
        33:{2,4,6}:{(18,1),(19,1),(45,1),(52,1),(53,1)}
        34:{1,3,5,6}:{(19,1),(46,1),(53,1),(54,1),(101,1),(104,1),(107,1),(154,1)}
        35:{1,3,5,7}:{(20,1),(22,1),(23,1),(55,1),(56,1),(178,1),(213,1)}
        36:{1,4,5,7}:{(21,1),(24,1),(57,1),(58,1),(74,1)}
        37:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(55,1),(58,1),(59,1),(109,1)}
        38:{2,3,6,7}:{(22,1),(56,1),(59,1),(60,1),(165,1),(214,1)}
        39:{1,3,4,6}:{(23,1),(55,1),(61,1),(62,1),(187,1),(221,1)}
        40:{2,3,5,6}:{(23,1),(56,1),(62,1),(63,1),(113,1),(116,1),(165,1),(174,1),(175,1),(214,1)}
        41:{2,4,5,6}:{(24,1),(28,1),(57,1),(65,1),(73,1),(113,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(65,1)}
        43:{2,3,4,6,7}:{(25,1),(30,1),(59,1),(66,1),(67,1),(68,1),(108,1),(120,1),(124,1),(125,1),(165,1),(180,1),(221,1),(225,1),(239,1)}
        44:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(64,1),(69,1),(70,1),(121,1),(126,1),(178,1),(186,1),(226,1)}
        45:{2,4,7}:{(26,1),(27,1),(33,1),(71,1)}
        46:{1,3,5,7}:{(27,1),(31,1),(34,1),(71,1),(72,1),(74,1),(130,1)}
        47:{1,3,5,6}:{(28,1),(29,1),(65,1),(69,1),(73,1),(226,1)}
        48:{2,5,7}:{(29,1),(30,1),(73,1),(74,1)}
        49:{1,4,6,7}:{(30,1),(31,1),(71,1),(74,1),(128,1)}
        50:{1,2,6,7}:{(31,1),(72,1),(183,1)}
        51:{2,3,4,6}:{(33,1),(68,1),(76,1),(77,1),(125,1),(135,1),(189,1),(221,1),(225,1)}
        52:{2,4,5}:{(32,1),(33,1),(76,1),(78,1),(134,1),(189,1)}
        53:{1,4,6}:{(33,1),(34,1),(71,1),(78,1)}
        54:{1,2,5,6}:{(34,1),(72,1),(79,1),(134,1),(183,1)}
        55:{1,3,4,7}:{(35,1),(39,1),(81,1),(160,1),(203,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(40,1),(81,1),(82,1),(84,1),(192,1),(193,1)}
        57:{1,4,5,6}:{(36,1),(41,1),(83,1),(101,1),(149,1),(232,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(42,1),(83,1),(84,1)}
        59:{2,4,6,7}:{(37,1),(38,1),(81,1),(84,1),(85,1),(139,1)}
        60:{1,3,6,7}:{(38,1),(82,1),(85,1),(86,1),(191,1)}
        61:{1,3,4,5}:{(39,1),(88,1),(145,1),(201,1),(210,1),(234,1)}
        62:{2,4,6}:{(39,1),(40,1),(81,1),(88,1),(89,1)}
        63:{1,3,5,6}:{(40,1),(82,1),(89,1),(90,1),(142,1),(145,1),(148,1),(191,1)}
        64:{3,4,5,7}:{(42,1),(91,1),(92,1),(203,1),(234,1)}
        65:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(48,1),(84,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(49,1),(85,1),(94,1),(95,1),(97,1),(103,1),(138,1),(144,1),(149,1),(154,1),(160,1),(191,1),(197,1),(202,1),(203,1),(209,1),(231,1),(235,1),(242,1)}
        68:{2,3,4,7}:{(45,1),(51,1),(96,1),(97,1),(156,1),(203,1),(208,1)}
        69:{1,3,4,6}:{(44,1),(47,1),(91,1),(98,1),(149,1),(154,1),(202,1)}
        70:{2,4,5,7}:{(44,1),(45,1),(48,1),(52,1),(96,1),(98,1),(99,1),(155,1),(208,1),(236,1)}
        71:{1,4,7}:{(45,1),(46,1),(53,1)}
        72:{1,2,5,7}:{(46,1),(50,1),(54,1),(100,1),(155,1)}
        73:{2,5,6}:{(47,1),(48,1),(98,1),(101,1),(236,1)}
        74:{1,5,7}:{(48,1),(49,1),(101,1)}
        75:{1,2,4,6,7}:{(49,1),(50,1),(95,1),(100,1),(102,1),(103,1),(157,1),(160,1),(190,1),(227,1),(242,1)}
        76:{2,3,5}:{(51,1),(52,1),(104,1),(234,1),(236,1)}
        77:{1,3,4,6}:{(51,1),(53,1),(97,1),(104,1),(105,1),(107,1),(154,1),(162,1),(164,1),(211,1),(235,1)}
        78:{1,4,5}:{(52,1),(53,1),(104,1),(211,1)}
        79:{1,2,4,6}:{(53,1),(54,1),(100,1),(105,1),(106,1),(107,1)}
        80:{1,3,4,5,7}:{(55,1),(58,1),(61,1),(64,1),(109,1),(110,1),(121,1),(166,1),(178,1),(217,1),(240,1)}
        81:{2,4,7}:{(55,1),(56,1),(62,1),(111,1)}
        82:{1,3,5,7}:{(56,1),(60,1),(63,1),(111,1),(112,1),(114,1),(170,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(65,1),(109,1),(113,1),(240,1)}
        84:{2,5,7}:{(58,1),(59,1),(113,1),(114,1)}
        85:{1,4,6,7}:{(59,1),(60,1),(111,1),(114,1),(168,1)}
        86:{1,2,6,7}:{(60,1),(112,1),(214,1)}
        87:{2,3,4,6}:{(62,1),(108,1),(116,1),(117,1),(165,1),(175,1),(220,1),(221,1),(239,1)}
        88:{2,4,5}:{(61,1),(62,1),(116,1),(118,1),(174,1),(220,1)}
        89:{1,4,6}:{(62,1),(63,1),(111,1),(118,1)}
        90:{1,2,5,6}:{(63,1),(112,1),(119,1),(174,1),(214,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,4,5,7}:{(64,1),(66,1),(120,1),(121,1),(180,1),(222,1)}
        93:{2,3,5,6}:{(65,1),(66,1),(73,1),(113,1),(120,1),(122,1),(125,1),(165,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(74,1),(114,1),(121,1),(122,1),(123,1),(178,1),(226,1),(240,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(127,1),(167,1),(177,1),(180,1),(183,1),(214,1),(225,1),(239,1)}
        96:{2,3,5,7}:{(68,1),(70,1),(76,1),(125,1),(126,1),(178,1)}
        97:{1,3,4,7}:{(68,1),(71,1),(77,1),(126,1),(127,1),(130,1),(182,1),(224,1)}
        98:{2,4,6}:{(69,1),(70,1),(73,1),(125,1),(128,1),(183,1)}
        99:{1,4,5,7}:{(70,1),(71,1),(74,1),(78,1),(126,1),(128,1),(224,1),(241,1)}
       100:{1,2,4,7}:{(71,1),(72,1),(79,1),(127,1),(130,1)}
       101:{1,5,6}:{(73,1),(74,1),(128,1),(241,1)}
       102:{1,2,5,7}:{(74,1),(75,1),(123,1),(131,1),(132,1),(244,1)}
       103:{1,3,6,7}:{(75,1),(124,1),(130,1),(132,1),(185,1),(213,1),(237,1)}
       104:{1,3,5}:{(76,1),(77,1),(78,1),(134,1),(241,1)}
       105:{2,4,6}:{(77,1),(127,1),(134,1),(135,1),(183,1),(189,1)}
       106:{1,2,4,5}:{(78,1),(79,1),(134,1),(136,1),(189,1)}
       107:{1,3,6}:{(79,1),(130,1),(135,1),(136,1)}
       108:{2,3,4,7}:{(81,1),(87,1),(137,1),(138,1),(193,1),(203,1),(230,1)}
       109:{1,3,4,6}:{(80,1),(83,1),(91,1),(139,1),(149,1),(191,1),(202,1)}
       110:{2,4,5,7}:{(80,1),(81,1),(84,1),(88,1),(137,1),(139,1),(140,1),(192,1),(230,1),(243,1)}
       111:{1,4,7}:{(81,1),(82,1),(89,1)}
       112:{1,2,5,7}:{(82,1),(86,1),(90,1),(141,1),(192,1)}
       113:{2,5,6}:{(83,1),(84,1),(139,1),(142,1),(243,1)}
       114:{1,5,7}:{(84,1),(85,1),(142,1)}
       115:{1,2,4,6,7}:{(85,1),(86,1),(95,1),(141,1),(143,1),(144,1),(153,1),(194,1),(197,1),(205,1),(235,1)}
       116:{2,3,5}:{(87,1),(88,1),(145,1),(234,1),(243,1)}
       117:{1,3,4,6}:{(87,1),(89,1),(138,1),(145,1),(146,1),(148,1),(191,1),(199,1),(201,1),(233,1),(242,1)}
       118:{1,4,5}:{(88,1),(89,1),(145,1),(233,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(141,1),(146,1),(147,1),(148,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,4,5,7}:{(92,1),(94,1),(149,1),(150,1),(160,1),(197,1),(210,1),(232,1)}
       122:{1,3,5,6}:{(93,1),(94,1),(101,1),(142,1),(149,1),(151,1),(154,1),(191,1),(202,1)}
       123:{2,5,7}:{(94,1),(95,1),(151,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(103,1),(144,1),(152,1),(156,1),(193,1),(202,1),(207,1),(229,1)}
       125:{2,3,6}:{(96,1),(98,1),(154,1),(202,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(99,1),(104,1),(154,1),(155,1)}
       127:{2,4,7}:{(97,1),(105,1),(155,1),(156,1)}
       128:{1,4,6}:{(98,1),(99,1),(101,1),(154,1)}
       129:{1,2,4,5,7}:{(99,1),(100,1),(102,1),(106,1),(150,1),(155,1),(157,1),(158,1),(160,1),(208,1),(210,1),(236,1)}
       130:{1,3,7}:{(100,1),(107,1),(156,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(151,1),(157,1),(159,1),(227,1),(236,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(152,1),(159,1),(160,1)}
       133:{1,2,4,6}:{(105,1),(153,1),(161,1),(162,1),(205,1),(211,1),(235,1)}
       134:{2,5}:{(104,1),(105,1)}
       135:{2,3,6}:{(105,1),(107,1),(156,1),(162,1),(163,1)}
       136:{1,3,5}:{(106,1),(107,1),(163,1),(164,1)}
       137:{2,3,5,7}:{(108,1),(110,1),(116,1),(165,1),(166,1),(178,1)}
       138:{1,3,4,7}:{(108,1),(111,1),(117,1),(166,1),(167,1),(170,1),(213,1),(238,1)}
       139:{2,4,6}:{(109,1),(110,1),(113,1),(165,1),(168,1),(214,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(114,1),(118,1),(166,1),(168,1),(238,1),(244,1)}
       141:{1,2,4,7}:{(111,1),(112,1),(119,1),(167,1),(170,1)}
       142:{1,5,6}:{(113,1),(114,1),(168,1),(244,1)}
       143:{1,2,5,7}:{(114,1),(115,1),(123,1),(171,1),(172,1),(241,1)}
       144:{1,3,6,7}:{(115,1),(124,1),(170,1),(172,1),(182,1),(216,1),(223,1)}
       145:{1,3,5}:{(116,1),(117,1),(118,1),(174,1),(244,1)}
       146:{2,4,6}:{(117,1),(167,1),(174,1),(175,1),(214,1),(220,1)}
       147:{1,2,4,5}:{(118,1),(119,1),(174,1),(176,1),(220,1)}
       148:{1,3,6}:{(119,1),(170,1),(175,1),(176,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,4,5,7}:{(121,1),(123,1),(177,1),(178,1),(180,1),(222,1)}
       151:{2,5,6}:{(122,1),(123,1),(177,1),(183,1),(214,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(132,1),(172,1),(178,1),(179,1),(180,1)}
       153:{1,2,4,7}:{(127,1),(133,1),(181,1),(182,1),(224,1)}
       154:{1,3,6}:{(125,1),(126,1),(128,1),(183,1)}
       155:{2,5,7}:{(126,1),(127,1),(134,1),(183,1)}
       156:{2,3,7}:{(127,1),(130,1),(135,1),(182,1)}
       157:{1,2,4,6}:{(128,1),(129,1),(131,1),(177,1),(183,1),(185,1),(187,1),(225,1)}
       158:{1,3,5,7}:{(129,1),(130,1),(136,1),(178,1),(184,1),(185,1),(186,1),(226,1)}
       159:{1,3,5,6}:{(131,1),(132,1),(179,1),(185,1),(187,1),(226,1),(237,1),(244,1)}
       160:{1,4,7}:{(132,1),(180,1),(187,1)}
       161:{1,2,5}:{(133,1),(134,1),(188,1),(241,1)}
       162:{1,3,6}:{(133,1),(135,1),(182,1),(188,1)}
       163:{2,3,5}:{(134,1),(135,1),(136,1),(188,1),(189,1)}
       164:{1,3,4}:{(136,1),(189,1)}
       165:{2,3,6}:{(137,1),(139,1),(191,1),(202,1)}
       166:{1,3,5,7}:{(137,1),(138,1),(140,1),(145,1),(191,1),(192,1)}
       167:{2,4,7}:{(138,1),(146,1),(192,1),(193,1)}
       168:{1,4,6}:{(139,1),(140,1),(142,1),(191,1)}
       169:{1,2,4,5,7}:{(140,1),(141,1),(143,1),(147,1),(150,1),(192,1),(194,1),(195,1),(197,1),(230,1),(232,1),(243,1)}
       170:{1,3,7}:{(141,1),(148,1),(193,1)}
       171:{1,2,5,6}:{(142,1),(143,1),(151,1),(194,1),(196,1),(205,1),(243,1)}
       172:{1,3,5,7}:{(143,1),(144,1),(152,1),(196,1),(197,1)}
       173:{1,2,4,6}:{(146,1),(190,1),(198,1),(199,1),(227,1),(233,1),(242,1)}
       174:{2,5}:{(145,1),(146,1)}
       175:{2,3,6}:{(146,1),(148,1),(193,1),(199,1),(200,1)}
       176:{1,3,5}:{(147,1),(148,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{3,5,7}:{(150,1),(202,1),(203,1),(234,1)}
       179:{2,3,5,6}:{(151,1),(152,1),(159,1),(196,1),(202,1),(204,1),(207,1),(229,1),(234,1),(236,1),(243,1)}
       180:{2,4,7}:{(152,1),(160,1),(197,1),(203,1),(204,1)}
       181:{1,2,5,7}:{(153,1),(155,1),(161,1),(205,1),(206,1)}
       182:{1,3,7}:{(153,1),(156,1),(162,1)}
       183:{2,6}:{(154,1),(155,1)}
       184:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(206,1),(207,1),(208,1),(236,1)}
       185:{1,3,6}:{(157,1),(158,1),(202,1),(207,1)}
       186:{1,3,4,7}:{(158,1),(160,1),(164,1),(203,1),(208,1),(209,1)}
       187:{1,4,6}:{(159,1),(160,1),(204,1),(210,1)}
       188:{1,3,5}:{(161,1),(162,1),(163,1),(211,1)}
       189:{2,4}:{(163,1),(164,1),(211,1)}
       190:{1,2,4,7}:{(167,1),(173,1),(212,1),(213,1),(238,1)}
       191:{1,3,6}:{(165,1),(166,1),(168,1),(214,1)}
       192:{2,5,7}:{(166,1),(167,1),(174,1),(214,1)}
       193:{2,3,7}:{(167,1),(170,1),(175,1),(213,1)}
       194:{1,2,4,6}:{(168,1),(169,1),(171,1),(177,1),(214,1),(216,1),(218,1),(239,1)}
       195:{1,3,5,7}:{(169,1),(170,1),(176,1),(178,1),(215,1),(216,1),(217,1),(240,1)}
       196:{1,3,5,6}:{(171,1),(172,1),(179,1),(216,1),(218,1),(223,1),(240,1),(241,1)}
       197:{1,4,7}:{(172,1),(180,1),(218,1)}
       198:{1,2,5}:{(173,1),(174,1),(219,1),(244,1)}
       199:{1,3,6}:{(173,1),(175,1),(213,1),(219,1)}
       200:{2,3,5}:{(174,1),(175,1),(176,1),(219,1),(220,1)}
       201:{1,3,4}:{(176,1),(220,1)}
       202:{3,6}:{(177,1),(178,1)}
       203:{3,4,7}:{(178,1),(180,1),(221,1)}
       204:{2,4,6}:{(179,1),(180,1),(187,1),(218,1),(221,1),(222,1)}
       205:{1,2,6}:{(181,1),(183,1),(223,1)}
       206:{1,3,5,7}:{(181,1),(182,1),(184,1),(188,1),(223,1),(224,1),(241,1)}
       207:{2,3,6}:{(183,1),(184,1),(185,1),(223,1),(225,1)}
       208:{2,4,7}:{(184,1),(186,1),(189,1),(224,1),(225,1)}
       209:{1,3,4,6}:{(185,1),(186,1),(187,1),(221,1),(225,1),(226,1)}
       210:{1,4,5}:{(187,1),(222,1),(226,1),(244,1)}
       211:{1,4}:{(188,1),(189,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(198,1),(227,1),(228,1)}
       213:{1,3,7}:{(190,1),(193,1),(199,1)}
       214:{2,6}:{(191,1),(192,1)}
       215:{2,3,5,7}:{(192,1),(193,1),(195,1),(200,1),(228,1),(229,1),(230,1),(243,1)}
       216:{1,3,6}:{(194,1),(195,1),(202,1),(229,1)}
       217:{1,3,4,7}:{(195,1),(197,1),(201,1),(203,1),(230,1),(231,1)}
       218:{1,4,6}:{(196,1),(197,1),(204,1),(232,1)}
       219:{1,3,5}:{(198,1),(199,1),(200,1),(233,1)}
       220:{2,4}:{(200,1),(201,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(204,1),(210,1),(232,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(207,1),(235,1)}
       224:{1,4,7}:{(206,1),(208,1),(211,1),(235,1)}
       225:{2,4,6}:{(207,1),(208,1),(209,1),(235,1),(236,1)}
       226:{1,3,5}:{(209,1),(210,1),(234,1),(236,1)}
       227:{1,2,6}:{(212,1),(214,1),(237,1)}
       228:{1,3,5,7}:{(212,1),(213,1),(215,1),(219,1),(237,1),(238,1),(244,1)}
       229:{2,3,6}:{(214,1),(215,1),(216,1),(237,1),(239,1)}
       230:{2,4,7}:{(215,1),(217,1),(220,1),(238,1),(239,1)}
       231:{1,3,4,6}:{(216,1),(217,1),(218,1),(221,1),(239,1),(240,1)}
       232:{1,4,5}:{(218,1),(222,1),(240,1),(241,1)}
       233:{1,4}:{(219,1),(220,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(225,1),(241,1)}
       236:{2,5}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(229,1),(242,1)}
       238:{1,4,7}:{(228,1),(230,1),(233,1),(242,1)}
       239:{2,4,6}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       240:{1,3,5}:{(231,1),(232,1),(234,1),(243,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2218 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2219 :   0:{1,2,3,6,7}:{(3,1),(4,1),(68,1),(75,1),(103,1),(211,1),(213,1),(306,1)}
         1:{1,4,5,6,7}:{(2,1),(5,1),(74,1),(84,1),(216,1)}
         2:{2,4,5,6,7}:{(1,1),(7,1),(8,1),(15,1),(40,1),(46,1),(135,1),(255,1)}
         3:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(14,1),(59,1),(264,1),(266,1),(348,1),(361,1)}
         4:{1,2,4,6,7}:{(0,1),(11,1),(13,1),(14,1),(60,1),(114,1),(123,1),(231,1),(272,1)}
         5:{1,3,5,6,7}:{(1,1),(8,1),(12,1),(15,1),(273,1)}
         6:{1,2,3,6,7}:{(16,1),(17,1),(27,1),(75,1),(175,1),(289,1),(291,1),(306,1)}
         7:{1,4,5,6,7}:{(2,1),(18,1),(33,1),(84,1),(294,1)}
         8:{3,5,6,7}:{(2,1),(21,1),(194,1),(309,1)}
         9:{1,2,3,5,6}:{(3,1),(24,1),(32,1),(75,1),(88,1),(95,1),(103,1),(180,1),(203,1),(205,1),(297,1),(313,1)}
        10:{1,3,4,5,6}:{(19,1),(25,1),(26,1),(77,1),(93,1),(185,1),(207,1),(214,1)}
        11:{1,2,4,7}:{(3,1),(24,1),(28,1),(320,1),(389,1)}
        12:{1,3,4,6,7}:{(5,1),(21,1),(26,1),(30,1),(84,1),(101,1),(194,1)}
        13:{1,3,4,6,7}:{(4,1),(22,1),(28,1),(31,1),(103,1),(105,1),(170,1),(179,1),(288,1),(306,1),(382,1),(389,1)}
        14:{1,2,5,7}:{(4,1),(31,1),(32,1),(180,1),(324,1)}
        15:{2,5,6,7}:{(5,1),(30,1),(33,1),(324,1)}
        16:{1,2,3,5,7}:{(6,1),(34,1),(36,1),(39,1),(117,1),(334,1),(336,1),(348,1),(407,1)}
        17:{1,2,4,6,7}:{(6,1),(36,1),(38,1),(39,1),(56,1),(118,1),(123,1),(152,1),(342,1)}
        18:{1,3,5,6,7}:{(7,1),(8,1),(37,1),(40,1),(343,1)}
        19:{3,4,5,6}:{(41,1),(42,1),(253,1),(416,1)}
        20:{2,3,4,5,7}:{(44,1),(45,1),(49,1),(107,1),(126,1),(134,1),(142,1),(153,1),(221,1),(232,1),(247,1),(345,1),(418,1)}
        21:{3,4,6,7}:{(8,1),(42,1),(46,1)}
        22:{2,3,4,6,7}:{(13,1),(38,1),(47,1),(57,1),(115,1),(124,1),(136,1),(154,1),(233,1),(239,1),(252,1),(254,1),(272,1),(342,1),(350,1),(353,1),(418,1)}
        23:{2,3,5,6,7}:{(8,1),(15,1),(40,1),(46,1),(48,1),(58,1),(116,1),(126,1)}
        24:{1,2,4,6}:{(9,1),(11,1),(52,1),(53,1),(138,1),(265,1),(347,1)}
        25:{2,4,5,6}:{(10,1),(51,1),(54,1),(55,1),(146,1),(265,1),(271,1)}
        26:{1,3,4,5,7}:{(10,1),(12,1),(42,1),(55,1),(128,1),(147,1),(246,1),(268,1),(273,1)}
        27:{1,2,3,7}:{(50,1),(56,1),(361,1)}
        28:{1,3,4,7}:{(11,1),(52,1),(57,1),(59,1),(361,1)}
        29:{1,2,4,5,7}:{(11,1),(14,1),(53,1),(59,1),(60,1),(62,1),(153,1)}
        30:{2,4,6,7}:{(12,1),(15,1),(55,1),(58,1),(61,1),(155,1)}
        31:{1,3,5,7}:{(13,1),(14,1),(47,1),(62,1),(63,1),(240,1),(414,1)}
        32:{1,2,5,6}:{(14,1),(60,1),(63,1),(231,1),(271,1)}
        33:{1,5,6,7}:{(15,1),(61,1),(368,1)}
        34:{1,2,3,5,6}:{(16,1),(65,1),(73,1),(75,1),(160,1),(167,1),(175,1),(180,1),(281,1),(283,1),(297,1),(372,1)}
        35:{1,3,4,5,6}:{(19,1),(66,1),(67,1),(77,1),(165,1),(185,1),(285,1),(292,1)}
        36:{1,2,4,7}:{(16,1),(65,1),(69,1),(379,1),(389,1)}
        37:{1,3,4,6,7}:{(18,1),(21,1),(67,1),(71,1),(84,1),(173,1),(194,1)}
        38:{1,3,4,6,7}:{(17,1),(22,1),(69,1),(72,1),(98,1),(175,1),(177,1),(179,1),(210,1),(306,1),(323,1),(389,1)}
        39:{1,2,5,7}:{(17,1),(72,1),(73,1),(180,1),(383,1)}
        40:{2,5,6,7}:{(18,1),(71,1),(74,1),(383,1)}
        41:{2,4,5,6}:{(19,1),(76,1),(77,1),(78,1),(386,1)}
        42:{3,4,5,7}:{(19,1),(21,1),(78,1),(309,1),(437,1)}
        43:{1,2,3,5,7}:{(27,1),(68,1),(75,1),(79,1),(88,1),(99,1),(160,1),(171,1),(180,1),(188,1)}
        44:{1,3,4,5,7}:{(20,1),(81,1),(82,1),(89,1),(161,1),(183,1),(184,1),(188,1),(201,1),(209,1),(279,1),(287,1),(296,1),(302,1),(389,1)}
        45:{2,3,4,6}:{(20,1),(76,1),(82,1),(193,1),(212,1),(290,1),(304,1),(386,1)}
        46:{2,4,6,7}:{(21,1),(23,1),(78,1),(84,1)}
        47:{2,3,5,7}:{(22,1),(31,1),(72,1),(85,1),(86,1),(181,1),(295,1),(309,1),(324,1),(383,1)}
        48:{1,3,5,6,7}:{(23,1),(33,1),(74,1),(84,1),(87,1),(101,1),(173,1),(183,1),(194,1)}
        49:{2,3,4,5}:{(89,1),(90,1),(184,1),(204,1),(311,1)}
        50:{1,2,3,6}:{(27,1),(88,1),(91,1),(313,1)}
        51:{2,3,5,6}:{(25,1),(90,1),(93,1),(94,1),(185,1)}
        52:{1,3,4,6}:{(24,1),(28,1),(92,1),(95,1),(103,1),(197,1),(313,1)}
        53:{1,2,4,5}:{(24,1),(95,1),(180,1),(204,1),(296,1)}
        54:{1,4,5,6}:{(25,1),(93,1),(97,1),(317,1),(322,1)}
        55:{2,4,5,7}:{(25,1),(26,1),(30,1),(94,1),(97,1),(206,1),(320,1),(324,1)}
        56:{1,2,4,7}:{(27,1),(91,1),(98,1),(99,1)}
        57:{2,3,4,7}:{(28,1),(92,1),(98,1),(100,1),(316,1),(320,1),(397,1)}
        58:{2,3,6,7}:{(30,1),(94,1),(101,1),(194,1)}
        59:{1,3,5,7}:{(28,1),(29,1),(95,1),(100,1),(103,1)}
        60:{1,2,4,6}:{(29,1),(32,1),(103,1),(105,1),(212,1)}
        61:{1,4,6,7}:{(30,1),(33,1),(97,1),(101,1)}
        62:{1,4,5,7}:{(31,1),(85,1),(105,1),(296,1),(389,1)}
        63:{1,3,5,6}:{(31,1),(32,1),(86,1),(103,1),(105,1),(288,1),(381,1)}
        64:{1,2,5,6,7}:{(32,1),(33,1),(87,1),(104,1),(106,1),(289,1),(298,1),(324,1),(403,1),(440,1)}
        65:{1,2,4,6}:{(34,1),(36,1),(110,1),(111,1),(217,1),(335,1),(347,1)}
        66:{2,4,5,6}:{(35,1),(109,1),(112,1),(113,1),(225,1),(335,1),(341,1)}
        67:{1,3,4,5,7}:{(35,1),(37,1),(42,1),(113,1),(128,1),(226,1),(246,1),(338,1),(343,1)}
        68:{1,2,3,7}:{(108,1),(114,1),(407,1)}
        69:{1,3,4,7}:{(36,1),(110,1),(115,1),(117,1),(407,1)}
        70:{1,2,4,5,7}:{(36,1),(39,1),(111,1),(117,1),(118,1),(120,1),(232,1)}
        71:{2,4,6,7}:{(37,1),(40,1),(113,1),(116,1),(119,1),(234,1)}
        72:{1,3,5,7}:{(38,1),(39,1),(47,1),(120,1),(121,1),(240,1),(368,1)}
        73:{1,2,5,6}:{(39,1),(118,1),(121,1),(152,1),(341,1)}
        74:{1,5,6,7}:{(40,1),(119,1),(414,1)}
        75:{1,2,3,6}:{(43,1),(123,1),(152,1),(231,1),(249,1)}
        76:{2,3,5,6}:{(41,1),(45,1),(125,1),(126,1),(253,1),(271,1),(341,1)}
        77:{1,4,5,6}:{(41,1),(125,1),(127,1),(128,1),(347,1)}
        78:{2,4,5,7}:{(41,1),(42,1),(46,1),(126,1),(128,1),(418,1)}
        79:{1,2,4,7}:{(43,1),(123,1),(129,1),(138,1),(217,1)}
        80:{2,3,4,7}:{(124,1),(129,1),(131,1),(139,1),(218,1),(350,1)}
        81:{2,4,5,7}:{(44,1),(131,1),(132,1),(140,1),(219,1),(242,1),(244,1),(261,1),(331,1),(350,1)}
        82:{1,3,4,6}:{(44,1),(45,1),(125,1),(132,1),(245,1),(249,1),(269,1),(339,1),(347,1)}
        83:{2,3,4,6,7}:{(45,1),(46,1),(58,1),(116,1),(126,1),(133,1),(142,1),(221,1),(254,1),(272,1),(342,1),(353,1),(418,1)}
        84:{1,4,6,7}:{(46,1),(48,1),(128,1),(135,1)}
        85:{2,4,5,7}:{(47,1),(62,1),(120,1),(134,1),(136,1),(242,1),(345,1),(350,1),(418,1)}
        86:{2,3,5,6}:{(47,1),(63,1),(121,1),(136,1),(154,1),(233,1),(253,1),(271,1),(341,1)}
        87:{2,5,6,7}:{(48,1),(135,1),(155,1),(234,1),(244,1)}
        88:{1,2,3,5}:{(50,1),(138,1),(144,1),(257,1)}
        89:{1,3,4,5}:{(49,1),(140,1),(141,1),(257,1),(262,1)}
        90:{2,3,4,6}:{(49,1),(51,1),(141,1),(142,1),(245,1),(265,1),(359,1)}
        91:{1,2,4,6}:{(50,1),(56,1),(138,1),(143,1),(144,1),(152,1)}
        92:{2,3,4,6}:{(52,1),(57,1),(139,1),(143,1),(145,1),(154,1),(256,1),(260,1),(265,1),(359,1)}
        93:{1,3,5,6}:{(51,1),(54,1),(141,1),(146,1),(147,1)}
        94:{2,3,5,7}:{(51,1),(55,1),(58,1),(142,1),(147,1),(246,1)}
        95:{1,3,5}:{(52,1),(53,1),(145,1)}
        96:{1,2,4,5,6}:{(53,1),(54,1),(60,1),(127,1),(146,1),(149,1),(150,1),(158,1),(241,1),(258,1),(265,1),(271,1),(347,1),(364,1),(417,1),(423,1)}
        97:{1,4,5,7}:{(54,1),(55,1),(61,1),(147,1),(365,1),(368,1)}
        98:{1,3,4,7}:{(56,1),(57,1),(143,1),(151,1),(361,1),(365,1)}
        99:{1,2,5,7}:{(56,1),(144,1),(151,1),(152,1)}
       100:{2,3,5,7}:{(57,1),(59,1),(145,1),(151,1),(153,1),(154,1)}
       101:{1,3,6,7}:{(58,1),(61,1),(147,1),(155,1)}
       102:{1,3,4,5,7}:{(59,1),(62,1),(134,1),(148,1),(153,1),(156,1),(268,1),(273,1)}
       103:{1,3,6}:{(59,1),(60,1),(154,1)}
       104:{1,2,4,6,7}:{(60,1),(61,1),(64,1),(135,1),(150,1),(155,1),(157,1),(159,1),(272,1),(427,1),(449,1),(450,1)}
       105:{1,4,6}:{(62,1),(63,1),(136,1)}
       106:{1,3,5,6,7}:{(63,1),(64,1),(137,1),(157,1),(159,1),(273,1),(340,1),(348,1),(414,1)}
       107:{2,3,4,5}:{(161,1),(162,1),(184,1),(282,1),(370,1)}
       108:{1,2,3,6}:{(68,1),(160,1),(163,1),(372,1)}
       109:{2,3,5,6}:{(66,1),(162,1),(165,1),(166,1),(185,1)}
       110:{1,3,4,6}:{(65,1),(69,1),(164,1),(167,1),(175,1),(275,1),(372,1)}
       111:{1,2,4,5}:{(65,1),(167,1),(180,1),(282,1),(296,1)}
       112:{1,4,5,6}:{(66,1),(165,1),(169,1),(376,1),(381,1)}
       113:{2,4,5,7}:{(66,1),(67,1),(71,1),(166,1),(169,1),(284,1),(379,1),(383,1)}
       114:{1,2,4,7}:{(68,1),(163,1),(170,1),(171,1)}
       115:{2,3,4,7}:{(69,1),(164,1),(170,1),(172,1),(375,1),(379,1),(429,1)}
       116:{2,3,6,7}:{(71,1),(166,1),(173,1),(194,1)}
       117:{1,3,5,7}:{(69,1),(70,1),(167,1),(172,1),(175,1)}
       118:{1,2,4,6}:{(70,1),(73,1),(175,1),(177,1),(290,1)}
       119:{1,4,6,7}:{(71,1),(74,1),(169,1),(173,1)}
       120:{1,4,5,7}:{(72,1),(85,1),(177,1),(296,1),(389,1)}
       121:{1,3,5,6}:{(72,1),(73,1),(86,1),(175,1),(177,1),(210,1),(322,1)}
       122:{1,2,5,6,7}:{(73,1),(74,1),(87,1),(176,1),(178,1),(211,1),(298,1),(383,1),(435,1),(440,1)}
       123:{1,2,4,6}:{(75,1),(79,1),(179,1),(180,1)}
       124:{2,3,4,6}:{(80,1),(179,1),(181,1),(191,1),(299,1)}
       125:{1,3,5,6}:{(76,1),(77,1),(82,1),(182,1),(183,1),(185,1),(322,1),(381,1)}
       126:{2,3,5,7}:{(76,1),(78,1),(83,1),(183,1),(309,1),(324,1),(383,1)}
       127:{2,4,5,6}:{(77,1),(182,1),(185,1),(186,1),(299,1)}
       128:{1,4,5,7}:{(77,1),(78,1),(84,1),(183,1),(186,1),(389,1)}
       129:{1,3,4,7}:{(79,1),(80,1),(179,1),(187,1),(188,1),(197,1),(275,1),(389,1)}
       130:{1,2,4,5,7}:{(79,1),(81,1),(99,1),(171,1),(180,1),(188,1),(189,1),(198,1),(209,1),(276,1),(287,1),(296,1),(298,1),(303,1),(314,1),(373,1),(389,1)}
       131:{2,3,5,7}:{(80,1),(81,1),(181,1),(188,1),(191,1),(199,1),(277,1),(316,1),(375,1)}
       132:{2,4,6}:{(81,1),(82,1),(182,1),(191,1)}
       133:{1,3,4,6,7}:{(82,1),(83,1),(84,1),(101,1),(173,1),(183,1),(192,1),(194,1),(201,1),(279,1),(302,1),(306,1),(323,1),(382,1),(389,1)}
       134:{3,4,5,7}:{(85,1),(184,1),(193,1),(302,1),(309,1),(385,1),(437,1)}
       135:{2,4,6,7}:{(84,1),(87,1),(186,1),(194,1)}
       136:{2,4,6}:{(85,1),(86,1),(105,1),(177,1),(193,1)}
       137:{2,3,5,6,7}:{(86,1),(87,1),(106,1),(178,1),(194,1),(196,1),(213,1),(291,1),(300,1),(309,1),(324,1),(383,1),(387,1),(440,1),(453,1)}
       138:{1,2,4}:{(88,1),(197,1)}
       139:{2,3,4}:{(197,1),(199,1)}
       140:{2,4,5}:{(89,1),(199,1),(200,1)}
       141:{1,3,4,6}:{(89,1),(90,1),(93,1),(200,1),(201,1),(313,1),(317,1)}
       142:{2,3,4,7}:{(90,1),(94,1),(201,1),(302,1),(320,1),(397,1)}
       143:{1,3,4,6}:{(91,1),(92,1),(98,1),(197,1),(202,1),(210,1),(313,1),(317,1)}
       144:{1,2,5}:{(91,1),(202,1)}
       145:{2,3,5}:{(92,1),(95,1),(202,1),(204,1)}
       146:{2,5,6}:{(93,1),(200,1),(206,1)}
       147:{1,3,5,7}:{(93,1),(94,1),(97,1),(101,1),(201,1),(206,1)}
       148:{1,3,4,5}:{(95,1),(184,1),(204,1),(207,1),(296,1),(385,1)}
       149:{1,3,5,6}:{(95,1),(96,1),(103,1),(185,1),(205,1),(207,1),(208,1),(313,1),(436,1)}
       150:{1,2,4,5,7}:{(96,1),(97,1),(104,1),(186,1),(206,1),(208,1),(216,1),(298,1),(314,1),(320,1),(324,1),(389,1),(401,1),(438,1),(441,1)}
       151:{1,3,5,7}:{(98,1),(99,1),(100,1),(202,1),(209,1),(210,1)}
       152:{1,2,6}:{(99,1),(210,1)}
       153:{2,4,5,7}:{(100,1),(102,1),(204,1),(209,1),(212,1),(320,1),(324,1)}
       154:{2,3,6}:{(100,1),(103,1),(210,1),(212,1)}
       155:{2,6,7}:{(101,1),(206,1)}
       156:{1,3,4,6}:{(102,1),(103,1),(105,1),(193,1),(212,1),(214,1)}
       157:{1,3,6,7}:{(103,1),(104,1),(194,1),(208,1),(213,1),(453,1)}
       158:{1,4,5,6}:{(105,1),(195,1),(214,1),(216,1),(381,1)}
       159:{1,4,6,7}:{(105,1),(106,1),(196,1),(216,1),(389,1)}
       160:{1,2,3,5}:{(108,1),(217,1),(223,1),(327,1)}
       161:{1,3,4,5}:{(107,1),(219,1),(220,1),(327,1),(332,1)}
       162:{2,3,4,6}:{(107,1),(109,1),(220,1),(221,1),(245,1),(335,1),(405,1)}
       163:{1,2,4,6}:{(108,1),(114,1),(217,1),(222,1),(223,1),(231,1)}
       164:{2,3,4,6}:{(110,1),(115,1),(218,1),(222,1),(224,1),(233,1),(326,1),(330,1),(335,1),(405,1)}
       165:{1,3,5,6}:{(109,1),(112,1),(220,1),(225,1),(226,1)}
       166:{2,3,5,7}:{(109,1),(113,1),(116,1),(221,1),(226,1),(246,1)}
       167:{1,3,5}:{(110,1),(111,1),(224,1)}
       168:{1,2,4,5,6}:{(111,1),(112,1),(118,1),(127,1),(225,1),(228,1),(229,1),(237,1),(241,1),(328,1),(335,1),(341,1),(347,1),(410,1),(417,1),(443,1)}
       169:{1,4,5,7}:{(112,1),(113,1),(119,1),(226,1),(411,1),(414,1)}
       170:{1,3,4,7}:{(114,1),(115,1),(222,1),(230,1),(407,1),(411,1)}
       171:{1,2,5,7}:{(114,1),(223,1),(230,1),(231,1)}
       172:{2,3,5,7}:{(115,1),(117,1),(224,1),(230,1),(232,1),(233,1)}
       173:{1,3,6,7}:{(116,1),(119,1),(226,1),(234,1)}
       174:{1,3,4,5,7}:{(117,1),(120,1),(134,1),(227,1),(232,1),(235,1),(338,1),(343,1)}
       175:{1,3,6}:{(117,1),(118,1),(233,1)}
       176:{1,2,4,6,7}:{(118,1),(119,1),(122,1),(135,1),(229,1),(234,1),(236,1),(238,1),(342,1),(447,1),(449,1),(454,1)}
       177:{1,4,6}:{(120,1),(121,1),(136,1)}
       178:{1,3,5,6,7}:{(121,1),(122,1),(137,1),(236,1),(238,1),(270,1),(343,1),(348,1),(368,1)}
       179:{1,3,4,6}:{(123,1),(124,1),(129,1),(239,1),(240,1),(249,1),(347,1)}
       180:{1,2,5}:{(123,1),(240,1)}
       181:{2,3,5}:{(124,1),(240,1),(242,1)}
       182:{2,5,6}:{(125,1),(132,1),(244,1)}
       183:{1,3,5,7}:{(125,1),(126,1),(128,1),(133,1),(244,1),(246,1),(368,1),(414,1)}
       184:{3,4,5}:{(242,1),(245,1)}
       185:{3,5,6}:{(127,1),(245,1),(246,1)}
       186:{2,4,5,7}:{(127,1),(128,1),(135,1),(244,1),(246,1),(350,1)}
       187:{2,3,4,7}:{(129,1),(239,1),(247,1),(256,1),(326,1),(418,1)}
       188:{1,3,5,7}:{(129,1),(130,1),(131,1),(240,1),(247,1),(249,1),(257,1),(327,1),(361,1),(407,1)}
       189:{1,2,4,6}:{(130,1),(132,1),(152,1),(231,1),(241,1),(249,1),(269,1),(339,1),(347,1),(352,1)}
       190:{2,3,4,5,7}:{(131,1),(134,1),(153,1),(232,1),(242,1),(248,1),(251,1),(259,1),(329,1),(350,1),(356,1),(363,1),(409,1)}
       191:{2,3,6}:{(131,1),(132,1),(249,1)}
       192:{2,4,6,7}:{(132,1),(133,1),(155,1),(234,1),(244,1),(252,1),(261,1),(331,1),(350,1)}
       193:{3,4,6}:{(134,1),(136,1),(253,1)}
       194:{3,6,7}:{(135,1),(246,1)}
       195:{2,4,5,6}:{(136,1),(158,1),(237,1),(253,1),(255,1),(271,1),(341,1)}
       196:{2,4,6,7}:{(136,1),(137,1),(159,1),(238,1),(254,1),(255,1),(350,1),(418,1)}
       197:{1,3,4}:{(138,1),(139,1),(256,1),(257,1)}
       198:{1,2,4,5}:{(138,1),(140,1),(144,1),(257,1),(258,1),(262,1),(358,1)}
       199:{2,3,5}:{(139,1),(140,1),(257,1),(260,1)}
       200:{2,4,6}:{(140,1),(141,1),(146,1),(260,1),(261,1)}
       201:{1,3,4,7}:{(141,1),(142,1),(147,1),(261,1),(361,1),(365,1)}
       202:{1,3,5}:{(143,1),(144,1),(145,1),(262,1)}
       203:{1,2,5,6}:{(144,1),(146,1),(152,1),(258,1),(263,1),(264,1),(423,1)}
       204:{2,4,5}:{(145,1),(148,1),(262,1),(265,1)}
       205:{2,3,5,6}:{(145,1),(146,1),(149,1),(154,1),(260,1),(263,1),(265,1),(266,1),(271,1),(359,1),(423,1)}
       206:{2,5,7}:{(146,1),(147,1),(155,1),(261,1)}
       207:{1,3,4,6}:{(148,1),(149,1),(245,1),(265,1),(268,1),(347,1),(416,1)}
       208:{1,3,5,7}:{(149,1),(150,1),(157,1),(246,1),(266,1),(268,1),(361,1),(448,1)}
       209:{1,4,5,7}:{(151,1),(153,1),(262,1),(269,1),(365,1),(368,1)}
       210:{1,3,6}:{(151,1),(152,1),(154,1),(269,1)}
       211:{1,2,6,7}:{(152,1),(155,1),(264,1),(270,1),(450,1)}
       212:{2,4,6}:{(153,1),(154,1),(156,1),(269,1),(271,1)}
       213:{2,3,6,7}:{(154,1),(155,1),(157,1),(266,1),(270,1),(272,1),(450,1)}
       214:{1,3,5,6}:{(156,1),(158,1),(253,1),(271,1),(273,1)}
       215:{1,3,4,6,7}:{(156,1),(157,1),(159,1),(254,1),(268,1),(272,1),(273,1)}
       216:{1,4,5,7}:{(158,1),(159,1),(255,1),(273,1),(414,1)}
       217:{1,2,4}:{(160,1),(275,1)}
       218:{2,3,4}:{(275,1),(277,1)}
       219:{2,4,5}:{(161,1),(277,1),(278,1)}
       220:{1,3,4,6}:{(161,1),(162,1),(165,1),(278,1),(279,1),(372,1),(376,1)}
       221:{2,3,4,7}:{(162,1),(166,1),(279,1),(302,1),(379,1),(429,1)}
       222:{1,3,4,6}:{(163,1),(164,1),(170,1),(275,1),(280,1),(288,1),(372,1),(376,1)}
       223:{1,2,5}:{(163,1),(280,1)}
       224:{2,3,5}:{(164,1),(167,1),(280,1),(282,1)}
       225:{2,5,6}:{(165,1),(278,1),(284,1)}
       226:{1,3,5,7}:{(165,1),(166,1),(169,1),(173,1),(279,1),(284,1)}
       227:{1,3,4,5}:{(167,1),(184,1),(282,1),(285,1),(296,1),(385,1)}
       228:{1,3,5,6}:{(167,1),(168,1),(175,1),(185,1),(283,1),(285,1),(286,1),(372,1),(436,1)}
       229:{1,2,4,5,7}:{(168,1),(169,1),(176,1),(186,1),(284,1),(286,1),(294,1),(298,1),(373,1),(379,1),(383,1),(389,1),(433,1),(438,1),(451,1)}
       230:{1,3,5,7}:{(170,1),(171,1),(172,1),(280,1),(287,1),(288,1)}
       231:{1,2,6}:{(171,1),(288,1)}
       232:{2,4,5,7}:{(172,1),(174,1),(282,1),(287,1),(290,1),(379,1),(383,1)}
       233:{2,3,6}:{(172,1),(175,1),(288,1),(290,1)}
       234:{2,6,7}:{(173,1),(284,1)}
       235:{1,3,4,6}:{(174,1),(175,1),(177,1),(193,1),(290,1),(292,1)}
       236:{1,3,6,7}:{(175,1),(176,1),(194,1),(286,1),(291,1),(453,1)}
       237:{1,4,5,6}:{(177,1),(195,1),(292,1),(294,1),(322,1)}
       238:{1,4,6,7}:{(177,1),(178,1),(196,1),(294,1),(389,1)}
       239:{2,3,4,6}:{(179,1),(187,1),(295,1),(304,1),(386,1)}
       240:{1,3,5}:{(179,1),(180,1),(181,1),(295,1),(296,1)}
       241:{1,2,5,6}:{(180,1),(182,1),(189,1),(297,1),(298,1),(322,1),(381,1),(392,1)}
       242:{2,4,5}:{(181,1),(184,1),(296,1),(299,1)}
       243:{2,3,5,6}:{(181,1),(182,1),(185,1),(191,1),(297,1),(299,1),(300,1)}
       244:{2,5,7}:{(182,1),(183,1),(192,1)}
       245:{3,4,6}:{(184,1),(185,1),(299,1),(302,1)}
       246:{3,5,7}:{(185,1),(186,1),(194,1),(302,1)}
       247:{2,3,5,7}:{(187,1),(188,1),(295,1),(303,1),(304,1),(311,1),(370,1),(397,1),(429,1)}
       248:{1,3,4,5,7}:{(188,1),(190,1),(209,1),(287,1),(296,1),(303,1),(305,1),(312,1),(371,1),(385,1),(389,1),(394,1),(399,1),(431,1),(437,1)}
       249:{1,3,6}:{(188,1),(189,1),(191,1),(304,1)}
       250:{1,2,4,6,7}:{(189,1),(192,1),(211,1),(289,1),(298,1),(306,1),(314,1),(323,1),(373,1),(382,1),(389,1),(393,1)}
       251:{2,3,4,6}:{(190,1),(191,1),(193,1),(212,1),(290,1),(299,1),(305,1),(307,1)}
       252:{2,3,6,7}:{(191,1),(192,1),(194,1),(300,1),(306,1),(316,1),(375,1)}
       253:{3,5,6}:{(193,1),(195,1),(309,1)}
       254:{3,4,6,7}:{(193,1),(194,1),(196,1),(302,1),(309,1),(437,1),(453,1)}
       255:{2,4,5,7}:{(195,1),(196,1),(216,1),(294,1),(309,1),(324,1),(383,1)}
       256:{2,3,4}:{(197,1),(311,1)}
       257:{1,3,5}:{(197,1),(198,1),(199,1),(311,1),(313,1)}
       258:{1,2,4,6}:{(198,1),(200,1),(203,1),(313,1),(314,1),(317,1),(396,1)}
       259:{2,3,4,5}:{(199,1),(204,1),(312,1),(315,1),(385,1)}
       260:{2,3,6}:{(199,1),(200,1),(313,1),(316,1)}
       261:{2,4,7}:{(200,1),(201,1),(206,1),(316,1)}
       262:{1,4,5}:{(202,1),(204,1),(317,1)}
       263:{1,3,5,6}:{(202,1),(203,1),(205,1),(210,1),(313,1),(317,1),(318,1),(322,1)}
       264:{1,2,5,7}:{(203,1),(206,1),(211,1),(314,1),(318,1),(441,1)}
       265:{2,4,6}:{(204,1),(205,1),(207,1),(317,1),(320,1)}
       266:{2,3,5,7}:{(205,1),(206,1),(208,1),(213,1),(316,1),(318,1),(320,1),(324,1),(397,1),(441,1)}
       267:{1,3,4,5,6}:{(207,1),(214,1),(301,1),(319,1),(321,1),(388,1),(398,1),(436,1)}
       268:{1,3,4,7}:{(207,1),(208,1),(302,1),(320,1),(389,1),(437,1)}
       269:{1,4,6}:{(209,1),(210,1),(212,1),(322,1)}
       270:{1,3,6,7}:{(210,1),(211,1),(213,1),(318,1),(323,1)}
       271:{2,5,6}:{(212,1),(214,1),(322,1),(324,1)}
       272:{2,4,6,7}:{(212,1),(213,1),(215,1),(320,1),(323,1),(324,1)}
       273:{1,3,5,7}:{(214,1),(215,1),(216,1),(309,1),(324,1)}
       274:{1,4,5,6,7}:{(216,1),(310,1),(325,1),(435,1),(439,1)}
       275:{1,3,4}:{(217,1),(218,1),(326,1),(327,1)}
       276:{1,2,4,5}:{(217,1),(219,1),(223,1),(327,1),(328,1),(332,1),(404,1)}
       277:{2,3,5}:{(218,1),(219,1),(327,1),(330,1)}
       278:{2,4,6}:{(219,1),(220,1),(225,1),(330,1),(331,1)}
       279:{1,3,4,7}:{(220,1),(221,1),(226,1),(331,1),(407,1),(411,1)}
       280:{1,3,5}:{(222,1),(223,1),(224,1),(332,1)}
       281:{1,2,5,6}:{(223,1),(225,1),(231,1),(328,1),(333,1),(334,1),(443,1)}
       282:{2,4,5}:{(224,1),(227,1),(332,1),(335,1)}
       283:{2,3,5,6}:{(224,1),(225,1),(228,1),(233,1),(330,1),(333,1),(335,1),(336,1),(341,1),(405,1),(443,1)}
       284:{2,5,7}:{(225,1),(226,1),(234,1),(331,1)}
       285:{1,3,4,6}:{(227,1),(228,1),(245,1),(335,1),(338,1),(347,1),(416,1)}
       286:{1,3,5,7}:{(228,1),(229,1),(236,1),(246,1),(336,1),(338,1),(407,1),(448,1)}
       287:{1,4,5,7}:{(230,1),(232,1),(332,1),(339,1),(411,1),(414,1)}
       288:{1,3,6}:{(230,1),(231,1),(233,1),(339,1)}
       289:{1,2,6,7}:{(231,1),(234,1),(334,1),(340,1),(454,1)}
       290:{2,4,6}:{(232,1),(233,1),(235,1),(339,1),(341,1)}
       291:{2,3,6,7}:{(233,1),(234,1),(236,1),(336,1),(340,1),(342,1),(454,1)}
       292:{1,3,5,6}:{(235,1),(237,1),(253,1),(341,1),(343,1)}
       293:{1,3,4,6,7}:{(235,1),(236,1),(238,1),(254,1),(338,1),(342,1),(343,1)}
       294:{1,4,5,7}:{(237,1),(238,1),(255,1),(343,1),(368,1)}
       295:{2,3,5}:{(239,1),(240,1),(345,1)}
       296:{1,4,5}:{(240,1),(242,1),(345,1),(347,1)}
       297:{1,3,5,6}:{(240,1),(241,1),(243,1),(249,1),(346,1),(347,1),(348,1)}
       298:{1,2,5,7}:{(241,1),(244,1),(250,1),(348,1),(368,1),(414,1),(421,1)}
       299:{2,4,6}:{(242,1),(243,1),(245,1),(347,1),(350,1)}
       300:{2,3,5,7}:{(243,1),(244,1),(246,1),(252,1),(348,1),(350,1)}
       301:{3,4,5,6}:{(245,1),(253,1),(349,1),(351,1)}
       302:{3,4,7}:{(245,1),(246,1),(350,1)}
       303:{2,4,5,7}:{(247,1),(248,1),(345,1),(352,1),(358,1),(404,1),(418,1),(421,1),(424,1),(444,1)}
       304:{2,3,6}:{(247,1),(249,1),(352,1)}
       305:{1,3,4,6}:{(248,1),(249,1),(251,1),(269,1),(339,1),(347,1),(352,1),(354,1),(416,1)}
       306:{1,3,6,7}:{(249,1),(250,1),(252,1),(348,1),(353,1),(361,1),(407,1)}
       307:{2,3,5,6}:{(251,1),(253,1),(271,1),(341,1),(349,1),(354,1),(356,1)}
       308:{2,3,4,6,7}:{(251,1),(252,1),(254,1),(272,1),(342,1),(350,1),(355,1),(356,1),(363,1),(409,1),(420,1),(426,1),(446,1)}
       309:{3,5,7}:{(253,1),(254,1),(255,1)}
       310:{2,4,5,6,7}:{(255,1),(274,1),(344,1),(357,1),(369,1),(415,1),(420,1),(449,1)}
       311:{2,3,5}:{(256,1),(257,1),(358,1),(359,1)}
       312:{1,3,4,5}:{(257,1),(259,1),(262,1),(358,1),(360,1)}
       313:{1,3,6}:{(257,1),(258,1),(260,1),(359,1),(361,1)}
       314:{1,2,4,7}:{(258,1),(261,1),(264,1),(361,1),(365,1),(424,1)}
       315:{2,3,4,6}:{(259,1),(260,1),(265,1),(360,1),(362,1),(363,1),(416,1)}
       316:{2,3,7}:{(260,1),(261,1),(361,1)}
       317:{1,4,6}:{(262,1),(263,1),(265,1),(365,1)}
       318:{1,3,5,7}:{(263,1),(264,1),(266,1),(270,1),(361,1),(365,1),(368,1)}
       319:{2,4,5,6}:{(265,1),(267,1),(271,1),(362,1),(364,1),(366,1),(423,1)}
       320:{2,4,7}:{(265,1),(266,1),(268,1),(365,1)}
       321:{1,3,4,5,7}:{(267,1),(268,1),(273,1),(351,1),(366,1),(367,1),(419,1),(425,1),(448,1)}
       322:{1,5,6}:{(269,1),(271,1),(368,1)}
       323:{1,4,6,7}:{(269,1),(270,1),(272,1),(365,1),(368,1)}
       324:{2,5,7}:{(271,1),(272,1),(273,1),(368,1)}
       325:{1,3,5,6,7}:{(273,1),(274,1),(357,1),(367,1),(369,1)}
       326:{2,3,4}:{(275,1),(370,1)}
       327:{1,3,5}:{(275,1),(276,1),(277,1),(370,1),(372,1)}
       328:{1,2,4,6}:{(276,1),(278,1),(281,1),(372,1),(373,1),(376,1),(428,1)}
       329:{2,3,4,5}:{(277,1),(282,1),(371,1),(374,1),(385,1)}
       330:{2,3,6}:{(277,1),(278,1),(372,1),(375,1)}
       331:{2,4,7}:{(278,1),(279,1),(284,1),(375,1)}
       332:{1,4,5}:{(280,1),(282,1),(376,1)}
       333:{1,3,5,6}:{(280,1),(281,1),(283,1),(288,1),(372,1),(376,1),(377,1),(381,1)}
       334:{1,2,5,7}:{(281,1),(284,1),(289,1),(373,1),(377,1),(451,1)}
       335:{2,4,6}:{(282,1),(283,1),(285,1),(376,1),(379,1)}
       336:{2,3,5,7}:{(283,1),(284,1),(286,1),(291,1),(375,1),(377,1),(379,1),(383,1),(429,1),(451,1)}
       337:{1,3,4,5,6}:{(285,1),(292,1),(301,1),(378,1),(380,1),(388,1),(430,1),(436,1)}
       338:{1,3,4,7}:{(285,1),(286,1),(302,1),(379,1),(389,1),(437,1)}
       339:{1,4,6}:{(287,1),(288,1),(290,1),(381,1)}
       340:{1,3,6,7}:{(288,1),(289,1),(291,1),(377,1),(382,1)}
       341:{2,5,6}:{(290,1),(292,1),(381,1),(383,1)}
       342:{2,4,6,7}:{(290,1),(291,1),(293,1),(379,1),(382,1),(383,1)}
       343:{1,3,5,7}:{(292,1),(293,1),(294,1),(309,1),(383,1)}
       344:{1,4,5,6,7}:{(294,1),(310,1),(384,1),(403,1),(439,1)}
       345:{2,4,5}:{(295,1),(296,1),(385,1),(386,1)}
       346:{2,3,5,6}:{(295,1),(297,1),(304,1),(386,1),(387,1),(392,1),(436,1)}
       347:{1,4,6}:{(296,1),(297,1),(299,1),(386,1),(389,1)}
       348:{1,3,5,7}:{(297,1),(298,1),(300,1),(306,1),(387,1),(389,1)}
       349:{2,4,5,6}:{(299,1),(301,1),(307,1),(388,1),(390,1)}
       350:{2,4,7}:{(299,1),(300,1),(302,1),(389,1)}
       351:{3,4,5,7}:{(301,1),(302,1),(309,1),(390,1),(391,1)}
       352:{2,4,6}:{(303,1),(304,1),(305,1),(392,1)}
       353:{2,3,6,7}:{(304,1),(306,1),(387,1),(393,1),(397,1),(429,1),(453,1)}
       354:{1,3,5,6}:{(305,1),(307,1),(322,1),(381,1),(388,1),(392,1),(394,1),(436,1)}
       355:{1,3,4,6,7}:{(305,1),(306,1),(308,1),(323,1),(382,1),(389,1),(393,1),(394,1),(399,1),(431,1),(437,1),(439,1),(442,1),(452,1),(453,1)}
       356:{2,3,5,7}:{(307,1),(308,1),(309,1),(324,1),(383,1),(390,1),(394,1)}
       357:{3,5,6,7}:{(309,1),(310,1),(391,1),(453,1)}
       358:{2,4,5}:{(311,1),(312,1),(396,1)}
       359:{2,3,6}:{(311,1),(313,1),(396,1),(397,1)}
       360:{1,3,4,6}:{(312,1),(313,1),(315,1),(317,1),(396,1),(398,1),(399,1)}
       361:{1,3,7}:{(313,1),(314,1),(316,1),(397,1)}
       362:{2,3,5,6}:{(315,1),(319,1),(398,1),(400,1),(436,1)}
       363:{2,3,4,7}:{(315,1),(316,1),(320,1),(399,1),(400,1),(437,1)}
       364:{1,4,5,6}:{(317,1),(319,1),(322,1),(398,1),(401,1)}
       365:{1,4,7}:{(317,1),(318,1),(320,1)}
       366:{2,4,5,7}:{(319,1),(320,1),(321,1),(324,1),(400,1),(401,1),(402,1),(441,1)}
       367:{1,3,4,6,7}:{(321,1),(325,1),(391,1),(402,1),(439,1),(442,1),(453,1)}
       368:{1,5,7}:{(322,1),(323,1),(324,1)}
       369:{2,5,6,7}:{(324,1),(325,1),(402,1),(403,1)}
       370:{2,3,5}:{(326,1),(327,1),(404,1),(405,1)}
       371:{1,3,4,5}:{(327,1),(329,1),(332,1),(404,1),(406,1)}
       372:{1,3,6}:{(327,1),(328,1),(330,1),(405,1),(407,1)}
       373:{1,2,4,7}:{(328,1),(331,1),(334,1),(407,1),(411,1),(444,1)}
       374:{2,3,4,6}:{(329,1),(330,1),(335,1),(406,1),(408,1),(409,1),(416,1)}
       375:{2,3,7}:{(330,1),(331,1),(407,1)}
       376:{1,4,6}:{(332,1),(333,1),(335,1),(411,1)}
       377:{1,3,5,7}:{(333,1),(334,1),(336,1),(340,1),(407,1),(411,1),(414,1)}
       378:{2,4,5,6}:{(335,1),(337,1),(341,1),(408,1),(410,1),(412,1),(443,1)}
       379:{2,4,7}:{(335,1),(336,1),(338,1),(411,1)}
       380:{1,3,4,5,7}:{(337,1),(338,1),(343,1),(351,1),(412,1),(413,1),(419,1),(445,1),(448,1)}
       381:{1,5,6}:{(339,1),(341,1),(414,1)}
       382:{1,4,6,7}:{(339,1),(340,1),(342,1),(411,1),(414,1)}
       383:{2,5,7}:{(341,1),(342,1),(343,1),(414,1)}
       384:{1,3,5,6,7}:{(343,1),(344,1),(357,1),(413,1),(415,1)}
       385:{3,4,5}:{(345,1),(416,1)}
       386:{2,4,6}:{(345,1),(346,1),(347,1),(416,1),(418,1)}
       387:{2,3,5,7}:{(346,1),(348,1),(353,1),(418,1),(421,1),(448,1)}
       388:{1,4,5,6}:{(347,1),(349,1),(354,1),(417,1),(419,1)}
       389:{1,4,7}:{(347,1),(348,1),(350,1),(418,1)}
       390:{2,4,5,7}:{(349,1),(350,1),(351,1),(356,1),(419,1),(420,1)}
       391:{3,4,6,7}:{(351,1),(357,1),(420,1)}
       392:{2,5,6}:{(352,1),(354,1),(421,1)}
       393:{2,4,6,7}:{(352,1),(353,1),(355,1),(418,1),(421,1),(424,1),(444,1),(450,1),(454,1)}
       394:{1,3,5,7}:{(354,1),(355,1),(356,1),(368,1),(414,1),(419,1),(421,1),(448,1)}
       395:{2,3,5,6,7}:{(356,1),(357,1),(369,1),(415,1),(420,1),(422,1),(426,1),(446,1)}
       396:{2,4,6}:{(358,1),(359,1),(360,1),(423,1),(424,1)}
       397:{2,3,7}:{(359,1),(361,1),(424,1)}
       398:{1,3,5,6}:{(360,1),(362,1),(364,1),(423,1),(425,1)}
       399:{1,3,4,7}:{(360,1),(361,1),(363,1),(365,1),(424,1),(425,1)}
       400:{2,3,5,7}:{(362,1),(363,1),(366,1),(425,1),(426,1),(448,1)}
       401:{1,4,5,7}:{(364,1),(365,1),(366,1),(368,1),(425,1),(427,1)}
       402:{2,4,6,7}:{(366,1),(367,1),(369,1),(426,1),(427,1),(450,1)}
       403:{1,5,6,7}:{(368,1),(369,1),(427,1)}
       404:{2,4,5}:{(370,1),(371,1),(428,1)}
       405:{2,3,6}:{(370,1),(372,1),(428,1),(429,1)}
       406:{1,3,4,6}:{(371,1),(372,1),(374,1),(376,1),(428,1),(430,1),(431,1)}
       407:{1,3,7}:{(372,1),(373,1),(375,1),(429,1)}
       408:{2,3,5,6}:{(374,1),(378,1),(430,1),(432,1),(436,1)}
       409:{2,3,4,7}:{(374,1),(375,1),(379,1),(431,1),(432,1),(437,1)}
       410:{1,4,5,6}:{(376,1),(378,1),(381,1),(430,1),(433,1)}
       411:{1,4,7}:{(376,1),(377,1),(379,1)}
       412:{2,4,5,7}:{(378,1),(379,1),(380,1),(383,1),(432,1),(433,1),(434,1),(451,1)}
       413:{1,3,4,6,7}:{(380,1),(384,1),(391,1),(434,1),(439,1),(452,1),(453,1)}
       414:{1,5,7}:{(381,1),(382,1),(383,1)}
       415:{2,5,6,7}:{(383,1),(384,1),(434,1),(435,1)}
       416:{3,4,6}:{(385,1),(386,1),(436,1),(437,1)}
       417:{2,4,5,6}:{(386,1),(388,1),(392,1),(436,1),(438,1)}
       418:{2,4,7}:{(386,1),(387,1),(389,1),(437,1)}
       419:{1,4,5,7}:{(388,1),(389,1),(390,1),(394,1),(438,1),(439,1)}
       420:{2,4,6,7}:{(390,1),(391,1),(395,1),(439,1)}
       421:{2,5,7}:{(392,1),(393,1),(394,1)}
       422:{1,3,5,6,7}:{(394,1),(395,1),(403,1),(435,1),(439,1),(440,1),(442,1),(452,1),(453,1)}
       423:{2,5,6}:{(396,1),(398,1),(441,1)}
       424:{2,4,7}:{(396,1),(397,1),(399,1),(441,1)}
       425:{1,3,5,7}:{(398,1),(399,1),(400,1),(401,1),(441,1),(442,1)}
       426:{2,3,6,7}:{(400,1),(402,1),(442,1),(453,1)}
       427:{1,4,6,7}:{(401,1),(402,1),(403,1),(442,1)}
       428:{2,4,6}:{(404,1),(405,1),(406,1),(443,1),(444,1)}
       429:{2,3,7}:{(405,1),(407,1),(444,1)}
       430:{1,3,5,6}:{(406,1),(408,1),(410,1),(443,1),(445,1)}
       431:{1,3,4,7}:{(406,1),(407,1),(409,1),(411,1),(444,1),(445,1)}
       432:{2,3,5,7}:{(408,1),(409,1),(412,1),(445,1),(446,1),(448,1)}
       433:{1,4,5,7}:{(410,1),(411,1),(412,1),(414,1),(445,1),(447,1)}
       434:{2,4,6,7}:{(412,1),(413,1),(415,1),(446,1),(447,1),(454,1)}
       435:{1,5,6,7}:{(414,1),(415,1),(447,1)}
       436:{3,5,6}:{(416,1),(417,1),(448,1)}
       437:{3,4,7}:{(416,1),(418,1),(448,1)}
       438:{2,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(448,1),(449,1)}
       439:{1,4,6,7}:{(419,1),(420,1),(422,1),(449,1)}
       440:{2,5,6,7}:{(421,1),(422,1),(449,1),(450,1),(454,1)}
       441:{2,5,7}:{(423,1),(424,1),(425,1),(450,1)}
       442:{1,3,6,7}:{(425,1),(426,1),(427,1),(450,1)}
       443:{2,5,6}:{(428,1),(430,1),(451,1)}
       444:{2,4,7}:{(428,1),(429,1),(431,1),(451,1)}
       445:{1,3,5,7}:{(430,1),(431,1),(432,1),(433,1),(451,1),(452,1)}
       446:{2,3,6,7}:{(432,1),(434,1),(452,1),(453,1)}
       447:{1,4,6,7}:{(433,1),(434,1),(435,1),(452,1)}
       448:{3,5,7}:{(436,1),(437,1),(438,1),(453,1)}
       449:{2,4,6,7}:{(438,1),(439,1),(440,1),(453,1)}
       450:{2,6,7}:{(441,1),(442,1)}
       451:{2,5,7}:{(443,1),(444,1),(445,1),(454,1)}
       452:{1,3,6,7}:{(445,1),(446,1),(447,1),(454,1)}
       453:{3,6,7}:{(448,1),(449,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2220 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(67,1),(129,1),(155,1),(195,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(48,1),(64,1),(106,1),(122,1),(175,1)}
         2:{2,4,5,6}:{(0,1),(3,1),(6,1),(7,1),(23,1),(61,1),(186,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(195,1)}
         4:{1,4,5,6,7}:{(9,1),(12,1),(81,1),(85,1),(154,1)}
         5:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(35,1),(37,1),(85,1),(150,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(38,1),(88,1),(152,1)}
         7:{1,4,5,6}:{(2,1),(11,1),(14,1),(84,1),(214,1)}
         8:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(61,1),(101,1),(225,1)}
         9:{2,4,5,6,7}:{(4,1),(19,1),(20,1),(24,1),(54,1),(57,1),(117,1),(185,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(17,1),(21,1),(22,1),(175,1)}
        11:{1,3,5,6}:{(3,1),(7,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(24,1),(122,1)}
        13:{2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(59,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(115,1),(182,1)}
        15:{1,2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(61,1),(116,1),(160,1),(163,1),(169,1),(183,1),(186,1),(187,1),(223,1),(230,1),(269,1),(276,1)}
        16:{2,3,4,5}:{(8,1),(29,1),(89,1),(124,1),(251,1)}
        17:{2,3,4,7}:{(8,1),(10,1),(31,1),(88,1),(133,1),(207,1)}
        18:{1,3,4,6}:{(8,1),(11,1),(29,1),(31,1),(32,1),(74,1),(84,1)}
        19:{1,4,5,6,7}:{(9,1),(33,1),(40,1),(85,1),(213,1)}
        20:{3,5,6,7}:{(9,1),(35,1),(150,1),(215,1)}
        21:{2,3,6,7}:{(10,1),(13,1),(37,1),(150,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(31,1),(37,1),(38,1)}
        23:{2,5,6}:{(11,1),(32,1),(38,1)}
        24:{2,5,6,7}:{(12,1),(13,1),(40,1),(152,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(41,1),(42,1),(73,1),(88,1),(137,1),(141,1),(149,1),(152,1),(154,1),(201,1),(204,1),(255,1)}
        27:{1,3,5,6}:{(15,1),(39,1),(42,1),(43,1),(74,1),(140,1),(195,1),(206,1),(286,1),(292,1)}
        28:{2,3,4,5,7}:{(16,1),(17,1),(44,1),(45,1),(49,1),(120,1),(156,1),(166,1),(217,1),(228,1),(236,1),(269,1),(275,1),(278,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1),(95,1),(116,1)}
        30:{2,3,4,6,7}:{(17,1),(21,1),(44,1),(49,1),(50,1),(57,1),(111,1),(119,1),(166,1),(167,1),(184,1),(228,1),(239,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(22,1),(51,1),(104,1),(115,1)}
        32:{2,4,6}:{(18,1),(23,1),(46,1),(51,1),(52,1)}
        33:{1,3,5,6,7}:{(19,1),(20,1),(53,1),(54,1),(240,1)}
        34:{1,2,5,6}:{(23,1),(47,1),(55,1),(56,1),(169,1),(230,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(57,1)}
        36:{2,3,5,6,7}:{(20,1),(21,1),(24,1),(49,1),(54,1),(57,1),(58,1),(111,1)}
        37:{1,3,6,7}:{(21,1),(22,1),(25,1),(59,1)}
        38:{2,5,7}:{(22,1),(23,1),(51,1),(59,1)}
        39:{2,3,5,6}:{(23,1),(27,1),(52,1),(56,1),(60,1),(61,1),(101,1),(110,1),(169,1),(178,1),(186,1),(230,1)}
        40:{1,5,6,7}:{(24,1),(25,1),(182,1)}
        41:{1,2,4,6,7}:{(25,1),(26,1),(59,1),(62,1),(63,1),(117,1),(119,1),(121,1),(183,1),(230,1),(276,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(60,1),(63,1),(64,1),(104,1),(175,1),(275,1)}
        43:{1,3,4,6}:{(27,1),(61,1),(64,1),(65,1),(223,1),(225,1),(268,1)}
        44:{2,3,4,6}:{(28,1),(68,1),(69,1),(153,1),(189,1),(245,1),(261,1),(292,1),(294,1)}
        45:{1,3,4,5,7}:{(28,1),(29,1),(31,1),(69,1),(70,1),(76,1),(127,1),(149,1),(198,1),(204,1),(207,1),(243,1),(250,1),(251,1),(293,1)}
        46:{2,4,5}:{(29,1),(32,1),(71,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(66,1),(73,1),(74,1),(84,1),(134,1)}
        48:{3,4,5,7}:{(35,1),(67,1),(75,1),(215,1),(254,1)}
        49:{2,3,5,7}:{(30,1),(68,1),(75,1),(76,1),(152,1),(215,1),(263,1)}
        50:{1,3,4,6,7}:{(30,1),(31,1),(37,1),(69,1),(76,1),(77,1),(85,1),(138,1),(145,1),(148,1),(150,1),(198,1),(204,1),(207,1),(262,1)}
        51:{2,4,7}:{(31,1),(32,1),(38,1),(78,1)}
        52:{2,3,6}:{(32,1),(71,1),(74,1),(78,1)}
        53:{1,3,4,6,7}:{(33,1),(35,1),(72,1),(80,1),(85,1),(145,1),(150,1)}
        54:{2,5,6,7}:{(33,1),(80,1),(81,1),(263,1)}
        55:{1,2,5,7}:{(34,1),(38,1),(73,1),(82,1),(83,1),(201,1)}
        56:{1,3,5,6}:{(34,1),(39,1),(74,1),(83,1),(84,1),(140,1),(206,1),(214,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(75,1),(85,1)}
        58:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(76,1),(81,1),(85,1),(86,1),(145,1),(150,1)}
        59:{2,6,7}:{(37,1),(38,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(42,1),(78,1),(83,1),(87,1),(88,1),(133,1),(152,1),(201,1)}
        61:{2,4,6}:{(39,1),(43,1),(84,1),(88,1),(89,1)}
        62:{1,2,5,6,7}:{(40,1),(41,1),(86,1),(90,1),(137,1),(152,1),(210,1),(214,1),(256,1)}
        63:{1,3,6,7}:{(41,1),(42,1),(87,1),(150,1),(206,1),(292,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(88,1),(204,1),(207,1),(254,1)}
        65:{1,3,4,5}:{(43,1),(89,1),(140,1),(250,1),(251,1),(286,1)}
        66:{1,2,4,5}:{(46,1),(47,1),(95,1),(116,1),(157,1),(169,1)}
        67:{3,4,5,6}:{(48,1),(96,1),(242,1),(268,1)}
        68:{2,3,5,6}:{(44,1),(49,1),(96,1),(97,1),(186,1),(242,1),(281,1)}
        69:{1,3,4,6}:{(44,1),(45,1),(97,1),(98,1),(161,1),(183,1),(223,1),(225,1),(305,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(51,1),(98,1),(99,1),(107,1),(176,1),(226,1),(227,1),(265,1)}
        71:{2,3,5}:{(46,1),(52,1),(95,1),(100,1)}
        72:{1,3,4,5,7}:{(48,1),(53,1),(93,1),(102,1),(106,1),(170,1),(175,1),(233,1),(240,1)}
        73:{1,2,4,7}:{(47,1),(51,1),(55,1),(104,1),(115,1),(168,1)}
        74:{1,3,6}:{(47,1),(52,1),(95,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(57,1),(96,1),(106,1),(228,1)}
        76:{1,3,5,7}:{(49,1),(50,1),(97,1),(106,1),(107,1),(175,1),(182,1),(280,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(59,1),(98,1),(107,1),(108,1),(176,1),(179,1),(227,1)}
        78:{2,3,7}:{(51,1),(52,1),(104,1)}
        79:{2,3,4,6}:{(52,1),(61,1),(100,1),(105,1),(109,1),(110,1),(178,1),(268,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(102,1),(111,1),(112,1),(179,1)}
        81:{1,5,6,7}:{(54,1),(112,1),(280,1)}
        82:{1,2,6,7}:{(55,1),(59,1),(114,1),(230,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(60,1),(104,1),(114,1),(115,1),(182,1)}
        84:{1,4,6}:{(56,1),(61,1),(115,1),(116,1)}
        85:{1,4,6,7}:{(57,1),(58,1),(106,1),(117,1)}
        86:{2,5,6,7}:{(58,1),(59,1),(107,1),(117,1),(179,1)}
        87:{2,3,6,7}:{(59,1),(60,1),(63,1),(114,1),(119,1),(178,1),(230,1)}
        88:{2,4,7}:{(60,1),(61,1),(64,1),(115,1)}
        89:{2,4,5}:{(61,1),(65,1),(110,1),(116,1),(169,1)}
        90:{1,3,5,6,7}:{(62,1),(63,1),(118,1),(121,1),(122,1),(172,1),(235,1),(238,1),(280,1)}
        91:{1,3,4,6,7}:{(63,1),(64,1),(119,1),(121,1),(122,1),(123,1),(184,1)}
        92:{1,3,4,5,7}:{(64,1),(65,1),(120,1),(122,1),(123,1),(174,1),(234,1),(236,1),(275,1)}
        93:{1,3,4,5,6}:{(67,1),(72,1),(125,1),(129,1),(191,1),(195,1),(249,1),(264,1)}
        94:{1,2,4,5,7}:{(66,1),(70,1),(73,1),(126,1),(127,1),(137,1),(149,1),(190,1),(201,1),(204,1),(246,1),(250,1),(252,1),(255,1),(282,1),(293,1),(310,1)}
        95:{1,3,5}:{(66,1),(71,1),(74,1),(124,1),(128,1)}
        96:{2,4,5,6}:{(67,1),(68,1),(75,1),(129,1),(245,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(195,1),(214,1),(295,1)}
        98:{2,4,6}:{(69,1),(70,1),(130,1),(131,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(78,1),(127,1),(131,1),(132,1),(197,1),(253,1),(283,1)}
       100:{2,3,4}:{(71,1),(128,1)}
       101:{2,3,6}:{(74,1),(124,1),(133,1),(134,1)}
       102:{2,4,5,7}:{(72,1),(80,1),(125,1),(135,1),(136,1),(202,1),(258,1),(263,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(82,1),(126,1),(137,1),(138,1),(148,1),(200,1),(204,1),(210,1),(252,1),(262,1)}
       104:{1,3,7}:{(73,1),(74,1),(78,1),(133,1)}
       105:{1,3,4,6}:{(74,1),(79,1),(84,1),(128,1),(134,1),(139,1),(140,1),(206,1)}
       106:{1,4,5,7}:{(75,1),(76,1),(85,1),(129,1),(141,1),(204,1)}
       107:{2,5,7}:{(76,1),(77,1),(130,1)}
       108:{2,3,6,7}:{(77,1),(78,1),(131,1),(138,1),(142,1),(150,1),(253,1)}
       109:{2,3,4,7}:{(78,1),(79,1),(88,1),(139,1),(144,1),(254,1)}
       110:{2,3,5}:{(79,1),(89,1),(140,1),(286,1)}
       111:{2,3,6,7}:{(80,1),(135,1),(145,1),(150,1)}
       112:{1,4,6,7}:{(80,1),(81,1),(136,1),(145,1)}
       113:{1,2,5,6,7}:{(81,1),(82,1),(86,1),(137,1),(146,1),(147,1),(256,1),(263,1),(295,1)}
       114:{1,3,6,7}:{(82,1),(83,1),(87,1),(148,1),(206,1)}
       115:{1,4,7}:{(83,1),(84,1),(88,1)}
       116:{1,4,5}:{(84,1),(89,1),(140,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(141,1),(150,1)}
       118:{2,3,5,6,7}:{(86,1),(87,1),(90,1),(142,1),(147,1),(150,1),(151,1),(152,1),(199,1),(209,1),(211,1),(215,1),(256,1),(263,1),(292,1)}
       119:{2,4,6,7}:{(87,1),(88,1),(91,1),(148,1),(152,1),(153,1)}
       120:{2,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(149,1),(152,1),(153,1),(201,1)}
       121:{1,4,6,7}:{(90,1),(151,1),(154,1),(204,1),(260,1)}
       122:{1,3,5,7}:{(91,1),(152,1),(154,1),(155,1),(215,1)}
       123:{1,3,4,6}:{(92,1),(153,1),(155,1),(206,1),(260,1),(261,1),(292,1)}
       124:{2,3,5}:{(95,1),(101,1),(157,1),(169,1)}
       125:{2,4,5,6}:{(93,1),(102,1),(158,1),(159,1),(221,1),(271,1),(281,1)}
       126:{1,2,4,6}:{(94,1),(98,1),(160,1),(161,1),(183,1),(220,1),(223,1),(230,1),(276,1),(305,1),(314,1)}
       127:{1,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(156,1),(161,1),(162,1),(224,1),(273,1),(275,1),(296,1)}
       128:{1,3,4}:{(95,1),(100,1),(157,1)}
       129:{1,4,5,6}:{(96,1),(97,1),(106,1),(163,1),(223,1)}
       130:{2,5,6}:{(97,1),(98,1),(107,1)}
       131:{2,3,6}:{(98,1),(99,1),(161,1)}
       132:{2,3,4,7}:{(99,1),(100,1),(162,1),(165,1),(176,1),(297,1)}
       133:{2,3,7}:{(101,1),(104,1),(168,1)}
       134:{2,4,6}:{(101,1),(105,1),(157,1),(168,1),(169,1),(230,1)}
       135:{2,3,5,7}:{(102,1),(111,1),(158,1),(166,1),(170,1),(175,1)}
       136:{1,4,5,7}:{(102,1),(112,1),(159,1),(170,1),(277,1),(280,1)}
       137:{1,2,5,7}:{(103,1),(107,1),(160,1),(172,1),(182,1),(229,1),(280,1)}
       138:{1,3,6,7}:{(103,1),(104,1),(108,1),(161,1),(167,1),(172,1),(273,1)}
       139:{1,3,4,7}:{(104,1),(105,1),(109,1),(115,1),(168,1),(174,1)}
       140:{1,3,5}:{(105,1),(110,1),(116,1),(169,1)}
       141:{2,4,5,7}:{(106,1),(107,1),(117,1),(163,1),(175,1),(176,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(164,1),(172,1),(175,1),(176,1)}
       143:{2,3,4,6,7}:{(108,1),(109,1),(119,1),(165,1),(173,1),(176,1),(177,1),(178,1),(184,1),(237,1),(239,1),(274,1),(304,1)}
       144:{2,3,5,7}:{(109,1),(110,1),(120,1),(174,1),(178,1),(275,1)}
       145:{1,3,6,7}:{(111,1),(112,1),(170,1),(179,1)}
       146:{1,2,4,6,7}:{(112,1),(113,1),(117,1),(171,1),(179,1),(180,1),(181,1),(239,1),(276,1),(305,1),(314,1)}
       147:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(172,1),(180,1),(181,1),(182,1),(235,1),(240,1)}
       148:{1,4,6,7}:{(114,1),(115,1),(119,1),(182,1),(183,1)}
       149:{1,4,5,7}:{(115,1),(116,1),(120,1),(174,1),(182,1),(183,1)}
       150:{3,6,7}:{(117,1),(175,1)}
       151:{2,4,6,7}:{(118,1),(121,1),(176,1),(181,1),(184,1),(185,1),(228,1),(237,1),(276,1)}
       152:{2,5,7}:{(119,1),(122,1),(182,1),(186,1)}
       153:{2,4,6}:{(120,1),(123,1),(178,1),(183,1),(186,1),(230,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(185,1),(187,1),(280,1)}
       155:{1,3,5,6}:{(122,1),(123,1),(186,1),(187,1),(242,1)}
       156:{2,3,5,7}:{(124,1),(127,1),(133,1),(189,1),(190,1),(201,1),(246,1),(289,1),(306,1),(310,1)}
       157:{2,4}:{(124,1),(128,1)}
       158:{2,3,5,6}:{(125,1),(135,1),(188,1),(191,1),(195,1)}
       159:{1,4,5,6}:{(125,1),(136,1),(191,1),(287,1),(295,1)}
       160:{1,2,5,6}:{(126,1),(130,1),(137,1),(193,1),(214,1),(246,1),(256,1),(295,1)}
       161:{1,3,6}:{(126,1),(127,1),(131,1),(189,1),(292,1)}
       162:{1,3,4,7}:{(127,1),(128,1),(132,1),(190,1),(194,1),(204,1),(254,1),(307,1)}
       163:{2,4,5,6}:{(129,1),(130,1),(141,1),(195,1),(196,1)}
       164:{2,3,5,6}:{(130,1),(131,1),(142,1),(193,1),(195,1),(196,1),(197,1)}
       165:{2,3,4,6}:{(131,1),(132,1),(194,1),(196,1),(197,1)}
       166:{2,3,4,7}:{(135,1),(188,1),(198,1),(207,1),(258,1),(289,1)}
       167:{2,3,6,7}:{(133,1),(138,1),(189,1),(199,1),(200,1),(289,1),(292,1)}
       168:{2,4,7}:{(133,1),(134,1),(139,1),(201,1)}
       169:{2,5}:{(134,1),(140,1)}
       170:{1,3,5,7}:{(135,1),(136,1),(145,1),(191,1),(198,1),(202,1)}
       171:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(146,1),(192,1),(202,1),(203,1),(204,1),(213,1),(252,1),(255,1),(258,1),(263,1),(293,1),(310,1)}
       172:{1,3,5,7}:{(137,1),(138,1),(142,1),(193,1),(199,1),(204,1)}
       173:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(148,1),(194,1),(200,1),(204,1),(205,1),(206,1),(254,1),(260,1),(262,1),(290,1),(292,1),(311,1)}
       174:{1,3,5,7}:{(139,1),(140,1),(144,1),(149,1),(201,1),(206,1)}
       175:{3,5,7}:{(141,1),(150,1),(195,1),(207,1)}
       176:{2,4,7}:{(142,1),(196,1),(204,1),(207,1)}
       177:{2,3,5,7}:{(143,1),(152,1),(197,1),(205,1),(208,1),(209,1),(215,1),(263,1)}
       178:{2,3,6}:{(144,1),(153,1),(206,1),(292,1)}
       179:{2,6,7}:{(145,1),(202,1)}
       180:{1,3,6,7}:{(146,1),(150,1),(203,1),(211,1),(292,1),(311,1)}
       181:{1,4,6,7}:{(147,1),(151,1),(204,1),(213,1),(260,1)}
       182:{1,5,7}:{(148,1),(152,1),(214,1)}
       183:{1,4,6}:{(149,1),(153,1),(206,1),(214,1)}
       184:{3,4,6,7}:{(150,1),(151,1),(207,1),(215,1),(254,1),(261,1),(292,1)}
       185:{2,4,5,7}:{(151,1),(152,1),(154,1),(213,1),(215,1),(216,1),(263,1)}
       186:{2,5,6}:{(152,1),(153,1),(155,1),(214,1)}
       187:{1,4,5,6}:{(154,1),(155,1),(216,1),(260,1),(295,1)}
       188:{2,3,4,6}:{(158,1),(166,1),(217,1),(218,1),(225,1),(271,1),(298,1)}
       189:{2,3,6}:{(156,1),(161,1),(220,1),(230,1),(314,1)}
       190:{2,4,7}:{(156,1),(157,1),(162,1),(220,1),(312,1)}
       191:{1,3,5,6}:{(158,1),(159,1),(170,1),(218,1),(221,1)}
       192:{1,2,4,5,6}:{(159,1),(160,1),(163,1),(171,1),(221,1),(222,1),(223,1),(241,1),(266,1),(269,1),(271,1),(276,1),(281,1),(301,1),(305,1),(313,1),(314,1)}
       193:{1,3,5,6}:{(160,1),(161,1),(164,1),(172,1),(219,1),(223,1),(224,1)}
       194:{1,3,4,6}:{(161,1),(162,1),(165,1),(220,1),(223,1),(224,1),(268,1)}
       195:{3,5,6}:{(163,1),(175,1),(225,1)}
       196:{2,4,6}:{(164,1),(176,1),(223,1),(225,1),(226,1)}
       197:{2,3,5}:{(165,1),(224,1),(226,1)}
       198:{1,3,4,7}:{(166,1),(170,1),(218,1),(227,1),(273,1),(277,1)}
       199:{2,3,5,7}:{(167,1),(172,1),(219,1),(228,1),(229,1),(275,1)}
       200:{2,4,6,7}:{(167,1),(168,1),(173,1),(220,1),(228,1),(229,1),(230,1),(276,1),(302,1),(314,1)}
       201:{2,5,7}:{(168,1),(169,1),(174,1),(230,1)}
       202:{2,5,7}:{(170,1),(179,1),(221,1),(227,1)}
       203:{1,3,5,7}:{(171,1),(175,1),(180,1),(222,1),(232,1),(233,1),(273,1),(275,1)}
       204:{1,4,7}:{(172,1),(176,1),(223,1),(228,1)}
       205:{1,3,5,7}:{(173,1),(177,1),(182,1),(224,1),(229,1),(234,1),(235,1),(275,1),(280,1)}
       206:{1,3,6}:{(174,1),(178,1),(183,1),(230,1)}
       207:{3,4,7}:{(175,1),(176,1),(225,1)}
       208:{2,4,5,7}:{(176,1),(177,1),(226,1),(234,1),(236,1),(237,1)}
       209:{2,3,5,6}:{(177,1),(178,1),(186,1),(235,1),(237,1),(242,1),(281,1),(304,1)}
       210:{1,2,6,7}:{(179,1),(231,1),(238,1),(314,1)}
       211:{2,3,6,7}:{(179,1),(180,1),(232,1),(238,1),(239,1),(304,1),(314,1)}
       212:{1,3,4,6,7}:{(180,1),(181,1),(184,1),(233,1),(239,1),(240,1),(279,1)}
       213:{1,4,5,7}:{(181,1),(182,1),(185,1),(240,1),(241,1)}
       214:{1,5,6}:{(182,1),(183,1),(186,1)}
       215:{3,5,7}:{(184,1),(185,1),(242,1)}
       216:{2,4,5,6}:{(185,1),(186,1),(187,1),(237,1),(241,1),(242,1),(276,1),(281,1)}
       217:{2,3,4,5}:{(188,1),(243,1),(251,1),(288,1),(306,1)}
       218:{1,3,4,6}:{(188,1),(191,1),(198,1),(243,1),(244,1),(284,1),(287,1)}
       219:{2,3,5,6}:{(189,1),(193,1),(199,1),(245,1),(246,1),(256,1),(286,1),(292,1)}
       220:{2,4,6}:{(189,1),(190,1),(194,1),(246,1)}
       221:{2,5,6}:{(191,1),(202,1),(244,1)}
       222:{1,3,5,6}:{(192,1),(195,1),(203,1),(248,1),(249,1),(284,1),(286,1),(292,1),(309,1),(311,1)}
       223:{1,4,6}:{(193,1),(196,1),(204,1),(245,1),(250,1)}
       224:{1,3,5}:{(194,1),(197,1),(246,1),(250,1),(286,1)}
       225:{3,4,6}:{(195,1),(196,1),(207,1),(251,1)}
       226:{2,4,5}:{(196,1),(197,1),(250,1),(251,1)}
       227:{2,4,7}:{(198,1),(202,1),(244,1),(253,1)}
       228:{2,4,7}:{(199,1),(204,1),(245,1),(254,1)}
       229:{2,5,7}:{(200,1),(205,1),(246,1),(256,1)}
       230:{2,6}:{(201,1),(206,1)}
       231:{1,2,5,7}:{(202,1),(210,1),(247,1),(252,1),(257,1),(310,1)}
       232:{2,3,5,7}:{(202,1),(203,1),(211,1),(248,1),(253,1),(257,1),(258,1),(263,1),(289,1),(310,1)}
       233:{1,3,4,7}:{(203,1),(204,1),(207,1),(249,1),(254,1),(258,1)}
       234:{1,4,5,7}:{(204,1),(205,1),(208,1),(250,1),(255,1),(260,1)}
       235:{1,3,5,6}:{(205,1),(206,1),(209,1),(214,1),(256,1),(260,1),(292,1),(295,1),(311,1)}
       236:{3,4,5,7}:{(207,1),(208,1),(215,1),(251,1),(261,1)}
       237:{2,4,6}:{(208,1),(209,1),(260,1),(261,1)}
       238:{1,3,6,7}:{(210,1),(211,1),(257,1),(262,1),(311,1)}
       239:{2,4,6,7}:{(211,1),(212,1),(258,1),(262,1),(263,1),(294,1)}
       240:{1,3,5,7}:{(212,1),(213,1),(215,1),(263,1),(264,1)}
       241:{1,4,5,6}:{(213,1),(214,1),(216,1),(260,1),(264,1)}
       242:{3,5,6}:{(215,1),(216,1),(261,1),(292,1)}
       243:{1,3,4,5}:{(217,1),(218,1),(265,1),(296,1),(301,1)}
       244:{2,4,6}:{(218,1),(221,1),(227,1),(265,1),(267,1)}
       245:{2,4,6}:{(219,1),(223,1),(228,1),(268,1),(269,1)}
       246:{2,5}:{(220,1),(224,1)}
       247:{1,2,5,6}:{(221,1),(231,1),(266,1),(270,1),(313,1),(314,1)}
       248:{2,3,5,6}:{(221,1),(222,1),(232,1),(267,1),(270,1),(271,1),(281,1),(298,1),(300,1),(304,1),(313,1),(314,1)}
       249:{1,3,4,6}:{(222,1),(223,1),(225,1),(233,1),(268,1),(271,1),(272,1)}
       250:{1,4,5}:{(223,1),(224,1),(226,1),(269,1)}
       251:{3,4,5}:{(225,1),(226,1)}
       252:{1,2,4,7}:{(227,1),(231,1),(266,1),(273,1),(277,1),(302,1)}
       253:{2,3,7}:{(227,1),(267,1),(273,1)}
       254:{3,4,7}:{(228,1),(268,1),(275,1)}
       255:{2,4,5,7}:{(228,1),(229,1),(234,1),(269,1),(275,1),(276,1)}
       256:{2,5,6}:{(229,1),(230,1),(235,1),(276,1),(314,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(238,1),(270,1),(273,1),(277,1),(280,1)}
       258:{2,4,7}:{(232,1),(233,1),(271,1),(277,1)}
       259:{1,3,4,5,7}:{(233,1),(234,1),(236,1),(240,1),(272,1),(275,1),(278,1),(279,1),(303,1)}
       260:{1,4,6}:{(234,1),(235,1),(237,1),(276,1)}
       261:{3,4,6}:{(236,1),(237,1),(242,1)}
       262:{1,4,6,7}:{(238,1),(239,1),(277,1),(280,1),(305,1)}
       263:{2,5,7}:{(239,1),(240,1),(280,1),(281,1)}
       264:{1,3,5,6}:{(240,1),(241,1),(242,1),(279,1),(281,1)}
       265:{2,4,5}:{(243,1),(244,1),(283,1)}
       266:{1,2,4,6}:{(244,1),(247,1),(252,1),(282,1),(284,1),(287,1),(308,1)}
       267:{2,3,6}:{(244,1),(253,1),(283,1),(284,1)}
       268:{3,4,6}:{(245,1),(254,1),(286,1),(292,1)}
       269:{2,4,5}:{(245,1),(246,1),(250,1),(286,1)}
       270:{1,3,5,6}:{(247,1),(248,1),(257,1),(284,1),(287,1),(295,1),(309,1),(311,1)}
       271:{2,4,6}:{(248,1),(249,1),(258,1),(287,1),(288,1)}
       272:{1,3,4,5}:{(249,1),(250,1),(251,1),(286,1),(288,1),(309,1)}
       273:{1,3,7}:{(252,1),(253,1),(284,1),(289,1)}
       274:{2,3,4,7}:{(253,1),(254,1),(258,1),(285,1),(290,1),(291,1)}
       275:{3,5,7}:{(254,1),(255,1),(286,1),(292,1)}
       276:{2,4,6}:{(255,1),(256,1),(260,1),(292,1)}
       277:{1,4,7}:{(257,1),(258,1),(287,1)}
       278:{2,4,5,7}:{(258,1),(259,1),(263,1),(288,1),(291,1),(293,1),(294,1),(310,1)}
       279:{1,3,4,6}:{(259,1),(260,1),(261,1),(264,1),(292,1),(294,1),(311,1)}
       280:{1,5,7}:{(262,1),(263,1),(295,1)}
       281:{2,5,6}:{(263,1),(264,1),(294,1),(295,1)}
       282:{1,2,4,5}:{(265,1),(266,1),(296,1),(301,1),(312,1),(313,1)}
       283:{2,3,5}:{(265,1),(267,1),(296,1),(297,1)}
       284:{1,3,6}:{(266,1),(267,1),(273,1),(296,1),(298,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(271,1),(274,1),(297,1),(299,1),(300,1),(304,1)}
       286:{3,5}:{(268,1),(269,1)}
       287:{1,4,6}:{(270,1),(271,1),(277,1),(301,1)}
       288:{2,4,5}:{(271,1),(272,1),(300,1),(301,1),(313,1)}
       289:{2,3,7}:{(273,1),(298,1),(302,1)}
       290:{1,3,4,7}:{(273,1),(274,1),(277,1),(299,1),(302,1),(303,1)}
       291:{2,3,5,7}:{(274,1),(275,1),(278,1),(300,1),(303,1),(304,1)}
       292:{3,6}:{(275,1),(276,1)}
       293:{1,4,5,7}:{(277,1),(278,1),(280,1),(301,1),(303,1),(305,1)}
       294:{2,4,6}:{(278,1),(279,1),(281,1),(304,1),(305,1),(314,1)}
       295:{1,5,6}:{(280,1),(281,1),(305,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(306,1),(307,1)}
       297:{2,3,4}:{(283,1),(307,1)}
       298:{2,3,6}:{(284,1),(289,1),(306,1),(308,1)}
       299:{1,3,4,6}:{(284,1),(285,1),(287,1),(290,1),(307,1),(308,1),(309,1),(311,1)}
       300:{2,3,5}:{(285,1),(286,1),(288,1),(309,1)}
       301:{1,4,5}:{(287,1),(288,1),(309,1)}
       302:{2,4,7}:{(289,1),(290,1),(308,1),(310,1)}
       303:{1,3,5,7}:{(290,1),(291,1),(293,1),(309,1),(310,1),(311,1)}
       304:{2,3,6}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,4,6}:{(293,1),(294,1),(295,1),(311,1)}
       306:{2,3,5}:{(296,1),(298,1),(312,1),(313,1)}
       307:{1,3,4}:{(296,1),(297,1),(312,1)}
       308:{2,4,6}:{(298,1),(299,1),(302,1),(312,1),(313,1),(314,1)}
       309:{1,3,5}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,5,7}:{(302,1),(303,1),(313,1),(314,1)}
       311:{1,3,6}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4}:{(306,1),(307,1)}
       313:{2,5}:{(308,1),(309,1)}
       314:{2,6}:{(310,1),(311,1)}

2221 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2222 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2223 :   0:{1,3,4,5,7}:{(4,1),(5,1),(8,1),(25,1),(30,1),(73,1),(89,1),(94,1),(95,1),(151,1),(152,1),(161,1),(164,1),(220,1)}
         1:{1,3,4,6,7}:{(5,1),(7,1),(8,1),(10,1),(38,1),(43,1),(94,1),(95,1),(164,1)}
         2:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(43,1),(86,1)}
         3:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(18,1),(45,1),(52,1),(61,1),(102,1),(105,1),(107,1),(108,1),(124,1),(128,1),(168,1),(181,1),(187,1),(238,1),(243,1),(254,1),(277,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(14,1),(15,1),(21,1),(45,1),(52,1),(64,1),(107,1),(115,1),(128,1),(187,1)}
         5:{1,3,4,6}:{(0,1),(15,1),(16,1),(53,1),(117,1),(118,1),(122,1),(189,1),(195,1)}
         6:{1,2,4,6,7}:{(12,1),(17,1),(18,1),(20,1),(57,1),(61,1),(62,1),(128,1),(175,1),(231,1),(277,1)}
         7:{2,4,6,7}:{(1,1),(15,1),(19,1),(20,1),(21,1),(62,1),(64,1),(128,1)}
         8:{1,3,5,7}:{(1,1),(16,1),(21,1),(22,1),(66,1)}
         9:{2,5,6,7}:{(2,1),(21,1),(23,1),(24,1),(121,1)}
        10:{1,4,6,7}:{(2,1),(22,1),(24,1),(122,1),(131,1)}
        11:{1,3,5,7}:{(3,1),(25,1),(26,1),(27,1),(73,1),(142,1),(161,1),(164,1),(214,1),(220,1),(263,1),(292,1)}
        12:{1,2,4,6}:{(3,1),(27,1),(28,1),(32,1),(72,1),(77,1),(81,1),(139,1),(153,1),(159,1),(203,1),(260,1),(275,1)}
        13:{2,3,5,7}:{(4,1),(29,1),(30,1),(31,1),(80,1),(161,1),(164,1),(220,1),(227,1)}
        14:{1,4,5,7}:{(4,1),(30,1),(32,1),(40,1),(71,1),(94,1),(144,1),(151,1)}
        15:{2,4,6}:{(4,1),(5,1),(31,1),(32,1),(33,1),(81,1)}
        16:{1,3,5,6}:{(5,1),(8,1),(33,1),(34,1),(73,1),(85,1)}
        17:{1,3,6,7}:{(6,1),(27,1),(36,1),(37,1),(164,1),(275,1),(292,1)}
        18:{1,2,5,7}:{(6,1),(28,1),(37,1),(40,1),(88,1),(93,1),(210,1),(257,1),(276,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(38,1),(39,1),(43,1),(97,1),(164,1)}
        20:{1,4,6,7}:{(7,1),(32,1),(38,1),(40,1),(94,1)}
        21:{2,5,7}:{(7,1),(8,1),(33,1),(40,1)}
        22:{1,4,5,7}:{(8,1),(10,1),(34,1),(41,1),(94,1),(166,1)}
        23:{1,5,6,7}:{(9,1),(40,1),(42,1),(158,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(41,1),(42,1),(43,1),(97,1),(159,1)}
        25:{1,3,4,7}:{(11,1),(45,1),(46,1),(61,1),(127,1),(243,1),(248,1),(281,1)}
        26:{2,3,5,7}:{(11,1),(45,1),(47,1),(48,1),(52,1),(107,1),(112,1),(168,1),(171,1),(186,1),(237,1)}
        27:{1,3,6}:{(11,1),(12,1),(48,1),(189,1),(195,1),(279,1)}
        28:{1,2,5,6}:{(12,1),(18,1),(49,1),(55,1),(107,1),(116,1),(121,1),(178,1),(181,1),(234,1),(288,1)}
        29:{2,3,4,7}:{(13,1),(45,1),(50,1),(51,1),(64,1),(127,1),(171,1),(198,1),(199,1),(248,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(50,1),(52,1),(53,1),(114,1),(254,1)}
        31:{2,3,6}:{(13,1),(15,1),(53,1),(189,1),(195,1),(253,1)}
        32:{1,4,6}:{(14,1),(15,1),(53,1),(55,1)}
        33:{2,5,6}:{(15,1),(16,1),(21,1),(55,1),(107,1)}
        34:{1,4,5,6}:{(16,1),(22,1),(56,1),(108,1),(117,1),(122,1),(191,1)}
        35:{1,3,4,6,7}:{(17,1),(46,1),(57,1),(58,1),(61,1),(122,1),(127,1),(195,1)}
        36:{2,3,6,7}:{(17,1),(48,1),(57,1),(59,1),(60,1),(62,1),(195,1),(231,1),(253,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(49,1),(60,1),(61,1),(254,1),(255,1)}
        38:{1,3,6,7}:{(19,1),(20,1),(53,1),(62,1),(63,1),(131,1)}
        39:{2,3,5,7}:{(19,1),(21,1),(54,1),(63,1),(64,1),(66,1),(130,1),(199,1)}
        40:{1,5,7}:{(20,1),(21,1),(55,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(24,1),(56,1),(64,1),(65,1),(66,1),(128,1),(130,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(65,1),(67,1),(194,1)}
        43:{3,6,7}:{(24,1),(66,1),(195,1)}
        44:{1,3,4,5,7}:{(25,1),(69,1),(70,1),(73,1),(89,1),(132,1),(138,1),(161,1),(208,1),(209,1),(258,1),(259,1),(263,1),(292,1)}
        45:{2,4,7}:{(25,1),(26,1),(71,1),(72,1),(219,1),(262,1)}
        46:{1,3,4,6}:{(25,1),(27,1),(72,1),(73,1),(77,1),(148,1)}
        47:{1,3,5,7}:{(26,1),(71,1),(74,1),(75,1),(142,1),(144,1),(214,1)}
        48:{2,3,6}:{(26,1),(27,1),(72,1),(75,1),(81,1),(203,1)}
        49:{1,3,5,6}:{(27,1),(28,1),(37,1),(73,1),(76,1),(77,1),(214,1),(269,1),(270,1),(275,1)}
        50:{1,3,4,7}:{(29,1),(30,1),(71,1),(78,1),(79,1),(94,1),(142,1),(164,1),(229,1),(230,1)}
        51:{2,3,4,6}:{(29,1),(31,1),(72,1),(79,1),(80,1),(83,1),(148,1),(206,1),(218,1),(222,1),(262,1),(271,1)}
        52:{2,5,7}:{(30,1),(78,1),(81,1),(150,1)}
        53:{1,3,6}:{(30,1),(31,1),(32,1),(81,1),(275,1)}
        54:{2,3,5,6}:{(31,1),(33,1),(39,1),(80,1),(82,1),(83,1),(85,1),(155,1),(222,1)}
        55:{1,5,6}:{(32,1),(33,1),(40,1),(144,1)}
        56:{2,4,5,6}:{(33,1),(34,1),(41,1),(83,1),(84,1),(85,1),(145,1),(153,1),(155,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(72,1),(87,1),(88,1),(92,1),(159,1)}
        58:{1,3,5,7}:{(35,1),(73,1),(86,1),(88,1),(89,1),(161,1)}
        59:{1,3,6,7}:{(36,1),(75,1),(87,1),(90,1),(91,1),(226,1)}
        60:{2,3,5,7}:{(36,1),(37,1),(76,1),(88,1),(91,1),(92,1),(93,1),(161,1),(164,1),(227,1),(228,1),(257,1),(292,1)}
        61:{1,4,7}:{(37,1),(77,1),(92,1)}
        62:{2,6,7}:{(38,1),(81,1),(93,1)}
        63:{1,3,5,7}:{(38,1),(39,1),(40,1),(82,1),(93,1),(94,1),(164,1),(166,1),(230,1)}
        64:{2,4,7}:{(39,1),(83,1),(94,1),(95,1)}
        65:{1,4,5,7}:{(40,1),(41,1),(42,1),(84,1),(94,1),(96,1)}
        66:{3,5,7}:{(41,1),(43,1),(85,1),(95,1),(164,1)}
        67:{1,3,6,7}:{(42,1),(43,1),(96,1),(97,1),(226,1)}
        68:{2,3,4,7}:{(45,1),(98,1),(99,1),(100,1),(112,1),(127,1),(198,1),(233,1),(281,1),(302,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(98,1),(102,1),(103,1),(107,1),(168,1),(174,1),(176,1),(233,1),(238,1),(277,1)}
        70:{1,3,4,6}:{(44,1),(103,1),(104,1),(122,1),(169,1),(195,1),(235,1),(236,1),(279,1)}
        71:{1,4,7}:{(45,1),(47,1),(106,1),(243,1)}
        72:{2,4,6}:{(45,1),(46,1),(48,1),(106,1),(107,1)}
        73:{1,3,5}:{(46,1),(107,1),(108,1),(183,1)}
        74:{1,2,5,7}:{(47,1),(52,1),(105,1),(109,1),(168,1),(181,1),(254,1)}
        75:{1,3,6}:{(47,1),(48,1),(106,1),(109,1)}
        76:{2,3,5,6}:{(48,1),(49,1),(60,1),(107,1),(110,1),(111,1),(116,1),(121,1),(183,1),(186,1),(189,1),(195,1),(234,1),(237,1),(245,1),(246,1),(253,1),(279,1)}
        77:{1,4,6}:{(49,1),(61,1),(108,1),(111,1),(243,1)}
        78:{2,4,7}:{(50,1),(52,1),(112,1),(113,1),(256,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(53,1),(106,1),(113,1),(114,1),(117,1),(180,1),(189,1),(243,1),(247,1),(248,1),(251,1),(289,1)}
        80:{2,3,5}:{(51,1),(107,1),(114,1),(115,1),(183,1),(245,1)}
        81:{2,6}:{(52,1),(53,1)}
        82:{1,3,5,6}:{(53,1),(54,1),(55,1),(63,1),(114,1),(116,1),(117,1),(189,1),(191,1),(251,1)}
        83:{2,4,6}:{(54,1),(64,1),(115,1),(117,1),(118,1)}
        84:{1,4,5,6}:{(55,1),(56,1),(65,1),(117,1),(119,1),(182,1),(194,1)}
        85:{3,5,6}:{(56,1),(66,1),(118,1),(183,1),(189,1),(195,1)}
        86:{1,3,5,6}:{(58,1),(121,1),(122,1),(195,1)}
        87:{1,4,6,7}:{(57,1),(59,1),(106,1),(123,1),(126,1),(194,1)}
        88:{2,5,7}:{(57,1),(58,1),(107,1),(121,1),(123,1)}
        89:{1,4,5,7}:{(58,1),(61,1),(108,1),(122,1),(124,1),(254,1)}
        90:{1,2,6,7}:{(59,1),(62,1),(109,1),(125,1),(131,1),(231,1),(253,1),(291,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(110,1),(123,1),(125,1),(126,1),(197,1)}
        92:{2,4,7}:{(60,1),(61,1),(111,1),(126,1),(127,1)}
        93:{2,5,7}:{(62,1),(63,1),(116,1),(128,1),(256,1)}
        94:{1,4,7}:{(63,1),(64,1),(117,1),(128,1)}
        95:{3,4,7}:{(64,1),(66,1),(118,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(119,1),(129,1),(130,1)}
        97:{2,6,7}:{(67,1),(130,1),(131,1),(253,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(132,1),(133,1),(136,1),(161,1),(227,1),(263,1),(292,1)}
        99:{1,3,4,7}:{(68,1),(71,1),(132,1),(134,1),(135,1),(142,1),(229,1),(258,1),(292,1),(309,1)}
       100:{2,3,4,6}:{(68,1),(72,1),(133,1),(135,1),(136,1),(148,1),(149,1),(205,1),(218,1),(219,1),(294,1),(296,1)}
       101:{1,3,4,6,7}:{(70,1),(137,1),(138,1),(157,1),(201,1),(225,1),(258,1),(259,1),(292,1)}
       102:{1,4,5,7}:{(69,1),(71,1),(132,1),(139,1),(144,1),(208,1),(210,1),(258,1)}
       103:{2,4,6}:{(69,1),(70,1),(133,1),(139,1),(140,1),(203,1)}
       104:{1,3,5,6}:{(70,1),(73,1),(138,1),(140,1),(141,1),(213,1)}
       105:{1,2,4,7}:{(71,1),(74,1),(78,1),(134,1),(142,1),(143,1),(229,1),(276,1)}
       106:{1,4,6}:{(71,1),(72,1),(75,1),(144,1)}
       107:{2,5}:{(72,1),(73,1),(144,1)}
       108:{1,4,5}:{(73,1),(77,1),(145,1),(269,1)}
       109:{1,2,6}:{(74,1),(75,1),(81,1),(203,1),(275,1)}
       110:{1,3,5,6}:{(75,1),(76,1),(91,1),(144,1),(146,1),(147,1),(158,1),(214,1),(216,1),(217,1),(226,1)}
       111:{2,4,6}:{(76,1),(77,1),(92,1),(145,1),(147,1),(148,1),(219,1),(262,1)}
       112:{2,3,7}:{(78,1),(142,1),(149,1),(164,1)}
       113:{2,4,6}:{(78,1),(79,1),(81,1),(149,1),(150,1),(219,1),(273,1),(301,1)}
       114:{1,3,5}:{(79,1),(80,1),(144,1),(150,1),(151,1),(220,1),(269,1)}
       115:{2,4,5}:{(80,1),(83,1),(151,1),(152,1),(262,1)}
       116:{2,5,6}:{(81,1),(82,1),(93,1),(150,1),(153,1),(273,1)}
       117:{1,4,6}:{(82,1),(83,1),(94,1),(151,1),(153,1)}
       118:{3,4,6}:{(83,1),(85,1),(95,1),(152,1)}
       119:{1,3,5,6}:{(84,1),(85,1),(96,1),(154,1),(155,1),(216,1),(226,1)}
       120:{1,3,5,6,7}:{(86,1),(138,1),(156,1),(157,1),(225,1)}
       121:{2,5,6}:{(86,1),(88,1),(158,1),(159,1)}
       122:{1,4,6}:{(86,1),(89,1),(159,1),(275,1)}
       123:{1,5,7}:{(87,1),(88,1),(144,1),(158,1)}
       124:{2,4,5,7}:{(88,1),(89,1),(92,1),(145,1),(159,1),(160,1),(161,1),(227,1)}
       125:{1,2,5,7}:{(90,1),(91,1),(93,1),(146,1),(162,1),(166,1),(227,1),(257,1),(298,1)}
       126:{1,4,7}:{(91,1),(92,1),(147,1)}
       127:{3,4,7}:{(92,1),(148,1),(161,1),(164,1),(292,1)}
       128:{2,4,7}:{(93,1),(94,1),(153,1),(164,1)}
       129:{1,3,4,7}:{(94,1),(95,1),(96,1),(154,1),(164,1),(165,1),(230,1)}
       130:{2,5,7}:{(96,1),(97,1),(155,1),(165,1),(166,1)}
       131:{1,6,7}:{(97,1),(166,1),(275,1)}
       132:{1,3,5,7}:{(98,1),(99,1),(102,1),(168,1),(169,1),(173,1),(254,1)}
       133:{2,3,6}:{(98,1),(103,1),(169,1),(195,1),(253,1),(279,1)}
       134:{2,4,7}:{(99,1),(168,1),(171,1),(172,1),(313,1)}
       135:{1,3,4,6}:{(99,1),(100,1),(106,1),(169,1),(172,1),(173,1),(180,1),(235,1),(243,1),(247,1),(279,1),(281,1),(304,1),(305,1)}
       136:{2,3,5}:{(100,1),(107,1),(173,1),(174,1),(183,1),(245,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(167,1),(175,1),(176,1),(231,1),(233,1),(277,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(176,1),(177,1),(241,1)}
       139:{1,4,6}:{(102,1),(103,1),(169,1),(178,1)}
       140:{2,5,6}:{(103,1),(104,1),(107,1),(176,1),(178,1)}
       141:{1,4,5,6}:{(104,1),(108,1),(122,1),(177,1),(179,1),(235,1),(285,1)}
       142:{1,3,7}:{(105,1),(112,1),(171,1),(180,1)}
       143:{1,2,4,6}:{(105,1),(106,1),(109,1),(113,1),(172,1),(180,1),(181,1),(243,1),(247,1),(288,1),(307,1)}
       144:{1,5}:{(106,1),(107,1)}
       145:{2,4,5}:{(107,1),(108,1),(111,1),(182,1),(183,1),(245,1)}
       146:{1,2,5,6}:{(109,1),(110,1),(116,1),(125,1),(181,1),(184,1),(191,1),(234,1),(245,1),(253,1),(285,1)}
       147:{1,4,6}:{(110,1),(111,1),(126,1),(182,1),(243,1)}
       148:{3,4,6}:{(111,1),(127,1),(183,1),(189,1),(195,1),(248,1),(279,1),(281,1)}
       149:{2,3,6}:{(112,1),(113,1),(180,1),(186,1),(189,1),(308,1)}
       150:{2,5}:{(113,1),(114,1)}
       151:{1,4,5}:{(114,1),(115,1),(117,1),(187,1),(243,1)}
       152:{3,4,5}:{(115,1),(118,1),(183,1),(281,1)}
       153:{2,4,6}:{(116,1),(117,1),(128,1),(187,1),(189,1)}
       154:{1,3,4,6}:{(117,1),(118,1),(119,1),(129,1),(188,1),(189,1),(190,1),(251,1)}
       155:{2,5,6}:{(119,1),(130,1),(190,1),(191,1),(245,1),(253,1)}
       156:{2,5,6,7}:{(120,1),(121,1),(176,1),(192,1),(193,1)}
       157:{1,4,6,7}:{(120,1),(122,1),(177,1),(193,1),(291,1)}
       158:{1,5,6}:{(121,1),(123,1),(194,1)}
       159:{2,4,6}:{(121,1),(122,1),(124,1),(194,1),(195,1),(253,1)}
       160:{1,4,5,7}:{(123,1),(124,1),(126,1),(182,1),(194,1),(196,1)}
       161:{3,5,7}:{(124,1),(127,1),(183,1),(195,1)}
       162:{1,2,4,7}:{(125,1),(126,1),(128,1),(184,1),(197,1),(198,1),(200,1),(256,1),(277,1),(303,1),(313,1)}
       163:{1,3,4,7}:{(126,1),(127,1),(185,1),(196,1),(197,1),(198,1)}
       164:{3,7}:{(128,1),(189,1)}
       165:{2,4,7}:{(129,1),(130,1),(190,1),(199,1),(200,1),(256,1)}
       166:{1,5,7}:{(130,1),(131,1),(191,1),(200,1)}
       167:{2,3,6,7}:{(133,1),(137,1),(201,1),(202,1),(225,1),(274,1),(292,1)}
       168:{2,5,7}:{(132,1),(134,1),(203,1),(207,1)}
       169:{1,3,6}:{(132,1),(133,1),(139,1),(203,1),(275,1)}
       170:{2,3,5,6}:{(133,1),(136,1),(140,1),(202,1),(204,1),(205,1),(213,1),(266,1),(294,1)}
       171:{2,3,7}:{(134,1),(142,1),(206,1),(292,1)}
       172:{2,4,6}:{(134,1),(135,1),(203,1),(206,1),(207,1),(262,1),(310,1),(311,1)}
       173:{1,3,5}:{(135,1),(136,1),(144,1),(207,1),(208,1),(263,1),(269,1)}
       174:{2,4,5}:{(136,1),(205,1),(208,1),(209,1),(219,1)}
       175:{1,4,6,7}:{(137,1),(139,1),(201,1),(210,1),(258,1)}
       176:{2,5,7}:{(137,1),(138,1),(140,1),(210,1)}
       177:{1,4,5,7}:{(138,1),(141,1),(157,1),(211,1),(258,1),(298,1)}
       178:{1,5,6}:{(139,1),(140,1),(144,1),(210,1)}
       179:{2,4,5,6}:{(140,1),(141,1),(145,1),(159,1),(205,1),(211,1),(212,1),(213,1),(260,1),(266,1)}
       180:{1,3,6}:{(142,1),(143,1),(149,1),(206,1),(214,1),(312,1)}
       181:{1,2,5}:{(143,1),(144,1),(150,1),(207,1),(214,1),(269,1)}
       182:{1,4,5}:{(144,1),(145,1),(147,1),(216,1)}
       183:{3,5}:{(145,1),(148,1)}
       184:{1,2,4,6}:{(146,1),(147,1),(153,1),(162,1),(215,1),(217,1),(218,1),(223,1),(260,1),(273,1),(295,1),(310,1)}
       185:{1,3,4,6}:{(147,1),(148,1),(163,1),(216,1),(217,1),(218,1),(226,1),(267,1)}
       186:{2,3,5}:{(149,1),(150,1),(214,1),(219,1),(220,1)}
       187:{2,4,5}:{(150,1),(151,1),(153,1),(219,1),(220,1)}
       188:{1,3,4,5}:{(151,1),(152,1),(154,1),(216,1),(220,1),(221,1),(267,1),(272,1)}
       189:{3,6}:{(153,1),(164,1),(220,1)}
       190:{2,4,6}:{(154,1),(155,1),(165,1),(221,1),(222,1),(223,1),(273,1)}
       191:{1,5,6}:{(155,1),(166,1),(223,1),(269,1),(275,1)}
       192:{1,5,6,7}:{(156,1),(158,1),(210,1),(224,1)}
       193:{2,4,6,7}:{(156,1),(157,1),(159,1),(211,1),(224,1),(225,1),(274,1)}
       194:{1,4,6}:{(158,1),(159,1),(160,1),(226,1)}
       195:{3,6}:{(159,1),(161,1)}
       196:{1,3,5,7}:{(160,1),(161,1),(163,1),(216,1),(226,1),(227,1)}
       197:{1,3,7}:{(162,1),(164,1),(217,1),(228,1),(292,1)}
       198:{2,4,7}:{(163,1),(218,1),(227,1),(228,1),(229,1)}
       199:{2,3,7}:{(164,1),(165,1),(222,1),(230,1)}
       200:{1,4,7}:{(165,1),(166,1),(223,1),(230,1)}
       201:{1,3,6,7}:{(167,1),(169,1),(175,1),(231,1),(232,1),(291,1)}
       202:{2,3,5,7}:{(167,1),(170,1),(176,1),(232,1),(233,1),(241,1),(284,1),(302,1)}
       203:{2,6}:{(168,1),(169,1)}
       204:{1,3,5,6}:{(169,1),(170,1),(173,1),(178,1),(232,1),(234,1),(235,1),(279,1),(285,1),(304,1)}
       205:{2,4,6}:{(170,1),(174,1),(233,1),(235,1),(236,1)}
       206:{2,3,6}:{(171,1),(172,1),(180,1),(237,1),(279,1),(314,1)}
       207:{2,5}:{(172,1),(173,1)}
       208:{1,4,5}:{(173,1),(174,1),(235,1),(238,1),(243,1)}
       209:{3,4,5}:{(174,1),(183,1),(236,1),(248,1)}
       210:{1,5,7}:{(175,1),(176,1),(178,1)}
       211:{2,4,5,7}:{(176,1),(177,1),(179,1),(193,1),(233,1),(240,1),(241,1),(277,1),(284,1)}
       212:{1,4,5,6}:{(178,1),(179,1),(182,1),(194,1),(235,1),(240,1),(242,1)}
       213:{3,5,6}:{(179,1),(183,1),(195,1),(236,1),(241,1),(279,1)}
       214:{1,3,5}:{(180,1),(181,1),(186,1),(237,1),(243,1)}
       215:{1,2,4,5}:{(181,1),(182,1),(184,1),(187,1),(238,1),(243,1),(244,1),(245,1),(250,1),(283,1),(286,1),(290,1),(306,1),(307,1)}
       216:{1,3,5}:{(182,1),(183,1),(185,1),(245,1)}
       217:{1,3,6}:{(184,1),(189,1),(197,1),(244,1),(246,1),(279,1)}
       218:{2,4,6}:{(185,1),(198,1),(245,1),(246,1),(247,1),(253,1),(286,1)}
       219:{2,4}:{(186,1),(243,1),(248,1)}
       220:{3,5}:{(187,1),(189,1),(248,1)}
       221:{2,4,5}:{(188,1),(190,1),(245,1),(249,1),(250,1),(286,1),(290,1)}
       222:{2,3,6}:{(189,1),(190,1),(199,1),(249,1),(251,1)}
       223:{1,4,6}:{(190,1),(191,1),(200,1),(250,1),(251,1)}
       224:{1,4,6,7}:{(192,1),(193,1),(194,1),(240,1),(252,1)}
       225:{3,6,7}:{(193,1),(195,1),(241,1)}
       226:{1,3,6}:{(194,1),(195,1),(196,1),(253,1)}
       227:{2,5,7}:{(196,1),(198,1),(245,1),(253,1),(254,1)}
       228:{2,3,7}:{(197,1),(198,1),(246,1),(255,1),(256,1),(313,1)}
       229:{1,4,7}:{(198,1),(247,1),(254,1),(255,1)}
       230:{1,3,7}:{(199,1),(200,1),(251,1),(256,1)}
       231:{2,6,7}:{(201,1),(203,1),(257,1)}
       232:{1,3,5,7}:{(201,1),(202,1),(204,1),(210,1),(257,1),(258,1),(292,1),(298,1),(309,1)}
       233:{2,4,7}:{(202,1),(205,1),(258,1),(259,1)}
       234:{2,5,6}:{(203,1),(204,1),(207,1),(257,1),(260,1),(310,1)}
       235:{1,4,6}:{(204,1),(205,1),(208,1),(258,1),(260,1)}
       236:{3,4,6}:{(205,1),(209,1),(213,1),(259,1)}
       237:{2,3,5}:{(206,1),(207,1),(214,1),(262,1),(263,1)}
       238:{2,4,5}:{(207,1),(208,1),(260,1),(262,1),(263,1)}
       239:{1,3,4,5}:{(208,1),(209,1),(216,1),(261,1),(263,1),(264,1),(267,1),(297,1)}
       240:{1,4,5,7}:{(210,1),(211,1),(212,1),(224,1),(258,1),(265,1)}
       241:{3,5,7}:{(211,1),(213,1),(225,1),(259,1),(292,1)}
       242:{1,3,5,6}:{(212,1),(213,1),(216,1),(226,1),(261,1),(265,1),(266,1)}
       243:{1,4}:{(214,1),(219,1),(262,1)}
       244:{1,3,5}:{(215,1),(217,1),(220,1),(263,1),(267,1),(268,1),(312,1)}
       245:{2,5}:{(216,1),(218,1),(269,1)}
       246:{2,3,6}:{(217,1),(218,1),(228,1),(268,1),(270,1),(273,1),(310,1)}
       247:{1,4,6}:{(218,1),(229,1),(269,1),(270,1),(275,1),(299,1)}
       248:{3,4}:{(219,1),(220,1)}
       249:{2,3,5}:{(220,1),(221,1),(222,1),(271,1),(272,1)}
       250:{1,4,5}:{(221,1),(223,1),(269,1),(272,1),(299,1)}
       251:{1,3,6}:{(222,1),(223,1),(230,1),(272,1),(273,1)}
       252:{1,3,6,7}:{(224,1),(225,1),(226,1),(265,1),(274,1)}
       253:{2,6}:{(226,1),(227,1),(275,1)}
       254:{1,5,7}:{(227,1),(229,1),(269,1),(275,1)}
       255:{1,3,7}:{(228,1),(229,1),(270,1),(276,1)}
       256:{2,7}:{(230,1),(273,1)}
       257:{2,5,7}:{(231,1),(232,1),(234,1),(277,1),(313,1)}
       258:{1,4,7}:{(232,1),(233,1),(235,1),(277,1)}
       259:{3,4,7}:{(233,1),(236,1),(241,1)}
       260:{2,4,6}:{(234,1),(235,1),(238,1),(277,1),(279,1)}
       261:{1,3,4,6}:{(235,1),(236,1),(239,1),(242,1),(278,1),(279,1),(280,1),(304,1)}
       262:{2,4}:{(237,1),(243,1),(281,1)}
       263:{3,5}:{(238,1),(279,1),(281,1)}
       264:{2,4,5}:{(239,1),(245,1),(280,1),(282,1),(283,1),(286,1),(306,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(242,1),(252,1),(278,1),(284,1)}
       266:{2,5,6}:{(242,1),(245,1),(253,1),(280,1),(284,1),(285,1)}
       267:{1,3,4}:{(243,1),(244,1),(248,1),(281,1),(286,1)}
       268:{2,3,5}:{(244,1),(245,1),(246,1),(286,1),(287,1),(290,1),(306,1),(308,1),(314,1)}
       269:{1,5}:{(245,1),(247,1)}
       270:{1,3,6}:{(246,1),(247,1),(255,1),(287,1),(288,1)}
       271:{2,3,4}:{(248,1),(249,1),(286,1),(289,1),(314,1)}
       272:{1,3,5}:{(249,1),(250,1),(251,1),(289,1),(290,1)}
       273:{2,6}:{(251,1),(256,1),(290,1)}
       274:{2,6,7}:{(252,1),(253,1),(284,1),(291,1)}
       275:{1,6}:{(253,1),(254,1)}
       276:{1,2,7}:{(255,1),(256,1),(288,1),(313,1)}
       277:{2,4,7}:{(257,1),(258,1),(260,1),(292,1)}
       278:{1,3,4,7}:{(258,1),(259,1),(261,1),(265,1),(292,1),(293,1),(309,1)}
       279:{3,6}:{(260,1),(263,1),(292,1)}
       280:{2,4,6}:{(261,1),(264,1),(266,1),(293,1),(294,1),(295,1),(310,1)}
       281:{3,4}:{(262,1),(263,1)}
       282:{2,3,5}:{(263,1),(264,1),(294,1),(296,1),(297,1)}
       283:{1,4,5}:{(264,1),(269,1),(295,1),(297,1),(299,1)}
       284:{2,5,7}:{(265,1),(266,1),(274,1),(293,1),(298,1)}
       285:{1,5,6}:{(266,1),(269,1),(275,1),(295,1),(298,1)}
       286:{2,4}:{(267,1),(268,1),(299,1)}
       287:{1,3,5}:{(268,1),(269,1),(270,1),(299,1),(300,1),(312,1)}
       288:{1,2,6}:{(270,1),(273,1),(276,1),(300,1),(310,1)}
       289:{1,3,4}:{(271,1),(272,1),(299,1),(301,1),(312,1)}
       290:{2,5}:{(272,1),(273,1),(301,1)}
       291:{1,6,7}:{(274,1),(275,1),(298,1)}
       292:{3,7}:{(277,1),(279,1)}
       293:{2,4,7}:{(278,1),(280,1),(284,1),(302,1),(303,1),(313,1)}
       294:{2,3,6}:{(279,1),(280,1),(282,1),(302,1),(304,1)}
       295:{1,4,6}:{(280,1),(283,1),(285,1),(303,1),(304,1)}
       296:{2,3,4}:{(281,1),(282,1),(286,1),(305,1),(308,1)}
       297:{1,3,5}:{(282,1),(283,1),(304,1),(305,1),(306,1)}
       298:{1,5,7}:{(284,1),(285,1),(291,1),(303,1)}
       299:{1,4}:{(286,1),(287,1)}
       300:{1,2,5}:{(287,1),(288,1),(290,1),(306,1),(307,1)}
       301:{2,4}:{(289,1),(290,1),(308,1)}
       302:{2,3,7}:{(292,1),(293,1),(294,1),(309,1)}
       303:{1,4,7}:{(293,1),(295,1),(298,1),(309,1)}
       304:{1,3,6}:{(294,1),(295,1),(297,1),(309,1),(310,1)}
       305:{1,3,4}:{(296,1),(297,1),(299,1),(311,1),(312,1)}
       306:{2,5}:{(297,1),(310,1),(311,1)}
       307:{1,2,4}:{(299,1),(300,1),(301,1),(311,1),(312,1)}
       308:{2,3}:{(301,1),(312,1)}
       309:{1,3,7}:{(302,1),(303,1),(304,1),(313,1)}
       310:{2,6}:{(304,1),(306,1),(313,1)}
       311:{2,4}:{(305,1),(306,1),(314,1)}
       312:{1,3}:{(307,1),(308,1),(314,1)}
       313:{2,7}:{(309,1),(310,1)}
       314:{2,3}:{(311,1),(312,1)}

2224 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(110,1),(111,1),(131,1),(176,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(80,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(53,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(52,1),(113,1),(125,1),(226,1),(232,1),(233,1),(235,1),(240,1),(271,1),(274,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(176,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(116,1),(119,1),(121,1),(166,1),(181,1),(187,1),(191,1),(196,1),(224,1),(235,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1),(73,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(31,1),(93,1),(135,1),(206,1)}
        19:{2,4,5}:{(9,1),(30,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(35,1),(36,1),(78,1),(82,1),(154,1),(202,1),(206,1),(211,1),(214,1),(257,1),(264,1),(290,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(146,1),(158,1),(210,1),(256,1),(286,1),(289,1)}
        22:{2,5,6}:{(11,1),(30,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(31,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(73,1),(136,1),(152,1),(200,1),(259,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(74,1),(93,1),(139,1),(143,1),(154,1),(159,1),(164,1),(197,1),(202,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{2,4,6}:{(17,1),(19,1),(22,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(17,1),(18,1),(23,1),(50,1),(104,1),(122,1)}
        32:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(51,1),(52,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(233,1),(245,1)}
        33:{1,2,4,5}:{(19,1),(48,1),(53,1),(112,1),(121,1),(166,1)}
        34:{2,3,5}:{(19,1),(49,1),(53,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(109,1),(175,1),(183,1),(277,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(115,1),(181,1),(184,1),(187,1),(302,1)}
        37:{2,3,5,6}:{(21,1),(52,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(49,1),(60,1),(62,1),(63,1),(102,1),(106,1),(166,1),(173,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(50,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(52,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(181,1),(184,1),(236,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(104,1),(176,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(33,1),(38,1),(73,1),(74,1),(89,1),(134,1)}
        49:{2,3,6}:{(30,1),(34,1),(73,1),(76,1)}
        50:{2,4,7}:{(30,1),(31,1),(40,1),(76,1)}
        51:{1,3,4,6,7}:{(31,1),(32,1),(36,1),(41,1),(77,1),(78,1),(96,1),(138,1),(155,1),(161,1),(202,1),(206,1),(223,1),(257,1),(268,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(78,1),(79,1),(159,1),(222,1),(267,1)}
        53:{1,3,5}:{(33,1),(34,1),(73,1),(80,1),(81,1)}
        54:{1,2,4,5,7}:{(33,1),(35,1),(74,1),(82,1),(83,1),(139,1),(145,1),(154,1),(197,1),(202,1),(209,1),(211,1),(250,1),(290,1),(291,1),(295,1),(309,1)}
        55:{2,3,4}:{(34,1),(81,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(76,1),(82,1),(84,1),(85,1),(150,1),(292,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(78,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(79,1),(87,1),(88,1),(210,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(73,1),(89,1),(90,1),(136,1),(200,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(74,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(76,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(78,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(79,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(136,1),(211,1),(214,1),(259,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(202,1),(206,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(200,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(139,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{1,3,6}:{(48,1),(49,1),(53,1),(102,1),(104,1)}
        74:{1,2,4,7}:{(48,1),(50,1),(61,1),(104,1),(122,1),(167,1)}
        75:{2,3,4,6}:{(49,1),(55,1),(62,1),(103,1),(106,1),(107,1),(173,1),(236,1)}
        76:{2,3,7}:{(49,1),(50,1),(104,1)}
        77:{2,4,6,7}:{(50,1),(51,1),(57,1),(64,1),(108,1),(109,1),(175,1),(248,1),(277,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(58,1),(109,1),(110,1),(176,1),(188,1),(285,1)}
        79:{2,4,5,7}:{(52,1),(59,1),(66,1),(110,1),(111,1),(226,1)}
        80:{2,3,5}:{(53,1),(102,1),(112,1),(166,1)}
        81:{1,3,4}:{(53,1),(55,1),(112,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(56,1),(104,1),(113,1),(114,1),(115,1),(180,1),(271,1),(303,1),(306,1)}
        83:{1,2,4,6}:{(54,1),(57,1),(115,1),(116,1),(178,1),(181,1),(187,1),(224,1),(270,1),(302,1),(313,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(114,1),(117,1),(175,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(115,1)}
        86:{2,5,6}:{(57,1),(58,1),(109,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(110,1),(119,1),(181,1)}
        88:{3,4,5,6}:{(59,1),(111,1),(236,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(104,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(106,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(173,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(109,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(110,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(111,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(169,1),(228,1),(232,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(171,1),(227,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(80,1),(134,1),(135,1)}
       103:{1,3,4,6}:{(73,1),(75,1),(81,1),(89,1),(134,1),(136,1),(137,1),(200,1)}
       104:{1,3,7}:{(73,1),(74,1),(76,1),(135,1)}
       105:{1,2,4,6,7}:{(74,1),(77,1),(83,1),(91,1),(138,1),(139,1),(155,1),(198,1),(202,1),(268,1),(269,1),(291,1)}
       106:{2,3,5}:{(75,1),(92,1),(136,1),(259,1)}
       107:{2,3,4,7}:{(75,1),(76,1),(93,1),(137,1),(140,1),(251,1)}
       108:{2,3,6,7}:{(76,1),(77,1),(85,1),(138,1),(142,1),(161,1),(292,1)}
       109:{2,5,7}:{(77,1),(78,1),(86,1)}
       110:{1,4,5,7}:{(78,1),(79,1),(87,1),(96,1),(143,1),(202,1)}
       111:{3,4,5,7}:{(79,1),(88,1),(97,1),(222,1),(251,1)}
       112:{2,4}:{(80,1),(81,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(135,1),(145,1),(146,1),(197,1),(209,1),(309,1),(310,1),(311,1)}
       114:{1,3,4,7}:{(81,1),(82,1),(84,1),(145,1),(147,1),(202,1),(251,1),(312,1)}
       115:{1,3,6}:{(82,1),(83,1),(85,1),(146,1),(286,1)}
       116:{1,2,5,6}:{(83,1),(86,1),(139,1),(148,1),(209,1),(217,1),(249,1),(298,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(147,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(142,1),(148,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(143,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(144,1),(152,1),(153,1),(212,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(136,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(200,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(139,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(140,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(142,1),(156,1),(159,1),(160,1),(161,1),(199,1),(204,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(143,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(144,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(200,1),(252,1),(256,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(202,1),(252,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(112,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(104,1),(167,1)}
       136:{1,3,5}:{(103,1),(106,1),(121,1),(166,1)}
       137:{1,3,4,7}:{(103,1),(104,1),(107,1),(122,1),(167,1),(169,1)}
       138:{1,3,6,7}:{(104,1),(105,1),(108,1),(115,1),(168,1),(171,1),(303,1)}
       139:{1,2,5,7}:{(105,1),(109,1),(116,1),(171,1),(188,1),(225,1),(285,1)}
       140:{2,3,5,7}:{(106,1),(107,1),(125,1),(169,1),(173,1),(271,1)}
       141:{2,3,4,6,7}:{(107,1),(108,1),(117,1),(126,1),(170,1),(173,1),(174,1),(175,1),(193,1),(231,1),(245,1),(272,1),(299,1)}
       142:{2,3,5,7}:{(108,1),(109,1),(118,1),(171,1),(175,1),(176,1)}
       143:{2,4,5,7}:{(109,1),(110,1),(119,1),(128,1),(175,1),(176,1)}
       144:{1,3,4,5,7}:{(110,1),(111,1),(120,1),(129,1),(176,1),(177,1),(229,1),(234,1),(244,1)}
       145:{2,4,7}:{(112,1),(113,1),(114,1),(178,1),(314,1)}
       146:{2,3,6}:{(113,1),(115,1),(178,1),(224,1),(313,1)}
       147:{1,3,4,6}:{(114,1),(115,1),(117,1),(178,1),(180,1),(181,1),(236,1)}
       148:{1,3,5,6}:{(115,1),(116,1),(118,1),(171,1),(179,1),(180,1),(181,1)}
       149:{1,2,4,5,6}:{(116,1),(119,1),(172,1),(181,1),(182,1),(186,1),(235,1),(238,1),(242,1),(243,1),(270,1),(280,1),(281,1),(284,1),(302,1),(304,1),(313,1)}
       150:{2,3,5}:{(117,1),(180,1),(183,1)}
       151:{2,4,6}:{(118,1),(175,1),(181,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(176,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(177,1),(185,1),(186,1),(238,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(169,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(171,1),(188,1),(189,1),(190,1),(227,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(172,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(302,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(173,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(175,1),(189,1),(192,1),(193,1),(226,1),(231,1),(270,1)}
       161:{3,6,7}:{(128,1),(176,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(177,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(136,1)}
       167:{2,4,7}:{(134,1),(135,1),(137,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(138,1),(146,1),(198,1),(199,1),(286,1),(310,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(140,1),(154,1),(197,1),(200,1)}
       170:{1,3,4,6,7}:{(137,1),(138,1),(141,1),(147,1),(155,1),(198,1),(200,1),(201,1),(202,1),(251,1),(252,1),(268,1),(286,1),(288,1),(308,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(199,1),(202,1)}
       172:{1,2,4,5,7}:{(139,1),(143,1),(149,1),(157,1),(202,1),(203,1),(208,1),(218,1),(250,1),(254,1),(258,1),(267,1),(290,1),(291,1),(309,1)}
       173:{2,3,6}:{(140,1),(158,1),(200,1),(286,1)}
       174:{2,3,5,7}:{(141,1),(150,1),(159,1),(201,1),(204,1),(205,1),(222,1),(267,1)}
       175:{2,4,7}:{(142,1),(151,1),(202,1),(206,1)}
       176:{3,5,7}:{(143,1),(152,1),(161,1),(206,1)}
       177:{2,4,5,7}:{(144,1),(153,1),(162,1),(207,1),(208,1),(254,1),(258,1),(267,1)}
       178:{2,4,6}:{(145,1),(146,1),(147,1),(209,1)}
       179:{2,3,5,6}:{(146,1),(148,1),(199,1),(209,1),(210,1),(249,1),(259,1),(286,1)}
       180:{1,3,5}:{(147,1),(150,1),(209,1),(211,1),(259,1)}
       181:{1,4,6}:{(148,1),(151,1),(202,1),(210,1),(211,1)}
       182:{1,3,5,6}:{(149,1),(152,1),(203,1),(212,1),(213,1),(259,1),(286,1),(293,1),(296,1),(308,1)}
       183:{2,4,5}:{(150,1),(151,1),(211,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(206,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(207,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(208,1),(216,1),(262,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(200,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(202,1),(218,1),(252,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(203,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(206,1),(222,1),(251,1),(256,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(207,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(208,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(252,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(169,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(170,1),(178,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(171,1),(179,1),(225,1),(226,1),(271,1)}
       200:{1,3,6}:{(169,1),(173,1),(187,1),(224,1)}
       201:{1,3,5,7}:{(170,1),(174,1),(180,1),(188,1),(225,1),(227,1),(228,1),(271,1),(285,1)}
       202:{1,4,7}:{(171,1),(175,1),(181,1),(226,1)}
       203:{1,3,5,7}:{(172,1),(176,1),(182,1),(190,1),(229,1),(230,1),(271,1),(303,1)}
       204:{2,3,5,6}:{(173,1),(174,1),(191,1),(227,1),(231,1),(247,1),(284,1),(299,1)}
       205:{2,4,5,7}:{(174,1),(175,1),(183,1),(228,1),(231,1),(232,1)}
       206:{3,4,7}:{(175,1),(176,1),(184,1)}
       207:{2,3,5,7}:{(176,1),(177,1),(185,1),(194,1),(233,1),(234,1)}
       208:{1,4,5,7}:{(177,1),(186,1),(195,1),(234,1),(275,1),(285,1)}
       209:{2,5}:{(178,1),(180,1)}
       210:{2,4,6}:{(179,1),(181,1),(226,1),(235,1),(236,1)}
       211:{1,4,5}:{(180,1),(181,1),(183,1),(235,1)}
       212:{1,3,4,6}:{(181,1),(182,1),(184,1),(229,1),(236,1),(237,1),(238,1)}
       213:{2,3,5,6}:{(182,1),(230,1),(238,1),(239,1),(242,1),(278,1),(283,1),(284,1),(299,1),(304,1),(305,1),(313,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(233,1),(238,1),(240,1),(241,1),(305,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(234,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(229,1),(244,1),(245,1),(273,1)}
       220:{2,3,6,7}:{(190,1),(230,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(231,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(234,1),(248,1)}
       224:{2,6}:{(197,1),(200,1)}
       225:{2,5,7}:{(198,1),(201,1),(209,1),(249,1)}
       226:{2,4,7}:{(199,1),(202,1),(210,1),(251,1)}
       227:{1,3,5,6}:{(200,1),(201,1),(204,1),(217,1),(249,1),(252,1),(286,1),(298,1),(308,1)}
       228:{1,4,5,7}:{(201,1),(202,1),(205,1),(211,1),(250,1),(252,1)}
       229:{1,3,4,7}:{(202,1),(203,1),(206,1),(212,1),(251,1),(254,1)}
       230:{2,3,5,7}:{(203,1),(213,1),(220,1),(254,1),(255,1),(258,1),(267,1),(292,1),(309,1),(310,1)}
       231:{2,4,6}:{(204,1),(205,1),(252,1),(256,1)}
       232:{3,4,5,7}:{(205,1),(206,1),(214,1),(222,1),(256,1)}
       233:{2,3,4,7}:{(206,1),(207,1),(215,1),(254,1),(257,1),(310,1)}
       234:{1,3,5,7}:{(207,1),(208,1),(216,1),(223,1),(257,1),(258,1)}
       235:{2,4,5}:{(209,1),(210,1),(211,1),(259,1)}
       236:{3,4,6}:{(210,1),(251,1),(259,1),(286,1)}
       237:{1,3,4,5}:{(211,1),(212,1),(214,1),(259,1),(261,1),(293,1)}
       238:{2,4,6}:{(212,1),(213,1),(254,1),(261,1),(262,1)}
       239:{1,3,5,6}:{(213,1),(255,1),(262,1),(263,1),(293,1),(296,1),(298,1),(308,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(261,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(257,1),(262,1),(264,1),(265,1),(296,1)}
       242:{2,5,6}:{(216,1),(258,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(252,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(254,1),(267,1),(268,1),(289,1)}
       246:{1,3,6,7}:{(220,1),(255,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(256,1),(286,1)}
       248:{2,6,7}:{(223,1),(258,1)}
       249:{2,5,6}:{(224,1),(225,1),(227,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(228,1),(235,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(236,1),(271,1)}
       252:{1,4,6}:{(227,1),(228,1),(231,1),(270,1)}
       253:{1,3,4,5,7}:{(228,1),(229,1),(232,1),(237,1),(244,1),(271,1),(273,1),(274,1),(300,1)}
       254:{2,4,7}:{(229,1),(230,1),(238,1),(275,1)}
       255:{1,3,5,7}:{(230,1),(239,1),(246,1),(275,1),(276,1),(285,1),(303,1)}
       256:{3,4,6}:{(231,1),(232,1),(247,1)}
       257:{1,3,4,7}:{(233,1),(234,1),(241,1),(275,1),(277,1),(303,1)}
       258:{2,5,7}:{(234,1),(242,1),(248,1),(277,1)}
       259:{3,5}:{(235,1),(236,1)}
       260:{2,3,4,6}:{(236,1),(238,1),(272,1),(278,1),(279,1),(283,1),(299,1),(307,1)}
       261:{2,4,5}:{(237,1),(238,1),(278,1),(280,1),(304,1)}
       262:{1,4,6}:{(238,1),(239,1),(275,1),(280,1)}
       263:{1,2,5,6}:{(239,1),(242,1),(276,1),(281,1),(304,1),(313,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(280,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(277,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(273,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(275,1),(285,1),(302,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(276,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(252,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(259,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(254,1),(260,1),(287,1),(288,1),(292,1)}
       273:{1,3,4,6}:{(252,1),(253,1),(256,1),(266,1),(286,1),(289,1),(308,1)}
       274:{2,4,5,7}:{(253,1),(254,1),(261,1),(267,1),(287,1),(289,1),(290,1),(309,1)}
       275:{1,4,7}:{(254,1),(255,1),(262,1)}
       276:{1,2,5,7}:{(255,1),(258,1),(263,1),(269,1),(291,1),(309,1)}
       277:{2,4,7}:{(257,1),(258,1),(265,1),(292,1)}
       278:{2,3,5}:{(259,1),(260,1),(261,1),(293,1)}
       279:{1,3,4,6}:{(260,1),(262,1),(288,1),(293,1),(294,1),(296,1),(308,1),(312,1)}
       280:{1,4,5}:{(261,1),(262,1),(293,1)}
       281:{1,2,4,6}:{(262,1),(263,1),(265,1),(291,1),(294,1),(295,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(292,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(289,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(274,1),(278,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(275,1),(279,1),(300,1),(301,1),(303,1)}
       289:{2,4,6}:{(273,1),(274,1),(284,1),(299,1),(302,1),(313,1)}
       290:{1,4,5,7}:{(274,1),(275,1),(280,1),(285,1),(300,1),(302,1)}
       291:{1,2,4,7}:{(275,1),(276,1),(277,1),(281,1),(301,1),(303,1)}
       292:{2,3,7}:{(277,1),(283,1),(303,1)}
       293:{1,3,5}:{(278,1),(279,1),(280,1),(304,1)}
       294:{2,4,6}:{(279,1),(301,1),(304,1),(305,1),(313,1),(314,1)}
       295:{1,2,4,5}:{(280,1),(281,1),(282,1),(304,1),(306,1),(314,1)}
       296:{1,3,6}:{(281,1),(283,1),(303,1),(305,1),(306,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(302,1)}
       299:{2,3,6}:{(286,1),(287,1),(289,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(290,1),(293,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(294,1),(309,1),(310,1)}
       302:{1,4,6}:{(289,1),(290,1),(298,1),(308,1)}
       303:{1,3,7}:{(291,1),(292,1),(296,1),(310,1)}
       304:{2,5}:{(293,1),(294,1)}
       305:{2,3,6}:{(294,1),(296,1),(310,1),(311,1)}
       306:{1,3,5}:{(295,1),(296,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(302,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(304,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2225 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(34,1),(39,1),(40,1),(96,1),(100,1),(178,1),(192,1),(276,1),(281,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(55,1),(143,1),(315,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(20,1),(25,1),(61,1),(139,1),(227,1),(311,1)}
         3:{1,2,4,5}:{(1,1),(9,1),(32,1),(281,1),(349,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(39,1),(178,1),(183,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(90,1),(346,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(39,1),(98,1),(188,1),(192,1),(271,1),(411,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(31,1),(48,1),(95,1),(206,1),(207,1),(293,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(21,1),(28,1),(55,1),(78,1),(127,1),(130,1),(137,1),(138,1),(212,1),(233,1),(252,1),(307,1),(315,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,2,4,5,7}:{(3,1),(5,1),(20,1),(21,1),(25,1),(58,1),(72,1)}
        11:{2,3,4,6}:{(4,1),(19,1),(22,1),(23,1),(55,1),(66,1),(152,1),(156,1),(215,1),(219,1)}
        12:{1,3,4,7}:{(4,1),(5,1),(20,1),(23,1),(227,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(132,1),(239,1),(386,1),(387,1)}
        14:{2,4,5,6}:{(7,1),(27,1),(28,1),(29,1),(55,1),(78,1),(137,1)}
        15:{1,3,4,5,7}:{(7,1),(29,1),(30,1),(56,1),(79,1),(133,1),(248,1),(249,1),(327,1)}
        16:{1,3,4,5}:{(9,1),(31,1),(32,1),(349,1),(363,1),(399,1)}
        17:{1,3,5,6}:{(8,1),(9,1),(31,1),(34,1),(35,1),(39,1),(178,1),(293,1),(343,1)}
        18:{1,2,4,5,7}:{(8,1),(35,1),(36,1),(50,1),(90,1),(116,1),(175,1),(179,1),(181,1),(182,1),(257,1),(272,1),(289,1),(339,1),(346,1)}
        19:{2,3,5}:{(9,1),(11,1),(32,1),(37,1)}
        20:{1,3,5,7}:{(9,1),(10,1),(12,1),(38,1),(39,1)}
        21:{1,2,4,6}:{(10,1),(39,1),(40,1),(94,1),(104,1)}
        22:{1,3,4,6}:{(11,1),(37,1),(41,1),(42,1),(89,1),(102,1),(178,1),(183,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(38,1),(42,1),(90,1),(199,1),(260,1)}
        24:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(43,1),(44,1),(104,1),(271,1),(275,1),(346,1),(354,1),(357,1),(358,1)}
        25:{1,2,5,7}:{(13,1),(40,1),(44,1),(181,1),(281,1)}
        26:{2,3,4,5}:{(32,1),(45,1),(46,1),(171,1),(363,1)}
        27:{2,3,5,6}:{(14,1),(45,1),(48,1),(49,1),(293,1)}
        28:{1,4,5,6}:{(14,1),(48,1),(50,1),(89,1),(186,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(49,1),(50,1),(51,1),(90,1),(116,1),(181,1)}
        30:{1,3,4,6,7}:{(15,1),(51,1),(52,1),(117,1),(209,1),(210,1),(295,1)}
        31:{1,3,4,6}:{(16,1),(17,1),(55,1),(56,1),(315,1),(330,1),(373,1)}
        32:{2,4,5}:{(16,1),(19,1),(55,1),(57,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(56,1),(58,1),(59,1),(72,1),(133,1),(151,1)}
        34:{2,3,5,6}:{(17,1),(19,1),(55,1),(60,1),(61,1),(66,1),(78,1),(137,1),(152,1),(212,1),(215,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(56,1),(61,1),(62,1),(227,1),(327,1),(370,1)}
        36:{1,2,4,6,7}:{(18,1),(21,1),(62,1),(63,1),(81,1),(132,1),(142,1),(161,1),(224,1),(254,1),(298,1),(367,1)}
        37:{1,3,5}:{(19,1),(22,1),(57,1),(64,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(23,1),(58,1),(65,1),(66,1)}
        39:{1,3,6}:{(20,1),(21,1),(66,1)}
        40:{1,2,5,6}:{(21,1),(25,1),(67,1),(137,1),(386,1)}
        41:{1,2,4,6}:{(22,1),(64,1),(68,1),(69,1),(143,1),(145,1)}
        42:{1,3,4,7}:{(22,1),(23,1),(65,1),(69,1),(131,1),(227,1)}
        43:{2,3,4,6,7}:{(23,1),(24,1),(66,1),(70,1),(71,1),(132,1),(147,1),(238,1),(246,1),(250,1),(301,1),(305,1),(319,1),(322,1),(324,1),(326,1),(369,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(67,1),(71,1),(72,1),(314,1),(379,1)}
        45:{2,3,4,6}:{(26,1),(27,1),(55,1),(73,1),(74,1),(215,1),(330,1)}
        46:{1,3,4,5}:{(26,1),(57,1),(73,1),(75,1),(134,1)}
        47:{2,3,4,5,7}:{(26,1),(58,1),(74,1),(76,1),(77,1),(151,1),(155,1),(220,1),(245,1),(369,1),(372,1),(388,1),(390,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(73,1),(78,1),(79,1)}
        49:{2,3,5,7}:{(27,1),(29,1),(74,1),(79,1),(80,1),(327,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(79,1),(81,1),(131,1),(229,1)}
        51:{2,4,6,7}:{(29,1),(30,1),(80,1),(81,1),(82,1),(161,1)}
        52:{1,3,5,6,7}:{(30,1),(82,1),(83,1),(133,1),(165,1)}
        53:{2,3,4,5}:{(32,1),(84,1),(85,1),(112,1),(399,1)}
        54:{1,3,4,5,6}:{(31,1),(87,1),(88,1),(95,1),(166,1),(267,1),(268,1),(343,1)}
        55:{2,4,6}:{(31,1),(32,1),(34,1),(89,1),(90,1)}
        56:{1,3,4,7}:{(31,1),(35,1),(90,1),(346,1),(360,1),(396,1)}
        57:{1,4,5}:{(32,1),(37,1),(89,1)}
        58:{2,4,5,7}:{(32,1),(33,1),(38,1),(90,1),(93,1),(94,1),(181,1)}
        59:{1,3,4,6}:{(33,1),(39,1),(94,1),(95,1),(104,1),(195,1)}
        60:{1,3,5,6}:{(34,1),(37,1),(89,1),(96,1),(97,1),(102,1),(178,1),(186,1)}
        61:{2,3,5,7}:{(34,1),(35,1),(90,1),(97,1),(98,1),(116,1),(181,1),(199,1),(257,1),(260,1)}
        62:{1,3,6,7}:{(35,1),(36,1),(39,1),(98,1),(295,1),(394,1)}
        63:{1,2,5,6,7}:{(36,1),(40,1),(99,1),(119,1),(181,1),(208,1),(269,1),(272,1),(335,1),(408,1)}
        64:{1,2,5}:{(37,1),(41,1)}
        65:{1,3,5,7}:{(37,1),(38,1),(42,1),(93,1),(101,1),(102,1)}
        66:{2,3,6}:{(38,1),(39,1),(94,1),(102,1)}
        67:{1,3,5,6}:{(39,1),(40,1),(44,1),(103,1),(104,1),(352,1),(357,1)}
        68:{1,2,3,6}:{(41,1),(100,1),(105,1),(178,1)}
        69:{1,2,4,7}:{(41,1),(42,1),(101,1),(105,1)}
        70:{1,3,4,6,7}:{(42,1),(43,1),(102,1),(106,1),(107,1),(180,1),(194,1),(271,1),(275,1),(283,1),(285,1),(346,1)}
        71:{2,3,5,7}:{(43,1),(44,1),(103,1),(107,1),(108,1),(181,1),(274,1),(291,1),(341,1),(348,1)}
        72:{1,4,5,7}:{(44,1),(104,1),(108,1),(346,1),(349,1)}
        73:{1,3,4,6}:{(45,1),(46,1),(48,1),(89,1),(109,1),(110,1),(178,1)}
        74:{2,3,4,7}:{(45,1),(49,1),(90,1),(110,1),(260,1),(360,1)}
        75:{2,4,5}:{(46,1),(109,1),(112,1)}
        76:{1,3,4,5,7}:{(46,1),(47,1),(93,1),(110,1),(113,1),(114,1),(184,1),(201,1),(287,1),(346,1),(349,1),(360,1),(363,1),(412,1),(414,1)}
        77:{2,3,4,6}:{(47,1),(94,1),(114,1),(115,1),(195,1),(265,1),(284,1),(342,1)}
        78:{2,5,6}:{(48,1),(109,1),(116,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(50,1),(110,1),(116,1),(117,1)}
        80:{2,3,6,7}:{(49,1),(51,1),(117,1),(295,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(117,1),(119,1)}
        82:{2,5,6,7}:{(51,1),(52,1),(119,1),(181,1)}
        83:{1,4,5,6,7}:{(52,1),(120,1),(182,1),(209,1),(297,1)}
        84:{2,3,4,6}:{(53,1),(55,1),(121,1),(122,1),(123,1),(152,1),(373,1)}
        85:{1,3,4,5}:{(53,1),(57,1),(122,1),(124,1),(134,1)}
        86:{2,3,4,5,7}:{(53,1),(58,1),(123,1),(125,1),(126,1),(151,1),(157,1),(218,1),(245,1),(326,1),(329,1),(418,1),(420,1)}
        87:{2,4,5,6}:{(54,1),(55,1),(121,1),(127,1),(128,1),(137,1),(212,1)}
        88:{1,3,4,5,7}:{(54,1),(56,1),(128,1),(129,1),(133,1),(213,1),(303,1),(304,1),(370,1)}
        89:{1,4,6}:{(55,1),(57,1),(60,1),(131,1)}
        90:{2,4,7}:{(55,1),(56,1),(61,1),(131,1)}
        91:{1,3,4,6,7}:{(56,1),(59,1),(62,1),(132,1),(133,1),(142,1),(238,1)}
        92:{1,2,4,5}:{(57,1),(64,1),(75,1),(124,1),(130,1),(134,1),(143,1)}
        93:{1,4,5,7}:{(57,1),(58,1),(65,1),(131,1),(136,1),(229,1)}
        94:{2,4,6}:{(58,1),(59,1),(66,1),(136,1),(137,1)}
        95:{1,3,5,6}:{(59,1),(133,1),(137,1),(138,1),(235,1)}
        96:{1,2,5,6}:{(60,1),(64,1),(78,1),(130,1),(139,1),(145,1),(212,1)}
        97:{1,3,5,7}:{(60,1),(61,1),(131,1),(139,1),(140,1),(227,1),(229,1)}
        98:{2,3,6,7}:{(61,1),(62,1),(66,1),(132,1),(140,1),(161,1),(298,1)}
        99:{1,3,5,6,7}:{(62,1),(63,1),(67,1),(133,1),(141,1),(142,1),(311,1),(379,1),(383,1)}
       100:{1,2,3,5}:{(64,1),(68,1),(134,1),(143,1)}
       101:{1,2,5,7}:{(64,1),(65,1),(69,1),(145,1)}
       102:{1,3,6}:{(65,1),(66,1),(136,1),(145,1)}
       103:{2,3,5,6}:{(66,1),(67,1),(71,1),(137,1),(146,1),(147,1),(235,1),(317,1),(322,1)}
       104:{1,4,6}:{(67,1),(72,1),(147,1)}
       105:{1,2,3,7}:{(68,1),(69,1),(227,1)}
       106:{1,2,4,6,7}:{(69,1),(70,1),(145,1),(148,1),(149,1),(239,1),(241,1),(243,1),(319,1)}
       107:{1,3,5,7}:{(70,1),(71,1),(146,1),(149,1),(150,1),(229,1),(314,1)}
       108:{2,4,5,7}:{(71,1),(72,1),(147,1),(150,1),(151,1),(326,1),(329,1),(369,1),(372,1)}
       109:{2,4,6}:{(73,1),(75,1),(78,1),(152,1),(153,1)}
       110:{1,3,4,7}:{(73,1),(74,1),(79,1),(131,1),(153,1),(227,1)}
       111:{2,3,4,6,7}:{(74,1),(77,1),(80,1),(132,1),(154,1),(155,1),(163,1),(238,1),(301,1),(319,1),(333,1),(369,1),(388,1)}
       112:{2,3,5}:{(75,1),(134,1),(152,1),(156,1)}
       113:{2,4,5,7}:{(75,1),(76,1),(153,1),(157,1),(158,1),(247,1),(326,1),(329,1),(429,1),(430,1)}
       114:{1,3,4,6}:{(76,1),(77,1),(136,1),(158,1),(159,1),(232,1),(315,1),(323,1),(330,1)}
       115:{2,3,5,6}:{(77,1),(137,1),(155,1),(159,1),(160,1),(235,1),(317,1)}
       116:{2,5,7}:{(78,1),(79,1),(153,1),(161,1)}
       117:{1,3,6,7}:{(79,1),(80,1),(81,1),(161,1)}
       118:{2,3,5,6,7}:{(80,1),(82,1),(155,1),(162,1),(163,1),(165,1),(256,1),(333,1)}
       119:{1,5,6,7}:{(81,1),(82,1),(229,1)}
       120:{2,4,5,6,7}:{(82,1),(83,1),(163,1),(164,1),(165,1),(230,1),(254,1),(256,1)}
       121:{2,3,5,6}:{(84,1),(87,1),(166,1),(167,1),(343,1)}
       122:{1,3,4,6}:{(84,1),(85,1),(89,1),(166,1),(168,1),(169,1),(178,1)}
       123:{2,3,4,7}:{(84,1),(90,1),(167,1),(169,1),(199,1),(396,1)}
       124:{2,4,5}:{(85,1),(168,1),(171,1)}
       125:{1,3,4,5,7}:{(85,1),(86,1),(93,1),(169,1),(172,1),(173,1),(184,1),(262,1),(287,1),(346,1),(349,1),(396,1),(399,1),(433,1),(435,1)}
       126:{2,3,4,6}:{(86,1),(94,1),(173,1),(174,1),(195,1),(204,1),(284,1),(292,1)}
       127:{1,4,5,6}:{(87,1),(89,1),(166,1),(175,1),(186,1)}
       128:{2,4,5,7}:{(87,1),(88,1),(90,1),(167,1),(175,1),(176,1),(181,1),(257,1)}
       129:{1,3,4,6,7}:{(88,1),(176,1),(177,1),(258,1),(336,1),(337,1),(394,1)}
       130:{1,2,4,6}:{(89,1),(92,1),(96,1),(109,1),(168,1),(178,1),(179,1)}
       131:{1,4,7}:{(89,1),(90,1),(97,1)}
       132:{2,4,6,7}:{(90,1),(91,1),(94,1),(98,1),(180,1),(181,1)}
       133:{1,3,5,7}:{(91,1),(95,1),(181,1),(182,1),(274,1)}
       134:{1,3,5}:{(92,1),(112,1),(171,1),(178,1),(183,1)}
       135:{1,2,4,5,7}:{(92,1),(93,1),(101,1),(113,1),(172,1),(179,1),(184,1),(185,1),(191,1),(272,1),(281,1),(287,1),(346,1),(349,1),(359,1),(437,1),(438,1)}
       136:{1,4,6}:{(93,1),(94,1),(102,1),(186,1)}
       137:{2,5,6}:{(94,1),(95,1),(181,1),(186,1)}
       138:{1,4,5,6}:{(95,1),(104,1),(182,1),(187,1),(352,1)}
       139:{1,2,5,7}:{(96,1),(97,1),(116,1),(179,1),(188,1),(257,1)}
       140:{1,3,6,7}:{(97,1),(98,1),(102,1),(180,1),(188,1)}
       141:{2,3,5,6,7}:{(98,1),(99,1),(103,1),(181,1),(189,1),(190,1),(208,1),(274,1),(288,1),(295,1),(335,1),(338,1),(348,1),(353,1),(394,1)}
       142:{1,4,6,7}:{(99,1),(104,1),(182,1),(190,1),(346,1)}
       143:{1,2,4}:{(100,1),(183,1)}
       144:{1,2,3,5,7}:{(100,1),(101,1),(105,1),(184,1),(191,1),(192,1),(281,1),(359,1),(411,1),(440,1)}
       145:{1,2,6}:{(101,1),(102,1)}
       146:{1,3,5,6}:{(102,1),(103,1),(107,1),(186,1),(193,1),(194,1),(283,1)}
       147:{2,4,6}:{(103,1),(104,1),(108,1),(194,1),(195,1)}
       148:{1,2,3,6,7}:{(105,1),(106,1),(192,1),(196,1),(271,1),(283,1),(353,1),(408,1)}
       149:{1,2,5,7}:{(106,1),(107,1),(193,1),(281,1),(348,1)}
       150:{1,4,5,7}:{(107,1),(108,1),(194,1),(346,1),(349,1)}
       151:{3,4,5,7}:{(108,1),(195,1),(274,1),(360,1),(363,1),(396,1),(399,1)}
       152:{2,3,6}:{(109,1),(112,1),(178,1),(199,1)}
       153:{2,4,7}:{(109,1),(110,1),(116,1),(199,1)}
       154:{1,3,4,6,7}:{(110,1),(111,1),(114,1),(117,1),(180,1),(200,1),(201,1),(209,1),(271,1),(295,1),(346,1),(354,1),(360,1),(366,1),(412,1)}
       155:{2,3,5,7}:{(111,1),(115,1),(181,1),(201,1),(202,1),(274,1),(348,1)}
       156:{2,3,4}:{(112,1),(183,1)}
       157:{2,3,5,7}:{(112,1),(113,1),(184,1),(199,1),(203,1),(204,1),(291,1),(441,1),(442,1)}
       158:{2,4,6}:{(113,1),(114,1),(204,1),(205,1)}
       159:{1,3,5,6}:{(114,1),(115,1),(186,1),(201,1),(205,1),(206,1),(293,1),(352,1)}
       160:{2,4,5,6}:{(115,1),(202,1),(206,1),(207,1),(342,1)}
       161:{2,6,7}:{(116,1),(117,1)}
       162:{1,3,5,6,7}:{(117,1),(118,1),(119,1),(201,1),(208,1),(209,1),(295,1),(297,1),(366,1)}
       163:{2,4,6,7}:{(118,1),(202,1),(209,1),(210,1)}
       164:{1,4,5,6,7}:{(119,1),(120,1),(209,1),(211,1),(273,1)}
       165:{3,5,6,7}:{(120,1),(210,1),(274,1),(295,1)}
       166:{1,3,5,6}:{(121,1),(122,1),(127,1),(212,1),(213,1)}
       167:{2,3,5,7}:{(121,1),(123,1),(128,1),(213,1),(214,1),(370,1)}
       168:{2,4,6}:{(122,1),(124,1),(212,1),(215,1),(216,1)}
       169:{1,3,4,7}:{(122,1),(123,1),(131,1),(213,1),(216,1),(227,1)}
       170:{2,3,4,6,7}:{(123,1),(126,1),(132,1),(214,1),(217,1),(218,1),(238,1),(246,1),(300,1),(319,1),(326,1),(416,1),(418,1)}
       171:{2,3,5}:{(124,1),(134,1),(215,1),(219,1)}
       172:{2,4,5,7}:{(124,1),(125,1),(216,1),(220,1),(221,1),(302,1),(369,1),(372,1),(444,1),(445,1)}
       173:{1,3,4,6}:{(125,1),(126,1),(136,1),(221,1),(222,1),(232,1),(315,1),(323,1),(373,1)}
       174:{2,3,5,6}:{(126,1),(137,1),(218,1),(222,1),(223,1),(235,1),(317,1)}
       175:{1,4,5,7}:{(127,1),(128,1),(131,1),(213,1),(224,1),(229,1)}
       176:{2,4,6,7}:{(128,1),(129,1),(214,1),(224,1),(225,1),(298,1)}
       177:{1,3,5,6,7}:{(129,1),(133,1),(225,1),(226,1),(310,1)}
       178:{1,3,6}:{(130,1),(134,1),(152,1),(215,1),(227,1)}
       179:{1,2,4,7}:{(130,1),(131,1),(139,1),(153,1),(216,1),(227,1)}
       180:{1,4,6,7}:{(131,1),(132,1),(136,1),(140,1),(229,1)}
       181:{2,5,7}:{(132,1),(133,1),(137,1),(229,1)}
       182:{1,4,5,7}:{(133,1),(138,1),(142,1),(230,1),(379,1)}
       183:{1,3,4}:{(134,1),(143,1),(156,1),(219,1)}
       184:{1,3,5,7}:{(134,1),(135,1),(157,1),(220,1),(227,1),(231,1),(232,1),(314,1),(447,1),(448,1)}
       185:{1,2,4,6}:{(135,1),(136,1),(145,1),(158,1),(221,1),(232,1),(233,1),(315,1),(323,1),(386,1)}
       186:{1,5,6}:{(136,1),(137,1),(229,1)}
       187:{2,4,5,6}:{(137,1),(138,1),(147,1),(230,1),(234,1),(235,1),(317,1)}
       188:{1,2,6,7}:{(139,1),(140,1),(145,1),(161,1),(298,1)}
       189:{1,3,5,6,7}:{(140,1),(141,1),(146,1),(229,1),(236,1),(237,1),(311,1),(313,1),(318,1)}
       190:{2,4,6,7}:{(141,1),(142,1),(147,1),(230,1),(237,1),(238,1),(326,1),(369,1)}
       191:{1,2,4,7}:{(143,1),(144,1),(231,1),(239,1),(449,1)}
       192:{1,2,3,6}:{(144,1),(145,1),(232,1),(239,1),(386,1)}
       193:{1,2,5,6}:{(145,1),(146,1),(149,1),(241,1),(317,1)}
       194:{1,4,6}:{(146,1),(147,1),(150,1)}
       195:{3,4,6}:{(147,1),(151,1),(235,1)}
       196:{1,2,3,5,7}:{(148,1),(149,1),(240,1),(243,1),(244,1),(311,1),(378,1),(424,1),(447,1)}
       197:{1,2,4,5,7}:{(149,1),(150,1),(241,1),(243,1),(244,1),(245,1),(320,1)}
       198:{1,3,4,5,7}:{(150,1),(151,1),(242,1),(244,1),(245,1),(313,1),(377,1),(380,1)}
       199:{2,3,7}:{(152,1),(153,1),(227,1)}
       200:{2,4,6,7}:{(153,1),(154,1),(158,1),(161,1),(246,1),(247,1),(326,1),(393,1),(429,1)}
       201:{1,3,5,7}:{(154,1),(155,1),(159,1),(229,1),(247,1),(248,1),(327,1),(379,1)}
       202:{2,4,5,7}:{(155,1),(160,1),(163,1),(248,1),(249,1),(369,1)}
       203:{2,3,4,7}:{(156,1),(157,1),(231,1),(250,1),(326,1),(450,1)}
       204:{2,3,6}:{(157,1),(158,1),(232,1)}
       205:{2,5,6}:{(158,1),(159,1),(247,1)}
       206:{1,4,5,6}:{(159,1),(160,1),(248,1),(252,1),(315,1)}
       207:{3,4,5,6}:{(160,1),(235,1),(249,1),(373,1)}
       208:{2,5,6,7}:{(161,1),(162,1),(247,1),(254,1),(393,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(248,1),(254,1)}
       210:{3,4,6,7}:{(163,1),(165,1),(249,1)}
       211:{1,3,5,6,7}:{(164,1),(165,1),(255,1),(256,1),(313,1)}
       212:{2,5,6}:{(166,1),(168,1),(257,1)}
       213:{1,3,5,7}:{(166,1),(167,1),(169,1),(175,1),(257,1),(258,1)}
       214:{2,3,6,7}:{(167,1),(176,1),(258,1),(394,1)}
       215:{2,3,6}:{(168,1),(171,1),(178,1),(260,1)}
       216:{2,4,7}:{(168,1),(169,1),(257,1),(260,1)}
       217:{1,3,4,6,7}:{(169,1),(170,1),(173,1),(180,1),(258,1),(261,1),(262,1),(271,1),(336,1),(346,1),(354,1),(394,1),(396,1),(432,1),(433,1)}
       218:{2,3,5,7}:{(170,1),(174,1),(181,1),(262,1),(263,1),(274,1),(348,1)}
       219:{2,3,4}:{(171,1),(183,1)}
       220:{2,3,5,7}:{(171,1),(172,1),(184,1),(260,1),(264,1),(265,1),(341,1),(451,1),(452,1)}
       221:{2,4,6}:{(172,1),(173,1),(265,1),(266,1)}
       222:{1,3,5,6}:{(173,1),(174,1),(186,1),(262,1),(266,1),(267,1),(343,1),(352,1)}
       223:{2,4,5,6}:{(174,1),(263,1),(267,1),(268,1),(292,1)}
       224:{1,4,6,7}:{(175,1),(176,1),(258,1),(269,1)}
       225:{2,5,6,7}:{(176,1),(177,1),(181,1),(269,1)}
       226:{1,4,5,6,7}:{(177,1),(182,1),(270,1),(336,1),(402,1)}
       227:{1,3,7}:{(178,1),(179,1),(199,1),(260,1)}
       228:{1,2,4,6,7}:{(179,1),(180,1),(185,1),(188,1),(200,1),(261,1),(271,1),(272,1),(346,1),(354,1),(408,1),(437,1)}
       229:{1,5,7}:{(180,1),(181,1),(186,1)}
       230:{2,4,5,7}:{(181,1),(182,1),(187,1),(190,1),(273,1),(274,1),(348,1)}
       231:{1,3,4,7}:{(183,1),(184,1),(191,1),(203,1),(264,1),(275,1),(346,1),(453,1)}
       232:{1,3,6}:{(184,1),(185,1),(204,1),(265,1)}
       233:{1,2,5,6}:{(185,1),(186,1),(205,1),(266,1),(272,1),(276,1),(281,1),(352,1)}
       234:{1,4,5,6}:{(186,1),(187,1),(194,1),(273,1),(278,1)}
       235:{3,5,6}:{(187,1),(195,1),(274,1)}
       236:{1,2,5,6,7}:{(188,1),(189,1),(193,1),(208,1),(272,1),(279,1),(297,1),(335,1),(348,1),(402,1)}
       237:{1,4,6,7}:{(189,1),(190,1),(194,1),(273,1),(346,1)}
       238:{3,4,6,7}:{(190,1),(195,1),(274,1),(295,1),(360,1),(394,1),(396,1)}
       239:{1,2,4,6}:{(191,1),(192,1),(275,1),(281,1)}
       240:{1,2,3,5,6}:{(192,1),(193,1),(196,1),(276,1),(281,1),(282,1),(283,1),(351,1),(355,1),(407,1),(439,1),(440,1)}
       241:{1,2,4,6}:{(193,1),(194,1),(197,1),(283,1),(284,1)}
       242:{1,3,4,6}:{(194,1),(195,1),(198,1),(278,1),(283,1),(284,1)}
       243:{1,2,4,7}:{(196,1),(282,1),(285,1),(346,1),(403,1)}
       244:{1,3,5,7}:{(197,1),(283,1),(285,1),(286,1),(355,1)}
       245:{2,4,5,7}:{(198,1),(284,1),(286,1),(287,1),(348,1),(403,1),(405,1)}
       246:{2,3,6,7}:{(199,1),(200,1),(204,1),(271,1),(288,1),(295,1),(441,1)}
       247:{2,5,7}:{(200,1),(201,1),(205,1)}
       248:{1,4,5,7}:{(201,1),(202,1),(206,1),(209,1),(289,1),(346,1)}
       249:{3,4,5,7}:{(202,1),(207,1),(210,1),(274,1),(396,1)}
       250:{2,3,4,6}:{(203,1),(204,1),(275,1),(291,1),(292,1)}
       251:{2,3,5,6}:{(204,1),(205,1),(276,1),(288,1),(291,1),(292,1),(293,1)}
       252:{2,4,5,6}:{(205,1),(206,1),(289,1),(292,1),(293,1)}
       253:{1,3,4,5,6}:{(206,1),(207,1),(278,1),(290,1),(293,1),(294,1),(350,1),(365,1)}
       254:{2,4,6,7}:{(208,1),(209,1),(289,1),(295,1)}
       255:{1,3,4,6,7}:{(209,1),(210,1),(211,1),(290,1),(295,1),(296,1),(366,1)}
       256:{2,5,6,7}:{(211,1),(296,1),(297,1),(348,1)}
       257:{2,5,7}:{(212,1),(213,1),(216,1),(298,1)}
       258:{1,3,6,7}:{(213,1),(214,1),(224,1),(298,1)}
       259:{2,3,5,6,7}:{(214,1),(218,1),(225,1),(299,1),(300,1),(310,1),(376,1),(416,1)}
       260:{2,3,7}:{(215,1),(216,1),(227,1)}
       261:{2,4,6,7}:{(216,1),(217,1),(221,1),(298,1),(301,1),(302,1),(369,1),(443,1),(444,1)}
       262:{1,3,5,7}:{(217,1),(218,1),(222,1),(229,1),(302,1),(303,1),(370,1),(379,1)}
       263:{2,4,5,7}:{(218,1),(223,1),(300,1),(303,1),(304,1),(326,1)}
       264:{2,3,4,7}:{(219,1),(220,1),(231,1),(305,1),(369,1),(454,1)}
       265:{2,3,6}:{(220,1),(221,1),(232,1)}
       266:{2,5,6}:{(221,1),(222,1),(302,1)}
       267:{1,4,5,6}:{(222,1),(223,1),(303,1),(307,1),(315,1)}
       268:{3,4,5,6}:{(223,1),(235,1),(304,1),(330,1)}
       269:{1,5,6,7}:{(224,1),(225,1),(229,1)}
       270:{2,4,5,6,7}:{(225,1),(226,1),(230,1),(300,1),(309,1),(310,1),(367,1),(376,1)}
       271:{1,3,6,7}:{(227,1),(228,1),(232,1),(246,1),(301,1),(311,1),(447,1)}
       272:{1,2,5,7}:{(228,1),(229,1),(233,1),(247,1),(302,1),(311,1),(379,1)}
       273:{1,4,5,7}:{(229,1),(230,1),(234,1),(237,1),(313,1)}
       274:{3,5,7}:{(230,1),(235,1),(238,1)}
       275:{1,3,4,6}:{(231,1),(232,1),(239,1),(250,1),(305,1),(314,1),(315,1)}
       276:{1,3,5,6}:{(232,1),(233,1),(251,1),(306,1),(311,1),(314,1),(315,1)}
       277:{1,2,4,5,6}:{(233,1),(234,1),(241,1),(252,1),(307,1),(312,1),(315,1),(316,1),(317,1),(320,1),(332,1),(375,1),(381,1),(392,1),(422,1),(426,1)}
       278:{1,3,5,6}:{(234,1),(235,1),(242,1),(313,1),(317,1)}
       279:{1,2,4,6,7}:{(236,1),(237,1),(241,1),(254,1),(312,1),(318,1),(319,1),(334,1),(367,1),(393,1),(417,1),(443,1)}
       280:{1,3,4,6,7}:{(237,1),(238,1),(242,1),(313,1),(318,1),(319,1),(377,1)}
       281:{1,2,5}:{(239,1),(314,1)}
       282:{1,2,4,6}:{(240,1),(243,1),(315,1),(320,1),(321,1),(381,1),(449,1)}
       283:{1,3,6}:{(241,1),(244,1),(322,1)}
       284:{2,4,6}:{(242,1),(245,1),(317,1),(322,1),(323,1)}
       285:{1,3,4,7}:{(243,1),(244,1),(321,1),(324,1),(447,1)}
       286:{2,3,5,7}:{(244,1),(245,1),(322,1),(324,1),(325,1),(384,1)}
       287:{1,4,5,7}:{(245,1),(323,1),(325,1),(379,1),(423,1),(425,1)}
       288:{2,3,5,7}:{(246,1),(247,1),(251,1),(311,1),(326,1),(327,1)}
       289:{2,4,5,7}:{(247,1),(248,1),(252,1),(254,1),(326,1),(327,1)}
       290:{1,3,4,5,7}:{(248,1),(249,1),(253,1),(255,1),(313,1),(327,1),(328,1),(377,1),(389,1)}
       291:{2,3,5}:{(250,1),(314,1),(329,1)}
       292:{2,4,6}:{(251,1),(315,1),(326,1),(329,1),(330,1)}
       293:{3,5,6}:{(252,1),(327,1),(330,1)}
       294:{2,4,5,6}:{(253,1),(317,1),(328,1),(331,1),(332,1),(381,1),(392,1)}
       295:{3,6,7}:{(254,1),(327,1)}
       296:{2,4,6,7}:{(255,1),(256,1),(328,1),(333,1),(334,1),(393,1)}
       297:{1,5,6,7}:{(256,1),(334,1),(379,1)}
       298:{2,6,7}:{(257,1),(258,1)}
       299:{1,3,5,6,7}:{(258,1),(259,1),(262,1),(269,1),(335,1),(336,1),(394,1),(402,1),(432,1)}
       300:{2,4,6,7}:{(259,1),(263,1),(336,1),(337,1)}
       301:{2,3,6,7}:{(260,1),(261,1),(265,1),(271,1),(338,1),(394,1),(451,1)}
       302:{2,5,7}:{(261,1),(262,1),(266,1)}
       303:{1,4,5,7}:{(262,1),(263,1),(267,1),(336,1),(339,1),(346,1)}
       304:{3,4,5,7}:{(263,1),(268,1),(274,1),(337,1),(360,1)}
       305:{2,3,4,6}:{(264,1),(265,1),(275,1),(341,1),(342,1)}
       306:{2,3,5,6}:{(265,1),(266,1),(276,1),(338,1),(341,1),(342,1),(343,1)}
       307:{2,4,5,6}:{(266,1),(267,1),(339,1),(342,1),(343,1)}
       308:{1,3,4,5,6}:{(267,1),(268,1),(278,1),(340,1),(343,1),(344,1),(350,1),(401,1)}
       309:{1,4,5,6,7}:{(269,1),(270,1),(273,1),(336,1),(345,1)}
       310:{3,5,6,7}:{(270,1),(274,1),(337,1),(394,1)}
       311:{1,3,5,7}:{(271,1),(272,1),(276,1),(288,1),(338,1),(346,1)}
       312:{1,2,4,5,7}:{(272,1),(273,1),(277,1),(279,1),(289,1),(339,1),(346,1),(347,1),(348,1),(362,1),(398,1),(403,1),(413,1),(434,1),(437,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(278,1),(280,1),(348,1)}
       314:{1,3,5}:{(275,1),(281,1),(291,1),(341,1),(349,1)}
       315:{1,4,6}:{(276,1),(292,1),(342,1),(346,1),(349,1)}
       316:{1,3,5,6}:{(277,1),(283,1),(293,1),(343,1),(347,1),(350,1),(351,1),(355,1),(439,1)}
       317:{2,5,6}:{(278,1),(284,1),(348,1),(352,1)}
       318:{1,3,6,7}:{(279,1),(283,1),(295,1),(347,1),(353,1),(394,1)}
       319:{2,4,6,7}:{(280,1),(284,1),(348,1),(353,1),(354,1),(403,1)}
       320:{1,2,4,5}:{(281,1),(282,1),(349,1),(355,1),(405,1)}
       321:{1,3,4,6}:{(282,1),(283,1),(285,1),(355,1),(356,1),(439,1),(453,1)}
       322:{2,3,6}:{(283,1),(284,1),(286,1),(357,1)}
       323:{1,4,6}:{(284,1),(287,1),(352,1),(357,1)}
       324:{2,3,4,7}:{(285,1),(286,1),(356,1),(358,1),(403,1),(441,1),(451,1)}
       325:{1,3,5,7}:{(286,1),(287,1),(357,1),(358,1),(359,1),(409,1)}
       326:{2,4,7}:{(288,1),(292,1),(346,1),(360,1)}
       327:{3,5,7}:{(289,1),(293,1),(295,1),(360,1)}
       328:{2,4,5,7}:{(290,1),(294,1),(296,1),(348,1),(361,1),(362,1),(403,1),(413,1)}
       329:{2,4,5}:{(291,1),(292,1),(349,1),(363,1)}
       330:{3,4,6}:{(292,1),(293,1),(360,1),(363,1)}
       331:{2,3,5,6}:{(293,1),(294,1),(361,1),(364,1),(365,1)}
       332:{1,4,5,6}:{(294,1),(352,1),(362,1),(365,1),(406,1)}
       333:{2,3,6,7}:{(295,1),(296,1),(361,1),(366,1)}
       334:{1,4,6,7}:{(296,1),(297,1),(362,1),(366,1)}
       335:{2,5,6,7}:{(298,1),(299,1),(302,1),(367,1),(443,1)}
       336:{1,4,6,7}:{(299,1),(300,1),(303,1),(367,1)}
       337:{3,4,6,7}:{(300,1),(304,1),(310,1)}
       338:{2,3,5,7}:{(301,1),(302,1),(306,1),(311,1),(369,1),(370,1)}
       339:{2,4,5,7}:{(302,1),(303,1),(307,1),(367,1),(369,1),(370,1)}
       340:{1,3,4,5,7}:{(303,1),(304,1),(308,1),(313,1),(368,1),(370,1),(371,1),(377,1),(419,1)}
       341:{2,3,5}:{(305,1),(314,1),(372,1)}
       342:{2,4,6}:{(306,1),(315,1),(369,1),(372,1),(373,1)}
       343:{3,5,6}:{(307,1),(370,1),(373,1)}
       344:{2,4,5,6}:{(308,1),(317,1),(371,1),(374,1),(375,1),(381,1),(422,1)}
       345:{1,3,5,6,7}:{(309,1),(310,1),(313,1),(368,1),(376,1)}
       346:{1,4,7}:{(311,1),(315,1),(326,1),(369,1)}
       347:{1,3,5,7}:{(312,1),(316,1),(318,1),(327,1),(370,1),(377,1),(378,1),(447,1)}
       348:{2,5,7}:{(313,1),(317,1),(319,1),(379,1)}
       349:{1,4,5}:{(314,1),(315,1),(329,1),(372,1)}
       350:{1,3,4,6}:{(315,1),(316,1),(330,1),(373,1),(377,1),(380,1),(381,1)}
       351:{2,3,5,6}:{(316,1),(317,1),(322,1),(378,1),(381,1),(382,1),(384,1),(392,1),(422,1),(431,1),(446,1)}
       352:{1,5,6}:{(317,1),(323,1),(379,1)}
       353:{2,3,6,7}:{(318,1),(319,1),(322,1),(378,1),(383,1),(393,1),(443,1)}
       354:{1,4,6,7}:{(319,1),(323,1),(379,1),(383,1),(423,1)}
       355:{1,3,5}:{(320,1),(321,1),(384,1)}
       356:{2,3,4,6}:{(321,1),(322,1),(324,1),(381,1),(384,1),(385,1),(431,1),(446,1),(450,1),(454,1)}
       357:{1,3,6}:{(322,1),(323,1),(325,1),(386,1)}
       358:{1,3,4,7}:{(324,1),(325,1),(385,1),(387,1),(423,1),(447,1)}
       359:{1,2,5,7}:{(325,1),(386,1),(387,1),(427,1)}
       360:{3,4,7}:{(326,1),(327,1),(330,1)}
       361:{2,3,5,7}:{(327,1),(328,1),(331,1),(333,1),(388,1),(389,1)}
       362:{1,4,5,7}:{(328,1),(332,1),(334,1),(379,1),(389,1),(423,1)}
       363:{3,4,5}:{(329,1),(330,1)}
       364:{2,3,4,6}:{(330,1),(331,1),(381,1),(388,1),(390,1),(391,1),(446,1)}
       365:{1,3,5,6}:{(331,1),(332,1),(389,1),(391,1),(392,1)}
       366:{1,3,6,7}:{(333,1),(334,1),(389,1),(393,1)}
       367:{2,4,6,7}:{(335,1),(336,1),(339,1),(394,1)}
       368:{1,3,4,6,7}:{(336,1),(337,1),(340,1),(345,1),(394,1),(395,1),(432,1)}
       369:{2,4,7}:{(338,1),(342,1),(346,1),(396,1)}
       370:{3,5,7}:{(339,1),(343,1),(394,1),(396,1)}
       371:{2,4,5,7}:{(340,1),(344,1),(348,1),(395,1),(397,1),(398,1),(403,1),(434,1)}
       372:{2,4,5}:{(341,1),(342,1),(349,1),(399,1)}
       373:{3,4,6}:{(342,1),(343,1),(396,1),(399,1)}
       374:{2,3,5,6}:{(343,1),(344,1),(397,1),(400,1),(401,1)}
       375:{1,4,5,6}:{(344,1),(352,1),(398,1),(401,1),(406,1)}
       376:{2,5,6,7}:{(345,1),(348,1),(395,1),(402,1)}
       377:{1,3,4,7}:{(346,1),(347,1),(350,1),(360,1),(396,1),(403,1)}
       378:{2,3,5,7}:{(347,1),(348,1),(351,1),(353,1),(403,1),(404,1),(413,1),(434,1),(441,1),(451,1)}
       379:{1,5,7}:{(348,1),(352,1),(354,1)}
       380:{1,3,4,5}:{(349,1),(350,1),(355,1),(363,1),(399,1),(405,1)}
       381:{2,4,6}:{(350,1),(351,1),(403,1),(405,1),(406,1)}
       382:{1,3,5,6}:{(351,1),(352,1),(357,1),(404,1),(406,1),(407,1),(409,1),(439,1)}
       383:{1,3,6,7}:{(353,1),(354,1),(357,1),(404,1),(408,1)}
       384:{2,3,5}:{(355,1),(356,1),(405,1),(409,1)}
       385:{1,3,4,6}:{(356,1),(357,1),(358,1),(406,1),(409,1),(410,1),(439,1),(453,1)}
       386:{1,2,6}:{(357,1),(359,1)}
       387:{1,2,4,7}:{(358,1),(359,1),(410,1),(411,1)}
       388:{2,3,4,7}:{(360,1),(361,1),(364,1),(403,1),(412,1),(451,1)}
       389:{1,3,5,7}:{(361,1),(362,1),(365,1),(366,1),(412,1),(413,1)}
       390:{2,3,4,5}:{(363,1),(364,1),(405,1),(414,1),(452,1)}
       391:{1,3,4,6}:{(364,1),(365,1),(406,1),(412,1),(414,1),(415,1),(439,1)}
       392:{2,5,6}:{(365,1),(413,1),(415,1)}
       393:{2,6,7}:{(366,1),(413,1)}
       394:{3,6,7}:{(367,1),(370,1)}
       395:{2,4,6,7}:{(368,1),(371,1),(376,1),(416,1),(417,1),(443,1)}
       396:{3,4,7}:{(369,1),(370,1),(373,1)}
       397:{2,3,5,7}:{(370,1),(371,1),(374,1),(416,1),(418,1),(419,1)}
       398:{1,4,5,7}:{(371,1),(375,1),(379,1),(417,1),(419,1),(423,1)}
       399:{3,4,5}:{(372,1),(373,1)}
       400:{2,3,4,6}:{(373,1),(374,1),(381,1),(418,1),(420,1),(421,1),(431,1)}
       401:{1,3,5,6}:{(374,1),(375,1),(419,1),(421,1),(422,1)}
       402:{1,5,6,7}:{(376,1),(379,1),(417,1)}
       403:{2,4,7}:{(377,1),(378,1),(381,1),(423,1)}
       404:{1,3,5,7}:{(378,1),(379,1),(382,1),(383,1),(423,1),(424,1),(447,1)}
       405:{2,4,5}:{(380,1),(381,1),(384,1),(425,1)}
       406:{1,4,6}:{(381,1),(382,1),(423,1),(425,1)}
       407:{1,2,5,6}:{(382,1),(386,1),(392,1),(422,1),(424,1),(426,1),(427,1)}
       408:{1,2,6,7}:{(383,1),(386,1),(393,1),(424,1),(443,1)}
       409:{1,3,5}:{(384,1),(385,1),(425,1),(427,1)}
       410:{1,2,4,6}:{(385,1),(386,1),(387,1),(427,1),(428,1),(449,1)}
       411:{1,2,3,7}:{(387,1),(428,1),(447,1)}
       412:{1,3,4,7}:{(388,1),(389,1),(391,1),(423,1),(429,1),(447,1)}
       413:{2,5,7}:{(389,1),(392,1),(393,1),(429,1)}
       414:{1,3,4,5}:{(390,1),(391,1),(425,1),(430,1),(448,1)}
       415:{2,4,6}:{(391,1),(392,1),(429,1),(430,1),(431,1)}
       416:{2,3,6,7}:{(394,1),(395,1),(397,1),(432,1)}
       417:{1,4,6,7}:{(395,1),(398,1),(402,1),(432,1)}
       418:{2,3,4,7}:{(396,1),(397,1),(400,1),(403,1),(433,1),(441,1)}
       419:{1,3,5,7}:{(397,1),(398,1),(401,1),(432,1),(433,1),(434,1)}
       420:{2,3,4,5}:{(399,1),(400,1),(405,1),(435,1),(442,1)}
       421:{1,3,4,6}:{(400,1),(401,1),(406,1),(433,1),(435,1),(436,1),(439,1)}
       422:{2,5,6}:{(401,1),(434,1),(436,1)}
       423:{1,4,7}:{(403,1),(404,1),(406,1)}
       424:{1,2,5,7}:{(404,1),(407,1),(408,1),(413,1),(434,1),(437,1)}
       425:{1,4,5}:{(405,1),(406,1),(409,1)}
       426:{1,2,4,6}:{(406,1),(407,1),(415,1),(436,1),(437,1),(438,1),(439,1)}
       427:{1,2,5}:{(409,1),(410,1)}
       428:{1,2,3,6}:{(410,1),(411,1),(439,1),(440,1)}
       429:{2,4,7}:{(412,1),(413,1),(415,1),(441,1)}
       430:{2,4,5}:{(414,1),(415,1),(442,1)}
       431:{2,3,6}:{(415,1),(439,1),(441,1),(442,1)}
       432:{1,3,6,7}:{(416,1),(417,1),(419,1),(443,1)}
       433:{1,3,4,7}:{(418,1),(419,1),(421,1),(423,1),(444,1),(447,1)}
       434:{2,5,7}:{(419,1),(422,1),(443,1),(444,1)}
       435:{1,3,4,5}:{(420,1),(421,1),(425,1),(445,1),(448,1)}
       436:{2,4,6}:{(421,1),(422,1),(444,1),(445,1),(446,1)}
       437:{1,2,4,7}:{(423,1),(424,1),(426,1),(429,1),(444,1),(447,1)}
       438:{1,2,4,5}:{(425,1),(426,1),(427,1),(430,1),(445,1),(448,1),(449,1)}
       439:{1,3,6}:{(426,1),(431,1),(446,1),(447,1),(448,1)}
       440:{1,2,3,5}:{(427,1),(428,1),(448,1),(449,1)}
       441:{2,3,7}:{(429,1),(431,1),(447,1)}
       442:{2,3,5}:{(430,1),(431,1),(448,1),(450,1)}
       443:{2,6,7}:{(432,1),(434,1)}
       444:{2,4,7}:{(433,1),(434,1),(436,1),(451,1)}
       445:{2,4,5}:{(435,1),(436,1),(452,1)}
       446:{2,3,6}:{(436,1),(439,1),(451,1),(452,1)}
       447:{1,3,7}:{(437,1),(439,1),(441,1),(451,1)}
       448:{1,3,5}:{(438,1),(439,1),(442,1),(452,1),(453,1)}
       449:{1,2,4}:{(440,1),(453,1)}
       450:{2,3,4}:{(442,1),(453,1)}
       451:{2,3,7}:{(444,1),(446,1),(447,1)}
       452:{2,3,5}:{(445,1),(446,1),(448,1),(454,1)}
       453:{1,3,4}:{(448,1),(449,1),(450,1),(454,1)}
       454:{2,3,4}:{(452,1),(453,1)}

2226 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2227 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2228 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(123,1),(178,1),(183,1),(189,1),(213,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(25,1),(29,1),(146,1),(150,1),(244,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(38,1),(72,1),(86,1),(149,1),(166,1),(168,1),(237,1),(260,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(225,1),(238,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(47,1),(292,1)}
         5:{1,2,4,7}:{(1,1),(11,1),(14,1),(192,1)}
         6:{2,3,4,7}:{(11,1),(16,1),(17,1),(125,1),(210,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(56,1),(60,1),(125,1),(211,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(47,1),(107,1),(124,1),(287,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(269,1),(283,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(64,1),(101,1),(183,1),(213,1),(215,1),(273,1),(288,1)}
        11:{1,3,4,7}:{(5,1),(6,1),(23,1),(24,1),(25,1),(149,1),(240,1)}
        12:{1,2,3,6,7}:{(4,1),(26,1),(27,1),(74,1),(150,1),(153,1),(233,1),(246,1),(335,1),(391,1)}
        13:{1,2,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(73,1),(77,1),(79,1),(146,1),(153,1),(157,1),(233,1),(247,1),(327,1),(333,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(24,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(25,1),(29,1),(30,1),(66,1),(72,1),(81,1),(149,1),(237,1),(241,1),(244,1),(334,1)}
        16:{2,3,4,6}:{(6,1),(24,1),(33,1),(34,1),(87,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(25,1),(33,1),(34,1),(258,1),(343,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(35,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(35,1),(37,1),(38,1),(90,1),(328,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(36,1),(38,1),(74,1),(92,1),(149,1),(168,1),(170,1),(260,1),(263,1),(332,1)}
        21:{2,4,5,6}:{(9,1),(37,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(38,1),(41,1),(315,1),(329,1)}
        23:{2,3,4,7}:{(11,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,3,4,6}:{(11,1),(14,1),(16,1),(42,1),(46,1),(47,1),(107,1)}
        25:{1,3,5,7}:{(11,1),(15,1),(17,1),(43,1),(46,1),(47,1),(289,1),(367,1)}
        26:{1,2,3,5,7}:{(12,1),(13,1),(48,1),(49,1),(108,1),(110,1),(202,1),(294,1),(367,1),(408,1)}
        27:{1,2,4,6,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(111,1),(196,1),(282,1),(288,1),(292,1)}
        28:{1,2,4,6}:{(13,1),(48,1),(50,1),(51,1),(107,1),(192,1),(194,1),(407,1)}
        29:{1,2,5}:{(14,1),(46,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(47,1),(52,1),(97,1),(107,1),(287,1),(292,1)}
        31:{2,3,4,5,7}:{(17,1),(44,1),(54,1),(56,1),(119,1),(120,1),(125,1),(181,1),(189,1),(277,1)}
        32:{2,3,4,6,7}:{(16,1),(45,1),(55,1),(58,1),(109,1),(121,1),(125,1),(198,1),(209,1),(288,1),(352,1),(406,1),(424,1)}
        33:{2,3,5}:{(16,1),(46,1),(56,1)}
        34:{2,3,6}:{(17,1),(18,1),(47,1)}
        35:{2,5,6}:{(18,1),(19,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(20,1),(58,1),(60,1),(125,1),(305,1),(308,1)}
        37:{1,4,5,6}:{(19,1),(21,1),(59,1),(63,1),(107,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(22,1),(60,1),(63,1),(128,1),(364,1)}
        39:{2,3,5,6,7}:{(22,1),(61,1),(64,1),(133,1),(215,1),(218,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(269,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(63,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(24,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(66,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,5,7}:{(25,1),(31,1),(66,1),(70,1),(72,1),(138,1),(142,1),(149,1),(227,1),(229,1),(237,1),(322,1)}
        45:{1,3,4,6,7}:{(24,1),(27,1),(32,1),(67,1),(71,1),(74,1),(75,1),(144,1),(149,1),(151,1),(153,1),(245,1),(326,1),(332,1),(391,1),(419,1)}
        46:{1,3,5}:{(24,1),(29,1),(33,1),(68,1),(72,1)}
        47:{1,3,6}:{(25,1),(30,1),(34,1),(69,1)}
        48:{1,2,4,7}:{(26,1),(28,1),(75,1),(149,1),(243,1),(419,1)}
        49:{1,2,5,7}:{(27,1),(29,1),(71,1),(77,1),(327,1),(329,1)}
        50:{1,3,4,6}:{(28,1),(75,1),(78,1),(79,1),(153,1),(240,1),(333,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(72,1),(79,1),(147,1),(327,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(35,1),(73,1),(81,1),(134,1),(328,1)}
        53:{1,2,4,6,7}:{(30,1),(36,1),(74,1),(81,1),(135,1),(149,1),(332,1),(334,1),(335,1)}
        54:{2,3,4,6}:{(31,1),(34,1),(70,1),(82,1),(87,1),(164,1),(238,1)}
        55:{2,3,5,7}:{(32,1),(33,1),(71,1),(84,1),(85,1),(253,1),(329,1),(381,1)}
        56:{2,4,5}:{(33,1),(72,1),(86,1),(87,1)}
        57:{2,3,5,6}:{(33,1),(34,1),(35,1),(73,1),(87,1),(88,1),(90,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(74,1),(88,1),(170,1),(343,1)}
        59:{2,4,5,6}:{(35,1),(37,1),(87,1),(90,1),(91,1)}
        60:{2,5,7}:{(35,1),(36,1),(38,1)}
        61:{1,3,5,6,7}:{(38,1),(39,1),(89,1),(92,1),(170,1),(263,1),(265,1)}
        62:{1,3,4,5,6}:{(37,1),(40,1),(90,1),(93,1),(94,1),(148,1),(171,1),(234,1),(251,1),(336,1),(393,1)}
        63:{1,4,5,7}:{(37,1),(38,1),(41,1),(91,1),(92,1),(149,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(92,1),(96,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(96,1),(229,1),(315,1)}
        66:{2,4,5,7}:{(43,1),(44,1),(97,1),(99,1),(177,1),(183,1),(275,1),(359,1)}
        67:{2,3,4,6,7}:{(42,1),(45,1),(98,1),(101,1),(109,1),(179,1),(183,1),(198,1),(273,1),(288,1),(298,1),(373,1),(411,1)}
        68:{2,3,5}:{(42,1),(46,1),(99,1)}
        69:{2,3,6}:{(43,1),(47,1),(97,1)}
        70:{1,3,4,6}:{(44,1),(47,1),(54,1),(97,1),(102,1),(107,1),(182,1),(287,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(49,1),(55,1),(98,1),(104,1),(105,1),(362,1),(364,1)}
        72:{1,4,5}:{(46,1),(56,1),(99,1),(107,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(52,1),(57,1),(100,1),(107,1),(108,1)}
        74:{1,3,6,7}:{(47,1),(53,1),(58,1),(101,1),(108,1),(367,1)}
        75:{1,3,4,7}:{(48,1),(50,1),(109,1),(110,1),(367,1)}
        76:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(104,1),(110,1),(111,1),(189,1)}
        77:{1,2,5,6}:{(49,1),(105,1),(111,1),(283,1),(292,1)}
        78:{2,3,4,6}:{(50,1),(109,1),(114,1),(115,1),(194,1),(198,1),(210,1),(274,1),(304,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(59,1),(107,1),(111,1),(116,1),(117,1),(131,1),(176,1),(187,1),(194,1),(216,1),(280,1),(283,1),(290,1),(348,1),(363,1),(368,1),(401,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(60,1),(108,1),(177,1),(364,1)}
        82:{2,3,5,6}:{(54,1),(102,1),(118,1),(119,1),(205,1),(283,1)}
        83:{2,3,4,6,7}:{(54,1),(58,1),(103,1),(119,1),(125,1),(203,1),(209,1),(277,1),(288,1),(347,1)}
        84:{2,4,5,7}:{(55,1),(56,1),(104,1),(120,1),(121,1),(125,1),(403,1),(424,1)}
        85:{2,3,5,6}:{(55,1),(105,1),(121,1),(198,1),(205,1),(283,1)}
        86:{3,4,5}:{(56,1),(124,1)}
        87:{2,4,6}:{(56,1),(57,1),(107,1),(124,1),(125,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(60,1),(108,1),(125,1),(128,1)}
        89:{2,5,6,7}:{(60,1),(61,1),(126,1),(308,1)}
        90:{3,5,6}:{(59,1),(124,1),(128,1)}
        91:{2,4,5,7}:{(59,1),(60,1),(63,1),(125,1),(126,1),(128,1)}
        92:{1,4,6,7}:{(61,1),(63,1),(64,1),(126,1)}
        93:{2,4,5,6}:{(62,1),(127,1),(131,1),(132,1),(194,1),(216,1),(283,1)}
        94:{1,3,4,5,7}:{(62,1),(63,1),(65,1),(128,1),(130,1),(132,1),(195,1),(217,1),(284,1),(297,1),(369,1),(410,1)}
        95:{2,4,5,6,7}:{(64,1),(129,1),(133,1),(218,1),(270,1),(374,1)}
        96:{3,4,6,7}:{(64,1),(65,1),(133,1)}
        97:{2,4,6}:{(66,1),(69,1),(70,1),(134,1)}
        98:{2,3,5,7}:{(67,1),(68,1),(71,1),(136,1),(137,1),(315,1),(329,1),(338,1)}
        99:{2,4,5}:{(68,1),(72,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(73,1),(134,1),(139,1),(140,1),(221,1)}
       101:{2,3,6,7}:{(69,1),(74,1),(135,1),(140,1),(310,1),(386,1)}
       102:{1,3,5,6}:{(70,1),(82,1),(134,1),(141,1),(142,1),(221,1),(328,1)}
       103:{1,3,4,6,7}:{(70,1),(74,1),(83,1),(135,1),(142,1),(149,1),(229,1),(230,1),(310,1),(322,1),(332,1),(377,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(84,1),(136,1),(144,1),(149,1),(388,1),(419,1)}
       105:{1,3,5,6}:{(71,1),(77,1),(85,1),(137,1),(144,1),(153,1),(245,1),(328,1)}
       106:{1,3,4,5}:{(72,1),(79,1),(86,1),(138,1),(147,1),(148,1),(388,1),(392,1),(414,1)}
       107:{1,4,6}:{(72,1),(73,1),(87,1),(139,1),(149,1)}
       108:{1,3,5,7}:{(73,1),(74,1),(81,1),(88,1),(140,1),(149,1)}
       109:{2,3,4,7}:{(75,1),(78,1),(151,1),(152,1),(243,1),(343,1),(386,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(79,1),(152,1),(153,1)}
       111:{1,2,4,6}:{(76,1),(77,1),(144,1),(153,1),(238,1)}
       112:{1,2,5,6,7}:{(77,1),(81,1),(89,1),(145,1),(154,1),(220,1),(265,1),(329,1),(335,1),(345,1),(387,1),(390,1),(413,1)}
       113:{1,2,3,6}:{(146,1),(150,1),(155,1),(333,1)}
       114:{1,3,4,6}:{(78,1),(151,1),(155,1),(156,1),(240,1),(242,1),(245,1),(333,1)}
       115:{2,3,5}:{(78,1),(79,1),(147,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(90,1),(148,1),(153,1),(157,1),(158,1),(221,1),(333,1),(393,1),(415,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(91,1),(149,1),(154,1),(158,1),(175,1),(222,1),(235,1),(243,1),(264,1),(325,1),(329,1),(334,1),(378,1),(390,1),(394,1),(416,1),(419,1)}
       118:{2,4,5,6}:{(82,1),(87,1),(141,1),(160,1),(161,1)}
       119:{2,3,5,7}:{(82,1),(83,1),(142,1),(161,1),(253,1),(329,1)}
       120:{3,4,5,7}:{(84,1),(86,1),(164,1),(168,1),(253,1),(414,1),(426,1)}
       121:{2,4,6}:{(84,1),(85,1),(144,1),(164,1)}
       122:{2,3,5,6,7}:{(85,1),(88,1),(89,1),(145,1),(165,1),(170,1),(246,1),(253,1),(329,1),(413,1),(418,1),(425,1)}
       123:{2,3,4,5}:{(86,1),(147,1),(166,1),(167,1),(320,1),(392,1)}
       124:{3,4,6}:{(86,1),(87,1),(90,1),(168,1)}
       125:{2,4,7}:{(87,1),(88,1),(149,1),(168,1)}
       126:{2,4,6,7}:{(89,1),(91,1),(92,1),(170,1)}
       127:{2,3,5,6}:{(90,1),(93,1),(167,1),(171,1),(172,1),(393,1)}
       128:{3,5,7}:{(90,1),(91,1),(168,1),(170,1)}
       129:{1,4,5,6,7}:{(92,1),(95,1),(169,1),(173,1),(235,1),(265,1),(344,1)}
       130:{1,3,4,6,7}:{(92,1),(94,1),(96,1),(170,1),(173,1),(174,1),(261,1),(263,1),(344,1),(397,1)}
       131:{1,4,5,6}:{(93,1),(171,1),(175,1),(242,1),(328,1)}
       132:{2,4,5,7}:{(93,1),(94,1),(172,1),(174,1),(175,1),(243,1),(264,1),(329,1)}
       133:{3,5,6,7}:{(95,1),(96,1),(315,1),(397,1)}
       134:{2,5,6}:{(97,1),(102,1),(177,1)}
       135:{2,4,6,7}:{(97,1),(101,1),(103,1),(177,1),(183,1),(359,1),(400,1)}
       136:{2,4,5,7}:{(98,1),(99,1),(104,1),(178,1),(179,1),(183,1),(370,1),(411,1)}
       137:{2,3,5,6}:{(98,1),(105,1),(179,1),(198,1),(269,1),(283,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(107,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(108,1),(177,1),(183,1),(268,1)}
       141:{1,4,5,6}:{(102,1),(107,1),(118,1),(176,1),(186,1)}
       142:{1,3,5,7}:{(102,1),(103,1),(119,1),(177,1),(186,1),(268,1),(364,1)}
       143:{1,3,4,5,7}:{(104,1),(106,1),(110,1),(120,1),(178,1),(189,1),(190,1),(195,1),(284,1)}
       144:{1,4,6}:{(104,1),(105,1),(121,1),(179,1)}
       145:{1,3,5,6,7}:{(105,1),(108,1),(112,1),(122,1),(180,1),(191,1),(199,1),(284,1),(293,1),(364,1),(408,1)}
       146:{1,2,3,5}:{(113,1),(192,1),(200,1),(289,1)}
       147:{2,4,5}:{(106,1),(115,1),(193,1),(194,1)}
       148:{1,3,4,6}:{(106,1),(107,1),(116,1),(124,1),(182,1),(194,1),(195,1),(407,1),(409,1),(422,1)}
       149:{1,4,7}:{(107,1),(108,1),(125,1),(183,1)}
       150:{1,2,3,7}:{(113,1),(196,1),(367,1)}
       151:{1,3,4,7}:{(109,1),(114,1),(196,1),(197,1),(291,1),(367,1)}
       152:{2,3,5,7}:{(109,1),(110,1),(115,1),(189,1),(197,1),(198,1)}
       153:{1,3,6}:{(110,1),(111,1),(198,1)}
       154:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(126,1),(191,1),(199,1),(219,1),(266,1),(288,1),(308,1),(361,1),(374,1),(400,1),(421,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(192,1),(196,1),(200,1),(292,1)}
       156:{1,3,5}:{(114,1),(115,1),(193,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(194,1),(198,1),(201,1),(202,1),(216,1),(283,1),(304,1),(348,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(128,1),(195,1),(199,1),(202,1),(268,1),(367,1),(410,1),(423,1)}
       159:{2,3,5,6,7}:{(119,1),(184,1),(203,1),(295,1),(347,1),(360,1)}
       160:{3,4,5,6}:{(118,1),(124,1),(204,1),(205,1)}
       161:{2,4,5,7}:{(118,1),(119,1),(125,1),(186,1),(203,1),(204,1)}
       162:{2,4,5,6}:{(121,1),(187,1),(205,1),(206,1),(283,1)}
       163:{2,3,4,5,7}:{(120,1),(123,1),(189,1),(207,1),(208,1),(213,1),(300,1),(355,1),(403,1),(424,1)}
       164:{3,4,6}:{(120,1),(121,1),(205,1)}
       165:{2,4,6,7}:{(121,1),(122,1),(125,1),(191,1),(206,1),(209,1),(424,1)}
       166:{1,3,4,5}:{(123,1),(193,1),(211,1),(212,1),(289,1)}
       167:{2,3,4,6}:{(123,1),(124,1),(127,1),(194,1),(212,1),(213,1),(358,1),(409,1)}
       168:{3,4,7}:{(124,1),(125,1),(128,1)}
       169:{2,4,5,6,7}:{(126,1),(129,1),(206,1),(214,1),(218,1),(306,1)}
       170:{3,6,7}:{(126,1),(128,1)}
       171:{1,3,5,6}:{(127,1),(131,1),(212,1),(216,1),(217,1)}
       172:{2,3,5,7}:{(127,1),(128,1),(132,1),(213,1),(215,1),(217,1),(410,1)}
       173:{1,3,5,6,7}:{(129,1),(130,1),(133,1),(214,1),(218,1),(284,1)}
       174:{2,4,6,7}:{(130,1),(132,1),(215,1),(218,1),(219,1),(308,1)}
       175:{1,4,5,7}:{(131,1),(132,1),(217,1),(219,1),(291,1),(364,1)}
       176:{2,4,5,6}:{(134,1),(139,1),(141,1),(221,1),(222,1)}
       177:{2,5,7}:{(134,1),(135,1),(142,1)}
       178:{3,4,5,7}:{(136,1),(138,1),(225,1),(229,1),(315,1),(392,1),(420,1)}
       179:{2,4,6}:{(136,1),(137,1),(144,1),(225,1)}
       180:{2,3,5,6,7}:{(137,1),(140,1),(145,1),(220,1),(226,1),(246,1),(310,1),(315,1),(329,1),(345,1),(396,1),(397,1)}
       181:{2,3,4,5}:{(138,1),(147,1),(227,1),(228,1),(258,1),(414,1)}
       182:{3,4,6}:{(138,1),(139,1),(221,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(149,1),(229,1)}
       184:{1,3,5,6,7}:{(142,1),(159,1),(220,1),(230,1),(310,1),(377,1),(387,1)}
       185:{1,3,4,5,6}:{(141,1),(148,1),(160,1),(221,1),(231,1),(232,1),(234,1),(311,1),(313,1),(379,1),(415,1)}
       186:{1,4,5,7}:{(141,1),(142,1),(149,1),(161,1),(222,1),(230,1)}
       187:{1,4,5,6}:{(144,1),(162,1),(223,1),(234,1),(235,1),(328,1)}
       188:{1,2,3,5,7}:{(146,1),(150,1),(233,1),(236,1),(244,1),(327,1),(330,1)}
       189:{2,4,5,7}:{(143,1),(147,1),(152,1),(237,1),(238,1),(243,1),(329,1)}
       190:{1,3,4,6}:{(143,1),(144,1),(153,1),(164,1),(225,1),(234,1),(238,1)}
       191:{1,4,6,7}:{(144,1),(145,1),(149,1),(165,1),(226,1),(235,1),(419,1)}
       192:{1,2,4}:{(146,1),(240,1)}
       193:{1,4,5}:{(147,1),(156,1),(242,1)}
       194:{2,4,6}:{(147,1),(148,1),(157,1),(242,1),(243,1)}
       195:{1,3,4,7}:{(148,1),(149,1),(158,1),(168,1),(229,1),(243,1),(419,1),(420,1),(426,1)}
       196:{1,2,4,7}:{(150,1),(151,1),(155,1),(244,1)}
       197:{1,3,5,7}:{(151,1),(152,1),(156,1),(237,1),(244,1),(245,1)}
       198:{2,3,6}:{(152,1),(153,1),(238,1),(245,1)}
       199:{1,3,6,7}:{(153,1),(154,1),(158,1),(170,1),(246,1),(310,1),(397,1),(425,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(242,1),(245,1),(247,1),(248,1),(328,1),(333,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(243,1),(246,1),(248,1),(264,1),(329,1),(343,1),(378,1),(386,1)}
       203:{2,4,6,7}:{(159,1),(161,1),(230,1),(250,1)}
       204:{3,4,5,7}:{(160,1),(161,1),(168,1),(250,1),(253,1)}
       205:{3,5,6}:{(162,1),(164,1),(253,1)}
       206:{2,4,5,7}:{(162,1),(165,1),(235,1),(253,1),(329,1)}
       207:{1,3,4,5,7}:{(163,1),(166,1),(237,1),(255,1),(256,1),(260,1),(330,1),(340,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(163,1),(164,1),(238,1),(252,1),(256,1),(384,1),(417,1)}
       209:{3,4,6,7}:{(164,1),(165,1),(168,1),(170,1),(253,1),(425,1),(426,1)}
       210:{2,3,4}:{(240,1),(258,1)}
       211:{2,4,5}:{(166,1),(258,1),(259,1)}
       212:{1,3,4,6}:{(166,1),(167,1),(171,1),(242,1),(259,1),(260,1),(333,1)}
       213:{2,3,4,7}:{(167,1),(168,1),(172,1),(243,1),(260,1),(386,1),(420,1)}
       214:{3,5,6,7}:{(169,1),(170,1),(253,1),(261,1)}
       215:{2,3,6,7}:{(170,1),(172,1),(174,1),(263,1),(397,1)}
       216:{2,5,6}:{(171,1),(259,1),(264,1)}
       217:{1,3,5,7}:{(171,1),(172,1),(175,1),(260,1),(263,1),(264,1)}
       218:{2,5,6,7}:{(173,1),(174,1),(265,1),(329,1)}
       219:{1,4,6,7}:{(174,1),(175,1),(263,1),(265,1)}
       220:{2,5,6,7}:{(177,1),(184,1),(266,1),(400,1)}
       221:{3,5,6}:{(176,1),(182,1),(268,1)}
       222:{2,4,5,7}:{(176,1),(177,1),(183,1),(186,1),(266,1),(268,1)}
       223:{2,4,5,6}:{(179,1),(187,1),(269,1),(270,1),(283,1)}
       224:{2,3,4,5,7}:{(178,1),(181,1),(189,1),(271,1),(272,1),(277,1),(301,1),(354,1),(370,1),(411,1)}
       225:{3,4,6}:{(178,1),(179,1),(269,1)}
       226:{2,4,6,7}:{(179,1),(180,1),(183,1),(191,1),(270,1),(273,1),(411,1)}
       227:{1,3,4,5}:{(181,1),(193,1),(275,1),(276,1),(289,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(194,1),(267,1),(276,1),(277,1),(304,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(268,1)}
       230:{1,4,6,7}:{(184,1),(186,1),(203,1),(266,1)}
       231:{2,4,5,6}:{(185,1),(194,1),(267,1),(280,1),(281,1),(283,1),(348,1)}
       232:{1,3,4,5,7}:{(185,1),(186,1),(195,1),(204,1),(268,1),(279,1),(281,1),(284,1),(349,1),(351,1),(402,1),(423,1)}
       233:{1,2,3,6}:{(188,1),(282,1),(292,1),(365,1)}
       234:{1,3,5,6}:{(187,1),(190,1),(205,1),(269,1),(283,1),(284,1)}
       235:{1,4,5,7}:{(187,1),(191,1),(206,1),(270,1),(284,1),(364,1)}
       236:{1,2,4,7}:{(188,1),(192,1),(282,1),(285,1)}
       237:{1,4,5,7}:{(189,1),(193,1),(197,1),(287,1),(291,1),(364,1)}
       238:{2,4,6}:{(189,1),(190,1),(198,1),(283,1),(287,1)}
       239:{1,3,4,6,7}:{(190,1),(191,1),(195,1),(199,1),(209,1),(273,1),(284,1),(288,1)}
       240:{1,3,4}:{(192,1),(210,1),(274,1),(289,1)}
       241:{1,2,4,5}:{(192,1),(193,1),(200,1),(211,1),(275,1),(289,1),(290,1)}
       242:{1,4,6}:{(193,1),(194,1),(201,1),(291,1)}
       243:{2,4,7}:{(194,1),(195,1),(202,1),(291,1)}
       244:{1,2,5,7}:{(196,1),(197,1),(200,1),(292,1)}
       245:{1,3,6}:{(197,1),(198,1),(287,1),(292,1)}
       246:{2,3,6,7}:{(198,1),(199,1),(202,1),(288,1),(293,1),(308,1),(400,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(216,1),(290,1),(292,1),(294,1),(348,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(291,1),(293,1),(294,1),(364,1),(367,1)}
       249:{2,4,5,6,7}:{(203,1),(206,1),(278,1),(295,1),(360,1),(421,1)}
       250:{3,4,6,7}:{(203,1),(204,1),(295,1)}
       251:{3,4,5,6}:{(205,1),(296,1),(297,1),(422,1)}
       252:{2,3,5,6}:{(205,1),(208,1),(283,1),(296,1),(299,1),(300,1)}
       253:{3,5,7}:{(205,1),(206,1),(209,1)}
       254:{2,3,4,7}:{(210,1),(285,1),(298,1),(301,1),(411,1)}
       255:{2,4,5,7}:{(207,1),(211,1),(301,1),(302,1),(305,1),(370,1),(372,1),(411,1)}
       256:{1,3,4,6}:{(207,1),(208,1),(287,1),(299,1),(302,1),(365,1),(407,1),(409,1)}
       257:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(215,1),(288,1),(300,1),(303,1),(306,1),(406,1),(424,1)}
       258:{2,3,5}:{(210,1),(211,1),(289,1),(304,1)}
       259:{2,4,6}:{(211,1),(212,1),(216,1),(304,1),(305,1)}
       260:{1,3,4,7}:{(212,1),(213,1),(217,1),(291,1),(305,1),(367,1)}
       261:{3,4,6,7}:{(214,1),(297,1),(306,1)}
       262:{2,3,5,6,7}:{(214,1),(215,1),(218,1),(300,1),(306,1),(307,1)}
       263:{1,3,6,7}:{(215,1),(217,1),(219,1),(308,1)}
       264:{2,5,7}:{(216,1),(217,1),(305,1),(308,1)}
       265:{1,5,6,7}:{(218,1),(219,1),(364,1)}
       266:{2,4,6,7}:{(220,1),(222,1),(230,1),(310,1)}
       267:{2,3,5,6}:{(221,1),(228,1),(231,1),(311,1),(312,1),(415,1)}
       268:{3,5,7}:{(221,1),(222,1),(229,1),(310,1)}
       269:{3,5,6}:{(223,1),(225,1),(315,1)}
       270:{2,4,5,7}:{(223,1),(226,1),(235,1),(315,1),(329,1)}
       271:{1,3,4,5,7}:{(224,1),(227,1),(237,1),(317,1),(318,1),(322,1),(330,1),(383,1),(388,1),(414,1),(419,1),(426,1)}
       272:{2,3,4,6}:{(224,1),(225,1),(238,1),(314,1),(318,1),(341,1),(395,1)}
       273:{3,4,6,7}:{(225,1),(226,1),(229,1),(310,1),(315,1),(397,1),(420,1)}
       274:{2,3,4}:{(240,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(242,1),(311,1),(321,1),(322,1),(333,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(243,1),(312,1),(322,1),(343,1),(426,1)}
       278:{1,4,5,6,7}:{(230,1),(235,1),(249,1),(309,1),(323,1),(387,1),(412,1)}
       279:{1,3,4,6,7}:{(230,1),(232,1),(250,1),(310,1),(323,1),(324,1),(375,1),(377,1),(412,1),(425,1)}
       280:{1,4,5,6}:{(231,1),(242,1),(311,1),(325,1),(328,1)}
       281:{2,4,5,7}:{(231,1),(232,1),(243,1),(312,1),(324,1),(325,1),(329,1),(378,1)}
       282:{1,2,4,6}:{(233,1),(236,1),(326,1),(327,1)}
       283:{2,5,6}:{(234,1),(238,1),(328,1),(329,1)}
       284:{1,3,5,7}:{(234,1),(235,1),(239,1),(253,1),(315,1),(329,1)}
       285:{1,3,4,7}:{(236,1),(240,1),(254,1),(316,1),(326,1),(330,1),(419,1)}
       286:{1,2,4,5,7}:{(236,1),(237,1),(241,1),(244,1),(255,1),(317,1),(327,1),(330,1),(331,1),(334,1),(388,1),(390,1),(419,1)}
       287:{1,4,6}:{(237,1),(238,1),(245,1),(328,1)}
       288:{2,4,6,7}:{(238,1),(239,1),(243,1),(246,1),(329,1),(332,1)}
       289:{1,3,5}:{(240,1),(241,1),(258,1),(320,1),(333,1)}
       290:{1,2,4,6}:{(241,1),(242,1),(247,1),(259,1),(321,1),(333,1),(334,1)}
       291:{1,4,7}:{(242,1),(243,1),(248,1)}
       292:{1,2,6}:{(244,1),(245,1)}
       293:{1,3,6,7}:{(245,1),(246,1),(248,1),(332,1),(335,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(264,1),(334,1),(335,1),(378,1)}
       295:{3,5,6,7}:{(249,1),(250,1),(253,1),(425,1)}
       296:{2,4,5,6}:{(251,1),(252,1),(336,1),(337,1),(417,1)}
       297:{3,4,5,7}:{(251,1),(253,1),(261,1),(337,1),(426,1)}
       298:{2,3,4,6}:{(254,1),(326,1),(338,1),(341,1),(395,1)}
       299:{1,3,5,6}:{(252,1),(256,1),(328,1),(336,1),(339,1),(340,1),(393,1)}
       300:{2,3,5,7}:{(252,1),(253,1),(257,1),(329,1),(337,1),(340,1)}
       301:{2,3,5,7}:{(254,1),(255,1),(258,1),(330,1),(338,1),(341,1),(343,1)}
       302:{2,4,6}:{(255,1),(256,1),(339,1),(341,1)}
       303:{1,3,4,6,7}:{(256,1),(257,1),(260,1),(263,1),(332,1),(340,1),(342,1),(344,1),(391,1),(397,1),(419,1),(420,1)}
       304:{2,3,6}:{(258,1),(259,1),(333,1),(343,1)}
       305:{2,4,7}:{(259,1),(260,1),(264,1),(343,1)}
       306:{2,4,6,7}:{(261,1),(262,1),(337,1),(344,1)}
       307:{1,3,5,6,7}:{(262,1),(263,1),(265,1),(340,1),(344,1),(345,1),(397,1)}
       308:{2,6,7}:{(263,1),(264,1)}
       309:{2,4,5,6,7}:{(266,1),(270,1),(278,1),(346,1),(360,1),(398,1)}
       310:{3,6,7}:{(266,1),(268,1)}
       311:{1,3,5,6}:{(267,1),(276,1),(280,1),(348,1),(349,1)}
       312:{2,3,5,7}:{(267,1),(268,1),(277,1),(281,1),(347,1),(349,1),(423,1)}
       313:{3,4,5,6}:{(269,1),(350,1),(351,1),(409,1)}
       314:{2,3,5,6}:{(269,1),(272,1),(283,1),(350,1),(353,1),(354,1)}
       315:{3,5,7}:{(269,1),(270,1),(273,1)}
       316:{2,3,4,7}:{(274,1),(285,1),(352,1),(355,1),(424,1)}
       317:{2,4,5,7}:{(271,1),(275,1),(355,1),(356,1),(359,1),(403,1),(405,1),(424,1)}
       318:{1,3,4,6}:{(271,1),(272,1),(287,1),(353,1),(356,1),(365,1),(407,1),(422,1)}
       319:{2,3,4,6,7}:{(272,1),(273,1),(277,1),(288,1),(347,1),(354,1),(357,1),(373,1),(398,1),(411,1)}
       320:{2,3,5}:{(274,1),(275,1),(289,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(348,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(291,1),(349,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(279,1),(284,1),(295,1),(346,1),(360,1)}
       324:{2,4,6,7}:{(279,1),(281,1),(347,1),(360,1),(361,1),(400,1)}
       325:{1,4,5,7}:{(280,1),(281,1),(291,1),(349,1),(361,1),(364,1)}
       326:{1,3,4,6}:{(282,1),(285,1),(298,1),(352,1),(362,1),(365,1),(407,1)}
       327:{1,2,5}:{(282,1),(362,1)}
       328:{1,5,6}:{(283,1),(287,1),(364,1)}
       329:{2,5,7}:{(283,1),(284,1),(288,1),(364,1)}
       330:{1,3,5,7}:{(285,1),(286,1),(289,1),(301,1),(355,1),(362,1),(365,1),(367,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(292,1),(302,1),(356,1),(363,1),(365,1),(407,1)}
       332:{1,4,6,7}:{(287,1),(288,1),(291,1),(293,1),(364,1)}
       333:{1,3,6}:{(289,1),(290,1),(304,1),(358,1),(367,1)}
       334:{1,2,4,7}:{(290,1),(291,1),(294,1),(305,1),(359,1),(367,1)}
       335:{1,2,6,7}:{(292,1),(293,1),(294,1),(308,1),(400,1)}
       336:{1,4,5,6}:{(296,1),(299,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(296,1),(297,1),(300,1),(306,1),(369,1),(424,1)}
       338:{2,3,5}:{(298,1),(362,1),(370,1)}
       339:{2,5,6}:{(299,1),(302,1),(372,1)}
       340:{1,3,5,7}:{(299,1),(300,1),(303,1),(364,1),(369,1),(372,1),(410,1)}
       341:{2,3,6}:{(301,1),(302,1),(365,1)}
       342:{2,4,6,7}:{(302,1),(303,1),(305,1),(308,1),(372,1),(373,1),(411,1)}
       343:{2,3,7}:{(304,1),(305,1),(367,1)}
       344:{1,4,6,7}:{(306,1),(307,1),(369,1),(374,1)}
       345:{2,5,6,7}:{(307,1),(308,1),(372,1),(374,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(315,1),(375,1)}
       347:{2,3,6,7}:{(310,1),(312,1),(324,1),(377,1),(425,1)}
       348:{2,5,6}:{(311,1),(321,1),(378,1)}
       349:{1,3,5,7}:{(311,1),(312,1),(322,1),(325,1),(377,1),(378,1)}
       350:{2,4,5,6}:{(313,1),(314,1),(379,1),(380,1),(395,1)}
       351:{3,4,5,7}:{(313,1),(315,1),(375,1),(380,1),(420,1)}
       352:{2,3,4,6}:{(316,1),(326,1),(381,1),(384,1),(417,1)}
       353:{1,3,5,6}:{(314,1),(318,1),(328,1),(379,1),(382,1),(383,1),(415,1)}
       354:{2,3,5,7}:{(314,1),(315,1),(319,1),(329,1),(380,1),(383,1)}
       355:{2,3,5,7}:{(316,1),(317,1),(320,1),(330,1),(381,1),(384,1),(386,1)}
       356:{2,4,6}:{(317,1),(318,1),(382,1),(384,1)}
       357:{1,3,4,6,7}:{(318,1),(319,1),(322,1),(332,1),(377,1),(383,1),(385,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       358:{2,3,6}:{(320,1),(321,1),(333,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(378,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(324,1),(329,1),(387,1)}
       361:{1,4,6,7}:{(324,1),(325,1),(377,1),(387,1)}
       362:{1,3,5}:{(326,1),(327,1),(338,1),(381,1),(388,1)}
       363:{1,2,5,6}:{(327,1),(328,1),(331,1),(339,1),(382,1),(389,1),(390,1)}
       364:{1,5,7}:{(328,1),(329,1),(332,1)}
       365:{1,3,6}:{(330,1),(331,1),(341,1),(384,1)}
       366:{1,2,4,6,7}:{(331,1),(332,1),(334,1),(335,1),(342,1),(385,1),(390,1),(391,1),(419,1)}
       367:{1,3,7}:{(333,1),(334,1),(343,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(339,1),(393,1),(394,1),(395,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(340,1),(344,1),(394,1),(419,1)}
       370:{2,4,5}:{(338,1),(388,1),(392,1),(395,1)}
       371:{2,3,5,6}:{(338,1),(339,1),(341,1),(389,1),(393,1),(395,1),(396,1)}
       372:{2,5,7}:{(339,1),(340,1),(342,1)}
       373:{2,3,6,7}:{(341,1),(342,1),(343,1),(391,1),(396,1),(397,1)}
       374:{2,4,6,7}:{(344,1),(345,1),(394,1),(397,1)}
       375:{3,4,6,7}:{(346,1),(351,1),(398,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(354,1),(360,1),(398,1),(399,1)}
       377:{1,3,6,7}:{(347,1),(349,1),(361,1),(400,1)}
       378:{2,5,7}:{(348,1),(349,1),(359,1),(400,1)}
       379:{1,4,5,6}:{(350,1),(353,1),(401,1),(402,1),(407,1)}
       380:{2,4,5,7}:{(350,1),(351,1),(354,1),(398,1),(402,1),(411,1)}
       381:{2,3,5}:{(352,1),(362,1),(403,1)}
       382:{2,5,6}:{(353,1),(356,1),(405,1)}
       383:{1,3,5,7}:{(353,1),(354,1),(357,1),(364,1),(402,1),(405,1),(423,1)}
       384:{2,3,6}:{(355,1),(356,1),(365,1)}
       385:{2,4,6,7}:{(356,1),(357,1),(359,1),(400,1),(405,1),(406,1),(424,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(361,1),(364,1)}
       388:{1,4,5}:{(362,1),(370,1),(403,1),(407,1)}
       389:{1,3,5,6}:{(362,1),(363,1),(365,1),(371,1),(404,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(363,1),(364,1),(366,1),(372,1),(405,1),(408,1)}
       391:{1,3,6,7}:{(365,1),(366,1),(367,1),(373,1),(406,1),(408,1)}
       392:{3,4,5}:{(370,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(372,1),(374,1),(410,1),(411,1)}
       395:{2,4,6}:{(370,1),(371,1),(407,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(371,1),(372,1),(373,1),(408,1),(410,1),(411,1)}
       397:{3,6,7}:{(374,1),(410,1)}
       398:{2,4,6,7}:{(375,1),(376,1),(380,1),(412,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(383,1),(387,1),(412,1),(413,1),(425,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{2,4,5,6}:{(379,1),(382,1),(415,1),(416,1),(417,1)}
       402:{1,4,5,7}:{(379,1),(380,1),(383,1),(412,1),(416,1),(419,1)}
       403:{2,4,5}:{(381,1),(388,1),(414,1),(417,1)}
       404:{2,3,5,6}:{(381,1),(382,1),(384,1),(389,1),(415,1),(417,1),(418,1)}
       405:{2,5,7}:{(382,1),(383,1),(385,1)}
       406:{2,3,6,7}:{(384,1),(385,1),(386,1),(391,1),(418,1),(425,1)}
       407:{1,4,6}:{(388,1),(389,1),(395,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(396,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(395,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(397,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(399,1),(402,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(405,1),(421,1)}
       414:{3,4,5}:{(403,1),(422,1)}
       415:{3,5,6}:{(401,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(401,1),(402,1),(405,1),(421,1),(423,1),(424,1)}
       417:{2,4,6}:{(403,1),(404,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(404,1),(405,1),(406,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(413,1),(416,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(417,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2229 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(44,1),(56,1),(97,1),(112,1),(114,1),(151,1),(157,1),(209,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(32,1),(79,1),(80,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(28,1),(36,1),(74,1),(81,1),(83,1),(85,1),(129,1),(141,1),(142,1),(183,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(79,1),(177,1),(182,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(20,1),(43,1),(60,1),(93,1),(111,1),(149,1),(152,1),(154,1),(157,1),(241,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(54,1),(55,1),(108,1),(109,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(52,1),(105,1),(112,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(58,1),(60,1),(157,1),(168,1),(169,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(61,1),(108,1),(156,1),(204,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(97,1),(150,1)}
        11:{1,3,4,6,7}:{(4,1),(25,1),(26,1),(28,1),(67,1),(74,1),(123,1),(125,1),(129,1),(176,1),(179,1),(180,1),(183,1)}
        12:{2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(117,1),(139,1),(171,1),(182,1)}
        13:{1,2,4,6,7}:{(8,1),(25,1),(28,1),(29,1),(73,1),(74,1),(81,1),(138,1),(176,1),(183,1),(184,1),(185,1),(189,1),(217,1),(235,1)}
        14:{2,4,5,7}:{(6,1),(30,1),(31,1),(32,1),(79,1),(189,1)}
        15:{2,5,6,7}:{(5,1),(33,1),(35,1),(79,1),(138,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(31,1),(33,1),(36,1)}
        17:{3,4,6,7}:{(6,1),(32,1),(37,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(35,1),(36,1),(83,1),(135,1),(141,1)}
        19:{2,4,6}:{(7,1),(10,1),(36,1),(37,1)}
        20:{2,3,6,7}:{(8,1),(28,1),(38,1),(83,1),(130,1),(192,1),(217,1)}
        21:{2,5,7}:{(8,1),(9,1),(35,1),(182,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(36,1),(39,1),(74,1),(128,1)}
        23:{3,4,5,7}:{(10,1),(32,1),(37,1),(125,1),(177,1)}
        24:{2,3,5,6}:{(12,1),(42,1),(43,1),(90,1),(147,1),(152,1)}
        25:{2,4,6,7}:{(11,1),(44,1),(45,1),(95,1),(97,1),(157,1),(202,1),(203,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(45,1),(46,1),(98,1),(156,1),(195,1),(204,1)}
        27:{2,4,5,7}:{(12,1),(43,1),(46,1),(47,1),(60,1),(110,1)}
        28:{1,3,6,7}:{(13,1),(20,1),(44,1),(49,1),(101,1),(158,1),(206,1),(209,1),(241,1)}
        29:{1,2,5,7}:{(13,1),(21,1),(45,1),(48,1),(49,1),(108,1),(165,1),(195,1),(204,1),(227,1)}
        30:{2,4,5,6}:{(14,1),(19,1),(51,1),(52,1),(105,1),(150,1),(208,1)}
        31:{1,4,5,7}:{(14,1),(16,1),(51,1),(53,1),(54,1),(108,1),(164,1)}
        32:{3,5,7}:{(14,1),(17,1),(52,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(16,1),(53,1),(55,1),(58,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(54,1),(55,1),(56,1),(59,1),(106,1),(109,1),(164,1),(209,1)}
        35:{2,5,6}:{(18,1),(21,1),(58,1),(168,1)}
        36:{1,4,6}:{(18,1),(19,1),(22,1),(58,1)}
        37:{3,4,6}:{(19,1),(23,1),(52,1)}
        38:{2,3,5,7}:{(20,1),(21,1),(49,1),(57,1),(60,1),(61,1),(227,1),(241,1)}
        39:{2,4,5,7}:{(21,1),(22,1),(58,1),(60,1),(61,1),(110,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(54,1),(59,1),(61,1),(62,1),(102,1),(106,1),(115,1),(156,1),(161,1),(164,1),(207,1),(209,1),(233,1)}
        41:{2,3,5,6,7}:{(24,1),(64,1),(65,1),(117,1),(171,1),(175,1)}
        42:{1,3,5,6}:{(24,1),(26,1),(66,1),(67,1),(123,1),(174,1),(179,1)}
        43:{2,4,6}:{(24,1),(27,1),(67,1),(68,1)}
        44:{2,3,6,7}:{(25,1),(28,1),(69,1),(123,1),(130,1),(138,1),(220,1)}
        45:{2,5,7}:{(25,1),(26,1),(66,1),(182,1)}
        46:{1,4,5,7}:{(26,1),(27,1),(67,1),(70,1),(74,1),(128,1)}
        47:{3,4,5,7}:{(27,1),(68,1),(85,1),(117,1),(139,1)}
        48:{1,2,5,6}:{(29,1),(35,1),(66,1),(72,1),(73,1),(135,1),(174,1),(182,1),(184,1),(188,1),(216,1),(221,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(38,1),(69,1),(72,1),(74,1)}
        50:{1,2,4,5,7}:{(29,1),(39,1),(70,1),(73,1),(74,1),(75,1),(87,1),(127,1),(128,1),(131,1),(143,1),(181,1),(182,1),(185,1),(189,1),(221,1),(223,1),(235,1),(236,1),(239,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(36,1),(76,1),(77,1),(128,1),(135,1),(187,1)}
        52:{3,5,6}:{(30,1),(32,1),(37,1),(177,1),(224,1)}
        53:{2,4,5,7}:{(31,1),(33,1),(76,1),(78,1),(79,1),(136,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(34,1),(77,1),(78,1),(79,1)}
        55:{3,6,7}:{(33,1),(78,1),(83,1)}
        56:{2,4,6,7}:{(34,1),(79,1),(80,1),(81,1),(84,1),(136,1),(138,1),(189,1)}
        57:{2,3,5,6}:{(35,1),(38,1),(72,1),(82,1),(83,1),(130,1),(139,1),(182,1),(216,1),(237,1),(238,1)}
        58:{2,4,6}:{(35,1),(36,1),(39,1),(83,1)}
        59:{1,3,4,6}:{(36,1),(37,1),(40,1),(77,1),(83,1),(84,1),(133,1),(141,1),(187,1),(224,1)}
        60:{2,4,7}:{(38,1),(74,1),(82,1),(85,1)}
        61:{3,5,7}:{(39,1),(83,1),(85,1),(139,1)}
        62:{2,4,5,7}:{(40,1),(79,1),(84,1),(86,1),(87,1),(131,1),(136,1),(143,1),(182,1),(186,1),(189,1),(223,1)}
        63:{2,4,5,6}:{(43,1),(88,1),(89,1),(90,1),(110,1),(147,1),(229,1)}
        64:{1,3,5,6,7}:{(41,1),(42,1),(91,1),(92,1),(145,1),(148,1),(195,1),(199,1)}
        65:{2,4,6,7}:{(41,1),(43,1),(88,1),(92,1),(93,1)}
        66:{2,5,6}:{(42,1),(45,1),(95,1),(202,1)}
        67:{1,4,6}:{(42,1),(43,1),(46,1),(95,1)}
        68:{3,4,6}:{(43,1),(47,1),(90,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(49,1),(94,1),(97,1),(98,1),(165,1),(209,1)}
        70:{2,4,5,7}:{(45,1),(46,1),(95,1),(97,1),(98,1),(150,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(96,1),(98,1),(99,1),(102,1),(145,1),(155,1),(156,1),(193,1),(196,1),(226,1),(228,1),(241,1),(242,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(57,1),(94,1),(100,1),(101,1),(156,1),(158,1),(204,1),(232,1)}
        73:{1,2,4,6}:{(48,1),(50,1),(58,1),(95,1),(100,1),(101,1),(113,1),(153,1),(157,1),(168,1),(202,1),(208,1),(229,1)}
        74:{1,4,7}:{(49,1),(60,1),(97,1),(100,1)}
        75:{1,3,5,7}:{(50,1),(61,1),(98,1),(101,1),(102,1),(103,1),(156,1),(206,1),(209,1),(232,1),(233,1),(241,1),(242,1)}
        76:{2,4,5,6}:{(51,1),(53,1),(58,1),(104,1),(105,1),(110,1),(162,1)}
        77:{1,3,5,6}:{(51,1),(52,1),(54,1),(59,1),(104,1),(105,1),(156,1)}
        78:{3,5,7}:{(53,1),(55,1),(104,1),(106,1)}
        79:{2,5,7}:{(54,1),(56,1),(105,1),(108,1)}
        80:{2,3,6,7}:{(55,1),(56,1),(107,1),(109,1),(112,1),(209,1)}
        81:{1,4,6,7}:{(56,1),(108,1),(109,1),(113,1),(164,1)}
        82:{2,4,6}:{(57,1),(60,1),(100,1),(110,1),(111,1),(243,1)}
        83:{3,6}:{(58,1),(61,1)}
        84:{2,4,6}:{(59,1),(62,1),(105,1),(112,1),(113,1),(168,1)}
        85:{3,4,7}:{(60,1),(61,1),(111,1),(241,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(112,1),(114,1),(115,1),(166,1),(209,1),(233,1)}
        87:{1,4,5,7}:{(62,1),(108,1),(113,1),(115,1),(159,1),(164,1),(204,1),(207,1)}
        88:{2,4,5,7}:{(63,1),(65,1),(116,1),(117,1),(171,1),(235,1)}
        89:{1,4,5,6}:{(63,1),(67,1),(116,1),(118,1),(119,1),(128,1),(174,1),(215,1)}
        90:{3,5,6}:{(63,1),(68,1),(117,1),(139,1),(237,1)}
        91:{2,5,6,7}:{(64,1),(66,1),(120,1),(171,1),(217,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(120,1)}
        93:{3,4,6,7}:{(65,1),(68,1),(117,1)}
        94:{2,3,5,6}:{(66,1),(69,1),(72,1),(122,1),(123,1),(130,1),(177,1),(182,1),(188,1),(224,1),(225,1)}
        95:{2,4,6}:{(66,1),(67,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(67,1),(68,1),(71,1),(119,1),(123,1),(124,1),(172,1),(179,1),(215,1),(237,1)}
        97:{2,4,7}:{(69,1),(74,1),(122,1),(125,1)}
        98:{3,5,7}:{(70,1),(123,1),(125,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(124,1),(126,1),(127,1),(131,1),(171,1),(181,1),(182,1),(212,1),(214,1),(235,1),(236,1)}
       100:{1,4,6}:{(72,1),(74,1),(82,1),(122,1),(128,1),(239,1)}
       101:{1,3,6}:{(73,1),(75,1),(83,1),(123,1),(130,1),(224,1),(237,1)}
       102:{1,3,4,7}:{(74,1),(75,1),(85,1),(125,1),(129,1),(131,1),(239,1),(240,1),(244,1)}
       103:{2,3,5,7}:{(75,1),(130,1),(131,1),(132,1),(143,1),(181,1),(182,1),(192,1),(220,1),(225,1),(238,1)}
       104:{3,5,6}:{(76,1),(78,1),(83,1),(133,1),(139,1)}
       105:{2,5,6}:{(77,1),(79,1),(84,1),(135,1),(182,1)}
       106:{3,4,7}:{(78,1),(133,1),(136,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(80,1),(134,1),(136,1),(137,1)}
       108:{1,5,7}:{(79,1),(81,1),(135,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(137,1),(138,1),(141,1)}
       110:{2,4,5}:{(82,1),(128,1),(139,1),(182,1)}
       111:{3,4,6}:{(82,1),(83,1),(85,1),(139,1),(237,1),(244,1)}
       112:{2,3,6}:{(83,1),(84,1),(86,1),(141,1),(224,1)}
       113:{1,4,6}:{(84,1),(87,1),(135,1),(141,1)}
       114:{2,3,4,7}:{(85,1),(86,1),(131,1),(136,1),(140,1),(142,1),(220,1),(240,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(141,1),(142,1),(143,1),(190,1)}
       116:{1,4,5,7}:{(88,1),(89,1),(92,1),(144,1),(145,1),(195,1),(226,1)}
       117:{3,5,7}:{(88,1),(90,1),(93,1),(241,1)}
       118:{2,4,5,6}:{(89,1),(95,1),(144,1),(146,1),(147,1),(150,1),(197,1)}
       119:{1,3,5,6}:{(89,1),(90,1),(96,1),(145,1),(146,1),(147,1),(156,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(95,1),(144,1),(148,1)}
       121:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(145,1),(148,1),(149,1),(193,1),(199,1),(226,1),(241,1)}
       122:{2,4,6}:{(94,1),(97,1),(100,1),(150,1),(151,1),(234,1)}
       123:{3,6}:{(95,1),(98,1)}
       124:{2,4,6}:{(96,1),(99,1),(147,1),(152,1),(153,1),(202,1)}
       125:{3,4,7}:{(97,1),(98,1),(151,1),(209,1)}
       126:{2,3,5,7}:{(98,1),(99,1),(152,1),(154,1),(155,1),(200,1),(241,1),(242,1)}
       127:{1,4,5,7}:{(99,1),(153,1),(155,1),(159,1),(195,1),(204,1),(226,1),(228,1)}
       128:{1,4,5}:{(100,1),(110,1),(150,1),(156,1),(204,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(102,1),(111,1),(151,1),(156,1),(157,1)}
       130:{2,3,6}:{(101,1),(103,1),(157,1),(158,1),(168,1),(202,1)}
       131:{2,4,7}:{(102,1),(103,1),(157,1),(159,1),(234,1),(243,1)}
       132:{1,3,5,7}:{(103,1),(158,1),(159,1),(160,1),(204,1),(206,1),(232,1)}
       133:{3,4,6}:{(104,1),(106,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(105,1),(107,1),(112,1),(162,1),(163,1),(166,1)}
       135:{1,5,6}:{(105,1),(108,1),(113,1),(204,1)}
       136:{2,4,7}:{(106,1),(107,1),(162,1),(164,1)}
       137:{1,3,5,7}:{(107,1),(108,1),(109,1),(163,1),(164,1),(165,1),(209,1)}
       138:{2,6,7}:{(109,1),(165,1),(168,1)}
       139:{3,5}:{(110,1),(111,1)}
       140:{2,3,4,6}:{(111,1),(112,1),(114,1),(157,1),(162,1),(166,1),(167,1),(231,1),(243,1)}
       141:{1,3,6}:{(112,1),(113,1),(115,1),(168,1)}
       142:{1,3,4,7}:{(114,1),(115,1),(159,1),(164,1),(167,1),(169,1),(206,1),(209,1)}
       143:{2,5,7}:{(115,1),(168,1),(169,1),(210,1)}
       144:{2,4,5,7}:{(116,1),(118,1),(120,1),(170,1),(171,1),(212,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(170,1),(171,1)}
       146:{3,5,6}:{(118,1),(123,1),(170,1),(172,1),(177,1)}
       147:{2,5,6}:{(119,1),(124,1),(171,1),(174,1),(182,1)}
       148:{3,6,7}:{(120,1),(123,1),(170,1)}
       149:{2,4,6,7}:{(121,1),(124,1),(171,1),(175,1),(176,1),(212,1),(217,1),(235,1)}
       150:{2,4,5}:{(122,1),(128,1),(177,1),(182,1)}
       151:{3,4,6}:{(122,1),(123,1),(125,1),(177,1),(224,1),(240,1)}
       152:{2,3,6}:{(123,1),(124,1),(126,1),(179,1),(237,1)}
       153:{1,4,6}:{(124,1),(127,1),(174,1),(179,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(131,1),(178,1),(180,1),(192,1),(212,1),(244,1)}
       155:{1,3,5,7}:{(126,1),(127,1),(179,1),(180,1),(181,1),(218,1)}
       156:{1,3,5}:{(128,1),(129,1),(139,1),(177,1),(182,1)}
       157:{2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1)}
       158:{1,3,6}:{(130,1),(132,1),(183,1),(184,1)}
       159:{1,4,7}:{(131,1),(132,1),(183,1),(239,1)}
       160:{1,2,5,7}:{(132,1),(143,1),(181,1),(184,1),(185,1),(221,1)}
       161:{3,4,5}:{(133,1),(139,1),(186,1),(244,1)}
       162:{2,4,6}:{(133,1),(134,1),(136,1),(186,1),(187,1)}
       163:{1,3,5,6}:{(134,1),(135,1),(137,1),(141,1),(187,1),(188,1),(190,1),(224,1)}
       164:{1,4,7}:{(136,1),(137,1),(187,1),(189,1)}
       165:{2,5,7}:{(137,1),(138,1),(188,1),(189,1)}
       166:{2,3,5}:{(139,1),(140,1),(182,1),(186,1),(190,1)}
       167:{1,3,4,6}:{(140,1),(141,1),(142,1),(183,1),(187,1),(190,1),(191,1),(222,1),(224,1),(239,1),(240,1)}
       168:{2,6}:{(141,1),(143,1)}
       169:{2,4,7}:{(142,1),(143,1),(191,1),(192,1)}
       170:{3,5,7}:{(144,1),(146,1),(148,1),(193,1)}
       171:{2,5,7}:{(145,1),(147,1),(149,1),(195,1)}
       172:{3,4,6}:{(146,1),(193,1),(196,1),(197,1)}
       173:{2,3,5,6}:{(146,1),(147,1),(152,1),(194,1),(197,1),(198,1),(200,1)}
       174:{1,5,6}:{(147,1),(153,1),(195,1),(204,1)}
       175:{2,3,6,7}:{(148,1),(149,1),(152,1),(194,1),(199,1),(241,1)}
       176:{1,4,6,7}:{(149,1),(153,1),(195,1),(199,1),(226,1)}
       177:{3,5}:{(150,1),(151,1)}
       178:{2,3,4,6}:{(151,1),(152,1),(154,1),(157,1),(197,1),(200,1),(201,1),(211,1),(234,1)}
       179:{1,3,6}:{(152,1),(153,1),(155,1),(202,1)}
       180:{1,3,4,7}:{(154,1),(155,1),(159,1),(201,1),(203,1),(206,1),(226,1),(241,1)}
       181:{2,5,7}:{(155,1),(202,1),(203,1),(230,1)}
       182:{2,5}:{(156,1),(157,1),(204,1)}
       183:{1,4,6}:{(157,1),(158,1),(159,1),(204,1)}
       184:{1,2,6}:{(158,1),(160,1),(168,1),(202,1)}
       185:{1,2,4,7}:{(159,1),(160,1),(169,1),(203,1),(205,1),(206,1)}
       186:{2,4,5}:{(161,1),(162,1),(166,1),(207,1),(243,1)}
       187:{1,4,6}:{(162,1),(163,1),(164,1),(207,1),(208,1)}
       188:{2,5,6}:{(163,1),(165,1),(168,1),(208,1),(210,1)}
       189:{2,4,7}:{(164,1),(165,1),(208,1),(209,1)}
       190:{1,3,5}:{(166,1),(167,1),(204,1),(207,1),(210,1),(233,1)}
       191:{2,4,6}:{(167,1),(168,1),(169,1),(210,1),(211,1),(234,1)}
       192:{2,3,7}:{(169,1),(206,1),(209,1),(211,1)}
       193:{3,4,7}:{(170,1),(172,1),(212,1)}
       194:{2,3,5,7}:{(170,1),(171,1),(173,1),(175,1),(212,1),(213,1)}
       195:{1,5,7}:{(171,1),(174,1),(176,1)}
       196:{3,4,5}:{(172,1),(177,1),(214,1),(240,1)}
       197:{2,4,6}:{(172,1),(173,1),(212,1),(214,1),(215,1)}
       198:{1,3,5,6}:{(173,1),(174,1),(179,1),(213,1),(215,1),(216,1),(218,1),(237,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(179,1),(213,1),(217,1)}
       200:{2,3,5}:{(177,1),(178,1),(182,1),(214,1),(218,1)}
       201:{1,3,4,6}:{(178,1),(179,1),(180,1),(183,1),(215,1),(218,1),(219,1),(222,1),(237,1),(239,1),(244,1)}
       202:{2,6}:{(179,1),(181,1)}
       203:{2,4,7}:{(180,1),(181,1),(219,1),(220,1)}
       204:{1,5}:{(182,1),(183,1)}
       205:{1,2,4,6}:{(183,1),(184,1),(185,1),(191,1),(219,1),(221,1),(222,1),(239,1)}
       206:{1,3,7}:{(185,1),(192,1),(220,1),(222,1)}
       207:{1,4,5}:{(186,1),(187,1),(190,1),(223,1),(239,1)}
       208:{2,4,6}:{(187,1),(188,1),(189,1),(223,1),(224,1)}
       209:{3,7}:{(189,1),(224,1)}
       210:{2,5}:{(190,1),(191,1)}
       211:{2,3,6}:{(191,1),(192,1),(222,1),(224,1),(225,1)}
       212:{2,4,7}:{(193,1),(194,1),(197,1),(226,1)}
       213:{1,3,5,7}:{(194,1),(195,1),(198,1),(199,1),(226,1),(227,1),(241,1)}
       214:{2,4,5}:{(196,1),(197,1),(200,1),(228,1),(234,1)}
       215:{1,4,6}:{(197,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5,6}:{(198,1),(202,1),(227,1),(229,1),(230,1)}
       217:{2,6,7}:{(199,1),(202,1),(227,1)}
       218:{1,3,5}:{(200,1),(201,1),(204,1),(228,1),(230,1),(242,1)}
       219:{2,4,6}:{(201,1),(202,1),(203,1),(230,1),(231,1),(243,1)}
       220:{2,3,7}:{(203,1),(206,1),(231,1),(241,1)}
       221:{1,2,5}:{(204,1),(205,1),(210,1),(230,1),(232,1)}
       222:{1,3,6}:{(205,1),(206,1),(211,1),(231,1),(232,1)}
       223:{2,4,5}:{(207,1),(208,1),(210,1),(233,1),(234,1)}
       224:{3,6}:{(208,1),(209,1),(233,1)}
       225:{2,3,5}:{(210,1),(211,1),(232,1),(233,1),(234,1)}
       226:{1,4,7}:{(212,1),(213,1),(215,1),(235,1)}
       227:{2,5,7}:{(213,1),(216,1),(217,1),(235,1)}
       228:{1,4,5}:{(214,1),(215,1),(218,1),(236,1),(239,1)}
       229:{2,4,6}:{(215,1),(216,1),(235,1),(236,1),(237,1)}
       230:{2,5}:{(218,1),(219,1)}
       231:{2,3,6}:{(219,1),(220,1),(222,1),(237,1),(238,1)}
       232:{1,3,5}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,5}:{(223,1),(224,1),(240,1)}
       234:{2,4}:{(225,1),(239,1),(240,1)}
       235:{2,4,7}:{(226,1),(227,1),(229,1),(241,1)}
       236:{2,4,5}:{(228,1),(229,1),(230,1),(242,1),(243,1)}
       237:{3,6}:{(229,1),(241,1),(242,1)}
       238:{2,3,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       239:{1,4}:{(232,1),(234,1),(243,1)}
       240:{3,4}:{(233,1),(234,1)}
       241:{3,7}:{(235,1),(237,1)}
       242:{3,5}:{(236,1),(237,1),(244,1)}
       243:{2,4}:{(238,1),(239,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2230 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(36,1),(37,1),(87,1),(155,1),(160,1),(227,1),(238,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(60,1),(123,1),(259,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(29,1),(62,1),(119,1),(132,1),(137,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(47,1),(87,1),(88,1),(93,1),(155,1),(219,1),(234,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(159,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(284,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(45,1),(102,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(92,1),(107,1),(110,1),(154,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(115,1),(202,1)}
        10:{1,3,4,5,6}:{(5,1),(22,1),(23,1),(31,1),(55,1),(69,1),(78,1),(113,1),(136,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(61,1),(67,1),(124,1),(125,1),(132,1),(137,1),(189,1),(192,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(183,1),(250,1)}
        13:{3,4,5,7}:{(5,1),(26,1),(28,1),(191,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(263,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(68,1),(73,1),(119,1),(127,1),(132,1),(138,1),(140,1),(262,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(123,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(298,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(126,1),(190,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(83,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(40,1),(49,1),(81,1),(96,1),(106,1),(145,1),(168,1),(213,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(100,1),(172,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(44,1),(45,1),(91,1),(102,1),(228,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(36,1),(45,1),(46,1),(103,1),(161,1),(225,1),(227,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(14,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(47,1),(49,1),(155,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(283,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(163,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(102,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(107,1),(162,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(138,1),(209,1)}
        36:{2,3,5,7}:{(25,1),(60,1),(61,1),(124,1),(197,1),(256,1),(296,1)}
        37:{2,3,4,5}:{(59,1),(62,1),(143,1),(197,1),(208,1),(247,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(56,1),(63,1),(73,1),(115,1),(127,1),(138,1),(183,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(66,1),(130,1),(204,1),(263,1)}
        41:{1,2,4,6,7}:{(24,1),(30,1),(67,1),(68,1),(121,1),(132,1),(189,1),(199,1),(262,1)}
        42:{2,3,5,6}:{(23,1),(59,1),(65,1),(69,1),(78,1),(181,1)}
        43:{1,4,5,6}:{(23,1),(66,1),(69,1),(207,1),(298,1)}
        44:{1,2,5,6}:{(24,1),(32,1),(67,1),(71,1),(124,1),(193,1),(298,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(60,1),(259,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(61,1),(72,1),(132,1),(191,1),(198,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(29,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(73,1),(75,1),(132,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(68,1),(76,1),(138,1),(190,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(71,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(39,1),(83,1),(84,1),(93,1),(144,1)}
        58:{2,3,4,5,7}:{(37,1),(85,1),(86,1),(87,1),(144,1),(176,1),(223,1),(238,1),(299,1),(303,1),(312,1)}
        59:{2,3,4,6}:{(37,1),(42,1),(87,1),(89,1),(109,1),(172,1),(216,1),(229,1)}
        60:{2,3,6}:{(36,1),(45,1),(91,1),(306,1)}
        61:{2,4,7}:{(36,1),(46,1),(91,1),(232,1)}
        62:{1,3,4,5}:{(37,1),(89,1),(92,1),(161,1),(240,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(40,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(42,1),(87,1),(93,1),(96,1),(106,1),(213,1)}
        66:{1,4,5,7}:{(40,1),(43,1),(94,1),(96,1),(237,1),(283,1)}
        67:{1,2,5,7}:{(41,1),(44,1),(50,1),(98,1),(156,1),(283,1)}
        68:{1,3,6,7}:{(41,1),(45,1),(51,1),(88,1),(98,1),(225,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(89,1),(96,1),(100,1)}
        70:{1,2,4,5,6}:{(43,1),(44,1),(52,1),(97,1),(100,1),(101,1),(102,1),(147,1),(157,1),(160,1),(172,1),(214,1),(228,1),(236,1),(240,1),(271,1),(282,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(53,1),(90,1),(98,1),(102,1),(103,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(91,1),(102,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(50,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(104,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(98,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(99,1),(107,1),(108,1),(174,1),(177,1),(226,1),(234,1),(281,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(102,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(103,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(64,1),(115,1),(116,1),(127,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(62,1),(117,1),(118,1),(119,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(119,1),(140,1),(204,1),(244,1),(256,1)}
        88:{2,3,6,7}:{(60,1),(68,1),(120,1),(121,1),(256,1),(259,1)}
        89:{1,3,4,6}:{(59,1),(62,1),(69,1),(119,1),(122,1),(194,1),(207,1)}
        90:{2,3,5,6}:{(60,1),(71,1),(120,1),(123,1),(124,1),(193,1),(196,1),(259,1)}
        91:{2,4,6}:{(60,1),(61,1),(72,1),(124,1)}
        92:{2,4,5}:{(62,1),(122,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(183,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(66,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(67,1),(74,1),(116,1),(128,1),(129,1),(193,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(119,1),(127,1),(130,1)}
        97:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(128,1),(130,1),(131,1),(132,1),(179,1),(189,1),(192,1),(202,1),(204,1),(242,1),(263,1),(265,1),(287,1),(296,1),(308,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(76,1),(120,1),(132,1)}
        99:{1,3,4,6,7}:{(68,1),(72,1),(77,1),(121,1),(132,1),(133,1),(191,1),(206,1),(257,1),(259,1),(262,1),(297,1)}
       100:{2,5,6}:{(69,1),(122,1),(130,1)}
       101:{1,3,5,6}:{(70,1),(78,1),(131,1),(135,1),(136,1),(181,1),(194,1),(196,1),(259,1),(261,1),(297,1),(310,1),(314,1)}
       102:{1,4,6}:{(71,1),(79,1),(123,1),(132,1),(137,1)}
       103:{1,3,5}:{(72,1),(80,1),(124,1),(137,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(76,1),(129,1),(138,1),(139,1),(142,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(78,1),(138,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(132,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(133,1),(141,1),(142,1),(209,1),(263,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(137,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(241,1),(284,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(148,1),(174,1),(234,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(163,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(92,1),(151,1),(153,1),(154,1),(212,1),(268,1),(272,1)}
       119:{1,3,4,7}:{(87,1),(89,1),(96,1),(154,1),(225,1),(237,1)}
       120:{2,3,5,7}:{(88,1),(90,1),(98,1),(155,1),(156,1),(227,1)}
       121:{2,4,6,7}:{(88,1),(91,1),(99,1),(155,1),(156,1),(228,1),(279,1),(306,1)}
       122:{2,4,6}:{(89,1),(92,1),(100,1),(154,1),(158,1)}
       123:{2,4,6}:{(90,1),(102,1),(155,1),(159,1),(160,1)}
       124:{2,5}:{(91,1),(103,1)}
       125:{1,2,4,5}:{(92,1),(157,1),(161,1),(232,1),(240,1),(282,1)}
       126:{2,3,5}:{(92,1),(158,1),(161,1),(162,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(97,1),(104,1),(149,1),(163,1),(164,1),(165,1),(228,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(98,1),(105,1),(150,1),(164,1),(165,1),(170,1),(233,1),(235,1),(267,1),(283,1),(305,1)}
       130:{2,5,7}:{(96,1),(100,1),(154,1),(163,1)}
       131:{1,3,5,7}:{(97,1),(101,1),(106,1),(164,1),(167,1),(168,1),(213,1),(225,1),(227,1),(312,1)}
       132:{1,4,7}:{(98,1),(102,1),(107,1),(155,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(108,1),(156,1),(169,1),(170,1),(227,1),(283,1)}
       134:{1,2,5,6}:{(100,1),(157,1),(166,1),(171,1),(282,1),(306,1)}
       135:{2,3,5,6}:{(100,1),(101,1),(158,1),(167,1),(171,1),(172,1),(229,1),(231,1),(281,1),(282,1),(284,1),(306,1)}
       136:{1,3,4,6}:{(101,1),(102,1),(109,1),(159,1),(168,1),(172,1),(173,1),(216,1),(271,1),(302,1)}
       137:{1,4,5}:{(102,1),(103,1),(110,1),(160,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(107,1),(165,1),(174,1),(175,1),(177,1),(299,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(169,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(170,1),(177,1),(241,1),(281,1),(284,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(298,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(127,1),(178,1),(182,1),(183,1),(244,1),(248,1),(262,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(120,1),(129,1),(183,1),(184,1),(193,1),(200,1),(243,1),(250,1),(259,1),(263,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(125,1),(185,1),(187,1),(189,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(296,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(126,1),(186,1),(187,1),(188,1),(190,1),(254,1)}
       154:{2,4,7}:{(119,1),(122,1),(130,1),(190,1)}
       155:{2,4,7}:{(120,1),(123,1),(132,1),(191,1)}
       156:{2,5,7}:{(121,1),(124,1),(133,1),(193,1)}
       157:{1,2,4,6}:{(122,1),(125,1),(134,1),(189,1),(194,1),(207,1),(260,1)}
       158:{2,3,6}:{(122,1),(126,1),(190,1),(194,1)}
       159:{3,4,6}:{(123,1),(191,1),(196,1),(259,1)}
       160:{2,4,5}:{(123,1),(124,1),(137,1),(196,1)}
       161:{1,3,5}:{(125,1),(126,1),(194,1),(197,1),(198,1)}
       162:{2,3,4}:{(126,1),(198,1)}
       163:{2,6,7}:{(127,1),(130,1)}
       164:{1,3,6,7}:{(128,1),(131,1),(138,1),(183,1),(200,1),(259,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(132,1),(139,1),(184,1),(202,1),(206,1),(287,1),(309,1)}
       166:{1,2,5,7}:{(130,1),(134,1),(189,1),(199,1),(203,1),(296,1)}
       167:{2,3,5,7}:{(130,1),(131,1),(135,1),(190,1),(200,1),(203,1),(204,1),(256,1),(263,1),(296,1)}
       168:{1,3,4,7}:{(131,1),(132,1),(136,1),(140,1),(191,1),(204,1),(244,1),(287,1),(307,1)}
       169:{1,4,5,7}:{(132,1),(133,1),(137,1),(141,1),(192,1),(206,1)}
       170:{1,3,5,6}:{(133,1),(142,1),(193,1),(206,1),(259,1),(297,1),(298,1)}
       171:{1,3,5,6}:{(134,1),(135,1),(194,1),(203,1),(207,1),(261,1),(297,1),(298,1)}
       172:{2,4,6}:{(135,1),(136,1),(204,1),(207,1),(208,1)}
       173:{1,3,4,5}:{(136,1),(137,1),(143,1),(196,1),(208,1),(247,1),(261,1),(291,1),(310,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(209,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(206,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(283,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(163,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(155,1),(165,1),(219,1),(220,1),(228,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(161,1),(221,1),(223,1),(224,1),(225,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(162,1),(222,1),(224,1),(268,1)}
       189:{1,2,4,7}:{(154,1),(157,1),(166,1),(225,1),(237,1),(279,1)}
       190:{2,3,7}:{(154,1),(158,1),(225,1)}
       191:{3,4,7}:{(155,1),(159,1),(227,1)}
       192:{2,4,5,7}:{(155,1),(156,1),(160,1),(169,1),(227,1),(228,1)}
       193:{2,5,6}:{(156,1),(170,1),(228,1),(306,1)}
       194:{1,3,6}:{(157,1),(158,1),(161,1),(225,1),(229,1)}
       195:{2,3,4,6}:{(158,1),(159,1),(162,1),(172,1),(226,1),(230,1),(231,1),(281,1),(302,1)}
       196:{3,5}:{(159,1),(160,1)}
       197:{2,3,5}:{(161,1),(229,1),(232,1),(282,1)}
       198:{1,3,4}:{(161,1),(162,1),(232,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(167,1),(233,1),(234,1),(281,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(168,1),(174,1),(219,1),(234,1),(235,1),(239,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(220,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(171,1),(225,1),(233,1),(237,1),(283,1)}
       204:{2,4,7}:{(167,1),(168,1),(172,1),(237,1)}
       205:{1,3,4,5,7}:{(168,1),(169,1),(173,1),(176,1),(227,1),(235,1),(238,1),(239,1),(269,1),(280,1),(300,1),(312,1)}
       206:{1,4,6}:{(169,1),(170,1),(177,1),(228,1)}
       207:{1,4,6}:{(171,1),(172,1),(237,1),(240,1)}
       208:{2,4,5}:{(172,1),(173,1),(231,1),(240,1),(282,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(298,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(199,1),(242,1),(248,1),(262,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(190,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(191,1),(244,1),(250,1),(259,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(202,1),(250,1),(251,1),(263,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(197,1),(252,1),(255,1),(256,1),(295,1),(296,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(198,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,7}:{(189,1),(190,1),(194,1),(256,1)}
       226:{2,3,4,7}:{(190,1),(191,1),(195,1),(204,1),(257,1),(258,1),(307,1)}
       227:{3,5,7}:{(191,1),(192,1),(196,1),(259,1)}
       228:{2,4,6}:{(192,1),(193,1),(206,1),(259,1)}
       229:{2,3,6}:{(194,1),(197,1),(256,1),(260,1)}
       230:{1,3,4,6}:{(194,1),(195,1),(198,1),(207,1),(257,1),(260,1),(261,1),(297,1)}
       231:{2,3,5}:{(195,1),(196,1),(208,1),(261,1),(310,1)}
       232:{2,4}:{(197,1),(198,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(204,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(250,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(206,1),(210,1),(251,1),(264,1),(298,1),(309,1)}
       237:{1,4,7}:{(203,1),(204,1),(207,1)}
       238:{2,4,5,7}:{(204,1),(205,1),(208,1),(258,1),(263,1),(265,1),(266,1),(296,1)}
       239:{1,3,4,6}:{(205,1),(206,1),(211,1),(259,1),(264,1),(266,1),(289,1),(297,1),(309,1),(314,1)}
       240:{1,4,5}:{(207,1),(208,1),(261,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(283,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(225,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(234,1),(268,1),(274,1),(275,1),(281,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(236,1),(276,1),(284,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(232,1),(277,1)}
       256:{2,3,7}:{(225,1),(229,1),(279,1)}
       257:{1,3,4,7}:{(225,1),(226,1),(230,1),(237,1),(279,1),(280,1)}
       258:{2,3,5,7}:{(226,1),(227,1),(231,1),(238,1),(280,1),(281,1),(312,1)}
       259:{3,6}:{(227,1),(228,1)}
       260:{2,4,6}:{(229,1),(230,1),(232,1),(279,1),(282,1),(306,1)}
       261:{1,3,5}:{(230,1),(231,1),(240,1),(282,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(239,1),(241,1),(276,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(240,1),(280,1),(283,1),(285,1)}
       266:{2,4,6}:{(238,1),(239,1),(281,1),(284,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(256,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(257,1),(262,1),(287,1),(292,1),(293,1),(297,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(263,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(259,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{2,4,7}:{(256,1),(257,1),(260,1),(296,1)}
       280:{1,3,5,7}:{(257,1),(258,1),(261,1),(265,1),(296,1),(297,1)}
       281:{2,3,6}:{(258,1),(259,1),(266,1),(297,1),(314,1)}
       282:{2,5}:{(260,1),(261,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(279,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(283,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(281,1),(284,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{2,5,7}:{(279,1),(280,1),(282,1),(306,1)}
       297:{1,3,6}:{(280,1),(281,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(297,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2231 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(42,1),(101,1),(128,1),(175,1),(178,1),(184,1),(210,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(26,1),(29,1),(232,1),(233,1),(242,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(38,1),(77,1),(92,1),(149,1),(167,1),(169,1),(229,1),(255,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(68,1),(138,1),(217,1),(228,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(286,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(48,1),(277,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(126,1),(300,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(60,1),(61,1),(126,1),(212,1),(298,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(48,1),(111,1),(127,1),(274,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(56,1),(99,1),(178,1),(206,1),(210,1),(261,1),(273,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(260,1),(272,1)}
        11:{1,2,3,6,7}:{(5,1),(24,1),(25,1),(75,1),(144,1),(230,1),(233,1),(320,1),(321,1),(383,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(149,1),(327,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(26,1),(28,1),(29,1),(67,1),(77,1),(78,1),(149,1),(229,1),(232,1),(239,1),(325,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(27,1),(29,1)}
        15:{1,2,3,5,6}:{(5,1),(25,1),(29,1),(30,1),(71,1),(76,1),(80,1),(144,1),(153,1),(241,1),(242,1),(321,1),(326,1),(382,1),(385,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(26,1),(34,1),(35,1),(257,1),(337,1)}
        17:{2,3,4,6}:{(6,1),(27,1),(34,1),(35,1),(91,1)}
        18:{2,4,6}:{(7,1),(8,1),(34,1),(37,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(36,1),(38,1),(75,1),(86,1),(149,1),(162,1),(167,1),(253,1),(255,1),(317,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(37,1),(38,1),(39,1),(94,1),(316,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(38,1),(40,1),(303,1),(315,1)}
        22:{2,4,5,6}:{(10,1),(39,1),(40,1),(41,1),(138,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(178,1),(351,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(105,1),(188,1),(273,1),(277,1),(358,1)}
        25:{1,2,3,5,7}:{(11,1),(15,1),(45,1),(46,1),(106,1),(110,1),(195,1),(285,1),(360,1),(401,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(16,1),(42,1),(48,1),(49,1),(284,1),(360,1)}
        27:{1,3,4,6}:{(12,1),(14,1),(17,1),(43,1),(48,1),(49,1),(111,1)}
        28:{1,2,4,6}:{(13,1),(18,1),(48,1),(51,1),(98,1),(111,1),(274,1),(277,1)}
        29:{1,2,5}:{(14,1),(49,1)}
        30:{1,2,4,6}:{(15,1),(46,1),(52,1),(53,1),(111,1),(193,1),(286,1),(402,1)}
        31:{2,3,4,6,7}:{(17,1),(44,1),(54,1),(58,1),(107,1),(120,1),(126,1),(186,1),(203,1),(273,1),(398,1),(399,1),(422,1)}
        32:{2,3,5,6,7}:{(21,1),(55,1),(56,1),(118,1),(200,1),(206,1)}
        33:{2,3,4,5,7}:{(16,1),(47,1),(57,1),(60,1),(121,1),(124,1),(126,1),(180,1),(184,1),(267,1)}
        34:{2,3,6}:{(16,1),(18,1),(48,1)}
        35:{2,3,5}:{(17,1),(49,1),(60,1)}
        36:{2,4,6,7}:{(18,1),(19,1),(58,1),(61,1),(126,1),(297,1),(298,1)}
        37:{2,5,6}:{(18,1),(20,1),(61,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(61,1),(63,1),(129,1),(353,1)}
        39:{1,4,5,6}:{(20,1),(22,1),(62,1),(63,1),(111,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(56,1),(63,1),(65,1),(178,1)}
        41:{3,4,5,6}:{(22,1),(65,1),(179,1),(260,1)}
        42:{2,3,5,7}:{(23,1),(26,1),(67,1),(68,1),(69,1),(313,1),(379,1)}
        43:{2,3,4,6}:{(23,1),(27,1),(68,1),(69,1),(138,1)}
        44:{1,3,4,6,7}:{(24,1),(27,1),(31,1),(66,1),(70,1),(73,1),(75,1),(141,1),(144,1),(146,1),(149,1),(231,1),(317,1),(383,1),(384,1),(415,1)}
        45:{1,2,5,7}:{(24,1),(29,1),(70,1),(71,1),(315,1),(385,1)}
        46:{1,2,4,7}:{(25,1),(30,1),(73,1),(149,1),(237,1),(415,1)}
        47:{1,3,4,5,7}:{(26,1),(33,1),(67,1),(74,1),(77,1),(139,1),(147,1),(149,1),(222,1),(224,1),(229,1),(311,1)}
        48:{1,3,6}:{(26,1),(28,1),(34,1),(68,1)}
        49:{1,3,5}:{(27,1),(29,1),(35,1),(69,1),(77,1)}
        50:{1,2,4,6,7}:{(28,1),(36,1),(75,1),(78,1),(135,1),(149,1),(317,1),(320,1),(325,1)}
        51:{1,2,5,6}:{(28,1),(29,1),(37,1),(76,1),(78,1),(136,1),(316,1)}
        52:{1,2,4,5}:{(29,1),(30,1),(77,1),(80,1),(151,1),(385,1),(416,1)}
        53:{1,3,4,6}:{(30,1),(73,1),(80,1),(81,1),(144,1),(326,1),(327,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(70,1),(83,1),(84,1),(248,1),(315,1),(414,1)}
        55:{1,3,5,6,7}:{(32,1),(38,1),(85,1),(86,1),(162,1),(246,1),(253,1)}
        56:{2,4,6,7}:{(32,1),(40,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(34,1),(74,1),(89,1),(91,1),(160,1),(228,1)}
        58:{2,3,6,7}:{(34,1),(36,1),(75,1),(90,1),(162,1),(337,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(37,1),(76,1),(90,1),(91,1),(94,1)}
        60:{2,4,5}:{(35,1),(77,1),(91,1),(92,1)}
        61:{2,5,7}:{(36,1),(37,1),(38,1)}
        62:{2,4,5,6}:{(37,1),(39,1),(91,1),(93,1),(94,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(40,1),(86,1),(93,1),(149,1)}
        64:{1,3,4,5,6}:{(39,1),(41,1),(94,1),(95,1),(96,1),(150,1),(171,1),(226,1),(243,1),(329,1),(387,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(222,1),(303,1)}
        66:{2,3,4,6,7}:{(43,1),(44,1),(97,1),(99,1),(107,1),(174,1),(178,1),(186,1),(261,1),(273,1),(366,1),(367,1),(406,1)}
        67:{2,4,5,7}:{(42,1),(47,1),(98,1),(101,1),(176,1),(178,1),(269,1),(349,1)}
        68:{2,3,6}:{(42,1),(48,1),(98,1)}
        69:{2,3,5}:{(43,1),(49,1),(101,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(49,1),(54,1),(97,1),(102,1),(103,1),(353,1),(403,1)}
        71:{1,2,5,6}:{(45,1),(102,1),(105,1),(272,1),(277,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(103,1),(105,1),(106,1),(184,1)}
        73:{1,3,4,7}:{(46,1),(53,1),(106,1),(107,1),(360,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(57,1),(98,1),(109,1),(111,1),(179,1),(274,1)}
        75:{1,3,6,7}:{(48,1),(50,1),(58,1),(99,1),(110,1),(360,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(51,1),(59,1),(100,1),(110,1),(111,1)}
        77:{1,4,5}:{(49,1),(60,1),(101,1),(111,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(61,1),(110,1),(176,1),(353,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(62,1),(105,1),(111,1),(113,1),(114,1),(132,1),(177,1),(181,1),(193,1),(214,1),(272,1),(281,1),(283,1),(348,1),(354,1),(362,1),(394,1),(402,1)}
        80:{1,3,5}:{(52,1),(53,1),(115,1)}
        81:{2,3,4,6}:{(53,1),(107,1),(115,1),(116,1),(186,1),(193,1),(299,1),(300,1),(350,1),(351,1)}
        82:{2,4,5,6,7}:{(56,1),(117,1),(118,1),(200,1),(259,1),(363,1)}
        83:{2,3,5,6}:{(54,1),(102,1),(120,1),(186,1),(202,1),(272,1)}
        84:{2,4,5,7}:{(54,1),(60,1),(103,1),(120,1),(121,1),(126,1),(422,1),(423,1)}
        85:{2,5,6,7}:{(55,1),(61,1),(122,1),(297,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(63,1),(122,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(118,1)}
        88:{2,3,4,6,7}:{(57,1),(58,1),(108,1),(124,1),(126,1),(203,1),(208,1),(267,1),(273,1),(346,1)}
        89:{2,3,5,6}:{(57,1),(109,1),(124,1),(125,1),(202,1),(272,1)}
        90:{2,3,5,7}:{(58,1),(59,1),(61,1),(110,1),(126,1),(129,1)}
        91:{2,4,6}:{(59,1),(60,1),(111,1),(126,1),(127,1)}
        92:{3,4,5}:{(60,1),(127,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(63,1),(122,1),(126,1),(129,1)}
        94:{3,5,6}:{(62,1),(127,1),(129,1)}
        95:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(123,1),(129,1),(131,1),(192,1),(213,1),(271,1),(287,1),(361,1),(404,1)}
        96:{2,4,5,6}:{(64,1),(130,1),(131,1),(132,1),(193,1),(214,1),(272,1)}
        97:{2,3,5,7}:{(66,1),(69,1),(70,1),(133,1),(134,1),(303,1),(315,1),(391,1)}
        98:{2,4,6}:{(67,1),(68,1),(74,1),(136,1)}
        99:{2,3,6,7}:{(68,1),(75,1),(135,1),(137,1),(308,1),(379,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(137,1),(138,1),(221,1)}
       101:{2,4,5}:{(69,1),(77,1),(138,1),(139,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(83,1),(133,1),(141,1),(144,1),(231,1),(316,1)}
       103:{1,4,5,7}:{(70,1),(77,1),(84,1),(134,1),(141,1),(149,1),(415,1),(416,1)}
       104:{1,2,5,6,7}:{(71,1),(78,1),(85,1),(140,1),(143,1),(219,1),(246,1),(315,1),(320,1),(331,1),(380,1),(381,1),(411,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(141,1),(144,1),(228,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(80,1),(144,1),(145,1)}
       107:{2,3,4,7}:{(73,1),(81,1),(145,1),(146,1),(237,1),(337,1),(379,1)}
       108:{1,3,4,6,7}:{(74,1),(75,1),(88,1),(135,1),(147,1),(149,1),(222,1),(234,1),(308,1),(311,1),(317,1),(377,1)}
       109:{1,3,5,6}:{(74,1),(89,1),(136,1),(147,1),(148,1),(221,1),(316,1)}
       110:{1,3,5,7}:{(75,1),(76,1),(78,1),(90,1),(137,1),(149,1)}
       111:{1,4,6}:{(76,1),(77,1),(91,1),(138,1),(149,1)}
       112:{1,3,4,5}:{(77,1),(80,1),(92,1),(139,1),(150,1),(151,1),(416,1),(418,1),(426,1)}
       113:{1,2,4,5,7}:{(78,1),(79,1),(93,1),(143,1),(149,1),(152,1),(172,1),(220,1),(225,1),(237,1),(258,1),(315,1),(324,1),(325,1),(378,1),(381,1),(386,1),(409,1),(415,1)}
       114:{1,3,5,6}:{(79,1),(80,1),(94,1),(144,1),(150,1),(152,1),(153,1),(221,1),(326,1),(387,1),(410,1)}
       115:{2,3,5}:{(80,1),(81,1),(151,1),(154,1)}
       116:{1,3,4,6}:{(81,1),(146,1),(154,1),(155,1),(231,1),(238,1),(326,1),(327,1)}
       117:{1,4,5,6,7}:{(82,1),(86,1),(156,1),(157,1),(225,1),(246,1),(330,1)}
       118:{3,5,6,7}:{(82,1),(87,1),(303,1),(388,1)}
       119:{2,3,5,6,7}:{(83,1),(85,1),(90,1),(140,1),(159,1),(162,1),(230,1),(248,1),(315,1),(411,1),(412,1),(424,1)}
       120:{2,4,6}:{(83,1),(84,1),(141,1),(160,1)}
       121:{3,4,5,7}:{(84,1),(92,1),(160,1),(167,1),(248,1),(425,1),(426,1)}
       122:{2,4,6,7}:{(85,1),(86,1),(93,1),(162,1)}
       123:{1,3,4,6,7}:{(86,1),(87,1),(95,1),(157,1),(162,1),(163,1),(244,1),(253,1),(330,1),(388,1)}
       124:{2,3,5,7}:{(88,1),(89,1),(147,1),(165,1),(248,1),(315,1)}
       125:{2,4,5,6}:{(89,1),(91,1),(148,1),(165,1),(166,1)}
       126:{2,4,7}:{(90,1),(91,1),(149,1),(167,1)}
       127:{3,4,6}:{(91,1),(92,1),(94,1),(167,1)}
       128:{2,3,4,5}:{(92,1),(151,1),(168,1),(169,1),(313,1),(418,1)}
       129:{3,5,7}:{(93,1),(94,1),(162,1),(167,1)}
       130:{2,3,5,6}:{(94,1),(96,1),(168,1),(170,1),(171,1),(387,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(163,1),(170,1),(172,1),(237,1),(258,1),(315,1)}
       132:{1,4,5,6}:{(96,1),(171,1),(172,1),(238,1),(316,1)}
       133:{2,3,5,6}:{(97,1),(102,1),(174,1),(186,1),(260,1),(272,1)}
       134:{2,4,5,7}:{(97,1),(101,1),(103,1),(174,1),(175,1),(178,1),(406,1),(407,1)}
       135:{2,4,6,7}:{(98,1),(99,1),(108,1),(176,1),(178,1),(349,1),(400,1)}
       136:{2,5,6}:{(98,1),(109,1),(176,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(110,1),(176,1),(178,1),(265,1)}
       138:{2,4,6}:{(100,1),(101,1),(111,1),(178,1),(179,1)}
       139:{3,4,5}:{(101,1),(179,1)}
       140:{1,3,5,6,7}:{(102,1),(104,1),(110,1),(119,1),(173,1),(182,1),(185,1),(271,1),(276,1),(353,1),(401,1)}
       141:{1,4,6}:{(102,1),(103,1),(120,1),(174,1)}
       142:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(121,1),(175,1),(183,1),(184,1),(192,1),(271,1)}
       143:{1,2,4,6,7}:{(104,1),(105,1),(113,1),(122,1),(182,1),(185,1),(207,1),(264,1),(273,1),(297,1),(359,1),(363,1),(400,1),(419,1)}
       144:{1,3,6}:{(105,1),(106,1),(186,1)}
       145:{2,3,5,7}:{(106,1),(107,1),(115,1),(184,1),(186,1),(187,1)}
       146:{1,3,4,7}:{(107,1),(116,1),(187,1),(188,1),(282,1),(360,1)}
       147:{1,3,5,7}:{(108,1),(109,1),(124,1),(176,1),(190,1),(265,1),(353,1)}
       148:{1,4,5,6}:{(109,1),(111,1),(125,1),(177,1),(190,1)}
       149:{1,4,7}:{(110,1),(111,1),(126,1),(178,1)}
       150:{1,3,4,6}:{(111,1),(112,1),(114,1),(127,1),(179,1),(192,1),(193,1),(402,1),(405,1),(421,1)}
       151:{2,4,5}:{(112,1),(115,1),(193,1),(194,1)}
       152:{1,3,5,7}:{(113,1),(114,1),(129,1),(185,1),(192,1),(195,1),(265,1),(360,1),(404,1),(420,1)}
       153:{2,3,5,6}:{(114,1),(115,1),(186,1),(193,1),(195,1),(196,1),(214,1),(272,1),(299,1),(348,1),(350,1)}
       154:{1,3,5}:{(115,1),(116,1),(194,1),(197,1)}
       155:{1,2,4,6}:{(116,1),(188,1),(197,1),(198,1),(277,1),(286,1)}
       156:{2,4,5,6,7}:{(117,1),(122,1),(199,1),(200,1),(201,1),(289,1)}
       157:{1,3,5,6,7}:{(117,1),(118,1),(123,1),(199,1),(200,1),(271,1)}
       158:{2,4,5,6}:{(120,1),(181,1),(201,1),(202,1),(272,1)}
       159:{2,4,6,7}:{(119,1),(120,1),(126,1),(182,1),(201,1),(203,1),(422,1)}
       160:{3,4,6}:{(120,1),(121,1),(202,1)}
       161:{2,3,4,5,7}:{(121,1),(128,1),(184,1),(204,1),(205,1),(210,1),(292,1),(345,1),(422,1),(423,1)}
       162:{3,6,7}:{(122,1),(129,1)}
       163:{2,4,6,7}:{(123,1),(131,1),(200,1),(206,1),(207,1),(297,1)}
       164:{2,3,5,6,7}:{(124,1),(189,1),(208,1),(291,1),(346,1),(352,1)}
       165:{2,4,5,7}:{(124,1),(125,1),(126,1),(190,1),(208,1),(209,1)}
       166:{3,4,5,6}:{(125,1),(127,1),(202,1),(209,1)}
       167:{3,4,7}:{(126,1),(127,1),(129,1)}
       168:{2,3,4,6}:{(127,1),(128,1),(130,1),(193,1),(210,1),(211,1),(350,1),(405,1)}
       169:{1,3,4,5}:{(128,1),(194,1),(211,1),(212,1),(284,1)}
       170:{2,3,5,7}:{(129,1),(130,1),(131,1),(206,1),(210,1),(213,1),(404,1)}
       171:{1,3,5,6}:{(130,1),(132,1),(211,1),(213,1),(214,1)}
       172:{1,4,5,7}:{(131,1),(132,1),(207,1),(213,1),(282,1),(353,1)}
       173:{2,3,5,6,7}:{(133,1),(137,1),(140,1),(216,1),(219,1),(230,1),(303,1),(308,1),(315,1),(331,1),(388,1),(389,1)}
       174:{2,4,6}:{(133,1),(134,1),(141,1),(217,1)}
       175:{3,4,5,7}:{(134,1),(139,1),(217,1),(222,1),(303,1),(417,1),(418,1)}
       176:{2,5,7}:{(135,1),(136,1),(147,1)}
       177:{2,4,5,6}:{(136,1),(138,1),(148,1),(220,1),(221,1)}
       178:{2,4,7}:{(137,1),(138,1),(149,1),(222,1)}
       179:{3,4,6}:{(138,1),(139,1),(221,1),(222,1)}
       180:{2,3,4,5}:{(139,1),(151,1),(223,1),(224,1),(257,1),(426,1)}
       181:{1,4,5,6}:{(141,1),(158,1),(215,1),(225,1),(226,1),(316,1)}
       182:{1,4,6,7}:{(140,1),(141,1),(149,1),(159,1),(216,1),(225,1),(415,1)}
       183:{1,3,4,6}:{(141,1),(142,1),(144,1),(160,1),(217,1),(226,1),(228,1)}
       184:{2,4,5,7}:{(142,1),(145,1),(151,1),(228,1),(229,1),(237,1),(315,1)}
       185:{1,3,6,7}:{(143,1),(144,1),(152,1),(162,1),(230,1),(308,1),(388,1),(424,1)}
       186:{2,3,6}:{(144,1),(145,1),(228,1),(231,1)}
       187:{1,3,5,7}:{(145,1),(146,1),(154,1),(229,1),(231,1),(232,1)}
       188:{1,2,4,7}:{(146,1),(155,1),(232,1),(233,1)}
       189:{1,3,5,6,7}:{(147,1),(164,1),(219,1),(234,1),(308,1),(377,1),(380,1)}
       190:{1,4,5,7}:{(147,1),(148,1),(149,1),(165,1),(220,1),(234,1)}
       191:{1,3,4,5,6}:{(148,1),(150,1),(166,1),(221,1),(226,1),(235,1),(236,1),(301,1),(310,1),(370,1),(410,1)}
       192:{1,3,4,7}:{(149,1),(150,1),(152,1),(167,1),(222,1),(237,1),(415,1),(417,1),(425,1)}
       193:{2,4,6}:{(150,1),(151,1),(153,1),(237,1),(238,1)}
       194:{1,4,5}:{(151,1),(154,1),(238,1)}
       195:{2,3,5,7}:{(152,1),(153,1),(230,1),(237,1),(240,1),(258,1),(315,1),(337,1),(378,1),(379,1)}
       196:{1,3,5,6}:{(153,1),(154,1),(231,1),(238,1),(240,1),(241,1),(316,1),(326,1)}
       197:{1,2,5}:{(154,1),(155,1)}
       198:{1,2,3,6}:{(155,1),(233,1),(242,1),(326,1)}
       199:{3,5,6,7}:{(156,1),(162,1),(244,1),(248,1)}
       200:{2,5,6,7}:{(157,1),(163,1),(246,1),(315,1)}
       201:{2,4,5,7}:{(158,1),(159,1),(225,1),(248,1),(315,1)}
       202:{3,5,6}:{(158,1),(160,1),(248,1)}
       203:{3,4,6,7}:{(159,1),(160,1),(162,1),(167,1),(248,1),(424,1),(425,1)}
       204:{2,3,4,6}:{(160,1),(161,1),(228,1),(249,1),(251,1),(375,1),(413,1)}
       205:{1,3,4,5,7}:{(161,1),(169,1),(229,1),(251,1),(252,1),(255,1),(319,1),(332,1),(415,1),(416,1),(417,1),(418,1)}
       206:{2,3,6,7}:{(162,1),(163,1),(170,1),(253,1),(388,1)}
       207:{1,4,6,7}:{(163,1),(172,1),(246,1),(253,1)}
       208:{2,4,6,7}:{(164,1),(165,1),(234,1),(254,1)}
       209:{3,4,5,7}:{(165,1),(166,1),(167,1),(248,1),(254,1)}
       210:{2,3,4,7}:{(167,1),(168,1),(170,1),(237,1),(255,1),(379,1),(417,1)}
       211:{1,3,4,6}:{(168,1),(169,1),(171,1),(238,1),(255,1),(256,1),(326,1)}
       212:{2,4,5}:{(169,1),(256,1),(257,1)}
       213:{1,3,5,7}:{(170,1),(171,1),(172,1),(253,1),(255,1),(258,1)}
       214:{2,5,6}:{(171,1),(256,1),(258,1)}
       215:{2,4,5,6}:{(174,1),(181,1),(259,1),(260,1),(272,1)}
       216:{2,4,6,7}:{(173,1),(174,1),(178,1),(182,1),(259,1),(261,1),(406,1)}
       217:{3,4,6}:{(174,1),(175,1),(260,1)}
       218:{2,3,4,5,7}:{(175,1),(180,1),(184,1),(262,1),(263,1),(267,1),(296,1),(341,1),(406,1),(407,1)}
       219:{2,5,6,7}:{(176,1),(189,1),(264,1),(400,1)}
       220:{2,4,5,7}:{(176,1),(177,1),(178,1),(190,1),(264,1),(265,1)}
       221:{3,5,6}:{(177,1),(179,1),(265,1)}
       222:{3,4,7}:{(178,1),(179,1),(265,1)}
       223:{2,3,4,6}:{(179,1),(180,1),(193,1),(266,1),(267,1),(268,1),(299,1),(421,1)}
       224:{1,3,4,5}:{(180,1),(194,1),(268,1),(269,1),(284,1)}
       225:{1,4,5,7}:{(181,1),(182,1),(201,1),(259,1),(271,1),(353,1)}
       226:{1,3,5,6}:{(181,1),(183,1),(202,1),(260,1),(271,1),(272,1)}
       227:{1,3,4,6,7}:{(182,1),(183,1),(185,1),(192,1),(203,1),(261,1),(271,1),(273,1)}
       228:{2,4,6}:{(183,1),(184,1),(186,1),(272,1),(274,1)}
       229:{1,4,5,7}:{(184,1),(187,1),(194,1),(274,1),(282,1),(353,1)}
       230:{2,3,6,7}:{(185,1),(186,1),(195,1),(273,1),(276,1),(297,1),(400,1)}
       231:{1,3,6}:{(186,1),(187,1),(274,1),(277,1)}
       232:{1,2,5,7}:{(187,1),(188,1),(197,1),(277,1)}
       233:{1,2,3,7}:{(188,1),(198,1),(360,1)}
       234:{1,4,6,7}:{(189,1),(190,1),(208,1),(264,1)}
       235:{1,3,4,5,7}:{(190,1),(191,1),(192,1),(209,1),(265,1),(271,1),(279,1),(280,1),(338,1),(347,1),(393,1),(420,1)}
       236:{2,4,5,6}:{(191,1),(193,1),(266,1),(272,1),(280,1),(281,1),(348,1)}
       237:{2,4,7}:{(192,1),(193,1),(195,1),(282,1)}
       238:{1,4,6}:{(193,1),(194,1),(196,1),(282,1)}
       239:{1,2,4,5}:{(194,1),(197,1),(212,1),(269,1),(283,1),(284,1),(286,1)}
       240:{1,3,5,7}:{(195,1),(196,1),(276,1),(282,1),(285,1),(353,1),(360,1)}
       241:{1,2,5,6}:{(196,1),(197,1),(214,1),(277,1),(283,1),(285,1),(348,1)}
       242:{1,2,3,5}:{(197,1),(198,1),(284,1),(286,1)}
       243:{3,4,5,6}:{(202,1),(287,1),(288,1),(421,1)}
       244:{3,4,6,7}:{(199,1),(287,1),(289,1)}
       245:{2,3,5,6,7}:{(199,1),(200,1),(206,1),(289,1),(290,1),(292,1)}
       246:{1,5,6,7}:{(200,1),(207,1),(353,1)}
       247:{2,4,5,6,7}:{(201,1),(208,1),(270,1),(291,1),(352,1),(419,1)}
       248:{3,5,7}:{(201,1),(202,1),(203,1)}
       249:{2,3,5,6}:{(202,1),(204,1),(272,1),(288,1),(292,1),(293,1)}
       250:{2,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(273,1),(289,1),(292,1),(294,1),(398,1),(422,1)}
       251:{1,3,4,6}:{(204,1),(205,1),(274,1),(293,1),(295,1),(356,1),(402,1),(405,1)}
       252:{2,4,5,7}:{(205,1),(212,1),(295,1),(296,1),(298,1),(364,1),(406,1),(407,1)}
       253:{1,3,6,7}:{(206,1),(207,1),(213,1),(297,1)}
       254:{3,4,6,7}:{(208,1),(209,1),(291,1)}
       255:{1,3,4,7}:{(210,1),(211,1),(213,1),(282,1),(298,1),(360,1)}
       256:{2,4,6}:{(211,1),(212,1),(214,1),(298,1),(299,1)}
       257:{2,3,5}:{(212,1),(284,1),(299,1),(300,1)}
       258:{2,5,7}:{(213,1),(214,1),(297,1),(298,1)}
       259:{2,4,5,7}:{(215,1),(216,1),(225,1),(303,1),(315,1)}
       260:{3,5,6}:{(215,1),(217,1),(303,1)}
       261:{3,4,6,7}:{(216,1),(217,1),(222,1),(303,1),(308,1),(388,1),(417,1)}
       262:{2,3,4,6}:{(217,1),(218,1),(228,1),(304,1),(306,1),(335,1),(390,1)}
       263:{1,3,4,5,7}:{(218,1),(224,1),(229,1),(306,1),(307,1),(311,1),(319,1),(372,1),(415,1),(416,1),(425,1),(426,1)}
       264:{2,4,6,7}:{(219,1),(220,1),(234,1),(308,1)}
       265:{3,5,7}:{(220,1),(221,1),(222,1),(308,1)}
       266:{2,3,5,6}:{(221,1),(223,1),(236,1),(309,1),(310,1),(410,1)}
       267:{2,3,4,7}:{(222,1),(223,1),(237,1),(309,1),(311,1),(337,1),(425,1)}
       268:{1,3,4,6}:{(223,1),(224,1),(238,1),(310,1),(311,1),(312,1),(326,1)}
       269:{2,4,5}:{(224,1),(312,1),(313,1)}
       270:{1,4,5,6,7}:{(225,1),(234,1),(247,1),(302,1),(314,1),(380,1),(408,1)}
       271:{1,3,5,7}:{(225,1),(226,1),(227,1),(248,1),(303,1),(315,1)}
       272:{2,5,6}:{(226,1),(228,1),(315,1),(316,1)}
       273:{2,4,6,7}:{(227,1),(228,1),(230,1),(237,1),(315,1),(317,1)}
       274:{1,4,6}:{(228,1),(229,1),(231,1),(316,1)}
       275:{1,2,4,5,7}:{(229,1),(232,1),(239,1),(252,1),(307,1),(318,1),(319,1),(322,1),(325,1),(381,1),(385,1),(415,1),(416,1)}
       276:{1,3,6,7}:{(230,1),(231,1),(240,1),(317,1),(320,1)}
       277:{1,2,6}:{(231,1),(232,1)}
       278:{1,2,3,5,7}:{(232,1),(233,1),(242,1),(319,1),(321,1),(322,1),(385,1)}
       279:{1,3,4,6,7}:{(234,1),(235,1),(254,1),(308,1),(314,1),(323,1),(368,1),(377,1),(408,1),(424,1)}
       280:{2,4,5,7}:{(235,1),(236,1),(237,1),(309,1),(315,1),(323,1),(324,1),(378,1)}
       281:{1,4,5,6}:{(236,1),(238,1),(310,1),(316,1),(324,1)}
       282:{1,4,7}:{(237,1),(238,1),(240,1)}
       283:{1,2,4,6}:{(238,1),(239,1),(241,1),(256,1),(312,1),(325,1),(326,1)}
       284:{1,3,5}:{(239,1),(257,1),(313,1),(326,1),(327,1)}
       285:{1,2,5,7}:{(240,1),(241,1),(258,1),(320,1),(325,1),(378,1)}
       286:{1,2,4}:{(242,1),(327,1)}
       287:{3,4,5,7}:{(243,1),(244,1),(248,1),(328,1),(425,1)}
       288:{2,4,5,6}:{(243,1),(249,1),(328,1),(329,1),(413,1)}
       289:{2,4,6,7}:{(244,1),(245,1),(328,1),(330,1)}
       290:{1,3,5,6,7}:{(245,1),(246,1),(253,1),(330,1),(331,1),(332,1),(388,1)}
       291:{3,5,6,7}:{(247,1),(248,1),(254,1),(424,1)}
       292:{2,3,5,7}:{(248,1),(249,1),(250,1),(315,1),(328,1),(332,1)}
       293:{1,3,5,6}:{(249,1),(251,1),(316,1),(329,1),(332,1),(333,1),(387,1)}
       294:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(317,1),(330,1),(332,1),(334,1),(383,1),(388,1),(415,1),(417,1)}
       295:{2,4,6}:{(251,1),(252,1),(333,1),(335,1)}
       296:{2,3,5,7}:{(252,1),(257,1),(319,1),(335,1),(336,1),(337,1),(391,1)}
       297:{2,6,7}:{(253,1),(258,1)}
       298:{2,4,7}:{(255,1),(256,1),(258,1),(337,1)}
       299:{2,3,6}:{(256,1),(257,1),(326,1),(337,1)}
       300:{2,3,4}:{(257,1),(327,1)}
       301:{3,4,5,6}:{(260,1),(338,1),(339,1),(405,1)}
       302:{2,4,5,6,7}:{(259,1),(264,1),(270,1),(340,1),(352,1),(392,1)}
       303:{3,5,7}:{(259,1),(260,1),(261,1)}
       304:{2,3,5,6}:{(260,1),(262,1),(272,1),(339,1),(341,1),(342,1)}
       305:{2,3,4,6,7}:{(261,1),(262,1),(267,1),(273,1),(341,1),(343,1),(346,1),(366,1),(392,1),(406,1)}
       306:{1,3,4,6}:{(262,1),(263,1),(274,1),(342,1),(344,1),(356,1),(402,1),(421,1)}
       307:{2,4,5,7}:{(263,1),(269,1),(344,1),(345,1),(349,1),(396,1),(422,1),(423,1)}
       308:{3,6,7}:{(264,1),(265,1)}
       309:{2,3,5,7}:{(265,1),(266,1),(267,1),(280,1),(346,1),(347,1),(420,1)}
       310:{1,3,5,6}:{(266,1),(268,1),(281,1),(347,1),(348,1)}
       311:{1,3,4,7}:{(267,1),(268,1),(282,1),(347,1),(349,1),(360,1)}
       312:{2,4,6}:{(268,1),(269,1),(348,1),(349,1),(350,1)}
       313:{2,3,5}:{(269,1),(284,1),(350,1),(351,1)}
       314:{1,3,5,6,7}:{(270,1),(271,1),(279,1),(291,1),(340,1),(352,1)}
       315:{2,5,7}:{(271,1),(272,1),(273,1),(353,1)}
       316:{1,5,6}:{(272,1),(274,1),(353,1)}
       317:{1,4,6,7}:{(273,1),(274,1),(276,1),(282,1),(353,1)}
       318:{1,2,4,6}:{(274,1),(275,1),(277,1),(295,1),(344,1),(354,1),(356,1),(402,1)}
       319:{1,3,5,7}:{(275,1),(284,1),(296,1),(345,1),(356,1),(357,1),(360,1),(403,1)}
       320:{1,2,6,7}:{(276,1),(277,1),(285,1),(297,1),(400,1)}
       321:{1,2,3,6}:{(277,1),(278,1),(356,1),(358,1)}
       322:{1,2,4,7}:{(278,1),(286,1),(357,1),(358,1)}
       323:{2,4,6,7}:{(279,1),(280,1),(346,1),(352,1),(359,1),(400,1)}
       324:{1,4,5,7}:{(280,1),(281,1),(282,1),(347,1),(353,1),(359,1)}
       325:{1,2,4,7}:{(282,1),(283,1),(285,1),(298,1),(349,1),(360,1)}
       326:{1,3,6}:{(283,1),(284,1),(299,1),(350,1),(360,1)}
       327:{1,3,4}:{(284,1),(286,1),(300,1),(351,1)}
       328:{2,4,5,7}:{(287,1),(288,1),(289,1),(292,1),(361,1),(422,1)}
       329:{1,4,5,6}:{(288,1),(293,1),(361,1),(362,1),(402,1)}
       330:{1,4,6,7}:{(289,1),(290,1),(361,1),(363,1)}
       331:{2,5,6,7}:{(290,1),(297,1),(363,1),(364,1)}
       332:{1,3,5,7}:{(292,1),(293,1),(294,1),(353,1),(361,1),(364,1),(404,1)}
       333:{2,5,6}:{(293,1),(295,1),(364,1)}
       334:{2,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(364,1),(366,1),(406,1)}
       335:{2,3,6}:{(295,1),(296,1),(356,1)}
       336:{2,3,4,7}:{(296,1),(300,1),(357,1),(367,1),(406,1)}
       337:{2,3,7}:{(298,1),(299,1),(360,1)}
       338:{3,4,5,7}:{(301,1),(303,1),(368,1),(369,1),(417,1)}
       339:{2,4,5,6}:{(301,1),(304,1),(369,1),(370,1),(390,1)}
       340:{3,5,6,7}:{(302,1),(303,1),(308,1),(368,1)}
       341:{2,3,5,7}:{(303,1),(304,1),(305,1),(315,1),(369,1),(372,1)}
       342:{1,3,5,6}:{(304,1),(306,1),(316,1),(370,1),(372,1),(373,1),(410,1)}
       343:{1,3,4,6,7}:{(305,1),(306,1),(311,1),(317,1),(372,1),(374,1),(377,1),(383,1),(408,1),(415,1),(424,1),(425,1)}
       344:{2,4,6}:{(306,1),(307,1),(373,1),(375,1)}
       345:{2,3,5,7}:{(307,1),(313,1),(319,1),(375,1),(376,1),(379,1),(414,1)}
       346:{2,3,6,7}:{(308,1),(309,1),(323,1),(377,1),(424,1)}
       347:{1,3,5,7}:{(309,1),(310,1),(311,1),(324,1),(377,1),(378,1)}
       348:{2,5,6}:{(310,1),(312,1),(378,1)}
       349:{2,4,7}:{(311,1),(312,1),(378,1),(379,1)}
       350:{2,3,6}:{(312,1),(313,1),(326,1),(379,1)}
       351:{2,3,4}:{(313,1),(327,1)}
       352:{2,5,6,7}:{(314,1),(315,1),(323,1),(380,1)}
       353:{1,5,7}:{(315,1),(316,1),(317,1)}
       354:{1,2,5,6}:{(316,1),(318,1),(333,1),(373,1),(381,1),(382,1),(385,1)}
       355:{1,2,4,6,7}:{(317,1),(318,1),(320,1),(325,1),(334,1),(374,1),(381,1),(383,1),(415,1)}
       356:{1,3,6}:{(318,1),(319,1),(335,1),(375,1)}
       357:{1,3,4,7}:{(319,1),(322,1),(327,1),(336,1),(376,1),(384,1),(415,1)}
       358:{1,2,4,6}:{(321,1),(322,1),(384,1),(385,1)}
       359:{1,4,6,7}:{(323,1),(324,1),(377,1),(380,1)}
       360:{1,3,7}:{(325,1),(326,1),(337,1),(379,1)}
       361:{1,4,5,7}:{(328,1),(329,1),(330,1),(332,1),(386,1),(415,1)}
       362:{2,4,5,6}:{(329,1),(333,1),(386,1),(387,1),(390,1)}
       363:{2,4,6,7}:{(330,1),(331,1),(386,1),(388,1)}
       364:{2,5,7}:{(332,1),(333,1),(334,1)}
       365:{2,3,5,6}:{(333,1),(335,1),(382,1),(387,1),(389,1),(390,1),(391,1)}
       366:{2,3,6,7}:{(334,1),(335,1),(337,1),(383,1),(388,1),(389,1)}
       367:{2,3,4,6}:{(335,1),(336,1),(384,1),(390,1),(391,1)}
       368:{3,4,6,7}:{(338,1),(340,1),(392,1)}
       369:{2,4,5,7}:{(338,1),(339,1),(341,1),(392,1),(393,1),(406,1)}
       370:{1,4,5,6}:{(339,1),(342,1),(393,1),(394,1),(402,1)}
       371:{2,3,5,6,7}:{(340,1),(341,1),(346,1),(352,1),(392,1),(395,1)}
       372:{1,3,5,7}:{(341,1),(342,1),(343,1),(353,1),(393,1),(396,1),(420,1)}
       373:{2,5,6}:{(342,1),(344,1),(396,1)}
       374:{2,4,6,7}:{(343,1),(344,1),(349,1),(396,1),(398,1),(400,1),(422,1)}
       375:{2,3,6}:{(344,1),(345,1),(356,1)}
       376:{2,3,4,7}:{(345,1),(351,1),(357,1),(399,1),(422,1)}
       377:{1,3,6,7}:{(346,1),(347,1),(359,1),(400,1)}
       378:{2,5,7}:{(347,1),(348,1),(349,1),(400,1)}
       379:{2,3,7}:{(349,1),(350,1),(360,1)}
       380:{1,5,6,7}:{(352,1),(353,1),(359,1)}
       381:{1,2,5,7}:{(353,1),(354,1),(355,1),(364,1),(396,1),(401,1)}
       382:{1,3,5,6}:{(354,1),(356,1),(365,1),(397,1),(401,1),(402,1),(403,1)}
       383:{1,3,6,7}:{(355,1),(356,1),(360,1),(366,1),(398,1),(401,1)}
       384:{1,3,4,6}:{(356,1),(357,1),(358,1),(367,1),(399,1),(402,1),(403,1)}
       385:{1,2,5}:{(358,1),(403,1)}
       386:{2,4,5,7}:{(361,1),(362,1),(363,1),(364,1),(404,1),(406,1)}
       387:{3,5,6}:{(362,1),(404,1),(405,1)}
       388:{3,6,7}:{(363,1),(404,1)}
       389:{2,3,5,7}:{(364,1),(365,1),(366,1),(401,1),(404,1),(406,1)}
       390:{2,4,6}:{(365,1),(402,1),(405,1),(406,1),(407,1)}
       391:{2,3,5}:{(367,1),(403,1),(407,1)}
       392:{2,4,6,7}:{(368,1),(369,1),(371,1),(408,1)}
       393:{1,4,5,7}:{(369,1),(370,1),(372,1),(408,1),(409,1),(415,1)}
       394:{2,4,5,6}:{(370,1),(373,1),(409,1),(410,1),(413,1)}
       395:{1,3,5,6,7}:{(371,1),(372,1),(377,1),(380,1),(408,1),(411,1),(424,1)}
       396:{2,5,7}:{(372,1),(373,1),(374,1)}
       397:{2,3,5,6}:{(373,1),(375,1),(382,1),(410,1),(412,1),(413,1),(414,1)}
       398:{2,3,6,7}:{(374,1),(375,1),(379,1),(383,1),(412,1),(424,1)}
       399:{2,3,4,6}:{(375,1),(376,1),(384,1),(413,1),(414,1)}
       400:{2,6,7}:{(377,1),(378,1)}
       401:{1,3,5,7}:{(381,1),(382,1),(383,1),(389,1),(412,1),(415,1)}
       402:{1,4,6}:{(382,1),(390,1),(413,1),(415,1),(416,1)}
       403:{1,3,5}:{(384,1),(385,1),(391,1),(414,1),(416,1)}
       404:{3,5,7}:{(386,1),(387,1),(388,1),(417,1)}
       405:{3,4,6}:{(387,1),(390,1),(417,1),(418,1)}
       406:{2,4,7}:{(389,1),(390,1),(415,1),(417,1)}
       407:{2,4,5}:{(390,1),(391,1),(416,1),(418,1)}
       408:{1,4,6,7}:{(392,1),(393,1),(395,1),(419,1)}
       409:{2,4,5,7}:{(393,1),(394,1),(396,1),(419,1),(420,1),(422,1)}
       410:{3,5,6}:{(394,1),(420,1),(421,1)}
       411:{2,5,6,7}:{(395,1),(396,1),(400,1),(419,1)}
       412:{2,3,5,7}:{(396,1),(397,1),(398,1),(401,1),(420,1),(422,1)}
       413:{2,4,6}:{(397,1),(402,1),(421,1),(422,1),(423,1)}
       414:{2,3,5}:{(399,1),(403,1),(423,1)}
       415:{1,4,7}:{(401,1),(402,1),(406,1),(422,1)}
       416:{1,4,5}:{(402,1),(403,1),(407,1),(423,1)}
       417:{3,4,7}:{(404,1),(405,1),(406,1)}
       418:{3,4,5}:{(405,1),(407,1)}
       419:{2,4,6,7}:{(408,1),(409,1),(411,1),(424,1)}
       420:{3,5,7}:{(409,1),(410,1),(424,1),(425,1)}
       421:{3,4,6}:{(410,1),(413,1),(425,1),(426,1)}
       422:{2,4,7}:{(412,1),(413,1),(415,1),(425,1)}
       423:{2,4,5}:{(413,1),(414,1),(416,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2232 :   0:{2,3,4,5}:{(2,1),(3,1),(42,1),(85,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(65,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(64,1),(109,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(48,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(160,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(48,1),(91,1),(98,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(132,1)}
        12:{1,2,3,7}:{(4,1),(26,1),(71,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(68,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(63,1),(65,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(30,1),(31,1),(109,1),(149,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(32,1),(147,1),(169,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(33,1),(34,1),(39,1),(79,1),(80,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(30,1),(35,1),(36,1),(73,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(31,1),(36,1),(37,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(39,1)}
        22:{2,4,6}:{(9,1),(10,1),(35,1),(39,1),(40,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(36,1),(40,1),(71,1),(116,1),(121,1)}
        24:{2,3,4}:{(14,1),(42,1)}
        25:{1,3,4,6}:{(13,1),(14,1),(18,1),(41,1),(43,1),(44,1),(48,1),(91,1),(92,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(43,1),(45,1)}
        27:{1,2,5}:{(13,1),(44,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(42,1),(48,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(46,1),(48,1),(49,1),(88,1),(91,1)}
        30:{1,4,5,6}:{(16,1),(19,1),(50,1),(51,1),(91,1),(136,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(20,1),(51,1),(52,1),(132,1),(163,1)}
        32:{3,4,6,7}:{(17,1),(52,1),(53,1)}
        33:{2,3,4,7}:{(18,1),(43,1),(55,1),(60,1),(104,1)}
        34:{2,3,5}:{(18,1),(44,1),(54,1)}
        35:{2,5,6}:{(19,1),(22,1),(57,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(23,1),(51,1),(57,1),(58,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(52,1),(58,1)}
        38:{2,3,4,5}:{(21,1),(47,1),(54,1),(59,1)}
        39:{2,3,6}:{(21,1),(22,1),(48,1),(60,1)}
        40:{2,4,7}:{(22,1),(23,1),(57,1),(60,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(61,1),(62,1),(64,1),(109,1),(110,1)}
        42:{2,3,5}:{(24,1),(28,1),(63,1),(64,1)}
        43:{1,3,4,7}:{(25,1),(26,1),(33,1),(61,1),(66,1),(71,1),(116,1)}
        44:{1,3,5}:{(25,1),(27,1),(34,1),(62,1),(65,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,5,6}:{(27,1),(29,1),(35,1),(67,1),(68,1),(69,1),(112,1)}
        47:{1,3,4,5}:{(28,1),(38,1),(63,1),(65,1),(70,1),(107,1)}
        48:{1,3,6}:{(28,1),(29,1),(39,1),(64,1),(71,1)}
        49:{1,2,4,7}:{(29,1),(40,1),(69,1),(71,1),(113,1),(116,1)}
        50:{2,4,5,6}:{(30,1),(35,1),(73,1),(74,1),(79,1),(125,1),(155,1)}
        51:{1,4,5,7}:{(30,1),(31,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(37,1),(75,1),(76,1)}
        53:{3,5,6,7}:{(32,1),(76,1),(77,1),(169,1)}
        54:{2,4,5}:{(34,1),(65,1),(72,1),(79,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(66,1),(78,1),(80,1)}
        56:{2,3,5,6}:{(34,1),(35,1),(39,1),(67,1),(73,1),(79,1),(80,1),(81,1),(125,1)}
        57:{2,5,7}:{(35,1),(36,1),(40,1),(82,1)}
        58:{1,3,6,7}:{(36,1),(37,1),(75,1),(82,1),(122,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(70,1),(79,1),(83,1),(84,1)}
        60:{2,3,7}:{(39,1),(40,1),(71,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(86,1),(89,1),(132,1)}
        62:{2,3,5}:{(41,1),(44,1),(85,1)}
        63:{2,4,5}:{(42,1),(47,1),(88,1)}
        64:{2,3,6}:{(42,1),(48,1),(88,1),(89,1)}
        65:{1,4,5}:{(44,1),(54,1),(85,1),(91,1)}
        66:{1,3,5,7}:{(43,1),(44,1),(45,1),(55,1),(86,1),(90,1),(92,1)}
        67:{1,3,5,6}:{(44,1),(46,1),(48,1),(56,1),(87,1),(91,1),(92,1),(93,1),(136,1)}
        68:{1,2,6}:{(45,1),(92,1)}
        69:{1,2,5,7}:{(46,1),(49,1),(57,1),(93,1),(94,1),(134,1)}
        70:{1,3,4,6}:{(47,1),(48,1),(59,1),(88,1),(91,1),(95,1),(96,1),(129,1)}
        71:{1,3,7}:{(48,1),(49,1),(60,1),(89,1)}
        72:{3,4,5}:{(54,1),(98,1)}
        73:{3,5,6}:{(50,1),(98,1),(99,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(57,1),(99,1),(100,1),(104,1),(144,1),(166,1)}
        75:{1,4,6,7}:{(51,1),(52,1),(58,1),(100,1),(101,1)}
        76:{2,5,6,7}:{(52,1),(53,1),(101,1),(163,1)}
        77:{4,5,6,7}:{(53,1),(173,1)}
        78:{2,4,5,7}:{(54,1),(55,1),(90,1),(97,1),(103,1),(104,1),(144,1)}
        79:{2,4,6}:{(54,1),(56,1),(91,1),(98,1),(104,1)}
        80:{2,3,6}:{(55,1),(92,1),(103,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(60,1),(93,1),(99,1),(104,1),(105,1),(144,1)}
        82:{2,6,7}:{(57,1),(58,1)}
        83:{2,3,5,6}:{(59,1),(95,1),(102,1),(106,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(96,1),(104,1),(106,1)}
        85:{2,4,5}:{(62,1),(65,1),(107,1),(109,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(66,1),(108,1),(110,1)}
        87:{2,3,5,6}:{(62,1),(64,1),(67,1),(109,1),(110,1),(111,1),(112,1),(145,1),(149,1)}
        88:{2,4,6}:{(63,1),(64,1),(70,1),(112,1),(113,1)}
        89:{2,3,7}:{(64,1),(71,1),(113,1)}
        90:{1,4,5,7}:{(65,1),(66,1),(78,1),(108,1),(115,1),(116,1),(153,1)}
        91:{1,4,6}:{(65,1),(67,1),(79,1),(109,1),(116,1)}
        92:{1,3,6}:{(66,1),(68,1),(80,1),(110,1),(115,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(81,1),(111,1),(116,1),(117,1),(153,1)}
        94:{1,2,6,7}:{(68,1),(69,1),(82,1),(117,1),(151,1)}
        95:{1,3,5,6}:{(70,1),(83,1),(112,1),(114,1),(118,1),(145,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(84,1),(113,1),(116,1),(118,1),(147,1)}
        97:{3,4,5,7}:{(72,1),(78,1),(120,1),(121,1),(156,1)}
        98:{3,4,6}:{(72,1),(73,1),(79,1),(121,1)}
        99:{3,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{2,4,6,7}:{(74,1),(75,1),(82,1),(122,1),(123,1),(157,1)}
       101:{1,5,6,7}:{(75,1),(76,1),(123,1),(153,1)}
       102:{2,4,5,6}:{(79,1),(83,1),(114,1),(119,1),(124,1),(125,1)}
       103:{2,4,6}:{(78,1),(80,1),(115,1),(120,1),(125,1)}
       104:{2,4,7}:{(79,1),(81,1),(116,1),(121,1)}
       105:{2,3,6,7}:{(80,1),(81,1),(82,1),(117,1),(122,1),(126,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(124,1),(127,1)}
       107:{3,4,5}:{(85,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(131,1),(132,1),(163,1)}
       109:{2,4,6}:{(85,1),(87,1),(91,1),(129,1),(132,1)}
       110:{2,3,6}:{(86,1),(92,1),(131,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(93,1),(132,1),(133,1),(134,1),(159,1),(163,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,5,6}:{(91,1),(95,1),(102,1),(130,1),(135,1),(136,1)}
       115:{1,4,6}:{(90,1),(92,1),(103,1),(131,1),(136,1)}
       116:{1,4,7}:{(91,1),(93,1),(104,1),(132,1)}
       117:{1,3,6,7}:{(92,1),(93,1),(94,1),(105,1),(133,1),(137,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(135,1),(138,1),(159,1)}
       119:{3,4,5,6}:{(98,1),(102,1),(139,1),(140,1)}
       120:{3,4,6}:{(97,1),(103,1),(140,1)}
       121:{3,4,7}:{(98,1),(99,1),(104,1)}
       122:{3,6,7}:{(99,1),(100,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(102,1),(104,1),(106,1),(135,1),(139,1),(143,1),(144,1)}
       125:{2,5,6}:{(103,1),(136,1),(140,1),(144,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(105,1),(137,1),(141,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(143,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(146,1),(147,1),(169,1)}
       129:{3,4,6}:{(107,1),(109,1),(145,1),(147,1)}
       130:{2,4,5,6}:{(109,1),(112,1),(114,1),(145,1),(148,1),(149,1),(168,1)}
       131:{2,4,6}:{(108,1),(110,1),(115,1),(146,1),(149,1)}
       132:{2,4,7}:{(109,1),(111,1),(116,1),(147,1)}
       133:{2,3,6,7}:{(110,1),(111,1),(117,1),(150,1),(151,1),(167,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,4,5,7}:{(114,1),(116,1),(118,1),(124,1),(148,1),(152,1),(153,1)}
       136:{1,5,6}:{(115,1),(125,1),(149,1),(153,1)}
       137:{1,4,6,7}:{(115,1),(116,1),(117,1),(126,1),(150,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(152,1),(167,1)}
       139:{3,4,5,7}:{(119,1),(121,1),(124,1),(154,1),(156,1)}
       140:{3,5,6}:{(120,1),(125,1),(155,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(122,1),(126,1),(156,1),(157,1)}
       142:{3,5,6,7}:{(122,1),(123,1),(156,1),(157,1)}
       143:{2,4,6,7}:{(124,1),(127,1),(152,1),(154,1),(158,1)}
       144:{2,5,7}:{(125,1),(126,1),(153,1),(156,1)}
       145:{3,5,6}:{(129,1),(130,1),(159,1)}
       146:{3,4,6}:{(128,1),(131,1),(160,1)}
       147:{3,4,7}:{(129,1),(132,1),(159,1)}
       148:{2,4,5,7}:{(130,1),(132,1),(134,1),(135,1),(159,1),(162,1),(163,1),(173,1)}
       149:{2,5,6}:{(131,1),(136,1),(160,1),(163,1)}
       150:{2,4,6,7}:{(131,1),(132,1),(133,1),(137,1),(161,1),(163,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,4,6,7}:{(135,1),(138,1),(143,1),(162,1),(164,1)}
       153:{1,5,7}:{(136,1),(137,1),(144,1),(163,1)}
       154:{3,4,6,7}:{(139,1),(143,1),(165,1)}
       155:{4,5,6}:{(140,1),(166,1)}
       156:{3,5,7}:{(140,1),(141,1),(144,1),(166,1)}
       157:{4,6,7}:{(142,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(165,1)}
       159:{3,5,7}:{(145,1),(147,1),(148,1),(167,1)}
       160:{3,5,6}:{(146,1),(149,1),(168,1),(169,1)}
       161:{3,4,6,7}:{(146,1),(147,1),(150,1),(167,1),(169,1),(174,1)}
       162:{2,4,6,7}:{(148,1),(151,1),(152,1),(167,1),(170,1),(174,1)}
       163:{2,5,7}:{(149,1),(150,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{3,5,6,7}:{(154,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(155,1),(156,1),(157,1)}
       167:{3,6,7}:{(159,1),(162,1)}
       168:{4,5,6}:{(160,1),(173,1)}
       169:{3,5,7}:{(160,1),(161,1),(163,1),(173,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{3,5,6,7}:{(167,1),(169,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2233 :   0:{2,3,4,5}:{(1,1),(2,1),(28,1),(91,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(42,1),(74,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(7,1),(17,1),(79,1),(84,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(88,1),(124,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(11,1),(12,1)}
         5:{2,3,4,7}:{(1,1),(11,1),(13,1),(58,1),(90,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(31,1),(62,1),(68,1)}
         7:{2,4,5}:{(2,1),(14,1),(15,1)}
         8:{1,2,4,5}:{(7,1),(16,1),(17,1),(43,1),(76,1),(79,1)}
         9:{3,4,5,7}:{(3,1),(19,1),(20,1),(101,1),(119,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(20,1),(21,1),(74,1),(121,1)}
        11:{2,3,5,7}:{(4,1),(5,1),(20,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(4,1),(6,1),(21,1),(23,1),(24,1),(51,1)}
        13:{1,3,4,7}:{(5,1),(6,1),(23,1),(25,1),(46,1),(78,1),(83,1)}
        14:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
        15:{2,3,5}:{(7,1),(17,1),(26,1),(27,1)}
        16:{1,2,4,6}:{(8,1),(14,1),(29,1),(30,1),(31,1),(59,1),(62,1)}
        17:{1,3,5}:{(8,1),(15,1),(28,1),(31,1),(32,1)}
        18:{4,5,6,7}:{(33,1),(123,1)}
        19:{3,4,6,7}:{(9,1),(33,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(35,1),(90,1),(114,1)}
        21:{1,4,5,6}:{(10,1),(12,1),(35,1),(36,1),(62,1),(116,1)}
        22:{2,3,6,7}:{(11,1),(34,1),(37,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(13,1),(35,1),(37,1),(38,1),(67,1)}
        24:{2,5,6}:{(12,1),(14,1),(38,1)}
        25:{2,4,7}:{(13,1),(14,1),(38,1),(40,1)}
        26:{2,3,6}:{(14,1),(15,1),(31,1),(40,1)}
        27:{2,3,4}:{(15,1),(32,1)}
        28:{2,3,5}:{(17,1),(42,1),(43,1),(76,1)}
        29:{1,2,5,6}:{(16,1),(24,1),(44,1),(45,1),(76,1),(105,1)}
        30:{1,2,4,7}:{(16,1),(25,1),(44,1),(46,1),(75,1),(78,1)}
        31:{1,3,6}:{(16,1),(17,1),(26,1),(42,1),(46,1)}
        32:{1,3,4}:{(17,1),(27,1),(43,1)}
        33:{3,5,6,7}:{(18,1),(19,1),(48,1),(119,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(22,1),(48,1),(49,1)}
        35:{1,4,5,7}:{(20,1),(21,1),(23,1),(49,1),(50,1),(78,1),(106,1)}
        36:{2,4,5,6}:{(21,1),(24,1),(50,1),(51,1),(54,1),(111,1),(122,1)}
        37:{1,3,6,7}:{(22,1),(23,1),(49,1),(52,1),(82,1)}
        38:{2,5,7}:{(23,1),(24,1),(25,1),(52,1)}
        39:{2,3,5,6}:{(24,1),(26,1),(45,1),(51,1),(53,1),(54,1),(56,1),(87,1),(111,1)}
        40:{2,3,7}:{(25,1),(26,1),(46,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(47,1),(54,1),(55,1),(56,1),(87,1)}
        42:{2,3,6}:{(28,1),(31,1),(58,1),(59,1)}
        43:{2,4}:{(28,1),(32,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(38,1),(60,1),(61,1),(92,1)}
        45:{1,3,5,6}:{(29,1),(31,1),(39,1),(57,1),(61,1),(62,1),(64,1),(95,1),(116,1)}
        46:{1,3,7}:{(30,1),(31,1),(40,1),(58,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(41,1),(59,1),(62,1),(63,1),(64,1),(88,1),(95,1)}
        48:{2,5,6,7}:{(33,1),(34,1),(65,1),(114,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(37,1),(65,1),(66,1)}
        50:{2,4,5,7}:{(35,1),(36,1),(38,1),(66,1),(67,1),(70,1),(99,1),(117,1)}
        51:{3,5,6}:{(36,1),(67,1),(68,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(40,1),(61,1),(67,1),(69,1),(70,1),(99,1)}
        54:{2,4,6}:{(39,1),(62,1),(68,1),(70,1),(71,1)}
        55:{2,3,4,7}:{(40,1),(41,1),(63,1),(70,1),(72,1)}
        56:{2,3,5}:{(41,1),(64,1),(71,1)}
        57:{2,3,5,6}:{(42,1),(45,1),(73,1),(74,1),(76,1),(102,1),(105,1),(120,1),(121,1)}
        58:{2,3,7}:{(42,1),(46,1),(75,1)}
        59:{2,4,6}:{(42,1),(43,1),(47,1),(75,1),(76,1),(105,1)}
        60:{1,2,6,7}:{(44,1),(52,1),(77,1),(105,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(53,1),(73,1),(77,1),(78,1),(106,1)}
        62:{1,4,6}:{(45,1),(54,1),(74,1),(78,1),(79,1)}
        63:{1,3,4,7}:{(46,1),(47,1),(55,1),(75,1),(78,1),(80,1),(101,1)}
        64:{1,3,5}:{(47,1),(56,1),(76,1),(79,1),(102,1)}
        65:{1,5,6,7}:{(48,1),(49,1),(81,1),(106,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(52,1),(81,1),(82,1),(108,1)}
        67:{3,5,7}:{(50,1),(51,1),(82,1),(83,1)}
        68:{3,4,6}:{(51,1),(54,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(77,1),(82,1),(85,1),(87,1)}
        70:{2,4,7}:{(53,1),(54,1),(78,1),(83,1)}
        71:{2,4,5}:{(54,1),(56,1),(79,1),(84,1)}
        72:{2,3,5,7}:{(55,1),(56,1),(80,1),(86,1),(87,1)}
        73:{2,3,5,7}:{(57,1),(58,1),(61,1),(89,1),(90,1),(92,1),(113,1),(114,1)}
        74:{2,4,6}:{(57,1),(62,1),(88,1),(90,1),(91,1)}
        75:{2,4,7}:{(58,1),(59,1),(63,1),(92,1)}
        76:{2,5}:{(59,1),(64,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(69,1),(89,1),(93,1),(95,1)}
        78:{1,4,7}:{(61,1),(62,1),(70,1),(90,1)}
        79:{1,4,5}:{(62,1),(64,1),(71,1),(91,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(72,1),(92,1),(94,1),(95,1),(113,1)}
        81:{2,5,6,7}:{(65,1),(66,1),(96,1),(99,1)}
        82:{3,6,7}:{(66,1),(67,1)}
        83:{3,4,7}:{(67,1),(68,1),(70,1)}
        84:{3,4,5}:{(68,1),(71,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(93,1),(97,1),(99,1),(100,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(98,1),(99,1),(100,1)}
        87:{2,3,6}:{(72,1),(95,1),(100,1)}
        88:{3,4,6}:{(74,1),(101,1),(102,1),(120,1)}
        89:{2,3,6,7}:{(73,1),(77,1),(103,1),(105,1),(120,1)}
        90:{2,4,7}:{(73,1),(74,1),(78,1),(101,1)}
        91:{2,4,5}:{(74,1),(76,1),(79,1),(102,1)}
        92:{2,5,7}:{(75,1),(76,1),(80,1),(105,1)}
        93:{1,4,6,7}:{(77,1),(78,1),(85,1),(103,1),(106,1),(107,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(104,1),(106,1),(107,1)}
        95:{1,3,6}:{(80,1),(87,1),(105,1),(107,1),(120,1)}
        96:{3,5,6,7}:{(81,1),(82,1),(108,1),(109,1)}
        97:{3,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(109,1),(110,1)}
        98:{3,4,5,7}:{(83,1),(84,1),(86,1),(109,1),(110,1)}
        99:{2,5,7}:{(85,1),(106,1),(109,1),(111,1)}
       100:{2,4,6}:{(86,1),(87,1),(107,1),(110,1),(111,1)}
       101:{3,4,7}:{(88,1),(90,1),(113,1)}
       102:{3,5}:{(88,1),(91,1)}
       103:{2,4,6,7}:{(89,1),(90,1),(93,1),(112,1),(114,1),(115,1)}
       104:{2,4,5,7}:{(90,1),(91,1),(92,1),(94,1),(113,1),(114,1),(115,1),(123,1)}
       105:{2,6}:{(92,1),(95,1)}
       106:{1,5,7}:{(93,1),(99,1),(114,1),(116,1)}
       107:{1,4,6}:{(94,1),(95,1),(100,1),(115,1),(116,1)}
       108:{4,6,7}:{(96,1),(117,1)}
       109:{3,5,7}:{(97,1),(99,1),(117,1),(118,1)}
       110:{3,4,6}:{(98,1),(100,1),(118,1)}
       111:{2,5,6}:{(99,1),(100,1),(116,1),(118,1)}
       112:{3,4,6,7}:{(101,1),(103,1),(119,1),(120,1),(125,1)}
       113:{3,5,7}:{(101,1),(102,1),(104,1),(120,1)}
       114:{2,5,7}:{(103,1),(106,1),(119,1),(121,1)}
       115:{2,4,6}:{(104,1),(105,1),(107,1),(120,1),(121,1),(125,1)}
       116:{1,5,6}:{(106,1),(107,1),(111,1),(121,1)}
       117:{4,5,7}:{(108,1),(109,1),(122,1)}
       118:{3,5,6}:{(109,1),(110,1),(111,1),(122,1)}
       119:{3,5,7}:{(112,1),(114,1),(123,1),(124,1)}
       120:{3,6}:{(113,1),(115,1)}
       121:{2,5,6}:{(114,1),(115,1),(116,1),(124,1)}
       122:{4,5,6}:{(117,1),(118,1)}
       123:{4,5,7}:{(119,1),(125,1)}
       124:{3,5,6}:{(119,1),(120,1),(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2234 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2235 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

2236 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(93,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(45,1),(50,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(71,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(112,1),(139,1),(145,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(7,1),(12,1),(27,1),(36,1),(66,1),(76,1),(107,1),(110,1),(112,1),(116,1),(117,1),(139,1),(145,1),(149,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(93,1),(94,1),(132,1)}
         7:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(92,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(91,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(18,1),(19,1),(45,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(155,1)}
        12:{1,3,5,6}:{(5,1),(14,1),(21,1),(22,1),(95,1),(125,1),(132,1),(136,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(12,1),(25,1),(26,1),(113,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(10,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{2,4,5,6}:{(10,1),(27,1),(32,1),(66,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(32,1)}
        20:{2,3,4,6,7}:{(11,1),(29,1),(33,1),(34,1),(61,1),(69,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        21:{1,3,4,6}:{(12,1),(25,1),(35,1),(36,1),(149,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(26,1),(36,1),(37,1),(66,1),(74,1),(104,1),(117,1),(118,1),(145,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(133,1)}
        25:{1,3,4,7}:{(14,1),(21,1),(42,1),(131,1),(133,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(22,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(18,1),(38,1),(44,1),(88,1),(91,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(19,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{3,4,5,7}:{(19,1),(48,1),(49,1),(155,1),(171,1)}
        32:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(45,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(46,1),(51,1),(52,1),(84,1),(90,1),(91,1),(125,1),(131,1),(132,1),(133,1),(161,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(54,1),(95,1),(138,1),(162,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(42,1),(54,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(43,1),(55,1),(56,1),(88,1),(95,1),(98,1),(125,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(73,1),(99,1),(104,1),(115,1),(150,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(35,1),(57,1),(62,1),(63,1),(70,1),(100,1),(105,1),(113,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(36,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(37,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(32,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(69,1),(70,1),(142,1),(166,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(66,1),(69,1),(71,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(67,1),(70,1),(71,1),(72,1),(113,1),(170,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(106,1),(112,1),(115,1),(145,1),(169,1)}
        53:{2,3,4,6}:{(36,1),(61,1),(74,1),(75,1),(104,1),(118,1),(150,1),(153,1),(165,1),(169,1)}
        54:{2,4,5}:{(35,1),(36,1),(74,1),(76,1),(117,1),(153,1)}
        55:{1,4,6}:{(36,1),(37,1),(64,1),(76,1)}
        56:{1,2,5,6}:{(37,1),(65,1),(77,1),(117,1),(145,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(133,1),(163,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(53,1),(83,1),(84,1),(127,1),(133,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(48,1),(78,1),(85,1),(91,1),(120,1),(125,1),(132,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(54,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(55,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(56,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(52,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,4,5,7}:{(49,1),(51,1),(91,1),(92,1),(131,1),(162,1)}
        71:{1,3,5,6}:{(50,1),(51,1),(88,1),(91,1),(93,1),(125,1),(132,1)}
        72:{2,5,7}:{(51,1),(52,1),(93,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(94,1),(127,1),(132,1),(159,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,3,4,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(98,1),(125,1),(136,1),(138,1),(164,1),(172,1)}
        76:{1,4,5}:{(54,1),(55,1),(95,1),(164,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(87,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(115,1),(151,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(74,1),(104,1),(105,1),(113,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(75,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(76,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(77,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(72,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(73,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,4,5,7}:{(70,1),(72,1),(112,1),(113,1),(115,1),(151,1)}
        93:{2,5,6}:{(71,1),(72,1),(112,1),(145,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(111,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(117,1),(174,1)}
        96:{2,4,6}:{(75,1),(106,1),(117,1),(118,1),(145,1),(153,1)}
        97:{1,2,4,5}:{(76,1),(77,1),(117,1),(119,1),(153,1)}
        98:{1,3,6}:{(77,1),(109,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(132,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(95,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(96,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(92,1),(97,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(98,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(93,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(94,1),(123,1),(130,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{3,5,7}:{(92,1),(132,1),(133,1),(163,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(130,1),(132,1),(134,1),(159,1),(163,1),(173,1)}
       115:{2,4,7}:{(94,1),(131,1),(133,1),(134,1)}
       116:{1,2,4,6}:{(96,1),(124,1),(135,1),(136,1),(157,1),(164,1),(172,1)}
       117:{2,5}:{(95,1),(96,1)}
       118:{2,3,6}:{(96,1),(98,1),(127,1),(136,1),(137,1)}
       119:{1,3,5}:{(97,1),(98,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(116,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(117,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(118,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(112,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(113,1),(119,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(114,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(115,1),(142,1),(149,1)}
       132:{3,6}:{(112,1),(113,1)}
       133:{3,4,7}:{(113,1),(115,1),(150,1)}
       134:{2,4,6}:{(114,1),(115,1),(149,1),(150,1),(151,1)}
       135:{1,2,5}:{(116,1),(117,1),(152,1),(174,1)}
       136:{1,3,6}:{(116,1),(118,1),(144,1),(152,1)}
       137:{2,3,5}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       138:{1,3,4}:{(119,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(135,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(136,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(132,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(133,1),(138,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(134,1),(156,1),(162,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(134,1),(162,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(137,1),(164,1)}
       153:{2,4}:{(137,1),(138,1),(164,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(152,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(153,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(150,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(151,1),(166,1),(170,1),(174,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(164,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(163,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2237 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2238 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(50,1),(51,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(24,1),(34,1),(56,1),(109,1),(118,1),(120,1),(160,1),(166,1),(176,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(23,1),(32,1),(33,1),(73,1),(74,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(42,1),(52,1),(86,1),(89,1),(91,1),(140,1),(146,1),(147,1),(190,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(184,1),(189,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(50,1),(152,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(41,1),(50,1),(99,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(42,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(43,1)}
        10:{2,3,4,6,7}:{(20,1),(21,1),(25,1),(55,1),(66,1),(105,1),(117,1),(158,1),(161,1),(163,1),(166,1),(241,1)}
        11:{2,3,5,6}:{(5,1),(23,1),(24,1),(30,1),(70,1),(118,1)}
        12:{2,4,6,7}:{(4,1),(25,1),(26,1),(64,1),(66,1),(166,1),(172,1),(173,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(67,1),(73,1),(165,1),(209,1)}
        14:{2,4,5,7}:{(5,1),(24,1),(27,1),(28,1),(109,1),(159,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(29,1),(30,1),(70,1),(159,1),(175,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(73,1),(125,1)}
        17:{3,5,7}:{(6,1),(9,1),(30,1),(176,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(31,1),(33,1),(64,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(65,1),(71,1),(74,1),(125,1),(176,1)}
        20:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(39,1),(79,1),(86,1),(134,1),(136,1),(140,1),(183,1),(186,1),(187,1),(190,1)}
        21:{2,3,5,7}:{(10,1),(35,1),(37,1),(38,1),(128,1),(144,1),(178,1),(189,1)}
        22:{1,2,4,6,7}:{(12,1),(36,1),(39,1),(40,1),(52,1),(85,1),(86,1),(99,1),(152,1),(183,1),(190,1),(191,1),(192,1),(220,1),(236,1)}
        23:{1,3,5,6}:{(11,1),(13,1),(41,1),(42,1),(89,1),(96,1),(146,1)}
        24:{2,4,6}:{(11,1),(14,1),(42,1),(43,1)}
        25:{2,3,6,7}:{(12,1),(39,1),(44,1),(89,1),(141,1),(195,1),(220,1)}
        26:{2,5,7}:{(12,1),(13,1),(41,1),(189,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(86,1),(139,1)}
        28:{3,4,5,7}:{(14,1),(17,1),(43,1),(136,1),(184,1)}
        29:{1,4,5,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(96,1),(139,1),(150,1)}
        30:{3,5,6}:{(15,1),(17,1),(43,1),(184,1),(197,1)}
        31:{2,4,5,7}:{(16,1),(18,1),(47,1),(49,1),(50,1),(97,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        33:{3,6,7}:{(18,1),(49,1),(89,1)}
        34:{2,4,6,7}:{(19,1),(50,1),(51,1),(52,1),(90,1),(97,1),(99,1),(152,1)}
        35:{2,3,5,6}:{(21,1),(54,1),(55,1),(102,1),(156,1),(161,1)}
        36:{2,4,6,7}:{(20,1),(56,1),(57,1),(107,1),(109,1),(166,1),(207,1),(208,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(54,1),(57,1),(58,1),(110,1),(165,1),(200,1),(209,1)}
        38:{2,4,5,7}:{(21,1),(55,1),(58,1),(59,1),(66,1),(116,1)}
        39:{1,3,6,7}:{(22,1),(25,1),(56,1),(61,1),(113,1),(167,1),(176,1),(211,1),(241,1)}
        40:{1,2,5,7}:{(22,1),(26,1),(57,1),(60,1),(61,1),(73,1),(126,1),(200,1),(209,1),(229,1)}
        41:{2,5,6}:{(23,1),(26,1),(64,1),(172,1)}
        42:{1,4,6}:{(23,1),(24,1),(27,1),(64,1)}
        43:{3,4,6}:{(24,1),(28,1),(30,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(63,1),(66,1),(67,1),(229,1),(241,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(64,1),(66,1),(67,1),(116,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(65,1),(67,1),(68,1),(71,1),(114,1),(121,1),(122,1),(125,1),(165,1),(174,1),(176,1),(214,1)}
        47:{2,4,5,6}:{(29,1),(31,1),(64,1),(69,1),(70,1),(116,1),(123,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(32,1),(65,1),(69,1),(70,1),(165,1)}
        49:{3,5,7}:{(31,1),(33,1),(69,1),(71,1)}
        50:{2,5,7}:{(32,1),(34,1),(70,1),(73,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(72,1),(74,1),(118,1),(176,1)}
        52:{1,4,6,7}:{(34,1),(73,1),(74,1),(119,1),(125,1)}
        53:{2,3,5,6,7}:{(35,1),(76,1),(77,1),(128,1),(178,1),(182,1)}
        54:{1,3,5,6}:{(35,1),(37,1),(78,1),(79,1),(134,1),(181,1),(186,1)}
        55:{2,4,6}:{(35,1),(38,1),(79,1),(80,1)}
        56:{2,3,6,7}:{(36,1),(39,1),(81,1),(99,1),(134,1),(141,1),(223,1)}
        57:{2,5,7}:{(36,1),(37,1),(78,1),(189,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(79,1),(82,1),(86,1),(139,1)}
        59:{3,4,5,7}:{(38,1),(80,1),(91,1),(128,1),(144,1)}
        60:{1,2,5,6}:{(40,1),(41,1),(78,1),(84,1),(85,1),(96,1),(151,1),(181,1),(189,1),(191,1),(219,1),(224,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(81,1),(84,1),(86,1)}
        62:{1,2,4,5,7}:{(40,1),(45,1),(82,1),(85,1),(86,1),(87,1),(93,1),(138,1),(139,1),(142,1),(148,1),(152,1),(188,1),(189,1),(192,1),(196,1),(224,1),(236,1),(237,1),(240,1)}
        63:{2,3,5,6}:{(41,1),(44,1),(84,1),(88,1),(89,1),(141,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(41,1),(42,1),(45,1),(89,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(46,1),(48,1),(89,1),(90,1),(94,1),(146,1),(150,1),(197,1)}
        66:{2,4,7}:{(44,1),(86,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(89,1),(91,1),(144,1)}
        68:{2,4,5,7}:{(46,1),(50,1),(90,1),(92,1),(93,1),(97,1),(142,1),(148,1),(149,1),(152,1),(189,1),(196,1)}
        69:{3,5,6}:{(47,1),(49,1),(89,1),(94,1),(144,1)}
        70:{2,5,6}:{(48,1),(50,1),(90,1),(96,1),(189,1)}
        71:{3,4,7}:{(49,1),(94,1),(97,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(51,1),(95,1),(97,1),(98,1)}
        73:{1,5,7}:{(50,1),(52,1),(96,1)}
        74:{1,3,6,7}:{(51,1),(52,1),(98,1),(99,1),(146,1)}
        75:{2,4,5,6}:{(55,1),(100,1),(101,1),(102,1),(116,1),(156,1),(231,1)}
        76:{1,3,5,6,7}:{(53,1),(54,1),(103,1),(104,1),(154,1),(157,1),(200,1),(204,1)}
        77:{2,4,6,7}:{(53,1),(55,1),(100,1),(104,1),(105,1)}
        78:{2,5,6}:{(54,1),(57,1),(107,1),(207,1)}
        79:{1,4,6}:{(54,1),(55,1),(58,1),(107,1)}
        80:{3,4,6}:{(55,1),(59,1),(102,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(109,1),(110,1),(126,1),(176,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(107,1),(109,1),(110,1),(159,1)}
        83:{1,3,4,5,7}:{(58,1),(59,1),(108,1),(110,1),(111,1),(114,1),(154,1),(164,1),(165,1),(198,1),(201,1),(228,1),(230,1),(241,1),(242,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(63,1),(106,1),(112,1),(113,1),(165,1),(167,1),(209,1),(234,1)}
        85:{1,2,4,6}:{(60,1),(62,1),(64,1),(107,1),(112,1),(113,1),(119,1),(162,1),(166,1),(172,1),(175,1),(207,1),(231,1)}
        86:{1,4,7}:{(61,1),(66,1),(109,1),(112,1)}
        87:{1,3,5,7}:{(62,1),(67,1),(110,1),(113,1),(114,1),(115,1),(165,1),(176,1),(211,1),(214,1),(234,1),(241,1),(242,1)}
        88:{2,4,6}:{(63,1),(66,1),(112,1),(116,1),(117,1),(243,1)}
        89:{3,6}:{(64,1),(67,1)}
        90:{2,4,6}:{(65,1),(68,1),(70,1),(118,1),(119,1),(172,1)}
        91:{3,4,7}:{(66,1),(67,1),(117,1),(241,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(118,1),(120,1),(121,1),(170,1),(176,1),(214,1)}
        93:{1,4,5,7}:{(68,1),(73,1),(119,1),(121,1),(125,1),(168,1),(174,1),(209,1)}
        94:{3,4,6}:{(69,1),(71,1),(122,1),(123,1)}
        95:{2,3,5,6}:{(69,1),(70,1),(72,1),(118,1),(123,1),(124,1),(170,1)}
        96:{1,5,6}:{(70,1),(73,1),(119,1),(209,1)}
        97:{2,4,7}:{(71,1),(72,1),(123,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(124,1),(125,1),(126,1),(176,1)}
        99:{2,6,7}:{(74,1),(126,1),(172,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(127,1),(128,1),(178,1),(236,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(127,1),(129,1),(130,1),(139,1),(181,1),(218,1)}
       102:{3,5,6}:{(75,1),(80,1),(128,1),(144,1),(238,1)}
       103:{2,5,6,7}:{(76,1),(78,1),(131,1),(178,1),(220,1)}
       104:{1,4,6,7}:{(76,1),(77,1),(79,1),(127,1),(131,1)}
       105:{3,4,6,7}:{(77,1),(80,1),(128,1)}
       106:{2,3,5,6}:{(78,1),(81,1),(84,1),(133,1),(134,1),(141,1),(151,1),(184,1),(189,1),(197,1),(226,1)}
       107:{2,4,6}:{(78,1),(79,1),(82,1),(134,1)}
       108:{1,3,4,6}:{(79,1),(80,1),(83,1),(130,1),(134,1),(135,1),(179,1),(186,1),(218,1),(238,1)}
       109:{2,4,7}:{(81,1),(86,1),(133,1),(136,1)}
       110:{3,5,7}:{(82,1),(134,1),(136,1),(184,1)}
       111:{2,4,5,7}:{(83,1),(135,1),(137,1),(138,1),(142,1),(178,1),(188,1),(189,1),(215,1),(217,1),(236,1),(237,1)}
       112:{1,4,6}:{(84,1),(86,1),(88,1),(133,1),(139,1),(240,1)}
       113:{1,3,6}:{(85,1),(87,1),(89,1),(134,1),(141,1),(197,1),(238,1)}
       114:{1,3,4,7}:{(86,1),(87,1),(91,1),(136,1),(140,1),(142,1),(227,1),(240,1),(244,1)}
       115:{2,3,5,7}:{(87,1),(141,1),(142,1),(143,1),(148,1),(188,1),(189,1),(195,1),(223,1),(226,1),(239,1)}
       116:{2,4,5}:{(88,1),(139,1),(144,1),(189,1)}
       117:{3,4,6}:{(88,1),(89,1),(91,1),(144,1),(238,1),(244,1)}
       118:{2,3,6}:{(89,1),(90,1),(92,1),(146,1),(197,1)}
       119:{1,4,6}:{(90,1),(93,1),(96,1),(146,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(97,1),(142,1),(145,1),(147,1),(223,1),(227,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(146,1),(147,1),(148,1),(193,1)}
       122:{3,4,5}:{(94,1),(144,1),(149,1),(244,1)}
       123:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(150,1)}
       124:{1,3,5,6}:{(95,1),(96,1),(98,1),(146,1),(150,1),(151,1),(193,1),(197,1)}
       125:{1,4,7}:{(97,1),(98,1),(150,1),(152,1)}
       126:{2,5,7}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,4,5,7}:{(100,1),(101,1),(104,1),(153,1),(154,1),(200,1),(228,1)}
       128:{3,5,7}:{(100,1),(102,1),(105,1),(241,1)}
       129:{2,4,5,6}:{(101,1),(107,1),(153,1),(155,1),(156,1),(159,1),(202,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(108,1),(154,1),(155,1),(156,1),(165,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(107,1),(153,1),(157,1)}
       132:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(154,1),(157,1),(158,1),(198,1),(204,1),(228,1),(241,1)}
       133:{2,4,6}:{(106,1),(109,1),(112,1),(159,1),(160,1),(235,1)}
       134:{3,6}:{(107,1),(110,1)}
       135:{2,4,6}:{(108,1),(111,1),(156,1),(161,1),(162,1),(207,1)}
       136:{3,4,7}:{(109,1),(110,1),(160,1),(176,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(161,1),(163,1),(164,1),(205,1),(241,1),(242,1)}
       138:{1,4,5,7}:{(111,1),(162,1),(164,1),(168,1),(200,1),(209,1),(228,1),(230,1)}
       139:{1,4,5}:{(112,1),(116,1),(159,1),(165,1),(209,1)}
       140:{1,3,4,6}:{(112,1),(113,1),(114,1),(117,1),(160,1),(165,1),(166,1)}
       141:{2,3,6}:{(113,1),(115,1),(166,1),(167,1),(172,1),(207,1)}
       142:{2,4,7}:{(114,1),(115,1),(166,1),(168,1),(235,1),(243,1)}
       143:{1,3,5,7}:{(115,1),(167,1),(168,1),(169,1),(209,1),(211,1),(234,1)}
       144:{3,5}:{(116,1),(117,1)}
       145:{2,3,4,6}:{(117,1),(118,1),(120,1),(123,1),(166,1),(170,1),(171,1),(233,1),(243,1)}
       146:{1,3,6}:{(118,1),(119,1),(121,1),(172,1)}
       147:{1,3,4,7}:{(120,1),(121,1),(125,1),(168,1),(171,1),(173,1),(176,1),(211,1)}
       148:{2,5,7}:{(121,1),(172,1),(173,1),(212,1)}
       149:{2,4,5}:{(122,1),(123,1),(170,1),(174,1),(243,1)}
       150:{1,4,6}:{(123,1),(124,1),(125,1),(174,1),(175,1)}
       151:{2,5,6}:{(124,1),(126,1),(172,1),(175,1),(212,1)}
       152:{2,4,7}:{(125,1),(126,1),(175,1),(176,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(131,1),(177,1),(178,1),(215,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(130,1),(132,1),(177,1),(178,1)}
       155:{3,5,6}:{(129,1),(134,1),(177,1),(179,1),(184,1)}
       156:{2,5,6}:{(130,1),(135,1),(178,1),(181,1),(189,1)}
       157:{3,6,7}:{(131,1),(134,1),(177,1)}
       158:{2,4,6,7}:{(132,1),(135,1),(178,1),(182,1),(183,1),(215,1),(220,1),(236,1)}
       159:{2,4,5}:{(133,1),(139,1),(184,1),(189,1)}
       160:{3,4,6}:{(133,1),(134,1),(136,1),(184,1),(197,1),(227,1)}
       161:{2,3,6}:{(134,1),(135,1),(137,1),(186,1),(238,1)}
       162:{1,4,6}:{(135,1),(138,1),(181,1),(186,1)}
       163:{2,3,4,7}:{(136,1),(137,1),(142,1),(185,1),(187,1),(195,1),(215,1),(244,1)}
       164:{1,3,5,7}:{(137,1),(138,1),(186,1),(187,1),(188,1),(221,1)}
       165:{1,3,5}:{(139,1),(140,1),(144,1),(184,1),(189,1)}
       166:{2,4,6}:{(140,1),(141,1),(142,1),(189,1),(190,1)}
       167:{1,3,6}:{(141,1),(143,1),(190,1),(191,1)}
       168:{1,4,7}:{(142,1),(143,1),(190,1),(240,1)}
       169:{1,2,5,7}:{(143,1),(148,1),(188,1),(191,1),(192,1),(224,1)}
       170:{2,3,5}:{(144,1),(145,1),(149,1),(189,1),(193,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(147,1),(150,1),(190,1),(193,1),(194,1),(197,1),(225,1),(227,1),(240,1)}
       172:{2,6}:{(146,1),(148,1)}
       173:{2,4,7}:{(147,1),(148,1),(194,1),(195,1)}
       174:{1,4,5}:{(149,1),(150,1),(193,1),(196,1),(240,1)}
       175:{2,4,6}:{(150,1),(151,1),(152,1),(196,1),(197,1)}
       176:{3,7}:{(152,1),(197,1)}
       177:{3,5,7}:{(153,1),(155,1),(157,1),(198,1)}
       178:{2,5,7}:{(154,1),(156,1),(158,1),(200,1)}
       179:{3,4,6}:{(155,1),(198,1),(201,1),(202,1)}
       180:{2,3,5,6}:{(155,1),(156,1),(161,1),(199,1),(202,1),(203,1),(205,1)}
       181:{1,5,6}:{(156,1),(162,1),(200,1),(209,1)}
       182:{2,3,6,7}:{(157,1),(158,1),(161,1),(199,1),(204,1),(241,1)}
       183:{1,4,6,7}:{(158,1),(162,1),(200,1),(204,1),(228,1)}
       184:{3,5}:{(159,1),(160,1)}
       185:{2,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(202,1),(205,1),(206,1),(213,1),(235,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(207,1)}
       187:{1,3,4,7}:{(163,1),(164,1),(168,1),(206,1),(208,1),(211,1),(228,1),(241,1)}
       188:{2,5,7}:{(164,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(165,1),(166,1),(209,1)}
       190:{1,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       191:{1,2,6}:{(167,1),(169,1),(172,1),(207,1)}
       192:{1,2,4,7}:{(168,1),(169,1),(173,1),(208,1),(210,1),(211,1)}
       193:{1,3,5}:{(170,1),(171,1),(174,1),(209,1),(212,1),(214,1)}
       194:{2,4,6}:{(171,1),(172,1),(173,1),(212,1),(213,1),(235,1)}
       195:{2,3,7}:{(173,1),(176,1),(211,1),(213,1)}
       196:{2,4,5}:{(174,1),(175,1),(212,1),(214,1),(235,1)}
       197:{3,6}:{(175,1),(176,1),(214,1)}
       198:{3,4,7}:{(177,1),(179,1),(215,1)}
       199:{2,3,5,7}:{(177,1),(178,1),(180,1),(182,1),(215,1),(216,1)}
       200:{1,5,7}:{(178,1),(181,1),(183,1)}
       201:{3,4,5}:{(179,1),(184,1),(217,1),(227,1)}
       202:{2,4,6}:{(179,1),(180,1),(215,1),(217,1),(218,1)}
       203:{1,3,5,6}:{(180,1),(181,1),(186,1),(216,1),(218,1),(219,1),(221,1),(238,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(186,1),(216,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(195,1),(223,1),(225,1)}
       212:{2,5}:{(193,1),(194,1)}
       213:{2,3,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       214:{3,5}:{(196,1),(197,1),(227,1)}
       215:{2,4,7}:{(198,1),(199,1),(202,1),(228,1)}
       216:{1,3,5,7}:{(199,1),(200,1),(203,1),(204,1),(228,1),(229,1),(241,1)}
       217:{2,4,5}:{(201,1),(202,1),(205,1),(230,1),(235,1)}
       218:{1,4,6}:{(202,1),(203,1),(228,1),(230,1),(231,1)}
       219:{2,5,6}:{(203,1),(207,1),(229,1),(231,1),(232,1)}
       220:{2,6,7}:{(204,1),(207,1),(229,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(230,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(233,1),(241,1)}
       224:{1,2,5}:{(209,1),(210,1),(212,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(213,1),(233,1),(234,1)}
       226:{2,3,5}:{(212,1),(213,1),(214,1),(234,1),(235,1)}
       227:{3,4}:{(214,1),(235,1)}
       228:{1,4,7}:{(215,1),(216,1),(218,1),(236,1)}
       229:{2,5,7}:{(216,1),(219,1),(220,1),(236,1)}
       230:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       231:{2,4,6}:{(218,1),(219,1),(236,1),(237,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(226,1),(239,1),(240,1)}
       235:{2,4}:{(226,1),(227,1),(240,1)}
       236:{2,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(235,1),(243,1)}
       241:{3,7}:{(236,1),(238,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2239 :   0:{3,4,5,6}:{(2,1),(3,1),(136,1),(164,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(117,1),(156,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(152,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(32,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(117,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(98,1),(144,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(139,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(61,1),(68,1),(98,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(33,1),(92,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(79,1),(82,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(79,1),(127,1),(130,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(122,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(169,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(32,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(85,1),(92,1),(122,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(52,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(53,1),(55,1)}
        34:{2,3,5}:{(19,1),(52,1),(56,1)}
        35:{2,3,4,7}:{(19,1),(53,1),(58,1),(71,1),(104,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(61,1)}
        40:{3,5,6}:{(22,1),(61,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(104,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(54,1),(68,1),(69,1),(98,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(117,1),(120,1)}
        52:{1,3,5}:{(31,1),(32,1),(34,1),(72,1),(74,1)}
        53:{1,3,4,7}:{(31,1),(33,1),(35,1),(73,1),(76,1),(92,1),(122,1)}
        54:{1,2,5,6}:{(32,1),(36,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        55:{1,2,5,7}:{(32,1),(33,1),(76,1),(78,1)}
        56:{2,4,5}:{(34,1),(39,1),(74,1),(79,1)}
        57:{2,3,5,6}:{(34,1),(36,1),(40,1),(49,1),(75,1),(79,1),(81,1),(82,1),(127,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(76,1),(80,1),(82,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,6}:{(39,1),(40,1),(79,1),(85,1)}
        62:{3,4,5,7}:{(39,1),(80,1),(85,1),(86,1),(129,1)}
        63:{3,5,7}:{(40,1),(41,1),(85,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(77,1),(92,1),(122,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(79,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,5}:{(51,1),(52,1),(95,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(97,1),(112,1),(139,1)}
        74:{1,4,5}:{(52,1),(56,1),(95,1),(98,1)}
        75:{1,3,5,6}:{(52,1),(54,1),(57,1),(68,1),(96,1),(98,1),(100,1),(101,1),(144,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(58,1),(97,1),(99,1),(101,1)}
        77:{1,2,5,7}:{(54,1),(59,1),(69,1),(100,1),(102,1),(149,1)}
        78:{1,2,6}:{(55,1),(101,1)}
        79:{2,4,6}:{(56,1),(57,1),(61,1),(98,1),(104,1)}
        80:{2,4,5,7}:{(56,1),(58,1),(62,1),(99,1),(104,1),(105,1),(146,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(63,1),(71,1),(100,1),(104,1),(106,1),(146,1)}
        82:{2,3,6}:{(58,1),(101,1),(105,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(61,1),(103,1),(107,1),(109,1)}
        85:{3,4,7}:{(61,1),(63,1),(104,1)}
        86:{3,4,6}:{(62,1),(105,1),(109,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(98,1),(111,1),(113,1),(114,1),(136,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(104,1),(114,1),(115,1)}
        95:{2,4,5}:{(72,1),(74,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(72,1),(75,1),(90,1),(117,1),(119,1),(120,1),(132,1),(151,1),(156,1)}
        97:{2,3,5,7}:{(72,1),(73,1),(76,1),(118,1),(120,1)}
        98:{1,4,6}:{(74,1),(75,1),(79,1),(117,1),(122,1)}
        99:{1,4,5,7}:{(74,1),(76,1),(80,1),(118,1),(122,1),(123,1),(158,1)}
       100:{1,3,5,7}:{(75,1),(77,1),(81,1),(92,1),(119,1),(122,1),(124,1),(158,1)}
       101:{1,3,6}:{(76,1),(78,1),(82,1),(120,1),(123,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(79,1),(84,1),(93,1),(121,1),(125,1),(127,1)}
       104:{2,4,7}:{(79,1),(81,1),(85,1),(122,1)}
       105:{2,4,6}:{(80,1),(82,1),(86,1),(123,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(126,1)}
       107:{3,4,5,7}:{(84,1),(85,1),(125,1),(128,1),(129,1)}
       108:{3,4,6,7}:{(85,1),(86,1),(87,1),(126,1),(129,1),(131,1)}
       109:{3,5,6}:{(86,1),(127,1),(129,1),(130,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(129,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(122,1),(133,1),(134,1),(152,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(136,1)}
       117:{2,4,6}:{(95,1),(96,1),(98,1),(136,1),(139,1)}
       118:{2,4,5,7}:{(95,1),(97,1),(99,1),(137,1),(139,1),(140,1),(166,1)}
       119:{2,3,5,7}:{(96,1),(100,1),(112,1),(139,1),(141,1),(149,1),(162,1),(166,1)}
       120:{2,3,6}:{(97,1),(101,1),(140,1)}
       121:{1,4,5,6}:{(98,1),(103,1),(113,1),(138,1),(142,1),(144,1)}
       122:{1,4,7}:{(98,1),(100,1),(104,1),(139,1)}
       123:{1,4,6}:{(99,1),(101,1),(105,1),(140,1),(144,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(143,1)}
       125:{2,4,5,7}:{(103,1),(104,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(143,1),(146,1)}
       127:{2,5,6}:{(105,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       130:{4,5,6}:{(109,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,6}:{(116,1),(117,1),(151,1),(152,1)}
       137:{3,4,5,7}:{(116,1),(118,1),(152,1),(153,1),(169,1)}
       138:{2,4,5,6}:{(117,1),(121,1),(132,1),(151,1),(154,1),(156,1),(170,1)}
       139:{2,4,7}:{(117,1),(119,1),(122,1),(152,1)}
       140:{2,4,6}:{(118,1),(120,1),(123,1),(153,1),(156,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(155,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(122,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(155,1),(158,1)}
       144:{1,5,6}:{(123,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(129,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(129,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(136,1),(138,1),(162,1)}
       152:{3,4,7}:{(136,1),(139,1),(162,1)}
       153:{3,4,6}:{(137,1),(140,1),(164,1)}
       154:{2,4,5,7}:{(138,1),(139,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,4,6,7}:{(139,1),(140,1),(141,1),(143,1),(163,1),(166,1)}
       156:{2,5,6}:{(140,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(152,1),(154,1),(168,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(174,1)}
       164:{3,5,6}:{(153,1),(156,1),(169,1),(170,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(169,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       170:{4,5,6}:{(164,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2240 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

2241 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(30,1),(123,1),(124,1),(135,1),(137,1),(184,1),(189,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(19,1),(99,1),(101,1),(106,1),(109,1),(166,1),(168,1),(218,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(49,1),(97,1),(212,1),(217,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(27,1),(69,1),(117,1),(123,1),(135,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(36,1),(79,1),(82,1),(196,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(33,1),(76,1),(83,1),(243,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,2,4,5,7}:{(4,1),(16,1),(17,1),(48,1),(51,1),(96,1),(99,1),(101,1),(153,1),(218,1),(219,1),(220,1),(263,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(44,1),(50,1),(89,1),(99,1),(106,1),(147,1),(166,1),(204,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(19,1),(20,1),(200,1),(203,1)}
        10:{2,3,5,7}:{(4,1),(16,1),(21,1),(22,1),(59,1),(224,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(19,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(20,1),(24,1),(25,1),(97,1)}
        14:{2,3,5,6,7}:{(9,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(30,1),(32,1),(33,1),(75,1),(184,1),(245,1),(246,1)}
        17:{1,2,4,6}:{(7,1),(11,1),(33,1),(34,1),(70,1),(76,1),(183,1),(243,1),(281,1)}
        18:{2,4,6,7}:{(8,1),(11,1),(35,1),(36,1),(79,1),(179,1),(196,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(12,1),(36,1),(37,1),(80,1),(231,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(27,1),(37,1),(38,1),(123,1)}
        21:{2,3,4,7}:{(10,1),(32,1),(39,1),(79,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(33,1)}
        23:{2,5,6}:{(11,1),(12,1),(36,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(37,1),(41,1),(76,1)}
        25:{3,4,5,6}:{(13,1),(38,1),(125,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(19,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(20,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{2,3,5,7}:{(16,1),(48,1),(49,1),(96,1),(263,1),(264,1),(265,1)}
        31:{1,2,4,6,7}:{(17,1),(18,1),(50,1),(51,1),(94,1),(99,1),(204,1),(205,1),(219,1)}
        32:{1,3,4,7}:{(16,1),(21,1),(48,1),(52,1),(99,1),(154,1),(268,1)}
        33:{1,3,6}:{(16,1),(17,1),(22,1),(49,1),(212,1)}
        34:{1,2,5,6}:{(17,1),(23,1),(51,1),(53,1),(96,1),(152,1),(255,1)}
        35:{2,3,6,7}:{(18,1),(22,1),(50,1),(56,1),(89,1),(224,1)}
        36:{2,5,7}:{(18,1),(19,1),(23,1)}
        37:{1,4,5,7}:{(19,1),(20,1),(24,1),(44,1),(57,1),(99,1)}
        38:{3,4,5,7}:{(20,1),(25,1),(45,1),(154,1),(200,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(52,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(53,1),(56,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(58,1),(61,1),(62,1),(102,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(36,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(37,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(38,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{2,4,7}:{(30,1),(32,1),(70,1),(283,1)}
        49:{2,3,6}:{(30,1),(33,1),(70,1),(281,1)}
        50:{1,3,6,7}:{(31,1),(33,1),(35,1),(69,1),(73,1),(245,1)}
        51:{1,2,5,7}:{(31,1),(34,1),(36,1),(73,1),(122,1),(231,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(39,1),(70,1),(75,1),(76,1),(125,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(40,1),(71,1),(73,1),(75,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(41,1),(74,1),(76,1),(77,1),(85,1),(124,1),(131,1),(139,1),(172,1),(183,1),(192,1),(193,1),(230,1),(236,1),(241,1),(243,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        55:{2,3,4,6,7}:{(35,1),(39,1),(72,1),(78,1),(79,1),(116,1),(133,1),(174,1),(185,1),(238,1)}
        56:{2,3,5,7}:{(35,1),(36,1),(40,1),(73,1),(79,1),(80,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(41,1),(65,1),(79,1),(80,1)}
        58:{1,3,4,5,7}:{(37,1),(38,1),(42,1),(66,1),(80,1),(81,1),(119,1),(128,1),(136,1),(173,1),(181,1),(237,1)}
        59:{2,3,5}:{(39,1),(75,1),(82,1)}
        60:{2,4,6}:{(40,1),(76,1),(79,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(80,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(81,1),(84,1),(85,1),(131,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(51,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(56,1),(86,1),(88,1),(89,1),(104,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(57,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(58,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(49,1),(50,1),(94,1),(95,1),(212,1),(264,1)}
        70:{2,4,6}:{(48,1),(49,1),(52,1),(96,1)}
        71:{2,3,5,6}:{(49,1),(53,1),(95,1),(96,1),(97,1),(152,1),(155,1),(212,1)}
        72:{1,3,4,6,7}:{(50,1),(52,1),(55,1),(94,1),(98,1),(99,1),(154,1),(157,1),(204,1),(212,1),(214,1),(262,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(53,1),(56,1),(95,1),(99,1)}
        74:{1,2,4,5,7}:{(51,1),(54,1),(57,1),(87,1),(99,1),(100,1),(108,1),(141,1),(153,1),(159,1),(167,1),(203,1),(210,1),(218,1),(219,1),(256,1),(263,1),(288,1),(292,1)}
        75:{1,3,5}:{(52,1),(59,1),(96,1),(101,1),(155,1)}
        76:{1,4,6}:{(53,1),(60,1),(97,1),(99,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(61,1),(100,1),(102,1),(103,1),(155,1),(212,1),(215,1),(221,1),(260,1),(262,1),(307,1),(314,1)}
        78:{2,3,5,7}:{(55,1),(59,1),(98,1),(104,1),(105,1),(145,1),(203,1)}
        79:{2,4,7}:{(56,1),(60,1),(99,1),(106,1)}
        80:{3,5,7}:{(57,1),(61,1),(89,1),(106,1)}
        81:{2,4,5,7}:{(58,1),(62,1),(90,1),(107,1),(108,1),(159,1),(167,1),(203,1)}
        82:{2,4,5}:{(59,1),(60,1),(101,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(106,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(107,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(108,1),(111,1),(162,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(73,1),(112,1),(113,1),(114,1),(126,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(74,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(243,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(79,1),(113,1),(115,1),(116,1),(133,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(80,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(81,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(72,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(73,1),(122,1),(123,1),(184,1)}
        96:{2,5}:{(70,1),(75,1)}
        97:{2,4,6}:{(71,1),(76,1),(123,1),(124,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(78,1),(122,1),(126,1),(127,1),(184,1),(231,1)}
        99:{1,4,7}:{(73,1),(76,1),(79,1),(123,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(80,1),(114,1),(128,1),(129,1),(184,1),(237,1),(245,1),(300,1)}
       101:{1,4,5}:{(75,1),(76,1),(82,1),(124,1)}
       102:{1,3,4,6}:{(76,1),(77,1),(83,1),(125,1),(128,1),(130,1),(131,1),(280,1),(303,1),(312,1)}
       103:{2,3,5,6}:{(77,1),(129,1),(131,1),(132,1),(139,1),(186,1),(198,1),(230,1),(238,1),(241,1),(242,1),(281,1)}
       104:{2,3,5,6}:{(78,1),(126,1),(133,1),(176,1),(230,1),(238,1)}
       105:{2,4,5,7}:{(78,1),(79,1),(82,1),(127,1),(133,1),(134,1)}
       106:{3,4,7}:{(79,1),(80,1),(83,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(84,1),(117,1),(135,1),(136,1),(237,1)}
       108:{1,4,5,7}:{(81,1),(85,1),(118,1),(136,1),(190,1),(231,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(131,1),(135,1),(137,1),(138,1),(242,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(136,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(99,1),(140,1),(141,1),(157,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(100,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(106,1),(145,1),(164,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(107,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(108,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(98,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(99,1),(154,1)}
       124:{2,4,5}:{(96,1),(97,1),(101,1),(155,1)}
       125:{3,4,6}:{(97,1),(154,1),(155,1),(212,1)}
       126:{1,3,5,6}:{(98,1),(104,1),(152,1),(157,1),(212,1),(255,1),(262,1)}
       127:{1,4,5,7}:{(98,1),(99,1),(101,1),(105,1),(153,1),(157,1)}
       128:{1,3,4,7}:{(99,1),(100,1),(102,1),(106,1),(154,1),(159,1),(261,1),(292,1),(308,1)}
       129:{2,3,5,7}:{(100,1),(103,1),(143,1),(159,1),(160,1),(167,1),(203,1),(224,1),(263,1),(264,1)}
       130:{1,3,4,5}:{(101,1),(102,1),(109,1),(155,1),(161,1),(215,1),(294,1),(310,1),(314,1)}
       131:{2,4,6}:{(102,1),(103,1),(159,1),(161,1),(162,1)}
       132:{1,3,5,6}:{(103,1),(160,1),(162,1),(163,1),(215,1),(221,1),(255,1),(262,1)}
       133:{2,4,6}:{(104,1),(105,1),(157,1),(164,1)}
       134:{3,4,5,7}:{(105,1),(106,1),(109,1),(145,1),(164,1)}
       135:{2,3,4,7}:{(106,1),(107,1),(110,1),(159,1),(166,1),(261,1),(264,1)}
       136:{1,3,5,7}:{(107,1),(108,1),(111,1),(147,1),(166,1),(167,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(161,1),(168,1),(265,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(162,1),(166,1),(168,1),(169,1),(221,1)}
       139:{2,5,6}:{(111,1),(167,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(128,1),(171,1),(173,1),(174,1),(188,1)}
       143:{2,3,6,7}:{(114,1),(129,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(133,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(135,1),(174,1),(177,1),(178,1),(194,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(136,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(126,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(125,1),(184,1)}
       155:{3,5}:{(124,1),(125,1)}
       156:{2,3,4,6}:{(125,1),(131,1),(185,1),(186,1),(187,1),(198,1),(238,1),(249,1),(312,1)}
       157:{1,4,6}:{(126,1),(127,1),(133,1),(183,1)}
       158:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(134,1),(173,1),(184,1),(188,1),(189,1),(226,1),(239,1),(272,1),(300,1)}
       159:{2,4,7}:{(128,1),(129,1),(131,1),(190,1)}
       160:{1,3,5,7}:{(129,1),(132,1),(175,1),(190,1),(191,1),(231,1),(245,1)}
       161:{2,4,5}:{(130,1),(131,1),(186,1),(192,1),(241,1)}
       162:{1,4,6}:{(131,1),(132,1),(190,1),(192,1)}
       163:{1,2,5,6}:{(132,1),(139,1),(191,1),(193,1),(241,1),(281,1)}
       164:{3,4,6}:{(133,1),(134,1),(176,1)}
       165:{2,3,4,5,7}:{(134,1),(135,1),(137,1),(177,1),(189,1),(194,1),(195,1),(282,1),(300,1),(302,1),(313,1)}
       166:{1,3,4,7}:{(135,1),(136,1),(138,1),(190,1),(196,1),(245,1)}
       167:{2,5,7}:{(136,1),(139,1),(179,1),(196,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(192,1),(197,1),(246,1)}
       169:{2,4,6}:{(138,1),(139,1),(196,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(157,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(159,1),(203,1),(204,1),(217,1)}
       175:{1,3,6,7}:{(143,1),(160,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(164,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(166,1),(204,1),(207,1),(208,1),(211,1),(222,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(167,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(157,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(155,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(156,1),(159,1),(213,1),(214,1),(224,1),(308,1)}
       186:{2,3,5}:{(155,1),(156,1),(161,1),(215,1),(314,1)}
       187:{1,3,4,6}:{(156,1),(162,1),(214,1),(215,1),(216,1),(221,1),(262,1),(268,1)}
       188:{1,3,4,6}:{(157,1),(158,1),(164,1),(202,1),(212,1),(217,1),(250,1),(262,1),(287,1),(307,1)}
       189:{2,4,5,7}:{(158,1),(159,1),(161,1),(203,1),(213,1),(217,1),(218,1),(263,1)}
       190:{1,4,7}:{(159,1),(160,1),(162,1)}
       191:{1,2,5,7}:{(160,1),(163,1),(167,1),(205,1),(219,1),(263,1)}
       192:{1,4,5}:{(161,1),(162,1),(215,1)}
       193:{1,2,4,6}:{(162,1),(163,1),(169,1),(216,1),(219,1),(220,1),(221,1)}
       194:{2,3,4,6}:{(164,1),(165,1),(206,1),(217,1),(222,1),(295,1),(307,1),(309,1)}
       195:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(207,1),(218,1),(222,1),(223,1),(261,1),(267,1),(292,1),(294,1),(310,1)}
       196:{2,4,7}:{(166,1),(167,1),(169,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(221,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(286,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(188,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(190,1),(231,1),(243,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(191,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(194,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(196,1),(234,1),(235,1),(247,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(186,1),(189,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(187,1),(190,1),(239,1),(240,1),(245,1)}
       215:{1,3,5}:{(186,1),(187,1),(192,1),(241,1)}
       216:{2,4,6}:{(187,1),(240,1),(241,1),(242,1),(281,1),(283,1)}
       217:{2,4,6}:{(188,1),(189,1),(230,1),(238,1),(243,1),(281,1)}
       218:{1,4,5,7}:{(189,1),(190,1),(192,1),(231,1),(239,1),(243,1)}
       219:{1,2,4,7}:{(190,1),(191,1),(193,1),(196,1),(240,1),(245,1)}
       220:{1,2,4,5}:{(192,1),(193,1),(197,1),(241,1),(246,1),(283,1)}
       221:{1,3,6}:{(193,1),(198,1),(242,1),(245,1),(246,1)}
       222:{1,3,4,6}:{(194,1),(195,1),(233,1),(243,1),(247,1),(280,1),(284,1),(303,1)}
       223:{2,4,5,7}:{(195,1),(196,1),(197,1),(234,1),(247,1),(248,1),(279,1),(304,1)}
       224:{2,3,7}:{(196,1),(198,1),(245,1)}
       225:{2,3,5}:{(197,1),(198,1),(246,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(217,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(219,1),(254,1),(256,1),(257,1),(266,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(222,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(224,1),(257,1),(259,1),(269,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(217,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(215,1),(218,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(216,1),(263,1),(264,1)}
       241:{2,5}:{(215,1),(216,1)}
       242:{2,3,6}:{(216,1),(221,1),(264,1),(265,1)}
       243:{1,4,6}:{(217,1),(218,1),(255,1),(262,1)}
       244:{1,2,4,5,7}:{(218,1),(219,1),(220,1),(223,1),(256,1),(263,1),(266,1),(267,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       245:{1,3,7}:{(219,1),(221,1),(224,1),(264,1)}
       246:{1,3,5}:{(220,1),(221,1),(225,1),(265,1),(268,1)}
       247:{2,4,6}:{(222,1),(223,1),(258,1),(269,1)}
       248:{2,3,5,7}:{(223,1),(224,1),(225,1),(267,1),(269,1),(270,1),(298,1)}
       249:{2,3,4}:{(225,1),(268,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(243,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(245,1),(275,1),(277,1),(284,1)}
       258:{2,5,6}:{(233,1),(234,1),(247,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(243,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(241,1),(281,1)}
       264:{2,3,7}:{(240,1),(242,1),(245,1)}
       265:{2,3,5}:{(241,1),(242,1),(246,1),(283,1)}
       266:{1,2,4,6}:{(243,1),(244,1),(247,1),(276,1),(281,1),(284,1),(299,1),(303,1),(305,1)}
       267:{1,3,5,7}:{(244,1),(245,1),(246,1),(248,1),(282,1),(284,1),(285,1),(300,1),(306,1)}
       268:{1,3,4}:{(246,1),(249,1),(283,1)}
       269:{2,3,6}:{(247,1),(248,1),(284,1)}
       270:{2,3,4,7}:{(248,1),(249,1),(279,1),(285,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(266,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(269,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(265,1),(267,1),(295,1),(296,1),(311,1)}
       283:{2,4}:{(265,1),(268,1)}
       284:{1,3,6}:{(266,1),(267,1),(269,1),(295,1),(307,1)}
       285:{1,3,4,7}:{(267,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       286:{2,3,4,6}:{(269,1),(270,1),(293,1),(297,1),(298,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(284,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(284,1),(305,1)}
       296:{2,4,7}:{(282,1),(283,1),(285,1),(305,1)}
       297:{1,3,4,6}:{(284,1),(285,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(286,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2242 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(40,1),(48,1),(79,1),(87,1),(89,1),(92,1),(144,1),(185,1),(189,1),(224,1),(225,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(63,1),(105,1),(118,1),(161,1),(168,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(63,1),(67,1),(106,1),(115,1),(161,1),(167,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(60,1),(108,1),(114,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(41,1),(78,1),(134,1),(141,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(42,1),(92,1),(144,1),(189,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(226,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(38,1),(84,1),(87,1),(88,1),(89,1),(144,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(65,1),(103,1),(119,1),(160,1),(168,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(54,1),(56,1),(63,1),(103,1),(111,1),(168,1),(169,1),(209,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(166,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(114,1),(209,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(207,1),(210,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(63,1),(115,1),(116,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(60,1),(123,1),(235,1),(236,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(60,1),(70,1),(114,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(43,1),(76,1),(90,1),(141,1),(148,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(189,1),(220,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(33,1),(35,1),(36,1),(139,1),(189,1),(192,1)}
        21:{2,3,4,6}:{(16,1),(37,1),(38,1),(39,1),(84,1),(88,1),(146,1),(193,1),(226,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(40,1),(41,1),(134,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(36,1),(41,1),(42,1),(44,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(42,1),(43,1),(84,1),(144,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(41,1),(44,1),(45,1),(80,1),(85,1),(140,1),(150,1),(190,1),(195,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(90,1),(94,1)}
        28:{2,4,5}:{(15,1),(16,1),(38,1),(48,1),(87,1),(146,1)}
        29:{1,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(87,1),(144,1)}
        31:{1,2,4,5,6}:{(32,1),(50,1),(75,1),(97,1),(133,1),(147,1),(153,1),(182,1),(189,1),(194,1),(196,1),(197,1),(220,1),(227,1),(244,1)}
        32:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(52,1),(100,1),(103,1),(119,1),(158,1),(167,1),(173,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(20,1),(52,1),(166,1),(173,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(209,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1),(56,1),(63,1),(103,1)}
        36:{3,4,6,7}:{(20,1),(56,1),(109,1),(209,1),(210,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(58,1),(59,1),(116,1),(171,1),(210,1)}
        38:{2,3,5}:{(21,1),(28,1),(60,1),(212,1),(236,1)}
        39:{1,3,4,6}:{(21,1),(29,1),(59,1),(60,1),(61,1),(70,1),(108,1),(114,1),(123,1),(165,1),(208,1)}
        40:{1,4,5,6}:{(22,1),(55,1),(62,1),(160,1),(166,1),(213,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(56,1),(62,1),(63,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(26,1),(63,1),(64,1),(66,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(64,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(25,1),(62,1),(66,1),(109,1),(114,1),(166,1),(209,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(28,1),(58,1),(63,1),(66,1),(67,1),(115,1),(171,1),(212,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,5,7}:{(27,1),(30,1),(65,1),(68,1),(115,1)}
        48:{1,4,5}:{(28,1),(29,1),(60,1),(165,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(61,1),(68,1),(69,1),(70,1)}
        50:{1,3,5,6}:{(31,1),(51,1),(71,1),(72,1),(175,1),(201,1),(209,1),(215,1),(236,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(50,1),(73,1),(74,1),(190,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(35,1),(75,1),(76,1),(90,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(36,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{2,4,5,6}:{(35,1),(40,1),(75,1),(81,1),(89,1),(133,1),(139,1),(189,1),(227,1)}
        56:{3,5,7}:{(35,1),(36,1),(81,1)}
        57:{2,3,4,6,7}:{(36,1),(37,1),(42,1),(77,1),(82,1),(83,1),(84,1),(128,1),(139,1),(143,1),(179,1),(192,1),(193,1),(226,1),(240,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(84,1),(85,1),(190,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(94,1),(137,1),(188,1)}
        60:{1,3,5}:{(38,1),(39,1),(48,1),(87,1),(225,1)}
        61:{2,4,6}:{(39,1),(86,1),(87,1),(88,1),(144,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(81,1),(89,1),(195,1)}
        63:{2,5,7}:{(41,1),(42,1),(89,1),(90,1)}
        64:{1,4,6,7}:{(42,1),(43,1),(46,1),(90,1),(92,1)}
        65:{1,2,6,7}:{(43,1),(47,1),(144,1)}
        66:{2,4,6}:{(44,1),(45,1),(84,1),(89,1),(92,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(48,1),(85,1),(90,1),(92,1),(188,1),(225,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(86,1),(94,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(87,1),(95,1),(146,1)}
        70:{1,3,6}:{(49,1),(88,1),(94,1),(95,1)}
        71:{1,3,4,6}:{(50,1),(73,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(74,1),(97,1),(98,1),(133,1),(151,1),(179,1),(197,1),(198,1),(220,1)}
        73:{1,3,4,7}:{(51,1),(71,1),(100,1),(173,1),(210,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(72,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(55,1),(102,1),(118,1),(166,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(56,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(61,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{3,4,5,7}:{(56,1),(109,1),(110,1),(210,1),(236,1)}
        81:{3,5,6}:{(55,1),(56,1),(109,1),(209,1),(236,1)}
        82:{2,3,5,7}:{(56,1),(57,1),(63,1),(103,1),(110,1),(111,1),(112,1),(212,1),(236,1),(243,1)}
        83:{1,3,4,6,7}:{(57,1),(59,1),(64,1),(104,1),(112,1),(113,1),(114,1),(120,1),(156,1),(162,1),(166,1),(173,1),(174,1),(201,1),(207,1),(208,1),(209,1),(210,1),(234,1),(242,1)}
        84:{2,3,6}:{(58,1),(66,1),(114,1),(209,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(114,1),(115,1)}
        86:{2,4,7}:{(59,1),(61,1),(115,1),(116,1)}
        87:{2,5}:{(60,1),(61,1)}
        88:{2,3,6}:{(61,1),(70,1),(108,1),(116,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(212,1)}
        90:{1,5,7}:{(63,1),(64,1),(118,1)}
        91:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(113,1),(119,1),(120,1),(121,1),(173,1),(200,1),(230,1),(242,1)}
        92:{1,4,6}:{(66,1),(67,1),(114,1),(118,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(115,1),(119,1),(121,1),(122,1),(167,1),(171,1),(173,1),(212,1),(213,1)}
        94:{1,3,7}:{(68,1),(70,1),(116,1)}
        95:{1,3,5}:{(69,1),(70,1),(117,1),(123,1)}
        96:{1,3,4,5}:{(71,1),(125,1),(175,1),(213,1),(217,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(100,1),(125,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(101,1),(126,1),(127,1),(160,1),(175,1),(178,1),(201,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(96,1),(129,1),(130,1),(140,1),(180,1),(190,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(97,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(98,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(81,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(86,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(87,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(88,1),(137,1),(138,1)}
       109:{3,4,6}:{(80,1),(81,1),(139,1)}
       110:{2,4,5,7}:{(80,1),(82,1),(139,1),(140,1),(192,1),(227,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(84,1),(89,1),(133,1),(139,1),(141,1),(179,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(90,1),(134,1),(140,1),(141,1),(142,1),(190,1),(195,1),(225,1),(241,1),(244,1)}
       113:{2,4,6,7}:{(83,1),(86,1),(142,1),(143,1),(144,1),(181,1),(189,1),(192,1),(193,1),(220,1),(240,1)}
       114:{1,3,6}:{(84,1),(85,1),(92,1),(144,1)}
       115:{2,5,7}:{(85,1),(86,1),(87,1),(144,1)}
       116:{2,3,7}:{(86,1),(88,1),(94,1),(137,1)}
       117:{2,3,5}:{(87,1),(88,1),(95,1),(138,1),(146,1)}
       118:{1,5,6}:{(89,1),(90,1),(92,1),(225,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(142,1),(147,1),(148,1),(244,1)}
       120:{1,3,6,7}:{(91,1),(94,1),(143,1),(148,1),(149,1),(219,1),(238,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(144,1),(147,1),(149,1),(189,1),(193,1),(194,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(95,1),(145,1),(149,1),(150,1),(190,1),(195,1)}
       123:{1,3,4}:{(95,1),(146,1)}
       124:{2,3,4,6}:{(97,1),(128,1),(151,1),(152,1),(179,1),(198,1),(226,1),(229,1),(240,1)}
       125:{2,4,5}:{(96,1),(97,1),(151,1),(153,1),(197,1),(229,1)}
       126:{1,4,6}:{(97,1),(98,1),(131,1),(153,1)}
       127:{1,2,5,6}:{(98,1),(132,1),(154,1),(197,1),(220,1)}
       128:{2,3,4,7}:{(100,1),(124,1),(155,1),(156,1),(203,1),(210,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(109,1),(157,1),(166,1),(201,1),(209,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(125,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(126,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(127,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(113,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(115,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(116,1)}
       138:{1,3,5}:{(107,1),(108,1),(117,1),(165,1)}
       139:{2,4,6}:{(109,1),(110,1),(111,1),(166,1)}
       140:{1,4,5,7}:{(110,1),(112,1),(166,1),(167,1),(173,1),(207,1),(213,1),(235,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(160,1),(166,1),(168,1),(201,1),(209,1)}
       142:{2,5,7}:{(112,1),(113,1),(168,1),(212,1),(243,1)}
       143:{2,3,6,7}:{(113,1),(116,1),(120,1),(162,1),(169,1),(170,1),(203,1),(209,1),(232,1)}
       144:{2,6}:{(114,1),(115,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(122,1),(164,1),(170,1),(171,1),(212,1)}
       146:{2,4}:{(117,1),(123,1),(165,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(121,1),(168,1),(172,1),(212,1),(230,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(169,1),(172,1),(173,1)}
       149:{1,3,6}:{(121,1),(122,1),(170,1),(209,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(171,1),(173,1),(174,1),(210,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,3,4,6}:{(124,1),(126,1),(156,1),(175,1),(176,1),(178,1),(201,1),(215,1),(217,1),(237,1),(242,1)}
       153:{1,4,5}:{(125,1),(126,1),(175,1),(237,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(159,1),(176,1),(177,1),(178,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(151,1),(179,1),(180,1),(190,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(152,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(153,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(154,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(142,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(143,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(144,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(146,1)}
       166:{1,4,6}:{(139,1),(140,1),(141,1),(189,1)}
       167:{2,4,5,7}:{(140,1),(142,1),(189,1),(190,1),(192,1),(227,1)}
       168:{2,5,6}:{(141,1),(142,1),(144,1),(189,1),(220,1)}
       169:{2,3,5,7}:{(142,1),(143,1),(148,1),(186,1),(190,1),(191,1),(192,1)}
       170:{2,3,6}:{(144,1),(145,1),(149,1),(187,1),(193,1)}
       171:{2,4,7}:{(145,1),(146,1),(150,1),(188,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(149,1),(191,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,4,7}:{(148,1),(192,1),(194,1)}
       174:{1,3,4,6}:{(149,1),(150,1),(193,1),(194,1),(195,1),(226,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(197,1),(244,1)}
       176:{2,4,6}:{(152,1),(181,1),(197,1),(198,1),(220,1),(229,1)}
       177:{1,2,4,5}:{(153,1),(154,1),(197,1),(199,1),(229,1)}
       178:{1,3,6}:{(154,1),(184,1),(198,1),(199,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(209,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(175,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(176,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(177,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(178,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(168,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(169,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(170,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(171,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       190:{3,5,7}:{(167,1),(209,1),(210,1),(236,1)}
       191:{2,3,5,6}:{(168,1),(169,1),(170,1),(172,1),(206,1),(209,1),(211,1),(212,1),(232,1),(236,1),(243,1)}
       192:{2,4,7}:{(169,1),(173,1),(207,1),(210,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(208,1),(212,1)}
       194:{1,4,6}:{(172,1),(173,1),(211,1),(213,1)}
       195:{1,3,5}:{(174,1),(212,1),(213,1),(236,1)}
       196:{1,2,4,6}:{(176,1),(200,1),(214,1),(215,1),(230,1),(237,1),(242,1)}
       197:{2,5}:{(175,1),(176,1)}
       198:{2,3,6}:{(176,1),(178,1),(203,1),(215,1),(216,1)}
       199:{1,3,5}:{(177,1),(178,1),(216,1),(217,1)}
       200:{1,2,4,7}:{(181,1),(196,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(197,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(198,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(189,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(190,1),(199,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(191,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(192,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(193,1),(225,1)}
       209:{3,6}:{(189,1),(190,1)}
       210:{3,4,7}:{(190,1),(192,1),(226,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(224,1),(226,1),(227,1)}
       212:{2,5}:{(193,1),(195,1),(225,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(197,1),(228,1),(244,1)}
       215:{1,3,6}:{(196,1),(198,1),(219,1),(228,1)}
       216:{2,3,5}:{(197,1),(198,1),(199,1),(228,1),(229,1)}
       217:{1,3,4}:{(199,1),(229,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(214,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(215,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(216,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(209,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(210,1),(217,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(211,1),(235,1)}
       225:{1,5}:{(208,1),(212,1)}
       226:{3,4,6}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4,5}:{(211,1),(212,1),(213,1),(235,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(216,1),(237,1)}
       229:{2,4}:{(216,1),(217,1),(237,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(228,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(229,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(226,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(237,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(236,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2243 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2244 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2245 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2246 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

2247 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(41,1),(44,1),(76,1),(86,1),(92,1),(93,1),(145,1),(181,1),(193,1),(220,1),(221,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(68,1),(108,1),(122,1),(162,1),(171,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(25,1),(27,1),(66,1),(68,1),(104,1),(116,1),(162,1),(174,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(59,1),(105,1),(115,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(45,1),(79,1),(133,1),(144,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(228,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(46,1),(93,1),(145,1),(193,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(196,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(36,1),(84,1),(86,1),(91,1),(92,1),(145,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(72,1),(102,1),(126,1),(156,1),(171,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(29,1),(54,1),(60,1),(68,1),(102,1),(114,1),(171,1),(175,1),(213,1)}
        11:{1,3,4,5}:{(5,1),(24,1),(59,1),(125,1),(233,1),(237,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(25,1),(170,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(27,1),(206,1),(216,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(27,1),(28,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(29,1),(115,1),(213,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(29,1),(30,1),(68,1),(116,1),(121,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(59,1),(71,1),(115,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(49,1),(74,1),(96,1),(144,1),(154,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(193,1),(218,1)}
        20:{1,2,4,5,6}:{(33,1),(35,1),(73,1),(81,1),(129,1),(140,1),(151,1),(180,1),(189,1),(191,1),(193,1),(198,1),(218,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(12,1),(32,1),(37,1),(38,1),(143,1),(193,1),(197,1)}
        22:{2,3,4,6}:{(14,1),(36,1),(39,1),(40,1),(84,1),(91,1),(147,1),(195,1),(228,1)}
        23:{1,3,4,5,7}:{(11,1),(13,1),(42,1),(43,1),(45,1),(85,1),(87,1),(148,1),(153,1),(196,1),(199,1)}
        24:{2,4,5}:{(11,1),(14,1),(36,1),(44,1),(86,1),(147,1)}
        25:{1,4,5,7}:{(12,1),(37,1),(41,1),(45,1),(133,1)}
        26:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(38,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,4,6}:{(14,1),(17,1),(44,1),(47,1)}
        29:{2,3,6,7}:{(15,1),(16,1),(46,1),(49,1),(84,1),(145,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(96,1),(98,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(86,1),(145,1)}
        32:{1,4,6,7}:{(18,1),(21,1),(51,1),(170,1),(178,1)}
        33:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(53,1),(102,1),(106,1),(126,1),(161,1),(174,1),(178,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(53,1),(55,1),(56,1),(166,1),(200,1),(212,1),(213,1),(237,1)}
        36:{2,3,5}:{(22,1),(24,1),(59,1),(215,1),(237,1)}
        37:{2,4,5,7}:{(21,1),(25,1),(51,1),(57,1),(60,1),(68,1),(102,1)}
        38:{3,4,6,7}:{(21,1),(60,1),(113,1),(213,1),(216,1)}
        39:{2,3,4,7}:{(22,1),(27,1),(58,1),(62,1),(121,1),(173,1),(216,1)}
        40:{1,3,4,6}:{(22,1),(28,1),(59,1),(62,1),(63,1),(71,1),(105,1),(115,1),(125,1),(159,1),(203,1)}
        41:{1,4,5,6}:{(25,1),(57,1),(64,1),(156,1),(170,1),(217,1)}
        42:{1,3,4,6}:{(23,1),(64,1),(65,1),(113,1),(115,1),(170,1),(213,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(27,1),(58,1),(65,1),(66,1),(68,1),(116,1),(173,1),(215,1)}
        44:{1,4,5}:{(24,1),(28,1),(59,1),(159,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(60,1),(64,1),(68,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(29,1),(65,1),(68,1),(69,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(63,1),(67,1),(70,1),(71,1)}
        49:{1,3,6,7}:{(29,1),(30,1),(69,1),(72,1),(115,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(70,1),(72,1),(116,1)}
        51:{1,4,5,7}:{(32,1),(37,1),(73,1),(74,1),(96,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(38,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(35,1),(77,1),(78,1),(196,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{1,3,4,6}:{(35,1),(77,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(82,1),(129,1),(139,1),(179,1),(189,1),(192,1),(218,1)}
        57:{2,4,5,6}:{(37,1),(41,1),(73,1),(83,1),(92,1),(129,1),(143,1),(193,1),(229,1)}
        58:{2,3,5,7}:{(36,1),(39,1),(43,1),(84,1),(85,1),(196,1)}
        59:{1,3,5}:{(36,1),(40,1),(44,1),(86,1),(221,1)}
        60:{3,5,7}:{(37,1),(38,1),(83,1)}
        61:{2,3,4,6,7}:{(38,1),(39,1),(46,1),(75,1),(84,1),(88,1),(89,1),(136,1),(143,1),(150,1),(179,1),(195,1),(197,1),(228,1),(239,1)}
        62:{1,3,4,7}:{(39,1),(40,1),(47,1),(85,1),(90,1),(98,1),(135,1),(183,1)}
        63:{2,4,6}:{(40,1),(86,1),(90,1),(91,1),(145,1),(147,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(83,1),(92,1),(199,1)}
        65:{2,4,6}:{(42,1),(43,1),(84,1),(92,1),(93,1),(145,1)}
        66:{1,4,5,7}:{(43,1),(44,1),(47,1),(85,1),(93,1),(96,1),(183,1),(221,1)}
        67:{1,2,4,5}:{(44,1),(48,1),(86,1),(95,1),(147,1)}
        68:{2,5,7}:{(45,1),(46,1),(92,1),(96,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(49,1),(93,1),(96,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(90,1),(98,1)}
        71:{1,3,6}:{(48,1),(91,1),(95,1),(98,1)}
        72:{1,2,6,7}:{(49,1),(50,1),(145,1)}
        73:{1,4,5,6}:{(51,1),(57,1),(99,1),(122,1),(170,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(60,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(63,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(55,1),(106,1),(178,1),(216,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{1,3,4,5}:{(55,1),(109,1),(166,1),(211,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(106,1),(109,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(107,1),(111,1),(112,1),(156,1),(166,1),(169,1),(200,1)}
        83:{3,5,6}:{(57,1),(60,1),(113,1),(213,1),(237,1)}
        84:{2,3,6}:{(58,1),(65,1),(115,1),(213,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(62,1),(66,1),(115,1),(116,1)}
        86:{2,5}:{(59,1),(63,1)}
        87:{3,4,5,7}:{(60,1),(113,1),(118,1),(216,1),(237,1)}
        88:{2,3,5,7}:{(60,1),(61,1),(68,1),(102,1),(114,1),(118,1),(119,1),(215,1),(237,1),(243,1)}
        89:{1,3,4,6,7}:{(61,1),(62,1),(69,1),(103,1),(115,1),(119,1),(120,1),(127,1),(163,1),(164,1),(170,1),(177,1),(178,1),(200,1),(203,1),(206,1),(213,1),(216,1),(232,1),(242,1)}
        90:{2,4,7}:{(62,1),(63,1),(116,1),(121,1)}
        91:{2,3,6}:{(63,1),(71,1),(105,1),(117,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(215,1)}
        93:{1,4,6}:{(65,1),(66,1),(115,1),(122,1)}
        94:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(116,1),(123,1),(124,1),(126,1),(173,1),(174,1),(178,1),(215,1),(217,1)}
        95:{1,3,5}:{(67,1),(71,1),(117,1),(125,1)}
        96:{1,5,7}:{(68,1),(69,1),(122,1)}
        97:{1,2,4,6,7}:{(69,1),(70,1),(72,1),(120,1),(123,1),(126,1),(127,1),(178,1),(207,1),(230,1),(242,1)}
        98:{1,3,7}:{(70,1),(71,1),(121,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(83,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(86,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(80,1),(87,1),(128,1),(132,1),(148,1),(184,1),(196,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(90,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(91,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(81,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(82,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{2,4,5}:{(80,1),(81,1),(139,1),(140,1),(189,1),(227,1)}
       110:{2,3,4,6}:{(81,1),(136,1),(139,1),(141,1),(179,1),(192,1),(227,1),(228,1),(239,1)}
       111:{1,4,6}:{(81,1),(82,1),(137,1),(140,1)}
       112:{1,2,5,6}:{(82,1),(138,1),(142,1),(189,1),(218,1)}
       113:{3,4,6}:{(83,1),(87,1),(143,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(88,1),(92,1),(129,1),(143,1),(144,1),(179,1)}
       115:{1,3,6}:{(84,1),(85,1),(93,1),(145,1)}
       116:{2,5,7}:{(85,1),(86,1),(90,1),(145,1)}
       117:{2,3,5}:{(86,1),(91,1),(95,1),(131,1),(147,1)}
       118:{2,4,5,7}:{(87,1),(88,1),(143,1),(148,1),(197,1),(229,1)}
       119:{1,3,5,7}:{(88,1),(89,1),(96,1),(133,1),(144,1),(148,1),(149,1),(196,1),(199,1),(221,1),(240,1),(244,1)}
       120:{2,4,6,7}:{(89,1),(90,1),(145,1),(149,1),(150,1),(187,1),(193,1),(195,1),(197,1),(218,1),(239,1)}
       121:{2,3,7}:{(90,1),(91,1),(98,1),(135,1)}
       122:{1,5,6}:{(92,1),(93,1),(96,1),(221,1)}
       123:{1,2,4,6}:{(93,1),(94,1),(145,1),(151,1),(152,1),(193,1),(195,1),(198,1)}
       124:{1,3,5,7}:{(94,1),(95,1),(98,1),(146,1),(152,1),(153,1),(196,1),(199,1)}
       125:{1,3,4}:{(95,1),(147,1)}
       126:{1,2,5,7}:{(96,1),(97,1),(149,1),(151,1),(154,1),(244,1)}
       127:{1,3,6,7}:{(97,1),(98,1),(150,1),(152,1),(154,1),(225,1),(238,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(113,1),(155,1),(170,1),(200,1),(213,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(116,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(117,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(120,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(121,1)}
       136:{2,3,4,7}:{(106,1),(110,1),(160,1),(164,1),(208,1),(216,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(111,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(112,1),(165,1),(204,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,4,5}:{(109,1),(111,1),(166,1),(236,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(164,1),(166,1),(168,1),(169,1),(200,1),(211,1),(212,1),(236,1),(242,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(165,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(118,1),(170,1)}
       144:{1,3,5,6}:{(114,1),(115,1),(119,1),(122,1),(156,1),(170,1),(171,1),(200,1),(213,1)}
       145:{2,6}:{(115,1),(116,1)}
       146:{2,3,5,7}:{(116,1),(117,1),(121,1),(124,1),(158,1),(172,1),(173,1),(215,1)}
       147:{2,4}:{(117,1),(125,1),(159,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(170,1),(174,1),(178,1),(206,1),(217,1),(233,1)}
       149:{2,5,7}:{(119,1),(120,1),(171,1),(215,1),(243,1)}
       150:{2,3,6,7}:{(120,1),(121,1),(127,1),(163,1),(172,1),(175,1),(208,1),(213,1),(231,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(126,1),(171,1),(176,1),(215,1),(230,1)}
       152:{1,3,6}:{(123,1),(124,1),(172,1),(213,1)}
       153:{1,3,4,7}:{(124,1),(125,1),(173,1),(177,1),(178,1),(216,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(175,1),(176,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(145,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(146,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(147,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(139,1),(179,1),(184,1),(196,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(140,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(149,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(150,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(141,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(142,1),(187,1),(188,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(189,1),(244,1)}
       167:{1,2,4,5}:{(140,1),(142,1),(189,1),(190,1),(227,1)}
       168:{2,4,6}:{(141,1),(187,1),(189,1),(192,1),(218,1),(227,1)}
       169:{1,3,6}:{(142,1),(188,1),(190,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(148,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(149,1),(193,1),(218,1)}
       172:{2,3,6}:{(145,1),(146,1),(152,1),(182,1),(195,1)}
       173:{2,4,7}:{(146,1),(147,1),(153,1),(183,1),(195,1)}
       174:{2,4,5,7}:{(148,1),(149,1),(193,1),(196,1),(197,1),(229,1)}
       175:{2,3,5,7}:{(149,1),(150,1),(154,1),(186,1),(194,1),(196,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(195,1),(198,1),(199,1),(228,1)}
       178:{1,4,7}:{(154,1),(197,1),(198,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(213,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(171,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(172,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(173,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(166,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(167,1),(174,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(175,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(168,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(169,1),(208,1)}
       189:{2,5}:{(166,1),(168,1)}
       190:{1,3,5}:{(167,1),(169,1),(210,1),(211,1)}
       191:{1,2,4,6}:{(168,1),(207,1),(209,1),(212,1),(230,1),(236,1),(242,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(210,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(213,1)}
       194:{2,3,5,6}:{(171,1),(172,1),(175,1),(176,1),(202,1),(213,1),(214,1),(215,1),(231,1),(237,1),(243,1)}
       195:{2,4,6}:{(172,1),(173,1),(177,1),(203,1),(215,1)}
       196:{3,5,7}:{(174,1),(213,1),(216,1),(237,1)}
       197:{2,4,7}:{(175,1),(178,1),(206,1),(214,1),(216,1)}
       198:{1,4,6}:{(176,1),(178,1),(214,1),(217,1)}
       199:{1,3,5}:{(177,1),(215,1),(217,1),(237,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(193,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(194,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(195,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(189,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(190,1),(196,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(197,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(191,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(192,1),(225,1)}
       209:{1,2,5}:{(189,1),(191,1),(226,1),(244,1)}
       210:{2,3,5}:{(189,1),(190,1),(192,1),(226,1),(227,1)}
       211:{1,3,4}:{(190,1),(227,1)}
       212:{1,3,6}:{(191,1),(192,1),(225,1),(226,1)}
       213:{3,6}:{(193,1),(196,1)}
       214:{2,4,6}:{(194,1),(197,1),(198,1),(220,1),(228,1),(229,1)}
       215:{2,5}:{(195,1),(199,1),(221,1)}
       216:{3,4,7}:{(196,1),(197,1),(228,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(213,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(214,1),(233,1)}
       221:{1,5}:{(203,1),(215,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(209,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(210,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(211,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(212,1)}
       226:{1,3,5}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4}:{(210,1),(211,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(216,1),(237,1)}
       229:{2,4,5}:{(214,1),(215,1),(217,1),(233,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(228,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(229,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(226,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(227,1),(239,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(237,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(236,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2248 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2249 :   0:{1,2,3,6,7}:{(2,1),(3,1),(54,1),(97,1),(125,1),(178,1),(405,1),(418,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(54,1),(58,1),(93,1),(178,1),(292,1),(297,1),(303,1),(416,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(89,1),(352,1),(364,1),(464,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(141,1),(169,1),(236,1),(253,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(81,1),(134,1),(463,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(51,1),(100,1),(112,1),(196,1),(342,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(54,1),(98,1),(195,1),(296,1),(302,1),(418,1),(500,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(122,1),(500,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(222,1),(297,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(54,1),(185,1),(303,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(49,1),(297,1),(415,1)}
        11:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(65,1),(252,1),(395,1),(523,1),(527,1)}
        12:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(66,1),(83,1),(163,1),(173,1),(242,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(29,1),(64,1),(69,1),(85,1),(143,1),(150,1),(169,1),(242,1),(263,1),(387,1),(478,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(359,1),(361,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(29,1),(30,1),(364,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(30,1),(31,1),(76,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(31,1),(164,1),(253,1)}
        18:{2,3,4,6}:{(9,1),(29,1),(34,1),(35,1),(81,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(31,1),(36,1),(37,1),(74,1),(81,1),(161,1),(164,1),(244,1),(259,1),(360,1),(382,1),(463,1)}
        21:{1,3,4,6,7}:{(12,1),(13,1),(38,1),(40,1),(52,1),(91,1),(100,1),(124,1),(219,1),(225,1),(342,1),(442,1)}
        22:{1,2,3,5,6}:{(11,1),(39,1),(42,1),(95,1),(100,1),(112,1),(192,1),(220,1),(305,1),(340,1),(494,1),(501,1)}
        23:{1,2,4,7}:{(11,1),(39,1),(40,1),(311,1),(442,1)}
        24:{1,2,5,7}:{(12,1),(38,1),(42,1),(220,1),(299,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(43,1),(44,1),(203,1),(222,1),(299,1),(325,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(415,1),(500,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(54,1),(195,1),(298,1)}
        28:{1,3,4,5}:{(19,1),(49,1),(50,1),(415,1),(433,1)}
        29:{2,3,4,7}:{(15,1),(18,1),(52,1),(53,1),(122,1),(330,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(19,1),(53,1),(54,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(46,1),(54,1),(117,1)}
        32:{1,2,5,6,7}:{(17,1),(47,1),(55,1),(222,1),(314,1),(333,1),(417,1),(429,1)}
        33:{1,2,3,6}:{(48,1),(51,1),(56,1),(226,1)}
        34:{1,3,4,6}:{(18,1),(52,1),(56,1),(57,1),(119,1),(121,1),(124,1),(226,1)}
        35:{2,3,5}:{(18,1),(19,1),(49,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(50,1),(54,1),(58,1),(59,1),(303,1),(434,1)}
        37:{1,2,4,5,7}:{(20,1),(55,1),(59,1),(114,1),(122,1),(218,1),(222,1),(304,1),(322,1),(417,1),(435,1),(500,1)}
        38:{1,3,5,7}:{(21,1),(24,1),(25,1),(60,1),(61,1),(280,1),(282,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(62,1),(63,1),(248,1),(365,1),(394,1)}
        40:{1,3,4,7}:{(23,1),(62,1),(64,1),(65,1),(527,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(60,1),(63,1),(65,1),(66,1),(131,1)}
        42:{1,2,5,6}:{(24,1),(61,1),(66,1),(173,1),(237,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(60,1),(68,1),(69,1),(384,1),(478,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(61,1),(69,1),(85,1),(143,1),(146,1),(164,1),(237,1)}
        45:{1,3,4,5,7}:{(26,1),(28,1),(30,1),(68,1),(76,1),(77,1),(82,1),(165,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(32,1),(70,1),(78,1),(86,1),(165,1),(254,1),(361,1),(464,1)}
        48:{1,2,3,5}:{(33,1),(79,1),(87,1),(170,1)}
        49:{2,4,5}:{(28,1),(35,1),(80,1),(81,1)}
        50:{1,3,4,6}:{(28,1),(36,1),(81,1),(82,1),(463,1),(476,1)}
        51:{1,2,3,7}:{(33,1),(83,1),(285,1)}
        52:{1,3,4,7}:{(29,1),(34,1),(83,1),(84,1),(172,1),(285,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(35,1),(76,1),(84,1),(85,1)}
        54:{1,3,6}:{(30,1),(31,1),(85,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(37,1),(78,1),(86,1),(169,1),(276,1),(379,1),(471,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(79,1),(83,1),(87,1),(173,1)}
        57:{1,3,5}:{(34,1),(35,1),(80,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(81,1),(85,1),(88,1),(89,1),(164,1),(259,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(82,1),(86,1),(89,1),(364,1),(477,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(91,1),(339,1),(442,1)}
        61:{1,3,5,6}:{(38,1),(42,1),(44,1),(91,1),(100,1),(124,1),(221,1)}
        62:{1,3,4,6}:{(39,1),(40,1),(94,1),(95,1),(100,1),(419,1),(501,1)}
        63:{1,2,4,5}:{(39,1),(95,1),(188,1),(220,1),(339,1)}
        64:{2,3,4,7}:{(40,1),(94,1),(98,1),(99,1),(311,1),(503,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(95,1),(99,1),(100,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(91,1),(100,1),(183,1)}
        67:{1,2,5,6,7}:{(42,1),(92,1),(101,1),(228,1),(299,1),(341,1),(402,1),(429,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(203,1),(433,1),(509,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(91,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(92,1),(105,1),(125,1),(196,1),(203,1),(222,1),(299,1),(429,1),(437,1),(505,1)}
        71:{2,3,4,5}:{(49,1),(106,1),(107,1),(208,1),(320,1),(433,1)}
        72:{1,2,3,5,6}:{(48,1),(108,1),(109,1),(112,1),(126,1),(216,1),(220,1),(226,1),(321,1),(332,1),(335,1),(340,1)}
        73:{1,3,4,5,6}:{(50,1),(110,1),(111,1),(113,1),(199,1),(201,1),(323,1),(337,1),(434,1),(440,1)}
        74:{1,4,5,6}:{(46,1),(102,1),(113,1),(114,1),(298,1)}
        75:{1,2,3,5,7}:{(48,1),(51,1),(112,1),(115,1),(123,1),(220,1),(223,1),(305,1),(396,1),(483,1)}
        76:{2,4,5,7}:{(45,1),(49,1),(53,1),(116,1),(117,1),(122,1),(222,1)}
        77:{1,3,4,6}:{(45,1),(46,1),(54,1),(104,1),(113,1),(117,1)}
        78:{1,4,6,7}:{(46,1),(47,1),(105,1),(114,1),(500,1)}
        79:{1,2,4}:{(48,1),(119,1)}
        80:{1,4,5}:{(49,1),(57,1),(121,1)}
        81:{2,4,6}:{(49,1),(50,1),(58,1),(121,1),(122,1)}
        82:{1,3,4,7}:{(50,1),(59,1),(122,1),(500,1),(509,1)}
        83:{1,2,4,7}:{(51,1),(52,1),(56,1),(123,1)}
        84:{1,3,5,7}:{(52,1),(53,1),(57,1),(116,1),(123,1),(124,1)}
        85:{2,3,6}:{(53,1),(54,1),(117,1),(124,1)}
        86:{1,3,6,7}:{(54,1),(55,1),(59,1),(125,1),(505,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(121,1),(124,1),(126,1),(127,1),(221,1),(226,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(122,1),(125,1),(127,1),(222,1),(322,1),(330,1)}
        90:{1,3,4,5,7}:{(60,1),(65,1),(68,1),(131,1),(132,1),(135,1),(238,1),(249,1)}
        91:{1,4,6}:{(60,1),(61,1),(69,1)}
        92:{1,3,5,6,7}:{(61,1),(67,1),(70,1),(133,1),(144,1),(174,1),(238,1),(282,1),(395,1)}
        93:{1,2,3,5}:{(128,1),(134,1),(233,1),(243,1)}
        94:{2,3,4,6}:{(62,1),(64,1),(137,1),(138,1),(143,1),(248,1),(366,1),(467,1)}
        95:{1,3,5}:{(62,1),(63,1),(138,1)}
        96:{1,2,4,5,6}:{(63,1),(66,1),(129,1),(139,1),(140,1),(237,1),(248,1),(281,1),(357,1),(382,1),(394,1),(458,1),(466,1)}
        97:{1,2,3,7}:{(136,1),(141,1),(469,1)}
        98:{1,3,4,7}:{(64,1),(137,1),(141,1),(142,1),(372,1),(469,1)}
        99:{2,3,5,7}:{(64,1),(65,1),(131,1),(138,1),(142,1),(143,1)}
       100:{1,3,6}:{(65,1),(66,1),(143,1)}
       101:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(140,1),(144,1),(242,1),(448,1),(471,1),(515,1)}
       102:{2,4,5,6}:{(69,1),(74,1),(129,1),(146,1),(147,1),(164,1),(237,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(76,1),(131,1),(148,1),(149,1),(154,1),(245,1),(265,1),(266,1),(369,1),(377,1),(384,1),(470,1),(478,1),(513,1)}
       104:{3,4,6}:{(68,1),(69,1),(146,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(78,1),(133,1),(147,1),(150,1),(478,1)}
       106:{1,3,4,5}:{(71,1),(80,1),(152,1),(153,1),(170,1),(243,1),(350,1)}
       107:{2,3,4,6}:{(71,1),(81,1),(145,1),(153,1),(154,1),(269,1),(380,1),(476,1)}
       108:{1,2,3,5,7}:{(72,1),(155,1),(157,1),(175,1),(272,1),(274,1),(285,1),(381,1),(395,1)}
       109:{1,2,4,6}:{(72,1),(79,1),(157,1),(159,1),(160,1),(380,1),(394,1)}
       110:{2,4,5,6}:{(73,1),(81,1),(145,1),(161,1),(162,1),(164,1),(259,1),(380,1),(474,1)}
       111:{1,3,4,5,7}:{(73,1),(82,1),(158,1),(162,1),(165,1),(260,1),(262,1),(383,1),(393,1),(477,1),(481,1)}
       112:{1,2,3,6}:{(75,1),(163,1),(173,1),(283,1),(512,1)}
       113:{1,3,5,6}:{(74,1),(77,1),(146,1),(164,1),(165,1)}
       114:{1,4,5,7}:{(74,1),(78,1),(147,1),(165,1),(361,1)}
       115:{1,2,4,7}:{(75,1),(79,1),(163,1),(166,1),(365,1)}
       116:{1,4,5,7}:{(76,1),(80,1),(84,1),(168,1),(172,1),(282,1)}
       117:{2,4,6}:{(76,1),(77,1),(85,1),(164,1),(168,1)}
       118:{1,3,4,6,7}:{(77,1),(78,1),(82,1),(86,1),(150,1),(165,1),(169,1)}
       119:{1,3,4}:{(79,1),(151,1),(170,1)}
       120:{1,2,4,5}:{(79,1),(80,1),(87,1),(152,1),(170,1),(171,1)}
       121:{1,4,6}:{(80,1),(81,1),(88,1),(172,1)}
       122:{2,4,7}:{(81,1),(82,1),(89,1),(172,1)}
       123:{1,2,5,7}:{(83,1),(84,1),(87,1),(173,1)}
       124:{1,3,6}:{(84,1),(85,1),(168,1),(173,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(89,1),(169,1),(174,1),(379,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(171,1),(173,1),(175,1),(259,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(172,1),(174,1),(175,1),(282,1),(285,1)}
       128:{1,2,3,6}:{(93,1),(176,1),(177,1),(303,1)}
       129:{1,4,5,6}:{(91,1),(102,1),(179,1),(180,1),(221,1)}
       130:{1,2,3,5,7}:{(93,1),(97,1),(176,1),(178,1),(181,1),(187,1),(194,1),(290,1),(297,1),(300,1)}
       131:{2,4,5,7}:{(90,1),(99,1),(182,1),(183,1),(188,1),(299,1),(311,1)}
       132:{1,3,4,6}:{(90,1),(91,1),(100,1),(104,1),(179,1),(183,1)}
       133:{1,4,6,7}:{(91,1),(92,1),(105,1),(180,1),(442,1)}
       134:{1,2,4}:{(93,1),(185,1)}
       135:{1,3,4,5}:{(95,1),(188,1),(189,1),(339,1),(433,1)}
       136:{1,2,3,6}:{(97,1),(187,1),(190,1),(424,1)}
       137:{1,3,4,6}:{(94,1),(98,1),(190,1),(191,1),(195,1),(308,1),(310,1),(424,1)}
       138:{2,3,5}:{(94,1),(95,1),(188,1),(191,1)}
       139:{1,3,5,6}:{(95,1),(96,1),(100,1),(189,1),(192,1),(193,1),(434,1),(501,1)}
       140:{1,2,4,5,7}:{(96,1),(101,1),(180,1),(193,1),(299,1),(311,1),(341,1),(414,1),(435,1),(442,1),(497,1),(502,1)}
       141:{1,2,4,7}:{(97,1),(98,1),(190,1),(194,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(182,1),(191,1),(194,1),(195,1)}
       143:{2,3,6}:{(99,1),(100,1),(183,1),(195,1)}
       144:{1,3,6,7}:{(100,1),(101,1),(193,1),(196,1),(505,1)}
       145:{2,3,5,6}:{(107,1),(110,1),(199,1),(200,1),(434,1)}
       146:{3,5,6}:{(102,1),(104,1),(203,1)}
       147:{2,4,5,7}:{(102,1),(105,1),(114,1),(180,1),(203,1),(222,1),(299,1)}
       148:{1,3,4,5,7}:{(103,1),(106,1),(116,1),(182,1),(205,1),(206,1),(210,1),(223,1),(300,1),(306,1),(327,1),(339,1),(403,1),(415,1),(423,1),(433,1),(442,1),(500,1),(509,1),(531,1)}
       149:{2,3,4,6}:{(103,1),(104,1),(117,1),(183,1),(202,1),(206,1),(328,1),(430,1),(436,1),(504,1),(534,1)}
       150:{3,4,6,7}:{(104,1),(105,1),(203,1),(505,1),(509,1)}
       151:{2,3,4}:{(119,1),(185,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(121,1),(199,1),(209,1),(210,1),(226,1),(303,1),(406,1)}
       154:{2,3,4,7}:{(107,1),(122,1),(200,1),(210,1),(330,1),(432,1),(509,1)}
       155:{1,2,3,6,7}:{(108,1),(112,1),(211,1),(228,1),(335,1),(342,1),(396,1),(431,1)}
       156:{1,4,5,6,7}:{(114,1),(197,1),(212,1),(402,1),(426,1),(510,1)}
       157:{1,2,4,7}:{(108,1),(109,1),(213,1),(432,1),(442,1)}
       158:{1,3,4,6,7}:{(111,1),(212,1),(215,1),(315,1),(319,1),(426,1),(505,1)}
       159:{1,3,4,6}:{(109,1),(119,1),(198,1),(213,1),(216,1),(226,1),(335,1)}
       160:{1,2,4,5}:{(109,1),(216,1),(220,1),(320,1),(339,1)}
       161:{1,4,5,6}:{(110,1),(121,1),(199,1),(218,1),(221,1),(406,1),(491,1)}
       162:{2,4,5,7}:{(110,1),(111,1),(122,1),(200,1),(215,1),(218,1),(222,1),(322,1),(432,1),(508,1)}
       163:{1,2,4,6}:{(112,1),(115,1),(219,1),(220,1)}
       164:{2,5,6}:{(113,1),(117,1),(221,1),(222,1)}
       165:{1,3,5,7}:{(113,1),(114,1),(118,1),(203,1),(222,1)}
       166:{1,3,4,7}:{(115,1),(119,1),(204,1),(219,1),(223,1),(419,1),(442,1)}
       167:{1,2,4,5,7}:{(115,1),(116,1),(120,1),(123,1),(205,1),(220,1),(223,1),(224,1),(227,1),(339,1),(341,1),(420,1),(442,1),(483,1),(502,1),(531,1)}
       168:{1,4,6}:{(116,1),(117,1),(124,1),(221,1)}
       169:{2,4,6,7}:{(117,1),(118,1),(122,1),(125,1),(222,1),(225,1)}
       170:{1,3,5}:{(119,1),(120,1),(208,1),(226,1)}
       171:{1,2,4,6}:{(120,1),(121,1),(126,1),(209,1),(226,1),(227,1)}
       172:{1,4,7}:{(121,1),(122,1),(127,1)}
       173:{1,2,6}:{(123,1),(124,1)}
       174:{1,3,6,7}:{(124,1),(125,1),(127,1),(225,1),(228,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(227,1),(228,1),(322,1)}
       176:{1,2,3,7}:{(128,1),(231,1),(364,1)}
       177:{1,2,4,6}:{(128,1),(134,1),(231,1),(232,1),(233,1),(349,1)}
       178:{1,2,3,6}:{(130,1),(236,1),(253,1),(349,1),(362,1)}
       179:{1,3,5,6}:{(129,1),(132,1),(146,1),(237,1),(238,1)}
       180:{1,4,5,7}:{(129,1),(133,1),(147,1),(238,1),(282,1)}
       181:{1,2,4,7}:{(130,1),(134,1),(236,1),(239,1),(246,1)}
       182:{1,4,5,7}:{(131,1),(142,1),(241,1),(247,1),(361,1),(372,1)}
       183:{2,4,6}:{(131,1),(132,1),(143,1),(237,1),(241,1)}
       184:{1,3,4,6,7}:{(132,1),(133,1),(144,1),(150,1),(238,1),(242,1),(249,1)}
       185:{1,3,4}:{(134,1),(151,1),(243,1)}
       186:{1,2,4,5}:{(134,1),(152,1),(233,1),(243,1),(244,1),(350,1)}
       187:{1,2,3,5}:{(136,1),(246,1),(250,1),(370,1)}
       188:{2,4,5}:{(135,1),(138,1),(247,1),(248,1)}
       189:{1,3,4,6}:{(135,1),(139,1),(248,1),(249,1),(394,1),(476,1)}
       190:{1,2,4,6}:{(136,1),(137,1),(141,1),(246,1),(250,1),(253,1)}
       191:{1,3,5}:{(137,1),(138,1),(247,1),(250,1)}
       192:{2,3,5,6}:{(138,1),(139,1),(143,1),(237,1),(248,1),(251,1),(252,1),(458,1),(467,1)}
       193:{1,3,5,7}:{(139,1),(140,1),(144,1),(249,1),(252,1),(477,1),(527,1)}
       194:{1,2,5,7}:{(141,1),(142,1),(250,1),(253,1)}
       195:{1,3,6}:{(142,1),(143,1),(241,1),(253,1)}
       196:{2,3,6,7}:{(143,1),(144,1),(242,1),(252,1),(254,1),(515,1)}
       197:{2,4,5,6,7}:{(147,1),(156,1),(230,1),(255,1),(273,1),(347,1),(374,1),(471,1),(530,1)}
       198:{2,3,4,6}:{(151,1),(159,1),(232,1),(256,1),(258,1),(269,1),(378,1),(380,1)}
       199:{1,3,5,6}:{(145,1),(153,1),(161,1),(259,1),(260,1)}
       200:{2,3,5,7}:{(145,1),(154,1),(162,1),(257,1),(260,1),(477,1)}
       201:{3,4,5,6}:{(146,1),(261,1),(262,1),(476,1),(528,1)}
       202:{2,3,5,6}:{(146,1),(149,1),(164,1),(237,1),(261,1),(264,1),(265,1),(474,1),(528,1),(545,1)}
       203:{3,5,7}:{(146,1),(147,1),(150,1)}
       204:{2,3,4,7}:{(151,1),(166,1),(239,1),(263,1),(266,1),(366,1),(478,1)}
       205:{2,4,5,7}:{(148,1),(152,1),(266,1),(267,1),(270,1),(367,1),(384,1),(386,1),(468,1),(478,1)}
       206:{1,3,4,6}:{(148,1),(149,1),(168,1),(241,1),(264,1),(267,1),(283,1),(362,1),(394,1),(452,1),(463,1),(476,1),(543,1)}
       207:{2,3,4,6,7}:{(149,1),(150,1),(154,1),(169,1),(242,1),(257,1),(265,1),(268,1),(369,1),(374,1),(387,1),(445,1),(475,1),(478,1),(529,1),(546,1)}
       208:{2,3,5}:{(151,1),(152,1),(170,1),(243,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(259,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(172,1),(260,1),(270,1),(285,1),(364,1),(454,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(163,1),(271,1),(272,1),(275,1),(443,1),(475,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(158,1),(165,1),(255,1),(273,1),(481,1)}
       213:{1,3,4,7}:{(157,1),(159,1),(256,1),(274,1),(285,1)}
       214:{1,2,4,5,7}:{(157,1),(160,1),(272,1),(274,1),(275,1),(377,1),(388,1)}
       215:{2,4,6,7}:{(158,1),(162,1),(257,1),(273,1),(276,1),(379,1)}
       216:{1,3,5}:{(159,1),(160,1),(258,1)}
       217:{1,2,4,5,6}:{(160,1),(161,1),(171,1),(259,1),(275,1),(278,1),(279,1),(281,1),(380,1),(382,1),(394,1),(474,1),(479,1)}
       218:{1,4,5,7}:{(161,1),(162,1),(172,1),(260,1),(276,1),(282,1),(454,1),(520,1)}
       219:{1,3,4,6}:{(163,1),(166,1),(263,1),(280,1),(283,1),(394,1)}
       220:{1,2,5}:{(163,1),(280,1)}
       221:{1,5,6}:{(164,1),(168,1),(282,1)}
       222:{2,5,7}:{(164,1),(165,1),(169,1),(282,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(170,1),(266,1),(280,1),(283,1),(285,1),(465,1),(527,1)}
       224:{1,2,4,6}:{(167,1),(168,1),(173,1),(267,1),(281,1),(283,1),(394,1),(512,1),(543,1)}
       225:{1,4,6,7}:{(168,1),(169,1),(172,1),(174,1),(282,1)}
       226:{1,3,6}:{(170,1),(171,1),(269,1),(285,1)}
       227:{1,2,4,7}:{(171,1),(172,1),(175,1),(270,1),(285,1)}
       228:{1,2,6,7}:{(173,1),(174,1),(175,1),(379,1)}
       229:{1,2,3,6,7}:{(176,1),(178,1),(286,1),(287,1),(314,1),(418,1),(487,1),(535,1)}
       230:{1,4,5,6,7}:{(180,1),(197,1),(288,1),(333,1),(426,1),(538,1)}
       231:{1,2,4,7}:{(176,1),(177,1),(289,1),(290,1)}
       232:{1,3,4,6}:{(177,1),(185,1),(198,1),(289,1),(291,1),(303,1),(404,1),(406,1)}
       233:{1,2,5}:{(177,1),(291,1)}
       234:{1,2,3,5,6}:{(178,1),(187,1),(286,1),(293,1),(297,1),(312,1),(401,1),(412,1),(416,1),(424,1),(487,1),(496,1)}
       235:{1,3,4,5,6}:{(179,1),(189,1),(201,1),(294,1),(295,1),(323,1),(410,1),(434,1),(498,1),(536,1)}
       236:{1,2,4,6}:{(178,1),(181,1),(296,1),(297,1)}
       237:{2,5,6}:{(179,1),(183,1),(298,1),(299,1)}
       238:{1,3,5,7}:{(179,1),(180,1),(184,1),(203,1),(299,1)}
       239:{1,3,4,7}:{(181,1),(185,1),(204,1),(296,1),(300,1),(308,1),(500,1)}
       240:{1,2,4,5,7}:{(181,1),(182,1),(186,1),(194,1),(205,1),(290,1),(297,1),(300,1),(301,1),(304,1),(309,1),(403,1),(415,1),(417,1),(425,1),(500,1)}
       241:{1,4,6}:{(182,1),(183,1),(195,1),(298,1)}
       242:{2,4,6,7}:{(183,1),(184,1),(196,1),(299,1),(302,1),(311,1)}
       243:{1,3,5}:{(185,1),(186,1),(208,1),(303,1)}
       244:{1,2,4,6}:{(186,1),(209,1),(292,1),(303,1),(304,1),(406,1)}
       245:{2,3,4,5}:{(188,1),(306,1),(307,1),(421,1),(433,1),(495,1)}
       246:{1,2,4}:{(187,1),(308,1)}
       247:{1,4,5}:{(188,1),(191,1),(310,1)}
       248:{2,4,6}:{(188,1),(189,1),(192,1),(310,1),(311,1)}
       249:{1,3,4,7}:{(189,1),(193,1),(311,1),(442,1),(509,1)}
       250:{1,2,5}:{(190,1),(191,1)}
       251:{1,3,5,6}:{(191,1),(192,1),(195,1),(298,1),(310,1),(312,1),(313,1),(424,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(196,1),(299,1),(311,1),(313,1),(497,1),(503,1)}
       253:{1,2,6}:{(194,1),(195,1)}
       254:{1,3,6,7}:{(195,1),(196,1),(302,1),(313,1),(314,1)}
       255:{3,5,6,7}:{(197,1),(203,1),(315,1),(505,1),(542,1)}
       256:{2,3,4,7}:{(198,1),(213,1),(289,1),(318,1),(330,1),(432,1)}
       257:{2,3,6,7}:{(200,1),(215,1),(319,1),(505,1)}
       258:{2,3,5}:{(198,1),(216,1),(291,1),(320,1)}
       259:{2,5,6}:{(199,1),(209,1),(322,1)}
       260:{1,3,5,7}:{(199,1),(200,1),(210,1),(218,1),(319,1),(322,1)}
       261:{2,4,5,6}:{(201,1),(202,1),(323,1),(324,1),(436,1)}
       262:{3,4,5,7}:{(201,1),(203,1),(315,1),(324,1),(509,1),(542,1)}
       263:{2,3,4,6}:{(204,1),(219,1),(296,1),(325,1),(328,1),(436,1)}
       264:{1,3,5,6}:{(202,1),(206,1),(221,1),(298,1),(323,1),(326,1),(327,1),(434,1),(491,1),(549,1)}
       265:{2,3,5,7}:{(202,1),(203,1),(207,1),(222,1),(299,1),(324,1),(327,1),(508,1),(542,1),(551,1)}
       266:{2,3,5,7}:{(204,1),(205,1),(208,1),(223,1),(300,1),(325,1),(328,1),(330,1),(421,1),(503,1)}
       267:{2,4,6}:{(205,1),(206,1),(326,1),(328,1)}
       268:{1,3,4,6,7}:{(206,1),(207,1),(210,1),(225,1),(302,1),(319,1),(327,1),(329,1),(342,1),(418,1),(423,1),(426,1),(442,1),(485,1),(492,1),(500,1),(505,1),(509,1),(550,1)}
       269:{2,3,6}:{(208,1),(209,1),(226,1),(303,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(322,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(219,1),(316,1),(331,1),(335,1),(342,1),(438,1),(442,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(220,1),(331,1),(332,1),(508,1)}
       273:{2,5,6,7}:{(212,1),(215,1),(222,1),(333,1),(508,1)}
       274:{1,3,5,7}:{(213,1),(214,1),(216,1),(318,1),(335,1)}
       275:{1,2,4,6}:{(214,1),(332,1),(335,1),(430,1),(438,1)}
       276:{1,4,6,7}:{(215,1),(218,1),(319,1),(333,1)}
       277:{1,3,4,5}:{(216,1),(320,1),(337,1),(339,1),(433,1)}
       278:{1,3,5,6}:{(216,1),(217,1),(226,1),(321,1),(335,1),(337,1),(338,1),(434,1)}
       279:{1,2,4,5,7}:{(217,1),(218,1),(227,1),(322,1),(336,1),(338,1),(341,1),(432,1),(435,1),(442,1),(508,1),(510,1)}
       280:{1,3,5}:{(219,1),(220,1),(325,1),(339,1)}
       281:{1,2,5,6}:{(220,1),(221,1),(224,1),(326,1),(340,1),(341,1),(549,1)}
       282:{1,5,7}:{(221,1),(222,1),(225,1)}
       283:{1,3,6}:{(223,1),(224,1),(328,1)}
       284:{1,2,4,6,7}:{(224,1),(225,1),(227,1),(228,1),(329,1),(341,1),(342,1),(442,1),(502,1),(533,1),(550,1)}
       285:{1,3,7}:{(226,1),(227,1),(330,1)}
       286:{1,2,3,5,7}:{(229,1),(234,1),(343,1),(346,1),(373,1),(446,1),(464,1),(469,1),(525,1)}
       287:{1,2,4,6,7}:{(229,1),(231,1),(236,1),(343,1),(345,1),(346,1),(349,1),(447,1),(546,1)}
       288:{1,3,5,6,7}:{(230,1),(238,1),(255,1),(344,1),(347,1),(547,1)}
       289:{1,3,4,7}:{(231,1),(232,1),(256,1),(348,1),(364,1),(454,1)}
       290:{1,2,5,7}:{(231,1),(233,1),(348,1),(349,1)}
       291:{1,3,5}:{(232,1),(233,1),(258,1),(350,1)}
       292:{1,2,5,6}:{(233,1),(244,1),(259,1),(349,1),(351,1),(352,1)}
       293:{1,2,4,6}:{(234,1),(246,1),(343,1),(355,1),(356,1),(463,1),(524,1)}
       294:{2,4,5,6}:{(235,1),(237,1),(248,1),(354,1),(357,1),(358,1),(458,1),(524,1),(545,1)}
       295:{1,3,4,5,7}:{(235,1),(238,1),(249,1),(262,1),(344,1),(358,1),(383,1),(459,1),(477,1),(526,1),(547,1)}
       296:{1,3,4,6}:{(236,1),(239,1),(263,1),(359,1),(362,1),(463,1)}
       297:{1,2,5}:{(236,1),(359,1)}
       298:{1,5,6}:{(237,1),(241,1),(361,1)}
       299:{2,5,7}:{(237,1),(238,1),(242,1),(361,1)}
       300:{1,3,5,7}:{(239,1),(240,1),(243,1),(266,1),(359,1),(362,1),(364,1),(370,1),(469,1)}
       301:{1,2,4,6}:{(240,1),(241,1),(253,1),(267,1),(349,1),(360,1),(362,1),(452,1),(463,1)}
       302:{1,4,6,7}:{(241,1),(242,1),(254,1),(361,1),(372,1)}
       303:{1,3,6}:{(243,1),(244,1),(269,1),(364,1)}
       304:{1,2,4,7}:{(244,1),(270,1),(352,1),(364,1),(454,1)}
       305:{1,2,3,5}:{(353,1),(365,1),(456,1),(465,1)}
       306:{1,3,4,5}:{(245,1),(247,1),(367,1),(368,1),(370,1),(465,1),(521,1)}
       307:{2,3,4,6}:{(245,1),(248,1),(354,1),(368,1),(369,1),(467,1),(476,1),(524,1)}
       308:{1,3,4}:{(246,1),(366,1),(370,1)}
       309:{1,2,4,5}:{(246,1),(247,1),(250,1),(367,1),(370,1),(371,1)}
       310:{1,4,6}:{(247,1),(248,1),(251,1),(372,1)}
       311:{2,4,7}:{(248,1),(249,1),(252,1),(372,1)}
       312:{1,2,5,6}:{(250,1),(251,1),(253,1),(371,1),(373,1),(458,1)}
       313:{1,3,5,7}:{(251,1),(252,1),(254,1),(361,1),(372,1),(373,1),(469,1)}
       314:{1,2,6,7}:{(253,1),(254,1),(373,1),(515,1)}
       315:{3,4,6,7}:{(255,1),(262,1),(374,1)}
       316:{2,3,4,6,7}:{(256,1),(263,1),(271,1),(345,1),(375,1),(378,1),(387,1),(444,1),(472,1),(475,1),(478,1),(514,1),(529,1),(546,1)}
       317:{2,3,5,6,7}:{(255,1),(257,1),(265,1),(273,1),(347,1),(374,1),(376,1),(445,1)}
       318:{2,3,5,7}:{(256,1),(258,1),(274,1),(348,1),(377,1),(378,1)}
       319:{1,3,6,7}:{(257,1),(260,1),(276,1),(379,1)}
       320:{2,4,5}:{(258,1),(277,1),(350,1),(380,1)}
       321:{2,3,5,6}:{(258,1),(259,1),(269,1),(278,1),(351,1),(378,1),(380,1),(381,1),(474,1)}
       322:{2,5,7}:{(259,1),(260,1),(270,1),(379,1)}
       323:{1,4,5,6}:{(261,1),(264,1),(382,1),(383,1),(394,1),(463,1)}
       324:{2,4,5,7}:{(261,1),(262,1),(265,1),(374,1),(383,1),(478,1)}
       325:{2,3,5}:{(263,1),(280,1),(359,1),(384,1)}
       326:{2,5,6}:{(264,1),(267,1),(386,1)}
       327:{1,3,5,7}:{(264,1),(265,1),(268,1),(282,1),(361,1),(383,1),(386,1),(477,1),(520,1),(552,1)}
       328:{2,3,6}:{(266,1),(267,1),(283,1),(362,1)}
       329:{2,4,6,7}:{(267,1),(268,1),(270,1),(379,1),(386,1),(387,1),(468,1),(478,1),(515,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(364,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(280,1),(375,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(275,1),(389,1),(474,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(282,1),(520,1)}
       334:{1,3,4,5,7}:{(274,1),(277,1),(377,1),(388,1),(391,1),(393,1),(470,1),(481,1)}
       335:{1,3,6}:{(274,1),(275,1),(378,1)}
       336:{1,2,4,6,7}:{(275,1),(276,1),(279,1),(379,1),(390,1),(392,1),(471,1),(475,1),(480,1)}
       337:{1,3,4,6}:{(277,1),(278,1),(380,1),(393,1),(394,1),(476,1)}
       338:{1,3,5,7}:{(278,1),(279,1),(285,1),(381,1),(392,1),(393,1),(477,1)}
       339:{1,4,5}:{(280,1),(384,1),(394,1)}
       340:{1,3,5,6}:{(280,1),(281,1),(283,1),(385,1),(394,1),(395,1)}
       341:{1,2,5,7}:{(281,1),(282,1),(284,1),(386,1),(395,1),(552,1)}
       342:{1,3,6,7}:{(283,1),(284,1),(285,1),(387,1),(395,1),(527,1)}
       343:{1,2,4,7}:{(286,1),(293,1),(397,1),(500,1),(541,1)}
       344:{1,3,4,6,7}:{(288,1),(295,1),(315,1),(399,1),(426,1),(485,1),(505,1)}
       345:{1,3,4,6,7}:{(287,1),(289,1),(296,1),(316,1),(397,1),(400,1),(404,1),(418,1),(487,1),(489,1),(492,1),(500,1)}
       346:{1,2,5,7}:{(287,1),(297,1),(400,1),(401,1),(551,1)}
       347:{2,5,6,7}:{(288,1),(299,1),(399,1),(402,1),(551,1)}
       348:{1,3,5,7}:{(289,1),(290,1),(291,1),(318,1),(403,1),(404,1)}
       349:{1,2,6}:{(290,1),(404,1)}
       350:{1,4,5}:{(291,1),(320,1),(406,1)}
       351:{1,3,5,6}:{(291,1),(292,1),(303,1),(321,1),(404,1),(406,1),(407,1),(491,1)}
       352:{1,2,5,7}:{(292,1),(304,1),(322,1),(405,1),(407,1)}
       353:{1,2,3,6}:{(305,1),(396,1),(408,1),(501,1)}
       354:{2,3,5,6}:{(294,1),(307,1),(410,1),(411,1),(434,1)}
       355:{1,3,4,6}:{(293,1),(308,1),(397,1),(409,1),(412,1),(424,1),(487,1)}
       356:{1,2,4,5}:{(293,1),(297,1),(412,1),(415,1),(495,1)}
       357:{1,4,5,6}:{(294,1),(298,1),(310,1),(410,1),(414,1),(539,1),(549,1)}
       358:{2,4,5,7}:{(294,1),(295,1),(299,1),(311,1),(399,1),(411,1),(414,1),(497,1),(541,1),(551,1)}
       359:{1,3,5}:{(296,1),(297,1),(325,1),(415,1)}
       360:{1,2,5,6}:{(297,1),(298,1),(301,1),(326,1),(416,1),(417,1),(491,1)}
       361:{1,5,7}:{(298,1),(299,1),(302,1)}
       362:{1,3,6}:{(300,1),(301,1),(328,1)}
       363:{1,2,4,6,7}:{(301,1),(302,1),(304,1),(314,1),(329,1),(405,1),(417,1),(418,1),(425,1),(492,1),(500,1)}
       364:{1,3,7}:{(303,1),(304,1),(330,1)}
       365:{1,2,4}:{(305,1),(419,1)}
       366:{2,3,4}:{(308,1),(419,1),(421,1)}
       367:{2,4,5}:{(306,1),(421,1),(422,1)}
       368:{1,3,4,6}:{(306,1),(307,1),(310,1),(410,1),(422,1),(423,1),(424,1),(501,1),(539,1)}
       369:{2,3,4,7}:{(307,1),(311,1),(411,1),(423,1),(503,1),(509,1),(541,1)}
       370:{1,3,5}:{(308,1),(309,1),(421,1),(424,1)}
       371:{1,2,4,6}:{(309,1),(310,1),(312,1),(422,1),(424,1),(425,1)}
       372:{1,4,7}:{(310,1),(311,1),(313,1)}
       373:{1,2,5,7}:{(312,1),(313,1),(314,1),(425,1),(497,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(324,1),(426,1)}
       375:{2,3,5,7}:{(316,1),(325,1),(331,1),(400,1),(427,1),(428,1),(508,1),(542,1),(551,1)}
       376:{1,3,5,6,7}:{(317,1),(319,1),(327,1),(333,1),(402,1),(426,1),(429,1),(485,1),(505,1)}
       377:{2,4,5,7}:{(318,1),(320,1),(334,1),(403,1),(430,1),(432,1),(508,1)}
       378:{2,3,6}:{(318,1),(335,1),(404,1),(430,1)}
       379:{2,6,7}:{(319,1),(322,1)}
       380:{2,4,6}:{(320,1),(321,1),(337,1),(406,1),(432,1)}
       381:{2,3,5,7}:{(321,1),(322,1),(330,1),(338,1),(407,1),(431,1),(432,1),(508,1)}
       382:{2,4,5,6}:{(323,1),(326,1),(434,1),(435,1),(436,1)}
       383:{1,4,5,7}:{(323,1),(324,1),(327,1),(426,1),(435,1),(442,1),(500,1)}
       384:{2,4,5}:{(325,1),(339,1),(415,1),(433,1),(436,1)}
       385:{2,3,5,6}:{(325,1),(326,1),(328,1),(340,1),(416,1),(434,1),(436,1),(437,1)}
       386:{2,5,7}:{(326,1),(327,1),(329,1)}
       387:{2,3,6,7}:{(328,1),(329,1),(330,1),(342,1),(418,1),(437,1),(503,1),(505,1)}
       388:{1,4,5,7}:{(331,1),(339,1),(427,1),(438,1),(442,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(335,1),(428,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(341,1),(429,1),(439,1),(508,1),(533,1)}
       391:{1,3,4,6}:{(334,1),(335,1),(430,1),(438,1),(440,1),(504,1)}
       392:{1,3,6,7}:{(335,1),(336,1),(338,1),(431,1),(505,1)}
       393:{1,3,4,7}:{(337,1),(338,1),(432,1),(442,1),(509,1)}
       394:{1,4,6}:{(339,1),(340,1),(436,1),(442,1)}
       395:{1,3,5,7}:{(340,1),(341,1),(342,1),(437,1),(442,1)}
       396:{1,2,3,7}:{(353,1),(443,1),(527,1)}
       397:{1,3,4,7}:{(343,1),(355,1),(444,1),(446,1),(469,1)}
       398:{1,2,4,5,7}:{(343,1),(346,1),(356,1),(446,1),(447,1),(449,1),(513,1)}
       399:{2,4,6,7}:{(344,1),(347,1),(358,1),(445,1),(448,1),(515,1)}
       400:{1,3,5,7}:{(345,1),(346,1),(359,1),(375,1),(449,1),(450,1),(520,1)}
       401:{1,2,5,6}:{(346,1),(349,1),(447,1),(450,1),(545,1)}
       402:{1,5,6,7}:{(347,1),(361,1),(448,1),(552,1)}
       403:{1,4,5,7}:{(348,1),(350,1),(377,1),(452,1),(454,1),(520,1)}
       404:{1,3,6}:{(348,1),(349,1),(378,1),(452,1)}
       405:{1,2,6,7}:{(349,1),(352,1),(379,1),(453,1)}
       406:{1,4,6}:{(350,1),(351,1),(380,1),(454,1)}
       407:{1,3,5,7}:{(351,1),(352,1),(364,1),(381,1),(453,1),(454,1),(520,1)}
       408:{1,2,4,6}:{(353,1),(365,1),(443,1),(455,1),(456,1),(512,1)}
       409:{2,3,4,6}:{(355,1),(366,1),(444,1),(455,1),(457,1),(467,1),(514,1),(524,1)}
       410:{1,3,5,6}:{(354,1),(357,1),(368,1),(458,1),(459,1)}
       411:{2,3,5,7}:{(354,1),(358,1),(369,1),(445,1),(459,1),(477,1)}
       412:{1,3,5}:{(355,1),(356,1),(457,1)}
       413:{1,2,4,5,6}:{(356,1),(357,1),(360,1),(371,1),(382,1),(447,1),(458,1),(461,1),(462,1),(463,1),(518,1),(524,1),(545,1)}
       414:{1,4,5,7}:{(357,1),(358,1),(361,1),(372,1),(448,1),(459,1),(548,1),(552,1)}
       415:{1,4,5}:{(359,1),(384,1),(463,1)}
       416:{1,3,5,6}:{(359,1),(360,1),(362,1),(385,1),(463,1),(464,1)}
       417:{1,2,5,7}:{(360,1),(361,1),(363,1),(386,1),(464,1),(520,1)}
       418:{1,3,6,7}:{(362,1),(363,1),(364,1),(387,1),(464,1),(469,1)}
       419:{1,3,4}:{(365,1),(366,1),(465,1)}
       420:{1,2,4,5}:{(365,1),(367,1),(456,1),(465,1),(466,1),(521,1)}
       421:{2,3,5}:{(366,1),(367,1),(370,1),(465,1),(467,1)}
       422:{2,4,6}:{(367,1),(368,1),(458,1),(467,1),(468,1)}
       423:{1,3,4,7}:{(368,1),(369,1),(372,1),(459,1),(468,1),(469,1),(527,1),(548,1)}
       424:{1,3,6}:{(370,1),(371,1),(467,1),(469,1)}
       425:{1,2,4,7}:{(371,1),(372,1),(373,1),(468,1),(469,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(383,1),(471,1)}
       427:{2,4,5,7}:{(375,1),(384,1),(388,1),(449,1),(470,1),(472,1),(478,1)}
       428:{2,3,5,6}:{(375,1),(378,1),(389,1),(450,1),(472,1),(474,1),(514,1),(528,1),(545,1)}
       429:{2,5,6,7}:{(376,1),(379,1),(386,1),(471,1),(515,1)}
       430:{2,4,6}:{(377,1),(378,1),(391,1),(452,1),(474,1)}
       431:{2,3,6,7}:{(378,1),(379,1),(381,1),(392,1),(453,1),(475,1)}
       432:{2,4,7}:{(380,1),(381,1),(393,1),(454,1)}
       433:{3,4,5}:{(384,1),(476,1)}
       434:{3,5,6}:{(382,1),(476,1),(477,1)}
       435:{2,4,5,7}:{(382,1),(383,1),(386,1),(471,1),(477,1),(478,1)}
       436:{2,4,6}:{(384,1),(385,1),(394,1),(463,1),(476,1),(478,1)}
       437:{2,3,5,7}:{(385,1),(386,1),(387,1),(395,1),(464,1),(477,1),(478,1)}
       438:{1,4,6}:{(388,1),(389,1),(472,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(395,1),(473,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,3,5,6}:{(391,1),(474,1),(479,1),(481,1),(528,1)}
       441:{1,3,4,6,7}:{(391,1),(392,1),(393,1),(475,1),(480,1),(481,1),(529,1)}
       442:{1,4,7}:{(394,1),(395,1),(478,1)}
       443:{1,2,4,7}:{(396,1),(408,1),(482,1),(483,1)}
       444:{2,3,4,7}:{(397,1),(409,1),(482,1),(484,1),(503,1),(541,1)}
       445:{2,3,6,7}:{(399,1),(411,1),(485,1),(505,1)}
       446:{1,3,5,7}:{(397,1),(398,1),(412,1),(484,1),(487,1)}
       447:{1,2,4,6}:{(398,1),(401,1),(487,1),(489,1),(534,1)}
       448:{1,4,6,7}:{(399,1),(402,1),(414,1),(485,1)}
       449:{1,4,5,7}:{(400,1),(415,1),(427,1),(489,1),(500,1)}
       450:{1,3,5,6}:{(400,1),(401,1),(404,1),(428,1),(487,1),(489,1),(491,1)}
       451:{1,2,5,6,7}:{(401,1),(402,1),(405,1),(417,1),(429,1),(488,1),(490,1),(551,1)}
       452:{1,4,6}:{(403,1),(404,1),(430,1),(491,1)}
       453:{1,3,6,7}:{(404,1),(405,1),(407,1),(431,1),(492,1)}
       454:{1,4,7}:{(406,1),(407,1),(432,1)}
       455:{1,3,4,6}:{(408,1),(409,1),(419,1),(482,1),(493,1),(501,1),(532,1),(539,1)}
       456:{1,2,5}:{(408,1),(493,1)}
       457:{2,3,5}:{(409,1),(412,1),(493,1),(495,1)}
       458:{2,5,6}:{(410,1),(422,1),(497,1)}
       459:{1,3,5,7}:{(410,1),(411,1),(414,1),(423,1),(485,1),(497,1)}
       460:{1,3,4,5}:{(412,1),(415,1),(433,1),(495,1),(498,1)}
       461:{1,3,5,6}:{(412,1),(413,1),(424,1),(434,1),(487,1),(496,1),(498,1),(499,1)}
       462:{1,2,4,5,7}:{(413,1),(414,1),(417,1),(425,1),(435,1),(488,1),(497,1),(499,1),(500,1),(538,1),(541,1),(551,1)}
       463:{1,4,6}:{(415,1),(416,1),(436,1),(500,1)}
       464:{1,3,5,7}:{(416,1),(417,1),(418,1),(437,1),(500,1)}
       465:{1,3,5}:{(419,1),(420,1),(421,1),(501,1)}
       466:{1,2,4,6}:{(420,1),(422,1),(494,1),(501,1),(502,1),(539,1)}
       467:{2,3,6}:{(421,1),(422,1),(424,1),(501,1),(503,1)}
       468:{2,4,7}:{(422,1),(423,1),(497,1),(503,1)}
       469:{1,3,7}:{(424,1),(425,1),(503,1)}
       470:{3,4,5,7}:{(427,1),(433,1),(504,1),(509,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(435,1),(505,1)}
       472:{2,4,6}:{(427,1),(428,1),(438,1),(489,1),(504,1)}
       473:{2,3,5,6,7}:{(428,1),(429,1),(431,1),(437,1),(439,1),(490,1),(505,1),(507,1),(508,1),(535,1),(542,1),(551,1)}
       474:{2,5,6}:{(430,1),(440,1),(491,1),(508,1)}
       475:{2,4,6,7}:{(430,1),(431,1),(432,1),(441,1),(492,1),(508,1)}
       476:{3,4,6}:{(433,1),(434,1),(436,1),(509,1)}
       477:{3,5,7}:{(434,1),(435,1),(505,1),(509,1)}
       478:{2,4,7}:{(436,1),(437,1),(442,1),(500,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(440,1),(506,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(442,1),(507,1),(510,1)}
       481:{1,3,5,7}:{(440,1),(441,1),(508,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(455,1),(511,1),(527,1),(548,1)}
       483:{1,2,5,7}:{(443,1),(456,1),(511,1),(512,1)}
       484:{2,3,5,7}:{(444,1),(446,1),(457,1),(511,1),(513,1),(514,1)}
       485:{1,3,6,7}:{(445,1),(448,1),(459,1),(515,1)}
       486:{1,3,4,5,7}:{(446,1),(449,1),(460,1),(470,1),(513,1),(516,1),(526,1),(547,1)}
       487:{1,3,6}:{(446,1),(447,1),(514,1)}
       488:{1,2,4,6,7}:{(447,1),(448,1),(451,1),(462,1),(471,1),(515,1),(517,1),(519,1),(546,1)}
       489:{1,4,6}:{(449,1),(450,1),(472,1)}
       490:{1,3,5,6,7}:{(450,1),(451,1),(453,1),(464,1),(473,1),(517,1),(519,1),(520,1),(547,1)}
       491:{1,5,6}:{(452,1),(474,1),(520,1)}
       492:{1,4,6,7}:{(452,1),(453,1),(454,1),(475,1),(520,1)}
       493:{1,3,5}:{(455,1),(456,1),(457,1),(521,1)}
       494:{1,2,5,6}:{(456,1),(458,1),(466,1),(512,1),(522,1),(523,1)}
       495:{2,4,5}:{(457,1),(460,1),(521,1),(524,1)}
       496:{2,3,5,6}:{(457,1),(458,1),(461,1),(467,1),(514,1),(522,1),(524,1),(525,1),(545,1)}
       497:{2,5,7}:{(458,1),(459,1),(468,1),(515,1)}
       498:{1,3,4,6}:{(460,1),(461,1),(463,1),(476,1),(524,1),(526,1)}
       499:{1,3,5,7}:{(461,1),(462,1),(469,1),(477,1),(517,1),(525,1),(526,1)}
       500:{1,4,7}:{(463,1),(464,1),(478,1)}
       501:{1,3,6}:{(465,1),(466,1),(467,1),(527,1)}
       502:{1,2,4,7}:{(466,1),(468,1),(523,1),(527,1),(548,1)}
       503:{2,3,7}:{(467,1),(468,1),(469,1),(527,1)}
       504:{3,4,6}:{(470,1),(472,1),(528,1)}
       505:{3,6,7}:{(471,1),(477,1)}
       506:{2,4,5,6}:{(472,1),(474,1),(479,1),(518,1),(528,1),(530,1),(545,1)}
       507:{2,4,6,7}:{(472,1),(473,1),(478,1),(480,1),(519,1),(529,1),(530,1)}
       508:{2,5,7}:{(474,1),(475,1),(481,1),(520,1)}
       509:{3,4,7}:{(476,1),(477,1),(478,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(493,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{2,4,5,7}:{(484,1),(486,1),(495,1),(531,1),(534,1),(541,1),(551,1)}
       514:{2,3,6}:{(484,1),(487,1),(532,1),(534,1)}
       515:{2,6,7}:{(485,1),(497,1)}
       516:{1,3,4,6}:{(486,1),(487,1),(489,1),(504,1),(534,1),(536,1)}
       517:{1,3,6,7}:{(487,1),(488,1),(499,1),(505,1),(535,1)}
       518:{1,4,5,6}:{(489,1),(491,1),(506,1),(536,1),(538,1)}
       519:{1,4,6,7}:{(489,1),(490,1),(500,1),(507,1),(538,1)}
       520:{1,5,7}:{(491,1),(492,1),(508,1)}
       521:{1,4,5}:{(493,1),(495,1),(539,1)}
       522:{1,3,5,6}:{(493,1),(494,1),(496,1),(501,1),(532,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(494,1),(497,1),(502,1),(533,1),(540,1)}
       524:{2,4,6}:{(495,1),(496,1),(498,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(496,1),(497,1),(499,1),(503,1),(535,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(498,1),(499,1),(500,1),(509,1),(541,1)}
       527:{1,3,7}:{(501,1),(502,1),(503,1)}
       528:{3,5,6}:{(504,1),(506,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(507,1),(509,1),(542,1)}
       530:{2,4,5,7}:{(506,1),(507,1),(508,1),(510,1),(538,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(521,1),(543,1),(548,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(514,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(523,1),(544,1)}
       534:{2,4,6}:{(513,1),(514,1),(516,1),(543,1),(545,1)}
       535:{2,3,6,7}:{(514,1),(515,1),(517,1),(525,1),(544,1),(546,1)}
       536:{1,3,5,6}:{(516,1),(518,1),(528,1),(545,1),(547,1)}
       537:{1,3,4,6,7}:{(516,1),(517,1),(519,1),(526,1),(529,1),(546,1),(547,1)}
       538:{1,4,5,7}:{(518,1),(519,1),(520,1),(530,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(527,1),(544,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(534,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(540,1),(550,1)}
       545:{2,5,6}:{(534,1),(536,1),(549,1),(551,1)}
       546:{2,4,6,7}:{(534,1),(535,1),(537,1),(541,1),(550,1),(551,1)}
       547:{1,3,5,7}:{(536,1),(537,1),(538,1),(542,1),(551,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(543,1),(545,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(546,1),(548,1),(552,1)}
       551:{2,5,7}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2250 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2251 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2252 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(54,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(25,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(32,1),(82,1),(154,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(54,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(16,1),(115,1),(194,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(125,1),(135,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(54,1),(62,1),(115,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(19,1),(23,1),(25,1),(113,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(234,1),(286,1)}
        16:{3,4,6,7}:{(7,1),(30,1),(32,1)}
        17:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(32,1),(33,1),(39,1),(74,1),(77,1)}
        18:{2,3,4,5,7}:{(8,1),(34,1),(35,1),(36,1),(70,1),(77,1),(136,1),(157,1),(170,1),(227,1),(278,1),(283,1),(287,1),(309,1)}
        19:{2,3,4,6}:{(8,1),(12,1),(36,1),(37,1),(99,1),(150,1),(161,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(37,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(88,1),(99,1),(148,1),(168,1),(172,1),(229,1),(240,1),(242,1),(243,1),(287,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(105,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(16,1),(46,1),(48,1),(54,1),(107,1),(115,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(16,1),(50,1),(194,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(262,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(50,1),(54,1)}
        33:{1,3,5,6,7}:{(17,1),(22,1),(49,1),(54,1),(55,1),(62,1),(107,1),(110,1),(115,1)}
        34:{2,3,4,6}:{(18,1),(51,1),(56,1),(196,1),(209,1),(261,1),(262,1),(297,1),(313,1)}
        35:{1,3,4,5,7}:{(18,1),(20,1),(56,1),(57,1),(58,1),(102,1),(110,1),(119,1),(173,1),(188,1),(191,1),(208,1),(259,1),(263,1),(296,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(58,1),(132,1),(188,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(25,1),(58,1),(59,1),(123,1),(134,1)}
        38:{2,4,5}:{(20,1),(59,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(115,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(55,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(121,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(268,1),(300,1)}
        44:{2,5,6}:{(25,1),(59,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(113,1),(123,1),(204,1),(269,1),(302,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(71,1),(78,1),(139,1),(147,1),(217,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(141,1),(219,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(71,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(32,1),(77,1),(78,1),(283,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(77,1),(79,1),(234,1),(242,1),(282,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(229,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(81,1),(136,1),(153,1),(166,1),(222,1),(231,1),(283,1)}
        54:{1,4,6,7}:{(32,1),(33,1),(78,1),(82,1)}
        55:{2,5,6,7}:{(33,1),(82,1),(92,1),(143,1),(146,1)}
        56:{1,3,4,6}:{(34,1),(35,1),(79,1),(84,1),(150,1),(155,1),(229,1),(243,1),(308,1)}
        57:{2,4,5,7}:{(35,1),(38,1),(84,1),(86,1),(87,1),(138,1),(146,1),(210,1),(226,1),(230,1)}
        58:{1,3,4,7}:{(36,1),(37,1),(42,1),(87,1),(159,1),(169,1)}
        59:{2,4,6}:{(37,1),(38,1),(44,1),(87,1),(89,1)}
        60:{1,2,4,5}:{(38,1),(88,1),(90,1),(164,1),(172,1),(240,1)}
        61:{2,3,5}:{(38,1),(89,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(82,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(83,1),(93,1),(94,1),(167,1),(221,1),(225,1),(281,1),(289,1)}
        65:{2,5,7}:{(42,1),(44,1),(87,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(159,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(88,1),(95,1),(98,1),(240,1),(290,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(89,1),(96,1),(98,1),(99,1),(161,1),(163,1),(239,1),(240,1),(242,1),(290,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(150,1),(229,1),(286,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(248,1),(254,1)}
        71:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(104,1),(177,1),(251,1),(256,1)}
        72:{2,3,5,6}:{(47,1),(101,1),(103,1),(105,1),(113,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(253,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(115,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(104,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(55,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(194,1),(206,1),(256,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(54,1),(110,1),(111,1),(259,1)}
        79:{1,3,5,6}:{(51,1),(52,1),(56,1),(110,1),(112,1),(113,1),(270,1),(298,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(190,1)}
        81:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(58,1),(62,1),(107,1),(110,1),(114,1),(115,1),(173,1),(188,1),(192,1),(205,1),(255,1),(259,1)}
        82:{2,4,6,7}:{(54,1),(55,1),(111,1),(115,1)}
        83:{2,3,5,6,7}:{(55,1),(64,1),(109,1),(115,1),(116,1),(128,1),(183,1),(187,1),(194,1),(206,1),(256,1),(258,1),(266,1),(303,1),(313,1)}
        84:{2,4,6}:{(56,1),(57,1),(112,1),(118,1)}
        85:{1,2,4,5,7}:{(57,1),(60,1),(117,1),(119,1),(121,1),(175,1),(186,1),(199,1),(208,1),(244,1),(259,1),(263,1),(267,1),(268,1),(296,1),(300,1),(311,1)}
        86:{2,3,5,7}:{(57,1),(61,1),(118,1),(119,1),(120,1),(122,1),(176,1),(198,1),(245,1)}
        87:{2,4,7}:{(58,1),(59,1),(65,1),(122,1)}
        88:{1,2,4,6}:{(59,1),(60,1),(67,1),(121,1),(123,1),(134,1),(203,1)}
        89:{2,3,6}:{(59,1),(61,1),(122,1),(123,1)}
        90:{1,3,5}:{(60,1),(61,1),(123,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(115,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(116,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(121,1),(127,1),(131,1),(268,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(122,1),(128,1),(131,1),(132,1),(200,1),(206,1),(268,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(123,1),(131,1),(134,1),(204,1),(269,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(191,1),(204,1),(263,1),(302,1)}
       101:{2,3,4,6}:{(70,1),(72,1),(136,1),(137,1),(150,1),(219,1),(273,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(213,1),(280,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(147,1)}
       104:{1,4,5,7}:{(71,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(137,1),(139,1),(141,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(148,1),(211,1),(219,1),(224,1),(229,1),(280,1),(282,1),(287,1),(307,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(82,1),(140,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(83,1),(144,1),(145,1),(165,1),(223,1),(225,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(81,1),(146,1),(147,1),(241,1),(281,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(82,1),(146,1),(147,1),(226,1)}
       112:{2,5,6}:{(79,1),(84,1),(146,1)}
       113:{3,5,6}:{(80,1),(147,1),(150,1)}
       114:{2,4,6,7}:{(81,1),(84,1),(87,1),(92,1),(143,1),(146,1),(152,1),(210,1),(226,1)}
       115:{3,6,7}:{(82,1),(147,1)}
       116:{2,4,6,7}:{(83,1),(94,1),(145,1),(153,1),(154,1),(226,1),(283,1),(285,1),(310,1)}
       117:{1,2,4,6}:{(84,1),(85,1),(148,1),(155,1),(229,1),(235,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       118:{2,3,6}:{(84,1),(86,1),(155,1)}
       119:{1,3,5,7}:{(85,1),(86,1),(90,1),(155,1),(157,1),(158,1),(159,1),(213,1),(236,1),(271,1),(309,1)}
       120:{2,3,4,7}:{(86,1),(91,1),(156,1),(158,1),(214,1),(226,1)}
       121:{1,2,4,7}:{(87,1),(88,1),(95,1),(159,1),(169,1),(237,1)}
       122:{2,3,7}:{(87,1),(89,1),(159,1)}
       123:{1,3,6}:{(88,1),(89,1),(90,1),(159,1),(161,1)}
       124:{2,3,4,6}:{(89,1),(91,1),(99,1),(160,1),(162,1),(163,1),(239,1),(286,1)}
       125:{2,3,5}:{(90,1),(161,1),(164,1),(240,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(239,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(153,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(154,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(159,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(238,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(163,1),(172,1),(240,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(173,1),(188,1),(251,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(105,1),(173,1),(174,1),(246,1),(253,1)}
       138:{2,4,5}:{(102,1),(174,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(173,1),(177,1)}
       140:{1,2,4,5,7}:{(104,1),(106,1),(108,1),(111,1),(177,1),(178,1),(185,1),(186,1),(244,1),(251,1),(256,1),(259,1),(296,1),(300,1),(311,1)}
       141:{2,5,6}:{(105,1),(174,1),(177,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(178,1),(180,1),(181,1),(246,1),(295,1),(302,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(177,1)}
       144:{1,3,6,7}:{(108,1),(115,1),(178,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(116,1),(185,1),(259,1),(301,1)}
       146:{2,5,7}:{(110,1),(112,1),(114,1)}
       147:{3,5,7}:{(111,1),(113,1),(115,1),(188,1)}
       148:{1,2,5,6}:{(112,1),(117,1),(186,1),(189,1),(267,1),(270,1),(298,1),(303,1)}
       149:{2,3,5,6}:{(112,1),(113,1),(118,1),(187,1),(189,1),(190,1),(198,1)}
       150:{3,4,6}:{(113,1),(188,1),(190,1),(191,1)}
       151:{1,2,4,6,7}:{(114,1),(117,1),(121,1),(127,1),(182,1),(186,1),(192,1),(205,1),(244,1),(255,1),(259,1),(264,1)}
       152:{2,3,6,7}:{(114,1),(115,1),(118,1),(122,1),(187,1),(192,1),(245,1)}
       153:{3,4,6,7}:{(115,1),(116,1),(188,1),(194,1),(261,1),(299,1),(313,1)}
       154:{2,4,5,7}:{(116,1),(130,1),(185,1),(194,1),(195,1),(206,1),(256,1)}
       155:{1,3,6}:{(117,1),(118,1),(119,1),(196,1),(313,1)}
       156:{2,3,4,6}:{(118,1),(120,1),(190,1),(197,1),(198,1)}
       157:{2,3,5,7}:{(119,1),(125,1),(196,1),(199,1),(200,1),(248,1),(267,1),(268,1),(291,1),(311,1)}
       158:{1,3,4,7}:{(119,1),(120,1),(126,1),(197,1),(199,1),(249,1),(259,1),(299,1)}
       159:{1,3,7}:{(121,1),(122,1),(123,1),(200,1)}
       160:{2,3,4,7}:{(122,1),(124,1),(132,1),(201,1),(202,1),(299,1)}
       161:{2,3,6}:{(123,1),(125,1),(200,1),(203,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(134,1),(201,1),(203,1),(204,1),(269,1)}
       163:{2,3,5}:{(124,1),(135,1),(204,1),(302,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(194,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(195,1),(207,1),(298,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(202,1),(206,1),(208,1),(209,1),(268,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(269,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(204,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(271,1),(277,1)}
       174:{2,4,6}:{(137,1),(138,1),(141,1),(210,1),(212,1)}
       175:{1,2,4,5}:{(138,1),(211,1),(213,1),(276,1),(280,1),(307,1)}
       176:{2,3,5}:{(138,1),(212,1),(213,1),(214,1)}
       177:{2,5,7}:{(139,1),(141,1),(143,1),(210,1)}
       178:{1,3,5,7}:{(140,1),(142,1),(144,1),(147,1),(216,1),(217,1),(271,1),(309,1)}
       179:{1,2,5,6}:{(141,1),(211,1),(215,1),(218,1),(307,1),(314,1)}
       180:{2,3,5,6}:{(141,1),(142,1),(212,1),(216,1),(218,1),(219,1),(273,1),(275,1),(282,1),(306,1),(307,1),(314,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(217,1),(219,1),(220,1),(229,1),(286,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(216,1),(221,1),(222,1),(306,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(153,1),(217,1),(222,1),(223,1),(279,1)}
       185:{1,4,5,7}:{(145,1),(154,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(151,1),(225,1),(241,1),(281,1),(288,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(150,1),(226,1)}
       189:{1,3,5,6}:{(148,1),(149,1),(155,1),(225,1),(228,1),(229,1),(236,1)}
       190:{2,4,6}:{(149,1),(150,1),(226,1),(229,1),(230,1)}
       191:{3,4,5}:{(150,1),(230,1)}
       192:{1,3,6,7}:{(151,1),(152,1),(155,1),(159,1),(225,1),(231,1),(271,1)}
       193:{2,3,4,6,7}:{(152,1),(153,1),(156,1),(160,1),(166,1),(222,1),(226,1),(232,1),(233,1),(239,1),(272,1),(285,1),(306,1)}
       194:{3,5,7}:{(153,1),(154,1),(234,1)}
       195:{2,4,5,6}:{(154,1),(168,1),(224,1),(234,1),(242,1),(282,1),(285,1),(310,1)}
       196:{2,3,6}:{(155,1),(157,1),(235,1),(290,1),(314,1)}
       197:{1,3,4,6}:{(155,1),(156,1),(158,1),(229,1),(235,1),(236,1),(286,1)}
       198:{2,3,5}:{(156,1),(230,1),(236,1)}
       199:{2,4,7}:{(157,1),(158,1),(164,1),(235,1),(276,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{1,3,4,7}:{(159,1),(160,1),(162,1),(169,1),(237,1),(238,1)}
       202:{2,3,5,7}:{(160,1),(163,1),(170,1),(238,1),(239,1),(309,1)}
       203:{2,4,6}:{(161,1),(162,1),(164,1),(237,1),(240,1),(290,1)}
       204:{1,3,5}:{(162,1),(163,1),(172,1),(240,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(234,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(238,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(239,1),(242,1),(243,1),(290,1)}
       210:{2,4,7}:{(173,1),(174,1),(177,1),(245,1)}
       211:{1,2,4,6}:{(174,1),(175,1),(179,1),(244,1),(246,1),(253,1),(294,1)}
       212:{2,3,6}:{(174,1),(176,1),(245,1),(246,1)}
       213:{1,3,5}:{(175,1),(176,1),(246,1),(248,1),(249,1)}
       214:{2,3,4}:{(176,1),(249,1)}
       215:{1,2,5,7}:{(177,1),(179,1),(182,1),(244,1),(250,1),(311,1)}
       216:{2,3,5,7}:{(177,1),(178,1),(180,1),(183,1),(245,1),(250,1),(251,1),(256,1),(291,1),(311,1)}
       217:{1,3,4,7}:{(178,1),(181,1),(188,1),(251,1),(259,1),(299,1)}
       218:{1,3,5,6}:{(179,1),(180,1),(246,1),(250,1),(253,1),(295,1),(298,1),(312,1)}
       219:{2,4,6}:{(180,1),(181,1),(251,1),(253,1),(254,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(254,1),(263,1),(295,1),(302,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(251,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(194,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(195,1),(257,1),(270,1),(301,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(190,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(194,1),(260,1),(261,1)}
       228:{2,3,5,6}:{(189,1),(196,1),(258,1),(262,1),(267,1),(302,1),(303,1),(313,1)}
       229:{1,4,6}:{(189,1),(190,1),(259,1),(262,1),(263,1)}
       230:{2,4,5}:{(190,1),(191,1),(198,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(196,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{1,3,4,6,7}:{(192,1),(193,1),(197,1),(201,1),(205,1),(255,1),(259,1),(264,1),(265,1),(269,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       233:{2,3,5,7}:{(193,1),(194,1),(198,1),(206,1),(256,1),(260,1),(265,1),(266,1)}
       234:{3,5,6}:{(194,1),(195,1),(261,1),(313,1)}
       235:{2,4,6}:{(196,1),(197,1),(199,1),(267,1)}
       236:{1,3,5}:{(197,1),(198,1),(263,1),(267,1),(302,1)}
       237:{2,4,7}:{(200,1),(201,1),(203,1),(268,1)}
       238:{1,3,5,7}:{(201,1),(202,1),(204,1),(208,1),(268,1),(269,1)}
       239:{2,3,6}:{(202,1),(209,1),(269,1),(313,1)}
       240:{2,5}:{(203,1),(204,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(215,1),(271,1),(277,1),(304,1)}
       245:{2,3,7}:{(210,1),(212,1),(271,1)}
       246:{1,3,6}:{(211,1),(212,1),(213,1),(271,1),(273,1)}
       247:{2,3,4,6}:{(212,1),(214,1),(219,1),(272,1),(274,1),(275,1),(286,1),(306,1)}
       248:{2,3,5}:{(213,1),(273,1),(276,1),(307,1)}
       249:{1,3,4}:{(213,1),(214,1),(276,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(218,1),(221,1),(271,1),(277,1),(281,1)}
       251:{2,4,7}:{(216,1),(217,1),(219,1),(277,1)}
       252:{1,3,4,5,7}:{(217,1),(220,1),(223,1),(227,1),(278,1),(279,1),(284,1),(305,1),(309,1)}
       253:{1,4,6}:{(218,1),(219,1),(277,1),(280,1)}
       254:{2,4,5}:{(219,1),(220,1),(275,1),(280,1),(307,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(234,1),(279,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(231,1),(283,1),(288,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(229,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(234,1),(285,1)}
       262:{2,4,6}:{(228,1),(229,1),(283,1),(286,1),(287,1)}
       263:{1,4,5}:{(229,1),(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(235,1),(237,1),(283,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{1,3,5,7}:{(232,1),(233,1),(236,1),(241,1),(281,1),(284,1),(288,1),(289,1),(309,1)}
       266:{2,3,5,6}:{(233,1),(234,1),(239,1),(242,1),(282,1),(285,1),(289,1),(306,1)}
       267:{2,5}:{(235,1),(236,1)}
       268:{2,5,7}:{(237,1),(238,1),(240,1),(290,1)}
       269:{1,3,6}:{(238,1),(239,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(246,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(251,1),(292,1),(293,1),(299,1)}
       273:{2,3,6}:{(246,1),(248,1),(291,1),(294,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(253,1),(292,1),(294,1),(295,1),(312,1)}
       275:{2,3,5}:{(247,1),(254,1),(295,1),(302,1)}
       276:{2,4}:{(248,1),(249,1)}
       277:{1,4,7}:{(250,1),(251,1),(253,1)}
       278:{2,4,5,7}:{(251,1),(252,1),(254,1),(256,1),(293,1),(296,1),(297,1),(311,1)}
       279:{1,3,4,6}:{(252,1),(257,1),(261,1),(297,1),(301,1),(312,1),(313,1)}
       280:{1,4,5}:{(253,1),(254,1),(295,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{2,4,7}:{(258,1),(259,1),(262,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(265,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(266,1),(301,1)}
       286:{3,4,6}:{(262,1),(299,1),(302,1),(313,1)}
       287:{2,4,5}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(267,1),(303,1)}
       289:{1,3,5,6}:{(265,1),(266,1),(269,1),(270,1),(298,1),(301,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(274,1),(277,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(275,1),(278,1),(305,1),(306,1),(309,1)}
       294:{2,4,6}:{(273,1),(274,1),(276,1),(304,1),(307,1),(314,1)}
       295:{1,3,5}:{(274,1),(275,1),(280,1),(307,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(280,1),(281,1),(305,1),(308,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(306,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(286,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(287,1),(288,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(289,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(295,1),(296,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(297,1),(312,1),(313,1)}
       307:{2,5}:{(294,1),(295,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(302,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(307,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2253 :   0:{1,2,3,6,7}:{(2,1),(3,1),(48,1),(106,1),(172,1),(272,1),(376,1),(380,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(48,1),(54,1),(174,1),(272,1),(274,1),(276,1),(375,1),(379,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(130,1),(143,1),(220,1),(327,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(81,1),(328,1),(330,1),(424,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(79,1),(225,1),(425,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(109,1),(169,1),(194,1),(297,1),(512,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(48,1),(94,1),(170,1),(268,1),(376,1),(377,1),(467,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(188,1),(379,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(112,1),(467,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(52,1),(379,1),(468,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(48,1),(276,1),(277,1)}
        11:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(62,1),(76,1),(147,1),(216,1),(247,1)}
        12:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(63,1),(209,1),(348,1),(485,1),(487,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(31,1),(64,1),(66,1),(74,1),(128,1),(133,1),(143,1),(216,1),(340,1),(341,1),(438,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(321,1),(427,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(29,1),(142,1),(220,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(29,1),(30,1),(72,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(30,1),(31,1),(330,1)}
        18:{1,2,4,5,6}:{(9,1),(29,1),(33,1),(34,1),(69,1),(79,1),(142,1),(151,1),(222,1),(236,1),(322,1),(336,1),(425,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(31,1),(35,1),(36,1),(74,1),(79,1),(238,1),(239,1)}
        21:{1,2,3,5,6}:{(12,1),(37,1),(39,1),(86,1),(92,1),(161,1),(194,1),(296,1),(300,1),(359,1),(449,1),(451,1)}
        22:{1,3,4,6,7}:{(11,1),(13,1),(38,1),(41,1),(50,1),(89,1),(92,1),(107,1),(190,1),(297,1),(298,1),(399,1)}
        23:{1,2,5,7}:{(11,1),(38,1),(39,1),(266,1),(300,1)}
        24:{1,2,4,7}:{(12,1),(37,1),(41,1),(259,1),(399,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(43,1),(177,1),(188,1),(266,1),(393,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(48,1),(170,1),(267,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(467,1),(468,1)}
        28:{1,2,5,6,7}:{(15,1),(44,1),(47,1),(188,1),(271,1),(294,1),(374,1),(389,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(45,1),(48,1),(104,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1)}
        31:{2,3,4,7}:{(17,1),(20,1),(49,1),(50,1),(112,1),(292,1)}
        32:{1,3,4,5}:{(19,1),(51,1),(52,1),(468,1),(476,1)}
        33:{1,2,4,5,7}:{(18,1),(47,1),(53,1),(101,1),(112,1),(188,1),(197,1),(275,1),(290,1),(374,1),(387,1),(467,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(48,1),(51,1),(53,1),(54,1),(276,1),(388,1)}
        35:{2,3,5}:{(19,1),(20,1),(52,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(107,1),(113,1),(200,1),(201,1)}
        37:{1,2,4,6}:{(21,1),(24,1),(57,1),(58,1),(207,1),(349,1),(409,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(59,1),(60,1),(241,1),(351,1)}
        39:{1,2,5,6}:{(23,1),(59,1),(62,1),(147,1),(215,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(57,1),(60,1),(62,1),(63,1),(126,1)}
        41:{1,3,4,7}:{(24,1),(58,1),(63,1),(64,1),(487,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(59,1),(66,1),(74,1),(128,1),(132,1),(142,1),(215,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(60,1),(66,1),(67,1),(438,1),(439,1)}
        44:{1,3,5,6,7}:{(26,1),(28,1),(65,1),(70,1),(73,1),(141,1),(219,1),(321,1),(424,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(30,1),(32,1),(67,1),(71,1),(72,1),(78,1),(141,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(70,1),(73,1),(143,1),(248,1),(342,1),(434,1)}
        48:{1,3,6}:{(29,1),(30,1),(74,1)}
        49:{2,3,5,7}:{(30,1),(31,1),(35,1),(72,1),(74,1),(75,1)}
        50:{1,3,4,7}:{(31,1),(36,1),(75,1),(76,1),(152,1),(251,1)}
        51:{1,3,4,6}:{(32,1),(34,1),(78,1),(79,1),(425,1),(436,1)}
        52:{2,4,5}:{(32,1),(35,1),(79,1),(80,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(73,1),(78,1),(81,1),(330,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(74,1),(79,1),(81,1),(82,1),(142,1),(236,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(80,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(76,1),(83,1),(84,1),(147,1),(157,1)}
        57:{1,2,4,5}:{(37,1),(86,1),(159,1),(300,1),(400,1)}
        58:{1,3,4,6}:{(37,1),(41,1),(86,1),(87,1),(92,1),(451,1),(452,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(89,1),(92,1),(107,1),(189,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(89,1),(399,1),(400,1)}
        61:{1,2,5,6,7}:{(39,1),(88,1),(91,1),(193,1),(266,1),(295,1),(373,1),(389,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(89,1),(92,1),(167,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(86,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(87,1),(93,1),(94,1),(259,1),(458,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(96,1),(106,1),(169,1),(177,1),(188,1),(266,1),(389,1),(390,1),(474,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(89,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(177,1),(475,1),(476,1)}
        68:{2,3,4,5}:{(52,1),(99,1),(100,1),(186,1),(396,1),(476,1)}
        69:{1,4,5,6}:{(45,1),(95,1),(101,1),(102,1),(267,1)}
        70:{1,4,6,7}:{(44,1),(45,1),(96,1),(101,1),(467,1)}
        71:{1,3,4,6}:{(45,1),(46,1),(48,1),(97,1),(102,1),(104,1)}
        72:{2,4,5,7}:{(46,1),(49,1),(52,1),(104,1),(105,1),(112,1),(188,1)}
        73:{1,3,6,7}:{(47,1),(48,1),(53,1),(106,1),(474,1)}
        74:{2,3,6}:{(48,1),(49,1),(104,1),(107,1)}
        75:{1,3,5,7}:{(49,1),(50,1),(55,1),(105,1),(107,1),(108,1)}
        76:{1,2,4,7}:{(50,1),(56,1),(108,1),(109,1)}
        77:{1,3,4,5,6}:{(51,1),(102,1),(110,1),(111,1),(175,1),(183,1),(282,1),(303,1),(388,1),(484,1)}
        78:{1,3,4,7}:{(51,1),(53,1),(112,1),(467,1),(475,1)}
        79:{2,4,6}:{(51,1),(52,1),(54,1),(112,1),(113,1)}
        80:{1,4,5}:{(52,1),(55,1),(113,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(106,1),(112,1),(115,1),(188,1),(290,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(107,1),(113,1),(115,1),(116,1),(189,1),(200,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(109,1),(117,1),(200,1)}
        85:{1,2,4,5,6}:{(57,1),(62,1),(119,1),(120,1),(123,1),(207,1),(215,1),(242,1),(313,1),(336,1),(349,1),(406,1),(412,1)}
        86:{1,3,5}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,6}:{(58,1),(64,1),(121,1),(122,1),(128,1),(207,1),(414,1),(415,1)}
        88:{1,3,5,6,7}:{(59,1),(61,1),(65,1),(124,1),(127,1),(146,1),(214,1),(241,1),(348,1)}
        89:{1,4,6}:{(59,1),(60,1),(66,1)}
        90:{1,3,4,5,7}:{(60,1),(63,1),(67,1),(118,1),(125,1),(126,1),(206,1),(214,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(124,1),(127,1),(216,1),(416,1),(434,1),(491,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(126,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(122,1),(129,1),(130,1),(314,1),(419,1)}
        95:{2,4,5,6}:{(66,1),(69,1),(123,1),(131,1),(132,1),(142,1),(215,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(70,1),(124,1),(131,1),(133,1),(438,1)}
        97:{3,4,6}:{(66,1),(67,1),(132,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(72,1),(126,1),(134,1),(135,1),(137,1),(204,1),(229,1),(233,1),(308,1),(438,1),(439,1),(442,1),(507,1),(537,1)}
        99:{2,3,4,6}:{(68,1),(79,1),(136,1),(137,1),(138,1),(238,1),(344,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(80,1),(138,1),(139,1),(154,1),(223,1),(431,1)}
       101:{1,4,5,7}:{(69,1),(70,1),(131,1),(141,1),(321,1)}
       102:{1,3,5,6}:{(69,1),(71,1),(132,1),(141,1),(142,1)}
       103:{1,3,4,6,7}:{(70,1),(71,1),(73,1),(78,1),(133,1),(141,1),(143,1)}
       104:{2,4,6}:{(71,1),(72,1),(74,1),(142,1),(144,1)}
       105:{1,4,5,7}:{(72,1),(75,1),(80,1),(144,1),(152,1),(241,1)}
       106:{2,3,6,7}:{(73,1),(74,1),(81,1),(143,1),(146,1),(342,1)}
       107:{1,3,6}:{(74,1),(75,1),(144,1),(147,1)}
       108:{1,2,5,7}:{(75,1),(76,1),(83,1),(147,1)}
       109:{1,2,3,7}:{(76,1),(84,1),(251,1)}
       110:{1,3,4,5,7}:{(77,1),(78,1),(141,1),(149,1),(150,1),(226,1),(235,1),(335,1),(354,1),(435,1),(447,1)}
       111:{2,4,5,6}:{(77,1),(79,1),(136,1),(142,1),(150,1),(151,1),(236,1),(344,1),(510,1)}
       112:{2,4,7}:{(78,1),(79,1),(81,1),(152,1)}
       113:{1,4,6}:{(79,1),(80,1),(82,1),(152,1)}
       114:{1,2,4,5}:{(80,1),(83,1),(139,1),(153,1),(154,1),(157,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(146,1),(152,1),(155,1),(241,1),(251,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(147,1),(153,1),(155,1),(236,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(154,1),(157,1)}
       118:{1,3,4,5}:{(86,1),(158,1),(159,1),(400,1),(476,1)}
       119:{1,2,4,5,7}:{(85,1),(91,1),(160,1),(164,1),(259,1),(266,1),(295,1),(366,1),(387,1),(399,1),(450,1),(456,1)}
       120:{1,3,5,6}:{(85,1),(86,1),(92,1),(158,1),(160,1),(161,1),(388,1),(451,1)}
       121:{2,3,5}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,3,4,6}:{(87,1),(94,1),(162,1),(163,1),(170,1),(260,1),(369,1),(370,1)}
       123:{1,4,5,6}:{(89,1),(95,1),(164,1),(165,1),(189,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(96,1),(164,1),(399,1)}
       125:{1,3,4,6}:{(89,1),(90,1),(92,1),(97,1),(165,1),(167,1)}
       126:{2,4,5,7}:{(90,1),(93,1),(159,1),(167,1),(168,1),(259,1),(266,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(160,1),(169,1),(474,1)}
       128:{2,3,6}:{(92,1),(93,1),(167,1),(170,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(170,1),(171,1)}
       130:{1,2,4,7}:{(94,1),(163,1),(171,1),(172,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(101,1),(164,1),(177,1),(188,1),(266,1)}
       132:{3,5,6}:{(95,1),(97,1),(177,1)}
       133:{3,4,6,7}:{(96,1),(97,1),(177,1),(474,1),(475,1)}
       134:{2,3,4,6}:{(97,1),(98,1),(104,1),(167,1),(178,1),(180,1),(287,1),(391,1),(481,1),(529,1),(547,1)}
       135:{1,3,4,5,7}:{(98,1),(100,1),(105,1),(168,1),(180,1),(181,1),(184,1),(192,1),(256,1),(270,1),(284,1),(362,1),(399,1),(400,1),(467,1),(468,1),(472,1),(475,1),(476,1),(544,1)}
       136:{2,3,5,6}:{(99,1),(111,1),(182,1),(183,1),(388,1)}
       137:{2,3,4,7}:{(99,1),(112,1),(182,1),(184,1),(292,1),(395,1),(475,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(113,1),(183,1),(184,1),(185,1),(200,1),(276,1),(382,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(101,1),(176,1),(187,1),(373,1),(386,1),(482,1)}
       141:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(188,1)}
       142:{2,5,6}:{(102,1),(104,1),(188,1),(189,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(106,1),(112,1),(188,1),(190,1)}
       144:{1,4,6}:{(104,1),(105,1),(107,1),(189,1)}
       145:{1,2,4,5,7}:{(105,1),(108,1),(114,1),(181,1),(191,1),(192,1),(195,1),(199,1),(295,1),(300,1),(358,1),(399,1),(400,1),(450,1),(517,1),(544,1)}
       146:{1,3,6,7}:{(106,1),(107,1),(115,1),(190,1),(193,1)}
       147:{1,2,6}:{(107,1),(108,1)}
       148:{1,2,3,5,7}:{(108,1),(109,1),(117,1),(192,1),(194,1),(195,1),(300,1),(359,1),(453,1),(517,1)}
       149:{1,3,4,6,7}:{(110,1),(187,1),(196,1),(280,1),(289,1),(386,1),(474,1)}
       150:{2,4,5,7}:{(110,1),(111,1),(112,1),(182,1),(188,1),(196,1),(197,1),(290,1),(395,1),(480,1)}
       151:{1,4,5,6}:{(111,1),(113,1),(183,1),(189,1),(197,1),(382,1),(527,1)}
       152:{1,4,7}:{(112,1),(113,1),(115,1)}
       153:{1,2,4,6}:{(113,1),(114,1),(116,1),(185,1),(199,1),(200,1)}
       154:{1,3,5}:{(114,1),(186,1),(200,1),(201,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(193,1),(199,1),(290,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(194,1),(200,1),(202,1),(203,1),(291,1),(296,1),(300,1),(305,1),(402,1),(405,1)}
       157:{1,2,4}:{(117,1),(201,1)}
       158:{1,3,4,6}:{(118,1),(120,1),(206,1),(207,1),(349,1),(436,1)}
       159:{2,4,5}:{(118,1),(121,1),(207,1),(208,1)}
       160:{1,3,5,7}:{(119,1),(120,1),(127,1),(206,1),(209,1),(435,1),(487,1)}
       161:{2,3,5,6}:{(120,1),(121,1),(128,1),(207,1),(209,1),(210,1),(215,1),(412,1),(414,1)}
       162:{1,3,5}:{(121,1),(122,1),(208,1),(211,1)}
       163:{1,2,4,6}:{(122,1),(130,1),(211,1),(212,1),(220,1),(319,1)}
       164:{1,4,5,7}:{(123,1),(124,1),(131,1),(214,1),(241,1)}
       165:{1,3,5,6}:{(123,1),(125,1),(132,1),(214,1),(215,1)}
       166:{1,3,4,6,7}:{(124,1),(125,1),(127,1),(133,1),(206,1),(214,1),(216,1)}
       167:{2,4,6}:{(125,1),(126,1),(128,1),(215,1),(217,1)}
       168:{1,4,5,7}:{(126,1),(129,1),(208,1),(217,1),(314,1),(321,1)}
       169:{2,3,6,7}:{(127,1),(128,1),(209,1),(216,1),(219,1),(491,1)}
       170:{1,3,6}:{(128,1),(129,1),(217,1),(220,1)}
       171:{1,2,5,7}:{(129,1),(130,1),(211,1),(220,1)}
       172:{1,2,3,7}:{(130,1),(212,1),(419,1)}
       173:{1,2,4,5}:{(139,1),(222,1),(223,1),(225,1),(333,1),(431,1)}
       174:{1,2,3,5}:{(223,1),(224,1),(225,1),(333,1)}
       175:{3,4,5,6}:{(132,1),(226,1),(227,1),(436,1),(542,1)}
       176:{2,4,5,6,7}:{(131,1),(140,1),(213,1),(228,1),(240,1),(320,1),(334,1),(434,1),(508,1)}
       177:{3,5,7}:{(131,1),(132,1),(133,1)}
       178:{2,3,5,6}:{(132,1),(134,1),(142,1),(215,1),(227,1),(229,1),(230,1),(510,1),(542,1),(551,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(143,1),(216,1),(229,1),(231,1),(234,1),(308,1),(334,1),(340,1),(410,1),(438,1),(441,1),(506,1),(536,1)}
       180:{1,3,4,6}:{(134,1),(135,1),(144,1),(217,1),(230,1),(232,1),(244,1),(324,1),(349,1),(425,1),(436,1),(505,1),(550,1)}
       181:{2,4,5,7}:{(135,1),(139,1),(232,1),(233,1),(237,1),(310,1),(338,1),(413,1),(438,1),(439,1)}
       182:{2,3,5,7}:{(136,1),(137,1),(150,1),(234,1),(235,1),(435,1)}
       183:{1,3,5,6}:{(136,1),(138,1),(151,1),(235,1),(236,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(152,1),(235,1),(237,1),(251,1),(330,1),(430,1)}
       185:{2,4,6}:{(138,1),(139,1),(236,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(154,1),(223,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(149,1),(228,1),(240,1),(447,1)}
       188:{2,5,7}:{(141,1),(142,1),(143,1),(241,1)}
       189:{1,5,6}:{(142,1),(144,1),(241,1)}
       190:{1,4,6,7}:{(143,1),(144,1),(146,1),(152,1),(241,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(147,1),(232,1),(242,1),(244,1),(349,1),(535,1),(550,1)}
       192:{1,3,5,7}:{(145,1),(154,1),(233,1),(244,1),(245,1),(251,1),(351,1),(407,1),(487,1)}
       193:{1,2,6,7}:{(146,1),(147,1),(155,1),(342,1)}
       194:{1,2,3,6}:{(147,1),(148,1),(244,1),(247,1),(535,1)}
       195:{1,2,4,7}:{(148,1),(157,1),(245,1),(247,1),(409,1)}
       196:{2,4,6,7}:{(149,1),(150,1),(234,1),(240,1),(248,1),(342,1)}
       197:{1,4,5,7}:{(150,1),(151,1),(152,1),(235,1),(241,1),(248,1),(430,1),(504,1)}
       198:{1,2,4,5,6}:{(151,1),(153,1),(236,1),(242,1),(249,1),(250,1),(254,1),(336,1),(344,1),(349,1),(357,1),(510,1),(511,1)}
       199:{1,2,4,7}:{(152,1),(153,1),(155,1),(237,1),(251,1)}
       200:{1,3,6}:{(153,1),(154,1),(238,1),(251,1)}
       201:{1,3,4}:{(154,1),(157,1),(239,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(246,1),(251,1),(253,1),(343,1),(348,1),(352,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(252,1),(253,1),(254,1),(344,1),(349,1)}
       204:{2,3,4,5}:{(159,1),(255,1),(256,1),(364,1),(476,1),(520,1)}
       205:{1,3,4,5,6}:{(158,1),(165,1),(175,1),(257,1),(258,1),(282,1),(361,1),(388,1),(462,1),(548,1)}
       206:{1,3,4,7}:{(158,1),(160,1),(259,1),(399,1),(475,1)}
       207:{2,4,6}:{(158,1),(159,1),(161,1),(259,1),(260,1)}
       208:{1,4,5}:{(159,1),(162,1),(260,1)}
       209:{2,3,5,7}:{(160,1),(161,1),(169,1),(259,1),(262,1),(266,1),(456,1),(458,1)}
       210:{1,3,5,6}:{(161,1),(162,1),(170,1),(260,1),(262,1),(263,1),(267,1),(369,1)}
       211:{1,2,5}:{(162,1),(163,1)}
       212:{1,2,3,6}:{(163,1),(172,1),(264,1),(369,1)}
       213:{1,4,5,6,7}:{(164,1),(176,1),(265,1),(294,1),(386,1),(525,1)}
       214:{1,3,5,7}:{(164,1),(165,1),(166,1),(177,1),(266,1)}
       215:{2,5,6}:{(165,1),(167,1),(266,1),(267,1)}
       216:{2,4,6,7}:{(166,1),(167,1),(169,1),(259,1),(266,1),(268,1)}
       217:{1,4,6}:{(167,1),(168,1),(170,1),(267,1)}
       218:{1,2,4,5,7}:{(168,1),(171,1),(173,1),(181,1),(261,1),(269,1),(270,1),(273,1),(275,1),(368,1),(374,1),(379,1),(385,1),(467,1),(468,1),(472,1)}
       219:{1,3,6,7}:{(169,1),(170,1),(262,1),(268,1),(271,1)}
       220:{1,2,6}:{(170,1),(171,1)}
       221:{1,2,3,5,7}:{(171,1),(172,1),(174,1),(264,1),(270,1),(272,1),(273,1),(278,1),(379,1),(385,1)}
       222:{1,2,4,6}:{(173,1),(185,1),(274,1),(275,1),(276,1),(382,1)}
       223:{1,3,5}:{(173,1),(186,1),(276,1),(277,1)}
       224:{1,2,3,6}:{(174,1),(276,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(277,1)}
       226:{3,4,5,7}:{(175,1),(177,1),(280,1),(281,1),(475,1),(528,1)}
       227:{2,4,5,6}:{(175,1),(178,1),(281,1),(282,1),(391,1)}
       228:{3,5,6,7}:{(176,1),(177,1),(280,1),(474,1),(528,1)}
       229:{2,3,5,7}:{(177,1),(178,1),(179,1),(188,1),(266,1),(281,1),(284,1),(480,1),(528,1),(546,1)}
       230:{1,3,5,6}:{(178,1),(180,1),(189,1),(267,1),(282,1),(284,1),(285,1),(388,1),(527,1),(552,1)}
       231:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(190,1),(268,1),(284,1),(286,1),(289,1),(297,1),(362,1),(376,1),(386,1),(399,1),(455,1),(467,1),(471,1),(474,1),(475,1),(543,1)}
       232:{2,4,6}:{(180,1),(181,1),(285,1),(287,1)}
       233:{2,3,5,7}:{(181,1),(186,1),(192,1),(270,1),(287,1),(288,1),(292,1),(364,1),(393,1),(458,1)}
       234:{2,3,6,7}:{(182,1),(196,1),(289,1),(474,1)}
       235:{1,3,5,7}:{(182,1),(183,1),(184,1),(197,1),(289,1),(290,1)}
       236:{2,5,6}:{(183,1),(185,1),(290,1)}
       237:{2,4,7}:{(184,1),(185,1),(290,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(200,1),(276,1),(292,1)}
       239:{2,3,4}:{(186,1),(201,1),(277,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(196,1),(294,1),(480,1)}
       241:{1,5,7}:{(188,1),(189,1),(190,1)}
       242:{1,2,5,6}:{(189,1),(191,1),(285,1),(295,1),(296,1),(300,1),(552,1)}
       243:{1,2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(286,1),(295,1),(297,1),(399,1),(450,1),(512,1),(543,1)}
       244:{1,3,6}:{(191,1),(192,1),(287,1)}
       245:{1,3,4,7}:{(192,1),(195,1),(201,1),(288,1),(298,1),(399,1),(452,1)}
       246:{1,2,3,6,7}:{(193,1),(194,1),(202,1),(297,1),(299,1),(394,1),(405,1),(453,1)}
       247:{1,2,4,6}:{(194,1),(195,1),(298,1),(300,1)}
       248:{1,4,6,7}:{(196,1),(197,1),(289,1),(294,1)}
       249:{1,2,4,5,7}:{(197,1),(198,1),(199,1),(290,1),(295,1),(301,1),(302,1),(387,1),(395,1),(399,1),(480,1),(482,1)}
       250:{1,3,5,6}:{(198,1),(200,1),(291,1),(302,1),(303,1),(305,1),(388,1),(405,1)}
       251:{1,3,7}:{(199,1),(200,1),(292,1)}
       252:{1,3,4,6}:{(200,1),(201,1),(203,1),(293,1),(304,1),(305,1),(405,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(304,1),(395,1),(399,1)}
       254:{1,2,4,5}:{(203,1),(300,1),(305,1),(396,1),(400,1)}
       255:{2,3,4,6}:{(204,1),(207,1),(307,1),(308,1),(309,1),(414,1),(436,1),(493,1)}
       256:{1,3,4,5}:{(204,1),(208,1),(309,1),(310,1),(316,1),(407,1),(533,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(226,1),(311,1),(312,1),(335,1),(411,1),(435,1),(497,1),(539,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(307,1),(312,1),(313,1),(412,1),(493,1),(551,1)}
       259:{2,4,7}:{(206,1),(207,1),(209,1),(314,1)}
       260:{1,4,6}:{(207,1),(208,1),(210,1),(314,1)}
       261:{1,2,4,5}:{(208,1),(211,1),(310,1),(315,1),(316,1),(319,1)}
       262:{1,3,5,7}:{(209,1),(210,1),(219,1),(314,1),(317,1),(321,1),(419,1)}
       263:{1,2,5,6}:{(210,1),(211,1),(220,1),(315,1),(317,1),(412,1)}
       264:{1,2,3,5}:{(211,1),(212,1),(316,1),(319,1)}
       265:{1,3,5,6,7}:{(213,1),(214,1),(228,1),(311,1),(320,1),(539,1)}
       266:{2,5,7}:{(214,1),(215,1),(216,1),(321,1)}
       267:{1,5,6}:{(215,1),(217,1),(321,1)}
       268:{1,4,6,7}:{(216,1),(217,1),(219,1),(314,1),(321,1)}
       269:{1,2,4,6}:{(217,1),(218,1),(220,1),(232,1),(322,1),(324,1),(425,1),(433,1),(505,1)}
       270:{1,3,5,7}:{(218,1),(223,1),(233,1),(316,1),(324,1),(325,1),(330,1),(419,1),(427,1)}
       271:{1,2,6,7}:{(219,1),(220,1),(317,1),(491,1)}
       272:{1,2,3,6}:{(220,1),(221,1),(324,1),(327,1),(433,1)}
       273:{1,2,4,7}:{(221,1),(225,1),(319,1),(325,1),(327,1)}
       274:{1,2,5,6}:{(222,1),(236,1),(328,1),(329,1),(333,1),(433,1)}
       275:{1,2,4,7}:{(222,1),(237,1),(328,1),(330,1),(430,1)}
       276:{1,3,6}:{(222,1),(223,1),(238,1),(330,1)}
       277:{1,3,4}:{(223,1),(225,1),(239,1)}
       278:{1,2,3,7}:{(224,1),(330,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(331,1),(332,1),(333,1),(433,1)}
       280:{3,4,6,7}:{(226,1),(228,1),(334,1)}
       281:{2,4,5,7}:{(226,1),(227,1),(229,1),(334,1),(335,1),(438,1)}
       282:{1,4,5,6}:{(227,1),(230,1),(335,1),(336,1),(349,1),(425,1)}
       283:{2,3,5,6,7}:{(228,1),(229,1),(234,1),(240,1),(320,1),(334,1),(337,1),(410,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(231,1),(241,1),(321,1),(335,1),(338,1),(435,1),(504,1),(549,1)}
       285:{2,5,6}:{(230,1),(232,1),(338,1)}
       286:{2,4,6,7}:{(231,1),(232,1),(237,1),(338,1),(340,1),(342,1),(413,1),(438,1),(491,1)}
       287:{2,3,6}:{(232,1),(233,1),(244,1),(324,1)}
       288:{2,3,4,7}:{(233,1),(239,1),(245,1),(325,1),(341,1),(415,1),(438,1)}
       289:{1,3,6,7}:{(234,1),(235,1),(248,1),(342,1)}
       290:{2,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5,6}:{(236,1),(238,1),(250,1),(329,1),(343,1),(344,1),(346,1),(443,1),(510,1)}
       292:{2,3,7}:{(237,1),(238,1),(251,1),(330,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(252,1),(331,1),(344,1),(345,1),(346,1),(443,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(248,1),(504,1)}
       295:{1,2,5,7}:{(241,1),(242,1),(243,1),(338,1),(348,1),(549,1)}
       296:{1,3,5,6}:{(242,1),(244,1),(339,1),(348,1),(349,1),(351,1)}
       297:{1,3,6,7}:{(243,1),(244,1),(251,1),(340,1),(348,1),(487,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(247,1),(341,1),(349,1),(351,1)}
       299:{1,2,4,6,7}:{(246,1),(247,1),(253,1),(350,1),(352,1),(357,1),(441,1),(489,1),(535,1)}
       300:{1,2,5}:{(247,1),(351,1)}
       301:{1,2,4,6,7}:{(248,1),(249,1),(342,1),(347,1),(353,1),(357,1),(434,1),(441,1),(444,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(251,1),(343,1),(353,1),(354,1),(435,1)}
       303:{1,3,4,6}:{(250,1),(344,1),(349,1),(354,1),(355,1),(436,1)}
       304:{1,3,4,7}:{(251,1),(252,1),(253,1),(345,1),(356,1)}
       305:{1,3,5}:{(252,1),(254,1),(346,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(352,1),(356,1),(357,1),(442,1),(445,1)}
       307:{2,3,5,6}:{(255,1),(258,1),(360,1),(361,1),(388,1)}
       308:{2,3,4,7}:{(255,1),(259,1),(360,1),(362,1),(458,1),(475,1),(519,1)}
       309:{1,3,4,6}:{(255,1),(256,1),(260,1),(361,1),(362,1),(363,1),(369,1),(451,1),(514,1)}
       310:{2,4,5}:{(256,1),(363,1),(364,1)}
       311:{1,3,4,6,7}:{(257,1),(265,1),(280,1),(365,1),(386,1),(455,1),(474,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(360,1),(365,1),(366,1),(456,1),(519,1),(546,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(267,1),(361,1),(366,1),(514,1),(552,1)}
       314:{1,4,7}:{(259,1),(260,1),(262,1)}
       315:{1,2,4,6}:{(260,1),(261,1),(263,1),(363,1),(368,1),(369,1)}
       316:{1,3,5}:{(261,1),(364,1),(369,1),(370,1)}
       317:{1,2,5,7}:{(262,1),(263,1),(271,1),(368,1),(456,1)}
       318:{1,2,3,5,6}:{(263,1),(264,1),(272,1),(369,1),(371,1),(372,1),(375,1),(379,1),(457,1),(464,1),(470,1),(524,1)}
       319:{1,2,4}:{(264,1),(370,1)}
       320:{2,5,6,7}:{(265,1),(266,1),(365,1),(373,1),(546,1)}
       321:{1,5,7}:{(266,1),(267,1),(268,1)}
       322:{1,2,5,6}:{(267,1),(269,1),(285,1),(374,1),(375,1),(379,1),(527,1)}
       323:{1,2,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(286,1),(368,1),(374,1),(376,1),(380,1),(467,1),(471,1)}
       324:{1,3,6}:{(269,1),(270,1),(287,1)}
       325:{1,3,4,7}:{(270,1),(273,1),(277,1),(288,1),(370,1),(377,1),(467,1)}
       326:{1,2,3,6,7}:{(271,1),(272,1),(278,1),(371,1),(376,1),(378,1),(518,1),(524,1)}
       327:{1,2,4,6}:{(272,1),(273,1),(377,1),(379,1)}
       328:{1,2,5,7}:{(274,1),(275,1),(290,1),(380,1),(381,1)}
       329:{1,3,5,6}:{(274,1),(276,1),(291,1),(381,1),(382,1),(384,1),(473,1),(527,1)}
       330:{1,3,7}:{(275,1),(276,1),(292,1)}
       331:{1,3,4,6}:{(276,1),(277,1),(279,1),(293,1),(382,1),(383,1),(384,1),(473,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(383,1),(385,1)}
       333:{1,2,5}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(283,1),(386,1)}
       335:{1,4,5,7}:{(281,1),(282,1),(284,1),(386,1),(387,1),(399,1),(467,1)}
       336:{2,4,5,6}:{(282,1),(285,1),(387,1),(388,1),(391,1)}
       337:{1,3,5,6,7}:{(283,1),(284,1),(289,1),(294,1),(373,1),(386,1),(389,1),(455,1),(474,1)}
       338:{2,5,7}:{(284,1),(285,1),(286,1)}
       339:{2,3,5,6}:{(285,1),(287,1),(296,1),(375,1),(388,1),(390,1),(391,1),(393,1)}
       340:{2,3,6,7}:{(286,1),(287,1),(292,1),(297,1),(376,1),(390,1),(458,1),(474,1)}
       341:{2,3,4,6}:{(287,1),(288,1),(298,1),(377,1),(391,1),(393,1)}
       342:{2,6,7}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(302,1),(381,1),(394,1),(395,1),(480,1)}
       344:{2,4,6}:{(291,1),(303,1),(382,1),(395,1),(396,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(304,1),(383,1),(395,1),(397,1)}
       346:{2,3,5}:{(293,1),(305,1),(384,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(301,1),(389,1),(398,1),(402,1),(480,1),(512,1)}
       348:{1,3,5,7}:{(295,1),(296,1),(297,1),(390,1),(399,1)}
       349:{1,4,6}:{(296,1),(391,1),(399,1),(400,1)}
       350:{1,3,4,6,7}:{(297,1),(298,1),(299,1),(304,1),(392,1),(399,1),(401,1),(405,1),(483,1),(515,1),(543,1),(545,1)}
       351:{1,3,5}:{(298,1),(300,1),(393,1),(400,1)}
       352:{1,2,5,7}:{(299,1),(300,1),(401,1),(402,1),(480,1)}
       353:{1,3,6,7}:{(301,1),(302,1),(394,1),(405,1),(474,1)}
       354:{1,3,4,7}:{(302,1),(303,1),(395,1),(399,1),(475,1)}
       355:{1,3,4,5}:{(303,1),(305,1),(396,1),(400,1),(476,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(306,1),(397,1),(405,1)}
       357:{1,2,4,6}:{(306,1),(402,1),(405,1),(481,1),(483,1)}
       358:{1,2,4,5}:{(310,1),(406,1),(407,1),(409,1),(490,1),(533,1)}
       359:{1,2,3,5}:{(407,1),(408,1),(409,1),(490,1)}
       360:{2,3,5,7}:{(307,1),(308,1),(312,1),(410,1),(411,1),(435,1)}
       361:{1,3,5,6}:{(307,1),(309,1),(313,1),(411,1),(412,1)}
       362:{1,3,4,7}:{(308,1),(309,1),(314,1),(411,1),(413,1),(419,1),(487,1),(532,1)}
       363:{2,4,6}:{(309,1),(310,1),(412,1),(413,1),(414,1)}
       364:{2,3,5}:{(310,1),(316,1),(407,1),(414,1),(415,1)}
       365:{2,4,6,7}:{(311,1),(312,1),(320,1),(410,1),(416,1),(491,1)}
       366:{1,4,5,7}:{(312,1),(313,1),(314,1),(321,1),(411,1),(416,1),(532,1),(549,1)}
       367:{1,2,4,5,6}:{(313,1),(315,1),(322,1),(336,1),(412,1),(417,1),(418,1),(422,1),(425,1),(493,1),(500,1),(541,1),(551,1)}
       368:{1,2,4,7}:{(314,1),(315,1),(317,1),(413,1),(419,1)}
       369:{1,3,6}:{(315,1),(316,1),(414,1),(419,1)}
       370:{1,3,4}:{(316,1),(319,1),(415,1)}
       371:{1,2,3,5,7}:{(317,1),(318,1),(326,1),(419,1),(421,1),(424,1),(428,1),(492,1),(499,1)}
       372:{1,2,4,6}:{(318,1),(319,1),(420,1),(421,1),(422,1),(425,1),(493,1)}
       373:{1,5,6,7}:{(320,1),(321,1),(416,1),(549,1)}
       374:{1,2,5,7}:{(321,1),(322,1),(323,1),(338,1),(424,1),(504,1)}
       375:{1,3,5,6}:{(322,1),(324,1),(339,1),(424,1),(425,1),(427,1)}
       376:{1,3,6,7}:{(323,1),(324,1),(330,1),(340,1),(419,1),(424,1)}
       377:{1,3,4,6}:{(324,1),(325,1),(327,1),(341,1),(425,1),(427,1)}
       378:{1,2,4,6,7}:{(326,1),(327,1),(332,1),(421,1),(426,1),(428,1),(433,1),(500,1),(536,1)}
       379:{1,2,5}:{(327,1),(427,1)}
       380:{1,2,6,7}:{(328,1),(342,1),(429,1),(433,1)}
       381:{1,3,5,7}:{(328,1),(329,1),(330,1),(343,1),(429,1),(430,1),(504,1)}
       382:{1,4,6}:{(329,1),(344,1),(430,1),(431,1)}
       383:{1,3,4,7}:{(330,1),(331,1),(332,1),(345,1),(430,1),(432,1)}
       384:{1,3,5}:{(331,1),(333,1),(346,1),(431,1)}
       385:{1,2,5,7}:{(332,1),(333,1),(432,1),(433,1)}
       386:{1,4,6,7}:{(334,1),(335,1),(337,1),(434,1)}
       387:{2,4,5,7}:{(335,1),(336,1),(338,1),(434,1),(435,1),(438,1)}
       388:{3,5,6}:{(336,1),(435,1),(436,1)}
       389:{2,5,6,7}:{(337,1),(338,1),(342,1),(434,1),(491,1)}
       390:{2,3,5,7}:{(338,1),(339,1),(340,1),(348,1),(424,1),(435,1),(438,1)}
       391:{2,4,6}:{(339,1),(349,1),(425,1),(436,1),(438,1),(439,1)}
       392:{2,3,4,6,7}:{(340,1),(341,1),(345,1),(350,1),(426,1),(438,1),(440,1),(441,1),(443,1),(494,1),(506,1),(509,1),(536,1),(538,1)}
       393:{2,3,5}:{(341,1),(351,1),(427,1),(439,1)}
       394:{2,3,6,7}:{(342,1),(343,1),(353,1),(429,1),(441,1),(443,1)}
       395:{2,4,7}:{(343,1),(344,1),(354,1),(430,1)}
       396:{2,4,5}:{(344,1),(346,1),(355,1),(431,1)}
       397:{2,3,5,7}:{(345,1),(346,1),(356,1),(432,1),(442,1),(443,1)}
       398:{1,3,5,6,7}:{(347,1),(348,1),(353,1),(437,1),(444,1),(446,1),(447,1),(531,1),(549,1)}
       399:{1,4,7}:{(348,1),(349,1),(438,1)}
       400:{1,4,5}:{(349,1),(351,1),(439,1)}
       401:{1,3,5,7}:{(350,1),(351,1),(352,1),(440,1),(445,1),(446,1),(549,1)}
       402:{1,2,5,6}:{(352,1),(357,1),(446,1),(510,1),(535,1)}
       403:{1,3,4,6,7}:{(353,1),(354,1),(441,1),(444,1),(447,1),(448,1),(506,1)}
       404:{1,3,4,5,7}:{(354,1),(355,1),(356,1),(442,1),(445,1),(447,1),(448,1),(507,1)}
       405:{1,3,6}:{(356,1),(357,1),(443,1)}
       406:{1,2,4,6}:{(358,1),(363,1),(449,1),(450,1),(451,1),(514,1)}
       407:{1,3,5}:{(358,1),(364,1),(451,1),(452,1)}
       408:{1,2,3,6}:{(359,1),(451,1),(453,1),(454,1)}
       409:{1,2,4}:{(359,1),(452,1)}
       410:{2,3,6,7}:{(360,1),(365,1),(455,1),(474,1)}
       411:{1,3,5,7}:{(360,1),(361,1),(362,1),(366,1),(455,1),(456,1)}
       412:{2,5,6}:{(361,1),(363,1),(456,1)}
       413:{2,4,7}:{(362,1),(363,1),(456,1),(458,1)}
       414:{2,3,6}:{(363,1),(364,1),(369,1),(451,1),(458,1)}
       415:{2,3,4}:{(364,1),(370,1),(452,1)}
       416:{1,4,6,7}:{(365,1),(366,1),(373,1),(455,1)}
       417:{1,2,4,5,7}:{(366,1),(367,1),(368,1),(374,1),(387,1),(456,1),(460,1),(461,1),(467,1),(519,1),(525,1),(546,1)}
       418:{1,3,5,6}:{(367,1),(369,1),(388,1),(457,1),(461,1),(462,1),(464,1),(524,1)}
       419:{1,3,7}:{(368,1),(369,1),(458,1)}
       420:{1,3,4,6}:{(369,1),(370,1),(372,1),(459,1),(463,1),(464,1),(524,1)}
       421:{1,2,4,7}:{(371,1),(372,1),(463,1),(467,1),(519,1)}
       422:{1,2,4,5}:{(372,1),(379,1),(464,1),(468,1),(520,1)}
       423:{1,2,5,6,7}:{(373,1),(374,1),(380,1),(389,1),(460,1),(466,1),(470,1),(546,1)}
       424:{1,3,5,7}:{(374,1),(375,1),(376,1),(390,1),(467,1)}
       425:{1,4,6}:{(375,1),(391,1),(467,1),(468,1)}
       426:{1,3,4,6,7}:{(376,1),(377,1),(378,1),(383,1),(392,1),(463,1),(467,1),(469,1),(471,1),(473,1),(524,1),(526,1)}
       427:{1,3,5}:{(377,1),(379,1),(393,1),(468,1)}
       428:{1,2,5,7}:{(378,1),(379,1),(469,1),(470,1),(546,1)}
       429:{1,3,6,7}:{(380,1),(381,1),(394,1),(471,1),(473,1)}
       430:{1,4,7}:{(381,1),(382,1),(395,1)}
       431:{1,4,5}:{(382,1),(384,1),(396,1)}
       432:{1,3,5,7}:{(383,1),(384,1),(385,1),(397,1),(472,1),(473,1)}
       433:{1,2,6}:{(385,1),(473,1)}
       434:{2,4,6,7}:{(386,1),(387,1),(389,1),(474,1)}
       435:{3,5,7}:{(387,1),(388,1),(474,1),(475,1)}
       436:{3,4,6}:{(388,1),(391,1),(475,1),(476,1)}
       437:{2,3,5,6,7}:{(389,1),(390,1),(394,1),(398,1),(466,1),(474,1),(477,1),(479,1),(480,1),(518,1),(528,1),(546,1)}
       438:{2,4,7}:{(390,1),(391,1),(399,1),(467,1),(475,1)}
       439:{2,4,5}:{(391,1),(393,1),(400,1),(468,1),(476,1)}
       440:{2,3,5,7}:{(392,1),(393,1),(401,1),(469,1),(478,1),(479,1),(480,1),(528,1),(546,1)}
       441:{2,4,6,7}:{(394,1),(395,1),(403,1),(471,1),(480,1),(481,1)}
       442:{2,4,5,7}:{(395,1),(396,1),(397,1),(404,1),(472,1),(480,1),(481,1)}
       443:{2,3,6}:{(397,1),(405,1),(473,1),(481,1)}
       444:{1,4,6,7}:{(398,1),(399,1),(477,1),(482,1),(483,1)}
       445:{1,4,5,7}:{(399,1),(400,1),(401,1),(478,1),(483,1)}
       446:{1,3,5,6}:{(401,1),(402,1),(405,1),(479,1),(483,1),(545,1),(552,1)}
       447:{1,3,5,7}:{(403,1),(480,1),(482,1),(484,1),(528,1)}
       448:{1,3,4,6}:{(404,1),(405,1),(481,1),(483,1),(484,1),(529,1)}
       449:{1,2,5,6}:{(406,1),(412,1),(485,1),(486,1),(490,1),(535,1)}
       450:{1,2,4,7}:{(406,1),(413,1),(485,1),(487,1),(532,1)}
       451:{1,3,6}:{(406,1),(407,1),(414,1),(487,1)}
       452:{1,3,4}:{(407,1),(409,1),(415,1)}
       453:{1,2,3,7}:{(408,1),(487,1),(489,1)}
       454:{1,2,4,6}:{(408,1),(409,1),(488,1),(489,1),(490,1),(535,1)}
       455:{1,3,6,7}:{(410,1),(411,1),(416,1),(491,1)}
       456:{2,5,7}:{(411,1),(412,1),(413,1),(491,1)}
       457:{2,3,5,6}:{(412,1),(414,1),(418,1),(486,1),(492,1),(493,1),(495,1),(538,1),(551,1)}
       458:{2,3,7}:{(413,1),(414,1),(419,1),(487,1)}
       459:{2,3,4,6}:{(414,1),(415,1),(420,1),(488,1),(493,1),(494,1),(495,1),(538,1)}
       460:{1,2,4,6,7}:{(416,1),(417,1),(423,1),(434,1),(491,1),(496,1),(500,1),(501,1),(536,1)}
       461:{1,3,5,7}:{(417,1),(418,1),(419,1),(435,1),(492,1),(496,1),(497,1)}
       462:{1,3,4,6}:{(418,1),(425,1),(436,1),(493,1),(497,1),(498,1)}
       463:{1,3,4,7}:{(419,1),(420,1),(421,1),(494,1),(499,1)}
       464:{1,3,5}:{(420,1),(422,1),(495,1)}
       465:{1,2,4,5,7}:{(421,1),(422,1),(428,1),(499,1),(500,1),(502,1),(537,1)}
       466:{1,3,5,6,7}:{(423,1),(424,1),(429,1),(437,1),(496,1),(501,1),(503,1),(504,1),(539,1)}
       467:{1,4,7}:{(424,1),(425,1),(438,1)}
       468:{1,4,5}:{(425,1),(427,1),(439,1)}
       469:{1,3,5,7}:{(426,1),(427,1),(428,1),(440,1),(502,1),(503,1),(504,1)}
       470:{1,2,5,6}:{(428,1),(433,1),(500,1),(503,1),(551,1)}
       471:{1,4,6,7}:{(429,1),(430,1),(441,1),(504,1),(505,1)}
       472:{1,4,5,7}:{(430,1),(431,1),(432,1),(442,1),(504,1),(505,1)}
       473:{1,3,6}:{(432,1),(433,1),(443,1),(505,1)}
       474:{3,6,7}:{(434,1),(435,1)}
       475:{3,4,7}:{(435,1),(436,1),(438,1)}
       476:{3,4,5}:{(436,1),(439,1)}
       477:{2,4,6,7}:{(437,1),(438,1),(444,1),(501,1),(506,1),(508,1),(509,1)}
       478:{2,4,5,7}:{(438,1),(439,1),(440,1),(445,1),(502,1),(507,1),(509,1)}
       479:{2,3,5,6}:{(440,1),(443,1),(446,1),(503,1),(509,1),(510,1),(538,1),(542,1),(551,1)}
       480:{2,5,7}:{(441,1),(447,1),(504,1),(510,1)}
       481:{2,4,6}:{(442,1),(443,1),(448,1),(505,1),(510,1)}
       482:{1,4,5,7}:{(444,1),(447,1),(508,1),(511,1),(549,1)}
       483:{1,4,6}:{(445,1),(446,1),(509,1)}
       484:{1,3,5,6}:{(447,1),(448,1),(510,1),(511,1),(542,1)}
       485:{1,2,5,7}:{(449,1),(450,1),(456,1),(512,1),(513,1)}
       486:{1,3,5,6}:{(449,1),(451,1),(457,1),(513,1),(514,1),(516,1),(545,1),(552,1)}
       487:{1,3,7}:{(450,1),(451,1),(458,1)}
       488:{1,3,4,6}:{(451,1),(452,1),(454,1),(459,1),(514,1),(515,1),(516,1),(545,1)}
       489:{1,2,4,7}:{(453,1),(454,1),(515,1),(517,1)}
       490:{1,2,5}:{(454,1),(516,1)}
       491:{2,6,7}:{(455,1),(456,1)}
       492:{2,3,5,7}:{(456,1),(457,1),(458,1),(461,1),(513,1),(518,1),(519,1),(546,1)}
       493:{2,4,6}:{(457,1),(462,1),(514,1),(519,1),(520,1)}
       494:{2,3,4,7}:{(458,1),(459,1),(463,1),(515,1),(519,1),(521,1)}
       495:{2,3,5}:{(459,1),(464,1),(516,1),(520,1)}
       496:{1,3,6,7}:{(460,1),(461,1),(474,1),(518,1),(524,1)}
       497:{1,3,4,7}:{(461,1),(462,1),(467,1),(475,1),(519,1)}
       498:{1,3,4,5}:{(462,1),(464,1),(468,1),(476,1),(520,1)}
       499:{1,3,5,7}:{(463,1),(464,1),(465,1),(521,1),(524,1)}
       500:{1,2,4,6}:{(465,1),(470,1),(524,1),(526,1),(547,1)}
       501:{1,4,6,7}:{(466,1),(467,1),(477,1),(525,1),(526,1)}
       502:{1,4,5,7}:{(467,1),(468,1),(469,1),(478,1),(526,1)}
       503:{1,3,5,6}:{(469,1),(470,1),(473,1),(479,1),(524,1),(526,1),(527,1)}
       504:{1,5,7}:{(471,1),(480,1),(527,1)}
       505:{1,4,6}:{(472,1),(473,1),(481,1),(527,1)}
       506:{3,4,6,7}:{(474,1),(475,1),(477,1),(528,1),(529,1)}
       507:{3,4,5,7}:{(475,1),(476,1),(478,1),(528,1),(529,1)}
       508:{2,4,5,7}:{(477,1),(480,1),(482,1),(525,1),(528,1),(530,1),(546,1)}
       509:{2,4,6}:{(478,1),(479,1),(483,1),(526,1),(529,1)}
       510:{2,5,6}:{(480,1),(481,1),(484,1),(527,1)}
       511:{1,4,5,6}:{(482,1),(483,1),(484,1),(530,1),(552,1)}
       512:{1,2,6,7}:{(485,1),(491,1),(531,1),(535,1)}
       513:{1,3,5,7}:{(485,1),(486,1),(487,1),(492,1),(531,1),(532,1),(549,1)}
       514:{1,4,6}:{(486,1),(493,1),(532,1),(533,1)}
       515:{1,3,4,7}:{(487,1),(488,1),(489,1),(494,1),(532,1),(534,1)}
       516:{1,3,5}:{(488,1),(490,1),(495,1),(533,1)}
       517:{1,2,5,7}:{(489,1),(490,1),(534,1),(535,1)}
       518:{2,3,6,7}:{(491,1),(492,1),(496,1),(531,1),(536,1),(538,1)}
       519:{2,4,7}:{(492,1),(493,1),(497,1),(532,1)}
       520:{2,4,5}:{(493,1),(495,1),(498,1),(533,1)}
       521:{2,3,5,7}:{(494,1),(495,1),(499,1),(534,1),(537,1),(538,1)}
       522:{1,3,4,6,7}:{(496,1),(497,1),(501,1),(506,1),(536,1),(539,1),(540,1)}
       523:{1,3,4,5,7}:{(497,1),(498,1),(499,1),(502,1),(507,1),(537,1),(539,1),(540,1)}
       524:{1,3,6}:{(499,1),(500,1),(538,1)}
       525:{1,4,5,7}:{(501,1),(504,1),(508,1),(539,1),(541,1)}
       526:{1,4,6}:{(502,1),(503,1),(509,1)}
       527:{1,5,6}:{(504,1),(505,1),(510,1)}
       528:{3,5,7}:{(506,1),(508,1),(542,1)}
       529:{3,4,6}:{(507,1),(509,1),(542,1)}
       530:{2,4,5,6}:{(508,1),(509,1),(510,1),(511,1),(541,1),(542,1),(551,1)}
       531:{1,3,6,7}:{(512,1),(513,1),(518,1),(543,1),(545,1)}
       532:{1,4,7}:{(513,1),(514,1),(519,1)}
       533:{1,4,5}:{(514,1),(516,1),(520,1)}
       534:{1,3,5,7}:{(515,1),(516,1),(517,1),(521,1),(544,1),(545,1)}
       535:{1,2,6}:{(517,1),(545,1)}
       536:{2,4,6,7}:{(518,1),(519,1),(522,1),(543,1),(546,1),(547,1)}
       537:{2,4,5,7}:{(519,1),(520,1),(521,1),(523,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(524,1),(545,1),(547,1)}
       539:{1,3,5,7}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6}:{(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,6}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,6}:{(528,1),(529,1),(530,1)}
       543:{1,4,6,7}:{(531,1),(532,1),(536,1),(549,1),(550,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(537,1),(549,1),(550,1)}
       545:{1,3,6}:{(534,1),(535,1),(538,1),(550,1)}
       546:{2,5,7}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,6}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,7}:{(543,1),(546,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,6}:{(549,1),(550,1),(551,1)}

2254 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2255 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2256 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2257 :   0:{1,2,3,6,7}:{(1,1),(2,1),(37,1),(40,1),(80,1),(89,1),(251,1),(368,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(23,1),(112,1),(293,1),(346,1),(347,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(60,1),(115,1),(121,1),(122,1)}
         3:{2,3,4,6,7}:{(5,1),(8,1),(22,1),(27,1),(62,1),(68,1),(121,1),(177,1),(269,1),(341,1)}
         4:{1,2,3,5,6}:{(1,1),(10,1),(14,1),(32,1),(40,1),(78,1),(80,1),(141,1),(157,1),(249,1),(313,1),(314,1)}
         5:{1,3,4,6,7}:{(2,1),(3,1),(9,1),(11,1),(12,1),(35,1),(38,1),(40,1),(88,1),(156,1),(162,1),(251,1),(329,1)}
         6:{1,2,4,7}:{(1,1),(10,1),(12,1),(151,1),(329,1)}
         7:{1,2,5,7}:{(2,1),(11,1),(14,1),(157,1),(159,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(15,1),(16,1),(93,1),(159,1),(222,1)}
         9:{2,3,4,6,7}:{(5,1),(17,1),(22,1),(47,1),(62,1),(102,1),(121,1),(127,1),(216,1),(300,1)}
        10:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1),(108,1),(184,1),(292,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(8,1),(17,1),(20,1),(21,1),(203,1),(205,1)}
        12:{1,3,4,7}:{(6,1),(18,1),(22,1),(23,1),(347,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1),(57,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(24,1),(116,1),(122,1)}
        15:{2,4,5,7}:{(8,1),(20,1),(26,1),(27,1),(266,1),(341,1)}
        16:{2,3,5,6}:{(8,1),(21,1),(27,1),(62,1),(64,1),(116,1)}
        17:{2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(136,1),(159,1),(169,1)}
        18:{1,3,4,6}:{(10,1),(12,1),(31,1),(32,1),(40,1),(229,1),(314,1)}
        19:{1,2,4,5}:{(10,1),(32,1),(74,1),(157,1),(248,1)}
        20:{1,4,5,7}:{(11,1),(15,1),(29,1),(35,1),(248,1),(329,1)}
        21:{1,3,5,6}:{(11,1),(14,1),(16,1),(30,1),(35,1),(40,1),(88,1),(158,1)}
        22:{2,3,4,7}:{(12,1),(31,1),(38,1),(39,1),(151,1),(321,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(32,1),(39,1),(40,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(40,1),(85,1)}
        25:{1,2,5,6,7}:{(14,1),(36,1),(41,1),(159,1),(163,1),(247,1),(250,1),(258,1),(307,1)}
        26:{3,4,5,7}:{(15,1),(44,1),(93,1),(302,1),(363,1)}
        27:{2,4,6}:{(15,1),(16,1),(35,1),(44,1)}
        28:{2,3,5,6,7}:{(16,1),(36,1),(45,1),(89,1),(93,1),(159,1),(307,1),(309,1),(362,1)}
        29:{2,4,5,7}:{(17,1),(20,1),(46,1),(47,1),(213,1),(300,1)}
        30:{2,3,5,6}:{(17,1),(21,1),(47,1),(62,1),(98,1),(116,1)}
        31:{2,3,4,6}:{(18,1),(22,1),(51,1),(52,1),(62,1),(108,1),(186,1),(280,1)}
        32:{1,3,5}:{(18,1),(19,1),(52,1)}
        33:{1,2,4,5,6}:{(19,1),(24,1),(53,1),(54,1),(55,1),(108,1),(116,1),(194,1),(204,1),(209,1),(262,1),(274,1),(278,1),(292,1)}
        34:{1,3,4,5,7}:{(20,1),(23,1),(26,1),(46,1),(49,1),(57,1),(58,1),(109,1),(117,1)}
        35:{1,4,6}:{(20,1),(21,1),(27,1),(47,1)}
        36:{1,3,5,6,7}:{(21,1),(25,1),(28,1),(48,1),(59,1),(63,1),(117,1),(123,1),(205,1),(293,1)}
        37:{1,2,3,7}:{(50,1),(60,1),(288,1)}
        38:{1,3,4,7}:{(22,1),(51,1),(60,1),(61,1),(198,1),(288,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(52,1),(57,1),(61,1),(62,1)}
        40:{1,3,6}:{(23,1),(24,1),(62,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(54,1),(59,1),(63,1),(121,1),(284,1),(295,1),(336,1),(350,1)}
        42:{2,4,5,6}:{(27,1),(55,1),(64,1),(65,1),(116,1)}
        43:{2,3,4,5,7}:{(26,1),(57,1),(66,1),(67,1),(103,1),(129,1),(180,1),(189,1),(266,1),(335,1),(341,1),(348,1)}
        44:{3,4,6}:{(26,1),(27,1),(64,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(59,1),(65,1),(68,1),(341,1)}
        46:{3,4,5,7}:{(29,1),(71,1),(136,1),(253,1),(332,1)}
        47:{2,4,6}:{(29,1),(30,1),(35,1),(71,1)}
        48:{2,3,5,6,7}:{(30,1),(36,1),(72,1),(89,1),(136,1),(159,1),(258,1),(260,1),(331,1)}
        49:{1,3,4,5}:{(32,1),(74,1),(75,1),(248,1),(253,1),(302,1)}
        50:{1,2,3,6}:{(37,1),(73,1),(76,1),(243,1)}
        51:{1,3,4,6}:{(31,1),(38,1),(76,1),(77,1),(88,1),(148,1),(150,1),(243,1)}
        52:{2,3,5}:{(31,1),(32,1),(74,1),(77,1)}
        53:{1,3,5,6}:{(32,1),(33,1),(40,1),(75,1),(78,1),(79,1),(254,1),(303,1),(314,1)}
        54:{1,2,4,5,7}:{(33,1),(41,1),(79,1),(82,1),(151,1),(159,1),(242,1),(250,1),(255,1),(304,1),(315,1),(320,1),(329,1)}
        55:{1,4,5,6}:{(35,1),(42,1),(69,1),(81,1),(82,1),(158,1)}
        56:{1,2,3,5,7}:{(37,1),(73,1),(80,1),(83,1),(87,1),(141,1),(157,1),(160,1),(227,1),(311,1)}
        57:{2,4,5,7}:{(34,1),(39,1),(74,1),(84,1),(85,1),(151,1),(159,1)}
        58:{1,3,4,6}:{(34,1),(35,1),(40,1),(44,1),(71,1),(81,1),(85,1)}
        59:{1,4,6,7}:{(35,1),(36,1),(45,1),(72,1),(82,1),(329,1)}
        60:{1,2,4,7}:{(37,1),(38,1),(76,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(77,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(85,1),(88,1)}
        63:{1,3,6,7}:{(40,1),(41,1),(79,1),(89,1),(331,1),(362,1)}
        64:{3,5,6}:{(42,1),(44,1),(93,1)}
        65:{2,4,5,7}:{(42,1),(45,1),(82,1),(93,1),(159,1)}
        66:{1,3,4,5,7}:{(43,1),(84,1),(95,1),(96,1),(142,1),(160,1),(171,1),(236,1),(248,1),(253,1),(329,1),(332,1),(366,1)}
        67:{2,3,4,6}:{(43,1),(44,1),(85,1),(92,1),(96,1),(225,1),(308,1),(361,1),(371,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(93,1),(362,1),(363,1)}
        69:{2,4,5,6}:{(47,1),(55,1),(98,1),(99,1),(116,1)}
        70:{2,3,4,5,7}:{(46,1),(57,1),(100,1),(101,1),(103,1),(130,1),(179,1),(189,1),(213,1),(294,1),(300,1),(348,1)}
        71:{3,4,6}:{(46,1),(47,1),(98,1)}
        72:{2,4,6,7}:{(47,1),(48,1),(59,1),(99,1),(102,1),(300,1)}
        73:{1,2,3,5}:{(50,1),(106,1),(110,1),(196,1)}
        74:{2,4,5}:{(49,1),(52,1),(107,1),(108,1)}
        75:{1,3,4,6}:{(49,1),(53,1),(108,1),(109,1),(292,1),(296,1),(337,1)}
        76:{1,2,4,6}:{(50,1),(51,1),(60,1),(106,1),(110,1),(122,1)}
        77:{1,3,5}:{(51,1),(52,1),(107,1),(110,1)}
        78:{2,3,5,6}:{(52,1),(53,1),(62,1),(108,1),(111,1),(112,1),(116,1),(278,1),(280,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(63,1),(109,1),(112,1),(297,1),(338,1),(347,1)}
        80:{1,2,3,6}:{(56,1),(115,1),(122,1),(206,1),(343,1)}
        81:{1,3,5,6}:{(55,1),(58,1),(64,1),(98,1),(116,1),(117,1)}
        82:{1,4,5,7}:{(55,1),(59,1),(65,1),(99,1),(117,1),(205,1)}
        83:{1,2,4,7}:{(56,1),(106,1),(115,1),(118,1),(184,1)}
        84:{1,4,5,7}:{(57,1),(61,1),(107,1),(120,1),(198,1),(205,1)}
        85:{2,4,6}:{(57,1),(58,1),(62,1),(116,1),(120,1)}
        86:{1,3,4,6,7}:{(58,1),(59,1),(63,1),(68,1),(102,1),(109,1),(117,1),(121,1)}
        87:{1,2,5,7}:{(60,1),(61,1),(110,1),(122,1)}
        88:{1,3,6}:{(61,1),(62,1),(120,1),(122,1)}
        89:{2,3,6,7}:{(62,1),(63,1),(112,1),(121,1),(123,1),(350,1)}
        90:{3,4,5,6}:{(64,1),(124,1),(125,1),(337,1),(378,1)}
        91:{2,4,5,6,7}:{(65,1),(114,1),(126,1),(202,1),(208,1),(336,1),(380,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(116,1),(124,1),(128,1),(129,1),(378,1),(384,1)}
        93:{3,5,7}:{(64,1),(65,1),(68,1)}
        94:{2,3,4,7}:{(118,1),(127,1),(130,1),(186,1),(300,1)}
        95:{2,4,5,7}:{(66,1),(130,1),(131,1),(187,1),(213,1),(215,1),(281,1),(300,1)}
        96:{1,3,4,6}:{(66,1),(67,1),(120,1),(128,1),(131,1),(206,1),(292,1),(296,1),(381,1)}
        97:{2,3,4,6,7}:{(67,1),(68,1),(121,1),(129,1),(132,1),(189,1),(208,1),(269,1),(276,1),(341,1),(379,1),(385,1)}
        98:{3,5,6}:{(69,1),(71,1),(136,1)}
        99:{2,4,5,7}:{(69,1),(72,1),(82,1),(136,1),(159,1)}
       100:{1,3,4,5,7}:{(70,1),(84,1),(138,1),(139,1),(142,1),(160,1),(224,1),(236,1),(248,1),(302,1),(329,1),(363,1),(366,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(85,1),(135,1),(139,1),(172,1),(259,1),(330,1),(371,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(136,1),(331,1),(332,1)}
       103:{2,3,4,5}:{(74,1),(142,1),(143,1),(234,1),(253,1),(302,1),(318,1)}
       104:{1,2,3,5,6}:{(73,1),(80,1),(144,1),(145,1),(152,1),(157,1),(240,1),(243,1),(246,1),(249,1),(319,1),(323,1)}
       105:{1,3,4,5,6}:{(75,1),(81,1),(90,1),(133,1),(146,1),(147,1),(165,1),(218,1),(232,1),(254,1),(303,1),(325,1),(374,1)}
       106:{1,2,4}:{(73,1),(148,1)}
       107:{1,4,5}:{(74,1),(77,1),(150,1)}
       108:{2,4,6}:{(74,1),(75,1),(78,1),(150,1),(151,1)}
       109:{1,3,4,7}:{(75,1),(79,1),(151,1),(329,1),(332,1),(363,1)}
       110:{1,2,5}:{(76,1),(77,1)}
       111:{1,3,5,6}:{(77,1),(78,1),(88,1),(150,1),(152,1),(153,1),(158,1),(243,1)}
       112:{2,3,5,7}:{(78,1),(79,1),(89,1),(151,1),(153,1),(159,1),(320,1),(321,1)}
       113:{1,2,3,6,7}:{(80,1),(144,1),(154,1),(163,1),(227,1),(251,1),(323,1),(372,1)}
       114:{1,4,5,6,7}:{(82,1),(91,1),(134,1),(155,1),(247,1),(252,1),(301,1),(376,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(156,1),(157,1)}
       116:{2,5,6}:{(81,1),(85,1),(158,1),(159,1)}
       117:{1,3,5,7}:{(81,1),(82,1),(86,1),(93,1),(136,1),(159,1)}
       118:{1,3,4,7}:{(83,1),(94,1),(137,1),(148,1),(156,1),(160,1),(229,1),(329,1)}
       119:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(95,1),(138,1),(149,1),(157,1),(160,1),(161,1),(230,1),(244,1),(248,1),(250,1),(311,1),(315,1),(329,1),(366,1)}
       120:{1,4,6}:{(84,1),(85,1),(88,1),(158,1)}
       121:{2,4,6,7}:{(85,1),(86,1),(89,1),(151,1),(159,1),(162,1)}
       122:{1,2,6}:{(87,1),(88,1)}
       123:{1,3,6,7}:{(88,1),(89,1),(153,1),(162,1),(163,1)}
       124:{2,4,5,6}:{(90,1),(92,1),(165,1),(166,1),(308,1)}
       125:{3,4,5,7}:{(90,1),(93,1),(164,1),(166,1),(363,1),(387,1)}
       126:{3,5,6,7}:{(91,1),(93,1),(164,1),(362,1),(387,1)}
       127:{2,3,4,6}:{(94,1),(156,1),(169,1),(172,1),(259,1)}
       128:{1,3,5,6}:{(92,1),(96,1),(158,1),(165,1),(170,1),(171,1),(254,1),(388,1)}
       129:{2,3,5,7}:{(92,1),(93,1),(97,1),(159,1),(166,1),(171,1),(387,1),(390,1)}
       130:{2,3,5,7}:{(94,1),(95,1),(160,1),(169,1),(172,1),(234,1),(321,1)}
       131:{2,4,6}:{(95,1),(96,1),(170,1),(172,1)}
       132:{1,3,4,6,7}:{(96,1),(97,1),(162,1),(171,1),(173,1),(236,1),(251,1),(252,1),(317,1),(329,1),(331,1),(332,1),(389,1)}
       133:{3,4,5,6}:{(98,1),(174,1),(175,1),(296,1),(358,1)}
       134:{2,4,5,6,7}:{(99,1),(114,1),(176,1),(202,1),(261,1),(295,1),(360,1)}
       135:{2,3,5,6}:{(98,1),(101,1),(116,1),(174,1),(178,1),(179,1),(358,1),(384,1)}
       136:{3,5,7}:{(98,1),(99,1),(102,1)}
       137:{2,3,4,7}:{(118,1),(177,1),(180,1),(186,1),(341,1)}
       138:{2,4,5,7}:{(100,1),(180,1),(181,1),(187,1),(266,1),(268,1),(281,1),(341,1)}
       139:{1,3,4,6}:{(100,1),(101,1),(120,1),(178,1),(181,1),(206,1),(292,1),(337,1),(381,1)}
       140:{2,3,4,6,7}:{(101,1),(102,1),(121,1),(179,1),(182,1),(189,1),(216,1),(261,1),(276,1),(300,1),(359,1),(385,1)}
       141:{1,2,3,5}:{(183,1),(184,1),(272,1),(273,1)}
       142:{1,3,4,5}:{(103,1),(107,1),(187,1),(188,1),(196,1),(273,1),(344,1)}
       143:{2,3,4,6}:{(103,1),(108,1),(185,1),(188,1),(189,1),(280,1),(296,1),(337,1),(351,1)}
       144:{1,2,3,5,7}:{(104,1),(113,1),(190,1),(199,1),(201,1),(282,1),(288,1),(293,1),(352,1)}
       145:{1,2,4,6}:{(104,1),(106,1),(190,1),(192,1),(193,1),(292,1),(351,1)}
       146:{2,4,5,6}:{(105,1),(108,1),(116,1),(185,1),(194,1),(195,1),(278,1),(351,1),(384,1)}
       147:{1,3,4,5,7}:{(105,1),(109,1),(117,1),(125,1),(175,1),(191,1),(195,1),(210,1),(263,1),(279,1),(297,1),(338,1),(355,1),(386,1)}
       148:{1,3,4}:{(106,1),(186,1),(196,1)}
       149:{1,2,4,5}:{(106,1),(107,1),(110,1),(187,1),(196,1),(197,1)}
       150:{1,4,6}:{(107,1),(108,1),(111,1),(198,1)}
       151:{2,4,7}:{(108,1),(109,1),(112,1),(198,1)}
       152:{1,2,5,6}:{(110,1),(111,1),(122,1),(197,1),(199,1),(278,1)}
       153:{1,3,5,7}:{(111,1),(112,1),(123,1),(198,1),(199,1),(205,1),(288,1)}
       154:{1,2,4,6,7}:{(113,1),(115,1),(190,1),(200,1),(201,1),(270,1),(283,1),(343,1),(385,1)}
       155:{1,3,5,6,7}:{(114,1),(117,1),(126,1),(176,1),(191,1),(202,1),(386,1)}
       156:{1,3,4,6}:{(115,1),(118,1),(127,1),(177,1),(203,1),(206,1),(292,1)}
       157:{1,2,5}:{(115,1),(203,1)}
       158:{1,5,6}:{(116,1),(120,1),(205,1)}
       159:{2,5,7}:{(116,1),(117,1),(121,1),(205,1)}
       160:{1,3,5,7}:{(118,1),(119,1),(130,1),(180,1),(196,1),(203,1),(206,1),(273,1),(288,1),(347,1)}
       161:{1,2,4,6}:{(119,1),(120,1),(122,1),(131,1),(181,1),(204,1),(206,1),(292,1),(343,1),(381,1)}
       162:{1,4,6,7}:{(120,1),(121,1),(123,1),(198,1),(205,1)}
       163:{1,2,6,7}:{(122,1),(123,1),(199,1),(350,1)}
       164:{3,4,6,7}:{(125,1),(126,1),(208,1)}
       165:{1,4,5,6}:{(124,1),(128,1),(209,1),(210,1),(292,1)}
       166:{2,4,5,7}:{(124,1),(125,1),(129,1),(208,1),(210,1),(341,1)}
       167:{2,3,4,6,7}:{(127,1),(200,1),(211,1),(216,1),(275,1),(298,1),(300,1),(349,1),(359,1),(385,1)}
       168:{2,3,5,6,7}:{(126,1),(129,1),(202,1),(208,1),(212,1),(276,1)}
       169:{2,3,5}:{(127,1),(203,1),(213,1)}
       170:{2,5,6}:{(128,1),(131,1),(215,1)}
       171:{1,3,5,7}:{(128,1),(129,1),(132,1),(205,1),(210,1),(215,1),(297,1),(391,1)}
       172:{2,3,6}:{(130,1),(131,1),(206,1)}
       173:{2,4,6,7}:{(131,1),(132,1),(215,1),(216,1),(281,1),(300,1),(350,1)}
       174:{2,4,5,6}:{(133,1),(135,1),(218,1),(219,1),(259,1)}
       175:{3,4,5,7}:{(133,1),(136,1),(217,1),(219,1),(332,1),(377,1)}
       176:{3,5,6,7}:{(134,1),(136,1),(217,1),(331,1),(377,1)}
       177:{2,3,4,6}:{(137,1),(156,1),(222,1),(225,1),(308,1)}
       178:{1,3,5,6}:{(135,1),(139,1),(158,1),(218,1),(223,1),(224,1),(303,1),(388,1)}
       179:{2,3,5,7}:{(135,1),(136,1),(140,1),(159,1),(219,1),(224,1),(377,1),(390,1)}
       180:{2,3,5,7}:{(137,1),(138,1),(160,1),(222,1),(225,1),(234,1),(321,1)}
       181:{2,4,6}:{(138,1),(139,1),(223,1),(225,1)}
       182:{1,3,4,6,7}:{(139,1),(140,1),(162,1),(224,1),(226,1),(236,1),(251,1),(301,1),(317,1),(329,1),(362,1),(363,1),(389,1)}
       183:{1,2,3,6}:{(141,1),(227,1),(228,1),(314,1)}
       184:{1,2,4}:{(141,1),(229,1)}
       185:{2,3,5,6}:{(143,1),(146,1),(232,1),(233,1),(254,1),(303,1)}
       186:{2,3,4}:{(148,1),(229,1),(234,1)}
       187:{2,4,5}:{(142,1),(234,1),(235,1)}
       188:{1,3,4,6}:{(142,1),(143,1),(150,1),(232,1),(235,1),(236,1),(243,1),(314,1),(369,1)}
       189:{2,3,4,7}:{(143,1),(151,1),(233,1),(236,1),(321,1),(332,1),(363,1),(373,1)}
       190:{1,2,4,7}:{(144,1),(145,1),(237,1),(329,1),(373,1)}
       191:{1,3,4,6,7}:{(147,1),(155,1),(164,1),(217,1),(239,1),(252,1),(301,1),(317,1),(331,1),(362,1)}
       192:{1,3,4,6}:{(145,1),(148,1),(231,1),(237,1),(240,1),(243,1),(323,1)}
       193:{1,2,4,5}:{(145,1),(157,1),(240,1),(248,1),(318,1)}
       194:{1,4,5,6}:{(146,1),(150,1),(158,1),(232,1),(242,1),(369,1),(388,1)}
       195:{2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(233,1),(239,1),(242,1),(320,1),(373,1),(390,1)}
       196:{1,3,5}:{(148,1),(149,1),(234,1),(243,1)}
       197:{1,2,4,6}:{(149,1),(150,1),(152,1),(235,1),(243,1),(244,1)}
       198:{1,4,7}:{(150,1),(151,1),(153,1)}
       199:{1,2,5,7}:{(152,1),(153,1),(163,1),(244,1),(320,1)}
       200:{1,3,4,6,7}:{(154,1),(156,1),(167,1),(220,1),(237,1),(245,1),(251,1),(310,1),(323,1),(327,1),(329,1),(367,1),(389,1)}
       201:{1,2,5,7}:{(154,1),(157,1),(245,1),(246,1),(390,1)}
       202:{2,5,6,7}:{(155,1),(159,1),(239,1),(247,1),(390,1)}
       203:{1,3,5}:{(156,1),(157,1),(169,1),(222,1),(248,1)}
       204:{1,2,5,6}:{(157,1),(158,1),(161,1),(170,1),(223,1),(249,1),(250,1),(388,1)}
       205:{1,5,7}:{(158,1),(159,1),(162,1)}
       206:{1,3,6}:{(160,1),(161,1),(172,1),(225,1)}
       207:{1,2,4,6,7}:{(161,1),(162,1),(163,1),(173,1),(226,1),(244,1),(250,1),(251,1),(315,1),(329,1),(368,1),(389,1)}
       208:{2,4,6,7}:{(164,1),(166,1),(168,1),(252,1)}
       209:{2,4,5,6}:{(165,1),(170,1),(254,1),(255,1),(259,1)}
       210:{1,4,5,7}:{(165,1),(166,1),(171,1),(252,1),(255,1),(329,1)}
       211:{2,3,5,7}:{(167,1),(169,1),(245,1),(256,1),(257,1),(377,1),(390,1)}
       212:{1,3,5,6,7}:{(168,1),(171,1),(247,1),(252,1),(258,1),(317,1),(331,1)}
       213:{2,4,5}:{(169,1),(248,1),(253,1),(259,1)}
       214:{2,3,5,6}:{(169,1),(170,1),(172,1),(249,1),(254,1),(259,1),(260,1)}
       215:{2,5,7}:{(170,1),(171,1),(173,1)}
       216:{2,3,6,7}:{(172,1),(173,1),(251,1),(260,1),(321,1),(331,1)}
       217:{3,4,6,7}:{(175,1),(176,1),(261,1)}
       218:{1,4,5,6}:{(174,1),(178,1),(262,1),(263,1),(292,1)}
       219:{2,4,5,7}:{(174,1),(175,1),(179,1),(261,1),(263,1),(300,1)}
       220:{2,3,4,6,7}:{(177,1),(200,1),(264,1),(269,1),(275,1),(339,1),(341,1),(349,1),(379,1),(385,1)}
       221:{2,3,5,6,7}:{(176,1),(179,1),(202,1),(261,1),(265,1),(276,1)}
       222:{2,3,5}:{(177,1),(203,1),(266,1)}
       223:{2,5,6}:{(178,1),(181,1),(268,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(182,1),(205,1),(263,1),(268,1),(338,1),(391,1)}
       225:{2,3,6}:{(180,1),(181,1),(206,1)}
       226:{2,4,6,7}:{(181,1),(182,1),(268,1),(269,1),(281,1),(341,1),(350,1)}
       227:{1,2,3,7}:{(183,1),(270,1),(347,1)}
       228:{1,2,4,6}:{(183,1),(184,1),(270,1),(271,1),(272,1),(343,1)}
       229:{1,3,4}:{(184,1),(186,1),(273,1)}
       230:{1,2,4,5}:{(184,1),(187,1),(272,1),(273,1),(274,1),(344,1)}
       231:{2,3,4,6}:{(186,1),(192,1),(271,1),(275,1),(277,1),(280,1),(349,1),(351,1)}
       232:{1,3,5,6}:{(185,1),(188,1),(194,1),(278,1),(279,1)}
       233:{2,3,5,7}:{(185,1),(189,1),(195,1),(276,1),(279,1),(297,1),(338,1)}
       234:{2,3,5}:{(186,1),(187,1),(196,1),(273,1),(280,1)}
       235:{2,4,6}:{(187,1),(188,1),(278,1),(280,1),(281,1)}
       236:{1,3,4,7}:{(188,1),(189,1),(198,1),(279,1),(281,1),(288,1),(347,1),(383,1)}
       237:{1,3,4,7}:{(190,1),(192,1),(275,1),(282,1),(288,1)}
       238:{1,2,4,5,7}:{(190,1),(193,1),(201,1),(282,1),(283,1),(289,1),(348,1)}
       239:{2,4,6,7}:{(191,1),(195,1),(202,1),(276,1),(284,1),(350,1)}
       240:{1,3,5}:{(192,1),(193,1),(277,1)}
       241:{1,2,4,5,6}:{(193,1),(194,1),(197,1),(204,1),(209,1),(262,1),(278,1),(283,1),(286,1),(287,1),(292,1),(351,1),(356,1),(384,1)}
       242:{1,4,5,7}:{(194,1),(195,1),(198,1),(205,1),(279,1),(284,1),(383,1),(391,1)}
       243:{1,3,6}:{(196,1),(197,1),(280,1),(288,1)}
       244:{1,2,4,7}:{(197,1),(198,1),(199,1),(281,1),(288,1)}
       245:{1,3,5,7}:{(200,1),(201,1),(203,1),(211,1),(264,1),(289,1),(290,1),(391,1)}
       246:{1,2,5,6}:{(201,1),(283,1),(290,1),(343,1),(384,1)}
       247:{1,5,6,7}:{(202,1),(205,1),(284,1),(391,1)}
       248:{1,4,5}:{(203,1),(213,1),(266,1),(292,1)}
       249:{1,3,5,6}:{(203,1),(204,1),(206,1),(214,1),(267,1),(292,1),(293,1)}
       250:{1,2,5,7}:{(204,1),(205,1),(207,1),(215,1),(268,1),(293,1),(391,1)}
       251:{1,3,6,7}:{(206,1),(207,1),(216,1),(269,1),(288,1),(293,1),(347,1)}
       252:{1,4,6,7}:{(208,1),(210,1),(212,1),(295,1)}
       253:{3,4,5}:{(213,1),(296,1)}
       254:{3,5,6}:{(209,1),(296,1),(297,1)}
       255:{2,4,5,7}:{(209,1),(210,1),(215,1),(295,1),(297,1),(300,1)}
       256:{2,4,5,7}:{(211,1),(213,1),(289,1),(294,1),(298,1),(300,1)}
       257:{2,3,5,6}:{(211,1),(290,1),(298,1),(349,1),(358,1),(384,1)}
       258:{2,5,6,7}:{(212,1),(215,1),(295,1),(350,1)}
       259:{2,4,6}:{(213,1),(214,1),(292,1),(296,1),(300,1)}
       260:{2,3,5,7}:{(214,1),(215,1),(216,1),(293,1),(297,1),(300,1)}
       261:{2,4,6,7}:{(217,1),(219,1),(221,1),(301,1)}
       262:{2,4,5,6}:{(218,1),(223,1),(303,1),(304,1),(308,1)}
       263:{1,4,5,7}:{(218,1),(219,1),(224,1),(301,1),(304,1),(329,1)}
       264:{2,3,5,7}:{(220,1),(222,1),(245,1),(305,1),(306,1),(387,1),(390,1)}
       265:{1,3,5,6,7}:{(221,1),(224,1),(247,1),(301,1),(307,1),(317,1),(362,1)}
       266:{2,4,5}:{(222,1),(248,1),(302,1),(308,1)}
       267:{2,3,5,6}:{(222,1),(223,1),(225,1),(249,1),(303,1),(308,1),(309,1)}
       268:{2,5,7}:{(223,1),(224,1),(226,1)}
       269:{2,3,6,7}:{(225,1),(226,1),(251,1),(309,1),(321,1),(362,1)}
       270:{1,2,4,7}:{(227,1),(228,1),(310,1),(311,1)}
       271:{1,3,4,6}:{(228,1),(229,1),(231,1),(310,1),(312,1),(314,1),(367,1),(369,1)}
       272:{1,2,5}:{(228,1),(312,1)}
       273:{1,3,5}:{(229,1),(230,1),(234,1),(314,1)}
       274:{1,2,4,6}:{(230,1),(235,1),(313,1),(314,1),(315,1),(369,1)}
       275:{2,3,4,7}:{(231,1),(237,1),(310,1),(316,1),(321,1),(373,1)}
       276:{2,3,6,7}:{(233,1),(239,1),(317,1),(331,1),(362,1)}
       277:{2,3,5}:{(231,1),(240,1),(312,1),(318,1)}
       278:{2,5,6}:{(232,1),(235,1),(320,1)}
       279:{1,3,5,7}:{(232,1),(233,1),(236,1),(242,1),(317,1),(320,1)}
       280:{2,3,6}:{(234,1),(235,1),(243,1),(314,1),(321,1)}
       281:{2,4,7}:{(235,1),(236,1),(320,1),(321,1)}
       282:{1,3,5,7}:{(237,1),(238,1),(240,1),(316,1),(323,1)}
       283:{1,2,4,6}:{(238,1),(246,1),(323,1),(327,1),(371,1)}
       284:{1,4,6,7}:{(239,1),(242,1),(247,1),(317,1)}
       285:{1,3,4,5}:{(240,1),(248,1),(253,1),(302,1),(318,1),(325,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(243,1),(254,1),(303,1),(319,1),(323,1),(325,1),(326,1)}
       287:{1,2,4,5,7}:{(241,1),(242,1),(244,1),(250,1),(255,1),(304,1),(320,1),(324,1),(326,1),(329,1),(373,1),(376,1),(390,1)}
       288:{1,3,7}:{(243,1),(244,1),(321,1)}
       289:{1,4,5,7}:{(245,1),(248,1),(256,1),(305,1),(327,1),(329,1)}
       290:{1,3,5,6}:{(245,1),(246,1),(257,1),(306,1),(323,1),(327,1),(367,1),(388,1)}
       291:{1,2,5,6,7}:{(246,1),(247,1),(250,1),(258,1),(307,1),(324,1),(328,1),(368,1),(390,1)}
       292:{1,4,6}:{(248,1),(249,1),(259,1),(308,1),(329,1)}
       293:{1,3,5,7}:{(249,1),(250,1),(251,1),(260,1),(309,1),(329,1)}
       294:{3,4,5,7}:{(253,1),(256,1),(330,1),(332,1),(377,1)}
       295:{2,4,6,7}:{(252,1),(255,1),(258,1),(331,1)}
       296:{3,4,6}:{(253,1),(254,1),(259,1),(332,1)}
       297:{3,5,7}:{(254,1),(255,1),(331,1),(332,1)}
       298:{2,4,6}:{(256,1),(257,1),(327,1),(330,1)}
       299:{2,3,5,6,7}:{(257,1),(258,1),(260,1),(328,1),(331,1),(334,1),(372,1),(377,1),(390,1)}
       300:{2,4,7}:{(259,1),(260,1),(329,1),(332,1)}
       301:{1,4,6,7}:{(261,1),(263,1),(265,1),(336,1)}
       302:{3,4,5}:{(266,1),(337,1)}
       303:{3,5,6}:{(262,1),(337,1),(338,1)}
       304:{2,4,5,7}:{(262,1),(263,1),(268,1),(336,1),(338,1),(341,1)}
       305:{2,4,5,7}:{(264,1),(266,1),(289,1),(335,1),(339,1),(341,1)}
       306:{2,3,5,6}:{(264,1),(290,1),(339,1),(349,1),(378,1),(384,1)}
       307:{2,5,6,7}:{(265,1),(268,1),(336,1),(350,1)}
       308:{2,4,6}:{(266,1),(267,1),(292,1),(337,1),(341,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(269,1),(293,1),(338,1),(341,1)}
       310:{1,3,4,7}:{(270,1),(271,1),(275,1),(342,1),(347,1),(383,1)}
       311:{1,2,5,7}:{(270,1),(272,1),(342,1),(343,1)}
       312:{1,3,5}:{(271,1),(272,1),(277,1),(344,1)}
       313:{1,2,5,6}:{(272,1),(274,1),(278,1),(343,1),(345,1),(346,1)}
       314:{1,3,6}:{(273,1),(274,1),(280,1),(347,1)}
       315:{1,2,4,7}:{(274,1),(281,1),(346,1),(347,1),(383,1)}
       316:{2,3,5,7}:{(275,1),(277,1),(282,1),(342,1),(348,1),(349,1)}
       317:{1,3,6,7}:{(276,1),(279,1),(284,1),(350,1)}
       318:{2,4,5}:{(277,1),(285,1),(344,1),(351,1)}
       319:{2,3,5,6}:{(277,1),(278,1),(280,1),(286,1),(345,1),(349,1),(351,1),(352,1),(384,1)}
       320:{2,5,7}:{(278,1),(279,1),(281,1),(350,1)}
       321:{2,3,7}:{(280,1),(281,1),(288,1),(347,1)}
       322:{1,3,4,5,7}:{(282,1),(285,1),(289,1),(294,1),(335,1),(348,1),(353,1),(355,1),(386,1)}
       323:{1,3,6}:{(282,1),(283,1),(349,1)}
       324:{1,2,4,6,7}:{(283,1),(284,1),(287,1),(291,1),(295,1),(336,1),(350,1),(354,1),(357,1),(385,1)}
       325:{1,3,4,6}:{(285,1),(286,1),(292,1),(296,1),(337,1),(351,1),(355,1)}
       326:{1,3,5,7}:{(286,1),(287,1),(288,1),(297,1),(338,1),(352,1),(354,1),(355,1)}
       327:{1,4,6}:{(289,1),(290,1),(298,1),(339,1)}
       328:{1,3,5,6,7}:{(290,1),(291,1),(293,1),(299,1),(340,1),(354,1),(357,1),(382,1),(386,1),(391,1)}
       329:{1,4,7}:{(292,1),(293,1),(300,1),(341,1)}
       330:{3,4,6}:{(294,1),(298,1),(358,1)}
       331:{3,6,7}:{(295,1),(297,1)}
       332:{3,4,7}:{(296,1),(297,1),(300,1)}
       333:{2,4,5,6}:{(298,1),(356,1),(358,1),(360,1),(384,1)}
       334:{2,4,6,7}:{(298,1),(299,1),(300,1),(357,1),(359,1),(360,1)}
       335:{3,4,5,7}:{(302,1),(305,1),(361,1),(363,1),(387,1)}
       336:{2,4,6,7}:{(301,1),(304,1),(307,1),(362,1)}
       337:{3,4,6}:{(302,1),(303,1),(308,1),(363,1)}
       338:{3,5,7}:{(303,1),(304,1),(362,1),(363,1)}
       339:{2,4,6}:{(305,1),(306,1),(327,1),(361,1)}
       340:{2,3,5,6,7}:{(306,1),(307,1),(309,1),(328,1),(362,1),(365,1),(372,1),(387,1),(390,1)}
       341:{2,4,7}:{(308,1),(309,1),(329,1),(363,1)}
       342:{1,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(366,1),(367,1)}
       343:{1,2,6}:{(311,1),(367,1)}
       344:{1,4,5}:{(312,1),(318,1),(369,1)}
       345:{1,3,5,6}:{(312,1),(313,1),(314,1),(319,1),(367,1),(369,1),(370,1),(388,1)}
       346:{1,2,5,7}:{(313,1),(315,1),(320,1),(368,1),(370,1)}
       347:{1,3,7}:{(314,1),(315,1),(321,1)}
       348:{2,4,5,7}:{(316,1),(318,1),(322,1),(366,1),(371,1),(373,1),(390,1)}
       349:{2,3,6}:{(316,1),(323,1),(367,1),(371,1)}
       350:{2,6,7}:{(317,1),(320,1)}
       351:{2,4,6}:{(318,1),(319,1),(325,1),(369,1),(373,1)}
       352:{2,3,5,7}:{(319,1),(320,1),(321,1),(326,1),(370,1),(372,1),(373,1),(390,1)}
       353:{1,3,4,6}:{(322,1),(323,1),(327,1),(330,1),(361,1),(371,1),(374,1)}
       354:{1,3,6,7}:{(323,1),(324,1),(326,1),(331,1),(362,1),(372,1)}
       355:{1,3,4,7}:{(325,1),(326,1),(329,1),(332,1),(363,1),(373,1)}
       356:{1,4,5,6}:{(327,1),(333,1),(364,1),(374,1),(376,1),(388,1)}
       357:{1,4,6,7}:{(327,1),(328,1),(329,1),(334,1),(365,1),(376,1)}
       358:{3,5,6}:{(330,1),(333,1),(377,1)}
       359:{3,4,6,7}:{(330,1),(331,1),(332,1),(334,1),(377,1)}
       360:{2,4,5,7}:{(333,1),(334,1),(376,1),(377,1),(390,1)}
       361:{3,4,6}:{(335,1),(339,1),(378,1)}
       362:{3,6,7}:{(336,1),(338,1)}
       363:{3,4,7}:{(337,1),(338,1),(341,1)}
       364:{2,4,5,6}:{(339,1),(356,1),(378,1),(380,1),(384,1)}
       365:{2,4,6,7}:{(339,1),(340,1),(341,1),(357,1),(379,1),(380,1)}
       366:{1,4,5,7}:{(342,1),(344,1),(348,1),(381,1),(383,1),(391,1)}
       367:{1,3,6}:{(342,1),(343,1),(349,1),(381,1)}
       368:{1,2,6,7}:{(343,1),(346,1),(350,1),(382,1)}
       369:{1,4,6}:{(344,1),(345,1),(351,1),(383,1)}
       370:{1,3,5,7}:{(345,1),(346,1),(347,1),(352,1),(382,1),(383,1),(391,1)}
       371:{2,4,6}:{(348,1),(349,1),(353,1),(381,1),(384,1)}
       372:{2,3,6,7}:{(349,1),(350,1),(352,1),(354,1),(382,1),(385,1)}
       373:{2,4,7}:{(351,1),(352,1),(355,1),(383,1)}
       374:{1,3,5,6}:{(353,1),(356,1),(358,1),(378,1),(384,1),(386,1)}
       375:{1,3,4,6,7}:{(353,1),(354,1),(355,1),(357,1),(359,1),(379,1),(385,1),(386,1)}
       376:{1,4,5,7}:{(356,1),(357,1),(360,1),(380,1),(386,1),(391,1)}
       377:{3,5,7}:{(358,1),(359,1),(360,1)}
       378:{3,5,6}:{(361,1),(364,1),(387,1)}
       379:{3,4,6,7}:{(361,1),(362,1),(363,1),(365,1),(387,1)}
       380:{2,4,5,7}:{(364,1),(365,1),(376,1),(387,1),(390,1)}
       381:{1,4,6}:{(366,1),(367,1),(371,1),(388,1)}
       382:{1,3,6,7}:{(367,1),(368,1),(370,1),(372,1),(389,1)}
       383:{1,4,7}:{(369,1),(370,1),(373,1)}
       384:{2,5,6}:{(371,1),(374,1),(388,1),(390,1)}
       385:{2,4,6,7}:{(371,1),(372,1),(373,1),(375,1),(389,1),(390,1)}
       386:{1,3,5,7}:{(374,1),(375,1),(376,1),(377,1),(387,1),(390,1)}
       387:{3,5,7}:{(378,1),(379,1),(380,1)}
       388:{1,5,6}:{(381,1),(384,1),(391,1)}
       389:{1,4,6,7}:{(381,1),(382,1),(383,1),(385,1),(391,1)}
       390:{2,5,7}:{(384,1),(385,1),(386,1),(391,1)}
       391:{1,5,7}:{(388,1),(389,1),(390,1)}

2258 :   0:{2,3,4,6,7}:{(1,1),(2,1),(16,1),(24,1),(46,1),(68,1),(101,1),(116,1),(118,1),(155,1),(165,1),(216,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(31,1),(35,1),(82,1),(87,1),(89,1),(95,1),(137,1),(146,1),(147,1),(190,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(41,1),(93,1),(181,1),(189,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(41,1),(93,1),(94,1)}
         4:{2,3,4,6,7}:{(11,1),(12,1),(17,1),(45,1),(53,1),(62,1),(107,1),(115,1),(156,1),(158,1),(165,1),(233,1)}
         5:{2,3,5,6}:{(2,1),(15,1),(16,1),(58,1),(113,1),(116,1)}
         6:{2,4,6,7}:{(1,1),(17,1),(18,1),(60,1),(62,1),(165,1),(174,1),(175,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(15,1),(18,1),(19,1),(63,1),(122,1),(164,1),(209,1)}
         8:{2,4,5,7}:{(2,1),(16,1),(19,1),(20,1),(101,1),(154,1)}
         9:{1,3,5,6,7}:{(3,1),(15,1),(22,1),(23,1),(66,1),(67,1),(122,1),(123,1)}
        10:{2,4,6,7}:{(3,1),(16,1),(21,1),(23,1),(24,1)}
        11:{1,3,4,6,7}:{(4,1),(26,1),(27,1),(31,1),(71,1),(82,1),(127,1),(129,1),(135,1),(137,1),(183,1),(184,1),(190,1)}
        12:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(77,1),(133,1),(144,1),(189,1)}
        13:{2,3,5,6,7}:{(25,1),(29,1),(30,1),(77,1),(133,1),(134,1)}
        14:{1,2,4,6,7}:{(6,1),(26,1),(31,1),(32,1),(81,1),(82,1),(95,1),(135,1),(151,1),(188,1),(190,1),(191,1),(192,1),(199,1),(223,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(34,1),(35,1),(87,1),(143,1),(146,1)}
        16:{2,4,6}:{(5,1),(8,1),(35,1),(36,1)}
        17:{2,3,6,7}:{(6,1),(31,1),(37,1),(87,1),(138,1),(188,1),(198,1)}
        18:{2,5,7}:{(6,1),(7,1),(34,1),(189,1)}
        19:{1,4,5,7}:{(7,1),(8,1),(35,1),(38,1),(82,1),(136,1)}
        20:{3,4,5,7}:{(8,1),(36,1),(41,1),(129,1),(181,1)}
        21:{2,4,5,7}:{(10,1),(33,1),(40,1),(41,1),(93,1),(199,1)}
        22:{2,5,6,7}:{(9,1),(34,1),(42,1),(93,1),(151,1)}
        23:{1,4,6,7}:{(9,1),(10,1),(35,1),(40,1),(42,1)}
        24:{3,4,6,7}:{(10,1),(36,1),(41,1)}
        25:{2,3,5,6}:{(12,1),(44,1),(45,1),(97,1),(153,1),(156,1)}
        26:{2,4,6,7}:{(11,1),(46,1),(47,1),(99,1),(101,1),(165,1),(205,1),(206,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(44,1),(47,1),(48,1),(102,1),(162,1),(164,1),(209,1)}
        28:{2,4,5,7}:{(12,1),(45,1),(48,1),(49,1),(62,1),(114,1)}
        29:{1,3,5,6,7}:{(13,1),(44,1),(51,1),(52,1),(105,1),(106,1),(162,1),(163,1)}
        30:{2,4,6,7}:{(13,1),(45,1),(50,1),(52,1),(53,1)}
        31:{1,3,6,7}:{(14,1),(17,1),(46,1),(55,1),(109,1),(166,1),(211,1),(216,1),(233,1)}
        32:{1,2,5,7}:{(14,1),(18,1),(47,1),(54,1),(55,1),(122,1),(162,1),(177,1),(208,1),(209,1)}
        33:{2,4,5,6}:{(16,1),(21,1),(57,1),(58,1),(113,1),(154,1),(213,1)}
        34:{2,5,6}:{(15,1),(18,1),(60,1),(174,1)}
        35:{1,4,6}:{(15,1),(16,1),(19,1),(60,1)}
        36:{3,4,6}:{(16,1),(20,1),(58,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(55,1),(59,1),(62,1),(63,1),(208,1),(233,1)}
        38:{2,4,5,7}:{(18,1),(19,1),(60,1),(62,1),(63,1),(114,1)}
        39:{1,3,4,5,7}:{(19,1),(20,1),(61,1),(63,1),(64,1),(66,1),(110,1),(119,1),(120,1),(164,1),(169,1),(176,1),(212,1),(216,1),(235,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(57,1),(65,1),(66,1),(122,1),(176,1)}
        41:{3,5,7}:{(21,1),(24,1),(58,1),(216,1)}
        42:{2,4,6,7}:{(22,1),(23,1),(60,1),(65,1),(67,1)}
        43:{1,3,4,6,7}:{(23,1),(24,1),(61,1),(66,1),(67,1),(68,1),(120,1),(123,1),(176,1),(216,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(70,1),(71,1),(127,1),(180,1),(183,1)}
        45:{2,4,6}:{(25,1),(28,1),(71,1),(72,1)}
        46:{2,3,6,7}:{(26,1),(31,1),(73,1),(127,1),(138,1),(151,1),(222,1)}
        47:{2,5,7}:{(26,1),(27,1),(70,1),(189,1)}
        48:{1,4,5,7}:{(27,1),(28,1),(71,1),(74,1),(82,1),(136,1)}
        49:{3,4,5,7}:{(28,1),(72,1),(77,1),(89,1),(144,1)}
        50:{2,4,5,7}:{(30,1),(69,1),(76,1),(77,1),(133,1),(223,1)}
        51:{2,5,6,7}:{(29,1),(70,1),(78,1),(133,1),(188,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(71,1),(76,1),(78,1)}
        53:{3,4,6,7}:{(30,1),(72,1),(77,1)}
        54:{1,2,5,6}:{(32,1),(34,1),(70,1),(80,1),(81,1),(143,1),(180,1),(189,1),(191,1),(195,1),(219,1),(224,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(37,1),(73,1),(80,1),(82,1)}
        56:{1,2,4,5,7}:{(32,1),(38,1),(74,1),(81,1),(82,1),(83,1),(91,1),(131,1),(136,1),(139,1),(148,1),(185,1),(189,1),(192,1),(199,1),(223,1),(224,1),(226,1),(237,1),(240,1)}
        57:{1,4,5,6}:{(33,1),(35,1),(40,1),(84,1),(85,1),(136,1),(143,1),(194,1)}
        58:{3,5,6}:{(33,1),(36,1),(41,1),(181,1),(227,1)}
        59:{2,3,5,6}:{(34,1),(37,1),(80,1),(86,1),(87,1),(138,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        60:{2,4,6}:{(34,1),(35,1),(38,1),(87,1)}
        61:{1,3,4,6}:{(35,1),(36,1),(39,1),(85,1),(87,1),(88,1),(141,1),(146,1),(194,1),(227,1)}
        62:{2,4,7}:{(37,1),(82,1),(86,1),(89,1)}
        63:{3,5,7}:{(38,1),(87,1),(89,1),(144,1)}
        64:{2,4,5,7}:{(39,1),(88,1),(90,1),(91,1),(93,1),(139,1),(148,1),(149,1),(189,1),(193,1),(199,1),(226,1)}
        65:{2,4,5,7}:{(40,1),(42,1),(84,1),(92,1),(93,1),(149,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(43,1),(85,1),(92,1),(93,1)}
        67:{3,6,7}:{(42,1),(87,1),(92,1)}
        68:{2,4,6,7}:{(43,1),(88,1),(93,1),(94,1),(95,1),(149,1),(151,1),(199,1)}
        69:{2,4,5,6}:{(45,1),(50,1),(96,1),(97,1),(114,1),(153,1),(230,1)}
        70:{2,5,6}:{(44,1),(47,1),(99,1),(205,1)}
        71:{1,4,6}:{(44,1),(45,1),(48,1),(99,1)}
        72:{3,4,6}:{(45,1),(49,1),(97,1)}
        73:{2,3,5,7}:{(46,1),(47,1),(55,1),(98,1),(101,1),(102,1),(177,1),(216,1)}
        74:{2,4,5,7}:{(47,1),(48,1),(99,1),(101,1),(102,1),(154,1)}
        75:{1,3,4,5,7}:{(48,1),(49,1),(100,1),(102,1),(103,1),(105,1),(110,1),(159,1),(160,1),(164,1),(200,1),(207,1),(229,1),(233,1),(242,1)}
        76:{1,4,5,7}:{(50,1),(52,1),(96,1),(104,1),(105,1),(162,1),(207,1)}
        77:{3,5,7}:{(50,1),(53,1),(97,1),(233,1)}
        78:{2,4,6,7}:{(51,1),(52,1),(99,1),(104,1),(106,1)}
        79:{1,3,4,6,7}:{(52,1),(53,1),(100,1),(105,1),(106,1),(107,1),(160,1),(163,1),(207,1),(233,1)}
        80:{1,3,5,6}:{(54,1),(55,1),(59,1),(98,1),(108,1),(109,1),(164,1),(166,1),(209,1),(234,1)}
        81:{1,2,4,6}:{(54,1),(56,1),(60,1),(99,1),(108,1),(109,1),(117,1),(157,1),(165,1),(174,1),(205,1),(213,1),(230,1)}
        82:{1,4,7}:{(55,1),(62,1),(101,1),(108,1)}
        83:{1,3,5,7}:{(56,1),(63,1),(102,1),(109,1),(110,1),(111,1),(164,1),(211,1),(216,1),(233,1),(234,1),(235,1),(242,1)}
        84:{2,4,5,6}:{(57,1),(60,1),(65,1),(112,1),(113,1),(114,1),(170,1)}
        85:{1,3,5,6}:{(57,1),(58,1),(61,1),(66,1),(112,1),(113,1),(164,1)}
        86:{2,4,6}:{(59,1),(62,1),(108,1),(114,1),(115,1),(243,1)}
        87:{3,6}:{(60,1),(63,1)}
        88:{2,4,6}:{(61,1),(64,1),(113,1),(116,1),(117,1),(174,1)}
        89:{3,4,7}:{(62,1),(63,1),(115,1),(233,1)}
        90:{2,3,5,7}:{(63,1),(64,1),(116,1),(118,1),(119,1),(172,1),(216,1),(235,1)}
        91:{1,4,5,7}:{(64,1),(117,1),(119,1),(122,1),(167,1),(176,1),(209,1),(212,1)}
        92:{3,5,7}:{(65,1),(67,1),(112,1),(120,1)}
        93:{2,5,7}:{(66,1),(68,1),(113,1),(122,1)}
        94:{2,3,6,7}:{(67,1),(68,1),(116,1),(121,1),(123,1),(216,1)}
        95:{1,4,6,7}:{(68,1),(117,1),(122,1),(123,1),(176,1)}
        96:{1,4,5,6}:{(69,1),(71,1),(76,1),(124,1),(125,1),(136,1),(180,1),(218,1)}
        97:{3,5,6}:{(69,1),(72,1),(77,1),(144,1),(238,1)}
        98:{2,3,5,6}:{(70,1),(73,1),(80,1),(126,1),(127,1),(138,1),(181,1),(189,1),(195,1),(227,1),(228,1)}
        99:{2,4,6}:{(70,1),(71,1),(74,1),(127,1)}
       100:{1,3,4,6}:{(71,1),(72,1),(75,1),(125,1),(127,1),(128,1),(178,1),(183,1),(218,1),(238,1)}
       101:{2,4,7}:{(73,1),(82,1),(126,1),(129,1)}
       102:{3,5,7}:{(74,1),(127,1),(129,1),(181,1)}
       103:{2,4,5,7}:{(75,1),(128,1),(130,1),(131,1),(133,1),(139,1),(185,1),(186,1),(189,1),(217,1),(223,1),(237,1)}
       104:{2,4,5,7}:{(76,1),(78,1),(124,1),(132,1),(133,1),(186,1)}
       105:{1,3,5,7}:{(76,1),(77,1),(79,1),(125,1),(132,1),(133,1)}
       106:{3,6,7}:{(78,1),(127,1),(132,1)}
       107:{2,4,6,7}:{(79,1),(128,1),(133,1),(134,1),(135,1),(186,1),(188,1),(223,1)}
       108:{1,4,6}:{(80,1),(82,1),(86,1),(126,1),(136,1),(240,1)}
       109:{1,3,6}:{(81,1),(83,1),(87,1),(127,1),(138,1),(227,1),(238,1)}
       110:{1,3,4,7}:{(82,1),(83,1),(89,1),(129,1),(137,1),(139,1),(240,1),(241,1),(244,1)}
       111:{2,3,5,7}:{(83,1),(138,1),(139,1),(140,1),(148,1),(185,1),(189,1),(198,1),(222,1),(228,1),(239,1)}
       112:{3,5,6}:{(84,1),(87,1),(92,1),(141,1),(144,1)}
       113:{2,5,6}:{(85,1),(88,1),(93,1),(143,1),(189,1)}
       114:{2,4,5}:{(86,1),(136,1),(144,1),(189,1)}
       115:{3,4,6}:{(86,1),(87,1),(89,1),(144,1),(238,1),(244,1)}
       116:{2,3,6}:{(87,1),(88,1),(90,1),(146,1),(227,1)}
       117:{1,4,6}:{(88,1),(91,1),(143,1),(146,1)}
       118:{2,3,4,7}:{(89,1),(90,1),(139,1),(145,1),(147,1),(149,1),(222,1),(241,1)}
       119:{1,3,5,7}:{(90,1),(91,1),(146,1),(147,1),(148,1),(196,1)}
       120:{3,4,7}:{(92,1),(141,1),(149,1)}
       121:{2,3,5,7}:{(92,1),(93,1),(94,1),(142,1),(149,1),(150,1)}
       122:{1,5,7}:{(93,1),(95,1),(143,1)}
       123:{1,3,6,7}:{(94,1),(95,1),(146,1),(150,1),(151,1)}
       124:{2,4,5,6}:{(96,1),(99,1),(104,1),(152,1),(153,1),(154,1),(201,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(100,1),(105,1),(152,1),(153,1),(164,1)}
       126:{2,4,6}:{(98,1),(101,1),(108,1),(154,1),(155,1),(236,1)}
       127:{3,6}:{(99,1),(102,1)}
       128:{2,4,6}:{(100,1),(103,1),(153,1),(156,1),(157,1),(205,1)}
       129:{3,4,7}:{(101,1),(102,1),(155,1),(216,1)}
       130:{2,3,5,7}:{(102,1),(103,1),(156,1),(158,1),(159,1),(203,1),(233,1),(242,1)}
       131:{1,4,5,7}:{(103,1),(157,1),(159,1),(162,1),(167,1),(207,1),(209,1),(229,1)}
       132:{3,5,7}:{(104,1),(106,1),(152,1),(160,1)}
       133:{2,5,7}:{(105,1),(107,1),(153,1),(162,1)}
       134:{2,3,6,7}:{(106,1),(107,1),(156,1),(161,1),(163,1),(233,1)}
       135:{1,4,6,7}:{(107,1),(157,1),(162,1),(163,1),(207,1)}
       136:{1,4,5}:{(108,1),(114,1),(154,1),(164,1),(209,1)}
       137:{1,3,4,6}:{(108,1),(109,1),(110,1),(115,1),(155,1),(164,1),(165,1)}
       138:{2,3,6}:{(109,1),(111,1),(165,1),(166,1),(174,1),(205,1)}
       139:{2,4,7}:{(110,1),(111,1),(165,1),(167,1),(236,1),(243,1)}
       140:{1,3,5,7}:{(111,1),(166,1),(167,1),(168,1),(209,1),(211,1),(234,1)}
       141:{3,4,6}:{(112,1),(120,1),(169,1),(170,1)}
       142:{2,3,5,6}:{(112,1),(113,1),(116,1),(121,1),(170,1),(171,1),(172,1)}
       143:{1,5,6}:{(113,1),(117,1),(122,1),(209,1)}
       144:{3,5}:{(114,1),(115,1)}
       145:{2,3,4,6}:{(115,1),(116,1),(118,1),(165,1),(170,1),(172,1),(173,1),(232,1),(243,1)}
       146:{1,3,6}:{(116,1),(117,1),(119,1),(174,1)}
       147:{1,3,4,7}:{(118,1),(119,1),(167,1),(173,1),(175,1),(176,1),(211,1),(216,1)}
       148:{2,5,7}:{(119,1),(174,1),(175,1),(214,1)}
       149:{2,4,7}:{(120,1),(121,1),(170,1),(176,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(123,1),(171,1),(176,1),(177,1),(216,1)}
       151:{2,6,7}:{(123,1),(174,1),(177,1)}
       152:{3,5,6}:{(124,1),(127,1),(132,1),(178,1),(181,1)}
       153:{2,5,6}:{(125,1),(128,1),(133,1),(180,1),(189,1)}
       154:{2,4,5}:{(126,1),(136,1),(181,1),(189,1)}
       155:{3,4,6}:{(126,1),(127,1),(129,1),(181,1),(227,1),(241,1)}
       156:{2,3,6}:{(127,1),(128,1),(130,1),(183,1),(238,1)}
       157:{1,4,6}:{(128,1),(131,1),(180,1),(183,1)}
       158:{2,3,4,7}:{(129,1),(130,1),(139,1),(182,1),(184,1),(186,1),(198,1),(244,1)}
       159:{1,3,5,7}:{(130,1),(131,1),(183,1),(184,1),(185,1),(220,1)}
       160:{3,4,7}:{(132,1),(178,1),(186,1)}
       161:{2,3,5,7}:{(132,1),(133,1),(134,1),(179,1),(186,1),(187,1)}
       162:{1,5,7}:{(133,1),(135,1),(180,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(183,1),(187,1),(188,1)}
       164:{1,3,5}:{(136,1),(137,1),(144,1),(181,1),(189,1)}
       165:{2,4,6}:{(137,1),(138,1),(139,1),(189,1),(190,1)}
       166:{1,3,6}:{(138,1),(140,1),(190,1),(191,1)}
       167:{1,4,7}:{(139,1),(140,1),(190,1),(240,1)}
       168:{1,2,5,7}:{(140,1),(148,1),(185,1),(191,1),(192,1),(224,1)}
       169:{3,4,5}:{(141,1),(144,1),(193,1),(244,1)}
       170:{2,4,6}:{(141,1),(142,1),(149,1),(193,1),(194,1)}
       171:{1,3,5,6}:{(142,1),(143,1),(146,1),(150,1),(194,1),(195,1),(196,1),(227,1)}
       172:{2,3,5}:{(144,1),(145,1),(189,1),(193,1),(196,1)}
       173:{1,3,4,6}:{(145,1),(146,1),(147,1),(190,1),(194,1),(196,1),(197,1),(225,1),(227,1),(240,1),(241,1)}
       174:{2,6}:{(146,1),(148,1)}
       175:{2,4,7}:{(147,1),(148,1),(197,1),(198,1)}
       176:{1,4,7}:{(149,1),(150,1),(194,1),(199,1)}
       177:{2,5,7}:{(150,1),(151,1),(195,1),(199,1)}
       178:{3,4,6}:{(152,1),(160,1),(200,1),(201,1)}
       179:{2,3,5,6}:{(152,1),(153,1),(156,1),(161,1),(201,1),(202,1),(203,1)}
       180:{1,5,6}:{(153,1),(157,1),(162,1),(209,1)}
       181:{3,5}:{(154,1),(155,1)}
       182:{2,3,4,6}:{(155,1),(156,1),(158,1),(165,1),(201,1),(203,1),(204,1),(215,1),(236,1)}
       183:{1,3,6}:{(156,1),(157,1),(159,1),(205,1)}
       184:{1,3,4,7}:{(158,1),(159,1),(167,1),(204,1),(206,1),(207,1),(211,1),(233,1)}
       185:{2,5,7}:{(159,1),(205,1),(206,1),(231,1)}
       186:{2,4,7}:{(160,1),(161,1),(201,1),(207,1)}
       187:{1,3,5,7}:{(161,1),(162,1),(163,1),(202,1),(207,1),(208,1),(233,1)}
       188:{2,6,7}:{(163,1),(205,1),(208,1)}
       189:{2,5}:{(164,1),(165,1),(209,1)}
       190:{1,4,6}:{(165,1),(166,1),(167,1),(209,1)}
       191:{1,2,6}:{(166,1),(168,1),(174,1),(205,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(175,1),(206,1),(210,1),(211,1)}
       193:{2,4,5}:{(169,1),(170,1),(172,1),(212,1),(243,1)}
       194:{1,4,6}:{(170,1),(171,1),(176,1),(212,1),(213,1)}
       195:{2,5,6}:{(171,1),(174,1),(177,1),(213,1),(214,1)}
       196:{1,3,5}:{(172,1),(173,1),(209,1),(212,1),(214,1),(235,1)}
       197:{2,4,6}:{(173,1),(174,1),(175,1),(214,1),(215,1),(236,1)}
       198:{2,3,7}:{(175,1),(211,1),(215,1),(216,1)}
       199:{2,4,7}:{(176,1),(177,1),(213,1),(216,1)}
       200:{3,4,5}:{(178,1),(181,1),(217,1),(241,1)}
       201:{2,4,6}:{(178,1),(179,1),(186,1),(217,1),(218,1)}
       202:{1,3,5,6}:{(179,1),(180,1),(183,1),(187,1),(218,1),(219,1),(220,1),(238,1)}
       203:{2,3,5}:{(181,1),(182,1),(189,1),(217,1),(220,1)}
       204:{1,3,4,6}:{(182,1),(183,1),(184,1),(190,1),(218,1),(220,1),(221,1),(225,1),(238,1),(240,1),(244,1)}
       205:{2,6}:{(183,1),(185,1)}
       206:{2,4,7}:{(184,1),(185,1),(221,1),(222,1)}
       207:{1,4,7}:{(186,1),(187,1),(218,1),(223,1)}
       208:{2,5,7}:{(187,1),(188,1),(219,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(197,1),(221,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(198,1),(222,1),(225,1)}
       212:{1,4,5}:{(193,1),(194,1),(196,1),(226,1),(240,1)}
       213:{2,4,6}:{(194,1),(195,1),(199,1),(226,1),(227,1)}
       214:{2,5}:{(196,1),(197,1)}
       215:{2,3,6}:{(197,1),(198,1),(225,1),(227,1),(228,1)}
       216:{3,7}:{(199,1),(227,1)}
       217:{2,4,5}:{(200,1),(201,1),(203,1),(229,1),(236,1)}
       218:{1,4,6}:{(201,1),(202,1),(207,1),(229,1),(230,1)}
       219:{2,5,6}:{(202,1),(205,1),(208,1),(230,1),(231,1)}
       220:{1,3,5}:{(203,1),(204,1),(209,1),(229,1),(231,1),(242,1)}
       221:{2,4,6}:{(204,1),(205,1),(206,1),(231,1),(232,1),(243,1)}
       222:{2,3,7}:{(206,1),(211,1),(232,1),(233,1)}
       223:{2,4,7}:{(207,1),(208,1),(230,1),(233,1)}
       224:{1,2,5}:{(209,1),(210,1),(214,1),(231,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(215,1),(232,1),(234,1)}
       226:{2,4,5}:{(212,1),(213,1),(214,1),(235,1),(236,1)}
       227:{3,6}:{(213,1),(216,1),(235,1)}
       228:{2,3,5}:{(214,1),(215,1),(234,1),(235,1),(236,1)}
       229:{1,4,5}:{(217,1),(218,1),(220,1),(237,1),(240,1)}
       230:{2,4,6}:{(218,1),(219,1),(223,1),(237,1),(238,1)}
       231:{2,5}:{(220,1),(221,1)}
       232:{2,3,6}:{(221,1),(222,1),(225,1),(238,1),(239,1)}
       233:{3,7}:{(223,1),(238,1)}
       234:{1,3,5}:{(224,1),(225,1),(228,1),(239,1),(240,1)}
       235:{3,5}:{(226,1),(227,1),(241,1)}
       236:{2,4}:{(228,1),(240,1),(241,1)}
       237:{2,4,5}:{(229,1),(230,1),(231,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(233,1),(242,1)}
       239:{2,3,5}:{(231,1),(232,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(236,1),(243,1)}
       241:{3,4}:{(235,1),(236,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2259 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(48,1),(112,1),(138,1),(190,1),(191,1),(205,1),(222,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(31,1),(36,1),(255,1),(256,1),(259,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(31,1),(43,1),(88,1),(100,1),(163,1),(178,1),(180,1),(249,1),(266,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(76,1),(150,1),(233,1),(248,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(19,1),(53,1),(67,1),(135,1),(136,1),(193,1),(205,1),(279,1)}
         5:{1,2,4,7}:{(1,1),(14,1),(17,1),(300,1)}
         6:{1,2,3,6}:{(1,1),(17,1),(56,1),(297,1)}
         7:{2,3,4,7}:{(14,1),(19,1),(20,1),(136,1),(310,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(21,1),(67,1),(68,1),(136,1),(224,1),(308,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(23,1),(56,1),(123,1),(137,1),(291,1)}
        10:{2,3,4,6,7}:{(3,1),(22,1),(24,1),(73,1),(110,1),(191,1),(222,1),(226,1),(276,1),(290,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(275,1),(289,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(31,1),(80,1),(88,1),(151,1),(163,1),(235,1),(237,1),(249,1),(320,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(39,1),(99,1),(176,1),(248,1)}
        14:{1,3,4,7}:{(5,1),(7,1),(26,1),(31,1),(32,1),(163,1),(335,1)}
        15:{1,2,3,6,7}:{(6,1),(33,1),(34,1),(86,1),(167,1),(253,1),(256,1),(336,1),(337,1),(388,1)}
        16:{1,2,4,5,7}:{(5,1),(8,1),(27,1),(31,1),(35,1),(36,1),(88,1),(92,1),(163,1),(249,1),(252,1),(255,1),(333,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(32,1),(36,1)}
        18:{1,2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(87,1),(89,1),(94,1),(167,1),(171,1),(258,1),(259,1),(334,1),(337,1),(387,1),(390,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(31,1),(39,1),(40,1),(268,1),(346,1)}
        20:{2,3,4,6}:{(7,1),(32,1),(39,1),(40,1),(99,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(42,1)}
        22:{1,3,4,6,7}:{(9,1),(10,1),(41,1),(43,1),(86,1),(104,1),(163,1),(178,1),(182,1),(266,1),(271,1),(330,1)}
        23:{1,3,5,6}:{(9,1),(11,1),(42,1),(43,1),(44,1),(103,1),(329,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(315,1),(328,1)}
        25:{2,4,5,6}:{(11,1),(44,1),(46,1),(47,1),(150,1)}
        26:{2,3,4,7}:{(14,1),(48,1),(49,1),(191,1),(358,1)}
        27:{2,4,5,7}:{(12,1),(48,1),(50,1),(112,1),(113,1),(191,1),(281,1),(356,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(52,1),(56,1),(123,1),(192,1),(291,1)}
        29:{2,3,4,6,7}:{(13,1),(51,1),(53,1),(65,1),(118,1),(136,1),(219,1),(279,1),(283,1),(290,1)}
        30:{2,3,5,6}:{(13,1),(52,1),(53,1),(54,1),(218,1),(289,1)}
        31:{1,3,5,7}:{(14,1),(16,1),(19,1),(48,1),(56,1),(57,1),(295,1),(367,1)}
        32:{1,3,4,6}:{(14,1),(17,1),(20,1),(49,1),(56,1),(57,1),(123,1)}
        33:{1,2,4,6,7}:{(15,1),(17,1),(55,1),(58,1),(59,1),(126,1),(212,1),(290,1),(297,1),(368,1)}
        34:{1,2,3,5,7}:{(15,1),(18,1),(58,1),(59,1),(122,1),(127,1),(213,1),(299,1),(367,1),(404,1)}
        35:{1,2,4,6}:{(16,1),(21,1),(50,1),(56,1),(61,1),(123,1),(291,1),(297,1)}
        36:{1,2,5}:{(17,1),(57,1)}
        37:{1,2,4,6}:{(18,1),(59,1),(62,1),(63,1),(123,1),(207,1),(300,1),(405,1)}
        38:{2,3,4,6,7}:{(20,1),(55,1),(64,1),(65,1),(128,1),(134,1),(136,1),(210,1),(219,1),(290,1),(401,1),(402,1),(423,1)}
        39:{2,3,6}:{(19,1),(21,1),(56,1)}
        40:{2,3,5}:{(20,1),(57,1),(67,1)}
        41:{2,4,6,7}:{(21,1),(22,1),(65,1),(68,1),(136,1),(308,1),(313,1)}
        42:{2,5,6}:{(21,1),(23,1),(68,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(24,1),(68,1),(71,1),(140,1),(362,1)}
        44:{1,4,5,6}:{(23,1),(25,1),(69,1),(71,1),(123,1)}
        45:{2,3,5,6,7}:{(24,1),(70,1),(73,1),(146,1),(226,1),(229,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(71,1),(73,1),(74,1),(191,1)}
        47:{3,4,5,6}:{(25,1),(74,1),(192,1),(275,1)}
        48:{2,3,5,7}:{(26,1),(27,1),(31,1),(76,1),(77,1),(322,1),(383,1)}
        49:{2,3,4,6}:{(26,1),(32,1),(76,1),(77,1),(150,1)}
        50:{2,4,6}:{(27,1),(28,1),(76,1),(79,1)}
        51:{1,3,4,6,7}:{(28,1),(29,1),(78,1),(80,1),(86,1),(155,1),(163,1),(235,1),(239,1),(320,1),(325,1),(330,1)}
        52:{1,3,5,6}:{(28,1),(30,1),(79,1),(80,1),(81,1),(154,1),(329,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(80,1),(83,1),(261,1),(328,1)}
        54:{2,4,5,6}:{(30,1),(81,1),(83,1),(84,1),(99,1)}
        55:{1,3,4,6,7}:{(32,1),(33,1),(38,1),(75,1),(85,1),(86,1),(91,1),(161,1),(163,1),(167,1),(169,1),(254,1),(330,1),(388,1),(389,1),(417,1)}
        56:{1,3,6}:{(31,1),(35,1),(39,1),(76,1)}
        57:{1,3,5}:{(32,1),(36,1),(40,1),(77,1),(88,1)}
        58:{1,2,5,7}:{(33,1),(36,1),(85,1),(89,1),(328,1),(390,1)}
        59:{1,2,4,7}:{(34,1),(37,1),(91,1),(163,1),(250,1),(417,1)}
        60:{1,2,4,6,7}:{(35,1),(41,1),(78,1),(86,1),(92,1),(163,1),(330,1),(333,1),(336,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(42,1),(79,1),(87,1),(92,1),(329,1)}
        62:{1,2,4,5}:{(36,1),(37,1),(88,1),(94,1),(165,1),(390,1),(418,1)}
        63:{1,3,4,6}:{(37,1),(91,1),(94,1),(95,1),(167,1),(334,1),(335,1)}
        64:{2,3,5,7}:{(38,1),(40,1),(85,1),(96,1),(97,1),(261,1),(328,1),(415,1)}
        65:{2,3,6,7}:{(39,1),(41,1),(86,1),(98,1),(182,1),(346,1)}
        66:{2,3,5,6}:{(39,1),(40,1),(42,1),(87,1),(98,1),(99,1),(103,1)}
        67:{2,4,5}:{(40,1),(88,1),(99,1),(100,1)}
        68:{2,5,7}:{(41,1),(42,1),(43,1)}
        69:{2,4,5,6}:{(42,1),(44,1),(99,1),(102,1),(103,1)}
        70:{1,3,5,6,7}:{(43,1),(45,1),(101,1),(104,1),(182,1),(271,1),(273,1)}
        71:{1,4,5,7}:{(43,1),(44,1),(46,1),(102,1),(104,1),(163,1)}
        72:{1,3,4,5,6}:{(44,1),(47,1),(103,1),(105,1),(106,1),(164,1),(184,1),(246,1),(260,1),(340,1),(392,1)}
        73:{2,4,6,7}:{(45,1),(46,1),(104,1),(108,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(108,1),(235,1),(315,1)}
        75:{2,3,4,6,7}:{(49,1),(55,1),(109,1),(110,1),(128,1),(189,1),(191,1),(210,1),(276,1),(290,1),(373,1),(374,1),(409,1)}
        76:{2,3,6}:{(48,1),(50,1),(56,1)}
        77:{2,3,5}:{(49,1),(57,1),(112,1)}
        78:{2,4,6,7}:{(50,1),(51,1),(110,1),(113,1),(191,1),(356,1),(361,1)}
        79:{2,5,6}:{(50,1),(52,1),(113,1)}
        80:{1,3,5,7}:{(51,1),(52,1),(53,1),(113,1),(116,1),(195,1),(362,1)}
        81:{1,4,5,6}:{(52,1),(54,1),(114,1),(116,1),(123,1)}
        82:{2,3,5,6,7}:{(53,1),(115,1),(118,1),(201,1),(283,1),(286,1)}
        83:{2,4,5,7}:{(53,1),(54,1),(116,1),(118,1),(119,1),(136,1)}
        84:{3,4,5,6}:{(54,1),(119,1),(137,1),(218,1)}
        85:{1,3,5,7}:{(55,1),(57,1),(58,1),(64,1),(109,1),(120,1),(121,1),(362,1),(406,1)}
        86:{1,3,6,7}:{(56,1),(60,1),(65,1),(110,1),(122,1),(367,1)}
        87:{1,3,5,6}:{(56,1),(57,1),(61,1),(66,1),(111,1),(122,1),(123,1)}
        88:{1,4,5}:{(57,1),(67,1),(112,1),(123,1)}
        89:{1,2,5,6}:{(58,1),(120,1),(126,1),(289,1),(297,1)}
        90:{1,2,4,5,7}:{(58,1),(59,1),(62,1),(121,1),(126,1),(127,1),(205,1)}
        91:{1,3,4,7}:{(59,1),(63,1),(127,1),(128,1),(367,1)}
        92:{1,2,5,7}:{(60,1),(61,1),(68,1),(113,1),(122,1),(362,1)}
        93:{1,2,4,5,6}:{(61,1),(62,1),(69,1),(114,1),(123,1),(126,1),(129,1),(130,1),(145,1),(200,1),(202,1),(207,1),(228,1),(285,1),(289,1),(294,1),(363,1),(370,1),(398,1),(405,1)}
        94:{1,3,5}:{(62,1),(63,1),(131,1)}
        95:{2,3,4,6}:{(63,1),(128,1),(131,1),(132,1),(207,1),(210,1),(309,1),(310,1),(357,1),(358,1)}
        96:{2,3,5,6}:{(64,1),(120,1),(134,1),(210,1),(218,1),(289,1)}
        97:{2,4,5,7}:{(64,1),(67,1),(121,1),(134,1),(135,1),(136,1),(423,1),(424,1)}
        98:{2,3,5,7}:{(65,1),(66,1),(68,1),(122,1),(136,1),(140,1)}
        99:{2,4,6}:{(66,1),(67,1),(123,1),(136,1),(137,1)}
       100:{3,4,5}:{(67,1),(137,1)}
       101:{2,5,6,7}:{(68,1),(70,1),(139,1),(313,1)}
       102:{2,4,5,7}:{(68,1),(69,1),(71,1),(136,1),(139,1),(140,1)}
       103:{3,5,6}:{(69,1),(137,1),(140,1)}
       104:{1,4,6,7}:{(70,1),(71,1),(73,1),(139,1)}
       105:{1,3,4,5,7}:{(71,1),(72,1),(74,1),(140,1),(143,1),(144,1),(206,1),(227,1),(288,1),(301,1),(369,1),(407,1)}
       106:{2,4,5,6}:{(72,1),(141,1),(144,1),(145,1),(207,1),(228,1),(289,1)}
       107:{2,4,5,6,7}:{(73,1),(142,1),(146,1),(229,1),(274,1),(375,1)}
       108:{3,4,6,7}:{(73,1),(74,1),(146,1)}
       109:{2,3,5,7}:{(75,1),(77,1),(85,1),(147,1),(148,1),(315,1),(328,1),(395,1)}
       110:{2,3,6,7}:{(76,1),(78,1),(86,1),(149,1),(239,1),(383,1)}
       111:{2,3,5,6}:{(76,1),(77,1),(79,1),(87,1),(149,1),(150,1),(154,1)}
       112:{2,4,5}:{(77,1),(88,1),(150,1),(151,1)}
       113:{2,5,7}:{(78,1),(79,1),(80,1)}
       114:{2,4,5,6}:{(79,1),(81,1),(150,1),(153,1),(154,1)}
       115:{1,3,5,6,7}:{(80,1),(82,1),(152,1),(155,1),(239,1),(325,1),(327,1)}
       116:{1,4,5,7}:{(80,1),(81,1),(83,1),(153,1),(155,1),(163,1)}
       117:{1,3,4,5,6}:{(81,1),(84,1),(154,1),(156,1),(157,1),(164,1),(241,1),(246,1),(314,1),(377,1),(412,1)}
       118:{2,4,6,7}:{(82,1),(83,1),(155,1),(159,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(159,1),(178,1),(261,1)}
       120:{1,3,5,6}:{(85,1),(89,1),(96,1),(147,1),(161,1),(167,1),(254,1),(329,1)}
       121:{1,4,5,7}:{(85,1),(88,1),(97,1),(148,1),(161,1),(163,1),(417,1),(418,1)}
       122:{1,3,5,7}:{(86,1),(87,1),(92,1),(98,1),(149,1),(163,1)}
       123:{1,4,6}:{(87,1),(88,1),(99,1),(150,1),(163,1)}
       124:{1,3,4,5}:{(88,1),(94,1),(100,1),(151,1),(164,1),(165,1),(418,1),(420,1),(426,1)}
       125:{1,2,5,6,7}:{(89,1),(92,1),(101,1),(152,1),(160,1),(166,1),(273,1),(327,1),(328,1),(336,1),(348,1),(385,1),(386,1)}
       126:{1,2,4,6}:{(89,1),(90,1),(161,1),(167,1),(248,1)}
       127:{1,3,5,7}:{(90,1),(91,1),(94,1),(167,1),(168,1)}
       128:{2,3,4,7}:{(91,1),(95,1),(168,1),(169,1),(250,1),(346,1),(383,1)}
       129:{1,2,4,5,7}:{(92,1),(93,1),(102,1),(153,1),(163,1),(166,1),(170,1),(187,1),(244,1),(245,1),(250,1),(272,1),(326,1),(328,1),(333,1),(386,1),(391,1),(411,1),(417,1)}
       130:{1,3,5,6}:{(93,1),(94,1),(103,1),(154,1),(164,1),(167,1),(170,1),(171,1),(334,1),(392,1),(412,1)}
       131:{2,3,5}:{(94,1),(95,1),(165,1),(172,1)}
       132:{1,3,4,6}:{(95,1),(169,1),(172,1),(173,1),(251,1),(254,1),(334,1),(335,1)}
       133:{2,3,5,6,7}:{(96,1),(98,1),(101,1),(160,1),(175,1),(182,1),(253,1),(261,1),(328,1),(385,1),(413,1),(416,1)}
       134:{2,4,6}:{(96,1),(97,1),(161,1),(176,1)}
       135:{3,4,5,7}:{(97,1),(100,1),(176,1),(178,1),(261,1),(425,1),(426,1)}
       136:{2,4,7}:{(98,1),(99,1),(163,1),(178,1)}
       137:{3,4,6}:{(99,1),(100,1),(103,1),(178,1)}
       138:{2,3,4,5}:{(100,1),(165,1),(179,1),(180,1),(322,1),(420,1)}
       139:{2,4,6,7}:{(101,1),(102,1),(104,1),(182,1)}
       140:{3,5,7}:{(102,1),(103,1),(178,1),(182,1)}
       141:{2,3,5,6}:{(103,1),(106,1),(179,1),(183,1),(184,1),(392,1)}
       142:{1,4,5,6,7}:{(104,1),(107,1),(181,1),(185,1),(245,1),(273,1),(347,1)}
       143:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(182,1),(185,1),(186,1),(269,1),(271,1),(347,1),(396,1)}
       144:{2,4,5,7}:{(105,1),(106,1),(183,1),(186,1),(187,1),(250,1),(272,1),(328,1)}
       145:{1,4,5,6}:{(106,1),(184,1),(187,1),(251,1),(329,1)}
       146:{3,5,6,7}:{(107,1),(108,1),(315,1),(396,1)}
       147:{2,3,5,6}:{(109,1),(120,1),(189,1),(210,1),(275,1),(289,1)}
       148:{2,4,5,7}:{(109,1),(112,1),(121,1),(189,1),(190,1),(191,1),(409,1),(410,1)}
       149:{2,3,5,7}:{(110,1),(111,1),(113,1),(122,1),(191,1),(195,1)}
       150:{2,4,6}:{(111,1),(112,1),(123,1),(191,1),(192,1)}
       151:{3,4,5}:{(112,1),(192,1)}
       152:{2,5,6,7}:{(113,1),(115,1),(194,1),(361,1)}
       153:{2,4,5,7}:{(113,1),(114,1),(116,1),(191,1),(194,1),(195,1)}
       154:{3,5,6}:{(114,1),(192,1),(195,1)}
       155:{1,4,6,7}:{(115,1),(116,1),(118,1),(194,1)}
       156:{1,3,4,5,7}:{(116,1),(117,1),(119,1),(195,1),(198,1),(199,1),(206,1),(284,1),(288,1),(349,1),(397,1),(421,1)}
       157:{2,4,5,6}:{(117,1),(196,1),(199,1),(200,1),(207,1),(285,1),(289,1)}
       158:{2,4,5,6,7}:{(118,1),(197,1),(201,1),(217,1),(286,1),(403,1)}
       159:{3,4,6,7}:{(118,1),(119,1),(201,1)}
       160:{1,3,5,6,7}:{(120,1),(122,1),(125,1),(133,1),(188,1),(203,1),(209,1),(288,1),(296,1),(362,1),(404,1)}
       161:{1,4,6}:{(120,1),(121,1),(134,1),(189,1)}
       162:{1,3,4,5,7}:{(121,1),(124,1),(127,1),(135,1),(190,1),(204,1),(205,1),(206,1),(288,1)}
       163:{1,4,7}:{(122,1),(123,1),(136,1),(191,1)}
       164:{1,3,4,6}:{(123,1),(124,1),(130,1),(137,1),(192,1),(206,1),(207,1),(405,1),(408,1),(422,1)}
       165:{2,4,5}:{(124,1),(131,1),(207,1),(208,1)}
       166:{1,2,4,6,7}:{(125,1),(126,1),(129,1),(139,1),(194,1),(203,1),(209,1),(230,1),(287,1),(290,1),(313,1),(361,1),(375,1),(403,1)}
       167:{1,3,6}:{(126,1),(127,1),(210,1)}
       168:{2,3,5,7}:{(127,1),(128,1),(131,1),(205,1),(210,1),(211,1)}
       169:{1,3,4,7}:{(128,1),(132,1),(211,1),(212,1),(293,1),(367,1)}
       170:{1,3,5,7}:{(129,1),(130,1),(140,1),(195,1),(206,1),(209,1),(213,1),(367,1),(407,1),(421,1)}
       171:{2,3,5,6}:{(130,1),(131,1),(207,1),(210,1),(213,1),(214,1),(228,1),(285,1),(289,1),(309,1),(357,1)}
       172:{1,3,5}:{(131,1),(132,1),(208,1),(215,1)}
       173:{1,2,4,6}:{(132,1),(212,1),(215,1),(216,1),(297,1),(300,1)}
       174:{2,4,5,6}:{(134,1),(202,1),(217,1),(218,1),(289,1)}
       175:{2,4,6,7}:{(133,1),(134,1),(136,1),(203,1),(217,1),(219,1),(423,1)}
       176:{3,4,6}:{(134,1),(135,1),(218,1)}
       177:{2,3,4,5,7}:{(135,1),(138,1),(205,1),(220,1),(221,1),(222,1),(303,1),(355,1),(423,1),(424,1)}
       178:{3,4,7}:{(136,1),(137,1),(140,1)}
       179:{2,3,4,6}:{(137,1),(138,1),(141,1),(207,1),(222,1),(223,1),(357,1),(408,1)}
       180:{1,3,4,5}:{(138,1),(208,1),(223,1),(224,1),(295,1)}
       181:{2,4,5,6,7}:{(139,1),(142,1),(217,1),(225,1),(229,1),(311,1)}
       182:{3,6,7}:{(139,1),(140,1)}
       183:{2,3,5,7}:{(140,1),(141,1),(144,1),(222,1),(226,1),(227,1),(407,1)}
       184:{1,3,5,6}:{(141,1),(145,1),(223,1),(227,1),(228,1)}
       185:{1,3,5,6,7}:{(142,1),(143,1),(146,1),(225,1),(229,1),(288,1)}
       186:{2,4,6,7}:{(143,1),(144,1),(226,1),(229,1),(230,1),(313,1)}
       187:{1,4,5,7}:{(144,1),(145,1),(227,1),(230,1),(293,1),(362,1)}
       188:{2,3,5,6,7}:{(147,1),(149,1),(152,1),(160,1),(232,1),(239,1),(253,1),(315,1),(328,1),(348,1),(393,1),(396,1)}
       189:{2,4,6}:{(147,1),(148,1),(161,1),(233,1)}
       190:{3,4,5,7}:{(148,1),(151,1),(233,1),(235,1),(315,1),(419,1),(420,1)}
       191:{2,4,7}:{(149,1),(150,1),(163,1),(235,1)}
       192:{3,4,6}:{(150,1),(151,1),(154,1),(235,1)}
       193:{2,3,4,5}:{(151,1),(165,1),(236,1),(237,1),(268,1),(426,1)}
       194:{2,4,6,7}:{(152,1),(153,1),(155,1),(239,1)}
       195:{3,5,7}:{(153,1),(154,1),(235,1),(239,1)}
       196:{2,3,5,6}:{(154,1),(157,1),(236,1),(240,1),(241,1),(412,1)}
       197:{1,4,5,6,7}:{(155,1),(158,1),(238,1),(242,1),(245,1),(327,1),(384,1)}
       198:{1,3,4,6,7}:{(155,1),(156,1),(159,1),(239,1),(242,1),(243,1),(323,1),(325,1),(384,1),(416,1)}
       199:{2,4,5,7}:{(156,1),(157,1),(240,1),(243,1),(244,1),(250,1),(326,1),(328,1)}
       200:{1,4,5,6}:{(157,1),(241,1),(244,1),(251,1),(329,1)}
       201:{3,5,6,7}:{(158,1),(159,1),(261,1),(416,1)}
       202:{1,4,5,6}:{(161,1),(174,1),(231,1),(245,1),(246,1),(329,1)}
       203:{1,4,6,7}:{(160,1),(161,1),(163,1),(175,1),(232,1),(245,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(162,1),(167,1),(176,1),(233,1),(246,1),(248,1)}
       205:{2,4,5,7}:{(162,1),(165,1),(168,1),(248,1),(249,1),(250,1),(328,1)}
       206:{1,3,4,7}:{(163,1),(164,1),(170,1),(178,1),(235,1),(250,1),(417,1),(419,1),(425,1)}
       207:{2,4,6}:{(164,1),(165,1),(171,1),(250,1),(251,1)}
       208:{1,4,5}:{(165,1),(172,1),(251,1)}
       209:{1,3,6,7}:{(166,1),(167,1),(170,1),(182,1),(239,1),(253,1),(396,1),(416,1)}
       210:{2,3,6}:{(167,1),(168,1),(248,1),(254,1)}
       211:{1,3,5,7}:{(168,1),(169,1),(172,1),(249,1),(254,1),(255,1)}
       212:{1,2,4,7}:{(169,1),(173,1),(255,1),(256,1)}
       213:{2,3,5,7}:{(170,1),(171,1),(250,1),(253,1),(257,1),(272,1),(326,1),(328,1),(346,1),(383,1)}
       214:{1,3,5,6}:{(171,1),(172,1),(251,1),(254,1),(257,1),(258,1),(329,1),(334,1)}
       215:{1,2,5}:{(172,1),(173,1)}
       216:{1,2,3,6}:{(173,1),(256,1),(259,1),(334,1)}
       217:{2,4,5,7}:{(174,1),(175,1),(245,1),(261,1),(328,1)}
       218:{3,5,6}:{(174,1),(176,1),(261,1)}
       219:{3,4,6,7}:{(175,1),(176,1),(178,1),(182,1),(261,1),(416,1),(425,1)}
       220:{2,3,4,6}:{(176,1),(177,1),(248,1),(262,1),(264,1),(381,1),(414,1)}
       221:{1,3,4,5,7}:{(177,1),(180,1),(249,1),(264,1),(265,1),(266,1),(332,1),(341,1),(417,1),(418,1),(419,1),(420,1)}
       222:{2,3,4,7}:{(178,1),(179,1),(183,1),(250,1),(266,1),(383,1),(419,1)}
       223:{1,3,4,6}:{(179,1),(180,1),(184,1),(251,1),(266,1),(267,1),(334,1)}
       224:{2,4,5}:{(180,1),(267,1),(268,1)}
       225:{3,5,6,7}:{(181,1),(182,1),(261,1),(269,1)}
       226:{2,3,6,7}:{(182,1),(183,1),(186,1),(271,1),(396,1)}
       227:{1,3,5,7}:{(183,1),(184,1),(187,1),(266,1),(271,1),(272,1)}
       228:{2,5,6}:{(184,1),(267,1),(272,1)}
       229:{2,5,6,7}:{(185,1),(186,1),(273,1),(328,1)}
       230:{1,4,6,7}:{(186,1),(187,1),(271,1),(273,1)}
       231:{2,4,5,6}:{(189,1),(202,1),(274,1),(275,1),(289,1)}
       232:{2,4,6,7}:{(188,1),(189,1),(191,1),(203,1),(274,1),(276,1),(409,1)}
       233:{3,4,6}:{(189,1),(190,1),(275,1)}
       234:{2,3,4,5,7}:{(190,1),(193,1),(205,1),(277,1),(278,1),(279,1),(307,1),(351,1),(409,1),(410,1)}
       235:{3,4,7}:{(191,1),(192,1),(195,1)}
       236:{2,3,4,6}:{(192,1),(193,1),(196,1),(207,1),(279,1),(280,1),(309,1),(422,1)}
       237:{1,3,4,5}:{(193,1),(208,1),(280,1),(281,1),(295,1)}
       238:{2,4,5,6,7}:{(194,1),(197,1),(274,1),(282,1),(286,1),(359,1)}
       239:{3,6,7}:{(194,1),(195,1)}
       240:{2,3,5,7}:{(195,1),(196,1),(199,1),(279,1),(283,1),(284,1),(421,1)}
       241:{1,3,5,6}:{(196,1),(200,1),(280,1),(284,1),(285,1)}
       242:{1,3,5,6,7}:{(197,1),(198,1),(201,1),(282,1),(286,1),(288,1)}
       243:{2,4,6,7}:{(198,1),(199,1),(283,1),(286,1),(287,1),(361,1)}
       244:{1,4,5,7}:{(199,1),(200,1),(284,1),(287,1),(293,1),(362,1)}
       245:{1,4,5,7}:{(202,1),(203,1),(217,1),(274,1),(288,1),(362,1)}
       246:{1,3,5,6}:{(202,1),(204,1),(218,1),(275,1),(288,1),(289,1)}
       247:{1,3,4,6,7}:{(203,1),(204,1),(206,1),(209,1),(219,1),(276,1),(288,1),(290,1)}
       248:{2,4,6}:{(204,1),(205,1),(210,1),(289,1),(291,1)}
       249:{1,4,5,7}:{(205,1),(208,1),(211,1),(291,1),(293,1),(362,1)}
       250:{2,4,7}:{(206,1),(207,1),(213,1),(293,1)}
       251:{1,4,6}:{(207,1),(208,1),(214,1),(293,1)}
       252:{1,2,4,5}:{(208,1),(215,1),(224,1),(281,1),(294,1),(295,1),(300,1)}
       253:{2,3,6,7}:{(209,1),(210,1),(213,1),(290,1),(296,1),(313,1),(361,1)}
       254:{1,3,6}:{(210,1),(211,1),(291,1),(297,1)}
       255:{1,2,5,7}:{(211,1),(212,1),(215,1),(297,1)}
       256:{1,2,3,7}:{(212,1),(216,1),(367,1)}
       257:{1,3,5,7}:{(213,1),(214,1),(293,1),(296,1),(299,1),(362,1),(367,1)}
       258:{1,2,5,6}:{(214,1),(215,1),(228,1),(285,1),(294,1),(297,1),(299,1)}
       259:{1,2,3,5}:{(215,1),(216,1),(295,1),(300,1)}
       260:{3,4,5,6}:{(218,1),(301,1),(302,1),(422,1)}
       261:{3,5,7}:{(217,1),(218,1),(219,1)}
       262:{2,3,5,6}:{(218,1),(220,1),(289,1),(302,1),(303,1),(304,1)}
       263:{2,3,4,6,7}:{(219,1),(220,1),(222,1),(226,1),(290,1),(303,1),(305,1),(311,1),(401,1),(423,1)}
       264:{1,3,4,6}:{(220,1),(221,1),(291,1),(304,1),(306,1),(365,1),(405,1),(408,1)}
       265:{2,4,5,7}:{(221,1),(224,1),(306,1),(307,1),(308,1),(371,1),(409,1),(410,1)}
       266:{1,3,4,7}:{(222,1),(223,1),(227,1),(293,1),(308,1),(367,1)}
       267:{2,4,6}:{(223,1),(224,1),(228,1),(308,1),(309,1)}
       268:{2,3,5}:{(224,1),(295,1),(309,1),(310,1)}
       269:{3,4,6,7}:{(225,1),(301,1),(311,1)}
       270:{2,3,5,6,7}:{(225,1),(226,1),(229,1),(303,1),(311,1),(312,1)}
       271:{1,3,6,7}:{(226,1),(227,1),(230,1),(313,1)}
       272:{2,5,7}:{(227,1),(228,1),(308,1),(313,1)}
       273:{1,5,6,7}:{(229,1),(230,1),(362,1)}
       274:{2,4,5,7}:{(231,1),(232,1),(245,1),(315,1),(328,1)}
       275:{3,5,6}:{(231,1),(233,1),(315,1)}
       276:{3,4,6,7}:{(232,1),(233,1),(235,1),(239,1),(315,1),(396,1),(419,1)}
       277:{2,3,4,6}:{(233,1),(234,1),(248,1),(316,1),(318,1),(344,1),(394,1)}
       278:{1,3,4,5,7}:{(234,1),(237,1),(249,1),(318,1),(319,1),(320,1),(332,1),(378,1),(417,1),(418,1),(425,1),(426,1)}
       279:{2,3,4,7}:{(235,1),(236,1),(240,1),(250,1),(320,1),(346,1),(425,1)}
       280:{1,3,4,6}:{(236,1),(237,1),(241,1),(251,1),(320,1),(321,1),(334,1)}
       281:{2,4,5}:{(237,1),(321,1),(322,1)}
       282:{3,5,6,7}:{(238,1),(239,1),(315,1),(323,1)}
       283:{2,3,6,7}:{(239,1),(240,1),(243,1),(325,1),(416,1)}
       284:{1,3,5,7}:{(240,1),(241,1),(244,1),(320,1),(325,1),(326,1)}
       285:{2,5,6}:{(241,1),(321,1),(326,1)}
       286:{2,5,6,7}:{(242,1),(243,1),(327,1),(328,1)}
       287:{1,4,6,7}:{(243,1),(244,1),(325,1),(327,1)}
       288:{1,3,5,7}:{(245,1),(246,1),(247,1),(261,1),(315,1),(328,1)}
       289:{2,5,6}:{(246,1),(248,1),(328,1),(329,1)}
       290:{2,4,6,7}:{(247,1),(248,1),(250,1),(253,1),(328,1),(330,1)}
       291:{1,4,6}:{(248,1),(249,1),(254,1),(329,1)}
       292:{1,2,4,5,7}:{(249,1),(252,1),(255,1),(265,1),(319,1),(331,1),(332,1),(333,1),(338,1),(386,1),(390,1),(417,1),(418,1)}
       293:{1,4,7}:{(250,1),(251,1),(257,1)}
       294:{1,2,4,6}:{(251,1),(252,1),(258,1),(267,1),(321,1),(333,1),(334,1)}
       295:{1,3,5}:{(252,1),(268,1),(322,1),(334,1),(335,1)}
       296:{1,3,6,7}:{(253,1),(254,1),(257,1),(330,1),(336,1)}
       297:{1,2,6}:{(254,1),(255,1)}
       298:{1,2,3,5,7}:{(255,1),(256,1),(259,1),(332,1),(337,1),(338,1),(390,1)}
       299:{1,2,5,7}:{(257,1),(258,1),(272,1),(326,1),(333,1),(336,1)}
       300:{1,2,4}:{(259,1),(335,1)}
       301:{3,4,5,7}:{(260,1),(261,1),(269,1),(339,1),(425,1)}
       302:{2,4,5,6}:{(260,1),(262,1),(339,1),(340,1),(414,1)}
       303:{2,3,5,7}:{(261,1),(262,1),(263,1),(328,1),(339,1),(341,1)}
       304:{1,3,5,6}:{(262,1),(264,1),(329,1),(340,1),(341,1),(342,1),(392,1)}
       305:{1,3,4,6,7}:{(263,1),(264,1),(266,1),(271,1),(330,1),(341,1),(343,1),(347,1),(388,1),(396,1),(417,1),(419,1)}
       306:{2,4,6}:{(264,1),(265,1),(342,1),(344,1)}
       307:{2,3,5,7}:{(265,1),(268,1),(332,1),(344,1),(345,1),(346,1),(395,1)}
       308:{2,4,7}:{(266,1),(267,1),(272,1),(346,1)}
       309:{2,3,6}:{(267,1),(268,1),(334,1),(346,1)}
       310:{2,3,4}:{(268,1),(335,1)}
       311:{2,4,6,7}:{(269,1),(270,1),(339,1),(347,1)}
       312:{1,3,5,6,7}:{(270,1),(271,1),(273,1),(341,1),(347,1),(348,1),(396,1)}
       313:{2,6,7}:{(271,1),(272,1)}
       314:{3,4,5,6}:{(275,1),(349,1),(350,1),(408,1)}
       315:{3,5,7}:{(274,1),(275,1),(276,1)}
       316:{2,3,5,6}:{(275,1),(277,1),(289,1),(350,1),(351,1),(352,1)}
       317:{2,3,4,6,7}:{(276,1),(277,1),(279,1),(283,1),(290,1),(351,1),(353,1),(359,1),(373,1),(409,1)}
       318:{1,3,4,6}:{(277,1),(278,1),(291,1),(352,1),(354,1),(365,1),(405,1),(422,1)}
       319:{2,4,5,7}:{(278,1),(281,1),(354,1),(355,1),(356,1),(399,1),(423,1),(424,1)}
       320:{1,3,4,7}:{(279,1),(280,1),(284,1),(293,1),(356,1),(367,1)}
       321:{2,4,6}:{(280,1),(281,1),(285,1),(356,1),(357,1)}
       322:{2,3,5}:{(281,1),(295,1),(357,1),(358,1)}
       323:{3,4,6,7}:{(282,1),(349,1),(359,1)}
       324:{2,3,5,6,7}:{(282,1),(283,1),(286,1),(351,1),(359,1),(360,1)}
       325:{1,3,6,7}:{(283,1),(284,1),(287,1),(361,1)}
       326:{2,5,7}:{(284,1),(285,1),(356,1),(361,1)}
       327:{1,5,6,7}:{(286,1),(287,1),(362,1)}
       328:{2,5,7}:{(288,1),(289,1),(290,1),(362,1)}
       329:{1,5,6}:{(289,1),(291,1),(362,1)}
       330:{1,4,6,7}:{(290,1),(291,1),(293,1),(296,1),(362,1)}
       331:{1,2,4,6}:{(291,1),(292,1),(297,1),(306,1),(354,1),(363,1),(365,1),(405,1)}
       332:{1,3,5,7}:{(292,1),(295,1),(307,1),(355,1),(365,1),(366,1),(367,1),(406,1)}
       333:{1,2,4,7}:{(293,1),(294,1),(299,1),(308,1),(356,1),(367,1)}
       334:{1,3,6}:{(294,1),(295,1),(309,1),(357,1),(367,1)}
       335:{1,3,4}:{(295,1),(300,1),(310,1),(358,1)}
       336:{1,2,6,7}:{(296,1),(297,1),(299,1),(313,1),(361,1)}
       337:{1,2,3,6}:{(297,1),(298,1),(365,1),(368,1)}
       338:{1,2,4,7}:{(298,1),(300,1),(366,1),(368,1)}
       339:{2,4,5,7}:{(301,1),(302,1),(303,1),(311,1),(369,1),(423,1)}
       340:{1,4,5,6}:{(302,1),(304,1),(369,1),(370,1),(405,1)}
       341:{1,3,5,7}:{(303,1),(304,1),(305,1),(362,1),(369,1),(371,1),(407,1)}
       342:{2,5,6}:{(304,1),(306,1),(371,1)}
       343:{2,4,6,7}:{(305,1),(306,1),(308,1),(313,1),(371,1),(373,1),(409,1)}
       344:{2,3,6}:{(306,1),(307,1),(365,1)}
       345:{2,3,4,7}:{(307,1),(310,1),(366,1),(374,1),(409,1)}
       346:{2,3,7}:{(308,1),(309,1),(367,1)}
       347:{1,4,6,7}:{(311,1),(312,1),(369,1),(375,1)}
       348:{2,5,6,7}:{(312,1),(313,1),(371,1),(375,1)}
       349:{3,4,5,7}:{(314,1),(315,1),(323,1),(376,1),(419,1)}
       350:{2,4,5,6}:{(314,1),(316,1),(376,1),(377,1),(394,1)}
       351:{2,3,5,7}:{(315,1),(316,1),(317,1),(328,1),(376,1),(378,1)}
       352:{1,3,5,6}:{(316,1),(318,1),(329,1),(377,1),(378,1),(379,1),(412,1)}
       353:{1,3,4,6,7}:{(317,1),(318,1),(320,1),(325,1),(330,1),(378,1),(380,1),(384,1),(388,1),(416,1),(417,1),(425,1)}
       354:{2,4,6}:{(318,1),(319,1),(379,1),(381,1)}
       355:{2,3,5,7}:{(319,1),(322,1),(332,1),(381,1),(382,1),(383,1),(415,1)}
       356:{2,4,7}:{(320,1),(321,1),(326,1),(383,1)}
       357:{2,3,6}:{(321,1),(322,1),(334,1),(383,1)}
       358:{2,3,4}:{(322,1),(335,1)}
       359:{2,4,6,7}:{(323,1),(324,1),(376,1),(384,1)}
       360:{1,3,5,6,7}:{(324,1),(325,1),(327,1),(378,1),(384,1),(385,1),(416,1)}
       361:{2,6,7}:{(325,1),(326,1)}
       362:{1,5,7}:{(328,1),(329,1),(330,1)}
       363:{1,2,5,6}:{(329,1),(331,1),(342,1),(379,1),(386,1),(387,1),(390,1)}
       364:{1,2,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(343,1),(380,1),(386,1),(388,1),(417,1)}
       365:{1,3,6}:{(331,1),(332,1),(344,1),(381,1)}
       366:{1,3,4,7}:{(332,1),(335,1),(338,1),(345,1),(382,1),(389,1),(417,1)}
       367:{1,3,7}:{(333,1),(334,1),(346,1),(383,1)}
       368:{1,2,4,6}:{(337,1),(338,1),(389,1),(390,1)}
       369:{1,4,5,7}:{(339,1),(340,1),(341,1),(347,1),(391,1),(417,1)}
       370:{2,4,5,6}:{(340,1),(342,1),(391,1),(392,1),(394,1)}
       371:{2,5,7}:{(341,1),(342,1),(343,1)}
       372:{2,3,5,6}:{(342,1),(344,1),(387,1),(392,1),(393,1),(394,1),(395,1)}
       373:{2,3,6,7}:{(343,1),(344,1),(346,1),(388,1),(393,1),(396,1)}
       374:{2,3,4,6}:{(344,1),(345,1),(389,1),(394,1),(395,1)}
       375:{2,4,6,7}:{(347,1),(348,1),(391,1),(396,1)}
       376:{2,4,5,7}:{(349,1),(350,1),(351,1),(359,1),(397,1),(409,1)}
       377:{1,4,5,6}:{(350,1),(352,1),(397,1),(398,1),(405,1)}
       378:{1,3,5,7}:{(351,1),(352,1),(353,1),(362,1),(397,1),(399,1),(421,1)}
       379:{2,5,6}:{(352,1),(354,1),(399,1)}
       380:{2,4,6,7}:{(353,1),(354,1),(356,1),(361,1),(399,1),(401,1),(423,1)}
       381:{2,3,6}:{(354,1),(355,1),(365,1)}
       382:{2,3,4,7}:{(355,1),(358,1),(366,1),(402,1),(423,1)}
       383:{2,3,7}:{(356,1),(357,1),(367,1)}
       384:{1,4,6,7}:{(359,1),(360,1),(397,1),(403,1)}
       385:{2,5,6,7}:{(360,1),(361,1),(399,1),(403,1)}
       386:{1,2,5,7}:{(362,1),(363,1),(364,1),(371,1),(399,1),(404,1)}
       387:{1,3,5,6}:{(363,1),(365,1),(372,1),(400,1),(404,1),(405,1),(406,1)}
       388:{1,3,6,7}:{(364,1),(365,1),(367,1),(373,1),(401,1),(404,1)}
       389:{1,3,4,6}:{(365,1),(366,1),(368,1),(374,1),(402,1),(405,1),(406,1)}
       390:{1,2,5}:{(368,1),(406,1)}
       391:{2,4,5,7}:{(369,1),(370,1),(371,1),(375,1),(407,1),(409,1)}
       392:{3,5,6}:{(370,1),(407,1),(408,1)}
       393:{2,3,5,7}:{(371,1),(372,1),(373,1),(404,1),(407,1),(409,1)}
       394:{2,4,6}:{(372,1),(405,1),(408,1),(409,1),(410,1)}
       395:{2,3,5}:{(374,1),(406,1),(410,1)}
       396:{3,6,7}:{(375,1),(407,1)}
       397:{1,4,5,7}:{(376,1),(377,1),(378,1),(384,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(377,1),(379,1),(411,1),(412,1),(414,1)}
       399:{2,5,7}:{(378,1),(379,1),(380,1)}
       400:{2,3,5,6}:{(379,1),(381,1),(387,1),(412,1),(413,1),(414,1),(415,1)}
       401:{2,3,6,7}:{(380,1),(381,1),(383,1),(388,1),(413,1),(416,1)}
       402:{2,3,4,6}:{(381,1),(382,1),(389,1),(414,1),(415,1)}
       403:{2,4,6,7}:{(384,1),(385,1),(411,1),(416,1)}
       404:{1,3,5,7}:{(386,1),(387,1),(388,1),(393,1),(413,1),(417,1)}
       405:{1,4,6}:{(387,1),(394,1),(414,1),(417,1),(418,1)}
       406:{1,3,5}:{(389,1),(390,1),(395,1),(415,1),(418,1)}
       407:{3,5,7}:{(391,1),(392,1),(396,1),(419,1)}
       408:{3,4,6}:{(392,1),(394,1),(419,1),(420,1)}
       409:{2,4,7}:{(393,1),(394,1),(417,1),(419,1)}
       410:{2,4,5}:{(394,1),(395,1),(418,1),(420,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(399,1),(403,1),(421,1),(423,1)}
       412:{3,5,6}:{(398,1),(421,1),(422,1)}
       413:{2,3,5,7}:{(399,1),(400,1),(401,1),(404,1),(421,1),(423,1)}
       414:{2,4,6}:{(400,1),(405,1),(422,1),(423,1),(424,1)}
       415:{2,3,5}:{(402,1),(406,1),(424,1)}
       416:{3,6,7}:{(403,1),(421,1)}
       417:{1,4,7}:{(404,1),(405,1),(409,1),(423,1)}
       418:{1,4,5}:{(405,1),(406,1),(410,1),(424,1)}
       419:{3,4,7}:{(407,1),(408,1),(409,1)}
       420:{3,4,5}:{(408,1),(410,1)}
       421:{3,5,7}:{(411,1),(412,1),(416,1),(425,1)}
       422:{3,4,6}:{(412,1),(414,1),(425,1),(426,1)}
       423:{2,4,7}:{(413,1),(414,1),(417,1),(425,1)}
       424:{2,4,5}:{(414,1),(415,1),(418,1),(426,1)}
       425:{3,4,7}:{(421,1),(422,1),(423,1)}
       426:{3,4,5}:{(422,1),(424,1)}

2260 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2261 :   0:{2,3,4,5}:{(2,1),(3,1),(46,1),(95,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(31,1),(33,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(31,1),(78,1),(84,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(11,1),(70,1),(121,1)}
         4:{2,3,4,5}:{(12,1),(13,1),(19,1),(58,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(54,1)}
         6:{1,2,4}:{(1,1),(14,1)}
         7:{2,3,4}:{(14,1),(19,1)}
         8:{2,4,5}:{(2,1),(19,1),(20,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(54,1),(106,1),(111,1)}
        10:{2,3,5,6}:{(3,1),(21,1),(23,1),(24,1)}
        11:{2,3,4,7}:{(3,1),(22,1),(24,1),(98,1),(143,1)}
        12:{1,3,4,5}:{(4,1),(26,1),(27,1),(31,1),(78,1),(119,1)}
        13:{2,3,4,6}:{(4,1),(27,1),(28,1),(29,1),(37,1),(86,1)}
        14:{1,3,4}:{(6,1),(7,1),(25,1),(31,1)}
        15:{1,2,3,7}:{(5,1),(32,1),(81,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(30,1),(32,1),(33,1),(82,1)}
        17:{1,2,4,5}:{(6,1),(8,1),(26,1),(31,1),(33,1),(34,1),(78,1)}
        18:{2,3,4,6}:{(7,1),(30,1),(35,1),(36,1),(37,1),(86,1),(87,1)}
        19:{2,3,5}:{(7,1),(8,1),(31,1),(37,1)}
        20:{2,4,6}:{(8,1),(9,1),(37,1),(38,1),(39,1)}
        21:{1,3,5,6}:{(9,1),(10,1),(38,1),(40,1),(41,1),(89,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(39,1),(41,1),(81,1),(131,1),(134,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(42,1),(43,1),(121,1),(157,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(41,1),(43,1),(44,1)}
        25:{2,3,4}:{(14,1),(46,1)}
        26:{2,4,5}:{(12,1),(46,1),(47,1)}
        27:{1,3,4,6}:{(12,1),(13,1),(47,1),(48,1),(49,1),(54,1),(106,1),(141,1)}
        28:{2,3,5,6}:{(13,1),(48,1),(50,1),(51,1)}
        29:{2,3,4,7}:{(13,1),(49,1),(51,1),(61,1),(113,1)}
        30:{1,3,4,6}:{(14,1),(16,1),(18,1),(45,1),(52,1),(53,1),(54,1),(106,1),(107,1)}
        31:{1,3,5}:{(14,1),(17,1),(19,1),(46,1),(54,1)}
        32:{1,2,4,7}:{(15,1),(16,1),(52,1),(55,1)}
        33:{1,2,5}:{(16,1),(53,1)}
        34:{1,2,4,6}:{(17,1),(20,1),(47,1),(54,1),(56,1),(57,1),(106,1)}
        35:{2,3,4,7}:{(18,1),(52,1),(59,1),(61,1),(113,1)}
        36:{2,3,5}:{(18,1),(53,1),(58,1)}
        37:{2,3,6}:{(19,1),(20,1),(54,1),(61,1)}
        38:{2,5,6}:{(20,1),(21,1),(63,1)}
        39:{2,4,7}:{(20,1),(22,1),(61,1),(63,1)}
        40:{1,4,5,6}:{(21,1),(23,1),(62,1),(64,1),(106,1),(149,1)}
        41:{1,3,5,7}:{(21,1),(22,1),(24,1),(63,1),(64,1),(65,1),(115,1)}
        42:{3,4,5,6}:{(23,1),(66,1),(141,1),(166,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(64,1),(66,1),(67,1),(143,1),(168,1)}
        44:{2,3,6,7}:{(24,1),(65,1),(67,1)}
        45:{2,3,4,6}:{(25,1),(30,1),(68,1),(69,1),(70,1),(121,1),(122,1)}
        46:{2,3,5}:{(25,1),(26,1),(31,1),(70,1)}
        47:{2,4,6}:{(26,1),(27,1),(70,1),(71,1),(72,1)}
        48:{1,3,5,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(124,1)}
        49:{1,3,4,7}:{(27,1),(29,1),(72,1),(74,1),(81,1),(131,1),(156,1)}
        50:{2,4,5,6}:{(28,1),(73,1),(75,1),(76,1),(86,1),(135,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(74,1),(76,1),(77,1)}
        52:{1,3,4,7}:{(30,1),(32,1),(35,1),(68,1),(79,1),(81,1),(131,1)}
        53:{1,3,5}:{(30,1),(33,1),(36,1),(69,1),(78,1)}
        54:{1,3,6}:{(31,1),(34,1),(37,1),(70,1),(81,1)}
        55:{1,2,5,7}:{(32,1),(33,1),(79,1),(82,1)}
        56:{1,2,5,6}:{(33,1),(34,1),(38,1),(71,1),(80,1),(82,1),(83,1)}
        57:{1,2,4,7}:{(34,1),(39,1),(72,1),(81,1),(83,1),(131,1)}
        58:{2,4,5}:{(36,1),(78,1),(84,1),(86,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(79,1),(85,1),(87,1)}
        60:{2,3,5,6}:{(36,1),(37,1),(38,1),(80,1),(86,1),(87,1),(88,1),(89,1),(135,1)}
        61:{2,3,7}:{(37,1),(39,1),(81,1)}
        62:{2,4,5,6}:{(38,1),(40,1),(86,1),(89,1),(90,1),(135,1),(163,1)}
        63:{2,5,7}:{(38,1),(39,1),(41,1),(91,1)}
        64:{1,4,5,7}:{(40,1),(41,1),(43,1),(90,1),(92,1),(131,1),(162,1)}
        65:{1,3,6,7}:{(41,1),(44,1),(91,1),(92,1),(137,1)}
        66:{3,4,5,7}:{(42,1),(43,1),(93,1),(156,1),(172,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(92,1),(93,1),(94,1)}
        68:{2,3,4,7}:{(45,1),(52,1),(96,1),(98,1),(143,1)}
        69:{2,3,5}:{(45,1),(53,1),(95,1)}
        70:{2,3,6}:{(46,1),(47,1),(54,1),(98,1)}
        71:{2,5,6}:{(47,1),(48,1),(100,1)}
        72:{2,4,7}:{(47,1),(49,1),(98,1),(100,1)}
        73:{1,4,5,6}:{(48,1),(50,1),(99,1),(101,1),(106,1),(149,1)}
        74:{1,3,5,7}:{(48,1),(49,1),(51,1),(100,1),(101,1),(102,1),(145,1)}
        75:{3,4,5,6}:{(50,1),(103,1),(111,1),(151,1)}
        76:{2,4,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(113,1),(153,1)}
        77:{2,3,6,7}:{(51,1),(102,1),(104,1)}
        78:{1,4,5}:{(53,1),(58,1),(95,1),(106,1)}
        79:{1,3,5,7}:{(52,1),(53,1),(55,1),(59,1),(96,1),(105,1),(107,1)}
        80:{1,3,5,6}:{(53,1),(54,1),(56,1),(60,1),(97,1),(106,1),(107,1),(108,1),(149,1)}
        81:{1,3,7}:{(54,1),(57,1),(61,1),(98,1)}
        82:{1,2,6}:{(55,1),(107,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(63,1),(100,1),(108,1),(109,1)}
        84:{3,4,5}:{(58,1),(111,1)}
        85:{2,4,5,7}:{(58,1),(59,1),(105,1),(110,1),(112,1),(113,1),(153,1)}
        86:{2,4,6}:{(58,1),(60,1),(106,1),(111,1),(113,1)}
        87:{2,3,6}:{(59,1),(107,1),(112,1)}
        88:{2,3,5,7}:{(60,1),(61,1),(63,1),(108,1),(113,1),(114,1),(115,1),(153,1)}
        89:{3,5,6}:{(62,1),(111,1),(115,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(64,1),(113,1),(115,1),(116,1),(153,1),(170,1)}
        91:{2,6,7}:{(63,1),(65,1)}
        92:{1,4,6,7}:{(64,1),(65,1),(67,1),(116,1),(117,1)}
        93:{3,4,6,7}:{(66,1),(67,1),(118,1)}
        94:{2,5,6,7}:{(67,1),(117,1),(118,1),(168,1)}
        95:{2,4,5}:{(69,1),(78,1),(119,1),(121,1)}
        96:{2,3,5,7}:{(68,1),(69,1),(79,1),(120,1),(122,1)}
        97:{2,3,5,6}:{(69,1),(70,1),(71,1),(80,1),(121,1),(122,1),(123,1),(124,1),(157,1)}
        98:{2,3,7}:{(70,1),(72,1),(81,1)}
        99:{2,4,5,6}:{(71,1),(73,1),(121,1),(124,1),(125,1),(157,1),(171,1)}
       100:{2,5,7}:{(71,1),(72,1),(74,1),(126,1)}
       101:{1,4,5,7}:{(73,1),(74,1),(76,1),(125,1),(127,1),(131,1),(162,1)}
       102:{1,3,6,7}:{(74,1),(77,1),(126,1),(127,1),(159,1)}
       103:{3,4,5,7}:{(75,1),(76,1),(128,1),(134,1),(164,1)}
       104:{2,4,6,7}:{(76,1),(77,1),(127,1),(128,1),(129,1)}
       105:{1,4,5,7}:{(78,1),(79,1),(85,1),(120,1),(130,1),(131,1),(162,1)}
       106:{1,4,6}:{(78,1),(80,1),(86,1),(121,1),(131,1)}
       107:{1,3,6}:{(79,1),(82,1),(87,1),(122,1),(130,1)}
       108:{1,3,5,7}:{(80,1),(81,1),(83,1),(88,1),(123,1),(131,1),(132,1),(162,1)}
       109:{1,2,6,7}:{(82,1),(83,1),(91,1),(126,1),(132,1)}
       110:{3,4,5,7}:{(84,1),(85,1),(133,1),(134,1),(164,1)}
       111:{3,4,6}:{(84,1),(86,1),(89,1),(134,1)}
       112:{2,4,6}:{(85,1),(87,1),(130,1),(133,1),(135,1)}
       113:{2,4,7}:{(86,1),(88,1),(131,1),(134,1)}
       114:{2,3,6,7}:{(87,1),(88,1),(91,1),(132,1),(136,1),(137,1)}
       115:{3,5,7}:{(89,1),(90,1),(134,1),(137,1)}
       116:{2,4,6,7}:{(90,1),(91,1),(92,1),(137,1),(138,1),(165,1)}
       117:{1,5,6,7}:{(92,1),(94,1),(138,1),(162,1)}
       118:{3,5,6,7}:{(93,1),(94,1),(139,1),(172,1)}
       119:{3,4,5}:{(95,1),(141,1)}
       120:{2,4,5,7}:{(95,1),(96,1),(105,1),(140,1),(142,1),(143,1),(168,1)}
       121:{2,4,6}:{(95,1),(97,1),(106,1),(141,1),(143,1)}
       122:{2,3,6}:{(96,1),(107,1),(142,1)}
       123:{2,3,5,7}:{(97,1),(98,1),(100,1),(108,1),(143,1),(144,1),(145,1),(168,1)}
       124:{3,5,6}:{(99,1),(141,1),(145,1)}
       125:{2,4,5,7}:{(99,1),(100,1),(101,1),(143,1),(145,1),(146,1),(168,1),(174,1)}
       126:{2,6,7}:{(100,1),(102,1)}
       127:{1,4,6,7}:{(101,1),(102,1),(104,1),(146,1),(147,1)}
       128:{3,4,6,7}:{(103,1),(104,1),(148,1)}
       129:{2,5,6,7}:{(104,1),(147,1),(148,1),(153,1)}
       130:{1,4,6}:{(105,1),(107,1),(112,1),(142,1),(149,1)}
       131:{1,4,7}:{(106,1),(108,1),(113,1),(143,1)}
       132:{1,3,6,7}:{(107,1),(108,1),(109,1),(114,1),(144,1),(150,1)}
       133:{3,4,6}:{(110,1),(112,1),(151,1)}
       134:{3,4,7}:{(111,1),(113,1),(115,1)}
       135:{2,5,6}:{(112,1),(149,1),(151,1),(153,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(114,1),(150,1),(152,1),(153,1)}
       137:{3,6,7}:{(115,1),(116,1)}
       138:{2,5,6,7}:{(116,1),(117,1),(153,1),(154,1)}
       139:{4,5,6,7}:{(118,1),(174,1)}
       140:{3,4,5,7}:{(119,1),(120,1),(155,1),(156,1),(172,1)}
       141:{3,4,6}:{(119,1),(121,1),(124,1),(156,1)}
       142:{2,4,6}:{(120,1),(122,1),(130,1),(155,1),(157,1)}
       143:{2,4,7}:{(121,1),(123,1),(131,1),(156,1)}
       144:{2,3,6,7}:{(122,1),(123,1),(126,1),(132,1),(158,1),(159,1)}
       145:{3,5,7}:{(124,1),(125,1),(156,1),(159,1)}
       146:{2,4,6,7}:{(125,1),(126,1),(127,1),(159,1),(160,1),(173,1)}
       147:{1,5,6,7}:{(127,1),(129,1),(160,1),(162,1)}
       148:{3,5,6,7}:{(128,1),(129,1),(161,1),(164,1)}
       149:{1,5,6}:{(130,1),(135,1),(157,1),(162,1)}
       150:{1,4,6,7}:{(130,1),(131,1),(132,1),(136,1),(158,1),(162,1)}
       151:{3,5,6}:{(133,1),(135,1),(163,1),(164,1)}
       152:{3,4,6,7}:{(133,1),(134,1),(136,1),(137,1),(164,1),(165,1)}
       153:{2,5,7}:{(135,1),(136,1),(162,1),(164,1)}
       154:{3,5,6,7}:{(137,1),(138,1),(164,1),(165,1)}
       155:{3,4,6}:{(140,1),(142,1),(166,1)}
       156:{3,4,7}:{(141,1),(143,1),(145,1)}
       157:{2,5,6}:{(142,1),(149,1),(166,1),(168,1)}
       158:{2,4,6,7}:{(142,1),(143,1),(144,1),(150,1),(167,1),(168,1)}
       159:{3,6,7}:{(145,1),(146,1)}
       160:{2,5,6,7}:{(146,1),(147,1),(168,1),(169,1)}
       161:{4,5,6,7}:{(148,1),(170,1)}
       162:{1,5,7}:{(149,1),(150,1),(153,1),(168,1)}
       163:{4,5,6}:{(151,1),(170,1)}
       164:{3,5,7}:{(151,1),(152,1),(153,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,5,6}:{(155,1),(157,1),(171,1),(172,1)}
       167:{3,4,6,7}:{(155,1),(156,1),(158,1),(159,1),(172,1),(173,1)}
       168:{2,5,7}:{(157,1),(158,1),(162,1),(172,1)}
       169:{3,5,6,7}:{(159,1),(160,1),(172,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(166,1),(174,1)}
       172:{3,5,7}:{(166,1),(167,1),(168,1),(174,1)}
       173:{4,6,7}:{(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2262 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2263 :   0:{2,3,4,5,7}:{(1,1),(2,1),(13,1),(37,1),(166,1),(169,1),(195,1),(197,1),(248,1),(259,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(137,1),(139,1),(154,1),(157,1),(237,1),(239,1),(299,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(63,1),(131,1),(288,1),(298,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(14,1),(36,1),(115,1),(118,1),(194,1),(249,1),(251,1),(259,1)}
         4:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(49,1),(90,1),(166,1),(191,1),(195,1),(244,1),(256,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(51,1),(115,1),(118,1),(278,1),(279,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(43,1),(103,1),(119,1),(333,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(321,1),(330,1)}
         8:{1,3,4,5,7}:{(3,1),(19,1),(20,1),(22,1),(60,1),(137,1),(139,1),(207,1),(210,1),(290,1),(292,1),(299,1)}
         9:{2,3,4,6}:{(3,1),(20,1),(21,1),(31,1),(85,1),(235,1),(298,1)}
        10:{1,2,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(24,1),(68,1),(74,1),(137,1),(139,1),(299,1),(300,1),(301,1),(304,1)}
        11:{1,2,3,5,7}:{(22,1),(24,1),(25,1),(74,1),(304,1),(305,1),(306,1)}
        12:{1,3,4,6,7}:{(4,1),(6,1),(27,1),(28,1),(67,1),(78,1),(137,1),(150,1),(154,1),(234,1),(237,1),(296,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(28,1),(29,1),(285,1),(295,1)}
        14:{2,3,5,7}:{(5,1),(22,1),(30,1),(31,1),(84,1),(316,1),(317,1)}
        15:{2,4,6}:{(5,1),(6,1),(31,1),(32,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(28,1),(32,1),(33,1),(86,1),(360,1)}
        17:{2,4,5,6}:{(7,1),(29,1),(33,1),(34,1),(131,1)}
        18:{2,3,4,6,7}:{(9,1),(35,1),(36,1),(50,1),(89,1),(115,1),(190,1),(245,1),(249,1),(256,1)}
        19:{2,4,5,7}:{(8,1),(37,1),(38,1),(91,1),(166,1),(169,1),(327,1),(328,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(38,1),(39,1),(43,1),(103,1),(170,1),(333,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(39,1),(40,1),(272,1),(330,1)}
        22:{1,3,5,7}:{(10,1),(14,1),(37,1),(42,1),(43,1),(102,1),(335,1),(336,1)}
        23:{1,2,4,6}:{(10,1),(15,1),(38,1),(43,1),(44,1),(103,1),(333,1),(337,1)}
        24:{1,2,4,7}:{(11,1),(42,1),(46,1),(339,1)}
        25:{1,2,3,6}:{(11,1),(43,1),(46,1),(337,1)}
        26:{2,3,5,6,7}:{(13,1),(48,1),(49,1),(110,1),(188,1),(191,1)}
        27:{2,4,6,7}:{(12,1),(15,1),(50,1),(51,1),(115,1),(275,1),(278,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(52,1),(116,1),(331,1)}
        29:{2,4,5,7}:{(13,1),(17,1),(49,1),(52,1),(53,1),(166,1)}
        30:{2,3,4,7}:{(14,1),(42,1),(54,1),(115,1),(348,1)}
        31:{2,3,6}:{(14,1),(15,1),(43,1)}
        32:{2,5,6}:{(15,1),(16,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(17,1),(52,1),(56,1),(103,1)}
        34:{3,4,5,6}:{(17,1),(53,1),(170,1),(321,1)}
        35:{1,3,4,6,7}:{(18,1),(20,1),(59,1),(60,1),(67,1),(124,1),(137,1),(203,1),(207,1),(287,1),(290,1),(296,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(60,1),(61,1),(232,1),(295,1)}
        37:{2,3,5,7}:{(19,1),(22,1),(62,1),(63,1),(130,1),(358,1),(359,1)}
        38:{2,4,6}:{(19,1),(20,1),(63,1),(64,1)}
        39:{1,3,5,6}:{(20,1),(21,1),(60,1),(64,1),(65,1),(132,1),(360,1)}
        40:{2,4,5,6}:{(21,1),(61,1),(65,1),(66,1),(85,1)}
        41:{1,2,4,6,7}:{(23,1),(27,1),(59,1),(67,1),(68,1),(137,1),(296,1),(297,1),(300,1)}
        42:{1,3,4,7}:{(22,1),(24,1),(30,1),(62,1),(69,1),(137,1),(365,1)}
        43:{1,3,6}:{(22,1),(23,1),(31,1),(63,1)}
        44:{1,2,5,6}:{(23,1),(32,1),(64,1),(68,1),(70,1),(74,1),(360,1)}
        45:{1,2,3,6,7}:{(25,1),(67,1),(72,1),(73,1),(215,1),(223,1),(297,1),(305,1),(362,1),(366,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(69,1),(74,1)}
        47:{1,2,3,5,6}:{(25,1),(70,1),(73,1),(74,1),(75,1),(141,1),(142,1),(145,1),(222,1),(223,1),(302,1),(306,1),(366,1),(401,1),(404,1)}
        48:{1,3,5,6,7}:{(26,1),(28,1),(77,1),(78,1),(150,1),(230,1),(234,1)}
        49:{2,4,6,7}:{(26,1),(29,1),(78,1),(79,1)}
        50:{2,3,6,7}:{(27,1),(31,1),(67,1),(81,1),(150,1),(316,1)}
        51:{2,5,7}:{(27,1),(28,1),(32,1)}
        52:{1,4,5,7}:{(28,1),(29,1),(33,1),(78,1),(82,1),(137,1)}
        53:{3,4,5,7}:{(29,1),(34,1),(79,1),(207,1),(285,1)}
        54:{2,3,4,6}:{(30,1),(31,1),(69,1),(84,1),(85,1)}
        55:{2,3,5,6}:{(31,1),(32,1),(70,1),(81,1),(84,1),(85,1),(86,1)}
        56:{2,4,5,6}:{(32,1),(33,1),(82,1),(85,1),(86,1)}
        57:{1,3,4,5,6}:{(33,1),(34,1),(83,1),(86,1),(87,1),(140,1),(159,1),(294,1),(307,1),(368,1),(405,1)}
        58:{2,3,5,6,7}:{(36,1),(88,1),(89,1),(161,1),(242,1),(245,1)}
        59:{2,4,6,7}:{(35,1),(38,1),(90,1),(91,1),(166,1),(324,1),(327,1)}
        60:{1,3,5,7}:{(35,1),(36,1),(39,1),(91,1),(92,1),(167,1),(331,1)}
        61:{2,4,5,7}:{(36,1),(40,1),(89,1),(92,1),(93,1),(115,1)}
        62:{2,3,4,7}:{(37,1),(42,1),(94,1),(166,1),(383,1)}
        63:{2,3,6}:{(37,1),(38,1),(43,1)}
        64:{2,5,6}:{(38,1),(39,1),(91,1)}
        65:{1,4,5,6}:{(39,1),(40,1),(92,1),(96,1),(103,1)}
        66:{3,4,5,6}:{(40,1),(93,1),(119,1),(272,1)}
        67:{1,3,6,7}:{(41,1),(43,1),(50,1),(90,1),(100,1),(335,1)}
        68:{1,2,5,7}:{(41,1),(44,1),(51,1),(91,1),(100,1),(331,1)}
        69:{1,3,4,6}:{(42,1),(43,1),(46,1),(54,1),(94,1),(102,1),(103,1)}
        70:{1,3,5,6}:{(43,1),(44,1),(55,1),(95,1),(100,1),(102,1),(103,1)}
        71:{1,2,4,5,6}:{(44,1),(56,1),(96,1),(101,1),(103,1),(104,1),(107,1),(121,1),(172,1),(180,1),(182,1),(199,1),(253,1),(254,1),(263,1),(330,1),(384,1),(389,1),(409,1),(414,1)}
        72:{1,2,4,6,7}:{(45,1),(46,1),(99,1),(105,1),(106,1),(182,1),(256,1),(266,1),(337,1),(388,1)}
        73:{1,2,3,5,7}:{(45,1),(47,1),(100,1),(105,1),(106,1),(178,1),(183,1),(261,1),(335,1),(385,1)}
        74:{1,2,5}:{(46,1),(102,1)}
        75:{1,2,4,6}:{(47,1),(103,1),(106,1),(107,1),(108,1),(180,1),(339,1),(414,1)}
        76:{2,4,5,6,7}:{(49,1),(109,1),(110,1),(188,1),(243,1),(342,1)}
        77:{2,5,6,7}:{(48,1),(51,1),(112,1),(275,1)}
        78:{1,4,6,7}:{(48,1),(49,1),(52,1),(112,1)}
        79:{3,4,6,7}:{(49,1),(53,1),(110,1)}
        80:{2,3,4,6,7}:{(50,1),(54,1),(99,1),(114,1),(115,1),(184,1),(190,1),(193,1),(256,1),(264,1),(380,1),(412,1),(413,1)}
        81:{2,3,5,7}:{(50,1),(51,1),(55,1),(100,1),(115,1),(116,1)}
        82:{2,4,5,7}:{(51,1),(52,1),(56,1),(112,1),(115,1),(116,1)}
        83:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(113,1),(116,1),(117,1),(177,1),(196,1),(255,1),(269,1),(341,1),(390,1)}
        84:{2,3,5}:{(54,1),(102,1),(118,1)}
        85:{2,4,6}:{(55,1),(103,1),(115,1),(118,1),(119,1)}
        86:{3,5,6}:{(56,1),(116,1),(119,1)}
        87:{2,4,5,6}:{(57,1),(117,1),(120,1),(121,1),(180,1),(199,1),(330,1)}
        88:{1,3,5,6,7}:{(58,1),(60,1),(123,1),(124,1),(203,1),(283,1),(287,1)}
        89:{2,4,6,7}:{(58,1),(61,1),(124,1),(125,1)}
        90:{2,3,6,7}:{(59,1),(63,1),(67,1),(127,1),(203,1),(358,1)}
        91:{2,5,7}:{(59,1),(60,1),(64,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(65,1),(124,1),(128,1),(137,1)}
        93:{3,4,5,7}:{(61,1),(66,1),(125,1),(154,1),(232,1)}
        94:{2,3,4,6}:{(62,1),(63,1),(69,1),(130,1),(131,1)}
        95:{2,3,5,6}:{(63,1),(64,1),(70,1),(127,1),(130,1),(131,1),(132,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(128,1),(131,1),(132,1)}
        97:{1,3,4,5,6}:{(65,1),(66,1),(129,1),(132,1),(133,1),(140,1),(212,1),(294,1),(349,1),(394,1),(418,1)}
        98:{1,2,5,6,7}:{(68,1),(77,1),(123,1),(134,1),(135,1),(142,1),(230,1),(283,1),(295,1),(297,1),(310,1),(352,1),(361,1)}
        99:{1,3,4,6,7}:{(67,1),(69,1),(72,1),(80,1),(126,1),(136,1),(137,1),(144,1),(216,1),(223,1),(225,1),(296,1),(303,1),(362,1),(402,1),(403,1)}
       100:{1,3,5,7}:{(67,1),(68,1),(70,1),(81,1),(127,1),(137,1)}
       101:{1,2,4,5,7}:{(68,1),(71,1),(82,1),(128,1),(135,1),(137,1),(138,1),(156,1),(209,1),(213,1),(218,1),(238,1),(291,1),(295,1),(300,1),(361,1),(369,1),(395,1),(402,1)}
       102:{1,3,5}:{(69,1),(74,1),(84,1),(130,1),(139,1)}
       103:{1,4,6}:{(70,1),(85,1),(131,1),(137,1),(139,1)}
       104:{1,3,5,6}:{(71,1),(86,1),(132,1),(138,1),(140,1),(141,1),(145,1),(223,1),(302,1),(405,1),(418,1)}
       105:{1,2,5,7}:{(72,1),(74,1),(136,1),(142,1),(295,1),(404,1)}
       106:{1,2,4,7}:{(73,1),(75,1),(137,1),(144,1),(218,1),(402,1)}
       107:{1,2,4,5}:{(74,1),(75,1),(139,1),(145,1),(220,1),(404,1),(422,1)}
       108:{1,3,4,6}:{(75,1),(144,1),(145,1),(146,1),(223,1),(302,1),(365,1)}
       109:{1,4,5,6,7}:{(76,1),(78,1),(147,1),(148,1),(213,1),(230,1),(309,1)}
       110:{3,5,6,7}:{(76,1),(79,1),(285,1),(370,1)}
       111:{2,3,5,6,7}:{(77,1),(81,1),(134,1),(149,1),(150,1),(152,1),(215,1),(232,1),(295,1),(352,1),(396,1),(398,1)}
       112:{2,4,6,7}:{(77,1),(78,1),(82,1),(150,1)}
       113:{1,3,4,6,7}:{(78,1),(79,1),(83,1),(148,1),(150,1),(151,1),(228,1),(234,1),(309,1),(370,1)}
       114:{2,3,5,7}:{(80,1),(84,1),(136,1),(152,1),(153,1),(232,1),(295,1),(421,1)}
       115:{2,4,7}:{(81,1),(85,1),(137,1),(154,1)}
       116:{3,5,7}:{(82,1),(86,1),(150,1),(154,1)}
       117:{2,4,5,7}:{(83,1),(87,1),(151,1),(155,1),(156,1),(218,1),(238,1),(295,1)}
       118:{2,4,5}:{(84,1),(85,1),(139,1),(157,1)}
       119:{3,4,6}:{(85,1),(86,1),(154,1),(157,1)}
       120:{2,3,5,6}:{(86,1),(87,1),(155,1),(158,1),(159,1),(405,1)}
       121:{1,4,5,6}:{(87,1),(156,1),(159,1),(221,1),(360,1)}
       122:{2,4,5,6,7}:{(89,1),(160,1),(161,1),(189,1),(242,1),(377,1)}
       123:{2,5,6,7}:{(88,1),(91,1),(163,1),(324,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(92,1),(163,1)}
       125:{3,4,6,7}:{(89,1),(93,1),(161,1)}
       126:{2,3,4,6,7}:{(90,1),(94,1),(99,1),(165,1),(166,1),(184,1),(244,1),(247,1),(256,1),(264,1),(345,1),(392,1),(393,1)}
       127:{2,3,5,7}:{(90,1),(91,1),(95,1),(100,1),(166,1),(167,1)}
       128:{2,4,5,7}:{(91,1),(92,1),(96,1),(163,1),(166,1),(167,1)}
       129:{1,3,4,5,7}:{(92,1),(93,1),(97,1),(164,1),(167,1),(168,1),(177,1),(250,1),(255,1),(318,1),(376,1),(410,1)}
       130:{2,3,5}:{(94,1),(102,1),(169,1)}
       131:{2,4,6}:{(95,1),(103,1),(166,1),(169,1),(170,1)}
       132:{3,5,6}:{(96,1),(167,1),(170,1)}
       133:{2,4,5,6}:{(97,1),(168,1),(171,1),(172,1),(180,1),(253,1),(330,1)}
       134:{1,3,5,6,7}:{(98,1),(100,1),(111,1),(162,1),(173,1),(174,1),(175,1),(255,1),(257,1),(331,1),(385,1)}
       135:{1,2,4,6,7}:{(98,1),(101,1),(112,1),(163,1),(173,1),(174,1),(182,1),(192,1),(246,1),(256,1),(275,1),(324,1),(342,1),(377,1)}
       136:{1,3,5,7}:{(99,1),(102,1),(105,1),(114,1),(165,1),(175,1),(176,1),(331,1),(415,1)}
       137:{1,4,7}:{(100,1),(103,1),(115,1),(166,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(116,1),(167,1),(174,1),(177,1),(178,1),(335,1),(390,1),(410,1)}
       139:{1,4,5}:{(102,1),(103,1),(118,1),(169,1)}
       140:{1,3,4,6}:{(103,1),(104,1),(119,1),(170,1),(177,1),(179,1),(180,1),(414,1),(416,1),(424,1)}
       141:{2,3,5,6}:{(104,1),(178,1),(180,1),(181,1),(185,1),(199,1),(253,1),(264,1),(280,1),(329,1),(330,1)}
       142:{1,2,5,6}:{(105,1),(175,1),(182,1),(330,1),(337,1)}
       143:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(176,1),(182,1),(183,1),(259,1)}
       144:{1,3,4,7}:{(106,1),(108,1),(183,1),(184,1),(335,1)}
       145:{1,3,5}:{(107,1),(108,1),(185,1)}
       146:{2,3,4,6}:{(108,1),(180,1),(184,1),(185,1),(186,1),(264,1),(280,1),(329,1),(348,1),(383,1)}
       147:{2,4,5,6,7}:{(109,1),(112,1),(187,1),(188,1),(189,1),(270,1)}
       148:{1,3,5,6,7}:{(109,1),(110,1),(113,1),(187,1),(188,1),(255,1)}
       149:{2,4,6,7}:{(111,1),(115,1),(173,1),(189,1),(190,1),(193,1),(412,1)}
       150:{3,6,7}:{(112,1),(116,1)}
       151:{2,4,6,7}:{(113,1),(117,1),(188,1),(191,1),(192,1),(275,1)}
       152:{2,3,5,6}:{(114,1),(175,1),(193,1),(264,1),(272,1),(330,1)}
       153:{2,4,5,7}:{(114,1),(115,1),(118,1),(176,1),(193,1),(194,1),(412,1),(425,1)}
       154:{3,4,7}:{(115,1),(116,1),(119,1)}
       155:{2,3,5,7}:{(116,1),(117,1),(120,1),(191,1),(195,1),(196,1),(390,1)}
       156:{1,4,5,7}:{(117,1),(121,1),(192,1),(196,1),(260,1),(331,1)}
       157:{3,4,5}:{(118,1),(119,1)}
       158:{2,3,4,6}:{(119,1),(120,1),(180,1),(195,1),(197,1),(198,1),(329,1),(416,1)}
       159:{1,3,5,6}:{(120,1),(121,1),(196,1),(198,1),(199,1)}
       160:{1,4,5,6,7}:{(122,1),(124,1),(200,1),(201,1),(213,1),(283,1),(351,1)}
       161:{3,5,6,7}:{(122,1),(125,1),(232,1),(396,1)}
       162:{2,3,5,6,7}:{(123,1),(127,1),(134,1),(202,1),(203,1),(205,1),(215,1),(285,1),(295,1),(310,1),(370,1),(372,1)}
       163:{2,4,6,7}:{(123,1),(124,1),(128,1),(203,1)}
       164:{1,3,4,6,7}:{(124,1),(125,1),(129,1),(201,1),(203,1),(204,1),(281,1),(287,1),(351,1),(396,1)}
       165:{2,3,5,7}:{(126,1),(130,1),(136,1),(205,1),(206,1),(285,1),(295,1),(408,1)}
       166:{2,4,7}:{(127,1),(131,1),(137,1),(207,1)}
       167:{3,5,7}:{(128,1),(132,1),(203,1),(207,1)}
       168:{2,4,5,7}:{(129,1),(133,1),(204,1),(208,1),(209,1),(218,1),(291,1),(295,1)}
       169:{2,4,5}:{(130,1),(131,1),(139,1),(210,1)}
       170:{3,4,6}:{(131,1),(132,1),(207,1),(210,1)}
       171:{2,3,5,6}:{(132,1),(133,1),(208,1),(211,1),(212,1),(418,1)}
       172:{1,4,5,6}:{(133,1),(209,1),(212,1),(221,1),(360,1)}
       173:{1,4,6,7}:{(134,1),(137,1),(149,1),(202,1),(213,1),(216,1),(402,1)}
       174:{1,3,6,7}:{(135,1),(138,1),(150,1),(203,1),(215,1),(223,1),(370,1),(396,1)}
       175:{1,3,5,6}:{(136,1),(142,1),(152,1),(205,1),(216,1),(223,1),(303,1),(360,1)}
       176:{1,4,5,7}:{(136,1),(137,1),(139,1),(153,1),(206,1),(216,1),(402,1),(422,1)}
       177:{1,3,4,7}:{(137,1),(138,1),(140,1),(154,1),(207,1),(218,1),(402,1),(406,1),(419,1)}
       178:{2,3,5,7}:{(138,1),(141,1),(215,1),(218,1),(219,1),(238,1),(291,1),(295,1),(316,1),(358,1)}
       179:{1,3,4,5}:{(139,1),(140,1),(145,1),(157,1),(210,1),(220,1),(422,1),(423,1),(426,1)}
       180:{2,4,6}:{(140,1),(141,1),(218,1),(220,1),(221,1)}
       181:{1,3,5,6}:{(141,1),(219,1),(221,1),(222,1),(226,1),(302,1),(303,1),(360,1)}
       182:{1,2,4,6}:{(142,1),(143,1),(216,1),(223,1),(298,1)}
       183:{1,3,5,7}:{(143,1),(144,1),(145,1),(223,1),(224,1)}
       184:{2,3,4,7}:{(144,1),(146,1),(218,1),(224,1),(225,1),(316,1),(358,1)}
       185:{2,3,5}:{(145,1),(146,1),(220,1),(226,1)}
       186:{1,3,4,6}:{(146,1),(221,1),(225,1),(226,1),(227,1),(302,1),(303,1),(365,1)}
       187:{3,5,6,7}:{(147,1),(150,1),(228,1),(232,1)}
       188:{2,5,6,7}:{(148,1),(151,1),(230,1),(295,1)}
       189:{2,4,5,7}:{(149,1),(213,1),(231,1),(232,1),(295,1)}
       190:{3,4,6,7}:{(149,1),(150,1),(154,1),(232,1),(235,1),(396,1),(419,1)}
       191:{2,3,6,7}:{(150,1),(151,1),(155,1),(234,1),(370,1)}
       192:{1,4,6,7}:{(151,1),(156,1),(230,1),(234,1)}
       193:{2,4,6}:{(152,1),(153,1),(216,1),(235,1)}
       194:{3,4,5,7}:{(153,1),(154,1),(157,1),(232,1),(235,1),(419,1),(426,1)}
       195:{2,3,4,7}:{(154,1),(155,1),(158,1),(218,1),(237,1),(358,1),(406,1)}
       196:{1,3,5,7}:{(155,1),(156,1),(159,1),(234,1),(237,1),(238,1)}
       197:{2,3,4,5}:{(157,1),(158,1),(220,1),(239,1),(359,1),(423,1)}
       198:{1,3,4,6}:{(158,1),(159,1),(221,1),(237,1),(239,1),(240,1),(302,1)}
       199:{2,5,6}:{(159,1),(238,1),(240,1)}
       200:{2,4,5,6,7}:{(160,1),(163,1),(241,1),(242,1),(243,1),(319,1)}
       201:{1,3,5,6,7}:{(160,1),(161,1),(164,1),(241,1),(242,1),(255,1)}
       202:{2,4,6,7}:{(162,1),(166,1),(173,1),(243,1),(244,1),(247,1),(392,1)}
       203:{3,6,7}:{(163,1),(167,1)}
       204:{2,4,6,7}:{(164,1),(168,1),(242,1),(245,1),(246,1),(324,1)}
       205:{2,3,5,6}:{(165,1),(175,1),(247,1),(264,1),(321,1),(330,1)}
       206:{2,4,5,7}:{(165,1),(166,1),(169,1),(176,1),(247,1),(248,1),(392,1),(417,1)}
       207:{3,4,7}:{(166,1),(167,1),(170,1)}
       208:{2,3,5,7}:{(167,1),(168,1),(171,1),(245,1),(249,1),(250,1),(410,1)}
       209:{1,4,5,7}:{(168,1),(172,1),(246,1),(250,1),(260,1),(331,1)}
       210:{3,4,5}:{(169,1),(170,1)}
       211:{2,3,4,6}:{(170,1),(171,1),(180,1),(249,1),(251,1),(252,1),(280,1),(424,1)}
       212:{1,3,5,6}:{(171,1),(172,1),(250,1),(252,1),(253,1)}
       213:{1,4,5,7}:{(173,1),(189,1),(243,1),(254,1),(255,1),(331,1)}
       214:{1,3,4,6,7}:{(173,1),(174,1),(177,1),(190,1),(244,1),(255,1),(256,1),(258,1)}
       215:{2,3,6,7}:{(174,1),(178,1),(256,1),(257,1),(264,1),(275,1),(324,1)}
       216:{1,4,6}:{(175,1),(176,1),(193,1),(247,1)}
       217:{1,3,4,5,7}:{(176,1),(177,1),(179,1),(183,1),(194,1),(248,1),(255,1),(258,1),(259,1)}
       218:{2,4,7}:{(177,1),(178,1),(180,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(181,1),(257,1),(260,1),(261,1),(331,1),(335,1)}
       220:{2,4,5}:{(179,1),(180,1),(185,1),(262,1)}
       221:{1,4,6}:{(180,1),(181,1),(260,1),(262,1)}
       222:{1,2,5,6}:{(181,1),(199,1),(253,1),(261,1),(263,1),(267,1),(337,1)}
       223:{1,3,6}:{(182,1),(183,1),(264,1)}
       224:{2,3,5,7}:{(183,1),(184,1),(185,1),(259,1),(264,1),(265,1)}
       225:{1,3,4,7}:{(184,1),(186,1),(260,1),(265,1),(266,1),(335,1)}
       226:{1,3,5}:{(185,1),(186,1),(262,1),(267,1)}
       227:{1,2,4,6}:{(186,1),(266,1),(267,1),(268,1),(337,1),(339,1)}
       228:{3,4,6,7}:{(187,1),(269,1),(270,1)}
       229:{2,3,5,6,7}:{(187,1),(188,1),(191,1),(270,1),(271,1),(273,1)}
       230:{1,5,6,7}:{(188,1),(192,1),(331,1)}
       231:{2,4,5,6}:{(189,1),(193,1),(254,1),(272,1),(330,1)}
       232:{3,5,7}:{(189,1),(190,1),(272,1)}
       233:{2,3,4,6,7}:{(190,1),(191,1),(195,1),(256,1),(270,1),(273,1),(274,1),(276,1),(380,1),(412,1)}
       234:{1,3,6,7}:{(191,1),(192,1),(196,1),(275,1)}
       235:{3,4,6}:{(193,1),(194,1),(272,1)}
       236:{2,3,4,5,7}:{(194,1),(195,1),(197,1),(259,1),(273,1),(276,1),(277,1),(382,1),(412,1),(425,1)}
       237:{1,3,4,7}:{(195,1),(196,1),(198,1),(260,1),(278,1),(335,1)}
       238:{2,5,7}:{(196,1),(199,1),(275,1),(278,1)}
       239:{1,3,4,5}:{(197,1),(198,1),(262,1),(279,1),(336,1)}
       240:{2,4,6}:{(198,1),(199,1),(278,1),(279,1),(280,1)}
       241:{3,5,6,7}:{(200,1),(203,1),(281,1),(285,1)}
       242:{2,5,6,7}:{(201,1),(204,1),(283,1),(295,1)}
       243:{2,4,5,7}:{(202,1),(213,1),(284,1),(285,1),(295,1)}
       244:{3,4,6,7}:{(202,1),(203,1),(207,1),(285,1),(288,1),(370,1),(406,1)}
       245:{2,3,6,7}:{(203,1),(204,1),(208,1),(287,1),(396,1)}
       246:{1,4,6,7}:{(204,1),(209,1),(283,1),(287,1)}
       247:{2,4,6}:{(205,1),(206,1),(216,1),(288,1)}
       248:{3,4,5,7}:{(206,1),(207,1),(210,1),(285,1),(288,1),(406,1),(423,1)}
       249:{2,3,4,7}:{(207,1),(208,1),(211,1),(218,1),(290,1),(316,1),(419,1)}
       250:{1,3,5,7}:{(208,1),(209,1),(212,1),(287,1),(290,1),(291,1)}
       251:{2,3,4,5}:{(210,1),(211,1),(220,1),(292,1),(317,1),(426,1)}
       252:{1,3,4,6}:{(211,1),(212,1),(221,1),(290,1),(292,1),(293,1),(302,1)}
       253:{2,5,6}:{(212,1),(291,1),(293,1)}
       254:{1,4,5,6}:{(213,1),(216,1),(231,1),(284,1),(294,1),(360,1)}
       255:{1,3,5,7}:{(213,1),(214,1),(232,1),(285,1),(294,1),(295,1)}
       256:{2,4,6,7}:{(214,1),(215,1),(218,1),(295,1),(296,1),(298,1)}
       257:{1,3,6,7}:{(215,1),(219,1),(296,1),(297,1),(303,1)}
       258:{1,3,4,6}:{(216,1),(217,1),(223,1),(235,1),(288,1),(294,1),(298,1)}
       259:{2,4,5,7}:{(217,1),(218,1),(220,1),(224,1),(295,1),(298,1),(299,1)}
       260:{1,4,7}:{(218,1),(219,1),(221,1)}
       261:{1,2,5,7}:{(219,1),(222,1),(238,1),(291,1),(297,1),(300,1)}
       262:{1,4,5}:{(220,1),(221,1),(226,1)}
       263:{1,2,4,6}:{(221,1),(222,1),(240,1),(293,1),(300,1),(301,1),(302,1)}
       264:{2,3,6}:{(223,1),(224,1),(298,1),(303,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(299,1),(303,1),(304,1)}
       266:{1,2,4,7}:{(225,1),(227,1),(304,1),(305,1)}
       267:{1,2,5}:{(226,1),(227,1)}
       268:{1,2,3,6}:{(227,1),(302,1),(305,1),(306,1)}
       269:{3,4,5,7}:{(228,1),(232,1),(307,1),(308,1),(419,1)}
       270:{2,4,6,7}:{(228,1),(229,1),(308,1),(309,1)}
       271:{1,3,5,6,7}:{(229,1),(230,1),(234,1),(309,1),(310,1),(312,1),(370,1)}
       272:{3,5,6}:{(231,1),(232,1),(235,1)}
       273:{2,3,5,7}:{(232,1),(233,1),(295,1),(308,1),(311,1),(312,1)}
       274:{1,3,4,6,7}:{(233,1),(234,1),(237,1),(296,1),(309,1),(312,1),(313,1),(314,1),(362,1),(370,1),(402,1),(406,1)}
       275:{2,6,7}:{(234,1),(238,1)}
       276:{2,3,4,6}:{(235,1),(236,1),(298,1),(311,1),(314,1),(399,1),(420,1)}
       277:{1,3,4,5,7}:{(236,1),(237,1),(239,1),(299,1),(312,1),(314,1),(315,1),(364,1),(402,1),(406,1),(422,1),(423,1)}
       278:{2,4,7}:{(237,1),(238,1),(240,1),(316,1)}
       279:{2,4,5}:{(239,1),(240,1),(317,1)}
       280:{2,3,6}:{(240,1),(302,1),(316,1),(317,1)}
       281:{3,4,6,7}:{(241,1),(318,1),(319,1)}
       282:{2,3,5,6,7}:{(241,1),(242,1),(245,1),(319,1),(320,1),(322,1)}
       283:{1,5,6,7}:{(242,1),(246,1),(331,1)}
       284:{2,4,5,6}:{(243,1),(247,1),(254,1),(321,1),(330,1)}
       285:{3,5,7}:{(243,1),(244,1),(321,1)}
       286:{2,3,4,6,7}:{(244,1),(245,1),(249,1),(256,1),(319,1),(322,1),(323,1),(325,1),(345,1),(392,1)}
       287:{1,3,6,7}:{(245,1),(246,1),(250,1),(324,1)}
       288:{3,4,6}:{(247,1),(248,1),(321,1)}
       289:{2,3,4,5,7}:{(248,1),(249,1),(251,1),(259,1),(322,1),(325,1),(326,1),(347,1),(392,1),(417,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(252,1),(260,1),(327,1),(335,1)}
       291:{2,5,7}:{(250,1),(253,1),(324,1),(327,1)}
       292:{1,3,4,5}:{(251,1),(252,1),(262,1),(328,1),(336,1)}
       293:{2,4,6}:{(252,1),(253,1),(327,1),(328,1),(329,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(258,1),(272,1),(321,1),(330,1)}
       295:{2,5,7}:{(255,1),(256,1),(330,1),(331,1)}
       296:{1,4,6,7}:{(256,1),(257,1),(260,1),(331,1),(333,1)}
       297:{1,2,6,7}:{(257,1),(261,1),(275,1),(324,1),(337,1)}
       298:{2,4,6}:{(258,1),(259,1),(264,1),(330,1),(333,1)}
       299:{1,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(331,1),(333,1)}
       300:{1,2,4,7}:{(260,1),(261,1),(263,1),(278,1),(327,1),(335,1)}
       301:{1,2,4,5}:{(262,1),(263,1),(267,1),(279,1),(328,1),(336,1),(339,1)}
       302:{1,3,6}:{(263,1),(280,1),(329,1),(335,1),(336,1)}
       303:{1,3,6}:{(264,1),(265,1),(333,1),(337,1)}
       304:{1,2,5,7}:{(265,1),(266,1),(267,1),(337,1)}
       305:{1,2,3,7}:{(266,1),(268,1),(335,1)}
       306:{1,2,3,5}:{(267,1),(268,1),(336,1),(339,1)}
       307:{3,4,5,6}:{(269,1),(272,1),(340,1),(424,1)}
       308:{2,4,5,7}:{(269,1),(270,1),(273,1),(340,1),(341,1),(412,1)}
       309:{1,4,6,7}:{(270,1),(271,1),(341,1),(342,1)}
       310:{2,5,6,7}:{(271,1),(275,1),(342,1),(344,1)}
       311:{2,3,5,6}:{(272,1),(273,1),(276,1),(330,1),(340,1),(343,1)}
       312:{1,3,5,7}:{(273,1),(274,1),(331,1),(341,1),(343,1),(344,1),(390,1)}
       313:{2,4,6,7}:{(274,1),(275,1),(278,1),(344,1),(345,1),(346,1),(392,1)}
       314:{1,3,4,6}:{(276,1),(277,1),(333,1),(343,1),(346,1),(386,1),(414,1),(416,1)}
       315:{2,4,5,7}:{(277,1),(278,1),(279,1),(344,1),(346,1),(347,1),(392,1),(417,1)}
       316:{2,3,7}:{(278,1),(280,1),(335,1)}
       317:{2,3,5}:{(279,1),(280,1),(336,1),(348,1)}
       318:{3,4,5,7}:{(281,1),(285,1),(349,1),(350,1),(406,1)}
       319:{2,4,6,7}:{(281,1),(282,1),(350,1),(351,1)}
       320:{1,3,5,6,7}:{(282,1),(283,1),(287,1),(351,1),(352,1),(354,1),(396,1)}
       321:{3,5,6}:{(284,1),(285,1),(288,1)}
       322:{2,3,5,7}:{(285,1),(286,1),(295,1),(350,1),(353,1),(354,1)}
       323:{1,3,4,6,7}:{(286,1),(287,1),(290,1),(296,1),(351,1),(354,1),(355,1),(356,1),(362,1),(396,1),(402,1),(419,1)}
       324:{2,6,7}:{(287,1),(291,1)}
       325:{2,3,4,6}:{(288,1),(289,1),(298,1),(353,1),(356,1),(373,1),(407,1)}
       326:{1,3,4,5,7}:{(289,1),(290,1),(292,1),(299,1),(354,1),(356,1),(357,1),(364,1),(402,1),(419,1),(422,1),(426,1)}
       327:{2,4,7}:{(290,1),(291,1),(293,1),(358,1)}
       328:{2,4,5}:{(292,1),(293,1),(359,1)}
       329:{2,3,6}:{(293,1),(302,1),(358,1),(359,1)}
       330:{2,5,6}:{(294,1),(295,1),(298,1),(360,1)}
       331:{1,5,7}:{(295,1),(296,1),(360,1)}
       332:{1,2,4,6,7}:{(296,1),(297,1),(300,1),(313,1),(355,1),(361,1),(362,1),(363,1),(402,1)}
       333:{1,4,6}:{(298,1),(299,1),(303,1),(360,1)}
       334:{1,2,4,5,7}:{(299,1),(300,1),(301,1),(304,1),(315,1),(357,1),(361,1),(363,1),(364,1),(367,1),(402,1),(404,1),(422,1)}
       335:{1,3,7}:{(300,1),(302,1),(316,1),(358,1)}
       336:{1,3,5}:{(301,1),(302,1),(317,1),(359,1),(365,1)}
       337:{1,2,6}:{(303,1),(304,1)}
       338:{1,2,3,5,7}:{(304,1),(305,1),(306,1),(364,1),(366,1),(367,1),(404,1)}
       339:{1,2,4}:{(306,1),(365,1)}
       340:{2,4,5,6}:{(307,1),(308,1),(311,1),(368,1),(420,1)}
       341:{1,4,5,7}:{(308,1),(309,1),(312,1),(368,1),(369,1),(402,1)}
       342:{2,4,6,7}:{(309,1),(310,1),(369,1),(370,1)}
       343:{1,3,5,6}:{(311,1),(312,1),(314,1),(360,1),(368,1),(371,1),(405,1)}
       344:{2,5,7}:{(312,1),(313,1),(371,1)}
       345:{2,3,6,7}:{(313,1),(316,1),(362,1),(370,1),(372,1),(373,1)}
       346:{2,4,6}:{(314,1),(315,1),(371,1),(373,1)}
       347:{2,3,5,7}:{(315,1),(316,1),(317,1),(364,1),(373,1),(374,1),(408,1)}
       348:{2,3,4}:{(317,1),(365,1)}
       349:{3,4,5,6}:{(318,1),(321,1),(375,1),(416,1)}
       350:{2,4,5,7}:{(318,1),(319,1),(322,1),(375,1),(376,1),(392,1)}
       351:{1,4,6,7}:{(319,1),(320,1),(376,1),(377,1)}
       352:{2,5,6,7}:{(320,1),(324,1),(377,1),(379,1)}
       353:{2,3,5,6}:{(321,1),(322,1),(325,1),(330,1),(375,1),(378,1)}
       354:{1,3,5,7}:{(322,1),(323,1),(331,1),(376,1),(378,1),(379,1),(410,1)}
       355:{2,4,6,7}:{(323,1),(324,1),(327,1),(379,1),(380,1),(381,1),(412,1)}
       356:{1,3,4,6}:{(325,1),(326,1),(333,1),(378,1),(381,1),(386,1),(414,1),(424,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(379,1),(381,1),(382,1),(412,1),(425,1)}
       358:{2,3,7}:{(327,1),(329,1),(335,1)}
       359:{2,3,5}:{(328,1),(329,1),(336,1),(383,1)}
       360:{1,5,6}:{(330,1),(331,1),(333,1)}
       361:{1,2,5,7}:{(331,1),(332,1),(344,1),(379,1),(384,1),(385,1)}
       362:{1,3,6,7}:{(332,1),(335,1),(345,1),(380,1),(385,1),(386,1)}
       363:{1,2,4,6}:{(333,1),(334,1),(337,1),(346,1),(381,1),(384,1),(386,1),(414,1)}
       364:{1,3,5,7}:{(334,1),(335,1),(336,1),(347,1),(382,1),(386,1),(387,1),(415,1)}
       365:{1,3,4}:{(336,1),(339,1),(348,1),(383,1)}
       366:{1,2,3,6}:{(337,1),(338,1),(386,1),(388,1)}
       367:{1,2,4,7}:{(338,1),(339,1),(387,1),(388,1)}
       368:{1,4,5,6}:{(340,1),(341,1),(343,1),(389,1),(414,1)}
       369:{2,4,5,7}:{(341,1),(342,1),(344,1),(389,1),(390,1),(392,1)}
       370:{3,6,7}:{(342,1),(390,1)}
       371:{2,5,6}:{(343,1),(344,1),(346,1)}
       372:{2,3,5,7}:{(344,1),(345,1),(385,1),(390,1),(391,1),(392,1)}
       373:{2,3,6}:{(346,1),(347,1),(386,1)}
       374:{2,3,4,7}:{(347,1),(348,1),(387,1),(392,1),(393,1)}
       375:{2,4,5,6}:{(349,1),(350,1),(353,1),(394,1),(407,1)}
       376:{1,4,5,7}:{(350,1),(351,1),(354,1),(394,1),(395,1),(402,1)}
       377:{2,4,6,7}:{(351,1),(352,1),(395,1),(396,1)}
       378:{1,3,5,6}:{(353,1),(354,1),(356,1),(360,1),(394,1),(397,1),(418,1)}
       379:{2,5,7}:{(354,1),(355,1),(397,1)}
       380:{2,3,6,7}:{(355,1),(358,1),(362,1),(396,1),(398,1),(399,1)}
       381:{2,4,6}:{(356,1),(357,1),(397,1),(399,1)}
       382:{2,3,5,7}:{(357,1),(358,1),(359,1),(364,1),(399,1),(400,1),(421,1)}
       383:{2,3,4}:{(359,1),(365,1)}
       384:{1,2,5,6}:{(360,1),(361,1),(363,1),(371,1),(397,1),(401,1),(404,1)}
       385:{1,3,5,7}:{(361,1),(362,1),(372,1),(398,1),(401,1),(402,1)}
       386:{1,3,6}:{(363,1),(364,1),(373,1),(399,1)}
       387:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(400,1),(402,1),(403,1)}
       388:{1,2,4,6}:{(366,1),(367,1),(403,1),(404,1)}
       389:{2,4,5,6}:{(368,1),(369,1),(371,1),(405,1),(407,1)}
       390:{3,5,7}:{(369,1),(370,1),(405,1),(406,1)}
       391:{2,3,5,6}:{(371,1),(372,1),(373,1),(401,1),(405,1),(407,1),(408,1)}
       392:{2,4,7}:{(372,1),(402,1),(406,1),(407,1)}
       393:{2,3,4,6}:{(373,1),(374,1),(403,1),(407,1),(408,1)}
       394:{1,4,5,6}:{(375,1),(376,1),(378,1),(409,1),(414,1)}
       395:{2,4,5,7}:{(376,1),(377,1),(379,1),(409,1),(410,1),(412,1)}
       396:{3,6,7}:{(377,1),(410,1)}
       397:{2,5,6}:{(378,1),(379,1),(381,1)}
       398:{2,3,5,7}:{(379,1),(380,1),(385,1),(410,1),(411,1),(412,1)}
       399:{2,3,6}:{(381,1),(382,1),(386,1)}
       400:{2,3,4,7}:{(382,1),(383,1),(387,1),(412,1),(413,1)}
       401:{1,3,5,6}:{(384,1),(385,1),(386,1),(391,1),(411,1),(414,1),(415,1)}
       402:{1,4,7}:{(385,1),(392,1),(412,1),(414,1)}
       403:{1,3,4,6}:{(386,1),(387,1),(388,1),(393,1),(413,1),(414,1),(415,1)}
       404:{1,2,5}:{(388,1),(415,1)}
       405:{3,5,6}:{(389,1),(390,1),(416,1)}
       406:{3,4,7}:{(390,1),(392,1),(416,1)}
       407:{2,4,6}:{(391,1),(392,1),(414,1),(416,1),(417,1)}
       408:{2,3,5}:{(393,1),(415,1),(417,1)}
       409:{2,4,5,6}:{(394,1),(395,1),(397,1),(418,1),(420,1)}
       410:{3,5,7}:{(395,1),(396,1),(418,1),(419,1)}
       411:{2,3,5,6}:{(397,1),(398,1),(399,1),(401,1),(418,1),(420,1),(421,1)}
       412:{2,4,7}:{(398,1),(402,1),(419,1),(420,1)}
       413:{2,3,4,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       414:{1,4,6}:{(401,1),(402,1),(407,1),(420,1),(422,1)}
       415:{1,3,5}:{(403,1),(404,1),(408,1),(421,1),(422,1)}
       416:{3,4,6}:{(405,1),(406,1),(407,1),(423,1)}
       417:{2,4,5}:{(407,1),(408,1),(422,1),(423,1)}
       418:{3,5,6}:{(409,1),(410,1),(424,1)}
       419:{3,4,7}:{(410,1),(412,1),(424,1)}
       420:{2,4,6}:{(411,1),(412,1),(414,1),(424,1),(425,1)}
       421:{2,3,5}:{(413,1),(415,1),(425,1)}
       422:{1,4,5}:{(414,1),(415,1),(417,1),(425,1)}
       423:{3,4,5}:{(416,1),(417,1)}
       424:{3,4,6}:{(418,1),(419,1),(420,1),(426,1)}
       425:{2,4,5}:{(420,1),(421,1),(422,1),(426,1)}
       426:{3,4,5}:{(424,1),(425,1)}

2264 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2265 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(103,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(34,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(82,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(80,1),(128,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(66,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(60,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(142,1),(167,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(60,1),(109,1),(114,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(108,1),(147,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(82,1),(122,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(46,1),(94,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(86,1)}
        16:{1,2,3,7}:{(5,1),(35,1),(87,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(34,1),(36,1),(37,1),(82,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(38,1),(39,1),(128,1),(161,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(40,1),(156,1),(171,1)}
        21:{2,3,4,6}:{(9,1),(33,1),(41,1),(42,1),(46,1),(94,1),(97,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(38,1),(43,1),(44,1),(89,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(39,1),(44,1),(45,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(46,1)}
        25:{2,4,6}:{(10,1),(11,1),(43,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(44,1),(47,1),(87,1),(133,1),(136,1)}
        27:{3,4,5,6}:{(48,1),(49,1),(114,1),(153,1)}
        28:{2,3,5,6}:{(14,1),(48,1),(51,1),(52,1)}
        29:{2,3,4}:{(17,1),(53,1)}
        30:{2,4,5}:{(13,1),(53,1),(54,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(51,1),(54,1),(55,1),(60,1),(109,1),(142,1)}
        32:{2,3,4,7}:{(14,1),(52,1),(55,1),(71,1),(119,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(21,1),(50,1),(56,1),(57,1),(60,1),(109,1),(112,1)}
        34:{1,2,5}:{(15,1),(56,1)}
        35:{1,2,4,7}:{(15,1),(16,1),(57,1),(59,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(53,1),(60,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(54,1),(58,1),(60,1),(61,1),(109,1)}
        38:{1,4,5,6}:{(19,1),(22,1),(62,1),(63,1),(109,1),(151,1)}
        39:{2,4,5,7}:{(19,1),(20,1),(23,1),(63,1),(64,1),(147,1),(169,1)}
        40:{3,4,6,7}:{(20,1),(64,1),(65,1)}
        41:{2,3,5}:{(21,1),(56,1),(66,1)}
        42:{2,3,4,7}:{(21,1),(57,1),(68,1),(71,1),(119,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(26,1),(63,1),(69,1),(70,1),(116,1)}
        45:{2,3,6,7}:{(23,1),(64,1),(70,1)}
        46:{2,3,6}:{(24,1),(25,1),(60,1),(71,1)}
        47:{2,4,7}:{(25,1),(26,1),(69,1),(71,1)}
        48:{2,4,5,6}:{(27,1),(28,1),(72,1),(73,1),(94,1),(141,1)}
        49:{3,4,5,7}:{(27,1),(73,1),(74,1),(136,1),(163,1)}
        50:{2,3,4,6}:{(29,1),(33,1),(75,1),(76,1),(80,1),(128,1),(131,1)}
        51:{1,3,5,6}:{(28,1),(31,1),(72,1),(77,1),(78,1),(123,1)}
        52:{2,3,5,7}:{(28,1),(32,1),(73,1),(78,1),(79,1)}
        53:{2,3,5}:{(29,1),(30,1),(36,1),(80,1)}
        54:{2,4,6}:{(30,1),(31,1),(77,1),(80,1),(81,1)}
        55:{1,3,4,7}:{(31,1),(32,1),(78,1),(81,1),(87,1),(133,1),(156,1)}
        56:{1,3,5}:{(33,1),(34,1),(41,1),(75,1),(82,1)}
        57:{1,3,4,7}:{(33,1),(35,1),(42,1),(76,1),(84,1),(87,1),(133,1)}
        58:{1,2,5,6}:{(34,1),(37,1),(43,1),(77,1),(83,1),(85,1),(86,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(84,1),(86,1)}
        60:{1,3,6}:{(36,1),(37,1),(46,1),(80,1),(87,1)}
        61:{1,2,4,7}:{(37,1),(47,1),(81,1),(85,1),(87,1),(133,1)}
        62:{2,4,5,6}:{(38,1),(43,1),(89,1),(90,1),(94,1),(141,1),(164,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(44,1),(90,1),(91,1),(133,1),(162,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(45,1),(91,1),(92,1)}
        65:{3,5,6,7}:{(40,1),(92,1),(93,1),(171,1)}
        66:{2,4,5}:{(41,1),(82,1),(88,1),(94,1)}
        67:{2,3,5,6}:{(41,1),(43,1),(46,1),(83,1),(89,1),(94,1),(96,1),(97,1),(141,1)}
        68:{2,3,5,7}:{(41,1),(42,1),(84,1),(95,1),(97,1)}
        69:{2,5,7}:{(43,1),(44,1),(47,1),(98,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(91,1),(98,1),(138,1)}
        71:{2,3,7}:{(46,1),(47,1),(87,1)}
        72:{1,4,5,6}:{(48,1),(51,1),(99,1),(100,1),(109,1),(151,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(52,1),(100,1),(101,1),(119,1),(155,1)}
        74:{3,4,6,7}:{(49,1),(101,1),(102,1)}
        75:{2,3,5}:{(50,1),(56,1),(103,1)}
        76:{2,3,4,7}:{(50,1),(57,1),(105,1),(108,1),(147,1)}
        77:{2,5,6}:{(51,1),(54,1),(106,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(55,1),(100,1),(106,1),(107,1),(144,1)}
        79:{2,3,6,7}:{(52,1),(101,1),(107,1)}
        80:{2,3,6}:{(53,1),(54,1),(60,1),(108,1)}
        81:{2,4,7}:{(54,1),(55,1),(106,1),(108,1)}
        82:{1,4,5}:{(56,1),(66,1),(103,1),(109,1)}
        83:{1,3,5,6}:{(56,1),(58,1),(60,1),(67,1),(104,1),(109,1),(111,1),(112,1),(151,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(59,1),(68,1),(105,1),(110,1),(112,1)}
        85:{1,2,5,7}:{(58,1),(61,1),(69,1),(106,1),(111,1),(113,1)}
        86:{1,2,6}:{(59,1),(112,1)}
        87:{1,3,7}:{(60,1),(61,1),(71,1),(108,1)}
        88:{3,4,5}:{(66,1),(114,1)}
        89:{3,5,6}:{(62,1),(114,1),(116,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(69,1),(116,1),(117,1),(119,1),(155,1),(170,1)}
        91:{1,4,6,7}:{(63,1),(64,1),(70,1),(117,1),(118,1)}
        92:{2,5,6,7}:{(64,1),(65,1),(118,1),(169,1)}
        93:{4,5,6,7}:{(65,1),(174,1)}
        94:{2,4,6}:{(66,1),(67,1),(109,1),(114,1),(119,1)}
        95:{2,4,5,7}:{(66,1),(68,1),(110,1),(115,1),(119,1),(120,1),(155,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(111,1),(116,1),(119,1),(121,1),(155,1)}
        97:{2,3,6}:{(68,1),(112,1),(120,1)}
        98:{2,6,7}:{(69,1),(70,1)}
        99:{2,4,5,6}:{(72,1),(77,1),(123,1),(124,1),(128,1),(161,1),(172,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(78,1),(124,1),(125,1),(133,1),(162,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(79,1),(125,1),(126,1)}
       102:{3,5,6,7}:{(74,1),(126,1),(127,1),(163,1)}
       103:{2,4,5}:{(75,1),(82,1),(122,1),(128,1)}
       104:{2,3,5,6}:{(75,1),(77,1),(80,1),(83,1),(123,1),(128,1),(130,1),(131,1),(161,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1)}
       106:{2,5,7}:{(77,1),(78,1),(81,1),(132,1)}
       107:{1,3,6,7}:{(78,1),(79,1),(125,1),(132,1),(158,1)}
       108:{2,3,7}:{(80,1),(81,1),(87,1)}
       109:{1,4,6}:{(82,1),(83,1),(94,1),(128,1),(133,1)}
       110:{1,4,5,7}:{(82,1),(84,1),(95,1),(129,1),(133,1),(134,1),(162,1)}
       111:{1,3,5,7}:{(83,1),(85,1),(87,1),(96,1),(130,1),(133,1),(135,1),(162,1)}
       112:{1,3,6}:{(84,1),(86,1),(97,1),(131,1),(134,1)}
       113:{1,2,6,7}:{(85,1),(86,1),(98,1),(132,1),(135,1)}
       114:{3,4,6}:{(88,1),(89,1),(94,1),(136,1)}
       115:{3,4,5,7}:{(88,1),(95,1),(136,1),(137,1),(163,1)}
       116:{3,5,7}:{(89,1),(90,1),(136,1),(138,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(98,1),(138,1),(139,1),(165,1)}
       118:{1,5,6,7}:{(91,1),(92,1),(139,1),(162,1)}
       119:{2,4,7}:{(94,1),(96,1),(133,1),(136,1)}
       120:{2,4,6}:{(95,1),(97,1),(134,1),(137,1),(141,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(98,1),(135,1),(138,1),(140,1)}
       122:{3,4,5}:{(103,1),(142,1)}
       123:{3,5,6}:{(99,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(99,1),(100,1),(106,1),(144,1),(145,1),(147,1),(169,1),(174,1)}
       125:{1,4,6,7}:{(100,1),(101,1),(107,1),(145,1),(146,1)}
       126:{2,5,6,7}:{(101,1),(102,1),(146,1),(155,1)}
       127:{4,5,6,7}:{(102,1),(170,1)}
       128:{2,4,6}:{(103,1),(104,1),(109,1),(142,1),(147,1)}
       129:{2,4,5,7}:{(103,1),(105,1),(110,1),(143,1),(147,1),(148,1),(169,1)}
       130:{2,3,5,7}:{(104,1),(106,1),(108,1),(111,1),(144,1),(147,1),(149,1),(169,1)}
       131:{2,3,6}:{(105,1),(112,1),(148,1)}
       132:{2,6,7}:{(106,1),(107,1)}
       133:{1,4,7}:{(109,1),(111,1),(119,1),(147,1)}
       134:{1,4,6}:{(110,1),(112,1),(120,1),(148,1),(151,1)}
       135:{1,3,6,7}:{(111,1),(112,1),(113,1),(121,1),(149,1),(150,1)}
       136:{3,4,7}:{(114,1),(116,1),(119,1)}
       137:{3,4,6}:{(115,1),(120,1),(153,1)}
       138:{3,6,7}:{(116,1),(117,1)}
       139:{2,5,6,7}:{(117,1),(118,1),(154,1),(155,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(121,1),(150,1),(152,1),(155,1)}
       141:{2,5,6}:{(120,1),(151,1),(153,1),(155,1)}
       142:{3,4,6}:{(122,1),(123,1),(128,1),(156,1)}
       143:{3,4,5,7}:{(122,1),(129,1),(156,1),(157,1),(171,1)}
       144:{3,5,7}:{(123,1),(124,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(124,1),(125,1),(132,1),(158,1),(159,1),(173,1)}
       146:{1,5,6,7}:{(125,1),(126,1),(159,1),(162,1)}
       147:{2,4,7}:{(128,1),(130,1),(133,1),(156,1)}
       148:{2,4,6}:{(129,1),(131,1),(134,1),(157,1),(161,1)}
       149:{2,3,6,7}:{(130,1),(131,1),(132,1),(135,1),(158,1),(160,1)}
       150:{1,4,6,7}:{(133,1),(134,1),(135,1),(140,1),(160,1),(162,1)}
       151:{1,5,6}:{(134,1),(141,1),(161,1),(162,1)}
       152:{3,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(163,1),(165,1)}
       153:{3,5,6}:{(137,1),(141,1),(163,1),(164,1)}
       154:{3,5,6,7}:{(138,1),(139,1),(163,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(163,1)}
       156:{3,4,7}:{(142,1),(144,1),(147,1)}
       157:{3,4,6}:{(143,1),(148,1),(167,1)}
       158:{3,6,7}:{(144,1),(145,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(168,1),(169,1)}
       160:{2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(166,1),(169,1)}
       161:{2,5,6}:{(148,1),(151,1),(167,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{3,5,7}:{(152,1),(153,1),(155,1),(170,1)}
       164:{4,5,6}:{(153,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(171,1),(173,1)}
       167:{3,5,6}:{(157,1),(161,1),(171,1),(172,1)}
       168:{3,5,6,7}:{(158,1),(159,1),(171,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(171,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{3,5,7}:{(166,1),(167,1),(169,1),(174,1)}
       172:{4,5,6}:{(167,1),(174,1)}
       173:{4,6,7}:{(168,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2266 :   0:{1,2,3,5,6}:{(1,1),(2,1),(10,1),(32,1),(42,1),(44,1),(46,1),(96,1),(108,1),(192,1),(194,1),(284,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(22,1),(24,1),(73,1),(155,1),(241,1),(326,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(59,1),(62,1),(325,1)}
         3:{1,3,4,6}:{(2,1),(8,1),(9,1),(10,1),(44,1),(95,1),(192,1)}
         4:{1,2,3,6,7}:{(1,1),(11,1),(44,1),(96,1),(114,1),(205,1),(285,1),(293,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(102,1),(363,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(33,1),(194,1),(283,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(51,1),(103,1),(216,1),(218,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(62,1),(72,1),(78,1),(131,1),(165,1),(229,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(19,1),(22,1),(241,1)}
        10:{1,3,5}:{(3,1),(6,1),(20,1)}
        11:{1,2,4,6,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(143,1),(149,1),(334,1),(399,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(24,1),(25,1),(61,1),(74,1)}
        13:{1,2,4,5,6}:{(6,1),(23,1),(25,1),(26,1),(29,1),(62,1),(84,1),(137,1),(145,1),(148,1),(150,1),(224,1),(244,1),(261,1),(317,1),(325,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(62,1),(84,1),(148,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(64,1),(85,1),(151,1),(264,1),(265,1),(344,1)}
        16:{1,3,4,5}:{(10,1),(33,1),(35,1),(283,1),(301,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(192,1)}
        18:{1,3,4,6}:{(8,1),(37,1),(38,1),(39,1),(95,1),(100,1),(110,1),(192,1)}
        19:{2,3,4,7}:{(8,1),(9,1),(38,1),(41,1),(102,1),(213,1),(274,1)}
        20:{2,3,5}:{(8,1),(10,1),(33,1),(39,1)}
        21:{1,3,4,6,7}:{(9,1),(11,1),(40,1),(43,1),(44,1),(115,1),(190,1),(285,1),(294,1),(363,1),(371,1),(373,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,5,6}:{(10,1),(13,1),(35,1),(42,1),(44,1),(45,1),(192,1),(304,1),(355,1)}
        24:{1,2,5,7}:{(11,1),(43,1),(46,1),(194,1),(200,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(46,1),(101,1),(115,1)}
        26:{1,2,4,5,7}:{(13,1),(45,1),(47,1),(53,1),(102,1),(125,1),(187,1),(196,1),(200,1),(201,1),(269,1),(289,1),(305,1),(356,1),(363,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(50,1),(180,1),(301,1)}
        28:{2,3,5,6}:{(14,1),(50,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(100,1),(197,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(102,1),(125,1),(200,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(308,1)}
        32:{1,2,3,5}:{(17,1),(59,1),(67,1),(141,1)}
        33:{2,4,5}:{(16,1),(20,1),(60,1),(62,1)}
        34:{1,3,4,5,7}:{(16,1),(22,1),(61,1),(63,1),(64,1),(74,1),(151,1),(159,1)}
        35:{1,3,4,6}:{(16,1),(23,1),(62,1),(64,1),(325,1),(341,1),(384,1)}
        36:{1,2,3,7}:{(17,1),(66,1),(241,1)}
        37:{1,2,4,6}:{(17,1),(18,1),(59,1),(66,1),(67,1),(154,1)}
        38:{1,3,4,7}:{(18,1),(19,1),(66,1),(69,1),(147,1),(241,1)}
        39:{1,3,5}:{(18,1),(20,1),(60,1),(67,1)}
        40:{2,3,4,6,7}:{(19,1),(21,1),(68,1),(71,1),(72,1),(149,1),(160,1),(163,1),(227,1),(250,1),(257,1),(260,1),(316,1),(336,1),(339,1),(342,1),(385,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(61,1),(69,1),(72,1)}
        42:{2,3,5,6}:{(20,1),(23,1),(62,1),(70,1),(72,1),(73,1),(84,1),(148,1),(165,1),(224,1),(229,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(71,1),(74,1),(75,1),(239,1),(398,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(64,1),(73,1),(76,1),(241,1),(344,1),(387,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(75,1),(148,1),(399,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(76,1),(77,1),(87,1),(149,1),(162,1),(172,1),(236,1),(266,1),(311,1),(381,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(81,1),(141,1)}
        49:{2,3,4,5,7}:{(27,1),(61,1),(80,1),(82,1),(83,1),(159,1),(171,1),(228,1),(254,1),(314,1),(340,1),(385,1),(404,1)}
        50:{2,3,4,6}:{(27,1),(28,1),(62,1),(81,1),(83,1),(229,1),(341,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(81,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(83,1),(85,1),(86,1),(344,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(147,1),(247,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(151,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(92,1),(118,1),(352,1)}
        57:{1,3,4,5,6}:{(35,1),(93,1),(94,1),(103,1),(177,1),(277,1),(279,1),(355,1)}
        58:{1,2,3,5,7}:{(32,1),(36,1),(96,1),(97,1),(107,1),(191,1),(194,1),(293,1),(360,1),(370,1)}
        59:{1,2,4}:{(32,1),(95,1)}
        60:{1,4,5}:{(33,1),(39,1),(100,1)}
        61:{2,4,5,7}:{(33,1),(34,1),(41,1),(99,1),(101,1),(102,1),(200,1)}
        62:{2,4,6}:{(33,1),(35,1),(42,1),(100,1),(102,1)}
        63:{1,3,4,6}:{(34,1),(44,1),(101,1),(103,1),(115,1),(209,1)}
        64:{1,3,4,7}:{(35,1),(45,1),(102,1),(363,1),(376,1),(412,1)}
        65:{1,2,3,6,7}:{(36,1),(96,1),(105,1),(106,1),(285,1),(296,1),(372,1),(423,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(38,1),(107,1)}
        67:{1,2,5}:{(37,1),(39,1)}
        68:{1,3,4,6,7}:{(38,1),(40,1),(106,1),(109,1),(110,1),(190,1),(198,1),(202,1),(207,1),(285,1),(296,1),(363,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(99,1),(107,1),(110,1)}
        70:{1,3,5,6}:{(39,1),(42,1),(100,1),(108,1),(110,1),(111,1),(192,1),(197,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(109,1),(112,1),(113,1),(200,1),(211,1),(272,1),(292,1),(369,1)}
        72:{2,3,6}:{(41,1),(44,1),(101,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(102,1),(111,1),(114,1),(125,1),(200,1),(213,1),(269,1),(274,1)}
        74:{1,4,5,7}:{(43,1),(112,1),(115,1),(283,1),(363,1)}
        75:{1,3,5,6}:{(43,1),(44,1),(46,1),(113,1),(115,1),(368,1),(371,1)}
        76:{1,3,6,7}:{(44,1),(45,1),(47,1),(114,1),(308,1),(408,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(116,1),(128,1),(200,1),(220,1),(281,1),(289,1),(349,1),(423,1)}
        78:{2,3,4}:{(95,1),(118,1)}
        79:{2,4,5}:{(48,1),(118,1),(120,1)}
        80:{1,3,4,5,7}:{(48,1),(49,1),(99,1),(119,1),(121,1),(122,1),(191,1),(217,1),(283,1),(298,1),(301,1),(363,1),(374,1),(376,1),(426,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(51,1),(100,1),(120,1),(122,1),(192,1)}
        82:{2,3,4,6}:{(49,1),(101,1),(121,1),(123,1),(209,1),(273,1),(299,1),(353,1)}
        83:{2,3,4,7}:{(50,1),(52,1),(102,1),(122,1),(274,1),(376,1)}
        84:{2,5,6}:{(51,1),(120,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(122,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(308,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(200,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(310,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(134,1),(141,1)}
        91:{2,3,4,5,7}:{(56,1),(61,1),(133,1),(135,1),(136,1),(159,1),(164,1),(235,1),(254,1),(258,1),(342,1),(383,1),(433,1)}
        92:{2,3,4,6}:{(56,1),(62,1),(130,1),(134,1),(136,1),(165,1),(384,1)}
        93:{2,4,5,6}:{(57,1),(62,1),(130,1),(137,1),(138,1),(148,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(64,1),(138,1),(139,1),(151,1),(225,1),(320,1),(321,1),(387,1)}
        95:{1,3,4}:{(59,1),(78,1),(131,1),(141,1)}
        96:{1,2,3,6}:{(58,1),(143,1),(154,1),(240,1),(399,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(140,1),(143,1),(391,1)}
        98:{1,2,4,5}:{(59,1),(60,1),(67,1),(79,1),(132,1),(141,1),(145,1)}
        99:{1,4,5,7}:{(60,1),(61,1),(69,1),(146,1),(147,1),(247,1)}
       100:{1,4,6}:{(60,1),(62,1),(70,1),(147,1)}
       101:{2,4,6}:{(61,1),(63,1),(72,1),(146,1),(148,1)}
       102:{2,4,7}:{(62,1),(64,1),(73,1),(147,1)}
       103:{1,3,5,6}:{(63,1),(148,1),(150,1),(151,1),(248,1)}
       104:{1,3,4,6,7}:{(63,1),(64,1),(76,1),(149,1),(151,1),(162,1),(257,1)}
       105:{1,2,3,5,7}:{(65,1),(142,1),(152,1),(153,1),(251,1),(326,1),(397,1),(439,1),(453,1)}
       106:{1,2,4,6,7}:{(65,1),(66,1),(68,1),(143,1),(152,1),(153,1),(154,1),(252,1),(339,1)}
       107:{1,2,5,7}:{(66,1),(67,1),(69,1),(154,1)}
       108:{1,2,5,6}:{(67,1),(70,1),(84,1),(145,1),(154,1),(155,1),(224,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(153,1),(156,1),(157,1),(239,1),(247,1)}
       110:{1,3,6}:{(69,1),(72,1),(146,1),(154,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(147,1),(155,1),(158,1),(241,1),(247,1)}
       112:{2,4,5,7}:{(71,1),(74,1),(156,1),(159,1),(160,1),(258,1),(314,1),(342,1),(385,1)}
       113:{2,3,5,6}:{(71,1),(72,1),(75,1),(148,1),(157,1),(160,1),(248,1),(332,1),(336,1)}
       114:{2,3,6,7}:{(72,1),(73,1),(76,1),(149,1),(158,1),(172,1),(311,1)}
       115:{1,4,6}:{(74,1),(75,1),(160,1)}
       116:{1,3,5,6,7}:{(75,1),(76,1),(77,1),(151,1),(161,1),(162,1),(326,1),(398,1),(400,1)}
       117:{2,3,4,7}:{(78,1),(140,1),(163,1),(164,1),(342,1),(401,1)}
       118:{2,3,5}:{(78,1),(79,1),(141,1),(165,1)}
       119:{2,4,5,7}:{(79,1),(80,1),(164,1),(166,1),(167,1),(258,1),(262,1),(342,1),(402,1),(441,1)}
       120:{2,4,6}:{(79,1),(81,1),(84,1),(165,1),(167,1)}
       121:{1,3,4,6}:{(80,1),(82,1),(146,1),(166,1),(168,1),(240,1),(325,1),(338,1),(341,1)}
       122:{1,3,4,7}:{(81,1),(83,1),(85,1),(147,1),(167,1),(241,1)}
       123:{2,3,5,6}:{(82,1),(148,1),(168,1),(170,1),(171,1),(248,1),(332,1)}
       124:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(149,1),(169,1),(171,1),(174,1),(257,1),(316,1),(339,1),(347,1),(385,1),(404,1)}
       125:{2,5,7}:{(84,1),(85,1),(167,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(171,1),(173,1),(174,1),(176,1),(268,1),(347,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(247,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(249,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(92,1),(93,1),(177,1),(178,1),(355,1)}
       131:{2,3,4}:{(95,1),(180,1)}
       132:{2,4,5}:{(90,1),(180,1),(182,1)}
       133:{1,3,4,5,7}:{(90,1),(91,1),(99,1),(181,1),(183,1),(184,1),(191,1),(278,1),(283,1),(298,1),(352,1),(363,1),(410,1),(412,1),(445,1)}
       134:{1,3,4,6}:{(90,1),(92,1),(100,1),(177,1),(182,1),(184,1),(192,1)}
       135:{2,3,4,6}:{(91,1),(101,1),(183,1),(185,1),(209,1),(212,1),(299,1),(302,1)}
       136:{2,3,4,7}:{(92,1),(102,1),(178,1),(184,1),(213,1),(412,1)}
       137:{1,4,5,6}:{(93,1),(100,1),(177,1),(187,1),(197,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(102,1),(178,1),(187,1),(188,1),(200,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(350,1),(351,1),(408,1)}
       140:{1,3,4,7}:{(95,1),(97,1),(117,1),(179,1),(190,1),(191,1),(363,1),(417,1)}
       141:{1,3,5}:{(95,1),(98,1),(118,1),(180,1),(192,1)}
       142:{1,2,3,5,6}:{(96,1),(105,1),(193,1),(194,1),(204,1),(284,1),(287,1),(296,1),(360,1),(366,1),(421,1),(447,1)}
       143:{1,2,4,6}:{(96,1),(97,1),(190,1),(194,1)}
       144:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(107,1),(119,1),(181,1),(191,1),(194,1),(195,1),(196,1),(283,1),(289,1),(298,1),(363,1),(370,1),(418,1),(448,1)}
       145:{1,2,4,6}:{(98,1),(100,1),(108,1),(120,1),(182,1),(192,1),(196,1)}
       146:{1,4,6}:{(99,1),(101,1),(110,1),(197,1)}
       147:{1,4,7}:{(100,1),(102,1),(111,1)}
       148:{2,5,6}:{(101,1),(103,1),(197,1),(200,1)}
       149:{2,4,6,7}:{(101,1),(102,1),(104,1),(114,1),(198,1),(200,1)}
       150:{1,4,5,6}:{(103,1),(115,1),(199,1),(201,1),(368,1)}
       151:{1,3,5,7}:{(103,1),(104,1),(200,1),(201,1),(292,1)}
       152:{1,2,4,7}:{(105,1),(193,1),(202,1),(363,1),(420,1)}
       153:{1,2,5,7}:{(106,1),(109,1),(194,1),(204,1),(369,1)}
       154:{1,2,6}:{(107,1),(110,1)}
       155:{1,2,5,7}:{(108,1),(111,1),(125,1),(196,1),(205,1),(269,1)}
       156:{1,4,5,7}:{(109,1),(112,1),(207,1),(283,1),(363,1)}
       157:{1,3,5,6}:{(109,1),(110,1),(113,1),(197,1),(204,1),(207,1),(296,1)}
       158:{1,3,6,7}:{(110,1),(111,1),(114,1),(198,1),(205,1)}
       159:{3,4,5,7}:{(112,1),(209,1),(292,1),(301,1),(352,1),(376,1),(412,1)}
       160:{2,4,6}:{(112,1),(113,1),(115,1),(207,1),(209,1)}
       161:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(200,1),(208,1),(210,1),(220,1),(292,1),(303,1),(308,1),(349,1),(354,1),(369,1),(372,1),(408,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(210,1),(363,1)}
       163:{2,3,4,6}:{(117,1),(190,1),(211,1),(212,1),(302,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(119,1),(191,1),(211,1),(212,1),(213,1),(424,1),(449,1)}
       165:{2,3,6}:{(118,1),(120,1),(192,1),(213,1)}
       166:{2,4,6}:{(119,1),(121,1),(212,1),(214,1)}
       167:{2,4,7}:{(120,1),(122,1),(125,1),(213,1)}
       168:{1,3,5,6}:{(121,1),(123,1),(197,1),(214,1),(216,1),(217,1),(304,1),(368,1)}
       169:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(198,1),(215,1),(217,1),(221,1),(285,1),(308,1),(363,1),(373,1),(376,1),(380,1),(426,1)}
       170:{2,4,5,6}:{(123,1),(216,1),(218,1),(219,1),(353,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(200,1),(217,1),(219,1),(292,1),(369,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(217,1),(220,1),(221,1),(308,1),(310,1),(380,1)}
       174:{2,4,6,7}:{(127,1),(219,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(291,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(308,1)}
       177:{1,3,5,6}:{(130,1),(134,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(136,1),(138,1),(225,1),(226,1),(387,1)}
       179:{2,3,4,7}:{(131,1),(140,1),(227,1),(228,1),(385,1),(430,1)}
       180:{2,3,5}:{(131,1),(132,1),(141,1),(229,1)}
       181:{2,4,5,7}:{(132,1),(133,1),(228,1),(230,1),(231,1),(314,1),(318,1),(385,1),(431,1),(452,1)}
       182:{2,4,6}:{(132,1),(134,1),(224,1),(229,1),(231,1)}
       183:{1,3,4,6}:{(133,1),(135,1),(146,1),(230,1),(232,1),(240,1),(325,1),(338,1),(384,1)}
       184:{1,3,4,7}:{(134,1),(136,1),(147,1),(225,1),(231,1),(241,1)}
       185:{2,3,5,6}:{(135,1),(148,1),(232,1),(234,1),(235,1),(248,1),(332,1)}
       186:{2,3,4,6,7}:{(135,1),(136,1),(149,1),(226,1),(233,1),(235,1),(257,1),(260,1),(313,1),(339,1),(342,1),(428,1),(433,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(147,1),(225,1),(236,1),(247,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(311,1)}
       189:{1,3,5,6,7}:{(139,1),(151,1),(237,1),(238,1),(323,1)}
       190:{1,3,4,6}:{(140,1),(143,1),(163,1),(227,1),(239,1),(240,1),(325,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(144,1),(164,1),(228,1),(239,1),(240,1),(241,1),(436,1),(453,1)}
       192:{1,3,6}:{(141,1),(145,1),(165,1),(229,1),(241,1)}
       193:{1,2,4,6}:{(142,1),(152,1),(242,1),(243,1),(325,1),(391,1),(393,1)}
       194:{1,2,5}:{(143,1),(239,1)}
       195:{1,2,4,6}:{(144,1),(146,1),(154,1),(166,1),(230,1),(240,1),(244,1),(325,1),(338,1),(399,1)}
       196:{1,2,4,7}:{(145,1),(147,1),(155,1),(167,1),(231,1),(241,1)}
       197:{1,5,6}:{(146,1),(148,1),(247,1)}
       198:{1,4,6,7}:{(146,1),(147,1),(149,1),(158,1),(247,1)}
       199:{2,4,5,6}:{(148,1),(150,1),(160,1),(246,1),(248,1),(249,1),(332,1)}
       200:{2,5,7}:{(148,1),(149,1),(151,1),(247,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(249,1),(398,1)}
       202:{1,3,4,7}:{(152,1),(242,1),(250,1),(251,1),(453,1)}
       203:{1,2,4,5,7}:{(152,1),(153,1),(156,1),(243,1),(251,1),(252,1),(254,1)}
       204:{1,2,5,6}:{(153,1),(154,1),(157,1),(252,1),(332,1)}
       205:{1,2,6,7}:{(154,1),(155,1),(158,1),(172,1),(311,1)}
       206:{1,3,4,5,7}:{(156,1),(159,1),(251,1),(254,1),(255,1),(324,1),(333,1),(394,1)}
       207:{1,4,6}:{(156,1),(157,1),(160,1)}
       208:{1,3,5,6,7}:{(157,1),(158,1),(161,1),(247,1),(253,1),(256,1),(326,1),(333,1),(337,1)}
       209:{3,4,6}:{(159,1),(160,1),(248,1)}
       210:{2,4,6,7}:{(160,1),(161,1),(162,1),(249,1),(256,1),(257,1),(342,1),(385,1)}
       211:{2,3,5}:{(163,1),(239,1),(258,1)}
       212:{2,3,6}:{(164,1),(166,1),(240,1)}
       213:{2,3,7}:{(165,1),(167,1),(241,1)}
       214:{2,5,6}:{(166,1),(168,1),(262,1)}
       215:{2,4,6,7}:{(166,1),(167,1),(169,1),(172,1),(260,1),(262,1),(342,1),(407,1),(441,1)}
       216:{1,4,5,6}:{(168,1),(170,1),(261,1),(264,1),(325,1)}
       217:{1,3,5,7}:{(168,1),(169,1),(171,1),(247,1),(262,1),(264,1),(344,1),(398,1)}
       218:{3,4,5,6}:{(170,1),(248,1),(265,1),(384,1)}
       219:{2,4,5,7}:{(170,1),(171,1),(174,1),(264,1),(265,1),(385,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(262,1),(266,1),(407,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(264,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(333,1)}
       224:{2,5,6}:{(177,1),(182,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(184,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(408,1)}
       227:{2,3,4,6}:{(179,1),(190,1),(272,1),(273,1),(353,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,6}:{(180,1),(182,1),(192,1),(274,1)}
       230:{2,4,6}:{(181,1),(183,1),(273,1),(275,1)}
       231:{2,4,7}:{(182,1),(184,1),(269,1),(274,1)}
       232:{1,3,5,6}:{(183,1),(185,1),(197,1),(275,1),(277,1),(278,1),(355,1),(368,1)}
       233:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(198,1),(270,1),(276,1),(278,1),(285,1),(350,1),(363,1),(373,1),(408,1),(412,1),(442,1),(445,1)}
       234:{2,4,5,6}:{(185,1),(277,1),(279,1),(280,1),(302,1)}
       235:{2,3,5,7}:{(185,1),(186,1),(200,1),(278,1),(280,1),(292,1),(369,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(200,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(350,1),(416,1)}
       239:{1,3,5}:{(190,1),(194,1),(211,1),(272,1),(283,1)}
       240:{1,3,6}:{(191,1),(195,1),(212,1),(273,1)}
       241:{1,3,7}:{(192,1),(196,1),(213,1),(274,1)}
       242:{1,3,4,6}:{(193,1),(202,1),(286,1),(287,1),(296,1),(417,1),(447,1)}
       243:{1,2,4,5}:{(193,1),(194,1),(283,1),(287,1),(361,1)}
       244:{1,2,5,6}:{(194,1),(195,1),(197,1),(214,1),(275,1),(284,1),(289,1),(368,1)}
       245:{1,2,4,6,7}:{(195,1),(196,1),(198,1),(205,1),(215,1),(276,1),(285,1),(289,1),(363,1),(373,1),(423,1),(448,1)}
       246:{1,4,5,6}:{(197,1),(199,1),(207,1),(290,1),(291,1)}
       247:{1,5,7}:{(197,1),(198,1),(200,1)}
       248:{3,5,6}:{(199,1),(209,1),(292,1)}
       249:{2,4,5,7}:{(199,1),(200,1),(201,1),(210,1),(291,1),(292,1),(369,1)}
       250:{2,3,4,7}:{(202,1),(286,1),(294,1),(295,1),(420,1),(449,1),(454,1)}
       251:{1,3,5,7}:{(202,1),(203,1),(287,1),(295,1),(296,1)}
       252:{1,2,4,6}:{(203,1),(204,1),(207,1),(296,1),(299,1)}
       253:{1,2,5,6,7}:{(204,1),(205,1),(208,1),(220,1),(289,1),(297,1),(310,1),(349,1),(369,1),(416,1)}
       254:{2,4,5,7}:{(206,1),(295,1),(298,1),(299,1),(361,1),(369,1),(420,1)}
       255:{1,3,4,6}:{(206,1),(207,1),(209,1),(290,1),(296,1),(299,1)}
       256:{1,4,6,7}:{(207,1),(208,1),(210,1),(291,1),(363,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(308,1),(376,1),(408,1),(412,1)}
       258:{2,4,5}:{(211,1),(283,1),(301,1),(302,1)}
       259:{2,3,5,6}:{(211,1),(212,1),(214,1),(284,1),(302,1),(303,1),(304,1)}
       260:{2,3,6,7}:{(212,1),(213,1),(215,1),(285,1),(303,1),(308,1),(449,1)}
       261:{2,4,5,6}:{(214,1),(216,1),(302,1),(304,1),(305,1)}
       262:{2,5,7}:{(214,1),(215,1),(217,1)}
       263:{1,3,4,5,6}:{(216,1),(218,1),(290,1),(304,1),(306,1),(307,1),(362,1),(377,1)}
       264:{1,4,5,7}:{(216,1),(217,1),(219,1),(221,1),(305,1),(363,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(412,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(305,1),(308,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(307,1),(308,1),(309,1),(380,1)}
       268:{2,5,6,7}:{(223,1),(309,1),(310,1),(369,1)}
       269:{2,5,7}:{(224,1),(225,1),(231,1),(311,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(311,1)}
       271:{2,3,5,6,7}:{(226,1),(235,1),(237,1),(312,1),(313,1),(323,1),(390,1),(428,1)}
       272:{2,3,5}:{(227,1),(239,1),(314,1)}
       273:{2,3,6}:{(228,1),(230,1),(240,1)}
       274:{2,3,7}:{(229,1),(231,1),(241,1)}
       275:{2,5,6}:{(230,1),(232,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(311,1),(316,1),(318,1),(385,1),(450,1),(452,1)}
       277:{1,4,5,6}:{(232,1),(234,1),(317,1),(320,1),(325,1)}
       278:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(318,1),(320,1),(387,1),(398,1)}
       279:{3,4,5,6}:{(234,1),(248,1),(321,1),(341,1)}
       280:{2,4,5,7}:{(234,1),(235,1),(313,1),(320,1),(321,1),(342,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(247,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(249,1),(313,1),(322,1),(323,1),(381,1),(390,1)}
       283:{1,4,5}:{(239,1),(258,1),(314,1),(325,1)}
       284:{1,3,5,6}:{(239,1),(240,1),(244,1),(259,1),(315,1),(325,1),(326,1)}
       285:{1,3,6,7}:{(240,1),(241,1),(245,1),(260,1),(316,1),(326,1),(453,1)}
       286:{2,3,4,6}:{(242,1),(250,1),(328,1),(329,1),(336,1),(393,1),(401,1),(430,1),(440,1),(451,1)}
       287:{1,3,5}:{(242,1),(243,1),(329,1)}
       288:{1,2,4,5,6}:{(243,1),(244,1),(246,1),(252,1),(261,1),(317,1),(325,1),(330,1),(331,1),(332,1),(345,1),(388,1),(393,1),(405,1),(434,1),(437,1)}
       289:{1,2,5,7}:{(244,1),(245,1),(247,1),(262,1),(318,1),(326,1),(398,1)}
       290:{1,3,5,6}:{(246,1),(248,1),(255,1),(332,1),(333,1)}
       291:{1,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(333,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,3,7}:{(327,1),(334,1),(453,1)}
       294:{1,3,4,7}:{(250,1),(328,1),(334,1),(335,1),(438,1),(453,1)}
       295:{2,3,5,7}:{(250,1),(251,1),(254,1),(329,1),(335,1),(336,1)}
       296:{1,3,6}:{(251,1),(252,1),(336,1)}
       297:{1,2,4,6,7}:{(252,1),(253,1),(256,1),(266,1),(331,1),(337,1),(339,1),(348,1),(381,1),(407,1),(429,1),(450,1)}
       298:{1,4,5,7}:{(254,1),(335,1),(338,1),(392,1),(398,1),(438,1)}
       299:{2,4,6}:{(254,1),(255,1),(332,1),(336,1),(338,1)}
       300:{1,3,4,6,7}:{(255,1),(256,1),(257,1),(333,1),(337,1),(339,1),(394,1)}
       301:{3,4,5}:{(258,1),(341,1)}
       302:{2,4,6}:{(258,1),(259,1),(325,1),(341,1),(342,1)}
       303:{2,3,5,7}:{(259,1),(260,1),(262,1),(326,1),(342,1),(344,1)}
       304:{3,5,6}:{(261,1),(341,1),(344,1)}
       305:{2,4,5,7}:{(261,1),(262,1),(264,1),(266,1),(342,1),(344,1)}
       306:{2,4,5,6}:{(263,1),(332,1),(343,1),(345,1),(346,1),(393,1),(405,1)}
       307:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(333,1),(344,1),(346,1),(394,1),(406,1)}
       308:{3,6,7}:{(266,1),(344,1)}
       309:{2,4,6,7}:{(267,1),(268,1),(346,1),(347,1),(348,1),(407,1)}
       310:{1,5,6,7}:{(268,1),(348,1),(398,1)}
       311:{2,6,7}:{(269,1),(270,1)}
       312:{1,3,5,6,7}:{(270,1),(271,1),(278,1),(281,1),(349,1),(350,1),(408,1),(416,1),(442,1)}
       313:{2,4,6,7}:{(271,1),(280,1),(350,1),(351,1)}
       314:{2,4,5}:{(272,1),(283,1),(352,1),(353,1)}
       315:{2,3,5,6}:{(272,1),(273,1),(275,1),(284,1),(353,1),(354,1),(355,1)}
       316:{2,3,6,7}:{(273,1),(274,1),(276,1),(285,1),(354,1),(408,1),(454,1)}
       317:{2,4,5,6}:{(275,1),(277,1),(353,1),(355,1),(356,1)}
       318:{2,5,7}:{(275,1),(276,1),(278,1)}
       319:{1,3,4,5,6}:{(277,1),(279,1),(290,1),(355,1),(357,1),(358,1),(362,1),(413,1)}
       320:{1,4,5,7}:{(277,1),(278,1),(280,1),(350,1),(356,1),(363,1)}
       321:{3,4,5,7}:{(279,1),(280,1),(292,1),(351,1),(376,1)}
       322:{1,4,5,6,7}:{(281,1),(282,1),(291,1),(350,1),(359,1)}
       323:{3,5,6,7}:{(282,1),(292,1),(351,1),(408,1)}
       324:{1,3,4,5}:{(283,1),(287,1),(301,1),(352,1),(361,1),(362,1)}
       325:{1,4,6}:{(283,1),(284,1),(302,1),(353,1),(363,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(303,1),(354,1),(363,1)}
       327:{1,2,3,6}:{(293,1),(360,1),(364,1),(447,1)}
       328:{1,3,4,6}:{(286,1),(294,1),(364,1),(365,1),(371,1),(417,1),(419,1),(447,1)}
       329:{2,3,5}:{(286,1),(287,1),(361,1),(365,1)}
       330:{1,3,5,6}:{(287,1),(288,1),(296,1),(304,1),(355,1),(362,1),(366,1),(367,1),(447,1)}
       331:{1,2,4,5,7}:{(288,1),(289,1),(291,1),(297,1),(305,1),(356,1),(363,1),(367,1),(369,1),(379,1),(415,1),(420,1),(427,1),(446,1),(448,1)}
       332:{2,5,6}:{(290,1),(299,1),(368,1),(369,1)}
       333:{1,3,5,7}:{(290,1),(291,1),(292,1),(300,1),(369,1)}
       334:{1,2,4,7}:{(293,1),(294,1),(364,1),(370,1)}
       335:{1,3,5,7}:{(294,1),(295,1),(298,1),(365,1),(370,1),(371,1)}
       336:{2,3,6}:{(295,1),(296,1),(299,1),(371,1)}
       337:{1,3,6,7}:{(296,1),(297,1),(308,1),(367,1),(372,1),(408,1)}
       338:{1,4,6}:{(298,1),(299,1),(368,1),(371,1)}
       339:{2,4,6,7}:{(299,1),(300,1),(369,1),(372,1),(373,1),(420,1)}
       340:{2,3,4,5}:{(301,1),(361,1),(374,1),(375,1),(443,1)}
       341:{3,4,6}:{(301,1),(302,1),(304,1),(376,1)}
       342:{2,4,7}:{(302,1),(303,1),(363,1),(376,1)}
       343:{2,3,5,6}:{(304,1),(306,1),(375,1),(377,1),(378,1)}
       344:{3,5,7}:{(304,1),(305,1),(308,1),(376,1)}
       345:{1,4,5,6}:{(306,1),(368,1),(377,1),(379,1),(419,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(309,1),(369,1),(378,1),(379,1),(420,1),(427,1)}
       347:{2,3,6,7}:{(308,1),(309,1),(378,1),(380,1)}
       348:{1,4,6,7}:{(309,1),(310,1),(379,1),(380,1)}
       349:{2,5,6,7}:{(311,1),(312,1),(318,1),(381,1),(450,1)}
       350:{1,4,6,7}:{(312,1),(313,1),(320,1),(381,1)}
       351:{3,4,6,7}:{(313,1),(321,1),(323,1)}
       352:{3,4,5}:{(314,1),(384,1)}
       353:{2,4,6}:{(314,1),(315,1),(325,1),(384,1),(385,1)}
       354:{2,3,5,7}:{(315,1),(316,1),(318,1),(326,1),(385,1),(387,1)}
       355:{3,5,6}:{(317,1),(384,1),(387,1)}
       356:{2,4,5,7}:{(317,1),(318,1),(320,1),(381,1),(385,1),(387,1)}
       357:{2,4,5,6}:{(319,1),(332,1),(386,1),(388,1),(389,1),(393,1),(434,1)}
       358:{1,3,4,5,7}:{(319,1),(320,1),(321,1),(333,1),(382,1),(387,1),(389,1),(394,1),(435,1)}
       359:{1,3,5,6,7}:{(322,1),(323,1),(333,1),(382,1),(390,1)}
       360:{1,2,3,5}:{(327,1),(391,1),(395,1),(436,1)}
       361:{2,4,5}:{(324,1),(329,1),(392,1),(393,1)}
       362:{1,3,4,6}:{(324,1),(325,1),(330,1),(341,1),(384,1),(393,1),(394,1)}
       363:{1,4,7}:{(325,1),(326,1),(342,1),(385,1)}
       364:{1,2,4,6}:{(327,1),(328,1),(334,1),(391,1),(395,1),(399,1)}
       365:{1,3,5}:{(328,1),(329,1),(392,1),(395,1)}
       366:{2,3,5,6}:{(329,1),(330,1),(332,1),(336,1),(393,1),(396,1),(397,1),(405,1),(434,1),(440,1),(451,1)}
       367:{1,3,5,7}:{(330,1),(331,1),(337,1),(344,1),(387,1),(394,1),(397,1),(453,1)}
       368:{1,5,6}:{(332,1),(338,1),(398,1)}
       369:{2,5,7}:{(332,1),(333,1),(339,1),(398,1)}
       370:{1,2,5,7}:{(334,1),(335,1),(395,1),(399,1)}
       371:{1,3,6}:{(335,1),(336,1),(338,1),(399,1)}
       372:{2,3,6,7}:{(336,1),(337,1),(339,1),(397,1),(400,1),(407,1),(450,1)}
       373:{1,4,6,7}:{(338,1),(339,1),(398,1),(400,1),(438,1)}
       374:{1,3,4,5}:{(340,1),(392,1),(402,1),(403,1),(436,1)}
       375:{2,3,4,6}:{(340,1),(341,1),(343,1),(393,1),(403,1),(404,1),(451,1)}
       376:{3,4,7}:{(341,1),(342,1),(344,1)}
       377:{1,3,5,6}:{(343,1),(345,1),(403,1),(405,1),(406,1)}
       378:{2,3,5,7}:{(343,1),(344,1),(346,1),(347,1),(404,1),(406,1)}
       379:{1,4,5,7}:{(345,1),(346,1),(348,1),(398,1),(406,1),(438,1)}
       380:{1,3,6,7}:{(347,1),(348,1),(406,1),(407,1)}
       381:{2,4,6,7}:{(349,1),(350,1),(356,1),(408,1)}
       382:{1,3,4,6,7}:{(350,1),(351,1),(358,1),(359,1),(408,1),(409,1),(442,1)}
       383:{2,3,4,5}:{(352,1),(361,1),(410,1),(411,1),(424,1)}
       384:{3,4,6}:{(352,1),(353,1),(355,1),(412,1)}
       385:{2,4,7}:{(353,1),(354,1),(363,1),(412,1)}
       386:{2,3,5,6}:{(355,1),(357,1),(411,1),(413,1),(414,1)}
       387:{3,5,7}:{(355,1),(356,1),(408,1),(412,1)}
       388:{1,4,5,6}:{(357,1),(368,1),(413,1),(415,1),(419,1)}
       389:{2,4,5,7}:{(357,1),(358,1),(369,1),(409,1),(414,1),(415,1),(420,1),(446,1)}
       390:{2,5,6,7}:{(359,1),(369,1),(409,1),(416,1)}
       391:{1,2,4}:{(360,1),(417,1)}
       392:{1,4,5}:{(361,1),(365,1),(419,1)}
       393:{2,4,6}:{(361,1),(362,1),(366,1),(419,1),(420,1)}
       394:{1,3,4,7}:{(362,1),(363,1),(367,1),(376,1),(412,1),(420,1)}
       395:{1,2,5}:{(364,1),(365,1)}
       396:{1,3,5,6}:{(365,1),(366,1),(368,1),(371,1),(419,1),(421,1),(422,1),(447,1)}
       397:{2,3,5,7}:{(366,1),(367,1),(369,1),(372,1),(420,1),(422,1),(427,1),(446,1),(449,1),(454,1)}
       398:{1,5,7}:{(368,1),(369,1),(373,1)}
       399:{1,2,6}:{(370,1),(371,1)}
       400:{1,3,6,7}:{(371,1),(372,1),(373,1),(422,1),(423,1)}
       401:{2,3,4}:{(417,1),(424,1)}
       402:{2,4,5}:{(374,1),(424,1),(425,1)}
       403:{1,3,4,6}:{(374,1),(375,1),(377,1),(419,1),(425,1),(426,1),(447,1)}
       404:{2,3,4,7}:{(375,1),(376,1),(378,1),(420,1),(426,1),(454,1)}
       405:{2,5,6}:{(377,1),(425,1),(427,1)}
       406:{1,3,5,7}:{(377,1),(378,1),(379,1),(380,1),(426,1),(427,1)}
       407:{2,6,7}:{(380,1),(427,1)}
       408:{3,6,7}:{(381,1),(387,1)}
       409:{2,4,6,7}:{(382,1),(389,1),(390,1),(428,1),(429,1),(450,1)}
       410:{1,3,4,5}:{(383,1),(392,1),(431,1),(432,1),(436,1)}
       411:{2,3,4,6}:{(383,1),(384,1),(386,1),(393,1),(432,1),(433,1),(440,1)}
       412:{3,4,7}:{(384,1),(385,1),(387,1)}
       413:{1,3,5,6}:{(386,1),(388,1),(432,1),(434,1),(435,1)}
       414:{2,3,5,7}:{(386,1),(387,1),(389,1),(428,1),(433,1),(435,1)}
       415:{1,4,5,7}:{(388,1),(389,1),(398,1),(429,1),(435,1),(438,1)}
       416:{1,5,6,7}:{(390,1),(398,1),(429,1)}
       417:{1,3,4}:{(391,1),(401,1),(430,1),(436,1)}
       418:{1,2,4,5}:{(391,1),(392,1),(395,1),(402,1),(431,1),(436,1),(437,1)}
       419:{1,4,6}:{(392,1),(393,1),(396,1),(438,1)}
       420:{2,4,7}:{(393,1),(394,1),(397,1),(438,1)}
       421:{1,2,5,6}:{(395,1),(396,1),(399,1),(405,1),(434,1),(437,1),(439,1)}
       422:{1,3,5,7}:{(396,1),(397,1),(398,1),(400,1),(438,1),(439,1),(453,1)}
       423:{1,2,6,7}:{(399,1),(400,1),(407,1),(439,1),(450,1)}
       424:{2,3,5}:{(401,1),(402,1),(436,1),(440,1)}
       425:{2,4,6}:{(402,1),(403,1),(405,1),(440,1),(441,1)}
       426:{1,3,4,7}:{(403,1),(404,1),(406,1),(438,1),(441,1),(453,1)}
       427:{2,5,7}:{(405,1),(406,1),(407,1),(441,1)}
       428:{2,3,6,7}:{(408,1),(409,1),(414,1),(442,1)}
       429:{1,4,6,7}:{(409,1),(415,1),(416,1),(442,1)}
       430:{2,3,4}:{(417,1),(443,1)}
       431:{2,4,5}:{(410,1),(443,1),(444,1)}
       432:{1,3,4,6}:{(410,1),(411,1),(413,1),(419,1),(444,1),(445,1),(447,1)}
       433:{2,3,4,7}:{(411,1),(412,1),(414,1),(420,1),(445,1),(449,1)}
       434:{2,5,6}:{(413,1),(444,1),(446,1)}
       435:{1,3,5,7}:{(413,1),(414,1),(415,1),(442,1),(445,1),(446,1)}
       436:{1,3,5}:{(417,1),(418,1),(424,1),(443,1),(447,1)}
       437:{1,2,4,6}:{(418,1),(419,1),(421,1),(425,1),(444,1),(447,1),(448,1)}
       438:{1,4,7}:{(419,1),(420,1),(422,1)}
       439:{1,2,5,7}:{(421,1),(422,1),(423,1),(427,1),(446,1),(448,1)}
       440:{2,3,6}:{(424,1),(425,1),(447,1),(449,1)}
       441:{2,4,7}:{(425,1),(426,1),(427,1),(449,1)}
       442:{1,3,6,7}:{(428,1),(429,1),(435,1),(450,1)}
       443:{2,3,5}:{(430,1),(431,1),(436,1),(451,1)}
       444:{2,4,6}:{(431,1),(432,1),(434,1),(451,1),(452,1)}
       445:{1,3,4,7}:{(432,1),(433,1),(435,1),(438,1),(452,1),(453,1)}
       446:{2,5,7}:{(434,1),(435,1),(450,1),(452,1)}
       447:{1,3,6}:{(436,1),(437,1),(440,1),(451,1),(453,1)}
       448:{1,2,4,7}:{(437,1),(438,1),(439,1),(441,1),(452,1),(453,1)}
       449:{2,3,7}:{(440,1),(441,1),(453,1)}
       450:{2,6,7}:{(442,1),(446,1)}
       451:{2,3,6}:{(443,1),(444,1),(447,1),(454,1)}
       452:{2,4,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{1,3,7}:{(447,1),(448,1),(449,1),(454,1)}
       454:{2,3,7}:{(451,1),(452,1),(453,1)}

2267 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2268 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2269 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2270 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2271 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2272 :   0:{2,3,4,5,6}:{(1,1),(2,1),(21,1),(94,1),(143,1),(149,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(12,1),(113,1),(130,1),(131,1),(156,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(36,1),(128,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(132,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(23,1),(106,1),(108,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(55,1),(104,1),(143,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(13,1),(35,1),(66,1),(119,1),(127,1),(130,1)}
         7:{2,3,5,6}:{(3,1),(12,1),(14,1),(15,1),(111,1),(154,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(15,1),(16,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(16,1),(17,1),(39,1),(81,1),(84,1),(156,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(161,1)}
        11:{2,3,4,5,6}:{(19,1),(20,1),(25,1),(59,1),(85,1),(185,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(90,1),(140,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(54,1),(103,1),(106,1)}
        14:{2,3,4,6}:{(7,1),(22,1),(25,1),(26,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(23,1),(26,1),(27,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(167,1)}
        17:{1,3,5,6,7}:{(9,1),(10,1),(28,1),(29,1),(62,1),(172,1)}
        18:{2,4,5,6,7}:{(10,1),(29,1),(30,1),(104,1),(175,1)}
        19:{1,3,4,5,6}:{(11,1),(32,1),(33,1),(37,1),(63,1),(79,1),(183,1),(184,1)}
        20:{2,3,4,5,7}:{(11,1),(33,1),(34,1),(110,1),(179,1)}
        21:{2,3,5,6}:{(12,1),(35,1),(36,1),(74,1),(125,1),(127,1)}
        22:{1,3,4,6}:{(12,1),(14,1),(35,1),(37,1),(38,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(15,1),(36,1),(38,1),(39,1)}
        24:{1,2,4,6,7}:{(13,1),(16,1),(39,1),(40,1),(77,1),(81,1),(119,1)}
        25:{2,3,4,5}:{(14,1),(37,1),(111,1)}
        26:{2,3,4,7}:{(14,1),(15,1),(38,1)}
        27:{2,3,6,7}:{(15,1),(16,1),(39,1),(154,1)}
        28:{2,5,6,7}:{(16,1),(17,1),(178,1)}
        29:{1,4,5,6,7}:{(17,1),(18,1),(44,1),(81,1),(183,1)}
        30:{3,4,5,6,7}:{(18,1),(129,1),(184,1)}
        31:{1,2,3,5,6}:{(21,1),(46,1),(47,1),(85,1),(90,1),(140,1),(142,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(49,1),(53,1),(102,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(49,1),(50,1),(88,1),(173,1),(176,1)}
        34:{2,3,4,6,7}:{(20,1),(50,1),(51,1),(59,1),(134,1),(169,1)}
        35:{2,4,6}:{(21,1),(22,1),(53,1),(54,1)}
        36:{2,3,5,7}:{(21,1),(23,1),(54,1),(55,1),(103,1)}
        37:{1,3,4,5}:{(22,1),(25,1),(53,1),(90,1)}
        38:{1,3,4,7}:{(22,1),(23,1),(26,1),(54,1)}
        39:{1,3,6,7}:{(23,1),(24,1),(27,1),(55,1),(140,1)}
        40:{1,2,5,6,7}:{(24,1),(28,1),(58,1),(103,1),(142,1)}
        41:{2,3,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(60,1),(135,1),(171,1)}
        42:{2,3,4,6,7}:{(26,1),(27,1),(57,1),(59,1),(60,1),(61,1)}
        43:{2,3,5,6,7}:{(27,1),(28,1),(58,1),(60,1),(61,1),(62,1),(170,1)}
        44:{2,4,5,6,7}:{(28,1),(29,1),(61,1),(62,1),(185,1)}
        45:{1,2,4,5,6}:{(32,1),(63,1),(64,1),(66,1),(109,1),(119,1),(178,1),(183,1)}
        46:{1,2,4,6}:{(31,1),(35,1),(65,1),(66,1),(67,1),(109,1)}
        47:{1,2,3,5,7}:{(31,1),(36,1),(67,1),(68,1),(110,1),(117,1),(120,1)}
        48:{2,3,5,6}:{(32,1),(63,1),(69,1),(70,1),(74,1),(125,1)}
        49:{2,4,5,7}:{(32,1),(33,1),(70,1),(71,1)}
        50:{1,3,4,6,7}:{(33,1),(34,1),(71,1),(72,1),(79,1),(115,1),(158,1),(163,1)}
        51:{2,3,5,6,7}:{(34,1),(72,1),(73,1),(82,1)}
        52:{2,3,4,6}:{(35,1),(65,1),(74,1),(75,1),(125,1)}
        53:{2,4,5}:{(35,1),(37,1),(74,1)}
        54:{2,4,7}:{(35,1),(36,1),(38,1)}
        55:{2,3,6,7}:{(36,1),(39,1),(77,1),(125,1)}
        56:{1,3,4,5,7}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(117,1),(160,1),(165,1)}
        57:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(77,1),(79,1),(80,1),(81,1),(129,1)}
        58:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(78,1),(80,1),(81,1),(159,1)}
        59:{2,3,4,6}:{(41,1),(79,1),(82,1),(154,1),(181,1)}
        60:{2,3,5,7}:{(42,1),(80,1),(82,1),(83,1)}
        61:{2,4,6,7}:{(43,1),(81,1),(83,1),(84,1),(181,1)}
        62:{3,5,6,7}:{(44,1),(84,1),(188,1)}
        63:{1,3,5,6}:{(45,1),(48,1),(85,1),(87,1),(88,1),(90,1),(140,1)}
        64:{1,2,4,5,7}:{(45,1),(49,1),(88,1),(89,1),(133,1),(168,1),(173,1)}
        65:{1,3,4,6}:{(46,1),(52,1),(86,1),(90,1),(91,1),(140,1)}
        66:{1,2,4,5}:{(46,1),(53,1),(90,1),(132,1)}
        67:{1,2,4,7}:{(46,1),(47,1),(54,1),(91,1),(133,1)}
        68:{1,2,3,6,7}:{(47,1),(55,1),(93,1),(134,1),(140,1)}
        69:{2,3,4,6}:{(48,1),(87,1),(94,1),(95,1)}
        70:{2,3,5,7}:{(48,1),(49,1),(88,1),(95,1),(96,1)}
        71:{2,4,6,7}:{(49,1),(50,1),(96,1),(97,1),(102,1)}
        72:{1,3,5,6,7}:{(50,1),(51,1),(97,1),(98,1),(105,1),(146,1)}
        73:{2,4,5,6,7}:{(51,1),(98,1),(99,1),(107,1),(169,1)}
        74:{2,3,5}:{(52,1),(53,1),(90,1)}
        75:{2,3,4,7}:{(52,1),(54,1),(91,1),(100,1)}
        76:{2,4,5,7}:{(53,1),(54,1),(56,1),(100,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(54,1),(55,1),(57,1),(102,1),(103,1)}
        78:{2,3,5,6,7}:{(55,1),(58,1),(103,1),(104,1),(147,1),(150,1)}
        79:{1,3,4,6}:{(56,1),(59,1),(102,1),(105,1),(140,1),(174,1),(177,1)}
        80:{1,3,5,7}:{(57,1),(60,1),(103,1),(105,1),(106,1),(150,1)}
        81:{1,4,6,7}:{(58,1),(61,1),(104,1),(106,1),(174,1)}
        82:{2,3,5,6}:{(59,1),(60,1),(105,1),(107,1)}
        83:{2,4,5,7}:{(60,1),(61,1),(106,1),(107,1),(108,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(108,1),(187,1)}
        85:{2,3,5,6}:{(63,1),(109,1),(110,1),(111,1),(154,1),(178,1)}
        86:{2,3,4,6}:{(65,1),(109,1),(111,1),(112,1),(154,1)}
        87:{1,3,4,6}:{(63,1),(69,1),(109,1),(113,1),(114,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(70,1),(110,1),(114,1),(115,1)}
        89:{1,2,4,6,7}:{(64,1),(71,1),(115,1),(116,1),(119,1),(152,1),(158,1)}
        90:{1,3,5}:{(65,1),(66,1),(74,1),(111,1)}
        91:{1,3,4,7}:{(65,1),(67,1),(75,1),(112,1),(117,1)}
        92:{1,2,4,5,7}:{(66,1),(67,1),(76,1),(117,1),(119,1),(120,1),(151,1),(160,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(77,1),(118,1),(119,1),(120,1),(152,1)}
        94:{2,3,4,5}:{(69,1),(74,1),(113,1)}
        95:{2,3,4,7}:{(69,1),(70,1),(114,1)}
        96:{2,3,6,7}:{(70,1),(71,1),(115,1),(125,1)}
        97:{2,5,6,7}:{(71,1),(72,1),(127,1)}
        98:{1,4,5,6,7}:{(72,1),(73,1),(124,1),(130,1),(158,1)}
        99:{3,4,5,6,7}:{(73,1),(131,1),(180,1)}
       100:{2,3,5,7}:{(74,1),(75,1),(76,1),(117,1),(125,1)}
       101:{2,3,4,6,7}:{(75,1),(77,1),(118,1),(125,1),(126,1),(129,1),(164,1)}
       102:{2,4,6}:{(76,1),(79,1),(125,1),(127,1)}
       103:{2,5,7}:{(77,1),(80,1),(127,1)}
       104:{2,4,6,7}:{(78,1),(81,1),(128,1),(129,1),(164,1)}
       105:{1,3,5,6}:{(79,1),(80,1),(82,1),(127,1),(130,1),(166,1)}
       106:{1,4,5,7}:{(80,1),(81,1),(83,1),(128,1),(130,1)}
       107:{2,4,5,6}:{(82,1),(83,1),(130,1),(131,1),(181,1)}
       108:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       109:{2,4,6}:{(85,1),(87,1),(132,1),(133,1)}
       110:{2,3,5,7}:{(85,1),(88,1),(133,1),(134,1),(168,1)}
       111:{2,3,5}:{(86,1),(90,1),(132,1)}
       112:{2,3,4,7}:{(86,1),(91,1),(133,1),(135,1)}
       113:{1,3,4,5}:{(87,1),(90,1),(94,1),(132,1)}
       114:{1,3,4,7}:{(87,1),(88,1),(95,1),(133,1)}
       115:{1,3,6,7}:{(88,1),(89,1),(96,1),(134,1),(140,1)}
       116:{1,2,5,6,7}:{(89,1),(97,1),(139,1),(142,1),(168,1)}
       117:{1,3,5,7}:{(90,1),(91,1),(92,1),(100,1),(135,1),(140,1)}
       118:{1,3,4,6,7}:{(91,1),(93,1),(101,1),(136,1),(140,1),(141,1),(174,1)}
       119:{1,2,4,6}:{(92,1),(102,1),(140,1),(142,1),(167,1),(174,1)}
       120:{1,2,5,7}:{(93,1),(103,1),(141,1),(142,1),(168,1)}
       121:{2,3,4,5,7}:{(94,1),(95,1),(100,1),(137,1),(143,1),(144,1),(148,1)}
       122:{2,3,4,6,7}:{(95,1),(96,1),(138,1),(143,1),(144,1),(145,1)}
       123:{2,3,5,6,7}:{(96,1),(97,1),(139,1),(144,1),(145,1),(146,1),(147,1)}
       124:{2,4,5,6,7}:{(97,1),(98,1),(145,1),(146,1),(149,1)}
       125:{2,3,6}:{(100,1),(102,1),(140,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(141,1),(147,1),(148,1),(150,1)}
       127:{2,5,6}:{(102,1),(103,1),(105,1)}
       128:{2,4,5,7}:{(103,1),(104,1),(106,1),(149,1),(150,1)}
       129:{3,4,6,7}:{(104,1),(150,1),(177,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(107,1),(149,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,4,5}:{(109,1),(111,1),(113,1)}
       133:{2,4,7}:{(109,1),(110,1),(114,1)}
       134:{2,3,6,7}:{(110,1),(115,1),(152,1),(154,1)}
       135:{2,3,5,7}:{(111,1),(112,1),(117,1),(151,1),(154,1)}
       136:{2,3,4,6,7}:{(112,1),(118,1),(152,1),(154,1),(155,1),(180,1),(181,1)}
       137:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(121,1),(151,1),(156,1),(157,1),(160,1),(182,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(152,1),(156,1),(157,1),(158,1),(180,1)}
       139:{1,3,5,6,7}:{(115,1),(116,1),(123,1),(153,1),(157,1),(158,1),(159,1)}
       140:{1,3,6}:{(117,1),(119,1),(125,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(126,1),(155,1),(159,1),(160,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(127,1),(159,1),(178,1)}
       143:{2,3,4,6}:{(121,1),(125,1),(156,1),(161,1),(164,1)}
       144:{2,3,5,7}:{(122,1),(157,1),(161,1),(162,1)}
       145:{2,4,6,7}:{(123,1),(158,1),(162,1),(163,1),(164,1)}
       146:{3,5,6,7}:{(124,1),(163,1),(166,1)}
       147:{2,3,5,6}:{(125,1),(126,1),(127,1),(159,1),(164,1),(166,1)}
       148:{2,4,5,7}:{(126,1),(160,1),(164,1),(165,1)}
       149:{2,4,5,6}:{(127,1),(128,1),(130,1),(164,1),(166,1)}
       150:{3,5,7}:{(128,1),(129,1),(166,1)}
       151:{2,4,5,7}:{(132,1),(133,1),(135,1),(137,1),(167,1),(168,1)}
       152:{2,4,6,7}:{(133,1),(134,1),(138,1),(167,1),(168,1)}
       153:{2,3,5,6,7}:{(134,1),(139,1),(168,1),(169,1),(170,1),(186,1)}
       154:{2,3,6}:{(135,1),(140,1),(167,1)}
       155:{2,3,5,7}:{(136,1),(141,1),(168,1),(170,1),(171,1),(186,1)}
       156:{1,3,4,6}:{(137,1),(140,1),(143,1),(167,1),(172,1),(174,1),(187,1)}
       157:{1,3,5,7}:{(138,1),(144,1),(168,1),(172,1),(173,1),(186,1)}
       158:{1,4,6,7}:{(139,1),(145,1),(169,1),(173,1),(174,1)}
       159:{1,3,5,6}:{(140,1),(141,1),(142,1),(147,1),(170,1),(174,1)}
       160:{1,4,5,7}:{(141,1),(148,1),(171,1),(174,1)}
       161:{2,3,5,6}:{(143,1),(144,1),(172,1),(175,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(173,1),(175,1),(176,1)}
       163:{3,4,6,7}:{(145,1),(146,1),(176,1),(177,1)}
       164:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,5,7}:{(148,1),(150,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6}:{(151,1),(154,1),(156,1),(178,1)}
       168:{2,5,7}:{(152,1),(157,1),(178,1)}
       169:{2,4,6,7}:{(153,1),(158,1),(179,1),(180,1),(181,1)}
       170:{2,3,5,6}:{(154,1),(155,1),(159,1),(178,1),(181,1),(188,1)}
       171:{2,4,5,7}:{(155,1),(160,1),(181,1),(182,1)}
       172:{1,3,5,6}:{(156,1),(157,1),(161,1),(178,1),(183,1),(188,1)}
       173:{1,4,5,7}:{(157,1),(158,1),(162,1),(179,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(164,1),(181,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(164,1),(183,1),(184,1)}
       176:{3,4,5,7}:{(162,1),(163,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{2,5,6}:{(167,1),(168,1),(172,1)}
       179:{2,4,5,7}:{(168,1),(169,1),(173,1),(185,1),(186,1)}
       180:{3,4,6,7}:{(169,1),(186,1),(187,1)}
       181:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       182:{3,4,5,7}:{(171,1),(186,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(175,1),(185,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{2,4,5,6}:{(178,1),(179,1),(181,1),(183,1),(188,1)}
       186:{3,5,7}:{(179,1),(180,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2273 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2274 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(53,1),(55,1),(135,1),(136,1),(231,1),(243,1),(247,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(38,1),(39,1),(87,1),(93,1),(194,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(39,1),(48,1),(88,1),(107,1),(116,1),(187,1),(210,1),(217,1),(296,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(92,1),(189,1),(282,1),(299,1)}
         4:{1,2,3,6}:{(1,1),(17,1),(70,1),(246,1)}
         5:{1,2,4,7}:{(1,1),(17,1),(18,1),(131,1)}
         6:{2,4,5,6,7}:{(14,1),(20,1),(60,1),(72,1),(232,1),(329,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(241,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(340,1)}
         9:{2,3,4,7}:{(18,1),(23,1),(26,1),(132,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(133,1),(168,1),(240,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(70,1),(157,1),(165,1),(338,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(72,1),(135,1),(139,1),(142,1),(243,1),(328,1),(341,1)}
        13:{1,2,3,6,7}:{(4,1),(31,1),(32,1),(93,1),(111,1),(170,1),(198,1),(298,1),(300,1),(360,1)}
        14:{1,4,5,6,7}:{(6,1),(29,1),(33,1),(99,1),(112,1),(179,1),(303,1)}
        15:{1,2,3,5,6}:{(4,1),(31,1),(34,1),(38,1),(87,1),(98,1),(104,1),(108,1),(170,1),(198,1),(203,1),(205,1),(269,1),(288,1),(351,1)}
        16:{1,3,4,5,6}:{(7,1),(35,1),(36,1),(44,1),(82,1),(102,1),(117,1),(172,1),(207,1),(274,1),(301,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(37,1),(38,1)}
        18:{1,3,4,7}:{(5,1),(9,1),(30,1),(37,1),(39,1),(183,1),(210,1)}
        19:{1,2,4,5,7}:{(5,1),(10,1),(38,1),(39,1),(40,1),(91,1),(107,1),(109,1),(184,1),(194,1),(210,1),(289,1),(296,1)}
        20:{3,5,6,7}:{(6,1),(41,1),(283,1),(363,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(189,1)}
        22:{3,4,5,7}:{(7,1),(41,1),(45,1),(293,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(37,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(371,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(373,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(39,1),(46,1),(50,1),(185,1),(291,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(111,1),(112,1),(187,1),(196,1),(210,1),(213,1),(217,1),(372,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(60,1),(128,1),(162,1),(265,1)}
        30:{2,3,4,7}:{(18,1),(54,1),(55,1),(235,1),(243,1)}
        31:{1,2,3,5,7}:{(13,1),(15,1),(56,1),(59,1),(143,1),(158,1),(256,1),(258,1),(333,1),(380,1)}
        32:{1,2,4,6,7}:{(13,1),(17,1),(56,1),(58,1),(59,1),(140,1),(144,1),(220,1),(246,1),(341,1)}
        33:{1,3,5,6,7}:{(14,1),(20,1),(52,1),(57,1),(60,1),(342,1)}
        34:{1,2,4,6}:{(15,1),(56,1),(63,1),(64,1),(131,1),(157,1),(257,1),(379,1)}
        35:{2,4,5,6}:{(16,1),(62,1),(65,1),(66,1),(152,1),(257,1),(340,1)}
        36:{1,3,4,5,7}:{(16,1),(22,1),(57,1),(66,1),(76,1),(124,1),(153,1),(166,1),(225,1),(260,1),(320,1),(342,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(54,1),(67,1),(70,1),(157,1)}
        38:{1,2,5}:{(17,1),(67,1)}
        39:{1,3,5,7}:{(18,1),(19,1),(26,1),(55,1),(67,1),(70,1),(236,1),(333,1)}
        40:{1,2,4,6}:{(19,1),(27,1),(68,1),(70,1),(138,1),(157,1),(246,1),(338,1)}
        41:{3,4,6,7}:{(20,1),(22,1),(72,1)}
        42:{2,3,4,6,7}:{(23,1),(58,1),(73,1),(81,1),(141,1),(163,1),(168,1),(248,1),(264,1),(313,1),(341,1),(385,1),(413,1)}
        43:{2,3,5,6,7}:{(20,1),(25,1),(60,1),(72,1),(74,1),(142,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(157,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(72,1),(76,1),(243,1)}
        46:{2,3,5}:{(23,1),(67,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(394,1)}
        49:{2,3,4,5,7}:{(26,1),(69,1),(77,1),(80,1),(161,1),(168,1),(169,1),(238,1),(247,1),(335,1)}
        50:{2,3,6}:{(26,1),(27,1),(70,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(240,1),(249,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(213,1),(310,1)}
        53:{2,3,4,5}:{(88,1),(89,1),(116,1),(204,1),(273,1),(286,1)}
        54:{2,3,4,6}:{(30,1),(37,1),(90,1),(92,1),(189,1)}
        55:{2,3,5,7}:{(30,1),(39,1),(90,1),(91,1),(92,1),(286,1),(366,1)}
        56:{1,2,4,7}:{(31,1),(34,1),(94,1),(210,1),(307,1),(401,1)}
        57:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(84,1),(96,1),(112,1),(179,1),(196,1),(213,1),(283,1)}
        58:{1,3,4,6,7}:{(32,1),(37,1),(42,1),(85,1),(94,1),(97,1),(111,1),(193,1),(198,1),(200,1),(210,1),(268,1),(297,1),(360,1),(372,1),(401,1)}
        59:{1,2,5,7}:{(32,1),(38,1),(97,1),(98,1),(269,1),(373,1)}
        60:{2,5,6,7}:{(33,1),(96,1),(99,1),(373,1)}
        61:{1,2,3,6}:{(87,1),(93,1),(100,1),(288,1)}
        62:{2,3,5,6}:{(35,1),(89,1),(102,1),(103,1),(117,1),(274,1)}
        63:{1,3,4,6}:{(34,1),(94,1),(101,1),(104,1),(183,1),(198,1),(288,1)}
        64:{1,2,4,5}:{(34,1),(38,1),(104,1),(107,1),(204,1),(269,1),(350,1)}
        65:{1,4,5,6}:{(35,1),(102,1),(106,1),(304,1),(371,1)}
        66:{2,4,5,7}:{(35,1),(36,1),(96,1),(103,1),(106,1),(206,1),(307,1),(373,1)}
        67:{1,3,5}:{(37,1),(38,1),(46,1),(90,1),(107,1)}
        68:{1,2,5,6}:{(38,1),(40,1),(47,1),(108,1),(109,1),(191,1),(371,1)}
        69:{1,3,4,5,7}:{(39,1),(49,1),(91,1),(107,1),(110,1),(188,1),(210,1),(211,1),(287,1),(293,1),(296,1),(368,1)}
        70:{1,3,6}:{(39,1),(40,1),(50,1),(92,1)}
        71:{1,2,4,6,7}:{(40,1),(51,1),(109,1),(111,1),(192,1),(210,1),(289,1),(298,1),(372,1)}
        72:{2,4,6,7}:{(41,1),(43,1),(45,1),(112,1)}
        73:{2,3,5,7}:{(42,1),(46,1),(97,1),(113,1),(114,1),(310,1),(349,1),(373,1)}
        74:{1,3,5,6,7}:{(43,1),(48,1),(99,1),(112,1),(115,1),(196,1),(213,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(112,1),(118,1),(210,1)}
        77:{2,4,5}:{(46,1),(107,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(108,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(110,1),(119,1),(121,1),(212,1),(299,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(111,1),(120,1),(213,1),(291,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(263,1),(411,1)}
        83:{2,3,4,5,7}:{(53,1),(126,1),(127,1),(135,1),(161,1),(223,1),(247,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(54,1),(58,1),(129,1),(139,1),(141,1),(221,1),(233,1),(243,1),(248,1),(326,1),(328,1),(341,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(60,1),(128,1),(130,1),(142,1),(223,1)}
        87:{1,2,3,5}:{(61,1),(131,1),(150,1),(236,1)}
        88:{1,3,4,5}:{(53,1),(133,1),(134,1),(236,1),(254,1)}
        89:{2,3,4,6}:{(53,1),(62,1),(134,1),(135,1),(165,1),(257,1),(319,1),(331,1)}
        90:{2,3,5}:{(54,1),(67,1),(136,1)}
        91:{2,4,5,7}:{(55,1),(69,1),(136,1),(138,1),(243,1),(244,1),(330,1),(391,1)}
        92:{2,3,6}:{(55,1),(70,1),(138,1)}
        93:{1,2,3,7}:{(61,1),(140,1),(333,1)}
        94:{1,3,4,7}:{(56,1),(63,1),(141,1),(143,1),(333,1)}
        95:{1,2,4,5,7}:{(56,1),(59,1),(64,1),(143,1),(144,1),(146,1),(247,1)}
        96:{2,4,6,7}:{(57,1),(60,1),(66,1),(142,1),(145,1),(249,1)}
        97:{1,3,5,7}:{(58,1),(59,1),(67,1),(73,1),(129,1),(146,1),(147,1),(314,1),(394,1)}
        98:{1,2,5,6}:{(59,1),(144,1),(147,1),(246,1),(340,1)}
        99:{1,5,6,7}:{(60,1),(145,1),(394,1)}
       100:{1,2,4,6}:{(61,1),(131,1),(140,1),(149,1),(150,1),(246,1)}
       101:{2,3,4,6}:{(63,1),(132,1),(141,1),(149,1),(151,1),(235,1),(239,1),(248,1),(257,1),(331,1)}
       102:{1,3,5,6}:{(62,1),(65,1),(134,1),(152,1),(153,1)}
       103:{2,3,5,7}:{(62,1),(66,1),(135,1),(142,1),(153,1),(166,1),(320,1)}
       104:{1,3,5}:{(63,1),(64,1),(151,1)}
       105:{1,2,4,5,6}:{(64,1),(65,1),(68,1),(75,1),(144,1),(152,1),(155,1),(156,1),(157,1),(224,1),(237,1),(242,1),(252,1),(257,1),(315,1),(340,1),(344,1),(379,1),(390,1),(412,1)}
       106:{1,4,5,7}:{(65,1),(66,1),(145,1),(153,1),(345,1),(394,1)}
       107:{1,4,5}:{(67,1),(77,1),(136,1),(157,1)}
       108:{1,3,5,6}:{(67,1),(68,1),(70,1),(78,1),(137,1),(157,1),(158,1)}
       109:{1,2,5,7}:{(68,1),(71,1),(79,1),(158,1),(244,1),(394,1)}
       110:{1,3,4,6}:{(69,1),(70,1),(80,1),(138,1),(157,1),(159,1),(241,1),(338,1)}
       111:{1,3,6,7}:{(70,1),(71,1),(81,1),(139,1),(158,1),(333,1)}
       112:{1,4,6,7}:{(72,1),(74,1),(76,1),(162,1)}
       113:{2,4,5,7}:{(73,1),(77,1),(146,1),(161,1),(163,1),(168,1),(377,1),(413,1)}
       114:{2,3,5,6}:{(73,1),(147,1),(163,1),(248,1),(263,1),(340,1)}
       115:{2,5,6,7}:{(74,1),(79,1),(162,1),(249,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(162,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(157,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(158,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(159,1),(167,1),(169,1),(263,1),(340,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(160,1),(168,1),(169,1),(264,1),(267,1),(335,1),(341,1),(393,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(310,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(93,1),(170,1),(174,1),(194,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(88,1),(176,1),(177,1),(187,1),(272,1),(273,1),(277,1),(296,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(212,1),(299,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(90,1),(97,1),(180,1),(181,1),(270,1),(363,1),(373,1)}
       130:{1,3,5,6,7}:{(86,1),(99,1),(179,1),(182,1),(196,1),(272,1),(283,1)}
       131:{1,2,4}:{(87,1),(183,1)}
       132:{2,3,4}:{(183,1),(185,1)}
       133:{2,4,5}:{(88,1),(185,1),(186,1)}
       134:{1,3,4,6}:{(88,1),(89,1),(102,1),(186,1),(187,1),(288,1),(304,1)}
       135:{2,3,4,7}:{(89,1),(103,1),(187,1),(217,1),(307,1),(356,1),(366,1)}
       136:{2,4,5}:{(90,1),(107,1),(188,1),(189,1)}
       137:{2,3,5,6}:{(90,1),(92,1),(108,1),(189,1),(190,1),(191,1),(292,1)}
       138:{2,4,6}:{(91,1),(92,1),(110,1),(191,1)}
       139:{2,3,6,7}:{(92,1),(111,1),(190,1),(192,1),(366,1),(370,1)}
       140:{1,2,4,7}:{(93,1),(100,1),(193,1),(194,1)}
       141:{2,3,4,7}:{(94,1),(101,1),(193,1),(195,1),(291,1),(307,1),(366,1)}
       142:{2,3,6,7}:{(96,1),(103,1),(196,1),(213,1),(283,1)}
       143:{1,3,5,7}:{(94,1),(95,1),(104,1),(195,1),(198,1)}
       144:{1,2,4,6}:{(95,1),(98,1),(198,1),(200,1),(299,1)}
       145:{1,4,6,7}:{(96,1),(99,1),(106,1),(196,1)}
       146:{1,4,5,7}:{(97,1),(107,1),(113,1),(180,1),(200,1),(210,1),(350,1),(401,1)}
       147:{1,3,5,6}:{(97,1),(98,1),(114,1),(181,1),(198,1),(200,1),(297,1),(371,1)}
       148:{1,2,5,6,7}:{(98,1),(99,1),(109,1),(115,1),(182,1),(199,1),(201,1),(295,1),(298,1),(352,1),(373,1),(410,1),(423,1)}
       149:{1,3,4,6}:{(100,1),(101,1),(183,1),(193,1),(202,1),(288,1),(297,1),(304,1)}
       150:{1,2,5}:{(100,1),(202,1)}
       151:{2,3,5}:{(101,1),(104,1),(202,1),(204,1)}
       152:{2,5,6}:{(102,1),(186,1),(206,1)}
       153:{1,3,5,7}:{(102,1),(103,1),(106,1),(187,1),(196,1),(206,1)}
       154:{1,3,4,5}:{(104,1),(107,1),(116,1),(188,1),(204,1),(207,1),(273,1),(350,1),(397,1)}
       155:{1,3,5,6}:{(104,1),(105,1),(117,1),(198,1),(205,1),(207,1),(208,1),(274,1),(288,1),(292,1),(419,1)}
       156:{1,2,4,5,7}:{(105,1),(106,1),(109,1),(118,1),(199,1),(206,1),(208,1),(210,1),(275,1),(289,1),(294,1),(303,1),(307,1),(352,1),(373,1),(375,1),(401,1),(408,1),(421,1)}
       157:{1,4,6}:{(107,1),(108,1),(119,1),(189,1),(210,1)}
       158:{1,3,5,7}:{(108,1),(109,1),(111,1),(120,1),(190,1),(210,1)}
       159:{1,3,5,6}:{(110,1),(121,1),(191,1),(209,1),(211,1),(292,1),(371,1)}
       160:{1,3,4,6,7}:{(110,1),(111,1),(122,1),(192,1),(210,1),(211,1),(293,1),(309,1),(368,1),(370,1),(372,1),(409,1)}
       161:{3,4,5,7}:{(113,1),(116,1),(212,1),(217,1),(310,1),(397,1),(420,1)}
       162:{2,4,6,7}:{(112,1),(115,1),(118,1),(213,1)}
       163:{2,4,6}:{(113,1),(114,1),(200,1),(212,1)}
       164:{2,3,5,6,7}:{(114,1),(115,1),(120,1),(201,1),(213,1),(215,1),(300,1),(310,1),(373,1),(399,1),(423,1),(426,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(213,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(209,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(210,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(211,1),(218,1),(310,1),(373,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(246,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(263,1),(340,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(131,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(132,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(133,1),(228,1),(229,1),(240,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(338,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(135,1),(142,1),(223,1),(230,1),(264,1),(341,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(136,1),(146,1),(231,1),(233,1),(243,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(147,1),(233,1),(248,1),(327,1),(340,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(249,1),(318,1)}
       183:{1,3,4}:{(131,1),(132,1),(235,1),(236,1)}
       184:{1,2,4,5}:{(131,1),(133,1),(150,1),(236,1),(237,1),(254,1),(330,1)}
       185:{2,3,5}:{(132,1),(133,1),(236,1),(239,1)}
       186:{2,4,6}:{(133,1),(134,1),(152,1),(239,1),(240,1)}
       187:{1,3,4,7}:{(134,1),(135,1),(153,1),(240,1),(333,1),(345,1)}
       188:{3,4,5}:{(136,1),(241,1)}
       189:{2,4,6}:{(136,1),(137,1),(157,1),(241,1),(243,1)}
       190:{2,3,5,7}:{(137,1),(139,1),(158,1),(243,1),(244,1),(336,1)}
       191:{2,5,6}:{(138,1),(159,1),(244,1)}
       192:{2,4,6,7}:{(138,1),(139,1),(160,1),(243,1),(244,1),(391,1),(418,1)}
       193:{1,3,4,7}:{(140,1),(141,1),(149,1),(245,1),(333,1),(345,1)}
       194:{1,2,5,7}:{(140,1),(150,1),(245,1),(246,1)}
       195:{2,3,5,7}:{(141,1),(143,1),(151,1),(245,1),(247,1),(248,1)}
       196:{1,3,6,7}:{(142,1),(145,1),(153,1),(249,1)}
       197:{1,3,4,5,7}:{(143,1),(146,1),(154,1),(161,1),(231,1),(247,1),(250,1),(260,1),(342,1)}
       198:{1,3,6}:{(143,1),(144,1),(248,1)}
       199:{1,2,4,6,7}:{(144,1),(145,1),(148,1),(156,1),(162,1),(232,1),(249,1),(251,1),(253,1),(337,1),(341,1),(396,1),(418,1),(425,1)}
       200:{1,4,6}:{(146,1),(147,1),(163,1),(233,1)}
       201:{1,3,5,6,7}:{(147,1),(148,1),(158,1),(164,1),(234,1),(251,1),(253,1),(339,1),(342,1),(380,1),(394,1)}
       202:{1,3,5}:{(149,1),(150,1),(151,1),(254,1)}
       203:{1,2,5,6}:{(150,1),(152,1),(237,1),(246,1),(255,1),(256,1),(390,1)}
       204:{2,4,5}:{(151,1),(154,1),(254,1),(257,1)}
       205:{2,3,5,6}:{(151,1),(152,1),(155,1),(239,1),(248,1),(255,1),(257,1),(258,1),(331,1),(340,1),(390,1)}
       206:{2,5,7}:{(152,1),(153,1),(240,1),(249,1)}
       207:{1,3,4,6}:{(154,1),(155,1),(157,1),(165,1),(241,1),(257,1),(260,1),(319,1),(379,1),(411,1)}
       208:{1,3,5,7}:{(155,1),(156,1),(166,1),(251,1),(258,1),(260,1),(320,1),(333,1),(336,1),(424,1)}
       209:{1,4,5,6}:{(157,1),(159,1),(167,1),(242,1),(261,1)}
       210:{1,4,7}:{(157,1),(158,1),(168,1),(243,1)}
       211:{1,3,5,7}:{(159,1),(160,1),(169,1),(244,1),(261,1),(336,1),(394,1)}
       212:{3,4,6}:{(161,1),(163,1),(263,1)}
       213:{3,6,7}:{(162,1),(166,1)}
       214:{2,4,5,6}:{(163,1),(252,1),(263,1),(265,1),(340,1)}
       215:{2,4,6,7}:{(163,1),(164,1),(168,1),(253,1),(264,1),(265,1),(413,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(263,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(261,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(262,1),(267,1),(348,1),(393,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(371,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(310,1),(373,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(183,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(194,1),(269,1),(277,1),(278,1),(289,1),(296,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(185,1),(270,1),(277,1),(280,1),(291,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(187,1),(196,1),(272,1),(281,1),(283,1),(356,1),(360,1),(372,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(188,1),(273,1),(282,1),(293,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(200,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(190,1),(201,1),(283,1),(285,1),(295,1),(300,1),(354,1),(363,1),(370,1),(373,1)}
       235:{2,3,4}:{(183,1),(286,1)}
       236:{1,3,5}:{(183,1),(184,1),(185,1),(286,1),(288,1)}
       237:{1,2,4,6}:{(184,1),(186,1),(203,1),(288,1),(289,1),(304,1),(365,1)}
       238:{2,3,4,5}:{(185,1),(188,1),(204,1),(287,1),(290,1),(397,1)}
       239:{2,3,6}:{(185,1),(186,1),(288,1),(291,1)}
       240:{2,4,7}:{(186,1),(187,1),(206,1),(291,1)}
       241:{3,4,6}:{(188,1),(189,1),(292,1),(293,1)}
       242:{2,4,5,6}:{(189,1),(191,1),(209,1),(292,1),(294,1)}
       243:{2,4,7}:{(189,1),(190,1),(210,1),(293,1)}
       244:{2,5,7}:{(191,1),(192,1),(211,1)}
       245:{1,3,5,7}:{(193,1),(194,1),(195,1),(202,1),(296,1),(297,1)}
       246:{1,2,6}:{(194,1),(297,1)}
       247:{2,4,5,7}:{(195,1),(197,1),(204,1),(296,1),(299,1),(307,1),(373,1)}
       248:{2,3,6}:{(195,1),(198,1),(297,1),(299,1)}
       249:{2,6,7}:{(196,1),(206,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(200,1),(212,1),(282,1),(299,1),(301,1)}
       251:{1,3,6,7}:{(198,1),(199,1),(208,1),(213,1),(283,1),(300,1),(370,1),(426,1)}
       252:{1,4,5,6}:{(200,1),(214,1),(284,1),(301,1),(303,1),(371,1)}
       253:{1,4,6,7}:{(200,1),(201,1),(210,1),(215,1),(285,1),(303,1),(401,1)}
       254:{1,4,5}:{(202,1),(204,1),(304,1)}
       255:{1,3,5,6}:{(202,1),(203,1),(205,1),(288,1),(297,1),(304,1),(305,1),(371,1)}
       256:{1,2,5,7}:{(203,1),(206,1),(289,1),(298,1),(305,1),(408,1)}
       257:{2,4,6}:{(204,1),(205,1),(207,1),(304,1),(307,1)}
       258:{2,3,5,7}:{(205,1),(206,1),(208,1),(291,1),(300,1),(305,1),(307,1),(366,1),(373,1),(408,1)}
       259:{1,3,4,5,6}:{(207,1),(209,1),(216,1),(292,1),(301,1),(306,1),(308,1),(355,1),(367,1),(400,1),(419,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(210,1),(217,1),(293,1),(307,1),(356,1),(401,1),(420,1)}
       261:{1,4,5,7}:{(209,1),(210,1),(211,1),(218,1),(294,1),(309,1)}
       262:{1,3,5,6,7}:{(211,1),(219,1),(295,1),(309,1),(370,1),(409,1),(410,1)}
       263:{3,5,6}:{(212,1),(214,1),(310,1)}
       264:{3,4,6,7}:{(212,1),(213,1),(215,1),(217,1),(310,1),(420,1),(426,1)}
       265:{2,4,5,7}:{(214,1),(215,1),(303,1),(310,1),(373,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(310,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(309,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(394,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(235,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(236,1),(314,1),(321,1),(323,1),(333,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(246,1),(315,1),(323,1),(338,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(238,1),(247,1),(316,1),(322,1),(325,1),(335,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(240,1),(249,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(252,1),(327,1),(329,1),(340,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(253,1),(328,1),(329,1),(382,1)}
       286:{2,3,5}:{(235,1),(236,1),(330,1),(331,1)}
       287:{1,3,4,5}:{(236,1),(238,1),(254,1),(330,1),(332,1)}
       288:{1,3,6}:{(236,1),(237,1),(239,1),(331,1),(333,1)}
       289:{1,2,4,7}:{(237,1),(240,1),(256,1),(333,1),(345,1),(391,1)}
       290:{2,3,4,6}:{(238,1),(239,1),(241,1),(257,1),(332,1),(334,1),(335,1),(411,1)}
       291:{2,3,7}:{(239,1),(240,1),(333,1)}
       292:{3,5,6}:{(241,1),(242,1),(336,1)}
       293:{3,4,7}:{(241,1),(243,1),(336,1)}
       294:{2,4,5,7}:{(242,1),(243,1),(244,1),(261,1),(336,1),(337,1)}
       295:{2,5,6,7}:{(244,1),(262,1),(337,1),(418,1)}
       296:{1,4,5,7}:{(245,1),(247,1),(254,1),(338,1),(345,1),(394,1)}
       297:{1,3,6}:{(245,1),(246,1),(248,1),(338,1)}
       298:{1,2,6,7}:{(246,1),(249,1),(256,1),(339,1),(418,1)}
       299:{2,4,6}:{(247,1),(248,1),(250,1),(338,1),(340,1)}
       300:{2,3,6,7}:{(248,1),(249,1),(251,1),(258,1),(339,1),(341,1),(418,1)}
       301:{1,3,5,6}:{(250,1),(252,1),(263,1),(327,1),(340,1),(342,1)}
       302:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(260,1),(264,1),(328,1),(341,1),(342,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(265,1),(329,1),(342,1),(394,1)}
       304:{1,4,6}:{(254,1),(255,1),(257,1),(345,1)}
       305:{1,3,5,7}:{(255,1),(256,1),(258,1),(333,1),(339,1),(345,1),(394,1)}
       306:{2,4,5,6}:{(257,1),(259,1),(334,1),(340,1),(344,1),(346,1),(390,1)}
       307:{2,4,7}:{(257,1),(258,1),(260,1),(345,1)}
       308:{1,3,4,5,7}:{(259,1),(260,1),(261,1),(266,1),(336,1),(342,1),(346,1),(347,1),(383,1),(392,1),(414,1),(424,1)}
       309:{1,4,6,7}:{(261,1),(262,1),(267,1),(337,1)}
       310:{3,5,7}:{(263,1),(264,1),(265,1)}
       311:{2,4,5,6,7}:{(265,1),(267,1),(343,1),(348,1),(395,1),(425,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(348,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(371,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(286,1),(349,1),(357,1),(358,1),(366,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(287,1),(296,1),(350,1),(357,1),(359,1),(368,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(289,1),(298,1),(352,1),(360,1),(372,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(299,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(291,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(293,1),(356,1),(363,1),(370,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(303,1),(363,1),(373,1)}
       330:{2,4,5}:{(286,1),(287,1),(365,1)}
       331:{2,3,6}:{(286,1),(288,1),(365,1),(366,1)}
       332:{1,3,4,6}:{(287,1),(288,1),(290,1),(304,1),(365,1),(367,1),(368,1)}
       333:{1,3,7}:{(288,1),(289,1),(291,1),(366,1)}
       334:{2,3,5,6}:{(290,1),(292,1),(306,1),(367,1),(369,1),(419,1)}
       335:{2,3,4,7}:{(290,1),(291,1),(293,1),(307,1),(368,1),(369,1),(420,1)}
       336:{3,5,7}:{(292,1),(293,1),(294,1),(370,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(309,1),(370,1)}
       338:{1,4,6}:{(296,1),(297,1),(299,1),(371,1)}
       339:{1,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(372,1)}
       340:{2,5,6}:{(299,1),(301,1),(371,1),(373,1)}
       341:{2,4,6,7}:{(299,1),(300,1),(302,1),(307,1),(372,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(303,1),(310,1),(363,1),(373,1)}
       343:{1,4,5,6,7}:{(303,1),(309,1),(311,1),(364,1),(374,1),(410,1),(422,1)}
       344:{1,4,5,6}:{(304,1),(306,1),(367,1),(371,1),(375,1)}
       345:{1,4,7}:{(304,1),(305,1),(307,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(308,1),(369,1),(373,1),(375,1),(376,1),(408,1)}
       347:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(370,1),(374,1),(376,1),(403,1),(409,1),(422,1),(426,1)}
       348:{3,5,6,7}:{(310,1),(311,1),(312,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(394,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(330,1),(377,1),(384,1),(391,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(338,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(333,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(340,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(335,1),(341,1),(382,1),(387,1),(388,1),(393,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(337,1),(343,1),(389,1),(395,1),(415,1)}
       365:{2,4,6}:{(330,1),(331,1),(332,1),(390,1),(391,1)}
       366:{2,3,7}:{(331,1),(333,1),(391,1)}
       367:{1,3,5,6}:{(332,1),(334,1),(344,1),(390,1),(392,1)}
       368:{1,3,4,7}:{(332,1),(333,1),(335,1),(345,1),(391,1),(392,1)}
       369:{2,3,5,7}:{(334,1),(335,1),(336,1),(346,1),(392,1),(393,1),(424,1)}
       370:{3,6,7}:{(336,1),(337,1)}
       371:{1,5,6}:{(338,1),(340,1),(394,1)}
       372:{1,4,6,7}:{(338,1),(339,1),(341,1),(345,1),(394,1)}
       373:{2,5,7}:{(340,1),(341,1),(342,1),(394,1)}
       374:{1,3,5,6,7}:{(342,1),(343,1),(347,1),(348,1),(389,1),(395,1)}
       375:{1,4,5,7}:{(344,1),(345,1),(346,1),(392,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(393,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(366,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(371,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(368,1),(372,1),(401,1),(405,1),(406,1),(409,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(373,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(370,1),(403,1)}
       390:{2,5,6}:{(365,1),(367,1),(408,1)}
       391:{2,4,7}:{(365,1),(366,1),(368,1),(408,1)}
       392:{1,3,5,7}:{(367,1),(368,1),(369,1),(375,1),(408,1),(409,1)}
       393:{2,3,6,7}:{(369,1),(370,1),(376,1),(409,1),(426,1)}
       394:{1,5,7}:{(371,1),(372,1),(373,1)}
       395:{2,5,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(409,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(391,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(394,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(393,1),(395,1),(415,1),(417,1)}
       408:{2,5,7}:{(390,1),(391,1),(392,1),(418,1)}
       409:{1,3,6,7}:{(392,1),(393,1),(396,1),(418,1)}
       410:{1,5,6,7}:{(394,1),(395,1),(396,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(408,1),(409,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2275 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(162,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(96,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(11,1),(12,1),(119,1),(154,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(12,1),(153,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(13,1),(34,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(15,1),(16,1),(42,1),(46,1),(76,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(90,1),(119,1)}
         7:{1,2,3,6}:{(4,1),(18,1),(19,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(21,1),(22,1)}
         9:{4,5,6,7}:{(23,1),(172,1)}
        10:{3,4,6,7}:{(3,1),(23,1),(24,1)}
        11:{1,4,5,6}:{(2,1),(21,1),(25,1),(26,1),(101,1),(142,1)}
        12:{2,4,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1),(141,1),(165,1)}
        13:{1,2,4}:{(4,1),(27,1)}
        14:{2,3,4}:{(27,1),(29,1)}
        15:{2,4,5}:{(5,1),(29,1),(30,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(21,1),(30,1),(31,1),(64,1),(68,1),(101,1)}
        17:{2,3,4,7}:{(6,1),(22,1),(31,1),(112,1),(141,1)}
        18:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        19:{1,2,4,6}:{(7,1),(13,1),(32,1),(33,1),(34,1),(75,1)}
        20:{2,3,4,6}:{(14,1),(33,1),(35,1),(37,1),(49,1),(80,1),(82,1)}
        21:{1,3,5,6}:{(8,1),(11,1),(16,1),(38,1),(39,1),(43,1)}
        22:{2,3,5,7}:{(8,1),(12,1),(17,1),(36,1),(39,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(40,1),(169,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(36,1),(40,1),(41,1)}
        25:{2,4,5,6}:{(11,1),(38,1),(43,1),(44,1),(82,1),(125,1),(128,1)}
        26:{1,4,5,7}:{(11,1),(12,1),(39,1),(41,1),(44,1),(124,1),(157,1)}
        27:{1,3,4}:{(13,1),(14,1),(45,1),(46,1)}
        28:{1,2,4,5}:{(13,1),(15,1),(34,1),(46,1),(47,1),(76,1),(89,1)}
        29:{2,3,5}:{(14,1),(15,1),(46,1),(49,1)}
        30:{2,4,6}:{(15,1),(16,1),(38,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(16,1),(17,1),(39,1),(50,1),(88,1),(92,1),(124,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(27,1),(51,1),(52,1),(54,1),(68,1),(99,1),(101,1)}
        34:{1,2,5}:{(19,1),(54,1)}
        35:{2,3,4,7}:{(20,1),(52,1),(56,1),(71,1),(106,1)}
        36:{2,3,6,7}:{(22,1),(24,1),(57,1)}
        37:{2,3,5}:{(20,1),(54,1),(58,1)}
        38:{2,5,6}:{(21,1),(30,1),(60,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(26,1),(31,1),(57,1),(60,1),(65,1)}
        40:{2,5,6,7}:{(23,1),(24,1),(61,1),(165,1)}
        41:{1,4,6,7}:{(24,1),(26,1),(57,1),(61,1),(63,1)}
        42:{3,4,5}:{(58,1),(64,1)}
        43:{3,5,6}:{(25,1),(64,1),(65,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(60,1),(63,1),(65,1),(106,1),(145,1),(147,1)}
        45:{2,3,4}:{(27,1),(66,1)}
        46:{1,3,5}:{(27,1),(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(28,1),(30,1),(55,1),(68,1),(69,1),(101,1),(111,1)}
        48:{2,3,4,5}:{(29,1),(58,1),(67,1),(70,1)}
        49:{2,3,6}:{(29,1),(30,1),(68,1),(71,1)}
        50:{2,4,7}:{(30,1),(31,1),(60,1),(71,1)}
        51:{2,3,4,6}:{(33,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(92,1),(124,1)}
        53:{1,2,5,7}:{(32,1),(34,1),(74,1),(75,1)}
        54:{1,3,5}:{(33,1),(34,1),(37,1),(73,1),(76,1)}
        55:{1,2,5,6}:{(34,1),(38,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        56:{2,3,5,7}:{(35,1),(37,1),(74,1),(79,1),(80,1)}
        57:{1,3,6,7}:{(36,1),(39,1),(41,1),(81,1),(86,1)}
        58:{2,4,5}:{(37,1),(42,1),(76,1),(82,1)}
        59:{2,3,5,6}:{(37,1),(38,1),(43,1),(49,1),(77,1),(80,1),(82,1),(83,1),(125,1)}
        60:{2,5,7}:{(38,1),(39,1),(50,1),(81,1)}
        61:{1,5,6,7}:{(40,1),(41,1),(84,1),(157,1)}
        62:{3,4,5,7}:{(42,1),(79,1),(85,1),(88,1),(130,1)}
        63:{2,4,6,7}:{(41,1),(44,1),(81,1),(84,1),(86,1),(129,1)}
        64:{3,4,6}:{(42,1),(43,1),(82,1),(88,1)}
        65:{3,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(76,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(124,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(82,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(95,1),(112,1),(141,1)}
        73:{2,3,5}:{(51,1),(54,1),(96,1)}
        74:{1,3,5,7}:{(52,1),(53,1),(54,1),(56,1),(95,1),(98,1),(99,1)}
        75:{1,2,6}:{(53,1),(99,1)}
        76:{1,4,5}:{(54,1),(58,1),(96,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(59,1),(68,1),(97,1),(99,1),(101,1),(102,1),(142,1)}
        78:{1,2,5,7}:{(55,1),(60,1),(69,1),(100,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(58,1),(62,1),(98,1),(103,1),(106,1),(145,1)}
        80:{2,3,6}:{(56,1),(99,1),(103,1)}
        81:{2,6,7}:{(57,1),(60,1)}
        82:{2,4,6}:{(58,1),(59,1),(64,1),(101,1),(106,1)}
        83:{2,3,5,7}:{(59,1),(60,1),(65,1),(71,1),(102,1),(104,1),(106,1),(145,1)}
        84:{2,5,6,7}:{(61,1),(63,1),(107,1),(145,1)}
        85:{3,4,6}:{(62,1),(103,1),(108,1)}
        86:{3,6,7}:{(63,1),(65,1)}
        87:{3,4,5,6}:{(64,1),(105,1),(108,1),(110,1)}
        88:{3,4,7}:{(64,1),(65,1),(106,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(101,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(105,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(106,1),(114,1),(115,1)}
        95:{2,3,5,7}:{(72,1),(73,1),(74,1),(117,1),(118,1)}
        96:{2,4,5}:{(73,1),(76,1),(116,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(77,1),(90,1),(118,1),(119,1),(120,1),(132,1),(152,1),(154,1)}
        98:{1,4,5,7}:{(74,1),(76,1),(79,1),(117,1),(121,1),(124,1),(157,1)}
        99:{1,3,6}:{(74,1),(75,1),(80,1),(118,1),(121,1)}
       100:{1,2,6,7}:{(75,1),(78,1),(81,1),(122,1),(161,1)}
       101:{1,4,6}:{(76,1),(77,1),(82,1),(119,1),(124,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(83,1),(92,1),(120,1),(122,1),(124,1),(157,1)}
       103:{2,4,6}:{(79,1),(80,1),(85,1),(121,1),(125,1)}
       104:{2,3,6,7}:{(80,1),(81,1),(83,1),(86,1),(122,1),(126,1)}
       105:{2,4,5,6}:{(82,1),(87,1),(93,1),(123,1),(125,1),(127,1)}
       106:{2,4,7}:{(82,1),(83,1),(88,1),(124,1)}
       107:{3,5,6,7}:{(84,1),(86,1),(129,1),(130,1)}
       108:{3,5,6}:{(85,1),(125,1),(128,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(88,1),(126,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(87,1),(88,1),(127,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(123,1),(132,1),(134,1),(152,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(124,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(127,1),(134,1),(135,1)}
       116:{3,4,5}:{(96,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(138,1),(141,1),(165,1)}
       118:{2,3,6}:{(95,1),(99,1),(138,1)}
       119:{2,4,6}:{(96,1),(97,1),(101,1),(137,1),(141,1)}
       120:{2,3,5,7}:{(97,1),(102,1),(112,1),(139,1),(141,1),(149,1),(164,1),(165,1)}
       121:{1,4,6}:{(98,1),(99,1),(103,1),(138,1),(142,1)}
       122:{1,3,6,7}:{(99,1),(100,1),(102,1),(104,1),(139,1),(143,1)}
       123:{1,4,5,6}:{(101,1),(105,1),(113,1),(140,1),(142,1),(144,1)}
       124:{1,4,7}:{(101,1),(102,1),(106,1),(141,1)}
       125:{2,5,6}:{(103,1),(108,1),(142,1),(145,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(106,1),(109,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(105,1),(106,1),(110,1),(115,1),(144,1),(145,1),(146,1)}
       128:{4,5,6}:{(108,1),(147,1)}
       129:{4,6,7}:{(107,1),(147,1)}
       130:{3,5,7}:{(108,1),(109,1),(145,1),(147,1)}
       131:{3,4,6,7}:{(110,1),(146,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(144,1),(149,1),(150,1),(164,1)}
       135:{2,3,6,7}:{(115,1),(146,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(151,1),(153,1),(169,1)}
       137:{3,4,6}:{(116,1),(119,1),(152,1),(153,1)}
       138:{2,4,6}:{(117,1),(118,1),(121,1),(151,1),(154,1)}
       139:{2,3,6,7}:{(118,1),(120,1),(122,1),(155,1),(161,1),(170,1)}
       140:{2,4,5,6}:{(119,1),(123,1),(132,1),(152,1),(154,1),(156,1),(168,1)}
       141:{2,4,7}:{(119,1),(120,1),(124,1),(153,1)}
       142:{1,5,6}:{(121,1),(125,1),(154,1),(157,1)}
       143:{1,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(155,1),(157,1)}
       144:{1,4,5,7}:{(123,1),(124,1),(127,1),(134,1),(156,1),(157,1),(158,1)}
       145:{2,5,7}:{(125,1),(126,1),(130,1),(157,1)}
       146:{2,4,6,7}:{(127,1),(131,1),(135,1),(158,1),(159,1)}
       147:{4,5,7}:{(128,1),(129,1),(130,1)}
       148:{3,5,6,7}:{(130,1),(131,1),(159,1),(160,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(158,1),(161,1),(170,1)}
       151:{3,4,6}:{(136,1),(138,1),(162,1)}
       152:{3,5,6}:{(137,1),(140,1),(164,1)}
       153:{3,4,7}:{(137,1),(141,1),(164,1)}
       154:{2,5,6}:{(138,1),(142,1),(162,1),(165,1)}
       155:{2,4,6,7}:{(138,1),(139,1),(141,1),(143,1),(163,1),(165,1)}
       156:{2,4,5,7}:{(140,1),(141,1),(144,1),(149,1),(164,1),(165,1),(166,1),(172,1)}
       157:{1,5,7}:{(142,1),(143,1),(145,1),(165,1)}
       158:{1,4,6,7}:{(144,1),(146,1),(150,1),(166,1),(167,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,6}:{(151,1),(154,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(151,1),(153,1),(155,1),(169,1),(170,1),(174,1)}
       164:{3,5,7}:{(152,1),(153,1),(156,1),(170,1)}
       165:{2,5,7}:{(154,1),(155,1),(157,1),(169,1)}
       166:{2,4,6,7}:{(156,1),(158,1),(161,1),(170,1),(171,1),(174,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(165,1),(172,1)}
       170:{3,6,7}:{(164,1),(166,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2276 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(100,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(46,1),(102,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(11,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(87,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(10,1),(13,1),(14,1),(61,1),(87,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(34,1),(60,1),(89,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,3,5,6}:{(5,1),(6,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(20,1),(101,1),(116,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(73,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(23,1),(77,1),(101,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(19,1),(23,1),(24,1),(45,1),(48,1),(73,1)}
        15:{2,4,5}:{(7,1),(24,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(14,1),(29,1),(30,1),(32,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(27,1),(29,1),(31,1),(88,1),(108,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(58,1),(85,1),(109,1)}
        22:{1,2,4,5}:{(15,1),(33,1),(34,1),(62,1),(89,1),(93,1)}
        23:{1,3,4,7}:{(13,1),(14,1),(29,1),(35,1),(59,1),(63,1),(88,1)}
        24:{2,4,6}:{(14,1),(15,1),(30,1),(35,1),(36,1)}
        25:{2,3,5}:{(15,1),(34,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(20,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(23,1),(38,1),(42,1),(44,1)}
        30:{2,5,6}:{(19,1),(24,1),(42,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(39,1),(42,1),(44,1),(70,1),(74,1),(98,1)}
        32:{3,5,6}:{(21,1),(44,1),(45,1)}
        33:{1,2,4,6}:{(22,1),(24,1),(41,1),(47,1),(48,1),(73,1),(78,1)}
        34:{1,3,5}:{(22,1),(25,1),(46,1),(48,1),(49,1)}
        35:{2,4,7}:{(23,1),(24,1),(42,1),(50,1)}
        36:{2,3,6}:{(24,1),(25,1),(48,1),(50,1)}
        37:{2,3,4}:{(25,1),(49,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{1,2,5,6}:{(30,1),(33,1),(55,1),(56,1),(93,1),(114,1)}
        42:{2,5,7}:{(29,1),(30,1),(35,1),(52,1)}
        43:{2,3,5,6}:{(30,1),(32,1),(36,1),(56,1),(57,1),(58,1),(66,1),(95,1),(109,1)}
        44:{3,5,7}:{(31,1),(32,1),(53,1),(59,1)}
        45:{3,4,6}:{(32,1),(58,1),(59,1),(60,1)}
        46:{2,3,5}:{(34,1),(61,1),(62,1),(93,1)}
        47:{1,2,4,7}:{(33,1),(35,1),(55,1),(63,1),(88,1),(92,1)}
        48:{1,3,6}:{(33,1),(34,1),(36,1),(61,1),(63,1)}
        49:{1,3,4}:{(34,1),(37,1),(62,1)}
        50:{2,3,7}:{(35,1),(36,1),(63,1)}
        51:{2,3,4,6}:{(36,1),(37,1),(58,1),(64,1),(65,1),(66,1),(95,1)}
        52:{2,6,7}:{(38,1),(42,1)}
        53:{3,6,7}:{(39,1),(44,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(47,1),(67,1),(72,1),(105,1)}
        56:{1,3,5,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(80,1),(106,1),(117,1)}
        57:{2,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(68,1),(72,1),(74,1),(98,1)}
        58:{2,4,6}:{(43,1),(45,1),(73,1),(74,1),(75,1)}
        59:{3,4,7}:{(44,1),(45,1),(74,1)}
        60:{3,4,5}:{(45,1),(75,1)}
        61:{2,3,6}:{(46,1),(48,1),(77,1),(78,1)}
        62:{2,4}:{(46,1),(49,1)}
        63:{1,3,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(73,1),(78,1),(79,1),(80,1),(100,1),(106,1)}
        65:{2,3,4,7}:{(50,1),(51,1),(74,1),(79,1),(81,1)}
        66:{2,3,5}:{(51,1),(75,1),(80,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(57,1),(82,1),(83,1),(95,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(59,1),(83,1),(84,1),(91,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(61,1),(86,1),(87,1),(93,1),(111,1),(114,1),(121,1),(122,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(63,1),(82,1),(86,1),(88,1),(108,1)}
        73:{1,4,6}:{(56,1),(58,1),(87,1),(88,1),(89,1)}
        74:{2,4,7}:{(57,1),(58,1),(59,1),(88,1)}
        75:{2,4,5}:{(58,1),(60,1),(66,1),(89,1)}
        76:{3,4,5,7}:{(59,1),(60,1),(84,1),(90,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{2,4,6}:{(61,1),(62,1),(64,1),(92,1),(93,1),(114,1)}
        79:{1,3,4,7}:{(63,1),(64,1),(65,1),(88,1),(92,1),(94,1),(110,1)}
        80:{1,3,5}:{(64,1),(66,1),(89,1),(93,1),(111,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(90,1),(94,1),(95,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(72,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(74,1),(97,1),(98,1),(104,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1),(101,1),(105,1),(116,1),(118,1)}
        87:{2,4,6}:{(71,1),(73,1),(100,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(74,1),(101,1)}
        89:{1,4,5}:{(73,1),(75,1),(80,1),(102,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(76,1),(81,1),(98,1),(103,1),(104,1)}
        91:{3,4,6}:{(76,1),(99,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(79,1),(105,1)}
        93:{2,5}:{(78,1),(80,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(81,1),(103,1),(105,1),(106,1),(118,1)}
        95:{2,3,6}:{(81,1),(104,1),(106,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(88,1),(107,1),(108,1),(113,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(91,1),(109,1)}
       100:{3,4,6}:{(87,1),(110,1),(111,1),(122,1)}
       101:{2,4,7}:{(86,1),(87,1),(88,1),(110,1)}
       102:{2,4,5}:{(87,1),(89,1),(93,1),(111,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(90,1),(94,1),(108,1),(112,1),(113,1)}
       104:{2,4,6}:{(90,1),(91,1),(95,1),(109,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(94,1),(114,1)}
       106:{1,3,6}:{(94,1),(95,1),(113,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(101,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(104,1),(117,1)}
       110:{3,4,7}:{(100,1),(101,1),(118,1)}
       111:{3,5}:{(100,1),(102,1)}
       112:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       113:{1,4,6}:{(103,1),(104,1),(106,1),(117,1),(119,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(113,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(112,1),(122,1)}
       119:{2,4,6}:{(112,1),(113,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2277 :   0:{2,3,4,5}:{(1,1),(2,1),(44,1),(134,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(66,1),(113,1)}
         2:{1,3,4,5}:{(0,1),(6,1),(8,1),(26,1),(118,1),(123,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(104,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(130,1),(172,1)}
         5:{2,3,5,6}:{(1,1),(13,1),(15,1),(16,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(46,1),(94,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(16,1),(18,1),(93,1),(135,1)}
         8:{2,4,5}:{(2,1),(17,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(35,1),(80,1)}
        10:{1,3,4,5}:{(3,1),(22,1),(24,1),(26,1),(118,1),(146,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(73,1),(118,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(73,1)}
        13:{2,4,5,6}:{(4,1),(5,1),(29,1),(30,1),(113,1),(170,1)}
        14:{3,4,5,7}:{(4,1),(30,1),(31,1),(147,1),(168,1)}
        15:{1,3,5,6}:{(5,1),(6,1),(29,1),(32,1),(33,1),(75,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1)}
        17:{2,4,6}:{(6,1),(8,1),(32,1),(35,1),(36,1)}
        18:{1,3,4,7}:{(6,1),(7,1),(33,1),(36,1),(72,1),(119,1),(124,1)}
        19:{2,3,5}:{(8,1),(26,1),(35,1),(37,1)}
        20:{3,4,5,6}:{(38,1),(39,1),(100,1),(165,1)}
        21:{2,3,5,6}:{(9,1),(38,1),(40,1),(41,1)}
        22:{1,3,4,6}:{(9,1),(10,1),(40,1),(42,1),(43,1),(46,1),(94,1),(130,1)}
        23:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(105,1)}
        24:{2,4,5}:{(10,1),(42,1),(44,1)}
        25:{1,2,4,6}:{(11,1),(17,1),(42,1),(45,1),(46,1),(47,1),(94,1)}
        26:{1,3,5}:{(11,1),(19,1),(44,1),(46,1),(48,1)}
        27:{1,2,3,6}:{(12,1),(46,1),(49,1),(50,1)}
        28:{1,2,4}:{(12,1),(48,1)}
        29:{1,4,5,6}:{(13,1),(15,1),(51,1),(52,1),(94,1),(164,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(16,1),(52,1),(53,1),(135,1),(163,1)}
        31:{3,4,6,7}:{(14,1),(53,1),(54,1)}
        32:{2,5,6}:{(15,1),(17,1),(56,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(18,1),(52,1),(56,1),(57,1),(101,1)}
        34:{2,3,6,7}:{(16,1),(53,1),(57,1)}
        35:{2,3,6}:{(17,1),(19,1),(46,1),(59,1)}
        36:{2,4,7}:{(17,1),(18,1),(56,1),(59,1)}
        37:{2,3,4}:{(19,1),(48,1)}
        38:{2,4,5,6}:{(20,1),(21,1),(60,1),(61,1),(80,1),(158,1)}
        39:{3,4,5,7}:{(20,1),(61,1),(62,1),(124,1),(156,1)}
        40:{1,3,5,6}:{(21,1),(22,1),(60,1),(63,1),(64,1),(108,1)}
        41:{2,3,5,7}:{(21,1),(23,1),(61,1),(64,1),(65,1)}
        42:{2,4,6}:{(22,1),(24,1),(63,1),(66,1),(67,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(64,1),(67,1),(72,1),(119,1),(147,1)}
        44:{2,3,5}:{(24,1),(26,1),(66,1),(68,1)}
        45:{1,2,5,6}:{(25,1),(32,1),(63,1),(69,1),(70,1),(73,1),(122,1)}
        46:{1,3,6}:{(25,1),(26,1),(35,1),(66,1),(72,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(67,1),(70,1),(72,1),(119,1)}
        48:{1,3,4}:{(26,1),(28,1),(37,1),(68,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(71,1),(73,1),(74,1),(122,1)}
        50:{1,2,3,7}:{(27,1),(72,1),(74,1)}
        51:{2,4,5,6}:{(29,1),(32,1),(75,1),(76,1),(80,1),(158,1),(171,1)}
        52:{1,4,5,7}:{(29,1),(30,1),(33,1),(76,1),(77,1),(119,1),(154,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        54:{3,5,6,7}:{(31,1),(78,1),(79,1),(168,1)}
        55:{2,3,5,6}:{(32,1),(35,1),(69,1),(75,1),(80,1),(81,1),(83,1),(129,1),(158,1)}
        56:{2,5,7}:{(32,1),(33,1),(36,1),(82,1)}
        57:{1,3,6,7}:{(33,1),(34,1),(77,1),(82,1),(125,1)}
        58:{2,3,4,6}:{(35,1),(37,1),(71,1),(80,1),(83,1),(84,1),(129,1)}
        59:{2,3,7}:{(35,1),(36,1),(72,1)}
        60:{1,4,5,6}:{(38,1),(40,1),(85,1),(86,1),(94,1),(164,1)}
        61:{2,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(87,1),(105,1),(145,1)}
        62:{3,4,6,7}:{(39,1),(87,1),(88,1)}
        63:{2,5,6}:{(40,1),(42,1),(90,1)}
        64:{1,3,5,7}:{(40,1),(41,1),(43,1),(86,1),(90,1),(91,1),(131,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(91,1)}
        66:{2,3,6}:{(42,1),(44,1),(46,1),(93,1)}
        67:{2,4,7}:{(42,1),(43,1),(90,1),(93,1)}
        68:{2,3,4}:{(44,1),(48,1)}
        69:{1,3,5,6}:{(45,1),(46,1),(55,1),(89,1),(94,1),(95,1),(97,1),(140,1),(164,1)}
        70:{1,2,5,7}:{(45,1),(47,1),(56,1),(90,1),(95,1),(96,1)}
        71:{1,3,4,6}:{(46,1),(48,1),(49,1),(58,1),(92,1),(94,1),(97,1),(98,1),(140,1)}
        72:{1,3,7}:{(46,1),(47,1),(59,1),(93,1)}
        73:{1,2,5}:{(49,1),(97,1)}
        74:{1,2,4,7}:{(49,1),(50,1),(98,1),(99,1)}
        75:{3,5,6}:{(51,1),(100,1),(101,1)}
        76:{2,4,5,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(105,1),(145,1),(166,1)}
        77:{1,4,6,7}:{(52,1),(53,1),(57,1),(102,1),(103,1)}
        78:{2,5,6,7}:{(53,1),(54,1),(103,1),(163,1)}
        79:{4,5,6,7}:{(54,1),(173,1)}
        80:{2,4,6}:{(55,1),(94,1),(100,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(55,1),(56,1),(59,1),(95,1),(101,1),(105,1),(106,1),(145,1)}
        82:{2,6,7}:{(56,1),(57,1)}
        83:{2,3,5}:{(58,1),(97,1),(104,1)}
        84:{2,3,4,7}:{(58,1),(59,1),(98,1),(105,1),(107,1)}
        85:{2,4,5,6}:{(60,1),(63,1),(108,1),(109,1),(113,1),(170,1),(174,1)}
        86:{1,4,5,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(119,1),(154,1)}
        87:{2,4,6,7}:{(61,1),(62,1),(65,1),(110,1),(111,1)}
        88:{3,5,6,7}:{(62,1),(111,1),(112,1),(156,1)}
        89:{2,3,5,6}:{(63,1),(66,1),(69,1),(108,1),(113,1),(114,1),(116,1),(152,1),(170,1)}
        90:{2,5,7}:{(63,1),(64,1),(67,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(65,1),(110,1),(115,1),(148,1)}
        92:{2,3,4,6}:{(66,1),(68,1),(71,1),(113,1),(116,1),(117,1),(152,1)}
        93:{2,3,7}:{(66,1),(67,1),(72,1)}
        94:{1,4,6}:{(69,1),(80,1),(113,1),(118,1),(119,1)}
        95:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(114,1),(119,1),(120,1),(154,1)}
        96:{1,2,6,7}:{(70,1),(82,1),(115,1),(120,1),(122,1)}
        97:{1,3,5}:{(71,1),(73,1),(83,1),(116,1),(118,1)}
        98:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(117,1),(119,1),(121,1)}
        99:{1,2,5,7}:{(73,1),(74,1),(121,1),(122,1)}
       100:{3,4,6}:{(75,1),(80,1),(123,1),(124,1)}
       101:{3,5,7}:{(75,1),(76,1),(124,1),(125,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(82,1),(125,1),(126,1),(157,1)}
       103:{1,5,6,7}:{(77,1),(78,1),(126,1),(154,1)}
       104:{2,4,5}:{(80,1),(83,1),(118,1),(123,1)}
       105:{2,4,7}:{(80,1),(81,1),(119,1),(124,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(120,1),(125,1),(128,1),(129,1)}
       107:{2,3,5,7}:{(83,1),(84,1),(121,1),(127,1),(129,1)}
       108:{3,5,6}:{(85,1),(130,1),(131,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(90,1),(131,1),(132,1),(135,1),(163,1),(173,1)}
       110:{1,4,6,7}:{(86,1),(87,1),(91,1),(132,1),(133,1)}
       111:{2,5,6,7}:{(87,1),(88,1),(133,1),(145,1)}
       112:{4,5,6,7}:{(88,1),(166,1)}
       113:{2,4,6}:{(89,1),(94,1),(130,1),(134,1),(135,1)}
       114:{2,3,5,7}:{(89,1),(90,1),(93,1),(95,1),(131,1),(135,1),(136,1),(163,1)}
       115:{2,6,7}:{(90,1),(91,1)}
       116:{2,3,5}:{(92,1),(97,1),(134,1)}
       117:{2,3,4,7}:{(92,1),(93,1),(98,1),(135,1),(137,1)}
       118:{1,4,5}:{(94,1),(97,1),(104,1),(134,1)}
       119:{1,4,7}:{(94,1),(95,1),(105,1),(135,1)}
       120:{1,3,6,7}:{(95,1),(96,1),(106,1),(136,1),(139,1),(140,1)}
       121:{1,3,5,7}:{(97,1),(98,1),(99,1),(107,1),(137,1),(138,1),(140,1)}
       122:{1,2,6}:{(99,1),(140,1)}
       123:{3,4,5}:{(100,1),(104,1)}
       124:{3,4,7}:{(100,1),(101,1),(105,1)}
       125:{3,6,7}:{(101,1),(102,1)}
       126:{2,5,6,7}:{(102,1),(103,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(104,1),(105,1),(107,1),(138,1),(141,1),(144,1),(145,1)}
       128:{2,4,6,7}:{(105,1),(106,1),(139,1),(142,1),(144,1),(145,1)}
       129:{2,3,6}:{(107,1),(140,1),(144,1)}
       130:{3,4,6}:{(108,1),(113,1),(146,1),(147,1)}
       131:{3,5,7}:{(108,1),(109,1),(147,1),(148,1)}
       132:{2,4,6,7}:{(109,1),(110,1),(115,1),(148,1),(149,1),(169,1)}
       133:{1,5,6,7}:{(110,1),(111,1),(149,1),(154,1)}
       134:{2,4,5}:{(113,1),(116,1),(118,1),(146,1)}
       135:{2,4,7}:{(113,1),(114,1),(119,1),(147,1)}
       136:{2,3,6,7}:{(114,1),(115,1),(120,1),(148,1),(151,1),(152,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(150,1),(152,1)}
       138:{1,4,5,7}:{(118,1),(119,1),(121,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,6,7}:{(119,1),(120,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(153,1)}
       141:{3,4,5,7}:{(123,1),(124,1),(127,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(128,1),(155,1),(156,1),(157,1)}
       143:{3,5,6,7}:{(125,1),(126,1),(156,1),(157,1)}
       144:{2,4,6}:{(127,1),(129,1),(153,1),(155,1),(158,1)}
       145:{2,5,7}:{(128,1),(154,1),(156,1),(158,1)}
       146:{3,4,5}:{(130,1),(134,1)}
       147:{3,4,7}:{(130,1),(131,1),(135,1)}
       148:{3,6,7}:{(131,1),(132,1)}
       149:{2,5,6,7}:{(132,1),(133,1),(161,1),(163,1)}
       150:{2,4,5,7}:{(134,1),(135,1),(137,1),(138,1),(159,1),(162,1),(163,1)}
       151:{2,4,6,7}:{(135,1),(136,1),(139,1),(160,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(162,1)}
       153:{1,4,6}:{(138,1),(140,1),(144,1),(162,1),(164,1)}
       154:{1,5,7}:{(139,1),(145,1),(163,1),(164,1)}
       155:{3,4,6}:{(141,1),(144,1),(165,1)}
       156:{3,5,7}:{(142,1),(145,1),(165,1),(166,1)}
       157:{4,6,7}:{(143,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(165,1)}
       159:{3,4,5,7}:{(146,1),(147,1),(150,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(151,1),(167,1),(168,1),(169,1)}
       161:{3,5,6,7}:{(148,1),(149,1),(168,1),(169,1)}
       162:{2,4,6}:{(150,1),(152,1),(153,1),(167,1),(170,1)}
       163:{2,5,7}:{(151,1),(154,1),(168,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{3,5,6}:{(155,1),(156,1),(158,1),(171,1)}
       166:{4,5,7}:{(156,1),(157,1),(171,1)}
       167:{3,4,6}:{(159,1),(162,1),(172,1)}
       168:{3,5,7}:{(160,1),(163,1),(172,1),(173,1)}
       169:{4,6,7}:{(161,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(172,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{3,5,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,5,7}:{(168,1),(169,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2278 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(52,1),(116,1),(131,1),(182,1),(187,1),(209,1),(225,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(30,1),(32,1),(143,1),(165,1),(239,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(40,1),(85,1),(94,1),(168,1),(176,1),(178,1),(236,1),(272,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(83,1),(161,1),(230,1),(237,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(55,1),(287,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(213,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(133,1),(222,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(61,1),(65,1),(133,1),(223,1),(315,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1),(122,1),(132,1),(285,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(274,1),(281,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(48,1),(118,1),(199,1),(209,1),(225,1),(278,1),(286,1)}
        11:{1,2,3,6,7}:{(4,1),(23,1),(24,1),(87,1),(143,1),(146,1),(232,1),(241,1),(332,1),(394,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(168,1),(263,1)}
        13:{1,2,3,5,6}:{(4,1),(23,1),(31,1),(32,1),(73,1),(86,1),(89,1),(146,1),(165,1),(171,1),(232,1),(267,1),(326,1),(350,1),(392,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(32,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(30,1),(32,1),(33,1),(81,1),(85,1),(91,1),(168,1),(236,1),(239,1),(264,1),(351,1)}
        16:{2,3,4,6}:{(6,1),(29,1),(35,1),(36,1),(95,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(30,1),(35,1),(36,1),(270,1),(352,1)}
        18:{2,4,6}:{(7,1),(8,1),(36,1),(37,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(97,1),(327,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(38,1),(40,1),(77,1),(87,1),(152,1),(168,1),(178,1),(249,1),(272,1),(331,1)}
        21:{2,4,5,6}:{(9,1),(39,1),(41,1),(42,1),(161,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(40,1),(42,1),(319,1),(328,1)}
        23:{1,2,3,5,7}:{(11,1),(13,1),(44,1),(45,1),(105,1),(123,1),(219,1),(313,1),(380,1),(410,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(106,1),(190,1),(280,1),(286,1),(287,1)}
        25:{2,3,4,6,7}:{(16,1),(43,1),(46,1),(63,1),(104,1),(109,1),(133,1),(192,1),(198,1),(286,1),(356,1),(408,1),(424,1)}
        26:{2,3,5,6,7}:{(22,1),(47,1),(48,1),(50,1),(114,1),(199,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(275,1),(299,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(209,1),(303,1)}
        29:{1,3,4,6}:{(12,1),(14,1),(16,1),(51,1),(54,1),(55,1),(122,1)}
        30:{1,3,5,7}:{(12,1),(15,1),(17,1),(52,1),(54,1),(55,1),(310,1),(380,1)}
        31:{1,2,4,6}:{(13,1),(44,1),(56,1),(57,1),(122,1),(213,1),(215,1),(409,1)}
        32:{1,2,5}:{(14,1),(54,1)}
        33:{1,2,4,6}:{(15,1),(18,1),(55,1),(58,1),(115,1),(122,1),(285,1),(287,1)}
        34:{2,3,4,5,7}:{(17,1),(53,1),(60,1),(61,1),(108,1),(130,1),(133,1),(187,1),(207,1),(306,1)}
        35:{2,3,5}:{(16,1),(54,1),(61,1)}
        36:{2,3,6}:{(17,1),(18,1),(55,1)}
        37:{2,5,6}:{(18,1),(19,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(20,1),(63,1),(65,1),(133,1),(296,1),(315,1)}
        39:{1,4,5,6}:{(19,1),(21,1),(64,1),(67,1),(122,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(22,1),(65,1),(67,1),(135,1),(365,1)}
        41:{3,4,5,6}:{(21,1),(68,1),(208,1),(274,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(48,1),(67,1),(68,1),(209,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(29,1),(69,1),(70,1),(71,1),(87,1),(141,1),(144,1),(146,1),(168,1),(240,1),(325,1),(331,1),(394,1),(420,1)}
        44:{1,2,4,7}:{(23,1),(31,1),(71,1),(168,1),(266,1),(420,1)}
        45:{1,2,5,7}:{(24,1),(32,1),(70,1),(73,1),(326,1),(328,1)}
        46:{2,3,5,7}:{(25,1),(35,1),(70,1),(74,1),(75,1),(244,1),(328,1),(385,1)}
        47:{1,3,5,6,7}:{(26,1),(40,1),(76,1),(77,1),(152,1),(157,1),(249,1)}
        48:{2,4,6,7}:{(26,1),(42,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(157,1),(234,1),(252,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(319,1),(341,1)}
        51:{2,3,4,6}:{(28,1),(29,1),(82,1),(83,1),(161,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(81,1),(82,1),(83,1),(345,1),(400,1)}
        53:{1,3,4,5,7}:{(30,1),(34,1),(81,1),(84,1),(85,1),(160,1),(164,1),(168,1),(236,1),(257,1),(259,1),(347,1)}
        54:{1,3,5}:{(29,1),(32,1),(35,1),(82,1),(85,1)}
        55:{1,3,6}:{(30,1),(33,1),(36,1),(83,1)}
        56:{1,3,4,6}:{(31,1),(71,1),(88,1),(89,1),(146,1),(263,1),(350,1)}
        57:{1,2,4,5}:{(31,1),(32,1),(85,1),(89,1),(166,1),(326,1),(391,1)}
        58:{1,2,5,6}:{(32,1),(33,1),(37,1),(86,1),(91,1),(158,1),(327,1)}
        59:{1,2,4,6,7}:{(33,1),(38,1),(87,1),(91,1),(159,1),(168,1),(331,1),(332,1),(351,1)}
        60:{2,3,4,6}:{(34,1),(36,1),(84,1),(92,1),(95,1),(150,1),(237,1)}
        61:{2,4,5}:{(35,1),(85,1),(94,1),(95,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(37,1),(86,1),(95,1),(96,1),(97,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(87,1),(96,1),(152,1),(352,1)}
        64:{2,4,5,6}:{(37,1),(39,1),(95,1),(97,1),(98,1)}
        65:{2,5,7}:{(37,1),(38,1),(40,1)}
        66:{1,3,4,5,6}:{(39,1),(41,1),(97,1),(99,1),(100,1),(154,1),(167,1),(179,1),(233,1),(250,1),(339,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(42,1),(77,1),(98,1),(168,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(259,1),(319,1)}
        69:{2,3,4,6,7}:{(43,1),(51,1),(101,1),(104,1),(118,1),(183,1),(192,1),(209,1),(278,1),(286,1),(290,1),(371,1),(411,1)}
        70:{1,3,5,7}:{(43,1),(45,1),(46,1),(54,1),(101,1),(102,1),(103,1),(363,1),(365,1)}
        71:{1,3,4,7}:{(44,1),(56,1),(104,1),(105,1),(380,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(57,1),(102,1),(105,1),(106,1),(187,1)}
        73:{1,2,5,6}:{(45,1),(103,1),(106,1),(281,1),(287,1)}
        74:{2,4,5,7}:{(46,1),(61,1),(102,1),(108,1),(109,1),(133,1),(405,1),(424,1)}
        75:{2,3,5,6}:{(46,1),(103,1),(109,1),(192,1),(194,1),(281,1)}
        76:{2,5,6,7}:{(47,1),(65,1),(111,1),(296,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(67,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(195,1),(203,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(282,1)}
        81:{2,4,5,7}:{(52,1),(53,1),(115,1),(116,1),(206,1),(209,1),(304,1),(378,1)}
        82:{2,3,5}:{(51,1),(54,1),(116,1)}
        83:{2,3,6}:{(52,1),(55,1),(115,1)}
        84:{1,3,4,6}:{(53,1),(55,1),(60,1),(115,1),(119,1),(122,1),(208,1),(285,1)}
        85:{1,4,5}:{(54,1),(61,1),(116,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(58,1),(62,1),(117,1),(122,1),(123,1)}
        87:{1,3,6,7}:{(55,1),(59,1),(63,1),(118,1),(123,1),(380,1)}
        88:{2,3,4,6}:{(56,1),(104,1),(125,1),(126,1),(192,1),(215,1),(222,1),(303,1),(314,1),(377,1)}
        89:{1,3,5}:{(56,1),(57,1),(126,1)}
        90:{1,2,4,5,6}:{(57,1),(58,1),(64,1),(106,1),(122,1),(127,1),(128,1),(136,1),(185,1),(205,1),(215,1),(226,1),(281,1),(297,1),(308,1),(311,1),(364,1),(375,1),(402,1),(409,1)}
        91:{1,2,5,7}:{(58,1),(59,1),(65,1),(123,1),(206,1),(365,1)}
        92:{2,3,5,6}:{(60,1),(119,1),(129,1),(130,1),(194,1),(281,1)}
        93:{2,3,4,6,7}:{(60,1),(63,1),(120,1),(130,1),(133,1),(198,1),(220,1),(286,1),(306,1),(374,1)}
        94:{3,4,5}:{(61,1),(132,1)}
        95:{2,4,6}:{(61,1),(62,1),(122,1),(132,1),(133,1)}
        96:{2,3,5,7}:{(62,1),(63,1),(65,1),(123,1),(133,1),(135,1)}
        97:{3,5,6}:{(64,1),(132,1),(135,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(67,1),(111,1),(133,1),(135,1)}
        99:{2,4,5,6}:{(66,1),(134,1),(136,1),(137,1),(215,1),(226,1),(281,1)}
       100:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(135,1),(137,1),(202,1),(216,1),(227,1),(282,1),(298,1),(373,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(82,1),(138,1),(139,1),(319,1),(328,1),(333,1)}
       102:{1,4,5,7}:{(70,1),(74,1),(85,1),(138,1),(141,1),(168,1),(391,1),(420,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(75,1),(139,1),(141,1),(146,1),(240,1),(327,1)}
       104:{2,3,4,7}:{(71,1),(88,1),(144,1),(145,1),(266,1),(352,1),(400,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(89,1),(145,1),(146,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(141,1),(146,1),(237,1)}
       107:{1,2,5,6,7}:{(73,1),(76,1),(91,1),(142,1),(147,1),(157,1),(253,1),(254,1),(328,1),(332,1),(390,1),(393,1),(417,1)}
       108:{3,4,5,7}:{(74,1),(94,1),(150,1),(178,1),(244,1),(414,1),(426,1)}
       109:{2,4,6}:{(74,1),(75,1),(141,1),(150,1)}
       110:{2,3,5,6,7}:{(75,1),(76,1),(96,1),(142,1),(151,1),(152,1),(241,1),(244,1),(328,1),(417,1),(419,1),(425,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(98,1),(152,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(100,1),(152,1),(153,1),(155,1),(249,1),(252,1),(341,1)}
       113:{3,5,6,7}:{(79,1),(152,1),(155,1),(244,1)}
       114:{2,5,6,7}:{(80,1),(153,1),(157,1),(328,1)}
       115:{2,4,6}:{(81,1),(83,1),(84,1),(158,1)}
       116:{2,4,5}:{(82,1),(85,1),(160,1),(161,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(158,1),(161,1),(162,1),(255,1)}
       118:{2,3,6,7}:{(83,1),(87,1),(159,1),(162,1),(342,1),(400,1)}
       119:{1,3,5,6}:{(84,1),(92,1),(158,1),(163,1),(164,1),(255,1),(327,1)}
       120:{1,3,4,6,7}:{(84,1),(87,1),(93,1),(159,1),(164,1),(168,1),(259,1),(260,1),(331,1),(342,1),(347,1),(398,1)}
       121:{1,3,4,5}:{(85,1),(89,1),(94,1),(160,1),(166,1),(167,1),(338,1),(391,1),(414,1)}
       122:{1,4,6}:{(85,1),(86,1),(95,1),(161,1),(168,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(91,1),(96,1),(162,1),(168,1)}
       124:{1,2,3,6}:{(143,1),(165,1),(169,1),(350,1)}
       125:{1,3,4,6}:{(88,1),(144,1),(169,1),(170,1),(240,1),(263,1),(265,1),(350,1)}
       126:{2,3,5}:{(88,1),(89,1),(166,1),(170,1)}
       127:{1,3,5,6}:{(89,1),(90,1),(97,1),(146,1),(167,1),(171,1),(172,1),(255,1),(339,1),(350,1),(415,1)}
       128:{1,2,4,5,7}:{(90,1),(91,1),(98,1),(147,1),(168,1),(172,1),(181,1),(234,1),(256,1),(266,1),(273,1),(328,1),(340,1),(349,1),(351,1),(393,1),(399,1),(416,1),(420,1)}
       129:{2,4,5,6}:{(92,1),(95,1),(163,1),(174,1),(175,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(164,1),(175,1),(244,1),(328,1)}
       131:{2,3,4,5}:{(94,1),(166,1),(176,1),(177,1),(338,1),(345,1)}
       132:{3,4,6}:{(94,1),(95,1),(97,1),(178,1)}
       133:{2,4,7}:{(95,1),(96,1),(168,1),(178,1)}
       134:{2,3,5,6}:{(97,1),(99,1),(177,1),(179,1),(180,1),(339,1)}
       135:{3,5,7}:{(97,1),(98,1),(152,1),(178,1)}
       136:{1,4,5,6}:{(99,1),(179,1),(181,1),(265,1),(327,1)}
       137:{2,4,5,7}:{(99,1),(100,1),(153,1),(180,1),(181,1),(266,1),(273,1),(328,1)}
       138:{2,4,5,7}:{(101,1),(102,1),(116,1),(182,1),(183,1),(209,1),(368,1),(411,1)}
       139:{2,3,5,6}:{(101,1),(103,1),(183,1),(192,1),(274,1),(281,1)}
       140:{1,3,4,5,7}:{(102,1),(105,1),(108,1),(121,1),(182,1),(187,1),(188,1),(216,1),(282,1)}
       141:{1,4,6}:{(102,1),(103,1),(109,1),(183,1)}
       142:{1,3,5,6,7}:{(103,1),(107,1),(110,1),(123,1),(184,1),(189,1),(193,1),(282,1),(288,1),(365,1),(410,1)}
       143:{1,2,3,7}:{(124,1),(190,1),(380,1)}
       144:{1,3,4,7}:{(104,1),(125,1),(190,1),(191,1),(312,1),(380,1)}
       145:{2,3,5,7}:{(104,1),(105,1),(126,1),(187,1),(191,1),(192,1)}
       146:{1,3,6}:{(105,1),(106,1),(192,1)}
       147:{1,2,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(189,1),(193,1),(200,1),(286,1),(296,1),(299,1),(300,1),(379,1),(412,1),(421,1)}
       148:{2,4,5,6}:{(109,1),(185,1),(194,1),(195,1),(281,1)}
       149:{2,3,4,5,7}:{(108,1),(131,1),(187,1),(196,1),(197,1),(225,1),(292,1),(359,1),(405,1),(424,1)}
       150:{3,4,6}:{(108,1),(109,1),(194,1)}
       151:{2,4,6,7}:{(109,1),(110,1),(133,1),(189,1),(195,1),(198,1),(424,1)}
       152:{3,6,7}:{(111,1),(135,1)}
       153:{2,4,6,7}:{(112,1),(114,1),(137,1),(199,1),(200,1),(296,1)}
       154:{3,4,5,6}:{(194,1),(201,1),(202,1),(422,1)}
       155:{3,4,6,7}:{(113,1),(202,1),(203,1)}
       156:{2,3,5,6,7}:{(113,1),(114,1),(199,1),(203,1),(204,1),(292,1)}
       157:{1,5,6,7}:{(114,1),(200,1),(365,1)}
       158:{2,5,6}:{(115,1),(119,1),(206,1)}
       159:{2,4,6,7}:{(115,1),(118,1),(120,1),(206,1),(209,1),(378,1),(412,1)}
       160:{3,4,5}:{(116,1),(208,1)}
       161:{2,4,6}:{(116,1),(117,1),(122,1),(208,1),(209,1)}
       162:{2,3,5,7}:{(117,1),(118,1),(123,1),(206,1),(209,1),(302,1)}
       163:{1,4,5,6}:{(119,1),(122,1),(129,1),(205,1),(212,1)}
       164:{1,3,5,7}:{(119,1),(120,1),(130,1),(206,1),(212,1),(302,1),(365,1)}
       165:{1,2,3,5}:{(124,1),(213,1),(217,1),(310,1)}
       166:{2,4,5}:{(121,1),(126,1),(214,1),(215,1)}
       167:{1,3,4,6}:{(121,1),(122,1),(127,1),(132,1),(208,1),(215,1),(216,1),(372,1),(409,1),(422,1)}
       168:{1,4,7}:{(122,1),(123,1),(133,1),(209,1)}
       169:{1,2,4,6}:{(124,1),(125,1),(190,1),(213,1),(217,1),(287,1)}
       170:{1,3,5}:{(125,1),(126,1),(214,1),(217,1)}
       171:{2,3,5,6}:{(126,1),(127,1),(192,1),(215,1),(218,1),(219,1),(226,1),(281,1),(314,1),(375,1),(377,1)}
       172:{1,3,5,7}:{(127,1),(128,1),(135,1),(193,1),(216,1),(219,1),(302,1),(373,1),(380,1),(423,1)}
       173:{2,3,5,6,7}:{(130,1),(210,1),(220,1),(289,1),(362,1),(374,1)}
       174:{3,4,5,6}:{(129,1),(132,1),(194,1),(221,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(133,1),(212,1),(220,1),(221,1)}
       176:{1,3,4,5}:{(131,1),(214,1),(223,1),(224,1),(310,1)}
       177:{2,3,4,6}:{(131,1),(132,1),(134,1),(215,1),(224,1),(225,1),(372,1),(377,1)}
       178:{3,4,7}:{(132,1),(133,1),(135,1)}
       179:{1,3,5,6}:{(134,1),(136,1),(224,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(134,1),(135,1),(137,1),(199,1),(225,1),(227,1),(373,1)}
       181:{1,4,5,7}:{(136,1),(137,1),(200,1),(227,1),(312,1),(365,1)}
       182:{3,4,5,7}:{(138,1),(160,1),(230,1),(259,1),(319,1),(338,1),(397,1)}
       183:{2,4,6}:{(138,1),(139,1),(141,1),(230,1)}
       184:{2,3,5,6,7}:{(139,1),(142,1),(162,1),(231,1),(241,1),(253,1),(254,1),(319,1),(328,1),(341,1),(342,1),(396,1)}
       185:{1,4,5,6}:{(141,1),(148,1),(228,1),(233,1),(234,1),(327,1)}
       186:{1,2,3,5,7}:{(143,1),(165,1),(232,1),(235,1),(239,1),(326,1),(329,1)}
       187:{2,4,5,7}:{(140,1),(145,1),(166,1),(236,1),(237,1),(266,1),(328,1)}
       188:{1,3,4,6}:{(140,1),(141,1),(146,1),(150,1),(230,1),(233,1),(237,1)}
       189:{1,4,6,7}:{(141,1),(142,1),(151,1),(168,1),(231,1),(234,1),(420,1)}
       190:{1,2,4,7}:{(143,1),(144,1),(169,1),(239,1)}
       191:{1,3,5,7}:{(144,1),(145,1),(170,1),(236,1),(239,1),(240,1)}
       192:{2,3,6}:{(145,1),(146,1),(237,1),(240,1)}
       193:{1,3,6,7}:{(146,1),(147,1),(152,1),(172,1),(241,1),(341,1),(342,1),(425,1)}
       194:{3,5,6}:{(148,1),(150,1),(244,1)}
       195:{2,4,5,7}:{(148,1),(151,1),(234,1),(244,1),(328,1)}
       196:{1,3,4,5,7}:{(149,1),(176,1),(236,1),(246,1),(247,1),(272,1),(329,1),(335,1),(338,1),(391,1),(397,1),(420,1)}
       197:{2,3,4,6}:{(149,1),(150,1),(237,1),(243,1),(247,1),(388,1),(418,1)}
       198:{3,4,6,7}:{(150,1),(151,1),(152,1),(178,1),(244,1),(425,1),(426,1)}
       199:{2,3,6,7}:{(152,1),(153,1),(180,1),(249,1),(341,1)}
       200:{1,4,6,7}:{(153,1),(157,1),(181,1),(249,1)}
       201:{2,4,5,6}:{(154,1),(243,1),(250,1),(251,1),(418,1)}
       202:{3,4,5,7}:{(154,1),(155,1),(244,1),(251,1),(426,1)}
       203:{2,4,6,7}:{(155,1),(156,1),(251,1),(252,1)}
       204:{1,3,5,6,7}:{(156,1),(157,1),(249,1),(252,1),(253,1),(335,1),(341,1)}
       205:{2,4,5,6}:{(158,1),(161,1),(163,1),(255,1),(256,1)}
       206:{2,5,7}:{(158,1),(159,1),(164,1)}
       207:{2,3,4,5}:{(160,1),(166,1),(257,1),(258,1),(270,1),(414,1)}
       208:{3,4,6}:{(160,1),(161,1),(255,1),(259,1)}
       209:{2,4,7}:{(161,1),(162,1),(168,1),(259,1)}
       210:{1,3,5,6,7}:{(164,1),(173,1),(254,1),(260,1),(342,1),(390,1),(398,1)}
       211:{1,3,4,5,6}:{(163,1),(167,1),(174,1),(233,1),(255,1),(261,1),(262,1),(316,1),(343,1),(382,1),(415,1)}
       212:{1,4,5,7}:{(163,1),(164,1),(168,1),(175,1),(256,1),(260,1)}
       213:{1,2,4}:{(165,1),(263,1)}
       214:{1,4,5}:{(166,1),(170,1),(265,1)}
       215:{2,4,6}:{(166,1),(167,1),(171,1),(265,1),(266,1)}
       216:{1,3,4,7}:{(167,1),(168,1),(172,1),(178,1),(259,1),(266,1),(397,1),(420,1),(426,1)}
       217:{1,2,5}:{(169,1),(170,1)}
       218:{1,3,5,6}:{(170,1),(171,1),(240,1),(265,1),(267,1),(268,1),(327,1),(350,1)}
       219:{2,3,5,7}:{(171,1),(172,1),(241,1),(266,1),(268,1),(273,1),(328,1),(352,1),(399,1),(400,1)}
       220:{2,4,6,7}:{(173,1),(175,1),(260,1),(269,1)}
       221:{3,4,5,7}:{(174,1),(175,1),(178,1),(244,1),(269,1)}
       222:{2,3,4}:{(263,1),(270,1)}
       223:{2,4,5}:{(176,1),(270,1),(271,1)}
       224:{1,3,4,6}:{(176,1),(177,1),(179,1),(265,1),(271,1),(272,1),(350,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(180,1),(266,1),(272,1),(397,1),(400,1)}
       226:{2,5,6}:{(179,1),(271,1),(273,1)}
       227:{1,3,5,7}:{(179,1),(180,1),(181,1),(249,1),(272,1),(273,1)}
       228:{2,4,5,6}:{(183,1),(185,1),(274,1),(275,1),(281,1)}
       229:{2,3,4,5,7}:{(182,1),(187,1),(207,1),(276,1),(277,1),(293,1),(306,1),(358,1),(368,1),(411,1)}
       230:{3,4,6}:{(182,1),(183,1),(274,1)}
       231:{2,4,6,7}:{(183,1),(184,1),(189,1),(209,1),(275,1),(278,1),(411,1)}
       232:{1,2,3,6}:{(186,1),(280,1),(287,1),(366,1)}
       233:{1,3,5,6}:{(185,1),(188,1),(194,1),(274,1),(281,1),(282,1)}
       234:{1,4,5,7}:{(185,1),(189,1),(195,1),(275,1),(282,1),(365,1)}
       235:{1,2,4,7}:{(186,1),(213,1),(280,1),(283,1)}
       236:{1,4,5,7}:{(187,1),(191,1),(214,1),(285,1),(312,1),(365,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(281,1),(285,1)}
       238:{1,3,4,6,7}:{(188,1),(189,1),(193,1),(198,1),(216,1),(278,1),(282,1),(286,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(217,1),(287,1)}
       240:{1,3,6}:{(191,1),(192,1),(285,1),(287,1)}
       241:{2,3,6,7}:{(192,1),(193,1),(219,1),(286,1),(288,1),(296,1),(412,1)}
       242:{2,4,5,6,7}:{(195,1),(220,1),(279,1),(289,1),(362,1),(421,1)}
       243:{2,3,5,6}:{(194,1),(197,1),(201,1),(281,1),(291,1),(292,1)}
       244:{3,5,7}:{(194,1),(195,1),(198,1)}
       245:{2,3,4,7}:{(222,1),(283,1),(290,1),(293,1),(411,1)}
       246:{2,4,5,7}:{(196,1),(223,1),(293,1),(294,1),(315,1),(368,1),(370,1),(411,1)}
       247:{1,3,4,6}:{(196,1),(197,1),(285,1),(291,1),(294,1),(366,1),(372,1),(409,1)}
       248:{2,3,4,6,7}:{(197,1),(198,1),(199,1),(203,1),(225,1),(286,1),(292,1),(295,1),(408,1),(424,1)}
       249:{1,3,6,7}:{(199,1),(200,1),(227,1),(296,1)}
       250:{1,4,5,6}:{(201,1),(291,1),(297,1),(298,1),(409,1)}
       251:{2,4,5,7}:{(201,1),(202,1),(203,1),(292,1),(298,1),(424,1)}
       252:{1,4,6,7}:{(203,1),(204,1),(298,1),(299,1)}
       253:{2,5,6,7}:{(204,1),(296,1),(299,1),(370,1)}
       254:{2,5,6,7}:{(206,1),(210,1),(300,1),(412,1)}
       255:{3,5,6}:{(205,1),(208,1),(302,1)}
       256:{2,4,5,7}:{(205,1),(206,1),(209,1),(212,1),(300,1),(302,1)}
       257:{1,3,4,5}:{(207,1),(214,1),(304,1),(305,1),(310,1)}
       258:{2,3,4,6}:{(207,1),(208,1),(215,1),(301,1),(305,1),(306,1),(314,1),(422,1)}
       259:{3,4,7}:{(208,1),(209,1),(302,1)}
       260:{1,4,6,7}:{(210,1),(212,1),(220,1),(300,1)}
       261:{2,4,5,6}:{(211,1),(215,1),(281,1),(301,1),(308,1),(309,1),(375,1)}
       262:{1,3,4,5,7}:{(211,1),(212,1),(216,1),(221,1),(282,1),(302,1),(307,1),(309,1),(354,1),(376,1),(403,1),(423,1)}
       263:{1,3,4}:{(213,1),(222,1),(303,1),(310,1)}
       264:{1,2,4,5}:{(213,1),(214,1),(217,1),(223,1),(304,1),(310,1),(311,1)}
       265:{1,4,6}:{(214,1),(215,1),(218,1),(312,1)}
       266:{2,4,7}:{(215,1),(216,1),(219,1),(312,1)}
       267:{1,2,5,6}:{(217,1),(218,1),(226,1),(287,1),(311,1),(313,1),(375,1)}
       268:{1,3,5,7}:{(218,1),(219,1),(288,1),(312,1),(313,1),(365,1),(380,1)}
       269:{3,4,6,7}:{(220,1),(221,1),(289,1)}
       270:{2,3,5}:{(222,1),(223,1),(310,1),(314,1)}
       271:{2,4,6}:{(223,1),(224,1),(226,1),(314,1),(315,1)}
       272:{1,3,4,7}:{(224,1),(225,1),(227,1),(312,1),(315,1),(380,1)}
       273:{2,5,7}:{(226,1),(227,1),(296,1),(315,1)}
       274:{3,5,6}:{(228,1),(230,1),(319,1)}
       275:{2,4,5,7}:{(228,1),(231,1),(234,1),(319,1),(328,1)}
       276:{1,3,4,5,7}:{(229,1),(236,1),(257,1),(321,1),(322,1),(329,1),(347,1),(387,1),(391,1),(414,1),(420,1),(426,1)}
       277:{2,3,4,6}:{(229,1),(230,1),(237,1),(318,1),(322,1),(336,1),(395,1)}
       278:{3,4,6,7}:{(230,1),(231,1),(259,1),(319,1),(341,1),(342,1),(397,1)}
       279:{1,4,5,6,7}:{(234,1),(242,1),(260,1),(317,1),(324,1),(390,1),(413,1)}
       280:{1,2,4,6}:{(232,1),(235,1),(325,1),(326,1)}
       281:{2,5,6}:{(233,1),(237,1),(327,1),(328,1)}
       282:{1,3,5,7}:{(233,1),(234,1),(238,1),(244,1),(319,1),(328,1)}
       283:{1,3,4,7}:{(235,1),(245,1),(263,1),(320,1),(325,1),(329,1),(420,1)}
       284:{1,2,4,5,7}:{(235,1),(236,1),(239,1),(246,1),(264,1),(321,1),(326,1),(329,1),(330,1),(351,1),(391,1),(393,1),(420,1)}
       285:{1,4,6}:{(236,1),(237,1),(240,1),(327,1)}
       286:{2,4,6,7}:{(237,1),(238,1),(241,1),(266,1),(328,1),(331,1)}
       287:{1,2,6}:{(239,1),(240,1)}
       288:{1,3,6,7}:{(240,1),(241,1),(268,1),(331,1),(332,1)}
       289:{3,5,6,7}:{(242,1),(244,1),(269,1),(425,1)}
       290:{2,3,4,6}:{(245,1),(325,1),(333,1),(336,1),(395,1)}
       291:{1,3,5,6}:{(243,1),(247,1),(250,1),(327,1),(334,1),(335,1),(339,1)}
       292:{2,3,5,7}:{(243,1),(244,1),(248,1),(251,1),(328,1),(335,1)}
       293:{2,3,5,7}:{(245,1),(246,1),(270,1),(329,1),(333,1),(336,1),(352,1)}
       294:{2,4,6}:{(246,1),(247,1),(334,1),(336,1)}
       295:{1,3,4,6,7}:{(247,1),(248,1),(249,1),(252,1),(272,1),(331,1),(335,1),(337,1),(341,1),(394,1),(397,1),(420,1)}
       296:{2,6,7}:{(249,1),(273,1)}
       297:{2,4,5,6}:{(250,1),(334,1),(339,1),(340,1),(395,1)}
       298:{1,4,5,7}:{(250,1),(251,1),(252,1),(335,1),(340,1),(420,1)}
       299:{2,4,6,7}:{(252,1),(253,1),(340,1),(341,1)}
       300:{2,4,6,7}:{(254,1),(256,1),(260,1),(342,1)}
       301:{2,3,5,6}:{(255,1),(258,1),(261,1),(343,1),(344,1),(415,1)}
       302:{3,5,7}:{(255,1),(256,1),(259,1),(342,1)}
       303:{2,3,4}:{(263,1),(345,1)}
       304:{2,4,5}:{(257,1),(345,1),(346,1)}
       305:{1,3,4,6}:{(257,1),(258,1),(265,1),(343,1),(346,1),(347,1),(350,1)}
       306:{2,3,4,7}:{(258,1),(259,1),(266,1),(344,1),(347,1),(352,1),(426,1)}
       307:{1,3,4,6,7}:{(260,1),(262,1),(269,1),(324,1),(342,1),(348,1),(381,1),(398,1),(413,1),(425,1)}
       308:{1,4,5,6}:{(261,1),(265,1),(327,1),(343,1),(349,1)}
       309:{2,4,5,7}:{(261,1),(262,1),(266,1),(328,1),(344,1),(348,1),(349,1),(399,1)}
       310:{1,3,5}:{(263,1),(264,1),(270,1),(345,1),(350,1)}
       311:{1,2,4,6}:{(264,1),(265,1),(267,1),(271,1),(346,1),(350,1),(351,1)}
       312:{1,4,7}:{(265,1),(266,1),(268,1)}
       313:{1,2,5,7}:{(267,1),(268,1),(273,1),(332,1),(351,1),(399,1)}
       314:{2,3,6}:{(270,1),(271,1),(350,1),(352,1)}
       315:{2,4,7}:{(271,1),(272,1),(273,1),(352,1)}
       316:{3,4,5,6}:{(274,1),(353,1),(354,1),(372,1)}
       317:{2,4,5,6,7}:{(275,1),(279,1),(300,1),(355,1),(362,1),(401,1)}
       318:{2,3,5,6}:{(274,1),(277,1),(281,1),(353,1),(357,1),(358,1)}
       319:{3,5,7}:{(274,1),(275,1),(278,1)}
       320:{2,3,4,7}:{(283,1),(303,1),(356,1),(359,1),(424,1)}
       321:{2,4,5,7}:{(276,1),(304,1),(359,1),(360,1),(378,1),(405,1),(407,1),(424,1)}
       322:{1,3,4,6}:{(276,1),(277,1),(285,1),(357,1),(360,1),(366,1),(409,1),(422,1)}
       323:{2,3,4,6,7}:{(277,1),(278,1),(286,1),(306,1),(358,1),(361,1),(371,1),(374,1),(401,1),(411,1)}
       324:{1,3,5,6,7}:{(279,1),(282,1),(289,1),(307,1),(355,1),(362,1)}
       325:{1,3,4,6}:{(280,1),(283,1),(290,1),(356,1),(363,1),(366,1),(409,1)}
       326:{1,2,5}:{(280,1),(363,1)}
       327:{1,5,6}:{(281,1),(285,1),(365,1)}
       328:{2,5,7}:{(281,1),(282,1),(286,1),(365,1)}
       329:{1,3,5,7}:{(283,1),(284,1),(293,1),(310,1),(359,1),(363,1),(366,1),(380,1)}
       330:{1,2,4,6}:{(284,1),(285,1),(287,1),(294,1),(360,1),(364,1),(366,1),(409,1)}
       331:{1,4,6,7}:{(285,1),(286,1),(288,1),(312,1),(365,1)}
       332:{1,2,6,7}:{(287,1),(288,1),(296,1),(313,1),(412,1)}
       333:{2,3,5}:{(290,1),(363,1),(368,1)}
       334:{2,5,6}:{(291,1),(294,1),(370,1)}
       335:{1,3,5,7}:{(291,1),(292,1),(295,1),(298,1),(365,1),(370,1),(373,1)}
       336:{2,3,6}:{(293,1),(294,1),(366,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(296,1),(315,1),(370,1),(371,1),(411,1)}
       338:{3,4,5}:{(368,1),(372,1)}
       339:{3,5,6}:{(297,1),(372,1),(373,1)}
       340:{2,4,5,7}:{(297,1),(298,1),(299,1),(370,1),(373,1),(411,1)}
       341:{3,6,7}:{(299,1),(373,1)}
       342:{3,6,7}:{(300,1),(302,1)}
       343:{1,3,5,6}:{(301,1),(305,1),(308,1),(375,1),(376,1)}
       344:{2,3,5,7}:{(301,1),(302,1),(306,1),(309,1),(374,1),(376,1),(423,1)}
       345:{2,3,5}:{(303,1),(304,1),(310,1),(377,1)}
       346:{2,4,6}:{(304,1),(305,1),(375,1),(377,1),(378,1)}
       347:{1,3,4,7}:{(305,1),(306,1),(312,1),(376,1),(378,1),(380,1)}
       348:{2,4,6,7}:{(307,1),(309,1),(362,1),(374,1),(379,1),(412,1)}
       349:{1,4,5,7}:{(308,1),(309,1),(312,1),(365,1),(376,1),(379,1)}
       350:{1,3,6}:{(310,1),(311,1),(314,1),(377,1),(380,1)}
       351:{1,2,4,7}:{(311,1),(312,1),(313,1),(315,1),(378,1),(380,1)}
       352:{2,3,7}:{(314,1),(315,1),(380,1)}
       353:{2,4,5,6}:{(316,1),(318,1),(382,1),(383,1),(395,1)}
       354:{3,4,5,7}:{(316,1),(319,1),(381,1),(383,1),(397,1)}
       355:{3,5,6,7}:{(317,1),(319,1),(342,1),(381,1)}
       356:{2,3,4,6}:{(320,1),(325,1),(385,1),(388,1),(418,1)}
       357:{1,3,5,6}:{(318,1),(322,1),(327,1),(382,1),(386,1),(387,1),(415,1)}
       358:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(383,1),(387,1)}
       359:{2,3,5,7}:{(320,1),(321,1),(329,1),(345,1),(385,1),(388,1),(400,1)}
       360:{2,4,6}:{(321,1),(322,1),(386,1),(388,1)}
       361:{1,3,4,6,7}:{(322,1),(323,1),(331,1),(347,1),(387,1),(389,1),(394,1),(398,1),(413,1),(420,1),(425,1),(426,1)}
       362:{2,5,6,7}:{(324,1),(328,1),(348,1),(390,1)}
       363:{1,3,5}:{(325,1),(326,1),(333,1),(385,1),(391,1)}
       364:{1,2,5,6}:{(326,1),(327,1),(330,1),(334,1),(386,1),(392,1),(393,1)}
       365:{1,5,7}:{(327,1),(328,1),(331,1)}
       366:{1,3,6}:{(329,1),(330,1),(336,1),(388,1)}
       367:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(337,1),(351,1),(389,1),(393,1),(394,1),(420,1)}
       368:{2,4,5}:{(333,1),(338,1),(391,1),(395,1)}
       369:{2,3,5,6}:{(333,1),(334,1),(336,1),(339,1),(392,1),(395,1),(396,1)}
       370:{2,5,7}:{(334,1),(335,1),(337,1)}
       371:{2,3,6,7}:{(336,1),(337,1),(341,1),(352,1),(394,1),(396,1)}
       372:{3,4,6}:{(338,1),(339,1),(395,1),(397,1)}
       373:{3,5,7}:{(339,1),(340,1),(341,1),(397,1)}
       374:{2,3,6,7}:{(342,1),(344,1),(348,1),(398,1),(425,1)}
       375:{2,5,6}:{(343,1),(346,1),(399,1)}
       376:{1,3,5,7}:{(343,1),(344,1),(347,1),(349,1),(398,1),(399,1)}
       377:{2,3,6}:{(345,1),(346,1),(350,1),(400,1)}
       378:{2,4,7}:{(346,1),(347,1),(399,1),(400,1)}
       379:{1,4,6,7}:{(348,1),(349,1),(390,1),(398,1)}
       380:{1,3,7}:{(350,1),(351,1),(352,1),(400,1)}
       381:{3,4,6,7}:{(354,1),(355,1),(401,1)}
       382:{1,4,5,6}:{(353,1),(357,1),(402,1),(403,1),(409,1)}
       383:{2,4,5,7}:{(353,1),(354,1),(358,1),(401,1),(403,1),(411,1)}
       384:{2,3,5,6,7}:{(355,1),(358,1),(362,1),(374,1),(401,1),(404,1)}
       385:{2,3,5}:{(356,1),(363,1),(405,1)}
       386:{2,5,6}:{(357,1),(360,1),(407,1)}
       387:{1,3,5,7}:{(357,1),(358,1),(361,1),(365,1),(403,1),(407,1),(423,1)}
       388:{2,3,6}:{(359,1),(360,1),(366,1)}
       389:{2,4,6,7}:{(360,1),(361,1),(378,1),(407,1),(408,1),(412,1),(424,1)}
       390:{1,5,6,7}:{(362,1),(365,1),(379,1)}
       391:{1,4,5}:{(363,1),(368,1),(405,1),(409,1)}
       392:{1,3,5,6}:{(363,1),(364,1),(366,1),(369,1),(406,1),(409,1),(410,1)}
       393:{1,2,5,7}:{(364,1),(365,1),(367,1),(370,1),(407,1),(410,1)}
       394:{1,3,6,7}:{(366,1),(367,1),(371,1),(380,1),(408,1),(410,1)}
       395:{2,4,6}:{(368,1),(369,1),(372,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(369,1),(370,1),(371,1),(373,1),(410,1),(411,1)}
       397:{3,4,7}:{(372,1),(373,1),(411,1)}
       398:{1,3,6,7}:{(374,1),(376,1),(379,1),(412,1)}
       399:{2,5,7}:{(375,1),(376,1),(378,1),(412,1)}
       400:{2,3,7}:{(377,1),(378,1),(380,1)}
       401:{2,4,6,7}:{(381,1),(383,1),(384,1),(413,1)}
       402:{2,4,5,6}:{(382,1),(386,1),(415,1),(416,1),(418,1)}
       403:{1,4,5,7}:{(382,1),(383,1),(387,1),(413,1),(416,1),(420,1)}
       404:{1,3,5,6,7}:{(384,1),(387,1),(390,1),(398,1),(413,1),(417,1),(425,1)}
       405:{2,4,5}:{(385,1),(391,1),(414,1),(418,1)}
       406:{2,3,5,6}:{(385,1),(386,1),(388,1),(392,1),(415,1),(418,1),(419,1)}
       407:{2,5,7}:{(386,1),(387,1),(389,1)}
       408:{2,3,6,7}:{(388,1),(389,1),(394,1),(400,1),(419,1),(425,1)}
       409:{1,4,6}:{(391,1),(392,1),(395,1),(418,1),(420,1)}
       410:{1,3,5,7}:{(392,1),(393,1),(394,1),(396,1),(419,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(397,1),(420,1)}
       412:{2,6,7}:{(398,1),(399,1)}
       413:{1,4,6,7}:{(401,1),(403,1),(404,1),(421,1)}
       414:{3,4,5}:{(405,1),(422,1)}
       415:{3,5,6}:{(402,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(402,1),(403,1),(407,1),(421,1),(423,1),(424,1)}
       417:{2,5,6,7}:{(404,1),(407,1),(412,1),(421,1)}
       418:{2,4,6}:{(405,1),(406,1),(409,1),(422,1),(424,1)}
       419:{2,3,5,7}:{(406,1),(407,1),(408,1),(410,1),(423,1),(424,1)}
       420:{1,4,7}:{(409,1),(410,1),(411,1),(424,1)}
       421:{2,4,6,7}:{(413,1),(416,1),(417,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(418,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(418,1),(419,1),(420,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2279 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(40,1),(41,1),(92,1),(165,1),(166,1),(236,1),(240,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(65,1),(129,1),(264,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(30,1),(64,1),(125,1),(137,1),(138,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(164,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(280,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(38,1),(87,1),(92,1),(96,1),(165,1),(223,1),(226,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(47,1),(103,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(94,1),(108,1),(109,1),(161,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(117,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(187,1),(254,1)}
        11:{1,3,4,5,6}:{(4,1),(24,1),(25,1),(29,1),(55,1),(68,1),(76,1),(113,1),(136,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(66,1),(71,1),(124,1),(131,1),(137,1),(138,1),(196,1),(203,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(4,1),(22,1),(28,1),(201,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(129,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(257,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(296,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(61,1),(73,1),(119,1),(122,1),(125,1),(137,1),(140,1),(256,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(127,1),(199,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(85,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(15,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(43,1),(49,1),(81,1),(98,1),(106,1),(146,1),(172,1),(215,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(43,1),(44,1),(99,1),(171,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(47,1),(97,1),(103,1),(237,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(41,1),(47,1),(48,1),(105,1),(160,1),(232,1),(236,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(38,1),(49,1),(165,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(103,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(279,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(154,1),(161,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(108,1),(163,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(57,1),(59,1),(61,1),(117,1),(119,1),(122,1),(187,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(30,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,4,5}:{(63,1),(64,1),(141,1),(195,1),(208,1),(247,1)}
        41:{2,3,5,7}:{(27,1),(65,1),(66,1),(131,1),(195,1),(259,1),(297,1)}
        42:{2,3,5,6}:{(25,1),(63,1),(67,1),(68,1),(76,1),(181,1)}
        43:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(69,1),(133,1),(207,1),(257,1)}
        44:{1,4,5,6}:{(25,1),(68,1),(69,1),(206,1),(296,1)}
        45:{1,2,5,6}:{(26,1),(31,1),(71,1),(72,1),(131,1),(204,1),(296,1)}
        46:{1,2,4,6,7}:{(26,1),(32,1),(71,1),(73,1),(130,1),(137,1),(189,1),(196,1),(256,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(65,1),(264,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(66,1),(74,1),(137,1),(198,1),(201,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(61,1),(75,1),(137,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(72,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(73,1),(77,1),(122,1),(199,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(299,1)}
        56:{2,3,4,5,7}:{(40,1),(83,1),(84,1),(92,1),(144,1),(176,1),(217,1),(240,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(144,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(43,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(51,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(40,1),(42,1),(92,1),(93,1),(107,1),(171,1),(216,1),(230,1)}
        64:{1,3,4,5}:{(40,1),(93,1),(94,1),(160,1),(239,1)}
        65:{2,3,6}:{(41,1),(47,1),(97,1),(306,1)}
        66:{2,4,7}:{(41,1),(48,1),(97,1),(231,1)}
        67:{2,3,5,7}:{(42,1),(43,1),(87,1),(92,1),(98,1),(106,1),(215,1)}
        68:{1,3,5,6}:{(42,1),(44,1),(93,1),(98,1),(99,1)}
        69:{1,4,5,7}:{(43,1),(44,1),(88,1),(98,1),(238,1),(279,1)}
        70:{1,2,4,5,6}:{(44,1),(45,1),(50,1),(99,1),(100,1),(101,1),(103,1),(147,1),(159,1),(166,1),(171,1),(212,1),(228,1),(237,1),(239,1),(269,1),(280,1),(282,1),(285,1),(301,1),(306,1),(313,1)}
        71:{1,2,5,7}:{(45,1),(46,1),(51,1),(102,1),(167,1),(279,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(52,1),(95,1),(102,1),(103,1),(105,1)}
        73:{1,3,6,7}:{(46,1),(47,1),(53,1),(96,1),(102,1),(232,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(97,1),(103,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(90,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(102,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(103,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(104,1),(108,1),(110,1),(157,1),(177,1),(226,1),(234,1),(284,1)}
        80:{2,3,5}:{(54,1),(105,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(64,1),(115,1),(116,1),(125,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(60,1),(117,1),(118,1),(119,1),(178,1),(187,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(187,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(69,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(71,1),(118,1),(120,1),(121,1),(189,1),(204,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(77,1),(121,1),(122,1),(123,1),(143,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(125,1),(140,1),(207,1),(246,1),(259,1)}
        93:{1,3,4,6}:{(63,1),(64,1),(68,1),(125,1),(126,1),(197,1),(206,1)}
        94:{2,4,5}:{(64,1),(126,1),(127,1)}
        95:{2,3,5,6}:{(65,1),(72,1),(128,1),(129,1),(131,1),(202,1),(204,1),(264,1)}
        96:{2,3,6,7}:{(65,1),(73,1),(128,1),(130,1),(259,1),(264,1)}
        97:{2,4,6}:{(65,1),(66,1),(74,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(69,1),(119,1),(125,1),(133,1)}
        99:{2,5,6}:{(68,1),(126,1),(133,1)}
       100:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(75,1),(120,1),(133,1),(135,1),(137,1),(180,1),(192,1),(196,1),(203,1),(207,1),(242,1),(257,1),(265,1),(288,1),(297,1),(309,1)}
       101:{1,3,5,6}:{(70,1),(76,1),(134,1),(135,1),(136,1),(181,1),(197,1),(202,1),(262,1),(264,1),(298,1),(308,1),(314,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(128,1),(137,1)}
       103:{1,4,6}:{(72,1),(78,1),(129,1),(137,1),(138,1)}
       104:{1,3,4,6,7}:{(73,1),(74,1),(79,1),(130,1),(137,1),(139,1),(201,1),(210,1),(256,1),(261,1),(264,1),(298,1)}
       105:{1,3,5}:{(74,1),(80,1),(131,1),(138,1),(202,1)}
       106:{3,5,7}:{(75,1),(76,1),(122,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(137,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(138,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(139,1),(142,1),(143,1),(193,1),(257,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(229,1),(280,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(149,1),(157,1),(226,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(94,1),(150,1),(151,1),(161,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(154,1),(213,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(100,1),(152,1),(154,1),(155,1),(156,1),(226,1),(237,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(102,1),(153,1),(155,1),(156,1),(175,1),(225,1),(227,1),(268,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(108,1),(156,1),(157,1),(158,1),(177,1),(300,1),(313,1)}
       124:{1,2,4,5}:{(94,1),(159,1),(160,1),(231,1),(239,1),(282,1)}
       125:{1,3,4,7}:{(92,1),(93,1),(98,1),(161,1),(232,1),(238,1)}
       126:{2,4,6}:{(93,1),(94,1),(99,1),(161,1),(162,1)}
       127:{2,3,5}:{(94,1),(160,1),(162,1),(163,1)}
       128:{2,3,5,7}:{(95,1),(96,1),(102,1),(165,1),(167,1),(236,1)}
       129:{2,4,6}:{(95,1),(103,1),(164,1),(165,1),(166,1)}
       130:{2,4,6,7}:{(96,1),(97,1),(104,1),(165,1),(167,1),(237,1),(281,1),(306,1)}
       131:{2,5}:{(97,1),(105,1)}
       132:{1,2,5,6}:{(99,1),(159,1),(168,1),(169,1),(282,1),(306,1)}
       133:{2,5,7}:{(98,1),(99,1),(154,1),(161,1)}
       134:{2,3,5,6}:{(99,1),(101,1),(162,1),(169,1),(170,1),(171,1),(230,1),(235,1),(280,1),(282,1),(284,1),(306,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(106,1),(155,1),(170,1),(172,1),(215,1),(232,1),(236,1),(312,1)}
       136:{1,3,4,6}:{(101,1),(103,1),(107,1),(164,1),(171,1),(172,1),(173,1),(216,1),(269,1),(299,1)}
       137:{1,4,7}:{(102,1),(103,1),(108,1),(165,1)}
       138:{1,4,5}:{(103,1),(105,1),(109,1),(166,1)}
       139:{1,3,5,7}:{(104,1),(105,1),(110,1),(167,1),(174,1),(175,1),(236,1),(279,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(174,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(175,1),(177,1),(229,1),(280,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(296,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(124,1),(182,1),(183,1),(196,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(297,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(125,1),(178,1),(184,1),(187,1),(246,1),(250,1),(256,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(127,1),(183,1),(185,1),(186,1),(199,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(121,1),(128,1),(187,1),(188,1),(190,1),(204,1),(244,1),(254,1),(257,1),(264,1),(295,1)}
       154:{2,6,7}:{(119,1),(133,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(135,1),(187,1),(190,1),(264,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(137,1),(188,1),(192,1),(210,1),(288,1),(310,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{1,2,4,6}:{(124,1),(126,1),(132,1),(196,1),(197,1),(206,1),(260,1)}
       160:{1,3,5}:{(124,1),(127,1),(195,1),(197,1),(198,1)}
       161:{2,4,7}:{(125,1),(126,1),(133,1),(199,1)}
       162:{2,3,6}:{(126,1),(127,1),(197,1),(199,1)}
       163:{2,3,4}:{(127,1),(198,1)}
       164:{3,4,6}:{(129,1),(201,1),(202,1),(264,1)}
       165:{2,4,7}:{(128,1),(129,1),(137,1),(201,1)}
       166:{2,4,5}:{(129,1),(131,1),(138,1),(202,1)}
       167:{2,5,7}:{(130,1),(131,1),(139,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(133,1),(189,1),(196,1),(205,1),(297,1)}
       169:{1,3,5,6}:{(132,1),(134,1),(197,1),(205,1),(206,1),(262,1),(296,1),(298,1)}
       170:{2,3,5,7}:{(133,1),(134,1),(135,1),(190,1),(199,1),(205,1),(207,1),(257,1),(259,1),(297,1)}
       171:{2,4,6}:{(134,1),(136,1),(206,1),(207,1),(208,1)}
       172:{1,3,4,7}:{(135,1),(136,1),(137,1),(140,1),(201,1),(207,1),(246,1),(288,1),(307,1)}
       173:{1,3,4,5}:{(136,1),(138,1),(141,1),(202,1),(208,1),(247,1),(262,1),(289,1),(308,1)}
       174:{1,4,5,7}:{(137,1),(138,1),(139,1),(142,1),(203,1),(210,1)}
       175:{1,3,5,6}:{(139,1),(143,1),(204,1),(210,1),(264,1),(296,1),(298,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(193,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(210,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(279,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(160,1),(217,1),(219,1),(220,1),(232,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(154,1),(161,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(163,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(156,1),(165,1),(223,1),(224,1),(237,1),(270,1),(303,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(170,1),(225,1),(226,1),(284,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(172,1),(223,1),(226,1),(227,1),(241,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(224,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{2,3,5}:{(160,1),(230,1),(231,1),(282,1)}
       196:{1,2,4,7}:{(159,1),(161,1),(168,1),(232,1),(238,1),(281,1)}
       197:{1,3,6}:{(159,1),(160,1),(162,1),(230,1),(232,1)}
       198:{1,3,4}:{(160,1),(163,1),(231,1)}
       199:{2,3,7}:{(161,1),(162,1),(232,1)}
       200:{2,3,4,6}:{(162,1),(163,1),(164,1),(171,1),(233,1),(234,1),(235,1),(284,1),(299,1)}
       201:{3,4,7}:{(164,1),(165,1),(236,1)}
       202:{3,5}:{(164,1),(166,1)}
       203:{2,4,5,7}:{(165,1),(166,1),(167,1),(174,1),(236,1),(237,1)}
       204:{2,5,6}:{(167,1),(175,1),(237,1),(306,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(170,1),(225,1),(232,1),(238,1),(279,1)}
       206:{1,4,6}:{(169,1),(171,1),(238,1),(239,1)}
       207:{2,4,7}:{(170,1),(171,1),(172,1),(238,1)}
       208:{2,4,5}:{(171,1),(173,1),(235,1),(239,1),(282,1)}
       209:{1,3,4,5,7}:{(172,1),(173,1),(174,1),(176,1),(227,1),(236,1),(240,1),(241,1),(272,1),(283,1),(302,1),(312,1)}
       210:{1,4,6}:{(174,1),(175,1),(177,1),(237,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(296,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(195,1),(248,1),(249,1),(259,1),(293,1),(297,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(189,1),(196,1),(242,1),(250,1),(256,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(198,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(199,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(201,1),(246,1),(254,1),(264,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(192,1),(254,1),(255,1),(257,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(207,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(254,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(210,1),(255,1),(258,1),(296,1),(310,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{2,3,6}:{(195,1),(197,1),(259,1),(260,1)}
       231:{2,4}:{(195,1),(198,1)}
       232:{1,3,7}:{(196,1),(197,1),(199,1),(259,1)}
       233:{1,3,4,6}:{(197,1),(198,1),(200,1),(206,1),(260,1),(261,1),(262,1),(298,1)}
       234:{2,3,4,7}:{(199,1),(200,1),(201,1),(207,1),(261,1),(263,1),(307,1)}
       235:{2,3,5}:{(200,1),(202,1),(208,1),(262,1),(308,1)}
       236:{3,5,7}:{(201,1),(202,1),(203,1),(264,1)}
       237:{2,4,6}:{(203,1),(204,1),(210,1),(264,1)}
       238:{1,4,7}:{(205,1),(206,1),(207,1)}
       239:{1,4,5}:{(206,1),(208,1),(262,1)}
       240:{2,4,5,7}:{(207,1),(208,1),(209,1),(257,1),(263,1),(265,1),(266,1),(297,1)}
       241:{1,3,4,6}:{(209,1),(210,1),(211,1),(258,1),(264,1),(266,1),(291,1),(298,1),(310,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(279,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(231,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(232,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(226,1),(234,1),(270,1),(275,1),(277,1),(284,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(228,1),(237,1),(278,1),(280,1),(303,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(241,1),(278,1),(280,1)}
       259:{2,3,7}:{(230,1),(232,1),(281,1)}
       260:{2,4,6}:{(230,1),(231,1),(233,1),(281,1),(282,1),(306,1)}
       261:{1,3,4,7}:{(232,1),(233,1),(234,1),(238,1),(281,1),(283,1)}
       262:{1,3,5}:{(233,1),(235,1),(239,1),(282,1)}
       263:{2,3,5,7}:{(234,1),(235,1),(236,1),(240,1),(283,1),(284,1),(312,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(240,1),(279,1),(283,1),(285,1)}
       266:{2,4,6}:{(240,1),(241,1),(280,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(259,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(256,1),(261,1),(288,1),(292,1),(294,1),(298,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(257,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(264,1),(291,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(261,1),(297,1)}
       282:{2,5}:{(260,1),(262,1)}
       283:{1,3,5,7}:{(261,1),(262,1),(263,1),(265,1),(297,1),(298,1)}
       284:{2,3,6}:{(263,1),(264,1),(266,1),(298,1),(314,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(281,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(279,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(280,1),(284,1),(303,1),(305,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(283,1),(306,1)}
       298:{1,3,6}:{(283,1),(284,1),(285,1),(306,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(296,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2280 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(26,1),(158,1),(270,1)}
         1:{1,2,3,6,7}:{(5,1),(6,1),(37,1),(44,1),(96,1),(124,1),(232,1),(234,1),(249,1),(314,1)}
         2:{1,4,5,6,7}:{(0,1),(4,1),(7,1),(43,1),(53,1),(105,1),(237,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(215,1),(317,1)}
         4:{2,4,5,6,7}:{(2,1),(13,1),(20,1),(62,1),(93,1),(199,1)}
         5:{1,2,3,5,7}:{(1,1),(14,1),(16,1),(19,1),(75,1),(279,1),(281,1),(293,1),(348,1),(361,1)}
         6:{1,2,4,6,7}:{(1,1),(16,1),(18,1),(19,1),(72,1),(76,1),(81,1),(146,1),(175,1),(287,1)}
         7:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(17,1),(20,1),(288,1)}
         8:{3,4,5,6}:{(21,1),(22,1),(268,1),(370,1)}
         9:{2,3,4,5,7}:{(24,1),(25,1),(65,1),(84,1),(157,1),(165,1),(176,1),(191,1),(290,1),(372,1)}
        10:{3,4,6,7}:{(3,1),(22,1),(26,1)}
        11:{2,3,4,6,7}:{(18,1),(27,1),(73,1),(82,1),(94,1),(177,1),(196,1),(198,1),(254,1),(287,1),(295,1),(353,1),(403,1)}
        12:{2,3,5,6,7}:{(3,1),(20,1),(26,1),(28,1),(74,1),(84,1)}
        13:{3,5,6,7}:{(4,1),(31,1),(143,1),(252,1)}
        14:{1,2,3,5,6}:{(5,1),(34,1),(42,1),(44,1),(96,1),(109,1),(116,1),(124,1),(129,1),(201,1),(224,1),(226,1),(240,1),(305,1),(321,1)}
        15:{1,3,4,5,6}:{(8,1),(29,1),(35,1),(36,1),(46,1),(98,1),(114,1),(134,1),(206,1),(228,1),(235,1)}
        16:{1,2,4,7}:{(5,1),(34,1),(38,1),(328,1),(338,1),(381,1)}
        17:{1,3,4,6,7}:{(7,1),(10,1),(31,1),(36,1),(40,1),(53,1),(105,1),(122,1),(143,1),(215,1)}
        18:{1,3,4,6,7}:{(6,1),(11,1),(32,1),(38,1),(41,1),(119,1),(124,1),(126,1),(128,1),(200,1),(231,1),(249,1),(314,1),(331,1),(338,1),(381,1)}
        19:{1,2,5,7}:{(6,1),(41,1),(42,1),(129,1),(201,1),(332,1)}
        20:{2,5,6,7}:{(7,1),(40,1),(43,1),(332,1)}
        21:{2,4,5,6}:{(8,1),(45,1),(46,1),(47,1),(335,1)}
        22:{3,4,5,7}:{(8,1),(10,1),(47,1),(317,1),(397,1)}
        23:{1,2,3,5,7}:{(37,1),(44,1),(48,1),(109,1),(120,1),(129,1),(137,1)}
        24:{1,3,4,5,7}:{(9,1),(50,1),(51,1),(110,1),(132,1),(133,1),(137,1),(222,1),(230,1),(239,1),(245,1),(338,1)}
        25:{2,3,4,6}:{(9,1),(45,1),(51,1),(214,1),(233,1),(247,1),(335,1)}
        26:{2,4,6,7}:{(10,1),(12,1),(47,1),(53,1)}
        27:{2,3,5,7}:{(11,1),(41,1),(54,1),(55,1),(130,1),(252,1),(303,1),(332,1)}
        28:{1,3,5,6,7}:{(12,1),(43,1),(53,1),(56,1),(122,1),(132,1),(143,1)}
        29:{3,4,5,6}:{(57,1),(58,1),(197,1),(401,1)}
        30:{2,3,4,5,7}:{(60,1),(61,1),(65,1),(92,1),(149,1),(165,1),(176,1),(262,1),(345,1),(403,1)}
        31:{3,4,6,7}:{(13,1),(58,1),(62,1)}
        32:{2,3,4,6,7}:{(18,1),(63,1),(73,1),(147,1),(159,1),(177,1),(183,1),(267,1),(269,1),(287,1),(298,1),(350,1),(372,1)}
        33:{2,3,5,6,7}:{(13,1),(20,1),(62,1),(64,1),(74,1),(149,1)}
        34:{1,2,4,6}:{(14,1),(16,1),(68,1),(69,1),(161,1),(280,1),(292,1),(347,1)}
        35:{2,4,5,6}:{(15,1),(67,1),(70,1),(71,1),(169,1),(280,1),(286,1)}
        36:{1,3,4,5,7}:{(15,1),(17,1),(22,1),(58,1),(71,1),(86,1),(151,1),(170,1),(190,1),(261,1),(283,1),(288,1)}
        37:{1,2,3,7}:{(66,1),(72,1),(361,1)}
        38:{1,3,4,7}:{(16,1),(68,1),(73,1),(75,1),(361,1)}
        39:{1,2,4,5,7}:{(16,1),(19,1),(69,1),(75,1),(76,1),(78,1),(176,1)}
        40:{2,4,6,7}:{(17,1),(20,1),(71,1),(74,1),(77,1),(178,1)}
        41:{1,3,5,7}:{(18,1),(19,1),(27,1),(63,1),(78,1),(79,1),(184,1),(255,1),(368,1)}
        42:{1,2,5,6}:{(19,1),(76,1),(79,1),(175,1),(286,1)}
        43:{1,5,6,7}:{(20,1),(77,1),(368,1)}
        44:{1,2,3,6}:{(23,1),(81,1),(175,1),(193,1)}
        45:{2,3,5,6}:{(21,1),(25,1),(83,1),(84,1),(268,1),(286,1)}
        46:{1,4,5,6}:{(21,1),(83,1),(85,1),(86,1),(292,1)}
        47:{2,4,5,7}:{(21,1),(22,1),(26,1),(84,1),(86,1),(372,1)}
        48:{1,2,4,7}:{(23,1),(81,1),(87,1),(161,1)}
        49:{2,3,4,7}:{(82,1),(87,1),(89,1),(162,1),(295,1)}
        50:{2,4,5,7}:{(24,1),(89,1),(90,1),(163,1),(186,1),(188,1),(276,1),(295,1)}
        51:{1,3,4,6}:{(24,1),(25,1),(83,1),(90,1),(189,1),(193,1),(284,1),(292,1)}
        52:{2,3,4,6,7}:{(25,1),(26,1),(74,1),(84,1),(91,1),(165,1),(269,1),(287,1),(298,1),(372,1)}
        53:{1,4,6,7}:{(26,1),(28,1),(86,1),(93,1)}
        54:{2,4,5,7}:{(27,1),(78,1),(92,1),(94,1),(186,1),(295,1),(345,1),(403,1)}
        55:{2,3,5,6}:{(27,1),(79,1),(94,1),(177,1),(197,1),(286,1)}
        56:{2,5,6,7}:{(28,1),(93,1),(178,1),(188,1)}
        57:{2,4,5,6}:{(29,1),(97,1),(98,1),(99,1),(378,1)}
        58:{3,4,5,7}:{(29,1),(31,1),(99,1),(252,1),(416,1)}
        59:{1,2,3,5,7}:{(37,1),(96,1),(100,1),(109,1),(120,1),(201,1),(209,1)}
        60:{1,3,4,5,7}:{(30,1),(102,1),(103,1),(110,1),(204,1),(205,1),(209,1),(222,1),(230,1),(304,1),(310,1),(381,1)}
        61:{2,3,4,6}:{(30,1),(97,1),(103,1),(142,1),(233,1),(312,1),(378,1)}
        62:{2,4,6,7}:{(31,1),(33,1),(99,1),(105,1)}
        63:{2,3,5,7}:{(32,1),(41,1),(106,1),(107,1),(202,1),(238,1),(317,1),(332,1)}
        64:{1,3,5,6,7}:{(33,1),(43,1),(105,1),(108,1),(122,1),(204,1),(215,1)}
        65:{2,3,4,5}:{(110,1),(111,1),(133,1),(205,1),(225,1),(319,1)}
        66:{1,2,3,6}:{(37,1),(109,1),(112,1),(321,1)}
        67:{2,3,5,6}:{(35,1),(111,1),(114,1),(115,1),(134,1),(206,1)}
        68:{1,3,4,6}:{(34,1),(38,1),(113,1),(116,1),(124,1),(218,1),(321,1)}
        69:{1,2,4,5}:{(34,1),(116,1),(129,1),(201,1),(225,1),(239,1),(304,1)}
        70:{1,4,5,6}:{(35,1),(114,1),(118,1),(325,1),(330,1)}
        71:{2,4,5,7}:{(35,1),(36,1),(40,1),(115,1),(118,1),(227,1),(328,1),(332,1)}
        72:{1,2,4,7}:{(37,1),(112,1),(119,1),(120,1)}
        73:{2,3,4,7}:{(38,1),(113,1),(119,1),(121,1),(324,1),(328,1),(389,1)}
        74:{2,3,6,7}:{(40,1),(115,1),(122,1),(143,1),(215,1)}
        75:{1,3,5,7}:{(38,1),(39,1),(116,1),(121,1),(124,1)}
        76:{1,2,4,6}:{(39,1),(42,1),(124,1),(126,1),(233,1)}
        77:{1,4,6,7}:{(40,1),(43,1),(118,1),(122,1)}
        78:{1,4,5,7}:{(41,1),(54,1),(106,1),(126,1),(239,1),(304,1),(338,1),(381,1)}
        79:{1,3,5,6}:{(41,1),(42,1),(55,1),(107,1),(124,1),(126,1),(231,1),(330,1)}
        80:{1,2,5,6,7}:{(42,1),(43,1),(56,1),(108,1),(125,1),(127,1),(232,1),(241,1),(306,1),(332,1),(395,1),(400,1),(419,1)}
        81:{1,2,4,6}:{(44,1),(48,1),(128,1),(129,1)}
        82:{2,3,4,6}:{(49,1),(128,1),(130,1),(140,1),(242,1)}
        83:{1,3,5,6}:{(45,1),(46,1),(51,1),(131,1),(132,1),(134,1),(330,1)}
        84:{2,3,5,7}:{(45,1),(47,1),(52,1),(132,1),(317,1),(332,1)}
        85:{2,4,5,6}:{(46,1),(131,1),(134,1),(135,1),(242,1)}
        86:{1,4,5,7}:{(46,1),(47,1),(53,1),(132,1),(135,1),(338,1)}
        87:{1,3,4,7}:{(48,1),(49,1),(128,1),(136,1),(137,1),(218,1),(338,1)}
        88:{1,2,4,5,7}:{(48,1),(50,1),(120,1),(129,1),(137,1),(138,1),(219,1),(230,1),(239,1),(241,1),(246,1),(322,1),(338,1)}
        89:{2,3,5,7}:{(49,1),(50,1),(130,1),(137,1),(140,1),(220,1),(324,1)}
        90:{2,4,6}:{(50,1),(51,1),(131,1),(140,1)}
        91:{1,3,4,6,7}:{(51,1),(52,1),(53,1),(122,1),(132,1),(141,1),(143,1),(222,1),(245,1),(249,1),(331,1),(338,1)}
        92:{3,4,5,7}:{(54,1),(133,1),(142,1),(245,1),(252,1),(377,1),(416,1)}
        93:{2,4,6,7}:{(53,1),(56,1),(135,1),(143,1)}
        94:{2,4,6}:{(54,1),(55,1),(126,1),(142,1)}
        95:{2,3,5,6,7}:{(55,1),(56,1),(127,1),(143,1),(145,1),(234,1),(243,1),(252,1),(332,1),(379,1),(419,1),(426,1)}
        96:{1,2,3,6}:{(59,1),(146,1),(175,1),(264,1)}
        97:{2,3,5,6}:{(57,1),(61,1),(148,1),(149,1),(197,1),(286,1)}
        98:{1,4,5,6}:{(57,1),(148,1),(150,1),(151,1),(347,1)}
        99:{2,4,5,7}:{(57,1),(58,1),(62,1),(149,1),(151,1),(403,1)}
       100:{1,2,4,7}:{(59,1),(146,1),(152,1),(161,1)}
       101:{2,3,4,7}:{(147,1),(152,1),(154,1),(162,1),(350,1)}
       102:{2,4,5,7}:{(60,1),(154,1),(155,1),(163,1),(257,1),(259,1),(276,1),(350,1)}
       103:{1,3,4,6}:{(60,1),(61,1),(148,1),(155,1),(260,1),(264,1),(284,1),(347,1)}
       104:{2,3,4,6,7}:{(61,1),(62,1),(74,1),(149,1),(156,1),(165,1),(198,1),(287,1),(353,1),(403,1)}
       105:{1,4,6,7}:{(62,1),(64,1),(151,1),(158,1)}
       106:{2,4,5,7}:{(63,1),(78,1),(157,1),(159,1),(257,1),(290,1),(350,1),(372,1)}
       107:{2,3,5,6}:{(63,1),(79,1),(159,1),(177,1),(268,1),(286,1)}
       108:{2,5,6,7}:{(64,1),(158,1),(178,1),(259,1)}
       109:{1,2,3,5}:{(66,1),(161,1),(167,1),(272,1)}
       110:{1,3,4,5}:{(65,1),(163,1),(164,1),(272,1),(277,1)}
       111:{2,3,4,6}:{(65,1),(67,1),(164,1),(165,1),(189,1),(260,1),(280,1),(359,1)}
       112:{1,2,4,6}:{(66,1),(72,1),(161,1),(166,1),(167,1),(175,1)}
       113:{2,3,4,6}:{(68,1),(73,1),(162,1),(166,1),(168,1),(177,1),(271,1),(275,1),(280,1),(359,1)}
       114:{1,3,5,6}:{(67,1),(70,1),(164,1),(169,1),(170,1)}
       115:{2,3,5,7}:{(67,1),(71,1),(74,1),(165,1),(170,1),(190,1),(261,1)}
       116:{1,3,5}:{(68,1),(69,1),(168,1)}
       117:{1,2,4,5,6}:{(69,1),(70,1),(76,1),(85,1),(150,1),(169,1),(172,1),(173,1),(181,1),(185,1),(256,1),(273,1),(280,1),(286,1),(292,1),(347,1),(364,1),(371,1),(402,1),(408,1)}
       118:{1,4,5,7}:{(70,1),(71,1),(77,1),(170,1),(365,1),(368,1)}
       119:{1,3,4,7}:{(72,1),(73,1),(166,1),(174,1),(361,1),(365,1)}
       120:{1,2,5,7}:{(72,1),(167,1),(174,1),(175,1)}
       121:{2,3,5,7}:{(73,1),(75,1),(168,1),(174,1),(176,1),(177,1)}
       122:{1,3,6,7}:{(74,1),(77,1),(170,1),(178,1)}
       123:{1,3,4,5,7}:{(75,1),(78,1),(92,1),(157,1),(171,1),(176,1),(179,1),(283,1),(288,1)}
       124:{1,3,6}:{(75,1),(76,1),(177,1)}
       125:{1,2,4,6,7}:{(76,1),(77,1),(80,1),(93,1),(158,1),(173,1),(178,1),(180,1),(182,1),(287,1),(412,1),(414,1),(424,1),(425,1)}
       126:{1,4,6}:{(78,1),(79,1),(94,1),(159,1)}
       127:{1,3,5,6,7}:{(79,1),(80,1),(95,1),(160,1),(180,1),(182,1),(285,1),(288,1),(293,1),(348,1),(368,1)}
       128:{1,3,4,6}:{(81,1),(82,1),(87,1),(183,1),(184,1),(193,1),(292,1)}
       129:{1,2,5}:{(81,1),(184,1)}
       130:{2,3,5}:{(82,1),(184,1),(186,1)}
       131:{2,5,6}:{(83,1),(90,1),(188,1)}
       132:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(188,1),(190,1),(368,1)}
       133:{3,4,5}:{(186,1),(189,1)}
       134:{3,5,6}:{(85,1),(189,1),(190,1)}
       135:{2,4,5,7}:{(85,1),(86,1),(93,1),(188,1),(190,1),(295,1)}
       136:{2,3,4,7}:{(87,1),(183,1),(191,1),(271,1),(372,1)}
       137:{1,3,5,7}:{(87,1),(88,1),(89,1),(184,1),(191,1),(193,1),(272,1),(361,1)}
       138:{1,2,4,6}:{(88,1),(90,1),(175,1),(185,1),(193,1),(284,1),(292,1),(297,1)}
       139:{2,3,4,5,7}:{(89,1),(92,1),(176,1),(186,1),(192,1),(195,1),(274,1),(295,1),(301,1),(363,1)}
       140:{2,3,6}:{(89,1),(90,1),(193,1)}
       141:{2,4,6,7}:{(90,1),(91,1),(178,1),(188,1),(196,1),(276,1),(295,1)}
       142:{3,4,6}:{(92,1),(94,1),(197,1)}
       143:{3,6,7}:{(93,1),(190,1)}
       144:{2,4,5,6}:{(94,1),(181,1),(197,1),(199,1),(286,1)}
       145:{2,4,6,7}:{(94,1),(95,1),(182,1),(198,1),(199,1),(295,1),(403,1)}
       146:{1,2,4,6}:{(96,1),(100,1),(200,1),(201,1)}
       147:{2,3,4,6}:{(101,1),(200,1),(202,1),(212,1),(307,1)}
       148:{1,3,5,6}:{(97,1),(98,1),(103,1),(203,1),(204,1),(206,1),(330,1)}
       149:{2,3,5,7}:{(97,1),(99,1),(104,1),(204,1),(252,1),(332,1)}
       150:{2,4,5,6}:{(98,1),(203,1),(206,1),(207,1),(307,1)}
       151:{1,4,5,7}:{(98,1),(99,1),(105,1),(204,1),(207,1),(381,1)}
       152:{1,3,4,7}:{(100,1),(101,1),(200,1),(208,1),(209,1),(218,1),(381,1)}
       153:{1,2,4,5,7}:{(100,1),(102,1),(120,1),(201,1),(209,1),(210,1),(219,1),(230,1),(304,1),(306,1),(311,1),(322,1),(381,1)}
       154:{2,3,5,7}:{(101,1),(102,1),(202,1),(209,1),(212,1),(220,1),(324,1)}
       155:{2,4,6}:{(102,1),(103,1),(203,1),(212,1)}
       156:{1,3,4,6,7}:{(103,1),(104,1),(105,1),(122,1),(204,1),(213,1),(215,1),(222,1),(310,1),(314,1),(331,1),(381,1)}
       157:{3,4,5,7}:{(106,1),(205,1),(214,1),(310,1),(317,1),(334,1),(397,1)}
       158:{2,4,6,7}:{(105,1),(108,1),(207,1),(215,1)}
       159:{2,4,6}:{(106,1),(107,1),(126,1),(214,1)}
       160:{2,3,5,6,7}:{(107,1),(108,1),(127,1),(215,1),(217,1),(234,1),(308,1),(317,1),(332,1),(336,1),(400,1),(422,1)}
       161:{1,2,4}:{(109,1),(218,1)}
       162:{2,3,4}:{(218,1),(220,1)}
       163:{2,4,5}:{(110,1),(220,1),(221,1)}
       164:{1,3,4,6}:{(110,1),(111,1),(114,1),(221,1),(222,1),(321,1),(325,1)}
       165:{2,3,4,7}:{(111,1),(115,1),(222,1),(245,1),(310,1),(328,1),(389,1)}
       166:{1,3,4,6}:{(112,1),(113,1),(119,1),(218,1),(223,1),(231,1),(321,1),(325,1)}
       167:{1,2,5}:{(112,1),(223,1)}
       168:{2,3,5}:{(113,1),(116,1),(223,1),(225,1)}
       169:{2,5,6}:{(114,1),(221,1),(227,1)}
       170:{1,3,5,7}:{(114,1),(115,1),(118,1),(122,1),(222,1),(227,1)}
       171:{1,3,4,5}:{(116,1),(133,1),(205,1),(225,1),(228,1),(239,1),(304,1),(334,1),(377,1)}
       172:{1,3,5,6}:{(116,1),(117,1),(124,1),(134,1),(206,1),(226,1),(228,1),(229,1),(321,1),(396,1),(415,1)}
       173:{1,2,4,5,7}:{(117,1),(118,1),(125,1),(135,1),(207,1),(227,1),(229,1),(237,1),(241,1),(306,1),(322,1),(328,1),(332,1),(338,1),(381,1),(393,1),(398,1),(417,1),(420,1)}
       174:{1,3,5,7}:{(119,1),(120,1),(121,1),(223,1),(230,1),(231,1)}
       175:{1,2,6}:{(120,1),(231,1)}
       176:{2,4,5,7}:{(121,1),(123,1),(225,1),(230,1),(233,1),(328,1),(332,1)}
       177:{2,3,6}:{(121,1),(124,1),(231,1),(233,1)}
       178:{2,6,7}:{(122,1),(227,1)}
       179:{1,3,4,6}:{(123,1),(124,1),(126,1),(142,1),(214,1),(233,1),(235,1)}
       180:{1,3,6,7}:{(124,1),(125,1),(143,1),(215,1),(229,1),(234,1),(422,1),(426,1)}
       181:{1,4,5,6}:{(126,1),(144,1),(216,1),(235,1),(237,1),(330,1)}
       182:{1,4,6,7}:{(126,1),(127,1),(145,1),(217,1),(237,1),(338,1),(381,1)}
       183:{2,3,4,6}:{(128,1),(136,1),(238,1),(247,1),(335,1)}
       184:{1,3,5}:{(128,1),(129,1),(130,1),(238,1),(239,1)}
       185:{1,2,5,6}:{(129,1),(131,1),(138,1),(240,1),(241,1),(330,1),(341,1)}
       186:{2,4,5}:{(130,1),(133,1),(239,1),(242,1)}
       187:{2,3,5,6}:{(130,1),(131,1),(134,1),(140,1),(240,1),(242,1),(243,1)}
       188:{2,5,7}:{(131,1),(132,1),(141,1)}
       189:{3,4,6}:{(133,1),(134,1),(242,1),(245,1)}
       190:{3,5,7}:{(134,1),(135,1),(143,1),(245,1)}
       191:{2,3,5,7}:{(136,1),(137,1),(238,1),(246,1),(247,1),(319,1),(389,1)}
       192:{1,3,4,5,7}:{(137,1),(139,1),(230,1),(239,1),(246,1),(248,1),(320,1),(334,1),(338,1),(343,1),(391,1),(397,1)}
       193:{1,3,6}:{(137,1),(138,1),(140,1),(247,1)}
       194:{1,2,4,6,7}:{(138,1),(141,1),(232,1),(241,1),(249,1),(322,1),(331,1),(338,1),(342,1)}
       195:{2,3,4,6}:{(139,1),(140,1),(142,1),(233,1),(242,1),(248,1),(250,1)}
       196:{2,3,6,7}:{(140,1),(141,1),(143,1),(243,1),(249,1),(324,1)}
       197:{3,5,6}:{(142,1),(144,1),(252,1)}
       198:{3,4,6,7}:{(142,1),(143,1),(145,1),(245,1),(252,1),(416,1),(426,1)}
       199:{2,4,5,7}:{(144,1),(145,1),(237,1),(252,1),(332,1)}
       200:{1,3,4,6}:{(146,1),(147,1),(152,1),(254,1),(255,1),(264,1),(347,1)}
       201:{1,2,5}:{(146,1),(255,1)}
       202:{2,3,5}:{(147,1),(255,1),(257,1)}
       203:{2,5,6}:{(148,1),(155,1),(259,1)}
       204:{1,3,5,7}:{(148,1),(149,1),(151,1),(156,1),(259,1),(261,1),(368,1)}
       205:{3,4,5}:{(257,1),(260,1)}
       206:{3,5,6}:{(150,1),(260,1),(261,1)}
       207:{2,4,5,7}:{(150,1),(151,1),(158,1),(259,1),(261,1),(350,1)}
       208:{2,3,4,7}:{(152,1),(254,1),(262,1),(271,1),(403,1)}
       209:{1,3,5,7}:{(152,1),(153,1),(154,1),(255,1),(262,1),(264,1),(272,1),(361,1)}
       210:{1,2,4,6}:{(153,1),(155,1),(175,1),(256,1),(264,1),(284,1),(347,1),(352,1)}
       211:{2,3,4,5,7}:{(154,1),(157,1),(176,1),(257,1),(263,1),(266,1),(274,1),(350,1),(356,1),(363,1)}
       212:{2,3,6}:{(154,1),(155,1),(264,1)}
       213:{2,4,6,7}:{(155,1),(156,1),(178,1),(259,1),(267,1),(276,1),(350,1)}
       214:{3,4,6}:{(157,1),(159,1),(268,1)}
       215:{3,6,7}:{(158,1),(261,1)}
       216:{2,4,5,6}:{(159,1),(181,1),(268,1),(270,1),(286,1)}
       217:{2,4,6,7}:{(159,1),(160,1),(182,1),(269,1),(270,1),(350,1),(372,1)}
       218:{1,3,4}:{(161,1),(162,1),(271,1),(272,1)}
       219:{1,2,4,5}:{(161,1),(163,1),(167,1),(272,1),(273,1),(277,1),(358,1)}
       220:{2,3,5}:{(162,1),(163,1),(272,1),(275,1)}
       221:{2,4,6}:{(163,1),(164,1),(169,1),(275,1),(276,1)}
       222:{1,3,4,7}:{(164,1),(165,1),(170,1),(276,1),(361,1),(365,1)}
       223:{1,3,5}:{(166,1),(167,1),(168,1),(277,1)}
       224:{1,2,5,6}:{(167,1),(169,1),(175,1),(273,1),(278,1),(279,1),(408,1)}
       225:{2,4,5}:{(168,1),(171,1),(277,1),(280,1)}
       226:{2,3,5,6}:{(168,1),(169,1),(172,1),(177,1),(275,1),(278,1),(280,1),(281,1),(286,1),(359,1),(408,1)}
       227:{2,5,7}:{(169,1),(170,1),(178,1),(276,1)}
       228:{1,3,4,6}:{(171,1),(172,1),(189,1),(260,1),(280,1),(283,1),(292,1),(347,1),(370,1),(401,1)}
       229:{1,3,5,7}:{(172,1),(173,1),(180,1),(190,1),(261,1),(281,1),(283,1),(361,1),(413,1),(423,1)}
       230:{1,4,5,7}:{(174,1),(176,1),(277,1),(284,1),(365,1),(368,1)}
       231:{1,3,6}:{(174,1),(175,1),(177,1),(284,1)}
       232:{1,2,6,7}:{(175,1),(178,1),(279,1),(285,1),(425,1)}
       233:{2,4,6}:{(176,1),(177,1),(179,1),(284,1),(286,1)}
       234:{2,3,6,7}:{(177,1),(178,1),(180,1),(281,1),(285,1),(287,1),(425,1)}
       235:{1,3,5,6}:{(179,1),(181,1),(197,1),(268,1),(286,1),(288,1)}
       236:{1,3,4,6,7}:{(179,1),(180,1),(182,1),(198,1),(269,1),(283,1),(287,1),(288,1)}
       237:{1,4,5,7}:{(181,1),(182,1),(199,1),(270,1),(288,1),(368,1)}
       238:{2,3,5}:{(183,1),(184,1),(290,1)}
       239:{1,4,5}:{(184,1),(186,1),(290,1),(292,1)}
       240:{1,3,5,6}:{(184,1),(185,1),(187,1),(193,1),(291,1),(292,1),(293,1)}
       241:{1,2,5,7}:{(185,1),(188,1),(194,1),(293,1),(368,1),(375,1)}
       242:{2,4,6}:{(186,1),(187,1),(189,1),(292,1),(295,1)}
       243:{2,3,5,7}:{(187,1),(188,1),(190,1),(196,1),(293,1),(295,1)}
       244:{3,4,5,6}:{(189,1),(197,1),(294,1),(296,1)}
       245:{3,4,7}:{(189,1),(190,1),(295,1)}
       246:{2,4,5,7}:{(191,1),(192,1),(290,1),(297,1),(358,1),(372,1),(375,1),(409,1)}
       247:{2,3,6}:{(191,1),(193,1),(297,1)}
       248:{1,3,4,6}:{(192,1),(193,1),(195,1),(284,1),(292,1),(297,1),(299,1),(370,1)}
       249:{1,3,6,7}:{(193,1),(194,1),(196,1),(293,1),(298,1),(361,1)}
       250:{2,3,5,6}:{(195,1),(197,1),(286,1),(294,1),(299,1),(301,1)}
       251:{2,3,4,6,7}:{(195,1),(196,1),(198,1),(287,1),(295,1),(300,1),(301,1),(363,1),(374,1),(411,1)}
       252:{3,5,7}:{(197,1),(198,1),(199,1)}
       253:{2,4,5,6,7}:{(199,1),(289,1),(302,1),(369,1),(374,1),(424,1)}
       254:{2,3,4,6}:{(200,1),(208,1),(303,1),(312,1),(378,1)}
       255:{1,3,5}:{(200,1),(201,1),(202,1),(303,1),(304,1)}
       256:{1,2,5,6}:{(201,1),(203,1),(210,1),(305,1),(306,1),(330,1),(384,1)}
       257:{2,4,5}:{(202,1),(205,1),(304,1),(307,1)}
       258:{2,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(305,1),(307,1),(308,1)}
       259:{2,5,7}:{(203,1),(204,1),(213,1)}
       260:{3,4,6}:{(205,1),(206,1),(307,1),(310,1)}
       261:{3,5,7}:{(206,1),(207,1),(215,1),(310,1)}
       262:{2,3,5,7}:{(208,1),(209,1),(303,1),(311,1),(312,1),(319,1),(389,1)}
       263:{1,3,4,5,7}:{(209,1),(211,1),(230,1),(304,1),(311,1),(313,1),(320,1),(377,1),(381,1),(386,1),(391,1),(416,1)}
       264:{1,3,6}:{(209,1),(210,1),(212,1),(312,1)}
       265:{1,2,4,6,7}:{(210,1),(213,1),(232,1),(306,1),(314,1),(322,1),(331,1),(381,1),(385,1)}
       266:{2,3,4,6}:{(211,1),(212,1),(214,1),(233,1),(307,1),(313,1),(315,1)}
       267:{2,3,6,7}:{(212,1),(213,1),(215,1),(308,1),(314,1),(324,1)}
       268:{3,5,6}:{(214,1),(216,1),(317,1)}
       269:{3,4,6,7}:{(214,1),(215,1),(217,1),(310,1),(317,1),(397,1),(422,1)}
       270:{2,4,5,7}:{(216,1),(217,1),(237,1),(317,1),(332,1)}
       271:{2,3,4}:{(218,1),(319,1)}
       272:{1,3,5}:{(218,1),(219,1),(220,1),(319,1),(321,1)}
       273:{1,2,4,6}:{(219,1),(221,1),(224,1),(321,1),(322,1),(325,1),(388,1)}
       274:{2,3,4,5}:{(220,1),(225,1),(320,1),(323,1),(334,1),(377,1)}
       275:{2,3,6}:{(220,1),(221,1),(321,1),(324,1)}
       276:{2,4,7}:{(221,1),(222,1),(227,1),(324,1)}
       277:{1,4,5}:{(223,1),(225,1),(325,1)}
       278:{1,3,5,6}:{(223,1),(224,1),(226,1),(231,1),(321,1),(325,1),(326,1),(330,1)}
       279:{1,2,5,7}:{(224,1),(227,1),(232,1),(322,1),(326,1),(420,1)}
       280:{2,4,6}:{(225,1),(226,1),(228,1),(325,1),(328,1)}
       281:{2,3,5,7}:{(226,1),(227,1),(229,1),(234,1),(324,1),(326,1),(328,1),(332,1),(389,1),(420,1)}
       282:{1,3,4,5,6}:{(228,1),(235,1),(244,1),(309,1),(327,1),(329,1),(337,1),(380,1),(390,1),(396,1),(415,1)}
       283:{1,3,4,7}:{(228,1),(229,1),(245,1),(310,1),(328,1),(338,1),(381,1),(397,1),(416,1)}
       284:{1,4,6}:{(230,1),(231,1),(233,1),(330,1)}
       285:{1,3,6,7}:{(231,1),(232,1),(234,1),(326,1),(331,1)}
       286:{2,5,6}:{(233,1),(235,1),(330,1),(332,1)}
       287:{2,4,6,7}:{(233,1),(234,1),(236,1),(328,1),(331,1),(332,1)}
       288:{1,3,5,7}:{(235,1),(236,1),(237,1),(252,1),(317,1),(332,1)}
       289:{1,4,5,6,7}:{(237,1),(253,1),(318,1),(333,1),(395,1),(399,1),(418,1)}
       290:{2,4,5}:{(238,1),(239,1),(334,1),(335,1)}
       291:{2,3,5,6}:{(238,1),(240,1),(247,1),(335,1),(336,1),(341,1),(396,1)}
       292:{1,4,6}:{(239,1),(240,1),(242,1),(335,1),(338,1)}
       293:{1,3,5,7}:{(240,1),(241,1),(243,1),(249,1),(336,1),(338,1)}
       294:{2,4,5,6}:{(242,1),(244,1),(250,1),(337,1),(339,1)}
       295:{2,4,7}:{(242,1),(243,1),(245,1),(338,1)}
       296:{3,4,5,7}:{(244,1),(245,1),(252,1),(339,1),(340,1)}
       297:{2,4,6}:{(246,1),(247,1),(248,1),(341,1)}
       298:{2,3,6,7}:{(247,1),(249,1),(336,1),(342,1),(389,1),(422,1)}
       299:{1,3,5,6}:{(248,1),(250,1),(330,1),(337,1),(341,1),(343,1),(396,1)}
       300:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(331,1),(338,1),(342,1),(343,1),(391,1),(397,1),(399,1),(421,1),(422,1)}
       301:{2,3,5,7}:{(250,1),(251,1),(252,1),(332,1),(339,1),(343,1)}
       302:{3,5,6,7}:{(252,1),(253,1),(340,1),(426,1)}
       303:{2,3,5}:{(254,1),(255,1),(345,1)}
       304:{1,4,5}:{(255,1),(257,1),(345,1),(347,1)}
       305:{1,3,5,6}:{(255,1),(256,1),(258,1),(264,1),(346,1),(347,1),(348,1)}
       306:{1,2,5,7}:{(256,1),(259,1),(265,1),(348,1),(368,1),(406,1)}
       307:{2,4,6}:{(257,1),(258,1),(260,1),(347,1),(350,1)}
       308:{2,3,5,7}:{(258,1),(259,1),(261,1),(267,1),(348,1),(350,1)}
       309:{3,4,5,6}:{(260,1),(268,1),(349,1),(351,1)}
       310:{3,4,7}:{(260,1),(261,1),(350,1)}
       311:{2,4,5,7}:{(262,1),(263,1),(345,1),(352,1),(358,1),(403,1),(406,1),(409,1)}
       312:{2,3,6}:{(262,1),(264,1),(352,1)}
       313:{1,3,4,6}:{(263,1),(264,1),(266,1),(284,1),(347,1),(352,1),(354,1),(401,1)}
       314:{1,3,6,7}:{(264,1),(265,1),(267,1),(348,1),(353,1),(361,1)}
       315:{2,3,5,6}:{(266,1),(268,1),(286,1),(349,1),(354,1),(356,1)}
       316:{2,3,4,6,7}:{(266,1),(267,1),(269,1),(287,1),(350,1),(355,1),(356,1),(363,1),(405,1),(411,1)}
       317:{3,5,7}:{(268,1),(269,1),(270,1)}
       318:{2,4,5,6,7}:{(270,1),(289,1),(357,1),(369,1),(405,1),(414,1)}
       319:{2,3,5}:{(271,1),(272,1),(358,1),(359,1)}
       320:{1,3,4,5}:{(272,1),(274,1),(277,1),(358,1),(360,1)}
       321:{1,3,6}:{(272,1),(273,1),(275,1),(359,1),(361,1)}
       322:{1,2,4,7}:{(273,1),(276,1),(279,1),(361,1),(365,1),(409,1)}
       323:{2,3,4,6}:{(274,1),(275,1),(280,1),(360,1),(362,1),(363,1),(370,1),(401,1)}
       324:{2,3,7}:{(275,1),(276,1),(361,1)}
       325:{1,4,6}:{(277,1),(278,1),(280,1),(365,1)}
       326:{1,3,5,7}:{(278,1),(279,1),(281,1),(285,1),(361,1),(365,1),(368,1)}
       327:{2,4,5,6}:{(280,1),(282,1),(286,1),(362,1),(364,1),(366,1),(408,1)}
       328:{2,4,7}:{(280,1),(281,1),(283,1),(365,1)}
       329:{1,3,4,5,7}:{(282,1),(283,1),(288,1),(296,1),(351,1),(366,1),(367,1),(373,1),(404,1),(410,1),(413,1),(423,1)}
       330:{1,5,6}:{(284,1),(286,1),(368,1)}
       331:{1,4,6,7}:{(284,1),(285,1),(287,1),(365,1),(368,1)}
       332:{2,5,7}:{(286,1),(287,1),(288,1),(368,1)}
       333:{1,3,5,6,7}:{(288,1),(289,1),(302,1),(357,1),(367,1),(369,1)}
       334:{3,4,5}:{(290,1),(370,1)}
       335:{2,4,6}:{(290,1),(291,1),(292,1),(370,1),(372,1)}
       336:{2,3,5,7}:{(291,1),(293,1),(298,1),(372,1),(375,1),(413,1)}
       337:{1,4,5,6}:{(292,1),(294,1),(299,1),(371,1),(373,1)}
       338:{1,4,7}:{(292,1),(293,1),(295,1),(372,1)}
       339:{2,4,5,7}:{(294,1),(295,1),(296,1),(301,1),(373,1),(374,1)}
       340:{3,4,6,7}:{(296,1),(302,1),(374,1)}
       341:{2,5,6}:{(297,1),(299,1),(375,1)}
       342:{2,4,6,7}:{(297,1),(298,1),(300,1),(372,1),(375,1),(409,1),(425,1)}
       343:{1,3,5,7}:{(299,1),(300,1),(301,1),(368,1),(373,1),(375,1),(413,1)}
       344:{2,3,5,6,7}:{(301,1),(302,1),(369,1),(374,1),(376,1),(411,1)}
       345:{2,4,5}:{(303,1),(304,1),(377,1),(378,1)}
       346:{2,3,5,6}:{(303,1),(305,1),(312,1),(378,1),(379,1),(384,1),(415,1)}
       347:{1,4,6}:{(304,1),(305,1),(307,1),(378,1),(381,1)}
       348:{1,3,5,7}:{(305,1),(306,1),(308,1),(314,1),(379,1),(381,1)}
       349:{2,4,5,6}:{(307,1),(309,1),(315,1),(380,1),(382,1)}
       350:{2,4,7}:{(307,1),(308,1),(310,1),(381,1)}
       351:{3,4,5,7}:{(309,1),(310,1),(317,1),(382,1),(383,1)}
       352:{2,4,6}:{(311,1),(312,1),(313,1),(384,1)}
       353:{2,3,6,7}:{(312,1),(314,1),(379,1),(385,1),(389,1),(426,1)}
       354:{1,3,5,6}:{(313,1),(315,1),(330,1),(380,1),(384,1),(386,1),(415,1)}
       355:{1,3,4,6,7}:{(313,1),(314,1),(316,1),(331,1),(381,1),(385,1),(386,1),(391,1),(416,1),(418,1),(421,1),(426,1)}
       356:{2,3,5,7}:{(315,1),(316,1),(317,1),(332,1),(382,1),(386,1)}
       357:{3,5,6,7}:{(317,1),(318,1),(383,1),(422,1)}
       358:{2,4,5}:{(319,1),(320,1),(388,1)}
       359:{2,3,6}:{(319,1),(321,1),(388,1),(389,1)}
       360:{1,3,4,6}:{(320,1),(321,1),(323,1),(325,1),(388,1),(390,1),(391,1)}
       361:{1,3,7}:{(321,1),(322,1),(324,1),(389,1)}
       362:{2,3,5,6}:{(323,1),(327,1),(390,1),(392,1),(396,1),(415,1)}
       363:{2,3,4,7}:{(323,1),(324,1),(328,1),(391,1),(392,1),(397,1),(416,1)}
       364:{1,4,5,6}:{(325,1),(327,1),(330,1),(390,1),(393,1)}
       365:{1,4,7}:{(325,1),(326,1),(328,1)}
       366:{2,4,5,7}:{(327,1),(328,1),(329,1),(332,1),(392,1),(393,1),(394,1),(420,1)}
       367:{1,3,4,6,7}:{(329,1),(333,1),(340,1),(383,1),(394,1),(399,1),(418,1),(421,1),(422,1),(426,1)}
       368:{1,5,7}:{(330,1),(331,1),(332,1)}
       369:{2,5,6,7}:{(332,1),(333,1),(394,1),(395,1)}
       370:{3,4,6}:{(334,1),(335,1),(396,1),(397,1)}
       371:{2,4,5,6}:{(335,1),(337,1),(341,1),(396,1),(398,1)}
       372:{2,4,7}:{(335,1),(336,1),(338,1),(397,1)}
       373:{1,4,5,7}:{(337,1),(338,1),(339,1),(343,1),(398,1),(399,1)}
       374:{2,4,6,7}:{(339,1),(340,1),(344,1),(399,1)}
       375:{2,5,7}:{(341,1),(342,1),(343,1)}
       376:{1,3,5,6,7}:{(343,1),(344,1),(395,1),(399,1),(400,1),(421,1),(422,1)}
       377:{3,4,5}:{(345,1),(401,1)}
       378:{2,4,6}:{(345,1),(346,1),(347,1),(401,1),(403,1)}
       379:{2,3,5,7}:{(346,1),(348,1),(353,1),(403,1),(406,1),(423,1)}
       380:{1,4,5,6}:{(347,1),(349,1),(354,1),(402,1),(404,1)}
       381:{1,4,7}:{(347,1),(348,1),(350,1),(403,1)}
       382:{2,4,5,7}:{(349,1),(350,1),(351,1),(356,1),(404,1),(405,1)}
       383:{3,4,6,7}:{(351,1),(357,1),(405,1)}
       384:{2,5,6}:{(352,1),(354,1),(406,1)}
       385:{2,4,6,7}:{(352,1),(353,1),(355,1),(403,1),(406,1),(409,1),(425,1)}
       386:{1,3,5,7}:{(354,1),(355,1),(356,1),(368,1),(404,1),(406,1),(423,1)}
       387:{2,3,5,6,7}:{(356,1),(357,1),(369,1),(405,1),(407,1),(411,1)}
       388:{2,4,6}:{(358,1),(359,1),(360,1),(408,1),(409,1)}
       389:{2,3,7}:{(359,1),(361,1),(409,1)}
       390:{1,3,5,6}:{(360,1),(362,1),(364,1),(408,1),(410,1)}
       391:{1,3,4,7}:{(360,1),(361,1),(363,1),(365,1),(409,1),(410,1)}
       392:{2,3,5,7}:{(362,1),(363,1),(366,1),(410,1),(411,1),(413,1),(423,1)}
       393:{1,4,5,7}:{(364,1),(365,1),(366,1),(368,1),(410,1),(412,1)}
       394:{2,4,6,7}:{(366,1),(367,1),(369,1),(411,1),(412,1),(425,1)}
       395:{1,5,6,7}:{(368,1),(369,1),(412,1)}
       396:{3,5,6}:{(370,1),(371,1),(413,1)}
       397:{3,4,7}:{(370,1),(372,1),(413,1)}
       398:{2,4,5,7}:{(371,1),(372,1),(373,1),(375,1),(413,1),(414,1)}
       399:{1,4,6,7}:{(373,1),(374,1),(376,1),(414,1)}
       400:{2,5,6,7}:{(375,1),(376,1),(414,1),(425,1)}
       401:{3,4,6}:{(377,1),(378,1),(415,1),(416,1)}
       402:{2,4,5,6}:{(378,1),(380,1),(384,1),(415,1),(417,1)}
       403:{2,4,7}:{(378,1),(379,1),(381,1),(416,1)}
       404:{1,4,5,7}:{(380,1),(381,1),(382,1),(386,1),(417,1),(418,1)}
       405:{2,4,6,7}:{(382,1),(383,1),(387,1),(418,1)}
       406:{2,5,7}:{(384,1),(385,1),(386,1)}
       407:{1,3,5,6,7}:{(386,1),(387,1),(395,1),(418,1),(419,1),(421,1),(426,1)}
       408:{2,5,6}:{(388,1),(390,1),(420,1)}
       409:{2,4,7}:{(388,1),(389,1),(391,1),(420,1)}
       410:{1,3,5,7}:{(390,1),(391,1),(392,1),(393,1),(420,1),(421,1)}
       411:{2,3,6,7}:{(392,1),(394,1),(421,1),(422,1),(426,1)}
       412:{1,4,6,7}:{(393,1),(394,1),(395,1),(421,1)}
       413:{3,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,4,6,7}:{(398,1),(399,1),(400,1),(422,1)}
       415:{3,5,6}:{(401,1),(402,1),(423,1)}
       416:{3,4,7}:{(401,1),(403,1),(423,1)}
       417:{2,4,5,7}:{(402,1),(403,1),(404,1),(406,1),(423,1),(424,1)}
       418:{1,4,6,7}:{(404,1),(405,1),(407,1),(424,1)}
       419:{2,5,6,7}:{(406,1),(407,1),(424,1),(425,1)}
       420:{2,5,7}:{(408,1),(409,1),(410,1),(425,1)}
       421:{1,3,6,7}:{(410,1),(411,1),(412,1),(425,1)}
       422:{3,6,7}:{(413,1),(414,1)}
       423:{3,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,4,6,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{2,6,7}:{(420,1),(421,1)}
       426:{3,6,7}:{(423,1),(424,1)}

2281 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(48,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(34,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(20,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(21,1),(43,1),(45,1),(68,1)}
        13:{2,4,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,3,4,7}:{(11,1),(12,1),(25,1),(32,1),(57,1),(60,1),(83,1)}
        21:{2,4,6}:{(12,1),(13,1),(26,1),(32,1),(33,1)}
        22:{1,2,4,5}:{(13,1),(31,1),(34,1),(64,1),(84,1),(91,1)}
        23:{2,3,5}:{(13,1),(33,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(20,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(21,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(36,1),(44,1),(45,1),(68,1),(76,1)}
        32:{2,4,7}:{(20,1),(21,1),(38,1),(46,1)}
        33:{2,3,6}:{(21,1),(23,1),(45,1),(46,1)}
        34:{1,3,5}:{(22,1),(23,1),(45,1),(48,1),(49,1)}
        35:{2,3,4}:{(23,1),(49,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(32,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(33,1),(51,1),(53,1),(54,1),(63,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{1,2,4,7}:{(31,1),(32,1),(50,1),(60,1),(83,1),(90,1)}
        45:{1,3,6}:{(31,1),(33,1),(34,1),(59,1),(60,1)}
        46:{2,3,7}:{(32,1),(33,1),(60,1)}
        47:{2,3,4,6}:{(33,1),(35,1),(54,1),(61,1),(62,1),(63,1),(93,1)}
        48:{2,3,5}:{(34,1),(59,1),(64,1),(91,1)}
        49:{1,3,4}:{(34,1),(35,1),(64,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(44,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(45,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(46,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(45,1),(48,1),(75,1),(76,1)}
        60:{1,3,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        62:{2,3,4,7}:{(46,1),(47,1),(70,1),(77,1),(79,1)}
        63:{2,3,5}:{(47,1),(71,1),(78,1)}
        64:{2,4}:{(48,1),(49,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(63,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(60,1),(90,1)}
        76:{2,4,6}:{(59,1),(61,1),(64,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(60,1),(61,1),(62,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(61,1),(63,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(62,1),(63,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2282 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(44,1),(45,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(20,1),(31,1),(53,1),(91,1),(97,1),(105,1),(134,1),(137,1),(157,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(19,1),(29,1),(30,1),(63,1),(64,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(20,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(33,1),(37,1),(46,1),(68,1),(76,1),(80,1),(111,1),(116,1),(130,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(44,1),(159,1),(163,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(132,1)}
         7:{2,5,6,7}:{(2,1),(17,1),(32,1),(44,1),(85,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(33,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(34,1)}
        10:{2,3,5,6}:{(5,1),(19,1),(20,1),(22,1),(52,1),(91,1)}
        11:{2,4,5,6}:{(6,1),(20,1),(21,1),(22,1),(52,1),(133,1),(145,1)}
        12:{2,4,6,7}:{(4,1),(24,1),(25,1),(49,1),(58,1),(137,1),(143,1),(156,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(59,1),(63,1),(136,1),(187,1)}
        14:{2,4,5,7}:{(5,1),(20,1),(26,1),(27,1),(97,1),(133,1)}
        15:{1,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(63,1),(107,1)}
        16:{3,5,7}:{(6,1),(9,1),(22,1),(157,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(30,1),(49,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(31,1),(50,1),(61,1),(64,1),(107,1),(157,1)}
        19:{1,3,5,6}:{(10,1),(13,1),(32,1),(33,1),(68,1),(72,1),(116,1)}
        20:{2,4,6}:{(10,1),(14,1),(33,1),(34,1)}
        21:{1,4,5,6}:{(11,1),(15,1),(33,1),(35,1),(36,1),(72,1),(110,1),(118,1)}
        22:{3,5,6}:{(11,1),(16,1),(34,1),(159,1),(170,1)}
        23:{1,2,4,6,7}:{(12,1),(37,1),(38,1),(46,1),(66,1),(73,1),(76,1),(85,1),(132,1),(164,1),(165,1),(178,1),(215,1),(235,1),(241,1)}
        24:{2,3,6,7}:{(12,1),(37,1),(40,1),(68,1),(112,1),(179,1),(235,1)}
        25:{2,5,7}:{(12,1),(13,1),(32,1),(163,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(33,1),(41,1),(76,1),(110,1)}
        27:{3,4,5,7}:{(14,1),(16,1),(34,1),(122,1),(159,1)}
        28:{2,4,5,7}:{(15,1),(17,1),(35,1),(43,1),(44,1),(83,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1)}
        30:{3,6,7}:{(17,1),(43,1),(68,1)}
        31:{2,4,6,7}:{(18,1),(44,1),(45,1),(46,1),(69,1),(83,1),(85,1),(132,1)}
        32:{2,5,6}:{(19,1),(25,1),(49,1),(143,1)}
        33:{1,4,6}:{(19,1),(20,1),(26,1),(49,1)}
        34:{3,4,6}:{(20,1),(22,1),(27,1)}
        35:{2,4,5,6}:{(21,1),(28,1),(49,1),(51,1),(52,1),(89,1),(94,1)}
        36:{1,3,5,6}:{(21,1),(22,1),(29,1),(50,1),(51,1),(52,1),(136,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(53,1),(55,1),(88,1),(138,1),(157,1),(198,1),(244,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(47,1),(55,1),(63,1),(96,1),(108,1),(187,1),(223,1),(239,1)}
        39:{2,3,4,6,7}:{(24,1),(54,1),(57,1),(58,1),(90,1),(103,1),(137,1),(149,1),(155,1),(193,1),(196,1),(244,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(48,1),(55,1),(58,1),(59,1),(239,1),(244,1)}
        41:{2,4,5,7}:{(25,1),(26,1),(49,1),(58,1),(59,1),(89,1)}
        42:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(50,1),(59,1),(60,1),(61,1),(93,1),(100,1),(106,1),(107,1),(136,1),(144,1),(157,1),(191,1)}
        43:{3,5,7}:{(28,1),(30,1),(51,1),(61,1)}
        44:{2,5,7}:{(29,1),(31,1),(52,1),(63,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(62,1),(64,1),(91,1),(157,1)}
        46:{1,4,6,7}:{(31,1),(63,1),(64,1),(92,1),(107,1)}
        47:{1,2,5,6}:{(32,1),(38,1),(65,1),(66,1),(72,1),(119,1),(120,1),(163,1),(165,1),(206,1),(207,1),(232,1)}
        48:{2,3,5,6}:{(32,1),(40,1),(65,1),(67,1),(68,1),(112,1),(114,1),(163,1),(232,1),(233,1),(242,1)}
        49:{2,4,6}:{(32,1),(33,1),(41,1),(68,1)}
        50:{1,3,4,6}:{(33,1),(34,1),(36,1),(42,1),(68,1),(69,1),(70,1),(116,1),(118,1),(170,1)}
        51:{3,5,6}:{(35,1),(43,1),(68,1),(70,1),(114,1)}
        52:{2,5,6}:{(36,1),(44,1),(69,1),(72,1),(163,1)}
        53:{2,3,6,7}:{(37,1),(73,1),(74,1),(85,1),(112,1),(172,1),(214,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(73,1),(75,1),(76,1),(111,1),(122,1),(124,1),(164,1),(172,1),(174,1),(212,1),(215,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(74,1),(76,1)}
        56:{1,2,4,5,7}:{(38,1),(41,1),(66,1),(76,1),(77,1),(82,1),(110,1),(121,1),(126,1),(131,1),(132,1),(163,1),(169,1),(177,1),(178,1),(207,1),(213,1),(230,1),(234,1),(241,1)}
        57:{2,3,5,7}:{(39,1),(75,1),(78,1),(79,1),(114,1),(163,1),(166,1),(205,1)}
        58:{2,4,7}:{(40,1),(67,1),(76,1),(80,1)}
        59:{3,5,7}:{(41,1),(68,1),(80,1),(114,1)}
        60:{2,4,5,7}:{(42,1),(44,1),(69,1),(81,1),(82,1),(83,1),(117,1),(126,1),(131,1),(132,1),(163,1),(169,1)}
        61:{3,4,7}:{(43,1),(70,1),(83,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(83,1),(84,1)}
        63:{1,5,7}:{(44,1),(46,1),(72,1)}
        64:{1,3,6,7}:{(45,1),(46,1),(84,1),(85,1),(116,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(55,1),(86,1),(87,1),(88,1),(136,1),(138,1),(187,1),(224,1)}
        66:{1,2,4,6}:{(47,1),(49,1),(56,1),(87,1),(88,1),(92,1),(137,1),(143,1),(145,1),(147,1),(197,1),(227,1),(237,1)}
        67:{2,4,6}:{(48,1),(58,1),(87,1),(89,1),(90,1),(240,1)}
        68:{3,6}:{(49,1),(59,1)}
        69:{2,4,6}:{(50,1),(52,1),(60,1),(91,1),(92,1),(143,1)}
        70:{3,4,6}:{(51,1),(61,1),(93,1),(94,1)}
        71:{2,3,5,6}:{(51,1),(52,1),(62,1),(91,1),(94,1),(95,1),(141,1)}
        72:{1,5,6}:{(52,1),(63,1),(92,1),(187,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(96,1),(97,1),(137,1),(147,1),(195,1),(227,1)}
        74:{2,3,5,7}:{(53,1),(55,1),(86,1),(96,1),(97,1),(108,1),(148,1),(157,1)}
        75:{1,3,5,7}:{(54,1),(57,1),(96,1),(98,1),(99,1),(136,1),(148,1),(187,1),(223,1)}
        76:{1,4,7}:{(55,1),(58,1),(87,1),(97,1)}
        77:{1,3,5,7}:{(56,1),(59,1),(88,1),(100,1),(101,1),(136,1),(148,1),(157,1),(191,1),(198,1),(224,1),(238,1),(244,1)}
        78:{2,3,5,6}:{(57,1),(98,1),(103,1),(140,1),(186,1),(193,1)}
        79:{2,4,5,7}:{(57,1),(58,1),(89,1),(99,1),(103,1),(104,1)}
        80:{3,4,7}:{(58,1),(59,1),(90,1),(244,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(91,1),(105,1),(106,1),(141,1),(157,1),(191,1)}
        82:{1,4,5,7}:{(60,1),(63,1),(92,1),(106,1),(107,1),(144,1),(153,1),(187,1)}
        83:{2,4,7}:{(61,1),(62,1),(94,1),(107,1)}
        84:{1,3,5,7}:{(62,1),(63,1),(64,1),(95,1),(107,1),(108,1),(157,1)}
        85:{2,6,7}:{(64,1),(108,1),(143,1)}
        86:{2,3,5,6}:{(65,1),(74,1),(109,1),(112,1),(119,1),(120,1),(159,1),(163,1),(170,1),(172,1),(209,1)}
        87:{1,4,6}:{(65,1),(67,1),(76,1),(109,1),(110,1),(234,1)}
        88:{1,3,6}:{(66,1),(68,1),(77,1),(112,1),(170,1),(172,1),(242,1)}
        89:{2,4,5}:{(67,1),(110,1),(114,1),(163,1)}
        90:{3,4,6}:{(67,1),(68,1),(80,1),(114,1),(242,1),(243,1)}
        91:{2,3,6}:{(68,1),(69,1),(81,1),(116,1),(170,1)}
        92:{1,4,6}:{(69,1),(72,1),(82,1),(116,1)}
        93:{3,4,5}:{(70,1),(114,1),(117,1),(243,1)}
        94:{2,4,6}:{(70,1),(71,1),(83,1),(117,1),(118,1)}
        95:{1,3,5,6}:{(71,1),(72,1),(84,1),(116,1),(118,1),(119,1),(167,1),(170,1)}
        96:{2,5,7}:{(73,1),(75,1),(120,1),(163,1)}
        97:{2,4,7}:{(74,1),(76,1),(109,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(120,1),(124,1),(172,1),(206,1),(212,1)}
        99:{1,4,5,7}:{(75,1),(76,1),(79,1),(110,1),(121,1),(124,1)}
       100:{1,3,4,7}:{(76,1),(77,1),(80,1),(111,1),(122,1),(126,1),(210,1),(234,1),(243,1)}
       101:{2,3,5,7}:{(77,1),(112,1),(126,1),(127,1),(131,1),(163,1),(179,1),(209,1),(213,1),(214,1),(233,1)}
       102:{2,3,5,6,7}:{(78,1),(123,1),(128,1),(166,1),(205,1),(211,1)}
       103:{2,4,6}:{(78,1),(79,1),(124,1),(129,1)}
       104:{3,4,5,7}:{(79,1),(80,1),(114,1),(129,1),(166,1)}
       105:{2,3,4,7}:{(80,1),(81,1),(83,1),(115,1),(126,1),(130,1),(210,1),(214,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(116,1),(130,1),(131,1),(167,1)}
       107:{1,4,7}:{(83,1),(84,1),(118,1),(132,1)}
       108:{2,5,7}:{(84,1),(85,1),(119,1),(132,1)}
       109:{2,4,6}:{(86,1),(87,1),(97,1),(133,1),(134,1),(225,1)}
       110:{1,4,5}:{(87,1),(89,1),(133,1),(136,1),(187,1)}
       111:{1,3,4,6}:{(87,1),(88,1),(90,1),(100,1),(134,1),(136,1),(137,1)}
       112:{2,3,6}:{(88,1),(101,1),(137,1),(138,1),(143,1),(227,1)}
       113:{2,4,5,6}:{(89,1),(103,1),(135,1),(139,1),(140,1),(186,1),(237,1)}
       114:{3,5}:{(89,1),(90,1)}
       115:{2,3,4,6}:{(90,1),(91,1),(94,1),(105,1),(137,1),(141,1),(142,1),(222,1),(240,1)}
       116:{1,3,6}:{(91,1),(92,1),(106,1),(143,1)}
       117:{2,4,5}:{(93,1),(94,1),(141,1),(144,1),(240,1)}
       118:{1,4,6}:{(94,1),(95,1),(107,1),(144,1),(145,1)}
       119:{2,5,6}:{(95,1),(108,1),(143,1),(145,1),(189,1)}
       120:{2,5,6}:{(96,1),(98,1),(147,1),(227,1)}
       121:{2,4,5,7}:{(96,1),(97,1),(99,1),(133,1),(147,1),(148,1)}
       122:{3,4,7}:{(97,1),(134,1),(148,1),(157,1)}
       123:{1,3,5,6,7}:{(98,1),(102,1),(146,1),(150,1),(185,1),(192,1),(223,1),(226,1)}
       124:{1,4,6}:{(98,1),(99,1),(103,1),(147,1)}
       125:{1,3,4,5,7}:{(99,1),(100,1),(104,1),(136,1),(148,1),(151,1),(152,1),(180,1),(185,1),(194,1),(216,1),(218,1),(236,1),(238,1),(244,1)}
       126:{2,4,7}:{(100,1),(101,1),(137,1),(153,1),(225,1),(240,1)}
       127:{1,3,5,7}:{(101,1),(138,1),(153,1),(154,1),(187,1),(198,1),(224,1)}
       128:{2,4,6,7}:{(102,1),(103,1),(139,1),(150,1),(155,1)}
       129:{3,4,6}:{(103,1),(104,1),(140,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(142,1),(153,1),(156,1),(157,1),(198,1)}
       131:{2,5,7}:{(106,1),(143,1),(156,1),(189,1)}
       132:{2,4,7}:{(107,1),(108,1),(145,1),(157,1)}
       133:{2,4,5}:{(109,1),(110,1),(159,1),(163,1)}
       134:{3,4,6}:{(109,1),(122,1),(159,1),(170,1),(172,1),(210,1)}
       135:{1,4,5,6}:{(110,1),(113,1),(124,1),(158,1),(161,1),(162,1),(206,1),(229,1)}
       136:{1,3,5}:{(110,1),(111,1),(114,1),(159,1),(163,1)}
       137:{2,4,6}:{(111,1),(112,1),(126,1),(163,1),(164,1)}
       138:{1,3,6}:{(112,1),(127,1),(164,1),(165,1)}
       139:{2,4,5,7}:{(113,1),(128,1),(161,1),(166,1),(205,1),(241,1)}
       140:{3,5,6}:{(113,1),(114,1),(129,1),(166,1),(242,1)}
       141:{2,3,5}:{(114,1),(115,1),(117,1),(163,1),(167,1)}
       142:{1,3,4,6}:{(115,1),(116,1),(118,1),(130,1),(164,1),(167,1),(168,1),(170,1),(208,1),(210,1),(234,1)}
       143:{2,6}:{(116,1),(131,1)}
       144:{1,4,5}:{(117,1),(118,1),(167,1),(169,1),(234,1)}
       145:{2,4,6}:{(118,1),(119,1),(132,1),(169,1),(170,1)}
       146:{2,5,6,7}:{(120,1),(123,1),(171,1),(205,1),(235,1)}
       147:{2,4,6}:{(120,1),(121,1),(124,1),(172,1)}
       148:{3,5,7}:{(121,1),(122,1),(159,1),(172,1)}
       149:{2,3,4,7}:{(122,1),(126,1),(160,1),(173,1),(174,1),(179,1),(228,1),(243,1)}
       150:{1,4,6,7}:{(123,1),(124,1),(128,1),(161,1),(171,1)}
       151:{1,3,4,6}:{(124,1),(125,1),(129,1),(162,1),(172,1),(176,1),(199,1),(212,1),(229,1),(242,1)}
       152:{2,4,5,7}:{(125,1),(126,1),(163,1),(173,1),(176,1),(177,1),(200,1),(205,1),(213,1),(228,1),(230,1),(241,1)}
       153:{1,4,7}:{(126,1),(127,1),(164,1),(234,1)}
       154:{1,2,5,7}:{(127,1),(131,1),(165,1),(178,1),(207,1),(213,1)}
       155:{3,4,6,7}:{(128,1),(129,1),(166,1)}
       156:{2,4,7}:{(130,1),(131,1),(168,1),(179,1)}
       157:{3,7}:{(132,1),(170,1)}
       158:{2,4,5,6}:{(133,1),(135,1),(147,1),(181,1),(182,1),(186,1),(217,1)}
       159:{3,5}:{(133,1),(134,1)}
       160:{2,3,4,6}:{(134,1),(137,1),(149,1),(183,1),(184,1),(190,1),(193,1),(217,1),(225,1)}
       161:{1,4,5,7}:{(135,1),(139,1),(150,1),(181,1),(185,1),(223,1),(236,1)}
       162:{1,3,5,6}:{(135,1),(136,1),(140,1),(151,1),(182,1),(185,1),(186,1)}
       163:{2,5}:{(136,1),(137,1),(187,1)}
       164:{1,4,6}:{(137,1),(138,1),(153,1),(187,1)}
       165:{1,2,6}:{(138,1),(143,1),(154,1),(227,1)}
       166:{3,5,7}:{(139,1),(140,1),(155,1),(244,1)}
       167:{1,3,5}:{(141,1),(142,1),(144,1),(187,1),(189,1),(191,1)}
       168:{2,4,6}:{(142,1),(143,1),(156,1),(189,1),(190,1),(225,1)}
       169:{2,4,5}:{(144,1),(145,1),(189,1),(191,1),(225,1)}
       170:{3,6}:{(145,1),(157,1),(191,1)}
       171:{2,4,6,7}:{(146,1),(147,1),(150,1),(181,1),(192,1)}
       172:{3,6}:{(147,1),(148,1)}
       173:{2,3,5,7}:{(148,1),(149,1),(152,1),(183,1),(193,1),(194,1),(238,1),(244,1)}
       174:{1,3,4,7}:{(149,1),(153,1),(184,1),(194,1),(195,1),(198,1),(236,1),(244,1)}
       175:{1,3,4,6,7}:{(150,1),(151,1),(155,1),(185,1),(192,1),(196,1),(216,1),(226,1),(236,1),(244,1)}
       176:{2,4,6}:{(151,1),(152,1),(186,1),(193,1),(197,1),(227,1)}
       177:{1,4,5,7}:{(152,1),(153,1),(187,1),(194,1),(197,1),(218,1),(223,1),(236,1)}
       178:{1,2,4,7}:{(153,1),(154,1),(156,1),(188,1),(195,1),(198,1)}
       179:{2,3,7}:{(156,1),(157,1),(190,1),(198,1)}
       180:{3,4,5}:{(159,1),(199,1),(200,1),(210,1)}
       181:{2,4,5,7}:{(158,1),(161,1),(171,1),(201,1),(205,1),(228,1)}
       182:{3,5,6}:{(158,1),(159,1),(172,1),(199,1),(201,1)}
       183:{2,3,5}:{(159,1),(160,1),(163,1),(200,1),(203,1)}
       184:{1,3,4,6}:{(160,1),(164,1),(174,1),(203,1),(204,1),(208,1),(212,1),(229,1),(234,1),(242,1),(243,1)}
       185:{1,3,5,7}:{(161,1),(162,1),(166,1),(175,1),(201,1),(205,1)}
       186:{2,5,6}:{(162,1),(163,1),(176,1),(205,1),(206,1)}
       187:{1,5}:{(163,1),(164,1)}
       188:{1,2,4,6}:{(164,1),(165,1),(168,1),(178,1),(204,1),(207,1),(208,1),(234,1)}
       189:{2,5}:{(167,1),(168,1)}
       190:{2,3,6}:{(168,1),(170,1),(179,1),(208,1),(209,1)}
       191:{3,5}:{(169,1),(170,1),(210,1)}
       192:{3,6,7}:{(171,1),(172,1),(201,1)}
       193:{2,3,6}:{(172,1),(173,1),(176,1),(212,1),(242,1)}
       194:{1,3,5,7}:{(173,1),(174,1),(177,1),(203,1),(212,1),(213,1)}
       195:{2,4,7}:{(174,1),(204,1),(213,1),(214,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(205,1),(211,1),(215,1),(228,1),(235,1),(241,1)}
       197:{1,4,6}:{(176,1),(177,1),(206,1),(212,1)}
       198:{1,3,7}:{(178,1),(179,1),(208,1),(214,1)}
       199:{3,4,6}:{(180,1),(182,1),(216,1),(217,1)}
       200:{2,4,5}:{(180,1),(183,1),(217,1),(218,1),(225,1)}
       201:{3,5,7}:{(181,1),(182,1),(192,1),(216,1)}
       202:{2,3,5,6}:{(182,1),(183,1),(186,1),(193,1),(217,1),(219,1),(220,1)}
       203:{1,3,5}:{(183,1),(184,1),(187,1),(218,1),(221,1),(238,1)}
       204:{2,4,6}:{(184,1),(195,1),(221,1),(222,1),(227,1),(240,1)}
       205:{2,5,7}:{(185,1),(186,1),(196,1),(223,1)}
       206:{1,5,6}:{(186,1),(187,1),(197,1),(223,1)}
       207:{1,2,5}:{(187,1),(188,1),(189,1),(221,1),(224,1)}
       208:{1,3,6}:{(188,1),(190,1),(198,1),(222,1),(224,1)}
       209:{2,3,5}:{(189,1),(190,1),(191,1),(224,1),(225,1)}
       210:{3,4}:{(191,1),(225,1)}
       211:{2,3,6,7}:{(192,1),(193,1),(196,1),(219,1),(226,1),(244,1)}
       212:{1,3,6}:{(193,1),(194,1),(197,1),(227,1)}
       213:{2,5,7}:{(194,1),(195,1),(221,1),(227,1)}
       214:{2,3,7}:{(195,1),(198,1),(222,1),(244,1)}
       215:{1,4,6,7}:{(196,1),(197,1),(223,1),(226,1),(236,1)}
       216:{3,4,7}:{(199,1),(201,1),(228,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1),(229,1)}
       218:{1,4,5}:{(200,1),(203,1),(229,1),(230,1),(234,1)}
       219:{2,3,5,7}:{(201,1),(202,1),(205,1),(211,1),(228,1),(231,1)}
       220:{1,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(229,1),(231,1),(232,1),(242,1)}
       221:{2,5}:{(203,1),(204,1)}
       222:{2,3,6}:{(204,1),(208,1),(214,1),(233,1),(242,1)}
       223:{1,5,7}:{(205,1),(206,1),(215,1)}
       224:{1,3,5}:{(207,1),(208,1),(209,1),(233,1),(234,1)}
       225:{2,4}:{(209,1),(210,1),(234,1)}
       226:{1,3,6,7}:{(211,1),(212,1),(215,1),(231,1),(235,1)}
       227:{2,6}:{(212,1),(213,1)}
       228:{2,4,7}:{(216,1),(217,1),(219,1),(236,1)}
       229:{1,4,6}:{(217,1),(218,1),(220,1),(236,1),(237,1)}
       230:{2,4,5}:{(218,1),(221,1),(237,1),(238,1),(240,1)}
       231:{1,3,5,7}:{(219,1),(220,1),(223,1),(226,1),(236,1),(239,1),(244,1)}
       232:{2,5,6}:{(220,1),(221,1),(227,1),(237,1),(239,1)}
       233:{2,3,5}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{1,4}:{(224,1),(225,1),(240,1)}
       235:{2,6,7}:{(226,1),(227,1),(239,1)}
       236:{1,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,6}:{(229,1),(230,1),(232,1),(241,1),(242,1)}
       238:{3,5}:{(230,1),(242,1),(243,1)}
       239:{2,5,7}:{(231,1),(232,1),(235,1),(241,1)}
       240:{2,4}:{(233,1),(234,1),(243,1)}
       241:{2,4,7}:{(236,1),(237,1),(239,1),(244,1)}
       242:{3,6}:{(237,1),(238,1),(244,1)}
       243:{3,4}:{(238,1),(240,1)}
       244:{3,7}:{(241,1),(242,1)}

2283 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(92,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(43,1),(49,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(70,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(112,1),(139,1),(143,1)}
         4:{2,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(25,1),(36,1),(62,1),(75,1),(105,1),(106,1),(112,1),(116,1),(118,1),(139,1),(143,1),(145,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(92,1),(94,1),(132,1)}
         7:{1,4,6,7}:{(2,1),(4,1),(13,1),(14,1),(91,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(93,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(14,1),(18,1),(19,1),(43,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(156,1)}
        12:{1,3,5,6}:{(5,1),(16,1),(21,1),(22,1),(95,1),(124,1),(132,1),(138,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,4,5,7}:{(7,1),(10,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(11,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(12,1),(28,1),(29,1),(114,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{2,4,5,6}:{(10,1),(25,1),(31,1),(62,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(31,1)}
        20:{2,3,4,6,7}:{(11,1),(27,1),(33,1),(34,1),(66,1),(69,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        21:{1,3,4,6}:{(12,1),(28,1),(35,1),(36,1),(145,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(29,1),(36,1),(37,1),(62,1),(74,1),(104,1),(116,1),(119,1),(143,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(134,1)}
        25:{1,4,5,6}:{(14,1),(18,1),(38,1),(41,1),(84,1),(91,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(19,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(21,1),(45,1),(129,1),(134,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(22,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        32:{3,4,5,7}:{(19,1),(48,1),(50,1),(156,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(43,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(44,1),(51,1),(52,1),(88,1),(89,1),(91,1),(124,1),(129,1),(132,1),(134,1),(159,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(53,1),(95,1),(137,1),(160,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(45,1),(53,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(46,1),(55,1),(56,1),(84,1),(95,1),(98,1),(124,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(73,1),(99,1),(104,1),(115,1),(150,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(31,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(32,1),(35,1),(58,1),(61,1),(63,1),(71,1),(101,1),(107,1),(114,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(36,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(37,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,3,5,6}:{(31,1),(33,1),(62,1),(69,1),(70,1),(104,1)}
        50:{2,4,5,7}:{(32,1),(33,1),(69,1),(71,1),(142,1),(166,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(64,1),(70,1),(71,1),(72,1),(114,1),(169,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(110,1),(112,1),(115,1),(143,1),(168,1)}
        53:{2,4,5}:{(35,1),(36,1),(74,1),(75,1),(116,1),(153,1)}
        54:{2,3,4,6}:{(36,1),(66,1),(74,1),(76,1),(104,1),(119,1),(150,1),(153,1),(165,1),(168,1)}
        55:{1,4,6}:{(36,1),(37,1),(67,1),(75,1)}
        56:{1,2,5,6}:{(37,1),(68,1),(77,1),(116,1),(143,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(134,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(48,1),(78,1),(83,1),(91,1),(120,1),(124,1),(132,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(53,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(52,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(54,1),(85,1),(89,1),(131,1),(134,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(55,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(56,1),(90,1),(127,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,3,5,6}:{(49,1),(51,1),(84,1),(91,1),(92,1),(124,1),(132,1)}
        71:{1,4,5,7}:{(50,1),(51,1),(91,1),(93,1),(129,1),(160,1)}
        72:{2,5,7}:{(51,1),(52,1),(92,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(88,1),(94,1),(131,1),(132,1),(158,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,4,5}:{(53,1),(55,1),(95,1),(164,1)}
        76:{1,3,4,6}:{(54,1),(55,1),(89,1),(95,1),(97,1),(98,1),(124,1),(137,1),(138,1),(164,1),(172,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(90,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(115,1),(151,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(74,1),(104,1),(107,1),(114,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(75,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(72,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(73,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(76,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(77,1),(110,1),(111,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,5,6}:{(70,1),(72,1),(112,1),(143,1)}
        93:{2,4,5,7}:{(71,1),(72,1),(112,1),(114,1),(115,1),(151,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(109,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(116,1),(174,1)}
        96:{1,2,4,5}:{(75,1),(77,1),(116,1),(117,1),(153,1)}
        97:{2,4,6}:{(76,1),(110,1),(116,1),(119,1),(143,1),(153,1)}
        98:{1,3,6}:{(77,1),(111,1),(117,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(132,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(92,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(95,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(93,1),(96,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(94,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(97,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(98,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{2,3,5,6}:{(92,1),(94,1),(126,1),(132,1),(133,1),(158,1),(163,1),(173,1)}
       114:{3,5,7}:{(93,1),(132,1),(134,1),(163,1)}
       115:{2,4,7}:{(94,1),(129,1),(133,1),(134,1)}
       116:{2,5}:{(95,1),(97,1)}
       117:{1,3,5}:{(96,1),(98,1),(136,1),(137,1)}
       118:{1,2,4,6}:{(97,1),(130,1),(135,1),(138,1),(157,1),(164,1),(172,1)}
       119:{2,3,6}:{(97,1),(98,1),(131,1),(136,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(112,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(113,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(116,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(114,1),(117,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(115,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(118,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(119,1),(149,1)}
       132:{3,6}:{(112,1),(114,1)}
       133:{2,4,6}:{(113,1),(115,1),(145,1),(150,1),(151,1)}
       134:{3,4,7}:{(114,1),(115,1),(150,1)}
       135:{1,2,5}:{(116,1),(118,1),(152,1),(174,1)}
       136:{2,3,5}:{(116,1),(117,1),(119,1),(152,1),(153,1)}
       137:{1,3,4}:{(117,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(149,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(132,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(133,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(135,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(136,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(137,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(138,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(133,1),(160,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(138,1),(164,1)}
       153:{2,4}:{(136,1),(137,1),(164,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(153,1),(168,1),(170,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(164,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2284 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(123,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(80,1),(122,1)}
         3:{3,4,5,7}:{(0,1),(8,1),(9,1),(107,1),(121,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(10,1),(11,1),(59,1),(80,1)}
         5:{1,3,4,5}:{(1,1),(10,1),(12,1),(32,1),(55,1),(82,1)}
         6:{2,3,5,6}:{(2,1),(4,1),(13,1),(14,1)}
         7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(66,1),(119,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(17,1),(96,1),(118,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(13,1),(20,1),(21,1),(40,1),(45,1),(66,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(76,1),(96,1)}
        12:{2,4,5}:{(5,1),(20,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(7,1),(10,1),(23,1),(24,1),(26,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(11,1),(24,1),(25,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1),(52,1),(112,1),(113,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(24,1),(27,1),(28,1),(83,1),(111,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(25,1),(28,1),(29,1)}
        18:{3,5,6,7}:{(9,1),(29,1),(30,1),(121,1)}
        19:{1,2,4,5}:{(12,1),(31,1),(32,1),(60,1),(82,1),(90,1)}
        20:{2,4,6}:{(10,1),(12,1),(23,1),(33,1),(34,1)}
        21:{1,3,4,7}:{(10,1),(11,1),(24,1),(34,1),(56,1),(62,1),(83,1)}
        22:{2,3,5}:{(12,1),(32,1),(33,1),(35,1)}
        23:{2,5,6}:{(13,1),(20,1),(38,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(16,1),(21,1),(38,1),(39,1),(41,1)}
        25:{2,3,6,7}:{(14,1),(17,1),(39,1)}
        26:{3,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(70,1),(101,1),(103,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{2,5,6,7}:{(17,1),(18,1),(43,1),(118,1)}
        30:{4,5,6,7}:{(18,1),(124,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(36,1),(45,1),(46,1),(66,1),(75,1)}
        32:{1,3,5}:{(19,1),(22,1),(44,1),(45,1),(47,1)}
        33:{2,3,6}:{(20,1),(22,1),(45,1),(49,1)}
        34:{2,4,7}:{(20,1),(21,1),(38,1),(49,1)}
        35:{2,3,4}:{(22,1),(47,1)}
        36:{1,2,5,6}:{(23,1),(31,1),(50,1),(51,1),(90,1),(114,1)}
        37:{2,3,5,6}:{(23,1),(26,1),(33,1),(50,1),(52,1),(53,1),(63,1),(93,1),(112,1)}
        38:{2,5,7}:{(23,1),(24,1),(34,1),(54,1)}
        39:{1,3,6,7}:{(24,1),(25,1),(28,1),(54,1),(57,1)}
        40:{3,4,6}:{(26,1),(52,1),(55,1),(56,1)}
        41:{3,5,7}:{(26,1),(27,1),(56,1),(57,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(89,1)}
        43:{1,5,6,7}:{(28,1),(29,1),(58,1),(111,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(90,1)}
        45:{1,3,6}:{(31,1),(32,1),(33,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(31,1),(34,1),(51,1),(62,1),(83,1),(91,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(52,1),(61,1),(63,1),(64,1),(93,1)}
        49:{2,3,7}:{(33,1),(34,1),(62,1)}
        50:{1,3,5,6}:{(36,1),(37,1),(45,1),(65,1),(66,1),(67,1),(77,1),(105,1),(119,1)}
        51:{1,2,5,7}:{(36,1),(38,1),(46,1),(67,1),(68,1),(104,1)}
        52:{2,4,6}:{(37,1),(40,1),(66,1),(69,1),(70,1)}
        53:{2,3,5,7}:{(37,1),(38,1),(41,1),(49,1),(67,1),(70,1),(71,1),(101,1)}
        54:{2,6,7}:{(38,1),(39,1)}
        55:{3,4,5}:{(40,1),(69,1)}
        56:{3,4,7}:{(40,1),(41,1),(70,1)}
        57:{3,6,7}:{(41,1),(42,1)}
        58:{2,5,6,7}:{(42,1),(43,1),(74,1),(101,1)}
        59:{2,3,6}:{(44,1),(45,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,4,6}:{(45,1),(47,1),(48,1),(66,1),(75,1),(77,1),(78,1),(94,1),(105,1)}
        62:{1,3,7}:{(45,1),(46,1),(49,1),(76,1)}
        63:{2,3,5}:{(48,1),(69,1),(77,1)}
        64:{2,3,4,7}:{(48,1),(49,1),(70,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(59,1),(80,1),(81,1),(90,1),(106,1),(114,1),(120,1),(122,1)}
        66:{1,4,6}:{(50,1),(52,1),(80,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(62,1),(81,1),(83,1),(84,1),(111,1)}
        68:{1,2,6,7}:{(51,1),(54,1),(84,1),(114,1)}
        69:{2,4,5}:{(52,1),(55,1),(63,1),(82,1)}
        70:{2,4,7}:{(52,1),(53,1),(56,1),(83,1)}
        71:{2,3,6,7}:{(53,1),(54,1),(57,1),(84,1),(86,1),(93,1)}
        72:{3,4,5,7}:{(55,1),(56,1),(85,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(86,1),(87,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(57,1),(58,1),(88,1),(89,1)}
        75:{2,4,6}:{(59,1),(60,1),(61,1),(90,1),(91,1),(114,1)}
        76:{2,3,7}:{(59,1),(62,1),(91,1)}
        77:{1,3,5}:{(61,1),(63,1),(82,1),(90,1),(106,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(83,1),(91,1),(92,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(85,1),(92,1),(93,1)}
        80:{2,4,6}:{(65,1),(66,1),(94,1),(95,1),(96,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(76,1),(96,1),(97,1),(104,1),(115,1),(118,1)}
        82:{1,4,5}:{(66,1),(69,1),(77,1),(95,1)}
        83:{1,4,7}:{(66,1),(67,1),(70,1),(96,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(71,1),(97,1),(99,1),(105,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(72,1),(79,1),(98,1),(100,1),(101,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(73,1),(99,1),(100,1),(101,1)}
        87:{3,4,6}:{(72,1),(100,1),(102,1)}
        88:{3,5,7}:{(73,1),(101,1),(102,1),(103,1)}
        89:{4,6,7}:{(74,1),(103,1)}
        90:{2,5}:{(75,1),(77,1)}
        91:{2,4,7}:{(75,1),(76,1),(78,1),(104,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(98,1),(104,1),(105,1),(115,1)}
        93:{2,3,6}:{(79,1),(100,1),(105,1)}
        94:{3,4,6}:{(80,1),(106,1),(107,1),(120,1)}
        95:{2,4,5}:{(80,1),(82,1),(90,1),(106,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(107,1)}
        97:{2,3,6,7}:{(81,1),(84,1),(109,1),(114,1),(120,1)}
        98:{1,4,5,7}:{(82,1),(83,1),(85,1),(92,1),(108,1),(110,1),(111,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(86,1),(109,1),(110,1),(111,1)}
       100:{2,4,6}:{(85,1),(87,1),(93,1),(110,1),(112,1)}
       101:{2,5,7}:{(86,1),(88,1),(111,1),(112,1)}
       102:{3,5,6}:{(87,1),(88,1),(112,1),(113,1)}
       103:{4,5,7}:{(88,1),(89,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(110,1),(114,1),(120,1)}
       106:{3,5}:{(94,1),(95,1)}
       107:{3,4,7}:{(94,1),(96,1),(115,1)}
       108:{2,4,5,7}:{(95,1),(96,1),(98,1),(104,1),(115,1),(117,1),(118,1),(124,1)}
       109:{2,4,6,7}:{(96,1),(97,1),(99,1),(116,1),(117,1),(118,1)}
       110:{1,4,6}:{(98,1),(100,1),(105,1),(117,1),(119,1)}
       111:{1,5,7}:{(99,1),(101,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(102,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,5,7}:{(106,1),(107,1),(108,1),(120,1)}
       116:{3,4,6,7}:{(107,1),(109,1),(120,1),(121,1),(125,1)}
       117:{2,4,6}:{(108,1),(110,1),(114,1),(120,1),(122,1),(125,1)}
       118:{2,5,7}:{(109,1),(111,1),(121,1),(122,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,6}:{(115,1),(117,1)}
       121:{3,5,7}:{(116,1),(118,1),(123,1),(124,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(123,1)}
       123:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       124:{4,5,7}:{(121,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2285 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(35,1),(123,1),(130,1),(132,1),(137,1),(184,1),(187,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(97,1),(101,1),(106,1),(109,1),(161,1),(168,1),(216,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(55,1),(105,1),(212,1),(215,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(69,1),(117,1),(123,1),(130,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(32,1),(74,1),(82,1),(192,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(37,1),(80,1),(83,1),(241,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(44,1),(48,1),(89,1),(97,1),(101,1),(147,1),(161,1),(204,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(200,1),(203,1)}
         9:{1,2,4,5,7}:{(4,1),(19,1),(20,1),(49,1),(54,1),(97,1),(104,1),(106,1),(153,1),(216,1),(217,1),(223,1),(263,1)}
        10:{2,3,5,7}:{(4,1),(19,1),(21,1),(22,1),(59,1),(220,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(17,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(24,1),(25,1),(105,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{2,4,6,7}:{(7,1),(11,1),(31,1),(32,1),(74,1),(179,1),(192,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(12,1),(32,1),(33,1),(75,1),(231,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1),(34,1),(123,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(79,1),(184,1),(243,1),(248,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(37,1),(38,1),(77,1),(80,1),(183,1),(241,1),(281,1)}
        21:{2,3,4,7}:{(10,1),(36,1),(39,1),(74,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(37,1)}
        23:{2,5,6}:{(11,1),(12,1),(32,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(33,1),(41,1),(80,1)}
        25:{3,4,5,6}:{(13,1),(34,1),(133,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{1,2,4,6,7}:{(16,1),(20,1),(48,1),(49,1),(94,1),(97,1),(204,1),(205,1),(217,1)}
        31:{2,3,6,7}:{(16,1),(22,1),(48,1),(51,1),(89,1),(220,1)}
        32:{2,5,7}:{(16,1),(17,1),(23,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(52,1),(97,1)}
        34:{3,4,5,7}:{(18,1),(25,1),(45,1),(154,1),(200,1)}
        35:{2,3,5,7}:{(19,1),(54,1),(55,1),(104,1),(263,1),(264,1),(269,1)}
        36:{1,3,4,7}:{(19,1),(21,1),(54,1),(56,1),(97,1),(154,1),(270,1)}
        37:{1,3,6}:{(19,1),(20,1),(22,1),(55,1),(212,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(49,1),(57,1),(104,1),(152,1),(255,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(56,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(51,1),(57,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(52,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(53,1),(61,1),(62,1),(107,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(32,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(33,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(34,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{1,3,6,7}:{(30,1),(31,1),(37,1),(69,1),(71,1),(243,1)}
        49:{1,2,5,7}:{(30,1),(32,1),(38,1),(71,1),(122,1),(231,1)}
        50:{2,3,4,6,7}:{(31,1),(39,1),(70,1),(73,1),(74,1),(116,1),(128,1),(174,1),(185,1),(238,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(40,1),(71,1),(74,1),(75,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(41,1),(65,1),(74,1),(75,1)}
        53:{1,3,4,5,7}:{(33,1),(34,1),(42,1),(66,1),(75,1),(76,1),(119,1),(126,1),(131,1),(173,1),(181,1),(237,1)}
        54:{2,4,7}:{(35,1),(36,1),(77,1),(286,1)}
        55:{2,3,6}:{(35,1),(37,1),(77,1),(281,1)}
        56:{1,3,4,6}:{(36,1),(37,1),(39,1),(77,1),(79,1),(80,1),(133,1)}
        57:{1,3,5,6}:{(37,1),(38,1),(40,1),(71,1),(78,1),(79,1),(80,1)}
        58:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(80,1),(81,1),(85,1),(132,1),(135,1),(139,1),(172,1),(183,1),(195,1),(196,1),(230,1),(236,1),(241,1),(246,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        59:{2,3,5}:{(39,1),(79,1),(82,1)}
        60:{2,4,6}:{(40,1),(74,1),(80,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(75,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(76,1),(84,1),(85,1),(135,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(49,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(51,1),(86,1),(88,1),(89,1),(99,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(52,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(53,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(48,1),(55,1),(94,1),(95,1),(212,1),(264,1)}
        70:{1,3,4,6,7}:{(48,1),(50,1),(56,1),(94,1),(96,1),(97,1),(154,1),(155,1),(204,1),(212,1),(214,1),(262,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(51,1),(57,1),(95,1),(97,1)}
        72:{1,2,4,5,7}:{(49,1),(52,1),(58,1),(87,1),(97,1),(98,1),(103,1),(141,1),(153,1),(157,1),(162,1),(203,1),(210,1),(216,1),(217,1),(256,1),(263,1),(288,1),(292,1)}
        73:{2,3,5,7}:{(50,1),(59,1),(96,1),(99,1),(100,1),(145,1),(203,1)}
        74:{2,4,7}:{(51,1),(60,1),(97,1),(101,1)}
        75:{3,5,7}:{(52,1),(61,1),(89,1),(101,1)}
        76:{2,4,5,7}:{(53,1),(62,1),(90,1),(102,1),(103,1),(157,1),(162,1),(203,1)}
        77:{2,4,6}:{(54,1),(55,1),(56,1),(104,1)}
        78:{2,3,5,6}:{(55,1),(57,1),(95,1),(104,1),(105,1),(152,1),(163,1),(212,1)}
        79:{1,3,5}:{(56,1),(59,1),(104,1),(106,1),(163,1)}
        80:{1,4,6}:{(57,1),(60,1),(97,1),(105,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(61,1),(98,1),(107,1),(108,1),(163,1),(212,1),(221,1),(224,1),(260,1),(262,1),(307,1),(314,1)}
        82:{2,4,5}:{(59,1),(60,1),(106,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(101,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(102,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(103,1),(111,1),(166,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(71,1),(112,1),(113,1),(114,1),(124,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(241,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(74,1),(113,1),(115,1),(116,1),(128,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(75,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(76,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(77,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(78,1),(122,1),(123,1),(184,1)}
        96:{1,3,5,7}:{(70,1),(73,1),(79,1),(122,1),(124,1),(125,1),(184,1),(231,1)}
        97:{1,4,7}:{(71,1),(74,1),(80,1),(123,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(81,1),(114,1),(126,1),(127,1),(184,1),(237,1),(243,1),(300,1)}
        99:{2,3,5,6}:{(73,1),(124,1),(128,1),(176,1),(230,1),(238,1)}
       100:{2,4,5,7}:{(73,1),(74,1),(82,1),(125,1),(128,1),(129,1)}
       101:{3,4,7}:{(74,1),(75,1),(83,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(84,1),(117,1),(130,1),(131,1),(237,1)}
       103:{1,4,5,7}:{(76,1),(85,1),(118,1),(131,1),(188,1),(231,1)}
       104:{2,5}:{(77,1),(79,1)}
       105:{2,4,6}:{(78,1),(80,1),(123,1),(132,1),(133,1)}
       106:{1,4,5}:{(79,1),(80,1),(82,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(83,1),(126,1),(133,1),(134,1),(135,1),(280,1),(303,1),(312,1)}
       108:{2,3,5,6}:{(81,1),(127,1),(135,1),(136,1),(139,1),(193,1),(198,1),(230,1),(238,1),(246,1),(247,1),(281,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(130,1),(135,1),(137,1),(138,1),(247,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(131,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(97,1),(140,1),(141,1),(155,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(98,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(101,1),(145,1),(159,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(102,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(103,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(104,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(105,1),(154,1)}
       124:{1,3,5,6}:{(96,1),(99,1),(152,1),(155,1),(212,1),(255,1),(262,1)}
       125:{1,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(153,1),(155,1)}
       126:{1,3,4,7}:{(97,1),(98,1),(101,1),(107,1),(154,1),(157,1),(261,1),(292,1),(308,1)}
       127:{2,3,5,7}:{(98,1),(108,1),(143,1),(157,1),(158,1),(162,1),(203,1),(220,1),(263,1),(264,1)}
       128:{2,4,6}:{(99,1),(100,1),(155,1),(159,1)}
       129:{3,4,5,7}:{(100,1),(101,1),(109,1),(145,1),(159,1)}
       130:{2,3,4,7}:{(101,1),(102,1),(110,1),(157,1),(161,1),(261,1),(264,1)}
       131:{1,3,5,7}:{(102,1),(103,1),(111,1),(147,1),(161,1),(162,1)}
       132:{2,4,5}:{(104,1),(105,1),(106,1),(163,1)}
       133:{3,4,6}:{(105,1),(154,1),(163,1),(212,1)}
       134:{1,3,4,5}:{(106,1),(107,1),(109,1),(163,1),(165,1),(221,1),(294,1),(310,1),(314,1)}
       135:{2,4,6}:{(107,1),(108,1),(157,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(108,1),(158,1),(166,1),(167,1),(221,1),(224,1),(255,1),(262,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(165,1),(168,1),(269,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(161,1),(166,1),(168,1),(169,1),(224,1)}
       139:{2,5,6}:{(111,1),(162,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(126,1),(171,1),(173,1),(174,1),(186,1)}
       143:{2,3,6,7}:{(114,1),(127,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(128,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(130,1),(174,1),(177,1),(178,1),(190,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(131,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(124,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(125,1),(132,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(133,1),(184,1)}
       155:{1,4,6}:{(124,1),(125,1),(128,1),(183,1)}
       156:{1,3,4,5,7}:{(125,1),(126,1),(129,1),(134,1),(173,1),(184,1),(186,1),(187,1),(226,1),(239,1),(272,1),(300,1)}
       157:{2,4,7}:{(126,1),(127,1),(135,1),(188,1)}
       158:{1,3,5,7}:{(127,1),(136,1),(175,1),(188,1),(189,1),(231,1),(243,1)}
       159:{3,4,6}:{(128,1),(129,1),(176,1)}
       160:{2,3,4,5,7}:{(129,1),(130,1),(137,1),(177,1),(187,1),(190,1),(191,1),(282,1),(300,1),(302,1),(313,1)}
       161:{1,3,4,7}:{(130,1),(131,1),(138,1),(188,1),(192,1),(243,1)}
       162:{2,5,7}:{(131,1),(139,1),(179,1),(192,1)}
       163:{3,5}:{(132,1),(133,1)}
       164:{2,3,4,6}:{(133,1),(135,1),(185,1),(193,1),(194,1),(198,1),(238,1),(249,1),(312,1)}
       165:{2,4,5}:{(134,1),(135,1),(193,1),(195,1),(246,1)}
       166:{1,4,6}:{(135,1),(136,1),(188,1),(195,1)}
       167:{1,2,5,6}:{(136,1),(139,1),(189,1),(196,1),(246,1),(281,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(195,1),(197,1),(248,1)}
       169:{2,4,6}:{(138,1),(139,1),(192,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(155,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(157,1),(203,1),(204,1),(215,1)}
       175:{1,3,6,7}:{(143,1),(158,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(159,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(161,1),(204,1),(207,1),(208,1),(211,1),(218,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(162,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(155,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(163,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(157,1),(164,1),(213,1),(214,1),(220,1),(308,1)}
       186:{1,3,4,6}:{(155,1),(156,1),(159,1),(202,1),(212,1),(215,1),(250,1),(262,1),(287,1),(307,1)}
       187:{2,4,5,7}:{(156,1),(157,1),(165,1),(203,1),(213,1),(215,1),(216,1),(263,1)}
       188:{1,4,7}:{(157,1),(158,1),(166,1)}
       189:{1,2,5,7}:{(158,1),(162,1),(167,1),(205,1),(217,1),(263,1)}
       190:{2,3,4,6}:{(159,1),(160,1),(206,1),(215,1),(218,1),(295,1),(307,1),(309,1)}
       191:{1,3,4,5,7}:{(160,1),(161,1),(168,1),(207,1),(216,1),(218,1),(219,1),(261,1),(266,1),(292,1),(294,1),(310,1)}
       192:{2,4,7}:{(161,1),(162,1),(169,1),(220,1)}
       193:{2,3,5}:{(163,1),(164,1),(165,1),(221,1),(314,1)}
       194:{1,3,4,6}:{(164,1),(166,1),(214,1),(221,1),(222,1),(224,1),(262,1),(270,1)}
       195:{1,4,5}:{(165,1),(166,1),(221,1)}
       196:{1,2,4,6}:{(166,1),(167,1),(169,1),(217,1),(222,1),(223,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(220,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(285,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(186,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(188,1),(231,1),(241,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(189,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(190,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(192,1),(234,1),(235,1),(244,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(187,1),(193,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(188,1),(194,1),(239,1),(240,1),(243,1)}
       215:{2,4,6}:{(186,1),(187,1),(230,1),(238,1),(241,1),(281,1)}
       216:{1,4,5,7}:{(187,1),(188,1),(195,1),(231,1),(239,1),(241,1)}
       217:{1,2,4,7}:{(188,1),(189,1),(192,1),(196,1),(240,1),(243,1)}
       218:{1,3,4,6}:{(190,1),(191,1),(233,1),(241,1),(244,1),(280,1),(283,1),(303,1)}
       219:{2,4,5,7}:{(191,1),(192,1),(197,1),(234,1),(244,1),(245,1),(279,1),(304,1)}
       220:{2,3,7}:{(192,1),(198,1),(243,1)}
       221:{1,3,5}:{(193,1),(194,1),(195,1),(246,1)}
       222:{2,4,6}:{(194,1),(240,1),(246,1),(247,1),(281,1),(286,1)}
       223:{1,2,4,5}:{(195,1),(196,1),(197,1),(246,1),(248,1),(286,1)}
       224:{1,3,6}:{(196,1),(198,1),(243,1),(247,1),(248,1)}
       225:{2,3,5}:{(197,1),(198,1),(248,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(215,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(217,1),(254,1),(256,1),(257,1),(265,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(218,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(220,1),(257,1),(259,1),(267,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(215,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(216,1),(221,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(222,1),(263,1),(264,1)}
       241:{1,4,6}:{(215,1),(216,1),(255,1),(262,1)}
       242:{1,2,4,5,7}:{(216,1),(217,1),(219,1),(223,1),(256,1),(263,1),(265,1),(266,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       243:{1,3,7}:{(217,1),(220,1),(224,1),(264,1)}
       244:{2,4,6}:{(218,1),(219,1),(258,1),(267,1)}
       245:{2,3,5,7}:{(219,1),(220,1),(225,1),(266,1),(267,1),(268,1),(298,1)}
       246:{2,5}:{(221,1),(222,1)}
       247:{2,3,6}:{(222,1),(224,1),(264,1),(269,1)}
       248:{1,3,5}:{(223,1),(224,1),(225,1),(269,1),(270,1)}
       249:{2,3,4}:{(225,1),(270,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(241,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(243,1),(275,1),(277,1),(283,1)}
       258:{2,5,6}:{(233,1),(234,1),(244,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(241,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(246,1),(281,1)}
       264:{2,3,7}:{(240,1),(243,1),(247,1)}
       265:{1,2,4,6}:{(241,1),(242,1),(244,1),(276,1),(281,1),(283,1),(299,1),(303,1),(305,1)}
       266:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(282,1),(283,1),(284,1),(300,1),(306,1)}
       267:{2,3,6}:{(244,1),(245,1),(283,1)}
       268:{2,3,4,7}:{(245,1),(249,1),(279,1),(284,1),(285,1)}
       269:{2,3,5}:{(246,1),(247,1),(248,1),(286,1)}
       270:{1,3,4}:{(248,1),(249,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(265,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(267,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(266,1),(269,1),(295,1),(296,1),(311,1)}
       283:{1,3,6}:{(265,1),(266,1),(267,1),(295,1),(307,1)}
       284:{1,3,4,7}:{(266,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       285:{2,3,4,6}:{(267,1),(268,1),(293,1),(297,1),(298,1)}
       286:{2,4}:{(269,1),(270,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(283,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(283,1),(305,1)}
       296:{2,4,7}:{(282,1),(284,1),(286,1),(305,1)}
       297:{1,3,4,6}:{(283,1),(284,1),(285,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(285,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2286 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2287 :   0:{1,2,3,6,7}:{(1,1),(2,1),(37,1),(40,1),(73,1),(89,1),(244,1),(368,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(121,1),(288,1),(353,1),(357,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(60,1),(107,1),(113,1),(122,1)}
         3:{2,3,4,6,7}:{(4,1),(8,1),(22,1),(27,1),(62,1),(68,1),(113,1),(177,1),(269,1),(341,1)}
         4:{1,3,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(12,1),(32,1),(38,1),(40,1),(88,1),(147,1),(153,1),(244,1),(326,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(14,1),(35,1),(40,1),(73,1),(85,1),(148,1),(154,1),(242,1),(320,1),(327,1)}
         6:{1,2,4,7}:{(1,1),(11,1),(12,1),(160,1),(326,1)}
         7:{1,2,5,7}:{(2,1),(10,1),(14,1),(148,1),(150,1)}
         8:{2,3,5,7}:{(3,1),(10,1),(15,1),(16,1),(93,1),(150,1),(222,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(22,1),(47,1),(62,1),(102,1),(113,1),(127,1),(216,1),(300,1)}
        10:{1,3,5,7}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1),(194,1),(196,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1),(21,1),(117,1),(199,1),(287,1)}
        12:{1,3,4,7}:{(6,1),(20,1),(22,1),(23,1),(357,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(18,1),(21,1),(23,1),(24,1),(51,1)}
        14:{1,2,5,6}:{(7,1),(19,1),(24,1),(108,1),(122,1)}
        15:{2,4,5,7}:{(8,1),(18,1),(26,1),(27,1),(266,1),(341,1)}
        16:{2,3,5,6}:{(8,1),(19,1),(27,1),(62,1),(64,1),(108,1)}
        17:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1),(136,1),(150,1),(169,1)}
        18:{1,4,5,7}:{(10,1),(15,1),(29,1),(32,1),(241,1),(326,1)}
        19:{1,3,5,6}:{(10,1),(14,1),(16,1),(30,1),(32,1),(40,1),(88,1),(149,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(34,1),(35,1),(40,1),(245,1),(327,1)}
        21:{1,2,4,5}:{(11,1),(35,1),(81,1),(148,1),(241,1)}
        22:{2,3,4,7}:{(12,1),(34,1),(38,1),(39,1),(160,1),(329,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(35,1),(39,1),(40,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(32,1),(40,1),(78,1)}
        25:{1,2,5,6,7}:{(14,1),(33,1),(41,1),(150,1),(163,1),(233,1),(243,1),(255,1),(304,1)}
        26:{3,4,5,7}:{(15,1),(44,1),(93,1),(305,1),(365,1)}
        27:{2,4,6}:{(15,1),(16,1),(32,1),(44,1)}
        28:{2,3,5,6,7}:{(16,1),(33,1),(45,1),(89,1),(93,1),(150,1),(304,1),(309,1),(362,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(46,1),(47,1),(213,1),(300,1)}
        30:{2,3,5,6}:{(17,1),(19,1),(47,1),(62,1),(98,1),(108,1)}
        31:{1,3,4,5,7}:{(18,1),(23,1),(26,1),(46,1),(51,1),(52,1),(54,1),(109,1),(118,1)}
        32:{1,4,6}:{(18,1),(19,1),(27,1),(47,1)}
        33:{1,3,5,6,7}:{(19,1),(25,1),(28,1),(48,1),(53,1),(63,1),(109,1),(123,1),(196,1),(288,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(56,1),(57,1),(62,1),(117,1),(200,1),(291,1)}
        35:{1,3,5}:{(20,1),(21,1),(57,1)}
        36:{1,2,4,5,6}:{(21,1),(24,1),(49,1),(58,1),(59,1),(108,1),(117,1),(192,1),(195,1),(211,1),(264,1),(282,1),(287,1),(290,1)}
        37:{1,2,3,7}:{(55,1),(60,1),(293,1)}
        38:{1,3,4,7}:{(22,1),(56,1),(60,1),(61,1),(206,1),(293,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(51,1),(57,1),(61,1),(62,1)}
        40:{1,3,6}:{(23,1),(24,1),(62,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(59,1),(63,1),(113,1),(275,1),(295,1),(336,1),(346,1)}
        42:{2,4,5,6}:{(27,1),(49,1),(64,1),(65,1),(108,1)}
        43:{2,3,4,5,7}:{(26,1),(51,1),(66,1),(67,1),(114,1),(129,1),(180,1),(203,1),(266,1),(335,1),(341,1),(344,1)}
        44:{3,4,6}:{(26,1),(27,1),(64,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(53,1),(65,1),(68,1),(341,1)}
        46:{3,4,5,7}:{(29,1),(71,1),(136,1),(256,1),(334,1)}
        47:{2,4,6}:{(29,1),(30,1),(32,1),(71,1)}
        48:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(89,1),(136,1),(150,1),(255,1),(260,1),(331,1)}
        49:{1,4,5,6}:{(32,1),(42,1),(69,1),(74,1),(75,1),(149,1)}
        50:{1,2,3,5,7}:{(37,1),(73,1),(76,1),(80,1),(87,1),(148,1),(151,1),(154,1),(227,1),(311,1)}
        51:{2,4,5,7}:{(31,1),(39,1),(77,1),(78,1),(81,1),(150,1),(160,1)}
        52:{1,3,4,6}:{(31,1),(32,1),(40,1),(44,1),(71,1),(74,1),(78,1)}
        53:{1,4,6,7}:{(32,1),(33,1),(45,1),(72,1),(75,1),(326,1)}
        54:{1,3,4,5}:{(35,1),(81,1),(82,1),(241,1),(256,1),(305,1)}
        55:{1,2,3,6}:{(37,1),(80,1),(83,1),(250,1)}
        56:{1,3,4,6}:{(34,1),(38,1),(83,1),(84,1),(88,1),(157,1),(159,1),(250,1)}
        57:{2,3,5}:{(34,1),(35,1),(81,1),(84,1)}
        58:{1,3,5,6}:{(35,1),(36,1),(40,1),(82,1),(85,1),(86,1),(257,1),(306,1),(327,1)}
        59:{1,2,4,5,7}:{(36,1),(41,1),(75,1),(86,1),(150,1),(160,1),(240,1),(243,1),(258,1),(307,1),(323,1),(326,1),(328,1)}
        60:{1,2,4,7}:{(37,1),(38,1),(83,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(77,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(78,1),(88,1)}
        63:{1,3,6,7}:{(40,1),(41,1),(86,1),(89,1),(331,1),(362,1)}
        64:{3,5,6}:{(42,1),(44,1),(93,1)}
        65:{2,4,5,7}:{(42,1),(45,1),(75,1),(93,1),(150,1)}
        66:{1,3,4,5,7}:{(43,1),(77,1),(95,1),(96,1),(151,1),(155,1),(171,1),(241,1),(249,1),(256,1),(326,1),(334,1),(366,1)}
        67:{2,3,4,6}:{(43,1),(44,1),(78,1),(92,1),(96,1),(225,1),(308,1),(361,1),(369,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(93,1),(362,1),(365,1)}
        69:{2,4,5,6}:{(47,1),(49,1),(98,1),(99,1),(108,1)}
        70:{2,3,4,5,7}:{(46,1),(51,1),(100,1),(101,1),(114,1),(130,1),(179,1),(203,1),(213,1),(294,1),(300,1),(344,1)}
        71:{3,4,6}:{(46,1),(47,1),(98,1)}
        72:{2,4,6,7}:{(47,1),(48,1),(53,1),(99,1),(102,1),(300,1)}
        73:{1,2,3,6}:{(50,1),(107,1),(122,1),(197,1),(343,1)}
        74:{1,3,5,6}:{(49,1),(52,1),(64,1),(98,1),(108,1),(109,1)}
        75:{1,4,5,7}:{(49,1),(53,1),(65,1),(99,1),(109,1),(196,1)}
        76:{1,2,4,7}:{(50,1),(107,1),(110,1),(115,1),(199,1)}
        77:{1,4,5,7}:{(51,1),(61,1),(112,1),(116,1),(196,1),(206,1)}
        78:{2,4,6}:{(51,1),(52,1),(62,1),(108,1),(112,1)}
        79:{1,3,4,6,7}:{(52,1),(53,1),(63,1),(68,1),(102,1),(109,1),(113,1),(118,1)}
        80:{1,2,3,5}:{(55,1),(115,1),(119,1),(204,1)}
        81:{2,4,5}:{(54,1),(57,1),(116,1),(117,1)}
        82:{1,3,4,6}:{(54,1),(58,1),(117,1),(118,1),(287,1),(298,1),(339,1)}
        83:{1,2,4,6}:{(55,1),(56,1),(60,1),(115,1),(119,1),(122,1)}
        84:{1,3,5}:{(56,1),(57,1),(116,1),(119,1)}
        85:{2,3,5,6}:{(57,1),(58,1),(62,1),(108,1),(117,1),(120,1),(121,1),(282,1),(291,1)}
        86:{1,3,5,7}:{(58,1),(59,1),(63,1),(118,1),(121,1),(299,1),(340,1),(357,1)}
        87:{1,2,5,7}:{(60,1),(61,1),(119,1),(122,1)}
        88:{1,3,6}:{(61,1),(62,1),(112,1),(122,1)}
        89:{2,3,6,7}:{(62,1),(63,1),(113,1),(121,1),(123,1),(346,1)}
        90:{2,4,5,6,7}:{(65,1),(104,1),(124,1),(187,1),(208,1),(336,1),(380,1)}
        91:{3,4,5,6}:{(64,1),(125,1),(126,1),(339,1),(378,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(108,1),(125,1),(128,1),(129,1),(378,1),(383,1)}
        93:{3,5,7}:{(64,1),(65,1),(68,1)}
        94:{2,3,4,7}:{(110,1),(127,1),(130,1),(200,1),(300,1)}
        95:{2,4,5,7}:{(66,1),(130,1),(131,1),(201,1),(213,1),(215,1),(292,1),(300,1)}
        96:{1,3,4,6}:{(66,1),(67,1),(112,1),(128,1),(131,1),(197,1),(287,1),(298,1),(381,1)}
        97:{2,3,4,6,7}:{(67,1),(68,1),(113,1),(129,1),(132,1),(203,1),(208,1),(269,1),(272,1),(341,1),(379,1),(384,1)}
        98:{3,5,6}:{(69,1),(71,1),(136,1)}
        99:{2,4,5,7}:{(69,1),(72,1),(75,1),(136,1),(150,1)}
       100:{1,3,4,5,7}:{(70,1),(77,1),(138,1),(139,1),(151,1),(155,1),(224,1),(241,1),(249,1),(305,1),(326,1),(365,1),(366,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(78,1),(135,1),(139,1),(172,1),(259,1),(330,1),(369,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(136,1),(331,1),(334,1)}
       103:{1,2,3,6,7}:{(73,1),(141,1),(142,1),(163,1),(227,1),(244,1),(315,1),(370,1)}
       104:{1,4,5,6,7}:{(75,1),(90,1),(133,1),(143,1),(233,1),(252,1),(301,1),(373,1)}
       105:{1,2,3,5,6}:{(73,1),(80,1),(141,1),(144,1),(148,1),(161,1),(232,1),(238,1),(242,1),(250,1),(315,1),(322,1)}
       106:{1,3,4,5,6}:{(74,1),(82,1),(91,1),(134,1),(145,1),(146,1),(167,1),(220,1),(236,1),(257,1),(306,1),(324,1),(371,1)}
       107:{1,2,4,6}:{(73,1),(76,1),(147,1),(148,1)}
       108:{2,5,6}:{(74,1),(78,1),(149,1),(150,1)}
       109:{1,3,5,7}:{(74,1),(75,1),(79,1),(93,1),(136,1),(150,1)}
       110:{1,3,4,7}:{(76,1),(94,1),(137,1),(147,1),(151,1),(157,1),(245,1),(326,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(87,1),(95,1),(138,1),(148,1),(151,1),(152,1),(158,1),(241,1),(243,1),(246,1),(251,1),(311,1),(326,1),(328,1),(366,1)}
       112:{1,4,6}:{(77,1),(78,1),(88,1),(149,1)}
       113:{2,4,6,7}:{(78,1),(79,1),(89,1),(150,1),(153,1),(160,1)}
       114:{2,3,4,5}:{(81,1),(155,1),(156,1),(247,1),(256,1),(305,1),(321,1)}
       115:{1,2,4}:{(80,1),(157,1)}
       116:{1,4,5}:{(81,1),(84,1),(159,1)}
       117:{2,4,6}:{(81,1),(82,1),(85,1),(159,1),(160,1)}
       118:{1,3,4,7}:{(82,1),(86,1),(160,1),(326,1),(334,1),(365,1)}
       119:{1,2,5}:{(83,1),(84,1)}
       120:{1,3,5,6}:{(84,1),(85,1),(88,1),(149,1),(159,1),(161,1),(162,1),(250,1)}
       121:{2,3,5,7}:{(85,1),(86,1),(89,1),(150,1),(160,1),(162,1),(323,1),(329,1)}
       122:{1,2,6}:{(87,1),(88,1)}
       123:{1,3,6,7}:{(88,1),(89,1),(153,1),(162,1),(163,1)}
       124:{3,5,6,7}:{(90,1),(93,1),(164,1),(362,1),(387,1)}
       125:{2,4,5,6}:{(91,1),(92,1),(167,1),(168,1),(308,1)}
       126:{3,4,5,7}:{(91,1),(93,1),(164,1),(168,1),(365,1),(387,1)}
       127:{2,3,4,6}:{(94,1),(147,1),(169,1),(172,1),(259,1)}
       128:{1,3,5,6}:{(92,1),(96,1),(149,1),(167,1),(170,1),(171,1),(257,1),(388,1)}
       129:{2,3,5,7}:{(92,1),(93,1),(97,1),(150,1),(168,1),(171,1),(387,1),(390,1)}
       130:{2,3,5,7}:{(94,1),(95,1),(151,1),(169,1),(172,1),(247,1),(329,1)}
       131:{2,4,6}:{(95,1),(96,1),(170,1),(172,1)}
       132:{1,3,4,6,7}:{(96,1),(97,1),(153,1),(171,1),(173,1),(244,1),(249,1),(252,1),(313,1),(326,1),(331,1),(334,1),(389,1)}
       133:{2,4,5,6,7}:{(99,1),(104,1),(174,1),(187,1),(261,1),(295,1),(360,1)}
       134:{3,4,5,6}:{(98,1),(175,1),(176,1),(298,1),(358,1)}
       135:{2,3,5,6}:{(98,1),(101,1),(108,1),(175,1),(178,1),(179,1),(358,1),(383,1)}
       136:{3,5,7}:{(98,1),(99,1),(102,1)}
       137:{2,3,4,7}:{(110,1),(177,1),(180,1),(200,1),(341,1)}
       138:{2,4,5,7}:{(100,1),(180,1),(181,1),(201,1),(266,1),(268,1),(292,1),(341,1)}
       139:{1,3,4,6}:{(100,1),(101,1),(112,1),(178,1),(181,1),(197,1),(287,1),(339,1),(381,1)}
       140:{2,3,4,6,7}:{(101,1),(102,1),(113,1),(179,1),(182,1),(203,1),(216,1),(261,1),(272,1),(300,1),(359,1),(384,1)}
       141:{1,2,3,5,7}:{(103,1),(105,1),(183,1),(186,1),(207,1),(273,1),(288,1),(293,1),(355,1)}
       142:{1,2,4,6,7}:{(103,1),(107,1),(183,1),(185,1),(186,1),(270,1),(274,1),(343,1),(384,1)}
       143:{1,3,5,6,7}:{(104,1),(109,1),(124,1),(174,1),(184,1),(187,1),(385,1)}
       144:{1,2,4,6}:{(105,1),(115,1),(183,1),(190,1),(191,1),(287,1),(354,1)}
       145:{2,4,5,6}:{(106,1),(108,1),(117,1),(189,1),(192,1),(193,1),(282,1),(354,1),(383,1)}
       146:{1,3,4,5,7}:{(106,1),(109,1),(118,1),(126,1),(176,1),(184,1),(193,1),(212,1),(265,1),(283,1),(299,1),(340,1),(356,1),(385,1)}
       147:{1,3,4,6}:{(107,1),(110,1),(127,1),(177,1),(194,1),(197,1),(287,1)}
       148:{1,2,5}:{(107,1),(194,1)}
       149:{1,5,6}:{(108,1),(112,1),(196,1)}
       150:{2,5,7}:{(108,1),(109,1),(113,1),(196,1)}
       151:{1,3,5,7}:{(110,1),(111,1),(130,1),(180,1),(194,1),(197,1),(204,1),(289,1),(293,1),(357,1)}
       152:{1,2,4,6}:{(111,1),(112,1),(122,1),(131,1),(181,1),(195,1),(197,1),(287,1),(343,1),(381,1)}
       153:{1,4,6,7}:{(112,1),(113,1),(123,1),(196,1),(206,1)}
       154:{1,2,3,5}:{(188,1),(199,1),(280,1),(289,1)}
       155:{1,3,4,5}:{(114,1),(116,1),(201,1),(202,1),(204,1),(289,1),(351,1)}
       156:{2,3,4,6}:{(114,1),(117,1),(189,1),(202,1),(203,1),(291,1),(298,1),(339,1),(354,1)}
       157:{1,3,4}:{(115,1),(200,1),(204,1)}
       158:{1,2,4,5}:{(115,1),(116,1),(119,1),(201,1),(204,1),(205,1)}
       159:{1,4,6}:{(116,1),(117,1),(120,1),(206,1)}
       160:{2,4,7}:{(117,1),(118,1),(121,1),(206,1)}
       161:{1,2,5,6}:{(119,1),(120,1),(122,1),(205,1),(207,1),(282,1)}
       162:{1,3,5,7}:{(120,1),(121,1),(123,1),(196,1),(206,1),(207,1),(293,1)}
       163:{1,2,6,7}:{(122,1),(123,1),(207,1),(346,1)}
       164:{3,4,6,7}:{(124,1),(126,1),(208,1)}
       165:{2,3,4,6,7}:{(127,1),(185,1),(209,1),(216,1),(271,1),(296,1),(300,1),(345,1),(359,1),(384,1)}
       166:{2,3,5,6,7}:{(124,1),(129,1),(187,1),(208,1),(210,1),(272,1)}
       167:{1,4,5,6}:{(125,1),(128,1),(211,1),(212,1),(287,1)}
       168:{2,4,5,7}:{(125,1),(126,1),(129,1),(208,1),(212,1),(341,1)}
       169:{2,3,5}:{(127,1),(194,1),(213,1)}
       170:{2,5,6}:{(128,1),(131,1),(215,1)}
       171:{1,3,5,7}:{(128,1),(129,1),(132,1),(196,1),(212,1),(215,1),(299,1),(391,1)}
       172:{2,3,6}:{(130,1),(131,1),(197,1)}
       173:{2,4,6,7}:{(131,1),(132,1),(215,1),(216,1),(292,1),(300,1),(346,1)}
       174:{3,5,6,7}:{(133,1),(136,1),(217,1),(331,1),(377,1)}
       175:{2,4,5,6}:{(134,1),(135,1),(220,1),(221,1),(259,1)}
       176:{3,4,5,7}:{(134,1),(136,1),(217,1),(221,1),(334,1),(377,1)}
       177:{2,3,4,6}:{(137,1),(147,1),(222,1),(225,1),(308,1)}
       178:{1,3,5,6}:{(135,1),(139,1),(149,1),(220,1),(223,1),(224,1),(306,1),(388,1)}
       179:{2,3,5,7}:{(135,1),(136,1),(140,1),(150,1),(221,1),(224,1),(377,1),(390,1)}
       180:{2,3,5,7}:{(137,1),(138,1),(151,1),(222,1),(225,1),(247,1),(329,1)}
       181:{2,4,6}:{(138,1),(139,1),(223,1),(225,1)}
       182:{1,3,4,6,7}:{(139,1),(140,1),(153,1),(224,1),(226,1),(244,1),(249,1),(301,1),(313,1),(326,1),(362,1),(365,1),(389,1)}
       183:{1,2,4,7}:{(141,1),(144,1),(228,1),(326,1),(376,1)}
       184:{1,3,4,6,7}:{(143,1),(146,1),(164,1),(217,1),(230,1),(252,1),(301,1),(313,1),(331,1),(362,1)}
       185:{1,3,4,6,7}:{(142,1),(147,1),(165,1),(218,1),(228,1),(231,1),(244,1),(310,1),(315,1),(317,1),(326,1),(367,1),(389,1)}
       186:{1,2,5,7}:{(142,1),(148,1),(231,1),(232,1),(390,1)}
       187:{2,5,6,7}:{(143,1),(150,1),(230,1),(233,1),(390,1)}
       188:{1,2,3,6}:{(154,1),(227,1),(234,1),(327,1)}
       189:{2,3,5,6}:{(145,1),(156,1),(236,1),(237,1),(257,1),(306,1)}
       190:{1,3,4,6}:{(144,1),(157,1),(228,1),(235,1),(238,1),(250,1),(315,1)}
       191:{1,2,4,5}:{(144,1),(148,1),(238,1),(241,1),(321,1)}
       192:{1,4,5,6}:{(145,1),(149,1),(159,1),(236,1),(240,1),(374,1),(388,1)}
       193:{2,4,5,7}:{(145,1),(146,1),(150,1),(160,1),(230,1),(237,1),(240,1),(323,1),(376,1),(390,1)}
       194:{1,3,5}:{(147,1),(148,1),(169,1),(222,1),(241,1)}
       195:{1,2,5,6}:{(148,1),(149,1),(152,1),(170,1),(223,1),(242,1),(243,1),(388,1)}
       196:{1,5,7}:{(149,1),(150,1),(153,1)}
       197:{1,3,6}:{(151,1),(152,1),(172,1),(225,1)}
       198:{1,2,4,6,7}:{(152,1),(153,1),(163,1),(173,1),(226,1),(243,1),(244,1),(251,1),(326,1),(328,1),(368,1),(389,1)}
       199:{1,2,4}:{(154,1),(245,1)}
       200:{2,3,4}:{(157,1),(245,1),(247,1)}
       201:{2,4,5}:{(155,1),(247,1),(248,1)}
       202:{1,3,4,6}:{(155,1),(156,1),(159,1),(236,1),(248,1),(249,1),(250,1),(327,1),(374,1)}
       203:{2,3,4,7}:{(156,1),(160,1),(237,1),(249,1),(329,1),(334,1),(365,1),(376,1)}
       204:{1,3,5}:{(157,1),(158,1),(247,1),(250,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(161,1),(248,1),(250,1),(251,1)}
       206:{1,4,7}:{(159,1),(160,1),(162,1)}
       207:{1,2,5,7}:{(161,1),(162,1),(163,1),(251,1),(323,1)}
       208:{2,4,6,7}:{(164,1),(166,1),(168,1),(252,1)}
       209:{2,3,5,7}:{(165,1),(169,1),(231,1),(253,1),(254,1),(377,1),(390,1)}
       210:{1,3,5,6,7}:{(166,1),(171,1),(233,1),(252,1),(255,1),(313,1),(331,1)}
       211:{2,4,5,6}:{(167,1),(170,1),(257,1),(258,1),(259,1)}
       212:{1,4,5,7}:{(167,1),(168,1),(171,1),(252,1),(258,1),(326,1)}
       213:{2,4,5}:{(169,1),(241,1),(256,1),(259,1)}
       214:{2,3,5,6}:{(169,1),(170,1),(172,1),(242,1),(257,1),(259,1),(260,1)}
       215:{2,5,7}:{(170,1),(171,1),(173,1)}
       216:{2,3,6,7}:{(172,1),(173,1),(244,1),(260,1),(329,1),(331,1)}
       217:{3,4,6,7}:{(174,1),(176,1),(261,1)}
       218:{2,3,4,6,7}:{(177,1),(185,1),(262,1),(269,1),(271,1),(337,1),(341,1),(345,1),(379,1),(384,1)}
       219:{2,3,5,6,7}:{(174,1),(179,1),(187,1),(261,1),(263,1),(272,1)}
       220:{1,4,5,6}:{(175,1),(178,1),(264,1),(265,1),(287,1)}
       221:{2,4,5,7}:{(175,1),(176,1),(179,1),(261,1),(265,1),(300,1)}
       222:{2,3,5}:{(177,1),(194,1),(266,1)}
       223:{2,5,6}:{(178,1),(181,1),(268,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(182,1),(196,1),(265,1),(268,1),(340,1),(391,1)}
       225:{2,3,6}:{(180,1),(181,1),(197,1)}
       226:{2,4,6,7}:{(181,1),(182,1),(268,1),(269,1),(292,1),(341,1),(346,1)}
       227:{1,2,3,7}:{(188,1),(270,1),(357,1)}
       228:{1,3,4,7}:{(183,1),(190,1),(271,1),(273,1),(293,1)}
       229:{1,2,4,5,7}:{(183,1),(186,1),(191,1),(273,1),(274,1),(276,1),(344,1)}
       230:{2,4,6,7}:{(184,1),(187,1),(193,1),(272,1),(275,1),(346,1)}
       231:{1,3,5,7}:{(185,1),(186,1),(194,1),(209,1),(262,1),(276,1),(277,1),(391,1)}
       232:{1,2,5,6}:{(186,1),(274,1),(277,1),(343,1),(383,1)}
       233:{1,5,6,7}:{(187,1),(196,1),(275,1),(391,1)}
       234:{1,2,4,6}:{(188,1),(199,1),(270,1),(279,1),(280,1),(343,1)}
       235:{2,3,4,6}:{(190,1),(200,1),(271,1),(279,1),(281,1),(291,1),(345,1),(354,1)}
       236:{1,3,5,6}:{(189,1),(192,1),(202,1),(282,1),(283,1)}
       237:{2,3,5,7}:{(189,1),(193,1),(203,1),(272,1),(283,1),(299,1),(340,1)}
       238:{1,3,5}:{(190,1),(191,1),(281,1)}
       239:{1,2,4,5,6}:{(191,1),(192,1),(195,1),(205,1),(211,1),(264,1),(274,1),(282,1),(285,1),(286,1),(287,1),(349,1),(354,1),(383,1)}
       240:{1,4,5,7}:{(192,1),(193,1),(196,1),(206,1),(275,1),(283,1),(386,1),(391,1)}
       241:{1,4,5}:{(194,1),(213,1),(266,1),(287,1)}
       242:{1,3,5,6}:{(194,1),(195,1),(197,1),(214,1),(267,1),(287,1),(288,1)}
       243:{1,2,5,7}:{(195,1),(196,1),(198,1),(215,1),(268,1),(288,1),(391,1)}
       244:{1,3,6,7}:{(197,1),(198,1),(216,1),(269,1),(288,1),(293,1),(357,1)}
       245:{1,3,4}:{(199,1),(200,1),(289,1)}
       246:{1,2,4,5}:{(199,1),(201,1),(280,1),(289,1),(290,1),(351,1)}
       247:{2,3,5}:{(200,1),(201,1),(204,1),(289,1),(291,1)}
       248:{2,4,6}:{(201,1),(202,1),(282,1),(291,1),(292,1)}
       249:{1,3,4,7}:{(202,1),(203,1),(206,1),(283,1),(292,1),(293,1),(357,1),(386,1)}
       250:{1,3,6}:{(204,1),(205,1),(291,1),(293,1)}
       251:{1,2,4,7}:{(205,1),(206,1),(207,1),(292,1),(293,1)}
       252:{1,4,6,7}:{(208,1),(210,1),(212,1),(295,1)}
       253:{2,4,5,7}:{(209,1),(213,1),(276,1),(294,1),(296,1),(300,1)}
       254:{2,3,5,6}:{(209,1),(277,1),(296,1),(345,1),(358,1),(383,1)}
       255:{2,5,6,7}:{(210,1),(215,1),(295,1),(346,1)}
       256:{3,4,5}:{(213,1),(298,1)}
       257:{3,5,6}:{(211,1),(298,1),(299,1)}
       258:{2,4,5,7}:{(211,1),(212,1),(215,1),(295,1),(299,1),(300,1)}
       259:{2,4,6}:{(213,1),(214,1),(287,1),(298,1),(300,1)}
       260:{2,3,5,7}:{(214,1),(215,1),(216,1),(288,1),(299,1),(300,1)}
       261:{2,4,6,7}:{(217,1),(219,1),(221,1),(301,1)}
       262:{2,3,5,7}:{(218,1),(222,1),(231,1),(302,1),(303,1),(387,1),(390,1)}
       263:{1,3,5,6,7}:{(219,1),(224,1),(233,1),(301,1),(304,1),(313,1),(362,1)}
       264:{2,4,5,6}:{(220,1),(223,1),(306,1),(307,1),(308,1)}
       265:{1,4,5,7}:{(220,1),(221,1),(224,1),(301,1),(307,1),(326,1)}
       266:{2,4,5}:{(222,1),(241,1),(305,1),(308,1)}
       267:{2,3,5,6}:{(222,1),(223,1),(225,1),(242,1),(306,1),(308,1),(309,1)}
       268:{2,5,7}:{(223,1),(224,1),(226,1)}
       269:{2,3,6,7}:{(225,1),(226,1),(244,1),(309,1),(329,1),(362,1)}
       270:{1,2,4,7}:{(227,1),(234,1),(310,1),(311,1)}
       271:{2,3,4,7}:{(228,1),(235,1),(310,1),(312,1),(329,1),(376,1)}
       272:{2,3,6,7}:{(230,1),(237,1),(313,1),(331,1),(362,1)}
       273:{1,3,5,7}:{(228,1),(229,1),(238,1),(312,1),(315,1)}
       274:{1,2,4,6}:{(229,1),(232,1),(315,1),(317,1),(369,1)}
       275:{1,4,6,7}:{(230,1),(233,1),(240,1),(313,1)}
       276:{1,4,5,7}:{(231,1),(241,1),(253,1),(302,1),(317,1),(326,1)}
       277:{1,3,5,6}:{(231,1),(232,1),(254,1),(303,1),(315,1),(317,1),(367,1),(388,1)}
       278:{1,2,5,6,7}:{(232,1),(233,1),(243,1),(255,1),(304,1),(316,1),(318,1),(368,1),(390,1)}
       279:{1,3,4,6}:{(234,1),(235,1),(245,1),(310,1),(319,1),(327,1),(367,1),(374,1)}
       280:{1,2,5}:{(234,1),(319,1)}
       281:{2,3,5}:{(235,1),(238,1),(319,1),(321,1)}
       282:{2,5,6}:{(236,1),(248,1),(323,1)}
       283:{1,3,5,7}:{(236,1),(237,1),(240,1),(249,1),(313,1),(323,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(256,1),(305,1),(321,1),(324,1)}
       285:{1,3,5,6}:{(238,1),(239,1),(250,1),(257,1),(306,1),(315,1),(322,1),(324,1),(325,1)}
       286:{1,2,4,5,7}:{(239,1),(240,1),(243,1),(251,1),(258,1),(307,1),(316,1),(323,1),(325,1),(326,1),(373,1),(376,1),(390,1)}
       287:{1,4,6}:{(241,1),(242,1),(259,1),(308,1),(326,1)}
       288:{1,3,5,7}:{(242,1),(243,1),(244,1),(260,1),(309,1),(326,1)}
       289:{1,3,5}:{(245,1),(246,1),(247,1),(327,1)}
       290:{1,2,4,6}:{(246,1),(248,1),(320,1),(327,1),(328,1),(374,1)}
       291:{2,3,6}:{(247,1),(248,1),(250,1),(327,1),(329,1)}
       292:{2,4,7}:{(248,1),(249,1),(323,1),(329,1)}
       293:{1,3,7}:{(250,1),(251,1),(329,1)}
       294:{3,4,5,7}:{(253,1),(256,1),(330,1),(334,1),(377,1)}
       295:{2,4,6,7}:{(252,1),(255,1),(258,1),(331,1)}
       296:{2,4,6}:{(253,1),(254,1),(317,1),(330,1)}
       297:{2,3,5,6,7}:{(254,1),(255,1),(260,1),(318,1),(331,1),(333,1),(370,1),(377,1),(390,1)}
       298:{3,4,6}:{(256,1),(257,1),(259,1),(334,1)}
       299:{3,5,7}:{(257,1),(258,1),(331,1),(334,1)}
       300:{2,4,7}:{(259,1),(260,1),(326,1),(334,1)}
       301:{1,4,6,7}:{(261,1),(263,1),(265,1),(336,1)}
       302:{2,4,5,7}:{(262,1),(266,1),(276,1),(335,1),(337,1),(341,1)}
       303:{2,3,5,6}:{(262,1),(277,1),(337,1),(345,1),(378,1),(383,1)}
       304:{2,5,6,7}:{(263,1),(268,1),(336,1),(346,1)}
       305:{3,4,5}:{(266,1),(339,1)}
       306:{3,5,6}:{(264,1),(339,1),(340,1)}
       307:{2,4,5,7}:{(264,1),(265,1),(268,1),(336,1),(340,1),(341,1)}
       308:{2,4,6}:{(266,1),(267,1),(287,1),(339,1),(341,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(269,1),(288,1),(340,1),(341,1)}
       310:{1,3,4,7}:{(270,1),(271,1),(279,1),(342,1),(357,1),(386,1)}
       311:{1,2,5,7}:{(270,1),(280,1),(342,1),(343,1)}
       312:{2,3,5,7}:{(271,1),(273,1),(281,1),(342,1),(344,1),(345,1)}
       313:{1,3,6,7}:{(272,1),(275,1),(283,1),(346,1)}
       314:{1,3,4,5,7}:{(273,1),(276,1),(284,1),(294,1),(335,1),(344,1),(347,1),(356,1),(385,1)}
       315:{1,3,6}:{(273,1),(274,1),(345,1)}
       316:{1,2,4,6,7}:{(274,1),(275,1),(278,1),(286,1),(295,1),(336,1),(346,1),(348,1),(350,1),(384,1)}
       317:{1,4,6}:{(276,1),(277,1),(296,1),(337,1)}
       318:{1,3,5,6,7}:{(277,1),(278,1),(288,1),(297,1),(338,1),(348,1),(350,1),(382,1),(385,1),(391,1)}
       319:{1,3,5}:{(279,1),(280,1),(281,1),(351,1)}
       320:{1,2,5,6}:{(280,1),(282,1),(290,1),(343,1),(352,1),(353,1)}
       321:{2,4,5}:{(281,1),(284,1),(351,1),(354,1)}
       322:{2,3,5,6}:{(281,1),(282,1),(285,1),(291,1),(345,1),(352,1),(354,1),(355,1),(383,1)}
       323:{2,5,7}:{(282,1),(283,1),(292,1),(346,1)}
       324:{1,3,4,6}:{(284,1),(285,1),(287,1),(298,1),(339,1),(354,1),(356,1)}
       325:{1,3,5,7}:{(285,1),(286,1),(293,1),(299,1),(340,1),(348,1),(355,1),(356,1)}
       326:{1,4,7}:{(287,1),(288,1),(300,1),(341,1)}
       327:{1,3,6}:{(289,1),(290,1),(291,1),(357,1)}
       328:{1,2,4,7}:{(290,1),(292,1),(353,1),(357,1),(386,1)}
       329:{2,3,7}:{(291,1),(292,1),(293,1),(357,1)}
       330:{3,4,6}:{(294,1),(296,1),(358,1)}
       331:{3,6,7}:{(295,1),(299,1)}
       332:{2,4,5,6}:{(296,1),(349,1),(358,1),(360,1),(383,1)}
       333:{2,4,6,7}:{(296,1),(297,1),(300,1),(350,1),(359,1),(360,1)}
       334:{3,4,7}:{(298,1),(299,1),(300,1)}
       335:{3,4,5,7}:{(302,1),(305,1),(361,1),(365,1),(387,1)}
       336:{2,4,6,7}:{(301,1),(304,1),(307,1),(362,1)}
       337:{2,4,6}:{(302,1),(303,1),(317,1),(361,1)}
       338:{2,3,5,6,7}:{(303,1),(304,1),(309,1),(318,1),(362,1),(364,1),(370,1),(387,1),(390,1)}
       339:{3,4,6}:{(305,1),(306,1),(308,1),(365,1)}
       340:{3,5,7}:{(306,1),(307,1),(362,1),(365,1)}
       341:{2,4,7}:{(308,1),(309,1),(326,1),(365,1)}
       342:{1,3,5,7}:{(310,1),(311,1),(312,1),(319,1),(366,1),(367,1)}
       343:{1,2,6}:{(311,1),(367,1)}
       344:{2,4,5,7}:{(312,1),(314,1),(321,1),(366,1),(369,1),(376,1),(390,1)}
       345:{2,3,6}:{(312,1),(315,1),(367,1),(369,1)}
       346:{2,6,7}:{(313,1),(323,1)}
       347:{1,3,4,6}:{(314,1),(315,1),(317,1),(330,1),(361,1),(369,1),(371,1)}
       348:{1,3,6,7}:{(315,1),(316,1),(325,1),(331,1),(362,1),(370,1)}
       349:{1,4,5,6}:{(317,1),(332,1),(363,1),(371,1),(373,1),(388,1)}
       350:{1,4,6,7}:{(317,1),(318,1),(326,1),(333,1),(364,1),(373,1)}
       351:{1,4,5}:{(319,1),(321,1),(374,1)}
       352:{1,3,5,6}:{(319,1),(320,1),(322,1),(327,1),(367,1),(374,1),(375,1),(388,1)}
       353:{1,2,5,7}:{(320,1),(323,1),(328,1),(368,1),(375,1)}
       354:{2,4,6}:{(321,1),(322,1),(324,1),(374,1),(376,1)}
       355:{2,3,5,7}:{(322,1),(323,1),(325,1),(329,1),(370,1),(375,1),(376,1),(390,1)}
       356:{1,3,4,7}:{(324,1),(325,1),(326,1),(334,1),(365,1),(376,1)}
       357:{1,3,7}:{(327,1),(328,1),(329,1)}
       358:{3,5,6}:{(330,1),(332,1),(377,1)}
       359:{3,4,6,7}:{(330,1),(331,1),(333,1),(334,1),(377,1)}
       360:{2,4,5,7}:{(332,1),(333,1),(373,1),(377,1),(390,1)}
       361:{3,4,6}:{(335,1),(337,1),(378,1)}
       362:{3,6,7}:{(336,1),(340,1)}
       363:{2,4,5,6}:{(337,1),(349,1),(378,1),(380,1),(383,1)}
       364:{2,4,6,7}:{(337,1),(338,1),(341,1),(350,1),(379,1),(380,1)}
       365:{3,4,7}:{(339,1),(340,1),(341,1)}
       366:{1,4,5,7}:{(342,1),(344,1),(351,1),(381,1),(386,1),(391,1)}
       367:{1,3,6}:{(342,1),(343,1),(345,1),(381,1)}
       368:{1,2,6,7}:{(343,1),(346,1),(353,1),(382,1)}
       369:{2,4,6}:{(344,1),(345,1),(347,1),(381,1),(383,1)}
       370:{2,3,6,7}:{(345,1),(346,1),(348,1),(355,1),(382,1),(384,1)}
       371:{1,3,5,6}:{(347,1),(349,1),(358,1),(378,1),(383,1),(385,1)}
       372:{1,3,4,6,7}:{(347,1),(348,1),(350,1),(356,1),(359,1),(379,1),(384,1),(385,1)}
       373:{1,4,5,7}:{(349,1),(350,1),(360,1),(380,1),(385,1),(391,1)}
       374:{1,4,6}:{(351,1),(352,1),(354,1),(386,1)}
       375:{1,3,5,7}:{(352,1),(353,1),(355,1),(357,1),(382,1),(386,1),(391,1)}
       376:{2,4,7}:{(354,1),(355,1),(356,1),(386,1)}
       377:{3,5,7}:{(358,1),(359,1),(360,1)}
       378:{3,5,6}:{(361,1),(363,1),(387,1)}
       379:{3,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(387,1)}
       380:{2,4,5,7}:{(363,1),(364,1),(373,1),(387,1),(390,1)}
       381:{1,4,6}:{(366,1),(367,1),(369,1),(388,1)}
       382:{1,3,6,7}:{(367,1),(368,1),(370,1),(375,1),(389,1)}
       383:{2,5,6}:{(369,1),(371,1),(388,1),(390,1)}
       384:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(389,1),(390,1)}
       385:{1,3,5,7}:{(371,1),(372,1),(373,1),(377,1),(387,1),(390,1)}
       386:{1,4,7}:{(374,1),(375,1),(376,1)}
       387:{3,5,7}:{(378,1),(379,1),(380,1)}
       388:{1,5,6}:{(381,1),(383,1),(391,1)}
       389:{1,4,6,7}:{(381,1),(382,1),(384,1),(386,1),(391,1)}
       390:{2,5,7}:{(383,1),(384,1),(385,1),(391,1)}
       391:{1,5,7}:{(388,1),(389,1),(390,1)}

2288 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2289 :   0:{1,2,3,6,7}:{(1,1),(2,1),(38,1),(81,1),(84,1),(147,1),(222,1),(344,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(23,1),(60,1),(109,1),(113,1),(186,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(102,1),(260,1),(315,1),(317,1)}
         3:{2,3,4,6,7}:{(5,1),(8,1),(25,1),(27,1),(58,1),(63,1),(109,1),(240,1),(241,1),(312,1)}
         4:{1,2,3,5,6}:{(2,1),(10,1),(12,1),(32,1),(38,1),(73,1),(147,1),(205,1),(221,1),(225,1),(280,1),(282,1)}
         5:{1,3,4,6,7}:{(1,1),(3,1),(9,1),(11,1),(14,1),(35,1),(38,1),(40,1),(82,1),(143,1),(222,1),(223,1),(298,1)}
         6:{1,2,5,7}:{(1,1),(11,1),(12,1),(141,1),(225,1)}
         7:{1,2,4,7}:{(2,1),(10,1),(14,1),(134,1),(298,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(15,1),(16,1),(87,1),(141,1),(279,1)}
         9:{2,3,4,6,7}:{(5,1),(17,1),(25,1),(46,1),(58,1),(94,1),(109,1),(193,1),(194,1),(269,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(18,1),(19,1),(100,1),(245,1),(261,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(8,1),(17,1),(20,1),(21,1),(180,1),(263,1)}
        12:{1,2,5,6}:{(6,1),(20,1),(23,1),(108,1),(113,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(18,1),(21,1),(23,1),(24,1),(56,1)}
        14:{1,3,4,7}:{(7,1),(19,1),(24,1),(25,1),(317,1)}
        15:{2,3,5,6}:{(8,1),(20,1),(27,1),(58,1),(62,1),(108,1)}
        16:{2,4,5,7}:{(8,1),(21,1),(27,1),(28,1),(312,1),(313,1)}
        17:{2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(125,1),(141,1),(233,1)}
        18:{1,2,4,5}:{(10,1),(32,1),(71,1),(225,1),(299,1)}
        19:{1,3,4,6}:{(10,1),(14,1),(32,1),(33,1),(38,1),(282,1),(283,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(15,1),(29,1),(35,1),(38,1),(82,1),(142,1)}
        21:{1,4,5,7}:{(11,1),(16,1),(30,1),(35,1),(298,1),(299,1)}
        22:{1,2,5,6,7}:{(12,1),(34,1),(37,1),(141,1),(146,1),(219,1),(220,1),(229,1),(275,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(35,1),(38,1),(79,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(38,1),(39,1)}
        25:{2,3,4,7}:{(14,1),(33,1),(39,1),(40,1),(134,1),(289,1)}
        26:{2,3,5,6,7}:{(15,1),(34,1),(42,1),(81,1),(87,1),(141,1),(275,1),(276,1),(338,1)}
        27:{2,4,6}:{(15,1),(16,1),(35,1),(43,1)}
        28:{3,4,5,7}:{(16,1),(43,1),(87,1),(339,1),(340,1)}
        29:{2,3,5,6}:{(17,1),(20,1),(46,1),(58,1),(93,1),(108,1)}
        30:{2,4,5,7}:{(17,1),(21,1),(46,1),(47,1),(269,1),(270,1)}
        31:{1,2,4,5,6}:{(18,1),(23,1),(49,1),(50,1),(53,1),(100,1),(108,1),(172,1),(181,1),(189,1),(236,1),(242,1),(248,1),(261,1)}
        32:{1,3,5}:{(18,1),(19,1),(51,1)}
        33:{2,3,4,6}:{(19,1),(25,1),(51,1),(52,1),(58,1),(100,1),(250,1),(251,1)}
        34:{1,3,5,6,7}:{(20,1),(22,1),(26,1),(45,1),(54,1),(57,1),(107,1),(112,1),(180,1),(260,1)}
        35:{1,4,6}:{(20,1),(21,1),(27,1),(46,1)}
        36:{1,3,4,5,7}:{(21,1),(24,1),(28,1),(47,1),(48,1),(55,1),(56,1),(99,1),(107,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(49,1),(54,1),(57,1),(109,1),(252,1),(265,1),(308,1),(321,1)}
        38:{1,3,6}:{(23,1),(24,1),(58,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(51,1),(56,1),(58,1),(59,1)}
        40:{1,3,4,7}:{(25,1),(52,1),(59,1),(60,1),(173,1),(255,1)}
        41:{2,4,5,6}:{(27,1),(53,1),(61,1),(62,1),(108,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(54,1),(61,1),(63,1),(312,1)}
        43:{3,4,6}:{(27,1),(28,1),(62,1)}
        44:{2,3,4,5,7}:{(28,1),(56,1),(64,1),(65,1),(97,1),(118,1),(165,1),(167,1),(312,1),(313,1),(363,1),(372,1)}
        45:{2,3,5,6,7}:{(29,1),(34,1),(67,1),(81,1),(125,1),(141,1),(229,1),(230,1),(302,1)}
        46:{2,4,6}:{(29,1),(30,1),(35,1),(68,1)}
        47:{3,4,5,7}:{(30,1),(68,1),(125,1),(303,1),(304,1)}
        48:{1,3,4,5}:{(32,1),(70,1),(71,1),(299,1),(304,1),(340,1)}
        49:{1,2,4,5,7}:{(31,1),(37,1),(72,1),(76,1),(134,1),(141,1),(212,1),(220,1),(227,1),(273,1),(281,1),(287,1),(298,1)}
        50:{1,3,5,6}:{(31,1),(32,1),(38,1),(70,1),(72,1),(73,1),(228,1),(274,1),(282,1)}
        51:{2,3,5}:{(32,1),(33,1),(71,1),(74,1)}
        52:{1,3,4,6}:{(33,1),(40,1),(74,1),(75,1),(82,1),(135,1),(215,1),(216,1)}
        53:{1,4,5,6}:{(35,1),(41,1),(66,1),(76,1),(77,1),(142,1)}
        54:{1,4,6,7}:{(34,1),(35,1),(42,1),(67,1),(76,1),(298,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(38,1),(43,1),(68,1),(77,1),(79,1)}
        56:{2,4,5,7}:{(36,1),(39,1),(71,1),(79,1),(80,1),(134,1),(141,1)}
        57:{1,3,6,7}:{(37,1),(38,1),(72,1),(81,1),(302,1),(338,1)}
        58:{2,3,6}:{(38,1),(39,1),(79,1),(82,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(74,1),(80,1),(82,1),(83,1)}
        60:{1,2,4,7}:{(40,1),(75,1),(83,1),(84,1)}
        61:{2,4,5,7}:{(41,1),(42,1),(76,1),(87,1),(141,1)}
        62:{3,5,6}:{(41,1),(43,1),(87,1)}
        63:{3,4,6,7}:{(42,1),(43,1),(87,1),(338,1),(339,1)}
        64:{2,3,4,6}:{(43,1),(44,1),(79,1),(88,1),(90,1),(202,1),(277,1),(379,1),(385,1)}
        65:{1,3,4,5,7}:{(44,1),(80,1),(90,1),(91,1),(131,1),(145,1),(153,1),(208,1),(298,1),(299,1),(303,1),(304,1),(382,1)}
        66:{2,4,5,6}:{(46,1),(53,1),(92,1),(93,1),(108,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(54,1),(92,1),(94,1),(269,1)}
        68:{3,4,6}:{(46,1),(47,1),(93,1)}
        69:{2,3,4,5,7}:{(47,1),(56,1),(95,1),(96,1),(97,1),(122,1),(161,1),(167,1),(269,1),(270,1),(335,1),(372,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(99,1),(100,1),(261,1),(267,1),(310,1)}
        71:{2,4,5}:{(48,1),(51,1),(100,1),(101,1)}
        72:{1,3,5,7}:{(49,1),(50,1),(57,1),(99,1),(102,1),(266,1),(309,1),(317,1)}
        73:{2,3,5,6}:{(50,1),(51,1),(58,1),(100,1),(102,1),(103,1),(108,1),(248,1),(250,1)}
        74:{1,3,5}:{(51,1),(52,1),(101,1),(104,1)}
        75:{1,2,4,6}:{(52,1),(60,1),(104,1),(105,1),(113,1),(178,1)}
        76:{1,4,5,7}:{(53,1),(54,1),(61,1),(92,1),(107,1),(180,1)}
        77:{1,3,5,6}:{(53,1),(55,1),(62,1),(93,1),(107,1),(108,1)}
        78:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(63,1),(94,1),(99,1),(107,1),(109,1)}
        79:{2,4,6}:{(55,1),(56,1),(58,1),(108,1),(110,1)}
        80:{1,4,5,7}:{(56,1),(59,1),(101,1),(110,1),(173,1),(180,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(102,1),(109,1),(112,1),(321,1)}
        82:{1,3,6}:{(58,1),(59,1),(110,1),(113,1)}
        83:{1,2,5,7}:{(59,1),(60,1),(104,1),(113,1)}
        84:{1,2,3,7}:{(60,1),(105,1),(255,1)}
        85:{3,4,5,6}:{(62,1),(115,1),(116,1),(310,1),(387,1)}
        86:{2,4,5,6,7}:{(61,1),(106,1),(117,1),(179,1),(187,1),(308,1),(364,1)}
        87:{3,5,7}:{(61,1),(62,1),(63,1)}
        88:{2,3,5,6}:{(62,1),(64,1),(108,1),(116,1),(118,1),(119,1),(387,1),(390,1)}
        89:{2,3,4,6,7}:{(63,1),(64,1),(109,1),(118,1),(120,1),(167,1),(187,1),(240,1),(246,1),(312,1),(362,1),(371,1)}
        90:{1,3,4,6}:{(64,1),(65,1),(110,1),(119,1),(121,1),(183,1),(261,1),(267,1),(389,1)}
        91:{2,4,5,7}:{(65,1),(121,1),(122,1),(169,1),(191,1),(249,1),(269,1),(270,1)}
        92:{2,4,5,7}:{(66,1),(67,1),(76,1),(125,1),(141,1)}
        93:{3,5,6}:{(66,1),(68,1),(125,1)}
        94:{3,4,6,7}:{(67,1),(68,1),(125,1),(302,1),(303,1)}
        95:{2,3,4,6}:{(68,1),(69,1),(79,1),(126,1),(128,1),(156,1),(231,1),(360,1),(385,1)}
        96:{1,3,4,5,7}:{(69,1),(80,1),(128,1),(129,1),(131,1),(145,1),(199,1),(208,1),(298,1),(299,1),(339,1),(340,1),(382,1)}
        97:{2,3,4,5}:{(71,1),(130,1),(131,1),(210,1),(304,1),(340,1),(352,1)}
        98:{1,3,4,5,6}:{(70,1),(77,1),(85,1),(123,1),(132,1),(133,1),(151,1),(197,1),(207,1),(228,1),(274,1),(293,1),(386,1)}
        99:{1,3,4,7}:{(70,1),(72,1),(134,1),(298,1),(303,1),(339,1)}
       100:{2,4,6}:{(70,1),(71,1),(73,1),(134,1),(135,1)}
       101:{1,4,5}:{(71,1),(74,1),(135,1)}
       102:{2,3,5,7}:{(72,1),(73,1),(81,1),(134,1),(137,1),(141,1),(287,1),(289,1)}
       103:{1,3,5,6}:{(73,1),(74,1),(82,1),(135,1),(137,1),(138,1),(142,1),(215,1)}
       104:{1,2,5}:{(74,1),(75,1)}
       105:{1,2,3,6}:{(75,1),(84,1),(139,1),(215,1)}
       106:{1,4,5,6,7}:{(76,1),(86,1),(124,1),(140,1),(219,1),(226,1),(272,1),(357,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(78,1),(87,1),(125,1),(141,1)}
       108:{2,5,6}:{(77,1),(79,1),(141,1),(142,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(81,1),(134,1),(141,1),(143,1)}
       110:{1,4,6}:{(79,1),(80,1),(82,1),(142,1)}
       111:{1,2,4,5,7}:{(80,1),(83,1),(91,1),(129,1),(136,1),(144,1),(145,1),(148,1),(204,1),(214,1),(220,1),(225,1),(281,1),(298,1),(299,1),(349,1),(382,1)}
       112:{1,3,6,7}:{(81,1),(82,1),(137,1),(143,1),(146,1)}
       113:{1,2,6}:{(82,1),(83,1)}
       114:{1,2,3,5,7}:{(83,1),(84,1),(139,1),(145,1),(147,1),(148,1),(205,1),(225,1),(284,1),(349,1)}
       115:{3,4,5,7}:{(85,1),(87,1),(149,1),(150,1),(339,1),(378,1)}
       116:{2,4,5,6}:{(85,1),(88,1),(150,1),(151,1),(277,1)}
       117:{3,5,6,7}:{(86,1),(87,1),(149,1),(338,1),(378,1)}
       118:{2,3,5,7}:{(87,1),(88,1),(89,1),(141,1),(150,1),(153,1),(378,1),(384,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(142,1),(151,1),(153,1),(154,1),(228,1),(391,1)}
       120:{1,3,4,6,7}:{(89,1),(90,1),(143,1),(153,1),(155,1),(208,1),(222,1),(226,1),(286,1),(298,1),(302,1),(303,1),(381,1)}
       121:{2,4,6}:{(90,1),(91,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(91,1),(145,1),(156,1),(157,1),(210,1),(233,1),(289,1)}
       123:{3,4,5,6}:{(93,1),(158,1),(159,1),(267,1),(377,1)}
       124:{2,4,5,6,7}:{(92,1),(106,1),(160,1),(179,1),(234,1),(265,1),(336,1)}
       125:{3,5,7}:{(92,1),(93,1),(94,1)}
       126:{2,3,5,6}:{(93,1),(95,1),(108,1),(159,1),(161,1),(162,1),(377,1),(390,1)}
       127:{2,3,4,6,7}:{(94,1),(95,1),(109,1),(161,1),(163,1),(167,1),(193,1),(234,1),(246,1),(269,1),(334,1),(371,1)}
       128:{1,3,4,6}:{(95,1),(96,1),(110,1),(162,1),(164,1),(183,1),(261,1),(310,1),(389,1)}
       129:{2,4,5,7}:{(96,1),(164,1),(165,1),(169,1),(238,1),(249,1),(312,1),(313,1)}
       130:{2,3,4,6}:{(97,1),(100,1),(166,1),(167,1),(168,1),(250,1),(267,1),(310,1),(323,1)}
       131:{1,3,4,5}:{(97,1),(101,1),(168,1),(169,1),(175,1),(243,1),(368,1)}
       132:{1,3,4,5,7}:{(98,1),(99,1),(107,1),(115,1),(158,1),(170,1),(171,1),(188,1),(235,1),(247,1),(266,1),(309,1),(327,1),(374,1)}
       133:{2,4,5,6}:{(98,1),(100,1),(108,1),(166,1),(171,1),(172,1),(248,1),(323,1),(390,1)}
       134:{2,4,7}:{(99,1),(100,1),(102,1),(173,1)}
       135:{1,4,6}:{(100,1),(101,1),(103,1),(173,1)}
       136:{1,2,4,5}:{(101,1),(104,1),(169,1),(174,1),(175,1),(178,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(112,1),(173,1),(176,1),(180,1),(255,1)}
       138:{1,2,5,6}:{(103,1),(104,1),(113,1),(174,1),(176,1),(248,1)}
       139:{1,2,3,5}:{(104,1),(105,1),(175,1),(178,1)}
       140:{1,3,5,6,7}:{(106,1),(107,1),(117,1),(160,1),(170,1),(179,1),(374,1)}
       141:{2,5,7}:{(107,1),(108,1),(109,1),(180,1)}
       142:{1,5,6}:{(108,1),(110,1),(180,1)}
       143:{1,4,6,7}:{(109,1),(110,1),(112,1),(173,1),(180,1)}
       144:{1,2,4,6}:{(110,1),(111,1),(113,1),(121,1),(164,1),(181,1),(183,1),(261,1),(370,1),(389,1)}
       145:{1,3,5,7}:{(111,1),(122,1),(165,1),(175,1),(183,1),(184,1),(243,1),(255,1),(263,1),(317,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(176,1),(321,1)}
       147:{1,2,3,6}:{(113,1),(114,1),(183,1),(186,1),(370,1)}
       148:{1,2,4,7}:{(114,1),(178,1),(184,1),(186,1),(245,1)}
       149:{3,4,6,7}:{(115,1),(117,1),(187,1)}
       150:{2,4,5,7}:{(115,1),(116,1),(118,1),(187,1),(188,1),(312,1)}
       151:{1,4,5,6}:{(116,1),(119,1),(188,1),(189,1),(261,1)}
       152:{2,3,5,6,7}:{(117,1),(118,1),(179,1),(187,1),(190,1),(246,1)}
       153:{1,3,5,7}:{(118,1),(119,1),(120,1),(180,1),(188,1),(191,1),(266,1),(388,1)}
       154:{2,5,6}:{(119,1),(121,1),(191,1)}
       155:{2,4,6,7}:{(120,1),(121,1),(191,1),(193,1),(249,1),(269,1),(321,1)}
       156:{2,3,6}:{(121,1),(122,1),(183,1)}
       157:{2,3,4,7}:{(122,1),(184,1),(194,1),(251,1),(269,1)}
       158:{3,4,5,7}:{(123,1),(125,1),(195,1),(196,1),(303,1),(359,1)}
       159:{2,4,5,6}:{(123,1),(126,1),(196,1),(197,1),(231,1)}
       160:{3,5,6,7}:{(124,1),(125,1),(195,1),(302,1),(359,1)}
       161:{2,3,5,7}:{(125,1),(126,1),(127,1),(141,1),(196,1),(199,1),(359,1),(384,1)}
       162:{1,3,5,6}:{(126,1),(128,1),(142,1),(197,1),(199,1),(200,1),(274,1),(391,1)}
       163:{1,3,4,6,7}:{(127,1),(128,1),(143,1),(199,1),(201,1),(208,1),(222,1),(272,1),(286,1),(298,1),(338,1),(339,1),(381,1)}
       164:{2,4,6}:{(128,1),(129,1),(200,1),(202,1)}
       165:{2,3,5,7}:{(129,1),(145,1),(202,1),(203,1),(210,1),(279,1),(289,1)}
       166:{2,3,5,6}:{(130,1),(133,1),(206,1),(207,1),(228,1),(274,1)}
       167:{2,3,4,7}:{(130,1),(134,1),(206,1),(208,1),(289,1),(303,1),(339,1),(351,1)}
       168:{1,3,4,6}:{(130,1),(131,1),(135,1),(207,1),(208,1),(209,1),(215,1),(282,1),(346,1)}
       169:{2,4,5}:{(131,1),(209,1),(210,1)}
       170:{1,3,4,6,7}:{(132,1),(140,1),(149,1),(195,1),(211,1),(226,1),(272,1),(286,1),(302,1),(338,1)}
       171:{2,4,5,7}:{(132,1),(133,1),(134,1),(141,1),(206,1),(211,1),(212,1),(287,1),(351,1),(384,1)}
       172:{1,4,5,6}:{(133,1),(135,1),(142,1),(207,1),(212,1),(346,1),(391,1)}
       173:{1,4,7}:{(134,1),(135,1),(137,1)}
       174:{1,2,4,6}:{(135,1),(136,1),(138,1),(209,1),(214,1),(215,1)}
       175:{1,3,5}:{(136,1),(210,1),(215,1),(216,1)}
       176:{1,2,5,7}:{(137,1),(138,1),(146,1),(214,1),(287,1)}
       177:{1,2,3,5,6}:{(138,1),(139,1),(147,1),(215,1),(217,1),(218,1),(221,1),(225,1),(288,1),(295,1),(301,1),(356,1)}
       178:{1,2,4}:{(139,1),(216,1)}
       179:{2,5,6,7}:{(140,1),(141,1),(211,1),(219,1),(384,1)}
       180:{1,5,7}:{(141,1),(142,1),(143,1)}
       181:{1,2,5,6}:{(142,1),(144,1),(154,1),(200,1),(220,1),(221,1),(225,1),(391,1)}
       182:{1,2,4,6,7}:{(143,1),(144,1),(146,1),(155,1),(201,1),(214,1),(220,1),(222,1),(281,1),(298,1),(344,1),(381,1)}
       183:{1,3,6}:{(144,1),(145,1),(156,1),(202,1)}
       184:{1,3,4,7}:{(145,1),(148,1),(157,1),(203,1),(216,1),(223,1),(283,1),(298,1)}
       185:{1,2,3,6,7}:{(146,1),(147,1),(217,1),(222,1),(224,1),(284,1),(350,1),(356,1)}
       186:{1,2,4,6}:{(147,1),(148,1),(223,1),(225,1)}
       187:{2,4,6,7}:{(149,1),(150,1),(152,1),(226,1)}
       188:{1,4,5,7}:{(150,1),(151,1),(153,1),(226,1),(227,1),(298,1)}
       189:{2,4,5,6}:{(151,1),(154,1),(227,1),(228,1),(231,1)}
       190:{1,3,5,6,7}:{(152,1),(153,1),(219,1),(226,1),(229,1),(286,1),(302,1)}
       191:{2,5,7}:{(153,1),(154,1),(155,1)}
       192:{2,3,5,6}:{(154,1),(156,1),(221,1),(228,1),(230,1),(231,1),(233,1)}
       193:{2,3,6,7}:{(155,1),(156,1),(222,1),(230,1),(289,1),(302,1)}
       194:{2,3,4,6}:{(156,1),(157,1),(223,1),(231,1),(233,1)}
       195:{3,4,6,7}:{(158,1),(160,1),(234,1)}
       196:{2,4,5,7}:{(158,1),(159,1),(161,1),(234,1),(235,1),(269,1)}
       197:{1,4,5,6}:{(159,1),(162,1),(235,1),(236,1),(261,1)}
       198:{2,3,5,6,7}:{(160,1),(161,1),(179,1),(234,1),(237,1),(246,1)}
       199:{1,3,5,7}:{(161,1),(162,1),(163,1),(180,1),(235,1),(238,1),(309,1),(388,1)}
       200:{2,5,6}:{(162,1),(164,1),(238,1)}
       201:{2,4,6,7}:{(163,1),(164,1),(238,1),(240,1),(249,1),(312,1),(321,1)}
       202:{2,3,6}:{(164,1),(165,1),(183,1)}
       203:{2,3,4,7}:{(165,1),(184,1),(241,1),(251,1),(312,1)}
       204:{1,2,4,5}:{(169,1),(242,1),(243,1),(245,1),(320,1),(368,1)}
       205:{1,2,3,5}:{(243,1),(244,1),(245,1),(320,1)}
       206:{2,3,5,7}:{(166,1),(167,1),(171,1),(246,1),(247,1),(266,1),(309,1)}
       207:{1,3,5,6}:{(166,1),(168,1),(172,1),(247,1),(248,1)}
       208:{1,3,4,7}:{(167,1),(168,1),(173,1),(247,1),(249,1),(255,1),(317,1),(367,1)}
       209:{2,4,6}:{(168,1),(169,1),(248,1),(249,1),(250,1)}
       210:{2,3,5}:{(169,1),(175,1),(243,1),(250,1),(251,1)}
       211:{2,4,6,7}:{(170,1),(171,1),(179,1),(246,1),(252,1),(321,1)}
       212:{1,4,5,7}:{(171,1),(172,1),(173,1),(180,1),(247,1),(252,1),(367,1),(388,1)}
       213:{1,2,4,5,6}:{(172,1),(174,1),(181,1),(189,1),(236,1),(248,1),(253,1),(254,1),(258,1),(261,1),(323,1),(330,1),(376,1),(390,1)}
       214:{1,2,4,7}:{(173,1),(174,1),(176,1),(249,1),(255,1)}
       215:{1,3,6}:{(174,1),(175,1),(250,1),(255,1)}
       216:{1,3,4}:{(175,1),(178,1),(251,1)}
       217:{1,2,3,5,7}:{(176,1),(177,1),(185,1),(255,1),(257,1),(260,1),(264,1),(322,1),(329,1)}
       218:{1,2,4,6}:{(177,1),(178,1),(256,1),(257,1),(258,1),(261,1),(323,1)}
       219:{1,5,6,7}:{(179,1),(180,1),(252,1),(388,1)}
       220:{1,2,5,7}:{(180,1),(181,1),(182,1),(191,1),(238,1),(260,1),(388,1)}
       221:{1,3,5,6}:{(181,1),(183,1),(192,1),(239,1),(260,1),(261,1),(263,1)}
       222:{1,3,6,7}:{(182,1),(183,1),(193,1),(240,1),(255,1),(260,1),(317,1)}
       223:{1,3,4,6}:{(183,1),(184,1),(186,1),(194,1),(241,1),(261,1),(263,1)}
       224:{1,2,4,6,7}:{(185,1),(186,1),(257,1),(262,1),(264,1),(319,1),(330,1),(370,1),(371,1)}
       225:{1,2,5}:{(186,1),(263,1)}
       226:{1,4,6,7}:{(187,1),(188,1),(190,1),(265,1)}
       227:{2,4,5,7}:{(188,1),(189,1),(191,1),(265,1),(266,1),(269,1)}
       228:{3,5,6}:{(189,1),(266,1),(267,1)}
       229:{2,5,6,7}:{(190,1),(191,1),(265,1),(321,1)}
       230:{2,3,5,7}:{(191,1),(192,1),(193,1),(260,1),(266,1),(269,1)}
       231:{2,4,6}:{(192,1),(261,1),(267,1),(269,1),(270,1)}
       232:{2,3,4,6,7}:{(193,1),(194,1),(262,1),(269,1),(271,1),(324,1),(334,1),(337,1),(371,1),(373,1)}
       233:{2,3,5}:{(194,1),(263,1),(270,1)}
       234:{2,4,6,7}:{(195,1),(196,1),(198,1),(272,1)}
       235:{1,4,5,7}:{(196,1),(197,1),(199,1),(272,1),(273,1),(298,1)}
       236:{2,4,5,6}:{(197,1),(200,1),(273,1),(274,1),(277,1)}
       237:{1,3,5,6,7}:{(198,1),(199,1),(219,1),(272,1),(275,1),(286,1),(338,1)}
       238:{2,5,7}:{(199,1),(200,1),(201,1)}
       239:{2,3,5,6}:{(200,1),(202,1),(221,1),(274,1),(276,1),(277,1),(279,1)}
       240:{2,3,6,7}:{(201,1),(202,1),(222,1),(276,1),(289,1),(338,1)}
       241:{2,3,4,6}:{(202,1),(203,1),(223,1),(277,1),(279,1)}
       242:{1,2,4,6}:{(204,1),(209,1),(280,1),(281,1),(282,1),(346,1)}
       243:{1,3,5}:{(204,1),(210,1),(282,1),(283,1)}
       244:{1,2,3,6}:{(205,1),(282,1),(284,1),(285,1)}
       245:{1,2,4}:{(205,1),(283,1)}
       246:{2,3,6,7}:{(206,1),(211,1),(286,1),(302,1),(338,1)}
       247:{1,3,5,7}:{(206,1),(207,1),(208,1),(212,1),(286,1),(287,1)}
       248:{2,5,6}:{(207,1),(209,1),(287,1)}
       249:{2,4,7}:{(208,1),(209,1),(287,1),(289,1)}
       250:{2,3,6}:{(209,1),(210,1),(215,1),(282,1),(289,1)}
       251:{2,3,4}:{(210,1),(216,1),(283,1)}
       252:{1,4,6,7}:{(211,1),(212,1),(219,1),(286,1)}
       253:{1,2,4,5,7}:{(212,1),(213,1),(214,1),(220,1),(227,1),(273,1),(287,1),(291,1),(292,1),(298,1),(351,1),(357,1),(384,1)}
       254:{1,3,5,6}:{(213,1),(215,1),(228,1),(274,1),(288,1),(292,1),(293,1),(295,1),(356,1)}
       255:{1,3,7}:{(214,1),(215,1),(289,1)}
       256:{1,3,4,6}:{(215,1),(216,1),(218,1),(290,1),(294,1),(295,1),(356,1)}
       257:{1,2,4,7}:{(217,1),(218,1),(294,1),(298,1),(351,1)}
       258:{1,2,4,5}:{(218,1),(225,1),(295,1),(299,1),(352,1)}
       259:{1,2,5,6,7}:{(219,1),(220,1),(229,1),(275,1),(291,1),(297,1),(301,1),(344,1),(384,1)}
       260:{1,3,5,7}:{(220,1),(221,1),(222,1),(230,1),(276,1),(298,1)}
       261:{1,4,6}:{(221,1),(231,1),(277,1),(298,1),(299,1)}
       262:{1,3,4,6,7}:{(222,1),(223,1),(224,1),(232,1),(278,1),(294,1),(298,1),(300,1),(347,1),(356,1),(358,1),(381,1),(383,1)}
       263:{1,3,5}:{(223,1),(225,1),(233,1),(279,1),(299,1)}
       264:{1,2,5,7}:{(224,1),(225,1),(300,1),(301,1),(384,1)}
       265:{2,4,6,7}:{(226,1),(227,1),(229,1),(302,1)}
       266:{3,5,7}:{(227,1),(228,1),(302,1),(303,1)}
       267:{3,4,6}:{(228,1),(231,1),(303,1),(304,1)}
       268:{2,3,5,6,7}:{(229,1),(230,1),(297,1),(302,1),(305,1),(307,1),(350,1),(359,1),(384,1)}
       269:{2,4,7}:{(230,1),(231,1),(298,1),(303,1)}
       270:{2,4,5}:{(231,1),(233,1),(299,1),(304,1)}
       271:{2,3,5,7}:{(232,1),(233,1),(300,1),(306,1),(307,1),(359,1),(384,1)}
       272:{1,4,6,7}:{(234,1),(235,1),(237,1),(308,1)}
       273:{2,4,5,7}:{(235,1),(236,1),(238,1),(308,1),(309,1),(312,1)}
       274:{3,5,6}:{(236,1),(309,1),(310,1)}
       275:{2,5,6,7}:{(237,1),(238,1),(308,1),(321,1)}
       276:{2,3,5,7}:{(238,1),(239,1),(240,1),(260,1),(309,1),(312,1)}
       277:{2,4,6}:{(239,1),(261,1),(310,1),(312,1),(313,1)}
       278:{2,3,4,6,7}:{(240,1),(241,1),(262,1),(312,1),(314,1),(324,1),(362,1),(365,1),(371,1),(373,1)}
       279:{2,3,5}:{(241,1),(263,1),(313,1)}
       280:{1,2,5,6}:{(242,1),(248,1),(315,1),(316,1),(320,1),(370,1)}
       281:{1,2,4,7}:{(242,1),(249,1),(315,1),(317,1),(367,1)}
       282:{1,3,6}:{(242,1),(243,1),(250,1),(317,1)}
       283:{1,3,4}:{(243,1),(245,1),(251,1)}
       284:{1,2,3,7}:{(244,1),(317,1),(319,1)}
       285:{1,2,4,6}:{(244,1),(245,1),(318,1),(319,1),(320,1),(370,1)}
       286:{1,3,6,7}:{(246,1),(247,1),(252,1),(321,1)}
       287:{2,5,7}:{(247,1),(248,1),(249,1),(321,1)}
       288:{2,3,5,6}:{(248,1),(250,1),(254,1),(316,1),(322,1),(323,1),(325,1),(373,1),(390,1)}
       289:{2,3,7}:{(249,1),(250,1),(255,1),(317,1)}
       290:{2,3,4,6}:{(250,1),(251,1),(256,1),(318,1),(323,1),(324,1),(325,1),(373,1)}
       291:{1,2,4,6,7}:{(252,1),(253,1),(259,1),(265,1),(308,1),(321,1),(326,1),(330,1),(331,1),(371,1)}
       292:{1,3,5,7}:{(253,1),(254,1),(255,1),(266,1),(309,1),(322,1),(326,1),(327,1)}
       293:{1,3,4,6}:{(254,1),(261,1),(267,1),(310,1),(323,1),(327,1),(328,1)}
       294:{1,3,4,7}:{(255,1),(256,1),(257,1),(324,1),(329,1)}
       295:{1,3,5}:{(256,1),(258,1),(325,1)}
       296:{1,2,4,5,7}:{(257,1),(258,1),(264,1),(329,1),(330,1),(332,1),(372,1)}
       297:{1,3,5,6,7}:{(259,1),(260,1),(268,1),(311,1),(326,1),(331,1),(333,1),(366,1),(374,1),(388,1)}
       298:{1,4,7}:{(260,1),(261,1),(269,1),(312,1)}
       299:{1,4,5}:{(261,1),(263,1),(270,1),(313,1)}
       300:{1,3,5,7}:{(262,1),(263,1),(264,1),(271,1),(314,1),(332,1),(333,1),(388,1)}
       301:{1,2,5,6}:{(264,1),(330,1),(333,1),(370,1),(390,1)}
       302:{3,6,7}:{(265,1),(266,1)}
       303:{3,4,7}:{(266,1),(267,1),(269,1)}
       304:{3,4,5}:{(267,1),(270,1)}
       305:{2,4,6,7}:{(268,1),(269,1),(331,1),(334,1),(336,1),(337,1)}
       306:{2,4,5,7}:{(269,1),(270,1),(271,1),(332,1),(335,1),(337,1)}
       307:{2,3,5,6}:{(271,1),(333,1),(337,1),(373,1),(377,1),(390,1)}
       308:{2,4,6,7}:{(272,1),(273,1),(275,1),(338,1)}
       309:{3,5,7}:{(273,1),(274,1),(338,1),(339,1)}
       310:{3,4,6}:{(274,1),(277,1),(339,1),(340,1)}
       311:{2,3,5,6,7}:{(275,1),(276,1),(297,1),(338,1),(341,1),(343,1),(350,1),(378,1),(384,1)}
       312:{2,4,7}:{(276,1),(277,1),(298,1),(339,1)}
       313:{2,4,5}:{(277,1),(279,1),(299,1),(340,1)}
       314:{2,3,5,7}:{(278,1),(279,1),(300,1),(342,1),(343,1),(378,1),(384,1)}
       315:{1,2,5,7}:{(280,1),(281,1),(287,1),(344,1),(345,1)}
       316:{1,3,5,6}:{(280,1),(282,1),(288,1),(345,1),(346,1),(348,1),(383,1),(391,1)}
       317:{1,3,7}:{(281,1),(282,1),(289,1)}
       318:{1,3,4,6}:{(282,1),(283,1),(285,1),(290,1),(346,1),(347,1),(348,1),(383,1)}
       319:{1,2,4,7}:{(284,1),(285,1),(347,1),(349,1)}
       320:{1,2,5}:{(285,1),(348,1)}
       321:{2,6,7}:{(286,1),(287,1)}
       322:{2,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(345,1),(350,1),(351,1),(384,1)}
       323:{2,4,6}:{(288,1),(293,1),(346,1),(351,1),(352,1)}
       324:{2,3,4,7}:{(289,1),(290,1),(294,1),(347,1),(351,1),(353,1)}
       325:{2,3,5}:{(290,1),(295,1),(348,1),(352,1)}
       326:{1,3,6,7}:{(291,1),(292,1),(302,1),(338,1),(350,1),(356,1)}
       327:{1,3,4,7}:{(292,1),(293,1),(298,1),(303,1),(339,1),(351,1)}
       328:{1,3,4,5}:{(293,1),(295,1),(299,1),(304,1),(340,1),(352,1)}
       329:{1,3,5,7}:{(294,1),(295,1),(296,1),(353,1),(356,1)}
       330:{1,2,4,6}:{(296,1),(301,1),(356,1),(358,1),(385,1)}
       331:{1,4,6,7}:{(297,1),(298,1),(305,1),(341,1),(357,1),(358,1)}
       332:{1,4,5,7}:{(298,1),(299,1),(300,1),(306,1),(342,1),(358,1)}
       333:{1,3,5,6}:{(300,1),(301,1),(307,1),(343,1),(356,1),(358,1),(383,1),(391,1)}
       334:{3,4,6,7}:{(302,1),(303,1),(305,1),(359,1),(360,1)}
       335:{3,4,5,7}:{(303,1),(304,1),(306,1),(359,1),(360,1)}
       336:{2,4,5,7}:{(305,1),(357,1),(359,1),(361,1),(384,1)}
       337:{2,4,6}:{(306,1),(307,1),(358,1),(360,1)}
       338:{3,6,7}:{(308,1),(309,1)}
       339:{3,4,7}:{(309,1),(310,1),(312,1)}
       340:{3,4,5}:{(310,1),(313,1)}
       341:{2,4,6,7}:{(311,1),(312,1),(331,1),(362,1),(364,1),(365,1)}
       342:{2,4,5,7}:{(312,1),(313,1),(314,1),(332,1),(363,1),(365,1)}
       343:{2,3,5,6}:{(314,1),(333,1),(365,1),(373,1),(387,1),(390,1)}
       344:{1,2,6,7}:{(315,1),(321,1),(366,1),(370,1)}
       345:{1,3,5,7}:{(315,1),(316,1),(317,1),(322,1),(366,1),(367,1),(388,1)}
       346:{1,4,6}:{(316,1),(323,1),(367,1),(368,1)}
       347:{1,3,4,7}:{(317,1),(318,1),(319,1),(324,1),(367,1),(369,1)}
       348:{1,3,5}:{(318,1),(320,1),(325,1),(368,1)}
       349:{1,2,5,7}:{(319,1),(320,1),(369,1),(370,1)}
       350:{2,3,6,7}:{(321,1),(322,1),(326,1),(366,1),(371,1),(373,1)}
       351:{2,4,7}:{(322,1),(323,1),(327,1),(367,1)}
       352:{2,4,5}:{(323,1),(325,1),(328,1),(368,1)}
       353:{2,3,5,7}:{(324,1),(325,1),(329,1),(369,1),(372,1),(373,1)}
       354:{1,3,4,6,7}:{(326,1),(327,1),(331,1),(334,1),(362,1),(371,1),(374,1),(375,1)}
       355:{1,3,4,5,7}:{(327,1),(328,1),(329,1),(332,1),(335,1),(363,1),(372,1),(374,1),(375,1)}
       356:{1,3,6}:{(329,1),(330,1),(373,1)}
       357:{1,4,5,7}:{(331,1),(336,1),(364,1),(374,1),(376,1),(388,1)}
       358:{1,4,6}:{(332,1),(333,1),(337,1),(365,1)}
       359:{3,5,7}:{(334,1),(336,1),(377,1)}
       360:{3,4,6}:{(335,1),(337,1),(377,1)}
       361:{2,4,5,6}:{(336,1),(337,1),(376,1),(377,1),(390,1)}
       362:{3,4,6,7}:{(338,1),(339,1),(341,1),(378,1),(379,1)}
       363:{3,4,5,7}:{(339,1),(340,1),(342,1),(378,1),(379,1)}
       364:{2,4,5,7}:{(341,1),(357,1),(378,1),(380,1),(384,1)}
       365:{2,4,6}:{(342,1),(343,1),(358,1),(379,1)}
       366:{1,3,6,7}:{(344,1),(345,1),(350,1),(381,1),(383,1)}
       367:{1,4,7}:{(345,1),(346,1),(351,1)}
       368:{1,4,5}:{(346,1),(348,1),(352,1)}
       369:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(382,1),(383,1)}
       370:{1,2,6}:{(349,1),(383,1)}
       371:{2,4,6,7}:{(350,1),(351,1),(354,1),(381,1),(384,1),(385,1)}
       372:{2,4,5,7}:{(351,1),(352,1),(353,1),(355,1),(382,1),(384,1),(385,1)}
       373:{2,3,6}:{(353,1),(356,1),(383,1),(385,1)}
       374:{1,3,5,7}:{(354,1),(357,1),(359,1),(378,1),(384,1),(386,1)}
       375:{1,3,4,6}:{(355,1),(356,1),(358,1),(360,1),(379,1),(385,1),(386,1)}
       376:{1,4,5,6}:{(357,1),(358,1),(361,1),(380,1),(386,1),(391,1)}
       377:{3,5,6}:{(359,1),(360,1),(361,1)}
       378:{3,5,7}:{(362,1),(364,1),(387,1)}
       379:{3,4,6}:{(363,1),(365,1),(387,1)}
       380:{2,4,5,6}:{(364,1),(365,1),(376,1),(387,1),(390,1)}
       381:{1,4,6,7}:{(366,1),(367,1),(371,1),(388,1),(389,1)}
       382:{1,4,5,7}:{(367,1),(368,1),(369,1),(372,1),(388,1),(389,1)}
       383:{1,3,6}:{(369,1),(370,1),(373,1),(389,1)}
       384:{2,5,7}:{(371,1),(374,1),(388,1),(390,1)}
       385:{2,4,6}:{(372,1),(373,1),(375,1),(389,1),(390,1)}
       386:{1,3,5,6}:{(374,1),(375,1),(376,1),(377,1),(387,1),(390,1)}
       387:{3,5,6}:{(378,1),(379,1),(380,1)}
       388:{1,5,7}:{(381,1),(384,1),(391,1)}
       389:{1,4,6}:{(382,1),(383,1),(385,1),(391,1)}
       390:{2,5,6}:{(384,1),(385,1),(386,1),(391,1)}
       391:{1,5,6}:{(388,1),(389,1),(390,1)}

2290 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(12,1),(45,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(8,1),(26,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(68,1)}
         3:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(8,1),(24,1),(29,1),(64,1)}
         4:{2,3,4,6}:{(7,1),(9,1),(10,1),(25,1),(35,1),(36,1),(66,1)}
         5:{1,2,4}:{(1,1),(13,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(15,1),(16,1),(87,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(11,1),(13,1),(15,1),(17,1),(41,1),(45,1),(48,1),(50,1),(86,1)}
         8:{1,2,5}:{(3,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(19,1),(57,1),(89,1)}
        10:{2,3,5}:{(4,1),(17,1),(20,1)}
        11:{2,3,4,6}:{(7,1),(22,1),(23,1),(25,1),(60,1),(61,1),(66,1)}
        12:{1,2,3}:{(24,1)}
        13:{1,3,4}:{(5,1),(25,1),(26,1)}
        14:{1,2,4,5}:{(5,1),(8,1),(26,1),(27,1),(30,1),(65,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(9,1),(22,1),(28,1),(68,1),(72,1),(107,1)}
        16:{1,2,5,7}:{(6,1),(8,1),(28,1),(29,1)}
        17:{1,3,5}:{(7,1),(8,1),(10,1),(23,1),(30,1)}
        18:{1,2,5,6}:{(8,1),(27,1),(29,1),(31,1),(32,1),(64,1),(108,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(28,1),(34,1),(35,1)}
        20:{2,4,5}:{(10,1),(30,1),(33,1),(36,1)}
        21:{2,3,5,6}:{(10,1),(31,1),(35,1),(36,1),(37,1),(66,1),(74,1),(76,1),(108,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(84,1),(89,1)}
        23:{2,3,5}:{(11,1),(17,1),(39,1)}
        24:{1,2,4}:{(12,1),(41,1),(42,1)}
        25:{2,3,4}:{(13,1),(41,1),(43,1)}
        26:{1,3,5}:{(13,1),(14,1),(43,1),(45,1)}
        27:{1,2,4,6}:{(14,1),(18,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(17,1),(19,1),(38,1),(47,1),(48,1)}
        29:{1,2,6}:{(16,1),(48,1)}
        30:{1,4,5}:{(17,1),(20,1),(39,1),(50,1)}
        31:{1,3,5,6}:{(17,1),(18,1),(21,1),(40,1),(45,1),(48,1),(50,1),(51,1),(86,1),(92,1),(122,1)}
        32:{1,2,5,7}:{(18,1),(46,1),(49,1),(51,1),(87,1),(124,1)}
        33:{3,4,5}:{(20,1),(53,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(47,1),(52,1),(54,1),(57,1),(98,1)}
        35:{2,3,6}:{(19,1),(48,1),(54,1)}
        36:{2,4,6}:{(20,1),(21,1),(50,1),(53,1),(57,1)}
        37:{2,3,5,7}:{(21,1),(51,1),(55,1),(57,1),(89,1),(97,1),(98,1),(124,1)}
        38:{2,3,5,7}:{(22,1),(23,1),(28,1),(59,1),(60,1)}
        39:{2,4,5}:{(23,1),(30,1),(58,1),(61,1)}
        40:{2,3,5,6}:{(23,1),(31,1),(60,1),(61,1),(62,1),(66,1),(101,1),(103,1),(108,1)}
        41:{1,3,4}:{(24,1),(25,1),(63,1)}
        42:{1,2,5}:{(24,1),(63,1),(64,1)}
        43:{2,3,5}:{(25,1),(26,1),(63,1),(65,1),(66,1)}
        44:{1,3,4,5}:{(26,1),(30,1),(33,1),(58,1),(65,1),(67,1)}
        45:{1,3,6}:{(26,1),(27,1),(66,1),(68,1)}
        46:{1,2,4,7}:{(27,1),(32,1),(68,1),(72,1),(109,1)}
        47:{1,4,5,7}:{(28,1),(30,1),(34,1),(59,1),(69,1),(72,1),(111,1)}
        48:{1,3,6}:{(28,1),(29,1),(35,1),(60,1),(69,1)}
        49:{1,2,6,7}:{(29,1),(32,1),(70,1),(134,1)}
        50:{1,4,6}:{(30,1),(31,1),(36,1),(61,1),(72,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(37,1),(62,1),(68,1),(70,1),(72,1),(107,1),(111,1),(133,1)}
        52:{3,4,5,7}:{(33,1),(34,1),(73,1),(75,1),(114,1)}
        53:{3,4,6}:{(33,1),(36,1),(74,1),(75,1)}
        54:{2,4,6}:{(34,1),(35,1),(69,1),(73,1),(76,1)}
        55:{2,3,6,7}:{(35,1),(37,1),(70,1),(77,1),(115,1),(134,1)}
        56:{2,4,5,6}:{(36,1),(71,1),(74,1),(76,1),(78,1),(108,1),(113,1)}
        57:{2,4,7}:{(36,1),(37,1),(72,1),(75,1)}
        58:{3,4,5}:{(39,1),(80,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(47,1),(79,1),(81,1),(84,1),(120,1)}
        60:{2,3,6}:{(38,1),(48,1),(81,1)}
        61:{2,4,6}:{(39,1),(40,1),(50,1),(80,1),(84,1)}
        62:{2,3,5,7}:{(40,1),(51,1),(82,1),(84,1),(89,1),(119,1),(120,1),(124,1)}
        63:{1,3,5}:{(41,1),(42,1),(43,1),(85,1),(86,1)}
        64:{1,2,6}:{(42,1),(86,1),(87,1)}
        65:{2,4,5}:{(43,1),(44,1),(85,1),(88,1)}
        66:{2,3,6}:{(43,1),(45,1),(86,1),(88,1),(89,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(50,1),(53,1),(80,1),(88,1),(90,1),(91,1)}
        68:{1,3,7}:{(45,1),(46,1),(89,1)}
        69:{1,4,6}:{(47,1),(48,1),(54,1),(81,1),(92,1)}
        70:{1,3,6,7}:{(48,1),(49,1),(51,1),(55,1),(82,1),(93,1),(138,1)}
        71:{1,4,5,6}:{(50,1),(56,1),(83,1),(90,1),(92,1),(94,1),(122,1)}
        72:{1,4,7}:{(50,1),(51,1),(57,1),(84,1)}
        73:{3,4,6}:{(52,1),(54,1),(95,1)}
        74:{3,5,6}:{(53,1),(56,1),(97,1)}
        75:{3,4,7}:{(53,1),(57,1),(97,1)}
        76:{2,5,6}:{(54,1),(92,1),(95,1),(98,1)}
        77:{2,4,6,7}:{(54,1),(55,1),(57,1),(93,1),(96,1),(98,1)}
        78:{2,4,5,7}:{(56,1),(57,1),(94,1),(97,1),(98,1),(99,1),(124,1),(127,1)}
        79:{3,4,5,7}:{(58,1),(59,1),(100,1),(102,1),(130,1)}
        80:{3,4,6}:{(58,1),(61,1),(101,1),(102,1)}
        81:{2,4,6}:{(59,1),(60,1),(69,1),(100,1),(103,1)}
        82:{2,3,6,7}:{(60,1),(62,1),(70,1),(104,1),(131,1),(134,1)}
        83:{2,4,5,6}:{(61,1),(71,1),(101,1),(103,1),(105,1),(108,1),(129,1)}
        84:{2,4,7}:{(61,1),(62,1),(72,1),(102,1)}
        85:{1,4,5}:{(63,1),(65,1),(106,1)}
        86:{1,3,6}:{(63,1),(64,1),(66,1),(106,1),(107,1)}
        87:{1,2,7}:{(64,1),(107,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(106,1),(108,1),(109,1)}
        89:{2,3,7}:{(66,1),(68,1),(107,1),(109,1)}
        90:{1,3,5,6}:{(67,1),(71,1),(74,1),(101,1),(108,1),(110,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(72,1),(75,1),(102,1),(109,1),(110,1)}
        92:{1,5,6}:{(69,1),(76,1),(103,1),(111,1)}
        93:{1,4,6,7}:{(69,1),(70,1),(72,1),(77,1),(104,1),(111,1)}
        94:{1,4,5,7}:{(71,1),(72,1),(78,1),(105,1),(110,1),(111,1),(112,1),(133,1)}
        95:{3,5,6}:{(73,1),(76,1),(113,1),(114,1)}
        96:{3,4,6,7}:{(73,1),(75,1),(77,1),(114,1),(115,1),(135,1)}
        97:{3,5,7}:{(74,1),(75,1),(78,1),(115,1)}
        98:{2,5,7}:{(76,1),(77,1),(111,1),(114,1)}
        99:{2,4,6,7}:{(78,1),(112,1),(115,1),(116,1),(134,1),(135,1)}
       100:{3,4,6}:{(79,1),(81,1),(117,1)}
       101:{3,5,6}:{(80,1),(83,1),(119,1)}
       102:{3,4,7}:{(80,1),(84,1),(119,1)}
       103:{2,5,6}:{(81,1),(92,1),(117,1),(120,1)}
       104:{2,4,6,7}:{(81,1),(82,1),(84,1),(93,1),(118,1),(120,1)}
       105:{2,4,5,7}:{(83,1),(84,1),(94,1),(119,1),(120,1),(121,1),(124,1),(136,1)}
       106:{1,4,6}:{(85,1),(86,1),(88,1),(122,1),(123,1)}
       107:{1,3,7}:{(86,1),(87,1),(89,1),(123,1)}
       108:{2,5,6}:{(88,1),(90,1),(122,1),(124,1)}
       109:{2,4,7}:{(88,1),(89,1),(91,1),(123,1),(124,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(94,1),(97,1),(119,1),(124,1),(125,1)}
       111:{1,5,7}:{(92,1),(93,1),(98,1),(120,1)}
       112:{1,4,6,7}:{(94,1),(99,1),(121,1),(125,1),(126,1),(138,1)}
       113:{4,5,6}:{(95,1),(127,1)}
       114:{3,5,7}:{(95,1),(96,1),(98,1),(127,1)}
       115:{3,6,7}:{(97,1),(99,1)}
       116:{2,5,6,7}:{(98,1),(99,1),(126,1),(128,1)}
       117:{3,5,6}:{(100,1),(103,1),(129,1),(130,1)}
       118:{3,4,6,7}:{(100,1),(102,1),(104,1),(130,1),(131,1),(139,1)}
       119:{3,5,7}:{(101,1),(102,1),(105,1),(131,1)}
       120:{2,5,7}:{(103,1),(104,1),(111,1),(130,1)}
       121:{2,4,6,7}:{(105,1),(112,1),(131,1),(132,1),(134,1),(139,1)}
       122:{1,5,6}:{(106,1),(108,1),(133,1)}
       123:{1,4,7}:{(106,1),(107,1),(109,1),(133,1)}
       124:{2,5,7}:{(108,1),(109,1),(110,1),(133,1),(134,1)}
       125:{1,3,6,7}:{(110,1),(112,1),(115,1),(131,1),(134,1)}
       126:{1,5,6,7}:{(111,1),(112,1),(116,1),(132,1)}
       127:{4,5,7}:{(113,1),(114,1),(135,1)}
       128:{3,5,6,7}:{(114,1),(115,1),(116,1),(135,1)}
       129:{4,5,6}:{(117,1),(136,1)}
       130:{3,5,7}:{(117,1),(118,1),(120,1),(136,1)}
       131:{3,6,7}:{(119,1),(121,1)}
       132:{2,5,6,7}:{(120,1),(121,1),(126,1),(137,1)}
       133:{1,5,7}:{(122,1),(123,1),(124,1),(138,1)}
       134:{2,6,7}:{(124,1),(125,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{4,5,7}:{(129,1),(130,1),(139,1)}
       137:{3,5,6,7}:{(130,1),(131,1),(132,1),(139,1)}
       138:{1,6,7}:{(133,1),(134,1)}
       139:{4,6,7}:{(136,1),(137,1)}

2291 :   0:{1,2,3,7}:{(1,1),(2,1),(88,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(23,1),(65,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(6,1),(7,1),(105,1)}
         3:{2,3,4,7}:{(6,1),(8,1),(9,1),(73,1),(107,1)}
         4:{1,2,3,5}:{(1,1),(12,1),(14,1),(42,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(16,1),(40,1),(84,1)}
         6:{1,3,4,7}:{(2,1),(3,1),(11,1),(13,1),(15,1),(88,1),(90,1),(121,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(16,1)}
         8:{2,3,4,6}:{(3,1),(13,1),(17,1),(19,1),(41,1),(50,1),(86,1)}
         9:{2,3,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1)}
        10:{3,4,5,7}:{(18,1),(20,1),(49,1),(55,1),(93,1)}
        11:{2,3,4,7}:{(6,1),(21,1),(22,1),(101,1),(107,1)}
        12:{1,2,4}:{(4,1),(24,1)}
        13:{1,3,4,6}:{(5,1),(6,1),(8,1),(21,1),(24,1),(26,1),(29,1),(61,1),(65,1),(67,1),(104,1)}
        14:{1,2,5}:{(5,1),(26,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(29,1)}
        16:{1,2,6}:{(7,1),(29,1)}
        17:{2,3,5}:{(8,1),(26,1),(31,1)}
        18:{2,4,5,7}:{(9,1),(10,1),(28,1),(31,1),(33,1),(73,1),(74,1)}
        19:{2,3,6}:{(9,1),(29,1),(33,1)}
        20:{3,4,6}:{(10,1),(33,1),(35,1)}
        21:{2,3,4,6}:{(11,1),(13,1),(37,1),(39,1),(41,1),(79,1),(86,1)}
        22:{2,3,5,7}:{(11,1),(15,1),(37,1),(38,1),(39,1)}
        23:{1,2,3}:{(40,1)}
        24:{1,3,4}:{(12,1),(41,1),(42,1)}
        25:{1,2,4,5}:{(12,1),(14,1),(42,1),(43,1),(44,1),(85,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(37,1),(44,1)}
        27:{1,2,5,6}:{(14,1),(16,1),(43,1),(45,1),(46,1),(84,1),(122,1)}
        28:{1,4,5,7}:{(15,1),(18,1),(38,1),(44,1),(47,1),(90,1),(91,1)}
        29:{1,3,6}:{(15,1),(16,1),(19,1),(39,1),(47,1)}
        30:{1,2,6,7}:{(16,1),(46,1),(48,1),(138,1)}
        31:{2,4,5}:{(17,1),(44,1),(49,1),(50,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(45,1),(50,1),(51,1),(52,1),(86,1),(92,1),(122,1)}
        33:{2,4,6}:{(18,1),(19,1),(20,1),(47,1),(52,1)}
        34:{2,3,6,7}:{(19,1),(48,1),(51,1),(53,1),(126,1),(138,1)}
        35:{3,5,6}:{(20,1),(52,1),(54,1),(55,1)}
        36:{3,4,6,7}:{(20,1),(53,1),(55,1),(93,1),(96,1),(126,1)}
        37:{2,3,5}:{(21,1),(26,1),(57,1)}
        38:{2,4,5,7}:{(22,1),(28,1),(56,1),(57,1),(59,1),(101,1),(102,1)}
        39:{2,3,6}:{(22,1),(29,1),(59,1)}
        40:{1,2,4}:{(23,1),(61,1),(62,1)}
        41:{2,3,4}:{(24,1),(61,1),(63,1)}
        42:{1,3,5}:{(24,1),(25,1),(63,1),(65,1)}
        43:{1,2,4,6}:{(25,1),(27,1),(65,1),(66,1),(67,1),(106,1)}
        44:{1,4,5}:{(26,1),(31,1),(57,1),(67,1)}
        45:{1,3,5,6}:{(26,1),(27,1),(29,1),(32,1),(58,1),(65,1),(67,1),(68,1),(69,1),(104,1),(131,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(66,1),(68,1),(105,1),(133,1)}
        47:{1,4,6}:{(28,1),(29,1),(33,1),(59,1),(69,1)}
        48:{1,3,6,7}:{(29,1),(30,1),(34,1),(60,1),(68,1),(70,1),(139,1)}
        49:{3,4,5}:{(31,1),(71,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(71,1),(73,1)}
        51:{2,3,5,7}:{(32,1),(34,1),(68,1),(73,1),(74,1),(107,1),(112,1),(133,1)}
        52:{2,5,6}:{(33,1),(35,1),(69,1),(74,1)}
        53:{2,4,6,7}:{(33,1),(34,1),(36,1),(70,1),(73,1),(74,1)}
        54:{4,5,6}:{(35,1),(75,1)}
        55:{3,5,7}:{(35,1),(36,1),(74,1),(75,1)}
        56:{3,4,5,7}:{(38,1),(77,1),(78,1),(115,1),(117,1)}
        57:{2,4,5}:{(37,1),(44,1),(78,1),(79,1)}
        58:{2,3,5,6}:{(37,1),(39,1),(45,1),(79,1),(80,1),(81,1),(86,1),(116,1),(122,1)}
        59:{2,4,6}:{(38,1),(39,1),(47,1),(77,1),(81,1)}
        60:{2,3,6,7}:{(39,1),(48,1),(80,1),(82,1),(136,1),(138,1)}
        61:{1,3,4}:{(40,1),(41,1),(83,1)}
        62:{1,2,5}:{(40,1),(83,1),(84,1)}
        63:{2,3,5}:{(41,1),(42,1),(83,1),(85,1),(86,1)}
        64:{1,3,4,5}:{(42,1),(44,1),(49,1),(78,1),(85,1),(87,1)}
        65:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        66:{1,2,4,7}:{(43,1),(46,1),(88,1),(90,1),(123,1)}
        67:{1,4,6}:{(44,1),(45,1),(50,1),(79,1),(90,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(48,1),(51,1),(80,1),(88,1),(90,1),(91,1),(121,1),(137,1)}
        69:{1,5,6}:{(47,1),(52,1),(81,1),(91,1)}
        70:{1,4,6,7}:{(47,1),(48,1),(53,1),(82,1),(90,1),(91,1)}
        71:{3,4,6}:{(49,1),(50,1),(92,1),(93,1)}
        72:{2,4,5,6}:{(50,1),(52,1),(54,1),(89,1),(92,1),(94,1),(122,1)}
        73:{2,4,7}:{(50,1),(51,1),(90,1),(93,1)}
        74:{2,5,7}:{(52,1),(53,1),(55,1),(91,1)}
        75:{4,5,7}:{(54,1),(55,1),(96,1)}
        76:{3,5,6,7}:{(55,1),(95,1),(96,1),(126,1)}
        77:{3,4,6}:{(56,1),(59,1),(97,1)}
        78:{3,4,5}:{(57,1),(99,1)}
        79:{2,4,6}:{(57,1),(58,1),(67,1),(99,1),(101,1)}
        80:{2,3,5,7}:{(58,1),(60,1),(68,1),(101,1),(102,1),(107,1),(129,1),(133,1)}
        81:{2,5,6}:{(59,1),(69,1),(97,1),(102,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(70,1),(98,1),(101,1),(102,1)}
        83:{1,3,5}:{(61,1),(62,1),(63,1),(103,1),(104,1)}
        84:{1,2,6}:{(62,1),(104,1),(105,1)}
        85:{2,4,5}:{(63,1),(64,1),(103,1),(106,1)}
        86:{2,3,6}:{(63,1),(65,1),(104,1),(106,1),(107,1)}
        87:{1,3,4,6}:{(64,1),(65,1),(67,1),(71,1),(99,1),(106,1),(108,1),(109,1)}
        88:{1,3,7}:{(65,1),(66,1),(107,1)}
        89:{1,4,5,6}:{(67,1),(69,1),(72,1),(100,1),(108,1),(110,1),(131,1)}
        90:{1,4,7}:{(67,1),(68,1),(73,1),(101,1)}
        91:{1,5,7}:{(69,1),(70,1),(74,1),(102,1)}
        92:{3,5,6}:{(71,1),(72,1),(112,1)}
        93:{3,4,7}:{(71,1),(73,1),(112,1)}
        94:{2,4,5,7}:{(72,1),(73,1),(74,1),(75,1),(110,1),(112,1),(113,1),(133,1)}
        95:{2,5,6,7}:{(74,1),(76,1),(111,1),(113,1)}
        96:{4,6,7}:{(75,1),(76,1)}
        97:{3,5,6}:{(77,1),(81,1),(114,1),(115,1)}
        98:{3,4,6,7}:{(77,1),(82,1),(115,1),(117,1),(135,1),(136,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{2,4,5,6}:{(79,1),(81,1),(89,1),(114,1),(116,1),(118,1),(122,1)}
       101:{2,4,7}:{(79,1),(80,1),(90,1),(117,1)}
       102:{2,5,7}:{(81,1),(82,1),(91,1),(115,1)}
       103:{1,4,5}:{(83,1),(85,1),(120,1)}
       104:{1,3,6}:{(83,1),(84,1),(86,1),(120,1),(121,1)}
       105:{1,2,7}:{(84,1),(121,1)}
       106:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1)}
       107:{2,3,7}:{(86,1),(88,1),(121,1),(123,1)}
       108:{1,3,5,6}:{(87,1),(89,1),(92,1),(116,1),(122,1),(124,1)}
       109:{1,3,4,7}:{(87,1),(88,1),(90,1),(93,1),(117,1),(123,1),(124,1)}
       110:{1,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(118,1),(124,1),(125,1),(137,1)}
       111:{1,5,6,7}:{(91,1),(95,1),(119,1),(125,1)}
       112:{3,5,7}:{(92,1),(93,1),(94,1),(126,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{4,5,6}:{(97,1),(127,1)}
       115:{3,5,7}:{(97,1),(98,1),(102,1),(127,1)}
       116:{3,5,6}:{(99,1),(100,1),(129,1)}
       117:{3,4,7}:{(99,1),(101,1),(129,1)}
       118:{2,4,5,7}:{(100,1),(101,1),(102,1),(110,1),(127,1),(129,1),(130,1),(133,1)}
       119:{2,5,6,7}:{(102,1),(111,1),(128,1),(130,1)}
       120:{1,4,6}:{(103,1),(104,1),(106,1),(131,1),(132,1)}
       121:{1,3,7}:{(104,1),(105,1),(107,1),(132,1)}
       122:{2,5,6}:{(106,1),(108,1),(131,1),(133,1)}
       123:{2,4,7}:{(106,1),(107,1),(109,1),(132,1),(133,1)}
       124:{1,3,5,7}:{(108,1),(109,1),(110,1),(112,1),(129,1),(133,1),(134,1)}
       125:{1,4,6,7}:{(110,1),(111,1),(113,1),(130,1),(134,1),(139,1)}
       126:{3,6,7}:{(112,1),(113,1)}
       127:{4,5,7}:{(114,1),(115,1),(135,1)}
       128:{3,5,6,7}:{(115,1),(119,1),(135,1),(136,1)}
       129:{3,5,7}:{(116,1),(117,1),(118,1),(136,1)}
       130:{2,4,6,7}:{(118,1),(119,1),(125,1),(135,1),(136,1),(138,1)}
       131:{1,5,6}:{(120,1),(122,1),(137,1)}
       132:{1,4,7}:{(120,1),(121,1),(123,1),(137,1)}
       133:{2,5,7}:{(122,1),(123,1),(124,1),(137,1),(138,1)}
       134:{1,3,6,7}:{(124,1),(125,1),(126,1),(136,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,6,7}:{(129,1),(130,1)}
       137:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{2,6,7}:{(133,1),(134,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2292 :   0:{2,3,4,5,7}:{(2,1),(3,1),(18,1),(48,1),(49,1),(105,1),(177,1),(182,1),(249,1),(256,1),(261,1)}
         1:{2,4,5,6,7}:{(4,1),(5,1),(26,1),(27,1),(129,1),(203,1)}
         2:{2,3,4,6}:{(0,1),(8,1),(9,1),(75,1),(143,1),(276,1),(280,1),(284,1)}
         3:{1,3,4,5,7}:{(0,1),(9,1),(10,1),(32,1),(34,1),(77,1),(139,1),(149,1),(154,1),(155,1),(158,1),(279,1)}
         4:{1,4,5,6,7}:{(1,1),(11,1),(12,1),(45,1),(46,1),(96,1),(173,1)}
         5:{3,5,6,7}:{(1,1),(13,1),(164,1),(238,1)}
         6:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(27,1),(69,1),(105,1),(106,1),(177,1),(202,1),(209,1)}
         7:{3,4,5,6}:{(17,1),(20,1),(181,1),(268,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(268,1),(272,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(55,1),(117,1),(122,1),(296,1)}
        10:{2,4,5,7}:{(3,1),(22,1),(23,1),(58,1),(110,1),(120,1),(123,1),(176,1)}
        11:{2,4,5,6,7}:{(4,1),(24,1),(26,1),(65,1),(72,1),(138,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(24,1),(25,1),(26,1),(210,1)}
        13:{3,4,6,7}:{(5,1),(17,1),(27,1)}
        14:{2,3,5,6,7}:{(5,1),(18,1),(26,1),(27,1),(28,1),(69,1)}
        15:{1,3,4,5,6}:{(7,1),(29,1),(30,1),(36,1),(40,1),(82,1),(89,1),(94,1),(153,1),(162,1),(246,1)}
        16:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(76,1),(80,1),(144,1),(145,1),(149,1),(154,1),(213,1),(216,1),(279,1),(304,1)}
        17:{3,4,5,7}:{(7,1),(13,1),(33,1),(215,1),(238,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(33,1),(34,1),(238,1),(245,1)}
        19:{1,3,4,6,7}:{(6,1),(9,1),(34,1),(35,1),(46,1),(81,1),(100,1),(103,1),(139,1),(149,1),(155,1),(244,1)}
        20:{2,4,5,6}:{(7,1),(8,1),(33,1),(36,1),(143,1)}
        21:{1,3,5,6}:{(8,1),(9,1),(34,1),(36,1),(37,1),(89,1),(291,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(38,1)}
        23:{2,3,5,7}:{(10,1),(32,1),(38,1),(39,1),(91,1),(146,1),(214,1)}
        24:{3,5,6,7}:{(11,1),(41,1),(103,1),(174,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(41,1),(44,1),(46,1),(96,1),(100,1),(103,1),(164,1)}
        26:{2,5,6,7}:{(12,1),(44,1),(45,1),(245,1)}
        27:{2,4,6,7}:{(13,1),(14,1),(33,1),(46,1)}
        28:{1,3,5,6,7}:{(14,1),(34,1),(45,1),(46,1),(47,1),(100,1),(103,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(25,1),(50,1),(57,1),(63,1),(111,1),(119,1),(125,1),(187,1),(196,1),(210,1)}
        30:{2,4,5,6}:{(15,1),(50,1),(52,1),(53,1),(115,1),(191,1),(272,1)}
        31:{1,2,4,6}:{(16,1),(22,1),(54,1),(55,1),(109,1),(117,1),(250,1),(296,1),(311,1)}
        32:{1,3,5,7}:{(16,1),(23,1),(48,1),(55,1),(56,1),(118,1),(183,1),(247,1),(249,1)}
        33:{2,4,5,7}:{(17,1),(18,1),(20,1),(27,1),(57,1),(177,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(57,1),(58,1),(119,1),(271,1)}
        35:{2,4,6,7}:{(19,1),(22,1),(58,1),(59,1),(120,1),(134,1),(176,1)}
        36:{1,4,5,6}:{(20,1),(21,1),(57,1),(60,1),(117,1)}
        37:{2,5,6}:{(21,1),(22,1),(58,1)}
        38:{2,3,6}:{(22,1),(23,1),(55,1)}
        39:{2,3,4,7}:{(23,1),(56,1),(62,1),(120,1),(184,1)}
        40:{3,4,5,6}:{(63,1),(64,1),(212,1),(300,1)}
        41:{3,4,6,7}:{(24,1),(63,1),(65,1)}
        42:{2,3,5,6,7}:{(24,1),(26,1),(65,1),(66,1),(69,1),(124,1)}
        43:{2,3,4,5,7}:{(49,1),(67,1),(68,1),(105,1),(124,1),(193,1),(206,1),(256,1),(297,1),(301,1),(312,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(50,1),(69,1),(70,1),(134,1)}
        45:{1,5,6,7}:{(26,1),(70,1),(271,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(57,1),(72,1)}
        47:{2,5,6,7}:{(28,1),(58,1),(72,1),(134,1)}
        48:{2,3,5,7}:{(32,1),(75,1),(76,1),(144,1),(221,1),(273,1),(304,1)}
        49:{2,3,4,5}:{(74,1),(77,1),(158,1),(221,1),(228,1),(235,1)}
        50:{2,4,5,7}:{(29,1),(30,1),(44,1),(78,1),(79,1),(147,1),(224,1),(245,1)}
        51:{1,2,4,6,7}:{(31,1),(35,1),(80,1),(81,1),(141,1),(149,1),(170,1),(213,1),(244,1)}
        52:{2,3,5,6}:{(30,1),(74,1),(78,1),(82,1),(89,1),(162,1)}
        53:{1,4,5,6}:{(30,1),(79,1),(82,1),(227,1),(291,1)}
        54:{1,2,5,6}:{(31,1),(37,1),(80,1),(84,1),(144,1),(217,1),(291,1)}
        55:{1,3,6}:{(31,1),(32,1),(38,1),(75,1),(276,1)}
        56:{1,3,4,7}:{(32,1),(39,1),(76,1),(85,1),(149,1),(215,1),(222,1)}
        57:{1,4,5,7}:{(33,1),(34,1),(36,1),(46,1),(86,1),(149,1)}
        58:{2,5,7}:{(34,1),(35,1),(37,1)}
        59:{2,3,6,7}:{(35,1),(38,1),(81,1),(87,1),(103,1),(214,1)}
        60:{2,4,5,6}:{(36,1),(37,1),(86,1),(89,1),(90,1)}
        61:{2,3,5,6}:{(37,1),(38,1),(84,1),(87,1),(89,1),(90,1),(91,1)}
        62:{2,3,4,6}:{(38,1),(39,1),(85,1),(90,1),(91,1)}
        63:{3,4,5,7}:{(40,1),(41,1),(92,1),(174,1),(306,1)}
        64:{2,4,5,6}:{(40,1),(92,1),(93,1),(94,1),(285,1)}
        65:{2,4,6,7}:{(41,1),(42,1),(92,1),(96,1)}
        66:{1,3,5,6,7}:{(42,1),(45,1),(96,1),(97,1),(100,1),(159,1),(164,1)}
        67:{2,3,4,6}:{(43,1),(93,1),(98,1),(229,1),(240,1),(280,1),(285,1),(314,1)}
        68:{1,3,4,5,7}:{(43,1),(77,1),(98,1),(99,1),(139,1),(159,1),(168,1),(232,1),(235,1),(279,1),(282,1),(286,1)}
        69:{2,3,6,7}:{(44,1),(78,1),(100,1),(103,1),(164,1)}
        70:{1,4,6,7}:{(44,1),(45,1),(79,1),(100,1)}
        71:{1,2,5,6,7}:{(45,1),(47,1),(80,1),(97,1),(101,1),(102,1),(170,1),(217,1),(230,1),(245,1),(291,1),(310,1)}
        72:{2,4,6,7}:{(46,1),(47,1),(86,1),(103,1)}
        73:{2,3,5,6,7}:{(47,1),(87,1),(102,1),(103,1),(104,1),(157,1),(171,1),(174,1),(245,1),(281,1),(310,1),(314,1)}
        74:{2,3,4,6}:{(49,1),(52,1),(105,1),(107,1),(122,1),(191,1),(199,1),(251,1)}
        75:{2,3,6}:{(48,1),(55,1),(109,1),(311,1)}
        76:{2,4,7}:{(48,1),(56,1),(109,1),(254,1)}
        77:{1,3,4,5}:{(49,1),(107,1),(110,1),(183,1),(258,1)}
        78:{2,3,5,7}:{(50,1),(52,1),(69,1),(105,1),(111,1),(119,1),(196,1)}
        79:{1,4,5,7}:{(50,1),(53,1),(70,1),(111,1),(255,1),(271,1)}
        80:{1,2,5,7}:{(51,1),(54,1),(58,1),(113,1),(178,1),(271,1)}
        81:{1,3,6,7}:{(51,1),(55,1),(59,1),(106,1),(113,1),(247,1)}
        82:{1,3,5,6}:{(52,1),(53,1),(107,1),(111,1),(115,1)}
        83:{1,2,4,5,6}:{(53,1),(54,1),(60,1),(112,1),(115,1),(116,1),(117,1),(127,1),(179,1),(182,1),(191,1),(197,1),(211,1),(250,1),(258,1),(263,1),(272,1),(295,1),(296,1),(301,1),(311,1),(313,1)}
        84:{1,3,5,6}:{(54,1),(55,1),(61,1),(108,1),(113,1),(117,1),(118,1)}
        85:{1,3,4,6}:{(55,1),(56,1),(62,1),(109,1),(117,1),(118,1),(181,1)}
        86:{2,4,5,7}:{(57,1),(58,1),(60,1),(72,1),(119,1),(120,1)}
        87:{2,3,5,7}:{(58,1),(59,1),(61,1),(113,1),(119,1),(120,1)}
        88:{2,3,4,6,7}:{(59,1),(62,1),(114,1),(120,1),(121,1),(137,1),(194,1),(209,1),(248,1),(294,1)}
        89:{3,5,6}:{(60,1),(119,1),(122,1)}
        90:{2,4,6}:{(61,1),(117,1),(120,1),(122,1),(123,1)}
        91:{2,3,5}:{(62,1),(118,1),(123,1)}
        92:{2,4,5,7}:{(63,1),(64,1),(65,1),(124,1),(125,1),(297,1)}
        93:{2,3,5,6}:{(64,1),(67,1),(124,1),(126,1),(212,1),(272,1)}
        94:{1,4,5,6}:{(64,1),(125,1),(126,1),(127,1),(263,1)}
        95:{2,3,4,6,7}:{(65,1),(67,1),(69,1),(105,1),(124,1),(128,1),(137,1),(209,1),(265,1),(297,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(125,1),(129,1)}
        97:{2,5,6,7}:{(66,1),(129,1),(134,1),(195,1)}
        98:{1,3,4,6}:{(67,1),(68,1),(126,1),(131,1),(199,1),(204,1),(263,1),(296,1)}
        99:{2,4,5,7}:{(68,1),(110,1),(131,1),(133,1),(176,1),(195,1),(260,1),(264,1)}
       100:{1,3,6,7}:{(69,1),(70,1),(111,1),(134,1)}
       101:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(112,1),(129,1),(134,1),(135,1),(136,1),(209,1),(250,1),(296,1),(311,1),(313,1)}
       102:{1,3,5,6,7}:{(71,1),(73,1),(113,1),(130,1),(135,1),(136,1),(189,1),(208,1),(210,1),(259,1),(271,1),(303,1)}
       103:{3,6,7}:{(72,1),(119,1)}
       104:{2,4,6,7}:{(73,1),(120,1),(136,1),(137,1),(138,1),(194,1),(297,1),(313,1)}
       105:{2,3,4,7}:{(74,1),(78,1),(139,1),(155,1),(224,1),(232,1),(273,1)}
       106:{2,3,6,7}:{(75,1),(81,1),(140,1),(141,1),(273,1),(276,1)}
       107:{1,3,4,6}:{(74,1),(77,1),(82,1),(139,1),(142,1),(218,1),(227,1)}
       108:{2,3,5,6}:{(75,1),(84,1),(140,1),(143,1),(144,1),(217,1),(220,1),(276,1)}
       109:{2,4,6}:{(75,1),(76,1),(85,1),(144,1)}
       110:{2,4,5}:{(77,1),(142,1),(146,1)}
       111:{1,3,5,7}:{(78,1),(79,1),(82,1),(100,1),(139,1),(147,1)}
       112:{1,2,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(101,1),(147,1),(148,1),(149,1),(160,1),(173,1),(213,1),(216,1),(224,1),(230,1),(245,1),(279,1),(282,1),(304,1),(307,1)}
       113:{1,3,5,7}:{(80,1),(81,1),(84,1),(87,1),(140,1),(149,1)}
       114:{1,3,4,6,7}:{(81,1),(85,1),(88,1),(141,1),(149,1),(150,1),(215,1),(226,1),(244,1),(274,1),(276,1),(305,1)}
       115:{2,5,6}:{(82,1),(142,1),(147,1)}
       116:{1,3,5,6}:{(83,1),(89,1),(148,1),(152,1),(153,1),(162,1),(218,1),(220,1),(276,1),(278,1),(305,1),(309,1),(314,1)}
       117:{1,4,6}:{(84,1),(90,1),(143,1),(149,1),(154,1)}
       118:{1,3,5}:{(85,1),(91,1),(144,1),(154,1),(220,1)}
       119:{3,5,7}:{(86,1),(89,1),(103,1),(155,1)}
       120:{2,4,7}:{(87,1),(90,1),(149,1),(155,1)}
       121:{2,3,5,7}:{(88,1),(91,1),(150,1),(156,1),(157,1),(174,1),(245,1)}
       122:{3,4,6}:{(89,1),(90,1),(155,1),(158,1)}
       123:{2,4,5}:{(90,1),(91,1),(154,1),(158,1)}
       124:{2,3,5,7}:{(92,1),(93,1),(95,1),(159,1),(174,1),(245,1)}
       125:{1,4,5,7}:{(92,1),(94,1),(96,1),(159,1),(160,1),(282,1)}
       126:{1,3,5,6}:{(93,1),(94,1),(98,1),(159,1),(161,1),(162,1),(291,1)}
       127:{2,4,5,6}:{(94,1),(160,1),(161,1),(162,1),(234,1)}
       128:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(100,1),(139,1),(159,1),(163,1),(164,1),(232,1),(236,1),(244,1),(282,1)}
       129:{2,4,6,7}:{(96,1),(97,1),(160,1),(164,1)}
       130:{2,3,5,6,7}:{(97,1),(102,1),(140,1),(164,1),(165,1),(171,1),(217,1),(231,1),(238,1),(245,1),(276,1),(289,1)}
       131:{2,4,6}:{(98,1),(99,1),(161,1),(167,1)}
       132:{1,2,4,5,7}:{(99,1),(145,1),(166,1),(168,1),(213,1),(230,1),(243,1),(279,1),(282,1),(286,1),(290,1),(304,1),(307,1)}
       133:{2,3,5,7}:{(99,1),(146,1),(167,1),(168,1),(169,1),(214,1),(242,1)}
       134:{2,6,7}:{(100,1),(147,1)}
       135:{1,3,6,7}:{(101,1),(103,1),(148,1),(164,1),(171,1),(276,1),(305,1),(314,1)}
       136:{1,4,6,7}:{(102,1),(104,1),(149,1),(165,1),(173,1),(226,1),(282,1),(308,1)}
       137:{3,4,6,7}:{(103,1),(104,1),(155,1),(174,1),(229,1),(306,1),(314,1)}
       138:{2,4,5,7}:{(104,1),(173,1),(174,1),(175,1),(245,1)}
       139:{1,3,4,7}:{(105,1),(107,1),(111,1),(176,1),(247,1),(255,1)}
       140:{2,3,5,7}:{(106,1),(108,1),(113,1),(177,1),(178,1),(249,1)}
       141:{2,4,6,7}:{(106,1),(109,1),(114,1),(177,1),(178,1),(250,1),(292,1),(311,1)}
       142:{2,4,6}:{(107,1),(110,1),(115,1),(176,1),(180,1)}
       143:{2,4,6}:{(108,1),(117,1),(177,1),(181,1),(182,1)}
       144:{2,5}:{(109,1),(118,1)}
       145:{1,2,4,5}:{(110,1),(179,1),(183,1),(254,1),(258,1),(295,1)}
       146:{2,3,5}:{(110,1),(180,1),(183,1),(184,1)}
       147:{2,5,7}:{(111,1),(115,1),(134,1),(176,1)}
       148:{1,3,5,7}:{(112,1),(116,1),(119,1),(135,1),(186,1),(187,1),(196,1),(247,1),(249,1),(312,1)}
       149:{1,4,7}:{(113,1),(117,1),(120,1),(177,1)}
       150:{1,3,5,7}:{(114,1),(118,1),(121,1),(178,1),(188,1),(189,1),(249,1),(271,1)}
       151:{1,2,5,6}:{(115,1),(179,1),(185,1),(190,1),(295,1),(311,1)}
       152:{2,3,5,6}:{(115,1),(116,1),(180,1),(186,1),(190,1),(191,1),(251,1),(253,1),(272,1),(294,1),(295,1),(311,1)}
       153:{1,3,4,6}:{(116,1),(117,1),(122,1),(181,1),(187,1),(191,1),(192,1),(199,1),(263,1),(300,1)}
       154:{1,4,5}:{(117,1),(118,1),(123,1),(182,1)}
       155:{3,4,7}:{(119,1),(120,1),(122,1)}
       156:{2,4,5,7}:{(120,1),(121,1),(123,1),(188,1),(193,1),(194,1)}
       157:{2,3,5,6}:{(121,1),(189,1),(194,1),(212,1),(272,1),(294,1)}
       158:{3,4,5}:{(122,1),(123,1)}
       159:{1,3,5,7}:{(124,1),(125,1),(126,1),(128,1),(195,1),(196,1),(271,1)}
       160:{2,4,5,7}:{(125,1),(127,1),(129,1),(195,1),(196,1),(260,1)}
       161:{2,5,6}:{(126,1),(131,1),(195,1)}
       162:{3,5,6}:{(127,1),(196,1),(199,1)}
       163:{2,4,6,7}:{(128,1),(131,1),(134,1),(176,1),(195,1),(201,1),(260,1)}
       164:{3,6,7}:{(129,1),(196,1)}
       165:{2,4,6,7}:{(130,1),(136,1),(177,1),(202,1),(203,1),(250,1),(260,1),(299,1)}
       166:{1,2,4,6}:{(131,1),(132,1),(197,1),(204,1),(263,1),(269,1),(296,1),(311,1),(313,1)}
       167:{2,3,6}:{(131,1),(133,1),(204,1)}
       168:{1,3,5,7}:{(132,1),(133,1),(183,1),(204,1),(206,1),(207,1),(247,1),(270,1),(312,1)}
       169:{2,3,4,7}:{(133,1),(184,1),(205,1),(207,1),(260,1)}
       170:{1,2,6,7}:{(134,1),(185,1),(208,1),(311,1)}
       171:{2,3,6,7}:{(134,1),(135,1),(186,1),(208,1),(209,1),(294,1),(311,1)}
       172:{1,3,4,6,7}:{(135,1),(136,1),(137,1),(187,1),(202,1),(209,1),(210,1),(257,1)}
       173:{1,4,5,7}:{(136,1),(138,1),(203,1),(210,1),(211,1),(271,1)}
       174:{3,5,7}:{(137,1),(138,1),(212,1)}
       175:{2,4,5,6}:{(138,1),(194,1),(211,1),(212,1),(272,1),(313,1)}
       176:{2,4,7}:{(139,1),(142,1),(147,1),(214,1)}
       177:{2,4,7}:{(140,1),(143,1),(149,1),(215,1)}
       178:{2,5,7}:{(141,1),(144,1),(150,1),(217,1)}
       179:{1,2,4,6}:{(142,1),(145,1),(151,1),(213,1),(218,1),(227,1),(277,1)}
       180:{2,3,6}:{(142,1),(146,1),(214,1),(218,1)}
       181:{3,4,6}:{(143,1),(215,1),(220,1),(276,1)}
       182:{2,4,5}:{(143,1),(144,1),(154,1),(220,1)}
       183:{1,3,5}:{(145,1),(146,1),(218,1),(221,1),(222,1)}
       184:{2,3,4}:{(146,1),(222,1)}
       185:{1,2,5,7}:{(147,1),(151,1),(170,1),(213,1),(223,1),(304,1)}
       186:{2,3,5,7}:{(147,1),(148,1),(152,1),(171,1),(214,1),(223,1),(224,1),(245,1),(273,1),(304,1)}
       187:{1,3,4,7}:{(148,1),(149,1),(153,1),(155,1),(215,1),(224,1),(232,1),(282,1),(306,1)}
       188:{1,4,5,7}:{(149,1),(150,1),(154,1),(156,1),(216,1),(226,1)}
       189:{1,3,5,6}:{(150,1),(157,1),(217,1),(226,1),(276,1),(291,1),(305,1)}
       190:{1,3,5,6}:{(151,1),(152,1),(218,1),(223,1),(227,1),(278,1),(291,1),(305,1)}
       191:{2,4,6}:{(152,1),(153,1),(224,1),(227,1),(228,1)}
       192:{1,3,4,5}:{(153,1),(154,1),(158,1),(220,1),(228,1),(235,1),(278,1),(286,1),(309,1)}
       193:{3,4,5,7}:{(155,1),(156,1),(158,1),(174,1),(229,1)}
       194:{2,4,6}:{(156,1),(157,1),(226,1),(229,1)}
       195:{2,5,7}:{(159,1),(161,1),(163,1)}
       196:{3,5,7}:{(160,1),(162,1),(164,1),(232,1)}
       197:{1,2,5,6}:{(161,1),(166,1),(230,1),(233,1),(290,1),(291,1),(310,1)}
       198:{2,3,5,6}:{(161,1),(162,1),(167,1),(231,1),(233,1),(234,1),(242,1)}
       199:{3,4,6}:{(162,1),(232,1),(234,1),(235,1)}
       200:{1,2,4,6,7}:{(163,1),(166,1),(170,1),(213,1),(230,1),(236,1),(244,1),(282,1),(287,1)}
       201:{2,3,6,7}:{(163,1),(164,1),(167,1),(214,1),(231,1),(236,1)}
       202:{3,4,6,7}:{(164,1),(165,1),(215,1),(232,1),(238,1),(276,1),(284,1)}
       203:{2,4,5,7}:{(165,1),(173,1),(238,1),(239,1),(245,1)}
       204:{1,3,6}:{(166,1),(167,1),(168,1),(240,1),(314,1)}
       205:{2,3,4,6}:{(167,1),(169,1),(234,1),(241,1),(242,1)}
       206:{2,3,5,7}:{(168,1),(221,1),(240,1),(243,1),(273,1),(290,1),(304,1)}
       207:{1,3,4,7}:{(168,1),(169,1),(222,1),(241,1),(243,1),(282,1),(306,1)}
       208:{1,3,6,7}:{(170,1),(171,1),(223,1),(244,1),(305,1)}
       209:{2,4,6,7}:{(171,1),(172,1),(224,1),(244,1),(245,1),(280,1)}
       210:{1,3,5,7}:{(172,1),(173,1),(174,1),(238,1),(245,1),(246,1)}
       211:{1,4,5,6}:{(173,1),(175,1),(226,1),(239,1),(246,1),(291,1),(308,1)}
       212:{3,5,6}:{(174,1),(175,1),(229,1),(314,1)}
       213:{1,2,4,7}:{(176,1),(179,1),(185,1),(247,1),(255,1),(292,1)}
       214:{2,3,7}:{(176,1),(180,1),(247,1)}
       215:{3,4,7}:{(177,1),(181,1),(249,1)}
       216:{2,4,5,7}:{(177,1),(178,1),(182,1),(188,1),(249,1),(250,1)}
       217:{2,5,6}:{(178,1),(189,1),(250,1),(311,1)}
       218:{1,3,6}:{(179,1),(180,1),(183,1),(247,1),(251,1)}
       219:{2,3,4,6}:{(180,1),(181,1),(184,1),(191,1),(248,1),(252,1),(253,1),(294,1),(300,1)}
       220:{3,5}:{(181,1),(182,1)}
       221:{2,3,5}:{(183,1),(251,1),(254,1),(295,1)}
       222:{1,3,4}:{(183,1),(184,1),(254,1)}
       223:{1,3,5,7}:{(185,1),(186,1),(190,1),(208,1),(247,1),(255,1),(271,1)}
       224:{2,4,7}:{(186,1),(187,1),(191,1),(255,1)}
       225:{1,3,4,5,7}:{(187,1),(188,1),(192,1),(193,1),(210,1),(249,1),(256,1),(257,1),(261,1),(293,1),(298,1),(312,1)}
       226:{1,4,6}:{(188,1),(189,1),(194,1),(250,1)}
       227:{1,4,6}:{(190,1),(191,1),(255,1),(258,1)}
       228:{2,4,5}:{(191,1),(192,1),(253,1),(258,1),(295,1)}
       229:{3,4,6}:{(193,1),(194,1),(212,1)}
       230:{1,2,5,7}:{(195,1),(197,1),(200,1),(259,1),(271,1),(302,1)}
       231:{2,3,5,7}:{(195,1),(196,1),(198,1),(201,1),(259,1),(260,1)}
       232:{3,4,7}:{(196,1),(199,1),(260,1)}
       233:{1,3,5,6}:{(197,1),(198,1),(204,1),(259,1),(262,1),(263,1),(270,1)}
       234:{2,4,6}:{(198,1),(199,1),(260,1),(263,1),(264,1)}
       235:{3,4,5}:{(199,1),(264,1)}
       236:{1,3,6,7}:{(200,1),(201,1),(204,1),(247,1),(259,1),(265,1)}
       237:{2,3,4,6,7}:{(201,1),(202,1),(205,1),(209,1),(248,1),(260,1),(266,1),(267,1),(294,1),(299,1)}
       238:{3,5,7}:{(202,1),(203,1),(268,1)}
       239:{2,4,5,6}:{(203,1),(211,1),(250,1),(268,1),(272,1),(299,1)}
       240:{2,3,6}:{(204,1),(206,1),(269,1),(311,1)}
       241:{1,3,4,6}:{(204,1),(205,1),(207,1),(263,1),(269,1),(270,1),(300,1)}
       242:{2,3,5}:{(205,1),(264,1),(270,1)}
       243:{2,4,7}:{(206,1),(207,1),(254,1),(269,1)}
       244:{1,4,6,7}:{(208,1),(209,1),(255,1),(271,1),(296,1)}
       245:{2,5,7}:{(209,1),(210,1),(271,1),(272,1)}
       246:{1,3,5,6}:{(210,1),(211,1),(212,1),(257,1),(268,1),(272,1)}
       247:{1,3,7}:{(213,1),(214,1),(218,1),(273,1)}
       248:{2,3,4,7}:{(214,1),(215,1),(219,1),(224,1),(274,1),(275,1),(306,1)}
       249:{3,5,7}:{(215,1),(216,1),(220,1),(276,1)}
       250:{2,4,6}:{(216,1),(217,1),(226,1),(276,1)}
       251:{2,3,6}:{(218,1),(221,1),(273,1),(277,1)}
       252:{1,3,4,6}:{(218,1),(219,1),(222,1),(227,1),(274,1),(277,1),(278,1),(305,1)}
       253:{2,3,5}:{(219,1),(220,1),(228,1),(278,1),(309,1)}
       254:{2,4}:{(221,1),(222,1)}
       255:{1,4,7}:{(223,1),(224,1),(227,1)}
       256:{2,4,5,7}:{(224,1),(225,1),(228,1),(245,1),(275,1),(279,1),(280,1),(304,1)}
       257:{1,3,4,6}:{(225,1),(226,1),(229,1),(246,1),(276,1),(280,1),(284,1),(305,1),(308,1),(314,1)}
       258:{1,4,5}:{(227,1),(228,1),(278,1)}
       259:{1,3,5,7}:{(230,1),(231,1),(233,1),(236,1),(281,1),(282,1)}
       260:{2,4,7}:{(231,1),(232,1),(234,1),(282,1)}
       261:{3,4,5,7}:{(232,1),(235,1),(238,1),(283,1),(284,1)}
       262:{2,3,5,6}:{(233,1),(240,1),(281,1),(285,1),(290,1),(309,1),(310,1),(314,1)}
       263:{1,4,6}:{(233,1),(234,1),(282,1),(285,1),(286,1)}
       264:{2,4,5}:{(234,1),(235,1),(242,1),(286,1)}
       265:{2,3,6,7}:{(236,1),(240,1),(273,1),(281,1),(287,1),(314,1)}
       266:{1,3,4,6,7}:{(236,1),(237,1),(241,1),(244,1),(274,1),(282,1),(287,1),(288,1),(305,1),(306,1),(308,1),(314,1)}
       267:{2,3,5,7}:{(237,1),(238,1),(242,1),(245,1),(283,1),(288,1),(289,1)}
       268:{3,5,6}:{(238,1),(239,1),(276,1),(284,1)}
       269:{2,4,6}:{(240,1),(241,1),(243,1),(290,1)}
       270:{1,3,5}:{(241,1),(242,1),(286,1),(290,1),(309,1)}
       271:{1,5,7}:{(244,1),(245,1),(291,1)}
       272:{2,5,6}:{(245,1),(246,1),(280,1),(291,1)}
       273:{2,3,7}:{(247,1),(251,1),(292,1)}
       274:{1,3,4,7}:{(247,1),(248,1),(252,1),(255,1),(292,1),(293,1)}
       275:{2,3,5,7}:{(248,1),(249,1),(253,1),(256,1),(293,1),(294,1),(312,1)}
       276:{3,6}:{(249,1),(250,1)}
       277:{2,4,6}:{(251,1),(252,1),(254,1),(292,1),(295,1),(311,1)}
       278:{1,3,5}:{(252,1),(253,1),(258,1),(295,1)}
       279:{1,4,5,7}:{(255,1),(256,1),(258,1),(271,1),(293,1),(296,1)}
       280:{2,4,6}:{(256,1),(257,1),(272,1),(294,1),(296,1),(311,1)}
       281:{2,3,5,7}:{(259,1),(262,1),(265,1),(297,1),(302,1),(312,1)}
       282:{1,4,7}:{(259,1),(260,1),(263,1),(297,1)}
       283:{2,4,5,7}:{(260,1),(261,1),(264,1),(267,1),(298,1),(299,1)}
       284:{3,4,6}:{(261,1),(268,1),(299,1)}
       285:{2,4,6}:{(262,1),(263,1),(297,1),(300,1),(301,1)}
       286:{1,4,5}:{(263,1),(264,1),(270,1),(301,1)}
       287:{2,4,6,7}:{(265,1),(266,1),(269,1),(292,1),(297,1),(302,1),(311,1),(313,1)}
       288:{1,3,5,7}:{(266,1),(267,1),(270,1),(271,1),(298,1),(302,1),(303,1),(312,1)}
       289:{2,3,5,6}:{(267,1),(268,1),(272,1),(294,1),(299,1),(303,1)}
       290:{2,5}:{(269,1),(270,1)}
       291:{1,5,6}:{(271,1),(272,1),(296,1)}
       292:{2,4,7}:{(273,1),(274,1),(277,1),(304,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(279,1),(304,1),(305,1)}
       294:{2,3,6}:{(275,1),(276,1),(280,1),(305,1),(314,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{1,4,6}:{(279,1),(280,1),(291,1),(305,1)}
       297:{2,4,7}:{(281,1),(282,1),(285,1),(306,1)}
       298:{1,4,5,7}:{(282,1),(283,1),(286,1),(288,1),(307,1),(308,1)}
       299:{2,4,6}:{(283,1),(284,1),(289,1),(308,1)}
       300:{3,4,6}:{(285,1),(306,1),(309,1),(314,1)}
       301:{2,4,5}:{(285,1),(286,1),(290,1),(309,1)}
       302:{2,5,7}:{(287,1),(288,1),(290,1),(310,1)}
       303:{1,3,5,6}:{(288,1),(289,1),(291,1),(305,1),(308,1),(310,1),(314,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,6}:{(293,1),(294,1),(296,1),(311,1)}
       306:{3,4,7}:{(297,1),(300,1),(312,1)}
       307:{2,4,5,7}:{(297,1),(298,1),(301,1),(302,1),(312,1),(313,1)}
       308:{1,4,6}:{(298,1),(299,1),(303,1),(313,1)}
       309:{3,5}:{(300,1),(301,1)}
       310:{2,5,6}:{(302,1),(303,1),(311,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{3,5,7}:{(306,1),(307,1),(309,1),(314,1)}
       313:{2,4,6}:{(307,1),(308,1),(310,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2293 :   0:{2,3,4,5,7}:{(2,1),(3,1),(26,1),(63,1),(137,1),(151,1),(158,1),(162,1),(227,1),(242,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(37,1),(40,1),(212,1),(213,1),(285,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(37,1),(47,1),(101,1),(110,1),(185,1),(195,1),(197,1),(209,1),(287,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(96,1),(181,1),(203,1),(208,1)}
         4:{1,2,3,6,7}:{(6,1),(12,1),(13,1),(99,1),(121,1),(210,1),(213,1),(304,1),(305,1),(377,1)}
         5:{1,2,4,7}:{(1,1),(17,1),(19,1),(328,1)}
         6:{1,2,3,6}:{(1,1),(19,1),(66,1),(259,1)}
         7:{2,3,4,7}:{(17,1),(21,1),(22,1),(149,1),(331,1)}
         8:{2,4,5,7}:{(2,1),(21,1),(23,1),(75,1),(76,1),(149,1),(244,1),(329,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(23,1),(25,1),(66,1),(141,1),(150,1),(256,1)}
        10:{2,3,4,6,7}:{(3,1),(24,1),(26,1),(33,1),(135,1),(172,1),(227,1),(242,1),(249,1),(255,1)}
        11:{2,3,5,6}:{(3,1),(25,1),(26,1),(27,1),(248,1),(254,1)}
        12:{1,2,4,6,7}:{(4,1),(19,1),(28,1),(29,1),(30,1),(85,1),(166,1),(255,1),(259,1),(346,1)}
        13:{1,2,3,5,7}:{(4,1),(20,1),(29,1),(30,1),(86,1),(140,1),(236,1),(327,1),(392,1),(401,1)}
        14:{2,3,4,6,7}:{(22,1),(28,1),(31,1),(73,1),(87,1),(89,1),(149,1),(164,1),(169,1),(255,1),(399,1),(400,1),(422,1)}
        15:{2,3,5,6,7}:{(26,1),(32,1),(33,1),(35,1),(94,1),(172,1)}
        16:{2,4,5,6,7}:{(33,1),(34,1),(35,1),(94,1),(247,1),(270,1)}
        17:{1,3,4,7}:{(5,1),(7,1),(36,1),(37,1),(38,1),(185,1),(363,1)}
        18:{1,2,4,5,7}:{(5,1),(8,1),(37,1),(39,1),(40,1),(95,1),(101,1),(102,1),(185,1),(209,1),(212,1),(282,1),(361,1)}
        19:{1,2,4,6}:{(5,1),(6,1),(38,1),(40,1)}
        20:{1,2,3,5,6}:{(6,1),(13,1),(40,1),(41,1),(53,1),(100,1),(104,1),(121,1),(189,1),(284,1),(285,1),(305,1),(362,1),(376,1),(379,1)}
        21:{2,3,5,7}:{(7,1),(8,1),(37,1),(43,1),(44,1),(289,1),(364,1)}
        22:{2,3,4,6}:{(7,1),(38,1),(43,1),(44,1),(109,1)}
        23:{2,4,6}:{(8,1),(9,1),(43,1),(46,1)}
        24:{1,3,4,6,7}:{(9,1),(10,1),(45,1),(47,1),(59,1),(99,1),(128,1),(185,1),(195,1),(220,1),(287,1),(301,1)}
        25:{1,3,5,6}:{(9,1),(11,1),(46,1),(47,1),(48,1),(112,1),(300,1)}
        26:{2,3,5,7}:{(10,1),(11,1),(47,1),(49,1),(293,1),(299,1)}
        27:{2,4,5,6}:{(11,1),(48,1),(49,1),(50,1),(181,1)}
        28:{1,3,4,6,7}:{(12,1),(14,1),(38,1),(51,1),(52,1),(55,1),(99,1),(118,1),(121,1),(123,1),(185,1),(211,1),(301,1),(377,1),(378,1),(416,1)}
        29:{1,2,5,7}:{(12,1),(40,1),(52,1),(53,1),(299,1),(379,1)}
        30:{1,2,4,7}:{(13,1),(41,1),(55,1),(185,1),(280,1),(416,1)}
        31:{2,3,5,7}:{(14,1),(44,1),(52,1),(56,1),(57,1),(215,1),(299,1),(415,1)}
        32:{1,3,5,6,7}:{(15,1),(47,1),(58,1),(59,1),(128,1),(133,1),(220,1)}
        33:{2,4,6,7}:{(15,1),(49,1),(59,1),(60,1)}
        34:{1,4,5,6,7}:{(16,1),(59,1),(61,1),(62,1),(133,1),(205,1),(223,1)}
        35:{3,5,6,7}:{(16,1),(60,1),(293,1),(314,1)}
        36:{2,3,4,7}:{(17,1),(63,1),(64,1),(227,1),(390,1)}
        37:{1,3,5,7}:{(17,1),(18,1),(21,1),(63,1),(66,1),(67,1),(326,1),(392,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(22,1),(64,1),(66,1),(67,1),(141,1)}
        39:{1,2,4,6}:{(18,1),(23,1),(66,1),(69,1),(134,1),(141,1),(256,1),(259,1)}
        40:{1,2,5}:{(19,1),(67,1)}
        41:{1,2,4,6}:{(20,1),(30,1),(70,1),(71,1),(141,1),(234,1),(328,1),(402,1)}
        42:{2,3,4,5,7}:{(21,1),(65,1),(72,1),(75,1),(90,1),(147,1),(149,1),(162,1),(229,1),(318,1)}
        43:{2,3,6}:{(21,1),(23,1),(66,1)}
        44:{2,3,5}:{(22,1),(67,1),(75,1)}
        45:{2,4,6,7}:{(23,1),(24,1),(73,1),(76,1),(149,1),(267,1),(329,1)}
        46:{2,5,6}:{(23,1),(25,1),(76,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(26,1),(76,1),(78,1),(152,1),(341,1)}
        48:{1,4,5,6}:{(25,1),(27,1),(77,1),(78,1),(141,1)}
        49:{2,4,5,7}:{(26,1),(27,1),(33,1),(78,1),(80,1),(227,1)}
        50:{3,4,5,6}:{(27,1),(80,1),(228,1),(248,1)}
        51:{2,3,4,6,7}:{(28,1),(64,1),(81,1),(87,1),(135,1),(157,1),(164,1),(227,1),(249,1),(255,1),(349,1),(350,1),(404,1)}
        52:{1,3,5,7}:{(28,1),(29,1),(31,1),(67,1),(81,1),(82,1),(83,1),(341,1),(403,1)}
        53:{1,2,5,6}:{(29,1),(82,1),(85,1),(254,1),(259,1)}
        54:{1,2,4,5,7}:{(29,1),(30,1),(70,1),(83,1),(85,1),(86,1),(162,1)}
        55:{1,3,4,7}:{(30,1),(71,1),(86,1),(87,1),(392,1)}
        56:{2,3,5,6}:{(31,1),(82,1),(89,1),(164,1),(168,1),(254,1)}
        57:{2,4,5,7}:{(31,1),(75,1),(83,1),(89,1),(90,1),(149,1),(422,1),(423,1)}
        58:{2,5,6,7}:{(32,1),(76,1),(91,1),(267,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(78,1),(91,1)}
        60:{3,4,6,7}:{(33,1),(35,1),(80,1)}
        61:{2,4,5,6,7}:{(34,1),(91,1),(93,1),(94,1),(167,1),(176,1)}
        62:{1,3,5,6,7}:{(34,1),(35,1),(92,1),(93,1),(94,1),(253,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(95,1),(96,1),(97,1),(358,1),(408,1)}
        64:{2,3,4,6}:{(36,1),(38,1),(96,1),(97,1),(181,1)}
        65:{1,3,4,5,7}:{(37,1),(42,1),(95,1),(98,1),(101,1),(182,1),(183,1),(185,1),(209,1),(274,1),(276,1),(356,1)}
        66:{1,3,6}:{(37,1),(39,1),(43,1),(96,1)}
        67:{1,3,5}:{(38,1),(40,1),(44,1),(97,1),(101,1)}
        68:{1,2,4,6,7}:{(39,1),(45,1),(99,1),(102,1),(178,1),(185,1),(301,1),(304,1),(361,1)}
        69:{1,2,5,6}:{(39,1),(40,1),(46,1),(100,1),(102,1),(179,1),(300,1)}
        70:{1,2,4,5}:{(40,1),(41,1),(101,1),(104,1),(187,1),(379,1),(417,1)}
        71:{1,3,4,6}:{(41,1),(55,1),(104,1),(105,1),(121,1),(362,1),(363,1)}
        72:{2,3,4,6}:{(42,1),(43,1),(98,1),(107,1),(109,1),(126,1),(208,1)}
        73:{2,3,6,7}:{(43,1),(45,1),(99,1),(108,1),(128,1),(364,1)}
        74:{2,3,5,6}:{(43,1),(44,1),(46,1),(100,1),(108,1),(109,1),(112,1)}
        75:{2,4,5}:{(44,1),(101,1),(109,1),(110,1)}
        76:{2,5,7}:{(45,1),(46,1),(47,1)}
        77:{2,4,5,6}:{(46,1),(48,1),(109,1),(111,1),(112,1)}
        78:{1,4,5,7}:{(47,1),(48,1),(49,1),(59,1),(111,1),(185,1)}
        79:{1,3,4,5,6}:{(48,1),(50,1),(112,1),(113,1),(114,1),(130,1),(186,1),(199,1),(206,1),(222,1),(313,1)}
        80:{3,4,5,7}:{(49,1),(50,1),(60,1),(274,1),(293,1)}
        81:{2,3,5,7}:{(51,1),(52,1),(97,1),(115,1),(116,1),(293,1),(299,1),(382,1)}
        82:{1,3,5,6}:{(52,1),(53,1),(56,1),(115,1),(118,1),(121,1),(211,1),(300,1)}
        83:{1,4,5,7}:{(52,1),(57,1),(101,1),(116,1),(118,1),(185,1),(416,1),(417,1)}
        84:{1,2,5,6,7}:{(53,1),(58,1),(102,1),(117,1),(120,1),(133,1),(224,1),(271,1),(299,1),(304,1),(374,1),(375,1),(412,1)}
        85:{1,2,4,6}:{(53,1),(54,1),(118,1),(121,1),(208,1)}
        86:{1,3,5,7}:{(54,1),(55,1),(104,1),(121,1),(122,1)}
        87:{2,3,4,7}:{(55,1),(105,1),(122,1),(123,1),(280,1),(364,1),(408,1)}
        88:{2,3,5,6,7}:{(56,1),(58,1),(108,1),(117,1),(125,1),(128,1),(210,1),(215,1),(299,1),(412,1),(413,1),(424,1)}
        89:{2,4,6}:{(56,1),(57,1),(118,1),(126,1)}
        90:{3,4,5,7}:{(57,1),(110,1),(126,1),(195,1),(215,1),(425,1),(426,1)}
        91:{2,4,6,7}:{(58,1),(59,1),(111,1),(128,1)}
        92:{1,3,4,6,7}:{(59,1),(60,1),(62,1),(113,1),(128,1),(129,1),(131,1),(220,1),(223,1),(314,1)}
        93:{3,5,6,7}:{(61,1),(128,1),(131,1),(215,1)}
        94:{2,5,6,7}:{(62,1),(129,1),(133,1),(299,1)}
        95:{2,4,5,7}:{(63,1),(65,1),(134,1),(137,1),(225,1),(227,1),(320,1),(388,1)}
        96:{2,3,6}:{(63,1),(66,1),(134,1)}
        97:{2,3,5}:{(64,1),(67,1),(137,1)}
        98:{1,3,4,6}:{(65,1),(66,1),(72,1),(134,1),(139,1),(141,1),(228,1),(256,1)}
        99:{1,3,6,7}:{(66,1),(68,1),(73,1),(135,1),(140,1),(392,1)}
       100:{1,3,5,6}:{(66,1),(67,1),(69,1),(74,1),(136,1),(140,1),(141,1)}
       101:{1,4,5}:{(67,1),(75,1),(137,1),(141,1)}
       102:{1,2,5,7}:{(68,1),(69,1),(76,1),(140,1),(225,1),(341,1)}
       103:{1,2,4,5,6}:{(69,1),(70,1),(77,1),(85,1),(141,1),(143,1),(144,1),(155,1),(159,1),(226,1),(234,1),(246,1),(254,1),(269,1),(323,1),(325,1),(342,1),(387,1),(395,1),(402,1)}
       104:{1,3,5}:{(70,1),(71,1),(145,1)}
       105:{2,3,4,6}:{(71,1),(87,1),(145,1),(146,1),(164,1),(234,1),(330,1),(331,1),(389,1),(390,1)}
       106:{2,3,4,6,7}:{(72,1),(73,1),(138,1),(147,1),(149,1),(169,1),(240,1),(255,1),(318,1),(385,1)}
       107:{2,3,5,6}:{(72,1),(139,1),(147,1),(148,1),(168,1),(254,1)}
       108:{2,3,5,7}:{(73,1),(74,1),(76,1),(140,1),(149,1),(152,1)}
       109:{2,4,6}:{(74,1),(75,1),(141,1),(149,1),(150,1)}
       110:{3,4,5}:{(75,1),(150,1)}
       111:{2,4,5,7}:{(76,1),(77,1),(78,1),(91,1),(149,1),(152,1)}
       112:{3,5,6}:{(77,1),(150,1),(152,1)}
       113:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(92,1),(152,1),(154,1),(174,1),(233,1),(245,1),(253,1),(268,1),(351,1)}
       114:{2,4,5,6}:{(79,1),(153,1),(154,1),(155,1),(234,1),(246,1),(254,1)}
       115:{2,3,5,6}:{(81,1),(82,1),(157,1),(164,1),(248,1),(254,1)}
       116:{2,4,5,7}:{(81,1),(83,1),(137,1),(157,1),(158,1),(227,1),(404,1),(405,1)}
       117:{1,3,5,6,7}:{(82,1),(84,1),(88,1),(140,1),(156,1),(160,1),(163,1),(253,1),(258,1),(341,1),(401,1)}
       118:{1,4,6}:{(82,1),(83,1),(89,1),(157,1)}
       119:{1,3,4,5,7}:{(83,1),(86,1),(90,1),(142,1),(158,1),(161,1),(162,1),(233,1),(253,1)}
       120:{1,2,4,6,7}:{(84,1),(85,1),(91,1),(143,1),(160,1),(163,1),(173,1),(255,1),(267,1),(270,1),(315,1),(391,1),(418,1),(419,1)}
       121:{1,3,6}:{(85,1),(86,1),(164,1)}
       122:{2,3,5,7}:{(86,1),(87,1),(145,1),(162,1),(164,1),(165,1)}
       123:{1,3,4,7}:{(87,1),(146,1),(165,1),(166,1),(324,1),(392,1)}
       124:{2,4,5,6}:{(89,1),(159,1),(167,1),(168,1),(254,1)}
       125:{2,4,6,7}:{(88,1),(89,1),(149,1),(160,1),(167,1),(169,1),(422,1)}
       126:{3,4,6}:{(89,1),(90,1),(168,1)}
       127:{2,3,4,5,7}:{(90,1),(151,1),(162,1),(170,1),(171,1),(242,1),(262,1),(339,1),(422,1),(423,1)}
       128:{3,6,7}:{(91,1),(152,1)}
       129:{2,4,6,7}:{(92,1),(94,1),(154,1),(172,1),(173,1),(267,1)}
       130:{3,4,5,6}:{(168,1),(174,1),(175,1),(421,1)}
       131:{3,4,6,7}:{(93,1),(174,1),(176,1)}
       132:{2,3,5,6,7}:{(93,1),(94,1),(172,1),(176,1),(177,1),(262,1)}
       133:{1,5,6,7}:{(94,1),(173,1),(341,1)}
       134:{2,4,6}:{(95,1),(96,1),(98,1),(179,1)}
       135:{2,3,6,7}:{(96,1),(99,1),(178,1),(180,1),(353,1),(408,1)}
       136:{2,3,5,6}:{(96,1),(97,1),(100,1),(179,1),(180,1),(181,1),(273,1)}
       137:{2,4,5}:{(97,1),(101,1),(181,1),(182,1)}
       138:{1,3,4,6,7}:{(98,1),(99,1),(106,1),(178,1),(183,1),(185,1),(274,1),(277,1),(301,1),(353,1),(356,1),(406,1)}
       139:{1,3,5,6}:{(98,1),(107,1),(179,1),(183,1),(184,1),(273,1),(300,1)}
       140:{1,3,5,7}:{(99,1),(100,1),(102,1),(108,1),(180,1),(185,1)}
       141:{1,4,6}:{(100,1),(101,1),(109,1),(181,1),(185,1)}
       142:{1,3,4,5}:{(101,1),(104,1),(110,1),(182,1),(186,1),(187,1),(384,1),(417,1),(426,1)}
       143:{1,2,4,5,7}:{(102,1),(103,1),(111,1),(120,1),(185,1),(188,1),(200,1),(205,1),(272,1),(280,1),(290,1),(299,1),(312,1),(360,1),(361,1),(375,1),(407,1),(410,1),(416,1)}
       144:{1,3,5,6}:{(103,1),(104,1),(112,1),(121,1),(186,1),(188,1),(189,1),(273,1),(313,1),(362,1),(411,1)}
       145:{2,3,5}:{(104,1),(105,1),(187,1),(190,1)}
       146:{1,3,4,6}:{(105,1),(123,1),(190,1),(191,1),(211,1),(281,1),(362,1),(363,1)}
       147:{2,3,5,7}:{(106,1),(107,1),(183,1),(193,1),(215,1),(299,1)}
       148:{2,4,5,6}:{(107,1),(109,1),(184,1),(193,1),(194,1)}
       149:{2,4,7}:{(108,1),(109,1),(185,1),(195,1)}
       150:{3,4,6}:{(109,1),(110,1),(112,1),(195,1)}
       151:{2,3,4,5}:{(110,1),(187,1),(196,1),(197,1),(358,1),(384,1)}
       152:{3,5,7}:{(111,1),(112,1),(128,1),(195,1)}
       153:{2,3,5,6}:{(112,1),(114,1),(196,1),(198,1),(199,1),(313,1)}
       154:{2,4,5,7}:{(113,1),(114,1),(129,1),(198,1),(200,1),(280,1),(290,1),(299,1)}
       155:{1,4,5,6}:{(114,1),(199,1),(200,1),(281,1),(300,1)}
       156:{2,3,5,6,7}:{(115,1),(117,1),(180,1),(202,1),(210,1),(224,1),(271,1),(293,1),(299,1),(314,1),(353,1),(380,1)}
       157:{2,4,6}:{(115,1),(116,1),(118,1),(203,1)}
       158:{3,4,5,7}:{(116,1),(182,1),(203,1),(274,1),(293,1),(383,1),(384,1)}
       159:{1,4,5,6}:{(118,1),(124,1),(201,1),(205,1),(206,1),(300,1)}
       160:{1,4,6,7}:{(117,1),(118,1),(125,1),(185,1),(202,1),(205,1),(416,1)}
       161:{1,3,4,6}:{(118,1),(119,1),(121,1),(126,1),(203,1),(206,1),(208,1)}
       162:{2,4,5,7}:{(119,1),(122,1),(187,1),(208,1),(209,1),(280,1),(299,1)}
       163:{1,3,6,7}:{(120,1),(121,1),(128,1),(188,1),(210,1),(314,1),(353,1),(424,1)}
       164:{2,3,6}:{(121,1),(122,1),(208,1),(211,1)}
       165:{1,3,5,7}:{(122,1),(123,1),(190,1),(209,1),(211,1),(212,1)}
       166:{1,2,4,7}:{(123,1),(191,1),(212,1),(213,1)}
       167:{2,4,5,7}:{(124,1),(125,1),(205,1),(215,1),(299,1)}
       168:{3,5,6}:{(124,1),(126,1),(215,1)}
       169:{3,4,6,7}:{(125,1),(126,1),(128,1),(195,1),(215,1),(424,1),(425,1)}
       170:{2,3,4,6}:{(126,1),(127,1),(208,1),(216,1),(218,1),(372,1),(414,1)}
       171:{1,3,4,5,7}:{(127,1),(197,1),(209,1),(218,1),(219,1),(287,1),(303,1),(307,1),(383,1),(384,1),(416,1),(417,1)}
       172:{2,3,6,7}:{(128,1),(129,1),(198,1),(220,1),(314,1)}
       173:{1,4,6,7}:{(129,1),(133,1),(200,1),(220,1)}
       174:{3,4,5,7}:{(130,1),(131,1),(215,1),(221,1),(425,1)}
       175:{2,4,5,6}:{(130,1),(216,1),(221,1),(222,1),(414,1)}
       176:{2,4,6,7}:{(131,1),(132,1),(221,1),(223,1)}
       177:{1,3,5,6,7}:{(132,1),(133,1),(220,1),(223,1),(224,1),(307,1),(314,1)}
       178:{2,4,6,7}:{(134,1),(135,1),(138,1),(225,1),(227,1),(388,1),(418,1)}
       179:{2,5,6}:{(134,1),(139,1),(225,1)}
       180:{2,3,5,7}:{(135,1),(136,1),(140,1),(225,1),(227,1),(316,1)}
       181:{2,4,6}:{(136,1),(137,1),(141,1),(227,1),(228,1)}
       182:{3,4,5}:{(137,1),(228,1)}
       183:{1,3,5,7}:{(138,1),(139,1),(147,1),(225,1),(231,1),(316,1),(341,1)}
       184:{1,4,5,6}:{(139,1),(141,1),(148,1),(226,1),(231,1)}
       185:{1,4,7}:{(140,1),(141,1),(149,1),(227,1)}
       186:{1,3,4,6}:{(141,1),(142,1),(144,1),(150,1),(228,1),(233,1),(234,1),(352,1),(402,1),(421,1)}
       187:{2,4,5}:{(142,1),(145,1),(234,1),(235,1)}
       188:{1,3,5,7}:{(143,1),(144,1),(152,1),(163,1),(233,1),(236,1),(316,1),(351,1),(392,1),(420,1)}
       189:{2,3,5,6}:{(144,1),(145,1),(164,1),(234,1),(236,1),(237,1),(246,1),(254,1),(330,1),(387,1),(389,1)}
       190:{1,3,5}:{(145,1),(146,1),(235,1),(238,1)}
       191:{1,2,4,6}:{(146,1),(166,1),(238,1),(239,1),(259,1),(328,1)}
       192:{2,3,5,6,7}:{(147,1),(230,1),(240,1),(261,1),(340,1),(385,1)}
       193:{2,4,5,7}:{(147,1),(148,1),(149,1),(231,1),(240,1),(241,1)}
       194:{3,4,5,6}:{(148,1),(150,1),(168,1),(241,1)}
       195:{3,4,7}:{(149,1),(150,1),(152,1)}
       196:{2,3,4,6}:{(150,1),(151,1),(153,1),(234,1),(242,1),(243,1),(352,1),(389,1)}
       197:{1,3,4,5}:{(151,1),(235,1),(243,1),(244,1),(326,1)}
       198:{2,3,5,7}:{(152,1),(153,1),(154,1),(172,1),(242,1),(245,1),(351,1)}
       199:{1,3,5,6}:{(153,1),(155,1),(243,1),(245,1),(246,1)}
       200:{1,4,5,7}:{(154,1),(155,1),(173,1),(245,1),(324,1),(341,1)}
       201:{2,4,5,6}:{(157,1),(159,1),(247,1),(248,1),(254,1)}
       202:{2,4,6,7}:{(156,1),(157,1),(160,1),(227,1),(247,1),(249,1),(404,1)}
       203:{3,4,6}:{(157,1),(158,1),(248,1)}
       204:{2,3,4,5,7}:{(158,1),(162,1),(229,1),(250,1),(251,1),(266,1),(318,1),(335,1),(404,1),(405,1)}
       205:{1,4,5,7}:{(159,1),(160,1),(167,1),(247,1),(253,1),(341,1)}
       206:{1,3,5,6}:{(159,1),(161,1),(168,1),(248,1),(253,1),(254,1)}
       207:{1,3,4,6,7}:{(160,1),(161,1),(163,1),(169,1),(233,1),(249,1),(253,1),(255,1)}
       208:{2,4,6}:{(161,1),(162,1),(164,1),(254,1),(256,1)}
       209:{1,4,5,7}:{(162,1),(165,1),(235,1),(256,1),(324,1),(341,1)}
       210:{2,3,6,7}:{(163,1),(164,1),(236,1),(255,1),(258,1),(267,1),(418,1)}
       211:{1,3,6}:{(164,1),(165,1),(256,1),(259,1)}
       212:{1,2,5,7}:{(165,1),(166,1),(238,1),(259,1)}
       213:{1,2,3,7}:{(166,1),(239,1),(392,1)}
       214:{2,4,5,6,7}:{(167,1),(240,1),(252,1),(261,1),(340,1),(419,1)}
       215:{3,5,7}:{(167,1),(168,1),(169,1)}
       216:{2,3,5,6}:{(168,1),(170,1),(175,1),(254,1),(262,1),(263,1)}
       217:{2,3,4,6,7}:{(169,1),(170,1),(172,1),(176,1),(242,1),(255,1),(262,1),(264,1),(399,1),(422,1)}
       218:{1,3,4,6}:{(170,1),(171,1),(256,1),(263,1),(265,1),(344,1),(352,1),(402,1)}
       219:{2,4,5,7}:{(171,1),(244,1),(265,1),(266,1),(329,1),(347,1),(404,1),(405,1)}
       220:{1,3,6,7}:{(172,1),(173,1),(245,1),(267,1)}
       221:{2,4,5,7}:{(174,1),(175,1),(176,1),(262,1),(268,1),(422,1)}
       222:{1,4,5,6}:{(175,1),(263,1),(268,1),(269,1),(402,1)}
       223:{1,4,6,7}:{(176,1),(177,1),(268,1),(270,1)}
       224:{2,5,6,7}:{(177,1),(267,1),(270,1),(347,1)}
       225:{2,5,7}:{(178,1),(179,1),(183,1)}
       226:{2,4,5,6}:{(179,1),(181,1),(184,1),(272,1),(273,1)}
       227:{2,4,7}:{(180,1),(181,1),(185,1),(274,1)}
       228:{3,4,6}:{(181,1),(182,1),(273,1),(274,1)}
       229:{2,3,4,5}:{(182,1),(187,1),(275,1),(276,1),(289,1),(426,1)}
       230:{1,3,5,6,7}:{(183,1),(192,1),(271,1),(277,1),(353,1),(374,1),(406,1)}
       231:{1,4,5,7}:{(183,1),(184,1),(185,1),(193,1),(272,1),(277,1)}
       232:{1,3,4,5,6}:{(184,1),(186,1),(194,1),(206,1),(273,1),(278,1),(279,1),(291,1),(355,1),(367,1),(411,1)}
       233:{1,3,4,7}:{(185,1),(186,1),(188,1),(195,1),(274,1),(280,1),(383,1),(416,1),(425,1)}
       234:{2,4,6}:{(186,1),(187,1),(189,1),(280,1),(281,1)}
       235:{1,4,5}:{(187,1),(190,1),(281,1)}
       236:{2,3,5,7}:{(188,1),(189,1),(210,1),(280,1),(283,1),(290,1),(299,1),(364,1),(407,1),(408,1)}
       237:{1,3,5,6}:{(189,1),(190,1),(211,1),(281,1),(283,1),(284,1),(300,1),(362,1)}
       238:{1,2,5}:{(190,1),(191,1)}
       239:{1,2,3,6}:{(191,1),(213,1),(285,1),(362,1)}
       240:{2,4,6,7}:{(192,1),(193,1),(277,1),(286,1)}
       241:{3,4,5,7}:{(193,1),(194,1),(195,1),(215,1),(286,1)}
       242:{2,3,4,7}:{(195,1),(196,1),(198,1),(280,1),(287,1),(383,1),(408,1)}
       243:{1,3,4,6}:{(196,1),(197,1),(199,1),(281,1),(287,1),(288,1),(362,1)}
       244:{2,4,5}:{(197,1),(288,1),(289,1)}
       245:{1,3,5,7}:{(198,1),(199,1),(200,1),(220,1),(287,1),(290,1)}
       246:{2,5,6}:{(199,1),(288,1),(290,1)}
       247:{2,4,5,7}:{(201,1),(202,1),(205,1),(293,1),(299,1)}
       248:{3,5,6}:{(201,1),(203,1),(293,1)}
       249:{3,4,6,7}:{(202,1),(203,1),(274,1),(293,1),(314,1),(353,1),(383,1)}
       250:{2,3,4,6}:{(203,1),(204,1),(208,1),(294,1),(296,1),(310,1),(381,1)}
       251:{1,3,4,5,7}:{(204,1),(209,1),(276,1),(296,1),(297,1),(303,1),(356,1),(369,1),(416,1),(417,1),(425,1),(426,1)}
       252:{1,4,5,6,7}:{(205,1),(214,1),(277,1),(292,1),(298,1),(374,1),(409,1)}
       253:{1,3,5,7}:{(205,1),(206,1),(207,1),(215,1),(293,1),(299,1)}
       254:{2,5,6}:{(206,1),(208,1),(299,1),(300,1)}
       255:{2,4,6,7}:{(207,1),(208,1),(210,1),(280,1),(299,1),(301,1)}
       256:{1,4,6}:{(208,1),(209,1),(211,1),(300,1)}
       257:{1,2,4,5,7}:{(209,1),(212,1),(219,1),(282,1),(297,1),(302,1),(303,1),(306,1),(361,1),(375,1),(379,1),(416,1),(417,1)}
       258:{1,3,6,7}:{(210,1),(211,1),(283,1),(301,1),(304,1)}
       259:{1,2,6}:{(211,1),(212,1)}
       260:{1,2,3,5,7}:{(212,1),(213,1),(285,1),(303,1),(305,1),(306,1),(379,1)}
       261:{3,5,6,7}:{(214,1),(215,1),(286,1),(424,1)}
       262:{2,3,5,7}:{(215,1),(216,1),(217,1),(221,1),(299,1),(307,1)}
       263:{1,3,5,6}:{(216,1),(218,1),(222,1),(300,1),(307,1),(308,1),(313,1)}
       264:{1,3,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(287,1),(301,1),(307,1),(309,1),(314,1),(377,1),(383,1),(416,1)}
       265:{2,4,6}:{(218,1),(219,1),(308,1),(310,1)}
       266:{2,3,5,7}:{(219,1),(289,1),(303,1),(310,1),(311,1),(364,1),(382,1)}
       267:{2,6,7}:{(220,1),(290,1)}
       268:{1,4,5,7}:{(221,1),(222,1),(223,1),(307,1),(312,1),(416,1)}
       269:{2,4,5,6}:{(222,1),(308,1),(312,1),(313,1),(381,1)}
       270:{2,4,6,7}:{(223,1),(224,1),(312,1),(314,1)}
       271:{2,5,6,7}:{(225,1),(230,1),(315,1),(418,1)}
       272:{2,4,5,7}:{(225,1),(226,1),(227,1),(231,1),(315,1),(316,1)}
       273:{3,5,6}:{(226,1),(228,1),(316,1)}
       274:{3,4,7}:{(227,1),(228,1),(316,1)}
       275:{2,3,4,6}:{(228,1),(229,1),(234,1),(317,1),(318,1),(319,1),(330,1),(421,1)}
       276:{1,3,4,5}:{(229,1),(235,1),(319,1),(320,1),(326,1)}
       277:{1,4,6,7}:{(230,1),(231,1),(240,1),(315,1)}
       278:{1,3,4,5,7}:{(231,1),(232,1),(233,1),(241,1),(253,1),(316,1),(321,1),(322,1),(332,1),(386,1),(394,1),(420,1)}
       279:{2,4,5,6}:{(232,1),(234,1),(254,1),(317,1),(322,1),(323,1),(387,1)}
       280:{2,4,7}:{(233,1),(234,1),(236,1),(324,1)}
       281:{1,4,6}:{(234,1),(235,1),(237,1),(324,1)}
       282:{1,2,4,5}:{(235,1),(238,1),(244,1),(320,1),(325,1),(326,1),(328,1)}
       283:{1,3,5,7}:{(236,1),(237,1),(258,1),(324,1),(327,1),(341,1),(392,1)}
       284:{1,2,5,6}:{(237,1),(238,1),(246,1),(259,1),(325,1),(327,1),(387,1)}
       285:{1,2,3,5}:{(238,1),(239,1),(326,1),(328,1)}
       286:{3,4,6,7}:{(240,1),(241,1),(261,1)}
       287:{1,3,4,7}:{(242,1),(243,1),(245,1),(324,1),(329,1),(392,1)}
       288:{2,4,6}:{(243,1),(244,1),(246,1),(329,1),(330,1)}
       289:{2,3,5}:{(244,1),(326,1),(330,1),(331,1)}
       290:{2,5,7}:{(245,1),(246,1),(267,1),(329,1)}
       291:{3,4,5,6}:{(248,1),(332,1),(333,1),(352,1)}
       292:{2,4,5,6,7}:{(247,1),(252,1),(315,1),(334,1),(340,1),(393,1)}
       293:{3,5,7}:{(247,1),(248,1),(249,1)}
       294:{2,3,5,6}:{(248,1),(250,1),(254,1),(333,1),(335,1),(336,1)}
       295:{2,3,4,6,7}:{(249,1),(250,1),(255,1),(318,1),(335,1),(337,1),(349,1),(385,1),(393,1),(404,1)}
       296:{1,3,4,6}:{(250,1),(251,1),(256,1),(336,1),(338,1),(344,1),(402,1),(421,1)}
       297:{2,4,5,7}:{(251,1),(320,1),(338,1),(339,1),(388,1),(397,1),(422,1),(423,1)}
       298:{1,3,5,6,7}:{(252,1),(253,1),(261,1),(321,1),(334,1),(340,1)}
       299:{2,5,7}:{(253,1),(254,1),(255,1),(341,1)}
       300:{1,5,6}:{(254,1),(256,1),(341,1)}
       301:{1,4,6,7}:{(255,1),(256,1),(258,1),(324,1),(341,1)}
       302:{1,2,4,6}:{(256,1),(257,1),(259,1),(265,1),(338,1),(342,1),(344,1),(402,1)}
       303:{1,3,5,7}:{(257,1),(266,1),(326,1),(339,1),(344,1),(345,1),(392,1),(403,1)}
       304:{1,2,6,7}:{(258,1),(259,1),(267,1),(327,1),(418,1)}
       305:{1,2,3,6}:{(259,1),(260,1),(344,1),(346,1)}
       306:{1,2,4,7}:{(260,1),(328,1),(345,1),(346,1)}
       307:{1,3,5,7}:{(262,1),(263,1),(264,1),(268,1),(341,1),(347,1),(351,1)}
       308:{2,5,6}:{(263,1),(265,1),(347,1)}
       309:{2,4,6,7}:{(264,1),(265,1),(267,1),(329,1),(347,1),(349,1),(404,1)}
       310:{2,3,6}:{(265,1),(266,1),(344,1)}
       311:{2,3,4,7}:{(266,1),(331,1),(345,1),(350,1),(404,1)}
       312:{2,4,5,7}:{(268,1),(269,1),(270,1),(347,1),(351,1),(404,1)}
       313:{3,5,6}:{(269,1),(351,1),(352,1)}
       314:{3,6,7}:{(270,1),(351,1)}
       315:{2,4,6,7}:{(271,1),(272,1),(277,1),(353,1)}
       316:{3,5,7}:{(272,1),(273,1),(274,1),(353,1)}
       317:{2,3,5,6}:{(273,1),(275,1),(279,1),(354,1),(355,1),(411,1)}
       318:{2,3,4,7}:{(274,1),(275,1),(280,1),(354,1),(356,1),(364,1),(425,1)}
       319:{1,3,4,6}:{(275,1),(276,1),(281,1),(355,1),(356,1),(357,1),(362,1)}
       320:{2,4,5}:{(276,1),(357,1),(358,1)}
       321:{1,3,4,6,7}:{(277,1),(278,1),(286,1),(298,1),(353,1),(359,1),(365,1),(406,1),(409,1),(424,1)}
       322:{2,4,5,7}:{(278,1),(279,1),(280,1),(299,1),(354,1),(359,1),(360,1),(407,1)}
       323:{1,4,5,6}:{(279,1),(281,1),(300,1),(355,1),(360,1)}
       324:{1,4,7}:{(280,1),(281,1),(283,1)}
       325:{1,2,4,6}:{(281,1),(282,1),(284,1),(288,1),(357,1),(361,1),(362,1)}
       326:{1,3,5}:{(282,1),(289,1),(358,1),(362,1),(363,1)}
       327:{1,2,5,7}:{(283,1),(284,1),(290,1),(304,1),(361,1),(407,1)}
       328:{1,2,4}:{(285,1),(363,1)}
       329:{2,4,7}:{(287,1),(288,1),(290,1),(364,1)}
       330:{2,3,6}:{(288,1),(289,1),(362,1),(364,1)}
       331:{2,3,4}:{(289,1),(363,1)}
       332:{3,4,5,7}:{(291,1),(293,1),(365,1),(366,1),(383,1)}
       333:{2,4,5,6}:{(291,1),(294,1),(366,1),(367,1),(381,1)}
       334:{3,5,6,7}:{(292,1),(293,1),(353,1),(365,1)}
       335:{2,3,5,7}:{(293,1),(294,1),(295,1),(299,1),(366,1),(369,1)}
       336:{1,3,5,6}:{(294,1),(296,1),(300,1),(367,1),(369,1),(370,1),(411,1)}
       337:{1,3,4,6,7}:{(295,1),(296,1),(301,1),(356,1),(369,1),(371,1),(377,1),(406,1),(409,1),(416,1),(424,1),(425,1)}
       338:{2,4,6}:{(296,1),(297,1),(370,1),(372,1)}
       339:{2,3,5,7}:{(297,1),(303,1),(358,1),(372,1),(373,1),(408,1),(415,1)}
       340:{2,5,6,7}:{(298,1),(299,1),(359,1),(374,1)}
       341:{1,5,7}:{(299,1),(300,1),(301,1)}
       342:{1,2,5,6}:{(300,1),(302,1),(308,1),(370,1),(375,1),(376,1),(379,1)}
       343:{1,2,4,6,7}:{(301,1),(302,1),(304,1),(309,1),(361,1),(371,1),(375,1),(377,1),(416,1)}
       344:{1,3,6}:{(302,1),(303,1),(310,1),(372,1)}
       345:{1,3,4,7}:{(303,1),(306,1),(311,1),(363,1),(373,1),(378,1),(416,1)}
       346:{1,2,4,6}:{(305,1),(306,1),(378,1),(379,1)}
       347:{2,5,7}:{(307,1),(308,1),(309,1)}
       348:{2,3,5,6}:{(308,1),(310,1),(313,1),(376,1),(380,1),(381,1),(382,1)}
       349:{2,3,6,7}:{(309,1),(310,1),(314,1),(364,1),(377,1),(380,1)}
       350:{2,3,4,6}:{(310,1),(311,1),(378,1),(381,1),(382,1)}
       351:{3,5,7}:{(312,1),(313,1),(314,1),(383,1)}
       352:{3,4,6}:{(313,1),(381,1),(383,1),(384,1)}
       353:{3,6,7}:{(315,1),(316,1)}
       354:{2,3,5,7}:{(316,1),(317,1),(318,1),(322,1),(385,1),(386,1),(420,1)}
       355:{1,3,5,6}:{(317,1),(319,1),(323,1),(386,1),(387,1)}
       356:{1,3,4,7}:{(318,1),(319,1),(324,1),(386,1),(388,1),(392,1)}
       357:{2,4,6}:{(319,1),(320,1),(387,1),(388,1),(389,1)}
       358:{2,3,5}:{(320,1),(326,1),(389,1),(390,1)}
       359:{2,4,6,7}:{(321,1),(322,1),(340,1),(385,1),(391,1),(418,1)}
       360:{1,4,5,7}:{(322,1),(323,1),(324,1),(341,1),(386,1),(391,1)}
       361:{1,2,4,7}:{(324,1),(325,1),(327,1),(329,1),(388,1),(392,1)}
       362:{1,3,6}:{(325,1),(326,1),(330,1),(389,1),(392,1)}
       363:{1,3,4}:{(326,1),(328,1),(331,1),(390,1)}
       364:{2,3,7}:{(329,1),(330,1),(392,1)}
       365:{3,4,6,7}:{(332,1),(334,1),(393,1)}
       366:{2,4,5,7}:{(332,1),(333,1),(335,1),(393,1),(394,1),(404,1)}
       367:{1,4,5,6}:{(333,1),(336,1),(394,1),(395,1),(402,1)}
       368:{2,3,5,6,7}:{(334,1),(335,1),(340,1),(385,1),(393,1),(396,1)}
       369:{1,3,5,7}:{(335,1),(336,1),(337,1),(341,1),(394,1),(397,1),(420,1)}
       370:{2,5,6}:{(336,1),(338,1),(397,1)}
       371:{2,4,6,7}:{(337,1),(338,1),(388,1),(397,1),(399,1),(418,1),(422,1)}
       372:{2,3,6}:{(338,1),(339,1),(344,1)}
       373:{2,3,4,7}:{(339,1),(345,1),(390,1),(400,1),(422,1)}
       374:{1,5,6,7}:{(340,1),(341,1),(391,1)}
       375:{1,2,5,7}:{(341,1),(342,1),(343,1),(347,1),(397,1),(401,1)}
       376:{1,3,5,6}:{(342,1),(344,1),(348,1),(398,1),(401,1),(402,1),(403,1)}
       377:{1,3,6,7}:{(343,1),(344,1),(349,1),(392,1),(399,1),(401,1)}
       378:{1,3,4,6}:{(344,1),(345,1),(346,1),(350,1),(400,1),(402,1),(403,1)}
       379:{1,2,5}:{(346,1),(403,1)}
       380:{2,3,5,7}:{(347,1),(348,1),(349,1),(351,1),(401,1),(404,1)}
       381:{2,4,6}:{(348,1),(352,1),(402,1),(404,1),(405,1)}
       382:{2,3,5}:{(350,1),(403,1),(405,1)}
       383:{3,4,7}:{(351,1),(352,1),(404,1)}
       384:{3,4,5}:{(352,1),(405,1)}
       385:{2,3,6,7}:{(353,1),(354,1),(359,1),(406,1),(424,1)}
       386:{1,3,5,7}:{(354,1),(355,1),(356,1),(360,1),(406,1),(407,1)}
       387:{2,5,6}:{(355,1),(357,1),(407,1)}
       388:{2,4,7}:{(356,1),(357,1),(407,1),(408,1)}
       389:{2,3,6}:{(357,1),(358,1),(362,1),(408,1)}
       390:{2,3,4}:{(358,1),(363,1)}
       391:{1,4,6,7}:{(359,1),(360,1),(374,1),(406,1)}
       392:{1,3,7}:{(361,1),(362,1),(364,1),(408,1)}
       393:{2,4,6,7}:{(365,1),(366,1),(368,1),(409,1)}
       394:{1,4,5,7}:{(366,1),(367,1),(369,1),(409,1),(410,1),(416,1)}
       395:{2,4,5,6}:{(367,1),(370,1),(410,1),(411,1),(414,1)}
       396:{1,3,5,6,7}:{(368,1),(369,1),(374,1),(406,1),(409,1),(412,1),(424,1)}
       397:{2,5,7}:{(369,1),(370,1),(371,1)}
       398:{2,3,5,6}:{(370,1),(372,1),(376,1),(411,1),(413,1),(414,1),(415,1)}
       399:{2,3,6,7}:{(371,1),(372,1),(377,1),(408,1),(413,1),(424,1)}
       400:{2,3,4,6}:{(372,1),(373,1),(378,1),(414,1),(415,1)}
       401:{1,3,5,7}:{(375,1),(376,1),(377,1),(380,1),(413,1),(416,1)}
       402:{1,4,6}:{(376,1),(381,1),(414,1),(416,1),(417,1)}
       403:{1,3,5}:{(378,1),(379,1),(382,1),(415,1),(417,1)}
       404:{2,4,7}:{(380,1),(381,1),(383,1),(416,1)}
       405:{2,4,5}:{(381,1),(382,1),(384,1),(417,1)}
       406:{1,3,6,7}:{(385,1),(386,1),(391,1),(418,1)}
       407:{2,5,7}:{(386,1),(387,1),(388,1),(418,1)}
       408:{2,3,7}:{(388,1),(389,1),(392,1)}
       409:{1,4,6,7}:{(393,1),(394,1),(396,1),(419,1)}
       410:{2,4,5,7}:{(394,1),(395,1),(397,1),(419,1),(420,1),(422,1)}
       411:{3,5,6}:{(395,1),(420,1),(421,1)}
       412:{2,5,6,7}:{(396,1),(397,1),(418,1),(419,1)}
       413:{2,3,5,7}:{(397,1),(398,1),(399,1),(401,1),(420,1),(422,1)}
       414:{2,4,6}:{(398,1),(402,1),(421,1),(422,1),(423,1)}
       415:{2,3,5}:{(400,1),(403,1),(423,1)}
       416:{1,4,7}:{(401,1),(402,1),(404,1),(422,1)}
       417:{1,4,5}:{(402,1),(403,1),(405,1),(423,1)}
       418:{2,6,7}:{(406,1),(407,1)}
       419:{2,4,6,7}:{(409,1),(410,1),(412,1),(424,1)}
       420:{3,5,7}:{(410,1),(411,1),(424,1),(425,1)}
       421:{3,4,6}:{(411,1),(414,1),(425,1),(426,1)}
       422:{2,4,7}:{(413,1),(414,1),(416,1),(425,1)}
       423:{2,4,5}:{(414,1),(415,1),(417,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2294 :   0:{2,4,5,6,7}:{(1,1),(2,1),(12,1),(17,1),(94,1),(169,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(4,1),(26,1),(33,1),(64,1),(142,1)}
         2:{3,5,6,7}:{(0,1),(7,1),(128,1),(209,1)}
         3:{2,4,5,6,7}:{(1,1),(9,1),(12,1),(39,1),(56,1),(118,1)}
         4:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(183,1)}
         5:{3,4,5,6}:{(13,1),(14,1),(246,1),(259,1)}
         6:{2,3,4,5,7}:{(15,1),(16,1),(41,1),(48,1),(96,1),(111,1),(240,1),(255,1),(260,1),(261,1),(301,1)}
         7:{3,4,6,7}:{(2,1),(13,1),(17,1)}
         8:{2,3,5,6,7}:{(2,1),(12,1),(17,1),(18,1),(45,1),(48,1)}
         9:{3,5,6,7}:{(3,1),(21,1),(84,1),(155,1)}
        10:{1,3,4,5,6}:{(5,1),(19,1),(23,1),(24,1),(29,1),(60,1),(69,1),(78,1),(122,1),(138,1),(224,1)}
        11:{1,3,4,6,7}:{(4,1),(7,1),(21,1),(23,1),(25,1),(33,1),(64,1),(72,1),(84,1),(128,1)}
        12:{2,5,6,7}:{(4,1),(25,1),(26,1),(223,1)}
        13:{3,4,5,7}:{(5,1),(7,1),(28,1),(209,1),(284,1)}
        14:{2,4,5,6}:{(5,1),(27,1),(28,1),(29,1),(226,1)}
        15:{2,3,4,6}:{(6,1),(27,1),(31,1),(149,1),(226,1),(271,1),(282,1),(310,1)}
        16:{1,3,4,5,7}:{(6,1),(31,1),(32,1),(67,1),(75,1),(80,1),(131,1),(147,1),(148,1),(227,1),(228,1),(281,1)}
        17:{2,4,6,7}:{(7,1),(8,1),(28,1),(33,1)}
        18:{1,3,5,6,7}:{(8,1),(26,1),(33,1),(34,1),(72,1),(75,1),(84,1)}
        19:{3,4,5,6}:{(35,1),(36,1),(196,1),(289,1)}
        20:{2,3,4,5,7}:{(37,1),(38,1),(41,1),(86,1),(96,1),(162,1),(190,1),(255,1),(290,1),(291,1),(311,1)}
        21:{3,4,6,7}:{(9,1),(35,1),(39,1)}
        22:{2,3,5,6,7}:{(9,1),(12,1),(39,1),(40,1),(45,1),(86,1)}
        23:{1,3,4,5,7}:{(10,1),(11,1),(13,1),(35,1),(43,1),(50,1),(88,1),(99,1),(109,1),(160,1),(179,1),(183,1)}
        24:{2,4,5,6}:{(10,1),(42,1),(43,1),(44,1),(100,1),(178,1),(258,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(43,1),(45,1),(46,1),(103,1)}
        26:{1,5,6,7}:{(12,1),(46,1),(257,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(48,1),(49,1),(246,1),(258,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(17,1),(48,1),(50,1),(260,1)}
        29:{1,4,5,6}:{(14,1),(49,1),(50,1),(51,1),(187,1)}
        30:{2,3,4,6,7}:{(15,1),(17,1),(45,1),(48,1),(53,1),(96,1),(168,1),(182,1),(191,1),(260,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(49,1),(54,1),(110,1),(113,1),(187,1),(300,1)}
        32:{2,4,5,7}:{(16,1),(54,1),(55,1),(98,1),(107,1),(172,1),(188,1),(189,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(50,1),(56,1)}
        34:{2,5,6,7}:{(18,1),(56,1),(103,1),(107,1)}
        35:{3,4,5,7}:{(19,1),(21,1),(59,1),(155,1),(303,1)}
        36:{2,4,5,6}:{(19,1),(58,1),(59,1),(60,1),(267,1)}
        37:{2,3,4,6}:{(20,1),(58,1),(62,1),(203,1),(230,1),(267,1),(282,1),(314,1)}
        38:{1,3,4,5,7}:{(20,1),(62,1),(63,1),(67,1),(119,1),(124,1),(131,1),(201,1),(202,1),(268,1),(269,1),(281,1)}
        39:{2,4,6,7}:{(21,1),(22,1),(59,1),(64,1)}
        40:{1,3,5,6,7}:{(22,1),(26,1),(64,1),(65,1),(72,1),(119,1),(128,1)}
        41:{2,3,4,5}:{(66,1),(67,1),(148,1),(202,1),(211,1),(220,1)}
        42:{2,3,5,6}:{(24,1),(66,1),(68,1),(69,1),(78,1),(122,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(25,1),(68,1),(70,1),(135,1),(219,1),(223,1)}
        44:{1,4,5,6}:{(24,1),(69,1),(70,1),(218,1),(283,1)}
        45:{2,3,6,7}:{(25,1),(68,1),(72,1),(84,1),(128,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(70,1),(72,1)}
        47:{1,2,5,6,7}:{(26,1),(34,1),(65,1),(73,1),(74,1),(139,1),(143,1),(197,1),(223,1),(283,1),(288,1),(307,1)}
        48:{2,3,5,7}:{(27,1),(28,1),(30,1),(75,1),(209,1),(223,1)}
        49:{1,3,5,6}:{(27,1),(29,1),(31,1),(75,1),(76,1),(78,1),(283,1)}
        50:{1,4,5,7}:{(28,1),(29,1),(33,1),(75,1),(77,1),(227,1)}
        51:{2,4,5,6}:{(29,1),(76,1),(77,1),(78,1),(146,1)}
        52:{1,2,4,5,7}:{(32,1),(79,1),(80,1),(130,1),(143,1),(150,1),(212,1),(227,1),(228,1),(232,1),(281,1),(286,1),(308,1)}
        53:{1,3,4,6,7}:{(30,1),(31,1),(33,1),(72,1),(75,1),(81,1),(84,1),(131,1),(147,1),(151,1),(222,1),(227,1)}
        54:{2,4,6}:{(31,1),(32,1),(76,1),(82,1)}
        55:{2,3,5,7}:{(32,1),(80,1),(82,1),(83,1),(133,1),(154,1),(215,1)}
        56:{2,4,6,7}:{(33,1),(34,1),(77,1),(84,1)}
        57:{2,3,5,6,7}:{(34,1),(74,1),(84,1),(85,1),(140,1),(145,1),(155,1),(223,1),(234,1),(266,1),(307,1),(314,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(86,1),(87,1),(196,1),(258,1)}
        59:{2,4,5,7}:{(35,1),(36,1),(39,1),(86,1),(88,1),(290,1)}
        60:{1,4,5,6}:{(36,1),(87,1),(88,1),(89,1),(237,1)}
        61:{2,3,4,6,7}:{(37,1),(39,1),(45,1),(86,1),(91,1),(96,1),(117,1),(182,1),(241,1),(290,1)}
        62:{1,3,4,6}:{(37,1),(38,1),(87,1),(92,1),(161,1),(164,1),(237,1),(300,1)}
        63:{2,4,5,7}:{(38,1),(92,1),(93,1),(98,1),(158,1),(172,1),(238,1),(239,1)}
        64:{1,4,6,7}:{(39,1),(40,1),(88,1),(94,1)}
        65:{2,5,6,7}:{(40,1),(94,1),(103,1),(158,1)}
        66:{2,3,4,6}:{(41,1),(42,1),(96,1),(97,1),(110,1),(161,1),(178,1),(247,1)}
        67:{1,3,4,5}:{(41,1),(97,1),(98,1),(171,1),(254,1)}
        68:{2,3,5,7}:{(42,1),(43,1),(45,1),(96,1),(99,1),(109,1),(160,1)}
        69:{1,3,5,6}:{(42,1),(44,1),(97,1),(99,1),(100,1)}
        70:{1,4,5,7}:{(43,1),(44,1),(46,1),(99,1),(253,1),(257,1)}
        71:{1,2,4,5,6}:{(44,1),(51,1),(89,1),(100,1),(101,1),(102,1),(106,1),(157,1),(170,1),(178,1),(184,1),(187,1),(237,1),(254,1),(258,1),(261,1),(291,1),(297,1),(300,1),(302,1),(312,1),(313,1)}
        72:{1,3,6,7}:{(45,1),(46,1),(99,1),(103,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(94,1),(101,1),(103,1),(104,1),(105,1),(182,1),(300,1),(302,1),(312,1),(313,1)}
        74:{1,3,5,6,7}:{(47,1),(57,1),(95,1),(104,1),(105,1),(181,1),(183,1),(186,1),(236,1),(257,1),(265,1),(295,1)}
        75:{1,3,5,7}:{(48,1),(49,1),(50,1),(53,1),(107,1),(109,1),(257,1)}
        76:{2,5,6}:{(49,1),(54,1),(107,1)}
        77:{2,4,5,7}:{(50,1),(51,1),(56,1),(107,1),(109,1),(188,1)}
        78:{3,5,6}:{(51,1),(109,1),(110,1)}
        79:{1,2,4,6}:{(52,1),(54,1),(106,1),(113,1),(187,1),(192,1),(300,1),(302,1),(313,1)}
        80:{1,3,5,7}:{(52,1),(55,1),(111,1),(113,1),(114,1),(171,1),(194,1),(249,1),(301,1)}
        81:{2,4,6,7}:{(53,1),(54,1),(103,1),(107,1),(115,1),(172,1),(188,1)}
        82:{2,3,6}:{(54,1),(55,1),(113,1)}
        83:{2,3,4,7}:{(55,1),(114,1),(116,1),(174,1),(188,1)}
        84:{3,6,7}:{(56,1),(109,1)}
        85:{2,4,6,7}:{(57,1),(105,1),(117,1),(118,1),(188,1),(263,1),(290,1),(312,1)}
        86:{2,3,5,7}:{(58,1),(59,1),(61,1),(119,1),(155,1),(223,1)}
        87:{1,3,5,6}:{(58,1),(60,1),(62,1),(119,1),(120,1),(122,1),(283,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(64,1),(119,1),(121,1),(268,1)}
        89:{2,4,5,6}:{(60,1),(120,1),(121,1),(122,1),(200,1)}
        90:{1,2,4,5,7}:{(63,1),(123,1),(124,1),(130,1),(197,1),(204,1),(212,1),(268,1),(269,1),(273,1),(281,1),(305,1),(308,1)}
        91:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(72,1),(119,1),(125,1),(128,1),(131,1),(201,1),(205,1),(222,1),(268,1)}
        92:{2,4,6}:{(62,1),(63,1),(120,1),(126,1)}
        93:{2,3,5,7}:{(63,1),(124,1),(126,1),(127,1),(133,1),(208,1),(215,1)}
        94:{2,4,6,7}:{(64,1),(65,1),(121,1),(128,1)}
        95:{2,3,5,6,7}:{(65,1),(74,1),(128,1),(129,1),(140,1),(199,1),(209,1),(223,1),(225,1),(275,1),(288,1),(310,1)}
        96:{2,3,4,7}:{(66,1),(68,1),(131,1),(147,1),(201,1),(219,1),(276,1)}
        97:{1,3,4,6}:{(66,1),(67,1),(69,1),(131,1),(132,1),(213,1),(218,1)}
        98:{2,4,5}:{(67,1),(132,1),(133,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(131,1),(135,1)}
       100:{2,5,6}:{(69,1),(132,1),(135,1)}
       101:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(77,1),(121,1),(135,1),(137,1),(142,1),(143,1),(197,1),(212,1),(219,1),(223,1),(227,1),(268,1),(281,1),(286,1),(305,1),(308,1)}
       102:{1,3,5,6}:{(71,1),(78,1),(122,1),(136,1),(137,1),(138,1),(213,1),(279,1),(285,1),(304,1),(309,1),(310,1),(314,1)}
       103:{2,6,7}:{(72,1),(135,1)}
       104:{1,3,6,7}:{(73,1),(84,1),(128,1),(137,1),(140,1),(309,1),(310,1),(314,1)}
       105:{1,4,6,7}:{(74,1),(85,1),(129,1),(142,1),(227,1),(268,1),(287,1),(306,1)}
       106:{1,2,5,6}:{(76,1),(79,1),(143,1),(144,1),(232,1),(283,1),(288,1)}
       107:{2,5,7}:{(75,1),(76,1),(81,1)}
       108:{2,3,5,6}:{(76,1),(78,1),(82,1),(144,1),(145,1),(146,1),(154,1)}
       109:{3,5,7}:{(77,1),(78,1),(84,1),(147,1)}
       110:{3,4,6}:{(78,1),(146,1),(147,1),(148,1)}
       111:{2,3,5,7}:{(80,1),(149,1),(150,1),(211,1),(232,1),(276,1),(308,1)}
       112:{1,2,4,6,7}:{(79,1),(81,1),(139,1),(143,1),(151,1),(212,1),(222,1),(227,1),(231,1)}
       113:{1,3,6}:{(79,1),(80,1),(82,1),(149,1),(310,1)}
       114:{1,3,4,7}:{(80,1),(83,1),(150,1),(152,1),(214,1),(227,1),(284,1)}
       115:{2,3,6,7}:{(81,1),(82,1),(84,1),(145,1),(151,1),(215,1)}
       116:{2,3,4,6}:{(82,1),(83,1),(146,1),(152,1),(154,1)}
       117:{3,4,6,7}:{(84,1),(85,1),(147,1),(155,1),(230,1),(303,1),(314,1)}
       118:{2,4,5,7}:{(85,1),(142,1),(155,1),(156,1),(223,1)}
       119:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(158,1),(160,1),(257,1)}
       120:{2,5,6}:{(87,1),(92,1),(158,1)}
       121:{2,4,5,7}:{(88,1),(89,1),(94,1),(158,1),(160,1),(238,1)}
       122:{3,5,6}:{(89,1),(160,1),(161,1)}
       123:{1,2,4,6}:{(90,1),(92,1),(157,1),(164,1),(237,1),(242,1),(300,1),(312,1),(313,1)}
       124:{1,3,5,7}:{(90,1),(93,1),(162,1),(164,1),(165,1),(171,1),(244,1),(249,1),(311,1)}
       125:{2,4,6,7}:{(91,1),(92,1),(103,1),(158,1),(166,1),(172,1),(238,1)}
       126:{2,3,6}:{(92,1),(93,1),(164,1)}
       127:{2,3,4,7}:{(93,1),(165,1),(167,1),(174,1),(238,1)}
       128:{3,6,7}:{(94,1),(160,1)}
       129:{2,4,6,7}:{(95,1),(105,1),(168,1),(169,1),(238,1),(260,1),(293,1),(302,1)}
       130:{1,2,4,5}:{(98,1),(170,1),(171,1),(248,1),(254,1),(297,1)}
       131:{1,3,4,7}:{(96,1),(97,1),(99,1),(172,1),(249,1),(253,1)}
       132:{2,4,6}:{(97,1),(98,1),(100,1),(172,1),(173,1)}
       133:{2,3,5}:{(98,1),(171,1),(173,1),(174,1)}
       134:{1,2,5,6}:{(100,1),(170,1),(175,1),(176,1),(297,1),(313,1)}
       135:{2,5,7}:{(99,1),(100,1),(103,1),(172,1)}
       136:{2,3,5,6}:{(100,1),(102,1),(173,1),(176,1),(177,1),(178,1),(247,1),(252,1),(258,1),(297,1),(299,1),(313,1)}
       137:{1,3,5,7}:{(101,1),(102,1),(104,1),(109,1),(160,1),(177,1),(179,1),(249,1),(301,1),(311,1)}
       138:{1,3,4,6}:{(102,1),(110,1),(161,1),(178,1),(179,1),(180,1),(187,1),(237,1),(259,1),(289,1)}
       139:{1,2,6,7}:{(103,1),(175,1),(181,1),(313,1)}
       140:{2,3,6,7}:{(103,1),(104,1),(177,1),(181,1),(182,1),(299,1),(313,1)}
       141:{1,3,4,6,7}:{(104,1),(105,1),(117,1),(168,1),(179,1),(182,1),(183,1),(256,1)}
       142:{1,4,5,7}:{(105,1),(118,1),(169,1),(183,1),(184,1),(257,1)}
       143:{1,2,5,7}:{(106,1),(107,1),(112,1),(186,1),(257,1),(264,1)}
       144:{1,3,5,6}:{(106,1),(108,1),(113,1),(185,1),(186,1),(187,1),(194,1)}
       145:{2,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(186,1),(188,1)}
       146:{2,4,6}:{(108,1),(110,1),(187,1),(188,1),(189,1)}
       147:{3,4,7}:{(109,1),(110,1),(188,1)}
       148:{3,4,5}:{(110,1),(189,1)}
       149:{2,3,6}:{(111,1),(113,1),(192,1),(313,1)}
       150:{2,4,7}:{(111,1),(114,1),(192,1),(248,1)}
       151:{1,3,6,7}:{(112,1),(113,1),(115,1),(186,1),(191,1),(249,1)}
       152:{1,3,4,6}:{(113,1),(114,1),(116,1),(187,1),(192,1),(194,1),(259,1)}
       153:{2,3,4,6,7}:{(115,1),(116,1),(117,1),(182,1),(188,1),(193,1),(195,1),(251,1),(263,1),(299,1)}
       154:{2,3,5}:{(116,1),(189,1),(194,1)}
       155:{3,5,7}:{(117,1),(118,1),(196,1)}
       156:{2,4,5,6}:{(118,1),(184,1),(196,1),(258,1),(263,1),(312,1)}
       157:{1,2,5,6}:{(120,1),(123,1),(197,1),(198,1),(273,1),(283,1),(307,1)}
       158:{2,5,7}:{(119,1),(120,1),(125,1)}
       159:{2,3,5,6}:{(120,1),(122,1),(126,1),(198,1),(199,1),(200,1),(208,1)}
       160:{3,5,7}:{(121,1),(122,1),(128,1),(201,1)}
       161:{3,4,6}:{(122,1),(200,1),(201,1),(202,1)}
       162:{2,3,5,7}:{(124,1),(203,1),(204,1),(211,1),(273,1),(276,1),(308,1)}
       163:{1,2,4,6,7}:{(123,1),(125,1),(139,1),(197,1),(205,1),(212,1),(222,1),(268,1),(272,1)}
       164:{1,3,6}:{(123,1),(124,1),(126,1),(203,1),(314,1)}
       165:{1,3,4,7}:{(124,1),(127,1),(204,1),(206,1),(214,1),(268,1),(303,1)}
       166:{2,3,6,7}:{(125,1),(126,1),(128,1),(199,1),(205,1),(215,1)}
       167:{2,3,4,6}:{(126,1),(127,1),(200,1),(206,1),(208,1)}
       168:{3,4,6,7}:{(128,1),(129,1),(201,1),(209,1),(271,1),(284,1),(310,1)}
       169:{2,4,5,7}:{(129,1),(142,1),(209,1),(210,1),(223,1)}
       170:{1,2,4,6}:{(130,1),(132,1),(134,1),(212,1),(213,1),(218,1),(277,1)}
       171:{1,3,5}:{(130,1),(133,1),(211,1),(213,1),(214,1)}
       172:{2,4,7}:{(131,1),(132,1),(135,1),(215,1)}
       173:{2,3,6}:{(132,1),(133,1),(213,1),(215,1)}
       174:{2,3,4}:{(133,1),(214,1)}
       175:{1,2,5,7}:{(134,1),(135,1),(139,1),(212,1),(217,1),(308,1)}
       176:{1,3,5,6}:{(134,1),(136,1),(213,1),(217,1),(218,1),(279,1),(283,1),(309,1)}
       177:{2,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(215,1),(217,1),(219,1),(223,1),(276,1),(308,1)}
       178:{2,4,6}:{(136,1),(138,1),(218,1),(219,1),(220,1)}
       179:{1,3,4,7}:{(137,1),(138,1),(147,1),(201,1),(219,1),(227,1),(268,1),(284,1),(303,1)}
       180:{1,3,4,5}:{(138,1),(148,1),(202,1),(220,1),(228,1),(269,1),(279,1),(285,1),(304,1)}
       181:{1,3,6,7}:{(139,1),(140,1),(217,1),(222,1),(309,1)}
       182:{2,4,6,7}:{(140,1),(141,1),(219,1),(222,1),(223,1),(282,1)}
       183:{1,3,5,7}:{(141,1),(142,1),(155,1),(209,1),(223,1),(224,1)}
       184:{1,4,5,6}:{(142,1),(156,1),(210,1),(224,1),(283,1),(287,1),(306,1)}
       185:{2,3,5,6}:{(144,1),(149,1),(225,1),(226,1),(232,1),(285,1),(288,1),(310,1)}
       186:{1,3,5,7}:{(143,1),(144,1),(145,1),(151,1),(225,1),(227,1)}
       187:{1,4,6}:{(144,1),(146,1),(226,1),(227,1),(228,1)}
       188:{2,4,7}:{(145,1),(146,1),(147,1),(227,1)}
       189:{2,4,5}:{(146,1),(148,1),(154,1),(228,1)}
       190:{3,4,5,7}:{(147,1),(148,1),(155,1),(229,1),(230,1)}
       191:{2,3,6,7}:{(149,1),(151,1),(225,1),(231,1),(276,1),(310,1)}
       192:{2,4,6}:{(149,1),(150,1),(152,1),(232,1)}
       193:{1,3,4,6,7}:{(151,1),(152,1),(153,1),(222,1),(227,1),(231,1),(233,1),(278,1),(284,1),(287,1),(309,1),(310,1)}
       194:{1,3,5}:{(152,1),(154,1),(228,1),(232,1),(285,1)}
       195:{2,3,5,7}:{(153,1),(154,1),(155,1),(223,1),(229,1),(233,1),(234,1)}
       196:{3,5,6}:{(155,1),(156,1),(230,1),(314,1)}
       197:{1,2,5,7}:{(157,1),(158,1),(163,1),(236,1),(257,1),(294,1)}
       198:{1,3,5,6}:{(157,1),(159,1),(164,1),(235,1),(236,1),(237,1),(244,1)}
       199:{2,3,5,7}:{(158,1),(159,1),(160,1),(166,1),(236,1),(238,1)}
       200:{2,4,6}:{(159,1),(161,1),(237,1),(238,1),(239,1)}
       201:{3,4,7}:{(160,1),(161,1),(238,1)}
       202:{3,4,5}:{(161,1),(239,1)}
       203:{2,3,6}:{(162,1),(164,1),(242,1),(313,1)}
       204:{2,4,7}:{(162,1),(165,1),(242,1),(248,1)}
       205:{1,3,6,7}:{(163,1),(164,1),(166,1),(236,1),(241,1),(249,1)}
       206:{1,3,4,6}:{(164,1),(165,1),(167,1),(237,1),(242,1),(244,1),(289,1)}
       207:{2,3,4,6,7}:{(166,1),(167,1),(168,1),(182,1),(238,1),(243,1),(245,1),(251,1),(293,1),(299,1)}
       208:{2,3,5}:{(167,1),(239,1),(244,1)}
       209:{3,5,7}:{(168,1),(169,1),(246,1)}
       210:{2,4,5,6}:{(169,1),(184,1),(246,1),(258,1),(293,1),(302,1)}
       211:{2,3,5}:{(171,1),(247,1),(248,1),(297,1)}
       212:{1,2,4,7}:{(170,1),(172,1),(175,1),(249,1),(253,1),(296,1)}
       213:{1,3,6}:{(170,1),(171,1),(173,1),(247,1),(249,1)}
       214:{1,3,4}:{(171,1),(174,1),(248,1)}
       215:{2,3,7}:{(172,1),(173,1),(249,1)}
       216:{2,3,4,6}:{(173,1),(174,1),(178,1),(250,1),(251,1),(252,1),(259,1),(289,1),(299,1)}
       217:{1,3,5,7}:{(175,1),(176,1),(177,1),(181,1),(249,1),(253,1),(257,1)}
       218:{1,4,6}:{(176,1),(178,1),(253,1),(254,1)}
       219:{2,4,7}:{(177,1),(178,1),(179,1),(253,1)}
       220:{2,4,5}:{(178,1),(180,1),(252,1),(254,1),(297,1)}
       221:{1,3,4,5,7}:{(179,1),(180,1),(183,1),(190,1),(240,1),(255,1),(256,1),(262,1),(292,1),(298,1),(301,1),(311,1)}
       222:{1,4,6,7}:{(181,1),(182,1),(253,1),(257,1),(300,1)}
       223:{2,5,7}:{(182,1),(183,1),(257,1),(258,1)}
       224:{1,3,5,6}:{(183,1),(184,1),(196,1),(246,1),(256,1),(258,1)}
       225:{2,3,5,7}:{(185,1),(186,1),(191,1),(260,1),(264,1),(301,1)}
       226:{2,4,6}:{(185,1),(187,1),(259,1),(260,1),(261,1)}
       227:{1,4,7}:{(186,1),(187,1),(188,1),(260,1)}
       228:{1,4,5}:{(187,1),(189,1),(194,1),(261,1)}
       229:{2,4,5,7}:{(188,1),(189,1),(190,1),(195,1),(262,1),(263,1)}
       230:{3,4,6}:{(190,1),(196,1),(263,1)}
       231:{2,4,6,7}:{(191,1),(192,1),(193,1),(260,1),(264,1),(296,1),(302,1),(313,1)}
       232:{2,5}:{(192,1),(194,1)}
       233:{1,3,5,7}:{(193,1),(194,1),(195,1),(257,1),(262,1),(264,1),(265,1),(301,1)}
       234:{2,3,5,6}:{(195,1),(196,1),(258,1),(263,1),(265,1),(299,1)}
       235:{2,3,5,6}:{(198,1),(203,1),(266,1),(267,1),(273,1),(304,1),(307,1),(314,1)}
       236:{1,3,5,7}:{(197,1),(198,1),(199,1),(205,1),(266,1),(268,1)}
       237:{1,4,6}:{(198,1),(200,1),(267,1),(268,1),(269,1)}
       238:{2,4,7}:{(199,1),(200,1),(201,1),(268,1)}
       239:{2,4,5}:{(200,1),(202,1),(208,1),(269,1)}
       240:{3,4,5,7}:{(201,1),(202,1),(209,1),(270,1),(271,1)}
       241:{2,3,6,7}:{(203,1),(205,1),(266,1),(272,1),(276,1),(314,1)}
       242:{2,4,6}:{(203,1),(204,1),(206,1),(273,1)}
       243:{1,3,4,6,7}:{(205,1),(206,1),(207,1),(222,1),(268,1),(272,1),(274,1),(278,1),(303,1),(306,1),(309,1),(314,1)}
       244:{1,3,5}:{(206,1),(208,1),(269,1),(273,1),(304,1)}
       245:{2,3,5,7}:{(207,1),(208,1),(209,1),(223,1),(270,1),(274,1),(275,1)}
       246:{3,5,6}:{(209,1),(210,1),(271,1),(310,1)}
       247:{2,3,6}:{(211,1),(213,1),(276,1),(277,1)}
       248:{2,4}:{(211,1),(214,1)}
       249:{1,3,7}:{(212,1),(213,1),(215,1),(276,1)}
       250:{1,3,4,6}:{(213,1),(214,1),(216,1),(218,1),(277,1),(278,1),(279,1),(309,1)}
       251:{2,3,4,7}:{(215,1),(216,1),(219,1),(278,1),(280,1),(284,1),(303,1)}
       252:{2,3,5}:{(216,1),(220,1),(279,1),(285,1),(304,1)}
       253:{1,4,7}:{(217,1),(218,1),(219,1)}
       254:{1,4,5}:{(218,1),(220,1),(279,1)}
       255:{2,4,5,7}:{(219,1),(220,1),(221,1),(223,1),(280,1),(281,1),(282,1),(308,1)}
       256:{1,3,4,6}:{(221,1),(224,1),(230,1),(271,1),(282,1),(287,1),(306,1),(309,1),(310,1),(314,1)}
       257:{1,5,7}:{(222,1),(223,1),(283,1)}
       258:{2,5,6}:{(223,1),(224,1),(282,1),(283,1)}
       259:{3,4,6}:{(226,1),(284,1),(285,1),(310,1)}
       260:{2,4,7}:{(225,1),(226,1),(227,1),(284,1)}
       261:{2,4,5}:{(226,1),(228,1),(232,1),(285,1)}
       262:{1,4,5,7}:{(227,1),(228,1),(229,1),(233,1),(286,1),(287,1)}
       263:{2,4,6}:{(229,1),(230,1),(234,1),(287,1)}
       264:{2,5,7}:{(231,1),(232,1),(233,1),(288,1)}
       265:{1,3,5,6}:{(233,1),(234,1),(283,1),(287,1),(288,1),(309,1),(310,1)}
       266:{2,3,5,7}:{(235,1),(236,1),(241,1),(290,1),(294,1),(311,1)}
       267:{2,4,6}:{(235,1),(237,1),(289,1),(290,1),(291,1)}
       268:{1,4,7}:{(236,1),(237,1),(238,1),(290,1)}
       269:{1,4,5}:{(237,1),(239,1),(244,1),(291,1)}
       270:{2,4,5,7}:{(238,1),(239,1),(240,1),(245,1),(292,1),(293,1)}
       271:{3,4,6}:{(240,1),(246,1),(293,1)}
       272:{2,4,6,7}:{(241,1),(242,1),(243,1),(290,1),(294,1),(296,1),(312,1),(313,1)}
       273:{2,5}:{(242,1),(244,1)}
       274:{1,3,5,7}:{(243,1),(244,1),(245,1),(257,1),(292,1),(294,1),(295,1),(311,1)}
       275:{2,3,5,6}:{(245,1),(246,1),(258,1),(293,1),(295,1),(299,1)}
       276:{2,3,7}:{(247,1),(249,1),(296,1)}
       277:{2,4,6}:{(247,1),(248,1),(250,1),(296,1),(297,1),(313,1)}
       278:{1,3,4,7}:{(249,1),(250,1),(251,1),(253,1),(296,1),(298,1)}
       279:{1,3,5}:{(250,1),(252,1),(254,1),(297,1)}
       280:{2,3,5,7}:{(251,1),(252,1),(255,1),(298,1),(299,1),(301,1),(311,1)}
       281:{1,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(298,1),(300,1)}
       282:{2,4,6}:{(255,1),(256,1),(258,1),(299,1),(300,1),(313,1)}
       283:{1,5,6}:{(257,1),(258,1),(300,1)}
       284:{3,4,7}:{(259,1),(260,1),(301,1)}
       285:{3,5}:{(259,1),(261,1)}
       286:{2,4,5,7}:{(260,1),(261,1),(262,1),(264,1),(301,1),(302,1)}
       287:{1,4,6}:{(262,1),(263,1),(265,1),(302,1)}
       288:{2,5,6}:{(264,1),(265,1),(302,1),(313,1)}
       289:{3,4,6}:{(267,1),(303,1),(304,1),(314,1)}
       290:{2,4,7}:{(266,1),(267,1),(268,1),(303,1)}
       291:{2,4,5}:{(267,1),(269,1),(273,1),(304,1)}
       292:{1,4,5,7}:{(268,1),(269,1),(270,1),(274,1),(305,1),(306,1)}
       293:{2,4,6}:{(270,1),(271,1),(275,1),(306,1)}
       294:{2,5,7}:{(272,1),(273,1),(274,1),(307,1)}
       295:{1,3,5,6}:{(274,1),(275,1),(283,1),(306,1),(307,1),(309,1),(314,1)}
       296:{2,4,7}:{(276,1),(277,1),(278,1),(308,1)}
       297:{2,5}:{(277,1),(279,1)}
       298:{1,3,5,7}:{(278,1),(279,1),(280,1),(281,1),(308,1),(309,1)}
       299:{2,3,6}:{(280,1),(282,1),(309,1),(310,1),(314,1)}
       300:{1,4,6}:{(281,1),(282,1),(283,1),(309,1)}
       301:{3,5,7}:{(284,1),(285,1),(286,1),(310,1)}
       302:{2,4,6}:{(286,1),(287,1),(288,1),(310,1)}
       303:{3,4,7}:{(289,1),(290,1),(311,1)}
       304:{3,5}:{(289,1),(291,1)}
       305:{2,4,5,7}:{(290,1),(291,1),(292,1),(294,1),(311,1),(312,1)}
       306:{1,4,6}:{(292,1),(293,1),(295,1),(312,1)}
       307:{2,5,6}:{(294,1),(295,1),(312,1),(313,1)}
       308:{2,5,7}:{(296,1),(297,1),(298,1),(313,1)}
       309:{1,3,6}:{(298,1),(299,1),(300,1),(313,1)}
       310:{3,6}:{(301,1),(302,1)}
       311:{3,5,7}:{(303,1),(304,1),(305,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{3,6}:{(311,1),(312,1)}

2295 :   0:{3,4,5,6,7}:{(1,1),(60,1),(136,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(45,1),(153,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(160,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(7,1),(34,1),(168,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(79,1),(107,1),(142,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(42,1),(45,1),(142,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(173,1)}
         7:{2,4,5,6,7}:{(3,1),(11,1),(12,1),(25,1),(178,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(49,1),(61,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(36,1),(62,1),(125,1),(158,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(18,1),(31,1),(34,1),(158,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(181,1)}
        12:{3,5,6,7}:{(7,1),(18,1),(184,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(26,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(144,1),(171,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(171,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(112,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(44,1),(150,1)}
        18:{3,4,6,7}:{(12,1),(25,1),(26,1),(177,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(124,1),(157,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(157,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(33,1),(34,1),(58,1),(132,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(166,1)}
        26:{3,4,5,7}:{(18,1),(35,1),(36,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{2,3,5,6,7}:{(24,1),(42,1),(45,1),(75,1),(78,1),(114,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(45,1),(46,1),(151,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1)}
        36:{3,4,5,6}:{(26,1),(47,1),(177,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(122,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(124,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(122,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(60,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{2,4,6,7}:{(33,1),(34,1),(60,1),(61,1),(134,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(61,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(166,1)}
        48:{3,4,5,6,7}:{(36,1),(63,1),(185,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(138,1),(149,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(112,1),(140,1),(145,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(145,1),(178,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(172,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1),(78,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{3,4,6,7}:{(45,1),(78,1),(116,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(79,1),(151,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(179,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(119,1),(163,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(96,1),(119,1),(131,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(157,1),(166,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(162,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(122,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(126,1),(136,1),(168,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(163,1),(186,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(182,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(122,1),(134,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1),(97,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{3,5,7}:{(60,1),(61,1),(97,1)}
        79:{2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(134,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(98,1),(169,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(176,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(116,1),(140,1),(151,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(172,1),(179,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(140,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(144,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(147,1),(155,1),(180,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(111,1),(140,1),(151,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(111,1),(112,1),(187,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(111,1),(113,1),(114,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(115,1),(117,1)}
        96:{3,4,5,7}:{(78,1),(113,1),(116,1)}
        97:{3,5,6}:{(78,1),(79,1),(116,1)}
        98:{2,4,5,6,7}:{(79,1),(80,1),(115,1),(117,1),(154,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(118,1),(119,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(119,1),(120,1),(131,1),(156,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(119,1),(122,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(122,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(123,1),(137,1),(159,1),(169,1)}
       104:{2,3,4,6}:{(86,1),(118,1),(124,1),(157,1),(162,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(124,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(120,1),(126,1),(127,1),(162,1),(168,1),(181,1)}
       107:{2,3,4,5}:{(88,1),(125,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(126,1),(128,1),(129,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(123,1),(129,1)}
       110:{2,3,4,6,7}:{(91,1),(118,1),(130,1),(157,1),(166,1),(182,1),(185,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(130,1),(131,1),(132,1)}
       112:{1,2,5,6}:{(92,1),(94,1),(120,1),(132,1),(181,1)}
       113:{2,4,5,7}:{(93,1),(96,1),(131,1),(134,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(97,1),(122,1),(132,1),(134,1)}
       115:{2,5,6,7}:{(94,1),(95,1),(123,1)}
       116:{3,4,6}:{(96,1),(97,1),(134,1)}
       117:{3,5,6,7}:{(97,1),(98,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(104,1),(138,1),(176,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(138,1),(140,1)}
       120:{1,2,4,6}:{(100,1),(102,1),(112,1),(140,1),(151,1),(171,1)}
       121:{2,3,4,5,7}:{(101,1),(107,1),(113,1),(139,1),(142,1),(148,1),(175,1)}
       122:{2,3,6}:{(101,1),(102,1),(140,1)}
       123:{2,4,6,7}:{(102,1),(103,1),(109,1),(115,1),(143,1)}
       124:{2,3,5}:{(104,1),(105,1),(144,1)}
       125:{1,3,4,5}:{(105,1),(107,1),(144,1),(146,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(108,1),(140,1),(145,1),(146,1),(147,1)}
       127:{1,2,4,5,7}:{(106,1),(109,1),(141,1),(147,1),(176,1),(180,1),(187,1)}
       128:{2,3,4,6}:{(107,1),(108,1),(146,1),(148,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(143,1),(147,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(149,1),(150,1),(187,1),(188,1)}
       131:{1,4,5,7}:{(111,1),(113,1),(149,1),(151,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(114,1),(140,1),(150,1),(151,1)}
       133:{1,2,5,6,7}:{(112,1),(115,1),(141,1),(152,1),(187,1)}
       134:{2,4,6}:{(113,1),(114,1),(116,1),(151,1)}
       135:{2,3,5,6,7}:{(114,1),(115,1),(117,1),(143,1),(152,1),(154,1),(175,1)}
       136:{3,4,5,6}:{(116,1),(153,1),(155,1)}
       137:{3,4,6,7}:{(116,1),(117,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(124,1),(156,1),(157,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(125,1),(131,1),(156,1),(158,1),(164,1),(165,1),(183,1)}
       140:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(127,1),(133,1),(159,1),(169,1),(182,1)}
       142:{2,3,4,6}:{(121,1),(122,1),(134,1),(158,1),(160,1)}
       143:{2,3,6,7}:{(122,1),(123,1),(129,1),(159,1)}
       144:{2,4,5}:{(124,1),(125,1),(162,1)}
       145:{2,3,5,6}:{(124,1),(126,1),(157,1),(162,1),(163,1),(181,1)}
       146:{1,3,4,6}:{(125,1),(126,1),(128,1),(162,1),(164,1)}
       147:{1,3,5,7}:{(126,1),(127,1),(129,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,7}:{(128,1),(129,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(165,1),(166,1)}
       150:{2,3,5,6}:{(130,1),(132,1),(157,1),(166,1),(181,1),(184,1)}
       151:{1,4,6}:{(131,1),(132,1),(134,1),(166,1)}
       152:{1,3,5,6,7}:{(132,1),(133,1),(135,1),(159,1),(167,1),(169,1),(183,1)}
       153:{2,4,5,6}:{(134,1),(136,1),(160,1),(168,1),(170,1)}
       154:{2,4,6,7}:{(134,1),(135,1),(137,1),(169,1),(170,1)}
       155:{3,4,5,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(144,1),(171,1),(176,1),(187,1)}
       157:{2,3,6}:{(138,1),(140,1),(171,1)}
       158:{1,3,4,6}:{(139,1),(140,1),(142,1),(151,1),(171,1),(173,1),(177,1)}
       159:{1,3,6,7}:{(140,1),(141,1),(143,1),(147,1),(172,1)}
       160:{2,3,5,6}:{(142,1),(153,1),(173,1),(175,1)}
       161:{2,3,4,6,7}:{(142,1),(143,1),(148,1),(154,1),(174,1),(175,1)}
       162:{2,4,6}:{(144,1),(145,1),(146,1),(176,1)}
       163:{2,3,5,7}:{(145,1),(147,1),(172,1),(176,1),(187,1)}
       164:{1,3,4,7}:{(146,1),(147,1),(148,1),(176,1)}
       165:{3,4,5,7}:{(149,1),(177,1),(188,1)}
       166:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       167:{2,3,5,6,7}:{(150,1),(152,1),(172,1),(179,1),(187,1),(188,1)}
       168:{1,4,5,6}:{(151,1),(153,1),(173,1),(178,1),(180,1)}
       169:{1,4,6,7}:{(151,1),(152,1),(154,1),(179,1),(180,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(155,1),(175,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(158,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(163,1),(182,1)}
       173:{1,3,5,6}:{(158,1),(160,1),(168,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6,7}:{(158,1),(159,1),(161,1),(164,1),(169,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,7}:{(160,1),(161,1),(170,1),(183,1)}
       176:{2,4,7}:{(162,1),(163,1),(164,1)}
       177:{3,4,6}:{(165,1),(166,1),(184,1)}
       178:{2,4,5,6}:{(166,1),(168,1),(181,1),(184,1),(186,1)}
       179:{2,4,6,7}:{(166,1),(167,1),(169,1),(185,1),(186,1)}
       180:{1,4,5,7}:{(168,1),(169,1),(170,1),(183,1),(186,1)}
       181:{2,5,6}:{(171,1),(173,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(174,1),(176,1),(187,1)}
       183:{1,3,5,7}:{(173,1),(174,1),(175,1),(180,1),(187,1),(188,1)}
       184:{3,5,6}:{(177,1),(178,1),(188,1)}
       185:{3,4,6,7}:{(177,1),(179,1),(188,1)}
       186:{2,4,5,7}:{(178,1),(179,1),(180,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

2296 :   0:{4,5,6,7}:{(2,1),(172,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(141,1),(161,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(169,1)}
         3:{2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(123,1),(151,1)}
         4:{3,4,5,7}:{(1,1),(6,1),(11,1),(156,1),(169,1)}
         5:{2,3,4,5}:{(13,1),(14,1),(86,1),(101,1)}
         6:{3,4,6,7}:{(2,1),(4,1),(16,1)}
         7:{2,5,6,7}:{(2,1),(16,1),(17,1),(163,1)}
         8:{1,2,3,6}:{(12,1),(15,1),(18,1),(88,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(20,1),(21,1)}
        10:{1,4,5,6}:{(3,1),(20,1),(22,1),(23,1),(103,1),(137,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(16,1),(21,1),(23,1),(143,1),(163,1)}
        12:{1,2,3,5}:{(8,1),(24,1),(35,1),(63,1)}
        13:{1,3,4,5}:{(5,1),(26,1),(27,1),(39,1),(63,1),(79,1)}
        14:{2,3,4,6}:{(5,1),(9,1),(27,1),(28,1),(109,1),(123,1)}
        15:{1,2,3,7}:{(8,1),(29,1),(111,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(11,1),(31,1),(32,1)}
        17:{1,5,6,7}:{(7,1),(32,1),(33,1),(153,1)}
        18:{1,2,4,6}:{(8,1),(24,1),(29,1),(34,1),(35,1),(70,1)}
        19:{2,3,4,6}:{(25,1),(30,1),(34,1),(36,1),(66,1),(72,1),(82,1)}
        20:{1,3,5,6}:{(9,1),(10,1),(27,1),(37,1),(38,1),(40,1)}
        21:{2,3,5,7}:{(9,1),(11,1),(28,1),(31,1),(38,1)}
        22:{2,4,5,6}:{(10,1),(37,1),(40,1),(41,1),(76,1),(82,1),(118,1)}
        23:{1,4,5,7}:{(10,1),(11,1),(32,1),(38,1),(41,1),(126,1),(153,1)}
        24:{1,2,4}:{(12,1),(42,1)}
        25:{2,3,4}:{(42,1),(44,1)}
        26:{2,4,5}:{(13,1),(44,1),(45,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(20,1),(45,1),(46,1),(60,1),(88,1),(103,1)}
        28:{2,3,4,7}:{(14,1),(21,1),(46,1),(130,1),(143,1)}
        29:{1,2,4,7}:{(15,1),(18,1),(47,1),(48,1)}
        30:{2,3,4,7}:{(19,1),(47,1),(49,1),(91,1),(106,1)}
        31:{2,3,6,7}:{(16,1),(21,1),(50,1)}
        32:{1,4,6,7}:{(16,1),(17,1),(23,1),(50,1),(52,1)}
        33:{2,5,6,7}:{(17,1),(52,1),(53,1),(139,1)}
        34:{1,3,4,6}:{(18,1),(19,1),(42,1),(47,1),(54,1),(55,1),(88,1),(94,1),(103,1)}
        35:{1,2,5}:{(18,1),(55,1)}
        36:{2,3,5}:{(19,1),(55,1),(57,1)}
        37:{2,5,6}:{(20,1),(45,1),(59,1)}
        38:{1,3,5,7}:{(20,1),(21,1),(23,1),(46,1),(50,1),(59,1),(61,1)}
        39:{3,4,5}:{(57,1),(60,1)}
        40:{3,5,6}:{(22,1),(60,1),(61,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(52,1),(59,1),(61,1),(100,1),(106,1),(139,1)}
        42:{1,3,4}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,2,4,5}:{(24,1),(26,1),(35,1),(63,1),(64,1),(79,1),(108,1)}
        44:{2,3,5}:{(25,1),(26,1),(63,1),(66,1)}
        45:{2,4,6}:{(26,1),(27,1),(37,1),(66,1),(67,1)}
        46:{1,3,4,7}:{(27,1),(28,1),(38,1),(67,1),(85,1),(111,1),(126,1)}
        47:{1,3,4,7}:{(29,1),(30,1),(34,1),(68,1),(69,1),(111,1),(126,1)}
        48:{1,2,5,7}:{(29,1),(35,1),(69,1),(70,1)}
        49:{2,3,5,7}:{(30,1),(36,1),(69,1),(71,1),(72,1)}
        50:{1,3,6,7}:{(31,1),(32,1),(38,1),(73,1),(75,1)}
        51:{3,4,5,7}:{(39,1),(71,1),(74,1),(85,1),(120,1)}
        52:{2,4,6,7}:{(32,1),(33,1),(41,1),(73,1),(75,1),(77,1)}
        53:{3,5,6,7}:{(33,1),(75,1),(77,1),(120,1)}
        54:{2,3,4,6}:{(34,1),(62,1),(68,1),(78,1),(109,1),(115,1),(123,1)}
        55:{1,3,5}:{(34,1),(35,1),(36,1),(78,1),(79,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(64,1),(70,1),(80,1),(81,1),(146,1)}
        57:{2,4,5}:{(36,1),(39,1),(79,1),(82,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(40,1),(66,1),(72,1),(80,1),(82,1),(83,1),(118,1)}
        59:{2,5,7}:{(37,1),(38,1),(67,1),(73,1)}
        60:{3,4,6}:{(39,1),(40,1),(82,1),(85,1)}
        61:{3,5,7}:{(40,1),(41,1),(75,1),(85,1)}
        62:{2,3,4}:{(42,1),(86,1)}
        63:{1,3,5}:{(42,1),(43,1),(44,1),(86,1),(88,1)}
        64:{1,2,4,6}:{(43,1),(45,1),(56,1),(88,1),(89,1),(103,1),(129,1)}
        65:{2,3,4,5}:{(44,1),(57,1),(87,1),(90,1)}
        66:{2,3,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{2,4,7}:{(45,1),(46,1),(59,1),(91,1)}
        68:{2,3,4,7}:{(47,1),(54,1),(92,1),(130,1),(143,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(49,1),(55,1),(92,1),(93,1),(94,1)}
        70:{1,2,6}:{(48,1),(94,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(57,1),(93,1),(96,1),(106,1),(139,1)}
        72:{2,3,6}:{(49,1),(94,1),(96,1)}
        73:{2,6,7}:{(50,1),(59,1)}
        74:{3,4,6}:{(51,1),(96,1),(98,1)}
        75:{3,6,7}:{(52,1),(61,1)}
        76:{4,5,6}:{(98,1),(100,1)}
        77:{4,6,7}:{(53,1),(100,1)}
        78:{2,3,5}:{(54,1),(55,1),(101,1)}
        79:{1,4,5}:{(55,1),(57,1),(101,1),(103,1)}
        80:{1,3,5,6}:{(55,1),(56,1),(58,1),(88,1),(94,1),(102,1),(103,1),(104,1),(137,1)}
        81:{1,2,5,7}:{(56,1),(59,1),(89,1),(95,1),(104,1),(159,1)}
        82:{2,4,6}:{(57,1),(58,1),(60,1),(103,1),(106,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(61,1),(91,1),(97,1),(104,1),(106,1),(139,1)}
        84:{3,4,5,6}:{(60,1),(98,1),(105,1),(107,1)}
        85:{3,4,7}:{(60,1),(61,1),(106,1)}
        86:{2,3,5}:{(62,1),(63,1),(108,1),(109,1)}
        87:{1,3,4,5}:{(63,1),(65,1),(79,1),(108,1),(110,1),(122,1)}
        88:{1,3,6}:{(63,1),(64,1),(66,1),(109,1),(111,1)}
        89:{1,2,4,7}:{(64,1),(67,1),(81,1),(111,1),(126,1),(147,1)}
        90:{2,3,4,6}:{(65,1),(66,1),(82,1),(110,1),(112,1),(113,1)}
        91:{2,3,7}:{(66,1),(67,1),(111,1)}
        92:{2,3,5,7}:{(68,1),(69,1),(78,1),(114,1),(115,1)}
        93:{1,4,5,7}:{(69,1),(71,1),(79,1),(114,1),(116,1),(126,1),(153,1)}
        94:{1,3,6}:{(69,1),(70,1),(72,1),(115,1),(116,1)}
        95:{1,2,6,7}:{(70,1),(73,1),(81,1),(117,1),(167,1)}
        96:{2,4,6}:{(71,1),(72,1),(74,1),(116,1),(118,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(75,1),(83,1),(117,1),(119,1)}
        98:{3,5,6}:{(74,1),(76,1),(118,1),(120,1)}
        99:{3,4,6,7}:{(74,1),(75,1),(77,1),(85,1),(119,1),(120,1)}
       100:{4,5,7}:{(76,1),(77,1),(120,1)}
       101:{2,4,5}:{(78,1),(79,1),(122,1),(123,1)}
       102:{2,3,5,6}:{(78,1),(80,1),(109,1),(115,1),(123,1),(124,1),(146,1),(151,1),(155,1)}
       103:{1,4,6}:{(79,1),(80,1),(82,1),(123,1),(126,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(83,1),(111,1),(117,1),(124,1),(126,1),(153,1)}
       105:{2,4,5,6}:{(82,1),(84,1),(112,1),(118,1),(125,1),(127,1)}
       106:{2,4,7}:{(82,1),(83,1),(85,1),(126,1)}
       107:{3,4,5,7}:{(84,1),(85,1),(120,1),(127,1),(128,1)}
       108:{2,4,5}:{(86,1),(87,1),(129,1)}
       109:{2,3,6}:{(86,1),(88,1),(129,1),(130,1)}
       110:{1,3,4,6}:{(87,1),(88,1),(90,1),(103,1),(129,1),(131,1),(132,1),(141,1)}
       111:{1,3,7}:{(88,1),(89,1),(91,1),(130,1)}
       112:{2,3,5,6}:{(90,1),(105,1),(131,1),(133,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(106,1),(132,1),(133,1)}
       114:{2,4,5,7}:{(92,1),(93,1),(101,1),(134,1),(135,1),(143,1),(163,1)}
       115:{2,3,6}:{(92,1),(94,1),(135,1)}
       116:{1,4,6}:{(93,1),(94,1),(96,1),(135,1),(137,1)}
       117:{1,3,6,7}:{(94,1),(95,1),(97,1),(104,1),(136,1),(138,1)}
       118:{2,5,6}:{(96,1),(98,1),(137,1),(139,1)}
       119:{2,4,6,7}:{(96,1),(97,1),(99,1),(106,1),(138,1),(139,1)}
       120:{3,5,7}:{(98,1),(99,1),(100,1),(139,1)}
       121:{4,5,6,7}:{(100,1),(140,1)}
       122:{3,4,5}:{(101,1),(141,1)}
       123:{2,4,6}:{(101,1),(102,1),(103,1),(141,1),(143,1)}
       124:{2,3,5,7}:{(102,1),(104,1),(130,1),(136,1),(143,1),(159,1),(163,1),(165,1)}
       125:{1,4,5,6}:{(103,1),(105,1),(131,1),(137,1),(142,1),(144,1)}
       126:{1,4,7}:{(103,1),(104,1),(106,1),(143,1)}
       127:{2,4,5,7}:{(105,1),(106,1),(107,1),(133,1),(139,1),(144,1),(145,1)}
       128:{3,4,6,7}:{(107,1),(140,1),(145,1)}
       129:{2,4,6}:{(108,1),(109,1),(110,1),(146,1),(147,1)}
       130:{2,3,7}:{(109,1),(111,1),(147,1)}
       131:{1,3,5,6}:{(110,1),(112,1),(125,1),(146,1),(148,1),(155,1)}
       132:{1,3,4,7}:{(110,1),(111,1),(113,1),(126,1),(147,1),(148,1),(156,1)}
       133:{2,3,5,7}:{(112,1),(113,1),(127,1),(148,1),(149,1)}
       134:{3,4,5,7}:{(114,1),(122,1),(150,1),(156,1),(169,1)}
       135:{2,4,6}:{(114,1),(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,6,7}:{(115,1),(117,1),(124,1),(152,1),(167,1),(171,1)}
       137:{1,5,6}:{(116,1),(118,1),(151,1),(153,1)}
       138:{1,4,6,7}:{(116,1),(117,1),(119,1),(126,1),(152,1),(153,1)}
       139:{2,5,7}:{(118,1),(119,1),(120,1),(153,1)}
       140:{3,5,6,7}:{(120,1),(121,1),(128,1),(154,1)}
       141:{3,4,6}:{(122,1),(123,1),(155,1),(156,1)}
       142:{2,4,5,6}:{(123,1),(125,1),(146,1),(151,1),(155,1),(157,1),(168,1)}
       143:{2,4,7}:{(123,1),(124,1),(126,1),(156,1)}
       144:{1,4,5,7}:{(125,1),(126,1),(127,1),(148,1),(153,1),(157,1),(158,1)}
       145:{2,4,6,7}:{(127,1),(128,1),(149,1),(154,1),(158,1)}
       146:{2,5,6}:{(129,1),(131,1),(159,1)}
       147:{2,4,7}:{(129,1),(130,1),(132,1),(159,1)}
       148:{1,3,5,7}:{(131,1),(132,1),(133,1),(144,1),(159,1),(160,1),(165,1)}
       149:{2,3,6,7}:{(133,1),(145,1),(160,1)}
       150:{3,4,6}:{(134,1),(135,1),(161,1)}
       151:{2,5,6}:{(135,1),(137,1),(161,1),(163,1)}
       152:{2,4,6,7}:{(135,1),(136,1),(138,1),(143,1),(162,1),(163,1)}
       153:{1,5,7}:{(137,1),(138,1),(139,1),(163,1)}
       154:{2,5,6,7}:{(139,1),(140,1),(145,1),(164,1)}
       155:{3,5,6}:{(141,1),(142,1),(165,1)}
       156:{3,4,7}:{(141,1),(143,1),(165,1)}
       157:{2,4,5,7}:{(142,1),(143,1),(144,1),(159,1),(163,1),(165,1),(166,1),(172,1)}
       158:{1,4,6,7}:{(144,1),(145,1),(160,1),(164,1),(166,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1),(167,1)}
       160:{1,3,6,7}:{(148,1),(149,1),(158,1),(167,1),(171,1)}
       161:{3,5,6}:{(150,1),(151,1),(168,1),(169,1)}
       162:{3,4,6,7}:{(150,1),(152,1),(156,1),(169,1),(171,1),(174,1)}
       163:{2,5,7}:{(151,1),(152,1),(153,1),(169,1)}
       164:{1,5,6,7}:{(153,1),(154,1),(158,1),(170,1)}
       165:{3,5,7}:{(155,1),(156,1),(157,1),(171,1)}
       166:{2,4,6,7}:{(157,1),(158,1),(167,1),(170,1),(171,1),(174,1)}
       167:{2,6,7}:{(159,1),(160,1)}
       168:{4,5,6}:{(161,1),(172,1)}
       169:{3,5,7}:{(161,1),(162,1),(163,1),(172,1)}
       170:{2,5,6,7}:{(163,1),(164,1),(166,1),(173,1)}
       171:{3,6,7}:{(165,1),(166,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2297 :   0:{3,4,6,7}:{(3,1),(4,1),(21,1),(27,1),(46,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(46,1),(70,1)}
         2:{2,3,5,6}:{(6,1),(7,1),(8,1),(20,1),(29,1),(46,1),(53,1),(54,1),(70,1),(103,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(11,1),(15,1),(33,1)}
         4:{3,5,7}:{(0,1),(9,1),(11,1),(12,1)}
         5:{1,3,6,7}:{(1,1),(10,1),(13,1),(14,1),(34,1),(58,1),(81,1)}
         6:{2,3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1),(37,1),(61,1),(62,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(32,1),(41,1),(42,1),(56,1),(58,1),(66,1),(67,1),(81,1)}
         8:{2,4,6}:{(2,1),(15,1),(16,1),(18,1),(19,1),(104,1)}
         9:{3,5,6}:{(4,1),(20,1),(21,1),(46,1),(103,1)}
        10:{1,4,6,7}:{(3,1),(5,1),(22,1),(23,1),(26,1),(45,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{4,5,7}:{(4,1),(21,1)}
        13:{2,6,7}:{(5,1),(25,1),(70,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(7,1),(23,1),(25,1),(26,1),(47,1),(50,1),(73,1),(74,1)}
        15:{2,4,7}:{(6,1),(8,1),(26,1),(27,1)}
        16:{2,4,5}:{(8,1),(28,1),(29,1),(53,1),(92,1)}
        17:{2,5,6}:{(7,1),(25,1),(30,1),(53,1),(70,1),(77,1)}
        18:{1,4,6}:{(7,1),(8,1),(26,1),(28,1),(30,1),(68,1)}
        19:{3,4,6}:{(8,1),(27,1),(29,1),(46,1)}
        20:{2,5,6}:{(9,1),(11,1),(32,1),(33,1),(101,1)}
        21:{4,6}:{(9,1),(12,1),(104,1)}
        22:{2,4,6,7}:{(10,1),(13,1),(34,1),(35,1),(38,1),(57,1),(59,1)}
        23:{1,5,7}:{(10,1),(11,1),(32,1),(35,1)}
        24:{2,4,5,7}:{(11,1),(12,1),(15,1),(16,1),(33,1),(36,1),(37,1),(61,1),(96,1),(101,1),(104,1)}
        25:{2,5,7}:{(13,1),(14,1),(17,1),(38,1),(84,1)}
        26:{1,4,7}:{(14,1),(15,1),(18,1),(38,1),(59,1)}
        27:{3,4,7}:{(15,1),(19,1),(37,1),(104,1)}
        28:{1,4,5}:{(16,1),(18,1),(40,1),(41,1),(66,1),(78,1),(85,1),(104,1)}
        29:{3,5}:{(16,1),(19,1),(97,1)}
        30:{2,4,6}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(43,1),(58,1),(64,1),(67,1),(79,1),(85,1),(94,1),(97,1),(102,1),(104,1)}
        32:{1,5,6}:{(20,1),(23,1),(44,1),(45,1),(98,1)}
        33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1),(46,1),(70,1)}
        34:{3,6,7}:{(22,1),(47,1),(50,1),(69,1)}
        35:{2,5,7}:{(22,1),(23,1),(44,1),(47,1)}
        36:{1,4,5,7}:{(23,1),(24,1),(26,1),(28,1),(45,1),(48,1),(49,1),(73,1),(90,1),(98,1)}
        37:{3,5,7}:{(24,1),(27,1),(29,1),(46,1),(100,1),(103,1)}
        38:{2,4,7}:{(25,1),(26,1),(30,1),(50,1)}
        39:{1,3,4,7}:{(26,1),(27,1),(31,1),(49,1),(50,1),(51,1),(71,1),(74,1),(90,1),(100,1)}
        40:{2,4,5}:{(28,1),(30,1),(52,1),(53,1),(75,1)}
        41:{1,3,5}:{(28,1),(29,1),(31,1),(52,1),(53,1),(87,1),(98,1),(103,1)}
        42:{3,6}:{(30,1),(50,1),(52,1)}
        43:{2,4,6}:{(31,1),(51,1),(53,1),(54,1),(55,1),(70,1),(75,1),(77,1),(92,1)}
        44:{2,5,6}:{(32,1),(35,1),(56,1),(57,1),(93,1)}
        45:{1,4,6}:{(32,1),(33,1),(36,1),(57,1),(58,1),(81,1)}
        46:{3,6}:{(33,1),(37,1)}
        47:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
        48:{2,4,5,7}:{(35,1),(36,1),(38,1),(40,1),(57,1),(59,1),(60,1),(61,1),(78,1),(82,1),(93,1)}
        49:{1,3,5,7}:{(36,1),(37,1),(39,1),(41,1),(58,1),(60,1),(61,1)}
        50:{3,7}:{(38,1),(42,1)}
        51:{2,4,7}:{(39,1),(43,1),(61,1),(62,1),(63,1),(84,1)}
        52:{3,5}:{(40,1),(42,1),(64,1)}
        53:{2,5}:{(41,1),(43,1),(66,1)}
        54:{2,3,6}:{(42,1),(43,1),(62,1),(65,1),(67,1),(97,1),(102,1)}
        55:{1,4,6}:{(43,1),(63,1),(66,1),(67,1),(81,1),(85,1)}
        56:{3,5,6}:{(44,1),(47,1),(68,1),(69,1),(87,1)}
        57:{2,4,6}:{(44,1),(45,1),(48,1),(68,1),(69,1),(70,1)}
        58:{1,3,6}:{(45,1),(46,1),(49,1),(69,1),(70,1)}
        59:{4,7}:{(47,1),(68,1)}
        60:{3,5,7}:{(48,1),(50,1),(52,1),(69,1),(71,1),(87,1)}
        61:{2,5,7}:{(49,1),(51,1),(53,1),(70,1),(73,1)}
        62:{2,3,7}:{(50,1),(51,1),(54,1),(74,1),(100,1)}
        63:{1,4,7}:{(51,1),(55,1),(73,1),(74,1)}
        64:{3,4}:{(52,1),(75,1)}
        65:{2,3,5}:{(52,1),(53,1),(54,1),(75,1),(76,1),(103,1)}
        66:{1,5}:{(53,1),(55,1)}
        67:{1,3,6}:{(54,1),(55,1),(74,1),(76,1),(77,1)}
        68:{4,6}:{(56,1),(59,1),(78,1)}
        69:{3,6}:{(57,1),(60,1)}
        70:{2,6}:{(58,1),(61,1),(81,1)}
        71:{3,4,7}:{(59,1),(60,1),(64,1),(79,1),(82,1)}
        72:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(80,1),(82,1),(83,1),(93,1)}
        73:{1,5,7}:{(61,1),(63,1),(66,1),(81,1)}
        74:{1,3,7}:{(62,1),(63,1),(67,1),(84,1)}
        75:{2,4}:{(64,1),(65,1),(85,1),(104,1)}
        76:{1,3,5}:{(65,1),(66,1),(67,1),(85,1),(86,1),(97,1)}
        77:{2,6}:{(67,1),(84,1),(86,1)}
        78:{4,5}:{(68,1),(87,1)}
        79:{3,4,6}:{(68,1),(69,1),(71,1),(87,1),(88,1)}
        80:{2,3,6}:{(69,1),(70,1),(72,1),(88,1),(89,1)}
        81:{1,6}:{(70,1),(73,1)}
        82:{2,4,7}:{(71,1),(72,1),(75,1),(88,1),(90,1)}
        83:{1,3,5,7}:{(72,1),(73,1),(74,1),(76,1),(89,1),(90,1),(91,1),(98,1),(100,1),(103,1)}
        84:{2,7}:{(74,1),(77,1)}
        85:{1,4}:{(75,1),(76,1),(92,1)}
        86:{2,5}:{(76,1),(77,1),(92,1)}
        87:{3,5}:{(78,1),(79,1),(93,1)}
        88:{2,4,6}:{(79,1),(80,1),(82,1),(93,1),(94,1)}
        89:{1,3,6}:{(80,1),(81,1),(83,1),(94,1),(95,1),(102,1)}
        90:{1,4,7}:{(82,1),(83,1),(85,1),(94,1),(96,1),(104,1)}
        91:{2,5,7}:{(83,1),(84,1),(86,1),(95,1),(96,1),(101,1)}
        92:{2,4}:{(85,1),(86,1),(97,1)}
        93:{2,5}:{(87,1),(88,1),(98,1)}
        94:{1,4,6}:{(88,1),(89,1),(90,1),(98,1),(99,1)}
        95:{2,6}:{(89,1),(91,1)}
        96:{2,4,7}:{(90,1),(91,1),(92,1),(99,1),(100,1)}
        97:{3}:{(92,1)}
        98:{1,5}:{(93,1),(94,1),(101,1)}
        99:{2,4,6}:{(94,1),(95,1),(96,1),(101,1),(102,1),(104,1)}
       100:{3,7}:{(96,1),(97,1),(102,1)}
       101:{2,5}:{(98,1),(99,1),(103,1)}
       102:{3,6}:{(99,1),(100,1),(103,1)}
       103:{3,5}:{(101,1),(102,1),(104,1)}
       104:{4}:{(103,1)}

2298 :   0:{1,2,3,7}:{(1,1),(2,1),(89,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(6,1),(64,1),(67,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(134,1)}
         3:{2,3,4,7}:{(4,1),(8,1),(9,1),(72,1),(109,1)}
         4:{1,3,4,7}:{(2,1),(3,1),(11,1),(12,1),(13,1),(85,1),(89,1),(124,1)}
         5:{1,2,3,5}:{(1,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(86,1),(123,1)}
         7:{1,2,5,7}:{(2,1),(13,1),(15,1),(16,1)}
         8:{2,3,4,6}:{(3,1),(12,1),(18,1),(19,1),(43,1),(50,1),(88,1)}
         9:{2,3,5,7}:{(3,1),(13,1),(17,1),(18,1),(19,1)}
        10:{3,4,5,7}:{(17,1),(20,1),(49,1),(53,1),(93,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(22,1),(100,1),(109,1)}
        12:{1,3,4,6}:{(4,1),(6,1),(8,1),(21,1),(24,1),(25,1),(26,1),(62,1),(65,1),(67,1),(108,1)}
        13:{1,3,5,7}:{(4,1),(7,1),(9,1),(22,1),(23,1),(24,1),(25,1)}
        14:{1,2,4}:{(5,1),(26,1)}
        15:{1,2,5}:{(6,1),(24,1)}
        16:{1,2,6}:{(7,1),(25,1)}
        17:{2,4,5,7}:{(9,1),(10,1),(23,1),(30,1),(31,1),(70,1),(72,1)}
        18:{2,3,5}:{(8,1),(24,1),(31,1)}
        19:{2,3,6}:{(9,1),(25,1),(30,1)}
        20:{3,4,6}:{(10,1),(30,1),(34,1)}
        21:{2,3,4,6}:{(11,1),(12,1),(37,1),(38,1),(43,1),(79,1),(88,1)}
        22:{2,3,5,7}:{(11,1),(13,1),(36,1),(37,1),(38,1)}
        23:{1,4,5,7}:{(13,1),(17,1),(36,1),(39,1),(40,1),(82,1),(85,1)}
        24:{1,3,5}:{(12,1),(15,1),(18,1),(37,1),(40,1)}
        25:{1,3,6}:{(13,1),(16,1),(19,1),(38,1),(39,1)}
        26:{1,3,4}:{(14,1),(43,1),(44,1)}
        27:{1,2,4,5}:{(14,1),(15,1),(40,1),(44,1),(45,1),(83,1)}
        28:{1,2,5,6}:{(15,1),(16,1),(41,1),(45,1),(46,1),(119,1),(123,1)}
        29:{1,2,6,7}:{(16,1),(42,1),(46,1),(137,1)}
        30:{2,4,6}:{(17,1),(19,1),(20,1),(39,1),(47,1)}
        31:{2,4,5}:{(18,1),(40,1),(49,1),(50,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(41,1),(47,1),(50,1),(51,1),(88,1),(91,1),(119,1)}
        33:{2,3,6,7}:{(19,1),(42,1),(48,1),(51,1),(125,1),(137,1)}
        34:{3,5,6}:{(20,1),(47,1),(52,1),(53,1)}
        35:{3,4,6,7}:{(20,1),(48,1),(53,1),(93,1),(94,1),(125,1)}
        36:{2,4,5,7}:{(22,1),(23,1),(54,1),(55,1),(56,1),(98,1),(100,1)}
        37:{2,3,5}:{(21,1),(24,1),(56,1)}
        38:{2,3,6}:{(22,1),(25,1),(55,1)}
        39:{1,4,6}:{(23,1),(25,1),(30,1),(55,1),(59,1)}
        40:{1,4,5}:{(24,1),(31,1),(56,1),(62,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(28,1),(32,1),(57,1),(59,1),(62,1),(63,1),(67,1),(108,1),(131,1)}
        42:{1,3,6,7}:{(25,1),(29,1),(33,1),(58,1),(60,1),(63,1),(139,1)}
        43:{2,3,4}:{(26,1),(65,1),(66,1)}
        44:{1,3,5}:{(26,1),(27,1),(66,1),(67,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(62,1),(67,1),(68,1),(105,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(63,1),(68,1),(132,1),(134,1)}
        47:{2,5,6}:{(30,1),(34,1),(59,1),(70,1)}
        48:{2,4,6,7}:{(30,1),(33,1),(35,1),(60,1),(70,1),(72,1)}
        49:{3,4,5}:{(31,1),(71,1)}
        50:{2,4,6}:{(31,1),(32,1),(62,1),(71,1),(72,1)}
        51:{2,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(109,1),(111,1),(132,1)}
        52:{4,5,6}:{(34,1),(74,1)}
        53:{3,5,7}:{(34,1),(35,1),(70,1),(74,1)}
        54:{3,4,5,7}:{(36,1),(75,1),(78,1),(113,1),(117,1)}
        55:{2,4,6}:{(36,1),(38,1),(39,1),(75,1),(76,1)}
        56:{2,4,5}:{(37,1),(40,1),(78,1),(79,1)}
        57:{2,3,5,6}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(88,1),(115,1),(119,1)}
        58:{2,3,6,7}:{(38,1),(42,1),(77,1),(80,1),(136,1),(137,1)}
        59:{1,5,6}:{(39,1),(47,1),(76,1),(82,1)}
        60:{1,4,6,7}:{(39,1),(42,1),(48,1),(77,1),(82,1),(85,1)}
        61:{1,3,4,5}:{(40,1),(44,1),(49,1),(78,1),(83,1),(84,1)}
        62:{1,4,6}:{(40,1),(41,1),(50,1),(79,1),(85,1)}
        63:{1,3,5,7}:{(41,1),(42,1),(46,1),(51,1),(80,1),(82,1),(85,1),(89,1),(124,1),(138,1)}
        64:{1,2,3}:{(86,1)}
        65:{1,3,4}:{(43,1),(86,1),(87,1)}
        66:{2,3,5}:{(43,1),(44,1),(83,1),(87,1),(88,1)}
        67:{1,3,6}:{(44,1),(45,1),(88,1),(89,1)}
        68:{1,2,4,7}:{(45,1),(46,1),(85,1),(89,1),(122,1)}
        69:{2,4,5,6}:{(47,1),(50,1),(52,1),(81,1),(91,1),(92,1),(119,1)}
        70:{2,5,7}:{(47,1),(48,1),(53,1),(82,1)}
        71:{3,4,6}:{(49,1),(50,1),(91,1),(93,1)}
        72:{2,4,7}:{(50,1),(51,1),(85,1),(93,1)}
        73:{3,5,6,7}:{(53,1),(90,1),(94,1),(125,1)}
        74:{4,5,7}:{(52,1),(53,1),(94,1)}
        75:{3,4,6}:{(54,1),(55,1),(95,1)}
        76:{2,5,6}:{(55,1),(59,1),(95,1),(98,1)}
        77:{2,4,6,7}:{(55,1),(58,1),(60,1),(96,1),(98,1),(100,1)}
        78:{3,4,5}:{(56,1),(99,1)}
        79:{2,4,6}:{(56,1),(57,1),(62,1),(99,1),(100,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(109,1),(129,1),(132,1)}
        81:{1,4,5,6}:{(59,1),(62,1),(69,1),(97,1),(102,1),(103,1),(131,1)}
        82:{1,5,7}:{(59,1),(60,1),(70,1),(98,1)}
        83:{2,4,5}:{(61,1),(66,1),(104,1),(105,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(67,1),(71,1),(99,1),(102,1),(105,1),(106,1)}
        85:{1,4,7}:{(62,1),(63,1),(72,1),(100,1)}
        86:{1,2,4}:{(64,1),(65,1),(107,1)}
        87:{1,3,5}:{(65,1),(66,1),(104,1),(107,1),(108,1)}
        88:{2,3,6}:{(66,1),(67,1),(105,1),(108,1),(109,1)}
        89:{1,3,7}:{(67,1),(68,1),(109,1)}
        90:{2,5,6,7}:{(70,1),(73,1),(101,1),(110,1)}
        91:{3,5,6}:{(69,1),(71,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(72,1),(74,1),(103,1),(110,1),(111,1),(132,1)}
        93:{3,4,7}:{(71,1),(72,1),(111,1)}
        94:{4,6,7}:{(73,1),(74,1)}
        95:{3,5,6}:{(75,1),(76,1),(112,1),(113,1)}
        96:{3,4,6,7}:{(75,1),(77,1),(113,1),(117,1),(135,1),(136,1)}
        97:{2,4,5,6}:{(76,1),(79,1),(81,1),(112,1),(115,1),(116,1),(119,1)}
        98:{2,5,7}:{(76,1),(77,1),(82,1),(113,1)}
        99:{3,4,6}:{(78,1),(79,1),(115,1),(117,1)}
       100:{2,4,7}:{(79,1),(80,1),(85,1),(117,1)}
       101:{1,5,6,7}:{(82,1),(90,1),(114,1),(118,1)}
       102:{1,3,5,6}:{(81,1),(84,1),(91,1),(115,1),(119,1),(120,1)}
       103:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(116,1),(118,1),(120,1),(138,1)}
       104:{1,4,5}:{(83,1),(87,1),(121,1)}
       105:{2,4,6}:{(83,1),(84,1),(88,1),(119,1),(121,1),(122,1)}
       106:{1,3,4,7}:{(84,1),(85,1),(89,1),(93,1),(117,1),(120,1),(122,1)}
       107:{1,2,5}:{(86,1),(87,1),(123,1)}
       108:{1,3,6}:{(87,1),(88,1),(121,1),(123,1),(124,1)}
       109:{2,3,7}:{(88,1),(89,1),(122,1),(124,1)}
       110:{2,4,6,7}:{(90,1),(92,1),(94,1),(118,1),(125,1),(137,1)}
       111:{3,5,7}:{(91,1),(92,1),(93,1),(125,1)}
       112:{4,5,6}:{(95,1),(127,1)}
       113:{3,5,7}:{(95,1),(96,1),(98,1),(127,1)}
       114:{2,5,6,7}:{(98,1),(101,1),(126,1),(128,1)}
       115:{3,5,6}:{(97,1),(99,1),(129,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(100,1),(103,1),(127,1),(128,1),(129,1),(132,1)}
       117:{3,4,7}:{(99,1),(100,1),(129,1)}
       118:{1,4,6,7}:{(101,1),(103,1),(110,1),(128,1),(130,1),(139,1)}
       119:{2,5,6}:{(102,1),(105,1),(131,1),(132,1)}
       120:{1,3,5,7}:{(102,1),(103,1),(106,1),(111,1),(129,1),(130,1),(132,1)}
       121:{1,4,6}:{(104,1),(105,1),(108,1),(131,1),(133,1)}
       122:{2,4,7}:{(105,1),(106,1),(109,1),(132,1),(133,1)}
       123:{1,2,6}:{(107,1),(108,1),(134,1)}
       124:{1,3,7}:{(108,1),(109,1),(133,1),(134,1)}
       125:{3,6,7}:{(110,1),(111,1)}
       126:{3,5,6,7}:{(113,1),(114,1),(135,1),(136,1)}
       127:{4,5,7}:{(112,1),(113,1),(135,1)}
       128:{2,4,6,7}:{(114,1),(116,1),(118,1),(135,1),(136,1),(137,1)}
       129:{3,5,7}:{(115,1),(116,1),(117,1),(136,1)}
       130:{1,3,6,7}:{(118,1),(120,1),(125,1),(136,1),(137,1)}
       131:{1,5,6}:{(119,1),(121,1),(138,1)}
       132:{2,5,7}:{(119,1),(120,1),(122,1),(137,1),(138,1)}
       133:{1,4,7}:{(121,1),(122,1),(124,1),(138,1)}
       134:{1,2,7}:{(123,1),(124,1)}
       135:{4,6,7}:{(126,1),(127,1)}
       136:{3,6,7}:{(128,1),(129,1)}
       137:{2,6,7}:{(130,1),(132,1),(139,1)}
       138:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2299 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(14,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(14,1),(15,1),(16,1)}
        9:{1,2,6}:{(4,1),(16,1),(17,1)}
       10:{2,4,5}:{(5,1),(6,1),(15,1),(18,1)}
       11:{2,3,6}:{(5,1),(16,1),(18,1),(19,1)}
       12:{3,4,6}:{(6,1),(18,1),(20,1),(21,1)}
       13:{4,5,6}:{(20,1),(22,1)}
       14:{2,3,5}:{(7,1),(8,1),(23,1),(24,1)}
       15:{1,4,5}:{(8,1),(10,1),(23,1),(25,1)}
       16:{1,3,6}:{(8,1),(9,1),(11,1),(24,1),(25,1),(26,1)}
       17:{1,2,7}:{(9,1),(26,1)}
       18:{2,4,6}:{(10,1),(11,1),(12,1),(25,1),(27,1),(28,1)}
       19:{2,3,7}:{(11,1),(26,1),(28,1)}
       20:{3,5,6}:{(12,1),(13,1),(27,1),(29,1)}
       21:{3,4,7}:{(12,1),(28,1),(29,1)}
       22:{4,5,7}:{(13,1),(29,1),(30,1)}
       23:{2,4,5}:{(14,1),(15,1),(31,1),(32,1)}
       24:{2,3,6}:{(14,1),(16,1),(32,1),(33,1)}
       25:{1,4,6}:{(15,1),(16,1),(18,1),(32,1),(34,1),(35,1)}
       26:{1,3,7}:{(16,1),(17,1),(19,1),(33,1),(35,1)}
       27:{2,5,6}:{(18,1),(20,1),(34,1),(36,1)}
       28:{2,4,7}:{(18,1),(19,1),(21,1),(35,1),(36,1)}
       29:{3,5,7}:{(20,1),(21,1),(22,1),(36,1),(37,1)}
       30:{4,6,7}:{(22,1),(37,1),(38,1)}
       31:{3,4,5}:{(23,1),(39,1)}
       32:{2,4,6}:{(23,1),(24,1),(25,1),(39,1),(40,1),(41,1)}
       33:{2,3,7}:{(24,1),(26,1),(41,1)}
       34:{1,5,6}:{(25,1),(27,1),(40,1),(42,1)}
       35:{1,4,7}:{(25,1),(26,1),(28,1),(41,1),(42,1)}
       36:{2,5,7}:{(27,1),(28,1),(29,1),(42,1),(43,1)}
       37:{3,6,7}:{(29,1),(30,1),(43,1)}
       38:{5,6,7}:{(30,1)}
       39:{3,4,6}:{(31,1),(32,1),(44,1),(45,1)}
       40:{2,5,6}:{(32,1),(34,1),(44,1),(46,1)}
       41:{2,4,7}:{(32,1),(33,1),(35,1),(45,1),(46,1)}
       42:{1,5,7}:{(34,1),(35,1),(36,1),(46,1),(47,1)}
       43:{2,6,7}:{(36,1),(37,1),(47,1)}
       44:{3,5,6}:{(39,1),(40,1),(48,1),(49,1)}
       45:{3,4,7}:{(39,1),(41,1),(49,1)}
       46:{2,5,7}:{(40,1),(41,1),(42,1),(49,1),(50,1)}
       47:{1,6,7}:{(42,1),(43,1),(50,1)}
       48:{4,5,6}:{(44,1),(51,1)}
       49:{3,5,7}:{(44,1),(45,1),(46,1),(51,1),(52,1)}
       50:{2,6,7}:{(46,1),(47,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

2300 :   0:{1,2,3,5,6,7}:{(1,1),(6,1),(16,1),(22,1),(65,1),(68,1),(81,1),(84,1),(87,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(24,1),(32,1),(55,1),(71,1),(97,1),(98,1)}
         2:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(17,1),(42,1),(65,1)}
         3:{1,3,4,6,7}:{(1,1),(6,1),(7,1),(15,1),(84,1),(88,1)}
         4:{1,2,4,5,6,7}:{(5,1),(8,1),(21,1),(42,1),(65,1),(67,1)}
         5:{1,2,4,5,6}:{(2,1),(9,1),(24,1),(46,1),(69,1),(71,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(9,1),(11,1)}
         7:{2,3,4,6,7}:{(3,1),(11,1),(12,1),(24,1),(55,1),(72,1),(76,1)}
         8:{1,3,5,6,7}:{(4,1),(9,1),(13,1),(14,1),(53,1),(80,1)}
         9:{1,3,5,6}:{(5,1),(6,1),(15,1),(16,1),(84,1)}
        10:{1,3,4,5,7}:{(6,1),(15,1),(17,1)}
        11:{2,3,5,7}:{(6,1),(7,1),(16,1),(17,1),(18,1),(65,1)}
        12:{1,3,4,6,7}:{(7,1),(18,1),(19,1),(36,1),(60,1),(64,1)}
        13:{1,3,4,6,7}:{(8,1),(15,1),(20,1),(21,1)}
        14:{2,3,5,6,7}:{(8,1),(16,1),(21,1),(22,1),(41,1),(65,1),(68,1)}
        15:{1,3,4,6}:{(9,1),(10,1),(24,1)}
        16:{2,3,5,6}:{(9,1),(11,1),(24,1),(25,1),(69,1),(72,1)}
        17:{2,4,5,7}:{(10,1),(11,1),(24,1),(27,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(25,1),(27,1),(28,1)}
        19:{1,2,4,6,7}:{(12,1),(28,1),(29,1),(48,1),(52,1),(55,1)}
        20:{1,3,4,5,7}:{(13,1),(23,1),(30,1),(53,1),(79,1)}
        21:{2,4,6,7}:{(13,1),(14,1),(24,1),(30,1),(32,1)}
        22:{1,3,5,6,7}:{(14,1),(25,1),(32,1),(33,1),(53,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(20,1),(34,1),(57,1),(83,1)}
        24:{2,4,6}:{(15,1),(16,1),(17,1),(36,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(36,1),(37,1),(60,1)}
        26:{2,3,4,5,7}:{(17,1),(35,1),(38,1),(41,1),(63,1),(90,1),(100,1)}
        27:{1,4,5,7}:{(17,1),(18,1),(36,1)}
        28:{1,2,5,7}:{(18,1),(19,1),(37,1),(65,1)}
        29:{1,2,3,6,7}:{(19,1),(40,1),(60,1),(68,1)}
        30:{2,4,5,7}:{(20,1),(21,1),(34,1),(41,1),(42,1),(65,1),(90,1)}
        31:{2,3,4,6,7}:{(21,1),(35,1),(41,1),(43,1),(68,1),(90,1)}
        32:{1,4,6,7}:{(21,1),(22,1),(36,1),(42,1)}
        33:{1,2,5,6,7}:{(22,1),(37,1),(44,1),(65,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(30,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,4,6}:{(24,1),(26,1),(45,1),(47,1),(72,1),(92,1)}
        36:{1,4,6}:{(24,1),(25,1),(27,1)}
        37:{1,2,5,6}:{(25,1),(28,1),(48,1),(69,1)}
        38:{1,3,4,5,7}:{(26,1),(27,1),(47,1),(50,1),(51,1),(53,1),(75,1),(79,1),(93,1),(98,1),(103,1)}
        39:{1,2,4,5,7}:{(27,1),(28,1),(48,1),(50,1),(51,1),(52,1),(74,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(49,1),(51,1),(52,1),(78,1)}
        41:{2,3,5,7}:{(30,1),(31,1),(45,1),(53,1)}
        42:{1,4,5,7}:{(30,1),(32,1),(46,1),(53,1),(98,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(47,1),(53,1),(55,1),(56,1),(79,1),(80,1),(98,1)}
        44:{1,2,4,6,7}:{(32,1),(33,1),(48,1),(54,1),(55,1),(56,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(41,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(42,1),(57,1),(99,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(38,1),(57,1),(59,1),(60,1),(84,1),(99,1)}
        48:{1,2,4,6}:{(36,1),(37,1),(39,1),(59,1),(60,1)}
        49:{1,2,3,5,6}:{(37,1),(40,1),(60,1),(61,1),(82,1),(86,1)}
        50:{2,4,5,7}:{(38,1),(59,1),(63,1),(65,1),(90,1),(100,1)}
        51:{1,3,5,7}:{(39,1),(60,1),(63,1),(64,1),(86,1)}
        52:{1,2,4,7}:{(40,1),(61,1),(64,1),(90,1)}
        53:{1,3,5,7}:{(41,1),(42,1),(43,1),(57,1),(65,1)}
        54:{1,2,4,5,7}:{(42,1),(44,1),(58,1),(65,1),(66,1),(90,1)}
        55:{2,4,6,7}:{(43,1),(59,1),(65,1),(68,1),(90,1)}
        56:{1,3,6,7}:{(44,1),(60,1),(66,1),(68,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(53,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(54,1),(69,1),(70,1),(74,1),(92,1)}
        59:{2,4,6}:{(47,1),(50,1),(69,1),(72,1)}
        60:{1,3,6}:{(48,1),(51,1),(72,1)}
        61:{1,2,4,6}:{(49,1),(52,1),(73,1),(74,1),(92,1)}
        62:{1,2,4,5,7}:{(50,1),(71,1),(75,1),(77,1),(97,1),(98,1),(103,1),(104,1)}
        63:{2,3,5,7}:{(50,1),(51,1),(72,1),(75,1),(76,1),(96,1)}
        64:{1,3,4,7}:{(51,1),(52,1),(73,1),(76,1)}
        65:{2,5,7}:{(53,1),(55,1),(69,1)}
        66:{1,3,5,7}:{(54,1),(56,1),(70,1),(78,1),(79,1)}
        67:{1,2,4,6,7}:{(55,1),(71,1),(77,1),(80,1),(98,1)}
        68:{2,3,6,7}:{(55,1),(56,1),(72,1),(78,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(65,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(66,1),(82,1),(83,1),(86,1)}
        71:{1,2,4,6}:{(59,1),(62,1),(81,1),(84,1),(99,1)}
        72:{2,3,6}:{(59,1),(60,1),(63,1),(84,1)}
        73:{1,3,4,6}:{(60,1),(61,1),(64,1),(85,1),(86,1)}
        74:{1,2,4,5}:{(61,1),(86,1),(100,1)}
        75:{1,3,5,7}:{(62,1),(63,1),(84,1),(88,1),(102,1)}
        76:{2,3,4,7}:{(63,1),(64,1),(85,1),(88,1),(90,1)}
        77:{1,2,5,7}:{(65,1),(67,1),(81,1),(89,1)}
        78:{2,3,5,7}:{(65,1),(66,1),(68,1),(82,1),(89,1),(90,1)}
        79:{1,3,4,7}:{(66,1),(83,1),(90,1)}
        80:{1,3,6,7}:{(67,1),(68,1),(84,1),(89,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(77,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(78,1),(91,1),(92,1),(96,1)}
        83:{1,3,4,6}:{(70,1),(79,1),(92,1),(93,1)}
        84:{1,3,6}:{(71,1),(72,1),(75,1)}
        85:{2,3,4,6}:{(72,1),(73,1),(76,1),(92,1),(95,1),(96,1)}
        86:{1,3,5}:{(73,1),(74,1),(96,1)}
        87:{1,2,3,5,7}:{(75,1),(94,1),(97,1),(104,1)}
        88:{1,3,4,7}:{(75,1),(76,1),(95,1),(97,1),(98,1)}
        89:{1,3,5,7}:{(77,1),(78,1),(80,1),(91,1),(98,1)}
        90:{2,4,7}:{(78,1),(79,1),(92,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(89,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(90,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(86,1),(100,1)}
        94:{1,2,3,6}:{(84,1),(87,1),(101,1)}
        95:{1,3,4,6}:{(84,1),(85,1),(88,1),(99,1),(101,1),(102,1)}
        96:{2,3,5}:{(85,1),(86,1),(100,1),(102,1)}
        97:{1,2,4,7}:{(87,1),(88,1),(101,1)}
        98:{1,4,7}:{(89,1),(90,1),(99,1)}
        99:{1,4,6}:{(91,1),(92,1),(98,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(96,1),(103,1)}
       101:{1,2,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5}:{(95,1),(96,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2301 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(23,1),(55,1),(116,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(34,1),(72,1),(107,1),(108,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(33,1),(105,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(49,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(21,1),(92,1),(94,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(51,1),(55,1),(90,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(32,1),(43,1),(64,1),(80,1),(100,1),(104,1),(107,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(67,1),(102,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(36,1),(72,1),(74,1),(77,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(75,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(59,1),(82,1),(95,1),(111,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(21,1),(22,1),(50,1),(89,1),(92,1)}
        13:{2,3,4,6}:{(7,1),(20,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(88,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(58,1),(91,1)}
        17:{2,4,5,6,7}:{(10,1),(27,1),(28,1),(90,1),(93,1)}
        18:{1,2,3,5,6}:{(19,1),(29,1),(30,1),(59,1),(95,1),(97,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(33,1),(67,1),(102,1),(104,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(32,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(12,1),(15,1),(36,1),(37,1),(70,1),(74,1),(80,1),(100,1)}
        23:{2,3,4,5}:{(13,1),(34,1),(67,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1),(36,1),(102,1)}
        26:{2,5,6,7}:{(15,1),(16,1),(104,1)}
        27:{1,4,5,6,7}:{(16,1),(17,1),(41,1),(74,1),(107,1)}
        28:{3,4,5,6,7}:{(17,1),(106,1),(108,1)}
        29:{1,2,4,6}:{(18,1),(32,1),(42,1),(43,1),(44,1)}
        30:{1,2,3,5,7}:{(18,1),(33,1),(44,1),(45,1),(78,1),(81,1)}
        31:{1,2,3,5,6}:{(19,1),(46,1),(47,1),(82,1),(111,1),(113,1)}
        32:{2,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        33:{2,3,5,7}:{(19,1),(21,1),(50,1),(51,1),(89,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(49,1),(59,1),(82,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(50,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(25,1),(51,1),(95,1),(111,1)}
        37:{1,2,5,6,7}:{(22,1),(26,1),(54,1),(89,1),(97,1),(113,1)}
        38:{2,3,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(56,1),(86,1),(115,1)}
        39:{2,3,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(57,1),(58,1),(114,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(57,1),(58,1),(116,1)}
        42:{1,3,4,6}:{(29,1),(48,1),(59,1),(60,1),(95,1)}
        43:{1,2,4,5}:{(29,1),(49,1),(59,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(60,1)}
        45:{1,2,3,6,7}:{(30,1),(51,1),(62,1),(95,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(64,1),(65,1)}
        47:{1,2,3,5,7}:{(31,1),(33,1),(65,1),(66,1),(98,1),(101,1)}
        48:{2,3,4,6}:{(32,1),(42,1),(63,1),(67,1),(68,1),(102,1)}
        49:{2,4,5}:{(32,1),(34,1),(67,1)}
        50:{2,4,7}:{(32,1),(33,1),(35,1)}
        51:{2,3,6,7}:{(33,1),(36,1),(70,1),(102,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(73,1),(78,1),(98,1),(110,1),(120,1),(122,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(72,1),(73,1),(74,1),(106,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(71,1),(73,1),(74,1),(109,1),(119,1)}
        55:{2,3,4,6}:{(38,1),(72,1),(75,1),(102,1),(121,1)}
        56:{2,3,5,7}:{(39,1),(73,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(40,1),(74,1),(76,1),(77,1),(121,1)}
        58:{3,5,6,7}:{(41,1),(77,1),(123,1)}
        59:{1,3,5}:{(42,1),(43,1),(67,1)}
        60:{1,3,4,7}:{(42,1),(44,1),(68,1),(78,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(69,1),(78,1),(80,1),(81,1),(110,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(79,1),(80,1),(81,1)}
        63:{1,3,4,6}:{(46,1),(48,1),(82,1),(83,1),(111,1)}
        64:{1,2,4,5}:{(46,1),(49,1),(82,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(83,1)}
        66:{1,2,3,6,7}:{(47,1),(51,1),(85,1),(111,1)}
        67:{2,3,5}:{(48,1),(49,1),(59,1),(82,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(60,1),(83,1),(86,1)}
        69:{2,4,5,7}:{(49,1),(50,1),(52,1),(86,1),(88,1),(89,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(53,1),(88,1),(89,1)}
        71:{2,3,5,6,7}:{(51,1),(54,1),(89,1),(90,1),(114,1),(117,1)}
        72:{1,3,4,6}:{(52,1),(55,1),(88,1),(91,1),(95,1),(111,1),(118,1),(124,1),(125,1)}
        73:{1,3,5,7}:{(53,1),(56,1),(89,1),(91,1),(92,1),(117,1)}
        74:{1,4,6,7}:{(54,1),(57,1),(90,1),(92,1),(118,1),(124,1)}
        75:{2,3,5,6}:{(55,1),(56,1),(91,1),(93,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(94,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(94,1),(125,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(61,1),(86,1),(95,1)}
        79:{1,3,4,6,7}:{(60,1),(62,1),(87,1),(95,1),(96,1),(118,1)}
        80:{1,2,4,6}:{(61,1),(88,1),(95,1),(97,1),(118,1)}
        81:{1,2,5,7}:{(62,1),(89,1),(96,1),(97,1)}
        82:{1,3,5}:{(63,1),(64,1),(67,1)}
        83:{1,3,4,7}:{(63,1),(65,1),(68,1),(98,1)}
        84:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(98,1),(100,1),(101,1),(120,1)}
        85:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(99,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(69,1),(78,1),(98,1),(102,1)}
        87:{2,3,4,6,7}:{(68,1),(70,1),(79,1),(99,1),(102,1),(103,1),(106,1),(121,1)}
        88:{2,4,6}:{(69,1),(72,1),(102,1),(104,1)}
        89:{2,5,7}:{(70,1),(73,1),(104,1)}
        90:{2,4,6,7}:{(71,1),(74,1),(105,1),(106,1),(121,1)}
        91:{1,3,5,6}:{(72,1),(73,1),(75,1),(104,1),(107,1),(123,1)}
        92:{1,4,5,7}:{(73,1),(74,1),(76,1),(105,1),(107,1)}
        93:{2,4,5,6}:{(75,1),(76,1),(107,1),(108,1),(121,1)}
        94:{3,4,5,7}:{(76,1),(77,1),(108,1)}
        95:{1,3,6}:{(78,1),(80,1),(102,1)}
        96:{1,3,5,7}:{(79,1),(81,1),(103,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(104,1),(109,1)}
        98:{1,3,5,7}:{(82,1),(83,1),(84,1),(86,1),(111,1)}
        99:{1,3,4,6,7}:{(83,1),(85,1),(87,1),(111,1),(112,1),(124,1)}
       100:{1,2,4,6}:{(84,1),(88,1),(111,1),(113,1),(124,1)}
       101:{1,2,5,7}:{(85,1),(89,1),(112,1),(113,1)}
       102:{2,3,6}:{(86,1),(88,1),(95,1),(111,1)}
       103:{2,3,5,7}:{(87,1),(89,1),(96,1),(112,1),(114,1),(115,1),(117,1)}
       104:{2,5,6}:{(88,1),(89,1),(91,1)}
       105:{2,4,5,7}:{(89,1),(90,1),(92,1),(116,1),(117,1)}
       106:{3,4,6,7}:{(90,1),(117,1),(125,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(93,1),(116,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,3,5,6}:{(95,1),(96,1),(97,1),(114,1),(118,1)}
       110:{1,4,5,7}:{(96,1),(115,1),(118,1)}
       111:{1,3,6}:{(98,1),(100,1),(102,1)}
       112:{1,3,5,7}:{(99,1),(101,1),(103,1),(119,1),(120,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(104,1),(119,1)}
       114:{2,3,5,6}:{(102,1),(103,1),(104,1),(109,1),(119,1),(121,1),(123,1)}
       115:{2,4,5,7}:{(103,1),(110,1),(120,1),(121,1),(122,1)}
       116:{2,4,5,6}:{(104,1),(105,1),(107,1),(121,1),(123,1)}
       117:{3,5,7}:{(105,1),(106,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(121,1)}
       119:{1,3,5,6}:{(111,1),(112,1),(113,1),(114,1),(124,1)}
       120:{1,4,5,7}:{(112,1),(115,1),(124,1)}
       121:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       122:{3,4,5,7}:{(115,1),(117,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(121,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2302 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(119,1),(123,1),(124,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(135,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(124,1),(125,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(42,1),(124,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(99,1),(100,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(106,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(86,1),(87,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(42,1),(93,1),(99,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(31,1),(34,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(34,1),(35,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(54,1),(80,1),(86,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(26,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,3,4,5,6}:{(25,1),(44,1),(45,1),(71,1),(139,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(26,1),(42,1),(46,1)}
        35:{1,4,5,6}:{(25,1),(27,1),(46,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(34,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(36,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(34,1),(53,1),(56,1),(84,1),(129,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(56,1),(57,1),(59,1),(83,1),(144,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(36,1),(54,1)}
        47:{1,2,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(59,1),(61,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(59,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(80,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(46,1)}
        55:{1,2,5,6,7}:{(43,1),(48,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(66,1),(70,1),(72,1),(97,1),(138,1)}
        57:{2,4,5,6}:{(45,1),(70,1),(71,1)}
        58:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(67,1),(70,1),(72,1),(74,1)}
        59:{1,3,5,6}:{(47,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(72,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(94,1),(102,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(60,1),(80,1),(81,1),(89,1),(104,1),(108,1)}
        69:{1,2,4,5,6}:{(57,1),(82,1),(83,1),(111,1),(144,1),(145,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(79,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(59,1),(83,1),(84,1),(85,1)}
        72:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(86,1)}
        73:{1,3,4,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(86,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(87,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(108,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(70,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(72,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(74,1),(94,1),(95,1),(102,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(92,1),(97,1),(124,1),(138,1),(140,1)}
        83:{1,3,5,6}:{(69,1),(71,1),(97,1),(98,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(72,1),(93,1),(97,1),(99,1)}
        85:{2,3,4,6}:{(71,1),(73,1),(98,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(74,1),(99,1)}
        87:{1,3,4,5}:{(73,1),(75,1),(100,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(102,1)}
        89:{1,2,3,5,6}:{(76,1),(102,1),(122,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(84,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(107,1),(108,1),(115,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,2,3,5,6}:{(83,1),(110,1),(111,1),(135,1),(145,1),(146,1)}
        97:{1,3,5,7}:{(82,1),(83,1),(84,1),(106,1),(112,1)}
        98:{1,3,4,6}:{(83,1),(85,1),(111,1),(112,1),(113,1)}
        99:{2,3,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       100:{2,3,4,5}:{(85,1),(87,1),(113,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(108,1),(114,1),(115,1)}
       102:{1,2,4,6}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(97,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(99,1),(117,1),(120,1),(121,1),(127,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(102,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(119,1),(124,1),(140,1)}
       111:{1,2,4,6}:{(96,1),(98,1),(124,1),(125,1)}
       112:{1,3,4,7}:{(97,1),(98,1),(99,1),(124,1)}
       113:{1,3,4,5}:{(98,1),(100,1),(125,1)}
       114:{2,3,4,5,7}:{(99,1),(100,1),(101,1),(121,1),(126,1),(127,1)}
       115:{1,3,4,6}:{(101,1),(102,1),(122,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(112,1),(128,1),(131,1),(132,1),(137,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(115,1),(133,1)}
       123:{1,2,3,4,6}:{(111,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,7}:{(110,1),(111,1),(112,1)}
       125:{1,2,4,5}:{(111,1),(113,1),(135,1)}
       126:{1,3,4,5,7}:{(112,1),(113,1),(114,1),(132,1),(136,1),(137,1)}
       127:{2,3,4,6}:{(114,1),(115,1),(133,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(127,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(124,1),(142,1)}
       135:{1,2,3,5}:{(123,1),(125,1)}
       136:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(127,1),(141,1),(143,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(137,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(146,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2303 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2304 :   0:{1,2,3,6,7}:{(2,1),(3,1),(49,1),(121,1),(195,1),(200,1),(356,1),(441,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(49,1),(53,1),(101,1),(200,1),(235,1),(327,1),(333,1),(439,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(25,1),(83,1),(298,1),(391,1),(483,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(26,1),(165,1),(258,1),(264,1),(378,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(75,1),(149,1),(482,1)}
         5:{1,3,4,6,7}:{(3,1),(10,1),(11,1),(12,1),(41,1),(49,1),(196,1),(321,1),(326,1),(332,1),(441,1),(514,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(12,1),(118,1),(514,1)}
         7:{1,2,5,7}:{(3,1),(11,1),(14,1),(222,1),(327,1)}
         8:{1,3,4,6}:{(4,1),(12,1),(15,1),(16,1),(49,1),(207,1),(333,1)}
         9:{1,2,4,5}:{(4,1),(16,1),(44,1),(327,1),(438,1)}
        10:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(24,1),(65,1),(79,1),(140,1),(154,1),(165,1),(260,1),(270,1),(275,1),(397,1),(486,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(386,1),(388,1)}
        12:{1,3,4,7}:{(6,1),(8,1),(24,1),(25,1),(391,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(21,1),(25,1),(26,1),(70,1)}
        14:{1,2,5,6}:{(7,1),(22,1),(26,1),(160,1),(378,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(75,1),(79,1),(155,1),(281,1)}
        16:{1,3,5}:{(8,1),(9,1),(30,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(32,1),(68,1),(75,1),(92,1),(160,1),(181,1),(272,1),(387,1),(392,1),(482,1)}
        18:{1,2,3,6,7}:{(35,1),(36,1),(46,1),(108,1),(198,1),(322,1),(346,1),(518,1)}
        19:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(47,1),(95,1),(99,1),(120,1),(198,1),(219,1),(225,1),(346,1),(447,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(37,1),(38,1),(39,1),(211,1),(222,1),(329,1),(337,1)}
        21:{1,4,5,7}:{(11,1),(38,1),(41,1),(438,1),(514,1)}
        22:{1,3,5,6}:{(11,1),(14,1),(39,1),(41,1),(49,1),(321,1),(328,1)}
        23:{1,3,4,5}:{(16,1),(44,1),(45,1),(438,1),(442,1)}
        24:{2,3,4,7}:{(12,1),(15,1),(47,1),(48,1),(118,1),(342,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(16,1),(48,1),(49,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(49,1),(113,1)}
        27:{1,2,5,6,7}:{(14,1),(42,1),(50,1),(222,1),(246,1),(362,1),(430,1),(440,1)}
        28:{1,2,3,6}:{(43,1),(46,1),(51,1),(226,1)}
        29:{1,3,4,6}:{(15,1),(47,1),(51,1),(52,1),(115,1),(117,1),(120,1),(226,1)}
        30:{2,3,5}:{(15,1),(16,1),(44,1),(52,1)}
        31:{1,3,5,6}:{(16,1),(17,1),(45,1),(49,1),(53,1),(54,1),(333,1),(443,1)}
        32:{1,2,4,5,7}:{(17,1),(50,1),(54,1),(110,1),(118,1),(137,1),(222,1),(243,1),(334,1),(440,1),(444,1),(514,1)}
        33:{1,2,3,5,6}:{(43,1),(55,1),(56,1),(108,1),(122,1),(135,1),(220,1),(226,1),(242,1),(245,1),(248,1),(344,1)}
        34:{1,3,4,5,6}:{(45,1),(57,1),(58,1),(109,1),(128,1),(209,1),(250,1),(335,1),(368,1),(443,1)}
        35:{1,2,3,5,7}:{(18,1),(59,1),(60,1),(61,1),(141,1),(377,1),(399,1),(532,1),(550,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(60,1),(61,1),(77,1),(142,1),(159,1),(169,1),(270,1)}
        37:{1,3,5,7}:{(19,1),(20,1),(61,1),(62,1),(63,1),(283,1),(285,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(62,1),(64,1),(65,1),(394,1),(486,1)}
        39:{2,3,5,6}:{(20,1),(22,1),(63,1),(65,1),(79,1),(150,1),(160,1),(260,1),(265,1)}
        40:{1,3,4,5,7}:{(21,1),(23,1),(25,1),(64,1),(70,1),(71,1),(76,1),(161,1)}
        41:{1,4,6}:{(21,1),(22,1),(65,1)}
        42:{1,3,5,6,7}:{(22,1),(27,1),(66,1),(72,1),(80,1),(161,1),(379,1),(388,1),(483,1)}
        43:{1,2,3,5}:{(28,1),(73,1),(81,1),(166,1)}
        44:{2,4,5}:{(23,1),(30,1),(74,1),(75,1)}
        45:{1,3,4,6}:{(23,1),(31,1),(75,1),(76,1),(482,1),(484,1)}
        46:{1,2,3,7}:{(28,1),(77,1),(288,1)}
        47:{1,3,4,7}:{(24,1),(29,1),(77,1),(78,1),(168,1),(288,1)}
        48:{2,3,5,7}:{(24,1),(25,1),(30,1),(70,1),(78,1),(79,1)}
        49:{1,3,6}:{(25,1),(26,1),(79,1)}
        50:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(72,1),(80,1),(165,1),(188,1),(304,1),(413,1)}
        51:{1,2,4,6}:{(28,1),(29,1),(73,1),(77,1),(81,1),(169,1)}
        52:{1,3,5}:{(29,1),(30,1),(74,1),(81,1)}
        53:{2,3,5,6}:{(30,1),(31,1),(75,1),(79,1),(82,1),(83,1),(160,1),(181,1),(281,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(76,1),(80,1),(83,1),(391,1),(485,1)}
        55:{1,2,3,5,7}:{(33,1),(86,1),(88,1),(171,1),(184,1),(186,1),(288,1),(306,1),(399,1)}
        56:{1,2,4,6}:{(33,1),(73,1),(88,1),(90,1),(91,1),(305,1),(398,1)}
        57:{2,4,5,6}:{(34,1),(75,1),(85,1),(92,1),(93,1),(160,1),(181,1),(305,1),(416,1)}
        58:{1,3,4,5,7}:{(34,1),(76,1),(89,1),(93,1),(161,1),(182,1),(274,1),(312,1),(393,1),(420,1),(485,1)}
        59:{1,2,3,5,6}:{(35,1),(94,1),(97,1),(108,1),(193,1),(198,1),(220,1),(318,1),(344,1),(421,1),(508,1),(541,1)}
        60:{1,2,4,7}:{(35,1),(94,1),(95,1),(427,1),(447,1)}
        61:{1,2,5,7}:{(36,1),(37,1),(97,1),(220,1),(329,1)}
        62:{1,4,5,7}:{(37,1),(38,1),(99,1),(343,1),(447,1)}
        63:{1,3,5,6}:{(37,1),(39,1),(97,1),(99,1),(120,1),(198,1),(221,1)}
        64:{3,4,5,7}:{(38,1),(104,1),(211,1),(442,1),(515,1)}
        65:{2,4,6}:{(38,1),(39,1),(41,1),(99,1),(104,1)}
        66:{2,3,5,6,7}:{(39,1),(42,1),(100,1),(105,1),(121,1),(211,1),(222,1),(322,1),(329,1),(362,1),(446,1),(460,1)}
        67:{2,3,4,5}:{(44,1),(106,1),(107,1),(216,1),(241,1),(442,1)}
        68:{1,4,5,6}:{(41,1),(102,1),(109,1),(110,1),(328,1)}
        69:{1,2,3,5,7}:{(43,1),(46,1),(108,1),(111,1),(119,1),(220,1),(223,1),(347,1),(421,1),(449,1)}
        70:{2,4,5,7}:{(40,1),(44,1),(48,1),(112,1),(113,1),(118,1),(222,1)}
        71:{1,3,4,6}:{(40,1),(41,1),(49,1),(104,1),(109,1),(113,1)}
        72:{1,4,6,7}:{(41,1),(42,1),(105,1),(110,1),(514,1)}
        73:{1,2,4}:{(43,1),(115,1)}
        74:{1,4,5}:{(44,1),(52,1),(117,1)}
        75:{2,4,6}:{(44,1),(45,1),(53,1),(117,1),(118,1)}
        76:{1,3,4,7}:{(45,1),(54,1),(118,1),(514,1),(515,1)}
        77:{1,2,4,7}:{(46,1),(47,1),(51,1),(119,1)}
        78:{1,3,5,7}:{(47,1),(48,1),(52,1),(112,1),(119,1),(120,1)}
        79:{2,3,6}:{(48,1),(49,1),(113,1),(120,1)}
        80:{1,3,6,7}:{(49,1),(50,1),(54,1),(121,1),(460,1)}
        81:{1,2,5}:{(51,1),(52,1)}
        82:{1,3,5,6}:{(52,1),(53,1),(117,1),(120,1),(122,1),(123,1),(221,1),(226,1)}
        83:{2,3,5,7}:{(53,1),(54,1),(118,1),(121,1),(123,1),(222,1),(243,1),(342,1)}
        84:{1,2,3,6}:{(101,1),(124,1),(125,1),(333,1)}
        85:{2,3,5,6}:{(57,1),(107,1),(128,1),(129,1),(443,1)}
        86:{1,2,3,6,7}:{(55,1),(108,1),(130,1),(228,1),(248,1),(346,1),(347,1),(364,1)}
        87:{1,4,5,6,7}:{(110,1),(126,1),(131,1),(353,1),(359,1),(464,1)}
        88:{1,2,4,7}:{(55,1),(56,1),(132,1),(365,1),(447,1)}
        89:{1,3,4,6,7}:{(58,1),(131,1),(134,1),(236,1),(240,1),(359,1),(460,1)}
        90:{1,3,4,6}:{(56,1),(115,1),(127,1),(132,1),(135,1),(226,1),(248,1)}
        91:{1,2,4,5}:{(56,1),(135,1),(220,1),(241,1),(343,1)}
        92:{1,4,5,6}:{(57,1),(117,1),(128,1),(137,1),(221,1),(357,1),(457,1)}
        93:{2,4,5,7}:{(57,1),(58,1),(118,1),(129,1),(134,1),(137,1),(222,1),(243,1),(365,1),(463,1)}
        94:{1,2,4,6}:{(59,1),(60,1),(138,1),(139,1),(373,1),(398,1),(465,1)}
        95:{1,3,4,7}:{(60,1),(138,1),(140,1),(141,1),(550,1)}
        96:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(139,1),(141,1),(142,1),(146,1)}
        97:{1,2,5,6}:{(61,1),(63,1),(142,1),(169,1),(265,1)}
        98:{1,3,4,5,7}:{(62,1),(64,1),(141,1),(146,1),(147,1),(252,1),(266,1),(374,1)}
        99:{1,4,6}:{(62,1),(63,1),(65,1)}
       100:{1,3,5,6,7}:{(63,1),(66,1),(143,1),(148,1),(170,1),(261,1),(266,1),(285,1),(399,1)}
       101:{1,2,3,5}:{(84,1),(149,1),(176,1),(271,1)}
       102:{2,4,5,6}:{(65,1),(68,1),(144,1),(150,1),(151,1),(160,1),(265,1)}
       103:{2,3,4,5,7}:{(64,1),(67,1),(70,1),(146,1),(152,1),(153,1),(158,1),(277,1),(278,1),(302,1),(370,1),(394,1),(412,1),(469,1),(486,1),(489,1)}
       104:{3,4,6}:{(64,1),(65,1),(150,1)}
       105:{2,4,6,7}:{(65,1),(66,1),(72,1),(148,1),(151,1),(154,1),(486,1)}
       106:{1,3,4,5}:{(67,1),(74,1),(156,1),(157,1),(166,1),(271,1),(296,1)}
       107:{2,3,4,6}:{(67,1),(75,1),(85,1),(157,1),(158,1),(281,1),(305,1),(484,1)}
       108:{1,2,3,6}:{(69,1),(159,1),(169,1),(286,1),(488,1)}
       109:{1,3,5,6}:{(68,1),(71,1),(150,1),(160,1),(161,1)}
       110:{1,4,5,7}:{(68,1),(72,1),(151,1),(161,1),(388,1)}
       111:{1,2,4,7}:{(69,1),(73,1),(159,1),(162,1),(465,1)}
       112:{1,4,5,7}:{(70,1),(74,1),(78,1),(164,1),(168,1),(285,1)}
       113:{2,4,6}:{(70,1),(71,1),(79,1),(160,1),(164,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(76,1),(80,1),(154,1),(161,1),(165,1)}
       115:{1,3,4}:{(73,1),(155,1),(166,1)}
       116:{1,2,4,5}:{(73,1),(74,1),(81,1),(156,1),(166,1),(167,1)}
       117:{1,4,6}:{(74,1),(75,1),(82,1),(168,1)}
       118:{2,4,7}:{(75,1),(76,1),(83,1),(168,1)}
       119:{1,2,5,7}:{(77,1),(78,1),(81,1),(169,1)}
       120:{1,3,6}:{(78,1),(79,1),(164,1),(169,1)}
       121:{2,3,6,7}:{(79,1),(80,1),(83,1),(165,1),(170,1),(304,1)}
       122:{1,2,5,6}:{(81,1),(82,1),(167,1),(169,1),(171,1),(181,1)}
       123:{1,3,5,7}:{(82,1),(83,1),(168,1),(170,1),(171,1),(285,1),(288,1)}
       124:{1,2,3,7}:{(84,1),(174,1),(391,1)}
       125:{1,2,4,6}:{(84,1),(149,1),(174,1),(175,1),(176,1),(295,1)}
       126:{2,4,5,6,7}:{(87,1),(151,1),(173,1),(177,1),(185,1),(293,1),(299,1),(413,1),(499,1)}
       127:{2,3,4,6}:{(90,1),(155,1),(175,1),(178,1),(180,1),(281,1),(303,1),(305,1)}
       128:{1,3,5,6}:{(85,1),(92,1),(157,1),(181,1),(182,1)}
       129:{2,3,5,7}:{(85,1),(93,1),(158,1),(179,1),(182,1),(485,1)}
       130:{1,2,4,6,7}:{(86,1),(88,1),(159,1),(183,1),(184,1),(187,1),(400,1),(417,1),(488,1)}
       131:{1,3,5,6,7}:{(87,1),(89,1),(161,1),(177,1),(185,1),(420,1)}
       132:{1,3,4,7}:{(88,1),(90,1),(178,1),(186,1),(288,1)}
       133:{1,2,4,5,7}:{(88,1),(91,1),(184,1),(186,1),(187,1),(302,1),(307,1)}
       134:{2,4,6,7}:{(89,1),(93,1),(179,1),(185,1),(188,1),(304,1)}
       135:{1,3,5}:{(90,1),(91,1),(180,1)}
       136:{1,2,4,5,6}:{(91,1),(92,1),(167,1),(181,1),(187,1),(190,1),(191,1),(284,1),(305,1),(392,1),(398,1),(416,1),(418,1)}
       137:{1,4,5,7}:{(92,1),(93,1),(168,1),(182,1),(188,1),(285,1),(411,1),(496,1)}
       138:{1,3,4,6}:{(94,1),(95,1),(192,1),(193,1),(198,1),(500,1),(541,1)}
       139:{1,2,4,5}:{(94,1),(193,1),(220,1),(314,1),(343,1)}
       140:{2,3,4,7}:{(95,1),(192,1),(196,1),(197,1),(427,1),(543,1)}
       141:{1,3,5,7}:{(95,1),(96,1),(193,1),(197,1),(198,1)}
       142:{1,2,4,6}:{(96,1),(97,1),(99,1),(198,1),(205,1)}
       143:{1,2,5,6,7}:{(97,1),(100,1),(199,1),(228,1),(329,1),(345,1),(353,1),(362,1)}
       144:{1,4,5,6}:{(99,1),(102,1),(201,1),(202,1),(221,1)}
       145:{1,2,3,5,7}:{(101,1),(124,1),(195,1),(200,1),(203,1),(233,1),(313,1),(320,1),(327,1),(330,1)}
       146:{2,4,5,7}:{(98,1),(197,1),(204,1),(205,1),(314,1),(329,1),(427,1)}
       147:{1,3,4,6}:{(98,1),(99,1),(104,1),(198,1),(201,1),(205,1)}
       148:{1,4,6,7}:{(99,1),(100,1),(105,1),(202,1),(447,1)}
       149:{1,2,4}:{(101,1),(207,1)}
       150:{3,5,6}:{(102,1),(104,1),(211,1)}
       151:{2,4,5,7}:{(102,1),(105,1),(110,1),(202,1),(211,1),(222,1),(329,1)}
       152:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(204,1),(213,1),(214,1),(218,1),(223,1),(330,1),(339,1),(343,1),(354,1),(422,1),(438,1),(442,1),(447,1),(504,1),(514,1),(515,1),(516,1)}
       153:{2,3,4,6}:{(103,1),(104,1),(113,1),(205,1),(210,1),(214,1),(340,1),(363,1),(445,1),(459,1),(519,1)}
       154:{3,4,6,7}:{(104,1),(105,1),(211,1),(460,1),(515,1)}
       155:{2,3,4}:{(115,1),(207,1),(216,1)}
       156:{2,4,5}:{(106,1),(216,1),(217,1)}
       157:{1,3,4,6}:{(106,1),(107,1),(117,1),(128,1),(217,1),(218,1),(226,1),(333,1),(357,1)}
       158:{2,3,4,7}:{(107,1),(118,1),(129,1),(218,1),(342,1),(365,1),(515,1)}
       159:{1,2,4,6}:{(108,1),(111,1),(219,1),(220,1)}
       160:{2,5,6}:{(109,1),(113,1),(221,1),(222,1)}
       161:{1,3,5,7}:{(109,1),(110,1),(114,1),(211,1),(222,1)}
       162:{1,3,4,7}:{(111,1),(115,1),(212,1),(219,1),(223,1),(447,1),(500,1)}
       163:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(119,1),(213,1),(220,1),(223,1),(224,1),(227,1),(343,1),(345,1),(447,1),(449,1),(501,1),(516,1),(542,1)}
       164:{1,4,6}:{(112,1),(113,1),(120,1),(221,1)}
       165:{2,4,6,7}:{(113,1),(114,1),(118,1),(121,1),(222,1),(225,1)}
       166:{1,3,5}:{(115,1),(116,1),(216,1),(226,1)}
       167:{1,2,4,6}:{(116,1),(117,1),(122,1),(217,1),(226,1),(227,1)}
       168:{1,4,7}:{(117,1),(118,1),(123,1)}
       169:{1,2,6}:{(119,1),(120,1)}
       170:{1,3,6,7}:{(120,1),(121,1),(123,1),(225,1),(228,1)}
       171:{1,2,5,7}:{(122,1),(123,1),(227,1),(228,1),(243,1)}
       172:{1,2,3,6,7}:{(124,1),(200,1),(229,1),(230,1),(430,1),(441,1),(453,1),(520,1)}
       173:{1,4,5,6,7}:{(126,1),(202,1),(231,1),(246,1),(359,1),(523,1)}
       174:{1,2,4,7}:{(124,1),(125,1),(232,1),(233,1)}
       175:{1,3,4,6}:{(125,1),(127,1),(207,1),(232,1),(234,1),(333,1),(355,1),(357,1)}
       176:{1,2,5}:{(125,1),(234,1)}
       177:{3,5,6,7}:{(126,1),(211,1),(236,1),(460,1),(524,1)}
       178:{2,3,4,7}:{(127,1),(132,1),(232,1),(239,1),(342,1),(365,1)}
       179:{2,3,6,7}:{(129,1),(134,1),(240,1),(460,1)}
       180:{2,3,5}:{(127,1),(135,1),(234,1),(241,1)}
       181:{2,5,6}:{(128,1),(217,1),(243,1)}
       182:{1,3,5,7}:{(128,1),(129,1),(137,1),(218,1),(240,1),(243,1)}
       183:{1,3,4,6,7}:{(130,1),(132,1),(219,1),(237,1),(244,1),(248,1),(346,1),(366,1),(447,1),(448,1),(517,1),(548,1)}
       184:{1,2,5,7}:{(130,1),(220,1),(244,1),(245,1),(463,1)}
       185:{2,5,6,7}:{(131,1),(134,1),(222,1),(246,1),(463,1)}
       186:{1,3,5,7}:{(132,1),(133,1),(135,1),(239,1),(248,1)}
       187:{1,2,4,6}:{(133,1),(245,1),(248,1),(363,1),(366,1)}
       188:{1,4,6,7}:{(134,1),(137,1),(240,1),(246,1)}
       189:{1,3,4,5}:{(135,1),(241,1),(250,1),(343,1),(442,1)}
       190:{1,3,5,6}:{(135,1),(136,1),(226,1),(242,1),(248,1),(250,1),(251,1),(443,1)}
       191:{1,2,4,5,7}:{(136,1),(137,1),(227,1),(243,1),(249,1),(251,1),(345,1),(365,1),(444,1),(447,1),(463,1),(464,1)}
       192:{2,3,4,6}:{(138,1),(140,1),(254,1),(255,1),(260,1),(373,1),(466,1),(527,1)}
       193:{1,3,5}:{(138,1),(139,1),(255,1)}
       194:{1,2,4,5,6}:{(139,1),(142,1),(144,1),(256,1),(257,1),(265,1),(284,1),(373,1),(384,1),(392,1),(398,1),(477,1),(526,1)}
       195:{1,2,3,7}:{(253,1),(258,1),(529,1)}
       196:{1,3,4,7}:{(140,1),(254,1),(258,1),(259,1),(472,1),(529,1)}
       197:{2,3,5,7}:{(140,1),(141,1),(146,1),(255,1),(259,1),(260,1)}
       198:{1,3,6}:{(141,1),(142,1),(260,1)}
       199:{1,2,4,6,7}:{(142,1),(143,1),(148,1),(257,1),(261,1),(270,1),(405,1),(413,1),(491,1)}
       200:{1,2,3,6}:{(145,1),(264,1),(295,1),(378,1),(389,1)}
       201:{1,3,5,6}:{(144,1),(147,1),(150,1),(265,1),(266,1)}
       202:{1,4,5,7}:{(144,1),(148,1),(151,1),(266,1),(285,1)}
       203:{1,2,4,7}:{(145,1),(149,1),(264,1),(267,1),(371,1)}
       204:{1,4,5,7}:{(146,1),(259,1),(269,1),(372,1),(388,1),(472,1)}
       205:{2,4,6}:{(146,1),(147,1),(260,1),(265,1),(269,1)}
       206:{1,3,4,6,7}:{(147,1),(148,1),(154,1),(261,1),(266,1),(270,1),(374,1)}
       207:{1,3,4}:{(149,1),(155,1),(271,1)}
       208:{1,2,4,5}:{(149,1),(156,1),(176,1),(271,1),(272,1),(296,1)}
       209:{3,4,5,6}:{(150,1),(273,1),(274,1),(484,1),(497,1)}
       210:{2,3,5,6}:{(150,1),(153,1),(160,1),(265,1),(273,1),(276,1),(277,1),(416,1),(497,1),(538,1)}
       211:{3,5,7}:{(150,1),(151,1),(154,1)}
       212:{2,3,4,7}:{(155,1),(162,1),(267,1),(275,1),(278,1),(466,1),(486,1)}
       213:{2,4,5,7}:{(152,1),(156,1),(278,1),(279,1),(282,1),(394,1),(396,1),(467,1),(486,1),(528,1)}
       214:{1,3,4,6}:{(152,1),(153,1),(164,1),(269,1),(276,1),(279,1),(286,1),(389,1),(398,1),(409,1),(482,1),(484,1),(536,1)}
       215:{2,3,4,6,7}:{(153,1),(154,1),(158,1),(165,1),(179,1),(270,1),(277,1),(280,1),(299,1),(397,1),(402,1),(417,1),(469,1),(486,1),(498,1),(539,1)}
       216:{2,3,5}:{(155,1),(156,1),(166,1),(271,1),(281,1)}
       217:{2,4,6}:{(156,1),(157,1),(181,1),(281,1),(282,1)}
       218:{1,3,4,7}:{(157,1),(158,1),(168,1),(182,1),(282,1),(288,1),(391,1),(411,1)}
       219:{1,3,4,6}:{(159,1),(162,1),(275,1),(283,1),(286,1),(398,1)}
       220:{1,2,5}:{(159,1),(283,1)}
       221:{1,5,6}:{(160,1),(164,1),(285,1)}
       222:{2,5,7}:{(160,1),(161,1),(165,1),(285,1)}
       223:{1,3,5,7}:{(162,1),(163,1),(166,1),(278,1),(283,1),(286,1),(288,1),(525,1),(550,1)}
       224:{1,2,4,6}:{(163,1),(164,1),(169,1),(279,1),(284,1),(286,1),(398,1),(488,1),(536,1)}
       225:{1,4,6,7}:{(164,1),(165,1),(168,1),(170,1),(285,1)}
       226:{1,3,6}:{(166,1),(167,1),(281,1),(288,1)}
       227:{1,2,4,7}:{(167,1),(168,1),(171,1),(282,1),(288,1)}
       228:{1,2,6,7}:{(169,1),(170,1),(171,1),(304,1)}
       229:{1,2,3,5,7}:{(172,1),(262,1),(289,1),(292,1),(403,1),(473,1),(483,1),(529,1),(534,1)}
       230:{1,2,4,6,7}:{(172,1),(174,1),(264,1),(289,1),(291,1),(292,1),(295,1),(404,1),(539,1)}
       231:{1,3,5,6,7}:{(173,1),(177,1),(266,1),(290,1),(293,1),(540,1)}
       232:{1,3,4,7}:{(174,1),(175,1),(178,1),(294,1),(391,1),(411,1)}
       233:{1,2,5,7}:{(174,1),(176,1),(294,1),(295,1)}
       234:{1,3,5}:{(175,1),(176,1),(180,1),(296,1)}
       235:{1,2,5,6}:{(176,1),(181,1),(272,1),(295,1),(297,1),(298,1)}
       236:{3,4,6,7}:{(177,1),(274,1),(299,1)}
       237:{2,3,4,6,7}:{(178,1),(183,1),(275,1),(291,1),(300,1),(303,1),(397,1),(401,1),(414,1),(417,1),(486,1),(490,1),(498,1),(539,1)}
       238:{2,3,5,6,7}:{(177,1),(179,1),(185,1),(277,1),(293,1),(299,1),(301,1),(402,1)}
       239:{2,3,5,7}:{(178,1),(180,1),(186,1),(294,1),(302,1),(303,1)}
       240:{1,3,6,7}:{(179,1),(182,1),(188,1),(304,1)}
       241:{2,4,5}:{(180,1),(189,1),(296,1),(305,1)}
       242:{2,3,5,6}:{(180,1),(181,1),(190,1),(281,1),(297,1),(303,1),(305,1),(306,1),(416,1)}
       243:{2,5,7}:{(181,1),(182,1),(282,1),(304,1)}
       244:{1,3,5,7}:{(183,1),(184,1),(283,1),(300,1),(307,1),(308,1),(552,1)}
       245:{1,2,5,6}:{(184,1),(187,1),(308,1),(416,1),(488,1)}
       246:{1,5,6,7}:{(185,1),(188,1),(285,1),(496,1)}
       247:{1,3,4,5,7}:{(186,1),(189,1),(302,1),(307,1),(310,1),(312,1),(412,1),(420,1)}
       248:{1,3,6}:{(186,1),(187,1),(303,1)}
       249:{1,2,4,6,7}:{(187,1),(188,1),(191,1),(304,1),(309,1),(311,1),(413,1),(417,1),(419,1)}
       250:{1,3,4,6}:{(189,1),(190,1),(305,1),(312,1),(398,1),(484,1)}
       251:{1,3,5,7}:{(190,1),(191,1),(288,1),(306,1),(311,1),(312,1),(485,1)}
       252:{1,3,4,5}:{(193,1),(314,1),(315,1),(343,1),(442,1)}
       253:{1,2,3,6}:{(195,1),(313,1),(316,1),(505,1)}
       254:{1,3,4,6}:{(192,1),(196,1),(316,1),(317,1),(321,1),(424,1),(426,1),(505,1)}
       255:{2,3,5}:{(192,1),(193,1),(314,1),(317,1)}
       256:{1,3,5,6}:{(193,1),(194,1),(198,1),(315,1),(318,1),(319,1),(443,1),(541,1)}
       257:{1,2,4,5,7}:{(194,1),(199,1),(202,1),(319,1),(329,1),(345,1),(427,1),(437,1),(444,1),(447,1),(511,1),(542,1)}
       258:{1,2,4,7}:{(195,1),(196,1),(316,1),(320,1)}
       259:{1,3,5,7}:{(196,1),(197,1),(204,1),(317,1),(320,1),(321,1)}
       260:{2,3,6}:{(197,1),(198,1),(205,1),(321,1)}
       261:{1,3,6,7}:{(198,1),(199,1),(319,1),(322,1),(460,1)}
       262:{1,2,3,5,6}:{(200,1),(229,1),(313,1),(323,1),(327,1),(352,1),(428,1),(435,1),(439,1),(453,1),(505,1),(510,1)}
       263:{1,3,4,5,6}:{(201,1),(209,1),(315,1),(324,1),(325,1),(335,1),(433,1),(443,1),(512,1),(521,1)}
       264:{1,2,4,6}:{(200,1),(203,1),(326,1),(327,1)}
       265:{2,5,6}:{(201,1),(205,1),(328,1),(329,1)}
       266:{1,3,5,7}:{(201,1),(202,1),(206,1),(211,1),(329,1)}
       267:{1,3,4,7}:{(203,1),(207,1),(212,1),(326,1),(330,1),(424,1),(514,1)}
       268:{1,2,4,5,7}:{(203,1),(204,1),(208,1),(213,1),(233,1),(320,1),(327,1),(330,1),(331,1),(334,1),(354,1),(425,1),(438,1),(440,1),(506,1),(514,1)}
       269:{1,4,6}:{(204,1),(205,1),(321,1),(328,1)}
       270:{2,4,6,7}:{(205,1),(206,1),(322,1),(329,1),(332,1),(427,1)}
       271:{1,3,5}:{(207,1),(208,1),(216,1),(333,1)}
       272:{1,2,4,6}:{(208,1),(217,1),(235,1),(333,1),(334,1),(357,1)}
       273:{2,4,5,6}:{(209,1),(210,1),(335,1),(336,1),(445,1)}
       274:{3,4,5,7}:{(209,1),(211,1),(236,1),(336,1),(515,1),(524,1)}
       275:{2,3,4,6}:{(212,1),(219,1),(326,1),(337,1),(340,1),(445,1)}
       276:{1,3,5,6}:{(210,1),(214,1),(221,1),(328,1),(335,1),(338,1),(339,1),(443,1),(457,1),(547,1)}
       277:{2,3,5,7}:{(210,1),(211,1),(215,1),(222,1),(329,1),(336,1),(339,1),(463,1),(524,1),(549,1)}
       278:{2,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(330,1),(337,1),(340,1),(342,1),(502,1),(543,1)}
       279:{2,4,6}:{(213,1),(214,1),(338,1),(340,1)}
       280:{1,3,4,6,7}:{(214,1),(215,1),(218,1),(225,1),(240,1),(332,1),(339,1),(341,1),(346,1),(359,1),(441,1),(447,1),(451,1),(458,1),(460,1),(504,1),(514,1),(515,1),(548,1)}
       281:{2,3,6}:{(216,1),(217,1),(226,1),(333,1),(342,1)}
       282:{2,4,7}:{(217,1),(218,1),(243,1),(342,1)}
       283:{1,3,5}:{(219,1),(220,1),(337,1),(343,1)}
       284:{1,2,5,6}:{(220,1),(221,1),(224,1),(338,1),(344,1),(345,1),(547,1)}
       285:{1,5,7}:{(221,1),(222,1),(225,1)}
       286:{1,3,6}:{(223,1),(224,1),(340,1)}
       287:{1,2,4,6,7}:{(224,1),(225,1),(227,1),(228,1),(341,1),(345,1),(346,1),(447,1),(518,1),(542,1),(548,1)}
       288:{1,3,7}:{(226,1),(227,1),(342,1)}
       289:{1,2,4,7}:{(229,1),(323,1),(348,1),(514,1),(546,1)}
       290:{1,3,4,6,7}:{(231,1),(236,1),(325,1),(350,1),(359,1),(451,1),(460,1)}
       291:{1,3,4,6,7}:{(230,1),(232,1),(237,1),(326,1),(348,1),(351,1),(355,1),(441,1),(453,1),(455,1),(458,1),(514,1)}
       292:{1,2,5,7}:{(230,1),(327,1),(351,1),(352,1),(549,1)}
       293:{2,5,6,7}:{(231,1),(329,1),(350,1),(353,1),(549,1)}
       294:{1,3,5,7}:{(232,1),(233,1),(234,1),(239,1),(354,1),(355,1)}
       295:{1,2,6}:{(233,1),(355,1)}
       296:{1,4,5}:{(234,1),(241,1),(357,1)}
       297:{1,3,5,6}:{(234,1),(235,1),(242,1),(333,1),(355,1),(357,1),(358,1),(457,1)}
       298:{1,2,5,7}:{(235,1),(243,1),(334,1),(356,1),(358,1)}
       299:{2,4,6,7}:{(236,1),(238,1),(336,1),(359,1)}
       300:{2,3,5,7}:{(237,1),(244,1),(337,1),(351,1),(360,1),(361,1),(463,1),(524,1),(549,1)}
       301:{1,3,5,6,7}:{(238,1),(240,1),(246,1),(339,1),(353,1),(359,1),(362,1),(451,1),(460,1)}
       302:{2,4,5,7}:{(239,1),(241,1),(247,1),(354,1),(363,1),(365,1),(463,1)}
       303:{2,3,6}:{(239,1),(248,1),(355,1),(363,1)}
       304:{2,6,7}:{(240,1),(243,1)}
       305:{2,4,6}:{(241,1),(242,1),(250,1),(357,1),(365,1)}
       306:{2,3,5,7}:{(242,1),(243,1),(251,1),(342,1),(358,1),(364,1),(365,1),(463,1)}
       307:{1,4,5,7}:{(244,1),(343,1),(360,1),(366,1),(447,1)}
       308:{1,3,5,6}:{(244,1),(245,1),(248,1),(361,1),(366,1),(517,1),(547,1)}
       309:{1,2,5,6,7}:{(245,1),(246,1),(249,1),(345,1),(362,1),(367,1),(463,1),(518,1)}
       310:{1,3,4,6}:{(247,1),(248,1),(363,1),(366,1),(368,1),(459,1)}
       311:{1,3,6,7}:{(248,1),(249,1),(251,1),(364,1),(460,1)}
       312:{1,3,4,7}:{(250,1),(251,1),(365,1),(447,1),(515,1)}
       313:{1,2,3,5}:{(253,1),(371,1),(375,1),(470,1)}
       314:{2,4,5}:{(252,1),(255,1),(372,1),(373,1)}
       315:{1,3,4,6}:{(252,1),(256,1),(373,1),(374,1),(398,1),(484,1)}
       316:{1,2,4,6}:{(253,1),(254,1),(258,1),(371,1),(375,1),(378,1)}
       317:{1,3,5}:{(254,1),(255,1),(372,1),(375,1)}
       318:{2,3,5,6}:{(255,1),(256,1),(260,1),(265,1),(373,1),(376,1),(377,1),(477,1),(527,1)}
       319:{1,3,5,7}:{(256,1),(257,1),(261,1),(374,1),(377,1),(485,1),(550,1)}
       320:{1,2,5,7}:{(258,1),(259,1),(375,1),(378,1)}
       321:{1,3,6}:{(259,1),(260,1),(269,1),(378,1)}
       322:{2,3,6,7}:{(260,1),(261,1),(270,1),(377,1),(379,1),(491,1)}
       323:{1,2,4,6}:{(262,1),(289,1),(371,1),(382,1),(383,1),(482,1),(533,1)}
       324:{2,4,5,6}:{(263,1),(265,1),(373,1),(381,1),(384,1),(385,1),(477,1),(533,1),(538,1)}
       325:{1,3,4,5,7}:{(263,1),(266,1),(274,1),(290,1),(374,1),(385,1),(393,1),(478,1),(485,1),(535,1),(540,1)}
       326:{1,3,4,6}:{(264,1),(267,1),(275,1),(386,1),(389,1),(482,1)}
       327:{1,2,5}:{(264,1),(386,1)}
       328:{1,5,6}:{(265,1),(269,1),(388,1)}
       329:{2,5,7}:{(265,1),(266,1),(270,1),(388,1)}
       330:{1,3,5,7}:{(267,1),(268,1),(271,1),(278,1),(386,1),(389,1),(391,1),(470,1),(529,1)}
       331:{1,2,4,6}:{(268,1),(269,1),(279,1),(295,1),(378,1),(387,1),(389,1),(409,1),(482,1)}
       332:{1,4,6,7}:{(269,1),(270,1),(379,1),(388,1),(472,1)}
       333:{1,3,6}:{(271,1),(272,1),(281,1),(391,1)}
       334:{1,2,4,7}:{(272,1),(282,1),(298,1),(391,1),(411,1)}
       335:{1,4,5,6}:{(273,1),(276,1),(392,1),(393,1),(398,1),(482,1)}
       336:{2,4,5,7}:{(273,1),(274,1),(277,1),(299,1),(393,1),(486,1)}
       337:{2,3,5}:{(275,1),(283,1),(386,1),(394,1)}
       338:{2,5,6}:{(276,1),(279,1),(396,1)}
       339:{1,3,5,7}:{(276,1),(277,1),(280,1),(285,1),(388,1),(393,1),(396,1),(485,1),(496,1),(552,1)}
       340:{2,3,6}:{(278,1),(279,1),(286,1),(389,1)}
       341:{2,4,6,7}:{(279,1),(280,1),(282,1),(304,1),(396,1),(397,1),(486,1),(491,1),(528,1)}
       342:{2,3,7}:{(281,1),(282,1),(288,1),(391,1)}
       343:{1,4,5}:{(283,1),(394,1),(398,1)}
       344:{1,3,5,6}:{(283,1),(284,1),(286,1),(395,1),(398,1),(399,1)}
       345:{1,2,5,7}:{(284,1),(285,1),(287,1),(396,1),(399,1),(552,1)}
       346:{1,3,6,7}:{(286,1),(287,1),(288,1),(397,1),(399,1),(550,1)}
       347:{1,2,3,7}:{(380,1),(400,1),(550,1)}
       348:{1,3,4,7}:{(289,1),(382,1),(401,1),(403,1),(529,1)}
       349:{1,2,4,5,7}:{(289,1),(292,1),(383,1),(403,1),(404,1),(406,1),(489,1)}
       350:{2,4,6,7}:{(290,1),(293,1),(385,1),(402,1),(405,1),(491,1)}
       351:{1,3,5,7}:{(291,1),(292,1),(300,1),(386,1),(406,1),(407,1),(496,1)}
       352:{1,2,5,6}:{(292,1),(295,1),(404,1),(407,1),(538,1)}
       353:{1,5,6,7}:{(293,1),(388,1),(405,1),(552,1)}
       354:{1,4,5,7}:{(294,1),(296,1),(302,1),(409,1),(411,1),(496,1)}
       355:{1,3,6}:{(294,1),(295,1),(303,1),(409,1)}
       356:{1,2,6,7}:{(295,1),(298,1),(304,1),(410,1)}
       357:{1,4,6}:{(296,1),(297,1),(305,1),(411,1)}
       358:{1,3,5,7}:{(297,1),(298,1),(306,1),(391,1),(410,1),(411,1),(496,1)}
       359:{1,4,6,7}:{(299,1),(301,1),(393,1),(413,1)}
       360:{2,4,5,7}:{(300,1),(307,1),(394,1),(406,1),(412,1),(414,1),(486,1)}
       361:{2,3,5,6}:{(300,1),(303,1),(308,1),(407,1),(414,1),(416,1),(490,1),(497,1),(538,1)}
       362:{2,5,6,7}:{(301,1),(304,1),(396,1),(413,1),(491,1)}
       363:{2,4,6}:{(302,1),(303,1),(310,1),(409,1),(416,1)}
       364:{2,3,6,7}:{(303,1),(304,1),(306,1),(311,1),(410,1),(417,1)}
       365:{2,4,7}:{(305,1),(306,1),(312,1),(411,1)}
       366:{1,4,6}:{(307,1),(308,1),(414,1)}
       367:{1,3,5,6,7}:{(308,1),(309,1),(311,1),(399,1),(415,1),(419,1),(420,1),(537,1),(552,1)}
       368:{1,3,5,6}:{(310,1),(416,1),(418,1),(420,1),(497,1)}
       369:{1,3,4,6,7}:{(310,1),(311,1),(312,1),(417,1),(419,1),(420,1),(498,1)}
       370:{2,3,4,5}:{(314,1),(422,1),(423,1),(442,1),(502,1),(509,1)}
       371:{1,2,4}:{(313,1),(424,1)}
       372:{1,4,5}:{(314,1),(317,1),(426,1)}
       373:{2,4,6}:{(314,1),(315,1),(318,1),(426,1),(427,1)}
       374:{1,3,4,7}:{(315,1),(319,1),(427,1),(447,1),(515,1)}
       375:{1,2,5}:{(316,1),(317,1)}
       376:{1,3,5,6}:{(317,1),(318,1),(321,1),(328,1),(426,1),(428,1),(429,1),(505,1)}
       377:{2,3,5,7}:{(318,1),(319,1),(322,1),(329,1),(427,1),(429,1),(511,1),(543,1)}
       378:{1,2,6}:{(320,1),(321,1)}
       379:{1,3,6,7}:{(321,1),(322,1),(332,1),(429,1),(430,1)}
       380:{1,2,3,6}:{(347,1),(421,1),(431,1),(541,1)}
       381:{2,3,5,6}:{(324,1),(423,1),(433,1),(434,1),(443,1)}
       382:{1,3,4,6}:{(323,1),(348,1),(424,1),(432,1),(435,1),(453,1),(505,1)}
       383:{1,2,4,5}:{(323,1),(327,1),(435,1),(438,1),(509,1)}
       384:{1,4,5,6}:{(324,1),(328,1),(426,1),(433,1),(437,1),(544,1),(547,1)}
       385:{2,4,5,7}:{(324,1),(325,1),(329,1),(350,1),(427,1),(434,1),(437,1),(511,1),(546,1),(549,1)}
       386:{1,3,5}:{(326,1),(327,1),(337,1),(438,1)}
       387:{1,2,5,6}:{(327,1),(328,1),(331,1),(338,1),(439,1),(440,1),(457,1)}
       388:{1,5,7}:{(328,1),(329,1),(332,1)}
       389:{1,3,6}:{(330,1),(331,1),(340,1)}
       390:{1,2,4,6,7}:{(331,1),(332,1),(334,1),(341,1),(356,1),(430,1),(440,1),(441,1),(458,1),(506,1),(514,1)}
       391:{1,3,7}:{(333,1),(334,1),(342,1)}
       392:{2,4,5,6}:{(335,1),(338,1),(443,1),(444,1),(445,1)}
       393:{1,4,5,7}:{(335,1),(336,1),(339,1),(359,1),(444,1),(447,1),(514,1)}
       394:{2,4,5}:{(337,1),(343,1),(438,1),(442,1),(445,1)}
       395:{2,3,5,6}:{(337,1),(338,1),(340,1),(344,1),(439,1),(443,1),(445,1),(446,1)}
       396:{2,5,7}:{(338,1),(339,1),(341,1)}
       397:{2,3,6,7}:{(340,1),(341,1),(342,1),(346,1),(441,1),(446,1),(460,1),(543,1)}
       398:{1,4,6}:{(343,1),(344,1),(445,1),(447,1)}
       399:{1,3,5,7}:{(344,1),(345,1),(346,1),(446,1),(447,1)}
       400:{1,2,4,7}:{(347,1),(431,1),(448,1),(449,1)}
       401:{2,3,4,7}:{(348,1),(432,1),(448,1),(450,1),(543,1),(546,1)}
       402:{2,3,6,7}:{(350,1),(434,1),(451,1),(460,1)}
       403:{1,3,5,7}:{(348,1),(349,1),(435,1),(450,1),(453,1)}
       404:{1,2,4,6}:{(349,1),(352,1),(453,1),(455,1),(519,1)}
       405:{1,4,6,7}:{(350,1),(353,1),(437,1),(451,1)}
       406:{1,4,5,7}:{(351,1),(360,1),(438,1),(455,1),(514,1)}
       407:{1,3,5,6}:{(351,1),(352,1),(355,1),(361,1),(453,1),(455,1),(457,1)}
       408:{1,2,5,6,7}:{(352,1),(353,1),(356,1),(362,1),(440,1),(454,1),(456,1),(549,1)}
       409:{1,4,6}:{(354,1),(355,1),(363,1),(457,1)}
       410:{1,3,6,7}:{(355,1),(356,1),(358,1),(364,1),(458,1)}
       411:{1,4,7}:{(357,1),(358,1),(365,1)}
       412:{3,4,5,7}:{(360,1),(442,1),(459,1),(515,1),(524,1)}
       413:{2,4,6,7}:{(359,1),(362,1),(444,1),(460,1)}
       414:{2,4,6}:{(360,1),(361,1),(366,1),(455,1),(459,1)}
       415:{2,3,5,6,7}:{(361,1),(362,1),(364,1),(367,1),(446,1),(456,1),(460,1),(462,1),(463,1),(520,1),(524,1),(549,1)}
       416:{2,5,6}:{(363,1),(368,1),(457,1),(463,1)}
       417:{2,4,6,7}:{(363,1),(364,1),(365,1),(369,1),(458,1),(463,1)}
       418:{1,4,5,6}:{(366,1),(368,1),(461,1),(464,1),(547,1)}
       419:{1,4,6,7}:{(366,1),(367,1),(447,1),(462,1),(464,1)}
       420:{1,3,5,7}:{(368,1),(369,1),(463,1),(464,1),(524,1)}
       421:{1,2,3,5}:{(380,1),(465,1),(475,1),(525,1)}
       422:{1,3,4,5}:{(370,1),(372,1),(467,1),(468,1),(470,1),(525,1),(530,1)}
       423:{2,3,4,6}:{(370,1),(373,1),(381,1),(468,1),(469,1),(484,1),(527,1),(533,1)}
       424:{1,3,4}:{(371,1),(466,1),(470,1)}
       425:{1,2,4,5}:{(371,1),(372,1),(375,1),(467,1),(470,1),(471,1)}
       426:{1,4,6}:{(372,1),(373,1),(376,1),(472,1)}
       427:{2,4,7}:{(373,1),(374,1),(377,1),(472,1)}
       428:{1,2,5,6}:{(375,1),(376,1),(378,1),(471,1),(473,1),(477,1)}
       429:{1,3,5,7}:{(376,1),(377,1),(379,1),(388,1),(472,1),(473,1),(529,1)}
       430:{1,2,6,7}:{(378,1),(379,1),(473,1),(491,1)}
       431:{1,2,4,6}:{(380,1),(400,1),(465,1),(474,1),(475,1),(488,1)}
       432:{2,3,4,6}:{(382,1),(401,1),(466,1),(474,1),(476,1),(490,1),(527,1),(533,1)}
       433:{1,3,5,6}:{(381,1),(384,1),(468,1),(477,1),(478,1)}
       434:{2,3,5,7}:{(381,1),(385,1),(402,1),(469,1),(478,1),(485,1)}
       435:{1,3,5}:{(382,1),(383,1),(476,1)}
       436:{1,2,4,5,6}:{(383,1),(384,1),(387,1),(392,1),(404,1),(471,1),(477,1),(480,1),(481,1),(482,1),(494,1),(533,1),(538,1)}
       437:{1,4,5,7}:{(384,1),(385,1),(388,1),(405,1),(472,1),(478,1),(551,1),(552,1)}
       438:{1,4,5}:{(386,1),(394,1),(482,1)}
       439:{1,3,5,6}:{(386,1),(387,1),(389,1),(395,1),(482,1),(483,1)}
       440:{1,2,5,7}:{(387,1),(388,1),(390,1),(396,1),(483,1),(496,1)}
       441:{1,3,6,7}:{(389,1),(390,1),(391,1),(397,1),(483,1),(529,1)}
       442:{3,4,5}:{(394,1),(484,1)}
       443:{3,5,6}:{(392,1),(484,1),(485,1)}
       444:{2,4,5,7}:{(392,1),(393,1),(396,1),(413,1),(485,1),(486,1)}
       445:{2,4,6}:{(394,1),(395,1),(398,1),(482,1),(484,1),(486,1)}
       446:{2,3,5,7}:{(395,1),(396,1),(397,1),(399,1),(483,1),(485,1),(486,1)}
       447:{1,4,7}:{(398,1),(399,1),(486,1)}
       448:{1,3,4,7}:{(400,1),(401,1),(474,1),(487,1),(550,1),(551,1)}
       449:{1,2,5,7}:{(400,1),(475,1),(487,1),(488,1)}
       450:{2,3,5,7}:{(401,1),(403,1),(476,1),(487,1),(489,1),(490,1)}
       451:{1,3,6,7}:{(402,1),(405,1),(478,1),(491,1)}
       452:{1,3,4,5,7}:{(403,1),(406,1),(412,1),(479,1),(489,1),(492,1),(535,1),(540,1)}
       453:{1,3,6}:{(403,1),(404,1),(490,1)}
       454:{1,2,4,6,7}:{(404,1),(405,1),(408,1),(413,1),(481,1),(491,1),(493,1),(495,1),(539,1)}
       455:{1,4,6}:{(406,1),(407,1),(414,1)}
       456:{1,3,5,6,7}:{(407,1),(408,1),(410,1),(415,1),(483,1),(493,1),(495,1),(496,1),(540,1)}
       457:{1,5,6}:{(409,1),(416,1),(496,1)}
       458:{1,4,6,7}:{(409,1),(410,1),(411,1),(417,1),(496,1)}
       459:{3,4,6}:{(412,1),(414,1),(497,1)}
       460:{3,6,7}:{(413,1),(485,1)}
       461:{2,4,5,6}:{(414,1),(416,1),(418,1),(494,1),(497,1),(499,1),(538,1)}
       462:{2,4,6,7}:{(414,1),(415,1),(419,1),(486,1),(495,1),(498,1),(499,1)}
       463:{2,5,7}:{(416,1),(417,1),(420,1),(496,1)}
       464:{1,4,5,7}:{(418,1),(419,1),(420,1),(499,1),(552,1)}
       465:{1,2,4}:{(421,1),(500,1)}
       466:{2,3,4}:{(424,1),(500,1),(502,1)}
       467:{2,4,5}:{(422,1),(502,1),(503,1)}
       468:{1,3,4,6}:{(422,1),(423,1),(426,1),(433,1),(503,1),(504,1),(505,1),(541,1),(544,1)}
       469:{2,3,4,7}:{(423,1),(427,1),(434,1),(504,1),(515,1),(543,1),(546,1)}
       470:{1,3,5}:{(424,1),(425,1),(502,1),(505,1)}
       471:{1,2,4,6}:{(425,1),(426,1),(428,1),(503,1),(505,1),(506,1)}
       472:{1,4,7}:{(426,1),(427,1),(429,1)}
       473:{1,2,5,7}:{(428,1),(429,1),(430,1),(506,1),(511,1)}
       474:{1,3,4,6}:{(431,1),(432,1),(448,1),(500,1),(507,1),(517,1),(541,1),(544,1)}
       475:{1,2,5}:{(431,1),(507,1)}
       476:{2,3,5}:{(432,1),(435,1),(507,1),(509,1)}
       477:{2,5,6}:{(433,1),(503,1),(511,1)}
       478:{1,3,5,7}:{(433,1),(434,1),(437,1),(451,1),(504,1),(511,1)}
       479:{1,3,4,5}:{(435,1),(438,1),(442,1),(509,1),(512,1)}
       480:{1,3,5,6}:{(435,1),(436,1),(443,1),(453,1),(505,1),(510,1),(512,1),(513,1)}
       481:{1,2,4,5,7}:{(436,1),(437,1),(440,1),(444,1),(454,1),(506,1),(511,1),(513,1),(514,1),(523,1),(546,1),(549,1)}
       482:{1,4,6}:{(438,1),(439,1),(445,1),(514,1)}
       483:{1,3,5,7}:{(439,1),(440,1),(441,1),(446,1),(514,1)}
       484:{3,4,6}:{(442,1),(443,1),(445,1),(515,1)}
       485:{3,5,7}:{(443,1),(444,1),(460,1),(515,1)}
       486:{2,4,7}:{(445,1),(446,1),(447,1),(514,1),(515,1)}
       487:{1,3,5,7}:{(448,1),(449,1),(450,1),(507,1),(516,1),(517,1)}
       488:{1,2,6}:{(449,1),(517,1)}
       489:{2,4,5,7}:{(450,1),(452,1),(509,1),(516,1),(519,1),(546,1),(549,1)}
       490:{2,3,6}:{(450,1),(453,1),(517,1),(519,1)}
       491:{2,6,7}:{(451,1),(511,1)}
       492:{1,3,4,6}:{(452,1),(453,1),(455,1),(459,1),(519,1),(521,1)}
       493:{1,3,6,7}:{(453,1),(454,1),(460,1),(513,1),(520,1)}
       494:{1,4,5,6}:{(455,1),(457,1),(461,1),(521,1),(523,1)}
       495:{1,4,6,7}:{(455,1),(456,1),(462,1),(514,1),(523,1)}
       496:{1,5,7}:{(457,1),(458,1),(463,1)}
       497:{3,5,6}:{(459,1),(461,1),(524,1)}
       498:{3,4,6,7}:{(459,1),(460,1),(462,1),(515,1),(524,1)}
       499:{2,4,5,7}:{(461,1),(462,1),(463,1),(464,1),(523,1),(524,1),(549,1)}
       500:{1,3,4}:{(465,1),(466,1),(525,1)}
       501:{1,2,4,5}:{(465,1),(467,1),(475,1),(525,1),(526,1),(530,1)}
       502:{2,3,5}:{(466,1),(467,1),(470,1),(525,1),(527,1)}
       503:{2,4,6}:{(467,1),(468,1),(477,1),(527,1),(528,1)}
       504:{1,3,4,7}:{(468,1),(469,1),(472,1),(478,1),(528,1),(529,1),(550,1),(551,1)}
       505:{1,3,6}:{(470,1),(471,1),(527,1),(529,1)}
       506:{1,2,4,7}:{(471,1),(472,1),(473,1),(528,1),(529,1)}
       507:{1,3,5}:{(474,1),(475,1),(476,1),(530,1)}
       508:{1,2,5,6}:{(475,1),(477,1),(488,1),(526,1),(531,1),(532,1)}
       509:{2,4,5}:{(476,1),(479,1),(530,1),(533,1)}
       510:{2,3,5,6}:{(476,1),(477,1),(480,1),(490,1),(527,1),(531,1),(533,1),(534,1),(538,1)}
       511:{2,5,7}:{(477,1),(478,1),(491,1),(528,1)}
       512:{1,3,4,6}:{(479,1),(480,1),(482,1),(484,1),(533,1),(535,1)}
       513:{1,3,5,7}:{(480,1),(481,1),(485,1),(493,1),(529,1),(534,1),(535,1)}
       514:{1,4,7}:{(482,1),(483,1),(486,1)}
       515:{3,4,7}:{(484,1),(485,1),(486,1)}
       516:{1,4,5,7}:{(487,1),(489,1),(530,1),(536,1),(551,1),(552,1)}
       517:{1,3,6}:{(487,1),(488,1),(490,1),(536,1)}
       518:{1,2,6,7}:{(488,1),(491,1),(532,1),(537,1)}
       519:{2,4,6}:{(489,1),(490,1),(492,1),(536,1),(538,1)}
       520:{2,3,6,7}:{(490,1),(491,1),(493,1),(534,1),(537,1),(539,1)}
       521:{1,3,5,6}:{(492,1),(494,1),(497,1),(538,1),(540,1)}
       522:{1,3,4,6,7}:{(492,1),(493,1),(495,1),(498,1),(535,1),(539,1),(540,1)}
       523:{1,4,5,7}:{(494,1),(495,1),(496,1),(499,1),(540,1)}
       524:{3,5,7}:{(497,1),(498,1),(499,1)}
       525:{1,3,5}:{(500,1),(501,1),(502,1),(541,1)}
       526:{1,2,4,6}:{(501,1),(503,1),(508,1),(541,1),(542,1),(544,1)}
       527:{2,3,6}:{(502,1),(503,1),(505,1),(541,1),(543,1)}
       528:{2,4,7}:{(503,1),(504,1),(511,1),(543,1)}
       529:{1,3,7}:{(505,1),(506,1),(543,1)}
       530:{1,4,5}:{(507,1),(509,1),(544,1)}
       531:{1,3,5,6}:{(507,1),(508,1),(510,1),(517,1),(541,1),(544,1),(545,1),(547,1)}
       532:{1,2,5,7}:{(508,1),(511,1),(518,1),(542,1),(545,1)}
       533:{2,4,6}:{(509,1),(510,1),(512,1),(544,1),(546,1)}
       534:{2,3,5,7}:{(510,1),(511,1),(513,1),(520,1),(543,1),(545,1),(546,1),(549,1)}
       535:{1,3,4,7}:{(512,1),(513,1),(514,1),(515,1),(546,1)}
       536:{1,4,6}:{(516,1),(517,1),(519,1),(547,1)}
       537:{1,3,6,7}:{(517,1),(518,1),(520,1),(545,1),(548,1)}
       538:{2,5,6}:{(519,1),(521,1),(547,1),(549,1)}
       539:{2,4,6,7}:{(519,1),(520,1),(522,1),(546,1),(548,1),(549,1)}
       540:{1,3,5,7}:{(521,1),(522,1),(523,1),(524,1),(549,1)}
       541:{1,3,6}:{(525,1),(526,1),(527,1),(550,1)}
       542:{1,2,4,7}:{(526,1),(528,1),(532,1),(550,1),(551,1)}
       543:{2,3,7}:{(527,1),(528,1),(529,1),(550,1)}
       544:{1,4,6}:{(530,1),(531,1),(533,1),(551,1)}
       545:{1,3,5,7}:{(531,1),(532,1),(534,1),(537,1),(550,1),(551,1),(552,1)}
       546:{2,4,7}:{(533,1),(534,1),(535,1),(551,1)}
       547:{1,5,6}:{(536,1),(538,1),(552,1)}
       548:{1,4,6,7}:{(536,1),(537,1),(539,1),(551,1),(552,1)}
       549:{2,5,7}:{(538,1),(539,1),(540,1),(552,1)}
       550:{1,3,7}:{(541,1),(542,1),(543,1)}
       551:{1,4,7}:{(544,1),(545,1),(546,1)}
       552:{1,5,7}:{(547,1),(548,1),(549,1)}

2305 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2306 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2307 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(52,1),(56,1),(95,1),(96,1),(98,1),(101,1),(126,1),(160,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(31,1),(70,1),(71,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(11,1),(27,1),(35,1),(42,1),(65,1),(72,1),(74,1),(76,1),(80,1),(106,1),(118,1),(119,1),(122,1),(143,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(31,1),(70,1),(116,1),(121,1),(142,1)}
         4:{1,2,4,6,7}:{(8,1),(11,1),(12,1),(41,1),(42,1),(72,1),(115,1),(143,1),(144,1),(145,1),(149,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(50,1),(51,1),(92,1),(93,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(48,1),(89,1),(96,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(54,1),(56,1),(101,1),(126,1),(137,1),(138,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(57,1),(92,1),(100,1),(125,1),(139,1),(155,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(56,1),(94,1)}
        11:{1,3,6,7}:{(4,1),(20,1),(25,1),(60,1),(127,1),(157,1),(160,1)}
        12:{1,2,5,7}:{(4,1),(21,1),(24,1),(25,1),(92,1),(134,1),(155,1)}
        13:{1,2,4,6,7}:{(8,1),(27,1),(28,1),(64,1),(65,1),(72,1),(115,1),(122,1),(123,1),(124,1),(149,1)}
        14:{2,4,5,7}:{(6,1),(29,1),(30,1),(31,1),(70,1),(149,1)}
        15:{2,5,6,7}:{(5,1),(32,1),(34,1),(70,1),(115,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(30,1),(32,1),(35,1)}
        17:{3,4,6,7}:{(6,1),(31,1),(36,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(34,1),(35,1),(74,1),(112,1),(118,1)}
        19:{2,4,6}:{(7,1),(10,1),(35,1),(36,1)}
        20:{2,3,6,7}:{(8,1),(11,1),(27,1),(37,1),(74,1),(81,1),(107,1),(115,1),(152,1)}
        21:{2,5,7}:{(8,1),(9,1),(34,1),(121,1),(142,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(35,1),(38,1),(42,1),(65,1),(79,1),(105,1)}
        23:{3,4,5,7}:{(10,1),(31,1),(36,1),(76,1),(116,1)}
        24:{1,2,5,6}:{(12,1),(34,1),(40,1),(41,1),(112,1),(121,1),(144,1),(148,1),(164,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(37,1),(40,1),(42,1)}
        26:{1,2,4,5,7}:{(12,1),(38,1),(41,1),(42,1),(43,1),(78,1),(79,1),(82,1),(120,1),(121,1),(145,1),(149,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(20,1),(45,1),(85,1),(102,1),(141,1),(160,1)}
        28:{1,2,5,7}:{(13,1),(21,1),(44,1),(45,1),(92,1),(134,1),(139,1)}
        29:{2,4,5,6}:{(14,1),(19,1),(47,1),(48,1),(89,1),(94,1),(159,1)}
        30:{1,4,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1),(92,1),(133,1)}
        31:{3,5,7}:{(14,1),(17,1),(48,1),(160,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1),(54,1)}
        33:{1,3,4,6,7}:{(16,1),(17,1),(50,1),(51,1),(52,1),(55,1),(90,1),(93,1),(133,1),(160,1)}
        34:{2,5,6}:{(18,1),(21,1),(54,1),(137,1)}
        35:{1,4,6}:{(18,1),(19,1),(22,1),(54,1)}
        36:{3,4,6}:{(19,1),(23,1),(48,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(25,1),(45,1),(53,1),(56,1),(57,1),(134,1),(160,1)}
        38:{2,4,5,7}:{(21,1),(22,1),(54,1),(56,1),(57,1),(94,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(50,1),(55,1),(57,1),(58,1),(61,1),(86,1),(90,1),(99,1),(100,1),(125,1),(130,1),(133,1),(158,1),(160,1),(171,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(53,1),(59,1),(60,1),(100,1),(127,1),(155,1),(170,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(54,1),(59,1),(60,1),(97,1),(101,1),(137,1),(159,1)}
        42:{1,4,7}:{(25,1),(56,1),(59,1)}
        43:{1,3,5,7}:{(26,1),(57,1),(60,1),(61,1),(62,1),(100,1),(157,1),(160,1),(170,1),(171,1)}
        44:{1,2,5,6}:{(28,1),(34,1),(63,1),(64,1),(112,1),(123,1),(142,1),(148,1),(153,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(37,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(38,1),(64,1),(65,1),(66,1),(78,1),(105,1),(108,1),(120,1),(124,1),(142,1),(149,1),(153,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(30,1),(35,1),(67,1),(68,1),(79,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(31,1),(36,1),(116,1),(167,1)}
        49:{2,4,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(113,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(33,1),(68,1),(69,1),(70,1)}
        51:{3,6,7}:{(32,1),(69,1),(74,1)}
        52:{2,4,6,7}:{(33,1),(70,1),(71,1),(72,1),(75,1),(113,1),(115,1),(149,1)}
        53:{2,3,5,6}:{(34,1),(37,1),(40,1),(63,1),(73,1),(74,1),(81,1),(107,1),(116,1),(121,1),(142,1),(148,1),(167,1),(168,1)}
        54:{2,4,6}:{(34,1),(35,1),(38,1),(74,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(39,1),(68,1),(74,1),(75,1),(110,1),(118,1),(147,1),(167,1)}
        56:{2,4,7}:{(37,1),(42,1),(65,1),(73,1),(76,1)}
        57:{3,5,7}:{(38,1),(74,1),(76,1),(116,1)}
        58:{2,4,5,7}:{(39,1),(70,1),(75,1),(77,1),(78,1),(82,1),(108,1),(113,1),(120,1),(121,1),(142,1),(146,1),(149,1),(166,1)}
        59:{1,4,6}:{(40,1),(42,1),(73,1),(79,1),(173,1)}
        60:{1,3,6}:{(41,1),(43,1),(74,1),(81,1),(167,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(76,1),(80,1),(82,1),(173,1),(174,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(120,1),(121,1),(152,1),(168,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(53,1),(84,1),(85,1),(102,1),(125,1),(139,1),(163,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(54,1),(84,1),(85,1),(97,1),(126,1),(137,1),(159,1)}
        65:{1,4,7}:{(45,1),(56,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(57,1),(85,1),(86,1),(87,1),(125,1),(141,1),(160,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(49,1),(54,1),(88,1),(89,1),(94,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(55,1),(88,1),(89,1),(100,1),(125,1)}
        69:{3,5,7}:{(49,1),(51,1),(88,1),(90,1)}
        70:{2,5,7}:{(50,1),(52,1),(89,1),(92,1)}
        71:{2,3,6,7}:{(51,1),(52,1),(91,1),(93,1),(96,1),(160,1)}
        72:{1,4,6,7}:{(52,1),(92,1),(93,1),(97,1),(133,1)}
        73:{2,4,6}:{(53,1),(56,1),(59,1),(84,1),(94,1),(95,1),(172,1)}
        74:{3,6}:{(54,1),(57,1)}
        75:{2,4,6}:{(55,1),(58,1),(89,1),(96,1),(97,1),(137,1)}
        76:{3,4,7}:{(56,1),(57,1),(95,1),(160,1)}
        77:{2,3,5,7}:{(57,1),(58,1),(96,1),(98,1),(99,1),(135,1),(160,1),(171,1)}
        78:{1,4,5,7}:{(58,1),(92,1),(97,1),(99,1),(103,1),(128,1),(133,1),(139,1),(155,1),(158,1)}
        79:{1,4,5}:{(59,1),(94,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(95,1),(100,1),(101,1)}
        81:{2,3,6}:{(60,1),(62,1),(101,1),(102,1),(137,1)}
        82:{2,4,7}:{(61,1),(62,1),(101,1),(103,1),(172,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(65,1),(73,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(74,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(76,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(120,1),(142,1),(152,1),(168,1)}
        88:{3,5,6}:{(67,1),(69,1),(74,1),(110,1),(116,1)}
        89:{2,5,6}:{(68,1),(70,1),(75,1),(112,1),(121,1),(142,1)}
        90:{3,4,7}:{(69,1),(110,1),(113,1)}
        91:{2,3,5,7}:{(69,1),(70,1),(71,1),(111,1),(113,1),(114,1)}
        92:{1,5,7}:{(70,1),(72,1),(112,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(114,1),(115,1),(118,1)}
        94:{2,4,5}:{(73,1),(79,1),(105,1),(116,1),(121,1),(142,1)}
        95:{3,4,6}:{(73,1),(74,1),(76,1),(116,1),(167,1),(174,1)}
        96:{2,3,6}:{(74,1),(75,1),(77,1),(118,1),(167,1)}
        97:{1,4,6}:{(75,1),(78,1),(112,1),(118,1)}
        98:{2,3,4,7}:{(76,1),(77,1),(82,1),(108,1),(113,1),(117,1),(119,1),(152,1),(174,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(118,1),(119,1),(120,1),(150,1)}
       100:{1,3,5}:{(79,1),(80,1),(116,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,3,6}:{(81,1),(83,1),(122,1),(123,1)}
       103:{1,4,7}:{(82,1),(83,1),(122,1),(169,1)}
       104:{1,2,5,7}:{(83,1),(120,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(94,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(95,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(137,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(90,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(91,1),(96,1),(131,1),(132,1),(135,1)}
       112:{1,5,6}:{(89,1),(92,1),(97,1),(139,1),(155,1)}
       113:{2,4,7}:{(90,1),(91,1),(131,1),(133,1)}
       114:{1,3,5,7}:{(91,1),(92,1),(93,1),(132,1),(133,1),(134,1),(160,1)}
       115:{2,6,7}:{(93,1),(134,1),(137,1)}
       116:{3,5}:{(94,1),(95,1)}
       117:{2,3,4,6}:{(95,1),(96,1),(98,1),(101,1),(126,1),(131,1),(135,1),(136,1),(162,1),(172,1)}
       118:{1,3,6}:{(96,1),(97,1),(99,1),(137,1)}
       119:{1,3,4,7}:{(98,1),(99,1),(103,1),(128,1),(133,1),(136,1),(138,1),(141,1),(157,1),(160,1)}
       120:{2,5,7}:{(99,1),(137,1),(138,1),(161,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,6}:{(102,1),(104,1),(137,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(138,1),(140,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(116,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(120,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(116,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(113,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(147,1),(148,1),(150,1),(167,1)}
       133:{1,4,7}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,5,7}:{(114,1),(115,1),(148,1),(149,1)}
       135:{2,3,5}:{(116,1),(117,1),(121,1),(142,1),(146,1),(150,1)}
       136:{1,3,4,6}:{(117,1),(118,1),(119,1),(122,1),(143,1),(147,1),(150,1),(151,1),(154,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       137:{2,6}:{(118,1),(120,1)}
       138:{2,4,7}:{(119,1),(120,1),(151,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(151,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(124,1),(152,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(137,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(138,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(135,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(133,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(134,1),(137,1),(159,1),(161,1)}
       149:{2,4,7}:{(133,1),(134,1),(159,1),(160,1)}
       150:{1,3,5}:{(135,1),(136,1),(139,1),(155,1),(158,1),(161,1),(171,1)}
       151:{2,4,6}:{(136,1),(137,1),(138,1),(161,1),(162,1),(172,1)}
       152:{2,3,7}:{(138,1),(141,1),(157,1),(160,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(161,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(162,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(151,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(152,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(149,1),(166,1),(167,1)}
       160:{3,7}:{(149,1),(167,1)}
       161:{2,5}:{(150,1),(151,1)}
       162:{2,3,6}:{(151,1),(152,1),(154,1),(165,1),(167,1),(168,1)}
       163:{1,3,5}:{(153,1),(154,1),(168,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(161,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(162,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(160,1),(171,1)}
       168:{2,3,5}:{(161,1),(162,1),(163,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2308 :   0:{2,3,4,5}:{(1,1),(2,1),(21,1),(99,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(38,1),(78,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(29,1),(83,1),(108,1),(113,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(45,1),(83,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(45,1)}
         5:{3,4,5,6}:{(15,1),(16,1),(96,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(58,1),(98,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(20,1),(24,1),(49,1),(62,1),(90,1),(96,1)}
         9:{2,4,5}:{(2,1),(20,1),(21,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5}:{(3,1),(21,1),(24,1),(25,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(26,1),(27,1)}
        13:{1,2,4}:{(4,1),(25,1)}
        14:{1,2,4,5}:{(9,1),(28,1),(29,1),(67,1),(105,1),(108,1)}
        15:{3,4,5,7}:{(5,1),(31,1),(32,1),(112,1),(133,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(32,1),(33,1),(78,1),(135,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(32,1),(34,1),(35,1)}
        18:{1,3,5,6}:{(6,1),(8,1),(33,1),(35,1),(36,1),(75,1)}
        19:{1,3,4,7}:{(7,1),(8,1),(35,1),(37,1),(42,1),(70,1),(82,1),(107,1),(112,1)}
        20:{2,4,6}:{(8,1),(9,1),(36,1),(37,1),(38,1)}
        21:{2,3,5}:{(9,1),(11,1),(29,1),(38,1),(39,1)}
        22:{1,2,5,6}:{(10,1),(36,1),(40,1),(41,1),(45,1),(85,1)}
        23:{1,2,4,7}:{(10,1),(37,1),(40,1),(42,1),(82,1)}
        24:{1,3,6}:{(10,1),(11,1),(38,1),(42,1)}
        25:{1,3,4}:{(11,1),(13,1),(39,1)}
        26:{1,2,3,7}:{(12,1),(42,1),(44,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(43,1),(44,1),(45,1),(85,1)}
        28:{1,2,4,6}:{(14,1),(20,1),(47,1),(48,1),(49,1),(90,1)}
        29:{1,3,5}:{(14,1),(21,1),(49,1),(50,1)}
        30:{4,5,6,7}:{(51,1),(137,1)}
        31:{3,4,6,7}:{(15,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(15,1),(16,1),(17,1),(52,1),(53,1),(98,1),(126,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(53,1),(54,1),(62,1),(90,1),(128,1),(136,1)}
        34:{2,3,6,7}:{(17,1),(52,1),(55,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(53,1),(55,1),(56,1),(95,1)}
        36:{2,5,6}:{(18,1),(20,1),(56,1)}
        37:{2,4,7}:{(19,1),(20,1),(56,1),(58,1)}
        38:{2,3,6}:{(20,1),(21,1),(24,1),(49,1),(58,1)}
        39:{2,3,4}:{(21,1),(25,1),(50,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(56,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(22,1),(24,1),(57,1),(61,1),(62,1),(64,1),(103,1),(128,1)}
        42:{1,3,7}:{(23,1),(24,1),(58,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(27,1),(59,1),(62,1),(63,1),(64,1),(103,1)}
        44:{1,2,4,7}:{(26,1),(27,1),(63,1),(65,1)}
        45:{1,2,5}:{(27,1),(64,1)}
        46:{1,2,3,5}:{(29,1),(66,1),(67,1),(105,1)}
        47:{1,2,5,6}:{(28,1),(36,1),(68,1),(69,1),(105,1),(129,1)}
        48:{1,2,4,7}:{(28,1),(37,1),(68,1),(70,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(38,1),(70,1)}
        50:{1,3,4}:{(29,1),(39,1),(67,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(72,1),(133,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(34,1),(72,1),(73,1)}
        53:{1,4,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(82,1),(107,1),(117,1),(130,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(74,1),(75,1),(78,1),(135,1),(139,1)}
        55:{1,3,6,7}:{(34,1),(35,1),(73,1),(76,1),(111,1)}
        56:{2,5,7}:{(35,1),(36,1),(37,1),(76,1)}
        57:{2,3,5,6}:{(36,1),(38,1),(41,1),(69,1),(75,1),(77,1),(78,1),(80,1),(116,1),(135,1)}
        58:{2,3,7}:{(37,1),(38,1),(42,1),(70,1)}
        59:{2,3,4,6}:{(38,1),(39,1),(43,1),(71,1),(78,1),(79,1),(80,1),(116,1)}
        60:{1,2,6,7}:{(40,1),(76,1),(81,1),(85,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(42,1),(77,1),(81,1),(82,1),(117,1)}
        62:{1,4,6}:{(41,1),(78,1),(82,1),(83,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(44,1),(79,1),(82,1),(84,1)}
        64:{1,3,5}:{(43,1),(45,1),(80,1),(83,1)}
        65:{1,2,5,7}:{(44,1),(45,1),(84,1),(85,1)}
        66:{1,2,3,6}:{(46,1),(49,1),(86,1),(87,1)}
        67:{1,2,4}:{(46,1),(50,1)}
        68:{1,2,5,7}:{(47,1),(48,1),(56,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(47,1),(49,1),(57,1),(89,1),(90,1),(92,1),(122,1),(136,1)}
        70:{1,3,7}:{(48,1),(49,1),(58,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(59,1),(87,1),(90,1),(91,1),(92,1),(122,1)}
        72:{2,5,6,7}:{(51,1),(52,1),(93,1),(126,1)}
        73:{1,4,6,7}:{(52,1),(53,1),(55,1),(93,1),(94,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(56,1),(94,1),(95,1),(98,1),(126,1),(137,1)}
        75:{3,5,6}:{(54,1),(95,1),(96,1)}
        76:{2,6,7}:{(55,1),(56,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(89,1),(95,1),(97,1),(98,1),(126,1)}
        78:{2,4,6}:{(57,1),(62,1),(90,1),(96,1),(98,1),(99,1)}
        79:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(98,1),(100,1)}
        80:{2,3,5}:{(59,1),(64,1),(92,1),(99,1)}
        81:{1,3,6,7}:{(60,1),(61,1),(97,1),(101,1),(103,1)}
        82:{1,4,7}:{(61,1),(62,1),(98,1)}
        83:{1,4,5}:{(62,1),(64,1),(99,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(65,1),(100,1),(102,1),(103,1)}
        85:{1,2,6}:{(65,1),(103,1)}
        86:{1,2,3,7}:{(66,1),(70,1),(104,1)}
        87:{1,2,4,6}:{(66,1),(67,1),(71,1),(104,1),(105,1),(129,1)}
        88:{1,2,6,7}:{(68,1),(76,1),(106,1),(129,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(70,1),(77,1),(106,1),(107,1),(130,1)}
        90:{1,4,6}:{(69,1),(78,1),(107,1),(108,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(79,1),(104,1),(107,1),(109,1)}
        92:{1,3,5}:{(71,1),(80,1),(105,1),(108,1)}
        93:{1,5,6,7}:{(72,1),(73,1),(110,1),(117,1),(130,1)}
        94:{2,4,6,7}:{(73,1),(74,1),(76,1),(110,1),(111,1),(132,1)}
        95:{3,5,7}:{(74,1),(75,1),(111,1),(112,1)}
        96:{3,4,6}:{(75,1),(78,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(76,1),(77,1),(81,1),(106,1),(111,1),(114,1),(116,1)}
        98:{2,4,7}:{(77,1),(78,1),(82,1),(107,1),(112,1)}
        99:{2,4,5}:{(78,1),(80,1),(83,1),(108,1),(113,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(84,1),(109,1),(115,1),(116,1)}
       101:{1,4,6,7}:{(81,1),(82,1),(114,1),(117,1),(118,1)}
       102:{1,4,5,7}:{(82,1),(83,1),(84,1),(115,1),(117,1),(118,1)}
       103:{1,3,6}:{(84,1),(85,1),(116,1),(118,1)}
       104:{1,2,4,7}:{(86,1),(87,1),(91,1),(119,1)}
       105:{1,2,5}:{(87,1),(92,1)}
       106:{1,3,6,7}:{(88,1),(89,1),(97,1),(120,1),(122,1)}
       107:{1,4,7}:{(89,1),(90,1),(98,1)}
       108:{1,4,5}:{(90,1),(92,1),(99,1)}
       109:{1,3,5,7}:{(91,1),(92,1),(100,1),(119,1),(121,1),(122,1)}
       110:{2,5,6,7}:{(93,1),(94,1),(123,1),(126,1)}
       111:{3,6,7}:{(94,1),(95,1)}
       112:{3,4,7}:{(95,1),(96,1),(98,1)}
       113:{3,4,5}:{(96,1),(99,1)}
       114:{2,4,6,7}:{(97,1),(98,1),(101,1),(120,1),(124,1),(126,1),(127,1)}
       115:{2,4,5,7}:{(98,1),(99,1),(100,1),(102,1),(121,1),(125,1),(126,1),(127,1)}
       116:{2,3,6}:{(100,1),(103,1),(122,1),(127,1)}
       117:{1,5,7}:{(101,1),(126,1),(128,1)}
       118:{1,4,6}:{(102,1),(103,1),(127,1),(128,1)}
       119:{1,2,5,7}:{(104,1),(105,1),(109,1),(129,1)}
       120:{1,4,6,7}:{(106,1),(107,1),(114,1),(130,1),(131,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(109,1),(115,1),(130,1),(131,1)}
       122:{1,3,6}:{(109,1),(116,1),(129,1),(131,1)}
       123:{3,5,6,7}:{(110,1),(111,1),(132,1),(133,1)}
       124:{3,4,6,7}:{(111,1),(112,1),(114,1),(132,1),(133,1),(134,1)}
       125:{3,4,5,7}:{(112,1),(113,1),(115,1),(133,1),(134,1)}
       126:{2,5,7}:{(114,1),(117,1),(130,1),(133,1),(135,1)}
       127:{2,4,6}:{(115,1),(116,1),(118,1),(131,1),(134,1),(135,1)}
       128:{1,5,6}:{(117,1),(118,1),(135,1)}
       129:{1,2,6}:{(119,1),(122,1)}
       130:{1,5,7}:{(120,1),(126,1),(136,1)}
       131:{1,4,6}:{(121,1),(122,1),(127,1),(136,1)}
       132:{4,6,7}:{(123,1),(137,1)}
       133:{3,5,7}:{(124,1),(126,1),(137,1),(138,1)}
       134:{3,4,6}:{(125,1),(127,1),(138,1)}
       135:{2,5,6}:{(126,1),(127,1),(128,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2309 :   0:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(38,1),(47,1),(56,1),(58,1),(109,1),(122,1),(123,1),(171,1),(192,1),(205,1),(236,1),(246,1),(278,1)}
         1:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(10,1),(42,1),(56,1),(114,1),(192,1)}
         2:{1,3,4,6,7}:{(8,1),(10,1),(11,1),(48,1),(53,1),(56,1),(128,1),(131,1)}
         3:{1,3,4,5,7}:{(15,1),(16,1),(18,1),(21,1),(30,1),(59,1),(68,1),(70,1),(83,1),(94,1),(135,1),(146,1),(156,1),(157,1),(219,1),(220,1),(224,1),(268,1)}
         4:{1,3,4,6,7}:{(16,1),(17,1),(18,1),(20,1),(75,1),(80,1),(156,1),(157,1),(224,1)}
         5:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(25,1),(63,1),(80,1)}
         6:{1,3,5,7}:{(0,1),(21,1),(22,1),(23,1),(83,1),(94,1),(206,1),(224,1),(259,1),(268,1)}
         7:{1,2,4,6}:{(0,1),(23,1),(24,1),(72,1),(82,1),(87,1),(89,1),(150,1),(221,1),(232,1)}
         8:{1,3,6,7}:{(1,1),(23,1),(26,1),(27,1),(224,1),(232,1)}
         9:{1,2,5,7}:{(1,1),(24,1),(27,1),(29,1),(77,1),(155,1),(277,1)}
        10:{2,4,6,7}:{(2,1),(26,1),(28,1),(29,1),(82,1),(89,1),(92,1)}
        11:{1,3,5,7}:{(2,1),(25,1),(29,1),(30,1),(83,1),(94,1)}
        12:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(38,1),(95,1),(104,1),(106,1),(109,1),(120,1),(173,1),(174,1),(192,1),(197,1),(244,1),(246,1),(253,1)}
        13:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(35,1),(42,1),(104,1),(114,1),(192,1)}
        14:{1,3,4,6,7}:{(33,1),(35,1),(36,1),(96,1),(101,1),(104,1),(179,1),(182,1)}
        15:{2,4,5,7}:{(3,1),(37,1),(38,1),(39,1),(43,1),(47,1),(95,1),(109,1),(116,1),(122,1),(173,1),(187,1),(192,1),(246,1)}
        16:{1,3,4,6}:{(3,1),(39,1),(40,1),(53,1),(101,1),(110,1),(128,1),(179,1),(189,1),(190,1),(248,1)}
        17:{2,4,6,7}:{(4,1),(39,1),(41,1),(42,1),(43,1),(114,1),(116,1),(192,1)}
        18:{1,3,5,7}:{(4,1),(40,1),(43,1),(44,1),(118,1)}
        19:{2,5,6,7}:{(5,1),(43,1),(45,1),(46,1),(52,1),(100,1)}
        20:{1,4,6,7}:{(5,1),(44,1),(46,1),(53,1),(101,1),(195,1)}
        21:{1,3,4,7}:{(6,1),(47,1),(48,1),(56,1),(131,1),(278,1),(284,1)}
        22:{2,3,5,7}:{(6,1),(47,1),(49,1),(50,1),(109,1),(122,1),(184,1),(245,1)}
        23:{1,3,6}:{(6,1),(7,1),(50,1),(128,1),(248,1)}
        24:{1,2,5,6}:{(7,1),(9,1),(51,1),(52,1),(112,1),(122,1),(188,1),(236,1),(291,1)}
        25:{1,3,5,6}:{(11,1),(52,1),(53,1),(128,1)}
        26:{2,3,6,7}:{(8,1),(10,1),(50,1),(54,1),(55,1),(114,1),(128,1),(202,1)}
        27:{1,3,5,7}:{(8,1),(9,1),(51,1),(55,1),(56,1),(205,1),(258,1)}
        28:{1,4,6,7}:{(10,1),(54,1),(57,1),(121,1),(127,1),(130,1)}
        29:{2,5,7}:{(10,1),(11,1),(52,1),(57,1),(122,1)}
        30:{1,4,5,7}:{(11,1),(53,1),(56,1),(58,1),(123,1),(205,1)}
        31:{1,3,5,7}:{(12,1),(59,1),(60,1),(61,1),(135,1),(146,1),(160,1),(224,1),(227,1),(268,1)}
        32:{1,2,4,6}:{(12,1),(61,1),(62,1),(72,1),(134,1),(139,1),(141,1),(150,1),(221,1),(264,1)}
        33:{1,3,6,7}:{(13,1),(61,1),(64,1),(65,1),(224,1),(264,1)}
        34:{1,2,5,7}:{(13,1),(62,1),(65,1),(67,1),(77,1),(155,1),(296,1)}
        35:{2,4,6,7}:{(14,1),(64,1),(66,1),(67,1),(134,1),(141,1),(144,1)}
        36:{1,3,5,7}:{(14,1),(63,1),(67,1),(68,1),(135,1),(146,1)}
        37:{2,3,5,7}:{(15,1),(69,1),(70,1),(71,1),(94,1),(146,1),(149,1),(170,1),(216,1),(224,1),(268,1)}
        38:{1,4,5,7}:{(15,1),(70,1),(72,1),(77,1),(81,1),(133,1),(156,1),(162,1),(208,1),(219,1)}
        39:{2,4,6}:{(15,1),(16,1),(71,1),(72,1),(73,1),(150,1)}
        40:{1,3,5,6}:{(16,1),(18,1),(73,1),(74,1),(83,1),(135,1),(154,1)}
        41:{2,3,6,7}:{(17,1),(71,1),(75,1),(76,1),(80,1),(159,1),(224,1)}
        42:{1,4,6,7}:{(17,1),(72,1),(75,1),(77,1),(156,1)}
        43:{2,5,7}:{(17,1),(18,1),(73,1),(77,1)}
        44:{1,4,5,7}:{(18,1),(20,1),(74,1),(78,1),(156,1),(226,1)}
        45:{1,5,6,7}:{(19,1),(77,1),(79,1),(88,1),(140,1)}
        46:{2,4,6,7}:{(19,1),(20,1),(78,1),(79,1),(80,1),(89,1),(141,1),(159,1)}
        47:{2,4,7}:{(21,1),(22,1),(81,1),(82,1),(267,1)}
        48:{1,3,4,6}:{(21,1),(23,1),(82,1),(83,1),(87,1),(166,1)}
        49:{1,3,5,7}:{(22,1),(81,1),(84,1),(85,1),(160,1),(162,1),(227,1)}
        50:{2,3,6}:{(22,1),(23,1),(82,1),(85,1),(150,1)}
        51:{1,3,5,6}:{(23,1),(24,1),(27,1),(83,1),(86,1),(87,1),(232,1),(259,1),(275,1),(276,1)}
        52:{2,5,6}:{(25,1),(29,1),(88,1),(89,1)}
        53:{1,4,6}:{(25,1),(30,1),(89,1),(232,1)}
        54:{1,3,6,7}:{(26,1),(28,1),(85,1),(90,1),(91,1),(167,1)}
        55:{2,3,5,7}:{(26,1),(27,1),(29,1),(86,1),(91,1),(92,1),(94,1),(155,1),(170,1),(224,1),(233,1)}
        56:{1,4,7}:{(27,1),(87,1),(92,1)}
        57:{1,5,7}:{(28,1),(29,1),(88,1),(162,1)}
        58:{2,4,5,7}:{(29,1),(30,1),(89,1),(92,1),(93,1),(94,1),(163,1),(170,1)}
        59:{1,3,4,7}:{(31,1),(95,1),(96,1),(104,1),(182,1),(253,1),(284,1)}
        60:{2,3,5,7}:{(31,1),(95,1),(97,1),(98,1),(109,1),(173,1),(184,1),(245,1)}
        61:{1,3,6}:{(31,1),(32,1),(98,1),(179,1),(248,1)}
        62:{1,2,5,6}:{(32,1),(34,1),(99,1),(100,1),(112,1),(173,1),(188,1),(197,1),(304,1)}
        63:{1,3,5,6}:{(36,1),(100,1),(101,1),(179,1)}
        64:{2,3,6,7}:{(33,1),(35,1),(98,1),(102,1),(103,1),(114,1),(179,1),(241,1)}
        65:{1,3,5,7}:{(33,1),(34,1),(99,1),(103,1),(104,1),(244,1),(283,1)}
        66:{1,4,6,7}:{(35,1),(102,1),(105,1),(172,1),(178,1),(181,1)}
        67:{2,5,7}:{(35,1),(36,1),(100,1),(105,1),(173,1)}
        68:{1,4,5,7}:{(36,1),(101,1),(104,1),(106,1),(174,1),(244,1)}
        69:{2,3,4,7}:{(37,1),(47,1),(95,1),(107,1),(108,1),(116,1),(131,1),(182,1),(184,1),(204,1),(243,1),(251,1),(284,1)}
        70:{1,3,5,7}:{(37,1),(38,1),(107,1),(109,1),(110,1),(186,1),(205,1),(244,1)}
        71:{2,3,6}:{(37,1),(39,1),(110,1),(128,1),(179,1),(202,1),(241,1),(248,1)}
        72:{1,4,6}:{(38,1),(39,1),(110,1),(112,1)}
        73:{2,5,6}:{(39,1),(40,1),(43,1),(112,1),(122,1),(173,1)}
        74:{1,4,5,6}:{(40,1),(44,1),(53,1),(101,1),(113,1),(123,1),(174,1),(189,1),(250,1)}
        75:{1,3,6,7}:{(41,1),(42,1),(110,1),(114,1),(115,1),(195,1)}
        76:{2,3,5,7}:{(41,1),(43,1),(111,1),(115,1),(116,1),(118,1),(194,1),(251,1)}
        77:{1,5,7}:{(42,1),(43,1),(112,1)}
        78:{2,4,5,7}:{(43,1),(44,1),(46,1),(113,1),(116,1),(117,1),(118,1),(192,1),(194,1)}
        79:{1,4,6,7}:{(45,1),(46,1),(117,1),(119,1),(127,1),(178,1)}
        80:{3,6,7}:{(46,1),(118,1),(128,1),(179,1)}
        81:{1,4,7}:{(47,1),(49,1),(121,1),(253,1)}
        82:{2,4,6}:{(47,1),(48,1),(50,1),(121,1),(122,1)}
        83:{1,3,5}:{(48,1),(122,1),(123,1),(199,1)}
        84:{1,2,5,7}:{(49,1),(109,1),(120,1),(124,1),(197,1),(244,1)}
        85:{1,3,6}:{(49,1),(50,1),(121,1),(124,1)}
        86:{2,3,5,6}:{(50,1),(51,1),(52,1),(55,1),(122,1),(125,1),(126,1),(128,1),(188,1),(199,1),(202,1),(245,1),(248,1),(255,1),(256,1)}
        87:{1,4,6}:{(51,1),(56,1),(123,1),(126,1),(278,1)}
        88:{1,5,6}:{(52,1),(57,1),(127,1)}
        89:{2,4,6}:{(52,1),(53,1),(58,1),(127,1),(128,1),(202,1)}
        90:{1,2,6,7}:{(54,1),(114,1),(124,1),(129,1),(195,1),(202,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(57,1),(125,1),(129,1),(130,1),(203,1)}
        92:{2,4,7}:{(55,1),(56,1),(126,1),(130,1),(131,1)}
        93:{1,4,5,7}:{(57,1),(58,1),(127,1),(130,1),(132,1),(198,1)}
        94:{3,5,7}:{(58,1),(128,1),(131,1),(199,1)}
        95:{2,4,7}:{(59,1),(60,1),(133,1),(134,1),(267,1)}
        96:{1,3,4,6}:{(59,1),(61,1),(134,1),(135,1),(139,1),(212,1)}
        97:{1,3,5,7}:{(60,1),(133,1),(136,1),(137,1),(206,1),(208,1),(259,1)}
        98:{2,3,6}:{(60,1),(61,1),(134,1),(137,1),(150,1)}
        99:{1,3,5,6}:{(61,1),(62,1),(65,1),(135,1),(138,1),(139,1),(227,1),(264,1),(294,1),(295,1)}
       100:{2,5,6}:{(63,1),(67,1),(140,1),(141,1)}
       101:{1,4,6}:{(63,1),(68,1),(141,1),(264,1)}
       102:{1,3,6,7}:{(64,1),(66,1),(137,1),(142,1),(143,1),(213,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(138,1),(143,1),(144,1),(146,1),(155,1),(216,1),(224,1),(265,1)}
       104:{1,4,7}:{(65,1),(139,1),(144,1)}
       105:{1,5,7}:{(66,1),(67,1),(140,1),(208,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(141,1),(144,1),(145,1),(146,1),(209,1),(216,1)}
       107:{1,3,4,7}:{(69,1),(70,1),(81,1),(133,1),(147,1),(148,1),(156,1),(160,1),(206,1),(224,1),(234,1),(266,1),(272,1)}
       108:{2,3,4,6}:{(69,1),(71,1),(82,1),(134,1),(148,1),(149,1),(152,1),(166,1),(212,1),(217,1),(231,1),(263,1),(267,1),(270,1),(297,1)}
       109:{2,5,7}:{(70,1),(147,1),(150,1),(218,1)}
       110:{1,3,6}:{(70,1),(71,1),(72,1),(150,1),(232,1),(264,1)}
       111:{2,3,5,6}:{(71,1),(73,1),(76,1),(149,1),(151,1),(152,1),(154,1),(223,1),(270,1)}
       112:{1,5,6}:{(72,1),(73,1),(77,1),(162,1),(208,1)}
       113:{2,4,5,6}:{(73,1),(74,1),(78,1),(89,1),(141,1),(152,1),(153,1),(154,1),(163,1),(209,1),(221,1),(223,1)}
       114:{2,6,7}:{(75,1),(150,1),(155,1)}
       115:{1,3,5,7}:{(75,1),(76,1),(77,1),(151,1),(155,1),(156,1),(224,1),(226,1),(272,1)}
       116:{2,4,7}:{(76,1),(152,1),(156,1),(157,1)}
       117:{1,4,5,7}:{(77,1),(78,1),(79,1),(153,1),(156,1),(158,1)}
       118:{3,5,7}:{(78,1),(80,1),(154,1),(157,1),(224,1)}
       119:{1,3,6,7}:{(79,1),(80,1),(158,1),(159,1),(167,1),(213,1)}
       120:{1,2,4,7}:{(81,1),(84,1),(147,1),(160,1),(161,1),(266,1),(296,1)}
       121:{1,4,6}:{(81,1),(82,1),(85,1),(162,1)}
       122:{2,5}:{(82,1),(83,1),(162,1)}
       123:{1,4,5}:{(83,1),(87,1),(163,1),(275,1)}
       124:{1,2,6}:{(84,1),(85,1),(150,1),(264,1)}
       125:{1,3,5,6}:{(85,1),(86,1),(88,1),(91,1),(162,1),(164,1),(165,1),(167,1),(227,1),(229,1),(230,1)}
       126:{2,4,6}:{(86,1),(87,1),(92,1),(163,1),(165,1),(166,1),(267,1)}
       127:{1,4,6}:{(88,1),(89,1),(93,1),(167,1)}
       128:{3,6}:{(89,1),(94,1)}
       129:{1,2,5,7}:{(90,1),(91,1),(155,1),(164,1),(168,1),(170,1),(226,1)}
       130:{1,4,7}:{(91,1),(92,1),(165,1)}
       131:{3,4,7}:{(92,1),(94,1),(166,1),(224,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(167,1),(169,1),(170,1),(229,1)}
       133:{1,4,7}:{(95,1),(97,1),(172,1),(278,1)}
       134:{2,4,6}:{(95,1),(96,1),(98,1),(172,1),(173,1)}
       135:{1,3,5}:{(96,1),(173,1),(174,1),(238,1)}
       136:{1,2,5,7}:{(97,1),(109,1),(171,1),(175,1),(205,1),(236,1)}
       137:{1,3,6}:{(97,1),(98,1),(172,1),(175,1)}
       138:{2,3,5,6}:{(98,1),(99,1),(100,1),(103,1),(173,1),(176,1),(177,1),(179,1),(188,1),(238,1),(241,1),(245,1),(248,1),(280,1),(281,1)}
       139:{1,4,6}:{(99,1),(104,1),(174,1),(177,1),(253,1)}
       140:{1,5,6}:{(100,1),(105,1),(178,1)}
       141:{2,4,6}:{(100,1),(101,1),(106,1),(178,1),(179,1),(241,1)}
       142:{1,2,6,7}:{(102,1),(114,1),(175,1),(180,1),(195,1),(241,1)}
       143:{1,3,5,7}:{(102,1),(103,1),(105,1),(176,1),(180,1),(181,1),(242,1)}
       144:{2,4,7}:{(103,1),(104,1),(177,1),(181,1),(182,1)}
       145:{1,4,5,7}:{(105,1),(106,1),(178,1),(181,1),(183,1),(237,1)}
       146:{3,5,7}:{(106,1),(179,1),(182,1),(238,1)}
       147:{2,4,7}:{(107,1),(109,1),(184,1),(185,1),(288,1)}
       148:{1,3,4,6}:{(107,1),(108,1),(110,1),(121,1),(172,1),(185,1),(186,1),(189,1),(196,1),(235,1),(248,1),(253,1),(257,1),(278,1),(282,1),(284,1),(287,1),(305,1)}
       149:{2,3,5}:{(108,1),(122,1),(173,1),(186,1),(187,1),(199,1),(238,1),(255,1),(280,1)}
       150:{2,6}:{(109,1),(110,1)}
       151:{1,3,5,6}:{(110,1),(111,1),(112,1),(115,1),(186,1),(188,1),(189,1),(248,1),(250,1),(287,1)}
       152:{2,4,6}:{(111,1),(116,1),(187,1),(189,1),(190,1)}
       153:{1,4,5,6}:{(112,1),(113,1),(117,1),(127,1),(178,1),(189,1),(191,1),(198,1),(237,1)}
       154:{3,5,6}:{(113,1),(118,1),(128,1),(179,1),(190,1),(199,1),(238,1),(248,1)}
       155:{2,5,7}:{(114,1),(115,1),(188,1),(192,1),(288,1)}
       156:{1,4,7}:{(115,1),(116,1),(189,1),(192,1)}
       157:{3,4,7}:{(116,1),(118,1),(190,1)}
       158:{1,3,5,7}:{(117,1),(118,1),(119,1),(191,1),(193,1),(194,1)}
       159:{2,6,7}:{(119,1),(194,1),(195,1),(202,1),(241,1)}
       160:{1,3,7}:{(120,1),(184,1),(196,1)}
       161:{1,2,4,6}:{(120,1),(121,1),(124,1),(185,1),(196,1),(197,1),(253,1),(282,1),(304,1),(312,1)}
       162:{1,5}:{(121,1),(122,1)}
       163:{2,4,5}:{(122,1),(123,1),(126,1),(198,1),(199,1),(255,1)}
       164:{1,2,5,6}:{(124,1),(125,1),(129,1),(188,1),(197,1),(200,1),(202,1),(250,1),(255,1)}
       165:{1,4,6}:{(125,1),(126,1),(130,1),(198,1),(253,1)}
       166:{3,4,6}:{(126,1),(128,1),(131,1),(199,1),(248,1),(284,1)}
       167:{1,3,6}:{(127,1),(128,1),(132,1),(202,1)}
       168:{1,2,4,7}:{(129,1),(130,1),(192,1),(200,1),(203,1),(204,1),(252,1),(288,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(132,1),(201,1),(203,1),(204,1)}
       170:{2,5,7}:{(132,1),(202,1),(204,1),(205,1),(255,1)}
       171:{1,2,4,7}:{(133,1),(136,1),(147,1),(206,1),(207,1),(234,1),(277,1)}
       172:{1,4,6}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,5}:{(134,1),(135,1),(208,1)}
       174:{1,4,5}:{(135,1),(139,1),(209,1),(294,1)}
       175:{1,2,6}:{(136,1),(137,1),(150,1),(232,1)}
       176:{1,3,5,6}:{(137,1),(138,1),(140,1),(143,1),(208,1),(210,1),(211,1),(213,1),(259,1),(261,1),(262,1)}
       177:{2,4,6}:{(138,1),(139,1),(144,1),(209,1),(211,1),(212,1),(267,1)}
       178:{1,4,6}:{(140,1),(141,1),(145,1),(213,1)}
       179:{3,6}:{(141,1),(146,1)}
       180:{1,2,5,7}:{(142,1),(143,1),(155,1),(210,1),(214,1),(216,1),(226,1)}
       181:{1,4,7}:{(143,1),(144,1),(211,1)}
       182:{3,4,7}:{(144,1),(146,1),(212,1),(224,1)}
       183:{1,3,5,7}:{(145,1),(146,1),(213,1),(215,1),(216,1),(261,1)}
       184:{2,3,7}:{(147,1),(160,1),(206,1),(217,1),(224,1)}
       185:{2,4,6}:{(147,1),(148,1),(150,1),(217,1),(218,1),(267,1),(299,1),(310,1)}
       186:{1,3,5}:{(148,1),(149,1),(162,1),(208,1),(218,1),(219,1),(268,1),(275,1),(294,1)}
       187:{2,4,5}:{(149,1),(152,1),(219,1),(220,1),(267,1)}
       188:{2,5,6}:{(150,1),(151,1),(155,1),(218,1),(221,1),(299,1)}
       189:{1,4,6}:{(151,1),(152,1),(156,1),(219,1),(221,1)}
       190:{3,4,6}:{(152,1),(154,1),(157,1),(220,1)}
       191:{1,3,5,6}:{(153,1),(154,1),(158,1),(167,1),(213,1),(222,1),(223,1),(229,1),(261,1)}
       192:{2,4,7}:{(155,1),(156,1),(221,1),(224,1)}
       193:{1,3,4,7}:{(156,1),(157,1),(158,1),(222,1),(224,1),(225,1),(272,1)}
       194:{2,5,7}:{(158,1),(159,1),(223,1),(225,1),(226,1)}
       195:{1,6,7}:{(159,1),(226,1),(232,1),(264,1)}
       196:{1,3,6}:{(160,1),(161,1),(217,1),(227,1),(314,1)}
       197:{1,2,5}:{(161,1),(162,1),(218,1),(227,1),(294,1)}
       198:{1,4,5}:{(162,1),(163,1),(165,1),(229,1)}
       199:{3,5}:{(163,1),(166,1)}
       200:{1,2,4,6}:{(164,1),(165,1),(168,1),(221,1),(228,1),(230,1),(231,1),(271,1),(299,1)}
       201:{1,3,4,6}:{(165,1),(166,1),(167,1),(169,1),(229,1),(230,1),(231,1),(273,1)}
       202:{2,6}:{(167,1),(170,1),(232,1)}
       203:{1,3,7}:{(168,1),(224,1),(230,1),(233,1)}
       204:{2,4,7}:{(169,1),(170,1),(231,1),(233,1),(234,1)}
       205:{1,5,7}:{(170,1),(232,1),(234,1),(275,1)}
       206:{1,3,7}:{(171,1),(184,1),(235,1)}
       207:{1,2,4,6}:{(171,1),(172,1),(175,1),(185,1),(235,1),(236,1),(257,1),(278,1),(291,1),(307,1)}
       208:{1,5}:{(172,1),(173,1)}
       209:{2,4,5}:{(173,1),(174,1),(177,1),(237,1),(238,1),(280,1)}
       210:{1,2,5,6}:{(175,1),(176,1),(180,1),(188,1),(236,1),(239,1),(241,1),(250,1),(280,1)}
       211:{1,4,6}:{(176,1),(177,1),(181,1),(237,1),(278,1)}
       212:{3,4,6}:{(177,1),(179,1),(182,1),(238,1),(248,1),(284,1)}
       213:{1,3,6}:{(178,1),(179,1),(183,1),(241,1)}
       214:{1,2,4,7}:{(180,1),(181,1),(192,1),(239,1),(242,1),(243,1),(252,1),(288,1)}
       215:{1,3,4,7}:{(181,1),(182,1),(183,1),(240,1),(242,1),(243,1)}
       216:{2,5,7}:{(183,1),(241,1),(243,1),(244,1),(280,1)}
       217:{2,3,6}:{(184,1),(185,1),(196,1),(235,1),(245,1),(248,1),(313,1)}
       218:{2,5}:{(185,1),(186,1)}
       219:{1,4,5}:{(186,1),(187,1),(189,1),(246,1),(253,1),(278,1)}
       220:{3,4,5}:{(187,1),(190,1),(199,1),(238,1),(284,1)}
       221:{2,4,6}:{(188,1),(189,1),(192,1),(246,1),(248,1)}
       222:{1,3,4,6}:{(189,1),(190,1),(191,1),(193,1),(247,1),(248,1),(249,1),(287,1)}
       223:{2,5,6}:{(191,1),(194,1),(202,1),(241,1),(249,1),(250,1),(255,1),(280,1)}
       224:{3,7}:{(192,1),(248,1)}
       225:{2,4,7}:{(193,1),(194,1),(249,1),(251,1),(252,1),(288,1)}
       226:{1,5,7}:{(194,1),(195,1),(250,1),(252,1)}
       227:{1,3,5}:{(196,1),(197,1),(245,1),(253,1)}
       228:{1,2,4,5}:{(197,1),(198,1),(200,1),(246,1),(253,1),(254,1),(255,1),(286,1),(289,1),(306,1),(312,1)}
       229:{1,3,5}:{(198,1),(199,1),(201,1),(255,1)}
       230:{1,3,6}:{(200,1),(203,1),(248,1),(254,1),(256,1)}
       231:{2,4,6}:{(201,1),(202,1),(204,1),(255,1),(256,1),(257,1),(289,1)}
       232:{1,6}:{(202,1),(205,1)}
       233:{2,3,7}:{(203,1),(204,1),(256,1),(258,1),(288,1)}
       234:{1,4,7}:{(204,1),(205,1),(257,1),(258,1)}
       235:{1,3,6}:{(206,1),(207,1),(217,1),(259,1),(311,1)}
       236:{1,2,5}:{(207,1),(208,1),(218,1),(259,1),(275,1)}
       237:{1,4,5}:{(208,1),(209,1),(211,1),(261,1)}
       238:{3,5}:{(209,1),(212,1)}
       239:{1,2,4,6}:{(210,1),(211,1),(214,1),(221,1),(260,1),(262,1),(263,1),(271,1),(299,1)}
       240:{1,3,4,6}:{(211,1),(212,1),(213,1),(215,1),(261,1),(262,1),(263,1),(292,1)}
       241:{2,6}:{(213,1),(216,1),(264,1)}
       242:{1,3,7}:{(214,1),(224,1),(262,1),(265,1)}
       243:{2,4,7}:{(215,1),(216,1),(263,1),(265,1),(266,1)}
       244:{1,5,7}:{(216,1),(264,1),(266,1),(294,1)}
       245:{2,3,5}:{(217,1),(218,1),(227,1),(259,1),(267,1),(268,1)}
       246:{2,4,5}:{(218,1),(219,1),(221,1),(267,1),(268,1)}
       247:{1,3,4,5}:{(219,1),(220,1),(222,1),(229,1),(261,1),(268,1),(269,1),(273,1),(292,1),(298,1)}
       248:{3,6}:{(221,1),(224,1),(268,1)}
       249:{2,4,6}:{(222,1),(223,1),(225,1),(269,1),(270,1),(271,1),(299,1)}
       250:{1,5,6}:{(223,1),(226,1),(232,1),(264,1),(271,1),(275,1),(294,1)}
       251:{2,3,7}:{(224,1),(225,1),(270,1),(272,1)}
       252:{1,4,7}:{(225,1),(226,1),(271,1),(272,1)}
       253:{1,4}:{(227,1),(267,1)}
       254:{1,3,5}:{(228,1),(230,1),(268,1),(273,1),(274,1),(314,1)}
       255:{2,5}:{(229,1),(231,1),(275,1)}
       256:{2,3,6}:{(230,1),(231,1),(233,1),(274,1),(276,1),(299,1)}
       257:{1,4,6}:{(231,1),(232,1),(234,1),(275,1),(276,1),(300,1)}
       258:{1,3,7}:{(233,1),(234,1),(276,1),(277,1)}
       259:{1,3,5}:{(235,1),(236,1),(245,1),(278,1)}
       260:{1,2,4,5}:{(236,1),(237,1),(239,1),(246,1),(278,1),(279,1),(280,1),(286,1),(302,1),(306,1),(307,1)}
       261:{1,3,5}:{(237,1),(238,1),(240,1),(280,1)}
       262:{1,3,6}:{(239,1),(242,1),(248,1),(279,1),(281,1)}
       263:{2,4,6}:{(240,1),(241,1),(243,1),(280,1),(281,1),(282,1),(302,1)}
       264:{1,6}:{(241,1),(244,1)}
       265:{2,3,7}:{(242,1),(243,1),(281,1),(283,1),(288,1)}
       266:{1,4,7}:{(243,1),(244,1),(282,1),(283,1)}
       267:{2,4}:{(245,1),(253,1),(278,1),(284,1)}
       268:{3,5}:{(246,1),(248,1),(284,1)}
       269:{2,4,5}:{(247,1),(249,1),(255,1),(280,1),(285,1),(286,1),(289,1),(302,1),(306,1)}
       270:{2,3,6}:{(248,1),(249,1),(251,1),(285,1),(287,1)}
       271:{1,4,6}:{(249,1),(250,1),(252,1),(286,1),(287,1)}
       272:{1,3,7}:{(251,1),(252,1),(287,1),(288,1)}
       273:{1,3,4}:{(253,1),(254,1),(284,1),(289,1)}
       274:{2,3,5}:{(254,1),(255,1),(256,1),(289,1),(290,1),(306,1),(313,1)}
       275:{1,5}:{(255,1),(257,1)}
       276:{1,3,6}:{(256,1),(257,1),(258,1),(290,1),(291,1)}
       277:{1,2,7}:{(258,1),(288,1),(291,1)}
       278:{1,4}:{(259,1),(267,1)}
       279:{1,3,5}:{(260,1),(262,1),(268,1),(292,1),(293,1),(311,1)}
       280:{2,5}:{(261,1),(263,1),(294,1)}
       281:{2,3,6}:{(262,1),(263,1),(265,1),(293,1),(295,1),(299,1)}
       282:{1,4,6}:{(263,1),(264,1),(266,1),(294,1),(295,1),(308,1)}
       283:{1,3,7}:{(265,1),(266,1),(295,1),(296,1)}
       284:{3,4}:{(267,1),(268,1)}
       285:{2,3,5}:{(268,1),(269,1),(270,1),(297,1),(298,1)}
       286:{1,4,5}:{(269,1),(271,1),(275,1),(294,1),(298,1),(300,1),(308,1)}
       287:{1,3,6}:{(270,1),(271,1),(272,1),(298,1),(299,1)}
       288:{2,7}:{(272,1),(299,1)}
       289:{2,4}:{(273,1),(274,1),(300,1)}
       290:{1,3,5}:{(274,1),(275,1),(276,1),(300,1),(301,1),(311,1)}
       291:{1,2,6}:{(276,1),(277,1),(299,1),(301,1)}
       292:{1,3,4}:{(278,1),(279,1),(284,1),(302,1)}
       293:{2,3,5}:{(279,1),(280,1),(281,1),(302,1),(303,1),(306,1),(313,1)}
       294:{1,5}:{(280,1),(282,1)}
       295:{1,3,6}:{(281,1),(282,1),(283,1),(303,1),(304,1)}
       296:{1,2,7}:{(283,1),(288,1),(304,1)}
       297:{2,3,4}:{(284,1),(285,1),(289,1),(302,1),(305,1),(313,1)}
       298:{1,3,5}:{(285,1),(286,1),(287,1),(305,1),(306,1)}
       299:{2,6}:{(287,1),(288,1),(306,1)}
       300:{1,4}:{(289,1),(290,1)}
       301:{1,2,5}:{(290,1),(291,1),(306,1),(307,1)}
       302:{2,4}:{(292,1),(293,1),(308,1)}
       303:{1,3,5}:{(293,1),(294,1),(295,1),(308,1),(309,1),(314,1)}
       304:{1,2,6}:{(295,1),(296,1),(299,1),(309,1)}
       305:{1,3,4}:{(297,1),(298,1),(300,1),(308,1),(310,1),(311,1),(314,1)}
       306:{2,5}:{(298,1),(299,1),(310,1)}
       307:{1,2,4}:{(300,1),(301,1),(310,1),(311,1)}
       308:{1,4}:{(302,1),(303,1)}
       309:{1,2,5}:{(303,1),(304,1),(306,1),(312,1)}
       310:{2,4}:{(305,1),(306,1),(313,1)}
       311:{1,3}:{(307,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

2310 :   0:{1,2,3,5,6}:{(1,1),(2,1),(12,1),(50,1),(52,1),(54,1),(92,1),(194,1),(206,1),(307,1),(309,1),(404,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(27,1),(29,1),(87,1),(264,1),(359,1),(447,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1),(76,1),(139,1),(446,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(34,1),(40,1),(102,1),(104,1),(106,1),(117,1),(129,1),(230,1),(232,1),(340,1)}
         4:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(52,1),(193,1),(307,1)}
         5:{1,2,3,6,7}:{(1,1),(13,1),(52,1),(135,1),(194,1),(320,1),(349,1),(405,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(11,1),(123,1),(483,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(41,1),(309,1),(403,1)}
         8:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(62,1),(64,1),(153,1),(185,1),(288,1),(389,1)}
         9:{1,2,4,6}:{(3,1),(16,1),(18,1),(19,1),(73,1),(142,1),(388,1)}
        10:{2,3,4,6}:{(4,1),(23,1),(24,1),(25,1),(76,1),(86,1),(158,1),(274,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(24,1),(27,1),(359,1)}
        12:{1,3,5}:{(4,1),(7,1),(25,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(26,1),(29,1),(30,1),(179,1),(252,1),(397,1),(478,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(27,1),(29,1),(30,1),(75,1),(88,1)}
        15:{1,2,4,5,6}:{(7,1),(28,1),(30,1),(31,1),(69,1),(76,1),(164,1),(178,1),(180,1),(254,1),(362,1),(379,1),(446,1)}
        16:{1,3,4,6}:{(9,1),(32,1),(33,1),(34,1),(104,1),(116,1),(230,1)}
        17:{1,2,3,6,7}:{(8,1),(35,1),(104,1),(117,1),(212,1),(243,1),(341,1),(413,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(33,1),(200,1),(434,1)}
        19:{1,2,4,5}:{(9,1),(34,1),(93,1),(232,1),(339,1)}
        20:{1,3,4,5,6}:{(38,1),(39,1),(43,1),(95,1),(111,1),(124,1),(201,1),(331,1),(333,1),(424,1)}
        21:{1,3,4,5}:{(12,1),(41,1),(43,1),(403,1),(421,1)}
        22:{1,2,3,6}:{(40,1),(44,1),(45,1),(230,1)}
        23:{1,3,4,6}:{(10,1),(45,1),(46,1),(47,1),(116,1),(121,1),(131,1),(230,1)}
        24:{2,3,4,7}:{(10,1),(11,1),(46,1),(49,1),(123,1),(328,1)}
        25:{2,3,5}:{(10,1),(12,1),(41,1),(47,1)}
        26:{1,3,4,6,7}:{(11,1),(13,1),(48,1),(51,1),(52,1),(136,1),(305,1),(350,1),(405,1),(442,1),(444,1),(483,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(14,1),(49,1),(52,1)}
        28:{1,3,5,6}:{(12,1),(15,1),(43,1),(50,1),(52,1),(53,1),(307,1),(424,1)}
        29:{1,2,5,7}:{(13,1),(51,1),(54,1),(238,1),(309,1)}
        30:{1,2,4,6}:{(14,1),(52,1),(54,1),(122,1),(136,1)}
        31:{1,2,4,5,7}:{(15,1),(53,1),(55,1),(113,1),(123,1),(223,1),(238,1),(239,1),(311,1),(409,1),(425,1),(483,1)}
        32:{2,3,4,6}:{(16,1),(58,1),(59,1),(60,1),(142,1),(152,1),(158,1),(274,1)}
        33:{1,3,4,7}:{(16,1),(18,1),(59,1),(62,1),(288,1)}
        34:{1,3,5}:{(16,1),(19,1),(60,1)}
        35:{1,2,4,6,7}:{(17,1),(18,1),(61,1),(64,1),(65,1),(173,1),(258,1),(455,1),(516,1)}
        36:{1,2,4,5,7}:{(18,1),(19,1),(62,1),(64,1),(65,1),(141,1),(154,1)}
        37:{1,2,4,5,6}:{(19,1),(63,1),(65,1),(66,1),(69,1),(142,1),(164,1),(175,1),(257,1),(259,1),(291,1),(379,1),(388,1)}
        38:{2,4,5,6}:{(20,1),(68,1),(69,1),(70,1),(76,1),(142,1),(164,1),(178,1),(257,1)}
        39:{1,3,4,5,7}:{(20,1),(70,1),(71,1),(78,1),(144,1),(165,1),(181,1),(260,1),(382,1),(383,1),(465,1)}
        40:{1,2,3,5}:{(22,1),(73,1),(81,1),(171,1)}
        41:{2,4,5}:{(21,1),(25,1),(74,1),(76,1)}
        42:{1,3,4,5,7}:{(21,1),(27,1),(75,1),(77,1),(78,1),(88,1),(181,1),(189,1)}
        43:{1,3,4,6}:{(21,1),(28,1),(76,1),(78,1),(446,1),(462,1)}
        44:{1,2,3,7}:{(22,1),(80,1),(288,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(80,1),(81,1),(184,1)}
        46:{1,3,4,7}:{(23,1),(24,1),(80,1),(83,1),(177,1),(288,1)}
        47:{1,3,5}:{(23,1),(25,1),(74,1),(81,1)}
        48:{2,3,4,6,7}:{(24,1),(26,1),(82,1),(85,1),(86,1),(179,1),(190,1),(272,1),(297,1),(304,1),(378,1),(399,1),(402,1),(463,1)}
        49:{2,3,5,7}:{(24,1),(25,1),(27,1),(75,1),(83,1),(86,1)}
        50:{2,3,5,6}:{(25,1),(28,1),(76,1),(84,1),(86,1),(87,1),(164,1),(178,1),(274,1)}
        51:{1,3,5,7}:{(26,1),(29,1),(85,1),(88,1),(89,1),(357,1),(477,1)}
        52:{1,3,6}:{(27,1),(30,1),(86,1)}
        53:{1,3,5,7}:{(28,1),(31,1),(78,1),(87,1),(90,1),(359,1),(465,1)}
        54:{1,2,5,6}:{(29,1),(30,1),(89,1),(178,1),(478,1)}
        55:{1,2,4,6,7}:{(30,1),(31,1),(90,1),(91,1),(167,1),(179,1),(192,1),(281,1),(384,1)}
        56:{1,3,4,5}:{(34,1),(93,1),(95,1),(339,1),(421,1)}
        57:{1,2,3,6}:{(92,1),(96,1),(97,1),(307,1)}
        58:{1,3,4,6}:{(32,1),(97,1),(98,1),(99,1),(193,1),(198,1),(208,1),(307,1)}
        59:{2,3,4,7}:{(32,1),(33,1),(98,1),(101,1),(200,1),(328,1)}
        60:{2,3,5}:{(32,1),(34,1),(93,1),(99,1)}
        61:{1,3,4,6,7}:{(33,1),(35,1),(100,1),(103,1),(104,1),(213,1),(228,1),(341,1),(414,1),(434,1),(491,1),(493,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(36,1),(101,1),(104,1)}
        63:{1,3,5,6}:{(34,1),(37,1),(95,1),(102,1),(104,1),(105,1),(230,1),(424,1)}
        64:{1,2,5,7}:{(35,1),(103,1),(106,1),(232,1),(315,1)}
        65:{1,2,4,6}:{(36,1),(104,1),(106,1),(199,1),(213,1)}
        66:{1,2,4,5,7}:{(37,1),(105,1),(107,1),(113,1),(200,1),(223,1),(234,1),(315,1),(316,1),(345,1),(425,1),(434,1)}
        67:{2,3,4,5}:{(41,1),(93,1),(108,1),(110,1),(216,1),(421,1)}
        68:{2,3,5,6}:{(38,1),(110,1),(111,1),(112,1),(424,1)}
        69:{1,4,5,6}:{(38,1),(111,1),(113,1),(121,1),(198,1),(235,1),(312,1)}
        70:{2,4,5,7}:{(38,1),(39,1),(112,1),(113,1),(114,1),(123,1),(200,1),(223,1),(238,1),(315,1)}
        71:{1,3,4,6,7}:{(39,1),(114,1),(115,1),(224,1),(336,1),(337,1),(428,1)}
        72:{1,2,3,5,7}:{(40,1),(44,1),(117,1),(118,1),(128,1),(229,1),(232,1),(413,1),(480,1),(490,1)}
        73:{1,2,4}:{(40,1),(116,1)}
        74:{1,4,5}:{(41,1),(47,1),(121,1)}
        75:{2,4,5,7}:{(41,1),(42,1),(49,1),(120,1),(122,1),(123,1),(238,1)}
        76:{2,4,6}:{(41,1),(43,1),(50,1),(121,1),(123,1)}
        77:{1,3,4,6}:{(42,1),(52,1),(122,1),(124,1),(136,1),(247,1)}
        78:{1,3,4,7}:{(43,1),(53,1),(123,1),(483,1),(496,1)}
        79:{1,2,3,6,7}:{(44,1),(117,1),(126,1),(127,1),(341,1),(352,1),(443,1),(535,1)}
        80:{1,2,4,7}:{(44,1),(45,1),(46,1),(128,1)}
        81:{1,2,5}:{(45,1),(47,1)}
        82:{1,3,4,6,7}:{(46,1),(48,1),(127,1),(130,1),(131,1),(228,1),(236,1),(240,1),(245,1),(341,1),(352,1),(434,1)}
        83:{1,3,5,7}:{(46,1),(47,1),(49,1),(120,1),(128,1),(131,1)}
        84:{1,3,5,6}:{(47,1),(50,1),(121,1),(129,1),(131,1),(132,1),(230,1),(235,1)}
        85:{2,3,5,7}:{(48,1),(51,1),(130,1),(133,1),(134,1),(238,1),(326,1),(348,1),(440,1)}
        86:{2,3,6}:{(49,1),(52,1),(122,1),(131,1)}
        87:{2,3,5,7}:{(50,1),(53,1),(123,1),(132,1),(135,1),(223,1),(238,1),(328,1)}
        88:{1,4,5,7}:{(51,1),(133,1),(136,1),(403,1),(483,1)}
        89:{1,3,5,6}:{(51,1),(52,1),(54,1),(134,1),(136,1),(439,1),(442,1)}
        90:{1,3,6,7}:{(52,1),(53,1),(55,1),(135,1),(428,1)}
        91:{1,2,5,6,7}:{(54,1),(55,1),(137,1),(226,1),(238,1),(335,1),(409,1),(507,1)}
        92:{1,2,3,5}:{(57,1),(139,1),(147,1),(250,1)}
        93:{2,4,5}:{(56,1),(60,1),(140,1),(142,1)}
        94:{1,3,4,5,7}:{(56,1),(62,1),(141,1),(143,1),(144,1),(154,1),(260,1),(268,1)}
        95:{1,3,4,6}:{(56,1),(63,1),(142,1),(144,1),(388,1),(462,1)}
        96:{1,2,3,7}:{(57,1),(146,1),(359,1)}
        97:{1,2,4,6}:{(57,1),(58,1),(139,1),(146,1),(147,1),(263,1)}
        98:{1,3,4,7}:{(58,1),(59,1),(146,1),(149,1),(256,1),(359,1)}
        99:{1,3,5}:{(58,1),(60,1),(140,1),(147,1)}
       100:{2,3,4,6,7}:{(59,1),(61,1),(148,1),(151,1),(152,1),(258,1),(269,1),(272,1),(368,1),(375,1),(378,1),(457,1),(460,1),(463,1)}
       101:{2,3,5,7}:{(59,1),(60,1),(62,1),(141,1),(149,1),(152,1)}
       102:{2,3,5,6}:{(60,1),(63,1),(142,1),(150,1),(152,1),(153,1),(164,1),(257,1),(274,1)}
       103:{1,3,5,7}:{(61,1),(64,1),(151,1),(154,1),(155,1),(286,1),(515,1)}
       104:{1,3,6}:{(62,1),(65,1),(152,1)}
       105:{1,3,5,7}:{(63,1),(66,1),(144,1),(153,1),(156,1),(288,1),(465,1)}
       106:{1,2,5,6}:{(64,1),(65,1),(155,1),(257,1),(516,1)}
       107:{1,2,4,6,7}:{(65,1),(66,1),(156,1),(157,1),(167,1),(258,1),(271,1),(281,1),(384,1)}
       108:{1,3,4,5}:{(67,1),(74,1),(140,1),(159,1),(161,1),(171,1),(250,1)}
       109:{2,3,4,5,7}:{(67,1),(75,1),(141,1),(160,1),(162,1),(163,1),(189,1),(268,1),(273,1),(280,1),(301,1),(372,1),(376,1),(461,1),(463,1),(521,1)}
       110:{2,3,4,6}:{(67,1),(68,1),(76,1),(142,1),(161,1),(163,1),(274,1),(462,1)}
       111:{1,3,5,6}:{(68,1),(69,1),(161,1),(164,1),(165,1)}
       112:{2,3,5,7}:{(68,1),(70,1),(163,1),(165,1),(166,1),(465,1)}
       113:{1,4,5,7}:{(69,1),(70,1),(165,1),(167,1),(177,1),(256,1),(294,1),(365,1)}
       114:{2,4,6,7}:{(70,1),(71,1),(166,1),(167,1),(168,1),(281,1)}
       115:{1,3,5,6,7}:{(71,1),(168,1),(169,1),(181,1),(260,1),(285,1)}
       116:{1,3,4}:{(73,1),(158,1),(171,1)}
       117:{1,2,3,6}:{(72,1),(173,1),(184,1),(287,1),(516,1)}
       118:{1,2,4,7}:{(72,1),(73,1),(170,1),(173,1),(508,1)}
       119:{1,2,4,5}:{(73,1),(74,1),(81,1),(159,1),(171,1),(175,1)}
       120:{1,4,5,7}:{(74,1),(75,1),(83,1),(176,1),(177,1),(294,1)}
       121:{1,4,6}:{(74,1),(76,1),(84,1),(177,1)}
       122:{2,4,6}:{(75,1),(77,1),(86,1),(176,1),(178,1)}
       123:{2,4,7}:{(76,1),(78,1),(87,1),(177,1)}
       124:{1,3,5,6}:{(77,1),(178,1),(180,1),(181,1),(295,1)}
       125:{1,3,4,6,7}:{(77,1),(78,1),(90,1),(179,1),(181,1),(192,1),(304,1)}
       126:{1,2,3,5,7}:{(79,1),(172,1),(182,1),(183,1),(298,1),(389,1),(476,1),(545,1),(552,1)}
       127:{1,2,4,6,7}:{(79,1),(80,1),(82,1),(173,1),(182,1),(183,1),(184,1),(299,1),(402,1)}
       128:{1,2,5,7}:{(80,1),(81,1),(83,1),(184,1)}
       129:{1,2,5,6}:{(81,1),(84,1),(164,1),(175,1),(184,1),(185,1)}
       130:{1,3,5,7}:{(82,1),(85,1),(183,1),(186,1),(187,1),(286,1),(294,1)}
       131:{1,3,6}:{(83,1),(86,1),(176,1),(184,1)}
       132:{1,3,5,7}:{(84,1),(87,1),(177,1),(185,1),(188,1),(288,1),(294,1)}
       133:{2,4,5,7}:{(85,1),(88,1),(186,1),(189,1),(190,1),(376,1),(463,1)}
       134:{2,3,5,6}:{(85,1),(86,1),(89,1),(178,1),(187,1),(190,1),(295,1),(395,1),(399,1)}
       135:{2,3,6,7}:{(86,1),(87,1),(90,1),(179,1),(188,1),(281,1)}
       136:{1,4,6}:{(88,1),(89,1),(190,1)}
       137:{1,3,5,6,7}:{(89,1),(90,1),(91,1),(181,1),(191,1),(192,1),(447,1),(477,1),(479,1)}
       138:{1,2,3,5,7}:{(92,1),(96,1),(194,1),(195,1),(205,1),(306,1),(309,1),(349,1),(431,1),(441,1)}
       139:{1,2,4}:{(92,1),(193,1)}
       140:{1,4,5}:{(93,1),(99,1),(198,1)}
       141:{2,4,5,7}:{(93,1),(94,1),(101,1),(197,1),(199,1),(200,1),(315,1)}
       142:{2,4,6}:{(93,1),(95,1),(102,1),(198,1),(200,1)}
       143:{1,3,4,6}:{(94,1),(104,1),(199,1),(201,1),(213,1),(324,1)}
       144:{1,3,4,7}:{(95,1),(105,1),(200,1),(434,1),(496,1)}
       145:{1,2,3,6,7}:{(96,1),(194,1),(203,1),(204,1),(405,1),(416,1),(492,1),(507,1)}
       146:{1,2,4,7}:{(96,1),(97,1),(98,1),(205,1)}
       147:{1,2,5}:{(97,1),(99,1)}
       148:{1,3,4,6,7}:{(98,1),(100,1),(204,1),(207,1),(208,1),(305,1),(313,1),(317,1),(322,1),(405,1),(416,1),(483,1)}
       149:{1,3,5,7}:{(98,1),(99,1),(101,1),(197,1),(205,1),(208,1)}
       150:{1,3,5,6}:{(99,1),(102,1),(198,1),(206,1),(208,1),(209,1),(307,1),(312,1)}
       151:{2,3,5,7}:{(100,1),(103,1),(207,1),(210,1),(211,1),(315,1),(326,1),(412,1),(489,1)}
       152:{2,3,6}:{(101,1),(104,1),(199,1),(208,1)}
       153:{2,3,5,7}:{(102,1),(105,1),(200,1),(209,1),(212,1),(223,1),(315,1),(328,1)}
       154:{1,4,5,7}:{(103,1),(210,1),(213,1),(339,1),(434,1)}
       155:{1,3,5,6}:{(103,1),(104,1),(106,1),(211,1),(213,1),(488,1),(491,1)}
       156:{1,3,6,7}:{(104,1),(105,1),(107,1),(212,1),(428,1)}
       157:{1,2,5,6,7}:{(106,1),(107,1),(214,1),(226,1),(315,1),(335,1),(345,1),(535,1)}
       158:{2,3,4}:{(116,1),(193,1),(216,1)}
       159:{2,4,5}:{(108,1),(216,1),(218,1)}
       160:{1,3,4,5,7}:{(108,1),(109,1),(120,1),(197,1),(217,1),(219,1),(220,1),(229,1),(306,1),(332,1),(339,1),(354,1),(403,1),(418,1),(421,1),(434,1),(483,1),(494,1),(496,1),(538,1)}
       161:{1,3,4,6}:{(108,1),(110,1),(111,1),(121,1),(198,1),(218,1),(220,1),(230,1),(307,1)}
       162:{2,3,4,6}:{(109,1),(122,1),(199,1),(219,1),(221,1),(247,1),(324,1),(327,1),(355,1),(419,1),(422,1)}
       163:{2,3,4,7}:{(110,1),(112,1),(123,1),(200,1),(220,1),(328,1),(496,1)}
       164:{2,5,6}:{(111,1),(218,1),(223,1)}
       165:{1,3,5,7}:{(111,1),(112,1),(113,1),(220,1),(223,1),(224,1)}
       166:{2,3,6,7}:{(112,1),(114,1),(224,1),(428,1)}
       167:{1,4,6,7}:{(113,1),(114,1),(224,1),(226,1)}
       168:{2,5,6,7}:{(114,1),(115,1),(226,1),(238,1),(315,1)}
       169:{1,4,5,6,7}:{(115,1),(227,1),(239,1),(316,1),(336,1),(430,1)}
       170:{1,3,4,7}:{(116,1),(118,1),(215,1),(228,1),(229,1),(434,1),(529,1)}
       171:{1,3,5}:{(116,1),(119,1),(216,1),(230,1)}
       172:{1,2,3,5,6}:{(117,1),(126,1),(231,1),(232,1),(242,1),(340,1),(343,1),(352,1),(437,1),(480,1),(533,1),(549,1)}
       173:{1,2,4,6}:{(117,1),(118,1),(228,1),(232,1)}
       174:{1,2,4,5,7}:{(118,1),(119,1),(120,1),(128,1),(217,1),(229,1),(232,1),(233,1),(234,1),(339,1),(345,1),(418,1),(434,1),(490,1),(530,1),(550,1)}
       175:{1,2,4,6}:{(119,1),(121,1),(129,1),(218,1),(230,1),(234,1)}
       176:{1,4,6}:{(120,1),(122,1),(131,1),(235,1)}
       177:{1,4,7}:{(121,1),(123,1),(132,1)}
       178:{2,5,6}:{(122,1),(124,1),(235,1),(238,1)}
       179:{2,4,6,7}:{(122,1),(123,1),(125,1),(135,1),(236,1),(238,1)}
       180:{1,4,5,6}:{(124,1),(136,1),(237,1),(239,1),(439,1)}
       181:{1,3,5,7}:{(124,1),(125,1),(238,1),(239,1),(348,1)}
       182:{1,2,4,7}:{(126,1),(231,1),(240,1),(434,1),(504,1)}
       183:{1,2,5,7}:{(127,1),(130,1),(232,1),(242,1),(440,1)}
       184:{1,2,6}:{(128,1),(131,1)}
       185:{1,2,5,7}:{(129,1),(132,1),(223,1),(234,1),(243,1)}
       186:{1,4,5,7}:{(130,1),(133,1),(245,1),(339,1),(434,1)}
       187:{1,3,5,6}:{(130,1),(131,1),(134,1),(235,1),(242,1),(245,1),(352,1)}
       188:{1,3,6,7}:{(131,1),(132,1),(135,1),(236,1),(243,1)}
       189:{3,4,5,7}:{(133,1),(247,1),(348,1),(421,1),(496,1)}
       190:{2,4,6}:{(133,1),(134,1),(136,1),(245,1),(247,1)}
       191:{2,3,5,6,7}:{(134,1),(135,1),(137,1),(238,1),(246,1),(248,1),(335,1),(348,1),(423,1),(428,1),(440,1),(443,1)}
       192:{1,4,6,7}:{(136,1),(137,1),(239,1),(248,1),(483,1)}
       193:{1,3,4}:{(139,1),(158,1),(250,1)}
       194:{1,2,3,6}:{(138,1),(252,1),(263,1),(358,1),(478,1)}
       195:{1,2,4,7}:{(138,1),(139,1),(249,1),(252,1),(470,1)}
       196:{1,2,4,5}:{(139,1),(140,1),(147,1),(159,1),(250,1),(254,1)}
       197:{1,4,5,7}:{(140,1),(141,1),(149,1),(255,1),(256,1),(365,1)}
       198:{1,4,6}:{(140,1),(142,1),(150,1),(256,1)}
       199:{2,4,6}:{(141,1),(143,1),(152,1),(255,1),(257,1)}
       200:{2,4,7}:{(142,1),(144,1),(153,1),(256,1)}
       201:{1,3,5,6}:{(143,1),(257,1),(259,1),(260,1),(366,1)}
       202:{1,3,4,6,7}:{(143,1),(144,1),(156,1),(258,1),(260,1),(271,1),(375,1)}
       203:{1,2,3,5,7}:{(145,1),(251,1),(261,1),(262,1),(369,1),(447,1),(514,1),(528,1),(548,1)}
       204:{1,2,4,6,7}:{(145,1),(146,1),(148,1),(252,1),(261,1),(262,1),(263,1),(370,1),(460,1)}
       205:{1,2,5,7}:{(146,1),(147,1),(149,1),(263,1)}
       206:{1,2,5,6}:{(147,1),(150,1),(164,1),(254,1),(263,1),(264,1)}
       207:{1,3,5,7}:{(148,1),(151,1),(262,1),(265,1),(266,1),(357,1),(365,1)}
       208:{1,3,6}:{(149,1),(152,1),(255,1),(263,1)}
       209:{1,3,5,7}:{(150,1),(153,1),(256,1),(264,1),(267,1),(359,1),(365,1)}
       210:{2,4,5,7}:{(151,1),(154,1),(265,1),(268,1),(269,1),(376,1),(463,1)}
       211:{2,3,5,6}:{(151,1),(152,1),(155,1),(257,1),(266,1),(269,1),(366,1),(453,1),(457,1)}
       212:{2,3,6,7}:{(152,1),(153,1),(156,1),(258,1),(267,1),(281,1)}
       213:{1,4,6}:{(154,1),(155,1),(269,1)}
       214:{1,3,5,6,7}:{(155,1),(156,1),(157,1),(260,1),(270,1),(271,1),(389,1),(515,1),(517,1)}
       215:{2,3,4,7}:{(158,1),(170,1),(249,1),(272,1),(273,1),(463,1),(518,1)}
       216:{2,3,5}:{(158,1),(159,1),(171,1),(250,1),(274,1)}
       217:{2,4,5,7}:{(159,1),(160,1),(273,1),(275,1),(276,1),(376,1),(380,1),(463,1),(519,1),(547,1)}
       218:{2,4,6}:{(159,1),(161,1),(164,1),(274,1),(276,1)}
       219:{1,3,4,6}:{(160,1),(162,1),(176,1),(255,1),(275,1),(277,1),(287,1),(358,1),(388,1),(401,1),(446,1),(459,1),(462,1)}
       220:{1,3,4,7}:{(161,1),(163,1),(165,1),(177,1),(256,1),(276,1),(288,1),(359,1)}
       221:{2,3,5,6}:{(162,1),(178,1),(257,1),(277,1),(279,1),(280,1),(295,1),(366,1),(395,1),(453,1)}
       222:{2,3,4,6,7}:{(162,1),(163,1),(166,1),(179,1),(258,1),(278,1),(280,1),(283,1),(304,1),(375,1),(378,1),(402,1),(460,1),(463,1),(468,1),(521,1)}
       223:{2,5,7}:{(164,1),(165,1),(276,1),(281,1)}
       224:{1,3,6,7}:{(165,1),(166,1),(167,1),(281,1)}
       225:{2,3,5,6,7}:{(166,1),(168,1),(280,1),(282,1),(283,1),(285,1),(386,1),(468,1)}
       226:{1,5,6,7}:{(167,1),(168,1),(294,1),(365,1)}
       227:{2,4,5,6,7}:{(168,1),(169,1),(283,1),(284,1),(285,1),(296,1),(367,1),(384,1),(386,1)}
       228:{1,3,4,6}:{(170,1),(173,1),(272,1),(286,1),(287,1),(388,1)}
       229:{1,3,5,7}:{(170,1),(171,1),(174,1),(273,1),(286,1),(287,1),(288,1),(542,1),(552,1)}
       230:{1,3,6}:{(171,1),(175,1),(274,1),(288,1)}
       231:{1,2,4,6}:{(172,1),(182,1),(289,1),(290,1),(388,1),(472,1),(508,1)}
       232:{1,2,5}:{(173,1),(286,1)}
       233:{1,2,4,6}:{(174,1),(176,1),(184,1),(275,1),(287,1),(291,1),(388,1),(459,1),(516,1)}
       234:{1,2,4,7}:{(175,1),(177,1),(185,1),(276,1),(288,1)}
       235:{1,5,6}:{(176,1),(178,1),(294,1)}
       236:{1,4,6,7}:{(176,1),(177,1),(179,1),(188,1),(294,1)}
       237:{2,4,5,6}:{(178,1),(180,1),(190,1),(293,1),(295,1),(296,1),(395,1)}
       238:{2,5,7}:{(178,1),(179,1),(181,1),(294,1)}
       239:{1,4,5,7}:{(180,1),(181,1),(192,1),(296,1),(477,1)}
       240:{1,3,4,7}:{(182,1),(289,1),(297,1),(298,1),(552,1)}
       241:{1,2,4,5,7}:{(182,1),(183,1),(186,1),(290,1),(298,1),(299,1),(301,1)}
       242:{1,2,5,6}:{(183,1),(184,1),(187,1),(299,1),(395,1)}
       243:{1,2,6,7}:{(184,1),(185,1),(188,1),(281,1)}
       244:{1,3,4,5,7}:{(186,1),(189,1),(298,1),(301,1),(302,1),(387,1),(396,1),(473,1)}
       245:{1,4,6}:{(186,1),(187,1),(190,1)}
       246:{1,3,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(300,1),(303,1),(389,1),(396,1),(400,1)}
       247:{3,4,6}:{(189,1),(190,1),(295,1)}
       248:{2,4,6,7}:{(190,1),(191,1),(192,1),(296,1),(303,1),(304,1),(463,1)}
       249:{1,3,4,7}:{(193,1),(195,1),(215,1),(305,1),(306,1),(483,1),(501,1)}
       250:{1,3,5}:{(193,1),(196,1),(216,1),(307,1)}
       251:{1,2,3,5,6}:{(194,1),(203,1),(308,1),(309,1),(319,1),(404,1),(407,1),(416,1),(431,1),(486,1),(505,1),(540,1)}
       252:{1,2,4,6}:{(194,1),(195,1),(305,1),(309,1)}
       253:{1,2,4,5,7}:{(195,1),(196,1),(197,1),(205,1),(217,1),(306,1),(309,1),(310,1),(311,1),(354,1),(403,1),(409,1),(441,1),(483,1),(502,1),(541,1)}
       254:{1,2,4,6}:{(196,1),(198,1),(206,1),(218,1),(307,1),(311,1)}
       255:{1,4,6}:{(197,1),(199,1),(208,1),(312,1)}
       256:{1,4,7}:{(198,1),(200,1),(209,1)}
       257:{2,5,6}:{(199,1),(201,1),(312,1),(315,1)}
       258:{2,4,6,7}:{(199,1),(200,1),(202,1),(212,1),(313,1),(315,1)}
       259:{1,4,5,6}:{(201,1),(213,1),(314,1),(316,1),(488,1)}
       260:{1,3,5,7}:{(201,1),(202,1),(315,1),(316,1),(412,1)}
       261:{1,2,4,7}:{(203,1),(308,1),(317,1),(483,1),(532,1)}
       262:{1,2,5,7}:{(204,1),(207,1),(309,1),(319,1),(489,1)}
       263:{1,2,6}:{(205,1),(208,1)}
       264:{1,2,5,7}:{(206,1),(209,1),(223,1),(311,1),(320,1)}
       265:{1,4,5,7}:{(207,1),(210,1),(322,1),(403,1),(483,1)}
       266:{1,3,5,6}:{(207,1),(208,1),(211,1),(312,1),(319,1),(322,1),(416,1)}
       267:{1,3,6,7}:{(208,1),(209,1),(212,1),(313,1),(320,1)}
       268:{3,4,5,7}:{(210,1),(324,1),(412,1),(421,1),(496,1)}
       269:{2,4,6}:{(210,1),(211,1),(213,1),(322,1),(324,1)}
       270:{2,3,5,6,7}:{(211,1),(212,1),(214,1),(315,1),(323,1),(325,1),(335,1),(412,1),(423,1),(428,1),(489,1),(492,1)}
       271:{1,4,6,7}:{(213,1),(214,1),(316,1),(325,1),(434,1)}
       272:{2,3,4,6}:{(215,1),(228,1),(305,1),(326,1),(327,1),(422,1)}
       273:{2,3,5,7}:{(215,1),(216,1),(217,1),(229,1),(306,1),(326,1),(327,1),(328,1),(536,1),(551,1)}
       274:{2,3,6}:{(216,1),(218,1),(230,1),(307,1),(328,1)}
       275:{2,4,6}:{(217,1),(219,1),(327,1),(329,1)}
       276:{2,4,7}:{(218,1),(220,1),(223,1),(328,1)}
       277:{1,3,5,6}:{(219,1),(221,1),(235,1),(312,1),(329,1),(331,1),(332,1),(424,1),(439,1),(488,1)}
       278:{1,3,4,6,7}:{(219,1),(220,1),(222,1),(224,1),(236,1),(313,1),(330,1),(332,1),(336,1),(341,1),(405,1),(428,1),(434,1),(444,1),(483,1),(493,1),(496,1),(500,1),(538,1)}
       279:{2,4,5,6}:{(221,1),(331,1),(333,1),(334,1),(422,1)}
       280:{2,3,5,7}:{(221,1),(222,1),(238,1),(315,1),(332,1),(334,1),(348,1),(412,1),(440,1),(489,1)}
       281:{2,6,7}:{(223,1),(224,1)}
       282:{1,3,5,6,7}:{(224,1),(225,1),(226,1),(332,1),(335,1),(336,1),(428,1),(430,1),(500,1)}
       283:{2,4,6,7}:{(225,1),(334,1),(336,1),(337,1)}
       284:{1,4,5,6,7}:{(226,1),(227,1),(336,1),(338,1),(347,1),(411,1)}
       285:{3,5,6,7}:{(227,1),(337,1),(348,1),(412,1),(428,1)}
       286:{1,3,5}:{(228,1),(232,1),(326,1),(339,1)}
       287:{1,3,6}:{(229,1),(233,1),(327,1)}
       288:{1,3,7}:{(230,1),(234,1),(328,1)}
       289:{1,3,4,6}:{(231,1),(240,1),(342,1),(343,1),(352,1),(529,1),(549,1)}
       290:{1,2,4,5}:{(231,1),(232,1),(339,1),(343,1),(432,1)}
       291:{1,2,5,6}:{(232,1),(233,1),(235,1),(329,1),(340,1),(345,1),(488,1)}
       292:{1,2,4,6,7}:{(233,1),(234,1),(236,1),(243,1),(330,1),(341,1),(345,1),(434,1),(493,1),(535,1),(550,1)}
       293:{1,4,5,6}:{(235,1),(237,1),(245,1),(346,1),(347,1)}
       294:{1,5,7}:{(235,1),(236,1),(238,1)}
       295:{3,5,6}:{(237,1),(247,1),(348,1)}
       296:{2,4,5,7}:{(237,1),(238,1),(239,1),(248,1),(347,1),(348,1),(440,1)}
       297:{2,3,4,7}:{(240,1),(342,1),(350,1),(351,1),(504,1),(551,1)}
       298:{1,3,5,7}:{(240,1),(241,1),(343,1),(351,1),(352,1)}
       299:{1,2,4,6}:{(241,1),(242,1),(245,1),(352,1),(355,1)}
       300:{1,2,5,6,7}:{(242,1),(243,1),(246,1),(335,1),(345,1),(353,1),(430,1),(440,1)}
       301:{2,4,5,7}:{(244,1),(351,1),(354,1),(355,1),(432,1),(440,1),(504,1)}
       302:{1,3,4,6}:{(244,1),(245,1),(247,1),(346,1),(352,1),(355,1)}
       303:{1,4,6,7}:{(245,1),(246,1),(248,1),(347,1),(434,1)}
       304:{3,4,6,7}:{(247,1),(248,1),(348,1),(428,1),(496,1)}
       305:{1,3,4,6}:{(249,1),(252,1),(272,1),(357,1),(358,1),(446,1)}
       306:{1,3,5,7}:{(249,1),(250,1),(253,1),(273,1),(357,1),(358,1),(359,1),(525,1),(548,1)}
       307:{1,3,6}:{(250,1),(254,1),(274,1),(359,1)}
       308:{1,2,4,6}:{(251,1),(261,1),(360,1),(361,1),(446,1),(470,1),(510,1)}
       309:{1,2,5}:{(252,1),(357,1)}
       310:{1,2,4,6}:{(253,1),(255,1),(263,1),(275,1),(358,1),(362,1),(401,1),(446,1),(478,1)}
       311:{1,2,4,7}:{(254,1),(256,1),(264,1),(276,1),(359,1)}
       312:{1,5,6}:{(255,1),(257,1),(365,1)}
       313:{1,4,6,7}:{(255,1),(256,1),(258,1),(267,1),(365,1)}
       314:{2,4,5,6}:{(257,1),(259,1),(269,1),(364,1),(366,1),(367,1),(453,1)}
       315:{2,5,7}:{(257,1),(258,1),(260,1),(365,1)}
       316:{1,4,5,7}:{(259,1),(260,1),(271,1),(367,1),(515,1)}
       317:{1,3,4,7}:{(261,1),(360,1),(368,1),(369,1),(548,1)}
       318:{1,2,4,5,7}:{(261,1),(262,1),(265,1),(361,1),(369,1),(370,1),(372,1)}
       319:{1,2,5,6}:{(262,1),(263,1),(266,1),(370,1),(453,1)}
       320:{1,2,6,7}:{(263,1),(264,1),(267,1),(281,1)}
       321:{1,3,4,5,7}:{(265,1),(268,1),(369,1),(372,1),(373,1),(445,1),(454,1),(511,1)}
       322:{1,4,6}:{(265,1),(266,1),(269,1)}
       323:{1,3,5,6,7}:{(266,1),(267,1),(270,1),(365,1),(371,1),(374,1),(447,1),(454,1),(458,1)}
       324:{3,4,6}:{(268,1),(269,1),(366,1)}
       325:{2,4,6,7}:{(269,1),(270,1),(271,1),(367,1),(374,1),(375,1),(463,1)}
       326:{2,3,5}:{(272,1),(286,1),(357,1),(376,1)}
       327:{2,3,6}:{(273,1),(275,1),(287,1),(358,1)}
       328:{2,3,7}:{(274,1),(276,1),(288,1),(359,1)}
       329:{2,5,6}:{(275,1),(277,1),(380,1)}
       330:{2,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(378,1),(380,1),(463,1),(524,1),(547,1)}
       331:{1,4,5,6}:{(277,1),(279,1),(379,1),(382,1),(388,1),(446,1)}
       332:{1,3,5,7}:{(277,1),(278,1),(280,1),(294,1),(365,1),(380,1),(382,1),(465,1),(477,1),(515,1)}
       333:{3,4,5,6}:{(279,1),(295,1),(366,1),(383,1),(462,1)}
       334:{2,4,5,7}:{(279,1),(280,1),(283,1),(382,1),(383,1),(463,1)}
       335:{2,5,6,7}:{(281,1),(282,1),(380,1),(384,1),(524,1)}
       336:{1,4,6,7}:{(282,1),(283,1),(382,1),(384,1)}
       337:{3,4,6,7}:{(283,1),(285,1),(383,1)}
       338:{1,3,5,6,7}:{(284,1),(285,1),(385,1),(386,1),(396,1),(454,1)}
       339:{1,4,5}:{(286,1),(376,1),(388,1)}
       340:{1,3,5,6}:{(286,1),(287,1),(291,1),(377,1),(388,1),(389,1)}
       341:{1,3,6,7}:{(287,1),(288,1),(292,1),(378,1),(389,1),(552,1)}
       342:{2,3,4,6}:{(289,1),(297,1),(391,1),(392,1),(399,1),(472,1),(518,1),(546,1)}
       343:{1,3,5}:{(289,1),(290,1),(392,1)}
       344:{1,2,4,5,6}:{(290,1),(291,1),(293,1),(299,1),(379,1),(388,1),(393,1),(394,1),(395,1),(466,1),(472,1),(522,1),(543,1)}
       345:{1,2,5,7}:{(291,1),(292,1),(294,1),(380,1),(389,1),(515,1)}
       346:{1,3,5,6}:{(293,1),(295,1),(302,1),(395,1),(396,1)}
       347:{1,4,5,7}:{(293,1),(294,1),(296,1),(303,1),(396,1)}
       348:{3,5,7}:{(295,1),(296,1),(304,1)}
       349:{1,2,3,7}:{(390,1),(397,1),(548,1)}
       350:{1,3,4,7}:{(297,1),(391,1),(397,1),(398,1),(527,1),(548,1)}
       351:{2,3,5,7}:{(297,1),(298,1),(301,1),(392,1),(398,1),(399,1)}
       352:{1,3,6}:{(298,1),(299,1),(399,1)}
       353:{1,2,4,6,7}:{(299,1),(300,1),(303,1),(384,1),(394,1),(400,1),(402,1),(469,1),(524,1)}
       354:{1,4,5,7}:{(301,1),(398,1),(401,1),(471,1),(477,1),(527,1)}
       355:{2,4,6}:{(301,1),(302,1),(395,1),(399,1),(401,1)}
       356:{1,3,4,6,7}:{(302,1),(303,1),(304,1),(396,1),(400,1),(402,1),(473,1)}
       357:{1,3,5}:{(305,1),(309,1),(326,1),(403,1)}
       358:{1,3,6}:{(306,1),(310,1),(327,1)}
       359:{1,3,7}:{(307,1),(311,1),(328,1)}
       360:{1,3,4,6}:{(308,1),(317,1),(406,1),(407,1),(416,1),(501,1),(540,1)}
       361:{1,2,4,5}:{(308,1),(309,1),(403,1),(407,1),(481,1)}
       362:{1,2,5,6}:{(309,1),(310,1),(312,1),(329,1),(404,1),(409,1),(439,1)}
       363:{1,2,4,6,7}:{(310,1),(311,1),(313,1),(320,1),(330,1),(405,1),(409,1),(444,1),(483,1),(507,1),(541,1)}
       364:{1,4,5,6}:{(312,1),(314,1),(322,1),(410,1),(411,1)}
       365:{1,5,7}:{(312,1),(313,1),(315,1)}
       366:{3,5,6}:{(314,1),(324,1),(412,1)}
       367:{2,4,5,7}:{(314,1),(315,1),(316,1),(325,1),(411,1),(412,1),(489,1)}
       368:{2,3,4,7}:{(317,1),(406,1),(414,1),(415,1),(532,1),(551,1)}
       369:{1,3,5,7}:{(317,1),(318,1),(407,1),(415,1),(416,1)}
       370:{1,2,4,6}:{(318,1),(319,1),(322,1),(416,1),(419,1)}
       371:{1,2,5,6,7}:{(319,1),(320,1),(323,1),(335,1),(409,1),(417,1),(430,1),(489,1)}
       372:{2,4,5,7}:{(321,1),(415,1),(418,1),(419,1),(481,1),(489,1),(532,1)}
       373:{1,3,4,6}:{(321,1),(322,1),(324,1),(410,1),(416,1),(419,1)}
       374:{1,4,6,7}:{(322,1),(323,1),(325,1),(411,1),(483,1)}
       375:{3,4,6,7}:{(324,1),(325,1),(412,1),(428,1),(496,1)}
       376:{2,4,5}:{(326,1),(339,1),(403,1),(421,1),(422,1)}
       377:{2,3,5,6}:{(326,1),(327,1),(329,1),(340,1),(404,1),(422,1),(423,1),(424,1)}
       378:{2,3,6,7}:{(327,1),(328,1),(330,1),(341,1),(405,1),(423,1),(428,1),(551,1)}
       379:{2,4,5,6}:{(329,1),(331,1),(422,1),(424,1),(425,1)}
       380:{2,5,7}:{(329,1),(330,1),(332,1)}
       381:{1,3,4,5,6}:{(331,1),(333,1),(346,1),(410,1),(424,1),(426,1),(427,1),(433,1),(482,1),(497,1)}
       382:{1,4,5,7}:{(331,1),(332,1),(334,1),(336,1),(425,1),(434,1),(483,1)}
       383:{3,4,5,7}:{(333,1),(334,1),(337,1),(348,1),(412,1),(496,1)}
       384:{2,4,6,7}:{(335,1),(336,1),(425,1),(428,1)}
       385:{1,3,4,6,7}:{(336,1),(337,1),(338,1),(427,1),(428,1),(429,1),(500,1)}
       386:{2,5,6,7}:{(338,1),(429,1),(430,1),(440,1),(489,1)}
       387:{1,3,4,5}:{(339,1),(343,1),(421,1),(432,1),(433,1)}
       388:{1,4,6}:{(339,1),(340,1),(422,1),(434,1)}
       389:{1,3,5,7}:{(340,1),(341,1),(345,1),(423,1),(434,1)}
       390:{1,2,3,6}:{(349,1),(431,1),(435,1),(540,1)}
       391:{1,3,4,6}:{(342,1),(350,1),(435,1),(436,1),(442,1),(501,1),(503,1),(540,1)}
       392:{2,3,5}:{(342,1),(343,1),(432,1),(436,1)}
       393:{1,3,5,6}:{(343,1),(344,1),(352,1),(424,1),(433,1),(437,1),(438,1),(549,1)}
       394:{1,2,4,5,7}:{(344,1),(345,1),(347,1),(353,1),(425,1),(434,1),(438,1),(440,1),(499,1),(504,1),(539,1),(550,1)}
       395:{2,5,6}:{(346,1),(355,1),(439,1),(440,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(348,1),(356,1),(440,1)}
       397:{1,2,4,7}:{(349,1),(350,1),(435,1),(441,1)}
       398:{1,3,5,7}:{(350,1),(351,1),(354,1),(436,1),(441,1),(442,1)}
       399:{2,3,6}:{(351,1),(352,1),(355,1),(442,1)}
       400:{1,3,6,7}:{(352,1),(353,1),(428,1),(438,1),(443,1)}
       401:{1,4,6}:{(354,1),(355,1),(439,1),(442,1)}
       402:{2,4,6,7}:{(355,1),(356,1),(440,1),(443,1),(444,1),(504,1)}
       403:{1,4,5}:{(357,1),(376,1),(446,1)}
       404:{1,3,5,6}:{(357,1),(358,1),(362,1),(377,1),(446,1),(447,1)}
       405:{1,3,6,7}:{(358,1),(359,1),(363,1),(378,1),(447,1),(548,1)}
       406:{2,3,4,6}:{(360,1),(368,1),(449,1),(450,1),(457,1),(510,1),(518,1),(546,1)}
       407:{1,3,5}:{(360,1),(361,1),(450,1)}
       408:{1,2,4,5,6}:{(361,1),(362,1),(364,1),(370,1),(379,1),(446,1),(451,1),(452,1),(453,1),(466,1),(510,1),(522,1),(526,1)}
       409:{1,2,5,7}:{(362,1),(363,1),(365,1),(380,1),(447,1),(477,1)}
       410:{1,3,5,6}:{(364,1),(366,1),(373,1),(453,1),(454,1)}
       411:{1,4,5,7}:{(364,1),(365,1),(367,1),(374,1),(454,1)}
       412:{3,5,7}:{(366,1),(367,1),(375,1)}
       413:{1,2,3,7}:{(448,1),(455,1),(552,1)}
       414:{1,3,4,7}:{(368,1),(449,1),(455,1),(456,1),(544,1),(552,1)}
       415:{2,3,5,7}:{(368,1),(369,1),(372,1),(450,1),(456,1),(457,1)}
       416:{1,3,6}:{(369,1),(370,1),(457,1)}
       417:{1,2,4,6,7}:{(370,1),(371,1),(374,1),(384,1),(452,1),(458,1),(460,1),(469,1),(524,1)}
       418:{1,4,5,7}:{(372,1),(456,1),(459,1),(509,1),(515,1),(544,1)}
       419:{2,4,6}:{(372,1),(373,1),(453,1),(457,1),(459,1)}
       420:{1,3,4,6,7}:{(373,1),(374,1),(375,1),(454,1),(458,1),(460,1),(511,1)}
       421:{3,4,5}:{(376,1),(462,1)}
       422:{2,4,6}:{(376,1),(377,1),(388,1),(446,1),(462,1),(463,1)}
       423:{2,3,5,7}:{(377,1),(378,1),(380,1),(389,1),(447,1),(463,1),(465,1)}
       424:{3,5,6}:{(379,1),(462,1),(465,1)}
       425:{2,4,5,7}:{(379,1),(380,1),(382,1),(384,1),(463,1),(465,1)}
       426:{2,4,5,6}:{(381,1),(395,1),(453,1),(464,1),(466,1),(467,1),(472,1),(510,1),(522,1)}
       427:{1,3,4,5,7}:{(381,1),(382,1),(383,1),(385,1),(396,1),(454,1),(465,1),(467,1),(473,1),(511,1),(523,1)}
       428:{3,6,7}:{(384,1),(465,1)}
       429:{2,4,6,7}:{(385,1),(386,1),(467,1),(468,1),(469,1),(524,1)}
       430:{1,5,6,7}:{(386,1),(469,1),(477,1),(515,1)}
       431:{1,2,3,5}:{(390,1),(470,1),(474,1),(525,1)}
       432:{2,4,5}:{(387,1),(392,1),(471,1),(472,1)}
       433:{1,3,4,6}:{(387,1),(388,1),(393,1),(462,1),(472,1),(473,1)}
       434:{1,4,7}:{(388,1),(389,1),(463,1)}
       435:{1,2,4,6}:{(390,1),(391,1),(397,1),(470,1),(474,1),(478,1)}
       436:{1,3,5}:{(391,1),(392,1),(471,1),(474,1)}
       437:{2,3,5,6}:{(392,1),(393,1),(395,1),(399,1),(472,1),(475,1),(476,1),(522,1),(546,1)}
       438:{1,3,5,7}:{(393,1),(394,1),(400,1),(465,1),(473,1),(476,1),(552,1)}
       439:{1,5,6}:{(395,1),(401,1),(477,1)}
       440:{2,5,7}:{(395,1),(396,1),(402,1),(477,1)}
       441:{1,2,5,7}:{(397,1),(398,1),(474,1),(478,1)}
       442:{1,3,6}:{(398,1),(399,1),(401,1),(478,1)}
       443:{2,3,6,7}:{(399,1),(400,1),(402,1),(476,1),(479,1),(524,1)}
       444:{1,4,6,7}:{(401,1),(402,1),(477,1),(479,1),(527,1)}
       445:{1,3,4,5}:{(403,1),(407,1),(421,1),(481,1),(482,1)}
       446:{1,4,6}:{(403,1),(404,1),(422,1),(483,1)}
       447:{1,3,5,7}:{(404,1),(405,1),(409,1),(423,1),(483,1)}
       448:{1,2,3,6}:{(413,1),(480,1),(484,1),(549,1)}
       449:{1,3,4,6}:{(406,1),(414,1),(484,1),(485,1),(491,1),(529,1),(531,1),(549,1)}
       450:{2,3,5}:{(406,1),(407,1),(481,1),(485,1)}
       451:{1,3,5,6}:{(407,1),(408,1),(416,1),(424,1),(482,1),(486,1),(487,1),(540,1)}
       452:{1,2,4,5,7}:{(408,1),(409,1),(411,1),(417,1),(425,1),(483,1),(487,1),(489,1),(499,1),(532,1),(539,1),(541,1)}
       453:{2,5,6}:{(410,1),(419,1),(488,1),(489,1)}
       454:{1,3,5,7}:{(410,1),(411,1),(412,1),(420,1),(489,1)}
       455:{1,2,4,7}:{(413,1),(414,1),(484,1),(490,1)}
       456:{1,3,5,7}:{(414,1),(415,1),(418,1),(485,1),(490,1),(491,1)}
       457:{2,3,6}:{(415,1),(416,1),(419,1),(491,1)}
       458:{1,3,6,7}:{(416,1),(417,1),(428,1),(487,1),(492,1)}
       459:{1,4,6}:{(418,1),(419,1),(488,1),(491,1)}
       460:{2,4,6,7}:{(419,1),(420,1),(489,1),(492,1),(493,1),(532,1)}
       461:{2,3,4,5}:{(421,1),(432,1),(481,1),(494,1),(495,1),(536,1)}
       462:{3,4,6}:{(421,1),(422,1),(424,1),(496,1)}
       463:{2,4,7}:{(422,1),(423,1),(434,1),(483,1),(496,1)}
       464:{2,3,5,6}:{(424,1),(426,1),(495,1),(497,1),(498,1)}
       465:{3,5,7}:{(424,1),(425,1),(428,1),(496,1)}
       466:{1,4,5,6}:{(426,1),(439,1),(488,1),(497,1),(499,1),(503,1),(531,1)}
       467:{2,4,5,7}:{(426,1),(427,1),(429,1),(440,1),(489,1),(498,1),(499,1),(504,1),(532,1),(539,1)}
       468:{2,3,6,7}:{(428,1),(429,1),(498,1),(500,1)}
       469:{1,4,6,7}:{(429,1),(430,1),(499,1),(500,1)}
       470:{1,2,4}:{(431,1),(501,1)}
       471:{1,4,5}:{(432,1),(436,1),(503,1)}
       472:{2,4,6}:{(432,1),(433,1),(437,1),(503,1),(504,1)}
       473:{1,3,4,7}:{(433,1),(434,1),(438,1),(496,1),(504,1)}
       474:{1,2,5}:{(435,1),(436,1)}
       475:{1,3,5,6}:{(436,1),(437,1),(439,1),(442,1),(503,1),(505,1),(506,1),(540,1)}
       476:{2,3,5,7}:{(437,1),(438,1),(440,1),(443,1),(504,1),(506,1),(539,1),(551,1)}
       477:{1,5,7}:{(439,1),(440,1),(444,1)}
       478:{1,2,6}:{(441,1),(442,1)}
       479:{1,3,6,7}:{(442,1),(443,1),(444,1),(506,1),(507,1)}
       480:{1,2,3,5}:{(448,1),(508,1),(512,1),(542,1)}
       481:{2,4,5}:{(445,1),(450,1),(509,1),(510,1)}
       482:{1,3,4,6}:{(445,1),(446,1),(451,1),(462,1),(510,1),(511,1)}
       483:{1,4,7}:{(446,1),(447,1),(463,1)}
       484:{1,2,4,6}:{(448,1),(449,1),(455,1),(508,1),(512,1),(516,1)}
       485:{1,3,5}:{(449,1),(450,1),(509,1),(512,1)}
       486:{2,3,5,6}:{(450,1),(451,1),(453,1),(457,1),(510,1),(513,1),(514,1),(522,1),(546,1)}
       487:{1,3,5,7}:{(451,1),(452,1),(458,1),(465,1),(511,1),(514,1),(548,1)}
       488:{1,5,6}:{(453,1),(459,1),(515,1)}
       489:{2,5,7}:{(453,1),(454,1),(460,1),(515,1)}
       490:{1,2,5,7}:{(455,1),(456,1),(512,1),(516,1)}
       491:{1,3,6}:{(456,1),(457,1),(459,1),(516,1)}
       492:{2,3,6,7}:{(457,1),(458,1),(460,1),(514,1),(517,1),(524,1)}
       493:{1,4,6,7}:{(459,1),(460,1),(515,1),(517,1),(544,1)}
       494:{1,3,4,5}:{(461,1),(471,1),(509,1),(519,1),(520,1),(525,1),(542,1)}
       495:{2,3,4,6}:{(461,1),(462,1),(464,1),(472,1),(510,1),(520,1),(521,1),(546,1)}
       496:{3,4,7}:{(462,1),(463,1),(465,1)}
       497:{1,3,5,6}:{(464,1),(466,1),(520,1),(522,1),(523,1)}
       498:{2,3,5,7}:{(464,1),(465,1),(467,1),(468,1),(521,1),(523,1)}
       499:{1,4,5,7}:{(466,1),(467,1),(469,1),(477,1),(515,1),(523,1),(527,1),(544,1)}
       500:{1,3,6,7}:{(468,1),(469,1),(523,1),(524,1)}
       501:{1,3,4}:{(470,1),(518,1),(525,1)}
       502:{1,2,4,5}:{(470,1),(471,1),(474,1),(519,1),(525,1),(526,1)}
       503:{1,4,6}:{(471,1),(472,1),(475,1),(527,1)}
       504:{2,4,7}:{(472,1),(473,1),(476,1),(527,1)}
       505:{1,2,5,6}:{(474,1),(475,1),(478,1),(522,1),(526,1),(528,1)}
       506:{1,3,5,7}:{(475,1),(476,1),(477,1),(479,1),(527,1),(528,1),(548,1)}
       507:{1,2,6,7}:{(478,1),(479,1),(524,1),(528,1)}
       508:{1,2,4}:{(480,1),(529,1)}
       509:{1,4,5}:{(481,1),(485,1),(531,1)}
       510:{2,4,6}:{(481,1),(482,1),(486,1),(531,1),(532,1)}
       511:{1,3,4,7}:{(482,1),(483,1),(487,1),(496,1),(532,1)}
       512:{1,2,5}:{(484,1),(485,1)}
       513:{1,3,5,6}:{(485,1),(486,1),(488,1),(491,1),(531,1),(533,1),(534,1),(549,1)}
       514:{2,3,5,7}:{(486,1),(487,1),(489,1),(492,1),(532,1),(534,1),(539,1),(551,1)}
       515:{1,5,7}:{(488,1),(489,1),(493,1)}
       516:{1,2,6}:{(490,1),(491,1)}
       517:{1,3,6,7}:{(491,1),(492,1),(493,1),(534,1),(535,1)}
       518:{2,3,4}:{(501,1),(529,1),(536,1)}
       519:{2,4,5}:{(494,1),(536,1),(537,1)}
       520:{1,3,4,6}:{(494,1),(495,1),(497,1),(503,1),(531,1),(537,1),(538,1),(540,1),(549,1)}
       521:{2,3,4,7}:{(495,1),(496,1),(498,1),(504,1),(532,1),(538,1),(551,1)}
       522:{2,5,6}:{(497,1),(537,1),(539,1)}
       523:{1,3,5,7}:{(497,1),(498,1),(499,1),(500,1),(538,1),(539,1)}
       524:{2,6,7}:{(500,1),(539,1)}
       525:{1,3,5}:{(501,1),(502,1),(536,1),(540,1)}
       526:{1,2,4,6}:{(502,1),(503,1),(505,1),(537,1),(540,1),(541,1)}
       527:{1,4,7}:{(503,1),(504,1),(506,1)}
       528:{1,2,5,7}:{(505,1),(506,1),(507,1),(539,1),(541,1)}
       529:{1,3,4}:{(508,1),(518,1),(542,1)}
       530:{1,2,4,5}:{(508,1),(509,1),(512,1),(519,1),(542,1),(543,1)}
       531:{1,4,6}:{(509,1),(510,1),(513,1),(544,1)}
       532:{2,4,7}:{(510,1),(511,1),(514,1),(544,1)}
       533:{1,2,5,6}:{(512,1),(513,1),(516,1),(522,1),(543,1),(545,1)}
       534:{1,3,5,7}:{(513,1),(514,1),(515,1),(517,1),(544,1),(545,1),(552,1)}
       535:{1,2,6,7}:{(516,1),(517,1),(524,1),(545,1)}
       536:{2,3,5}:{(518,1),(519,1),(525,1),(542,1),(546,1)}
       537:{2,4,6}:{(519,1),(520,1),(522,1),(546,1),(547,1)}
       538:{1,3,4,7}:{(520,1),(521,1),(523,1),(527,1),(544,1),(547,1),(548,1),(552,1)}
       539:{2,5,7}:{(522,1),(523,1),(524,1),(547,1)}
       540:{1,3,6}:{(525,1),(526,1),(546,1),(548,1)}
       541:{1,2,4,7}:{(526,1),(527,1),(528,1),(547,1),(548,1)}
       542:{1,3,5}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,6}:{(530,1),(531,1),(533,1),(537,1),(549,1),(550,1)}
       544:{1,4,7}:{(531,1),(532,1),(534,1)}
       545:{1,2,5,7}:{(533,1),(534,1),(535,1),(539,1),(550,1)}
       546:{2,3,6}:{(536,1),(537,1),(540,1),(549,1),(551,1)}
       547:{2,4,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,3,7}:{(540,1),(541,1),(551,1)}
       549:{1,3,6}:{(542,1),(543,1),(546,1),(552,1)}
       550:{1,2,4,7}:{(543,1),(544,1),(545,1),(547,1),(552,1)}
       551:{2,3,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,3,7}:{(549,1),(550,1),(551,1)}

2311 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2312 :   0:{1,2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(196,1),(201,1),(290,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(32,1),(37,1),(87,1),(165,1),(170,1),(172,1),(179,1),(241,1),(267,1)}
         2:{1,2,3,6}:{(0,1),(10,1),(42,1),(331,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(248,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(50,1),(52,1),(136,1),(141,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(22,1),(50,1),(61,1),(68,1),(113,1),(126,1),(144,1),(204,1),(217,1),(219,1),(227,1),(287,1),(312,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(17,1),(57,1),(127,1),(213,1),(228,1),(288,1)}
         7:{1,2,3,6,7}:{(2,1),(19,1),(20,1),(70,1),(139,1),(196,1),(232,1),(283,1),(363,1),(398,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(21,1),(22,1),(144,1),(293,1)}
         9:{1,2,3,5,6}:{(2,1),(19,1),(23,1),(24,1),(67,1),(69,1),(72,1),(139,1),(147,1),(201,1),(283,1),(297,1),(357,1),(364,1),(396,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(21,1),(24,1)}
        11:{1,2,4,5,7}:{(3,1),(15,1),(22,1),(24,1),(25,1),(68,1),(74,1),(144,1),(287,1),(290,1),(294,1),(365,1)}
        12:{1,2,3,6}:{(4,1),(29,1),(79,1),(277,1)}
        13:{1,2,4,7}:{(4,1),(27,1),(29,1),(186,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(172,1),(264,1)}
        15:{2,4,5,7}:{(5,1),(32,1),(33,1),(87,1),(91,1),(172,1),(265,1),(349,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(34,1),(42,1),(79,1),(102,1),(156,1),(171,1),(275,1),(329,1)}
        17:{2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(257,1),(271,1),(325,1)}
        18:{2,3,4,6,7}:{(6,1),(35,1),(37,1),(86,1),(89,1),(172,1),(261,1),(262,1),(267,1),(276,1),(330,1)}
        19:{1,2,3,5,7}:{(7,1),(9,1),(39,1),(40,1),(98,1),(103,1),(192,1),(336,1),(385,1),(407,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(99,1),(244,1),(276,1),(324,1),(331,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(31,1),(41,1),(42,1),(102,1)}
        22:{1,3,5,7}:{(8,1),(11,1),(32,1),(41,1),(42,1),(333,1),(385,1)}
        23:{1,2,4,6}:{(9,1),(39,1),(43,1),(44,1),(102,1),(188,1),(248,1),(406,1)}
        24:{1,2,5}:{(10,1),(41,1)}
        25:{1,2,4,6}:{(11,1),(33,1),(42,1),(45,1),(102,1),(329,1),(331,1)}
        26:{1,2,3,6,7}:{(12,1),(47,1),(48,1),(115,1),(136,1),(199,1),(223,1),(292,1),(321,1),(379,1)}
        27:{1,3,4,7}:{(13,1),(14,1),(49,1),(50,1),(204,1),(233,1)}
        28:{1,2,3,5,6}:{(12,1),(47,1),(51,1),(52,1),(112,1),(114,1),(117,1),(141,1),(199,1),(207,1),(223,1),(237,1),(315,1),(322,1),(377,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(49,1),(52,1)}
        30:{1,2,4,5,7}:{(13,1),(15,1),(50,1),(52,1),(53,1),(113,1),(119,1),(204,1),(227,1),(230,1),(234,1),(323,1)}
        31:{2,3,4,6}:{(14,1),(21,1),(49,1),(56,1),(57,1),(127,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(22,1),(50,1),(56,1),(57,1),(310,1),(375,1)}
        33:{2,4,6}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,5,6}:{(16,1),(17,1),(58,1),(60,1),(61,1),(129,1),(316,1),(358,1)}
        35:{1,3,4,6,7}:{(16,1),(18,1),(59,1),(61,1),(70,1),(115,1),(124,1),(144,1),(204,1),(215,1),(219,1),(309,1),(312,1),(320,1),(362,1)}
        36:{2,4,5,6}:{(17,1),(60,1),(62,1),(63,1),(127,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(61,1),(63,1),(304,1),(317,1),(359,1)}
        38:{1,3,4,6,7}:{(20,1),(21,1),(54,1),(64,1),(65,1),(70,1),(134,1),(139,1),(144,1),(197,1),(291,1),(356,1),(362,1),(398,1),(411,1)}
        39:{1,2,4,7}:{(19,1),(23,1),(65,1),(144,1),(236,1),(411,1)}
        40:{1,2,5,7}:{(20,1),(24,1),(64,1),(67,1),(317,1),(357,1)}
        41:{1,3,5}:{(21,1),(24,1),(56,1),(68,1)}
        42:{1,3,6}:{(22,1),(25,1),(57,1)}
        43:{1,3,4,6}:{(23,1),(65,1),(71,1),(72,1),(139,1),(293,1),(364,1)}
        44:{1,2,4,5}:{(23,1),(24,1),(68,1),(72,1),(142,1),(357,1),(395,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(58,1),(69,1),(74,1),(358,1)}
        46:{1,2,4,6,7}:{(25,1),(59,1),(70,1),(74,1),(144,1),(362,1),(363,1),(365,1)}
        47:{1,2,3,5,7}:{(26,1),(28,1),(76,1),(77,1),(152,1),(157,1),(254,1),(282,1),(355,1),(394,1)}
        48:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(153,1),(182,1),(270,1),(277,1),(330,1)}
        49:{1,3,4,6}:{(27,1),(29,1),(31,1),(78,1),(79,1),(156,1)}
        50:{1,3,5,7}:{(27,1),(30,1),(32,1),(78,1),(79,1),(279,1),(355,1)}
        51:{1,2,4,6}:{(28,1),(76,1),(80,1),(81,1),(156,1),(186,1),(250,1),(393,1)}
        52:{1,2,5}:{(29,1),(78,1)}
        53:{1,2,4,6}:{(30,1),(33,1),(79,1),(82,1),(156,1),(275,1),(277,1)}
        54:{2,3,4,6,7}:{(31,1),(38,1),(75,1),(84,1),(89,1),(97,1),(151,1),(166,1),(172,1),(184,1),(246,1),(261,1),(276,1),(330,1),(341,1),(392,1),(410,1)}
        55:{2,3,5,6,7}:{(37,1),(85,1),(86,1),(164,1),(256,1),(262,1)}
        56:{2,3,5}:{(31,1),(41,1),(78,1),(87,1)}
        57:{2,3,6}:{(32,1),(33,1),(42,1),(79,1)}
        58:{2,5,6}:{(33,1),(34,1),(91,1)}
        59:{2,4,6,7}:{(33,1),(35,1),(89,1),(91,1),(172,1),(347,1),(349,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(90,1),(93,1),(102,1),(156,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(37,1),(91,1),(93,1),(174,1),(352,1),(382,1)}
        62:{3,4,5,6}:{(36,1),(94,1),(171,1),(257,1)}
        63:{2,4,5,7}:{(36,1),(37,1),(86,1),(93,1),(94,1),(172,1)}
        64:{1,3,5,7}:{(38,1),(40,1),(41,1),(84,1),(95,1),(96,1),(380,1),(382,1)}
        65:{1,3,4,7}:{(39,1),(43,1),(97,1),(98,1),(385,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(44,1),(95,1),(98,1),(99,1),(179,1)}
        67:{1,2,5,6}:{(40,1),(96,1),(99,1),(271,1),(331,1)}
        68:{1,4,5}:{(41,1),(87,1),(102,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(45,1),(88,1),(102,1),(103,1)}
        70:{1,3,6,7}:{(42,1),(46,1),(89,1),(103,1),(385,1)}
        71:{2,3,4,6}:{(43,1),(97,1),(105,1),(106,1),(184,1),(188,1),(264,1),(348,1)}
        72:{1,3,5}:{(43,1),(44,1),(106,1)}
        73:{1,2,4,5,6}:{(44,1),(45,1),(90,1),(99,1),(102,1),(107,1),(108,1),(175,1),(177,1),(188,1),(268,1),(271,1),(334,1),(381,1),(386,1),(406,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(91,1),(103,1),(382,1)}
        75:{1,3,4,6,7}:{(48,1),(49,1),(54,1),(109,1),(110,1),(115,1),(137,1),(194,1),(199,1),(204,1),(231,1),(314,1),(320,1),(379,1),(405,1)}
        76:{1,2,4,7}:{(47,1),(51,1),(110,1),(204,1),(296,1),(405,1)}
        77:{1,2,5,7}:{(48,1),(52,1),(109,1),(112,1),(315,1),(359,1)}
        78:{1,3,5}:{(49,1),(52,1),(56,1),(113,1)}
        79:{1,3,6}:{(50,1),(53,1),(57,1)}
        80:{1,3,4,6}:{(51,1),(110,1),(116,1),(117,1),(199,1),(233,1),(322,1)}
        81:{1,2,4,5}:{(51,1),(52,1),(113,1),(117,1),(202,1),(315,1),(376,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(58,1),(114,1),(119,1),(316,1)}
        83:{1,2,4,6,7}:{(53,1),(59,1),(115,1),(119,1),(204,1),(320,1),(321,1),(323,1)}
        84:{2,3,5,7}:{(54,1),(56,1),(64,1),(109,1),(121,1),(122,1),(304,1),(317,1),(359,1),(370,1)}
        85:{1,3,5,6,7}:{(55,1),(61,1),(123,1),(124,1),(215,1),(302,1),(309,1)}
        86:{2,4,6,7}:{(55,1),(63,1),(124,1),(125,1)}
        87:{2,4,5}:{(56,1),(68,1),(113,1),(126,1),(127,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(58,1),(69,1),(114,1),(127,1),(128,1),(129,1)}
        89:{2,3,6,7}:{(57,1),(59,1),(70,1),(115,1),(128,1),(215,1),(375,1)}
        90:{2,4,5,6}:{(58,1),(60,1),(127,1),(129,1),(130,1)}
        91:{2,5,7}:{(58,1),(59,1),(61,1)}
        92:{1,3,4,5,6}:{(60,1),(62,1),(129,1),(131,1),(132,1),(143,1),(203,1),(220,1),(224,1),(284,1),(299,1),(366,1),(400,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(63,1),(124,1),(130,1),(144,1),(204,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(125,1),(219,1),(304,1)}
        95:{1,4,5,7}:{(64,1),(68,1),(121,1),(134,1),(144,1),(395,1),(411,1)}
        96:{1,3,5,6}:{(64,1),(67,1),(122,1),(134,1),(139,1),(291,1),(358,1)}
        97:{2,3,4,7}:{(65,1),(71,1),(137,1),(138,1),(236,1),(375,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(72,1),(138,1),(139,1)}
        99:{1,2,4,6}:{(66,1),(67,1),(134,1),(139,1),(228,1)}
       100:{1,2,5,6,7}:{(67,1),(74,1),(123,1),(135,1),(140,1),(302,1),(317,1),(363,1),(369,1),(397,1)}
       101:{1,3,4,5}:{(68,1),(72,1),(126,1),(142,1),(143,1),(395,1),(399,1)}
       102:{1,4,6}:{(68,1),(69,1),(127,1),(144,1)}
       103:{1,3,5,7}:{(69,1),(70,1),(74,1),(128,1),(144,1)}
       104:{1,2,3,6}:{(136,1),(141,1),(145,1),(322,1)}
       105:{1,3,4,6}:{(71,1),(137,1),(145,1),(146,1),(231,1),(233,1),(235,1),(322,1)}
       106:{2,3,5}:{(71,1),(72,1),(142,1),(146,1)}
       107:{1,3,5,6}:{(72,1),(73,1),(129,1),(139,1),(143,1),(147,1),(148,1),(364,1),(400,1)}
       108:{1,2,4,5,7}:{(73,1),(74,1),(130,1),(140,1),(144,1),(148,1),(222,1),(225,1),(236,1),(313,1),(317,1),(365,1),(397,1),(401,1),(411,1)}
       109:{1,3,5,7}:{(75,1),(77,1),(78,1),(84,1),(149,1),(150,1),(350,1),(352,1)}
       110:{1,3,4,7}:{(76,1),(80,1),(151,1),(152,1),(355,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(81,1),(149,1),(152,1),(153,1),(241,1)}
       112:{1,2,5,6}:{(77,1),(150,1),(153,1),(277,1),(325,1)}
       113:{1,4,5}:{(78,1),(87,1),(156,1)}
       114:{1,3,5,6}:{(78,1),(79,1),(82,1),(88,1),(156,1),(157,1)}
       115:{1,3,6,7}:{(79,1),(83,1),(89,1),(157,1),(355,1)}
       116:{2,3,4,6}:{(80,1),(151,1),(159,1),(160,1),(246,1),(250,1),(264,1),(348,1)}
       117:{1,3,5}:{(80,1),(81,1),(160,1)}
       118:{1,2,4,5,6}:{(81,1),(82,1),(90,1),(153,1),(156,1),(161,1),(162,1),(175,1),(239,1),(250,1),(268,1),(280,1),(325,1),(351,1),(386,1),(393,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(91,1),(157,1),(352,1)}
       120:{2,4,5,6,7}:{(86,1),(163,1),(164,1),(256,1),(258,1),(388,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(95,1),(149,1),(165,1),(166,1),(172,1),(389,1),(410,1)}
       122:{2,3,5,6}:{(84,1),(96,1),(150,1),(166,1),(184,1),(246,1),(257,1),(271,1),(325,1)}
       123:{2,5,6,7}:{(85,1),(91,1),(168,1),(347,1)}
       124:{1,4,6,7}:{(85,1),(86,1),(93,1),(168,1)}
       125:{3,4,6,7}:{(86,1),(94,1),(164,1)}
       126:{3,4,5}:{(87,1),(171,1)}
       127:{2,4,6}:{(87,1),(88,1),(102,1),(156,1),(171,1),(172,1)}
       128:{2,3,5,7}:{(88,1),(89,1),(91,1),(103,1),(157,1),(172,1),(174,1)}
       129:{3,5,6}:{(90,1),(171,1),(174,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(93,1),(168,1),(172,1),(174,1)}
       131:{2,4,5,6}:{(92,1),(173,1),(175,1),(176,1),(188,1),(250,1),(268,1),(271,1),(325,1)}
       132:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(169,1),(174,1),(176,1),(189,1),(251,1),(269,1),(272,1),(326,1),(338,1),(387,1),(409,1)}
       133:{1,3,4,5,7}:{(95,1),(98,1),(101,1),(165,1),(179,1),(180,1),(189,1),(272,1)}
       134:{1,4,6}:{(95,1),(96,1),(166,1)}
       135:{1,3,5,6,7}:{(96,1),(100,1),(103,1),(167,1),(181,1),(185,1),(272,1),(332,1),(382,1),(407,1)}
       136:{1,2,3,7}:{(104,1),(182,1),(355,1)}
       137:{1,3,4,7}:{(97,1),(105,1),(182,1),(183,1),(281,1),(355,1)}
       138:{2,3,5,7}:{(97,1),(98,1),(106,1),(179,1),(183,1),(184,1)}
       139:{1,3,6}:{(98,1),(99,1),(184,1)}
       140:{1,2,4,6,7}:{(99,1),(100,1),(108,1),(168,1),(181,1),(185,1),(263,1),(276,1),(347,1),(388,1)}
       141:{1,2,3,5}:{(104,1),(186,1),(190,1),(279,1)}
       142:{2,4,5}:{(101,1),(106,1),(187,1),(188,1)}
       143:{1,3,4,6}:{(101,1),(102,1),(107,1),(171,1),(188,1),(189,1),(406,1),(408,1)}
       144:{1,4,7}:{(102,1),(103,1),(172,1)}
       145:{1,2,4,6}:{(104,1),(105,1),(182,1),(186,1),(190,1),(277,1)}
       146:{1,3,5}:{(105,1),(106,1),(187,1),(190,1)}
       147:{2,3,5,6}:{(106,1),(107,1),(184,1),(188,1),(191,1),(192,1),(268,1),(271,1),(348,1)}
       148:{1,3,5,7}:{(107,1),(108,1),(174,1),(185,1),(189,1),(192,1),(385,1),(409,1)}
       149:{1,4,5,7}:{(109,1),(113,1),(121,1),(194,1),(204,1),(376,1),(405,1)}
       150:{1,3,5,6}:{(109,1),(112,1),(122,1),(194,1),(199,1),(231,1),(316,1)}
       151:{2,3,4,7}:{(110,1),(116,1),(197,1),(198,1),(296,1),(375,1)}
       152:{1,3,5,7}:{(110,1),(111,1),(117,1),(198,1),(199,1)}
       153:{1,2,4,6}:{(111,1),(112,1),(194,1),(199,1),(288,1)}
       154:{1,2,5,6,7}:{(112,1),(119,1),(123,1),(195,1),(200,1),(302,1),(321,1),(359,1),(369,1),(378,1)}
       155:{1,3,4,5}:{(113,1),(117,1),(126,1),(202,1),(203,1),(376,1),(399,1)}
       156:{1,4,6}:{(113,1),(114,1),(127,1),(204,1)}
       157:{1,3,5,7}:{(114,1),(115,1),(119,1),(128,1),(204,1)}
       158:{1,2,3,6}:{(196,1),(201,1),(205,1),(364,1)}
       159:{1,3,4,6}:{(116,1),(197,1),(205,1),(206,1),(291,1),(293,1),(295,1),(364,1)}
       160:{2,3,5}:{(116,1),(117,1),(202,1),(206,1)}
       161:{1,3,5,6}:{(117,1),(118,1),(129,1),(199,1),(203,1),(207,1),(208,1),(322,1),(400,1)}
       162:{1,2,4,5,7}:{(118,1),(119,1),(130,1),(200,1),(204,1),(208,1),(222,1),(285,1),(296,1),(313,1),(323,1),(359,1),(378,1),(401,1),(405,1)}
       163:{1,4,5,6,7}:{(120,1),(124,1),(209,1),(210,1),(225,1),(285,1),(302,1),(368,1)}
       164:{3,5,6,7}:{(120,1),(125,1),(304,1),(402,1)}
       165:{3,4,5,7}:{(121,1),(126,1),(213,1),(219,1),(304,1),(399,1),(412,1)}
       166:{2,4,6}:{(121,1),(122,1),(134,1),(194,1),(213,1)}
       167:{2,3,5,6,7}:{(122,1),(123,1),(128,1),(135,1),(195,1),(214,1),(215,1),(232,1),(292,1),(304,1),(317,1),(359,1),(369,1),(402,1),(404,1)}
       168:{2,4,6,7}:{(123,1),(124,1),(130,1),(215,1)}
       169:{1,3,4,6,7}:{(124,1),(125,1),(132,1),(210,1),(215,1),(216,1),(300,1),(309,1),(368,1),(402,1)}
       170:{2,3,4,5}:{(126,1),(142,1),(202,1),(217,1),(218,1),(310,1),(399,1)}
       171:{3,4,6}:{(126,1),(127,1),(129,1),(219,1)}
       172:{2,4,7}:{(127,1),(128,1),(144,1),(204,1),(219,1)}
       173:{2,3,5,6}:{(129,1),(131,1),(218,1),(220,1),(221,1),(400,1)}
       174:{3,5,7}:{(129,1),(130,1),(215,1),(219,1)}
       175:{1,4,5,6}:{(131,1),(220,1),(222,1),(235,1),(295,1),(316,1),(358,1)}
       176:{2,4,5,7}:{(131,1),(132,1),(216,1),(221,1),(222,1),(236,1),(296,1),(313,1),(317,1),(359,1)}
       177:{1,4,5,6}:{(134,1),(211,1),(224,1),(225,1),(358,1)}
       178:{1,2,3,5,7}:{(136,1),(141,1),(223,1),(226,1),(230,1),(315,1),(318,1)}
       179:{2,4,5,7}:{(133,1),(138,1),(142,1),(227,1),(228,1),(236,1),(317,1)}
       180:{1,3,4,6}:{(133,1),(134,1),(139,1),(213,1),(224,1),(228,1)}
       181:{1,4,6,7}:{(134,1),(135,1),(144,1),(214,1),(225,1),(411,1)}
       182:{1,2,4,7}:{(136,1),(137,1),(145,1),(230,1)}
       183:{1,3,5,7}:{(137,1),(138,1),(146,1),(227,1),(230,1),(231,1)}
       184:{2,3,6}:{(138,1),(139,1),(228,1),(231,1)}
       185:{1,3,6,7}:{(139,1),(140,1),(148,1),(215,1),(232,1),(402,1)}
       186:{1,2,4}:{(141,1),(233,1)}
       187:{1,4,5}:{(142,1),(146,1),(235,1)}
       188:{2,4,6}:{(142,1),(143,1),(147,1),(235,1),(236,1)}
       189:{1,3,4,7}:{(143,1),(144,1),(148,1),(219,1),(236,1),(411,1),(412,1)}
       190:{1,2,5}:{(145,1),(146,1)}
       191:{1,3,5,6}:{(146,1),(147,1),(231,1),(235,1),(237,1),(238,1),(316,1),(322,1)}
       192:{2,3,5,7}:{(147,1),(148,1),(232,1),(236,1),(238,1),(313,1),(317,1),(375,1)}
       193:{1,3,4,5,7}:{(149,1),(152,1),(155,1),(165,1),(241,1),(242,1),(251,1),(326,1)}
       194:{1,4,6}:{(149,1),(150,1),(166,1)}
       195:{1,3,5,6,7}:{(150,1),(154,1),(157,1),(167,1),(243,1),(247,1),(278,1),(326,1),(352,1),(394,1)}
       196:{1,2,3,7}:{(158,1),(244,1),(385,1)}
       197:{1,3,4,7}:{(151,1),(159,1),(244,1),(245,1),(335,1),(385,1)}
       198:{2,3,5,7}:{(151,1),(152,1),(160,1),(241,1),(245,1),(246,1)}
       199:{1,3,6}:{(152,1),(153,1),(246,1)}
       200:{1,2,4,6,7}:{(153,1),(154,1),(162,1),(168,1),(243,1),(247,1),(263,1),(330,1),(347,1),(388,1)}
       201:{1,2,3,5}:{(158,1),(248,1),(252,1),(333,1)}
       202:{2,4,5}:{(155,1),(160,1),(249,1),(250,1)}
       203:{1,3,4,6}:{(155,1),(156,1),(161,1),(171,1),(250,1),(251,1),(393,1),(408,1)}
       204:{1,4,7}:{(156,1),(157,1),(172,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(244,1),(248,1),(252,1),(331,1)}
       206:{1,3,5}:{(159,1),(160,1),(249,1),(252,1)}
       207:{2,3,5,6}:{(160,1),(161,1),(246,1),(250,1),(253,1),(254,1),(268,1),(325,1),(348,1)}
       208:{1,3,5,7}:{(161,1),(162,1),(174,1),(247,1),(251,1),(254,1),(355,1),(409,1)}
       209:{2,4,5,6,7}:{(163,1),(168,1),(255,1),(256,1),(258,1),(339,1)}
       210:{1,3,5,6,7}:{(163,1),(164,1),(169,1),(255,1),(256,1),(272,1),(326,1)}
       211:{2,4,5,6}:{(166,1),(177,1),(239,1),(257,1),(258,1),(271,1),(325,1)}
       212:{2,3,4,5,7}:{(165,1),(170,1),(179,1),(241,1),(259,1),(260,1),(267,1),(343,1),(344,1),(389,1),(410,1)}
       213:{3,4,6}:{(165,1),(166,1),(257,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(172,1),(181,1),(243,1),(258,1),(261,1),(410,1)}
       215:{3,6,7}:{(168,1),(174,1)}
       216:{2,4,6,7}:{(169,1),(176,1),(256,1),(262,1),(263,1),(347,1)}
       217:{1,3,4,5}:{(170,1),(187,1),(249,1),(265,1),(266,1),(279,1),(333,1)}
       218:{2,3,4,6}:{(170,1),(171,1),(173,1),(188,1),(250,1),(266,1),(267,1),(348,1),(408,1)}
       219:{3,4,7}:{(171,1),(172,1),(174,1)}
       220:{1,3,5,6}:{(173,1),(175,1),(266,1),(268,1),(269,1)}
       221:{2,3,5,7}:{(173,1),(174,1),(176,1),(262,1),(267,1),(269,1),(409,1)}
       222:{1,4,5,7}:{(175,1),(176,1),(263,1),(269,1),(281,1),(335,1),(352,1),(382,1)}
       223:{1,2,3,6}:{(178,1),(270,1),(277,1),(353,1)}
       224:{1,3,5,6}:{(177,1),(180,1),(257,1),(271,1),(272,1)}
       225:{1,4,5,7}:{(177,1),(181,1),(258,1),(272,1),(382,1)}
       226:{1,2,4,7}:{(178,1),(186,1),(270,1),(273,1)}
       227:{1,4,5,7}:{(179,1),(183,1),(187,1),(275,1),(281,1),(352,1)}
       228:{2,4,6}:{(179,1),(180,1),(184,1),(271,1),(275,1)}
       229:{1,3,4,6,7}:{(180,1),(181,1),(185,1),(189,1),(261,1),(272,1),(276,1)}
       230:{1,2,5,7}:{(182,1),(183,1),(190,1),(277,1)}
       231:{1,3,6}:{(183,1),(184,1),(275,1),(277,1)}
       232:{2,3,6,7}:{(184,1),(185,1),(192,1),(276,1),(278,1),(347,1)}
       233:{1,3,4}:{(186,1),(264,1),(279,1)}
       234:{1,2,4,5}:{(186,1),(187,1),(190,1),(265,1),(279,1),(280,1)}
       235:{1,4,6}:{(187,1),(188,1),(191,1),(281,1)}
       236:{2,4,7}:{(188,1),(189,1),(192,1),(281,1)}
       237:{1,2,5,6}:{(190,1),(191,1),(268,1),(277,1),(280,1),(282,1)}
       238:{1,3,5,7}:{(191,1),(192,1),(278,1),(281,1),(282,1),(352,1),(355,1)}
       239:{1,4,5,6}:{(194,1),(211,1),(284,1),(285,1),(316,1)}
       240:{1,2,3,5,7}:{(196,1),(201,1),(283,1),(286,1),(290,1),(357,1),(360,1)}
       241:{2,4,5,7}:{(193,1),(198,1),(202,1),(287,1),(288,1),(296,1),(359,1)}
       242:{1,3,4,6}:{(193,1),(194,1),(199,1),(213,1),(284,1),(288,1)}
       243:{1,4,6,7}:{(194,1),(195,1),(204,1),(214,1),(285,1),(405,1)}
       244:{1,2,4,7}:{(196,1),(197,1),(205,1),(290,1)}
       245:{1,3,5,7}:{(197,1),(198,1),(206,1),(287,1),(290,1),(291,1)}
       246:{2,3,6}:{(198,1),(199,1),(288,1),(291,1)}
       247:{1,3,6,7}:{(199,1),(200,1),(208,1),(215,1),(292,1),(402,1)}
       248:{1,2,4}:{(201,1),(293,1)}
       249:{1,4,5}:{(202,1),(206,1),(295,1)}
       250:{2,4,6}:{(202,1),(203,1),(207,1),(295,1),(296,1)}
       251:{1,3,4,7}:{(203,1),(204,1),(208,1),(219,1),(296,1),(405,1),(412,1)}
       252:{1,2,5}:{(205,1),(206,1)}
       253:{1,3,5,6}:{(206,1),(207,1),(291,1),(295,1),(297,1),(298,1),(358,1),(364,1)}
       254:{2,3,5,7}:{(207,1),(208,1),(292,1),(296,1),(298,1),(313,1),(359,1),(375,1)}
       255:{3,5,6,7}:{(209,1),(215,1),(300,1),(304,1)}
       256:{2,5,6,7}:{(210,1),(216,1),(302,1),(317,1),(359,1)}
       257:{3,5,6}:{(211,1),(213,1),(304,1)}
       258:{2,4,5,7}:{(211,1),(214,1),(225,1),(285,1),(304,1),(317,1),(359,1)}
       259:{1,3,4,5,7}:{(212,1),(217,1),(227,1),(287,1),(306,1),(307,1),(312,1),(318,1),(360,1),(372,1),(376,1),(395,1),(399,1),(405,1),(411,1),(412,1)}
       260:{2,3,4,6}:{(212,1),(213,1),(228,1),(288,1),(303,1),(307,1),(373,1),(403,1)}
       261:{3,4,6,7}:{(213,1),(214,1),(215,1),(219,1),(304,1),(402,1),(412,1)}
       262:{2,3,6,7}:{(215,1),(216,1),(221,1),(309,1),(402,1)}
       263:{1,4,6,7}:{(216,1),(222,1),(302,1),(309,1)}
       264:{2,3,4}:{(233,1),(293,1),(310,1)}
       265:{2,4,5}:{(217,1),(310,1),(311,1)}
       266:{1,3,4,6}:{(217,1),(218,1),(220,1),(235,1),(295,1),(311,1),(312,1),(322,1),(364,1)}
       267:{2,3,4,7}:{(218,1),(219,1),(221,1),(236,1),(296,1),(312,1),(375,1),(412,1)}
       268:{2,5,6}:{(220,1),(311,1),(313,1)}
       269:{1,3,5,7}:{(220,1),(221,1),(222,1),(309,1),(312,1),(313,1)}
       270:{1,2,4,6}:{(223,1),(226,1),(314,1),(315,1)}
       271:{2,5,6}:{(224,1),(228,1),(316,1),(317,1)}
       272:{1,3,5,7}:{(224,1),(225,1),(229,1),(304,1),(317,1)}
       273:{1,3,4,7}:{(226,1),(233,1),(305,1),(314,1),(318,1),(405,1)}
       274:{1,2,4,5,7}:{(226,1),(227,1),(230,1),(234,1),(306,1),(315,1),(318,1),(319,1),(323,1),(376,1),(378,1),(405,1)}
       275:{1,4,6}:{(227,1),(228,1),(231,1),(316,1)}
       276:{2,4,6,7}:{(228,1),(229,1),(232,1),(236,1),(317,1),(320,1)}
       277:{1,2,6}:{(230,1),(231,1)}
       278:{1,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5}:{(233,1),(234,1),(310,1),(322,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(237,1),(311,1),(322,1),(323,1)}
       281:{1,4,7}:{(235,1),(236,1),(238,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(313,1),(321,1),(323,1)}
       283:{1,2,3,6}:{(240,1),(324,1),(331,1),(383,1)}
       284:{1,3,5,6}:{(239,1),(242,1),(257,1),(325,1),(326,1)}
       285:{1,4,5,7}:{(239,1),(243,1),(258,1),(326,1),(352,1)}
       286:{1,2,4,7}:{(240,1),(248,1),(324,1),(327,1)}
       287:{1,4,5,7}:{(241,1),(245,1),(249,1),(329,1),(335,1),(382,1)}
       288:{2,4,6}:{(241,1),(242,1),(246,1),(325,1),(329,1)}
       289:{1,3,4,6,7}:{(242,1),(243,1),(247,1),(251,1),(261,1),(326,1),(330,1)}
       290:{1,2,5,7}:{(244,1),(245,1),(252,1),(331,1)}
       291:{1,3,6}:{(245,1),(246,1),(329,1),(331,1)}
       292:{2,3,6,7}:{(246,1),(247,1),(254,1),(330,1),(332,1),(347,1)}
       293:{1,3,4}:{(248,1),(264,1),(333,1)}
       294:{1,2,4,5}:{(248,1),(249,1),(252,1),(265,1),(333,1),(334,1)}
       295:{1,4,6}:{(249,1),(250,1),(253,1),(335,1)}
       296:{2,4,7}:{(250,1),(251,1),(254,1),(335,1)}
       297:{1,2,5,6}:{(252,1),(253,1),(268,1),(331,1),(334,1),(336,1)}
       298:{1,3,5,7}:{(253,1),(254,1),(332,1),(335,1),(336,1),(382,1),(385,1)}
       299:{3,4,5,6}:{(257,1),(337,1),(338,1),(408,1)}
       300:{3,4,6,7}:{(255,1),(338,1),(339,1)}
       301:{2,3,5,6,7}:{(255,1),(256,1),(262,1),(339,1),(340,1),(343,1)}
       302:{1,5,6,7}:{(256,1),(263,1),(352,1),(382,1)}
       303:{2,3,5,6}:{(257,1),(260,1),(271,1),(325,1),(337,1),(342,1),(343,1)}
       304:{3,5,7}:{(257,1),(258,1),(261,1)}
       305:{2,3,4,7}:{(264,1),(273,1),(327,1),(341,1),(344,1),(410,1)}
       306:{2,4,5,7}:{(259,1),(265,1),(344,1),(345,1),(349,1),(389,1),(391,1),(410,1)}
       307:{1,3,4,6}:{(259,1),(260,1),(275,1),(329,1),(342,1),(345,1),(353,1),(383,1),(393,1),(406,1),(408,1)}
       308:{2,3,4,6,7}:{(260,1),(261,1),(262,1),(267,1),(276,1),(330,1),(339,1),(343,1),(346,1),(392,1),(410,1)}
       309:{1,3,6,7}:{(262,1),(263,1),(269,1),(347,1)}
       310:{2,3,5}:{(264,1),(265,1),(279,1),(333,1),(348,1)}
       311:{2,4,6}:{(265,1),(266,1),(268,1),(348,1),(349,1)}
       312:{1,3,4,7}:{(266,1),(267,1),(269,1),(281,1),(335,1),(349,1),(355,1),(385,1)}
       313:{2,5,7}:{(268,1),(269,1),(347,1),(349,1)}
       314:{1,3,4,6}:{(270,1),(273,1),(341,1),(350,1),(353,1),(393,1)}
       315:{1,2,5}:{(270,1),(350,1)}
       316:{1,5,6}:{(271,1),(275,1),(352,1)}
       317:{2,5,7}:{(271,1),(272,1),(276,1),(352,1)}
       318:{1,3,5,7}:{(273,1),(274,1),(279,1),(344,1),(350,1),(353,1),(355,1)}
       319:{1,2,4,6}:{(274,1),(275,1),(277,1),(345,1),(351,1),(353,1),(393,1)}
       320:{1,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(352,1)}
       321:{1,2,6,7}:{(277,1),(278,1),(282,1),(347,1)}
       322:{1,3,6}:{(279,1),(280,1),(348,1),(355,1)}
       323:{1,2,4,7}:{(280,1),(281,1),(282,1),(349,1),(355,1)}
       324:{1,2,4,6}:{(283,1),(286,1),(356,1),(357,1)}
       325:{2,5,6}:{(284,1),(288,1),(358,1),(359,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(304,1),(359,1)}
       327:{1,3,4,7}:{(286,1),(293,1),(305,1),(356,1),(360,1),(411,1)}
       328:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(294,1),(306,1),(357,1),(360,1),(361,1),(365,1),(395,1),(397,1),(411,1)}
       329:{1,4,6}:{(287,1),(288,1),(291,1),(358,1)}
       330:{2,4,6,7}:{(288,1),(289,1),(292,1),(296,1),(359,1),(362,1)}
       331:{1,2,6}:{(290,1),(291,1)}
       332:{1,3,6,7}:{(291,1),(292,1),(298,1),(362,1),(363,1)}
       333:{1,3,5}:{(293,1),(294,1),(310,1),(364,1)}
       334:{1,2,4,6}:{(294,1),(295,1),(297,1),(311,1),(364,1),(365,1)}
       335:{1,4,7}:{(295,1),(296,1),(298,1)}
       336:{1,2,5,7}:{(297,1),(298,1),(313,1),(363,1),(365,1)}
       337:{2,4,5,6}:{(299,1),(303,1),(366,1),(367,1),(403,1)}
       338:{3,4,5,7}:{(299,1),(300,1),(304,1),(367,1),(412,1)}
       339:{2,4,6,7}:{(300,1),(301,1),(367,1),(368,1)}
       340:{1,3,5,6,7}:{(301,1),(302,1),(309,1),(368,1),(369,1),(372,1),(402,1)}
       341:{2,3,4,6}:{(305,1),(314,1),(356,1),(370,1),(373,1),(403,1)}
       342:{1,3,5,6}:{(303,1),(307,1),(316,1),(358,1),(366,1),(371,1),(372,1),(400,1)}
       343:{2,3,5,7}:{(303,1),(304,1),(308,1),(317,1),(359,1),(367,1),(372,1)}
       344:{2,3,5,7}:{(305,1),(306,1),(310,1),(318,1),(360,1),(370,1),(373,1),(375,1)}
       345:{2,4,6}:{(306,1),(307,1),(371,1),(373,1)}
       346:{1,3,4,6,7}:{(307,1),(308,1),(309,1),(312,1),(320,1),(362,1),(368,1),(372,1),(374,1),(379,1),(398,1),(402,1),(405,1),(411,1),(412,1)}
       347:{2,6,7}:{(309,1),(313,1)}
       348:{2,3,6}:{(310,1),(311,1),(322,1),(364,1),(375,1)}
       349:{2,4,7}:{(311,1),(312,1),(313,1),(375,1)}
       350:{1,3,5}:{(314,1),(315,1),(370,1),(376,1)}
       351:{1,2,5,6}:{(315,1),(316,1),(319,1),(371,1),(377,1),(378,1)}
       352:{1,5,7}:{(316,1),(317,1),(320,1)}
       353:{1,3,6}:{(318,1),(319,1),(373,1)}
       354:{1,2,4,6,7}:{(319,1),(320,1),(321,1),(323,1),(374,1),(378,1),(379,1),(405,1)}
       355:{1,3,7}:{(322,1),(323,1),(375,1)}
       356:{1,3,4,6}:{(324,1),(327,1),(341,1),(380,1),(383,1),(406,1)}
       357:{1,2,5}:{(324,1),(380,1)}
       358:{1,5,6}:{(325,1),(329,1),(382,1)}
       359:{2,5,7}:{(325,1),(326,1),(330,1),(382,1)}
       360:{1,3,5,7}:{(327,1),(328,1),(333,1),(344,1),(380,1),(383,1),(385,1)}
       361:{1,2,4,6}:{(328,1),(329,1),(331,1),(345,1),(381,1),(383,1),(406,1)}
       362:{1,4,6,7}:{(329,1),(330,1),(332,1),(335,1),(382,1)}
       363:{1,2,6,7}:{(331,1),(332,1),(336,1),(347,1)}
       364:{1,3,6}:{(333,1),(334,1),(348,1),(385,1)}
       365:{1,2,4,7}:{(334,1),(335,1),(336,1),(349,1),(385,1)}
       366:{1,4,5,6}:{(337,1),(342,1),(386,1),(387,1),(393,1),(406,1)}
       367:{2,4,5,7}:{(337,1),(338,1),(339,1),(343,1),(387,1),(410,1)}
       368:{1,4,6,7}:{(339,1),(340,1),(387,1),(388,1)}
       369:{2,5,6,7}:{(340,1),(347,1),(388,1),(391,1)}
       370:{2,3,5}:{(341,1),(350,1),(380,1),(389,1)}
       371:{2,5,6}:{(342,1),(345,1),(391,1)}
       372:{1,3,5,7}:{(342,1),(343,1),(346,1),(352,1),(382,1),(387,1),(391,1),(409,1)}
       373:{2,3,6}:{(344,1),(345,1),(353,1),(383,1)}
       374:{2,4,6,7}:{(345,1),(346,1),(347,1),(349,1),(391,1),(392,1),(410,1)}
       375:{2,3,7}:{(348,1),(349,1),(355,1),(385,1)}
       376:{1,4,5}:{(350,1),(389,1),(393,1)}
       377:{1,3,5,6}:{(350,1),(351,1),(353,1),(390,1),(393,1),(394,1)}
       378:{1,2,5,7}:{(351,1),(352,1),(354,1),(391,1),(394,1)}
       379:{1,3,6,7}:{(353,1),(354,1),(355,1),(392,1),(394,1)}
       380:{1,3,5}:{(356,1),(357,1),(370,1),(395,1)}
       381:{1,2,5,6}:{(357,1),(358,1),(361,1),(371,1),(396,1),(397,1)}
       382:{1,5,7}:{(358,1),(359,1),(362,1)}
       383:{1,3,6}:{(360,1),(361,1),(373,1)}
       384:{1,2,4,6,7}:{(361,1),(362,1),(363,1),(365,1),(374,1),(397,1),(398,1),(411,1)}
       385:{1,3,7}:{(364,1),(365,1),(375,1)}
       386:{2,4,5,6}:{(366,1),(371,1),(400,1),(401,1),(403,1)}
       387:{1,4,5,7}:{(366,1),(367,1),(368,1),(372,1),(401,1),(405,1),(411,1)}
       388:{2,4,6,7}:{(368,1),(369,1),(401,1),(402,1)}
       389:{2,4,5}:{(370,1),(376,1),(395,1),(399,1),(403,1)}
       390:{2,3,5,6}:{(370,1),(371,1),(373,1),(377,1),(396,1),(400,1),(403,1),(404,1)}
       391:{2,5,7}:{(371,1),(372,1),(374,1)}
       392:{2,3,6,7}:{(373,1),(374,1),(375,1),(379,1),(398,1),(402,1),(404,1)}
       393:{1,4,6}:{(376,1),(377,1),(403,1),(405,1)}
       394:{1,3,5,7}:{(377,1),(378,1),(379,1),(404,1),(405,1)}
       395:{1,4,5}:{(380,1),(389,1),(406,1)}
       396:{1,3,5,6}:{(380,1),(381,1),(383,1),(390,1),(406,1),(407,1)}
       397:{1,2,5,7}:{(381,1),(382,1),(384,1),(391,1),(407,1)}
       398:{1,3,6,7}:{(383,1),(384,1),(385,1),(392,1),(407,1)}
       399:{3,4,5}:{(389,1),(408,1)}
       400:{3,5,6}:{(386,1),(408,1),(409,1)}
       401:{2,4,5,7}:{(386,1),(387,1),(388,1),(391,1),(409,1),(410,1)}
       402:{3,6,7}:{(388,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(393,1),(406,1),(408,1),(410,1)}
       404:{2,3,5,7}:{(390,1),(391,1),(392,1),(394,1),(407,1),(409,1),(410,1)}
       405:{1,4,7}:{(393,1),(394,1),(410,1)}
       406:{1,4,6}:{(395,1),(396,1),(403,1),(411,1)}
       407:{1,3,5,7}:{(396,1),(397,1),(398,1),(404,1),(411,1)}
       408:{3,4,6}:{(399,1),(400,1),(403,1),(412,1)}
       409:{3,5,7}:{(400,1),(401,1),(402,1),(412,1)}
       410:{2,4,7}:{(403,1),(404,1),(405,1),(411,1),(412,1)}
       411:{1,4,7}:{(406,1),(407,1),(410,1)}
       412:{3,4,7}:{(408,1),(409,1),(410,1)}

2313 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(76,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(60,1),(87,1),(93,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(56,1),(99,1)}
         7:{1,2,3,7}:{(2,1),(19,1),(63,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(59,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(60,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(68,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(112,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(68,1),(83,1),(107,1),(112,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(79,1),(116,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(36,1),(37,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(38,1),(40,1),(81,1),(83,1)}
        21:{1,2,5}:{(8,1),(38,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(83,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(90,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(86,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(87,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(49,1),(50,1),(99,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(50,1),(125,1),(138,1)}
        30:{2,3,4,6}:{(15,1),(20,1),(43,1),(51,1),(53,1),(56,1),(97,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(49,1),(54,1),(55,1),(94,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(50,1),(52,1),(55,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(56,1)}
        34:{2,4,6}:{(16,1),(17,1),(54,1),(56,1),(57,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(55,1),(57,1),(63,1),(90,1),(103,1),(121,1),(125,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(51,1),(58,1),(63,1),(103,1)}
        37:{1,2,5,7}:{(19,1),(21,1),(58,1),(59,1)}
        38:{1,3,5}:{(20,1),(21,1),(53,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(54,1),(59,1),(61,1),(62,1)}
        40:{1,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        41:{1,2,4,7}:{(23,1),(57,1),(62,1),(63,1),(103,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(64,1),(65,1)}
        43:{1,3,4,6}:{(25,1),(26,1),(30,1),(64,1),(66,1),(68,1),(105,1),(107,1)}
        44:{1,2,5}:{(25,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(68,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(67,1),(68,1),(69,1),(107,1)}
        47:{4,5,6,7}:{(70,1),(139,1)}
        48:{3,4,6,7}:{(29,1),(70,1),(71,1)}
        49:{1,4,5,6}:{(28,1),(31,1),(72,1),(73,1),(83,1),(107,1),(117,1),(129,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(32,1),(71,1),(73,1),(116,1),(134,1)}
        51:{2,3,4,7}:{(30,1),(36,1),(64,1),(74,1),(79,1),(116,1)}
        52:{2,3,6,7}:{(32,1),(71,1),(75,1)}
        53:{2,3,5}:{(30,1),(38,1),(66,1),(76,1)}
        54:{2,5,6}:{(31,1),(34,1),(78,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(75,1),(78,1),(113,1)}
        56:{2,3,6}:{(33,1),(34,1),(40,1),(68,1),(79,1)}
        57:{2,4,7}:{(34,1),(35,1),(78,1),(79,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(80,1),(81,1)}
        59:{1,2,6}:{(37,1),(81,1)}
        60:{1,4,5}:{(38,1),(76,1),(83,1)}
        61:{1,3,5,6}:{(38,1),(39,1),(40,1),(77,1),(81,1),(83,1),(84,1),(117,1)}
        62:{1,2,5,7}:{(39,1),(41,1),(78,1),(82,1),(84,1)}
        63:{1,3,7}:{(40,1),(41,1),(79,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(51,1),(85,1),(90,1),(121,1)}
        65:{1,2,5,7}:{(42,1),(44,1),(85,1),(86,1)}
        66:{1,3,5}:{(43,1),(44,1),(53,1),(87,1)}
        67:{1,2,5,6}:{(44,1),(46,1),(54,1),(86,1),(88,1),(89,1)}
        68:{1,3,6}:{(45,1),(46,1),(56,1),(90,1)}
        69:{1,2,4,7}:{(46,1),(57,1),(89,1),(90,1),(121,1)}
        70:{3,5,6,7}:{(47,1),(48,1),(91,1),(138,1)}
        71:{2,4,6,7}:{(48,1),(50,1),(52,1),(91,1),(92,1)}
        72:{2,4,5,6}:{(49,1),(54,1),(94,1),(95,1),(99,1),(126,1),(136,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(55,1),(92,1),(95,1),(103,1),(121,1),(128,1),(135,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(58,1),(85,1),(96,1),(97,1)}
        75:{1,3,6,7}:{(52,1),(55,1),(92,1),(98,1),(124,1)}
        76:{2,4,5}:{(53,1),(60,1),(87,1),(93,1),(99,1)}
        77:{2,3,5,6}:{(53,1),(54,1),(56,1),(61,1),(88,1),(94,1),(97,1),(99,1),(100,1),(126,1)}
        78:{2,5,7}:{(54,1),(55,1),(57,1),(98,1)}
        79:{2,3,7}:{(56,1),(57,1),(63,1),(90,1)}
        80:{1,4,5,7}:{(58,1),(60,1),(96,1),(101,1),(103,1),(128,1)}
        81:{1,3,6}:{(58,1),(59,1),(97,1),(101,1)}
        82:{1,2,6,7}:{(59,1),(62,1),(98,1),(102,1)}
        83:{1,4,6}:{(60,1),(61,1),(99,1),(103,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(63,1),(100,1),(102,1),(103,1),(128,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(66,1),(74,1),(104,1),(105,1)}
        86:{1,2,6}:{(65,1),(105,1)}
        87:{1,4,5}:{(66,1),(76,1),(107,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(68,1),(77,1),(105,1),(107,1),(108,1),(129,1)}
        89:{1,2,5,7}:{(67,1),(69,1),(78,1),(106,1),(108,1)}
        90:{1,3,7}:{(68,1),(69,1),(79,1)}
        91:{2,5,6,7}:{(70,1),(71,1),(109,1),(134,1)}
        92:{1,4,6,7}:{(71,1),(73,1),(75,1),(109,1),(111,1)}
        93:{3,4,5}:{(76,1),(112,1)}
        94:{3,5,6}:{(72,1),(112,1),(113,1)}
        95:{2,4,5,7}:{(72,1),(73,1),(78,1),(111,1),(113,1),(116,1),(134,1),(139,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(80,1),(104,1),(110,1),(114,1),(116,1),(134,1)}
        97:{2,3,6}:{(74,1),(81,1),(105,1),(114,1)}
        98:{2,6,7}:{(75,1),(78,1)}
        99:{2,4,6}:{(76,1),(77,1),(83,1),(107,1),(112,1),(116,1)}
       100:{2,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(108,1),(113,1),(115,1),(116,1),(134,1)}
       101:{1,4,6}:{(80,1),(81,1),(114,1),(117,1)}
       102:{1,3,6,7}:{(81,1),(82,1),(84,1),(115,1),(118,1)}
       103:{1,4,7}:{(83,1),(84,1),(116,1)}
       104:{1,4,5,7}:{(85,1),(87,1),(96,1),(119,1),(121,1),(135,1)}
       105:{1,3,6}:{(85,1),(86,1),(97,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(89,1),(98,1),(120,1)}
       107:{1,4,6}:{(87,1),(88,1),(99,1),(121,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(90,1),(100,1),(120,1),(121,1),(135,1)}
       109:{1,5,6,7}:{(91,1),(92,1),(122,1),(128,1),(135,1)}
       110:{3,4,5,7}:{(93,1),(96,1),(123,1),(125,1),(138,1)}
       111:{2,4,6,7}:{(92,1),(95,1),(98,1),(122,1),(124,1),(137,1)}
       112:{3,4,6}:{(93,1),(94,1),(99,1),(125,1)}
       113:{3,5,7}:{(94,1),(95,1),(124,1),(125,1)}
       114:{2,4,6}:{(96,1),(97,1),(101,1),(119,1),(123,1),(126,1)}
       115:{2,3,6,7}:{(97,1),(98,1),(100,1),(102,1),(120,1),(124,1),(127,1)}
       116:{2,4,7}:{(99,1),(100,1),(103,1),(121,1),(125,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(105,1),(114,1),(129,1)}
       120:{1,3,6,7}:{(105,1),(106,1),(108,1),(115,1),(130,1)}
       121:{1,4,7}:{(107,1),(108,1),(116,1)}
       122:{2,5,6,7}:{(109,1),(111,1),(131,1),(134,1)}
       123:{3,4,6}:{(110,1),(114,1),(132,1)}
       124:{3,6,7}:{(111,1),(113,1)}
       125:{3,4,7}:{(112,1),(113,1),(116,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(132,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(133,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6,7}:{(122,1),(124,1),(137,1),(138,1)}
       132:{3,5,6}:{(123,1),(126,1),(136,1),(138,1)}
       133:{3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(132,1),(139,1)}
       137:{4,6,7}:{(131,1),(139,1)}
       138:{3,5,7}:{(132,1),(133,1),(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2314 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2315 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(138,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(18,1),(25,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(39,1),(139,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(29,1),(39,1)}
        11:{1,2,4,5,6}:{(8,1),(18,1),(19,1),(25,1),(40,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(22,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(55,1),(129,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(23,1),(25,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(24,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(14,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(16,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(34,1)}
        21:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(35,1),(36,1),(71,1),(119,1),(141,1)}
        22:{2,3,4,6}:{(12,1),(14,1),(28,1),(34,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(35,1),(37,1)}
        24:{1,3,4,7}:{(14,1),(16,1),(29,1),(36,1)}
        25:{1,2,5,6}:{(15,1),(37,1),(39,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(150,1),(152,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(54,1),(87,1)}
        28:{2,3,5,6}:{(18,1),(22,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(24,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(47,1)}
        32:{1,2,4,5}:{(20,1),(47,1),(49,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(51,1),(86,1),(108,1),(131,1)}
        34:{1,3,4,6}:{(20,1),(22,1),(42,1),(49,1),(51,1)}
        35:{2,3,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{2,3,4,7}:{(22,1),(24,1),(43,1),(51,1)}
        37:{1,3,5,6}:{(23,1),(25,1),(52,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(24,1),(26,1),(44,1),(53,1),(55,1),(79,1),(145,1),(148,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(55,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(34,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(150,1)}
        46:{1,2,3,4,7}:{(31,1),(63,1),(64,1),(121,1)}
        47:{1,2,3,5}:{(31,1),(32,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(95,1),(99,1),(121,1)}
        49:{1,2,4,6}:{(32,1),(34,1),(59,1),(65,1),(67,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(66,1),(68,1)}
        51:{1,3,4,7}:{(34,1),(36,1),(60,1),(67,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(68,1),(70,1),(71,1)}
        53:{2,3,4,6,7}:{(35,1),(36,1),(38,1),(61,1),(69,1),(71,1),(94,1),(136,1),(141,1)}
        54:{1,4,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(49,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(51,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(55,1),(78,1),(79,1),(144,1),(145,1)}
        63:{1,2,3,4,6}:{(46,1),(80,1),(81,1),(109,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,6}:{(47,1),(49,1),(82,1)}
        66:{1,2,4,6}:{(48,1),(50,1),(81,1),(83,1)}
        67:{1,2,4,7}:{(49,1),(51,1),(76,1),(82,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(83,1),(85,1),(86,1)}
        69:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(77,1),(84,1),(86,1),(106,1),(127,1),(131,1)}
        70:{2,4,5,6}:{(52,1),(54,1),(85,1),(87,1),(88,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(88,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(67,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(71,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,5}:{(63,1),(95,1)}
        81:{1,2,3,6}:{(64,1),(66,1)}
        82:{1,2,3,7}:{(65,1),(67,1)}
        83:{1,2,5,6}:{(66,1),(68,1),(99,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(92,1),(97,1),(99,1),(121,1)}
        85:{1,4,5,6}:{(68,1),(70,1),(101,1)}
        86:{1,3,5,7}:{(68,1),(69,1),(71,1),(99,1),(101,1)}
        87:{3,4,5,6}:{(70,1),(102,1)}
        88:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(101,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(144,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(86,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(88,1),(106,1),(107,1)}
        95:{1,2,4,5}:{(80,1),(108,1),(109,1)}
        96:{1,2,3,5,6}:{(80,1),(81,1),(83,1),(109,1),(110,1),(111,1)}
        97:{1,2,3,6,7}:{(81,1),(82,1),(84,1),(110,1),(127,1)}
        98:{1,2,4,5,6}:{(83,1),(85,1),(109,1),(111,1),(112,1),(113,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(86,1)}
       100:{1,3,4,5,6}:{(85,1),(87,1),(111,1),(113,1),(114,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(99,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(101,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,3,4,5}:{(95,1),(119,1),(120,1)}
       109:{1,2,4,6}:{(95,1),(96,1),(120,1),(121,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(99,1),(121,1),(123,1)}
       111:{1,3,5,6}:{(98,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(121,1),(123,1),(125,1)}
       113:{2,4,5,6}:{(100,1),(122,1),(124,1),(125,1)}
       114:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(123,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(112,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(114,1),(126,1),(127,1),(128,1)}
       119:{2,3,4,5}:{(108,1),(129,1),(130,1)}
       120:{1,3,4,6}:{(108,1),(109,1),(111,1),(130,1),(131,1)}
       121:{1,2,4,7}:{(109,1),(110,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(113,1),(130,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(111,1),(112,1),(127,1),(131,1),(133,1)}
       124:{1,4,5,6}:{(113,1),(132,1),(134,1)}
       125:{2,4,5,7}:{(113,1),(114,1),(128,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(123,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(125,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,5}:{(119,1),(139,1),(140,1)}
       130:{2,3,4,6}:{(119,1),(120,1),(122,1),(140,1),(141,1)}
       131:{1,3,4,7}:{(120,1),(121,1),(123,1),(141,1)}
       132:{1,3,5,6}:{(122,1),(124,1),(140,1),(142,1),(143,1)}
       133:{2,3,5,7}:{(122,1),(123,1),(125,1),(136,1),(141,1),(143,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(143,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(144,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(133,1),(145,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(144,1),(145,1)}
       138:{1,2,3,4}:{(146,1)}
       139:{1,2,4,5}:{(129,1),(146,1),(147,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{2,3,4,7}:{(130,1),(131,1),(133,1),(148,1)}
       142:{1,2,5,6}:{(132,1),(147,1),(149,1)}
       143:{1,3,5,7}:{(132,1),(133,1),(134,1),(145,1),(148,1),(149,1)}
       144:{1,5,6,7}:{(135,1),(137,1)}
       145:{1,3,6,7}:{(136,1),(137,1),(143,1),(150,1)}
       146:{1,2,3,5}:{(138,1),(139,1),(151,1)}
       147:{1,2,4,6}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,2,5,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2316 :   0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(120,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(17,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(135,1),(151,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(26,1),(29,1),(121,1),(146,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(16,1),(37,1),(43,1),(103,1),(137,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(13,1),(14,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(17,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
        10:{1,2,3,6,7}:{(5,1),(15,1),(18,1),(75,1),(151,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(58,1),(85,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(27,1),(51,1),(61,1),(83,1),(123,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(23,1)}
        14:{1,2,5,6}:{(7,1),(23,1),(26,1)}
        15:{1,2,4,6,7}:{(7,1),(10,1),(24,1),(26,1),(29,1),(146,1),(153,1)}
        16:{1,3,4,5}:{(8,1),(27,1),(28,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(28,1),(29,1)}
        18:{1,2,3,5,7}:{(9,1),(10,1),(26,1),(29,1),(57,1)}
        19:{1,2,3,4,6}:{(11,1),(31,1),(32,1),(65,1)}
        20:{1,2,3,5,7}:{(11,1),(30,1),(31,1),(32,1),(78,1),(116,1)}
        21:{1,3,4,5,7}:{(12,1),(30,1),(33,1),(41,1),(64,1),(68,1),(80,1),(105,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(33,1),(34,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(34,1),(36,1),(37,1)}
        24:{1,3,4,6,7}:{(13,1),(15,1),(35,1),(37,1),(43,1),(72,1),(75,1),(137,1),(149,1)}
        25:{1,2,4,5,6}:{(14,1),(17,1),(36,1),(39,1),(40,1),(73,1)}
        26:{1,2,5,7}:{(14,1),(15,1),(37,1)}
        27:{2,3,4,5}:{(16,1),(41,1),(42,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{1,2,4,7}:{(17,1),(18,1),(43,1)}
        30:{1,2,4,5,7}:{(20,1),(21,1),(44,1),(45,1),(59,1),(82,1),(85,1),(99,1)}
        31:{1,2,3,5}:{(19,1),(45,1)}
        32:{1,2,3,6}:{(20,1),(44,1)}
        33:{1,3,4,6}:{(21,1),(22,1),(44,1),(48,1)}
        34:{2,3,5,6}:{(22,1),(23,1),(48,1),(50,1),(51,1)}
        35:{2,3,4,6,7}:{(22,1),(24,1),(49,1),(51,1),(61,1),(89,1),(95,1),(123,1),(142,1)}
        36:{1,4,5,6}:{(23,1),(50,1),(54,1)}
        37:{1,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(54,1)}
        38:{1,2,5,6,7}:{(26,1),(52,1),(55,1),(129,1),(153,1)}
        39:{1,3,5,6}:{(25,1),(28,1),(56,1),(57,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(54,1),(55,1),(57,1),(94,1)}
        41:{1,3,4,5}:{(27,1),(59,1),(60,1)}
        42:{2,3,4,6}:{(27,1),(28,1),(56,1),(60,1),(61,1)}
        43:{1,3,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        44:{1,2,4,6}:{(30,1),(32,1),(33,1),(62,1)}
        45:{1,2,4,5}:{(31,1),(64,1),(65,1)}
        46:{1,2,3,5,6}:{(31,1),(32,1),(62,1),(65,1),(66,1),(101,1)}
        47:{1,2,3,6,7}:{(32,1),(63,1),(66,1),(116,1),(132,1)}
        48:{1,3,5,6}:{(33,1),(34,1),(62,1),(67,1),(68,1)}
        49:{1,3,4,6,7}:{(33,1),(35,1),(63,1),(68,1),(80,1),(105,1),(106,1),(114,1),(132,1)}
        50:{2,4,5,6}:{(34,1),(36,1),(67,1),(70,1),(71,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(68,1),(71,1)}
        52:{1,3,5,6,7}:{(37,1),(38,1),(69,1),(72,1),(75,1),(149,1),(152,1)}
        53:{1,3,4,5,6}:{(36,1),(39,1),(70,1),(73,1),(74,1)}
        54:{1,4,5,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,4,6,7}:{(38,1),(40,1),(72,1),(75,1),(112,1)}
        56:{2,3,5,6}:{(39,1),(42,1),(73,1),(76,1),(77,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(43,1),(75,1),(77,1)}
        58:{1,2,3,4}:{(78,1)}
        59:{1,2,4,5}:{(41,1),(78,1),(79,1)}
        60:{1,3,4,6}:{(41,1),(42,1),(76,1),(79,1),(80,1)}
        61:{2,3,4,7}:{(42,1),(43,1),(77,1),(80,1)}
        62:{1,2,5,6}:{(44,1),(48,1),(82,1)}
        63:{1,2,4,6,7}:{(44,1),(47,1),(49,1),(82,1),(85,1),(99,1),(131,1)}
        64:{1,3,4,5}:{(45,1),(83,1),(84,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(84,1),(85,1)}
        66:{1,2,3,5,7}:{(46,1),(47,1),(82,1),(85,1),(119,1)}
        67:{1,4,5,6}:{(48,1),(50,1),(88,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(51,1),(82,1),(88,1)}
        69:{2,3,5,6,7}:{(51,1),(52,1),(86,1),(89,1),(95,1),(128,1),(129,1),(142,1),(147,1)}
        70:{3,4,5,6}:{(50,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(88,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(54,1),(89,1)}
        73:{2,4,5,6}:{(53,1),(56,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(53,1),(54,1),(57,1),(90,1),(92,1),(94,1)}
        75:{1,3,6,7}:{(55,1),(57,1),(95,1)}
        76:{1,3,5,6}:{(56,1),(60,1),(93,1),(96,1),(97,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(94,1),(95,1),(97,1)}
        78:{1,2,3,5}:{(58,1),(59,1),(98,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(96,1),(98,1),(99,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(97,1),(99,1)}
        81:{1,2,4,5,6}:{(62,1),(65,1),(67,1),(101,1),(102,1),(107,1)}
        82:{1,2,5,7}:{(62,1),(63,1),(68,1)}
        83:{2,3,4,5}:{(64,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(64,1),(65,1),(101,1),(104,1),(105,1)}
        85:{1,2,4,7}:{(65,1),(66,1),(105,1)}
        86:{1,3,5,6,7}:{(68,1),(69,1),(100,1),(106,1),(114,1),(132,1),(141,1)}
        87:{1,3,4,5,6}:{(67,1),(70,1),(101,1),(107,1),(108,1)}
        88:{1,4,5,7}:{(67,1),(68,1),(71,1),(106,1)}
        89:{2,4,6,7}:{(69,1),(71,1),(72,1),(106,1),(110,1)}
        90:{3,4,5,7}:{(70,1),(71,1),(110,1)}
        91:{1,4,5,6,7}:{(72,1),(109,1),(111,1),(152,1)}
        92:{1,3,4,6,7}:{(72,1),(74,1),(75,1),(110,1),(111,1),(112,1)}
        93:{1,4,5,6}:{(73,1),(76,1),(113,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,6,7}:{(75,1),(77,1),(112,1),(114,1)}
        96:{1,2,5,6}:{(76,1),(79,1),(115,1)}
        97:{1,3,5,7}:{(76,1),(77,1),(80,1),(113,1),(114,1),(115,1)}
        98:{1,2,3,6}:{(78,1),(79,1),(116,1)}
        99:{1,2,4,7}:{(79,1),(80,1),(115,1),(116,1)}
       100:{1,2,5,6,7}:{(82,1),(86,1),(117,1),(131,1),(147,1)}
       101:{1,3,5,6}:{(81,1),(84,1),(118,1),(119,1)}
       102:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(88,1),(117,1),(119,1),(127,1)}
       103:{1,3,4,5}:{(83,1),(121,1),(122,1)}
       104:{2,3,4,6}:{(83,1),(84,1),(118,1),(122,1),(123,1)}
       105:{1,3,4,7}:{(84,1),(85,1),(119,1),(123,1)}
       106:{1,4,6,7}:{(86,1),(88,1),(89,1)}
       107:{2,4,5,6}:{(87,1),(118,1),(126,1),(127,1)}
       108:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(119,1),(125,1),(127,1)}
       109:{2,4,5,6,7}:{(89,1),(91,1),(124,1),(128,1),(129,1),(147,1)}
       110:{3,4,6,7}:{(89,1),(90,1),(128,1)}
       111:{1,3,5,6,7}:{(91,1),(92,1),(128,1),(129,1)}
       112:{2,4,6,7}:{(92,1),(94,1),(95,1),(129,1),(130,1)}
       113:{1,4,5,7}:{(93,1),(94,1),(97,1),(130,1)}
       114:{1,3,6,7}:{(95,1),(97,1),(130,1),(131,1)}
       115:{1,2,5,7}:{(96,1),(97,1),(99,1),(131,1)}
       116:{1,2,3,7}:{(98,1),(99,1)}
       117:{1,2,4,6,7}:{(100,1),(102,1),(106,1),(132,1),(139,1)}
       118:{2,3,5,6}:{(101,1),(104,1),(107,1),(133,1),(134,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(105,1),(132,1),(134,1)}
       120:{1,2,3,4}:{(135,1)}
       121:{1,2,4,5}:{(103,1),(135,1),(136,1)}
       122:{1,3,4,6}:{(103,1),(104,1),(133,1),(136,1),(137,1)}
       123:{2,3,4,7}:{(104,1),(105,1),(134,1),(137,1)}
       124:{1,4,5,6,7}:{(106,1),(109,1),(138,1),(141,1)}
       125:{1,3,4,6,7}:{(106,1),(108,1),(110,1),(132,1),(138,1),(139,1)}
       126:{1,4,5,6}:{(107,1),(133,1),(140,1)}
       127:{2,4,5,7}:{(107,1),(108,1),(134,1),(139,1),(140,1)}
       128:{3,5,6,7}:{(109,1),(110,1)}
       129:{2,5,6,7}:{(111,1),(112,1),(141,1)}
       130:{1,4,6,7}:{(112,1),(113,1),(114,1),(141,1)}
       131:{1,2,6,7}:{(114,1),(115,1)}
       132:{1,3,6,7}:{(117,1),(119,1),(142,1)}
       133:{1,3,5,6}:{(118,1),(122,1),(126,1),(143,1),(144,1)}
       134:{2,3,5,7}:{(118,1),(119,1),(123,1),(127,1),(142,1),(144,1)}
       135:{1,2,3,5}:{(120,1),(121,1),(145,1)}
       136:{1,2,4,6}:{(121,1),(122,1),(143,1),(145,1),(146,1)}
       137:{1,3,4,7}:{(122,1),(123,1),(144,1),(146,1)}
       138:{1,3,5,6,7}:{(124,1),(125,1),(128,1),(147,1)}
       139:{2,4,6,7}:{(125,1),(127,1),(142,1),(147,1),(148,1)}
       140:{1,4,5,7}:{(126,1),(127,1),(144,1),(148,1)}
       141:{1,5,6,7}:{(129,1),(130,1)}
       142:{2,3,6,7}:{(132,1),(134,1),(139,1),(149,1)}
       143:{1,2,5,6}:{(133,1),(136,1),(150,1)}
       144:{1,3,5,7}:{(133,1),(134,1),(137,1),(140,1),(149,1),(150,1)}
       145:{1,2,3,6}:{(135,1),(136,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(150,1),(151,1)}
       147:{2,5,6,7}:{(138,1),(139,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(152,1)}
       149:{1,3,6,7}:{(142,1),(144,1),(148,1),(153,1)}
       150:{1,2,5,7}:{(143,1),(144,1),(146,1),(153,1)}
       151:{1,2,3,7}:{(145,1),(146,1)}
       152:{1,5,6,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(149,1),(150,1)}

2317 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(100,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(68,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(111,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(68,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(65,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(83,1),(121,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(50,1),(101,1),(120,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(50,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(47,1),(55,1),(83,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(50,1),(82,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(114,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(95,1),(114,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(66,1),(89,1),(113,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(68,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(62,1),(70,1),(95,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(71,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(58,1),(68,1),(88,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(42,1),(43,1),(103,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(43,1),(44,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1),(75,1),(80,1),(103,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(44,1),(45,1),(46,1)}
        30:{2,3,5}:{(16,1),(18,1),(45,1),(47,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(46,1)}
        32:{1,4,5}:{(18,1),(47,1),(50,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(48,1),(50,1),(51,1),(108,1),(120,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(49,1),(51,1),(118,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(51,1),(55,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(46,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(52,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(49,1),(53,1),(55,1),(83,1)}
        39:{1,4,5,6}:{(24,1),(50,1),(54,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(55,1),(56,1),(86,1)}
        41:{1,3,5,6,7}:{(40,1),(57,1),(58,1),(88,1)}
        42:{1,2,3,5}:{(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(28,1),(59,1),(60,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        45:{1,3,5}:{(28,1),(30,1),(60,1),(62,1)}
        46:{1,3,6}:{(29,1),(31,1),(36,1),(61,1)}
        47:{2,4,5}:{(30,1),(32,1),(62,1),(65,1),(66,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(63,1),(66,1),(67,1),(71,1),(97,1),(113,1)}
        49:{2,3,6,7}:{(31,1),(34,1),(38,1),(64,1),(67,1),(88,1),(110,1)}
        50:{1,4,6}:{(32,1),(33,1),(66,1),(68,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(35,1),(67,1),(68,1),(117,1),(124,1)}
        52:{1,5,6}:{(36,1),(37,1),(70,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(64,1),(70,1),(95,1)}
        54:{2,4,5,6}:{(37,1),(39,1),(66,1),(69,1),(71,1),(72,1),(97,1)}
        55:{2,5,7}:{(37,1),(38,1),(40,1),(70,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(72,1),(117,1)}
        57:{2,5,6,7}:{(41,1),(55,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(118,1)}
        59:{1,2,4}:{(42,1),(75,1)}
        60:{1,2,5}:{(43,1),(45,1)}
        61:{1,2,6}:{(44,1),(46,1)}
        62:{1,4,5}:{(45,1),(47,1),(80,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(52,1),(77,1),(80,1),(81,1),(103,1)}
        64:{1,3,6,7}:{(46,1),(49,1),(53,1),(78,1),(81,1)}
        65:{3,4,5}:{(47,1),(82,1)}
        66:{2,4,6}:{(47,1),(48,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(81,1),(83,1),(86,1),(109,1),(121,1)}
        68:{1,4,7}:{(50,1),(51,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(54,1),(80,1),(84,1),(85,1)}
        70:{1,5,7}:{(52,1),(53,1),(55,1)}
        71:{3,5,6}:{(54,1),(82,1),(86,1)}
        72:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(83,1),(85,1),(86,1),(109,1)}
        73:{1,5,6,7}:{(57,1),(70,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(72,1),(87,1),(88,1),(110,1)}
        75:{1,3,4}:{(59,1),(89,1),(90,1)}
        76:{1,2,4,5}:{(59,1),(60,1),(62,1),(90,1),(91,1),(93,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(63,1),(91,1),(92,1),(97,1)}
        78:{1,2,6,7}:{(61,1),(64,1),(92,1),(110,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(90,1),(93,1),(94,1)}
        80:{1,4,6}:{(62,1),(63,1),(66,1),(95,1)}
        81:{1,3,5,7}:{(63,1),(64,1),(67,1),(70,1),(92,1),(95,1),(114,1)}
        82:{3,4,6}:{(65,1),(66,1),(71,1),(96,1)}
        83:{2,4,7}:{(66,1),(67,1),(68,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(69,1),(71,1),(94,1),(97,1),(98,1)}
        85:{1,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(95,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(85,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{2,3,4}:{(75,1),(101,1),(102,1)}
        90:{1,3,5}:{(75,1),(76,1),(102,1),(103,1)}
        91:{1,2,4,6}:{(76,1),(77,1),(80,1),(103,1),(104,1),(106,1)}
        92:{1,2,5,7}:{(77,1),(78,1),(81,1),(104,1),(109,1)}
        93:{2,4,5}:{(79,1),(102,1),(105,1),(106,1)}
        94:{1,3,4,6}:{(79,1),(80,1),(82,1),(84,1),(103,1),(106,1),(107,1)}
        95:{1,4,7}:{(80,1),(81,1),(83,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{2,5,6}:{(84,1),(106,1),(108,1),(109,1)}
        98:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(107,1),(109,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(98,1),(110,1)}
       100:{1,2,3}:{(111,1)}
       101:{1,3,4}:{(89,1),(111,1),(112,1)}
       102:{2,3,5}:{(89,1),(90,1),(93,1),(112,1),(113,1)}
       103:{1,3,6}:{(90,1),(91,1),(113,1),(114,1)}
       104:{1,2,4,7}:{(91,1),(92,1),(95,1),(114,1),(116,1)}
       105:{1,4,5}:{(93,1),(112,1),(115,1)}
       106:{2,4,6}:{(93,1),(94,1),(97,1),(113,1),(115,1),(116,1)}
       107:{1,3,4,7}:{(94,1),(95,1),(96,1),(98,1),(114,1),(116,1)}
       108:{1,5,6}:{(97,1),(115,1),(117,1)}
       109:{2,5,7}:{(97,1),(98,1),(110,1),(116,1),(117,1)}
       110:{2,6,7}:{(99,1),(109,1),(118,1)}
       111:{1,2,4}:{(100,1),(101,1),(119,1)}
       112:{1,3,5}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{2,3,6}:{(102,1),(103,1),(106,1),(120,1),(121,1)}
       114:{1,3,7}:{(103,1),(104,1),(121,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(120,1),(122,1)}
       116:{2,4,7}:{(106,1),(107,1),(109,1),(121,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(118,1),(122,1)}
       118:{1,6,7}:{(110,1),(117,1)}
       119:{1,2,5}:{(111,1),(112,1),(123,1)}
       120:{1,3,6}:{(112,1),(113,1),(115,1),(123,1),(124,1)}
       121:{2,3,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,4,7}:{(115,1),(116,1),(117,1),(124,1)}
       123:{1,2,6}:{(119,1),(120,1),(125,1)}
       124:{1,3,7}:{(120,1),(121,1),(122,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2318 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(147,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(24,1),(29,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(138,1),(152,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(17,1),(44,1),(128,1),(145,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(40,1),(44,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,3,4}:{(19,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(22,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(59,1),(116,1),(136,1)}
        15:{1,2,4,5,6}:{(7,1),(24,1),(27,1),(29,1),(45,1),(60,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(29,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(58,1),(152,1)}
        19:{1,2,3,5}:{(11,1),(31,1),(32,1)}
        20:{1,2,3,4,7}:{(11,1),(33,1),(34,1),(101,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(35,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(75,1),(103,1),(126,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,7}:{(13,1),(16,1),(38,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(39,1),(42,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(145,1),(153,1)}
        29:{1,2,5,6}:{(17,1),(42,1),(44,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(60,1),(93,1)}
        31:{1,2,4,5}:{(19,1),(21,1),(47,1)}
        32:{1,2,3,6}:{(19,1),(47,1),(49,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(48,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,4,6}:{(20,1),(50,1),(51,1),(86,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(47,1),(52,1),(53,1)}
        36:{1,3,4,5,7}:{(21,1),(23,1),(48,1),(53,1),(54,1),(87,1),(89,1),(114,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(25,1),(53,1),(55,1)}
        39:{2,3,4,6}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(27,1),(55,1),(58,1)}
        41:{1,3,4,6,7}:{(25,1),(26,1),(28,1),(56,1),(58,1),(59,1),(94,1),(136,1),(150,1)}
        42:{1,3,5,6}:{(26,1),(29,1),(57,1),(59,1),(60,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(59,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(35,1),(65,1),(66,1)}
        48:{1,2,4,5,7}:{(31,1),(33,1),(36,1),(66,1),(67,1),(70,1),(99,1),(101,1)}
        49:{1,2,3,7}:{(32,1),(66,1)}
        50:{1,2,3,6}:{(33,1),(67,1)}
        51:{1,2,3,5}:{(34,1),(70,1)}
        52:{1,3,5,6}:{(35,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,7}:{(35,1),(38,1),(66,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(39,1),(67,1),(73,1)}
        55:{2,3,5,7}:{(37,1),(38,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(74,1),(75,1),(107,1),(126,1),(142,1)}
        57:{2,3,5,6}:{(39,1),(42,1),(73,1),(75,1),(76,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(75,1),(78,1)}
        60:{1,4,5,6}:{(42,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(47,1),(52,1),(82,1)}
        66:{1,2,4,7}:{(47,1),(49,1),(53,1),(82,1)}
        67:{1,2,4,6}:{(48,1),(50,1),(54,1),(84,1)}
        68:{1,2,3,6,7}:{(49,1),(50,1),(83,1),(85,1),(133,1)}
        69:{1,2,3,5,6}:{(50,1),(51,1),(84,1),(85,1),(86,1),(113,1)}
        70:{1,2,4,5}:{(51,1),(86,1),(87,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(83,1),(88,1),(89,1),(114,1),(117,1),(133,1)}
        73:{1,3,5,6}:{(54,1),(57,1),(84,1),(89,1),(90,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(59,1),(89,1),(92,1)}
        76:{2,4,5,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(92,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(71,1),(98,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(98,1),(99,1),(101,1)}
        84:{1,2,5,6}:{(67,1),(73,1),(99,1)}
        85:{1,2,3,5,7}:{(68,1),(69,1),(99,1),(101,1),(124,1)}
        86:{1,2,4,6}:{(69,1),(70,1),(101,1),(102,1)}
        87:{1,3,4,5}:{(70,1),(102,1),(103,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,3,5,7}:{(72,1),(73,1),(75,1),(99,1),(105,1)}
        90:{1,4,5,6}:{(73,1),(76,1),(105,1)}
        91:{2,3,5,6,7}:{(74,1),(75,1),(77,1),(96,1),(104,1),(107,1),(122,1),(141,1),(142,1)}
        92:{2,4,5,7}:{(75,1),(76,1),(78,1),(105,1),(107,1),(108,1)}
        93:{3,4,5,6}:{(76,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(89,1)}
       100:{1,2,4,5,6}:{(84,1),(86,1),(90,1),(112,1),(113,1),(119,1)}
       101:{1,2,4,7}:{(85,1),(86,1),(114,1)}
       102:{1,3,4,6}:{(86,1),(87,1),(113,1),(114,1),(115,1)}
       103:{2,3,4,5}:{(87,1),(115,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(109,1),(111,1),(117,1),(133,1)}
       105:{1,4,5,7}:{(89,1),(90,1),(92,1),(117,1)}
       106:{1,3,4,5,6}:{(90,1),(93,1),(113,1),(118,1),(119,1)}
       107:{2,4,6,7}:{(91,1),(92,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(141,1)}
       111:{1,2,5,6,7}:{(98,1),(99,1),(104,1),(123,1),(141,1)}
       112:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(105,1),(123,1),(124,1),(130,1)}
       113:{1,3,5,6}:{(100,1),(102,1),(124,1),(125,1)}
       114:{1,3,4,7}:{(101,1),(102,1),(124,1),(126,1)}
       115:{2,3,4,6}:{(102,1),(103,1),(125,1),(126,1),(127,1)}
       116:{1,3,4,5}:{(103,1),(127,1),(128,1)}
       117:{1,4,6,7}:{(104,1),(105,1),(107,1)}
       118:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(124,1),(129,1),(130,1)}
       119:{2,4,5,6}:{(106,1),(125,1),(130,1),(131,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(132,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(133,1),(139,1)}
       124:{1,3,5,7}:{(112,1),(113,1),(114,1),(133,1),(134,1)}
       125:{2,3,5,6}:{(113,1),(115,1),(119,1),(134,1),(135,1)}
       126:{2,3,4,7}:{(114,1),(115,1),(134,1),(136,1)}
       127:{1,3,4,6}:{(115,1),(116,1),(135,1),(136,1),(137,1)}
       128:{1,2,4,5}:{(116,1),(137,1),(138,1)}
       129:{1,3,4,6,7}:{(117,1),(118,1),(120,1),(132,1),(133,1),(139,1)}
       130:{2,4,5,7}:{(118,1),(119,1),(134,1),(139,1),(140,1)}
       131:{1,4,5,6}:{(119,1),(135,1),(140,1)}
       132:{1,3,5,6,7}:{(121,1),(122,1),(129,1),(141,1)}
       133:{1,3,6,7}:{(123,1),(124,1),(142,1)}
       134:{2,3,5,7}:{(124,1),(125,1),(126,1),(130,1),(142,1),(143,1)}
       135:{1,3,5,6}:{(125,1),(127,1),(131,1),(143,1),(144,1)}
       136:{1,3,4,7}:{(126,1),(127,1),(143,1),(145,1)}
       137:{1,2,4,6}:{(127,1),(128,1),(144,1),(145,1),(146,1)}
       138:{1,2,3,5}:{(128,1),(146,1),(147,1)}
       139:{2,4,6,7}:{(129,1),(130,1),(141,1),(142,1),(148,1)}
       140:{1,4,5,7}:{(130,1),(131,1),(143,1),(148,1)}
       141:{2,5,6,7}:{(132,1),(139,1),(149,1)}
       142:{2,3,6,7}:{(133,1),(134,1),(139,1),(150,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(140,1),(150,1),(151,1)}
       144:{1,2,5,6}:{(135,1),(137,1),(151,1)}
       145:{1,2,4,7}:{(136,1),(137,1),(151,1),(152,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,3,4}:{(138,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(141,1),(148,1)}
       150:{1,3,6,7}:{(142,1),(143,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(143,1),(144,1),(145,1),(153,1)}
       152:{1,2,3,7}:{(145,1),(146,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2319 :   0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(146,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(136,1),(151,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(25,1),(27,1),(122,1),(144,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(18,1),(36,1),(41,1),(105,1),(134,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,3,6,7}:{(4,1),(14,1),(16,1),(74,1),(151,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(40,1)}
        10:{1,2,4,5}:{(5,1),(17,1),(18,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(82,1),(99,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(29,1),(50,1),(58,1),(84,1),(120,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(144,1),(153,1)}
        15:{1,2,5,6}:{(7,1),(24,1),(25,1)}
        16:{1,2,3,5,7}:{(8,1),(9,1),(25,1),(27,1),(56,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
        18:{1,3,4,5}:{(10,1),(28,1),(29,1)}
        19:{1,2,3,5,7}:{(11,1),(30,1),(31,1),(32,1),(79,1),(116,1)}
        20:{1,2,3,4,6}:{(11,1),(31,1),(32,1),(64,1)}
        21:{1,3,4,5,7}:{(12,1),(30,1),(33,1),(43,1),(65,1),(66,1),(77,1),(103,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(33,1),(35,1)}
        23:{1,3,4,6,7}:{(13,1),(14,1),(34,1),(36,1),(41,1),(71,1),(74,1),(134,1),(149,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(35,1),(36,1),(37,1)}
        25:{1,2,5,7}:{(14,1),(15,1),(36,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(37,1),(39,1),(40,1),(73,1)}
        27:{1,2,4,7}:{(16,1),(17,1),(41,1)}
        28:{1,3,4,6}:{(17,1),(18,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,5}:{(18,1),(42,1),(43,1)}
        30:{1,2,4,5,7}:{(19,1),(21,1),(44,1),(47,1),(60,1),(80,1),(82,1),(97,1)}
        31:{1,2,3,6}:{(19,1),(44,1)}
        32:{1,2,3,5}:{(20,1),(47,1)}
        33:{1,3,4,6}:{(21,1),(22,1),(44,1),(49,1)}
        34:{2,3,4,6,7}:{(22,1),(23,1),(48,1),(50,1),(58,1),(88,1),(94,1),(120,1),(141,1)}
        35:{2,3,5,6}:{(22,1),(24,1),(49,1),(50,1),(51,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(50,1),(53,1)}
        37:{1,4,5,6}:{(24,1),(51,1),(53,1)}
        38:{1,2,5,6,7}:{(25,1),(52,1),(55,1),(128,1),(153,1)}
        39:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(55,1),(56,1),(92,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(56,1),(58,1)}
        42:{2,3,4,6}:{(28,1),(29,1),(57,1),(58,1),(59,1)}
        43:{1,3,4,5}:{(29,1),(59,1),(60,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(33,1),(62,1)}
        45:{1,2,3,6,7}:{(31,1),(61,1),(63,1),(116,1),(131,1)}
        46:{1,2,3,5,6}:{(31,1),(32,1),(62,1),(63,1),(64,1),(102,1)}
        47:{1,2,4,5}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(77,1),(103,1),(106,1),(114,1),(131,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(62,1),(66,1),(67,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(36,1),(66,1),(69,1)}
        51:{2,4,5,6}:{(35,1),(37,1),(67,1),(69,1),(70,1)}
        52:{1,3,5,6,7}:{(36,1),(38,1),(68,1),(71,1),(74,1),(149,1),(152,1)}
        53:{1,4,5,7}:{(36,1),(37,1),(69,1),(71,1)}
        54:{1,3,4,5,6}:{(37,1),(40,1),(70,1),(72,1),(73,1)}
        55:{1,2,4,6,7}:{(38,1),(39,1),(71,1),(74,1),(112,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(74,1),(75,1)}
        57:{2,3,5,6}:{(40,1),(42,1),(73,1),(75,1),(76,1)}
        58:{2,3,4,7}:{(41,1),(42,1),(75,1),(77,1)}
        59:{1,3,4,6}:{(42,1),(43,1),(76,1),(77,1),(78,1)}
        60:{1,2,4,5}:{(43,1),(78,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(80,1),(82,1),(97,1),(130,1)}
        62:{1,2,5,6}:{(44,1),(49,1),(80,1)}
        63:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(82,1),(118,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(82,1),(83,1)}
        65:{1,3,4,5}:{(47,1),(83,1),(84,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(80,1),(86,1)}
        67:{1,4,5,6}:{(49,1),(51,1),(86,1)}
        68:{2,3,5,6,7}:{(50,1),(52,1),(85,1),(88,1),(94,1),(127,1),(128,1),(141,1),(147,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(53,1),(86,1),(88,1),(89,1)}
        70:{3,4,5,6}:{(51,1),(89,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(88,1)}
        72:{1,3,4,5,7}:{(53,1),(54,1),(56,1),(89,1),(91,1),(92,1)}
        73:{2,4,5,6}:{(54,1),(57,1),(92,1),(93,1)}
        74:{1,3,6,7}:{(55,1),(56,1),(94,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(58,1),(92,1),(94,1),(95,1)}
        76:{1,3,5,6}:{(57,1),(59,1),(93,1),(95,1),(96,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(95,1),(97,1)}
        78:{1,2,4,6}:{(59,1),(60,1),(96,1),(97,1),(98,1)}
        79:{1,2,3,5}:{(60,1),(98,1),(99,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(66,1)}
        81:{1,2,4,5,6}:{(62,1),(64,1),(67,1),(101,1),(102,1),(108,1)}
        82:{1,2,4,7}:{(63,1),(64,1),(103,1)}
        83:{1,3,4,6}:{(64,1),(65,1),(102,1),(103,1),(104,1)}
        84:{2,3,4,5}:{(65,1),(104,1),(105,1)}
        85:{1,3,5,6,7}:{(66,1),(68,1),(100,1),(106,1),(114,1),(131,1),(140,1)}
        86:{1,4,5,7}:{(66,1),(67,1),(69,1),(106,1)}
        87:{1,3,4,5,6}:{(67,1),(70,1),(102,1),(107,1),(108,1)}
        88:{2,4,6,7}:{(68,1),(69,1),(71,1),(106,1),(110,1)}
        89:{3,4,5,7}:{(69,1),(70,1),(110,1)}
        90:{1,4,5,6,7}:{(71,1),(109,1),(111,1),(152,1)}
        91:{1,3,4,6,7}:{(71,1),(72,1),(74,1),(110,1),(111,1),(112,1)}
        92:{2,4,5,7}:{(72,1),(73,1),(75,1),(112,1),(113,1)}
        93:{1,4,5,6}:{(73,1),(76,1),(113,1)}
        94:{2,3,6,7}:{(74,1),(75,1),(112,1),(114,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(77,1),(113,1),(114,1),(115,1)}
        96:{1,2,5,6}:{(76,1),(78,1),(115,1)}
        97:{1,2,4,7}:{(77,1),(78,1),(115,1),(116,1)}
        98:{1,2,3,6}:{(78,1),(79,1),(116,1)}
        99:{1,2,3,4}:{(79,1)}
       100:{1,2,5,6,7}:{(80,1),(85,1),(117,1),(130,1),(147,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(86,1),(117,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(81,1),(83,1),(118,1),(119,1)}
       103:{1,3,4,7}:{(82,1),(83,1),(118,1),(120,1)}
       104:{2,3,4,6}:{(83,1),(84,1),(119,1),(120,1),(121,1)}
       105:{1,3,4,5}:{(84,1),(121,1),(122,1)}
       106:{1,4,6,7}:{(85,1),(86,1),(88,1)}
       107:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(118,1),(124,1),(125,1)}
       108:{2,4,5,6}:{(87,1),(119,1),(125,1),(126,1)}
       109:{2,4,5,6,7}:{(88,1),(90,1),(123,1),(127,1),(128,1),(147,1)}
       110:{3,4,6,7}:{(88,1),(89,1),(127,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(127,1),(128,1)}
       112:{2,4,6,7}:{(91,1),(92,1),(94,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(92,1),(93,1),(95,1),(129,1)}
       114:{1,3,6,7}:{(94,1),(95,1),(129,1),(130,1)}
       115:{1,2,5,7}:{(95,1),(96,1),(97,1),(130,1)}
       116:{1,2,3,7}:{(97,1),(98,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(106,1),(131,1),(138,1)}
       118:{1,3,5,7}:{(101,1),(102,1),(103,1),(131,1),(132,1)}
       119:{2,3,5,6}:{(102,1),(104,1),(108,1),(132,1),(133,1)}
       120:{2,3,4,7}:{(103,1),(104,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(104,1),(105,1),(133,1),(134,1),(135,1)}
       122:{1,2,4,5}:{(105,1),(135,1),(136,1)}
       123:{1,4,5,6,7}:{(106,1),(109,1),(137,1),(140,1)}
       124:{1,3,4,6,7}:{(106,1),(107,1),(110,1),(131,1),(137,1),(138,1)}
       125:{2,4,5,7}:{(107,1),(108,1),(132,1),(138,1),(139,1)}
       126:{1,4,5,6}:{(108,1),(133,1),(139,1)}
       127:{3,5,6,7}:{(109,1),(110,1)}
       128:{2,5,6,7}:{(111,1),(112,1),(140,1)}
       129:{1,4,6,7}:{(112,1),(113,1),(114,1),(140,1)}
       130:{1,2,6,7}:{(114,1),(115,1)}
       131:{1,3,6,7}:{(117,1),(118,1),(141,1)}
       132:{2,3,5,7}:{(118,1),(119,1),(120,1),(125,1),(141,1),(142,1)}
       133:{1,3,5,6}:{(119,1),(121,1),(126,1),(142,1),(143,1)}
       134:{1,3,4,7}:{(120,1),(121,1),(142,1),(144,1)}
       135:{1,2,4,6}:{(121,1),(122,1),(143,1),(144,1),(145,1)}
       136:{1,2,3,5}:{(122,1),(145,1),(146,1)}
       137:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(147,1)}
       138:{2,4,6,7}:{(124,1),(125,1),(141,1),(147,1),(148,1)}
       139:{1,4,5,7}:{(125,1),(126,1),(142,1),(148,1)}
       140:{1,5,6,7}:{(128,1),(129,1)}
       141:{2,3,6,7}:{(131,1),(132,1),(138,1),(149,1)}
       142:{1,3,5,7}:{(132,1),(133,1),(134,1),(139,1),(149,1),(150,1)}
       143:{1,2,5,6}:{(133,1),(135,1),(150,1)}
       144:{1,2,4,7}:{(134,1),(135,1),(150,1),(151,1)}
       145:{1,2,3,6}:{(135,1),(136,1),(151,1)}
       146:{1,2,3,4}:{(136,1)}
       147:{2,5,6,7}:{(137,1),(138,1),(152,1)}
       148:{1,4,6,7}:{(138,1),(139,1),(149,1),(152,1)}
       149:{1,3,6,7}:{(141,1),(142,1),(148,1),(153,1)}
       150:{1,2,5,7}:{(142,1),(143,1),(144,1),(153,1)}
       151:{1,2,3,7}:{(144,1),(145,1)}
       152:{1,5,6,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(149,1),(150,1)}

2320 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2321 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(40,1),(48,1),(79,1),(87,1),(89,1),(92,1),(144,1),(185,1),(189,1),(224,1),(225,1),(227,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(63,1),(105,1),(118,1),(161,1),(168,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(63,1),(67,1),(106,1),(115,1),(161,1),(167,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(60,1),(108,1),(114,1),(209,1),(236,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(41,1),(78,1),(134,1),(141,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(42,1),(92,1),(144,1),(189,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(226,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(38,1),(84,1),(87,1),(88,1),(89,1),(144,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(65,1),(103,1),(119,1),(160,1),(168,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(20,1),(24,1),(54,1),(56,1),(63,1),(103,1),(111,1),(168,1),(169,1),(209,1)}
        11:{1,4,6,7}:{(4,1),(20,1),(22,1),(166,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(24,1),(114,1),(209,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(26,1),(207,1),(210,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(63,1),(115,1),(116,1)}
        15:{1,3,4,5}:{(7,1),(28,1),(60,1),(123,1),(235,1),(236,1)}
        16:{2,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(29,1),(30,1),(60,1),(70,1),(114,1),(118,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(43,1),(76,1),(90,1),(141,1),(148,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(189,1),(220,1)}
        20:{2,4,6,7}:{(10,1),(11,1),(33,1),(35,1),(36,1),(139,1),(189,1),(192,1)}
        21:{2,3,4,6}:{(16,1),(37,1),(38,1),(39,1),(84,1),(88,1),(146,1),(193,1),(226,1)}
        22:{1,4,5,7}:{(11,1),(35,1),(40,1),(41,1),(134,1)}
        23:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(36,1),(41,1),(42,1),(44,1)}
        24:{2,3,6,7}:{(12,1),(14,1),(42,1),(43,1),(84,1),(144,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(41,1),(44,1),(45,1),(80,1),(85,1),(140,1),(150,1),(190,1),(195,1)}
        26:{2,4,7}:{(13,1),(14,1),(16,1),(46,1)}
        27:{1,3,5,7}:{(14,1),(17,1),(43,1),(46,1),(47,1),(90,1),(94,1)}
        28:{2,4,5}:{(15,1),(16,1),(38,1),(48,1),(87,1),(146,1)}
        29:{1,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{1,2,5,6}:{(17,1),(47,1),(49,1),(87,1),(144,1)}
        31:{1,2,4,5,6}:{(32,1),(50,1),(75,1),(97,1),(133,1),(147,1),(153,1),(182,1),(189,1),(194,1),(196,1),(197,1),(220,1),(227,1),(244,1)}
        32:{1,2,4,5,7}:{(19,1),(31,1),(51,1),(52,1),(100,1),(103,1),(119,1),(158,1),(167,1),(173,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(20,1),(52,1),(166,1),(173,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(209,1)}
        35:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1),(56,1),(63,1),(103,1)}
        36:{3,4,6,7}:{(20,1),(56,1),(109,1),(209,1),(210,1)}
        37:{2,3,4,7}:{(21,1),(26,1),(58,1),(59,1),(116,1),(171,1),(210,1)}
        38:{2,3,5}:{(21,1),(28,1),(60,1),(212,1),(236,1)}
        39:{1,3,4,6}:{(21,1),(29,1),(59,1),(60,1),(61,1),(70,1),(108,1),(114,1),(123,1),(165,1),(208,1)}
        40:{1,4,5,6}:{(22,1),(55,1),(62,1),(160,1),(166,1),(213,1)}
        41:{1,3,5,7}:{(22,1),(23,1),(56,1),(62,1),(63,1)}
        42:{2,4,6,7}:{(23,1),(24,1),(26,1),(63,1),(64,1),(66,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(64,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(25,1),(62,1),(66,1),(109,1),(114,1),(166,1),(209,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(28,1),(58,1),(63,1),(66,1),(67,1),(115,1),(171,1),(212,1)}
        46:{1,4,7}:{(26,1),(27,1),(29,1)}
        47:{1,2,5,7}:{(27,1),(30,1),(65,1),(68,1),(115,1)}
        48:{1,4,5}:{(28,1),(29,1),(60,1),(165,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(61,1),(68,1),(69,1),(70,1)}
        50:{1,3,5,6}:{(31,1),(51,1),(71,1),(72,1),(175,1),(201,1),(209,1),(215,1),(236,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(50,1),(73,1),(74,1),(190,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(35,1),(75,1),(76,1),(90,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(36,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{2,4,5,6}:{(35,1),(40,1),(75,1),(81,1),(89,1),(133,1),(139,1),(189,1),(227,1)}
        56:{3,5,7}:{(35,1),(36,1),(81,1)}
        57:{2,3,4,6,7}:{(36,1),(37,1),(42,1),(77,1),(82,1),(83,1),(84,1),(128,1),(139,1),(143,1),(179,1),(192,1),(193,1),(226,1),(240,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(84,1),(85,1),(190,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(94,1),(137,1),(188,1)}
        60:{1,3,5}:{(38,1),(39,1),(48,1),(87,1),(225,1)}
        61:{2,4,6}:{(39,1),(86,1),(87,1),(88,1),(144,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(41,1),(44,1),(81,1),(89,1),(195,1)}
        63:{2,5,7}:{(41,1),(42,1),(89,1),(90,1)}
        64:{1,4,6,7}:{(42,1),(43,1),(46,1),(90,1),(92,1)}
        65:{1,2,6,7}:{(43,1),(47,1),(144,1)}
        66:{2,4,6}:{(44,1),(45,1),(84,1),(89,1),(92,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(48,1),(85,1),(90,1),(92,1),(188,1),(225,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(49,1),(86,1),(94,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(87,1),(95,1),(146,1)}
        70:{1,3,6}:{(49,1),(88,1),(94,1),(95,1)}
        71:{1,3,4,6}:{(50,1),(73,1),(96,1),(97,1),(194,1),(226,1)}
        72:{2,3,5,6}:{(50,1),(74,1),(97,1),(98,1),(133,1),(151,1),(179,1),(197,1),(198,1),(220,1)}
        73:{1,3,4,7}:{(51,1),(71,1),(100,1),(173,1),(210,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(72,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(55,1),(102,1),(118,1),(166,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(56,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(61,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{3,4,5,7}:{(56,1),(109,1),(110,1),(210,1),(236,1)}
        81:{3,5,6}:{(55,1),(56,1),(109,1),(209,1),(236,1)}
        82:{2,3,5,7}:{(56,1),(57,1),(63,1),(103,1),(110,1),(111,1),(112,1),(212,1),(236,1),(243,1)}
        83:{1,3,4,6,7}:{(57,1),(59,1),(64,1),(104,1),(112,1),(113,1),(114,1),(120,1),(156,1),(162,1),(166,1),(173,1),(174,1),(201,1),(207,1),(208,1),(209,1),(210,1),(234,1),(242,1)}
        84:{2,3,6}:{(58,1),(66,1),(114,1),(209,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(114,1),(115,1)}
        86:{2,4,7}:{(59,1),(61,1),(115,1),(116,1)}
        87:{2,5}:{(60,1),(61,1)}
        88:{2,3,6}:{(61,1),(70,1),(108,1),(116,1),(117,1)}
        89:{2,5,6}:{(62,1),(63,1),(66,1),(118,1),(212,1)}
        90:{1,5,7}:{(63,1),(64,1),(118,1)}
        91:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(113,1),(119,1),(120,1),(121,1),(173,1),(200,1),(230,1),(242,1)}
        92:{1,4,6}:{(66,1),(67,1),(114,1),(118,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(115,1),(119,1),(121,1),(122,1),(167,1),(171,1),(173,1),(212,1),(213,1)}
        94:{1,3,7}:{(68,1),(70,1),(116,1)}
        95:{1,3,5}:{(69,1),(70,1),(117,1),(123,1)}
        96:{1,3,4,5}:{(71,1),(125,1),(175,1),(213,1),(217,1),(236,1)}
        97:{2,4,6}:{(71,1),(72,1),(100,1),(125,1),(126,1)}
        98:{1,3,5,6}:{(72,1),(101,1),(126,1),(127,1),(160,1),(175,1),(178,1),(201,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(96,1),(129,1),(130,1),(140,1),(180,1),(190,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(97,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(98,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(81,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(86,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(87,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(88,1),(137,1),(138,1)}
       109:{3,4,6}:{(80,1),(81,1),(139,1)}
       110:{2,4,5,7}:{(80,1),(82,1),(139,1),(140,1),(192,1),(227,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(84,1),(89,1),(133,1),(139,1),(141,1),(179,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(90,1),(134,1),(140,1),(141,1),(142,1),(190,1),(195,1),(225,1),(241,1),(244,1)}
       113:{2,4,6,7}:{(83,1),(86,1),(142,1),(143,1),(144,1),(181,1),(189,1),(192,1),(193,1),(220,1),(240,1)}
       114:{1,3,6}:{(84,1),(85,1),(92,1),(144,1)}
       115:{2,5,7}:{(85,1),(86,1),(87,1),(144,1)}
       116:{2,3,7}:{(86,1),(88,1),(94,1),(137,1)}
       117:{2,3,5}:{(87,1),(88,1),(95,1),(138,1),(146,1)}
       118:{1,5,6}:{(89,1),(90,1),(92,1),(225,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(142,1),(147,1),(148,1),(244,1)}
       120:{1,3,6,7}:{(91,1),(94,1),(143,1),(148,1),(149,1),(219,1),(238,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(144,1),(147,1),(149,1),(189,1),(193,1),(194,1)}
       122:{1,3,5,7}:{(93,1),(94,1),(95,1),(145,1),(149,1),(150,1),(190,1),(195,1)}
       123:{1,3,4}:{(95,1),(146,1)}
       124:{2,3,4,6}:{(97,1),(128,1),(151,1),(152,1),(179,1),(198,1),(226,1),(229,1),(240,1)}
       125:{2,4,5}:{(96,1),(97,1),(151,1),(153,1),(197,1),(229,1)}
       126:{1,4,6}:{(97,1),(98,1),(131,1),(153,1)}
       127:{1,2,5,6}:{(98,1),(132,1),(154,1),(197,1),(220,1)}
       128:{2,3,4,7}:{(100,1),(124,1),(155,1),(156,1),(203,1),(210,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(109,1),(157,1),(166,1),(201,1),(209,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(125,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(126,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(127,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(113,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(115,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(116,1)}
       138:{1,3,5}:{(107,1),(108,1),(117,1),(165,1)}
       139:{2,4,6}:{(109,1),(110,1),(111,1),(166,1)}
       140:{1,4,5,7}:{(110,1),(112,1),(166,1),(167,1),(173,1),(207,1),(213,1),(235,1)}
       141:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(160,1),(166,1),(168,1),(201,1),(209,1)}
       142:{2,5,7}:{(112,1),(113,1),(168,1),(212,1),(243,1)}
       143:{2,3,6,7}:{(113,1),(116,1),(120,1),(162,1),(169,1),(170,1),(203,1),(209,1),(232,1)}
       144:{2,6}:{(114,1),(115,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(122,1),(164,1),(170,1),(171,1),(212,1)}
       146:{2,4}:{(117,1),(123,1),(165,1)}
       147:{1,2,5,6}:{(118,1),(119,1),(121,1),(168,1),(172,1),(212,1),(230,1)}
       148:{1,3,5,7}:{(119,1),(120,1),(169,1),(172,1),(173,1)}
       149:{1,3,6}:{(121,1),(122,1),(170,1),(209,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(171,1),(173,1),(174,1),(210,1)}
       151:{2,3,5}:{(124,1),(125,1),(175,1),(236,1),(243,1)}
       152:{1,3,4,6}:{(124,1),(126,1),(156,1),(175,1),(176,1),(178,1),(201,1),(215,1),(217,1),(237,1),(242,1)}
       153:{1,4,5}:{(125,1),(126,1),(175,1),(237,1)}
       154:{1,2,4,6}:{(126,1),(127,1),(159,1),(176,1),(177,1),(178,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(151,1),(179,1),(180,1),(190,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(152,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(153,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(154,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(142,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(143,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(144,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(146,1)}
       166:{1,4,6}:{(139,1),(140,1),(141,1),(189,1)}
       167:{2,4,5,7}:{(140,1),(142,1),(189,1),(190,1),(192,1),(227,1)}
       168:{2,5,6}:{(141,1),(142,1),(144,1),(189,1),(220,1)}
       169:{2,3,5,7}:{(142,1),(143,1),(148,1),(186,1),(190,1),(191,1),(192,1)}
       170:{2,3,6}:{(144,1),(145,1),(149,1),(187,1),(193,1)}
       171:{2,4,7}:{(145,1),(146,1),(150,1),(188,1),(193,1)}
       172:{1,3,5,6}:{(147,1),(148,1),(149,1),(191,1),(194,1),(195,1),(238,1),(244,1)}
       173:{1,4,7}:{(148,1),(192,1),(194,1)}
       174:{1,3,4,6}:{(149,1),(150,1),(193,1),(194,1),(195,1),(226,1)}
       175:{1,3,5}:{(151,1),(152,1),(153,1),(197,1),(244,1)}
       176:{2,4,6}:{(152,1),(181,1),(197,1),(198,1),(220,1),(229,1)}
       177:{1,2,4,5}:{(153,1),(154,1),(197,1),(199,1),(229,1)}
       178:{1,3,6}:{(154,1),(184,1),(198,1),(199,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(209,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(175,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(176,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(167,1),(177,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(178,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(168,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(169,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(170,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(171,1),(208,1)}
       189:{2,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       190:{3,5,7}:{(167,1),(209,1),(210,1),(236,1)}
       191:{2,3,5,6}:{(168,1),(169,1),(170,1),(172,1),(206,1),(209,1),(211,1),(212,1),(232,1),(236,1),(243,1)}
       192:{2,4,7}:{(169,1),(173,1),(207,1),(210,1),(211,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(208,1),(212,1)}
       194:{1,4,6}:{(172,1),(173,1),(211,1),(213,1)}
       195:{1,3,5}:{(174,1),(212,1),(213,1),(236,1)}
       196:{1,2,4,6}:{(176,1),(200,1),(214,1),(215,1),(230,1),(237,1),(242,1)}
       197:{2,5}:{(175,1),(176,1)}
       198:{2,3,6}:{(176,1),(178,1),(203,1),(215,1),(216,1)}
       199:{1,3,5}:{(177,1),(178,1),(216,1),(217,1)}
       200:{1,2,4,7}:{(181,1),(196,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(197,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(198,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(189,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(190,1),(199,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(191,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(192,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(193,1),(225,1)}
       209:{3,6}:{(189,1),(190,1)}
       210:{3,4,7}:{(190,1),(192,1),(226,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(224,1),(226,1),(227,1)}
       212:{2,5}:{(193,1),(195,1),(225,1)}
       213:{1,4,5}:{(194,1),(195,1),(227,1),(244,1)}
       214:{1,2,5}:{(196,1),(197,1),(228,1),(244,1)}
       215:{1,3,6}:{(196,1),(198,1),(219,1),(228,1)}
       216:{2,3,5}:{(197,1),(198,1),(199,1),(228,1),(229,1)}
       217:{1,3,4}:{(199,1),(229,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(214,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(215,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(216,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(209,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(210,1),(217,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(211,1),(235,1)}
       225:{1,5}:{(208,1),(212,1)}
       226:{3,4,6}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4,5}:{(211,1),(212,1),(213,1),(235,1),(236,1),(243,1)}
       228:{1,3,5}:{(214,1),(215,1),(216,1),(237,1)}
       229:{2,4}:{(216,1),(217,1),(237,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(228,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(229,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(226,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(227,1),(241,1)}
       236:{3,5}:{(226,1),(227,1)}
       237:{1,4}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(237,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(236,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2322 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2323 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(14,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(22,1),(29,1),(51,1)}
         4:{1,3,4,7}:{(1,1),(6,1),(8,1),(9,1),(51,1),(120,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(121,1),(122,1)}
         6:{1,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(18,1)}
         7:{1,2,4,6}:{(3,1),(14,1),(15,1),(32,1),(39,1)}
         8:{2,3,4,7}:{(4,1),(13,1),(16,1),(17,1),(67,1),(113,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1),(115,1),(116,1)}
        10:{1,2,5}:{(5,1),(18,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(29,1),(45,1),(51,1),(58,1),(82,1)}
        12:{1,2,4,6,7}:{(7,1),(21,1),(22,1),(44,1),(51,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(19,1),(23,1),(24,1),(28,1)}
        14:{1,3,6}:{(6,1),(7,1),(24,1)}
        15:{1,2,5,6}:{(7,1),(10,1),(22,1),(25,1),(47,1),(121,1)}
        16:{1,3,4,7}:{(8,1),(23,1),(26,1),(27,1),(81,1),(104,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(24,1),(27,1),(28,1),(54,1),(106,1),(108,1)}
        18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(43,1),(61,1),(67,1)}
        20:{1,3,4,6}:{(11,1),(14,1),(32,1),(33,1),(39,1),(70,1)}
        21:{1,3,6,7}:{(12,1),(14,1),(34,1),(35,1),(123,1)}
        22:{1,2,5,7}:{(12,1),(15,1),(35,1),(61,1),(124,1)}
        23:{1,3,5,7}:{(13,1),(16,1),(31,1),(36,1),(37,1),(42,1)}
        24:{2,3,6}:{(13,1),(14,1),(32,1),(37,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(18,1),(35,1),(38,1),(39,1),(112,1),(115,1)}
        26:{1,2,4,7}:{(16,1),(36,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(16,1),(17,1),(37,1),(41,1),(42,1),(69,1),(95,1),(97,1)}
        28:{2,3,5}:{(17,1),(18,1),(42,1),(43,1)}
        29:{1,4,5}:{(18,1),(39,1),(43,1)}
        30:{1,3,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(51,1),(75,1),(82,1),(101,1)}
        31:{1,4,5,7}:{(19,1),(23,1),(46,1),(57,1),(76,1),(81,1)}
        32:{2,4,6}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        33:{1,3,5,6}:{(20,1),(45,1),(47,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(21,1),(24,1),(44,1),(49,1),(50,1),(101,1),(118,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(25,1),(50,1),(51,1),(119,1),(120,1)}
        36:{1,2,5,7}:{(23,1),(26,1),(52,1),(56,1)}
        37:{1,3,6}:{(23,1),(24,1),(46,1),(52,1)}
        38:{2,3,5,6}:{(24,1),(25,1),(28,1),(47,1),(50,1),(53,1),(54,1),(79,1),(103,1),(106,1)}
        39:{1,4,6}:{(25,1),(29,1),(51,1),(54,1)}
        40:{1,2,3,7}:{(26,1),(55,1),(104,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(52,1),(55,1),(56,1),(85,1)}
        42:{1,3,5}:{(27,1),(28,1),(56,1),(57,1)}
        43:{2,4,5}:{(28,1),(29,1),(54,1),(57,1),(58,1)}
        44:{2,4,6,7}:{(30,1),(32,1),(34,1),(60,1),(61,1),(67,1)}
        45:{1,3,5,7}:{(30,1),(33,1),(61,1),(62,1),(91,1)}
        46:{1,4,6}:{(31,1),(32,1),(37,1),(63,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1),(63,1)}
        48:{1,4,5,6}:{(33,1),(39,1),(62,1),(64,1),(112,1)}
        49:{1,3,6,7}:{(34,1),(37,1),(60,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(34,1),(35,1),(38,1),(61,1),(66,1),(67,1),(91,1),(111,1),(113,1)}
        51:{1,4,7}:{(35,1),(39,1),(67,1)}
        52:{1,2,6}:{(36,1),(37,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(42,1),(63,1),(66,1),(68,1),(69,1),(95,1)}
        54:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,3,6}:{(40,1),(41,1),(71,1),(95,1)}
        56:{1,2,5}:{(41,1),(42,1)}
        57:{1,4,5}:{(42,1),(43,1),(69,1)}
        58:{3,4,5}:{(43,1),(70,1)}
        59:{1,3,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        60:{1,4,6,7}:{(44,1),(46,1),(49,1),(76,1),(81,1)}
        61:{2,5,7}:{(44,1),(45,1),(47,1),(76,1)}
        62:{1,4,5,7}:{(45,1),(48,1),(51,1),(75,1),(77,1),(119,1)}
        63:{1,5,6}:{(46,1),(47,1),(76,1)}
        64:{2,4,5,6}:{(47,1),(48,1),(54,1),(77,1),(78,1),(79,1),(103,1)}
        65:{1,2,6,7}:{(49,1),(52,1),(80,1),(118,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(53,1),(76,1),(80,1),(81,1),(104,1)}
        67:{2,4,7}:{(50,1),(51,1),(54,1),(81,1),(82,1)}
        68:{1,2,5,6}:{(52,1),(53,1),(56,1),(80,1),(83,1),(103,1)}
        69:{1,4,6}:{(53,1),(54,1),(57,1),(81,1)}
        70:{3,4,6}:{(54,1),(58,1),(79,1),(82,1)}
        71:{1,2,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(83,1),(85,1),(86,1),(87,1)}
        73:{1,3,4,5}:{(57,1),(58,1),(84,1),(86,1),(87,1)}
        74:{2,5,6,7}:{(59,1),(61,1),(88,1),(89,1)}
        75:{1,4,6,7}:{(59,1),(62,1),(89,1),(123,1)}
        76:{1,5,7}:{(60,1),(61,1),(63,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(91,1),(111,1)}
        78:{1,4,5,6}:{(63,1),(64,1),(69,1),(90,1),(92,1)}
        79:{3,5,6}:{(64,1),(70,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(68,1),(93,1),(111,1)}
        81:{1,4,7}:{(66,1),(67,1),(69,1)}
        82:{3,4,7}:{(67,1),(70,1),(91,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(93,1),(95,1),(96,1)}
        84:{1,3,4,6}:{(69,1),(70,1),(73,1),(92,1),(94,1),(95,1),(96,1)}
        85:{1,2,4}:{(71,1),(97,1)}
        86:{1,3,5}:{(72,1),(95,1),(97,1),(98,1)}
        87:{2,4,5}:{(73,1),(96,1),(98,1),(99,1)}
        88:{1,5,6,7}:{(74,1),(76,1),(100,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(77,1),(100,1),(101,1),(118,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(100,1),(102,1)}
        91:{3,5,7}:{(77,1),(79,1),(82,1),(101,1)}
        92:{1,3,5,6}:{(78,1),(79,1),(84,1),(102,1),(103,1)}
        93:{1,2,4,7}:{(80,1),(81,1),(83,1),(104,1),(105,1)}
        94:{1,3,4,7}:{(81,1),(82,1),(84,1),(102,1),(104,1),(105,1)}
        95:{1,3,6}:{(83,1),(86,1),(104,1),(106,1)}
        96:{2,4,6}:{(84,1),(87,1),(103,1),(105,1),(106,1),(107,1)}
        97:{1,3,4}:{(85,1),(86,1),(108,1)}
        98:{2,3,5}:{(86,1),(87,1),(106,1),(108,1),(109,1)}
        99:{1,4,5}:{(87,1),(107,1),(109,1)}
       100:{1,4,6,7}:{(88,1),(89,1),(90,1),(110,1)}
       101:{3,6,7}:{(89,1),(91,1)}
       102:{1,3,5,7}:{(90,1),(91,1),(92,1),(94,1),(110,1),(111,1)}
       103:{2,5,6}:{(92,1),(96,1),(111,1),(112,1)}
       104:{1,3,7}:{(93,1),(95,1),(113,1)}
       105:{2,4,7}:{(94,1),(96,1),(111,1),(113,1),(114,1)}
       106:{2,3,6}:{(95,1),(96,1),(98,1),(113,1),(115,1)}
       107:{1,4,6}:{(96,1),(99,1),(112,1),(114,1),(115,1)}
       108:{2,3,4}:{(97,1),(98,1),(116,1)}
       109:{1,3,5}:{(98,1),(99,1),(115,1),(116,1),(117,1)}
       110:{1,3,6,7}:{(100,1),(101,1),(102,1),(118,1)}
       111:{2,5,7}:{(102,1),(103,1),(105,1),(118,1),(119,1)}
       112:{1,5,6}:{(103,1),(107,1),(119,1)}
       113:{2,3,7}:{(104,1),(105,1),(106,1),(120,1)}
       114:{1,4,7}:{(105,1),(107,1),(119,1),(120,1)}
       115:{1,3,6}:{(106,1),(107,1),(109,1),(120,1),(121,1)}
       116:{1,3,4}:{(108,1),(109,1),(122,1)}
       117:{1,2,5}:{(109,1),(121,1),(122,1)}
       118:{2,6,7}:{(110,1),(111,1),(123,1)}
       119:{1,5,7}:{(111,1),(112,1),(114,1),(123,1)}
       120:{1,3,7}:{(113,1),(114,1),(115,1),(124,1)}
       121:{1,2,6}:{(115,1),(117,1),(124,1)}
       122:{1,2,4}:{(116,1),(117,1),(125,1)}
       123:{1,6,7}:{(118,1),(119,1)}
       124:{1,2,7}:{(120,1),(121,1)}
       125:{1,2,3}:{(122,1)}

2324 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(41,1),(44,1),(76,1),(86,1),(92,1),(93,1),(145,1),(181,1),(193,1),(220,1),(221,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(68,1),(108,1),(122,1),(162,1),(171,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(25,1),(27,1),(66,1),(68,1),(104,1),(116,1),(162,1),(174,1),(206,1)}
         3:{1,3,5,6}:{(0,1),(5,1),(7,1),(8,1),(59,1),(105,1),(115,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(15,1),(45,1),(79,1),(133,1),(144,1),(186,1)}
         5:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1),(220,1),(228,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(15,1),(46,1),(93,1),(145,1),(193,1)}
         7:{1,3,5,7}:{(2,1),(3,1),(13,1),(15,1),(16,1),(135,1),(196,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(36,1),(84,1),(86,1),(91,1),(92,1),(145,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(72,1),(102,1),(126,1),(156,1),(171,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(29,1),(54,1),(60,1),(68,1),(102,1),(114,1),(171,1),(175,1),(213,1)}
        11:{1,3,4,5}:{(5,1),(24,1),(59,1),(125,1),(233,1),(237,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(25,1),(170,1),(206,1)}
        13:{1,3,4,7}:{(5,1),(7,1),(27,1),(206,1),(216,1)}
        14:{2,4,6}:{(5,1),(8,1),(24,1),(27,1),(28,1)}
        15:{1,3,6,7}:{(6,1),(7,1),(29,1),(115,1),(213,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(29,1),(30,1),(68,1),(116,1),(121,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(59,1),(71,1),(115,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(32,1),(34,1),(49,1),(74,1),(96,1),(144,1),(154,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(75,1),(180,1),(193,1),(218,1)}
        20:{1,2,4,5,6}:{(33,1),(35,1),(73,1),(81,1),(129,1),(140,1),(151,1),(180,1),(189,1),(191,1),(193,1),(198,1),(218,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(12,1),(32,1),(37,1),(38,1),(143,1),(193,1),(197,1)}
        22:{2,3,4,6}:{(14,1),(36,1),(39,1),(40,1),(84,1),(91,1),(147,1),(195,1),(228,1)}
        23:{1,3,4,5,7}:{(11,1),(13,1),(42,1),(43,1),(45,1),(85,1),(87,1),(148,1),(153,1),(196,1),(199,1)}
        24:{2,4,5}:{(11,1),(14,1),(36,1),(44,1),(86,1),(147,1)}
        25:{1,4,5,7}:{(12,1),(37,1),(41,1),(45,1),(133,1)}
        26:{1,3,4,6,7}:{(12,1),(13,1),(15,1),(38,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,4,6}:{(14,1),(17,1),(44,1),(47,1)}
        29:{2,3,6,7}:{(15,1),(16,1),(46,1),(49,1),(84,1),(145,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(47,1),(49,1),(50,1),(96,1),(98,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(86,1),(145,1)}
        32:{1,4,6,7}:{(18,1),(21,1),(51,1),(170,1),(178,1)}
        33:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(53,1),(102,1),(106,1),(126,1),(161,1),(174,1),(178,1),(204,1),(207,1)}
        34:{1,3,6,7}:{(19,1),(53,1),(54,1),(200,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(53,1),(55,1),(56,1),(166,1),(200,1),(212,1),(213,1),(237,1)}
        36:{2,3,5}:{(22,1),(24,1),(59,1),(215,1),(237,1)}
        37:{2,4,5,7}:{(21,1),(25,1),(51,1),(57,1),(60,1),(68,1),(102,1)}
        38:{3,4,6,7}:{(21,1),(60,1),(113,1),(213,1),(216,1)}
        39:{2,3,4,7}:{(22,1),(27,1),(58,1),(62,1),(121,1),(173,1),(216,1)}
        40:{1,3,4,6}:{(22,1),(28,1),(59,1),(62,1),(63,1),(71,1),(105,1),(115,1),(125,1),(159,1),(203,1)}
        41:{1,4,5,6}:{(25,1),(57,1),(64,1),(156,1),(170,1),(217,1)}
        42:{1,3,4,6}:{(23,1),(64,1),(65,1),(113,1),(115,1),(170,1),(213,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(27,1),(58,1),(65,1),(66,1),(68,1),(116,1),(173,1),(215,1)}
        44:{1,4,5}:{(24,1),(28,1),(59,1),(159,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(60,1),(64,1),(68,1)}
        46:{2,4,6,7}:{(26,1),(27,1),(29,1),(65,1),(68,1),(69,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,4,6}:{(28,1),(31,1),(63,1),(67,1),(70,1),(71,1)}
        49:{1,3,6,7}:{(29,1),(30,1),(69,1),(72,1),(115,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(70,1),(72,1),(116,1)}
        51:{1,4,5,7}:{(32,1),(37,1),(73,1),(74,1),(96,1)}
        52:{1,3,4,6,7}:{(32,1),(34,1),(38,1),(74,1),(75,1),(77,1),(128,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(35,1),(77,1),(78,1),(196,1),(225,1)}
        54:{2,3,6,7}:{(34,1),(75,1),(78,1),(79,1),(179,1),(218,1)}
        55:{1,3,4,6}:{(35,1),(77,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(82,1),(129,1),(139,1),(179,1),(189,1),(192,1),(218,1)}
        57:{2,4,5,6}:{(37,1),(41,1),(73,1),(83,1),(92,1),(129,1),(143,1),(193,1),(229,1)}
        58:{2,3,5,7}:{(36,1),(39,1),(43,1),(84,1),(85,1),(196,1)}
        59:{1,3,5}:{(36,1),(40,1),(44,1),(86,1),(221,1)}
        60:{3,5,7}:{(37,1),(38,1),(83,1)}
        61:{2,3,4,6,7}:{(38,1),(39,1),(46,1),(75,1),(84,1),(88,1),(89,1),(136,1),(143,1),(150,1),(179,1),(195,1),(197,1),(228,1),(239,1)}
        62:{1,3,4,7}:{(39,1),(40,1),(47,1),(85,1),(90,1),(98,1),(135,1),(183,1)}
        63:{2,4,6}:{(40,1),(86,1),(90,1),(91,1),(145,1),(147,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(83,1),(92,1),(199,1)}
        65:{2,4,6}:{(42,1),(43,1),(84,1),(92,1),(93,1),(145,1)}
        66:{1,4,5,7}:{(43,1),(44,1),(47,1),(85,1),(93,1),(96,1),(183,1),(221,1)}
        67:{1,2,4,5}:{(44,1),(48,1),(86,1),(95,1),(147,1)}
        68:{2,5,7}:{(45,1),(46,1),(92,1),(96,1)}
        69:{1,4,6,7}:{(46,1),(47,1),(49,1),(93,1),(96,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(90,1),(98,1)}
        71:{1,3,6}:{(48,1),(91,1),(95,1),(98,1)}
        72:{1,2,6,7}:{(49,1),(50,1),(145,1)}
        73:{1,4,5,6}:{(51,1),(57,1),(99,1),(122,1),(170,1),(233,1)}
        74:{1,3,5,7}:{(51,1),(52,1),(60,1),(99,1),(102,1)}
        75:{2,4,6,7}:{(52,1),(54,1),(102,1),(103,1),(106,1),(155,1)}
        76:{1,2,4,6}:{(63,1),(100,1),(104,1),(105,1),(157,1),(159,1),(203,1)}
        77:{1,3,4,7}:{(53,1),(55,1),(106,1),(178,1),(216,1)}
        78:{2,3,5,7}:{(53,1),(54,1),(56,1),(102,1),(106,1),(107,1),(204,1),(208,1)}
        79:{1,3,6,7}:{(54,1),(103,1),(107,1),(108,1),(200,1)}
        80:{1,3,4,5}:{(55,1),(109,1),(166,1),(211,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(106,1),(109,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(107,1),(111,1),(112,1),(156,1),(166,1),(169,1),(200,1)}
        83:{3,5,6}:{(57,1),(60,1),(113,1),(213,1),(237,1)}
        84:{2,3,6}:{(58,1),(65,1),(115,1),(213,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(62,1),(66,1),(115,1),(116,1)}
        86:{2,5}:{(59,1),(63,1)}
        87:{3,4,5,7}:{(60,1),(113,1),(118,1),(216,1),(237,1)}
        88:{2,3,5,7}:{(60,1),(61,1),(68,1),(102,1),(114,1),(118,1),(119,1),(215,1),(237,1),(243,1)}
        89:{1,3,4,6,7}:{(61,1),(62,1),(69,1),(103,1),(115,1),(119,1),(120,1),(127,1),(163,1),(164,1),(170,1),(177,1),(178,1),(200,1),(203,1),(206,1),(213,1),(216,1),(232,1),(242,1)}
        90:{2,4,7}:{(62,1),(63,1),(116,1),(121,1)}
        91:{2,3,6}:{(63,1),(71,1),(105,1),(117,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(215,1)}
        93:{1,4,6}:{(65,1),(66,1),(115,1),(122,1)}
        94:{1,2,4,5,7}:{(66,1),(67,1),(70,1),(116,1),(123,1),(124,1),(126,1),(173,1),(174,1),(178,1),(215,1),(217,1)}
        95:{1,3,5}:{(67,1),(71,1),(117,1),(125,1)}
        96:{1,5,7}:{(68,1),(69,1),(122,1)}
        97:{1,2,4,6,7}:{(69,1),(70,1),(72,1),(120,1),(123,1),(126,1),(127,1),(178,1),(207,1),(230,1),(242,1)}
        98:{1,3,7}:{(70,1),(71,1),(121,1)}
        99:{1,3,5,6}:{(73,1),(74,1),(83,1),(128,1),(129,1),(240,1)}
       100:{1,2,5}:{(76,1),(86,1),(131,1),(221,1)}
       101:{1,3,4,5,7}:{(74,1),(77,1),(80,1),(87,1),(128,1),(132,1),(148,1),(184,1),(196,1),(224,1),(240,1)}
       102:{2,5,7}:{(74,1),(75,1),(129,1),(133,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(133,1),(137,1),(180,1)}
       104:{1,2,4,7}:{(76,1),(90,1),(130,1),(135,1),(183,1)}
       105:{1,3,6}:{(76,1),(91,1),(131,1),(135,1)}
       106:{2,4,7}:{(77,1),(78,1),(81,1),(137,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(82,1),(133,1),(137,1),(138,1),(188,1)}
       108:{1,2,6,7}:{(79,1),(138,1),(218,1)}
       109:{2,4,5}:{(80,1),(81,1),(139,1),(140,1),(189,1),(227,1)}
       110:{2,3,4,6}:{(81,1),(136,1),(139,1),(141,1),(179,1),(192,1),(227,1),(228,1),(239,1)}
       111:{1,4,6}:{(81,1),(82,1),(137,1),(140,1)}
       112:{1,2,5,6}:{(82,1),(138,1),(142,1),(189,1),(218,1)}
       113:{3,4,6}:{(83,1),(87,1),(143,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(88,1),(92,1),(129,1),(143,1),(144,1),(179,1)}
       115:{1,3,6}:{(84,1),(85,1),(93,1),(145,1)}
       116:{2,5,7}:{(85,1),(86,1),(90,1),(145,1)}
       117:{2,3,5}:{(86,1),(91,1),(95,1),(131,1),(147,1)}
       118:{2,4,5,7}:{(87,1),(88,1),(143,1),(148,1),(197,1),(229,1)}
       119:{1,3,5,7}:{(88,1),(89,1),(96,1),(133,1),(144,1),(148,1),(149,1),(196,1),(199,1),(221,1),(240,1),(244,1)}
       120:{2,4,6,7}:{(89,1),(90,1),(145,1),(149,1),(150,1),(187,1),(193,1),(195,1),(197,1),(218,1),(239,1)}
       121:{2,3,7}:{(90,1),(91,1),(98,1),(135,1)}
       122:{1,5,6}:{(92,1),(93,1),(96,1),(221,1)}
       123:{1,2,4,6}:{(93,1),(94,1),(145,1),(151,1),(152,1),(193,1),(195,1),(198,1)}
       124:{1,3,5,7}:{(94,1),(95,1),(98,1),(146,1),(152,1),(153,1),(196,1),(199,1)}
       125:{1,3,4}:{(95,1),(147,1)}
       126:{1,2,5,7}:{(96,1),(97,1),(149,1),(151,1),(154,1),(244,1)}
       127:{1,3,6,7}:{(97,1),(98,1),(150,1),(152,1),(154,1),(225,1),(238,1)}
       128:{1,3,4,6}:{(99,1),(101,1),(113,1),(155,1),(170,1),(200,1),(213,1)}
       129:{2,5,6}:{(99,1),(102,1),(155,1),(156,1),(243,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(116,1),(157,1),(158,1)}
       131:{1,3,5}:{(100,1),(105,1),(117,1),(159,1)}
       132:{2,4,5,7}:{(101,1),(102,1),(106,1),(109,1),(155,1),(160,1),(161,1),(204,1),(235,1),(243,1)}
       133:{1,5,7}:{(102,1),(103,1),(156,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(108,1),(120,1),(157,1),(162,1),(163,1),(165,1),(201,1),(203,1),(206,1)}
       135:{1,3,7}:{(104,1),(105,1),(121,1)}
       136:{2,3,4,7}:{(106,1),(110,1),(160,1),(164,1),(208,1),(216,1),(235,1)}
       137:{1,4,7}:{(106,1),(107,1),(111,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(112,1),(165,1),(204,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,4,5}:{(109,1),(111,1),(166,1),(236,1)}
       141:{1,3,4,6}:{(110,1),(111,1),(164,1),(166,1),(168,1),(169,1),(200,1),(211,1),(212,1),(236,1),(242,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(165,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(118,1),(170,1)}
       144:{1,3,5,6}:{(114,1),(115,1),(119,1),(122,1),(156,1),(170,1),(171,1),(200,1),(213,1)}
       145:{2,6}:{(115,1),(116,1)}
       146:{2,3,5,7}:{(116,1),(117,1),(121,1),(124,1),(158,1),(172,1),(173,1),(215,1)}
       147:{2,4}:{(117,1),(125,1),(159,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(170,1),(174,1),(178,1),(206,1),(217,1),(233,1)}
       149:{2,5,7}:{(119,1),(120,1),(171,1),(215,1),(243,1)}
       150:{2,3,6,7}:{(120,1),(121,1),(127,1),(163,1),(172,1),(175,1),(208,1),(213,1),(231,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(126,1),(171,1),(176,1),(215,1),(230,1)}
       152:{1,3,6}:{(123,1),(124,1),(172,1),(213,1)}
       153:{1,3,4,7}:{(124,1),(125,1),(173,1),(177,1),(178,1),(216,1)}
       154:{1,3,5,7}:{(126,1),(127,1),(175,1),(176,1),(178,1)}
       155:{2,4,6}:{(128,1),(129,1),(132,1),(179,1),(180,1),(218,1)}
       156:{1,5,6}:{(129,1),(133,1),(180,1),(244,1)}
       157:{1,2,6}:{(130,1),(145,1),(182,1)}
       158:{1,3,5,7}:{(130,1),(131,1),(135,1),(146,1),(182,1),(183,1),(221,1)}
       159:{1,4}:{(131,1),(147,1)}
       160:{2,3,5,7}:{(132,1),(136,1),(139,1),(179,1),(184,1),(196,1)}
       161:{1,4,5,7}:{(132,1),(133,1),(137,1),(140,1),(180,1),(184,1),(241,1),(244,1)}
       162:{1,2,5,7}:{(133,1),(134,1),(149,1),(181,1),(186,1),(221,1)}
       163:{1,3,6,7}:{(134,1),(135,1),(150,1),(182,1),(186,1),(188,1),(219,1)}
       164:{1,3,4,7}:{(136,1),(137,1),(141,1),(184,1),(187,1),(188,1),(225,1),(241,1)}
       165:{1,2,4,7}:{(137,1),(138,1),(142,1),(187,1),(188,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(189,1),(244,1)}
       167:{1,2,4,5}:{(140,1),(142,1),(189,1),(190,1),(227,1)}
       168:{2,4,6}:{(141,1),(187,1),(189,1),(192,1),(218,1),(227,1)}
       169:{1,3,6}:{(142,1),(188,1),(190,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(148,1),(193,1)}
       171:{2,5,6}:{(144,1),(145,1),(149,1),(193,1),(218,1)}
       172:{2,3,6}:{(145,1),(146,1),(152,1),(182,1),(195,1)}
       173:{2,4,7}:{(146,1),(147,1),(153,1),(183,1),(195,1)}
       174:{2,4,5,7}:{(148,1),(149,1),(193,1),(196,1),(197,1),(229,1)}
       175:{2,3,5,7}:{(149,1),(150,1),(154,1),(186,1),(194,1),(196,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(154,1),(194,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(195,1),(198,1),(199,1),(228,1)}
       178:{1,4,7}:{(154,1),(197,1),(198,1)}
       179:{2,3,6}:{(155,1),(160,1),(200,1),(213,1)}
       180:{1,4,6}:{(155,1),(156,1),(161,1),(200,1)}
       181:{1,2,5,6}:{(156,1),(157,1),(162,1),(171,1),(201,1),(202,1),(243,1)}
       182:{1,3,6}:{(157,1),(158,1),(172,1),(203,1)}
       183:{1,4,7}:{(158,1),(159,1),(173,1),(203,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(164,1),(166,1),(200,1),(204,1)}
       185:{1,2,4,5,7}:{(161,1),(162,1),(165,1),(167,1),(174,1),(201,1),(204,1),(205,1),(206,1),(233,1),(235,1),(243,1)}
       186:{1,3,5,7}:{(162,1),(163,1),(175,1),(202,1),(206,1)}
       187:{2,4,7}:{(164,1),(168,1),(204,1),(208,1)}
       188:{1,3,7}:{(165,1),(169,1),(208,1)}
       189:{2,5}:{(166,1),(168,1)}
       190:{1,3,5}:{(167,1),(169,1),(210,1),(211,1)}
       191:{1,2,4,6}:{(168,1),(207,1),(209,1),(212,1),(230,1),(236,1),(242,1)}
       192:{2,3,6}:{(168,1),(169,1),(208,1),(210,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(174,1),(213,1)}
       194:{2,3,5,6}:{(171,1),(172,1),(175,1),(176,1),(202,1),(213,1),(214,1),(215,1),(231,1),(237,1),(243,1)}
       195:{2,4,6}:{(172,1),(173,1),(177,1),(203,1),(215,1)}
       196:{3,5,7}:{(174,1),(213,1),(216,1),(237,1)}
       197:{2,4,7}:{(175,1),(178,1),(206,1),(214,1),(216,1)}
       198:{1,4,6}:{(176,1),(178,1),(214,1),(217,1)}
       199:{1,3,5}:{(177,1),(215,1),(217,1),(237,1)}
       200:{1,3,6}:{(179,1),(180,1),(184,1),(218,1)}
       201:{1,2,4,6}:{(180,1),(181,1),(185,1),(193,1),(218,1),(219,1),(220,1),(239,1)}
       202:{1,3,5,6}:{(181,1),(182,1),(186,1),(194,1),(219,1),(220,1),(221,1),(240,1)}
       203:{1,4,6}:{(182,1),(183,1),(195,1),(221,1)}
       204:{2,5,7}:{(184,1),(187,1),(189,1),(218,1)}
       205:{1,3,5,7}:{(185,1),(188,1),(190,1),(196,1),(219,1),(223,1),(224,1),(240,1)}
       206:{1,4,7}:{(186,1),(197,1),(220,1)}
       207:{1,2,4,7}:{(187,1),(191,1),(222,1),(225,1),(241,1)}
       208:{2,3,7}:{(187,1),(188,1),(192,1),(225,1)}
       209:{1,2,5}:{(189,1),(191,1),(226,1),(244,1)}
       210:{2,3,5}:{(189,1),(190,1),(192,1),(226,1),(227,1)}
       211:{1,3,4}:{(190,1),(227,1)}
       212:{1,3,6}:{(191,1),(192,1),(225,1),(226,1)}
       213:{3,6}:{(193,1),(196,1)}
       214:{2,4,6}:{(194,1),(197,1),(198,1),(220,1),(228,1),(229,1)}
       215:{2,5}:{(195,1),(199,1),(221,1)}
       216:{3,4,7}:{(196,1),(197,1),(228,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{2,6}:{(200,1),(204,1)}
       219:{1,3,6}:{(201,1),(205,1),(213,1),(231,1)}
       220:{1,4,6}:{(202,1),(206,1),(214,1),(233,1)}
       221:{1,5}:{(203,1),(215,1)}
       222:{1,2,5,7}:{(204,1),(207,1),(209,1),(230,1),(234,1)}
       223:{2,3,5,7}:{(204,1),(205,1),(208,1),(210,1),(231,1),(234,1),(235,1),(243,1)}
       224:{1,3,4,7}:{(205,1),(206,1),(211,1),(216,1),(232,1),(235,1)}
       225:{1,3,7}:{(207,1),(208,1),(212,1)}
       226:{1,3,5}:{(209,1),(210,1),(212,1),(236,1)}
       227:{2,4}:{(210,1),(211,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(216,1),(237,1)}
       229:{2,4,5}:{(214,1),(215,1),(217,1),(233,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(222,1),(238,1)}
       231:{2,3,6}:{(218,1),(219,1),(223,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(219,1),(220,1),(224,1),(228,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(221,1),(229,1),(240,1)}
       234:{1,3,5,7}:{(222,1),(223,1),(225,1),(226,1),(238,1),(241,1),(244,1)}
       235:{2,4,7}:{(223,1),(224,1),(227,1),(239,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(234,1),(242,1)}
       239:{2,4,6}:{(231,1),(232,1),(235,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(237,1),(243,1)}
       241:{1,4,7}:{(234,1),(235,1),(236,1),(242,1)}
       242:{1,4,6}:{(238,1),(239,1),(241,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2325 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2326 :   0:{1,2,3,6,7}:{(2,1),(3,1),(54,1),(97,1),(125,1),(178,1),(405,1),(418,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(54,1),(58,1),(93,1),(178,1),(292,1),(297,1),(303,1),(416,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(89,1),(352,1),(364,1),(464,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(31,1),(141,1),(169,1),(236,1),(253,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(81,1),(134,1),(463,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(51,1),(100,1),(112,1),(196,1),(342,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(54,1),(98,1),(195,1),(296,1),(302,1),(418,1),(500,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(122,1),(500,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(222,1),(297,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(54,1),(185,1),(303,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(49,1),(297,1),(415,1)}
        11:{1,2,3,5,7}:{(5,1),(22,1),(23,1),(24,1),(65,1),(252,1),(395,1),(523,1),(527,1)}
        12:{1,2,4,6,7}:{(5,1),(21,1),(23,1),(24,1),(66,1),(83,1),(163,1),(173,1),(242,1)}
        13:{2,3,4,6,7}:{(6,1),(21,1),(25,1),(29,1),(64,1),(69,1),(85,1),(143,1),(150,1),(169,1),(242,1),(263,1),(387,1),(478,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(359,1),(361,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(29,1),(30,1),(364,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(30,1),(31,1),(76,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(31,1),(164,1),(253,1)}
        18:{2,3,4,6}:{(9,1),(29,1),(34,1),(35,1),(81,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(31,1),(36,1),(37,1),(74,1),(81,1),(161,1),(164,1),(244,1),(259,1),(360,1),(382,1),(463,1)}
        21:{1,3,4,6,7}:{(12,1),(13,1),(38,1),(40,1),(52,1),(91,1),(100,1),(124,1),(219,1),(225,1),(342,1),(442,1)}
        22:{1,2,3,5,6}:{(11,1),(39,1),(42,1),(95,1),(100,1),(112,1),(192,1),(220,1),(305,1),(340,1),(494,1),(501,1)}
        23:{1,2,4,7}:{(11,1),(39,1),(40,1),(311,1),(442,1)}
        24:{1,2,5,7}:{(12,1),(38,1),(42,1),(220,1),(299,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(43,1),(44,1),(203,1),(222,1),(299,1),(325,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(415,1),(500,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(54,1),(195,1),(298,1)}
        28:{1,3,4,5}:{(19,1),(49,1),(50,1),(415,1),(433,1)}
        29:{2,3,4,7}:{(15,1),(18,1),(52,1),(53,1),(122,1),(330,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(19,1),(53,1),(54,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(46,1),(54,1),(117,1)}
        32:{1,2,5,6,7}:{(17,1),(47,1),(55,1),(222,1),(314,1),(333,1),(417,1),(429,1)}
        33:{1,2,3,6}:{(48,1),(51,1),(56,1),(226,1)}
        34:{1,3,4,6}:{(18,1),(52,1),(56,1),(57,1),(119,1),(121,1),(124,1),(226,1)}
        35:{2,3,5}:{(18,1),(19,1),(49,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(50,1),(54,1),(58,1),(59,1),(303,1),(434,1)}
        37:{1,2,4,5,7}:{(20,1),(55,1),(59,1),(114,1),(122,1),(218,1),(222,1),(304,1),(322,1),(417,1),(435,1),(500,1)}
        38:{1,3,5,7}:{(21,1),(24,1),(25,1),(60,1),(61,1),(280,1),(282,1)}
        39:{1,2,4,6}:{(22,1),(23,1),(62,1),(63,1),(248,1),(365,1),(394,1)}
        40:{1,3,4,7}:{(23,1),(62,1),(64,1),(65,1),(527,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(60,1),(63,1),(65,1),(66,1),(131,1)}
        42:{1,2,5,6}:{(24,1),(61,1),(66,1),(173,1),(237,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(60,1),(68,1),(69,1),(384,1),(478,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(61,1),(69,1),(85,1),(143,1),(146,1),(164,1),(237,1)}
        45:{1,3,4,5,7}:{(26,1),(28,1),(30,1),(68,1),(76,1),(77,1),(82,1),(165,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(32,1),(70,1),(78,1),(86,1),(165,1),(254,1),(361,1),(464,1)}
        48:{1,2,3,5}:{(33,1),(79,1),(87,1),(170,1)}
        49:{2,4,5}:{(28,1),(35,1),(80,1),(81,1)}
        50:{1,3,4,6}:{(28,1),(36,1),(81,1),(82,1),(463,1),(476,1)}
        51:{1,2,3,7}:{(33,1),(83,1),(285,1)}
        52:{1,3,4,7}:{(29,1),(34,1),(83,1),(84,1),(172,1),(285,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(35,1),(76,1),(84,1),(85,1)}
        54:{1,3,6}:{(30,1),(31,1),(85,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(37,1),(78,1),(86,1),(169,1),(276,1),(379,1),(471,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(79,1),(83,1),(87,1),(173,1)}
        57:{1,3,5}:{(34,1),(35,1),(80,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(81,1),(85,1),(88,1),(89,1),(164,1),(259,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(82,1),(86,1),(89,1),(364,1),(477,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(91,1),(339,1),(442,1)}
        61:{1,3,5,6}:{(38,1),(42,1),(44,1),(91,1),(100,1),(124,1),(221,1)}
        62:{1,3,4,6}:{(39,1),(40,1),(94,1),(95,1),(100,1),(419,1),(501,1)}
        63:{1,2,4,5}:{(39,1),(95,1),(188,1),(220,1),(339,1)}
        64:{2,3,4,7}:{(40,1),(94,1),(98,1),(99,1),(311,1),(503,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(95,1),(99,1),(100,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(91,1),(100,1),(183,1)}
        67:{1,2,5,6,7}:{(42,1),(92,1),(101,1),(228,1),(299,1),(341,1),(402,1),(429,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(203,1),(433,1),(509,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(91,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(92,1),(105,1),(125,1),(196,1),(203,1),(222,1),(299,1),(429,1),(437,1),(505,1)}
        71:{2,3,4,5}:{(49,1),(106,1),(107,1),(208,1),(320,1),(433,1)}
        72:{1,2,3,5,6}:{(48,1),(108,1),(109,1),(112,1),(126,1),(216,1),(220,1),(226,1),(321,1),(332,1),(335,1),(340,1)}
        73:{1,3,4,5,6}:{(50,1),(110,1),(111,1),(113,1),(199,1),(201,1),(323,1),(337,1),(434,1),(440,1)}
        74:{1,4,5,6}:{(46,1),(102,1),(113,1),(114,1),(298,1)}
        75:{1,2,3,5,7}:{(48,1),(51,1),(112,1),(115,1),(123,1),(220,1),(223,1),(305,1),(396,1),(483,1)}
        76:{2,4,5,7}:{(45,1),(49,1),(53,1),(116,1),(117,1),(122,1),(222,1)}
        77:{1,3,4,6}:{(45,1),(46,1),(54,1),(104,1),(113,1),(117,1)}
        78:{1,4,6,7}:{(46,1),(47,1),(105,1),(114,1),(500,1)}
        79:{1,2,4}:{(48,1),(119,1)}
        80:{1,4,5}:{(49,1),(57,1),(121,1)}
        81:{2,4,6}:{(49,1),(50,1),(58,1),(121,1),(122,1)}
        82:{1,3,4,7}:{(50,1),(59,1),(122,1),(500,1),(509,1)}
        83:{1,2,4,7}:{(51,1),(52,1),(56,1),(123,1)}
        84:{1,3,5,7}:{(52,1),(53,1),(57,1),(116,1),(123,1),(124,1)}
        85:{2,3,6}:{(53,1),(54,1),(117,1),(124,1)}
        86:{1,3,6,7}:{(54,1),(55,1),(59,1),(125,1),(505,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(121,1),(124,1),(126,1),(127,1),(221,1),(226,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(122,1),(125,1),(127,1),(222,1),(322,1),(330,1)}
        90:{1,3,4,5,7}:{(60,1),(65,1),(68,1),(131,1),(132,1),(135,1),(238,1),(249,1)}
        91:{1,4,6}:{(60,1),(61,1),(69,1)}
        92:{1,3,5,6,7}:{(61,1),(67,1),(70,1),(133,1),(144,1),(174,1),(238,1),(282,1),(395,1)}
        93:{1,2,3,5}:{(128,1),(134,1),(233,1),(243,1)}
        94:{2,3,4,6}:{(62,1),(64,1),(137,1),(138,1),(143,1),(248,1),(366,1),(467,1)}
        95:{1,3,5}:{(62,1),(63,1),(138,1)}
        96:{1,2,4,5,6}:{(63,1),(66,1),(129,1),(139,1),(140,1),(237,1),(248,1),(281,1),(357,1),(382,1),(394,1),(458,1),(466,1)}
        97:{1,2,3,7}:{(136,1),(141,1),(469,1)}
        98:{1,3,4,7}:{(64,1),(137,1),(141,1),(142,1),(372,1),(469,1)}
        99:{2,3,5,7}:{(64,1),(65,1),(131,1),(138,1),(142,1),(143,1)}
       100:{1,3,6}:{(65,1),(66,1),(143,1)}
       101:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(140,1),(144,1),(242,1),(448,1),(471,1),(515,1)}
       102:{2,4,5,6}:{(69,1),(74,1),(129,1),(146,1),(147,1),(164,1),(237,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(76,1),(131,1),(148,1),(149,1),(154,1),(245,1),(265,1),(266,1),(369,1),(377,1),(384,1),(470,1),(478,1),(513,1)}
       104:{3,4,6}:{(68,1),(69,1),(146,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(78,1),(133,1),(147,1),(150,1),(478,1)}
       106:{1,3,4,5}:{(71,1),(80,1),(152,1),(153,1),(170,1),(243,1),(350,1)}
       107:{2,3,4,6}:{(71,1),(81,1),(145,1),(153,1),(154,1),(269,1),(380,1),(476,1)}
       108:{1,2,3,5,7}:{(72,1),(155,1),(157,1),(175,1),(272,1),(274,1),(285,1),(381,1),(395,1)}
       109:{1,2,4,6}:{(72,1),(79,1),(157,1),(159,1),(160,1),(380,1),(394,1)}
       110:{2,4,5,6}:{(73,1),(81,1),(145,1),(161,1),(162,1),(164,1),(259,1),(380,1),(474,1)}
       111:{1,3,4,5,7}:{(73,1),(82,1),(158,1),(162,1),(165,1),(260,1),(262,1),(383,1),(393,1),(477,1),(481,1)}
       112:{1,2,3,6}:{(75,1),(163,1),(173,1),(283,1),(512,1)}
       113:{1,3,5,6}:{(74,1),(77,1),(146,1),(164,1),(165,1)}
       114:{1,4,5,7}:{(74,1),(78,1),(147,1),(165,1),(361,1)}
       115:{1,2,4,7}:{(75,1),(79,1),(163,1),(166,1),(365,1)}
       116:{1,4,5,7}:{(76,1),(80,1),(84,1),(168,1),(172,1),(282,1)}
       117:{2,4,6}:{(76,1),(77,1),(85,1),(164,1),(168,1)}
       118:{1,3,4,6,7}:{(77,1),(78,1),(82,1),(86,1),(150,1),(165,1),(169,1)}
       119:{1,3,4}:{(79,1),(151,1),(170,1)}
       120:{1,2,4,5}:{(79,1),(80,1),(87,1),(152,1),(170,1),(171,1)}
       121:{1,4,6}:{(80,1),(81,1),(88,1),(172,1)}
       122:{2,4,7}:{(81,1),(82,1),(89,1),(172,1)}
       123:{1,2,5,7}:{(83,1),(84,1),(87,1),(173,1)}
       124:{1,3,6}:{(84,1),(85,1),(168,1),(173,1)}
       125:{2,3,6,7}:{(85,1),(86,1),(89,1),(169,1),(174,1),(379,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(171,1),(173,1),(175,1),(259,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(172,1),(174,1),(175,1),(282,1),(285,1)}
       128:{1,2,3,6}:{(93,1),(176,1),(177,1),(303,1)}
       129:{1,4,5,6}:{(91,1),(102,1),(179,1),(180,1),(221,1)}
       130:{1,2,3,5,7}:{(93,1),(97,1),(176,1),(178,1),(181,1),(187,1),(194,1),(290,1),(297,1),(300,1)}
       131:{2,4,5,7}:{(90,1),(99,1),(182,1),(183,1),(188,1),(299,1),(311,1)}
       132:{1,3,4,6}:{(90,1),(91,1),(100,1),(104,1),(179,1),(183,1)}
       133:{1,4,6,7}:{(91,1),(92,1),(105,1),(180,1),(442,1)}
       134:{1,2,4}:{(93,1),(185,1)}
       135:{1,3,4,5}:{(95,1),(188,1),(189,1),(339,1),(433,1)}
       136:{1,2,3,6}:{(97,1),(187,1),(190,1),(424,1)}
       137:{1,3,4,6}:{(94,1),(98,1),(190,1),(191,1),(195,1),(308,1),(310,1),(424,1)}
       138:{2,3,5}:{(94,1),(95,1),(188,1),(191,1)}
       139:{1,3,5,6}:{(95,1),(96,1),(100,1),(189,1),(192,1),(193,1),(434,1),(501,1)}
       140:{1,2,4,5,7}:{(96,1),(101,1),(180,1),(193,1),(299,1),(311,1),(341,1),(414,1),(435,1),(442,1),(497,1),(502,1)}
       141:{1,2,4,7}:{(97,1),(98,1),(190,1),(194,1)}
       142:{1,3,5,7}:{(98,1),(99,1),(182,1),(191,1),(194,1),(195,1)}
       143:{2,3,6}:{(99,1),(100,1),(183,1),(195,1)}
       144:{1,3,6,7}:{(100,1),(101,1),(193,1),(196,1),(505,1)}
       145:{2,3,5,6}:{(107,1),(110,1),(199,1),(200,1),(434,1)}
       146:{3,5,6}:{(102,1),(104,1),(203,1)}
       147:{2,4,5,7}:{(102,1),(105,1),(114,1),(180,1),(203,1),(222,1),(299,1)}
       148:{1,3,4,5,7}:{(103,1),(106,1),(116,1),(182,1),(205,1),(206,1),(210,1),(223,1),(300,1),(306,1),(327,1),(339,1),(403,1),(415,1),(423,1),(433,1),(442,1),(500,1),(509,1),(531,1)}
       149:{2,3,4,6}:{(103,1),(104,1),(117,1),(183,1),(202,1),(206,1),(328,1),(430,1),(436,1),(504,1),(534,1)}
       150:{3,4,6,7}:{(104,1),(105,1),(203,1),(505,1),(509,1)}
       151:{2,3,4}:{(119,1),(185,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(121,1),(199,1),(209,1),(210,1),(226,1),(303,1),(406,1)}
       154:{2,3,4,7}:{(107,1),(122,1),(200,1),(210,1),(330,1),(432,1),(509,1)}
       155:{1,2,3,6,7}:{(108,1),(112,1),(211,1),(228,1),(335,1),(342,1),(396,1),(431,1)}
       156:{1,4,5,6,7}:{(114,1),(197,1),(212,1),(402,1),(426,1),(510,1)}
       157:{1,2,4,7}:{(108,1),(109,1),(213,1),(432,1),(442,1)}
       158:{1,3,4,6,7}:{(111,1),(212,1),(215,1),(315,1),(319,1),(426,1),(505,1)}
       159:{1,3,4,6}:{(109,1),(119,1),(198,1),(213,1),(216,1),(226,1),(335,1)}
       160:{1,2,4,5}:{(109,1),(216,1),(220,1),(320,1),(339,1)}
       161:{1,4,5,6}:{(110,1),(121,1),(199,1),(218,1),(221,1),(406,1),(491,1)}
       162:{2,4,5,7}:{(110,1),(111,1),(122,1),(200,1),(215,1),(218,1),(222,1),(322,1),(432,1),(508,1)}
       163:{1,2,4,6}:{(112,1),(115,1),(219,1),(220,1)}
       164:{2,5,6}:{(113,1),(117,1),(221,1),(222,1)}
       165:{1,3,5,7}:{(113,1),(114,1),(118,1),(203,1),(222,1)}
       166:{1,3,4,7}:{(115,1),(119,1),(204,1),(219,1),(223,1),(419,1),(442,1)}
       167:{1,2,4,5,7}:{(115,1),(116,1),(120,1),(123,1),(205,1),(220,1),(223,1),(224,1),(227,1),(339,1),(341,1),(420,1),(442,1),(483,1),(502,1),(531,1)}
       168:{1,4,6}:{(116,1),(117,1),(124,1),(221,1)}
       169:{2,4,6,7}:{(117,1),(118,1),(122,1),(125,1),(222,1),(225,1)}
       170:{1,3,5}:{(119,1),(120,1),(208,1),(226,1)}
       171:{1,2,4,6}:{(120,1),(121,1),(126,1),(209,1),(226,1),(227,1)}
       172:{1,4,7}:{(121,1),(122,1),(127,1)}
       173:{1,2,6}:{(123,1),(124,1)}
       174:{1,3,6,7}:{(124,1),(125,1),(127,1),(225,1),(228,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(227,1),(228,1),(322,1)}
       176:{1,2,3,7}:{(128,1),(231,1),(364,1)}
       177:{1,2,4,6}:{(128,1),(134,1),(231,1),(232,1),(233,1),(349,1)}
       178:{1,2,3,6}:{(130,1),(236,1),(253,1),(349,1),(362,1)}
       179:{1,3,5,6}:{(129,1),(132,1),(146,1),(237,1),(238,1)}
       180:{1,4,5,7}:{(129,1),(133,1),(147,1),(238,1),(282,1)}
       181:{1,2,4,7}:{(130,1),(134,1),(236,1),(239,1),(246,1)}
       182:{1,4,5,7}:{(131,1),(142,1),(241,1),(247,1),(361,1),(372,1)}
       183:{2,4,6}:{(131,1),(132,1),(143,1),(237,1),(241,1)}
       184:{1,3,4,6,7}:{(132,1),(133,1),(144,1),(150,1),(238,1),(242,1),(249,1)}
       185:{1,3,4}:{(134,1),(151,1),(243,1)}
       186:{1,2,4,5}:{(134,1),(152,1),(233,1),(243,1),(244,1),(350,1)}
       187:{1,2,3,5}:{(136,1),(246,1),(250,1),(370,1)}
       188:{2,4,5}:{(135,1),(138,1),(247,1),(248,1)}
       189:{1,3,4,6}:{(135,1),(139,1),(248,1),(249,1),(394,1),(476,1)}
       190:{1,2,4,6}:{(136,1),(137,1),(141,1),(246,1),(250,1),(253,1)}
       191:{1,3,5}:{(137,1),(138,1),(247,1),(250,1)}
       192:{2,3,5,6}:{(138,1),(139,1),(143,1),(237,1),(248,1),(251,1),(252,1),(458,1),(467,1)}
       193:{1,3,5,7}:{(139,1),(140,1),(144,1),(249,1),(252,1),(477,1),(527,1)}
       194:{1,2,5,7}:{(141,1),(142,1),(250,1),(253,1)}
       195:{1,3,6}:{(142,1),(143,1),(241,1),(253,1)}
       196:{2,3,6,7}:{(143,1),(144,1),(242,1),(252,1),(254,1),(515,1)}
       197:{2,4,5,6,7}:{(147,1),(156,1),(230,1),(255,1),(273,1),(347,1),(374,1),(471,1),(530,1)}
       198:{2,3,4,6}:{(151,1),(159,1),(232,1),(256,1),(258,1),(269,1),(378,1),(380,1)}
       199:{1,3,5,6}:{(145,1),(153,1),(161,1),(259,1),(260,1)}
       200:{2,3,5,7}:{(145,1),(154,1),(162,1),(257,1),(260,1),(477,1)}
       201:{3,4,5,6}:{(146,1),(261,1),(262,1),(476,1),(528,1)}
       202:{2,3,5,6}:{(146,1),(149,1),(164,1),(237,1),(261,1),(264,1),(265,1),(474,1),(528,1),(545,1)}
       203:{3,5,7}:{(146,1),(147,1),(150,1)}
       204:{2,3,4,7}:{(151,1),(166,1),(239,1),(263,1),(266,1),(366,1),(478,1)}
       205:{2,4,5,7}:{(148,1),(152,1),(266,1),(267,1),(270,1),(367,1),(384,1),(386,1),(468,1),(478,1)}
       206:{1,3,4,6}:{(148,1),(149,1),(168,1),(241,1),(264,1),(267,1),(283,1),(362,1),(394,1),(452,1),(463,1),(476,1),(543,1)}
       207:{2,3,4,6,7}:{(149,1),(150,1),(154,1),(169,1),(242,1),(257,1),(265,1),(268,1),(369,1),(374,1),(387,1),(445,1),(475,1),(478,1),(529,1),(546,1)}
       208:{2,3,5}:{(151,1),(152,1),(170,1),(243,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(259,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(172,1),(260,1),(270,1),(285,1),(364,1),(454,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(163,1),(271,1),(272,1),(275,1),(443,1),(475,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(158,1),(165,1),(255,1),(273,1),(481,1)}
       213:{1,3,4,7}:{(157,1),(159,1),(256,1),(274,1),(285,1)}
       214:{1,2,4,5,7}:{(157,1),(160,1),(272,1),(274,1),(275,1),(377,1),(388,1)}
       215:{2,4,6,7}:{(158,1),(162,1),(257,1),(273,1),(276,1),(379,1)}
       216:{1,3,5}:{(159,1),(160,1),(258,1)}
       217:{1,2,4,5,6}:{(160,1),(161,1),(171,1),(259,1),(275,1),(278,1),(279,1),(281,1),(380,1),(382,1),(394,1),(474,1),(479,1)}
       218:{1,4,5,7}:{(161,1),(162,1),(172,1),(260,1),(276,1),(282,1),(454,1),(520,1)}
       219:{1,3,4,6}:{(163,1),(166,1),(263,1),(280,1),(283,1),(394,1)}
       220:{1,2,5}:{(163,1),(280,1)}
       221:{1,5,6}:{(164,1),(168,1),(282,1)}
       222:{2,5,7}:{(164,1),(165,1),(169,1),(282,1)}
       223:{1,3,5,7}:{(166,1),(167,1),(170,1),(266,1),(280,1),(283,1),(285,1),(465,1),(527,1)}
       224:{1,2,4,6}:{(167,1),(168,1),(173,1),(267,1),(281,1),(283,1),(394,1),(512,1),(543,1)}
       225:{1,4,6,7}:{(168,1),(169,1),(172,1),(174,1),(282,1)}
       226:{1,3,6}:{(170,1),(171,1),(269,1),(285,1)}
       227:{1,2,4,7}:{(171,1),(172,1),(175,1),(270,1),(285,1)}
       228:{1,2,6,7}:{(173,1),(174,1),(175,1),(379,1)}
       229:{1,2,3,6,7}:{(176,1),(178,1),(286,1),(287,1),(314,1),(418,1),(487,1),(535,1)}
       230:{1,4,5,6,7}:{(180,1),(197,1),(288,1),(333,1),(426,1),(538,1)}
       231:{1,2,4,7}:{(176,1),(177,1),(289,1),(290,1)}
       232:{1,3,4,6}:{(177,1),(185,1),(198,1),(289,1),(291,1),(303,1),(404,1),(406,1)}
       233:{1,2,5}:{(177,1),(291,1)}
       234:{1,2,3,5,6}:{(178,1),(187,1),(286,1),(293,1),(297,1),(312,1),(401,1),(412,1),(416,1),(424,1),(487,1),(496,1)}
       235:{1,3,4,5,6}:{(179,1),(189,1),(201,1),(294,1),(295,1),(323,1),(410,1),(434,1),(498,1),(536,1)}
       236:{1,2,4,6}:{(178,1),(181,1),(296,1),(297,1)}
       237:{2,5,6}:{(179,1),(183,1),(298,1),(299,1)}
       238:{1,3,5,7}:{(179,1),(180,1),(184,1),(203,1),(299,1)}
       239:{1,3,4,7}:{(181,1),(185,1),(204,1),(296,1),(300,1),(308,1),(500,1)}
       240:{1,2,4,5,7}:{(181,1),(182,1),(186,1),(194,1),(205,1),(290,1),(297,1),(300,1),(301,1),(304,1),(309,1),(403,1),(415,1),(417,1),(425,1),(500,1)}
       241:{1,4,6}:{(182,1),(183,1),(195,1),(298,1)}
       242:{2,4,6,7}:{(183,1),(184,1),(196,1),(299,1),(302,1),(311,1)}
       243:{1,3,5}:{(185,1),(186,1),(208,1),(303,1)}
       244:{1,2,4,6}:{(186,1),(209,1),(292,1),(303,1),(304,1),(406,1)}
       245:{2,3,4,5}:{(188,1),(306,1),(307,1),(421,1),(433,1),(495,1)}
       246:{1,2,4}:{(187,1),(308,1)}
       247:{1,4,5}:{(188,1),(191,1),(310,1)}
       248:{2,4,6}:{(188,1),(189,1),(192,1),(310,1),(311,1)}
       249:{1,3,4,7}:{(189,1),(193,1),(311,1),(442,1),(509,1)}
       250:{1,2,5}:{(190,1),(191,1)}
       251:{1,3,5,6}:{(191,1),(192,1),(195,1),(298,1),(310,1),(312,1),(313,1),(424,1)}
       252:{2,3,5,7}:{(192,1),(193,1),(196,1),(299,1),(311,1),(313,1),(497,1),(503,1)}
       253:{1,2,6}:{(194,1),(195,1)}
       254:{1,3,6,7}:{(195,1),(196,1),(302,1),(313,1),(314,1)}
       255:{3,5,6,7}:{(197,1),(203,1),(315,1),(505,1),(542,1)}
       256:{2,3,4,7}:{(198,1),(213,1),(289,1),(318,1),(330,1),(432,1)}
       257:{2,3,6,7}:{(200,1),(215,1),(319,1),(505,1)}
       258:{2,3,5}:{(198,1),(216,1),(291,1),(320,1)}
       259:{2,5,6}:{(199,1),(209,1),(322,1)}
       260:{1,3,5,7}:{(199,1),(200,1),(210,1),(218,1),(319,1),(322,1)}
       261:{2,4,5,6}:{(201,1),(202,1),(323,1),(324,1),(436,1)}
       262:{3,4,5,7}:{(201,1),(203,1),(315,1),(324,1),(509,1),(542,1)}
       263:{2,3,4,6}:{(204,1),(219,1),(296,1),(325,1),(328,1),(436,1)}
       264:{1,3,5,6}:{(202,1),(206,1),(221,1),(298,1),(323,1),(326,1),(327,1),(434,1),(491,1),(549,1)}
       265:{2,3,5,7}:{(202,1),(203,1),(207,1),(222,1),(299,1),(324,1),(327,1),(508,1),(542,1),(551,1)}
       266:{2,3,5,7}:{(204,1),(205,1),(208,1),(223,1),(300,1),(325,1),(328,1),(330,1),(421,1),(503,1)}
       267:{2,4,6}:{(205,1),(206,1),(326,1),(328,1)}
       268:{1,3,4,6,7}:{(206,1),(207,1),(210,1),(225,1),(302,1),(319,1),(327,1),(329,1),(342,1),(418,1),(423,1),(426,1),(442,1),(485,1),(492,1),(500,1),(505,1),(509,1),(550,1)}
       269:{2,3,6}:{(208,1),(209,1),(226,1),(303,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(322,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(219,1),(316,1),(331,1),(335,1),(342,1),(438,1),(442,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(220,1),(331,1),(332,1),(508,1)}
       273:{2,5,6,7}:{(212,1),(215,1),(222,1),(333,1),(508,1)}
       274:{1,3,5,7}:{(213,1),(214,1),(216,1),(318,1),(335,1)}
       275:{1,2,4,6}:{(214,1),(332,1),(335,1),(430,1),(438,1)}
       276:{1,4,6,7}:{(215,1),(218,1),(319,1),(333,1)}
       277:{1,3,4,5}:{(216,1),(320,1),(337,1),(339,1),(433,1)}
       278:{1,3,5,6}:{(216,1),(217,1),(226,1),(321,1),(335,1),(337,1),(338,1),(434,1)}
       279:{1,2,4,5,7}:{(217,1),(218,1),(227,1),(322,1),(336,1),(338,1),(341,1),(432,1),(435,1),(442,1),(508,1),(510,1)}
       280:{1,3,5}:{(219,1),(220,1),(325,1),(339,1)}
       281:{1,2,5,6}:{(220,1),(221,1),(224,1),(326,1),(340,1),(341,1),(549,1)}
       282:{1,5,7}:{(221,1),(222,1),(225,1)}
       283:{1,3,6}:{(223,1),(224,1),(328,1)}
       284:{1,2,4,6,7}:{(224,1),(225,1),(227,1),(228,1),(329,1),(341,1),(342,1),(442,1),(502,1),(533,1),(550,1)}
       285:{1,3,7}:{(226,1),(227,1),(330,1)}
       286:{1,2,3,5,7}:{(229,1),(234,1),(343,1),(346,1),(373,1),(446,1),(464,1),(469,1),(525,1)}
       287:{1,2,4,6,7}:{(229,1),(231,1),(236,1),(343,1),(345,1),(346,1),(349,1),(447,1),(546,1)}
       288:{1,3,5,6,7}:{(230,1),(238,1),(255,1),(344,1),(347,1),(547,1)}
       289:{1,3,4,7}:{(231,1),(232,1),(256,1),(348,1),(364,1),(454,1)}
       290:{1,2,5,7}:{(231,1),(233,1),(348,1),(349,1)}
       291:{1,3,5}:{(232,1),(233,1),(258,1),(350,1)}
       292:{1,2,5,6}:{(233,1),(244,1),(259,1),(349,1),(351,1),(352,1)}
       293:{1,2,4,6}:{(234,1),(246,1),(343,1),(355,1),(356,1),(463,1),(524,1)}
       294:{2,4,5,6}:{(235,1),(237,1),(248,1),(354,1),(357,1),(358,1),(458,1),(524,1),(545,1)}
       295:{1,3,4,5,7}:{(235,1),(238,1),(249,1),(262,1),(344,1),(358,1),(383,1),(459,1),(477,1),(526,1),(547,1)}
       296:{1,3,4,6}:{(236,1),(239,1),(263,1),(359,1),(362,1),(463,1)}
       297:{1,2,5}:{(236,1),(359,1)}
       298:{1,5,6}:{(237,1),(241,1),(361,1)}
       299:{2,5,7}:{(237,1),(238,1),(242,1),(361,1)}
       300:{1,3,5,7}:{(239,1),(240,1),(243,1),(266,1),(359,1),(362,1),(364,1),(370,1),(469,1)}
       301:{1,2,4,6}:{(240,1),(241,1),(253,1),(267,1),(349,1),(360,1),(362,1),(452,1),(463,1)}
       302:{1,4,6,7}:{(241,1),(242,1),(254,1),(361,1),(372,1)}
       303:{1,3,6}:{(243,1),(244,1),(269,1),(364,1)}
       304:{1,2,4,7}:{(244,1),(270,1),(352,1),(364,1),(454,1)}
       305:{1,2,3,5}:{(353,1),(365,1),(456,1),(465,1)}
       306:{1,3,4,5}:{(245,1),(247,1),(367,1),(368,1),(370,1),(465,1),(521,1)}
       307:{2,3,4,6}:{(245,1),(248,1),(354,1),(368,1),(369,1),(467,1),(476,1),(524,1)}
       308:{1,3,4}:{(246,1),(366,1),(370,1)}
       309:{1,2,4,5}:{(246,1),(247,1),(250,1),(367,1),(370,1),(371,1)}
       310:{1,4,6}:{(247,1),(248,1),(251,1),(372,1)}
       311:{2,4,7}:{(248,1),(249,1),(252,1),(372,1)}
       312:{1,2,5,6}:{(250,1),(251,1),(253,1),(371,1),(373,1),(458,1)}
       313:{1,3,5,7}:{(251,1),(252,1),(254,1),(361,1),(372,1),(373,1),(469,1)}
       314:{1,2,6,7}:{(253,1),(254,1),(373,1),(515,1)}
       315:{3,4,6,7}:{(255,1),(262,1),(374,1)}
       316:{2,3,4,6,7}:{(256,1),(263,1),(271,1),(345,1),(375,1),(378,1),(387,1),(444,1),(472,1),(475,1),(478,1),(514,1),(529,1),(546,1)}
       317:{2,3,5,6,7}:{(255,1),(257,1),(265,1),(273,1),(347,1),(374,1),(376,1),(445,1)}
       318:{2,3,5,7}:{(256,1),(258,1),(274,1),(348,1),(377,1),(378,1)}
       319:{1,3,6,7}:{(257,1),(260,1),(276,1),(379,1)}
       320:{2,4,5}:{(258,1),(277,1),(350,1),(380,1)}
       321:{2,3,5,6}:{(258,1),(259,1),(269,1),(278,1),(351,1),(378,1),(380,1),(381,1),(474,1)}
       322:{2,5,7}:{(259,1),(260,1),(270,1),(379,1)}
       323:{1,4,5,6}:{(261,1),(264,1),(382,1),(383,1),(394,1),(463,1)}
       324:{2,4,5,7}:{(261,1),(262,1),(265,1),(374,1),(383,1),(478,1)}
       325:{2,3,5}:{(263,1),(280,1),(359,1),(384,1)}
       326:{2,5,6}:{(264,1),(267,1),(386,1)}
       327:{1,3,5,7}:{(264,1),(265,1),(268,1),(282,1),(361,1),(383,1),(386,1),(477,1),(520,1),(552,1)}
       328:{2,3,6}:{(266,1),(267,1),(283,1),(362,1)}
       329:{2,4,6,7}:{(267,1),(268,1),(270,1),(379,1),(386,1),(387,1),(468,1),(478,1),(515,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(364,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(280,1),(375,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(275,1),(389,1),(474,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(282,1),(520,1)}
       334:{1,3,4,5,7}:{(274,1),(277,1),(377,1),(388,1),(391,1),(393,1),(470,1),(481,1)}
       335:{1,3,6}:{(274,1),(275,1),(378,1)}
       336:{1,2,4,6,7}:{(275,1),(276,1),(279,1),(379,1),(390,1),(392,1),(471,1),(475,1),(480,1)}
       337:{1,3,4,6}:{(277,1),(278,1),(380,1),(393,1),(394,1),(476,1)}
       338:{1,3,5,7}:{(278,1),(279,1),(285,1),(381,1),(392,1),(393,1),(477,1)}
       339:{1,4,5}:{(280,1),(384,1),(394,1)}
       340:{1,3,5,6}:{(280,1),(281,1),(283,1),(385,1),(394,1),(395,1)}
       341:{1,2,5,7}:{(281,1),(282,1),(284,1),(386,1),(395,1),(552,1)}
       342:{1,3,6,7}:{(283,1),(284,1),(285,1),(387,1),(395,1),(527,1)}
       343:{1,2,4,7}:{(286,1),(293,1),(397,1),(500,1),(541,1)}
       344:{1,3,4,6,7}:{(288,1),(295,1),(315,1),(399,1),(426,1),(485,1),(505,1)}
       345:{1,3,4,6,7}:{(287,1),(289,1),(296,1),(316,1),(397,1),(400,1),(404,1),(418,1),(487,1),(489,1),(492,1),(500,1)}
       346:{1,2,5,7}:{(287,1),(297,1),(400,1),(401,1),(551,1)}
       347:{2,5,6,7}:{(288,1),(299,1),(399,1),(402,1),(551,1)}
       348:{1,3,5,7}:{(289,1),(290,1),(291,1),(318,1),(403,1),(404,1)}
       349:{1,2,6}:{(290,1),(404,1)}
       350:{1,4,5}:{(291,1),(320,1),(406,1)}
       351:{1,3,5,6}:{(291,1),(292,1),(303,1),(321,1),(404,1),(406,1),(407,1),(491,1)}
       352:{1,2,5,7}:{(292,1),(304,1),(322,1),(405,1),(407,1)}
       353:{1,2,3,6}:{(305,1),(396,1),(408,1),(501,1)}
       354:{2,3,5,6}:{(294,1),(307,1),(410,1),(411,1),(434,1)}
       355:{1,3,4,6}:{(293,1),(308,1),(397,1),(409,1),(412,1),(424,1),(487,1)}
       356:{1,2,4,5}:{(293,1),(297,1),(412,1),(415,1),(495,1)}
       357:{1,4,5,6}:{(294,1),(298,1),(310,1),(410,1),(414,1),(539,1),(549,1)}
       358:{2,4,5,7}:{(294,1),(295,1),(299,1),(311,1),(399,1),(411,1),(414,1),(497,1),(541,1),(551,1)}
       359:{1,3,5}:{(296,1),(297,1),(325,1),(415,1)}
       360:{1,2,5,6}:{(297,1),(298,1),(301,1),(326,1),(416,1),(417,1),(491,1)}
       361:{1,5,7}:{(298,1),(299,1),(302,1)}
       362:{1,3,6}:{(300,1),(301,1),(328,1)}
       363:{1,2,4,6,7}:{(301,1),(302,1),(304,1),(314,1),(329,1),(405,1),(417,1),(418,1),(425,1),(492,1),(500,1)}
       364:{1,3,7}:{(303,1),(304,1),(330,1)}
       365:{1,2,4}:{(305,1),(419,1)}
       366:{2,3,4}:{(308,1),(419,1),(421,1)}
       367:{2,4,5}:{(306,1),(421,1),(422,1)}
       368:{1,3,4,6}:{(306,1),(307,1),(310,1),(410,1),(422,1),(423,1),(424,1),(501,1),(539,1)}
       369:{2,3,4,7}:{(307,1),(311,1),(411,1),(423,1),(503,1),(509,1),(541,1)}
       370:{1,3,5}:{(308,1),(309,1),(421,1),(424,1)}
       371:{1,2,4,6}:{(309,1),(310,1),(312,1),(422,1),(424,1),(425,1)}
       372:{1,4,7}:{(310,1),(311,1),(313,1)}
       373:{1,2,5,7}:{(312,1),(313,1),(314,1),(425,1),(497,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(324,1),(426,1)}
       375:{2,3,5,7}:{(316,1),(325,1),(331,1),(400,1),(427,1),(428,1),(508,1),(542,1),(551,1)}
       376:{1,3,5,6,7}:{(317,1),(319,1),(327,1),(333,1),(402,1),(426,1),(429,1),(485,1),(505,1)}
       377:{2,4,5,7}:{(318,1),(320,1),(334,1),(403,1),(430,1),(432,1),(508,1)}
       378:{2,3,6}:{(318,1),(335,1),(404,1),(430,1)}
       379:{2,6,7}:{(319,1),(322,1)}
       380:{2,4,6}:{(320,1),(321,1),(337,1),(406,1),(432,1)}
       381:{2,3,5,7}:{(321,1),(322,1),(330,1),(338,1),(407,1),(431,1),(432,1),(508,1)}
       382:{2,4,5,6}:{(323,1),(326,1),(434,1),(435,1),(436,1)}
       383:{1,4,5,7}:{(323,1),(324,1),(327,1),(426,1),(435,1),(442,1),(500,1)}
       384:{2,4,5}:{(325,1),(339,1),(415,1),(433,1),(436,1)}
       385:{2,3,5,6}:{(325,1),(326,1),(328,1),(340,1),(416,1),(434,1),(436,1),(437,1)}
       386:{2,5,7}:{(326,1),(327,1),(329,1)}
       387:{2,3,6,7}:{(328,1),(329,1),(330,1),(342,1),(418,1),(437,1),(503,1),(505,1)}
       388:{1,4,5,7}:{(331,1),(339,1),(427,1),(438,1),(442,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(335,1),(428,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(341,1),(429,1),(439,1),(508,1),(533,1)}
       391:{1,3,4,6}:{(334,1),(335,1),(430,1),(438,1),(440,1),(504,1)}
       392:{1,3,6,7}:{(335,1),(336,1),(338,1),(431,1),(505,1)}
       393:{1,3,4,7}:{(337,1),(338,1),(432,1),(442,1),(509,1)}
       394:{1,4,6}:{(339,1),(340,1),(436,1),(442,1)}
       395:{1,3,5,7}:{(340,1),(341,1),(342,1),(437,1),(442,1)}
       396:{1,2,3,7}:{(353,1),(443,1),(527,1)}
       397:{1,3,4,7}:{(343,1),(355,1),(444,1),(446,1),(469,1)}
       398:{1,2,4,5,7}:{(343,1),(346,1),(356,1),(446,1),(447,1),(449,1),(513,1)}
       399:{2,4,6,7}:{(344,1),(347,1),(358,1),(445,1),(448,1),(515,1)}
       400:{1,3,5,7}:{(345,1),(346,1),(359,1),(375,1),(449,1),(450,1),(520,1)}
       401:{1,2,5,6}:{(346,1),(349,1),(447,1),(450,1),(545,1)}
       402:{1,5,6,7}:{(347,1),(361,1),(448,1),(552,1)}
       403:{1,4,5,7}:{(348,1),(350,1),(377,1),(452,1),(454,1),(520,1)}
       404:{1,3,6}:{(348,1),(349,1),(378,1),(452,1)}
       405:{1,2,6,7}:{(349,1),(352,1),(379,1),(453,1)}
       406:{1,4,6}:{(350,1),(351,1),(380,1),(454,1)}
       407:{1,3,5,7}:{(351,1),(352,1),(364,1),(381,1),(453,1),(454,1),(520,1)}
       408:{1,2,4,6}:{(353,1),(365,1),(443,1),(455,1),(456,1),(512,1)}
       409:{2,3,4,6}:{(355,1),(366,1),(444,1),(455,1),(457,1),(467,1),(514,1),(524,1)}
       410:{1,3,5,6}:{(354,1),(357,1),(368,1),(458,1),(459,1)}
       411:{2,3,5,7}:{(354,1),(358,1),(369,1),(445,1),(459,1),(477,1)}
       412:{1,3,5}:{(355,1),(356,1),(457,1)}
       413:{1,2,4,5,6}:{(356,1),(357,1),(360,1),(371,1),(382,1),(447,1),(458,1),(461,1),(462,1),(463,1),(518,1),(524,1),(545,1)}
       414:{1,4,5,7}:{(357,1),(358,1),(361,1),(372,1),(448,1),(459,1),(548,1),(552,1)}
       415:{1,4,5}:{(359,1),(384,1),(463,1)}
       416:{1,3,5,6}:{(359,1),(360,1),(362,1),(385,1),(463,1),(464,1)}
       417:{1,2,5,7}:{(360,1),(361,1),(363,1),(386,1),(464,1),(520,1)}
       418:{1,3,6,7}:{(362,1),(363,1),(364,1),(387,1),(464,1),(469,1)}
       419:{1,3,4}:{(365,1),(366,1),(465,1)}
       420:{1,2,4,5}:{(365,1),(367,1),(456,1),(465,1),(466,1),(521,1)}
       421:{2,3,5}:{(366,1),(367,1),(370,1),(465,1),(467,1)}
       422:{2,4,6}:{(367,1),(368,1),(458,1),(467,1),(468,1)}
       423:{1,3,4,7}:{(368,1),(369,1),(372,1),(459,1),(468,1),(469,1),(527,1),(548,1)}
       424:{1,3,6}:{(370,1),(371,1),(467,1),(469,1)}
       425:{1,2,4,7}:{(371,1),(372,1),(373,1),(468,1),(469,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(383,1),(471,1)}
       427:{2,4,5,7}:{(375,1),(384,1),(388,1),(449,1),(470,1),(472,1),(478,1)}
       428:{2,3,5,6}:{(375,1),(378,1),(389,1),(450,1),(472,1),(474,1),(514,1),(528,1),(545,1)}
       429:{2,5,6,7}:{(376,1),(379,1),(386,1),(471,1),(515,1)}
       430:{2,4,6}:{(377,1),(378,1),(391,1),(452,1),(474,1)}
       431:{2,3,6,7}:{(378,1),(379,1),(381,1),(392,1),(453,1),(475,1)}
       432:{2,4,7}:{(380,1),(381,1),(393,1),(454,1)}
       433:{3,4,5}:{(384,1),(476,1)}
       434:{3,5,6}:{(382,1),(476,1),(477,1)}
       435:{2,4,5,7}:{(382,1),(383,1),(386,1),(471,1),(477,1),(478,1)}
       436:{2,4,6}:{(384,1),(385,1),(394,1),(463,1),(476,1),(478,1)}
       437:{2,3,5,7}:{(385,1),(386,1),(387,1),(395,1),(464,1),(477,1),(478,1)}
       438:{1,4,6}:{(388,1),(389,1),(472,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(395,1),(473,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,3,5,6}:{(391,1),(474,1),(479,1),(481,1),(528,1)}
       441:{1,3,4,6,7}:{(391,1),(392,1),(393,1),(475,1),(480,1),(481,1),(529,1)}
       442:{1,4,7}:{(394,1),(395,1),(478,1)}
       443:{1,2,4,7}:{(396,1),(408,1),(482,1),(483,1)}
       444:{2,3,4,7}:{(397,1),(409,1),(482,1),(484,1),(503,1),(541,1)}
       445:{2,3,6,7}:{(399,1),(411,1),(485,1),(505,1)}
       446:{1,3,5,7}:{(397,1),(398,1),(412,1),(484,1),(487,1)}
       447:{1,2,4,6}:{(398,1),(401,1),(487,1),(489,1),(534,1)}
       448:{1,4,6,7}:{(399,1),(402,1),(414,1),(485,1)}
       449:{1,4,5,7}:{(400,1),(415,1),(427,1),(489,1),(500,1)}
       450:{1,3,5,6}:{(400,1),(401,1),(404,1),(428,1),(487,1),(489,1),(491,1)}
       451:{1,2,5,6,7}:{(401,1),(402,1),(405,1),(417,1),(429,1),(488,1),(490,1),(551,1)}
       452:{1,4,6}:{(403,1),(404,1),(430,1),(491,1)}
       453:{1,3,6,7}:{(404,1),(405,1),(407,1),(431,1),(492,1)}
       454:{1,4,7}:{(406,1),(407,1),(432,1)}
       455:{1,3,4,6}:{(408,1),(409,1),(419,1),(482,1),(493,1),(501,1),(532,1),(539,1)}
       456:{1,2,5}:{(408,1),(493,1)}
       457:{2,3,5}:{(409,1),(412,1),(493,1),(495,1)}
       458:{2,5,6}:{(410,1),(422,1),(497,1)}
       459:{1,3,5,7}:{(410,1),(411,1),(414,1),(423,1),(485,1),(497,1)}
       460:{1,3,4,5}:{(412,1),(415,1),(433,1),(495,1),(498,1)}
       461:{1,3,5,6}:{(412,1),(413,1),(424,1),(434,1),(487,1),(496,1),(498,1),(499,1)}
       462:{1,2,4,5,7}:{(413,1),(414,1),(417,1),(425,1),(435,1),(488,1),(497,1),(499,1),(500,1),(538,1),(541,1),(551,1)}
       463:{1,4,6}:{(415,1),(416,1),(436,1),(500,1)}
       464:{1,3,5,7}:{(416,1),(417,1),(418,1),(437,1),(500,1)}
       465:{1,3,5}:{(419,1),(420,1),(421,1),(501,1)}
       466:{1,2,4,6}:{(420,1),(422,1),(494,1),(501,1),(502,1),(539,1)}
       467:{2,3,6}:{(421,1),(422,1),(424,1),(501,1),(503,1)}
       468:{2,4,7}:{(422,1),(423,1),(497,1),(503,1)}
       469:{1,3,7}:{(424,1),(425,1),(503,1)}
       470:{3,4,5,7}:{(427,1),(433,1),(504,1),(509,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(435,1),(505,1)}
       472:{2,4,6}:{(427,1),(428,1),(438,1),(489,1),(504,1)}
       473:{2,3,5,6,7}:{(428,1),(429,1),(431,1),(437,1),(439,1),(490,1),(505,1),(507,1),(508,1),(535,1),(542,1),(551,1)}
       474:{2,5,6}:{(430,1),(440,1),(491,1),(508,1)}
       475:{2,4,6,7}:{(430,1),(431,1),(432,1),(441,1),(492,1),(508,1)}
       476:{3,4,6}:{(433,1),(434,1),(436,1),(509,1)}
       477:{3,5,7}:{(434,1),(435,1),(505,1),(509,1)}
       478:{2,4,7}:{(436,1),(437,1),(442,1),(500,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(440,1),(506,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(442,1),(507,1),(510,1)}
       481:{1,3,5,7}:{(440,1),(441,1),(508,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(455,1),(511,1),(527,1),(548,1)}
       483:{1,2,5,7}:{(443,1),(456,1),(511,1),(512,1)}
       484:{2,3,5,7}:{(444,1),(446,1),(457,1),(511,1),(513,1),(514,1)}
       485:{1,3,6,7}:{(445,1),(448,1),(459,1),(515,1)}
       486:{1,3,4,5,7}:{(446,1),(449,1),(460,1),(470,1),(513,1),(516,1),(526,1),(547,1)}
       487:{1,3,6}:{(446,1),(447,1),(514,1)}
       488:{1,2,4,6,7}:{(447,1),(448,1),(451,1),(462,1),(471,1),(515,1),(517,1),(519,1),(546,1)}
       489:{1,4,6}:{(449,1),(450,1),(472,1)}
       490:{1,3,5,6,7}:{(450,1),(451,1),(453,1),(464,1),(473,1),(517,1),(519,1),(520,1),(547,1)}
       491:{1,5,6}:{(452,1),(474,1),(520,1)}
       492:{1,4,6,7}:{(452,1),(453,1),(454,1),(475,1),(520,1)}
       493:{1,3,5}:{(455,1),(456,1),(457,1),(521,1)}
       494:{1,2,5,6}:{(456,1),(458,1),(466,1),(512,1),(522,1),(523,1)}
       495:{2,4,5}:{(457,1),(460,1),(521,1),(524,1)}
       496:{2,3,5,6}:{(457,1),(458,1),(461,1),(467,1),(514,1),(522,1),(524,1),(525,1),(545,1)}
       497:{2,5,7}:{(458,1),(459,1),(468,1),(515,1)}
       498:{1,3,4,6}:{(460,1),(461,1),(463,1),(476,1),(524,1),(526,1)}
       499:{1,3,5,7}:{(461,1),(462,1),(469,1),(477,1),(517,1),(525,1),(526,1)}
       500:{1,4,7}:{(463,1),(464,1),(478,1)}
       501:{1,3,6}:{(465,1),(466,1),(467,1),(527,1)}
       502:{1,2,4,7}:{(466,1),(468,1),(523,1),(527,1),(548,1)}
       503:{2,3,7}:{(467,1),(468,1),(469,1),(527,1)}
       504:{3,4,6}:{(470,1),(472,1),(528,1)}
       505:{3,6,7}:{(471,1),(477,1)}
       506:{2,4,5,6}:{(472,1),(474,1),(479,1),(518,1),(528,1),(530,1),(545,1)}
       507:{2,4,6,7}:{(472,1),(473,1),(478,1),(480,1),(519,1),(529,1),(530,1)}
       508:{2,5,7}:{(474,1),(475,1),(481,1),(520,1)}
       509:{3,4,7}:{(476,1),(477,1),(478,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(493,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{2,4,5,7}:{(484,1),(486,1),(495,1),(531,1),(534,1),(541,1),(551,1)}
       514:{2,3,6}:{(484,1),(487,1),(532,1),(534,1)}
       515:{2,6,7}:{(485,1),(497,1)}
       516:{1,3,4,6}:{(486,1),(487,1),(489,1),(504,1),(534,1),(536,1)}
       517:{1,3,6,7}:{(487,1),(488,1),(499,1),(505,1),(535,1)}
       518:{1,4,5,6}:{(489,1),(491,1),(506,1),(536,1),(538,1)}
       519:{1,4,6,7}:{(489,1),(490,1),(500,1),(507,1),(538,1)}
       520:{1,5,7}:{(491,1),(492,1),(508,1)}
       521:{1,4,5}:{(493,1),(495,1),(539,1)}
       522:{1,3,5,6}:{(493,1),(494,1),(496,1),(501,1),(532,1),(539,1),(540,1),(549,1)}
       523:{1,2,5,7}:{(494,1),(497,1),(502,1),(533,1),(540,1)}
       524:{2,4,6}:{(495,1),(496,1),(498,1),(539,1),(541,1)}
       525:{2,3,5,7}:{(496,1),(497,1),(499,1),(503,1),(535,1),(540,1),(541,1),(551,1)}
       526:{1,3,4,7}:{(498,1),(499,1),(500,1),(509,1),(541,1)}
       527:{1,3,7}:{(501,1),(502,1),(503,1)}
       528:{3,5,6}:{(504,1),(506,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(507,1),(509,1),(542,1)}
       530:{2,4,5,7}:{(506,1),(507,1),(508,1),(510,1),(538,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(521,1),(543,1),(548,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(514,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(523,1),(544,1)}
       534:{2,4,6}:{(513,1),(514,1),(516,1),(543,1),(545,1)}
       535:{2,3,6,7}:{(514,1),(515,1),(517,1),(525,1),(544,1),(546,1)}
       536:{1,3,5,6}:{(516,1),(518,1),(528,1),(545,1),(547,1)}
       537:{1,3,4,6,7}:{(516,1),(517,1),(519,1),(526,1),(529,1),(546,1),(547,1)}
       538:{1,4,5,7}:{(518,1),(519,1),(520,1),(530,1),(547,1)}
       539:{1,4,6}:{(521,1),(522,1),(524,1),(548,1)}
       540:{1,3,5,7}:{(522,1),(523,1),(525,1),(527,1),(544,1),(548,1),(552,1)}
       541:{2,4,7}:{(524,1),(525,1),(526,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(534,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(540,1),(550,1)}
       545:{2,5,6}:{(534,1),(536,1),(549,1),(551,1)}
       546:{2,4,6,7}:{(534,1),(535,1),(537,1),(541,1),(550,1),(551,1)}
       547:{1,3,5,7}:{(536,1),(537,1),(538,1),(542,1),(551,1)}
       548:{1,4,7}:{(539,1),(540,1),(541,1)}
       549:{1,5,6}:{(543,1),(545,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(546,1),(548,1),(552,1)}
       551:{2,5,7}:{(545,1),(546,1),(547,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2327 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2328 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2329 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(54,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(25,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(32,1),(82,1),(154,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(11,1),(30,1),(42,1),(78,1),(97,1),(147,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(44,1),(99,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(54,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(16,1),(115,1),(194,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(125,1),(135,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(54,1),(62,1),(115,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(24,1),(65,1),(132,1),(206,1)}
        12:{2,3,5,6}:{(5,1),(19,1),(23,1),(25,1),(113,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(134,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(234,1),(286,1)}
        16:{3,4,6,7}:{(7,1),(30,1),(32,1)}
        17:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(32,1),(33,1),(39,1),(74,1),(77,1)}
        18:{2,3,4,5,7}:{(8,1),(34,1),(35,1),(36,1),(70,1),(77,1),(136,1),(157,1),(170,1),(227,1),(278,1),(283,1),(287,1),(309,1)}
        19:{2,3,4,6}:{(8,1),(12,1),(36,1),(37,1),(99,1),(150,1),(161,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(90,1),(172,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(11,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(147,1)}
        24:{1,4,5,7}:{(11,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(37,1),(42,1),(44,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(88,1),(99,1),(148,1),(168,1),(172,1),(229,1),(240,1),(242,1),(243,1),(287,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(105,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(16,1),(46,1),(48,1),(54,1),(107,1),(115,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(16,1),(50,1),(194,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(262,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(50,1),(54,1)}
        33:{1,3,5,6,7}:{(17,1),(22,1),(49,1),(54,1),(55,1),(62,1),(107,1),(110,1),(115,1)}
        34:{2,3,4,6}:{(18,1),(51,1),(56,1),(196,1),(209,1),(261,1),(262,1),(297,1),(313,1)}
        35:{1,3,4,5,7}:{(18,1),(20,1),(56,1),(57,1),(58,1),(102,1),(110,1),(119,1),(173,1),(188,1),(191,1),(208,1),(259,1),(263,1),(296,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(58,1),(132,1),(188,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(25,1),(58,1),(59,1),(123,1),(134,1)}
        38:{2,4,5}:{(20,1),(59,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(115,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(24,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(55,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(58,1),(62,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(63,1),(65,1),(66,1),(111,1),(121,1),(130,1),(132,1),(186,1),(206,1),(208,1),(259,1),(268,1),(300,1)}
        44:{2,5,6}:{(25,1),(59,1),(65,1)}
        45:{1,3,5,6}:{(26,1),(66,1),(68,1),(69,1),(113,1),(123,1),(204,1),(269,1),(302,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(71,1),(78,1),(139,1),(147,1),(217,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(141,1),(219,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(71,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,4,5,7}:{(30,1),(31,1),(32,1),(77,1),(78,1),(283,1)}
        51:{2,3,5,6}:{(31,1),(34,1),(77,1),(79,1),(234,1),(242,1),(282,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(229,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(81,1),(136,1),(153,1),(166,1),(222,1),(231,1),(283,1)}
        54:{1,4,6,7}:{(32,1),(33,1),(78,1),(82,1)}
        55:{2,5,6,7}:{(33,1),(82,1),(92,1),(143,1),(146,1)}
        56:{1,3,4,6}:{(34,1),(35,1),(79,1),(84,1),(150,1),(155,1),(229,1),(243,1),(308,1)}
        57:{2,4,5,7}:{(35,1),(38,1),(84,1),(86,1),(87,1),(138,1),(146,1),(210,1),(226,1),(230,1)}
        58:{1,3,4,7}:{(36,1),(37,1),(42,1),(87,1),(159,1),(169,1)}
        59:{2,4,6}:{(37,1),(38,1),(44,1),(87,1),(89,1)}
        60:{1,2,4,5}:{(38,1),(88,1),(90,1),(164,1),(172,1),(240,1)}
        61:{2,3,5}:{(38,1),(89,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(43,1),(82,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(83,1),(93,1),(94,1),(167,1),(221,1),(225,1),(281,1),(289,1)}
        65:{2,5,7}:{(42,1),(44,1),(87,1),(92,1)}
        66:{1,3,5,7}:{(43,1),(45,1),(93,1),(96,1),(97,1),(147,1),(159,1),(309,1)}
        67:{1,2,5,6}:{(44,1),(88,1),(95,1),(98,1),(240,1),(290,1)}
        68:{2,3,5,6}:{(44,1),(45,1),(89,1),(96,1),(98,1),(99,1),(161,1),(163,1),(239,1),(240,1),(242,1),(290,1)}
        69:{1,3,4,6}:{(45,1),(97,1),(99,1),(100,1),(150,1),(229,1),(286,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(248,1),(254,1)}
        71:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(104,1),(177,1),(251,1),(256,1)}
        72:{2,3,5,6}:{(47,1),(101,1),(103,1),(105,1),(113,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(253,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(115,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(104,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(55,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(194,1),(206,1),(256,1)}
        78:{1,4,5,7}:{(50,1),(52,1),(54,1),(110,1),(111,1),(259,1)}
        79:{1,3,5,6}:{(51,1),(52,1),(56,1),(110,1),(112,1),(113,1),(270,1),(298,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(190,1)}
        81:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(58,1),(62,1),(107,1),(110,1),(114,1),(115,1),(173,1),(188,1),(192,1),(205,1),(255,1),(259,1)}
        82:{2,4,6,7}:{(54,1),(55,1),(111,1),(115,1)}
        83:{2,3,5,6,7}:{(55,1),(64,1),(109,1),(115,1),(116,1),(128,1),(183,1),(187,1),(194,1),(206,1),(256,1),(258,1),(266,1),(303,1),(313,1)}
        84:{2,4,6}:{(56,1),(57,1),(112,1),(118,1)}
        85:{1,2,4,5,7}:{(57,1),(60,1),(117,1),(119,1),(121,1),(175,1),(186,1),(199,1),(208,1),(244,1),(259,1),(263,1),(267,1),(268,1),(296,1),(300,1),(311,1)}
        86:{2,3,5,7}:{(57,1),(61,1),(118,1),(119,1),(120,1),(122,1),(176,1),(198,1),(245,1)}
        87:{2,4,7}:{(58,1),(59,1),(65,1),(122,1)}
        88:{1,2,4,6}:{(59,1),(60,1),(67,1),(121,1),(123,1),(134,1),(203,1)}
        89:{2,3,6}:{(59,1),(61,1),(122,1),(123,1)}
        90:{1,3,5}:{(60,1),(61,1),(123,1),(125,1),(126,1)}
        91:{2,3,4}:{(61,1),(126,1)}
        92:{2,6,7}:{(62,1),(65,1)}
        93:{1,3,6,7}:{(63,1),(66,1),(115,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(116,1),(130,1),(259,1),(301,1)}
        95:{1,2,5,7}:{(65,1),(67,1),(121,1),(127,1),(131,1),(268,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(68,1),(122,1),(128,1),(131,1),(132,1),(200,1),(206,1),(268,1)}
        97:{1,3,4,7}:{(66,1),(69,1),(132,1),(188,1),(259,1),(299,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(123,1),(131,1),(134,1),(204,1),(269,1),(270,1)}
        99:{2,4,6}:{(68,1),(69,1),(132,1),(134,1),(135,1)}
       100:{1,3,4,5}:{(69,1),(135,1),(191,1),(204,1),(263,1),(302,1)}
       101:{2,3,4,6}:{(70,1),(72,1),(136,1),(137,1),(150,1),(219,1),(273,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(213,1),(280,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(147,1)}
       104:{1,4,5,7}:{(71,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(137,1),(139,1),(141,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(148,1),(211,1),(219,1),(224,1),(229,1),(280,1),(282,1),(287,1),(307,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(82,1),(140,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(83,1),(144,1),(145,1),(165,1),(223,1),(225,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(81,1),(146,1),(147,1),(241,1),(281,1)}
       111:{2,4,5,7}:{(78,1),(80,1),(82,1),(146,1),(147,1),(226,1)}
       112:{2,5,6}:{(79,1),(84,1),(146,1)}
       113:{3,5,6}:{(80,1),(147,1),(150,1)}
       114:{2,4,6,7}:{(81,1),(84,1),(87,1),(92,1),(143,1),(146,1),(152,1),(210,1),(226,1)}
       115:{3,6,7}:{(82,1),(147,1)}
       116:{2,4,6,7}:{(83,1),(94,1),(145,1),(153,1),(154,1),(226,1),(283,1),(285,1),(310,1)}
       117:{1,2,4,6}:{(84,1),(85,1),(148,1),(155,1),(229,1),(235,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       118:{2,3,6}:{(84,1),(86,1),(155,1)}
       119:{1,3,5,7}:{(85,1),(86,1),(90,1),(155,1),(157,1),(158,1),(159,1),(213,1),(236,1),(271,1),(309,1)}
       120:{2,3,4,7}:{(86,1),(91,1),(156,1),(158,1),(214,1),(226,1)}
       121:{1,2,4,7}:{(87,1),(88,1),(95,1),(159,1),(169,1),(237,1)}
       122:{2,3,7}:{(87,1),(89,1),(159,1)}
       123:{1,3,6}:{(88,1),(89,1),(90,1),(159,1),(161,1)}
       124:{2,3,4,6}:{(89,1),(91,1),(99,1),(160,1),(162,1),(163,1),(239,1),(286,1)}
       125:{2,3,5}:{(90,1),(161,1),(164,1),(240,1)}
       126:{1,3,4}:{(90,1),(91,1),(164,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(96,1),(165,1),(166,1),(239,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(153,1),(166,1),(167,1),(171,1)}
       130:{1,4,5,7}:{(94,1),(154,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(98,1),(159,1),(165,1),(169,1),(241,1)}
       132:{2,4,7}:{(96,1),(97,1),(99,1),(169,1)}
       133:{1,3,4,5,7}:{(97,1),(100,1),(167,1),(170,1),(171,1),(227,1),(238,1),(284,1),(309,1)}
       134:{1,4,6}:{(98,1),(99,1),(169,1),(172,1)}
       135:{2,4,5}:{(99,1),(100,1),(163,1),(172,1),(240,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(173,1),(188,1),(251,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(105,1),(173,1),(174,1),(246,1),(253,1)}
       138:{2,4,5}:{(102,1),(174,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(173,1),(177,1)}
       140:{1,2,4,5,7}:{(104,1),(106,1),(108,1),(111,1),(177,1),(178,1),(185,1),(186,1),(244,1),(251,1),(256,1),(259,1),(296,1),(300,1),(311,1)}
       141:{2,5,6}:{(105,1),(174,1),(177,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(178,1),(180,1),(181,1),(246,1),(295,1),(302,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(177,1)}
       144:{1,3,6,7}:{(108,1),(115,1),(178,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(116,1),(185,1),(259,1),(301,1)}
       146:{2,5,7}:{(110,1),(112,1),(114,1)}
       147:{3,5,7}:{(111,1),(113,1),(115,1),(188,1)}
       148:{1,2,5,6}:{(112,1),(117,1),(186,1),(189,1),(267,1),(270,1),(298,1),(303,1)}
       149:{2,3,5,6}:{(112,1),(113,1),(118,1),(187,1),(189,1),(190,1),(198,1)}
       150:{3,4,6}:{(113,1),(188,1),(190,1),(191,1)}
       151:{1,2,4,6,7}:{(114,1),(117,1),(121,1),(127,1),(182,1),(186,1),(192,1),(205,1),(244,1),(255,1),(259,1),(264,1)}
       152:{2,3,6,7}:{(114,1),(115,1),(118,1),(122,1),(187,1),(192,1),(245,1)}
       153:{3,4,6,7}:{(115,1),(116,1),(188,1),(194,1),(261,1),(299,1),(313,1)}
       154:{2,4,5,7}:{(116,1),(130,1),(185,1),(194,1),(195,1),(206,1),(256,1)}
       155:{1,3,6}:{(117,1),(118,1),(119,1),(196,1),(313,1)}
       156:{2,3,4,6}:{(118,1),(120,1),(190,1),(197,1),(198,1)}
       157:{2,3,5,7}:{(119,1),(125,1),(196,1),(199,1),(200,1),(248,1),(267,1),(268,1),(291,1),(311,1)}
       158:{1,3,4,7}:{(119,1),(120,1),(126,1),(197,1),(199,1),(249,1),(259,1),(299,1)}
       159:{1,3,7}:{(121,1),(122,1),(123,1),(200,1)}
       160:{2,3,4,7}:{(122,1),(124,1),(132,1),(201,1),(202,1),(299,1)}
       161:{2,3,6}:{(123,1),(125,1),(200,1),(203,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(134,1),(201,1),(203,1),(204,1),(269,1)}
       163:{2,3,5}:{(124,1),(135,1),(204,1),(302,1)}
       164:{2,4}:{(125,1),(126,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(132,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(194,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(195,1),(207,1),(298,1),(301,1)}
       169:{1,4,7}:{(131,1),(132,1),(134,1)}
       170:{2,4,5,7}:{(132,1),(133,1),(135,1),(202,1),(206,1),(208,1),(209,1),(268,1)}
       171:{1,3,4,6}:{(133,1),(207,1),(209,1),(261,1),(269,1),(301,1),(313,1)}
       172:{1,4,5}:{(134,1),(135,1),(204,1)}
       173:{1,3,4,7}:{(136,1),(137,1),(139,1),(210,1),(271,1),(277,1)}
       174:{2,4,6}:{(137,1),(138,1),(141,1),(210,1),(212,1)}
       175:{1,2,4,5}:{(138,1),(211,1),(213,1),(276,1),(280,1),(307,1)}
       176:{2,3,5}:{(138,1),(212,1),(213,1),(214,1)}
       177:{2,5,7}:{(139,1),(141,1),(143,1),(210,1)}
       178:{1,3,5,7}:{(140,1),(142,1),(144,1),(147,1),(216,1),(217,1),(271,1),(309,1)}
       179:{1,2,5,6}:{(141,1),(211,1),(215,1),(218,1),(307,1),(314,1)}
       180:{2,3,5,6}:{(141,1),(142,1),(212,1),(216,1),(218,1),(219,1),(273,1),(275,1),(282,1),(306,1),(307,1),(314,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(217,1),(219,1),(220,1),(229,1),(286,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(216,1),(221,1),(222,1),(306,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(153,1),(217,1),(222,1),(223,1),(279,1)}
       185:{1,4,5,7}:{(145,1),(154,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(148,1),(151,1),(225,1),(241,1),(281,1),(288,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(149,1),(152,1),(225,1),(226,1)}
       188:{3,4,7}:{(147,1),(150,1),(226,1)}
       189:{1,3,5,6}:{(148,1),(149,1),(155,1),(225,1),(228,1),(229,1),(236,1)}
       190:{2,4,6}:{(149,1),(150,1),(226,1),(229,1),(230,1)}
       191:{3,4,5}:{(150,1),(230,1)}
       192:{1,3,6,7}:{(151,1),(152,1),(155,1),(159,1),(225,1),(231,1),(271,1)}
       193:{2,3,4,6,7}:{(152,1),(153,1),(156,1),(160,1),(166,1),(222,1),(226,1),(232,1),(233,1),(239,1),(272,1),(285,1),(306,1)}
       194:{3,5,7}:{(153,1),(154,1),(234,1)}
       195:{2,4,5,6}:{(154,1),(168,1),(224,1),(234,1),(242,1),(282,1),(285,1),(310,1)}
       196:{2,3,6}:{(155,1),(157,1),(235,1),(290,1),(314,1)}
       197:{1,3,4,6}:{(155,1),(156,1),(158,1),(229,1),(235,1),(236,1),(286,1)}
       198:{2,3,5}:{(156,1),(230,1),(236,1)}
       199:{2,4,7}:{(157,1),(158,1),(164,1),(235,1),(276,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{1,3,4,7}:{(159,1),(160,1),(162,1),(169,1),(237,1),(238,1)}
       202:{2,3,5,7}:{(160,1),(163,1),(170,1),(238,1),(239,1),(309,1)}
       203:{2,4,6}:{(161,1),(162,1),(164,1),(237,1),(240,1),(290,1)}
       204:{1,3,5}:{(162,1),(163,1),(172,1),(240,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(171,1),(234,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(172,1),(238,1),(241,1),(243,1)}
       209:{2,4,6}:{(170,1),(171,1),(239,1),(242,1),(243,1),(290,1)}
       210:{2,4,7}:{(173,1),(174,1),(177,1),(245,1)}
       211:{1,2,4,6}:{(174,1),(175,1),(179,1),(244,1),(246,1),(253,1),(294,1)}
       212:{2,3,6}:{(174,1),(176,1),(245,1),(246,1)}
       213:{1,3,5}:{(175,1),(176,1),(246,1),(248,1),(249,1)}
       214:{2,3,4}:{(176,1),(249,1)}
       215:{1,2,5,7}:{(177,1),(179,1),(182,1),(244,1),(250,1),(311,1)}
       216:{2,3,5,7}:{(177,1),(178,1),(180,1),(183,1),(245,1),(250,1),(251,1),(256,1),(291,1),(311,1)}
       217:{1,3,4,7}:{(178,1),(181,1),(188,1),(251,1),(259,1),(299,1)}
       218:{1,3,5,6}:{(179,1),(180,1),(246,1),(250,1),(253,1),(295,1),(298,1),(312,1)}
       219:{2,4,6}:{(180,1),(181,1),(251,1),(253,1),(254,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(254,1),(263,1),(295,1),(302,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(251,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(194,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(195,1),(257,1),(270,1),(301,1)}
       225:{1,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(258,1),(259,1)}
       226:{2,4,7}:{(187,1),(188,1),(190,1),(259,1)}
       227:{3,4,5,7}:{(188,1),(191,1),(194,1),(260,1),(261,1)}
       228:{2,3,5,6}:{(189,1),(196,1),(258,1),(262,1),(267,1),(302,1),(303,1),(313,1)}
       229:{1,4,6}:{(189,1),(190,1),(259,1),(262,1),(263,1)}
       230:{2,4,5}:{(190,1),(191,1),(198,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(196,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{1,3,4,6,7}:{(192,1),(193,1),(197,1),(201,1),(205,1),(255,1),(259,1),(264,1),(265,1),(269,1),(292,1),(299,1),(301,1),(312,1),(313,1)}
       233:{2,3,5,7}:{(193,1),(194,1),(198,1),(206,1),(256,1),(260,1),(265,1),(266,1)}
       234:{3,5,6}:{(194,1),(195,1),(261,1),(313,1)}
       235:{2,4,6}:{(196,1),(197,1),(199,1),(267,1)}
       236:{1,3,5}:{(197,1),(198,1),(263,1),(267,1),(302,1)}
       237:{2,4,7}:{(200,1),(201,1),(203,1),(268,1)}
       238:{1,3,5,7}:{(201,1),(202,1),(204,1),(208,1),(268,1),(269,1)}
       239:{2,3,6}:{(202,1),(209,1),(269,1),(313,1)}
       240:{2,5}:{(203,1),(204,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{1,2,4,7}:{(210,1),(211,1),(215,1),(271,1),(277,1),(304,1)}
       245:{2,3,7}:{(210,1),(212,1),(271,1)}
       246:{1,3,6}:{(211,1),(212,1),(213,1),(271,1),(273,1)}
       247:{2,3,4,6}:{(212,1),(214,1),(219,1),(272,1),(274,1),(275,1),(286,1),(306,1)}
       248:{2,3,5}:{(213,1),(273,1),(276,1),(307,1)}
       249:{1,3,4}:{(213,1),(214,1),(276,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(218,1),(221,1),(271,1),(277,1),(281,1)}
       251:{2,4,7}:{(216,1),(217,1),(219,1),(277,1)}
       252:{1,3,4,5,7}:{(217,1),(220,1),(223,1),(227,1),(278,1),(279,1),(284,1),(305,1),(309,1)}
       253:{1,4,6}:{(218,1),(219,1),(277,1),(280,1)}
       254:{2,4,5}:{(219,1),(220,1),(275,1),(280,1),(307,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(234,1),(279,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(228,1),(231,1),(283,1),(288,1),(309,1)}
       259:{1,4,7}:{(225,1),(226,1),(229,1),(283,1)}
       260:{2,4,5,7}:{(226,1),(227,1),(230,1),(233,1),(284,1),(285,1)}
       261:{3,4,6}:{(227,1),(234,1),(285,1)}
       262:{2,4,6}:{(228,1),(229,1),(283,1),(286,1),(287,1)}
       263:{1,4,5}:{(229,1),(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(235,1),(237,1),(283,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{1,3,5,7}:{(232,1),(233,1),(236,1),(241,1),(281,1),(284,1),(288,1),(289,1),(309,1)}
       266:{2,3,5,6}:{(233,1),(234,1),(239,1),(242,1),(282,1),(285,1),(289,1),(306,1)}
       267:{2,5}:{(235,1),(236,1)}
       268:{2,5,7}:{(237,1),(238,1),(240,1),(290,1)}
       269:{1,3,6}:{(238,1),(239,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{1,3,7}:{(244,1),(245,1),(246,1),(291,1)}
       272:{2,3,4,7}:{(245,1),(247,1),(251,1),(292,1),(293,1),(299,1)}
       273:{2,3,6}:{(246,1),(248,1),(291,1),(294,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(253,1),(292,1),(294,1),(295,1),(312,1)}
       275:{2,3,5}:{(247,1),(254,1),(295,1),(302,1)}
       276:{2,4}:{(248,1),(249,1)}
       277:{1,4,7}:{(250,1),(251,1),(253,1)}
       278:{2,4,5,7}:{(251,1),(252,1),(254,1),(256,1),(293,1),(296,1),(297,1),(311,1)}
       279:{1,3,4,6}:{(252,1),(257,1),(261,1),(297,1),(301,1),(312,1),(313,1)}
       280:{1,4,5}:{(253,1),(254,1),(295,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{2,4,7}:{(258,1),(259,1),(262,1),(299,1)}
       284:{1,4,5,7}:{(259,1),(260,1),(263,1),(265,1),(300,1),(301,1)}
       285:{2,4,6}:{(260,1),(261,1),(266,1),(301,1)}
       286:{3,4,6}:{(262,1),(299,1),(302,1),(313,1)}
       287:{2,4,5}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(267,1),(303,1)}
       289:{1,3,5,6}:{(265,1),(266,1),(269,1),(270,1),(298,1),(301,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{1,3,4,7}:{(271,1),(272,1),(274,1),(277,1),(304,1),(305,1)}
       293:{2,3,5,7}:{(272,1),(275,1),(278,1),(305,1),(306,1),(309,1)}
       294:{2,4,6}:{(273,1),(274,1),(276,1),(304,1),(307,1),(314,1)}
       295:{1,3,5}:{(274,1),(275,1),(280,1),(307,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(280,1),(281,1),(305,1),(308,1)}
       297:{2,4,6}:{(278,1),(279,1),(282,1),(306,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(286,1),(309,1)}
       300:{2,4,5,7}:{(283,1),(284,1),(287,1),(288,1),(309,1),(310,1)}
       301:{1,4,6}:{(284,1),(285,1),(289,1),(310,1)}
       302:{3,5}:{(286,1),(287,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(294,1),(311,1)}
       305:{1,3,5,7}:{(292,1),(293,1),(295,1),(296,1),(311,1),(312,1)}
       306:{2,3,6}:{(293,1),(297,1),(312,1),(313,1)}
       307:{2,5}:{(294,1),(295,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(302,1),(313,1)}
       310:{2,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(307,1),(314,1)}
       312:{1,3,6}:{(305,1),(306,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2330 :   0:{1,2,3,6,7}:{(2,1),(3,1),(48,1),(106,1),(172,1),(272,1),(376,1),(380,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(19,1),(48,1),(54,1),(174,1),(272,1),(274,1),(276,1),(375,1),(379,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(29,1),(130,1),(143,1),(220,1),(327,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(81,1),(328,1),(330,1),(424,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(79,1),(225,1),(425,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(92,1),(109,1),(169,1),(194,1),(297,1),(512,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(17,1),(45,1),(48,1),(94,1),(170,1),(268,1),(376,1),(377,1),(467,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(188,1),(379,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(17,1),(112,1),(467,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(52,1),(379,1),(468,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(19,1),(20,1),(48,1),(276,1),(277,1)}
        11:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(62,1),(76,1),(147,1),(216,1),(247,1)}
        12:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(63,1),(209,1),(348,1),(485,1),(487,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(31,1),(64,1),(66,1),(74,1),(128,1),(133,1),(143,1),(216,1),(340,1),(341,1),(438,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(25,1),(26,1),(27,1),(321,1),(427,1)}
        15:{1,2,5,6}:{(7,1),(26,1),(29,1),(142,1),(220,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(27,1),(29,1),(30,1),(72,1)}
        17:{1,3,4,7}:{(8,1),(10,1),(30,1),(31,1),(330,1)}
        18:{1,2,4,5,6}:{(9,1),(29,1),(33,1),(34,1),(69,1),(79,1),(142,1),(151,1),(222,1),(236,1),(322,1),(336,1),(425,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{2,3,4,6}:{(10,1),(31,1),(35,1),(36,1),(74,1),(79,1),(238,1),(239,1)}
        21:{1,2,3,5,6}:{(12,1),(37,1),(39,1),(86,1),(92,1),(161,1),(194,1),(296,1),(300,1),(359,1),(449,1),(451,1)}
        22:{1,3,4,6,7}:{(11,1),(13,1),(38,1),(41,1),(50,1),(89,1),(92,1),(107,1),(190,1),(297,1),(298,1),(399,1)}
        23:{1,2,5,7}:{(11,1),(38,1),(39,1),(266,1),(300,1)}
        24:{1,2,4,7}:{(12,1),(37,1),(41,1),(259,1),(399,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(38,1),(42,1),(43,1),(177,1),(188,1),(266,1),(393,1)}
        26:{1,3,5,6}:{(14,1),(15,1),(42,1),(45,1),(48,1),(170,1),(267,1)}
        27:{1,4,5,7}:{(14,1),(43,1),(45,1),(467,1),(468,1)}
        28:{1,2,5,6,7}:{(15,1),(44,1),(47,1),(188,1),(271,1),(294,1),(374,1),(389,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(45,1),(48,1),(104,1)}
        30:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1)}
        31:{2,3,4,7}:{(17,1),(20,1),(49,1),(50,1),(112,1),(292,1)}
        32:{1,3,4,5}:{(19,1),(51,1),(52,1),(468,1),(476,1)}
        33:{1,2,4,5,7}:{(18,1),(47,1),(53,1),(101,1),(112,1),(188,1),(197,1),(275,1),(290,1),(374,1),(387,1),(467,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(48,1),(51,1),(53,1),(54,1),(276,1),(388,1)}
        35:{2,3,5}:{(19,1),(20,1),(52,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(50,1),(55,1),(56,1),(107,1),(113,1),(200,1),(201,1)}
        37:{1,2,4,6}:{(21,1),(24,1),(57,1),(58,1),(207,1),(349,1),(409,1)}
        38:{1,3,5,7}:{(22,1),(23,1),(25,1),(59,1),(60,1),(241,1),(351,1)}
        39:{1,2,5,6}:{(23,1),(59,1),(62,1),(147,1),(215,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(57,1),(60,1),(62,1),(63,1),(126,1)}
        41:{1,3,4,7}:{(24,1),(58,1),(63,1),(64,1),(487,1)}
        42:{2,3,5,6}:{(25,1),(26,1),(59,1),(66,1),(74,1),(128,1),(132,1),(142,1),(215,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(60,1),(66,1),(67,1),(438,1),(439,1)}
        44:{1,3,5,6,7}:{(26,1),(28,1),(65,1),(70,1),(73,1),(141,1),(219,1),(321,1),(424,1)}
        45:{1,4,6}:{(26,1),(27,1),(66,1)}
        46:{1,3,4,5,7}:{(27,1),(30,1),(32,1),(67,1),(71,1),(72,1),(78,1),(141,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(70,1),(73,1),(143,1),(248,1),(342,1),(434,1)}
        48:{1,3,6}:{(29,1),(30,1),(74,1)}
        49:{2,3,5,7}:{(30,1),(31,1),(35,1),(72,1),(74,1),(75,1)}
        50:{1,3,4,7}:{(31,1),(36,1),(75,1),(76,1),(152,1),(251,1)}
        51:{1,3,4,6}:{(32,1),(34,1),(78,1),(79,1),(425,1),(436,1)}
        52:{2,4,5}:{(32,1),(35,1),(79,1),(80,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(73,1),(78,1),(81,1),(330,1),(435,1)}
        54:{2,3,5,6}:{(34,1),(35,1),(74,1),(79,1),(81,1),(82,1),(142,1),(236,1),(238,1)}
        55:{1,3,5}:{(35,1),(36,1),(80,1),(83,1)}
        56:{1,2,4,6}:{(36,1),(76,1),(83,1),(84,1),(147,1),(157,1)}
        57:{1,2,4,5}:{(37,1),(86,1),(159,1),(300,1),(400,1)}
        58:{1,3,4,6}:{(37,1),(41,1),(86,1),(87,1),(92,1),(451,1),(452,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(42,1),(89,1),(92,1),(107,1),(189,1)}
        60:{1,4,5,7}:{(38,1),(43,1),(89,1),(399,1),(400,1)}
        61:{1,2,5,6,7}:{(39,1),(88,1),(91,1),(193,1),(266,1),(295,1),(373,1),(389,1)}
        62:{1,2,4,6}:{(39,1),(40,1),(89,1),(92,1),(167,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(86,1),(92,1),(93,1)}
        64:{2,3,4,7}:{(41,1),(87,1),(93,1),(94,1),(259,1),(458,1)}
        65:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(96,1),(106,1),(169,1),(177,1),(188,1),(266,1),(389,1),(390,1),(474,1)}
        66:{2,4,6}:{(42,1),(43,1),(45,1),(89,1),(97,1)}
        67:{3,4,5,7}:{(43,1),(97,1),(177,1),(475,1),(476,1)}
        68:{2,3,4,5}:{(52,1),(99,1),(100,1),(186,1),(396,1),(476,1)}
        69:{1,4,5,6}:{(45,1),(95,1),(101,1),(102,1),(267,1)}
        70:{1,4,6,7}:{(44,1),(45,1),(96,1),(101,1),(467,1)}
        71:{1,3,4,6}:{(45,1),(46,1),(48,1),(97,1),(102,1),(104,1)}
        72:{2,4,5,7}:{(46,1),(49,1),(52,1),(104,1),(105,1),(112,1),(188,1)}
        73:{1,3,6,7}:{(47,1),(48,1),(53,1),(106,1),(474,1)}
        74:{2,3,6}:{(48,1),(49,1),(104,1),(107,1)}
        75:{1,3,5,7}:{(49,1),(50,1),(55,1),(105,1),(107,1),(108,1)}
        76:{1,2,4,7}:{(50,1),(56,1),(108,1),(109,1)}
        77:{1,3,4,5,6}:{(51,1),(102,1),(110,1),(111,1),(175,1),(183,1),(282,1),(303,1),(388,1),(484,1)}
        78:{1,3,4,7}:{(51,1),(53,1),(112,1),(467,1),(475,1)}
        79:{2,4,6}:{(51,1),(52,1),(54,1),(112,1),(113,1)}
        80:{1,4,5}:{(52,1),(55,1),(113,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(106,1),(112,1),(115,1),(188,1),(290,1),(292,1)}
        82:{1,3,5,6}:{(54,1),(55,1),(107,1),(113,1),(115,1),(116,1),(189,1),(200,1)}
        83:{1,2,5}:{(55,1),(56,1)}
        84:{1,2,3,6}:{(56,1),(109,1),(117,1),(200,1)}
        85:{1,2,4,5,6}:{(57,1),(62,1),(119,1),(120,1),(123,1),(207,1),(215,1),(242,1),(313,1),(336,1),(349,1),(406,1),(412,1)}
        86:{1,3,5}:{(57,1),(58,1),(121,1)}
        87:{2,3,4,6}:{(58,1),(64,1),(121,1),(122,1),(128,1),(207,1),(414,1),(415,1)}
        88:{1,3,5,6,7}:{(59,1),(61,1),(65,1),(124,1),(127,1),(146,1),(214,1),(241,1),(348,1)}
        89:{1,4,6}:{(59,1),(60,1),(66,1)}
        90:{1,3,4,5,7}:{(60,1),(63,1),(67,1),(118,1),(125,1),(126,1),(206,1),(214,1)}
        91:{1,2,4,6,7}:{(61,1),(62,1),(119,1),(124,1),(127,1),(216,1),(416,1),(434,1),(491,1)}
        92:{1,3,6}:{(62,1),(63,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(121,1),(126,1),(128,1),(129,1)}
        94:{1,3,4,7}:{(64,1),(122,1),(129,1),(130,1),(314,1),(419,1)}
        95:{2,4,5,6}:{(66,1),(69,1),(123,1),(131,1),(132,1),(142,1),(215,1)}
        96:{2,4,6,7}:{(65,1),(66,1),(70,1),(124,1),(131,1),(133,1),(438,1)}
        97:{3,4,6}:{(66,1),(67,1),(132,1)}
        98:{2,3,4,5,7}:{(67,1),(68,1),(72,1),(126,1),(134,1),(135,1),(137,1),(204,1),(229,1),(233,1),(308,1),(438,1),(439,1),(442,1),(507,1),(537,1)}
        99:{2,3,4,6}:{(68,1),(79,1),(136,1),(137,1),(138,1),(238,1),(344,1),(436,1)}
       100:{1,3,4,5}:{(68,1),(80,1),(138,1),(139,1),(154,1),(223,1),(431,1)}
       101:{1,4,5,7}:{(69,1),(70,1),(131,1),(141,1),(321,1)}
       102:{1,3,5,6}:{(69,1),(71,1),(132,1),(141,1),(142,1)}
       103:{1,3,4,6,7}:{(70,1),(71,1),(73,1),(78,1),(133,1),(141,1),(143,1)}
       104:{2,4,6}:{(71,1),(72,1),(74,1),(142,1),(144,1)}
       105:{1,4,5,7}:{(72,1),(75,1),(80,1),(144,1),(152,1),(241,1)}
       106:{2,3,6,7}:{(73,1),(74,1),(81,1),(143,1),(146,1),(342,1)}
       107:{1,3,6}:{(74,1),(75,1),(144,1),(147,1)}
       108:{1,2,5,7}:{(75,1),(76,1),(83,1),(147,1)}
       109:{1,2,3,7}:{(76,1),(84,1),(251,1)}
       110:{1,3,4,5,7}:{(77,1),(78,1),(141,1),(149,1),(150,1),(226,1),(235,1),(335,1),(354,1),(435,1),(447,1)}
       111:{2,4,5,6}:{(77,1),(79,1),(136,1),(142,1),(150,1),(151,1),(236,1),(344,1),(510,1)}
       112:{2,4,7}:{(78,1),(79,1),(81,1),(152,1)}
       113:{1,4,6}:{(79,1),(80,1),(82,1),(152,1)}
       114:{1,2,4,5}:{(80,1),(83,1),(139,1),(153,1),(154,1),(157,1)}
       115:{1,3,5,7}:{(81,1),(82,1),(146,1),(152,1),(155,1),(241,1),(251,1)}
       116:{1,2,5,6}:{(82,1),(83,1),(147,1),(153,1),(155,1),(236,1)}
       117:{1,2,3,5}:{(83,1),(84,1),(154,1),(157,1)}
       118:{1,3,4,5}:{(86,1),(158,1),(159,1),(400,1),(476,1)}
       119:{1,2,4,5,7}:{(85,1),(91,1),(160,1),(164,1),(259,1),(266,1),(295,1),(366,1),(387,1),(399,1),(450,1),(456,1)}
       120:{1,3,5,6}:{(85,1),(86,1),(92,1),(158,1),(160,1),(161,1),(388,1),(451,1)}
       121:{2,3,5}:{(86,1),(87,1),(159,1),(162,1)}
       122:{1,3,4,6}:{(87,1),(94,1),(162,1),(163,1),(170,1),(260,1),(369,1),(370,1)}
       123:{1,4,5,6}:{(89,1),(95,1),(164,1),(165,1),(189,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(96,1),(164,1),(399,1)}
       125:{1,3,4,6}:{(89,1),(90,1),(92,1),(97,1),(165,1),(167,1)}
       126:{2,4,5,7}:{(90,1),(93,1),(159,1),(167,1),(168,1),(259,1),(266,1)}
       127:{1,3,6,7}:{(91,1),(92,1),(160,1),(169,1),(474,1)}
       128:{2,3,6}:{(92,1),(93,1),(167,1),(170,1)}
       129:{1,3,5,7}:{(93,1),(94,1),(162,1),(168,1),(170,1),(171,1)}
       130:{1,2,4,7}:{(94,1),(163,1),(171,1),(172,1)}
       131:{2,4,5,7}:{(95,1),(96,1),(101,1),(164,1),(177,1),(188,1),(266,1)}
       132:{3,5,6}:{(95,1),(97,1),(177,1)}
       133:{3,4,6,7}:{(96,1),(97,1),(177,1),(474,1),(475,1)}
       134:{2,3,4,6}:{(97,1),(98,1),(104,1),(167,1),(178,1),(180,1),(287,1),(391,1),(481,1),(529,1),(547,1)}
       135:{1,3,4,5,7}:{(98,1),(100,1),(105,1),(168,1),(180,1),(181,1),(184,1),(192,1),(256,1),(270,1),(284,1),(362,1),(399,1),(400,1),(467,1),(468,1),(472,1),(475,1),(476,1),(544,1)}
       136:{2,3,5,6}:{(99,1),(111,1),(182,1),(183,1),(388,1)}
       137:{2,3,4,7}:{(99,1),(112,1),(182,1),(184,1),(292,1),(395,1),(475,1)}
       138:{1,3,4,6}:{(99,1),(100,1),(113,1),(183,1),(184,1),(185,1),(200,1),(276,1),(382,1)}
       139:{2,4,5}:{(100,1),(185,1),(186,1)}
       140:{1,4,5,6,7}:{(101,1),(176,1),(187,1),(373,1),(386,1),(482,1)}
       141:{1,3,5,7}:{(101,1),(102,1),(103,1),(177,1),(188,1)}
       142:{2,5,6}:{(102,1),(104,1),(188,1),(189,1)}
       143:{2,4,6,7}:{(103,1),(104,1),(106,1),(112,1),(188,1),(190,1)}
       144:{1,4,6}:{(104,1),(105,1),(107,1),(189,1)}
       145:{1,2,4,5,7}:{(105,1),(108,1),(114,1),(181,1),(191,1),(192,1),(195,1),(199,1),(295,1),(300,1),(358,1),(399,1),(400,1),(450,1),(517,1),(544,1)}
       146:{1,3,6,7}:{(106,1),(107,1),(115,1),(190,1),(193,1)}
       147:{1,2,6}:{(107,1),(108,1)}
       148:{1,2,3,5,7}:{(108,1),(109,1),(117,1),(192,1),(194,1),(195,1),(300,1),(359,1),(453,1),(517,1)}
       149:{1,3,4,6,7}:{(110,1),(187,1),(196,1),(280,1),(289,1),(386,1),(474,1)}
       150:{2,4,5,7}:{(110,1),(111,1),(112,1),(182,1),(188,1),(196,1),(197,1),(290,1),(395,1),(480,1)}
       151:{1,4,5,6}:{(111,1),(113,1),(183,1),(189,1),(197,1),(382,1),(527,1)}
       152:{1,4,7}:{(112,1),(113,1),(115,1)}
       153:{1,2,4,6}:{(113,1),(114,1),(116,1),(185,1),(199,1),(200,1)}
       154:{1,3,5}:{(114,1),(186,1),(200,1),(201,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(193,1),(199,1),(290,1)}
       156:{1,2,3,5,6}:{(116,1),(117,1),(194,1),(200,1),(202,1),(203,1),(291,1),(296,1),(300,1),(305,1),(402,1),(405,1)}
       157:{1,2,4}:{(117,1),(201,1)}
       158:{1,3,4,6}:{(118,1),(120,1),(206,1),(207,1),(349,1),(436,1)}
       159:{2,4,5}:{(118,1),(121,1),(207,1),(208,1)}
       160:{1,3,5,7}:{(119,1),(120,1),(127,1),(206,1),(209,1),(435,1),(487,1)}
       161:{2,3,5,6}:{(120,1),(121,1),(128,1),(207,1),(209,1),(210,1),(215,1),(412,1),(414,1)}
       162:{1,3,5}:{(121,1),(122,1),(208,1),(211,1)}
       163:{1,2,4,6}:{(122,1),(130,1),(211,1),(212,1),(220,1),(319,1)}
       164:{1,4,5,7}:{(123,1),(124,1),(131,1),(214,1),(241,1)}
       165:{1,3,5,6}:{(123,1),(125,1),(132,1),(214,1),(215,1)}
       166:{1,3,4,6,7}:{(124,1),(125,1),(127,1),(133,1),(206,1),(214,1),(216,1)}
       167:{2,4,6}:{(125,1),(126,1),(128,1),(215,1),(217,1)}
       168:{1,4,5,7}:{(126,1),(129,1),(208,1),(217,1),(314,1),(321,1)}
       169:{2,3,6,7}:{(127,1),(128,1),(209,1),(216,1),(219,1),(491,1)}
       170:{1,3,6}:{(128,1),(129,1),(217,1),(220,1)}
       171:{1,2,5,7}:{(129,1),(130,1),(211,1),(220,1)}
       172:{1,2,3,7}:{(130,1),(212,1),(419,1)}
       173:{1,2,4,5}:{(139,1),(222,1),(223,1),(225,1),(333,1),(431,1)}
       174:{1,2,3,5}:{(223,1),(224,1),(225,1),(333,1)}
       175:{3,4,5,6}:{(132,1),(226,1),(227,1),(436,1),(542,1)}
       176:{2,4,5,6,7}:{(131,1),(140,1),(213,1),(228,1),(240,1),(320,1),(334,1),(434,1),(508,1)}
       177:{3,5,7}:{(131,1),(132,1),(133,1)}
       178:{2,3,5,6}:{(132,1),(134,1),(142,1),(215,1),(227,1),(229,1),(230,1),(510,1),(542,1),(551,1)}
       179:{2,3,4,6,7}:{(133,1),(134,1),(137,1),(143,1),(216,1),(229,1),(231,1),(234,1),(308,1),(334,1),(340,1),(410,1),(438,1),(441,1),(506,1),(536,1)}
       180:{1,3,4,6}:{(134,1),(135,1),(144,1),(217,1),(230,1),(232,1),(244,1),(324,1),(349,1),(425,1),(436,1),(505,1),(550,1)}
       181:{2,4,5,7}:{(135,1),(139,1),(232,1),(233,1),(237,1),(310,1),(338,1),(413,1),(438,1),(439,1)}
       182:{2,3,5,7}:{(136,1),(137,1),(150,1),(234,1),(235,1),(435,1)}
       183:{1,3,5,6}:{(136,1),(138,1),(151,1),(235,1),(236,1)}
       184:{1,3,4,7}:{(137,1),(138,1),(152,1),(235,1),(237,1),(251,1),(330,1),(430,1)}
       185:{2,4,6}:{(138,1),(139,1),(236,1),(237,1),(238,1)}
       186:{2,3,5}:{(139,1),(154,1),(223,1),(238,1),(239,1)}
       187:{1,3,5,6,7}:{(140,1),(141,1),(149,1),(228,1),(240,1),(447,1)}
       188:{2,5,7}:{(141,1),(142,1),(143,1),(241,1)}
       189:{1,5,6}:{(142,1),(144,1),(241,1)}
       190:{1,4,6,7}:{(143,1),(144,1),(146,1),(152,1),(241,1)}
       191:{1,2,4,6}:{(144,1),(145,1),(147,1),(232,1),(242,1),(244,1),(349,1),(535,1),(550,1)}
       192:{1,3,5,7}:{(145,1),(154,1),(233,1),(244,1),(245,1),(251,1),(351,1),(407,1),(487,1)}
       193:{1,2,6,7}:{(146,1),(147,1),(155,1),(342,1)}
       194:{1,2,3,6}:{(147,1),(148,1),(244,1),(247,1),(535,1)}
       195:{1,2,4,7}:{(148,1),(157,1),(245,1),(247,1),(409,1)}
       196:{2,4,6,7}:{(149,1),(150,1),(234,1),(240,1),(248,1),(342,1)}
       197:{1,4,5,7}:{(150,1),(151,1),(152,1),(235,1),(241,1),(248,1),(430,1),(504,1)}
       198:{1,2,4,5,6}:{(151,1),(153,1),(236,1),(242,1),(249,1),(250,1),(254,1),(336,1),(344,1),(349,1),(357,1),(510,1),(511,1)}
       199:{1,2,4,7}:{(152,1),(153,1),(155,1),(237,1),(251,1)}
       200:{1,3,6}:{(153,1),(154,1),(238,1),(251,1)}
       201:{1,3,4}:{(154,1),(157,1),(239,1)}
       202:{1,2,3,5,7}:{(155,1),(156,1),(246,1),(251,1),(253,1),(343,1),(348,1),(352,1),(356,1)}
       203:{1,2,4,6}:{(156,1),(157,1),(252,1),(253,1),(254,1),(344,1),(349,1)}
       204:{2,3,4,5}:{(159,1),(255,1),(256,1),(364,1),(476,1),(520,1)}
       205:{1,3,4,5,6}:{(158,1),(165,1),(175,1),(257,1),(258,1),(282,1),(361,1),(388,1),(462,1),(548,1)}
       206:{1,3,4,7}:{(158,1),(160,1),(259,1),(399,1),(475,1)}
       207:{2,4,6}:{(158,1),(159,1),(161,1),(259,1),(260,1)}
       208:{1,4,5}:{(159,1),(162,1),(260,1)}
       209:{2,3,5,7}:{(160,1),(161,1),(169,1),(259,1),(262,1),(266,1),(456,1),(458,1)}
       210:{1,3,5,6}:{(161,1),(162,1),(170,1),(260,1),(262,1),(263,1),(267,1),(369,1)}
       211:{1,2,5}:{(162,1),(163,1)}
       212:{1,2,3,6}:{(163,1),(172,1),(264,1),(369,1)}
       213:{1,4,5,6,7}:{(164,1),(176,1),(265,1),(294,1),(386,1),(525,1)}
       214:{1,3,5,7}:{(164,1),(165,1),(166,1),(177,1),(266,1)}
       215:{2,5,6}:{(165,1),(167,1),(266,1),(267,1)}
       216:{2,4,6,7}:{(166,1),(167,1),(169,1),(259,1),(266,1),(268,1)}
       217:{1,4,6}:{(167,1),(168,1),(170,1),(267,1)}
       218:{1,2,4,5,7}:{(168,1),(171,1),(173,1),(181,1),(261,1),(269,1),(270,1),(273,1),(275,1),(368,1),(374,1),(379,1),(385,1),(467,1),(468,1),(472,1)}
       219:{1,3,6,7}:{(169,1),(170,1),(262,1),(268,1),(271,1)}
       220:{1,2,6}:{(170,1),(171,1)}
       221:{1,2,3,5,7}:{(171,1),(172,1),(174,1),(264,1),(270,1),(272,1),(273,1),(278,1),(379,1),(385,1)}
       222:{1,2,4,6}:{(173,1),(185,1),(274,1),(275,1),(276,1),(382,1)}
       223:{1,3,5}:{(173,1),(186,1),(276,1),(277,1)}
       224:{1,2,3,6}:{(174,1),(276,1),(278,1),(279,1)}
       225:{1,2,4}:{(174,1),(277,1)}
       226:{3,4,5,7}:{(175,1),(177,1),(280,1),(281,1),(475,1),(528,1)}
       227:{2,4,5,6}:{(175,1),(178,1),(281,1),(282,1),(391,1)}
       228:{3,5,6,7}:{(176,1),(177,1),(280,1),(474,1),(528,1)}
       229:{2,3,5,7}:{(177,1),(178,1),(179,1),(188,1),(266,1),(281,1),(284,1),(480,1),(528,1),(546,1)}
       230:{1,3,5,6}:{(178,1),(180,1),(189,1),(267,1),(282,1),(284,1),(285,1),(388,1),(527,1),(552,1)}
       231:{1,3,4,6,7}:{(179,1),(180,1),(184,1),(190,1),(268,1),(284,1),(286,1),(289,1),(297,1),(362,1),(376,1),(386,1),(399,1),(455,1),(467,1),(471,1),(474,1),(475,1),(543,1)}
       232:{2,4,6}:{(180,1),(181,1),(285,1),(287,1)}
       233:{2,3,5,7}:{(181,1),(186,1),(192,1),(270,1),(287,1),(288,1),(292,1),(364,1),(393,1),(458,1)}
       234:{2,3,6,7}:{(182,1),(196,1),(289,1),(474,1)}
       235:{1,3,5,7}:{(182,1),(183,1),(184,1),(197,1),(289,1),(290,1)}
       236:{2,5,6}:{(183,1),(185,1),(290,1)}
       237:{2,4,7}:{(184,1),(185,1),(290,1),(292,1)}
       238:{2,3,6}:{(185,1),(186,1),(200,1),(276,1),(292,1)}
       239:{2,3,4}:{(186,1),(201,1),(277,1)}
       240:{2,5,6,7}:{(187,1),(188,1),(196,1),(294,1),(480,1)}
       241:{1,5,7}:{(188,1),(189,1),(190,1)}
       242:{1,2,5,6}:{(189,1),(191,1),(285,1),(295,1),(296,1),(300,1),(552,1)}
       243:{1,2,4,6,7}:{(190,1),(191,1),(193,1),(199,1),(286,1),(295,1),(297,1),(399,1),(450,1),(512,1),(543,1)}
       244:{1,3,6}:{(191,1),(192,1),(287,1)}
       245:{1,3,4,7}:{(192,1),(195,1),(201,1),(288,1),(298,1),(399,1),(452,1)}
       246:{1,2,3,6,7}:{(193,1),(194,1),(202,1),(297,1),(299,1),(394,1),(405,1),(453,1)}
       247:{1,2,4,6}:{(194,1),(195,1),(298,1),(300,1)}
       248:{1,4,6,7}:{(196,1),(197,1),(289,1),(294,1)}
       249:{1,2,4,5,7}:{(197,1),(198,1),(199,1),(290,1),(295,1),(301,1),(302,1),(387,1),(395,1),(399,1),(480,1),(482,1)}
       250:{1,3,5,6}:{(198,1),(200,1),(291,1),(302,1),(303,1),(305,1),(388,1),(405,1)}
       251:{1,3,7}:{(199,1),(200,1),(292,1)}
       252:{1,3,4,6}:{(200,1),(201,1),(203,1),(293,1),(304,1),(305,1),(405,1)}
       253:{1,2,4,7}:{(202,1),(203,1),(304,1),(395,1),(399,1)}
       254:{1,2,4,5}:{(203,1),(300,1),(305,1),(396,1),(400,1)}
       255:{2,3,4,6}:{(204,1),(207,1),(307,1),(308,1),(309,1),(414,1),(436,1),(493,1)}
       256:{1,3,4,5}:{(204,1),(208,1),(309,1),(310,1),(316,1),(407,1),(533,1)}
       257:{1,3,4,5,7}:{(205,1),(206,1),(214,1),(226,1),(311,1),(312,1),(335,1),(411,1),(435,1),(497,1),(539,1)}
       258:{2,4,5,6}:{(205,1),(207,1),(215,1),(307,1),(312,1),(313,1),(412,1),(493,1),(551,1)}
       259:{2,4,7}:{(206,1),(207,1),(209,1),(314,1)}
       260:{1,4,6}:{(207,1),(208,1),(210,1),(314,1)}
       261:{1,2,4,5}:{(208,1),(211,1),(310,1),(315,1),(316,1),(319,1)}
       262:{1,3,5,7}:{(209,1),(210,1),(219,1),(314,1),(317,1),(321,1),(419,1)}
       263:{1,2,5,6}:{(210,1),(211,1),(220,1),(315,1),(317,1),(412,1)}
       264:{1,2,3,5}:{(211,1),(212,1),(316,1),(319,1)}
       265:{1,3,5,6,7}:{(213,1),(214,1),(228,1),(311,1),(320,1),(539,1)}
       266:{2,5,7}:{(214,1),(215,1),(216,1),(321,1)}
       267:{1,5,6}:{(215,1),(217,1),(321,1)}
       268:{1,4,6,7}:{(216,1),(217,1),(219,1),(314,1),(321,1)}
       269:{1,2,4,6}:{(217,1),(218,1),(220,1),(232,1),(322,1),(324,1),(425,1),(433,1),(505,1)}
       270:{1,3,5,7}:{(218,1),(223,1),(233,1),(316,1),(324,1),(325,1),(330,1),(419,1),(427,1)}
       271:{1,2,6,7}:{(219,1),(220,1),(317,1),(491,1)}
       272:{1,2,3,6}:{(220,1),(221,1),(324,1),(327,1),(433,1)}
       273:{1,2,4,7}:{(221,1),(225,1),(319,1),(325,1),(327,1)}
       274:{1,2,5,6}:{(222,1),(236,1),(328,1),(329,1),(333,1),(433,1)}
       275:{1,2,4,7}:{(222,1),(237,1),(328,1),(330,1),(430,1)}
       276:{1,3,6}:{(222,1),(223,1),(238,1),(330,1)}
       277:{1,3,4}:{(223,1),(225,1),(239,1)}
       278:{1,2,3,7}:{(224,1),(330,1),(332,1)}
       279:{1,2,4,6}:{(224,1),(225,1),(331,1),(332,1),(333,1),(433,1)}
       280:{3,4,6,7}:{(226,1),(228,1),(334,1)}
       281:{2,4,5,7}:{(226,1),(227,1),(229,1),(334,1),(335,1),(438,1)}
       282:{1,4,5,6}:{(227,1),(230,1),(335,1),(336,1),(349,1),(425,1)}
       283:{2,3,5,6,7}:{(228,1),(229,1),(234,1),(240,1),(320,1),(334,1),(337,1),(410,1)}
       284:{1,3,5,7}:{(229,1),(230,1),(231,1),(241,1),(321,1),(335,1),(338,1),(435,1),(504,1),(549,1)}
       285:{2,5,6}:{(230,1),(232,1),(338,1)}
       286:{2,4,6,7}:{(231,1),(232,1),(237,1),(338,1),(340,1),(342,1),(413,1),(438,1),(491,1)}
       287:{2,3,6}:{(232,1),(233,1),(244,1),(324,1)}
       288:{2,3,4,7}:{(233,1),(239,1),(245,1),(325,1),(341,1),(415,1),(438,1)}
       289:{1,3,6,7}:{(234,1),(235,1),(248,1),(342,1)}
       290:{2,5,7}:{(235,1),(236,1),(237,1),(342,1)}
       291:{2,3,5,6}:{(236,1),(238,1),(250,1),(329,1),(343,1),(344,1),(346,1),(443,1),(510,1)}
       292:{2,3,7}:{(237,1),(238,1),(251,1),(330,1)}
       293:{2,3,4,6}:{(238,1),(239,1),(252,1),(331,1),(344,1),(345,1),(346,1),(443,1)}
       294:{1,5,6,7}:{(240,1),(241,1),(248,1),(504,1)}
       295:{1,2,5,7}:{(241,1),(242,1),(243,1),(338,1),(348,1),(549,1)}
       296:{1,3,5,6}:{(242,1),(244,1),(339,1),(348,1),(349,1),(351,1)}
       297:{1,3,6,7}:{(243,1),(244,1),(251,1),(340,1),(348,1),(487,1)}
       298:{1,3,4,6}:{(244,1),(245,1),(247,1),(341,1),(349,1),(351,1)}
       299:{1,2,4,6,7}:{(246,1),(247,1),(253,1),(350,1),(352,1),(357,1),(441,1),(489,1),(535,1)}
       300:{1,2,5}:{(247,1),(351,1)}
       301:{1,2,4,6,7}:{(248,1),(249,1),(342,1),(347,1),(353,1),(357,1),(434,1),(441,1),(444,1)}
       302:{1,3,5,7}:{(249,1),(250,1),(251,1),(343,1),(353,1),(354,1),(435,1)}
       303:{1,3,4,6}:{(250,1),(344,1),(349,1),(354,1),(355,1),(436,1)}
       304:{1,3,4,7}:{(251,1),(252,1),(253,1),(345,1),(356,1)}
       305:{1,3,5}:{(252,1),(254,1),(346,1)}
       306:{1,2,4,5,7}:{(253,1),(254,1),(352,1),(356,1),(357,1),(442,1),(445,1)}
       307:{2,3,5,6}:{(255,1),(258,1),(360,1),(361,1),(388,1)}
       308:{2,3,4,7}:{(255,1),(259,1),(360,1),(362,1),(458,1),(475,1),(519,1)}
       309:{1,3,4,6}:{(255,1),(256,1),(260,1),(361,1),(362,1),(363,1),(369,1),(451,1),(514,1)}
       310:{2,4,5}:{(256,1),(363,1),(364,1)}
       311:{1,3,4,6,7}:{(257,1),(265,1),(280,1),(365,1),(386,1),(455,1),(474,1)}
       312:{2,4,5,7}:{(257,1),(258,1),(259,1),(266,1),(360,1),(365,1),(366,1),(456,1),(519,1),(546,1)}
       313:{1,4,5,6}:{(258,1),(260,1),(267,1),(361,1),(366,1),(514,1),(552,1)}
       314:{1,4,7}:{(259,1),(260,1),(262,1)}
       315:{1,2,4,6}:{(260,1),(261,1),(263,1),(363,1),(368,1),(369,1)}
       316:{1,3,5}:{(261,1),(364,1),(369,1),(370,1)}
       317:{1,2,5,7}:{(262,1),(263,1),(271,1),(368,1),(456,1)}
       318:{1,2,3,5,6}:{(263,1),(264,1),(272,1),(369,1),(371,1),(372,1),(375,1),(379,1),(457,1),(464,1),(470,1),(524,1)}
       319:{1,2,4}:{(264,1),(370,1)}
       320:{2,5,6,7}:{(265,1),(266,1),(365,1),(373,1),(546,1)}
       321:{1,5,7}:{(266,1),(267,1),(268,1)}
       322:{1,2,5,6}:{(267,1),(269,1),(285,1),(374,1),(375,1),(379,1),(527,1)}
       323:{1,2,4,6,7}:{(268,1),(269,1),(271,1),(275,1),(286,1),(368,1),(374,1),(376,1),(380,1),(467,1),(471,1)}
       324:{1,3,6}:{(269,1),(270,1),(287,1)}
       325:{1,3,4,7}:{(270,1),(273,1),(277,1),(288,1),(370,1),(377,1),(467,1)}
       326:{1,2,3,6,7}:{(271,1),(272,1),(278,1),(371,1),(376,1),(378,1),(518,1),(524,1)}
       327:{1,2,4,6}:{(272,1),(273,1),(377,1),(379,1)}
       328:{1,2,5,7}:{(274,1),(275,1),(290,1),(380,1),(381,1)}
       329:{1,3,5,6}:{(274,1),(276,1),(291,1),(381,1),(382,1),(384,1),(473,1),(527,1)}
       330:{1,3,7}:{(275,1),(276,1),(292,1)}
       331:{1,3,4,6}:{(276,1),(277,1),(279,1),(293,1),(382,1),(383,1),(384,1),(473,1)}
       332:{1,2,4,7}:{(278,1),(279,1),(383,1),(385,1)}
       333:{1,2,5}:{(279,1),(384,1)}
       334:{2,4,6,7}:{(280,1),(281,1),(283,1),(386,1)}
       335:{1,4,5,7}:{(281,1),(282,1),(284,1),(386,1),(387,1),(399,1),(467,1)}
       336:{2,4,5,6}:{(282,1),(285,1),(387,1),(388,1),(391,1)}
       337:{1,3,5,6,7}:{(283,1),(284,1),(289,1),(294,1),(373,1),(386,1),(389,1),(455,1),(474,1)}
       338:{2,5,7}:{(284,1),(285,1),(286,1)}
       339:{2,3,5,6}:{(285,1),(287,1),(296,1),(375,1),(388,1),(390,1),(391,1),(393,1)}
       340:{2,3,6,7}:{(286,1),(287,1),(292,1),(297,1),(376,1),(390,1),(458,1),(474,1)}
       341:{2,3,4,6}:{(287,1),(288,1),(298,1),(377,1),(391,1),(393,1)}
       342:{2,6,7}:{(289,1),(290,1)}
       343:{2,3,5,7}:{(290,1),(291,1),(292,1),(302,1),(381,1),(394,1),(395,1),(480,1)}
       344:{2,4,6}:{(291,1),(303,1),(382,1),(395,1),(396,1)}
       345:{2,3,4,7}:{(292,1),(293,1),(304,1),(383,1),(395,1),(397,1)}
       346:{2,3,5}:{(293,1),(305,1),(384,1),(396,1)}
       347:{1,2,5,6,7}:{(294,1),(295,1),(301,1),(389,1),(398,1),(402,1),(480,1),(512,1)}
       348:{1,3,5,7}:{(295,1),(296,1),(297,1),(390,1),(399,1)}
       349:{1,4,6}:{(296,1),(391,1),(399,1),(400,1)}
       350:{1,3,4,6,7}:{(297,1),(298,1),(299,1),(304,1),(392,1),(399,1),(401,1),(405,1),(483,1),(515,1),(543,1),(545,1)}
       351:{1,3,5}:{(298,1),(300,1),(393,1),(400,1)}
       352:{1,2,5,7}:{(299,1),(300,1),(401,1),(402,1),(480,1)}
       353:{1,3,6,7}:{(301,1),(302,1),(394,1),(405,1),(474,1)}
       354:{1,3,4,7}:{(302,1),(303,1),(395,1),(399,1),(475,1)}
       355:{1,3,4,5}:{(303,1),(305,1),(396,1),(400,1),(476,1)}
       356:{1,3,5,7}:{(304,1),(305,1),(306,1),(397,1),(405,1)}
       357:{1,2,4,6}:{(306,1),(402,1),(405,1),(481,1),(483,1)}
       358:{1,2,4,5}:{(310,1),(406,1),(407,1),(409,1),(490,1),(533,1)}
       359:{1,2,3,5}:{(407,1),(408,1),(409,1),(490,1)}
       360:{2,3,5,7}:{(307,1),(308,1),(312,1),(410,1),(411,1),(435,1)}
       361:{1,3,5,6}:{(307,1),(309,1),(313,1),(411,1),(412,1)}
       362:{1,3,4,7}:{(308,1),(309,1),(314,1),(411,1),(413,1),(419,1),(487,1),(532,1)}
       363:{2,4,6}:{(309,1),(310,1),(412,1),(413,1),(414,1)}
       364:{2,3,5}:{(310,1),(316,1),(407,1),(414,1),(415,1)}
       365:{2,4,6,7}:{(311,1),(312,1),(320,1),(410,1),(416,1),(491,1)}
       366:{1,4,5,7}:{(312,1),(313,1),(314,1),(321,1),(411,1),(416,1),(532,1),(549,1)}
       367:{1,2,4,5,6}:{(313,1),(315,1),(322,1),(336,1),(412,1),(417,1),(418,1),(422,1),(425,1),(493,1),(500,1),(541,1),(551,1)}
       368:{1,2,4,7}:{(314,1),(315,1),(317,1),(413,1),(419,1)}
       369:{1,3,6}:{(315,1),(316,1),(414,1),(419,1)}
       370:{1,3,4}:{(316,1),(319,1),(415,1)}
       371:{1,2,3,5,7}:{(317,1),(318,1),(326,1),(419,1),(421,1),(424,1),(428,1),(492,1),(499,1)}
       372:{1,2,4,6}:{(318,1),(319,1),(420,1),(421,1),(422,1),(425,1),(493,1)}
       373:{1,5,6,7}:{(320,1),(321,1),(416,1),(549,1)}
       374:{1,2,5,7}:{(321,1),(322,1),(323,1),(338,1),(424,1),(504,1)}
       375:{1,3,5,6}:{(322,1),(324,1),(339,1),(424,1),(425,1),(427,1)}
       376:{1,3,6,7}:{(323,1),(324,1),(330,1),(340,1),(419,1),(424,1)}
       377:{1,3,4,6}:{(324,1),(325,1),(327,1),(341,1),(425,1),(427,1)}
       378:{1,2,4,6,7}:{(326,1),(327,1),(332,1),(421,1),(426,1),(428,1),(433,1),(500,1),(536,1)}
       379:{1,2,5}:{(327,1),(427,1)}
       380:{1,2,6,7}:{(328,1),(342,1),(429,1),(433,1)}
       381:{1,3,5,7}:{(328,1),(329,1),(330,1),(343,1),(429,1),(430,1),(504,1)}
       382:{1,4,6}:{(329,1),(344,1),(430,1),(431,1)}
       383:{1,3,4,7}:{(330,1),(331,1),(332,1),(345,1),(430,1),(432,1)}
       384:{1,3,5}:{(331,1),(333,1),(346,1),(431,1)}
       385:{1,2,5,7}:{(332,1),(333,1),(432,1),(433,1)}
       386:{1,4,6,7}:{(334,1),(335,1),(337,1),(434,1)}
       387:{2,4,5,7}:{(335,1),(336,1),(338,1),(434,1),(435,1),(438,1)}
       388:{3,5,6}:{(336,1),(435,1),(436,1)}
       389:{2,5,6,7}:{(337,1),(338,1),(342,1),(434,1),(491,1)}
       390:{2,3,5,7}:{(338,1),(339,1),(340,1),(348,1),(424,1),(435,1),(438,1)}
       391:{2,4,6}:{(339,1),(349,1),(425,1),(436,1),(438,1),(439,1)}
       392:{2,3,4,6,7}:{(340,1),(341,1),(345,1),(350,1),(426,1),(438,1),(440,1),(441,1),(443,1),(494,1),(506,1),(509,1),(536,1),(538,1)}
       393:{2,3,5}:{(341,1),(351,1),(427,1),(439,1)}
       394:{2,3,6,7}:{(342,1),(343,1),(353,1),(429,1),(441,1),(443,1)}
       395:{2,4,7}:{(343,1),(344,1),(354,1),(430,1)}
       396:{2,4,5}:{(344,1),(346,1),(355,1),(431,1)}
       397:{2,3,5,7}:{(345,1),(346,1),(356,1),(432,1),(442,1),(443,1)}
       398:{1,3,5,6,7}:{(347,1),(348,1),(353,1),(437,1),(444,1),(446,1),(447,1),(531,1),(549,1)}
       399:{1,4,7}:{(348,1),(349,1),(438,1)}
       400:{1,4,5}:{(349,1),(351,1),(439,1)}
       401:{1,3,5,7}:{(350,1),(351,1),(352,1),(440,1),(445,1),(446,1),(549,1)}
       402:{1,2,5,6}:{(352,1),(357,1),(446,1),(510,1),(535,1)}
       403:{1,3,4,6,7}:{(353,1),(354,1),(441,1),(444,1),(447,1),(448,1),(506,1)}
       404:{1,3,4,5,7}:{(354,1),(355,1),(356,1),(442,1),(445,1),(447,1),(448,1),(507,1)}
       405:{1,3,6}:{(356,1),(357,1),(443,1)}
       406:{1,2,4,6}:{(358,1),(363,1),(449,1),(450,1),(451,1),(514,1)}
       407:{1,3,5}:{(358,1),(364,1),(451,1),(452,1)}
       408:{1,2,3,6}:{(359,1),(451,1),(453,1),(454,1)}
       409:{1,2,4}:{(359,1),(452,1)}
       410:{2,3,6,7}:{(360,1),(365,1),(455,1),(474,1)}
       411:{1,3,5,7}:{(360,1),(361,1),(362,1),(366,1),(455,1),(456,1)}
       412:{2,5,6}:{(361,1),(363,1),(456,1)}
       413:{2,4,7}:{(362,1),(363,1),(456,1),(458,1)}
       414:{2,3,6}:{(363,1),(364,1),(369,1),(451,1),(458,1)}
       415:{2,3,4}:{(364,1),(370,1),(452,1)}
       416:{1,4,6,7}:{(365,1),(366,1),(373,1),(455,1)}
       417:{1,2,4,5,7}:{(366,1),(367,1),(368,1),(374,1),(387,1),(456,1),(460,1),(461,1),(467,1),(519,1),(525,1),(546,1)}
       418:{1,3,5,6}:{(367,1),(369,1),(388,1),(457,1),(461,1),(462,1),(464,1),(524,1)}
       419:{1,3,7}:{(368,1),(369,1),(458,1)}
       420:{1,3,4,6}:{(369,1),(370,1),(372,1),(459,1),(463,1),(464,1),(524,1)}
       421:{1,2,4,7}:{(371,1),(372,1),(463,1),(467,1),(519,1)}
       422:{1,2,4,5}:{(372,1),(379,1),(464,1),(468,1),(520,1)}
       423:{1,2,5,6,7}:{(373,1),(374,1),(380,1),(389,1),(460,1),(466,1),(470,1),(546,1)}
       424:{1,3,5,7}:{(374,1),(375,1),(376,1),(390,1),(467,1)}
       425:{1,4,6}:{(375,1),(391,1),(467,1),(468,1)}
       426:{1,3,4,6,7}:{(376,1),(377,1),(378,1),(383,1),(392,1),(463,1),(467,1),(469,1),(471,1),(473,1),(524,1),(526,1)}
       427:{1,3,5}:{(377,1),(379,1),(393,1),(468,1)}
       428:{1,2,5,7}:{(378,1),(379,1),(469,1),(470,1),(546,1)}
       429:{1,3,6,7}:{(380,1),(381,1),(394,1),(471,1),(473,1)}
       430:{1,4,7}:{(381,1),(382,1),(395,1)}
       431:{1,4,5}:{(382,1),(384,1),(396,1)}
       432:{1,3,5,7}:{(383,1),(384,1),(385,1),(397,1),(472,1),(473,1)}
       433:{1,2,6}:{(385,1),(473,1)}
       434:{2,4,6,7}:{(386,1),(387,1),(389,1),(474,1)}
       435:{3,5,7}:{(387,1),(388,1),(474,1),(475,1)}
       436:{3,4,6}:{(388,1),(391,1),(475,1),(476,1)}
       437:{2,3,5,6,7}:{(389,1),(390,1),(394,1),(398,1),(466,1),(474,1),(477,1),(479,1),(480,1),(518,1),(528,1),(546,1)}
       438:{2,4,7}:{(390,1),(391,1),(399,1),(467,1),(475,1)}
       439:{2,4,5}:{(391,1),(393,1),(400,1),(468,1),(476,1)}
       440:{2,3,5,7}:{(392,1),(393,1),(401,1),(469,1),(478,1),(479,1),(480,1),(528,1),(546,1)}
       441:{2,4,6,7}:{(394,1),(395,1),(403,1),(471,1),(480,1),(481,1)}
       442:{2,4,5,7}:{(395,1),(396,1),(397,1),(404,1),(472,1),(480,1),(481,1)}
       443:{2,3,6}:{(397,1),(405,1),(473,1),(481,1)}
       444:{1,4,6,7}:{(398,1),(399,1),(477,1),(482,1),(483,1)}
       445:{1,4,5,7}:{(399,1),(400,1),(401,1),(478,1),(483,1)}
       446:{1,3,5,6}:{(401,1),(402,1),(405,1),(479,1),(483,1),(545,1),(552,1)}
       447:{1,3,5,7}:{(403,1),(480,1),(482,1),(484,1),(528,1)}
       448:{1,3,4,6}:{(404,1),(405,1),(481,1),(483,1),(484,1),(529,1)}
       449:{1,2,5,6}:{(406,1),(412,1),(485,1),(486,1),(490,1),(535,1)}
       450:{1,2,4,7}:{(406,1),(413,1),(485,1),(487,1),(532,1)}
       451:{1,3,6}:{(406,1),(407,1),(414,1),(487,1)}
       452:{1,3,4}:{(407,1),(409,1),(415,1)}
       453:{1,2,3,7}:{(408,1),(487,1),(489,1)}
       454:{1,2,4,6}:{(408,1),(409,1),(488,1),(489,1),(490,1),(535,1)}
       455:{1,3,6,7}:{(410,1),(411,1),(416,1),(491,1)}
       456:{2,5,7}:{(411,1),(412,1),(413,1),(491,1)}
       457:{2,3,5,6}:{(412,1),(414,1),(418,1),(486,1),(492,1),(493,1),(495,1),(538,1),(551,1)}
       458:{2,3,7}:{(413,1),(414,1),(419,1),(487,1)}
       459:{2,3,4,6}:{(414,1),(415,1),(420,1),(488,1),(493,1),(494,1),(495,1),(538,1)}
       460:{1,2,4,6,7}:{(416,1),(417,1),(423,1),(434,1),(491,1),(496,1),(500,1),(501,1),(536,1)}
       461:{1,3,5,7}:{(417,1),(418,1),(419,1),(435,1),(492,1),(496,1),(497,1)}
       462:{1,3,4,6}:{(418,1),(425,1),(436,1),(493,1),(497,1),(498,1)}
       463:{1,3,4,7}:{(419,1),(420,1),(421,1),(494,1),(499,1)}
       464:{1,3,5}:{(420,1),(422,1),(495,1)}
       465:{1,2,4,5,7}:{(421,1),(422,1),(428,1),(499,1),(500,1),(502,1),(537,1)}
       466:{1,3,5,6,7}:{(423,1),(424,1),(429,1),(437,1),(496,1),(501,1),(503,1),(504,1),(539,1)}
       467:{1,4,7}:{(424,1),(425,1),(438,1)}
       468:{1,4,5}:{(425,1),(427,1),(439,1)}
       469:{1,3,5,7}:{(426,1),(427,1),(428,1),(440,1),(502,1),(503,1),(504,1)}
       470:{1,2,5,6}:{(428,1),(433,1),(500,1),(503,1),(551,1)}
       471:{1,4,6,7}:{(429,1),(430,1),(441,1),(504,1),(505,1)}
       472:{1,4,5,7}:{(430,1),(431,1),(432,1),(442,1),(504,1),(505,1)}
       473:{1,3,6}:{(432,1),(433,1),(443,1),(505,1)}
       474:{3,6,7}:{(434,1),(435,1)}
       475:{3,4,7}:{(435,1),(436,1),(438,1)}
       476:{3,4,5}:{(436,1),(439,1)}
       477:{2,4,6,7}:{(437,1),(438,1),(444,1),(501,1),(506,1),(508,1),(509,1)}
       478:{2,4,5,7}:{(438,1),(439,1),(440,1),(445,1),(502,1),(507,1),(509,1)}
       479:{2,3,5,6}:{(440,1),(443,1),(446,1),(503,1),(509,1),(510,1),(538,1),(542,1),(551,1)}
       480:{2,5,7}:{(441,1),(447,1),(504,1),(510,1)}
       481:{2,4,6}:{(442,1),(443,1),(448,1),(505,1),(510,1)}
       482:{1,4,5,7}:{(444,1),(447,1),(508,1),(511,1),(549,1)}
       483:{1,4,6}:{(445,1),(446,1),(509,1)}
       484:{1,3,5,6}:{(447,1),(448,1),(510,1),(511,1),(542,1)}
       485:{1,2,5,7}:{(449,1),(450,1),(456,1),(512,1),(513,1)}
       486:{1,3,5,6}:{(449,1),(451,1),(457,1),(513,1),(514,1),(516,1),(545,1),(552,1)}
       487:{1,3,7}:{(450,1),(451,1),(458,1)}
       488:{1,3,4,6}:{(451,1),(452,1),(454,1),(459,1),(514,1),(515,1),(516,1),(545,1)}
       489:{1,2,4,7}:{(453,1),(454,1),(515,1),(517,1)}
       490:{1,2,5}:{(454,1),(516,1)}
       491:{2,6,7}:{(455,1),(456,1)}
       492:{2,3,5,7}:{(456,1),(457,1),(458,1),(461,1),(513,1),(518,1),(519,1),(546,1)}
       493:{2,4,6}:{(457,1),(462,1),(514,1),(519,1),(520,1)}
       494:{2,3,4,7}:{(458,1),(459,1),(463,1),(515,1),(519,1),(521,1)}
       495:{2,3,5}:{(459,1),(464,1),(516,1),(520,1)}
       496:{1,3,6,7}:{(460,1),(461,1),(474,1),(518,1),(524,1)}
       497:{1,3,4,7}:{(461,1),(462,1),(467,1),(475,1),(519,1)}
       498:{1,3,4,5}:{(462,1),(464,1),(468,1),(476,1),(520,1)}
       499:{1,3,5,7}:{(463,1),(464,1),(465,1),(521,1),(524,1)}
       500:{1,2,4,6}:{(465,1),(470,1),(524,1),(526,1),(547,1)}
       501:{1,4,6,7}:{(466,1),(467,1),(477,1),(525,1),(526,1)}
       502:{1,4,5,7}:{(467,1),(468,1),(469,1),(478,1),(526,1)}
       503:{1,3,5,6}:{(469,1),(470,1),(473,1),(479,1),(524,1),(526,1),(527,1)}
       504:{1,5,7}:{(471,1),(480,1),(527,1)}
       505:{1,4,6}:{(472,1),(473,1),(481,1),(527,1)}
       506:{3,4,6,7}:{(474,1),(475,1),(477,1),(528,1),(529,1)}
       507:{3,4,5,7}:{(475,1),(476,1),(478,1),(528,1),(529,1)}
       508:{2,4,5,7}:{(477,1),(480,1),(482,1),(525,1),(528,1),(530,1),(546,1)}
       509:{2,4,6}:{(478,1),(479,1),(483,1),(526,1),(529,1)}
       510:{2,5,6}:{(480,1),(481,1),(484,1),(527,1)}
       511:{1,4,5,6}:{(482,1),(483,1),(484,1),(530,1),(552,1)}
       512:{1,2,6,7}:{(485,1),(491,1),(531,1),(535,1)}
       513:{1,3,5,7}:{(485,1),(486,1),(487,1),(492,1),(531,1),(532,1),(549,1)}
       514:{1,4,6}:{(486,1),(493,1),(532,1),(533,1)}
       515:{1,3,4,7}:{(487,1),(488,1),(489,1),(494,1),(532,1),(534,1)}
       516:{1,3,5}:{(488,1),(490,1),(495,1),(533,1)}
       517:{1,2,5,7}:{(489,1),(490,1),(534,1),(535,1)}
       518:{2,3,6,7}:{(491,1),(492,1),(496,1),(531,1),(536,1),(538,1)}
       519:{2,4,7}:{(492,1),(493,1),(497,1),(532,1)}
       520:{2,4,5}:{(493,1),(495,1),(498,1),(533,1)}
       521:{2,3,5,7}:{(494,1),(495,1),(499,1),(534,1),(537,1),(538,1)}
       522:{1,3,4,6,7}:{(496,1),(497,1),(501,1),(506,1),(536,1),(539,1),(540,1)}
       523:{1,3,4,5,7}:{(497,1),(498,1),(499,1),(502,1),(507,1),(537,1),(539,1),(540,1)}
       524:{1,3,6}:{(499,1),(500,1),(538,1)}
       525:{1,4,5,7}:{(501,1),(504,1),(508,1),(539,1),(541,1)}
       526:{1,4,6}:{(502,1),(503,1),(509,1)}
       527:{1,5,6}:{(504,1),(505,1),(510,1)}
       528:{3,5,7}:{(506,1),(508,1),(542,1)}
       529:{3,4,6}:{(507,1),(509,1),(542,1)}
       530:{2,4,5,6}:{(508,1),(509,1),(510,1),(511,1),(541,1),(542,1),(551,1)}
       531:{1,3,6,7}:{(512,1),(513,1),(518,1),(543,1),(545,1)}
       532:{1,4,7}:{(513,1),(514,1),(519,1)}
       533:{1,4,5}:{(514,1),(516,1),(520,1)}
       534:{1,3,5,7}:{(515,1),(516,1),(517,1),(521,1),(544,1),(545,1)}
       535:{1,2,6}:{(517,1),(545,1)}
       536:{2,4,6,7}:{(518,1),(519,1),(522,1),(543,1),(546,1),(547,1)}
       537:{2,4,5,7}:{(519,1),(520,1),(521,1),(523,1),(544,1),(546,1),(547,1)}
       538:{2,3,6}:{(521,1),(524,1),(545,1),(547,1)}
       539:{1,3,5,7}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6}:{(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,6}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,6}:{(528,1),(529,1),(530,1)}
       543:{1,4,6,7}:{(531,1),(532,1),(536,1),(549,1),(550,1)}
       544:{1,4,5,7}:{(532,1),(533,1),(534,1),(537,1),(549,1),(550,1)}
       545:{1,3,6}:{(534,1),(535,1),(538,1),(550,1)}
       546:{2,5,7}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6}:{(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,6}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,7}:{(543,1),(546,1),(552,1)}
       550:{1,4,6}:{(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,6}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,6}:{(549,1),(550,1),(551,1)}

2331 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2332 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2333 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(16,1),(23,1),(52,1),(58,1),(91,1),(92,1),(94,1),(101,1),(126,1),(162,1)}
         1:{1,3,4,6,7}:{(0,1),(6,1),(7,1),(11,1),(27,1),(31,1),(42,1),(65,1),(70,1),(72,1),(78,1),(80,1),(106,1),(115,1),(116,1),(122,1),(143,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(37,1),(76,1),(113,1),(121,1),(142,1)}
         3:{2,3,5,6,7}:{(5,1),(9,1),(10,1),(37,1),(76,1),(77,1)}
         4:{1,2,4,6,7}:{(6,1),(11,1),(12,1),(41,1),(42,1),(78,1),(120,1),(143,1),(144,1),(145,1),(152,1)}
         5:{2,3,5,6}:{(2,1),(14,1),(15,1),(48,1),(89,1),(92,1)}
         6:{2,4,6,7}:{(1,1),(16,1),(17,1),(50,1),(52,1),(101,1),(126,1),(135,1),(136,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(14,1),(17,1),(18,1),(53,1),(98,1),(100,1),(125,1),(139,1),(155,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(52,1),(90,1)}
         9:{1,3,5,6,7}:{(3,1),(14,1),(21,1),(22,1),(56,1),(57,1),(98,1),(99,1)}
        10:{2,4,6,7}:{(3,1),(15,1),(20,1),(22,1),(23,1)}
        11:{1,3,6,7}:{(4,1),(16,1),(25,1),(60,1),(127,1),(157,1),(162,1)}
        12:{1,2,5,7}:{(4,1),(17,1),(24,1),(25,1),(98,1),(138,1),(155,1)}
        13:{1,2,4,6,7}:{(6,1),(27,1),(28,1),(64,1),(65,1),(78,1),(120,1),(122,1),(123,1),(124,1),(152,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(30,1),(31,1),(70,1),(112,1),(115,1)}
        15:{2,4,6}:{(5,1),(8,1),(31,1),(32,1)}
        16:{2,3,6,7}:{(6,1),(11,1),(27,1),(33,1),(70,1),(81,1),(107,1),(120,1),(151,1)}
        17:{2,5,7}:{(6,1),(7,1),(30,1),(121,1),(142,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(31,1),(34,1),(42,1),(65,1),(79,1),(105,1)}
        19:{3,4,5,7}:{(8,1),(32,1),(37,1),(72,1),(113,1)}
        20:{2,4,5,7}:{(10,1),(29,1),(36,1),(37,1),(76,1),(152,1)}
        21:{2,5,6,7}:{(9,1),(30,1),(38,1),(76,1),(120,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(31,1),(36,1),(38,1)}
        23:{3,4,6,7}:{(10,1),(32,1),(37,1)}
        24:{1,2,5,6}:{(12,1),(30,1),(40,1),(41,1),(112,1),(121,1),(144,1),(148,1),(164,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(33,1),(40,1),(42,1)}
        26:{1,2,4,5,7}:{(12,1),(34,1),(41,1),(42,1),(43,1),(74,1),(79,1),(82,1),(117,1),(121,1),(145,1),(152,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(16,1),(45,1),(85,1),(102,1),(141,1),(162,1)}
        28:{1,2,5,7}:{(13,1),(17,1),(44,1),(45,1),(98,1),(138,1),(139,1)}
        29:{2,4,5,6}:{(15,1),(20,1),(47,1),(48,1),(89,1),(90,1),(159,1)}
        30:{2,5,6}:{(14,1),(17,1),(50,1),(135,1)}
        31:{1,4,6}:{(14,1),(15,1),(18,1),(50,1)}
        32:{3,4,6}:{(15,1),(19,1),(48,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(25,1),(45,1),(49,1),(52,1),(53,1),(138,1),(162,1)}
        34:{2,4,5,7}:{(17,1),(18,1),(50,1),(52,1),(53,1),(90,1)}
        35:{1,3,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(56,1),(61,1),(86,1),(95,1),(96,1),(100,1),(125,1),(130,1),(137,1),(158,1),(162,1),(171,1)}
        36:{1,4,5,7}:{(20,1),(22,1),(47,1),(55,1),(56,1),(98,1),(137,1)}
        37:{3,5,7}:{(20,1),(23,1),(48,1),(162,1)}
        38:{2,4,6,7}:{(21,1),(22,1),(50,1),(55,1),(57,1)}
        39:{1,3,4,6,7}:{(22,1),(23,1),(51,1),(56,1),(57,1),(58,1),(96,1),(99,1),(137,1),(162,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(49,1),(59,1),(60,1),(100,1),(127,1),(155,1),(170,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(50,1),(59,1),(60,1),(93,1),(101,1),(135,1),(159,1)}
        42:{1,4,7}:{(25,1),(52,1),(59,1)}
        43:{1,3,5,7}:{(26,1),(53,1),(60,1),(61,1),(62,1),(100,1),(157,1),(162,1),(170,1),(171,1)}
        44:{1,2,5,6}:{(28,1),(30,1),(63,1),(64,1),(112,1),(123,1),(142,1),(148,1),(153,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(33,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(34,1),(64,1),(65,1),(66,1),(74,1),(105,1),(108,1),(117,1),(124,1),(142,1),(152,1),(153,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(31,1),(36,1),(67,1),(68,1),(79,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(32,1),(37,1),(113,1),(167,1)}
        49:{2,3,5,6}:{(30,1),(33,1),(40,1),(63,1),(69,1),(70,1),(81,1),(107,1),(113,1),(121,1),(142,1),(148,1),(167,1),(168,1)}
        50:{2,4,6}:{(30,1),(31,1),(34,1),(70,1)}
        51:{1,3,4,6}:{(31,1),(32,1),(35,1),(68,1),(70,1),(71,1),(110,1),(115,1),(147,1),(167,1)}
        52:{2,4,7}:{(33,1),(42,1),(65,1),(69,1),(72,1)}
        53:{3,5,7}:{(34,1),(70,1),(72,1),(113,1)}
        54:{2,4,5,7}:{(35,1),(71,1),(73,1),(74,1),(76,1),(82,1),(108,1),(117,1),(118,1),(121,1),(142,1),(146,1),(152,1),(166,1)}
        55:{2,4,5,7}:{(36,1),(38,1),(67,1),(75,1),(76,1),(118,1)}
        56:{1,3,5,7}:{(36,1),(37,1),(39,1),(68,1),(75,1),(76,1)}
        57:{3,6,7}:{(38,1),(70,1),(75,1)}
        58:{2,4,6,7}:{(39,1),(71,1),(76,1),(77,1),(78,1),(118,1),(120,1),(152,1)}
        59:{1,4,6}:{(40,1),(42,1),(69,1),(79,1),(173,1)}
        60:{1,3,6}:{(41,1),(43,1),(70,1),(81,1),(167,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(72,1),(80,1),(82,1),(173,1),(174,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(117,1),(121,1),(151,1),(168,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(49,1),(84,1),(85,1),(102,1),(125,1),(139,1),(163,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(50,1),(84,1),(85,1),(93,1),(126,1),(135,1),(159,1)}
        65:{1,4,7}:{(45,1),(52,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(53,1),(85,1),(86,1),(87,1),(125,1),(141,1),(162,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(50,1),(55,1),(88,1),(89,1),(90,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(51,1),(56,1),(88,1),(89,1),(100,1),(125,1)}
        69:{2,4,6}:{(49,1),(52,1),(59,1),(84,1),(90,1),(91,1),(172,1)}
        70:{3,6}:{(50,1),(53,1)}
        71:{2,4,6}:{(51,1),(54,1),(89,1),(92,1),(93,1),(135,1)}
        72:{3,4,7}:{(52,1),(53,1),(91,1),(162,1)}
        73:{2,3,5,7}:{(53,1),(54,1),(92,1),(94,1),(95,1),(133,1),(162,1),(171,1)}
        74:{1,4,5,7}:{(54,1),(93,1),(95,1),(98,1),(103,1),(128,1),(137,1),(139,1),(155,1),(158,1)}
        75:{3,5,7}:{(55,1),(57,1),(88,1),(96,1)}
        76:{2,5,7}:{(56,1),(58,1),(89,1),(98,1)}
        77:{2,3,6,7}:{(57,1),(58,1),(92,1),(97,1),(99,1),(162,1)}
        78:{1,4,6,7}:{(58,1),(93,1),(98,1),(99,1),(137,1)}
        79:{1,4,5}:{(59,1),(90,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(91,1),(100,1),(101,1)}
        81:{2,3,6}:{(60,1),(62,1),(101,1),(102,1),(135,1)}
        82:{2,4,7}:{(61,1),(62,1),(101,1),(103,1),(172,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(65,1),(69,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(70,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(72,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(117,1),(142,1),(151,1),(168,1)}
        88:{3,5,6}:{(67,1),(70,1),(75,1),(110,1),(113,1)}
        89:{2,5,6}:{(68,1),(71,1),(76,1),(112,1),(121,1),(142,1)}
        90:{2,4,5}:{(69,1),(79,1),(105,1),(113,1),(121,1),(142,1)}
        91:{3,4,6}:{(69,1),(70,1),(72,1),(113,1),(167,1),(174,1)}
        92:{2,3,6}:{(70,1),(71,1),(73,1),(115,1),(167,1)}
        93:{1,4,6}:{(71,1),(74,1),(112,1),(115,1)}
        94:{2,3,4,7}:{(72,1),(73,1),(82,1),(108,1),(114,1),(116,1),(118,1),(151,1),(174,1)}
        95:{1,3,5,7}:{(73,1),(74,1),(115,1),(116,1),(117,1),(149,1)}
        96:{3,4,7}:{(75,1),(110,1),(118,1)}
        97:{2,3,5,7}:{(75,1),(76,1),(77,1),(111,1),(118,1),(119,1)}
        98:{1,5,7}:{(76,1),(78,1),(112,1)}
        99:{1,3,6,7}:{(77,1),(78,1),(115,1),(119,1),(120,1)}
       100:{1,3,5}:{(79,1),(80,1),(113,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,3,6}:{(81,1),(83,1),(122,1),(123,1)}
       103:{1,4,7}:{(82,1),(83,1),(122,1),(169,1)}
       104:{1,2,5,7}:{(83,1),(117,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(90,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(91,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(135,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(96,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(92,1),(97,1),(131,1),(132,1),(133,1)}
       112:{1,5,6}:{(89,1),(93,1),(98,1),(139,1),(155,1)}
       113:{3,5}:{(90,1),(91,1)}
       114:{2,3,4,6}:{(91,1),(92,1),(94,1),(101,1),(126,1),(131,1),(133,1),(134,1),(161,1),(172,1)}
       115:{1,3,6}:{(92,1),(93,1),(95,1),(135,1)}
       116:{1,3,4,7}:{(94,1),(95,1),(103,1),(128,1),(134,1),(136,1),(137,1),(141,1),(157,1),(162,1)}
       117:{2,5,7}:{(95,1),(135,1),(136,1),(160,1)}
       118:{2,4,7}:{(96,1),(97,1),(131,1),(137,1)}
       119:{1,3,5,7}:{(97,1),(98,1),(99,1),(132,1),(137,1),(138,1),(162,1)}
       120:{2,6,7}:{(99,1),(135,1),(138,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,6}:{(102,1),(104,1),(135,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(136,1),(140,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(113,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(117,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(113,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(118,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(115,1),(119,1),(147,1),(148,1),(149,1),(167,1)}
       133:{2,3,5}:{(113,1),(114,1),(121,1),(142,1),(146,1),(149,1)}
       134:{1,3,4,6}:{(114,1),(115,1),(116,1),(122,1),(143,1),(147,1),(149,1),(150,1),(154,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       135:{2,6}:{(115,1),(117,1)}
       136:{2,4,7}:{(116,1),(117,1),(150,1),(151,1)}
       137:{1,4,7}:{(118,1),(119,1),(147,1),(152,1)}
       138:{2,5,7}:{(119,1),(120,1),(148,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(150,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(124,1),(151,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(135,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(136,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(133,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(137,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(135,1),(138,1),(159,1),(160,1)}
       149:{1,3,5}:{(133,1),(134,1),(139,1),(155,1),(158,1),(160,1),(171,1)}
       150:{2,4,6}:{(134,1),(135,1),(136,1),(160,1),(161,1),(172,1)}
       151:{2,3,7}:{(136,1),(141,1),(157,1),(161,1),(162,1)}
       152:{2,4,7}:{(137,1),(138,1),(159,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(160,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(161,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(150,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(151,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(149,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(152,1),(166,1),(167,1)}
       160:{2,5}:{(149,1),(150,1)}
       161:{2,3,6}:{(150,1),(151,1),(154,1),(165,1),(167,1),(168,1)}
       162:{3,7}:{(152,1),(167,1)}
       163:{1,3,5}:{(153,1),(154,1),(168,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(160,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(161,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(160,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(162,1),(171,1)}
       168:{2,3,5}:{(160,1),(161,1),(163,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2334 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2335 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2336 :   0:{2,3,4,5,7}:{(1,1),(2,1),(16,1),(17,1),(129,1),(132,1),(212,1),(213,1),(215,1),(223,1),(279,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(34,1),(102,1),(104,1),(153,1),(155,1),(170,1),(173,1),(257,1),(259,1),(266,1),(316,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(37,1),(96,1),(255,1),(265,1),(315,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(42,1),(48,1),(102,1),(104,1),(316,1),(317,1),(318,1),(321,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(48,1),(321,1),(322,1),(323,1)}
         5:{2,3,4,6,7}:{(2,1),(15,1),(16,1),(58,1),(59,1),(129,1),(208,1),(209,1),(213,1),(220,1),(276,1)}
         6:{2,4,5,7}:{(1,1),(17,1),(18,1),(60,1),(129,1),(132,1),(298,1),(299,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(23,1),(52,1),(72,1),(117,1),(133,1),(304,1),(346,1)}
         8:{2,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(292,1),(301,1),(343,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(22,1),(23,1),(71,1),(348,1),(349,1)}
        10:{1,2,4,6}:{(3,1),(18,1),(23,1),(24,1),(72,1),(346,1),(350,1)}
        11:{1,2,4,7}:{(4,1),(22,1),(26,1),(352,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(350,1)}
        13:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(30,1),(79,1),(85,1),(153,1),(155,1),(266,1),(267,1),(268,1),(271,1)}
        14:{1,2,3,5,7}:{(28,1),(30,1),(31,1),(85,1),(271,1),(272,1),(273,1)}
        15:{1,3,4,6,7}:{(5,1),(7,1),(33,1),(34,1),(41,1),(78,1),(89,1),(102,1),(153,1),(166,1),(170,1),(254,1),(257,1),(263,1),(313,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(34,1),(35,1),(252,1),(262,1),(312,1)}
        17:{2,3,5,7}:{(6,1),(9,1),(28,1),(36,1),(37,1),(95,1),(333,1),(334,1)}
        18:{2,4,6}:{(6,1),(7,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(7,1),(8,1),(34,1),(38,1),(39,1),(97,1),(335,1),(367,1)}
        20:{2,4,5,6}:{(8,1),(35,1),(39,1),(40,1),(96,1)}
        21:{1,2,4,6,7}:{(10,1),(33,1),(41,1),(42,1),(102,1),(313,1),(314,1),(317,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(43,1),(102,1),(372,1)}
        23:{1,3,6}:{(9,1),(10,1),(37,1)}
        24:{1,2,5,6}:{(10,1),(38,1),(42,1),(44,1),(48,1),(367,1)}
        25:{1,2,3,6,7}:{(12,1),(41,1),(46,1),(47,1),(178,1),(186,1),(314,1),(322,1),(369,1),(373,1)}
        26:{1,2,4,6}:{(11,1),(12,1),(43,1),(48,1)}
        27:{1,2,3,5,6}:{(12,1),(44,1),(47,1),(48,1),(49,1),(106,1),(107,1),(110,1),(186,1),(242,1),(319,1),(323,1),(373,1),(398,1),(401,1)}
        28:{1,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(116,1),(306,1),(307,1)}
        29:{1,2,4,6}:{(13,1),(18,1),(52,1),(53,1),(117,1),(304,1),(308,1)}
        30:{1,2,4,7}:{(14,1),(51,1),(55,1),(310,1)}
        31:{1,2,3,6}:{(14,1),(52,1),(55,1),(308,1)}
        32:{2,3,5,6,7}:{(16,1),(57,1),(58,1),(124,1),(206,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(18,1),(59,1),(60,1),(129,1),(295,1),(298,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(19,1),(60,1),(61,1),(130,1),(302,1),(344,1)}
        35:{2,4,5,7}:{(16,1),(20,1),(58,1),(61,1),(62,1),(129,1)}
        36:{2,3,4,7}:{(17,1),(22,1),(51,1),(63,1),(129,1),(361,1)}
        37:{2,3,6}:{(17,1),(18,1),(23,1),(52,1)}
        38:{2,5,6}:{(18,1),(19,1),(60,1)}
        39:{1,4,5,6}:{(19,1),(20,1),(61,1),(65,1),(72,1),(117,1)}
        40:{3,4,5,6}:{(20,1),(62,1),(133,1),(292,1)}
        41:{1,3,6,7}:{(21,1),(23,1),(59,1),(69,1),(348,1)}
        42:{1,2,5,7}:{(21,1),(24,1),(60,1),(69,1),(344,1)}
        43:{1,3,4,6}:{(22,1),(23,1),(26,1),(63,1),(71,1),(72,1)}
        44:{1,3,5,6}:{(23,1),(24,1),(64,1),(69,1),(71,1),(72,1)}
        45:{1,2,4,5,6}:{(24,1),(65,1),(70,1),(72,1),(73,1),(76,1),(135,1),(143,1),(145,1),(217,1),(218,1),(283,1),(301,1),(386,1),(391,1),(407,1)}
        46:{1,2,4,6,7}:{(25,1),(26,1),(68,1),(74,1),(75,1),(145,1),(220,1),(286,1),(350,1),(390,1)}
        47:{1,2,3,5,7}:{(25,1),(27,1),(69,1),(74,1),(75,1),(141,1),(146,1),(281,1),(348,1),(387,1)}
        48:{1,2,5}:{(26,1),(71,1)}
        49:{1,2,4,6}:{(27,1),(72,1),(75,1),(76,1),(77,1),(143,1),(352,1),(407,1)}
        50:{1,2,4,6,7}:{(29,1),(33,1),(78,1),(79,1),(153,1),(263,1),(264,1),(267,1)}
        51:{1,3,4,7}:{(28,1),(30,1),(36,1),(80,1),(153,1),(340,1)}
        52:{1,3,6}:{(28,1),(29,1),(37,1)}
        53:{1,2,5,6}:{(29,1),(38,1),(79,1),(81,1),(85,1),(335,1)}
        54:{1,2,3,6,7}:{(31,1),(78,1),(83,1),(84,1),(235,1),(243,1),(264,1),(272,1),(337,1),(341,1)}
        55:{1,2,4,6}:{(30,1),(31,1),(80,1),(85,1)}
        56:{1,2,3,5,6}:{(31,1),(81,1),(84,1),(85,1),(86,1),(157,1),(158,1),(161,1),(185,1),(243,1),(269,1),(273,1),(341,1),(382,1),(385,1)}
        57:{1,3,5,6,7}:{(32,1),(34,1),(88,1),(89,1),(166,1),(250,1),(254,1)}
        58:{2,4,6,7}:{(32,1),(35,1),(89,1),(90,1)}
        59:{2,3,6,7}:{(33,1),(37,1),(41,1),(78,1),(92,1),(166,1),(333,1)}
        60:{2,5,7}:{(33,1),(34,1),(38,1)}
        61:{1,4,5,7}:{(34,1),(35,1),(39,1),(89,1),(93,1),(102,1),(153,1)}
        62:{3,4,5,7}:{(35,1),(40,1),(90,1),(170,1),(252,1)}
        63:{2,3,4,6}:{(36,1),(37,1),(43,1),(80,1),(95,1),(96,1)}
        64:{2,3,5,6}:{(37,1),(38,1),(44,1),(81,1),(92,1),(95,1),(96,1),(97,1)}
        65:{2,4,5,6}:{(38,1),(39,1),(93,1),(96,1),(97,1)}
        66:{1,3,4,5,6}:{(39,1),(40,1),(94,1),(97,1),(98,1),(105,1),(156,1),(175,1),(261,1),(311,1),(324,1),(375,1),(402,1)}
        67:{1,2,5,6,7}:{(42,1),(88,1),(99,1),(100,1),(107,1),(250,1),(262,1),(314,1),(327,1),(368,1)}
        68:{1,3,4,6,7}:{(41,1),(43,1),(46,1),(91,1),(101,1),(102,1),(109,1),(179,1),(186,1),(245,1),(313,1),(320,1),(369,1),(399,1),(400,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(44,1),(92,1),(102,1)}
        70:{1,2,4,5,7}:{(42,1),(45,1),(93,1),(100,1),(102,1),(103,1),(172,1),(176,1),(181,1),(258,1),(262,1),(317,1),(368,1),(376,1),(399,1)}
        71:{1,3,5}:{(43,1),(48,1),(95,1),(104,1)}
        72:{1,4,6}:{(44,1),(96,1),(102,1),(104,1)}
        73:{1,3,5,6}:{(45,1),(97,1),(103,1),(105,1),(106,1),(110,1),(186,1),(319,1),(402,1)}
        74:{1,2,5,7}:{(46,1),(48,1),(101,1),(107,1),(262,1),(401,1)}
        75:{1,2,4,7}:{(47,1),(49,1),(102,1),(109,1),(181,1),(399,1)}
        76:{1,2,4,5}:{(48,1),(49,1),(104,1),(110,1),(183,1),(401,1),(411,1)}
        77:{1,3,4,6}:{(49,1),(109,1),(110,1),(111,1),(186,1),(319,1),(372,1)}
        78:{1,3,6,7}:{(50,1),(52,1),(59,1),(114,1),(306,1)}
        79:{1,2,5,7}:{(50,1),(53,1),(60,1),(114,1),(302,1)}
        80:{1,3,4,6}:{(51,1),(52,1),(55,1),(63,1),(116,1),(117,1)}
        81:{1,3,5,6}:{(52,1),(53,1),(64,1),(114,1),(116,1),(117,1)}
        82:{1,2,4,5,6}:{(53,1),(65,1),(115,1),(117,1),(118,1),(121,1),(135,1),(198,1),(200,1),(217,1),(227,1),(274,1),(343,1),(362,1),(391,1),(396,1)}
        83:{1,2,4,6,7}:{(54,1),(55,1),(113,1),(119,1),(120,1),(200,1),(230,1),(276,1),(308,1),(366,1)}
        84:{1,2,3,5,7}:{(54,1),(56,1),(114,1),(119,1),(120,1),(196,1),(201,1),(225,1),(306,1),(363,1)}
        85:{1,2,5}:{(55,1),(116,1)}
        86:{1,2,4,6}:{(56,1),(117,1),(120,1),(121,1),(122,1),(198,1),(310,1),(396,1)}
        87:{2,4,5,6,7}:{(58,1),(123,1),(124,1),(206,1),(207,1),(355,1)}
        88:{2,5,6,7}:{(57,1),(60,1),(126,1),(295,1)}
        89:{1,4,6,7}:{(57,1),(58,1),(61,1),(126,1)}
        90:{3,4,6,7}:{(58,1),(62,1),(124,1)}
        91:{2,3,4,6,7}:{(59,1),(63,1),(68,1),(113,1),(128,1),(129,1),(147,1),(202,1),(208,1),(211,1),(220,1),(228,1),(276,1),(284,1),(358,1),(394,1),(395,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(64,1),(69,1),(114,1),(129,1),(130,1)}
        93:{2,4,5,7}:{(60,1),(61,1),(65,1),(126,1),(129,1),(130,1)}
        94:{1,3,4,5,7}:{(61,1),(62,1),(66,1),(127,1),(130,1),(131,1),(140,1),(195,1),(214,1),(219,1),(275,1),(289,1),(354,1),(392,1)}
        95:{2,3,5}:{(63,1),(71,1),(116,1),(132,1)}
        96:{2,4,6}:{(64,1),(72,1),(117,1),(129,1),(132,1),(133,1)}
        97:{3,5,6}:{(65,1),(130,1),(133,1)}
        98:{2,4,5,6}:{(66,1),(131,1),(134,1),(135,1),(143,1),(198,1),(217,1),(301,1),(343,1)}
        99:{1,3,5,6,7}:{(67,1),(69,1),(125,1),(136,1),(137,1),(138,1),(219,1),(277,1),(344,1),(387,1)}
       100:{1,2,4,6,7}:{(67,1),(70,1),(126,1),(136,1),(137,1),(145,1),(210,1),(220,1),(295,1),(355,1)}
       101:{1,3,5,7}:{(68,1),(71,1),(74,1),(128,1),(138,1),(139,1),(344,1),(408,1)}
       102:{1,4,7}:{(69,1),(72,1),(129,1)}
       103:{1,3,5,7}:{(70,1),(73,1),(130,1),(137,1),(140,1),(141,1),(348,1),(392,1)}
       104:{1,4,5}:{(71,1),(72,1),(132,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(133,1),(140,1),(142,1),(143,1),(407,1),(409,1)}
       106:{2,3,5,6}:{(73,1),(141,1),(143,1),(144,1),(148,1),(217,1),(228,1),(300,1),(301,1)}
       107:{1,2,5,6}:{(74,1),(138,1),(145,1),(301,1),(350,1)}
       108:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(139,1),(145,1),(146,1),(223,1)}
       109:{1,3,4,7}:{(75,1),(77,1),(146,1),(147,1),(348,1)}
       110:{1,3,5}:{(76,1),(77,1),(148,1)}
       111:{2,3,4,6}:{(77,1),(143,1),(147,1),(148,1),(149,1),(228,1),(300,1),(361,1)}
       112:{1,2,5,6,7}:{(79,1),(88,1),(150,1),(151,1),(158,1),(250,1),(264,1),(312,1),(327,1),(336,1)}
       113:{1,3,4,6,7}:{(78,1),(80,1),(83,1),(91,1),(152,1),(153,1),(160,1),(188,1),(236,1),(243,1),(263,1),(270,1),(337,1),(383,1),(384,1)}
       114:{1,3,5,7}:{(78,1),(79,1),(81,1),(92,1),(153,1)}
       115:{1,2,4,5,7}:{(79,1),(82,1),(93,1),(151,1),(153,1),(154,1),(172,1),(233,1),(238,1),(258,1),(267,1),(312,1),(336,1),(376,1),(383,1)}
       116:{1,3,5}:{(80,1),(85,1),(95,1),(155,1)}
       117:{1,4,6}:{(81,1),(96,1),(153,1),(155,1)}
       118:{1,3,5,6}:{(82,1),(97,1),(154,1),(156,1),(157,1),(161,1),(243,1),(269,1),(402,1)}
       119:{1,2,5,7}:{(83,1),(85,1),(152,1),(158,1),(312,1),(385,1)}
       120:{1,2,4,7}:{(84,1),(86,1),(153,1),(160,1),(238,1),(383,1)}
       121:{1,2,4,5}:{(85,1),(86,1),(155,1),(161,1),(240,1),(385,1),(406,1)}
       122:{1,3,4,6}:{(86,1),(160,1),(161,1),(162,1),(243,1),(269,1),(340,1)}
       123:{1,4,5,6,7}:{(87,1),(89,1),(163,1),(164,1),(176,1),(233,1),(250,1),(326,1)}
       124:{3,5,6,7}:{(87,1),(90,1),(252,1),(377,1)}
       125:{2,3,5,6,7}:{(88,1),(92,1),(99,1),(150,1),(165,1),(166,1),(168,1),(178,1),(235,1),(252,1),(262,1),(312,1),(327,1),(377,1),(379,1)}
       126:{2,4,6,7}:{(88,1),(89,1),(93,1),(166,1)}
       127:{1,3,4,6,7}:{(89,1),(90,1),(94,1),(164,1),(166,1),(167,1),(248,1),(254,1),(326,1),(377,1)}
       128:{2,3,5,7}:{(91,1),(95,1),(101,1),(152,1),(168,1),(169,1),(252,1),(262,1),(312,1),(405,1)}
       129:{2,4,7}:{(92,1),(96,1),(102,1),(153,1),(170,1)}
       130:{3,5,7}:{(93,1),(97,1),(166,1),(170,1)}
       131:{2,4,5,7}:{(94,1),(98,1),(167,1),(171,1),(172,1),(181,1),(238,1),(258,1),(262,1),(312,1)}
       132:{2,4,5}:{(95,1),(96,1),(104,1),(155,1),(173,1)}
       133:{3,4,6}:{(96,1),(97,1),(170,1),(173,1)}
       134:{2,3,5,6}:{(97,1),(98,1),(171,1),(174,1),(175,1),(402,1)}
       135:{1,4,5,6}:{(98,1),(172,1),(175,1),(184,1),(241,1),(335,1),(367,1)}
       136:{1,4,6,7}:{(99,1),(102,1),(165,1),(176,1),(179,1),(399,1)}
       137:{1,3,6,7}:{(100,1),(103,1),(166,1),(178,1),(186,1),(377,1)}
       138:{1,3,5,6}:{(101,1),(107,1),(168,1),(179,1),(186,1),(320,1),(367,1)}
       139:{1,4,5,7}:{(101,1),(102,1),(104,1),(169,1),(179,1),(399,1),(411,1)}
       140:{1,3,4,7}:{(102,1),(103,1),(105,1),(170,1),(181,1),(399,1),(403,1)}
       141:{2,3,5,7}:{(103,1),(106,1),(178,1),(181,1),(182,1),(258,1),(262,1),(333,1)}
       142:{1,3,4,5}:{(104,1),(105,1),(110,1),(173,1),(183,1),(411,1),(412,1)}
       143:{2,4,6}:{(105,1),(106,1),(181,1),(183,1),(184,1)}
       144:{1,3,5,6}:{(106,1),(182,1),(184,1),(185,1),(189,1),(269,1),(270,1),(335,1)}
       145:{1,2,4,6}:{(107,1),(108,1),(179,1),(186,1),(265,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(186,1),(187,1)}
       147:{2,3,4,7}:{(109,1),(111,1),(181,1),(187,1),(188,1),(333,1)}
       148:{2,3,5}:{(110,1),(111,1),(183,1),(189,1)}
       149:{1,3,4,6}:{(111,1),(184,1),(188,1),(189,1),(190,1),(269,1),(270,1),(340,1)}
       150:{1,3,5,6,7}:{(112,1),(114,1),(125,1),(191,1),(192,1),(193,1),(221,1),(275,1),(302,1),(363,1)}
       151:{1,2,4,6,7}:{(112,1),(115,1),(126,1),(191,1),(192,1),(200,1),(210,1),(276,1),(295,1),(355,1)}
       152:{1,3,5,7}:{(113,1),(116,1),(119,1),(128,1),(193,1),(194,1),(302,1),(397,1)}
       153:{1,4,7}:{(114,1),(117,1),(129,1)}
       154:{1,3,5,7}:{(115,1),(118,1),(130,1),(192,1),(195,1),(196,1),(306,1),(392,1)}
       155:{1,4,5}:{(116,1),(117,1),(132,1)}
       156:{1,3,4,6}:{(117,1),(118,1),(133,1),(195,1),(197,1),(198,1),(396,1),(409,1)}
       157:{2,3,5,6}:{(118,1),(196,1),(198,1),(199,1),(203,1),(217,1),(284,1),(300,1),(343,1)}
       158:{1,2,5,6}:{(119,1),(193,1),(200,1),(308,1),(343,1)}
       159:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(194,1),(200,1),(201,1),(279,1)}
       160:{1,3,4,7}:{(120,1),(122,1),(201,1),(202,1),(306,1)}
       161:{1,3,5}:{(121,1),(122,1),(203,1)}
       162:{2,3,4,6}:{(122,1),(198,1),(202,1),(203,1),(204,1),(284,1),(300,1),(361,1)}
       163:{2,4,5,6,7}:{(123,1),(126,1),(205,1),(206,1),(207,1),(290,1)}
       164:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(205,1),(206,1),(219,1),(275,1)}
       165:{2,4,6,7}:{(125,1),(129,1),(136,1),(191,1),(207,1),(208,1),(211,1),(394,1)}
       166:{3,6,7}:{(126,1),(130,1)}
       167:{2,4,6,7}:{(127,1),(131,1),(206,1),(209,1),(210,1),(295,1)}
       168:{2,3,5,6}:{(128,1),(138,1),(193,1),(211,1),(228,1),(284,1),(292,1),(301,1),(343,1)}
       169:{2,4,5,7}:{(128,1),(129,1),(132,1),(139,1),(194,1),(211,1),(212,1),(394,1),(410,1)}
       170:{3,4,7}:{(129,1),(130,1),(133,1)}
       171:{2,3,5,7}:{(130,1),(131,1),(134,1),(209,1),(213,1),(214,1),(392,1)}
       172:{1,4,5,7}:{(131,1),(135,1),(210,1),(214,1),(224,1),(280,1),(302,1),(344,1)}
       173:{3,4,5}:{(132,1),(133,1)}
       174:{2,3,4,6}:{(133,1),(134,1),(143,1),(198,1),(213,1),(215,1),(216,1),(300,1),(409,1)}
       175:{1,3,5,6}:{(134,1),(135,1),(214,1),(216,1),(217,1)}
       176:{1,4,5,7}:{(136,1),(207,1),(218,1),(219,1),(344,1)}
       177:{1,3,4,6,7}:{(136,1),(137,1),(140,1),(208,1),(219,1),(220,1),(222,1)}
       178:{2,3,6,7}:{(137,1),(141,1),(220,1),(221,1),(228,1),(295,1)}
       179:{1,4,6}:{(138,1),(139,1),(211,1)}
       180:{1,3,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(212,1),(219,1),(222,1),(223,1)}
       181:{2,4,7}:{(140,1),(141,1),(143,1),(224,1)}
       182:{1,3,5,7}:{(141,1),(144,1),(221,1),(224,1),(225,1),(302,1),(306,1)}
       183:{2,4,5}:{(142,1),(143,1),(148,1),(226,1)}
       184:{1,4,6}:{(143,1),(144,1),(224,1),(226,1)}
       185:{1,2,5,6}:{(144,1),(217,1),(225,1),(227,1),(231,1),(308,1)}
       186:{1,3,6}:{(145,1),(146,1),(228,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(148,1),(223,1),(228,1),(229,1)}
       188:{1,3,4,7}:{(147,1),(149,1),(224,1),(229,1),(230,1),(306,1)}
       189:{1,3,5}:{(148,1),(149,1),(226,1),(231,1)}
       190:{1,2,4,6}:{(149,1),(230,1),(231,1),(232,1),(308,1),(310,1)}
       191:{1,4,6,7}:{(150,1),(153,1),(165,1),(233,1),(236,1),(383,1)}
       192:{1,3,6,7}:{(151,1),(154,1),(166,1),(235,1),(243,1),(377,1)}
       193:{1,3,5,6}:{(152,1),(158,1),(168,1),(236,1),(243,1),(270,1),(335,1)}
       194:{1,4,5,7}:{(152,1),(153,1),(155,1),(169,1),(236,1),(383,1),(406,1)}
       195:{1,3,4,7}:{(153,1),(154,1),(156,1),(170,1),(238,1),(383,1),(403,1)}
       196:{2,3,5,7}:{(154,1),(157,1),(235,1),(238,1),(239,1),(258,1),(312,1),(333,1)}
       197:{1,3,4,5}:{(155,1),(156,1),(161,1),(173,1),(240,1),(406,1),(412,1)}
       198:{2,4,6}:{(156,1),(157,1),(238,1),(240,1),(241,1)}
       199:{1,3,5,6}:{(157,1),(239,1),(241,1),(242,1),(246,1),(319,1),(320,1),(367,1)}
       200:{1,2,4,6}:{(158,1),(159,1),(236,1),(243,1),(315,1)}
       201:{1,3,5,7}:{(159,1),(160,1),(161,1),(243,1),(244,1)}
       202:{2,3,4,7}:{(160,1),(162,1),(238,1),(244,1),(245,1),(333,1)}
       203:{2,3,5}:{(161,1),(162,1),(240,1),(246,1)}
       204:{1,3,4,6}:{(162,1),(241,1),(245,1),(246,1),(247,1),(319,1),(320,1),(372,1)}
       205:{3,5,6,7}:{(163,1),(166,1),(248,1),(252,1)}
       206:{2,5,6,7}:{(164,1),(167,1),(250,1),(262,1),(312,1)}
       207:{2,4,5,7}:{(165,1),(176,1),(233,1),(251,1),(252,1),(262,1),(312,1)}
       208:{3,4,6,7}:{(165,1),(166,1),(170,1),(252,1),(255,1),(377,1),(403,1)}
       209:{2,3,6,7}:{(166,1),(167,1),(171,1),(254,1),(377,1)}
       210:{1,4,6,7}:{(167,1),(172,1),(250,1),(254,1)}
       211:{2,4,6}:{(168,1),(169,1),(179,1),(236,1),(255,1)}
       212:{3,4,5,7}:{(169,1),(170,1),(173,1),(252,1),(255,1),(403,1),(412,1)}
       213:{2,3,4,7}:{(170,1),(171,1),(174,1),(181,1),(238,1),(257,1),(333,1),(403,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(175,1),(254,1),(257,1),(258,1)}
       215:{2,3,4,5}:{(173,1),(174,1),(183,1),(240,1),(259,1),(334,1),(412,1)}
       216:{1,3,4,6}:{(174,1),(175,1),(184,1),(241,1),(257,1),(259,1),(260,1),(269,1),(319,1)}
       217:{2,5,6}:{(175,1),(258,1),(260,1)}
       218:{1,4,5,6}:{(176,1),(179,1),(251,1),(261,1),(367,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(252,1),(261,1),(262,1)}
       220:{2,4,6,7}:{(177,1),(178,1),(181,1),(262,1),(263,1),(265,1)}
       221:{1,3,6,7}:{(178,1),(182,1),(263,1),(264,1),(270,1)}
       222:{1,3,4,6}:{(179,1),(180,1),(186,1),(255,1),(261,1),(265,1)}
       223:{2,4,5,7}:{(180,1),(181,1),(183,1),(187,1),(262,1),(265,1),(266,1)}
       224:{1,4,7}:{(181,1),(182,1),(184,1)}
       225:{1,2,5,7}:{(182,1),(185,1),(258,1),(264,1),(267,1)}
       226:{1,4,5}:{(183,1),(184,1),(189,1)}
       227:{1,2,4,6}:{(184,1),(185,1),(260,1),(267,1),(268,1),(269,1)}
       228:{2,3,6}:{(186,1),(187,1),(265,1),(270,1)}
       229:{1,3,5,7}:{(187,1),(188,1),(189,1),(266,1),(270,1),(271,1)}
       230:{1,2,4,7}:{(188,1),(190,1),(271,1),(272,1)}
       231:{1,2,5}:{(189,1),(190,1)}
       232:{1,2,3,6}:{(190,1),(269,1),(272,1),(273,1)}
       233:{1,4,5,7}:{(191,1),(207,1),(274,1),(275,1),(302,1)}
       234:{1,3,4,6,7}:{(191,1),(192,1),(195,1),(208,1),(275,1),(276,1),(278,1)}
       235:{2,3,6,7}:{(192,1),(196,1),(276,1),(277,1),(284,1),(295,1)}
       236:{1,4,6}:{(193,1),(194,1),(211,1)}
       237:{1,3,4,5,7}:{(194,1),(195,1),(197,1),(201,1),(212,1),(275,1),(278,1),(279,1)}
       238:{2,4,7}:{(195,1),(196,1),(198,1),(280,1)}
       239:{1,3,5,7}:{(196,1),(199,1),(277,1),(280,1),(281,1),(344,1),(348,1)}
       240:{2,4,5}:{(197,1),(198,1),(203,1),(282,1)}
       241:{1,4,6}:{(198,1),(199,1),(280,1),(282,1)}
       242:{1,2,5,6}:{(199,1),(217,1),(281,1),(283,1),(287,1),(350,1)}
       243:{1,3,6}:{(200,1),(201,1),(284,1)}
       244:{2,3,5,7}:{(201,1),(202,1),(203,1),(279,1),(284,1),(285,1)}
       245:{1,3,4,7}:{(202,1),(204,1),(280,1),(285,1),(286,1),(348,1)}
       246:{1,3,5}:{(203,1),(204,1),(282,1),(287,1)}
       247:{1,2,4,6}:{(204,1),(286,1),(287,1),(288,1),(350,1),(352,1)}
       248:{3,4,6,7}:{(205,1),(289,1),(290,1)}
       249:{2,3,5,6,7}:{(205,1),(206,1),(209,1),(290,1),(291,1),(293,1)}
       250:{1,5,6,7}:{(206,1),(210,1),(302,1),(344,1)}
       251:{2,4,5,6}:{(207,1),(211,1),(218,1),(274,1),(292,1),(301,1),(343,1)}
       252:{3,5,7}:{(207,1),(208,1),(292,1)}
       253:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(220,1),(276,1),(290,1),(293,1),(294,1),(296,1),(358,1),(394,1)}
       254:{1,3,6,7}:{(209,1),(210,1),(214,1),(295,1)}
       255:{3,4,6}:{(211,1),(212,1),(292,1)}
       256:{2,3,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(279,1),(293,1),(296,1),(297,1),(360,1),(394,1),(410,1)}
       257:{1,3,4,7}:{(213,1),(214,1),(216,1),(224,1),(280,1),(298,1),(306,1),(348,1)}
       258:{2,5,7}:{(214,1),(217,1),(295,1),(298,1)}
       259:{1,3,4,5}:{(215,1),(216,1),(226,1),(282,1),(299,1),(307,1),(349,1)}
       260:{2,4,6}:{(216,1),(217,1),(298,1),(299,1),(300,1)}
       261:{1,3,5,6}:{(218,1),(219,1),(222,1),(292,1),(301,1)}
       262:{2,5,7}:{(219,1),(220,1),(301,1),(302,1)}
       263:{1,4,6,7}:{(220,1),(221,1),(224,1),(302,1),(304,1)}
       264:{1,2,6,7}:{(221,1),(225,1),(295,1),(308,1)}
       265:{2,4,6}:{(222,1),(223,1),(228,1),(301,1),(304,1)}
       266:{1,4,5,7}:{(223,1),(224,1),(226,1),(229,1),(302,1),(304,1)}
       267:{1,2,4,7}:{(224,1),(225,1),(227,1),(298,1),(306,1)}
       268:{1,2,4,5}:{(226,1),(227,1),(231,1),(299,1),(307,1),(310,1)}
       269:{1,3,6}:{(227,1),(300,1),(306,1),(307,1)}
       270:{1,3,6}:{(228,1),(229,1),(304,1),(308,1)}
       271:{1,2,5,7}:{(229,1),(230,1),(231,1),(308,1)}
       272:{1,2,3,7}:{(230,1),(232,1),(306,1)}
       273:{1,2,3,5}:{(231,1),(232,1),(307,1),(310,1)}
       274:{1,4,5,6}:{(233,1),(236,1),(251,1),(311,1),(335,1)}
       275:{1,3,5,7}:{(233,1),(234,1),(252,1),(311,1),(312,1)}
       276:{2,4,6,7}:{(234,1),(235,1),(238,1),(312,1),(313,1),(315,1)}
       277:{1,3,6,7}:{(235,1),(239,1),(313,1),(314,1),(320,1)}
       278:{1,3,4,6}:{(236,1),(237,1),(243,1),(255,1),(311,1),(315,1)}
       279:{2,4,5,7}:{(237,1),(238,1),(240,1),(244,1),(312,1),(315,1),(316,1)}
       280:{1,4,7}:{(238,1),(239,1),(241,1)}
       281:{1,2,5,7}:{(239,1),(242,1),(258,1),(314,1),(317,1)}
       282:{1,4,5}:{(240,1),(241,1),(246,1)}
       283:{1,2,4,6}:{(241,1),(242,1),(260,1),(317,1),(318,1),(319,1)}
       284:{2,3,6}:{(243,1),(244,1),(315,1),(320,1)}
       285:{1,3,5,7}:{(244,1),(245,1),(246,1),(316,1),(320,1),(321,1)}
       286:{1,2,4,7}:{(245,1),(247,1),(321,1),(322,1)}
       287:{1,2,5}:{(246,1),(247,1)}
       288:{1,2,3,6}:{(247,1),(319,1),(322,1),(323,1)}
       289:{3,4,5,7}:{(248,1),(252,1),(324,1),(325,1),(403,1)}
       290:{2,4,6,7}:{(248,1),(249,1),(325,1),(326,1)}
       291:{1,3,5,6,7}:{(249,1),(250,1),(254,1),(326,1),(327,1),(329,1),(377,1)}
       292:{3,5,6}:{(251,1),(252,1),(255,1)}
       293:{2,3,5,7}:{(252,1),(253,1),(262,1),(312,1),(325,1),(328,1),(329,1)}
       294:{1,3,4,6,7}:{(253,1),(254,1),(257,1),(263,1),(313,1),(326,1),(329,1),(330,1),(331,1),(337,1),(369,1),(377,1),(383,1),(399,1),(403,1)}
       295:{2,6,7}:{(254,1),(258,1)}
       296:{2,3,4,6}:{(255,1),(256,1),(265,1),(315,1),(328,1),(331,1),(380,1),(404,1)}
       297:{1,3,4,5,7}:{(256,1),(257,1),(259,1),(266,1),(316,1),(329,1),(331,1),(332,1),(339,1),(371,1),(383,1),(399,1),(403,1),(406,1),(411,1),(412,1)}
       298:{2,4,7}:{(257,1),(258,1),(260,1),(333,1)}
       299:{2,4,5}:{(259,1),(260,1),(334,1)}
       300:{2,3,6}:{(260,1),(269,1),(319,1),(333,1),(334,1)}
       301:{2,5,6}:{(261,1),(262,1),(265,1),(335,1)}
       302:{1,5,7}:{(262,1),(263,1),(335,1)}
       303:{1,2,4,6,7}:{(263,1),(264,1),(267,1),(330,1),(336,1),(337,1),(338,1),(383,1)}
       304:{1,4,6}:{(265,1),(266,1),(270,1),(335,1)}
       305:{1,2,4,5,7}:{(266,1),(267,1),(268,1),(271,1),(332,1),(336,1),(338,1),(339,1),(342,1),(383,1),(385,1),(406,1)}
       306:{1,3,7}:{(267,1),(269,1),(333,1)}
       307:{1,3,5}:{(268,1),(269,1),(334,1),(340,1)}
       308:{1,2,6}:{(270,1),(271,1)}
       309:{1,2,3,5,7}:{(271,1),(272,1),(273,1),(339,1),(341,1),(342,1),(385,1)}
       310:{1,2,4}:{(273,1),(340,1)}
       311:{1,3,5,6}:{(274,1),(275,1),(278,1),(292,1),(343,1)}
       312:{2,5,7}:{(275,1),(276,1),(343,1),(344,1)}
       313:{1,4,6,7}:{(276,1),(277,1),(280,1),(344,1),(346,1)}
       314:{1,2,6,7}:{(277,1),(281,1),(295,1),(350,1)}
       315:{2,4,6}:{(278,1),(279,1),(284,1),(343,1),(346,1)}
       316:{1,4,5,7}:{(279,1),(280,1),(282,1),(285,1),(344,1),(346,1)}
       317:{1,2,4,7}:{(280,1),(281,1),(283,1),(298,1),(348,1)}
       318:{1,2,4,5}:{(282,1),(283,1),(287,1),(299,1),(349,1),(352,1)}
       319:{1,3,6}:{(283,1),(300,1),(348,1),(349,1)}
       320:{1,3,6}:{(284,1),(285,1),(346,1),(350,1)}
       321:{1,2,5,7}:{(285,1),(286,1),(287,1),(350,1)}
       322:{1,2,3,7}:{(286,1),(288,1),(348,1)}
       323:{1,2,3,5}:{(287,1),(288,1),(349,1),(352,1)}
       324:{3,4,5,6}:{(289,1),(292,1),(353,1),(409,1)}
       325:{2,4,5,7}:{(289,1),(290,1),(293,1),(353,1),(354,1),(394,1)}
       326:{1,4,6,7}:{(290,1),(291,1),(354,1),(355,1)}
       327:{2,5,6,7}:{(291,1),(295,1),(355,1),(357,1)}
       328:{2,3,5,6}:{(292,1),(293,1),(296,1),(301,1),(343,1),(353,1),(356,1)}
       329:{1,3,5,7}:{(293,1),(294,1),(302,1),(344,1),(354,1),(356,1),(357,1),(392,1)}
       330:{2,4,6,7}:{(294,1),(295,1),(298,1),(357,1),(358,1),(359,1),(394,1)}
       331:{1,3,4,6}:{(296,1),(297,1),(304,1),(346,1),(356,1),(359,1),(364,1),(388,1),(396,1),(407,1),(409,1)}
       332:{2,4,5,7}:{(297,1),(298,1),(299,1),(357,1),(359,1),(360,1),(394,1),(410,1)}
       333:{2,3,7}:{(298,1),(300,1),(306,1),(348,1)}
       334:{2,3,5}:{(299,1),(300,1),(307,1),(349,1),(361,1)}
       335:{1,5,6}:{(301,1),(302,1),(304,1)}
       336:{1,2,5,7}:{(302,1),(303,1),(357,1),(362,1),(363,1)}
       337:{1,3,6,7}:{(303,1),(306,1),(358,1),(363,1),(364,1)}
       338:{1,2,4,6}:{(304,1),(305,1),(308,1),(359,1),(362,1),(364,1),(396,1)}
       339:{1,3,5,7}:{(305,1),(306,1),(307,1),(360,1),(364,1),(365,1),(397,1)}
       340:{1,3,4}:{(307,1),(310,1),(361,1)}
       341:{1,2,3,6}:{(308,1),(309,1),(364,1),(366,1)}
       342:{1,2,4,7}:{(309,1),(310,1),(365,1),(366,1)}
       343:{2,5,6}:{(311,1),(312,1),(315,1),(367,1)}
       344:{1,5,7}:{(312,1),(313,1),(367,1)}
       345:{1,2,4,6,7}:{(313,1),(314,1),(317,1),(330,1),(368,1),(369,1),(370,1),(399,1)}
       346:{1,4,6}:{(315,1),(316,1),(320,1),(367,1)}
       347:{1,2,4,5,7}:{(316,1),(317,1),(318,1),(321,1),(332,1),(368,1),(370,1),(371,1),(374,1),(399,1),(401,1),(411,1)}
       348:{1,3,7}:{(317,1),(319,1),(333,1)}
       349:{1,3,5}:{(318,1),(319,1),(334,1),(372,1)}
       350:{1,2,6}:{(320,1),(321,1)}
       351:{1,2,3,5,7}:{(321,1),(322,1),(323,1),(371,1),(373,1),(374,1),(401,1)}
       352:{1,2,4}:{(323,1),(372,1)}
       353:{2,4,5,6}:{(324,1),(325,1),(328,1),(375,1),(404,1)}
       354:{1,4,5,7}:{(325,1),(326,1),(329,1),(375,1),(376,1),(383,1),(399,1)}
       355:{2,4,6,7}:{(326,1),(327,1),(376,1),(377,1)}
       356:{1,3,5,6}:{(328,1),(329,1),(331,1),(335,1),(367,1),(375,1),(378,1),(402,1)}
       357:{2,5,7}:{(329,1),(330,1),(378,1)}
       358:{2,3,6,7}:{(330,1),(333,1),(337,1),(369,1),(377,1),(379,1),(380,1)}
       359:{2,4,6}:{(331,1),(332,1),(378,1),(380,1)}
       360:{2,3,5,7}:{(332,1),(333,1),(334,1),(339,1),(371,1),(380,1),(381,1),(405,1)}
       361:{2,3,4}:{(334,1),(340,1),(372,1)}
       362:{1,2,5,6}:{(335,1),(336,1),(338,1),(378,1),(382,1),(385,1)}
       363:{1,3,5,7}:{(336,1),(337,1),(379,1),(382,1),(383,1)}
       364:{1,3,6}:{(338,1),(339,1),(380,1)}
       365:{1,3,4,7}:{(339,1),(340,1),(342,1),(381,1),(383,1),(384,1)}
       366:{1,2,4,6}:{(341,1),(342,1),(384,1),(385,1)}
       367:{1,5,6}:{(343,1),(344,1),(346,1)}
       368:{1,2,5,7}:{(344,1),(345,1),(357,1),(386,1),(387,1)}
       369:{1,3,6,7}:{(345,1),(348,1),(358,1),(387,1),(388,1)}
       370:{1,2,4,6}:{(346,1),(347,1),(350,1),(359,1),(386,1),(388,1),(407,1)}
       371:{1,3,5,7}:{(347,1),(348,1),(349,1),(360,1),(388,1),(389,1),(408,1)}
       372:{1,3,4}:{(349,1),(352,1),(361,1)}
       373:{1,2,3,6}:{(350,1),(351,1),(388,1),(390,1)}
       374:{1,2,4,7}:{(351,1),(352,1),(389,1),(390,1)}
       375:{1,4,5,6}:{(353,1),(354,1),(356,1),(391,1),(396,1),(407,1)}
       376:{2,4,5,7}:{(354,1),(355,1),(357,1),(391,1),(392,1),(394,1)}
       377:{3,6,7}:{(355,1),(392,1)}
       378:{2,5,6}:{(356,1),(357,1),(359,1)}
       379:{2,3,5,7}:{(357,1),(358,1),(363,1),(387,1),(392,1),(393,1),(394,1)}
       380:{2,3,6}:{(359,1),(360,1),(364,1),(388,1)}
       381:{2,3,4,7}:{(360,1),(361,1),(365,1),(389,1),(394,1),(395,1)}
       382:{1,3,5,6}:{(362,1),(363,1),(364,1),(393,1),(396,1),(397,1)}
       383:{1,4,7}:{(363,1),(394,1),(396,1)}
       384:{1,3,4,6}:{(364,1),(365,1),(366,1),(395,1),(396,1),(397,1)}
       385:{1,2,5}:{(366,1),(397,1)}
       386:{1,2,5,6}:{(367,1),(368,1),(370,1),(378,1),(398,1),(401,1)}
       387:{1,3,5,7}:{(368,1),(369,1),(379,1),(398,1),(399,1)}
       388:{1,3,6}:{(370,1),(371,1),(380,1)}
       389:{1,3,4,7}:{(371,1),(372,1),(374,1),(381,1),(399,1),(400,1)}
       390:{1,2,4,6}:{(373,1),(374,1),(400,1),(401,1)}
       391:{2,4,5,6}:{(375,1),(376,1),(378,1),(402,1),(404,1)}
       392:{3,5,7}:{(376,1),(377,1),(402,1),(403,1)}
       393:{2,3,5,6}:{(378,1),(379,1),(380,1),(382,1),(398,1),(402,1),(404,1),(405,1)}
       394:{2,4,7}:{(379,1),(383,1),(399,1),(403,1),(404,1)}
       395:{2,3,4,6}:{(380,1),(381,1),(384,1),(400,1),(404,1),(405,1)}
       396:{1,4,6}:{(382,1),(383,1),(404,1),(406,1)}
       397:{1,3,5}:{(384,1),(385,1),(405,1),(406,1)}
       398:{1,3,5,6}:{(386,1),(387,1),(388,1),(393,1),(407,1),(408,1)}
       399:{1,4,7}:{(387,1),(394,1),(407,1)}
       400:{1,3,4,6}:{(388,1),(389,1),(390,1),(395,1),(407,1),(408,1)}
       401:{1,2,5}:{(390,1),(408,1)}
       402:{3,5,6}:{(391,1),(392,1),(409,1)}
       403:{3,4,7}:{(392,1),(394,1),(409,1)}
       404:{2,4,6}:{(393,1),(394,1),(396,1),(407,1),(409,1),(410,1)}
       405:{2,3,5}:{(395,1),(397,1),(408,1),(410,1)}
       406:{1,4,5}:{(396,1),(397,1),(410,1)}
       407:{1,4,6}:{(398,1),(399,1),(404,1),(411,1)}
       408:{1,3,5}:{(400,1),(401,1),(405,1),(411,1)}
       409:{3,4,6}:{(402,1),(403,1),(404,1),(412,1)}
       410:{2,4,5}:{(404,1),(405,1),(406,1),(411,1),(412,1)}
       411:{1,4,5}:{(407,1),(408,1),(410,1)}
       412:{3,4,5}:{(409,1),(410,1)}

2337 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2338 :   0:{1,2,3,5,6}:{(1,1),(2,1),(10,1),(32,1),(42,1),(44,1),(46,1),(96,1),(108,1),(192,1),(194,1),(284,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(22,1),(24,1),(73,1),(155,1),(241,1),(326,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(59,1),(62,1),(325,1)}
         3:{1,3,4,6}:{(2,1),(8,1),(9,1),(10,1),(44,1),(95,1),(192,1)}
         4:{1,2,3,6,7}:{(1,1),(11,1),(44,1),(96,1),(114,1),(205,1),(285,1),(293,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(102,1),(363,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(33,1),(194,1),(283,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(51,1),(103,1),(216,1),(218,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(62,1),(72,1),(78,1),(131,1),(165,1),(229,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(19,1),(22,1),(241,1)}
        10:{1,3,5}:{(3,1),(6,1),(20,1)}
        11:{1,2,4,6,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(143,1),(149,1),(334,1),(399,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(24,1),(25,1),(61,1),(74,1)}
        13:{1,2,4,5,6}:{(6,1),(23,1),(25,1),(26,1),(29,1),(62,1),(84,1),(137,1),(145,1),(148,1),(150,1),(224,1),(244,1),(261,1),(317,1),(325,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(62,1),(84,1),(148,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(64,1),(85,1),(151,1),(264,1),(265,1),(344,1)}
        16:{1,3,4,5}:{(10,1),(33,1),(35,1),(283,1),(301,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(192,1)}
        18:{1,3,4,6}:{(8,1),(37,1),(38,1),(39,1),(95,1),(100,1),(110,1),(192,1)}
        19:{2,3,4,7}:{(8,1),(9,1),(38,1),(41,1),(102,1),(213,1),(274,1)}
        20:{2,3,5}:{(8,1),(10,1),(33,1),(39,1)}
        21:{1,3,4,6,7}:{(9,1),(11,1),(40,1),(43,1),(44,1),(115,1),(190,1),(285,1),(294,1),(363,1),(371,1),(373,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,5,6}:{(10,1),(13,1),(35,1),(42,1),(44,1),(45,1),(192,1),(304,1),(355,1)}
        24:{1,2,5,7}:{(11,1),(43,1),(46,1),(194,1),(200,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(46,1),(101,1),(115,1)}
        26:{1,2,4,5,7}:{(13,1),(45,1),(47,1),(53,1),(102,1),(125,1),(187,1),(196,1),(200,1),(201,1),(269,1),(289,1),(305,1),(356,1),(363,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(50,1),(180,1),(301,1)}
        28:{2,3,5,6}:{(14,1),(50,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(100,1),(197,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(102,1),(125,1),(200,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(308,1)}
        32:{1,2,3,5}:{(17,1),(59,1),(67,1),(141,1)}
        33:{2,4,5}:{(16,1),(20,1),(60,1),(62,1)}
        34:{1,3,4,5,7}:{(16,1),(22,1),(61,1),(63,1),(64,1),(74,1),(151,1),(159,1)}
        35:{1,3,4,6}:{(16,1),(23,1),(62,1),(64,1),(325,1),(341,1),(384,1)}
        36:{1,2,3,7}:{(17,1),(66,1),(241,1)}
        37:{1,2,4,6}:{(17,1),(18,1),(59,1),(66,1),(67,1),(154,1)}
        38:{1,3,4,7}:{(18,1),(19,1),(66,1),(69,1),(147,1),(241,1)}
        39:{1,3,5}:{(18,1),(20,1),(60,1),(67,1)}
        40:{2,3,4,6,7}:{(19,1),(21,1),(68,1),(71,1),(72,1),(149,1),(160,1),(163,1),(227,1),(250,1),(257,1),(260,1),(316,1),(336,1),(339,1),(342,1),(385,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(61,1),(69,1),(72,1)}
        42:{2,3,5,6}:{(20,1),(23,1),(62,1),(70,1),(72,1),(73,1),(84,1),(148,1),(165,1),(224,1),(229,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(71,1),(74,1),(75,1),(239,1),(398,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(64,1),(73,1),(76,1),(241,1),(344,1),(387,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(75,1),(148,1),(399,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(76,1),(77,1),(87,1),(149,1),(162,1),(172,1),(236,1),(266,1),(311,1),(381,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(81,1),(141,1)}
        49:{2,3,4,5,7}:{(27,1),(61,1),(80,1),(82,1),(83,1),(159,1),(171,1),(228,1),(254,1),(314,1),(340,1),(385,1),(404,1)}
        50:{2,3,4,6}:{(27,1),(28,1),(62,1),(81,1),(83,1),(229,1),(341,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(81,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(83,1),(85,1),(86,1),(344,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(147,1),(247,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(151,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(92,1),(118,1),(352,1)}
        57:{1,3,4,5,6}:{(35,1),(93,1),(94,1),(103,1),(177,1),(277,1),(279,1),(355,1)}
        58:{1,2,3,5,7}:{(32,1),(36,1),(96,1),(97,1),(107,1),(191,1),(194,1),(293,1),(360,1),(370,1)}
        59:{1,2,4}:{(32,1),(95,1)}
        60:{1,4,5}:{(33,1),(39,1),(100,1)}
        61:{2,4,5,7}:{(33,1),(34,1),(41,1),(99,1),(101,1),(102,1),(200,1)}
        62:{2,4,6}:{(33,1),(35,1),(42,1),(100,1),(102,1)}
        63:{1,3,4,6}:{(34,1),(44,1),(101,1),(103,1),(115,1),(209,1)}
        64:{1,3,4,7}:{(35,1),(45,1),(102,1),(363,1),(376,1),(412,1)}
        65:{1,2,3,6,7}:{(36,1),(96,1),(105,1),(106,1),(285,1),(296,1),(372,1),(423,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(38,1),(107,1)}
        67:{1,2,5}:{(37,1),(39,1)}
        68:{1,3,4,6,7}:{(38,1),(40,1),(106,1),(109,1),(110,1),(190,1),(198,1),(202,1),(207,1),(285,1),(296,1),(363,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(99,1),(107,1),(110,1)}
        70:{1,3,5,6}:{(39,1),(42,1),(100,1),(108,1),(110,1),(111,1),(192,1),(197,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(109,1),(112,1),(113,1),(200,1),(211,1),(272,1),(292,1),(369,1)}
        72:{2,3,6}:{(41,1),(44,1),(101,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(102,1),(111,1),(114,1),(125,1),(200,1),(213,1),(269,1),(274,1)}
        74:{1,4,5,7}:{(43,1),(112,1),(115,1),(283,1),(363,1)}
        75:{1,3,5,6}:{(43,1),(44,1),(46,1),(113,1),(115,1),(368,1),(371,1)}
        76:{1,3,6,7}:{(44,1),(45,1),(47,1),(114,1),(308,1),(408,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(116,1),(128,1),(200,1),(220,1),(281,1),(289,1),(349,1),(423,1)}
        78:{2,3,4}:{(95,1),(118,1)}
        79:{2,4,5}:{(48,1),(118,1),(120,1)}
        80:{1,3,4,5,7}:{(48,1),(49,1),(99,1),(119,1),(121,1),(122,1),(191,1),(217,1),(283,1),(298,1),(301,1),(363,1),(374,1),(376,1),(426,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(51,1),(100,1),(120,1),(122,1),(192,1)}
        82:{2,3,4,6}:{(49,1),(101,1),(121,1),(123,1),(209,1),(273,1),(299,1),(353,1)}
        83:{2,3,4,7}:{(50,1),(52,1),(102,1),(122,1),(274,1),(376,1)}
        84:{2,5,6}:{(51,1),(120,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(122,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(308,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(200,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(310,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(134,1),(141,1)}
        91:{2,3,4,5,7}:{(56,1),(61,1),(133,1),(135,1),(136,1),(159,1),(164,1),(235,1),(254,1),(258,1),(342,1),(383,1),(433,1)}
        92:{2,3,4,6}:{(56,1),(62,1),(130,1),(134,1),(136,1),(165,1),(384,1)}
        93:{2,4,5,6}:{(57,1),(62,1),(130,1),(137,1),(138,1),(148,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(64,1),(138,1),(139,1),(151,1),(225,1),(320,1),(321,1),(387,1)}
        95:{1,3,4}:{(59,1),(78,1),(131,1),(141,1)}
        96:{1,2,3,6}:{(58,1),(143,1),(154,1),(240,1),(399,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(140,1),(143,1),(391,1)}
        98:{1,2,4,5}:{(59,1),(60,1),(67,1),(79,1),(132,1),(141,1),(145,1)}
        99:{1,4,5,7}:{(60,1),(61,1),(69,1),(146,1),(147,1),(247,1)}
       100:{1,4,6}:{(60,1),(62,1),(70,1),(147,1)}
       101:{2,4,6}:{(61,1),(63,1),(72,1),(146,1),(148,1)}
       102:{2,4,7}:{(62,1),(64,1),(73,1),(147,1)}
       103:{1,3,5,6}:{(63,1),(148,1),(150,1),(151,1),(248,1)}
       104:{1,3,4,6,7}:{(63,1),(64,1),(76,1),(149,1),(151,1),(162,1),(257,1)}
       105:{1,2,3,5,7}:{(65,1),(142,1),(152,1),(153,1),(251,1),(326,1),(397,1),(439,1),(453,1)}
       106:{1,2,4,6,7}:{(65,1),(66,1),(68,1),(143,1),(152,1),(153,1),(154,1),(252,1),(339,1)}
       107:{1,2,5,7}:{(66,1),(67,1),(69,1),(154,1)}
       108:{1,2,5,6}:{(67,1),(70,1),(84,1),(145,1),(154,1),(155,1),(224,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(153,1),(156,1),(157,1),(239,1),(247,1)}
       110:{1,3,6}:{(69,1),(72,1),(146,1),(154,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(147,1),(155,1),(158,1),(241,1),(247,1)}
       112:{2,4,5,7}:{(71,1),(74,1),(156,1),(159,1),(160,1),(258,1),(314,1),(342,1),(385,1)}
       113:{2,3,5,6}:{(71,1),(72,1),(75,1),(148,1),(157,1),(160,1),(248,1),(332,1),(336,1)}
       114:{2,3,6,7}:{(72,1),(73,1),(76,1),(149,1),(158,1),(172,1),(311,1)}
       115:{1,4,6}:{(74,1),(75,1),(160,1)}
       116:{1,3,5,6,7}:{(75,1),(76,1),(77,1),(151,1),(161,1),(162,1),(326,1),(398,1),(400,1)}
       117:{2,3,4,7}:{(78,1),(140,1),(163,1),(164,1),(342,1),(401,1)}
       118:{2,3,5}:{(78,1),(79,1),(141,1),(165,1)}
       119:{2,4,5,7}:{(79,1),(80,1),(164,1),(166,1),(167,1),(258,1),(262,1),(342,1),(402,1),(441,1)}
       120:{2,4,6}:{(79,1),(81,1),(84,1),(165,1),(167,1)}
       121:{1,3,4,6}:{(80,1),(82,1),(146,1),(166,1),(168,1),(240,1),(325,1),(338,1),(341,1)}
       122:{1,3,4,7}:{(81,1),(83,1),(85,1),(147,1),(167,1),(241,1)}
       123:{2,3,5,6}:{(82,1),(148,1),(168,1),(170,1),(171,1),(248,1),(332,1)}
       124:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(149,1),(169,1),(171,1),(174,1),(257,1),(316,1),(339,1),(347,1),(385,1),(404,1)}
       125:{2,5,7}:{(84,1),(85,1),(167,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(171,1),(173,1),(174,1),(176,1),(268,1),(347,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(247,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(249,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(92,1),(93,1),(177,1),(178,1),(355,1)}
       131:{2,3,4}:{(95,1),(180,1)}
       132:{2,4,5}:{(90,1),(180,1),(182,1)}
       133:{1,3,4,5,7}:{(90,1),(91,1),(99,1),(181,1),(183,1),(184,1),(191,1),(278,1),(283,1),(298,1),(352,1),(363,1),(410,1),(412,1),(445,1)}
       134:{1,3,4,6}:{(90,1),(92,1),(100,1),(177,1),(182,1),(184,1),(192,1)}
       135:{2,3,4,6}:{(91,1),(101,1),(183,1),(185,1),(209,1),(212,1),(299,1),(302,1)}
       136:{2,3,4,7}:{(92,1),(102,1),(178,1),(184,1),(213,1),(412,1)}
       137:{1,4,5,6}:{(93,1),(100,1),(177,1),(187,1),(197,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(102,1),(178,1),(187,1),(188,1),(200,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(350,1),(351,1),(408,1)}
       140:{1,3,4,7}:{(95,1),(97,1),(117,1),(179,1),(190,1),(191,1),(363,1),(417,1)}
       141:{1,3,5}:{(95,1),(98,1),(118,1),(180,1),(192,1)}
       142:{1,2,3,5,6}:{(96,1),(105,1),(193,1),(194,1),(204,1),(284,1),(287,1),(296,1),(360,1),(366,1),(421,1),(447,1)}
       143:{1,2,4,6}:{(96,1),(97,1),(190,1),(194,1)}
       144:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(107,1),(119,1),(181,1),(191,1),(194,1),(195,1),(196,1),(283,1),(289,1),(298,1),(363,1),(370,1),(418,1),(448,1)}
       145:{1,2,4,6}:{(98,1),(100,1),(108,1),(120,1),(182,1),(192,1),(196,1)}
       146:{1,4,6}:{(99,1),(101,1),(110,1),(197,1)}
       147:{1,4,7}:{(100,1),(102,1),(111,1)}
       148:{2,5,6}:{(101,1),(103,1),(197,1),(200,1)}
       149:{2,4,6,7}:{(101,1),(102,1),(104,1),(114,1),(198,1),(200,1)}
       150:{1,4,5,6}:{(103,1),(115,1),(199,1),(201,1),(368,1)}
       151:{1,3,5,7}:{(103,1),(104,1),(200,1),(201,1),(292,1)}
       152:{1,2,4,7}:{(105,1),(193,1),(202,1),(363,1),(420,1)}
       153:{1,2,5,7}:{(106,1),(109,1),(194,1),(204,1),(369,1)}
       154:{1,2,6}:{(107,1),(110,1)}
       155:{1,2,5,7}:{(108,1),(111,1),(125,1),(196,1),(205,1),(269,1)}
       156:{1,4,5,7}:{(109,1),(112,1),(207,1),(283,1),(363,1)}
       157:{1,3,5,6}:{(109,1),(110,1),(113,1),(197,1),(204,1),(207,1),(296,1)}
       158:{1,3,6,7}:{(110,1),(111,1),(114,1),(198,1),(205,1)}
       159:{3,4,5,7}:{(112,1),(209,1),(292,1),(301,1),(352,1),(376,1),(412,1)}
       160:{2,4,6}:{(112,1),(113,1),(115,1),(207,1),(209,1)}
       161:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(200,1),(208,1),(210,1),(220,1),(292,1),(303,1),(308,1),(349,1),(354,1),(369,1),(372,1),(408,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(210,1),(363,1)}
       163:{2,3,4,6}:{(117,1),(190,1),(211,1),(212,1),(302,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(119,1),(191,1),(211,1),(212,1),(213,1),(424,1),(449,1)}
       165:{2,3,6}:{(118,1),(120,1),(192,1),(213,1)}
       166:{2,4,6}:{(119,1),(121,1),(212,1),(214,1)}
       167:{2,4,7}:{(120,1),(122,1),(125,1),(213,1)}
       168:{1,3,5,6}:{(121,1),(123,1),(197,1),(214,1),(216,1),(217,1),(304,1),(368,1)}
       169:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(198,1),(215,1),(217,1),(221,1),(285,1),(308,1),(363,1),(373,1),(376,1),(380,1),(426,1)}
       170:{2,4,5,6}:{(123,1),(216,1),(218,1),(219,1),(353,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(200,1),(217,1),(219,1),(292,1),(369,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(217,1),(220,1),(221,1),(308,1),(310,1),(380,1)}
       174:{2,4,6,7}:{(127,1),(219,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(291,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(308,1)}
       177:{1,3,5,6}:{(130,1),(134,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(136,1),(138,1),(225,1),(226,1),(387,1)}
       179:{2,3,4,7}:{(131,1),(140,1),(227,1),(228,1),(385,1),(430,1)}
       180:{2,3,5}:{(131,1),(132,1),(141,1),(229,1)}
       181:{2,4,5,7}:{(132,1),(133,1),(228,1),(230,1),(231,1),(314,1),(318,1),(385,1),(431,1),(452,1)}
       182:{2,4,6}:{(132,1),(134,1),(224,1),(229,1),(231,1)}
       183:{1,3,4,6}:{(133,1),(135,1),(146,1),(230,1),(232,1),(240,1),(325,1),(338,1),(384,1)}
       184:{1,3,4,7}:{(134,1),(136,1),(147,1),(225,1),(231,1),(241,1)}
       185:{2,3,5,6}:{(135,1),(148,1),(232,1),(234,1),(235,1),(248,1),(332,1)}
       186:{2,3,4,6,7}:{(135,1),(136,1),(149,1),(226,1),(233,1),(235,1),(257,1),(260,1),(313,1),(339,1),(342,1),(428,1),(433,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(147,1),(225,1),(236,1),(247,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(311,1)}
       189:{1,3,5,6,7}:{(139,1),(151,1),(237,1),(238,1),(323,1)}
       190:{1,3,4,6}:{(140,1),(143,1),(163,1),(227,1),(239,1),(240,1),(325,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(144,1),(164,1),(228,1),(239,1),(240,1),(241,1),(436,1),(453,1)}
       192:{1,3,6}:{(141,1),(145,1),(165,1),(229,1),(241,1)}
       193:{1,2,4,6}:{(142,1),(152,1),(242,1),(243,1),(325,1),(391,1),(393,1)}
       194:{1,2,5}:{(143,1),(239,1)}
       195:{1,2,4,6}:{(144,1),(146,1),(154,1),(166,1),(230,1),(240,1),(244,1),(325,1),(338,1),(399,1)}
       196:{1,2,4,7}:{(145,1),(147,1),(155,1),(167,1),(231,1),(241,1)}
       197:{1,5,6}:{(146,1),(148,1),(247,1)}
       198:{1,4,6,7}:{(146,1),(147,1),(149,1),(158,1),(247,1)}
       199:{2,4,5,6}:{(148,1),(150,1),(160,1),(246,1),(248,1),(249,1),(332,1)}
       200:{2,5,7}:{(148,1),(149,1),(151,1),(247,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(249,1),(398,1)}
       202:{1,3,4,7}:{(152,1),(242,1),(250,1),(251,1),(453,1)}
       203:{1,2,4,5,7}:{(152,1),(153,1),(156,1),(243,1),(251,1),(252,1),(254,1)}
       204:{1,2,5,6}:{(153,1),(154,1),(157,1),(252,1),(332,1)}
       205:{1,2,6,7}:{(154,1),(155,1),(158,1),(172,1),(311,1)}
       206:{1,3,4,5,7}:{(156,1),(159,1),(251,1),(254,1),(255,1),(324,1),(333,1),(394,1)}
       207:{1,4,6}:{(156,1),(157,1),(160,1)}
       208:{1,3,5,6,7}:{(157,1),(158,1),(161,1),(247,1),(253,1),(256,1),(326,1),(333,1),(337,1)}
       209:{3,4,6}:{(159,1),(160,1),(248,1)}
       210:{2,4,6,7}:{(160,1),(161,1),(162,1),(249,1),(256,1),(257,1),(342,1),(385,1)}
       211:{2,3,5}:{(163,1),(239,1),(258,1)}
       212:{2,3,6}:{(164,1),(166,1),(240,1)}
       213:{2,3,7}:{(165,1),(167,1),(241,1)}
       214:{2,5,6}:{(166,1),(168,1),(262,1)}
       215:{2,4,6,7}:{(166,1),(167,1),(169,1),(172,1),(260,1),(262,1),(342,1),(407,1),(441,1)}
       216:{1,4,5,6}:{(168,1),(170,1),(261,1),(264,1),(325,1)}
       217:{1,3,5,7}:{(168,1),(169,1),(171,1),(247,1),(262,1),(264,1),(344,1),(398,1)}
       218:{3,4,5,6}:{(170,1),(248,1),(265,1),(384,1)}
       219:{2,4,5,7}:{(170,1),(171,1),(174,1),(264,1),(265,1),(385,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(262,1),(266,1),(407,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(264,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(333,1)}
       224:{2,5,6}:{(177,1),(182,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(184,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(408,1)}
       227:{2,3,4,6}:{(179,1),(190,1),(272,1),(273,1),(353,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,6}:{(180,1),(182,1),(192,1),(274,1)}
       230:{2,4,6}:{(181,1),(183,1),(273,1),(275,1)}
       231:{2,4,7}:{(182,1),(184,1),(269,1),(274,1)}
       232:{1,3,5,6}:{(183,1),(185,1),(197,1),(275,1),(277,1),(278,1),(355,1),(368,1)}
       233:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(198,1),(270,1),(276,1),(278,1),(285,1),(350,1),(363,1),(373,1),(408,1),(412,1),(442,1),(445,1)}
       234:{2,4,5,6}:{(185,1),(277,1),(279,1),(280,1),(302,1)}
       235:{2,3,5,7}:{(185,1),(186,1),(200,1),(278,1),(280,1),(292,1),(369,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(200,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(350,1),(416,1)}
       239:{1,3,5}:{(190,1),(194,1),(211,1),(272,1),(283,1)}
       240:{1,3,6}:{(191,1),(195,1),(212,1),(273,1)}
       241:{1,3,7}:{(192,1),(196,1),(213,1),(274,1)}
       242:{1,3,4,6}:{(193,1),(202,1),(286,1),(287,1),(296,1),(417,1),(447,1)}
       243:{1,2,4,5}:{(193,1),(194,1),(283,1),(287,1),(361,1)}
       244:{1,2,5,6}:{(194,1),(195,1),(197,1),(214,1),(275,1),(284,1),(289,1),(368,1)}
       245:{1,2,4,6,7}:{(195,1),(196,1),(198,1),(205,1),(215,1),(276,1),(285,1),(289,1),(363,1),(373,1),(423,1),(448,1)}
       246:{1,4,5,6}:{(197,1),(199,1),(207,1),(290,1),(291,1)}
       247:{1,5,7}:{(197,1),(198,1),(200,1)}
       248:{3,5,6}:{(199,1),(209,1),(292,1)}
       249:{2,4,5,7}:{(199,1),(200,1),(201,1),(210,1),(291,1),(292,1),(369,1)}
       250:{2,3,4,7}:{(202,1),(286,1),(294,1),(295,1),(420,1),(449,1),(454,1)}
       251:{1,3,5,7}:{(202,1),(203,1),(287,1),(295,1),(296,1)}
       252:{1,2,4,6}:{(203,1),(204,1),(207,1),(296,1),(299,1)}
       253:{1,2,5,6,7}:{(204,1),(205,1),(208,1),(220,1),(289,1),(297,1),(310,1),(349,1),(369,1),(416,1)}
       254:{2,4,5,7}:{(206,1),(295,1),(298,1),(299,1),(361,1),(369,1),(420,1)}
       255:{1,3,4,6}:{(206,1),(207,1),(209,1),(290,1),(296,1),(299,1)}
       256:{1,4,6,7}:{(207,1),(208,1),(210,1),(291,1),(363,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(308,1),(376,1),(408,1),(412,1)}
       258:{2,4,5}:{(211,1),(283,1),(301,1),(302,1)}
       259:{2,3,5,6}:{(211,1),(212,1),(214,1),(284,1),(302,1),(303,1),(304,1)}
       260:{2,3,6,7}:{(212,1),(213,1),(215,1),(285,1),(303,1),(308,1),(449,1)}
       261:{2,4,5,6}:{(214,1),(216,1),(302,1),(304,1),(305,1)}
       262:{2,5,7}:{(214,1),(215,1),(217,1)}
       263:{1,3,4,5,6}:{(216,1),(218,1),(290,1),(304,1),(306,1),(307,1),(362,1),(377,1)}
       264:{1,4,5,7}:{(216,1),(217,1),(219,1),(221,1),(305,1),(363,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(412,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(305,1),(308,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(307,1),(308,1),(309,1),(380,1)}
       268:{2,5,6,7}:{(223,1),(309,1),(310,1),(369,1)}
       269:{2,5,7}:{(224,1),(225,1),(231,1),(311,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(311,1)}
       271:{2,3,5,6,7}:{(226,1),(235,1),(237,1),(312,1),(313,1),(323,1),(390,1),(428,1)}
       272:{2,3,5}:{(227,1),(239,1),(314,1)}
       273:{2,3,6}:{(228,1),(230,1),(240,1)}
       274:{2,3,7}:{(229,1),(231,1),(241,1)}
       275:{2,5,6}:{(230,1),(232,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(311,1),(316,1),(318,1),(385,1),(450,1),(452,1)}
       277:{1,4,5,6}:{(232,1),(234,1),(317,1),(320,1),(325,1)}
       278:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(318,1),(320,1),(387,1),(398,1)}
       279:{3,4,5,6}:{(234,1),(248,1),(321,1),(341,1)}
       280:{2,4,5,7}:{(234,1),(235,1),(313,1),(320,1),(321,1),(342,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(247,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(249,1),(313,1),(322,1),(323,1),(381,1),(390,1)}
       283:{1,4,5}:{(239,1),(258,1),(314,1),(325,1)}
       284:{1,3,5,6}:{(239,1),(240,1),(244,1),(259,1),(315,1),(325,1),(326,1)}
       285:{1,3,6,7}:{(240,1),(241,1),(245,1),(260,1),(316,1),(326,1),(453,1)}
       286:{2,3,4,6}:{(242,1),(250,1),(328,1),(329,1),(336,1),(393,1),(401,1),(430,1),(440,1),(451,1)}
       287:{1,3,5}:{(242,1),(243,1),(329,1)}
       288:{1,2,4,5,6}:{(243,1),(244,1),(246,1),(252,1),(261,1),(317,1),(325,1),(330,1),(331,1),(332,1),(345,1),(388,1),(393,1),(405,1),(434,1),(437,1)}
       289:{1,2,5,7}:{(244,1),(245,1),(247,1),(262,1),(318,1),(326,1),(398,1)}
       290:{1,3,5,6}:{(246,1),(248,1),(255,1),(332,1),(333,1)}
       291:{1,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(333,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,3,7}:{(327,1),(334,1),(453,1)}
       294:{1,3,4,7}:{(250,1),(328,1),(334,1),(335,1),(438,1),(453,1)}
       295:{2,3,5,7}:{(250,1),(251,1),(254,1),(329,1),(335,1),(336,1)}
       296:{1,3,6}:{(251,1),(252,1),(336,1)}
       297:{1,2,4,6,7}:{(252,1),(253,1),(256,1),(266,1),(331,1),(337,1),(339,1),(348,1),(381,1),(407,1),(429,1),(450,1)}
       298:{1,4,5,7}:{(254,1),(335,1),(338,1),(392,1),(398,1),(438,1)}
       299:{2,4,6}:{(254,1),(255,1),(332,1),(336,1),(338,1)}
       300:{1,3,4,6,7}:{(255,1),(256,1),(257,1),(333,1),(337,1),(339,1),(394,1)}
       301:{3,4,5}:{(258,1),(341,1)}
       302:{2,4,6}:{(258,1),(259,1),(325,1),(341,1),(342,1)}
       303:{2,3,5,7}:{(259,1),(260,1),(262,1),(326,1),(342,1),(344,1)}
       304:{3,5,6}:{(261,1),(341,1),(344,1)}
       305:{2,4,5,7}:{(261,1),(262,1),(264,1),(266,1),(342,1),(344,1)}
       306:{2,4,5,6}:{(263,1),(332,1),(343,1),(345,1),(346,1),(393,1),(405,1)}
       307:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(333,1),(344,1),(346,1),(394,1),(406,1)}
       308:{3,6,7}:{(266,1),(344,1)}
       309:{2,4,6,7}:{(267,1),(268,1),(346,1),(347,1),(348,1),(407,1)}
       310:{1,5,6,7}:{(268,1),(348,1),(398,1)}
       311:{2,6,7}:{(269,1),(270,1)}
       312:{1,3,5,6,7}:{(270,1),(271,1),(278,1),(281,1),(349,1),(350,1),(408,1),(416,1),(442,1)}
       313:{2,4,6,7}:{(271,1),(280,1),(350,1),(351,1)}
       314:{2,4,5}:{(272,1),(283,1),(352,1),(353,1)}
       315:{2,3,5,6}:{(272,1),(273,1),(275,1),(284,1),(353,1),(354,1),(355,1)}
       316:{2,3,6,7}:{(273,1),(274,1),(276,1),(285,1),(354,1),(408,1),(454,1)}
       317:{2,4,5,6}:{(275,1),(277,1),(353,1),(355,1),(356,1)}
       318:{2,5,7}:{(275,1),(276,1),(278,1)}
       319:{1,3,4,5,6}:{(277,1),(279,1),(290,1),(355,1),(357,1),(358,1),(362,1),(413,1)}
       320:{1,4,5,7}:{(277,1),(278,1),(280,1),(350,1),(356,1),(363,1)}
       321:{3,4,5,7}:{(279,1),(280,1),(292,1),(351,1),(376,1)}
       322:{1,4,5,6,7}:{(281,1),(282,1),(291,1),(350,1),(359,1)}
       323:{3,5,6,7}:{(282,1),(292,1),(351,1),(408,1)}
       324:{1,3,4,5}:{(283,1),(287,1),(301,1),(352,1),(361,1),(362,1)}
       325:{1,4,6}:{(283,1),(284,1),(302,1),(353,1),(363,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(303,1),(354,1),(363,1)}
       327:{1,2,3,6}:{(293,1),(360,1),(364,1),(447,1)}
       328:{1,3,4,6}:{(286,1),(294,1),(364,1),(365,1),(371,1),(417,1),(419,1),(447,1)}
       329:{2,3,5}:{(286,1),(287,1),(361,1),(365,1)}
       330:{1,3,5,6}:{(287,1),(288,1),(296,1),(304,1),(355,1),(362,1),(366,1),(367,1),(447,1)}
       331:{1,2,4,5,7}:{(288,1),(289,1),(291,1),(297,1),(305,1),(356,1),(363,1),(367,1),(369,1),(379,1),(415,1),(420,1),(427,1),(446,1),(448,1)}
       332:{2,5,6}:{(290,1),(299,1),(368,1),(369,1)}
       333:{1,3,5,7}:{(290,1),(291,1),(292,1),(300,1),(369,1)}
       334:{1,2,4,7}:{(293,1),(294,1),(364,1),(370,1)}
       335:{1,3,5,7}:{(294,1),(295,1),(298,1),(365,1),(370,1),(371,1)}
       336:{2,3,6}:{(295,1),(296,1),(299,1),(371,1)}
       337:{1,3,6,7}:{(296,1),(297,1),(308,1),(367,1),(372,1),(408,1)}
       338:{1,4,6}:{(298,1),(299,1),(368,1),(371,1)}
       339:{2,4,6,7}:{(299,1),(300,1),(369,1),(372,1),(373,1),(420,1)}
       340:{2,3,4,5}:{(301,1),(361,1),(374,1),(375,1),(443,1)}
       341:{3,4,6}:{(301,1),(302,1),(304,1),(376,1)}
       342:{2,4,7}:{(302,1),(303,1),(363,1),(376,1)}
       343:{2,3,5,6}:{(304,1),(306,1),(375,1),(377,1),(378,1)}
       344:{3,5,7}:{(304,1),(305,1),(308,1),(376,1)}
       345:{1,4,5,6}:{(306,1),(368,1),(377,1),(379,1),(419,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(309,1),(369,1),(378,1),(379,1),(420,1),(427,1)}
       347:{2,3,6,7}:{(308,1),(309,1),(378,1),(380,1)}
       348:{1,4,6,7}:{(309,1),(310,1),(379,1),(380,1)}
       349:{2,5,6,7}:{(311,1),(312,1),(318,1),(381,1),(450,1)}
       350:{1,4,6,7}:{(312,1),(313,1),(320,1),(381,1)}
       351:{3,4,6,7}:{(313,1),(321,1),(323,1)}
       352:{3,4,5}:{(314,1),(384,1)}
       353:{2,4,6}:{(314,1),(315,1),(325,1),(384,1),(385,1)}
       354:{2,3,5,7}:{(315,1),(316,1),(318,1),(326,1),(385,1),(387,1)}
       355:{3,5,6}:{(317,1),(384,1),(387,1)}
       356:{2,4,5,7}:{(317,1),(318,1),(320,1),(381,1),(385,1),(387,1)}
       357:{2,4,5,6}:{(319,1),(332,1),(386,1),(388,1),(389,1),(393,1),(434,1)}
       358:{1,3,4,5,7}:{(319,1),(320,1),(321,1),(333,1),(382,1),(387,1),(389,1),(394,1),(435,1)}
       359:{1,3,5,6,7}:{(322,1),(323,1),(333,1),(382,1),(390,1)}
       360:{1,2,3,5}:{(327,1),(391,1),(395,1),(436,1)}
       361:{2,4,5}:{(324,1),(329,1),(392,1),(393,1)}
       362:{1,3,4,6}:{(324,1),(325,1),(330,1),(341,1),(384,1),(393,1),(394,1)}
       363:{1,4,7}:{(325,1),(326,1),(342,1),(385,1)}
       364:{1,2,4,6}:{(327,1),(328,1),(334,1),(391,1),(395,1),(399,1)}
       365:{1,3,5}:{(328,1),(329,1),(392,1),(395,1)}
       366:{2,3,5,6}:{(329,1),(330,1),(332,1),(336,1),(393,1),(396,1),(397,1),(405,1),(434,1),(440,1),(451,1)}
       367:{1,3,5,7}:{(330,1),(331,1),(337,1),(344,1),(387,1),(394,1),(397,1),(453,1)}
       368:{1,5,6}:{(332,1),(338,1),(398,1)}
       369:{2,5,7}:{(332,1),(333,1),(339,1),(398,1)}
       370:{1,2,5,7}:{(334,1),(335,1),(395,1),(399,1)}
       371:{1,3,6}:{(335,1),(336,1),(338,1),(399,1)}
       372:{2,3,6,7}:{(336,1),(337,1),(339,1),(397,1),(400,1),(407,1),(450,1)}
       373:{1,4,6,7}:{(338,1),(339,1),(398,1),(400,1),(438,1)}
       374:{1,3,4,5}:{(340,1),(392,1),(402,1),(403,1),(436,1)}
       375:{2,3,4,6}:{(340,1),(341,1),(343,1),(393,1),(403,1),(404,1),(451,1)}
       376:{3,4,7}:{(341,1),(342,1),(344,1)}
       377:{1,3,5,6}:{(343,1),(345,1),(403,1),(405,1),(406,1)}
       378:{2,3,5,7}:{(343,1),(344,1),(346,1),(347,1),(404,1),(406,1)}
       379:{1,4,5,7}:{(345,1),(346,1),(348,1),(398,1),(406,1),(438,1)}
       380:{1,3,6,7}:{(347,1),(348,1),(406,1),(407,1)}
       381:{2,4,6,7}:{(349,1),(350,1),(356,1),(408,1)}
       382:{1,3,4,6,7}:{(350,1),(351,1),(358,1),(359,1),(408,1),(409,1),(442,1)}
       383:{2,3,4,5}:{(352,1),(361,1),(410,1),(411,1),(424,1)}
       384:{3,4,6}:{(352,1),(353,1),(355,1),(412,1)}
       385:{2,4,7}:{(353,1),(354,1),(363,1),(412,1)}
       386:{2,3,5,6}:{(355,1),(357,1),(411,1),(413,1),(414,1)}
       387:{3,5,7}:{(355,1),(356,1),(408,1),(412,1)}
       388:{1,4,5,6}:{(357,1),(368,1),(413,1),(415,1),(419,1)}
       389:{2,4,5,7}:{(357,1),(358,1),(369,1),(409,1),(414,1),(415,1),(420,1),(446,1)}
       390:{2,5,6,7}:{(359,1),(369,1),(409,1),(416,1)}
       391:{1,2,4}:{(360,1),(417,1)}
       392:{1,4,5}:{(361,1),(365,1),(419,1)}
       393:{2,4,6}:{(361,1),(362,1),(366,1),(419,1),(420,1)}
       394:{1,3,4,7}:{(362,1),(363,1),(367,1),(376,1),(412,1),(420,1)}
       395:{1,2,5}:{(364,1),(365,1)}
       396:{1,3,5,6}:{(365,1),(366,1),(368,1),(371,1),(419,1),(421,1),(422,1),(447,1)}
       397:{2,3,5,7}:{(366,1),(367,1),(369,1),(372,1),(420,1),(422,1),(427,1),(446,1),(449,1),(454,1)}
       398:{1,5,7}:{(368,1),(369,1),(373,1)}
       399:{1,2,6}:{(370,1),(371,1)}
       400:{1,3,6,7}:{(371,1),(372,1),(373,1),(422,1),(423,1)}
       401:{2,3,4}:{(417,1),(424,1)}
       402:{2,4,5}:{(374,1),(424,1),(425,1)}
       403:{1,3,4,6}:{(374,1),(375,1),(377,1),(419,1),(425,1),(426,1),(447,1)}
       404:{2,3,4,7}:{(375,1),(376,1),(378,1),(420,1),(426,1),(454,1)}
       405:{2,5,6}:{(377,1),(425,1),(427,1)}
       406:{1,3,5,7}:{(377,1),(378,1),(379,1),(380,1),(426,1),(427,1)}
       407:{2,6,7}:{(380,1),(427,1)}
       408:{3,6,7}:{(381,1),(387,1)}
       409:{2,4,6,7}:{(382,1),(389,1),(390,1),(428,1),(429,1),(450,1)}
       410:{1,3,4,5}:{(383,1),(392,1),(431,1),(432,1),(436,1)}
       411:{2,3,4,6}:{(383,1),(384,1),(386,1),(393,1),(432,1),(433,1),(440,1)}
       412:{3,4,7}:{(384,1),(385,1),(387,1)}
       413:{1,3,5,6}:{(386,1),(388,1),(432,1),(434,1),(435,1)}
       414:{2,3,5,7}:{(386,1),(387,1),(389,1),(428,1),(433,1),(435,1)}
       415:{1,4,5,7}:{(388,1),(389,1),(398,1),(429,1),(435,1),(438,1)}
       416:{1,5,6,7}:{(390,1),(398,1),(429,1)}
       417:{1,3,4}:{(391,1),(401,1),(430,1),(436,1)}
       418:{1,2,4,5}:{(391,1),(392,1),(395,1),(402,1),(431,1),(436,1),(437,1)}
       419:{1,4,6}:{(392,1),(393,1),(396,1),(438,1)}
       420:{2,4,7}:{(393,1),(394,1),(397,1),(438,1)}
       421:{1,2,5,6}:{(395,1),(396,1),(399,1),(405,1),(434,1),(437,1),(439,1)}
       422:{1,3,5,7}:{(396,1),(397,1),(398,1),(400,1),(438,1),(439,1),(453,1)}
       423:{1,2,6,7}:{(399,1),(400,1),(407,1),(439,1),(450,1)}
       424:{2,3,5}:{(401,1),(402,1),(436,1),(440,1)}
       425:{2,4,6}:{(402,1),(403,1),(405,1),(440,1),(441,1)}
       426:{1,3,4,7}:{(403,1),(404,1),(406,1),(438,1),(441,1),(453,1)}
       427:{2,5,7}:{(405,1),(406,1),(407,1),(441,1)}
       428:{2,3,6,7}:{(408,1),(409,1),(414,1),(442,1)}
       429:{1,4,6,7}:{(409,1),(415,1),(416,1),(442,1)}
       430:{2,3,4}:{(417,1),(443,1)}
       431:{2,4,5}:{(410,1),(443,1),(444,1)}
       432:{1,3,4,6}:{(410,1),(411,1),(413,1),(419,1),(444,1),(445,1),(447,1)}
       433:{2,3,4,7}:{(411,1),(412,1),(414,1),(420,1),(445,1),(449,1)}
       434:{2,5,6}:{(413,1),(444,1),(446,1)}
       435:{1,3,5,7}:{(413,1),(414,1),(415,1),(442,1),(445,1),(446,1)}
       436:{1,3,5}:{(417,1),(418,1),(424,1),(443,1),(447,1)}
       437:{1,2,4,6}:{(418,1),(419,1),(421,1),(425,1),(444,1),(447,1),(448,1)}
       438:{1,4,7}:{(419,1),(420,1),(422,1)}
       439:{1,2,5,7}:{(421,1),(422,1),(423,1),(427,1),(446,1),(448,1)}
       440:{2,3,6}:{(424,1),(425,1),(447,1),(449,1)}
       441:{2,4,7}:{(425,1),(426,1),(427,1),(449,1)}
       442:{1,3,6,7}:{(428,1),(429,1),(435,1),(450,1)}
       443:{2,3,5}:{(430,1),(431,1),(436,1),(451,1)}
       444:{2,4,6}:{(431,1),(432,1),(434,1),(451,1),(452,1)}
       445:{1,3,4,7}:{(432,1),(433,1),(435,1),(438,1),(452,1),(453,1)}
       446:{2,5,7}:{(434,1),(435,1),(450,1),(452,1)}
       447:{1,3,6}:{(436,1),(437,1),(440,1),(451,1),(453,1)}
       448:{1,2,4,7}:{(437,1),(438,1),(439,1),(441,1),(452,1),(453,1)}
       449:{2,3,7}:{(440,1),(441,1),(453,1)}
       450:{2,6,7}:{(442,1),(446,1)}
       451:{2,3,6}:{(443,1),(444,1),(447,1),(454,1)}
       452:{2,4,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{1,3,7}:{(447,1),(448,1),(449,1),(454,1)}
       454:{2,3,7}:{(451,1),(452,1),(453,1)}

2339 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2340 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2341 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2342 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2343 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2344 :   0:{2,3,4,5,6}:{(1,1),(2,1),(21,1),(94,1),(143,1),(149,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(12,1),(113,1),(130,1),(131,1),(156,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(36,1),(128,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(132,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(23,1),(106,1),(108,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(55,1),(104,1),(143,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(13,1),(35,1),(66,1),(119,1),(127,1),(130,1)}
         7:{2,3,5,6}:{(3,1),(12,1),(14,1),(15,1),(111,1),(154,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(15,1),(16,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(16,1),(17,1),(39,1),(81,1),(84,1),(156,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(161,1)}
        11:{2,3,4,5,6}:{(19,1),(20,1),(25,1),(59,1),(85,1),(185,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(90,1),(140,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(54,1),(103,1),(106,1)}
        14:{2,3,4,6}:{(7,1),(22,1),(25,1),(26,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(23,1),(26,1),(27,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(167,1)}
        17:{1,3,5,6,7}:{(9,1),(10,1),(28,1),(29,1),(62,1),(172,1)}
        18:{2,4,5,6,7}:{(10,1),(29,1),(30,1),(104,1),(175,1)}
        19:{1,3,4,5,6}:{(11,1),(32,1),(33,1),(37,1),(63,1),(79,1),(183,1),(184,1)}
        20:{2,3,4,5,7}:{(11,1),(33,1),(34,1),(110,1),(179,1)}
        21:{2,3,5,6}:{(12,1),(35,1),(36,1),(74,1),(125,1),(127,1)}
        22:{1,3,4,6}:{(12,1),(14,1),(35,1),(37,1),(38,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(15,1),(36,1),(38,1),(39,1)}
        24:{1,2,4,6,7}:{(13,1),(16,1),(39,1),(40,1),(77,1),(81,1),(119,1)}
        25:{2,3,4,5}:{(14,1),(37,1),(111,1)}
        26:{2,3,4,7}:{(14,1),(15,1),(38,1)}
        27:{2,3,6,7}:{(15,1),(16,1),(39,1),(154,1)}
        28:{2,5,6,7}:{(16,1),(17,1),(178,1)}
        29:{1,4,5,6,7}:{(17,1),(18,1),(44,1),(81,1),(183,1)}
        30:{3,4,5,6,7}:{(18,1),(129,1),(184,1)}
        31:{1,2,3,5,6}:{(21,1),(46,1),(47,1),(85,1),(90,1),(140,1),(142,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(49,1),(53,1),(102,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(49,1),(50,1),(88,1),(173,1),(176,1)}
        34:{2,3,4,6,7}:{(20,1),(50,1),(51,1),(59,1),(134,1),(169,1)}
        35:{2,4,6}:{(21,1),(22,1),(53,1),(54,1)}
        36:{2,3,5,7}:{(21,1),(23,1),(54,1),(55,1),(103,1)}
        37:{1,3,4,5}:{(22,1),(25,1),(53,1),(90,1)}
        38:{1,3,4,7}:{(22,1),(23,1),(26,1),(54,1)}
        39:{1,3,6,7}:{(23,1),(24,1),(27,1),(55,1),(140,1)}
        40:{1,2,5,6,7}:{(24,1),(28,1),(58,1),(103,1),(142,1)}
        41:{2,3,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(60,1),(135,1),(171,1)}
        42:{2,3,4,6,7}:{(26,1),(27,1),(57,1),(59,1),(60,1),(61,1)}
        43:{2,3,5,6,7}:{(27,1),(28,1),(58,1),(60,1),(61,1),(62,1),(170,1)}
        44:{2,4,5,6,7}:{(28,1),(29,1),(61,1),(62,1),(185,1)}
        45:{1,2,4,5,6}:{(32,1),(63,1),(64,1),(66,1),(109,1),(119,1),(178,1),(183,1)}
        46:{1,2,4,6}:{(31,1),(35,1),(65,1),(66,1),(67,1),(109,1)}
        47:{1,2,3,5,7}:{(31,1),(36,1),(67,1),(68,1),(110,1),(117,1),(120,1)}
        48:{2,3,5,6}:{(32,1),(63,1),(69,1),(70,1),(74,1),(125,1)}
        49:{2,4,5,7}:{(32,1),(33,1),(70,1),(71,1)}
        50:{1,3,4,6,7}:{(33,1),(34,1),(71,1),(72,1),(79,1),(115,1),(158,1),(163,1)}
        51:{2,3,5,6,7}:{(34,1),(72,1),(73,1),(82,1)}
        52:{2,3,4,6}:{(35,1),(65,1),(74,1),(75,1),(125,1)}
        53:{2,4,5}:{(35,1),(37,1),(74,1)}
        54:{2,4,7}:{(35,1),(36,1),(38,1)}
        55:{2,3,6,7}:{(36,1),(39,1),(77,1),(125,1)}
        56:{1,3,4,5,7}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(117,1),(160,1),(165,1)}
        57:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(77,1),(79,1),(80,1),(81,1),(129,1)}
        58:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(78,1),(80,1),(81,1),(159,1)}
        59:{2,3,4,6}:{(41,1),(79,1),(82,1),(154,1),(181,1)}
        60:{2,3,5,7}:{(42,1),(80,1),(82,1),(83,1)}
        61:{2,4,6,7}:{(43,1),(81,1),(83,1),(84,1),(181,1)}
        62:{3,5,6,7}:{(44,1),(84,1),(188,1)}
        63:{1,3,5,6}:{(45,1),(48,1),(85,1),(87,1),(88,1),(90,1),(140,1)}
        64:{1,2,4,5,7}:{(45,1),(49,1),(88,1),(89,1),(133,1),(168,1),(173,1)}
        65:{1,3,4,6}:{(46,1),(52,1),(86,1),(90,1),(91,1),(140,1)}
        66:{1,2,4,5}:{(46,1),(53,1),(90,1),(132,1)}
        67:{1,2,4,7}:{(46,1),(47,1),(54,1),(91,1),(133,1)}
        68:{1,2,3,6,7}:{(47,1),(55,1),(93,1),(134,1),(140,1)}
        69:{2,3,4,6}:{(48,1),(87,1),(94,1),(95,1)}
        70:{2,3,5,7}:{(48,1),(49,1),(88,1),(95,1),(96,1)}
        71:{2,4,6,7}:{(49,1),(50,1),(96,1),(97,1),(102,1)}
        72:{1,3,5,6,7}:{(50,1),(51,1),(97,1),(98,1),(105,1),(146,1)}
        73:{2,4,5,6,7}:{(51,1),(98,1),(99,1),(107,1),(169,1)}
        74:{2,3,5}:{(52,1),(53,1),(90,1)}
        75:{2,3,4,7}:{(52,1),(54,1),(91,1),(100,1)}
        76:{2,4,5,7}:{(53,1),(54,1),(56,1),(100,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(54,1),(55,1),(57,1),(102,1),(103,1)}
        78:{2,3,5,6,7}:{(55,1),(58,1),(103,1),(104,1),(147,1),(150,1)}
        79:{1,3,4,6}:{(56,1),(59,1),(102,1),(105,1),(140,1),(174,1),(177,1)}
        80:{1,3,5,7}:{(57,1),(60,1),(103,1),(105,1),(106,1),(150,1)}
        81:{1,4,6,7}:{(58,1),(61,1),(104,1),(106,1),(174,1)}
        82:{2,3,5,6}:{(59,1),(60,1),(105,1),(107,1)}
        83:{2,4,5,7}:{(60,1),(61,1),(106,1),(107,1),(108,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(108,1),(187,1)}
        85:{2,3,5,6}:{(63,1),(109,1),(110,1),(111,1),(154,1),(178,1)}
        86:{2,3,4,6}:{(65,1),(109,1),(111,1),(112,1),(154,1)}
        87:{1,3,4,6}:{(63,1),(69,1),(109,1),(113,1),(114,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(70,1),(110,1),(114,1),(115,1)}
        89:{1,2,4,6,7}:{(64,1),(71,1),(115,1),(116,1),(119,1),(152,1),(158,1)}
        90:{1,3,5}:{(65,1),(66,1),(74,1),(111,1)}
        91:{1,3,4,7}:{(65,1),(67,1),(75,1),(112,1),(117,1)}
        92:{1,2,4,5,7}:{(66,1),(67,1),(76,1),(117,1),(119,1),(120,1),(151,1),(160,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(77,1),(118,1),(119,1),(120,1),(152,1)}
        94:{2,3,4,5}:{(69,1),(74,1),(113,1)}
        95:{2,3,4,7}:{(69,1),(70,1),(114,1)}
        96:{2,3,6,7}:{(70,1),(71,1),(115,1),(125,1)}
        97:{2,5,6,7}:{(71,1),(72,1),(127,1)}
        98:{1,4,5,6,7}:{(72,1),(73,1),(124,1),(130,1),(158,1)}
        99:{3,4,5,6,7}:{(73,1),(131,1),(180,1)}
       100:{2,3,5,7}:{(74,1),(75,1),(76,1),(117,1),(125,1)}
       101:{2,3,4,6,7}:{(75,1),(77,1),(118,1),(125,1),(126,1),(129,1),(164,1)}
       102:{2,4,6}:{(76,1),(79,1),(125,1),(127,1)}
       103:{2,5,7}:{(77,1),(80,1),(127,1)}
       104:{2,4,6,7}:{(78,1),(81,1),(128,1),(129,1),(164,1)}
       105:{1,3,5,6}:{(79,1),(80,1),(82,1),(127,1),(130,1),(166,1)}
       106:{1,4,5,7}:{(80,1),(81,1),(83,1),(128,1),(130,1)}
       107:{2,4,5,6}:{(82,1),(83,1),(130,1),(131,1),(181,1)}
       108:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       109:{2,4,6}:{(85,1),(87,1),(132,1),(133,1)}
       110:{2,3,5,7}:{(85,1),(88,1),(133,1),(134,1),(168,1)}
       111:{2,3,5}:{(86,1),(90,1),(132,1)}
       112:{2,3,4,7}:{(86,1),(91,1),(133,1),(135,1)}
       113:{1,3,4,5}:{(87,1),(90,1),(94,1),(132,1)}
       114:{1,3,4,7}:{(87,1),(88,1),(95,1),(133,1)}
       115:{1,3,6,7}:{(88,1),(89,1),(96,1),(134,1),(140,1)}
       116:{1,2,5,6,7}:{(89,1),(97,1),(139,1),(142,1),(168,1)}
       117:{1,3,5,7}:{(90,1),(91,1),(92,1),(100,1),(135,1),(140,1)}
       118:{1,3,4,6,7}:{(91,1),(93,1),(101,1),(136,1),(140,1),(141,1),(174,1)}
       119:{1,2,4,6}:{(92,1),(102,1),(140,1),(142,1),(167,1),(174,1)}
       120:{1,2,5,7}:{(93,1),(103,1),(141,1),(142,1),(168,1)}
       121:{2,3,4,5,7}:{(94,1),(95,1),(100,1),(137,1),(143,1),(144,1),(148,1)}
       122:{2,3,4,6,7}:{(95,1),(96,1),(138,1),(143,1),(144,1),(145,1)}
       123:{2,3,5,6,7}:{(96,1),(97,1),(139,1),(144,1),(145,1),(146,1),(147,1)}
       124:{2,4,5,6,7}:{(97,1),(98,1),(145,1),(146,1),(149,1)}
       125:{2,3,6}:{(100,1),(102,1),(140,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(141,1),(147,1),(148,1),(150,1)}
       127:{2,5,6}:{(102,1),(103,1),(105,1)}
       128:{2,4,5,7}:{(103,1),(104,1),(106,1),(149,1),(150,1)}
       129:{3,4,6,7}:{(104,1),(150,1),(177,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(107,1),(149,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,4,5}:{(109,1),(111,1),(113,1)}
       133:{2,4,7}:{(109,1),(110,1),(114,1)}
       134:{2,3,6,7}:{(110,1),(115,1),(152,1),(154,1)}
       135:{2,3,5,7}:{(111,1),(112,1),(117,1),(151,1),(154,1)}
       136:{2,3,4,6,7}:{(112,1),(118,1),(152,1),(154,1),(155,1),(180,1),(181,1)}
       137:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(121,1),(151,1),(156,1),(157,1),(160,1),(182,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(152,1),(156,1),(157,1),(158,1),(180,1)}
       139:{1,3,5,6,7}:{(115,1),(116,1),(123,1),(153,1),(157,1),(158,1),(159,1)}
       140:{1,3,6}:{(117,1),(119,1),(125,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(126,1),(155,1),(159,1),(160,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(127,1),(159,1),(178,1)}
       143:{2,3,4,6}:{(121,1),(125,1),(156,1),(161,1),(164,1)}
       144:{2,3,5,7}:{(122,1),(157,1),(161,1),(162,1)}
       145:{2,4,6,7}:{(123,1),(158,1),(162,1),(163,1),(164,1)}
       146:{3,5,6,7}:{(124,1),(163,1),(166,1)}
       147:{2,3,5,6}:{(125,1),(126,1),(127,1),(159,1),(164,1),(166,1)}
       148:{2,4,5,7}:{(126,1),(160,1),(164,1),(165,1)}
       149:{2,4,5,6}:{(127,1),(128,1),(130,1),(164,1),(166,1)}
       150:{3,5,7}:{(128,1),(129,1),(166,1)}
       151:{2,4,5,7}:{(132,1),(133,1),(135,1),(137,1),(167,1),(168,1)}
       152:{2,4,6,7}:{(133,1),(134,1),(138,1),(167,1),(168,1)}
       153:{2,3,5,6,7}:{(134,1),(139,1),(168,1),(169,1),(170,1),(186,1)}
       154:{2,3,6}:{(135,1),(140,1),(167,1)}
       155:{2,3,5,7}:{(136,1),(141,1),(168,1),(170,1),(171,1),(186,1)}
       156:{1,3,4,6}:{(137,1),(140,1),(143,1),(167,1),(172,1),(174,1),(187,1)}
       157:{1,3,5,7}:{(138,1),(144,1),(168,1),(172,1),(173,1),(186,1)}
       158:{1,4,6,7}:{(139,1),(145,1),(169,1),(173,1),(174,1)}
       159:{1,3,5,6}:{(140,1),(141,1),(142,1),(147,1),(170,1),(174,1)}
       160:{1,4,5,7}:{(141,1),(148,1),(171,1),(174,1)}
       161:{2,3,5,6}:{(143,1),(144,1),(172,1),(175,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(173,1),(175,1),(176,1)}
       163:{3,4,6,7}:{(145,1),(146,1),(176,1),(177,1)}
       164:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,5,7}:{(148,1),(150,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6}:{(151,1),(154,1),(156,1),(178,1)}
       168:{2,5,7}:{(152,1),(157,1),(178,1)}
       169:{2,4,6,7}:{(153,1),(158,1),(179,1),(180,1),(181,1)}
       170:{2,3,5,6}:{(154,1),(155,1),(159,1),(178,1),(181,1),(188,1)}
       171:{2,4,5,7}:{(155,1),(160,1),(181,1),(182,1)}
       172:{1,3,5,6}:{(156,1),(157,1),(161,1),(178,1),(183,1),(188,1)}
       173:{1,4,5,7}:{(157,1),(158,1),(162,1),(179,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(164,1),(181,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(164,1),(183,1),(184,1)}
       176:{3,4,5,7}:{(162,1),(163,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{2,5,6}:{(167,1),(168,1),(172,1)}
       179:{2,4,5,7}:{(168,1),(169,1),(173,1),(185,1),(186,1)}
       180:{3,4,6,7}:{(169,1),(186,1),(187,1)}
       181:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       182:{3,4,5,7}:{(171,1),(186,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(175,1),(185,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{2,4,5,6}:{(178,1),(179,1),(181,1),(183,1),(188,1)}
       186:{3,5,7}:{(179,1),(180,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2345 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2346 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(53,1),(55,1),(135,1),(136,1),(231,1),(243,1),(247,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(38,1),(39,1),(87,1),(93,1),(194,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(39,1),(48,1),(88,1),(107,1),(116,1),(187,1),(210,1),(217,1),(296,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(92,1),(189,1),(282,1),(299,1)}
         4:{1,2,3,6}:{(1,1),(17,1),(70,1),(246,1)}
         5:{1,2,4,7}:{(1,1),(17,1),(18,1),(131,1)}
         6:{2,4,5,6,7}:{(14,1),(20,1),(60,1),(72,1),(232,1),(329,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(241,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(340,1)}
         9:{2,3,4,7}:{(18,1),(23,1),(26,1),(132,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(133,1),(168,1),(240,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(70,1),(157,1),(165,1),(338,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(72,1),(135,1),(139,1),(142,1),(243,1),(328,1),(341,1)}
        13:{1,2,3,6,7}:{(4,1),(31,1),(32,1),(93,1),(111,1),(170,1),(198,1),(298,1),(300,1),(360,1)}
        14:{1,4,5,6,7}:{(6,1),(29,1),(33,1),(99,1),(112,1),(179,1),(303,1)}
        15:{1,2,3,5,6}:{(4,1),(31,1),(34,1),(38,1),(87,1),(98,1),(104,1),(108,1),(170,1),(198,1),(203,1),(205,1),(269,1),(288,1),(351,1)}
        16:{1,3,4,5,6}:{(7,1),(35,1),(36,1),(44,1),(82,1),(102,1),(117,1),(172,1),(207,1),(274,1),(301,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(37,1),(38,1)}
        18:{1,3,4,7}:{(5,1),(9,1),(30,1),(37,1),(39,1),(183,1),(210,1)}
        19:{1,2,4,5,7}:{(5,1),(10,1),(38,1),(39,1),(40,1),(91,1),(107,1),(109,1),(184,1),(194,1),(210,1),(289,1),(296,1)}
        20:{3,5,6,7}:{(6,1),(41,1),(283,1),(363,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(189,1)}
        22:{3,4,5,7}:{(7,1),(41,1),(45,1),(293,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(37,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(371,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(373,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(39,1),(46,1),(50,1),(185,1),(291,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(111,1),(112,1),(187,1),(196,1),(210,1),(213,1),(217,1),(372,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(60,1),(128,1),(162,1),(265,1)}
        30:{2,3,4,7}:{(18,1),(54,1),(55,1),(235,1),(243,1)}
        31:{1,2,3,5,7}:{(13,1),(15,1),(56,1),(59,1),(143,1),(158,1),(256,1),(258,1),(333,1),(380,1)}
        32:{1,2,4,6,7}:{(13,1),(17,1),(56,1),(58,1),(59,1),(140,1),(144,1),(220,1),(246,1),(341,1)}
        33:{1,3,5,6,7}:{(14,1),(20,1),(52,1),(57,1),(60,1),(342,1)}
        34:{1,2,4,6}:{(15,1),(56,1),(63,1),(64,1),(131,1),(157,1),(257,1),(379,1)}
        35:{2,4,5,6}:{(16,1),(62,1),(65,1),(66,1),(152,1),(257,1),(340,1)}
        36:{1,3,4,5,7}:{(16,1),(22,1),(57,1),(66,1),(76,1),(124,1),(153,1),(166,1),(225,1),(260,1),(320,1),(342,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(54,1),(67,1),(70,1),(157,1)}
        38:{1,2,5}:{(17,1),(67,1)}
        39:{1,3,5,7}:{(18,1),(19,1),(26,1),(55,1),(67,1),(70,1),(236,1),(333,1)}
        40:{1,2,4,6}:{(19,1),(27,1),(68,1),(70,1),(138,1),(157,1),(246,1),(338,1)}
        41:{3,4,6,7}:{(20,1),(22,1),(72,1)}
        42:{2,3,4,6,7}:{(23,1),(58,1),(73,1),(81,1),(141,1),(163,1),(168,1),(248,1),(264,1),(313,1),(341,1),(385,1),(413,1)}
        43:{2,3,5,6,7}:{(20,1),(25,1),(60,1),(72,1),(74,1),(142,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(157,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(72,1),(76,1),(243,1)}
        46:{2,3,5}:{(23,1),(67,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(394,1)}
        49:{2,3,4,5,7}:{(26,1),(69,1),(77,1),(80,1),(161,1),(168,1),(169,1),(238,1),(247,1),(335,1)}
        50:{2,3,6}:{(26,1),(27,1),(70,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(240,1),(249,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(213,1),(310,1)}
        53:{2,3,4,5}:{(88,1),(89,1),(116,1),(204,1),(273,1),(286,1)}
        54:{2,3,4,6}:{(30,1),(37,1),(90,1),(92,1),(189,1)}
        55:{2,3,5,7}:{(30,1),(39,1),(90,1),(91,1),(92,1),(286,1),(366,1)}
        56:{1,2,4,7}:{(31,1),(34,1),(94,1),(210,1),(307,1),(401,1)}
        57:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(84,1),(96,1),(112,1),(179,1),(196,1),(213,1),(283,1)}
        58:{1,3,4,6,7}:{(32,1),(37,1),(42,1),(85,1),(94,1),(97,1),(111,1),(193,1),(198,1),(200,1),(210,1),(268,1),(297,1),(360,1),(372,1),(401,1)}
        59:{1,2,5,7}:{(32,1),(38,1),(97,1),(98,1),(269,1),(373,1)}
        60:{2,5,6,7}:{(33,1),(96,1),(99,1),(373,1)}
        61:{1,2,3,6}:{(87,1),(93,1),(100,1),(288,1)}
        62:{2,3,5,6}:{(35,1),(89,1),(102,1),(103,1),(117,1),(274,1)}
        63:{1,3,4,6}:{(34,1),(94,1),(101,1),(104,1),(183,1),(198,1),(288,1)}
        64:{1,2,4,5}:{(34,1),(38,1),(104,1),(107,1),(204,1),(269,1),(350,1)}
        65:{1,4,5,6}:{(35,1),(102,1),(106,1),(304,1),(371,1)}
        66:{2,4,5,7}:{(35,1),(36,1),(96,1),(103,1),(106,1),(206,1),(307,1),(373,1)}
        67:{1,3,5}:{(37,1),(38,1),(46,1),(90,1),(107,1)}
        68:{1,2,5,6}:{(38,1),(40,1),(47,1),(108,1),(109,1),(191,1),(371,1)}
        69:{1,3,4,5,7}:{(39,1),(49,1),(91,1),(107,1),(110,1),(188,1),(210,1),(211,1),(287,1),(293,1),(296,1),(368,1)}
        70:{1,3,6}:{(39,1),(40,1),(50,1),(92,1)}
        71:{1,2,4,6,7}:{(40,1),(51,1),(109,1),(111,1),(192,1),(210,1),(289,1),(298,1),(372,1)}
        72:{2,4,6,7}:{(41,1),(43,1),(45,1),(112,1)}
        73:{2,3,5,7}:{(42,1),(46,1),(97,1),(113,1),(114,1),(310,1),(349,1),(373,1)}
        74:{1,3,5,6,7}:{(43,1),(48,1),(99,1),(112,1),(115,1),(196,1),(213,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(112,1),(118,1),(210,1)}
        77:{2,4,5}:{(46,1),(107,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(108,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(110,1),(119,1),(121,1),(212,1),(299,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(111,1),(120,1),(213,1),(291,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(263,1),(411,1)}
        83:{2,3,4,5,7}:{(53,1),(126,1),(127,1),(135,1),(161,1),(223,1),(247,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(54,1),(58,1),(129,1),(139,1),(141,1),(221,1),(233,1),(243,1),(248,1),(326,1),(328,1),(341,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(60,1),(128,1),(130,1),(142,1),(223,1)}
        87:{1,2,3,5}:{(61,1),(131,1),(150,1),(236,1)}
        88:{1,3,4,5}:{(53,1),(133,1),(134,1),(236,1),(254,1)}
        89:{2,3,4,6}:{(53,1),(62,1),(134,1),(135,1),(165,1),(257,1),(319,1),(331,1)}
        90:{2,3,5}:{(54,1),(67,1),(136,1)}
        91:{2,4,5,7}:{(55,1),(69,1),(136,1),(138,1),(243,1),(244,1),(330,1),(391,1)}
        92:{2,3,6}:{(55,1),(70,1),(138,1)}
        93:{1,2,3,7}:{(61,1),(140,1),(333,1)}
        94:{1,3,4,7}:{(56,1),(63,1),(141,1),(143,1),(333,1)}
        95:{1,2,4,5,7}:{(56,1),(59,1),(64,1),(143,1),(144,1),(146,1),(247,1)}
        96:{2,4,6,7}:{(57,1),(60,1),(66,1),(142,1),(145,1),(249,1)}
        97:{1,3,5,7}:{(58,1),(59,1),(67,1),(73,1),(129,1),(146,1),(147,1),(314,1),(394,1)}
        98:{1,2,5,6}:{(59,1),(144,1),(147,1),(246,1),(340,1)}
        99:{1,5,6,7}:{(60,1),(145,1),(394,1)}
       100:{1,2,4,6}:{(61,1),(131,1),(140,1),(149,1),(150,1),(246,1)}
       101:{2,3,4,6}:{(63,1),(132,1),(141,1),(149,1),(151,1),(235,1),(239,1),(248,1),(257,1),(331,1)}
       102:{1,3,5,6}:{(62,1),(65,1),(134,1),(152,1),(153,1)}
       103:{2,3,5,7}:{(62,1),(66,1),(135,1),(142,1),(153,1),(166,1),(320,1)}
       104:{1,3,5}:{(63,1),(64,1),(151,1)}
       105:{1,2,4,5,6}:{(64,1),(65,1),(68,1),(75,1),(144,1),(152,1),(155,1),(156,1),(157,1),(224,1),(237,1),(242,1),(252,1),(257,1),(315,1),(340,1),(344,1),(379,1),(390,1),(412,1)}
       106:{1,4,5,7}:{(65,1),(66,1),(145,1),(153,1),(345,1),(394,1)}
       107:{1,4,5}:{(67,1),(77,1),(136,1),(157,1)}
       108:{1,3,5,6}:{(67,1),(68,1),(70,1),(78,1),(137,1),(157,1),(158,1)}
       109:{1,2,5,7}:{(68,1),(71,1),(79,1),(158,1),(244,1),(394,1)}
       110:{1,3,4,6}:{(69,1),(70,1),(80,1),(138,1),(157,1),(159,1),(241,1),(338,1)}
       111:{1,3,6,7}:{(70,1),(71,1),(81,1),(139,1),(158,1),(333,1)}
       112:{1,4,6,7}:{(72,1),(74,1),(76,1),(162,1)}
       113:{2,4,5,7}:{(73,1),(77,1),(146,1),(161,1),(163,1),(168,1),(377,1),(413,1)}
       114:{2,3,5,6}:{(73,1),(147,1),(163,1),(248,1),(263,1),(340,1)}
       115:{2,5,6,7}:{(74,1),(79,1),(162,1),(249,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(162,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(157,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(158,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(159,1),(167,1),(169,1),(263,1),(340,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(160,1),(168,1),(169,1),(264,1),(267,1),(335,1),(341,1),(393,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(310,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(93,1),(170,1),(174,1),(194,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(88,1),(176,1),(177,1),(187,1),(272,1),(273,1),(277,1),(296,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(212,1),(299,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(90,1),(97,1),(180,1),(181,1),(270,1),(363,1),(373,1)}
       130:{1,3,5,6,7}:{(86,1),(99,1),(179,1),(182,1),(196,1),(272,1),(283,1)}
       131:{1,2,4}:{(87,1),(183,1)}
       132:{2,3,4}:{(183,1),(185,1)}
       133:{2,4,5}:{(88,1),(185,1),(186,1)}
       134:{1,3,4,6}:{(88,1),(89,1),(102,1),(186,1),(187,1),(288,1),(304,1)}
       135:{2,3,4,7}:{(89,1),(103,1),(187,1),(217,1),(307,1),(356,1),(366,1)}
       136:{2,4,5}:{(90,1),(107,1),(188,1),(189,1)}
       137:{2,3,5,6}:{(90,1),(92,1),(108,1),(189,1),(190,1),(191,1),(292,1)}
       138:{2,4,6}:{(91,1),(92,1),(110,1),(191,1)}
       139:{2,3,6,7}:{(92,1),(111,1),(190,1),(192,1),(366,1),(370,1)}
       140:{1,2,4,7}:{(93,1),(100,1),(193,1),(194,1)}
       141:{2,3,4,7}:{(94,1),(101,1),(193,1),(195,1),(291,1),(307,1),(366,1)}
       142:{2,3,6,7}:{(96,1),(103,1),(196,1),(213,1),(283,1)}
       143:{1,3,5,7}:{(94,1),(95,1),(104,1),(195,1),(198,1)}
       144:{1,2,4,6}:{(95,1),(98,1),(198,1),(200,1),(299,1)}
       145:{1,4,6,7}:{(96,1),(99,1),(106,1),(196,1)}
       146:{1,4,5,7}:{(97,1),(107,1),(113,1),(180,1),(200,1),(210,1),(350,1),(401,1)}
       147:{1,3,5,6}:{(97,1),(98,1),(114,1),(181,1),(198,1),(200,1),(297,1),(371,1)}
       148:{1,2,5,6,7}:{(98,1),(99,1),(109,1),(115,1),(182,1),(199,1),(201,1),(295,1),(298,1),(352,1),(373,1),(410,1),(423,1)}
       149:{1,3,4,6}:{(100,1),(101,1),(183,1),(193,1),(202,1),(288,1),(297,1),(304,1)}
       150:{1,2,5}:{(100,1),(202,1)}
       151:{2,3,5}:{(101,1),(104,1),(202,1),(204,1)}
       152:{2,5,6}:{(102,1),(186,1),(206,1)}
       153:{1,3,5,7}:{(102,1),(103,1),(106,1),(187,1),(196,1),(206,1)}
       154:{1,3,4,5}:{(104,1),(107,1),(116,1),(188,1),(204,1),(207,1),(273,1),(350,1),(397,1)}
       155:{1,3,5,6}:{(104,1),(105,1),(117,1),(198,1),(205,1),(207,1),(208,1),(274,1),(288,1),(292,1),(419,1)}
       156:{1,2,4,5,7}:{(105,1),(106,1),(109,1),(118,1),(199,1),(206,1),(208,1),(210,1),(275,1),(289,1),(294,1),(303,1),(307,1),(352,1),(373,1),(375,1),(401,1),(408,1),(421,1)}
       157:{1,4,6}:{(107,1),(108,1),(119,1),(189,1),(210,1)}
       158:{1,3,5,7}:{(108,1),(109,1),(111,1),(120,1),(190,1),(210,1)}
       159:{1,3,5,6}:{(110,1),(121,1),(191,1),(209,1),(211,1),(292,1),(371,1)}
       160:{1,3,4,6,7}:{(110,1),(111,1),(122,1),(192,1),(210,1),(211,1),(293,1),(309,1),(368,1),(370,1),(372,1),(409,1)}
       161:{3,4,5,7}:{(113,1),(116,1),(212,1),(217,1),(310,1),(397,1),(420,1)}
       162:{2,4,6,7}:{(112,1),(115,1),(118,1),(213,1)}
       163:{2,4,6}:{(113,1),(114,1),(200,1),(212,1)}
       164:{2,3,5,6,7}:{(114,1),(115,1),(120,1),(201,1),(213,1),(215,1),(300,1),(310,1),(373,1),(399,1),(423,1),(426,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(213,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(209,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(210,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(211,1),(218,1),(310,1),(373,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(246,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(263,1),(340,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(131,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(132,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(133,1),(228,1),(229,1),(240,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(338,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(135,1),(142,1),(223,1),(230,1),(264,1),(341,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(136,1),(146,1),(231,1),(233,1),(243,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(147,1),(233,1),(248,1),(327,1),(340,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(249,1),(318,1)}
       183:{1,3,4}:{(131,1),(132,1),(235,1),(236,1)}
       184:{1,2,4,5}:{(131,1),(133,1),(150,1),(236,1),(237,1),(254,1),(330,1)}
       185:{2,3,5}:{(132,1),(133,1),(236,1),(239,1)}
       186:{2,4,6}:{(133,1),(134,1),(152,1),(239,1),(240,1)}
       187:{1,3,4,7}:{(134,1),(135,1),(153,1),(240,1),(333,1),(345,1)}
       188:{3,4,5}:{(136,1),(241,1)}
       189:{2,4,6}:{(136,1),(137,1),(157,1),(241,1),(243,1)}
       190:{2,3,5,7}:{(137,1),(139,1),(158,1),(243,1),(244,1),(336,1)}
       191:{2,5,6}:{(138,1),(159,1),(244,1)}
       192:{2,4,6,7}:{(138,1),(139,1),(160,1),(243,1),(244,1),(391,1),(418,1)}
       193:{1,3,4,7}:{(140,1),(141,1),(149,1),(245,1),(333,1),(345,1)}
       194:{1,2,5,7}:{(140,1),(150,1),(245,1),(246,1)}
       195:{2,3,5,7}:{(141,1),(143,1),(151,1),(245,1),(247,1),(248,1)}
       196:{1,3,6,7}:{(142,1),(145,1),(153,1),(249,1)}
       197:{1,3,4,5,7}:{(143,1),(146,1),(154,1),(161,1),(231,1),(247,1),(250,1),(260,1),(342,1)}
       198:{1,3,6}:{(143,1),(144,1),(248,1)}
       199:{1,2,4,6,7}:{(144,1),(145,1),(148,1),(156,1),(162,1),(232,1),(249,1),(251,1),(253,1),(337,1),(341,1),(396,1),(418,1),(425,1)}
       200:{1,4,6}:{(146,1),(147,1),(163,1),(233,1)}
       201:{1,3,5,6,7}:{(147,1),(148,1),(158,1),(164,1),(234,1),(251,1),(253,1),(339,1),(342,1),(380,1),(394,1)}
       202:{1,3,5}:{(149,1),(150,1),(151,1),(254,1)}
       203:{1,2,5,6}:{(150,1),(152,1),(237,1),(246,1),(255,1),(256,1),(390,1)}
       204:{2,4,5}:{(151,1),(154,1),(254,1),(257,1)}
       205:{2,3,5,6}:{(151,1),(152,1),(155,1),(239,1),(248,1),(255,1),(257,1),(258,1),(331,1),(340,1),(390,1)}
       206:{2,5,7}:{(152,1),(153,1),(240,1),(249,1)}
       207:{1,3,4,6}:{(154,1),(155,1),(157,1),(165,1),(241,1),(257,1),(260,1),(319,1),(379,1),(411,1)}
       208:{1,3,5,7}:{(155,1),(156,1),(166,1),(251,1),(258,1),(260,1),(320,1),(333,1),(336,1),(424,1)}
       209:{1,4,5,6}:{(157,1),(159,1),(167,1),(242,1),(261,1)}
       210:{1,4,7}:{(157,1),(158,1),(168,1),(243,1)}
       211:{1,3,5,7}:{(159,1),(160,1),(169,1),(244,1),(261,1),(336,1),(394,1)}
       212:{3,4,6}:{(161,1),(163,1),(263,1)}
       213:{3,6,7}:{(162,1),(166,1)}
       214:{2,4,5,6}:{(163,1),(252,1),(263,1),(265,1),(340,1)}
       215:{2,4,6,7}:{(163,1),(164,1),(168,1),(253,1),(264,1),(265,1),(413,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(263,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(261,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(262,1),(267,1),(348,1),(393,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(371,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(310,1),(373,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(183,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(194,1),(269,1),(277,1),(278,1),(289,1),(296,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(185,1),(270,1),(277,1),(280,1),(291,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(187,1),(196,1),(272,1),(281,1),(283,1),(356,1),(360,1),(372,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(188,1),(273,1),(282,1),(293,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(200,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(190,1),(201,1),(283,1),(285,1),(295,1),(300,1),(354,1),(363,1),(370,1),(373,1)}
       235:{2,3,4}:{(183,1),(286,1)}
       236:{1,3,5}:{(183,1),(184,1),(185,1),(286,1),(288,1)}
       237:{1,2,4,6}:{(184,1),(186,1),(203,1),(288,1),(289,1),(304,1),(365,1)}
       238:{2,3,4,5}:{(185,1),(188,1),(204,1),(287,1),(290,1),(397,1)}
       239:{2,3,6}:{(185,1),(186,1),(288,1),(291,1)}
       240:{2,4,7}:{(186,1),(187,1),(206,1),(291,1)}
       241:{3,4,6}:{(188,1),(189,1),(292,1),(293,1)}
       242:{2,4,5,6}:{(189,1),(191,1),(209,1),(292,1),(294,1)}
       243:{2,4,7}:{(189,1),(190,1),(210,1),(293,1)}
       244:{2,5,7}:{(191,1),(192,1),(211,1)}
       245:{1,3,5,7}:{(193,1),(194,1),(195,1),(202,1),(296,1),(297,1)}
       246:{1,2,6}:{(194,1),(297,1)}
       247:{2,4,5,7}:{(195,1),(197,1),(204,1),(296,1),(299,1),(307,1),(373,1)}
       248:{2,3,6}:{(195,1),(198,1),(297,1),(299,1)}
       249:{2,6,7}:{(196,1),(206,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(200,1),(212,1),(282,1),(299,1),(301,1)}
       251:{1,3,6,7}:{(198,1),(199,1),(208,1),(213,1),(283,1),(300,1),(370,1),(426,1)}
       252:{1,4,5,6}:{(200,1),(214,1),(284,1),(301,1),(303,1),(371,1)}
       253:{1,4,6,7}:{(200,1),(201,1),(210,1),(215,1),(285,1),(303,1),(401,1)}
       254:{1,4,5}:{(202,1),(204,1),(304,1)}
       255:{1,3,5,6}:{(202,1),(203,1),(205,1),(288,1),(297,1),(304,1),(305,1),(371,1)}
       256:{1,2,5,7}:{(203,1),(206,1),(289,1),(298,1),(305,1),(408,1)}
       257:{2,4,6}:{(204,1),(205,1),(207,1),(304,1),(307,1)}
       258:{2,3,5,7}:{(205,1),(206,1),(208,1),(291,1),(300,1),(305,1),(307,1),(366,1),(373,1),(408,1)}
       259:{1,3,4,5,6}:{(207,1),(209,1),(216,1),(292,1),(301,1),(306,1),(308,1),(355,1),(367,1),(400,1),(419,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(210,1),(217,1),(293,1),(307,1),(356,1),(401,1),(420,1)}
       261:{1,4,5,7}:{(209,1),(210,1),(211,1),(218,1),(294,1),(309,1)}
       262:{1,3,5,6,7}:{(211,1),(219,1),(295,1),(309,1),(370,1),(409,1),(410,1)}
       263:{3,5,6}:{(212,1),(214,1),(310,1)}
       264:{3,4,6,7}:{(212,1),(213,1),(215,1),(217,1),(310,1),(420,1),(426,1)}
       265:{2,4,5,7}:{(214,1),(215,1),(303,1),(310,1),(373,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(310,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(309,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(394,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(235,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(236,1),(314,1),(321,1),(323,1),(333,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(246,1),(315,1),(323,1),(338,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(238,1),(247,1),(316,1),(322,1),(325,1),(335,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(240,1),(249,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(252,1),(327,1),(329,1),(340,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(253,1),(328,1),(329,1),(382,1)}
       286:{2,3,5}:{(235,1),(236,1),(330,1),(331,1)}
       287:{1,3,4,5}:{(236,1),(238,1),(254,1),(330,1),(332,1)}
       288:{1,3,6}:{(236,1),(237,1),(239,1),(331,1),(333,1)}
       289:{1,2,4,7}:{(237,1),(240,1),(256,1),(333,1),(345,1),(391,1)}
       290:{2,3,4,6}:{(238,1),(239,1),(241,1),(257,1),(332,1),(334,1),(335,1),(411,1)}
       291:{2,3,7}:{(239,1),(240,1),(333,1)}
       292:{3,5,6}:{(241,1),(242,1),(336,1)}
       293:{3,4,7}:{(241,1),(243,1),(336,1)}
       294:{2,4,5,7}:{(242,1),(243,1),(244,1),(261,1),(336,1),(337,1)}
       295:{2,5,6,7}:{(244,1),(262,1),(337,1),(418,1)}
       296:{1,4,5,7}:{(245,1),(247,1),(254,1),(338,1),(345,1),(394,1)}
       297:{1,3,6}:{(245,1),(246,1),(248,1),(338,1)}
       298:{1,2,6,7}:{(246,1),(249,1),(256,1),(339,1),(418,1)}
       299:{2,4,6}:{(247,1),(248,1),(250,1),(338,1),(340,1)}
       300:{2,3,6,7}:{(248,1),(249,1),(251,1),(258,1),(339,1),(341,1),(418,1)}
       301:{1,3,5,6}:{(250,1),(252,1),(263,1),(327,1),(340,1),(342,1)}
       302:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(260,1),(264,1),(328,1),(341,1),(342,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(265,1),(329,1),(342,1),(394,1)}
       304:{1,4,6}:{(254,1),(255,1),(257,1),(345,1)}
       305:{1,3,5,7}:{(255,1),(256,1),(258,1),(333,1),(339,1),(345,1),(394,1)}
       306:{2,4,5,6}:{(257,1),(259,1),(334,1),(340,1),(344,1),(346,1),(390,1)}
       307:{2,4,7}:{(257,1),(258,1),(260,1),(345,1)}
       308:{1,3,4,5,7}:{(259,1),(260,1),(261,1),(266,1),(336,1),(342,1),(346,1),(347,1),(383,1),(392,1),(414,1),(424,1)}
       309:{1,4,6,7}:{(261,1),(262,1),(267,1),(337,1)}
       310:{3,5,7}:{(263,1),(264,1),(265,1)}
       311:{2,4,5,6,7}:{(265,1),(267,1),(343,1),(348,1),(395,1),(425,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(348,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(371,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(286,1),(349,1),(357,1),(358,1),(366,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(287,1),(296,1),(350,1),(357,1),(359,1),(368,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(289,1),(298,1),(352,1),(360,1),(372,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(299,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(291,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(293,1),(356,1),(363,1),(370,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(303,1),(363,1),(373,1)}
       330:{2,4,5}:{(286,1),(287,1),(365,1)}
       331:{2,3,6}:{(286,1),(288,1),(365,1),(366,1)}
       332:{1,3,4,6}:{(287,1),(288,1),(290,1),(304,1),(365,1),(367,1),(368,1)}
       333:{1,3,7}:{(288,1),(289,1),(291,1),(366,1)}
       334:{2,3,5,6}:{(290,1),(292,1),(306,1),(367,1),(369,1),(419,1)}
       335:{2,3,4,7}:{(290,1),(291,1),(293,1),(307,1),(368,1),(369,1),(420,1)}
       336:{3,5,7}:{(292,1),(293,1),(294,1),(370,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(309,1),(370,1)}
       338:{1,4,6}:{(296,1),(297,1),(299,1),(371,1)}
       339:{1,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(372,1)}
       340:{2,5,6}:{(299,1),(301,1),(371,1),(373,1)}
       341:{2,4,6,7}:{(299,1),(300,1),(302,1),(307,1),(372,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(303,1),(310,1),(363,1),(373,1)}
       343:{1,4,5,6,7}:{(303,1),(309,1),(311,1),(364,1),(374,1),(410,1),(422,1)}
       344:{1,4,5,6}:{(304,1),(306,1),(367,1),(371,1),(375,1)}
       345:{1,4,7}:{(304,1),(305,1),(307,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(308,1),(369,1),(373,1),(375,1),(376,1),(408,1)}
       347:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(370,1),(374,1),(376,1),(403,1),(409,1),(422,1),(426,1)}
       348:{3,5,6,7}:{(310,1),(311,1),(312,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(394,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(330,1),(377,1),(384,1),(391,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(338,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(333,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(340,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(335,1),(341,1),(382,1),(387,1),(388,1),(393,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(337,1),(343,1),(389,1),(395,1),(415,1)}
       365:{2,4,6}:{(330,1),(331,1),(332,1),(390,1),(391,1)}
       366:{2,3,7}:{(331,1),(333,1),(391,1)}
       367:{1,3,5,6}:{(332,1),(334,1),(344,1),(390,1),(392,1)}
       368:{1,3,4,7}:{(332,1),(333,1),(335,1),(345,1),(391,1),(392,1)}
       369:{2,3,5,7}:{(334,1),(335,1),(336,1),(346,1),(392,1),(393,1),(424,1)}
       370:{3,6,7}:{(336,1),(337,1)}
       371:{1,5,6}:{(338,1),(340,1),(394,1)}
       372:{1,4,6,7}:{(338,1),(339,1),(341,1),(345,1),(394,1)}
       373:{2,5,7}:{(340,1),(341,1),(342,1),(394,1)}
       374:{1,3,5,6,7}:{(342,1),(343,1),(347,1),(348,1),(389,1),(395,1)}
       375:{1,4,5,7}:{(344,1),(345,1),(346,1),(392,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(393,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(366,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(371,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(368,1),(372,1),(401,1),(405,1),(406,1),(409,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(373,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(370,1),(403,1)}
       390:{2,5,6}:{(365,1),(367,1),(408,1)}
       391:{2,4,7}:{(365,1),(366,1),(368,1),(408,1)}
       392:{1,3,5,7}:{(367,1),(368,1),(369,1),(375,1),(408,1),(409,1)}
       393:{2,3,6,7}:{(369,1),(370,1),(376,1),(409,1),(426,1)}
       394:{1,5,7}:{(371,1),(372,1),(373,1)}
       395:{2,5,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(409,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(391,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(394,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(393,1),(395,1),(415,1),(417,1)}
       408:{2,5,7}:{(390,1),(391,1),(392,1),(418,1)}
       409:{1,3,6,7}:{(392,1),(393,1),(396,1),(418,1)}
       410:{1,5,6,7}:{(394,1),(395,1),(396,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(408,1),(409,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2347 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(162,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(96,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(11,1),(12,1),(119,1),(154,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(12,1),(153,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(13,1),(34,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(15,1),(16,1),(42,1),(46,1),(76,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(90,1),(119,1)}
         7:{1,2,3,6}:{(4,1),(18,1),(19,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(21,1),(22,1)}
         9:{4,5,6,7}:{(23,1),(172,1)}
        10:{3,4,6,7}:{(3,1),(23,1),(24,1)}
        11:{1,4,5,6}:{(2,1),(21,1),(25,1),(26,1),(101,1),(142,1)}
        12:{2,4,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1),(141,1),(165,1)}
        13:{1,2,4}:{(4,1),(27,1)}
        14:{2,3,4}:{(27,1),(29,1)}
        15:{2,4,5}:{(5,1),(29,1),(30,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(21,1),(30,1),(31,1),(64,1),(68,1),(101,1)}
        17:{2,3,4,7}:{(6,1),(22,1),(31,1),(112,1),(141,1)}
        18:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        19:{1,2,4,6}:{(7,1),(13,1),(32,1),(33,1),(34,1),(75,1)}
        20:{2,3,4,6}:{(14,1),(33,1),(35,1),(37,1),(49,1),(80,1),(82,1)}
        21:{1,3,5,6}:{(8,1),(11,1),(16,1),(38,1),(39,1),(43,1)}
        22:{2,3,5,7}:{(8,1),(12,1),(17,1),(36,1),(39,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(40,1),(169,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(36,1),(40,1),(41,1)}
        25:{2,4,5,6}:{(11,1),(38,1),(43,1),(44,1),(82,1),(125,1),(128,1)}
        26:{1,4,5,7}:{(11,1),(12,1),(39,1),(41,1),(44,1),(124,1),(157,1)}
        27:{1,3,4}:{(13,1),(14,1),(45,1),(46,1)}
        28:{1,2,4,5}:{(13,1),(15,1),(34,1),(46,1),(47,1),(76,1),(89,1)}
        29:{2,3,5}:{(14,1),(15,1),(46,1),(49,1)}
        30:{2,4,6}:{(15,1),(16,1),(38,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(16,1),(17,1),(39,1),(50,1),(88,1),(92,1),(124,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(27,1),(51,1),(52,1),(54,1),(68,1),(99,1),(101,1)}
        34:{1,2,5}:{(19,1),(54,1)}
        35:{2,3,4,7}:{(20,1),(52,1),(56,1),(71,1),(106,1)}
        36:{2,3,6,7}:{(22,1),(24,1),(57,1)}
        37:{2,3,5}:{(20,1),(54,1),(58,1)}
        38:{2,5,6}:{(21,1),(30,1),(60,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(26,1),(31,1),(57,1),(60,1),(65,1)}
        40:{2,5,6,7}:{(23,1),(24,1),(61,1),(165,1)}
        41:{1,4,6,7}:{(24,1),(26,1),(57,1),(61,1),(63,1)}
        42:{3,4,5}:{(58,1),(64,1)}
        43:{3,5,6}:{(25,1),(64,1),(65,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(60,1),(63,1),(65,1),(106,1),(145,1),(147,1)}
        45:{2,3,4}:{(27,1),(66,1)}
        46:{1,3,5}:{(27,1),(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(28,1),(30,1),(55,1),(68,1),(69,1),(101,1),(111,1)}
        48:{2,3,4,5}:{(29,1),(58,1),(67,1),(70,1)}
        49:{2,3,6}:{(29,1),(30,1),(68,1),(71,1)}
        50:{2,4,7}:{(30,1),(31,1),(60,1),(71,1)}
        51:{2,3,4,6}:{(33,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(92,1),(124,1)}
        53:{1,2,5,7}:{(32,1),(34,1),(74,1),(75,1)}
        54:{1,3,5}:{(33,1),(34,1),(37,1),(73,1),(76,1)}
        55:{1,2,5,6}:{(34,1),(38,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        56:{2,3,5,7}:{(35,1),(37,1),(74,1),(79,1),(80,1)}
        57:{1,3,6,7}:{(36,1),(39,1),(41,1),(81,1),(86,1)}
        58:{2,4,5}:{(37,1),(42,1),(76,1),(82,1)}
        59:{2,3,5,6}:{(37,1),(38,1),(43,1),(49,1),(77,1),(80,1),(82,1),(83,1),(125,1)}
        60:{2,5,7}:{(38,1),(39,1),(50,1),(81,1)}
        61:{1,5,6,7}:{(40,1),(41,1),(84,1),(157,1)}
        62:{3,4,5,7}:{(42,1),(79,1),(85,1),(88,1),(130,1)}
        63:{2,4,6,7}:{(41,1),(44,1),(81,1),(84,1),(86,1),(129,1)}
        64:{3,4,6}:{(42,1),(43,1),(82,1),(88,1)}
        65:{3,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(76,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(124,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(82,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(95,1),(112,1),(141,1)}
        73:{2,3,5}:{(51,1),(54,1),(96,1)}
        74:{1,3,5,7}:{(52,1),(53,1),(54,1),(56,1),(95,1),(98,1),(99,1)}
        75:{1,2,6}:{(53,1),(99,1)}
        76:{1,4,5}:{(54,1),(58,1),(96,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(59,1),(68,1),(97,1),(99,1),(101,1),(102,1),(142,1)}
        78:{1,2,5,7}:{(55,1),(60,1),(69,1),(100,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(58,1),(62,1),(98,1),(103,1),(106,1),(145,1)}
        80:{2,3,6}:{(56,1),(99,1),(103,1)}
        81:{2,6,7}:{(57,1),(60,1)}
        82:{2,4,6}:{(58,1),(59,1),(64,1),(101,1),(106,1)}
        83:{2,3,5,7}:{(59,1),(60,1),(65,1),(71,1),(102,1),(104,1),(106,1),(145,1)}
        84:{2,5,6,7}:{(61,1),(63,1),(107,1),(145,1)}
        85:{3,4,6}:{(62,1),(103,1),(108,1)}
        86:{3,6,7}:{(63,1),(65,1)}
        87:{3,4,5,6}:{(64,1),(105,1),(108,1),(110,1)}
        88:{3,4,7}:{(64,1),(65,1),(106,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(101,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(105,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(106,1),(114,1),(115,1)}
        95:{2,3,5,7}:{(72,1),(73,1),(74,1),(117,1),(118,1)}
        96:{2,4,5}:{(73,1),(76,1),(116,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(77,1),(90,1),(118,1),(119,1),(120,1),(132,1),(152,1),(154,1)}
        98:{1,4,5,7}:{(74,1),(76,1),(79,1),(117,1),(121,1),(124,1),(157,1)}
        99:{1,3,6}:{(74,1),(75,1),(80,1),(118,1),(121,1)}
       100:{1,2,6,7}:{(75,1),(78,1),(81,1),(122,1),(161,1)}
       101:{1,4,6}:{(76,1),(77,1),(82,1),(119,1),(124,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(83,1),(92,1),(120,1),(122,1),(124,1),(157,1)}
       103:{2,4,6}:{(79,1),(80,1),(85,1),(121,1),(125,1)}
       104:{2,3,6,7}:{(80,1),(81,1),(83,1),(86,1),(122,1),(126,1)}
       105:{2,4,5,6}:{(82,1),(87,1),(93,1),(123,1),(125,1),(127,1)}
       106:{2,4,7}:{(82,1),(83,1),(88,1),(124,1)}
       107:{3,5,6,7}:{(84,1),(86,1),(129,1),(130,1)}
       108:{3,5,6}:{(85,1),(125,1),(128,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(88,1),(126,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(87,1),(88,1),(127,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(123,1),(132,1),(134,1),(152,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(124,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(127,1),(134,1),(135,1)}
       116:{3,4,5}:{(96,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(138,1),(141,1),(165,1)}
       118:{2,3,6}:{(95,1),(99,1),(138,1)}
       119:{2,4,6}:{(96,1),(97,1),(101,1),(137,1),(141,1)}
       120:{2,3,5,7}:{(97,1),(102,1),(112,1),(139,1),(141,1),(149,1),(164,1),(165,1)}
       121:{1,4,6}:{(98,1),(99,1),(103,1),(138,1),(142,1)}
       122:{1,3,6,7}:{(99,1),(100,1),(102,1),(104,1),(139,1),(143,1)}
       123:{1,4,5,6}:{(101,1),(105,1),(113,1),(140,1),(142,1),(144,1)}
       124:{1,4,7}:{(101,1),(102,1),(106,1),(141,1)}
       125:{2,5,6}:{(103,1),(108,1),(142,1),(145,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(106,1),(109,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(105,1),(106,1),(110,1),(115,1),(144,1),(145,1),(146,1)}
       128:{4,5,6}:{(108,1),(147,1)}
       129:{4,6,7}:{(107,1),(147,1)}
       130:{3,5,7}:{(108,1),(109,1),(145,1),(147,1)}
       131:{3,4,6,7}:{(110,1),(146,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(144,1),(149,1),(150,1),(164,1)}
       135:{2,3,6,7}:{(115,1),(146,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(151,1),(153,1),(169,1)}
       137:{3,4,6}:{(116,1),(119,1),(152,1),(153,1)}
       138:{2,4,6}:{(117,1),(118,1),(121,1),(151,1),(154,1)}
       139:{2,3,6,7}:{(118,1),(120,1),(122,1),(155,1),(161,1),(170,1)}
       140:{2,4,5,6}:{(119,1),(123,1),(132,1),(152,1),(154,1),(156,1),(168,1)}
       141:{2,4,7}:{(119,1),(120,1),(124,1),(153,1)}
       142:{1,5,6}:{(121,1),(125,1),(154,1),(157,1)}
       143:{1,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(155,1),(157,1)}
       144:{1,4,5,7}:{(123,1),(124,1),(127,1),(134,1),(156,1),(157,1),(158,1)}
       145:{2,5,7}:{(125,1),(126,1),(130,1),(157,1)}
       146:{2,4,6,7}:{(127,1),(131,1),(135,1),(158,1),(159,1)}
       147:{4,5,7}:{(128,1),(129,1),(130,1)}
       148:{3,5,6,7}:{(130,1),(131,1),(159,1),(160,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(158,1),(161,1),(170,1)}
       151:{3,4,6}:{(136,1),(138,1),(162,1)}
       152:{3,5,6}:{(137,1),(140,1),(164,1)}
       153:{3,4,7}:{(137,1),(141,1),(164,1)}
       154:{2,5,6}:{(138,1),(142,1),(162,1),(165,1)}
       155:{2,4,6,7}:{(138,1),(139,1),(141,1),(143,1),(163,1),(165,1)}
       156:{2,4,5,7}:{(140,1),(141,1),(144,1),(149,1),(164,1),(165,1),(166,1),(172,1)}
       157:{1,5,7}:{(142,1),(143,1),(145,1),(165,1)}
       158:{1,4,6,7}:{(144,1),(146,1),(150,1),(166,1),(167,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,6}:{(151,1),(154,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(151,1),(153,1),(155,1),(169,1),(170,1),(174,1)}
       164:{3,5,7}:{(152,1),(153,1),(156,1),(170,1)}
       165:{2,5,7}:{(154,1),(155,1),(157,1),(169,1)}
       166:{2,4,6,7}:{(156,1),(158,1),(161,1),(170,1),(171,1),(174,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(165,1),(172,1)}
       170:{3,6,7}:{(164,1),(166,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2348 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(100,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(46,1),(102,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(11,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(87,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(10,1),(13,1),(14,1),(61,1),(87,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(34,1),(60,1),(89,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,3,5,6}:{(5,1),(6,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(20,1),(101,1),(116,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(73,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(23,1),(77,1),(101,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(19,1),(23,1),(24,1),(45,1),(48,1),(73,1)}
        15:{2,4,5}:{(7,1),(24,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(14,1),(29,1),(30,1),(32,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(27,1),(29,1),(31,1),(88,1),(108,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(58,1),(85,1),(109,1)}
        22:{1,2,4,5}:{(15,1),(33,1),(34,1),(62,1),(89,1),(93,1)}
        23:{1,3,4,7}:{(13,1),(14,1),(29,1),(35,1),(59,1),(63,1),(88,1)}
        24:{2,4,6}:{(14,1),(15,1),(30,1),(35,1),(36,1)}
        25:{2,3,5}:{(15,1),(34,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(20,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(23,1),(38,1),(42,1),(44,1)}
        30:{2,5,6}:{(19,1),(24,1),(42,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(39,1),(42,1),(44,1),(70,1),(74,1),(98,1)}
        32:{3,5,6}:{(21,1),(44,1),(45,1)}
        33:{1,2,4,6}:{(22,1),(24,1),(41,1),(47,1),(48,1),(73,1),(78,1)}
        34:{1,3,5}:{(22,1),(25,1),(46,1),(48,1),(49,1)}
        35:{2,4,7}:{(23,1),(24,1),(42,1),(50,1)}
        36:{2,3,6}:{(24,1),(25,1),(48,1),(50,1)}
        37:{2,3,4}:{(25,1),(49,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{1,2,5,6}:{(30,1),(33,1),(55,1),(56,1),(93,1),(114,1)}
        42:{2,5,7}:{(29,1),(30,1),(35,1),(52,1)}
        43:{2,3,5,6}:{(30,1),(32,1),(36,1),(56,1),(57,1),(58,1),(66,1),(95,1),(109,1)}
        44:{3,5,7}:{(31,1),(32,1),(53,1),(59,1)}
        45:{3,4,6}:{(32,1),(58,1),(59,1),(60,1)}
        46:{2,3,5}:{(34,1),(61,1),(62,1),(93,1)}
        47:{1,2,4,7}:{(33,1),(35,1),(55,1),(63,1),(88,1),(92,1)}
        48:{1,3,6}:{(33,1),(34,1),(36,1),(61,1),(63,1)}
        49:{1,3,4}:{(34,1),(37,1),(62,1)}
        50:{2,3,7}:{(35,1),(36,1),(63,1)}
        51:{2,3,4,6}:{(36,1),(37,1),(58,1),(64,1),(65,1),(66,1),(95,1)}
        52:{2,6,7}:{(38,1),(42,1)}
        53:{3,6,7}:{(39,1),(44,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(47,1),(67,1),(72,1),(105,1)}
        56:{1,3,5,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(80,1),(106,1),(117,1)}
        57:{2,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(68,1),(72,1),(74,1),(98,1)}
        58:{2,4,6}:{(43,1),(45,1),(73,1),(74,1),(75,1)}
        59:{3,4,7}:{(44,1),(45,1),(74,1)}
        60:{3,4,5}:{(45,1),(75,1)}
        61:{2,3,6}:{(46,1),(48,1),(77,1),(78,1)}
        62:{2,4}:{(46,1),(49,1)}
        63:{1,3,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(73,1),(78,1),(79,1),(80,1),(100,1),(106,1)}
        65:{2,3,4,7}:{(50,1),(51,1),(74,1),(79,1),(81,1)}
        66:{2,3,5}:{(51,1),(75,1),(80,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(57,1),(82,1),(83,1),(95,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(59,1),(83,1),(84,1),(91,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(61,1),(86,1),(87,1),(93,1),(111,1),(114,1),(121,1),(122,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(63,1),(82,1),(86,1),(88,1),(108,1)}
        73:{1,4,6}:{(56,1),(58,1),(87,1),(88,1),(89,1)}
        74:{2,4,7}:{(57,1),(58,1),(59,1),(88,1)}
        75:{2,4,5}:{(58,1),(60,1),(66,1),(89,1)}
        76:{3,4,5,7}:{(59,1),(60,1),(84,1),(90,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{2,4,6}:{(61,1),(62,1),(64,1),(92,1),(93,1),(114,1)}
        79:{1,3,4,7}:{(63,1),(64,1),(65,1),(88,1),(92,1),(94,1),(110,1)}
        80:{1,3,5}:{(64,1),(66,1),(89,1),(93,1),(111,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(90,1),(94,1),(95,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(72,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(74,1),(97,1),(98,1),(104,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1),(101,1),(105,1),(116,1),(118,1)}
        87:{2,4,6}:{(71,1),(73,1),(100,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(74,1),(101,1)}
        89:{1,4,5}:{(73,1),(75,1),(80,1),(102,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(76,1),(81,1),(98,1),(103,1),(104,1)}
        91:{3,4,6}:{(76,1),(99,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(79,1),(105,1)}
        93:{2,5}:{(78,1),(80,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(81,1),(103,1),(105,1),(106,1),(118,1)}
        95:{2,3,6}:{(81,1),(104,1),(106,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(88,1),(107,1),(108,1),(113,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(91,1),(109,1)}
       100:{3,4,6}:{(87,1),(110,1),(111,1),(122,1)}
       101:{2,4,7}:{(86,1),(87,1),(88,1),(110,1)}
       102:{2,4,5}:{(87,1),(89,1),(93,1),(111,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(90,1),(94,1),(108,1),(112,1),(113,1)}
       104:{2,4,6}:{(90,1),(91,1),(95,1),(109,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(94,1),(114,1)}
       106:{1,3,6}:{(94,1),(95,1),(113,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(101,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(104,1),(117,1)}
       110:{3,4,7}:{(100,1),(101,1),(118,1)}
       111:{3,5}:{(100,1),(102,1)}
       112:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       113:{1,4,6}:{(103,1),(104,1),(106,1),(117,1),(119,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(113,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(112,1),(122,1)}
       119:{2,4,6}:{(112,1),(113,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2349 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(100,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(39,1),(80,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(9,1),(11,1),(30,1),(85,1),(107,1),(112,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(46,1),(85,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(46,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(96,1),(137,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(18,1),(19,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(20,1),(21,1),(24,1),(49,1),(63,1),(90,1),(96,1)}
         8:{2,3,4,7}:{(1,1),(19,1),(21,1),(62,1),(101,1)}
         9:{2,4,5}:{(2,1),(20,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(20,1),(23,1),(24,1),(25,1),(63,1)}
        11:{1,3,5}:{(3,1),(22,1),(24,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(24,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(73,1),(107,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(73,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(33,1),(34,1),(80,1),(135,1)}
        17:{3,4,5,7}:{(5,1),(34,1),(35,1),(113,1),(133,1)}
        18:{1,3,5,6}:{(6,1),(7,1),(33,1),(36,1),(37,1),(75,1)}
        19:{2,3,5,7}:{(6,1),(8,1),(34,1),(37,1),(38,1)}
        20:{2,4,6}:{(7,1),(9,1),(36,1),(39,1),(40,1)}
        21:{1,3,4,7}:{(7,1),(8,1),(37,1),(40,1),(45,1),(72,1),(86,1),(108,1),(113,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(39,1),(41,1)}
        23:{1,2,5,6}:{(10,1),(36,1),(42,1),(43,1),(46,1),(89,1)}
        24:{1,3,6}:{(10,1),(11,1),(39,1),(45,1)}
        25:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        26:{1,3,4}:{(11,1),(13,1),(41,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(44,1),(46,1),(47,1),(89,1)}
        28:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        29:{1,2,4,6}:{(14,1),(20,1),(48,1),(49,1),(50,1),(90,1)}
        30:{1,3,5}:{(14,1),(22,1),(49,1),(51,1)}
        31:{1,2,3,6}:{(15,1),(49,1),(52,1),(53,1)}
        32:{1,2,4}:{(15,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(18,1),(54,1),(55,1),(63,1),(90,1),(129,1),(136,1)}
        34:{2,4,5,7}:{(16,1),(17,1),(19,1),(55,1),(56,1),(101,1),(128,1)}
        35:{3,4,6,7}:{(17,1),(56,1),(57,1)}
        36:{2,5,6}:{(18,1),(20,1),(59,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(55,1),(59,1),(60,1),(97,1)}
        38:{2,3,6,7}:{(19,1),(56,1),(60,1)}
        39:{2,3,6}:{(20,1),(22,1),(24,1),(49,1),(62,1)}
        40:{2,4,7}:{(20,1),(21,1),(59,1),(62,1)}
        41:{2,3,4}:{(22,1),(26,1),(51,1)}
        42:{1,3,5,6}:{(23,1),(24,1),(58,1),(63,1),(64,1),(66,1),(106,1),(129,1)}
        43:{1,2,5,7}:{(23,1),(25,1),(59,1),(64,1),(65,1)}
        44:{1,3,4,6}:{(24,1),(26,1),(27,1),(61,1),(63,1),(66,1),(67,1),(106,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,2,5}:{(27,1),(66,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(68,1)}
        48:{1,2,5,6}:{(29,1),(36,1),(69,1),(70,1),(73,1),(111,1)}
        49:{1,3,6}:{(29,1),(30,1),(39,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,4}:{(30,1),(32,1),(41,1)}
        52:{1,2,4,6}:{(31,1),(32,1),(71,1),(73,1),(74,1),(111,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{2,4,5,6}:{(33,1),(36,1),(75,1),(76,1),(80,1),(135,1),(139,1)}
        55:{1,4,5,7}:{(33,1),(34,1),(37,1),(76,1),(77,1),(86,1),(108,1),(120,1),(131,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(38,1),(77,1),(78,1)}
        57:{3,5,6,7}:{(35,1),(78,1),(79,1),(133,1)}
        58:{2,3,5,6}:{(36,1),(39,1),(42,1),(69,1),(75,1),(80,1),(81,1),(83,1),(118,1),(135,1)}
        59:{2,5,7}:{(36,1),(37,1),(40,1),(82,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(77,1),(82,1),(114,1)}
        61:{2,3,4,6}:{(39,1),(41,1),(44,1),(71,1),(80,1),(83,1),(84,1),(118,1)}
        62:{2,3,7}:{(39,1),(40,1),(45,1),(72,1)}
        63:{1,4,6}:{(42,1),(80,1),(85,1),(86,1)}
        64:{1,3,5,7}:{(42,1),(43,1),(45,1),(81,1),(86,1),(87,1),(120,1)}
        65:{1,2,6,7}:{(43,1),(82,1),(87,1),(89,1)}
        66:{1,3,5}:{(44,1),(46,1),(83,1),(85,1)}
        67:{1,3,4,7}:{(44,1),(45,1),(47,1),(84,1),(86,1),(88,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(88,1),(89,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(58,1),(90,1),(91,1),(93,1),(123,1),(136,1)}
        70:{1,2,5,7}:{(48,1),(50,1),(59,1),(91,1),(92,1)}
        71:{1,3,4,6}:{(49,1),(51,1),(52,1),(61,1),(90,1),(93,1),(94,1),(123,1)}
        72:{1,3,7}:{(49,1),(50,1),(62,1)}
        73:{1,2,5}:{(52,1),(93,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(94,1),(95,1)}
        75:{3,5,6}:{(54,1),(96,1),(97,1)}
        76:{2,4,5,7}:{(54,1),(55,1),(59,1),(97,1),(98,1),(101,1),(128,1),(138,1)}
        77:{1,4,6,7}:{(55,1),(56,1),(60,1),(98,1),(99,1)}
        78:{2,5,6,7}:{(56,1),(57,1),(99,1),(128,1)}
        79:{4,5,6,7}:{(57,1),(138,1)}
        80:{2,4,6}:{(58,1),(63,1),(90,1),(96,1),(100,1),(101,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(62,1),(64,1),(91,1),(97,1),(101,1),(102,1),(128,1)}
        82:{2,6,7}:{(59,1),(60,1)}
        83:{2,3,5}:{(61,1),(66,1),(93,1),(100,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(67,1),(94,1),(101,1),(103,1)}
        85:{1,4,5}:{(63,1),(66,1),(100,1)}
        86:{1,4,7}:{(63,1),(64,1),(101,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(102,1),(105,1),(106,1)}
        88:{1,3,5,7}:{(66,1),(67,1),(68,1),(103,1),(104,1),(106,1)}
        89:{1,2,6}:{(68,1),(106,1)}
        90:{1,4,6}:{(69,1),(80,1),(107,1),(108,1)}
        91:{1,3,5,7}:{(69,1),(70,1),(72,1),(81,1),(108,1),(109,1),(131,1)}
        92:{1,2,6,7}:{(70,1),(82,1),(109,1),(111,1)}
        93:{1,3,5}:{(71,1),(73,1),(83,1),(107,1)}
        94:{1,3,4,7}:{(71,1),(72,1),(74,1),(84,1),(108,1),(110,1)}
        95:{1,2,5,7}:{(73,1),(74,1),(110,1),(111,1)}
        96:{3,4,6}:{(75,1),(80,1),(112,1),(113,1)}
        97:{3,5,7}:{(75,1),(76,1),(113,1),(114,1)}
        98:{2,4,6,7}:{(76,1),(77,1),(82,1),(114,1),(115,1),(134,1)}
        99:{1,5,6,7}:{(77,1),(78,1),(115,1),(120,1),(131,1)}
       100:{2,4,5}:{(80,1),(83,1),(85,1),(107,1),(112,1)}
       101:{2,4,7}:{(80,1),(81,1),(86,1),(108,1),(113,1)}
       102:{2,3,6,7}:{(81,1),(82,1),(87,1),(109,1),(114,1),(117,1),(118,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(85,1),(86,1),(88,1),(116,1),(119,1),(120,1)}
       105:{1,4,6,7}:{(86,1),(87,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(119,1)}
       107:{1,4,5}:{(90,1),(93,1),(100,1)}
       108:{1,4,7}:{(90,1),(91,1),(101,1)}
       109:{1,3,6,7}:{(91,1),(92,1),(102,1),(122,1),(123,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(121,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{3,4,5}:{(96,1),(100,1)}
       113:{3,4,7}:{(96,1),(97,1),(101,1)}
       114:{3,6,7}:{(97,1),(98,1)}
       115:{2,5,6,7}:{(98,1),(99,1),(126,1),(128,1)}
       116:{2,4,5,7}:{(100,1),(101,1),(103,1),(104,1),(121,1),(124,1),(127,1),(128,1)}
       117:{2,4,6,7}:{(101,1),(102,1),(105,1),(122,1),(125,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(127,1)}
       119:{1,4,6}:{(104,1),(106,1),(127,1),(129,1)}
       120:{1,5,7}:{(105,1),(128,1),(129,1)}
       121:{1,4,5,7}:{(107,1),(108,1),(110,1),(116,1),(130,1),(131,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(130,1)}
       124:{3,4,5,7}:{(112,1),(113,1),(116,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(117,1),(132,1),(133,1),(134,1)}
       126:{3,5,6,7}:{(114,1),(115,1),(133,1),(134,1)}
       127:{2,4,6}:{(116,1),(118,1),(119,1),(130,1),(132,1),(135,1)}
       128:{2,5,7}:{(117,1),(120,1),(131,1),(133,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,4,6}:{(121,1),(123,1),(127,1),(136,1)}
       131:{1,5,7}:{(122,1),(128,1),(136,1)}
       132:{3,4,6}:{(124,1),(127,1),(137,1)}
       133:{3,5,7}:{(125,1),(128,1),(137,1),(138,1)}
       134:{4,6,7}:{(126,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(137,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{3,5,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{4,5,7}:{(133,1),(134,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2350 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(52,1),(116,1),(131,1),(182,1),(187,1),(209,1),(225,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(30,1),(32,1),(143,1),(165,1),(239,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(40,1),(85,1),(94,1),(168,1),(176,1),(178,1),(236,1),(272,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(83,1),(161,1),(230,1),(237,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(55,1),(287,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(213,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(133,1),(222,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(61,1),(65,1),(133,1),(223,1),(315,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1),(122,1),(132,1),(285,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(274,1),(281,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(48,1),(118,1),(199,1),(209,1),(225,1),(278,1),(286,1)}
        11:{1,2,3,6,7}:{(4,1),(23,1),(24,1),(87,1),(143,1),(146,1),(232,1),(241,1),(332,1),(394,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(168,1),(263,1)}
        13:{1,2,3,5,6}:{(4,1),(23,1),(31,1),(32,1),(73,1),(86,1),(89,1),(146,1),(165,1),(171,1),(232,1),(267,1),(326,1),(350,1),(392,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(32,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(30,1),(32,1),(33,1),(81,1),(85,1),(91,1),(168,1),(236,1),(239,1),(264,1),(351,1)}
        16:{2,3,4,6}:{(6,1),(29,1),(35,1),(36,1),(95,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(30,1),(35,1),(36,1),(270,1),(352,1)}
        18:{2,4,6}:{(7,1),(8,1),(36,1),(37,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(97,1),(327,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(38,1),(40,1),(77,1),(87,1),(152,1),(168,1),(178,1),(249,1),(272,1),(331,1)}
        21:{2,4,5,6}:{(9,1),(39,1),(41,1),(42,1),(161,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(40,1),(42,1),(319,1),(328,1)}
        23:{1,2,3,5,7}:{(11,1),(13,1),(44,1),(45,1),(105,1),(123,1),(219,1),(313,1),(380,1),(410,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(106,1),(190,1),(280,1),(286,1),(287,1)}
        25:{2,3,4,6,7}:{(16,1),(43,1),(46,1),(63,1),(104,1),(109,1),(133,1),(192,1),(198,1),(286,1),(356,1),(408,1),(424,1)}
        26:{2,3,5,6,7}:{(22,1),(47,1),(48,1),(50,1),(114,1),(199,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(275,1),(299,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(209,1),(303,1)}
        29:{1,3,4,6}:{(12,1),(14,1),(16,1),(51,1),(54,1),(55,1),(122,1)}
        30:{1,3,5,7}:{(12,1),(15,1),(17,1),(52,1),(54,1),(55,1),(310,1),(380,1)}
        31:{1,2,4,6}:{(13,1),(44,1),(56,1),(57,1),(122,1),(213,1),(215,1),(409,1)}
        32:{1,2,5}:{(14,1),(54,1)}
        33:{1,2,4,6}:{(15,1),(18,1),(55,1),(58,1),(115,1),(122,1),(285,1),(287,1)}
        34:{2,3,4,5,7}:{(17,1),(53,1),(60,1),(61,1),(108,1),(130,1),(133,1),(187,1),(207,1),(306,1)}
        35:{2,3,5}:{(16,1),(54,1),(61,1)}
        36:{2,3,6}:{(17,1),(18,1),(55,1)}
        37:{2,5,6}:{(18,1),(19,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(20,1),(63,1),(65,1),(133,1),(296,1),(315,1)}
        39:{1,4,5,6}:{(19,1),(21,1),(64,1),(67,1),(122,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(22,1),(65,1),(67,1),(135,1),(365,1)}
        41:{3,4,5,6}:{(21,1),(68,1),(208,1),(274,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(48,1),(67,1),(68,1),(209,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(29,1),(69,1),(70,1),(71,1),(87,1),(141,1),(144,1),(146,1),(168,1),(240,1),(325,1),(331,1),(394,1),(420,1)}
        44:{1,2,4,7}:{(23,1),(31,1),(71,1),(168,1),(266,1),(420,1)}
        45:{1,2,5,7}:{(24,1),(32,1),(70,1),(73,1),(326,1),(328,1)}
        46:{2,3,5,7}:{(25,1),(35,1),(70,1),(74,1),(75,1),(244,1),(328,1),(385,1)}
        47:{1,3,5,6,7}:{(26,1),(40,1),(76,1),(77,1),(152,1),(157,1),(249,1)}
        48:{2,4,6,7}:{(26,1),(42,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(157,1),(234,1),(252,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(319,1),(341,1)}
        51:{2,3,4,6}:{(28,1),(29,1),(82,1),(83,1),(161,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(81,1),(82,1),(83,1),(345,1),(400,1)}
        53:{1,3,4,5,7}:{(30,1),(34,1),(81,1),(84,1),(85,1),(160,1),(164,1),(168,1),(236,1),(257,1),(259,1),(347,1)}
        54:{1,3,5}:{(29,1),(32,1),(35,1),(82,1),(85,1)}
        55:{1,3,6}:{(30,1),(33,1),(36,1),(83,1)}
        56:{1,3,4,6}:{(31,1),(71,1),(88,1),(89,1),(146,1),(263,1),(350,1)}
        57:{1,2,4,5}:{(31,1),(32,1),(85,1),(89,1),(166,1),(326,1),(391,1)}
        58:{1,2,5,6}:{(32,1),(33,1),(37,1),(86,1),(91,1),(158,1),(327,1)}
        59:{1,2,4,6,7}:{(33,1),(38,1),(87,1),(91,1),(159,1),(168,1),(331,1),(332,1),(351,1)}
        60:{2,3,4,6}:{(34,1),(36,1),(84,1),(92,1),(95,1),(150,1),(237,1)}
        61:{2,4,5}:{(35,1),(85,1),(94,1),(95,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(37,1),(86,1),(95,1),(96,1),(97,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(87,1),(96,1),(152,1),(352,1)}
        64:{2,4,5,6}:{(37,1),(39,1),(95,1),(97,1),(98,1)}
        65:{2,5,7}:{(37,1),(38,1),(40,1)}
        66:{1,3,4,5,6}:{(39,1),(41,1),(97,1),(99,1),(100,1),(154,1),(167,1),(179,1),(233,1),(250,1),(339,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(42,1),(77,1),(98,1),(168,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(259,1),(319,1)}
        69:{2,3,4,6,7}:{(43,1),(51,1),(101,1),(104,1),(118,1),(183,1),(192,1),(209,1),(278,1),(286,1),(290,1),(371,1),(411,1)}
        70:{1,3,5,7}:{(43,1),(45,1),(46,1),(54,1),(101,1),(102,1),(103,1),(363,1),(365,1)}
        71:{1,3,4,7}:{(44,1),(56,1),(104,1),(105,1),(380,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(57,1),(102,1),(105,1),(106,1),(187,1)}
        73:{1,2,5,6}:{(45,1),(103,1),(106,1),(281,1),(287,1)}
        74:{2,4,5,7}:{(46,1),(61,1),(102,1),(108,1),(109,1),(133,1),(405,1),(424,1)}
        75:{2,3,5,6}:{(46,1),(103,1),(109,1),(192,1),(194,1),(281,1)}
        76:{2,5,6,7}:{(47,1),(65,1),(111,1),(296,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(67,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(195,1),(203,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(282,1)}
        81:{2,4,5,7}:{(52,1),(53,1),(115,1),(116,1),(206,1),(209,1),(304,1),(378,1)}
        82:{2,3,5}:{(51,1),(54,1),(116,1)}
        83:{2,3,6}:{(52,1),(55,1),(115,1)}
        84:{1,3,4,6}:{(53,1),(55,1),(60,1),(115,1),(119,1),(122,1),(208,1),(285,1)}
        85:{1,4,5}:{(54,1),(61,1),(116,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(58,1),(62,1),(117,1),(122,1),(123,1)}
        87:{1,3,6,7}:{(55,1),(59,1),(63,1),(118,1),(123,1),(380,1)}
        88:{2,3,4,6}:{(56,1),(104,1),(125,1),(126,1),(192,1),(215,1),(222,1),(303,1),(314,1),(377,1)}
        89:{1,3,5}:{(56,1),(57,1),(126,1)}
        90:{1,2,4,5,6}:{(57,1),(58,1),(64,1),(106,1),(122,1),(127,1),(128,1),(136,1),(185,1),(205,1),(215,1),(226,1),(281,1),(297,1),(308,1),(311,1),(364,1),(375,1),(402,1),(409,1)}
        91:{1,2,5,7}:{(58,1),(59,1),(65,1),(123,1),(206,1),(365,1)}
        92:{2,3,5,6}:{(60,1),(119,1),(129,1),(130,1),(194,1),(281,1)}
        93:{2,3,4,6,7}:{(60,1),(63,1),(120,1),(130,1),(133,1),(198,1),(220,1),(286,1),(306,1),(374,1)}
        94:{3,4,5}:{(61,1),(132,1)}
        95:{2,4,6}:{(61,1),(62,1),(122,1),(132,1),(133,1)}
        96:{2,3,5,7}:{(62,1),(63,1),(65,1),(123,1),(133,1),(135,1)}
        97:{3,5,6}:{(64,1),(132,1),(135,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(67,1),(111,1),(133,1),(135,1)}
        99:{2,4,5,6}:{(66,1),(134,1),(136,1),(137,1),(215,1),(226,1),(281,1)}
       100:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(135,1),(137,1),(202,1),(216,1),(227,1),(282,1),(298,1),(373,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(82,1),(138,1),(139,1),(319,1),(328,1),(333,1)}
       102:{1,4,5,7}:{(70,1),(74,1),(85,1),(138,1),(141,1),(168,1),(391,1),(420,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(75,1),(139,1),(141,1),(146,1),(240,1),(327,1)}
       104:{2,3,4,7}:{(71,1),(88,1),(144,1),(145,1),(266,1),(352,1),(400,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(89,1),(145,1),(146,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(141,1),(146,1),(237,1)}
       107:{1,2,5,6,7}:{(73,1),(76,1),(91,1),(142,1),(147,1),(157,1),(253,1),(254,1),(328,1),(332,1),(390,1),(393,1),(417,1)}
       108:{3,4,5,7}:{(74,1),(94,1),(150,1),(178,1),(244,1),(414,1),(426,1)}
       109:{2,4,6}:{(74,1),(75,1),(141,1),(150,1)}
       110:{2,3,5,6,7}:{(75,1),(76,1),(96,1),(142,1),(151,1),(152,1),(241,1),(244,1),(328,1),(417,1),(419,1),(425,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(98,1),(152,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(100,1),(152,1),(153,1),(155,1),(249,1),(252,1),(341,1)}
       113:{3,5,6,7}:{(79,1),(152,1),(155,1),(244,1)}
       114:{2,5,6,7}:{(80,1),(153,1),(157,1),(328,1)}
       115:{2,4,6}:{(81,1),(83,1),(84,1),(158,1)}
       116:{2,4,5}:{(82,1),(85,1),(160,1),(161,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(158,1),(161,1),(162,1),(255,1)}
       118:{2,3,6,7}:{(83,1),(87,1),(159,1),(162,1),(342,1),(400,1)}
       119:{1,3,5,6}:{(84,1),(92,1),(158,1),(163,1),(164,1),(255,1),(327,1)}
       120:{1,3,4,6,7}:{(84,1),(87,1),(93,1),(159,1),(164,1),(168,1),(259,1),(260,1),(331,1),(342,1),(347,1),(398,1)}
       121:{1,3,4,5}:{(85,1),(89,1),(94,1),(160,1),(166,1),(167,1),(338,1),(391,1),(414,1)}
       122:{1,4,6}:{(85,1),(86,1),(95,1),(161,1),(168,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(91,1),(96,1),(162,1),(168,1)}
       124:{1,2,3,6}:{(143,1),(165,1),(169,1),(350,1)}
       125:{1,3,4,6}:{(88,1),(144,1),(169,1),(170,1),(240,1),(263,1),(265,1),(350,1)}
       126:{2,3,5}:{(88,1),(89,1),(166,1),(170,1)}
       127:{1,3,5,6}:{(89,1),(90,1),(97,1),(146,1),(167,1),(171,1),(172,1),(255,1),(339,1),(350,1),(415,1)}
       128:{1,2,4,5,7}:{(90,1),(91,1),(98,1),(147,1),(168,1),(172,1),(181,1),(234,1),(256,1),(266,1),(273,1),(328,1),(340,1),(349,1),(351,1),(393,1),(399,1),(416,1),(420,1)}
       129:{2,4,5,6}:{(92,1),(95,1),(163,1),(174,1),(175,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(164,1),(175,1),(244,1),(328,1)}
       131:{2,3,4,5}:{(94,1),(166,1),(176,1),(177,1),(338,1),(345,1)}
       132:{3,4,6}:{(94,1),(95,1),(97,1),(178,1)}
       133:{2,4,7}:{(95,1),(96,1),(168,1),(178,1)}
       134:{2,3,5,6}:{(97,1),(99,1),(177,1),(179,1),(180,1),(339,1)}
       135:{3,5,7}:{(97,1),(98,1),(152,1),(178,1)}
       136:{1,4,5,6}:{(99,1),(179,1),(181,1),(265,1),(327,1)}
       137:{2,4,5,7}:{(99,1),(100,1),(153,1),(180,1),(181,1),(266,1),(273,1),(328,1)}
       138:{2,4,5,7}:{(101,1),(102,1),(116,1),(182,1),(183,1),(209,1),(368,1),(411,1)}
       139:{2,3,5,6}:{(101,1),(103,1),(183,1),(192,1),(274,1),(281,1)}
       140:{1,3,4,5,7}:{(102,1),(105,1),(108,1),(121,1),(182,1),(187,1),(188,1),(216,1),(282,1)}
       141:{1,4,6}:{(102,1),(103,1),(109,1),(183,1)}
       142:{1,3,5,6,7}:{(103,1),(107,1),(110,1),(123,1),(184,1),(189,1),(193,1),(282,1),(288,1),(365,1),(410,1)}
       143:{1,2,3,7}:{(124,1),(190,1),(380,1)}
       144:{1,3,4,7}:{(104,1),(125,1),(190,1),(191,1),(312,1),(380,1)}
       145:{2,3,5,7}:{(104,1),(105,1),(126,1),(187,1),(191,1),(192,1)}
       146:{1,3,6}:{(105,1),(106,1),(192,1)}
       147:{1,2,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(189,1),(193,1),(200,1),(286,1),(296,1),(299,1),(300,1),(379,1),(412,1),(421,1)}
       148:{2,4,5,6}:{(109,1),(185,1),(194,1),(195,1),(281,1)}
       149:{2,3,4,5,7}:{(108,1),(131,1),(187,1),(196,1),(197,1),(225,1),(292,1),(359,1),(405,1),(424,1)}
       150:{3,4,6}:{(108,1),(109,1),(194,1)}
       151:{2,4,6,7}:{(109,1),(110,1),(133,1),(189,1),(195,1),(198,1),(424,1)}
       152:{3,6,7}:{(111,1),(135,1)}
       153:{2,4,6,7}:{(112,1),(114,1),(137,1),(199,1),(200,1),(296,1)}
       154:{3,4,5,6}:{(194,1),(201,1),(202,1),(422,1)}
       155:{3,4,6,7}:{(113,1),(202,1),(203,1)}
       156:{2,3,5,6,7}:{(113,1),(114,1),(199,1),(203,1),(204,1),(292,1)}
       157:{1,5,6,7}:{(114,1),(200,1),(365,1)}
       158:{2,5,6}:{(115,1),(119,1),(206,1)}
       159:{2,4,6,7}:{(115,1),(118,1),(120,1),(206,1),(209,1),(378,1),(412,1)}
       160:{3,4,5}:{(116,1),(208,1)}
       161:{2,4,6}:{(116,1),(117,1),(122,1),(208,1),(209,1)}
       162:{2,3,5,7}:{(117,1),(118,1),(123,1),(206,1),(209,1),(302,1)}
       163:{1,4,5,6}:{(119,1),(122,1),(129,1),(205,1),(212,1)}
       164:{1,3,5,7}:{(119,1),(120,1),(130,1),(206,1),(212,1),(302,1),(365,1)}
       165:{1,2,3,5}:{(124,1),(213,1),(217,1),(310,1)}
       166:{2,4,5}:{(121,1),(126,1),(214,1),(215,1)}
       167:{1,3,4,6}:{(121,1),(122,1),(127,1),(132,1),(208,1),(215,1),(216,1),(372,1),(409,1),(422,1)}
       168:{1,4,7}:{(122,1),(123,1),(133,1),(209,1)}
       169:{1,2,4,6}:{(124,1),(125,1),(190,1),(213,1),(217,1),(287,1)}
       170:{1,3,5}:{(125,1),(126,1),(214,1),(217,1)}
       171:{2,3,5,6}:{(126,1),(127,1),(192,1),(215,1),(218,1),(219,1),(226,1),(281,1),(314,1),(375,1),(377,1)}
       172:{1,3,5,7}:{(127,1),(128,1),(135,1),(193,1),(216,1),(219,1),(302,1),(373,1),(380,1),(423,1)}
       173:{2,3,5,6,7}:{(130,1),(210,1),(220,1),(289,1),(362,1),(374,1)}
       174:{3,4,5,6}:{(129,1),(132,1),(194,1),(221,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(133,1),(212,1),(220,1),(221,1)}
       176:{1,3,4,5}:{(131,1),(214,1),(223,1),(224,1),(310,1)}
       177:{2,3,4,6}:{(131,1),(132,1),(134,1),(215,1),(224,1),(225,1),(372,1),(377,1)}
       178:{3,4,7}:{(132,1),(133,1),(135,1)}
       179:{1,3,5,6}:{(134,1),(136,1),(224,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(134,1),(135,1),(137,1),(199,1),(225,1),(227,1),(373,1)}
       181:{1,4,5,7}:{(136,1),(137,1),(200,1),(227,1),(312,1),(365,1)}
       182:{3,4,5,7}:{(138,1),(160,1),(230,1),(259,1),(319,1),(338,1),(397,1)}
       183:{2,4,6}:{(138,1),(139,1),(141,1),(230,1)}
       184:{2,3,5,6,7}:{(139,1),(142,1),(162,1),(231,1),(241,1),(253,1),(254,1),(319,1),(328,1),(341,1),(342,1),(396,1)}
       185:{1,4,5,6}:{(141,1),(148,1),(228,1),(233,1),(234,1),(327,1)}
       186:{1,2,3,5,7}:{(143,1),(165,1),(232,1),(235,1),(239,1),(326,1),(329,1)}
       187:{2,4,5,7}:{(140,1),(145,1),(166,1),(236,1),(237,1),(266,1),(328,1)}
       188:{1,3,4,6}:{(140,1),(141,1),(146,1),(150,1),(230,1),(233,1),(237,1)}
       189:{1,4,6,7}:{(141,1),(142,1),(151,1),(168,1),(231,1),(234,1),(420,1)}
       190:{1,2,4,7}:{(143,1),(144,1),(169,1),(239,1)}
       191:{1,3,5,7}:{(144,1),(145,1),(170,1),(236,1),(239,1),(240,1)}
       192:{2,3,6}:{(145,1),(146,1),(237,1),(240,1)}
       193:{1,3,6,7}:{(146,1),(147,1),(152,1),(172,1),(241,1),(341,1),(342,1),(425,1)}
       194:{3,5,6}:{(148,1),(150,1),(244,1)}
       195:{2,4,5,7}:{(148,1),(151,1),(234,1),(244,1),(328,1)}
       196:{1,3,4,5,7}:{(149,1),(176,1),(236,1),(246,1),(247,1),(272,1),(329,1),(335,1),(338,1),(391,1),(397,1),(420,1)}
       197:{2,3,4,6}:{(149,1),(150,1),(237,1),(243,1),(247,1),(388,1),(418,1)}
       198:{3,4,6,7}:{(150,1),(151,1),(152,1),(178,1),(244,1),(425,1),(426,1)}
       199:{2,3,6,7}:{(152,1),(153,1),(180,1),(249,1),(341,1)}
       200:{1,4,6,7}:{(153,1),(157,1),(181,1),(249,1)}
       201:{2,4,5,6}:{(154,1),(243,1),(250,1),(251,1),(418,1)}
       202:{3,4,5,7}:{(154,1),(155,1),(244,1),(251,1),(426,1)}
       203:{2,4,6,7}:{(155,1),(156,1),(251,1),(252,1)}
       204:{1,3,5,6,7}:{(156,1),(157,1),(249,1),(252,1),(253,1),(335,1),(341,1)}
       205:{2,4,5,6}:{(158,1),(161,1),(163,1),(255,1),(256,1)}
       206:{2,5,7}:{(158,1),(159,1),(164,1)}
       207:{2,3,4,5}:{(160,1),(166,1),(257,1),(258,1),(270,1),(414,1)}
       208:{3,4,6}:{(160,1),(161,1),(255,1),(259,1)}
       209:{2,4,7}:{(161,1),(162,1),(168,1),(259,1)}
       210:{1,3,5,6,7}:{(164,1),(173,1),(254,1),(260,1),(342,1),(390,1),(398,1)}
       211:{1,3,4,5,6}:{(163,1),(167,1),(174,1),(233,1),(255,1),(261,1),(262,1),(316,1),(343,1),(382,1),(415,1)}
       212:{1,4,5,7}:{(163,1),(164,1),(168,1),(175,1),(256,1),(260,1)}
       213:{1,2,4}:{(165,1),(263,1)}
       214:{1,4,5}:{(166,1),(170,1),(265,1)}
       215:{2,4,6}:{(166,1),(167,1),(171,1),(265,1),(266,1)}
       216:{1,3,4,7}:{(167,1),(168,1),(172,1),(178,1),(259,1),(266,1),(397,1),(420,1),(426,1)}
       217:{1,2,5}:{(169,1),(170,1)}
       218:{1,3,5,6}:{(170,1),(171,1),(240,1),(265,1),(267,1),(268,1),(327,1),(350,1)}
       219:{2,3,5,7}:{(171,1),(172,1),(241,1),(266,1),(268,1),(273,1),(328,1),(352,1),(399,1),(400,1)}
       220:{2,4,6,7}:{(173,1),(175,1),(260,1),(269,1)}
       221:{3,4,5,7}:{(174,1),(175,1),(178,1),(244,1),(269,1)}
       222:{2,3,4}:{(263,1),(270,1)}
       223:{2,4,5}:{(176,1),(270,1),(271,1)}
       224:{1,3,4,6}:{(176,1),(177,1),(179,1),(265,1),(271,1),(272,1),(350,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(180,1),(266,1),(272,1),(397,1),(400,1)}
       226:{2,5,6}:{(179,1),(271,1),(273,1)}
       227:{1,3,5,7}:{(179,1),(180,1),(181,1),(249,1),(272,1),(273,1)}
       228:{2,4,5,6}:{(183,1),(185,1),(274,1),(275,1),(281,1)}
       229:{2,3,4,5,7}:{(182,1),(187,1),(207,1),(276,1),(277,1),(293,1),(306,1),(358,1),(368,1),(411,1)}
       230:{3,4,6}:{(182,1),(183,1),(274,1)}
       231:{2,4,6,7}:{(183,1),(184,1),(189,1),(209,1),(275,1),(278,1),(411,1)}
       232:{1,2,3,6}:{(186,1),(280,1),(287,1),(366,1)}
       233:{1,3,5,6}:{(185,1),(188,1),(194,1),(274,1),(281,1),(282,1)}
       234:{1,4,5,7}:{(185,1),(189,1),(195,1),(275,1),(282,1),(365,1)}
       235:{1,2,4,7}:{(186,1),(213,1),(280,1),(283,1)}
       236:{1,4,5,7}:{(187,1),(191,1),(214,1),(285,1),(312,1),(365,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(281,1),(285,1)}
       238:{1,3,4,6,7}:{(188,1),(189,1),(193,1),(198,1),(216,1),(278,1),(282,1),(286,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(217,1),(287,1)}
       240:{1,3,6}:{(191,1),(192,1),(285,1),(287,1)}
       241:{2,3,6,7}:{(192,1),(193,1),(219,1),(286,1),(288,1),(296,1),(412,1)}
       242:{2,4,5,6,7}:{(195,1),(220,1),(279,1),(289,1),(362,1),(421,1)}
       243:{2,3,5,6}:{(194,1),(197,1),(201,1),(281,1),(291,1),(292,1)}
       244:{3,5,7}:{(194,1),(195,1),(198,1)}
       245:{2,3,4,7}:{(222,1),(283,1),(290,1),(293,1),(411,1)}
       246:{2,4,5,7}:{(196,1),(223,1),(293,1),(294,1),(315,1),(368,1),(370,1),(411,1)}
       247:{1,3,4,6}:{(196,1),(197,1),(285,1),(291,1),(294,1),(366,1),(372,1),(409,1)}
       248:{2,3,4,6,7}:{(197,1),(198,1),(199,1),(203,1),(225,1),(286,1),(292,1),(295,1),(408,1),(424,1)}
       249:{1,3,6,7}:{(199,1),(200,1),(227,1),(296,1)}
       250:{1,4,5,6}:{(201,1),(291,1),(297,1),(298,1),(409,1)}
       251:{2,4,5,7}:{(201,1),(202,1),(203,1),(292,1),(298,1),(424,1)}
       252:{1,4,6,7}:{(203,1),(204,1),(298,1),(299,1)}
       253:{2,5,6,7}:{(204,1),(296,1),(299,1),(370,1)}
       254:{2,5,6,7}:{(206,1),(210,1),(300,1),(412,1)}
       255:{3,5,6}:{(205,1),(208,1),(302,1)}
       256:{2,4,5,7}:{(205,1),(206,1),(209,1),(212,1),(300,1),(302,1)}
       257:{1,3,4,5}:{(207,1),(214,1),(304,1),(305,1),(310,1)}
       258:{2,3,4,6}:{(207,1),(208,1),(215,1),(301,1),(305,1),(306,1),(314,1),(422,1)}
       259:{3,4,7}:{(208,1),(209,1),(302,1)}
       260:{1,4,6,7}:{(210,1),(212,1),(220,1),(300,1)}
       261:{2,4,5,6}:{(211,1),(215,1),(281,1),(301,1),(308,1),(309,1),(375,1)}
       262:{1,3,4,5,7}:{(211,1),(212,1),(216,1),(221,1),(282,1),(302,1),(307,1),(309,1),(354,1),(376,1),(403,1),(423,1)}
       263:{1,3,4}:{(213,1),(222,1),(303,1),(310,1)}
       264:{1,2,4,5}:{(213,1),(214,1),(217,1),(223,1),(304,1),(310,1),(311,1)}
       265:{1,4,6}:{(214,1),(215,1),(218,1),(312,1)}
       266:{2,4,7}:{(215,1),(216,1),(219,1),(312,1)}
       267:{1,2,5,6}:{(217,1),(218,1),(226,1),(287,1),(311,1),(313,1),(375,1)}
       268:{1,3,5,7}:{(218,1),(219,1),(288,1),(312,1),(313,1),(365,1),(380,1)}
       269:{3,4,6,7}:{(220,1),(221,1),(289,1)}
       270:{2,3,5}:{(222,1),(223,1),(310,1),(314,1)}
       271:{2,4,6}:{(223,1),(224,1),(226,1),(314,1),(315,1)}
       272:{1,3,4,7}:{(224,1),(225,1),(227,1),(312,1),(315,1),(380,1)}
       273:{2,5,7}:{(226,1),(227,1),(296,1),(315,1)}
       274:{3,5,6}:{(228,1),(230,1),(319,1)}
       275:{2,4,5,7}:{(228,1),(231,1),(234,1),(319,1),(328,1)}
       276:{1,3,4,5,7}:{(229,1),(236,1),(257,1),(321,1),(322,1),(329,1),(347,1),(387,1),(391,1),(414,1),(420,1),(426,1)}
       277:{2,3,4,6}:{(229,1),(230,1),(237,1),(318,1),(322,1),(336,1),(395,1)}
       278:{3,4,6,7}:{(230,1),(231,1),(259,1),(319,1),(341,1),(342,1),(397,1)}
       279:{1,4,5,6,7}:{(234,1),(242,1),(260,1),(317,1),(324,1),(390,1),(413,1)}
       280:{1,2,4,6}:{(232,1),(235,1),(325,1),(326,1)}
       281:{2,5,6}:{(233,1),(237,1),(327,1),(328,1)}
       282:{1,3,5,7}:{(233,1),(234,1),(238,1),(244,1),(319,1),(328,1)}
       283:{1,3,4,7}:{(235,1),(245,1),(263,1),(320,1),(325,1),(329,1),(420,1)}
       284:{1,2,4,5,7}:{(235,1),(236,1),(239,1),(246,1),(264,1),(321,1),(326,1),(329,1),(330,1),(351,1),(391,1),(393,1),(420,1)}
       285:{1,4,6}:{(236,1),(237,1),(240,1),(327,1)}
       286:{2,4,6,7}:{(237,1),(238,1),(241,1),(266,1),(328,1),(331,1)}
       287:{1,2,6}:{(239,1),(240,1)}
       288:{1,3,6,7}:{(240,1),(241,1),(268,1),(331,1),(332,1)}
       289:{3,5,6,7}:{(242,1),(244,1),(269,1),(425,1)}
       290:{2,3,4,6}:{(245,1),(325,1),(333,1),(336,1),(395,1)}
       291:{1,3,5,6}:{(243,1),(247,1),(250,1),(327,1),(334,1),(335,1),(339,1)}
       292:{2,3,5,7}:{(243,1),(244,1),(248,1),(251,1),(328,1),(335,1)}
       293:{2,3,5,7}:{(245,1),(246,1),(270,1),(329,1),(333,1),(336,1),(352,1)}
       294:{2,4,6}:{(246,1),(247,1),(334,1),(336,1)}
       295:{1,3,4,6,7}:{(247,1),(248,1),(249,1),(252,1),(272,1),(331,1),(335,1),(337,1),(341,1),(394,1),(397,1),(420,1)}
       296:{2,6,7}:{(249,1),(273,1)}
       297:{2,4,5,6}:{(250,1),(334,1),(339,1),(340,1),(395,1)}
       298:{1,4,5,7}:{(250,1),(251,1),(252,1),(335,1),(340,1),(420,1)}
       299:{2,4,6,7}:{(252,1),(253,1),(340,1),(341,1)}
       300:{2,4,6,7}:{(254,1),(256,1),(260,1),(342,1)}
       301:{2,3,5,6}:{(255,1),(258,1),(261,1),(343,1),(344,1),(415,1)}
       302:{3,5,7}:{(255,1),(256,1),(259,1),(342,1)}
       303:{2,3,4}:{(263,1),(345,1)}
       304:{2,4,5}:{(257,1),(345,1),(346,1)}
       305:{1,3,4,6}:{(257,1),(258,1),(265,1),(343,1),(346,1),(347,1),(350,1)}
       306:{2,3,4,7}:{(258,1),(259,1),(266,1),(344,1),(347,1),(352,1),(426,1)}
       307:{1,3,4,6,7}:{(260,1),(262,1),(269,1),(324,1),(342,1),(348,1),(381,1),(398,1),(413,1),(425,1)}
       308:{1,4,5,6}:{(261,1),(265,1),(327,1),(343,1),(349,1)}
       309:{2,4,5,7}:{(261,1),(262,1),(266,1),(328,1),(344,1),(348,1),(349,1),(399,1)}
       310:{1,3,5}:{(263,1),(264,1),(270,1),(345,1),(350,1)}
       311:{1,2,4,6}:{(264,1),(265,1),(267,1),(271,1),(346,1),(350,1),(351,1)}
       312:{1,4,7}:{(265,1),(266,1),(268,1)}
       313:{1,2,5,7}:{(267,1),(268,1),(273,1),(332,1),(351,1),(399,1)}
       314:{2,3,6}:{(270,1),(271,1),(350,1),(352,1)}
       315:{2,4,7}:{(271,1),(272,1),(273,1),(352,1)}
       316:{3,4,5,6}:{(274,1),(353,1),(354,1),(372,1)}
       317:{2,4,5,6,7}:{(275,1),(279,1),(300,1),(355,1),(362,1),(401,1)}
       318:{2,3,5,6}:{(274,1),(277,1),(281,1),(353,1),(357,1),(358,1)}
       319:{3,5,7}:{(274,1),(275,1),(278,1)}
       320:{2,3,4,7}:{(283,1),(303,1),(356,1),(359,1),(424,1)}
       321:{2,4,5,7}:{(276,1),(304,1),(359,1),(360,1),(378,1),(405,1),(407,1),(424,1)}
       322:{1,3,4,6}:{(276,1),(277,1),(285,1),(357,1),(360,1),(366,1),(409,1),(422,1)}
       323:{2,3,4,6,7}:{(277,1),(278,1),(286,1),(306,1),(358,1),(361,1),(371,1),(374,1),(401,1),(411,1)}
       324:{1,3,5,6,7}:{(279,1),(282,1),(289,1),(307,1),(355,1),(362,1)}
       325:{1,3,4,6}:{(280,1),(283,1),(290,1),(356,1),(363,1),(366,1),(409,1)}
       326:{1,2,5}:{(280,1),(363,1)}
       327:{1,5,6}:{(281,1),(285,1),(365,1)}
       328:{2,5,7}:{(281,1),(282,1),(286,1),(365,1)}
       329:{1,3,5,7}:{(283,1),(284,1),(293,1),(310,1),(359,1),(363,1),(366,1),(380,1)}
       330:{1,2,4,6}:{(284,1),(285,1),(287,1),(294,1),(360,1),(364,1),(366,1),(409,1)}
       331:{1,4,6,7}:{(285,1),(286,1),(288,1),(312,1),(365,1)}
       332:{1,2,6,7}:{(287,1),(288,1),(296,1),(313,1),(412,1)}
       333:{2,3,5}:{(290,1),(363,1),(368,1)}
       334:{2,5,6}:{(291,1),(294,1),(370,1)}
       335:{1,3,5,7}:{(291,1),(292,1),(295,1),(298,1),(365,1),(370,1),(373,1)}
       336:{2,3,6}:{(293,1),(294,1),(366,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(296,1),(315,1),(370,1),(371,1),(411,1)}
       338:{3,4,5}:{(368,1),(372,1)}
       339:{3,5,6}:{(297,1),(372,1),(373,1)}
       340:{2,4,5,7}:{(297,1),(298,1),(299,1),(370,1),(373,1),(411,1)}
       341:{3,6,7}:{(299,1),(373,1)}
       342:{3,6,7}:{(300,1),(302,1)}
       343:{1,3,5,6}:{(301,1),(305,1),(308,1),(375,1),(376,1)}
       344:{2,3,5,7}:{(301,1),(302,1),(306,1),(309,1),(374,1),(376,1),(423,1)}
       345:{2,3,5}:{(303,1),(304,1),(310,1),(377,1)}
       346:{2,4,6}:{(304,1),(305,1),(375,1),(377,1),(378,1)}
       347:{1,3,4,7}:{(305,1),(306,1),(312,1),(376,1),(378,1),(380,1)}
       348:{2,4,6,7}:{(307,1),(309,1),(362,1),(374,1),(379,1),(412,1)}
       349:{1,4,5,7}:{(308,1),(309,1),(312,1),(365,1),(376,1),(379,1)}
       350:{1,3,6}:{(310,1),(311,1),(314,1),(377,1),(380,1)}
       351:{1,2,4,7}:{(311,1),(312,1),(313,1),(315,1),(378,1),(380,1)}
       352:{2,3,7}:{(314,1),(315,1),(380,1)}
       353:{2,4,5,6}:{(316,1),(318,1),(382,1),(383,1),(395,1)}
       354:{3,4,5,7}:{(316,1),(319,1),(381,1),(383,1),(397,1)}
       355:{3,5,6,7}:{(317,1),(319,1),(342,1),(381,1)}
       356:{2,3,4,6}:{(320,1),(325,1),(385,1),(388,1),(418,1)}
       357:{1,3,5,6}:{(318,1),(322,1),(327,1),(382,1),(386,1),(387,1),(415,1)}
       358:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(383,1),(387,1)}
       359:{2,3,5,7}:{(320,1),(321,1),(329,1),(345,1),(385,1),(388,1),(400,1)}
       360:{2,4,6}:{(321,1),(322,1),(386,1),(388,1)}
       361:{1,3,4,6,7}:{(322,1),(323,1),(331,1),(347,1),(387,1),(389,1),(394,1),(398,1),(413,1),(420,1),(425,1),(426,1)}
       362:{2,5,6,7}:{(324,1),(328,1),(348,1),(390,1)}
       363:{1,3,5}:{(325,1),(326,1),(333,1),(385,1),(391,1)}
       364:{1,2,5,6}:{(326,1),(327,1),(330,1),(334,1),(386,1),(392,1),(393,1)}
       365:{1,5,7}:{(327,1),(328,1),(331,1)}
       366:{1,3,6}:{(329,1),(330,1),(336,1),(388,1)}
       367:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(337,1),(351,1),(389,1),(393,1),(394,1),(420,1)}
       368:{2,4,5}:{(333,1),(338,1),(391,1),(395,1)}
       369:{2,3,5,6}:{(333,1),(334,1),(336,1),(339,1),(392,1),(395,1),(396,1)}
       370:{2,5,7}:{(334,1),(335,1),(337,1)}
       371:{2,3,6,7}:{(336,1),(337,1),(341,1),(352,1),(394,1),(396,1)}
       372:{3,4,6}:{(338,1),(339,1),(395,1),(397,1)}
       373:{3,5,7}:{(339,1),(340,1),(341,1),(397,1)}
       374:{2,3,6,7}:{(342,1),(344,1),(348,1),(398,1),(425,1)}
       375:{2,5,6}:{(343,1),(346,1),(399,1)}
       376:{1,3,5,7}:{(343,1),(344,1),(347,1),(349,1),(398,1),(399,1)}
       377:{2,3,6}:{(345,1),(346,1),(350,1),(400,1)}
       378:{2,4,7}:{(346,1),(347,1),(399,1),(400,1)}
       379:{1,4,6,7}:{(348,1),(349,1),(390,1),(398,1)}
       380:{1,3,7}:{(350,1),(351,1),(352,1),(400,1)}
       381:{3,4,6,7}:{(354,1),(355,1),(401,1)}
       382:{1,4,5,6}:{(353,1),(357,1),(402,1),(403,1),(409,1)}
       383:{2,4,5,7}:{(353,1),(354,1),(358,1),(401,1),(403,1),(411,1)}
       384:{2,3,5,6,7}:{(355,1),(358,1),(362,1),(374,1),(401,1),(404,1)}
       385:{2,3,5}:{(356,1),(363,1),(405,1)}
       386:{2,5,6}:{(357,1),(360,1),(407,1)}
       387:{1,3,5,7}:{(357,1),(358,1),(361,1),(365,1),(403,1),(407,1),(423,1)}
       388:{2,3,6}:{(359,1),(360,1),(366,1)}
       389:{2,4,6,7}:{(360,1),(361,1),(378,1),(407,1),(408,1),(412,1),(424,1)}
       390:{1,5,6,7}:{(362,1),(365,1),(379,1)}
       391:{1,4,5}:{(363,1),(368,1),(405,1),(409,1)}
       392:{1,3,5,6}:{(363,1),(364,1),(366,1),(369,1),(406,1),(409,1),(410,1)}
       393:{1,2,5,7}:{(364,1),(365,1),(367,1),(370,1),(407,1),(410,1)}
       394:{1,3,6,7}:{(366,1),(367,1),(371,1),(380,1),(408,1),(410,1)}
       395:{2,4,6}:{(368,1),(369,1),(372,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(369,1),(370,1),(371,1),(373,1),(410,1),(411,1)}
       397:{3,4,7}:{(372,1),(373,1),(411,1)}
       398:{1,3,6,7}:{(374,1),(376,1),(379,1),(412,1)}
       399:{2,5,7}:{(375,1),(376,1),(378,1),(412,1)}
       400:{2,3,7}:{(377,1),(378,1),(380,1)}
       401:{2,4,6,7}:{(381,1),(383,1),(384,1),(413,1)}
       402:{2,4,5,6}:{(382,1),(386,1),(415,1),(416,1),(418,1)}
       403:{1,4,5,7}:{(382,1),(383,1),(387,1),(413,1),(416,1),(420,1)}
       404:{1,3,5,6,7}:{(384,1),(387,1),(390,1),(398,1),(413,1),(417,1),(425,1)}
       405:{2,4,5}:{(385,1),(391,1),(414,1),(418,1)}
       406:{2,3,5,6}:{(385,1),(386,1),(388,1),(392,1),(415,1),(418,1),(419,1)}
       407:{2,5,7}:{(386,1),(387,1),(389,1)}
       408:{2,3,6,7}:{(388,1),(389,1),(394,1),(400,1),(419,1),(425,1)}
       409:{1,4,6}:{(391,1),(392,1),(395,1),(418,1),(420,1)}
       410:{1,3,5,7}:{(392,1),(393,1),(394,1),(396,1),(419,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(397,1),(420,1)}
       412:{2,6,7}:{(398,1),(399,1)}
       413:{1,4,6,7}:{(401,1),(403,1),(404,1),(421,1)}
       414:{3,4,5}:{(405,1),(422,1)}
       415:{3,5,6}:{(402,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(402,1),(403,1),(407,1),(421,1),(423,1),(424,1)}
       417:{2,5,6,7}:{(404,1),(407,1),(412,1),(421,1)}
       418:{2,4,6}:{(405,1),(406,1),(409,1),(422,1),(424,1)}
       419:{2,3,5,7}:{(406,1),(407,1),(408,1),(410,1),(423,1),(424,1)}
       420:{1,4,7}:{(409,1),(410,1),(411,1),(424,1)}
       421:{2,4,6,7}:{(413,1),(416,1),(417,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(418,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(418,1),(419,1),(420,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2351 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(40,1),(41,1),(92,1),(165,1),(166,1),(236,1),(240,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(65,1),(129,1),(264,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(30,1),(64,1),(125,1),(137,1),(138,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(164,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(280,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(38,1),(87,1),(92,1),(96,1),(165,1),(223,1),(226,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(47,1),(103,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(94,1),(108,1),(109,1),(161,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(117,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(187,1),(254,1)}
        11:{1,3,4,5,6}:{(4,1),(24,1),(25,1),(29,1),(55,1),(68,1),(76,1),(113,1),(136,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(66,1),(71,1),(124,1),(131,1),(137,1),(138,1),(196,1),(203,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(4,1),(22,1),(28,1),(201,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(129,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(257,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(296,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(61,1),(73,1),(119,1),(122,1),(125,1),(137,1),(140,1),(256,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(127,1),(199,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(85,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(15,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(43,1),(49,1),(81,1),(98,1),(106,1),(146,1),(172,1),(215,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(43,1),(44,1),(99,1),(171,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(47,1),(97,1),(103,1),(237,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(41,1),(47,1),(48,1),(105,1),(160,1),(232,1),(236,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(38,1),(49,1),(165,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(103,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(279,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(154,1),(161,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(108,1),(163,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(57,1),(59,1),(61,1),(117,1),(119,1),(122,1),(187,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(30,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,4,5}:{(63,1),(64,1),(141,1),(195,1),(208,1),(247,1)}
        41:{2,3,5,7}:{(27,1),(65,1),(66,1),(131,1),(195,1),(259,1),(297,1)}
        42:{2,3,5,6}:{(25,1),(63,1),(67,1),(68,1),(76,1),(181,1)}
        43:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(69,1),(133,1),(207,1),(257,1)}
        44:{1,4,5,6}:{(25,1),(68,1),(69,1),(206,1),(296,1)}
        45:{1,2,5,6}:{(26,1),(31,1),(71,1),(72,1),(131,1),(204,1),(296,1)}
        46:{1,2,4,6,7}:{(26,1),(32,1),(71,1),(73,1),(130,1),(137,1),(189,1),(196,1),(256,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(65,1),(264,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(66,1),(74,1),(137,1),(198,1),(201,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(61,1),(75,1),(137,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(72,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(73,1),(77,1),(122,1),(199,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(299,1)}
        56:{2,3,4,5,7}:{(40,1),(83,1),(84,1),(92,1),(144,1),(176,1),(217,1),(240,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(144,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(43,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(51,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(40,1),(42,1),(92,1),(93,1),(107,1),(171,1),(216,1),(230,1)}
        64:{1,3,4,5}:{(40,1),(93,1),(94,1),(160,1),(239,1)}
        65:{2,3,6}:{(41,1),(47,1),(97,1),(306,1)}
        66:{2,4,7}:{(41,1),(48,1),(97,1),(231,1)}
        67:{2,3,5,7}:{(42,1),(43,1),(87,1),(92,1),(98,1),(106,1),(215,1)}
        68:{1,3,5,6}:{(42,1),(44,1),(93,1),(98,1),(99,1)}
        69:{1,4,5,7}:{(43,1),(44,1),(88,1),(98,1),(238,1),(279,1)}
        70:{1,2,4,5,6}:{(44,1),(45,1),(50,1),(99,1),(100,1),(101,1),(103,1),(147,1),(159,1),(166,1),(171,1),(212,1),(228,1),(237,1),(239,1),(269,1),(280,1),(282,1),(285,1),(301,1),(306,1),(313,1)}
        71:{1,2,5,7}:{(45,1),(46,1),(51,1),(102,1),(167,1),(279,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(52,1),(95,1),(102,1),(103,1),(105,1)}
        73:{1,3,6,7}:{(46,1),(47,1),(53,1),(96,1),(102,1),(232,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(97,1),(103,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(90,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(102,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(103,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(104,1),(108,1),(110,1),(157,1),(177,1),(226,1),(234,1),(284,1)}
        80:{2,3,5}:{(54,1),(105,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(64,1),(115,1),(116,1),(125,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(60,1),(117,1),(118,1),(119,1),(178,1),(187,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(187,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(69,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(71,1),(118,1),(120,1),(121,1),(189,1),(204,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(77,1),(121,1),(122,1),(123,1),(143,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(125,1),(140,1),(207,1),(246,1),(259,1)}
        93:{1,3,4,6}:{(63,1),(64,1),(68,1),(125,1),(126,1),(197,1),(206,1)}
        94:{2,4,5}:{(64,1),(126,1),(127,1)}
        95:{2,3,5,6}:{(65,1),(72,1),(128,1),(129,1),(131,1),(202,1),(204,1),(264,1)}
        96:{2,3,6,7}:{(65,1),(73,1),(128,1),(130,1),(259,1),(264,1)}
        97:{2,4,6}:{(65,1),(66,1),(74,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(69,1),(119,1),(125,1),(133,1)}
        99:{2,5,6}:{(68,1),(126,1),(133,1)}
       100:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(75,1),(120,1),(133,1),(135,1),(137,1),(180,1),(192,1),(196,1),(203,1),(207,1),(242,1),(257,1),(265,1),(288,1),(297,1),(309,1)}
       101:{1,3,5,6}:{(70,1),(76,1),(134,1),(135,1),(136,1),(181,1),(197,1),(202,1),(262,1),(264,1),(298,1),(308,1),(314,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(128,1),(137,1)}
       103:{1,4,6}:{(72,1),(78,1),(129,1),(137,1),(138,1)}
       104:{1,3,4,6,7}:{(73,1),(74,1),(79,1),(130,1),(137,1),(139,1),(201,1),(210,1),(256,1),(261,1),(264,1),(298,1)}
       105:{1,3,5}:{(74,1),(80,1),(131,1),(138,1),(202,1)}
       106:{3,5,7}:{(75,1),(76,1),(122,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(137,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(138,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(139,1),(142,1),(143,1),(193,1),(257,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(229,1),(280,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(149,1),(157,1),(226,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(94,1),(150,1),(151,1),(161,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(154,1),(213,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(100,1),(152,1),(154,1),(155,1),(156,1),(226,1),(237,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(102,1),(153,1),(155,1),(156,1),(175,1),(225,1),(227,1),(268,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(108,1),(156,1),(157,1),(158,1),(177,1),(300,1),(313,1)}
       124:{1,2,4,5}:{(94,1),(159,1),(160,1),(231,1),(239,1),(282,1)}
       125:{1,3,4,7}:{(92,1),(93,1),(98,1),(161,1),(232,1),(238,1)}
       126:{2,4,6}:{(93,1),(94,1),(99,1),(161,1),(162,1)}
       127:{2,3,5}:{(94,1),(160,1),(162,1),(163,1)}
       128:{2,3,5,7}:{(95,1),(96,1),(102,1),(165,1),(167,1),(236,1)}
       129:{2,4,6}:{(95,1),(103,1),(164,1),(165,1),(166,1)}
       130:{2,4,6,7}:{(96,1),(97,1),(104,1),(165,1),(167,1),(237,1),(281,1),(306,1)}
       131:{2,5}:{(97,1),(105,1)}
       132:{1,2,5,6}:{(99,1),(159,1),(168,1),(169,1),(282,1),(306,1)}
       133:{2,5,7}:{(98,1),(99,1),(154,1),(161,1)}
       134:{2,3,5,6}:{(99,1),(101,1),(162,1),(169,1),(170,1),(171,1),(230,1),(235,1),(280,1),(282,1),(284,1),(306,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(106,1),(155,1),(170,1),(172,1),(215,1),(232,1),(236,1),(312,1)}
       136:{1,3,4,6}:{(101,1),(103,1),(107,1),(164,1),(171,1),(172,1),(173,1),(216,1),(269,1),(299,1)}
       137:{1,4,7}:{(102,1),(103,1),(108,1),(165,1)}
       138:{1,4,5}:{(103,1),(105,1),(109,1),(166,1)}
       139:{1,3,5,7}:{(104,1),(105,1),(110,1),(167,1),(174,1),(175,1),(236,1),(279,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(174,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(175,1),(177,1),(229,1),(280,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(296,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(124,1),(182,1),(183,1),(196,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(297,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(125,1),(178,1),(184,1),(187,1),(246,1),(250,1),(256,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(127,1),(183,1),(185,1),(186,1),(199,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(121,1),(128,1),(187,1),(188,1),(190,1),(204,1),(244,1),(254,1),(257,1),(264,1),(295,1)}
       154:{2,6,7}:{(119,1),(133,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(135,1),(187,1),(190,1),(264,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(137,1),(188,1),(192,1),(210,1),(288,1),(310,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{1,2,4,6}:{(124,1),(126,1),(132,1),(196,1),(197,1),(206,1),(260,1)}
       160:{1,3,5}:{(124,1),(127,1),(195,1),(197,1),(198,1)}
       161:{2,4,7}:{(125,1),(126,1),(133,1),(199,1)}
       162:{2,3,6}:{(126,1),(127,1),(197,1),(199,1)}
       163:{2,3,4}:{(127,1),(198,1)}
       164:{3,4,6}:{(129,1),(201,1),(202,1),(264,1)}
       165:{2,4,7}:{(128,1),(129,1),(137,1),(201,1)}
       166:{2,4,5}:{(129,1),(131,1),(138,1),(202,1)}
       167:{2,5,7}:{(130,1),(131,1),(139,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(133,1),(189,1),(196,1),(205,1),(297,1)}
       169:{1,3,5,6}:{(132,1),(134,1),(197,1),(205,1),(206,1),(262,1),(296,1),(298,1)}
       170:{2,3,5,7}:{(133,1),(134,1),(135,1),(190,1),(199,1),(205,1),(207,1),(257,1),(259,1),(297,1)}
       171:{2,4,6}:{(134,1),(136,1),(206,1),(207,1),(208,1)}
       172:{1,3,4,7}:{(135,1),(136,1),(137,1),(140,1),(201,1),(207,1),(246,1),(288,1),(307,1)}
       173:{1,3,4,5}:{(136,1),(138,1),(141,1),(202,1),(208,1),(247,1),(262,1),(289,1),(308,1)}
       174:{1,4,5,7}:{(137,1),(138,1),(139,1),(142,1),(203,1),(210,1)}
       175:{1,3,5,6}:{(139,1),(143,1),(204,1),(210,1),(264,1),(296,1),(298,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(193,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(210,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(279,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(160,1),(217,1),(219,1),(220,1),(232,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(154,1),(161,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(163,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(156,1),(165,1),(223,1),(224,1),(237,1),(270,1),(303,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(170,1),(225,1),(226,1),(284,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(172,1),(223,1),(226,1),(227,1),(241,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(224,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{2,3,5}:{(160,1),(230,1),(231,1),(282,1)}
       196:{1,2,4,7}:{(159,1),(161,1),(168,1),(232,1),(238,1),(281,1)}
       197:{1,3,6}:{(159,1),(160,1),(162,1),(230,1),(232,1)}
       198:{1,3,4}:{(160,1),(163,1),(231,1)}
       199:{2,3,7}:{(161,1),(162,1),(232,1)}
       200:{2,3,4,6}:{(162,1),(163,1),(164,1),(171,1),(233,1),(234,1),(235,1),(284,1),(299,1)}
       201:{3,4,7}:{(164,1),(165,1),(236,1)}
       202:{3,5}:{(164,1),(166,1)}
       203:{2,4,5,7}:{(165,1),(166,1),(167,1),(174,1),(236,1),(237,1)}
       204:{2,5,6}:{(167,1),(175,1),(237,1),(306,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(170,1),(225,1),(232,1),(238,1),(279,1)}
       206:{1,4,6}:{(169,1),(171,1),(238,1),(239,1)}
       207:{2,4,7}:{(170,1),(171,1),(172,1),(238,1)}
       208:{2,4,5}:{(171,1),(173,1),(235,1),(239,1),(282,1)}
       209:{1,3,4,5,7}:{(172,1),(173,1),(174,1),(176,1),(227,1),(236,1),(240,1),(241,1),(272,1),(283,1),(302,1),(312,1)}
       210:{1,4,6}:{(174,1),(175,1),(177,1),(237,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(296,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(195,1),(248,1),(249,1),(259,1),(293,1),(297,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(189,1),(196,1),(242,1),(250,1),(256,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(198,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(199,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(201,1),(246,1),(254,1),(264,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(192,1),(254,1),(255,1),(257,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(207,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(254,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(210,1),(255,1),(258,1),(296,1),(310,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{2,3,6}:{(195,1),(197,1),(259,1),(260,1)}
       231:{2,4}:{(195,1),(198,1)}
       232:{1,3,7}:{(196,1),(197,1),(199,1),(259,1)}
       233:{1,3,4,6}:{(197,1),(198,1),(200,1),(206,1),(260,1),(261,1),(262,1),(298,1)}
       234:{2,3,4,7}:{(199,1),(200,1),(201,1),(207,1),(261,1),(263,1),(307,1)}
       235:{2,3,5}:{(200,1),(202,1),(208,1),(262,1),(308,1)}
       236:{3,5,7}:{(201,1),(202,1),(203,1),(264,1)}
       237:{2,4,6}:{(203,1),(204,1),(210,1),(264,1)}
       238:{1,4,7}:{(205,1),(206,1),(207,1)}
       239:{1,4,5}:{(206,1),(208,1),(262,1)}
       240:{2,4,5,7}:{(207,1),(208,1),(209,1),(257,1),(263,1),(265,1),(266,1),(297,1)}
       241:{1,3,4,6}:{(209,1),(210,1),(211,1),(258,1),(264,1),(266,1),(291,1),(298,1),(310,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(279,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(231,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(232,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(226,1),(234,1),(270,1),(275,1),(277,1),(284,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(228,1),(237,1),(278,1),(280,1),(303,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(241,1),(278,1),(280,1)}
       259:{2,3,7}:{(230,1),(232,1),(281,1)}
       260:{2,4,6}:{(230,1),(231,1),(233,1),(281,1),(282,1),(306,1)}
       261:{1,3,4,7}:{(232,1),(233,1),(234,1),(238,1),(281,1),(283,1)}
       262:{1,3,5}:{(233,1),(235,1),(239,1),(282,1)}
       263:{2,3,5,7}:{(234,1),(235,1),(236,1),(240,1),(283,1),(284,1),(312,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(240,1),(279,1),(283,1),(285,1)}
       266:{2,4,6}:{(240,1),(241,1),(280,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(259,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(256,1),(261,1),(288,1),(292,1),(294,1),(298,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(257,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(264,1),(291,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(261,1),(297,1)}
       282:{2,5}:{(260,1),(262,1)}
       283:{1,3,5,7}:{(261,1),(262,1),(263,1),(265,1),(297,1),(298,1)}
       284:{2,3,6}:{(263,1),(264,1),(266,1),(298,1),(314,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(281,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(279,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(280,1),(284,1),(303,1),(305,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(283,1),(306,1)}
       298:{1,3,6}:{(283,1),(284,1),(285,1),(306,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(296,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2352 :   0:{1,2,3,5,6}:{(1,1),(2,1),(11,1),(48,1),(52,1),(55,1),(92,1),(196,1),(203,1),(305,1),(310,1),(402,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(75,1),(138,1),(443,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(27,1),(31,1),(85,1),(261,1),(356,1),(442,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(33,1),(40,1),(100,1),(104,1),(107,1),(119,1),(126,1),(228,1),(233,1),(340,1)}
         4:{1,3,4,6}:{(1,1),(10,1),(11,1),(12,1),(52,1),(193,1),(305,1)}
         5:{1,2,4,5}:{(1,1),(11,1),(41,1),(310,1),(403,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(122,1),(476,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(52,1),(133,1),(196,1),(317,1),(401,1),(440,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(18,1),(72,1),(141,1),(387,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(62,1),(66,1),(151,1),(182,1),(286,1),(386,1)}
        10:{2,3,4,6}:{(4,1),(23,1),(24,1),(25,1),(75,1),(86,1),(158,1),(272,1)}
        11:{1,3,5}:{(4,1),(5,1),(24,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(25,1),(27,1),(356,1)}
        13:{1,2,4,5,6}:{(5,1),(26,1),(29,1),(30,1),(69,1),(75,1),(164,1),(179,1),(181,1),(251,1),(360,1),(379,1),(443,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(27,1),(30,1),(31,1),(76,1),(90,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(28,1),(30,1),(31,1),(178,1),(253,1),(398,1),(475,1)}
        16:{1,3,4,6}:{(8,1),(32,1),(33,1),(34,1),(104,1),(116,1),(228,1)}
        17:{1,2,4,5}:{(8,1),(33,1),(93,1),(233,1),(341,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(34,1),(199,1),(428,1)}
        19:{1,2,3,6,7}:{(9,1),(37,1),(104,1),(119,1),(210,1),(240,1),(339,1),(488,1)}
        20:{1,3,4,5,6}:{(38,1),(39,1),(42,1),(94,1),(111,1),(125,1),(202,1),(332,1),(334,1),(422,1)}
        21:{1,3,4,5}:{(11,1),(41,1),(42,1),(403,1),(420,1)}
        22:{1,2,3,6}:{(40,1),(44,1),(45,1),(228,1)}
        23:{1,3,4,6}:{(10,1),(44,1),(46,1),(47,1),(116,1),(120,1),(131,1),(228,1)}
        24:{2,3,5}:{(10,1),(11,1),(41,1),(46,1)}
        25:{2,3,4,7}:{(10,1),(12,1),(47,1),(49,1),(122,1),(326,1)}
        26:{1,3,5,6}:{(11,1),(13,1),(42,1),(48,1),(51,1),(52,1),(305,1),(422,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(14,1),(49,1),(52,1)}
        28:{1,3,4,6,7}:{(12,1),(15,1),(50,1),(52,1),(53,1),(137,1),(307,1),(352,1),(401,1),(438,1),(441,1),(476,1)}
        29:{1,2,4,5,7}:{(13,1),(51,1),(54,1),(113,1),(122,1),(223,1),(237,1),(239,1),(308,1),(404,1),(421,1),(476,1)}
        30:{1,2,4,6}:{(14,1),(52,1),(55,1),(123,1),(137,1)}
        31:{1,2,5,7}:{(15,1),(53,1),(55,1),(237,1),(310,1)}
        32:{2,3,4,6}:{(16,1),(58,1),(59,1),(60,1),(141,1),(152,1),(158,1),(272,1)}
        33:{1,3,5}:{(16,1),(17,1),(59,1)}
        34:{1,3,4,7}:{(16,1),(18,1),(60,1),(62,1),(286,1)}
        35:{1,2,4,5,6}:{(17,1),(61,1),(64,1),(65,1),(69,1),(141,1),(164,1),(172,1),(258,1),(260,1),(290,1),(379,1),(387,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(62,1),(65,1),(66,1),(142,1),(156,1)}
        37:{1,2,4,6,7}:{(18,1),(19,1),(63,1),(65,1),(66,1),(174,1),(257,1),(454,1),(513,1)}
        38:{2,4,5,6}:{(20,1),(68,1),(69,1),(70,1),(75,1),(141,1),(164,1),(179,1),(258,1)}
        39:{1,3,4,5,7}:{(20,1),(70,1),(71,1),(77,1),(143,1),(165,1),(180,1),(259,1),(380,1),(382,1),(460,1)}
        40:{1,2,3,5}:{(22,1),(72,1),(79,1),(170,1)}
        41:{2,4,5}:{(21,1),(24,1),(74,1),(75,1)}
        42:{1,3,4,6}:{(21,1),(26,1),(75,1),(77,1),(443,1),(458,1)}
        43:{1,3,4,5,7}:{(21,1),(27,1),(76,1),(77,1),(78,1),(90,1),(180,1),(191,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(72,1),(79,1),(80,1),(183,1)}
        45:{1,2,3,7}:{(22,1),(80,1),(286,1)}
        46:{1,3,5}:{(23,1),(24,1),(74,1),(79,1)}
        47:{1,3,4,7}:{(23,1),(25,1),(80,1),(83,1),(176,1),(286,1)}
        48:{2,3,5,6}:{(24,1),(26,1),(75,1),(82,1),(85,1),(86,1),(164,1),(179,1),(272,1)}
        49:{2,3,5,7}:{(24,1),(25,1),(27,1),(76,1),(83,1),(86,1)}
        50:{2,3,4,6,7}:{(25,1),(28,1),(84,1),(86,1),(87,1),(178,1),(190,1),(274,1),(300,1),(304,1),(375,1),(396,1),(399,1),(457,1)}
        51:{1,3,5,7}:{(26,1),(29,1),(77,1),(85,1),(88,1),(356,1),(460,1)}
        52:{1,3,6}:{(27,1),(30,1),(86,1)}
        53:{1,3,5,7}:{(28,1),(31,1),(87,1),(89,1),(90,1),(358,1),(473,1)}
        54:{1,2,4,6,7}:{(29,1),(30,1),(88,1),(91,1),(167,1),(178,1),(192,1),(281,1),(383,1)}
        55:{1,2,5,6}:{(30,1),(31,1),(89,1),(179,1),(475,1)}
        56:{1,3,4,5}:{(33,1),(93,1),(94,1),(341,1),(420,1)}
        57:{1,2,3,6}:{(92,1),(96,1),(97,1),(305,1)}
        58:{1,3,4,6}:{(32,1),(96,1),(98,1),(99,1),(193,1),(197,1),(208,1),(305,1)}
        59:{2,3,5}:{(32,1),(33,1),(93,1),(98,1)}
        60:{2,3,4,7}:{(32,1),(34,1),(99,1),(101,1),(199,1),(326,1)}
        61:{1,3,5,6}:{(33,1),(35,1),(94,1),(100,1),(103,1),(104,1),(228,1),(422,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(36,1),(101,1),(104,1)}
        63:{1,3,4,6,7}:{(34,1),(37,1),(102,1),(104,1),(105,1),(214,1),(230,1),(339,1),(414,1),(428,1),(486,1),(489,1)}
        64:{1,2,4,5,7}:{(35,1),(103,1),(106,1),(113,1),(199,1),(223,1),(231,1),(314,1),(316,1),(342,1),(421,1),(428,1)}
        65:{1,2,4,6}:{(36,1),(104,1),(107,1),(200,1),(214,1)}
        66:{1,2,5,7}:{(37,1),(105,1),(107,1),(233,1),(314,1)}
        67:{2,3,4,5}:{(41,1),(93,1),(108,1),(109,1),(215,1),(420,1)}
        68:{2,3,5,6}:{(38,1),(109,1),(111,1),(112,1),(422,1)}
        69:{1,4,5,6}:{(38,1),(111,1),(113,1),(120,1),(197,1),(236,1),(313,1)}
        70:{2,4,5,7}:{(38,1),(39,1),(112,1),(113,1),(114,1),(122,1),(199,1),(223,1),(237,1),(314,1)}
        71:{1,3,4,6,7}:{(39,1),(114,1),(115,1),(224,1),(336,1),(337,1),(425,1)}
        72:{1,2,4}:{(40,1),(116,1)}
        73:{1,2,3,5,7}:{(40,1),(45,1),(118,1),(119,1),(127,1),(229,1),(233,1),(487,1),(488,1),(530,1)}
        74:{1,4,5}:{(41,1),(46,1),(120,1)}
        75:{2,4,6}:{(41,1),(42,1),(48,1),(120,1),(122,1)}
        76:{2,4,5,7}:{(41,1),(43,1),(49,1),(121,1),(122,1),(123,1),(237,1)}
        77:{1,3,4,7}:{(42,1),(51,1),(122,1),(476,1),(490,1)}
        78:{1,3,4,6}:{(43,1),(52,1),(123,1),(125,1),(137,1),(248,1)}
        79:{1,2,5}:{(44,1),(46,1)}
        80:{1,2,4,7}:{(44,1),(45,1),(47,1),(127,1)}
        81:{1,2,3,6,7}:{(45,1),(119,1),(128,1),(129,1),(339,1),(350,1),(437,1),(531,1)}
        82:{1,3,5,6}:{(46,1),(48,1),(120,1),(126,1),(130,1),(131,1),(228,1),(236,1)}
        83:{1,3,5,7}:{(46,1),(47,1),(49,1),(121,1),(127,1),(131,1)}
        84:{1,3,4,6,7}:{(47,1),(50,1),(128,1),(131,1),(132,1),(230,1),(235,1),(243,1),(245,1),(339,1),(350,1),(428,1)}
        85:{2,3,5,7}:{(48,1),(51,1),(122,1),(130,1),(133,1),(223,1),(237,1),(326,1)}
        86:{2,3,6}:{(49,1),(52,1),(123,1),(131,1)}
        87:{2,3,5,7}:{(50,1),(53,1),(132,1),(134,1),(135,1),(237,1),(328,1),(348,1),(435,1)}
        88:{1,3,6,7}:{(51,1),(52,1),(54,1),(133,1),(425,1)}
        89:{1,3,5,6}:{(52,1),(53,1),(55,1),(134,1),(137,1),(436,1),(438,1)}
        90:{1,4,5,7}:{(53,1),(135,1),(137,1),(403,1),(476,1)}
        91:{1,2,5,6,7}:{(54,1),(55,1),(136,1),(226,1),(237,1),(335,1),(404,1),(503,1)}
        92:{1,2,3,5}:{(57,1),(138,1),(145,1),(249,1)}
        93:{2,4,5}:{(56,1),(59,1),(140,1),(141,1)}
        94:{1,3,4,6}:{(56,1),(61,1),(141,1),(143,1),(387,1),(458,1)}
        95:{1,3,4,5,7}:{(56,1),(62,1),(142,1),(143,1),(144,1),(156,1),(259,1),(270,1)}
        96:{1,2,4,6}:{(57,1),(58,1),(138,1),(145,1),(146,1),(262,1)}
        97:{1,2,3,7}:{(57,1),(146,1),(356,1)}
        98:{1,3,5}:{(58,1),(59,1),(140,1),(145,1)}
        99:{1,3,4,7}:{(58,1),(60,1),(146,1),(149,1),(255,1),(356,1)}
       100:{2,3,5,6}:{(59,1),(61,1),(141,1),(148,1),(151,1),(152,1),(164,1),(258,1),(272,1)}
       101:{2,3,5,7}:{(59,1),(60,1),(62,1),(142,1),(149,1),(152,1)}
       102:{2,3,4,6,7}:{(60,1),(63,1),(150,1),(152,1),(153,1),(257,1),(269,1),(274,1),(370,1),(374,1),(375,1),(452,1),(455,1),(457,1)}
       103:{1,3,5,7}:{(61,1),(64,1),(143,1),(151,1),(154,1),(286,1),(460,1)}
       104:{1,3,6}:{(62,1),(65,1),(152,1)}
       105:{1,3,5,7}:{(63,1),(66,1),(153,1),(155,1),(156,1),(288,1),(511,1)}
       106:{1,2,4,6,7}:{(64,1),(65,1),(154,1),(157,1),(167,1),(257,1),(271,1),(281,1),(383,1)}
       107:{1,2,5,6}:{(65,1),(66,1),(155,1),(258,1),(513,1)}
       108:{1,3,4,5}:{(67,1),(74,1),(140,1),(159,1),(160,1),(170,1),(249,1)}
       109:{2,3,4,6}:{(67,1),(68,1),(75,1),(141,1),(160,1),(162,1),(272,1),(458,1)}
       110:{2,3,4,5,7}:{(67,1),(76,1),(142,1),(161,1),(162,1),(163,1),(191,1),(270,1),(273,1),(279,1),(303,1),(373,1),(377,1),(457,1),(459,1),(514,1)}
       111:{1,3,5,6}:{(68,1),(69,1),(160,1),(164,1),(165,1)}
       112:{2,3,5,7}:{(68,1),(70,1),(162,1),(165,1),(166,1),(460,1)}
       113:{1,4,5,7}:{(69,1),(70,1),(165,1),(167,1),(176,1),(255,1),(293,1),(363,1)}
       114:{2,4,6,7}:{(70,1),(71,1),(166,1),(167,1),(168,1),(281,1)}
       115:{1,3,5,6,7}:{(71,1),(168,1),(169,1),(180,1),(259,1),(285,1)}
       116:{1,3,4}:{(72,1),(158,1),(170,1)}
       117:{1,2,4,5}:{(72,1),(74,1),(79,1),(159,1),(170,1),(172,1)}
       118:{1,2,4,7}:{(72,1),(73,1),(171,1),(174,1),(543,1)}
       119:{1,2,3,6}:{(73,1),(174,1),(183,1),(287,1),(513,1)}
       120:{1,4,6}:{(74,1),(75,1),(82,1),(176,1)}
       121:{1,4,5,7}:{(74,1),(76,1),(83,1),(176,1),(177,1),(293,1)}
       122:{2,4,7}:{(75,1),(77,1),(85,1),(176,1)}
       123:{2,4,6}:{(76,1),(78,1),(86,1),(177,1),(179,1)}
       124:{1,3,4,6,7}:{(77,1),(78,1),(88,1),(178,1),(180,1),(192,1),(304,1)}
       125:{1,3,5,6}:{(78,1),(179,1),(180,1),(181,1),(296,1)}
       126:{1,2,5,6}:{(79,1),(82,1),(164,1),(172,1),(182,1),(183,1)}
       127:{1,2,5,7}:{(79,1),(80,1),(83,1),(183,1)}
       128:{1,2,4,6,7}:{(80,1),(81,1),(84,1),(174,1),(183,1),(184,1),(185,1),(298,1),(399,1)}
       129:{1,2,3,5,7}:{(81,1),(175,1),(184,1),(185,1),(299,1),(386,1),(469,1),(542,1),(552,1)}
       130:{1,3,5,7}:{(82,1),(85,1),(176,1),(182,1),(186,1),(286,1),(293,1)}
       131:{1,3,6}:{(83,1),(86,1),(177,1),(183,1)}
       132:{1,3,5,7}:{(84,1),(87,1),(184,1),(187,1),(188,1),(288,1),(293,1)}
       133:{2,3,6,7}:{(85,1),(86,1),(88,1),(178,1),(186,1),(281,1)}
       134:{2,3,5,6}:{(86,1),(87,1),(89,1),(179,1),(187,1),(190,1),(296,1),(394,1),(396,1)}
       135:{2,4,5,7}:{(87,1),(90,1),(188,1),(190,1),(191,1),(377,1),(457,1)}
       136:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(180,1),(189,1),(192,1),(442,1),(473,1),(474,1)}
       137:{1,4,6}:{(89,1),(90,1),(190,1)}
       138:{1,2,4}:{(92,1),(193,1)}
       139:{1,2,3,5,7}:{(92,1),(97,1),(195,1),(196,1),(204,1),(306,1),(310,1),(439,1),(440,1),(502,1)}
       140:{1,4,5}:{(93,1),(98,1),(197,1)}
       141:{2,4,6}:{(93,1),(94,1),(100,1),(197,1),(199,1)}
       142:{2,4,5,7}:{(93,1),(95,1),(101,1),(198,1),(199,1),(200,1),(314,1)}
       143:{1,3,4,7}:{(94,1),(103,1),(199,1),(428,1),(490,1)}
       144:{1,3,4,6}:{(95,1),(104,1),(200,1),(202,1),(214,1),(325,1)}
       145:{1,2,5}:{(96,1),(98,1)}
       146:{1,2,4,7}:{(96,1),(97,1),(99,1),(204,1)}
       147:{1,2,3,6,7}:{(97,1),(196,1),(205,1),(206,1),(401,1),(412,1),(485,1),(503,1)}
       148:{1,3,5,6}:{(98,1),(100,1),(197,1),(203,1),(207,1),(208,1),(305,1),(313,1)}
       149:{1,3,5,7}:{(98,1),(99,1),(101,1),(198,1),(204,1),(208,1)}
       150:{1,3,4,6,7}:{(99,1),(102,1),(205,1),(208,1),(209,1),(307,1),(312,1),(320,1),(322,1),(401,1),(412,1),(476,1)}
       151:{2,3,5,7}:{(100,1),(103,1),(199,1),(207,1),(210,1),(223,1),(314,1),(326,1)}
       152:{2,3,6}:{(101,1),(104,1),(200,1),(208,1)}
       153:{2,3,5,7}:{(102,1),(105,1),(209,1),(211,1),(212,1),(314,1),(328,1),(410,1),(483,1)}
       154:{1,3,6,7}:{(103,1),(104,1),(106,1),(210,1),(425,1)}
       155:{1,3,5,6}:{(104,1),(105,1),(107,1),(211,1),(214,1),(484,1),(486,1)}
       156:{1,4,5,7}:{(105,1),(212,1),(214,1),(341,1),(428,1)}
       157:{1,2,5,6,7}:{(106,1),(107,1),(213,1),(226,1),(314,1),(335,1),(342,1),(531,1)}
       158:{2,3,4}:{(116,1),(193,1),(215,1)}
       159:{2,4,5}:{(108,1),(215,1),(217,1)}
       160:{1,3,4,6}:{(108,1),(109,1),(111,1),(120,1),(197,1),(217,1),(219,1),(228,1),(305,1)}
       161:{1,3,4,5,7}:{(108,1),(110,1),(121,1),(198,1),(218,1),(219,1),(220,1),(229,1),(306,1),(331,1),(341,1),(355,1),(403,1),(417,1),(420,1),(428,1),(476,1),(490,1),(492,1),(532,1)}
       162:{2,3,4,7}:{(109,1),(112,1),(122,1),(199,1),(219,1),(326,1),(490,1)}
       163:{2,3,4,6}:{(110,1),(123,1),(200,1),(220,1),(222,1),(248,1),(325,1),(327,1),(354,1),(416,1),(419,1)}
       164:{2,5,6}:{(111,1),(217,1),(223,1)}
       165:{1,3,5,7}:{(111,1),(112,1),(113,1),(219,1),(223,1),(224,1)}
       166:{2,3,6,7}:{(112,1),(114,1),(224,1),(425,1)}
       167:{1,4,6,7}:{(113,1),(114,1),(224,1),(226,1)}
       168:{2,5,6,7}:{(114,1),(115,1),(226,1),(237,1),(314,1)}
       169:{1,4,5,6,7}:{(115,1),(227,1),(239,1),(316,1),(336,1),(427,1)}
       170:{1,3,5}:{(116,1),(117,1),(215,1),(228,1)}
       171:{1,3,4,7}:{(116,1),(118,1),(216,1),(229,1),(230,1),(428,1),(550,1)}
       172:{1,2,4,6}:{(117,1),(120,1),(126,1),(217,1),(228,1),(231,1)}
       173:{1,2,4,5,7}:{(117,1),(118,1),(121,1),(127,1),(218,1),(229,1),(231,1),(232,1),(233,1),(341,1),(342,1),(417,1),(428,1),(487,1),(527,1),(548,1)}
       174:{1,2,4,6}:{(118,1),(119,1),(230,1),(233,1)}
       175:{1,2,3,5,6}:{(119,1),(129,1),(233,1),(234,1),(241,1),(340,1),(344,1),(350,1),(432,1),(529,1),(530,1),(549,1)}
       176:{1,4,7}:{(120,1),(122,1),(130,1)}
       177:{1,4,6}:{(121,1),(123,1),(131,1),(236,1)}
       178:{2,4,6,7}:{(122,1),(123,1),(124,1),(133,1),(235,1),(237,1)}
       179:{2,5,6}:{(123,1),(125,1),(236,1),(237,1)}
       180:{1,3,5,7}:{(124,1),(125,1),(237,1),(239,1),(348,1)}
       181:{1,4,5,6}:{(125,1),(137,1),(238,1),(239,1),(436,1)}
       182:{1,2,5,7}:{(126,1),(130,1),(223,1),(231,1),(240,1)}
       183:{1,2,6}:{(127,1),(131,1)}
       184:{1,2,5,7}:{(128,1),(132,1),(233,1),(241,1),(435,1)}
       185:{1,2,4,7}:{(129,1),(234,1),(243,1),(428,1),(497,1)}
       186:{1,3,6,7}:{(130,1),(131,1),(133,1),(235,1),(240,1)}
       187:{1,3,5,6}:{(131,1),(132,1),(134,1),(236,1),(241,1),(245,1),(350,1)}
       188:{1,4,5,7}:{(132,1),(135,1),(245,1),(341,1),(428,1)}
       189:{2,3,5,6,7}:{(133,1),(134,1),(136,1),(237,1),(244,1),(247,1),(335,1),(348,1),(418,1),(425,1),(435,1),(437,1)}
       190:{2,4,6}:{(134,1),(135,1),(137,1),(245,1),(248,1)}
       191:{3,4,5,7}:{(135,1),(248,1),(348,1),(420,1),(490,1)}
       192:{1,4,6,7}:{(136,1),(137,1),(239,1),(247,1),(476,1)}
       193:{1,3,4}:{(138,1),(158,1),(249,1)}
       194:{1,2,4,5}:{(138,1),(140,1),(145,1),(159,1),(249,1),(251,1)}
       195:{1,2,4,7}:{(138,1),(139,1),(250,1),(253,1),(524,1)}
       196:{1,2,3,6}:{(139,1),(253,1),(262,1),(357,1),(475,1)}
       197:{1,4,6}:{(140,1),(141,1),(148,1),(255,1)}
       198:{1,4,5,7}:{(140,1),(142,1),(149,1),(255,1),(256,1),(363,1)}
       199:{2,4,7}:{(141,1),(143,1),(151,1),(255,1)}
       200:{2,4,6}:{(142,1),(144,1),(152,1),(256,1),(258,1)}
       201:{1,3,4,6,7}:{(143,1),(144,1),(154,1),(257,1),(259,1),(271,1),(374,1)}
       202:{1,3,5,6}:{(144,1),(258,1),(259,1),(260,1),(366,1)}
       203:{1,2,5,6}:{(145,1),(148,1),(164,1),(251,1),(261,1),(262,1)}
       204:{1,2,5,7}:{(145,1),(146,1),(149,1),(262,1)}
       205:{1,2,4,6,7}:{(146,1),(147,1),(150,1),(253,1),(262,1),(263,1),(264,1),(368,1),(455,1)}
       206:{1,2,3,5,7}:{(147,1),(254,1),(263,1),(264,1),(369,1),(442,1),(507,1),(523,1),(547,1)}
       207:{1,3,5,7}:{(148,1),(151,1),(255,1),(261,1),(265,1),(356,1),(363,1)}
       208:{1,3,6}:{(149,1),(152,1),(256,1),(262,1)}
       209:{1,3,5,7}:{(150,1),(153,1),(263,1),(266,1),(267,1),(358,1),(363,1)}
       210:{2,3,6,7}:{(151,1),(152,1),(154,1),(257,1),(265,1),(281,1)}
       211:{2,3,5,6}:{(152,1),(153,1),(155,1),(258,1),(266,1),(269,1),(366,1),(450,1),(452,1)}
       212:{2,4,5,7}:{(153,1),(156,1),(267,1),(269,1),(270,1),(377,1),(457,1)}
       213:{1,3,5,6,7}:{(154,1),(155,1),(157,1),(259,1),(268,1),(271,1),(386,1),(511,1),(512,1)}
       214:{1,4,6}:{(155,1),(156,1),(269,1)}
       215:{2,3,5}:{(158,1),(159,1),(170,1),(249,1),(272,1)}
       216:{2,3,4,7}:{(158,1),(171,1),(250,1),(273,1),(274,1),(457,1),(546,1)}
       217:{2,4,6}:{(159,1),(160,1),(164,1),(272,1),(275,1)}
       218:{2,4,5,7}:{(159,1),(161,1),(273,1),(275,1),(276,1),(377,1),(378,1),(457,1),(516,1),(544,1)}
       219:{1,3,4,7}:{(160,1),(162,1),(165,1),(176,1),(255,1),(275,1),(286,1),(356,1)}
       220:{1,3,4,6}:{(161,1),(163,1),(177,1),(256,1),(276,1),(278,1),(287,1),(357,1),(387,1),(400,1),(443,1),(456,1),(458,1)}
       221:{2,3,4,6,7}:{(162,1),(163,1),(166,1),(178,1),(257,1),(277,1),(279,1),(283,1),(304,1),(374,1),(375,1),(399,1),(455,1),(457,1),(464,1),(514,1)}
       222:{2,3,5,6}:{(163,1),(179,1),(258,1),(278,1),(279,1),(280,1),(296,1),(366,1),(394,1),(450,1)}
       223:{2,5,7}:{(164,1),(165,1),(275,1),(281,1)}
       224:{1,3,6,7}:{(165,1),(166,1),(167,1),(281,1)}
       225:{2,3,5,6,7}:{(166,1),(168,1),(279,1),(282,1),(283,1),(285,1),(385,1),(464,1)}
       226:{1,5,6,7}:{(167,1),(168,1),(293,1),(363,1)}
       227:{2,4,5,6,7}:{(168,1),(169,1),(283,1),(284,1),(285,1),(295,1),(365,1),(383,1),(385,1)}
       228:{1,3,6}:{(170,1),(172,1),(272,1),(286,1)}
       229:{1,3,5,7}:{(170,1),(171,1),(173,1),(273,1),(286,1),(287,1),(288,1),(541,1),(552,1)}
       230:{1,3,4,6}:{(171,1),(174,1),(274,1),(287,1),(288,1),(387,1)}
       231:{1,2,4,7}:{(172,1),(176,1),(182,1),(275,1),(286,1)}
       232:{1,2,4,6}:{(173,1),(177,1),(183,1),(276,1),(287,1),(290,1),(387,1),(456,1),(513,1)}
       233:{1,2,5}:{(174,1),(288,1)}
       234:{1,2,4,6}:{(175,1),(185,1),(291,1),(292,1),(387,1),(467,1),(543,1)}
       235:{1,4,6,7}:{(176,1),(177,1),(178,1),(186,1),(293,1)}
       236:{1,5,6}:{(177,1),(179,1),(293,1)}
       237:{2,5,7}:{(178,1),(179,1),(180,1),(293,1)}
       238:{2,4,5,6}:{(179,1),(181,1),(190,1),(294,1),(295,1),(296,1),(394,1)}
       239:{1,4,5,7}:{(180,1),(181,1),(192,1),(295,1),(473,1)}
       240:{1,2,6,7}:{(182,1),(183,1),(186,1),(281,1)}
       241:{1,2,5,6}:{(183,1),(184,1),(187,1),(298,1),(394,1)}
       242:{1,2,4,5,7}:{(184,1),(185,1),(188,1),(291,1),(298,1),(299,1),(303,1)}
       243:{1,3,4,7}:{(185,1),(292,1),(299,1),(300,1),(552,1)}
       244:{1,3,5,6,7}:{(186,1),(187,1),(189,1),(293,1),(297,1),(301,1),(386,1),(393,1),(395,1)}
       245:{1,4,6}:{(187,1),(188,1),(190,1)}
       246:{1,3,4,5,7}:{(188,1),(191,1),(299,1),(302,1),(303,1),(388,1),(393,1),(466,1)}
       247:{2,4,6,7}:{(189,1),(190,1),(192,1),(295,1),(301,1),(304,1),(457,1)}
       248:{3,4,6}:{(190,1),(191,1),(296,1)}
       249:{1,3,5}:{(193,1),(194,1),(215,1),(305,1)}
       250:{1,3,4,7}:{(193,1),(195,1),(216,1),(306,1),(307,1),(476,1),(538,1)}
       251:{1,2,4,6}:{(194,1),(197,1),(203,1),(217,1),(305,1),(308,1)}
       252:{1,2,4,5,7}:{(194,1),(195,1),(198,1),(204,1),(218,1),(306,1),(308,1),(309,1),(310,1),(355,1),(403,1),(404,1),(439,1),(476,1),(499,1),(536,1)}
       253:{1,2,4,6}:{(195,1),(196,1),(307,1),(310,1)}
       254:{1,2,3,5,6}:{(196,1),(206,1),(310,1),(311,1),(318,1),(402,1),(406,1),(412,1),(480,1),(501,1),(502,1),(537,1)}
       255:{1,4,7}:{(197,1),(199,1),(207,1)}
       256:{1,4,6}:{(198,1),(200,1),(208,1),(313,1)}
       257:{2,4,6,7}:{(199,1),(200,1),(201,1),(210,1),(312,1),(314,1)}
       258:{2,5,6}:{(200,1),(202,1),(313,1),(314,1)}
       259:{1,3,5,7}:{(201,1),(202,1),(314,1),(316,1),(410,1)}
       260:{1,4,5,6}:{(202,1),(214,1),(315,1),(316,1),(484,1)}
       261:{1,2,5,7}:{(203,1),(207,1),(223,1),(308,1),(317,1)}
       262:{1,2,6}:{(204,1),(208,1)}
       263:{1,2,5,7}:{(205,1),(209,1),(310,1),(318,1),(483,1)}
       264:{1,2,4,7}:{(206,1),(311,1),(320,1),(476,1),(525,1)}
       265:{1,3,6,7}:{(207,1),(208,1),(210,1),(312,1),(317,1)}
       266:{1,3,5,6}:{(208,1),(209,1),(211,1),(313,1),(318,1),(322,1),(412,1)}
       267:{1,4,5,7}:{(209,1),(212,1),(322,1),(403,1),(476,1)}
       268:{2,3,5,6,7}:{(210,1),(211,1),(213,1),(314,1),(321,1),(324,1),(335,1),(410,1),(418,1),(425,1),(483,1),(485,1)}
       269:{2,4,6}:{(211,1),(212,1),(214,1),(322,1),(325,1)}
       270:{3,4,5,7}:{(212,1),(325,1),(410,1),(420,1),(490,1)}
       271:{1,4,6,7}:{(213,1),(214,1),(316,1),(324,1),(428,1)}
       272:{2,3,6}:{(215,1),(217,1),(228,1),(305,1),(326,1)}
       273:{2,3,5,7}:{(215,1),(216,1),(218,1),(229,1),(306,1),(326,1),(327,1),(328,1),(534,1),(551,1)}
       274:{2,3,4,6}:{(216,1),(230,1),(307,1),(327,1),(328,1),(419,1)}
       275:{2,4,7}:{(217,1),(219,1),(223,1),(326,1)}
       276:{2,4,6}:{(218,1),(220,1),(327,1),(330,1)}
       277:{1,3,4,6,7}:{(219,1),(220,1),(221,1),(224,1),(235,1),(312,1),(329,1),(331,1),(336,1),(339,1),(401,1),(425,1),(428,1),(441,1),(476,1),(489,1),(490,1),(496,1),(532,1)}
       278:{1,3,5,6}:{(220,1),(222,1),(236,1),(313,1),(330,1),(331,1),(332,1),(422,1),(436,1),(484,1)}
       279:{2,3,5,7}:{(221,1),(222,1),(237,1),(314,1),(331,1),(333,1),(348,1),(410,1),(435,1),(483,1)}
       280:{2,4,5,6}:{(222,1),(332,1),(333,1),(334,1),(419,1)}
       281:{2,6,7}:{(223,1),(224,1)}
       282:{1,3,5,6,7}:{(224,1),(225,1),(226,1),(331,1),(335,1),(336,1),(425,1),(427,1),(496,1)}
       283:{2,4,6,7}:{(225,1),(333,1),(336,1),(337,1)}
       284:{1,4,5,6,7}:{(226,1),(227,1),(336,1),(338,1),(346,1),(408,1)}
       285:{3,5,6,7}:{(227,1),(337,1),(348,1),(410,1),(425,1)}
       286:{1,3,7}:{(228,1),(231,1),(326,1)}
       287:{1,3,6}:{(229,1),(232,1),(327,1)}
       288:{1,3,5}:{(230,1),(233,1),(328,1),(341,1)}
       289:{1,2,4,6,7}:{(231,1),(232,1),(235,1),(240,1),(329,1),(339,1),(342,1),(428,1),(489,1),(531,1),(548,1)}
       290:{1,2,5,6}:{(232,1),(233,1),(236,1),(330,1),(340,1),(342,1),(484,1)}
       291:{1,2,4,5}:{(233,1),(234,1),(341,1),(344,1),(430,1)}
       292:{1,3,4,6}:{(234,1),(243,1),(344,1),(345,1),(350,1),(549,1),(550,1)}
       293:{1,5,7}:{(235,1),(236,1),(237,1)}
       294:{1,4,5,6}:{(236,1),(238,1),(245,1),(346,1),(347,1)}
       295:{2,4,5,7}:{(237,1),(238,1),(239,1),(247,1),(346,1),(348,1),(435,1)}
       296:{3,5,6}:{(238,1),(248,1),(348,1)}
       297:{1,2,5,6,7}:{(240,1),(241,1),(244,1),(335,1),(342,1),(349,1),(427,1),(435,1)}
       298:{1,2,4,6}:{(241,1),(242,1),(245,1),(350,1),(354,1)}
       299:{1,3,5,7}:{(242,1),(243,1),(344,1),(350,1),(351,1)}
       300:{2,3,4,7}:{(243,1),(345,1),(351,1),(352,1),(497,1),(551,1)}
       301:{1,4,6,7}:{(244,1),(245,1),(247,1),(346,1),(428,1)}
       302:{1,3,4,6}:{(245,1),(246,1),(248,1),(347,1),(350,1),(354,1)}
       303:{2,4,5,7}:{(246,1),(351,1),(354,1),(355,1),(430,1),(435,1),(497,1)}
       304:{3,4,6,7}:{(247,1),(248,1),(348,1),(425,1),(490,1)}
       305:{1,3,6}:{(249,1),(251,1),(272,1),(356,1)}
       306:{1,3,5,7}:{(249,1),(250,1),(252,1),(273,1),(356,1),(357,1),(358,1),(522,1),(547,1)}
       307:{1,3,4,6}:{(250,1),(253,1),(274,1),(357,1),(358,1),(443,1)}
       308:{1,2,4,7}:{(251,1),(255,1),(261,1),(275,1),(356,1)}
       309:{1,2,4,6}:{(252,1),(256,1),(262,1),(276,1),(357,1),(360,1),(400,1),(443,1),(475,1)}
       310:{1,2,5}:{(253,1),(358,1)}
       311:{1,2,4,6}:{(254,1),(264,1),(361,1),(362,1),(443,1),(505,1),(524,1)}
       312:{1,4,6,7}:{(255,1),(256,1),(257,1),(265,1),(363,1)}
       313:{1,5,6}:{(256,1),(258,1),(363,1)}
       314:{2,5,7}:{(257,1),(258,1),(259,1),(363,1)}
       315:{2,4,5,6}:{(258,1),(260,1),(269,1),(364,1),(365,1),(366,1),(450,1)}
       316:{1,4,5,7}:{(259,1),(260,1),(271,1),(365,1),(511,1)}
       317:{1,2,6,7}:{(261,1),(262,1),(265,1),(281,1)}
       318:{1,2,5,6}:{(262,1),(263,1),(266,1),(368,1),(450,1)}
       319:{1,2,4,5,7}:{(263,1),(264,1),(267,1),(361,1),(368,1),(369,1),(373,1)}
       320:{1,3,4,7}:{(264,1),(362,1),(369,1),(370,1),(547,1)}
       321:{1,3,5,6,7}:{(265,1),(266,1),(268,1),(363,1),(367,1),(371,1),(442,1),(449,1),(451,1)}
       322:{1,4,6}:{(266,1),(267,1),(269,1)}
       323:{1,3,4,5,7}:{(267,1),(270,1),(369,1),(372,1),(373,1),(444,1),(449,1),(504,1)}
       324:{2,4,6,7}:{(268,1),(269,1),(271,1),(365,1),(371,1),(374,1),(457,1)}
       325:{3,4,6}:{(269,1),(270,1),(366,1)}
       326:{2,3,7}:{(272,1),(275,1),(286,1),(356,1)}
       327:{2,3,6}:{(273,1),(276,1),(287,1),(357,1)}
       328:{2,3,5}:{(274,1),(288,1),(358,1),(377,1)}
       329:{2,4,6,7}:{(275,1),(276,1),(277,1),(281,1),(375,1),(378,1),(457,1),(519,1),(544,1)}
       330:{2,5,6}:{(276,1),(278,1),(378,1)}
       331:{1,3,5,7}:{(277,1),(278,1),(279,1),(293,1),(363,1),(378,1),(380,1),(460,1),(473,1),(511,1)}
       332:{1,4,5,6}:{(278,1),(280,1),(379,1),(380,1),(387,1),(443,1)}
       333:{2,4,5,7}:{(279,1),(280,1),(283,1),(380,1),(382,1),(457,1)}
       334:{3,4,5,6}:{(280,1),(296,1),(366,1),(382,1),(458,1)}
       335:{2,5,6,7}:{(281,1),(282,1),(378,1),(383,1),(519,1)}
       336:{1,4,6,7}:{(282,1),(283,1),(380,1),(383,1)}
       337:{3,4,6,7}:{(283,1),(285,1),(382,1)}
       338:{1,3,5,6,7}:{(284,1),(285,1),(384,1),(385,1),(393,1),(449,1)}
       339:{1,3,6,7}:{(286,1),(287,1),(289,1),(375,1),(386,1),(552,1)}
       340:{1,3,5,6}:{(287,1),(288,1),(290,1),(376,1),(386,1),(387,1)}
       341:{1,4,5}:{(288,1),(377,1),(387,1)}
       342:{1,2,5,7}:{(289,1),(290,1),(293,1),(378,1),(386,1),(511,1)}
       343:{1,2,4,5,6}:{(290,1),(291,1),(294,1),(298,1),(379,1),(387,1),(389,1),(390,1),(394,1),(463,1),(467,1),(518,1),(540,1)}
       344:{1,3,5}:{(291,1),(292,1),(391,1)}
       345:{2,3,4,6}:{(292,1),(300,1),(391,1),(392,1),(396,1),(467,1),(545,1),(546,1)}
       346:{1,4,5,7}:{(293,1),(294,1),(295,1),(301,1),(393,1)}
       347:{1,3,5,6}:{(294,1),(296,1),(302,1),(393,1),(394,1)}
       348:{3,5,7}:{(295,1),(296,1),(304,1)}
       349:{1,2,4,6,7}:{(297,1),(298,1),(301,1),(383,1),(389,1),(395,1),(399,1),(465,1),(519,1)}
       350:{1,3,6}:{(298,1),(299,1),(396,1)}
       351:{2,3,5,7}:{(299,1),(300,1),(303,1),(391,1),(396,1),(397,1)}
       352:{1,3,4,7}:{(300,1),(392,1),(397,1),(398,1),(520,1),(547,1)}
       353:{1,3,4,6,7}:{(301,1),(302,1),(304,1),(393,1),(395,1),(399,1),(466,1)}
       354:{2,4,6}:{(302,1),(303,1),(394,1),(396,1),(400,1)}
       355:{1,4,5,7}:{(303,1),(397,1),(400,1),(468,1),(473,1),(520,1)}
       356:{1,3,7}:{(305,1),(308,1),(326,1)}
       357:{1,3,6}:{(306,1),(309,1),(327,1)}
       358:{1,3,5}:{(307,1),(310,1),(328,1),(403,1)}
       359:{1,2,4,6,7}:{(308,1),(309,1),(312,1),(317,1),(329,1),(401,1),(404,1),(441,1),(476,1),(503,1),(536,1)}
       360:{1,2,5,6}:{(309,1),(310,1),(313,1),(330,1),(402,1),(404,1),(436,1)}
       361:{1,2,4,5}:{(310,1),(311,1),(403,1),(406,1),(478,1)}
       362:{1,3,4,6}:{(311,1),(320,1),(406,1),(407,1),(412,1),(537,1),(538,1)}
       363:{1,5,7}:{(312,1),(313,1),(314,1)}
       364:{1,4,5,6}:{(313,1),(315,1),(322,1),(408,1),(409,1)}
       365:{2,4,5,7}:{(314,1),(315,1),(316,1),(324,1),(408,1),(410,1),(483,1)}
       366:{3,5,6}:{(315,1),(325,1),(410,1)}
       367:{1,2,5,6,7}:{(317,1),(318,1),(321,1),(335,1),(404,1),(411,1),(427,1),(483,1)}
       368:{1,2,4,6}:{(318,1),(319,1),(322,1),(412,1),(416,1)}
       369:{1,3,5,7}:{(319,1),(320,1),(406,1),(412,1),(413,1)}
       370:{2,3,4,7}:{(320,1),(407,1),(413,1),(414,1),(525,1),(551,1)}
       371:{1,4,6,7}:{(321,1),(322,1),(324,1),(408,1),(476,1)}
       372:{1,3,4,6}:{(322,1),(323,1),(325,1),(409,1),(412,1),(416,1)}
       373:{2,4,5,7}:{(323,1),(413,1),(416,1),(417,1),(478,1),(483,1),(525,1)}
       374:{3,4,6,7}:{(324,1),(325,1),(410,1),(425,1),(490,1)}
       375:{2,3,6,7}:{(326,1),(327,1),(329,1),(339,1),(401,1),(418,1),(425,1),(551,1)}
       376:{2,3,5,6}:{(327,1),(328,1),(330,1),(340,1),(402,1),(418,1),(419,1),(422,1)}
       377:{2,4,5}:{(328,1),(341,1),(403,1),(419,1),(420,1)}
       378:{2,5,7}:{(329,1),(330,1),(331,1)}
       379:{2,4,5,6}:{(330,1),(332,1),(419,1),(421,1),(422,1)}
       380:{1,4,5,7}:{(331,1),(332,1),(333,1),(336,1),(421,1),(428,1),(476,1)}
       381:{1,3,4,5,6}:{(332,1),(334,1),(347,1),(409,1),(422,1),(423,1),(424,1),(429,1),(477,1),(494,1)}
       382:{3,4,5,7}:{(333,1),(334,1),(337,1),(348,1),(410,1),(490,1)}
       383:{2,4,6,7}:{(335,1),(336,1),(421,1),(425,1)}
       384:{1,3,4,6,7}:{(336,1),(337,1),(338,1),(423,1),(425,1),(426,1),(496,1)}
       385:{2,5,6,7}:{(338,1),(426,1),(427,1),(435,1),(483,1)}
       386:{1,3,5,7}:{(339,1),(340,1),(342,1),(418,1),(428,1)}
       387:{1,4,6}:{(340,1),(341,1),(419,1),(428,1)}
       388:{1,3,4,5}:{(341,1),(344,1),(420,1),(429,1),(430,1)}
       389:{1,2,4,5,7}:{(342,1),(343,1),(346,1),(349,1),(421,1),(428,1),(431,1),(435,1),(495,1),(497,1),(535,1),(548,1)}
       390:{1,3,5,6}:{(343,1),(344,1),(350,1),(422,1),(429,1),(431,1),(432,1),(549,1)}
       391:{2,3,5}:{(344,1),(345,1),(430,1),(433,1)}
       392:{1,3,4,6}:{(345,1),(352,1),(433,1),(434,1),(438,1),(498,1),(537,1),(538,1)}
       393:{1,3,5,7}:{(346,1),(347,1),(348,1),(353,1),(435,1)}
       394:{2,5,6}:{(347,1),(354,1),(435,1),(436,1)}
       395:{1,3,6,7}:{(349,1),(350,1),(425,1),(431,1),(437,1)}
       396:{2,3,6}:{(350,1),(351,1),(354,1),(438,1)}
       397:{1,3,5,7}:{(351,1),(352,1),(355,1),(433,1),(438,1),(439,1)}
       398:{1,2,4,7}:{(352,1),(434,1),(439,1),(440,1)}
       399:{2,4,6,7}:{(353,1),(354,1),(435,1),(437,1),(441,1),(497,1)}
       400:{1,4,6}:{(354,1),(355,1),(436,1),(438,1)}
       401:{1,3,6,7}:{(356,1),(357,1),(359,1),(375,1),(442,1),(547,1)}
       402:{1,3,5,6}:{(357,1),(358,1),(360,1),(376,1),(442,1),(443,1)}
       403:{1,4,5}:{(358,1),(377,1),(443,1)}
       404:{1,2,5,7}:{(359,1),(360,1),(363,1),(378,1),(442,1),(473,1)}
       405:{1,2,4,5,6}:{(360,1),(361,1),(364,1),(368,1),(379,1),(443,1),(445,1),(446,1),(450,1),(463,1),(505,1),(518,1),(521,1)}
       406:{1,3,5}:{(361,1),(362,1),(447,1)}
       407:{2,3,4,6}:{(362,1),(370,1),(447,1),(448,1),(452,1),(505,1),(545,1),(546,1)}
       408:{1,4,5,7}:{(363,1),(364,1),(365,1),(371,1),(449,1)}
       409:{1,3,5,6}:{(364,1),(366,1),(372,1),(449,1),(450,1)}
       410:{3,5,7}:{(365,1),(366,1),(374,1)}
       411:{1,2,4,6,7}:{(367,1),(368,1),(371,1),(383,1),(445,1),(451,1),(455,1),(465,1),(519,1)}
       412:{1,3,6}:{(368,1),(369,1),(452,1)}
       413:{2,3,5,7}:{(369,1),(370,1),(373,1),(447,1),(452,1),(453,1)}
       414:{1,3,4,7}:{(370,1),(448,1),(453,1),(454,1),(539,1),(552,1)}
       415:{1,3,4,6,7}:{(371,1),(372,1),(374,1),(449,1),(451,1),(455,1),(504,1)}
       416:{2,4,6}:{(372,1),(373,1),(450,1),(452,1),(456,1)}
       417:{1,4,5,7}:{(373,1),(453,1),(456,1),(506,1),(511,1),(539,1)}
       418:{2,3,5,7}:{(375,1),(376,1),(378,1),(386,1),(442,1),(457,1),(460,1)}
       419:{2,4,6}:{(376,1),(377,1),(387,1),(443,1),(457,1),(458,1)}
       420:{3,4,5}:{(377,1),(458,1)}
       421:{2,4,5,7}:{(378,1),(379,1),(380,1),(383,1),(457,1),(460,1)}
       422:{3,5,6}:{(379,1),(458,1),(460,1)}
       423:{1,3,4,5,7}:{(380,1),(381,1),(382,1),(384,1),(393,1),(449,1),(460,1),(462,1),(466,1),(504,1),(517,1)}
       424:{2,4,5,6}:{(381,1),(394,1),(450,1),(461,1),(462,1),(463,1),(467,1),(505,1),(518,1)}
       425:{3,6,7}:{(383,1),(460,1)}
       426:{2,4,6,7}:{(384,1),(385,1),(462,1),(464,1),(465,1),(519,1)}
       427:{1,5,6,7}:{(385,1),(465,1),(473,1),(511,1)}
       428:{1,4,7}:{(386,1),(387,1),(457,1)}
       429:{1,3,4,6}:{(387,1),(388,1),(390,1),(458,1),(466,1),(467,1)}
       430:{2,4,5}:{(388,1),(391,1),(467,1),(468,1)}
       431:{1,3,5,7}:{(389,1),(390,1),(395,1),(460,1),(466,1),(469,1),(552,1)}
       432:{2,3,5,6}:{(390,1),(391,1),(394,1),(396,1),(467,1),(469,1),(470,1),(518,1),(545,1)}
       433:{1,3,5}:{(391,1),(392,1),(468,1),(471,1)}
       434:{1,2,4,6}:{(392,1),(398,1),(471,1),(472,1),(475,1),(524,1)}
       435:{2,5,7}:{(393,1),(394,1),(399,1),(473,1)}
       436:{1,5,6}:{(394,1),(400,1),(473,1)}
       437:{2,3,6,7}:{(395,1),(396,1),(399,1),(469,1),(474,1),(519,1)}
       438:{1,3,6}:{(396,1),(397,1),(400,1),(475,1)}
       439:{1,2,5,7}:{(397,1),(398,1),(471,1),(475,1)}
       440:{1,2,3,7}:{(398,1),(472,1),(547,1)}
       441:{1,4,6,7}:{(399,1),(400,1),(473,1),(474,1),(520,1)}
       442:{1,3,5,7}:{(401,1),(402,1),(404,1),(418,1),(476,1)}
       443:{1,4,6}:{(402,1),(403,1),(419,1),(476,1)}
       444:{1,3,4,5}:{(403,1),(406,1),(420,1),(477,1),(478,1)}
       445:{1,2,4,5,7}:{(404,1),(405,1),(408,1),(411,1),(421,1),(476,1),(479,1),(483,1),(495,1),(525,1),(535,1),(536,1)}
       446:{1,3,5,6}:{(405,1),(406,1),(412,1),(422,1),(477,1),(479,1),(480,1),(537,1)}
       447:{2,3,5}:{(406,1),(407,1),(478,1),(481,1)}
       448:{1,3,4,6}:{(407,1),(414,1),(481,1),(482,1),(486,1),(526,1),(549,1),(550,1)}
       449:{1,3,5,7}:{(408,1),(409,1),(410,1),(415,1),(483,1)}
       450:{2,5,6}:{(409,1),(416,1),(483,1),(484,1)}
       451:{1,3,6,7}:{(411,1),(412,1),(425,1),(479,1),(485,1)}
       452:{2,3,6}:{(412,1),(413,1),(416,1),(486,1)}
       453:{1,3,5,7}:{(413,1),(414,1),(417,1),(481,1),(486,1),(487,1)}
       454:{1,2,4,7}:{(414,1),(482,1),(487,1),(488,1)}
       455:{2,4,6,7}:{(415,1),(416,1),(483,1),(485,1),(489,1),(525,1)}
       456:{1,4,6}:{(416,1),(417,1),(484,1),(486,1)}
       457:{2,4,7}:{(418,1),(419,1),(428,1),(476,1),(490,1)}
       458:{3,4,6}:{(419,1),(420,1),(422,1),(490,1)}
       459:{2,3,4,5}:{(420,1),(430,1),(478,1),(491,1),(492,1),(534,1)}
       460:{3,5,7}:{(421,1),(422,1),(425,1),(490,1)}
       461:{2,3,5,6}:{(422,1),(424,1),(491,1),(493,1),(494,1)}
       462:{2,4,5,7}:{(423,1),(424,1),(426,1),(435,1),(483,1),(493,1),(495,1),(497,1),(525,1),(535,1)}
       463:{1,4,5,6}:{(424,1),(436,1),(484,1),(494,1),(495,1),(498,1),(526,1)}
       464:{2,3,6,7}:{(425,1),(426,1),(493,1),(496,1)}
       465:{1,4,6,7}:{(426,1),(427,1),(495,1),(496,1)}
       466:{1,3,4,7}:{(428,1),(429,1),(431,1),(490,1),(497,1)}
       467:{2,4,6}:{(429,1),(430,1),(432,1),(497,1),(498,1)}
       468:{1,4,5}:{(430,1),(433,1),(498,1)}
       469:{2,3,5,7}:{(431,1),(432,1),(435,1),(437,1),(497,1),(500,1),(535,1),(551,1)}
       470:{1,3,5,6}:{(432,1),(433,1),(436,1),(438,1),(498,1),(500,1),(501,1),(537,1)}
       471:{1,2,5}:{(433,1),(434,1)}
       472:{1,2,3,6}:{(434,1),(440,1),(502,1),(537,1)}
       473:{1,5,7}:{(435,1),(436,1),(441,1)}
       474:{1,3,6,7}:{(437,1),(438,1),(441,1),(500,1),(503,1)}
       475:{1,2,6}:{(438,1),(439,1)}
       476:{1,4,7}:{(442,1),(443,1),(457,1)}
       477:{1,3,4,6}:{(443,1),(444,1),(446,1),(458,1),(504,1),(505,1)}
       478:{2,4,5}:{(444,1),(447,1),(505,1),(506,1)}
       479:{1,3,5,7}:{(445,1),(446,1),(451,1),(460,1),(504,1),(507,1),(547,1)}
       480:{2,3,5,6}:{(446,1),(447,1),(450,1),(452,1),(505,1),(507,1),(508,1),(518,1),(545,1)}
       481:{1,3,5}:{(447,1),(448,1),(506,1),(509,1)}
       482:{1,2,4,6}:{(448,1),(454,1),(509,1),(510,1),(513,1),(543,1)}
       483:{2,5,7}:{(449,1),(450,1),(455,1),(511,1)}
       484:{1,5,6}:{(450,1),(456,1),(511,1)}
       485:{2,3,6,7}:{(451,1),(452,1),(455,1),(507,1),(512,1),(519,1)}
       486:{1,3,6}:{(452,1),(453,1),(456,1),(513,1)}
       487:{1,2,5,7}:{(453,1),(454,1),(509,1),(513,1)}
       488:{1,2,3,7}:{(454,1),(510,1),(552,1)}
       489:{1,4,6,7}:{(455,1),(456,1),(511,1),(512,1),(539,1)}
       490:{3,4,7}:{(457,1),(458,1),(460,1)}
       491:{2,3,4,6}:{(458,1),(459,1),(461,1),(467,1),(505,1),(514,1),(515,1),(545,1)}
       492:{1,3,4,5}:{(459,1),(468,1),(506,1),(515,1),(516,1),(522,1),(541,1)}
       493:{2,3,5,7}:{(460,1),(461,1),(462,1),(464,1),(514,1),(517,1)}
       494:{1,3,5,6}:{(461,1),(463,1),(515,1),(517,1),(518,1)}
       495:{1,4,5,7}:{(462,1),(463,1),(465,1),(473,1),(511,1),(517,1),(520,1),(539,1)}
       496:{1,3,6,7}:{(464,1),(465,1),(517,1),(519,1)}
       497:{2,4,7}:{(466,1),(467,1),(469,1),(520,1)}
       498:{1,4,6}:{(467,1),(468,1),(470,1),(520,1)}
       499:{1,2,4,5}:{(468,1),(471,1),(516,1),(521,1),(522,1),(524,1)}
       500:{1,3,5,7}:{(469,1),(470,1),(473,1),(474,1),(520,1),(523,1),(547,1)}
       501:{1,2,5,6}:{(470,1),(471,1),(475,1),(518,1),(521,1),(523,1)}
       502:{1,2,3,5}:{(471,1),(472,1),(522,1),(524,1)}
       503:{1,2,6,7}:{(474,1),(475,1),(519,1),(523,1)}
       504:{1,3,4,7}:{(476,1),(477,1),(479,1),(490,1),(525,1)}
       505:{2,4,6}:{(477,1),(478,1),(480,1),(525,1),(526,1)}
       506:{1,4,5}:{(478,1),(481,1),(526,1)}
       507:{2,3,5,7}:{(479,1),(480,1),(483,1),(485,1),(525,1),(528,1),(535,1),(551,1)}
       508:{1,3,5,6}:{(480,1),(481,1),(484,1),(486,1),(526,1),(528,1),(529,1),(549,1)}
       509:{1,2,5}:{(481,1),(482,1)}
       510:{1,2,3,6}:{(482,1),(488,1),(530,1),(549,1)}
       511:{1,5,7}:{(483,1),(484,1),(489,1)}
       512:{1,3,6,7}:{(485,1),(486,1),(489,1),(528,1),(531,1)}
       513:{1,2,6}:{(486,1),(487,1)}
       514:{2,3,4,7}:{(490,1),(491,1),(493,1),(497,1),(525,1),(532,1),(551,1)}
       515:{1,3,4,6}:{(491,1),(492,1),(494,1),(498,1),(526,1),(532,1),(533,1),(537,1),(549,1)}
       516:{2,4,5}:{(492,1),(533,1),(534,1)}
       517:{1,3,5,7}:{(493,1),(494,1),(495,1),(496,1),(532,1),(535,1)}
       518:{2,5,6}:{(494,1),(533,1),(535,1)}
       519:{2,6,7}:{(496,1),(535,1)}
       520:{1,4,7}:{(497,1),(498,1),(500,1)}
       521:{1,2,4,6}:{(498,1),(499,1),(501,1),(533,1),(536,1),(537,1)}
       522:{1,3,5}:{(499,1),(534,1),(537,1),(538,1)}
       523:{1,2,5,7}:{(500,1),(501,1),(503,1),(535,1),(536,1)}
       524:{1,2,4}:{(502,1),(538,1)}
       525:{2,4,7}:{(504,1),(505,1),(507,1),(539,1)}
       526:{1,4,6}:{(505,1),(506,1),(508,1),(539,1)}
       527:{1,2,4,5}:{(506,1),(509,1),(516,1),(540,1),(541,1),(543,1)}
       528:{1,3,5,7}:{(507,1),(508,1),(511,1),(512,1),(539,1),(542,1),(552,1)}
       529:{1,2,5,6}:{(508,1),(509,1),(513,1),(518,1),(540,1),(542,1)}
       530:{1,2,3,5}:{(509,1),(510,1),(541,1),(543,1)}
       531:{1,2,6,7}:{(512,1),(513,1),(519,1),(542,1)}
       532:{1,3,4,7}:{(514,1),(515,1),(517,1),(520,1),(539,1),(544,1),(547,1),(552,1)}
       533:{2,4,6}:{(515,1),(516,1),(518,1),(544,1),(545,1)}
       534:{2,3,5}:{(516,1),(522,1),(541,1),(545,1),(546,1)}
       535:{2,5,7}:{(517,1),(518,1),(519,1),(544,1)}
       536:{1,2,4,7}:{(520,1),(521,1),(523,1),(544,1),(547,1)}
       537:{1,3,6}:{(521,1),(522,1),(545,1),(547,1)}
       538:{1,3,4}:{(522,1),(524,1),(546,1)}
       539:{1,4,7}:{(525,1),(526,1),(528,1)}
       540:{1,2,4,6}:{(526,1),(527,1),(529,1),(533,1),(548,1),(549,1)}
       541:{1,3,5}:{(527,1),(534,1),(549,1),(550,1)}
       542:{1,2,5,7}:{(528,1),(529,1),(531,1),(535,1),(548,1)}
       543:{1,2,4}:{(530,1),(550,1)}
       544:{2,4,7}:{(532,1),(533,1),(535,1),(551,1)}
       545:{2,3,6}:{(533,1),(534,1),(537,1),(549,1),(551,1)}
       546:{2,3,4}:{(534,1),(538,1),(550,1)}
       547:{1,3,7}:{(536,1),(537,1),(551,1)}
       548:{1,2,4,7}:{(539,1),(540,1),(542,1),(544,1),(552,1)}
       549:{1,3,6}:{(540,1),(541,1),(545,1),(552,1)}
       550:{1,3,4}:{(541,1),(543,1),(546,1)}
       551:{2,3,7}:{(544,1),(545,1),(547,1),(552,1)}
       552:{1,3,7}:{(548,1),(549,1),(551,1)}

2353 :   0:{1,2,3,5,7}:{(2,1),(3,1),(20,1),(24,1),(196,1),(200,1),(294,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(32,1),(37,1),(85,1),(163,1),(166,1),(168,1),(179,1),(241,1),(263,1)}
         2:{1,2,3,6}:{(0,1),(10,1),(40,1),(334,1)}
         3:{1,2,4,7}:{(0,1),(7,1),(10,1),(244,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(48,1),(52,1),(136,1),(140,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(20,1),(48,1),(60,1),(65,1),(110,1),(122,1),(139,1),(199,1),(213,1),(215,1),(227,1),(287,1),(308,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(17,1),(56,1),(123,1),(211,1),(228,1),(288,1)}
         7:{1,3,4,7}:{(3,1),(14,1),(19,1),(20,1),(139,1),(290,1)}
         8:{1,2,3,6,7}:{(2,1),(21,1),(22,1),(67,1),(143,1),(200,1),(236,1),(283,1),(365,1),(398,1)}
         9:{1,2,3,5,6}:{(2,1),(21,1),(23,1),(24,1),(66,1),(70,1),(72,1),(143,1),(147,1),(196,1),(283,1),(297,1),(357,1),(363,1),(396,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(19,1),(24,1)}
        11:{1,2,4,5,7}:{(3,1),(15,1),(20,1),(24,1),(25,1),(65,1),(74,1),(139,1),(287,1),(291,1),(294,1),(364,1)}
        12:{1,2,3,6}:{(4,1),(29,1),(77,1),(280,1)}
        13:{1,2,4,7}:{(4,1),(26,1),(29,1),(182,1)}
        14:{2,3,4,7}:{(7,1),(26,1),(31,1),(32,1),(168,1),(260,1)}
        15:{2,4,5,7}:{(5,1),(32,1),(33,1),(85,1),(89,1),(168,1),(261,1),(346,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(34,1),(40,1),(77,1),(98,1),(152,1),(167,1),(275,1),(329,1)}
        17:{2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(255,1),(271,1),(325,1)}
        18:{2,3,4,6,7}:{(6,1),(35,1),(37,1),(87,1),(93,1),(168,1),(259,1),(263,1),(265,1),(276,1),(330,1)}
        19:{1,3,4,6}:{(7,1),(10,1),(31,1),(39,1),(40,1),(98,1)}
        20:{1,3,5,7}:{(7,1),(11,1),(32,1),(39,1),(40,1),(331,1),(385,1)}
        21:{1,2,3,5,7}:{(8,1),(9,1),(41,1),(42,1),(99,1),(101,1),(192,1),(336,1),(385,1),(407,1)}
        22:{1,2,4,6,7}:{(8,1),(10,1),(38,1),(41,1),(42,1),(102,1),(248,1),(276,1),(324,1),(334,1)}
        23:{1,2,4,6}:{(9,1),(41,1),(43,1),(44,1),(98,1),(184,1),(244,1),(406,1)}
        24:{1,2,5}:{(10,1),(39,1)}
        25:{1,2,4,6}:{(11,1),(33,1),(40,1),(45,1),(98,1),(329,1),(334,1)}
        26:{1,3,4,7}:{(13,1),(14,1),(47,1),(48,1),(199,1),(230,1)}
        27:{1,2,3,6,7}:{(12,1),(49,1),(50,1),(112,1),(140,1),(203,1),(223,1),(296,1),(323,1),(379,1)}
        28:{1,2,3,5,6}:{(12,1),(49,1),(51,1),(52,1),(111,1),(115,1),(117,1),(136,1),(203,1),(207,1),(223,1),(237,1),(315,1),(321,1),(377,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(47,1),(52,1)}
        30:{1,2,4,5,7}:{(13,1),(15,1),(48,1),(52,1),(53,1),(110,1),(119,1),(199,1),(227,1),(231,1),(234,1),(322,1)}
        31:{2,3,4,6}:{(14,1),(19,1),(47,1),(55,1),(56,1),(123,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(20,1),(48,1),(55,1),(56,1),(306,1),(373,1)}
        33:{2,4,6}:{(15,1),(16,1),(56,1),(57,1)}
        34:{1,3,5,6}:{(16,1),(17,1),(57,1),(59,1),(60,1),(126,1),(316,1),(358,1)}
        35:{1,3,4,6,7}:{(16,1),(18,1),(58,1),(60,1),(67,1),(112,1),(128,1),(139,1),(199,1),(215,1),(217,1),(308,1),(311,1),(320,1),(362,1)}
        36:{2,4,5,6}:{(17,1),(59,1),(62,1),(63,1),(123,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(60,1),(63,1),(301,1),(317,1),(359,1)}
        38:{1,3,4,6,7}:{(19,1),(22,1),(54,1),(64,1),(67,1),(68,1),(134,1),(139,1),(143,1),(201,1),(295,1),(356,1),(362,1),(398,1),(411,1)}
        39:{1,3,5}:{(19,1),(24,1),(55,1),(65,1)}
        40:{1,3,6}:{(20,1),(25,1),(56,1)}
        41:{1,2,4,7}:{(21,1),(23,1),(68,1),(139,1),(233,1),(411,1)}
        42:{1,2,5,7}:{(22,1),(24,1),(64,1),(70,1),(317,1),(357,1)}
        43:{1,3,4,6}:{(23,1),(68,1),(71,1),(72,1),(143,1),(290,1),(363,1)}
        44:{1,2,4,5}:{(23,1),(24,1),(65,1),(72,1),(137,1),(357,1),(395,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(57,1),(66,1),(74,1),(358,1)}
        46:{1,2,4,6,7}:{(25,1),(58,1),(67,1),(74,1),(139,1),(362,1),(364,1),(365,1)}
        47:{1,3,4,6}:{(26,1),(29,1),(31,1),(76,1),(77,1),(152,1)}
        48:{1,3,5,7}:{(26,1),(30,1),(32,1),(76,1),(77,1),(277,1),(355,1)}
        49:{1,2,3,5,7}:{(27,1),(28,1),(78,1),(79,1),(153,1),(155,1),(254,1),(282,1),(355,1),(394,1)}
        50:{1,2,4,6,7}:{(27,1),(29,1),(75,1),(78,1),(79,1),(156,1),(186,1),(270,1),(280,1),(330,1)}
        51:{1,2,4,6}:{(28,1),(78,1),(80,1),(81,1),(152,1),(182,1),(246,1),(393,1)}
        52:{1,2,5}:{(29,1),(76,1)}
        53:{1,2,4,6}:{(30,1),(33,1),(77,1),(82,1),(152,1),(275,1),(280,1)}
        54:{2,3,4,6,7}:{(31,1),(38,1),(75,1),(84,1),(87,1),(100,1),(154,1),(164,1),(168,1),(188,1),(250,1),(259,1),(276,1),(330,1),(339,1),(391,1),(410,1)}
        55:{2,3,5}:{(31,1),(39,1),(76,1),(85,1)}
        56:{2,3,6}:{(32,1),(33,1),(40,1),(77,1)}
        57:{2,5,6}:{(33,1),(34,1),(89,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(87,1),(89,1),(168,1),(346,1),(349,1)}
        59:{1,4,5,6}:{(34,1),(36,1),(88,1),(92,1),(98,1),(152,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(37,1),(89,1),(92,1),(171,1),(352,1),(382,1)}
        61:{2,3,5,6,7}:{(37,1),(90,1),(93,1),(176,1),(265,1),(268,1)}
        62:{3,4,5,6}:{(36,1),(94,1),(167,1),(255,1)}
        63:{2,4,5,7}:{(36,1),(37,1),(92,1),(93,1),(94,1),(168,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(42,1),(84,1),(95,1),(96,1),(380,1),(382,1)}
        65:{1,4,5}:{(39,1),(85,1),(98,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(45,1),(86,1),(98,1),(99,1)}
        67:{1,3,6,7}:{(40,1),(46,1),(87,1),(99,1),(385,1)}
        68:{1,3,4,7}:{(41,1),(43,1),(100,1),(101,1),(385,1)}
        69:{1,2,4,5,7}:{(41,1),(42,1),(44,1),(95,1),(101,1),(102,1),(179,1)}
        70:{1,2,5,6}:{(42,1),(96,1),(102,1),(271,1),(334,1)}
        71:{2,3,4,6}:{(43,1),(100,1),(105,1),(106,1),(184,1),(188,1),(260,1),(345,1)}
        72:{1,3,5}:{(43,1),(44,1),(106,1)}
        73:{1,2,4,5,6}:{(44,1),(45,1),(88,1),(98,1),(102,1),(107,1),(108,1),(174,1),(177,1),(184,1),(266,1),(271,1),(332,1),(381,1),(386,1),(406,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(89,1),(99,1),(382,1)}
        75:{1,3,4,6,7}:{(47,1),(50,1),(54,1),(109,1),(112,1),(113,1),(141,1),(194,1),(199,1),(203,1),(235,1),(314,1),(320,1),(379,1),(405,1)}
        76:{1,3,5}:{(47,1),(52,1),(55,1),(110,1)}
        77:{1,3,6}:{(48,1),(53,1),(56,1)}
        78:{1,2,4,7}:{(49,1),(51,1),(113,1),(199,1),(293,1),(405,1)}
        79:{1,2,5,7}:{(50,1),(52,1),(109,1),(115,1),(315,1),(359,1)}
        80:{1,3,4,6}:{(51,1),(113,1),(116,1),(117,1),(203,1),(230,1),(321,1)}
        81:{1,2,4,5}:{(51,1),(52,1),(110,1),(117,1),(197,1),(315,1),(376,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(57,1),(111,1),(119,1),(316,1)}
        83:{1,2,4,6,7}:{(53,1),(58,1),(112,1),(119,1),(199,1),(320,1),(322,1),(323,1)}
        84:{2,3,5,7}:{(54,1),(55,1),(64,1),(109,1),(120,1),(121,1),(301,1),(317,1),(359,1),(368,1)}
        85:{2,4,5}:{(55,1),(65,1),(110,1),(122,1),(123,1)}
        86:{2,3,5,6}:{(55,1),(56,1),(57,1),(66,1),(111,1),(123,1),(124,1),(126,1)}
        87:{2,3,6,7}:{(56,1),(58,1),(67,1),(112,1),(124,1),(217,1),(373,1)}
        88:{2,4,5,6}:{(57,1),(59,1),(123,1),(126,1),(127,1)}
        89:{2,5,7}:{(57,1),(58,1),(60,1)}
        90:{1,3,5,6,7}:{(60,1),(61,1),(125,1),(128,1),(217,1),(311,1),(313,1)}
        91:{1,3,4,5,6}:{(59,1),(62,1),(126,1),(129,1),(130,1),(138,1),(198,1),(218,1),(224,1),(284,1),(299,1),(366,1),(400,1)}
        92:{1,4,5,7}:{(59,1),(60,1),(63,1),(127,1),(128,1),(139,1),(199,1)}
        93:{2,4,6,7}:{(61,1),(63,1),(128,1),(132,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(132,1),(215,1),(301,1)}
        95:{1,4,5,7}:{(64,1),(65,1),(120,1),(134,1),(139,1),(395,1),(411,1)}
        96:{1,3,5,6}:{(64,1),(70,1),(121,1),(134,1),(143,1),(295,1),(358,1)}
        97:{1,3,4,5}:{(65,1),(72,1),(122,1),(137,1),(138,1),(395,1),(399,1)}
        98:{1,4,6}:{(65,1),(66,1),(123,1),(139,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(74,1),(124,1),(139,1)}
       100:{2,3,4,7}:{(68,1),(71,1),(141,1),(142,1),(233,1),(373,1)}
       101:{1,3,5,7}:{(68,1),(69,1),(72,1),(142,1),(143,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(134,1),(143,1),(228,1)}
       103:{1,2,5,6,7}:{(70,1),(74,1),(125,1),(135,1),(144,1),(313,1),(317,1),(365,1),(375,1),(397,1)}
       104:{1,2,3,6}:{(136,1),(140,1),(145,1),(321,1)}
       105:{1,3,4,6}:{(71,1),(141,1),(145,1),(146,1),(230,1),(232,1),(235,1),(321,1)}
       106:{2,3,5}:{(71,1),(72,1),(137,1),(146,1)}
       107:{1,3,5,6}:{(72,1),(73,1),(126,1),(138,1),(143,1),(147,1),(148,1),(363,1),(400,1)}
       108:{1,2,4,5,7}:{(73,1),(74,1),(127,1),(139,1),(144,1),(148,1),(222,1),(225,1),(233,1),(312,1),(317,1),(364,1),(397,1),(401,1),(411,1)}
       109:{1,3,5,7}:{(75,1),(76,1),(79,1),(84,1),(149,1),(150,1),(350,1),(352,1)}
       110:{1,4,5}:{(76,1),(85,1),(152,1)}
       111:{1,3,5,6}:{(76,1),(77,1),(82,1),(86,1),(152,1),(153,1)}
       112:{1,3,6,7}:{(77,1),(83,1),(87,1),(153,1),(355,1)}
       113:{1,3,4,7}:{(78,1),(80,1),(154,1),(155,1),(355,1)}
       114:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(149,1),(155,1),(156,1),(241,1)}
       115:{1,2,5,6}:{(79,1),(150,1),(156,1),(280,1),(325,1)}
       116:{2,3,4,6}:{(80,1),(154,1),(159,1),(160,1),(246,1),(250,1),(260,1),(345,1)}
       117:{1,3,5}:{(80,1),(81,1),(160,1)}
       118:{1,2,4,5,6}:{(81,1),(82,1),(88,1),(152,1),(156,1),(161,1),(162,1),(174,1),(239,1),(246,1),(266,1),(278,1),(325,1),(351,1),(386,1),(393,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(89,1),(153,1),(352,1)}
       120:{2,4,5,7}:{(84,1),(85,1),(95,1),(149,1),(163,1),(164,1),(168,1),(388,1),(410,1)}
       121:{2,3,5,6}:{(84,1),(96,1),(150,1),(164,1),(188,1),(250,1),(255,1),(271,1),(325,1)}
       122:{3,4,5}:{(85,1),(167,1)}
       123:{2,4,6}:{(85,1),(86,1),(98,1),(152,1),(167,1),(168,1)}
       124:{2,3,5,7}:{(86,1),(87,1),(89,1),(99,1),(153,1),(168,1),(171,1)}
       125:{2,5,6,7}:{(89,1),(90,1),(169,1),(349,1)}
       126:{3,5,6}:{(88,1),(167,1),(171,1)}
       127:{2,4,5,7}:{(88,1),(89,1),(92,1),(168,1),(169,1),(171,1)}
       128:{1,4,6,7}:{(90,1),(92,1),(93,1),(169,1)}
       129:{2,4,5,6}:{(91,1),(170,1),(174,1),(175,1),(184,1),(246,1),(266,1),(271,1),(325,1)}
       130:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(171,1),(173,1),(175,1),(185,1),(247,1),(267,1),(272,1),(326,1),(338,1),(387,1),(409,1)}
       131:{2,4,5,6,7}:{(93,1),(172,1),(176,1),(256,1),(268,1),(392,1)}
       132:{3,4,6,7}:{(93,1),(94,1),(176,1)}
       133:{1,3,4,5,7}:{(95,1),(97,1),(101,1),(163,1),(179,1),(180,1),(185,1),(272,1)}
       134:{1,4,6}:{(95,1),(96,1),(164,1)}
       135:{1,3,5,6,7}:{(96,1),(99,1),(103,1),(165,1),(181,1),(189,1),(272,1),(335,1),(382,1),(407,1)}
       136:{1,2,3,5}:{(104,1),(182,1),(190,1),(277,1)}
       137:{2,4,5}:{(97,1),(106,1),(183,1),(184,1)}
       138:{1,3,4,6}:{(97,1),(98,1),(107,1),(167,1),(184,1),(185,1),(406,1),(408,1)}
       139:{1,4,7}:{(98,1),(99,1),(168,1)}
       140:{1,2,3,7}:{(104,1),(186,1),(355,1)}
       141:{1,3,4,7}:{(100,1),(105,1),(186,1),(187,1),(279,1),(355,1)}
       142:{2,3,5,7}:{(100,1),(101,1),(106,1),(179,1),(187,1),(188,1)}
       143:{1,3,6}:{(101,1),(102,1),(188,1)}
       144:{1,2,4,6,7}:{(102,1),(103,1),(108,1),(169,1),(181,1),(189,1),(269,1),(276,1),(349,1),(392,1)}
       145:{1,2,4,6}:{(104,1),(105,1),(182,1),(186,1),(190,1),(280,1)}
       146:{1,3,5}:{(105,1),(106,1),(183,1),(190,1)}
       147:{2,3,5,6}:{(106,1),(107,1),(184,1),(188,1),(191,1),(192,1),(266,1),(271,1),(345,1)}
       148:{1,3,5,7}:{(107,1),(108,1),(171,1),(185,1),(189,1),(192,1),(385,1),(409,1)}
       149:{1,4,5,7}:{(109,1),(110,1),(120,1),(194,1),(199,1),(376,1),(405,1)}
       150:{1,3,5,6}:{(109,1),(115,1),(121,1),(194,1),(203,1),(235,1),(316,1)}
       151:{1,3,4,5}:{(110,1),(117,1),(122,1),(197,1),(198,1),(376,1),(399,1)}
       152:{1,4,6}:{(110,1),(111,1),(123,1),(199,1)}
       153:{1,3,5,7}:{(111,1),(112,1),(119,1),(124,1),(199,1)}
       154:{2,3,4,7}:{(113,1),(116,1),(201,1),(202,1),(293,1),(373,1)}
       155:{1,3,5,7}:{(113,1),(114,1),(117,1),(202,1),(203,1)}
       156:{1,2,4,6}:{(114,1),(115,1),(194,1),(203,1),(288,1)}
       157:{1,2,5,6,7}:{(115,1),(119,1),(125,1),(195,1),(204,1),(313,1),(323,1),(359,1),(375,1),(378,1)}
       158:{1,2,3,6}:{(196,1),(200,1),(205,1),(363,1)}
       159:{1,3,4,6}:{(116,1),(201,1),(205,1),(206,1),(290,1),(292,1),(295,1),(363,1)}
       160:{2,3,5}:{(116,1),(117,1),(197,1),(206,1)}
       161:{1,3,5,6}:{(117,1),(118,1),(126,1),(198,1),(203,1),(207,1),(208,1),(321,1),(400,1)}
       162:{1,2,4,5,7}:{(118,1),(119,1),(127,1),(199,1),(204,1),(208,1),(222,1),(285,1),(293,1),(312,1),(322,1),(359,1),(378,1),(401,1),(405,1)}
       163:{3,4,5,7}:{(120,1),(122,1),(211,1),(215,1),(301,1),(399,1),(412,1)}
       164:{2,4,6}:{(120,1),(121,1),(134,1),(194,1),(211,1)}
       165:{2,3,5,6,7}:{(121,1),(124,1),(125,1),(135,1),(195,1),(212,1),(217,1),(236,1),(296,1),(301,1),(317,1),(359,1),(375,1),(403,1),(404,1)}
       166:{2,3,4,5}:{(122,1),(137,1),(197,1),(213,1),(214,1),(306,1),(399,1)}
       167:{3,4,6}:{(122,1),(123,1),(126,1),(215,1)}
       168:{2,4,7}:{(123,1),(124,1),(139,1),(199,1),(215,1)}
       169:{2,4,6,7}:{(125,1),(127,1),(128,1),(217,1)}
       170:{2,3,5,6}:{(126,1),(129,1),(214,1),(218,1),(219,1),(400,1)}
       171:{3,5,7}:{(126,1),(127,1),(215,1),(217,1)}
       172:{1,4,5,6,7}:{(128,1),(131,1),(216,1),(220,1),(225,1),(285,1),(313,1),(374,1)}
       173:{1,3,4,6,7}:{(128,1),(130,1),(132,1),(217,1),(220,1),(221,1),(309,1),(311,1),(374,1),(404,1)}
       174:{1,4,5,6}:{(129,1),(218,1),(222,1),(232,1),(292,1),(316,1),(358,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(219,1),(221,1),(222,1),(233,1),(293,1),(312,1),(317,1),(359,1)}
       176:{3,5,6,7}:{(131,1),(132,1),(301,1),(404,1)}
       177:{1,4,5,6}:{(134,1),(209,1),(224,1),(225,1),(358,1)}
       178:{1,2,3,5,7}:{(136,1),(140,1),(223,1),(226,1),(234,1),(315,1),(318,1)}
       179:{2,4,5,7}:{(133,1),(137,1),(142,1),(227,1),(228,1),(233,1),(317,1)}
       180:{1,3,4,6}:{(133,1),(134,1),(143,1),(211,1),(224,1),(228,1)}
       181:{1,4,6,7}:{(134,1),(135,1),(139,1),(212,1),(225,1),(411,1)}
       182:{1,2,4}:{(136,1),(230,1)}
       183:{1,4,5}:{(137,1),(146,1),(232,1)}
       184:{2,4,6}:{(137,1),(138,1),(147,1),(232,1),(233,1)}
       185:{1,3,4,7}:{(138,1),(139,1),(148,1),(215,1),(233,1),(411,1),(412,1)}
       186:{1,2,4,7}:{(140,1),(141,1),(145,1),(234,1)}
       187:{1,3,5,7}:{(141,1),(142,1),(146,1),(227,1),(234,1),(235,1)}
       188:{2,3,6}:{(142,1),(143,1),(228,1),(235,1)}
       189:{1,3,6,7}:{(143,1),(144,1),(148,1),(217,1),(236,1),(404,1)}
       190:{1,2,5}:{(145,1),(146,1)}
       191:{1,3,5,6}:{(146,1),(147,1),(232,1),(235,1),(237,1),(238,1),(316,1),(321,1)}
       192:{2,3,5,7}:{(147,1),(148,1),(233,1),(236,1),(238,1),(312,1),(317,1),(373,1)}
       193:{1,3,4,5,7}:{(149,1),(151,1),(155,1),(163,1),(241,1),(242,1),(247,1),(326,1)}
       194:{1,4,6}:{(149,1),(150,1),(164,1)}
       195:{1,3,5,6,7}:{(150,1),(153,1),(157,1),(165,1),(243,1),(251,1),(281,1),(326,1),(352,1),(394,1)}
       196:{1,2,3,5}:{(158,1),(244,1),(252,1),(331,1)}
       197:{2,4,5}:{(151,1),(160,1),(245,1),(246,1)}
       198:{1,3,4,6}:{(151,1),(152,1),(161,1),(167,1),(246,1),(247,1),(393,1),(408,1)}
       199:{1,4,7}:{(152,1),(153,1),(168,1)}
       200:{1,2,3,7}:{(158,1),(248,1),(385,1)}
       201:{1,3,4,7}:{(154,1),(159,1),(248,1),(249,1),(333,1),(385,1)}
       202:{2,3,5,7}:{(154,1),(155,1),(160,1),(241,1),(249,1),(250,1)}
       203:{1,3,6}:{(155,1),(156,1),(250,1)}
       204:{1,2,4,6,7}:{(156,1),(157,1),(162,1),(169,1),(243,1),(251,1),(269,1),(330,1),(349,1),(392,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(244,1),(248,1),(252,1),(334,1)}
       206:{1,3,5}:{(159,1),(160,1),(245,1),(252,1)}
       207:{2,3,5,6}:{(160,1),(161,1),(246,1),(250,1),(253,1),(254,1),(266,1),(325,1),(345,1)}
       208:{1,3,5,7}:{(161,1),(162,1),(171,1),(247,1),(251,1),(254,1),(355,1),(409,1)}
       209:{2,4,5,6}:{(164,1),(177,1),(239,1),(255,1),(256,1),(271,1),(325,1)}
       210:{2,3,4,5,7}:{(163,1),(166,1),(179,1),(241,1),(257,1),(258,1),(263,1),(341,1),(342,1),(388,1),(410,1)}
       211:{3,4,6}:{(163,1),(164,1),(255,1)}
       212:{2,4,6,7}:{(164,1),(165,1),(168,1),(181,1),(243,1),(256,1),(259,1),(410,1)}
       213:{1,3,4,5}:{(166,1),(183,1),(245,1),(261,1),(262,1),(277,1),(331,1)}
       214:{2,3,4,6}:{(166,1),(167,1),(170,1),(184,1),(246,1),(262,1),(263,1),(345,1),(408,1)}
       215:{3,4,7}:{(167,1),(168,1),(171,1)}
       216:{2,4,5,6,7}:{(169,1),(172,1),(256,1),(264,1),(268,1),(347,1)}
       217:{3,6,7}:{(169,1),(171,1)}
       218:{1,3,5,6}:{(170,1),(174,1),(262,1),(266,1),(267,1)}
       219:{2,3,5,7}:{(170,1),(171,1),(175,1),(263,1),(265,1),(267,1),(409,1)}
       220:{1,3,5,6,7}:{(172,1),(173,1),(176,1),(264,1),(268,1),(272,1),(326,1)}
       221:{2,4,6,7}:{(173,1),(175,1),(265,1),(268,1),(269,1),(349,1)}
       222:{1,4,5,7}:{(174,1),(175,1),(267,1),(269,1),(279,1),(333,1),(352,1),(382,1)}
       223:{1,2,3,6}:{(178,1),(270,1),(280,1),(353,1)}
       224:{1,3,5,6}:{(177,1),(180,1),(255,1),(271,1),(272,1)}
       225:{1,4,5,7}:{(177,1),(181,1),(256,1),(272,1),(382,1)}
       226:{1,2,4,7}:{(178,1),(182,1),(270,1),(273,1)}
       227:{1,4,5,7}:{(179,1),(183,1),(187,1),(275,1),(279,1),(352,1)}
       228:{2,4,6}:{(179,1),(180,1),(188,1),(271,1),(275,1)}
       229:{1,3,4,6,7}:{(180,1),(181,1),(185,1),(189,1),(259,1),(272,1),(276,1)}
       230:{1,3,4}:{(182,1),(260,1),(277,1)}
       231:{1,2,4,5}:{(182,1),(183,1),(190,1),(261,1),(277,1),(278,1)}
       232:{1,4,6}:{(183,1),(184,1),(191,1),(279,1)}
       233:{2,4,7}:{(184,1),(185,1),(192,1),(279,1)}
       234:{1,2,5,7}:{(186,1),(187,1),(190,1),(280,1)}
       235:{1,3,6}:{(187,1),(188,1),(275,1),(280,1)}
       236:{2,3,6,7}:{(188,1),(189,1),(192,1),(276,1),(281,1),(349,1)}
       237:{1,2,5,6}:{(190,1),(191,1),(266,1),(278,1),(280,1),(282,1)}
       238:{1,3,5,7}:{(191,1),(192,1),(279,1),(281,1),(282,1),(352,1),(355,1)}
       239:{1,4,5,6}:{(194,1),(209,1),(284,1),(285,1),(316,1)}
       240:{1,2,3,5,7}:{(196,1),(200,1),(283,1),(286,1),(294,1),(357,1),(360,1)}
       241:{2,4,5,7}:{(193,1),(197,1),(202,1),(287,1),(288,1),(293,1),(359,1)}
       242:{1,3,4,6}:{(193,1),(194,1),(203,1),(211,1),(284,1),(288,1)}
       243:{1,4,6,7}:{(194,1),(195,1),(199,1),(212,1),(285,1),(405,1)}
       244:{1,2,4}:{(196,1),(290,1)}
       245:{1,4,5}:{(197,1),(206,1),(292,1)}
       246:{2,4,6}:{(197,1),(198,1),(207,1),(292,1),(293,1)}
       247:{1,3,4,7}:{(198,1),(199,1),(208,1),(215,1),(293,1),(405,1),(412,1)}
       248:{1,2,4,7}:{(200,1),(201,1),(205,1),(294,1)}
       249:{1,3,5,7}:{(201,1),(202,1),(206,1),(287,1),(294,1),(295,1)}
       250:{2,3,6}:{(202,1),(203,1),(288,1),(295,1)}
       251:{1,3,6,7}:{(203,1),(204,1),(208,1),(217,1),(296,1),(404,1)}
       252:{1,2,5}:{(205,1),(206,1)}
       253:{1,3,5,6}:{(206,1),(207,1),(292,1),(295,1),(297,1),(298,1),(358,1),(363,1)}
       254:{2,3,5,7}:{(207,1),(208,1),(293,1),(296,1),(298,1),(312,1),(359,1),(373,1)}
       255:{3,5,6}:{(209,1),(211,1),(301,1)}
       256:{2,4,5,7}:{(209,1),(212,1),(225,1),(285,1),(301,1),(317,1),(359,1)}
       257:{1,3,4,5,7}:{(210,1),(213,1),(227,1),(287,1),(303,1),(304,1),(308,1),(318,1),(360,1),(370,1),(376,1),(395,1),(399,1),(405,1),(411,1),(412,1)}
       258:{2,3,4,6}:{(210,1),(211,1),(228,1),(288,1),(300,1),(304,1),(371,1),(402,1)}
       259:{3,4,6,7}:{(211,1),(212,1),(215,1),(217,1),(301,1),(404,1),(412,1)}
       260:{2,3,4}:{(230,1),(290,1),(306,1)}
       261:{2,4,5}:{(213,1),(306,1),(307,1)}
       262:{1,3,4,6}:{(213,1),(214,1),(218,1),(232,1),(292,1),(307,1),(308,1),(321,1),(363,1)}
       263:{2,3,4,7}:{(214,1),(215,1),(219,1),(233,1),(293,1),(308,1),(373,1),(412,1)}
       264:{3,5,6,7}:{(216,1),(217,1),(301,1),(309,1)}
       265:{2,3,6,7}:{(217,1),(219,1),(221,1),(311,1),(404,1)}
       266:{2,5,6}:{(218,1),(307,1),(312,1)}
       267:{1,3,5,7}:{(218,1),(219,1),(222,1),(308,1),(311,1),(312,1)}
       268:{2,5,6,7}:{(220,1),(221,1),(313,1),(317,1),(359,1)}
       269:{1,4,6,7}:{(221,1),(222,1),(311,1),(313,1)}
       270:{1,2,4,6}:{(223,1),(226,1),(314,1),(315,1)}
       271:{2,5,6}:{(224,1),(228,1),(316,1),(317,1)}
       272:{1,3,5,7}:{(224,1),(225,1),(229,1),(301,1),(317,1)}
       273:{1,3,4,7}:{(226,1),(230,1),(302,1),(314,1),(318,1),(405,1)}
       274:{1,2,4,5,7}:{(226,1),(227,1),(231,1),(234,1),(303,1),(315,1),(318,1),(319,1),(322,1),(376,1),(378,1),(405,1)}
       275:{1,4,6}:{(227,1),(228,1),(235,1),(316,1)}
       276:{2,4,6,7}:{(228,1),(229,1),(233,1),(236,1),(317,1),(320,1)}
       277:{1,3,5}:{(230,1),(231,1),(306,1),(321,1)}
       278:{1,2,4,6}:{(231,1),(232,1),(237,1),(307,1),(321,1),(322,1)}
       279:{1,4,7}:{(232,1),(233,1),(238,1)}
       280:{1,2,6}:{(234,1),(235,1)}
       281:{1,3,6,7}:{(235,1),(236,1),(238,1),(320,1),(323,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(312,1),(322,1),(323,1)}
       283:{1,2,3,6}:{(240,1),(324,1),(334,1),(383,1)}
       284:{1,3,5,6}:{(239,1),(242,1),(255,1),(325,1),(326,1)}
       285:{1,4,5,7}:{(239,1),(243,1),(256,1),(326,1),(352,1)}
       286:{1,2,4,7}:{(240,1),(244,1),(324,1),(327,1)}
       287:{1,4,5,7}:{(241,1),(245,1),(249,1),(329,1),(333,1),(382,1)}
       288:{2,4,6}:{(241,1),(242,1),(250,1),(325,1),(329,1)}
       289:{1,3,4,6,7}:{(242,1),(243,1),(247,1),(251,1),(259,1),(326,1),(330,1)}
       290:{1,3,4}:{(244,1),(260,1),(331,1)}
       291:{1,2,4,5}:{(244,1),(245,1),(252,1),(261,1),(331,1),(332,1)}
       292:{1,4,6}:{(245,1),(246,1),(253,1),(333,1)}
       293:{2,4,7}:{(246,1),(247,1),(254,1),(333,1)}
       294:{1,2,5,7}:{(248,1),(249,1),(252,1),(334,1)}
       295:{1,3,6}:{(249,1),(250,1),(329,1),(334,1)}
       296:{2,3,6,7}:{(250,1),(251,1),(254,1),(330,1),(335,1),(349,1)}
       297:{1,2,5,6}:{(252,1),(253,1),(266,1),(332,1),(334,1),(336,1)}
       298:{1,3,5,7}:{(253,1),(254,1),(333,1),(335,1),(336,1),(382,1),(385,1)}
       299:{3,4,5,6}:{(255,1),(337,1),(338,1),(408,1)}
       300:{2,3,5,6}:{(255,1),(258,1),(271,1),(325,1),(337,1),(340,1),(341,1)}
       301:{3,5,7}:{(255,1),(256,1),(259,1)}
       302:{2,3,4,7}:{(260,1),(273,1),(327,1),(339,1),(342,1),(410,1)}
       303:{2,4,5,7}:{(257,1),(261,1),(342,1),(343,1),(346,1),(388,1),(390,1),(410,1)}
       304:{1,3,4,6}:{(257,1),(258,1),(275,1),(329,1),(340,1),(343,1),(353,1),(383,1),(393,1),(406,1),(408,1)}
       305:{2,3,4,6,7}:{(258,1),(259,1),(263,1),(265,1),(276,1),(330,1),(341,1),(344,1),(347,1),(391,1),(410,1)}
       306:{2,3,5}:{(260,1),(261,1),(277,1),(331,1),(345,1)}
       307:{2,4,6}:{(261,1),(262,1),(266,1),(345,1),(346,1)}
       308:{1,3,4,7}:{(262,1),(263,1),(267,1),(279,1),(333,1),(346,1),(355,1),(385,1)}
       309:{3,4,6,7}:{(264,1),(338,1),(347,1)}
       310:{2,3,5,6,7}:{(264,1),(265,1),(268,1),(341,1),(347,1),(348,1)}
       311:{1,3,6,7}:{(265,1),(267,1),(269,1),(349,1)}
       312:{2,5,7}:{(266,1),(267,1),(346,1),(349,1)}
       313:{1,5,6,7}:{(268,1),(269,1),(352,1),(382,1)}
       314:{1,3,4,6}:{(270,1),(273,1),(339,1),(350,1),(353,1),(393,1)}
       315:{1,2,5}:{(270,1),(350,1)}
       316:{1,5,6}:{(271,1),(275,1),(352,1)}
       317:{2,5,7}:{(271,1),(272,1),(276,1),(352,1)}
       318:{1,3,5,7}:{(273,1),(274,1),(277,1),(342,1),(350,1),(353,1),(355,1)}
       319:{1,2,4,6}:{(274,1),(275,1),(280,1),(343,1),(351,1),(353,1),(393,1)}
       320:{1,4,6,7}:{(275,1),(276,1),(279,1),(281,1),(352,1)}
       321:{1,3,6}:{(277,1),(278,1),(345,1),(355,1)}
       322:{1,2,4,7}:{(278,1),(279,1),(282,1),(346,1),(355,1)}
       323:{1,2,6,7}:{(280,1),(281,1),(282,1),(349,1)}
       324:{1,2,4,6}:{(283,1),(286,1),(356,1),(357,1)}
       325:{2,5,6}:{(284,1),(288,1),(358,1),(359,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(301,1),(359,1)}
       327:{1,3,4,7}:{(286,1),(290,1),(302,1),(356,1),(360,1),(411,1)}
       328:{1,2,4,5,7}:{(286,1),(287,1),(291,1),(294,1),(303,1),(357,1),(360,1),(361,1),(364,1),(395,1),(397,1),(411,1)}
       329:{1,4,6}:{(287,1),(288,1),(295,1),(358,1)}
       330:{2,4,6,7}:{(288,1),(289,1),(293,1),(296,1),(359,1),(362,1)}
       331:{1,3,5}:{(290,1),(291,1),(306,1),(363,1)}
       332:{1,2,4,6}:{(291,1),(292,1),(297,1),(307,1),(363,1),(364,1)}
       333:{1,4,7}:{(292,1),(293,1),(298,1)}
       334:{1,2,6}:{(294,1),(295,1)}
       335:{1,3,6,7}:{(295,1),(296,1),(298,1),(362,1),(365,1)}
       336:{1,2,5,7}:{(297,1),(298,1),(312,1),(364,1),(365,1)}
       337:{2,4,5,6}:{(299,1),(300,1),(366,1),(367,1),(402,1)}
       338:{3,4,5,7}:{(299,1),(301,1),(309,1),(367,1),(412,1)}
       339:{2,3,4,6}:{(302,1),(314,1),(356,1),(368,1),(371,1),(402,1)}
       340:{1,3,5,6}:{(300,1),(304,1),(316,1),(358,1),(366,1),(369,1),(370,1),(400,1)}
       341:{2,3,5,7}:{(300,1),(301,1),(305,1),(317,1),(359,1),(367,1),(370,1)}
       342:{2,3,5,7}:{(302,1),(303,1),(306,1),(318,1),(360,1),(368,1),(371,1),(373,1)}
       343:{2,4,6}:{(303,1),(304,1),(369,1),(371,1)}
       344:{1,3,4,6,7}:{(304,1),(305,1),(308,1),(311,1),(320,1),(362,1),(370,1),(372,1),(374,1),(379,1),(398,1),(404,1),(405,1),(411,1),(412,1)}
       345:{2,3,6}:{(306,1),(307,1),(321,1),(363,1),(373,1)}
       346:{2,4,7}:{(307,1),(308,1),(312,1),(373,1)}
       347:{2,4,6,7}:{(309,1),(310,1),(367,1),(374,1)}
       348:{1,3,5,6,7}:{(310,1),(311,1),(313,1),(370,1),(374,1),(375,1),(404,1)}
       349:{2,6,7}:{(311,1),(312,1)}
       350:{1,3,5}:{(314,1),(315,1),(368,1),(376,1)}
       351:{1,2,5,6}:{(315,1),(316,1),(319,1),(369,1),(377,1),(378,1)}
       352:{1,5,7}:{(316,1),(317,1),(320,1)}
       353:{1,3,6}:{(318,1),(319,1),(371,1)}
       354:{1,2,4,6,7}:{(319,1),(320,1),(322,1),(323,1),(372,1),(378,1),(379,1),(405,1)}
       355:{1,3,7}:{(321,1),(322,1),(373,1)}
       356:{1,3,4,6}:{(324,1),(327,1),(339,1),(380,1),(383,1),(406,1)}
       357:{1,2,5}:{(324,1),(380,1)}
       358:{1,5,6}:{(325,1),(329,1),(382,1)}
       359:{2,5,7}:{(325,1),(326,1),(330,1),(382,1)}
       360:{1,3,5,7}:{(327,1),(328,1),(331,1),(342,1),(380,1),(383,1),(385,1)}
       361:{1,2,4,6}:{(328,1),(329,1),(334,1),(343,1),(381,1),(383,1),(406,1)}
       362:{1,4,6,7}:{(329,1),(330,1),(333,1),(335,1),(382,1)}
       363:{1,3,6}:{(331,1),(332,1),(345,1),(385,1)}
       364:{1,2,4,7}:{(332,1),(333,1),(336,1),(346,1),(385,1)}
       365:{1,2,6,7}:{(334,1),(335,1),(336,1),(349,1)}
       366:{1,4,5,6}:{(337,1),(340,1),(386,1),(387,1),(393,1),(406,1)}
       367:{2,4,5,7}:{(337,1),(338,1),(341,1),(347,1),(387,1),(410,1)}
       368:{2,3,5}:{(339,1),(350,1),(380,1),(388,1)}
       369:{2,5,6}:{(340,1),(343,1),(390,1)}
       370:{1,3,5,7}:{(340,1),(341,1),(344,1),(352,1),(382,1),(387,1),(390,1),(409,1)}
       371:{2,3,6}:{(342,1),(343,1),(353,1),(383,1)}
       372:{2,4,6,7}:{(343,1),(344,1),(346,1),(349,1),(390,1),(391,1),(410,1)}
       373:{2,3,7}:{(345,1),(346,1),(355,1),(385,1)}
       374:{1,4,6,7}:{(347,1),(348,1),(387,1),(392,1)}
       375:{2,5,6,7}:{(348,1),(349,1),(390,1),(392,1)}
       376:{1,4,5}:{(350,1),(388,1),(393,1)}
       377:{1,3,5,6}:{(350,1),(351,1),(353,1),(389,1),(393,1),(394,1)}
       378:{1,2,5,7}:{(351,1),(352,1),(354,1),(390,1),(394,1)}
       379:{1,3,6,7}:{(353,1),(354,1),(355,1),(391,1),(394,1)}
       380:{1,3,5}:{(356,1),(357,1),(368,1),(395,1)}
       381:{1,2,5,6}:{(357,1),(358,1),(361,1),(369,1),(396,1),(397,1)}
       382:{1,5,7}:{(358,1),(359,1),(362,1)}
       383:{1,3,6}:{(360,1),(361,1),(371,1)}
       384:{1,2,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(372,1),(397,1),(398,1),(411,1)}
       385:{1,3,7}:{(363,1),(364,1),(373,1)}
       386:{2,4,5,6}:{(366,1),(369,1),(400,1),(401,1),(402,1)}
       387:{1,4,5,7}:{(366,1),(367,1),(370,1),(374,1),(401,1),(405,1),(411,1)}
       388:{2,4,5}:{(368,1),(376,1),(395,1),(399,1),(402,1)}
       389:{2,3,5,6}:{(368,1),(369,1),(371,1),(377,1),(396,1),(400,1),(402,1),(403,1)}
       390:{2,5,7}:{(369,1),(370,1),(372,1)}
       391:{2,3,6,7}:{(371,1),(372,1),(373,1),(379,1),(398,1),(403,1),(404,1)}
       392:{2,4,6,7}:{(374,1),(375,1),(401,1),(404,1)}
       393:{1,4,6}:{(376,1),(377,1),(402,1),(405,1)}
       394:{1,3,5,7}:{(377,1),(378,1),(379,1),(403,1),(405,1)}
       395:{1,4,5}:{(380,1),(388,1),(406,1)}
       396:{1,3,5,6}:{(380,1),(381,1),(383,1),(389,1),(406,1),(407,1)}
       397:{1,2,5,7}:{(381,1),(382,1),(384,1),(390,1),(407,1)}
       398:{1,3,6,7}:{(383,1),(384,1),(385,1),(391,1),(407,1)}
       399:{3,4,5}:{(388,1),(408,1)}
       400:{3,5,6}:{(386,1),(408,1),(409,1)}
       401:{2,4,5,7}:{(386,1),(387,1),(390,1),(392,1),(409,1),(410,1)}
       402:{2,4,6}:{(388,1),(389,1),(393,1),(406,1),(408,1),(410,1)}
       403:{2,3,5,7}:{(389,1),(390,1),(391,1),(394,1),(407,1),(409,1),(410,1)}
       404:{3,6,7}:{(392,1),(409,1)}
       405:{1,4,7}:{(393,1),(394,1),(410,1)}
       406:{1,4,6}:{(395,1),(396,1),(402,1),(411,1)}
       407:{1,3,5,7}:{(396,1),(397,1),(398,1),(403,1),(411,1)}
       408:{3,4,6}:{(399,1),(400,1),(402,1),(412,1)}
       409:{3,5,7}:{(400,1),(401,1),(404,1),(412,1)}
       410:{2,4,7}:{(402,1),(403,1),(405,1),(411,1),(412,1)}
       411:{1,4,7}:{(406,1),(407,1),(410,1)}
       412:{3,4,7}:{(408,1),(409,1),(410,1)}

2354 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2355 :   0:{1,2,3,5,7}:{(2,1),(3,1),(21,1),(24,1),(280,1),(281,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(89,1),(163,1),(166,1),(168,1),(176,1),(234,1),(255,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(10,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(41,1),(319,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(52,1),(223,1),(224,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(21,1),(49,1),(60,1),(70,1),(114,1),(127,1),(139,1),(195,1),(210,1),(212,1),(220,1),(277,1),(298,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(56,1),(126,1),(206,1),(219,1),(276,1)}
         7:{1,2,3,6,7}:{(3,1),(19,1),(20,1),(68,1),(136,1),(221,1),(281,1),(351,1),(352,1),(391,1)}
         8:{1,3,4,7}:{(2,1),(14,1),(21,1),(22,1),(139,1),(356,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(21,1),(23,1),(24,1),(70,1),(71,1),(139,1),(277,1),(280,1),(284,1),(354,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(22,1),(24,1)}
        11:{1,2,3,5,6}:{(3,1),(20,1),(24,1),(25,1),(65,1),(69,1),(73,1),(136,1),(143,1),(286,1),(287,1),(352,1),(355,1),(390,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(27,1),(29,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(29,1),(78,1),(266,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(166,1),(338,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(89,1),(90,1),(166,1),(257,1),(336,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(41,1),(78,1),(102,1),(153,1),(167,1),(263,1),(316,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(86,1),(87,1),(166,1),(250,1),(253,1),(255,1),(262,1),(315,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(249,1),(261,1),(314,1)}
        19:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(98,1),(238,1),(262,1),(319,1),(377,1)}
        20:{1,2,3,5,7}:{(7,1),(11,1),(39,1),(40,1),(99,1),(101,1),(184,1),(324,1),(378,1),(402,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(31,1),(41,1),(42,1),(323,1),(378,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(32,1),(41,1),(42,1),(102,1)}
        23:{1,2,4,6}:{(9,1),(33,1),(41,1),(44,1),(102,1),(316,1),(319,1)}
        24:{1,2,5}:{(10,1),(42,1)}
        25:{1,2,4,6}:{(11,1),(40,1),(45,1),(46,1),(102,1),(182,1),(325,1),(403,1)}
        26:{1,2,3,6,7}:{(13,1),(47,1),(48,1),(112,1),(192,1),(224,1),(278,1),(307,1),(308,1),(369,1)}
        27:{1,3,4,7}:{(12,1),(14,1),(49,1),(50,1),(195,1),(312,1)}
        28:{1,2,4,5,7}:{(12,1),(15,1),(49,1),(51,1),(52,1),(114,1),(115,1),(195,1),(220,1),(223,1),(227,1),(310,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(50,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(48,1),(52,1),(53,1),(109,1),(113,1),(117,1),(192,1),(199,1),(229,1),(230,1),(308,1),(311,1),(368,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(21,1),(49,1),(56,1),(57,1),(300,1),(366,1)}
        32:{2,3,4,6}:{(14,1),(22,1),(50,1),(56,1),(57,1),(126,1)}
        33:{2,4,6}:{(15,1),(16,1),(56,1),(59,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(58,1),(60,1),(68,1),(112,1),(123,1),(139,1),(195,1),(208,1),(210,1),(297,1),(298,1),(304,1),(348,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(59,1),(60,1),(61,1),(129,1),(303,1),(347,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(60,1),(62,1),(292,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(61,1),(62,1),(63,1),(126,1)}
        38:{1,3,4,6,7}:{(19,1),(22,1),(54,1),(64,1),(67,1),(68,1),(133,1),(136,1),(139,1),(194,1),(279,1),(348,1),(391,1),(392,1),(409,1)}
        39:{1,2,5,7}:{(19,1),(24,1),(64,1),(65,1),(302,1),(393,1)}
        40:{1,2,4,7}:{(20,1),(25,1),(67,1),(139,1),(225,1),(409,1)}
        41:{1,3,6}:{(21,1),(23,1),(56,1)}
        42:{1,3,5}:{(22,1),(24,1),(57,1),(70,1)}
        43:{1,2,4,6,7}:{(23,1),(58,1),(68,1),(71,1),(139,1),(348,1),(351,1),(354,1)}
        44:{1,2,5,6}:{(23,1),(24,1),(59,1),(69,1),(71,1),(347,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(70,1),(73,1),(141,1),(393,1),(410,1)}
        46:{1,3,4,6}:{(25,1),(67,1),(73,1),(74,1),(136,1),(355,1),(356,1)}
        47:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(149,1),(180,1),(266,1),(315,1),(344,1)}
        48:{1,2,3,5,7}:{(26,1),(30,1),(76,1),(77,1),(150,1),(152,1),(242,1),(271,1),(345,1),(386,1)}
        49:{1,3,5,7}:{(27,1),(28,1),(31,1),(78,1),(79,1),(270,1),(345,1)}
        50:{1,3,4,6}:{(27,1),(29,1),(32,1),(78,1),(79,1),(153,1)}
        51:{1,2,4,6}:{(28,1),(33,1),(78,1),(81,1),(153,1),(263,1),(266,1)}
        52:{1,2,5}:{(29,1),(79,1)}
        53:{1,2,4,6}:{(30,1),(77,1),(82,1),(83,1),(153,1),(240,1),(272,1),(387,1)}
        54:{2,3,4,6,7}:{(32,1),(38,1),(75,1),(84,1),(87,1),(100,1),(151,1),(162,1),(166,1),(178,1),(236,1),(250,1),(262,1),(315,1),(384,1),(385,1),(407,1)}
        55:{2,3,5,6,7}:{(36,1),(85,1),(86,1),(160,1),(247,1),(253,1)}
        56:{2,3,6}:{(31,1),(33,1),(41,1),(78,1)}
        57:{2,3,5}:{(32,1),(42,1),(79,1),(89,1)}
        58:{2,4,6,7}:{(33,1),(34,1),(87,1),(90,1),(166,1),(335,1),(336,1)}
        59:{2,5,6}:{(33,1),(35,1),(90,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(36,1),(90,1),(92,1),(169,1),(339,1),(372,1)}
        61:{1,4,5,6}:{(35,1),(37,1),(91,1),(92,1),(102,1),(153,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(86,1),(92,1),(94,1),(166,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(167,1),(249,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(42,1),(84,1),(95,1),(96,1),(372,1),(404,1)}
        65:{1,2,5,6}:{(39,1),(95,1),(98,1),(261,1),(319,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(96,1),(98,1),(99,1),(176,1)}
        67:{1,3,4,7}:{(40,1),(46,1),(99,1),(100,1),(378,1)}
        68:{1,3,6,7}:{(41,1),(43,1),(87,1),(101,1),(378,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(44,1),(88,1),(101,1),(102,1)}
        70:{1,4,5}:{(42,1),(89,1),(102,1)}
        71:{1,2,5,7}:{(43,1),(44,1),(90,1),(101,1),(372,1)}
        72:{1,2,4,5,6}:{(44,1),(45,1),(91,1),(98,1),(102,1),(104,1),(105,1),(172,1),(173,1),(182,1),(259,1),(261,1),(322,1),(373,1),(380,1),(403,1)}
        73:{1,3,5}:{(45,1),(46,1),(106,1)}
        74:{2,3,4,6}:{(46,1),(100,1),(106,1),(107,1),(178,1),(182,1),(337,1),(338,1)}
        75:{1,3,4,6,7}:{(47,1),(50,1),(54,1),(108,1),(111,1),(112,1),(138,1),(189,1),(192,1),(195,1),(222,1),(304,1),(369,1),(370,1),(400,1)}
        76:{1,2,5,7}:{(47,1),(52,1),(108,1),(109,1),(346,1),(371,1)}
        77:{1,2,4,7}:{(48,1),(53,1),(111,1),(195,1),(282,1),(400,1)}
        78:{1,3,6}:{(49,1),(51,1),(56,1)}
        79:{1,3,5}:{(50,1),(52,1),(57,1),(114,1)}
        80:{1,2,4,6,7}:{(51,1),(58,1),(112,1),(115,1),(195,1),(304,1),(307,1),(310,1)}
        81:{1,2,5,6}:{(51,1),(52,1),(59,1),(113,1),(115,1),(303,1)}
        82:{1,2,4,5}:{(52,1),(53,1),(114,1),(117,1),(197,1),(371,1),(401,1)}
        83:{1,3,4,6}:{(53,1),(111,1),(117,1),(118,1),(192,1),(311,1),(312,1)}
        84:{2,3,5,7}:{(54,1),(57,1),(64,1),(108,1),(120,1),(121,1),(292,1),(302,1),(346,1),(399,1)}
        85:{1,3,5,6,7}:{(55,1),(60,1),(122,1),(123,1),(208,1),(291,1),(297,1)}
        86:{2,4,6,7}:{(55,1),(62,1),(123,1),(124,1)}
        87:{2,3,6,7}:{(56,1),(58,1),(68,1),(112,1),(125,1),(208,1),(366,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(59,1),(69,1),(113,1),(125,1),(126,1),(129,1)}
        89:{2,4,5}:{(57,1),(70,1),(114,1),(126,1),(127,1)}
        90:{2,5,7}:{(58,1),(59,1),(60,1)}
        91:{2,4,5,6}:{(59,1),(61,1),(126,1),(128,1),(129,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(62,1),(123,1),(128,1),(139,1),(195,1)}
        93:{1,3,4,5,6}:{(61,1),(63,1),(129,1),(130,1),(131,1),(140,1),(196,1),(214,1),(217,1),(274,1),(288,1),(358,1),(395,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(124,1),(210,1),(292,1)}
        95:{1,3,5,6}:{(64,1),(65,1),(120,1),(133,1),(136,1),(279,1),(347,1)}
        96:{1,4,5,7}:{(64,1),(70,1),(121,1),(133,1),(139,1),(409,1),(410,1)}
        97:{1,2,5,6,7}:{(65,1),(71,1),(122,1),(132,1),(135,1),(291,1),(302,1),(351,1),(360,1),(389,1)}
        98:{1,2,4,6}:{(65,1),(66,1),(133,1),(136,1),(219,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(73,1),(136,1),(137,1)}
       100:{2,3,4,7}:{(67,1),(74,1),(137,1),(138,1),(225,1),(366,1)}
       101:{1,3,5,7}:{(68,1),(69,1),(71,1),(125,1),(139,1)}
       102:{1,4,6}:{(69,1),(70,1),(126,1),(139,1)}
       103:{1,3,4,5}:{(70,1),(73,1),(127,1),(140,1),(141,1),(410,1),(412,1)}
       104:{1,2,4,5,7}:{(71,1),(72,1),(128,1),(135,1),(139,1),(142,1),(215,1),(216,1),(225,1),(301,1),(302,1),(354,1),(389,1),(394,1),(409,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(129,1),(136,1),(140,1),(142,1),(143,1),(355,1),(395,1)}
       106:{2,3,5}:{(73,1),(74,1),(141,1),(144,1)}
       107:{1,3,4,6}:{(74,1),(138,1),(144,1),(145,1),(222,1),(226,1),(311,1),(312,1)}
       108:{1,3,5,7}:{(75,1),(76,1),(79,1),(84,1),(146,1),(147,1),(339,1),(388,1)}
       109:{1,2,5,6}:{(76,1),(146,1),(149,1),(266,1),(314,1)}
       110:{1,2,4,5,7}:{(76,1),(77,1),(82,1),(147,1),(149,1),(150,1),(234,1)}
       111:{1,3,4,7}:{(77,1),(83,1),(150,1),(151,1),(345,1)}
       112:{1,3,6,7}:{(78,1),(80,1),(87,1),(152,1),(345,1)}
       113:{1,3,5,6}:{(78,1),(79,1),(81,1),(88,1),(152,1),(153,1)}
       114:{1,4,5}:{(79,1),(89,1),(153,1)}
       115:{1,2,5,7}:{(80,1),(81,1),(90,1),(152,1),(339,1)}
       116:{1,2,4,5,6}:{(81,1),(82,1),(91,1),(149,1),(153,1),(155,1),(156,1),(172,1),(231,1),(240,1),(259,1),(269,1),(314,1),(340,1),(380,1),(387,1)}
       117:{1,3,5}:{(82,1),(83,1),(157,1)}
       118:{2,3,4,6}:{(83,1),(151,1),(157,1),(158,1),(236,1),(240,1),(337,1),(338,1)}
       119:{2,4,5,6,7}:{(86,1),(159,1),(160,1),(247,1),(248,1),(381,1)}
       120:{2,3,5,6}:{(84,1),(95,1),(146,1),(162,1),(178,1),(236,1),(249,1),(261,1),(314,1)}
       121:{2,4,5,7}:{(84,1),(89,1),(96,1),(147,1),(162,1),(163,1),(166,1),(407,1),(408,1)}
       122:{2,5,6,7}:{(85,1),(90,1),(164,1),(335,1)}
       123:{1,4,6,7}:{(85,1),(86,1),(92,1),(164,1)}
       124:{3,4,6,7}:{(86,1),(94,1),(160,1)}
       125:{2,3,5,7}:{(87,1),(88,1),(90,1),(101,1),(152,1),(166,1),(169,1)}
       126:{2,4,6}:{(88,1),(89,1),(102,1),(153,1),(166,1),(167,1)}
       127:{3,4,5}:{(89,1),(167,1)}
       128:{2,4,5,7}:{(90,1),(91,1),(92,1),(164,1),(166,1),(169,1)}
       129:{3,5,6}:{(91,1),(167,1),(169,1)}
       130:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(165,1),(169,1),(171,1),(181,1),(239,1),(258,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       131:{2,4,5,6}:{(93,1),(170,1),(171,1),(172,1),(182,1),(240,1),(259,1),(261,1),(314,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(101,1),(161,1),(174,1),(177,1),(260,1),(318,1),(372,1),(402,1)}
       133:{1,4,6}:{(95,1),(96,1),(162,1)}
       134:{1,3,4,5,7}:{(96,1),(99,1),(103,1),(163,1),(175,1),(176,1),(181,1),(260,1)}
       135:{1,2,4,6,7}:{(97,1),(98,1),(104,1),(164,1),(174,1),(177,1),(254,1),(262,1),(335,1),(381,1)}
       136:{1,3,6}:{(98,1),(99,1),(178,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(176,1),(178,1),(179,1)}
       138:{1,3,4,7}:{(100,1),(107,1),(179,1),(180,1),(268,1),(345,1)}
       139:{1,4,7}:{(101,1),(102,1),(166,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(105,1),(167,1),(181,1),(182,1),(403,1),(406,1)}
       141:{2,4,5}:{(103,1),(106,1),(182,1),(183,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(169,1),(177,1),(181,1),(184,1),(378,1),(405,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(178,1),(182,1),(184,1),(185,1),(259,1),(261,1),(337,1)}
       144:{1,3,5}:{(106,1),(107,1),(183,1),(186,1)}
       145:{1,2,4,6}:{(107,1),(180,1),(186,1),(187,1),(266,1),(272,1)}
       146:{1,3,5,6}:{(108,1),(109,1),(120,1),(189,1),(192,1),(222,1),(303,1)}
       147:{1,4,5,7}:{(108,1),(114,1),(121,1),(189,1),(195,1),(400,1),(401,1)}
       148:{1,2,5,6,7}:{(109,1),(115,1),(122,1),(188,1),(191,1),(291,1),(307,1),(346,1),(360,1),(367,1)}
       149:{1,2,4,6}:{(109,1),(110,1),(189,1),(192,1),(276,1)}
       150:{1,3,5,7}:{(110,1),(111,1),(117,1),(192,1),(193,1)}
       151:{2,3,4,7}:{(111,1),(118,1),(193,1),(194,1),(282,1),(366,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(115,1),(125,1),(195,1)}
       153:{1,4,6}:{(113,1),(114,1),(126,1),(195,1)}
       154:{1,3,4,5}:{(114,1),(117,1),(127,1),(196,1),(197,1),(401,1),(412,1)}
       155:{1,2,4,5,7}:{(115,1),(116,1),(128,1),(191,1),(195,1),(198,1),(215,1),(273,1),(282,1),(301,1),(310,1),(346,1),(367,1),(394,1),(400,1)}
       156:{1,3,5,6}:{(116,1),(117,1),(129,1),(192,1),(196,1),(198,1),(199,1),(311,1),(395,1)}
       157:{2,3,5}:{(117,1),(118,1),(197,1),(200,1)}
       158:{1,3,4,6}:{(118,1),(194,1),(200,1),(201,1),(279,1),(283,1),(355,1),(356,1)}
       159:{1,4,5,6,7}:{(119,1),(123,1),(202,1),(203,1),(216,1),(273,1),(291,1),(359,1)}
       160:{3,5,6,7}:{(119,1),(124,1),(292,1),(396,1)}
       161:{2,3,5,6,7}:{(120,1),(122,1),(125,1),(132,1),(188,1),(205,1),(208,1),(221,1),(278,1),(292,1),(302,1),(346,1),(360,1),(396,1),(397,1)}
       162:{2,4,6}:{(120,1),(121,1),(133,1),(189,1),(206,1)}
       163:{3,4,5,7}:{(121,1),(127,1),(206,1),(210,1),(292,1),(411,1),(412,1)}
       164:{2,4,6,7}:{(122,1),(123,1),(128,1),(208,1)}
       165:{1,3,4,6,7}:{(123,1),(124,1),(130,1),(203,1),(208,1),(209,1),(289,1),(297,1),(359,1),(396,1)}
       166:{2,4,7}:{(125,1),(126,1),(139,1),(195,1),(210,1)}
       167:{3,4,6}:{(126,1),(127,1),(129,1),(210,1)}
       168:{2,3,4,5}:{(127,1),(141,1),(197,1),(211,1),(212,1),(300,1),(412,1)}
       169:{3,5,7}:{(128,1),(129,1),(208,1),(210,1)}
       170:{2,3,5,6}:{(129,1),(131,1),(211,1),(213,1),(214,1),(395,1)}
       171:{2,4,5,7}:{(130,1),(131,1),(209,1),(213,1),(215,1),(225,1),(282,1),(301,1),(302,1),(346,1)}
       172:{1,4,5,6}:{(131,1),(214,1),(215,1),(226,1),(283,1),(303,1),(347,1)}
       173:{1,4,5,6}:{(133,1),(204,1),(216,1),(217,1),(347,1)}
       174:{1,4,6,7}:{(132,1),(133,1),(139,1),(205,1),(216,1),(409,1)}
       175:{1,3,4,6}:{(133,1),(134,1),(136,1),(206,1),(217,1),(219,1)}
       176:{2,4,5,7}:{(134,1),(137,1),(141,1),(219,1),(220,1),(225,1),(302,1)}
       177:{1,3,6,7}:{(135,1),(136,1),(142,1),(208,1),(221,1),(396,1)}
       178:{2,3,6}:{(136,1),(137,1),(219,1),(222,1)}
       179:{1,3,5,7}:{(137,1),(138,1),(144,1),(220,1),(222,1),(223,1)}
       180:{1,2,4,7}:{(138,1),(145,1),(223,1),(224,1)}
       181:{1,3,4,7}:{(139,1),(140,1),(142,1),(210,1),(225,1),(409,1),(411,1)}
       182:{2,4,6}:{(140,1),(141,1),(143,1),(225,1),(226,1)}
       183:{1,4,5}:{(141,1),(144,1),(226,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(221,1),(225,1),(228,1),(301,1),(302,1),(366,1)}
       185:{1,3,5,6}:{(143,1),(144,1),(222,1),(226,1),(228,1),(229,1),(303,1),(311,1)}
       186:{1,2,5}:{(144,1),(145,1)}
       187:{1,2,3,6}:{(145,1),(224,1),(230,1),(311,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(152,1),(161,1),(232,1),(235,1),(265,1),(313,1),(339,1),(386,1)}
       189:{1,4,6}:{(146,1),(147,1),(162,1)}
       190:{1,3,4,5,7}:{(147,1),(150,1),(154,1),(163,1),(233,1),(234,1),(239,1),(313,1)}
       191:{1,2,4,6,7}:{(148,1),(149,1),(155,1),(164,1),(232,1),(235,1),(254,1),(315,1),(335,1),(381,1)}
       192:{1,3,6}:{(149,1),(150,1),(236,1)}
       193:{2,3,5,7}:{(150,1),(151,1),(157,1),(234,1),(236,1),(237,1)}
       194:{1,3,4,7}:{(151,1),(158,1),(237,1),(238,1),(321,1),(378,1)}
       195:{1,4,7}:{(152,1),(153,1),(166,1)}
       196:{1,3,4,6}:{(153,1),(154,1),(156,1),(167,1),(239,1),(240,1),(387,1),(406,1)}
       197:{2,4,5}:{(154,1),(157,1),(240,1),(241,1)}
       198:{1,3,5,7}:{(155,1),(156,1),(169,1),(235,1),(239,1),(242,1),(345,1),(405,1)}
       199:{2,3,5,6}:{(156,1),(157,1),(236,1),(240,1),(242,1),(243,1),(259,1),(314,1),(337,1)}
       200:{1,3,5}:{(157,1),(158,1),(241,1),(244,1)}
       201:{1,2,4,6}:{(158,1),(238,1),(244,1),(245,1),(319,1),(325,1)}
       202:{2,4,5,6,7}:{(159,1),(164,1),(246,1),(247,1),(248,1),(328,1)}
       203:{1,3,5,6,7}:{(159,1),(160,1),(165,1),(246,1),(247,1),(260,1),(313,1)}
       204:{2,4,5,6}:{(162,1),(173,1),(231,1),(248,1),(249,1),(261,1),(314,1)}
       205:{2,4,6,7}:{(161,1),(162,1),(166,1),(174,1),(232,1),(248,1),(250,1),(407,1)}
       206:{3,4,6}:{(162,1),(163,1),(249,1)}
       207:{2,3,4,5,7}:{(163,1),(168,1),(176,1),(234,1),(251,1),(252,1),(255,1),(330,1),(334,1),(407,1),(408,1)}
       208:{3,6,7}:{(164,1),(169,1)}
       209:{2,4,6,7}:{(165,1),(171,1),(247,1),(253,1),(254,1),(335,1)}
       210:{3,4,7}:{(166,1),(167,1),(169,1)}
       211:{2,3,4,6}:{(167,1),(168,1),(170,1),(182,1),(240,1),(255,1),(256,1),(337,1),(406,1)}
       212:{1,3,4,5}:{(168,1),(183,1),(241,1),(256,1),(257,1),(270,1),(323,1)}
       213:{2,3,5,7}:{(169,1),(170,1),(171,1),(253,1),(255,1),(258,1),(405,1)}
       214:{1,3,5,6}:{(170,1),(172,1),(256,1),(258,1),(259,1)}
       215:{1,4,5,7}:{(171,1),(172,1),(254,1),(258,1),(268,1),(321,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(174,1),(248,1),(260,1),(372,1)}
       217:{1,3,5,6}:{(173,1),(175,1),(249,1),(260,1),(261,1)}
       218:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(181,1),(250,1),(260,1),(262,1)}
       219:{2,4,6}:{(175,1),(176,1),(178,1),(261,1),(263,1)}
       220:{1,4,5,7}:{(176,1),(179,1),(183,1),(263,1),(268,1),(339,1)}
       221:{2,3,6,7}:{(177,1),(178,1),(184,1),(262,1),(265,1),(335,1)}
       222:{1,3,6}:{(178,1),(179,1),(263,1),(266,1)}
       223:{1,2,5,7}:{(179,1),(180,1),(186,1),(266,1)}
       224:{1,2,3,7}:{(180,1),(187,1),(345,1)}
       225:{2,4,7}:{(181,1),(182,1),(184,1),(268,1)}
       226:{1,4,6}:{(182,1),(183,1),(185,1),(268,1)}
       227:{1,2,4,5}:{(183,1),(186,1),(257,1),(269,1),(270,1),(272,1)}
       228:{1,3,5,7}:{(184,1),(185,1),(265,1),(268,1),(271,1),(339,1),(345,1)}
       229:{1,2,5,6}:{(185,1),(186,1),(259,1),(266,1),(269,1),(271,1)}
       230:{1,2,3,5}:{(186,1),(187,1),(270,1),(272,1)}
       231:{1,4,5,6}:{(189,1),(204,1),(273,1),(274,1),(303,1)}
       232:{1,4,6,7}:{(188,1),(189,1),(195,1),(205,1),(273,1),(400,1)}
       233:{1,3,4,6}:{(189,1),(190,1),(192,1),(206,1),(274,1),(276,1)}
       234:{2,4,5,7}:{(190,1),(193,1),(197,1),(276,1),(277,1),(282,1),(346,1)}
       235:{1,3,6,7}:{(191,1),(192,1),(198,1),(208,1),(278,1),(396,1)}
       236:{2,3,6}:{(192,1),(193,1),(276,1),(279,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(200,1),(277,1),(279,1),(280,1)}
       238:{1,2,4,7}:{(194,1),(201,1),(280,1),(281,1)}
       239:{1,3,4,7}:{(195,1),(196,1),(198,1),(210,1),(282,1),(400,1),(411,1)}
       240:{2,4,6}:{(196,1),(197,1),(199,1),(282,1),(283,1)}
       241:{1,4,5}:{(197,1),(200,1),(283,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(278,1),(282,1),(285,1),(301,1),(346,1),(366,1)}
       243:{1,3,5,6}:{(199,1),(200,1),(279,1),(283,1),(285,1),(286,1),(347,1),(355,1)}
       244:{1,2,5}:{(200,1),(201,1)}
       245:{1,2,3,6}:{(201,1),(281,1),(287,1),(355,1)}
       246:{3,5,6,7}:{(202,1),(208,1),(289,1),(292,1)}
       247:{2,5,6,7}:{(203,1),(209,1),(291,1),(302,1),(346,1)}
       248:{2,4,5,7}:{(204,1),(205,1),(216,1),(273,1),(292,1),(302,1),(346,1)}
       249:{3,5,6}:{(204,1),(206,1),(292,1)}
       250:{3,4,6,7}:{(205,1),(206,1),(208,1),(210,1),(292,1),(396,1),(411,1)}
       251:{2,3,4,6}:{(206,1),(207,1),(219,1),(276,1),(293,1),(295,1),(364,1),(398,1)}
       252:{1,3,4,5,7}:{(207,1),(212,1),(220,1),(277,1),(295,1),(296,1),(298,1),(306,1),(350,1),(361,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       253:{2,3,6,7}:{(208,1),(209,1),(213,1),(297,1),(396,1)}
       254:{1,4,6,7}:{(209,1),(215,1),(291,1),(297,1)}
       255:{2,3,4,7}:{(210,1),(211,1),(213,1),(225,1),(282,1),(298,1),(366,1),(411,1)}
       256:{1,3,4,6}:{(211,1),(212,1),(214,1),(226,1),(283,1),(298,1),(299,1),(311,1),(355,1)}
       257:{2,4,5}:{(212,1),(299,1),(300,1)}
       258:{1,3,5,7}:{(213,1),(214,1),(215,1),(297,1),(298,1),(301,1)}
       259:{2,5,6}:{(214,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(218,1),(292,1),(302,1)}
       261:{2,5,6}:{(217,1),(219,1),(302,1),(303,1)}
       262:{2,4,6,7}:{(218,1),(219,1),(221,1),(225,1),(302,1),(304,1)}
       263:{1,4,6}:{(219,1),(220,1),(222,1),(303,1)}
       264:{1,2,4,5,7}:{(220,1),(223,1),(227,1),(296,1),(305,1),(306,1),(309,1),(310,1),(367,1),(371,1),(400,1),(401,1)}
       265:{1,3,6,7}:{(221,1),(222,1),(228,1),(304,1),(307,1)}
       266:{1,2,6}:{(222,1),(223,1)}
       267:{1,2,3,5,7}:{(223,1),(224,1),(230,1),(306,1),(308,1),(309,1),(371,1)}
       268:{1,4,7}:{(225,1),(226,1),(228,1)}
       269:{1,2,4,6}:{(226,1),(227,1),(229,1),(299,1),(310,1),(311,1)}
       270:{1,3,5}:{(227,1),(300,1),(311,1),(312,1)}
       271:{1,2,5,7}:{(228,1),(229,1),(301,1),(307,1),(310,1)}
       272:{1,2,4}:{(230,1),(312,1)}
       273:{1,4,5,7}:{(231,1),(232,1),(248,1),(313,1),(339,1)}
       274:{1,3,5,6}:{(231,1),(233,1),(249,1),(313,1),(314,1)}
       275:{1,3,4,6,7}:{(232,1),(233,1),(235,1),(239,1),(250,1),(313,1),(315,1)}
       276:{2,4,6}:{(233,1),(234,1),(236,1),(314,1),(316,1)}
       277:{1,4,5,7}:{(234,1),(237,1),(241,1),(316,1),(321,1),(372,1)}
       278:{2,3,6,7}:{(235,1),(236,1),(242,1),(315,1),(318,1),(335,1)}
       279:{1,3,6}:{(236,1),(237,1),(316,1),(319,1)}
       280:{1,2,5,7}:{(237,1),(238,1),(244,1),(319,1)}
       281:{1,2,3,7}:{(238,1),(245,1),(378,1)}
       282:{2,4,7}:{(239,1),(240,1),(242,1),(321,1)}
       283:{1,4,6}:{(240,1),(241,1),(243,1),(321,1)}
       284:{1,2,4,5}:{(241,1),(244,1),(257,1),(322,1),(323,1),(325,1)}
       285:{1,3,5,7}:{(242,1),(243,1),(318,1),(321,1),(324,1),(372,1),(378,1)}
       286:{1,2,5,6}:{(243,1),(244,1),(259,1),(319,1),(322,1),(324,1)}
       287:{1,2,3,5}:{(244,1),(245,1),(323,1),(325,1)}
       288:{3,4,5,6}:{(249,1),(326,1),(327,1),(406,1)}
       289:{3,4,6,7}:{(246,1),(326,1),(328,1)}
       290:{2,3,5,6,7}:{(246,1),(247,1),(253,1),(328,1),(329,1),(330,1)}
       291:{1,5,6,7}:{(247,1),(254,1),(339,1),(372,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(261,1),(314,1),(327,1),(330,1),(331,1)}
       294:{2,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(262,1),(315,1),(328,1),(330,1),(332,1),(384,1),(407,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(263,1),(316,1),(331,1),(333,1),(342,1),(375,1),(387,1),(403,1),(406,1)}
       296:{2,4,5,7}:{(252,1),(257,1),(333,1),(334,1),(336,1),(382,1),(407,1),(408,1)}
       297:{1,3,6,7}:{(253,1),(254,1),(258,1),(335,1)}
       298:{1,3,4,7}:{(255,1),(256,1),(258,1),(268,1),(321,1),(336,1),(345,1),(378,1)}
       299:{2,4,6}:{(256,1),(257,1),(259,1),(336,1),(337,1)}
       300:{2,3,5}:{(257,1),(270,1),(323,1),(337,1),(338,1)}
       301:{2,5,7}:{(258,1),(259,1),(335,1),(336,1)}
       302:{2,5,7}:{(260,1),(261,1),(262,1),(339,1)}
       303:{1,5,6}:{(261,1),(263,1),(339,1)}
       304:{1,4,6,7}:{(262,1),(263,1),(265,1),(268,1),(339,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(266,1),(333,1),(340,1),(342,1),(387,1)}
       306:{1,3,5,7}:{(264,1),(270,1),(334,1),(342,1),(343,1),(345,1),(388,1)}
       307:{1,2,6,7}:{(265,1),(266,1),(271,1),(335,1)}
       308:{1,2,3,6}:{(266,1),(267,1),(342,1),(344,1)}
       309:{1,2,4,7}:{(267,1),(272,1),(343,1),(344,1)}
       310:{1,2,4,7}:{(268,1),(269,1),(271,1),(336,1),(345,1)}
       311:{1,3,6}:{(269,1),(270,1),(337,1),(345,1)}
       312:{1,3,4}:{(270,1),(272,1),(338,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(275,1),(292,1),(346,1)}
       314:{2,5,6}:{(274,1),(276,1),(346,1),(347,1)}
       315:{2,4,6,7}:{(275,1),(276,1),(278,1),(282,1),(346,1),(348,1)}
       316:{1,4,6}:{(276,1),(277,1),(279,1),(347,1)}
       317:{1,2,4,5,7}:{(277,1),(280,1),(284,1),(296,1),(349,1),(350,1),(353,1),(354,1),(389,1),(393,1),(409,1),(410,1)}
       318:{1,3,6,7}:{(278,1),(279,1),(285,1),(348,1),(351,1)}
       319:{1,2,6}:{(279,1),(280,1)}
       320:{1,2,3,5,7}:{(280,1),(281,1),(287,1),(350,1),(352,1),(353,1),(393,1)}
       321:{1,4,7}:{(282,1),(283,1),(285,1)}
       322:{1,2,4,6}:{(283,1),(284,1),(286,1),(299,1),(354,1),(355,1)}
       323:{1,3,5}:{(284,1),(300,1),(355,1),(356,1)}
       324:{1,2,5,7}:{(285,1),(286,1),(301,1),(351,1),(354,1)}
       325:{1,2,4}:{(287,1),(356,1)}
       326:{3,4,5,7}:{(288,1),(289,1),(292,1),(357,1),(411,1)}
       327:{2,4,5,6}:{(288,1),(293,1),(357,1),(358,1),(398,1)}
       328:{2,4,6,7}:{(289,1),(290,1),(357,1),(359,1)}
       329:{1,3,5,6,7}:{(290,1),(291,1),(297,1),(359,1),(360,1),(361,1),(396,1)}
       330:{2,3,5,7}:{(292,1),(293,1),(294,1),(302,1),(346,1),(357,1),(361,1)}
       331:{1,3,5,6}:{(293,1),(295,1),(303,1),(347,1),(358,1),(361,1),(362,1),(395,1)}
       332:{1,3,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(304,1),(348,1),(359,1),(361,1),(363,1),(369,1),(391,1),(396,1),(400,1),(409,1),(411,1)}
       333:{2,4,6}:{(295,1),(296,1),(362,1),(364,1)}
       334:{2,3,5,7}:{(296,1),(300,1),(306,1),(350,1),(364,1),(365,1),(366,1),(399,1)}
       335:{2,6,7}:{(297,1),(301,1)}
       336:{2,4,7}:{(298,1),(299,1),(301,1),(366,1)}
       337:{2,3,6}:{(299,1),(300,1),(311,1),(355,1),(366,1)}
       338:{2,3,4}:{(300,1),(312,1),(356,1)}
       339:{1,5,7}:{(302,1),(303,1),(304,1)}
       340:{1,2,5,6}:{(303,1),(305,1),(362,1),(367,1),(368,1),(371,1)}
       341:{1,2,4,6,7}:{(304,1),(305,1),(307,1),(310,1),(363,1),(367,1),(369,1),(400,1)}
       342:{1,3,6}:{(305,1),(306,1),(364,1)}
       343:{1,3,4,7}:{(306,1),(309,1),(312,1),(365,1),(370,1),(400,1)}
       344:{1,2,4,6}:{(308,1),(309,1),(370,1),(371,1)}
       345:{1,3,7}:{(310,1),(311,1),(366,1)}
       346:{2,5,7}:{(313,1),(314,1),(315,1),(372,1)}
       347:{1,5,6}:{(314,1),(316,1),(372,1)}
       348:{1,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(372,1)}
       349:{1,2,4,6}:{(316,1),(317,1),(319,1),(333,1),(373,1),(375,1),(403,1)}
       350:{1,3,5,7}:{(317,1),(323,1),(334,1),(375,1),(376,1),(378,1),(404,1)}
       351:{1,2,6,7}:{(318,1),(319,1),(324,1),(335,1)}
       352:{1,2,3,6}:{(319,1),(320,1),(375,1),(377,1)}
       353:{1,2,4,7}:{(320,1),(325,1),(376,1),(377,1)}
       354:{1,2,4,7}:{(321,1),(322,1),(324,1),(336,1),(378,1)}
       355:{1,3,6}:{(322,1),(323,1),(337,1),(378,1)}
       356:{1,3,4}:{(323,1),(325,1),(338,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(330,1),(379,1),(407,1)}
       358:{1,4,5,6}:{(327,1),(331,1),(379,1),(380,1),(387,1),(403,1)}
       359:{1,4,6,7}:{(328,1),(329,1),(379,1),(381,1)}
       360:{2,5,6,7}:{(329,1),(335,1),(381,1),(382,1)}
       361:{1,3,5,7}:{(330,1),(331,1),(332,1),(339,1),(372,1),(379,1),(382,1),(405,1)}
       362:{2,5,6}:{(331,1),(333,1),(382,1)}
       363:{2,4,6,7}:{(332,1),(333,1),(335,1),(336,1),(382,1),(384,1),(407,1)}
       364:{2,3,6}:{(333,1),(334,1),(342,1),(375,1)}
       365:{2,3,4,7}:{(334,1),(338,1),(343,1),(376,1),(385,1),(407,1)}
       366:{2,3,7}:{(336,1),(337,1),(345,1),(378,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(341,1),(382,1),(386,1)}
       368:{1,3,5,6}:{(340,1),(342,1),(383,1),(386,1),(387,1),(388,1)}
       369:{1,3,6,7}:{(341,1),(342,1),(345,1),(384,1),(386,1)}
       370:{1,3,4,6}:{(342,1),(343,1),(344,1),(385,1),(387,1),(388,1)}
       371:{1,2,5}:{(344,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(348,1)}
       373:{1,2,5,6}:{(347,1),(349,1),(362,1),(389,1),(390,1),(393,1)}
       374:{1,2,4,6,7}:{(348,1),(349,1),(351,1),(354,1),(363,1),(389,1),(391,1),(409,1)}
       375:{1,3,6}:{(349,1),(350,1),(364,1)}
       376:{1,3,4,7}:{(350,1),(353,1),(356,1),(365,1),(392,1),(409,1)}
       377:{1,2,4,6}:{(352,1),(353,1),(392,1),(393,1)}
       378:{1,3,7}:{(354,1),(355,1),(366,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(359,1),(361,1),(394,1),(400,1),(409,1)}
       380:{2,4,5,6}:{(358,1),(362,1),(394,1),(395,1),(398,1)}
       381:{2,4,6,7}:{(359,1),(360,1),(394,1),(396,1)}
       382:{2,5,7}:{(361,1),(362,1),(363,1)}
       383:{2,3,5,6}:{(362,1),(364,1),(368,1),(390,1),(395,1),(397,1),(398,1),(399,1)}
       384:{2,3,6,7}:{(363,1),(364,1),(366,1),(369,1),(391,1),(396,1),(397,1)}
       385:{2,3,4,6}:{(364,1),(365,1),(370,1),(392,1),(398,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(397,1),(400,1)}
       387:{1,4,6}:{(368,1),(398,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(399,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(374,1),(382,1),(402,1)}
       390:{1,3,5,6}:{(373,1),(375,1),(383,1),(402,1),(403,1),(404,1)}
       391:{1,3,6,7}:{(374,1),(375,1),(378,1),(384,1),(402,1)}
       392:{1,3,4,6}:{(375,1),(376,1),(377,1),(385,1),(403,1),(404,1)}
       393:{1,2,5}:{(377,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(381,1),(382,1),(405,1),(407,1)}
       395:{3,5,6}:{(380,1),(405,1),(406,1)}
       396:{3,6,7}:{(381,1),(405,1)}
       397:{2,3,5,7}:{(382,1),(383,1),(384,1),(386,1),(402,1),(405,1),(407,1)}
       398:{2,4,6}:{(383,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       399:{2,3,5}:{(385,1),(388,1),(404,1),(408,1)}
       400:{1,4,7}:{(386,1),(387,1),(407,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(409,1)}
       403:{1,4,6}:{(390,1),(398,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(399,1),(410,1)}
       405:{3,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       406:{3,4,6}:{(395,1),(398,1),(411,1),(412,1)}
       407:{2,4,7}:{(397,1),(398,1),(400,1),(409,1),(411,1)}
       408:{2,4,5}:{(398,1),(399,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(407,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(406,1),(408,1)}

2356 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(97,1)}
         7:{1,2,3,7}:{(2,1),(20,1),(62,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(60,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(110,1),(131,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(80,1),(105,1),(110,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(115,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(37,1),(40,1),(80,1),(81,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(36,1),(38,1)}
        21:{1,2,5}:{(8,1),(37,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(80,1)}
        24:{1,2,3,7}:{(11,1),(43,1),(89,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(87,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(97,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(123,1),(137,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(97,1),(98,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(102,1),(120,1),(123,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(50,1),(58,1),(62,1),(102,1)}
        37:{1,3,5}:{(19,1),(21,1),(51,1),(57,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(58,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(52,1),(59,1),(60,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(61,1),(62,1),(102,1)}
        42:{1,3,4,6}:{(25,1),(26,1),(30,1),(63,1),(64,1),(67,1),(105,1),(106,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(63,1),(65,1)}
        44:{1,2,5}:{(25,1),(64,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(66,1),(67,1),(68,1),(105,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(80,1),(105,1),(117,1),(129,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(115,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,4,7}:{(30,1),(36,1),(63,1),(74,1),(78,1),(115,1)}
        51:{2,3,5}:{(30,1),(37,1),(64,1),(73,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(37,1),(73,1),(80,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(79,1),(81,1)}
        59:{1,3,5,6}:{(37,1),(39,1),(40,1),(75,1),(80,1),(81,1),(82,1),(117,1)}
        60:{1,2,6}:{(38,1),(81,1)}
        61:{1,2,5,7}:{(39,1),(41,1),(76,1),(82,1),(83,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(50,1),(85,1),(89,1),(120,1)}
        64:{1,3,5}:{(42,1),(44,1),(51,1),(84,1)}
        65:{1,2,5,7}:{(43,1),(44,1),(85,1),(87,1)}
        66:{1,2,5,6}:{(44,1),(46,1),(52,1),(86,1),(87,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(88,1),(89,1),(120,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(97,1),(126,1),(136,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(102,1),(120,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(137,1)}
        73:{2,4,5}:{(51,1),(57,1),(84,1),(90,1),(97,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(58,1),(85,1),(96,1),(98,1)}
        75:{2,3,5,6}:{(51,1),(52,1),(55,1),(59,1),(86,1),(91,1),(97,1),(98,1),(99,1),(126,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(96,1),(101,1),(102,1),(128,1)}
        80:{1,4,6}:{(57,1),(59,1),(97,1),(102,1)}
        81:{1,3,6}:{(58,1),(60,1),(98,1),(101,1)}
        82:{1,3,5,7}:{(59,1),(61,1),(62,1),(99,1),(102,1),(103,1),(128,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(64,1),(73,1),(105,1)}
        85:{1,3,5,7}:{(63,1),(64,1),(65,1),(74,1),(104,1),(106,1)}
        86:{1,3,5,6}:{(64,1),(66,1),(67,1),(75,1),(105,1),(106,1),(107,1),(129,1)}
        87:{1,2,6}:{(65,1),(106,1)}
        88:{1,2,5,7}:{(66,1),(68,1),(76,1),(107,1),(108,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(110,1)}
        91:{3,5,6}:{(69,1),(110,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(115,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,5,7}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1),(115,1),(134,1)}
        97:{2,4,6}:{(73,1),(75,1),(80,1),(105,1),(110,1),(115,1)}
        98:{2,3,6}:{(74,1),(81,1),(106,1),(114,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(78,1),(82,1),(107,1),(111,1),(115,1),(116,1),(134,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,6}:{(79,1),(81,1),(114,1),(117,1)}
       102:{1,4,7}:{(80,1),(82,1),(115,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(84,1),(85,1),(96,1),(119,1),(120,1),(135,1)}
       105:{1,4,6}:{(84,1),(86,1),(97,1),(120,1)}
       106:{1,3,6}:{(85,1),(87,1),(98,1),(119,1)}
       107:{1,3,5,7}:{(86,1),(88,1),(89,1),(99,1),(120,1),(121,1),(135,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,5,7}:{(90,1),(96,1),(122,1),(123,1),(137,1)}
       110:{3,4,6}:{(90,1),(91,1),(97,1),(123,1)}
       111:{3,5,7}:{(91,1),(92,1),(123,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,6}:{(96,1),(98,1),(101,1),(119,1),(122,1),(126,1)}
       115:{2,4,7}:{(97,1),(99,1),(102,1),(120,1),(123,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(127,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(106,1),(114,1),(129,1)}
       120:{1,4,7}:{(105,1),(107,1),(115,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(130,1)}
       122:{3,4,6}:{(109,1),(114,1),(131,1)}
       123:{3,4,7}:{(110,1),(111,1),(115,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6}:{(122,1),(126,1),(136,1),(137,1)}
       132:{3,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(137,1),(138,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(137,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(131,1),(139,1)}
       137:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2357 :   0:{1,2,3,5,6}:{(2,1),(3,1),(18,1),(21,1),(76,1),(77,1),(130,1),(230,1),(238,1),(340,1),(415,1),(423,1)}
         1:{1,2,4,5,6}:{(6,1),(7,1),(8,1),(33,1),(37,1),(45,1),(99,1),(176,1),(208,1),(209,1),(376,1),(393,1),(451,1)}
         2:{1,2,4,6}:{(0,1),(8,1),(9,1),(10,1),(37,1),(290,1),(451,1)}
         3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(40,1),(44,1),(49,1),(180,1),(283,1),(379,1)}
         4:{1,2,3,5,6}:{(13,1),(14,1),(51,1),(54,1),(70,1),(136,1),(137,1),(156,1),(164,1),(271,1),(359,1),(367,1)}
         5:{1,3,4,5,6}:{(15,1),(16,1),(17,1),(50,1),(60,1),(155,1),(229,1),(350,1),(351,1),(432,1)}
         6:{1,3,5,6}:{(1,1),(17,1),(18,1),(19,1),(21,1),(76,1),(230,1),(432,1)}
         7:{1,2,4,5,7}:{(1,1),(19,1),(20,1),(62,1),(68,1),(147,1),(159,1),(160,1),(231,1),(334,1),(353,1),(418,1)}
         8:{1,2,4,5}:{(2,1),(21,1),(65,1),(423,1),(480,1)}
         9:{1,3,4,6}:{(2,1),(21,1),(23,1),(24,1),(76,1),(230,1),(328,1)}
        10:{1,2,4,7}:{(2,1),(3,1),(24,1),(68,1),(418,1)}
        11:{1,2,3,6,7}:{(3,1),(25,1),(72,1),(76,1),(235,1),(333,1),(340,1),(503,1)}
        12:{1,2,4,5,6}:{(26,1),(27,1),(28,1),(33,1),(83,1),(91,1),(99,1),(108,1),(281,1),(282,1),(313,1),(393,1),(401,1)}
        13:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(83,1),(217,1),(401,1)}
        14:{1,2,3,5,7}:{(4,1),(30,1),(31,1),(86,1),(90,1),(95,1),(112,1),(210,1),(316,1)}
        15:{2,4,5,6}:{(5,1),(32,1),(33,1),(34,1),(37,1),(83,1),(99,1),(208,1),(281,1)}
        16:{1,3,4,5,7}:{(5,1),(34,1),(35,1),(38,1),(84,1),(100,1),(111,1),(179,1),(306,1),(307,1),(396,1)}
        17:{1,3,4,6}:{(6,1),(36,1),(37,1),(38,1),(451,1),(465,1)}
        18:{2,3,5,6}:{(6,1),(37,1),(39,1),(40,1),(43,1),(99,1),(118,1),(196,1),(208,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(38,1),(40,1),(41,1),(283,1),(396,1)}
        20:{1,2,4,6,7}:{(7,1),(41,1),(42,1),(45,1),(102,1),(110,1),(115,1),(200,1),(308,1)}
        21:{1,3,5}:{(8,1),(9,1),(43,1)}
        22:{1,2,4,5,7}:{(8,1),(10,1),(44,1),(45,1),(49,1),(106,1),(124,1)}
        23:{2,3,4,6}:{(9,1),(37,1),(43,1),(46,1),(47,1),(118,1),(196,1),(299,1)}
        24:{1,3,4,7}:{(9,1),(10,1),(44,1),(47,1),(283,1)}
        25:{1,2,4,6,7}:{(10,1),(11,1),(45,1),(48,1),(49,1),(110,1),(384,1),(478,1),(479,1)}
        26:{1,3,5,6}:{(12,1),(50,1),(51,1),(52,1),(54,1),(136,1),(156,1),(432,1)}
        27:{1,2,4,5,7}:{(12,1),(52,1),(53,1),(62,1),(128,1),(147,1),(157,1),(233,1),(234,1),(265,1),(353,1),(362,1)}
        28:{1,2,4,5}:{(13,1),(54,1),(125,1),(367,1),(438,1)}
        29:{1,3,4,6}:{(13,1),(54,1),(56,1),(57,1),(136,1),(156,1),(259,1)}
        30:{1,2,4,7}:{(13,1),(14,1),(57,1),(128,1),(362,1)}
        31:{1,2,3,6,7}:{(14,1),(58,1),(132,1),(136,1),(161,1),(264,1),(271,1),(528,1)}
        32:{2,3,5,6}:{(15,1),(59,1),(60,1),(61,1),(432,1)}
        33:{1,4,5,6}:{(15,1),(60,1),(62,1),(67,1),(127,1),(262,1),(331,1)}
        34:{2,4,5,7}:{(15,1),(16,1),(61,1),(62,1),(63,1),(68,1),(128,1),(147,1),(159,1),(233,1)}
        35:{1,3,4,6,7}:{(16,1),(63,1),(64,1),(148,1),(256,1),(257,1),(355,1)}
        36:{1,3,4,5}:{(17,1),(21,1),(65,1),(480,1),(492,1)}
        37:{2,4,6}:{(17,1),(18,1),(65,1),(67,1),(68,1)}
        38:{1,3,4,7}:{(17,1),(19,1),(68,1),(418,1),(434,1)}
        39:{1,3,5,6}:{(18,1),(67,1),(70,1),(71,1),(74,1),(156,1),(166,1),(262,1)}
        40:{2,3,5,7}:{(18,1),(19,1),(68,1),(71,1),(72,1),(147,1),(159,1),(251,1)}
        41:{1,3,6,7}:{(19,1),(20,1),(72,1),(76,1),(355,1)}
        42:{1,2,5,6,7}:{(20,1),(73,1),(77,1),(150,1),(159,1),(255,1),(334,1),(444,1)}
        43:{2,3,5}:{(21,1),(23,1),(65,1),(74,1)}
        44:{1,3,5,7}:{(21,1),(22,1),(24,1),(75,1),(76,1)}
        45:{1,2,4,6}:{(22,1),(76,1),(77,1),(154,1),(168,1)}
        46:{1,3,4,6}:{(23,1),(67,1),(74,1),(78,1),(79,1),(156,1),(166,1),(259,1)}
        47:{2,3,4,7}:{(23,1),(24,1),(68,1),(75,1),(79,1),(251,1)}
        48:{1,3,4,6,7}:{(24,1),(25,1),(76,1),(80,1),(81,1),(168,1),(333,1),(366,1),(414,1),(418,1),(447,1),(448,1)}
        49:{1,2,5,7}:{(25,1),(77,1),(81,1),(159,1),(423,1)}
        50:{1,3,4,6}:{(26,1),(82,1),(83,1),(84,1),(401,1),(465,1)}
        51:{2,3,5,6}:{(26,1),(83,1),(85,1),(86,1),(89,1),(99,1),(186,1),(196,1),(281,1)}
        52:{1,3,5,7}:{(26,1),(27,1),(84,1),(86,1),(87,1),(210,1),(396,1)}
        53:{1,2,4,6,7}:{(27,1),(87,1),(88,1),(91,1),(102,1),(178,1),(183,1),(200,1),(308,1)}
        54:{1,3,5}:{(28,1),(29,1),(89,1)}
        55:{1,2,4,5,7}:{(28,1),(30,1),(90,1),(91,1),(95,1),(174,1),(192,1)}
        56:{2,3,4,6}:{(29,1),(83,1),(89,1),(92,1),(93,1),(186,1),(196,1),(299,1)}
        57:{1,3,4,7}:{(29,1),(30,1),(90,1),(93,1),(210,1)}
        58:{1,2,4,6,7}:{(30,1),(31,1),(91,1),(94,1),(95,1),(178,1),(321,1),(511,1),(512,1)}
        59:{2,3,4,6}:{(32,1),(37,1),(83,1),(96,1),(97,1),(98,1),(196,1),(465,1)}
        60:{1,3,5,6}:{(32,1),(33,1),(97,1),(99,1),(100,1)}
        61:{2,3,5,7}:{(32,1),(34,1),(98,1),(100,1),(101,1),(396,1)}
        62:{1,4,5,7}:{(33,1),(34,1),(100,1),(102,1),(109,1),(177,1),(212,1),(285,1)}
        63:{2,4,6,7}:{(34,1),(35,1),(101,1),(102,1),(103,1),(200,1)}
        64:{1,3,5,6,7}:{(35,1),(103,1),(104,1),(111,1),(179,1),(204,1)}
        65:{2,4,5}:{(36,1),(37,1),(43,1),(105,1)}
        66:{1,3,4,5,7}:{(36,1),(38,1),(44,1),(106,1),(107,1),(111,1),(124,1),(225,1)}
        67:{1,4,6}:{(37,1),(39,1),(105,1),(109,1)}
        68:{2,4,7}:{(37,1),(38,1),(40,1),(109,1)}
        69:{1,3,4,6,7}:{(38,1),(41,1),(107,1),(110,1),(111,1),(115,1),(216,1)}
        70:{1,2,5,6}:{(39,1),(99,1),(108,1),(112,1),(116,1),(219,1)}
        71:{1,3,5,7}:{(39,1),(40,1),(109,1),(112,1),(113,1),(210,1),(212,1)}
        72:{2,3,6,7}:{(40,1),(41,1),(110,1),(113,1),(118,1),(200,1)}
        73:{1,3,5,6,7}:{(41,1),(42,1),(111,1),(114,1),(115,1),(119,1),(379,1),(406,1),(407,1)}
        74:{1,3,5}:{(43,1),(46,1),(105,1),(116,1)}
        75:{2,3,5,7}:{(43,1),(44,1),(47,1),(106,1),(117,1),(118,1)}
        76:{1,3,6}:{(44,1),(45,1),(118,1)}
        77:{1,2,5,6}:{(45,1),(49,1),(119,1),(208,1),(478,1)}
        78:{1,2,4,6}:{(46,1),(116,1),(120,1),(121,1),(217,1),(219,1)}
        79:{1,3,4,7}:{(46,1),(47,1),(109,1),(117,1),(121,1),(210,1)}
        80:{2,3,4,6,7}:{(47,1),(48,1),(110,1),(118,1),(122,1),(123,1),(216,1),(221,1),(304,1),(320,1),(391,1),(395,1),(410,1),(412,1)}
        81:{1,3,5,7}:{(48,1),(49,1),(119,1),(123,1),(124,1),(406,1),(450,1)}
        82:{1,3,4,5}:{(50,1),(54,1),(125,1),(438,1),(492,1)}
        83:{2,4,6}:{(50,1),(51,1),(125,1),(127,1),(128,1)}
        84:{1,3,4,7}:{(50,1),(52,1),(128,1),(362,1),(434,1)}
        85:{1,3,5,6}:{(51,1),(127,1),(130,1),(131,1),(134,1),(230,1),(240,1),(331,1)}
        86:{2,3,5,7}:{(51,1),(52,1),(128,1),(131,1),(132,1),(147,1),(233,1),(251,1)}
        87:{1,3,6,7}:{(52,1),(53,1),(132,1),(136,1),(355,1)}
        88:{1,2,5,6,7}:{(53,1),(133,1),(137,1),(150,1),(233,1),(255,1),(265,1),(486,1)}
        89:{2,3,5}:{(54,1),(56,1),(125,1),(134,1)}
        90:{1,3,5,7}:{(54,1),(55,1),(57,1),(135,1),(136,1)}
        91:{1,2,4,6}:{(55,1),(136,1),(137,1),(228,1),(242,1)}
        92:{1,3,4,6}:{(56,1),(127,1),(134,1),(138,1),(139,1),(230,1),(240,1),(328,1)}
        93:{2,3,4,7}:{(56,1),(57,1),(128,1),(135,1),(139,1),(251,1)}
        94:{1,3,4,6,7}:{(57,1),(58,1),(136,1),(140,1),(141,1),(242,1),(264,1),(358,1),(362,1),(422,1),(489,1),(490,1)}
        95:{1,2,5,7}:{(58,1),(137,1),(141,1),(233,1),(367,1)}
        96:{2,3,4,5}:{(59,1),(65,1),(125,1),(142,1),(247,1),(492,1)}
        97:{1,3,4,6}:{(59,1),(60,1),(67,1),(127,1),(142,1),(144,1),(145,1),(156,1),(230,1)}
        98:{2,3,4,7}:{(59,1),(61,1),(68,1),(128,1),(145,1),(251,1),(434,1)}
        99:{2,5,6}:{(60,1),(144,1),(147,1)}
       100:{1,3,5,7}:{(60,1),(61,1),(62,1),(145,1),(147,1),(148,1)}
       101:{2,3,6,7}:{(61,1),(63,1),(148,1),(355,1)}
       102:{1,4,6,7}:{(62,1),(63,1),(148,1),(150,1)}
       103:{2,5,6,7}:{(63,1),(64,1),(150,1),(159,1),(233,1)}
       104:{1,4,5,6,7}:{(64,1),(151,1),(160,1),(234,1),(256,1),(357,1)}
       105:{1,4,5}:{(65,1),(67,1),(74,1)}
       106:{2,4,5,7}:{(65,1),(66,1),(68,1),(75,1),(153,1),(154,1),(159,1)}
       107:{1,3,4,6}:{(66,1),(76,1),(154,1),(155,1),(168,1),(274,1)}
       108:{1,2,4,6}:{(67,1),(70,1),(144,1),(152,1),(156,1),(157,1)}
       109:{1,4,7}:{(67,1),(68,1),(71,1)}
       110:{2,4,6,7}:{(68,1),(69,1),(72,1),(154,1),(158,1),(159,1)}
       111:{1,3,5,7}:{(69,1),(155,1),(159,1),(160,1),(267,1)}
       112:{1,2,5,7}:{(70,1),(71,1),(147,1),(157,1),(161,1)}
       113:{1,3,6,7}:{(71,1),(72,1),(158,1),(161,1),(166,1)}
       114:{2,3,5,6,7}:{(72,1),(73,1),(159,1),(162,1),(163,1),(167,1),(255,1),(267,1),(352,1),(355,1),(364,1),(365,1)}
       115:{1,4,6,7}:{(73,1),(160,1),(163,1),(168,1),(418,1)}
       116:{1,2,5}:{(74,1),(78,1)}
       117:{1,3,5,7}:{(74,1),(75,1),(79,1),(153,1),(165,1),(166,1)}
       118:{2,3,6}:{(75,1),(76,1),(154,1),(166,1)}
       119:{1,3,5,6}:{(76,1),(77,1),(81,1),(167,1),(168,1),(441,1),(447,1)}
       120:{1,2,3,6}:{(78,1),(156,1),(164,1),(169,1)}
       121:{1,2,4,7}:{(78,1),(79,1),(165,1),(169,1)}
       122:{1,3,4,6,7}:{(79,1),(80,1),(158,1),(166,1),(170,1),(171,1),(264,1),(273,1),(358,1),(362,1),(369,1),(371,1)}
       123:{2,3,5,7}:{(80,1),(81,1),(159,1),(167,1),(171,1),(172,1),(267,1),(364,1),(430,1)}
       124:{1,4,5,7}:{(81,1),(168,1),(172,1),(418,1),(480,1)}
       125:{2,4,5}:{(82,1),(83,1),(89,1),(173,1)}
       126:{1,3,4,5,7}:{(82,1),(84,1),(90,1),(174,1),(175,1),(179,1),(192,1),(298,1)}
       127:{1,4,6}:{(83,1),(85,1),(173,1),(177,1)}
       128:{2,4,7}:{(83,1),(84,1),(86,1),(177,1)}
       129:{1,3,4,6,7}:{(84,1),(87,1),(175,1),(178,1),(179,1),(183,1),(289,1)}
       130:{1,2,5,6}:{(85,1),(99,1),(176,1),(180,1),(184,1),(292,1)}
       131:{1,3,5,7}:{(85,1),(86,1),(177,1),(180,1),(181,1),(283,1),(285,1)}
       132:{2,3,6,7}:{(86,1),(87,1),(178,1),(181,1),(186,1),(200,1)}
       133:{1,3,5,6,7}:{(87,1),(88,1),(179,1),(182,1),(183,1),(187,1),(316,1),(456,1),(457,1)}
       134:{1,3,5}:{(89,1),(92,1),(173,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(93,1),(174,1),(185,1),(186,1)}
       136:{1,3,6}:{(90,1),(91,1),(186,1)}
       137:{1,2,5,6}:{(91,1),(95,1),(187,1),(281,1),(511,1)}
       138:{1,2,4,6}:{(92,1),(184,1),(188,1),(189,1),(290,1),(292,1)}
       139:{1,3,4,7}:{(92,1),(93,1),(177,1),(185,1),(189,1),(283,1)}
       140:{2,3,4,6,7}:{(93,1),(94,1),(178,1),(186,1),(190,1),(191,1),(289,1),(294,1),(304,1),(383,1),(391,1),(395,1),(460,1),(462,1)}
       141:{1,3,5,7}:{(94,1),(95,1),(187,1),(191,1),(192,1),(400,1),(456,1)}
       142:{1,3,4,5}:{(96,1),(97,1),(105,1),(173,1),(193,1),(205,1),(278,1)}
       143:{2,3,4,5,7}:{(96,1),(98,1),(106,1),(174,1),(194,1),(195,1),(199,1),(225,1),(298,1),(300,1),(327,1),(390,1),(395,1),(464,1),(468,1),(513,1)}
       144:{2,4,6}:{(97,1),(99,1),(193,1),(196,1),(197,1)}
       145:{1,3,4,7}:{(97,1),(98,1),(100,1),(109,1),(177,1),(197,1),(210,1),(283,1)}
       146:{2,3,4,6,7}:{(98,1),(101,1),(110,1),(178,1),(195,1),(198,1),(199,1),(202,1),(216,1),(289,1),(304,1),(320,1),(383,1),(395,1),(398,1),(468,1)}
       147:{2,5,7}:{(99,1),(100,1),(197,1),(200,1)}
       148:{1,3,6,7}:{(100,1),(101,1),(102,1),(200,1)}
       149:{2,3,5,6,7}:{(101,1),(103,1),(199,1),(201,1),(202,1),(204,1),(310,1),(398,1)}
       150:{1,5,6,7}:{(102,1),(103,1),(212,1),(285,1)}
       151:{2,4,5,6,7}:{(103,1),(104,1),(202,1),(203,1),(204,1),(213,1),(286,1),(308,1),(310,1)}
       152:{1,2,4,5}:{(105,1),(108,1),(116,1),(193,1),(205,1),(217,1)}
       153:{1,4,5,7}:{(105,1),(106,1),(109,1),(117,1),(207,1),(212,1)}
       154:{2,4,6}:{(106,1),(107,1),(118,1),(207,1),(208,1)}
       155:{1,3,5,6}:{(107,1),(111,1),(208,1),(209,1),(315,1)}
       156:{1,3,6}:{(108,1),(196,1),(205,1),(210,1)}
       157:{1,2,4,7}:{(108,1),(109,1),(112,1),(197,1),(210,1)}
       158:{1,4,6,7}:{(109,1),(110,1),(113,1),(207,1),(212,1)}
       159:{2,5,7}:{(110,1),(111,1),(208,1),(212,1)}
       160:{1,4,5,7}:{(111,1),(115,1),(209,1),(213,1),(406,1)}
       161:{1,2,6,7}:{(112,1),(113,1),(200,1),(219,1)}
       162:{1,3,5,6,7}:{(113,1),(114,1),(212,1),(214,1),(215,1),(220,1),(316,1),(318,1),(319,1)}
       163:{2,4,6,7}:{(114,1),(115,1),(213,1),(215,1),(216,1),(221,1),(395,1)}
       164:{1,2,3,5}:{(116,1),(120,1),(205,1),(217,1)}
       165:{1,2,5,7}:{(116,1),(117,1),(121,1),(219,1)}
       166:{1,3,6}:{(117,1),(118,1),(207,1),(219,1)}
       167:{2,3,5,6}:{(118,1),(119,1),(123,1),(208,1),(220,1),(221,1),(315,1),(403,1),(410,1)}
       168:{1,4,6}:{(119,1),(124,1),(221,1)}
       169:{1,2,3,7}:{(120,1),(121,1),(210,1)}
       170:{1,2,4,6,7}:{(121,1),(122,1),(219,1),(222,1),(223,1),(320,1),(321,1),(323,1),(325,1)}
       171:{1,3,5,7}:{(122,1),(123,1),(212,1),(220,1),(223,1),(224,1),(400,1)}
       172:{2,4,5,7}:{(123,1),(124,1),(221,1),(224,1),(225,1),(395,1),(464,1)}
       173:{1,4,5}:{(125,1),(127,1),(134,1)}
       174:{2,4,5,7}:{(125,1),(126,1),(128,1),(135,1),(227,1),(228,1),(233,1)}
       175:{1,3,4,6}:{(126,1),(136,1),(228,1),(229,1),(242,1),(343,1)}
       176:{1,2,4,6}:{(127,1),(130,1),(144,1),(226,1),(230,1),(231,1)}
       177:{1,4,7}:{(127,1),(128,1),(131,1)}
       178:{2,4,6,7}:{(128,1),(129,1),(132,1),(228,1),(232,1),(233,1)}
       179:{1,3,5,7}:{(129,1),(229,1),(233,1),(234,1),(336,1)}
       180:{1,2,5,7}:{(130,1),(131,1),(147,1),(231,1),(235,1)}
       181:{1,3,6,7}:{(131,1),(132,1),(232,1),(235,1),(240,1)}
       182:{2,3,5,6,7}:{(132,1),(133,1),(233,1),(236,1),(237,1),(241,1),(255,1),(336,1),(352,1),(355,1),(420,1),(421,1)}
       183:{1,4,6,7}:{(133,1),(234,1),(237,1),(242,1),(362,1)}
       184:{1,2,5}:{(134,1),(138,1)}
       185:{1,3,5,7}:{(134,1),(135,1),(139,1),(227,1),(239,1),(240,1)}
       186:{2,3,6}:{(135,1),(136,1),(228,1),(240,1)}
       187:{1,3,5,6}:{(136,1),(137,1),(141,1),(241,1),(242,1),(483,1),(489,1)}
       188:{1,2,3,6}:{(138,1),(230,1),(238,1),(243,1)}
       189:{1,2,4,7}:{(138,1),(139,1),(239,1),(243,1)}
       190:{1,3,4,6,7}:{(139,1),(140,1),(232,1),(240,1),(244,1),(245,1),(333,1),(342,1),(414,1),(418,1),(425,1),(427,1)}
       191:{2,3,5,7}:{(140,1),(141,1),(233,1),(241,1),(245,1),(246,1),(336,1),(420,1),(430,1)}
       192:{1,4,5,7}:{(141,1),(242,1),(246,1),(362,1),(438,1)}
       193:{2,4,5}:{(142,1),(144,1),(247,1)}
       194:{1,3,4,5,7}:{(142,1),(143,1),(145,1),(153,1),(227,1),(248,1),(249,1),(253,1),(260,1),(329,1),(362,1),(373,1),(418,1),(429,1),(434,1),(438,1),(480,1),(492,1),(495,1),(529,1)}
       195:{2,3,4,6}:{(143,1),(154,1),(228,1),(249,1),(250,1),(274,1),(343,1),(348,1),(370,1),(426,1),(431,1)}
       196:{2,3,6}:{(144,1),(156,1),(230,1),(247,1),(251,1)}
       197:{2,4,7}:{(144,1),(145,1),(147,1),(251,1)}
       198:{1,3,4,6,7}:{(145,1),(146,1),(148,1),(158,1),(232,1),(249,1),(252,1),(253,1),(256,1),(264,1),(333,1),(355,1),(362,1),(366,1),(418,1),(422,1),(434,1),(437,1),(495,1)}
       199:{2,3,5,7}:{(146,1),(159,1),(233,1),(250,1),(253,1),(254,1),(267,1),(336,1),(364,1),(420,1)}
       200:{2,6,7}:{(147,1),(148,1)}
       201:{1,3,5,6,7}:{(148,1),(149,1),(150,1),(253,1),(255,1),(256,1),(355,1),(357,1),(437,1)}
       202:{2,4,6,7}:{(149,1),(254,1),(256,1),(257,1)}
       203:{1,4,5,6,7}:{(150,1),(151,1),(256,1),(258,1),(266,1),(335,1)}
       204:{3,5,6,7}:{(151,1),(257,1),(267,1),(336,1),(355,1)}
       205:{1,3,5}:{(152,1),(156,1),(247,1),(259,1)}
       206:{1,2,4,5,7}:{(152,1),(153,1),(157,1),(165,1),(248,1),(260,1),(261,1),(265,1),(270,1),(362,1),(367,1),(429,1),(438,1),(491,1),(525,1),(544,1)}
       207:{1,4,6}:{(153,1),(154,1),(166,1),(262,1)}
       208:{2,5,6}:{(154,1),(155,1),(159,1),(262,1)}
       209:{1,4,5,6}:{(155,1),(160,1),(168,1),(263,1),(441,1)}
       210:{1,3,7}:{(156,1),(157,1),(251,1)}
       211:{1,2,4,6,7}:{(157,1),(158,1),(161,1),(252,1),(261,1),(264,1),(265,1),(362,1),(422,1),(486,1),(525,1)}
       212:{1,5,7}:{(158,1),(159,1),(262,1)}
       213:{2,4,5,7}:{(159,1),(160,1),(163,1),(263,1),(266,1),(267,1),(364,1)}
       214:{1,2,5,6,7}:{(161,1),(162,1),(255,1),(265,1),(268,1),(272,1),(357,1),(364,1)}
       215:{1,4,6,7}:{(162,1),(163,1),(266,1),(273,1),(362,1)}
       216:{3,4,6,7}:{(163,1),(267,1),(274,1),(355,1),(434,1)}
       217:{1,2,4}:{(164,1),(259,1)}
       218:{1,2,3,5,7}:{(164,1),(165,1),(169,1),(260,1),(270,1),(271,1),(367,1),(491,1),(528,1),(546,1)}
       219:{1,2,6}:{(165,1),(166,1)}
       220:{1,3,5,6}:{(166,1),(167,1),(171,1),(262,1),(272,1),(273,1),(369,1)}
       221:{2,4,6}:{(167,1),(168,1),(172,1),(273,1),(274,1)}
       222:{1,2,3,6,7}:{(169,1),(170,1),(264,1),(271,1),(275,1),(365,1),(369,1),(486,1)}
       223:{1,2,5,7}:{(170,1),(171,1),(272,1),(364,1),(367,1)}
       224:{1,4,5,7}:{(171,1),(172,1),(273,1),(362,1),(438,1)}
       225:{3,4,5,7}:{(172,1),(267,1),(274,1),(434,1),(492,1)}
       226:{1,2,4,5}:{(173,1),(176,1),(184,1),(193,1),(278,1),(290,1)}
       227:{1,4,5,7}:{(173,1),(174,1),(177,1),(185,1),(280,1),(285,1)}
       228:{2,4,6}:{(174,1),(175,1),(186,1),(280,1),(281,1)}
       229:{1,3,5,6}:{(175,1),(179,1),(281,1),(282,1),(378,1)}
       230:{1,3,6}:{(176,1),(196,1),(278,1),(283,1)}
       231:{1,2,4,7}:{(176,1),(177,1),(180,1),(197,1),(283,1)}
       232:{1,4,6,7}:{(177,1),(178,1),(181,1),(280,1),(285,1)}
       233:{2,5,7}:{(178,1),(179,1),(281,1),(285,1)}
       234:{1,4,5,7}:{(179,1),(183,1),(282,1),(286,1),(456,1)}
       235:{1,2,6,7}:{(180,1),(181,1),(200,1),(292,1)}
       236:{1,3,5,6,7}:{(181,1),(182,1),(285,1),(287,1),(288,1),(293,1),(379,1),(381,1),(382,1)}
       237:{2,4,6,7}:{(182,1),(183,1),(286,1),(288,1),(289,1),(294,1),(395,1)}
       238:{1,2,3,5}:{(184,1),(188,1),(278,1),(290,1)}
       239:{1,2,5,7}:{(184,1),(185,1),(189,1),(292,1)}
       240:{1,3,6}:{(185,1),(186,1),(280,1),(292,1)}
       241:{2,3,5,6}:{(186,1),(187,1),(191,1),(281,1),(293,1),(294,1),(378,1),(453,1),(460,1)}
       242:{1,4,6}:{(187,1),(192,1),(294,1)}
       243:{1,2,3,7}:{(188,1),(189,1),(283,1)}
       244:{1,2,4,6,7}:{(189,1),(190,1),(292,1),(295,1),(296,1),(383,1),(384,1),(386,1),(388,1)}
       245:{1,3,5,7}:{(190,1),(191,1),(285,1),(293,1),(296,1),(297,1),(450,1)}
       246:{2,4,5,7}:{(191,1),(192,1),(294,1),(297,1),(298,1),(395,1),(464,1)}
       247:{2,3,5}:{(193,1),(196,1),(205,1),(278,1),(299,1)}
       248:{2,4,5,7}:{(193,1),(194,1),(197,1),(300,1),(301,1),(305,1),(395,1),(464,1),(516,1),(540,1)}
       249:{1,3,4,6}:{(194,1),(195,1),(207,1),(280,1),(301,1),(302,1),(312,1),(375,1),(401,1),(411,1),(451,1),(461,1),(465,1)}
       250:{2,3,5,6}:{(195,1),(199,1),(208,1),(281,1),(302,1),(303,1),(315,1),(378,1),(403,1),(453,1)}
       251:{2,3,7}:{(196,1),(197,1),(210,1),(283,1)}
       252:{2,4,6,7}:{(197,1),(198,1),(200,1),(301,1),(304,1),(305,1),(395,1),(470,1),(516,1)}
       253:{1,3,5,7}:{(198,1),(199,1),(212,1),(285,1),(302,1),(305,1),(306,1),(396,1),(406,1),(456,1)}
       254:{2,4,5,7}:{(199,1),(202,1),(303,1),(306,1),(307,1),(395,1)}
       255:{2,5,6,7}:{(200,1),(201,1),(305,1),(308,1),(470,1)}
       256:{1,4,6,7}:{(201,1),(202,1),(306,1),(308,1)}
       257:{3,4,6,7}:{(202,1),(204,1),(307,1)}
       258:{1,3,5,6,7}:{(203,1),(204,1),(309,1),(310,1),(318,1),(381,1)}
       259:{1,3,4}:{(205,1),(217,1),(299,1)}
       260:{1,3,5,7}:{(205,1),(206,1),(210,1),(300,1),(311,1),(312,1),(400,1),(537,1),(549,1)}
       261:{1,2,4,6}:{(206,1),(207,1),(219,1),(301,1),(312,1),(313,1),(401,1),(461,1),(511,1)}
       262:{1,5,6}:{(207,1),(208,1),(212,1)}
       263:{2,4,5,6}:{(208,1),(209,1),(213,1),(221,1),(314,1),(315,1),(403,1)}
       264:{1,3,6,7}:{(210,1),(211,1),(304,1),(312,1),(316,1),(537,1)}
       265:{1,2,5,7}:{(211,1),(212,1),(305,1),(313,1),(316,1),(456,1)}
       266:{1,4,5,7}:{(212,1),(213,1),(215,1),(314,1),(318,1)}
       267:{3,5,7}:{(213,1),(216,1),(315,1)}
       268:{1,2,4,6,7}:{(214,1),(215,1),(308,1),(317,1),(319,1),(320,1),(323,1),(399,1),(470,1)}
       269:{1,3,4,6,7}:{(215,1),(216,1),(318,1),(319,1),(320,1),(324,1),(404,1)}
       270:{1,2,4,7}:{(217,1),(218,1),(311,1),(321,1),(550,1)}
       271:{1,2,3,6}:{(218,1),(219,1),(312,1),(321,1),(511,1)}
       272:{1,2,5,6}:{(219,1),(220,1),(223,1),(323,1),(403,1)}
       273:{1,4,6}:{(220,1),(221,1),(224,1)}
       274:{3,4,6}:{(221,1),(225,1),(315,1)}
       275:{1,2,3,5,7}:{(222,1),(223,1),(316,1),(322,1),(325,1),(326,1),(405,1),(508,1),(537,1)}
       276:{1,2,4,5,7}:{(223,1),(224,1),(323,1),(325,1),(326,1),(327,1),(408,1)}
       277:{1,3,4,5,7}:{(224,1),(225,1),(318,1),(324,1),(326,1),(327,1),(404,1),(471,1)}
       278:{1,3,5}:{(226,1),(230,1),(247,1),(328,1)}
       279:{1,2,4,5,7}:{(226,1),(227,1),(231,1),(239,1),(248,1),(329,1),(330,1),(334,1),(339,1),(373,1),(418,1),(423,1),(449,1),(480,1),(500,1),(532,1)}
       280:{1,4,6}:{(227,1),(228,1),(240,1),(331,1)}
       281:{2,5,6}:{(228,1),(229,1),(233,1),(331,1)}
       282:{1,4,5,6}:{(229,1),(234,1),(242,1),(332,1),(483,1)}
       283:{1,3,7}:{(230,1),(231,1),(251,1)}
       284:{1,2,4,6,7}:{(231,1),(232,1),(235,1),(252,1),(330,1),(333,1),(334,1),(366,1),(418,1),(444,1),(500,1)}
       285:{1,5,7}:{(232,1),(233,1),(331,1)}
       286:{2,4,5,7}:{(233,1),(234,1),(237,1),(332,1),(335,1),(336,1),(420,1)}
       287:{1,2,5,6,7}:{(235,1),(236,1),(255,1),(334,1),(337,1),(341,1),(357,1),(420,1)}
       288:{1,4,6,7}:{(236,1),(237,1),(335,1),(342,1),(418,1)}
       289:{3,4,6,7}:{(237,1),(336,1),(343,1),(355,1),(434,1)}
       290:{1,2,4}:{(238,1),(328,1)}
       291:{1,2,3,5,7}:{(238,1),(239,1),(243,1),(329,1),(339,1),(340,1),(423,1),(449,1),(503,1),(534,1)}
       292:{1,2,6}:{(239,1),(240,1)}
       293:{1,3,5,6}:{(240,1),(241,1),(245,1),(331,1),(341,1),(342,1),(425,1)}
       294:{2,4,6}:{(241,1),(242,1),(246,1),(342,1),(343,1)}
       295:{1,2,3,6,7}:{(243,1),(244,1),(333,1),(340,1),(344,1),(421,1),(425,1),(444,1)}
       296:{1,2,5,7}:{(244,1),(245,1),(341,1),(420,1),(423,1)}
       297:{1,4,5,7}:{(245,1),(246,1),(342,1),(418,1),(480,1)}
       298:{3,4,5,7}:{(246,1),(336,1),(343,1),(434,1),(492,1)}
       299:{2,3,4}:{(247,1),(259,1),(328,1)}
       300:{2,3,5,7}:{(247,1),(248,1),(251,1),(260,1),(329,1),(347,1),(348,1),(430,1),(531,1),(547,1)}
       301:{2,4,6}:{(248,1),(249,1),(348,1),(349,1)}
       302:{1,3,5,6}:{(249,1),(250,1),(253,1),(262,1),(331,1),(349,1),(350,1),(432,1),(441,1),(483,1)}
       303:{2,4,5,6}:{(250,1),(254,1),(350,1),(351,1),(431,1)}
       304:{2,3,6,7}:{(251,1),(252,1),(264,1),(333,1),(348,1),(352,1),(355,1),(531,1)}
       305:{2,5,7}:{(252,1),(253,1),(349,1)}
       306:{1,4,5,7}:{(253,1),(254,1),(256,1),(350,1),(353,1),(362,1),(418,1)}
       307:{3,4,5,7}:{(254,1),(257,1),(267,1),(336,1),(351,1),(434,1)}
       308:{2,4,6,7}:{(255,1),(256,1),(353,1),(355,1)}
       309:{1,3,4,6,7}:{(256,1),(257,1),(258,1),(354,1),(355,1),(356,1),(437,1)}
       310:{2,5,6,7}:{(258,1),(356,1),(357,1),(364,1),(420,1)}
       311:{1,3,4,7}:{(259,1),(260,1),(270,1),(347,1),(358,1),(362,1),(552,1)}
       312:{1,3,6}:{(260,1),(261,1),(348,1)}
       313:{1,2,5,6}:{(261,1),(262,1),(265,1),(349,1),(359,1),(367,1),(483,1)}
       314:{1,4,5,6}:{(262,1),(263,1),(266,1),(273,1),(361,1)}
       315:{3,5,6}:{(263,1),(267,1),(274,1)}
       316:{1,3,5,7}:{(264,1),(265,1),(352,1),(359,1),(362,1)}
       317:{1,2,4,5,7}:{(265,1),(266,1),(268,1),(353,1),(360,1),(362,1),(363,1),(364,1),(436,1),(442,1),(496,1),(525,1)}
       318:{1,3,5,7}:{(266,1),(267,1),(269,1),(361,1),(364,1)}
       319:{1,3,6,7}:{(268,1),(355,1),(363,1),(365,1),(369,1)}
       320:{2,4,6,7}:{(269,1),(364,1),(365,1),(366,1),(370,1),(442,1)}
       321:{1,2,4,6}:{(270,1),(271,1),(358,1),(367,1)}
       322:{1,2,3,5,6}:{(271,1),(272,1),(275,1),(359,1),(367,1),(368,1),(369,1),(440,1),(445,1),(524,1),(545,1),(546,1)}
       323:{1,2,4,6}:{(272,1),(273,1),(276,1),(369,1),(370,1)}
       324:{1,3,4,6}:{(273,1),(274,1),(277,1),(361,1),(369,1),(370,1)}
       325:{1,2,4,7}:{(275,1),(362,1),(368,1),(371,1),(442,1)}
       326:{1,3,5,7}:{(276,1),(369,1),(371,1),(372,1),(445,1)}
       327:{2,4,5,7}:{(277,1),(364,1),(370,1),(372,1),(373,1),(442,1),(497,1)}
       328:{1,3,4}:{(278,1),(290,1),(299,1)}
       329:{1,3,5,7}:{(278,1),(279,1),(283,1),(300,1),(374,1),(375,1),(450,1),(519,1),(542,1)}
       330:{1,2,4,6}:{(279,1),(280,1),(292,1),(301,1),(375,1),(376,1),(411,1),(451,1),(478,1)}
       331:{1,5,6}:{(280,1),(281,1),(285,1)}
       332:{2,4,5,6}:{(281,1),(282,1),(286,1),(294,1),(377,1),(378,1),(453,1)}
       333:{1,3,6,7}:{(283,1),(284,1),(304,1),(375,1),(379,1),(519,1)}
       334:{1,2,5,7}:{(284,1),(285,1),(305,1),(376,1),(379,1),(406,1)}
       335:{1,4,5,7}:{(285,1),(286,1),(288,1),(377,1),(381,1)}
       336:{3,5,7}:{(286,1),(289,1),(378,1)}
       337:{1,2,4,6,7}:{(287,1),(288,1),(308,1),(380,1),(382,1),(383,1),(386,1),(399,1),(470,1)}
       338:{1,3,4,6,7}:{(288,1),(289,1),(381,1),(382,1),(383,1),(387,1),(454,1)}
       339:{1,2,4,7}:{(290,1),(291,1),(374,1),(384,1),(543,1)}
       340:{1,2,3,6}:{(291,1),(292,1),(375,1),(384,1),(478,1)}
       341:{1,2,5,6}:{(292,1),(293,1),(296,1),(386,1),(453,1)}
       342:{1,4,6}:{(293,1),(294,1),(297,1)}
       343:{3,4,6}:{(294,1),(298,1),(378,1)}
       344:{1,2,3,5,7}:{(295,1),(296,1),(379,1),(385,1),(388,1),(389,1),(455,1),(475,1),(519,1)}
       345:{1,2,4,5,7}:{(296,1),(297,1),(386,1),(388,1),(389,1),(390,1),(458,1)}
       346:{1,3,4,5,7}:{(297,1),(298,1),(381,1),(387,1),(389,1),(390,1),(454,1),(504,1)}
       347:{2,3,4,7}:{(299,1),(300,1),(311,1),(374,1),(391,1),(395,1),(551,1)}
       348:{2,3,6}:{(300,1),(301,1),(312,1),(375,1)}
       349:{2,5,6}:{(301,1),(302,1),(305,1)}
       350:{1,4,5,6}:{(302,1),(303,1),(306,1),(393,1),(401,1),(451,1)}
       351:{3,4,5,6}:{(303,1),(307,1),(315,1),(378,1),(465,1)}
       352:{2,3,5,7}:{(304,1),(305,1),(316,1),(379,1),(392,1),(395,1),(396,1)}
       353:{2,4,5,7}:{(305,1),(306,1),(308,1),(393,1),(395,1),(396,1)}
       354:{1,3,4,5,7}:{(306,1),(307,1),(309,1),(318,1),(381,1),(394,1),(396,1),(397,1),(404,1),(454,1),(469,1)}
       355:{3,6,7}:{(308,1),(396,1)}
       356:{2,4,6,7}:{(309,1),(310,1),(397,1),(398,1),(399,1),(470,1)}
       357:{1,5,6,7}:{(310,1),(399,1),(406,1),(456,1)}
       358:{1,3,4,6}:{(311,1),(312,1),(321,1),(391,1),(400,1),(401,1)}
       359:{1,3,5,6}:{(312,1),(313,1),(316,1),(392,1),(400,1),(401,1)}
       360:{1,2,4,5,6}:{(313,1),(314,1),(317,1),(323,1),(393,1),(401,1),(402,1),(403,1),(408,1),(467,1),(472,1),(515,1),(536,1)}
       361:{1,3,5,6}:{(314,1),(315,1),(318,1),(324,1),(403,1)}
       362:{1,4,7}:{(316,1),(395,1),(401,1)}
       363:{1,3,5,7}:{(317,1),(319,1),(396,1),(402,1),(404,1),(405,1),(537,1)}
       364:{2,5,7}:{(318,1),(320,1),(403,1),(406,1)}
       365:{2,3,6,7}:{(319,1),(320,1),(405,1),(407,1),(410,1),(470,1)}
       366:{1,4,6,7}:{(320,1),(406,1),(407,1),(411,1),(474,1)}
       367:{1,2,5}:{(321,1),(400,1)}
       368:{1,2,4,6}:{(322,1),(325,1),(401,1),(408,1),(409,1),(472,1),(550,1)}
       369:{1,3,6}:{(323,1),(326,1),(410,1)}
       370:{2,4,6}:{(324,1),(327,1),(403,1),(410,1),(411,1)}
       371:{1,3,4,7}:{(325,1),(326,1),(409,1),(412,1),(537,1)}
       372:{2,3,5,7}:{(326,1),(327,1),(410,1),(412,1),(413,1),(476,1)}
       373:{1,4,5,7}:{(327,1),(406,1),(411,1),(413,1),(474,1),(517,1)}
       374:{1,3,4,7}:{(328,1),(329,1),(339,1),(347,1),(414,1),(418,1),(548,1)}
       375:{1,3,6}:{(329,1),(330,1),(348,1)}
       376:{1,2,5,6}:{(330,1),(331,1),(334,1),(349,1),(415,1),(423,1),(441,1)}
       377:{1,4,5,6}:{(331,1),(332,1),(335,1),(342,1),(417,1)}
       378:{3,5,6}:{(332,1),(336,1),(343,1)}
       379:{1,3,5,7}:{(333,1),(334,1),(352,1),(415,1),(418,1)}
       380:{1,2,4,5,7}:{(334,1),(335,1),(337,1),(353,1),(416,1),(418,1),(419,1),(420,1),(436,1),(484,1),(496,1),(500,1)}
       381:{1,3,5,7}:{(335,1),(336,1),(338,1),(417,1),(420,1)}
       382:{1,3,6,7}:{(337,1),(355,1),(419,1),(421,1),(425,1)}
       383:{2,4,6,7}:{(338,1),(420,1),(421,1),(422,1),(426,1),(484,1)}
       384:{1,2,4,6}:{(339,1),(340,1),(414,1),(423,1)}
       385:{1,2,3,5,6}:{(340,1),(341,1),(344,1),(415,1),(423,1),(424,1),(425,1),(482,1),(487,1),(499,1),(533,1),(534,1)}
       386:{1,2,4,6}:{(341,1),(342,1),(345,1),(425,1),(426,1)}
       387:{1,3,4,6}:{(342,1),(343,1),(346,1),(417,1),(425,1),(426,1)}
       388:{1,2,4,7}:{(344,1),(418,1),(424,1),(427,1),(484,1)}
       389:{1,3,5,7}:{(345,1),(425,1),(427,1),(428,1),(487,1)}
       390:{2,4,5,7}:{(346,1),(420,1),(426,1),(428,1),(429,1),(484,1),(522,1)}
       391:{2,3,4,6}:{(347,1),(348,1),(358,1),(414,1),(430,1),(431,1)}
       392:{2,3,5,6}:{(348,1),(349,1),(352,1),(359,1),(415,1),(430,1),(431,1),(432,1)}
       393:{2,4,5,6}:{(349,1),(350,1),(353,1),(431,1),(432,1)}
       394:{1,3,4,5,6}:{(350,1),(351,1),(354,1),(361,1),(417,1),(432,1),(433,1),(439,1),(481,1),(494,1)}
       395:{2,4,7}:{(352,1),(362,1),(418,1),(431,1),(434,1)}
       396:{3,5,7}:{(353,1),(355,1),(432,1),(434,1)}
       397:{2,4,5,7}:{(354,1),(356,1),(364,1),(420,1),(433,1),(435,1),(436,1),(442,1),(484,1),(496,1)}
       398:{2,3,6,7}:{(355,1),(356,1),(435,1),(437,1)}
       399:{1,4,6,7}:{(356,1),(357,1),(436,1),(437,1)}
       400:{1,3,5}:{(358,1),(367,1),(430,1),(438,1)}
       401:{1,4,6}:{(359,1),(362,1),(431,1),(438,1)}
       402:{1,3,5,6}:{(360,1),(363,1),(369,1),(432,1),(439,1),(440,1),(445,1),(545,1)}
       403:{2,5,6}:{(361,1),(364,1),(370,1),(441,1)}
       404:{1,3,4,7}:{(362,1),(363,1),(434,1),(439,1),(442,1)}
       405:{2,3,5,7}:{(363,1),(364,1),(365,1),(440,1),(442,1),(443,1),(496,1),(531,1)}
       406:{1,5,7}:{(364,1),(366,1),(441,1)}
       407:{1,3,6,7}:{(365,1),(366,1),(443,1),(444,1),(447,1)}
       408:{1,2,4,5}:{(367,1),(368,1),(438,1),(445,1),(497,1)}
       409:{1,3,4,6}:{(368,1),(369,1),(371,1),(445,1),(446,1),(545,1),(552,1)}
       410:{2,3,6}:{(369,1),(370,1),(372,1),(447,1)}
       411:{1,4,6}:{(370,1),(373,1),(441,1),(447,1)}
       412:{2,3,4,7}:{(371,1),(372,1),(442,1),(446,1),(448,1),(531,1)}
       413:{1,3,5,7}:{(372,1),(373,1),(447,1),(448,1),(449,1),(501,1)}
       414:{1,3,4,6}:{(374,1),(375,1),(384,1),(391,1),(450,1),(451,1)}
       415:{1,3,5,6}:{(375,1),(376,1),(379,1),(392,1),(450,1),(451,1)}
       416:{1,2,4,5,6}:{(376,1),(377,1),(380,1),(386,1),(393,1),(451,1),(452,1),(453,1),(458,1),(467,1),(505,1),(515,1),(518,1)}
       417:{1,3,5,6}:{(377,1),(378,1),(381,1),(387,1),(453,1)}
       418:{1,4,7}:{(379,1),(395,1),(451,1)}
       419:{1,3,5,7}:{(380,1),(382,1),(396,1),(452,1),(454,1),(455,1),(519,1)}
       420:{2,5,7}:{(381,1),(383,1),(453,1),(456,1)}
       421:{2,3,6,7}:{(382,1),(383,1),(455,1),(457,1),(460,1),(470,1)}
       422:{1,4,6,7}:{(383,1),(456,1),(457,1),(461,1),(507,1)}
       423:{1,2,5}:{(384,1),(450,1)}
       424:{1,2,4,6}:{(385,1),(388,1),(451,1),(458,1),(459,1),(505,1),(543,1)}
       425:{1,3,6}:{(386,1),(389,1),(460,1)}
       426:{2,4,6}:{(387,1),(390,1),(453,1),(460,1),(461,1)}
       427:{1,3,4,7}:{(388,1),(389,1),(459,1),(462,1),(519,1)}
       428:{2,3,5,7}:{(389,1),(390,1),(460,1),(462,1),(463,1),(509,1)}
       429:{1,4,5,7}:{(390,1),(456,1),(461,1),(463,1),(507,1),(535,1)}
       430:{2,3,5}:{(391,1),(400,1),(450,1),(464,1)}
       431:{2,4,6}:{(392,1),(395,1),(401,1),(451,1),(464,1),(465,1)}
       432:{3,5,6}:{(393,1),(396,1),(465,1)}
       433:{2,4,5,6}:{(394,1),(397,1),(403,1),(453,1),(466,1),(467,1),(472,1),(505,1),(515,1)}
       434:{3,4,7}:{(395,1),(396,1),(465,1)}
       435:{2,3,5,7}:{(396,1),(397,1),(398,1),(466,1),(468,1),(469,1)}
       436:{1,4,5,7}:{(397,1),(399,1),(406,1),(456,1),(467,1),(469,1),(474,1),(507,1)}
       437:{1,3,6,7}:{(398,1),(399,1),(469,1),(470,1)}
       438:{1,4,5}:{(400,1),(401,1),(464,1)}
       439:{1,3,4,6}:{(401,1),(402,1),(404,1),(465,1),(471,1),(472,1)}
       440:{2,3,5,6}:{(402,1),(403,1),(405,1),(410,1),(472,1),(473,1),(476,1),(515,1),(541,1)}
       441:{1,5,6}:{(403,1),(406,1),(411,1)}
       442:{2,4,7}:{(404,1),(405,1),(472,1),(474,1)}
       443:{1,3,5,7}:{(405,1),(406,1),(407,1),(473,1),(474,1),(475,1),(519,1)}
       444:{1,2,6,7}:{(407,1),(470,1),(475,1),(478,1)}
       445:{1,3,5}:{(408,1),(409,1),(476,1)}
       446:{2,3,4,6}:{(409,1),(410,1),(412,1),(472,1),(476,1),(477,1),(541,1),(551,1)}
       447:{1,3,6}:{(410,1),(411,1),(413,1),(478,1)}
       448:{1,3,4,7}:{(412,1),(413,1),(474,1),(477,1),(479,1),(519,1)}
       449:{1,2,5,7}:{(413,1),(478,1),(479,1),(520,1)}
       450:{1,3,5}:{(414,1),(423,1),(430,1),(480,1)}
       451:{1,4,6}:{(415,1),(418,1),(431,1),(480,1)}
       452:{1,3,5,6}:{(416,1),(419,1),(425,1),(432,1),(481,1),(482,1),(487,1),(533,1)}
       453:{2,5,6}:{(417,1),(420,1),(426,1),(483,1)}
       454:{1,3,4,7}:{(418,1),(419,1),(434,1),(481,1),(484,1)}
       455:{2,3,5,7}:{(419,1),(420,1),(421,1),(482,1),(484,1),(485,1),(496,1),(531,1)}
       456:{1,5,7}:{(420,1),(422,1),(483,1)}
       457:{1,3,6,7}:{(421,1),(422,1),(485,1),(486,1),(489,1)}
       458:{1,2,4,5}:{(423,1),(424,1),(480,1),(487,1),(522,1)}
       459:{1,3,4,6}:{(424,1),(425,1),(427,1),(487,1),(488,1),(533,1),(548,1)}
       460:{2,3,6}:{(425,1),(426,1),(428,1),(489,1)}
       461:{1,4,6}:{(426,1),(429,1),(483,1),(489,1)}
       462:{2,3,4,7}:{(427,1),(428,1),(484,1),(488,1),(490,1),(531,1)}
       463:{1,3,5,7}:{(428,1),(429,1),(489,1),(490,1),(491,1),(526,1)}
       464:{2,4,5}:{(430,1),(431,1),(438,1),(480,1),(492,1)}
       465:{3,4,6}:{(431,1),(432,1),(434,1),(492,1)}
       466:{2,3,5,6}:{(432,1),(433,1),(435,1),(493,1),(494,1)}
       467:{1,4,5,6}:{(433,1),(436,1),(441,1),(483,1),(494,1),(498,1),(523,1)}
       468:{2,3,4,7}:{(434,1),(435,1),(442,1),(484,1),(493,1),(495,1),(531,1)}
       469:{1,3,5,7}:{(435,1),(436,1),(437,1),(494,1),(495,1),(496,1)}
       470:{2,6,7}:{(437,1),(496,1)}
       471:{1,3,4,5}:{(438,1),(439,1),(445,1),(492,1),(497,1)}
       472:{2,4,6}:{(439,1),(440,1),(442,1),(497,1),(498,1)}
       473:{1,3,5,6}:{(440,1),(441,1),(443,1),(447,1),(498,1),(499,1),(501,1),(533,1)}
       474:{1,4,7}:{(442,1),(443,1),(498,1)}
       475:{1,2,5,7}:{(443,1),(444,1),(496,1),(499,1),(500,1)}
       476:{2,3,5}:{(445,1),(446,1),(497,1),(501,1)}
       477:{1,3,4,6}:{(446,1),(447,1),(448,1),(498,1),(501,1),(502,1),(533,1),(548,1)}
       478:{1,2,6}:{(447,1),(449,1)}
       479:{1,2,4,7}:{(448,1),(449,1),(502,1),(503,1)}
       480:{1,4,5}:{(450,1),(451,1),(464,1)}
       481:{1,3,4,6}:{(451,1),(452,1),(454,1),(465,1),(504,1),(505,1)}
       482:{2,3,5,6}:{(452,1),(453,1),(455,1),(460,1),(505,1),(506,1),(509,1),(515,1),(541,1)}
       483:{1,5,6}:{(453,1),(456,1),(461,1)}
       484:{2,4,7}:{(454,1),(455,1),(505,1),(507,1)}
       485:{1,3,5,7}:{(455,1),(456,1),(457,1),(506,1),(507,1),(508,1),(537,1)}
       486:{1,2,6,7}:{(457,1),(470,1),(508,1),(511,1)}
       487:{1,3,5}:{(458,1),(459,1),(509,1)}
       488:{2,3,4,6}:{(459,1),(460,1),(462,1),(505,1),(509,1),(510,1),(541,1),(551,1)}
       489:{1,3,6}:{(460,1),(461,1),(463,1),(511,1)}
       490:{1,3,4,7}:{(462,1),(463,1),(507,1),(510,1),(512,1),(537,1)}
       491:{1,2,5,7}:{(463,1),(511,1),(512,1),(538,1)}
       492:{3,4,5}:{(464,1),(465,1)}
       493:{2,3,4,6}:{(465,1),(466,1),(468,1),(472,1),(505,1),(513,1),(514,1),(541,1)}
       494:{1,3,5,6}:{(466,1),(467,1),(469,1),(514,1),(515,1)}
       495:{1,3,4,7}:{(468,1),(469,1),(474,1),(507,1),(514,1),(516,1),(519,1),(537,1)}
       496:{2,5,7}:{(469,1),(470,1),(515,1),(516,1)}
       497:{2,4,5}:{(471,1),(472,1),(476,1),(517,1)}
       498:{1,4,6}:{(472,1),(473,1),(474,1),(517,1)}
       499:{1,2,5,6}:{(473,1),(475,1),(478,1),(515,1),(518,1),(520,1)}
       500:{1,2,4,7}:{(474,1),(475,1),(516,1),(518,1),(519,1)}
       501:{1,3,5}:{(476,1),(477,1),(517,1),(520,1)}
       502:{1,2,4,6}:{(477,1),(478,1),(479,1),(520,1),(521,1),(543,1)}
       503:{1,2,3,7}:{(479,1),(519,1),(521,1)}
       504:{1,3,4,5}:{(480,1),(481,1),(487,1),(492,1),(522,1)}
       505:{2,4,6}:{(481,1),(482,1),(484,1),(522,1),(523,1)}
       506:{1,3,5,6}:{(482,1),(483,1),(485,1),(489,1),(523,1),(524,1),(526,1),(545,1)}
       507:{1,4,7}:{(484,1),(485,1),(523,1)}
       508:{1,2,5,7}:{(485,1),(486,1),(496,1),(524,1),(525,1)}
       509:{2,3,5}:{(487,1),(488,1),(522,1),(526,1)}
       510:{1,3,4,6}:{(488,1),(489,1),(490,1),(523,1),(526,1),(527,1),(545,1),(552,1)}
       511:{1,2,6}:{(489,1),(491,1)}
       512:{1,2,4,7}:{(490,1),(491,1),(527,1),(528,1)}
       513:{2,3,4,5}:{(492,1),(493,1),(497,1),(522,1),(529,1),(547,1)}
       514:{1,3,4,6}:{(493,1),(494,1),(495,1),(498,1),(523,1),(529,1),(530,1),(533,1),(545,1)}
       515:{2,5,6}:{(494,1),(496,1),(530,1)}
       516:{2,4,7}:{(495,1),(496,1),(530,1),(531,1)}
       517:{1,4,5}:{(497,1),(498,1),(501,1)}
       518:{1,2,4,6}:{(498,1),(499,1),(500,1),(530,1),(532,1),(533,1)}
       519:{1,3,7}:{(500,1),(531,1),(533,1)}
       520:{1,2,5}:{(501,1),(502,1)}
       521:{1,2,3,6}:{(502,1),(503,1),(533,1),(534,1)}
       522:{2,4,5}:{(504,1),(505,1),(509,1),(535,1)}
       523:{1,4,6}:{(505,1),(506,1),(507,1),(535,1)}
       524:{1,2,5,6}:{(506,1),(508,1),(511,1),(515,1),(536,1),(538,1)}
       525:{1,2,4,7}:{(507,1),(508,1),(516,1),(536,1),(537,1)}
       526:{1,3,5}:{(509,1),(510,1),(535,1),(538,1)}
       527:{1,2,4,6}:{(510,1),(511,1),(512,1),(538,1),(539,1),(550,1)}
       528:{1,2,3,7}:{(512,1),(537,1),(539,1)}
       529:{1,3,4,5}:{(513,1),(514,1),(517,1),(535,1),(540,1),(542,1),(549,1)}
       530:{2,4,6}:{(514,1),(515,1),(516,1),(540,1),(541,1)}
       531:{2,3,7}:{(516,1),(519,1),(537,1),(541,1)}
       532:{1,2,4,5}:{(517,1),(518,1),(520,1),(540,1),(542,1),(543,1)}
       533:{1,3,6}:{(518,1),(519,1),(541,1),(542,1)}
       534:{1,2,3,5}:{(520,1),(521,1),(542,1),(543,1)}
       535:{1,4,5}:{(522,1),(523,1),(526,1)}
       536:{1,2,4,6}:{(523,1),(524,1),(525,1),(530,1),(544,1),(545,1)}
       537:{1,3,7}:{(525,1),(531,1),(545,1)}
       538:{1,2,5}:{(526,1),(527,1)}
       539:{1,2,3,6}:{(527,1),(528,1),(545,1),(546,1)}
       540:{2,4,5}:{(529,1),(530,1),(547,1)}
       541:{2,3,6}:{(530,1),(531,1),(533,1),(545,1),(547,1)}
       542:{1,3,5}:{(532,1),(533,1),(547,1),(548,1)}
       543:{1,2,4}:{(534,1),(548,1)}
       544:{1,2,4,5}:{(535,1),(536,1),(538,1),(540,1),(549,1),(550,1)}
       545:{1,3,6}:{(536,1),(537,1),(541,1),(549,1)}
       546:{1,2,3,5}:{(538,1),(539,1),(549,1),(550,1)}
       547:{2,3,5}:{(540,1),(541,1),(542,1),(549,1),(551,1)}
       548:{1,3,4}:{(542,1),(543,1),(551,1)}
       549:{1,3,5}:{(544,1),(545,1),(547,1),(552,1)}
       550:{1,2,4}:{(546,1),(552,1)}
       551:{2,3,4}:{(547,1),(548,1),(552,1)}
       552:{1,3,4}:{(549,1),(550,1),(551,1)}

2358 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(25,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(20,1),(25,1),(51,1),(57,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(22,1),(51,1),(57,1),(82,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(44,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(36,1),(67,1),(73,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(44,1),(76,1)}
         9:{1,2,4,6,7}:{(6,1),(19,1),(20,1),(21,1),(51,1)}
        10:{1,3,4,6,7}:{(8,1),(19,1),(21,1),(22,1),(48,1),(51,1),(79,1),(82,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(23,1),(24,1),(51,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(25,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(23,1),(26,1),(27,1),(56,1)}
        14:{1,3,6}:{(5,1),(6,1),(27,1)}
        15:{1,2,5,6}:{(6,1),(20,1),(25,1),(28,1),(30,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(26,1),(29,1),(52,1),(81,1),(86,1)}
        17:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(22,1),(30,1),(31,1),(62,1)}
        19:{1,3,6,7}:{(9,1),(14,1),(33,1),(34,1),(110,1)}
        20:{1,2,5,7}:{(9,1),(15,1),(34,1),(36,1),(121,1)}
        21:{2,4,6,7}:{(10,1),(17,1),(33,1),(35,1),(36,1),(67,1)}
        22:{1,3,5,7}:{(10,1),(18,1),(36,1),(37,1),(69,1)}
        23:{2,3,4,7}:{(11,1),(13,1),(38,1),(39,1),(67,1),(111,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(44,1),(116,1),(122,1)}
        25:{1,2,5}:{(12,1),(40,1)}
        26:{1,3,5,7}:{(13,1),(16,1),(38,1),(41,1),(42,1),(72,1)}
        27:{2,3,6}:{(13,1),(14,1),(17,1),(42,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(34,1),(40,1),(43,1),(44,1),(100,1),(116,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(36,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(37,1),(44,1),(46,1),(100,1)}
        32:{1,3,5,6,7}:{(22,1),(47,1),(48,1),(79,1)}
        33:{2,3,6,7}:{(19,1),(21,1),(27,1),(49,1),(50,1),(79,1),(101,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(28,1),(50,1),(51,1),(104,1),(117,1)}
        35:{1,4,6,7}:{(21,1),(29,1),(49,1),(52,1),(81,1)}
        36:{2,5,7}:{(21,1),(22,1),(30,1),(52,1)}
        37:{1,4,5,7}:{(22,1),(31,1),(48,1),(51,1),(53,1),(104,1)}
        38:{1,3,4,7}:{(23,1),(26,1),(54,1),(55,1),(81,1),(102,1)}
        39:{2,3,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(60,1),(108,1),(118,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(57,1)}
        41:{1,2,5,7}:{(26,1),(54,1),(58,1),(85,1)}
        42:{1,3,6}:{(26,1),(27,1),(29,1),(58,1)}
        43:{2,3,5,6}:{(27,1),(28,1),(30,1),(50,1),(56,1),(59,1),(60,1),(62,1),(90,1),(108,1)}
        44:{1,4,6}:{(28,1),(51,1),(57,1),(60,1)}
        45:{1,5,6}:{(29,1),(30,1),(52,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(53,1),(60,1),(61,1),(62,1),(90,1)}
        47:{2,5,6,7}:{(32,1),(36,1),(63,1),(64,1)}
        48:{1,4,6,7}:{(32,1),(37,1),(64,1),(110,1)}
        49:{1,3,6,7}:{(33,1),(35,1),(42,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(33,1),(34,1),(36,1),(43,1),(66,1),(67,1),(69,1),(94,1),(111,1)}
        51:{1,4,7}:{(34,1),(44,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(45,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(46,1),(64,1),(67,1),(68,1),(69,1),(94,1)}
        54:{1,2,4,7}:{(38,1),(41,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(38,1),(39,1),(42,1),(71,1),(72,1),(75,1),(98,1),(113,1)}
        56:{2,3,5}:{(39,1),(40,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(45,1),(66,1),(72,1),(74,1),(75,1),(98,1)}
        60:{2,4,6}:{(43,1),(44,1),(67,1),(73,1),(75,1),(76,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(68,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(69,1),(76,1)}
        63:{1,5,6,7}:{(47,1),(52,1),(78,1)}
        64:{2,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(101,1)}
        65:{1,2,6,7}:{(49,1),(58,1),(80,1),(101,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(52,1),(59,1),(80,1),(81,1),(102,1)}
        67:{2,4,7}:{(50,1),(51,1),(60,1),(81,1),(82,1)}
        68:{1,4,5,7}:{(52,1),(53,1),(61,1),(78,1),(81,1),(83,1)}
        69:{3,5,7}:{(53,1),(62,1),(79,1),(82,1)}
        70:{1,2,3,7}:{(54,1),(84,1),(102,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(58,1),(84,1),(85,1),(105,1)}
        72:{1,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,4,5}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(80,1),(85,1),(88,1),(90,1)}
        75:{1,4,6}:{(59,1),(60,1),(81,1),(86,1)}
        76:{3,4,6}:{(60,1),(62,1),(82,1),(87,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(83,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(63,1),(64,1),(68,1),(91,1)}
        79:{3,6,7}:{(64,1),(69,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(74,1),(92,1),(94,1)}
        81:{1,4,7}:{(66,1),(67,1),(75,1)}
        82:{3,4,7}:{(67,1),(69,1),(76,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,2,3,6}:{(70,1),(71,1),(95,1),(98,1)}
        85:{1,2,5}:{(71,1),(72,1)}
        86:{1,4,5}:{(72,1),(73,1),(75,1)}
        87:{3,4,5}:{(73,1),(76,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(92,1),(96,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(77,1),(93,1),(97,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(94,1),(99,1),(100,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(83,1),(101,1)}
        92:{1,2,4,7}:{(80,1),(81,1),(88,1),(102,1),(103,1)}
        93:{1,3,4,7}:{(81,1),(82,1),(83,1),(89,1),(102,1),(103,1)}
        94:{2,5,7}:{(83,1),(90,1),(101,1),(103,1),(104,1)}
        95:{1,2,3,5}:{(84,1),(85,1),(105,1),(106,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(88,1),(105,1),(106,1),(107,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1)}
        98:{1,3,6}:{(88,1),(102,1),(106,1),(108,1)}
        99:{2,4,6}:{(89,1),(90,1),(103,1),(107,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(104,1),(109,1)}
       101:{2,6,7}:{(91,1),(94,1),(110,1)}
       102:{1,3,7}:{(92,1),(98,1),(111,1)}
       103:{2,4,7}:{(93,1),(94,1),(99,1),(111,1),(112,1)}
       104:{1,5,7}:{(94,1),(100,1),(110,1),(112,1)}
       105:{1,2,4}:{(95,1),(113,1)}
       106:{1,3,5}:{(96,1),(98,1),(113,1),(114,1)}
       107:{2,4,5}:{(97,1),(99,1),(114,1),(115,1)}
       108:{2,3,6}:{(98,1),(99,1),(111,1),(114,1),(116,1)}
       109:{1,4,6}:{(99,1),(100,1),(112,1),(115,1),(116,1)}
       110:{1,6,7}:{(101,1),(104,1)}
       111:{2,3,7}:{(102,1),(103,1),(108,1),(117,1)}
       112:{1,4,7}:{(103,1),(104,1),(109,1),(117,1)}
       113:{1,3,4}:{(105,1),(106,1),(118,1)}
       114:{2,3,5}:{(106,1),(107,1),(108,1),(118,1),(119,1)}
       115:{1,4,5}:{(107,1),(109,1),(119,1)}
       116:{1,3,6}:{(108,1),(109,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2359 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(18,1),(26,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(39,1),(140,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(29,1),(39,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(26,1),(40,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(21,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1),(23,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(54,1),(131,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(23,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(24,1),(26,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(25,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(15,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(33,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(28,1),(33,1),(35,1)}
        22:{2,3,4,5,7}:{(12,1),(14,1),(34,1),(35,1),(36,1),(70,1),(121,1),(138,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(29,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(16,1),(36,1),(38,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(37,1),(39,1),(149,1),(150,1)}
        26:{1,2,5,6}:{(16,1),(38,1),(39,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(55,1),(88,1)}
        28:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(23,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(46,1)}
        32:{1,2,4,5}:{(20,1),(46,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(42,1),(48,1),(50,1)}
        34:{1,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(51,1),(85,1),(110,1),(129,1)}
        35:{2,3,4,7}:{(21,1),(23,1),(43,1),(50,1)}
        36:{2,3,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(25,1),(44,1),(52,1),(54,1),(79,1),(144,1),(145,1)}
        38:{1,3,5,6}:{(24,1),(26,1),(53,1),(54,1),(55,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(54,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(33,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(35,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(149,1)}
        46:{1,2,3,5}:{(31,1),(32,1),(63,1)}
        47:{1,2,3,4,7}:{(31,1),(64,1),(65,1),(119,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(59,1),(63,1),(66,1)}
        49:{1,2,4,5,7}:{(32,1),(34,1),(64,1),(66,1),(67,1),(97,1),(98,1),(119,1)}
        50:{1,3,4,7}:{(33,1),(35,1),(60,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(36,1),(67,1),(69,1)}
        52:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(61,1),(68,1),(70,1),(94,1),(136,1),(138,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(70,1),(72,1)}
        55:{1,4,5,6}:{(38,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(48,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(50,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(54,1),(78,1),(79,1),(143,1),(144,1)}
        63:{1,2,3,6}:{(46,1),(48,1),(80,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,4,6}:{(47,1),(81,1),(82,1),(109,1)}
        66:{1,2,4,7}:{(48,1),(50,1),(76,1),(80,1)}
        67:{1,2,4,6}:{(49,1),(51,1),(81,1),(84,1)}
        68:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(85,1),(106,1),(127,1),(129,1)}
        69:{1,3,5,6}:{(51,1),(53,1),(84,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(52,1),(53,1),(54,1),(85,1),(87,1)}
        71:{2,4,5,6}:{(53,1),(55,1),(86,1),(87,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(87,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(66,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(70,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,7}:{(63,1),(66,1)}
        81:{1,2,3,6}:{(64,1),(67,1)}
        82:{1,2,3,5}:{(65,1),(97,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(92,1),(95,1),(98,1),(119,1)}
        84:{1,2,5,6}:{(67,1),(69,1),(98,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1)}
        86:{1,4,5,6}:{(69,1),(71,1),(100,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(100,1),(102,1)}
        88:{3,4,5,6}:{(71,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(143,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(85,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(87,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(80,1),(81,1),(83,1),(108,1),(127,1)}
        96:{1,2,3,5,6}:{(81,1),(82,1),(84,1),(108,1),(109,1),(112,1)}
        97:{1,2,4,5}:{(82,1),(109,1),(110,1)}
        98:{1,2,5,7}:{(83,1),(84,1),(85,1)}
        99:{1,2,4,5,6}:{(84,1),(86,1),(109,1),(111,1),(112,1),(114,1)}
       100:{1,4,5,7}:{(85,1),(86,1),(87,1),(106,1)}
       101:{1,3,4,5,6}:{(86,1),(88,1),(112,1),(113,1),(114,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(98,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(100,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(119,1),(122,1)}
       109:{1,2,4,6}:{(96,1),(97,1),(119,1),(120,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(117,1),(119,1),(122,1),(124,1)}
       112:{1,3,5,6}:{(99,1),(120,1),(122,1),(123,1)}
       113:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(122,1),(124,1)}
       114:{2,4,5,6}:{(101,1),(123,1),(124,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(111,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(113,1),(126,1),(127,1),(128,1)}
       119:{1,2,4,7}:{(108,1),(109,1),(129,1)}
       120:{1,3,4,6}:{(109,1),(110,1),(112,1),(129,1),(130,1)}
       121:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       122:{1,3,5,7}:{(111,1),(112,1),(127,1),(129,1),(132,1)}
       123:{2,3,5,6}:{(112,1),(114,1),(130,1),(132,1),(133,1)}
       124:{2,4,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(114,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(122,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(124,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,7}:{(119,1),(120,1),(122,1),(138,1)}
       130:{2,3,4,6}:{(120,1),(121,1),(123,1),(138,1),(139,1)}
       131:{1,3,4,5}:{(121,1),(139,1),(140,1)}
       132:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(138,1),(141,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(139,1),(141,1),(142,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(141,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(143,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,4,6}:{(130,1),(131,1),(133,1),(145,1),(146,1)}
       140:{1,2,4,5}:{(131,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(134,1),(144,1),(145,1),(148,1)}
       142:{1,2,5,6}:{(133,1),(146,1),(148,1)}
       143:{1,5,6,7}:{(135,1),(137,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1),(149,1)}
       145:{1,3,4,7}:{(138,1),(139,1),(141,1),(150,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(141,1),(142,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2360 :   0:{1,2,3,4,7}:{(1,1),(2,1),(34,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(120,1),(148,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(57,1),(111,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(10,1),(13,1),(32,1),(34,1),(99,1),(136,1)}
         5:{1,2,3,6}:{(1,1),(10,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(90,1),(128,1)}
         8:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(23,1),(45,1),(50,1),(78,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(18,1),(20,1)}
        11:{1,2,3,6,7}:{(5,1),(19,1),(21,1),(85,1),(148,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(49,1)}
        13:{1,2,4,5}:{(6,1),(22,1),(23,1)}
        14:{1,2,4,5,7}:{(7,1),(24,1),(25,1),(28,1),(55,1),(57,1),(70,1),(109,1)}
        15:{1,2,3,6}:{(7,1),(25,1)}
        16:{1,2,3,5}:{(8,1),(28,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(36,1),(59,1),(60,1),(68,1),(97,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(32,1),(34,1),(136,1),(152,1)}
        20:{1,2,5,6}:{(10,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(32,1),(34,1),(66,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1)}
        23:{1,3,4,5}:{(13,1),(35,1),(36,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(42,1),(52,1),(71,1),(76,1),(88,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(37,1),(39,1)}
        26:{1,2,3,6,7}:{(15,1),(38,1),(40,1),(115,1),(128,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(39,1),(40,1),(41,1),(75,1)}
        28:{1,2,4,5}:{(16,1),(41,1),(42,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(44,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(43,1),(45,1),(50,1),(82,1),(85,1),(118,1),(146,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(44,1),(45,1),(46,1)}
        32:{1,2,5,7}:{(19,1),(20,1),(45,1)}
        33:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(48,1),(49,1),(84,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,6}:{(22,1),(23,1),(49,1),(50,1),(51,1)}
        36:{2,3,4,5}:{(23,1),(51,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(54,1)}
        38:{1,2,4,6,7}:{(25,1),(26,1),(53,1),(55,1),(57,1),(109,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(26,1),(27,1),(55,1),(57,1),(95,1)}
        41:{1,2,4,6}:{(27,1),(28,1),(57,1),(58,1)}
        42:{1,3,4,5}:{(28,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(29,1),(30,1),(53,1),(60,1),(68,1),(97,1),(100,1),(106,1),(133,1)}
        44:{2,3,5,6}:{(29,1),(31,1),(54,1),(60,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{1,4,5,6}:{(31,1),(61,1),(63,1)}
        47:{1,2,5,6,7}:{(32,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(63,1),(65,1),(66,1),(104,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(66,1),(67,1)}
        50:{1,3,4,7}:{(34,1),(35,1),(66,1),(68,1)}
        51:{2,3,4,6}:{(35,1),(36,1),(67,1),(68,1),(69,1)}
        52:{1,3,4,5}:{(36,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(37,1),(38,1),(43,1),(71,1),(76,1),(88,1),(112,1),(115,1),(126,1)}
        54:{1,3,5,6}:{(37,1),(39,1),(44,1),(71,1),(72,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{1,2,4,5,6}:{(39,1),(41,1),(72,1),(74,1),(75,1),(114,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(76,1)}
        58:{1,3,4,6}:{(41,1),(42,1),(75,1),(76,1),(77,1)}
        59:{2,3,4,5}:{(42,1),(77,1),(78,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(80,1)}
        61:{2,4,5,6}:{(44,1),(46,1),(72,1),(80,1),(81,1)}
        62:{1,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(85,1),(146,1),(153,1)}
        63:{1,4,5,7}:{(45,1),(46,1),(80,1),(82,1)}
        64:{1,3,4,5,6}:{(46,1),(49,1),(81,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(82,1),(85,1),(124,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(85,1),(86,1)}
        67:{2,3,5,6}:{(49,1),(51,1),(84,1),(86,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(51,1),(86,1),(88,1)}
        69:{1,3,4,6}:{(51,1),(52,1),(87,1),(88,1),(89,1)}
        70:{1,2,4,5}:{(52,1),(89,1),(90,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(60,1),(92,1)}
        72:{1,4,5,6}:{(54,1),(61,1),(92,1)}
        73:{1,2,5,6,7}:{(55,1),(91,1),(94,1),(142,1),(150,1)}
        74:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(92,1),(94,1),(95,1),(131,1)}
        75:{1,3,5,6}:{(56,1),(58,1),(95,1),(96,1)}
        76:{1,3,4,7}:{(57,1),(58,1),(95,1),(97,1)}
        77:{2,3,4,6}:{(58,1),(59,1),(96,1),(97,1),(98,1)}
        78:{1,3,4,5}:{(59,1),(98,1),(99,1)}
        79:{2,3,5,6,7}:{(60,1),(62,1),(91,1),(100,1),(106,1),(133,1),(139,1),(140,1),(150,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(63,1),(92,1),(100,1),(101,1)}
        81:{3,4,5,6}:{(61,1),(101,1)}
        82:{1,4,6,7}:{(62,1),(63,1),(100,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(101,1),(103,1),(104,1)}
        84:{2,4,5,6}:{(64,1),(67,1),(104,1),(105,1)}
        85:{1,3,6,7}:{(65,1),(66,1),(106,1)}
        86:{2,3,5,7}:{(66,1),(67,1),(68,1),(104,1),(106,1),(107,1)}
        87:{1,3,5,6}:{(67,1),(69,1),(105,1),(107,1),(108,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(107,1),(109,1)}
        89:{1,2,4,6}:{(69,1),(70,1),(108,1),(109,1),(110,1)}
        90:{1,2,3,5}:{(70,1),(110,1),(111,1)}
        91:{1,3,5,6,7}:{(71,1),(73,1),(79,1),(112,1),(115,1),(126,1),(149,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(80,1),(112,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(113,1),(114,1)}
        94:{1,2,4,6,7}:{(73,1),(74,1),(112,1),(115,1),(144,1)}
        95:{1,3,5,7}:{(74,1),(75,1),(76,1),(115,1),(116,1)}
        96:{2,3,5,6}:{(75,1),(77,1),(114,1),(116,1),(117,1)}
        97:{2,3,4,7}:{(76,1),(77,1),(116,1),(118,1)}
        98:{1,3,4,6}:{(77,1),(78,1),(117,1),(118,1),(119,1)}
        99:{1,2,4,5}:{(78,1),(119,1),(120,1)}
       100:{2,4,6,7}:{(79,1),(80,1),(82,1),(112,1),(122,1)}
       101:{3,4,5,7}:{(80,1),(81,1),(122,1)}
       102:{1,4,5,6,7}:{(82,1),(121,1),(123,1),(153,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(122,1),(123,1),(124,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,4,5,6}:{(84,1),(87,1),(125,1)}
       106:{2,3,6,7}:{(85,1),(86,1),(124,1),(126,1)}
       107:{1,3,5,7}:{(86,1),(87,1),(88,1),(125,1),(126,1),(127,1)}
       108:{1,2,5,6}:{(87,1),(89,1),(127,1)}
       109:{1,2,4,7}:{(88,1),(89,1),(127,1),(128,1)}
       110:{1,2,3,6}:{(89,1),(90,1),(128,1)}
       111:{1,2,3,4}:{(90,1)}
       112:{1,4,6,7}:{(91,1),(92,1),(100,1)}
       113:{1,3,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(130,1),(131,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(131,1),(132,1)}
       115:{1,3,6,7}:{(94,1),(95,1),(133,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(97,1),(131,1),(133,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(98,1),(132,1),(134,1),(135,1)}
       118:{1,3,4,7}:{(97,1),(98,1),(134,1),(136,1)}
       119:{1,2,4,6}:{(98,1),(99,1),(135,1),(136,1),(137,1)}
       120:{1,2,3,5}:{(99,1),(137,1),(138,1)}
       121:{2,4,5,6,7}:{(100,1),(102,1),(129,1),(139,1),(140,1),(150,1)}
       122:{3,4,6,7}:{(100,1),(101,1),(139,1)}
       123:{1,3,5,6,7}:{(102,1),(103,1),(139,1),(140,1)}
       124:{2,4,6,7}:{(103,1),(104,1),(106,1),(140,1),(141,1)}
       125:{1,4,5,7}:{(104,1),(105,1),(107,1),(141,1)}
       126:{1,3,6,7}:{(106,1),(107,1),(141,1),(142,1)}
       127:{1,2,5,7}:{(107,1),(108,1),(109,1),(142,1)}
       128:{1,2,3,7}:{(109,1),(110,1)}
       129:{1,4,5,6,7}:{(112,1),(121,1),(143,1),(149,1)}
       130:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(122,1),(143,1),(144,1)}
       131:{2,4,5,7}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,3,6,7}:{(115,1),(116,1),(144,1),(146,1)}
       134:{1,3,5,7}:{(116,1),(117,1),(118,1),(145,1),(146,1),(147,1)}
       135:{1,2,5,6}:{(117,1),(119,1),(147,1)}
       136:{1,2,4,7}:{(118,1),(119,1),(147,1),(148,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,3,4}:{(120,1)}
       139:{3,5,6,7}:{(121,1),(122,1)}
       140:{2,5,6,7}:{(123,1),(124,1),(149,1)}
       141:{1,4,6,7}:{(124,1),(125,1),(126,1),(149,1)}
       142:{1,2,6,7}:{(126,1),(127,1)}
       143:{1,3,5,6,7}:{(129,1),(130,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(130,1),(131,1),(133,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(131,1),(132,1),(134,1),(151,1)}
       146:{1,3,6,7}:{(133,1),(134,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       148:{1,2,3,7}:{(136,1),(137,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2361 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2362 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(121,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(68,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(68,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(113,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(67,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(82,1),(118,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(51,1),(103,1),(119,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(51,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(49,1),(54,1),(82,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(51,1),(83,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(110,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(93,1),(110,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(66,1),(92,1),(111,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(68,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(64,1),(69,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(58,1),(68,1),(88,1),(96,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(72,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(43,1),(44,1),(101,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(42,1),(45,1),(46,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(43,1),(45,1),(46,1),(78,1),(80,1),(101,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(45,1)}
        31:{2,3,5}:{(17,1),(19,1),(46,1),(49,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(117,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(108,1),(119,1)}
        34:{1,4,5}:{(19,1),(49,1),(51,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(53,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(47,1),(52,1),(54,1),(82,1)}
        38:{2,5,6}:{(23,1),(25,1),(53,1),(54,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(51,1),(55,1),(56,1),(108,1)}
        41:{1,3,5,6,7}:{(39,1),(57,1),(58,1),(88,1)}
        42:{1,2,5,7}:{(26,1),(28,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(59,1),(60,1),(61,1)}
        44:{1,2,3,5}:{(27,1),(60,1),(61,1),(91,1)}
        45:{1,3,6}:{(28,1),(30,1),(36,1),(59,1)}
        46:{1,3,5}:{(29,1),(31,1),(60,1),(64,1)}
        47:{2,3,6,7}:{(30,1),(32,1),(37,1),(62,1),(65,1),(88,1),(109,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(63,1),(65,1),(66,1),(72,1),(98,1),(111,1)}
        49:{2,4,5}:{(31,1),(34,1),(64,1),(66,1),(67,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(35,1),(65,1),(68,1),(116,1),(123,1)}
        51:{1,4,6}:{(33,1),(34,1),(66,1),(68,1)}
        52:{1,4,6,7}:{(36,1),(37,1),(62,1),(69,1),(93,1)}
        53:{1,5,6}:{(36,1),(38,1),(69,1)}
        54:{2,5,7}:{(37,1),(38,1),(39,1),(69,1)}
        55:{2,4,5,6}:{(38,1),(40,1),(66,1),(70,1),(71,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(71,1),(116,1)}
        57:{2,5,6,7}:{(41,1),(54,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(117,1)}
        59:{1,2,6}:{(42,1),(45,1)}
        60:{1,2,5}:{(43,1),(46,1)}
        61:{1,2,4}:{(44,1),(78,1)}
        62:{1,3,6,7}:{(45,1),(47,1),(52,1),(75,1),(79,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(53,1),(76,1),(79,1),(80,1),(101,1)}
        64:{1,4,5}:{(46,1),(49,1),(80,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(54,1),(79,1),(82,1),(86,1),(107,1),(118,1)}
        66:{2,4,6}:{(48,1),(49,1),(51,1),(80,1),(82,1),(83,1)}
        67:{3,4,5}:{(49,1),(83,1)}
        68:{1,4,7}:{(50,1),(51,1),(82,1)}
        69:{1,5,7}:{(52,1),(53,1),(54,1)}
        70:{1,4,5,6}:{(53,1),(55,1),(80,1),(84,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(82,1),(84,1),(86,1),(107,1)}
        72:{3,5,6}:{(55,1),(83,1),(86,1)}
        73:{1,5,6,7}:{(57,1),(69,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(71,1),(87,1),(88,1),(109,1)}
        75:{1,2,6,7}:{(59,1),(62,1),(89,1),(109,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(89,1),(90,1),(98,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(64,1),(90,1),(91,1),(95,1)}
        78:{1,3,4}:{(61,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(89,1),(93,1),(110,1)}
        80:{1,4,6}:{(63,1),(64,1),(66,1),(93,1)}
        81:{1,3,4,5}:{(64,1),(67,1),(91,1),(94,1),(95,1)}
        82:{2,4,7}:{(65,1),(66,1),(68,1),(93,1),(96,1)}
        83:{3,4,6}:{(66,1),(67,1),(72,1),(96,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(97,1)}
        85:{1,3,5,6}:{(70,1),(72,1),(94,1),(97,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(84,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{1,2,5,7}:{(75,1),(76,1),(79,1),(100,1),(107,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(100,1),(101,1),(105,1)}
        91:{1,3,5}:{(77,1),(78,1),(101,1),(102,1)}
        92:{2,3,4}:{(78,1),(102,1),(103,1)}
        93:{1,4,7}:{(79,1),(80,1),(82,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(85,1),(101,1),(104,1),(105,1)}
        95:{2,4,5}:{(81,1),(102,1),(105,1),(106,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(104,1),(107,1)}
        98:{2,5,6}:{(85,1),(105,1),(107,1),(108,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(97,1),(109,1)}
       100:{1,2,4,7}:{(89,1),(90,1),(93,1),(110,1),(114,1)}
       101:{1,3,6}:{(90,1),(91,1),(110,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(95,1),(111,1),(112,1)}
       103:{1,3,4}:{(92,1),(112,1),(113,1)}
       104:{1,3,4,7}:{(93,1),(94,1),(96,1),(97,1),(110,1),(114,1)}
       105:{2,4,6}:{(94,1),(95,1),(98,1),(111,1),(114,1),(115,1)}
       106:{1,4,5}:{(95,1),(112,1),(115,1)}
       107:{2,5,7}:{(97,1),(98,1),(109,1),(114,1),(116,1)}
       108:{1,5,6}:{(98,1),(115,1),(116,1)}
       109:{2,6,7}:{(99,1),(107,1),(117,1)}
       110:{1,3,7}:{(100,1),(101,1),(118,1)}
       111:{2,3,6}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,3,5}:{(102,1),(103,1),(106,1),(119,1),(120,1)}
       113:{1,2,4}:{(103,1),(120,1),(121,1)}
       114:{2,4,7}:{(104,1),(105,1),(107,1),(118,1),(122,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(119,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(117,1),(122,1)}
       117:{1,6,7}:{(109,1),(116,1)}
       118:{2,3,7}:{(110,1),(111,1),(114,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(115,1),(123,1),(124,1)}
       120:{1,2,5}:{(112,1),(113,1),(124,1)}
       121:{1,2,3}:{(113,1)}
       122:{1,4,7}:{(114,1),(115,1),(116,1),(123,1)}
       123:{1,3,7}:{(118,1),(119,1),(122,1),(125,1)}
       124:{1,2,6}:{(119,1),(120,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2363 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2364 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2365 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2366 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2367 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2368 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2369 :   0:{1,2,3,6,7}:{(5,1),(6,1),(91,1),(98,1),(121,1),(230,1),(232,1),(327,1)}
         1:{1,4,5,6,7}:{(4,1),(7,1),(97,1),(107,1),(235,1)}
         2:{1,2,3,5,6}:{(5,1),(8,1),(34,1),(42,1),(48,1),(98,1),(121,1),(126,1),(128,1),(205,1),(224,1),(318,1)}
         3:{1,3,4,5,6}:{(9,1),(10,1),(29,1),(46,1),(100,1),(130,1),(210,1),(233,1)}
         4:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(19,1),(57,1),(63,1),(160,1),(279,1)}
         5:{1,2,3,5,7}:{(0,1),(2,1),(15,1),(18,1),(74,1),(180,1),(182,1),(283,1),(365,1)}
         6:{1,2,4,6,7}:{(0,1),(15,1),(17,1),(18,1),(75,1),(139,1),(148,1),(255,1),(289,1)}
         7:{1,3,5,6,7}:{(1,1),(13,1),(16,1),(19,1),(290,1)}
         8:{1,2,4,6}:{(2,1),(15,1),(22,1),(23,1),(66,1),(181,1),(364,1)}
         9:{2,4,5,6}:{(3,1),(21,1),(24,1),(25,1),(83,1),(181,1),(288,1)}
        10:{1,3,4,5,7}:{(3,1),(16,1),(25,1),(59,1),(84,1),(153,1),(184,1),(270,1),(290,1)}
        11:{1,2,3,6,7}:{(26,1),(27,1),(37,1),(98,1),(200,1),(310,1),(312,1),(327,1)}
        12:{1,4,5,6,7}:{(4,1),(28,1),(43,1),(107,1),(315,1)}
        13:{3,5,6,7}:{(4,1),(31,1),(219,1),(330,1)}
        14:{2,3,4,5}:{(35,1),(36,1),(127,1),(209,1),(222,1)}
        15:{1,2,4,7}:{(5,1),(8,1),(38,1),(239,1),(401,1)}
        16:{1,3,4,6,7}:{(7,1),(10,1),(31,1),(40,1),(107,1),(119,1),(219,1)}
        17:{1,3,4,6,7}:{(6,1),(32,1),(38,1),(41,1),(121,1),(123,1),(195,1),(204,1),(309,1),(327,1),(394,1),(401,1)}
        18:{1,2,5,7}:{(6,1),(41,1),(42,1),(205,1),(339,1)}
        19:{2,5,6,7}:{(7,1),(40,1),(43,1),(339,1)}
        20:{1,2,3,6}:{(34,1),(37,1),(44,1),(224,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(46,1),(47,1),(210,1)}
        22:{1,3,4,6}:{(8,1),(38,1),(45,1),(48,1),(111,1),(121,1),(224,1)}
        23:{1,2,4,5}:{(8,1),(48,1),(127,1),(205,1),(317,1)}
        24:{1,4,5,6}:{(9,1),(46,1),(50,1),(236,1),(337,1)}
        25:{2,4,5,7}:{(9,1),(10,1),(40,1),(47,1),(50,1),(129,1),(239,1),(339,1)}
        26:{1,2,3,5,7}:{(11,1),(51,1),(53,1),(56,1),(142,1),(351,1),(353,1),(365,1),(414,1)}
        27:{1,2,4,6,7}:{(11,1),(53,1),(55,1),(56,1),(71,1),(143,1),(148,1),(170,1),(359,1)}
        28:{1,3,5,6,7}:{(12,1),(13,1),(54,1),(57,1),(360,1)}
        29:{3,4,5,6}:{(58,1),(59,1),(277,1),(423,1)}
        30:{2,3,4,5,7}:{(14,1),(61,1),(62,1),(70,1),(132,1),(151,1),(159,1),(171,1),(245,1),(256,1),(271,1),(362,1),(425,1)}
        31:{3,4,6,7}:{(13,1),(59,1),(63,1)}
        32:{2,3,4,6,7}:{(17,1),(55,1),(64,1),(72,1),(140,1),(149,1),(161,1),(172,1),(257,1),(263,1),(276,1),(278,1),(289,1),(359,1),(367,1),(370,1),(425,1)}
        33:{2,3,5,6,7}:{(13,1),(19,1),(57,1),(63,1),(65,1),(73,1),(141,1),(151,1)}
        34:{1,2,3,5}:{(20,1),(66,1),(81,1),(164,1)}
        35:{1,3,4,5}:{(14,1),(68,1),(69,1),(164,1),(178,1)}
        36:{2,3,4,6}:{(14,1),(21,1),(69,1),(70,1),(181,1),(269,1),(281,1)}
        37:{1,2,3,7}:{(20,1),(71,1),(283,1)}
        38:{1,3,4,7}:{(15,1),(22,1),(72,1),(74,1),(283,1)}
        39:{1,2,4,5,7}:{(15,1),(18,1),(23,1),(74,1),(75,1),(77,1),(171,1)}
        40:{2,4,6,7}:{(16,1),(19,1),(25,1),(73,1),(76,1),(173,1)}
        41:{1,3,5,7}:{(17,1),(18,1),(64,1),(77,1),(78,1),(264,1),(421,1)}
        42:{1,2,5,6}:{(18,1),(75,1),(78,1),(255,1),(288,1)}
        43:{1,5,6,7}:{(19,1),(76,1),(379,1)}
        44:{1,2,4,6}:{(20,1),(66,1),(71,1),(80,1),(81,1),(170,1)}
        45:{2,3,4,6}:{(22,1),(67,1),(72,1),(80,1),(82,1),(163,1),(167,1),(172,1),(181,1),(281,1)}
        46:{1,3,5,6}:{(21,1),(24,1),(69,1),(83,1),(84,1)}
        47:{2,3,5,7}:{(21,1),(25,1),(70,1),(73,1),(84,1),(270,1)}
        48:{1,3,5}:{(22,1),(23,1),(82,1)}
        49:{1,2,4,5,6}:{(23,1),(24,1),(75,1),(83,1),(86,1),(87,1),(152,1),(165,1),(176,1),(181,1),(265,1),(288,1),(292,1),(364,1),(375,1),(424,1)}
        50:{1,4,5,7}:{(24,1),(25,1),(76,1),(84,1),(293,1),(379,1)}
        51:{1,2,3,5,6}:{(26,1),(88,1),(96,1),(98,1),(185,1),(192,1),(200,1),(205,1),(302,1),(304,1),(318,1),(384,1)}
        52:{1,3,4,5,6}:{(29,1),(89,1),(90,1),(100,1),(190,1),(210,1),(306,1),(313,1)}
        53:{1,2,4,7}:{(26,1),(88,1),(92,1),(391,1),(401,1)}
        54:{1,3,4,6,7}:{(28,1),(31,1),(90,1),(94,1),(107,1),(198,1),(219,1)}
        55:{1,3,4,6,7}:{(27,1),(32,1),(92,1),(95,1),(116,1),(200,1),(202,1),(204,1),(229,1),(327,1),(338,1),(401,1)}
        56:{1,2,5,7}:{(27,1),(95,1),(96,1),(205,1),(395,1)}
        57:{2,5,6,7}:{(28,1),(94,1),(97,1),(395,1)}
        58:{2,4,5,6}:{(29,1),(99,1),(100,1),(101,1),(398,1)}
        59:{3,4,5,7}:{(29,1),(31,1),(101,1),(330,1),(440,1)}
        60:{1,2,3,5,7}:{(34,1),(37,1),(91,1),(98,1),(102,1),(117,1),(185,1),(196,1),(205,1),(213,1)}
        61:{1,3,4,5,7}:{(30,1),(35,1),(104,1),(105,1),(115,1),(186,1),(208,1),(209,1),(213,1),(228,1),(300,1),(308,1),(317,1),(323,1),(401,1)}
        62:{2,3,4,6}:{(30,1),(99,1),(105,1),(218,1),(231,1),(311,1),(325,1),(398,1)}
        63:{2,4,6,7}:{(31,1),(33,1),(101,1),(107,1)}
        64:{2,3,5,7}:{(32,1),(41,1),(95,1),(108,1),(109,1),(206,1),(316,1),(330,1),(339,1),(395,1)}
        65:{1,3,5,6,7}:{(33,1),(43,1),(97,1),(107,1),(110,1),(119,1),(198,1),(208,1),(219,1)}
        66:{1,2,4}:{(34,1),(111,1)}
        67:{2,3,4}:{(111,1),(113,1)}
        68:{2,4,5}:{(35,1),(113,1),(114,1)}
        69:{1,3,4,6}:{(35,1),(36,1),(46,1),(114,1),(115,1),(224,1),(236,1)}
        70:{2,3,4,7}:{(36,1),(47,1),(115,1),(239,1),(323,1),(333,1)}
        71:{1,2,4,7}:{(37,1),(44,1),(116,1),(117,1)}
        72:{2,3,4,7}:{(38,1),(45,1),(116,1),(118,1),(227,1),(239,1),(333,1)}
        73:{2,3,6,7}:{(40,1),(47,1),(119,1),(219,1)}
        74:{1,3,5,7}:{(38,1),(39,1),(48,1),(118,1),(121,1)}
        75:{1,2,4,6}:{(39,1),(42,1),(121,1),(123,1),(231,1)}
        76:{1,4,6,7}:{(40,1),(43,1),(50,1),(119,1)}
        77:{1,4,5,7}:{(41,1),(108,1),(123,1),(317,1),(401,1)}
        78:{1,3,5,6}:{(41,1),(42,1),(109,1),(121,1),(123,1),(309,1),(393,1)}
        79:{1,2,5,6,7}:{(42,1),(43,1),(110,1),(122,1),(124,1),(310,1),(319,1),(339,1),(410,1),(443,1)}
        80:{1,3,4,6}:{(44,1),(45,1),(111,1),(116,1),(125,1),(224,1),(229,1),(236,1)}
        81:{1,2,5}:{(44,1),(125,1)}
        82:{2,3,5}:{(45,1),(48,1),(125,1),(127,1)}
        83:{2,5,6}:{(46,1),(114,1),(129,1)}
        84:{1,3,5,7}:{(46,1),(47,1),(50,1),(115,1),(119,1),(129,1)}
        85:{1,3,4,5}:{(48,1),(127,1),(130,1),(209,1),(317,1),(397,1)}
        86:{1,3,5,6}:{(48,1),(49,1),(121,1),(128,1),(130,1),(131,1),(210,1),(224,1),(439,1)}
        87:{1,2,4,5,7}:{(49,1),(50,1),(122,1),(129,1),(131,1),(211,1),(225,1),(235,1),(239,1),(319,1),(339,1),(341,1),(401,1),(408,1),(441,1)}
        88:{1,2,4,6}:{(51,1),(53,1),(135,1),(136,1),(241,1),(352,1),(364,1)}
        89:{2,4,5,6}:{(52,1),(134,1),(137,1),(138,1),(249,1),(352,1),(358,1)}
        90:{1,3,4,5,7}:{(52,1),(54,1),(59,1),(138,1),(153,1),(250,1),(270,1),(355,1),(360,1)}
        91:{1,2,3,7}:{(133,1),(139,1),(414,1)}
        92:{1,3,4,7}:{(53,1),(135,1),(140,1),(142,1),(414,1)}
        93:{1,2,4,5,7}:{(53,1),(56,1),(136,1),(142,1),(143,1),(145,1),(256,1)}
        94:{2,4,6,7}:{(54,1),(57,1),(138,1),(141,1),(144,1),(258,1)}
        95:{1,3,5,7}:{(55,1),(56,1),(64,1),(145,1),(146,1),(264,1),(379,1)}
        96:{1,2,5,6}:{(56,1),(143,1),(146,1),(170,1),(358,1)}
        97:{1,5,6,7}:{(57,1),(144,1),(421,1)}
        98:{1,2,3,6}:{(60,1),(148,1),(170,1),(255,1),(273,1)}
        99:{2,3,5,6}:{(58,1),(62,1),(150,1),(151,1),(277,1),(288,1),(358,1)}
       100:{1,4,5,6}:{(58,1),(150,1),(152,1),(153,1),(364,1)}
       101:{2,4,5,7}:{(58,1),(59,1),(63,1),(151,1),(153,1),(425,1)}
       102:{1,2,4,7}:{(60,1),(66,1),(148,1),(154,1),(241,1)}
       103:{2,3,4,7}:{(67,1),(149,1),(154,1),(156,1),(242,1),(367,1)}
       104:{2,4,5,7}:{(61,1),(68,1),(156,1),(157,1),(168,1),(243,1),(266,1),(268,1),(348,1),(367,1)}
       105:{1,3,4,6}:{(61,1),(62,1),(150,1),(157,1),(269,1),(273,1),(286,1),(356,1),(364,1)}
       106:{2,3,4,6,7}:{(62,1),(63,1),(70,1),(73,1),(141,1),(151,1),(158,1),(245,1),(278,1),(289,1),(359,1),(370,1),(425,1)}
       107:{1,4,6,7}:{(63,1),(65,1),(153,1),(160,1)}
       108:{2,4,5,7}:{(64,1),(77,1),(145,1),(159,1),(161,1),(266,1),(362,1),(367,1),(425,1)}
       109:{2,3,5,6}:{(64,1),(78,1),(146,1),(161,1),(172,1),(257,1),(277,1),(288,1),(358,1)}
       110:{2,5,6,7}:{(65,1),(160,1),(173,1),(258,1),(268,1)}
       111:{1,3,4}:{(66,1),(67,1),(163,1),(164,1)}
       112:{1,2,4,5}:{(66,1),(68,1),(81,1),(164,1),(165,1),(178,1),(280,1)}
       113:{2,3,5}:{(67,1),(68,1),(164,1),(167,1)}
       114:{2,4,6}:{(68,1),(69,1),(83,1),(167,1),(168,1)}
       115:{1,3,4,7}:{(69,1),(70,1),(84,1),(168,1),(283,1),(293,1)}
       116:{1,3,4,7}:{(71,1),(72,1),(80,1),(169,1),(283,1),(293,1)}
       117:{1,2,5,7}:{(71,1),(81,1),(169,1),(170,1)}
       118:{2,3,5,7}:{(72,1),(74,1),(82,1),(169,1),(171,1),(172,1)}
       119:{1,3,6,7}:{(73,1),(76,1),(84,1),(173,1)}
       120:{1,3,4,5,7}:{(74,1),(77,1),(85,1),(159,1),(171,1),(174,1),(184,1),(290,1)}
       121:{1,3,6}:{(74,1),(75,1),(172,1)}
       122:{1,2,4,6,7}:{(75,1),(76,1),(79,1),(87,1),(160,1),(173,1),(175,1),(177,1),(289,1),(381,1),(430,1),(450,1)}
       123:{1,4,6}:{(77,1),(78,1),(161,1)}
       124:{1,3,5,6,7}:{(78,1),(79,1),(162,1),(175,1),(177,1),(290,1),(357,1),(365,1),(421,1)}
       125:{1,3,5}:{(80,1),(81,1),(82,1),(178,1)}
       126:{1,2,5,6}:{(81,1),(83,1),(165,1),(170,1),(179,1),(180,1),(375,1)}
       127:{2,4,5}:{(82,1),(85,1),(178,1),(181,1)}
       128:{2,3,5,6}:{(82,1),(83,1),(86,1),(167,1),(172,1),(179,1),(181,1),(182,1),(281,1),(288,1),(375,1)}
       129:{2,5,7}:{(83,1),(84,1),(168,1),(173,1)}
       130:{1,3,4,6}:{(85,1),(86,1),(181,1),(184,1),(269,1),(364,1),(423,1)}
       131:{1,3,5,7}:{(86,1),(87,1),(175,1),(182,1),(184,1),(270,1),(283,1),(449,1)}
       132:{2,3,4,5}:{(186,1),(187,1),(209,1),(303,1),(382,1)}
       133:{1,2,3,6}:{(91,1),(185,1),(188,1),(384,1)}
       134:{2,3,5,6}:{(89,1),(187,1),(190,1),(191,1),(210,1)}
       135:{1,3,4,6}:{(88,1),(92,1),(189,1),(192,1),(200,1),(296,1),(384,1)}
       136:{1,2,4,5}:{(88,1),(192,1),(205,1),(303,1),(317,1)}
       137:{1,4,5,6}:{(89,1),(190,1),(194,1),(388,1),(393,1)}
       138:{2,4,5,7}:{(89,1),(90,1),(94,1),(191,1),(194,1),(305,1),(391,1),(395,1)}
       139:{1,2,4,7}:{(91,1),(188,1),(195,1),(196,1)}
       140:{2,3,4,7}:{(92,1),(189,1),(195,1),(197,1),(387,1),(391,1),(432,1)}
       141:{2,3,6,7}:{(94,1),(191,1),(198,1),(219,1)}
       142:{1,3,5,7}:{(92,1),(93,1),(192,1),(197,1),(200,1)}
       143:{1,2,4,6}:{(93,1),(96,1),(200,1),(202,1),(311,1)}
       144:{1,4,6,7}:{(94,1),(97,1),(194,1),(198,1)}
       145:{1,4,5,7}:{(95,1),(108,1),(202,1),(317,1),(401,1)}
       146:{1,3,5,6}:{(95,1),(96,1),(109,1),(200,1),(202,1),(229,1),(337,1)}
       147:{1,2,5,6,7}:{(96,1),(97,1),(110,1),(201,1),(203,1),(230,1),(319,1),(395,1),(438,1),(443,1)}
       148:{1,2,4,6}:{(98,1),(102,1),(204,1),(205,1)}
       149:{2,3,4,6}:{(103,1),(204,1),(206,1),(216,1),(320,1)}
       150:{1,3,5,6}:{(99,1),(100,1),(105,1),(207,1),(208,1),(210,1),(337,1),(393,1)}
       151:{2,3,5,7}:{(99,1),(101,1),(106,1),(208,1),(330,1),(339,1),(395,1)}
       152:{2,4,5,6}:{(100,1),(207,1),(210,1),(211,1),(320,1)}
       153:{1,4,5,7}:{(100,1),(101,1),(107,1),(208,1),(211,1),(401,1)}
       154:{1,3,4,7}:{(102,1),(103,1),(111,1),(204,1),(212,1),(213,1),(296,1),(401,1)}
       155:{1,2,4,5,7}:{(102,1),(104,1),(112,1),(117,1),(196,1),(205,1),(213,1),(214,1),(225,1),(228,1),(297,1),(308,1),(317,1),(319,1),(324,1),(385,1),(401,1)}
       156:{2,3,5,7}:{(103,1),(104,1),(113,1),(206,1),(213,1),(216,1),(227,1),(298,1),(387,1)}
       157:{2,4,6}:{(104,1),(105,1),(207,1),(216,1)}
       158:{1,3,4,6,7}:{(105,1),(106,1),(107,1),(115,1),(119,1),(198,1),(208,1),(217,1),(219,1),(300,1),(323,1),(327,1),(338,1),(394,1),(401,1)}
       159:{3,4,5,7}:{(108,1),(209,1),(218,1),(323,1),(330,1),(397,1),(440,1)}
       160:{2,4,6,7}:{(107,1),(110,1),(211,1),(219,1)}
       161:{2,4,6}:{(108,1),(109,1),(123,1),(202,1),(218,1)}
       162:{2,3,5,6,7}:{(109,1),(110,1),(124,1),(203,1),(219,1),(221,1),(232,1),(312,1),(321,1),(330,1),(339,1),(395,1),(399,1),(443,1),(453,1)}
       163:{2,3,4}:{(111,1),(222,1)}
       164:{1,3,5}:{(111,1),(112,1),(113,1),(222,1),(224,1)}
       165:{1,2,4,6}:{(112,1),(114,1),(126,1),(224,1),(225,1),(236,1),(332,1)}
       166:{2,3,4,5}:{(113,1),(127,1),(223,1),(226,1),(397,1)}
       167:{2,3,6}:{(113,1),(114,1),(224,1),(227,1)}
       168:{2,4,7}:{(114,1),(115,1),(129,1),(227,1)}
       169:{1,3,5,7}:{(116,1),(117,1),(118,1),(125,1),(228,1),(229,1)}
       170:{1,2,6}:{(117,1),(229,1)}
       171:{2,4,5,7}:{(118,1),(120,1),(127,1),(228,1),(231,1),(239,1),(339,1)}
       172:{2,3,6}:{(118,1),(121,1),(229,1),(231,1)}
       173:{2,6,7}:{(119,1),(129,1)}
       174:{1,3,4,6}:{(120,1),(121,1),(123,1),(218,1),(231,1),(233,1)}
       175:{1,3,6,7}:{(121,1),(122,1),(131,1),(219,1),(232,1),(453,1)}
       176:{1,4,5,6}:{(123,1),(220,1),(233,1),(235,1),(393,1)}
       177:{1,4,6,7}:{(123,1),(124,1),(221,1),(235,1),(401,1)}
       178:{1,4,5}:{(125,1),(127,1),(236,1)}
       179:{1,3,5,6}:{(125,1),(126,1),(128,1),(224,1),(229,1),(236,1),(237,1),(337,1)}
       180:{1,2,5,7}:{(126,1),(129,1),(225,1),(230,1),(237,1),(408,1)}
       181:{2,4,6}:{(127,1),(128,1),(130,1),(236,1),(239,1)}
       182:{2,3,5,7}:{(128,1),(129,1),(131,1),(227,1),(232,1),(237,1),(239,1),(333,1),(339,1),(408,1)}
       183:{1,3,4,5,6}:{(130,1),(233,1),(238,1),(240,1),(322,1),(334,1),(400,1),(439,1)}
       184:{1,3,4,7}:{(130,1),(131,1),(239,1),(323,1),(401,1),(440,1)}
       185:{1,2,3,5}:{(133,1),(241,1),(247,1),(344,1)}
       186:{1,3,4,5}:{(132,1),(243,1),(244,1),(344,1),(349,1)}
       187:{2,3,4,6}:{(132,1),(134,1),(244,1),(245,1),(269,1),(352,1),(412,1)}
       188:{1,2,4,6}:{(133,1),(139,1),(241,1),(246,1),(247,1),(255,1)}
       189:{2,3,4,6}:{(135,1),(140,1),(242,1),(246,1),(248,1),(257,1),(343,1),(347,1),(352,1),(412,1)}
       190:{1,3,5,6}:{(134,1),(137,1),(244,1),(249,1),(250,1)}
       191:{2,3,5,7}:{(134,1),(138,1),(141,1),(245,1),(250,1),(270,1)}
       192:{1,3,5}:{(135,1),(136,1),(248,1)}
       193:{1,2,4,5,6}:{(136,1),(137,1),(143,1),(152,1),(249,1),(252,1),(253,1),(261,1),(265,1),(345,1),(352,1),(358,1),(364,1),(417,1),(424,1),(444,1)}
       194:{1,4,5,7}:{(137,1),(138,1),(144,1),(250,1),(418,1),(421,1)}
       195:{1,3,4,7}:{(139,1),(140,1),(246,1),(254,1),(414,1),(418,1)}
       196:{1,2,5,7}:{(139,1),(247,1),(254,1),(255,1)}
       197:{2,3,5,7}:{(140,1),(142,1),(248,1),(254,1),(256,1),(257,1)}
       198:{1,3,6,7}:{(141,1),(144,1),(250,1),(258,1)}
       199:{1,3,4,5,7}:{(142,1),(145,1),(159,1),(251,1),(256,1),(259,1),(355,1),(360,1)}
       200:{1,3,6}:{(142,1),(143,1),(257,1)}
       201:{1,2,4,6,7}:{(143,1),(144,1),(147,1),(160,1),(253,1),(258,1),(260,1),(262,1),(359,1),(448,1),(450,1),(454,1)}
       202:{1,4,6}:{(145,1),(146,1),(161,1)}
       203:{1,3,5,6,7}:{(146,1),(147,1),(162,1),(260,1),(262,1),(287,1),(360,1),(365,1),(379,1)}
       204:{1,3,4,6}:{(148,1),(149,1),(154,1),(263,1),(264,1),(273,1),(364,1)}
       205:{1,2,5}:{(148,1),(264,1)}
       206:{2,3,5}:{(149,1),(264,1),(266,1)}
       207:{2,5,6}:{(150,1),(157,1),(268,1)}
       208:{1,3,5,7}:{(150,1),(151,1),(153,1),(158,1),(268,1),(270,1),(379,1),(421,1)}
       209:{3,4,5}:{(266,1),(269,1)}
       210:{3,5,6}:{(152,1),(269,1),(270,1)}
       211:{2,4,5,7}:{(152,1),(153,1),(160,1),(268,1),(270,1),(367,1)}
       212:{2,3,4,7}:{(154,1),(163,1),(263,1),(271,1),(343,1),(425,1)}
       213:{1,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(264,1),(271,1),(273,1),(283,1),(344,1),(414,1)}
       214:{1,2,4,6}:{(155,1),(157,1),(170,1),(255,1),(265,1),(273,1),(286,1),(356,1),(364,1),(369,1)}
       215:{2,3,4,5,7}:{(156,1),(159,1),(166,1),(171,1),(256,1),(266,1),(272,1),(275,1),(285,1),(346,1),(367,1),(373,1),(416,1)}
       216:{2,3,6}:{(156,1),(157,1),(273,1)}
       217:{2,4,6,7}:{(157,1),(158,1),(168,1),(173,1),(258,1),(268,1),(276,1),(348,1),(367,1)}
       218:{3,4,6}:{(159,1),(161,1),(277,1)}
       219:{3,6,7}:{(160,1),(270,1)}
       220:{2,4,5,6}:{(161,1),(176,1),(261,1),(277,1),(279,1),(288,1),(358,1)}
       221:{2,4,6,7}:{(161,1),(162,1),(177,1),(262,1),(278,1),(279,1),(367,1),(425,1)}
       222:{2,3,5}:{(163,1),(164,1),(280,1),(281,1)}
       223:{1,3,4,5}:{(164,1),(166,1),(178,1),(280,1),(282,1)}
       224:{1,3,6}:{(164,1),(165,1),(167,1),(281,1),(283,1)}
       225:{1,2,4,7}:{(165,1),(168,1),(180,1),(283,1),(293,1),(376,1)}
       226:{2,3,4,6}:{(166,1),(167,1),(181,1),(282,1),(284,1),(285,1),(423,1)}
       227:{2,3,7}:{(167,1),(168,1),(283,1)}
       228:{1,4,5,7}:{(169,1),(171,1),(178,1),(286,1),(293,1),(379,1)}
       229:{1,3,6}:{(169,1),(170,1),(172,1),(286,1)}
       230:{1,2,6,7}:{(170,1),(173,1),(180,1),(287,1),(430,1)}
       231:{2,4,6}:{(171,1),(172,1),(174,1),(286,1),(288,1)}
       232:{2,3,6,7}:{(172,1),(173,1),(175,1),(182,1),(287,1),(289,1),(430,1)}
       233:{1,3,5,6}:{(174,1),(176,1),(277,1),(288,1),(290,1)}
       234:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(184,1),(278,1),(289,1),(290,1)}
       235:{1,4,5,7}:{(176,1),(177,1),(279,1),(290,1),(421,1)}
       236:{1,4,6}:{(178,1),(179,1),(181,1),(293,1)}
       237:{1,3,5,7}:{(179,1),(180,1),(182,1),(283,1),(287,1),(293,1),(379,1)}
       238:{2,4,5,6}:{(181,1),(183,1),(284,1),(288,1),(292,1),(294,1),(375,1)}
       239:{2,4,7}:{(181,1),(182,1),(184,1),(293,1)}
       240:{1,3,4,5,7}:{(183,1),(184,1),(290,1),(294,1),(295,1),(368,1),(377,1),(426,1),(449,1)}
       241:{1,2,4}:{(185,1),(296,1)}
       242:{2,3,4}:{(296,1),(298,1)}
       243:{2,4,5}:{(186,1),(298,1),(299,1)}
       244:{1,3,4,6}:{(186,1),(187,1),(190,1),(299,1),(300,1),(384,1),(388,1)}
       245:{2,3,4,7}:{(187,1),(191,1),(300,1),(323,1),(391,1),(432,1)}
       246:{1,3,4,6}:{(188,1),(189,1),(195,1),(296,1),(301,1),(309,1),(384,1),(388,1)}
       247:{1,2,5}:{(188,1),(301,1)}
       248:{2,3,5}:{(189,1),(192,1),(301,1),(303,1)}
       249:{2,5,6}:{(190,1),(299,1),(305,1)}
       250:{1,3,5,7}:{(190,1),(191,1),(194,1),(198,1),(300,1),(305,1)}
       251:{1,3,4,5}:{(192,1),(209,1),(303,1),(306,1),(317,1),(397,1)}
       252:{1,3,5,6}:{(192,1),(193,1),(200,1),(210,1),(304,1),(306,1),(307,1),(384,1),(439,1)}
       253:{1,2,4,5,7}:{(193,1),(194,1),(201,1),(211,1),(305,1),(307,1),(315,1),(319,1),(385,1),(391,1),(395,1),(401,1),(436,1),(441,1),(451,1)}
       254:{1,3,5,7}:{(195,1),(196,1),(197,1),(301,1),(308,1),(309,1)}
       255:{1,2,6}:{(196,1),(309,1)}
       256:{2,4,5,7}:{(197,1),(199,1),(303,1),(308,1),(311,1),(391,1),(395,1)}
       257:{2,3,6}:{(197,1),(200,1),(309,1),(311,1)}
       258:{2,6,7}:{(198,1),(305,1)}
       259:{1,3,4,6}:{(199,1),(200,1),(202,1),(218,1),(311,1),(313,1)}
       260:{1,3,6,7}:{(200,1),(201,1),(219,1),(307,1),(312,1),(453,1)}
       261:{1,4,5,6}:{(202,1),(220,1),(313,1),(315,1),(337,1)}
       262:{1,4,6,7}:{(202,1),(203,1),(221,1),(315,1),(401,1)}
       263:{2,3,4,6}:{(204,1),(212,1),(316,1),(325,1),(398,1)}
       264:{1,3,5}:{(204,1),(205,1),(206,1),(316,1),(317,1)}
       265:{1,2,5,6}:{(205,1),(207,1),(214,1),(318,1),(319,1),(337,1),(393,1),(404,1)}
       266:{2,4,5}:{(206,1),(209,1),(317,1),(320,1)}
       267:{2,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(318,1),(320,1),(321,1)}
       268:{2,5,7}:{(207,1),(208,1),(217,1)}
       269:{3,4,6}:{(209,1),(210,1),(320,1),(323,1)}
       270:{3,5,7}:{(210,1),(211,1),(219,1),(323,1)}
       271:{2,3,5,7}:{(212,1),(213,1),(222,1),(316,1),(324,1),(325,1),(333,1),(382,1),(432,1)}
       272:{1,3,4,5,7}:{(213,1),(215,1),(223,1),(228,1),(308,1),(317,1),(324,1),(326,1),(335,1),(383,1),(397,1),(401,1),(406,1),(434,1),(440,1)}
       273:{1,3,6}:{(213,1),(214,1),(216,1),(325,1)}
       274:{1,2,4,6,7}:{(214,1),(217,1),(225,1),(230,1),(310,1),(319,1),(327,1),(338,1),(385,1),(394,1),(401,1),(405,1)}
       275:{2,3,4,6}:{(215,1),(216,1),(218,1),(231,1),(311,1),(320,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(216,1),(217,1),(219,1),(227,1),(321,1),(327,1),(387,1)}
       277:{3,5,6}:{(218,1),(220,1),(330,1)}
       278:{3,4,6,7}:{(218,1),(219,1),(221,1),(323,1),(330,1),(440,1),(453,1)}
       279:{2,4,5,7}:{(220,1),(221,1),(235,1),(315,1),(330,1),(339,1),(395,1)}
       280:{2,4,5}:{(222,1),(223,1),(332,1)}
       281:{2,3,6}:{(222,1),(224,1),(332,1),(333,1)}
       282:{1,3,4,6}:{(223,1),(224,1),(226,1),(236,1),(332,1),(334,1),(335,1)}
       283:{1,3,7}:{(224,1),(225,1),(227,1),(333,1)}
       284:{2,3,5,6}:{(226,1),(238,1),(334,1),(336,1),(439,1)}
       285:{2,3,4,7}:{(226,1),(227,1),(239,1),(335,1),(336,1),(440,1)}
       286:{1,4,6}:{(228,1),(229,1),(231,1),(337,1)}
       287:{1,3,6,7}:{(229,1),(230,1),(232,1),(237,1),(338,1)}
       288:{2,5,6}:{(231,1),(233,1),(337,1),(339,1)}
       289:{2,4,6,7}:{(231,1),(232,1),(234,1),(239,1),(338,1),(339,1)}
       290:{1,3,5,7}:{(233,1),(234,1),(235,1),(330,1),(339,1)}
       291:{1,4,5,6,7}:{(235,1),(331,1),(340,1),(438,1),(442,1)}
       292:{1,4,5,6}:{(236,1),(238,1),(334,1),(337,1),(341,1)}
       293:{1,4,7}:{(236,1),(237,1),(239,1)}
       294:{2,4,5,7}:{(238,1),(239,1),(240,1),(336,1),(339,1),(341,1),(342,1),(408,1)}
       295:{1,3,4,6,7}:{(240,1),(340,1),(342,1),(403,1),(409,1),(442,1),(453,1)}
       296:{1,3,4}:{(241,1),(242,1),(343,1),(344,1)}
       297:{1,2,4,5}:{(241,1),(243,1),(247,1),(344,1),(345,1),(349,1),(411,1)}
       298:{2,3,5}:{(242,1),(243,1),(344,1),(347,1)}
       299:{2,4,6}:{(243,1),(244,1),(249,1),(347,1),(348,1)}
       300:{1,3,4,7}:{(244,1),(245,1),(250,1),(348,1),(414,1),(418,1)}
       301:{1,3,5}:{(246,1),(247,1),(248,1),(349,1)}
       302:{1,2,5,6}:{(247,1),(249,1),(255,1),(345,1),(350,1),(351,1),(444,1)}
       303:{2,4,5}:{(248,1),(251,1),(349,1),(352,1)}
       304:{2,3,5,6}:{(248,1),(249,1),(252,1),(257,1),(347,1),(350,1),(352,1),(353,1),(358,1),(412,1),(444,1)}
       305:{2,5,7}:{(249,1),(250,1),(258,1),(348,1)}
       306:{1,3,4,6}:{(251,1),(252,1),(269,1),(352,1),(355,1),(364,1),(423,1)}
       307:{1,3,5,7}:{(252,1),(253,1),(260,1),(270,1),(353,1),(355,1),(414,1),(449,1)}
       308:{1,4,5,7}:{(254,1),(256,1),(349,1),(356,1),(418,1),(421,1)}
       309:{1,3,6}:{(254,1),(255,1),(257,1),(356,1)}
       310:{1,2,6,7}:{(255,1),(258,1),(351,1),(357,1),(454,1)}
       311:{2,4,6}:{(256,1),(257,1),(259,1),(356,1),(358,1)}
       312:{2,3,6,7}:{(257,1),(258,1),(260,1),(353,1),(357,1),(359,1),(454,1)}
       313:{1,3,5,6}:{(259,1),(261,1),(277,1),(358,1),(360,1)}
       314:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(278,1),(355,1),(359,1),(360,1)}
       315:{1,4,5,7}:{(261,1),(262,1),(279,1),(360,1),(379,1)}
       316:{2,3,5}:{(263,1),(264,1),(362,1)}
       317:{1,4,5}:{(264,1),(266,1),(362,1),(364,1)}
       318:{1,3,5,6}:{(264,1),(265,1),(267,1),(273,1),(363,1),(364,1),(365,1)}
       319:{1,2,5,7}:{(265,1),(268,1),(274,1),(365,1),(379,1),(421,1),(428,1)}
       320:{2,4,6}:{(266,1),(267,1),(269,1),(364,1),(367,1)}
       321:{2,3,5,7}:{(267,1),(268,1),(270,1),(276,1),(365,1),(367,1)}
       322:{3,4,5,6}:{(269,1),(277,1),(366,1),(368,1)}
       323:{3,4,7}:{(269,1),(270,1),(367,1)}
       324:{2,4,5,7}:{(271,1),(272,1),(280,1),(362,1),(369,1),(376,1),(411,1),(425,1),(428,1),(445,1)}
       325:{2,3,6}:{(271,1),(273,1),(369,1)}
       326:{1,3,4,6}:{(272,1),(273,1),(275,1),(286,1),(356,1),(364,1),(369,1),(371,1),(423,1)}
       327:{1,3,6,7}:{(273,1),(274,1),(276,1),(283,1),(365,1),(370,1),(414,1)}
       328:{2,3,5,6}:{(275,1),(277,1),(288,1),(358,1),(366,1),(371,1),(373,1)}
       329:{2,3,4,6,7}:{(275,1),(276,1),(278,1),(285,1),(289,1),(359,1),(367,1),(372,1),(373,1),(378,1),(416,1),(427,1),(447,1)}
       330:{3,5,7}:{(277,1),(278,1),(279,1)}
       331:{2,4,5,6,7}:{(279,1),(291,1),(361,1),(374,1),(380,1),(422,1),(427,1),(450,1)}
       332:{2,4,6}:{(280,1),(281,1),(282,1),(375,1),(376,1)}
       333:{2,3,7}:{(281,1),(283,1),(376,1)}
       334:{1,3,5,6}:{(282,1),(284,1),(292,1),(375,1),(377,1)}
       335:{1,3,4,7}:{(282,1),(283,1),(285,1),(293,1),(376,1),(377,1)}
       336:{2,3,5,7}:{(284,1),(285,1),(294,1),(377,1),(378,1),(449,1)}
       337:{1,5,6}:{(286,1),(288,1),(379,1)}
       338:{1,4,6,7}:{(286,1),(287,1),(289,1),(293,1),(379,1)}
       339:{2,5,7}:{(288,1),(289,1),(290,1),(379,1)}
       340:{1,3,5,6,7}:{(290,1),(291,1),(295,1),(374,1),(380,1)}
       341:{1,4,5,7}:{(292,1),(293,1),(294,1),(377,1),(379,1),(381,1)}
       342:{2,4,6,7}:{(294,1),(295,1),(378,1),(380,1),(381,1),(430,1)}
       343:{2,3,4}:{(296,1),(382,1)}
       344:{1,3,5}:{(296,1),(297,1),(298,1),(382,1),(384,1)}
       345:{1,2,4,6}:{(297,1),(299,1),(302,1),(384,1),(385,1),(388,1),(431,1)}
       346:{2,3,4,5}:{(298,1),(303,1),(383,1),(386,1),(397,1)}
       347:{2,3,6}:{(298,1),(299,1),(384,1),(387,1)}
       348:{2,4,7}:{(299,1),(300,1),(305,1),(387,1)}
       349:{1,4,5}:{(301,1),(303,1),(388,1)}
       350:{1,3,5,6}:{(301,1),(302,1),(304,1),(309,1),(384,1),(388,1),(389,1),(393,1)}
       351:{1,2,5,7}:{(302,1),(305,1),(310,1),(385,1),(389,1),(451,1)}
       352:{2,4,6}:{(303,1),(304,1),(306,1),(388,1),(391,1)}
       353:{2,3,5,7}:{(304,1),(305,1),(307,1),(312,1),(387,1),(389,1),(391,1),(395,1),(432,1),(451,1)}
       354:{1,3,4,5,6}:{(306,1),(313,1),(322,1),(390,1),(392,1),(400,1),(433,1),(439,1)}
       355:{1,3,4,7}:{(306,1),(307,1),(323,1),(391,1),(401,1),(440,1)}
       356:{1,4,6}:{(308,1),(309,1),(311,1),(393,1)}
       357:{1,3,6,7}:{(309,1),(310,1),(312,1),(389,1),(394,1)}
       358:{2,5,6}:{(311,1),(313,1),(393,1),(395,1)}
       359:{2,4,6,7}:{(311,1),(312,1),(314,1),(391,1),(394,1),(395,1)}
       360:{1,3,5,7}:{(313,1),(314,1),(315,1),(330,1),(395,1)}
       361:{1,4,5,6,7}:{(315,1),(331,1),(396,1),(410,1),(442,1)}
       362:{2,4,5}:{(316,1),(317,1),(397,1),(398,1)}
       363:{2,3,5,6}:{(316,1),(318,1),(325,1),(398,1),(399,1),(404,1),(439,1)}
       364:{1,4,6}:{(317,1),(318,1),(320,1),(398,1),(401,1)}
       365:{1,3,5,7}:{(318,1),(319,1),(321,1),(327,1),(399,1),(401,1)}
       366:{2,4,5,6}:{(320,1),(322,1),(328,1),(400,1),(402,1)}
       367:{2,4,7}:{(320,1),(321,1),(323,1),(401,1)}
       368:{3,4,5,7}:{(322,1),(323,1),(330,1),(402,1),(403,1)}
       369:{2,4,6}:{(324,1),(325,1),(326,1),(404,1)}
       370:{2,3,6,7}:{(325,1),(327,1),(333,1),(399,1),(405,1),(432,1),(453,1)}
       371:{1,3,5,6}:{(326,1),(328,1),(337,1),(393,1),(400,1),(404,1),(406,1),(439,1)}
       372:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(335,1),(338,1),(394,1),(401,1),(405,1),(406,1),(409,1),(434,1),(440,1),(442,1),(452,1),(453,1)}
       373:{2,3,5,7}:{(328,1),(329,1),(330,1),(339,1),(395,1),(402,1),(406,1)}
       374:{3,5,6,7}:{(330,1),(331,1),(403,1),(453,1)}
       375:{2,5,6}:{(332,1),(334,1),(408,1)}
       376:{2,4,7}:{(332,1),(333,1),(335,1),(408,1)}
       377:{1,3,5,7}:{(334,1),(335,1),(336,1),(341,1),(408,1),(409,1)}
       378:{2,3,6,7}:{(336,1),(342,1),(409,1),(453,1)}
       379:{1,5,7}:{(337,1),(338,1),(339,1)}
       380:{2,5,6,7}:{(339,1),(340,1),(342,1),(410,1)}
       381:{1,4,6,7}:{(341,1),(342,1),(409,1),(410,1)}
       382:{2,3,5}:{(343,1),(344,1),(411,1),(412,1)}
       383:{1,3,4,5}:{(344,1),(346,1),(349,1),(411,1),(413,1)}
       384:{1,3,6}:{(344,1),(345,1),(347,1),(412,1),(414,1)}
       385:{1,2,4,7}:{(345,1),(348,1),(351,1),(414,1),(418,1),(445,1)}
       386:{2,3,4,6}:{(346,1),(347,1),(352,1),(413,1),(415,1),(416,1),(423,1)}
       387:{2,3,7}:{(347,1),(348,1),(414,1)}
       388:{1,4,6}:{(349,1),(350,1),(352,1),(418,1)}
       389:{1,3,5,7}:{(350,1),(351,1),(353,1),(357,1),(414,1),(418,1),(421,1)}
       390:{2,4,5,6}:{(352,1),(354,1),(358,1),(415,1),(417,1),(419,1),(444,1)}
       391:{2,4,7}:{(352,1),(353,1),(355,1),(418,1)}
       392:{1,3,4,5,7}:{(354,1),(355,1),(360,1),(368,1),(419,1),(420,1),(426,1),(446,1),(449,1)}
       393:{1,5,6}:{(356,1),(358,1),(421,1)}
       394:{1,4,6,7}:{(356,1),(357,1),(359,1),(418,1),(421,1)}
       395:{2,5,7}:{(358,1),(359,1),(360,1),(421,1)}
       396:{1,3,5,6,7}:{(360,1),(361,1),(374,1),(420,1),(422,1)}
       397:{3,4,5}:{(362,1),(423,1)}
       398:{2,4,6}:{(362,1),(363,1),(364,1),(423,1),(425,1)}
       399:{2,3,5,7}:{(363,1),(365,1),(370,1),(425,1),(428,1),(449,1)}
       400:{1,4,5,6}:{(364,1),(366,1),(371,1),(424,1),(426,1)}
       401:{1,4,7}:{(364,1),(365,1),(367,1),(425,1)}
       402:{2,4,5,7}:{(366,1),(367,1),(368,1),(373,1),(426,1),(427,1)}
       403:{3,4,6,7}:{(368,1),(374,1),(427,1)}
       404:{2,5,6}:{(369,1),(371,1),(428,1)}
       405:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(425,1),(428,1),(430,1),(445,1),(454,1)}
       406:{1,3,5,7}:{(371,1),(372,1),(373,1),(379,1),(421,1),(426,1),(428,1),(449,1)}
       407:{2,3,5,6,7}:{(373,1),(374,1),(378,1),(380,1),(422,1),(427,1),(429,1),(447,1)}
       408:{2,5,7}:{(375,1),(376,1),(377,1),(430,1)}
       409:{1,3,6,7}:{(377,1),(378,1),(381,1),(430,1)}
       410:{1,5,6,7}:{(379,1),(380,1),(381,1)}
       411:{2,4,5}:{(382,1),(383,1),(431,1)}
       412:{2,3,6}:{(382,1),(384,1),(431,1),(432,1)}
       413:{1,3,4,6}:{(383,1),(384,1),(386,1),(388,1),(431,1),(433,1),(434,1)}
       414:{1,3,7}:{(384,1),(385,1),(387,1),(432,1)}
       415:{2,3,5,6}:{(386,1),(390,1),(433,1),(435,1),(439,1)}
       416:{2,3,4,7}:{(386,1),(387,1),(391,1),(434,1),(435,1),(440,1)}
       417:{1,4,5,6}:{(388,1),(390,1),(393,1),(433,1),(436,1)}
       418:{1,4,7}:{(388,1),(389,1),(391,1)}
       419:{2,4,5,7}:{(390,1),(391,1),(392,1),(395,1),(435,1),(436,1),(437,1),(451,1)}
       420:{1,3,4,6,7}:{(392,1),(396,1),(403,1),(437,1),(442,1),(452,1),(453,1)}
       421:{1,5,7}:{(393,1),(394,1),(395,1)}
       422:{2,5,6,7}:{(395,1),(396,1),(437,1),(438,1)}
       423:{3,4,6}:{(397,1),(398,1),(439,1),(440,1)}
       424:{2,4,5,6}:{(398,1),(400,1),(404,1),(439,1),(441,1)}
       425:{2,4,7}:{(398,1),(399,1),(401,1),(440,1)}
       426:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(441,1),(442,1)}
       427:{2,4,6,7}:{(402,1),(403,1),(407,1),(442,1)}
       428:{2,5,7}:{(404,1),(405,1),(406,1)}
       429:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(438,1),(442,1),(443,1),(452,1),(453,1)}
       430:{2,6,7}:{(408,1),(409,1)}
       431:{2,4,6}:{(411,1),(412,1),(413,1),(444,1),(445,1)}
       432:{2,3,7}:{(412,1),(414,1),(445,1)}
       433:{1,3,5,6}:{(413,1),(415,1),(417,1),(444,1),(446,1)}
       434:{1,3,4,7}:{(413,1),(414,1),(416,1),(418,1),(445,1),(446,1)}
       435:{2,3,5,7}:{(415,1),(416,1),(419,1),(446,1),(447,1),(449,1)}
       436:{1,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(446,1),(448,1)}
       437:{2,4,6,7}:{(419,1),(420,1),(422,1),(447,1),(448,1),(454,1)}
       438:{1,5,6,7}:{(421,1),(422,1),(448,1)}
       439:{3,5,6}:{(423,1),(424,1),(449,1)}
       440:{3,4,7}:{(423,1),(425,1),(449,1)}
       441:{2,4,5,7}:{(424,1),(425,1),(426,1),(428,1),(449,1),(450,1)}
       442:{1,4,6,7}:{(426,1),(427,1),(429,1),(450,1)}
       443:{2,5,6,7}:{(428,1),(429,1),(430,1),(450,1),(454,1)}
       444:{2,5,6}:{(431,1),(433,1),(451,1)}
       445:{2,4,7}:{(431,1),(432,1),(434,1),(451,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(435,1),(436,1),(451,1),(452,1)}
       447:{2,3,6,7}:{(435,1),(437,1),(452,1),(453,1)}
       448:{1,4,6,7}:{(436,1),(437,1),(438,1),(452,1)}
       449:{3,5,7}:{(439,1),(440,1),(441,1),(453,1)}
       450:{2,4,6,7}:{(441,1),(442,1),(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       452:{1,3,6,7}:{(446,1),(447,1),(448,1),(454,1)}
       453:{3,6,7}:{(449,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2370 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(82,1),(90,1),(92,1),(95,1),(148,1),(189,1),(193,1),(226,1),(227,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(109,1),(122,1),(165,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(110,1),(119,1),(165,1),(171,1),(211,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(112,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(81,1),(138,1),(145,1),(190,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(141,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(226,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(19,1),(20,1),(67,1),(107,1),(123,1),(164,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(21,1),(25,1),(56,1),(58,1),(65,1),(107,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(211,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(211,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(236,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,2,4,5,6}:{(32,1),(33,1),(76,1),(78,1),(135,1),(137,1),(151,1),(179,1),(183,1),(185,1),(193,1),(198,1),(221,1),(229,1),(244,1)}
        19:{1,3,5,6,7}:{(9,1),(10,1),(34,1),(35,1),(44,1),(79,1),(93,1),(145,1),(152,1)}
        20:{1,2,4,6,7}:{(9,1),(32,1),(34,1),(35,1),(80,1),(185,1),(193,1),(221,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(34,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(138,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(18,1),(20,1),(51,1),(54,1),(101,1),(107,1),(123,1),(160,1),(171,1),(177,1),(200,1),(204,1)}
        33:{1,3,5,6}:{(18,1),(51,1),(52,1),(53,1),(157,1),(202,1),(203,1),(213,1),(237,1)}
        34:{1,4,6,7}:{(19,1),(21,1),(54,1),(170,1),(177,1)}
        35:{1,3,6,7}:{(20,1),(51,1),(56,1),(203,1),(213,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(57,1),(58,1),(65,1),(107,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(112,1),(118,1),(127,1),(169,1),(212,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(164,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(169,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,3,4,6}:{(33,1),(73,1),(75,1),(76,1),(198,1),(228,1)}
        53:{2,3,5,6}:{(33,1),(74,1),(76,1),(77,1),(129,1),(137,1),(180,1),(183,1),(184,1),(221,1)}
        54:{1,4,5,7}:{(34,1),(36,1),(78,1),(79,1),(93,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(73,1),(79,1),(80,1),(131,1)}
        56:{2,3,6,7}:{(35,1),(74,1),(80,1),(81,1),(180,1),(221,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(78,1),(84,1),(92,1),(137,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(80,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(180,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(141,1),(192,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(227,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(192,1),(227,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(52,1),(101,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(56,1),(101,1),(102,1),(107,1),(204,1),(205,1)}
        75:{1,3,4,5}:{(52,1),(103,1),(157,1),(209,1),(217,1),(237,1)}
        76:{2,4,6}:{(52,1),(53,1),(101,1),(103,1),(104,1)}
        77:{1,3,5,6}:{(53,1),(102,1),(104,1),(105,1),(157,1),(163,1),(164,1),(203,1)}
        78:{1,4,5,6}:{(54,1),(57,1),(106,1),(122,1),(170,1),(236,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(58,1),(106,1),(107,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(101,1),(107,1),(108,1),(159,1)}
        81:{1,3,6,7}:{(56,1),(102,1),(108,1),(109,1),(203,1)}
        82:{1,2,4,6}:{(63,1),(110,1),(111,1),(112,1),(167,1),(169,1),(212,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(107,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(108,1),(116,1),(117,1),(118,1),(124,1),(156,1),(166,1),(170,1),(177,1),(178,1),(203,1),(211,1),(212,1),(213,1),(214,1),(235,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(112,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{2,3,4,6}:{(76,1),(128,1),(129,1),(130,1),(180,1),(184,1),(223,1),(228,1),(240,1)}
       100:{1,3,4,5,7}:{(73,1),(75,1),(79,1),(83,1),(131,1),(132,1),(144,1),(181,1),(194,1),(225,1),(241,1)}
       101:{2,4,7}:{(73,1),(74,1),(76,1),(133,1)}
       102:{1,3,5,7}:{(74,1),(77,1),(81,1),(133,1),(134,1),(138,1),(187,1)}
       103:{2,4,5}:{(75,1),(76,1),(129,1),(135,1),(183,1),(223,1)}
       104:{1,4,6}:{(76,1),(77,1),(133,1),(135,1)}
       105:{1,2,5,6}:{(77,1),(134,1),(136,1),(183,1),(221,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(84,1),(131,1),(137,1),(241,1)}
       107:{2,5,7}:{(79,1),(80,1),(137,1),(138,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(133,1),(138,1),(185,1)}
       109:{1,2,6,7}:{(81,1),(134,1),(221,1)}
       110:{1,2,4,7}:{(82,1),(89,1),(140,1),(141,1),(192,1)}
       111:{1,2,5}:{(82,1),(90,1),(142,1),(227,1)}
       112:{1,3,6}:{(82,1),(91,1),(141,1),(142,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(137,1),(143,1),(145,1),(180,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(138,1),(144,1),(145,1),(146,1),(194,1),(199,1),(227,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(182,1),(193,1),(196,1),(197,1),(221,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(141,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(142,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(227,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(99,1),(101,1),(155,1),(156,1),(205,1),(214,1),(234,1)}
       129:{2,3,5}:{(99,1),(103,1),(157,1),(237,1),(243,1)}
       130:{1,3,4,6}:{(99,1),(104,1),(156,1),(157,1),(158,1),(163,1),(202,1),(203,1),(209,1),(232,1),(242,1)}
       131:{1,3,4,6}:{(100,1),(106,1),(113,1),(159,1),(170,1),(203,1),(213,1)}
       132:{2,4,5,7}:{(100,1),(101,1),(103,1),(107,1),(155,1),(159,1),(160,1),(204,1),(234,1),(243,1)}
       133:{1,4,7}:{(101,1),(102,1),(104,1)}
       134:{1,2,5,7}:{(102,1),(105,1),(109,1),(161,1),(204,1)}
       135:{1,4,5}:{(103,1),(104,1),(157,1),(232,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(158,1),(161,1),(162,1),(163,1)}
       137:{2,5,6}:{(106,1),(107,1),(159,1),(164,1),(243,1)}
       138:{1,5,7}:{(107,1),(108,1),(164,1)}
       139:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(117,1),(161,1),(165,1),(166,1),(167,1),(207,1),(211,1),(212,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(119,1),(167,1),(168,1)}
       141:{1,3,7}:{(110,1),(112,1),(120,1)}
       142:{1,3,5}:{(111,1),(112,1),(121,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(211,1),(217,1),(236,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(164,1),(170,1),(172,1),(203,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(166,1),(173,1),(174,1),(205,1),(213,1),(233,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(168,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(169,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(129,1),(132,1),(180,1),(181,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(130,1),(133,1),(181,1),(182,1),(187,1),(219,1),(239,1)}
       157:{1,3,5}:{(129,1),(130,1),(135,1),(183,1),(244,1)}
       158:{2,4,6}:{(130,1),(182,1),(183,1),(184,1),(221,1),(223,1)}
       159:{2,4,6}:{(131,1),(132,1),(137,1),(180,1),(185,1),(221,1)}
       160:{1,4,5,7}:{(132,1),(133,1),(135,1),(138,1),(181,1),(185,1),(239,1),(244,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(136,1),(182,1),(187,1)}
       162:{1,2,4,5}:{(135,1),(136,1),(183,1),(188,1),(223,1)}
       163:{1,3,6}:{(136,1),(184,1),(187,1),(188,1)}
       164:{1,5,6}:{(137,1),(138,1),(185,1),(244,1)}
       165:{1,2,5,7}:{(138,1),(139,1),(146,1),(189,1),(190,1),(227,1)}
       166:{1,3,6,7}:{(139,1),(141,1),(147,1),(187,1),(190,1),(191,1),(224,1)}
       167:{1,2,6}:{(140,1),(148,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(142,1),(149,1),(191,1),(192,1),(227,1)}
       169:{1,4}:{(142,1),(150,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(221,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(190,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(191,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(192,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{1,2,4,6}:{(158,1),(200,1),(201,1),(202,1),(230,1),(232,1),(242,1)}
       180:{2,3,6}:{(155,1),(159,1),(203,1),(213,1)}
       181:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(203,1),(204,1)}
       182:{2,4,7}:{(156,1),(158,1),(204,1),(205,1)}
       183:{2,5}:{(157,1),(158,1)}
       184:{2,3,6}:{(158,1),(163,1),(202,1),(205,1),(206,1)}
       185:{1,4,6}:{(159,1),(160,1),(164,1),(203,1)}
       186:{1,2,4,5,7}:{(160,1),(161,1),(162,1),(165,1),(171,1),(204,1),(207,1),(208,1),(211,1),(234,1),(236,1),(243,1)}
       187:{1,3,7}:{(161,1),(163,1),(205,1)}
       188:{1,3,5}:{(162,1),(163,1),(206,1),(209,1)}
       189:{1,2,5,6}:{(164,1),(165,1),(167,1),(172,1),(207,1),(210,1),(243,1)}
       190:{1,3,5,7}:{(165,1),(166,1),(173,1),(210,1),(211,1)}
       191:{1,3,6}:{(167,1),(168,1),(174,1),(212,1)}
       192:{1,4,7}:{(168,1),(169,1),(175,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(210,1),(213,1),(215,1),(216,1),(233,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(211,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(212,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(179,1),(182,1),(218,1),(219,1),(239,1)}
       201:{1,2,5}:{(179,1),(183,1),(220,1),(244,1)}
       202:{1,3,6}:{(179,1),(184,1),(219,1),(220,1)}
       203:{1,3,6}:{(180,1),(181,1),(185,1),(221,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(221,1)}
       205:{2,3,7}:{(182,1),(184,1),(187,1),(219,1)}
       206:{2,3,5}:{(183,1),(184,1),(188,1),(220,1),(223,1)}
       207:{1,2,4,6}:{(185,1),(186,1),(189,1),(193,1),(221,1),(224,1),(226,1),(240,1)}
       208:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(222,1),(224,1),(225,1),(241,1)}
       209:{1,3,4}:{(188,1),(223,1)}
       210:{1,3,5,6}:{(189,1),(190,1),(191,1),(195,1),(224,1),(226,1),(227,1),(241,1)}
       211:{1,4,7}:{(190,1),(196,1),(226,1)}
       212:{1,4,6}:{(191,1),(192,1),(197,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(227,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(201,1),(204,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(202,1),(205,1)}
       220:{1,3,5}:{(201,1),(202,1),(206,1),(232,1)}
       221:{2,6}:{(203,1),(204,1)}
       222:{2,3,5,7}:{(204,1),(205,1),(206,1),(208,1),(231,1),(233,1),(234,1),(243,1)}
       223:{2,4}:{(206,1),(209,1),(232,1)}
       224:{1,3,6}:{(207,1),(208,1),(213,1),(233,1)}
       225:{1,3,4,7}:{(208,1),(209,1),(211,1),(214,1),(234,1),(235,1)}
       226:{1,4,6}:{(210,1),(211,1),(215,1),(236,1)}
       227:{1,5}:{(212,1),(216,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(236,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(221,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(220,1),(222,1),(238,1),(239,1),(244,1)}
       232:{1,4}:{(220,1),(223,1)}
       233:{2,3,6}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{2,4,7}:{(222,1),(223,1),(225,1),(239,1),(240,1)}
       235:{1,3,4,6}:{(224,1),(225,1),(226,1),(228,1),(240,1),(241,1)}
       236:{1,4,5}:{(226,1),(227,1),(229,1),(241,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(233,1),(242,1)}
       239:{1,4,7}:{(231,1),(232,1),(234,1),(242,1)}
       240:{2,4,6}:{(233,1),(234,1),(235,1),(242,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2371 :   0:{1,2,3,5}:{(2,1),(3,1),(20,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(96,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(61,1)}
         8:{1,2,3,7}:{(2,1),(21,1),(62,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(20,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(109,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(79,1),(104,1),(109,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(114,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(30,1),(36,1),(37,1),(40,1),(79,1),(82,1)}
        20:{1,2,5}:{(7,1),(36,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(37,1),(39,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(38,1),(40,1),(41,1),(79,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(88,1)}
        25:{1,2,3,7}:{(11,1),(44,1),(89,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(43,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(96,1),(127,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(122,1),(136,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(96,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(101,1),(119,1),(122,1)}
        36:{1,3,5}:{(19,1),(20,1),(50,1),(57,1)}
        37:{1,3,4,7}:{(19,1),(21,1),(51,1),(59,1),(62,1),(101,1)}
        38:{1,2,5,6}:{(20,1),(23,1),(52,1),(58,1),(60,1),(61,1)}
        39:{1,2,5,7}:{(20,1),(21,1),(59,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(60,1),(62,1),(101,1)}
        42:{1,3,4,6}:{(24,1),(26,1),(30,1),(63,1),(64,1),(67,1),(104,1),(107,1)}
        43:{1,2,5}:{(24,1),(63,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(64,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(65,1),(67,1),(68,1),(104,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(79,1),(104,1),(118,1),(130,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(114,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,5}:{(30,1),(36,1),(63,1),(73,1)}
        51:{2,3,4,7}:{(30,1),(37,1),(64,1),(75,1),(78,1),(114,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(36,1),(73,1),(79,1)}
        58:{1,3,5,6}:{(36,1),(38,1),(40,1),(74,1),(79,1),(81,1),(82,1),(118,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(39,1),(75,1),(80,1),(82,1)}
        60:{1,2,5,7}:{(38,1),(41,1),(76,1),(81,1),(83,1)}
        61:{1,2,6}:{(39,1),(82,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,5}:{(42,1),(43,1),(50,1),(84,1)}
        64:{1,3,4,7}:{(42,1),(44,1),(51,1),(86,1),(89,1),(119,1)}
        65:{1,2,5,6}:{(43,1),(46,1),(52,1),(85,1),(87,1),(88,1)}
        66:{1,2,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(87,1),(89,1),(119,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(96,1),(127,1),(137,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(101,1),(119,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(136,1)}
        73:{2,4,5}:{(50,1),(57,1),(84,1),(90,1),(96,1)}
        74:{2,3,5,6}:{(50,1),(52,1),(55,1),(58,1),(85,1),(91,1),(96,1),(98,1),(99,1),(127,1)}
        75:{2,3,5,7}:{(50,1),(51,1),(59,1),(86,1),(97,1),(99,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,6}:{(57,1),(58,1),(96,1),(101,1)}
        80:{1,4,5,7}:{(57,1),(59,1),(97,1),(101,1),(102,1),(128,1)}
        81:{1,3,5,7}:{(58,1),(60,1),(62,1),(98,1),(101,1),(103,1),(128,1)}
        82:{1,3,6}:{(59,1),(61,1),(99,1),(102,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(63,1),(73,1),(104,1)}
        85:{1,3,5,6}:{(63,1),(65,1),(67,1),(74,1),(104,1),(106,1),(107,1),(130,1)}
        86:{1,3,5,7}:{(63,1),(64,1),(66,1),(75,1),(105,1),(107,1)}
        87:{1,2,5,7}:{(65,1),(68,1),(76,1),(106,1),(108,1)}
        88:{1,2,6}:{(66,1),(107,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(109,1)}
        91:{3,5,6}:{(69,1),(109,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(114,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,6}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1)}
        97:{2,4,5,7}:{(73,1),(75,1),(80,1),(105,1),(110,1),(114,1),(115,1),(134,1)}
        98:{2,3,5,7}:{(74,1),(76,1),(78,1),(81,1),(106,1),(111,1),(114,1),(116,1),(134,1)}
        99:{2,3,6}:{(75,1),(82,1),(107,1),(115,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,7}:{(79,1),(81,1),(114,1)}
       102:{1,4,6}:{(80,1),(82,1),(115,1),(118,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(117,1)}
       104:{1,4,6}:{(84,1),(85,1),(96,1),(119,1)}
       105:{1,4,5,7}:{(84,1),(86,1),(97,1),(119,1),(120,1),(135,1)}
       106:{1,3,5,7}:{(85,1),(87,1),(89,1),(98,1),(119,1),(121,1),(135,1)}
       107:{1,3,6}:{(86,1),(88,1),(99,1),(120,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,6}:{(90,1),(91,1),(96,1),(122,1)}
       110:{3,4,5,7}:{(90,1),(97,1),(122,1),(123,1),(136,1)}
       111:{3,5,7}:{(91,1),(92,1),(122,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,7}:{(96,1),(98,1),(101,1),(119,1),(122,1)}
       115:{2,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(127,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(126,1)}
       117:{1,4,6,7}:{(101,1),(102,1),(103,1),(126,1),(128,1)}
       118:{1,5,6}:{(102,1),(127,1),(128,1)}
       119:{1,4,7}:{(104,1),(106,1),(114,1)}
       120:{1,4,6}:{(105,1),(107,1),(115,1),(130,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(129,1)}
       122:{3,4,7}:{(109,1),(111,1),(114,1)}
       123:{3,4,6}:{(110,1),(115,1),(132,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,4,6,7}:{(114,1),(115,1),(116,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,5,6}:{(115,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,4,6,7}:{(119,1),(120,1),(121,1),(126,1),(135,1)}
       130:{1,5,6}:{(120,1),(127,1),(135,1)}
       131:{3,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(136,1),(138,1)}
       132:{3,5,6}:{(123,1),(127,1),(136,1),(137,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(136,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(136,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       137:{4,5,6}:{(132,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2372 :   0:{1,2,5,6,7}:{(2,1),(3,1),(52,1),(90,1),(105,1),(147,1),(151,1)}
         1:{1,2,4,5,6}:{(6,1),(7,1),(29,1),(31,1),(75,1),(77,1),(125,1),(129,1),(131,1),(175,1),(177,1),(184,1),(220,1),(222,1),(241,1)}
         2:{1,3,5,6,7}:{(0,1),(5,1),(8,1),(9,1),(32,1),(63,1),(118,1),(122,1),(176,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(33,1),(131,1),(177,1),(184,1)}
         4:{1,2,5,6,7}:{(11,1),(12,1),(54,1),(88,1),(106,1),(146,1),(151,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(19,1),(40,1),(42,1),(52,1),(88,1),(93,1),(151,1),(152,1),(202,1)}
         6:{1,2,4,5,7}:{(1,1),(3,1),(14,1),(17,1),(46,1),(52,1),(101,1),(147,1),(150,1),(153,1),(157,1),(201,1)}
         7:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(98,1),(155,1),(156,1),(202,1),(234,1)}
         8:{1,4,6,7}:{(2,1),(13,1),(17,1),(149,1),(201,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(19,1),(156,1),(202,1)}
        10:{1,2,4,5,6}:{(20,1),(21,1),(58,1),(60,1),(115,1),(117,1),(135,1),(165,1),(169,1),(171,1),(177,1),(189,1),(215,1),(222,1),(244,1)}
        11:{1,3,5,6,7}:{(4,1),(5,1),(22,1),(23,1),(34,1),(61,1),(78,1),(122,1),(136,1)}
        12:{1,2,4,6,7}:{(4,1),(20,1),(22,1),(23,1),(62,1),(171,1),(177,1),(215,1)}
        13:{2,4,6,7}:{(5,1),(8,1),(22,1),(24,1),(25,1),(120,1),(177,1),(180,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(9,1),(26,1),(27,1),(178,1),(182,1)}
        15:{1,3,4,6}:{(7,1),(26,1),(28,1),(29,1),(220,1),(221,1)}
        16:{2,3,5,6}:{(7,1),(27,1),(29,1),(30,1),(69,1),(77,1),(126,1),(129,1),(130,1),(184,1)}
        17:{1,4,5,7}:{(8,1),(24,1),(31,1),(32,1),(118,1)}
        18:{1,3,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(32,1),(33,1),(71,1)}
        19:{2,3,6,7}:{(9,1),(27,1),(33,1),(34,1),(126,1),(184,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(35,1),(38,1),(82,1),(88,1),(106,1),(142,1),(150,1),(164,1),(190,1),(194,1)}
        21:{1,3,5,6}:{(10,1),(35,1),(36,1),(37,1),(139,1),(192,1),(193,1),(202,1),(234,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(38,1),(149,1),(164,1)}
        23:{1,3,6,7}:{(12,1),(35,1),(40,1),(193,1),(202,1)}
        24:{2,4,5,7}:{(13,1),(17,1),(38,1),(41,1),(42,1),(52,1),(88,1)}
        25:{3,4,6,7}:{(13,1),(42,1),(91,1),(202,1),(203,1)}
        26:{1,3,4,7}:{(14,1),(15,1),(46,1),(201,1),(203,1)}
        27:{2,3,5,7}:{(14,1),(16,1),(19,1),(46,1),(47,1),(52,1),(157,1),(158,1)}
        28:{1,3,4,5}:{(15,1),(48,1),(98,1),(162,1),(233,1),(234,1)}
        29:{2,4,6}:{(15,1),(16,1),(46,1),(48,1),(49,1)}
        30:{1,3,5,6}:{(16,1),(47,1),(49,1),(50,1),(98,1),(104,1),(105,1),(156,1)}
        31:{1,4,5,6}:{(17,1),(41,1),(51,1),(146,1),(149,1),(211,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(46,1),(52,1),(53,1),(100,1)}
        34:{1,3,6,7}:{(19,1),(47,1),(53,1),(54,1),(156,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(23,1),(55,1),(56,1),(178,1),(213,1)}
        36:{1,3,4,6}:{(21,1),(55,1),(57,1),(58,1),(189,1),(221,1)}
        37:{2,3,5,6}:{(21,1),(56,1),(58,1),(59,1),(109,1),(117,1),(166,1),(169,1),(170,1),(215,1)}
        38:{1,4,5,7}:{(22,1),(24,1),(60,1),(61,1),(78,1)}
        39:{1,3,4,6,7}:{(22,1),(23,1),(25,1),(55,1),(61,1),(62,1),(111,1)}
        40:{2,3,6,7}:{(23,1),(56,1),(62,1),(63,1),(166,1),(215,1)}
        41:{2,4,5,6}:{(24,1),(31,1),(60,1),(65,1),(77,1),(117,1),(120,1),(177,1),(222,1)}
        42:{3,5,7}:{(24,1),(25,1),(65,1)}
        43:{2,3,4,6,7}:{(25,1),(33,1),(62,1),(66,1),(67,1),(68,1),(108,1),(120,1),(124,1),(126,1),(166,1),(180,1),(221,1),(225,1),(239,1)}
        44:{2,3,4,6}:{(29,1),(68,1),(69,1),(70,1),(126,1),(130,1),(186,1),(221,1),(225,1)}
        45:{1,3,4,5,7}:{(26,1),(28,1),(32,1),(64,1),(71,1),(72,1),(121,1),(127,1),(178,1),(188,1),(226,1)}
        46:{2,4,7}:{(26,1),(27,1),(29,1),(73,1)}
        47:{1,3,5,7}:{(27,1),(30,1),(34,1),(73,1),(74,1),(78,1),(133,1)}
        48:{2,4,5}:{(28,1),(29,1),(69,1),(75,1),(129,1),(186,1)}
        49:{1,4,6}:{(29,1),(30,1),(73,1),(75,1)}
        50:{1,2,5,6}:{(30,1),(74,1),(76,1),(129,1),(184,1)}
        51:{1,3,5,6}:{(31,1),(32,1),(65,1),(71,1),(77,1),(226,1)}
        52:{2,5,7}:{(32,1),(33,1),(77,1),(78,1)}
        53:{1,4,6,7}:{(33,1),(34,1),(73,1),(78,1),(131,1)}
        54:{1,2,6,7}:{(34,1),(74,1),(184,1)}
        55:{1,3,4,7}:{(35,1),(36,1),(82,1),(164,1),(203,1)}
        56:{2,3,5,7}:{(35,1),(37,1),(40,1),(82,1),(83,1),(88,1),(194,1),(195,1)}
        57:{1,3,4,5}:{(36,1),(84,1),(139,1),(199,1),(211,1),(234,1)}
        58:{2,4,6}:{(36,1),(37,1),(82,1),(84,1),(85,1)}
        59:{1,3,5,6}:{(37,1),(83,1),(85,1),(86,1),(139,1),(145,1),(146,1),(193,1)}
        60:{1,4,5,6}:{(38,1),(41,1),(87,1),(105,1),(149,1),(233,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(42,1),(87,1),(88,1)}
        62:{2,4,6,7}:{(39,1),(40,1),(82,1),(88,1),(89,1),(141,1)}
        63:{1,3,6,7}:{(40,1),(83,1),(89,1),(90,1),(193,1)}
        64:{3,4,5,7}:{(42,1),(91,1),(92,1),(203,1),(234,1)}
        65:{3,5,6}:{(41,1),(42,1),(91,1),(202,1),(234,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(52,1),(88,1),(92,1),(93,1),(94,1),(234,1),(236,1),(243,1)}
        67:{1,3,4,6,7}:{(43,1),(53,1),(89,1),(94,1),(95,1),(97,1),(107,1),(138,1),(148,1),(149,1),(156,1),(164,1),(193,1),(201,1),(202,1),(203,1),(210,1),(232,1),(235,1),(242,1)}
        68:{2,3,4,7}:{(44,1),(46,1),(96,1),(97,1),(158,1),(203,1),(209,1)}
        69:{2,3,5}:{(44,1),(48,1),(98,1),(234,1),(236,1)}
        70:{1,3,4,6}:{(44,1),(49,1),(97,1),(98,1),(99,1),(104,1),(155,1),(156,1),(162,1),(207,1),(235,1)}
        71:{1,3,4,6}:{(45,1),(51,1),(91,1),(100,1),(149,1),(156,1),(202,1)}
        72:{2,4,5,7}:{(45,1),(46,1),(48,1),(52,1),(96,1),(100,1),(101,1),(157,1),(209,1),(236,1)}
        73:{1,4,7}:{(46,1),(47,1),(49,1)}
        74:{1,2,5,7}:{(47,1),(50,1),(54,1),(102,1),(157,1)}
        75:{1,4,5}:{(48,1),(49,1),(98,1),(207,1)}
        76:{1,2,4,6}:{(49,1),(50,1),(99,1),(102,1),(103,1),(104,1)}
        77:{2,5,6}:{(51,1),(52,1),(100,1),(105,1),(236,1)}
        78:{1,5,7}:{(52,1),(53,1),(105,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(95,1),(102,1),(106,1),(107,1),(160,1),(164,1),(190,1),(227,1),(242,1)}
        80:{2,3,4,6}:{(58,1),(108,1),(109,1),(110,1),(166,1),(170,1),(217,1),(221,1),(239,1)}
        81:{1,3,4,5,7}:{(55,1),(57,1),(61,1),(64,1),(111,1),(112,1),(121,1),(167,1),(178,1),(219,1),(240,1)}
        82:{2,4,7}:{(55,1),(56,1),(58,1),(113,1)}
        83:{1,3,5,7}:{(56,1),(59,1),(63,1),(113,1),(114,1),(118,1),(173,1)}
        84:{2,4,5}:{(57,1),(58,1),(109,1),(115,1),(169,1),(217,1)}
        85:{1,4,6}:{(58,1),(59,1),(113,1),(115,1)}
        86:{1,2,5,6}:{(59,1),(114,1),(116,1),(169,1),(215,1)}
        87:{1,3,5,6}:{(60,1),(61,1),(65,1),(111,1),(117,1),(240,1)}
        88:{2,5,7}:{(61,1),(62,1),(117,1),(118,1)}
        89:{1,4,6,7}:{(62,1),(63,1),(113,1),(118,1),(171,1)}
        90:{1,2,6,7}:{(63,1),(114,1),(215,1)}
        91:{3,4,6}:{(64,1),(65,1),(120,1)}
        92:{2,4,5,7}:{(64,1),(66,1),(120,1),(121,1),(180,1),(222,1)}
        93:{2,3,5,6}:{(65,1),(66,1),(77,1),(117,1),(120,1),(122,1),(126,1),(166,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(78,1),(118,1),(121,1),(122,1),(123,1),(178,1),(226,1),(240,1),(241,1),(244,1)}
        95:{2,4,6,7}:{(67,1),(123,1),(124,1),(128,1),(168,1),(177,1),(180,1),(184,1),(215,1),(225,1),(239,1)}
        96:{2,3,5,7}:{(68,1),(69,1),(72,1),(126,1),(127,1),(178,1)}
        97:{1,3,4,7}:{(68,1),(70,1),(73,1),(127,1),(128,1),(133,1),(182,1),(224,1)}
        98:{1,3,5}:{(69,1),(70,1),(75,1),(129,1),(241,1)}
        99:{2,4,6}:{(70,1),(128,1),(129,1),(130,1),(184,1),(186,1)}
       100:{2,4,6}:{(71,1),(72,1),(77,1),(126,1),(131,1),(184,1)}
       101:{1,4,5,7}:{(72,1),(73,1),(75,1),(78,1),(127,1),(131,1),(224,1),(241,1)}
       102:{1,2,4,7}:{(73,1),(74,1),(76,1),(128,1),(133,1)}
       103:{1,2,4,5}:{(75,1),(76,1),(129,1),(134,1),(186,1)}
       104:{1,3,6}:{(76,1),(130,1),(133,1),(134,1)}
       105:{1,5,6}:{(77,1),(78,1),(131,1),(241,1)}
       106:{1,2,5,7}:{(78,1),(79,1),(123,1),(135,1),(136,1),(244,1)}
       107:{1,3,6,7}:{(79,1),(124,1),(133,1),(136,1),(187,1),(213,1),(237,1)}
       108:{2,3,4,7}:{(80,1),(82,1),(137,1),(138,1),(195,1),(203,1),(231,1)}
       109:{2,3,5}:{(80,1),(84,1),(139,1),(234,1),(243,1)}
       110:{1,3,4,6}:{(80,1),(85,1),(138,1),(139,1),(140,1),(145,1),(192,1),(193,1),(199,1),(229,1),(242,1)}
       111:{1,3,4,6}:{(81,1),(87,1),(91,1),(141,1),(149,1),(193,1),(202,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(84,1),(88,1),(137,1),(141,1),(142,1),(194,1),(231,1),(243,1)}
       113:{1,4,7}:{(82,1),(83,1),(85,1)}
       114:{1,2,5,7}:{(83,1),(86,1),(90,1),(143,1),(194,1)}
       115:{1,4,5}:{(84,1),(85,1),(139,1),(229,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(140,1),(143,1),(144,1),(145,1)}
       117:{2,5,6}:{(87,1),(88,1),(141,1),(146,1),(243,1)}
       118:{1,5,7}:{(88,1),(89,1),(146,1)}
       119:{1,2,4,6,7}:{(89,1),(90,1),(95,1),(143,1),(147,1),(148,1),(153,1),(197,1),(201,1),(205,1),(235,1)}
       120:{2,4,6}:{(91,1),(92,1),(93,1),(149,1)}
       121:{1,4,5,7}:{(92,1),(94,1),(149,1),(150,1),(164,1),(201,1),(211,1),(233,1)}
       122:{1,3,5,6}:{(93,1),(94,1),(105,1),(146,1),(149,1),(151,1),(156,1),(193,1),(202,1)}
       123:{2,5,7}:{(94,1),(95,1),(151,1),(236,1),(243,1)}
       124:{2,3,6,7}:{(95,1),(107,1),(148,1),(152,1),(158,1),(195,1),(202,1),(208,1),(230,1)}
       125:{1,2,4,6}:{(99,1),(153,1),(154,1),(155,1),(205,1),(207,1),(235,1)}
       126:{2,3,6}:{(96,1),(100,1),(156,1),(202,1)}
       127:{1,3,5,7}:{(96,1),(97,1),(98,1),(101,1),(156,1),(157,1)}
       128:{2,4,7}:{(97,1),(99,1),(157,1),(158,1)}
       129:{2,5}:{(98,1),(99,1)}
       130:{2,3,6}:{(99,1),(104,1),(155,1),(158,1),(159,1)}
       131:{1,4,6}:{(100,1),(101,1),(105,1),(156,1)}
       132:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(106,1),(150,1),(157,1),(160,1),(161,1),(164,1),(209,1),(211,1),(236,1)}
       133:{1,3,7}:{(102,1),(104,1),(158,1)}
       134:{1,3,5}:{(103,1),(104,1),(159,1),(162,1)}
       135:{1,2,5,6}:{(105,1),(106,1),(151,1),(160,1),(163,1),(227,1),(236,1)}
       136:{1,3,5,7}:{(106,1),(107,1),(152,1),(163,1),(164,1)}
       137:{2,3,5,7}:{(108,1),(109,1),(112,1),(166,1),(167,1),(178,1)}
       138:{1,3,4,7}:{(108,1),(110,1),(113,1),(167,1),(168,1),(173,1),(213,1),(238,1)}
       139:{1,3,5}:{(109,1),(110,1),(115,1),(169,1),(244,1)}
       140:{2,4,6}:{(110,1),(168,1),(169,1),(170,1),(215,1),(217,1)}
       141:{2,4,6}:{(111,1),(112,1),(117,1),(166,1),(171,1),(215,1)}
       142:{1,4,5,7}:{(112,1),(113,1),(115,1),(118,1),(167,1),(171,1),(238,1),(244,1)}
       143:{1,2,4,7}:{(113,1),(114,1),(116,1),(168,1),(173,1)}
       144:{1,2,4,5}:{(115,1),(116,1),(169,1),(174,1),(217,1)}
       145:{1,3,6}:{(116,1),(170,1),(173,1),(174,1)}
       146:{1,5,6}:{(117,1),(118,1),(171,1),(244,1)}
       147:{1,2,5,7}:{(118,1),(119,1),(123,1),(175,1),(176,1),(241,1)}
       148:{1,3,6,7}:{(119,1),(124,1),(173,1),(176,1),(182,1),(218,1),(223,1)}
       149:{1,4,6}:{(120,1),(121,1),(122,1),(177,1)}
       150:{2,4,5,7}:{(121,1),(123,1),(177,1),(178,1),(180,1),(222,1)}
       151:{2,5,6}:{(122,1),(123,1),(177,1),(184,1),(215,1)}
       152:{2,3,5,7}:{(123,1),(124,1),(136,1),(176,1),(178,1),(179,1),(180,1)}
       153:{1,2,4,7}:{(125,1),(128,1),(181,1),(182,1),(224,1)}
       154:{1,2,5}:{(125,1),(129,1),(183,1),(241,1)}
       155:{1,3,6}:{(125,1),(130,1),(182,1),(183,1)}
       156:{1,3,6}:{(126,1),(127,1),(131,1),(184,1)}
       157:{2,5,7}:{(127,1),(128,1),(129,1),(184,1)}
       158:{2,3,7}:{(128,1),(130,1),(133,1),(182,1)}
       159:{2,3,5}:{(129,1),(130,1),(134,1),(183,1),(186,1)}
       160:{1,2,4,6}:{(131,1),(132,1),(135,1),(177,1),(184,1),(187,1),(189,1),(225,1)}
       161:{1,3,5,7}:{(132,1),(133,1),(134,1),(178,1),(185,1),(187,1),(188,1),(226,1)}
       162:{1,3,4}:{(134,1),(186,1)}
       163:{1,3,5,6}:{(135,1),(136,1),(179,1),(187,1),(189,1),(226,1),(237,1),(244,1)}
       164:{1,4,7}:{(136,1),(180,1),(189,1)}
       165:{1,2,4,6}:{(140,1),(190,1),(191,1),(192,1),(227,1),(229,1),(242,1)}
       166:{2,3,6}:{(137,1),(141,1),(193,1),(202,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(139,1),(142,1),(193,1),(194,1)}
       168:{2,4,7}:{(138,1),(140,1),(194,1),(195,1)}
       169:{2,5}:{(139,1),(140,1)}
       170:{2,3,6}:{(140,1),(145,1),(192,1),(195,1),(196,1)}
       171:{1,4,6}:{(141,1),(142,1),(146,1),(193,1)}
       172:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(150,1),(194,1),(197,1),(198,1),(201,1),(231,1),(233,1),(243,1)}
       173:{1,3,7}:{(143,1),(145,1),(195,1)}
       174:{1,3,5}:{(144,1),(145,1),(196,1),(199,1)}
       175:{1,2,5,6}:{(146,1),(147,1),(151,1),(197,1),(200,1),(205,1),(243,1)}
       176:{1,3,5,7}:{(147,1),(148,1),(152,1),(200,1),(201,1)}
       177:{2,4,6}:{(149,1),(150,1),(151,1),(202,1)}
       178:{3,5,7}:{(150,1),(202,1),(203,1),(234,1)}
       179:{2,3,5,6}:{(151,1),(152,1),(163,1),(200,1),(202,1),(204,1),(208,1),(230,1),(234,1),(236,1),(243,1)}
       180:{2,4,7}:{(152,1),(164,1),(201,1),(203,1),(204,1)}
       181:{1,2,5,7}:{(153,1),(154,1),(157,1),(205,1),(206,1)}
       182:{1,3,7}:{(153,1),(155,1),(158,1)}
       183:{1,3,5}:{(154,1),(155,1),(159,1),(207,1)}
       184:{2,6}:{(156,1),(157,1)}
       185:{2,3,5,7}:{(157,1),(158,1),(159,1),(161,1),(206,1),(208,1),(209,1),(236,1)}
       186:{2,4}:{(159,1),(162,1),(207,1)}
       187:{1,3,6}:{(160,1),(161,1),(202,1),(208,1)}
       188:{1,3,4,7}:{(161,1),(162,1),(164,1),(203,1),(209,1),(210,1)}
       189:{1,4,6}:{(163,1),(164,1),(204,1),(211,1)}
       190:{1,2,4,7}:{(165,1),(168,1),(212,1),(213,1),(238,1)}
       191:{1,2,5}:{(165,1),(169,1),(214,1),(244,1)}
       192:{1,3,6}:{(165,1),(170,1),(213,1),(214,1)}
       193:{1,3,6}:{(166,1),(167,1),(171,1),(215,1)}
       194:{2,5,7}:{(167,1),(168,1),(169,1),(215,1)}
       195:{2,3,7}:{(168,1),(170,1),(173,1),(213,1)}
       196:{2,3,5}:{(169,1),(170,1),(174,1),(214,1),(217,1)}
       197:{1,2,4,6}:{(171,1),(172,1),(175,1),(177,1),(215,1),(218,1),(220,1),(239,1)}
       198:{1,3,5,7}:{(172,1),(173,1),(174,1),(178,1),(216,1),(218,1),(219,1),(240,1)}
       199:{1,3,4}:{(174,1),(217,1)}
       200:{1,3,5,6}:{(175,1),(176,1),(179,1),(218,1),(220,1),(223,1),(240,1),(241,1)}
       201:{1,4,7}:{(176,1),(180,1),(220,1)}
       202:{3,6}:{(177,1),(178,1)}
       203:{3,4,7}:{(178,1),(180,1),(221,1)}
       204:{2,4,6}:{(179,1),(180,1),(189,1),(220,1),(221,1),(222,1)}
       205:{1,2,6}:{(181,1),(184,1),(223,1)}
       206:{1,3,5,7}:{(181,1),(182,1),(183,1),(185,1),(223,1),(224,1),(241,1)}
       207:{1,4}:{(183,1),(186,1)}
       208:{2,3,6}:{(184,1),(185,1),(187,1),(223,1),(225,1)}
       209:{2,4,7}:{(185,1),(186,1),(188,1),(224,1),(225,1)}
       210:{1,3,4,6}:{(187,1),(188,1),(189,1),(221,1),(225,1),(226,1)}
       211:{1,4,5}:{(189,1),(222,1),(226,1),(244,1)}
       212:{1,2,5,7}:{(190,1),(191,1),(194,1),(227,1),(228,1)}
       213:{1,3,7}:{(190,1),(192,1),(195,1)}
       214:{1,3,5}:{(191,1),(192,1),(196,1),(229,1)}
       215:{2,6}:{(193,1),(194,1)}
       216:{2,3,5,7}:{(194,1),(195,1),(196,1),(198,1),(228,1),(230,1),(231,1),(243,1)}
       217:{2,4}:{(196,1),(199,1),(229,1)}
       218:{1,3,6}:{(197,1),(198,1),(202,1),(230,1)}
       219:{1,3,4,7}:{(198,1),(199,1),(201,1),(203,1),(231,1),(232,1)}
       220:{1,4,6}:{(200,1),(201,1),(204,1),(233,1)}
       221:{3,4,6}:{(202,1),(203,1),(204,1),(234,1)}
       222:{2,4,5}:{(204,1),(211,1),(233,1),(234,1),(236,1),(243,1)}
       223:{1,3,6}:{(205,1),(206,1),(208,1),(235,1)}
       224:{1,4,7}:{(206,1),(207,1),(209,1),(235,1)}
       225:{2,4,6}:{(208,1),(209,1),(210,1),(235,1),(236,1)}
       226:{1,3,5}:{(210,1),(211,1),(234,1),(236,1)}
       227:{1,2,6}:{(212,1),(215,1),(237,1)}
       228:{1,3,5,7}:{(212,1),(213,1),(214,1),(216,1),(237,1),(238,1),(244,1)}
       229:{1,4}:{(214,1),(217,1)}
       230:{2,3,6}:{(215,1),(216,1),(218,1),(237,1),(239,1)}
       231:{2,4,7}:{(216,1),(217,1),(219,1),(238,1),(239,1)}
       232:{1,3,4,6}:{(218,1),(219,1),(220,1),(221,1),(239,1),(240,1)}
       233:{1,4,5}:{(220,1),(222,1),(240,1),(241,1)}
       234:{3,5}:{(221,1),(222,1)}
       235:{1,4,6}:{(223,1),(224,1),(225,1),(241,1)}
       236:{2,5}:{(225,1),(226,1),(241,1)}
       237:{1,3,6}:{(227,1),(228,1),(230,1),(242,1)}
       238:{1,4,7}:{(228,1),(229,1),(231,1),(242,1)}
       239:{2,4,6}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       240:{1,3,5}:{(232,1),(233,1),(234,1),(243,1)}
       241:{1,5}:{(235,1),(236,1)}
       242:{1,4,6}:{(237,1),(238,1),(239,1),(244,1)}
       243:{2,5}:{(239,1),(240,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2373 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2374 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(162,1),(175,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(54,1),(78,1),(115,1),(141,1),(185,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(206,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(88,1),(106,1),(228,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(162,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(174,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(172,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(233,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(197,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(55,1),(120,1),(139,1),(176,1),(189,1),(237,1),(245,1),(251,1),(282,1),(285,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(61,1),(135,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(136,1),(205,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(185,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(141,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(134,1),(202,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(124,1),(127,1),(135,1),(179,1),(195,1),(203,1),(206,1),(207,1),(239,1),(251,1),(283,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(34,1),(105,1),(143,1),(217,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(34,1),(35,1),(82,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(156,1),(173,1),(222,1),(269,1),(298,1),(300,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(34,1),(39,1),(40,1),(84,1),(91,1),(169,1),(208,1),(214,1),(217,1),(220,1),(227,1),(228,1),(299,1)}
        23:{2,4,5}:{(11,1),(35,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(232,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(170,1),(234,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(170,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(34,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(35,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(172,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(81,1),(105,1),(147,1),(151,1),(169,1),(172,1),(174,1),(211,1),(214,1),(263,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(82,1),(150,1),(162,1),(216,1),(274,1),(298,1)}
        33:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(55,1),(56,1),(71,1),(130,1),(138,1),(176,1),(177,1),(204,1),(237,1),(256,1)}
        34:{1,3,4,7}:{(19,1),(20,1),(27,1),(57,1),(113,1),(134,1)}
        35:{2,4,6}:{(20,1),(23,1),(28,1),(57,1),(58,1)}
        36:{1,2,4,5}:{(23,1),(53,1),(61,1),(121,1),(135,1),(179,1)}
        37:{3,4,5,6}:{(54,1),(62,1),(250,1),(259,1)}
        38:{2,3,5,6}:{(21,1),(55,1),(62,1),(63,1),(206,1),(259,1),(294,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(125,1),(195,1),(197,1),(203,1),(309,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(57,1),(64,1),(65,1),(116,1),(186,1),(198,1),(236,1),(247,1)}
        41:{2,3,5}:{(23,1),(58,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(257,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(179,1),(239,1)}
        44:{3,4,6,7}:{(25,1),(54,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(55,1),(68,1),(71,1),(72,1),(130,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(57,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(58,1),(70,1),(74,1),(75,1),(110,1),(119,1),(179,1),(188,1),(206,1),(239,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(202,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(136,1),(138,1),(140,1),(203,1),(239,1),(283,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(113,1),(185,1),(282,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(195,1),(197,1),(250,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(43,1),(81,1),(82,1),(101,1),(144,1)}
        54:{3,4,5,7}:{(37,1),(44,1),(83,1),(234,1),(262,1)}
        55:{2,3,5,7}:{(33,1),(38,1),(83,1),(84,1),(172,1),(234,1),(278,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(46,1),(84,1),(85,1),(102,1),(148,1),(165,1),(168,1),(170,1),(208,1),(214,1),(217,1),(277,1)}
        57:{2,4,7}:{(34,1),(35,1),(47,1),(86,1)}
        58:{2,3,6}:{(35,1),(41,1),(82,1),(86,1)}
        59:{1,3,4,5,6}:{(37,1),(80,1),(89,1),(93,1),(158,1),(162,1),(226,1),(279,1)}
        60:{1,2,4,5,7}:{(36,1),(40,1),(81,1),(90,1),(91,1),(147,1),(157,1),(169,1),(211,1),(214,1),(223,1),(227,1),(260,1),(263,1),(270,1),(299,1),(312,1)}
        61:{1,3,5}:{(36,1),(41,1),(82,1),(88,1),(92,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(83,1),(93,1),(222,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(84,1),(93,1),(94,1),(162,1),(233,1),(305,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(164,1),(261,1),(271,1)}
        66:{2,3,4}:{(41,1),(92,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(80,1),(97,1),(102,1),(165,1),(170,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(278,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(81,1),(99,1),(100,1),(211,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(82,1),(100,1),(101,1),(150,1),(216,1),(233,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(83,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(84,1),(98,1),(102,1),(103,1),(165,1),(170,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(86,1),(100,1),(104,1),(105,1),(143,1),(172,1),(211,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(147,1),(172,1),(229,1),(233,1),(264,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(170,1),(216,1),(298,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(214,1),(217,1),(262,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(150,1),(227,1),(228,1),(274,1)}
        80:{1,3,4,5,7}:{(54,1),(59,1),(67,1),(111,1),(115,1),(180,1),(185,1),(242,1),(257,1)}
        81:{1,2,4,7}:{(53,1),(57,1),(69,1),(113,1),(134,1),(178,1)}
        82:{1,3,6}:{(53,1),(58,1),(61,1),(110,1),(113,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(62,1),(71,1),(115,1),(237,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(63,1),(115,1),(116,1),(185,1),(202,1),(293,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(64,1),(73,1),(116,1),(117,1),(186,1),(199,1),(236,1)}
        86:{2,3,7}:{(57,1),(58,1),(113,1)}
        87:{2,3,4,6}:{(58,1),(66,1),(75,1),(114,1),(118,1),(119,1),(188,1),(250,1)}
        88:{2,3,5}:{(61,1),(110,1),(121,1),(179,1)}
        89:{2,4,5,6}:{(59,1),(111,1),(122,1),(123,1),(193,1),(253,1),(294,1)}
        90:{1,2,4,6}:{(60,1),(64,1),(124,1),(125,1),(192,1),(195,1),(203,1),(239,1),(283,1),(309,1),(314,1)}
        91:{1,3,5,7}:{(60,1),(61,1),(65,1),(113,1),(120,1),(125,1),(126,1),(196,1),(280,1),(282,1),(287,1)}
        92:{1,3,4}:{(61,1),(66,1),(121,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(115,1),(127,1),(195,1)}
        94:{2,5,6}:{(63,1),(64,1),(116,1)}
        95:{2,3,6}:{(64,1),(65,1),(125,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(126,1),(129,1),(186,1),(288,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(111,1),(130,1),(131,1),(199,1)}
        98:{1,5,6,7}:{(68,1),(131,1),(293,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(133,1),(239,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(113,1),(133,1),(134,1),(202,1)}
       101:{1,4,6}:{(70,1),(75,1),(134,1),(135,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(115,1),(136,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(116,1),(136,1),(199,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(133,1),(138,1),(188,1),(239,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(134,1)}
       106:{2,4,5}:{(75,1),(79,1),(119,1),(135,1),(179,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(137,1),(140,1),(141,1),(182,1),(244,1),(255,1),(293,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(138,1),(140,1),(141,1),(142,1),(204,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(139,1),(141,1),(142,1),(184,1),(243,1),(245,1),(282,1)}
       110:{2,3,6}:{(82,1),(88,1),(143,1),(144,1)}
       111:{2,4,5,7}:{(80,1),(89,1),(97,1),(145,1),(146,1),(212,1),(266,1),(278,1)}
       112:{1,2,4,6,7}:{(81,1),(85,1),(90,1),(99,1),(147,1),(148,1),(168,1),(210,1),(214,1),(229,1),(260,1),(277,1)}
       113:{1,3,7}:{(81,1),(82,1),(86,1),(143,1)}
       114:{1,3,4,6}:{(82,1),(87,1),(92,1),(101,1),(144,1),(149,1),(150,1),(216,1)}
       115:{1,4,5,7}:{(83,1),(84,1),(93,1),(102,1),(151,1),(214,1)}
       116:{2,5,7}:{(84,1),(85,1),(94,1)}
       117:{2,3,6,7}:{(85,1),(86,1),(95,1),(148,1),(152,1),(170,1),(261,1)}
       118:{2,3,4,7}:{(86,1),(87,1),(105,1),(149,1),(154,1),(262,1)}
       119:{2,3,5}:{(87,1),(106,1),(150,1),(274,1)}
       120:{2,3,5,7}:{(88,1),(91,1),(143,1),(156,1),(157,1),(211,1),(223,1),(295,1),(301,1),(312,1)}
       121:{2,4}:{(88,1),(92,1)}
       122:{2,3,5,6}:{(89,1),(145,1),(155,1),(158,1),(162,1)}
       123:{1,4,5,6}:{(89,1),(146,1),(158,1),(275,1),(305,1)}
       124:{1,2,5,6}:{(90,1),(94,1),(147,1),(160,1),(223,1),(233,1),(264,1),(305,1)}
       125:{1,3,6}:{(90,1),(91,1),(95,1),(156,1),(298,1)}
       126:{1,3,4,7}:{(91,1),(92,1),(96,1),(157,1),(161,1),(214,1),(262,1),(302,1)}
       127:{2,4,5,6}:{(93,1),(94,1),(151,1),(162,1),(163,1)}
       128:{2,3,5,6}:{(94,1),(95,1),(152,1),(160,1),(162,1),(163,1),(164,1)}
       129:{2,3,4,6}:{(95,1),(96,1),(161,1),(163,1),(164,1)}
       130:{2,3,6,7}:{(97,1),(145,1),(165,1),(170,1)}
       131:{1,4,6,7}:{(97,1),(98,1),(146,1),(165,1)}
       132:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(147,1),(166,1),(167,1),(264,1),(278,1),(305,1)}
       133:{1,3,6,7}:{(99,1),(100,1),(104,1),(168,1),(216,1)}
       134:{1,4,7}:{(100,1),(101,1),(105,1)}
       135:{1,4,5}:{(101,1),(106,1),(150,1)}
       136:{2,4,6,7}:{(102,1),(103,1),(151,1),(170,1)}
       137:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(152,1),(167,1),(170,1),(171,1),(172,1),(209,1),(219,1),(230,1),(234,1),(264,1),(278,1),(298,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(108,1),(168,1),(172,1),(173,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(109,1),(154,1),(169,1),(172,1),(173,1),(211,1)}
       140:{1,4,6,7}:{(107,1),(171,1),(174,1),(214,1),(268,1)}
       141:{1,3,5,7}:{(108,1),(172,1),(174,1),(175,1),(234,1)}
       142:{1,3,4,6}:{(109,1),(173,1),(175,1),(216,1),(268,1),(269,1),(298,1)}
       143:{2,3,7}:{(110,1),(113,1),(178,1)}
       144:{2,4,6}:{(110,1),(114,1),(121,1),(178,1),(179,1),(239,1)}
       145:{2,3,5,7}:{(111,1),(122,1),(130,1),(176,1),(180,1),(185,1)}
       146:{1,4,5,7}:{(111,1),(123,1),(131,1),(180,1),(284,1),(293,1)}
       147:{1,2,5,7}:{(112,1),(116,1),(124,1),(182,1),(202,1),(238,1),(293,1)}
       148:{1,3,6,7}:{(112,1),(113,1),(117,1),(125,1),(177,1),(182,1),(280,1)}
       149:{1,3,4,7}:{(113,1),(114,1),(118,1),(134,1),(178,1),(184,1)}
       150:{1,3,5}:{(114,1),(119,1),(135,1),(179,1)}
       151:{2,4,5,7}:{(115,1),(116,1),(127,1),(136,1),(185,1),(186,1)}
       152:{2,3,5,7}:{(116,1),(117,1),(128,1),(182,1),(185,1),(186,1)}
       153:{2,3,4,6,7}:{(117,1),(118,1),(129,1),(138,1),(183,1),(186,1),(187,1),(188,1),(204,1),(246,1),(256,1),(281,1),(308,1)}
       154:{2,3,5,7}:{(118,1),(119,1),(139,1),(184,1),(188,1),(282,1)}
       155:{2,3,4,6}:{(122,1),(176,1),(189,1),(190,1),(197,1),(253,1),(289,1)}
       156:{2,3,6}:{(120,1),(125,1),(192,1),(239,1),(314,1)}
       157:{2,4,7}:{(120,1),(121,1),(126,1),(192,1),(310,1)}
       158:{1,3,5,6}:{(122,1),(123,1),(180,1),(190,1),(193,1)}
       159:{1,2,4,5,6}:{(123,1),(124,1),(127,1),(181,1),(193,1),(194,1),(195,1),(248,1),(251,1),(253,1),(258,1),(283,1),(292,1),(294,1),(309,1),(311,1),(314,1)}
       160:{1,3,5,6}:{(124,1),(125,1),(128,1),(182,1),(191,1),(195,1),(196,1)}
       161:{1,3,4,6}:{(125,1),(126,1),(129,1),(192,1),(195,1),(196,1),(250,1)}
       162:{3,5,6}:{(127,1),(185,1),(197,1)}
       163:{2,4,6}:{(128,1),(186,1),(195,1),(197,1),(198,1)}
       164:{2,3,5}:{(129,1),(196,1),(198,1)}
       165:{1,3,6,7}:{(130,1),(131,1),(180,1),(199,1)}
       166:{1,2,4,6,7}:{(131,1),(132,1),(136,1),(181,1),(199,1),(200,1),(201,1),(256,1),(283,1),(309,1),(314,1)}
       167:{1,3,5,6,7}:{(132,1),(133,1),(137,1),(182,1),(200,1),(201,1),(202,1),(244,1),(257,1)}
       168:{1,4,6,7}:{(133,1),(134,1),(138,1),(202,1),(203,1)}
       169:{1,4,5,7}:{(134,1),(135,1),(139,1),(184,1),(202,1),(203,1)}
       170:{3,6,7}:{(136,1),(185,1)}
       171:{2,4,6,7}:{(137,1),(140,1),(186,1),(201,1),(204,1),(205,1),(237,1),(246,1),(283,1)}
       172:{2,5,7}:{(138,1),(141,1),(202,1),(206,1)}
       173:{2,4,6}:{(139,1),(142,1),(188,1),(203,1),(206,1),(239,1)}
       174:{1,4,5,7}:{(140,1),(141,1),(205,1),(207,1),(293,1)}
       175:{1,3,5,6}:{(141,1),(142,1),(206,1),(207,1),(259,1)}
       176:{2,3,4,7}:{(145,1),(155,1),(208,1),(217,1),(266,1),(295,1)}
       177:{2,3,6,7}:{(143,1),(148,1),(156,1),(209,1),(210,1),(295,1),(298,1)}
       178:{2,4,7}:{(143,1),(144,1),(149,1),(211,1)}
       179:{2,5}:{(144,1),(150,1)}
       180:{1,3,5,7}:{(145,1),(146,1),(158,1),(165,1),(208,1),(212,1)}
       181:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(166,1),(212,1),(213,1),(214,1),(232,1),(260,1),(263,1),(266,1),(278,1),(299,1),(312,1)}
       182:{1,3,5,7}:{(147,1),(148,1),(152,1),(160,1),(209,1),(214,1)}
       183:{1,3,4,6,7}:{(148,1),(149,1),(153,1),(161,1),(168,1),(210,1),(214,1),(215,1),(216,1),(262,1),(268,1),(277,1),(296,1),(298,1),(313,1)}
       184:{1,3,5,7}:{(149,1),(150,1),(154,1),(169,1),(211,1),(216,1)}
       185:{3,5,7}:{(151,1),(162,1),(170,1),(217,1)}
       186:{2,4,7}:{(152,1),(163,1),(214,1),(217,1)}
       187:{2,3,5,7}:{(153,1),(164,1),(172,1),(215,1),(218,1),(219,1),(234,1),(278,1)}
       188:{2,3,6}:{(154,1),(173,1),(216,1),(298,1)}
       189:{2,3,4,5}:{(155,1),(220,1),(228,1),(276,1),(301,1)}
       190:{1,3,4,6}:{(155,1),(158,1),(208,1),(220,1),(221,1),(272,1),(275,1)}
       191:{2,3,5,6}:{(156,1),(160,1),(209,1),(222,1),(223,1),(264,1),(274,1),(298,1)}
       192:{2,4,6}:{(156,1),(157,1),(161,1),(223,1)}
       193:{2,5,6}:{(158,1),(212,1),(221,1)}
       194:{1,3,5,6}:{(159,1),(162,1),(213,1),(225,1),(226,1),(272,1),(274,1),(298,1),(304,1),(313,1)}
       195:{1,4,6}:{(160,1),(163,1),(214,1),(222,1),(227,1)}
       196:{1,3,5}:{(161,1),(164,1),(223,1),(227,1),(274,1)}
       197:{3,4,6}:{(162,1),(163,1),(217,1),(228,1)}
       198:{2,4,5}:{(163,1),(164,1),(227,1),(228,1)}
       199:{2,6,7}:{(165,1),(212,1)}
       200:{1,3,6,7}:{(166,1),(170,1),(213,1),(230,1),(298,1),(313,1)}
       201:{1,4,6,7}:{(167,1),(171,1),(214,1),(232,1),(268,1)}
       202:{1,5,7}:{(168,1),(172,1),(233,1)}
       203:{1,4,6}:{(169,1),(173,1),(216,1),(233,1)}
       204:{3,4,6,7}:{(170,1),(171,1),(217,1),(234,1),(262,1),(269,1),(298,1)}
       205:{2,4,5,7}:{(171,1),(172,1),(174,1),(232,1),(234,1),(235,1),(278,1)}
       206:{2,5,6}:{(172,1),(173,1),(175,1),(233,1)}
       207:{1,4,5,6}:{(174,1),(175,1),(235,1),(268,1),(305,1)}
       208:{1,3,4,7}:{(176,1),(180,1),(190,1),(236,1),(280,1),(284,1)}
       209:{2,3,5,7}:{(177,1),(182,1),(191,1),(237,1),(238,1),(282,1)}
       210:{2,4,6,7}:{(177,1),(178,1),(183,1),(192,1),(237,1),(238,1),(239,1),(283,1),(306,1),(314,1)}
       211:{2,5,7}:{(178,1),(179,1),(184,1),(239,1)}
       212:{2,5,7}:{(180,1),(193,1),(199,1),(236,1)}
       213:{1,3,5,7}:{(181,1),(185,1),(194,1),(200,1),(241,1),(242,1),(280,1),(282,1)}
       214:{1,4,7}:{(182,1),(186,1),(195,1),(237,1)}
       215:{1,3,5,7}:{(183,1),(187,1),(196,1),(202,1),(238,1),(243,1),(244,1),(282,1),(293,1)}
       216:{1,3,6}:{(184,1),(188,1),(203,1),(239,1)}
       217:{3,4,7}:{(185,1),(186,1),(197,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(198,1),(243,1),(245,1),(246,1)}
       219:{2,3,5,6}:{(187,1),(188,1),(206,1),(244,1),(246,1),(259,1),(294,1),(308,1)}
       220:{1,3,4,5}:{(189,1),(190,1),(247,1),(287,1),(292,1)}
       221:{2,4,6}:{(190,1),(193,1),(236,1),(247,1),(249,1)}
       222:{2,4,6}:{(191,1),(195,1),(237,1),(250,1),(251,1)}
       223:{2,5}:{(192,1),(196,1)}
       224:{1,2,5,6}:{(193,1),(240,1),(248,1),(252,1),(311,1),(314,1)}
       225:{2,3,5,6}:{(193,1),(194,1),(241,1),(249,1),(252,1),(253,1),(289,1),(291,1),(294,1),(308,1),(311,1),(314,1)}
       226:{1,3,4,6}:{(194,1),(195,1),(197,1),(242,1),(250,1),(253,1),(254,1)}
       227:{1,4,5}:{(195,1),(196,1),(198,1),(251,1)}
       228:{3,4,5}:{(197,1),(198,1)}
       229:{1,2,6,7}:{(199,1),(240,1),(255,1),(314,1)}
       230:{2,3,6,7}:{(199,1),(200,1),(241,1),(255,1),(256,1),(308,1),(314,1)}
       231:{1,3,4,6,7}:{(200,1),(201,1),(204,1),(242,1),(256,1),(257,1),(286,1)}
       232:{1,4,5,7}:{(201,1),(202,1),(205,1),(257,1),(258,1)}
       233:{1,5,6}:{(202,1),(203,1),(206,1)}
       234:{3,5,7}:{(204,1),(205,1),(259,1)}
       235:{2,4,5,6}:{(205,1),(206,1),(207,1),(246,1),(258,1),(259,1),(283,1),(294,1)}
       236:{2,4,7}:{(208,1),(212,1),(221,1),(261,1)}
       237:{2,4,7}:{(209,1),(214,1),(222,1),(262,1)}
       238:{2,5,7}:{(210,1),(215,1),(223,1),(264,1)}
       239:{2,6}:{(211,1),(216,1)}
       240:{1,2,5,7}:{(212,1),(224,1),(229,1),(260,1),(265,1),(312,1)}
       241:{2,3,5,7}:{(212,1),(213,1),(225,1),(230,1),(261,1),(265,1),(266,1),(278,1),(295,1),(312,1)}
       242:{1,3,4,7}:{(213,1),(214,1),(217,1),(226,1),(262,1),(266,1)}
       243:{1,4,5,7}:{(214,1),(215,1),(218,1),(227,1),(263,1),(268,1)}
       244:{1,3,5,6}:{(215,1),(216,1),(219,1),(233,1),(264,1),(268,1),(298,1),(305,1),(313,1)}
       245:{3,4,5,7}:{(217,1),(218,1),(228,1),(234,1),(269,1)}
       246:{2,4,6}:{(218,1),(219,1),(268,1),(269,1)}
       247:{2,4,5}:{(220,1),(221,1),(271,1)}
       248:{1,2,4,6}:{(221,1),(224,1),(260,1),(270,1),(272,1),(275,1),(303,1)}
       249:{2,3,6}:{(221,1),(261,1),(271,1),(272,1)}
       250:{3,4,6}:{(222,1),(262,1),(274,1),(298,1)}
       251:{2,4,5}:{(222,1),(223,1),(227,1),(274,1)}
       252:{1,3,5,6}:{(224,1),(225,1),(265,1),(272,1),(275,1),(304,1),(305,1),(313,1)}
       253:{2,4,6}:{(225,1),(226,1),(266,1),(275,1),(276,1)}
       254:{1,3,4,5}:{(226,1),(227,1),(228,1),(274,1),(276,1),(304,1)}
       255:{1,3,6,7}:{(229,1),(230,1),(265,1),(277,1),(313,1)}
       256:{2,4,6,7}:{(230,1),(231,1),(266,1),(277,1),(278,1),(300,1)}
       257:{1,3,5,7}:{(231,1),(232,1),(234,1),(278,1),(279,1)}
       258:{1,4,5,6}:{(232,1),(233,1),(235,1),(268,1),(279,1)}
       259:{3,5,6}:{(234,1),(235,1),(269,1),(298,1)}
       260:{1,2,4,7}:{(236,1),(240,1),(248,1),(280,1),(284,1),(306,1)}
       261:{2,3,7}:{(236,1),(249,1),(280,1)}
       262:{3,4,7}:{(237,1),(250,1),(282,1)}
       263:{2,4,5,7}:{(237,1),(238,1),(243,1),(251,1),(282,1),(283,1)}
       264:{2,5,6}:{(238,1),(239,1),(244,1),(283,1),(314,1)}
       265:{1,3,5,7}:{(240,1),(241,1),(252,1),(255,1),(280,1),(284,1),(293,1)}
       266:{2,4,7}:{(241,1),(242,1),(253,1),(284,1)}
       267:{1,3,4,5,7}:{(242,1),(243,1),(245,1),(254,1),(257,1),(282,1),(285,1),(286,1),(307,1)}
       268:{1,4,6}:{(243,1),(244,1),(246,1),(283,1)}
       269:{3,4,6}:{(245,1),(246,1),(259,1)}
       270:{1,2,4,5}:{(247,1),(248,1),(287,1),(292,1),(310,1),(311,1)}
       271:{2,3,5}:{(247,1),(249,1),(287,1),(288,1)}
       272:{1,3,6}:{(248,1),(249,1),(280,1),(287,1),(289,1)}
       273:{2,3,4,6}:{(249,1),(250,1),(253,1),(281,1),(288,1),(290,1),(291,1),(308,1)}
       274:{3,5}:{(250,1),(251,1)}
       275:{1,4,6}:{(252,1),(253,1),(284,1),(292,1)}
       276:{2,4,5}:{(253,1),(254,1),(291,1),(292,1),(311,1)}
       277:{1,4,6,7}:{(255,1),(256,1),(284,1),(293,1),(309,1)}
       278:{2,5,7}:{(256,1),(257,1),(293,1),(294,1)}
       279:{1,3,5,6}:{(257,1),(258,1),(259,1),(286,1),(294,1)}
       280:{1,3,7}:{(260,1),(261,1),(272,1),(295,1)}
       281:{2,3,4,7}:{(261,1),(262,1),(266,1),(273,1),(296,1),(297,1)}
       282:{3,5,7}:{(262,1),(263,1),(274,1),(298,1)}
       283:{2,4,6}:{(263,1),(264,1),(268,1),(298,1)}
       284:{1,4,7}:{(265,1),(266,1),(275,1)}
       285:{2,4,5,7}:{(266,1),(267,1),(276,1),(278,1),(297,1),(299,1),(300,1),(312,1)}
       286:{1,3,4,6}:{(267,1),(268,1),(269,1),(279,1),(298,1),(300,1),(313,1)}
       287:{1,3,5}:{(270,1),(271,1),(272,1),(301,1),(302,1)}
       288:{2,3,4}:{(271,1),(302,1)}
       289:{2,3,6}:{(272,1),(295,1),(301,1),(303,1)}
       290:{1,3,4,6}:{(272,1),(273,1),(275,1),(296,1),(302,1),(303,1),(304,1),(313,1)}
       291:{2,3,5}:{(273,1),(274,1),(276,1),(304,1)}
       292:{1,4,5}:{(275,1),(276,1),(304,1)}
       293:{1,5,7}:{(277,1),(278,1),(305,1)}
       294:{2,5,6}:{(278,1),(279,1),(300,1),(305,1)}
       295:{2,3,7}:{(280,1),(289,1),(306,1)}
       296:{1,3,4,7}:{(280,1),(281,1),(284,1),(290,1),(306,1),(307,1)}
       297:{2,3,5,7}:{(281,1),(282,1),(285,1),(291,1),(307,1),(308,1)}
       298:{3,6}:{(282,1),(283,1)}
       299:{1,4,5,7}:{(284,1),(285,1),(292,1),(293,1),(307,1),(309,1)}
       300:{2,4,6}:{(285,1),(286,1),(294,1),(308,1),(309,1),(314,1)}
       301:{2,3,5}:{(287,1),(289,1),(310,1),(311,1)}
       302:{1,3,4}:{(287,1),(288,1),(310,1)}
       303:{2,4,6}:{(289,1),(290,1),(306,1),(310,1),(311,1),(314,1)}
       304:{1,3,5}:{(290,1),(291,1),(292,1),(311,1)}
       305:{1,5,6}:{(293,1),(294,1),(309,1)}
       306:{2,4,7}:{(295,1),(296,1),(303,1),(312,1)}
       307:{1,3,5,7}:{(296,1),(297,1),(299,1),(304,1),(312,1),(313,1)}
       308:{2,3,6}:{(297,1),(298,1),(300,1),(313,1)}
       309:{1,4,6}:{(299,1),(300,1),(305,1),(313,1)}
       310:{2,4}:{(301,1),(302,1)}
       311:{2,5}:{(303,1),(304,1)}
       312:{2,5,7}:{(306,1),(307,1),(311,1),(314,1)}
       313:{1,3,6}:{(307,1),(308,1),(309,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2375 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(32,1),(40,1),(44,1),(47,1),(98,1),(105,1),(190,1),(195,1),(284,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(58,1),(61,1),(324,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(22,1),(26,1),(71,1),(152,1),(239,1),(323,1)}
         3:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(44,1),(95,1),(190,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(33,1),(195,1),(285,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(101,1),(358,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(44,1),(98,1),(112,1),(202,1),(283,1),(370,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(34,1),(51,1),(104,1),(217,1),(219,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(61,1),(72,1),(78,1),(131,1),(163,1),(227,1)}
         9:{1,3,5}:{(3,1),(4,1),(19,1)}
        10:{1,3,4,7}:{(3,1),(5,1),(20,1),(22,1),(239,1)}
        11:{1,2,4,5,6}:{(4,1),(21,1),(24,1),(25,1),(29,1),(61,1),(84,1),(137,1),(142,1),(149,1),(151,1),(224,1),(243,1),(262,1),(317,1),(324,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(62,1),(76,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(23,1),(25,1),(26,1),(144,1),(148,1),(335,1),(398,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(61,1),(84,1),(149,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(63,1),(85,1),(150,1),(263,1),(265,1),(341,1)}
        16:{1,3,4,5}:{(9,1),(33,1),(34,1),(285,1),(302,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(190,1)}
        18:{1,3,4,6}:{(8,1),(36,1),(38,1),(39,1),(95,1),(99,1),(110,1),(190,1)}
        19:{2,3,5}:{(8,1),(9,1),(33,1),(38,1)}
        20:{2,3,4,7}:{(8,1),(10,1),(39,1),(41,1),(101,1),(211,1),(272,1)}
        21:{1,3,5,6}:{(9,1),(11,1),(34,1),(40,1),(43,1),(44,1),(190,1),(304,1),(354,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,4,6,7}:{(10,1),(13,1),(42,1),(44,1),(45,1),(116,1),(192,1),(283,1),(296,1),(358,1),(368,1),(371,1)}
        24:{1,2,4,5,7}:{(11,1),(43,1),(46,1),(53,1),(101,1),(125,1),(187,1),(193,1),(199,1),(201,1),(269,1),(286,1),(303,1),(353,1),(358,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(47,1),(102,1),(116,1)}
        26:{1,2,5,7}:{(13,1),(45,1),(47,1),(195,1),(199,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(49,1),(179,1),(302,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(99,1),(198,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(101,1),(125,1),(199,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(307,1)}
        32:{1,2,3,5}:{(17,1),(58,1),(65,1),(140,1)}
        33:{2,4,5}:{(16,1),(19,1),(60,1),(61,1)}
        34:{1,3,4,6}:{(16,1),(21,1),(61,1),(63,1),(324,1),(339,1),(382,1)}
        35:{1,3,4,5,7}:{(16,1),(22,1),(62,1),(63,1),(64,1),(76,1),(150,1),(161,1)}
        36:{1,2,4,6}:{(17,1),(18,1),(58,1),(65,1),(66,1),(153,1)}
        37:{1,2,3,7}:{(17,1),(66,1),(239,1)}
        38:{1,3,5}:{(18,1),(19,1),(60,1),(65,1)}
        39:{1,3,4,7}:{(18,1),(20,1),(66,1),(69,1),(146,1),(239,1)}
        40:{2,3,5,6}:{(19,1),(21,1),(61,1),(68,1),(71,1),(72,1),(84,1),(149,1),(163,1),(224,1),(227,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(69,1),(72,1)}
        42:{2,3,4,6,7}:{(20,1),(23,1),(70,1),(72,1),(73,1),(148,1),(160,1),(165,1),(229,1),(253,1),(257,1),(258,1),(313,1),(333,1),(336,1),(338,1),(381,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(63,1),(71,1),(74,1),(239,1),(341,1),(384,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(73,1),(75,1),(76,1),(241,1),(396,1)}
        46:{1,2,4,6,7}:{(24,1),(25,1),(74,1),(77,1),(87,1),(148,1),(162,1),(172,1),(236,1),(266,1),(310,1),(379,1)}
        47:{1,2,5,6}:{(25,1),(26,1),(75,1),(149,1),(398,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(80,1),(140,1)}
        49:{2,3,4,6}:{(27,1),(28,1),(61,1),(80,1),(82,1),(227,1),(339,1)}
        50:{2,3,4,5,7}:{(27,1),(62,1),(81,1),(82,1),(83,1),(161,1),(170,1),(228,1),(256,1),(315,1),(340,1),(381,1),(399,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(80,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(82,1),(85,1),(86,1),(341,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(146,1),(246,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(150,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(91,1),(117,1),(352,1)}
        57:{1,3,4,5,6}:{(34,1),(93,1),(94,1),(104,1),(177,1),(278,1),(280,1),(354,1)}
        58:{1,2,4}:{(32,1),(95,1)}
        59:{1,2,3,5,7}:{(32,1),(37,1),(97,1),(98,1),(106,1),(191,1),(195,1),(369,1),(370,1),(419,1)}
        60:{1,4,5}:{(33,1),(38,1),(99,1)}
        61:{2,4,6}:{(33,1),(34,1),(40,1),(99,1),(101,1)}
        62:{2,4,5,7}:{(33,1),(35,1),(41,1),(100,1),(101,1),(102,1),(199,1)}
        63:{1,3,4,7}:{(34,1),(43,1),(101,1),(358,1),(372,1),(407,1)}
        64:{1,3,4,6}:{(35,1),(44,1),(102,1),(104,1),(116,1),(210,1)}
        65:{1,2,5}:{(36,1),(38,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(39,1),(106,1)}
        67:{1,2,3,6,7}:{(37,1),(98,1),(107,1),(108,1),(283,1),(294,1),(367,1),(420,1)}
        68:{1,3,5,6}:{(38,1),(40,1),(99,1),(105,1),(109,1),(110,1),(190,1),(198,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(100,1),(106,1),(110,1)}
        70:{1,3,4,6,7}:{(39,1),(42,1),(107,1),(110,1),(111,1),(192,1),(197,1),(205,1),(207,1),(283,1),(294,1),(358,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(101,1),(109,1),(112,1),(125,1),(199,1),(211,1),(269,1),(272,1)}
        72:{2,3,6}:{(41,1),(44,1),(102,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(111,1),(113,1),(114,1),(199,1),(213,1),(274,1),(292,1),(365,1)}
        74:{1,3,6,7}:{(43,1),(44,1),(46,1),(112,1),(307,1),(405,1)}
        75:{1,3,5,6}:{(44,1),(45,1),(47,1),(113,1),(116,1),(366,1),(368,1)}
        76:{1,4,5,7}:{(45,1),(114,1),(116,1),(285,1),(358,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(115,1),(128,1),(199,1),(220,1),(281,1),(286,1),(347,1),(420,1)}
        78:{2,3,4}:{(95,1),(117,1)}
        79:{2,4,5}:{(48,1),(117,1),(119,1)}
        80:{1,3,4,6}:{(48,1),(49,1),(51,1),(99,1),(119,1),(121,1),(190,1)}
        81:{1,3,4,5,7}:{(48,1),(50,1),(100,1),(120,1),(121,1),(122,1),(191,1),(216,1),(285,1),(299,1),(302,1),(358,1),(372,1),(374,1),(421,1)}
        82:{2,3,4,7}:{(49,1),(52,1),(101,1),(121,1),(272,1),(372,1)}
        83:{2,3,4,6}:{(50,1),(102,1),(122,1),(124,1),(210,1),(273,1),(298,1),(351,1)}
        84:{2,5,6}:{(51,1),(119,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(121,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(307,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(199,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(309,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(133,1),(140,1)}
        91:{2,3,4,6}:{(56,1),(61,1),(130,1),(133,1),(135,1),(163,1),(382,1)}
        92:{2,3,4,5,7}:{(56,1),(62,1),(134,1),(135,1),(136,1),(161,1),(164,1),(234,1),(256,1),(260,1),(338,1),(383,1),(427,1)}
        93:{2,4,5,6}:{(57,1),(61,1),(130,1),(137,1),(138,1),(149,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(63,1),(138,1),(139,1),(150,1),(225,1),(318,1),(320,1),(384,1)}
        95:{1,3,4}:{(58,1),(78,1),(131,1),(140,1)}
        96:{1,2,4,5}:{(58,1),(60,1),(65,1),(79,1),(132,1),(140,1),(142,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(141,1),(144,1),(436,1)}
        98:{1,2,3,6}:{(59,1),(144,1),(153,1),(240,1),(398,1)}
        99:{1,4,6}:{(60,1),(61,1),(68,1),(146,1)}
       100:{1,4,5,7}:{(60,1),(62,1),(69,1),(146,1),(147,1),(246,1)}
       101:{2,4,7}:{(61,1),(63,1),(71,1),(146,1)}
       102:{2,4,6}:{(62,1),(64,1),(72,1),(147,1),(149,1)}
       103:{1,3,4,6,7}:{(63,1),(64,1),(74,1),(148,1),(150,1),(162,1),(257,1)}
       104:{1,3,5,6}:{(64,1),(149,1),(150,1),(151,1),(249,1)}
       105:{1,2,5,6}:{(65,1),(68,1),(84,1),(142,1),(152,1),(153,1),(224,1)}
       106:{1,2,5,7}:{(65,1),(66,1),(69,1),(153,1)}
       107:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(144,1),(153,1),(154,1),(155,1),(251,1),(336,1)}
       108:{1,2,3,5,7}:{(67,1),(145,1),(154,1),(155,1),(252,1),(323,1),(392,1),(435,1),(453,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(146,1),(152,1),(156,1),(239,1),(246,1)}
       110:{1,3,6}:{(69,1),(72,1),(147,1),(153,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(154,1),(157,1),(158,1),(241,1),(246,1)}
       112:{2,3,6,7}:{(71,1),(72,1),(74,1),(148,1),(156,1),(172,1),(310,1)}
       113:{2,3,5,6}:{(72,1),(73,1),(75,1),(149,1),(157,1),(160,1),(249,1),(331,1),(333,1)}
       114:{2,4,5,7}:{(73,1),(76,1),(158,1),(160,1),(161,1),(260,1),(315,1),(338,1),(381,1)}
       115:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(150,1),(159,1),(162,1),(323,1),(396,1),(397,1)}
       116:{1,4,6}:{(75,1),(76,1),(160,1)}
       117:{2,3,5}:{(78,1),(79,1),(140,1),(163,1)}
       118:{2,3,4,7}:{(78,1),(141,1),(164,1),(165,1),(338,1),(439,1)}
       119:{2,4,6}:{(79,1),(80,1),(84,1),(163,1),(166,1)}
       120:{2,4,5,7}:{(79,1),(81,1),(164,1),(166,1),(167,1),(260,1),(261,1),(338,1),(401,1),(437,1)}
       121:{1,3,4,7}:{(80,1),(82,1),(85,1),(146,1),(166,1),(239,1)}
       122:{1,3,4,6}:{(81,1),(83,1),(147,1),(167,1),(169,1),(240,1),(324,1),(337,1),(339,1)}
       123:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(148,1),(168,1),(170,1),(174,1),(257,1),(313,1),(336,1),(345,1),(381,1),(399,1)}
       124:{2,3,5,6}:{(83,1),(149,1),(169,1),(170,1),(171,1),(249,1),(331,1)}
       125:{2,5,7}:{(84,1),(85,1),(166,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(170,1),(173,1),(174,1),(176,1),(268,1),(345,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(246,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(248,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(91,1),(93,1),(177,1),(178,1),(354,1)}
       131:{2,3,4}:{(95,1),(179,1)}
       132:{2,4,5}:{(90,1),(179,1),(181,1)}
       133:{1,3,4,6}:{(90,1),(91,1),(99,1),(177,1),(181,1),(183,1),(190,1)}
       134:{1,3,4,5,7}:{(90,1),(92,1),(100,1),(182,1),(183,1),(184,1),(191,1),(277,1),(285,1),(299,1),(352,1),(358,1),(407,1),(409,1),(441,1)}
       135:{2,3,4,7}:{(91,1),(101,1),(178,1),(183,1),(211,1),(407,1)}
       136:{2,3,4,6}:{(92,1),(102,1),(184,1),(186,1),(210,1),(212,1),(298,1),(301,1)}
       137:{1,4,5,6}:{(93,1),(99,1),(177,1),(187,1),(198,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(101,1),(178,1),(187,1),(188,1),(199,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(348,1),(349,1),(405,1)}
       140:{1,3,5}:{(95,1),(96,1),(117,1),(179,1),(190,1)}
       141:{1,3,4,7}:{(95,1),(97,1),(118,1),(180,1),(191,1),(192,1),(358,1),(447,1)}
       142:{1,2,4,6}:{(96,1),(99,1),(105,1),(119,1),(181,1),(190,1),(193,1)}
       143:{1,2,4,5,7}:{(96,1),(97,1),(100,1),(106,1),(120,1),(182,1),(191,1),(193,1),(194,1),(195,1),(285,1),(286,1),(299,1),(358,1),(369,1),(416,1),(445,1)}
       144:{1,2,4,6}:{(97,1),(98,1),(192,1),(195,1)}
       145:{1,2,3,5,6}:{(98,1),(108,1),(195,1),(196,1),(203,1),(284,1),(288,1),(294,1),(362,1),(418,1),(419,1),(446,1)}
       146:{1,4,7}:{(99,1),(101,1),(109,1)}
       147:{1,4,6}:{(100,1),(102,1),(110,1),(198,1)}
       148:{2,4,6,7}:{(101,1),(102,1),(103,1),(112,1),(197,1),(199,1)}
       149:{2,5,6}:{(102,1),(104,1),(198,1),(199,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(199,1),(201,1),(292,1)}
       151:{1,4,5,6}:{(104,1),(116,1),(200,1),(201,1),(366,1)}
       152:{1,2,5,7}:{(105,1),(109,1),(125,1),(193,1),(202,1),(269,1)}
       153:{1,2,6}:{(106,1),(110,1)}
       154:{1,2,5,7}:{(107,1),(111,1),(195,1),(203,1),(365,1)}
       155:{1,2,4,7}:{(108,1),(196,1),(205,1),(358,1),(414,1)}
       156:{1,3,6,7}:{(109,1),(110,1),(112,1),(197,1),(202,1)}
       157:{1,3,5,6}:{(110,1),(111,1),(113,1),(198,1),(203,1),(207,1),(294,1)}
       158:{1,4,5,7}:{(111,1),(114,1),(207,1),(285,1),(358,1)}
       159:{2,3,5,6,7}:{(112,1),(113,1),(115,1),(199,1),(206,1),(209,1),(220,1),(292,1),(300,1),(307,1),(347,1),(350,1),(365,1),(367,1),(405,1)}
       160:{2,4,6}:{(113,1),(114,1),(116,1),(207,1),(210,1)}
       161:{3,4,5,7}:{(114,1),(210,1),(292,1),(302,1),(352,1),(372,1),(407,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(209,1),(358,1)}
       163:{2,3,6}:{(117,1),(119,1),(190,1),(211,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(120,1),(191,1),(211,1),(212,1),(213,1),(423,1),(448,1)}
       165:{2,3,4,6}:{(118,1),(192,1),(212,1),(213,1),(301,1)}
       166:{2,4,7}:{(119,1),(121,1),(125,1),(211,1)}
       167:{2,4,6}:{(120,1),(122,1),(212,1),(215,1)}
       168:{1,3,4,6,7}:{(121,1),(122,1),(123,1),(126,1),(197,1),(214,1),(216,1),(221,1),(283,1),(307,1),(358,1),(371,1),(372,1),(378,1),(421,1)}
       169:{1,3,5,6}:{(122,1),(124,1),(198,1),(215,1),(216,1),(217,1),(304,1),(366,1)}
       170:{2,3,5,7}:{(123,1),(124,1),(199,1),(216,1),(218,1),(292,1),(365,1)}
       171:{2,4,5,6}:{(124,1),(217,1),(218,1),(219,1),(351,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(216,1),(220,1),(221,1),(307,1),(309,1),(378,1)}
       174:{2,4,6,7}:{(127,1),(218,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(290,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(307,1)}
       177:{1,3,5,6}:{(130,1),(133,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(135,1),(138,1),(225,1),(226,1),(384,1)}
       179:{2,3,5}:{(131,1),(132,1),(140,1),(227,1)}
       180:{2,3,4,7}:{(131,1),(141,1),(228,1),(229,1),(381,1),(452,1)}
       181:{2,4,6}:{(132,1),(133,1),(224,1),(227,1),(230,1)}
       182:{2,4,5,7}:{(132,1),(134,1),(228,1),(230,1),(231,1),(315,1),(316,1),(381,1),(429,1),(450,1)}
       183:{1,3,4,7}:{(133,1),(135,1),(146,1),(225,1),(230,1),(239,1)}
       184:{1,3,4,6}:{(134,1),(136,1),(147,1),(231,1),(233,1),(240,1),(324,1),(337,1),(382,1)}
       185:{2,3,4,6,7}:{(135,1),(136,1),(148,1),(226,1),(232,1),(234,1),(257,1),(258,1),(312,1),(336,1),(338,1),(425,1),(427,1)}
       186:{2,3,5,6}:{(136,1),(149,1),(233,1),(234,1),(235,1),(249,1),(331,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(146,1),(225,1),(236,1),(246,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(310,1)}
       189:{1,3,5,6,7}:{(139,1),(150,1),(237,1),(238,1),(322,1)}
       190:{1,3,6}:{(140,1),(142,1),(163,1),(227,1),(239,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(143,1),(164,1),(228,1),(239,1),(240,1),(241,1),(434,1),(453,1)}
       192:{1,3,4,6}:{(141,1),(144,1),(165,1),(229,1),(240,1),(241,1),(324,1)}
       193:{1,2,4,7}:{(142,1),(146,1),(152,1),(166,1),(230,1),(239,1)}
       194:{1,2,4,6}:{(143,1),(147,1),(153,1),(167,1),(231,1),(240,1),(243,1),(324,1),(337,1),(398,1)}
       195:{1,2,5}:{(144,1),(241,1)}
       196:{1,2,4,6}:{(145,1),(155,1),(244,1),(245,1),(324,1),(390,1),(436,1)}
       197:{1,4,6,7}:{(146,1),(147,1),(148,1),(156,1),(246,1)}
       198:{1,5,6}:{(147,1),(149,1),(246,1)}
       199:{2,5,7}:{(148,1),(149,1),(150,1),(246,1)}
       200:{2,4,5,6}:{(149,1),(151,1),(160,1),(247,1),(248,1),(249,1),(331,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(248,1),(396,1)}
       202:{1,2,6,7}:{(152,1),(153,1),(156,1),(172,1),(310,1)}
       203:{1,2,5,6}:{(153,1),(154,1),(157,1),(251,1),(331,1)}
       204:{1,2,4,5,7}:{(154,1),(155,1),(158,1),(244,1),(251,1),(252,1),(256,1)}
       205:{1,3,4,7}:{(155,1),(245,1),(252,1),(253,1),(453,1)}
       206:{1,3,5,6,7}:{(156,1),(157,1),(159,1),(246,1),(250,1),(254,1),(323,1),(330,1),(332,1)}
       207:{1,4,6}:{(157,1),(158,1),(160,1)}
       208:{1,3,4,5,7}:{(158,1),(161,1),(252,1),(255,1),(256,1),(325,1),(330,1),(389,1)}
       209:{2,4,6,7}:{(159,1),(160,1),(162,1),(248,1),(254,1),(257,1),(338,1),(381,1)}
       210:{3,4,6}:{(160,1),(161,1),(249,1)}
       211:{2,3,7}:{(163,1),(166,1),(239,1)}
       212:{2,3,6}:{(164,1),(167,1),(240,1)}
       213:{2,3,5}:{(165,1),(241,1),(260,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(168,1),(172,1),(258,1),(261,1),(338,1),(404,1),(437,1)}
       215:{2,5,6}:{(167,1),(169,1),(261,1)}
       216:{1,3,5,7}:{(168,1),(169,1),(170,1),(246,1),(261,1),(263,1),(341,1),(396,1)}
       217:{1,4,5,6}:{(169,1),(171,1),(262,1),(263,1),(324,1)}
       218:{2,4,5,7}:{(170,1),(171,1),(174,1),(263,1),(265,1),(381,1)}
       219:{3,4,5,6}:{(171,1),(249,1),(265,1),(382,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(261,1),(266,1),(404,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(263,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(330,1)}
       224:{2,5,6}:{(177,1),(181,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(183,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(405,1)}
       227:{2,3,6}:{(179,1),(181,1),(190,1),(272,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,4,6}:{(180,1),(192,1),(273,1),(274,1),(351,1)}
       230:{2,4,7}:{(181,1),(183,1),(269,1),(272,1)}
       231:{2,4,6}:{(182,1),(184,1),(273,1),(276,1)}
       232:{1,3,4,6,7}:{(183,1),(184,1),(185,1),(197,1),(270,1),(275,1),(277,1),(283,1),(348,1),(358,1),(371,1),(405,1),(407,1),(440,1),(441,1)}
       233:{1,3,5,6}:{(184,1),(186,1),(198,1),(276,1),(277,1),(278,1),(354,1),(366,1)}
       234:{2,3,5,7}:{(185,1),(186,1),(199,1),(277,1),(279,1),(292,1),(365,1)}
       235:{2,4,5,6}:{(186,1),(278,1),(279,1),(280,1),(301,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(199,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(348,1),(413,1)}
       239:{1,3,7}:{(190,1),(193,1),(211,1),(272,1)}
       240:{1,3,6}:{(191,1),(194,1),(212,1),(273,1)}
       241:{1,3,5}:{(192,1),(195,1),(213,1),(274,1),(285,1)}
       242:{1,2,4,6,7}:{(193,1),(194,1),(197,1),(202,1),(214,1),(275,1),(283,1),(286,1),(358,1),(371,1),(420,1),(445,1)}
       243:{1,2,5,6}:{(194,1),(195,1),(198,1),(215,1),(276,1),(284,1),(286,1),(366,1)}
       244:{1,2,4,5}:{(195,1),(196,1),(285,1),(288,1),(360,1)}
       245:{1,3,4,6}:{(196,1),(205,1),(288,1),(289,1),(294,1),(446,1),(447,1)}
       246:{1,5,7}:{(197,1),(198,1),(199,1)}
       247:{1,4,5,6}:{(198,1),(200,1),(207,1),(290,1),(291,1)}
       248:{2,4,5,7}:{(199,1),(200,1),(201,1),(209,1),(290,1),(292,1),(365,1)}
       249:{3,5,6}:{(200,1),(210,1),(292,1)}
       250:{1,2,5,6,7}:{(202,1),(203,1),(206,1),(220,1),(286,1),(293,1),(309,1),(347,1),(365,1),(413,1)}
       251:{1,2,4,6}:{(203,1),(204,1),(207,1),(294,1),(298,1)}
       252:{1,3,5,7}:{(204,1),(205,1),(288,1),(294,1),(295,1)}
       253:{2,3,4,7}:{(205,1),(289,1),(295,1),(296,1),(414,1),(448,1),(454,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(209,1),(290,1),(358,1)}
       255:{1,3,4,6}:{(207,1),(208,1),(210,1),(291,1),(294,1),(298,1)}
       256:{2,4,5,7}:{(208,1),(295,1),(298,1),(299,1),(360,1),(365,1),(414,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(307,1),(372,1),(405,1),(407,1)}
       258:{2,3,6,7}:{(211,1),(212,1),(214,1),(283,1),(300,1),(307,1),(448,1)}
       259:{2,3,5,6}:{(212,1),(213,1),(215,1),(284,1),(300,1),(301,1),(304,1)}
       260:{2,4,5}:{(213,1),(285,1),(301,1),(302,1)}
       261:{2,5,7}:{(214,1),(215,1),(216,1)}
       262:{2,4,5,6}:{(215,1),(217,1),(301,1),(303,1),(304,1)}
       263:{1,4,5,7}:{(216,1),(217,1),(218,1),(221,1),(303,1),(358,1)}
       264:{1,3,4,5,6}:{(217,1),(219,1),(291,1),(304,1),(305,1),(306,1),(359,1),(376,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(407,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(303,1),(307,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(305,1),(307,1),(308,1),(378,1)}
       268:{2,5,6,7}:{(223,1),(308,1),(309,1),(365,1)}
       269:{2,5,7}:{(224,1),(225,1),(230,1),(310,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(310,1)}
       271:{2,3,5,6,7}:{(226,1),(234,1),(237,1),(311,1),(312,1),(322,1),(388,1),(425,1)}
       272:{2,3,7}:{(227,1),(230,1),(239,1)}
       273:{2,3,6}:{(228,1),(231,1),(240,1)}
       274:{2,3,5}:{(229,1),(241,1),(315,1)}
       275:{2,4,6,7}:{(230,1),(231,1),(232,1),(310,1),(313,1),(316,1),(381,1),(449,1),(450,1)}
       276:{2,5,6}:{(231,1),(233,1),(316,1)}
       277:{1,3,5,7}:{(232,1),(233,1),(234,1),(246,1),(316,1),(318,1),(384,1),(396,1)}
       278:{1,4,5,6}:{(233,1),(235,1),(317,1),(318,1),(324,1)}
       279:{2,4,5,7}:{(234,1),(235,1),(312,1),(318,1),(320,1),(338,1)}
       280:{3,4,5,6}:{(235,1),(249,1),(320,1),(339,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(246,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(248,1),(312,1),(321,1),(322,1),(379,1),(388,1)}
       283:{1,3,6,7}:{(239,1),(240,1),(242,1),(258,1),(313,1),(323,1),(453,1)}
       284:{1,3,5,6}:{(240,1),(241,1),(243,1),(259,1),(314,1),(323,1),(324,1)}
       285:{1,4,5}:{(241,1),(260,1),(315,1),(324,1)}
       286:{1,2,5,7}:{(242,1),(243,1),(246,1),(261,1),(316,1),(323,1),(396,1)}
       287:{1,2,4,5,6}:{(243,1),(244,1),(247,1),(251,1),(262,1),(317,1),(324,1),(326,1),(327,1),(331,1),(344,1),(387,1),(390,1),(403,1),(431,1),(433,1)}
       288:{1,3,5}:{(244,1),(245,1),(328,1)}
       289:{2,3,4,6}:{(245,1),(253,1),(328,1),(329,1),(333,1),(390,1),(438,1),(439,1),(451,1),(452,1)}
       290:{1,4,5,7}:{(246,1),(247,1),(248,1),(254,1),(330,1)}
       291:{1,3,5,6}:{(247,1),(249,1),(255,1),(330,1),(331,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,4,6,7}:{(250,1),(251,1),(254,1),(266,1),(326,1),(332,1),(336,1),(346,1),(379,1),(404,1),(426,1),(449,1)}
       294:{1,3,6}:{(251,1),(252,1),(333,1)}
       295:{2,3,5,7}:{(252,1),(253,1),(256,1),(328,1),(333,1),(334,1)}
       296:{1,3,4,7}:{(253,1),(329,1),(334,1),(335,1),(432,1),(453,1)}
       297:{1,3,4,6,7}:{(254,1),(255,1),(257,1),(330,1),(332,1),(336,1),(389,1)}
       298:{2,4,6}:{(255,1),(256,1),(331,1),(333,1),(337,1)}
       299:{1,4,5,7}:{(256,1),(334,1),(337,1),(391,1),(396,1),(432,1)}
       300:{2,3,5,7}:{(258,1),(259,1),(261,1),(323,1),(338,1),(341,1)}
       301:{2,4,6}:{(259,1),(260,1),(324,1),(338,1),(339,1)}
       302:{3,4,5}:{(260,1),(339,1)}
       303:{2,4,5,7}:{(261,1),(262,1),(263,1),(266,1),(338,1),(341,1)}
       304:{3,5,6}:{(262,1),(339,1),(341,1)}
       305:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(330,1),(341,1),(343,1),(389,1),(402,1)}
       306:{2,4,5,6}:{(264,1),(331,1),(342,1),(343,1),(344,1),(390,1),(403,1)}
       307:{3,6,7}:{(266,1),(341,1)}
       308:{2,4,6,7}:{(267,1),(268,1),(343,1),(345,1),(346,1),(404,1)}
       309:{1,5,6,7}:{(268,1),(346,1),(396,1)}
       310:{2,6,7}:{(269,1),(270,1)}
       311:{1,3,5,6,7}:{(270,1),(271,1),(277,1),(281,1),(347,1),(348,1),(405,1),(413,1),(440,1)}
       312:{2,4,6,7}:{(271,1),(279,1),(348,1),(349,1)}
       313:{2,3,6,7}:{(272,1),(273,1),(275,1),(283,1),(350,1),(405,1),(454,1)}
       314:{2,3,5,6}:{(273,1),(274,1),(276,1),(284,1),(350,1),(351,1),(354,1)}
       315:{2,4,5}:{(274,1),(285,1),(351,1),(352,1)}
       316:{2,5,7}:{(275,1),(276,1),(277,1)}
       317:{2,4,5,6}:{(276,1),(278,1),(351,1),(353,1),(354,1)}
       318:{1,4,5,7}:{(277,1),(278,1),(279,1),(348,1),(353,1),(358,1)}
       319:{1,3,4,5,6}:{(278,1),(280,1),(291,1),(354,1),(355,1),(356,1),(359,1),(411,1)}
       320:{3,4,5,7}:{(279,1),(280,1),(292,1),(349,1),(372,1)}
       321:{1,4,5,6,7}:{(281,1),(282,1),(290,1),(348,1),(357,1)}
       322:{3,5,6,7}:{(282,1),(292,1),(349,1),(405,1)}
       323:{1,3,5,7}:{(283,1),(284,1),(286,1),(300,1),(350,1),(358,1)}
       324:{1,4,6}:{(284,1),(285,1),(301,1),(351,1),(358,1)}
       325:{1,3,4,5}:{(285,1),(288,1),(302,1),(352,1),(359,1),(360,1)}
       326:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(293,1),(303,1),(353,1),(358,1),(361,1),(365,1),(377,1),(412,1),(414,1),(424,1),(444,1),(445,1)}
       327:{1,3,5,6}:{(287,1),(288,1),(294,1),(304,1),(354,1),(359,1),(361,1),(362,1),(446,1)}
       328:{2,3,5}:{(288,1),(289,1),(360,1),(363,1)}
       329:{1,3,4,6}:{(289,1),(296,1),(363,1),(364,1),(368,1),(415,1),(446,1),(447,1)}
       330:{1,3,5,7}:{(290,1),(291,1),(292,1),(297,1),(365,1)}
       331:{2,5,6}:{(291,1),(298,1),(365,1),(366,1)}
       332:{1,3,6,7}:{(293,1),(294,1),(307,1),(361,1),(367,1),(405,1)}
       333:{2,3,6}:{(294,1),(295,1),(298,1),(368,1)}
       334:{1,3,5,7}:{(295,1),(296,1),(299,1),(363,1),(368,1),(369,1)}
       335:{1,2,4,7}:{(296,1),(364,1),(369,1),(370,1)}
       336:{2,4,6,7}:{(297,1),(298,1),(365,1),(367,1),(371,1),(414,1)}
       337:{1,4,6}:{(298,1),(299,1),(366,1),(368,1)}
       338:{2,4,7}:{(300,1),(301,1),(358,1),(372,1)}
       339:{3,4,6}:{(301,1),(302,1),(304,1),(372,1)}
       340:{2,3,4,5}:{(302,1),(360,1),(373,1),(374,1),(443,1)}
       341:{3,5,7}:{(303,1),(304,1),(307,1),(372,1)}
       342:{2,3,5,6}:{(304,1),(306,1),(373,1),(375,1),(376,1)}
       343:{2,4,5,7}:{(305,1),(306,1),(308,1),(365,1),(375,1),(377,1),(414,1),(424,1)}
       344:{1,4,5,6}:{(306,1),(366,1),(376,1),(377,1),(415,1)}
       345:{2,3,6,7}:{(307,1),(308,1),(375,1),(378,1)}
       346:{1,4,6,7}:{(308,1),(309,1),(377,1),(378,1)}
       347:{2,5,6,7}:{(310,1),(311,1),(316,1),(379,1),(449,1)}
       348:{1,4,6,7}:{(311,1),(312,1),(318,1),(379,1)}
       349:{3,4,6,7}:{(312,1),(320,1),(322,1)}
       350:{2,3,5,7}:{(313,1),(314,1),(316,1),(323,1),(381,1),(384,1)}
       351:{2,4,6}:{(314,1),(315,1),(324,1),(381,1),(382,1)}
       352:{3,4,5}:{(315,1),(382,1)}
       353:{2,4,5,7}:{(316,1),(317,1),(318,1),(379,1),(381,1),(384,1)}
       354:{3,5,6}:{(317,1),(382,1),(384,1)}
       355:{1,3,4,5,7}:{(318,1),(319,1),(320,1),(330,1),(380,1),(384,1),(386,1),(389,1),(430,1)}
       356:{2,4,5,6}:{(319,1),(331,1),(385,1),(386,1),(387,1),(390,1),(431,1)}
       357:{1,3,5,6,7}:{(321,1),(322,1),(330,1),(380,1),(388,1)}
       358:{1,4,7}:{(323,1),(324,1),(338,1),(381,1)}
       359:{1,3,4,6}:{(324,1),(325,1),(327,1),(339,1),(382,1),(389,1),(390,1)}
       360:{2,4,5}:{(325,1),(328,1),(390,1),(391,1)}
       361:{1,3,5,7}:{(326,1),(327,1),(332,1),(341,1),(384,1),(389,1),(392,1),(453,1)}
       362:{2,3,5,6}:{(327,1),(328,1),(331,1),(333,1),(390,1),(392,1),(393,1),(403,1),(431,1),(438,1),(451,1)}
       363:{1,3,5}:{(328,1),(329,1),(391,1),(394,1)}
       364:{1,2,4,6}:{(329,1),(335,1),(394,1),(395,1),(398,1),(436,1)}
       365:{2,5,7}:{(330,1),(331,1),(336,1),(396,1)}
       366:{1,5,6}:{(331,1),(337,1),(396,1)}
       367:{2,3,6,7}:{(332,1),(333,1),(336,1),(392,1),(397,1),(404,1),(449,1)}
       368:{1,3,6}:{(333,1),(334,1),(337,1),(398,1)}
       369:{1,2,5,7}:{(334,1),(335,1),(394,1),(398,1)}
       370:{1,2,3,7}:{(335,1),(395,1),(453,1)}
       371:{1,4,6,7}:{(336,1),(337,1),(396,1),(397,1),(432,1)}
       372:{3,4,7}:{(338,1),(339,1),(341,1)}
       373:{2,3,4,6}:{(339,1),(340,1),(342,1),(390,1),(399,1),(400,1),(451,1)}
       374:{1,3,4,5}:{(340,1),(391,1),(400,1),(401,1),(434,1)}
       375:{2,3,5,7}:{(341,1),(342,1),(343,1),(345,1),(399,1),(402,1)}
       376:{1,3,5,6}:{(342,1),(344,1),(400,1),(402,1),(403,1)}
       377:{1,4,5,7}:{(343,1),(344,1),(346,1),(396,1),(402,1),(432,1)}
       378:{1,3,6,7}:{(345,1),(346,1),(402,1),(404,1)}
       379:{2,4,6,7}:{(347,1),(348,1),(353,1),(405,1)}
       380:{1,3,4,6,7}:{(348,1),(349,1),(355,1),(357,1),(405,1),(406,1),(440,1)}
       381:{2,4,7}:{(350,1),(351,1),(358,1),(407,1)}
       382:{3,4,6}:{(351,1),(352,1),(354,1),(407,1)}
       383:{2,3,4,5}:{(352,1),(360,1),(408,1),(409,1),(423,1)}
       384:{3,5,7}:{(353,1),(354,1),(405,1),(407,1)}
       385:{2,3,5,6}:{(354,1),(356,1),(408,1),(410,1),(411,1)}
       386:{2,4,5,7}:{(355,1),(356,1),(365,1),(406,1),(410,1),(412,1),(414,1),(444,1)}
       387:{1,4,5,6}:{(356,1),(366,1),(411,1),(412,1),(415,1)}
       388:{2,5,6,7}:{(357,1),(365,1),(406,1),(413,1)}
       389:{1,3,4,7}:{(358,1),(359,1),(361,1),(372,1),(407,1),(414,1)}
       390:{2,4,6}:{(359,1),(360,1),(362,1),(414,1),(415,1)}
       391:{1,4,5}:{(360,1),(363,1),(415,1)}
       392:{2,3,5,7}:{(361,1),(362,1),(365,1),(367,1),(414,1),(417,1),(424,1),(444,1),(448,1),(454,1)}
       393:{1,3,5,6}:{(362,1),(363,1),(366,1),(368,1),(415,1),(417,1),(418,1),(446,1)}
       394:{1,2,5}:{(363,1),(364,1)}
       395:{1,2,3,6}:{(364,1),(370,1),(419,1),(446,1)}
       396:{1,5,7}:{(365,1),(366,1),(371,1)}
       397:{1,3,6,7}:{(367,1),(368,1),(371,1),(417,1),(420,1)}
       398:{1,2,6}:{(368,1),(369,1)}
       399:{2,3,4,7}:{(372,1),(373,1),(375,1),(414,1),(421,1),(454,1)}
       400:{1,3,4,6}:{(373,1),(374,1),(376,1),(415,1),(421,1),(422,1),(446,1)}
       401:{2,4,5}:{(374,1),(422,1),(423,1)}
       402:{1,3,5,7}:{(375,1),(376,1),(377,1),(378,1),(421,1),(424,1)}
       403:{2,5,6}:{(376,1),(422,1),(424,1)}
       404:{2,6,7}:{(378,1),(424,1)}
       405:{3,6,7}:{(379,1),(384,1)}
       406:{2,4,6,7}:{(380,1),(386,1),(388,1),(425,1),(426,1),(449,1)}
       407:{3,4,7}:{(381,1),(382,1),(384,1)}
       408:{2,3,4,6}:{(382,1),(383,1),(385,1),(390,1),(427,1),(428,1),(438,1)}
       409:{1,3,4,5}:{(383,1),(391,1),(428,1),(429,1),(434,1)}
       410:{2,3,5,7}:{(384,1),(385,1),(386,1),(425,1),(427,1),(430,1)}
       411:{1,3,5,6}:{(385,1),(387,1),(428,1),(430,1),(431,1)}
       412:{1,4,5,7}:{(386,1),(387,1),(396,1),(426,1),(430,1),(432,1)}
       413:{1,5,6,7}:{(388,1),(396,1),(426,1)}
       414:{2,4,7}:{(389,1),(390,1),(392,1),(432,1)}
       415:{1,4,6}:{(390,1),(391,1),(393,1),(432,1)}
       416:{1,2,4,5}:{(391,1),(394,1),(401,1),(429,1),(433,1),(434,1),(436,1)}
       417:{1,3,5,7}:{(392,1),(393,1),(396,1),(397,1),(432,1),(435,1),(453,1)}
       418:{1,2,5,6}:{(393,1),(394,1),(398,1),(403,1),(431,1),(433,1),(435,1)}
       419:{1,2,3,5}:{(394,1),(395,1),(434,1),(436,1)}
       420:{1,2,6,7}:{(397,1),(398,1),(404,1),(435,1),(449,1)}
       421:{1,3,4,7}:{(399,1),(400,1),(402,1),(432,1),(437,1),(453,1)}
       422:{2,4,6}:{(400,1),(401,1),(403,1),(437,1),(438,1)}
       423:{2,3,5}:{(401,1),(434,1),(438,1),(439,1)}
       424:{2,5,7}:{(402,1),(403,1),(404,1),(437,1)}
       425:{2,3,6,7}:{(405,1),(406,1),(410,1),(440,1)}
       426:{1,4,6,7}:{(406,1),(412,1),(413,1),(440,1)}
       427:{2,3,4,7}:{(407,1),(408,1),(410,1),(414,1),(441,1),(448,1)}
       428:{1,3,4,6}:{(408,1),(409,1),(411,1),(415,1),(441,1),(442,1),(446,1)}
       429:{2,4,5}:{(409,1),(442,1),(443,1)}
       430:{1,3,5,7}:{(410,1),(411,1),(412,1),(440,1),(441,1),(444,1)}
       431:{2,5,6}:{(411,1),(442,1),(444,1)}
       432:{1,4,7}:{(414,1),(415,1),(417,1)}
       433:{1,2,4,6}:{(415,1),(416,1),(418,1),(422,1),(442,1),(445,1),(446,1)}
       434:{1,3,5}:{(416,1),(423,1),(443,1),(446,1),(447,1)}
       435:{1,2,5,7}:{(417,1),(418,1),(420,1),(424,1),(444,1),(445,1)}
       436:{1,2,4}:{(419,1),(447,1)}
       437:{2,4,7}:{(421,1),(422,1),(424,1),(448,1)}
       438:{2,3,6}:{(422,1),(423,1),(446,1),(448,1)}
       439:{2,3,4}:{(423,1),(447,1)}
       440:{1,3,6,7}:{(425,1),(426,1),(430,1),(449,1)}
       441:{1,3,4,7}:{(427,1),(428,1),(430,1),(432,1),(450,1),(453,1)}
       442:{2,4,6}:{(428,1),(429,1),(431,1),(450,1),(451,1)}
       443:{2,3,5}:{(429,1),(434,1),(451,1),(452,1)}
       444:{2,5,7}:{(430,1),(431,1),(449,1),(450,1)}
       445:{1,2,4,7}:{(432,1),(433,1),(435,1),(437,1),(450,1),(453,1)}
       446:{1,3,6}:{(433,1),(434,1),(438,1),(451,1),(453,1)}
       447:{1,3,4}:{(434,1),(436,1),(439,1),(452,1)}
       448:{2,3,7}:{(437,1),(438,1),(453,1)}
       449:{2,6,7}:{(440,1),(444,1)}
       450:{2,4,7}:{(441,1),(442,1),(444,1),(454,1)}
       451:{2,3,6}:{(442,1),(443,1),(446,1),(454,1)}
       452:{2,3,4}:{(443,1),(447,1)}
       453:{1,3,7}:{(445,1),(446,1),(448,1),(454,1)}
       454:{2,3,7}:{(450,1),(451,1),(453,1)}

2376 :   0:{1,3,4,5,6}:{(1,1),(2,1),(11,1),(43,1),(87,1),(88,1),(152,1),(163,1)}
         1:{2,4,5,6}:{(0,1),(4,1),(5,1),(6,1),(22,1),(62,1),(191,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(68,1),(115,1),(116,1),(131,1),(181,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(73,1),(92,1),(214,1)}
         4:{2,3,5,6}:{(1,1),(8,1),(11,1),(12,1),(152,1)}
         5:{1,4,5,6}:{(1,1),(11,1),(14,1),(89,1),(217,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(40,1),(93,1),(159,1)}
         7:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(41,1),(96,1),(97,1),(161,1)}
         8:{2,3,4,6}:{(3,1),(4,1),(17,1),(18,1),(62,1),(102,1),(184,1)}
         9:{1,3,4,5}:{(3,1),(17,1),(19,1),(49,1),(121,1)}
        10:{2,3,4,5,7}:{(3,1),(18,1),(20,1),(21,1),(54,1),(104,1),(125,1),(226,1),(227,1),(237,1),(238,1),(240,1),(271,1),(276,1)}
        11:{1,3,5,6}:{(4,1),(5,1),(17,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(18,1),(23,1),(24,1),(181,1)}
        13:{1,2,4,5,6}:{(5,1),(22,1),(25,1),(26,1),(48,1),(62,1),(110,1),(119,1),(121,1),(166,1),(176,1),(187,1),(191,1),(196,1),(224,1),(227,1),(270,1)}
        14:{1,4,5,7}:{(5,1),(6,1),(23,1),(27,1),(122,1),(188,1)}
        15:{2,4,6,7}:{(6,1),(7,1),(24,1),(27,1),(28,1),(64,1)}
        16:{1,3,5,6,7}:{(7,1),(28,1),(29,1),(72,1),(131,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(11,1),(31,1),(32,1),(74,1),(89,1)}
        18:{2,3,4,7}:{(8,1),(12,1),(32,1),(93,1),(135,1),(211,1)}
        19:{2,4,5}:{(9,1),(31,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(32,1),(35,1),(36,1),(77,1),(82,1),(154,1),(204,1),(206,1),(211,1),(214,1),(262,1),(264,1),(292,1)}
        21:{2,3,4,6}:{(10,1),(36,1),(37,1),(137,1),(158,1),(201,1),(261,1),(286,1),(291,1)}
        22:{2,5,6}:{(11,1),(31,1),(40,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(14,1),(32,1),(40,1),(41,1)}
        24:{2,3,6,7}:{(12,1),(15,1),(41,1),(161,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(43,1),(44,1),(74,1),(138,1),(152,1),(202,1),(252,1),(286,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(40,1),(44,1),(45,1),(75,1),(93,1),(141,1),(148,1),(154,1),(159,1),(164,1),(197,1),(204,1),(250,1)}
        27:{1,4,6,7}:{(14,1),(15,1),(41,1),(46,1)}
        28:{2,5,6,7}:{(15,1),(16,1),(46,1),(159,1)}
        29:{1,4,5,6,7}:{(16,1),(47,1),(96,1),(164,1),(165,1)}
        30:{1,2,4,5}:{(19,1),(48,1),(49,1),(103,1),(121,1),(166,1)}
        31:{2,4,6}:{(17,1),(19,1),(22,1),(51,1),(52,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(23,1),(52,1),(106,1),(122,1)}
        33:{2,3,4,6,7}:{(18,1),(21,1),(24,1),(53,1),(54,1),(66,1),(126,1),(168,1),(193,1),(194,1),(226,1),(238,1),(245,1)}
        34:{2,3,5}:{(19,1),(49,1),(51,1),(55,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(52,1),(56,1),(57,1),(114,1),(180,1),(183,1),(281,1),(282,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(57,1),(58,1),(109,1),(176,1),(184,1),(187,1),(304,1)}
        37:{2,3,5,6}:{(21,1),(54,1),(58,1),(59,1),(191,1),(247,1),(284,1)}
        38:{1,2,5,6}:{(22,1),(48,1),(60,1),(61,1),(166,1),(224,1)}
        39:{2,3,5,6}:{(22,1),(25,1),(51,1),(60,1),(62,1),(63,1),(102,1),(111,1),(166,1),(178,1),(191,1),(224,1)}
        40:{2,5,7}:{(22,1),(23,1),(52,1),(64,1)}
        41:{1,3,6,7}:{(23,1),(24,1),(27,1),(64,1)}
        42:{2,3,5,6,7}:{(24,1),(28,1),(54,1),(65,1),(66,1),(72,1),(133,1),(194,1)}
        43:{1,3,4,6}:{(25,1),(62,1),(67,1),(68,1),(176,1),(184,1),(228,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1),(69,1),(106,1),(181,1),(271,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(64,1),(69,1),(70,1),(126,1),(128,1),(132,1),(187,1),(224,1),(270,1)}
        46:{1,5,6,7}:{(27,1),(28,1),(188,1)}
        47:{2,4,5,6,7}:{(28,1),(29,1),(66,1),(71,1),(72,1),(128,1),(133,1),(192,1)}
        48:{1,2,4,6}:{(30,1),(31,1),(38,1),(74,1),(75,1),(89,1),(134,1)}
        49:{1,3,5}:{(30,1),(34,1),(73,1),(74,1),(76,1)}
        50:{1,2,4,5,7}:{(30,1),(35,1),(75,1),(77,1),(78,1),(136,1),(141,1),(154,1),(197,1),(200,1),(204,1),(206,1),(250,1),(292,1),(293,1),(294,1),(309,1)}
        51:{2,3,6}:{(31,1),(34,1),(74,1),(80,1)}
        52:{2,4,7}:{(31,1),(32,1),(40,1),(80,1)}
        53:{1,3,4,6,7}:{(32,1),(33,1),(36,1),(41,1),(81,1),(82,1),(96,1),(140,1),(155,1),(161,1),(204,1),(211,1),(223,1),(262,1),(268,1)}
        54:{2,3,5,7}:{(33,1),(37,1),(82,1),(83,1),(159,1),(222,1),(267,1)}
        55:{2,3,4}:{(34,1),(76,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(77,1),(80,1),(84,1),(85,1),(150,1),(296,1),(297,1)}
        57:{2,4,6}:{(35,1),(36,1),(85,1),(86,1)}
        58:{1,3,5,6}:{(36,1),(37,1),(82,1),(86,1),(87,1),(152,1),(217,1),(298,1)}
        59:{2,4,5,6}:{(37,1),(83,1),(87,1),(88,1),(201,1)}
        60:{1,3,5,6}:{(38,1),(39,1),(74,1),(89,1),(90,1),(138,1),(202,1),(217,1)}
        61:{1,2,5,7}:{(38,1),(40,1),(75,1),(90,1),(91,1),(197,1)}
        62:{2,4,6}:{(39,1),(43,1),(89,1),(92,1),(93,1)}
        63:{2,3,5,7}:{(39,1),(40,1),(44,1),(80,1),(90,1),(93,1),(94,1),(135,1),(159,1),(197,1)}
        64:{2,6,7}:{(40,1),(41,1)}
        65:{1,3,5,6,7}:{(41,1),(42,1),(46,1),(82,1),(95,1),(96,1),(161,1),(165,1),(223,1)}
        66:{2,4,6,7}:{(42,1),(83,1),(96,1),(97,1)}
        67:{1,3,4,5}:{(43,1),(92,1),(138,1),(206,1),(214,1),(252,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1),(204,1),(211,1),(251,1)}
        69:{1,3,6,7}:{(44,1),(45,1),(94,1),(161,1),(202,1),(286,1)}
        70:{1,2,5,6,7}:{(45,1),(46,1),(95,1),(100,1),(141,1),(159,1),(217,1),(249,1),(269,1)}
        71:{1,4,5,6,7}:{(46,1),(47,1),(96,1),(101,1),(218,1)}
        72:{3,5,6,7}:{(47,1),(97,1),(161,1),(222,1)}
        73:{2,3,5}:{(49,1),(102,1),(103,1),(166,1)}
        74:{1,3,6}:{(48,1),(49,1),(51,1),(102,1),(106,1)}
        75:{1,2,4,7}:{(48,1),(52,1),(61,1),(106,1),(122,1),(167,1)}
        76:{1,3,4}:{(49,1),(55,1),(103,1)}
        77:{1,3,5,7}:{(49,1),(50,1),(56,1),(104,1),(106,1),(108,1),(109,1),(175,1),(271,1),(305,1),(306,1)}
        78:{1,2,4,6}:{(50,1),(57,1),(109,1),(110,1),(169,1),(176,1),(187,1),(224,1),(270,1),(304,1),(313,1)}
        79:{2,3,4,6}:{(51,1),(55,1),(62,1),(105,1),(111,1),(112,1),(178,1),(228,1)}
        80:{2,3,7}:{(51,1),(52,1),(106,1)}
        81:{2,4,6,7}:{(52,1),(53,1),(57,1),(64,1),(113,1),(114,1),(180,1),(248,1),(281,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(181,1),(188,1),(285,1)}
        83:{2,4,5,7}:{(54,1),(59,1),(66,1),(115,1),(116,1),(226,1)}
        84:{2,3,4,7}:{(55,1),(56,1),(108,1),(117,1),(180,1),(307,1)}
        85:{2,3,6}:{(56,1),(57,1),(109,1)}
        86:{2,5,6}:{(57,1),(58,1),(114,1)}
        87:{1,4,5,6}:{(58,1),(59,1),(115,1),(119,1),(176,1)}
        88:{3,4,5,6}:{(59,1),(116,1),(228,1),(247,1)}
        89:{1,4,6}:{(60,1),(62,1),(121,1),(122,1)}
        90:{1,3,5,7}:{(60,1),(61,1),(63,1),(106,1),(122,1),(123,1),(188,1)}
        91:{1,2,6,7}:{(61,1),(64,1),(123,1),(224,1)}
        92:{2,4,5}:{(62,1),(67,1),(111,1),(121,1),(166,1)}
        93:{2,4,7}:{(62,1),(63,1),(68,1),(122,1)}
        94:{2,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(126,1),(178,1),(224,1)}
        95:{2,5,6,7}:{(64,1),(65,1),(114,1),(128,1),(248,1)}
        96:{1,4,6,7}:{(65,1),(66,1),(115,1),(128,1)}
        97:{3,4,6,7}:{(66,1),(72,1),(116,1)}
        98:{1,3,4,5,7}:{(67,1),(68,1),(125,1),(130,1),(131,1),(171,1),(230,1),(237,1),(271,1)}
        99:{1,3,4,6,7}:{(68,1),(69,1),(126,1),(130,1),(131,1),(132,1),(193,1)}
       100:{1,3,5,6,7}:{(69,1),(70,1),(127,1),(131,1),(132,1),(173,1),(229,1),(246,1),(285,1)}
       101:{1,3,5,6,7}:{(71,1),(72,1),(129,1),(133,1),(244,1)}
       102:{2,3,6}:{(73,1),(74,1),(134,1),(135,1)}
       103:{2,4}:{(73,1),(76,1)}
       104:{2,3,5,7}:{(73,1),(77,1),(135,1),(136,1),(137,1),(197,1),(200,1),(309,1),(310,1),(311,1)}
       105:{1,3,4,6}:{(74,1),(76,1),(79,1),(89,1),(134,1),(138,1),(139,1),(202,1)}
       106:{1,3,7}:{(74,1),(75,1),(80,1),(135,1)}
       107:{1,2,4,6,7}:{(75,1),(78,1),(81,1),(91,1),(140,1),(141,1),(155,1),(198,1),(204,1),(268,1),(269,1),(293,1)}
       108:{1,3,4,7}:{(76,1),(77,1),(84,1),(136,1),(142,1),(204,1),(251,1),(312,1)}
       109:{1,3,6}:{(77,1),(78,1),(85,1),(137,1),(286,1)}
       110:{1,2,5,6}:{(78,1),(86,1),(141,1),(143,1),(200,1),(217,1),(249,1),(298,1)}
       111:{2,3,5}:{(79,1),(92,1),(138,1),(252,1)}
       112:{2,3,4,7}:{(79,1),(80,1),(93,1),(139,1),(145,1),(251,1)}
       113:{2,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(147,1),(161,1),(296,1)}
       114:{2,5,7}:{(81,1),(82,1),(86,1)}
       115:{1,4,5,7}:{(82,1),(83,1),(87,1),(96,1),(148,1),(204,1)}
       116:{3,4,5,7}:{(83,1),(88,1),(97,1),(222,1),(251,1)}
       117:{2,3,4,6}:{(84,1),(85,1),(142,1),(150,1),(151,1)}
       118:{2,3,5,6}:{(85,1),(86,1),(143,1),(147,1),(150,1),(151,1),(152,1)}
       119:{2,4,5,6}:{(86,1),(87,1),(148,1),(151,1),(152,1)}
       120:{1,3,4,5,6}:{(87,1),(88,1),(149,1),(152,1),(153,1),(207,1),(216,1),(266,1)}
       121:{1,4,5}:{(89,1),(92,1),(138,1)}
       122:{1,4,7}:{(89,1),(90,1),(93,1)}
       123:{1,3,6,7}:{(90,1),(91,1),(94,1),(155,1),(202,1)}
       124:{1,2,5,6,7}:{(91,1),(95,1),(141,1),(156,1),(157,1),(165,1),(249,1),(267,1),(298,1)}
       125:{2,4,5,7}:{(92,1),(93,1),(98,1),(145,1),(154,1),(158,1),(159,1),(197,1)}
       126:{2,4,6,7}:{(93,1),(94,1),(99,1),(155,1),(158,1),(159,1)}
       127:{2,3,5,6,7}:{(94,1),(95,1),(100,1),(147,1),(156,1),(159,1),(160,1),(161,1),(199,1),(209,1),(220,1),(222,1),(249,1),(267,1),(286,1)}
       128:{2,4,6,7}:{(95,1),(96,1),(148,1),(161,1)}
       129:{1,3,4,6,7}:{(96,1),(97,1),(101,1),(149,1),(161,1),(162,1),(223,1)}
       130:{1,3,4,6}:{(98,1),(158,1),(163,1),(202,1),(254,1),(261,1),(286,1)}
       131:{1,3,5,7}:{(99,1),(159,1),(163,1),(164,1),(222,1)}
       132:{1,4,6,7}:{(100,1),(160,1),(164,1),(204,1),(254,1)}
       133:{2,5,6,7}:{(101,1),(162,1),(165,1),(267,1)}
       134:{2,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(224,1)}
       135:{2,3,7}:{(102,1),(106,1),(167,1)}
       136:{2,4,7}:{(103,1),(104,1),(108,1),(169,1),(314,1)}
       137:{2,3,6}:{(104,1),(109,1),(169,1),(224,1),(313,1)}
       138:{1,3,5}:{(105,1),(111,1),(121,1),(166,1)}
       139:{1,3,4,7}:{(105,1),(106,1),(112,1),(122,1),(167,1),(171,1)}
       140:{1,3,6,7}:{(106,1),(107,1),(109,1),(113,1),(168,1),(173,1),(305,1)}
       141:{1,2,5,7}:{(107,1),(110,1),(114,1),(173,1),(188,1),(225,1),(285,1)}
       142:{1,3,4,6}:{(108,1),(109,1),(117,1),(169,1),(175,1),(176,1),(228,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(118,1),(170,1),(173,1),(175,1),(176,1)}
       144:{1,2,4,5,6}:{(110,1),(119,1),(174,1),(176,1),(177,1),(186,1),(227,1),(234,1),(242,1),(243,1),(270,1),(279,1),(280,1),(284,1),(302,1),(304,1),(313,1)}
       145:{2,3,5,7}:{(111,1),(112,1),(125,1),(171,1),(178,1),(271,1)}
       146:{2,3,4,6,7}:{(112,1),(113,1),(117,1),(126,1),(172,1),(178,1),(179,1),(180,1),(193,1),(236,1),(245,1),(272,1),(299,1)}
       147:{2,3,5,7}:{(113,1),(114,1),(118,1),(173,1),(180,1),(181,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(180,1),(181,1)}
       149:{1,3,4,5,7}:{(115,1),(116,1),(120,1),(129,1),(181,1),(182,1),(231,1),(239,1),(244,1)}
       150:{2,3,5}:{(117,1),(175,1),(183,1)}
       151:{2,4,6}:{(118,1),(176,1),(180,1),(183,1),(184,1)}
       152:{3,5,6}:{(119,1),(181,1),(184,1)}
       153:{2,4,5,6}:{(120,1),(182,1),(185,1),(186,1),(234,1),(242,1),(284,1)}
       154:{1,4,5,7}:{(121,1),(122,1),(125,1),(171,1),(187,1),(188,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(126,1),(187,1),(188,1)}
       156:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(173,1),(188,1),(189,1),(190,1),(229,1),(244,1)}
       157:{1,2,4,6,7}:{(124,1),(128,1),(174,1),(189,1),(190,1),(195,1),(245,1),(248,1),(270,1),(304,1),(313,1)}
       158:{2,4,6}:{(125,1),(130,1),(178,1),(187,1),(191,1),(224,1)}
       159:{2,5,7}:{(126,1),(131,1),(188,1),(191,1)}
       160:{2,4,6,7}:{(127,1),(132,1),(180,1),(189,1),(192,1),(193,1),(226,1),(236,1),(270,1)}
       161:{3,6,7}:{(128,1),(181,1)}
       162:{2,4,6,7}:{(129,1),(133,1),(182,1),(194,1),(195,1),(248,1)}
       163:{1,3,5,6}:{(130,1),(131,1),(191,1),(196,1),(247,1)}
       164:{1,4,5,7}:{(131,1),(132,1),(192,1),(196,1),(285,1)}
       165:{1,5,6,7}:{(133,1),(195,1),(285,1)}
       166:{2,5}:{(134,1),(138,1)}
       167:{2,4,7}:{(134,1),(135,1),(139,1),(197,1)}
       168:{2,3,6,7}:{(135,1),(137,1),(140,1),(198,1),(199,1),(286,1),(310,1)}
       169:{2,4,6}:{(136,1),(137,1),(142,1),(200,1)}
       170:{2,3,5,6}:{(137,1),(143,1),(199,1),(200,1),(201,1),(249,1),(252,1),(286,1)}
       171:{1,3,5,7}:{(138,1),(139,1),(145,1),(154,1),(197,1),(202,1)}
       172:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(146,1),(155,1),(198,1),(202,1),(203,1),(204,1),(251,1),(254,1),(268,1),(286,1),(288,1),(308,1)}
       173:{1,3,5,7}:{(140,1),(141,1),(143,1),(147,1),(199,1),(204,1)}
       174:{1,2,4,5,7}:{(141,1),(144,1),(148,1),(157,1),(204,1),(205,1),(213,1),(218,1),(250,1),(256,1),(263,1),(267,1),(292,1),(293,1),(309,1)}
       175:{1,3,5}:{(142,1),(150,1),(200,1),(206,1),(252,1)}
       176:{1,4,6}:{(143,1),(151,1),(201,1),(204,1),(206,1)}
       177:{1,3,5,6}:{(144,1),(152,1),(205,1),(207,1),(208,1),(252,1),(286,1),(289,1),(295,1),(308,1)}
       178:{2,3,6}:{(145,1),(158,1),(202,1),(286,1)}
       179:{2,3,5,7}:{(146,1),(150,1),(159,1),(203,1),(209,1),(210,1),(222,1),(267,1)}
       180:{2,4,7}:{(147,1),(151,1),(204,1),(211,1)}
       181:{3,5,7}:{(148,1),(152,1),(161,1),(211,1)}
       182:{2,4,5,7}:{(149,1),(153,1),(162,1),(212,1),(213,1),(256,1),(263,1),(267,1)}
       183:{2,4,5}:{(150,1),(151,1),(206,1),(214,1)}
       184:{3,4,6}:{(151,1),(152,1),(211,1),(214,1)}
       185:{2,3,5,6}:{(152,1),(153,1),(212,1),(215,1),(216,1)}
       186:{1,4,5,6}:{(153,1),(213,1),(216,1),(259,1),(298,1)}
       187:{1,4,6}:{(154,1),(158,1),(202,1),(217,1)}
       188:{1,5,7}:{(155,1),(159,1),(217,1)}
       189:{1,4,6,7}:{(156,1),(160,1),(204,1),(218,1),(254,1)}
       190:{1,3,6,7}:{(157,1),(161,1),(205,1),(220,1),(286,1),(308,1)}
       191:{2,5,6}:{(158,1),(159,1),(163,1),(217,1)}
       192:{2,4,5,7}:{(159,1),(160,1),(164,1),(218,1),(221,1),(222,1),(267,1)}
       193:{3,4,6,7}:{(160,1),(161,1),(211,1),(222,1),(251,1),(261,1),(286,1)}
       194:{2,3,6,7}:{(161,1),(162,1),(212,1),(223,1)}
       195:{1,4,6,7}:{(162,1),(165,1),(213,1),(223,1)}
       196:{1,4,5,6}:{(163,1),(164,1),(221,1),(254,1),(298,1)}
       197:{2,5,7}:{(166,1),(167,1),(171,1),(224,1)}
       198:{2,4,6,7}:{(167,1),(168,1),(169,1),(172,1),(224,1),(225,1),(226,1),(270,1),(301,1),(313,1)}
       199:{2,3,5,7}:{(168,1),(170,1),(173,1),(225,1),(226,1),(271,1)}
       200:{2,5}:{(169,1),(175,1)}
       201:{2,4,6}:{(170,1),(176,1),(226,1),(227,1),(228,1)}
       202:{1,3,6}:{(171,1),(178,1),(187,1),(224,1)}
       203:{1,3,5,7}:{(172,1),(175,1),(179,1),(188,1),(225,1),(229,1),(230,1),(271,1),(285,1)}
       204:{1,4,7}:{(173,1),(176,1),(180,1),(226,1)}
       205:{1,3,5,7}:{(174,1),(177,1),(181,1),(190,1),(231,1),(232,1),(271,1),(305,1)}
       206:{1,4,5}:{(175,1),(176,1),(183,1),(227,1)}
       207:{1,3,4,6}:{(176,1),(177,1),(184,1),(228,1),(231,1),(233,1),(234,1)}
       208:{2,3,5,6}:{(177,1),(232,1),(234,1),(235,1),(242,1),(273,1),(283,1),(284,1),(299,1),(302,1),(303,1),(313,1)}
       209:{2,3,5,6}:{(178,1),(179,1),(191,1),(229,1),(236,1),(247,1),(284,1),(299,1)}
       210:{2,4,5,7}:{(179,1),(180,1),(183,1),(230,1),(236,1),(237,1)}
       211:{3,4,7}:{(180,1),(181,1),(184,1)}
       212:{2,3,5,7}:{(181,1),(182,1),(185,1),(194,1),(238,1),(239,1)}
       213:{1,4,5,7}:{(182,1),(186,1),(195,1),(239,1),(277,1),(285,1)}
       214:{3,4,5}:{(183,1),(184,1)}
       215:{2,3,4,6}:{(184,1),(185,1),(234,1),(238,1),(240,1),(241,1),(303,1)}
       216:{1,3,5,6}:{(185,1),(186,1),(239,1),(241,1),(242,1)}
       217:{1,5,6}:{(187,1),(188,1),(191,1)}
       218:{1,4,5,7}:{(188,1),(189,1),(192,1),(243,1),(244,1)}
       219:{1,3,4,6,7}:{(189,1),(190,1),(193,1),(231,1),(244,1),(245,1),(275,1)}
       220:{2,3,6,7}:{(190,1),(232,1),(245,1),(246,1),(248,1),(299,1),(313,1)}
       221:{2,4,5,6}:{(191,1),(192,1),(196,1),(236,1),(243,1),(247,1),(270,1),(284,1)}
       222:{3,5,7}:{(192,1),(193,1),(247,1)}
       223:{1,3,6,7}:{(194,1),(195,1),(239,1),(248,1)}
       224:{2,6}:{(197,1),(202,1)}
       225:{2,5,7}:{(198,1),(200,1),(203,1),(249,1)}
       226:{2,4,7}:{(199,1),(201,1),(204,1),(251,1)}
       227:{2,4,5}:{(200,1),(201,1),(206,1),(252,1)}
       228:{3,4,6}:{(201,1),(251,1),(252,1),(286,1)}
       229:{1,3,5,6}:{(202,1),(203,1),(209,1),(217,1),(249,1),(254,1),(286,1),(298,1),(308,1)}
       230:{1,4,5,7}:{(203,1),(204,1),(206,1),(210,1),(250,1),(254,1)}
       231:{1,3,4,7}:{(204,1),(205,1),(207,1),(211,1),(251,1),(256,1)}
       232:{2,3,5,7}:{(205,1),(208,1),(220,1),(256,1),(257,1),(263,1),(267,1),(296,1),(309,1),(310,1)}
       233:{1,3,4,5}:{(206,1),(207,1),(214,1),(252,1),(258,1),(289,1)}
       234:{2,4,6}:{(207,1),(208,1),(256,1),(258,1),(259,1)}
       235:{1,3,5,6}:{(208,1),(257,1),(259,1),(260,1),(289,1),(295,1),(298,1),(308,1)}
       236:{2,4,6}:{(209,1),(210,1),(254,1),(261,1)}
       237:{3,4,5,7}:{(210,1),(211,1),(214,1),(222,1),(261,1)}
       238:{2,3,4,7}:{(211,1),(212,1),(215,1),(256,1),(262,1),(310,1)}
       239:{1,3,5,7}:{(212,1),(213,1),(216,1),(223,1),(262,1),(263,1)}
       240:{2,3,4,5}:{(214,1),(215,1),(258,1),(264,1),(311,1)}
       241:{1,3,4,6}:{(215,1),(216,1),(259,1),(262,1),(264,1),(265,1),(295,1)}
       242:{2,5,6}:{(216,1),(263,1),(265,1)}
       243:{1,4,5,6}:{(217,1),(218,1),(221,1),(254,1),(266,1)}
       244:{1,3,5,7}:{(218,1),(219,1),(222,1),(266,1),(267,1)}
       245:{2,4,6,7}:{(219,1),(220,1),(256,1),(267,1),(268,1),(291,1)}
       246:{1,3,6,7}:{(220,1),(257,1),(268,1),(269,1),(308,1)}
       247:{3,5,6}:{(221,1),(222,1),(261,1),(286,1)}
       248:{2,6,7}:{(223,1),(263,1)}
       249:{2,5,6}:{(224,1),(225,1),(229,1),(270,1),(313,1)}
       250:{2,4,5,7}:{(225,1),(226,1),(227,1),(230,1),(270,1),(271,1)}
       251:{3,4,7}:{(226,1),(228,1),(271,1)}
       252:{3,5}:{(227,1),(228,1)}
       253:{2,3,4,6}:{(228,1),(234,1),(272,1),(273,1),(274,1),(283,1),(299,1),(307,1)}
       254:{1,4,6}:{(229,1),(230,1),(236,1),(270,1)}
       255:{1,3,4,5,7}:{(230,1),(231,1),(233,1),(237,1),(244,1),(271,1),(275,1),(276,1),(300,1)}
       256:{2,4,7}:{(231,1),(232,1),(234,1),(277,1)}
       257:{1,3,5,7}:{(232,1),(235,1),(246,1),(277,1),(278,1),(285,1),(305,1)}
       258:{2,4,5}:{(233,1),(234,1),(273,1),(279,1),(302,1)}
       259:{1,4,6}:{(234,1),(235,1),(277,1),(279,1)}
       260:{1,2,5,6}:{(235,1),(242,1),(278,1),(280,1),(302,1),(313,1)}
       261:{3,4,6}:{(236,1),(237,1),(247,1)}
       262:{1,3,4,7}:{(238,1),(239,1),(241,1),(277,1),(281,1),(305,1)}
       263:{2,5,7}:{(239,1),(242,1),(248,1),(281,1)}
       264:{1,3,4,5}:{(240,1),(241,1),(279,1),(282,1),(306,1)}
       265:{2,4,6}:{(241,1),(242,1),(281,1),(282,1),(283,1)}
       266:{1,3,5,6}:{(243,1),(244,1),(247,1),(275,1),(284,1)}
       267:{2,5,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{1,4,6,7}:{(245,1),(246,1),(277,1),(285,1),(304,1)}
       269:{1,2,6,7}:{(246,1),(248,1),(278,1),(313,1)}
       270:{2,4,6}:{(249,1),(250,1),(254,1),(286,1)}
       271:{3,5,7}:{(250,1),(251,1),(252,1),(286,1)}
       272:{2,3,4,7}:{(251,1),(253,1),(256,1),(287,1),(288,1),(296,1)}
       273:{2,3,5}:{(252,1),(253,1),(258,1),(289,1)}
       274:{1,3,4,6}:{(253,1),(259,1),(288,1),(289,1),(290,1),(295,1),(308,1),(312,1)}
       275:{1,3,4,6}:{(254,1),(255,1),(261,1),(266,1),(286,1),(291,1),(308,1)}
       276:{2,4,5,7}:{(255,1),(256,1),(258,1),(267,1),(287,1),(291,1),(292,1),(309,1)}
       277:{1,4,7}:{(256,1),(257,1),(259,1)}
       278:{1,2,5,7}:{(257,1),(260,1),(263,1),(269,1),(293,1),(309,1)}
       279:{1,4,5}:{(258,1),(259,1),(289,1)}
       280:{1,2,4,6}:{(259,1),(260,1),(265,1),(290,1),(293,1),(294,1),(295,1)}
       281:{2,4,7}:{(262,1),(263,1),(265,1),(296,1)}
       282:{2,4,5}:{(264,1),(265,1),(297,1)}
       283:{2,3,6}:{(265,1),(295,1),(296,1),(297,1)}
       284:{2,5,6}:{(266,1),(267,1),(291,1),(298,1)}
       285:{1,5,7}:{(267,1),(268,1),(298,1)}
       286:{3,6}:{(270,1),(271,1)}
       287:{2,3,5,7}:{(271,1),(272,1),(273,1),(276,1),(299,1),(300,1)}
       288:{1,3,4,7}:{(272,1),(274,1),(277,1),(300,1),(301,1),(305,1)}
       289:{1,3,5}:{(273,1),(274,1),(279,1),(302,1)}
       290:{2,4,6}:{(274,1),(301,1),(302,1),(303,1),(313,1),(314,1)}
       291:{2,4,6}:{(275,1),(276,1),(284,1),(299,1),(304,1),(313,1)}
       292:{1,4,5,7}:{(276,1),(277,1),(279,1),(285,1),(300,1),(304,1)}
       293:{1,2,4,7}:{(277,1),(278,1),(280,1),(281,1),(301,1),(305,1)}
       294:{1,2,4,5}:{(279,1),(280,1),(282,1),(302,1),(306,1),(314,1)}
       295:{1,3,6}:{(280,1),(283,1),(303,1),(305,1),(306,1)}
       296:{2,3,7}:{(281,1),(283,1),(305,1)}
       297:{2,3,5}:{(282,1),(283,1),(306,1),(307,1)}
       298:{1,5,6}:{(284,1),(285,1),(304,1)}
       299:{2,3,6}:{(286,1),(287,1),(291,1),(308,1)}
       300:{1,3,5,7}:{(287,1),(288,1),(289,1),(292,1),(308,1),(309,1)}
       301:{2,4,7}:{(288,1),(290,1),(309,1),(310,1)}
       302:{2,5}:{(289,1),(290,1)}
       303:{2,3,6}:{(290,1),(295,1),(310,1),(311,1)}
       304:{1,4,6}:{(291,1),(292,1),(298,1),(308,1)}
       305:{1,3,7}:{(293,1),(295,1),(296,1),(310,1)}
       306:{1,3,5}:{(294,1),(295,1),(297,1),(311,1),(312,1)}
       307:{2,3,4}:{(297,1),(312,1)}
       308:{1,3,6}:{(299,1),(300,1),(304,1),(313,1)}
       309:{2,5,7}:{(300,1),(301,1),(302,1),(313,1)}
       310:{2,3,7}:{(301,1),(303,1),(305,1)}
       311:{2,3,5}:{(302,1),(303,1),(306,1),(314,1)}
       312:{1,3,4}:{(306,1),(307,1),(314,1)}
       313:{2,6}:{(308,1),(309,1)}
       314:{2,4}:{(311,1),(312,1)}

2377 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2378 :   0:{1,3,4,5,6}:{(2,1),(3,1),(10,1),(15,1),(90,1),(164,1),(165,1),(219,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(7,1),(21,1),(30,1),(59,1),(62,1),(111,1),(120,1),(121,1),(122,1),(174,1),(183,1),(193,1),(227,1),(233,1),(266,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(30,1),(121,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(22,1),(31,1),(65,1),(137,1),(138,1),(196,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(11,1),(12,1),(82,1),(91,1),(144,1),(219,1),(249,1),(281,1)}
         5:{1,2,4,5,7}:{(1,1),(12,1),(13,1),(17,1),(40,1),(51,1),(88,1),(92,1),(94,1),(95,1),(143,1),(156,1),(167,1),(206,1),(212,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(219,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(153,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(18,1),(40,1),(51,1),(94,1)}
         9:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(52,1),(108,1),(109,1),(169,1)}
        10:{1,3,4,6}:{(4,1),(20,1),(21,1),(22,1),(233,1),(241,1),(267,1)}
        11:{2,3,5,6}:{(4,1),(21,1),(23,1),(24,1),(30,1),(56,1),(73,1),(111,1),(113,1),(114,1),(121,1),(174,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(123,1),(196,1),(230,1)}
        13:{1,2,4,6,7}:{(5,1),(25,1),(26,1),(33,1),(64,1),(69,1),(77,1),(120,1),(139,1),(174,1),(227,1)}
        14:{2,3,4,6}:{(6,1),(21,1),(27,1),(28,1),(29,1),(114,1),(241,1)}
        15:{1,3,5,6}:{(6,1),(7,1),(28,1),(30,1),(31,1)}
        16:{2,3,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(196,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(31,1),(33,1),(63,1),(125,1)}
        18:{2,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(77,1)}
        19:{1,3,5,6,7}:{(9,1),(34,1),(35,1),(65,1),(81,1)}
        20:{1,3,4,5}:{(10,1),(37,1),(82,1),(254,1),(261,1),(281,1)}
        21:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(40,1),(212,1),(221,1),(251,1)}
        23:{1,3,5,6}:{(11,1),(39,1),(42,1),(43,1),(82,1),(91,1),(144,1),(153,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(51,1),(94,1),(103,1),(143,1),(146,1)}
        25:{1,3,6,7}:{(12,1),(13,1),(44,1),(144,1),(169,1),(249,1)}
        26:{1,2,5,6,7}:{(13,1),(45,1),(54,1),(94,1),(107,1),(153,1),(156,1),(202,1),(260,1)}
        27:{2,3,4,5}:{(14,1),(37,1),(46,1),(142,1),(261,1)}
        28:{1,3,4,6}:{(14,1),(15,1),(39,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,3,4,7}:{(14,1),(16,1),(40,1),(49,1),(146,1),(221,1)}
        30:{2,5,6}:{(15,1),(48,1),(51,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(52,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(52,1),(169,1)}
        33:{1,4,6,7}:{(17,1),(18,1),(52,1),(54,1)}
        34:{2,5,6,7}:{(18,1),(19,1),(54,1),(94,1)}
        35:{1,4,5,6,7}:{(19,1),(55,1),(95,1),(108,1),(171,1)}
        36:{2,3,4,6}:{(21,1),(56,1),(57,1),(58,1),(73,1),(113,1),(130,1),(267,1)}
        37:{2,4,5}:{(20,1),(21,1),(56,1),(59,1),(111,1)}
        38:{1,3,4,5,7}:{(20,1),(22,1),(60,1),(61,1),(65,1),(112,1),(179,1),(180,1),(230,1)}
        39:{1,4,6}:{(21,1),(23,1),(59,1),(63,1)}
        40:{2,4,7}:{(21,1),(22,1),(24,1),(63,1)}
        41:{1,3,4,6,7}:{(22,1),(25,1),(61,1),(64,1),(65,1),(69,1),(129,1)}
        42:{1,2,5,6}:{(23,1),(30,1),(62,1),(66,1),(111,1),(174,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(123,1),(125,1)}
        44:{2,3,6,7}:{(24,1),(25,1),(64,1),(67,1),(77,1),(113,1),(174,1)}
        45:{1,3,5,6,7}:{(25,1),(26,1),(65,1),(68,1),(69,1),(175,1),(186,1),(238,1),(239,1)}
        46:{1,3,4,5}:{(27,1),(28,1),(59,1),(70,1),(118,1)}
        47:{2,3,4,5,7}:{(27,1),(29,1),(60,1),(71,1),(72,1),(76,1),(173,1),(180,1),(229,1),(230,1),(231,1),(244,1),(266,1),(277,1)}
        48:{2,4,6}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        49:{1,3,4,7}:{(28,1),(29,1),(31,1),(63,1),(74,1),(123,1)}
        50:{2,3,4,6,7}:{(29,1),(32,1),(64,1),(72,1),(75,1),(76,1),(79,1),(129,1),(177,1),(190,1),(198,1),(229,1),(244,1)}
        51:{2,5,7}:{(30,1),(31,1),(74,1),(77,1)}
        52:{1,3,6,7}:{(31,1),(32,1),(33,1),(77,1)}
        53:{2,3,5,6,7}:{(32,1),(34,1),(76,1),(78,1),(79,1),(81,1),(141,1),(198,1)}
        54:{1,5,6,7}:{(33,1),(34,1),(125,1)}
        55:{2,4,5,6,7}:{(34,1),(35,1),(79,1),(80,1),(81,1),(126,1),(139,1),(141,1)}
        56:{2,3,5}:{(36,1),(37,1),(82,1),(281,1)}
        57:{1,3,4,6}:{(36,1),(39,1),(82,1),(84,1),(85,1),(91,1),(144,1),(150,1)}
        58:{2,3,4,7}:{(36,1),(40,1),(83,1),(85,1),(103,1),(251,1)}
        59:{1,4,5}:{(37,1),(39,1),(82,1)}
        60:{2,4,5,7}:{(37,1),(38,1),(40,1),(83,1),(88,1),(89,1),(94,1),(143,1)}
        61:{1,3,4,6}:{(38,1),(89,1),(90,1),(144,1),(203,1),(204,1),(249,1)}
        62:{1,2,4,6}:{(39,1),(42,1),(48,1),(84,1),(87,1),(91,1),(92,1)}
        63:{1,4,7}:{(39,1),(40,1),(43,1)}
        64:{2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,3,5,7}:{(41,1),(90,1),(94,1),(95,1),(158,1)}
        66:{1,2,5,7}:{(42,1),(43,1),(51,1),(92,1),(96,1),(143,1)}
        67:{1,3,6,7}:{(43,1),(44,1),(93,1),(96,1),(144,1)}
        68:{2,3,5,6,7}:{(44,1),(45,1),(94,1),(97,1),(98,1),(107,1),(145,1),(158,1),(166,1),(169,1),(202,1),(205,1),(214,1),(215,1),(249,1)}
        69:{1,4,6,7}:{(45,1),(95,1),(98,1),(203,1),(212,1)}
        70:{2,4,5}:{(46,1),(48,1),(99,1)}
        71:{1,3,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(100,1),(101,1),(105,1),(151,1),(212,1),(221,1),(253,1),(254,1),(261,1),(264,1),(290,1)}
        72:{2,3,4,6}:{(47,1),(89,1),(101,1),(102,1),(201,1),(204,1),(248,1),(249,1),(250,1)}
        73:{2,3,6}:{(48,1),(91,1),(99,1),(103,1)}
        74:{2,4,7}:{(48,1),(49,1),(51,1),(103,1)}
        75:{1,3,4,6,7}:{(49,1),(50,1),(52,1),(93,1),(101,1),(104,1),(105,1),(108,1),(155,1),(169,1),(212,1),(216,1),(221,1),(224,1),(264,1)}
        76:{2,3,5,7}:{(50,1),(94,1),(102,1),(105,1),(106,1),(158,1),(214,1)}
        77:{2,6,7}:{(51,1),(52,1)}
        78:{1,3,5,6,7}:{(52,1),(53,1),(54,1),(105,1),(107,1),(108,1),(169,1),(171,1),(224,1)}
        79:{2,4,6,7}:{(53,1),(106,1),(108,1),(109,1)}
        80:{1,4,5,6,7}:{(54,1),(55,1),(108,1),(110,1),(157,1)}
        81:{3,5,6,7}:{(55,1),(109,1),(158,1),(169,1)}
        82:{1,3,5}:{(56,1),(57,1),(59,1),(111,1)}
        83:{2,3,5,7}:{(56,1),(58,1),(60,1),(112,1),(113,1),(230,1)}
        84:{2,4,6}:{(57,1),(111,1),(114,1),(115,1),(172,1),(174,1)}
        85:{1,3,4,7}:{(57,1),(58,1),(63,1),(112,1),(115,1),(123,1)}
        86:{2,3,4,6,7}:{(58,1),(64,1),(113,1),(116,1),(117,1),(129,1),(135,1),(176,1),(190,1),(191,1),(195,1),(268,1),(270,1)}
        87:{1,2,4,5}:{(59,1),(62,1),(70,1),(111,1),(118,1),(172,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(63,1),(112,1),(120,1),(125,1)}
        89:{2,4,6}:{(60,1),(61,1),(113,1),(120,1),(121,1),(174,1)}
        90:{1,3,5,6}:{(61,1),(65,1),(121,1),(122,1),(185,1)}
        91:{1,3,6}:{(62,1),(73,1),(114,1),(118,1),(123,1)}
        92:{1,2,4,7}:{(62,1),(63,1),(66,1),(74,1),(115,1),(123,1)}
        93:{1,4,6,7}:{(63,1),(64,1),(67,1),(120,1),(125,1)}
        94:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        95:{1,4,5,7}:{(65,1),(69,1),(122,1),(126,1),(238,1)}
        96:{1,2,6,7}:{(66,1),(67,1),(77,1),(174,1)}
        97:{1,3,5,6,7}:{(67,1),(68,1),(125,1),(127,1),(128,1),(175,1),(186,1),(188,1),(189,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(126,1),(128,1),(129,1),(176,1),(195,1),(227,1),(229,1)}
        99:{2,3,5}:{(70,1),(73,1),(118,1),(130,1)}
       100:{2,4,5,7}:{(70,1),(71,1),(74,1),(131,1),(132,1),(136,1),(195,1),(240,1),(280,1),(300,1)}
       101:{1,3,4,6}:{(71,1),(72,1),(120,1),(132,1),(133,1),(182,1),(233,1),(241,1),(269,1)}
       102:{2,3,5,6}:{(72,1),(76,1),(121,1),(133,1),(134,1),(185,1),(235,1)}
       103:{2,3,7}:{(73,1),(74,1),(123,1)}
       104:{2,4,6,7}:{(74,1),(75,1),(77,1),(132,1),(135,1),(136,1),(195,1),(246,1),(280,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(125,1),(133,1),(136,1),(137,1),(196,1),(238,1)}
       106:{2,4,5,7}:{(76,1),(79,1),(134,1),(137,1),(138,1),(229,1)}
       107:{2,5,6,7}:{(77,1),(78,1),(136,1),(139,1),(246,1)}
       108:{1,4,6,7}:{(78,1),(79,1),(137,1),(139,1)}
       109:{3,4,6,7}:{(79,1),(81,1),(138,1)}
       110:{1,3,5,6,7}:{(80,1),(81,1),(140,1),(141,1),(188,1)}
       111:{2,5}:{(82,1),(84,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(85,1),(88,1),(143,1),(144,1)}
       113:{2,3,6}:{(83,1),(89,1),(144,1),(249,1)}
       114:{2,3,6}:{(84,1),(91,1),(142,1),(146,1)}
       115:{2,4,7}:{(84,1),(85,1),(143,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(93,1),(144,1),(147,1),(148,1),(155,1),(203,1),(208,1),(212,1),(216,1),(249,1),(251,1),(283,1),(284,1)}
       117:{2,3,5,7}:{(86,1),(94,1),(145,1),(148,1),(149,1),(158,1),(214,1),(217,1)}
       118:{1,3,5}:{(87,1),(91,1),(99,1),(142,1),(150,1)}
       119:{1,2,4,5,7}:{(87,1),(88,1),(92,1),(100,1),(143,1),(151,1),(152,1),(156,1),(200,1),(206,1),(212,1),(247,1),(253,1),(254,1),(285,1),(289,1),(305,1)}
       120:{1,4,6}:{(88,1),(89,1),(144,1),(153,1)}
       121:{2,5,6}:{(89,1),(90,1),(94,1),(153,1)}
       122:{1,4,5,6}:{(90,1),(95,1),(154,1),(203,1),(257,1)}
       123:{1,3,7}:{(91,1),(92,1),(103,1),(146,1)}
       124:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(104,1),(147,1),(152,1),(155,1),(156,1),(212,1),(216,1),(260,1),(289,1)}
       125:{1,5,7}:{(93,1),(94,1),(153,1)}
       126:{2,4,5,7}:{(94,1),(95,1),(98,1),(154,1),(157,1),(158,1),(214,1)}
       127:{1,2,5,6,7}:{(96,1),(97,1),(107,1),(156,1),(159,1),(171,1),(202,1),(214,1),(257,1)}
       128:{1,4,6,7}:{(97,1),(98,1),(157,1),(203,1),(212,1)}
       129:{3,4,6,7}:{(98,1),(158,1),(169,1),(204,1),(221,1),(249,1),(251,1)}
       130:{2,3,4}:{(99,1),(150,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(151,1),(161,1),(162,1),(217,1),(292,1),(307,1)}
       132:{2,4,6}:{(100,1),(101,1),(162,1),(163,1)}
       133:{1,3,5,6}:{(101,1),(102,1),(105,1),(153,1),(163,1),(164,1),(219,1),(257,1)}
       134:{2,4,5,6}:{(102,1),(106,1),(164,1),(165,1),(248,1)}
       135:{2,3,6,7}:{(103,1),(104,1),(155,1),(162,1),(166,1),(169,1),(292,1)}
       136:{2,5,7}:{(104,1),(105,1),(163,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(164,1),(167,1),(212,1)}
       138:{3,4,5,7}:{(106,1),(109,1),(158,1),(165,1),(251,1)}
       139:{2,4,6,7}:{(107,1),(108,1),(167,1),(169,1)}
       140:{1,3,4,6,7}:{(108,1),(109,1),(110,1),(168,1),(169,1),(170,1),(224,1)}
       141:{2,5,6,7}:{(110,1),(170,1),(171,1),(214,1)}
       142:{2,3,5}:{(111,1),(114,1),(118,1),(172,1)}
       143:{2,5,7}:{(111,1),(112,1),(115,1),(174,1)}
       144:{1,3,6}:{(112,1),(113,1),(120,1),(174,1)}
       145:{2,3,5,6}:{(113,1),(117,1),(121,1),(175,1),(176,1),(185,1),(235,1),(268,1)}
       146:{2,3,7}:{(114,1),(115,1),(123,1)}
       147:{2,4,6,7}:{(115,1),(116,1),(174,1),(177,1),(178,1),(225,1),(227,1),(229,1),(295,1),(296,1)}
       148:{1,3,5,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(179,1),(230,1),(232,1),(238,1)}
       149:{2,4,5,7}:{(117,1),(176,1),(179,1),(180,1),(195,1),(240,1)}
       150:{1,3,4}:{(118,1),(130,1),(172,1)}
       151:{1,3,5,7}:{(118,1),(119,1),(123,1),(131,1),(173,1),(181,1),(182,1),(230,1),(232,1),(299,1),(310,1)}
       152:{1,2,4,6}:{(119,1),(120,1),(132,1),(174,1),(182,1),(183,1),(225,1),(227,1),(233,1),(269,1),(295,1)}
       153:{1,5,6}:{(120,1),(121,1),(125,1)}
       154:{2,4,5,6}:{(121,1),(122,1),(126,1),(176,1),(184,1),(185,1),(227,1),(235,1)}
       155:{1,3,6,7}:{(123,1),(124,1),(135,1),(177,1),(182,1),(186,1),(299,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(136,1),(178,1),(183,1),(186,1),(238,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(128,1),(184,1),(188,1)}
       158:{3,5,7}:{(126,1),(129,1),(185,1)}
       159:{1,2,4,6,7}:{(127,1),(128,1),(139,1),(187,1),(189,1),(190,1),(199,1),(227,1),(246,1),(269,1),(295,1)}
       160:{1,3,4,6,7}:{(128,1),(129,1),(188,1),(189,1),(190,1),(228,1),(236,1)}
       161:{2,3,4,7}:{(130,1),(131,1),(181,1),(191,1),(195,1),(311,1)}
       162:{2,3,6}:{(131,1),(132,1),(182,1)}
       163:{2,5,6}:{(132,1),(133,1),(136,1)}
       164:{1,4,5,6}:{(133,1),(134,1),(137,1),(193,1),(233,1)}
       165:{3,4,5,6}:{(134,1),(138,1),(185,1),(267,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(186,1),(192,1),(195,1),(196,1)}
       167:{2,4,5,7}:{(136,1),(137,1),(139,1),(193,1),(195,1),(196,1)}
       168:{1,3,4,5,7}:{(137,1),(138,1),(140,1),(188,1),(194,1),(196,1),(197,1),(236,1),(245,1)}
       169:{3,6,7}:{(139,1),(196,1)}
       170:{2,4,6,7}:{(140,1),(141,1),(197,1),(198,1),(199,1),(246,1)}
       171:{1,5,6,7}:{(141,1),(199,1),(238,1)}
       172:{2,4}:{(142,1),(150,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(146,1),(151,1),(200,1),(201,1),(247,1),(285,1),(304,1),(312,1)}
       174:{2,6}:{(143,1),(144,1)}
       175:{1,3,5,6}:{(144,1),(145,1),(148,1),(153,1),(202,1),(203,1),(249,1),(257,1),(283,1)}
       176:{2,4,6}:{(145,1),(149,1),(203,1),(204,1)}
       177:{2,3,6,7}:{(146,1),(147,1),(155,1),(201,1),(205,1),(249,1),(304,1)}
       178:{2,5,7}:{(147,1),(148,1),(202,1),(247,1)}
       179:{1,4,5,7}:{(148,1),(149,1),(203,1),(206,1),(212,1),(254,1)}
       180:{3,4,5,7}:{(149,1),(158,1),(204,1),(221,1),(261,1)}
       181:{1,3,4,7}:{(150,1),(151,1),(161,1),(200,1),(208,1),(212,1),(251,1),(313,1)}
       182:{1,3,6}:{(151,1),(152,1),(162,1),(201,1),(249,1)}
       183:{1,2,5,6}:{(152,1),(153,1),(156,1),(163,1),(202,1),(209,1),(247,1),(257,1)}
       184:{1,4,5,6}:{(153,1),(154,1),(157,1),(203,1),(211,1)}
       185:{3,5,6}:{(154,1),(158,1),(204,1),(249,1)}
       186:{1,3,5,7}:{(155,1),(156,1),(166,1),(205,1),(209,1),(212,1)}
       187:{1,2,4,5,7}:{(156,1),(157,1),(159,1),(167,1),(206,1),(210,1),(212,1),(213,1),(214,1),(223,1),(253,1),(258,1),(265,1),(285,1),(289,1)}
       188:{1,3,5,7}:{(157,1),(158,1),(160,1),(211,1),(214,1)}
       189:{1,3,6,7}:{(159,1),(169,1),(213,1),(215,1),(249,1),(283,1)}
       190:{2,4,6,7}:{(160,1),(214,1),(215,1),(216,1),(250,1),(258,1)}
       191:{2,3,4,6}:{(161,1),(162,1),(208,1),(217,1),(218,1)}
       192:{2,3,5,6}:{(162,1),(163,1),(166,1),(209,1),(217,1),(218,1),(219,1)}
       193:{2,4,5,6}:{(163,1),(164,1),(167,1),(218,1),(219,1)}
       194:{1,3,4,5,6}:{(164,1),(165,1),(168,1),(211,1),(219,1),(220,1),(255,1),(263,1)}
       195:{2,4,7}:{(166,1),(212,1),(218,1),(221,1)}
       196:{3,5,7}:{(167,1),(169,1),(219,1),(221,1)}
       197:{2,4,5,7}:{(168,1),(170,1),(214,1),(220,1),(222,1),(223,1),(258,1),(265,1)}
       198:{2,3,6,7}:{(169,1),(170,1),(222,1),(224,1)}
       199:{1,4,6,7}:{(170,1),(171,1),(223,1),(224,1)}
       200:{2,4,7}:{(172,1),(173,1),(181,1),(225,1),(314,1)}
       201:{2,3,6}:{(173,1),(174,1),(182,1),(225,1),(295,1)}
       202:{2,5,6}:{(174,1),(175,1),(178,1),(227,1),(295,1)}
       203:{1,4,6}:{(175,1),(176,1),(179,1),(227,1)}
       204:{3,4,6}:{(176,1),(180,1),(185,1)}
       205:{2,3,5,7}:{(177,1),(178,1),(186,1),(226,1),(229,1),(230,1)}
       206:{2,4,5,7}:{(178,1),(179,1),(227,1),(229,1),(230,1),(266,1)}
       207:{1,3,4,5,7}:{(179,1),(180,1),(188,1),(228,1),(230,1),(231,1),(236,1),(271,1),(272,1)}
       208:{1,3,4,6}:{(181,1),(182,1),(191,1),(225,1),(232,1),(233,1),(267,1)}
       209:{1,3,5,6}:{(182,1),(183,1),(186,1),(192,1),(226,1),(232,1),(233,1)}
       210:{1,2,4,5,6}:{(183,1),(184,1),(187,1),(193,1),(227,1),(233,1),(234,1),(235,1),(243,1),(266,1),(269,1),(273,1),(279,1),(295,1),(297,1),(298,1),(308,1)}
       211:{1,3,5,6}:{(184,1),(185,1),(188,1),(228,1),(235,1)}
       212:{1,4,7}:{(186,1),(195,1),(229,1),(233,1)}
       213:{1,3,5,7}:{(187,1),(189,1),(196,1),(230,1),(234,1),(236,1),(237,1),(299,1)}
       214:{2,5,7}:{(188,1),(190,1),(235,1),(238,1)}
       215:{2,3,6,7}:{(189,1),(190,1),(237,1),(239,1),(246,1),(268,1),(295,1)}
       216:{1,4,6,7}:{(190,1),(238,1),(239,1),(269,1),(275,1)}
       217:{2,3,5}:{(191,1),(232,1),(240,1)}
       218:{2,4,6}:{(192,1),(195,1),(233,1),(240,1),(241,1)}
       219:{3,5,6}:{(193,1),(196,1),(241,1)}
       220:{2,4,5,6}:{(194,1),(197,1),(235,1),(242,1),(243,1),(273,1),(279,1)}
       221:{3,4,7}:{(195,1),(196,1),(241,1)}
       222:{2,3,5,7}:{(196,1),(197,1),(198,1),(242,1),(244,1),(245,1)}
       223:{1,4,5,7}:{(197,1),(199,1),(238,1),(243,1),(245,1),(275,1)}
       224:{1,3,6,7}:{(198,1),(199,1),(245,1),(246,1)}
       225:{2,4,6}:{(200,1),(201,1),(208,1),(247,1)}
       226:{2,3,5,6}:{(201,1),(202,1),(205,1),(209,1),(247,1),(248,1),(249,1),(281,1)}
       227:{2,4,6}:{(202,1),(203,1),(206,1),(249,1)}
       228:{1,3,4,6}:{(203,1),(204,1),(207,1),(211,1),(249,1),(250,1),(283,1)}
       229:{2,4,7}:{(205,1),(212,1),(248,1),(251,1)}
       230:{3,5,7}:{(206,1),(249,1),(251,1),(281,1)}
       231:{2,4,5,7}:{(207,1),(214,1),(250,1),(252,1),(253,1),(258,1),(285,1),(286,1)}
       232:{1,3,5}:{(208,1),(217,1),(247,1),(254,1),(281,1)}
       233:{1,4,6}:{(209,1),(212,1),(218,1),(248,1),(254,1)}
       234:{1,3,5,6}:{(210,1),(213,1),(219,1),(249,1),(255,1),(256,1),(281,1),(283,1),(302,1),(306,1)}
       235:{2,5,6}:{(211,1),(214,1),(250,1),(257,1)}
       236:{1,3,4,7}:{(212,1),(213,1),(221,1),(251,1),(255,1),(258,1)}
       237:{2,3,5,7}:{(213,1),(214,1),(215,1),(256,1),(258,1),(259,1),(265,1),(285,1),(292,1),(304,1)}
       238:{1,5,7}:{(214,1),(216,1),(257,1)}
       239:{1,3,6,7}:{(215,1),(216,1),(259,1),(260,1),(283,1)}
       240:{2,4,5}:{(217,1),(218,1),(254,1),(261,1)}
       241:{3,4,6}:{(218,1),(219,1),(221,1),(261,1)}
       242:{2,3,5,6}:{(219,1),(220,1),(222,1),(262,1),(263,1)}
       243:{1,4,5,6}:{(220,1),(223,1),(257,1),(263,1),(287,1)}
       244:{2,3,4,7}:{(221,1),(222,1),(258,1),(262,1),(264,1),(304,1)}
       245:{1,3,5,7}:{(222,1),(223,1),(224,1),(263,1),(264,1),(265,1)}
       246:{2,6,7}:{(224,1),(265,1)}
       247:{2,5}:{(225,1),(232,1)}
       248:{2,4,6}:{(226,1),(229,1),(233,1),(266,1),(267,1)}
       249:{3,6}:{(227,1),(230,1)}
       250:{2,4,6}:{(228,1),(231,1),(235,1),(268,1),(269,1),(295,1)}
       251:{3,4,7}:{(229,1),(230,1),(267,1)}
       252:{2,3,5,7}:{(230,1),(231,1),(268,1),(270,1),(271,1),(293,1)}
       253:{1,4,5,7}:{(231,1),(238,1),(269,1),(271,1),(275,1),(297,1)}
       254:{1,4,5}:{(232,1),(233,1),(240,1),(266,1)}
       255:{1,3,4,6}:{(233,1),(234,1),(236,1),(241,1),(267,1),(272,1),(273,1)}
       256:{2,3,5,6}:{(234,1),(235,1),(237,1),(268,1),(273,1),(274,1),(279,1),(293,1),(295,1),(301,1),(308,1),(309,1)}
       257:{1,5,6}:{(235,1),(238,1),(269,1)}
       258:{2,4,7}:{(236,1),(237,1),(273,1),(275,1)}
       259:{1,3,5,7}:{(237,1),(238,1),(239,1),(274,1),(275,1),(276,1),(299,1)}
       260:{1,2,6,7}:{(239,1),(246,1),(276,1),(295,1)}
       261:{3,4,5}:{(240,1),(241,1)}
       262:{2,3,4,6}:{(241,1),(242,1),(244,1),(273,1),(277,1),(278,1),(309,1)}
       263:{1,3,5,6}:{(242,1),(243,1),(245,1),(278,1),(279,1)}
       264:{1,3,4,7}:{(244,1),(245,1),(275,1),(278,1),(280,1),(299,1)}
       265:{2,5,7}:{(245,1),(246,1),(279,1),(280,1)}
       266:{2,4,5}:{(247,1),(248,1),(254,1),(281,1)}
       267:{3,4,6}:{(248,1),(249,1),(251,1),(281,1)}
       268:{2,3,6}:{(249,1),(250,1),(252,1),(283,1)}
       269:{1,4,6}:{(250,1),(253,1),(257,1),(283,1)}
       270:{2,3,4,7}:{(251,1),(252,1),(258,1),(282,1),(284,1),(292,1)}
       271:{1,3,5,7}:{(252,1),(253,1),(283,1),(284,1),(285,1),(302,1)}
       272:{1,3,4,5}:{(254,1),(255,1),(261,1),(281,1),(286,1),(302,1)}
       273:{2,4,6}:{(255,1),(256,1),(258,1),(286,1),(287,1)}
       274:{1,3,5,6}:{(256,1),(257,1),(259,1),(283,1),(287,1),(288,1),(302,1),(306,1)}
       275:{1,4,7}:{(258,1),(259,1),(287,1)}
       276:{1,2,5,7}:{(259,1),(260,1),(265,1),(285,1),(288,1),(289,1)}
       277:{2,3,4,5}:{(261,1),(262,1),(286,1),(290,1),(312,1)}
       278:{1,3,4,6}:{(262,1),(263,1),(264,1),(287,1),(290,1),(291,1),(306,1)}
       279:{2,5,6}:{(263,1),(265,1),(291,1)}
       280:{2,4,7}:{(264,1),(265,1),(291,1),(292,1)}
       281:{3,5}:{(266,1),(267,1)}
       282:{2,3,4,6}:{(267,1),(268,1),(270,1),(273,1),(293,1),(294,1),(301,1),(311,1)}
       283:{1,3,6}:{(268,1),(269,1),(271,1),(295,1)}
       284:{1,3,4,7}:{(270,1),(271,1),(275,1),(294,1),(296,1),(299,1)}
       285:{2,5,7}:{(271,1),(295,1),(296,1),(308,1)}
       286:{2,4,5}:{(272,1),(273,1),(293,1),(297,1),(308,1)}
       287:{1,4,6}:{(273,1),(274,1),(275,1),(297,1)}
       288:{1,2,5,6}:{(274,1),(276,1),(279,1),(295,1),(298,1),(308,1)}
       289:{1,2,4,7}:{(275,1),(276,1),(280,1),(296,1),(298,1),(299,1)}
       290:{1,3,4,5}:{(277,1),(278,1),(297,1),(300,1),(310,1)}
       291:{2,4,6}:{(278,1),(279,1),(280,1),(300,1),(301,1)}
       292:{2,3,7}:{(280,1),(299,1),(301,1)}
       293:{2,3,5}:{(281,1),(282,1),(286,1),(302,1)}
       294:{1,3,4,6}:{(282,1),(283,1),(284,1),(287,1),(302,1),(303,1),(306,1),(313,1)}
       295:{2,6}:{(283,1),(285,1)}
       296:{2,4,7}:{(284,1),(285,1),(303,1),(304,1)}
       297:{1,4,5}:{(286,1),(287,1),(302,1)}
       298:{1,2,4,6}:{(287,1),(288,1),(289,1),(291,1),(303,1),(305,1),(306,1)}
       299:{1,3,7}:{(289,1),(292,1),(304,1),(306,1)}
       300:{2,4,5}:{(290,1),(291,1),(307,1)}
       301:{2,3,6}:{(291,1),(292,1),(306,1),(307,1)}
       302:{1,3,5}:{(293,1),(294,1),(297,1),(308,1)}
       303:{2,4,6}:{(294,1),(295,1),(296,1),(308,1),(309,1),(314,1)}
       304:{2,3,7}:{(296,1),(299,1),(309,1)}
       305:{1,2,4,5}:{(297,1),(298,1),(300,1),(308,1),(310,1),(314,1)}
       306:{1,3,6}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,3,5}:{(300,1),(301,1),(310,1),(311,1)}
       308:{2,5}:{(302,1),(303,1)}
       309:{2,3,6}:{(303,1),(304,1),(306,1),(312,1)}
       310:{1,3,5}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3,4}:{(307,1),(313,1)}
       312:{2,3,5}:{(308,1),(309,1),(310,1),(314,1)}
       313:{1,3,4}:{(310,1),(311,1),(314,1)}
       314:{2,4}:{(312,1),(313,1)}

2379 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(79,1),(127,1),(132,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(95,1),(112,1),(114,1),(142,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(30,1),(109,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(115,1),(155,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(89,1),(92,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(45,1),(86,1),(127,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(29,1),(56,1),(100,1),(108,1),(112,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(93,1),(139,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(33,1),(68,1),(72,1),(142,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(148,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(20,1),(74,1),(122,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(20,1),(21,1),(44,1),(85,1),(89,1)}
        13:{2,3,4,6}:{(7,1),(19,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(20,1),(23,1),(24,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(24,1),(25,1),(155,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(26,1),(54,1),(160,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(27,1),(86,1),(164,1)}
        18:{2,3,5,6}:{(11,1),(29,1),(30,1),(59,1),(105,1),(108,1)}
        19:{1,3,4,6}:{(11,1),(13,1),(29,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(14,1),(30,1),(32,1),(33,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(33,1),(34,1),(63,1),(68,1),(100,1)}
        22:{2,3,4,5}:{(13,1),(31,1),(93,1)}
        23:{2,3,4,7}:{(13,1),(14,1),(32,1)}
        24:{2,3,6,7}:{(14,1),(15,1),(33,1),(139,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(169,1)}
        26:{1,4,5,6,7}:{(16,1),(17,1),(39,1),(68,1),(174,1)}
        27:{3,4,5,6,7}:{(17,1),(110,1),(177,1)}
        28:{1,2,3,5,6}:{(18,1),(40,1),(41,1),(74,1),(116,1),(122,1),(125,1)}
        29:{2,4,6}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(20,1),(44,1),(45,1),(85,1)}
        31:{1,3,4,5}:{(19,1),(22,1),(43,1),(74,1)}
        32:{1,3,4,7}:{(19,1),(20,1),(23,1),(44,1)}
        33:{1,3,6,7}:{(20,1),(21,1),(24,1),(45,1),(122,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(49,1),(85,1),(125,1)}
        35:{2,3,4,5,6}:{(22,1),(46,1),(50,1),(51,1),(116,1),(180,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(47,1),(51,1),(52,1),(117,1),(158,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(53,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(49,1),(52,1),(53,1),(54,1),(157,1)}
        39:{2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(180,1)}
        40:{1,2,4,6}:{(28,1),(29,1),(55,1),(56,1),(57,1),(136,1)}
        41:{1,2,3,5,7}:{(28,1),(30,1),(57,1),(58,1),(97,1),(101,1),(138,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,4,5}:{(29,1),(31,1),(59,1)}
        44:{2,4,7}:{(29,1),(30,1),(32,1)}
        45:{2,3,6,7}:{(30,1),(33,1),(63,1),(105,1)}
        46:{1,3,4,5,6}:{(31,1),(35,1),(61,1),(65,1),(66,1),(96,1),(174,1),(177,1)}
        47:{1,3,4,5,7}:{(31,1),(32,1),(36,1),(62,1),(66,1),(67,1),(97,1),(145,1),(151,1)}
        48:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(63,1),(66,1),(67,1),(68,1),(110,1)}
        49:{1,3,5,6,7}:{(33,1),(34,1),(38,1),(64,1),(67,1),(68,1),(144,1)}
        50:{2,3,4,5,7}:{(35,1),(65,1),(69,1),(138,1),(185,1)}
        51:{2,3,4,6}:{(36,1),(66,1),(70,1),(139,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(67,1),(70,1),(71,1)}
        53:{2,4,6,7}:{(38,1),(68,1),(71,1),(72,1),(171,1)}
        54:{3,5,6,7}:{(39,1),(72,1),(186,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,4,5}:{(40,1),(43,1),(74,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(75,1),(154,1)}
        58:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(122,1),(156,1)}
        59:{2,3,5}:{(42,1),(43,1),(74,1)}
        60:{2,3,4,7}:{(42,1),(44,1),(75,1),(81,1)}
        61:{2,4,5,6}:{(43,1),(46,1),(80,1),(83,1),(84,1)}
        62:{2,4,5,7}:{(43,1),(44,1),(47,1),(81,1),(84,1),(85,1)}
        63:{2,4,6,7}:{(44,1),(45,1),(48,1),(84,1),(85,1)}
        64:{2,3,5,6,7}:{(45,1),(49,1),(85,1),(86,1),(129,1),(133,1)}
        65:{1,3,4,5,7}:{(46,1),(50,1),(83,1),(87,1),(121,1),(183,1),(184,1)}
        66:{1,3,4,6}:{(47,1),(51,1),(84,1),(88,1),(122,1),(162,1),(166,1)}
        67:{1,3,5,7}:{(48,1),(52,1),(85,1),(88,1),(89,1),(133,1)}
        68:{1,4,6,7}:{(49,1),(53,1),(86,1),(89,1),(162,1)}
        69:{2,3,4,6,7}:{(50,1),(51,1),(87,1),(90,1),(156,1),(181,1)}
        70:{2,3,5,6}:{(51,1),(52,1),(88,1),(91,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(89,1),(91,1),(92,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(92,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(136,1),(139,1)}
        74:{1,3,5}:{(55,1),(56,1),(59,1),(93,1)}
        75:{1,3,4,7}:{(55,1),(57,1),(60,1),(94,1),(97,1)}
        76:{1,2,4,5,6}:{(56,1),(61,1),(96,1),(99,1),(100,1),(136,1),(169,1),(174,1)}
        77:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(97,1),(100,1),(101,1),(137,1),(145,1)}
        78:{1,2,4,6,7}:{(57,1),(58,1),(63,1),(98,1),(100,1),(101,1),(168,1)}
        79:{2,3,4,5}:{(59,1),(95,1),(102,1)}
        80:{2,3,5,6}:{(59,1),(61,1),(96,1),(102,1),(104,1),(105,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(62,1),(97,1),(105,1)}
        82:{2,3,4,6,7}:{(60,1),(63,1),(98,1),(105,1),(106,1),(110,1),(150,1)}
        83:{2,4,5,7}:{(61,1),(65,1),(104,1),(107,1)}
        84:{2,4,6}:{(62,1),(66,1),(105,1),(108,1)}
        85:{2,5,7}:{(63,1),(67,1),(108,1)}
        86:{2,4,6,7}:{(64,1),(68,1),(109,1),(110,1),(150,1)}
        87:{1,3,4,6,7}:{(65,1),(66,1),(69,1),(107,1),(111,1),(143,1),(175,1),(178,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(70,1),(108,1),(112,1),(153,1)}
        89:{1,4,5,7}:{(67,1),(68,1),(71,1),(109,1),(112,1)}
        90:{2,3,5,6,7}:{(69,1),(70,1),(111,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(112,1),(114,1),(171,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(114,1)}
        93:{2,3,5}:{(73,1),(74,1),(115,1)}
        94:{2,3,4,7}:{(73,1),(75,1),(117,1),(154,1)}
        95:{1,3,4,5}:{(74,1),(79,1),(115,1),(119,1)}
        96:{1,3,5,6}:{(74,1),(76,1),(80,1),(116,1),(119,1),(121,1),(122,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,4,6,7}:{(75,1),(78,1),(82,1),(118,1),(122,1),(123,1),(162,1)}
        99:{1,2,4,5,7}:{(76,1),(83,1),(121,1),(124,1),(154,1),(179,1),(183,1)}
       100:{1,2,4,6}:{(77,1),(84,1),(122,1),(125,1),(155,1),(162,1)}
       101:{1,2,5,7}:{(78,1),(85,1),(123,1),(125,1),(179,1)}
       102:{2,3,4,6}:{(79,1),(80,1),(119,1),(126,1)}
       103:{2,3,4,5,7}:{(79,1),(81,1),(120,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,3,5,7}:{(80,1),(83,1),(121,1),(126,1),(128,1)}
       105:{2,3,6}:{(81,1),(84,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(85,1),(123,1),(129,1),(130,1),(133,1)}
       107:{2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       108:{2,5,6}:{(84,1),(85,1),(88,1)}
       109:{2,4,5,7}:{(85,1),(86,1),(89,1),(132,1),(133,1)}
       110:{3,4,6,7}:{(86,1),(133,1),(166,1)}
       111:{1,3,5,6,7}:{(87,1),(88,1),(90,1),(131,1),(134,1),(167,1)}
       112:{1,4,5,6}:{(88,1),(89,1),(91,1),(132,1),(162,1)}
       113:{2,4,5,6,7}:{(90,1),(91,1),(134,1),(135,1),(181,1)}
       114:{3,4,5,6}:{(91,1),(92,1),(182,1)}
       115:{2,4,5}:{(93,1),(95,1),(136,1)}
       116:{2,3,5,6}:{(93,1),(96,1),(136,1),(138,1),(139,1),(169,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(137,1),(139,1)}
       118:{2,3,4,6,7}:{(94,1),(98,1),(139,1),(140,1),(168,1),(171,1),(187,1)}
       119:{1,3,4,6}:{(95,1),(96,1),(102,1),(136,1),(141,1)}
       120:{1,3,4,5,7}:{(95,1),(97,1),(103,1),(137,1),(141,1),(142,1),(145,1),(172,1),(173,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(141,1),(143,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(144,1),(145,1)}
       124:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(143,1),(146,1),(168,1),(175,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(108,1),(144,1),(169,1)}
       126:{2,3,4,7}:{(102,1),(104,1),(141,1)}
       127:{2,3,4,6}:{(103,1),(105,1),(142,1),(148,1),(150,1)}
       128:{2,3,6,7}:{(104,1),(105,1),(107,1),(143,1)}
       129:{2,3,5,6}:{(105,1),(106,1),(108,1),(144,1),(150,1),(153,1)}
       130:{2,4,5,7}:{(106,1),(145,1),(150,1),(151,1)}
       131:{2,5,6,7}:{(107,1),(108,1),(111,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(112,1),(150,1),(153,1)}
       133:{3,5,7}:{(109,1),(110,1),(153,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(113,1),(152,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,6}:{(115,1),(116,1),(119,1),(154,1)}
       137:{2,4,5,7}:{(115,1),(117,1),(120,1),(154,1),(155,1),(179,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(154,1),(156,1),(179,1)}
       139:{2,3,6}:{(117,1),(122,1),(155,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(157,1),(158,1),(179,1),(188,1)}
       141:{1,3,4,7}:{(119,1),(121,1),(126,1),(154,1)}
       142:{1,3,4,6}:{(120,1),(122,1),(127,1),(155,1),(160,1),(162,1),(182,1)}
       143:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(156,1)}
       144:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(157,1),(162,1)}
       145:{1,4,5,7}:{(123,1),(130,1),(158,1),(162,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(131,1),(161,1),(179,1)}
       147:{2,3,4,6,7}:{(126,1),(127,1),(128,1),(159,1),(163,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(160,1),(163,1),(164,1)}
       149:{2,3,5,6,7}:{(128,1),(129,1),(131,1),(161,1),(163,1),(165,1),(167,1)}
       150:{2,4,6}:{(129,1),(130,1),(162,1),(166,1)}
       151:{3,4,5,7}:{(130,1),(133,1),(166,1)}
       152:{2,4,5,6,7}:{(131,1),(132,1),(134,1),(165,1),(167,1)}
       153:{3,5,6}:{(132,1),(133,1),(166,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1)}
       155:{2,4,6}:{(137,1),(139,1),(142,1),(169,1)}
       156:{2,3,6,7}:{(138,1),(139,1),(143,1),(168,1)}
       157:{2,3,5,6}:{(139,1),(140,1),(144,1),(169,1),(171,1),(186,1)}
       158:{2,4,5,7}:{(140,1),(145,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(147,1),(168,1),(173,1),(175,1),(187,1)}
       160:{1,3,5,6}:{(142,1),(148,1),(169,1),(173,1),(174,1),(186,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(149,1),(170,1),(173,1),(175,1)}
       162:{1,4,6}:{(144,1),(145,1),(150,1),(171,1)}
       163:{2,3,5,7}:{(147,1),(148,1),(173,1),(176,1)}
       164:{2,4,5,6}:{(148,1),(150,1),(174,1),(176,1),(177,1)}
       165:{2,4,6,7}:{(149,1),(150,1),(175,1),(176,1),(178,1)}
       166:{3,4,6}:{(150,1),(151,1),(153,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(179,1)}
       169:{2,5,6}:{(155,1),(160,1),(179,1)}
       170:{2,3,5,6,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(188,1)}
       171:{2,4,6}:{(157,1),(158,1),(162,1),(182,1)}
       172:{3,4,5,7}:{(158,1),(182,1),(188,1)}
       173:{1,3,5,7}:{(159,1),(160,1),(163,1),(179,1),(183,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(164,1),(180,1),(183,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(165,1),(181,1),(183,1)}
       176:{2,4,5,7}:{(163,1),(164,1),(165,1),(183,1),(184,1)}
       177:{3,4,5,6}:{(164,1),(166,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,5,7}:{(168,1),(169,1),(173,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(174,1),(185,1),(186,1)}
       181:{2,4,6,7}:{(170,1),(171,1),(175,1),(185,1),(187,1)}
       182:{3,4,6}:{(171,1),(172,1),(186,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{2,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(188,1)}
       186:{3,5,6}:{(180,1),(182,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2380 :   0:{1,3,4,5,7}:{(6,1),(7,1),(9,1),(31,1),(40,1),(42,1),(96,1),(107,1),(117,1),(118,1),(186,1),(187,1),(191,1),(247,1)}
         1:{1,3,4,6,7}:{(7,1),(8,1),(9,1),(11,1),(47,1),(52,1),(117,1),(118,1),(191,1)}
         2:{1,3,5,6,7}:{(9,1),(10,1),(11,1),(35,1),(52,1)}
         3:{1,2,4,5,7}:{(13,1),(14,1),(16,1),(20,1),(55,1),(59,1),(68,1),(70,1),(73,1),(127,1),(134,1),(136,1),(137,1),(155,1),(209,1),(217,1),(219,1),(252,1),(256,1),(262,1)}
         4:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(17,1),(24,1),(68,1),(78,1),(122,1),(155,1),(194,1),(252,1)}
         5:{1,3,4,6,7}:{(15,1),(17,1),(18,1),(60,1),(65,1),(68,1),(142,1),(145,1)}
         6:{2,4,5,7}:{(0,1),(19,1),(20,1),(21,1),(25,1),(59,1),(73,1),(80,1),(136,1),(150,1),(155,1),(219,1)}
         7:{1,3,4,6}:{(0,1),(21,1),(22,1),(65,1),(74,1),(142,1),(152,1),(153,1),(221,1)}
         8:{2,4,6,7}:{(1,1),(21,1),(23,1),(24,1),(25,1),(78,1),(80,1),(155,1)}
         9:{1,3,5,7}:{(1,1),(22,1),(25,1),(26,1),(82,1)}
        10:{2,5,6,7}:{(2,1),(25,1),(27,1),(28,1),(64,1)}
        11:{1,4,6,7}:{(2,1),(26,1),(28,1),(65,1),(158,1)}
        12:{1,3,4,5,7}:{(29,1),(30,1),(31,1),(40,1),(85,1),(87,1),(96,1),(107,1),(227,1),(228,1),(232,1),(233,1),(273,1),(277,1)}
        13:{1,3,5,7}:{(3,1),(31,1),(32,1),(33,1),(96,1),(107,1),(173,1),(191,1),(238,1),(247,1),(273,1),(277,1)}
        14:{1,2,4,6}:{(3,1),(33,1),(34,1),(44,1),(89,1),(95,1),(100,1),(102,1),(111,1),(166,1),(188,1),(234,1),(243,1)}
        15:{1,3,6,7}:{(4,1),(33,1),(36,1),(37,1),(191,1),(243,1),(273,1)}
        16:{1,2,5,7}:{(4,1),(34,1),(37,1),(39,1),(49,1),(116,1),(161,1),(226,1),(285,1)}
        17:{2,4,6,7}:{(5,1),(36,1),(38,1),(39,1),(95,1),(102,1),(105,1)}
        18:{1,3,5,7}:{(5,1),(35,1),(39,1),(40,1),(96,1),(107,1)}
        19:{2,3,5,7}:{(6,1),(41,1),(42,1),(43,1),(107,1),(110,1),(183,1),(191,1),(247,1)}
        20:{1,4,5,7}:{(6,1),(42,1),(44,1),(49,1),(94,1),(117,1),(175,1),(186,1)}
        21:{2,4,6}:{(6,1),(7,1),(43,1),(44,1),(45,1),(111,1)}
        22:{1,3,5,6}:{(7,1),(9,1),(45,1),(46,1),(96,1),(115,1)}
        23:{2,3,6,7}:{(8,1),(43,1),(47,1),(48,1),(52,1),(120,1),(191,1)}
        24:{1,4,6,7}:{(8,1),(44,1),(47,1),(49,1),(117,1)}
        25:{2,5,7}:{(8,1),(9,1),(45,1),(49,1)}
        26:{1,4,5,7}:{(9,1),(11,1),(46,1),(50,1),(117,1),(193,1)}
        27:{1,5,6,7}:{(10,1),(49,1),(51,1),(101,1)}
        28:{2,4,6,7}:{(10,1),(11,1),(50,1),(51,1),(52,1),(102,1),(120,1)}
        29:{2,4,5,7}:{(12,1),(54,1),(55,1),(56,1),(59,1),(123,1),(127,1),(136,1),(196,1),(202,1),(252,1),(256,1)}
        30:{1,3,4,6}:{(12,1),(56,1),(57,1),(65,1),(128,1),(142,1),(204,1),(205,1),(258,1)}
        31:{1,3,4,7}:{(13,1),(59,1),(60,1),(68,1),(145,1),(262,1),(268,1),(291,1)}
        32:{2,3,5,7}:{(13,1),(59,1),(61,1),(62,1),(73,1),(127,1),(136,1),(147,1),(199,1),(218,1),(255,1)}
        33:{1,3,6}:{(13,1),(14,1),(62,1),(142,1),(221,1),(258,1)}
        34:{1,2,5,6}:{(14,1),(16,1),(63,1),(64,1),(76,1),(130,1),(136,1),(151,1),(203,1),(209,1),(297,1)}
        35:{1,3,5,6}:{(18,1),(64,1),(65,1),(142,1)}
        36:{2,3,6,7}:{(15,1),(17,1),(62,1),(66,1),(67,1),(78,1),(142,1),(194,1),(214,1)}
        37:{1,3,5,7}:{(15,1),(16,1),(63,1),(67,1),(68,1),(217,1),(267,1)}
        38:{1,4,6,7}:{(17,1),(66,1),(69,1),(135,1),(141,1),(144,1)}
        39:{2,5,7}:{(17,1),(18,1),(64,1),(69,1),(136,1)}
        40:{1,4,5,7}:{(18,1),(65,1),(68,1),(70,1),(137,1),(217,1)}
        41:{2,3,4,7}:{(19,1),(59,1),(71,1),(72,1),(80,1),(145,1),(199,1),(216,1),(224,1),(268,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(71,1),(73,1),(74,1),(149,1),(217,1)}
        43:{2,3,6}:{(19,1),(21,1),(74,1),(142,1),(214,1),(221,1)}
        44:{1,4,6}:{(20,1),(21,1),(74,1),(76,1)}
        45:{2,5,6}:{(21,1),(22,1),(25,1),(76,1),(136,1)}
        46:{1,4,5,6}:{(22,1),(26,1),(65,1),(77,1),(137,1),(152,1),(223,1)}
        47:{1,3,6,7}:{(23,1),(24,1),(74,1),(78,1),(79,1),(158,1)}
        48:{2,3,5,7}:{(23,1),(25,1),(75,1),(79,1),(80,1),(82,1),(157,1),(224,1)}
        49:{1,5,7}:{(24,1),(25,1),(76,1)}
        50:{2,4,5,7}:{(25,1),(26,1),(28,1),(77,1),(80,1),(81,1),(82,1),(155,1),(157,1)}
        51:{1,4,6,7}:{(27,1),(28,1),(81,1),(83,1),(141,1)}
        52:{3,6,7}:{(28,1),(82,1),(142,1)}
        53:{1,3,4,6,7}:{(30,1),(84,1),(85,1),(93,1),(159,1),(172,1),(227,1),(228,1),(273,1)}
        54:{2,3,5,7}:{(29,1),(86,1),(87,1),(88,1),(107,1),(165,1),(183,1),(273,1),(277,1)}
        55:{1,4,5,7}:{(29,1),(87,1),(89,1),(94,1),(161,1),(175,1),(227,1),(232,1)}
        56:{2,4,6}:{(29,1),(30,1),(88,1),(89,1),(90,1),(166,1)}
        57:{1,3,5,6}:{(30,1),(85,1),(90,1),(91,1),(96,1),(170,1)}
        58:{1,3,5,6,7}:{(35,1),(85,1),(92,1),(93,1),(172,1)}
        59:{2,4,7}:{(31,1),(32,1),(94,1),(95,1),(246,1),(276,1)}
        60:{1,3,4,6}:{(31,1),(33,1),(95,1),(96,1),(100,1),(179,1)}
        61:{1,3,5,7}:{(32,1),(94,1),(97,1),(98,1),(173,1),(175,1),(238,1)}
        62:{2,3,6}:{(32,1),(33,1),(95,1),(98,1),(111,1),(166,1)}
        63:{1,3,5,6}:{(33,1),(34,1),(37,1),(96,1),(99,1),(100,1),(238,1),(243,1),(283,1),(284,1)}
        64:{2,5,6}:{(35,1),(39,1),(101,1),(102,1)}
        65:{1,4,6}:{(35,1),(40,1),(102,1),(243,1)}
        66:{1,3,6,7}:{(36,1),(38,1),(98,1),(103,1),(104,1),(180,1)}
        67:{2,3,5,7}:{(36,1),(37,1),(39,1),(99,1),(104,1),(105,1),(107,1),(116,1),(183,1),(191,1),(226,1),(244,1),(273,1)}
        68:{1,4,7}:{(37,1),(100,1),(105,1)}
        69:{1,5,7}:{(38,1),(39,1),(101,1),(175,1)}
        70:{2,4,5,7}:{(39,1),(40,1),(102,1),(105,1),(106,1),(107,1),(176,1),(183,1)}
        71:{1,3,4,7}:{(41,1),(42,1),(94,1),(108,1),(109,1),(117,1),(173,1),(191,1),(245,1),(251,1)}
        72:{2,3,4,6}:{(41,1),(43,1),(95,1),(109,1),(110,1),(113,1),(179,1),(230,1),(242,1),(249,1),(276,1),(286,1)}
        73:{2,5,7}:{(42,1),(108,1),(111,1),(185,1)}
        74:{1,3,6}:{(42,1),(43,1),(44,1),(111,1),(243,1)}
        75:{2,3,5,6}:{(43,1),(45,1),(48,1),(110,1),(112,1),(113,1),(115,1),(190,1),(249,1)}
        76:{1,5,6}:{(44,1),(45,1),(49,1),(175,1)}
        77:{2,4,5,6}:{(45,1),(46,1),(50,1),(102,1),(113,1),(114,1),(115,1),(176,1),(188,1),(190,1)}
        78:{2,6,7}:{(47,1),(111,1),(116,1)}
        79:{1,3,5,7}:{(47,1),(48,1),(49,1),(112,1),(116,1),(117,1),(191,1),(193,1),(251,1)}
        80:{2,4,7}:{(48,1),(113,1),(117,1),(118,1)}
        81:{1,4,5,7}:{(49,1),(50,1),(51,1),(114,1),(117,1),(119,1)}
        82:{3,5,7}:{(50,1),(52,1),(115,1),(118,1),(191,1)}
        83:{1,3,6,7}:{(51,1),(52,1),(119,1),(120,1),(180,1)}
        84:{2,4,6,7}:{(53,1),(56,1),(121,1),(122,1),(123,1),(194,1),(196,1),(252,1)}
        85:{1,3,5,7}:{(53,1),(57,1),(123,1),(124,1),(198,1)}
        86:{2,3,4,7}:{(54,1),(59,1),(125,1),(126,1),(145,1),(147,1),(196,1),(216,1),(289,1),(291,1)}
        87:{1,3,5,7}:{(54,1),(55,1),(125,1),(127,1),(128,1),(201,1),(217,1)}
        88:{2,3,6}:{(54,1),(56,1),(128,1),(142,1),(214,1),(258,1)}
        89:{1,4,6}:{(55,1),(56,1),(128,1),(130,1)}
        90:{2,5,6}:{(56,1),(57,1),(123,1),(130,1),(136,1)}
        91:{1,4,5,6}:{(57,1),(65,1),(124,1),(131,1),(137,1),(204,1),(260,1)}
        92:{2,5,6,7}:{(58,1),(64,1),(123,1),(132,1),(133,1)}
        93:{1,4,6,7}:{(58,1),(65,1),(124,1),(133,1),(261,1)}
        94:{1,4,7}:{(59,1),(61,1),(135,1),(262,1)}
        95:{2,4,6}:{(59,1),(60,1),(62,1),(135,1),(136,1)}
        96:{1,3,5}:{(60,1),(136,1),(137,1),(211,1)}
        97:{1,2,5,7}:{(61,1),(73,1),(127,1),(134,1),(138,1),(209,1),(217,1)}
        98:{1,3,6}:{(61,1),(62,1),(135,1),(138,1)}
        99:{2,3,5,6}:{(62,1),(63,1),(64,1),(67,1),(136,1),(139,1),(140,1),(142,1),(151,1),(203,1),(211,1),(214,1),(218,1),(221,1),(255,1),(258,1),(264,1),(265,1)}
       100:{1,4,6}:{(63,1),(68,1),(137,1),(140,1),(262,1)}
       101:{1,5,6}:{(64,1),(69,1),(141,1)}
       102:{2,4,6}:{(64,1),(65,1),(70,1),(141,1),(142,1),(214,1)}
       103:{1,2,6,7}:{(66,1),(78,1),(138,1),(143,1),(158,1),(194,1),(214,1),(261,1)}
       104:{1,3,5,7}:{(66,1),(67,1),(69,1),(139,1),(143,1),(144,1),(215,1)}
       105:{2,4,7}:{(67,1),(68,1),(140,1),(144,1),(145,1)}
       106:{1,4,5,7}:{(69,1),(70,1),(141,1),(144,1),(146,1),(210,1)}
       107:{3,5,7}:{(70,1),(142,1),(145,1),(211,1)}
       108:{2,4,7}:{(71,1),(73,1),(147,1),(148,1),(272,1)}
       109:{1,3,4,6}:{(71,1),(72,1),(74,1),(135,1),(148,1),(149,1),(152,1),(208,1),(221,1),(262,1),(266,1),(268,1),(271,1),(298,1)}
       110:{2,3,5}:{(72,1),(136,1),(149,1),(150,1),(211,1),(264,1)}
       111:{2,6}:{(73,1),(74,1)}
       112:{1,3,5,6}:{(74,1),(75,1),(76,1),(79,1),(149,1),(151,1),(152,1),(221,1),(223,1),(271,1)}
       113:{2,4,6}:{(75,1),(80,1),(150,1),(152,1),(153,1)}
       114:{1,4,5,6}:{(76,1),(77,1),(81,1),(141,1),(152,1),(154,1),(210,1)}
       115:{3,5,6}:{(77,1),(82,1),(142,1),(153,1),(211,1),(221,1)}
       116:{2,5,7}:{(78,1),(79,1),(151,1),(155,1),(272,1)}
       117:{1,4,7}:{(79,1),(80,1),(152,1),(155,1)}
       118:{3,4,7}:{(80,1),(82,1),(153,1)}
       119:{1,3,5,7}:{(81,1),(82,1),(83,1),(154,1),(156,1),(157,1)}
       120:{2,6,7}:{(83,1),(157,1),(158,1),(214,1)}
       121:{2,3,6,7}:{(84,1),(88,1),(159,1),(160,1),(172,1),(237,1),(273,1)}
       122:{1,4,6,7}:{(84,1),(89,1),(159,1),(161,1),(227,1)}
       123:{2,5,7}:{(84,1),(85,1),(90,1),(161,1)}
       124:{1,4,5,7}:{(85,1),(91,1),(93,1),(162,1),(227,1),(275,1)}
       125:{1,3,4,7}:{(86,1),(87,1),(94,1),(163,1),(164,1),(173,1),(227,1),(245,1),(273,1),(300,1)}
       126:{2,3,4,6}:{(86,1),(88,1),(95,1),(164,1),(165,1),(168,1),(179,1),(184,1),(242,1),(246,1),(279,1),(301,1)}
       127:{2,5,7}:{(87,1),(163,1),(166,1),(231,1)}
       128:{1,3,6}:{(87,1),(88,1),(89,1),(166,1),(243,1)}
       129:{2,3,5,6}:{(88,1),(90,1),(160,1),(165,1),(167,1),(168,1),(170,1),(236,1),(279,1)}
       130:{1,5,6}:{(89,1),(90,1),(161,1),(175,1)}
       131:{2,4,5,6}:{(90,1),(91,1),(102,1),(162,1),(168,1),(169,1),(170,1),(176,1),(234,1),(236,1)}
       132:{1,5,6,7}:{(92,1),(101,1),(161,1),(171,1)}
       133:{2,4,6,7}:{(92,1),(93,1),(102,1),(162,1),(171,1),(172,1),(237,1)}
       134:{1,2,4,7}:{(94,1),(97,1),(108,1),(163,1),(173,1),(174,1),(245,1),(285,1)}
       135:{1,4,6}:{(94,1),(95,1),(98,1),(175,1)}
       136:{2,5}:{(95,1),(96,1),(175,1)}
       137:{1,4,5}:{(96,1),(100,1),(176,1),(283,1)}
       138:{1,2,6}:{(97,1),(98,1),(111,1),(166,1),(243,1)}
       139:{1,3,5,6}:{(98,1),(99,1),(101,1),(104,1),(175,1),(177,1),(178,1),(180,1),(238,1),(240,1),(241,1)}
       140:{2,4,6}:{(99,1),(100,1),(105,1),(176,1),(178,1),(179,1),(246,1),(276,1)}
       141:{1,4,6}:{(101,1),(102,1),(106,1),(180,1)}
       142:{3,6}:{(102,1),(107,1)}
       143:{1,2,5,7}:{(103,1),(104,1),(116,1),(177,1),(181,1),(183,1),(193,1),(226,1),(275,1)}
       144:{1,4,7}:{(104,1),(105,1),(178,1)}
       145:{3,4,7}:{(105,1),(107,1),(179,1),(191,1),(273,1)}
       146:{1,3,5,7}:{(106,1),(107,1),(180,1),(182,1),(183,1),(240,1)}
       147:{2,3,7}:{(108,1),(173,1),(184,1),(191,1)}
       148:{2,4,6}:{(108,1),(109,1),(111,1),(184,1),(185,1),(246,1),(288,1),(306,1)}
       149:{1,3,5}:{(109,1),(110,1),(175,1),(185,1),(186,1),(247,1),(283,1)}
       150:{2,4,5}:{(110,1),(113,1),(186,1),(187,1),(276,1)}
       151:{2,5,6}:{(111,1),(112,1),(116,1),(185,1),(188,1),(288,1)}
       152:{1,4,6}:{(112,1),(113,1),(117,1),(186,1),(188,1)}
       153:{3,4,6}:{(113,1),(115,1),(118,1),(187,1)}
       154:{1,3,5,6}:{(114,1),(115,1),(119,1),(180,1),(189,1),(190,1),(240,1)}
       155:{2,4,7}:{(116,1),(117,1),(188,1),(191,1)}
       156:{1,3,4,7}:{(117,1),(118,1),(119,1),(189,1),(191,1),(192,1),(251,1)}
       157:{2,5,7}:{(119,1),(120,1),(190,1),(192,1),(193,1)}
       158:{1,6,7}:{(120,1),(193,1),(243,1)}
       159:{1,3,6,7}:{(121,1),(122,1),(128,1),(194,1),(195,1),(261,1)}
       160:{2,3,5,7}:{(121,1),(123,1),(129,1),(195,1),(196,1),(198,1),(254,1),(289,1)}
       161:{1,5,7}:{(122,1),(123,1),(130,1)}
       162:{2,4,5,7}:{(123,1),(124,1),(131,1),(133,1),(196,1),(197,1),(198,1),(252,1),(254,1)}
       163:{2,4,7}:{(125,1),(127,1),(199,1),(200,1),(307,1)}
       164:{1,3,4,6}:{(125,1),(126,1),(128,1),(135,1),(200,1),(201,1),(204,1),(208,1),(258,1),(262,1),(266,1),(291,1),(294,1),(308,1)}
       165:{2,3,5}:{(126,1),(136,1),(201,1),(202,1),(211,1),(264,1)}
       166:{2,6}:{(127,1),(128,1)}
       167:{1,3,5,6}:{(128,1),(129,1),(130,1),(195,1),(201,1),(203,1),(204,1),(258,1),(260,1),(294,1)}
       168:{2,4,6}:{(129,1),(196,1),(202,1),(204,1),(205,1)}
       169:{1,4,5,6}:{(130,1),(131,1),(141,1),(197,1),(204,1),(206,1),(210,1)}
       170:{3,5,6}:{(131,1),(142,1),(198,1),(205,1),(211,1),(258,1)}
       171:{1,4,6,7}:{(132,1),(133,1),(141,1),(197,1),(207,1)}
       172:{3,6,7}:{(133,1),(142,1),(198,1)}
       173:{1,3,7}:{(134,1),(147,1),(199,1),(208,1)}
       174:{1,2,4,6}:{(134,1),(135,1),(138,1),(148,1),(200,1),(208,1),(209,1),(262,1),(266,1),(297,1),(310,1)}
       175:{1,5}:{(135,1),(136,1)}
       176:{2,4,5}:{(136,1),(137,1),(140,1),(210,1),(211,1),(264,1)}
       177:{1,2,5,6}:{(138,1),(139,1),(143,1),(151,1),(203,1),(209,1),(212,1),(214,1),(223,1),(260,1),(264,1)}
       178:{1,4,6}:{(139,1),(140,1),(144,1),(210,1),(262,1)}
       179:{3,4,6}:{(140,1),(142,1),(145,1),(211,1),(221,1),(258,1),(268,1),(291,1)}
       180:{1,3,6}:{(141,1),(142,1),(146,1),(214,1)}
       181:{1,2,4,7}:{(143,1),(144,1),(155,1),(212,1),(215,1),(216,1),(225,1),(252,1),(272,1),(290,1),(307,1)}
       182:{1,3,4,7}:{(144,1),(145,1),(146,1),(213,1),(215,1),(216,1)}
       183:{2,5,7}:{(146,1),(214,1),(216,1),(217,1),(264,1)}
       184:{2,3,6}:{(147,1),(148,1),(208,1),(218,1),(221,1),(311,1)}
       185:{2,5}:{(148,1),(149,1)}
       186:{1,4,5}:{(149,1),(150,1),(152,1),(219,1),(262,1)}
       187:{3,4,5}:{(150,1),(153,1),(211,1),(291,1)}
       188:{2,4,6}:{(151,1),(152,1),(155,1),(219,1),(221,1)}
       189:{1,3,4,6}:{(152,1),(153,1),(154,1),(156,1),(220,1),(221,1),(222,1),(271,1)}
       190:{2,5,6}:{(154,1),(157,1),(214,1),(222,1),(223,1),(264,1)}
       191:{3,7}:{(155,1),(221,1)}
       192:{2,4,7}:{(156,1),(157,1),(222,1),(224,1),(225,1),(272,1)}
       193:{1,5,7}:{(157,1),(158,1),(223,1),(225,1)}
       194:{2,6,7}:{(159,1),(166,1),(226,1)}
       195:{1,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(226,1),(227,1),(273,1),(275,1),(300,1)}
       196:{2,4,7}:{(160,1),(168,1),(227,1),(228,1)}
       197:{1,4,5,7}:{(161,1),(162,1),(169,1),(171,1),(227,1),(229,1)}
       198:{3,5,7}:{(162,1),(170,1),(172,1),(228,1),(273,1)}
       199:{2,3,7}:{(163,1),(173,1),(230,1),(273,1)}
       200:{2,4,6}:{(163,1),(164,1),(166,1),(230,1),(231,1),(276,1),(303,1),(312,1)}
       201:{1,3,5}:{(164,1),(165,1),(175,1),(231,1),(232,1),(277,1),(283,1)}
       202:{2,4,5}:{(165,1),(168,1),(232,1),(233,1),(246,1)}
       203:{2,5,6}:{(166,1),(167,1),(226,1),(231,1),(234,1),(303,1)}
       204:{1,4,6}:{(167,1),(168,1),(227,1),(232,1),(234,1)}
       205:{3,4,6}:{(168,1),(170,1),(228,1),(233,1)}
       206:{1,3,5,6}:{(169,1),(170,1),(180,1),(229,1),(235,1),(236,1),(240,1)}
       207:{1,3,6,7}:{(171,1),(172,1),(180,1),(229,1),(237,1)}
       208:{1,3,6}:{(173,1),(174,1),(184,1),(230,1),(238,1),(313,1)}
       209:{1,2,5}:{(174,1),(175,1),(185,1),(231,1),(238,1),(283,1)}
       210:{1,4,5}:{(175,1),(176,1),(178,1),(240,1)}
       211:{3,5}:{(176,1),(179,1)}
       212:{1,2,4,6}:{(177,1),(178,1),(181,1),(188,1),(234,1),(239,1),(241,1),(242,1),(250,1),(280,1),(288,1),(303,1)}
       213:{1,3,4,6}:{(178,1),(179,1),(180,1),(182,1),(240,1),(241,1),(242,1),(281,1)}
       214:{2,6}:{(180,1),(183,1),(243,1)}
       215:{1,3,7}:{(181,1),(191,1),(241,1),(244,1),(273,1)}
       216:{2,4,7}:{(182,1),(183,1),(242,1),(244,1),(245,1)}
       217:{1,5,7}:{(183,1),(243,1),(245,1),(283,1)}
       218:{2,3,5}:{(184,1),(185,1),(238,1),(246,1),(247,1)}
       219:{2,4,5}:{(185,1),(186,1),(188,1),(246,1),(247,1)}
       220:{1,3,4,5}:{(186,1),(187,1),(189,1),(240,1),(247,1),(248,1),(281,1),(287,1)}
       221:{3,6}:{(188,1),(191,1),(247,1)}
       222:{2,4,6}:{(189,1),(190,1),(192,1),(248,1),(249,1),(250,1),(288,1)}
       223:{1,5,6}:{(190,1),(193,1),(243,1),(250,1),(283,1)}
       224:{2,3,7}:{(191,1),(192,1),(249,1),(251,1)}
       225:{1,4,7}:{(192,1),(193,1),(250,1),(251,1)}
       226:{2,5,7}:{(194,1),(195,1),(203,1),(252,1),(307,1)}
       227:{1,4,7}:{(195,1),(196,1),(204,1),(252,1)}
       228:{3,4,7}:{(196,1),(198,1),(205,1)}
       229:{1,3,5,7}:{(197,1),(198,1),(206,1),(207,1),(253,1),(254,1)}
       230:{2,3,6}:{(199,1),(200,1),(208,1),(255,1),(258,1),(314,1)}
       231:{2,5}:{(200,1),(201,1)}
       232:{1,4,5}:{(201,1),(202,1),(204,1),(256,1),(262,1)}
       233:{3,4,5}:{(202,1),(205,1),(211,1),(268,1)}
       234:{2,4,6}:{(203,1),(204,1),(252,1),(256,1),(258,1)}
       235:{1,3,4,6}:{(204,1),(205,1),(206,1),(253,1),(257,1),(258,1),(259,1),(294,1)}
       236:{2,5,6}:{(206,1),(214,1),(254,1),(259,1),(260,1),(264,1)}
       237:{2,6,7}:{(207,1),(214,1),(254,1),(261,1)}
       238:{1,3,5}:{(208,1),(209,1),(218,1),(255,1),(262,1)}
       239:{1,2,4,5}:{(209,1),(210,1),(212,1),(219,1),(256,1),(262,1),(263,1),(264,1),(270,1),(293,1),(295,1),(299,1),(309,1),(310,1)}
       240:{1,3,5}:{(210,1),(211,1),(213,1),(264,1)}
       241:{1,3,6}:{(212,1),(215,1),(221,1),(258,1),(263,1),(265,1)}
       242:{2,4,6}:{(213,1),(214,1),(216,1),(264,1),(265,1),(266,1),(295,1)}
       243:{1,6}:{(214,1),(217,1)}
       244:{2,3,7}:{(215,1),(216,1),(265,1),(267,1),(272,1),(307,1)}
       245:{1,4,7}:{(216,1),(217,1),(266,1),(267,1)}
       246:{2,4}:{(218,1),(262,1),(268,1)}
       247:{3,5}:{(219,1),(221,1),(268,1)}
       248:{2,4,5}:{(220,1),(222,1),(264,1),(269,1),(270,1),(295,1),(299,1)}
       249:{2,3,6}:{(221,1),(222,1),(224,1),(269,1),(271,1)}
       250:{1,4,6}:{(222,1),(223,1),(225,1),(270,1),(271,1)}
       251:{1,3,7}:{(224,1),(225,1),(271,1),(272,1)}
       252:{2,4,7}:{(226,1),(227,1),(234,1),(273,1)}
       253:{1,3,4,7}:{(227,1),(228,1),(229,1),(235,1),(273,1),(274,1),(300,1)}
       254:{2,5,7}:{(229,1),(236,1),(237,1),(274,1),(275,1)}
       255:{2,3,5}:{(230,1),(231,1),(238,1),(276,1),(277,1)}
       256:{2,4,5}:{(231,1),(232,1),(234,1),(276,1),(277,1)}
       257:{1,3,4,5}:{(232,1),(233,1),(235,1),(240,1),(277,1),(278,1),(281,1),(302,1)}
       258:{3,6}:{(234,1),(273,1),(277,1)}
       259:{2,4,6}:{(235,1),(236,1),(274,1),(278,1),(279,1),(280,1),(303,1)}
       260:{1,5,6}:{(236,1),(243,1),(275,1),(280,1),(283,1)}
       261:{1,6,7}:{(237,1),(243,1),(275,1)}
       262:{1,4}:{(238,1),(246,1),(276,1)}
       263:{1,3,5}:{(239,1),(241,1),(247,1),(277,1),(281,1),(282,1),(313,1)}
       264:{2,5}:{(240,1),(242,1),(283,1)}
       265:{2,3,6}:{(241,1),(242,1),(244,1),(282,1),(284,1),(288,1),(303,1)}
       266:{1,4,6}:{(242,1),(243,1),(245,1),(283,1),(284,1),(304,1)}
       267:{1,3,7}:{(244,1),(245,1),(284,1),(285,1)}
       268:{3,4}:{(246,1),(247,1)}
       269:{2,3,5}:{(247,1),(248,1),(249,1),(286,1),(287,1)}
       270:{1,4,5}:{(248,1),(250,1),(283,1),(287,1),(304,1)}
       271:{1,3,6}:{(249,1),(250,1),(251,1),(287,1),(288,1)}
       272:{2,7}:{(251,1),(288,1)}
       273:{3,7}:{(252,1),(258,1)}
       274:{2,4,7}:{(253,1),(254,1),(259,1),(289,1),(290,1),(307,1)}
       275:{1,5,7}:{(254,1),(260,1),(261,1),(290,1)}
       276:{2,4}:{(255,1),(262,1),(291,1)}
       277:{3,5}:{(256,1),(258,1),(291,1)}
       278:{2,4,5}:{(257,1),(259,1),(264,1),(292,1),(293,1),(295,1),(309,1)}
       279:{2,3,6}:{(258,1),(259,1),(289,1),(292,1),(294,1)}
       280:{1,4,6}:{(259,1),(260,1),(290,1),(293,1),(294,1)}
       281:{1,3,4}:{(262,1),(263,1),(268,1),(291,1),(295,1)}
       282:{2,3,5}:{(263,1),(264,1),(265,1),(295,1),(296,1),(299,1),(309,1),(311,1),(314,1)}
       283:{1,5}:{(264,1),(266,1)}
       284:{1,3,6}:{(265,1),(266,1),(267,1),(296,1),(297,1)}
       285:{1,2,7}:{(267,1),(272,1),(297,1),(307,1)}
       286:{2,3,4}:{(268,1),(269,1),(295,1),(298,1),(314,1)}
       287:{1,3,5}:{(269,1),(270,1),(271,1),(298,1),(299,1)}
       288:{2,6}:{(271,1),(272,1),(299,1)}
       289:{2,3,7}:{(273,1),(274,1),(279,1),(300,1)}
       290:{1,4,7}:{(274,1),(275,1),(280,1),(300,1)}
       291:{3,4}:{(276,1),(277,1)}
       292:{2,3,5}:{(277,1),(278,1),(279,1),(301,1),(302,1)}
       293:{1,4,5}:{(278,1),(280,1),(283,1),(302,1),(304,1)}
       294:{1,3,6}:{(279,1),(280,1),(300,1),(302,1),(303,1)}
       295:{2,4}:{(281,1),(282,1),(304,1)}
       296:{1,3,5}:{(282,1),(283,1),(284,1),(304,1),(305,1),(313,1)}
       297:{1,2,6}:{(284,1),(285,1),(288,1),(303,1),(305,1)}
       298:{1,3,4}:{(286,1),(287,1),(304,1),(306,1),(313,1)}
       299:{2,5}:{(287,1),(288,1),(306,1)}
       300:{1,3,7}:{(289,1),(290,1),(294,1),(307,1)}
       301:{2,3,4}:{(291,1),(292,1),(295,1),(308,1),(311,1)}
       302:{1,3,5}:{(292,1),(293,1),(294,1),(308,1),(309,1)}
       303:{2,6}:{(294,1),(307,1),(309,1)}
       304:{1,4}:{(295,1),(296,1)}
       305:{1,2,5}:{(296,1),(297,1),(299,1),(309,1),(310,1)}
       306:{2,4}:{(298,1),(299,1),(311,1)}
       307:{2,7}:{(300,1),(303,1)}
       308:{1,3,4}:{(301,1),(302,1),(304,1),(312,1),(313,1)}
       309:{2,5}:{(302,1),(303,1),(312,1)}
       310:{1,2,4}:{(304,1),(305,1),(306,1),(312,1),(313,1)}
       311:{2,3}:{(306,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

2381 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2382 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(43,1),(99,1),(127,1),(176,1),(183,1),(186,1),(217,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(27,1),(29,1),(144,1),(151,1),(237,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(39,1),(75,1),(90,1),(154,1),(170,1),(172,1),(234,1),(264,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(69,1),(139,1),(222,1),(235,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(49,1),(286,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(196,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(129,1),(214,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(58,1),(62,1),(129,1),(215,1),(308,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(49,1),(111,1),(128,1),(284,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(266,1),(280,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(56,1),(101,1),(183,1),(210,1),(217,1),(270,1),(285,1)}
        11:{1,2,3,6,7}:{(4,1),(24,1),(25,1),(77,1),(144,1),(147,1),(230,1),(239,1),(331,1),(391,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(23,1),(26,1),(27,1),(154,1),(243,1)}
        13:{1,2,3,5,6}:{(4,1),(24,1),(28,1),(29,1),(73,1),(76,1),(79,1),(147,1),(151,1),(157,1),(230,1),(247,1),(325,1),(334,1),(389,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(26,1),(29,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(27,1),(29,1),(30,1),(67,1),(75,1),(81,1),(154,1),(234,1),(237,1),(244,1),(335,1)}
        16:{2,3,4,6}:{(6,1),(26,1),(34,1),(35,1),(91,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(27,1),(34,1),(35,1),(262,1),(345,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(36,1),(38,1),(39,1),(93,1),(326,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(37,1),(39,1),(77,1),(86,1),(154,1),(165,1),(172,1),(260,1),(264,1),(330,1)}
        21:{2,4,5,6}:{(9,1),(38,1),(40,1),(41,1),(139,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(312,1),(327,1)}
        23:{2,3,4,7}:{(12,1),(42,1),(43,1),(183,1),(274,1)}
        24:{1,2,3,5,7}:{(11,1),(13,1),(45,1),(46,1),(105,1),(112,1),(202,1),(294,1),(367,1),(408,1)}
        25:{1,2,4,6,7}:{(11,1),(14,1),(44,1),(45,1),(46,1),(106,1),(189,1),(279,1),(285,1),(286,1)}
        26:{1,3,4,6}:{(12,1),(14,1),(16,1),(42,1),(48,1),(49,1),(111,1)}
        27:{1,3,5,7}:{(12,1),(15,1),(17,1),(43,1),(48,1),(49,1),(291,1),(367,1)}
        28:{1,2,4,6}:{(13,1),(45,1),(50,1),(51,1),(111,1),(196,1),(198,1),(407,1)}
        29:{1,2,5}:{(14,1),(48,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(49,1),(52,1),(98,1),(111,1),(284,1),(286,1)}
        31:{2,3,4,6,7}:{(16,1),(44,1),(54,1),(60,1),(104,1),(121,1),(129,1),(191,1),(209,1),(285,1),(349,1),(405,1),(424,1)}
        32:{2,3,5,6,7}:{(22,1),(55,1),(56,1),(119,1),(204,1),(210,1)}
        33:{2,3,4,5,7}:{(17,1),(47,1),(57,1),(58,1),(120,1),(126,1),(129,1),(181,1),(186,1),(277,1)}
        34:{2,3,5}:{(16,1),(48,1),(58,1)}
        35:{2,3,6}:{(17,1),(18,1),(49,1)}
        36:{2,5,6}:{(18,1),(19,1),(62,1)}
        37:{2,4,6,7}:{(18,1),(20,1),(60,1),(62,1),(129,1),(306,1),(308,1)}
        38:{1,4,5,6}:{(19,1),(21,1),(61,1),(64,1),(111,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(22,1),(62,1),(64,1),(131,1),(363,1)}
        40:{3,4,5,6}:{(21,1),(65,1),(182,1),(266,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(56,1),(64,1),(65,1),(183,1)}
        42:{2,3,4,6}:{(23,1),(26,1),(68,1),(69,1),(139,1)}
        43:{2,3,5,7}:{(23,1),(27,1),(67,1),(68,1),(69,1),(320,1),(386,1)}
        44:{1,3,4,6,7}:{(25,1),(26,1),(31,1),(66,1),(70,1),(71,1),(77,1),(142,1),(145,1),(147,1),(154,1),(238,1),(324,1),(330,1),(391,1),(419,1)}
        45:{1,2,4,7}:{(24,1),(28,1),(71,1),(154,1),(246,1),(419,1)}
        46:{1,2,5,7}:{(25,1),(29,1),(70,1),(73,1),(325,1),(327,1)}
        47:{1,3,4,5,7}:{(27,1),(33,1),(67,1),(74,1),(75,1),(138,1),(150,1),(154,1),(227,1),(229,1),(234,1),(322,1)}
        48:{1,3,5}:{(26,1),(29,1),(34,1),(68,1),(75,1)}
        49:{1,3,6}:{(27,1),(30,1),(35,1),(69,1)}
        50:{1,3,4,6}:{(28,1),(71,1),(78,1),(79,1),(147,1),(243,1),(334,1)}
        51:{1,2,4,5}:{(28,1),(29,1),(75,1),(79,1),(152,1),(325,1),(388,1)}
        52:{1,2,5,6}:{(29,1),(30,1),(36,1),(76,1),(81,1),(136,1),(326,1)}
        53:{1,2,4,6,7}:{(30,1),(37,1),(77,1),(81,1),(137,1),(154,1),(330,1),(331,1),(335,1)}
        54:{2,3,5,7}:{(31,1),(34,1),(70,1),(83,1),(84,1),(255,1),(327,1),(379,1)}
        55:{1,3,5,6,7}:{(32,1),(39,1),(85,1),(86,1),(165,1),(252,1),(260,1)}
        56:{2,4,6,7}:{(32,1),(41,1),(86,1),(87,1)}
        57:{2,3,4,6}:{(33,1),(35,1),(74,1),(88,1),(91,1),(163,1),(235,1)}
        58:{2,4,5}:{(34,1),(75,1),(90,1),(91,1)}
        59:{2,3,5,6}:{(34,1),(35,1),(36,1),(76,1),(91,1),(92,1),(93,1)}
        60:{2,3,6,7}:{(35,1),(37,1),(77,1),(92,1),(165,1),(345,1)}
        61:{2,4,5,6}:{(36,1),(38,1),(91,1),(93,1),(94,1)}
        62:{2,5,7}:{(36,1),(37,1),(39,1)}
        63:{1,3,4,5,6}:{(38,1),(40,1),(93,1),(95,1),(96,1),(153,1),(173,1),(231,1),(249,1),(336,1),(393,1)}
        64:{1,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(94,1),(154,1)}
        65:{3,4,5,7}:{(40,1),(41,1),(87,1),(229,1),(312,1)}
        66:{2,3,4,6,7}:{(42,1),(44,1),(97,1),(101,1),(104,1),(177,1),(183,1),(191,1),(270,1),(285,1),(300,1),(374,1),(411,1)}
        67:{2,4,5,7}:{(43,1),(47,1),(98,1),(99,1),(180,1),(183,1),(275,1),(359,1)}
        68:{2,3,5}:{(42,1),(48,1),(99,1)}
        69:{2,3,6}:{(43,1),(49,1),(98,1)}
        70:{1,3,5,7}:{(44,1),(46,1),(48,1),(54,1),(97,1),(102,1),(103,1),(361,1),(363,1)}
        71:{1,3,4,7}:{(45,1),(50,1),(104,1),(105,1),(367,1)}
        72:{1,2,4,5,7}:{(45,1),(46,1),(51,1),(102,1),(105,1),(106,1),(186,1)}
        73:{1,2,5,6}:{(46,1),(103,1),(106,1),(280,1),(286,1)}
        74:{1,3,4,6}:{(47,1),(49,1),(57,1),(98,1),(108,1),(111,1),(182,1),(284,1)}
        75:{1,4,5}:{(48,1),(58,1),(99,1),(111,1)}
        76:{1,3,5,6}:{(48,1),(49,1),(52,1),(59,1),(100,1),(111,1),(112,1)}
        77:{1,3,6,7}:{(49,1),(53,1),(60,1),(101,1),(112,1),(367,1)}
        78:{2,3,4,6}:{(50,1),(104,1),(114,1),(115,1),(191,1),(198,1),(214,1),(274,1),(307,1),(358,1)}
        79:{1,3,5}:{(50,1),(51,1),(115,1)}
        80:{1,2,4,5,6}:{(51,1),(52,1),(61,1),(106,1),(111,1),(116,1),(117,1),(132,1),(179,1),(184,1),(198,1),(218,1),(280,1),(289,1),(292,1),(356,1),(362,1),(368,1),(399,1),(407,1)}
        81:{1,2,5,7}:{(52,1),(53,1),(62,1),(112,1),(180,1),(363,1)}
        82:{2,4,5,6,7}:{(56,1),(118,1),(119,1),(204,1),(267,1),(370,1)}
        83:{2,4,5,7}:{(54,1),(58,1),(102,1),(120,1),(121,1),(129,1),(402,1),(424,1)}
        84:{2,3,5,6}:{(54,1),(103,1),(121,1),(191,1),(205,1),(280,1)}
        85:{2,5,6,7}:{(55,1),(62,1),(123,1),(306,1)}
        86:{1,4,6,7}:{(55,1),(56,1),(64,1),(123,1)}
        87:{3,4,6,7}:{(56,1),(65,1),(119,1)}
        88:{2,3,5,6}:{(57,1),(108,1),(125,1),(126,1),(205,1),(280,1)}
        89:{2,3,4,6,7}:{(57,1),(60,1),(109,1),(126,1),(129,1),(209,1),(212,1),(277,1),(285,1),(355,1)}
        90:{3,4,5}:{(58,1),(128,1)}
        91:{2,4,6}:{(58,1),(59,1),(111,1),(128,1),(129,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(62,1),(112,1),(129,1),(131,1)}
        93:{3,5,6}:{(61,1),(128,1),(131,1)}
        94:{2,4,5,7}:{(61,1),(62,1),(64,1),(123,1),(129,1),(131,1)}
        95:{2,4,5,6}:{(63,1),(130,1),(132,1),(133,1),(198,1),(218,1),(280,1)}
        96:{1,3,4,5,7}:{(63,1),(64,1),(65,1),(124,1),(131,1),(133,1),(199,1),(219,1),(281,1),(296,1),(369,1),(410,1)}
        97:{2,3,5,7}:{(66,1),(68,1),(70,1),(134,1),(135,1),(312,1),(327,1),(340,1)}
        98:{2,4,6}:{(67,1),(69,1),(74,1),(136,1)}
        99:{2,4,5}:{(68,1),(75,1),(138,1),(139,1)}
       100:{2,3,5,6}:{(68,1),(69,1),(76,1),(136,1),(139,1),(140,1),(225,1)}
       101:{2,3,6,7}:{(69,1),(77,1),(137,1),(140,1),(317,1),(386,1)}
       102:{1,4,5,7}:{(70,1),(75,1),(83,1),(134,1),(142,1),(154,1),(388,1),(419,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(84,1),(135,1),(142,1),(147,1),(238,1),(326,1)}
       104:{2,3,4,7}:{(71,1),(78,1),(145,1),(146,1),(246,1),(345,1),(386,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(79,1),(146,1),(147,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(142,1),(147,1),(235,1)}
       107:{1,2,5,6,7}:{(73,1),(81,1),(85,1),(143,1),(148,1),(224,1),(252,1),(327,1),(331,1),(339,1),(387,1),(390,1),(416,1)}
       108:{1,3,5,6}:{(74,1),(88,1),(136,1),(149,1),(150,1),(225,1),(326,1)}
       109:{1,3,4,6,7}:{(74,1),(77,1),(89,1),(137,1),(150,1),(154,1),(229,1),(240,1),(317,1),(322,1),(330,1),(384,1)}
       110:{1,3,4,5}:{(75,1),(79,1),(90,1),(138,1),(152,1),(153,1),(388,1),(392,1),(413,1)}
       111:{1,4,6}:{(75,1),(76,1),(91,1),(139,1),(154,1)}
       112:{1,3,5,7}:{(76,1),(77,1),(81,1),(92,1),(140,1),(154,1)}
       113:{1,2,3,6}:{(144,1),(151,1),(155,1),(334,1)}
       114:{1,3,4,6}:{(78,1),(145,1),(155,1),(156,1),(238,1),(243,1),(245,1),(334,1)}
       115:{2,3,5}:{(78,1),(79,1),(152,1),(156,1)}
       116:{1,3,5,6}:{(79,1),(80,1),(93,1),(147,1),(153,1),(157,1),(158,1),(225,1),(334,1),(393,1),(414,1)}
       117:{1,2,4,5,7}:{(80,1),(81,1),(94,1),(148,1),(154,1),(158,1),(175,1),(226,1),(232,1),(246,1),(265,1),(327,1),(333,1),(335,1),(385,1),(390,1),(394,1),(415,1),(419,1)}
       118:{1,4,5,6,7}:{(82,1),(86,1),(159,1),(160,1),(232,1),(252,1),(338,1)}
       119:{3,5,6,7}:{(82,1),(87,1),(312,1),(395,1)}
       120:{3,4,5,7}:{(83,1),(90,1),(163,1),(172,1),(255,1),(413,1),(426,1)}
       121:{2,4,6}:{(83,1),(84,1),(142,1),(163,1)}
       122:{2,3,5,6,7}:{(84,1),(85,1),(92,1),(143,1),(164,1),(165,1),(239,1),(255,1),(327,1),(416,1),(418,1),(425,1)}
       123:{2,4,6,7}:{(85,1),(86,1),(94,1),(165,1)}
       124:{1,3,4,6,7}:{(86,1),(87,1),(96,1),(160,1),(165,1),(166,1),(250,1),(260,1),(338,1),(395,1)}
       125:{2,4,5,6}:{(88,1),(91,1),(149,1),(168,1),(169,1)}
       126:{2,3,5,7}:{(88,1),(89,1),(150,1),(169,1),(255,1),(327,1)}
       127:{2,3,4,5}:{(90,1),(152,1),(170,1),(171,1),(320,1),(392,1)}
       128:{3,4,6}:{(90,1),(91,1),(93,1),(172,1)}
       129:{2,4,7}:{(91,1),(92,1),(154,1),(172,1)}
       130:{2,3,5,6}:{(93,1),(95,1),(171,1),(173,1),(174,1),(393,1)}
       131:{3,5,7}:{(93,1),(94,1),(165,1),(172,1)}
       132:{1,4,5,6}:{(95,1),(173,1),(175,1),(245,1),(326,1)}
       133:{2,4,5,7}:{(95,1),(96,1),(166,1),(174,1),(175,1),(246,1),(265,1),(327,1)}
       134:{2,4,5,7}:{(97,1),(99,1),(102,1),(176,1),(177,1),(183,1),(371,1),(411,1)}
       135:{2,3,5,6}:{(97,1),(103,1),(177,1),(191,1),(266,1),(280,1)}
       136:{2,5,6}:{(98,1),(108,1),(180,1)}
       137:{2,4,6,7}:{(98,1),(101,1),(109,1),(180,1),(183,1),(359,1),(406,1)}
       138:{3,4,5}:{(99,1),(182,1)}
       139:{2,4,6}:{(99,1),(100,1),(111,1),(182,1),(183,1)}
       140:{2,3,5,7}:{(100,1),(101,1),(112,1),(180,1),(183,1),(273,1)}
       141:{1,3,4,5,7}:{(102,1),(105,1),(110,1),(120,1),(176,1),(186,1),(187,1),(199,1),(281,1)}
       142:{1,4,6}:{(102,1),(103,1),(121,1),(177,1)}
       143:{1,3,5,6,7}:{(103,1),(107,1),(112,1),(122,1),(178,1),(188,1),(192,1),(281,1),(287,1),(363,1),(408,1)}
       144:{1,2,3,7}:{(113,1),(189,1),(367,1)}
       145:{1,3,4,7}:{(104,1),(114,1),(189,1),(190,1),(293,1),(367,1)}
       146:{2,3,5,7}:{(104,1),(105,1),(115,1),(186,1),(190,1),(191,1)}
       147:{1,3,6}:{(105,1),(106,1),(191,1)}
       148:{1,2,4,6,7}:{(106,1),(107,1),(117,1),(123,1),(188,1),(192,1),(211,1),(271,1),(285,1),(306,1),(366,1),(370,1),(406,1),(421,1)}
       149:{1,4,5,6}:{(108,1),(111,1),(125,1),(179,1),(195,1)}
       150:{1,3,5,7}:{(108,1),(109,1),(126,1),(180,1),(195,1),(273,1),(363,1)}
       151:{1,2,3,5}:{(113,1),(196,1),(200,1),(291,1)}
       152:{2,4,5}:{(110,1),(115,1),(197,1),(198,1)}
       153:{1,3,4,6}:{(110,1),(111,1),(116,1),(128,1),(182,1),(198,1),(199,1),(407,1),(409,1),(422,1)}
       154:{1,4,7}:{(111,1),(112,1),(129,1),(183,1)}
       155:{1,2,4,6}:{(113,1),(114,1),(189,1),(196,1),(200,1),(286,1)}
       156:{1,3,5}:{(114,1),(115,1),(197,1),(200,1)}
       157:{2,3,5,6}:{(115,1),(116,1),(191,1),(198,1),(201,1),(202,1),(218,1),(280,1),(307,1),(356,1),(358,1)}
       158:{1,3,5,7}:{(116,1),(117,1),(131,1),(192,1),(199,1),(202,1),(273,1),(367,1),(410,1),(423,1)}
       159:{2,4,5,6,7}:{(118,1),(123,1),(203,1),(204,1),(206,1),(297,1)}
       160:{1,3,5,6,7}:{(118,1),(119,1),(124,1),(203,1),(204,1),(281,1)}
       161:{2,4,5,6}:{(121,1),(184,1),(205,1),(206,1),(280,1)}
       162:{2,3,4,5,7}:{(120,1),(127,1),(186,1),(207,1),(208,1),(217,1),(302,1),(352,1),(402,1),(424,1)}
       163:{3,4,6}:{(120,1),(121,1),(205,1)}
       164:{2,4,6,7}:{(121,1),(122,1),(129,1),(188,1),(206,1),(209,1),(424,1)}
       165:{3,6,7}:{(123,1),(131,1)}
       166:{2,4,6,7}:{(124,1),(133,1),(204,1),(210,1),(211,1),(306,1)}
       167:{2,3,5,6,7}:{(126,1),(193,1),(212,1),(299,1),(355,1),(360,1)}
       168:{3,4,5,6}:{(125,1),(128,1),(205,1),(213,1)}
       169:{2,4,5,7}:{(125,1),(126,1),(129,1),(195,1),(212,1),(213,1)}
       170:{1,3,4,5}:{(127,1),(197,1),(215,1),(216,1),(291,1)}
       171:{2,3,4,6}:{(127,1),(128,1),(130,1),(198,1),(216,1),(217,1),(358,1),(409,1)}
       172:{3,4,7}:{(128,1),(129,1),(131,1)}
       173:{1,3,5,6}:{(130,1),(132,1),(216,1),(218,1),(219,1)}
       174:{2,3,5,7}:{(130,1),(131,1),(133,1),(210,1),(217,1),(219,1),(410,1)}
       175:{1,4,5,7}:{(132,1),(133,1),(211,1),(219,1),(293,1),(363,1)}
       176:{3,4,5,7}:{(134,1),(138,1),(222,1),(229,1),(312,1),(392,1),(420,1)}
       177:{2,4,6}:{(134,1),(135,1),(142,1),(222,1)}
       178:{2,3,5,6,7}:{(135,1),(140,1),(143,1),(223,1),(224,1),(239,1),(312,1),(317,1),(327,1),(339,1),(395,1),(397,1)}
       179:{2,4,5,6}:{(136,1),(139,1),(149,1),(225,1),(226,1)}
       180:{2,5,7}:{(136,1),(137,1),(150,1)}
       181:{2,3,4,5}:{(138,1),(152,1),(227,1),(228,1),(262,1),(413,1)}
       182:{3,4,6}:{(138,1),(139,1),(225,1),(229,1)}
       183:{2,4,7}:{(139,1),(140,1),(154,1),(229,1)}
       184:{1,4,5,6}:{(142,1),(161,1),(220,1),(231,1),(232,1),(326,1)}
       185:{1,2,3,5,7}:{(144,1),(151,1),(230,1),(233,1),(237,1),(325,1),(328,1)}
       186:{2,4,5,7}:{(141,1),(146,1),(152,1),(234,1),(235,1),(246,1),(327,1)}
       187:{1,3,4,6}:{(141,1),(142,1),(147,1),(163,1),(222,1),(231,1),(235,1)}
       188:{1,4,6,7}:{(142,1),(143,1),(154,1),(164,1),(223,1),(232,1),(419,1)}
       189:{1,2,4,7}:{(144,1),(145,1),(155,1),(237,1)}
       190:{1,3,5,7}:{(145,1),(146,1),(156,1),(234,1),(237,1),(238,1)}
       191:{2,3,6}:{(146,1),(147,1),(235,1),(238,1)}
       192:{1,3,6,7}:{(147,1),(148,1),(158,1),(165,1),(239,1),(317,1),(395,1),(425,1)}
       193:{1,3,5,6,7}:{(150,1),(167,1),(224,1),(240,1),(317,1),(384,1),(387,1)}
       194:{1,3,4,5,6}:{(149,1),(153,1),(168,1),(225,1),(231,1),(241,1),(242,1),(309,1),(318,1),(376,1),(414,1)}
       195:{1,4,5,7}:{(149,1),(150,1),(154,1),(169,1),(226,1),(240,1)}
       196:{1,2,4}:{(151,1),(243,1)}
       197:{1,4,5}:{(152,1),(156,1),(245,1)}
       198:{2,4,6}:{(152,1),(153,1),(157,1),(245,1),(246,1)}
       199:{1,3,4,7}:{(153,1),(154,1),(158,1),(172,1),(229,1),(246,1),(419,1),(420,1),(426,1)}
       200:{1,2,5}:{(155,1),(156,1)}
       201:{1,3,5,6}:{(156,1),(157,1),(238,1),(245,1),(247,1),(248,1),(326,1),(334,1)}
       202:{2,3,5,7}:{(157,1),(158,1),(239,1),(246,1),(248,1),(265,1),(327,1),(345,1),(385,1),(386,1)}
       203:{3,5,6,7}:{(159,1),(165,1),(250,1),(255,1)}
       204:{2,5,6,7}:{(160,1),(166,1),(252,1),(327,1)}
       205:{3,5,6}:{(161,1),(163,1),(255,1)}
       206:{2,4,5,7}:{(161,1),(164,1),(232,1),(255,1),(327,1)}
       207:{1,3,4,5,7}:{(162,1),(170,1),(234,1),(257,1),(258,1),(264,1),(328,1),(342,1),(388,1),(392,1),(419,1),(420,1)}
       208:{2,3,4,6}:{(162,1),(163,1),(235,1),(254,1),(258,1),(382,1),(417,1)}
       209:{3,4,6,7}:{(163,1),(164,1),(165,1),(172,1),(255,1),(425,1),(426,1)}
       210:{2,3,6,7}:{(165,1),(166,1),(174,1),(260,1),(395,1)}
       211:{1,4,6,7}:{(166,1),(175,1),(252,1),(260,1)}
       212:{2,4,6,7}:{(167,1),(169,1),(240,1),(261,1)}
       213:{3,4,5,7}:{(168,1),(169,1),(172,1),(255,1),(261,1)}
       214:{2,3,4}:{(243,1),(262,1)}
       215:{2,4,5}:{(170,1),(262,1),(263,1)}
       216:{1,3,4,6}:{(170,1),(171,1),(173,1),(245,1),(263,1),(264,1),(334,1)}
       217:{2,3,4,7}:{(171,1),(172,1),(174,1),(246,1),(264,1),(386,1),(420,1)}
       218:{2,5,6}:{(173,1),(263,1),(265,1)}
       219:{1,3,5,7}:{(173,1),(174,1),(175,1),(260,1),(264,1),(265,1)}
       220:{2,4,5,6}:{(177,1),(184,1),(266,1),(267,1),(280,1)}
       221:{2,3,4,5,7}:{(176,1),(181,1),(186,1),(268,1),(269,1),(277,1),(303,1),(351,1),(371,1),(411,1)}
       222:{3,4,6}:{(176,1),(177,1),(266,1)}
       223:{2,4,6,7}:{(177,1),(178,1),(183,1),(188,1),(267,1),(270,1),(411,1)}
       224:{2,5,6,7}:{(180,1),(193,1),(271,1),(406,1)}
       225:{3,5,6}:{(179,1),(182,1),(273,1)}
       226:{2,4,5,7}:{(179,1),(180,1),(183,1),(195,1),(271,1),(273,1)}
       227:{1,3,4,5}:{(181,1),(197,1),(275,1),(276,1),(291,1)}
       228:{2,3,4,6}:{(181,1),(182,1),(198,1),(272,1),(276,1),(277,1),(307,1),(422,1)}
       229:{3,4,7}:{(182,1),(183,1),(273,1)}
       230:{1,2,3,6}:{(185,1),(279,1),(286,1),(364,1)}
       231:{1,3,5,6}:{(184,1),(187,1),(205,1),(266,1),(280,1),(281,1)}
       232:{1,4,5,7}:{(184,1),(188,1),(206,1),(267,1),(281,1),(363,1)}
       233:{1,2,4,7}:{(185,1),(196,1),(279,1),(282,1)}
       234:{1,4,5,7}:{(186,1),(190,1),(197,1),(284,1),(293,1),(363,1)}
       235:{2,4,6}:{(186,1),(187,1),(191,1),(280,1),(284,1)}
       236:{1,3,4,6,7}:{(187,1),(188,1),(192,1),(199,1),(209,1),(270,1),(281,1),(285,1)}
       237:{1,2,5,7}:{(189,1),(190,1),(200,1),(286,1)}
       238:{1,3,6}:{(190,1),(191,1),(284,1),(286,1)}
       239:{2,3,6,7}:{(191,1),(192,1),(202,1),(285,1),(287,1),(306,1),(406,1)}
       240:{1,4,6,7}:{(193,1),(195,1),(212,1),(271,1)}
       241:{2,4,5,6}:{(194,1),(198,1),(272,1),(280,1),(289,1),(290,1),(356,1)}
       242:{1,3,4,5,7}:{(194,1),(195,1),(199,1),(213,1),(273,1),(281,1),(288,1),(290,1),(347,1),(357,1),(400,1),(423,1)}
       243:{1,3,4}:{(196,1),(214,1),(274,1),(291,1)}
       244:{1,2,4,5}:{(196,1),(197,1),(200,1),(215,1),(275,1),(291,1),(292,1)}
       245:{1,4,6}:{(197,1),(198,1),(201,1),(293,1)}
       246:{2,4,7}:{(198,1),(199,1),(202,1),(293,1)}
       247:{1,2,5,6}:{(200,1),(201,1),(218,1),(286,1),(292,1),(294,1),(356,1)}
       248:{1,3,5,7}:{(201,1),(202,1),(287,1),(293,1),(294,1),(363,1),(367,1)}
       249:{3,4,5,6}:{(205,1),(295,1),(296,1),(422,1)}
       250:{3,4,6,7}:{(203,1),(296,1),(297,1)}
       251:{2,3,5,6,7}:{(203,1),(204,1),(210,1),(297,1),(298,1),(302,1)}
       252:{1,5,6,7}:{(204,1),(211,1),(363,1)}
       253:{2,4,5,6,7}:{(206,1),(212,1),(278,1),(299,1),(360,1),(421,1)}
       254:{2,3,5,6}:{(205,1),(208,1),(280,1),(295,1),(301,1),(302,1)}
       255:{3,5,7}:{(205,1),(206,1),(209,1)}
       256:{2,3,4,7}:{(214,1),(282,1),(300,1),(303,1),(411,1)}
       257:{2,4,5,7}:{(207,1),(215,1),(303,1),(304,1),(308,1),(371,1),(373,1),(411,1)}
       258:{1,3,4,6}:{(207,1),(208,1),(284,1),(301,1),(304,1),(364,1),(407,1),(409,1)}
       259:{2,3,4,6,7}:{(208,1),(209,1),(210,1),(217,1),(285,1),(297,1),(302,1),(305,1),(405,1),(424,1)}
       260:{1,3,6,7}:{(210,1),(211,1),(219,1),(306,1)}
       261:{3,4,6,7}:{(212,1),(213,1),(299,1)}
       262:{2,3,5}:{(214,1),(215,1),(291,1),(307,1)}
       263:{2,4,6}:{(215,1),(216,1),(218,1),(307,1),(308,1)}
       264:{1,3,4,7}:{(216,1),(217,1),(219,1),(293,1),(308,1),(367,1)}
       265:{2,5,7}:{(218,1),(219,1),(306,1),(308,1)}
       266:{3,5,6}:{(220,1),(222,1),(312,1)}
       267:{2,4,5,7}:{(220,1),(223,1),(232,1),(312,1),(327,1)}
       268:{1,3,4,5,7}:{(221,1),(227,1),(234,1),(314,1),(315,1),(322,1),(328,1),(381,1),(388,1),(413,1),(419,1),(426,1)}
       269:{2,3,4,6}:{(221,1),(222,1),(235,1),(311,1),(315,1),(343,1),(396,1)}
       270:{3,4,6,7}:{(222,1),(223,1),(229,1),(312,1),(317,1),(395,1),(420,1)}
       271:{2,4,6,7}:{(224,1),(226,1),(240,1),(317,1)}
       272:{2,3,5,6}:{(225,1),(228,1),(241,1),(318,1),(319,1),(414,1)}
       273:{3,5,7}:{(225,1),(226,1),(229,1),(317,1)}
       274:{2,3,4}:{(243,1),(320,1)}
       275:{2,4,5}:{(227,1),(320,1),(321,1)}
       276:{1,3,4,6}:{(227,1),(228,1),(245,1),(318,1),(321,1),(322,1),(334,1)}
       277:{2,3,4,7}:{(228,1),(229,1),(246,1),(319,1),(322,1),(345,1),(426,1)}
       278:{1,4,5,6,7}:{(232,1),(240,1),(253,1),(310,1),(323,1),(387,1),(412,1)}
       279:{1,2,4,6}:{(230,1),(233,1),(324,1),(325,1)}
       280:{2,5,6}:{(231,1),(235,1),(326,1),(327,1)}
       281:{1,3,5,7}:{(231,1),(232,1),(236,1),(255,1),(312,1),(327,1)}
       282:{1,3,4,7}:{(233,1),(243,1),(256,1),(313,1),(324,1),(328,1),(419,1)}
       283:{1,2,4,5,7}:{(233,1),(234,1),(237,1),(244,1),(257,1),(314,1),(325,1),(328,1),(329,1),(335,1),(388,1),(390,1),(419,1)}
       284:{1,4,6}:{(234,1),(235,1),(238,1),(326,1)}
       285:{2,4,6,7}:{(235,1),(236,1),(239,1),(246,1),(327,1),(330,1)}
       286:{1,2,6}:{(237,1),(238,1)}
       287:{1,3,6,7}:{(238,1),(239,1),(248,1),(330,1),(331,1)}
       288:{1,3,4,6,7}:{(240,1),(242,1),(261,1),(317,1),(323,1),(332,1),(375,1),(384,1),(412,1),(425,1)}
       289:{1,4,5,6}:{(241,1),(245,1),(318,1),(326,1),(333,1)}
       290:{2,4,5,7}:{(241,1),(242,1),(246,1),(319,1),(327,1),(332,1),(333,1),(385,1)}
       291:{1,3,5}:{(243,1),(244,1),(262,1),(320,1),(334,1)}
       292:{1,2,4,6}:{(244,1),(245,1),(247,1),(263,1),(321,1),(334,1),(335,1)}
       293:{1,4,7}:{(245,1),(246,1),(248,1)}
       294:{1,2,5,7}:{(247,1),(248,1),(265,1),(331,1),(335,1),(385,1)}
       295:{2,4,5,6}:{(249,1),(254,1),(336,1),(337,1),(417,1)}
       296:{3,4,5,7}:{(249,1),(250,1),(255,1),(337,1),(426,1)}
       297:{2,4,6,7}:{(250,1),(251,1),(337,1),(338,1)}
       298:{1,3,5,6,7}:{(251,1),(252,1),(260,1),(338,1),(339,1),(342,1),(395,1)}
       299:{3,5,6,7}:{(253,1),(255,1),(261,1),(425,1)}
       300:{2,3,4,6}:{(256,1),(324,1),(340,1),(343,1),(396,1)}
       301:{1,3,5,6}:{(254,1),(258,1),(326,1),(336,1),(341,1),(342,1),(393,1)}
       302:{2,3,5,7}:{(254,1),(255,1),(259,1),(327,1),(337,1),(342,1)}
       303:{2,3,5,7}:{(256,1),(257,1),(262,1),(328,1),(340,1),(343,1),(345,1)}
       304:{2,4,6}:{(257,1),(258,1),(341,1),(343,1)}
       305:{1,3,4,6,7}:{(258,1),(259,1),(260,1),(264,1),(330,1),(338,1),(342,1),(344,1),(391,1),(395,1),(419,1),(420,1)}
       306:{2,6,7}:{(260,1),(265,1)}
       307:{2,3,6}:{(262,1),(263,1),(334,1),(345,1)}
       308:{2,4,7}:{(263,1),(264,1),(265,1),(345,1)}
       309:{3,4,5,6}:{(266,1),(346,1),(347,1),(409,1)}
       310:{2,4,5,6,7}:{(267,1),(271,1),(278,1),(348,1),(360,1),(398,1)}
       311:{2,3,5,6}:{(266,1),(269,1),(280,1),(346,1),(350,1),(351,1)}
       312:{3,5,7}:{(266,1),(267,1),(270,1)}
       313:{2,3,4,7}:{(274,1),(282,1),(349,1),(352,1),(424,1)}
       314:{2,4,5,7}:{(268,1),(275,1),(352,1),(353,1),(359,1),(402,1),(404,1),(424,1)}
       315:{1,3,4,6}:{(268,1),(269,1),(284,1),(350,1),(353,1),(364,1),(407,1),(422,1)}
       316:{2,3,4,6,7}:{(269,1),(270,1),(277,1),(285,1),(351,1),(354,1),(355,1),(374,1),(398,1),(411,1)}
       317:{3,6,7}:{(271,1),(273,1)}
       318:{1,3,5,6}:{(272,1),(276,1),(289,1),(356,1),(357,1)}
       319:{2,3,5,7}:{(272,1),(273,1),(277,1),(290,1),(355,1),(357,1),(423,1)}
       320:{2,3,5}:{(274,1),(275,1),(291,1),(358,1)}
       321:{2,4,6}:{(275,1),(276,1),(356,1),(358,1),(359,1)}
       322:{1,3,4,7}:{(276,1),(277,1),(293,1),(357,1),(359,1),(367,1)}
       323:{1,3,5,6,7}:{(278,1),(281,1),(288,1),(299,1),(348,1),(360,1)}
       324:{1,3,4,6}:{(279,1),(282,1),(300,1),(349,1),(361,1),(364,1),(407,1)}
       325:{1,2,5}:{(279,1),(361,1)}
       326:{1,5,6}:{(280,1),(284,1),(363,1)}
       327:{2,5,7}:{(280,1),(281,1),(285,1),(363,1)}
       328:{1,3,5,7}:{(282,1),(283,1),(291,1),(303,1),(352,1),(361,1),(364,1),(367,1)}
       329:{1,2,4,6}:{(283,1),(284,1),(286,1),(304,1),(353,1),(362,1),(364,1),(407,1)}
       330:{1,4,6,7}:{(284,1),(285,1),(287,1),(293,1),(363,1)}
       331:{1,2,6,7}:{(286,1),(287,1),(294,1),(306,1),(406,1)}
       332:{2,4,6,7}:{(288,1),(290,1),(355,1),(360,1),(366,1),(406,1)}
       333:{1,4,5,7}:{(289,1),(290,1),(293,1),(357,1),(363,1),(366,1)}
       334:{1,3,6}:{(291,1),(292,1),(307,1),(358,1),(367,1)}
       335:{1,2,4,7}:{(292,1),(293,1),(294,1),(308,1),(359,1),(367,1)}
       336:{1,4,5,6}:{(295,1),(301,1),(368,1),(369,1),(407,1)}
       337:{2,4,5,7}:{(295,1),(296,1),(297,1),(302,1),(369,1),(424,1)}
       338:{1,4,6,7}:{(297,1),(298,1),(369,1),(370,1)}
       339:{2,5,6,7}:{(298,1),(306,1),(370,1),(373,1)}
       340:{2,3,5}:{(300,1),(361,1),(371,1)}
       341:{2,5,6}:{(301,1),(304,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(305,1),(363,1),(369,1),(373,1),(410,1)}
       343:{2,3,6}:{(303,1),(304,1),(364,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(306,1),(308,1),(373,1),(374,1),(411,1)}
       345:{2,3,7}:{(307,1),(308,1),(367,1)}
       346:{2,4,5,6}:{(309,1),(311,1),(376,1),(377,1),(396,1)}
       347:{3,4,5,7}:{(309,1),(312,1),(375,1),(377,1),(420,1)}
       348:{3,5,6,7}:{(310,1),(312,1),(317,1),(375,1)}
       349:{2,3,4,6}:{(313,1),(324,1),(379,1),(382,1),(417,1)}
       350:{1,3,5,6}:{(311,1),(315,1),(326,1),(376,1),(380,1),(381,1),(414,1)}
       351:{2,3,5,7}:{(311,1),(312,1),(316,1),(327,1),(377,1),(381,1)}
       352:{2,3,5,7}:{(313,1),(314,1),(320,1),(328,1),(379,1),(382,1),(386,1)}
       353:{2,4,6}:{(314,1),(315,1),(380,1),(382,1)}
       354:{1,3,4,6,7}:{(315,1),(316,1),(322,1),(330,1),(381,1),(383,1),(384,1),(391,1),(412,1),(419,1),(425,1),(426,1)}
       355:{2,3,6,7}:{(317,1),(319,1),(332,1),(384,1),(425,1)}
       356:{2,5,6}:{(318,1),(321,1),(385,1)}
       357:{1,3,5,7}:{(318,1),(319,1),(322,1),(333,1),(384,1),(385,1)}
       358:{2,3,6}:{(320,1),(321,1),(334,1),(386,1)}
       359:{2,4,7}:{(321,1),(322,1),(385,1),(386,1)}
       360:{2,5,6,7}:{(323,1),(327,1),(332,1),(387,1)}
       361:{1,3,5}:{(324,1),(325,1),(340,1),(379,1),(388,1)}
       362:{1,2,5,6}:{(325,1),(326,1),(329,1),(341,1),(380,1),(389,1),(390,1)}
       363:{1,5,7}:{(326,1),(327,1),(330,1)}
       364:{1,3,6}:{(328,1),(329,1),(343,1),(382,1)}
       365:{1,2,4,6,7}:{(329,1),(330,1),(331,1),(335,1),(344,1),(383,1),(390,1),(391,1),(419,1)}
       366:{1,4,6,7}:{(332,1),(333,1),(384,1),(387,1)}
       367:{1,3,7}:{(334,1),(335,1),(345,1),(386,1)}
       368:{2,4,5,6}:{(336,1),(341,1),(393,1),(394,1),(396,1)}
       369:{1,4,5,7}:{(336,1),(337,1),(338,1),(342,1),(394,1),(419,1)}
       370:{2,4,6,7}:{(338,1),(339,1),(394,1),(395,1)}
       371:{2,4,5}:{(340,1),(388,1),(392,1),(396,1)}
       372:{2,3,5,6}:{(340,1),(341,1),(343,1),(389,1),(393,1),(396,1),(397,1)}
       373:{2,5,7}:{(341,1),(342,1),(344,1)}
       374:{2,3,6,7}:{(343,1),(344,1),(345,1),(391,1),(395,1),(397,1)}
       375:{3,4,6,7}:{(347,1),(348,1),(398,1)}
       376:{1,4,5,6}:{(346,1),(350,1),(399,1),(400,1),(407,1)}
       377:{2,4,5,7}:{(346,1),(347,1),(351,1),(398,1),(400,1),(411,1)}
       378:{2,3,5,6,7}:{(348,1),(351,1),(355,1),(360,1),(398,1),(401,1)}
       379:{2,3,5}:{(349,1),(361,1),(402,1)}
       380:{2,5,6}:{(350,1),(353,1),(404,1)}
       381:{1,3,5,7}:{(350,1),(351,1),(354,1),(363,1),(400,1),(404,1),(423,1)}
       382:{2,3,6}:{(352,1),(353,1),(364,1)}
       383:{2,4,6,7}:{(353,1),(354,1),(359,1),(404,1),(405,1),(406,1),(424,1)}
       384:{1,3,6,7}:{(355,1),(357,1),(366,1),(406,1)}
       385:{2,5,7}:{(356,1),(357,1),(359,1),(406,1)}
       386:{2,3,7}:{(358,1),(359,1),(367,1)}
       387:{1,5,6,7}:{(360,1),(363,1),(366,1)}
       388:{1,4,5}:{(361,1),(371,1),(402,1),(407,1)}
       389:{1,3,5,6}:{(361,1),(362,1),(364,1),(372,1),(403,1),(407,1),(408,1)}
       390:{1,2,5,7}:{(362,1),(363,1),(365,1),(373,1),(404,1),(408,1)}
       391:{1,3,6,7}:{(364,1),(365,1),(367,1),(374,1),(405,1),(408,1)}
       392:{3,4,5}:{(371,1),(409,1)}
       393:{3,5,6}:{(368,1),(409,1),(410,1)}
       394:{2,4,5,7}:{(368,1),(369,1),(370,1),(373,1),(410,1),(411,1)}
       395:{3,6,7}:{(370,1),(410,1)}
       396:{2,4,6}:{(371,1),(372,1),(407,1),(409,1),(411,1)}
       397:{2,3,5,7}:{(372,1),(373,1),(374,1),(408,1),(410,1),(411,1)}
       398:{2,4,6,7}:{(375,1),(377,1),(378,1),(412,1)}
       399:{2,4,5,6}:{(376,1),(380,1),(414,1),(415,1),(417,1)}
       400:{1,4,5,7}:{(376,1),(377,1),(381,1),(412,1),(415,1),(419,1)}
       401:{1,3,5,6,7}:{(378,1),(381,1),(384,1),(387,1),(412,1),(416,1),(425,1)}
       402:{2,4,5}:{(379,1),(388,1),(413,1),(417,1)}
       403:{2,3,5,6}:{(379,1),(380,1),(382,1),(389,1),(414,1),(417,1),(418,1)}
       404:{2,5,7}:{(380,1),(381,1),(383,1)}
       405:{2,3,6,7}:{(382,1),(383,1),(386,1),(391,1),(418,1),(425,1)}
       406:{2,6,7}:{(384,1),(385,1)}
       407:{1,4,6}:{(388,1),(389,1),(396,1),(417,1),(419,1)}
       408:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(418,1),(419,1)}
       409:{3,4,6}:{(392,1),(393,1),(396,1),(420,1)}
       410:{3,5,7}:{(393,1),(394,1),(395,1),(420,1)}
       411:{2,4,7}:{(396,1),(397,1),(419,1),(420,1)}
       412:{1,4,6,7}:{(398,1),(400,1),(401,1),(421,1)}
       413:{3,4,5}:{(402,1),(422,1)}
       414:{3,5,6}:{(399,1),(422,1),(423,1)}
       415:{2,4,5,7}:{(399,1),(400,1),(404,1),(421,1),(423,1),(424,1)}
       416:{2,5,6,7}:{(401,1),(404,1),(406,1),(421,1)}
       417:{2,4,6}:{(402,1),(403,1),(407,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(403,1),(404,1),(405,1),(408,1),(423,1),(424,1)}
       419:{1,4,7}:{(407,1),(408,1),(411,1),(424,1)}
       420:{3,4,7}:{(409,1),(410,1),(411,1)}
       421:{2,4,6,7}:{(412,1),(415,1),(416,1),(425,1)}
       422:{3,4,6}:{(413,1),(414,1),(417,1),(426,1)}
       423:{3,5,7}:{(414,1),(415,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2383 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(36,1),(37,1),(87,1),(160,1),(161,1),(231,1),(239,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(61,1),(124,1),(261,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(25,1),(30,1),(60,1),(120,1),(135,1),(136,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(12,1),(39,1),(47,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(159,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(284,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(47,1),(87,1),(91,1),(93,1),(160,1),(223,1),(234,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(45,1),(101,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(89,1),(108,1),(109,1),(156,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(64,1),(73,1),(117,1),(202,1)}
        10:{1,3,4,5,6}:{(4,1),(22,1),(23,1),(29,1),(55,1),(66,1),(76,1),(113,1),(134,1),(181,1),(264,1)}
        11:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(62,1),(69,1),(119,1),(126,1),(135,1),(136,1),(190,1),(197,1),(265,1),(296,1)}
        12:{3,5,6,7}:{(3,1),(26,1),(187,1),(254,1)}
        13:{3,4,5,7}:{(4,1),(26,1),(28,1),(195,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(124,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(263,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(298,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(71,1),(73,1),(120,1),(127,1),(135,1),(138,1),(140,1),(262,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(25,1),(33,1),(34,1),(80,1),(122,1),(193,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(39,1),(85,1),(104,1),(175,1)}
        21:{1,3,5,6,7}:{(9,1),(12,1),(35,1),(38,1),(39,1),(235,1)}
        22:{1,3,4,5,7}:{(10,1),(13,1),(38,1),(41,1),(49,1),(81,1),(96,1),(106,1),(146,1),(170,1),(215,1),(235,1)}
        23:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(97,1),(169,1),(284,1)}
        24:{1,2,4,6}:{(11,1),(18,1),(43,1),(45,1),(92,1),(101,1),(232,1),(285,1),(306,1)}
        25:{1,3,5,7}:{(11,1),(19,1),(37,1),(45,1),(46,1),(103,1),(155,1),(227,1),(231,1)}
        26:{3,4,6,7}:{(12,1),(13,1),(47,1)}
        27:{2,3,5,6,7}:{(12,1),(15,1),(39,1),(47,1),(48,1),(93,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(47,1),(49,1),(160,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(101,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(283,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(156,1),(163,1)}
        33:{2,3,6}:{(18,1),(19,1),(45,1)}
        34:{2,3,4,7}:{(19,1),(46,1),(54,1),(108,1),(158,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(138,1),(209,1)}
        36:{2,3,4,5}:{(59,1),(60,1),(141,1),(189,1),(206,1),(247,1)}
        37:{2,3,5,7}:{(25,1),(61,1),(62,1),(126,1),(189,1),(256,1),(296,1)}
        38:{1,3,4,6,7}:{(21,1),(22,1),(26,1),(57,1),(63,1),(73,1),(117,1),(127,1),(138,1),(187,1)}
        39:{2,5,6,7}:{(21,1),(63,1),(64,1),(263,1)}
        40:{2,3,5,6}:{(23,1),(59,1),(65,1),(66,1),(76,1),(181,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(63,1),(65,1),(67,1),(131,1),(205,1),(263,1)}
        42:{1,4,5,6}:{(23,1),(66,1),(67,1),(204,1),(298,1)}
        43:{1,2,5,6}:{(24,1),(31,1),(69,1),(70,1),(126,1),(198,1),(298,1)}
        44:{1,2,4,6,7}:{(24,1),(32,1),(69,1),(71,1),(125,1),(135,1),(190,1),(199,1),(262,1)}
        45:{1,3,6}:{(24,1),(25,1),(33,1),(61,1),(261,1)}
        46:{1,3,4,7}:{(25,1),(34,1),(62,1),(72,1),(135,1),(192,1),(195,1)}
        47:{2,4,6,7}:{(26,1),(27,1),(28,1),(73,1)}
        48:{1,3,5,6,7}:{(27,1),(30,1),(64,1),(73,1),(74,1),(127,1),(138,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(135,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(70,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(71,1),(77,1),(138,1),(193,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(72,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(241,1),(299,1)}
        56:{2,3,4,5,7}:{(36,1),(83,1),(84,1),(87,1),(144,1),(176,1),(217,1),(239,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(39,1),(85,1),(86,1),(93,1),(144,1)}
        59:{2,3,4,6}:{(36,1),(40,1),(87,1),(88,1),(107,1),(169,1),(216,1),(225,1)}
        60:{1,3,4,5}:{(36,1),(88,1),(89,1),(155,1),(238,1)}
        61:{2,3,6}:{(37,1),(45,1),(92,1),(306,1)}
        62:{2,4,7}:{(37,1),(46,1),(92,1),(226,1)}
        63:{2,4,6,7}:{(38,1),(39,1),(41,1),(93,1),(94,1),(163,1)}
        64:{1,5,6,7}:{(39,1),(94,1),(283,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(87,1),(93,1),(96,1),(106,1),(215,1)}
        66:{1,3,5,6}:{(40,1),(42,1),(88,1),(96,1),(97,1)}
        67:{1,4,5,7}:{(41,1),(42,1),(94,1),(96,1),(237,1),(283,1)}
        68:{1,2,4,5,6}:{(42,1),(43,1),(50,1),(97,1),(98,1),(99,1),(101,1),(147,1),(154,1),(161,1),(169,1),(212,1),(232,1),(236,1),(238,1),(269,1),(280,1),(284,1),(285,1),(301,1),(306,1),(313,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(100,1),(162,1),(283,1)}
        70:{1,3,5,6}:{(43,1),(45,1),(52,1),(90,1),(100,1),(101,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(45,1),(53,1),(91,1),(100,1),(227,1)}
        72:{1,3,4,6}:{(45,1),(46,1),(54,1),(92,1),(101,1),(103,1),(159,1)}
        73:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1)}
        74:{2,5,6,7}:{(48,1),(51,1),(104,1),(163,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(104,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(100,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(101,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(102,1),(108,1),(110,1),(174,1),(177,1),(229,1),(234,1),(282,1)}
        80:{2,3,5}:{(54,1),(103,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(209,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(60,1),(115,1),(116,1),(120,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(64,1),(117,1),(118,1),(127,1),(178,1),(187,1)}
        87:{2,3,4,7}:{(59,1),(65,1),(120,1),(140,1),(205,1),(246,1),(256,1)}
        88:{1,3,4,6}:{(59,1),(60,1),(66,1),(120,1),(121,1),(191,1),(204,1)}
        89:{2,4,5}:{(60,1),(121,1),(122,1)}
        90:{2,3,5,6}:{(61,1),(70,1),(123,1),(124,1),(126,1),(196,1),(198,1),(261,1)}
        91:{2,3,6,7}:{(61,1),(71,1),(123,1),(125,1),(256,1),(261,1)}
        92:{2,4,6}:{(61,1),(62,1),(72,1),(126,1)}
        93:{2,3,6,7}:{(63,1),(65,1),(127,1),(138,1),(187,1)}
        94:{1,4,6,7}:{(63,1),(64,1),(67,1),(127,1)}
        95:{1,2,5,6,7}:{(64,1),(69,1),(74,1),(118,1),(128,1),(129,1),(198,1),(199,1),(242,1),(263,1),(298,1),(311,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(67,1),(120,1),(127,1),(131,1)}
        97:{2,5,6}:{(66,1),(121,1),(131,1)}
        98:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(75,1),(128,1),(131,1),(133,1),(135,1),(180,1),(190,1),(197,1),(202,1),(205,1),(242,1),(263,1),(265,1),(288,1),(296,1),(309,1)}
        99:{1,3,5,6}:{(68,1),(76,1),(132,1),(133,1),(134,1),(181,1),(191,1),(196,1),(259,1),(261,1),(297,1),(308,1),(314,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(71,1),(77,1),(123,1),(135,1)}
       101:{1,4,6}:{(70,1),(78,1),(124,1),(135,1),(136,1)}
       102:{1,3,4,6,7}:{(71,1),(72,1),(79,1),(125,1),(135,1),(137,1),(195,1),(208,1),(258,1),(261,1),(262,1),(297,1)}
       103:{1,3,5}:{(72,1),(80,1),(126,1),(136,1),(196,1)}
       104:{2,4,6,7}:{(73,1),(74,1),(75,1),(138,1)}
       105:{2,3,5,6,7}:{(74,1),(77,1),(129,1),(138,1),(139,1),(143,1),(200,1),(209,1),(263,1),(286,1),(311,1),(314,1)}
       106:{3,5,7}:{(75,1),(76,1),(138,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(135,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(136,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(137,1),(142,1),(143,1),(209,1),(263,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(241,1),(284,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(93,1),(144,1),(149,1),(174,1),(234,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(89,1),(150,1),(151,1),(156,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(163,1),(213,1)}
       119:{1,2,4,5}:{(89,1),(154,1),(155,1),(226,1),(238,1),(280,1)}
       120:{1,3,4,7}:{(87,1),(88,1),(96,1),(156,1),(227,1),(237,1)}
       121:{2,4,6}:{(88,1),(89,1),(97,1),(156,1),(157,1)}
       122:{2,3,5}:{(89,1),(155,1),(157,1),(158,1)}
       123:{2,3,5,7}:{(90,1),(91,1),(100,1),(160,1),(162,1),(231,1)}
       124:{2,4,6}:{(90,1),(101,1),(159,1),(160,1),(161,1)}
       125:{2,4,6,7}:{(91,1),(92,1),(102,1),(160,1),(162,1),(232,1),(279,1),(306,1)}
       126:{2,5}:{(92,1),(103,1)}
       127:{1,3,6,7}:{(93,1),(94,1),(96,1),(163,1)}
       128:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(104,1),(152,1),(163,1),(164,1),(165,1),(232,1),(234,1),(285,1),(306,1),(313,1)}
       129:{1,3,5,6,7}:{(95,1),(100,1),(105,1),(153,1),(164,1),(165,1),(173,1),(233,1),(235,1),(268,1),(283,1),(305,1)}
       130:{1,2,5,6}:{(97,1),(154,1),(166,1),(167,1),(280,1),(306,1)}
       131:{2,5,7}:{(96,1),(97,1),(156,1),(163,1)}
       132:{2,3,5,6}:{(97,1),(99,1),(157,1),(167,1),(168,1),(169,1),(225,1),(230,1),(280,1),(282,1),(284,1),(306,1)}
       133:{1,3,5,7}:{(98,1),(99,1),(106,1),(164,1),(168,1),(170,1),(215,1),(227,1),(231,1),(312,1)}
       134:{1,3,4,6}:{(99,1),(101,1),(107,1),(159,1),(169,1),(170,1),(171,1),(216,1),(269,1),(299,1)}
       135:{1,4,7}:{(100,1),(101,1),(108,1),(160,1)}
       136:{1,4,5}:{(101,1),(103,1),(109,1),(161,1)}
       137:{1,3,5,7}:{(102,1),(103,1),(110,1),(162,1),(172,1),(173,1),(231,1),(283,1)}
       138:{3,6,7}:{(104,1),(106,1)}
       139:{2,4,6,7}:{(105,1),(108,1),(165,1),(174,1),(175,1),(177,1),(300,1),(313,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(172,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(173,1),(177,1),(241,1),(282,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(209,1),(263,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(298,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(119,1),(182,1),(183,1),(190,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(296,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(120,1),(127,1),(178,1),(184,1),(187,1),(246,1),(250,1),(262,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(122,1),(183,1),(185,1),(186,1),(193,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(123,1),(129,1),(187,1),(188,1),(198,1),(200,1),(244,1),(254,1),(261,1),(263,1),(295,1)}
       154:{1,2,4,6}:{(119,1),(121,1),(130,1),(190,1),(191,1),(204,1),(257,1)}
       155:{1,3,5}:{(119,1),(122,1),(189,1),(191,1),(192,1)}
       156:{2,4,7}:{(120,1),(121,1),(131,1),(193,1)}
       157:{2,3,6}:{(121,1),(122,1),(191,1),(193,1)}
       158:{2,3,4}:{(122,1),(192,1)}
       159:{3,4,6}:{(124,1),(195,1),(196,1),(261,1)}
       160:{2,4,7}:{(123,1),(124,1),(135,1),(195,1)}
       161:{2,4,5}:{(124,1),(126,1),(136,1),(196,1)}
       162:{2,5,7}:{(125,1),(126,1),(137,1),(198,1)}
       163:{2,6,7}:{(127,1),(131,1)}
       164:{1,3,6,7}:{(128,1),(133,1),(138,1),(187,1),(200,1),(261,1),(297,1),(314,1)}
       165:{1,4,6,7}:{(129,1),(135,1),(139,1),(188,1),(202,1),(208,1),(288,1),(310,1)}
       166:{1,2,5,7}:{(130,1),(131,1),(190,1),(199,1),(203,1),(296,1)}
       167:{1,3,5,6}:{(130,1),(132,1),(191,1),(203,1),(204,1),(259,1),(297,1),(298,1)}
       168:{2,3,5,7}:{(131,1),(132,1),(133,1),(193,1),(200,1),(203,1),(205,1),(256,1),(263,1),(296,1)}
       169:{2,4,6}:{(132,1),(134,1),(204,1),(205,1),(206,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(135,1),(140,1),(195,1),(205,1),(246,1),(288,1),(307,1)}
       171:{1,3,4,5}:{(134,1),(136,1),(141,1),(196,1),(206,1),(247,1),(259,1),(289,1),(308,1)}
       172:{1,4,5,7}:{(135,1),(136,1),(137,1),(142,1),(197,1),(208,1)}
       173:{1,3,5,6}:{(137,1),(143,1),(198,1),(208,1),(261,1),(297,1),(298,1)}
       174:{3,4,6,7}:{(138,1),(139,1),(140,1),(209,1),(211,1),(307,1),(314,1)}
       175:{2,4,5,7}:{(139,1),(202,1),(209,1),(210,1),(263,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(209,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(283,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(155,1),(217,1),(219,1),(220,1),(227,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(156,1),(163,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(158,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(160,1),(165,1),(223,1),(224,1),(232,1),(270,1),(303,1)}
       189:{2,3,5}:{(155,1),(225,1),(226,1),(280,1)}
       190:{1,2,4,7}:{(154,1),(156,1),(166,1),(227,1),(237,1),(279,1)}
       191:{1,3,6}:{(154,1),(155,1),(157,1),(225,1),(227,1)}
       192:{1,3,4}:{(155,1),(158,1),(226,1)}
       193:{2,3,7}:{(156,1),(157,1),(227,1)}
       194:{2,3,4,6}:{(157,1),(158,1),(159,1),(169,1),(228,1),(229,1),(230,1),(282,1),(299,1)}
       195:{3,4,7}:{(159,1),(160,1),(231,1)}
       196:{3,5}:{(159,1),(161,1)}
       197:{2,4,5,7}:{(160,1),(161,1),(162,1),(172,1),(231,1),(232,1)}
       198:{2,5,6}:{(162,1),(173,1),(232,1),(306,1)}
       199:{1,2,6,7}:{(163,1),(166,1),(233,1),(306,1)}
       200:{2,3,6,7}:{(163,1),(164,1),(168,1),(233,1),(234,1),(282,1),(306,1)}
       201:{1,3,4,6,7}:{(164,1),(165,1),(170,1),(174,1),(223,1),(234,1),(235,1),(240,1)}
       202:{1,4,5,7}:{(165,1),(175,1),(224,1),(235,1),(236,1),(283,1)}
       203:{1,3,5,7}:{(166,1),(167,1),(168,1),(227,1),(233,1),(237,1),(283,1)}
       204:{1,4,6}:{(167,1),(169,1),(237,1),(238,1)}
       205:{2,4,7}:{(168,1),(169,1),(170,1),(237,1)}
       206:{2,4,5}:{(169,1),(171,1),(230,1),(238,1),(280,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(172,1),(176,1),(231,1),(235,1),(239,1),(240,1),(272,1),(281,1),(302,1),(312,1)}
       208:{1,4,6}:{(172,1),(173,1),(177,1),(232,1)}
       209:{3,5,7}:{(174,1),(175,1),(241,1)}
       210:{2,4,5,6}:{(175,1),(177,1),(236,1),(241,1),(284,1),(313,1)}
       211:{3,4,6}:{(176,1),(177,1),(241,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(298,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(189,1),(248,1),(249,1),(256,1),(293,1),(296,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(190,1),(199,1),(242,1),(250,1),(262,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(192,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(193,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(195,1),(246,1),(254,1),(261,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(202,1),(254,1),(255,1),(263,1)}
       225:{2,3,6}:{(189,1),(191,1),(256,1),(257,1)}
       226:{2,4}:{(189,1),(192,1)}
       227:{1,3,7}:{(190,1),(191,1),(193,1),(256,1)}
       228:{1,3,4,6}:{(191,1),(192,1),(194,1),(204,1),(257,1),(258,1),(259,1),(297,1)}
       229:{2,3,4,7}:{(193,1),(194,1),(195,1),(205,1),(258,1),(260,1),(307,1)}
       230:{2,3,5}:{(194,1),(196,1),(206,1),(259,1),(308,1)}
       231:{3,5,7}:{(195,1),(196,1),(197,1),(261,1)}
       232:{2,4,6}:{(197,1),(198,1),(208,1),(261,1)}
       233:{1,3,6,7}:{(199,1),(200,1),(203,1),(262,1),(297,1)}
       234:{2,4,6,7}:{(200,1),(201,1),(205,1),(262,1),(263,1),(266,1)}
       235:{1,3,5,7}:{(201,1),(202,1),(209,1),(254,1),(263,1),(264,1)}
       236:{1,4,5,6}:{(202,1),(208,1),(210,1),(255,1),(264,1),(298,1),(310,1)}
       237:{1,4,7}:{(203,1),(204,1),(205,1)}
       238:{1,4,5}:{(204,1),(206,1),(259,1)}
       239:{2,4,5,7}:{(205,1),(206,1),(207,1),(260,1),(263,1),(265,1),(266,1),(296,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(261,1),(264,1),(266,1),(291,1),(297,1),(310,1),(314,1)}
       241:{3,5,6}:{(209,1),(210,1),(211,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(283,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(226,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(227,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(229,1),(234,1),(270,1),(275,1),(277,1),(282,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(232,1),(236,1),(278,1),(284,1),(303,1)}
       256:{2,3,7}:{(225,1),(227,1),(279,1)}
       257:{2,4,6}:{(225,1),(226,1),(228,1),(279,1),(280,1),(306,1)}
       258:{1,3,4,7}:{(227,1),(228,1),(229,1),(237,1),(279,1),(281,1)}
       259:{1,3,5}:{(228,1),(230,1),(238,1),(280,1)}
       260:{2,3,5,7}:{(229,1),(230,1),(231,1),(239,1),(281,1),(282,1),(312,1)}
       261:{3,6}:{(231,1),(232,1)}
       262:{1,4,6,7}:{(233,1),(234,1),(237,1),(283,1),(285,1)}
       263:{2,5,7}:{(234,1),(235,1),(283,1),(284,1)}
       264:{1,3,5,6}:{(235,1),(236,1),(240,1),(241,1),(278,1),(284,1)}
       265:{1,4,5,7}:{(237,1),(238,1),(239,1),(281,1),(283,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(282,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(256,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(258,1),(262,1),(288,1),(292,1),(294,1),(297,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(263,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(261,1),(291,1)}
       279:{2,4,7}:{(256,1),(257,1),(258,1),(296,1)}
       280:{2,5}:{(257,1),(259,1)}
       281:{1,3,5,7}:{(258,1),(259,1),(260,1),(265,1),(296,1),(297,1)}
       282:{2,3,6}:{(260,1),(261,1),(266,1),(297,1),(314,1)}
       283:{1,5,7}:{(262,1),(263,1),(298,1)}
       284:{2,5,6}:{(263,1),(264,1),(266,1),(298,1)}
       285:{1,4,6}:{(265,1),(266,1),(297,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(279,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(283,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(282,1),(284,1),(303,1),(305,1)}
       296:{2,5,7}:{(279,1),(280,1),(281,1),(306,1)}
       297:{1,3,6}:{(281,1),(282,1),(285,1),(306,1)}
       298:{1,5,6}:{(283,1),(284,1),(285,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(297,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(296,1),(297,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2384 :   0:{2,3,4,5}:{(2,1),(3,1),(43,1),(86,1)}
         1:{1,2,3,5}:{(4,1),(5,1),(27,1),(28,1)}
         2:{1,3,4,5}:{(0,1),(9,1),(10,1),(28,1),(68,1),(75,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(10,1),(11,1),(65,1),(110,1)}
         4:{1,2,3,6}:{(1,1),(12,1),(13,1),(49,1)}
         5:{1,2,4}:{(1,1),(14,1)}
         6:{3,4,5,6}:{(16,1),(17,1),(129,1),(159,1)}
         7:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1)}
         8:{2,3,4}:{(14,1),(21,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,6}:{(2,1),(3,1),(19,1),(22,1),(23,1),(49,1),(93,1),(100,1)}
        11:{2,3,4,7}:{(3,1),(20,1),(23,1),(89,1),(133,1)}
        12:{1,2,3,7}:{(4,1),(25,1),(72,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(67,1)}
        14:{1,3,4}:{(5,1),(8,1),(24,1),(28,1)}
        15:{1,2,4,5}:{(5,1),(9,1),(27,1),(28,1),(29,1),(64,1),(68,1)}
        16:{2,4,5,6}:{(6,1),(7,1),(32,1),(33,1),(110,1),(148,1)}
        17:{3,4,5,7}:{(6,1),(31,1),(33,1),(147,1),(168,1)}
        18:{2,3,4,6}:{(8,1),(26,1),(34,1),(36,1),(40,1),(79,1),(81,1)}
        19:{1,3,5,6}:{(7,1),(10,1),(32,1),(37,1),(38,1),(76,1)}
        20:{2,3,5,7}:{(7,1),(11,1),(33,1),(35,1),(38,1)}
        21:{2,3,5}:{(8,1),(9,1),(28,1),(40,1)}
        22:{2,4,6}:{(9,1),(10,1),(37,1),(40,1),(41,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(38,1),(41,1),(72,1),(117,1),(123,1)}
        24:{2,3,4}:{(14,1),(43,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(44,1),(45,1)}
        26:{1,3,4,6}:{(13,1),(14,1),(18,1),(42,1),(44,1),(46,1),(49,1),(91,1),(93,1)}
        27:{1,2,5}:{(13,1),(46,1)}
        28:{1,3,5}:{(14,1),(15,1),(21,1),(43,1),(49,1)}
        29:{1,2,4,6}:{(15,1),(22,1),(47,1),(49,1),(50,1),(88,1),(93,1)}
        30:{4,5,6,7}:{(51,1),(172,1)}
        31:{3,4,6,7}:{(17,1),(51,1),(52,1)}
        32:{1,4,5,6}:{(16,1),(19,1),(53,1),(54,1),(93,1),(135,1)}
        33:{2,4,5,7}:{(16,1),(17,1),(20,1),(52,1),(54,1),(133,1),(162,1)}
        34:{2,3,4,7}:{(18,1),(44,1),(55,1),(61,1),(105,1)}
        35:{2,3,6,7}:{(20,1),(52,1),(56,1)}
        36:{2,3,5}:{(18,1),(46,1),(57,1)}
        37:{2,5,6}:{(19,1),(22,1),(59,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(23,1),(54,1),(56,1),(59,1),(101,1)}
        39:{2,3,4,5}:{(21,1),(48,1),(57,1),(60,1)}
        40:{2,3,6}:{(21,1),(22,1),(49,1),(61,1)}
        41:{2,4,7}:{(22,1),(23,1),(59,1),(61,1)}
        42:{2,3,4,6}:{(24,1),(26,1),(62,1),(63,1),(65,1),(109,1),(110,1)}
        43:{2,3,5}:{(24,1),(28,1),(64,1),(65,1)}
        44:{1,3,4,7}:{(25,1),(26,1),(34,1),(62,1),(66,1),(72,1),(117,1)}
        45:{1,2,5,7}:{(25,1),(27,1),(66,1),(67,1)}
        46:{1,3,5}:{(26,1),(27,1),(36,1),(63,1),(68,1)}
        47:{1,2,5,6}:{(27,1),(29,1),(37,1),(67,1),(69,1),(70,1),(112,1)}
        48:{1,3,4,5}:{(28,1),(39,1),(64,1),(68,1),(71,1),(107,1)}
        49:{1,3,6}:{(28,1),(29,1),(40,1),(65,1),(72,1)}
        50:{1,2,4,7}:{(29,1),(41,1),(70,1),(72,1),(113,1),(117,1)}
        51:{3,5,6,7}:{(30,1),(31,1),(73,1),(168,1)}
        52:{2,4,6,7}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        53:{2,4,5,6}:{(32,1),(37,1),(76,1),(77,1),(81,1),(124,1),(154,1)}
        54:{1,4,5,7}:{(32,1),(33,1),(38,1),(74,1),(77,1),(117,1),(152,1)}
        55:{2,3,5,7}:{(34,1),(36,1),(66,1),(78,1),(79,1)}
        56:{1,3,6,7}:{(35,1),(38,1),(74,1),(80,1),(121,1)}
        57:{2,4,5}:{(36,1),(68,1),(75,1),(81,1)}
        58:{2,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(76,1),(79,1),(81,1),(82,1),(124,1)}
        59:{2,5,7}:{(37,1),(38,1),(41,1),(80,1)}
        60:{2,3,4,6}:{(39,1),(40,1),(71,1),(81,1),(83,1),(84,1)}
        61:{2,3,7}:{(40,1),(41,1),(72,1)}
        62:{2,3,4,7}:{(42,1),(44,1),(85,1),(89,1),(133,1)}
        63:{2,3,5}:{(42,1),(46,1),(86,1)}
        64:{2,4,5}:{(43,1),(48,1),(88,1)}
        65:{2,3,6}:{(43,1),(49,1),(88,1),(89,1)}
        66:{1,3,5,7}:{(44,1),(45,1),(46,1),(55,1),(85,1),(90,1),(91,1)}
        67:{1,2,6}:{(45,1),(91,1)}
        68:{1,4,5}:{(46,1),(57,1),(86,1),(93,1)}
        69:{1,3,5,6}:{(46,1),(47,1),(49,1),(58,1),(87,1),(91,1),(93,1),(94,1),(135,1)}
        70:{1,2,5,7}:{(47,1),(50,1),(59,1),(92,1),(94,1),(134,1)}
        71:{1,3,4,6}:{(48,1),(49,1),(60,1),(88,1),(93,1),(95,1),(96,1),(129,1)}
        72:{1,3,7}:{(49,1),(50,1),(61,1),(89,1)}
        73:{2,5,6,7}:{(51,1),(52,1),(97,1),(162,1)}
        74:{1,4,6,7}:{(52,1),(54,1),(56,1),(97,1),(99,1)}
        75:{3,4,5}:{(57,1),(100,1)}
        76:{3,5,6}:{(53,1),(100,1),(101,1)}
        77:{2,4,5,7}:{(53,1),(54,1),(59,1),(99,1),(101,1),(105,1),(143,1),(165,1)}
        78:{2,4,5,7}:{(55,1),(57,1),(90,1),(98,1),(102,1),(105,1),(143,1)}
        79:{2,3,6}:{(55,1),(91,1),(102,1)}
        80:{2,6,7}:{(56,1),(59,1)}
        81:{2,4,6}:{(57,1),(58,1),(93,1),(100,1),(105,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(61,1),(94,1),(101,1),(103,1),(105,1),(143,1)}
        83:{2,3,5,6}:{(60,1),(95,1),(104,1),(106,1)}
        84:{2,3,4,7}:{(60,1),(61,1),(96,1),(105,1),(106,1)}
        85:{2,3,5,7}:{(62,1),(63,1),(66,1),(108,1),(109,1)}
        86:{2,4,5}:{(63,1),(68,1),(107,1),(110,1)}
        87:{2,3,5,6}:{(63,1),(65,1),(69,1),(109,1),(110,1),(111,1),(112,1),(146,1),(148,1)}
        88:{2,4,6}:{(64,1),(65,1),(71,1),(112,1),(113,1)}
        89:{2,3,7}:{(65,1),(72,1),(113,1)}
        90:{1,4,5,7}:{(66,1),(68,1),(78,1),(108,1),(114,1),(117,1),(152,1)}
        91:{1,3,6}:{(66,1),(67,1),(79,1),(109,1),(114,1)}
        92:{1,2,6,7}:{(67,1),(70,1),(80,1),(115,1),(151,1)}
        93:{1,4,6}:{(68,1),(69,1),(81,1),(110,1),(117,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(72,1),(82,1),(111,1),(115,1),(117,1),(152,1)}
        95:{1,3,5,6}:{(71,1),(83,1),(112,1),(116,1),(118,1),(146,1)}
        96:{1,3,4,7}:{(71,1),(72,1),(84,1),(113,1),(117,1),(118,1),(147,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(119,1),(152,1)}
        98:{3,4,5,7}:{(75,1),(78,1),(120,1),(123,1),(156,1)}
        99:{2,4,6,7}:{(74,1),(77,1),(80,1),(119,1),(121,1),(155,1)}
       100:{3,4,6}:{(75,1),(76,1),(81,1),(123,1)}
       101:{3,5,7}:{(76,1),(77,1),(121,1),(123,1)}
       102:{2,4,6}:{(78,1),(79,1),(114,1),(120,1),(124,1)}
       103:{2,3,6,7}:{(79,1),(80,1),(82,1),(115,1),(121,1),(125,1)}
       104:{2,4,5,6}:{(81,1),(83,1),(116,1),(122,1),(124,1),(126,1)}
       105:{2,4,7}:{(81,1),(82,1),(117,1),(123,1)}
       106:{2,3,5,7}:{(83,1),(84,1),(118,1),(126,1),(127,1)}
       107:{3,4,5}:{(86,1),(129,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(90,1),(128,1),(130,1),(133,1),(162,1)}
       109:{2,3,6}:{(85,1),(91,1),(130,1)}
       110:{2,4,6}:{(86,1),(87,1),(93,1),(129,1),(133,1)}
       111:{2,3,5,7}:{(87,1),(89,1),(94,1),(131,1),(133,1),(134,1),(161,1),(162,1)}
       112:{2,5,6}:{(88,1),(95,1),(134,1)}
       113:{2,4,7}:{(88,1),(89,1),(96,1),(134,1)}
       114:{1,4,6}:{(90,1),(91,1),(102,1),(130,1),(135,1)}
       115:{1,3,6,7}:{(91,1),(92,1),(94,1),(103,1),(131,1),(136,1)}
       116:{1,4,5,6}:{(93,1),(95,1),(104,1),(132,1),(135,1),(137,1)}
       117:{1,4,7}:{(93,1),(94,1),(105,1),(133,1)}
       118:{1,3,5,7}:{(95,1),(96,1),(106,1),(134,1),(137,1),(138,1),(161,1)}
       119:{2,5,6,7}:{(97,1),(99,1),(139,1),(143,1)}
       120:{3,4,6}:{(98,1),(102,1),(140,1)}
       121:{3,6,7}:{(99,1),(101,1)}
       122:{3,4,5,6}:{(100,1),(104,1),(140,1),(142,1)}
       123:{3,4,7}:{(100,1),(101,1),(105,1)}
       124:{2,5,6}:{(102,1),(135,1),(140,1),(143,1)}
       125:{2,4,6,7}:{(102,1),(103,1),(105,1),(136,1),(141,1),(143,1)}
       126:{2,4,5,7}:{(104,1),(105,1),(106,1),(137,1),(142,1),(143,1),(144,1)}
       127:{2,3,6,7}:{(106,1),(138,1),(144,1)}
       128:{3,4,5,7}:{(107,1),(108,1),(145,1),(147,1),(168,1)}
       129:{3,4,6}:{(107,1),(110,1),(146,1),(147,1)}
       130:{2,4,6}:{(108,1),(109,1),(114,1),(145,1),(148,1)}
       131:{2,3,6,7}:{(109,1),(111,1),(115,1),(149,1),(151,1),(169,1)}
       132:{2,4,5,6}:{(110,1),(112,1),(116,1),(146,1),(148,1),(150,1),(167,1)}
       133:{2,4,7}:{(110,1),(111,1),(117,1),(147,1)}
       134:{2,5,7}:{(112,1),(113,1),(118,1),(151,1)}
       135:{1,5,6}:{(114,1),(124,1),(148,1),(152,1)}
       136:{1,4,6,7}:{(114,1),(115,1),(117,1),(125,1),(149,1),(152,1)}
       137:{1,4,5,7}:{(116,1),(117,1),(118,1),(126,1),(150,1),(152,1),(153,1)}
       138:{1,3,6,7}:{(118,1),(127,1),(151,1),(153,1),(169,1)}
       139:{3,5,6,7}:{(119,1),(121,1),(155,1),(156,1)}
       140:{3,5,6}:{(120,1),(124,1),(154,1),(156,1)}
       141:{3,4,6,7}:{(120,1),(121,1),(123,1),(125,1),(155,1),(156,1)}
       142:{3,4,5,7}:{(122,1),(123,1),(126,1),(156,1),(157,1)}
       143:{2,5,7}:{(124,1),(125,1),(152,1),(156,1)}
       144:{2,4,6,7}:{(126,1),(127,1),(153,1),(157,1),(158,1)}
       145:{3,4,6}:{(128,1),(130,1),(159,1)}
       146:{3,5,6}:{(129,1),(132,1),(161,1)}
       147:{3,4,7}:{(129,1),(133,1),(161,1)}
       148:{2,5,6}:{(130,1),(135,1),(159,1),(162,1)}
       149:{2,4,6,7}:{(130,1),(131,1),(133,1),(136,1),(160,1),(162,1)}
       150:{2,4,5,7}:{(132,1),(133,1),(134,1),(137,1),(161,1),(162,1),(163,1),(172,1)}
       151:{2,6,7}:{(134,1),(138,1)}
       152:{1,5,7}:{(135,1),(136,1),(143,1),(162,1)}
       153:{1,4,6,7}:{(137,1),(138,1),(144,1),(163,1),(164,1)}
       154:{4,5,6}:{(140,1),(165,1)}
       155:{4,6,7}:{(139,1),(165,1)}
       156:{3,5,7}:{(140,1),(141,1),(143,1),(165,1)}
       157:{3,4,6,7}:{(142,1),(144,1),(166,1)}
       158:{2,5,6,7}:{(143,1),(144,1),(164,1),(166,1)}
       159:{3,5,6}:{(145,1),(148,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(145,1),(147,1),(149,1),(168,1),(169,1),(174,1)}
       161:{3,5,7}:{(146,1),(147,1),(150,1),(169,1)}
       162:{2,5,7}:{(148,1),(149,1),(152,1),(168,1)}
       163:{2,4,6,7}:{(150,1),(151,1),(153,1),(169,1),(170,1),(174,1)}
       164:{1,5,6,7}:{(152,1),(153,1),(158,1),(170,1)}
       165:{4,5,7}:{(154,1),(155,1),(156,1)}
       166:{3,5,6,7}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,5,6}:{(159,1),(172,1)}
       168:{3,5,7}:{(159,1),(160,1),(162,1),(172,1)}
       169:{3,6,7}:{(161,1),(163,1)}
       170:{2,5,6,7}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6,7}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2385 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(163,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(118,1),(155,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(153,1),(170,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(33,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(118,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(99,1),(143,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(140,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(62,1),(68,1),(99,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(140,1)}
        17:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        18:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(77,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(80,1),(81,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(80,1),(126,1),(129,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(123,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(170,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(33,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(86,1),(92,1),(123,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(52,1),(54,1)}
        33:{1,2,5}:{(18,1),(53,1)}
        34:{2,3,4,7}:{(19,1),(52,1),(57,1),(71,1),(105,1)}
        35:{2,3,5}:{(19,1),(53,1),(56,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(62,1)}
        40:{3,5,6}:{(22,1),(62,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(105,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(55,1),(68,1),(69,1),(99,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(31,1),(32,1),(34,1),(72,1),(75,1),(92,1),(123,1)}
        53:{1,3,5}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        54:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        55:{1,2,5,6}:{(33,1),(36,1),(47,1),(76,1),(77,1),(78,1),(132,1)}
        56:{2,4,5}:{(35,1),(39,1),(74,1),(80,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(75,1),(79,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(40,1),(49,1),(76,1),(80,1),(81,1),(82,1),(126,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,5,7}:{(39,1),(79,1),(85,1),(86,1),(130,1)}
        62:{3,4,6}:{(39,1),(40,1),(80,1),(86,1)}
        63:{3,5,7}:{(40,1),(41,1),(86,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(123,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(80,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(96,1),(112,1),(140,1)}
        73:{2,3,5}:{(51,1),(53,1),(95,1)}
        74:{1,4,5}:{(53,1),(56,1),(95,1),(99,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(57,1),(96,1),(98,1),(100,1)}
        76:{1,3,5,6}:{(53,1),(55,1),(58,1),(68,1),(97,1),(99,1),(100,1),(101,1),(143,1)}
        77:{1,2,6}:{(54,1),(100,1)}
        78:{1,2,5,7}:{(55,1),(59,1),(69,1),(101,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(57,1),(61,1),(98,1),(104,1),(105,1),(146,1)}
        80:{2,4,6}:{(56,1),(58,1),(62,1),(99,1),(105,1)}
        81:{2,3,6}:{(57,1),(100,1),(104,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(63,1),(71,1),(101,1),(105,1),(106,1),(146,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(62,1),(103,1),(107,1),(108,1)}
        85:{3,4,6}:{(61,1),(104,1),(108,1)}
        86:{3,4,7}:{(62,1),(63,1),(105,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(99,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(105,1),(114,1),(115,1)}
        95:{2,4,5}:{(73,1),(74,1),(116,1),(118,1)}
        96:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(76,1),(90,1),(118,1),(119,1),(120,1),(132,1),(151,1),(155,1)}
        98:{1,4,5,7}:{(74,1),(75,1),(79,1),(117,1),(122,1),(123,1),(158,1)}
        99:{1,4,6}:{(74,1),(76,1),(80,1),(118,1),(123,1)}
       100:{1,3,6}:{(75,1),(77,1),(81,1),(119,1),(122,1)}
       101:{1,3,5,7}:{(76,1),(78,1),(82,1),(92,1),(120,1),(123,1),(124,1),(158,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(80,1),(84,1),(93,1),(121,1),(125,1),(126,1)}
       104:{2,4,6}:{(79,1),(81,1),(85,1),(122,1),(126,1)}
       105:{2,4,7}:{(80,1),(82,1),(86,1),(123,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(127,1)}
       107:{3,4,5,7}:{(84,1),(86,1),(125,1),(128,1),(130,1)}
       108:{3,5,6}:{(85,1),(126,1),(129,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(87,1),(127,1),(130,1),(131,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(123,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(139,1),(140,1),(166,1)}
       118:{2,4,6}:{(95,1),(97,1),(99,1),(137,1),(140,1)}
       119:{2,3,6}:{(96,1),(100,1),(139,1)}
       120:{2,3,5,7}:{(97,1),(101,1),(112,1),(140,1),(141,1),(149,1),(162,1),(166,1)}
       121:{1,4,5,6}:{(99,1),(103,1),(113,1),(138,1),(142,1),(143,1)}
       122:{1,4,6}:{(98,1),(100,1),(104,1),(139,1),(143,1)}
       123:{1,4,7}:{(99,1),(101,1),(105,1),(140,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(144,1)}
       125:{2,4,5,7}:{(103,1),(105,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,5,6}:{(104,1),(108,1),(143,1),(146,1)}
       127:{2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{4,5,6}:{(108,1),(148,1)}
       130:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(152,1),(153,1),(170,1)}
       137:{3,4,6}:{(116,1),(118,1),(151,1),(153,1)}
       138:{2,4,5,6}:{(118,1),(121,1),(132,1),(151,1),(154,1),(155,1),(169,1)}
       139:{2,4,6}:{(117,1),(119,1),(122,1),(152,1),(155,1)}
       140:{2,4,7}:{(118,1),(120,1),(123,1),(153,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(156,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(123,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,5,6}:{(122,1),(126,1),(155,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(130,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(130,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(137,1),(138,1),(162,1)}
       152:{3,4,6}:{(136,1),(139,1),(163,1)}
       153:{3,4,7}:{(137,1),(140,1),(162,1)}
       154:{2,4,5,7}:{(138,1),(140,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,5,6}:{(139,1),(143,1),(163,1),(166,1)}
       156:{2,4,6,7}:{(139,1),(140,1),(141,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(153,1),(154,1),(168,1)}
       163:{3,5,6}:{(152,1),(155,1),(169,1),(170,1)}
       164:{3,4,6,7}:{(152,1),(153,1),(156,1),(168,1),(170,1),(174,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(170,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{4,5,6}:{(163,1),(173,1)}
       170:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(170,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2386 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2387 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2388 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(40,1),(41,1),(92,1),(160,1),(165,1),(232,1),(239,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(64,1),(128,1),(262,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(29,1),(66,1),(124,1),(134,1),(139,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(38,1),(87,1),(92,1),(93,1),(160,1),(219,1),(226,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(164,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(280,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(47,1),(104,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(97,1),(107,1),(110,1),(159,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(115,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(183,1),(250,1)}
        11:{1,3,4,5,6}:{(5,1),(24,1),(25,1),(31,1),(55,1),(71,1),(78,1),(113,1),(138,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(65,1),(69,1),(129,1),(130,1),(134,1),(139,1),(195,1),(198,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(5,1),(22,1),(28,1),(197,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(257,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(61,1),(70,1),(119,1),(122,1),(124,1),(134,1),(140,1),(256,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(128,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(296,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(131,1),(196,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(83,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(14,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(42,1),(49,1),(81,1),(98,1),(106,1),(145,1),(170,1),(213,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(44,1),(45,1),(102,1),(174,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(46,1),(47,1),(96,1),(104,1),(233,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(40,1),(47,1),(48,1),(105,1),(166,1),(230,1),(232,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(38,1),(49,1),(160,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(279,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(159,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(104,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(107,1),(167,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(59,1),(61,1),(115,1),(119,1),(122,1),(183,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(29,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,5,7}:{(27,1),(64,1),(65,1),(129,1),(203,1),(259,1),(297,1)}
        41:{2,3,4,5}:{(63,1),(66,1),(143,1),(203,1),(210,1),(247,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(68,1),(132,1),(206,1),(257,1)}
        43:{1,2,4,6,7}:{(26,1),(30,1),(69,1),(70,1),(126,1),(134,1),(189,1),(195,1),(256,1)}
        44:{2,3,5,6}:{(25,1),(63,1),(67,1),(71,1),(78,1),(181,1)}
        45:{1,4,5,6}:{(25,1),(68,1),(71,1),(209,1),(296,1)}
        46:{1,2,5,6}:{(26,1),(32,1),(69,1),(73,1),(129,1),(199,1),(296,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(64,1),(262,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(65,1),(74,1),(134,1),(197,1),(204,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(75,1),(134,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(70,1),(76,1),(122,1),(196,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(73,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(37,1),(83,1),(84,1),(87,1),(144,1)}
        58:{2,3,4,5,7}:{(41,1),(85,1),(86,1),(92,1),(144,1),(176,1),(223,1),(239,1),(299,1),(303,1),(312,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(42,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(50,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(41,1),(44,1),(92,1),(94,1),(109,1),(174,1),(216,1),(234,1)}
        64:{2,3,6}:{(40,1),(47,1),(96,1),(306,1)}
        65:{2,4,7}:{(40,1),(48,1),(96,1),(237,1)}
        66:{1,3,4,5}:{(41,1),(94,1),(97,1),(166,1),(241,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(87,1),(92,1),(98,1),(106,1),(213,1)}
        68:{1,4,5,7}:{(42,1),(45,1),(88,1),(98,1),(238,1),(279,1)}
        69:{1,2,5,7}:{(43,1),(46,1),(50,1),(100,1),(161,1),(279,1)}
        70:{1,3,6,7}:{(43,1),(47,1),(51,1),(93,1),(100,1),(230,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(94,1),(98,1),(102,1)}
        72:{1,2,4,5,6}:{(45,1),(46,1),(52,1),(99,1),(102,1),(103,1),(104,1),(147,1),(162,1),(165,1),(174,1),(214,1),(228,1),(233,1),(241,1),(271,1),(280,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(53,1),(95,1),(100,1),(104,1),(105,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(96,1),(104,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(90,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(100,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(101,1),(107,1),(108,1),(157,1),(177,1),(226,1),(231,1),(283,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(104,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(105,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(60,1),(115,1),(116,1),(119,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(66,1),(117,1),(118,1),(124,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(183,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(68,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(69,1),(116,1),(120,1),(121,1),(189,1),(199,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(76,1),(121,1),(122,1),(123,1),(142,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(124,1),(140,1),(206,1),(244,1),(259,1)}
        93:{2,3,6,7}:{(64,1),(70,1),(125,1),(126,1),(259,1),(262,1)}
        94:{1,3,4,6}:{(63,1),(66,1),(71,1),(124,1),(127,1),(200,1),(209,1)}
        95:{2,3,5,6}:{(64,1),(73,1),(125,1),(128,1),(129,1),(199,1),(202,1),(262,1)}
        96:{2,4,6}:{(64,1),(65,1),(74,1),(129,1)}
        97:{2,4,5}:{(66,1),(127,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(119,1),(124,1),(132,1)}
        99:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(75,1),(120,1),(132,1),(133,1),(134,1),(179,1),(192,1),(195,1),(198,1),(206,1),(242,1),(257,1),(265,1),(287,1),(297,1),(308,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(73,1),(76,1),(125,1),(134,1)}
       101:{1,3,4,6,7}:{(70,1),(74,1),(77,1),(126,1),(134,1),(135,1),(197,1),(208,1),(256,1),(260,1),(262,1),(298,1)}
       102:{2,5,6}:{(71,1),(127,1),(132,1)}
       103:{1,3,5,6}:{(72,1),(78,1),(133,1),(137,1),(138,1),(181,1),(200,1),(202,1),(262,1),(264,1),(298,1),(310,1),(314,1)}
       104:{1,4,6}:{(73,1),(79,1),(128,1),(134,1),(139,1)}
       105:{1,3,5}:{(74,1),(80,1),(129,1),(139,1),(202,1)}
       106:{3,5,7}:{(75,1),(78,1),(122,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(134,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(135,1),(141,1),(142,1),(193,1),(257,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(139,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(229,1),(280,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(148,1),(157,1),(226,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(154,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(97,1),(151,1),(153,1),(159,1),(212,1),(268,1),(272,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(149,1),(154,1),(155,1),(156,1),(226,1),(233,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(100,1),(150,1),(155,1),(156,1),(172,1),(225,1),(227,1),(267,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(107,1),(156,1),(157,1),(158,1),(177,1),(299,1),(313,1)}
       124:{1,3,4,7}:{(92,1),(94,1),(98,1),(159,1),(230,1),(238,1)}
       125:{2,3,5,7}:{(93,1),(95,1),(100,1),(160,1),(161,1),(232,1)}
       126:{2,4,6,7}:{(93,1),(96,1),(101,1),(160,1),(161,1),(233,1),(281,1),(306,1)}
       127:{2,4,6}:{(94,1),(97,1),(102,1),(159,1),(163,1)}
       128:{2,4,6}:{(95,1),(104,1),(160,1),(164,1),(165,1)}
       129:{2,5}:{(96,1),(105,1)}
       130:{1,2,4,5}:{(97,1),(162,1),(166,1),(237,1),(241,1),(284,1)}
       131:{2,3,5}:{(97,1),(163,1),(166,1),(167,1)}
       132:{2,5,7}:{(98,1),(102,1),(154,1),(159,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(106,1),(155,1),(169,1),(170,1),(213,1),(230,1),(232,1),(312,1)}
       134:{1,4,7}:{(100,1),(104,1),(107,1),(160,1)}
       135:{1,3,5,7}:{(101,1),(105,1),(108,1),(161,1),(171,1),(172,1),(232,1),(279,1)}
       136:{1,2,5,6}:{(102,1),(162,1),(168,1),(173,1),(284,1),(306,1)}
       137:{2,3,5,6}:{(102,1),(103,1),(163,1),(169,1),(173,1),(174,1),(234,1),(236,1),(280,1),(283,1),(284,1),(306,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(109,1),(164,1),(170,1),(174,1),(175,1),(216,1),(271,1),(302,1)}
       139:{1,4,5}:{(104,1),(105,1),(110,1),(165,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(171,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(172,1),(177,1),(229,1),(280,1),(283,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(296,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(124,1),(178,1),(182,1),(183,1),(244,1),(248,1),(256,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(121,1),(125,1),(183,1),(184,1),(190,1),(199,1),(243,1),(250,1),(257,1),(262,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(130,1),(185,1),(187,1),(195,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(297,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(131,1),(186,1),(187,1),(188,1),(196,1),(254,1)}
       154:{2,6,7}:{(119,1),(132,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(133,1),(183,1),(190,1),(262,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(134,1),(184,1),(192,1),(208,1),(287,1),(309,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{2,4,7}:{(124,1),(127,1),(132,1),(196,1)}
       160:{2,4,7}:{(125,1),(128,1),(134,1),(197,1)}
       161:{2,5,7}:{(126,1),(129,1),(135,1),(199,1)}
       162:{1,2,4,6}:{(127,1),(130,1),(136,1),(195,1),(200,1),(209,1),(263,1)}
       163:{2,3,6}:{(127,1),(131,1),(196,1),(200,1)}
       164:{3,4,6}:{(128,1),(197,1),(202,1),(262,1)}
       165:{2,4,5}:{(128,1),(129,1),(139,1),(202,1)}
       166:{1,3,5}:{(130,1),(131,1),(200,1),(203,1),(204,1)}
       167:{2,3,4}:{(131,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(136,1),(189,1),(195,1),(205,1),(297,1)}
       169:{2,3,5,7}:{(132,1),(133,1),(137,1),(190,1),(196,1),(205,1),(206,1),(257,1),(259,1),(297,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(138,1),(140,1),(197,1),(206,1),(244,1),(287,1),(307,1)}
       171:{1,4,5,7}:{(134,1),(135,1),(139,1),(141,1),(198,1),(208,1)}
       172:{1,3,5,6}:{(135,1),(142,1),(199,1),(208,1),(262,1),(296,1),(298,1)}
       173:{1,3,5,6}:{(136,1),(137,1),(200,1),(205,1),(209,1),(264,1),(296,1),(298,1)}
       174:{2,4,6}:{(137,1),(138,1),(206,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(138,1),(139,1),(143,1),(202,1),(210,1),(247,1),(264,1),(291,1),(310,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(193,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(279,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(159,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(156,1),(160,1),(219,1),(220,1),(233,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(166,1),(221,1),(223,1),(224,1),(230,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(167,1),(222,1),(224,1),(268,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(169,1),(225,1),(226,1),(283,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(170,1),(219,1),(226,1),(227,1),(240,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(220,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{1,2,4,7}:{(159,1),(162,1),(168,1),(230,1),(238,1),(281,1)}
       196:{2,3,7}:{(159,1),(163,1),(230,1)}
       197:{3,4,7}:{(160,1),(164,1),(232,1)}
       198:{2,4,5,7}:{(160,1),(161,1),(165,1),(171,1),(232,1),(233,1)}
       199:{2,5,6}:{(161,1),(172,1),(233,1),(306,1)}
       200:{1,3,6}:{(162,1),(163,1),(166,1),(230,1),(234,1)}
       201:{2,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(231,1),(235,1),(236,1),(283,1),(302,1)}
       202:{3,5}:{(164,1),(165,1)}
       203:{2,3,5}:{(166,1),(234,1),(237,1),(284,1)}
       204:{1,3,4}:{(166,1),(167,1),(237,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(173,1),(225,1),(230,1),(238,1),(279,1)}
       206:{2,4,7}:{(169,1),(170,1),(174,1),(238,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(175,1),(176,1),(227,1),(232,1),(239,1),(240,1),(269,1),(282,1),(300,1),(312,1)}
       208:{1,4,6}:{(171,1),(172,1),(177,1),(233,1)}
       209:{1,4,6}:{(173,1),(174,1),(238,1),(241,1)}
       210:{2,4,5}:{(174,1),(175,1),(236,1),(241,1),(284,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(296,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(195,1),(242,1),(248,1),(256,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(196,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(197,1),(244,1),(250,1),(262,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(192,1),(250,1),(251,1),(257,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(203,1),(252,1),(255,1),(259,1),(295,1),(297,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(204,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(206,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(250,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(208,1),(251,1),(258,1),(296,1),(309,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(259,1)}
       231:{2,3,4,7}:{(196,1),(197,1),(201,1),(206,1),(260,1),(261,1),(307,1)}
       232:{3,5,7}:{(197,1),(198,1),(202,1),(262,1)}
       233:{2,4,6}:{(198,1),(199,1),(208,1),(262,1)}
       234:{2,3,6}:{(200,1),(203,1),(259,1),(263,1)}
       235:{1,3,4,6}:{(200,1),(201,1),(204,1),(209,1),(260,1),(263,1),(264,1),(298,1)}
       236:{2,3,5}:{(201,1),(202,1),(210,1),(264,1),(310,1)}
       237:{2,4}:{(203,1),(204,1)}
       238:{1,4,7}:{(205,1),(206,1),(209,1)}
       239:{2,4,5,7}:{(206,1),(207,1),(210,1),(257,1),(261,1),(265,1),(266,1),(297,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(258,1),(262,1),(266,1),(289,1),(298,1),(309,1),(314,1)}
       241:{1,4,5}:{(209,1),(210,1),(264,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(279,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(230,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(231,1),(268,1),(274,1),(275,1),(283,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(233,1),(276,1),(280,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(237,1),(277,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(240,1),(276,1),(280,1)}
       259:{2,3,7}:{(230,1),(234,1),(281,1)}
       260:{1,3,4,7}:{(230,1),(231,1),(235,1),(238,1),(281,1),(282,1)}
       261:{2,3,5,7}:{(231,1),(232,1),(236,1),(239,1),(282,1),(283,1),(312,1)}
       262:{3,6}:{(232,1),(233,1)}
       263:{2,4,6}:{(234,1),(235,1),(237,1),(281,1),(284,1),(306,1)}
       264:{1,3,5}:{(235,1),(236,1),(241,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(279,1),(282,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(280,1),(283,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(259,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(260,1),(287,1),(292,1),(293,1),(298,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(257,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(262,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(263,1),(297,1)}
       282:{1,3,5,7}:{(260,1),(261,1),(264,1),(265,1),(297,1),(298,1)}
       283:{2,3,6}:{(261,1),(262,1),(266,1),(298,1),(314,1)}
       284:{2,5}:{(263,1),(264,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(281,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(279,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(280,1),(283,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(284,1),(306,1)}
       298:{1,3,6}:{(282,1),(283,1),(285,1),(306,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(296,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2389 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(51,1),(118,1),(132,1),(181,1),(185,1),(203,1),(218,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(29,1),(32,1),(234,1),(235,1),(261,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(39,1),(87,1),(96,1),(163,1),(173,1),(175,1),(231,1),(263,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(82,1),(159,1),(225,1),(230,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(304,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(54,1),(279,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(130,1),(307,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(63,1),(64,1),(130,1),(220,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(54,1),(122,1),(131,1),(276,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(48,1),(116,1),(195,1),(203,1),(218,1),(269,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(268,1),(274,1)}
        11:{1,2,3,6,7}:{(5,1),(23,1),(24,1),(85,1),(143,1),(232,1),(235,1),(321,1),(322,1),(385,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(28,1),(29,1),(30,1),(163,1),(342,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(29,1),(31,1),(32,1),(81,1),(87,1),(88,1),(163,1),(231,1),(234,1),(258,1),(340,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(30,1),(32,1)}
        15:{1,2,3,5,6}:{(5,1),(24,1),(32,1),(33,1),(71,1),(86,1),(90,1),(143,1),(167,1),(260,1),(261,1),(322,1),(341,1),(384,1),(387,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(29,1),(35,1),(36,1),(265,1),(343,1)}
        17:{2,3,4,6}:{(6,1),(30,1),(35,1),(36,1),(95,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(77,1),(85,1),(150,1),(163,1),(173,1),(242,1),(263,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(38,1),(39,1),(40,1),(98,1),(317,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(310,1),(316,1)}
        22:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(159,1)}
        23:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(105,1),(189,1),(275,1),(279,1),(358,1)}
        24:{1,2,3,5,7}:{(11,1),(15,1),(44,1),(45,1),(106,1),(121,1),(212,1),(303,1),(372,1),(404,1)}
        25:{2,3,4,6,7}:{(17,1),(43,1),(46,1),(61,1),(107,1),(109,1),(130,1),(187,1),(192,1),(275,1),(402,1),(403,1),(422,1)}
        26:{2,3,5,6,7}:{(21,1),(47,1),(48,1),(50,1),(114,1),(195,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(267,1),(290,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(203,1),(370,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(54,1),(55,1),(302,1),(372,1)}
        30:{1,3,4,6}:{(12,1),(14,1),(17,1),(52,1),(54,1),(55,1),(122,1)}
        31:{1,2,4,6}:{(13,1),(18,1),(54,1),(57,1),(115,1),(122,1),(276,1),(279,1)}
        32:{1,2,5}:{(14,1),(55,1)}
        33:{1,2,4,6}:{(15,1),(45,1),(58,1),(59,1),(122,1),(210,1),(304,1),(405,1)}
        34:{2,3,4,5,7}:{(16,1),(53,1),(60,1),(63,1),(110,1),(128,1),(130,1),(185,1),(205,1),(294,1)}
        35:{2,3,6}:{(16,1),(18,1),(54,1)}
        36:{2,3,5}:{(17,1),(55,1),(63,1)}
        37:{2,4,6,7}:{(18,1),(19,1),(61,1),(64,1),(130,1),(287,1),(305,1)}
        38:{2,5,6}:{(18,1),(20,1),(64,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(21,1),(64,1),(66,1),(133,1),(353,1)}
        40:{1,4,5,6}:{(20,1),(22,1),(65,1),(66,1),(122,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(48,1),(66,1),(68,1),(203,1)}
        42:{3,4,5,6}:{(22,1),(68,1),(204,1),(268,1)}
        43:{1,3,4,6,7}:{(23,1),(25,1),(30,1),(69,1),(70,1),(73,1),(85,1),(140,1),(143,1),(145,1),(163,1),(233,1),(318,1),(385,1),(386,1),(417,1)}
        44:{1,2,5,7}:{(23,1),(32,1),(70,1),(71,1),(316,1),(387,1)}
        45:{1,2,4,7}:{(24,1),(33,1),(73,1),(163,1),(256,1),(417,1)}
        46:{2,3,5,7}:{(25,1),(36,1),(70,1),(74,1),(75,1),(237,1),(316,1),(416,1)}
        47:{1,3,5,6,7}:{(26,1),(39,1),(76,1),(77,1),(150,1),(155,1),(242,1)}
        48:{2,4,6,7}:{(26,1),(41,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(155,1),(227,1),(245,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(310,1),(331,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(81,1),(82,1),(83,1),(337,1),(395,1)}
        52:{2,3,4,6}:{(28,1),(30,1),(82,1),(83,1),(159,1)}
        53:{1,3,4,5,7}:{(29,1),(34,1),(81,1),(84,1),(87,1),(160,1),(161,1),(163,1),(231,1),(250,1),(252,1),(335,1)}
        54:{1,3,6}:{(29,1),(31,1),(35,1),(82,1)}
        55:{1,3,5}:{(30,1),(32,1),(36,1),(83,1),(87,1)}
        56:{1,2,4,6,7}:{(31,1),(37,1),(85,1),(88,1),(156,1),(163,1),(318,1),(321,1),(340,1)}
        57:{1,2,5,6}:{(31,1),(32,1),(38,1),(86,1),(88,1),(157,1),(317,1)}
        58:{1,2,4,5}:{(32,1),(33,1),(87,1),(90,1),(165,1),(387,1),(418,1)}
        59:{1,3,4,6}:{(33,1),(73,1),(90,1),(91,1),(143,1),(341,1),(342,1)}
        60:{2,3,4,6}:{(34,1),(35,1),(84,1),(93,1),(95,1),(148,1),(230,1)}
        61:{2,3,6,7}:{(35,1),(37,1),(85,1),(94,1),(150,1),(343,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(38,1),(86,1),(94,1),(95,1),(98,1)}
        63:{2,4,5}:{(36,1),(87,1),(95,1),(96,1)}
        64:{2,5,7}:{(37,1),(38,1),(39,1)}
        65:{2,4,5,6}:{(38,1),(40,1),(95,1),(97,1),(98,1)}
        66:{1,4,5,7}:{(39,1),(40,1),(41,1),(77,1),(97,1),(163,1)}
        67:{1,3,4,5,6}:{(40,1),(42,1),(98,1),(99,1),(100,1),(152,1),(164,1),(177,1),(228,1),(244,1),(330,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(250,1),(310,1)}
        69:{2,3,4,6,7}:{(43,1),(52,1),(101,1),(107,1),(116,1),(180,1),(187,1),(203,1),(269,1),(275,1),(361,1),(362,1),(407,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(46,1),(55,1),(101,1),(102,1),(103,1),(353,1),(406,1)}
        71:{1,2,5,6}:{(44,1),(102,1),(105,1),(274,1),(279,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(58,1),(103,1),(105,1),(106,1),(185,1)}
        73:{1,3,4,7}:{(45,1),(59,1),(106,1),(107,1),(372,1)}
        74:{2,3,5,6}:{(46,1),(102,1),(109,1),(187,1),(191,1),(274,1)}
        75:{2,4,5,7}:{(46,1),(63,1),(103,1),(109,1),(110,1),(130,1),(422,1),(423,1)}
        76:{2,5,6,7}:{(47,1),(64,1),(111,1),(287,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(66,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(190,1),(199,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(273,1)}
        81:{2,4,5,7}:{(51,1),(53,1),(115,1),(118,1),(201,1),(203,1),(296,1),(368,1)}
        82:{2,3,6}:{(51,1),(54,1),(115,1)}
        83:{2,3,5}:{(52,1),(55,1),(118,1)}
        84:{1,3,4,6}:{(53,1),(54,1),(60,1),(115,1),(120,1),(122,1),(204,1),(276,1)}
        85:{1,3,6,7}:{(54,1),(56,1),(61,1),(116,1),(121,1),(372,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(57,1),(62,1),(117,1),(121,1),(122,1)}
        87:{1,4,5}:{(55,1),(63,1),(118,1),(122,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(64,1),(121,1),(201,1),(353,1)}
        89:{1,2,4,5,6}:{(57,1),(58,1),(65,1),(105,1),(122,1),(124,1),(125,1),(136,1),(182,1),(202,1),(210,1),(222,1),(274,1),(289,1),(299,1),(301,1),(354,1),(367,1),(398,1),(405,1)}
        90:{1,3,5}:{(58,1),(59,1),(126,1)}
        91:{2,3,4,6}:{(59,1),(107,1),(126,1),(127,1),(187,1),(210,1),(306,1),(307,1),(369,1),(370,1)}
        92:{2,3,4,6,7}:{(60,1),(61,1),(119,1),(128,1),(130,1),(192,1),(216,1),(275,1),(294,1),(365,1)}
        93:{2,3,5,6}:{(60,1),(120,1),(128,1),(129,1),(191,1),(274,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(64,1),(121,1),(130,1),(133,1)}
        95:{2,4,6}:{(62,1),(63,1),(122,1),(130,1),(131,1)}
        96:{3,4,5}:{(63,1),(131,1)}
        97:{2,4,5,7}:{(64,1),(65,1),(66,1),(111,1),(130,1),(133,1)}
        98:{3,5,6}:{(65,1),(131,1),(133,1)}
        99:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(133,1),(135,1),(197,1),(209,1),(221,1),(273,1),(288,1),(363,1)}
       100:{2,4,5,6}:{(67,1),(134,1),(135,1),(136,1),(210,1),(222,1),(274,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(83,1),(137,1),(138,1),(310,1),(316,1),(390,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(74,1),(137,1),(140,1),(143,1),(233,1),(317,1)}
       103:{1,4,5,7}:{(70,1),(75,1),(87,1),(138,1),(140,1),(163,1),(417,1),(418,1)}
       104:{1,2,5,6,7}:{(71,1),(76,1),(88,1),(139,1),(142,1),(155,1),(246,1),(247,1),(316,1),(321,1),(382,1),(383,1),(413,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(140,1),(143,1),(230,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(90,1),(143,1),(144,1)}
       107:{2,3,4,7}:{(73,1),(91,1),(144,1),(145,1),(256,1),(343,1),(395,1)}
       108:{2,3,5,6,7}:{(74,1),(76,1),(94,1),(139,1),(147,1),(150,1),(232,1),(237,1),(316,1),(413,1),(414,1),(424,1)}
       109:{2,4,6}:{(74,1),(75,1),(140,1),(148,1)}
       110:{3,4,5,7}:{(75,1),(96,1),(148,1),(173,1),(237,1),(425,1),(426,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(97,1),(150,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(99,1),(150,1),(151,1),(153,1),(242,1),(245,1),(331,1)}
       113:{3,5,6,7}:{(79,1),(150,1),(153,1),(237,1)}
       114:{2,5,6,7}:{(80,1),(151,1),(155,1),(316,1)}
       115:{2,4,6}:{(81,1),(82,1),(84,1),(157,1)}
       116:{2,3,6,7}:{(82,1),(85,1),(156,1),(158,1),(332,1),(395,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(157,1),(158,1),(159,1),(249,1)}
       118:{2,4,5}:{(83,1),(87,1),(159,1),(160,1)}
       119:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(156,1),(161,1),(163,1),(250,1),(253,1),(318,1),(332,1),(335,1),(393,1)}
       120:{1,3,5,6}:{(84,1),(93,1),(157,1),(161,1),(162,1),(249,1),(317,1)}
       121:{1,3,5,7}:{(85,1),(86,1),(88,1),(94,1),(158,1),(163,1)}
       122:{1,4,6}:{(86,1),(87,1),(95,1),(159,1),(163,1)}
       123:{1,3,4,5}:{(87,1),(90,1),(96,1),(160,1),(164,1),(165,1),(392,1),(418,1),(426,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(97,1),(142,1),(163,1),(166,1),(178,1),(227,1),(248,1),(256,1),(266,1),(316,1),(329,1),(339,1),(340,1),(383,1),(394,1),(411,1),(417,1)}
       125:{1,3,5,6}:{(89,1),(90,1),(98,1),(143,1),(164,1),(166,1),(167,1),(249,1),(330,1),(341,1),(412,1)}
       126:{2,3,5}:{(90,1),(91,1),(165,1),(168,1)}
       127:{1,3,4,6}:{(91,1),(145,1),(168,1),(169,1),(233,1),(257,1),(341,1),(342,1)}
       128:{2,3,5,7}:{(92,1),(93,1),(161,1),(171,1),(237,1),(316,1)}
       129:{2,4,5,6}:{(93,1),(95,1),(162,1),(171,1),(172,1)}
       130:{2,4,7}:{(94,1),(95,1),(163,1),(173,1)}
       131:{3,4,6}:{(95,1),(96,1),(98,1),(173,1)}
       132:{2,3,4,5}:{(96,1),(165,1),(174,1),(175,1),(337,1),(392,1)}
       133:{3,5,7}:{(97,1),(98,1),(150,1),(173,1)}
       134:{2,3,5,6}:{(98,1),(100,1),(174,1),(176,1),(177,1),(330,1)}
       135:{2,4,5,7}:{(99,1),(100,1),(151,1),(176,1),(178,1),(256,1),(266,1),(316,1)}
       136:{1,4,5,6}:{(100,1),(177,1),(178,1),(257,1),(317,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(180,1),(187,1),(268,1),(274,1)}
       138:{2,4,5,7}:{(101,1),(103,1),(118,1),(180,1),(181,1),(203,1),(407,1),(408,1)}
       139:{1,3,5,6,7}:{(102,1),(104,1),(108,1),(121,1),(179,1),(183,1),(186,1),(273,1),(278,1),(353,1),(404,1)}
       140:{1,4,6}:{(102,1),(103,1),(109,1),(180,1)}
       141:{1,3,4,5,7}:{(103,1),(106,1),(110,1),(123,1),(181,1),(184,1),(185,1),(209,1),(273,1)}
       142:{1,2,4,6,7}:{(104,1),(105,1),(111,1),(124,1),(183,1),(186,1),(196,1),(275,1),(287,1),(290,1),(291,1),(371,1),(409,1),(419,1)}
       143:{1,3,6}:{(105,1),(106,1),(187,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(126,1),(185,1),(187,1),(188,1)}
       145:{1,3,4,7}:{(107,1),(127,1),(188,1),(189,1),(300,1),(372,1)}
       146:{2,4,5,6}:{(109,1),(182,1),(190,1),(191,1),(274,1)}
       147:{2,4,6,7}:{(108,1),(109,1),(130,1),(183,1),(190,1),(192,1),(422,1)}
       148:{3,4,6}:{(109,1),(110,1),(191,1)}
       149:{2,3,4,5,7}:{(110,1),(132,1),(185,1),(193,1),(194,1),(218,1),(282,1),(351,1),(422,1),(423,1)}
       150:{3,6,7}:{(111,1),(133,1)}
       151:{2,4,6,7}:{(112,1),(114,1),(135,1),(195,1),(196,1),(287,1)}
       152:{3,4,5,6}:{(191,1),(197,1),(198,1),(421,1)}
       153:{3,4,6,7}:{(113,1),(197,1),(199,1)}
       154:{2,3,5,6,7}:{(113,1),(114,1),(195,1),(199,1),(200,1),(282,1)}
       155:{1,5,6,7}:{(114,1),(196,1),(353,1)}
       156:{2,4,6,7}:{(115,1),(116,1),(119,1),(201,1),(203,1),(368,1),(409,1)}
       157:{2,5,6}:{(115,1),(120,1),(201,1)}
       158:{2,3,5,7}:{(116,1),(117,1),(121,1),(201,1),(203,1),(292,1)}
       159:{2,4,6}:{(117,1),(118,1),(122,1),(203,1),(204,1)}
       160:{3,4,5}:{(118,1),(204,1)}
       161:{1,3,5,7}:{(119,1),(120,1),(128,1),(201,1),(207,1),(292,1),(353,1)}
       162:{1,4,5,6}:{(120,1),(122,1),(129,1),(202,1),(207,1)}
       163:{1,4,7}:{(121,1),(122,1),(130,1),(203,1)}
       164:{1,3,4,6}:{(122,1),(123,1),(125,1),(131,1),(204,1),(209,1),(210,1),(364,1),(405,1),(421,1)}
       165:{2,4,5}:{(123,1),(126,1),(210,1),(211,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(133,1),(186,1),(209,1),(212,1),(292,1),(363,1),(372,1),(420,1)}
       167:{2,3,5,6}:{(125,1),(126,1),(187,1),(210,1),(212,1),(213,1),(222,1),(274,1),(306,1),(367,1),(369,1)}
       168:{1,3,5}:{(126,1),(127,1),(211,1),(214,1)}
       169:{1,2,4,6}:{(127,1),(189,1),(214,1),(215,1),(279,1),(304,1)}
       170:{2,3,5,6,7}:{(128,1),(206,1),(216,1),(281,1),(352,1),(365,1)}
       171:{2,4,5,7}:{(128,1),(129,1),(130,1),(207,1),(216,1),(217,1)}
       172:{3,4,5,6}:{(129,1),(131,1),(191,1),(217,1)}
       173:{3,4,7}:{(130,1),(131,1),(133,1)}
       174:{2,3,4,6}:{(131,1),(132,1),(134,1),(210,1),(218,1),(219,1),(364,1),(369,1)}
       175:{1,3,4,5}:{(132,1),(211,1),(219,1),(220,1),(302,1)}
       176:{2,3,5,7}:{(133,1),(134,1),(135,1),(195,1),(218,1),(221,1),(363,1)}
       177:{1,3,5,6}:{(134,1),(136,1),(219,1),(221,1),(222,1)}
       178:{1,4,5,7}:{(135,1),(136,1),(196,1),(221,1),(300,1),(353,1)}
       179:{2,3,5,6,7}:{(137,1),(139,1),(158,1),(224,1),(232,1),(246,1),(247,1),(310,1),(316,1),(331,1),(332,1),(388,1)}
       180:{2,4,6}:{(137,1),(138,1),(140,1),(225,1)}
       181:{3,4,5,7}:{(138,1),(160,1),(225,1),(250,1),(310,1),(391,1),(392,1)}
       182:{1,4,5,6}:{(140,1),(146,1),(223,1),(227,1),(228,1),(317,1)}
       183:{1,4,6,7}:{(139,1),(140,1),(147,1),(163,1),(224,1),(227,1),(417,1)}
       184:{1,3,4,6}:{(140,1),(141,1),(143,1),(148,1),(225,1),(228,1),(230,1)}
       185:{2,4,5,7}:{(141,1),(144,1),(165,1),(230,1),(231,1),(256,1),(316,1)}
       186:{1,3,6,7}:{(142,1),(143,1),(150,1),(166,1),(232,1),(331,1),(332,1),(424,1)}
       187:{2,3,6}:{(143,1),(144,1),(230,1),(233,1)}
       188:{1,3,5,7}:{(144,1),(145,1),(168,1),(231,1),(233,1),(234,1)}
       189:{1,2,4,7}:{(145,1),(169,1),(234,1),(235,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(227,1),(237,1),(316,1)}
       191:{3,5,6}:{(146,1),(148,1),(237,1)}
       192:{3,4,6,7}:{(147,1),(148,1),(150,1),(173,1),(237,1),(424,1),(425,1)}
       193:{2,3,4,6}:{(148,1),(149,1),(230,1),(238,1),(240,1),(380,1),(415,1)}
       194:{1,3,4,5,7}:{(149,1),(175,1),(231,1),(240,1),(241,1),(263,1),(320,1),(324,1),(391,1),(392,1),(417,1),(418,1)}
       195:{2,3,6,7}:{(150,1),(151,1),(176,1),(242,1),(331,1)}
       196:{1,4,6,7}:{(151,1),(155,1),(178,1),(242,1)}
       197:{3,4,5,7}:{(152,1),(153,1),(237,1),(243,1),(425,1)}
       198:{2,4,5,6}:{(152,1),(238,1),(243,1),(244,1),(415,1)}
       199:{2,4,6,7}:{(153,1),(154,1),(243,1),(245,1)}
       200:{1,3,5,6,7}:{(154,1),(155,1),(242,1),(245,1),(246,1),(324,1),(331,1)}
       201:{2,5,7}:{(156,1),(157,1),(161,1)}
       202:{2,4,5,6}:{(157,1),(159,1),(162,1),(248,1),(249,1)}
       203:{2,4,7}:{(158,1),(159,1),(163,1),(250,1)}
       204:{3,4,6}:{(159,1),(160,1),(249,1),(250,1)}
       205:{2,3,4,5}:{(160,1),(165,1),(251,1),(252,1),(265,1),(426,1)}
       206:{1,3,5,6,7}:{(161,1),(170,1),(247,1),(253,1),(332,1),(382,1),(393,1)}
       207:{1,4,5,7}:{(161,1),(162,1),(163,1),(171,1),(248,1),(253,1)}
       208:{1,3,4,5,6}:{(162,1),(164,1),(172,1),(228,1),(249,1),(254,1),(255,1),(308,1),(334,1),(375,1),(412,1)}
       209:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1),(250,1),(256,1),(391,1),(417,1),(425,1)}
       210:{2,4,6}:{(164,1),(165,1),(167,1),(256,1),(257,1)}
       211:{1,4,5}:{(165,1),(168,1),(257,1)}
       212:{2,3,5,7}:{(166,1),(167,1),(232,1),(256,1),(259,1),(266,1),(316,1),(343,1),(394,1),(395,1)}
       213:{1,3,5,6}:{(167,1),(168,1),(233,1),(257,1),(259,1),(260,1),(317,1),(341,1)}
       214:{1,2,5}:{(168,1),(169,1)}
       215:{1,2,3,6}:{(169,1),(235,1),(261,1),(341,1)}
       216:{2,4,6,7}:{(170,1),(171,1),(253,1),(262,1)}
       217:{3,4,5,7}:{(171,1),(172,1),(173,1),(237,1),(262,1)}
       218:{2,3,4,7}:{(173,1),(174,1),(176,1),(256,1),(263,1),(391,1),(395,1)}
       219:{1,3,4,6}:{(174,1),(175,1),(177,1),(257,1),(263,1),(264,1),(341,1)}
       220:{2,4,5}:{(175,1),(264,1),(265,1)}
       221:{1,3,5,7}:{(176,1),(177,1),(178,1),(242,1),(263,1),(266,1)}
       222:{2,5,6}:{(177,1),(264,1),(266,1)}
       223:{2,4,5,6}:{(180,1),(182,1),(267,1),(268,1),(274,1)}
       224:{2,4,6,7}:{(179,1),(180,1),(183,1),(203,1),(267,1),(269,1),(407,1)}
       225:{3,4,6}:{(180,1),(181,1),(268,1)}
       226:{2,3,4,5,7}:{(181,1),(185,1),(205,1),(270,1),(271,1),(286,1),(294,1),(347,1),(407,1),(408,1)}
       227:{1,4,5,7}:{(182,1),(183,1),(190,1),(267,1),(273,1),(353,1)}
       228:{1,3,5,6}:{(182,1),(184,1),(191,1),(268,1),(273,1),(274,1)}
       229:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(192,1),(209,1),(269,1),(273,1),(275,1)}
       230:{2,4,6}:{(184,1),(185,1),(187,1),(274,1),(276,1)}
       231:{1,4,5,7}:{(185,1),(188,1),(211,1),(276,1),(300,1),(353,1)}
       232:{2,3,6,7}:{(186,1),(187,1),(212,1),(275,1),(278,1),(287,1),(409,1)}
       233:{1,3,6}:{(187,1),(188,1),(276,1),(279,1)}
       234:{1,2,5,7}:{(188,1),(189,1),(214,1),(279,1)}
       235:{1,2,3,7}:{(189,1),(215,1),(372,1)}
       236:{2,4,5,6,7}:{(190,1),(216,1),(272,1),(281,1),(352,1),(419,1)}
       237:{3,5,7}:{(190,1),(191,1),(192,1)}
       238:{2,3,5,6}:{(191,1),(193,1),(198,1),(274,1),(282,1),(283,1)}
       239:{2,3,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(218,1),(275,1),(282,1),(284,1),(402,1),(422,1)}
       240:{1,3,4,6}:{(193,1),(194,1),(276,1),(283,1),(285,1),(356,1),(364,1),(405,1)}
       241:{2,4,5,7}:{(194,1),(220,1),(285,1),(286,1),(305,1),(359,1),(407,1),(408,1)}
       242:{1,3,6,7}:{(195,1),(196,1),(221,1),(287,1)}
       243:{2,4,5,7}:{(197,1),(198,1),(199,1),(282,1),(288,1),(422,1)}
       244:{1,4,5,6}:{(198,1),(283,1),(288,1),(289,1),(405,1)}
       245:{1,4,6,7}:{(199,1),(200,1),(288,1),(290,1)}
       246:{2,5,6,7}:{(200,1),(287,1),(290,1),(359,1)}
       247:{2,5,6,7}:{(201,1),(206,1),(291,1),(409,1)}
       248:{2,4,5,7}:{(201,1),(202,1),(203,1),(207,1),(291,1),(292,1)}
       249:{3,5,6}:{(202,1),(204,1),(292,1)}
       250:{3,4,7}:{(203,1),(204,1),(292,1)}
       251:{2,3,4,6}:{(204,1),(205,1),(210,1),(293,1),(294,1),(295,1),(306,1),(421,1)}
       252:{1,3,4,5}:{(205,1),(211,1),(295,1),(296,1),(302,1)}
       253:{1,4,6,7}:{(206,1),(207,1),(216,1),(291,1)}
       254:{1,3,4,5,7}:{(207,1),(208,1),(209,1),(217,1),(273,1),(292,1),(297,1),(298,1),(344,1),(366,1),(397,1),(420,1)}
       255:{2,4,5,6}:{(208,1),(210,1),(274,1),(293,1),(298,1),(299,1),(367,1)}
       256:{2,4,7}:{(209,1),(210,1),(212,1),(300,1)}
       257:{1,4,6}:{(210,1),(211,1),(213,1),(300,1)}
       258:{1,2,4,5}:{(211,1),(214,1),(220,1),(296,1),(301,1),(302,1),(304,1)}
       259:{1,3,5,7}:{(212,1),(213,1),(278,1),(300,1),(303,1),(353,1),(372,1)}
       260:{1,2,5,6}:{(213,1),(214,1),(222,1),(279,1),(301,1),(303,1),(367,1)}
       261:{1,2,3,5}:{(214,1),(215,1),(302,1),(304,1)}
       262:{3,4,6,7}:{(216,1),(217,1),(281,1)}
       263:{1,3,4,7}:{(218,1),(219,1),(221,1),(300,1),(305,1),(372,1)}
       264:{2,4,6}:{(219,1),(220,1),(222,1),(305,1),(306,1)}
       265:{2,3,5}:{(220,1),(302,1),(306,1),(307,1)}
       266:{2,5,7}:{(221,1),(222,1),(287,1),(305,1)}
       267:{2,4,5,7}:{(223,1),(224,1),(227,1),(310,1),(316,1)}
       268:{3,5,6}:{(223,1),(225,1),(310,1)}
       269:{3,4,6,7}:{(224,1),(225,1),(250,1),(310,1),(331,1),(332,1),(391,1)}
       270:{2,3,4,6}:{(225,1),(226,1),(230,1),(311,1),(313,1),(327,1),(389,1)}
       271:{1,3,4,5,7}:{(226,1),(231,1),(252,1),(313,1),(314,1),(320,1),(335,1),(377,1),(417,1),(418,1),(425,1),(426,1)}
       272:{1,4,5,6,7}:{(227,1),(236,1),(253,1),(309,1),(315,1),(382,1),(410,1)}
       273:{1,3,5,7}:{(227,1),(228,1),(229,1),(237,1),(310,1),(316,1)}
       274:{2,5,6}:{(228,1),(230,1),(316,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(232,1),(256,1),(316,1),(318,1)}
       276:{1,4,6}:{(230,1),(231,1),(233,1),(317,1)}
       277:{1,2,4,5,7}:{(231,1),(234,1),(241,1),(258,1),(314,1),(319,1),(320,1),(323,1),(340,1),(383,1),(387,1),(417,1),(418,1)}
       278:{1,3,6,7}:{(232,1),(233,1),(259,1),(318,1),(321,1)}
       279:{1,2,6}:{(233,1),(234,1)}
       280:{1,2,3,5,7}:{(234,1),(235,1),(261,1),(320,1),(322,1),(323,1),(387,1)}
       281:{3,5,6,7}:{(236,1),(237,1),(262,1),(424,1)}
       282:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(316,1),(324,1)}
       283:{1,3,5,6}:{(238,1),(240,1),(244,1),(317,1),(324,1),(325,1),(330,1)}
       284:{1,3,4,6,7}:{(239,1),(240,1),(242,1),(245,1),(263,1),(318,1),(324,1),(326,1),(331,1),(385,1),(391,1),(417,1)}
       285:{2,4,6}:{(240,1),(241,1),(325,1),(327,1)}
       286:{2,3,5,7}:{(241,1),(265,1),(320,1),(327,1),(328,1),(343,1),(390,1)}
       287:{2,6,7}:{(242,1),(266,1)}
       288:{1,4,5,7}:{(243,1),(244,1),(245,1),(324,1),(329,1),(417,1)}
       289:{2,4,5,6}:{(244,1),(325,1),(329,1),(330,1),(389,1)}
       290:{2,4,6,7}:{(245,1),(246,1),(329,1),(331,1)}
       291:{2,4,6,7}:{(247,1),(248,1),(253,1),(332,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1),(332,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(255,1),(333,1),(334,1),(412,1)}
       294:{2,3,4,7}:{(250,1),(251,1),(256,1),(333,1),(335,1),(343,1),(425,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(257,1),(334,1),(335,1),(336,1),(341,1)}
       296:{2,4,5}:{(252,1),(336,1),(337,1)}
       297:{1,3,4,6,7}:{(253,1),(254,1),(262,1),(315,1),(332,1),(338,1),(373,1),(393,1),(410,1),(424,1)}
       298:{2,4,5,7}:{(254,1),(255,1),(256,1),(316,1),(333,1),(338,1),(339,1),(394,1)}
       299:{1,4,5,6}:{(255,1),(257,1),(317,1),(334,1),(339,1)}
       300:{1,4,7}:{(256,1),(257,1),(259,1)}
       301:{1,2,4,6}:{(257,1),(258,1),(260,1),(264,1),(336,1),(340,1),(341,1)}
       302:{1,3,5}:{(258,1),(265,1),(337,1),(341,1),(342,1)}
       303:{1,2,5,7}:{(259,1),(260,1),(266,1),(321,1),(340,1),(394,1)}
       304:{1,2,4}:{(261,1),(342,1)}
       305:{2,4,7}:{(263,1),(264,1),(266,1),(343,1)}
       306:{2,3,6}:{(264,1),(265,1),(341,1),(343,1)}
       307:{2,3,4}:{(265,1),(342,1)}
       308:{3,4,5,6}:{(268,1),(344,1),(345,1),(364,1)}
       309:{2,4,5,6,7}:{(267,1),(272,1),(291,1),(346,1),(352,1),(396,1)}
       310:{3,5,7}:{(267,1),(268,1),(269,1)}
       311:{2,3,5,6}:{(268,1),(270,1),(274,1),(345,1),(347,1),(348,1)}
       312:{2,3,4,6,7}:{(269,1),(270,1),(275,1),(294,1),(347,1),(349,1),(361,1),(365,1),(396,1),(407,1)}
       313:{1,3,4,6}:{(270,1),(271,1),(276,1),(348,1),(350,1),(356,1),(405,1),(421,1)}
       314:{2,4,5,7}:{(271,1),(296,1),(350,1),(351,1),(368,1),(400,1),(422,1),(423,1)}
       315:{1,3,5,6,7}:{(272,1),(273,1),(281,1),(297,1),(346,1),(352,1)}
       316:{2,5,7}:{(273,1),(274,1),(275,1),(353,1)}
       317:{1,5,6}:{(274,1),(276,1),(353,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(278,1),(300,1),(353,1)}
       319:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(350,1),(354,1),(356,1),(405,1)}
       320:{1,3,5,7}:{(277,1),(286,1),(302,1),(351,1),(356,1),(357,1),(372,1),(406,1)}
       321:{1,2,6,7}:{(278,1),(279,1),(287,1),(303,1),(409,1)}
       322:{1,2,3,6}:{(279,1),(280,1),(356,1),(358,1)}
       323:{1,2,4,7}:{(280,1),(304,1),(357,1),(358,1)}
       324:{1,3,5,7}:{(282,1),(283,1),(284,1),(288,1),(353,1),(359,1),(363,1)}
       325:{2,5,6}:{(283,1),(285,1),(359,1)}
       326:{2,4,6,7}:{(284,1),(285,1),(287,1),(305,1),(359,1),(361,1),(407,1)}
       327:{2,3,6}:{(285,1),(286,1),(356,1)}
       328:{2,3,4,7}:{(286,1),(307,1),(357,1),(362,1),(407,1)}
       329:{2,4,5,7}:{(288,1),(289,1),(290,1),(359,1),(363,1),(407,1)}
       330:{3,5,6}:{(289,1),(363,1),(364,1)}
       331:{3,6,7}:{(290,1),(363,1)}
       332:{3,6,7}:{(291,1),(292,1)}
       333:{2,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(365,1),(366,1),(420,1)}
       334:{1,3,5,6}:{(293,1),(295,1),(299,1),(366,1),(367,1)}
       335:{1,3,4,7}:{(294,1),(295,1),(300,1),(366,1),(368,1),(372,1)}
       336:{2,4,6}:{(295,1),(296,1),(367,1),(368,1),(369,1)}
       337:{2,3,5}:{(296,1),(302,1),(369,1),(370,1)}
       338:{2,4,6,7}:{(297,1),(298,1),(352,1),(365,1),(371,1),(409,1)}
       339:{1,4,5,7}:{(298,1),(299,1),(300,1),(353,1),(366,1),(371,1)}
       340:{1,2,4,7}:{(300,1),(301,1),(303,1),(305,1),(368,1),(372,1)}
       341:{1,3,6}:{(301,1),(302,1),(306,1),(369,1),(372,1)}
       342:{1,3,4}:{(302,1),(304,1),(307,1),(370,1)}
       343:{2,3,7}:{(305,1),(306,1),(372,1)}
       344:{3,4,5,7}:{(308,1),(310,1),(373,1),(374,1),(391,1)}
       345:{2,4,5,6}:{(308,1),(311,1),(374,1),(375,1),(389,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(332,1),(373,1)}
       347:{2,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(374,1),(377,1)}
       348:{1,3,5,6}:{(311,1),(313,1),(317,1),(375,1),(377,1),(378,1),(412,1)}
       349:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(335,1),(377,1),(379,1),(385,1),(393,1),(410,1),(417,1),(424,1),(425,1)}
       350:{2,4,6}:{(313,1),(314,1),(378,1),(380,1)}
       351:{2,3,5,7}:{(314,1),(320,1),(337,1),(380,1),(381,1),(395,1),(416,1)}
       352:{2,5,6,7}:{(315,1),(316,1),(338,1),(382,1)}
       353:{1,5,7}:{(316,1),(317,1),(318,1)}
       354:{1,2,5,6}:{(317,1),(319,1),(325,1),(378,1),(383,1),(384,1),(387,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(321,1),(326,1),(340,1),(379,1),(383,1),(385,1),(417,1)}
       356:{1,3,6}:{(319,1),(320,1),(327,1),(380,1)}
       357:{1,3,4,7}:{(320,1),(323,1),(328,1),(342,1),(381,1),(386,1),(417,1)}
       358:{1,2,4,6}:{(322,1),(323,1),(386,1),(387,1)}
       359:{2,5,7}:{(324,1),(325,1),(326,1)}
       360:{2,3,5,6}:{(325,1),(327,1),(330,1),(384,1),(388,1),(389,1),(390,1)}
       361:{2,3,6,7}:{(326,1),(327,1),(331,1),(343,1),(385,1),(388,1)}
       362:{2,3,4,6}:{(327,1),(328,1),(386,1),(389,1),(390,1)}
       363:{3,5,7}:{(329,1),(330,1),(331,1),(391,1)}
       364:{3,4,6}:{(330,1),(389,1),(391,1),(392,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(338,1),(393,1),(424,1)}
       366:{1,3,5,7}:{(333,1),(334,1),(335,1),(339,1),(393,1),(394,1)}
       367:{2,5,6}:{(334,1),(336,1),(394,1)}
       368:{2,4,7}:{(335,1),(336,1),(394,1),(395,1)}
       369:{2,3,6}:{(336,1),(337,1),(341,1),(395,1)}
       370:{2,3,4}:{(337,1),(342,1)}
       371:{1,4,6,7}:{(338,1),(339,1),(382,1),(393,1)}
       372:{1,3,7}:{(340,1),(341,1),(343,1),(395,1)}
       373:{3,4,6,7}:{(344,1),(346,1),(396,1)}
       374:{2,4,5,7}:{(344,1),(345,1),(347,1),(396,1),(397,1),(407,1)}
       375:{1,4,5,6}:{(345,1),(348,1),(397,1),(398,1),(405,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(352,1),(365,1),(396,1),(399,1)}
       377:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(397,1),(400,1),(420,1)}
       378:{2,5,6}:{(348,1),(350,1),(400,1)}
       379:{2,4,6,7}:{(349,1),(350,1),(368,1),(400,1),(402,1),(409,1),(422,1)}
       380:{2,3,6}:{(350,1),(351,1),(356,1)}
       381:{2,3,4,7}:{(351,1),(357,1),(370,1),(403,1),(422,1)}
       382:{1,5,6,7}:{(352,1),(353,1),(371,1)}
       383:{1,2,5,7}:{(353,1),(354,1),(355,1),(359,1),(400,1),(404,1)}
       384:{1,3,5,6}:{(354,1),(356,1),(360,1),(401,1),(404,1),(405,1),(406,1)}
       385:{1,3,6,7}:{(355,1),(356,1),(361,1),(372,1),(402,1),(404,1)}
       386:{1,3,4,6}:{(356,1),(357,1),(358,1),(362,1),(403,1),(405,1),(406,1)}
       387:{1,2,5}:{(358,1),(406,1)}
       388:{2,3,5,7}:{(359,1),(360,1),(361,1),(363,1),(404,1),(407,1)}
       389:{2,4,6}:{(360,1),(364,1),(405,1),(407,1),(408,1)}
       390:{2,3,5}:{(362,1),(406,1),(408,1)}
       391:{3,4,7}:{(363,1),(364,1),(407,1)}
       392:{3,4,5}:{(364,1),(408,1)}
       393:{1,3,6,7}:{(365,1),(366,1),(371,1),(409,1)}
       394:{2,5,7}:{(366,1),(367,1),(368,1),(409,1)}
       395:{2,3,7}:{(368,1),(369,1),(372,1)}
       396:{2,4,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       397:{1,4,5,7}:{(374,1),(375,1),(377,1),(410,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(375,1),(378,1),(411,1),(412,1),(415,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(382,1),(393,1),(410,1),(413,1),(424,1)}
       400:{2,5,7}:{(377,1),(378,1),(379,1)}
       401:{2,3,5,6}:{(378,1),(380,1),(384,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(379,1),(380,1),(385,1),(395,1),(414,1),(424,1)}
       403:{2,3,4,6}:{(380,1),(381,1),(386,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(383,1),(384,1),(385,1),(388,1),(414,1),(417,1)}
       405:{1,4,6}:{(384,1),(389,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(386,1),(387,1),(390,1),(416,1),(418,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1)}
       408:{2,4,5}:{(389,1),(390,1),(392,1),(418,1)}
       409:{2,6,7}:{(393,1),(394,1)}
       410:{1,4,6,7}:{(396,1),(397,1),(399,1),(419,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(400,1),(419,1),(420,1),(422,1)}
       412:{3,5,6}:{(398,1),(420,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(409,1),(419,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(420,1),(422,1)}
       415:{2,4,6}:{(401,1),(405,1),(421,1),(422,1),(423,1)}
       416:{2,3,5}:{(403,1),(406,1),(423,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(422,1)}
       418:{1,4,5}:{(405,1),(406,1),(408,1),(423,1)}
       419:{2,4,6,7}:{(410,1),(411,1),(413,1),(424,1)}
       420:{3,5,7}:{(411,1),(412,1),(424,1),(425,1)}
       421:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       422:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2390 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(37,1),(42,1),(43,1),(105,1),(109,1),(189,1),(203,1),(285,1),(290,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(61,1),(154,1),(322,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(67,1),(150,1),(237,1),(318,1)}
         3:{1,2,4,5}:{(1,1),(9,1),(35,1),(290,1),(355,1)}
         4:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(42,1),(189,1),(194,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(99,1),(352,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(42,1),(107,1),(199,1),(203,1),(280,1),(414,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(34,1),(51,1),(104,1),(217,1),(218,1),(302,1)}
         8:{1,2,4,5,6}:{(3,1),(18,1),(19,1),(22,1),(29,1),(58,1),(61,1),(84,1),(135,1),(141,1),(148,1),(149,1),(243,1),(262,1),(313,1),(322,1)}
         9:{1,3,5}:{(3,1),(4,1),(20,1)}
        10:{1,2,4,5,7}:{(3,1),(5,1),(21,1),(22,1),(26,1),(64,1),(78,1)}
        11:{2,3,4,6}:{(4,1),(20,1),(23,1),(24,1),(61,1),(72,1),(163,1),(167,1),(223,1),(227,1)}
        12:{1,3,4,7}:{(4,1),(5,1),(21,1),(24,1),(237,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(22,1),(25,1),(26,1),(143,1),(249,1),(391,1),(392,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(61,1),(84,1),(148,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(62,1),(85,1),(144,1),(258,1),(259,1),(334,1)}
        16:{1,3,4,5,6}:{(32,1),(33,1),(34,1),(93,1),(104,1),(274,1),(275,1),(347,1)}
        17:{1,3,4,5}:{(9,1),(34,1),(35,1),(355,1),(369,1),(402,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(34,1),(37,1),(38,1),(42,1),(189,1),(302,1),(347,1)}
        19:{1,2,4,5,7}:{(8,1),(38,1),(39,1),(53,1),(95,1),(99,1),(125,1),(184,1),(190,1),(192,1),(193,1),(281,1),(298,1),(343,1),(352,1)}
        20:{2,3,5}:{(9,1),(11,1),(35,1),(40,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(42,1)}
        22:{1,2,4,6}:{(10,1),(42,1),(43,1),(103,1),(113,1)}
        23:{1,3,4,6}:{(11,1),(40,1),(44,1),(45,1),(98,1),(111,1),(189,1),(194,1)}
        24:{2,3,4,7}:{(11,1),(12,1),(41,1),(45,1),(99,1),(210,1),(267,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(42,1),(46,1),(47,1),(113,1),(280,1),(284,1),(352,1),(360,1),(363,1),(364,1)}
        26:{1,2,5,7}:{(13,1),(43,1),(47,1),(192,1),(290,1)}
        27:{2,3,4,5}:{(35,1),(48,1),(49,1),(180,1),(369,1)}
        28:{2,3,5,6}:{(14,1),(48,1),(51,1),(52,1),(302,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(98,1),(197,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(99,1),(125,1),(192,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(220,1),(221,1),(304,1)}
        32:{2,4,5,6}:{(16,1),(57,1),(58,1),(59,1),(61,1),(135,1),(148,1)}
        33:{1,3,4,5,7}:{(16,1),(59,1),(60,1),(62,1),(136,1),(144,1),(309,1),(310,1),(374,1)}
        34:{1,3,4,6}:{(17,1),(18,1),(61,1),(62,1),(322,1),(337,1),(377,1)}
        35:{2,4,5}:{(17,1),(20,1),(61,1),(63,1)}
        36:{1,3,4,5,7}:{(17,1),(21,1),(62,1),(64,1),(65,1),(78,1),(144,1),(162,1)}
        37:{2,3,5,6}:{(18,1),(20,1),(61,1),(66,1),(67,1),(72,1),(84,1),(135,1),(148,1),(163,1),(223,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(62,1),(67,1),(68,1),(237,1),(334,1),(374,1)}
        39:{1,2,4,6,7}:{(19,1),(22,1),(68,1),(69,1),(87,1),(138,1),(143,1),(153,1),(172,1),(232,1),(264,1),(315,1)}
        40:{1,3,5}:{(20,1),(23,1),(63,1),(70,1)}
        41:{2,3,5,7}:{(20,1),(21,1),(24,1),(64,1),(71,1),(72,1)}
        42:{1,3,6}:{(21,1),(22,1),(72,1)}
        43:{1,2,5,6}:{(22,1),(26,1),(73,1),(148,1),(391,1)}
        44:{1,2,4,6}:{(23,1),(70,1),(74,1),(75,1),(154,1),(156,1)}
        45:{1,3,4,7}:{(23,1),(24,1),(71,1),(75,1),(142,1),(237,1)}
        46:{2,3,4,6,7}:{(24,1),(25,1),(72,1),(76,1),(77,1),(143,1),(158,1),(248,1),(256,1),(260,1),(307,1),(311,1),(326,1),(329,1),(331,1),(333,1),(373,1)}
        47:{1,3,5,7}:{(25,1),(26,1),(73,1),(77,1),(78,1),(321,1),(384,1)}
        48:{2,3,4,6}:{(27,1),(28,1),(61,1),(79,1),(80,1),(223,1),(337,1)}
        49:{1,3,4,5}:{(27,1),(63,1),(79,1),(81,1),(145,1)}
        50:{2,3,4,5,7}:{(27,1),(64,1),(80,1),(82,1),(83,1),(162,1),(166,1),(228,1),(255,1),(373,1),(376,1),(393,1),(395,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(79,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(80,1),(85,1),(86,1),(334,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(142,1),(239,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(144,1),(176,1)}
        56:{2,3,4,5}:{(35,1),(90,1),(91,1),(121,1),(402,1)}
        57:{2,3,5,6}:{(32,1),(90,1),(93,1),(94,1),(347,1)}
        58:{1,4,5,6}:{(32,1),(93,1),(95,1),(98,1),(197,1)}
        59:{2,4,5,7}:{(32,1),(33,1),(94,1),(95,1),(96,1),(99,1),(184,1),(192,1)}
        60:{1,3,4,6,7}:{(33,1),(96,1),(97,1),(185,1),(277,1),(278,1),(349,1)}
        61:{2,4,6}:{(34,1),(35,1),(37,1),(98,1),(99,1)}
        62:{1,3,4,7}:{(34,1),(38,1),(99,1),(352,1),(366,1),(399,1)}
        63:{1,4,5}:{(35,1),(40,1),(98,1)}
        64:{2,4,5,7}:{(35,1),(36,1),(41,1),(99,1),(102,1),(103,1),(192,1)}
        65:{1,3,4,6}:{(36,1),(42,1),(103,1),(104,1),(113,1),(206,1)}
        66:{1,3,5,6}:{(37,1),(40,1),(98,1),(105,1),(106,1),(111,1),(189,1),(197,1)}
        67:{2,3,5,7}:{(37,1),(38,1),(99,1),(106,1),(107,1),(125,1),(184,1),(192,1),(210,1),(267,1)}
        68:{1,3,6,7}:{(38,1),(39,1),(42,1),(107,1),(304,1),(349,1)}
        69:{1,2,5,6,7}:{(39,1),(43,1),(108,1),(128,1),(187,1),(192,1),(219,1),(276,1),(281,1),(411,1)}
        70:{1,2,5}:{(40,1),(44,1)}
        71:{1,3,5,7}:{(40,1),(41,1),(45,1),(102,1),(110,1),(111,1)}
        72:{2,3,6}:{(41,1),(42,1),(103,1),(111,1)}
        73:{1,3,5,6}:{(42,1),(43,1),(47,1),(112,1),(113,1),(358,1),(363,1)}
        74:{1,2,3,6}:{(44,1),(109,1),(114,1),(189,1)}
        75:{1,2,4,7}:{(44,1),(45,1),(110,1),(114,1)}
        76:{1,3,4,6,7}:{(45,1),(46,1),(111,1),(115,1),(116,1),(191,1),(205,1),(280,1),(284,1),(292,1),(294,1),(352,1)}
        77:{2,3,5,7}:{(46,1),(47,1),(112,1),(116,1),(117,1),(192,1),(283,1),(300,1),(345,1),(354,1)}
        78:{1,4,5,7}:{(47,1),(113,1),(117,1),(352,1),(355,1)}
        79:{1,3,4,6}:{(48,1),(49,1),(51,1),(98,1),(118,1),(119,1),(189,1)}
        80:{2,3,4,7}:{(48,1),(52,1),(99,1),(119,1),(267,1),(366,1)}
        81:{2,4,5}:{(49,1),(118,1),(121,1)}
        82:{1,3,4,5,7}:{(49,1),(50,1),(102,1),(119,1),(122,1),(123,1),(195,1),(212,1),(296,1),(352,1),(355,1),(366,1),(369,1),(415,1),(417,1)}
        83:{2,3,4,6}:{(50,1),(103,1),(123,1),(124,1),(206,1),(272,1),(293,1),(346,1)}
        84:{2,5,6}:{(51,1),(118,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(119,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(304,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(192,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(193,1),(220,1),(306,1)}
        90:{2,3,4,6}:{(56,1),(57,1),(61,1),(130,1),(131,1),(163,1),(377,1)}
        91:{1,3,4,5}:{(56,1),(63,1),(130,1),(132,1),(145,1)}
        92:{2,3,4,5,7}:{(56,1),(64,1),(131,1),(133,1),(134,1),(162,1),(168,1),(226,1),(255,1),(333,1),(336,1),(419,1),(421,1)}
        93:{1,3,5,6}:{(57,1),(58,1),(130,1),(135,1),(136,1)}
        94:{2,3,5,7}:{(57,1),(59,1),(131,1),(136,1),(137,1),(374,1)}
        95:{1,4,5,7}:{(58,1),(59,1),(136,1),(138,1),(142,1),(239,1)}
        96:{2,4,6,7}:{(59,1),(60,1),(137,1),(138,1),(139,1),(232,1)}
        97:{1,3,5,6,7}:{(60,1),(139,1),(140,1),(144,1),(236,1)}
        98:{1,4,6}:{(61,1),(63,1),(66,1),(142,1)}
        99:{2,4,7}:{(61,1),(62,1),(67,1),(142,1)}
       100:{1,3,4,6,7}:{(62,1),(65,1),(68,1),(143,1),(144,1),(153,1),(248,1)}
       101:{1,2,4,5}:{(63,1),(70,1),(81,1),(132,1),(141,1),(145,1),(154,1)}
       102:{1,4,5,7}:{(63,1),(64,1),(71,1),(142,1),(147,1),(239,1)}
       103:{2,4,6}:{(64,1),(65,1),(72,1),(147,1),(148,1)}
       104:{1,3,5,6}:{(65,1),(144,1),(148,1),(149,1),(245,1)}
       105:{1,2,5,6}:{(66,1),(70,1),(84,1),(135,1),(141,1),(150,1),(156,1)}
       106:{1,3,5,7}:{(66,1),(67,1),(142,1),(150,1),(151,1),(237,1),(239,1)}
       107:{2,3,6,7}:{(67,1),(68,1),(72,1),(143,1),(151,1),(172,1),(232,1)}
       108:{1,3,5,6,7}:{(68,1),(69,1),(73,1),(144,1),(152,1),(153,1),(318,1),(384,1),(388,1)}
       109:{1,2,3,5}:{(70,1),(74,1),(145,1),(154,1)}
       110:{1,2,5,7}:{(70,1),(71,1),(75,1),(156,1)}
       111:{1,3,6}:{(71,1),(72,1),(147,1),(156,1)}
       112:{2,3,5,6}:{(72,1),(73,1),(77,1),(148,1),(157,1),(158,1),(245,1),(324,1),(329,1)}
       113:{1,4,6}:{(73,1),(78,1),(158,1)}
       114:{1,2,3,7}:{(74,1),(75,1),(237,1)}
       115:{1,2,4,6,7}:{(75,1),(76,1),(156,1),(159,1),(160,1),(249,1),(251,1),(253,1),(326,1)}
       116:{1,3,5,7}:{(76,1),(77,1),(157,1),(160,1),(161,1),(239,1),(321,1)}
       117:{2,4,5,7}:{(77,1),(78,1),(158,1),(161,1),(162,1),(333,1),(336,1),(373,1),(376,1)}
       118:{2,4,6}:{(79,1),(81,1),(84,1),(163,1),(164,1)}
       119:{1,3,4,7}:{(79,1),(80,1),(85,1),(142,1),(164,1),(237,1)}
       120:{2,3,4,6,7}:{(80,1),(83,1),(86,1),(143,1),(165,1),(166,1),(174,1),(248,1),(307,1),(326,1),(340,1),(373,1),(393,1)}
       121:{2,3,5}:{(81,1),(145,1),(163,1),(167,1)}
       122:{2,4,5,7}:{(81,1),(82,1),(164,1),(168,1),(169,1),(257,1),(333,1),(336,1),(431,1),(432,1)}
       123:{1,3,4,6}:{(82,1),(83,1),(147,1),(169,1),(170,1),(242,1),(322,1),(330,1),(337,1)}
       124:{2,3,5,6}:{(83,1),(148,1),(166,1),(170,1),(171,1),(245,1),(324,1)}
       125:{2,5,7}:{(84,1),(85,1),(164,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(166,1),(173,1),(174,1),(176,1),(266,1),(340,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(239,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(240,1),(264,1),(266,1)}
       130:{1,3,4,6}:{(90,1),(91,1),(93,1),(98,1),(177,1),(178,1),(189,1)}
       131:{2,3,4,7}:{(90,1),(94,1),(99,1),(178,1),(210,1),(399,1)}
       132:{2,4,5}:{(91,1),(177,1),(180,1)}
       133:{1,3,4,5,7}:{(91,1),(92,1),(102,1),(178,1),(181,1),(182,1),(195,1),(269,1),(296,1),(352,1),(355,1),(399,1),(402,1),(434,1),(436,1)}
       134:{2,3,4,6}:{(92,1),(103,1),(182,1),(183,1),(206,1),(215,1),(293,1),(301,1)}
       135:{2,5,6}:{(93,1),(177,1),(184,1)}
       136:{1,3,5,7}:{(93,1),(94,1),(95,1),(178,1),(184,1),(185,1)}
       137:{2,3,6,7}:{(94,1),(96,1),(185,1),(349,1)}
       138:{1,4,6,7}:{(95,1),(96,1),(185,1),(187,1)}
       139:{2,5,6,7}:{(96,1),(97,1),(187,1),(192,1)}
       140:{1,4,5,6,7}:{(97,1),(188,1),(193,1),(277,1),(351,1)}
       141:{1,2,4,6}:{(98,1),(101,1),(105,1),(118,1),(177,1),(189,1),(190,1)}
       142:{1,4,7}:{(98,1),(99,1),(106,1)}
       143:{2,4,6,7}:{(99,1),(100,1),(103,1),(107,1),(191,1),(192,1)}
       144:{1,3,5,7}:{(100,1),(104,1),(192,1),(193,1),(283,1)}
       145:{1,3,5}:{(101,1),(121,1),(180,1),(189,1),(194,1)}
       146:{1,2,4,5,7}:{(101,1),(102,1),(110,1),(122,1),(181,1),(190,1),(195,1),(196,1),(202,1),(281,1),(290,1),(296,1),(352,1),(355,1),(365,1),(438,1),(439,1)}
       147:{1,4,6}:{(102,1),(103,1),(111,1),(197,1)}
       148:{2,5,6}:{(103,1),(104,1),(192,1),(197,1)}
       149:{1,4,5,6}:{(104,1),(113,1),(193,1),(198,1),(358,1)}
       150:{1,2,5,7}:{(105,1),(106,1),(125,1),(184,1),(190,1),(199,1)}
       151:{1,3,6,7}:{(106,1),(107,1),(111,1),(191,1),(199,1)}
       152:{2,3,5,6,7}:{(107,1),(108,1),(112,1),(192,1),(200,1),(201,1),(219,1),(276,1),(283,1),(297,1),(304,1),(342,1),(349,1),(354,1),(359,1)}
       153:{1,4,6,7}:{(108,1),(113,1),(193,1),(201,1),(352,1)}
       154:{1,2,4}:{(109,1),(194,1)}
       155:{1,2,3,5,7}:{(109,1),(110,1),(114,1),(195,1),(202,1),(203,1),(290,1),(365,1),(414,1),(441,1)}
       156:{1,2,6}:{(110,1),(111,1)}
       157:{1,3,5,6}:{(111,1),(112,1),(116,1),(197,1),(204,1),(205,1),(292,1)}
       158:{2,4,6}:{(112,1),(113,1),(117,1),(205,1),(206,1)}
       159:{1,2,3,6,7}:{(114,1),(115,1),(203,1),(207,1),(280,1),(292,1),(359,1),(411,1)}
       160:{1,2,5,7}:{(115,1),(116,1),(204,1),(290,1),(354,1)}
       161:{1,4,5,7}:{(116,1),(117,1),(205,1),(352,1),(355,1)}
       162:{3,4,5,7}:{(117,1),(206,1),(283,1),(366,1),(369,1),(399,1),(402,1)}
       163:{2,3,6}:{(118,1),(121,1),(189,1),(210,1)}
       164:{2,4,7}:{(118,1),(119,1),(125,1),(210,1)}
       165:{1,3,4,6,7}:{(119,1),(120,1),(123,1),(126,1),(191,1),(211,1),(212,1),(220,1),(280,1),(304,1),(352,1),(360,1),(366,1),(372,1),(415,1)}
       166:{2,3,5,7}:{(120,1),(124,1),(192,1),(212,1),(213,1),(283,1),(354,1)}
       167:{2,3,4}:{(121,1),(194,1)}
       168:{2,3,5,7}:{(121,1),(122,1),(195,1),(210,1),(214,1),(215,1),(300,1),(442,1),(443,1)}
       169:{2,4,6}:{(122,1),(123,1),(215,1),(216,1)}
       170:{1,3,5,6}:{(123,1),(124,1),(197,1),(212,1),(216,1),(217,1),(302,1),(358,1)}
       171:{2,4,5,6}:{(124,1),(213,1),(217,1),(218,1),(346,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(212,1),(219,1),(220,1),(304,1),(306,1),(372,1)}
       174:{2,4,6,7}:{(127,1),(213,1),(220,1),(221,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(220,1),(222,1),(282,1)}
       176:{3,5,6,7}:{(129,1),(221,1),(283,1),(304,1)}
       177:{2,4,6}:{(130,1),(132,1),(135,1),(223,1),(224,1)}
       178:{1,3,4,7}:{(130,1),(131,1),(136,1),(142,1),(224,1),(237,1)}
       179:{2,3,4,6,7}:{(131,1),(134,1),(137,1),(143,1),(225,1),(226,1),(234,1),(248,1),(256,1),(326,1),(333,1),(380,1),(419,1)}
       180:{2,3,5}:{(132,1),(145,1),(223,1),(227,1)}
       181:{2,4,5,7}:{(132,1),(133,1),(224,1),(228,1),(229,1),(308,1),(373,1),(376,1),(444,1),(445,1)}
       182:{1,3,4,6}:{(133,1),(134,1),(147,1),(229,1),(230,1),(242,1),(322,1),(330,1),(377,1)}
       183:{2,3,5,6}:{(134,1),(148,1),(226,1),(230,1),(231,1),(245,1),(324,1)}
       184:{2,5,7}:{(135,1),(136,1),(224,1),(232,1)}
       185:{1,3,6,7}:{(136,1),(137,1),(138,1),(232,1)}
       186:{2,3,5,6,7}:{(137,1),(139,1),(226,1),(233,1),(234,1),(236,1),(317,1),(380,1)}
       187:{1,5,6,7}:{(138,1),(139,1),(239,1)}
       188:{2,4,5,6,7}:{(139,1),(140,1),(234,1),(235,1),(236,1),(240,1),(315,1),(317,1)}
       189:{1,3,6}:{(141,1),(145,1),(163,1),(223,1),(237,1)}
       190:{1,2,4,7}:{(141,1),(142,1),(150,1),(164,1),(224,1),(237,1)}
       191:{1,4,6,7}:{(142,1),(143,1),(147,1),(151,1),(239,1)}
       192:{2,5,7}:{(143,1),(144,1),(148,1),(239,1)}
       193:{1,4,5,7}:{(144,1),(149,1),(153,1),(240,1),(384,1)}
       194:{1,3,4}:{(145,1),(154,1),(167,1),(227,1)}
       195:{1,3,5,7}:{(145,1),(146,1),(168,1),(228,1),(237,1),(241,1),(242,1),(321,1),(447,1),(448,1)}
       196:{1,2,4,6}:{(146,1),(147,1),(156,1),(169,1),(229,1),(242,1),(243,1),(322,1),(330,1),(391,1)}
       197:{1,5,6}:{(147,1),(148,1),(239,1)}
       198:{2,4,5,6}:{(148,1),(149,1),(158,1),(240,1),(244,1),(245,1),(324,1)}
       199:{1,2,6,7}:{(150,1),(151,1),(156,1),(172,1),(232,1)}
       200:{1,3,5,6,7}:{(151,1),(152,1),(157,1),(239,1),(246,1),(247,1),(318,1),(320,1),(325,1)}
       201:{2,4,6,7}:{(152,1),(153,1),(158,1),(240,1),(247,1),(248,1),(333,1),(373,1)}
       202:{1,2,4,7}:{(154,1),(155,1),(241,1),(249,1),(449,1)}
       203:{1,2,3,6}:{(155,1),(156,1),(242,1),(249,1),(391,1)}
       204:{1,2,5,6}:{(156,1),(157,1),(160,1),(251,1),(324,1)}
       205:{1,4,6}:{(157,1),(158,1),(161,1)}
       206:{3,4,6}:{(158,1),(162,1),(245,1)}
       207:{1,2,3,5,7}:{(159,1),(160,1),(250,1),(253,1),(254,1),(318,1),(383,1),(426,1),(447,1)}
       208:{1,2,4,5,7}:{(160,1),(161,1),(251,1),(253,1),(254,1),(255,1),(327,1)}
       209:{1,3,4,5,7}:{(161,1),(162,1),(252,1),(254,1),(255,1),(320,1),(382,1),(385,1)}
       210:{2,3,7}:{(163,1),(164,1),(237,1)}
       211:{2,4,6,7}:{(164,1),(165,1),(169,1),(172,1),(256,1),(257,1),(333,1),(398,1),(431,1)}
       212:{1,3,5,7}:{(165,1),(166,1),(170,1),(239,1),(257,1),(258,1),(334,1),(384,1)}
       213:{2,4,5,7}:{(166,1),(171,1),(174,1),(258,1),(259,1),(373,1)}
       214:{2,3,4,7}:{(167,1),(168,1),(241,1),(260,1),(333,1),(450,1)}
       215:{2,3,6}:{(168,1),(169,1),(242,1)}
       216:{2,5,6}:{(169,1),(170,1),(257,1)}
       217:{1,4,5,6}:{(170,1),(171,1),(258,1),(262,1),(322,1)}
       218:{3,4,5,6}:{(171,1),(245,1),(259,1),(377,1)}
       219:{2,5,6,7}:{(172,1),(173,1),(257,1),(264,1),(398,1)}
       220:{1,4,6,7}:{(173,1),(174,1),(258,1),(264,1)}
       221:{3,4,6,7}:{(174,1),(176,1),(259,1)}
       222:{1,3,5,6,7}:{(175,1),(176,1),(265,1),(266,1),(320,1)}
       223:{2,3,6}:{(177,1),(180,1),(189,1),(267,1)}
       224:{2,4,7}:{(177,1),(178,1),(184,1),(267,1)}
       225:{1,3,4,6,7}:{(178,1),(179,1),(182,1),(185,1),(191,1),(268,1),(269,1),(277,1),(280,1),(349,1),(352,1),(360,1),(399,1),(405,1),(434,1)}
       226:{2,3,5,7}:{(179,1),(183,1),(192,1),(269,1),(270,1),(283,1),(354,1)}
       227:{2,3,4}:{(180,1),(194,1)}
       228:{2,3,5,7}:{(180,1),(181,1),(195,1),(267,1),(271,1),(272,1),(345,1),(451,1),(452,1)}
       229:{2,4,6}:{(181,1),(182,1),(272,1),(273,1)}
       230:{1,3,5,6}:{(182,1),(183,1),(197,1),(269,1),(273,1),(274,1),(347,1),(358,1)}
       231:{2,4,5,6}:{(183,1),(270,1),(274,1),(275,1),(301,1)}
       232:{2,6,7}:{(184,1),(185,1)}
       233:{1,3,5,6,7}:{(185,1),(186,1),(187,1),(269,1),(276,1),(277,1),(349,1),(351,1),(405,1)}
       234:{2,4,6,7}:{(186,1),(270,1),(277,1),(278,1)}
       235:{1,4,5,6,7}:{(187,1),(188,1),(277,1),(279,1),(282,1)}
       236:{3,5,6,7}:{(188,1),(278,1),(283,1),(349,1)}
       237:{1,3,7}:{(189,1),(190,1),(210,1),(267,1)}
       238:{1,2,4,6,7}:{(190,1),(191,1),(196,1),(199,1),(211,1),(268,1),(280,1),(281,1),(352,1),(360,1),(411,1),(438,1)}
       239:{1,5,7}:{(191,1),(192,1),(197,1)}
       240:{2,4,5,7}:{(192,1),(193,1),(198,1),(201,1),(282,1),(283,1),(354,1)}
       241:{1,3,4,7}:{(194,1),(195,1),(202,1),(214,1),(271,1),(284,1),(352,1),(453,1)}
       242:{1,3,6}:{(195,1),(196,1),(215,1),(272,1)}
       243:{1,2,5,6}:{(196,1),(197,1),(216,1),(273,1),(281,1),(285,1),(290,1),(358,1)}
       244:{1,4,5,6}:{(197,1),(198,1),(205,1),(282,1),(287,1)}
       245:{3,5,6}:{(198,1),(206,1),(283,1)}
       246:{1,2,5,6,7}:{(199,1),(200,1),(204,1),(219,1),(276,1),(281,1),(288,1),(306,1),(351,1),(354,1)}
       247:{1,4,6,7}:{(200,1),(201,1),(205,1),(282,1),(352,1)}
       248:{3,4,6,7}:{(201,1),(206,1),(283,1),(304,1),(349,1),(366,1),(399,1)}
       249:{1,2,4,6}:{(202,1),(203,1),(284,1),(290,1)}
       250:{1,2,3,5,6}:{(203,1),(204,1),(207,1),(285,1),(290,1),(291,1),(292,1),(357,1),(361,1),(410,1),(440,1),(441,1)}
       251:{1,2,4,6}:{(204,1),(205,1),(208,1),(292,1),(293,1)}
       252:{1,3,4,6}:{(205,1),(206,1),(209,1),(287,1),(292,1),(293,1)}
       253:{1,2,4,7}:{(207,1),(291,1),(294,1),(352,1),(406,1)}
       254:{1,3,5,7}:{(208,1),(292,1),(294,1),(295,1),(361,1)}
       255:{2,4,5,7}:{(209,1),(293,1),(295,1),(296,1),(354,1),(406,1),(408,1)}
       256:{2,3,6,7}:{(210,1),(211,1),(215,1),(280,1),(297,1),(304,1),(442,1)}
       257:{2,5,7}:{(211,1),(212,1),(216,1)}
       258:{1,4,5,7}:{(212,1),(213,1),(217,1),(220,1),(298,1),(352,1)}
       259:{3,4,5,7}:{(213,1),(218,1),(221,1),(283,1),(399,1)}
       260:{2,3,4,6}:{(214,1),(215,1),(284,1),(300,1),(301,1)}
       261:{2,3,5,6}:{(215,1),(216,1),(285,1),(297,1),(300,1),(301,1),(302,1)}
       262:{2,4,5,6}:{(216,1),(217,1),(298,1),(301,1),(302,1)}
       263:{1,3,4,5,6}:{(217,1),(218,1),(287,1),(299,1),(302,1),(303,1),(356,1),(371,1)}
       264:{2,4,6,7}:{(219,1),(220,1),(298,1),(304,1)}
       265:{1,3,4,6,7}:{(220,1),(221,1),(222,1),(299,1),(304,1),(305,1),(372,1)}
       266:{2,5,6,7}:{(222,1),(305,1),(306,1),(354,1)}
       267:{2,3,7}:{(223,1),(224,1),(237,1)}
       268:{2,4,6,7}:{(224,1),(225,1),(229,1),(232,1),(307,1),(308,1),(373,1),(424,1),(444,1)}
       269:{1,3,5,7}:{(225,1),(226,1),(230,1),(239,1),(308,1),(309,1),(374,1),(384,1)}
       270:{2,4,5,7}:{(226,1),(231,1),(234,1),(309,1),(310,1),(333,1)}
       271:{2,3,4,7}:{(227,1),(228,1),(241,1),(311,1),(373,1),(454,1)}
       272:{2,3,6}:{(228,1),(229,1),(242,1)}
       273:{2,5,6}:{(229,1),(230,1),(308,1)}
       274:{1,4,5,6}:{(230,1),(231,1),(309,1),(313,1),(322,1)}
       275:{3,4,5,6}:{(231,1),(245,1),(310,1),(337,1)}
       276:{2,5,6,7}:{(232,1),(233,1),(308,1),(315,1),(424,1)}
       277:{1,4,6,7}:{(233,1),(234,1),(309,1),(315,1)}
       278:{3,4,6,7}:{(234,1),(236,1),(310,1)}
       279:{1,3,5,6,7}:{(235,1),(236,1),(316,1),(317,1),(320,1)}
       280:{1,3,6,7}:{(237,1),(238,1),(242,1),(256,1),(307,1),(318,1),(447,1)}
       281:{1,2,5,7}:{(238,1),(239,1),(243,1),(257,1),(308,1),(318,1),(384,1)}
       282:{1,4,5,7}:{(239,1),(240,1),(244,1),(247,1),(320,1)}
       283:{3,5,7}:{(240,1),(245,1),(248,1)}
       284:{1,3,4,6}:{(241,1),(242,1),(249,1),(260,1),(311,1),(321,1),(322,1)}
       285:{1,3,5,6}:{(242,1),(243,1),(261,1),(312,1),(318,1),(321,1),(322,1)}
       286:{1,2,4,5,6}:{(243,1),(244,1),(251,1),(262,1),(313,1),(319,1),(322,1),(323,1),(324,1),(327,1),(339,1),(379,1),(386,1),(397,1),(423,1),(428,1)}
       287:{1,3,5,6}:{(244,1),(245,1),(252,1),(320,1),(324,1)}
       288:{1,2,4,6,7}:{(246,1),(247,1),(251,1),(264,1),(315,1),(319,1),(325,1),(326,1),(341,1),(381,1),(398,1),(424,1)}
       289:{1,3,4,6,7}:{(247,1),(248,1),(252,1),(320,1),(325,1),(326,1),(382,1)}
       290:{1,2,5}:{(249,1),(321,1)}
       291:{1,2,4,6}:{(250,1),(253,1),(322,1),(327,1),(328,1),(386,1),(449,1)}
       292:{1,3,6}:{(251,1),(254,1),(329,1)}
       293:{2,4,6}:{(252,1),(255,1),(324,1),(329,1),(330,1)}
       294:{1,3,4,7}:{(253,1),(254,1),(328,1),(331,1),(447,1)}
       295:{2,3,5,7}:{(254,1),(255,1),(329,1),(331,1),(332,1),(389,1)}
       296:{1,4,5,7}:{(255,1),(330,1),(332,1),(384,1),(425,1),(427,1)}
       297:{2,3,5,7}:{(256,1),(257,1),(261,1),(318,1),(333,1),(334,1)}
       298:{2,4,5,7}:{(257,1),(258,1),(262,1),(264,1),(333,1),(334,1)}
       299:{1,3,4,5,7}:{(258,1),(259,1),(263,1),(265,1),(320,1),(334,1),(335,1),(382,1),(394,1)}
       300:{2,3,5}:{(260,1),(321,1),(336,1)}
       301:{2,4,6}:{(261,1),(322,1),(333,1),(336,1),(337,1)}
       302:{3,5,6}:{(262,1),(334,1),(337,1)}
       303:{2,4,5,6}:{(263,1),(324,1),(335,1),(338,1),(339,1),(386,1),(397,1)}
       304:{3,6,7}:{(264,1),(334,1)}
       305:{2,4,6,7}:{(265,1),(266,1),(335,1),(340,1),(341,1),(398,1)}
       306:{1,5,6,7}:{(266,1),(341,1),(384,1)}
       307:{2,3,6,7}:{(267,1),(268,1),(272,1),(280,1),(342,1),(349,1),(451,1)}
       308:{2,5,7}:{(268,1),(269,1),(273,1)}
       309:{1,4,5,7}:{(269,1),(270,1),(274,1),(277,1),(343,1),(352,1)}
       310:{3,4,5,7}:{(270,1),(275,1),(278,1),(283,1),(366,1)}
       311:{2,3,4,6}:{(271,1),(272,1),(284,1),(345,1),(346,1)}
       312:{2,3,5,6}:{(272,1),(273,1),(285,1),(342,1),(345,1),(346,1),(347,1)}
       313:{2,4,5,6}:{(273,1),(274,1),(343,1),(346,1),(347,1)}
       314:{1,3,4,5,6}:{(274,1),(275,1),(287,1),(344,1),(347,1),(348,1),(356,1),(404,1)}
       315:{2,4,6,7}:{(276,1),(277,1),(343,1),(349,1)}
       316:{1,3,4,6,7}:{(277,1),(278,1),(279,1),(344,1),(349,1),(350,1),(405,1)}
       317:{2,5,6,7}:{(279,1),(350,1),(351,1),(354,1)}
       318:{1,3,5,7}:{(280,1),(281,1),(285,1),(297,1),(342,1),(352,1)}
       319:{1,2,4,5,7}:{(281,1),(282,1),(286,1),(288,1),(298,1),(343,1),(352,1),(353,1),(354,1),(368,1),(401,1),(406,1),(416,1),(435,1),(438,1)}
       320:{1,3,5,7}:{(282,1),(283,1),(287,1),(289,1),(354,1)}
       321:{1,3,5}:{(284,1),(290,1),(300,1),(345,1),(355,1)}
       322:{1,4,6}:{(285,1),(301,1),(346,1),(352,1),(355,1)}
       323:{1,3,5,6}:{(286,1),(292,1),(302,1),(347,1),(353,1),(356,1),(357,1),(361,1),(440,1)}
       324:{2,5,6}:{(287,1),(293,1),(354,1),(358,1)}
       325:{1,3,6,7}:{(288,1),(292,1),(304,1),(349,1),(353,1),(359,1)}
       326:{2,4,6,7}:{(289,1),(293,1),(354,1),(359,1),(360,1),(406,1)}
       327:{1,2,4,5}:{(290,1),(291,1),(355,1),(361,1),(408,1)}
       328:{1,3,4,6}:{(291,1),(292,1),(294,1),(361,1),(362,1),(440,1),(453,1)}
       329:{2,3,6}:{(292,1),(293,1),(295,1),(363,1)}
       330:{1,4,6}:{(293,1),(296,1),(358,1),(363,1)}
       331:{2,3,4,7}:{(294,1),(295,1),(362,1),(364,1),(406,1),(442,1),(451,1)}
       332:{1,3,5,7}:{(295,1),(296,1),(363,1),(364,1),(365,1),(412,1)}
       333:{2,4,7}:{(297,1),(301,1),(352,1),(366,1)}
       334:{3,5,7}:{(298,1),(302,1),(304,1),(366,1)}
       335:{2,4,5,7}:{(299,1),(303,1),(305,1),(354,1),(367,1),(368,1),(406,1),(416,1)}
       336:{2,4,5}:{(300,1),(301,1),(355,1),(369,1)}
       337:{3,4,6}:{(301,1),(302,1),(366,1),(369,1)}
       338:{2,3,5,6}:{(302,1),(303,1),(367,1),(370,1),(371,1)}
       339:{1,4,5,6}:{(303,1),(358,1),(368,1),(371,1),(409,1)}
       340:{2,3,6,7}:{(304,1),(305,1),(367,1),(372,1)}
       341:{1,4,6,7}:{(305,1),(306,1),(368,1),(372,1)}
       342:{2,3,5,7}:{(307,1),(308,1),(312,1),(318,1),(373,1),(374,1)}
       343:{2,4,5,7}:{(308,1),(309,1),(313,1),(315,1),(373,1),(374,1)}
       344:{1,3,4,5,7}:{(309,1),(310,1),(314,1),(316,1),(320,1),(374,1),(375,1),(382,1),(420,1)}
       345:{2,3,5}:{(311,1),(321,1),(376,1)}
       346:{2,4,6}:{(312,1),(322,1),(373,1),(376,1),(377,1)}
       347:{3,5,6}:{(313,1),(374,1),(377,1)}
       348:{2,4,5,6}:{(314,1),(324,1),(375,1),(378,1),(379,1),(386,1),(423,1)}
       349:{3,6,7}:{(315,1),(374,1)}
       350:{2,4,6,7}:{(316,1),(317,1),(375,1),(380,1),(381,1),(424,1)}
       351:{1,5,6,7}:{(317,1),(381,1),(384,1)}
       352:{1,4,7}:{(318,1),(322,1),(333,1),(373,1)}
       353:{1,3,5,7}:{(319,1),(323,1),(325,1),(334,1),(374,1),(382,1),(383,1),(447,1)}
       354:{2,5,7}:{(320,1),(324,1),(326,1),(384,1)}
       355:{1,4,5}:{(321,1),(322,1),(336,1),(376,1)}
       356:{1,3,4,6}:{(322,1),(323,1),(337,1),(377,1),(382,1),(385,1),(386,1)}
       357:{2,3,5,6}:{(323,1),(324,1),(329,1),(383,1),(386,1),(387,1),(389,1),(397,1),(423,1),(433,1),(446,1)}
       358:{1,5,6}:{(324,1),(330,1),(384,1)}
       359:{2,3,6,7}:{(325,1),(326,1),(329,1),(383,1),(388,1),(398,1),(424,1)}
       360:{1,4,6,7}:{(326,1),(330,1),(384,1),(388,1),(425,1)}
       361:{1,3,5}:{(327,1),(328,1),(389,1)}
       362:{2,3,4,6}:{(328,1),(329,1),(331,1),(386,1),(389,1),(390,1),(433,1),(446,1),(450,1),(454,1)}
       363:{1,3,6}:{(329,1),(330,1),(332,1),(391,1)}
       364:{1,3,4,7}:{(331,1),(332,1),(390,1),(392,1),(425,1),(447,1)}
       365:{1,2,5,7}:{(332,1),(391,1),(392,1),(429,1)}
       366:{3,4,7}:{(333,1),(334,1),(337,1)}
       367:{2,3,5,7}:{(334,1),(335,1),(338,1),(340,1),(393,1),(394,1)}
       368:{1,4,5,7}:{(335,1),(339,1),(341,1),(384,1),(394,1),(425,1)}
       369:{3,4,5}:{(336,1),(337,1)}
       370:{2,3,4,6}:{(337,1),(338,1),(386,1),(393,1),(395,1),(396,1),(446,1)}
       371:{1,3,5,6}:{(338,1),(339,1),(394,1),(396,1),(397,1)}
       372:{1,3,6,7}:{(340,1),(341,1),(394,1),(398,1)}
       373:{2,4,7}:{(342,1),(346,1),(352,1),(399,1)}
       374:{3,5,7}:{(343,1),(347,1),(349,1),(399,1)}
       375:{2,4,5,7}:{(344,1),(348,1),(350,1),(354,1),(400,1),(401,1),(406,1),(435,1)}
       376:{2,4,5}:{(345,1),(346,1),(355,1),(402,1)}
       377:{3,4,6}:{(346,1),(347,1),(399,1),(402,1)}
       378:{2,3,5,6}:{(347,1),(348,1),(400,1),(403,1),(404,1)}
       379:{1,4,5,6}:{(348,1),(358,1),(401,1),(404,1),(409,1)}
       380:{2,3,6,7}:{(349,1),(350,1),(400,1),(405,1)}
       381:{1,4,6,7}:{(350,1),(351,1),(401,1),(405,1)}
       382:{1,3,4,7}:{(352,1),(353,1),(356,1),(366,1),(399,1),(406,1)}
       383:{2,3,5,7}:{(353,1),(354,1),(357,1),(359,1),(406,1),(407,1),(416,1),(435,1),(442,1),(451,1)}
       384:{1,5,7}:{(354,1),(358,1),(360,1)}
       385:{1,3,4,5}:{(355,1),(356,1),(361,1),(369,1),(402,1),(408,1)}
       386:{2,4,6}:{(356,1),(357,1),(406,1),(408,1),(409,1)}
       387:{1,3,5,6}:{(357,1),(358,1),(363,1),(407,1),(409,1),(410,1),(412,1),(440,1)}
       388:{1,3,6,7}:{(359,1),(360,1),(363,1),(407,1),(411,1)}
       389:{2,3,5}:{(361,1),(362,1),(408,1),(412,1)}
       390:{1,3,4,6}:{(362,1),(363,1),(364,1),(409,1),(412,1),(413,1),(440,1),(453,1)}
       391:{1,2,6}:{(363,1),(365,1)}
       392:{1,2,4,7}:{(364,1),(365,1),(413,1),(414,1)}
       393:{2,3,4,7}:{(366,1),(367,1),(370,1),(406,1),(415,1),(451,1)}
       394:{1,3,5,7}:{(367,1),(368,1),(371,1),(372,1),(415,1),(416,1)}
       395:{2,3,4,5}:{(369,1),(370,1),(408,1),(417,1),(452,1)}
       396:{1,3,4,6}:{(370,1),(371,1),(409,1),(415,1),(417,1),(418,1),(440,1)}
       397:{2,5,6}:{(371,1),(416,1),(418,1)}
       398:{2,6,7}:{(372,1),(416,1)}
       399:{3,4,7}:{(373,1),(374,1),(377,1)}
       400:{2,3,5,7}:{(374,1),(375,1),(378,1),(380,1),(419,1),(420,1)}
       401:{1,4,5,7}:{(375,1),(379,1),(381,1),(384,1),(420,1),(425,1)}
       402:{3,4,5}:{(376,1),(377,1)}
       403:{2,3,4,6}:{(377,1),(378,1),(386,1),(419,1),(421,1),(422,1),(433,1)}
       404:{1,3,5,6}:{(378,1),(379,1),(420,1),(422,1),(423,1)}
       405:{1,3,6,7}:{(380,1),(381,1),(420,1),(424,1)}
       406:{2,4,7}:{(382,1),(383,1),(386,1),(425,1)}
       407:{1,3,5,7}:{(383,1),(384,1),(387,1),(388,1),(425,1),(426,1),(447,1)}
       408:{2,4,5}:{(385,1),(386,1),(389,1),(427,1)}
       409:{1,4,6}:{(386,1),(387,1),(425,1),(427,1)}
       410:{1,2,5,6}:{(387,1),(391,1),(397,1),(423,1),(426,1),(428,1),(429,1)}
       411:{1,2,6,7}:{(388,1),(391,1),(398,1),(424,1),(426,1)}
       412:{1,3,5}:{(389,1),(390,1),(427,1),(429,1)}
       413:{1,2,4,6}:{(390,1),(391,1),(392,1),(429,1),(430,1),(449,1)}
       414:{1,2,3,7}:{(392,1),(430,1),(447,1)}
       415:{1,3,4,7}:{(393,1),(394,1),(396,1),(425,1),(431,1),(447,1)}
       416:{2,5,7}:{(394,1),(397,1),(398,1),(431,1)}
       417:{1,3,4,5}:{(395,1),(396,1),(427,1),(432,1),(448,1)}
       418:{2,4,6}:{(396,1),(397,1),(431,1),(432,1),(433,1)}
       419:{2,3,4,7}:{(399,1),(400,1),(403,1),(406,1),(434,1),(442,1)}
       420:{1,3,5,7}:{(400,1),(401,1),(404,1),(405,1),(434,1),(435,1)}
       421:{2,3,4,5}:{(402,1),(403,1),(408,1),(436,1),(443,1)}
       422:{1,3,4,6}:{(403,1),(404,1),(409,1),(434,1),(436,1),(437,1),(440,1)}
       423:{2,5,6}:{(404,1),(435,1),(437,1)}
       424:{2,6,7}:{(405,1),(435,1)}
       425:{1,4,7}:{(406,1),(407,1),(409,1)}
       426:{1,2,5,7}:{(407,1),(410,1),(411,1),(416,1),(435,1),(438,1)}
       427:{1,4,5}:{(408,1),(409,1),(412,1)}
       428:{1,2,4,6}:{(409,1),(410,1),(418,1),(437,1),(438,1),(439,1),(440,1)}
       429:{1,2,5}:{(412,1),(413,1)}
       430:{1,2,3,6}:{(413,1),(414,1),(440,1),(441,1)}
       431:{2,4,7}:{(415,1),(416,1),(418,1),(442,1)}
       432:{2,4,5}:{(417,1),(418,1),(443,1)}
       433:{2,3,6}:{(418,1),(440,1),(442,1),(443,1)}
       434:{1,3,4,7}:{(419,1),(420,1),(422,1),(425,1),(444,1),(447,1)}
       435:{2,5,7}:{(420,1),(423,1),(424,1),(444,1)}
       436:{1,3,4,5}:{(421,1),(422,1),(427,1),(445,1),(448,1)}
       437:{2,4,6}:{(422,1),(423,1),(444,1),(445,1),(446,1)}
       438:{1,2,4,7}:{(425,1),(426,1),(428,1),(431,1),(444,1),(447,1)}
       439:{1,2,4,5}:{(427,1),(428,1),(429,1),(432,1),(445,1),(448,1),(449,1)}
       440:{1,3,6}:{(428,1),(433,1),(446,1),(447,1),(448,1)}
       441:{1,2,3,5}:{(429,1),(430,1),(448,1),(449,1)}
       442:{2,3,7}:{(431,1),(433,1),(447,1)}
       443:{2,3,5}:{(432,1),(433,1),(448,1),(450,1)}
       444:{2,4,7}:{(434,1),(435,1),(437,1),(451,1)}
       445:{2,4,5}:{(436,1),(437,1),(452,1)}
       446:{2,3,6}:{(437,1),(440,1),(451,1),(452,1)}
       447:{1,3,7}:{(438,1),(440,1),(442,1),(451,1)}
       448:{1,3,5}:{(439,1),(440,1),(443,1),(452,1),(453,1)}
       449:{1,2,4}:{(441,1),(453,1)}
       450:{2,3,4}:{(443,1),(453,1)}
       451:{2,3,7}:{(444,1),(446,1),(447,1)}
       452:{2,3,5}:{(445,1),(446,1),(448,1),(454,1)}
       453:{1,3,4}:{(448,1),(449,1),(450,1),(454,1)}
       454:{2,3,4}:{(452,1),(453,1)}

2391 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2392 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(128,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(23,1),(144,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(32,1),(158,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(23,1),(39,1),(140,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(166,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(43,1),(70,1),(74,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(44,1),(46,1),(114,1),(140,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(33,1),(49,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(29,1),(32,1),(154,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(171,1)}
        11:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(29,1),(54,1),(92,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(35,1),(58,1),(131,1),(154,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(164,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(105,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(39,1),(41,1),(70,1),(107,1)}
        17:{1,3,4,6,7}:{(11,1),(23,1),(24,1),(109,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(147,1),(164,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(119,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(153,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(32,1),(54,1),(124,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(126,1)}
        24:{1,3,4,5,7}:{(17,1),(33,1),(34,1),(54,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(119,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(130,1),(153,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(138,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{1,2,3,5,6,7}:{(22,1),(39,1),(42,1),(64,1),(70,1),(73,1),(105,1),(107,1),(138,1),(143,1),(165,1),(174,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(43,1),(142,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1),(70,1)}
        34:{1,3,4,5,6}:{(24,1),(44,1),(71,1),(109,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(112,1),(138,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(121,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{1,2,4,6,7}:{(31,1),(32,1),(53,1),(56,1),(57,1),(81,1),(119,1),(126,1),(159,1),(172,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(89,1),(126,1)}
        45:{1,3,4,5,6,7}:{(34,1),(59,1),(90,1),(129,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(121,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(130,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(106,1),(136,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(138,1),(165,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{1,3,4,6,7}:{(42,1),(69,1),(73,1),(99,1),(109,1),(138,1)}
        57:{1,2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1),(106,1),(169,1),(174,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(142,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(108,1),(145,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(105,1),(112,1),(138,1),(148,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(112,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(144,1),(148,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(118,1),(162,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(118,1),(123,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(126,1),(153,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(119,1),(172,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(117,1),(121,1),(126,1),(153,1),(172,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(88,1),(92,1)}
        74:{1,2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(119,1),(126,1),(158,1),(171,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(159,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(161,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(121,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(132,1),(158,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(160,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(170,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(138,1),(142,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(145,1),(165,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(138,1),(142,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(104,1),(105,1),(174,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(104,1),(106,1),(107,1),(174,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(108,1)}
        91:{1,3,4,5,7}:{(73,1),(106,1),(109,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(107,1),(109,1),(138,1)}
        93:{1,2,4,5,6,7}:{(74,1),(75,1),(108,1),(110,1),(139,1),(145,1),(169,1),(174,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(111,1),(112,1),(138,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(112,1),(147,1)}
        96:{2,3,5}:{(77,1),(78,1),(112,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(115,1),(116,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(116,1),(150,1),(169,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(118,1),(119,1),(123,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(122,1),(155,1),(159,1)}
       104:{1,3,5,7}:{(86,1),(87,1),(88,1),(123,1),(124,1)}
       105:{1,2,5,6}:{(87,1),(89,1),(119,1),(124,1),(171,1)}
       106:{2,4,5,7}:{(88,1),(91,1),(123,1),(126,1)}
       107:{2,3,5,6}:{(88,1),(89,1),(92,1),(121,1),(124,1),(126,1),(153,1),(171,1)}
       108:{2,5,6,7}:{(89,1),(90,1),(122,1)}
       109:{1,3,4,6}:{(91,1),(92,1),(126,1)}
       110:{1,3,5,6,7}:{(92,1),(93,1),(127,1),(129,1),(155,1),(173,1)}
       111:{2,3,4,6}:{(94,1),(117,1),(130,1),(153,1),(161,1)}
       112:{1,3,5}:{(94,1),(95,1),(96,1),(130,1)}
       113:{1,2,4,5,6}:{(95,1),(97,1),(119,1),(132,1),(133,1),(158,1),(161,1),(171,1)}
       114:{2,3,4,5}:{(96,1),(131,1),(134,1)}
       115:{2,3,5,6}:{(96,1),(97,1),(121,1),(132,1),(134,1),(135,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(122,1),(135,1)}
       117:{2,3,4,7}:{(99,1),(111,1),(136,1),(170,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(112,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(105,1),(138,1),(142,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(106,1),(114,1),(137,1),(140,1),(151,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(108,1),(116,1),(141,1)}
       123:{1,4,5,7}:{(104,1),(106,1),(142,1)}
       124:{1,3,5,6}:{(104,1),(105,1),(107,1),(138,1),(142,1)}
       125:{1,2,5,6,7}:{(105,1),(108,1),(139,1),(143,1),(174,1)}
       126:{2,4,6}:{(106,1),(107,1),(109,1),(142,1)}
       127:{2,3,5,6,7}:{(107,1),(108,1),(110,1),(141,1),(143,1),(145,1),(165,1),(168,1),(174,1)}
       128:{1,3,4,5,6}:{(109,1),(144,1),(146,1),(166,1)}
       129:{1,3,4,6,7}:{(109,1),(110,1),(145,1),(146,1)}
       130:{2,3,5}:{(111,1),(112,1),(147,1)}
       131:{1,3,4,5}:{(112,1),(114,1),(147,1),(149,1)}
       132:{1,3,5,6}:{(112,1),(113,1),(115,1),(138,1),(148,1),(149,1),(150,1)}
       133:{1,2,4,5,7}:{(113,1),(116,1),(139,1),(150,1),(169,1),(170,1),(174,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(149,1),(151,1)}
       135:{2,3,5,7}:{(115,1),(116,1),(141,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(130,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(123,1),(131,1),(152,1),(154,1),(163,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(125,1),(133,1),(155,1),(159,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(126,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(135,1),(155,1)}
       142:{1,4,6}:{(123,1),(124,1),(126,1)}
       143:{1,3,5,6,7}:{(124,1),(125,1),(127,1),(155,1),(159,1),(173,1)}
       144:{2,4,5,6}:{(126,1),(128,1),(156,1),(158,1),(160,1),(171,1)}
       145:{2,4,6,7}:{(126,1),(127,1),(129,1),(159,1),(160,1)}
       146:{1,3,4,5,7}:{(128,1),(129,1),(160,1),(173,1)}
       147:{2,4,5}:{(130,1),(131,1),(161,1)}
       148:{2,3,5,6}:{(130,1),(132,1),(153,1),(161,1),(162,1),(171,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(161,1),(163,1)}
       150:{1,3,5,7}:{(132,1),(133,1),(135,1),(155,1),(162,1),(163,1)}
       151:{2,3,4,7}:{(134,1),(135,1),(163,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(147,1),(164,1),(170,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(142,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(150,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(144,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(145,1),(151,1),(167,1),(168,1)}
       158:{1,4,5,6}:{(142,1),(144,1),(166,1),(169,1)}
       159:{1,4,6,7}:{(142,1),(143,1),(145,1),(169,1)}
       160:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(169,1),(174,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,5,7}:{(148,1),(150,1),(165,1),(170,1),(174,1)}
       163:{1,3,4,7}:{(149,1),(150,1),(151,1),(170,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(162,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(158,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(159,1),(163,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(160,1),(173,1)}
       169:{1,4,5,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,4,7}:{(161,1),(162,1),(163,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(170,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(169,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2393 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2394 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(83,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(69,1),(92,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(25,1),(27,1),(55,1),(81,1)}
        4:{1,2,3,6}:{(1,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(29,1),(30,1),(53,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(19,1),(34,1),(39,1),(41,1),(67,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
        9:{1,2,3,6,7}:{(4,1),(15,1),(17,1),(64,1),(92,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(38,1)}
       11:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(45,1),(53,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(24,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(25,1),(27,1),(81,1),(96,1)}
       16:{1,2,5,6}:{(8,1),(24,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1),(27,1),(51,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(27,1),(28,1)}
       19:{1,3,4,5}:{(11,1),(28,1),(29,1)}
       20:{2,3,4,6,7}:{(12,1),(23,1),(30,1),(53,1),(56,1),(78,1)}
       21:{2,3,5,6}:{(12,1),(24,1),(30,1),(31,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(20,1),(32,1),(34,1),(39,1),(61,1),(64,1),(67,1),(90,1)}
       24:{1,3,5,6}:{(14,1),(16,1),(21,1),(33,1),(34,1),(35,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(37,1),(38,1),(63,1)}
       27:{1,2,4,7}:{(17,1),(18,1),(39,1)}
       28:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1),(40,1)}
       29:{2,3,4,5}:{(19,1),(40,1),(41,1)}
       30:{2,3,5,7}:{(20,1),(21,1),(34,1),(43,1)}
       31:{2,4,5,6}:{(21,1),(35,1),(43,1),(44,1)}
       32:{2,3,4,6,7}:{(22,1),(23,1),(45,1),(53,1),(72,1),(78,1)}
       33:{2,3,5,6}:{(22,1),(24,1),(45,1),(46,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(30,1),(45,1),(48,1)}
       35:{1,4,5,6}:{(24,1),(31,1),(46,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(76,1)}
       38:{1,3,5,6}:{(26,1),(28,1),(51,1),(52,1)}
       39:{1,3,4,7}:{(27,1),(28,1),(51,1),(53,1)}
       40:{2,3,4,6}:{(28,1),(29,1),(52,1),(53,1),(54,1)}
       41:{1,3,4,5}:{(29,1),(54,1),(55,1)}
       42:{2,3,5,6,7}:{(30,1),(47,1),(56,1),(78,1),(84,1),(94,1)}
       43:{2,4,5,7}:{(30,1),(31,1),(48,1),(56,1),(57,1)}
       44:{3,4,5,6}:{(31,1),(57,1)}
       45:{2,3,5,7}:{(32,1),(33,1),(34,1),(59,1)}
       46:{2,4,5,6}:{(33,1),(35,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(42,1),(58,1),(61,1),(64,1),(90,1),(97,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(43,1),(59,1),(61,1)}
       49:{1,3,4,5,6}:{(35,1),(38,1),(44,1),(60,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(61,1),(64,1),(88,1)}
       51:{1,3,5,7}:{(37,1),(38,1),(39,1),(64,1),(65,1)}
       52:{2,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(66,1)}
       53:{2,3,4,7}:{(39,1),(40,1),(65,1),(67,1)}
       54:{1,3,4,6}:{(40,1),(41,1),(66,1),(67,1),(68,1)}
       55:{1,2,4,5}:{(41,1),(68,1),(69,1)}
       56:{2,4,6,7}:{(42,1),(43,1),(61,1),(71,1)}
       57:{3,4,5,7}:{(43,1),(44,1),(71,1)}
       58:{2,3,5,6,7}:{(45,1),(47,1),(72,1),(78,1),(93,1),(94,1)}
       59:{2,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(73,1)}
       60:{3,4,5,6}:{(46,1),(73,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(56,1),(72,1)}
       62:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(57,1),(73,1),(75,1),(76,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(76,1),(77,1)}
       64:{1,3,6,7}:{(50,1),(51,1),(78,1)}
       65:{2,3,5,7}:{(51,1),(52,1),(53,1),(76,1),(78,1),(79,1)}
       66:{1,3,5,6}:{(52,1),(54,1),(77,1),(79,1),(80,1)}
       67:{1,3,4,7}:{(53,1),(54,1),(79,1),(81,1)}
       68:{1,2,4,6}:{(54,1),(55,1),(80,1),(81,1),(82,1)}
       69:{1,2,3,5}:{(55,1),(82,1),(83,1)}
       70:{2,4,5,6,7}:{(56,1),(74,1),(84,1),(94,1)}
       71:{3,4,6,7}:{(56,1),(57,1),(84,1)}
       72:{2,4,6,7}:{(58,1),(59,1),(61,1),(86,1)}
       73:{3,4,5,7}:{(59,1),(60,1),(86,1)}
       74:{1,4,5,6,7}:{(61,1),(70,1),(85,1),(87,1),(97,1)}
       75:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(71,1),(86,1),(87,1),(88,1)}
       76:{2,4,5,7}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
       79:{1,3,5,7}:{(65,1),(66,1),(67,1),(89,1),(90,1),(91,1)}
       80:{1,2,5,6}:{(66,1),(68,1),(91,1)}
       81:{1,2,4,7}:{(67,1),(68,1),(91,1),(92,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,3,4}:{(69,1)}
       84:{3,5,6,7}:{(70,1),(71,1)}
       85:{2,4,5,6,7}:{(72,1),(74,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(72,1),(73,1),(93,1)}
       87:{1,3,5,6,7}:{(74,1),(75,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(75,1),(76,1),(78,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(76,1),(77,1),(79,1),(95,1)}
       90:{1,3,6,7}:{(78,1),(79,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
       92:{1,2,3,7}:{(81,1),(82,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2395 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2396 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(59,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(59,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(59,1),(66,1),(89,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(45,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(75,1),(116,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(45,1),(118,1),(119,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(49,1),(51,1),(75,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(45,1),(78,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(59,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(88,1),(108,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(62,1),(110,1),(112,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(56,1),(59,1),(86,1),(89,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(65,1),(67,1),(88,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(40,1),(41,1),(115,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(41,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(42,1),(43,1),(48,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(43,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(41,1),(44,1),(45,1),(106,1),(118,1)}
        30:{1,2,4,7}:{(18,1),(42,1),(46,1),(47,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(43,1),(47,1),(48,1),(77,1),(100,1),(102,1)}
        32:{2,3,5}:{(19,1),(20,1),(48,1),(49,1)}
        33:{1,4,5}:{(20,1),(45,1),(49,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(40,1),(50,1),(51,1),(75,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(43,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(45,1),(52,1),(54,1),(106,1)}
        39:{1,3,5,6,7}:{(35,1),(55,1),(56,1),(86,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(34,1),(57,1),(58,1),(86,1),(107,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(29,1),(58,1),(59,1),(114,1),(121,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(60,1),(64,1)}
        43:{1,3,6}:{(27,1),(28,1),(36,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(58,1),(61,1),(62,1),(70,1),(96,1),(110,1)}
        45:{1,4,6}:{(29,1),(33,1),(59,1),(62,1)}
        46:{1,2,3,7}:{(30,1),(63,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(60,1),(63,1),(64,1),(92,1)}
        48:{1,3,5}:{(31,1),(32,1),(64,1),(65,1)}
        49:{2,4,5}:{(32,1),(33,1),(62,1),(65,1),(66,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(57,1),(67,1),(88,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(56,1),(59,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(62,1),(68,1),(69,1),(70,1),(96,1)}
        55:{2,5,6,7}:{(39,1),(51,1),(71,1),(72,1)}
        56:{1,4,6,7}:{(39,1),(52,1),(72,1),(115,1)}
        57:{1,3,6,7}:{(40,1),(43,1),(50,1),(73,1),(74,1)}
        58:{2,3,5,7}:{(40,1),(41,1),(44,1),(51,1),(74,1),(75,1),(83,1),(105,1),(116,1)}
        59:{1,4,7}:{(41,1),(45,1),(75,1)}
        60:{1,2,6}:{(42,1),(43,1)}
        61:{1,3,5,6}:{(43,1),(44,1),(48,1),(53,1),(74,1),(76,1),(77,1),(100,1)}
        62:{2,4,6}:{(44,1),(45,1),(49,1),(75,1),(77,1),(78,1)}
        63:{1,2,3,6}:{(46,1),(47,1),(79,1),(100,1)}
        64:{1,2,5}:{(47,1),(48,1)}
        65:{1,4,5}:{(48,1),(49,1),(77,1)}
        66:{3,4,5}:{(49,1),(78,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(72,1),(75,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(77,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(78,1),(83,1)}
        71:{1,5,6,7}:{(55,1),(67,1),(85,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(68,1),(85,1),(86,1),(107,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(107,1)}
        74:{1,3,5,7}:{(57,1),(58,1),(61,1),(67,1),(87,1),(88,1),(108,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(88,1),(89,1)}
        76:{1,2,5,6}:{(60,1),(61,1),(64,1),(87,1),(90,1),(96,1)}
        77:{1,4,6}:{(61,1),(62,1),(65,1),(88,1)}
        78:{3,4,6}:{(62,1),(66,1),(70,1),(89,1)}
        79:{1,2,3,5}:{(63,1),(64,1),(92,1),(93,1)}
        80:{1,2,4,5}:{(64,1),(65,1),(90,1),(92,1),(93,1),(94,1)}
        81:{1,3,4,5}:{(65,1),(66,1),(91,1),(93,1),(94,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(85,1),(88,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(86,1),(89,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(91,1),(95,1),(96,1)}
        85:{1,4,6,7}:{(71,1),(72,1),(82,1),(97,1)}
        86:{3,6,7}:{(72,1),(83,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(76,1),(98,1),(105,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1)}
        89:{3,4,7}:{(75,1),(78,1),(83,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(98,1),(100,1),(101,1)}
        91:{1,3,4,6}:{(77,1),(78,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        92:{1,2,4}:{(79,1),(102,1)}
        93:{1,3,5}:{(80,1),(100,1),(102,1),(103,1)}
        94:{2,4,5}:{(81,1),(101,1),(103,1),(104,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(97,1),(99,1),(105,1)}
        96:{2,5,6}:{(84,1),(101,1),(105,1),(106,1)}
        97:{1,3,6,7}:{(85,1),(86,1),(95,1),(107,1)}
        98:{1,2,4,7}:{(87,1),(88,1),(90,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(88,1),(89,1),(91,1),(95,1),(108,1),(109,1)}
       100:{1,3,6}:{(90,1),(93,1),(108,1),(110,1)}
       101:{2,4,6}:{(91,1),(94,1),(96,1),(109,1),(110,1),(111,1)}
       102:{1,3,4}:{(92,1),(93,1),(112,1)}
       103:{2,3,5}:{(93,1),(94,1),(110,1),(112,1),(113,1)}
       104:{1,4,5}:{(94,1),(111,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(107,1),(109,1),(114,1)}
       106:{1,5,6}:{(96,1),(111,1),(114,1)}
       107:{2,6,7}:{(97,1),(105,1),(115,1)}
       108:{1,3,7}:{(98,1),(100,1),(116,1)}
       109:{2,4,7}:{(99,1),(101,1),(105,1),(116,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(103,1),(116,1),(118,1)}
       111:{1,4,6}:{(101,1),(104,1),(106,1),(117,1),(118,1)}
       112:{2,3,4}:{(102,1),(103,1),(119,1)}
       113:{1,3,5}:{(103,1),(104,1),(118,1),(119,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(115,1),(117,1)}
       115:{1,6,7}:{(107,1),(114,1)}
       116:{2,3,7}:{(108,1),(109,1),(110,1),(121,1)}
       117:{1,4,7}:{(109,1),(111,1),(114,1),(121,1)}
       118:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       119:{1,3,4}:{(112,1),(113,1),(123,1)}
       120:{1,2,5}:{(113,1),(122,1),(123,1)}
       121:{1,3,7}:{(116,1),(117,1),(118,1),(124,1)}
       122:{1,2,6}:{(118,1),(120,1),(124,1)}
       123:{1,2,4}:{(119,1),(120,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

2397 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2398 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2399 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(79,1),(90,1),(92,1),(95,1),(148,1),(185,1),(193,1),(224,1),(225,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(105,1),(122,1),(161,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(106,1),(119,1),(161,1),(171,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(108,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(78,1),(134,1),(145,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(67,1),(103,1),(123,1),(160,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(25,1),(54,1),(58,1),(65,1),(103,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(207,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(235,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(44,1),(76,1),(93,1),(145,1),(152,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(193,1),(220,1)}
        20:{1,2,4,5,6}:{(32,1),(35,1),(75,1),(81,1),(133,1),(141,1),(151,1),(182,1),(189,1),(190,1),(193,1),(198,1),(220,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(134,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(52,1),(100,1),(103,1),(123,1),(158,1),(171,1),(177,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(21,1),(52,1),(170,1),(177,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(51,1),(55,1),(56,1),(166,1),(201,1),(210,1),(213,1),(237,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(52,1),(57,1),(58,1),(65,1),(103,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(108,1),(118,1),(127,1),(165,1),(208,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(160,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(165,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(75,1),(76,1),(93,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{1,3,4,6}:{(35,1),(73,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(74,1),(81,1),(82,1),(133,1),(139,1),(179,1),(190,1),(191,1),(220,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(75,1),(84,1),(92,1),(133,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(77,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(179,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(137,1),(188,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(225,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(188,1),(225,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(55,1),(100,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(56,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(57,1),(102,1),(122,1),(170,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(58,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(63,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{1,3,4,5}:{(55,1),(110,1),(166,1),(212,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(100,1),(110,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(101,1),(111,1),(112,1),(160,1),(166,1),(169,1),(201,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(103,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(104,1),(116,1),(117,1),(118,1),(124,1),(156,1),(162,1),(170,1),(177,1),(178,1),(201,1),(207,1),(208,1),(213,1),(214,1),(234,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(108,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(83,1),(129,1),(130,1),(144,1),(180,1),(194,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(81,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(82,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(84,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(89,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(90,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(91,1),(137,1),(138,1)}
       109:{2,3,4,6}:{(81,1),(128,1),(139,1),(140,1),(179,1),(191,1),(227,1),(228,1),(240,1)}
       110:{2,4,5}:{(80,1),(81,1),(139,1),(141,1),(190,1),(227,1)}
       111:{1,4,6}:{(81,1),(82,1),(131,1),(141,1)}
       112:{1,2,5,6}:{(82,1),(132,1),(142,1),(190,1),(220,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(133,1),(143,1),(145,1),(179,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(134,1),(144,1),(145,1),(146,1),(194,1),(199,1),(225,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(181,1),(193,1),(196,1),(197,1),(220,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(137,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(138,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(225,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(100,1),(109,1),(155,1),(156,1),(203,1),(214,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(113,1),(157,1),(170,1),(201,1),(213,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(110,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(111,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(112,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(117,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(119,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(120,1)}
       138:{1,3,5}:{(107,1),(108,1),(121,1),(165,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,3,4,6}:{(109,1),(111,1),(156,1),(166,1),(167,1),(169,1),(201,1),(210,1),(212,1),(236,1),(242,1)}
       141:{1,4,5}:{(110,1),(111,1),(166,1),(236,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(159,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(207,1),(217,1),(235,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(160,1),(170,1),(172,1),(201,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(162,1),(173,1),(174,1),(203,1),(213,1),(232,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(164,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(165,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(139,1),(179,1),(180,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(140,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(141,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(142,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(146,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(147,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(148,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(149,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(150,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(190,1),(244,1)}
       167:{2,4,6}:{(140,1),(181,1),(190,1),(191,1),(220,1),(227,1)}
       168:{1,2,4,5}:{(141,1),(142,1),(190,1),(192,1),(227,1)}
       169:{1,3,6}:{(142,1),(184,1),(191,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(220,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(186,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(187,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(188,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(213,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(166,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(167,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(168,1),(171,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(169,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(172,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(173,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(174,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(175,1),(208,1)}
       189:{1,2,4,6}:{(167,1),(200,1),(209,1),(210,1),(230,1),(236,1),(242,1)}
       190:{2,5}:{(166,1),(167,1)}
       191:{2,3,6}:{(167,1),(169,1),(203,1),(210,1),(211,1)}
       192:{1,3,5}:{(168,1),(169,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(206,1),(213,1),(215,1),(216,1),(232,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(207,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(208,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(181,1),(189,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(190,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(191,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(193,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(192,1),(194,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(195,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(196,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(197,1),(225,1)}
       209:{1,2,5}:{(189,1),(190,1),(226,1),(244,1)}
       210:{1,3,6}:{(189,1),(191,1),(219,1),(226,1)}
       211:{2,3,5}:{(190,1),(191,1),(192,1),(226,1),(227,1)}
       212:{1,3,4}:{(192,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(224,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(225,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(209,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(210,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(211,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(213,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(212,1),(214,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(215,1),(235,1)}
       225:{1,5}:{(208,1),(216,1)}
       226:{1,3,5}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4}:{(211,1),(212,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(235,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(226,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(227,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(228,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(229,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(236,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2400 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2401 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2402 :   0:{1,2,3,6,7}:{(2,1),(3,1),(51,1),(96,1),(117,1),(183,1),(420,1),(423,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(51,1),(58,1),(101,1),(183,1),(302,1),(312,1),(313,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(29,1),(89,1),(372,1),(373,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(139,1),(163,1),(241,1),(248,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(85,1),(144,1),(465,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(48,1),(99,1),(108,1),(192,1),(337,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(51,1),(97,1),(191,1),(301,1),(307,1),(420,1),(501,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(125,1),(501,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(216,1),(302,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(51,1),(195,1),(313,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(54,1),(302,1),(417,1)}
        11:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(65,1),(238,1),(392,1),(515,1),(516,1)}
        12:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(66,1),(77,1),(157,1),(164,1),(247,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(28,1),(64,1),(69,1),(79,1),(141,1),(149,1),(163,1),(247,1),(258,1),(382,1),(476,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(363,1),(365,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(28,1),(29,1),(373,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(29,1),(30,1),(74,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(30,1),(158,1),(248,1)}
        18:{2,3,4,6}:{(9,1),(28,1),(34,1),(35,1),(79,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(30,1),(36,1),(37,1),(72,1),(85,1),(158,1),(170,1),(254,1),(267,1),(364,1),(375,1),(465,1)}
        21:{1,2,3,5,6}:{(11,1),(38,1),(42,1),(91,1),(99,1),(108,1),(181,1),(214,1),(286,1),(335,1),(485,1),(486,1)}
        22:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(40,1),(49,1),(94,1),(99,1),(116,1),(213,1),(219,1),(337,1),(440,1)}
        23:{1,2,4,7}:{(11,1),(38,1),(40,1),(296,1),(440,1)}
        24:{1,2,5,7}:{(12,1),(39,1),(42,1),(214,1),(304,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(39,1),(43,1),(44,1),(200,1),(216,1),(304,1),(320,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(417,1),(501,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(51,1),(191,1),(303,1)}
        28:{2,3,4,7}:{(15,1),(18,1),(49,1),(50,1),(125,1),(330,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(51,1),(113,1)}
        31:{1,2,5,6,7}:{(17,1),(47,1),(52,1),(216,1),(308,1),(333,1),(419,1),(432,1)}
        32:{1,3,4,5}:{(19,1),(54,1),(55,1),(417,1),(427,1)}
        33:{1,2,3,6}:{(48,1),(53,1),(56,1),(227,1)}
        34:{1,3,4,6}:{(18,1),(49,1),(56,1),(57,1),(116,1),(122,1),(124,1),(227,1)}
        35:{2,3,5}:{(18,1),(19,1),(54,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(51,1),(55,1),(58,1),(59,1),(313,1),(428,1)}
        37:{1,2,4,5,7}:{(20,1),(52,1),(59,1),(110,1),(125,1),(216,1),(226,1),(314,1),(329,1),(419,1),(429,1),(501,1)}
        38:{1,2,4,6}:{(21,1),(23,1),(60,1),(61,1),(234,1),(344,1),(391,1)}
        39:{1,3,5,7}:{(22,1),(24,1),(25,1),(62,1),(63,1),(274,1),(276,1)}
        40:{1,3,4,7}:{(23,1),(60,1),(64,1),(65,1),(516,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(61,1),(62,1),(65,1),(66,1),(136,1)}
        42:{1,2,5,6}:{(24,1),(63,1),(66,1),(164,1),(242,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(62,1),(68,1),(69,1),(379,1),(476,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(63,1),(69,1),(79,1),(141,1),(145,1),(158,1),(242,1)}
        45:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(68,1),(74,1),(75,1),(86,1),(159,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(31,1),(70,1),(76,1),(80,1),(159,1),(249,1),(365,1),(466,1)}
        48:{1,2,3,7}:{(33,1),(77,1),(285,1)}
        49:{1,3,4,7}:{(28,1),(34,1),(77,1),(78,1),(174,1),(285,1)}
        50:{2,3,5,7}:{(28,1),(29,1),(35,1),(74,1),(78,1),(79,1)}
        51:{1,3,6}:{(29,1),(30,1),(79,1)}
        52:{1,2,4,6,7}:{(30,1),(31,1),(37,1),(76,1),(80,1),(163,1),(281,1),(385,1),(471,1)}
        53:{1,2,3,5}:{(33,1),(83,1),(87,1),(172,1)}
        54:{2,4,5}:{(32,1),(35,1),(84,1),(85,1)}
        55:{1,3,4,6}:{(32,1),(36,1),(85,1),(86,1),(465,1),(472,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(77,1),(83,1),(87,1),(164,1)}
        57:{1,3,5}:{(34,1),(35,1),(84,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(79,1),(85,1),(88,1),(89,1),(158,1),(267,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(80,1),(86,1),(89,1),(373,1),(473,1)}
        60:{1,3,4,6}:{(38,1),(40,1),(90,1),(91,1),(99,1),(398,1),(486,1)}
        61:{1,2,4,5}:{(38,1),(91,1),(177,1),(214,1),(334,1)}
        62:{1,4,5,7}:{(39,1),(43,1),(94,1),(334,1),(440,1)}
        63:{1,3,5,6}:{(39,1),(42,1),(44,1),(94,1),(99,1),(116,1),(215,1)}
        64:{2,3,4,7}:{(40,1),(90,1),(97,1),(98,1),(296,1),(493,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(91,1),(98,1),(99,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(94,1),(99,1),(188,1)}
        67:{1,2,5,6,7}:{(42,1),(95,1),(100,1),(220,1),(304,1),(336,1),(416,1),(432,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(200,1),(427,1),(506,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(94,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(95,1),(105,1),(117,1),(192,1),(200,1),(216,1),(304,1),(432,1),(434,1),(505,1)}
        71:{2,3,4,5}:{(54,1),(106,1),(107,1),(208,1),(327,1),(427,1)}
        72:{1,4,5,6}:{(46,1),(102,1),(109,1),(110,1),(303,1)}
        73:{1,2,3,5,7}:{(48,1),(53,1),(108,1),(111,1),(115,1),(214,1),(217,1),(286,1),(396,1),(483,1)}
        74:{2,4,5,7}:{(45,1),(50,1),(54,1),(112,1),(113,1),(125,1),(216,1)}
        75:{1,3,4,6}:{(45,1),(46,1),(51,1),(104,1),(109,1),(113,1)}
        76:{1,4,6,7}:{(46,1),(47,1),(105,1),(110,1),(501,1)}
        77:{1,2,4,7}:{(48,1),(49,1),(56,1),(115,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(57,1),(112,1),(115,1),(116,1)}
        79:{2,3,6}:{(50,1),(51,1),(113,1),(116,1)}
        80:{1,3,6,7}:{(51,1),(52,1),(59,1),(117,1),(505,1)}
        81:{1,2,3,5,6}:{(53,1),(108,1),(118,1),(119,1),(126,1),(214,1),(224,1),(227,1),(328,1),(332,1),(335,1),(339,1)}
        82:{1,3,4,5,6}:{(55,1),(109,1),(120,1),(121,1),(197,1),(206,1),(316,1),(341,1),(428,1),(441,1)}
        83:{1,2,4}:{(53,1),(122,1)}
        84:{1,4,5}:{(54,1),(57,1),(124,1)}
        85:{2,4,6}:{(54,1),(55,1),(58,1),(124,1),(125,1)}
        86:{1,3,4,7}:{(55,1),(59,1),(125,1),(501,1),(506,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(116,1),(124,1),(126,1),(127,1),(215,1),(227,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(117,1),(125,1),(127,1),(216,1),(329,1),(330,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(130,1),(131,1),(141,1),(234,1),(346,1),(453,1)}
        91:{1,3,5}:{(60,1),(61,1),(131,1)}
        92:{1,2,4,5,6}:{(61,1),(66,1),(132,1),(133,1),(134,1),(234,1),(242,1),(275,1),(354,1),(375,1),(391,1),(447,1),(451,1)}
        93:{1,3,4,5,7}:{(62,1),(65,1),(68,1),(128,1),(136,1),(137,1),(235,1),(243,1)}
        94:{1,4,6}:{(62,1),(63,1),(69,1)}
        95:{1,3,5,6,7}:{(63,1),(67,1),(70,1),(138,1),(142,1),(165,1),(243,1),(276,1),(392,1)}
        96:{1,2,3,7}:{(129,1),(139,1),(461,1)}
        97:{1,3,4,7}:{(64,1),(130,1),(139,1),(140,1),(358,1),(461,1)}
        98:{2,3,5,7}:{(64,1),(65,1),(131,1),(136,1),(140,1),(141,1)}
        99:{1,3,6}:{(65,1),(66,1),(141,1)}
       100:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(138,1),(142,1),(247,1),(457,1),(471,1),(519,1)}
       101:{1,2,3,5}:{(143,1),(144,1),(252,1),(253,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(134,1),(145,1),(146,1),(158,1),(242,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(74,1),(136,1),(147,1),(148,1),(154,1),(229,1),(260,1),(261,1),(349,1),(379,1),(383,1),(470,1),(476,1),(517,1)}
       104:{3,4,6}:{(68,1),(69,1),(145,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(76,1),(138,1),(146,1),(149,1),(476,1)}
       106:{1,3,4,5}:{(71,1),(84,1),(152,1),(153,1),(172,1),(253,1),(370,1)}
       107:{2,3,4,6}:{(71,1),(85,1),(150,1),(153,1),(154,1),(269,1),(386,1),(472,1)}
       108:{1,2,3,6}:{(73,1),(157,1),(164,1),(277,1),(512,1)}
       109:{1,3,5,6}:{(72,1),(75,1),(145,1),(158,1),(159,1)}
       110:{1,4,5,7}:{(72,1),(76,1),(146,1),(159,1),(365,1)}
       111:{1,2,4,7}:{(73,1),(83,1),(157,1),(160,1),(344,1)}
       112:{1,4,5,7}:{(74,1),(78,1),(84,1),(162,1),(174,1),(276,1)}
       113:{2,4,6}:{(74,1),(75,1),(79,1),(158,1),(162,1)}
       114:{1,3,4,6,7}:{(75,1),(76,1),(80,1),(86,1),(149,1),(159,1),(163,1)}
       115:{1,2,5,7}:{(77,1),(78,1),(87,1),(164,1)}
       116:{1,3,6}:{(78,1),(79,1),(162,1),(164,1)}
       117:{2,3,6,7}:{(79,1),(80,1),(89,1),(163,1),(165,1),(385,1)}
       118:{1,2,3,5,7}:{(81,1),(155,1),(166,1),(175,1),(272,1),(279,1),(285,1),(387,1),(392,1)}
       119:{1,2,4,6}:{(81,1),(83,1),(166,1),(168,1),(169,1),(386,1),(391,1)}
       120:{2,4,5,6}:{(82,1),(85,1),(150,1),(158,1),(170,1),(171,1),(267,1),(386,1),(477,1)}
       121:{1,3,4,5,7}:{(82,1),(86,1),(159,1),(167,1),(171,1),(256,1),(268,1),(376,1),(395,1),(473,1),(481,1)}
       122:{1,3,4}:{(83,1),(151,1),(172,1)}
       123:{1,2,4,5}:{(83,1),(84,1),(87,1),(152,1),(172,1),(173,1)}
       124:{1,4,6}:{(84,1),(85,1),(88,1),(174,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(174,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(164,1),(173,1),(175,1),(267,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(165,1),(174,1),(175,1),(276,1),(285,1)}
       128:{1,3,4,5}:{(91,1),(177,1),(178,1),(334,1),(427,1)}
       129:{1,2,3,6}:{(96,1),(176,1),(179,1),(412,1)}
       130:{1,3,4,6}:{(90,1),(97,1),(179,1),(180,1),(191,1),(293,1),(295,1),(412,1)}
       131:{2,3,5}:{(90,1),(91,1),(177,1),(180,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(99,1),(178,1),(181,1),(182,1),(428,1),(486,1)}
       133:{1,2,4,5,7}:{(92,1),(100,1),(182,1),(185,1),(296,1),(304,1),(336,1),(411,1),(429,1),(440,1),(487,1),(492,1)}
       134:{1,4,5,6}:{(94,1),(102,1),(184,1),(185,1),(215,1)}
       135:{1,2,3,5,7}:{(96,1),(101,1),(176,1),(183,1),(186,1),(190,1),(193,1),(302,1),(305,1),(310,1)}
       136:{2,4,5,7}:{(93,1),(98,1),(177,1),(187,1),(188,1),(296,1),(304,1)}
       137:{1,3,4,6}:{(93,1),(94,1),(99,1),(104,1),(184,1),(188,1)}
       138:{1,4,6,7}:{(94,1),(95,1),(105,1),(185,1),(440,1)}
       139:{1,2,4,7}:{(96,1),(97,1),(179,1),(190,1)}
       140:{1,3,5,7}:{(97,1),(98,1),(180,1),(187,1),(190,1),(191,1)}
       141:{2,3,6}:{(98,1),(99,1),(188,1),(191,1)}
       142:{1,3,6,7}:{(99,1),(100,1),(182,1),(192,1),(505,1)}
       143:{1,2,3,6}:{(101,1),(193,1),(194,1),(313,1)}
       144:{1,2,4}:{(101,1),(195,1)}
       145:{3,5,6}:{(102,1),(104,1),(200,1)}
       146:{2,4,5,7}:{(102,1),(105,1),(110,1),(185,1),(200,1),(216,1),(304,1)}
       147:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(187,1),(202,1),(203,1),(210,1),(217,1),(287,1),(305,1),(322,1),(334,1),(405,1),(417,1),(421,1),(427,1),(440,1),(501,1),(506,1),(531,1)}
       148:{2,3,4,6}:{(103,1),(104,1),(113,1),(188,1),(199,1),(203,1),(323,1),(433,1),(435,1),(504,1),(536,1)}
       149:{3,4,6,7}:{(104,1),(105,1),(200,1),(505,1),(506,1)}
       150:{2,3,5,6}:{(107,1),(120,1),(206,1),(207,1),(428,1)}
       151:{2,3,4}:{(122,1),(195,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(124,1),(206,1),(209,1),(210,1),(227,1),(313,1),(424,1)}
       154:{2,3,4,7}:{(107,1),(125,1),(207,1),(210,1),(330,1),(437,1),(506,1)}
       155:{1,2,3,6,7}:{(108,1),(118,1),(211,1),(220,1),(337,1),(339,1),(396,1),(436,1)}
       156:{1,4,5,6,7}:{(110,1),(198,1),(212,1),(416,1),(426,1),(510,1)}
       157:{1,2,4,6}:{(108,1),(111,1),(213,1),(214,1)}
       158:{2,5,6}:{(109,1),(113,1),(215,1),(216,1)}
       159:{1,3,5,7}:{(109,1),(110,1),(114,1),(200,1),(216,1)}
       160:{1,3,4,7}:{(111,1),(122,1),(201,1),(213,1),(217,1),(398,1),(440,1)}
       161:{1,2,4,5,7}:{(111,1),(112,1),(115,1),(123,1),(202,1),(214,1),(217,1),(218,1),(228,1),(334,1),(336,1),(399,1),(440,1),(483,1),(487,1),(531,1)}
       162:{1,4,6}:{(112,1),(113,1),(116,1),(215,1)}
       163:{2,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(216,1),(219,1)}
       164:{1,2,6}:{(115,1),(116,1)}
       165:{1,3,6,7}:{(116,1),(117,1),(127,1),(219,1),(220,1)}
       166:{1,2,4,7}:{(118,1),(119,1),(221,1),(437,1),(440,1)}
       167:{1,3,4,6,7}:{(121,1),(212,1),(223,1),(315,1),(326,1),(426,1),(505,1)}
       168:{1,3,4,6}:{(119,1),(122,1),(205,1),(221,1),(224,1),(227,1),(339,1)}
       169:{1,2,4,5}:{(119,1),(214,1),(224,1),(327,1),(334,1)}
       170:{1,4,5,6}:{(120,1),(124,1),(206,1),(215,1),(226,1),(424,1),(502,1)}
       171:{2,4,5,7}:{(120,1),(121,1),(125,1),(207,1),(216,1),(223,1),(226,1),(329,1),(437,1),(509,1)}
       172:{1,3,5}:{(122,1),(123,1),(208,1),(227,1)}
       173:{1,2,4,6}:{(123,1),(124,1),(126,1),(209,1),(227,1),(228,1)}
       174:{1,4,7}:{(124,1),(125,1),(127,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(220,1),(228,1),(329,1)}
       176:{1,2,3,5}:{(129,1),(232,1),(236,1),(356,1)}
       177:{2,4,5}:{(128,1),(131,1),(233,1),(234,1)}
       178:{1,3,4,6}:{(128,1),(132,1),(234,1),(235,1),(391,1),(472,1)}
       179:{1,2,4,6}:{(129,1),(130,1),(139,1),(232,1),(236,1),(248,1)}
       180:{1,3,5}:{(130,1),(131,1),(233,1),(236,1)}
       181:{2,3,5,6}:{(131,1),(132,1),(141,1),(234,1),(237,1),(238,1),(242,1),(451,1),(453,1)}
       182:{1,3,5,7}:{(132,1),(133,1),(142,1),(235,1),(238,1),(473,1),(516,1)}
       183:{1,2,3,6}:{(135,1),(241,1),(248,1),(366,1),(369,1)}
       184:{1,3,5,6}:{(134,1),(137,1),(145,1),(242,1),(243,1)}
       185:{1,4,5,7}:{(134,1),(138,1),(146,1),(243,1),(276,1)}
       186:{1,2,4,7}:{(135,1),(144,1),(232,1),(241,1),(244,1)}
       187:{1,4,5,7}:{(136,1),(140,1),(233,1),(246,1),(358,1),(365,1)}
       188:{2,4,6}:{(136,1),(137,1),(141,1),(242,1),(246,1)}
       189:{1,3,4,6,7}:{(137,1),(138,1),(142,1),(149,1),(235,1),(243,1),(247,1)}
       190:{1,2,5,7}:{(139,1),(140,1),(236,1),(248,1)}
       191:{1,3,6}:{(140,1),(141,1),(246,1),(248,1)}
       192:{2,3,6,7}:{(141,1),(142,1),(238,1),(247,1),(249,1),(519,1)}
       193:{1,2,3,7}:{(143,1),(250,1),(373,1)}
       194:{1,2,4,6}:{(143,1),(144,1),(250,1),(251,1),(252,1),(369,1)}
       195:{1,3,4}:{(144,1),(151,1),(253,1)}
       196:{1,2,4,5}:{(144,1),(152,1),(252,1),(253,1),(254,1),(370,1)}
       197:{3,4,5,6}:{(145,1),(255,1),(256,1),(472,1),(528,1)}
       198:{2,4,5,6,7}:{(146,1),(156,1),(240,1),(257,1),(273,1),(362,1),(374,1),(471,1),(530,1)}
       199:{2,3,5,6}:{(145,1),(148,1),(158,1),(242,1),(255,1),(259,1),(260,1),(477,1),(528,1),(546,1)}
       200:{3,5,7}:{(145,1),(146,1),(149,1)}
       201:{2,3,4,7}:{(151,1),(160,1),(244,1),(258,1),(261,1),(346,1),(476,1)}
       202:{2,4,5,7}:{(147,1),(152,1),(261,1),(262,1),(270,1),(347,1),(379,1),(381,1),(454,1),(476,1)}
       203:{1,3,4,6}:{(147,1),(148,1),(162,1),(246,1),(259,1),(262,1),(277,1),(366,1),(391,1),(465,1),(467,1),(472,1),(543,1)}
       204:{2,3,4,6,7}:{(148,1),(149,1),(154,1),(163,1),(247,1),(260,1),(263,1),(265,1),(349,1),(374,1),(382,1),(449,1),(476,1),(478,1),(529,1),(547,1)}
       205:{2,3,4,6}:{(151,1),(168,1),(251,1),(264,1),(266,1),(269,1),(384,1),(386,1)}
       206:{1,3,5,6}:{(150,1),(153,1),(170,1),(267,1),(268,1)}
       207:{2,3,5,7}:{(150,1),(154,1),(171,1),(265,1),(268,1),(473,1)}
       208:{2,3,5}:{(151,1),(152,1),(172,1),(253,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(267,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(174,1),(268,1),(270,1),(285,1),(373,1),(469,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(166,1),(271,1),(272,1),(280,1),(443,1),(478,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(159,1),(167,1),(257,1),(273,1),(481,1)}
       213:{1,3,4,6}:{(157,1),(160,1),(258,1),(274,1),(277,1),(391,1)}
       214:{1,2,5}:{(157,1),(274,1)}
       215:{1,5,6}:{(158,1),(162,1),(276,1)}
       216:{2,5,7}:{(158,1),(159,1),(163,1),(276,1)}
       217:{1,3,5,7}:{(160,1),(161,1),(172,1),(261,1),(274,1),(277,1),(285,1),(446,1),(516,1)}
       218:{1,2,4,6}:{(161,1),(162,1),(164,1),(262,1),(275,1),(277,1),(391,1),(512,1),(543,1)}
       219:{1,4,6,7}:{(162,1),(163,1),(165,1),(174,1),(276,1)}
       220:{1,2,6,7}:{(164,1),(165,1),(175,1),(385,1)}
       221:{1,3,4,7}:{(166,1),(168,1),(264,1),(279,1),(285,1)}
       222:{1,2,4,5,7}:{(166,1),(169,1),(272,1),(279,1),(280,1),(383,1),(388,1)}
       223:{2,4,6,7}:{(167,1),(171,1),(265,1),(273,1),(281,1),(385,1)}
       224:{1,3,5}:{(168,1),(169,1),(266,1)}
       225:{1,2,4,5,6}:{(169,1),(170,1),(173,1),(267,1),(275,1),(280,1),(283,1),(284,1),(375,1),(386,1),(391,1),(477,1),(479,1)}
       226:{1,4,5,7}:{(170,1),(171,1),(174,1),(268,1),(276,1),(281,1),(469,1),(527,1)}
       227:{1,3,6}:{(172,1),(173,1),(269,1),(285,1)}
       228:{1,2,4,7}:{(173,1),(174,1),(175,1),(270,1),(285,1)}
       229:{2,3,4,5}:{(177,1),(287,1),(288,1),(403,1),(427,1),(490,1)}
       230:{1,2,3,5,6}:{(176,1),(183,1),(289,1),(290,1),(297,1),(302,1),(409,1),(412,1),(415,1),(418,1),(491,1),(495,1)}
       231:{1,3,4,5,6}:{(178,1),(184,1),(197,1),(291,1),(292,1),(316,1),(401,1),(428,1),(497,1),(539,1)}
       232:{1,2,4}:{(176,1),(293,1)}
       233:{1,4,5}:{(177,1),(180,1),(295,1)}
       234:{2,4,6}:{(177,1),(178,1),(181,1),(295,1),(296,1)}
       235:{1,3,4,7}:{(178,1),(182,1),(296,1),(440,1),(506,1)}
       236:{1,2,5}:{(179,1),(180,1)}
       237:{1,3,5,6}:{(180,1),(181,1),(191,1),(295,1),(297,1),(298,1),(303,1),(412,1)}
       238:{2,3,5,7}:{(181,1),(182,1),(192,1),(296,1),(298,1),(304,1),(492,1),(493,1)}
       239:{1,2,3,6,7}:{(183,1),(193,1),(289,1),(299,1),(308,1),(420,1),(495,1),(537,1)}
       240:{1,4,5,6,7}:{(185,1),(198,1),(300,1),(333,1),(426,1),(541,1)}
       241:{1,2,4,6}:{(183,1),(186,1),(301,1),(302,1)}
       242:{2,5,6}:{(184,1),(188,1),(303,1),(304,1)}
       243:{1,3,5,7}:{(184,1),(185,1),(189,1),(200,1),(304,1)}
       244:{1,3,4,7}:{(186,1),(195,1),(201,1),(293,1),(301,1),(305,1),(501,1)}
       245:{1,2,4,5,7}:{(186,1),(187,1),(190,1),(196,1),(202,1),(294,1),(302,1),(305,1),(306,1),(310,1),(314,1),(413,1),(417,1),(419,1),(421,1),(501,1)}
       246:{1,4,6}:{(187,1),(188,1),(191,1),(303,1)}
       247:{2,4,6,7}:{(188,1),(189,1),(192,1),(296,1),(304,1),(307,1)}
       248:{1,2,6}:{(190,1),(191,1)}
       249:{1,3,6,7}:{(191,1),(192,1),(298,1),(307,1),(308,1)}
       250:{1,2,4,7}:{(193,1),(194,1),(309,1),(310,1)}
       251:{1,3,4,6}:{(194,1),(195,1),(205,1),(309,1),(311,1),(313,1),(422,1),(424,1)}
       252:{1,2,5}:{(194,1),(311,1)}
       253:{1,3,5}:{(195,1),(196,1),(208,1),(313,1)}
       254:{1,2,4,6}:{(196,1),(209,1),(312,1),(313,1),(314,1),(424,1)}
       255:{2,4,5,6}:{(197,1),(199,1),(316,1),(317,1),(433,1)}
       256:{3,4,5,7}:{(197,1),(200,1),(315,1),(317,1),(506,1),(542,1)}
       257:{3,5,6,7}:{(198,1),(200,1),(315,1),(505,1),(542,1)}
       258:{2,3,4,6}:{(201,1),(213,1),(301,1),(320,1),(323,1),(433,1)}
       259:{1,3,5,6}:{(199,1),(203,1),(215,1),(303,1),(316,1),(321,1),(322,1),(428,1),(502,1),(549,1)}
       260:{2,3,5,7}:{(199,1),(200,1),(204,1),(216,1),(304,1),(317,1),(322,1),(509,1),(542,1),(551,1)}
       261:{2,3,5,7}:{(201,1),(202,1),(208,1),(217,1),(305,1),(320,1),(323,1),(330,1),(403,1),(493,1)}
       262:{2,4,6}:{(202,1),(203,1),(321,1),(323,1)}
       263:{1,3,4,6,7}:{(203,1),(204,1),(210,1),(219,1),(307,1),(322,1),(324,1),(326,1),(337,1),(405,1),(420,1),(426,1),(440,1),(489,1),(501,1),(503,1),(505,1),(506,1),(550,1)}
       264:{2,3,4,7}:{(205,1),(221,1),(309,1),(325,1),(330,1),(437,1)}
       265:{2,3,6,7}:{(207,1),(223,1),(326,1),(505,1)}
       266:{2,3,5}:{(205,1),(224,1),(311,1),(327,1)}
       267:{2,5,6}:{(206,1),(209,1),(329,1)}
       268:{1,3,5,7}:{(206,1),(207,1),(210,1),(226,1),(326,1),(329,1)}
       269:{2,3,6}:{(208,1),(209,1),(227,1),(313,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(329,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(221,1),(318,1),(331,1),(337,1),(339,1),(438,1),(440,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(214,1),(331,1),(332,1),(509,1)}
       273:{2,5,6,7}:{(212,1),(216,1),(223,1),(333,1),(509,1)}
       274:{1,3,5}:{(213,1),(214,1),(320,1),(334,1)}
       275:{1,2,5,6}:{(214,1),(215,1),(218,1),(321,1),(335,1),(336,1),(549,1)}
       276:{1,5,7}:{(215,1),(216,1),(219,1)}
       277:{1,3,6}:{(217,1),(218,1),(323,1)}
       278:{1,2,4,6,7}:{(218,1),(219,1),(220,1),(228,1),(324,1),(336,1),(337,1),(440,1),(487,1),(533,1),(550,1)}
       279:{1,3,5,7}:{(221,1),(222,1),(224,1),(325,1),(339,1)}
       280:{1,2,4,6}:{(222,1),(332,1),(339,1),(435,1),(438,1)}
       281:{1,4,6,7}:{(223,1),(226,1),(326,1),(333,1)}
       282:{1,3,4,5}:{(224,1),(327,1),(334,1),(341,1),(427,1)}
       283:{1,3,5,6}:{(224,1),(225,1),(227,1),(328,1),(339,1),(341,1),(342,1),(428,1)}
       284:{1,2,4,5,7}:{(225,1),(226,1),(228,1),(329,1),(336,1),(340,1),(342,1),(429,1),(437,1),(440,1),(509,1),(510,1)}
       285:{1,3,7}:{(227,1),(228,1),(330,1)}
       286:{1,2,3,5}:{(343,1),(344,1),(445,1),(446,1)}
       287:{1,3,4,5}:{(229,1),(233,1),(347,1),(348,1),(356,1),(446,1),(513,1)}
       288:{2,3,4,6}:{(229,1),(234,1),(345,1),(348,1),(349,1),(453,1),(472,1),(520,1)}
       289:{1,2,3,5,7}:{(230,1),(239,1),(350,1),(359,1),(361,1),(455,1),(461,1),(466,1),(521,1)}
       290:{1,2,4,6}:{(230,1),(232,1),(350,1),(352,1),(353,1),(465,1),(520,1)}
       291:{2,4,5,6}:{(231,1),(234,1),(242,1),(345,1),(354,1),(355,1),(451,1),(520,1),(546,1)}
       292:{1,3,4,5,7}:{(231,1),(235,1),(243,1),(256,1),(351,1),(355,1),(376,1),(452,1),(473,1),(524,1),(548,1)}
       293:{1,3,4}:{(232,1),(346,1),(356,1)}
       294:{1,2,4,5}:{(232,1),(233,1),(236,1),(347,1),(356,1),(357,1)}
       295:{1,4,6}:{(233,1),(234,1),(237,1),(358,1)}
       296:{2,4,7}:{(234,1),(235,1),(238,1),(358,1)}
       297:{1,2,5,6}:{(236,1),(237,1),(248,1),(357,1),(359,1),(451,1)}
       298:{1,3,5,7}:{(237,1),(238,1),(249,1),(358,1),(359,1),(365,1),(461,1)}
       299:{1,2,4,6,7}:{(239,1),(241,1),(250,1),(350,1),(360,1),(361,1),(369,1),(456,1),(547,1)}
       300:{1,3,5,6,7}:{(240,1),(243,1),(257,1),(351,1),(362,1),(548,1)}
       301:{1,3,4,6}:{(241,1),(244,1),(258,1),(363,1),(366,1),(465,1)}
       302:{1,2,5}:{(241,1),(363,1)}
       303:{1,5,6}:{(242,1),(246,1),(365,1)}
       304:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       305:{1,3,5,7}:{(244,1),(245,1),(253,1),(261,1),(356,1),(363,1),(366,1),(373,1),(461,1)}
       306:{1,2,4,6}:{(245,1),(246,1),(248,1),(262,1),(364,1),(366,1),(369,1),(465,1),(467,1)}
       307:{1,4,6,7}:{(246,1),(247,1),(249,1),(358,1),(365,1)}
       308:{1,2,6,7}:{(248,1),(249,1),(359,1),(519,1)}
       309:{1,3,4,7}:{(250,1),(251,1),(264,1),(368,1),(373,1),(469,1)}
       310:{1,2,5,7}:{(250,1),(252,1),(368,1),(369,1)}
       311:{1,3,5}:{(251,1),(252,1),(266,1),(370,1)}
       312:{1,2,5,6}:{(252,1),(254,1),(267,1),(369,1),(371,1),(372,1)}
       313:{1,3,6}:{(253,1),(254,1),(269,1),(373,1)}
       314:{1,2,4,7}:{(254,1),(270,1),(372,1),(373,1),(469,1)}
       315:{3,4,6,7}:{(256,1),(257,1),(374,1)}
       316:{1,4,5,6}:{(255,1),(259,1),(375,1),(376,1),(391,1),(465,1)}
       317:{2,4,5,7}:{(255,1),(256,1),(260,1),(374,1),(376,1),(476,1)}
       318:{2,3,4,6,7}:{(258,1),(264,1),(271,1),(360,1),(377,1),(382,1),(384,1),(448,1),(474,1),(476,1),(478,1),(518,1),(529,1),(547,1)}
       319:{2,3,5,6,7}:{(257,1),(260,1),(265,1),(273,1),(362,1),(374,1),(378,1),(449,1)}
       320:{2,3,5}:{(258,1),(274,1),(363,1),(379,1)}
       321:{2,5,6}:{(259,1),(262,1),(381,1)}
       322:{1,3,5,7}:{(259,1),(260,1),(263,1),(276,1),(365,1),(376,1),(381,1),(473,1),(527,1),(552,1)}
       323:{2,3,6}:{(261,1),(262,1),(277,1),(366,1)}
       324:{2,4,6,7}:{(262,1),(263,1),(270,1),(381,1),(382,1),(385,1),(454,1),(476,1),(519,1)}
       325:{2,3,5,7}:{(264,1),(266,1),(279,1),(368,1),(383,1),(384,1)}
       326:{1,3,6,7}:{(265,1),(268,1),(281,1),(385,1)}
       327:{2,4,5}:{(266,1),(282,1),(370,1),(386,1)}
       328:{2,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(371,1),(384,1),(386,1),(387,1),(477,1)}
       329:{2,5,7}:{(267,1),(268,1),(270,1),(385,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(373,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(274,1),(377,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(280,1),(389,1),(477,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(281,1),(527,1)}
       334:{1,4,5}:{(274,1),(379,1),(391,1)}
       335:{1,3,5,6}:{(274,1),(275,1),(277,1),(380,1),(391,1),(392,1)}
       336:{1,2,5,7}:{(275,1),(276,1),(278,1),(381,1),(392,1),(552,1)}
       337:{1,3,6,7}:{(277,1),(278,1),(285,1),(382,1),(392,1),(516,1)}
       338:{1,3,4,5,7}:{(279,1),(282,1),(383,1),(388,1),(393,1),(395,1),(470,1),(481,1)}
       339:{1,3,6}:{(279,1),(280,1),(384,1)}
       340:{1,2,4,6,7}:{(280,1),(281,1),(284,1),(385,1),(390,1),(394,1),(471,1),(478,1),(480,1)}
       341:{1,3,4,6}:{(282,1),(283,1),(386,1),(391,1),(395,1),(472,1)}
       342:{1,3,5,7}:{(283,1),(284,1),(285,1),(387,1),(394,1),(395,1),(473,1)}
       343:{1,2,3,6}:{(286,1),(396,1),(397,1),(486,1)}
       344:{1,2,4}:{(286,1),(398,1)}
       345:{2,3,5,6}:{(288,1),(291,1),(401,1),(402,1),(428,1)}
       346:{2,3,4}:{(293,1),(398,1),(403,1)}
       347:{2,4,5}:{(287,1),(403,1),(404,1)}
       348:{1,3,4,6}:{(287,1),(288,1),(295,1),(401,1),(404,1),(405,1),(412,1),(486,1),(534,1)}
       349:{2,3,4,7}:{(288,1),(296,1),(402,1),(405,1),(493,1),(506,1),(538,1)}
       350:{1,2,4,7}:{(289,1),(290,1),(406,1),(501,1),(538,1)}
       351:{1,3,4,6,7}:{(292,1),(300,1),(315,1),(408,1),(426,1),(489,1),(505,1)}
       352:{1,3,4,6}:{(290,1),(293,1),(400,1),(406,1),(409,1),(412,1),(495,1)}
       353:{1,2,4,5}:{(290,1),(302,1),(409,1),(417,1),(490,1)}
       354:{1,4,5,6}:{(291,1),(295,1),(303,1),(401,1),(411,1),(534,1),(549,1)}
       355:{2,4,5,7}:{(291,1),(292,1),(296,1),(304,1),(402,1),(408,1),(411,1),(492,1),(538,1),(551,1)}
       356:{1,3,5}:{(293,1),(294,1),(403,1),(412,1)}
       357:{1,2,4,6}:{(294,1),(295,1),(297,1),(404,1),(412,1),(413,1)}
       358:{1,4,7}:{(295,1),(296,1),(298,1)}
       359:{1,2,5,7}:{(297,1),(298,1),(308,1),(413,1),(492,1)}
       360:{1,3,4,6,7}:{(299,1),(301,1),(309,1),(318,1),(406,1),(414,1),(420,1),(422,1),(495,1),(499,1),(501,1),(503,1)}
       361:{1,2,5,7}:{(299,1),(302,1),(414,1),(415,1),(551,1)}
       362:{2,5,6,7}:{(300,1),(304,1),(408,1),(416,1),(551,1)}
       363:{1,3,5}:{(301,1),(302,1),(320,1),(417,1)}
       364:{1,2,5,6}:{(302,1),(303,1),(306,1),(321,1),(418,1),(419,1),(502,1)}
       365:{1,5,7}:{(303,1),(304,1),(307,1)}
       366:{1,3,6}:{(305,1),(306,1),(323,1)}
       367:{1,2,4,6,7}:{(306,1),(307,1),(308,1),(314,1),(324,1),(413,1),(419,1),(420,1),(423,1),(501,1),(503,1)}
       368:{1,3,5,7}:{(309,1),(310,1),(311,1),(325,1),(421,1),(422,1)}
       369:{1,2,6}:{(310,1),(422,1)}
       370:{1,4,5}:{(311,1),(327,1),(424,1)}
       371:{1,3,5,6}:{(311,1),(312,1),(313,1),(328,1),(422,1),(424,1),(425,1),(502,1)}
       372:{1,2,5,7}:{(312,1),(314,1),(329,1),(423,1),(425,1)}
       373:{1,3,7}:{(313,1),(314,1),(330,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(319,1),(426,1)}
       375:{2,4,5,6}:{(316,1),(321,1),(428,1),(429,1),(433,1)}
       376:{1,4,5,7}:{(316,1),(317,1),(322,1),(426,1),(429,1),(440,1),(501,1)}
       377:{2,3,5,7}:{(318,1),(320,1),(331,1),(414,1),(430,1),(431,1),(509,1),(542,1),(551,1)}
       378:{1,3,5,6,7}:{(319,1),(322,1),(326,1),(333,1),(416,1),(426,1),(432,1),(489,1),(505,1)}
       379:{2,4,5}:{(320,1),(334,1),(417,1),(427,1),(433,1)}
       380:{2,3,5,6}:{(320,1),(321,1),(323,1),(335,1),(418,1),(428,1),(433,1),(434,1)}
       381:{2,5,7}:{(321,1),(322,1),(324,1)}
       382:{2,3,6,7}:{(323,1),(324,1),(330,1),(337,1),(420,1),(434,1),(493,1),(505,1)}
       383:{2,4,5,7}:{(325,1),(327,1),(338,1),(421,1),(435,1),(437,1),(509,1)}
       384:{2,3,6}:{(325,1),(339,1),(422,1),(435,1)}
       385:{2,6,7}:{(326,1),(329,1)}
       386:{2,4,6}:{(327,1),(328,1),(341,1),(424,1),(437,1)}
       387:{2,3,5,7}:{(328,1),(329,1),(330,1),(342,1),(425,1),(436,1),(437,1),(509,1)}
       388:{1,4,5,7}:{(331,1),(334,1),(430,1),(438,1),(440,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(339,1),(431,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(340,1),(432,1),(439,1),(509,1),(533,1)}
       391:{1,4,6}:{(334,1),(335,1),(433,1),(440,1)}
       392:{1,3,5,7}:{(335,1),(336,1),(337,1),(434,1),(440,1)}
       393:{1,3,4,6}:{(338,1),(339,1),(435,1),(438,1),(441,1),(504,1)}
       394:{1,3,6,7}:{(339,1),(340,1),(342,1),(436,1),(505,1)}
       395:{1,3,4,7}:{(341,1),(342,1),(437,1),(440,1),(506,1)}
       396:{1,2,3,7}:{(343,1),(443,1),(516,1)}
       397:{1,2,4,6}:{(343,1),(344,1),(443,1),(444,1),(445,1),(512,1)}
       398:{1,3,4}:{(344,1),(346,1),(446,1)}
       399:{1,2,4,5}:{(344,1),(347,1),(445,1),(446,1),(447,1),(513,1)}
       400:{2,3,4,6}:{(346,1),(352,1),(444,1),(448,1),(450,1),(453,1),(518,1),(520,1)}
       401:{1,3,5,6}:{(345,1),(348,1),(354,1),(451,1),(452,1)}
       402:{2,3,5,7}:{(345,1),(349,1),(355,1),(449,1),(452,1),(473,1)}
       403:{2,3,5}:{(346,1),(347,1),(356,1),(446,1),(453,1)}
       404:{2,4,6}:{(347,1),(348,1),(451,1),(453,1),(454,1)}
       405:{1,3,4,7}:{(348,1),(349,1),(358,1),(452,1),(454,1),(461,1),(516,1),(545,1)}
       406:{1,3,4,7}:{(350,1),(352,1),(448,1),(455,1),(461,1)}
       407:{1,2,4,5,7}:{(350,1),(353,1),(361,1),(455,1),(456,1),(462,1),(517,1)}
       408:{2,4,6,7}:{(351,1),(355,1),(362,1),(449,1),(457,1),(519,1)}
       409:{1,3,5}:{(352,1),(353,1),(450,1)}
       410:{1,2,4,5,6}:{(353,1),(354,1),(357,1),(364,1),(375,1),(451,1),(456,1),(459,1),(460,1),(465,1),(520,1),(525,1),(546,1)}
       411:{1,4,5,7}:{(354,1),(355,1),(358,1),(365,1),(452,1),(457,1),(545,1),(552,1)}
       412:{1,3,6}:{(356,1),(357,1),(453,1),(461,1)}
       413:{1,2,4,7}:{(357,1),(358,1),(359,1),(454,1),(461,1)}
       414:{1,3,5,7}:{(360,1),(361,1),(363,1),(377,1),(462,1),(463,1),(527,1)}
       415:{1,2,5,6}:{(361,1),(369,1),(456,1),(463,1),(546,1)}
       416:{1,5,6,7}:{(362,1),(365,1),(457,1),(552,1)}
       417:{1,4,5}:{(363,1),(379,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(380,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(381,1),(466,1),(527,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(373,1),(382,1),(461,1),(466,1)}
       421:{1,4,5,7}:{(368,1),(370,1),(383,1),(467,1),(469,1),(527,1)}
       422:{1,3,6}:{(368,1),(369,1),(384,1),(467,1)}
       423:{1,2,6,7}:{(369,1),(372,1),(385,1),(468,1)}
       424:{1,4,6}:{(370,1),(371,1),(386,1),(469,1)}
       425:{1,3,5,7}:{(371,1),(372,1),(373,1),(387,1),(468,1),(469,1),(527,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(378,1),(471,1)}
       427:{3,4,5}:{(379,1),(472,1)}
       428:{3,5,6}:{(375,1),(472,1),(473,1)}
       429:{2,4,5,7}:{(375,1),(376,1),(381,1),(471,1),(473,1),(476,1)}
       430:{2,4,5,7}:{(377,1),(379,1),(388,1),(462,1),(470,1),(474,1),(476,1)}
       431:{2,3,5,6}:{(377,1),(384,1),(389,1),(463,1),(474,1),(477,1),(518,1),(528,1),(546,1)}
       432:{2,5,6,7}:{(378,1),(381,1),(385,1),(471,1),(519,1)}
       433:{2,4,6}:{(379,1),(380,1),(391,1),(465,1),(472,1),(476,1)}
       434:{2,3,5,7}:{(380,1),(381,1),(382,1),(392,1),(466,1),(473,1),(476,1)}
       435:{2,4,6}:{(383,1),(384,1),(393,1),(467,1),(477,1)}
       436:{2,3,6,7}:{(384,1),(385,1),(387,1),(394,1),(468,1),(478,1)}
       437:{2,4,7}:{(386,1),(387,1),(395,1),(469,1)}
       438:{1,4,6}:{(388,1),(389,1),(474,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(394,1),(475,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,4,7}:{(391,1),(392,1),(476,1)}
       441:{1,3,5,6}:{(393,1),(477,1),(479,1),(481,1),(528,1)}
       442:{1,3,4,6,7}:{(393,1),(394,1),(395,1),(478,1),(480,1),(481,1),(529,1)}
       443:{1,2,4,7}:{(396,1),(397,1),(482,1),(483,1)}
       444:{1,3,4,6}:{(397,1),(398,1),(400,1),(482,1),(484,1),(486,1),(532,1),(534,1)}
       445:{1,2,5}:{(397,1),(484,1)}
       446:{1,3,5}:{(398,1),(399,1),(403,1),(486,1)}
       447:{1,2,4,6}:{(399,1),(404,1),(485,1),(486,1),(487,1),(534,1)}
       448:{2,3,4,7}:{(400,1),(406,1),(482,1),(488,1),(493,1),(538,1)}
       449:{2,3,6,7}:{(402,1),(408,1),(489,1),(505,1)}
       450:{2,3,5}:{(400,1),(409,1),(484,1),(490,1)}
       451:{2,5,6}:{(401,1),(404,1),(492,1)}
       452:{1,3,5,7}:{(401,1),(402,1),(405,1),(411,1),(489,1),(492,1)}
       453:{2,3,6}:{(403,1),(404,1),(412,1),(486,1),(493,1)}
       454:{2,4,7}:{(404,1),(405,1),(492,1),(493,1)}
       455:{1,3,5,7}:{(406,1),(407,1),(409,1),(488,1),(495,1)}
       456:{1,2,4,6}:{(407,1),(415,1),(495,1),(499,1),(536,1)}
       457:{1,4,6,7}:{(408,1),(411,1),(416,1),(489,1)}
       458:{1,3,4,5}:{(409,1),(417,1),(427,1),(490,1),(497,1)}
       459:{1,3,5,6}:{(409,1),(410,1),(412,1),(428,1),(491,1),(495,1),(497,1),(498,1)}
       460:{1,2,4,5,7}:{(410,1),(411,1),(413,1),(419,1),(429,1),(492,1),(496,1),(498,1),(501,1),(538,1),(541,1),(551,1)}
       461:{1,3,7}:{(412,1),(413,1),(493,1)}
       462:{1,4,5,7}:{(414,1),(417,1),(430,1),(499,1),(501,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(431,1),(495,1),(499,1),(502,1)}
       464:{1,2,5,6,7}:{(415,1),(416,1),(419,1),(423,1),(432,1),(496,1),(500,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(433,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(434,1),(501,1)}
       467:{1,4,6}:{(421,1),(422,1),(435,1),(502,1)}
       468:{1,3,6,7}:{(422,1),(423,1),(425,1),(436,1),(503,1)}
       469:{1,4,7}:{(424,1),(425,1),(437,1)}
       470:{3,4,5,7}:{(427,1),(430,1),(504,1),(506,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(432,1),(505,1)}
       472:{3,4,6}:{(427,1),(428,1),(433,1),(506,1)}
       473:{3,5,7}:{(428,1),(429,1),(505,1),(506,1)}
       474:{2,4,6}:{(430,1),(431,1),(438,1),(499,1),(504,1)}
       475:{2,3,5,6,7}:{(431,1),(432,1),(434,1),(436,1),(439,1),(500,1),(505,1),(508,1),(509,1),(537,1),(542,1),(551,1)}
       476:{2,4,7}:{(433,1),(434,1),(440,1),(501,1),(506,1)}
       477:{2,5,6}:{(435,1),(441,1),(502,1),(509,1)}
       478:{2,4,6,7}:{(435,1),(436,1),(437,1),(442,1),(503,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(441,1),(507,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(440,1),(508,1),(510,1)}
       481:{1,3,5,7}:{(441,1),(442,1),(509,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(448,1),(511,1),(516,1),(545,1)}
       483:{1,2,5,7}:{(443,1),(445,1),(511,1),(512,1)}
       484:{1,3,5}:{(444,1),(445,1),(450,1),(513,1)}
       485:{1,2,5,6}:{(445,1),(447,1),(451,1),(512,1),(514,1),(515,1)}
       486:{1,3,6}:{(446,1),(447,1),(453,1),(516,1)}
       487:{1,2,4,7}:{(447,1),(454,1),(515,1),(516,1),(545,1)}
       488:{2,3,5,7}:{(448,1),(450,1),(455,1),(511,1),(517,1),(518,1)}
       489:{1,3,6,7}:{(449,1),(452,1),(457,1),(519,1)}
       490:{2,4,5}:{(450,1),(458,1),(513,1),(520,1)}
       491:{2,3,5,6}:{(450,1),(451,1),(453,1),(459,1),(514,1),(518,1),(520,1),(521,1),(546,1)}
       492:{2,5,7}:{(451,1),(452,1),(454,1),(519,1)}
       493:{2,3,7}:{(453,1),(454,1),(461,1),(516,1)}
       494:{1,3,4,5,7}:{(455,1),(458,1),(462,1),(470,1),(517,1),(522,1),(524,1),(548,1)}
       495:{1,3,6}:{(455,1),(456,1),(518,1)}
       496:{1,2,4,6,7}:{(456,1),(457,1),(460,1),(464,1),(471,1),(519,1),(523,1),(526,1),(547,1)}
       497:{1,3,4,6}:{(458,1),(459,1),(465,1),(472,1),(520,1),(524,1)}
       498:{1,3,5,7}:{(459,1),(460,1),(461,1),(473,1),(521,1),(523,1),(524,1)}
       499:{1,4,6}:{(462,1),(463,1),(474,1)}
       500:{1,3,5,6,7}:{(463,1),(464,1),(466,1),(468,1),(475,1),(523,1),(526,1),(527,1),(548,1)}
       501:{1,4,7}:{(465,1),(466,1),(476,1)}
       502:{1,5,6}:{(467,1),(477,1),(527,1)}
       503:{1,4,6,7}:{(467,1),(468,1),(469,1),(478,1),(527,1)}
       504:{3,4,6}:{(470,1),(474,1),(528,1)}
       505:{3,6,7}:{(471,1),(473,1)}
       506:{3,4,7}:{(472,1),(473,1),(476,1)}
       507:{2,4,5,6}:{(474,1),(477,1),(479,1),(525,1),(528,1),(530,1),(546,1)}
       508:{2,4,6,7}:{(474,1),(475,1),(476,1),(480,1),(526,1),(529,1),(530,1)}
       509:{2,5,7}:{(477,1),(478,1),(481,1),(527,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(488,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{1,4,5}:{(484,1),(490,1),(534,1)}
       514:{1,3,5,6}:{(484,1),(485,1),(486,1),(491,1),(532,1),(534,1),(535,1),(549,1)}
       515:{1,2,5,7}:{(485,1),(487,1),(492,1),(533,1),(535,1)}
       516:{1,3,7}:{(486,1),(487,1),(493,1)}
       517:{2,4,5,7}:{(488,1),(490,1),(494,1),(531,1),(536,1),(538,1),(551,1)}
       518:{2,3,6}:{(488,1),(495,1),(532,1),(536,1)}
       519:{2,6,7}:{(489,1),(492,1)}
       520:{2,4,6}:{(490,1),(491,1),(497,1),(534,1),(538,1)}
       521:{2,3,5,7}:{(491,1),(492,1),(493,1),(498,1),(535,1),(537,1),(538,1),(551,1)}
       522:{1,3,4,6}:{(494,1),(495,1),(499,1),(504,1),(536,1),(539,1)}
       523:{1,3,6,7}:{(495,1),(496,1),(498,1),(505,1),(537,1)}
       524:{1,3,4,7}:{(497,1),(498,1),(501,1),(506,1),(538,1)}
       525:{1,4,5,6}:{(499,1),(502,1),(507,1),(539,1),(541,1)}
       526:{1,4,6,7}:{(499,1),(500,1),(501,1),(508,1),(541,1)}
       527:{1,5,7}:{(502,1),(503,1),(509,1)}
       528:{3,5,6}:{(504,1),(507,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(506,1),(508,1),(542,1)}
       530:{2,4,5,7}:{(507,1),(508,1),(509,1),(510,1),(541,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(517,1),(543,1),(545,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(518,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(519,1),(544,1)}
       534:{1,4,6}:{(513,1),(514,1),(520,1),(545,1)}
       535:{1,3,5,7}:{(514,1),(515,1),(516,1),(521,1),(544,1),(545,1),(552,1)}
       536:{2,4,6}:{(517,1),(518,1),(522,1),(543,1),(546,1)}
       537:{2,3,6,7}:{(518,1),(519,1),(521,1),(523,1),(544,1),(547,1)}
       538:{2,4,7}:{(520,1),(521,1),(524,1),(545,1)}
       539:{1,3,5,6}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6,7}:{(522,1),(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,7}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(536,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(537,1),(550,1)}
       545:{1,4,7}:{(534,1),(535,1),(538,1)}
       546:{2,5,6}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,7}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,6}:{(543,1),(546,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2403 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(56,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(24,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(34,1),(85,1),(158,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(12,1),(30,1),(42,1),(79,1),(99,1),(149,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(98,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(56,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(17,1),(119,1),(198,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(121,1),(134,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(17,1),(21,1),(56,1),(62,1),(119,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,3,5,6}:{(5,1),(19,1),(23,1),(24,1),(113,1)}
        12:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(25,1),(66,1),(133,1),(206,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(132,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(236,1),(283,1)}
        16:{2,3,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(70,1),(77,1),(136,1),(151,1),(171,1),(230,1),(279,1),(284,1),(285,1),(309,1)}
        17:{3,4,6,7}:{(7,1),(30,1),(34,1)}
        18:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(34,1),(35,1),(39,1),(74,1),(77,1)}
        19:{2,3,4,6}:{(8,1),(11,1),(36,1),(37,1),(98,1),(150,1),(159,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(88,1),(170,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(12,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(149,1)}
        24:{1,3,5,6}:{(11,1),(13,1),(37,1),(42,1),(43,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(87,1),(98,1),(146,1),(168,1),(170,1),(227,1),(238,1),(242,1),(243,1),(285,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(104,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(17,1),(46,1),(48,1),(56,1),(107,1),(119,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(17,1),(51,1),(198,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(259,1)}
        32:{2,3,4,6}:{(16,1),(50,1),(54,1),(192,1),(209,1),(259,1),(263,1),(297,1),(313,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(54,1),(55,1),(59,1),(102,1),(110,1),(115,1),(174,1),(190,1),(191,1),(208,1),(260,1),(261,1),(296,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(51,1),(56,1)}
        35:{1,3,5,6,7}:{(18,1),(22,1),(49,1),(56,1),(57,1),(62,1),(107,1),(110,1),(119,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(59,1),(133,1),(190,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(24,1),(59,1),(60,1),(123,1),(132,1)}
        38:{2,4,5}:{(20,1),(60,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(119,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(57,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(62,1),(66,1)}
        43:{2,5,6}:{(24,1),(60,1),(66,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(63,1),(66,1),(68,1),(112,1),(122,1),(130,1),(133,1),(186,1),(206,1),(208,1),(260,1),(268,1),(301,1)}
        45:{1,3,5,6}:{(26,1),(67,1),(68,1),(69,1),(113,1),(123,1),(203,1),(269,1),(300,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(72,1),(79,1),(139,1),(149,1),(219,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(140,1),(218,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(72,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,3,5,6}:{(31,1),(32,1),(77,1),(78,1),(236,1),(242,1),(282,1)}
        51:{2,4,5,7}:{(30,1),(31,1),(34,1),(77,1),(79,1),(284,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(227,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(82,1),(136,1),(157,1),(166,1),(222,1),(231,1),(284,1)}
        54:{1,3,4,6}:{(32,1),(33,1),(78,1),(83,1),(150,1),(153,1),(227,1),(243,1),(308,1)}
        55:{2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(89,1),(138,1),(147,1),(212,1),(228,1),(229,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(79,1),(85,1)}
        57:{2,5,6,7}:{(35,1),(85,1),(92,1),(143,1),(147,1)}
        58:{1,2,4,5}:{(38,1),(87,1),(88,1),(160,1),(170,1),(238,1)}
        59:{1,3,4,7}:{(36,1),(37,1),(42,1),(89,1),(161,1),(169,1)}
        60:{2,4,6}:{(37,1),(38,1),(43,1),(89,1),(90,1)}
        61:{2,3,5}:{(38,1),(88,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(85,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(86,1),(93,1),(94,1),(167,1),(221,1),(226,1),(281,1),(289,1)}
        65:{1,2,5,6}:{(43,1),(87,1),(95,1),(96,1),(238,1),(290,1)}
        66:{2,5,7}:{(42,1),(43,1),(89,1),(92,1)}
        67:{2,3,5,6}:{(43,1),(45,1),(90,1),(96,1),(97,1),(98,1),(159,1),(164,1),(238,1),(240,1),(242,1),(290,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(93,1),(97,1),(99,1),(149,1),(161,1),(309,1)}
        69:{1,3,4,6}:{(45,1),(98,1),(99,1),(100,1),(150,1),(227,1),(283,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(244,1),(253,1)}
        71:{2,3,5,6}:{(47,1),(101,1),(103,1),(104,1),(113,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(105,1),(178,1),(252,1),(256,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(251,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(119,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(105,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(57,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(198,1),(206,1),(256,1)}
        78:{1,3,5,6}:{(50,1),(52,1),(54,1),(110,1),(111,1),(113,1),(270,1),(298,1)}
        79:{1,4,5,7}:{(51,1),(52,1),(56,1),(110,1),(112,1),(260,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(189,1)}
        81:{1,2,4,5,7}:{(55,1),(58,1),(114,1),(115,1),(122,1),(173,1),(186,1),(193,1),(208,1),(245,1),(260,1),(261,1),(265,1),(268,1),(296,1),(301,1),(311,1)}
        82:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(62,1),(107,1),(110,1),(116,1),(119,1),(174,1),(190,1),(194,1),(205,1),(255,1),(260,1)}
        83:{2,4,6}:{(54,1),(55,1),(111,1),(117,1)}
        84:{2,3,5,7}:{(55,1),(61,1),(115,1),(117,1),(118,1),(125,1),(176,1),(197,1),(248,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(112,1),(119,1)}
        86:{2,3,5,6,7}:{(57,1),(64,1),(109,1),(119,1),(120,1),(128,1),(183,1),(188,1),(198,1),(206,1),(256,1),(258,1),(267,1),(303,1),(313,1)}
        87:{1,2,4,6}:{(58,1),(60,1),(65,1),(122,1),(123,1),(132,1),(201,1)}
        88:{1,3,5}:{(58,1),(61,1),(121,1),(123,1),(124,1)}
        89:{2,4,7}:{(59,1),(60,1),(66,1),(125,1)}
        90:{2,3,6}:{(60,1),(61,1),(123,1),(125,1)}
        91:{2,3,4}:{(61,1),(124,1)}
        92:{2,6,7}:{(62,1),(66,1)}
        93:{1,3,6,7}:{(63,1),(68,1),(119,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(120,1),(130,1),(260,1),(302,1)}
        95:{1,2,5,7}:{(65,1),(66,1),(122,1),(127,1),(131,1),(268,1)}
        96:{1,3,5,6}:{(65,1),(67,1),(123,1),(131,1),(132,1),(203,1),(269,1),(270,1)}
        97:{2,3,5,7}:{(66,1),(67,1),(68,1),(125,1),(128,1),(131,1),(133,1),(200,1),(206,1),(268,1)}
        98:{2,4,6}:{(67,1),(69,1),(132,1),(133,1),(134,1)}
        99:{1,3,4,7}:{(68,1),(69,1),(133,1),(190,1),(260,1),(299,1)}
       100:{1,3,4,5}:{(69,1),(134,1),(191,1),(203,1),(261,1),(300,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(136,1),(137,1),(150,1),(218,1),(271,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(211,1),(278,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(149,1)}
       104:{1,3,5,6}:{(71,1),(73,1),(137,1),(139,1),(140,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(146,1),(210,1),(218,1),(224,1),(227,1),(278,1),(282,1),(285,1),(305,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(85,1),(141,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(86,1),(144,1),(145,1),(165,1),(223,1),(226,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(82,1),(147,1),(149,1),(241,1),(281,1)}
       111:{2,5,6}:{(78,1),(83,1),(147,1)}
       112:{2,4,5,7}:{(79,1),(80,1),(85,1),(147,1),(149,1),(228,1)}
       113:{3,5,6}:{(80,1),(149,1),(150,1)}
       114:{1,2,4,6}:{(81,1),(83,1),(146,1),(153,1),(227,1),(232,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       115:{1,3,5,7}:{(81,1),(84,1),(88,1),(151,1),(153,1),(154,1),(161,1),(211,1),(234,1),(273,1),(309,1)}
       116:{2,4,6,7}:{(82,1),(83,1),(89,1),(92,1),(143,1),(147,1),(155,1),(212,1),(228,1)}
       117:{2,3,6}:{(83,1),(84,1),(153,1)}
       118:{2,3,4,7}:{(84,1),(91,1),(154,1),(156,1),(214,1),(228,1)}
       119:{3,6,7}:{(85,1),(149,1)}
       120:{2,4,6,7}:{(86,1),(94,1),(145,1),(157,1),(158,1),(228,1),(284,1),(287,1),(310,1)}
       121:{2,3,5}:{(88,1),(159,1),(160,1),(238,1)}
       122:{1,2,4,7}:{(87,1),(89,1),(95,1),(161,1),(169,1),(237,1)}
       123:{1,3,6}:{(87,1),(88,1),(90,1),(159,1),(161,1)}
       124:{1,3,4}:{(88,1),(91,1),(160,1)}
       125:{2,3,7}:{(89,1),(90,1),(161,1)}
       126:{2,3,4,6}:{(90,1),(91,1),(98,1),(162,1),(163,1),(164,1),(240,1),(283,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(97,1),(165,1),(166,1),(240,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(99,1),(157,1),(166,1),(167,1),(172,1)}
       130:{1,4,5,7}:{(94,1),(158,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(97,1),(161,1),(165,1),(169,1),(241,1)}
       132:{1,4,6}:{(96,1),(98,1),(169,1),(170,1)}
       133:{2,4,7}:{(97,1),(98,1),(99,1),(169,1)}
       134:{2,4,5}:{(98,1),(100,1),(164,1),(170,1),(238,1)}
       135:{1,3,4,5,7}:{(99,1),(100,1),(167,1),(171,1),(172,1),(230,1),(239,1),(286,1),(309,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(174,1),(190,1),(252,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(104,1),(174,1),(175,1),(246,1),(251,1)}
       138:{2,4,5}:{(102,1),(175,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(174,1),(178,1)}
       140:{2,5,6}:{(104,1),(175,1),(178,1)}
       141:{1,2,4,5,7}:{(105,1),(106,1),(108,1),(112,1),(178,1),(180,1),(185,1),(186,1),(245,1),(252,1),(256,1),(260,1),(296,1),(301,1),(311,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(179,1),(180,1),(181,1),(246,1),(294,1),(300,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(178,1)}
       144:{1,3,6,7}:{(108,1),(119,1),(180,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(120,1),(185,1),(260,1),(302,1)}
       146:{1,2,5,6}:{(111,1),(114,1),(186,1),(187,1),(265,1),(270,1),(298,1),(303,1)}
       147:{2,5,7}:{(110,1),(111,1),(116,1)}
       148:{2,3,5,6}:{(111,1),(113,1),(117,1),(187,1),(188,1),(189,1),(197,1)}
       149:{3,5,7}:{(112,1),(113,1),(119,1),(190,1)}
       150:{3,4,6}:{(113,1),(189,1),(190,1),(191,1)}
       151:{2,3,5,7}:{(115,1),(121,1),(192,1),(193,1),(200,1),(244,1),(265,1),(268,1),(291,1),(311,1)}
       152:{1,2,4,6,7}:{(114,1),(116,1),(122,1),(127,1),(182,1),(186,1),(194,1),(205,1),(245,1),(255,1),(260,1),(264,1)}
       153:{1,3,6}:{(114,1),(115,1),(117,1),(192,1),(313,1)}
       154:{1,3,4,7}:{(115,1),(118,1),(124,1),(193,1),(195,1),(247,1),(260,1),(299,1)}
       155:{2,3,6,7}:{(116,1),(117,1),(119,1),(125,1),(188,1),(194,1),(248,1)}
       156:{2,3,4,6}:{(117,1),(118,1),(189,1),(195,1),(197,1)}
       157:{3,4,6,7}:{(119,1),(120,1),(190,1),(198,1),(263,1),(299,1),(313,1)}
       158:{2,4,5,7}:{(120,1),(130,1),(185,1),(198,1),(199,1),(206,1),(256,1)}
       159:{2,3,6}:{(121,1),(123,1),(200,1),(201,1)}
       160:{2,4}:{(121,1),(124,1)}
       161:{1,3,7}:{(122,1),(123,1),(125,1),(200,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(132,1),(201,1),(202,1),(203,1),(269,1)}
       163:{2,3,4,7}:{(125,1),(126,1),(133,1),(202,1),(204,1),(299,1)}
       164:{2,3,5}:{(126,1),(134,1),(203,1),(300,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(133,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(198,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(199,1),(207,1),(298,1),(302,1)}
       169:{1,4,7}:{(131,1),(132,1),(133,1)}
       170:{1,4,5}:{(132,1),(134,1),(203,1)}
       171:{2,4,5,7}:{(133,1),(134,1),(135,1),(204,1),(206,1),(208,1),(209,1),(268,1)}
       172:{1,3,4,6}:{(135,1),(207,1),(209,1),(263,1),(269,1),(302,1),(313,1)}
       173:{1,2,4,5}:{(138,1),(210,1),(211,1),(272,1),(278,1),(305,1)}
       174:{1,3,4,7}:{(136,1),(137,1),(139,1),(212,1),(273,1),(277,1)}
       175:{2,4,6}:{(137,1),(138,1),(140,1),(212,1),(213,1)}
       176:{2,3,5}:{(138,1),(211,1),(213,1),(214,1)}
       177:{1,2,5,6}:{(140,1),(210,1),(215,1),(216,1),(305,1),(314,1)}
       178:{2,5,7}:{(139,1),(140,1),(143,1),(212,1)}
       179:{2,3,5,6}:{(140,1),(142,1),(213,1),(216,1),(217,1),(218,1),(271,1),(276,1),(282,1),(305,1),(307,1),(314,1)}
       180:{1,3,5,7}:{(141,1),(142,1),(144,1),(149,1),(217,1),(219,1),(273,1),(309,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(218,1),(219,1),(220,1),(227,1),(283,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(217,1),(221,1),(222,1),(307,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(157,1),(219,1),(222,1),(223,1),(280,1)}
       185:{1,4,5,7}:{(145,1),(158,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(147,1),(152,1),(226,1),(241,1),(281,1),(288,1)}
       187:{1,3,5,6}:{(146,1),(148,1),(153,1),(225,1),(226,1),(227,1),(234,1)}
       188:{2,3,5,7}:{(147,1),(148,1),(149,1),(155,1),(226,1),(228,1)}
       189:{2,4,6}:{(148,1),(150,1),(227,1),(228,1),(229,1)}
       190:{3,4,7}:{(149,1),(150,1),(228,1)}
       191:{3,4,5}:{(150,1),(229,1)}
       192:{2,3,6}:{(151,1),(153,1),(232,1),(290,1),(314,1)}
       193:{2,4,7}:{(151,1),(154,1),(160,1),(232,1),(272,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(155,1),(161,1),(226,1),(231,1),(273,1)}
       195:{1,3,4,6}:{(153,1),(154,1),(156,1),(227,1),(232,1),(234,1),(283,1)}
       196:{2,3,4,6,7}:{(155,1),(156,1),(157,1),(163,1),(166,1),(222,1),(228,1),(233,1),(235,1),(240,1),(275,1),(287,1),(307,1)}
       197:{2,3,5}:{(156,1),(229,1),(234,1)}
       198:{3,5,7}:{(157,1),(158,1),(236,1)}
       199:{2,4,5,6}:{(158,1),(168,1),(224,1),(236,1),(242,1),(282,1),(287,1),(310,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{2,4,6}:{(159,1),(160,1),(162,1),(237,1),(238,1),(290,1)}
       202:{1,3,4,7}:{(161,1),(162,1),(163,1),(169,1),(237,1),(239,1)}
       203:{1,3,5}:{(162,1),(164,1),(170,1),(238,1)}
       204:{2,3,5,7}:{(163,1),(164,1),(171,1),(239,1),(240,1),(309,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(172,1),(236,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(239,1),(241,1),(243,1)}
       209:{2,4,6}:{(171,1),(172,1),(240,1),(242,1),(243,1),(290,1)}
       210:{1,2,4,6}:{(173,1),(175,1),(177,1),(245,1),(246,1),(251,1),(292,1)}
       211:{1,3,5}:{(173,1),(176,1),(244,1),(246,1),(247,1)}
       212:{2,4,7}:{(174,1),(175,1),(178,1),(248,1)}
       213:{2,3,6}:{(175,1),(176,1),(246,1),(248,1)}
       214:{2,3,4}:{(176,1),(247,1)}
       215:{1,2,5,7}:{(177,1),(178,1),(182,1),(245,1),(250,1),(311,1)}
       216:{1,3,5,6}:{(177,1),(179,1),(246,1),(250,1),(251,1),(294,1),(298,1),(312,1)}
       217:{2,3,5,7}:{(178,1),(179,1),(180,1),(183,1),(248,1),(250,1),(252,1),(256,1),(291,1),(311,1)}
       218:{2,4,6}:{(179,1),(181,1),(251,1),(252,1),(253,1)}
       219:{1,3,4,7}:{(180,1),(181,1),(190,1),(252,1),(260,1),(299,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(253,1),(261,1),(294,1),(300,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(252,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(198,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(199,1),(257,1),(270,1),(302,1)}
       225:{2,3,5,6}:{(187,1),(192,1),(258,1),(259,1),(265,1),(300,1),(303,1),(313,1)}
       226:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(258,1),(260,1)}
       227:{1,4,6}:{(187,1),(189,1),(259,1),(260,1),(261,1)}
       228:{2,4,7}:{(188,1),(189,1),(190,1),(260,1)}
       229:{2,4,5}:{(189,1),(191,1),(197,1),(261,1)}
       230:{3,4,5,7}:{(190,1),(191,1),(198,1),(262,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(194,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{2,4,6}:{(192,1),(193,1),(195,1),(265,1)}
       233:{1,3,4,6,7}:{(194,1),(195,1),(196,1),(202,1),(205,1),(255,1),(260,1),(264,1),(266,1),(269,1),(293,1),(299,1),(302,1),(312,1),(313,1)}
       234:{1,3,5}:{(195,1),(197,1),(261,1),(265,1),(300,1)}
       235:{2,3,5,7}:{(196,1),(197,1),(198,1),(206,1),(256,1),(262,1),(266,1),(267,1)}
       236:{3,5,6}:{(198,1),(199,1),(263,1),(313,1)}
       237:{2,4,7}:{(200,1),(201,1),(202,1),(268,1)}
       238:{2,5}:{(201,1),(203,1)}
       239:{1,3,5,7}:{(202,1),(203,1),(204,1),(208,1),(268,1),(269,1)}
       240:{2,3,6}:{(204,1),(209,1),(269,1),(313,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{2,3,5}:{(211,1),(271,1),(272,1),(305,1)}
       245:{1,2,4,7}:{(210,1),(212,1),(215,1),(273,1),(277,1),(304,1)}
       246:{1,3,6}:{(210,1),(211,1),(213,1),(271,1),(273,1)}
       247:{1,3,4}:{(211,1),(214,1),(272,1)}
       248:{2,3,7}:{(212,1),(213,1),(273,1)}
       249:{2,3,4,6}:{(213,1),(214,1),(218,1),(274,1),(275,1),(276,1),(283,1),(307,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(217,1),(221,1),(273,1),(277,1),(281,1)}
       251:{1,4,6}:{(216,1),(218,1),(277,1),(278,1)}
       252:{2,4,7}:{(217,1),(218,1),(219,1),(277,1)}
       253:{2,4,5}:{(218,1),(220,1),(276,1),(278,1),(305,1)}
       254:{1,3,4,5,7}:{(219,1),(220,1),(223,1),(230,1),(279,1),(280,1),(286,1),(306,1),(309,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(236,1),(280,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(226,1),(231,1),(284,1),(288,1),(309,1)}
       259:{2,4,6}:{(225,1),(227,1),(283,1),(284,1),(285,1)}
       260:{1,4,7}:{(226,1),(227,1),(228,1),(284,1)}
       261:{1,4,5}:{(227,1),(229,1),(234,1),(285,1)}
       262:{2,4,5,7}:{(228,1),(229,1),(230,1),(235,1),(286,1),(287,1)}
       263:{3,4,6}:{(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(233,1),(237,1),(284,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{2,5}:{(232,1),(234,1)}
       266:{1,3,5,7}:{(233,1),(234,1),(235,1),(241,1),(281,1),(286,1),(288,1),(289,1),(309,1)}
       267:{2,3,5,6}:{(235,1),(236,1),(240,1),(242,1),(282,1),(287,1),(289,1),(307,1)}
       268:{2,5,7}:{(237,1),(238,1),(239,1),(290,1)}
       269:{1,3,6}:{(239,1),(240,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{2,3,6}:{(244,1),(246,1),(291,1),(292,1)}
       272:{2,4}:{(244,1),(247,1)}
       273:{1,3,7}:{(245,1),(246,1),(248,1),(291,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(251,1),(292,1),(293,1),(294,1),(312,1)}
       275:{2,3,4,7}:{(248,1),(249,1),(252,1),(293,1),(295,1),(299,1)}
       276:{2,3,5}:{(249,1),(253,1),(294,1),(300,1)}
       277:{1,4,7}:{(250,1),(251,1),(252,1)}
       278:{1,4,5}:{(251,1),(253,1),(294,1)}
       279:{2,4,5,7}:{(252,1),(253,1),(254,1),(256,1),(295,1),(296,1),(297,1),(311,1)}
       280:{1,3,4,6}:{(254,1),(257,1),(263,1),(297,1),(302,1),(312,1),(313,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{3,4,6}:{(259,1),(299,1),(300,1),(313,1)}
       284:{2,4,7}:{(258,1),(259,1),(260,1),(299,1)}
       285:{2,4,5}:{(259,1),(261,1),(265,1),(300,1)}
       286:{1,4,5,7}:{(260,1),(261,1),(262,1),(266,1),(301,1),(302,1)}
       287:{2,4,6}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(266,1),(303,1)}
       289:{1,3,5,6}:{(266,1),(267,1),(269,1),(270,1),(298,1),(302,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{2,4,6}:{(271,1),(272,1),(274,1),(304,1),(305,1),(314,1)}
       293:{1,3,4,7}:{(273,1),(274,1),(275,1),(277,1),(304,1),(306,1)}
       294:{1,3,5}:{(274,1),(276,1),(278,1),(305,1)}
       295:{2,3,5,7}:{(275,1),(276,1),(279,1),(306,1),(307,1),(309,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(279,1),(281,1),(306,1),(308,1)}
       297:{2,4,6}:{(279,1),(280,1),(282,1),(307,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(284,1),(309,1)}
       300:{3,5}:{(283,1),(285,1)}
       301:{2,4,5,7}:{(284,1),(285,1),(286,1),(288,1),(309,1),(310,1)}
       302:{1,4,6}:{(286,1),(287,1),(289,1),(310,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,5}:{(292,1),(294,1)}
       306:{1,3,5,7}:{(293,1),(294,1),(295,1),(296,1),(311,1),(312,1)}
       307:{2,3,6}:{(295,1),(297,1),(312,1),(313,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2404 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2405 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2406 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(49,1),(110,1),(137,1),(191,1),(196,1),(207,1),(229,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(32,1),(36,1),(164,1),(168,1),(261,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(44,1),(86,1),(98,1),(167,1),(181,1),(183,1),(254,1),(275,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(77,1),(151,1),(238,1),(255,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(20,1),(54,1),(65,1),(134,1),(139,1),(194,1),(207,1),(289,1)}
         5:{1,2,3,6}:{(1,1),(17,1),(57,1),(306,1)}
         6:{1,2,4,7}:{(1,1),(14,1),(17,1),(210,1)}
         7:{2,3,4,7}:{(14,1),(19,1),(20,1),(139,1),(226,1)}
         8:{2,4,5,7}:{(2,1),(20,1),(21,1),(65,1),(69,1),(139,1),(227,1),(318,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(57,1),(123,1),(138,1),(301,1)}
        10:{2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(281,1),(297,1)}
        11:{2,3,4,6,7}:{(3,1),(23,1),(25,1),(73,1),(112,1),(196,1),(229,1),(231,1),(285,1),(302,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(32,1),(81,1),(86,1),(150,1),(167,1),(240,1),(242,1),(254,1),(331,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(29,1),(40,1),(99,1),(179,1),(255,1)}
        14:{1,3,4,7}:{(6,1),(7,1),(26,1),(31,1),(32,1),(167,1),(257,1)}
        15:{1,2,3,6,7}:{(5,1),(33,1),(34,1),(88,1),(168,1),(171,1),(250,1),(263,1),(346,1),(396,1)}
        16:{1,2,3,5,6}:{(5,1),(33,1),(35,1),(36,1),(87,1),(91,1),(93,1),(164,1),(171,1),(175,1),(250,1),(264,1),(338,1),(344,1),(394,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(31,1),(36,1)}
        18:{1,2,4,5,7}:{(6,1),(8,1),(27,1),(32,1),(36,1),(37,1),(86,1),(95,1),(167,1),(254,1),(258,1),(261,1),(345,1)}
        19:{2,3,4,6}:{(7,1),(31,1),(39,1),(40,1),(99,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(32,1),(39,1),(40,1),(273,1),(354,1)}
        21:{2,4,6}:{(8,1),(9,1),(40,1),(41,1)}
        22:{1,3,5,6}:{(9,1),(10,1),(41,1),(43,1),(44,1),(102,1),(339,1)}
        23:{1,3,4,6,7}:{(9,1),(11,1),(42,1),(44,1),(88,1),(104,1),(167,1),(183,1),(185,1),(275,1),(278,1),(343,1)}
        24:{2,4,5,6}:{(10,1),(43,1),(46,1),(47,1),(151,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(44,1),(47,1),(324,1),(340,1)}
        26:{2,3,4,7}:{(14,1),(48,1),(49,1),(196,1),(286,1)}
        27:{2,4,5,7}:{(12,1),(49,1),(50,1),(110,1),(114,1),(196,1),(287,1),(366,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(51,1),(57,1),(123,1),(195,1),(301,1)}
        29:{2,3,5,6}:{(13,1),(51,1),(53,1),(54,1),(221,1),(297,1)}
        30:{2,3,4,6,7}:{(13,1),(52,1),(54,1),(67,1),(118,1),(139,1),(225,1),(289,1),(291,1),(302,1)}
        31:{1,3,4,6}:{(14,1),(17,1),(19,1),(48,1),(56,1),(57,1),(123,1)}
        32:{1,3,5,7}:{(14,1),(18,1),(20,1),(49,1),(56,1),(57,1),(303,1),(375,1)}
        33:{1,2,3,5,7}:{(15,1),(16,1),(58,1),(59,1),(124,1),(126,1),(220,1),(308,1),(375,1),(411,1)}
        34:{1,2,4,6,7}:{(15,1),(17,1),(55,1),(58,1),(59,1),(127,1),(214,1),(296,1),(302,1),(306,1)}
        35:{1,2,4,6}:{(16,1),(58,1),(60,1),(61,1),(123,1),(210,1),(212,1),(410,1)}
        36:{1,2,5}:{(17,1),(56,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(50,1),(57,1),(62,1),(123,1),(301,1),(306,1)}
        38:{2,3,4,6,7}:{(19,1),(55,1),(64,1),(67,1),(125,1),(135,1),(139,1),(216,1),(225,1),(302,1),(359,1),(408,1),(425,1)}
        39:{2,3,5}:{(19,1),(56,1),(65,1)}
        40:{2,3,6}:{(20,1),(21,1),(57,1)}
        41:{2,5,6}:{(21,1),(22,1),(69,1)}
        42:{2,4,6,7}:{(21,1),(23,1),(67,1),(69,1),(139,1),(318,1),(321,1)}
        43:{1,4,5,6}:{(22,1),(24,1),(68,1),(72,1),(123,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(25,1),(69,1),(72,1),(142,1),(372,1)}
        45:{2,3,5,6,7}:{(25,1),(70,1),(73,1),(147,1),(231,1),(234,1)}
        46:{3,4,5,6}:{(24,1),(74,1),(195,1),(281,1)}
        47:{2,4,5,7}:{(24,1),(25,1),(72,1),(73,1),(74,1),(196,1)}
        48:{2,3,4,6}:{(26,1),(31,1),(76,1),(77,1),(151,1)}
        49:{2,3,5,7}:{(26,1),(27,1),(32,1),(76,1),(77,1),(329,1),(390,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(78,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(78,1),(80,1),(81,1),(154,1),(339,1)}
        52:{1,3,4,6,7}:{(28,1),(30,1),(79,1),(81,1),(88,1),(156,1),(167,1),(242,1),(244,1),(331,1),(334,1),(343,1)}
        53:{2,4,5,6}:{(29,1),(80,1),(83,1),(84,1),(99,1)}
        54:{2,3,5,7}:{(29,1),(30,1),(81,1),(84,1),(268,1),(340,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(38,1),(75,1),(85,1),(88,1),(89,1),(162,1),(167,1),(169,1),(171,1),(262,1),(337,1),(343,1),(396,1),(421,1)}
        56:{1,3,5}:{(31,1),(36,1),(39,1),(76,1),(86,1)}
        57:{1,3,6}:{(32,1),(37,1),(40,1),(77,1)}
        58:{1,2,4,7}:{(33,1),(35,1),(89,1),(167,1),(260,1),(421,1)}
        59:{1,2,5,7}:{(34,1),(36,1),(85,1),(91,1),(338,1),(340,1)}
        60:{1,3,4,6}:{(35,1),(89,1),(92,1),(93,1),(171,1),(257,1),(344,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(86,1),(93,1),(165,1),(338,1),(393,1)}
        62:{1,2,5,6}:{(36,1),(37,1),(41,1),(78,1),(87,1),(95,1),(339,1)}
        63:{1,2,4,6,7}:{(37,1),(42,1),(79,1),(88,1),(95,1),(167,1),(343,1),(345,1),(346,1)}
        64:{2,3,5,7}:{(38,1),(39,1),(85,1),(96,1),(97,1),(268,1),(340,1),(385,1)}
        65:{2,4,5}:{(39,1),(86,1),(98,1),(99,1)}
        66:{2,3,5,6}:{(39,1),(40,1),(41,1),(87,1),(99,1),(100,1),(102,1)}
        67:{2,3,6,7}:{(40,1),(42,1),(88,1),(100,1),(185,1),(354,1)}
        68:{2,4,5,6}:{(41,1),(43,1),(99,1),(102,1),(103,1)}
        69:{2,5,7}:{(41,1),(42,1),(44,1)}
        70:{1,3,5,6,7}:{(44,1),(45,1),(101,1),(104,1),(185,1),(278,1),(280,1)}
        71:{1,3,4,5,6}:{(43,1),(46,1),(102,1),(105,1),(106,1),(166,1),(186,1),(251,1),(266,1),(347,1),(398,1)}
        72:{1,4,5,7}:{(43,1),(44,1),(47,1),(103,1),(104,1),(167,1)}
        73:{2,4,6,7}:{(45,1),(47,1),(104,1),(108,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(108,1),(242,1),(324,1)}
        75:{2,3,4,6,7}:{(48,1),(55,1),(109,1),(112,1),(125,1),(192,1),(196,1),(216,1),(285,1),(302,1),(311,1),(381,1),(414,1)}
        76:{2,3,5}:{(48,1),(56,1),(110,1)}
        77:{2,3,6}:{(49,1),(50,1),(57,1)}
        78:{2,5,6}:{(50,1),(51,1),(114,1)}
        79:{2,4,6,7}:{(50,1),(52,1),(112,1),(114,1),(196,1),(366,1),(369,1)}
        80:{1,4,5,6}:{(51,1),(53,1),(113,1),(117,1),(123,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(54,1),(114,1),(117,1),(199,1),(372,1)}
        82:{2,3,5,6,7}:{(54,1),(115,1),(118,1),(204,1),(291,1),(294,1)}
        83:{3,4,5,6}:{(53,1),(119,1),(138,1),(221,1)}
        84:{2,4,5,7}:{(53,1),(54,1),(117,1),(118,1),(119,1),(139,1)}
        85:{1,3,5,7}:{(55,1),(56,1),(59,1),(64,1),(109,1),(120,1),(121,1),(370,1),(372,1)}
        86:{1,4,5}:{(56,1),(65,1),(110,1),(123,1)}
        87:{1,3,5,6}:{(56,1),(57,1),(62,1),(66,1),(111,1),(123,1),(124,1)}
        88:{1,3,6,7}:{(57,1),(63,1),(67,1),(112,1),(124,1),(375,1)}
        89:{1,3,4,7}:{(58,1),(60,1),(125,1),(126,1),(375,1)}
        90:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(120,1),(126,1),(127,1),(207,1)}
        91:{1,2,5,6}:{(59,1),(121,1),(127,1),(297,1),(306,1)}
        92:{2,3,4,6}:{(60,1),(125,1),(130,1),(131,1),(212,1),(216,1),(226,1),(286,1),(317,1),(365,1)}
        93:{1,3,5}:{(60,1),(61,1),(131,1)}
        94:{1,2,4,5,6}:{(61,1),(62,1),(68,1),(113,1),(123,1),(127,1),(132,1),(133,1),(145,1),(202,1),(205,1),(212,1),(232,1),(292,1),(297,1),(304,1),(371,1),(376,1),(403,1),(410,1)}
        95:{1,2,5,7}:{(62,1),(63,1),(69,1),(114,1),(124,1),(372,1)}
        96:{2,4,5,7}:{(64,1),(65,1),(120,1),(134,1),(135,1),(139,1),(405,1),(425,1)}
        97:{2,3,5,6}:{(64,1),(121,1),(135,1),(216,1),(221,1),(297,1)}
        98:{3,4,5}:{(65,1),(138,1)}
        99:{2,4,6}:{(65,1),(66,1),(123,1),(138,1),(139,1)}
       100:{2,3,5,7}:{(66,1),(67,1),(69,1),(124,1),(139,1),(142,1)}
       101:{2,5,6,7}:{(69,1),(70,1),(140,1),(321,1)}
       102:{3,5,6}:{(68,1),(138,1),(142,1)}
       103:{2,4,5,7}:{(68,1),(69,1),(72,1),(139,1),(140,1),(142,1)}
       104:{1,4,6,7}:{(70,1),(72,1),(73,1),(140,1)}
       105:{2,4,5,6}:{(71,1),(141,1),(145,1),(146,1),(212,1),(232,1),(297,1)}
       106:{1,3,4,5,7}:{(71,1),(72,1),(74,1),(142,1),(144,1),(146,1),(213,1),(233,1),(298,1),(310,1),(377,1),(413,1)}
       107:{2,4,5,6,7}:{(73,1),(143,1),(147,1),(234,1),(282,1),(382,1)}
       108:{3,4,6,7}:{(73,1),(74,1),(147,1)}
       109:{2,3,5,7}:{(75,1),(76,1),(85,1),(148,1),(149,1),(324,1),(340,1),(349,1)}
       110:{2,4,5}:{(76,1),(86,1),(150,1),(151,1)}
       111:{2,3,5,6}:{(76,1),(77,1),(78,1),(87,1),(151,1),(152,1),(154,1)}
       112:{2,3,6,7}:{(77,1),(79,1),(88,1),(152,1),(244,1),(390,1)}
       113:{2,4,5,6}:{(78,1),(80,1),(151,1),(154,1),(155,1)}
       114:{2,5,7}:{(78,1),(79,1),(81,1)}
       115:{1,3,5,6,7}:{(81,1),(82,1),(153,1),(156,1),(244,1),(334,1),(336,1)}
       116:{1,3,4,5,6}:{(80,1),(83,1),(154,1),(157,1),(158,1),(166,1),(245,1),(251,1),(322,1),(383,1),(416,1)}
       117:{1,4,5,7}:{(80,1),(81,1),(84,1),(155,1),(156,1),(167,1)}
       118:{2,4,6,7}:{(82,1),(84,1),(156,1),(160,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(160,1),(183,1),(268,1)}
       120:{1,4,5,7}:{(85,1),(86,1),(96,1),(148,1),(162,1),(167,1),(393,1),(421,1)}
       121:{1,3,5,6}:{(85,1),(91,1),(97,1),(149,1),(162,1),(171,1),(262,1),(339,1)}
       122:{1,3,4,5}:{(86,1),(93,1),(98,1),(150,1),(165,1),(166,1),(393,1),(397,1),(415,1)}
       123:{1,4,6}:{(86,1),(87,1),(99,1),(151,1),(167,1)}
       124:{1,3,5,7}:{(87,1),(88,1),(95,1),(100,1),(152,1),(167,1)}
       125:{2,3,4,7}:{(89,1),(92,1),(169,1),(170,1),(260,1),(354,1),(390,1)}
       126:{1,3,5,7}:{(89,1),(90,1),(93,1),(170,1),(171,1)}
       127:{1,2,4,6}:{(90,1),(91,1),(162,1),(171,1),(255,1)}
       128:{1,2,5,6,7}:{(91,1),(95,1),(101,1),(153,1),(163,1),(172,1),(280,1),(336,1),(340,1),(346,1),(356,1),(392,1),(395,1)}
       129:{1,2,3,6}:{(164,1),(168,1),(173,1),(344,1)}
       130:{1,3,4,6}:{(92,1),(169,1),(173,1),(174,1),(257,1),(259,1),(262,1),(344,1)}
       131:{2,3,5}:{(92,1),(93,1),(165,1),(174,1)}
       132:{1,3,5,6}:{(93,1),(94,1),(102,1),(154,1),(166,1),(171,1),(175,1),(176,1),(344,1),(398,1),(416,1)}
       133:{1,2,4,5,7}:{(94,1),(95,1),(103,1),(155,1),(167,1),(172,1),(176,1),(190,1),(249,1),(252,1),(260,1),(279,1),(335,1),(340,1),(345,1),(395,1),(399,1),(417,1),(421,1)}
       134:{3,4,5,7}:{(96,1),(98,1),(179,1),(183,1),(268,1),(415,1),(426,1)}
       135:{2,4,6}:{(96,1),(97,1),(162,1),(179,1)}
       136:{2,3,5,6,7}:{(97,1),(100,1),(101,1),(163,1),(180,1),(185,1),(263,1),(268,1),(340,1),(392,1),(419,1),(420,1)}
       137:{2,3,4,5}:{(98,1),(165,1),(181,1),(182,1),(329,1),(397,1)}
       138:{3,4,6}:{(98,1),(99,1),(102,1),(183,1)}
       139:{2,4,7}:{(99,1),(100,1),(167,1),(183,1)}
       140:{2,4,6,7}:{(101,1),(103,1),(104,1),(185,1)}
       141:{2,3,5,6}:{(102,1),(105,1),(182,1),(186,1),(187,1),(398,1)}
       142:{3,5,7}:{(102,1),(103,1),(183,1),(185,1)}
       143:{1,4,5,6,7}:{(104,1),(107,1),(184,1),(188,1),(252,1),(280,1),(355,1)}
       144:{1,3,4,6,7}:{(104,1),(106,1),(108,1),(185,1),(188,1),(189,1),(276,1),(278,1),(355,1),(402,1)}
       145:{1,4,5,6}:{(105,1),(186,1),(190,1),(259,1),(339,1)}
       146:{2,4,5,7}:{(105,1),(106,1),(187,1),(189,1),(190,1),(260,1),(279,1),(340,1)}
       147:{3,5,6,7}:{(107,1),(108,1),(324,1),(402,1)}
       148:{2,4,5,7}:{(109,1),(110,1),(120,1),(191,1),(192,1),(196,1),(378,1),(414,1)}
       149:{2,3,5,6}:{(109,1),(121,1),(192,1),(216,1),(281,1),(297,1)}
       150:{3,4,5}:{(110,1),(195,1)}
       151:{2,4,6}:{(110,1),(111,1),(123,1),(195,1),(196,1)}
       152:{2,3,5,7}:{(111,1),(112,1),(114,1),(124,1),(196,1),(199,1)}
       153:{2,5,6,7}:{(114,1),(115,1),(197,1),(369,1)}
       154:{3,5,6}:{(113,1),(195,1),(199,1)}
       155:{2,4,5,7}:{(113,1),(114,1),(117,1),(196,1),(197,1),(199,1)}
       156:{1,4,6,7}:{(115,1),(117,1),(118,1),(197,1)}
       157:{2,4,5,6}:{(116,1),(198,1),(202,1),(203,1),(212,1),(292,1),(297,1)}
       158:{1,3,4,5,7}:{(116,1),(117,1),(119,1),(199,1),(201,1),(203,1),(213,1),(293,1),(298,1),(358,1),(404,1),(424,1)}
       159:{2,4,5,6,7}:{(118,1),(200,1),(204,1),(222,1),(294,1),(409,1)}
       160:{3,4,6,7}:{(118,1),(119,1),(204,1)}
       161:{1,3,4,5,7}:{(120,1),(122,1),(126,1),(134,1),(191,1),(207,1),(208,1),(213,1),(298,1)}
       162:{1,4,6}:{(120,1),(121,1),(135,1),(192,1)}
       163:{1,3,5,6,7}:{(121,1),(124,1),(128,1),(136,1),(193,1),(209,1),(217,1),(298,1),(307,1),(372,1),(411,1)}
       164:{1,2,3,5}:{(129,1),(210,1),(218,1),(303,1)}
       165:{2,4,5}:{(122,1),(131,1),(211,1),(212,1)}
       166:{1,3,4,6}:{(122,1),(123,1),(132,1),(138,1),(195,1),(212,1),(213,1),(410,1),(412,1),(423,1)}
       167:{1,4,7}:{(123,1),(124,1),(139,1),(196,1)}
       168:{1,2,3,7}:{(129,1),(214,1),(375,1)}
       169:{1,3,4,7}:{(125,1),(130,1),(214,1),(215,1),(305,1),(375,1)}
       170:{2,3,5,7}:{(125,1),(126,1),(131,1),(207,1),(215,1),(216,1)}
       171:{1,3,6}:{(126,1),(127,1),(216,1)}
       172:{1,2,4,6,7}:{(127,1),(128,1),(133,1),(140,1),(197,1),(209,1),(217,1),(235,1),(295,1),(302,1),(321,1),(369,1),(382,1),(409,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(210,1),(214,1),(218,1),(306,1)}
       174:{1,3,5}:{(130,1),(131,1),(211,1),(218,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(212,1),(216,1),(219,1),(220,1),(232,1),(292,1),(297,1),(317,1),(365,1)}
       176:{1,3,5,7}:{(132,1),(133,1),(142,1),(199,1),(213,1),(217,1),(220,1),(375,1),(413,1),(424,1)}
       177:{2,4,5,6}:{(135,1),(205,1),(221,1),(222,1),(297,1)}
       178:{2,3,4,5,7}:{(134,1),(137,1),(207,1),(223,1),(224,1),(229,1),(313,1),(362,1),(405,1),(425,1)}
       179:{3,4,6}:{(134,1),(135,1),(221,1)}
       180:{2,4,6,7}:{(135,1),(136,1),(139,1),(209,1),(222,1),(225,1),(425,1)}
       181:{1,3,4,5}:{(137,1),(211,1),(227,1),(228,1),(303,1)}
       182:{2,3,4,6}:{(137,1),(138,1),(141,1),(212,1),(228,1),(229,1),(365,1),(412,1)}
       183:{3,4,7}:{(138,1),(139,1),(142,1)}
       184:{2,4,5,6,7}:{(140,1),(143,1),(222,1),(230,1),(234,1),(319,1)}
       185:{3,6,7}:{(140,1),(142,1)}
       186:{1,3,5,6}:{(141,1),(145,1),(228,1),(232,1),(233,1)}
       187:{2,3,5,7}:{(141,1),(142,1),(146,1),(229,1),(231,1),(233,1),(413,1)}
       188:{1,3,5,6,7}:{(143,1),(144,1),(147,1),(230,1),(234,1),(298,1)}
       189:{2,4,6,7}:{(144,1),(146,1),(231,1),(234,1),(235,1),(321,1)}
       190:{1,4,5,7}:{(145,1),(146,1),(233,1),(235,1),(305,1),(372,1)}
       191:{3,4,5,7}:{(148,1),(150,1),(238,1),(242,1),(324,1),(397,1),(422,1)}
       192:{2,4,6}:{(148,1),(149,1),(162,1),(238,1)}
       193:{2,3,5,6,7}:{(149,1),(152,1),(153,1),(163,1),(239,1),(244,1),(263,1),(324,1),(340,1),(356,1),(401,1),(402,1)}
       194:{2,3,4,5}:{(150,1),(165,1),(240,1),(241,1),(273,1),(415,1)}
       195:{3,4,6}:{(150,1),(151,1),(154,1),(242,1)}
       196:{2,4,7}:{(151,1),(152,1),(167,1),(242,1)}
       197:{2,4,6,7}:{(153,1),(155,1),(156,1),(244,1)}
       198:{2,3,5,6}:{(154,1),(157,1),(241,1),(245,1),(246,1),(416,1)}
       199:{3,5,7}:{(154,1),(155,1),(242,1),(244,1)}
       200:{1,4,5,6,7}:{(156,1),(159,1),(243,1),(247,1),(252,1),(336,1),(391,1)}
       201:{1,3,4,6,7}:{(156,1),(158,1),(160,1),(244,1),(247,1),(248,1),(332,1),(334,1),(391,1),(420,1)}
       202:{1,4,5,6}:{(157,1),(245,1),(249,1),(259,1),(339,1)}
       203:{2,4,5,7}:{(157,1),(158,1),(246,1),(248,1),(249,1),(260,1),(335,1),(340,1)}
       204:{3,5,6,7}:{(159,1),(160,1),(268,1),(420,1)}
       205:{1,4,5,6}:{(162,1),(177,1),(236,1),(251,1),(252,1),(339,1)}
       206:{1,2,3,5,7}:{(164,1),(168,1),(250,1),(253,1),(261,1),(338,1),(341,1)}
       207:{2,4,5,7}:{(161,1),(165,1),(170,1),(254,1),(255,1),(260,1),(340,1)}
       208:{1,3,4,6}:{(161,1),(162,1),(171,1),(179,1),(238,1),(251,1),(255,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(167,1),(180,1),(239,1),(252,1),(421,1)}
       210:{1,2,4}:{(164,1),(257,1)}
       211:{1,4,5}:{(165,1),(174,1),(259,1)}
       212:{2,4,6}:{(165,1),(166,1),(175,1),(259,1),(260,1)}
       213:{1,3,4,7}:{(166,1),(167,1),(176,1),(183,1),(242,1),(260,1),(421,1),(422,1),(426,1)}
       214:{1,2,4,7}:{(168,1),(169,1),(173,1),(261,1)}
       215:{1,3,5,7}:{(169,1),(170,1),(174,1),(254,1),(261,1),(262,1)}
       216:{2,3,6}:{(170,1),(171,1),(255,1),(262,1)}
       217:{1,3,6,7}:{(171,1),(172,1),(176,1),(185,1),(244,1),(263,1),(402,1),(420,1)}
       218:{1,2,5}:{(173,1),(174,1)}
       219:{1,3,5,6}:{(174,1),(175,1),(259,1),(262,1),(264,1),(265,1),(339,1),(344,1)}
       220:{2,3,5,7}:{(175,1),(176,1),(260,1),(263,1),(265,1),(279,1),(335,1),(340,1),(354,1),(390,1)}
       221:{3,5,6}:{(177,1),(179,1),(268,1)}
       222:{2,4,5,7}:{(177,1),(180,1),(252,1),(268,1),(340,1)}
       223:{1,3,4,5,7}:{(178,1),(181,1),(254,1),(270,1),(271,1),(275,1),(341,1),(351,1),(393,1),(397,1),(421,1),(422,1)}
       224:{2,3,4,6}:{(178,1),(179,1),(255,1),(267,1),(271,1),(388,1),(418,1)}
       225:{3,4,6,7}:{(179,1),(180,1),(183,1),(185,1),(268,1),(420,1),(426,1)}
       226:{2,3,4}:{(257,1),(273,1)}
       227:{2,4,5}:{(181,1),(273,1),(274,1)}
       228:{1,3,4,6}:{(181,1),(182,1),(186,1),(259,1),(274,1),(275,1),(344,1)}
       229:{2,3,4,7}:{(182,1),(183,1),(187,1),(260,1),(275,1),(390,1),(422,1)}
       230:{3,5,6,7}:{(184,1),(185,1),(268,1),(276,1)}
       231:{2,3,6,7}:{(185,1),(187,1),(189,1),(278,1),(402,1)}
       232:{2,5,6}:{(186,1),(274,1),(279,1)}
       233:{1,3,5,7}:{(186,1),(187,1),(190,1),(275,1),(278,1),(279,1)}
       234:{2,5,6,7}:{(188,1),(189,1),(280,1),(340,1)}
       235:{1,4,6,7}:{(189,1),(190,1),(278,1),(280,1)}
       236:{2,4,5,6}:{(192,1),(205,1),(281,1),(282,1),(297,1)}
       237:{2,3,4,5,7}:{(191,1),(194,1),(207,1),(283,1),(284,1),(289,1),(314,1),(361,1),(378,1),(414,1)}
       238:{3,4,6}:{(191,1),(192,1),(281,1)}
       239:{2,4,6,7}:{(192,1),(193,1),(196,1),(209,1),(282,1),(285,1),(414,1)}
       240:{1,3,4,5}:{(194,1),(211,1),(287,1),(288,1),(303,1)}
       241:{2,3,4,6}:{(194,1),(195,1),(198,1),(212,1),(288,1),(289,1),(317,1),(423,1)}
       242:{3,4,7}:{(195,1),(196,1),(199,1)}
       243:{2,4,5,6,7}:{(197,1),(200,1),(282,1),(290,1),(294,1),(367,1)}
       244:{3,6,7}:{(197,1),(199,1)}
       245:{1,3,5,6}:{(198,1),(202,1),(288,1),(292,1),(293,1)}
       246:{2,3,5,7}:{(198,1),(199,1),(203,1),(289,1),(291,1),(293,1),(424,1)}
       247:{1,3,5,6,7}:{(200,1),(201,1),(204,1),(290,1),(294,1),(298,1)}
       248:{2,4,6,7}:{(201,1),(203,1),(291,1),(294,1),(295,1),(369,1)}
       249:{1,4,5,7}:{(202,1),(203,1),(293,1),(295,1),(305,1),(372,1)}
       250:{1,2,3,6}:{(206,1),(296,1),(306,1),(373,1)}
       251:{1,3,5,6}:{(205,1),(208,1),(221,1),(281,1),(297,1),(298,1)}
       252:{1,4,5,7}:{(205,1),(209,1),(222,1),(282,1),(298,1),(372,1)}
       253:{1,2,4,7}:{(206,1),(210,1),(296,1),(299,1)}
       254:{1,4,5,7}:{(207,1),(211,1),(215,1),(301,1),(305,1),(372,1)}
       255:{2,4,6}:{(207,1),(208,1),(216,1),(297,1),(301,1)}
       256:{1,3,4,6,7}:{(208,1),(209,1),(213,1),(217,1),(225,1),(285,1),(298,1),(302,1)}
       257:{1,3,4}:{(210,1),(226,1),(286,1),(303,1)}
       258:{1,2,4,5}:{(210,1),(211,1),(218,1),(227,1),(287,1),(303,1),(304,1)}
       259:{1,4,6}:{(211,1),(212,1),(219,1),(305,1)}
       260:{2,4,7}:{(212,1),(213,1),(220,1),(305,1)}
       261:{1,2,5,7}:{(214,1),(215,1),(218,1),(306,1)}
       262:{1,3,6}:{(215,1),(216,1),(301,1),(306,1)}
       263:{2,3,6,7}:{(216,1),(217,1),(220,1),(302,1),(307,1),(321,1),(369,1)}
       264:{1,2,5,6}:{(218,1),(219,1),(232,1),(292,1),(304,1),(306,1),(308,1)}
       265:{1,3,5,7}:{(219,1),(220,1),(305,1),(307,1),(308,1),(372,1),(375,1)}
       266:{3,4,5,6}:{(221,1),(309,1),(310,1),(423,1)}
       267:{2,3,5,6}:{(221,1),(224,1),(297,1),(309,1),(312,1),(313,1)}
       268:{3,5,7}:{(221,1),(222,1),(225,1)}
       269:{2,3,4,7}:{(226,1),(299,1),(311,1),(314,1),(414,1)}
       270:{2,4,5,7}:{(223,1),(227,1),(314,1),(315,1),(318,1),(378,1),(380,1),(414,1)}
       271:{1,3,4,6}:{(223,1),(224,1),(301,1),(312,1),(315,1),(373,1),(410,1),(412,1)}
       272:{2,3,4,6,7}:{(224,1),(225,1),(229,1),(231,1),(302,1),(313,1),(316,1),(319,1),(408,1),(425,1)}
       273:{2,3,5}:{(226,1),(227,1),(303,1),(317,1)}
       274:{2,4,6}:{(227,1),(228,1),(232,1),(317,1),(318,1)}
       275:{1,3,4,7}:{(228,1),(229,1),(233,1),(305,1),(318,1),(375,1)}
       276:{3,4,6,7}:{(230,1),(310,1),(319,1)}
       277:{2,3,5,6,7}:{(230,1),(231,1),(234,1),(313,1),(319,1),(320,1)}
       278:{1,3,6,7}:{(231,1),(233,1),(235,1),(321,1)}
       279:{2,5,7}:{(232,1),(233,1),(318,1),(321,1)}
       280:{1,5,6,7}:{(234,1),(235,1),(372,1)}
       281:{3,5,6}:{(236,1),(238,1),(324,1)}
       282:{2,4,5,7}:{(236,1),(239,1),(252,1),(324,1),(340,1)}
       283:{1,3,4,5,7}:{(237,1),(240,1),(254,1),(326,1),(327,1),(331,1),(341,1),(387,1),(393,1),(415,1),(421,1),(426,1)}
       284:{2,3,4,6}:{(237,1),(238,1),(255,1),(323,1),(327,1),(352,1),(400,1)}
       285:{3,4,6,7}:{(238,1),(239,1),(242,1),(244,1),(324,1),(402,1),(422,1)}
       286:{2,3,4}:{(257,1),(329,1)}
       287:{2,4,5}:{(240,1),(329,1),(330,1)}
       288:{1,3,4,6}:{(240,1),(241,1),(245,1),(259,1),(330,1),(331,1),(344,1)}
       289:{2,3,4,7}:{(241,1),(242,1),(246,1),(260,1),(331,1),(354,1),(426,1)}
       290:{3,5,6,7}:{(243,1),(244,1),(324,1),(332,1)}
       291:{2,3,6,7}:{(244,1),(246,1),(248,1),(334,1),(420,1)}
       292:{2,5,6}:{(245,1),(330,1),(335,1)}
       293:{1,3,5,7}:{(245,1),(246,1),(249,1),(331,1),(334,1),(335,1)}
       294:{2,5,6,7}:{(247,1),(248,1),(336,1),(340,1)}
       295:{1,4,6,7}:{(248,1),(249,1),(334,1),(336,1)}
       296:{1,2,4,6}:{(250,1),(253,1),(337,1),(338,1)}
       297:{2,5,6}:{(251,1),(255,1),(339,1),(340,1)}
       298:{1,3,5,7}:{(251,1),(252,1),(256,1),(268,1),(324,1),(340,1)}
       299:{1,3,4,7}:{(253,1),(257,1),(269,1),(325,1),(337,1),(341,1),(421,1)}
       300:{1,2,4,5,7}:{(253,1),(254,1),(258,1),(261,1),(270,1),(326,1),(338,1),(341,1),(342,1),(345,1),(393,1),(395,1),(421,1)}
       301:{1,4,6}:{(254,1),(255,1),(262,1),(339,1)}
       302:{2,4,6,7}:{(255,1),(256,1),(260,1),(263,1),(340,1),(343,1)}
       303:{1,3,5}:{(257,1),(258,1),(273,1),(329,1),(344,1)}
       304:{1,2,4,6}:{(258,1),(259,1),(264,1),(274,1),(330,1),(344,1),(345,1)}
       305:{1,4,7}:{(259,1),(260,1),(265,1)}
       306:{1,2,6}:{(261,1),(262,1)}
       307:{1,3,6,7}:{(262,1),(263,1),(265,1),(343,1),(346,1)}
       308:{1,2,5,7}:{(264,1),(265,1),(279,1),(335,1),(345,1),(346,1)}
       309:{2,4,5,6}:{(266,1),(267,1),(347,1),(348,1),(418,1)}
       310:{3,4,5,7}:{(266,1),(268,1),(276,1),(348,1),(426,1)}
       311:{2,3,4,6}:{(269,1),(337,1),(349,1),(352,1),(400,1)}
       312:{1,3,5,6}:{(267,1),(271,1),(339,1),(347,1),(350,1),(351,1),(398,1)}
       313:{2,3,5,7}:{(267,1),(268,1),(272,1),(340,1),(348,1),(351,1)}
       314:{2,3,5,7}:{(269,1),(270,1),(273,1),(341,1),(349,1),(352,1),(354,1)}
       315:{2,4,6}:{(270,1),(271,1),(350,1),(352,1)}
       316:{1,3,4,6,7}:{(271,1),(272,1),(275,1),(278,1),(343,1),(351,1),(353,1),(355,1),(396,1),(402,1),(421,1),(422,1)}
       317:{2,3,6}:{(273,1),(274,1),(344,1),(354,1)}
       318:{2,4,7}:{(274,1),(275,1),(279,1),(354,1)}
       319:{2,4,6,7}:{(276,1),(277,1),(348,1),(355,1)}
       320:{1,3,5,6,7}:{(277,1),(278,1),(280,1),(351,1),(355,1),(356,1),(402,1)}
       321:{2,6,7}:{(278,1),(279,1)}
       322:{3,4,5,6}:{(281,1),(357,1),(358,1),(412,1)}
       323:{2,3,5,6}:{(281,1),(284,1),(297,1),(357,1),(360,1),(361,1)}
       324:{3,5,7}:{(281,1),(282,1),(285,1)}
       325:{2,3,4,7}:{(286,1),(299,1),(359,1),(362,1),(425,1)}
       326:{2,4,5,7}:{(283,1),(287,1),(362,1),(363,1),(366,1),(405,1),(407,1),(425,1)}
       327:{1,3,4,6}:{(283,1),(284,1),(301,1),(360,1),(363,1),(373,1),(410,1),(423,1)}
       328:{2,3,4,6,7}:{(284,1),(285,1),(289,1),(291,1),(302,1),(361,1),(364,1),(367,1),(381,1),(414,1)}
       329:{2,3,5}:{(286,1),(287,1),(303,1),(365,1)}
       330:{2,4,6}:{(287,1),(288,1),(292,1),(365,1),(366,1)}
       331:{1,3,4,7}:{(288,1),(289,1),(293,1),(305,1),(366,1),(375,1)}
       332:{3,4,6,7}:{(290,1),(358,1),(367,1)}
       333:{2,3,5,6,7}:{(290,1),(291,1),(294,1),(361,1),(367,1),(368,1)}
       334:{1,3,6,7}:{(291,1),(293,1),(295,1),(369,1)}
       335:{2,5,7}:{(292,1),(293,1),(366,1),(369,1)}
       336:{1,5,6,7}:{(294,1),(295,1),(372,1)}
       337:{1,3,4,6}:{(296,1),(299,1),(311,1),(359,1),(370,1),(373,1),(410,1)}
       338:{1,2,5}:{(296,1),(370,1)}
       339:{1,5,6}:{(297,1),(301,1),(372,1)}
       340:{2,5,7}:{(297,1),(298,1),(302,1),(372,1)}
       341:{1,3,5,7}:{(299,1),(300,1),(303,1),(314,1),(362,1),(370,1),(373,1),(375,1)}
       342:{1,2,4,6}:{(300,1),(301,1),(306,1),(315,1),(363,1),(371,1),(373,1),(410,1)}
       343:{1,4,6,7}:{(301,1),(302,1),(305,1),(307,1),(372,1)}
       344:{1,3,6}:{(303,1),(304,1),(317,1),(365,1),(375,1)}
       345:{1,2,4,7}:{(304,1),(305,1),(308,1),(318,1),(366,1),(375,1)}
       346:{1,2,6,7}:{(306,1),(307,1),(308,1),(321,1),(369,1)}
       347:{1,4,5,6}:{(309,1),(312,1),(376,1),(377,1),(410,1)}
       348:{2,4,5,7}:{(309,1),(310,1),(313,1),(319,1),(377,1),(425,1)}
       349:{2,3,5}:{(311,1),(370,1),(378,1)}
       350:{2,5,6}:{(312,1),(315,1),(380,1)}
       351:{1,3,5,7}:{(312,1),(313,1),(316,1),(372,1),(377,1),(380,1),(413,1)}
       352:{2,3,6}:{(314,1),(315,1),(373,1)}
       353:{2,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(380,1),(381,1),(414,1)}
       354:{2,3,7}:{(317,1),(318,1),(375,1)}
       355:{1,4,6,7}:{(319,1),(320,1),(377,1),(382,1)}
       356:{2,5,6,7}:{(320,1),(321,1),(380,1),(382,1)}
       357:{2,4,5,6}:{(322,1),(323,1),(383,1),(384,1),(400,1)}
       358:{3,4,5,7}:{(322,1),(324,1),(332,1),(384,1),(422,1)}
       359:{2,3,4,6}:{(325,1),(337,1),(385,1),(388,1),(418,1)}
       360:{1,3,5,6}:{(323,1),(327,1),(339,1),(383,1),(386,1),(387,1),(416,1)}
       361:{2,3,5,7}:{(323,1),(324,1),(328,1),(340,1),(384,1),(387,1)}
       362:{2,3,5,7}:{(325,1),(326,1),(329,1),(341,1),(385,1),(388,1),(390,1)}
       363:{2,4,6}:{(326,1),(327,1),(386,1),(388,1)}
       364:{1,3,4,6,7}:{(327,1),(328,1),(331,1),(334,1),(343,1),(387,1),(389,1),(391,1),(396,1),(420,1),(421,1),(426,1)}
       365:{2,3,6}:{(329,1),(330,1),(344,1),(390,1)}
       366:{2,4,7}:{(330,1),(331,1),(335,1),(390,1)}
       367:{2,4,6,7}:{(332,1),(333,1),(384,1),(391,1)}
       368:{1,3,5,6,7}:{(333,1),(334,1),(336,1),(387,1),(391,1),(392,1),(420,1)}
       369:{2,6,7}:{(334,1),(335,1)}
       370:{1,3,5}:{(337,1),(338,1),(349,1),(385,1),(393,1)}
       371:{1,2,5,6}:{(338,1),(339,1),(342,1),(350,1),(386,1),(394,1),(395,1)}
       372:{1,5,7}:{(339,1),(340,1),(343,1)}
       373:{1,3,6}:{(341,1),(342,1),(352,1),(388,1)}
       374:{1,2,4,6,7}:{(342,1),(343,1),(345,1),(346,1),(353,1),(389,1),(395,1),(396,1),(421,1)}
       375:{1,3,7}:{(344,1),(345,1),(354,1),(390,1)}
       376:{2,4,5,6}:{(347,1),(350,1),(398,1),(399,1),(400,1)}
       377:{1,4,5,7}:{(347,1),(348,1),(351,1),(355,1),(399,1),(421,1)}
       378:{2,4,5}:{(349,1),(393,1),(397,1),(400,1)}
       379:{2,3,5,6}:{(349,1),(350,1),(352,1),(394,1),(398,1),(400,1),(401,1)}
       380:{2,5,7}:{(350,1),(351,1),(353,1)}
       381:{2,3,6,7}:{(352,1),(353,1),(354,1),(396,1),(401,1),(402,1)}
       382:{2,4,6,7}:{(355,1),(356,1),(399,1),(402,1)}
       383:{1,4,5,6}:{(357,1),(360,1),(403,1),(404,1),(410,1)}
       384:{2,4,5,7}:{(357,1),(358,1),(361,1),(367,1),(404,1),(414,1)}
       385:{2,3,5}:{(359,1),(370,1),(405,1)}
       386:{2,5,6}:{(360,1),(363,1),(407,1)}
       387:{1,3,5,7}:{(360,1),(361,1),(364,1),(372,1),(404,1),(407,1),(424,1)}
       388:{2,3,6}:{(362,1),(363,1),(373,1)}
       389:{2,4,6,7}:{(363,1),(364,1),(366,1),(369,1),(407,1),(408,1),(425,1)}
       390:{2,3,7}:{(365,1),(366,1),(375,1)}
       391:{1,4,6,7}:{(367,1),(368,1),(404,1),(409,1)}
       392:{2,5,6,7}:{(368,1),(369,1),(407,1),(409,1)}
       393:{1,4,5}:{(370,1),(378,1),(405,1),(410,1)}
       394:{1,3,5,6}:{(370,1),(371,1),(373,1),(379,1),(406,1),(410,1),(411,1)}
       395:{1,2,5,7}:{(371,1),(372,1),(374,1),(380,1),(407,1),(411,1)}
       396:{1,3,6,7}:{(373,1),(374,1),(375,1),(381,1),(408,1),(411,1)}
       397:{3,4,5}:{(378,1),(412,1)}
       398:{3,5,6}:{(376,1),(412,1),(413,1)}
       399:{2,4,5,7}:{(376,1),(377,1),(380,1),(382,1),(413,1),(414,1)}
       400:{2,4,6}:{(378,1),(379,1),(410,1),(412,1),(414,1)}
       401:{2,3,5,7}:{(379,1),(380,1),(381,1),(411,1),(413,1),(414,1)}
       402:{3,6,7}:{(382,1),(413,1)}
       403:{2,4,5,6}:{(383,1),(386,1),(416,1),(417,1),(418,1)}
       404:{1,4,5,7}:{(383,1),(384,1),(387,1),(391,1),(417,1),(421,1)}
       405:{2,4,5}:{(385,1),(393,1),(415,1),(418,1)}
       406:{2,3,5,6}:{(385,1),(386,1),(388,1),(394,1),(416,1),(418,1),(419,1)}
       407:{2,5,7}:{(386,1),(387,1),(389,1)}
       408:{2,3,6,7}:{(388,1),(389,1),(390,1),(396,1),(419,1),(420,1)}
       409:{2,4,6,7}:{(391,1),(392,1),(417,1),(420,1)}
       410:{1,4,6}:{(393,1),(394,1),(400,1),(418,1),(421,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(396,1),(401,1),(419,1),(421,1)}
       412:{3,4,6}:{(397,1),(398,1),(400,1),(422,1)}
       413:{3,5,7}:{(398,1),(399,1),(402,1),(422,1)}
       414:{2,4,7}:{(400,1),(401,1),(421,1),(422,1)}
       415:{3,4,5}:{(405,1),(423,1)}
       416:{3,5,6}:{(403,1),(423,1),(424,1)}
       417:{2,4,5,7}:{(403,1),(404,1),(407,1),(409,1),(424,1),(425,1)}
       418:{2,4,6}:{(405,1),(406,1),(410,1),(423,1),(425,1)}
       419:{2,3,5,7}:{(406,1),(407,1),(408,1),(411,1),(424,1),(425,1)}
       420:{3,6,7}:{(409,1),(424,1)}
       421:{1,4,7}:{(410,1),(411,1),(414,1),(425,1)}
       422:{3,4,7}:{(412,1),(413,1),(414,1)}
       423:{3,4,6}:{(415,1),(416,1),(418,1),(426,1)}
       424:{3,5,7}:{(416,1),(417,1),(420,1),(426,1)}
       425:{2,4,7}:{(418,1),(419,1),(421,1),(426,1)}
       426:{3,4,7}:{(423,1),(424,1),(425,1)}

2407 :   0:{2,3,4,6,7}:{(2,1),(3,1),(18,1),(20,1),(50,1),(62,1),(105,1),(120,1),(122,1),(159,1),(165,1),(214,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(35,1),(87,1),(88,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(31,1),(39,1),(82,1),(89,1),(91,1),(93,1),(137,1),(149,1),(150,1),(190,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(35,1),(87,1),(184,1),(189,1)}
         4:{2,3,4,6,7}:{(12,1),(13,1),(21,1),(47,1),(49,1),(66,1),(101,1),(119,1),(160,1),(162,1),(165,1),(231,1)}
         5:{1,3,5,6,7}:{(1,1),(16,1),(17,1),(19,1),(60,1),(61,1),(116,1),(117,1)}
         6:{2,4,6,7}:{(1,1),(15,1),(17,1),(18,1),(20,1)}
         7:{2,3,5,6}:{(3,1),(19,1),(20,1),(58,1),(113,1),(120,1)}
         8:{2,4,6,7}:{(2,1),(21,1),(22,1),(64,1),(66,1),(165,1),(176,1),(177,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(19,1),(22,1),(23,1),(67,1),(116,1),(164,1),(209,1)}
        10:{2,4,5,7}:{(3,1),(20,1),(23,1),(24,1),(105,1),(158,1)}
        11:{2,3,5,6,7}:{(25,1),(26,1),(27,1),(71,1),(127,1),(128,1)}
        12:{1,3,4,6,7}:{(4,1),(28,1),(29,1),(31,1),(75,1),(82,1),(129,1),(131,1),(133,1),(137,1),(186,1),(187,1),(190,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(71,1),(127,1),(147,1),(189,1)}
        14:{1,2,4,6,7}:{(8,1),(28,1),(31,1),(32,1),(81,1),(82,1),(89,1),(129,1),(146,1),(183,1),(190,1),(191,1),(192,1),(196,1),(220,1)}
        15:{2,4,5,7}:{(6,1),(33,1),(34,1),(35,1),(87,1),(196,1)}
        16:{2,5,6,7}:{(5,1),(36,1),(38,1),(87,1),(146,1)}
        17:{1,4,6,7}:{(5,1),(6,1),(34,1),(36,1),(39,1)}
        18:{3,4,6,7}:{(6,1),(35,1),(40,1)}
        19:{1,3,5,6}:{(7,1),(9,1),(38,1),(39,1),(91,1),(143,1),(149,1)}
        20:{2,4,6}:{(7,1),(10,1),(39,1),(40,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(41,1),(91,1),(138,1),(183,1),(199,1)}
        22:{2,5,7}:{(8,1),(9,1),(38,1),(189,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(39,1),(42,1),(82,1),(136,1)}
        24:{3,4,5,7}:{(10,1),(35,1),(40,1),(133,1),(184,1)}
        25:{1,3,5,6,7}:{(11,1),(45,1),(46,1),(48,1),(99,1),(100,1),(156,1),(157,1)}
        26:{2,4,6,7}:{(11,1),(44,1),(46,1),(47,1),(49,1)}
        27:{2,3,5,6}:{(13,1),(48,1),(49,1),(97,1),(153,1),(160,1)}
        28:{2,4,6,7}:{(12,1),(50,1),(51,1),(103,1),(105,1),(165,1),(207,1),(208,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(52,1),(106,1),(156,1),(164,1),(209,1)}
        30:{2,4,5,7}:{(13,1),(49,1),(52,1),(53,1),(66,1),(118,1)}
        31:{1,3,6,7}:{(14,1),(21,1),(50,1),(55,1),(109,1),(166,1),(211,1),(214,1),(231,1)}
        32:{1,2,5,7}:{(14,1),(22,1),(51,1),(54,1),(55,1),(116,1),(156,1),(173,1),(204,1),(209,1)}
        33:{2,4,5,6}:{(15,1),(20,1),(57,1),(58,1),(113,1),(158,1),(213,1)}
        34:{1,4,5,7}:{(15,1),(17,1),(57,1),(59,1),(60,1),(116,1),(172,1)}
        35:{3,5,7}:{(15,1),(18,1),(58,1),(214,1)}
        36:{2,4,6,7}:{(16,1),(17,1),(59,1),(61,1),(64,1)}
        37:{1,3,4,6,7}:{(17,1),(18,1),(60,1),(61,1),(62,1),(65,1),(114,1),(117,1),(172,1),(214,1)}
        38:{2,5,6}:{(19,1),(22,1),(64,1),(176,1)}
        39:{1,4,6}:{(19,1),(20,1),(23,1),(64,1)}
        40:{3,4,6}:{(20,1),(24,1),(58,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(55,1),(63,1),(66,1),(67,1),(204,1),(231,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(64,1),(66,1),(67,1),(118,1)}
        43:{1,3,4,5,7}:{(23,1),(24,1),(60,1),(65,1),(67,1),(68,1),(110,1),(114,1),(123,1),(164,1),(169,1),(172,1),(212,1),(214,1),(235,1)}
        44:{2,4,5,7}:{(26,1),(69,1),(70,1),(71,1),(127,1),(220,1)}
        45:{2,5,6,7}:{(25,1),(72,1),(74,1),(127,1),(183,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(70,1),(72,1),(75,1)}
        47:{3,4,6,7}:{(26,1),(71,1),(76,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(74,1),(75,1),(131,1),(180,1),(186,1)}
        49:{2,4,6}:{(27,1),(30,1),(75,1),(76,1)}
        50:{2,3,6,7}:{(28,1),(31,1),(77,1),(131,1),(138,1),(146,1),(223,1)}
        51:{2,5,7}:{(28,1),(29,1),(74,1),(189,1)}
        52:{1,4,5,7}:{(29,1),(30,1),(75,1),(78,1),(82,1),(136,1)}
        53:{3,4,5,7}:{(30,1),(71,1),(76,1),(93,1),(147,1)}
        54:{1,2,5,6}:{(32,1),(38,1),(74,1),(80,1),(81,1),(143,1),(180,1),(189,1),(191,1),(195,1),(219,1),(224,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(41,1),(77,1),(80,1),(82,1)}
        56:{1,2,4,5,7}:{(32,1),(42,1),(78,1),(81,1),(82,1),(83,1),(95,1),(135,1),(136,1),(139,1),(151,1),(188,1),(189,1),(192,1),(196,1),(220,1),(224,1),(226,1),(237,1),(240,1)}
        57:{1,4,5,6}:{(33,1),(34,1),(39,1),(84,1),(85,1),(136,1),(143,1),(194,1)}
        58:{3,5,6}:{(33,1),(35,1),(40,1),(184,1),(227,1)}
        59:{2,4,5,7}:{(34,1),(36,1),(84,1),(86,1),(87,1),(144,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(37,1),(85,1),(86,1),(87,1)}
        61:{3,6,7}:{(36,1),(86,1),(91,1)}
        62:{2,4,6,7}:{(37,1),(87,1),(88,1),(89,1),(92,1),(144,1),(146,1),(196,1)}
        63:{2,3,5,6}:{(38,1),(41,1),(80,1),(90,1),(91,1),(138,1),(147,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(38,1),(39,1),(42,1),(91,1)}
        65:{1,3,4,6}:{(39,1),(40,1),(43,1),(85,1),(91,1),(92,1),(141,1),(149,1),(194,1),(227,1)}
        66:{2,4,7}:{(41,1),(82,1),(90,1),(93,1)}
        67:{3,5,7}:{(42,1),(91,1),(93,1),(147,1)}
        68:{2,4,5,7}:{(43,1),(87,1),(92,1),(94,1),(95,1),(139,1),(144,1),(151,1),(189,1),(193,1),(196,1),(226,1)}
        69:{2,4,5,6}:{(44,1),(49,1),(96,1),(97,1),(118,1),(153,1),(230,1)}
        70:{1,4,5,7}:{(44,1),(46,1),(96,1),(98,1),(99,1),(156,1),(203,1)}
        71:{3,5,7}:{(44,1),(47,1),(97,1),(231,1)}
        72:{2,4,6,7}:{(45,1),(46,1),(98,1),(100,1),(103,1)}
        73:{1,3,4,6,7}:{(46,1),(47,1),(99,1),(100,1),(101,1),(104,1),(154,1),(157,1),(203,1),(231,1)}
        74:{2,5,6}:{(48,1),(51,1),(103,1),(207,1)}
        75:{1,4,6}:{(48,1),(49,1),(52,1),(103,1)}
        76:{3,4,6}:{(49,1),(53,1),(97,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(55,1),(102,1),(105,1),(106,1),(173,1),(214,1)}
        78:{2,4,5,7}:{(51,1),(52,1),(103,1),(105,1),(106,1),(158,1)}
        79:{1,3,4,5,7}:{(52,1),(53,1),(99,1),(104,1),(106,1),(107,1),(110,1),(154,1),(163,1),(164,1),(200,1),(203,1),(229,1),(231,1),(242,1)}
        80:{1,3,5,6}:{(54,1),(55,1),(63,1),(102,1),(108,1),(109,1),(164,1),(166,1),(209,1),(234,1)}
        81:{1,2,4,6}:{(54,1),(56,1),(64,1),(103,1),(108,1),(109,1),(121,1),(161,1),(165,1),(176,1),(207,1),(213,1),(230,1)}
        82:{1,4,7}:{(55,1),(66,1),(105,1),(108,1)}
        83:{1,3,5,7}:{(56,1),(67,1),(106,1),(109,1),(110,1),(111,1),(164,1),(211,1),(214,1),(231,1),(234,1),(235,1),(242,1)}
        84:{2,4,5,6}:{(57,1),(59,1),(64,1),(112,1),(113,1),(118,1),(170,1)}
        85:{1,3,5,6}:{(57,1),(58,1),(60,1),(65,1),(112,1),(113,1),(164,1)}
        86:{3,5,7}:{(59,1),(61,1),(112,1),(114,1)}
        87:{2,5,7}:{(60,1),(62,1),(113,1),(116,1)}
        88:{2,3,6,7}:{(61,1),(62,1),(115,1),(117,1),(120,1),(214,1)}
        89:{1,4,6,7}:{(62,1),(116,1),(117,1),(121,1),(172,1)}
        90:{2,4,6}:{(63,1),(66,1),(108,1),(118,1),(119,1),(243,1)}
        91:{3,6}:{(64,1),(67,1)}
        92:{2,4,6}:{(65,1),(68,1),(113,1),(120,1),(121,1),(176,1)}
        93:{3,4,7}:{(66,1),(67,1),(119,1),(231,1)}
        94:{2,3,5,7}:{(67,1),(68,1),(120,1),(122,1),(123,1),(174,1),(214,1),(235,1)}
        95:{1,4,5,7}:{(68,1),(116,1),(121,1),(123,1),(167,1),(172,1),(209,1),(212,1)}
        96:{1,4,5,6}:{(69,1),(70,1),(75,1),(124,1),(125,1),(136,1),(180,1),(218,1)}
        97:{3,5,6}:{(69,1),(71,1),(76,1),(147,1),(238,1)}
        98:{2,4,5,7}:{(70,1),(72,1),(124,1),(126,1),(127,1),(181,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(125,1),(126,1),(127,1)}
       100:{3,6,7}:{(72,1),(126,1),(131,1)}
       101:{2,4,6,7}:{(73,1),(127,1),(128,1),(129,1),(132,1),(181,1),(183,1),(220,1)}
       102:{2,3,5,6}:{(74,1),(77,1),(80,1),(130,1),(131,1),(138,1),(184,1),(189,1),(195,1),(227,1),(228,1)}
       103:{2,4,6}:{(74,1),(75,1),(78,1),(131,1)}
       104:{1,3,4,6}:{(75,1),(76,1),(79,1),(125,1),(131,1),(132,1),(178,1),(186,1),(218,1),(238,1)}
       105:{2,4,7}:{(77,1),(82,1),(130,1),(133,1)}
       106:{3,5,7}:{(78,1),(131,1),(133,1),(184,1)}
       107:{2,4,5,7}:{(79,1),(127,1),(132,1),(134,1),(135,1),(139,1),(181,1),(188,1),(189,1),(217,1),(220,1),(237,1)}
       108:{1,4,6}:{(80,1),(82,1),(90,1),(130,1),(136,1),(240,1)}
       109:{1,3,6}:{(81,1),(83,1),(91,1),(131,1),(138,1),(227,1),(238,1)}
       110:{1,3,4,7}:{(82,1),(83,1),(93,1),(133,1),(137,1),(139,1),(240,1),(241,1),(244,1)}
       111:{2,3,5,7}:{(83,1),(138,1),(139,1),(140,1),(151,1),(188,1),(189,1),(199,1),(223,1),(228,1),(239,1)}
       112:{3,5,6}:{(84,1),(86,1),(91,1),(141,1),(147,1)}
       113:{2,5,6}:{(85,1),(87,1),(92,1),(143,1),(189,1)}
       114:{3,4,7}:{(86,1),(141,1),(144,1)}
       115:{2,3,5,7}:{(86,1),(87,1),(88,1),(142,1),(144,1),(145,1)}
       116:{1,5,7}:{(87,1),(89,1),(143,1)}
       117:{1,3,6,7}:{(88,1),(89,1),(145,1),(146,1),(149,1)}
       118:{2,4,5}:{(90,1),(136,1),(147,1),(189,1)}
       119:{3,4,6}:{(90,1),(91,1),(93,1),(147,1),(238,1),(244,1)}
       120:{2,3,6}:{(91,1),(92,1),(94,1),(149,1),(227,1)}
       121:{1,4,6}:{(92,1),(95,1),(143,1),(149,1)}
       122:{2,3,4,7}:{(93,1),(94,1),(139,1),(144,1),(148,1),(150,1),(223,1),(241,1)}
       123:{1,3,5,7}:{(94,1),(95,1),(149,1),(150,1),(151,1),(197,1)}
       124:{2,4,5,6}:{(96,1),(98,1),(103,1),(152,1),(153,1),(158,1),(201,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(104,1),(152,1),(153,1),(164,1)}
       126:{3,5,7}:{(98,1),(100,1),(152,1),(154,1)}
       127:{2,5,7}:{(99,1),(101,1),(153,1),(156,1)}
       128:{2,3,6,7}:{(100,1),(101,1),(155,1),(157,1),(160,1),(231,1)}
       129:{1,4,6,7}:{(101,1),(156,1),(157,1),(161,1),(203,1)}
       130:{2,4,6}:{(102,1),(105,1),(108,1),(158,1),(159,1),(236,1)}
       131:{3,6}:{(103,1),(106,1)}
       132:{2,4,6}:{(104,1),(107,1),(153,1),(160,1),(161,1),(207,1)}
       133:{3,4,7}:{(105,1),(106,1),(159,1),(214,1)}
       134:{2,3,5,7}:{(106,1),(107,1),(160,1),(162,1),(163,1),(205,1),(231,1),(242,1)}
       135:{1,4,5,7}:{(107,1),(156,1),(161,1),(163,1),(167,1),(203,1),(209,1),(229,1)}
       136:{1,4,5}:{(108,1),(118,1),(158,1),(164,1),(209,1)}
       137:{1,3,4,6}:{(108,1),(109,1),(110,1),(119,1),(159,1),(164,1),(165,1)}
       138:{2,3,6}:{(109,1),(111,1),(165,1),(166,1),(176,1),(207,1)}
       139:{2,4,7}:{(110,1),(111,1),(165,1),(167,1),(236,1),(243,1)}
       140:{1,3,5,7}:{(111,1),(166,1),(167,1),(168,1),(209,1),(211,1),(234,1)}
       141:{3,4,6}:{(112,1),(114,1),(169,1),(170,1)}
       142:{2,3,5,6}:{(112,1),(113,1),(115,1),(120,1),(170,1),(171,1),(174,1)}
       143:{1,5,6}:{(113,1),(116,1),(121,1),(209,1)}
       144:{2,4,7}:{(114,1),(115,1),(170,1),(172,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(171,1),(172,1),(173,1),(214,1)}
       146:{2,6,7}:{(117,1),(173,1),(176,1)}
       147:{3,5}:{(118,1),(119,1)}
       148:{2,3,4,6}:{(119,1),(120,1),(122,1),(165,1),(170,1),(174,1),(175,1),(233,1),(243,1)}
       149:{1,3,6}:{(120,1),(121,1),(123,1),(176,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(167,1),(172,1),(175,1),(177,1),(211,1),(214,1)}
       151:{2,5,7}:{(123,1),(176,1),(177,1),(215,1)}
       152:{3,5,6}:{(124,1),(126,1),(131,1),(178,1),(184,1)}
       153:{2,5,6}:{(125,1),(127,1),(132,1),(180,1),(189,1)}
       154:{3,4,7}:{(126,1),(178,1),(181,1)}
       155:{2,3,5,7}:{(126,1),(127,1),(128,1),(179,1),(181,1),(182,1)}
       156:{1,5,7}:{(127,1),(129,1),(180,1)}
       157:{1,3,6,7}:{(128,1),(129,1),(182,1),(183,1),(186,1)}
       158:{2,4,5}:{(130,1),(136,1),(184,1),(189,1)}
       159:{3,4,6}:{(130,1),(131,1),(133,1),(184,1),(227,1),(241,1)}
       160:{2,3,6}:{(131,1),(132,1),(134,1),(186,1),(238,1)}
       161:{1,4,6}:{(132,1),(135,1),(180,1),(186,1)}
       162:{2,3,4,7}:{(133,1),(134,1),(139,1),(181,1),(185,1),(187,1),(199,1),(244,1)}
       163:{1,3,5,7}:{(134,1),(135,1),(186,1),(187,1),(188,1),(221,1)}
       164:{1,3,5}:{(136,1),(137,1),(147,1),(184,1),(189,1)}
       165:{2,4,6}:{(137,1),(138,1),(139,1),(189,1),(190,1)}
       166:{1,3,6}:{(138,1),(140,1),(190,1),(191,1)}
       167:{1,4,7}:{(139,1),(140,1),(190,1),(240,1)}
       168:{1,2,5,7}:{(140,1),(151,1),(188,1),(191,1),(192,1),(224,1)}
       169:{3,4,5}:{(141,1),(147,1),(193,1),(244,1)}
       170:{2,4,6}:{(141,1),(142,1),(144,1),(193,1),(194,1)}
       171:{1,3,5,6}:{(142,1),(143,1),(145,1),(149,1),(194,1),(195,1),(197,1),(227,1)}
       172:{1,4,7}:{(144,1),(145,1),(194,1),(196,1)}
       173:{2,5,7}:{(145,1),(146,1),(195,1),(196,1)}
       174:{2,3,5}:{(147,1),(148,1),(189,1),(193,1),(197,1)}
       175:{1,3,4,6}:{(148,1),(149,1),(150,1),(190,1),(194,1),(197,1),(198,1),(225,1),(227,1),(240,1),(241,1)}
       176:{2,6}:{(149,1),(151,1)}
       177:{2,4,7}:{(150,1),(151,1),(198,1),(199,1)}
       178:{3,4,6}:{(152,1),(154,1),(200,1),(201,1)}
       179:{2,3,5,6}:{(152,1),(153,1),(155,1),(160,1),(201,1),(202,1),(205,1)}
       180:{1,5,6}:{(153,1),(156,1),(161,1),(209,1)}
       181:{2,4,7}:{(154,1),(155,1),(201,1),(203,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(202,1),(203,1),(204,1),(231,1)}
       183:{2,6,7}:{(157,1),(204,1),(207,1)}
       184:{3,5}:{(158,1),(159,1)}
       185:{2,3,4,6}:{(159,1),(160,1),(162,1),(165,1),(201,1),(205,1),(206,1),(216,1),(236,1)}
       186:{1,3,6}:{(160,1),(161,1),(163,1),(207,1)}
       187:{1,3,4,7}:{(162,1),(163,1),(167,1),(203,1),(206,1),(208,1),(211,1),(231,1)}
       188:{2,5,7}:{(163,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(164,1),(165,1),(209,1)}
       190:{1,4,6}:{(165,1),(166,1),(167,1),(209,1)}
       191:{1,2,6}:{(166,1),(168,1),(176,1),(207,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(177,1),(208,1),(210,1),(211,1)}
       193:{2,4,5}:{(169,1),(170,1),(174,1),(212,1),(243,1)}
       194:{1,4,6}:{(170,1),(171,1),(172,1),(212,1),(213,1)}
       195:{2,5,6}:{(171,1),(173,1),(176,1),(213,1),(215,1)}
       196:{2,4,7}:{(172,1),(173,1),(213,1),(214,1)}
       197:{1,3,5}:{(174,1),(175,1),(209,1),(212,1),(215,1),(235,1)}
       198:{2,4,6}:{(175,1),(176,1),(177,1),(215,1),(216,1),(236,1)}
       199:{2,3,7}:{(177,1),(211,1),(214,1),(216,1)}
       200:{3,4,5}:{(178,1),(184,1),(217,1),(241,1)}
       201:{2,4,6}:{(178,1),(179,1),(181,1),(217,1),(218,1)}
       202:{1,3,5,6}:{(179,1),(180,1),(182,1),(186,1),(218,1),(219,1),(221,1),(238,1)}
       203:{1,4,7}:{(181,1),(182,1),(218,1),(220,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(198,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(199,1),(223,1),(225,1)}
       212:{1,4,5}:{(193,1),(194,1),(197,1),(226,1),(240,1)}
       213:{2,4,6}:{(194,1),(195,1),(196,1),(226,1),(227,1)}
       214:{3,7}:{(196,1),(227,1)}
       215:{2,5}:{(197,1),(198,1)}
       216:{2,3,6}:{(198,1),(199,1),(225,1),(227,1),(228,1)}
       217:{2,4,5}:{(200,1),(201,1),(205,1),(229,1),(236,1)}
       218:{1,4,6}:{(201,1),(202,1),(203,1),(229,1),(230,1)}
       219:{2,5,6}:{(202,1),(204,1),(207,1),(230,1),(232,1)}
       220:{2,4,7}:{(203,1),(204,1),(230,1),(231,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(229,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(231,1),(233,1)}
       224:{1,2,5}:{(209,1),(210,1),(215,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(216,1),(233,1),(234,1)}
       226:{2,4,5}:{(212,1),(213,1),(215,1),(235,1),(236,1)}
       227:{3,6}:{(213,1),(214,1),(235,1)}
       228:{2,3,5}:{(215,1),(216,1),(234,1),(235,1),(236,1)}
       229:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       230:{2,4,6}:{(218,1),(219,1),(220,1),(237,1),(238,1)}
       231:{3,7}:{(220,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(228,1),(239,1),(240,1)}
       235:{3,5}:{(226,1),(227,1),(241,1)}
       236:{2,4}:{(228,1),(240,1),(241,1)}
       237:{2,4,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(231,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(236,1),(243,1)}
       241:{3,4}:{(235,1),(236,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2408 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(48,1),(114,1),(142,1),(192,1),(195,1),(205,1),(226,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(33,1),(36,1),(252,1),(253,1),(259,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(33,1),(44,1),(91,1),(104,1),(167,1),(182,1),(184,1),(249,1),(270,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(77,1),(154,1),(235,1),(248,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(19,1),(53,1),(69,1),(137,1),(140,1),(197,1),(205,1),(283,1)}
         5:{1,2,4,7}:{(1,1),(15,1),(17,1),(300,1)}
         6:{1,2,3,6}:{(1,1),(17,1),(58,1),(294,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(140,1),(313,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(21,1),(69,1),(70,1),(140,1),(228,1),(311,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(23,1),(58,1),(127,1),(141,1),(291,1)}
        10:{2,3,4,6,7}:{(3,1),(22,1),(24,1),(66,1),(112,1),(195,1),(224,1),(226,1),(278,1),(290,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(277,1),(289,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(33,1),(81,1),(91,1),(155,1),(167,1),(239,1),(241,1),(249,1),(324,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(40,1),(103,1),(178,1),(248,1)}
        14:{1,2,3,6,7}:{(6,1),(31,1),(32,1),(89,1),(164,1),(250,1),(253,1),(333,1),(334,1),(388,1)}
        15:{1,3,4,7}:{(5,1),(7,1),(26,1),(33,1),(34,1),(167,1),(338,1)}
        16:{1,2,4,5,7}:{(5,1),(8,1),(27,1),(33,1),(35,1),(36,1),(91,1),(92,1),(167,1),(249,1),(252,1),(256,1),(336,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(34,1),(36,1)}
        18:{1,2,3,5,6}:{(6,1),(32,1),(36,1),(37,1),(86,1),(90,1),(94,1),(164,1),(171,1),(258,1),(259,1),(334,1),(337,1),(387,1),(390,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(40,1),(41,1),(272,1),(348,1)}
        20:{2,3,4,6}:{(7,1),(34,1),(40,1),(41,1),(103,1)}
        21:{2,4,6}:{(8,1),(9,1),(40,1),(43,1)}
        22:{1,3,4,6,7}:{(9,1),(10,1),(42,1),(44,1),(89,1),(100,1),(167,1),(180,1),(182,1),(269,1),(270,1),(330,1)}
        23:{1,3,5,6}:{(9,1),(11,1),(43,1),(44,1),(45,1),(106,1),(329,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(44,1),(46,1),(318,1),(328,1)}
        25:{2,4,5,6}:{(11,1),(45,1),(46,1),(47,1),(154,1)}
        26:{2,3,4,7}:{(15,1),(48,1),(49,1),(195,1),(361,1)}
        27:{2,4,5,7}:{(12,1),(48,1),(50,1),(114,1),(115,1),(195,1),(285,1),(359,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(52,1),(58,1),(127,1),(196,1),(291,1)}
        29:{2,3,4,6,7}:{(13,1),(51,1),(53,1),(67,1),(111,1),(140,1),(221,1),(281,1),(283,1),(290,1)}
        30:{2,3,5,6}:{(13,1),(52,1),(53,1),(54,1),(220,1),(289,1)}
        31:{1,2,4,6,7}:{(14,1),(17,1),(55,1),(56,1),(57,1),(123,1),(209,1),(290,1),(294,1),(367,1)}
        32:{1,2,3,5,7}:{(14,1),(18,1),(56,1),(57,1),(124,1),(126,1),(213,1),(299,1),(368,1),(404,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(19,1),(48,1),(58,1),(59,1),(298,1),(368,1)}
        34:{1,3,4,6}:{(15,1),(17,1),(20,1),(49,1),(58,1),(59,1),(127,1)}
        35:{1,2,4,6}:{(16,1),(21,1),(50,1),(58,1),(61,1),(127,1),(291,1),(294,1)}
        36:{1,2,5}:{(17,1),(59,1)}
        37:{1,2,4,6}:{(18,1),(57,1),(62,1),(63,1),(127,1),(211,1),(300,1),(405,1)}
        38:{2,3,4,6,7}:{(20,1),(55,1),(64,1),(67,1),(125,1),(136,1),(140,1),(207,1),(221,1),(290,1),(402,1),(403,1),(423,1)}
        39:{2,3,5,6,7}:{(24,1),(65,1),(66,1),(134,1),(218,1),(224,1)}
        40:{2,3,6}:{(19,1),(21,1),(58,1)}
        41:{2,3,5}:{(20,1),(59,1),(69,1)}
        42:{2,4,6,7}:{(21,1),(22,1),(67,1),(70,1),(140,1),(310,1),(311,1)}
        43:{2,5,6}:{(21,1),(23,1),(70,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(24,1),(70,1),(72,1),(143,1),(362,1)}
        45:{1,4,5,6}:{(23,1),(25,1),(71,1),(72,1),(127,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(66,1),(72,1),(74,1),(195,1)}
        47:{3,4,5,6}:{(25,1),(74,1),(196,1),(277,1)}
        48:{2,3,5,7}:{(26,1),(27,1),(33,1),(77,1),(78,1),(326,1),(385,1)}
        49:{2,3,4,6}:{(26,1),(34,1),(77,1),(78,1),(154,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(80,1)}
        51:{1,3,4,6,7}:{(28,1),(29,1),(79,1),(81,1),(89,1),(151,1),(167,1),(237,1),(239,1),(323,1),(324,1),(330,1)}
        52:{1,3,5,6}:{(28,1),(30,1),(80,1),(81,1),(82,1),(157,1),(329,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(81,1),(83,1),(264,1),(328,1)}
        54:{2,4,5,6}:{(30,1),(82,1),(83,1),(84,1),(103,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(38,1),(75,1),(85,1),(88,1),(89,1),(161,1),(164,1),(166,1),(167,1),(251,1),(330,1),(388,1),(389,1),(417,1)}
        56:{1,2,5,7}:{(31,1),(36,1),(85,1),(86,1),(328,1),(390,1)}
        57:{1,2,4,7}:{(32,1),(37,1),(88,1),(167,1),(254,1),(417,1)}
        58:{1,3,6}:{(33,1),(35,1),(40,1),(77,1)}
        59:{1,3,5}:{(34,1),(36,1),(41,1),(78,1),(91,1)}
        60:{1,2,4,6,7}:{(35,1),(42,1),(79,1),(89,1),(92,1),(167,1),(330,1),(333,1),(336,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(43,1),(80,1),(90,1),(92,1),(329,1)}
        62:{1,2,4,5}:{(36,1),(37,1),(91,1),(94,1),(169,1),(390,1),(418,1)}
        63:{1,3,4,6}:{(37,1),(88,1),(94,1),(95,1),(164,1),(337,1),(338,1)}
        64:{2,3,5,7}:{(38,1),(41,1),(85,1),(97,1),(98,1),(264,1),(328,1),(416,1)}
        65:{1,3,5,6,7}:{(39,1),(44,1),(99,1),(100,1),(180,1),(263,1),(269,1)}
        66:{2,4,6,7}:{(39,1),(46,1),(100,1),(101,1)}
        67:{2,3,6,7}:{(40,1),(42,1),(89,1),(102,1),(180,1),(348,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(43,1),(90,1),(102,1),(103,1),(106,1)}
        69:{2,4,5}:{(41,1),(91,1),(103,1),(104,1)}
        70:{2,5,7}:{(42,1),(43,1),(44,1)}
        71:{2,4,5,6}:{(43,1),(45,1),(103,1),(105,1),(106,1)}
        72:{1,4,5,7}:{(44,1),(45,1),(46,1),(100,1),(105,1),(167,1)}
        73:{1,3,4,5,6}:{(45,1),(47,1),(106,1),(107,1),(108,1),(168,1),(186,1),(246,1),(260,1),(340,1),(392,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(101,1),(239,1),(318,1)}
        75:{2,3,4,6,7}:{(49,1),(55,1),(109,1),(112,1),(125,1),(191,1),(195,1),(207,1),(278,1),(290,1),(374,1),(375,1),(409,1)}
        76:{2,3,5,6,7}:{(53,1),(110,1),(111,1),(189,1),(275,1),(281,1)}
        77:{2,3,6}:{(48,1),(50,1),(58,1)}
        78:{2,3,5}:{(49,1),(59,1),(114,1)}
        79:{2,4,6,7}:{(50,1),(51,1),(112,1),(115,1),(195,1),(358,1),(359,1)}
        80:{2,5,6}:{(50,1),(52,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(115,1),(117,1),(198,1),(362,1)}
        82:{1,4,5,6}:{(52,1),(54,1),(116,1),(117,1),(127,1)}
        83:{2,4,5,7}:{(53,1),(54,1),(111,1),(117,1),(119,1),(140,1)}
        84:{3,4,5,6}:{(54,1),(119,1),(141,1),(220,1)}
        85:{1,3,5,7}:{(55,1),(56,1),(59,1),(64,1),(109,1),(120,1),(121,1),(362,1),(406,1)}
        86:{1,2,5,6}:{(56,1),(120,1),(123,1),(289,1),(294,1)}
        87:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(121,1),(123,1),(124,1),(205,1)}
        88:{1,3,4,7}:{(57,1),(63,1),(124,1),(125,1),(368,1)}
        89:{1,3,6,7}:{(58,1),(60,1),(67,1),(112,1),(126,1),(368,1)}
        90:{1,3,5,6}:{(58,1),(59,1),(61,1),(68,1),(113,1),(126,1),(127,1)}
        91:{1,4,5}:{(59,1),(69,1),(114,1),(127,1)}
        92:{1,2,5,7}:{(60,1),(61,1),(70,1),(115,1),(126,1),(362,1)}
        93:{1,2,4,5,6}:{(61,1),(62,1),(71,1),(116,1),(123,1),(127,1),(129,1),(130,1),(146,1),(201,1),(202,1),(211,1),(230,1),(287,1),(289,1),(297,1),(363,1),(370,1),(398,1),(405,1)}
        94:{1,3,5}:{(62,1),(63,1),(131,1)}
        95:{2,3,4,6}:{(63,1),(125,1),(131,1),(132,1),(207,1),(211,1),(312,1),(313,1),(360,1),(361,1)}
        96:{2,4,5,6,7}:{(66,1),(133,1),(134,1),(218,1),(276,1),(371,1)}
        97:{2,3,5,6}:{(64,1),(120,1),(136,1),(207,1),(220,1),(289,1)}
        98:{2,4,5,7}:{(64,1),(69,1),(121,1),(136,1),(137,1),(140,1),(423,1),(424,1)}
        99:{2,5,6,7}:{(65,1),(70,1),(138,1),(310,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(72,1),(138,1)}
       101:{3,4,6,7}:{(66,1),(74,1),(134,1)}
       102:{2,3,5,7}:{(67,1),(68,1),(70,1),(126,1),(140,1),(143,1)}
       103:{2,4,6}:{(68,1),(69,1),(127,1),(140,1),(141,1)}
       104:{3,4,5}:{(69,1),(141,1)}
       105:{2,4,5,7}:{(70,1),(71,1),(72,1),(138,1),(140,1),(143,1)}
       106:{3,5,6}:{(71,1),(141,1),(143,1)}
       107:{1,3,4,5,7}:{(72,1),(73,1),(74,1),(139,1),(143,1),(145,1),(210,1),(229,1),(288,1),(301,1),(369,1),(407,1)}
       108:{2,4,5,6}:{(73,1),(144,1),(145,1),(146,1),(211,1),(230,1),(289,1)}
       109:{2,3,5,7}:{(75,1),(78,1),(85,1),(148,1),(149,1),(318,1),(328,1),(396,1)}
       110:{1,3,5,6,7}:{(76,1),(81,1),(150,1),(151,1),(237,1),(317,1),(323,1)}
       111:{2,4,6,7}:{(76,1),(83,1),(151,1),(152,1)}
       112:{2,3,6,7}:{(77,1),(79,1),(89,1),(153,1),(237,1),(385,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(80,1),(90,1),(153,1),(154,1),(157,1)}
       114:{2,4,5}:{(78,1),(91,1),(154,1),(155,1)}
       115:{2,5,7}:{(79,1),(80,1),(81,1)}
       116:{2,4,5,6}:{(80,1),(82,1),(154,1),(156,1),(157,1)}
       117:{1,4,5,7}:{(81,1),(82,1),(83,1),(151,1),(156,1),(167,1)}
       118:{1,3,4,5,6}:{(82,1),(84,1),(157,1),(158,1),(159,1),(168,1),(243,1),(246,1),(314,1),(377,1),(412,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(152,1),(182,1),(264,1)}
       120:{1,3,5,6}:{(85,1),(86,1),(97,1),(148,1),(161,1),(164,1),(251,1),(329,1)}
       121:{1,4,5,7}:{(85,1),(91,1),(98,1),(149,1),(161,1),(167,1),(417,1),(418,1)}
       122:{1,2,5,6,7}:{(86,1),(92,1),(99,1),(150,1),(160,1),(163,1),(263,1),(317,1),(328,1),(333,1),(342,1),(379,1),(386,1)}
       123:{1,2,4,6}:{(86,1),(87,1),(161,1),(164,1),(248,1)}
       124:{1,3,5,7}:{(87,1),(88,1),(94,1),(164,1),(165,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(165,1),(166,1),(254,1),(348,1),(385,1)}
       126:{1,3,5,7}:{(89,1),(90,1),(92,1),(102,1),(153,1),(167,1)}
       127:{1,4,6}:{(90,1),(91,1),(103,1),(154,1),(167,1)}
       128:{1,3,4,5}:{(91,1),(94,1),(104,1),(155,1),(168,1),(169,1),(418,1),(420,1),(426,1)}
       129:{1,2,4,5,7}:{(92,1),(93,1),(105,1),(156,1),(163,1),(167,1),(170,1),(187,1),(244,1),(245,1),(254,1),(273,1),(327,1),(328,1),(336,1),(386,1),(391,1),(411,1),(417,1)}
       130:{1,3,5,6}:{(93,1),(94,1),(106,1),(157,1),(164,1),(168,1),(170,1),(171,1),(337,1),(392,1),(412,1)}
       131:{2,3,5}:{(94,1),(95,1),(169,1),(172,1)}
       132:{1,3,4,6}:{(95,1),(166,1),(172,1),(173,1),(251,1),(255,1),(337,1),(338,1)}
       133:{1,4,5,6,7}:{(96,1),(100,1),(174,1),(175,1),(245,1),(263,1),(341,1)}
       134:{3,5,6,7}:{(96,1),(101,1),(318,1),(393,1)}
       135:{2,3,5,6,7}:{(97,1),(99,1),(102,1),(160,1),(177,1),(180,1),(250,1),(264,1),(328,1),(379,1),(413,1),(414,1)}
       136:{2,4,6}:{(97,1),(98,1),(161,1),(178,1)}
       137:{3,4,5,7}:{(98,1),(104,1),(178,1),(182,1),(264,1),(425,1),(426,1)}
       138:{2,4,6,7}:{(99,1),(100,1),(105,1),(180,1)}
       139:{1,3,4,6,7}:{(100,1),(101,1),(107,1),(175,1),(180,1),(181,1),(261,1),(269,1),(341,1),(393,1)}
       140:{2,4,7}:{(102,1),(103,1),(167,1),(182,1)}
       141:{3,4,6}:{(103,1),(104,1),(106,1),(182,1)}
       142:{2,3,4,5}:{(104,1),(169,1),(183,1),(184,1),(326,1),(420,1)}
       143:{3,5,7}:{(105,1),(106,1),(180,1),(182,1)}
       144:{2,3,5,6}:{(106,1),(108,1),(183,1),(185,1),(186,1),(392,1)}
       145:{2,4,5,7}:{(107,1),(108,1),(181,1),(185,1),(187,1),(254,1),(273,1),(328,1)}
       146:{1,4,5,6}:{(108,1),(186,1),(187,1),(255,1),(329,1)}
       147:{2,4,5,6,7}:{(111,1),(188,1),(189,1),(219,1),(275,1),(399,1)}
       148:{2,3,5,6}:{(109,1),(120,1),(191,1),(207,1),(277,1),(289,1)}
       149:{2,4,5,7}:{(109,1),(114,1),(121,1),(191,1),(192,1),(195,1),(409,1),(410,1)}
       150:{2,5,6,7}:{(110,1),(115,1),(193,1),(358,1)}
       151:{1,4,6,7}:{(110,1),(111,1),(117,1),(193,1)}
       152:{3,4,6,7}:{(111,1),(119,1),(189,1)}
       153:{2,3,5,7}:{(112,1),(113,1),(115,1),(126,1),(195,1),(198,1)}
       154:{2,4,6}:{(113,1),(114,1),(127,1),(195,1),(196,1)}
       155:{3,4,5}:{(114,1),(196,1)}
       156:{2,4,5,7}:{(115,1),(116,1),(117,1),(193,1),(195,1),(198,1)}
       157:{3,5,6}:{(116,1),(196,1),(198,1)}
       158:{1,3,4,5,7}:{(117,1),(118,1),(119,1),(194,1),(198,1),(200,1),(210,1),(286,1),(288,1),(349,1),(397,1),(421,1)}
       159:{2,4,5,6}:{(118,1),(199,1),(200,1),(201,1),(211,1),(287,1),(289,1)}
       160:{1,3,5,6,7}:{(120,1),(122,1),(126,1),(135,1),(190,1),(203,1),(206,1),(288,1),(293,1),(362,1),(404,1)}
       161:{1,4,6}:{(120,1),(121,1),(136,1),(191,1)}
       162:{1,3,4,5,7}:{(121,1),(124,1),(128,1),(137,1),(192,1),(204,1),(205,1),(210,1),(288,1)}
       163:{1,2,4,6,7}:{(122,1),(123,1),(129,1),(138,1),(193,1),(203,1),(206,1),(225,1),(282,1),(290,1),(310,1),(358,1),(371,1),(399,1)}
       164:{1,3,6}:{(123,1),(124,1),(207,1)}
       165:{2,3,5,7}:{(124,1),(125,1),(131,1),(205,1),(207,1),(208,1)}
       166:{1,3,4,7}:{(125,1),(132,1),(208,1),(209,1),(296,1),(368,1)}
       167:{1,4,7}:{(126,1),(127,1),(140,1),(195,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(130,1),(141,1),(196,1),(210,1),(211,1),(405,1),(408,1),(422,1)}
       169:{2,4,5}:{(128,1),(131,1),(211,1),(212,1)}
       170:{1,3,5,7}:{(129,1),(130,1),(143,1),(198,1),(206,1),(210,1),(213,1),(368,1),(407,1),(421,1)}
       171:{2,3,5,6}:{(130,1),(131,1),(207,1),(211,1),(213,1),(214,1),(230,1),(287,1),(289,1),(312,1),(360,1)}
       172:{1,3,5}:{(131,1),(132,1),(212,1),(215,1)}
       173:{1,2,4,6}:{(132,1),(209,1),(215,1),(216,1),(294,1),(300,1)}
       174:{2,4,5,6,7}:{(133,1),(138,1),(217,1),(218,1),(219,1),(303,1)}
       175:{1,3,5,6,7}:{(133,1),(134,1),(139,1),(217,1),(218,1),(288,1)}
       176:{2,4,5,6}:{(136,1),(202,1),(219,1),(220,1),(289,1)}
       177:{2,4,6,7}:{(135,1),(136,1),(140,1),(203,1),(219,1),(221,1),(423,1)}
       178:{3,4,6}:{(136,1),(137,1),(220,1)}
       179:{2,3,4,5,7}:{(137,1),(142,1),(205,1),(222,1),(223,1),(226,1),(305,1),(357,1),(423,1),(424,1)}
       180:{3,6,7}:{(138,1),(143,1)}
       181:{2,4,6,7}:{(139,1),(145,1),(218,1),(224,1),(225,1),(310,1)}
       182:{3,4,7}:{(140,1),(141,1),(143,1)}
       183:{2,3,4,6}:{(141,1),(142,1),(144,1),(211,1),(226,1),(227,1),(360,1),(408,1)}
       184:{1,3,4,5}:{(142,1),(212,1),(227,1),(228,1),(298,1)}
       185:{2,3,5,7}:{(143,1),(144,1),(145,1),(224,1),(226,1),(229,1),(407,1)}
       186:{1,3,5,6}:{(144,1),(146,1),(227,1),(229,1),(230,1)}
       187:{1,4,5,7}:{(145,1),(146,1),(225,1),(229,1),(296,1),(362,1)}
       188:{1,4,5,6,7}:{(147,1),(151,1),(231,1),(232,1),(245,1),(317,1),(378,1)}
       189:{3,5,6,7}:{(147,1),(152,1),(264,1),(413,1)}
       190:{2,3,5,6,7}:{(148,1),(150,1),(153,1),(160,1),(234,1),(237,1),(250,1),(318,1),(328,1),(342,1),(393,1),(394,1)}
       191:{2,4,6}:{(148,1),(149,1),(161,1),(235,1)}
       192:{3,4,5,7}:{(149,1),(155,1),(235,1),(239,1),(318,1),(419,1),(420,1)}
       193:{2,4,6,7}:{(150,1),(151,1),(156,1),(237,1)}
       194:{1,3,4,6,7}:{(151,1),(152,1),(158,1),(232,1),(237,1),(238,1),(315,1),(323,1),(378,1),(413,1)}
       195:{2,4,7}:{(153,1),(154,1),(167,1),(239,1)}
       196:{3,4,6}:{(154,1),(155,1),(157,1),(239,1)}
       197:{2,3,4,5}:{(155,1),(169,1),(240,1),(241,1),(272,1),(426,1)}
       198:{3,5,7}:{(156,1),(157,1),(237,1),(239,1)}
       199:{2,3,5,6}:{(157,1),(159,1),(240,1),(242,1),(243,1),(412,1)}
       200:{2,4,5,7}:{(158,1),(159,1),(238,1),(242,1),(244,1),(254,1),(327,1),(328,1)}
       201:{1,4,5,6}:{(159,1),(243,1),(244,1),(255,1),(329,1)}
       202:{1,4,5,6}:{(161,1),(176,1),(233,1),(245,1),(246,1),(329,1)}
       203:{1,4,6,7}:{(160,1),(161,1),(167,1),(177,1),(234,1),(245,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(162,1),(164,1),(178,1),(235,1),(246,1),(248,1)}
       205:{2,4,5,7}:{(162,1),(165,1),(169,1),(248,1),(249,1),(254,1),(328,1)}
       206:{1,3,6,7}:{(163,1),(164,1),(170,1),(180,1),(237,1),(250,1),(393,1),(413,1)}
       207:{2,3,6}:{(164,1),(165,1),(248,1),(251,1)}
       208:{1,3,5,7}:{(165,1),(166,1),(172,1),(249,1),(251,1),(252,1)}
       209:{1,2,4,7}:{(166,1),(173,1),(252,1),(253,1)}
       210:{1,3,4,7}:{(167,1),(168,1),(170,1),(182,1),(239,1),(254,1),(417,1),(419,1),(425,1)}
       211:{2,4,6}:{(168,1),(169,1),(171,1),(254,1),(255,1)}
       212:{1,4,5}:{(169,1),(172,1),(255,1)}
       213:{2,3,5,7}:{(170,1),(171,1),(250,1),(254,1),(257,1),(273,1),(327,1),(328,1),(348,1),(385,1)}
       214:{1,3,5,6}:{(171,1),(172,1),(251,1),(255,1),(257,1),(258,1),(329,1),(337,1)}
       215:{1,2,5}:{(172,1),(173,1)}
       216:{1,2,3,6}:{(173,1),(253,1),(259,1),(337,1)}
       217:{3,5,6,7}:{(174,1),(180,1),(261,1),(264,1)}
       218:{2,5,6,7}:{(175,1),(181,1),(263,1),(328,1)}
       219:{2,4,5,7}:{(176,1),(177,1),(245,1),(264,1),(328,1)}
       220:{3,5,6}:{(176,1),(178,1),(264,1)}
       221:{3,4,6,7}:{(177,1),(178,1),(180,1),(182,1),(264,1),(413,1),(425,1)}
       222:{2,3,4,6}:{(178,1),(179,1),(248,1),(265,1),(267,1),(383,1),(415,1)}
       223:{1,3,4,5,7}:{(179,1),(184,1),(249,1),(267,1),(268,1),(270,1),(332,1),(343,1),(417,1),(418,1),(419,1),(420,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(185,1),(269,1),(393,1)}
       225:{1,4,6,7}:{(181,1),(187,1),(263,1),(269,1)}
       226:{2,3,4,7}:{(182,1),(183,1),(185,1),(254,1),(270,1),(385,1),(419,1)}
       227:{1,3,4,6}:{(183,1),(184,1),(186,1),(255,1),(270,1),(271,1),(337,1)}
       228:{2,4,5}:{(184,1),(271,1),(272,1)}
       229:{1,3,5,7}:{(185,1),(186,1),(187,1),(269,1),(270,1),(273,1)}
       230:{2,5,6}:{(186,1),(271,1),(273,1)}
       231:{2,4,5,6,7}:{(188,1),(193,1),(274,1),(275,1),(276,1),(351,1)}
       232:{1,3,5,6,7}:{(188,1),(189,1),(194,1),(274,1),(275,1),(288,1)}
       233:{2,4,5,6}:{(191,1),(202,1),(276,1),(277,1),(289,1)}
       234:{2,4,6,7}:{(190,1),(191,1),(195,1),(203,1),(276,1),(278,1),(409,1)}
       235:{3,4,6}:{(191,1),(192,1),(277,1)}
       236:{2,3,4,5,7}:{(192,1),(197,1),(205,1),(279,1),(280,1),(283,1),(309,1),(353,1),(409,1),(410,1)}
       237:{3,6,7}:{(193,1),(198,1)}
       238:{2,4,6,7}:{(194,1),(200,1),(275,1),(281,1),(282,1),(358,1)}
       239:{3,4,7}:{(195,1),(196,1),(198,1)}
       240:{2,3,4,6}:{(196,1),(197,1),(199,1),(211,1),(283,1),(284,1),(312,1),(422,1)}
       241:{1,3,4,5}:{(197,1),(212,1),(284,1),(285,1),(298,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(200,1),(281,1),(283,1),(286,1),(421,1)}
       243:{1,3,5,6}:{(199,1),(201,1),(284,1),(286,1),(287,1)}
       244:{1,4,5,7}:{(200,1),(201,1),(282,1),(286,1),(296,1),(362,1)}
       245:{1,4,5,7}:{(202,1),(203,1),(219,1),(276,1),(288,1),(362,1)}
       246:{1,3,5,6}:{(202,1),(204,1),(220,1),(277,1),(288,1),(289,1)}
       247:{1,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(221,1),(278,1),(288,1),(290,1)}
       248:{2,4,6}:{(204,1),(205,1),(207,1),(289,1),(291,1)}
       249:{1,4,5,7}:{(205,1),(208,1),(212,1),(291,1),(296,1),(362,1)}
       250:{2,3,6,7}:{(206,1),(207,1),(213,1),(290,1),(293,1),(310,1),(358,1)}
       251:{1,3,6}:{(207,1),(208,1),(291,1),(294,1)}
       252:{1,2,5,7}:{(208,1),(209,1),(215,1),(294,1)}
       253:{1,2,3,7}:{(209,1),(216,1),(368,1)}
       254:{2,4,7}:{(210,1),(211,1),(213,1),(296,1)}
       255:{1,4,6}:{(211,1),(212,1),(214,1),(296,1)}
       256:{1,2,4,5}:{(212,1),(215,1),(228,1),(285,1),(297,1),(298,1),(300,1)}
       257:{1,3,5,7}:{(213,1),(214,1),(293,1),(296,1),(299,1),(362,1),(368,1)}
       258:{1,2,5,6}:{(214,1),(215,1),(230,1),(287,1),(294,1),(297,1),(299,1)}
       259:{1,2,3,5}:{(215,1),(216,1),(298,1),(300,1)}
       260:{3,4,5,6}:{(220,1),(301,1),(302,1),(422,1)}
       261:{3,4,6,7}:{(217,1),(301,1),(303,1)}
       262:{2,3,5,6,7}:{(217,1),(218,1),(224,1),(303,1),(304,1),(305,1)}
       263:{1,5,6,7}:{(218,1),(225,1),(362,1)}
       264:{3,5,7}:{(219,1),(220,1),(221,1)}
       265:{2,3,5,6}:{(220,1),(222,1),(289,1),(302,1),(305,1),(306,1)}
       266:{2,3,4,6,7}:{(221,1),(222,1),(224,1),(226,1),(290,1),(303,1),(305,1),(307,1),(402,1),(423,1)}
       267:{1,3,4,6}:{(222,1),(223,1),(291,1),(306,1),(308,1),(365,1),(405,1),(408,1)}
       268:{2,4,5,7}:{(223,1),(228,1),(308,1),(309,1),(311,1),(372,1),(409,1),(410,1)}
       269:{1,3,6,7}:{(224,1),(225,1),(229,1),(310,1)}
       270:{1,3,4,7}:{(226,1),(227,1),(229,1),(296,1),(311,1),(368,1)}
       271:{2,4,6}:{(227,1),(228,1),(230,1),(311,1),(312,1)}
       272:{2,3,5}:{(228,1),(298,1),(312,1),(313,1)}
       273:{2,5,7}:{(229,1),(230,1),(310,1),(311,1)}
       274:{3,5,6,7}:{(231,1),(237,1),(315,1),(318,1)}
       275:{2,5,6,7}:{(232,1),(238,1),(317,1),(328,1)}
       276:{2,4,5,7}:{(233,1),(234,1),(245,1),(318,1),(328,1)}
       277:{3,5,6}:{(233,1),(235,1),(318,1)}
       278:{3,4,6,7}:{(234,1),(235,1),(237,1),(239,1),(318,1),(393,1),(419,1)}
       279:{2,3,4,6}:{(235,1),(236,1),(248,1),(319,1),(321,1),(346,1),(395,1)}
       280:{1,3,4,5,7}:{(236,1),(241,1),(249,1),(321,1),(322,1),(324,1),(332,1),(380,1),(417,1),(418,1),(425,1),(426,1)}
       281:{2,3,6,7}:{(237,1),(238,1),(242,1),(323,1),(413,1)}
       282:{1,4,6,7}:{(238,1),(244,1),(317,1),(323,1)}
       283:{2,3,4,7}:{(239,1),(240,1),(242,1),(254,1),(324,1),(348,1),(425,1)}
       284:{1,3,4,6}:{(240,1),(241,1),(243,1),(255,1),(324,1),(325,1),(337,1)}
       285:{2,4,5}:{(241,1),(325,1),(326,1)}
       286:{1,3,5,7}:{(242,1),(243,1),(244,1),(323,1),(324,1),(327,1)}
       287:{2,5,6}:{(243,1),(325,1),(327,1)}
       288:{1,3,5,7}:{(245,1),(246,1),(247,1),(264,1),(318,1),(328,1)}
       289:{2,5,6}:{(246,1),(248,1),(328,1),(329,1)}
       290:{2,4,6,7}:{(247,1),(248,1),(250,1),(254,1),(328,1),(330,1)}
       291:{1,4,6}:{(248,1),(249,1),(251,1),(329,1)}
       292:{1,2,4,5,7}:{(249,1),(252,1),(256,1),(268,1),(322,1),(331,1),(332,1),(335,1),(336,1),(386,1),(390,1),(417,1),(418,1)}
       293:{1,3,6,7}:{(250,1),(251,1),(257,1),(330,1),(333,1)}
       294:{1,2,6}:{(251,1),(252,1)}
       295:{1,2,3,5,7}:{(252,1),(253,1),(259,1),(332,1),(334,1),(335,1),(390,1)}
       296:{1,4,7}:{(254,1),(255,1),(257,1)}
       297:{1,2,4,6}:{(255,1),(256,1),(258,1),(271,1),(325,1),(336,1),(337,1)}
       298:{1,3,5}:{(256,1),(272,1),(326,1),(337,1),(338,1)}
       299:{1,2,5,7}:{(257,1),(258,1),(273,1),(327,1),(333,1),(336,1)}
       300:{1,2,4}:{(259,1),(338,1)}
       301:{3,4,5,7}:{(260,1),(261,1),(264,1),(339,1),(425,1)}
       302:{2,4,5,6}:{(260,1),(265,1),(339,1),(340,1),(415,1)}
       303:{2,4,6,7}:{(261,1),(262,1),(339,1),(341,1)}
       304:{1,3,5,6,7}:{(262,1),(263,1),(269,1),(341,1),(342,1),(343,1),(393,1)}
       305:{2,3,5,7}:{(264,1),(265,1),(266,1),(328,1),(339,1),(343,1)}
       306:{1,3,5,6}:{(265,1),(267,1),(329,1),(340,1),(343,1),(344,1),(392,1)}
       307:{1,3,4,6,7}:{(266,1),(267,1),(269,1),(270,1),(330,1),(341,1),(343,1),(345,1),(388,1),(393,1),(417,1),(419,1)}
       308:{2,4,6}:{(267,1),(268,1),(344,1),(346,1)}
       309:{2,3,5,7}:{(268,1),(272,1),(332,1),(346,1),(347,1),(348,1),(396,1)}
       310:{2,6,7}:{(269,1),(273,1)}
       311:{2,4,7}:{(270,1),(271,1),(273,1),(348,1)}
       312:{2,3,6}:{(271,1),(272,1),(337,1),(348,1)}
       313:{2,3,4}:{(272,1),(338,1)}
       314:{3,4,5,6}:{(277,1),(349,1),(350,1),(408,1)}
       315:{3,4,6,7}:{(274,1),(349,1),(351,1)}
       316:{2,3,5,6,7}:{(274,1),(275,1),(281,1),(351,1),(352,1),(353,1)}
       317:{1,5,6,7}:{(275,1),(282,1),(362,1)}
       318:{3,5,7}:{(276,1),(277,1),(278,1)}
       319:{2,3,5,6}:{(277,1),(279,1),(289,1),(350,1),(353,1),(354,1)}
       320:{2,3,4,6,7}:{(278,1),(279,1),(281,1),(283,1),(290,1),(351,1),(353,1),(355,1),(374,1),(409,1)}
       321:{1,3,4,6}:{(279,1),(280,1),(291,1),(354,1),(356,1),(365,1),(405,1),(422,1)}
       322:{2,4,5,7}:{(280,1),(285,1),(356,1),(357,1),(359,1),(400,1),(423,1),(424,1)}
       323:{1,3,6,7}:{(281,1),(282,1),(286,1),(358,1)}
       324:{1,3,4,7}:{(283,1),(284,1),(286,1),(296,1),(359,1),(368,1)}
       325:{2,4,6}:{(284,1),(285,1),(287,1),(359,1),(360,1)}
       326:{2,3,5}:{(285,1),(298,1),(360,1),(361,1)}
       327:{2,5,7}:{(286,1),(287,1),(358,1),(359,1)}
       328:{2,5,7}:{(288,1),(289,1),(290,1),(362,1)}
       329:{1,5,6}:{(289,1),(291,1),(362,1)}
       330:{1,4,6,7}:{(290,1),(291,1),(293,1),(296,1),(362,1)}
       331:{1,2,4,6}:{(291,1),(292,1),(294,1),(308,1),(356,1),(363,1),(365,1),(405,1)}
       332:{1,3,5,7}:{(292,1),(298,1),(309,1),(357,1),(365,1),(366,1),(368,1),(406,1)}
       333:{1,2,6,7}:{(293,1),(294,1),(299,1),(310,1),(358,1)}
       334:{1,2,3,6}:{(294,1),(295,1),(365,1),(367,1)}
       335:{1,2,4,7}:{(295,1),(300,1),(366,1),(367,1)}
       336:{1,2,4,7}:{(296,1),(297,1),(299,1),(311,1),(359,1),(368,1)}
       337:{1,3,6}:{(297,1),(298,1),(312,1),(360,1),(368,1)}
       338:{1,3,4}:{(298,1),(300,1),(313,1),(361,1)}
       339:{2,4,5,7}:{(301,1),(302,1),(303,1),(305,1),(369,1),(423,1)}
       340:{1,4,5,6}:{(302,1),(306,1),(369,1),(370,1),(405,1)}
       341:{1,4,6,7}:{(303,1),(304,1),(369,1),(371,1)}
       342:{2,5,6,7}:{(304,1),(310,1),(371,1),(372,1)}
       343:{1,3,5,7}:{(305,1),(306,1),(307,1),(362,1),(369,1),(372,1),(407,1)}
       344:{2,5,6}:{(306,1),(308,1),(372,1)}
       345:{2,4,6,7}:{(307,1),(308,1),(310,1),(311,1),(372,1),(374,1),(409,1)}
       346:{2,3,6}:{(308,1),(309,1),(365,1)}
       347:{2,3,4,7}:{(309,1),(313,1),(366,1),(375,1),(409,1)}
       348:{2,3,7}:{(311,1),(312,1),(368,1)}
       349:{3,4,5,7}:{(314,1),(315,1),(318,1),(376,1),(419,1)}
       350:{2,4,5,6}:{(314,1),(319,1),(376,1),(377,1),(395,1)}
       351:{2,4,6,7}:{(315,1),(316,1),(376,1),(378,1)}
       352:{1,3,5,6,7}:{(316,1),(317,1),(323,1),(378,1),(379,1),(380,1),(413,1)}
       353:{2,3,5,7}:{(318,1),(319,1),(320,1),(328,1),(376,1),(380,1)}
       354:{1,3,5,6}:{(319,1),(321,1),(329,1),(377,1),(380,1),(381,1),(412,1)}
       355:{1,3,4,6,7}:{(320,1),(321,1),(323,1),(324,1),(330,1),(378,1),(380,1),(382,1),(388,1),(413,1),(417,1),(425,1)}
       356:{2,4,6}:{(321,1),(322,1),(381,1),(383,1)}
       357:{2,3,5,7}:{(322,1),(326,1),(332,1),(383,1),(384,1),(385,1),(416,1)}
       358:{2,6,7}:{(323,1),(327,1)}
       359:{2,4,7}:{(324,1),(325,1),(327,1),(385,1)}
       360:{2,3,6}:{(325,1),(326,1),(337,1),(385,1)}
       361:{2,3,4}:{(326,1),(338,1)}
       362:{1,5,7}:{(328,1),(329,1),(330,1)}
       363:{1,2,5,6}:{(329,1),(331,1),(344,1),(381,1),(386,1),(387,1),(390,1)}
       364:{1,2,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(345,1),(382,1),(386,1),(388,1),(417,1)}
       365:{1,3,6}:{(331,1),(332,1),(346,1),(383,1)}
       366:{1,3,4,7}:{(332,1),(335,1),(338,1),(347,1),(384,1),(389,1),(417,1)}
       367:{1,2,4,6}:{(334,1),(335,1),(389,1),(390,1)}
       368:{1,3,7}:{(336,1),(337,1),(348,1),(385,1)}
       369:{1,4,5,7}:{(339,1),(340,1),(341,1),(343,1),(391,1),(417,1)}
       370:{2,4,5,6}:{(340,1),(344,1),(391,1),(392,1),(395,1)}
       371:{2,4,6,7}:{(341,1),(342,1),(391,1),(393,1)}
       372:{2,5,7}:{(343,1),(344,1),(345,1)}
       373:{2,3,5,6}:{(344,1),(346,1),(387,1),(392,1),(394,1),(395,1),(396,1)}
       374:{2,3,6,7}:{(345,1),(346,1),(348,1),(388,1),(393,1),(394,1)}
       375:{2,3,4,6}:{(346,1),(347,1),(389,1),(395,1),(396,1)}
       376:{2,4,5,7}:{(349,1),(350,1),(351,1),(353,1),(397,1),(409,1)}
       377:{1,4,5,6}:{(350,1),(354,1),(397,1),(398,1),(405,1)}
       378:{1,4,6,7}:{(351,1),(352,1),(397,1),(399,1)}
       379:{2,5,6,7}:{(352,1),(358,1),(399,1),(400,1)}
       380:{1,3,5,7}:{(353,1),(354,1),(355,1),(362,1),(397,1),(400,1),(421,1)}
       381:{2,5,6}:{(354,1),(356,1),(400,1)}
       382:{2,4,6,7}:{(355,1),(356,1),(358,1),(359,1),(400,1),(402,1),(423,1)}
       383:{2,3,6}:{(356,1),(357,1),(365,1)}
       384:{2,3,4,7}:{(357,1),(361,1),(366,1),(403,1),(423,1)}
       385:{2,3,7}:{(359,1),(360,1),(368,1)}
       386:{1,2,5,7}:{(362,1),(363,1),(364,1),(372,1),(400,1),(404,1)}
       387:{1,3,5,6}:{(363,1),(365,1),(373,1),(401,1),(404,1),(405,1),(406,1)}
       388:{1,3,6,7}:{(364,1),(365,1),(368,1),(374,1),(402,1),(404,1)}
       389:{1,3,4,6}:{(365,1),(366,1),(367,1),(375,1),(403,1),(405,1),(406,1)}
       390:{1,2,5}:{(367,1),(406,1)}
       391:{2,4,5,7}:{(369,1),(370,1),(371,1),(372,1),(407,1),(409,1)}
       392:{3,5,6}:{(370,1),(407,1),(408,1)}
       393:{3,6,7}:{(371,1),(407,1)}
       394:{2,3,5,7}:{(372,1),(373,1),(374,1),(404,1),(407,1),(409,1)}
       395:{2,4,6}:{(373,1),(405,1),(408,1),(409,1),(410,1)}
       396:{2,3,5}:{(375,1),(406,1),(410,1)}
       397:{1,4,5,7}:{(376,1),(377,1),(378,1),(380,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(377,1),(381,1),(411,1),(412,1),(415,1)}
       399:{2,4,6,7}:{(378,1),(379,1),(411,1),(413,1)}
       400:{2,5,7}:{(380,1),(381,1),(382,1)}
       401:{2,3,5,6}:{(381,1),(383,1),(387,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(382,1),(383,1),(385,1),(388,1),(413,1),(414,1)}
       403:{2,3,4,6}:{(383,1),(384,1),(389,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(386,1),(387,1),(388,1),(394,1),(414,1),(417,1)}
       405:{1,4,6}:{(387,1),(395,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(389,1),(390,1),(396,1),(416,1),(418,1)}
       407:{3,5,7}:{(391,1),(392,1),(393,1),(419,1)}
       408:{3,4,6}:{(392,1),(395,1),(419,1),(420,1)}
       409:{2,4,7}:{(394,1),(395,1),(417,1),(419,1)}
       410:{2,4,5}:{(395,1),(396,1),(418,1),(420,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(399,1),(400,1),(421,1),(423,1)}
       412:{3,5,6}:{(398,1),(421,1),(422,1)}
       413:{3,6,7}:{(399,1),(421,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(421,1),(423,1)}
       415:{2,4,6}:{(401,1),(405,1),(422,1),(423,1),(424,1)}
       416:{2,3,5}:{(403,1),(406,1),(424,1)}
       417:{1,4,7}:{(404,1),(405,1),(409,1),(423,1)}
       418:{1,4,5}:{(405,1),(406,1),(410,1),(424,1)}
       419:{3,4,7}:{(407,1),(408,1),(409,1)}
       420:{3,4,5}:{(408,1),(410,1)}
       421:{3,5,7}:{(411,1),(412,1),(413,1),(425,1)}
       422:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       423:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       424:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       425:{3,4,7}:{(421,1),(422,1),(423,1)}
       426:{3,4,5}:{(422,1),(424,1)}

2409 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(103,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(35,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(82,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(80,1),(129,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(66,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(60,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(143,1),(166,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(60,1),(110,1),(115,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(108,1),(148,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(82,1),(122,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(46,1),(95,1)}
        15:{1,2,3,7}:{(5,1),(34,1),(87,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(85,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(35,1),(36,1),(37,1),(82,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(38,1),(39,1),(129,1),(160,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(40,1),(157,1),(172,1)}
        21:{2,3,4,6}:{(9,1),(33,1),(41,1),(42,1),(46,1),(95,1),(96,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(38,1),(43,1),(44,1),(89,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(39,1),(44,1),(45,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(46,1)}
        25:{2,4,6}:{(10,1),(11,1),(43,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(44,1),(47,1),(87,1),(134,1),(137,1)}
        27:{3,4,5,6}:{(48,1),(49,1),(115,1),(152,1)}
        28:{2,3,5,6}:{(14,1),(48,1),(51,1),(52,1)}
        29:{2,3,4}:{(17,1),(53,1)}
        30:{2,4,5}:{(13,1),(53,1),(54,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(51,1),(54,1),(55,1),(60,1),(110,1),(143,1)}
        32:{2,3,4,7}:{(14,1),(52,1),(55,1),(71,1),(120,1)}
        33:{1,3,4,6}:{(16,1),(17,1),(21,1),(50,1),(56,1),(57,1),(60,1),(110,1),(111,1)}
        34:{1,2,4,7}:{(15,1),(16,1),(56,1),(58,1)}
        35:{1,2,5}:{(16,1),(57,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(53,1),(60,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(54,1),(59,1),(60,1),(61,1),(110,1)}
        38:{1,4,5,6}:{(19,1),(22,1),(62,1),(63,1),(110,1),(150,1)}
        39:{2,4,5,7}:{(19,1),(20,1),(23,1),(63,1),(64,1),(148,1),(169,1)}
        40:{3,4,6,7}:{(20,1),(64,1),(65,1)}
        41:{2,3,4,7}:{(21,1),(56,1),(67,1),(71,1),(120,1)}
        42:{2,3,5}:{(21,1),(57,1),(66,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(26,1),(63,1),(69,1),(70,1),(116,1)}
        45:{2,3,6,7}:{(23,1),(64,1),(70,1)}
        46:{2,3,6}:{(24,1),(25,1),(60,1),(71,1)}
        47:{2,4,7}:{(25,1),(26,1),(69,1),(71,1)}
        48:{2,4,5,6}:{(27,1),(28,1),(72,1),(73,1),(95,1),(140,1)}
        49:{3,4,5,7}:{(27,1),(73,1),(74,1),(137,1),(164,1)}
        50:{2,3,4,6}:{(29,1),(33,1),(75,1),(76,1),(80,1),(129,1),(130,1)}
        51:{1,3,5,6}:{(28,1),(31,1),(72,1),(77,1),(78,1),(123,1)}
        52:{2,3,5,7}:{(28,1),(32,1),(73,1),(78,1),(79,1)}
        53:{2,3,5}:{(29,1),(30,1),(36,1),(80,1)}
        54:{2,4,6}:{(30,1),(31,1),(77,1),(80,1),(81,1)}
        55:{1,3,4,7}:{(31,1),(32,1),(78,1),(81,1),(87,1),(134,1),(157,1)}
        56:{1,3,4,7}:{(33,1),(34,1),(41,1),(75,1),(83,1),(87,1),(134,1)}
        57:{1,3,5}:{(33,1),(35,1),(42,1),(76,1),(82,1)}
        58:{1,2,5,7}:{(34,1),(35,1),(83,1),(85,1)}
        59:{1,2,5,6}:{(35,1),(37,1),(43,1),(77,1),(84,1),(85,1),(86,1)}
        60:{1,3,6}:{(36,1),(37,1),(46,1),(80,1),(87,1)}
        61:{1,2,4,7}:{(37,1),(47,1),(81,1),(86,1),(87,1),(134,1)}
        62:{2,4,5,6}:{(38,1),(43,1),(89,1),(90,1),(95,1),(140,1),(163,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(44,1),(90,1),(91,1),(134,1),(162,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(45,1),(91,1),(92,1)}
        65:{3,5,6,7}:{(40,1),(92,1),(93,1),(172,1)}
        66:{2,4,5}:{(42,1),(82,1),(88,1),(95,1)}
        67:{2,3,5,7}:{(41,1),(42,1),(83,1),(94,1),(96,1)}
        68:{2,3,5,6}:{(42,1),(43,1),(46,1),(84,1),(89,1),(95,1),(96,1),(97,1),(140,1)}
        69:{2,5,7}:{(43,1),(44,1),(47,1),(98,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(91,1),(98,1),(138,1)}
        71:{2,3,7}:{(46,1),(47,1),(87,1)}
        72:{1,4,5,6}:{(48,1),(51,1),(99,1),(100,1),(110,1),(150,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(52,1),(100,1),(101,1),(120,1),(155,1)}
        74:{3,4,6,7}:{(49,1),(101,1),(102,1)}
        75:{2,3,4,7}:{(50,1),(56,1),(104,1),(108,1),(148,1)}
        76:{2,3,5}:{(50,1),(57,1),(103,1)}
        77:{2,5,6}:{(51,1),(54,1),(106,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(55,1),(100,1),(106,1),(107,1),(144,1)}
        79:{2,3,6,7}:{(52,1),(101,1),(107,1)}
        80:{2,3,6}:{(53,1),(54,1),(60,1),(108,1)}
        81:{2,4,7}:{(54,1),(55,1),(106,1),(108,1)}
        82:{1,4,5}:{(57,1),(66,1),(103,1),(110,1)}
        83:{1,3,5,7}:{(56,1),(57,1),(58,1),(67,1),(104,1),(109,1),(111,1)}
        84:{1,3,5,6}:{(57,1),(59,1),(60,1),(68,1),(105,1),(110,1),(111,1),(112,1),(150,1)}
        85:{1,2,6}:{(58,1),(111,1)}
        86:{1,2,5,7}:{(59,1),(61,1),(69,1),(106,1),(112,1),(113,1)}
        87:{1,3,7}:{(60,1),(61,1),(71,1),(108,1)}
        88:{3,4,5}:{(66,1),(115,1)}
        89:{3,5,6}:{(62,1),(115,1),(116,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(69,1),(116,1),(117,1),(120,1),(155,1),(170,1)}
        91:{1,4,6,7}:{(63,1),(64,1),(70,1),(117,1),(118,1)}
        92:{2,5,6,7}:{(64,1),(65,1),(118,1),(169,1)}
        93:{4,5,6,7}:{(65,1),(174,1)}
        94:{2,4,5,7}:{(66,1),(67,1),(109,1),(114,1),(119,1),(120,1),(155,1)}
        95:{2,4,6}:{(66,1),(68,1),(110,1),(115,1),(120,1)}
        96:{2,3,6}:{(67,1),(111,1),(119,1)}
        97:{2,3,5,7}:{(68,1),(69,1),(71,1),(112,1),(116,1),(120,1),(121,1),(155,1)}
        98:{2,6,7}:{(69,1),(70,1)}
        99:{2,4,5,6}:{(72,1),(77,1),(123,1),(124,1),(129,1),(160,1),(171,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(78,1),(124,1),(125,1),(134,1),(162,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(79,1),(125,1),(126,1)}
       102:{3,5,6,7}:{(74,1),(126,1),(127,1),(164,1)}
       103:{2,4,5}:{(76,1),(82,1),(122,1),(129,1)}
       104:{2,3,5,7}:{(75,1),(76,1),(83,1),(128,1),(130,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(80,1),(84,1),(123,1),(129,1),(130,1),(131,1),(160,1)}
       106:{2,5,7}:{(77,1),(78,1),(81,1),(132,1)}
       107:{1,3,6,7}:{(78,1),(79,1),(125,1),(132,1),(158,1)}
       108:{2,3,7}:{(80,1),(81,1),(87,1)}
       109:{1,4,5,7}:{(82,1),(83,1),(94,1),(128,1),(133,1),(134,1),(162,1)}
       110:{1,4,6}:{(82,1),(84,1),(95,1),(129,1),(134,1)}
       111:{1,3,6}:{(83,1),(85,1),(96,1),(130,1),(133,1)}
       112:{1,3,5,7}:{(84,1),(86,1),(87,1),(97,1),(131,1),(134,1),(135,1),(162,1)}
       113:{1,2,6,7}:{(85,1),(86,1),(98,1),(132,1),(135,1)}
       114:{3,4,5,7}:{(88,1),(94,1),(136,1),(137,1),(164,1)}
       115:{3,4,6}:{(88,1),(89,1),(95,1),(137,1)}
       116:{3,5,7}:{(89,1),(90,1),(137,1),(138,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(98,1),(138,1),(139,1),(165,1)}
       118:{1,5,6,7}:{(91,1),(92,1),(139,1),(162,1)}
       119:{2,4,6}:{(94,1),(96,1),(133,1),(136,1),(140,1)}
       120:{2,4,7}:{(95,1),(97,1),(134,1),(137,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(98,1),(135,1),(138,1),(141,1)}
       122:{3,4,5}:{(103,1),(143,1)}
       123:{3,5,6}:{(99,1),(143,1),(144,1)}
       124:{2,4,5,7}:{(99,1),(100,1),(106,1),(144,1),(145,1),(148,1),(169,1),(174,1)}
       125:{1,4,6,7}:{(100,1),(101,1),(107,1),(145,1),(146,1)}
       126:{2,5,6,7}:{(101,1),(102,1),(146,1),(155,1)}
       127:{4,5,6,7}:{(102,1),(170,1)}
       128:{2,4,5,7}:{(103,1),(104,1),(109,1),(142,1),(147,1),(148,1),(169,1)}
       129:{2,4,6}:{(103,1),(105,1),(110,1),(143,1),(148,1)}
       130:{2,3,6}:{(104,1),(111,1),(147,1)}
       131:{2,3,5,7}:{(105,1),(106,1),(108,1),(112,1),(144,1),(148,1),(149,1),(169,1)}
       132:{2,6,7}:{(106,1),(107,1)}
       133:{1,4,6}:{(109,1),(111,1),(119,1),(147,1),(150,1)}
       134:{1,4,7}:{(110,1),(112,1),(120,1),(148,1)}
       135:{1,3,6,7}:{(111,1),(112,1),(113,1),(121,1),(149,1),(151,1)}
       136:{3,4,6}:{(114,1),(119,1),(152,1)}
       137:{3,4,7}:{(115,1),(116,1),(120,1)}
       138:{3,6,7}:{(116,1),(117,1)}
       139:{2,5,6,7}:{(117,1),(118,1),(154,1),(155,1)}
       140:{2,5,6}:{(119,1),(150,1),(152,1),(155,1)}
       141:{2,4,6,7}:{(119,1),(120,1),(121,1),(151,1),(153,1),(155,1)}
       142:{3,4,5,7}:{(122,1),(128,1),(156,1),(157,1),(172,1)}
       143:{3,4,6}:{(122,1),(123,1),(129,1),(157,1)}
       144:{3,5,7}:{(123,1),(124,1),(157,1),(158,1)}
       145:{2,4,6,7}:{(124,1),(125,1),(132,1),(158,1),(159,1),(173,1)}
       146:{1,5,6,7}:{(125,1),(126,1),(159,1),(162,1)}
       147:{2,4,6}:{(128,1),(130,1),(133,1),(156,1),(160,1)}
       148:{2,4,7}:{(129,1),(131,1),(134,1),(157,1)}
       149:{2,3,6,7}:{(130,1),(131,1),(132,1),(135,1),(158,1),(161,1)}
       150:{1,5,6}:{(133,1),(140,1),(160,1),(162,1)}
       151:{1,4,6,7}:{(133,1),(134,1),(135,1),(141,1),(161,1),(162,1)}
       152:{3,5,6}:{(136,1),(140,1),(163,1),(164,1)}
       153:{3,4,6,7}:{(136,1),(137,1),(138,1),(141,1),(164,1),(165,1)}
       154:{3,5,6,7}:{(138,1),(139,1),(164,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(164,1)}
       156:{3,4,6}:{(142,1),(147,1),(166,1)}
       157:{3,4,7}:{(143,1),(144,1),(148,1)}
       158:{3,6,7}:{(144,1),(145,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(168,1),(169,1)}
       160:{2,5,6}:{(147,1),(150,1),(166,1),(169,1)}
       161:{2,4,6,7}:{(147,1),(148,1),(149,1),(151,1),(167,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{4,5,6}:{(152,1),(170,1)}
       164:{3,5,7}:{(152,1),(153,1),(155,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,5,6}:{(156,1),(160,1),(171,1),(172,1)}
       167:{3,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(172,1),(173,1)}
       168:{3,5,6,7}:{(158,1),(159,1),(172,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(172,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(166,1),(174,1)}
       172:{3,5,7}:{(166,1),(167,1),(169,1),(174,1)}
       173:{4,6,7}:{(168,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2410 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2411 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2412 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2413 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2414 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2415 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2416 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2417 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2418 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2419 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2420 :   0:{4,5,6,7}:{(3,1),(172,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(145,1),(162,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(107,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(169,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(128,1),(153,1)}
         5:{3,4,5,7}:{(1,1),(9,1),(14,1),(158,1),(169,1)}
         6:{1,2,3,5}:{(11,1),(15,1),(40,1),(48,1)}
         7:{1,3,4,5}:{(2,1),(17,1),(18,1),(44,1),(48,1),(85,1)}
         8:{2,3,4,6}:{(2,1),(12,1),(18,1),(19,1),(93,1),(128,1)}
         9:{3,4,6,7}:{(3,1),(5,1),(21,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(164,1)}
        11:{1,2,3,6}:{(6,1),(20,1),(23,1),(70,1)}
        12:{2,3,5,6}:{(4,1),(8,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(4,1),(25,1),(27,1),(28,1),(109,1),(141,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(28,1),(147,1),(164,1)}
        15:{1,2,4}:{(6,1),(29,1)}
        16:{2,3,4}:{(29,1),(31,1)}
        17:{2,4,5}:{(7,1),(31,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(25,1),(32,1),(33,1),(66,1),(70,1),(109,1)}
        19:{2,3,4,7}:{(8,1),(26,1),(33,1),(115,1),(147,1)}
        20:{1,2,3,7}:{(11,1),(34,1),(95,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(14,1),(36,1),(37,1)}
        22:{1,5,6,7}:{(10,1),(37,1),(38,1),(155,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(34,1),(39,1),(40,1),(76,1)}
        24:{2,3,4,6}:{(16,1),(35,1),(39,1),(41,1),(51,1),(78,1),(88,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(18,1),(42,1),(43,1),(45,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(19,1),(36,1),(43,1)}
        27:{2,4,5,6}:{(13,1),(42,1),(45,1),(46,1),(82,1),(88,1),(123,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(37,1),(43,1),(46,1),(131,1),(155,1)}
        29:{1,3,4}:{(15,1),(16,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(15,1),(17,1),(40,1),(48,1),(49,1),(85,1),(92,1)}
        31:{2,3,5}:{(16,1),(17,1),(48,1),(51,1)}
        32:{2,4,6}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(43,1),(52,1),(91,1),(95,1),(131,1)}
        34:{1,2,4,7}:{(20,1),(23,1),(53,1),(54,1)}
        35:{2,3,4,7}:{(24,1),(53,1),(55,1),(73,1),(112,1)}
        36:{2,3,6,7}:{(21,1),(26,1),(56,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(56,1),(58,1)}
        38:{2,5,6,7}:{(22,1),(58,1),(59,1),(143,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(29,1),(53,1),(60,1),(61,1),(70,1),(100,1),(109,1)}
        40:{1,2,5}:{(23,1),(61,1)}
        41:{2,3,5}:{(24,1),(61,1),(63,1)}
        42:{2,5,6}:{(25,1),(32,1),(65,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(33,1),(56,1),(65,1),(67,1)}
        44:{3,4,5}:{(63,1),(66,1)}
        45:{3,5,6}:{(27,1),(66,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(58,1),(65,1),(67,1),(106,1),(112,1),(143,1)}
        47:{2,3,4}:{(29,1),(68,1)}
        48:{1,3,5}:{(29,1),(30,1),(31,1),(68,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(32,1),(62,1),(70,1),(71,1),(109,1),(114,1)}
        50:{2,3,4,5}:{(31,1),(63,1),(69,1),(72,1)}
        51:{2,3,6}:{(31,1),(32,1),(70,1),(73,1)}
        52:{2,4,7}:{(32,1),(33,1),(65,1),(73,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(74,1),(75,1),(95,1),(131,1)}
        54:{1,2,5,7}:{(34,1),(40,1),(75,1),(76,1)}
        55:{2,3,5,7}:{(35,1),(41,1),(75,1),(77,1),(78,1)}
        56:{1,3,6,7}:{(36,1),(37,1),(43,1),(79,1),(81,1)}
        57:{3,4,5,7}:{(44,1),(77,1),(80,1),(91,1),(125,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(46,1),(79,1),(81,1),(83,1)}
        59:{3,5,6,7}:{(38,1),(81,1),(83,1),(125,1)}
        60:{2,3,4,6}:{(39,1),(47,1),(74,1),(84,1),(93,1),(120,1),(128,1)}
        61:{1,3,5}:{(39,1),(40,1),(41,1),(84,1),(85,1)}
        62:{1,2,5,6}:{(40,1),(42,1),(49,1),(76,1),(86,1),(87,1),(134,1)}
        63:{2,4,5}:{(41,1),(44,1),(85,1),(88,1)}
        64:{2,3,5,6}:{(41,1),(42,1),(45,1),(51,1),(78,1),(86,1),(88,1),(89,1),(123,1)}
        65:{2,5,7}:{(42,1),(43,1),(52,1),(79,1)}
        66:{3,4,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(46,1),(81,1),(91,1)}
        68:{2,3,5}:{(47,1),(48,1),(92,1),(93,1)}
        69:{1,3,4,5}:{(48,1),(50,1),(85,1),(92,1),(94,1),(127,1)}
        70:{1,3,6}:{(48,1),(49,1),(51,1),(93,1),(95,1)}
        71:{1,2,4,7}:{(49,1),(52,1),(87,1),(95,1),(131,1),(135,1)}
        72:{2,3,4,6}:{(50,1),(51,1),(88,1),(94,1),(96,1),(97,1)}
        73:{2,3,7}:{(51,1),(52,1),(95,1)}
        74:{2,3,4,7}:{(53,1),(60,1),(98,1),(115,1),(147,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(55,1),(61,1),(98,1),(99,1),(100,1)}
        76:{1,2,6}:{(54,1),(100,1)}
        77:{2,4,5,7}:{(55,1),(57,1),(63,1),(99,1),(102,1),(112,1),(143,1)}
        78:{2,3,6}:{(55,1),(100,1),(102,1)}
        79:{2,6,7}:{(56,1),(65,1)}
        80:{3,4,6}:{(57,1),(102,1),(104,1)}
        81:{3,6,7}:{(58,1),(67,1)}
        82:{4,5,6}:{(104,1),(106,1)}
        83:{4,6,7}:{(59,1),(106,1)}
        84:{2,3,5}:{(60,1),(61,1),(107,1)}
        85:{1,4,5}:{(61,1),(63,1),(107,1),(109,1)}
        86:{1,3,5,6}:{(61,1),(62,1),(64,1),(70,1),(100,1),(108,1),(109,1),(110,1),(141,1)}
        87:{1,2,5,7}:{(62,1),(65,1),(71,1),(101,1),(110,1),(150,1)}
        88:{2,4,6}:{(63,1),(64,1),(66,1),(109,1),(112,1)}
        89:{2,3,5,7}:{(64,1),(65,1),(67,1),(73,1),(103,1),(110,1),(112,1),(143,1)}
        90:{3,4,5,6}:{(66,1),(104,1),(111,1),(113,1)}
        91:{3,4,7}:{(66,1),(67,1),(112,1)}
        92:{2,4,5}:{(68,1),(69,1),(114,1)}
        93:{2,3,6}:{(68,1),(70,1),(114,1),(115,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(72,1),(109,1),(114,1),(116,1),(117,1),(145,1)}
        95:{1,3,7}:{(70,1),(71,1),(73,1),(115,1)}
        96:{2,3,5,6}:{(72,1),(111,1),(116,1),(118,1)}
        97:{2,3,4,7}:{(72,1),(73,1),(112,1),(117,1),(118,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(84,1),(119,1),(120,1)}
        99:{1,4,5,7}:{(75,1),(77,1),(85,1),(119,1),(121,1),(131,1),(155,1)}
       100:{1,3,6}:{(75,1),(76,1),(78,1),(120,1),(121,1)}
       101:{1,2,6,7}:{(76,1),(79,1),(87,1),(122,1),(161,1)}
       102:{2,4,6}:{(77,1),(78,1),(80,1),(121,1),(123,1)}
       103:{2,3,6,7}:{(78,1),(79,1),(81,1),(89,1),(122,1),(124,1)}
       104:{3,5,6}:{(80,1),(82,1),(123,1),(125,1)}
       105:{3,4,6,7}:{(80,1),(81,1),(83,1),(91,1),(124,1),(125,1)}
       106:{4,5,7}:{(82,1),(83,1),(125,1)}
       107:{2,4,5}:{(84,1),(85,1),(127,1),(128,1)}
       108:{2,3,5,6}:{(84,1),(86,1),(93,1),(120,1),(128,1),(129,1),(134,1),(153,1),(157,1)}
       109:{1,4,6}:{(85,1),(86,1),(88,1),(128,1),(131,1)}
       110:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(122,1),(129,1),(131,1),(155,1)}
       111:{2,4,5,6}:{(88,1),(90,1),(96,1),(123,1),(130,1),(132,1)}
       112:{2,4,7}:{(88,1),(89,1),(91,1),(131,1)}
       113:{3,4,5,7}:{(90,1),(91,1),(125,1),(132,1),(133,1)}
       114:{2,4,6}:{(92,1),(93,1),(94,1),(134,1),(135,1)}
       115:{2,3,7}:{(93,1),(95,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(96,1),(130,1),(134,1),(136,1),(157,1)}
       117:{1,3,4,7}:{(94,1),(95,1),(97,1),(131,1),(135,1),(136,1),(158,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(132,1),(136,1),(137,1)}
       119:{2,4,5,7}:{(98,1),(99,1),(107,1),(138,1),(139,1),(147,1),(164,1)}
       120:{2,3,6}:{(98,1),(100,1),(139,1)}
       121:{1,4,6}:{(99,1),(100,1),(102,1),(139,1),(141,1)}
       122:{1,3,6,7}:{(100,1),(101,1),(103,1),(110,1),(140,1),(142,1)}
       123:{2,5,6}:{(102,1),(104,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(102,1),(103,1),(105,1),(112,1),(142,1),(143,1)}
       125:{3,5,7}:{(104,1),(105,1),(106,1),(143,1)}
       126:{4,5,6,7}:{(106,1),(144,1)}
       127:{3,4,5}:{(107,1),(145,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1),(147,1)}
       129:{2,3,5,7}:{(108,1),(110,1),(115,1),(140,1),(147,1),(150,1),(164,1),(166,1)}
       130:{1,4,5,6}:{(109,1),(111,1),(116,1),(141,1),(146,1),(148,1)}
       131:{1,4,7}:{(109,1),(110,1),(112,1),(147,1)}
       132:{2,4,5,7}:{(111,1),(112,1),(113,1),(118,1),(143,1),(148,1),(149,1)}
       133:{3,4,6,7}:{(113,1),(144,1),(149,1)}
       134:{2,5,6}:{(114,1),(116,1),(150,1)}
       135:{2,4,7}:{(114,1),(115,1),(117,1),(150,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(148,1),(150,1),(151,1),(166,1)}
       137:{2,3,6,7}:{(118,1),(149,1),(151,1)}
       138:{3,4,5,7}:{(119,1),(127,1),(152,1),(158,1),(169,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(152,1),(153,1)}
       140:{2,3,6,7}:{(120,1),(122,1),(129,1),(154,1),(161,1),(171,1)}
       141:{1,5,6}:{(121,1),(123,1),(153,1),(155,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(131,1),(154,1),(155,1)}
       143:{2,5,7}:{(123,1),(124,1),(125,1),(155,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(133,1),(156,1)}
       145:{3,4,6}:{(127,1),(128,1),(157,1),(158,1)}
       146:{2,4,5,6}:{(128,1),(130,1),(134,1),(153,1),(157,1),(159,1),(168,1)}
       147:{2,4,7}:{(128,1),(129,1),(131,1),(158,1)}
       148:{1,4,5,7}:{(130,1),(131,1),(132,1),(136,1),(155,1),(159,1),(160,1)}
       149:{2,4,6,7}:{(132,1),(133,1),(137,1),(156,1),(160,1)}
       150:{2,5,7}:{(134,1),(135,1),(136,1),(161,1)}
       151:{1,3,6,7}:{(136,1),(137,1),(160,1),(161,1),(171,1)}
       152:{3,4,6}:{(138,1),(139,1),(162,1)}
       153:{2,5,6}:{(139,1),(141,1),(162,1),(164,1)}
       154:{2,4,6,7}:{(139,1),(140,1),(142,1),(147,1),(163,1),(164,1)}
       155:{1,5,7}:{(141,1),(142,1),(143,1),(164,1)}
       156:{2,5,6,7}:{(143,1),(144,1),(149,1),(165,1)}
       157:{3,5,6}:{(145,1),(146,1),(166,1)}
       158:{3,4,7}:{(145,1),(147,1),(166,1)}
       159:{2,4,5,7}:{(146,1),(147,1),(148,1),(150,1),(164,1),(166,1),(167,1),(172,1)}
       160:{1,4,6,7}:{(148,1),(149,1),(151,1),(165,1),(167,1)}
       161:{2,6,7}:{(150,1),(151,1)}
       162:{3,5,6}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(154,1),(158,1),(169,1),(171,1),(174,1)}
       164:{2,5,7}:{(153,1),(154,1),(155,1),(169,1)}
       165:{1,5,6,7}:{(155,1),(156,1),(160,1),(170,1)}
       166:{3,5,7}:{(157,1),(158,1),(159,1),(171,1)}
       167:{2,4,6,7}:{(159,1),(160,1),(161,1),(170,1),(171,1),(174,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(164,1),(172,1)}
       170:{2,5,6,7}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,6,7}:{(166,1),(167,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2421 :   0:{2,3,4,5,7}:{(1,1),(2,1),(13,1),(37,1),(166,1),(169,1),(195,1),(197,1),(248,1),(259,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(137,1),(139,1),(154,1),(157,1),(237,1),(239,1),(299,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(63,1),(131,1),(288,1),(298,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(14,1),(36,1),(115,1),(118,1),(194,1),(249,1),(251,1),(259,1)}
         4:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(49,1),(90,1),(166,1),(191,1),(195,1),(244,1),(256,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(51,1),(115,1),(118,1),(278,1),(279,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(43,1),(103,1),(119,1),(333,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(321,1),(330,1)}
         8:{1,3,4,5,7}:{(3,1),(19,1),(20,1),(22,1),(60,1),(137,1),(139,1),(207,1),(210,1),(290,1),(292,1),(299,1)}
         9:{2,3,4,6}:{(3,1),(20,1),(21,1),(31,1),(85,1),(235,1),(298,1)}
        10:{1,2,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(24,1),(68,1),(74,1),(137,1),(139,1),(299,1),(300,1),(301,1),(304,1)}
        11:{1,2,3,5,7}:{(22,1),(24,1),(25,1),(74,1),(304,1),(305,1),(306,1)}
        12:{1,3,4,6,7}:{(4,1),(6,1),(27,1),(28,1),(67,1),(78,1),(137,1),(150,1),(154,1),(234,1),(237,1),(296,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(28,1),(29,1),(285,1),(295,1)}
        14:{2,3,5,7}:{(5,1),(22,1),(30,1),(31,1),(84,1),(316,1),(317,1)}
        15:{2,4,6}:{(5,1),(6,1),(31,1),(32,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(28,1),(32,1),(33,1),(86,1),(360,1)}
        17:{2,4,5,6}:{(7,1),(29,1),(33,1),(34,1),(131,1)}
        18:{2,3,4,6,7}:{(9,1),(35,1),(36,1),(50,1),(89,1),(115,1),(190,1),(245,1),(249,1),(256,1)}
        19:{2,4,5,7}:{(8,1),(37,1),(38,1),(91,1),(166,1),(169,1),(327,1),(328,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(38,1),(39,1),(43,1),(103,1),(170,1),(333,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(39,1),(40,1),(272,1),(330,1)}
        22:{1,3,5,7}:{(10,1),(14,1),(37,1),(42,1),(43,1),(102,1),(335,1),(336,1)}
        23:{1,2,4,6}:{(10,1),(15,1),(38,1),(43,1),(44,1),(103,1),(333,1),(337,1)}
        24:{1,2,4,7}:{(11,1),(42,1),(46,1),(339,1)}
        25:{1,2,3,6}:{(11,1),(43,1),(46,1),(337,1)}
        26:{2,3,5,6,7}:{(13,1),(48,1),(49,1),(110,1),(188,1),(191,1)}
        27:{2,4,6,7}:{(12,1),(15,1),(50,1),(51,1),(115,1),(275,1),(278,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(52,1),(116,1),(331,1)}
        29:{2,4,5,7}:{(13,1),(17,1),(49,1),(52,1),(53,1),(166,1)}
        30:{2,3,4,7}:{(14,1),(42,1),(54,1),(115,1),(348,1)}
        31:{2,3,6}:{(14,1),(15,1),(43,1)}
        32:{2,5,6}:{(15,1),(16,1),(51,1)}
        33:{1,4,5,6}:{(16,1),(17,1),(52,1),(56,1),(103,1)}
        34:{3,4,5,6}:{(17,1),(53,1),(170,1),(321,1)}
        35:{1,3,4,6,7}:{(18,1),(20,1),(59,1),(60,1),(67,1),(124,1),(137,1),(203,1),(207,1),(287,1),(290,1),(296,1)}
        36:{2,3,5,7}:{(18,1),(21,1),(60,1),(61,1),(232,1),(295,1)}
        37:{2,3,5,7}:{(19,1),(22,1),(62,1),(63,1),(130,1),(358,1),(359,1)}
        38:{2,4,6}:{(19,1),(20,1),(63,1),(64,1)}
        39:{1,3,5,6}:{(20,1),(21,1),(60,1),(64,1),(65,1),(132,1),(360,1)}
        40:{2,4,5,6}:{(21,1),(61,1),(65,1),(66,1),(85,1)}
        41:{1,2,4,6,7}:{(23,1),(27,1),(59,1),(67,1),(68,1),(137,1),(296,1),(297,1),(300,1)}
        42:{1,3,4,7}:{(22,1),(24,1),(30,1),(62,1),(69,1),(137,1),(365,1)}
        43:{1,3,6}:{(22,1),(23,1),(31,1),(63,1)}
        44:{1,2,5,6}:{(23,1),(32,1),(64,1),(68,1),(70,1),(74,1),(360,1)}
        45:{1,2,3,6,7}:{(25,1),(67,1),(72,1),(73,1),(215,1),(223,1),(297,1),(305,1),(362,1),(366,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(69,1),(74,1)}
        47:{1,2,3,5,6}:{(25,1),(70,1),(73,1),(74,1),(75,1),(141,1),(142,1),(145,1),(222,1),(223,1),(302,1),(306,1),(366,1),(401,1),(404,1)}
        48:{1,3,5,6,7}:{(26,1),(28,1),(77,1),(78,1),(150,1),(230,1),(234,1)}
        49:{2,4,6,7}:{(26,1),(29,1),(78,1),(79,1)}
        50:{2,3,6,7}:{(27,1),(31,1),(67,1),(81,1),(150,1),(316,1)}
        51:{2,5,7}:{(27,1),(28,1),(32,1)}
        52:{1,4,5,7}:{(28,1),(29,1),(33,1),(78,1),(82,1),(137,1)}
        53:{3,4,5,7}:{(29,1),(34,1),(79,1),(207,1),(285,1)}
        54:{2,3,4,6}:{(30,1),(31,1),(69,1),(84,1),(85,1)}
        55:{2,3,5,6}:{(31,1),(32,1),(70,1),(81,1),(84,1),(85,1),(86,1)}
        56:{2,4,5,6}:{(32,1),(33,1),(82,1),(85,1),(86,1)}
        57:{1,3,4,5,6}:{(33,1),(34,1),(83,1),(86,1),(87,1),(140,1),(159,1),(294,1),(307,1),(368,1),(405,1)}
        58:{2,3,5,6,7}:{(36,1),(88,1),(89,1),(161,1),(242,1),(245,1)}
        59:{2,4,6,7}:{(35,1),(38,1),(90,1),(91,1),(166,1),(324,1),(327,1)}
        60:{1,3,5,7}:{(35,1),(36,1),(39,1),(91,1),(92,1),(167,1),(331,1)}
        61:{2,4,5,7}:{(36,1),(40,1),(89,1),(92,1),(93,1),(115,1)}
        62:{2,3,4,7}:{(37,1),(42,1),(94,1),(166,1),(383,1)}
        63:{2,3,6}:{(37,1),(38,1),(43,1)}
        64:{2,5,6}:{(38,1),(39,1),(91,1)}
        65:{1,4,5,6}:{(39,1),(40,1),(92,1),(96,1),(103,1)}
        66:{3,4,5,6}:{(40,1),(93,1),(119,1),(272,1)}
        67:{1,3,6,7}:{(41,1),(43,1),(50,1),(90,1),(100,1),(335,1)}
        68:{1,2,5,7}:{(41,1),(44,1),(51,1),(91,1),(100,1),(331,1)}
        69:{1,3,4,6}:{(42,1),(43,1),(46,1),(54,1),(94,1),(102,1),(103,1)}
        70:{1,3,5,6}:{(43,1),(44,1),(55,1),(95,1),(100,1),(102,1),(103,1)}
        71:{1,2,4,5,6}:{(44,1),(56,1),(96,1),(101,1),(103,1),(104,1),(107,1),(121,1),(172,1),(180,1),(182,1),(199,1),(253,1),(254,1),(263,1),(330,1),(384,1),(389,1),(409,1),(414,1)}
        72:{1,2,4,6,7}:{(45,1),(46,1),(99,1),(105,1),(106,1),(182,1),(256,1),(266,1),(337,1),(388,1)}
        73:{1,2,3,5,7}:{(45,1),(47,1),(100,1),(105,1),(106,1),(178,1),(183,1),(261,1),(335,1),(385,1)}
        74:{1,2,5}:{(46,1),(102,1)}
        75:{1,2,4,6}:{(47,1),(103,1),(106,1),(107,1),(108,1),(180,1),(339,1),(414,1)}
        76:{2,4,5,6,7}:{(49,1),(109,1),(110,1),(188,1),(243,1),(342,1)}
        77:{2,5,6,7}:{(48,1),(51,1),(112,1),(275,1)}
        78:{1,4,6,7}:{(48,1),(49,1),(52,1),(112,1)}
        79:{3,4,6,7}:{(49,1),(53,1),(110,1)}
        80:{2,3,4,6,7}:{(50,1),(54,1),(99,1),(114,1),(115,1),(184,1),(190,1),(193,1),(256,1),(264,1),(380,1),(412,1),(413,1)}
        81:{2,3,5,7}:{(50,1),(51,1),(55,1),(100,1),(115,1),(116,1)}
        82:{2,4,5,7}:{(51,1),(52,1),(56,1),(112,1),(115,1),(116,1)}
        83:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(113,1),(116,1),(117,1),(177,1),(196,1),(255,1),(269,1),(341,1),(390,1)}
        84:{2,3,5}:{(54,1),(102,1),(118,1)}
        85:{2,4,6}:{(55,1),(103,1),(115,1),(118,1),(119,1)}
        86:{3,5,6}:{(56,1),(116,1),(119,1)}
        87:{2,4,5,6}:{(57,1),(117,1),(120,1),(121,1),(180,1),(199,1),(330,1)}
        88:{1,3,5,6,7}:{(58,1),(60,1),(123,1),(124,1),(203,1),(283,1),(287,1)}
        89:{2,4,6,7}:{(58,1),(61,1),(124,1),(125,1)}
        90:{2,3,6,7}:{(59,1),(63,1),(67,1),(127,1),(203,1),(358,1)}
        91:{2,5,7}:{(59,1),(60,1),(64,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(65,1),(124,1),(128,1),(137,1)}
        93:{3,4,5,7}:{(61,1),(66,1),(125,1),(154,1),(232,1)}
        94:{2,3,4,6}:{(62,1),(63,1),(69,1),(130,1),(131,1)}
        95:{2,3,5,6}:{(63,1),(64,1),(70,1),(127,1),(130,1),(131,1),(132,1)}
        96:{2,4,5,6}:{(64,1),(65,1),(128,1),(131,1),(132,1)}
        97:{1,3,4,5,6}:{(65,1),(66,1),(129,1),(132,1),(133,1),(140,1),(212,1),(294,1),(349,1),(394,1),(418,1)}
        98:{1,2,5,6,7}:{(68,1),(77,1),(123,1),(134,1),(135,1),(142,1),(230,1),(283,1),(295,1),(297,1),(310,1),(352,1),(361,1)}
        99:{1,3,4,6,7}:{(67,1),(69,1),(72,1),(80,1),(126,1),(136,1),(137,1),(144,1),(216,1),(223,1),(225,1),(296,1),(303,1),(362,1),(402,1),(403,1)}
       100:{1,3,5,7}:{(67,1),(68,1),(70,1),(81,1),(127,1),(137,1)}
       101:{1,2,4,5,7}:{(68,1),(71,1),(82,1),(128,1),(135,1),(137,1),(138,1),(156,1),(209,1),(213,1),(218,1),(238,1),(291,1),(295,1),(300,1),(361,1),(369,1),(395,1),(402,1)}
       102:{1,3,5}:{(69,1),(74,1),(84,1),(130,1),(139,1)}
       103:{1,4,6}:{(70,1),(85,1),(131,1),(137,1),(139,1)}
       104:{1,3,5,6}:{(71,1),(86,1),(132,1),(138,1),(140,1),(141,1),(145,1),(223,1),(302,1),(405,1),(418,1)}
       105:{1,2,5,7}:{(72,1),(74,1),(136,1),(142,1),(295,1),(404,1)}
       106:{1,2,4,7}:{(73,1),(75,1),(137,1),(144,1),(218,1),(402,1)}
       107:{1,2,4,5}:{(74,1),(75,1),(139,1),(145,1),(220,1),(404,1),(422,1)}
       108:{1,3,4,6}:{(75,1),(144,1),(145,1),(146,1),(223,1),(302,1),(365,1)}
       109:{1,4,5,6,7}:{(76,1),(78,1),(147,1),(148,1),(213,1),(230,1),(309,1)}
       110:{3,5,6,7}:{(76,1),(79,1),(285,1),(370,1)}
       111:{2,3,5,6,7}:{(77,1),(81,1),(134,1),(149,1),(150,1),(152,1),(215,1),(232,1),(295,1),(352,1),(396,1),(398,1)}
       112:{2,4,6,7}:{(77,1),(78,1),(82,1),(150,1)}
       113:{1,3,4,6,7}:{(78,1),(79,1),(83,1),(148,1),(150,1),(151,1),(228,1),(234,1),(309,1),(370,1)}
       114:{2,3,5,7}:{(80,1),(84,1),(136,1),(152,1),(153,1),(232,1),(295,1),(421,1)}
       115:{2,4,7}:{(81,1),(85,1),(137,1),(154,1)}
       116:{3,5,7}:{(82,1),(86,1),(150,1),(154,1)}
       117:{2,4,5,7}:{(83,1),(87,1),(151,1),(155,1),(156,1),(218,1),(238,1),(295,1)}
       118:{2,4,5}:{(84,1),(85,1),(139,1),(157,1)}
       119:{3,4,6}:{(85,1),(86,1),(154,1),(157,1)}
       120:{2,3,5,6}:{(86,1),(87,1),(155,1),(158,1),(159,1),(405,1)}
       121:{1,4,5,6}:{(87,1),(156,1),(159,1),(221,1),(360,1)}
       122:{2,4,5,6,7}:{(89,1),(160,1),(161,1),(189,1),(242,1),(377,1)}
       123:{2,5,6,7}:{(88,1),(91,1),(163,1),(324,1)}
       124:{1,4,6,7}:{(88,1),(89,1),(92,1),(163,1)}
       125:{3,4,6,7}:{(89,1),(93,1),(161,1)}
       126:{2,3,4,6,7}:{(90,1),(94,1),(99,1),(165,1),(166,1),(184,1),(244,1),(247,1),(256,1),(264,1),(345,1),(392,1),(393,1)}
       127:{2,3,5,7}:{(90,1),(91,1),(95,1),(100,1),(166,1),(167,1)}
       128:{2,4,5,7}:{(91,1),(92,1),(96,1),(163,1),(166,1),(167,1)}
       129:{1,3,4,5,7}:{(92,1),(93,1),(97,1),(164,1),(167,1),(168,1),(177,1),(250,1),(255,1),(318,1),(376,1),(410,1)}
       130:{2,3,5}:{(94,1),(102,1),(169,1)}
       131:{2,4,6}:{(95,1),(103,1),(166,1),(169,1),(170,1)}
       132:{3,5,6}:{(96,1),(167,1),(170,1)}
       133:{2,4,5,6}:{(97,1),(168,1),(171,1),(172,1),(180,1),(253,1),(330,1)}
       134:{1,3,5,6,7}:{(98,1),(100,1),(111,1),(162,1),(173,1),(174,1),(175,1),(255,1),(257,1),(331,1),(385,1)}
       135:{1,2,4,6,7}:{(98,1),(101,1),(112,1),(163,1),(173,1),(174,1),(182,1),(192,1),(246,1),(256,1),(275,1),(324,1),(342,1),(377,1)}
       136:{1,3,5,7}:{(99,1),(102,1),(105,1),(114,1),(165,1),(175,1),(176,1),(331,1),(415,1)}
       137:{1,4,7}:{(100,1),(103,1),(115,1),(166,1)}
       138:{1,3,5,7}:{(101,1),(104,1),(116,1),(167,1),(174,1),(177,1),(178,1),(335,1),(390,1),(410,1)}
       139:{1,4,5}:{(102,1),(103,1),(118,1),(169,1)}
       140:{1,3,4,6}:{(103,1),(104,1),(119,1),(170,1),(177,1),(179,1),(180,1),(414,1),(416,1),(424,1)}
       141:{2,3,5,6}:{(104,1),(178,1),(180,1),(181,1),(185,1),(199,1),(253,1),(264,1),(280,1),(329,1),(330,1)}
       142:{1,2,5,6}:{(105,1),(175,1),(182,1),(330,1),(337,1)}
       143:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(176,1),(182,1),(183,1),(259,1)}
       144:{1,3,4,7}:{(106,1),(108,1),(183,1),(184,1),(335,1)}
       145:{1,3,5}:{(107,1),(108,1),(185,1)}
       146:{2,3,4,6}:{(108,1),(180,1),(184,1),(185,1),(186,1),(264,1),(280,1),(329,1),(348,1),(383,1)}
       147:{2,4,5,6,7}:{(109,1),(112,1),(187,1),(188,1),(189,1),(270,1)}
       148:{1,3,5,6,7}:{(109,1),(110,1),(113,1),(187,1),(188,1),(255,1)}
       149:{2,4,6,7}:{(111,1),(115,1),(173,1),(189,1),(190,1),(193,1),(412,1)}
       150:{3,6,7}:{(112,1),(116,1)}
       151:{2,4,6,7}:{(113,1),(117,1),(188,1),(191,1),(192,1),(275,1)}
       152:{2,3,5,6}:{(114,1),(175,1),(193,1),(264,1),(272,1),(330,1)}
       153:{2,4,5,7}:{(114,1),(115,1),(118,1),(176,1),(193,1),(194,1),(412,1),(425,1)}
       154:{3,4,7}:{(115,1),(116,1),(119,1)}
       155:{2,3,5,7}:{(116,1),(117,1),(120,1),(191,1),(195,1),(196,1),(390,1)}
       156:{1,4,5,7}:{(117,1),(121,1),(192,1),(196,1),(260,1),(331,1)}
       157:{3,4,5}:{(118,1),(119,1)}
       158:{2,3,4,6}:{(119,1),(120,1),(180,1),(195,1),(197,1),(198,1),(329,1),(416,1)}
       159:{1,3,5,6}:{(120,1),(121,1),(196,1),(198,1),(199,1)}
       160:{1,4,5,6,7}:{(122,1),(124,1),(200,1),(201,1),(213,1),(283,1),(351,1)}
       161:{3,5,6,7}:{(122,1),(125,1),(232,1),(396,1)}
       162:{2,3,5,6,7}:{(123,1),(127,1),(134,1),(202,1),(203,1),(205,1),(215,1),(285,1),(295,1),(310,1),(370,1),(372,1)}
       163:{2,4,6,7}:{(123,1),(124,1),(128,1),(203,1)}
       164:{1,3,4,6,7}:{(124,1),(125,1),(129,1),(201,1),(203,1),(204,1),(281,1),(287,1),(351,1),(396,1)}
       165:{2,3,5,7}:{(126,1),(130,1),(136,1),(205,1),(206,1),(285,1),(295,1),(408,1)}
       166:{2,4,7}:{(127,1),(131,1),(137,1),(207,1)}
       167:{3,5,7}:{(128,1),(132,1),(203,1),(207,1)}
       168:{2,4,5,7}:{(129,1),(133,1),(204,1),(208,1),(209,1),(218,1),(291,1),(295,1)}
       169:{2,4,5}:{(130,1),(131,1),(139,1),(210,1)}
       170:{3,4,6}:{(131,1),(132,1),(207,1),(210,1)}
       171:{2,3,5,6}:{(132,1),(133,1),(208,1),(211,1),(212,1),(418,1)}
       172:{1,4,5,6}:{(133,1),(209,1),(212,1),(221,1),(360,1)}
       173:{1,4,6,7}:{(134,1),(137,1),(149,1),(202,1),(213,1),(216,1),(402,1)}
       174:{1,3,6,7}:{(135,1),(138,1),(150,1),(203,1),(215,1),(223,1),(370,1),(396,1)}
       175:{1,3,5,6}:{(136,1),(142,1),(152,1),(205,1),(216,1),(223,1),(303,1),(360,1)}
       176:{1,4,5,7}:{(136,1),(137,1),(139,1),(153,1),(206,1),(216,1),(402,1),(422,1)}
       177:{1,3,4,7}:{(137,1),(138,1),(140,1),(154,1),(207,1),(218,1),(402,1),(406,1),(419,1)}
       178:{2,3,5,7}:{(138,1),(141,1),(215,1),(218,1),(219,1),(238,1),(291,1),(295,1),(316,1),(358,1)}
       179:{1,3,4,5}:{(139,1),(140,1),(145,1),(157,1),(210,1),(220,1),(422,1),(423,1),(426,1)}
       180:{2,4,6}:{(140,1),(141,1),(218,1),(220,1),(221,1)}
       181:{1,3,5,6}:{(141,1),(219,1),(221,1),(222,1),(226,1),(302,1),(303,1),(360,1)}
       182:{1,2,4,6}:{(142,1),(143,1),(216,1),(223,1),(298,1)}
       183:{1,3,5,7}:{(143,1),(144,1),(145,1),(223,1),(224,1)}
       184:{2,3,4,7}:{(144,1),(146,1),(218,1),(224,1),(225,1),(316,1),(358,1)}
       185:{2,3,5}:{(145,1),(146,1),(220,1),(226,1)}
       186:{1,3,4,6}:{(146,1),(221,1),(225,1),(226,1),(227,1),(302,1),(303,1),(365,1)}
       187:{3,5,6,7}:{(147,1),(150,1),(228,1),(232,1)}
       188:{2,5,6,7}:{(148,1),(151,1),(230,1),(295,1)}
       189:{2,4,5,7}:{(149,1),(213,1),(231,1),(232,1),(295,1)}
       190:{3,4,6,7}:{(149,1),(150,1),(154,1),(232,1),(235,1),(396,1),(419,1)}
       191:{2,3,6,7}:{(150,1),(151,1),(155,1),(234,1),(370,1)}
       192:{1,4,6,7}:{(151,1),(156,1),(230,1),(234,1)}
       193:{2,4,6}:{(152,1),(153,1),(216,1),(235,1)}
       194:{3,4,5,7}:{(153,1),(154,1),(157,1),(232,1),(235,1),(419,1),(426,1)}
       195:{2,3,4,7}:{(154,1),(155,1),(158,1),(218,1),(237,1),(358,1),(406,1)}
       196:{1,3,5,7}:{(155,1),(156,1),(159,1),(234,1),(237,1),(238,1)}
       197:{2,3,4,5}:{(157,1),(158,1),(220,1),(239,1),(359,1),(423,1)}
       198:{1,3,4,6}:{(158,1),(159,1),(221,1),(237,1),(239,1),(240,1),(302,1)}
       199:{2,5,6}:{(159,1),(238,1),(240,1)}
       200:{2,4,5,6,7}:{(160,1),(163,1),(241,1),(242,1),(243,1),(319,1)}
       201:{1,3,5,6,7}:{(160,1),(161,1),(164,1),(241,1),(242,1),(255,1)}
       202:{2,4,6,7}:{(162,1),(166,1),(173,1),(243,1),(244,1),(247,1),(392,1)}
       203:{3,6,7}:{(163,1),(167,1)}
       204:{2,4,6,7}:{(164,1),(168,1),(242,1),(245,1),(246,1),(324,1)}
       205:{2,3,5,6}:{(165,1),(175,1),(247,1),(264,1),(321,1),(330,1)}
       206:{2,4,5,7}:{(165,1),(166,1),(169,1),(176,1),(247,1),(248,1),(392,1),(417,1)}
       207:{3,4,7}:{(166,1),(167,1),(170,1)}
       208:{2,3,5,7}:{(167,1),(168,1),(171,1),(245,1),(249,1),(250,1),(410,1)}
       209:{1,4,5,7}:{(168,1),(172,1),(246,1),(250,1),(260,1),(331,1)}
       210:{3,4,5}:{(169,1),(170,1)}
       211:{2,3,4,6}:{(170,1),(171,1),(180,1),(249,1),(251,1),(252,1),(280,1),(424,1)}
       212:{1,3,5,6}:{(171,1),(172,1),(250,1),(252,1),(253,1)}
       213:{1,4,5,7}:{(173,1),(189,1),(243,1),(254,1),(255,1),(331,1)}
       214:{1,3,4,6,7}:{(173,1),(174,1),(177,1),(190,1),(244,1),(255,1),(256,1),(258,1)}
       215:{2,3,6,7}:{(174,1),(178,1),(256,1),(257,1),(264,1),(275,1),(324,1)}
       216:{1,4,6}:{(175,1),(176,1),(193,1),(247,1)}
       217:{1,3,4,5,7}:{(176,1),(177,1),(179,1),(183,1),(194,1),(248,1),(255,1),(258,1),(259,1)}
       218:{2,4,7}:{(177,1),(178,1),(180,1),(260,1)}
       219:{1,3,5,7}:{(178,1),(181,1),(257,1),(260,1),(261,1),(331,1),(335,1)}
       220:{2,4,5}:{(179,1),(180,1),(185,1),(262,1)}
       221:{1,4,6}:{(180,1),(181,1),(260,1),(262,1)}
       222:{1,2,5,6}:{(181,1),(199,1),(253,1),(261,1),(263,1),(267,1),(337,1)}
       223:{1,3,6}:{(182,1),(183,1),(264,1)}
       224:{2,3,5,7}:{(183,1),(184,1),(185,1),(259,1),(264,1),(265,1)}
       225:{1,3,4,7}:{(184,1),(186,1),(260,1),(265,1),(266,1),(335,1)}
       226:{1,3,5}:{(185,1),(186,1),(262,1),(267,1)}
       227:{1,2,4,6}:{(186,1),(266,1),(267,1),(268,1),(337,1),(339,1)}
       228:{3,4,6,7}:{(187,1),(269,1),(270,1)}
       229:{2,3,5,6,7}:{(187,1),(188,1),(191,1),(270,1),(271,1),(273,1)}
       230:{1,5,6,7}:{(188,1),(192,1),(331,1)}
       231:{2,4,5,6}:{(189,1),(193,1),(254,1),(272,1),(330,1)}
       232:{3,5,7}:{(189,1),(190,1),(272,1)}
       233:{2,3,4,6,7}:{(190,1),(191,1),(195,1),(256,1),(270,1),(273,1),(274,1),(276,1),(380,1),(412,1)}
       234:{1,3,6,7}:{(191,1),(192,1),(196,1),(275,1)}
       235:{3,4,6}:{(193,1),(194,1),(272,1)}
       236:{2,3,4,5,7}:{(194,1),(195,1),(197,1),(259,1),(273,1),(276,1),(277,1),(382,1),(412,1),(425,1)}
       237:{1,3,4,7}:{(195,1),(196,1),(198,1),(260,1),(278,1),(335,1)}
       238:{2,5,7}:{(196,1),(199,1),(275,1),(278,1)}
       239:{1,3,4,5}:{(197,1),(198,1),(262,1),(279,1),(336,1)}
       240:{2,4,6}:{(198,1),(199,1),(278,1),(279,1),(280,1)}
       241:{3,5,6,7}:{(200,1),(203,1),(281,1),(285,1)}
       242:{2,5,6,7}:{(201,1),(204,1),(283,1),(295,1)}
       243:{2,4,5,7}:{(202,1),(213,1),(284,1),(285,1),(295,1)}
       244:{3,4,6,7}:{(202,1),(203,1),(207,1),(285,1),(288,1),(370,1),(406,1)}
       245:{2,3,6,7}:{(203,1),(204,1),(208,1),(287,1),(396,1)}
       246:{1,4,6,7}:{(204,1),(209,1),(283,1),(287,1)}
       247:{2,4,6}:{(205,1),(206,1),(216,1),(288,1)}
       248:{3,4,5,7}:{(206,1),(207,1),(210,1),(285,1),(288,1),(406,1),(423,1)}
       249:{2,3,4,7}:{(207,1),(208,1),(211,1),(218,1),(290,1),(316,1),(419,1)}
       250:{1,3,5,7}:{(208,1),(209,1),(212,1),(287,1),(290,1),(291,1)}
       251:{2,3,4,5}:{(210,1),(211,1),(220,1),(292,1),(317,1),(426,1)}
       252:{1,3,4,6}:{(211,1),(212,1),(221,1),(290,1),(292,1),(293,1),(302,1)}
       253:{2,5,6}:{(212,1),(291,1),(293,1)}
       254:{1,4,5,6}:{(213,1),(216,1),(231,1),(284,1),(294,1),(360,1)}
       255:{1,3,5,7}:{(213,1),(214,1),(232,1),(285,1),(294,1),(295,1)}
       256:{2,4,6,7}:{(214,1),(215,1),(218,1),(295,1),(296,1),(298,1)}
       257:{1,3,6,7}:{(215,1),(219,1),(296,1),(297,1),(303,1)}
       258:{1,3,4,6}:{(216,1),(217,1),(223,1),(235,1),(288,1),(294,1),(298,1)}
       259:{2,4,5,7}:{(217,1),(218,1),(220,1),(224,1),(295,1),(298,1),(299,1)}
       260:{1,4,7}:{(218,1),(219,1),(221,1)}
       261:{1,2,5,7}:{(219,1),(222,1),(238,1),(291,1),(297,1),(300,1)}
       262:{1,4,5}:{(220,1),(221,1),(226,1)}
       263:{1,2,4,6}:{(221,1),(222,1),(240,1),(293,1),(300,1),(301,1),(302,1)}
       264:{2,3,6}:{(223,1),(224,1),(298,1),(303,1)}
       265:{1,3,5,7}:{(224,1),(225,1),(226,1),(299,1),(303,1),(304,1)}
       266:{1,2,4,7}:{(225,1),(227,1),(304,1),(305,1)}
       267:{1,2,5}:{(226,1),(227,1)}
       268:{1,2,3,6}:{(227,1),(302,1),(305,1),(306,1)}
       269:{3,4,5,7}:{(228,1),(232,1),(307,1),(308,1),(419,1)}
       270:{2,4,6,7}:{(228,1),(229,1),(308,1),(309,1)}
       271:{1,3,5,6,7}:{(229,1),(230,1),(234,1),(309,1),(310,1),(312,1),(370,1)}
       272:{3,5,6}:{(231,1),(232,1),(235,1)}
       273:{2,3,5,7}:{(232,1),(233,1),(295,1),(308,1),(311,1),(312,1)}
       274:{1,3,4,6,7}:{(233,1),(234,1),(237,1),(296,1),(309,1),(312,1),(313,1),(314,1),(362,1),(370,1),(402,1),(406,1)}
       275:{2,6,7}:{(234,1),(238,1)}
       276:{2,3,4,6}:{(235,1),(236,1),(298,1),(311,1),(314,1),(399,1),(420,1)}
       277:{1,3,4,5,7}:{(236,1),(237,1),(239,1),(299,1),(312,1),(314,1),(315,1),(364,1),(402,1),(406,1),(422,1),(423,1)}
       278:{2,4,7}:{(237,1),(238,1),(240,1),(316,1)}
       279:{2,4,5}:{(239,1),(240,1),(317,1)}
       280:{2,3,6}:{(240,1),(302,1),(316,1),(317,1)}
       281:{3,4,6,7}:{(241,1),(318,1),(319,1)}
       282:{2,3,5,6,7}:{(241,1),(242,1),(245,1),(319,1),(320,1),(322,1)}
       283:{1,5,6,7}:{(242,1),(246,1),(331,1)}
       284:{2,4,5,6}:{(243,1),(247,1),(254,1),(321,1),(330,1)}
       285:{3,5,7}:{(243,1),(244,1),(321,1)}
       286:{2,3,4,6,7}:{(244,1),(245,1),(249,1),(256,1),(319,1),(322,1),(323,1),(325,1),(345,1),(392,1)}
       287:{1,3,6,7}:{(245,1),(246,1),(250,1),(324,1)}
       288:{3,4,6}:{(247,1),(248,1),(321,1)}
       289:{2,3,4,5,7}:{(248,1),(249,1),(251,1),(259,1),(322,1),(325,1),(326,1),(347,1),(392,1),(417,1)}
       290:{1,3,4,7}:{(249,1),(250,1),(252,1),(260,1),(327,1),(335,1)}
       291:{2,5,7}:{(250,1),(253,1),(324,1),(327,1)}
       292:{1,3,4,5}:{(251,1),(252,1),(262,1),(328,1),(336,1)}
       293:{2,4,6}:{(252,1),(253,1),(327,1),(328,1),(329,1)}
       294:{1,3,5,6}:{(254,1),(255,1),(258,1),(272,1),(321,1),(330,1)}
       295:{2,5,7}:{(255,1),(256,1),(330,1),(331,1)}
       296:{1,4,6,7}:{(256,1),(257,1),(260,1),(331,1),(333,1)}
       297:{1,2,6,7}:{(257,1),(261,1),(275,1),(324,1),(337,1)}
       298:{2,4,6}:{(258,1),(259,1),(264,1),(330,1),(333,1)}
       299:{1,4,5,7}:{(259,1),(260,1),(262,1),(265,1),(331,1),(333,1)}
       300:{1,2,4,7}:{(260,1),(261,1),(263,1),(278,1),(327,1),(335,1)}
       301:{1,2,4,5}:{(262,1),(263,1),(267,1),(279,1),(328,1),(336,1),(339,1)}
       302:{1,3,6}:{(263,1),(280,1),(329,1),(335,1),(336,1)}
       303:{1,3,6}:{(264,1),(265,1),(333,1),(337,1)}
       304:{1,2,5,7}:{(265,1),(266,1),(267,1),(337,1)}
       305:{1,2,3,7}:{(266,1),(268,1),(335,1)}
       306:{1,2,3,5}:{(267,1),(268,1),(336,1),(339,1)}
       307:{3,4,5,6}:{(269,1),(272,1),(340,1),(424,1)}
       308:{2,4,5,7}:{(269,1),(270,1),(273,1),(340,1),(341,1),(412,1)}
       309:{1,4,6,7}:{(270,1),(271,1),(341,1),(342,1)}
       310:{2,5,6,7}:{(271,1),(275,1),(342,1),(344,1)}
       311:{2,3,5,6}:{(272,1),(273,1),(276,1),(330,1),(340,1),(343,1)}
       312:{1,3,5,7}:{(273,1),(274,1),(331,1),(341,1),(343,1),(344,1),(390,1)}
       313:{2,4,6,7}:{(274,1),(275,1),(278,1),(344,1),(345,1),(346,1),(392,1)}
       314:{1,3,4,6}:{(276,1),(277,1),(333,1),(343,1),(346,1),(386,1),(414,1),(416,1)}
       315:{2,4,5,7}:{(277,1),(278,1),(279,1),(344,1),(346,1),(347,1),(392,1),(417,1)}
       316:{2,3,7}:{(278,1),(280,1),(335,1)}
       317:{2,3,5}:{(279,1),(280,1),(336,1),(348,1)}
       318:{3,4,5,7}:{(281,1),(285,1),(349,1),(350,1),(406,1)}
       319:{2,4,6,7}:{(281,1),(282,1),(350,1),(351,1)}
       320:{1,3,5,6,7}:{(282,1),(283,1),(287,1),(351,1),(352,1),(354,1),(396,1)}
       321:{3,5,6}:{(284,1),(285,1),(288,1)}
       322:{2,3,5,7}:{(285,1),(286,1),(295,1),(350,1),(353,1),(354,1)}
       323:{1,3,4,6,7}:{(286,1),(287,1),(290,1),(296,1),(351,1),(354,1),(355,1),(356,1),(362,1),(396,1),(402,1),(419,1)}
       324:{2,6,7}:{(287,1),(291,1)}
       325:{2,3,4,6}:{(288,1),(289,1),(298,1),(353,1),(356,1),(373,1),(407,1)}
       326:{1,3,4,5,7}:{(289,1),(290,1),(292,1),(299,1),(354,1),(356,1),(357,1),(364,1),(402,1),(419,1),(422,1),(426,1)}
       327:{2,4,7}:{(290,1),(291,1),(293,1),(358,1)}
       328:{2,4,5}:{(292,1),(293,1),(359,1)}
       329:{2,3,6}:{(293,1),(302,1),(358,1),(359,1)}
       330:{2,5,6}:{(294,1),(295,1),(298,1),(360,1)}
       331:{1,5,7}:{(295,1),(296,1),(360,1)}
       332:{1,2,4,6,7}:{(296,1),(297,1),(300,1),(313,1),(355,1),(361,1),(362,1),(363,1),(402,1)}
       333:{1,4,6}:{(298,1),(299,1),(303,1),(360,1)}
       334:{1,2,4,5,7}:{(299,1),(300,1),(301,1),(304,1),(315,1),(357,1),(361,1),(363,1),(364,1),(367,1),(402,1),(404,1),(422,1)}
       335:{1,3,7}:{(300,1),(302,1),(316,1),(358,1)}
       336:{1,3,5}:{(301,1),(302,1),(317,1),(359,1),(365,1)}
       337:{1,2,6}:{(303,1),(304,1)}
       338:{1,2,3,5,7}:{(304,1),(305,1),(306,1),(364,1),(366,1),(367,1),(404,1)}
       339:{1,2,4}:{(306,1),(365,1)}
       340:{2,4,5,6}:{(307,1),(308,1),(311,1),(368,1),(420,1)}
       341:{1,4,5,7}:{(308,1),(309,1),(312,1),(368,1),(369,1),(402,1)}
       342:{2,4,6,7}:{(309,1),(310,1),(369,1),(370,1)}
       343:{1,3,5,6}:{(311,1),(312,1),(314,1),(360,1),(368,1),(371,1),(405,1)}
       344:{2,5,7}:{(312,1),(313,1),(371,1)}
       345:{2,3,6,7}:{(313,1),(316,1),(362,1),(370,1),(372,1),(373,1)}
       346:{2,4,6}:{(314,1),(315,1),(371,1),(373,1)}
       347:{2,3,5,7}:{(315,1),(316,1),(317,1),(364,1),(373,1),(374,1),(408,1)}
       348:{2,3,4}:{(317,1),(365,1)}
       349:{3,4,5,6}:{(318,1),(321,1),(375,1),(416,1)}
       350:{2,4,5,7}:{(318,1),(319,1),(322,1),(375,1),(376,1),(392,1)}
       351:{1,4,6,7}:{(319,1),(320,1),(376,1),(377,1)}
       352:{2,5,6,7}:{(320,1),(324,1),(377,1),(379,1)}
       353:{2,3,5,6}:{(321,1),(322,1),(325,1),(330,1),(375,1),(378,1)}
       354:{1,3,5,7}:{(322,1),(323,1),(331,1),(376,1),(378,1),(379,1),(410,1)}
       355:{2,4,6,7}:{(323,1),(324,1),(327,1),(379,1),(380,1),(381,1),(412,1)}
       356:{1,3,4,6}:{(325,1),(326,1),(333,1),(378,1),(381,1),(386,1),(414,1),(424,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(379,1),(381,1),(382,1),(412,1),(425,1)}
       358:{2,3,7}:{(327,1),(329,1),(335,1)}
       359:{2,3,5}:{(328,1),(329,1),(336,1),(383,1)}
       360:{1,5,6}:{(330,1),(331,1),(333,1)}
       361:{1,2,5,7}:{(331,1),(332,1),(344,1),(379,1),(384,1),(385,1)}
       362:{1,3,6,7}:{(332,1),(335,1),(345,1),(380,1),(385,1),(386,1)}
       363:{1,2,4,6}:{(333,1),(334,1),(337,1),(346,1),(381,1),(384,1),(386,1),(414,1)}
       364:{1,3,5,7}:{(334,1),(335,1),(336,1),(347,1),(382,1),(386,1),(387,1),(415,1)}
       365:{1,3,4}:{(336,1),(339,1),(348,1),(383,1)}
       366:{1,2,3,6}:{(337,1),(338,1),(386,1),(388,1)}
       367:{1,2,4,7}:{(338,1),(339,1),(387,1),(388,1)}
       368:{1,4,5,6}:{(340,1),(341,1),(343,1),(389,1),(414,1)}
       369:{2,4,5,7}:{(341,1),(342,1),(344,1),(389,1),(390,1),(392,1)}
       370:{3,6,7}:{(342,1),(390,1)}
       371:{2,5,6}:{(343,1),(344,1),(346,1)}
       372:{2,3,5,7}:{(344,1),(345,1),(385,1),(390,1),(391,1),(392,1)}
       373:{2,3,6}:{(346,1),(347,1),(386,1)}
       374:{2,3,4,7}:{(347,1),(348,1),(387,1),(392,1),(393,1)}
       375:{2,4,5,6}:{(349,1),(350,1),(353,1),(394,1),(407,1)}
       376:{1,4,5,7}:{(350,1),(351,1),(354,1),(394,1),(395,1),(402,1)}
       377:{2,4,6,7}:{(351,1),(352,1),(395,1),(396,1)}
       378:{1,3,5,6}:{(353,1),(354,1),(356,1),(360,1),(394,1),(397,1),(418,1)}
       379:{2,5,7}:{(354,1),(355,1),(397,1)}
       380:{2,3,6,7}:{(355,1),(358,1),(362,1),(396,1),(398,1),(399,1)}
       381:{2,4,6}:{(356,1),(357,1),(397,1),(399,1)}
       382:{2,3,5,7}:{(357,1),(358,1),(359,1),(364,1),(399,1),(400,1),(421,1)}
       383:{2,3,4}:{(359,1),(365,1)}
       384:{1,2,5,6}:{(360,1),(361,1),(363,1),(371,1),(397,1),(401,1),(404,1)}
       385:{1,3,5,7}:{(361,1),(362,1),(372,1),(398,1),(401,1),(402,1)}
       386:{1,3,6}:{(363,1),(364,1),(373,1),(399,1)}
       387:{1,3,4,7}:{(364,1),(365,1),(367,1),(374,1),(400,1),(402,1),(403,1)}
       388:{1,2,4,6}:{(366,1),(367,1),(403,1),(404,1)}
       389:{2,4,5,6}:{(368,1),(369,1),(371,1),(405,1),(407,1)}
       390:{3,5,7}:{(369,1),(370,1),(405,1),(406,1)}
       391:{2,3,5,6}:{(371,1),(372,1),(373,1),(401,1),(405,1),(407,1),(408,1)}
       392:{2,4,7}:{(372,1),(402,1),(406,1),(407,1)}
       393:{2,3,4,6}:{(373,1),(374,1),(403,1),(407,1),(408,1)}
       394:{1,4,5,6}:{(375,1),(376,1),(378,1),(409,1),(414,1)}
       395:{2,4,5,7}:{(376,1),(377,1),(379,1),(409,1),(410,1),(412,1)}
       396:{3,6,7}:{(377,1),(410,1)}
       397:{2,5,6}:{(378,1),(379,1),(381,1)}
       398:{2,3,5,7}:{(379,1),(380,1),(385,1),(410,1),(411,1),(412,1)}
       399:{2,3,6}:{(381,1),(382,1),(386,1)}
       400:{2,3,4,7}:{(382,1),(383,1),(387,1),(412,1),(413,1)}
       401:{1,3,5,6}:{(384,1),(385,1),(386,1),(391,1),(411,1),(414,1),(415,1)}
       402:{1,4,7}:{(385,1),(392,1),(412,1),(414,1)}
       403:{1,3,4,6}:{(386,1),(387,1),(388,1),(393,1),(413,1),(414,1),(415,1)}
       404:{1,2,5}:{(388,1),(415,1)}
       405:{3,5,6}:{(389,1),(390,1),(416,1)}
       406:{3,4,7}:{(390,1),(392,1),(416,1)}
       407:{2,4,6}:{(391,1),(392,1),(414,1),(416,1),(417,1)}
       408:{2,3,5}:{(393,1),(415,1),(417,1)}
       409:{2,4,5,6}:{(394,1),(395,1),(397,1),(418,1),(420,1)}
       410:{3,5,7}:{(395,1),(396,1),(418,1),(419,1)}
       411:{2,3,5,6}:{(397,1),(398,1),(399,1),(401,1),(418,1),(420,1),(421,1)}
       412:{2,4,7}:{(398,1),(402,1),(419,1),(420,1)}
       413:{2,3,4,6}:{(399,1),(400,1),(403,1),(420,1),(421,1)}
       414:{1,4,6}:{(401,1),(402,1),(407,1),(420,1),(422,1)}
       415:{1,3,5}:{(403,1),(404,1),(408,1),(421,1),(422,1)}
       416:{3,4,6}:{(405,1),(406,1),(407,1),(423,1)}
       417:{2,4,5}:{(407,1),(408,1),(422,1),(423,1)}
       418:{3,5,6}:{(409,1),(410,1),(424,1)}
       419:{3,4,7}:{(410,1),(412,1),(424,1)}
       420:{2,4,6}:{(411,1),(412,1),(414,1),(424,1),(425,1)}
       421:{2,3,5}:{(413,1),(415,1),(425,1)}
       422:{1,4,5}:{(414,1),(415,1),(417,1),(425,1)}
       423:{3,4,5}:{(416,1),(417,1)}
       424:{3,4,6}:{(418,1),(419,1),(420,1),(426,1)}
       425:{2,4,5}:{(420,1),(421,1),(422,1),(426,1)}
       426:{3,4,5}:{(424,1),(425,1)}

2422 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2423 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(103,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(34,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(82,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(80,1),(128,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(66,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(60,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(142,1),(167,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(60,1),(109,1),(114,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(108,1),(147,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(82,1),(122,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(46,1),(94,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(86,1)}
        16:{1,2,3,7}:{(5,1),(35,1),(87,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(34,1),(36,1),(37,1),(82,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(38,1),(39,1),(128,1),(161,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(40,1),(156,1),(171,1)}
        21:{2,3,4,6}:{(9,1),(33,1),(41,1),(42,1),(46,1),(94,1),(97,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(38,1),(43,1),(44,1),(89,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(39,1),(44,1),(45,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(46,1)}
        25:{2,4,6}:{(10,1),(11,1),(43,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(44,1),(47,1),(87,1),(133,1),(136,1)}
        27:{3,4,5,6}:{(48,1),(49,1),(114,1),(153,1)}
        28:{2,3,5,6}:{(14,1),(48,1),(51,1),(52,1)}
        29:{2,3,4}:{(17,1),(53,1)}
        30:{2,4,5}:{(13,1),(53,1),(54,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(51,1),(54,1),(55,1),(60,1),(109,1),(142,1)}
        32:{2,3,4,7}:{(14,1),(52,1),(55,1),(71,1),(119,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(21,1),(50,1),(56,1),(57,1),(60,1),(109,1),(112,1)}
        34:{1,2,5}:{(15,1),(56,1)}
        35:{1,2,4,7}:{(15,1),(16,1),(57,1),(59,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(53,1),(60,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(54,1),(58,1),(60,1),(61,1),(109,1)}
        38:{1,4,5,6}:{(19,1),(22,1),(62,1),(63,1),(109,1),(151,1)}
        39:{2,4,5,7}:{(19,1),(20,1),(23,1),(63,1),(64,1),(147,1),(169,1)}
        40:{3,4,6,7}:{(20,1),(64,1),(65,1)}
        41:{2,3,5}:{(21,1),(56,1),(66,1)}
        42:{2,3,4,7}:{(21,1),(57,1),(68,1),(71,1),(119,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(26,1),(63,1),(69,1),(70,1),(116,1)}
        45:{2,3,6,7}:{(23,1),(64,1),(70,1)}
        46:{2,3,6}:{(24,1),(25,1),(60,1),(71,1)}
        47:{2,4,7}:{(25,1),(26,1),(69,1),(71,1)}
        48:{2,4,5,6}:{(27,1),(28,1),(72,1),(73,1),(94,1),(141,1)}
        49:{3,4,5,7}:{(27,1),(73,1),(74,1),(136,1),(163,1)}
        50:{2,3,4,6}:{(29,1),(33,1),(75,1),(76,1),(80,1),(128,1),(131,1)}
        51:{1,3,5,6}:{(28,1),(31,1),(72,1),(77,1),(78,1),(123,1)}
        52:{2,3,5,7}:{(28,1),(32,1),(73,1),(78,1),(79,1)}
        53:{2,3,5}:{(29,1),(30,1),(36,1),(80,1)}
        54:{2,4,6}:{(30,1),(31,1),(77,1),(80,1),(81,1)}
        55:{1,3,4,7}:{(31,1),(32,1),(78,1),(81,1),(87,1),(133,1),(156,1)}
        56:{1,3,5}:{(33,1),(34,1),(41,1),(75,1),(82,1)}
        57:{1,3,4,7}:{(33,1),(35,1),(42,1),(76,1),(84,1),(87,1),(133,1)}
        58:{1,2,5,6}:{(34,1),(37,1),(43,1),(77,1),(83,1),(85,1),(86,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(84,1),(86,1)}
        60:{1,3,6}:{(36,1),(37,1),(46,1),(80,1),(87,1)}
        61:{1,2,4,7}:{(37,1),(47,1),(81,1),(85,1),(87,1),(133,1)}
        62:{2,4,5,6}:{(38,1),(43,1),(89,1),(90,1),(94,1),(141,1),(164,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(44,1),(90,1),(91,1),(133,1),(162,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(45,1),(91,1),(92,1)}
        65:{3,5,6,7}:{(40,1),(92,1),(93,1),(171,1)}
        66:{2,4,5}:{(41,1),(82,1),(88,1),(94,1)}
        67:{2,3,5,6}:{(41,1),(43,1),(46,1),(83,1),(89,1),(94,1),(96,1),(97,1),(141,1)}
        68:{2,3,5,7}:{(41,1),(42,1),(84,1),(95,1),(97,1)}
        69:{2,5,7}:{(43,1),(44,1),(47,1),(98,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(91,1),(98,1),(138,1)}
        71:{2,3,7}:{(46,1),(47,1),(87,1)}
        72:{1,4,5,6}:{(48,1),(51,1),(99,1),(100,1),(109,1),(151,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(52,1),(100,1),(101,1),(119,1),(155,1)}
        74:{3,4,6,7}:{(49,1),(101,1),(102,1)}
        75:{2,3,5}:{(50,1),(56,1),(103,1)}
        76:{2,3,4,7}:{(50,1),(57,1),(105,1),(108,1),(147,1)}
        77:{2,5,6}:{(51,1),(54,1),(106,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(55,1),(100,1),(106,1),(107,1),(144,1)}
        79:{2,3,6,7}:{(52,1),(101,1),(107,1)}
        80:{2,3,6}:{(53,1),(54,1),(60,1),(108,1)}
        81:{2,4,7}:{(54,1),(55,1),(106,1),(108,1)}
        82:{1,4,5}:{(56,1),(66,1),(103,1),(109,1)}
        83:{1,3,5,6}:{(56,1),(58,1),(60,1),(67,1),(104,1),(109,1),(111,1),(112,1),(151,1)}
        84:{1,3,5,7}:{(56,1),(57,1),(59,1),(68,1),(105,1),(110,1),(112,1)}
        85:{1,2,5,7}:{(58,1),(61,1),(69,1),(106,1),(111,1),(113,1)}
        86:{1,2,6}:{(59,1),(112,1)}
        87:{1,3,7}:{(60,1),(61,1),(71,1),(108,1)}
        88:{3,4,5}:{(66,1),(114,1)}
        89:{3,5,6}:{(62,1),(114,1),(116,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(69,1),(116,1),(117,1),(119,1),(155,1),(170,1)}
        91:{1,4,6,7}:{(63,1),(64,1),(70,1),(117,1),(118,1)}
        92:{2,5,6,7}:{(64,1),(65,1),(118,1),(169,1)}
        93:{4,5,6,7}:{(65,1),(174,1)}
        94:{2,4,6}:{(66,1),(67,1),(109,1),(114,1),(119,1)}
        95:{2,4,5,7}:{(66,1),(68,1),(110,1),(115,1),(119,1),(120,1),(155,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(111,1),(116,1),(119,1),(121,1),(155,1)}
        97:{2,3,6}:{(68,1),(112,1),(120,1)}
        98:{2,6,7}:{(69,1),(70,1)}
        99:{2,4,5,6}:{(72,1),(77,1),(123,1),(124,1),(128,1),(161,1),(172,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(78,1),(124,1),(125,1),(133,1),(162,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(79,1),(125,1),(126,1)}
       102:{3,5,6,7}:{(74,1),(126,1),(127,1),(163,1)}
       103:{2,4,5}:{(75,1),(82,1),(122,1),(128,1)}
       104:{2,3,5,6}:{(75,1),(77,1),(80,1),(83,1),(123,1),(128,1),(130,1),(131,1),(161,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1)}
       106:{2,5,7}:{(77,1),(78,1),(81,1),(132,1)}
       107:{1,3,6,7}:{(78,1),(79,1),(125,1),(132,1),(158,1)}
       108:{2,3,7}:{(80,1),(81,1),(87,1)}
       109:{1,4,6}:{(82,1),(83,1),(94,1),(128,1),(133,1)}
       110:{1,4,5,7}:{(82,1),(84,1),(95,1),(129,1),(133,1),(134,1),(162,1)}
       111:{1,3,5,7}:{(83,1),(85,1),(87,1),(96,1),(130,1),(133,1),(135,1),(162,1)}
       112:{1,3,6}:{(84,1),(86,1),(97,1),(131,1),(134,1)}
       113:{1,2,6,7}:{(85,1),(86,1),(98,1),(132,1),(135,1)}
       114:{3,4,6}:{(88,1),(89,1),(94,1),(136,1)}
       115:{3,4,5,7}:{(88,1),(95,1),(136,1),(137,1),(163,1)}
       116:{3,5,7}:{(89,1),(90,1),(136,1),(138,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(98,1),(138,1),(139,1),(165,1)}
       118:{1,5,6,7}:{(91,1),(92,1),(139,1),(162,1)}
       119:{2,4,7}:{(94,1),(96,1),(133,1),(136,1)}
       120:{2,4,6}:{(95,1),(97,1),(134,1),(137,1),(141,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(98,1),(135,1),(138,1),(140,1)}
       122:{3,4,5}:{(103,1),(142,1)}
       123:{3,5,6}:{(99,1),(142,1),(144,1)}
       124:{2,4,5,7}:{(99,1),(100,1),(106,1),(144,1),(145,1),(147,1),(169,1),(174,1)}
       125:{1,4,6,7}:{(100,1),(101,1),(107,1),(145,1),(146,1)}
       126:{2,5,6,7}:{(101,1),(102,1),(146,1),(155,1)}
       127:{4,5,6,7}:{(102,1),(170,1)}
       128:{2,4,6}:{(103,1),(104,1),(109,1),(142,1),(147,1)}
       129:{2,4,5,7}:{(103,1),(105,1),(110,1),(143,1),(147,1),(148,1),(169,1)}
       130:{2,3,5,7}:{(104,1),(106,1),(108,1),(111,1),(144,1),(147,1),(149,1),(169,1)}
       131:{2,3,6}:{(105,1),(112,1),(148,1)}
       132:{2,6,7}:{(106,1),(107,1)}
       133:{1,4,7}:{(109,1),(111,1),(119,1),(147,1)}
       134:{1,4,6}:{(110,1),(112,1),(120,1),(148,1),(151,1)}
       135:{1,3,6,7}:{(111,1),(112,1),(113,1),(121,1),(149,1),(150,1)}
       136:{3,4,7}:{(114,1),(116,1),(119,1)}
       137:{3,4,6}:{(115,1),(120,1),(153,1)}
       138:{3,6,7}:{(116,1),(117,1)}
       139:{2,5,6,7}:{(117,1),(118,1),(154,1),(155,1)}
       140:{2,4,6,7}:{(119,1),(120,1),(121,1),(150,1),(152,1),(155,1)}
       141:{2,5,6}:{(120,1),(151,1),(153,1),(155,1)}
       142:{3,4,6}:{(122,1),(123,1),(128,1),(156,1)}
       143:{3,4,5,7}:{(122,1),(129,1),(156,1),(157,1),(171,1)}
       144:{3,5,7}:{(123,1),(124,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(124,1),(125,1),(132,1),(158,1),(159,1),(173,1)}
       146:{1,5,6,7}:{(125,1),(126,1),(159,1),(162,1)}
       147:{2,4,7}:{(128,1),(130,1),(133,1),(156,1)}
       148:{2,4,6}:{(129,1),(131,1),(134,1),(157,1),(161,1)}
       149:{2,3,6,7}:{(130,1),(131,1),(132,1),(135,1),(158,1),(160,1)}
       150:{1,4,6,7}:{(133,1),(134,1),(135,1),(140,1),(160,1),(162,1)}
       151:{1,5,6}:{(134,1),(141,1),(161,1),(162,1)}
       152:{3,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(163,1),(165,1)}
       153:{3,5,6}:{(137,1),(141,1),(163,1),(164,1)}
       154:{3,5,6,7}:{(138,1),(139,1),(163,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(163,1)}
       156:{3,4,7}:{(142,1),(144,1),(147,1)}
       157:{3,4,6}:{(143,1),(148,1),(167,1)}
       158:{3,6,7}:{(144,1),(145,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(168,1),(169,1)}
       160:{2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(166,1),(169,1)}
       161:{2,5,6}:{(148,1),(151,1),(167,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{3,5,7}:{(152,1),(153,1),(155,1),(170,1)}
       164:{4,5,6}:{(153,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(171,1),(173,1)}
       167:{3,5,6}:{(157,1),(161,1),(171,1),(172,1)}
       168:{3,5,6,7}:{(158,1),(159,1),(171,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(171,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{3,5,7}:{(166,1),(167,1),(169,1),(174,1)}
       172:{4,5,6}:{(167,1),(174,1)}
       173:{4,6,7}:{(168,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2424 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(61,1),(63,1),(148,1),(149,1),(231,1),(237,1),(255,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(41,1),(42,1),(87,1),(98,1),(184,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(42,1),(48,1),(99,1),(111,1),(116,1),(200,1),(214,1),(217,1),(286,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(103,1),(202,1),(282,1),(289,1)}
         4:{2,4,5,6,7}:{(14,1),(15,1),(57,1),(58,1),(232,1),(329,1)}
         5:{1,2,3,6}:{(1,1),(18,1),(73,1),(236,1)}
         6:{1,2,4,7}:{(1,1),(18,1),(19,1),(144,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(253,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(332,1)}
         9:{2,3,4,7}:{(19,1),(23,1),(26,1),(145,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(146,1),(168,1),(252,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(73,1),(161,1),(165,1),(330,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(58,1),(133,1),(148,1),(152,1),(255,1),(328,1),(333,1)}
        13:{1,2,3,6,7}:{(5,1),(30,1),(31,1),(87,1),(115,1),(170,1),(188,1),(288,1),(290,1),(360,1)}
        14:{1,4,5,6,7}:{(4,1),(29,1),(32,1),(93,1),(94,1),(179,1),(293,1)}
        15:{3,5,6,7}:{(4,1),(33,1),(283,1),(363,1)}
        16:{1,2,3,5,6}:{(5,1),(30,1),(37,1),(41,1),(92,1),(98,1),(108,1),(112,1),(170,1),(188,1),(207,1),(209,1),(269,1),(298,1),(351,1)}
        17:{1,3,4,5,6}:{(7,1),(38,1),(39,1),(44,1),(82,1),(106,1),(117,1),(172,1),(211,1),(274,1),(291,1)}
        18:{1,2,4,6}:{(5,1),(6,1),(40,1),(41,1)}
        19:{1,3,4,7}:{(6,1),(9,1),(36,1),(40,1),(42,1),(196,1),(214,1)}
        20:{1,2,4,5,7}:{(6,1),(10,1),(41,1),(42,1),(43,1),(102,1),(111,1),(113,1),(184,1),(197,1),(214,1),(286,1),(299,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(202,1)}
        22:{3,4,5,7}:{(7,1),(33,1),(45,1),(303,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(40,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(365,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(367,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(42,1),(46,1),(50,1),(198,1),(301,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(94,1),(115,1),(186,1),(193,1),(200,1),(214,1),(217,1),(366,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(57,1),(128,1),(141,1),(246,1)}
        30:{1,2,3,5,7}:{(13,1),(16,1),(53,1),(56,1),(134,1),(162,1),(259,1),(261,1),(340,1),(380,1)}
        31:{1,2,4,6,7}:{(13,1),(18,1),(53,1),(55,1),(56,1),(131,1),(135,1),(220,1),(236,1),(333,1)}
        32:{1,3,5,6,7}:{(14,1),(15,1),(52,1),(54,1),(57,1),(334,1)}
        33:{3,4,6,7}:{(15,1),(22,1),(58,1)}
        34:{2,3,4,6,7}:{(23,1),(55,1),(59,1),(81,1),(132,1),(142,1),(168,1),(238,1),(245,1),(313,1),(333,1),(385,1),(413,1)}
        35:{2,3,5,6,7}:{(15,1),(25,1),(57,1),(58,1),(60,1),(133,1)}
        36:{2,3,4,7}:{(19,1),(62,1),(63,1),(247,1),(255,1)}
        37:{1,2,4,6}:{(16,1),(53,1),(66,1),(67,1),(144,1),(161,1),(260,1),(379,1)}
        38:{2,4,5,6}:{(17,1),(65,1),(68,1),(69,1),(156,1),(260,1),(332,1)}
        39:{1,3,4,5,7}:{(17,1),(22,1),(54,1),(69,1),(76,1),(124,1),(157,1),(166,1),(225,1),(263,1),(320,1),(334,1)}
        40:{1,3,4,6}:{(18,1),(19,1),(23,1),(62,1),(70,1),(73,1),(161,1)}
        41:{1,2,5}:{(18,1),(70,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(26,1),(63,1),(70,1),(73,1),(248,1),(340,1)}
        43:{1,2,4,6}:{(20,1),(27,1),(71,1),(73,1),(151,1),(161,1),(236,1),(330,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(161,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(58,1),(76,1),(255,1)}
        46:{2,3,5}:{(23,1),(70,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(390,1)}
        49:{2,3,4,5,7}:{(26,1),(72,1),(77,1),(80,1),(140,1),(168,1),(169,1),(237,1),(250,1),(342,1)}
        50:{2,3,6}:{(26,1),(27,1),(73,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(239,1),(252,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(193,1),(294,1)}
        53:{1,2,4,7}:{(30,1),(37,1),(88,1),(214,1),(309,1),(401,1)}
        54:{1,3,4,6,7}:{(32,1),(33,1),(39,1),(84,1),(90,1),(94,1),(179,1),(186,1),(193,1),(283,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(40,1),(85,1),(88,1),(91,1),(115,1),(183,1),(188,1),(190,1),(214,1),(268,1),(287,1),(360,1),(366,1),(401,1)}
        56:{1,2,5,7}:{(31,1),(41,1),(91,1),(92,1),(269,1),(367,1)}
        57:{2,5,6,7}:{(32,1),(90,1),(93,1),(367,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(45,1),(94,1)}
        59:{2,3,5,7}:{(34,1),(46,1),(91,1),(95,1),(96,1),(294,1),(349,1),(367,1)}
        60:{1,3,5,6,7}:{(35,1),(48,1),(93,1),(94,1),(97,1),(186,1),(193,1)}
        61:{2,3,4,5}:{(99,1),(100,1),(116,1),(208,1),(273,1),(296,1)}
        62:{2,3,4,6}:{(36,1),(40,1),(101,1),(103,1),(202,1)}
        63:{2,3,5,7}:{(36,1),(42,1),(101,1),(102,1),(103,1),(296,1),(370,1)}
        64:{1,2,3,6}:{(87,1),(98,1),(104,1),(298,1)}
        65:{2,3,5,6}:{(38,1),(100,1),(106,1),(107,1),(117,1),(274,1)}
        66:{1,3,4,6}:{(37,1),(88,1),(105,1),(108,1),(188,1),(196,1),(298,1)}
        67:{1,2,4,5}:{(37,1),(41,1),(108,1),(111,1),(208,1),(269,1),(350,1)}
        68:{1,4,5,6}:{(38,1),(106,1),(110,1),(306,1),(365,1)}
        69:{2,4,5,7}:{(38,1),(39,1),(90,1),(107,1),(110,1),(210,1),(309,1),(367,1)}
        70:{1,3,5}:{(40,1),(41,1),(46,1),(101,1),(111,1)}
        71:{1,2,5,6}:{(41,1),(43,1),(47,1),(112,1),(113,1),(204,1),(365,1)}
        72:{1,3,4,5,7}:{(42,1),(49,1),(102,1),(111,1),(114,1),(201,1),(214,1),(215,1),(286,1),(297,1),(303,1),(372,1)}
        73:{1,3,6}:{(42,1),(43,1),(50,1),(103,1)}
        74:{1,2,4,6,7}:{(43,1),(51,1),(113,1),(115,1),(205,1),(214,1),(288,1),(299,1),(366,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(94,1),(118,1),(214,1)}
        77:{2,4,5}:{(46,1),(111,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(112,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(114,1),(119,1),(121,1),(192,1),(289,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(115,1),(120,1),(193,1),(301,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(244,1),(411,1)}
        83:{2,3,4,5,7}:{(61,1),(126,1),(127,1),(140,1),(148,1),(223,1),(237,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(55,1),(62,1),(129,1),(132,1),(152,1),(221,1),(233,1),(238,1),(255,1),(326,1),(328,1),(333,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(57,1),(128,1),(130,1),(133,1),(223,1)}
        87:{1,2,3,7}:{(64,1),(131,1),(340,1)}
        88:{1,3,4,7}:{(53,1),(66,1),(132,1),(134,1),(340,1)}
        89:{1,2,4,5,7}:{(53,1),(56,1),(67,1),(134,1),(135,1),(137,1),(237,1)}
        90:{2,4,6,7}:{(54,1),(57,1),(69,1),(133,1),(136,1),(239,1)}
        91:{1,3,5,7}:{(55,1),(56,1),(59,1),(70,1),(129,1),(137,1),(138,1),(314,1),(390,1)}
        92:{1,2,5,6}:{(56,1),(135,1),(138,1),(236,1),(332,1)}
        93:{1,5,6,7}:{(57,1),(136,1),(390,1)}
        94:{1,4,6,7}:{(58,1),(60,1),(76,1),(141,1)}
        95:{2,4,5,7}:{(59,1),(77,1),(137,1),(140,1),(142,1),(168,1),(377,1),(413,1)}
        96:{2,3,5,6}:{(59,1),(138,1),(142,1),(238,1),(244,1),(332,1)}
        97:{2,5,6,7}:{(60,1),(79,1),(141,1),(239,1)}
        98:{1,2,3,5}:{(64,1),(144,1),(154,1),(248,1)}
        99:{1,3,4,5}:{(61,1),(146,1),(147,1),(248,1),(257,1)}
       100:{2,3,4,6}:{(61,1),(65,1),(147,1),(148,1),(165,1),(260,1),(319,1),(338,1)}
       101:{2,3,5}:{(62,1),(70,1),(149,1)}
       102:{2,4,5,7}:{(63,1),(72,1),(149,1),(151,1),(255,1),(256,1),(337,1),(393,1)}
       103:{2,3,6}:{(63,1),(73,1),(151,1)}
       104:{1,2,4,6}:{(64,1),(131,1),(144,1),(153,1),(154,1),(236,1)}
       105:{2,3,4,6}:{(66,1),(132,1),(145,1),(153,1),(155,1),(238,1),(247,1),(251,1),(260,1),(338,1)}
       106:{1,3,5,6}:{(65,1),(68,1),(147,1),(156,1),(157,1)}
       107:{2,3,5,7}:{(65,1),(69,1),(133,1),(148,1),(157,1),(166,1),(320,1)}
       108:{1,3,5}:{(66,1),(67,1),(155,1)}
       109:{1,2,4,5,6}:{(67,1),(68,1),(71,1),(75,1),(135,1),(156,1),(159,1),(160,1),(161,1),(224,1),(242,1),(249,1),(254,1),(260,1),(315,1),(332,1),(345,1),(379,1),(392,1),(412,1)}
       110:{1,4,5,7}:{(68,1),(69,1),(136,1),(157,1),(346,1),(390,1)}
       111:{1,4,5}:{(70,1),(77,1),(149,1),(161,1)}
       112:{1,3,5,6}:{(70,1),(71,1),(73,1),(78,1),(150,1),(161,1),(162,1)}
       113:{1,2,5,7}:{(71,1),(74,1),(79,1),(162,1),(256,1),(390,1)}
       114:{1,3,4,6}:{(72,1),(73,1),(80,1),(151,1),(161,1),(163,1),(253,1),(330,1)}
       115:{1,3,6,7}:{(73,1),(74,1),(81,1),(152,1),(162,1),(340,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(141,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(161,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(162,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(163,1),(167,1),(169,1),(244,1),(332,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(164,1),(168,1),(169,1),(245,1),(267,1),(333,1),(342,1),(395,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(294,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(98,1),(170,1),(174,1),(184,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(99,1),(176,1),(177,1),(200,1),(272,1),(273,1),(277,1),(286,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(192,1),(289,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(91,1),(101,1),(180,1),(181,1),(270,1),(363,1),(367,1)}
       130:{1,3,5,6,7}:{(86,1),(93,1),(179,1),(182,1),(186,1),(272,1),(283,1)}
       131:{1,2,4,7}:{(87,1),(104,1),(183,1),(184,1)}
       132:{2,3,4,7}:{(88,1),(105,1),(183,1),(185,1),(301,1),(309,1),(370,1)}
       133:{2,3,6,7}:{(90,1),(107,1),(186,1),(193,1),(283,1)}
       134:{1,3,5,7}:{(88,1),(89,1),(108,1),(185,1),(188,1)}
       135:{1,2,4,6}:{(89,1),(92,1),(188,1),(190,1),(289,1)}
       136:{1,4,6,7}:{(90,1),(93,1),(110,1),(186,1)}
       137:{1,4,5,7}:{(91,1),(95,1),(111,1),(180,1),(190,1),(214,1),(350,1),(401,1)}
       138:{1,3,5,6}:{(91,1),(92,1),(96,1),(181,1),(188,1),(190,1),(287,1),(365,1)}
       139:{1,2,5,6,7}:{(92,1),(93,1),(97,1),(113,1),(182,1),(189,1),(191,1),(288,1),(305,1),(352,1),(367,1),(408,1),(423,1)}
       140:{3,4,5,7}:{(95,1),(116,1),(192,1),(217,1),(294,1),(397,1),(420,1)}
       141:{2,4,6,7}:{(94,1),(97,1),(118,1),(193,1)}
       142:{2,4,6}:{(95,1),(96,1),(190,1),(192,1)}
       143:{2,3,5,6,7}:{(96,1),(97,1),(120,1),(191,1),(193,1),(195,1),(290,1),(294,1),(367,1),(399,1),(423,1),(426,1)}
       144:{1,2,4}:{(98,1),(196,1)}
       145:{2,3,4}:{(196,1),(198,1)}
       146:{2,4,5}:{(99,1),(198,1),(199,1)}
       147:{1,3,4,6}:{(99,1),(100,1),(106,1),(199,1),(200,1),(298,1),(306,1)}
       148:{2,3,4,7}:{(100,1),(107,1),(200,1),(217,1),(309,1),(356,1),(370,1)}
       149:{2,4,5}:{(101,1),(111,1),(201,1),(202,1)}
       150:{2,3,5,6}:{(101,1),(103,1),(112,1),(202,1),(203,1),(204,1),(302,1)}
       151:{2,4,6}:{(102,1),(103,1),(114,1),(204,1)}
       152:{2,3,6,7}:{(103,1),(115,1),(203,1),(205,1),(370,1),(374,1)}
       153:{1,3,4,6}:{(104,1),(105,1),(183,1),(196,1),(206,1),(287,1),(298,1),(306,1)}
       154:{1,2,5}:{(104,1),(206,1)}
       155:{2,3,5}:{(105,1),(108,1),(206,1),(208,1)}
       156:{2,5,6}:{(106,1),(199,1),(210,1)}
       157:{1,3,5,7}:{(106,1),(107,1),(110,1),(186,1),(200,1),(210,1)}
       158:{1,3,4,5}:{(108,1),(111,1),(116,1),(201,1),(208,1),(211,1),(273,1),(350,1),(397,1)}
       159:{1,3,5,6}:{(108,1),(109,1),(117,1),(188,1),(209,1),(211,1),(212,1),(274,1),(298,1),(302,1),(419,1)}
       160:{1,2,4,5,7}:{(109,1),(110,1),(113,1),(118,1),(189,1),(210,1),(212,1),(214,1),(275,1),(293,1),(299,1),(304,1),(309,1),(352,1),(367,1),(375,1),(401,1),(409,1),(421,1)}
       161:{1,4,6}:{(111,1),(112,1),(119,1),(202,1),(214,1)}
       162:{1,3,5,7}:{(112,1),(113,1),(115,1),(120,1),(203,1),(214,1)}
       163:{1,3,5,6}:{(114,1),(121,1),(204,1),(213,1),(215,1),(302,1),(365,1)}
       164:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(205,1),(214,1),(215,1),(303,1),(311,1),(366,1),(372,1),(374,1),(410,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(193,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(213,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(214,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(215,1),(218,1),(294,1),(367,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(236,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(244,1),(332,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(144,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(145,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(146,1),(228,1),(229,1),(252,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(330,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(133,1),(148,1),(223,1),(230,1),(245,1),(333,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(137,1),(149,1),(231,1),(233,1),(255,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(138,1),(233,1),(238,1),(327,1),(332,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(239,1),(318,1)}
       183:{1,3,4,7}:{(131,1),(132,1),(153,1),(235,1),(340,1),(346,1)}
       184:{1,2,5,7}:{(131,1),(154,1),(235,1),(236,1)}
       185:{2,3,5,7}:{(132,1),(134,1),(155,1),(235,1),(237,1),(238,1)}
       186:{1,3,6,7}:{(133,1),(136,1),(157,1),(239,1)}
       187:{1,3,4,5,7}:{(134,1),(137,1),(140,1),(158,1),(231,1),(237,1),(240,1),(263,1),(334,1)}
       188:{1,3,6}:{(134,1),(135,1),(238,1)}
       189:{1,2,4,6,7}:{(135,1),(136,1),(139,1),(141,1),(160,1),(232,1),(239,1),(241,1),(243,1),(333,1),(344,1),(396,1),(418,1),(425,1)}
       190:{1,4,6}:{(137,1),(138,1),(142,1),(233,1)}
       191:{1,3,5,6,7}:{(138,1),(139,1),(143,1),(162,1),(234,1),(241,1),(243,1),(331,1),(334,1),(380,1),(390,1)}
       192:{3,4,6}:{(140,1),(142,1),(244,1)}
       193:{3,6,7}:{(141,1),(166,1)}
       194:{2,4,5,6}:{(142,1),(242,1),(244,1),(246,1),(332,1)}
       195:{2,4,6,7}:{(142,1),(143,1),(168,1),(243,1),(245,1),(246,1),(413,1)}
       196:{1,3,4}:{(144,1),(145,1),(247,1),(248,1)}
       197:{1,2,4,5}:{(144,1),(146,1),(154,1),(248,1),(249,1),(257,1),(337,1)}
       198:{2,3,5}:{(145,1),(146,1),(248,1),(251,1)}
       199:{2,4,6}:{(146,1),(147,1),(156,1),(251,1),(252,1)}
       200:{1,3,4,7}:{(147,1),(148,1),(157,1),(252,1),(340,1),(346,1)}
       201:{3,4,5}:{(149,1),(253,1)}
       202:{2,4,6}:{(149,1),(150,1),(161,1),(253,1),(255,1)}
       203:{2,3,5,7}:{(150,1),(152,1),(162,1),(255,1),(256,1),(343,1)}
       204:{2,5,6}:{(151,1),(163,1),(256,1)}
       205:{2,4,6,7}:{(151,1),(152,1),(164,1),(255,1),(256,1),(393,1),(418,1)}
       206:{1,3,5}:{(153,1),(154,1),(155,1),(257,1)}
       207:{1,2,5,6}:{(154,1),(156,1),(236,1),(249,1),(258,1),(259,1),(392,1)}
       208:{2,4,5}:{(155,1),(158,1),(257,1),(260,1)}
       209:{2,3,5,6}:{(155,1),(156,1),(159,1),(238,1),(251,1),(258,1),(260,1),(261,1),(332,1),(338,1),(392,1)}
       210:{2,5,7}:{(156,1),(157,1),(239,1),(252,1)}
       211:{1,3,4,6}:{(158,1),(159,1),(161,1),(165,1),(253,1),(260,1),(263,1),(319,1),(379,1),(411,1)}
       212:{1,3,5,7}:{(159,1),(160,1),(166,1),(241,1),(261,1),(263,1),(320,1),(340,1),(343,1),(424,1)}
       213:{1,4,5,6}:{(161,1),(163,1),(167,1),(254,1),(264,1)}
       214:{1,4,7}:{(161,1),(162,1),(168,1),(255,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(169,1),(256,1),(264,1),(343,1),(390,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(244,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(264,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(265,1),(267,1),(336,1),(391,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(365,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(294,1),(367,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(196,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(197,1),(269,1),(277,1),(278,1),(286,1),(299,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(198,1),(270,1),(277,1),(280,1),(301,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(186,1),(200,1),(272,1),(281,1),(283,1),(356,1),(360,1),(366,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(201,1),(273,1),(282,1),(303,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(190,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(191,1),(203,1),(283,1),(285,1),(290,1),(305,1),(354,1),(363,1),(367,1),(374,1)}
       235:{1,3,5,7}:{(183,1),(184,1),(185,1),(206,1),(286,1),(287,1)}
       236:{1,2,6}:{(184,1),(287,1)}
       237:{2,4,5,7}:{(185,1),(187,1),(208,1),(286,1),(289,1),(309,1),(367,1)}
       238:{2,3,6}:{(185,1),(188,1),(287,1),(289,1)}
       239:{2,6,7}:{(186,1),(210,1)}
       240:{1,3,4,6}:{(187,1),(188,1),(190,1),(192,1),(282,1),(289,1),(291,1)}
       241:{1,3,6,7}:{(188,1),(189,1),(193,1),(212,1),(283,1),(290,1),(374,1),(426,1)}
       242:{1,4,5,6}:{(190,1),(194,1),(284,1),(291,1),(293,1),(365,1)}
       243:{1,4,6,7}:{(190,1),(191,1),(195,1),(214,1),(285,1),(293,1),(401,1)}
       244:{3,5,6}:{(192,1),(194,1),(294,1)}
       245:{3,4,6,7}:{(192,1),(193,1),(195,1),(217,1),(294,1),(420,1),(426,1)}
       246:{2,4,5,7}:{(194,1),(195,1),(293,1),(294,1),(367,1)}
       247:{2,3,4}:{(196,1),(296,1)}
       248:{1,3,5}:{(196,1),(197,1),(198,1),(296,1),(298,1)}
       249:{1,2,4,6}:{(197,1),(199,1),(207,1),(298,1),(299,1),(306,1),(369,1)}
       250:{2,3,4,5}:{(198,1),(201,1),(208,1),(297,1),(300,1),(397,1)}
       251:{2,3,6}:{(198,1),(199,1),(298,1),(301,1)}
       252:{2,4,7}:{(199,1),(200,1),(210,1),(301,1)}
       253:{3,4,6}:{(201,1),(202,1),(302,1),(303,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(213,1),(302,1),(304,1)}
       255:{2,4,7}:{(202,1),(203,1),(214,1),(303,1)}
       256:{2,5,7}:{(204,1),(205,1),(215,1)}
       257:{1,4,5}:{(206,1),(208,1),(306,1)}
       258:{1,3,5,6}:{(206,1),(207,1),(209,1),(287,1),(298,1),(306,1),(307,1),(365,1)}
       259:{1,2,5,7}:{(207,1),(210,1),(288,1),(299,1),(307,1),(409,1)}
       260:{2,4,6}:{(208,1),(209,1),(211,1),(306,1),(309,1)}
       261:{2,3,5,7}:{(209,1),(210,1),(212,1),(290,1),(301,1),(307,1),(309,1),(367,1),(370,1),(409,1)}
       262:{1,3,4,5,6}:{(211,1),(213,1),(216,1),(291,1),(302,1),(308,1),(310,1),(355,1),(371,1),(400,1),(419,1)}
       263:{1,3,4,7}:{(211,1),(212,1),(214,1),(217,1),(303,1),(309,1),(356,1),(401,1),(420,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(215,1),(218,1),(304,1),(311,1)}
       265:{1,3,5,6,7}:{(215,1),(219,1),(305,1),(311,1),(374,1),(408,1),(410,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(294,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(311,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(390,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(247,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(248,1),(314,1),(321,1),(323,1),(340,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(236,1),(315,1),(323,1),(330,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(237,1),(250,1),(316,1),(322,1),(325,1),(342,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(239,1),(252,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(242,1),(327,1),(329,1),(332,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(255,1),(328,1),(329,1),(382,1)}
       286:{1,4,5,7}:{(235,1),(237,1),(257,1),(330,1),(346,1),(390,1)}
       287:{1,3,6}:{(235,1),(236,1),(238,1),(330,1)}
       288:{1,2,6,7}:{(236,1),(239,1),(259,1),(331,1),(418,1)}
       289:{2,4,6}:{(237,1),(238,1),(240,1),(330,1),(332,1)}
       290:{2,3,6,7}:{(238,1),(239,1),(241,1),(261,1),(331,1),(333,1),(418,1)}
       291:{1,3,5,6}:{(240,1),(242,1),(244,1),(327,1),(332,1),(334,1)}
       292:{1,3,4,6,7}:{(240,1),(241,1),(243,1),(245,1),(263,1),(328,1),(333,1),(334,1)}
       293:{1,4,5,7}:{(242,1),(243,1),(246,1),(329,1),(334,1),(390,1)}
       294:{3,5,7}:{(244,1),(245,1),(246,1)}
       295:{2,4,5,6,7}:{(246,1),(267,1),(335,1),(336,1),(391,1),(425,1)}
       296:{2,3,5}:{(247,1),(248,1),(337,1),(338,1)}
       297:{1,3,4,5}:{(248,1),(250,1),(257,1),(337,1),(339,1)}
       298:{1,3,6}:{(248,1),(249,1),(251,1),(338,1),(340,1)}
       299:{1,2,4,7}:{(249,1),(252,1),(259,1),(340,1),(346,1),(393,1)}
       300:{2,3,4,6}:{(250,1),(251,1),(253,1),(260,1),(339,1),(341,1),(342,1),(411,1)}
       301:{2,3,7}:{(251,1),(252,1),(340,1)}
       302:{3,5,6}:{(253,1),(254,1),(343,1)}
       303:{3,4,7}:{(253,1),(255,1),(343,1)}
       304:{2,4,5,7}:{(254,1),(255,1),(256,1),(264,1),(343,1),(344,1)}
       305:{2,5,6,7}:{(256,1),(265,1),(344,1),(418,1)}
       306:{1,4,6}:{(257,1),(258,1),(260,1),(346,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(331,1),(340,1),(346,1),(390,1)}
       308:{2,4,5,6}:{(260,1),(262,1),(332,1),(341,1),(345,1),(347,1),(392,1)}
       309:{2,4,7}:{(260,1),(261,1),(263,1),(346,1)}
       310:{1,3,4,5,7}:{(262,1),(263,1),(264,1),(266,1),(334,1),(343,1),(347,1),(348,1),(383,1),(394,1),(414,1),(424,1)}
       311:{1,4,6,7}:{(264,1),(265,1),(267,1),(344,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(336,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(365,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(296,1),(349,1),(357,1),(358,1),(370,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(286,1),(297,1),(350,1),(357,1),(359,1),(372,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(288,1),(299,1),(352,1),(360,1),(366,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(289,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(301,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(303,1),(356,1),(363,1),(374,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(293,1),(363,1),(367,1)}
       330:{1,4,6}:{(286,1),(287,1),(289,1),(365,1)}
       331:{1,3,6,7}:{(287,1),(288,1),(290,1),(307,1),(366,1)}
       332:{2,5,6}:{(289,1),(291,1),(365,1),(367,1)}
       333:{2,4,6,7}:{(289,1),(290,1),(292,1),(309,1),(366,1),(367,1)}
       334:{1,3,5,7}:{(291,1),(292,1),(293,1),(294,1),(363,1),(367,1)}
       335:{1,4,5,6,7}:{(293,1),(295,1),(311,1),(364,1),(368,1),(408,1),(422,1)}
       336:{3,5,6,7}:{(294,1),(295,1),(312,1),(426,1)}
       337:{2,4,5}:{(296,1),(297,1),(369,1)}
       338:{2,3,6}:{(296,1),(298,1),(369,1),(370,1)}
       339:{1,3,4,6}:{(297,1),(298,1),(300,1),(306,1),(369,1),(371,1),(372,1)}
       340:{1,3,7}:{(298,1),(299,1),(301,1),(370,1)}
       341:{2,3,5,6}:{(300,1),(302,1),(308,1),(371,1),(373,1),(419,1)}
       342:{2,3,4,7}:{(300,1),(301,1),(303,1),(309,1),(372,1),(373,1),(420,1)}
       343:{3,5,7}:{(302,1),(303,1),(304,1),(374,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(311,1),(374,1)}
       345:{1,4,5,6}:{(306,1),(308,1),(365,1),(371,1),(375,1)}
       346:{1,4,7}:{(306,1),(307,1),(309,1)}
       347:{2,4,5,7}:{(308,1),(309,1),(310,1),(367,1),(373,1),(375,1),(376,1),(409,1)}
       348:{1,3,4,6,7}:{(310,1),(311,1),(312,1),(368,1),(374,1),(376,1),(403,1),(410,1),(422,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(390,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(337,1),(377,1),(384,1),(393,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(330,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(340,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(332,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(333,1),(342,1),(382,1),(387,1),(388,1),(395,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(335,1),(344,1),(389,1),(391,1),(415,1)}
       365:{1,5,6}:{(330,1),(332,1),(390,1)}
       366:{1,4,6,7}:{(330,1),(331,1),(333,1),(346,1),(390,1)}
       367:{2,5,7}:{(332,1),(333,1),(334,1),(390,1)}
       368:{1,3,5,6,7}:{(334,1),(335,1),(336,1),(348,1),(389,1),(391,1)}
       369:{2,4,6}:{(337,1),(338,1),(339,1),(392,1),(393,1)}
       370:{2,3,7}:{(338,1),(340,1),(393,1)}
       371:{1,3,5,6}:{(339,1),(341,1),(345,1),(392,1),(394,1)}
       372:{1,3,4,7}:{(339,1),(340,1),(342,1),(346,1),(393,1),(394,1)}
       373:{2,3,5,7}:{(341,1),(342,1),(343,1),(347,1),(394,1),(395,1),(424,1)}
       374:{3,6,7}:{(343,1),(344,1)}
       375:{1,4,5,7}:{(345,1),(346,1),(347,1),(390,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(347,1),(348,1),(391,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(370,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(365,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(366,1),(372,1),(401,1),(405,1),(406,1),(410,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(367,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(374,1),(403,1)}
       390:{1,5,7}:{(365,1),(366,1),(367,1)}
       391:{2,5,6,7}:{(367,1),(368,1),(376,1),(408,1)}
       392:{2,5,6}:{(369,1),(371,1),(409,1)}
       393:{2,4,7}:{(369,1),(370,1),(372,1),(409,1)}
       394:{1,3,5,7}:{(371,1),(372,1),(373,1),(375,1),(409,1),(410,1)}
       395:{2,3,6,7}:{(373,1),(374,1),(376,1),(410,1),(426,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(408,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(393,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(390,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(391,1),(395,1),(415,1),(417,1)}
       408:{1,5,6,7}:{(390,1),(391,1),(396,1)}
       409:{2,5,7}:{(392,1),(393,1),(394,1),(418,1)}
       410:{1,3,6,7}:{(394,1),(395,1),(396,1),(418,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(408,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(409,1),(410,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2425 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2426 :  0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(25,1),(27,1),(28,1),(41,1),(43,1)}
        1:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(35,1),(49,1)}
        2:{1,3,5,7}:{(0,1),(3,1),(6,1),(7,1),(21,1),(47,1)}
        3:{1,3,5,6}:{(2,1),(8,1),(9,1),(25,1)}
        4:{2,3,6,7}:{(1,1),(10,1),(11,1),(25,1),(42,1),(43,1),(55,1)}
        5:{1,4,6,7}:{(1,1),(10,1),(12,1),(24,1),(27,1),(56,1)}
        6:{2,5,7}:{(1,1),(2,1),(8,1),(12,1),(54,1)}
        7:{1,4,5,7}:{(2,1),(9,1),(13,1),(27,1),(38,1),(45,1)}
        8:{2,5,6}:{(3,1),(6,1),(15,1),(16,1)}
        9:{1,4,6}:{(3,1),(7,1),(16,1),(50,1)}
       10:{1,3,6,7}:{(4,1),(5,1),(17,1),(18,1),(34,1),(50,1),(61,1)}
       11:{2,3,5,7}:{(4,1),(6,1),(14,1),(18,1),(19,1),(21,1),(37,1),(51,1),(59,1)}
       12:{1,5,7}:{(5,1),(6,1),(15,1),(60,1)}
       13:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(20,1),(21,1),(30,1),(35,1),(37,1),(46,1)}
       14:{2,3,5,6}:{(8,1),(11,1),(22,1),(23,1),(25,1),(39,1),(42,1),(54,1),(55,1)}
       15:{1,5,6}:{(8,1),(12,1),(24,1)}
       16:{2,4,6}:{(8,1),(9,1),(13,1),(24,1),(25,1),(42,1)}
       17:{2,6,7}:{(10,1),(26,1),(42,1),(65,1)}
       18:{1,3,5,7}:{(10,1),(11,1),(12,1),(22,1),(26,1),(27,1),(43,1),(45,1),(57,1),(64,1)}
       19:{2,4,7}:{(11,1),(23,1),(27,1),(28,1),(63,1)}
       20:{1,4,5,7}:{(12,1),(13,1),(24,1),(27,1),(29,1),(38,1)}
       21:{3,5,7}:{(13,1),(25,1),(28,1),(39,1),(43,1),(53,1)}
       22:{1,3,5,6}:{(14,1),(15,1),(18,1),(31,1),(32,1),(34,1),(47,1),(48,1),(50,1),(60,1),(61,1)}
       23:{2,4,6}:{(14,1),(19,1),(30,1),(32,1),(33,1)}
       24:{1,4,6}:{(15,1),(16,1),(20,1),(34,1)}
       25:{3,6}:{(16,1),(21,1)}
       26:{2,5,7}:{(17,1),(18,1),(31,1),(35,1),(62,1),(67,1)}
       27:{1,4,7}:{(18,1),(19,1),(32,1),(35,1),(66,1)}
       28:{3,4,7}:{(19,1),(21,1),(33,1),(58,1)}
       29:{1,3,5,7}:{(20,1),(21,1),(34,1),(36,1),(37,1),(47,1)}
       30:{2,4,5}:{(23,1),(38,1),(39,1),(54,1),(68,1)}
       31:{2,5,6}:{(22,1),(26,1),(40,1),(42,1),(54,1),(65,1)}
       32:{1,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1)}
       33:{3,4,6}:{(23,1),(25,1),(28,1),(39,1)}
       34:{1,3,6}:{(24,1),(25,1),(29,1),(42,1)}
       35:{2,4,7}:{(26,1),(27,1),(40,1),(43,1),(68,1)}
       36:{1,3,4,7}:{(27,1),(28,1),(29,1),(41,1),(43,1),(44,1),(57,1)}
       37:{2,5,7}:{(29,1),(42,1),(44,1),(45,1),(54,1)}
       38:{1,4,5}:{(30,1),(32,1),(46,1),(47,1),(60,1),(66,1)}
       39:{3,5}:{(30,1),(33,1),(69,1)}
       40:{2,4,6}:{(31,1),(32,1),(35,1),(46,1),(48,1)}
       41:{1,3,4,6}:{(32,1),(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(58,1),(61,1),(66,1),(69,1)}
       42:{2,6}:{(34,1),(37,1),(50,1)}
       43:{3,7}:{(35,1),(48,1),(69,1)}
       44:{2,4,7}:{(36,1),(37,1),(49,1),(51,1),(52,1),(62,1)}
       45:{1,5,7}:{(37,1),(50,1),(52,1),(60,1)}
       46:{2,4,5}:{(38,1),(40,1),(53,1),(54,1),(63,1)}
       47:{1,3,5}:{(38,1),(39,1),(41,1),(53,1),(54,1)}
       48:{3,6}:{(40,1),(43,1),(53,1)}
       49:{2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1),(56,1),(63,1),(65,1),(68,1)}
       50:{1,6}:{(42,1),(45,1)}
       51:{2,3,7}:{(43,1),(44,1),(55,1),(57,1)}
       52:{1,4,7}:{(44,1),(45,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{2,5}:{(47,1),(49,1),(60,1)}
       55:{2,3,6}:{(48,1),(49,1),(51,1),(59,1),(61,1),(69,1)}
       56:{1,4,6}:{(49,1),(50,1),(52,1),(60,1),(61,1),(66,1)}
       57:{1,3,7}:{(51,1),(52,1),(61,1),(62,1)}
       58:{3,4}:{(53,1),(63,1)}
       59:{2,3,5}:{(53,1),(54,1),(55,1),(63,1),(64,1)}
       60:{1,5}:{(54,1),(56,1)}
       61:{1,3,6}:{(55,1),(56,1),(57,1),(64,1),(65,1)}
       62:{2,7}:{(57,1),(65,1)}
       63:{2,4}:{(58,1),(59,1),(66,1)}
       64:{1,3,5}:{(59,1),(60,1),(61,1),(66,1),(67,1),(69,1)}
       65:{2,6}:{(61,1),(62,1),(67,1)}
       66:{1,4}:{(63,1),(64,1),(68,1)}
       67:{2,5}:{(64,1),(65,1),(68,1)}
       68:{2,4}:{(66,1),(67,1),(69,1)}
       69:{3}:{(68,1)}

2427 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(93,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(17,1),(19,1),(45,1),(50,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(71,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(112,1),(139,1),(145,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(10,1),(11,1),(69,1),(139,1),(142,1)}
         5:{1,2,4,5,6}:{(7,1),(12,1),(27,1),(36,1),(66,1),(76,1),(107,1),(110,1),(112,1),(116,1),(117,1),(139,1),(145,1),(149,1),(151,1),(166,1),(174,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(93,1),(94,1),(132,1)}
         7:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(92,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(91,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(132,1),(154,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(18,1),(19,1),(45,1)}
        11:{3,4,6,7}:{(4,1),(19,1),(48,1),(154,1),(155,1)}
        12:{1,3,5,6}:{(5,1),(14,1),(21,1),(22,1),(95,1),(125,1),(132,1),(136,1),(154,1),(163,1),(171,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(112,1),(115,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(12,1),(25,1),(26,1),(113,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(10,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{2,4,5,6}:{(10,1),(27,1),(32,1),(66,1),(69,1),(139,1),(166,1)}
        19:{3,5,7}:{(10,1),(11,1),(32,1)}
        20:{2,3,4,6,7}:{(11,1),(29,1),(33,1),(34,1),(61,1),(69,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        21:{1,3,4,6}:{(12,1),(25,1),(35,1),(36,1),(149,1),(150,1),(165,1)}
        22:{2,3,5,6}:{(12,1),(26,1),(36,1),(37,1),(66,1),(74,1),(104,1),(117,1),(118,1),(145,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(132,1),(133,1)}
        25:{1,3,4,7}:{(14,1),(21,1),(42,1),(131,1),(133,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(22,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(18,1),(38,1),(44,1),(88,1),(91,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(19,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{3,4,5,7}:{(19,1),(48,1),(49,1),(155,1),(171,1)}
        32:{3,5,6}:{(18,1),(19,1),(48,1),(154,1),(171,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(45,1),(49,1),(50,1),(51,1),(171,1),(173,1)}
        34:{1,3,4,6,7}:{(20,1),(46,1),(51,1),(52,1),(84,1),(90,1),(91,1),(125,1),(131,1),(132,1),(133,1),(161,1),(172,1)}
        35:{1,3,4,5}:{(21,1),(54,1),(95,1),(138,1),(162,1),(163,1),(171,1)}
        36:{2,4,6}:{(21,1),(22,1),(42,1),(54,1),(55,1)}
        37:{1,3,5,6}:{(22,1),(43,1),(55,1),(56,1),(88,1),(95,1),(98,1),(125,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(112,1),(151,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(73,1),(99,1),(104,1),(115,1),(150,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(35,1),(57,1),(62,1),(63,1),(70,1),(100,1),(105,1),(113,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(36,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(37,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(32,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{3,4,6}:{(31,1),(32,1),(69,1)}
        49:{2,4,5,7}:{(31,1),(33,1),(69,1),(70,1),(142,1),(166,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(66,1),(69,1),(71,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(67,1),(70,1),(71,1),(72,1),(113,1),(170,1),(174,1)}
        52:{2,4,6,7}:{(34,1),(72,1),(73,1),(106,1),(112,1),(115,1),(145,1),(169,1)}
        53:{2,3,4,6}:{(36,1),(61,1),(74,1),(75,1),(104,1),(118,1),(150,1),(153,1),(165,1),(169,1)}
        54:{2,4,5}:{(35,1),(36,1),(74,1),(76,1),(117,1),(153,1)}
        55:{1,4,6}:{(36,1),(37,1),(64,1),(76,1)}
        56:{1,2,5,6}:{(37,1),(65,1),(77,1),(117,1),(145,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(133,1),(163,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(132,1),(163,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(163,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(53,1),(83,1),(84,1),(127,1),(133,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(48,1),(78,1),(85,1),(91,1),(120,1),(125,1),(132,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(54,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(55,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(56,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(52,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,4,6}:{(48,1),(49,1),(50,1),(91,1)}
        70:{1,4,5,7}:{(49,1),(51,1),(91,1),(92,1),(131,1),(162,1)}
        71:{1,3,5,6}:{(50,1),(51,1),(88,1),(91,1),(93,1),(125,1),(132,1)}
        72:{2,5,7}:{(51,1),(52,1),(93,1),(173,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(94,1),(127,1),(132,1),(159,1)}
        74:{2,3,5}:{(53,1),(54,1),(95,1),(163,1),(171,1),(173,1)}
        75:{1,3,4,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(98,1),(125,1),(136,1),(138,1),(164,1),(172,1)}
        76:{1,4,5}:{(54,1),(55,1),(95,1),(164,1)}
        77:{1,2,4,6}:{(55,1),(56,1),(87,1),(96,1),(97,1),(98,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(115,1),(151,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(74,1),(104,1),(105,1),(113,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(75,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(76,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(77,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(72,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(73,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,4,6}:{(69,1),(70,1),(71,1),(112,1)}
        92:{2,4,5,7}:{(70,1),(72,1),(112,1),(113,1),(115,1),(151,1)}
        93:{2,5,6}:{(71,1),(72,1),(112,1),(145,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(111,1),(113,1),(114,1),(115,1)}
        95:{1,3,5}:{(74,1),(75,1),(76,1),(117,1),(174,1)}
        96:{2,4,6}:{(75,1),(106,1),(117,1),(118,1),(145,1),(153,1)}
        97:{1,2,4,5}:{(76,1),(77,1),(117,1),(119,1),(153,1)}
        98:{1,3,6}:{(77,1),(109,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(132,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(95,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(96,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(92,1),(97,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(98,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(93,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(94,1),(123,1),(130,1),(131,1)}
       112:{2,4,6}:{(91,1),(92,1),(93,1),(132,1)}
       113:{3,5,7}:{(92,1),(132,1),(133,1),(163,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(130,1),(132,1),(134,1),(159,1),(163,1),(173,1)}
       115:{2,4,7}:{(94,1),(131,1),(133,1),(134,1)}
       116:{1,2,4,6}:{(96,1),(124,1),(135,1),(136,1),(157,1),(164,1),(172,1)}
       117:{2,5}:{(95,1),(96,1)}
       118:{2,3,6}:{(96,1),(98,1),(127,1),(136,1),(137,1)}
       119:{1,3,5}:{(97,1),(98,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(116,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(117,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(118,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(112,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(113,1),(119,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(114,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(115,1),(142,1),(149,1)}
       132:{3,6}:{(112,1),(113,1)}
       133:{3,4,7}:{(113,1),(115,1),(150,1)}
       134:{2,4,6}:{(114,1),(115,1),(149,1),(150,1),(151,1)}
       135:{1,2,5}:{(116,1),(117,1),(152,1),(174,1)}
       136:{1,3,6}:{(116,1),(118,1),(144,1),(152,1)}
       137:{2,3,5}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       138:{1,3,4}:{(119,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(135,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(136,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(137,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(132,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(133,1),(138,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(134,1),(156,1),(162,1)}
       150:{3,4,6}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4,5}:{(134,1),(162,1),(163,1),(173,1)}
       152:{1,3,5}:{(135,1),(136,1),(137,1),(164,1)}
       153:{2,4}:{(137,1),(138,1),(164,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(152,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(153,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(150,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(151,1),(166,1),(170,1),(174,1)}
       163:{3,5}:{(150,1),(151,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(164,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(163,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2428 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2429 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(50,1),(51,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(24,1),(34,1),(56,1),(109,1),(118,1),(120,1),(160,1),(166,1),(176,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(23,1),(32,1),(33,1),(73,1),(74,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(42,1),(52,1),(86,1),(89,1),(91,1),(140,1),(146,1),(147,1),(190,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(50,1),(184,1),(189,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(50,1),(152,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(41,1),(50,1),(99,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(42,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(43,1)}
        10:{2,3,4,6,7}:{(20,1),(21,1),(25,1),(55,1),(66,1),(105,1),(117,1),(158,1),(161,1),(163,1),(166,1),(241,1)}
        11:{2,3,5,6}:{(5,1),(23,1),(24,1),(30,1),(70,1),(118,1)}
        12:{2,4,6,7}:{(4,1),(25,1),(26,1),(64,1),(66,1),(166,1),(172,1),(173,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(67,1),(73,1),(165,1),(209,1)}
        14:{2,4,5,7}:{(5,1),(24,1),(27,1),(28,1),(109,1),(159,1)}
        15:{2,4,5,6}:{(6,1),(24,1),(29,1),(30,1),(70,1),(159,1),(175,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(29,1),(31,1),(32,1),(73,1),(125,1)}
        17:{3,5,7}:{(6,1),(9,1),(30,1),(176,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(31,1),(33,1),(64,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(65,1),(71,1),(74,1),(125,1),(176,1)}
        20:{1,3,4,6,7}:{(10,1),(36,1),(37,1),(39,1),(79,1),(86,1),(134,1),(136,1),(140,1),(183,1),(186,1),(187,1),(190,1)}
        21:{2,3,5,7}:{(10,1),(35,1),(37,1),(38,1),(128,1),(144,1),(178,1),(189,1)}
        22:{1,2,4,6,7}:{(12,1),(36,1),(39,1),(40,1),(52,1),(85,1),(86,1),(99,1),(152,1),(183,1),(190,1),(191,1),(192,1),(220,1),(236,1)}
        23:{1,3,5,6}:{(11,1),(13,1),(41,1),(42,1),(89,1),(96,1),(146,1)}
        24:{2,4,6}:{(11,1),(14,1),(42,1),(43,1)}
        25:{2,3,6,7}:{(12,1),(39,1),(44,1),(89,1),(141,1),(195,1),(220,1)}
        26:{2,5,7}:{(12,1),(13,1),(41,1),(189,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(86,1),(139,1)}
        28:{3,4,5,7}:{(14,1),(17,1),(43,1),(136,1),(184,1)}
        29:{1,4,5,6}:{(15,1),(16,1),(42,1),(47,1),(48,1),(96,1),(139,1),(150,1)}
        30:{3,5,6}:{(15,1),(17,1),(43,1),(184,1),(197,1)}
        31:{2,4,5,7}:{(16,1),(18,1),(47,1),(49,1),(50,1),(97,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        33:{3,6,7}:{(18,1),(49,1),(89,1)}
        34:{2,4,6,7}:{(19,1),(50,1),(51,1),(52,1),(90,1),(97,1),(99,1),(152,1)}
        35:{2,3,5,6}:{(21,1),(54,1),(55,1),(102,1),(156,1),(161,1)}
        36:{2,4,6,7}:{(20,1),(56,1),(57,1),(107,1),(109,1),(166,1),(207,1),(208,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(54,1),(57,1),(58,1),(110,1),(165,1),(200,1),(209,1)}
        38:{2,4,5,7}:{(21,1),(55,1),(58,1),(59,1),(66,1),(116,1)}
        39:{1,3,6,7}:{(22,1),(25,1),(56,1),(61,1),(113,1),(167,1),(176,1),(211,1),(241,1)}
        40:{1,2,5,7}:{(22,1),(26,1),(57,1),(60,1),(61,1),(73,1),(126,1),(200,1),(209,1),(229,1)}
        41:{2,5,6}:{(23,1),(26,1),(64,1),(172,1)}
        42:{1,4,6}:{(23,1),(24,1),(27,1),(64,1)}
        43:{3,4,6}:{(24,1),(28,1),(30,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(61,1),(63,1),(66,1),(67,1),(229,1),(241,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(64,1),(66,1),(67,1),(116,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(65,1),(67,1),(68,1),(71,1),(114,1),(121,1),(122,1),(125,1),(165,1),(174,1),(176,1),(214,1)}
        47:{2,4,5,6}:{(29,1),(31,1),(64,1),(69,1),(70,1),(116,1),(123,1)}
        48:{1,3,5,6}:{(29,1),(30,1),(32,1),(65,1),(69,1),(70,1),(165,1)}
        49:{3,5,7}:{(31,1),(33,1),(69,1),(71,1)}
        50:{2,5,7}:{(32,1),(34,1),(70,1),(73,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(72,1),(74,1),(118,1),(176,1)}
        52:{1,4,6,7}:{(34,1),(73,1),(74,1),(119,1),(125,1)}
        53:{2,3,5,6,7}:{(35,1),(76,1),(77,1),(128,1),(178,1),(182,1)}
        54:{1,3,5,6}:{(35,1),(37,1),(78,1),(79,1),(134,1),(181,1),(186,1)}
        55:{2,4,6}:{(35,1),(38,1),(79,1),(80,1)}
        56:{2,3,6,7}:{(36,1),(39,1),(81,1),(99,1),(134,1),(141,1),(223,1)}
        57:{2,5,7}:{(36,1),(37,1),(78,1),(189,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(79,1),(82,1),(86,1),(139,1)}
        59:{3,4,5,7}:{(38,1),(80,1),(91,1),(128,1),(144,1)}
        60:{1,2,5,6}:{(40,1),(41,1),(78,1),(84,1),(85,1),(96,1),(151,1),(181,1),(189,1),(191,1),(219,1),(224,1)}
        61:{1,3,5,7}:{(39,1),(40,1),(44,1),(81,1),(84,1),(86,1)}
        62:{1,2,4,5,7}:{(40,1),(45,1),(82,1),(85,1),(86,1),(87,1),(93,1),(138,1),(139,1),(142,1),(148,1),(152,1),(188,1),(189,1),(192,1),(196,1),(224,1),(236,1),(237,1),(240,1)}
        63:{2,3,5,6}:{(41,1),(44,1),(84,1),(88,1),(89,1),(141,1),(144,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(41,1),(42,1),(45,1),(89,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(46,1),(48,1),(89,1),(90,1),(94,1),(146,1),(150,1),(197,1)}
        66:{2,4,7}:{(44,1),(86,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(89,1),(91,1),(144,1)}
        68:{2,4,5,7}:{(46,1),(50,1),(90,1),(92,1),(93,1),(97,1),(142,1),(148,1),(149,1),(152,1),(189,1),(196,1)}
        69:{3,5,6}:{(47,1),(49,1),(89,1),(94,1),(144,1)}
        70:{2,5,6}:{(48,1),(50,1),(90,1),(96,1),(189,1)}
        71:{3,4,7}:{(49,1),(94,1),(97,1)}
        72:{2,3,5,7}:{(49,1),(50,1),(51,1),(95,1),(97,1),(98,1)}
        73:{1,5,7}:{(50,1),(52,1),(96,1)}
        74:{1,3,6,7}:{(51,1),(52,1),(98,1),(99,1),(146,1)}
        75:{2,4,5,6}:{(55,1),(100,1),(101,1),(102,1),(116,1),(156,1),(231,1)}
        76:{1,3,5,6,7}:{(53,1),(54,1),(103,1),(104,1),(154,1),(157,1),(200,1),(204,1)}
        77:{2,4,6,7}:{(53,1),(55,1),(100,1),(104,1),(105,1)}
        78:{2,5,6}:{(54,1),(57,1),(107,1),(207,1)}
        79:{1,4,6}:{(54,1),(55,1),(58,1),(107,1)}
        80:{3,4,6}:{(55,1),(59,1),(102,1)}
        81:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(109,1),(110,1),(126,1),(176,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(107,1),(109,1),(110,1),(159,1)}
        83:{1,3,4,5,7}:{(58,1),(59,1),(108,1),(110,1),(111,1),(114,1),(154,1),(164,1),(165,1),(198,1),(201,1),(228,1),(230,1),(241,1),(242,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(63,1),(106,1),(112,1),(113,1),(165,1),(167,1),(209,1),(234,1)}
        85:{1,2,4,6}:{(60,1),(62,1),(64,1),(107,1),(112,1),(113,1),(119,1),(162,1),(166,1),(172,1),(175,1),(207,1),(231,1)}
        86:{1,4,7}:{(61,1),(66,1),(109,1),(112,1)}
        87:{1,3,5,7}:{(62,1),(67,1),(110,1),(113,1),(114,1),(115,1),(165,1),(176,1),(211,1),(214,1),(234,1),(241,1),(242,1)}
        88:{2,4,6}:{(63,1),(66,1),(112,1),(116,1),(117,1),(243,1)}
        89:{3,6}:{(64,1),(67,1)}
        90:{2,4,6}:{(65,1),(68,1),(70,1),(118,1),(119,1),(172,1)}
        91:{3,4,7}:{(66,1),(67,1),(117,1),(241,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(118,1),(120,1),(121,1),(170,1),(176,1),(214,1)}
        93:{1,4,5,7}:{(68,1),(73,1),(119,1),(121,1),(125,1),(168,1),(174,1),(209,1)}
        94:{3,4,6}:{(69,1),(71,1),(122,1),(123,1)}
        95:{2,3,5,6}:{(69,1),(70,1),(72,1),(118,1),(123,1),(124,1),(170,1)}
        96:{1,5,6}:{(70,1),(73,1),(119,1),(209,1)}
        97:{2,4,7}:{(71,1),(72,1),(123,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(74,1),(124,1),(125,1),(126,1),(176,1)}
        99:{2,6,7}:{(74,1),(126,1),(172,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(127,1),(128,1),(178,1),(236,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(127,1),(129,1),(130,1),(139,1),(181,1),(218,1)}
       102:{3,5,6}:{(75,1),(80,1),(128,1),(144,1),(238,1)}
       103:{2,5,6,7}:{(76,1),(78,1),(131,1),(178,1),(220,1)}
       104:{1,4,6,7}:{(76,1),(77,1),(79,1),(127,1),(131,1)}
       105:{3,4,6,7}:{(77,1),(80,1),(128,1)}
       106:{2,3,5,6}:{(78,1),(81,1),(84,1),(133,1),(134,1),(141,1),(151,1),(184,1),(189,1),(197,1),(226,1)}
       107:{2,4,6}:{(78,1),(79,1),(82,1),(134,1)}
       108:{1,3,4,6}:{(79,1),(80,1),(83,1),(130,1),(134,1),(135,1),(179,1),(186,1),(218,1),(238,1)}
       109:{2,4,7}:{(81,1),(86,1),(133,1),(136,1)}
       110:{3,5,7}:{(82,1),(134,1),(136,1),(184,1)}
       111:{2,4,5,7}:{(83,1),(135,1),(137,1),(138,1),(142,1),(178,1),(188,1),(189,1),(215,1),(217,1),(236,1),(237,1)}
       112:{1,4,6}:{(84,1),(86,1),(88,1),(133,1),(139,1),(240,1)}
       113:{1,3,6}:{(85,1),(87,1),(89,1),(134,1),(141,1),(197,1),(238,1)}
       114:{1,3,4,7}:{(86,1),(87,1),(91,1),(136,1),(140,1),(142,1),(227,1),(240,1),(244,1)}
       115:{2,3,5,7}:{(87,1),(141,1),(142,1),(143,1),(148,1),(188,1),(189,1),(195,1),(223,1),(226,1),(239,1)}
       116:{2,4,5}:{(88,1),(139,1),(144,1),(189,1)}
       117:{3,4,6}:{(88,1),(89,1),(91,1),(144,1),(238,1),(244,1)}
       118:{2,3,6}:{(89,1),(90,1),(92,1),(146,1),(197,1)}
       119:{1,4,6}:{(90,1),(93,1),(96,1),(146,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(97,1),(142,1),(145,1),(147,1),(223,1),(227,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(146,1),(147,1),(148,1),(193,1)}
       122:{3,4,5}:{(94,1),(144,1),(149,1),(244,1)}
       123:{2,4,6}:{(94,1),(95,1),(97,1),(149,1),(150,1)}
       124:{1,3,5,6}:{(95,1),(96,1),(98,1),(146,1),(150,1),(151,1),(193,1),(197,1)}
       125:{1,4,7}:{(97,1),(98,1),(150,1),(152,1)}
       126:{2,5,7}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,4,5,7}:{(100,1),(101,1),(104,1),(153,1),(154,1),(200,1),(228,1)}
       128:{3,5,7}:{(100,1),(102,1),(105,1),(241,1)}
       129:{2,4,5,6}:{(101,1),(107,1),(153,1),(155,1),(156,1),(159,1),(202,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(108,1),(154,1),(155,1),(156,1),(165,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(107,1),(153,1),(157,1)}
       132:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(154,1),(157,1),(158,1),(198,1),(204,1),(228,1),(241,1)}
       133:{2,4,6}:{(106,1),(109,1),(112,1),(159,1),(160,1),(235,1)}
       134:{3,6}:{(107,1),(110,1)}
       135:{2,4,6}:{(108,1),(111,1),(156,1),(161,1),(162,1),(207,1)}
       136:{3,4,7}:{(109,1),(110,1),(160,1),(176,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(161,1),(163,1),(164,1),(205,1),(241,1),(242,1)}
       138:{1,4,5,7}:{(111,1),(162,1),(164,1),(168,1),(200,1),(209,1),(228,1),(230,1)}
       139:{1,4,5}:{(112,1),(116,1),(159,1),(165,1),(209,1)}
       140:{1,3,4,6}:{(112,1),(113,1),(114,1),(117,1),(160,1),(165,1),(166,1)}
       141:{2,3,6}:{(113,1),(115,1),(166,1),(167,1),(172,1),(207,1)}
       142:{2,4,7}:{(114,1),(115,1),(166,1),(168,1),(235,1),(243,1)}
       143:{1,3,5,7}:{(115,1),(167,1),(168,1),(169,1),(209,1),(211,1),(234,1)}
       144:{3,5}:{(116,1),(117,1)}
       145:{2,3,4,6}:{(117,1),(118,1),(120,1),(123,1),(166,1),(170,1),(171,1),(233,1),(243,1)}
       146:{1,3,6}:{(118,1),(119,1),(121,1),(172,1)}
       147:{1,3,4,7}:{(120,1),(121,1),(125,1),(168,1),(171,1),(173,1),(176,1),(211,1)}
       148:{2,5,7}:{(121,1),(172,1),(173,1),(212,1)}
       149:{2,4,5}:{(122,1),(123,1),(170,1),(174,1),(243,1)}
       150:{1,4,6}:{(123,1),(124,1),(125,1),(174,1),(175,1)}
       151:{2,5,6}:{(124,1),(126,1),(172,1),(175,1),(212,1)}
       152:{2,4,7}:{(125,1),(126,1),(175,1),(176,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(131,1),(177,1),(178,1),(215,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(130,1),(132,1),(177,1),(178,1)}
       155:{3,5,6}:{(129,1),(134,1),(177,1),(179,1),(184,1)}
       156:{2,5,6}:{(130,1),(135,1),(178,1),(181,1),(189,1)}
       157:{3,6,7}:{(131,1),(134,1),(177,1)}
       158:{2,4,6,7}:{(132,1),(135,1),(178,1),(182,1),(183,1),(215,1),(220,1),(236,1)}
       159:{2,4,5}:{(133,1),(139,1),(184,1),(189,1)}
       160:{3,4,6}:{(133,1),(134,1),(136,1),(184,1),(197,1),(227,1)}
       161:{2,3,6}:{(134,1),(135,1),(137,1),(186,1),(238,1)}
       162:{1,4,6}:{(135,1),(138,1),(181,1),(186,1)}
       163:{2,3,4,7}:{(136,1),(137,1),(142,1),(185,1),(187,1),(195,1),(215,1),(244,1)}
       164:{1,3,5,7}:{(137,1),(138,1),(186,1),(187,1),(188,1),(221,1)}
       165:{1,3,5}:{(139,1),(140,1),(144,1),(184,1),(189,1)}
       166:{2,4,6}:{(140,1),(141,1),(142,1),(189,1),(190,1)}
       167:{1,3,6}:{(141,1),(143,1),(190,1),(191,1)}
       168:{1,4,7}:{(142,1),(143,1),(190,1),(240,1)}
       169:{1,2,5,7}:{(143,1),(148,1),(188,1),(191,1),(192,1),(224,1)}
       170:{2,3,5}:{(144,1),(145,1),(149,1),(189,1),(193,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(147,1),(150,1),(190,1),(193,1),(194,1),(197,1),(225,1),(227,1),(240,1)}
       172:{2,6}:{(146,1),(148,1)}
       173:{2,4,7}:{(147,1),(148,1),(194,1),(195,1)}
       174:{1,4,5}:{(149,1),(150,1),(193,1),(196,1),(240,1)}
       175:{2,4,6}:{(150,1),(151,1),(152,1),(196,1),(197,1)}
       176:{3,7}:{(152,1),(197,1)}
       177:{3,5,7}:{(153,1),(155,1),(157,1),(198,1)}
       178:{2,5,7}:{(154,1),(156,1),(158,1),(200,1)}
       179:{3,4,6}:{(155,1),(198,1),(201,1),(202,1)}
       180:{2,3,5,6}:{(155,1),(156,1),(161,1),(199,1),(202,1),(203,1),(205,1)}
       181:{1,5,6}:{(156,1),(162,1),(200,1),(209,1)}
       182:{2,3,6,7}:{(157,1),(158,1),(161,1),(199,1),(204,1),(241,1)}
       183:{1,4,6,7}:{(158,1),(162,1),(200,1),(204,1),(228,1)}
       184:{3,5}:{(159,1),(160,1)}
       185:{2,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(202,1),(205,1),(206,1),(213,1),(235,1)}
       186:{1,3,6}:{(161,1),(162,1),(164,1),(207,1)}
       187:{1,3,4,7}:{(163,1),(164,1),(168,1),(206,1),(208,1),(211,1),(228,1),(241,1)}
       188:{2,5,7}:{(164,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(165,1),(166,1),(209,1)}
       190:{1,4,6}:{(166,1),(167,1),(168,1),(209,1)}
       191:{1,2,6}:{(167,1),(169,1),(172,1),(207,1)}
       192:{1,2,4,7}:{(168,1),(169,1),(173,1),(208,1),(210,1),(211,1)}
       193:{1,3,5}:{(170,1),(171,1),(174,1),(209,1),(212,1),(214,1)}
       194:{2,4,6}:{(171,1),(172,1),(173,1),(212,1),(213,1),(235,1)}
       195:{2,3,7}:{(173,1),(176,1),(211,1),(213,1)}
       196:{2,4,5}:{(174,1),(175,1),(212,1),(214,1),(235,1)}
       197:{3,6}:{(175,1),(176,1),(214,1)}
       198:{3,4,7}:{(177,1),(179,1),(215,1)}
       199:{2,3,5,7}:{(177,1),(178,1),(180,1),(182,1),(215,1),(216,1)}
       200:{1,5,7}:{(178,1),(181,1),(183,1)}
       201:{3,4,5}:{(179,1),(184,1),(217,1),(227,1)}
       202:{2,4,6}:{(179,1),(180,1),(215,1),(217,1),(218,1)}
       203:{1,3,5,6}:{(180,1),(181,1),(186,1),(216,1),(218,1),(219,1),(221,1),(238,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(186,1),(216,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(195,1),(223,1),(225,1)}
       212:{2,5}:{(193,1),(194,1)}
       213:{2,3,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       214:{3,5}:{(196,1),(197,1),(227,1)}
       215:{2,4,7}:{(198,1),(199,1),(202,1),(228,1)}
       216:{1,3,5,7}:{(199,1),(200,1),(203,1),(204,1),(228,1),(229,1),(241,1)}
       217:{2,4,5}:{(201,1),(202,1),(205,1),(230,1),(235,1)}
       218:{1,4,6}:{(202,1),(203,1),(228,1),(230,1),(231,1)}
       219:{2,5,6}:{(203,1),(207,1),(229,1),(231,1),(232,1)}
       220:{2,6,7}:{(204,1),(207,1),(229,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(230,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(233,1),(241,1)}
       224:{1,2,5}:{(209,1),(210,1),(212,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(213,1),(233,1),(234,1)}
       226:{2,3,5}:{(212,1),(213,1),(214,1),(234,1),(235,1)}
       227:{3,4}:{(214,1),(235,1)}
       228:{1,4,7}:{(215,1),(216,1),(218,1),(236,1)}
       229:{2,5,7}:{(216,1),(219,1),(220,1),(236,1)}
       230:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       231:{2,4,6}:{(218,1),(219,1),(236,1),(237,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(226,1),(239,1),(240,1)}
       235:{2,4}:{(226,1),(227,1),(240,1)}
       236:{2,4,7}:{(228,1),(229,1),(231,1),(241,1)}
       237:{2,4,5}:{(230,1),(231,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(231,1),(241,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(235,1),(243,1)}
       241:{3,7}:{(236,1),(238,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2430 :   0:{3,4,5,6}:{(2,1),(3,1),(136,1),(164,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(117,1),(156,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(152,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(32,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(117,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(98,1),(144,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(139,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(61,1),(68,1),(98,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(33,1),(92,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(79,1),(82,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(79,1),(127,1),(130,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(122,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(169,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(32,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(85,1),(92,1),(122,1)}
        31:{1,3,4,6}:{(17,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(98,1),(101,1)}
        32:{1,2,5}:{(17,1),(52,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(53,1),(55,1)}
        34:{2,3,5}:{(19,1),(52,1),(56,1)}
        35:{2,3,4,7}:{(19,1),(53,1),(58,1),(71,1),(104,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(61,1)}
        40:{3,5,6}:{(22,1),(61,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(104,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(54,1),(68,1),(69,1),(98,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(117,1),(120,1)}
        52:{1,3,5}:{(31,1),(32,1),(34,1),(72,1),(74,1)}
        53:{1,3,4,7}:{(31,1),(33,1),(35,1),(73,1),(76,1),(92,1),(122,1)}
        54:{1,2,5,6}:{(32,1),(36,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        55:{1,2,5,7}:{(32,1),(33,1),(76,1),(78,1)}
        56:{2,4,5}:{(34,1),(39,1),(74,1),(79,1)}
        57:{2,3,5,6}:{(34,1),(36,1),(40,1),(49,1),(75,1),(79,1),(81,1),(82,1),(127,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(76,1),(80,1),(82,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,6}:{(39,1),(40,1),(79,1),(85,1)}
        62:{3,4,5,7}:{(39,1),(80,1),(85,1),(86,1),(129,1)}
        63:{3,5,7}:{(40,1),(41,1),(85,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(77,1),(92,1),(122,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(79,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,5}:{(51,1),(52,1),(95,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(97,1),(112,1),(139,1)}
        74:{1,4,5}:{(52,1),(56,1),(95,1),(98,1)}
        75:{1,3,5,6}:{(52,1),(54,1),(57,1),(68,1),(96,1),(98,1),(100,1),(101,1),(144,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(55,1),(58,1),(97,1),(99,1),(101,1)}
        77:{1,2,5,7}:{(54,1),(59,1),(69,1),(100,1),(102,1),(149,1)}
        78:{1,2,6}:{(55,1),(101,1)}
        79:{2,4,6}:{(56,1),(57,1),(61,1),(98,1),(104,1)}
        80:{2,4,5,7}:{(56,1),(58,1),(62,1),(99,1),(104,1),(105,1),(146,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(63,1),(71,1),(100,1),(104,1),(106,1),(146,1)}
        82:{2,3,6}:{(58,1),(101,1),(105,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(61,1),(103,1),(107,1),(109,1)}
        85:{3,4,7}:{(61,1),(63,1),(104,1)}
        86:{3,4,6}:{(62,1),(105,1),(109,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(98,1),(111,1),(113,1),(114,1),(136,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(104,1),(114,1),(115,1)}
        95:{2,4,5}:{(72,1),(74,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(72,1),(75,1),(90,1),(117,1),(119,1),(120,1),(132,1),(151,1),(156,1)}
        97:{2,3,5,7}:{(72,1),(73,1),(76,1),(118,1),(120,1)}
        98:{1,4,6}:{(74,1),(75,1),(79,1),(117,1),(122,1)}
        99:{1,4,5,7}:{(74,1),(76,1),(80,1),(118,1),(122,1),(123,1),(158,1)}
       100:{1,3,5,7}:{(75,1),(77,1),(81,1),(92,1),(119,1),(122,1),(124,1),(158,1)}
       101:{1,3,6}:{(76,1),(78,1),(82,1),(120,1),(123,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(79,1),(84,1),(93,1),(121,1),(125,1),(127,1)}
       104:{2,4,7}:{(79,1),(81,1),(85,1),(122,1)}
       105:{2,4,6}:{(80,1),(82,1),(86,1),(123,1),(127,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(126,1)}
       107:{3,4,5,7}:{(84,1),(85,1),(125,1),(128,1),(129,1)}
       108:{3,4,6,7}:{(85,1),(86,1),(87,1),(126,1),(129,1),(131,1)}
       109:{3,5,6}:{(86,1),(127,1),(129,1),(130,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(129,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(122,1),(133,1),(134,1),(152,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(136,1)}
       117:{2,4,6}:{(95,1),(96,1),(98,1),(136,1),(139,1)}
       118:{2,4,5,7}:{(95,1),(97,1),(99,1),(137,1),(139,1),(140,1),(166,1)}
       119:{2,3,5,7}:{(96,1),(100,1),(112,1),(139,1),(141,1),(149,1),(162,1),(166,1)}
       120:{2,3,6}:{(97,1),(101,1),(140,1)}
       121:{1,4,5,6}:{(98,1),(103,1),(113,1),(138,1),(142,1),(144,1)}
       122:{1,4,7}:{(98,1),(100,1),(104,1),(139,1)}
       123:{1,4,6}:{(99,1),(101,1),(105,1),(140,1),(144,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(143,1)}
       125:{2,4,5,7}:{(103,1),(104,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(143,1),(146,1)}
       127:{2,5,6}:{(105,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       130:{4,5,6}:{(109,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,6}:{(116,1),(117,1),(151,1),(152,1)}
       137:{3,4,5,7}:{(116,1),(118,1),(152,1),(153,1),(169,1)}
       138:{2,4,5,6}:{(117,1),(121,1),(132,1),(151,1),(154,1),(156,1),(170,1)}
       139:{2,4,7}:{(117,1),(119,1),(122,1),(152,1)}
       140:{2,4,6}:{(118,1),(120,1),(123,1),(153,1),(156,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(155,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(122,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,4,6,7}:{(122,1),(123,1),(124,1),(126,1),(155,1),(158,1)}
       144:{1,5,6}:{(123,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(129,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(129,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(136,1),(138,1),(162,1)}
       152:{3,4,7}:{(136,1),(139,1),(162,1)}
       153:{3,4,6}:{(137,1),(140,1),(164,1)}
       154:{2,4,5,7}:{(138,1),(139,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,4,6,7}:{(139,1),(140,1),(141,1),(143,1),(163,1),(166,1)}
       156:{2,5,6}:{(140,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(152,1),(154,1),(168,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(174,1)}
       164:{3,5,6}:{(153,1),(156,1),(169,1),(170,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(169,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       170:{4,5,6}:{(164,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2431 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(45,1),(85,1),(94,1),(148,1),(161,1),(215,1),(218,1),(257,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(68,1),(127,1),(245,1),(247,1),(280,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(26,1),(30,1),(115,1),(120,1),(122,1),(125,1),(132,1),(133,1),(246,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(138,1),(204,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(38,1),(80,1),(85,1),(86,1),(148,1),(203,1),(206,1)}
         5:{3,4,5,6}:{(11,1),(16,1),(160,1),(261,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(16,1),(17,1),(261,1),(263,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(49,1),(100,1),(102,1),(271,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(43,1),(92,1),(103,1),(147,1),(157,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(57,1),(58,1),(107,1),(175,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(170,1),(233,1)}
        11:{3,4,5,7}:{(5,1),(22,1),(25,1),(182,1),(233,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(233,1),(236,1)}
        13:{1,3,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(58,1),(63,1),(109,1),(112,1),(115,1),(120,1),(122,1),(235,1)}
        14:{1,3,4,5,6}:{(5,1),(24,1),(28,1),(31,1),(70,1),(74,1),(104,1),(131,1),(166,1),(227,1),(237,1)}
        15:{1,2,4,5,7}:{(8,1),(29,1),(30,1),(62,1),(69,1),(120,1),(128,1),(132,1),(180,1),(183,1),(190,1),(246,1),(289,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(25,1),(31,1),(127,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(26,1),(31,1),(32,1),(74,1),(284,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(30,1),(33,1),(34,1),(76,1),(181,1),(191,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(78,1),(83,1),(144,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(207,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(37,1),(38,1),(39,1),(80,1)}
        24:{1,3,4,5,7}:{(11,1),(14,1),(36,1),(40,1),(42,1),(77,1),(87,1),(91,1),(136,1),(152,1),(200,1),(207,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(42,1),(148,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(17,1),(42,1),(43,1),(91,1),(262,1)}
        27:{2,4,6,7}:{(13,1),(18,1),(43,1),(44,1),(92,1),(140,1),(147,1)}
        28:{2,4,5,6}:{(14,1),(40,1),(46,1),(47,1),(98,1),(163,1),(263,1)}
        29:{1,2,4,6}:{(15,1),(18,1),(48,1),(49,1),(97,1),(100,1),(216,1),(271,1),(301,1)}
        30:{1,3,5,7}:{(15,1),(19,1),(45,1),(49,1),(50,1),(101,1),(213,1),(215,1),(220,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(42,1),(51,1),(100,1)}
        32:{2,5,6}:{(17,1),(18,1),(43,1)}
        33:{2,3,6}:{(18,1),(19,1),(49,1)}
        34:{2,3,4,7}:{(19,1),(50,1),(53,1),(92,1),(221,1)}
        35:{3,5,6,7}:{(20,1),(54,1),(112,1),(176,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(54,1),(56,1),(58,1),(107,1),(109,1),(112,1),(170,1)}
        37:{2,5,6,7}:{(21,1),(56,1),(57,1),(236,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(25,1),(58,1)}
        39:{1,3,5,6,7}:{(23,1),(26,1),(57,1),(58,1),(59,1),(109,1),(112,1)}
        40:{2,4,5,7}:{(24,1),(28,1),(56,1),(60,1),(61,1),(118,1),(186,1),(236,1)}
        41:{1,2,4,6,7}:{(27,1),(29,1),(62,1),(63,1),(117,1),(120,1),(172,1),(180,1),(235,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(31,1),(58,1),(64,1),(120,1)}
        43:{2,5,7}:{(26,1),(27,1),(32,1)}
        44:{2,3,6,7}:{(27,1),(33,1),(63,1),(65,1),(112,1),(181,1)}
        45:{2,3,5,7}:{(30,1),(68,1),(69,1),(128,1),(242,1),(248,1),(289,1)}
        46:{2,3,5,6}:{(28,1),(60,1),(67,1),(70,1),(74,1),(227,1)}
        47:{1,4,5,6}:{(28,1),(61,1),(70,1),(195,1),(284,1)}
        48:{1,2,5,6}:{(29,1),(32,1),(62,1),(72,1),(128,1),(184,1),(284,1)}
        49:{1,3,6}:{(29,1),(30,1),(33,1),(68,1),(245,1)}
        50:{1,3,4,7}:{(30,1),(34,1),(69,1),(73,1),(120,1),(182,1),(249,1)}
        51:{2,4,5,6}:{(31,1),(32,1),(64,1),(74,1),(75,1)}
        52:{2,3,5,6}:{(32,1),(33,1),(65,1),(72,1),(74,1),(75,1),(76,1)}
        53:{2,3,4,6}:{(33,1),(34,1),(73,1),(75,1),(76,1)}
        54:{3,4,6,7}:{(35,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(37,1),(78,1),(79,1),(80,1),(135,1)}
        56:{2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(81,1),(140,1)}
        57:{1,5,6,7}:{(37,1),(81,1),(262,1)}
        58:{1,4,6,7}:{(38,1),(39,1),(42,1),(83,1)}
        59:{2,5,6,7}:{(39,1),(43,1),(83,1),(140,1)}
        60:{2,3,5,7}:{(40,1),(46,1),(80,1),(85,1),(87,1),(91,1),(200,1)}
        61:{1,4,5,7}:{(40,1),(47,1),(81,1),(87,1),(217,1),(262,1)}
        62:{1,2,5,7}:{(41,1),(43,1),(48,1),(89,1),(149,1),(262,1)}
        63:{1,3,6,7}:{(41,1),(44,1),(49,1),(86,1),(89,1),(213,1)}
        64:{2,4,5,7}:{(42,1),(43,1),(51,1),(83,1),(91,1),(92,1)}
        65:{2,3,5,7}:{(43,1),(44,1),(52,1),(89,1),(91,1),(92,1)}
        66:{2,3,4,6,7}:{(44,1),(53,1),(90,1),(92,1),(93,1),(143,1),(156,1),(206,1),(214,1),(270,1)}
        67:{2,3,4,6}:{(46,1),(85,1),(94,1),(95,1),(102,1),(163,1),(222,1),(254,1)}
        68:{2,3,6}:{(45,1),(49,1),(97,1),(301,1)}
        69:{2,4,7}:{(45,1),(50,1),(97,1),(272,1)}
        70:{1,3,5,6}:{(46,1),(47,1),(87,1),(95,1),(98,1)}
        71:{1,2,4,5,6}:{(47,1),(48,1),(51,1),(88,1),(98,1),(99,1),(100,1),(158,1),(161,1),(163,1),(198,1),(208,1),(216,1),(225,1),(252,1),(263,1),(271,1),(273,1),(292,1),(301,1),(310,1),(312,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(52,1),(89,1),(96,1),(100,1),(101,1)}
        73:{1,3,4,6}:{(49,1),(50,1),(53,1),(97,1),(100,1),(101,1),(160,1)}
        74:{3,5,6}:{(51,1),(91,1),(102,1)}
        75:{2,4,6}:{(52,1),(92,1),(100,1),(102,1),(103,1)}
        76:{2,3,5}:{(53,1),(101,1),(103,1)}
        77:{3,4,5,7}:{(54,1),(104,1),(105,1),(176,1),(304,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(105,1),(107,1)}
        79:{1,3,5,6,7}:{(55,1),(57,1),(107,1),(108,1),(109,1),(167,1),(170,1)}
        80:{2,3,6,7}:{(56,1),(60,1),(109,1),(112,1),(170,1)}
        81:{1,4,6,7}:{(56,1),(57,1),(61,1),(109,1)}
        82:{1,2,5,6,7}:{(57,1),(59,1),(62,1),(108,1),(110,1),(111,1),(172,1),(184,1),(228,1),(236,1),(284,1),(307,1)}
        83:{2,4,6,7}:{(58,1),(59,1),(64,1),(112,1)}
        84:{2,3,5,6,7}:{(59,1),(65,1),(111,1),(112,1),(113,1),(124,1),(173,1),(176,1),(236,1),(277,1),(307,1),(314,1)}
        85:{2,3,4,7}:{(60,1),(67,1),(115,1),(122,1),(186,1),(230,1),(242,1)}
        86:{2,3,6,7}:{(63,1),(68,1),(116,1),(117,1),(242,1),(245,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(70,1),(109,1),(115,1),(118,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(71,1),(110,1),(118,1),(119,1),(120,1),(168,1),(175,1),(180,1),(183,1),(186,1),(228,1),(236,1),(246,1),(278,1),(289,1),(305,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(116,1),(120,1)}
        90:{1,3,4,6,7}:{(63,1),(66,1),(73,1),(117,1),(120,1),(121,1),(182,1),(188,1),(235,1),(243,1),(245,1),(290,1)}
        91:{3,5,7}:{(64,1),(74,1),(112,1),(122,1)}
        92:{2,4,7}:{(65,1),(75,1),(120,1),(122,1)}
        93:{2,3,5,7}:{(66,1),(76,1),(121,1),(123,1),(124,1),(176,1),(236,1)}
        94:{2,3,4,5}:{(67,1),(125,1),(133,1),(196,1),(248,1),(276,1)}
        95:{1,3,4,6}:{(67,1),(70,1),(115,1),(125,1),(126,1),(192,1),(195,1)}
        96:{2,3,5,6}:{(68,1),(72,1),(116,1),(127,1),(128,1),(184,1),(194,1),(245,1)}
        97:{2,4,6}:{(68,1),(69,1),(73,1),(128,1)}
        98:{2,5,6}:{(70,1),(118,1),(126,1)}
        99:{1,3,5,6}:{(71,1),(74,1),(119,1),(130,1),(131,1),(192,1),(194,1),(227,1),(245,1),(251,1),(290,1),(313,1),(314,1)}
       100:{1,4,6}:{(72,1),(75,1),(120,1),(127,1),(132,1)}
       101:{1,3,5}:{(73,1),(76,1),(128,1),(132,1),(194,1)}
       102:{3,4,6}:{(74,1),(75,1),(122,1),(133,1)}
       103:{2,4,5}:{(75,1),(76,1),(132,1),(133,1)}
       104:{3,4,5,6}:{(77,1),(134,1),(209,1),(309,1)}
       105:{2,4,5,7}:{(77,1),(78,1),(134,1),(135,1),(136,1),(294,1)}
       106:{2,3,4,6,7}:{(78,1),(80,1),(85,1),(135,1),(137,1),(143,1),(145,1),(206,1),(258,1),(294,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(136,1),(138,1)}
       108:{2,5,6,7}:{(79,1),(138,1),(140,1),(199,1)}
       109:{1,3,6,7}:{(80,1),(81,1),(87,1),(140,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(88,1),(138,1),(140,1),(141,1),(142,1),(206,1),(216,1),(271,1),(301,1),(312,1)}
       111:{1,3,5,6,7}:{(82,1),(84,1),(89,1),(139,1),(141,1),(142,1),(154,1),(205,1),(207,1),(255,1),(262,1),(298,1)}
       112:{3,6,7}:{(83,1),(91,1)}
       113:{2,4,6,7}:{(84,1),(92,1),(142,1),(143,1),(144,1),(156,1),(294,1),(312,1)}
       114:{2,3,4,5,7}:{(85,1),(94,1),(135,1),(145,1),(146,1),(155,1),(218,1),(266,1),(294,1),(310,1),(311,1)}
       115:{1,3,4,7}:{(85,1),(87,1),(95,1),(147,1),(213,1),(217,1)}
       116:{2,3,5,7}:{(86,1),(89,1),(96,1),(148,1),(149,1),(215,1)}
       117:{2,4,6,7}:{(86,1),(90,1),(97,1),(148,1),(149,1),(216,1),(268,1),(301,1)}
       118:{2,5,7}:{(87,1),(98,1),(140,1),(147,1)}
       119:{1,3,5,7}:{(88,1),(91,1),(99,1),(141,1),(151,1),(152,1),(200,1),(213,1),(215,1),(311,1)}
       120:{1,4,7}:{(89,1),(92,1),(100,1),(148,1)}
       121:{1,3,5,7}:{(90,1),(93,1),(101,1),(149,1),(153,1),(154,1),(215,1),(262,1)}
       122:{3,4,7}:{(91,1),(92,1),(102,1)}
       123:{2,4,5,7}:{(92,1),(93,1),(103,1),(153,1),(155,1),(156,1)}
       124:{2,3,5,6}:{(93,1),(154,1),(156,1),(209,1),(263,1),(270,1)}
       125:{1,3,4,5}:{(94,1),(95,1),(157,1),(220,1),(225,1)}
       126:{2,4,6}:{(95,1),(98,1),(147,1),(157,1),(159,1)}
       127:{2,4,6}:{(96,1),(100,1),(148,1),(160,1),(161,1)}
       128:{2,5}:{(97,1),(101,1)}
       129:{1,2,5,6}:{(98,1),(150,1),(158,1),(162,1),(273,1),(301,1)}
       130:{2,3,5,6}:{(98,1),(99,1),(151,1),(159,1),(162,1),(163,1),(222,1),(224,1),(263,1),(270,1),(273,1),(301,1)}
       131:{1,3,4,6}:{(99,1),(100,1),(102,1),(152,1),(160,1),(163,1),(164,1),(254,1),(292,1),(309,1)}
       132:{1,4,5}:{(100,1),(101,1),(103,1),(161,1)}
       133:{3,4,5}:{(102,1),(103,1)}
       134:{2,4,5,6}:{(104,1),(105,1),(165,1),(166,1),(302,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(165,1),(167,1),(176,1),(236,1)}
       136:{1,4,5,7}:{(105,1),(107,1),(166,1),(167,1),(168,1),(278,1)}
       137:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(167,1),(169,1),(170,1),(178,1),(230,1),(231,1),(235,1),(278,1)}
       138:{2,4,6,7}:{(107,1),(108,1),(168,1),(170,1)}
       139:{2,3,5,6,7}:{(108,1),(111,1),(116,1),(170,1),(171,1),(173,1),(184,1),(229,1),(233,1),(236,1),(245,1),(283,1)}
       140:{2,6,7}:{(109,1),(118,1)}
       141:{1,3,6,7}:{(110,1),(112,1),(119,1),(170,1),(173,1),(245,1),(290,1),(314,1)}
       142:{1,4,6,7}:{(111,1),(113,1),(120,1),(171,1),(175,1),(188,1),(278,1),(306,1)}
       143:{3,4,6,7}:{(112,1),(113,1),(122,1),(176,1),(189,1),(304,1),(314,1)}
       144:{2,4,5,7}:{(113,1),(175,1),(176,1),(177,1),(236,1)}
       145:{2,3,4,6}:{(114,1),(165,1),(178,1),(189,1),(247,1),(285,1),(302,1),(314,1)}
       146:{1,3,4,5,7}:{(114,1),(115,1),(125,1),(167,1),(178,1),(179,1),(230,1),(240,1),(246,1),(276,1),(278,1),(303,1)}
       147:{2,4,7}:{(115,1),(118,1),(126,1),(181,1)}
       148:{2,4,7}:{(116,1),(120,1),(127,1),(182,1)}
       149:{2,5,7}:{(117,1),(121,1),(128,1),(184,1)}
       150:{1,2,5,7}:{(118,1),(129,1),(172,1),(180,1),(185,1),(289,1)}
       151:{2,3,5,7}:{(118,1),(119,1),(130,1),(173,1),(181,1),(185,1),(186,1),(236,1),(242,1),(289,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(122,1),(131,1),(182,1),(186,1),(230,1),(278,1),(304,1)}
       153:{1,4,5,7}:{(120,1),(121,1),(123,1),(132,1),(183,1),(188,1)}
       154:{1,3,5,6}:{(121,1),(124,1),(184,1),(188,1),(245,1),(284,1),(290,1)}
       155:{3,4,5,7}:{(122,1),(123,1),(133,1),(176,1),(189,1)}
       156:{2,4,6}:{(123,1),(124,1),(188,1),(189,1)}
       157:{2,4,5}:{(125,1),(126,1),(191,1)}
       158:{1,2,4,6}:{(126,1),(129,1),(180,1),(190,1),(192,1),(195,1),(250,1)}
       159:{2,3,6}:{(126,1),(181,1),(191,1),(192,1)}
       160:{3,4,6}:{(127,1),(182,1),(194,1),(245,1)}
       161:{2,4,5}:{(127,1),(128,1),(132,1),(194,1)}
       162:{1,3,5,6}:{(129,1),(130,1),(185,1),(192,1),(195,1),(251,1),(284,1),(290,1)}
       163:{2,4,6}:{(130,1),(131,1),(186,1),(195,1),(196,1)}
       164:{1,3,4,5}:{(131,1),(132,1),(133,1),(194,1),(196,1),(251,1),(276,1),(303,1),(313,1)}
       165:{2,3,5,6}:{(134,1),(135,1),(145,1),(197,1),(209,1),(263,1)}
       166:{1,4,5,6}:{(134,1),(136,1),(197,1),(198,1),(292,1)}
       167:{1,3,5,7}:{(135,1),(136,1),(137,1),(197,1),(199,1),(200,1),(262,1)}
       168:{2,4,5,7}:{(136,1),(138,1),(198,1),(199,1),(200,1),(256,1)}
       169:{2,4,6,7}:{(137,1),(140,1),(147,1),(199,1),(202,1),(210,1),(256,1)}
       170:{3,6,7}:{(138,1),(200,1)}
       171:{2,4,6,7}:{(139,1),(142,1),(148,1),(203,1),(204,1),(216,1),(256,1),(296,1)}
       172:{1,2,6,7}:{(140,1),(150,1),(205,1),(301,1)}
       173:{2,3,6,7}:{(140,1),(141,1),(151,1),(205,1),(206,1),(270,1),(301,1)}
       174:{1,3,4,6,7}:{(141,1),(142,1),(143,1),(152,1),(203,1),(206,1),(207,1),(219,1)}
       175:{1,4,5,7}:{(142,1),(144,1),(204,1),(207,1),(208,1),(262,1)}
       176:{3,5,7}:{(143,1),(144,1),(209,1)}
       177:{2,4,5,6}:{(144,1),(156,1),(208,1),(209,1),(263,1),(312,1)}
       178:{1,3,4,6}:{(145,1),(146,1),(197,1),(210,1),(254,1),(264,1),(271,1),(292,1)}
       179:{2,4,5,7}:{(146,1),(147,1),(157,1),(199,1),(210,1),(212,1),(256,1),(293,1)}
       180:{1,2,4,7}:{(147,1),(150,1),(158,1),(213,1),(217,1),(268,1)}
       181:{2,3,7}:{(147,1),(159,1),(213,1)}
       182:{3,4,7}:{(148,1),(160,1),(215,1)}
       183:{2,4,5,7}:{(148,1),(149,1),(153,1),(161,1),(215,1),(216,1)}
       184:{2,5,6}:{(149,1),(154,1),(216,1),(301,1)}
       185:{1,3,5,7}:{(150,1),(151,1),(162,1),(205,1),(213,1),(217,1),(262,1)}
       186:{2,4,7}:{(151,1),(152,1),(163,1),(217,1)}
       187:{1,3,4,5,7}:{(152,1),(153,1),(155,1),(164,1),(207,1),(215,1),(218,1),(219,1),(257,1),(269,1),(295,1),(311,1)}
       188:{1,4,6}:{(153,1),(154,1),(156,1),(216,1)}
       189:{3,4,6}:{(155,1),(156,1),(209,1)}
       190:{1,2,4,5}:{(157,1),(158,1),(220,1),(225,1),(272,1),(273,1)}
       191:{2,3,5}:{(157,1),(159,1),(220,1),(221,1)}
       192:{1,3,6}:{(158,1),(159,1),(213,1),(220,1),(222,1)}
       193:{2,3,4,6}:{(159,1),(160,1),(163,1),(214,1),(221,1),(223,1),(224,1),(270,1),(309,1)}
       194:{3,5}:{(160,1),(161,1)}
       195:{1,4,6}:{(162,1),(163,1),(217,1),(225,1)}
       196:{2,4,5}:{(163,1),(164,1),(224,1),(225,1),(273,1)}
       197:{1,3,5,6}:{(165,1),(166,1),(167,1),(178,1),(226,1),(227,1),(284,1)}
       198:{2,4,5,6}:{(166,1),(168,1),(226,1),(227,1),(275,1)}
       199:{2,5,7}:{(167,1),(169,1),(226,1)}
       200:{3,5,7}:{(168,1),(170,1),(227,1),(230,1)}
       201:{1,2,4,6,7}:{(169,1),(172,1),(180,1),(228,1),(231,1),(235,1),(238,1),(278,1),(281,1)}
       202:{2,3,6,7}:{(169,1),(170,1),(181,1),(229,1),(231,1),(239,1)}
       203:{3,4,6,7}:{(170,1),(171,1),(182,1),(230,1),(233,1),(245,1),(280,1)}
       204:{2,4,5,7}:{(171,1),(175,1),(233,1),(234,1),(236,1)}
       205:{1,3,6,7}:{(172,1),(173,1),(185,1),(235,1),(290,1)}
       206:{2,4,6,7}:{(173,1),(174,1),(186,1),(235,1),(236,1),(247,1)}
       207:{1,3,5,7}:{(174,1),(175,1),(176,1),(233,1),(236,1),(237,1)}
       208:{1,4,5,6}:{(175,1),(177,1),(188,1),(234,1),(237,1),(284,1),(306,1)}
       209:{3,5,6}:{(176,1),(177,1),(189,1),(314,1)}
       210:{2,4,6}:{(178,1),(179,1),(226,1),(239,1)}
       211:{1,2,4,5,7}:{(179,1),(180,1),(190,1),(228,1),(238,1),(240,1),(246,1),(278,1),(288,1),(289,1),(303,1),(305,1),(308,1)}
       212:{2,3,5,7}:{(179,1),(181,1),(191,1),(239,1),(240,1),(241,1),(287,1)}
       213:{1,3,7}:{(180,1),(181,1),(192,1),(242,1)}
       214:{2,3,4,7}:{(181,1),(182,1),(186,1),(193,1),(243,1),(244,1),(304,1)}
       215:{3,5,7}:{(182,1),(183,1),(194,1),(245,1)}
       216:{2,4,6}:{(183,1),(184,1),(188,1),(245,1)}
       217:{1,4,7}:{(185,1),(186,1),(195,1)}
       218:{2,4,5,7}:{(186,1),(187,1),(196,1),(236,1),(244,1),(246,1),(247,1),(289,1)}
       219:{1,3,4,6}:{(187,1),(188,1),(189,1),(237,1),(245,1),(247,1),(280,1),(290,1),(306,1),(314,1)}
       220:{1,3,5}:{(190,1),(191,1),(192,1),(248,1),(249,1)}
       221:{2,3,4}:{(191,1),(249,1)}
       222:{2,3,6}:{(192,1),(242,1),(248,1),(250,1)}
       223:{1,3,4,6}:{(192,1),(193,1),(195,1),(243,1),(249,1),(250,1),(251,1),(290,1)}
       224:{2,3,5}:{(193,1),(194,1),(196,1),(251,1),(313,1)}
       225:{1,4,5}:{(195,1),(196,1),(251,1)}
       226:{2,5,6}:{(197,1),(199,1),(210,1)}
       227:{3,5,6}:{(198,1),(200,1),(254,1)}
       228:{1,2,5,7}:{(199,1),(201,1),(252,1),(255,1),(262,1),(297,1)}
       229:{2,3,5,7}:{(199,1),(200,1),(202,1),(253,1),(255,1),(256,1)}
       230:{3,4,7}:{(200,1),(254,1),(256,1)}
       231:{1,3,6,7}:{(201,1),(202,1),(213,1),(255,1),(258,1),(264,1)}
       232:{2,3,4,6,7}:{(202,1),(203,1),(206,1),(214,1),(256,1),(259,1),(260,1),(265,1),(270,1),(296,1)}
       233:{3,5,7}:{(203,1),(204,1),(261,1)}
       234:{2,4,5,6}:{(204,1),(208,1),(216,1),(261,1),(263,1),(296,1)}
       235:{1,4,6,7}:{(205,1),(206,1),(217,1),(262,1),(271,1)}
       236:{2,5,7}:{(206,1),(207,1),(262,1),(263,1)}
       237:{1,3,5,6}:{(207,1),(208,1),(209,1),(219,1),(261,1),(263,1)}
       238:{1,2,4,6}:{(210,1),(211,1),(252,1),(264,1),(271,1),(292,1),(299,1),(301,1),(312,1)}
       239:{2,3,6}:{(210,1),(212,1),(264,1)}
       240:{1,3,5,7}:{(211,1),(212,1),(213,1),(220,1),(264,1),(266,1),(267,1),(300,1),(311,1)}
       241:{2,3,4,7}:{(212,1),(221,1),(256,1),(265,1),(267,1)}
       242:{2,3,7}:{(213,1),(222,1),(268,1)}
       243:{1,3,4,7}:{(213,1),(214,1),(217,1),(223,1),(268,1),(269,1)}
       244:{2,3,5,7}:{(214,1),(215,1),(218,1),(224,1),(269,1),(270,1),(311,1)}
       245:{3,6}:{(215,1),(216,1)}
       246:{1,4,5,7}:{(217,1),(218,1),(225,1),(262,1),(269,1),(271,1)}
       247:{2,4,6}:{(218,1),(219,1),(263,1),(270,1),(271,1),(301,1)}
       248:{2,3,5}:{(220,1),(222,1),(272,1),(273,1)}
       249:{1,3,4}:{(220,1),(221,1),(272,1)}
       250:{2,4,6}:{(222,1),(223,1),(268,1),(272,1),(273,1),(301,1)}
       251:{1,3,5}:{(223,1),(224,1),(225,1),(273,1)}
       252:{1,2,5,6}:{(226,1),(228,1),(238,1),(274,1),(284,1),(307,1),(308,1)}
       253:{2,3,5,6}:{(226,1),(227,1),(229,1),(239,1),(274,1),(275,1),(287,1)}
       254:{3,4,6}:{(227,1),(230,1),(275,1),(276,1)}
       255:{1,3,5,7}:{(228,1),(229,1),(231,1),(274,1),(277,1),(278,1)}
       256:{2,4,7}:{(229,1),(230,1),(275,1),(278,1)}
       257:{3,4,5,7}:{(230,1),(233,1),(276,1),(279,1),(280,1)}
       258:{2,3,6,7}:{(231,1),(242,1),(277,1),(281,1),(285,1),(314,1)}
       259:{1,3,4,6,7}:{(231,1),(232,1),(235,1),(243,1),(278,1),(281,1),(282,1),(286,1),(290,1),(304,1),(306,1),(314,1)}
       260:{2,3,5,7}:{(232,1),(233,1),(236,1),(279,1),(282,1),(283,1),(287,1)}
       261:{3,5,6}:{(233,1),(234,1),(245,1),(280,1)}
       262:{1,5,7}:{(235,1),(236,1),(284,1)}
       263:{2,5,6}:{(236,1),(237,1),(247,1),(284,1)}
       264:{1,3,6}:{(238,1),(239,1),(240,1),(285,1),(314,1)}
       265:{2,3,4,6}:{(239,1),(241,1),(275,1),(286,1),(287,1)}
       266:{2,3,5,7}:{(240,1),(242,1),(248,1),(285,1),(288,1),(289,1),(308,1)}
       267:{1,3,4,7}:{(240,1),(241,1),(249,1),(278,1),(286,1),(288,1),(304,1)}
       268:{2,4,7}:{(242,1),(243,1),(250,1),(289,1)}
       269:{1,3,5,7}:{(243,1),(244,1),(246,1),(251,1),(289,1),(290,1)}
       270:{2,3,6}:{(244,1),(245,1),(247,1),(290,1),(314,1)}
       271:{1,4,6}:{(246,1),(247,1),(284,1),(290,1)}
       272:{2,4}:{(248,1),(249,1)}
       273:{2,5}:{(250,1),(251,1)}
       274:{1,3,5,6}:{(252,1),(253,1),(255,1),(264,1),(291,1),(292,1),(300,1)}
       275:{2,4,6}:{(253,1),(254,1),(256,1),(292,1),(293,1)}
       276:{3,4,5}:{(254,1),(293,1)}
       277:{2,3,5,7}:{(255,1),(258,1),(291,1),(294,1),(297,1),(311,1)}
       278:{1,4,7}:{(255,1),(256,1),(292,1),(294,1)}
       279:{2,4,5,7}:{(256,1),(257,1),(260,1),(293,1),(295,1),(296,1)}
       280:{3,4,6}:{(257,1),(261,1),(296,1)}
       281:{2,4,6,7}:{(258,1),(259,1),(268,1),(294,1),(297,1),(299,1),(301,1),(312,1)}
       282:{1,3,5,7}:{(259,1),(260,1),(262,1),(295,1),(297,1),(298,1),(300,1),(311,1)}
       283:{2,3,5,6}:{(260,1),(261,1),(263,1),(270,1),(296,1),(298,1)}
       284:{1,5,6}:{(262,1),(263,1),(271,1)}
       285:{2,3,6}:{(264,1),(266,1),(299,1),(301,1)}
       286:{1,3,4,6}:{(264,1),(265,1),(267,1),(292,1),(299,1),(300,1),(309,1)}
       287:{2,3,5}:{(265,1),(293,1),(300,1)}
       288:{2,4,7}:{(266,1),(267,1),(272,1),(299,1)}
       289:{2,5,7}:{(268,1),(269,1),(273,1),(301,1)}
       290:{1,3,6}:{(269,1),(270,1),(271,1),(301,1)}
       291:{2,3,5,6}:{(274,1),(277,1),(285,1),(302,1),(307,1),(308,1),(313,1),(314,1)}
       292:{1,4,6}:{(274,1),(275,1),(278,1),(302,1),(303,1)}
       293:{2,4,5}:{(275,1),(276,1),(287,1),(303,1)}
       294:{2,4,7}:{(277,1),(278,1),(302,1),(304,1)}
       295:{1,4,5,7}:{(278,1),(279,1),(282,1),(303,1),(305,1),(306,1)}
       296:{2,4,6}:{(279,1),(280,1),(283,1),(306,1)}
       297:{2,5,7}:{(281,1),(282,1),(307,1),(308,1)}
       298:{1,3,5,6}:{(282,1),(283,1),(284,1),(290,1),(306,1),(307,1),(314,1)}
       299:{2,4,6}:{(285,1),(286,1),(288,1),(308,1)}
       300:{1,3,5}:{(286,1),(287,1),(303,1),(308,1),(313,1)}
       301:{2,6}:{(289,1),(290,1)}
       302:{2,4,6}:{(291,1),(292,1),(294,1),(309,1),(310,1)}
       303:{1,4,5}:{(292,1),(293,1),(300,1),(310,1)}
       304:{3,4,7}:{(294,1),(309,1),(311,1)}
       305:{2,4,5,7}:{(294,1),(295,1),(297,1),(310,1),(311,1),(312,1)}
       306:{1,4,6}:{(295,1),(296,1),(298,1),(312,1)}
       307:{2,5,6}:{(297,1),(298,1),(301,1),(312,1)}
       308:{2,5}:{(299,1),(300,1)}
       309:{3,4,6}:{(302,1),(304,1),(313,1),(314,1)}
       310:{2,4,5}:{(302,1),(303,1),(308,1),(313,1)}
       311:{3,5,7}:{(304,1),(305,1),(313,1),(314,1)}
       312:{2,4,6}:{(305,1),(306,1),(307,1),(314,1)}
       313:{3,5}:{(309,1),(310,1)}
       314:{3,6}:{(311,1),(312,1)}

2432 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(30,1),(123,1),(124,1),(135,1),(137,1),(184,1),(189,1),(226,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(19,1),(99,1),(101,1),(106,1),(109,1),(166,1),(168,1),(218,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(49,1),(97,1),(212,1),(217,1),(250,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(27,1),(69,1),(117,1),(123,1),(135,1),(171,1),(174,1)}
         4:{2,4,5,7}:{(1,1),(10,1),(11,1),(36,1),(79,1),(82,1),(196,1),(197,1)}
         5:{1,3,4,6}:{(1,1),(2,1),(11,1),(12,1),(33,1),(76,1),(83,1),(243,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(227,1),(230,1)}
         7:{1,2,4,5,7}:{(4,1),(16,1),(17,1),(48,1),(51,1),(96,1),(99,1),(101,1),(153,1),(218,1),(219,1),(220,1),(263,1)}
         8:{1,3,4,6,7}:{(3,1),(5,1),(18,1),(19,1),(44,1),(50,1),(89,1),(99,1),(106,1),(147,1),(166,1),(204,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(19,1),(20,1),(200,1),(203,1)}
        10:{2,3,5,7}:{(4,1),(16,1),(21,1),(22,1),(59,1),(224,1),(225,1)}
        11:{2,4,6}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,3,5,6}:{(5,1),(6,1),(19,1),(23,1),(24,1),(61,1),(255,1)}
        13:{2,4,5,6}:{(6,1),(20,1),(24,1),(25,1),(97,1)}
        14:{2,3,5,6,7}:{(9,1),(26,1),(27,1),(29,1),(68,1),(117,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(29,1),(68,1),(170,1),(182,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(30,1),(32,1),(33,1),(75,1),(184,1),(245,1),(246,1)}
        17:{1,2,4,6}:{(7,1),(11,1),(33,1),(34,1),(70,1),(76,1),(183,1),(243,1),(281,1)}
        18:{2,4,6,7}:{(8,1),(11,1),(35,1),(36,1),(79,1),(179,1),(196,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(12,1),(36,1),(37,1),(80,1),(231,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(27,1),(37,1),(38,1),(123,1)}
        21:{2,3,4,7}:{(10,1),(32,1),(39,1),(79,1),(249,1)}
        22:{2,3,6}:{(10,1),(11,1),(33,1)}
        23:{2,5,6}:{(11,1),(12,1),(36,1)}
        24:{1,4,5,6}:{(12,1),(13,1),(37,1),(41,1),(76,1)}
        25:{3,4,5,6}:{(13,1),(38,1),(125,1),(227,1)}
        26:{1,3,5,6,7}:{(14,1),(19,1),(43,1),(44,1),(89,1),(93,1),(147,1)}
        27:{2,4,6,7}:{(14,1),(20,1),(44,1),(45,1)}
        28:{1,4,5,6,7}:{(15,1),(44,1),(46,1),(47,1),(93,1),(141,1),(150,1)}
        29:{3,5,6,7}:{(15,1),(45,1),(200,1),(211,1)}
        30:{2,3,5,7}:{(16,1),(48,1),(49,1),(96,1),(263,1),(264,1),(265,1)}
        31:{1,2,4,6,7}:{(17,1),(18,1),(50,1),(51,1),(94,1),(99,1),(204,1),(205,1),(219,1)}
        32:{1,3,4,7}:{(16,1),(21,1),(48,1),(52,1),(99,1),(154,1),(268,1)}
        33:{1,3,6}:{(16,1),(17,1),(22,1),(49,1),(212,1)}
        34:{1,2,5,6}:{(17,1),(23,1),(51,1),(53,1),(96,1),(152,1),(255,1)}
        35:{2,3,6,7}:{(18,1),(22,1),(50,1),(56,1),(89,1),(224,1)}
        36:{2,5,7}:{(18,1),(19,1),(23,1)}
        37:{1,4,5,7}:{(19,1),(20,1),(24,1),(44,1),(57,1),(99,1)}
        38:{3,4,5,7}:{(20,1),(25,1),(45,1),(154,1),(200,1)}
        39:{2,3,4,6}:{(21,1),(22,1),(52,1),(59,1),(60,1)}
        40:{2,3,5,6}:{(22,1),(23,1),(53,1),(56,1),(59,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(23,1),(24,1),(57,1),(60,1),(61,1)}
        42:{1,3,4,5,6}:{(24,1),(25,1),(58,1),(61,1),(62,1),(102,1),(111,1),(148,1),(202,1),(209,1),(260,1)}
        43:{2,5,6,7}:{(26,1),(36,1),(65,1),(179,1)}
        44:{1,4,6,7}:{(26,1),(27,1),(37,1),(65,1)}
        45:{3,4,6,7}:{(27,1),(29,1),(38,1)}
        46:{2,4,5,6,7}:{(28,1),(65,1),(67,1),(68,1),(115,1),(120,1)}
        47:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(68,1),(173,1)}
        48:{2,4,7}:{(30,1),(32,1),(70,1),(283,1)}
        49:{2,3,6}:{(30,1),(33,1),(70,1),(281,1)}
        50:{1,3,6,7}:{(31,1),(33,1),(35,1),(69,1),(73,1),(245,1)}
        51:{1,2,5,7}:{(31,1),(34,1),(36,1),(73,1),(122,1),(231,1)}
        52:{1,3,4,6}:{(32,1),(33,1),(39,1),(70,1),(75,1),(76,1),(125,1)}
        53:{1,3,5,6}:{(33,1),(34,1),(40,1),(71,1),(73,1),(75,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(41,1),(74,1),(76,1),(77,1),(85,1),(124,1),(131,1),(139,1),(172,1),(183,1),(192,1),(193,1),(230,1),(236,1),(241,1),(243,1),(276,1),(281,1),(299,1),(303,1),(313,1)}
        55:{2,3,4,6,7}:{(35,1),(39,1),(72,1),(78,1),(79,1),(116,1),(133,1),(174,1),(185,1),(238,1)}
        56:{2,3,5,7}:{(35,1),(36,1),(40,1),(73,1),(79,1),(80,1)}
        57:{2,4,5,7}:{(36,1),(37,1),(41,1),(65,1),(79,1),(80,1)}
        58:{1,3,4,5,7}:{(37,1),(38,1),(42,1),(66,1),(80,1),(81,1),(119,1),(128,1),(136,1),(173,1),(181,1),(237,1)}
        59:{2,3,5}:{(39,1),(75,1),(82,1)}
        60:{2,4,6}:{(40,1),(76,1),(79,1),(82,1),(83,1)}
        61:{3,5,6}:{(41,1),(80,1),(83,1)}
        62:{2,4,5,6}:{(42,1),(81,1),(84,1),(85,1),(131,1),(139,1),(230,1)}
        63:{1,2,5,6,7}:{(43,1),(51,1),(86,1),(87,1),(93,1),(151,1),(152,1),(203,1),(205,1),(255,1),(256,1),(289,1)}
        64:{2,3,5,6,7}:{(43,1),(56,1),(86,1),(88,1),(89,1),(104,1),(143,1),(145,1),(203,1),(289,1),(290,1),(307,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(57,1),(89,1)}
        66:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(58,1),(89,1),(90,1),(91,1),(147,1),(150,1),(211,1)}
        67:{3,5,6,7}:{(46,1),(89,1),(91,1),(145,1)}
        68:{2,5,6,7}:{(47,1),(90,1),(93,1),(203,1)}
        69:{2,3,6,7}:{(49,1),(50,1),(94,1),(95,1),(212,1),(264,1)}
        70:{2,4,6}:{(48,1),(49,1),(52,1),(96,1)}
        71:{2,3,5,6}:{(49,1),(53,1),(95,1),(96,1),(97,1),(152,1),(155,1),(212,1)}
        72:{1,3,4,6,7}:{(50,1),(52,1),(55,1),(94,1),(98,1),(99,1),(154,1),(157,1),(204,1),(212,1),(214,1),(262,1)}
        73:{1,3,5,7}:{(50,1),(51,1),(53,1),(56,1),(95,1),(99,1)}
        74:{1,2,4,5,7}:{(51,1),(54,1),(57,1),(87,1),(99,1),(100,1),(108,1),(141,1),(153,1),(159,1),(167,1),(203,1),(210,1),(218,1),(219,1),(256,1),(263,1),(288,1),(292,1)}
        75:{1,3,5}:{(52,1),(59,1),(96,1),(101,1),(155,1)}
        76:{1,4,6}:{(53,1),(60,1),(97,1),(99,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(61,1),(100,1),(102,1),(103,1),(155,1),(212,1),(215,1),(221,1),(260,1),(262,1),(307,1),(314,1)}
        78:{2,3,5,7}:{(55,1),(59,1),(98,1),(104,1),(105,1),(145,1),(203,1)}
        79:{2,4,7}:{(56,1),(60,1),(99,1),(106,1)}
        80:{3,5,7}:{(57,1),(61,1),(89,1),(106,1)}
        81:{2,4,5,7}:{(58,1),(62,1),(90,1),(107,1),(108,1),(159,1),(167,1),(203,1)}
        82:{2,4,5}:{(59,1),(60,1),(101,1),(109,1)}
        83:{3,4,6}:{(60,1),(61,1),(106,1),(109,1)}
        84:{2,3,5,6}:{(61,1),(62,1),(107,1),(110,1),(111,1),(260,1)}
        85:{1,4,5,6}:{(62,1),(108,1),(111,1),(162,1),(255,1)}
        86:{1,3,5,6,7}:{(63,1),(64,1),(73,1),(112,1),(113,1),(114,1),(126,1),(173,1),(175,1),(231,1),(273,1),(277,1)}
        87:{1,2,4,6,7}:{(63,1),(65,1),(74,1),(113,1),(114,1),(118,1),(174,1),(179,1),(182,1),(183,1),(243,1),(281,1),(299,1)}
        88:{2,4,6,7}:{(64,1),(79,1),(113,1),(115,1),(116,1),(133,1),(299,1),(302,1)}
        89:{3,6,7}:{(65,1),(80,1)}
        90:{2,4,6,7}:{(66,1),(68,1),(81,1),(117,1),(118,1),(179,1)}
        91:{3,4,6,7}:{(67,1),(119,1),(120,1)}
        92:{2,3,5,6,7}:{(67,1),(68,1),(117,1),(120,1),(121,1),(177,1)}
        93:{1,5,6,7}:{(68,1),(118,1),(231,1)}
        94:{2,4,6,7}:{(69,1),(70,1),(72,1),(122,1),(123,1),(183,1),(240,1),(281,1)}
        95:{2,3,5,7}:{(69,1),(71,1),(73,1),(122,1),(123,1),(184,1)}
        96:{2,5}:{(70,1),(75,1)}
        97:{2,4,6}:{(71,1),(76,1),(123,1),(124,1),(125,1)}
        98:{1,3,5,7}:{(72,1),(75,1),(78,1),(122,1),(126,1),(127,1),(184,1),(231,1)}
        99:{1,4,7}:{(73,1),(76,1),(79,1),(123,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(80,1),(114,1),(128,1),(129,1),(184,1),(237,1),(245,1),(300,1)}
       101:{1,4,5}:{(75,1),(76,1),(82,1),(124,1)}
       102:{1,3,4,6}:{(76,1),(77,1),(83,1),(125,1),(128,1),(130,1),(131,1),(280,1),(303,1),(312,1)}
       103:{2,3,5,6}:{(77,1),(129,1),(131,1),(132,1),(139,1),(186,1),(198,1),(230,1),(238,1),(241,1),(242,1),(281,1)}
       104:{2,3,5,6}:{(78,1),(126,1),(133,1),(176,1),(230,1),(238,1)}
       105:{2,4,5,7}:{(78,1),(79,1),(82,1),(127,1),(133,1),(134,1)}
       106:{3,4,7}:{(79,1),(80,1),(83,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(84,1),(117,1),(135,1),(136,1),(237,1)}
       108:{1,4,5,7}:{(81,1),(85,1),(118,1),(136,1),(190,1),(231,1)}
       109:{3,4,5}:{(82,1),(83,1)}
       110:{2,3,4,6}:{(83,1),(84,1),(131,1),(135,1),(137,1),(138,1),(242,1),(280,1)}
       111:{1,3,5,6}:{(84,1),(85,1),(136,1),(138,1),(139,1)}
       112:{2,3,5,6,7}:{(86,1),(95,1),(140,1),(143,1),(151,1),(152,1),(200,1),(203,1),(211,1),(212,1),(252,1),(259,1)}
       113:{1,4,6,7}:{(86,1),(88,1),(99,1),(140,1),(141,1),(157,1),(287,1),(292,1)}
       114:{1,3,6,7}:{(87,1),(89,1),(100,1),(143,1),(211,1),(212,1),(262,1),(307,1)}
       115:{2,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(203,1)}
       116:{3,4,6,7}:{(88,1),(89,1),(106,1),(145,1),(164,1),(307,1),(308,1)}
       117:{2,3,6,7}:{(89,1),(90,1),(107,1),(147,1),(211,1)}
       118:{1,4,6,7}:{(90,1),(93,1),(108,1),(147,1)}
       119:{3,4,5,7}:{(91,1),(145,1),(148,1),(149,1),(308,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(149,1),(150,1)}
       121:{1,3,5,6,7}:{(92,1),(93,1),(147,1),(150,1),(151,1),(207,1),(211,1)}
       122:{2,5,7}:{(94,1),(96,1),(98,1),(152,1)}
       123:{2,4,7}:{(95,1),(97,1),(99,1),(154,1)}
       124:{2,4,5}:{(96,1),(97,1),(101,1),(155,1)}
       125:{3,4,6}:{(97,1),(154,1),(155,1),(212,1)}
       126:{1,3,5,6}:{(98,1),(104,1),(152,1),(157,1),(212,1),(255,1),(262,1)}
       127:{1,4,5,7}:{(98,1),(99,1),(101,1),(105,1),(153,1),(157,1)}
       128:{1,3,4,7}:{(99,1),(100,1),(102,1),(106,1),(154,1),(159,1),(261,1),(292,1),(308,1)}
       129:{2,3,5,7}:{(100,1),(103,1),(143,1),(159,1),(160,1),(167,1),(203,1),(224,1),(263,1),(264,1)}
       130:{1,3,4,5}:{(101,1),(102,1),(109,1),(155,1),(161,1),(215,1),(294,1),(310,1),(314,1)}
       131:{2,4,6}:{(102,1),(103,1),(159,1),(161,1),(162,1)}
       132:{1,3,5,6}:{(103,1),(160,1),(162,1),(163,1),(215,1),(221,1),(255,1),(262,1)}
       133:{2,4,6}:{(104,1),(105,1),(157,1),(164,1)}
       134:{3,4,5,7}:{(105,1),(106,1),(109,1),(145,1),(164,1)}
       135:{2,3,4,7}:{(106,1),(107,1),(110,1),(159,1),(166,1),(261,1),(264,1)}
       136:{1,3,5,7}:{(107,1),(108,1),(111,1),(147,1),(166,1),(167,1)}
       137:{2,3,4,5}:{(109,1),(110,1),(161,1),(168,1),(265,1),(294,1)}
       138:{1,3,4,6}:{(110,1),(111,1),(162,1),(166,1),(168,1),(169,1),(221,1)}
       139:{2,5,6}:{(111,1),(167,1),(169,1)}
       140:{2,4,6,7}:{(112,1),(113,1),(123,1),(170,1),(171,1),(183,1),(271,1),(279,1)}
       141:{1,4,5,7}:{(113,1),(115,1),(170,1),(172,1),(173,1),(231,1)}
       142:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(128,1),(171,1),(173,1),(174,1),(188,1)}
       143:{2,3,6,7}:{(114,1),(129,1),(174,1),(175,1),(179,1),(238,1),(281,1)}
       144:{2,4,5,6}:{(115,1),(133,1),(172,1),(176,1),(230,1),(299,1)}
       145:{3,5,7}:{(115,1),(116,1),(176,1)}
       146:{2,3,4,6,7}:{(116,1),(117,1),(120,1),(135,1),(174,1),(177,1),(178,1),(194,1),(275,1),(302,1)}
       147:{1,3,6,7}:{(117,1),(118,1),(136,1),(179,1)}
       148:{3,4,5,6}:{(119,1),(176,1),(180,1),(312,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(177,1),(180,1),(181,1),(302,1)}
       150:{1,4,6,7}:{(120,1),(121,1),(181,1),(182,1)}
       151:{2,5,6,7}:{(121,1),(179,1),(182,1),(234,1)}
       152:{2,5,6}:{(122,1),(126,1),(183,1),(281,1)}
       153:{2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(183,1),(184,1)}
       154:{3,4,7}:{(123,1),(125,1),(184,1)}
       155:{3,5}:{(124,1),(125,1)}
       156:{2,3,4,6}:{(125,1),(131,1),(185,1),(186,1),(187,1),(198,1),(238,1),(249,1),(312,1)}
       157:{1,4,6}:{(126,1),(127,1),(133,1),(183,1)}
       158:{1,3,4,5,7}:{(127,1),(128,1),(130,1),(134,1),(173,1),(184,1),(188,1),(189,1),(226,1),(239,1),(272,1),(300,1)}
       159:{2,4,7}:{(128,1),(129,1),(131,1),(190,1)}
       160:{1,3,5,7}:{(129,1),(132,1),(175,1),(190,1),(191,1),(231,1),(245,1)}
       161:{2,4,5}:{(130,1),(131,1),(186,1),(192,1),(241,1)}
       162:{1,4,6}:{(131,1),(132,1),(190,1),(192,1)}
       163:{1,2,5,6}:{(132,1),(139,1),(191,1),(193,1),(241,1),(281,1)}
       164:{3,4,6}:{(133,1),(134,1),(176,1)}
       165:{2,3,4,5,7}:{(134,1),(135,1),(137,1),(177,1),(189,1),(194,1),(195,1),(282,1),(300,1),(302,1),(313,1)}
       166:{1,3,4,7}:{(135,1),(136,1),(138,1),(190,1),(196,1),(245,1)}
       167:{2,5,7}:{(136,1),(139,1),(179,1),(196,1)}
       168:{1,3,4,5}:{(137,1),(138,1),(192,1),(197,1),(246,1)}
       169:{2,4,6}:{(138,1),(139,1),(196,1),(197,1),(198,1)}
       170:{2,4,5,7}:{(140,1),(141,1),(199,1),(200,1),(203,1)}
       171:{3,4,6,7}:{(140,1),(154,1),(200,1),(211,1),(212,1),(250,1),(261,1)}
       172:{1,4,5,6}:{(141,1),(144,1),(157,1),(199,1),(202,1),(255,1),(287,1)}
       173:{1,3,5,7}:{(141,1),(142,1),(145,1),(200,1),(202,1),(203,1)}
       174:{2,4,6,7}:{(142,1),(143,1),(159,1),(203,1),(204,1),(217,1)}
       175:{1,3,6,7}:{(143,1),(160,1),(204,1),(205,1),(262,1)}
       176:{3,5,6}:{(144,1),(145,1),(164,1),(307,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(149,1),(203,1),(206,1),(207,1)}
       178:{1,3,4,6,7}:{(146,1),(147,1),(150,1),(166,1),(204,1),(207,1),(208,1),(211,1),(222,1),(257,1),(261,1),(292,1)}
       179:{2,6,7}:{(147,1),(167,1)}
       180:{2,4,5,6}:{(148,1),(149,1),(206,1),(209,1),(309,1)}
       181:{1,4,5,7}:{(149,1),(150,1),(207,1),(209,1),(210,1),(292,1)}
       182:{2,4,6,7}:{(150,1),(151,1),(210,1),(211,1)}
       183:{2,4,6}:{(152,1),(153,1),(157,1),(212,1)}
       184:{3,5,7}:{(153,1),(154,1),(155,1),(212,1)}
       185:{2,3,4,7}:{(154,1),(156,1),(159,1),(213,1),(214,1),(224,1),(308,1)}
       186:{2,3,5}:{(155,1),(156,1),(161,1),(215,1),(314,1)}
       187:{1,3,4,6}:{(156,1),(162,1),(214,1),(215,1),(216,1),(221,1),(262,1),(268,1)}
       188:{1,3,4,6}:{(157,1),(158,1),(164,1),(202,1),(212,1),(217,1),(250,1),(262,1),(287,1),(307,1)}
       189:{2,4,5,7}:{(158,1),(159,1),(161,1),(203,1),(213,1),(217,1),(218,1),(263,1)}
       190:{1,4,7}:{(159,1),(160,1),(162,1)}
       191:{1,2,5,7}:{(160,1),(163,1),(167,1),(205,1),(219,1),(263,1)}
       192:{1,4,5}:{(161,1),(162,1),(215,1)}
       193:{1,2,4,6}:{(162,1),(163,1),(169,1),(216,1),(219,1),(220,1),(221,1)}
       194:{2,3,4,6}:{(164,1),(165,1),(206,1),(217,1),(222,1),(295,1),(307,1),(309,1)}
       195:{1,3,4,5,7}:{(165,1),(166,1),(168,1),(207,1),(218,1),(222,1),(223,1),(261,1),(267,1),(292,1),(294,1),(310,1)}
       196:{2,4,7}:{(166,1),(167,1),(169,1),(224,1)}
       197:{2,4,5}:{(168,1),(169,1),(225,1)}
       198:{2,3,6}:{(169,1),(221,1),(224,1),(225,1)}
       199:{2,4,5,6}:{(170,1),(172,1),(183,1),(227,1),(230,1),(271,1)}
       200:{3,5,7}:{(170,1),(171,1),(227,1)}
       201:{2,3,4,6,7}:{(171,1),(174,1),(185,1),(228,1),(229,1),(235,1),(238,1),(271,1),(279,1),(286,1)}
       202:{1,3,5,6}:{(172,1),(173,1),(176,1),(188,1),(227,1),(230,1)}
       203:{2,5,7}:{(173,1),(174,1),(230,1),(231,1)}
       204:{1,4,6,7}:{(174,1),(175,1),(190,1),(231,1),(243,1)}
       205:{1,2,6,7}:{(175,1),(179,1),(191,1),(281,1)}
       206:{2,3,5,6}:{(176,1),(177,1),(180,1),(194,1),(230,1),(233,1)}
       207:{1,3,5,7}:{(177,1),(178,1),(181,1),(231,1),(233,1),(234,1),(237,1)}
       208:{2,4,6,7}:{(178,1),(179,1),(196,1),(234,1),(235,1),(247,1),(279,1)}
       209:{1,4,5,6}:{(180,1),(181,1),(233,1),(236,1),(303,1)}
       210:{2,4,5,7}:{(181,1),(182,1),(234,1),(236,1),(237,1),(279,1)}
       211:{3,6,7}:{(182,1),(237,1)}
       212:{3,6}:{(183,1),(184,1)}
       213:{2,3,5,7}:{(184,1),(185,1),(186,1),(189,1),(238,1),(239,1),(300,1)}
       214:{1,3,4,7}:{(185,1),(187,1),(190,1),(239,1),(240,1),(245,1)}
       215:{1,3,5}:{(186,1),(187,1),(192,1),(241,1)}
       216:{2,4,6}:{(187,1),(240,1),(241,1),(242,1),(281,1),(283,1)}
       217:{2,4,6}:{(188,1),(189,1),(230,1),(238,1),(243,1),(281,1)}
       218:{1,4,5,7}:{(189,1),(190,1),(192,1),(231,1),(239,1),(243,1)}
       219:{1,2,4,7}:{(190,1),(191,1),(193,1),(196,1),(240,1),(245,1)}
       220:{1,2,4,5}:{(192,1),(193,1),(197,1),(241,1),(246,1),(283,1)}
       221:{1,3,6}:{(193,1),(198,1),(242,1),(245,1),(246,1)}
       222:{1,3,4,6}:{(194,1),(195,1),(233,1),(243,1),(247,1),(280,1),(284,1),(303,1)}
       223:{2,4,5,7}:{(195,1),(196,1),(197,1),(234,1),(247,1),(248,1),(279,1),(304,1)}
       224:{2,3,7}:{(196,1),(198,1),(245,1)}
       225:{2,3,5}:{(197,1),(198,1),(246,1),(249,1)}
       226:{3,4,5,7}:{(200,1),(250,1),(251,1),(261,1),(294,1)}
       227:{3,5,6}:{(199,1),(200,1),(212,1),(250,1)}
       228:{2,3,5,7}:{(200,1),(201,1),(203,1),(251,1),(252,1),(253,1),(298,1)}
       229:{1,3,4,6,7}:{(201,1),(204,1),(214,1),(253,1),(254,1),(257,1),(262,1),(287,1),(292,1),(297,1),(307,1),(308,1)}
       230:{2,5,6}:{(202,1),(203,1),(217,1),(255,1)}
       231:{1,5,7}:{(203,1),(204,1),(255,1)}
       232:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(219,1),(254,1),(256,1),(257,1),(266,1),(292,1)}
       233:{1,3,5,6}:{(206,1),(207,1),(209,1),(222,1),(255,1),(258,1),(260,1)}
       234:{2,5,7}:{(207,1),(208,1),(258,1)}
       235:{2,3,6,7}:{(208,1),(211,1),(224,1),(257,1),(259,1),(269,1)}
       236:{2,4,5,6}:{(209,1),(210,1),(258,1),(260,1),(293,1)}
       237:{3,5,7}:{(210,1),(211,1),(260,1),(261,1)}
       238:{2,3,6}:{(212,1),(213,1),(217,1),(262,1),(307,1)}
       239:{1,3,5,7}:{(213,1),(214,1),(215,1),(218,1),(262,1),(263,1)}
       240:{2,4,7}:{(214,1),(216,1),(263,1),(264,1)}
       241:{2,5}:{(215,1),(216,1)}
       242:{2,3,6}:{(216,1),(221,1),(264,1),(265,1)}
       243:{1,4,6}:{(217,1),(218,1),(255,1),(262,1)}
       244:{1,2,4,5,7}:{(218,1),(219,1),(220,1),(223,1),(256,1),(263,1),(266,1),(267,1),(288,1),(292,1),(296,1),(310,1),(311,1)}
       245:{1,3,7}:{(219,1),(221,1),(224,1),(264,1)}
       246:{1,3,5}:{(220,1),(221,1),(225,1),(265,1),(268,1)}
       247:{2,4,6}:{(222,1),(223,1),(258,1),(269,1)}
       248:{2,3,5,7}:{(223,1),(224,1),(225,1),(267,1),(269,1),(270,1),(298,1)}
       249:{2,3,4}:{(225,1),(268,1)}
       250:{3,4,6}:{(226,1),(227,1),(271,1)}
       251:{2,4,5,7}:{(226,1),(228,1),(271,1),(272,1),(279,1),(304,1)}
       252:{2,3,5,6}:{(227,1),(228,1),(230,1),(238,1),(271,1),(273,1)}
       253:{1,3,5,7}:{(228,1),(229,1),(231,1),(272,1),(273,1),(274,1),(300,1),(306,1)}
       254:{2,4,6,7}:{(229,1),(240,1),(274,1),(275,1),(281,1),(299,1),(302,1),(305,1)}
       255:{1,5,6}:{(230,1),(231,1),(243,1)}
       256:{1,2,5,7}:{(231,1),(232,1),(234,1),(274,1),(276,1),(277,1)}
       257:{1,3,6,7}:{(232,1),(235,1),(245,1),(275,1),(277,1),(284,1)}
       258:{2,5,6}:{(233,1),(234,1),(247,1)}
       259:{2,3,5,7}:{(234,1),(235,1),(237,1),(277,1),(278,1),(279,1)}
       260:{3,5,6}:{(236,1),(237,1),(280,1)}
       261:{3,4,7}:{(237,1),(279,1),(280,1)}
       262:{1,3,6}:{(238,1),(239,1),(243,1),(281,1)}
       263:{2,5,7}:{(239,1),(240,1),(241,1),(281,1)}
       264:{2,3,7}:{(240,1),(242,1),(245,1)}
       265:{2,3,5}:{(241,1),(242,1),(246,1),(283,1)}
       266:{1,2,4,6}:{(243,1),(244,1),(247,1),(276,1),(281,1),(284,1),(299,1),(303,1),(305,1)}
       267:{1,3,5,7}:{(244,1),(245,1),(246,1),(248,1),(282,1),(284,1),(285,1),(300,1),(306,1)}
       268:{1,3,4}:{(246,1),(249,1),(283,1)}
       269:{2,3,6}:{(247,1),(248,1),(284,1)}
       270:{2,3,4,7}:{(248,1),(249,1),(279,1),(285,1),(286,1)}
       271:{2,4,6}:{(250,1),(251,1),(252,1),(287,1)}
       272:{1,4,5,7}:{(251,1),(253,1),(287,1),(288,1),(292,1),(310,1)}
       273:{1,3,5,6}:{(252,1),(253,1),(255,1),(262,1),(287,1),(289,1),(307,1)}
       274:{2,5,7}:{(253,1),(254,1),(289,1),(311,1)}
       275:{2,3,6,7}:{(254,1),(257,1),(264,1),(290,1),(295,1),(307,1)}
       276:{1,2,5,6}:{(255,1),(256,1),(258,1),(266,1),(289,1),(291,1),(311,1)}
       277:{1,3,5,7}:{(256,1),(257,1),(259,1),(290,1),(291,1),(292,1)}
       278:{2,3,5,6}:{(258,1),(259,1),(260,1),(269,1),(291,1),(293,1),(298,1)}
       279:{2,4,7}:{(259,1),(261,1),(292,1),(293,1)}
       280:{3,4,6}:{(260,1),(261,1),(293,1),(294,1)}
       281:{2,6}:{(262,1),(263,1)}
       282:{2,3,5,7}:{(263,1),(264,1),(265,1),(267,1),(295,1),(296,1),(311,1)}
       283:{2,4}:{(265,1),(268,1)}
       284:{1,3,6}:{(266,1),(267,1),(269,1),(295,1),(307,1)}
       285:{1,3,4,7}:{(267,1),(268,1),(270,1),(292,1),(296,1),(297,1),(308,1)}
       286:{2,3,4,6}:{(269,1),(270,1),(293,1),(297,1),(298,1)}
       287:{1,4,6}:{(271,1),(272,1),(273,1),(299,1)}
       288:{2,4,5,7}:{(272,1),(274,1),(299,1),(300,1),(302,1),(313,1)}
       289:{2,5,6}:{(273,1),(274,1),(281,1),(299,1)}
       290:{2,3,5,7}:{(274,1),(275,1),(277,1),(300,1),(301,1),(302,1)}
       291:{1,3,5,6}:{(276,1),(277,1),(278,1),(284,1),(301,1),(303,1),(306,1)}
       292:{1,4,7}:{(277,1),(279,1),(302,1),(303,1)}
       293:{2,4,6}:{(278,1),(279,1),(280,1),(303,1),(304,1)}
       294:{3,4,5}:{(280,1),(304,1)}
       295:{2,3,6}:{(281,1),(282,1),(284,1),(305,1)}
       296:{2,4,7}:{(282,1),(283,1),(285,1),(305,1)}
       297:{1,3,4,6}:{(284,1),(285,1),(286,1),(303,1),(305,1),(306,1),(312,1)}
       298:{2,3,5}:{(286,1),(304,1),(306,1)}
       299:{2,4,6}:{(287,1),(288,1),(289,1),(307,1)}
       300:{3,5,7}:{(288,1),(307,1),(308,1),(314,1)}
       301:{2,3,5,6}:{(289,1),(290,1),(291,1),(295,1),(307,1),(309,1),(311,1),(314,1)}
       302:{2,4,7}:{(290,1),(292,1),(308,1),(309,1)}
       303:{1,4,6}:{(291,1),(292,1),(293,1),(309,1),(310,1)}
       304:{2,4,5}:{(293,1),(294,1),(298,1),(310,1)}
       305:{2,4,6}:{(295,1),(296,1),(297,1),(311,1)}
       306:{1,3,5}:{(297,1),(298,1),(310,1),(311,1),(314,1)}
       307:{3,6}:{(299,1),(300,1)}
       308:{3,4,7}:{(300,1),(302,1),(312,1)}
       309:{2,4,6}:{(301,1),(302,1),(303,1),(312,1),(313,1)}
       310:{1,4,5}:{(303,1),(304,1),(306,1),(313,1)}
       311:{2,5}:{(305,1),(306,1)}
       312:{3,4,6}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,5}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,5}:{(312,1),(313,1)}

2433 :   0:{1,2,5,6,7}:{(2,1),(3,1),(43,1),(47,1),(84,1),(87,1),(96,1),(121,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(43,1),(53,1),(121,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(7,1),(9,1),(26,1),(30,1),(64,1),(74,1),(100,1),(109,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(27,1),(105,1),(116,1),(139,1),(143,1)}
         4:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(32,1),(62,1),(70,1),(105,1),(106,1),(112,1),(114,1),(116,1),(139,1),(143,1),(145,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(7,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(43,1),(79,1),(96,1),(98,1),(136,1)}
         7:{1,4,6,7}:{(2,1),(5,1),(13,1),(14,1),(95,1),(120,1),(129,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(43,1),(45,1),(86,1),(87,1),(97,1),(122,1),(127,1),(129,1),(130,1)}
         9:{1,3,6,7}:{(3,1),(16,1),(17,1),(124,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(91,1),(124,1),(135,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(14,1),(20,1),(21,1),(43,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(156,1)}
        13:{2,4,6,7}:{(6,1),(7,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,4,5,7}:{(7,1),(11,1),(23,1),(25,1),(26,1),(64,1)}
        15:{1,3,4,6,7}:{(7,1),(9,1),(12,1),(24,1),(26,1),(27,1),(28,1),(61,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(118,1),(141,1),(149,1)}
        17:{2,3,6,7}:{(9,1),(27,1),(29,1),(30,1),(104,1),(143,1)}
        18:{1,3,4,6}:{(10,1),(28,1),(31,1),(32,1),(145,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(29,1),(32,1),(33,1),(62,1),(69,1),(104,1),(112,1),(115,1),(143,1)}
        20:{2,4,5,6}:{(11,1),(25,1),(34,1),(62,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(34,1)}
        22:{2,3,4,6,7}:{(12,1),(27,1),(36,1),(37,1),(66,1),(73,1),(103,1),(104,1),(142,1),(165,1),(168,1)}
        23:{2,4,5,7}:{(13,1),(14,1),(38,1),(39,1),(43,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(138,1)}
        25:{1,4,5,6}:{(14,1),(20,1),(38,1),(41,1),(84,1),(95,1),(120,1),(160,1)}
        26:{1,3,5,7}:{(14,1),(15,1),(21,1),(39,1),(41,1),(43,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(43,1),(44,1),(45,1),(83,1)}
        28:{1,3,4,7}:{(16,1),(18,1),(45,1),(129,1),(138,1),(156,1)}
        29:{2,3,5,7}:{(16,1),(17,1),(19,1),(43,1),(45,1),(46,1),(127,1),(131,1)}
        30:{1,3,6,7}:{(17,1),(44,1),(46,1),(47,1),(124,1)}
        31:{1,3,4,5}:{(18,1),(48,1),(91,1),(134,1),(160,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(45,1),(48,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(46,1),(50,1),(51,1),(84,1),(91,1),(94,1),(124,1)}
        34:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        35:{3,4,5,7}:{(21,1),(52,1),(54,1),(156,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(43,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(44,1),(55,1),(56,1),(88,1),(89,1),(95,1),(124,1),(129,1),(136,1),(138,1),(159,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(25,1),(57,1),(62,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(27,1),(59,1),(60,1),(66,1),(77,1),(99,1),(104,1),(119,1),(152,1),(168,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1),(62,1),(169,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(35,1),(58,1),(61,1),(63,1),(75,1),(101,1),(107,1),(118,1),(141,1),(148,1),(169,1)}
        43:{2,5,7}:{(26,1),(27,1),(62,1),(64,1)}
        44:{1,4,6,7}:{(27,1),(30,1),(64,1),(67,1),(105,1)}
        45:{2,4,7}:{(28,1),(29,1),(32,1),(67,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(33,1),(64,1),(67,1),(68,1),(111,1)}
        47:{1,2,6,7}:{(30,1),(68,1),(143,1)}
        48:{2,4,5}:{(31,1),(32,1),(69,1),(70,1),(112,1),(151,1)}
        49:{2,3,4,6}:{(32,1),(66,1),(69,1),(71,1),(104,1),(115,1),(151,1),(152,1),(165,1),(168,1)}
        50:{1,4,6}:{(32,1),(33,1),(67,1),(70,1)}
        51:{1,2,5,6}:{(33,1),(68,1),(72,1),(112,1),(143,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,3,5,6}:{(34,1),(36,1),(62,1),(73,1),(74,1),(104,1)}
        54:{2,4,5,7}:{(35,1),(36,1),(73,1),(75,1),(142,1),(166,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(64,1),(74,1),(75,1),(76,1),(118,1),(169,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(110,1),(116,1),(119,1),(143,1),(168,1)}
        57:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        58:{3,4,5,7}:{(39,1),(78,1),(80,1),(138,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(43,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(44,1),(81,1),(82,1),(88,1),(89,1),(120,1),(124,1),(129,1),(154,1),(156,1),(159,1),(172,1)}
        61:{1,3,4,6}:{(41,1),(42,1),(52,1),(78,1),(83,1),(95,1),(120,1),(124,1),(136,1),(154,1)}
        62:{2,5,6}:{(41,1),(43,1),(83,1),(84,1),(173,1)}
        63:{2,4,5,7}:{(42,1),(43,1),(45,1),(48,1),(83,1),(85,1),(86,1),(127,1),(162,1),(173,1)}
        64:{1,5,7}:{(43,1),(44,1),(84,1)}
        65:{1,2,4,6,7}:{(44,1),(47,1),(56,1),(82,1),(87,1),(88,1),(90,1),(125,1),(129,1),(130,1),(157,1),(172,1)}
        66:{2,3,4,7}:{(45,1),(49,1),(85,1),(89,1),(131,1),(138,1),(156,1),(162,1)}
        67:{1,4,7}:{(45,1),(46,1),(50,1)}
        68:{1,2,5,7}:{(46,1),(47,1),(51,1),(90,1),(127,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,4,5}:{(48,1),(50,1),(91,1),(163,1)}
        71:{1,3,4,6}:{(49,1),(50,1),(89,1),(91,1),(93,1),(94,1),(124,1),(134,1),(135,1),(163,1),(172,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(90,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,3,5,6}:{(53,1),(55,1),(84,1),(95,1),(96,1),(124,1),(136,1)}
        75:{1,4,5,7}:{(54,1),(55,1),(95,1),(97,1),(129,1),(160,1)}
        76:{2,5,7}:{(55,1),(56,1),(96,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(88,1),(98,1),(131,1),(136,1),(158,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,3,5,6}:{(57,1),(59,1),(62,1),(99,1),(100,1),(104,1)}
        80:{2,4,5,7}:{(58,1),(59,1),(99,1),(101,1),(119,1),(153,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(64,1),(100,1),(101,1),(102,1),(141,1),(169,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(110,1),(139,1),(142,1),(143,1),(168,1)}
        83:{2,4,6}:{(61,1),(62,1),(63,1),(104,1),(105,1),(143,1)}
        84:{1,5,6}:{(62,1),(64,1),(105,1),(174,1)}
        85:{2,3,5,7}:{(63,1),(66,1),(69,1),(104,1),(107,1),(118,1),(141,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(70,1),(105,1),(107,1),(170,1),(174,1)}
        87:{1,2,5,7}:{(64,1),(65,1),(76,1),(102,1),(106,1),(109,1),(174,1)}
        88:{1,3,6,7}:{(65,1),(77,1),(103,1),(109,1),(111,1),(144,1),(149,1),(167,1)}
        89:{1,3,4,7}:{(66,1),(67,1),(71,1),(107,1),(110,1),(111,1),(149,1),(170,1)}
        90:{1,2,4,7}:{(67,1),(68,1),(72,1),(110,1),(111,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(112,1),(174,1)}
        92:{1,2,4,5}:{(70,1),(72,1),(112,1),(113,1),(151,1)}
        93:{2,4,6}:{(71,1),(110,1),(112,1),(115,1),(143,1),(151,1)}
        94:{1,3,6}:{(72,1),(111,1),(113,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,5,6}:{(74,1),(76,1),(116,1),(143,1)}
        97:{2,4,5,7}:{(75,1),(76,1),(116,1),(118,1),(119,1),(153,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(109,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,3,5,6}:{(79,1),(81,1),(84,1),(120,1),(121,1),(124,1),(154,1)}
       101:{1,4,5,7}:{(80,1),(81,1),(120,1),(122,1),(129,1),(160,1)}
       102:{2,5,7}:{(81,1),(82,1),(121,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(88,1),(123,1),(131,1),(154,1),(158,1)}
       104:{2,3,6}:{(83,1),(85,1),(124,1),(136,1),(154,1)}
       105:{1,4,6}:{(83,1),(84,1),(86,1),(124,1)}
       106:{1,2,5,6}:{(84,1),(87,1),(96,1),(121,1),(125,1),(126,1),(157,1),(173,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(91,1),(124,1),(127,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(90,1),(92,1),(97,1),(122,1),(125,1),(127,1),(128,1),(129,1),(160,1),(162,1),(173,1)}
       109:{1,3,5,7}:{(87,1),(88,1),(98,1),(123,1),(126,1),(129,1)}
       110:{2,4,7}:{(89,1),(93,1),(127,1),(131,1)}
       111:{1,3,7}:{(90,1),(94,1),(131,1)}
       112:{2,5}:{(91,1),(93,1)}
       113:{1,3,5}:{(92,1),(94,1),(133,1),(134,1)}
       114:{1,2,4,6}:{(93,1),(130,1),(132,1),(135,1),(157,1),(163,1),(172,1)}
       115:{2,3,6}:{(93,1),(94,1),(131,1),(133,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{2,3,5,6}:{(96,1),(98,1),(126,1),(136,1),(137,1),(158,1),(164,1),(173,1)}
       118:{3,5,7}:{(97,1),(136,1),(138,1),(164,1)}
       119:{2,4,7}:{(98,1),(129,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,5,6}:{(100,1),(102,1),(139,1),(143,1)}
       122:{2,4,5,7}:{(101,1),(102,1),(139,1),(141,1),(142,1),(166,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(109,1),(140,1),(141,1),(142,1)}
       124:{1,3,6}:{(104,1),(105,1),(107,1),(143,1)}
       125:{1,2,4,6}:{(105,1),(106,1),(108,1),(116,1),(139,1),(143,1),(144,1),(145,1),(168,1)}
       126:{1,3,5,6}:{(106,1),(109,1),(117,1),(140,1),(144,1),(145,1),(167,1),(169,1),(174,1)}
       127:{2,5,7}:{(107,1),(110,1),(112,1),(143,1)}
       128:{1,3,5,7}:{(108,1),(111,1),(113,1),(118,1),(141,1),(144,1),(147,1),(148,1),(169,1)}
       129:{1,4,7}:{(109,1),(119,1),(142,1),(145,1)}
       130:{1,2,4,7}:{(110,1),(114,1),(146,1),(149,1),(170,1)}
       131:{2,3,7}:{(110,1),(111,1),(115,1),(149,1)}
       132:{1,2,5}:{(112,1),(114,1),(150,1),(174,1)}
       133:{2,3,5}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,4}:{(113,1),(151,1)}
       135:{1,3,6}:{(114,1),(115,1),(149,1),(150,1)}
       136:{3,6}:{(116,1),(118,1)}
       137:{2,4,6}:{(117,1),(119,1),(145,1),(152,1),(153,1)}
       138:{3,4,7}:{(118,1),(119,1),(152,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{2,3,5,6}:{(121,1),(123,1),(126,1),(154,1),(155,1),(158,1),(171,1),(173,1)}
       141:{3,5,7}:{(122,1),(154,1),(156,1),(171,1)}
       142:{2,4,7}:{(123,1),(129,1),(155,1),(156,1)}
       143:{2,6}:{(124,1),(127,1)}
       144:{1,3,6}:{(125,1),(128,1),(136,1),(154,1),(158,1)}
       145:{1,4,6}:{(126,1),(129,1),(137,1),(155,1),(160,1)}
       146:{1,2,5,7}:{(127,1),(130,1),(132,1),(157,1),(161,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(131,1),(133,1),(158,1),(161,1),(162,1),(173,1)}
       148:{1,3,4,7}:{(128,1),(129,1),(134,1),(138,1),(156,1),(159,1),(162,1)}
       149:{1,3,7}:{(130,1),(131,1),(135,1)}
       150:{1,3,5}:{(132,1),(133,1),(135,1),(163,1)}
       151:{2,4}:{(133,1),(134,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(137,1),(160,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(141,1)}
       155:{2,4,6}:{(140,1),(142,1),(145,1),(165,1),(166,1)}
       156:{3,4,7}:{(141,1),(142,1),(165,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{2,3,6}:{(143,1),(144,1),(147,1),(167,1),(168,1)}
       159:{1,3,4,6}:{(144,1),(145,1),(148,1),(152,1),(165,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(153,1),(166,1),(169,1),(174,1)}
       161:{1,3,5,7}:{(146,1),(147,1),(149,1),(150,1),(167,1),(170,1),(174,1)}
       162:{2,4,7}:{(147,1),(148,1),(151,1),(168,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(155,1),(160,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(161,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(162,1),(172,1),(173,1)}
       169:{1,3,5}:{(159,1),(160,1),(164,1),(171,1),(173,1)}
       170:{1,4,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(170,1),(174,1)}
       173:{2,5}:{(168,1),(169,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2434 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2435 :   0:{1,2,3,6,7}:{(1,1),(2,1),(37,1),(40,1),(80,1),(89,1),(251,1),(368,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(23,1),(112,1),(293,1),(346,1),(347,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(24,1),(60,1),(115,1),(121,1),(122,1)}
         3:{2,3,4,6,7}:{(5,1),(8,1),(22,1),(27,1),(62,1),(68,1),(121,1),(177,1),(269,1),(341,1)}
         4:{1,2,3,5,6}:{(1,1),(10,1),(14,1),(32,1),(40,1),(78,1),(80,1),(141,1),(157,1),(249,1),(313,1),(314,1)}
         5:{1,3,4,6,7}:{(2,1),(3,1),(9,1),(11,1),(12,1),(35,1),(38,1),(40,1),(88,1),(156,1),(162,1),(251,1),(329,1)}
         6:{1,2,4,7}:{(1,1),(10,1),(12,1),(151,1),(329,1)}
         7:{1,2,5,7}:{(2,1),(11,1),(14,1),(157,1),(159,1)}
         8:{2,3,5,7}:{(3,1),(11,1),(15,1),(16,1),(93,1),(159,1),(222,1)}
         9:{2,3,4,6,7}:{(5,1),(17,1),(22,1),(47,1),(62,1),(102,1),(121,1),(127,1),(216,1),(300,1)}
        10:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1),(108,1),(184,1),(292,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(8,1),(17,1),(20,1),(21,1),(203,1),(205,1)}
        12:{1,3,4,7}:{(6,1),(18,1),(22,1),(23,1),(347,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1),(57,1)}
        14:{1,2,5,6}:{(7,1),(21,1),(24,1),(116,1),(122,1)}
        15:{2,4,5,7}:{(8,1),(20,1),(26,1),(27,1),(266,1),(341,1)}
        16:{2,3,5,6}:{(8,1),(21,1),(27,1),(62,1),(64,1),(116,1)}
        17:{2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(136,1),(159,1),(169,1)}
        18:{1,3,4,6}:{(10,1),(12,1),(31,1),(32,1),(40,1),(229,1),(314,1)}
        19:{1,2,4,5}:{(10,1),(32,1),(74,1),(157,1),(248,1)}
        20:{1,4,5,7}:{(11,1),(15,1),(29,1),(35,1),(248,1),(329,1)}
        21:{1,3,5,6}:{(11,1),(14,1),(16,1),(30,1),(35,1),(40,1),(88,1),(158,1)}
        22:{2,3,4,7}:{(12,1),(31,1),(38,1),(39,1),(151,1),(321,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(32,1),(39,1),(40,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(40,1),(85,1)}
        25:{1,2,5,6,7}:{(14,1),(36,1),(41,1),(159,1),(163,1),(247,1),(250,1),(258,1),(307,1)}
        26:{3,4,5,7}:{(15,1),(44,1),(93,1),(302,1),(363,1)}
        27:{2,4,6}:{(15,1),(16,1),(35,1),(44,1)}
        28:{2,3,5,6,7}:{(16,1),(36,1),(45,1),(89,1),(93,1),(159,1),(307,1),(309,1),(362,1)}
        29:{2,4,5,7}:{(17,1),(20,1),(46,1),(47,1),(213,1),(300,1)}
        30:{2,3,5,6}:{(17,1),(21,1),(47,1),(62,1),(98,1),(116,1)}
        31:{2,3,4,6}:{(18,1),(22,1),(51,1),(52,1),(62,1),(108,1),(186,1),(280,1)}
        32:{1,3,5}:{(18,1),(19,1),(52,1)}
        33:{1,2,4,5,6}:{(19,1),(24,1),(53,1),(54,1),(55,1),(108,1),(116,1),(194,1),(204,1),(209,1),(262,1),(274,1),(278,1),(292,1)}
        34:{1,3,4,5,7}:{(20,1),(23,1),(26,1),(46,1),(49,1),(57,1),(58,1),(109,1),(117,1)}
        35:{1,4,6}:{(20,1),(21,1),(27,1),(47,1)}
        36:{1,3,5,6,7}:{(21,1),(25,1),(28,1),(48,1),(59,1),(63,1),(117,1),(123,1),(205,1),(293,1)}
        37:{1,2,3,7}:{(50,1),(60,1),(288,1)}
        38:{1,3,4,7}:{(22,1),(51,1),(60,1),(61,1),(198,1),(288,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(52,1),(57,1),(61,1),(62,1)}
        40:{1,3,6}:{(23,1),(24,1),(62,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(54,1),(59,1),(63,1),(121,1),(284,1),(295,1),(336,1),(350,1)}
        42:{2,4,5,6}:{(27,1),(55,1),(64,1),(65,1),(116,1)}
        43:{2,3,4,5,7}:{(26,1),(57,1),(66,1),(67,1),(103,1),(129,1),(180,1),(189,1),(266,1),(335,1),(341,1),(348,1)}
        44:{3,4,6}:{(26,1),(27,1),(64,1)}
        45:{2,4,6,7}:{(27,1),(28,1),(59,1),(65,1),(68,1),(341,1)}
        46:{3,4,5,7}:{(29,1),(71,1),(136,1),(253,1),(332,1)}
        47:{2,4,6}:{(29,1),(30,1),(35,1),(71,1)}
        48:{2,3,5,6,7}:{(30,1),(36,1),(72,1),(89,1),(136,1),(159,1),(258,1),(260,1),(331,1)}
        49:{1,3,4,5}:{(32,1),(74,1),(75,1),(248,1),(253,1),(302,1)}
        50:{1,2,3,6}:{(37,1),(73,1),(76,1),(243,1)}
        51:{1,3,4,6}:{(31,1),(38,1),(76,1),(77,1),(88,1),(148,1),(150,1),(243,1)}
        52:{2,3,5}:{(31,1),(32,1),(74,1),(77,1)}
        53:{1,3,5,6}:{(32,1),(33,1),(40,1),(75,1),(78,1),(79,1),(254,1),(303,1),(314,1)}
        54:{1,2,4,5,7}:{(33,1),(41,1),(79,1),(82,1),(151,1),(159,1),(242,1),(250,1),(255,1),(304,1),(315,1),(320,1),(329,1)}
        55:{1,4,5,6}:{(35,1),(42,1),(69,1),(81,1),(82,1),(158,1)}
        56:{1,2,3,5,7}:{(37,1),(73,1),(80,1),(83,1),(87,1),(141,1),(157,1),(160,1),(227,1),(311,1)}
        57:{2,4,5,7}:{(34,1),(39,1),(74,1),(84,1),(85,1),(151,1),(159,1)}
        58:{1,3,4,6}:{(34,1),(35,1),(40,1),(44,1),(71,1),(81,1),(85,1)}
        59:{1,4,6,7}:{(35,1),(36,1),(45,1),(72,1),(82,1),(329,1)}
        60:{1,2,4,7}:{(37,1),(38,1),(76,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(77,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(85,1),(88,1)}
        63:{1,3,6,7}:{(40,1),(41,1),(79,1),(89,1),(331,1),(362,1)}
        64:{3,5,6}:{(42,1),(44,1),(93,1)}
        65:{2,4,5,7}:{(42,1),(45,1),(82,1),(93,1),(159,1)}
        66:{1,3,4,5,7}:{(43,1),(84,1),(95,1),(96,1),(142,1),(160,1),(171,1),(236,1),(248,1),(253,1),(329,1),(332,1),(366,1)}
        67:{2,3,4,6}:{(43,1),(44,1),(85,1),(92,1),(96,1),(225,1),(308,1),(361,1),(371,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(93,1),(362,1),(363,1)}
        69:{2,4,5,6}:{(47,1),(55,1),(98,1),(99,1),(116,1)}
        70:{2,3,4,5,7}:{(46,1),(57,1),(100,1),(101,1),(103,1),(130,1),(179,1),(189,1),(213,1),(294,1),(300,1),(348,1)}
        71:{3,4,6}:{(46,1),(47,1),(98,1)}
        72:{2,4,6,7}:{(47,1),(48,1),(59,1),(99,1),(102,1),(300,1)}
        73:{1,2,3,5}:{(50,1),(106,1),(110,1),(196,1)}
        74:{2,4,5}:{(49,1),(52,1),(107,1),(108,1)}
        75:{1,3,4,6}:{(49,1),(53,1),(108,1),(109,1),(292,1),(296,1),(337,1)}
        76:{1,2,4,6}:{(50,1),(51,1),(60,1),(106,1),(110,1),(122,1)}
        77:{1,3,5}:{(51,1),(52,1),(107,1),(110,1)}
        78:{2,3,5,6}:{(52,1),(53,1),(62,1),(108,1),(111,1),(112,1),(116,1),(278,1),(280,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(63,1),(109,1),(112,1),(297,1),(338,1),(347,1)}
        80:{1,2,3,6}:{(56,1),(115,1),(122,1),(206,1),(343,1)}
        81:{1,3,5,6}:{(55,1),(58,1),(64,1),(98,1),(116,1),(117,1)}
        82:{1,4,5,7}:{(55,1),(59,1),(65,1),(99,1),(117,1),(205,1)}
        83:{1,2,4,7}:{(56,1),(106,1),(115,1),(118,1),(184,1)}
        84:{1,4,5,7}:{(57,1),(61,1),(107,1),(120,1),(198,1),(205,1)}
        85:{2,4,6}:{(57,1),(58,1),(62,1),(116,1),(120,1)}
        86:{1,3,4,6,7}:{(58,1),(59,1),(63,1),(68,1),(102,1),(109,1),(117,1),(121,1)}
        87:{1,2,5,7}:{(60,1),(61,1),(110,1),(122,1)}
        88:{1,3,6}:{(61,1),(62,1),(120,1),(122,1)}
        89:{2,3,6,7}:{(62,1),(63,1),(112,1),(121,1),(123,1),(350,1)}
        90:{3,4,5,6}:{(64,1),(124,1),(125,1),(337,1),(378,1)}
        91:{2,4,5,6,7}:{(65,1),(114,1),(126,1),(202,1),(208,1),(336,1),(380,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(116,1),(124,1),(128,1),(129,1),(378,1),(384,1)}
        93:{3,5,7}:{(64,1),(65,1),(68,1)}
        94:{2,3,4,7}:{(118,1),(127,1),(130,1),(186,1),(300,1)}
        95:{2,4,5,7}:{(66,1),(130,1),(131,1),(187,1),(213,1),(215,1),(281,1),(300,1)}
        96:{1,3,4,6}:{(66,1),(67,1),(120,1),(128,1),(131,1),(206,1),(292,1),(296,1),(381,1)}
        97:{2,3,4,6,7}:{(67,1),(68,1),(121,1),(129,1),(132,1),(189,1),(208,1),(269,1),(276,1),(341,1),(379,1),(385,1)}
        98:{3,5,6}:{(69,1),(71,1),(136,1)}
        99:{2,4,5,7}:{(69,1),(72,1),(82,1),(136,1),(159,1)}
       100:{1,3,4,5,7}:{(70,1),(84,1),(138,1),(139,1),(142,1),(160,1),(224,1),(236,1),(248,1),(302,1),(329,1),(363,1),(366,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(85,1),(135,1),(139,1),(172,1),(259,1),(330,1),(371,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(136,1),(331,1),(332,1)}
       103:{2,3,4,5}:{(74,1),(142,1),(143,1),(234,1),(253,1),(302,1),(318,1)}
       104:{1,2,3,5,6}:{(73,1),(80,1),(144,1),(145,1),(152,1),(157,1),(240,1),(243,1),(246,1),(249,1),(319,1),(323,1)}
       105:{1,3,4,5,6}:{(75,1),(81,1),(90,1),(133,1),(146,1),(147,1),(165,1),(218,1),(232,1),(254,1),(303,1),(325,1),(374,1)}
       106:{1,2,4}:{(73,1),(148,1)}
       107:{1,4,5}:{(74,1),(77,1),(150,1)}
       108:{2,4,6}:{(74,1),(75,1),(78,1),(150,1),(151,1)}
       109:{1,3,4,7}:{(75,1),(79,1),(151,1),(329,1),(332,1),(363,1)}
       110:{1,2,5}:{(76,1),(77,1)}
       111:{1,3,5,6}:{(77,1),(78,1),(88,1),(150,1),(152,1),(153,1),(158,1),(243,1)}
       112:{2,3,5,7}:{(78,1),(79,1),(89,1),(151,1),(153,1),(159,1),(320,1),(321,1)}
       113:{1,2,3,6,7}:{(80,1),(144,1),(154,1),(163,1),(227,1),(251,1),(323,1),(372,1)}
       114:{1,4,5,6,7}:{(82,1),(91,1),(134,1),(155,1),(247,1),(252,1),(301,1),(376,1)}
       115:{1,2,4,6}:{(80,1),(83,1),(156,1),(157,1)}
       116:{2,5,6}:{(81,1),(85,1),(158,1),(159,1)}
       117:{1,3,5,7}:{(81,1),(82,1),(86,1),(93,1),(136,1),(159,1)}
       118:{1,3,4,7}:{(83,1),(94,1),(137,1),(148,1),(156,1),(160,1),(229,1),(329,1)}
       119:{1,2,4,5,7}:{(83,1),(84,1),(87,1),(95,1),(138,1),(149,1),(157,1),(160,1),(161,1),(230,1),(244,1),(248,1),(250,1),(311,1),(315,1),(329,1),(366,1)}
       120:{1,4,6}:{(84,1),(85,1),(88,1),(158,1)}
       121:{2,4,6,7}:{(85,1),(86,1),(89,1),(151,1),(159,1),(162,1)}
       122:{1,2,6}:{(87,1),(88,1)}
       123:{1,3,6,7}:{(88,1),(89,1),(153,1),(162,1),(163,1)}
       124:{2,4,5,6}:{(90,1),(92,1),(165,1),(166,1),(308,1)}
       125:{3,4,5,7}:{(90,1),(93,1),(164,1),(166,1),(363,1),(387,1)}
       126:{3,5,6,7}:{(91,1),(93,1),(164,1),(362,1),(387,1)}
       127:{2,3,4,6}:{(94,1),(156,1),(169,1),(172,1),(259,1)}
       128:{1,3,5,6}:{(92,1),(96,1),(158,1),(165,1),(170,1),(171,1),(254,1),(388,1)}
       129:{2,3,5,7}:{(92,1),(93,1),(97,1),(159,1),(166,1),(171,1),(387,1),(390,1)}
       130:{2,3,5,7}:{(94,1),(95,1),(160,1),(169,1),(172,1),(234,1),(321,1)}
       131:{2,4,6}:{(95,1),(96,1),(170,1),(172,1)}
       132:{1,3,4,6,7}:{(96,1),(97,1),(162,1),(171,1),(173,1),(236,1),(251,1),(252,1),(317,1),(329,1),(331,1),(332,1),(389,1)}
       133:{3,4,5,6}:{(98,1),(174,1),(175,1),(296,1),(358,1)}
       134:{2,4,5,6,7}:{(99,1),(114,1),(176,1),(202,1),(261,1),(295,1),(360,1)}
       135:{2,3,5,6}:{(98,1),(101,1),(116,1),(174,1),(178,1),(179,1),(358,1),(384,1)}
       136:{3,5,7}:{(98,1),(99,1),(102,1)}
       137:{2,3,4,7}:{(118,1),(177,1),(180,1),(186,1),(341,1)}
       138:{2,4,5,7}:{(100,1),(180,1),(181,1),(187,1),(266,1),(268,1),(281,1),(341,1)}
       139:{1,3,4,6}:{(100,1),(101,1),(120,1),(178,1),(181,1),(206,1),(292,1),(337,1),(381,1)}
       140:{2,3,4,6,7}:{(101,1),(102,1),(121,1),(179,1),(182,1),(189,1),(216,1),(261,1),(276,1),(300,1),(359,1),(385,1)}
       141:{1,2,3,5}:{(183,1),(184,1),(272,1),(273,1)}
       142:{1,3,4,5}:{(103,1),(107,1),(187,1),(188,1),(196,1),(273,1),(344,1)}
       143:{2,3,4,6}:{(103,1),(108,1),(185,1),(188,1),(189,1),(280,1),(296,1),(337,1),(351,1)}
       144:{1,2,3,5,7}:{(104,1),(113,1),(190,1),(199,1),(201,1),(282,1),(288,1),(293,1),(352,1)}
       145:{1,2,4,6}:{(104,1),(106,1),(190,1),(192,1),(193,1),(292,1),(351,1)}
       146:{2,4,5,6}:{(105,1),(108,1),(116,1),(185,1),(194,1),(195,1),(278,1),(351,1),(384,1)}
       147:{1,3,4,5,7}:{(105,1),(109,1),(117,1),(125,1),(175,1),(191,1),(195,1),(210,1),(263,1),(279,1),(297,1),(338,1),(355,1),(386,1)}
       148:{1,3,4}:{(106,1),(186,1),(196,1)}
       149:{1,2,4,5}:{(106,1),(107,1),(110,1),(187,1),(196,1),(197,1)}
       150:{1,4,6}:{(107,1),(108,1),(111,1),(198,1)}
       151:{2,4,7}:{(108,1),(109,1),(112,1),(198,1)}
       152:{1,2,5,6}:{(110,1),(111,1),(122,1),(197,1),(199,1),(278,1)}
       153:{1,3,5,7}:{(111,1),(112,1),(123,1),(198,1),(199,1),(205,1),(288,1)}
       154:{1,2,4,6,7}:{(113,1),(115,1),(190,1),(200,1),(201,1),(270,1),(283,1),(343,1),(385,1)}
       155:{1,3,5,6,7}:{(114,1),(117,1),(126,1),(176,1),(191,1),(202,1),(386,1)}
       156:{1,3,4,6}:{(115,1),(118,1),(127,1),(177,1),(203,1),(206,1),(292,1)}
       157:{1,2,5}:{(115,1),(203,1)}
       158:{1,5,6}:{(116,1),(120,1),(205,1)}
       159:{2,5,7}:{(116,1),(117,1),(121,1),(205,1)}
       160:{1,3,5,7}:{(118,1),(119,1),(130,1),(180,1),(196,1),(203,1),(206,1),(273,1),(288,1),(347,1)}
       161:{1,2,4,6}:{(119,1),(120,1),(122,1),(131,1),(181,1),(204,1),(206,1),(292,1),(343,1),(381,1)}
       162:{1,4,6,7}:{(120,1),(121,1),(123,1),(198,1),(205,1)}
       163:{1,2,6,7}:{(122,1),(123,1),(199,1),(350,1)}
       164:{3,4,6,7}:{(125,1),(126,1),(208,1)}
       165:{1,4,5,6}:{(124,1),(128,1),(209,1),(210,1),(292,1)}
       166:{2,4,5,7}:{(124,1),(125,1),(129,1),(208,1),(210,1),(341,1)}
       167:{2,3,4,6,7}:{(127,1),(200,1),(211,1),(216,1),(275,1),(298,1),(300,1),(349,1),(359,1),(385,1)}
       168:{2,3,5,6,7}:{(126,1),(129,1),(202,1),(208,1),(212,1),(276,1)}
       169:{2,3,5}:{(127,1),(203,1),(213,1)}
       170:{2,5,6}:{(128,1),(131,1),(215,1)}
       171:{1,3,5,7}:{(128,1),(129,1),(132,1),(205,1),(210,1),(215,1),(297,1),(391,1)}
       172:{2,3,6}:{(130,1),(131,1),(206,1)}
       173:{2,4,6,7}:{(131,1),(132,1),(215,1),(216,1),(281,1),(300,1),(350,1)}
       174:{2,4,5,6}:{(133,1),(135,1),(218,1),(219,1),(259,1)}
       175:{3,4,5,7}:{(133,1),(136,1),(217,1),(219,1),(332,1),(377,1)}
       176:{3,5,6,7}:{(134,1),(136,1),(217,1),(331,1),(377,1)}
       177:{2,3,4,6}:{(137,1),(156,1),(222,1),(225,1),(308,1)}
       178:{1,3,5,6}:{(135,1),(139,1),(158,1),(218,1),(223,1),(224,1),(303,1),(388,1)}
       179:{2,3,5,7}:{(135,1),(136,1),(140,1),(159,1),(219,1),(224,1),(377,1),(390,1)}
       180:{2,3,5,7}:{(137,1),(138,1),(160,1),(222,1),(225,1),(234,1),(321,1)}
       181:{2,4,6}:{(138,1),(139,1),(223,1),(225,1)}
       182:{1,3,4,6,7}:{(139,1),(140,1),(162,1),(224,1),(226,1),(236,1),(251,1),(301,1),(317,1),(329,1),(362,1),(363,1),(389,1)}
       183:{1,2,3,6}:{(141,1),(227,1),(228,1),(314,1)}
       184:{1,2,4}:{(141,1),(229,1)}
       185:{2,3,5,6}:{(143,1),(146,1),(232,1),(233,1),(254,1),(303,1)}
       186:{2,3,4}:{(148,1),(229,1),(234,1)}
       187:{2,4,5}:{(142,1),(234,1),(235,1)}
       188:{1,3,4,6}:{(142,1),(143,1),(150,1),(232,1),(235,1),(236,1),(243,1),(314,1),(369,1)}
       189:{2,3,4,7}:{(143,1),(151,1),(233,1),(236,1),(321,1),(332,1),(363,1),(373,1)}
       190:{1,2,4,7}:{(144,1),(145,1),(237,1),(329,1),(373,1)}
       191:{1,3,4,6,7}:{(147,1),(155,1),(164,1),(217,1),(239,1),(252,1),(301,1),(317,1),(331,1),(362,1)}
       192:{1,3,4,6}:{(145,1),(148,1),(231,1),(237,1),(240,1),(243,1),(323,1)}
       193:{1,2,4,5}:{(145,1),(157,1),(240,1),(248,1),(318,1)}
       194:{1,4,5,6}:{(146,1),(150,1),(158,1),(232,1),(242,1),(369,1),(388,1)}
       195:{2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(233,1),(239,1),(242,1),(320,1),(373,1),(390,1)}
       196:{1,3,5}:{(148,1),(149,1),(234,1),(243,1)}
       197:{1,2,4,6}:{(149,1),(150,1),(152,1),(235,1),(243,1),(244,1)}
       198:{1,4,7}:{(150,1),(151,1),(153,1)}
       199:{1,2,5,7}:{(152,1),(153,1),(163,1),(244,1),(320,1)}
       200:{1,3,4,6,7}:{(154,1),(156,1),(167,1),(220,1),(237,1),(245,1),(251,1),(310,1),(323,1),(327,1),(329,1),(367,1),(389,1)}
       201:{1,2,5,7}:{(154,1),(157,1),(245,1),(246,1),(390,1)}
       202:{2,5,6,7}:{(155,1),(159,1),(239,1),(247,1),(390,1)}
       203:{1,3,5}:{(156,1),(157,1),(169,1),(222,1),(248,1)}
       204:{1,2,5,6}:{(157,1),(158,1),(161,1),(170,1),(223,1),(249,1),(250,1),(388,1)}
       205:{1,5,7}:{(158,1),(159,1),(162,1)}
       206:{1,3,6}:{(160,1),(161,1),(172,1),(225,1)}
       207:{1,2,4,6,7}:{(161,1),(162,1),(163,1),(173,1),(226,1),(244,1),(250,1),(251,1),(315,1),(329,1),(368,1),(389,1)}
       208:{2,4,6,7}:{(164,1),(166,1),(168,1),(252,1)}
       209:{2,4,5,6}:{(165,1),(170,1),(254,1),(255,1),(259,1)}
       210:{1,4,5,7}:{(165,1),(166,1),(171,1),(252,1),(255,1),(329,1)}
       211:{2,3,5,7}:{(167,1),(169,1),(245,1),(256,1),(257,1),(377,1),(390,1)}
       212:{1,3,5,6,7}:{(168,1),(171,1),(247,1),(252,1),(258,1),(317,1),(331,1)}
       213:{2,4,5}:{(169,1),(248,1),(253,1),(259,1)}
       214:{2,3,5,6}:{(169,1),(170,1),(172,1),(249,1),(254,1),(259,1),(260,1)}
       215:{2,5,7}:{(170,1),(171,1),(173,1)}
       216:{2,3,6,7}:{(172,1),(173,1),(251,1),(260,1),(321,1),(331,1)}
       217:{3,4,6,7}:{(175,1),(176,1),(261,1)}
       218:{1,4,5,6}:{(174,1),(178,1),(262,1),(263,1),(292,1)}
       219:{2,4,5,7}:{(174,1),(175,1),(179,1),(261,1),(263,1),(300,1)}
       220:{2,3,4,6,7}:{(177,1),(200,1),(264,1),(269,1),(275,1),(339,1),(341,1),(349,1),(379,1),(385,1)}
       221:{2,3,5,6,7}:{(176,1),(179,1),(202,1),(261,1),(265,1),(276,1)}
       222:{2,3,5}:{(177,1),(203,1),(266,1)}
       223:{2,5,6}:{(178,1),(181,1),(268,1)}
       224:{1,3,5,7}:{(178,1),(179,1),(182,1),(205,1),(263,1),(268,1),(338,1),(391,1)}
       225:{2,3,6}:{(180,1),(181,1),(206,1)}
       226:{2,4,6,7}:{(181,1),(182,1),(268,1),(269,1),(281,1),(341,1),(350,1)}
       227:{1,2,3,7}:{(183,1),(270,1),(347,1)}
       228:{1,2,4,6}:{(183,1),(184,1),(270,1),(271,1),(272,1),(343,1)}
       229:{1,3,4}:{(184,1),(186,1),(273,1)}
       230:{1,2,4,5}:{(184,1),(187,1),(272,1),(273,1),(274,1),(344,1)}
       231:{2,3,4,6}:{(186,1),(192,1),(271,1),(275,1),(277,1),(280,1),(349,1),(351,1)}
       232:{1,3,5,6}:{(185,1),(188,1),(194,1),(278,1),(279,1)}
       233:{2,3,5,7}:{(185,1),(189,1),(195,1),(276,1),(279,1),(297,1),(338,1)}
       234:{2,3,5}:{(186,1),(187,1),(196,1),(273,1),(280,1)}
       235:{2,4,6}:{(187,1),(188,1),(278,1),(280,1),(281,1)}
       236:{1,3,4,7}:{(188,1),(189,1),(198,1),(279,1),(281,1),(288,1),(347,1),(383,1)}
       237:{1,3,4,7}:{(190,1),(192,1),(275,1),(282,1),(288,1)}
       238:{1,2,4,5,7}:{(190,1),(193,1),(201,1),(282,1),(283,1),(289,1),(348,1)}
       239:{2,4,6,7}:{(191,1),(195,1),(202,1),(276,1),(284,1),(350,1)}
       240:{1,3,5}:{(192,1),(193,1),(277,1)}
       241:{1,2,4,5,6}:{(193,1),(194,1),(197,1),(204,1),(209,1),(262,1),(278,1),(283,1),(286,1),(287,1),(292,1),(351,1),(356,1),(384,1)}
       242:{1,4,5,7}:{(194,1),(195,1),(198,1),(205,1),(279,1),(284,1),(383,1),(391,1)}
       243:{1,3,6}:{(196,1),(197,1),(280,1),(288,1)}
       244:{1,2,4,7}:{(197,1),(198,1),(199,1),(281,1),(288,1)}
       245:{1,3,5,7}:{(200,1),(201,1),(203,1),(211,1),(264,1),(289,1),(290,1),(391,1)}
       246:{1,2,5,6}:{(201,1),(283,1),(290,1),(343,1),(384,1)}
       247:{1,5,6,7}:{(202,1),(205,1),(284,1),(391,1)}
       248:{1,4,5}:{(203,1),(213,1),(266,1),(292,1)}
       249:{1,3,5,6}:{(203,1),(204,1),(206,1),(214,1),(267,1),(292,1),(293,1)}
       250:{1,2,5,7}:{(204,1),(205,1),(207,1),(215,1),(268,1),(293,1),(391,1)}
       251:{1,3,6,7}:{(206,1),(207,1),(216,1),(269,1),(288,1),(293,1),(347,1)}
       252:{1,4,6,7}:{(208,1),(210,1),(212,1),(295,1)}
       253:{3,4,5}:{(213,1),(296,1)}
       254:{3,5,6}:{(209,1),(296,1),(297,1)}
       255:{2,4,5,7}:{(209,1),(210,1),(215,1),(295,1),(297,1),(300,1)}
       256:{2,4,5,7}:{(211,1),(213,1),(289,1),(294,1),(298,1),(300,1)}
       257:{2,3,5,6}:{(211,1),(290,1),(298,1),(349,1),(358,1),(384,1)}
       258:{2,5,6,7}:{(212,1),(215,1),(295,1),(350,1)}
       259:{2,4,6}:{(213,1),(214,1),(292,1),(296,1),(300,1)}
       260:{2,3,5,7}:{(214,1),(215,1),(216,1),(293,1),(297,1),(300,1)}
       261:{2,4,6,7}:{(217,1),(219,1),(221,1),(301,1)}
       262:{2,4,5,6}:{(218,1),(223,1),(303,1),(304,1),(308,1)}
       263:{1,4,5,7}:{(218,1),(219,1),(224,1),(301,1),(304,1),(329,1)}
       264:{2,3,5,7}:{(220,1),(222,1),(245,1),(305,1),(306,1),(387,1),(390,1)}
       265:{1,3,5,6,7}:{(221,1),(224,1),(247,1),(301,1),(307,1),(317,1),(362,1)}
       266:{2,4,5}:{(222,1),(248,1),(302,1),(308,1)}
       267:{2,3,5,6}:{(222,1),(223,1),(225,1),(249,1),(303,1),(308,1),(309,1)}
       268:{2,5,7}:{(223,1),(224,1),(226,1)}
       269:{2,3,6,7}:{(225,1),(226,1),(251,1),(309,1),(321,1),(362,1)}
       270:{1,2,4,7}:{(227,1),(228,1),(310,1),(311,1)}
       271:{1,3,4,6}:{(228,1),(229,1),(231,1),(310,1),(312,1),(314,1),(367,1),(369,1)}
       272:{1,2,5}:{(228,1),(312,1)}
       273:{1,3,5}:{(229,1),(230,1),(234,1),(314,1)}
       274:{1,2,4,6}:{(230,1),(235,1),(313,1),(314,1),(315,1),(369,1)}
       275:{2,3,4,7}:{(231,1),(237,1),(310,1),(316,1),(321,1),(373,1)}
       276:{2,3,6,7}:{(233,1),(239,1),(317,1),(331,1),(362,1)}
       277:{2,3,5}:{(231,1),(240,1),(312,1),(318,1)}
       278:{2,5,6}:{(232,1),(235,1),(320,1)}
       279:{1,3,5,7}:{(232,1),(233,1),(236,1),(242,1),(317,1),(320,1)}
       280:{2,3,6}:{(234,1),(235,1),(243,1),(314,1),(321,1)}
       281:{2,4,7}:{(235,1),(236,1),(320,1),(321,1)}
       282:{1,3,5,7}:{(237,1),(238,1),(240,1),(316,1),(323,1)}
       283:{1,2,4,6}:{(238,1),(246,1),(323,1),(327,1),(371,1)}
       284:{1,4,6,7}:{(239,1),(242,1),(247,1),(317,1)}
       285:{1,3,4,5}:{(240,1),(248,1),(253,1),(302,1),(318,1),(325,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(243,1),(254,1),(303,1),(319,1),(323,1),(325,1),(326,1)}
       287:{1,2,4,5,7}:{(241,1),(242,1),(244,1),(250,1),(255,1),(304,1),(320,1),(324,1),(326,1),(329,1),(373,1),(376,1),(390,1)}
       288:{1,3,7}:{(243,1),(244,1),(321,1)}
       289:{1,4,5,7}:{(245,1),(248,1),(256,1),(305,1),(327,1),(329,1)}
       290:{1,3,5,6}:{(245,1),(246,1),(257,1),(306,1),(323,1),(327,1),(367,1),(388,1)}
       291:{1,2,5,6,7}:{(246,1),(247,1),(250,1),(258,1),(307,1),(324,1),(328,1),(368,1),(390,1)}
       292:{1,4,6}:{(248,1),(249,1),(259,1),(308,1),(329,1)}
       293:{1,3,5,7}:{(249,1),(250,1),(251,1),(260,1),(309,1),(329,1)}
       294:{3,4,5,7}:{(253,1),(256,1),(330,1),(332,1),(377,1)}
       295:{2,4,6,7}:{(252,1),(255,1),(258,1),(331,1)}
       296:{3,4,6}:{(253,1),(254,1),(259,1),(332,1)}
       297:{3,5,7}:{(254,1),(255,1),(331,1),(332,1)}
       298:{2,4,6}:{(256,1),(257,1),(327,1),(330,1)}
       299:{2,3,5,6,7}:{(257,1),(258,1),(260,1),(328,1),(331,1),(334,1),(372,1),(377,1),(390,1)}
       300:{2,4,7}:{(259,1),(260,1),(329,1),(332,1)}
       301:{1,4,6,7}:{(261,1),(263,1),(265,1),(336,1)}
       302:{3,4,5}:{(266,1),(337,1)}
       303:{3,5,6}:{(262,1),(337,1),(338,1)}
       304:{2,4,5,7}:{(262,1),(263,1),(268,1),(336,1),(338,1),(341,1)}
       305:{2,4,5,7}:{(264,1),(266,1),(289,1),(335,1),(339,1),(341,1)}
       306:{2,3,5,6}:{(264,1),(290,1),(339,1),(349,1),(378,1),(384,1)}
       307:{2,5,6,7}:{(265,1),(268,1),(336,1),(350,1)}
       308:{2,4,6}:{(266,1),(267,1),(292,1),(337,1),(341,1)}
       309:{2,3,5,7}:{(267,1),(268,1),(269,1),(293,1),(338,1),(341,1)}
       310:{1,3,4,7}:{(270,1),(271,1),(275,1),(342,1),(347,1),(383,1)}
       311:{1,2,5,7}:{(270,1),(272,1),(342,1),(343,1)}
       312:{1,3,5}:{(271,1),(272,1),(277,1),(344,1)}
       313:{1,2,5,6}:{(272,1),(274,1),(278,1),(343,1),(345,1),(346,1)}
       314:{1,3,6}:{(273,1),(274,1),(280,1),(347,1)}
       315:{1,2,4,7}:{(274,1),(281,1),(346,1),(347,1),(383,1)}
       316:{2,3,5,7}:{(275,1),(277,1),(282,1),(342,1),(348,1),(349,1)}
       317:{1,3,6,7}:{(276,1),(279,1),(284,1),(350,1)}
       318:{2,4,5}:{(277,1),(285,1),(344,1),(351,1)}
       319:{2,3,5,6}:{(277,1),(278,1),(280,1),(286,1),(345,1),(349,1),(351,1),(352,1),(384,1)}
       320:{2,5,7}:{(278,1),(279,1),(281,1),(350,1)}
       321:{2,3,7}:{(280,1),(281,1),(288,1),(347,1)}
       322:{1,3,4,5,7}:{(282,1),(285,1),(289,1),(294,1),(335,1),(348,1),(353,1),(355,1),(386,1)}
       323:{1,3,6}:{(282,1),(283,1),(349,1)}
       324:{1,2,4,6,7}:{(283,1),(284,1),(287,1),(291,1),(295,1),(336,1),(350,1),(354,1),(357,1),(385,1)}
       325:{1,3,4,6}:{(285,1),(286,1),(292,1),(296,1),(337,1),(351,1),(355,1)}
       326:{1,3,5,7}:{(286,1),(287,1),(288,1),(297,1),(338,1),(352,1),(354,1),(355,1)}
       327:{1,4,6}:{(289,1),(290,1),(298,1),(339,1)}
       328:{1,3,5,6,7}:{(290,1),(291,1),(293,1),(299,1),(340,1),(354,1),(357,1),(382,1),(386,1),(391,1)}
       329:{1,4,7}:{(292,1),(293,1),(300,1),(341,1)}
       330:{3,4,6}:{(294,1),(298,1),(358,1)}
       331:{3,6,7}:{(295,1),(297,1)}
       332:{3,4,7}:{(296,1),(297,1),(300,1)}
       333:{2,4,5,6}:{(298,1),(356,1),(358,1),(360,1),(384,1)}
       334:{2,4,6,7}:{(298,1),(299,1),(300,1),(357,1),(359,1),(360,1)}
       335:{3,4,5,7}:{(302,1),(305,1),(361,1),(363,1),(387,1)}
       336:{2,4,6,7}:{(301,1),(304,1),(307,1),(362,1)}
       337:{3,4,6}:{(302,1),(303,1),(308,1),(363,1)}
       338:{3,5,7}:{(303,1),(304,1),(362,1),(363,1)}
       339:{2,4,6}:{(305,1),(306,1),(327,1),(361,1)}
       340:{2,3,5,6,7}:{(306,1),(307,1),(309,1),(328,1),(362,1),(365,1),(372,1),(387,1),(390,1)}
       341:{2,4,7}:{(308,1),(309,1),(329,1),(363,1)}
       342:{1,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(366,1),(367,1)}
       343:{1,2,6}:{(311,1),(367,1)}
       344:{1,4,5}:{(312,1),(318,1),(369,1)}
       345:{1,3,5,6}:{(312,1),(313,1),(314,1),(319,1),(367,1),(369,1),(370,1),(388,1)}
       346:{1,2,5,7}:{(313,1),(315,1),(320,1),(368,1),(370,1)}
       347:{1,3,7}:{(314,1),(315,1),(321,1)}
       348:{2,4,5,7}:{(316,1),(318,1),(322,1),(366,1),(371,1),(373,1),(390,1)}
       349:{2,3,6}:{(316,1),(323,1),(367,1),(371,1)}
       350:{2,6,7}:{(317,1),(320,1)}
       351:{2,4,6}:{(318,1),(319,1),(325,1),(369,1),(373,1)}
       352:{2,3,5,7}:{(319,1),(320,1),(321,1),(326,1),(370,1),(372,1),(373,1),(390,1)}
       353:{1,3,4,6}:{(322,1),(323,1),(327,1),(330,1),(361,1),(371,1),(374,1)}
       354:{1,3,6,7}:{(323,1),(324,1),(326,1),(331,1),(362,1),(372,1)}
       355:{1,3,4,7}:{(325,1),(326,1),(329,1),(332,1),(363,1),(373,1)}
       356:{1,4,5,6}:{(327,1),(333,1),(364,1),(374,1),(376,1),(388,1)}
       357:{1,4,6,7}:{(327,1),(328,1),(329,1),(334,1),(365,1),(376,1)}
       358:{3,5,6}:{(330,1),(333,1),(377,1)}
       359:{3,4,6,7}:{(330,1),(331,1),(332,1),(334,1),(377,1)}
       360:{2,4,5,7}:{(333,1),(334,1),(376,1),(377,1),(390,1)}
       361:{3,4,6}:{(335,1),(339,1),(378,1)}
       362:{3,6,7}:{(336,1),(338,1)}
       363:{3,4,7}:{(337,1),(338,1),(341,1)}
       364:{2,4,5,6}:{(339,1),(356,1),(378,1),(380,1),(384,1)}
       365:{2,4,6,7}:{(339,1),(340,1),(341,1),(357,1),(379,1),(380,1)}
       366:{1,4,5,7}:{(342,1),(344,1),(348,1),(381,1),(383,1),(391,1)}
       367:{1,3,6}:{(342,1),(343,1),(349,1),(381,1)}
       368:{1,2,6,7}:{(343,1),(346,1),(350,1),(382,1)}
       369:{1,4,6}:{(344,1),(345,1),(351,1),(383,1)}
       370:{1,3,5,7}:{(345,1),(346,1),(347,1),(352,1),(382,1),(383,1),(391,1)}
       371:{2,4,6}:{(348,1),(349,1),(353,1),(381,1),(384,1)}
       372:{2,3,6,7}:{(349,1),(350,1),(352,1),(354,1),(382,1),(385,1)}
       373:{2,4,7}:{(351,1),(352,1),(355,1),(383,1)}
       374:{1,3,5,6}:{(353,1),(356,1),(358,1),(378,1),(384,1),(386,1)}
       375:{1,3,4,6,7}:{(353,1),(354,1),(355,1),(357,1),(359,1),(379,1),(385,1),(386,1)}
       376:{1,4,5,7}:{(356,1),(357,1),(360,1),(380,1),(386,1),(391,1)}
       377:{3,5,7}:{(358,1),(359,1),(360,1)}
       378:{3,5,6}:{(361,1),(364,1),(387,1)}
       379:{3,4,6,7}:{(361,1),(362,1),(363,1),(365,1),(387,1)}
       380:{2,4,5,7}:{(364,1),(365,1),(376,1),(387,1),(390,1)}
       381:{1,4,6}:{(366,1),(367,1),(371,1),(388,1)}
       382:{1,3,6,7}:{(367,1),(368,1),(370,1),(372,1),(389,1)}
       383:{1,4,7}:{(369,1),(370,1),(373,1)}
       384:{2,5,6}:{(371,1),(374,1),(388,1),(390,1)}
       385:{2,4,6,7}:{(371,1),(372,1),(373,1),(375,1),(389,1),(390,1)}
       386:{1,3,5,7}:{(374,1),(375,1),(376,1),(377,1),(387,1),(390,1)}
       387:{3,5,7}:{(378,1),(379,1),(380,1)}
       388:{1,5,6}:{(381,1),(384,1),(391,1)}
       389:{1,4,6,7}:{(381,1),(382,1),(383,1),(385,1),(391,1)}
       390:{2,5,7}:{(384,1),(385,1),(386,1),(391,1)}
       391:{1,5,7}:{(388,1),(389,1),(390,1)}

2436 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(140,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(136,1),(172,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(75,1),(120,1)}
         3:{1,3,4,5}:{(0,1),(8,1),(10,1),(33,1),(89,1),(125,1)}
         4:{2,4,5,6}:{(1,1),(7,1),(11,1),(12,1),(120,1),(171,1)}
         5:{3,4,5,7}:{(1,1),(12,1),(13,1),(152,1),(169,1)}
         6:{2,3,4,5}:{(14,1),(15,1),(22,1),(108,1)}
         7:{2,3,5,6}:{(2,1),(4,1),(18,1),(19,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(21,1),(55,1),(65,1),(102,1)}
         9:{2,3,4,7}:{(2,1),(19,1),(21,1),(101,1),(141,1)}
        10:{2,4,5}:{(3,1),(20,1),(22,1)}
        11:{1,4,5,6}:{(4,1),(18,1),(23,1),(24,1),(102,1),(167,1)}
        12:{2,4,5,7}:{(4,1),(5,1),(19,1),(24,1),(25,1),(141,1),(166,1)}
        13:{3,4,6,7}:{(5,1),(25,1),(26,1)}
        14:{2,3,4,6}:{(6,1),(28,1),(29,1),(30,1),(39,1),(84,1)}
        15:{1,3,4,5}:{(6,1),(29,1),(31,1),(33,1),(125,1),(151,1)}
        16:{1,2,4,5}:{(10,1),(31,1),(32,1),(33,1),(35,1),(82,1),(125,1)}
        17:{1,2,3,5}:{(33,1),(34,1),(35,1),(82,1)}
        18:{1,3,5,6}:{(7,1),(8,1),(11,1),(36,1),(37,1),(42,1)}
        19:{2,3,5,7}:{(7,1),(9,1),(12,1),(37,1),(38,1)}
        20:{2,4,6}:{(8,1),(10,1),(36,1),(39,1),(40,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(37,1),(40,1),(81,1),(90,1),(126,1)}
        22:{2,3,5}:{(10,1),(33,1),(39,1),(41,1)}
        23:{2,4,5,6}:{(11,1),(36,1),(42,1),(43,1),(84,1),(160,1),(161,1)}
        24:{1,4,5,7}:{(11,1),(12,1),(37,1),(43,1),(44,1),(126,1),(159,1)}
        25:{2,4,6,7}:{(12,1),(13,1),(38,1),(44,1),(45,1)}
        26:{3,5,6,7}:{(13,1),(45,1),(46,1),(169,1)}
        27:{3,4,5,6}:{(47,1),(48,1),(65,1),(149,1)}
        28:{2,3,5,6}:{(14,1),(47,1),(49,1),(50,1)}
        29:{1,3,4,6}:{(14,1),(15,1),(49,1),(51,1),(52,1),(55,1),(102,1),(136,1)}
        30:{2,3,4,7}:{(14,1),(50,1),(52,1),(64,1),(109,1)}
        31:{2,4,5}:{(15,1),(51,1),(53,1)}
        32:{1,2,4,6}:{(16,1),(20,1),(51,1),(54,1),(55,1),(56,1),(102,1)}
        33:{1,3,5}:{(16,1),(22,1),(53,1),(55,1),(57,1)}
        34:{1,2,3,6}:{(17,1),(55,1),(58,1),(59,1)}
        35:{1,2,4}:{(17,1),(57,1)}
        36:{2,5,6}:{(18,1),(20,1),(61,1)}
        37:{1,3,5,7}:{(18,1),(19,1),(21,1),(24,1),(61,1),(62,1),(66,1)}
        38:{2,3,6,7}:{(19,1),(25,1),(62,1)}
        39:{2,3,6}:{(20,1),(22,1),(55,1),(64,1)}
        40:{2,4,7}:{(20,1),(21,1),(61,1),(64,1)}
        41:{2,3,4}:{(22,1),(57,1)}
        42:{3,5,6}:{(23,1),(65,1),(66,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(61,1),(66,1),(67,1),(109,1),(148,1),(150,1)}
        44:{1,4,6,7}:{(24,1),(25,1),(62,1),(67,1),(68,1)}
        45:{2,5,6,7}:{(25,1),(26,1),(68,1),(166,1)}
        46:{4,5,6,7}:{(26,1),(173,1)}
        47:{2,4,5,6}:{(27,1),(28,1),(69,1),(70,1),(84,1),(160,1)}
        48:{3,4,5,7}:{(27,1),(70,1),(71,1),(90,1),(134,1)}
        49:{1,3,5,6}:{(28,1),(29,1),(69,1),(72,1),(73,1),(115,1)}
        50:{2,3,5,7}:{(28,1),(30,1),(70,1),(73,1),(74,1)}
        51:{2,4,6}:{(29,1),(31,1),(72,1),(75,1),(76,1)}
        52:{1,3,4,7}:{(29,1),(30,1),(73,1),(76,1),(81,1),(126,1),(152,1)}
        53:{2,3,5}:{(31,1),(33,1),(75,1),(77,1)}
        54:{1,2,5,6}:{(32,1),(36,1),(72,1),(78,1),(79,1),(82,1),(129,1)}
        55:{1,3,6}:{(32,1),(33,1),(39,1),(75,1),(81,1)}
        56:{1,2,4,7}:{(32,1),(40,1),(76,1),(79,1),(81,1),(126,1)}
        57:{1,3,4}:{(33,1),(35,1),(41,1),(77,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(80,1),(82,1),(83,1),(129,1)}
        59:{1,2,3,7}:{(34,1),(81,1),(83,1)}
        60:{2,3,5,6}:{(36,1),(39,1),(42,1),(78,1),(84,1),(85,1),(87,1),(132,1),(160,1)}
        61:{2,5,7}:{(36,1),(37,1),(40,1),(86,1)}
        62:{1,3,6,7}:{(37,1),(38,1),(44,1),(86,1),(91,1)}
        63:{2,3,4,6}:{(39,1),(41,1),(80,1),(84,1),(87,1),(88,1),(132,1)}
        64:{2,3,7}:{(39,1),(40,1),(81,1)}
        65:{3,4,6}:{(42,1),(84,1),(89,1),(90,1)}
        66:{3,5,7}:{(42,1),(43,1),(90,1),(91,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(86,1),(91,1),(92,1),(135,1)}
        68:{1,5,6,7}:{(44,1),(45,1),(92,1),(159,1)}
        69:{1,4,5,6}:{(47,1),(49,1),(93,1),(94,1),(102,1),(167,1)}
        70:{2,4,5,7}:{(47,1),(48,1),(50,1),(94,1),(95,1),(109,1),(148,1)}
        71:{3,4,6,7}:{(48,1),(95,1),(96,1)}
        72:{2,5,6}:{(49,1),(51,1),(98,1)}
        73:{1,3,5,7}:{(49,1),(50,1),(52,1),(94,1),(98,1),(99,1),(137,1)}
        74:{2,3,6,7}:{(50,1),(95,1),(99,1)}
        75:{2,3,6}:{(51,1),(53,1),(55,1),(101,1)}
        76:{2,4,7}:{(51,1),(52,1),(98,1),(101,1)}
        77:{2,3,4}:{(53,1),(57,1)}
        78:{1,3,5,6}:{(54,1),(55,1),(60,1),(97,1),(102,1),(103,1),(105,1),(146,1),(167,1)}
        79:{1,2,5,7}:{(54,1),(56,1),(61,1),(98,1),(103,1),(104,1)}
        80:{1,3,4,6}:{(55,1),(57,1),(58,1),(63,1),(100,1),(102,1),(105,1),(106,1),(146,1)}
        81:{1,3,7}:{(55,1),(56,1),(64,1),(101,1)}
        82:{1,2,5}:{(58,1),(105,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(106,1),(107,1)}
        84:{2,4,6}:{(60,1),(65,1),(102,1),(108,1),(109,1)}
        85:{2,3,5,7}:{(60,1),(61,1),(64,1),(66,1),(103,1),(109,1),(110,1),(148,1)}
        86:{2,6,7}:{(61,1),(62,1)}
        87:{2,3,5}:{(63,1),(105,1),(108,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(106,1),(109,1),(111,1)}
        89:{3,4,5}:{(65,1),(108,1)}
        90:{3,4,7}:{(65,1),(66,1),(109,1)}
        91:{3,6,7}:{(66,1),(67,1)}
        92:{2,5,6,7}:{(67,1),(68,1),(114,1),(148,1)}
        93:{2,4,5,6}:{(69,1),(72,1),(115,1),(116,1),(120,1),(171,1),(174,1)}
        94:{1,4,5,7}:{(69,1),(70,1),(73,1),(116,1),(117,1),(126,1),(159,1)}
        95:{2,4,6,7}:{(70,1),(71,1),(74,1),(117,1),(118,1)}
        96:{3,5,6,7}:{(71,1),(118,1),(119,1),(134,1)}
        97:{2,3,5,6}:{(72,1),(75,1),(78,1),(115,1),(120,1),(121,1),(123,1),(157,1),(171,1)}
        98:{2,5,7}:{(72,1),(73,1),(76,1),(122,1)}
        99:{1,3,6,7}:{(73,1),(74,1),(117,1),(122,1),(153,1)}
       100:{2,3,4,6}:{(75,1),(77,1),(80,1),(120,1),(123,1),(124,1),(157,1)}
       101:{2,3,7}:{(75,1),(76,1),(81,1)}
       102:{1,4,6}:{(78,1),(84,1),(120,1),(125,1),(126,1)}
       103:{1,3,5,7}:{(78,1),(79,1),(81,1),(85,1),(121,1),(126,1),(127,1),(159,1)}
       104:{1,2,6,7}:{(79,1),(86,1),(122,1),(127,1),(129,1)}
       105:{1,3,5}:{(80,1),(82,1),(87,1),(123,1),(125,1)}
       106:{1,3,4,7}:{(80,1),(81,1),(83,1),(88,1),(124,1),(126,1),(128,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(128,1),(129,1)}
       108:{2,4,5}:{(84,1),(87,1),(89,1),(125,1)}
       109:{2,4,7}:{(84,1),(85,1),(90,1),(126,1)}
       110:{2,3,6,7}:{(85,1),(86,1),(91,1),(127,1),(131,1),(132,1)}
       111:{2,3,5,7}:{(87,1),(88,1),(128,1),(130,1),(132,1)}
       112:{3,4,5,7}:{(89,1),(90,1),(130,1),(133,1),(134,1)}
       113:{3,4,6,7}:{(90,1),(91,1),(131,1),(133,1),(134,1),(135,1)}
       114:{3,5,6,7}:{(91,1),(92,1),(134,1),(135,1)}
       115:{3,5,6}:{(93,1),(136,1),(137,1)}
       116:{2,4,5,7}:{(93,1),(94,1),(98,1),(137,1),(138,1),(141,1),(166,1),(173,1)}
       117:{1,4,6,7}:{(94,1),(95,1),(99,1),(138,1),(139,1)}
       118:{2,5,6,7}:{(95,1),(96,1),(139,1),(148,1)}
       119:{4,5,6,7}:{(96,1),(150,1)}
       120:{2,4,6}:{(97,1),(102,1),(136,1),(140,1),(141,1)}
       121:{2,3,5,7}:{(97,1),(98,1),(101,1),(103,1),(137,1),(141,1),(142,1),(166,1)}
       122:{2,6,7}:{(98,1),(99,1)}
       123:{2,3,5}:{(100,1),(105,1),(140,1)}
       124:{2,3,4,7}:{(100,1),(101,1),(106,1),(141,1),(143,1)}
       125:{1,4,5}:{(102,1),(105,1),(108,1),(140,1)}
       126:{1,4,7}:{(102,1),(103,1),(109,1),(141,1)}
       127:{1,3,6,7}:{(103,1),(104,1),(110,1),(142,1),(145,1),(146,1)}
       128:{1,3,5,7}:{(105,1),(106,1),(107,1),(111,1),(143,1),(144,1),(146,1)}
       129:{1,2,6}:{(107,1),(146,1)}
       130:{2,4,5,7}:{(108,1),(109,1),(111,1),(112,1),(144,1),(147,1),(148,1)}
       131:{2,4,6,7}:{(109,1),(110,1),(113,1),(145,1),(147,1),(148,1)}
       132:{2,3,6}:{(111,1),(146,1),(147,1)}
       133:{3,4,6}:{(112,1),(147,1),(149,1)}
       134:{3,5,7}:{(113,1),(148,1),(149,1),(150,1)}
       135:{4,6,7}:{(114,1),(150,1)}
       136:{3,4,6}:{(115,1),(120,1),(151,1),(152,1)}
       137:{3,5,7}:{(115,1),(116,1),(152,1),(153,1)}
       138:{2,4,6,7}:{(116,1),(117,1),(122,1),(153,1),(154,1),(170,1)}
       139:{1,5,6,7}:{(117,1),(118,1),(154,1),(159,1)}
       140:{2,4,5}:{(120,1),(123,1),(125,1),(151,1)}
       141:{2,4,7}:{(120,1),(121,1),(126,1),(152,1)}
       142:{2,3,6,7}:{(121,1),(122,1),(127,1),(153,1),(156,1),(157,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(128,1),(155,1),(157,1)}
       144:{1,4,5,7}:{(125,1),(126,1),(128,1),(130,1),(155,1),(158,1),(159,1)}
       145:{1,4,6,7}:{(126,1),(127,1),(131,1),(156,1),(158,1),(159,1)}
       146:{1,3,6}:{(128,1),(129,1),(132,1),(157,1),(158,1)}
       147:{2,4,6}:{(130,1),(132,1),(133,1),(158,1),(160,1)}
       148:{2,5,7}:{(131,1),(134,1),(159,1),(160,1)}
       149:{3,5,6}:{(133,1),(134,1),(160,1),(161,1)}
       150:{4,5,7}:{(134,1),(135,1),(161,1)}
       151:{3,4,5}:{(136,1),(140,1)}
       152:{3,4,7}:{(136,1),(137,1),(141,1)}
       153:{3,6,7}:{(137,1),(138,1)}
       154:{2,5,6,7}:{(138,1),(139,1),(164,1),(166,1)}
       155:{2,4,5,7}:{(140,1),(141,1),(143,1),(144,1),(162,1),(165,1),(166,1)}
       156:{2,4,6,7}:{(141,1),(142,1),(145,1),(163,1),(165,1),(166,1)}
       157:{2,3,6}:{(143,1),(146,1),(165,1)}
       158:{1,4,6}:{(144,1),(146,1),(147,1),(165,1),(167,1)}
       159:{1,5,7}:{(145,1),(148,1),(166,1),(167,1)}
       160:{2,5,6}:{(147,1),(148,1),(149,1),(167,1)}
       161:{4,5,6}:{(149,1),(150,1)}
       162:{3,4,5,7}:{(151,1),(152,1),(155,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(156,1),(168,1),(169,1),(170,1)}
       164:{3,5,6,7}:{(153,1),(154,1),(169,1),(170,1)}
       165:{2,4,6}:{(155,1),(157,1),(158,1),(168,1),(171,1)}
       166:{2,5,7}:{(156,1),(159,1),(169,1),(171,1)}
       167:{1,5,6}:{(158,1),(159,1),(160,1),(171,1)}
       168:{3,4,6}:{(162,1),(165,1),(172,1)}
       169:{3,5,7}:{(163,1),(166,1),(172,1),(173,1)}
       170:{4,6,7}:{(164,1),(173,1)}
       171:{2,5,6}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6}:{(168,1),(169,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2437 :   0:{2,3,4,5,7}:{(2,1),(3,1),(27,1),(64,1),(136,1),(151,1),(158,1),(163,1),(235,1),(251,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(38,1),(40,1),(120,1),(188,1),(216,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(38,1),(48,1),(99,1),(108,1),(191,1),(199,1),(201,1),(213,1),(298,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(97,1),(184,1),(207,1),(214,1)}
         4:{1,2,3,6,7}:{(5,1),(12,1),(13,1),(101,1),(120,1),(123,1),(209,1),(218,1),(316,1),(387,1)}
         5:{1,2,3,6}:{(1,1),(19,1),(67,1),(267,1)}
         6:{1,2,4,7}:{(1,1),(17,1),(19,1),(239,1)}
         7:{2,3,4,7}:{(17,1),(21,1),(22,1),(153,1),(248,1)}
         8:{2,4,5,7}:{(2,1),(22,1),(23,1),(73,1),(77,1),(153,1),(249,1),(341,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(23,1),(24,1),(67,1),(142,1),(152,1),(265,1)}
        10:{2,3,5,6}:{(3,1),(24,1),(26,1),(27,1),(254,1),(261,1)}
        11:{2,3,4,6,7}:{(3,1),(25,1),(27,1),(33,1),(138,1),(175,1),(235,1),(251,1),(258,1),(266,1)}
        12:{1,2,3,5,7}:{(4,1),(18,1),(29,1),(30,1),(85,1),(143,1),(245,1),(339,1),(397,1),(407,1)}
        13:{1,2,4,6,7}:{(4,1),(19,1),(28,1),(29,1),(30,1),(86,1),(166,1),(260,1),(266,1),(267,1)}
        14:{2,3,4,6,7}:{(21,1),(28,1),(31,1),(75,1),(84,1),(89,1),(153,1),(168,1),(174,1),(266,1),(345,1),(405,1),(424,1)}
        15:{2,3,5,6,7}:{(27,1),(32,1),(33,1),(35,1),(94,1),(175,1)}
        16:{2,4,5,6,7}:{(33,1),(34,1),(35,1),(94,1),(255,1),(279,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(36,1),(37,1),(38,1),(191,1),(289,1)}
        18:{1,2,3,5,6}:{(5,1),(12,1),(39,1),(40,1),(55,1),(100,1),(103,1),(123,1),(188,1),(194,1),(209,1),(293,1),(310,1),(371,1),(385,1)}
        19:{1,2,4,6}:{(5,1),(6,1),(37,1),(40,1)}
        20:{1,2,4,5,7}:{(6,1),(8,1),(38,1),(40,1),(41,1),(95,1),(99,1),(105,1),(191,1),(213,1),(216,1),(290,1),(372,1)}
        21:{2,3,4,6}:{(7,1),(37,1),(43,1),(44,1),(109,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(38,1),(43,1),(44,1),(296,1),(373,1)}
        23:{2,4,6}:{(8,1),(9,1),(44,1),(45,1)}
        24:{1,3,5,6}:{(9,1),(10,1),(45,1),(47,1),(48,1),(111,1),(311,1)}
        25:{1,3,4,6,7}:{(9,1),(11,1),(46,1),(48,1),(59,1),(101,1),(129,1),(191,1),(201,1),(226,1),(298,1),(315,1)}
        26:{2,4,5,6}:{(10,1),(47,1),(49,1),(50,1),(184,1)}
        27:{2,3,5,7}:{(10,1),(11,1),(48,1),(50,1),(303,1),(312,1)}
        28:{1,3,4,6,7}:{(13,1),(14,1),(37,1),(51,1),(52,1),(53,1),(101,1),(118,1),(121,1),(123,1),(191,1),(217,1),(309,1),(315,1),(387,1),(419,1)}
        29:{1,2,4,7}:{(12,1),(39,1),(53,1),(191,1),(292,1),(419,1)}
        30:{1,2,5,7}:{(13,1),(40,1),(52,1),(55,1),(310,1),(312,1)}
        31:{2,3,5,7}:{(14,1),(43,1),(52,1),(56,1),(57,1),(221,1),(312,1),(378,1)}
        32:{1,3,5,6,7}:{(15,1),(48,1),(58,1),(59,1),(129,1),(134,1),(226,1)}
        33:{2,4,6,7}:{(15,1),(50,1),(59,1),(60,1)}
        34:{1,4,5,6,7}:{(16,1),(59,1),(61,1),(62,1),(134,1),(211,1),(229,1)}
        35:{3,5,6,7}:{(16,1),(60,1),(303,1),(325,1)}
        36:{2,3,4,7}:{(17,1),(63,1),(64,1),(235,1),(329,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(21,1),(63,1),(66,1),(67,1),(142,1)}
        38:{1,3,5,7}:{(17,1),(20,1),(22,1),(64,1),(66,1),(67,1),(336,1),(397,1)}
        39:{1,2,4,6}:{(18,1),(29,1),(68,1),(69,1),(142,1),(239,1),(241,1),(406,1)}
        40:{1,2,5}:{(19,1),(66,1)}
        41:{1,2,4,6}:{(20,1),(23,1),(67,1),(70,1),(135,1),(142,1),(265,1),(267,1)}
        42:{2,3,4,5,7}:{(22,1),(65,1),(72,1),(73,1),(88,1),(150,1),(153,1),(163,1),(233,1),(332,1)}
        43:{2,3,5}:{(21,1),(66,1),(73,1)}
        44:{2,3,6}:{(22,1),(23,1),(67,1)}
        45:{2,5,6}:{(23,1),(24,1),(77,1)}
        46:{2,4,6,7}:{(23,1),(25,1),(75,1),(77,1),(153,1),(276,1),(341,1)}
        47:{1,4,5,6}:{(24,1),(26,1),(76,1),(79,1),(142,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(27,1),(77,1),(79,1),(155,1),(354,1)}
        49:{3,4,5,6}:{(26,1),(80,1),(234,1),(254,1)}
        50:{2,4,5,7}:{(26,1),(27,1),(33,1),(79,1),(80,1),(235,1)}
        51:{2,3,4,6,7}:{(28,1),(63,1),(81,1),(84,1),(138,1),(159,1),(168,1),(235,1),(258,1),(266,1),(270,1),(360,1),(408,1)}
        52:{1,3,5,7}:{(28,1),(30,1),(31,1),(66,1),(81,1),(82,1),(83,1),(352,1),(354,1)}
        53:{1,3,4,7}:{(29,1),(68,1),(84,1),(85,1),(397,1)}
        54:{1,2,4,5,7}:{(29,1),(30,1),(69,1),(82,1),(85,1),(86,1),(163,1)}
        55:{1,2,5,6}:{(30,1),(83,1),(86,1),(261,1),(267,1)}
        56:{2,4,5,7}:{(31,1),(73,1),(82,1),(88,1),(89,1),(153,1),(402,1),(424,1)}
        57:{2,3,5,6}:{(31,1),(83,1),(89,1),(168,1),(170,1),(261,1)}
        58:{2,5,6,7}:{(32,1),(77,1),(91,1),(276,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(79,1),(91,1)}
        60:{3,4,6,7}:{(33,1),(35,1),(80,1)}
        61:{2,4,5,6,7}:{(34,1),(91,1),(93,1),(94,1),(171,1),(179,1)}
        62:{1,3,5,6,7}:{(34,1),(35,1),(92,1),(93,1),(94,1),(262,1)}
        63:{2,3,4,6}:{(36,1),(37,1),(96,1),(97,1),(184,1)}
        64:{2,3,5,7}:{(36,1),(38,1),(95,1),(96,1),(97,1),(366,1),(411,1)}
        65:{1,3,4,5,7}:{(38,1),(42,1),(95,1),(98,1),(99,1),(183,1),(187,1),(191,1),(213,1),(283,1),(285,1),(368,1)}
        66:{1,3,5}:{(37,1),(40,1),(43,1),(96,1),(99,1)}
        67:{1,3,6}:{(38,1),(41,1),(44,1),(97,1)}
        68:{1,3,4,6}:{(39,1),(53,1),(102,1),(103,1),(123,1),(289,1),(371,1)}
        69:{1,2,4,5}:{(39,1),(40,1),(99,1),(103,1),(189,1),(310,1),(384,1)}
        70:{1,2,5,6}:{(40,1),(41,1),(45,1),(100,1),(105,1),(181,1),(311,1)}
        71:{1,2,4,6,7}:{(41,1),(46,1),(101,1),(105,1),(182,1),(191,1),(315,1),(316,1),(372,1)}
        72:{2,3,4,6}:{(42,1),(44,1),(98,1),(106,1),(109,1),(127,1),(214,1)}
        73:{2,4,5}:{(43,1),(99,1),(108,1),(109,1)}
        74:{2,3,5,6}:{(43,1),(44,1),(45,1),(100,1),(109,1),(110,1),(111,1)}
        75:{2,3,6,7}:{(44,1),(46,1),(101,1),(110,1),(129,1),(373,1)}
        76:{2,4,5,6}:{(45,1),(47,1),(109,1),(111,1),(112,1)}
        77:{2,5,7}:{(45,1),(46,1),(48,1)}
        78:{1,3,4,5,6}:{(47,1),(49,1),(111,1),(113,1),(114,1),(131,1),(190,1),(202,1),(210,1),(227,1),(323,1)}
        79:{1,4,5,7}:{(47,1),(48,1),(50,1),(59,1),(112,1),(191,1)}
        80:{3,4,5,7}:{(49,1),(50,1),(60,1),(285,1),(303,1)}
        81:{2,3,5,7}:{(51,1),(52,1),(96,1),(115,1),(116,1),(303,1),(312,1),(317,1)}
        82:{1,4,5,7}:{(52,1),(56,1),(99,1),(115,1),(118,1),(191,1),(384,1),(419,1)}
        83:{1,3,5,6}:{(52,1),(55,1),(57,1),(116,1),(118,1),(123,1),(217,1),(311,1)}
        84:{2,3,4,7}:{(53,1),(102,1),(121,1),(122,1),(292,1),(373,1),(411,1)}
        85:{1,3,5,7}:{(53,1),(54,1),(103,1),(122,1),(123,1)}
        86:{1,2,4,6}:{(54,1),(55,1),(118,1),(123,1),(214,1)}
        87:{1,2,5,6,7}:{(55,1),(58,1),(105,1),(119,1),(124,1),(134,1),(230,1),(280,1),(312,1),(316,1),(383,1),(386,1),(416,1)}
        88:{3,4,5,7}:{(56,1),(108,1),(127,1),(201,1),(221,1),(413,1),(426,1)}
        89:{2,4,6}:{(56,1),(57,1),(118,1),(127,1)}
        90:{2,3,5,6,7}:{(57,1),(58,1),(110,1),(119,1),(128,1),(129,1),(218,1),(221,1),(312,1),(416,1),(418,1),(425,1)}
        91:{2,4,6,7}:{(58,1),(59,1),(112,1),(129,1)}
        92:{1,3,4,6,7}:{(59,1),(60,1),(62,1),(114,1),(129,1),(130,1),(132,1),(226,1),(229,1),(325,1)}
        93:{3,5,6,7}:{(61,1),(129,1),(132,1),(221,1)}
        94:{2,5,6,7}:{(62,1),(130,1),(134,1),(312,1)}
        95:{2,4,5,7}:{(64,1),(65,1),(135,1),(136,1),(232,1),(235,1),(330,1),(395,1)}
        96:{2,3,5}:{(63,1),(66,1),(136,1)}
        97:{2,3,6}:{(64,1),(67,1),(135,1)}
        98:{1,3,4,6}:{(65,1),(67,1),(72,1),(135,1),(139,1),(142,1),(234,1),(265,1)}
        99:{1,4,5}:{(66,1),(73,1),(136,1),(142,1)}
       100:{1,3,5,6}:{(66,1),(67,1),(70,1),(74,1),(137,1),(142,1),(143,1)}
       101:{1,3,6,7}:{(67,1),(71,1),(75,1),(138,1),(143,1),(397,1)}
       102:{2,3,4,6}:{(68,1),(84,1),(145,1),(146,1),(168,1),(241,1),(248,1),(329,1),(340,1),(394,1)}
       103:{1,3,5}:{(68,1),(69,1),(146,1)}
       104:{1,2,4,5,6}:{(69,1),(70,1),(76,1),(86,1),(142,1),(147,1),(148,1),(156,1),(161,1),(231,1),(241,1),(252,1),(261,1),(277,1),(334,1),(337,1),(353,1),(392,1),(399,1),(406,1)}
       105:{1,2,5,7}:{(70,1),(71,1),(77,1),(143,1),(232,1),(354,1)}
       106:{2,3,5,6}:{(72,1),(139,1),(149,1),(150,1),(170,1),(261,1)}
       107:{2,3,4,6,7}:{(72,1),(75,1),(140,1),(150,1),(153,1),(174,1),(246,1),(266,1),(332,1),(391,1)}
       108:{3,4,5}:{(73,1),(152,1)}
       109:{2,4,6}:{(73,1),(74,1),(142,1),(152,1),(153,1)}
       110:{2,3,5,7}:{(74,1),(75,1),(77,1),(143,1),(153,1),(155,1)}
       111:{3,5,6}:{(76,1),(152,1),(155,1)}
       112:{2,4,5,7}:{(76,1),(77,1),(79,1),(91,1),(153,1),(155,1)}
       113:{2,4,5,6}:{(78,1),(154,1),(156,1),(157,1),(241,1),(252,1),(261,1)}
       114:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(92,1),(155,1),(157,1),(178,1),(242,1),(253,1),(262,1),(278,1),(362,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(136,1),(158,1),(159,1),(235,1),(357,1),(408,1)}
       116:{2,3,5,6}:{(81,1),(83,1),(159,1),(168,1),(254,1),(261,1)}
       117:{1,3,4,5,7}:{(82,1),(85,1),(88,1),(141,1),(158,1),(163,1),(164,1),(242,1),(262,1)}
       118:{1,4,6}:{(82,1),(83,1),(89,1),(159,1)}
       119:{1,3,5,6,7}:{(83,1),(87,1),(90,1),(143,1),(160,1),(165,1),(169,1),(262,1),(268,1),(354,1),(407,1)}
       120:{1,2,3,7}:{(144,1),(166,1),(397,1)}
       121:{1,3,4,7}:{(84,1),(145,1),(166,1),(167,1),(338,1),(397,1)}
       122:{2,3,5,7}:{(84,1),(85,1),(146,1),(163,1),(167,1),(168,1)}
       123:{1,3,6}:{(85,1),(86,1),(168,1)}
       124:{1,2,4,6,7}:{(86,1),(87,1),(91,1),(148,1),(165,1),(169,1),(176,1),(266,1),(276,1),(279,1),(326,1),(396,1),(420,1),(421,1)}
       125:{2,4,5,6}:{(89,1),(161,1),(170,1),(171,1),(261,1)}
       126:{2,3,4,5,7}:{(88,1),(151,1),(163,1),(172,1),(173,1),(251,1),(272,1),(348,1),(402,1),(424,1)}
       127:{3,4,6}:{(88,1),(89,1),(170,1)}
       128:{2,4,6,7}:{(89,1),(90,1),(153,1),(165,1),(171,1),(174,1),(424,1)}
       129:{3,6,7}:{(91,1),(155,1)}
       130:{2,4,6,7}:{(92,1),(94,1),(157,1),(175,1),(176,1),(276,1)}
       131:{3,4,5,6}:{(170,1),(177,1),(178,1),(422,1)}
       132:{3,4,6,7}:{(93,1),(178,1),(179,1)}
       133:{2,3,5,6,7}:{(93,1),(94,1),(175,1),(179,1),(180,1),(272,1)}
       134:{1,5,6,7}:{(94,1),(176,1),(354,1)}
       135:{2,4,6}:{(95,1),(97,1),(98,1),(181,1)}
       136:{2,4,5}:{(96,1),(99,1),(183,1),(184,1)}
       137:{2,3,5,6}:{(96,1),(97,1),(100,1),(181,1),(184,1),(185,1),(281,1)}
       138:{2,3,6,7}:{(97,1),(101,1),(182,1),(185,1),(363,1),(411,1)}
       139:{1,3,5,6}:{(98,1),(106,1),(181,1),(186,1),(187,1),(281,1),(311,1)}
       140:{1,3,4,6,7}:{(98,1),(101,1),(107,1),(182,1),(187,1),(191,1),(285,1),(286,1),(315,1),(363,1),(368,1),(409,1)}
       141:{1,3,4,5}:{(99,1),(103,1),(108,1),(183,1),(189,1),(190,1),(322,1),(384,1),(413,1)}
       142:{1,4,6}:{(99,1),(100,1),(109,1),(184,1),(191,1)}
       143:{1,3,5,7}:{(100,1),(101,1),(105,1),(110,1),(185,1),(191,1)}
       144:{1,2,3,6}:{(120,1),(188,1),(192,1),(371,1)}
       145:{1,3,4,6}:{(102,1),(121,1),(192,1),(193,1),(217,1),(289,1),(291,1),(371,1)}
       146:{2,3,5}:{(102,1),(103,1),(189,1),(193,1)}
       147:{1,3,5,6}:{(103,1),(104,1),(111,1),(123,1),(190,1),(194,1),(195,1),(281,1),(323,1),(371,1),(414,1)}
       148:{1,2,4,5,7}:{(104,1),(105,1),(112,1),(124,1),(191,1),(195,1),(204,1),(211,1),(282,1),(292,1),(299,1),(312,1),(324,1),(370,1),(372,1),(386,1),(410,1),(415,1),(419,1)}
       149:{2,4,5,6}:{(106,1),(109,1),(186,1),(197,1),(198,1)}
       150:{2,3,5,7}:{(106,1),(107,1),(187,1),(198,1),(221,1),(312,1)}
       151:{2,3,4,5}:{(108,1),(189,1),(199,1),(200,1),(322,1),(366,1)}
       152:{3,4,6}:{(108,1),(109,1),(111,1),(201,1)}
       153:{2,4,7}:{(109,1),(110,1),(191,1),(201,1)}
       154:{2,3,5,6}:{(111,1),(113,1),(200,1),(202,1),(203,1),(323,1)}
       155:{3,5,7}:{(111,1),(112,1),(129,1),(201,1)}
       156:{1,4,5,6}:{(113,1),(202,1),(204,1),(291,1),(311,1)}
       157:{2,4,5,7}:{(113,1),(114,1),(130,1),(203,1),(204,1),(292,1),(299,1),(312,1)}
       158:{3,4,5,7}:{(115,1),(183,1),(207,1),(285,1),(303,1),(322,1),(390,1)}
       159:{2,4,6}:{(115,1),(116,1),(118,1),(207,1)}
       160:{2,3,5,6,7}:{(116,1),(119,1),(185,1),(208,1),(218,1),(230,1),(280,1),(303,1),(312,1),(325,1),(363,1),(389,1)}
       161:{1,4,5,6}:{(118,1),(125,1),(205,1),(210,1),(211,1),(311,1)}
       162:{1,2,3,5,7}:{(120,1),(188,1),(209,1),(212,1),(216,1),(310,1),(313,1)}
       163:{2,4,5,7}:{(117,1),(122,1),(189,1),(213,1),(214,1),(292,1),(312,1)}
       164:{1,3,4,6}:{(117,1),(118,1),(123,1),(127,1),(207,1),(210,1),(214,1)}
       165:{1,4,6,7}:{(118,1),(119,1),(128,1),(191,1),(208,1),(211,1),(419,1)}
       166:{1,2,4,7}:{(120,1),(121,1),(192,1),(216,1)}
       167:{1,3,5,7}:{(121,1),(122,1),(193,1),(213,1),(216,1),(217,1)}
       168:{2,3,6}:{(122,1),(123,1),(214,1),(217,1)}
       169:{1,3,6,7}:{(123,1),(124,1),(129,1),(195,1),(218,1),(325,1),(363,1),(425,1)}
       170:{3,5,6}:{(125,1),(127,1),(221,1)}
       171:{2,4,5,7}:{(125,1),(128,1),(211,1),(221,1),(312,1)}
       172:{1,3,4,5,7}:{(126,1),(199,1),(213,1),(223,1),(224,1),(298,1),(313,1),(319,1),(322,1),(384,1),(390,1),(419,1)}
       173:{2,3,4,6}:{(126,1),(127,1),(214,1),(220,1),(224,1),(381,1),(417,1)}
       174:{3,4,6,7}:{(127,1),(128,1),(129,1),(201,1),(221,1),(425,1),(426,1)}
       175:{2,3,6,7}:{(129,1),(130,1),(203,1),(226,1),(325,1)}
       176:{1,4,6,7}:{(130,1),(134,1),(204,1),(226,1)}
       177:{2,4,5,6}:{(131,1),(220,1),(227,1),(228,1),(417,1)}
       178:{3,4,5,7}:{(131,1),(132,1),(221,1),(228,1),(426,1)}
       179:{2,4,6,7}:{(132,1),(133,1),(228,1),(229,1)}
       180:{1,3,5,6,7}:{(133,1),(134,1),(226,1),(229,1),(230,1),(319,1),(325,1)}
       181:{2,5,6}:{(135,1),(139,1),(232,1)}
       182:{2,4,6,7}:{(135,1),(138,1),(140,1),(232,1),(235,1),(395,1),(420,1)}
       183:{3,4,5}:{(136,1),(234,1)}
       184:{2,4,6}:{(136,1),(137,1),(142,1),(234,1),(235,1)}
       185:{2,3,5,7}:{(137,1),(138,1),(143,1),(232,1),(235,1),(328,1)}
       186:{1,4,5,6}:{(139,1),(142,1),(149,1),(231,1),(238,1)}
       187:{1,3,5,7}:{(139,1),(140,1),(150,1),(232,1),(238,1),(328,1),(354,1)}
       188:{1,2,3,5}:{(144,1),(239,1),(243,1),(336,1)}
       189:{2,4,5}:{(141,1),(146,1),(240,1),(241,1)}
       190:{1,3,4,6}:{(141,1),(142,1),(147,1),(152,1),(234,1),(241,1),(242,1),(361,1),(406,1),(422,1)}
       191:{1,4,7}:{(142,1),(143,1),(153,1),(235,1)}
       192:{1,2,4,6}:{(144,1),(145,1),(166,1),(239,1),(243,1),(267,1)}
       193:{1,3,5}:{(145,1),(146,1),(240,1),(243,1)}
       194:{2,3,5,6}:{(146,1),(147,1),(168,1),(241,1),(244,1),(245,1),(252,1),(261,1),(340,1),(392,1),(394,1)}
       195:{1,3,5,7}:{(147,1),(148,1),(155,1),(169,1),(242,1),(245,1),(328,1),(362,1),(397,1),(423,1)}
       196:{2,3,5,6,7}:{(150,1),(236,1),(246,1),(269,1),(351,1),(391,1)}
       197:{3,4,5,6}:{(149,1),(152,1),(170,1),(247,1)}
       198:{2,4,5,7}:{(149,1),(150,1),(153,1),(238,1),(246,1),(247,1)}
       199:{1,3,4,5}:{(151,1),(240,1),(249,1),(250,1),(336,1)}
       200:{2,3,4,6}:{(151,1),(152,1),(154,1),(241,1),(250,1),(251,1),(361,1),(394,1)}
       201:{3,4,7}:{(152,1),(153,1),(155,1)}
       202:{1,3,5,6}:{(154,1),(156,1),(250,1),(252,1),(253,1)}
       203:{2,3,5,7}:{(154,1),(155,1),(157,1),(175,1),(251,1),(253,1),(362,1)}
       204:{1,4,5,7}:{(156,1),(157,1),(176,1),(253,1),(338,1),(354,1)}
       205:{2,4,5,6}:{(159,1),(161,1),(254,1),(255,1),(261,1)}
       206:{2,3,4,5,7}:{(158,1),(163,1),(233,1),(256,1),(257,1),(273,1),(332,1),(347,1),(357,1),(408,1)}
       207:{3,4,6}:{(158,1),(159,1),(254,1)}
       208:{2,4,6,7}:{(159,1),(160,1),(165,1),(235,1),(255,1),(258,1),(408,1)}
       209:{1,2,3,6}:{(162,1),(260,1),(267,1),(355,1)}
       210:{1,3,5,6}:{(161,1),(164,1),(170,1),(254,1),(261,1),(262,1)}
       211:{1,4,5,7}:{(161,1),(165,1),(171,1),(255,1),(262,1),(354,1)}
       212:{1,2,4,7}:{(162,1),(239,1),(260,1),(263,1)}
       213:{1,4,5,7}:{(163,1),(167,1),(240,1),(265,1),(338,1),(354,1)}
       214:{2,4,6}:{(163,1),(164,1),(168,1),(261,1),(265,1)}
       215:{1,3,4,6,7}:{(164,1),(165,1),(169,1),(174,1),(242,1),(258,1),(262,1),(266,1)}
       216:{1,2,5,7}:{(166,1),(167,1),(243,1),(267,1)}
       217:{1,3,6}:{(167,1),(168,1),(265,1),(267,1)}
       218:{2,3,6,7}:{(168,1),(169,1),(245,1),(266,1),(268,1),(276,1),(420,1)}
       219:{2,4,5,6,7}:{(171,1),(246,1),(259,1),(269,1),(351,1),(421,1)}
       220:{2,3,5,6}:{(170,1),(173,1),(177,1),(261,1),(271,1),(272,1)}
       221:{3,5,7}:{(170,1),(171,1),(174,1)}
       222:{2,3,4,7}:{(248,1),(263,1),(270,1),(273,1),(408,1)}
       223:{2,4,5,7}:{(172,1),(249,1),(273,1),(274,1),(341,1),(357,1),(359,1),(408,1)}
       224:{1,3,4,6}:{(172,1),(173,1),(265,1),(271,1),(274,1),(355,1),(361,1),(406,1)}
       225:{2,3,4,6,7}:{(173,1),(174,1),(175,1),(179,1),(251,1),(266,1),(272,1),(275,1),(405,1),(424,1)}
       226:{1,3,6,7}:{(175,1),(176,1),(253,1),(276,1)}
       227:{1,4,5,6}:{(177,1),(271,1),(277,1),(278,1),(406,1)}
       228:{2,4,5,7}:{(177,1),(178,1),(179,1),(272,1),(278,1),(424,1)}
       229:{1,4,6,7}:{(179,1),(180,1),(278,1),(279,1)}
       230:{2,5,6,7}:{(180,1),(276,1),(279,1),(359,1)}
       231:{2,4,5,6}:{(181,1),(184,1),(186,1),(281,1),(282,1)}
       232:{2,5,7}:{(181,1),(182,1),(187,1)}
       233:{2,3,4,5}:{(183,1),(189,1),(283,1),(284,1),(296,1),(413,1)}
       234:{3,4,6}:{(183,1),(184,1),(281,1),(285,1)}
       235:{2,4,7}:{(184,1),(185,1),(191,1),(285,1)}
       236:{1,3,5,6,7}:{(187,1),(196,1),(280,1),(286,1),(363,1),(383,1),(409,1)}
       237:{1,3,4,5,6}:{(186,1),(190,1),(197,1),(210,1),(281,1),(287,1),(288,1),(300,1),(364,1),(375,1),(414,1)}
       238:{1,4,5,7}:{(186,1),(187,1),(191,1),(198,1),(282,1),(286,1)}
       239:{1,2,4}:{(188,1),(289,1)}
       240:{1,4,5}:{(189,1),(193,1),(291,1)}
       241:{2,4,6}:{(189,1),(190,1),(194,1),(291,1),(292,1)}
       242:{1,3,4,7}:{(190,1),(191,1),(195,1),(201,1),(285,1),(292,1),(390,1),(419,1),(426,1)}
       243:{1,2,5}:{(192,1),(193,1)}
       244:{1,3,5,6}:{(193,1),(194,1),(217,1),(291,1),(293,1),(294,1),(311,1),(371,1)}
       245:{2,3,5,7}:{(194,1),(195,1),(218,1),(292,1),(294,1),(299,1),(312,1),(373,1),(410,1),(411,1)}
       246:{2,4,6,7}:{(196,1),(198,1),(286,1),(295,1)}
       247:{3,4,5,7}:{(197,1),(198,1),(201,1),(221,1),(295,1)}
       248:{2,3,4}:{(289,1),(296,1)}
       249:{2,4,5}:{(199,1),(296,1),(297,1)}
       250:{1,3,4,6}:{(199,1),(200,1),(202,1),(291,1),(297,1),(298,1),(371,1)}
       251:{2,3,4,7}:{(200,1),(201,1),(203,1),(292,1),(298,1),(390,1),(411,1)}
       252:{2,5,6}:{(202,1),(297,1),(299,1)}
       253:{1,3,5,7}:{(202,1),(203,1),(204,1),(226,1),(298,1),(299,1)}
       254:{3,5,6}:{(205,1),(207,1),(303,1)}
       255:{2,4,5,7}:{(205,1),(208,1),(211,1),(303,1),(312,1)}
       256:{1,3,4,5,7}:{(206,1),(213,1),(283,1),(305,1),(306,1),(313,1),(368,1),(380,1),(384,1),(413,1),(419,1),(426,1)}
       257:{2,3,4,6}:{(206,1),(207,1),(214,1),(302,1),(306,1),(320,1),(388,1)}
       258:{3,4,6,7}:{(207,1),(208,1),(285,1),(303,1),(325,1),(363,1),(390,1)}
       259:{1,4,5,6,7}:{(211,1),(219,1),(286,1),(301,1),(308,1),(383,1),(412,1)}
       260:{1,2,4,6}:{(209,1),(212,1),(309,1),(310,1)}
       261:{2,5,6}:{(210,1),(214,1),(311,1),(312,1)}
       262:{1,3,5,7}:{(210,1),(211,1),(215,1),(221,1),(303,1),(312,1)}
       263:{1,3,4,7}:{(212,1),(222,1),(289,1),(304,1),(309,1),(313,1),(419,1)}
       264:{1,2,4,5,7}:{(212,1),(213,1),(216,1),(223,1),(290,1),(305,1),(310,1),(313,1),(314,1),(372,1),(384,1),(386,1),(419,1)}
       265:{1,4,6}:{(213,1),(214,1),(217,1),(311,1)}
       266:{2,4,6,7}:{(214,1),(215,1),(218,1),(292,1),(312,1),(315,1)}
       267:{1,2,6}:{(216,1),(217,1)}
       268:{1,3,6,7}:{(217,1),(218,1),(294,1),(315,1),(316,1)}
       269:{3,5,6,7}:{(219,1),(221,1),(295,1),(425,1)}
       270:{2,3,4,6}:{(222,1),(309,1),(317,1),(320,1),(388,1)}
       271:{1,3,5,6}:{(220,1),(224,1),(227,1),(311,1),(318,1),(319,1),(323,1)}
       272:{2,3,5,7}:{(220,1),(221,1),(225,1),(228,1),(312,1),(319,1)}
       273:{2,3,5,7}:{(222,1),(223,1),(296,1),(313,1),(317,1),(320,1),(373,1)}
       274:{2,4,6}:{(223,1),(224,1),(318,1),(320,1)}
       275:{1,3,4,6,7}:{(224,1),(225,1),(226,1),(229,1),(298,1),(315,1),(319,1),(321,1),(325,1),(387,1),(390,1),(419,1)}
       276:{2,6,7}:{(226,1),(299,1)}
       277:{2,4,5,6}:{(227,1),(318,1),(323,1),(324,1),(388,1)}
       278:{1,4,5,7}:{(227,1),(228,1),(229,1),(319,1),(324,1),(419,1)}
       279:{2,4,6,7}:{(229,1),(230,1),(324,1),(325,1)}
       280:{2,5,6,7}:{(232,1),(236,1),(326,1),(420,1)}
       281:{3,5,6}:{(231,1),(234,1),(328,1)}
       282:{2,4,5,7}:{(231,1),(232,1),(235,1),(238,1),(326,1),(328,1)}
       283:{1,3,4,5}:{(233,1),(240,1),(330,1),(331,1),(336,1)}
       284:{2,3,4,6}:{(233,1),(234,1),(241,1),(327,1),(331,1),(332,1),(340,1),(422,1)}
       285:{3,4,7}:{(234,1),(235,1),(328,1)}
       286:{1,4,6,7}:{(236,1),(238,1),(246,1),(326,1)}
       287:{2,4,5,6}:{(237,1),(241,1),(261,1),(327,1),(334,1),(335,1),(392,1)}
       288:{1,3,4,5,7}:{(237,1),(238,1),(242,1),(247,1),(262,1),(328,1),(333,1),(335,1),(343,1),(393,1),(400,1),(423,1)}
       289:{1,3,4}:{(239,1),(248,1),(329,1),(336,1)}
       290:{1,2,4,5}:{(239,1),(240,1),(243,1),(249,1),(330,1),(336,1),(337,1)}
       291:{1,4,6}:{(240,1),(241,1),(244,1),(338,1)}
       292:{2,4,7}:{(241,1),(242,1),(245,1),(338,1)}
       293:{1,2,5,6}:{(243,1),(244,1),(252,1),(267,1),(337,1),(339,1),(392,1)}
       294:{1,3,5,7}:{(244,1),(245,1),(268,1),(338,1),(339,1),(354,1),(397,1)}
       295:{3,4,6,7}:{(246,1),(247,1),(269,1)}
       296:{2,3,5}:{(248,1),(249,1),(336,1),(340,1)}
       297:{2,4,6}:{(249,1),(250,1),(252,1),(340,1),(341,1)}
       298:{1,3,4,7}:{(250,1),(251,1),(253,1),(338,1),(341,1),(397,1)}
       299:{2,5,7}:{(252,1),(253,1),(276,1),(341,1)}
       300:{3,4,5,6}:{(254,1),(342,1),(343,1),(361,1)}
       301:{2,4,5,6,7}:{(255,1),(259,1),(326,1),(344,1),(351,1),(398,1)}
       302:{2,3,5,6}:{(254,1),(257,1),(261,1),(342,1),(346,1),(347,1)}
       303:{3,5,7}:{(254,1),(255,1),(258,1)}
       304:{2,3,4,7}:{(263,1),(329,1),(345,1),(348,1),(424,1)}
       305:{2,4,5,7}:{(256,1),(330,1),(348,1),(349,1),(395,1),(402,1),(404,1),(424,1)}
       306:{1,3,4,6}:{(256,1),(257,1),(265,1),(346,1),(349,1),(355,1),(406,1),(422,1)}
       307:{2,3,4,6,7}:{(257,1),(258,1),(266,1),(332,1),(347,1),(350,1),(360,1),(391,1),(398,1),(408,1)}
       308:{1,3,5,6,7}:{(259,1),(262,1),(269,1),(333,1),(344,1),(351,1)}
       309:{1,3,4,6}:{(260,1),(263,1),(270,1),(345,1),(352,1),(355,1),(406,1)}
       310:{1,2,5}:{(260,1),(352,1)}
       311:{1,5,6}:{(261,1),(265,1),(354,1)}
       312:{2,5,7}:{(261,1),(262,1),(266,1),(354,1)}
       313:{1,3,5,7}:{(263,1),(264,1),(273,1),(336,1),(348,1),(352,1),(355,1),(397,1)}
       314:{1,2,4,6}:{(264,1),(265,1),(267,1),(274,1),(349,1),(353,1),(355,1),(406,1)}
       315:{1,4,6,7}:{(265,1),(266,1),(268,1),(338,1),(354,1)}
       316:{1,2,6,7}:{(267,1),(268,1),(276,1),(339,1),(420,1)}
       317:{2,3,5}:{(270,1),(352,1),(357,1)}
       318:{2,5,6}:{(271,1),(274,1),(359,1)}
       319:{1,3,5,7}:{(271,1),(272,1),(275,1),(278,1),(354,1),(359,1),(362,1)}
       320:{2,3,6}:{(273,1),(274,1),(355,1)}
       321:{2,4,6,7}:{(274,1),(275,1),(276,1),(341,1),(359,1),(360,1),(408,1)}
       322:{3,4,5}:{(357,1),(361,1)}
       323:{3,5,6}:{(277,1),(361,1),(362,1)}
       324:{2,4,5,7}:{(277,1),(278,1),(279,1),(359,1),(362,1),(408,1)}
       325:{3,6,7}:{(279,1),(362,1)}
       326:{2,4,6,7}:{(280,1),(282,1),(286,1),(363,1)}
       327:{2,3,5,6}:{(281,1),(284,1),(287,1),(364,1),(365,1),(414,1)}
       328:{3,5,7}:{(281,1),(282,1),(285,1),(363,1)}
       329:{2,3,4}:{(289,1),(366,1)}
       330:{2,4,5}:{(283,1),(366,1),(367,1)}
       331:{1,3,4,6}:{(283,1),(284,1),(291,1),(364,1),(367,1),(368,1),(371,1)}
       332:{2,3,4,7}:{(284,1),(285,1),(292,1),(365,1),(368,1),(373,1),(426,1)}
       333:{1,3,4,6,7}:{(286,1),(288,1),(295,1),(308,1),(363,1),(369,1),(374,1),(409,1),(412,1),(425,1)}
       334:{1,4,5,6}:{(287,1),(291,1),(311,1),(364,1),(370,1)}
       335:{2,4,5,7}:{(287,1),(288,1),(292,1),(312,1),(365,1),(369,1),(370,1),(410,1)}
       336:{1,3,5}:{(289,1),(290,1),(296,1),(366,1),(371,1)}
       337:{1,2,4,6}:{(290,1),(291,1),(293,1),(297,1),(367,1),(371,1),(372,1)}
       338:{1,4,7}:{(291,1),(292,1),(294,1)}
       339:{1,2,5,7}:{(293,1),(294,1),(299,1),(316,1),(372,1),(410,1)}
       340:{2,3,6}:{(296,1),(297,1),(371,1),(373,1)}
       341:{2,4,7}:{(297,1),(298,1),(299,1),(373,1)}
       342:{2,4,5,6}:{(300,1),(302,1),(375,1),(376,1),(388,1)}
       343:{3,4,5,7}:{(300,1),(303,1),(374,1),(376,1),(390,1)}
       344:{3,5,6,7}:{(301,1),(303,1),(363,1),(374,1)}
       345:{2,3,4,6}:{(304,1),(309,1),(378,1),(381,1),(417,1)}
       346:{1,3,5,6}:{(302,1),(306,1),(311,1),(375,1),(379,1),(380,1),(414,1)}
       347:{2,3,5,7}:{(302,1),(303,1),(307,1),(312,1),(376,1),(380,1)}
       348:{2,3,5,7}:{(304,1),(305,1),(313,1),(366,1),(378,1),(381,1),(411,1)}
       349:{2,4,6}:{(305,1),(306,1),(379,1),(381,1)}
       350:{1,3,4,6,7}:{(306,1),(307,1),(315,1),(368,1),(380,1),(382,1),(387,1),(409,1),(412,1),(419,1),(425,1),(426,1)}
       351:{2,5,6,7}:{(308,1),(312,1),(369,1),(383,1)}
       352:{1,3,5}:{(309,1),(310,1),(317,1),(378,1),(384,1)}
       353:{1,2,5,6}:{(310,1),(311,1),(314,1),(318,1),(379,1),(385,1),(386,1)}
       354:{1,5,7}:{(311,1),(312,1),(315,1)}
       355:{1,3,6}:{(313,1),(314,1),(320,1),(381,1)}
       356:{1,2,4,6,7}:{(314,1),(315,1),(316,1),(321,1),(372,1),(382,1),(386,1),(387,1),(419,1)}
       357:{2,4,5}:{(317,1),(322,1),(384,1),(388,1)}
       358:{2,3,5,6}:{(317,1),(318,1),(320,1),(323,1),(385,1),(388,1),(389,1)}
       359:{2,5,7}:{(318,1),(319,1),(321,1)}
       360:{2,3,6,7}:{(320,1),(321,1),(325,1),(373,1),(387,1),(389,1)}
       361:{3,4,6}:{(322,1),(323,1),(388,1),(390,1)}
       362:{3,5,7}:{(323,1),(324,1),(325,1),(390,1)}
       363:{3,6,7}:{(326,1),(328,1)}
       364:{1,3,5,6}:{(327,1),(331,1),(334,1),(392,1),(393,1)}
       365:{2,3,5,7}:{(327,1),(328,1),(332,1),(335,1),(391,1),(393,1),(423,1)}
       366:{2,3,5}:{(329,1),(330,1),(336,1),(394,1)}
       367:{2,4,6}:{(330,1),(331,1),(392,1),(394,1),(395,1)}
       368:{1,3,4,7}:{(331,1),(332,1),(338,1),(393,1),(395,1),(397,1)}
       369:{2,4,6,7}:{(333,1),(335,1),(351,1),(391,1),(396,1),(420,1)}
       370:{1,4,5,7}:{(334,1),(335,1),(338,1),(354,1),(393,1),(396,1)}
       371:{1,3,6}:{(336,1),(337,1),(340,1),(394,1),(397,1)}
       372:{1,2,4,7}:{(337,1),(338,1),(339,1),(341,1),(395,1),(397,1)}
       373:{2,3,7}:{(340,1),(341,1),(397,1)}
       374:{3,4,6,7}:{(343,1),(344,1),(398,1)}
       375:{1,4,5,6}:{(342,1),(346,1),(399,1),(400,1),(406,1)}
       376:{2,4,5,7}:{(342,1),(343,1),(347,1),(398,1),(400,1),(408,1)}
       377:{2,3,5,6,7}:{(344,1),(347,1),(351,1),(391,1),(398,1),(401,1)}
       378:{2,3,5}:{(345,1),(352,1),(402,1)}
       379:{2,5,6}:{(346,1),(349,1),(404,1)}
       380:{1,3,5,7}:{(346,1),(347,1),(350,1),(354,1),(400,1),(404,1),(423,1)}
       381:{2,3,6}:{(348,1),(349,1),(355,1)}
       382:{2,4,6,7}:{(349,1),(350,1),(395,1),(404,1),(405,1),(420,1),(424,1)}
       383:{1,5,6,7}:{(351,1),(354,1),(396,1)}
       384:{1,4,5}:{(352,1),(357,1),(402,1),(406,1)}
       385:{1,3,5,6}:{(352,1),(353,1),(355,1),(358,1),(403,1),(406,1),(407,1)}
       386:{1,2,5,7}:{(353,1),(354,1),(356,1),(359,1),(404,1),(407,1)}
       387:{1,3,6,7}:{(355,1),(356,1),(360,1),(397,1),(405,1),(407,1)}
       388:{2,4,6}:{(357,1),(358,1),(361,1),(406,1),(408,1)}
       389:{2,3,5,7}:{(358,1),(359,1),(360,1),(362,1),(407,1),(408,1)}
       390:{3,4,7}:{(361,1),(362,1),(408,1)}
       391:{2,3,6,7}:{(363,1),(365,1),(369,1),(409,1),(425,1)}
       392:{2,5,6}:{(364,1),(367,1),(410,1)}
       393:{1,3,5,7}:{(364,1),(365,1),(368,1),(370,1),(409,1),(410,1)}
       394:{2,3,6}:{(366,1),(367,1),(371,1),(411,1)}
       395:{2,4,7}:{(367,1),(368,1),(410,1),(411,1)}
       396:{1,4,6,7}:{(369,1),(370,1),(383,1),(409,1)}
       397:{1,3,7}:{(371,1),(372,1),(373,1),(411,1)}
       398:{2,4,6,7}:{(374,1),(376,1),(377,1),(412,1)}
       399:{2,4,5,6}:{(375,1),(379,1),(414,1),(415,1),(417,1)}
       400:{1,4,5,7}:{(375,1),(376,1),(380,1),(412,1),(415,1),(419,1)}
       401:{1,3,5,6,7}:{(377,1),(380,1),(383,1),(409,1),(412,1),(416,1),(425,1)}
       402:{2,4,5}:{(378,1),(384,1),(413,1),(417,1)}
       403:{2,3,5,6}:{(378,1),(379,1),(381,1),(385,1),(414,1),(417,1),(418,1)}
       404:{2,5,7}:{(379,1),(380,1),(382,1)}
       405:{2,3,6,7}:{(381,1),(382,1),(387,1),(411,1),(418,1),(425,1)}
       406:{1,4,6}:{(384,1),(385,1),(388,1),(417,1),(419,1)}
       407:{1,3,5,7}:{(385,1),(386,1),(387,1),(389,1),(418,1),(419,1)}
       408:{2,4,7}:{(388,1),(389,1),(390,1),(419,1)}
       409:{1,3,6,7}:{(391,1),(393,1),(396,1),(420,1)}
       410:{2,5,7}:{(392,1),(393,1),(395,1),(420,1)}
       411:{2,3,7}:{(394,1),(395,1),(397,1)}
       412:{1,4,6,7}:{(398,1),(400,1),(401,1),(421,1)}
       413:{3,4,5}:{(402,1),(422,1)}
       414:{3,5,6}:{(399,1),(422,1),(423,1)}
       415:{2,4,5,7}:{(399,1),(400,1),(404,1),(421,1),(423,1),(424,1)}
       416:{2,5,6,7}:{(401,1),(404,1),(420,1),(421,1)}
       417:{2,4,6}:{(402,1),(403,1),(406,1),(422,1),(424,1)}
       418:{2,3,5,7}:{(403,1),(404,1),(405,1),(407,1),(423,1),(424,1)}
       419:{1,4,7}:{(406,1),(407,1),(408,1),(424,1)}
       420:{2,6,7}:{(409,1),(410,1)}
       421:{2,4,6,7}:{(412,1),(415,1),(416,1),(425,1)}
       422:{3,4,6}:{(413,1),(414,1),(417,1),(426,1)}
       423:{3,5,7}:{(414,1),(415,1),(425,1),(426,1)}
       424:{2,4,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2438 :   0:{2,3,4,5,7}:{(2,1),(3,1),(19,1),(48,1),(49,1),(105,1),(182,1),(183,1),(253,1),(257,1),(264,1)}
         1:{2,4,5,6,7}:{(4,1),(5,1),(26,1),(27,1),(132,1),(207,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(9,1),(76,1),(144,1),(278,1),(280,1),(286,1)}
         3:{1,3,4,5,7}:{(0,1),(9,1),(10,1),(32,1),(35,1),(75,1),(140,1),(152,1),(153,1),(155,1),(156,1),(279,1)}
         4:{1,4,5,6,7}:{(1,1),(11,1),(12,1),(45,1),(46,1),(98,1),(173,1)}
         5:{3,5,6,7}:{(1,1),(13,1),(168,1),(242,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(181,1),(270,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(19,1),(20,1),(270,1),(272,1)}
         8:{2,3,4,6,7}:{(2,1),(19,1),(21,1),(27,1),(69,1),(105,1),(109,1),(182,1),(206,1),(209,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(22,1),(55,1),(116,1),(120,1),(296,1)}
        10:{2,4,5,7}:{(3,1),(22,1),(23,1),(59,1),(107,1),(121,1),(122,1),(178,1)}
        11:{2,4,5,6,7}:{(4,1),(24,1),(26,1),(67,1),(72,1),(138,1)}
        12:{1,3,5,6,7}:{(4,1),(5,1),(24,1),(25,1),(26,1),(210,1)}
        13:{3,4,6,7}:{(5,1),(17,1),(27,1)}
        14:{2,3,5,6,7}:{(5,1),(19,1),(26,1),(27,1),(28,1),(69,1)}
        15:{1,3,4,5,6}:{(6,1),(29,1),(30,1),(34,1),(40,1),(79,1),(87,1),(94,1),(151,1),(162,1),(246,1)}
        16:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(77,1),(82,1),(139,1),(146,1),(152,1),(153,1),(214,1),(221,1),(279,1),(304,1)}
        17:{3,4,5,7}:{(6,1),(13,1),(33,1),(219,1),(242,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(33,1),(34,1),(144,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(35,1),(242,1),(245,1)}
        20:{1,3,5,6}:{(7,1),(9,1),(34,1),(35,1),(36,1),(87,1),(291,1)}
        21:{1,3,4,6,7}:{(8,1),(9,1),(35,1),(37,1),(46,1),(84,1),(100,1),(103,1),(140,1),(152,1),(155,1),(244,1)}
        22:{2,4,6}:{(9,1),(10,1),(36,1),(38,1)}
        23:{2,3,5,7}:{(10,1),(32,1),(38,1),(39,1),(91,1),(142,1),(217,1)}
        24:{3,5,6,7}:{(11,1),(42,1),(103,1),(174,1)}
        25:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(42,1),(44,1),(46,1),(98,1),(100,1),(103,1),(168,1)}
        26:{2,5,6,7}:{(12,1),(44,1),(45,1),(245,1)}
        27:{2,4,6,7}:{(13,1),(14,1),(33,1),(46,1)}
        28:{1,3,5,6,7}:{(14,1),(35,1),(45,1),(46,1),(47,1),(100,1),(103,1)}
        29:{1,3,4,5,7}:{(15,1),(17,1),(25,1),(51,1),(57,1),(63,1),(111,1),(119,1),(126,1),(189,1),(198,1),(210,1)}
        30:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(112,1),(188,1),(272,1)}
        31:{1,2,4,6}:{(16,1),(22,1),(53,1),(55,1),(110,1),(116,1),(254,1),(296,1),(311,1)}
        32:{1,3,5,7}:{(16,1),(23,1),(49,1),(55,1),(56,1),(118,1),(177,1),(249,1),(253,1)}
        33:{2,4,5,7}:{(17,1),(18,1),(19,1),(27,1),(57,1),(182,1)}
        34:{1,4,5,6}:{(18,1),(20,1),(57,1),(58,1),(116,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(119,1),(271,1)}
        36:{2,5,6}:{(20,1),(22,1),(59,1)}
        37:{2,4,6,7}:{(21,1),(22,1),(59,1),(61,1),(121,1),(134,1),(178,1)}
        38:{2,3,6}:{(22,1),(23,1),(55,1)}
        39:{2,3,4,7}:{(23,1),(56,1),(62,1),(121,1),(180,1)}
        40:{3,4,5,6}:{(63,1),(64,1),(212,1),(297,1)}
        41:{2,3,4,5,7}:{(48,1),(65,1),(66,1),(105,1),(124,1),(193,1),(200,1),(257,1),(298,1),(299,1),(312,1)}
        42:{3,4,6,7}:{(24,1),(63,1),(67,1)}
        43:{2,3,5,6,7}:{(24,1),(26,1),(67,1),(68,1),(69,1),(124,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(51,1),(69,1),(70,1),(134,1)}
        45:{1,5,6,7}:{(26,1),(70,1),(271,1)}
        46:{1,4,6,7}:{(27,1),(28,1),(57,1),(72,1)}
        47:{2,5,6,7}:{(28,1),(59,1),(72,1),(134,1)}
        48:{2,3,4,5}:{(74,1),(75,1),(156,1),(213,1),(226,1),(235,1)}
        49:{2,3,5,7}:{(32,1),(76,1),(77,1),(146,1),(213,1),(273,1),(304,1)}
        50:{2,3,5,6}:{(30,1),(74,1),(78,1),(79,1),(87,1),(162,1)}
        51:{2,4,5,7}:{(29,1),(30,1),(44,1),(78,1),(80,1),(148,1),(225,1),(245,1)}
        52:{1,4,5,6}:{(30,1),(79,1),(80,1),(224,1),(291,1)}
        53:{1,2,5,6}:{(31,1),(36,1),(82,1),(83,1),(146,1),(222,1),(291,1)}
        54:{1,2,4,6,7}:{(31,1),(37,1),(82,1),(84,1),(145,1),(152,1),(170,1),(214,1),(244,1)}
        55:{1,3,6}:{(31,1),(32,1),(38,1),(76,1),(278,1)}
        56:{1,3,4,7}:{(32,1),(39,1),(77,1),(85,1),(152,1),(216,1),(219,1)}
        57:{1,4,5,7}:{(33,1),(34,1),(35,1),(46,1),(86,1),(152,1)}
        58:{2,4,5,6}:{(34,1),(36,1),(86,1),(87,1),(89,1)}
        59:{2,5,7}:{(35,1),(36,1),(37,1)}
        60:{2,3,5,6}:{(36,1),(38,1),(83,1),(87,1),(88,1),(89,1),(91,1)}
        61:{2,3,6,7}:{(37,1),(38,1),(84,1),(88,1),(103,1),(217,1)}
        62:{2,3,4,6}:{(38,1),(39,1),(85,1),(89,1),(91,1)}
        63:{3,4,5,7}:{(40,1),(42,1),(93,1),(174,1),(306,1)}
        64:{2,4,5,6}:{(40,1),(92,1),(93,1),(94,1),(282,1)}
        65:{2,3,4,6}:{(41,1),(92,1),(96,1),(229,1),(236,1),(280,1),(282,1),(314,1)}
        66:{1,3,4,5,7}:{(41,1),(75,1),(96,1),(97,1),(140,1),(159,1),(164,1),(234,1),(235,1),(279,1),(283,1),(284,1)}
        67:{2,4,6,7}:{(42,1),(43,1),(93,1),(98,1)}
        68:{1,3,5,6,7}:{(43,1),(45,1),(98,1),(99,1),(100,1),(159,1),(168,1)}
        69:{2,3,6,7}:{(44,1),(78,1),(100,1),(103,1),(168,1)}
        70:{1,4,6,7}:{(44,1),(45,1),(80,1),(100,1)}
        71:{1,2,5,6,7}:{(45,1),(47,1),(82,1),(99,1),(101,1),(102,1),(170,1),(222,1),(230,1),(245,1),(291,1),(310,1)}
        72:{2,4,6,7}:{(46,1),(47,1),(86,1),(103,1)}
        73:{2,3,5,6,7}:{(47,1),(88,1),(102,1),(103,1),(104,1),(158,1),(171,1),(174,1),(245,1),(281,1),(310,1),(314,1)}
        74:{2,3,4,6}:{(48,1),(50,1),(105,1),(106,1),(120,1),(188,1),(199,1),(247,1)}
        75:{1,3,4,5}:{(48,1),(106,1),(107,1),(177,1),(256,1)}
        76:{2,3,6}:{(49,1),(55,1),(110,1),(311,1)}
        77:{2,4,7}:{(49,1),(56,1),(110,1),(248,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(69,1),(105,1),(111,1),(119,1),(198,1)}
        79:{1,3,5,6}:{(50,1),(52,1),(106,1),(111,1),(112,1)}
        80:{1,4,5,7}:{(51,1),(52,1),(70,1),(111,1),(255,1),(271,1)}
        81:{1,2,4,5,6}:{(52,1),(53,1),(58,1),(112,1),(113,1),(114,1),(116,1),(127,1),(176,1),(183,1),(188,1),(195,1),(211,1),(254,1),(256,1),(261,1),(272,1),(293,1),(296,1),(299,1),(311,1),(313,1)}
        82:{1,2,5,7}:{(53,1),(54,1),(59,1),(115,1),(184,1),(271,1)}
        83:{1,3,5,6}:{(53,1),(55,1),(60,1),(108,1),(115,1),(116,1),(118,1)}
        84:{1,3,6,7}:{(54,1),(55,1),(61,1),(109,1),(115,1),(249,1)}
        85:{1,3,4,6}:{(55,1),(56,1),(62,1),(110,1),(116,1),(118,1),(181,1)}
        86:{2,4,5,7}:{(57,1),(58,1),(59,1),(72,1),(119,1),(121,1)}
        87:{3,5,6}:{(58,1),(119,1),(120,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(61,1),(115,1),(119,1),(121,1)}
        89:{2,4,6}:{(60,1),(116,1),(120,1),(121,1),(122,1)}
        90:{2,3,4,6,7}:{(61,1),(62,1),(117,1),(121,1),(123,1),(137,1),(194,1),(209,1),(251,1),(295,1)}
        91:{2,3,5}:{(62,1),(118,1),(122,1)}
        92:{2,3,5,6}:{(64,1),(65,1),(124,1),(125,1),(212,1),(272,1)}
        93:{2,4,5,7}:{(63,1),(64,1),(67,1),(124,1),(126,1),(298,1)}
        94:{1,4,5,6}:{(64,1),(125,1),(126,1),(127,1),(261,1)}
        95:{2,3,4,6,7}:{(65,1),(67,1),(69,1),(105,1),(124,1),(129,1),(137,1),(209,1),(265,1),(298,1)}
        96:{1,3,4,6}:{(65,1),(66,1),(125,1),(130,1),(199,1),(202,1),(261,1),(296,1)}
        97:{2,4,5,7}:{(66,1),(107,1),(130,1),(131,1),(178,1),(196,1),(262,1),(263,1)}
        98:{1,4,6,7}:{(67,1),(68,1),(126,1),(132,1)}
        99:{2,5,6,7}:{(68,1),(132,1),(134,1),(196,1)}
       100:{1,3,6,7}:{(69,1),(70,1),(111,1),(134,1)}
       101:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(113,1),(132,1),(134,1),(135,1),(136,1),(209,1),(254,1),(296,1),(311,1),(313,1)}
       102:{1,3,5,6,7}:{(71,1),(73,1),(115,1),(133,1),(135,1),(136,1),(192,1),(208,1),(210,1),(260,1),(271,1),(303,1)}
       103:{3,6,7}:{(72,1),(119,1)}
       104:{2,4,6,7}:{(73,1),(121,1),(136,1),(137,1),(138,1),(194,1),(298,1),(313,1)}
       105:{2,3,4,7}:{(74,1),(78,1),(140,1),(155,1),(225,1),(234,1),(273,1)}
       106:{1,3,4,6}:{(74,1),(75,1),(79,1),(140,1),(141,1),(215,1),(224,1)}
       107:{2,4,5}:{(75,1),(141,1),(142,1)}
       108:{2,3,5,6}:{(76,1),(83,1),(143,1),(144,1),(146,1),(220,1),(222,1),(278,1)}
       109:{2,3,6,7}:{(76,1),(84,1),(143,1),(145,1),(273,1),(278,1)}
       110:{2,4,6}:{(76,1),(77,1),(85,1),(146,1)}
       111:{1,3,5,7}:{(78,1),(79,1),(80,1),(100,1),(140,1),(148,1)}
       112:{2,5,6}:{(79,1),(141,1),(148,1)}
       113:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(86,1),(101,1),(148,1),(150,1),(152,1),(161,1),(173,1),(214,1),(221,1),(225,1),(230,1),(245,1),(279,1),(283,1),(304,1),(308,1)}
       114:{1,3,5,6}:{(81,1),(87,1),(149,1),(150,1),(151,1),(162,1),(215,1),(220,1),(276,1),(278,1),(305,1),(307,1),(314,1)}
       115:{1,3,5,7}:{(82,1),(83,1),(84,1),(88,1),(143,1),(152,1)}
       116:{1,4,6}:{(83,1),(89,1),(144,1),(152,1),(153,1)}
       117:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(145,1),(152,1),(154,1),(219,1),(228,1),(244,1),(275,1),(278,1),(305,1)}
       118:{1,3,5}:{(85,1),(91,1),(146,1),(153,1),(220,1)}
       119:{3,5,7}:{(86,1),(87,1),(103,1),(155,1)}
       120:{3,4,6}:{(87,1),(89,1),(155,1),(156,1)}
       121:{2,4,7}:{(88,1),(89,1),(152,1),(155,1)}
       122:{2,4,5}:{(89,1),(91,1),(153,1),(156,1)}
       123:{2,3,5,7}:{(90,1),(91,1),(154,1),(157,1),(158,1),(174,1),(245,1)}
       124:{2,3,5,7}:{(92,1),(93,1),(95,1),(159,1),(174,1),(245,1)}
       125:{1,3,5,6}:{(92,1),(94,1),(96,1),(159,1),(160,1),(162,1),(291,1)}
       126:{1,4,5,7}:{(93,1),(94,1),(98,1),(159,1),(161,1),(283,1)}
       127:{2,4,5,6}:{(94,1),(160,1),(161,1),(162,1),(233,1)}
       128:{1,2,4,5,7}:{(97,1),(139,1),(163,1),(164,1),(214,1),(230,1),(237,1),(279,1),(283,1),(284,1),(288,1),(304,1),(308,1)}
       129:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(100,1),(140,1),(159,1),(165,1),(168,1),(234,1),(238,1),(244,1),(283,1)}
       130:{2,4,6}:{(96,1),(97,1),(160,1),(166,1)}
       131:{2,3,5,7}:{(97,1),(142,1),(164,1),(166,1),(167,1),(217,1),(241,1)}
       132:{2,4,6,7}:{(98,1),(99,1),(161,1),(168,1)}
       133:{2,3,5,6,7}:{(99,1),(102,1),(143,1),(168,1),(169,1),(171,1),(222,1),(232,1),(242,1),(245,1),(278,1),(290,1)}
       134:{2,6,7}:{(100,1),(148,1)}
       135:{1,3,6,7}:{(101,1),(103,1),(150,1),(168,1),(171,1),(278,1),(305,1),(314,1)}
       136:{1,4,6,7}:{(102,1),(104,1),(152,1),(169,1),(173,1),(228,1),(283,1),(309,1)}
       137:{3,4,6,7}:{(103,1),(104,1),(155,1),(174,1),(229,1),(306,1),(314,1)}
       138:{2,4,5,7}:{(104,1),(173,1),(174,1),(175,1),(245,1)}
       139:{1,2,4,5}:{(107,1),(176,1),(177,1),(248,1),(256,1),(293,1)}
       140:{1,3,4,7}:{(105,1),(106,1),(111,1),(178,1),(249,1),(255,1)}
       141:{2,4,6}:{(106,1),(107,1),(112,1),(178,1),(179,1)}
       142:{2,3,5}:{(107,1),(177,1),(179,1),(180,1)}
       143:{2,3,5,7}:{(108,1),(109,1),(115,1),(182,1),(184,1),(253,1)}
       144:{2,4,6}:{(108,1),(116,1),(181,1),(182,1),(183,1)}
       145:{2,4,6,7}:{(109,1),(110,1),(117,1),(182,1),(184,1),(254,1),(292,1),(311,1)}
       146:{2,5}:{(110,1),(118,1)}
       147:{1,2,5,6}:{(112,1),(176,1),(185,1),(186,1),(293,1),(311,1)}
       148:{2,5,7}:{(111,1),(112,1),(134,1),(178,1)}
       149:{2,3,5,6}:{(112,1),(114,1),(179,1),(186,1),(187,1),(188,1),(247,1),(252,1),(272,1),(293,1),(295,1),(311,1)}
       150:{1,3,5,7}:{(113,1),(114,1),(119,1),(135,1),(187,1),(189,1),(198,1),(249,1),(253,1),(312,1)}
       151:{1,3,4,6}:{(114,1),(116,1),(120,1),(181,1),(188,1),(189,1),(190,1),(199,1),(261,1),(297,1)}
       152:{1,4,7}:{(115,1),(116,1),(121,1),(182,1)}
       153:{1,4,5}:{(116,1),(118,1),(122,1),(183,1)}
       154:{1,3,5,7}:{(117,1),(118,1),(123,1),(184,1),(191,1),(192,1),(253,1),(271,1)}
       155:{3,4,7}:{(119,1),(120,1),(121,1)}
       156:{3,4,5}:{(120,1),(122,1)}
       157:{2,4,5,7}:{(121,1),(122,1),(123,1),(191,1),(193,1),(194,1)}
       158:{2,3,5,6}:{(123,1),(192,1),(194,1),(212,1),(272,1),(295,1)}
       159:{1,3,5,7}:{(124,1),(125,1),(126,1),(129,1),(196,1),(198,1),(271,1)}
       160:{2,5,6}:{(125,1),(130,1),(196,1)}
       161:{2,4,5,7}:{(126,1),(127,1),(132,1),(196,1),(198,1),(262,1)}
       162:{3,5,6}:{(127,1),(198,1),(199,1)}
       163:{1,2,4,6}:{(128,1),(130,1),(195,1),(202,1),(261,1),(266,1),(296,1),(311,1),(313,1)}
       164:{1,3,5,7}:{(128,1),(131,1),(177,1),(200,1),(202,1),(203,1),(249,1),(268,1),(312,1)}
       165:{2,4,6,7}:{(129,1),(130,1),(134,1),(178,1),(196,1),(204,1),(262,1)}
       166:{2,3,6}:{(130,1),(131,1),(202,1)}
       167:{2,3,4,7}:{(131,1),(180,1),(203,1),(205,1),(262,1)}
       168:{3,6,7}:{(132,1),(198,1)}
       169:{2,4,6,7}:{(133,1),(136,1),(182,1),(206,1),(207,1),(254,1),(262,1),(301,1)}
       170:{1,2,6,7}:{(134,1),(185,1),(208,1),(311,1)}
       171:{2,3,6,7}:{(134,1),(135,1),(187,1),(208,1),(209,1),(295,1),(311,1)}
       172:{1,3,4,6,7}:{(135,1),(136,1),(137,1),(189,1),(206,1),(209,1),(210,1),(258,1)}
       173:{1,4,5,7}:{(136,1),(138,1),(207,1),(210,1),(211,1),(271,1)}
       174:{3,5,7}:{(137,1),(138,1),(212,1)}
       175:{2,4,5,6}:{(138,1),(194,1),(211,1),(212,1),(272,1),(313,1)}
       176:{1,2,4,6}:{(139,1),(141,1),(147,1),(214,1),(215,1),(224,1),(274,1)}
       177:{1,3,5}:{(139,1),(142,1),(213,1),(215,1),(216,1)}
       178:{2,4,7}:{(140,1),(141,1),(148,1),(217,1)}
       179:{2,3,6}:{(141,1),(142,1),(215,1),(217,1)}
       180:{2,3,4}:{(142,1),(216,1)}
       181:{3,4,6}:{(144,1),(219,1),(220,1),(278,1)}
       182:{2,4,7}:{(143,1),(144,1),(152,1),(219,1)}
       183:{2,4,5}:{(144,1),(146,1),(153,1),(220,1)}
       184:{2,5,7}:{(145,1),(146,1),(154,1),(222,1)}
       185:{1,2,5,7}:{(147,1),(148,1),(170,1),(214,1),(223,1),(304,1)}
       186:{1,3,5,6}:{(147,1),(149,1),(215,1),(223,1),(224,1),(276,1),(291,1),(305,1)}
       187:{2,3,5,7}:{(148,1),(149,1),(150,1),(171,1),(217,1),(223,1),(225,1),(245,1),(273,1),(304,1)}
       188:{2,4,6}:{(149,1),(151,1),(224,1),(225,1),(226,1)}
       189:{1,3,4,7}:{(150,1),(151,1),(152,1),(155,1),(219,1),(225,1),(234,1),(283,1),(306,1)}
       190:{1,3,4,5}:{(151,1),(153,1),(156,1),(220,1),(226,1),(235,1),(276,1),(284,1),(307,1)}
       191:{1,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(221,1),(228,1)}
       192:{1,3,5,6}:{(154,1),(158,1),(222,1),(228,1),(278,1),(291,1),(305,1)}
       193:{3,4,5,7}:{(155,1),(156,1),(157,1),(174,1),(229,1)}
       194:{2,4,6}:{(157,1),(158,1),(228,1),(229,1)}
       195:{1,2,5,6}:{(160,1),(163,1),(230,1),(231,1),(288,1),(291,1),(310,1)}
       196:{2,5,7}:{(159,1),(160,1),(165,1)}
       197:{2,3,5,6}:{(160,1),(162,1),(166,1),(231,1),(232,1),(233,1),(241,1)}
       198:{3,5,7}:{(161,1),(162,1),(168,1),(234,1)}
       199:{3,4,6}:{(162,1),(233,1),(234,1),(235,1)}
       200:{2,3,5,7}:{(164,1),(213,1),(236,1),(237,1),(273,1),(288,1),(304,1)}
       201:{1,2,4,6,7}:{(163,1),(165,1),(170,1),(214,1),(230,1),(238,1),(244,1),(283,1),(287,1)}
       202:{1,3,6}:{(163,1),(164,1),(166,1),(236,1),(314,1)}
       203:{1,3,4,7}:{(164,1),(167,1),(216,1),(237,1),(239,1),(283,1),(306,1)}
       204:{2,3,6,7}:{(165,1),(166,1),(168,1),(217,1),(232,1),(238,1)}
       205:{2,3,4,6}:{(166,1),(167,1),(233,1),(239,1),(241,1)}
       206:{3,4,6,7}:{(168,1),(169,1),(219,1),(234,1),(242,1),(278,1),(286,1)}
       207:{2,4,5,7}:{(169,1),(173,1),(242,1),(243,1),(245,1)}
       208:{1,3,6,7}:{(170,1),(171,1),(223,1),(244,1),(305,1)}
       209:{2,4,6,7}:{(171,1),(172,1),(225,1),(244,1),(245,1),(280,1)}
       210:{1,3,5,7}:{(172,1),(173,1),(174,1),(242,1),(245,1),(246,1)}
       211:{1,4,5,6}:{(173,1),(175,1),(228,1),(243,1),(246,1),(291,1),(309,1)}
       212:{3,5,6}:{(174,1),(175,1),(229,1),(314,1)}
       213:{2,3,5}:{(177,1),(247,1),(248,1),(293,1)}
       214:{1,2,4,7}:{(176,1),(178,1),(185,1),(249,1),(255,1),(292,1)}
       215:{1,3,6}:{(176,1),(177,1),(179,1),(247,1),(249,1)}
       216:{1,3,4}:{(177,1),(180,1),(248,1)}
       217:{2,3,7}:{(178,1),(179,1),(249,1)}
       218:{2,3,4,6}:{(179,1),(180,1),(181,1),(188,1),(250,1),(251,1),(252,1),(295,1),(297,1)}
       219:{3,4,7}:{(181,1),(182,1),(253,1)}
       220:{3,5}:{(181,1),(183,1)}
       221:{2,4,5,7}:{(182,1),(183,1),(184,1),(191,1),(253,1),(254,1)}
       222:{2,5,6}:{(184,1),(192,1),(254,1),(311,1)}
       223:{1,3,5,7}:{(185,1),(186,1),(187,1),(208,1),(249,1),(255,1),(271,1)}
       224:{1,4,6}:{(186,1),(188,1),(255,1),(256,1)}
       225:{2,4,7}:{(187,1),(188,1),(189,1),(255,1)}
       226:{2,4,5}:{(188,1),(190,1),(252,1),(256,1),(293,1)}
       227:{1,3,4,5,7}:{(189,1),(190,1),(191,1),(193,1),(210,1),(253,1),(257,1),(258,1),(264,1),(294,1),(300,1),(312,1)}
       228:{1,4,6}:{(191,1),(192,1),(194,1),(254,1)}
       229:{3,4,6}:{(193,1),(194,1),(212,1)}
       230:{1,2,5,7}:{(195,1),(196,1),(201,1),(260,1),(271,1),(302,1)}
       231:{1,3,5,6}:{(195,1),(197,1),(202,1),(259,1),(260,1),(261,1),(268,1)}
       232:{2,3,5,7}:{(196,1),(197,1),(198,1),(204,1),(260,1),(262,1)}
       233:{2,4,6}:{(197,1),(199,1),(261,1),(262,1),(263,1)}
       234:{3,4,7}:{(198,1),(199,1),(262,1)}
       235:{3,4,5}:{(199,1),(263,1)}
       236:{2,3,6}:{(200,1),(202,1),(266,1),(311,1)}
       237:{2,4,7}:{(200,1),(203,1),(248,1),(266,1)}
       238:{1,3,6,7}:{(201,1),(202,1),(204,1),(249,1),(260,1),(265,1)}
       239:{1,3,4,6}:{(202,1),(203,1),(205,1),(261,1),(266,1),(268,1),(297,1)}
       240:{2,3,4,6,7}:{(204,1),(205,1),(206,1),(209,1),(251,1),(262,1),(267,1),(269,1),(295,1),(301,1)}
       241:{2,3,5}:{(205,1),(263,1),(268,1)}
       242:{3,5,7}:{(206,1),(207,1),(270,1)}
       243:{2,4,5,6}:{(207,1),(211,1),(254,1),(270,1),(272,1),(301,1)}
       244:{1,4,6,7}:{(208,1),(209,1),(255,1),(271,1),(296,1)}
       245:{2,5,7}:{(209,1),(210,1),(271,1),(272,1)}
       246:{1,3,5,6}:{(210,1),(211,1),(212,1),(258,1),(270,1),(272,1)}
       247:{2,3,6}:{(213,1),(215,1),(273,1),(274,1)}
       248:{2,4}:{(213,1),(216,1)}
       249:{1,3,7}:{(214,1),(215,1),(217,1),(273,1)}
       250:{1,3,4,6}:{(215,1),(216,1),(218,1),(224,1),(274,1),(275,1),(276,1),(305,1)}
       251:{2,3,4,7}:{(217,1),(218,1),(219,1),(225,1),(275,1),(277,1),(306,1)}
       252:{2,3,5}:{(218,1),(220,1),(226,1),(276,1),(307,1)}
       253:{3,5,7}:{(219,1),(220,1),(221,1),(278,1)}
       254:{2,4,6}:{(221,1),(222,1),(228,1),(278,1)}
       255:{1,4,7}:{(223,1),(224,1),(225,1)}
       256:{1,4,5}:{(224,1),(226,1),(276,1)}
       257:{2,4,5,7}:{(225,1),(226,1),(227,1),(245,1),(277,1),(279,1),(280,1),(304,1)}
       258:{1,3,4,6}:{(227,1),(228,1),(229,1),(246,1),(278,1),(280,1),(286,1),(305,1),(309,1),(314,1)}
       259:{2,3,5,6}:{(231,1),(236,1),(281,1),(282,1),(288,1),(307,1),(310,1),(314,1)}
       260:{1,3,5,7}:{(230,1),(231,1),(232,1),(238,1),(281,1),(283,1)}
       261:{1,4,6}:{(231,1),(233,1),(282,1),(283,1),(284,1)}
       262:{2,4,7}:{(232,1),(233,1),(234,1),(283,1)}
       263:{2,4,5}:{(233,1),(235,1),(241,1),(284,1)}
       264:{3,4,5,7}:{(234,1),(235,1),(242,1),(285,1),(286,1)}
       265:{2,3,6,7}:{(236,1),(238,1),(273,1),(281,1),(287,1),(314,1)}
       266:{2,4,6}:{(236,1),(237,1),(239,1),(288,1)}
       267:{1,3,4,6,7}:{(238,1),(239,1),(240,1),(244,1),(275,1),(283,1),(287,1),(289,1),(305,1),(306,1),(309,1),(314,1)}
       268:{1,3,5}:{(239,1),(241,1),(284,1),(288,1),(307,1)}
       269:{2,3,5,7}:{(240,1),(241,1),(242,1),(245,1),(285,1),(289,1),(290,1)}
       270:{3,5,6}:{(242,1),(243,1),(278,1),(286,1)}
       271:{1,5,7}:{(244,1),(245,1),(291,1)}
       272:{2,5,6}:{(245,1),(246,1),(280,1),(291,1)}
       273:{2,3,7}:{(247,1),(249,1),(292,1)}
       274:{2,4,6}:{(247,1),(248,1),(250,1),(292,1),(293,1),(311,1)}
       275:{1,3,4,7}:{(249,1),(250,1),(251,1),(255,1),(292,1),(294,1)}
       276:{1,3,5}:{(250,1),(252,1),(256,1),(293,1)}
       277:{2,3,5,7}:{(251,1),(252,1),(253,1),(257,1),(294,1),(295,1),(312,1)}
       278:{3,6}:{(253,1),(254,1)}
       279:{1,4,5,7}:{(255,1),(256,1),(257,1),(271,1),(294,1),(296,1)}
       280:{2,4,6}:{(257,1),(258,1),(272,1),(295,1),(296,1),(311,1)}
       281:{2,3,5,7}:{(259,1),(260,1),(265,1),(298,1),(302,1),(312,1)}
       282:{2,4,6}:{(259,1),(261,1),(297,1),(298,1),(299,1)}
       283:{1,4,7}:{(260,1),(261,1),(262,1),(298,1)}
       284:{1,4,5}:{(261,1),(263,1),(268,1),(299,1)}
       285:{2,4,5,7}:{(262,1),(263,1),(264,1),(269,1),(300,1),(301,1)}
       286:{3,4,6}:{(264,1),(270,1),(301,1)}
       287:{2,4,6,7}:{(265,1),(266,1),(267,1),(292,1),(298,1),(302,1),(311,1),(313,1)}
       288:{2,5}:{(266,1),(268,1)}
       289:{1,3,5,7}:{(267,1),(268,1),(269,1),(271,1),(300,1),(302,1),(303,1),(312,1)}
       290:{2,3,5,6}:{(269,1),(270,1),(272,1),(295,1),(301,1),(303,1)}
       291:{1,5,6}:{(271,1),(272,1),(296,1)}
       292:{2,4,7}:{(273,1),(274,1),(275,1),(304,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(279,1),(304,1),(305,1)}
       295:{2,3,6}:{(277,1),(278,1),(280,1),(305,1),(314,1)}
       296:{1,4,6}:{(279,1),(280,1),(291,1),(305,1)}
       297:{3,4,6}:{(282,1),(306,1),(307,1),(314,1)}
       298:{2,4,7}:{(281,1),(282,1),(283,1),(306,1)}
       299:{2,4,5}:{(282,1),(284,1),(288,1),(307,1)}
       300:{1,4,5,7}:{(283,1),(284,1),(285,1),(289,1),(308,1),(309,1)}
       301:{2,4,6}:{(285,1),(286,1),(290,1),(309,1)}
       302:{2,5,7}:{(287,1),(288,1),(289,1),(310,1)}
       303:{1,3,5,6}:{(289,1),(290,1),(291,1),(305,1),(309,1),(310,1),(314,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,6}:{(294,1),(295,1),(296,1),(311,1)}
       306:{3,4,7}:{(297,1),(298,1),(312,1)}
       307:{3,5}:{(297,1),(299,1)}
       308:{2,4,5,7}:{(298,1),(299,1),(300,1),(302,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(303,1),(313,1)}
       310:{2,5,6}:{(302,1),(303,1),(311,1),(313,1)}
       311:{2,6}:{(304,1),(305,1)}
       312:{3,5,7}:{(306,1),(307,1),(308,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(310,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2439 :   0:{2,4,5,6,7}:{(2,1),(3,1),(20,1),(26,1),(158,1),(270,1)}
         1:{1,2,3,6,7}:{(5,1),(6,1),(37,1),(44,1),(96,1),(124,1),(232,1),(234,1),(249,1),(314,1)}
         2:{1,4,5,6,7}:{(0,1),(4,1),(7,1),(43,1),(53,1),(105,1),(237,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(215,1),(317,1)}
         4:{2,4,5,6,7}:{(2,1),(13,1),(20,1),(62,1),(93,1),(199,1)}
         5:{1,2,3,5,7}:{(1,1),(14,1),(16,1),(19,1),(75,1),(279,1),(281,1),(293,1),(348,1),(361,1)}
         6:{1,2,4,6,7}:{(1,1),(16,1),(18,1),(19,1),(72,1),(76,1),(81,1),(146,1),(175,1),(287,1)}
         7:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(17,1),(20,1),(288,1)}
         8:{3,4,5,6}:{(21,1),(22,1),(268,1),(370,1)}
         9:{2,3,4,5,7}:{(24,1),(25,1),(65,1),(84,1),(157,1),(165,1),(176,1),(191,1),(290,1),(372,1)}
        10:{3,4,6,7}:{(3,1),(22,1),(26,1)}
        11:{2,3,4,6,7}:{(18,1),(27,1),(73,1),(82,1),(94,1),(177,1),(196,1),(198,1),(254,1),(287,1),(295,1),(353,1),(403,1)}
        12:{2,3,5,6,7}:{(3,1),(20,1),(26,1),(28,1),(74,1),(84,1)}
        13:{3,5,6,7}:{(4,1),(31,1),(143,1),(252,1)}
        14:{1,2,3,5,6}:{(5,1),(34,1),(42,1),(44,1),(96,1),(109,1),(116,1),(124,1),(129,1),(201,1),(224,1),(226,1),(240,1),(305,1),(321,1)}
        15:{1,3,4,5,6}:{(8,1),(29,1),(35,1),(36,1),(46,1),(98,1),(114,1),(134,1),(206,1),(228,1),(235,1)}
        16:{1,2,4,7}:{(5,1),(34,1),(38,1),(328,1),(338,1),(381,1)}
        17:{1,3,4,6,7}:{(7,1),(10,1),(31,1),(36,1),(40,1),(53,1),(105,1),(122,1),(143,1),(215,1)}
        18:{1,3,4,6,7}:{(6,1),(11,1),(32,1),(38,1),(41,1),(119,1),(124,1),(126,1),(128,1),(200,1),(231,1),(249,1),(314,1),(331,1),(338,1),(381,1)}
        19:{1,2,5,7}:{(6,1),(41,1),(42,1),(129,1),(201,1),(332,1)}
        20:{2,5,6,7}:{(7,1),(40,1),(43,1),(332,1)}
        21:{2,4,5,6}:{(8,1),(45,1),(46,1),(47,1),(335,1)}
        22:{3,4,5,7}:{(8,1),(10,1),(47,1),(317,1),(397,1)}
        23:{1,2,3,5,7}:{(37,1),(44,1),(48,1),(109,1),(120,1),(129,1),(137,1)}
        24:{1,3,4,5,7}:{(9,1),(50,1),(51,1),(110,1),(132,1),(133,1),(137,1),(222,1),(230,1),(239,1),(245,1),(338,1)}
        25:{2,3,4,6}:{(9,1),(45,1),(51,1),(214,1),(233,1),(247,1),(335,1)}
        26:{2,4,6,7}:{(10,1),(12,1),(47,1),(53,1)}
        27:{2,3,5,7}:{(11,1),(41,1),(54,1),(55,1),(130,1),(252,1),(303,1),(332,1)}
        28:{1,3,5,6,7}:{(12,1),(43,1),(53,1),(56,1),(122,1),(132,1),(143,1)}
        29:{3,4,5,6}:{(57,1),(58,1),(197,1),(401,1)}
        30:{2,3,4,5,7}:{(60,1),(61,1),(65,1),(92,1),(149,1),(165,1),(176,1),(262,1),(345,1),(403,1)}
        31:{3,4,6,7}:{(13,1),(58,1),(62,1)}
        32:{2,3,4,6,7}:{(18,1),(63,1),(73,1),(147,1),(159,1),(177,1),(183,1),(267,1),(269,1),(287,1),(298,1),(350,1),(372,1)}
        33:{2,3,5,6,7}:{(13,1),(20,1),(62,1),(64,1),(74,1),(149,1)}
        34:{1,2,4,6}:{(14,1),(16,1),(68,1),(69,1),(161,1),(280,1),(292,1),(347,1)}
        35:{2,4,5,6}:{(15,1),(67,1),(70,1),(71,1),(169,1),(280,1),(286,1)}
        36:{1,3,4,5,7}:{(15,1),(17,1),(22,1),(58,1),(71,1),(86,1),(151,1),(170,1),(190,1),(261,1),(283,1),(288,1)}
        37:{1,2,3,7}:{(66,1),(72,1),(361,1)}
        38:{1,3,4,7}:{(16,1),(68,1),(73,1),(75,1),(361,1)}
        39:{1,2,4,5,7}:{(16,1),(19,1),(69,1),(75,1),(76,1),(78,1),(176,1)}
        40:{2,4,6,7}:{(17,1),(20,1),(71,1),(74,1),(77,1),(178,1)}
        41:{1,3,5,7}:{(18,1),(19,1),(27,1),(63,1),(78,1),(79,1),(184,1),(255,1),(368,1)}
        42:{1,2,5,6}:{(19,1),(76,1),(79,1),(175,1),(286,1)}
        43:{1,5,6,7}:{(20,1),(77,1),(368,1)}
        44:{1,2,3,6}:{(23,1),(81,1),(175,1),(193,1)}
        45:{2,3,5,6}:{(21,1),(25,1),(83,1),(84,1),(268,1),(286,1)}
        46:{1,4,5,6}:{(21,1),(83,1),(85,1),(86,1),(292,1)}
        47:{2,4,5,7}:{(21,1),(22,1),(26,1),(84,1),(86,1),(372,1)}
        48:{1,2,4,7}:{(23,1),(81,1),(87,1),(161,1)}
        49:{2,3,4,7}:{(82,1),(87,1),(89,1),(162,1),(295,1)}
        50:{2,4,5,7}:{(24,1),(89,1),(90,1),(163,1),(186,1),(188,1),(276,1),(295,1)}
        51:{1,3,4,6}:{(24,1),(25,1),(83,1),(90,1),(189,1),(193,1),(284,1),(292,1)}
        52:{2,3,4,6,7}:{(25,1),(26,1),(74,1),(84,1),(91,1),(165,1),(269,1),(287,1),(298,1),(372,1)}
        53:{1,4,6,7}:{(26,1),(28,1),(86,1),(93,1)}
        54:{2,4,5,7}:{(27,1),(78,1),(92,1),(94,1),(186,1),(295,1),(345,1),(403,1)}
        55:{2,3,5,6}:{(27,1),(79,1),(94,1),(177,1),(197,1),(286,1)}
        56:{2,5,6,7}:{(28,1),(93,1),(178,1),(188,1)}
        57:{2,4,5,6}:{(29,1),(97,1),(98,1),(99,1),(378,1)}
        58:{3,4,5,7}:{(29,1),(31,1),(99,1),(252,1),(416,1)}
        59:{1,2,3,5,7}:{(37,1),(96,1),(100,1),(109,1),(120,1),(201,1),(209,1)}
        60:{1,3,4,5,7}:{(30,1),(102,1),(103,1),(110,1),(204,1),(205,1),(209,1),(222,1),(230,1),(304,1),(310,1),(381,1)}
        61:{2,3,4,6}:{(30,1),(97,1),(103,1),(142,1),(233,1),(312,1),(378,1)}
        62:{2,4,6,7}:{(31,1),(33,1),(99,1),(105,1)}
        63:{2,3,5,7}:{(32,1),(41,1),(106,1),(107,1),(202,1),(238,1),(317,1),(332,1)}
        64:{1,3,5,6,7}:{(33,1),(43,1),(105,1),(108,1),(122,1),(204,1),(215,1)}
        65:{2,3,4,5}:{(110,1),(111,1),(133,1),(205,1),(225,1),(319,1)}
        66:{1,2,3,6}:{(37,1),(109,1),(112,1),(321,1)}
        67:{2,3,5,6}:{(35,1),(111,1),(114,1),(115,1),(134,1),(206,1)}
        68:{1,3,4,6}:{(34,1),(38,1),(113,1),(116,1),(124,1),(218,1),(321,1)}
        69:{1,2,4,5}:{(34,1),(116,1),(129,1),(201,1),(225,1),(239,1),(304,1)}
        70:{1,4,5,6}:{(35,1),(114,1),(118,1),(325,1),(330,1)}
        71:{2,4,5,7}:{(35,1),(36,1),(40,1),(115,1),(118,1),(227,1),(328,1),(332,1)}
        72:{1,2,4,7}:{(37,1),(112,1),(119,1),(120,1)}
        73:{2,3,4,7}:{(38,1),(113,1),(119,1),(121,1),(324,1),(328,1),(389,1)}
        74:{2,3,6,7}:{(40,1),(115,1),(122,1),(143,1),(215,1)}
        75:{1,3,5,7}:{(38,1),(39,1),(116,1),(121,1),(124,1)}
        76:{1,2,4,6}:{(39,1),(42,1),(124,1),(126,1),(233,1)}
        77:{1,4,6,7}:{(40,1),(43,1),(118,1),(122,1)}
        78:{1,4,5,7}:{(41,1),(54,1),(106,1),(126,1),(239,1),(304,1),(338,1),(381,1)}
        79:{1,3,5,6}:{(41,1),(42,1),(55,1),(107,1),(124,1),(126,1),(231,1),(330,1)}
        80:{1,2,5,6,7}:{(42,1),(43,1),(56,1),(108,1),(125,1),(127,1),(232,1),(241,1),(306,1),(332,1),(395,1),(400,1),(419,1)}
        81:{1,2,4,6}:{(44,1),(48,1),(128,1),(129,1)}
        82:{2,3,4,6}:{(49,1),(128,1),(130,1),(140,1),(242,1)}
        83:{1,3,5,6}:{(45,1),(46,1),(51,1),(131,1),(132,1),(134,1),(330,1)}
        84:{2,3,5,7}:{(45,1),(47,1),(52,1),(132,1),(317,1),(332,1)}
        85:{2,4,5,6}:{(46,1),(131,1),(134,1),(135,1),(242,1)}
        86:{1,4,5,7}:{(46,1),(47,1),(53,1),(132,1),(135,1),(338,1)}
        87:{1,3,4,7}:{(48,1),(49,1),(128,1),(136,1),(137,1),(218,1),(338,1)}
        88:{1,2,4,5,7}:{(48,1),(50,1),(120,1),(129,1),(137,1),(138,1),(219,1),(230,1),(239,1),(241,1),(246,1),(322,1),(338,1)}
        89:{2,3,5,7}:{(49,1),(50,1),(130,1),(137,1),(140,1),(220,1),(324,1)}
        90:{2,4,6}:{(50,1),(51,1),(131,1),(140,1)}
        91:{1,3,4,6,7}:{(51,1),(52,1),(53,1),(122,1),(132,1),(141,1),(143,1),(222,1),(245,1),(249,1),(331,1),(338,1)}
        92:{3,4,5,7}:{(54,1),(133,1),(142,1),(245,1),(252,1),(377,1),(416,1)}
        93:{2,4,6,7}:{(53,1),(56,1),(135,1),(143,1)}
        94:{2,4,6}:{(54,1),(55,1),(126,1),(142,1)}
        95:{2,3,5,6,7}:{(55,1),(56,1),(127,1),(143,1),(145,1),(234,1),(243,1),(252,1),(332,1),(379,1),(419,1),(426,1)}
        96:{1,2,3,6}:{(59,1),(146,1),(175,1),(264,1)}
        97:{2,3,5,6}:{(57,1),(61,1),(148,1),(149,1),(197,1),(286,1)}
        98:{1,4,5,6}:{(57,1),(148,1),(150,1),(151,1),(347,1)}
        99:{2,4,5,7}:{(57,1),(58,1),(62,1),(149,1),(151,1),(403,1)}
       100:{1,2,4,7}:{(59,1),(146,1),(152,1),(161,1)}
       101:{2,3,4,7}:{(147,1),(152,1),(154,1),(162,1),(350,1)}
       102:{2,4,5,7}:{(60,1),(154,1),(155,1),(163,1),(257,1),(259,1),(276,1),(350,1)}
       103:{1,3,4,6}:{(60,1),(61,1),(148,1),(155,1),(260,1),(264,1),(284,1),(347,1)}
       104:{2,3,4,6,7}:{(61,1),(62,1),(74,1),(149,1),(156,1),(165,1),(198,1),(287,1),(353,1),(403,1)}
       105:{1,4,6,7}:{(62,1),(64,1),(151,1),(158,1)}
       106:{2,4,5,7}:{(63,1),(78,1),(157,1),(159,1),(257,1),(290,1),(350,1),(372,1)}
       107:{2,3,5,6}:{(63,1),(79,1),(159,1),(177,1),(268,1),(286,1)}
       108:{2,5,6,7}:{(64,1),(158,1),(178,1),(259,1)}
       109:{1,2,3,5}:{(66,1),(161,1),(167,1),(272,1)}
       110:{1,3,4,5}:{(65,1),(163,1),(164,1),(272,1),(277,1)}
       111:{2,3,4,6}:{(65,1),(67,1),(164,1),(165,1),(189,1),(260,1),(280,1),(359,1)}
       112:{1,2,4,6}:{(66,1),(72,1),(161,1),(166,1),(167,1),(175,1)}
       113:{2,3,4,6}:{(68,1),(73,1),(162,1),(166,1),(168,1),(177,1),(271,1),(275,1),(280,1),(359,1)}
       114:{1,3,5,6}:{(67,1),(70,1),(164,1),(169,1),(170,1)}
       115:{2,3,5,7}:{(67,1),(71,1),(74,1),(165,1),(170,1),(190,1),(261,1)}
       116:{1,3,5}:{(68,1),(69,1),(168,1)}
       117:{1,2,4,5,6}:{(69,1),(70,1),(76,1),(85,1),(150,1),(169,1),(172,1),(173,1),(181,1),(185,1),(256,1),(273,1),(280,1),(286,1),(292,1),(347,1),(364,1),(371,1),(402,1),(408,1)}
       118:{1,4,5,7}:{(70,1),(71,1),(77,1),(170,1),(365,1),(368,1)}
       119:{1,3,4,7}:{(72,1),(73,1),(166,1),(174,1),(361,1),(365,1)}
       120:{1,2,5,7}:{(72,1),(167,1),(174,1),(175,1)}
       121:{2,3,5,7}:{(73,1),(75,1),(168,1),(174,1),(176,1),(177,1)}
       122:{1,3,6,7}:{(74,1),(77,1),(170,1),(178,1)}
       123:{1,3,4,5,7}:{(75,1),(78,1),(92,1),(157,1),(171,1),(176,1),(179,1),(283,1),(288,1)}
       124:{1,3,6}:{(75,1),(76,1),(177,1)}
       125:{1,2,4,6,7}:{(76,1),(77,1),(80,1),(93,1),(158,1),(173,1),(178,1),(180,1),(182,1),(287,1),(412,1),(414,1),(424,1),(425,1)}
       126:{1,4,6}:{(78,1),(79,1),(94,1),(159,1)}
       127:{1,3,5,6,7}:{(79,1),(80,1),(95,1),(160,1),(180,1),(182,1),(285,1),(288,1),(293,1),(348,1),(368,1)}
       128:{1,3,4,6}:{(81,1),(82,1),(87,1),(183,1),(184,1),(193,1),(292,1)}
       129:{1,2,5}:{(81,1),(184,1)}
       130:{2,3,5}:{(82,1),(184,1),(186,1)}
       131:{2,5,6}:{(83,1),(90,1),(188,1)}
       132:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(188,1),(190,1),(368,1)}
       133:{3,4,5}:{(186,1),(189,1)}
       134:{3,5,6}:{(85,1),(189,1),(190,1)}
       135:{2,4,5,7}:{(85,1),(86,1),(93,1),(188,1),(190,1),(295,1)}
       136:{2,3,4,7}:{(87,1),(183,1),(191,1),(271,1),(372,1)}
       137:{1,3,5,7}:{(87,1),(88,1),(89,1),(184,1),(191,1),(193,1),(272,1),(361,1)}
       138:{1,2,4,6}:{(88,1),(90,1),(175,1),(185,1),(193,1),(284,1),(292,1),(297,1)}
       139:{2,3,4,5,7}:{(89,1),(92,1),(176,1),(186,1),(192,1),(195,1),(274,1),(295,1),(301,1),(363,1)}
       140:{2,3,6}:{(89,1),(90,1),(193,1)}
       141:{2,4,6,7}:{(90,1),(91,1),(178,1),(188,1),(196,1),(276,1),(295,1)}
       142:{3,4,6}:{(92,1),(94,1),(197,1)}
       143:{3,6,7}:{(93,1),(190,1)}
       144:{2,4,5,6}:{(94,1),(181,1),(197,1),(199,1),(286,1)}
       145:{2,4,6,7}:{(94,1),(95,1),(182,1),(198,1),(199,1),(295,1),(403,1)}
       146:{1,2,4,6}:{(96,1),(100,1),(200,1),(201,1)}
       147:{2,3,4,6}:{(101,1),(200,1),(202,1),(212,1),(307,1)}
       148:{1,3,5,6}:{(97,1),(98,1),(103,1),(203,1),(204,1),(206,1),(330,1)}
       149:{2,3,5,7}:{(97,1),(99,1),(104,1),(204,1),(252,1),(332,1)}
       150:{2,4,5,6}:{(98,1),(203,1),(206,1),(207,1),(307,1)}
       151:{1,4,5,7}:{(98,1),(99,1),(105,1),(204,1),(207,1),(381,1)}
       152:{1,3,4,7}:{(100,1),(101,1),(200,1),(208,1),(209,1),(218,1),(381,1)}
       153:{1,2,4,5,7}:{(100,1),(102,1),(120,1),(201,1),(209,1),(210,1),(219,1),(230,1),(304,1),(306,1),(311,1),(322,1),(381,1)}
       154:{2,3,5,7}:{(101,1),(102,1),(202,1),(209,1),(212,1),(220,1),(324,1)}
       155:{2,4,6}:{(102,1),(103,1),(203,1),(212,1)}
       156:{1,3,4,6,7}:{(103,1),(104,1),(105,1),(122,1),(204,1),(213,1),(215,1),(222,1),(310,1),(314,1),(331,1),(381,1)}
       157:{3,4,5,7}:{(106,1),(205,1),(214,1),(310,1),(317,1),(334,1),(397,1)}
       158:{2,4,6,7}:{(105,1),(108,1),(207,1),(215,1)}
       159:{2,4,6}:{(106,1),(107,1),(126,1),(214,1)}
       160:{2,3,5,6,7}:{(107,1),(108,1),(127,1),(215,1),(217,1),(234,1),(308,1),(317,1),(332,1),(336,1),(400,1),(422,1)}
       161:{1,2,4}:{(109,1),(218,1)}
       162:{2,3,4}:{(218,1),(220,1)}
       163:{2,4,5}:{(110,1),(220,1),(221,1)}
       164:{1,3,4,6}:{(110,1),(111,1),(114,1),(221,1),(222,1),(321,1),(325,1)}
       165:{2,3,4,7}:{(111,1),(115,1),(222,1),(245,1),(310,1),(328,1),(389,1)}
       166:{1,3,4,6}:{(112,1),(113,1),(119,1),(218,1),(223,1),(231,1),(321,1),(325,1)}
       167:{1,2,5}:{(112,1),(223,1)}
       168:{2,3,5}:{(113,1),(116,1),(223,1),(225,1)}
       169:{2,5,6}:{(114,1),(221,1),(227,1)}
       170:{1,3,5,7}:{(114,1),(115,1),(118,1),(122,1),(222,1),(227,1)}
       171:{1,3,4,5}:{(116,1),(133,1),(205,1),(225,1),(228,1),(239,1),(304,1),(334,1),(377,1)}
       172:{1,3,5,6}:{(116,1),(117,1),(124,1),(134,1),(206,1),(226,1),(228,1),(229,1),(321,1),(396,1),(415,1)}
       173:{1,2,4,5,7}:{(117,1),(118,1),(125,1),(135,1),(207,1),(227,1),(229,1),(237,1),(241,1),(306,1),(322,1),(328,1),(332,1),(338,1),(381,1),(393,1),(398,1),(417,1),(420,1)}
       174:{1,3,5,7}:{(119,1),(120,1),(121,1),(223,1),(230,1),(231,1)}
       175:{1,2,6}:{(120,1),(231,1)}
       176:{2,4,5,7}:{(121,1),(123,1),(225,1),(230,1),(233,1),(328,1),(332,1)}
       177:{2,3,6}:{(121,1),(124,1),(231,1),(233,1)}
       178:{2,6,7}:{(122,1),(227,1)}
       179:{1,3,4,6}:{(123,1),(124,1),(126,1),(142,1),(214,1),(233,1),(235,1)}
       180:{1,3,6,7}:{(124,1),(125,1),(143,1),(215,1),(229,1),(234,1),(422,1),(426,1)}
       181:{1,4,5,6}:{(126,1),(144,1),(216,1),(235,1),(237,1),(330,1)}
       182:{1,4,6,7}:{(126,1),(127,1),(145,1),(217,1),(237,1),(338,1),(381,1)}
       183:{2,3,4,6}:{(128,1),(136,1),(238,1),(247,1),(335,1)}
       184:{1,3,5}:{(128,1),(129,1),(130,1),(238,1),(239,1)}
       185:{1,2,5,6}:{(129,1),(131,1),(138,1),(240,1),(241,1),(330,1),(341,1)}
       186:{2,4,5}:{(130,1),(133,1),(239,1),(242,1)}
       187:{2,3,5,6}:{(130,1),(131,1),(134,1),(140,1),(240,1),(242,1),(243,1)}
       188:{2,5,7}:{(131,1),(132,1),(141,1)}
       189:{3,4,6}:{(133,1),(134,1),(242,1),(245,1)}
       190:{3,5,7}:{(134,1),(135,1),(143,1),(245,1)}
       191:{2,3,5,7}:{(136,1),(137,1),(238,1),(246,1),(247,1),(319,1),(389,1)}
       192:{1,3,4,5,7}:{(137,1),(139,1),(230,1),(239,1),(246,1),(248,1),(320,1),(334,1),(338,1),(343,1),(391,1),(397,1)}
       193:{1,3,6}:{(137,1),(138,1),(140,1),(247,1)}
       194:{1,2,4,6,7}:{(138,1),(141,1),(232,1),(241,1),(249,1),(322,1),(331,1),(338,1),(342,1)}
       195:{2,3,4,6}:{(139,1),(140,1),(142,1),(233,1),(242,1),(248,1),(250,1)}
       196:{2,3,6,7}:{(140,1),(141,1),(143,1),(243,1),(249,1),(324,1)}
       197:{3,5,6}:{(142,1),(144,1),(252,1)}
       198:{3,4,6,7}:{(142,1),(143,1),(145,1),(245,1),(252,1),(416,1),(426,1)}
       199:{2,4,5,7}:{(144,1),(145,1),(237,1),(252,1),(332,1)}
       200:{1,3,4,6}:{(146,1),(147,1),(152,1),(254,1),(255,1),(264,1),(347,1)}
       201:{1,2,5}:{(146,1),(255,1)}
       202:{2,3,5}:{(147,1),(255,1),(257,1)}
       203:{2,5,6}:{(148,1),(155,1),(259,1)}
       204:{1,3,5,7}:{(148,1),(149,1),(151,1),(156,1),(259,1),(261,1),(368,1)}
       205:{3,4,5}:{(257,1),(260,1)}
       206:{3,5,6}:{(150,1),(260,1),(261,1)}
       207:{2,4,5,7}:{(150,1),(151,1),(158,1),(259,1),(261,1),(350,1)}
       208:{2,3,4,7}:{(152,1),(254,1),(262,1),(271,1),(403,1)}
       209:{1,3,5,7}:{(152,1),(153,1),(154,1),(255,1),(262,1),(264,1),(272,1),(361,1)}
       210:{1,2,4,6}:{(153,1),(155,1),(175,1),(256,1),(264,1),(284,1),(347,1),(352,1)}
       211:{2,3,4,5,7}:{(154,1),(157,1),(176,1),(257,1),(263,1),(266,1),(274,1),(350,1),(356,1),(363,1)}
       212:{2,3,6}:{(154,1),(155,1),(264,1)}
       213:{2,4,6,7}:{(155,1),(156,1),(178,1),(259,1),(267,1),(276,1),(350,1)}
       214:{3,4,6}:{(157,1),(159,1),(268,1)}
       215:{3,6,7}:{(158,1),(261,1)}
       216:{2,4,5,6}:{(159,1),(181,1),(268,1),(270,1),(286,1)}
       217:{2,4,6,7}:{(159,1),(160,1),(182,1),(269,1),(270,1),(350,1),(372,1)}
       218:{1,3,4}:{(161,1),(162,1),(271,1),(272,1)}
       219:{1,2,4,5}:{(161,1),(163,1),(167,1),(272,1),(273,1),(277,1),(358,1)}
       220:{2,3,5}:{(162,1),(163,1),(272,1),(275,1)}
       221:{2,4,6}:{(163,1),(164,1),(169,1),(275,1),(276,1)}
       222:{1,3,4,7}:{(164,1),(165,1),(170,1),(276,1),(361,1),(365,1)}
       223:{1,3,5}:{(166,1),(167,1),(168,1),(277,1)}
       224:{1,2,5,6}:{(167,1),(169,1),(175,1),(273,1),(278,1),(279,1),(408,1)}
       225:{2,4,5}:{(168,1),(171,1),(277,1),(280,1)}
       226:{2,3,5,6}:{(168,1),(169,1),(172,1),(177,1),(275,1),(278,1),(280,1),(281,1),(286,1),(359,1),(408,1)}
       227:{2,5,7}:{(169,1),(170,1),(178,1),(276,1)}
       228:{1,3,4,6}:{(171,1),(172,1),(189,1),(260,1),(280,1),(283,1),(292,1),(347,1),(370,1),(401,1)}
       229:{1,3,5,7}:{(172,1),(173,1),(180,1),(190,1),(261,1),(281,1),(283,1),(361,1),(413,1),(423,1)}
       230:{1,4,5,7}:{(174,1),(176,1),(277,1),(284,1),(365,1),(368,1)}
       231:{1,3,6}:{(174,1),(175,1),(177,1),(284,1)}
       232:{1,2,6,7}:{(175,1),(178,1),(279,1),(285,1),(425,1)}
       233:{2,4,6}:{(176,1),(177,1),(179,1),(284,1),(286,1)}
       234:{2,3,6,7}:{(177,1),(178,1),(180,1),(281,1),(285,1),(287,1),(425,1)}
       235:{1,3,5,6}:{(179,1),(181,1),(197,1),(268,1),(286,1),(288,1)}
       236:{1,3,4,6,7}:{(179,1),(180,1),(182,1),(198,1),(269,1),(283,1),(287,1),(288,1)}
       237:{1,4,5,7}:{(181,1),(182,1),(199,1),(270,1),(288,1),(368,1)}
       238:{2,3,5}:{(183,1),(184,1),(290,1)}
       239:{1,4,5}:{(184,1),(186,1),(290,1),(292,1)}
       240:{1,3,5,6}:{(184,1),(185,1),(187,1),(193,1),(291,1),(292,1),(293,1)}
       241:{1,2,5,7}:{(185,1),(188,1),(194,1),(293,1),(368,1),(375,1)}
       242:{2,4,6}:{(186,1),(187,1),(189,1),(292,1),(295,1)}
       243:{2,3,5,7}:{(187,1),(188,1),(190,1),(196,1),(293,1),(295,1)}
       244:{3,4,5,6}:{(189,1),(197,1),(294,1),(296,1)}
       245:{3,4,7}:{(189,1),(190,1),(295,1)}
       246:{2,4,5,7}:{(191,1),(192,1),(290,1),(297,1),(358,1),(372,1),(375,1),(409,1)}
       247:{2,3,6}:{(191,1),(193,1),(297,1)}
       248:{1,3,4,6}:{(192,1),(193,1),(195,1),(284,1),(292,1),(297,1),(299,1),(370,1)}
       249:{1,3,6,7}:{(193,1),(194,1),(196,1),(293,1),(298,1),(361,1)}
       250:{2,3,5,6}:{(195,1),(197,1),(286,1),(294,1),(299,1),(301,1)}
       251:{2,3,4,6,7}:{(195,1),(196,1),(198,1),(287,1),(295,1),(300,1),(301,1),(363,1),(374,1),(411,1)}
       252:{3,5,7}:{(197,1),(198,1),(199,1)}
       253:{2,4,5,6,7}:{(199,1),(289,1),(302,1),(369,1),(374,1),(424,1)}
       254:{2,3,4,6}:{(200,1),(208,1),(303,1),(312,1),(378,1)}
       255:{1,3,5}:{(200,1),(201,1),(202,1),(303,1),(304,1)}
       256:{1,2,5,6}:{(201,1),(203,1),(210,1),(305,1),(306,1),(330,1),(384,1)}
       257:{2,4,5}:{(202,1),(205,1),(304,1),(307,1)}
       258:{2,3,5,6}:{(202,1),(203,1),(206,1),(212,1),(305,1),(307,1),(308,1)}
       259:{2,5,7}:{(203,1),(204,1),(213,1)}
       260:{3,4,6}:{(205,1),(206,1),(307,1),(310,1)}
       261:{3,5,7}:{(206,1),(207,1),(215,1),(310,1)}
       262:{2,3,5,7}:{(208,1),(209,1),(303,1),(311,1),(312,1),(319,1),(389,1)}
       263:{1,3,4,5,7}:{(209,1),(211,1),(230,1),(304,1),(311,1),(313,1),(320,1),(377,1),(381,1),(386,1),(391,1),(416,1)}
       264:{1,3,6}:{(209,1),(210,1),(212,1),(312,1)}
       265:{1,2,4,6,7}:{(210,1),(213,1),(232,1),(306,1),(314,1),(322,1),(331,1),(381,1),(385,1)}
       266:{2,3,4,6}:{(211,1),(212,1),(214,1),(233,1),(307,1),(313,1),(315,1)}
       267:{2,3,6,7}:{(212,1),(213,1),(215,1),(308,1),(314,1),(324,1)}
       268:{3,5,6}:{(214,1),(216,1),(317,1)}
       269:{3,4,6,7}:{(214,1),(215,1),(217,1),(310,1),(317,1),(397,1),(422,1)}
       270:{2,4,5,7}:{(216,1),(217,1),(237,1),(317,1),(332,1)}
       271:{2,3,4}:{(218,1),(319,1)}
       272:{1,3,5}:{(218,1),(219,1),(220,1),(319,1),(321,1)}
       273:{1,2,4,6}:{(219,1),(221,1),(224,1),(321,1),(322,1),(325,1),(388,1)}
       274:{2,3,4,5}:{(220,1),(225,1),(320,1),(323,1),(334,1),(377,1)}
       275:{2,3,6}:{(220,1),(221,1),(321,1),(324,1)}
       276:{2,4,7}:{(221,1),(222,1),(227,1),(324,1)}
       277:{1,4,5}:{(223,1),(225,1),(325,1)}
       278:{1,3,5,6}:{(223,1),(224,1),(226,1),(231,1),(321,1),(325,1),(326,1),(330,1)}
       279:{1,2,5,7}:{(224,1),(227,1),(232,1),(322,1),(326,1),(420,1)}
       280:{2,4,6}:{(225,1),(226,1),(228,1),(325,1),(328,1)}
       281:{2,3,5,7}:{(226,1),(227,1),(229,1),(234,1),(324,1),(326,1),(328,1),(332,1),(389,1),(420,1)}
       282:{1,3,4,5,6}:{(228,1),(235,1),(244,1),(309,1),(327,1),(329,1),(337,1),(380,1),(390,1),(396,1),(415,1)}
       283:{1,3,4,7}:{(228,1),(229,1),(245,1),(310,1),(328,1),(338,1),(381,1),(397,1),(416,1)}
       284:{1,4,6}:{(230,1),(231,1),(233,1),(330,1)}
       285:{1,3,6,7}:{(231,1),(232,1),(234,1),(326,1),(331,1)}
       286:{2,5,6}:{(233,1),(235,1),(330,1),(332,1)}
       287:{2,4,6,7}:{(233,1),(234,1),(236,1),(328,1),(331,1),(332,1)}
       288:{1,3,5,7}:{(235,1),(236,1),(237,1),(252,1),(317,1),(332,1)}
       289:{1,4,5,6,7}:{(237,1),(253,1),(318,1),(333,1),(395,1),(399,1),(418,1)}
       290:{2,4,5}:{(238,1),(239,1),(334,1),(335,1)}
       291:{2,3,5,6}:{(238,1),(240,1),(247,1),(335,1),(336,1),(341,1),(396,1)}
       292:{1,4,6}:{(239,1),(240,1),(242,1),(335,1),(338,1)}
       293:{1,3,5,7}:{(240,1),(241,1),(243,1),(249,1),(336,1),(338,1)}
       294:{2,4,5,6}:{(242,1),(244,1),(250,1),(337,1),(339,1)}
       295:{2,4,7}:{(242,1),(243,1),(245,1),(338,1)}
       296:{3,4,5,7}:{(244,1),(245,1),(252,1),(339,1),(340,1)}
       297:{2,4,6}:{(246,1),(247,1),(248,1),(341,1)}
       298:{2,3,6,7}:{(247,1),(249,1),(336,1),(342,1),(389,1),(422,1)}
       299:{1,3,5,6}:{(248,1),(250,1),(330,1),(337,1),(341,1),(343,1),(396,1)}
       300:{1,3,4,6,7}:{(248,1),(249,1),(251,1),(331,1),(338,1),(342,1),(343,1),(391,1),(397,1),(399,1),(421,1),(422,1)}
       301:{2,3,5,7}:{(250,1),(251,1),(252,1),(332,1),(339,1),(343,1)}
       302:{3,5,6,7}:{(252,1),(253,1),(340,1),(426,1)}
       303:{2,3,5}:{(254,1),(255,1),(345,1)}
       304:{1,4,5}:{(255,1),(257,1),(345,1),(347,1)}
       305:{1,3,5,6}:{(255,1),(256,1),(258,1),(264,1),(346,1),(347,1),(348,1)}
       306:{1,2,5,7}:{(256,1),(259,1),(265,1),(348,1),(368,1),(406,1)}
       307:{2,4,6}:{(257,1),(258,1),(260,1),(347,1),(350,1)}
       308:{2,3,5,7}:{(258,1),(259,1),(261,1),(267,1),(348,1),(350,1)}
       309:{3,4,5,6}:{(260,1),(268,1),(349,1),(351,1)}
       310:{3,4,7}:{(260,1),(261,1),(350,1)}
       311:{2,4,5,7}:{(262,1),(263,1),(345,1),(352,1),(358,1),(403,1),(406,1),(409,1)}
       312:{2,3,6}:{(262,1),(264,1),(352,1)}
       313:{1,3,4,6}:{(263,1),(264,1),(266,1),(284,1),(347,1),(352,1),(354,1),(401,1)}
       314:{1,3,6,7}:{(264,1),(265,1),(267,1),(348,1),(353,1),(361,1)}
       315:{2,3,5,6}:{(266,1),(268,1),(286,1),(349,1),(354,1),(356,1)}
       316:{2,3,4,6,7}:{(266,1),(267,1),(269,1),(287,1),(350,1),(355,1),(356,1),(363,1),(405,1),(411,1)}
       317:{3,5,7}:{(268,1),(269,1),(270,1)}
       318:{2,4,5,6,7}:{(270,1),(289,1),(357,1),(369,1),(405,1),(414,1)}
       319:{2,3,5}:{(271,1),(272,1),(358,1),(359,1)}
       320:{1,3,4,5}:{(272,1),(274,1),(277,1),(358,1),(360,1)}
       321:{1,3,6}:{(272,1),(273,1),(275,1),(359,1),(361,1)}
       322:{1,2,4,7}:{(273,1),(276,1),(279,1),(361,1),(365,1),(409,1)}
       323:{2,3,4,6}:{(274,1),(275,1),(280,1),(360,1),(362,1),(363,1),(370,1),(401,1)}
       324:{2,3,7}:{(275,1),(276,1),(361,1)}
       325:{1,4,6}:{(277,1),(278,1),(280,1),(365,1)}
       326:{1,3,5,7}:{(278,1),(279,1),(281,1),(285,1),(361,1),(365,1),(368,1)}
       327:{2,4,5,6}:{(280,1),(282,1),(286,1),(362,1),(364,1),(366,1),(408,1)}
       328:{2,4,7}:{(280,1),(281,1),(283,1),(365,1)}
       329:{1,3,4,5,7}:{(282,1),(283,1),(288,1),(296,1),(351,1),(366,1),(367,1),(373,1),(404,1),(410,1),(413,1),(423,1)}
       330:{1,5,6}:{(284,1),(286,1),(368,1)}
       331:{1,4,6,7}:{(284,1),(285,1),(287,1),(365,1),(368,1)}
       332:{2,5,7}:{(286,1),(287,1),(288,1),(368,1)}
       333:{1,3,5,6,7}:{(288,1),(289,1),(302,1),(357,1),(367,1),(369,1)}
       334:{3,4,5}:{(290,1),(370,1)}
       335:{2,4,6}:{(290,1),(291,1),(292,1),(370,1),(372,1)}
       336:{2,3,5,7}:{(291,1),(293,1),(298,1),(372,1),(375,1),(413,1)}
       337:{1,4,5,6}:{(292,1),(294,1),(299,1),(371,1),(373,1)}
       338:{1,4,7}:{(292,1),(293,1),(295,1),(372,1)}
       339:{2,4,5,7}:{(294,1),(295,1),(296,1),(301,1),(373,1),(374,1)}
       340:{3,4,6,7}:{(296,1),(302,1),(374,1)}
       341:{2,5,6}:{(297,1),(299,1),(375,1)}
       342:{2,4,6,7}:{(297,1),(298,1),(300,1),(372,1),(375,1),(409,1),(425,1)}
       343:{1,3,5,7}:{(299,1),(300,1),(301,1),(368,1),(373,1),(375,1),(413,1)}
       344:{2,3,5,6,7}:{(301,1),(302,1),(369,1),(374,1),(376,1),(411,1)}
       345:{2,4,5}:{(303,1),(304,1),(377,1),(378,1)}
       346:{2,3,5,6}:{(303,1),(305,1),(312,1),(378,1),(379,1),(384,1),(415,1)}
       347:{1,4,6}:{(304,1),(305,1),(307,1),(378,1),(381,1)}
       348:{1,3,5,7}:{(305,1),(306,1),(308,1),(314,1),(379,1),(381,1)}
       349:{2,4,5,6}:{(307,1),(309,1),(315,1),(380,1),(382,1)}
       350:{2,4,7}:{(307,1),(308,1),(310,1),(381,1)}
       351:{3,4,5,7}:{(309,1),(310,1),(317,1),(382,1),(383,1)}
       352:{2,4,6}:{(311,1),(312,1),(313,1),(384,1)}
       353:{2,3,6,7}:{(312,1),(314,1),(379,1),(385,1),(389,1),(426,1)}
       354:{1,3,5,6}:{(313,1),(315,1),(330,1),(380,1),(384,1),(386,1),(415,1)}
       355:{1,3,4,6,7}:{(313,1),(314,1),(316,1),(331,1),(381,1),(385,1),(386,1),(391,1),(416,1),(418,1),(421,1),(426,1)}
       356:{2,3,5,7}:{(315,1),(316,1),(317,1),(332,1),(382,1),(386,1)}
       357:{3,5,6,7}:{(317,1),(318,1),(383,1),(422,1)}
       358:{2,4,5}:{(319,1),(320,1),(388,1)}
       359:{2,3,6}:{(319,1),(321,1),(388,1),(389,1)}
       360:{1,3,4,6}:{(320,1),(321,1),(323,1),(325,1),(388,1),(390,1),(391,1)}
       361:{1,3,7}:{(321,1),(322,1),(324,1),(389,1)}
       362:{2,3,5,6}:{(323,1),(327,1),(390,1),(392,1),(396,1),(415,1)}
       363:{2,3,4,7}:{(323,1),(324,1),(328,1),(391,1),(392,1),(397,1),(416,1)}
       364:{1,4,5,6}:{(325,1),(327,1),(330,1),(390,1),(393,1)}
       365:{1,4,7}:{(325,1),(326,1),(328,1)}
       366:{2,4,5,7}:{(327,1),(328,1),(329,1),(332,1),(392,1),(393,1),(394,1),(420,1)}
       367:{1,3,4,6,7}:{(329,1),(333,1),(340,1),(383,1),(394,1),(399,1),(418,1),(421,1),(422,1),(426,1)}
       368:{1,5,7}:{(330,1),(331,1),(332,1)}
       369:{2,5,6,7}:{(332,1),(333,1),(394,1),(395,1)}
       370:{3,4,6}:{(334,1),(335,1),(396,1),(397,1)}
       371:{2,4,5,6}:{(335,1),(337,1),(341,1),(396,1),(398,1)}
       372:{2,4,7}:{(335,1),(336,1),(338,1),(397,1)}
       373:{1,4,5,7}:{(337,1),(338,1),(339,1),(343,1),(398,1),(399,1)}
       374:{2,4,6,7}:{(339,1),(340,1),(344,1),(399,1)}
       375:{2,5,7}:{(341,1),(342,1),(343,1)}
       376:{1,3,5,6,7}:{(343,1),(344,1),(395,1),(399,1),(400,1),(421,1),(422,1)}
       377:{3,4,5}:{(345,1),(401,1)}
       378:{2,4,6}:{(345,1),(346,1),(347,1),(401,1),(403,1)}
       379:{2,3,5,7}:{(346,1),(348,1),(353,1),(403,1),(406,1),(423,1)}
       380:{1,4,5,6}:{(347,1),(349,1),(354,1),(402,1),(404,1)}
       381:{1,4,7}:{(347,1),(348,1),(350,1),(403,1)}
       382:{2,4,5,7}:{(349,1),(350,1),(351,1),(356,1),(404,1),(405,1)}
       383:{3,4,6,7}:{(351,1),(357,1),(405,1)}
       384:{2,5,6}:{(352,1),(354,1),(406,1)}
       385:{2,4,6,7}:{(352,1),(353,1),(355,1),(403,1),(406,1),(409,1),(425,1)}
       386:{1,3,5,7}:{(354,1),(355,1),(356,1),(368,1),(404,1),(406,1),(423,1)}
       387:{2,3,5,6,7}:{(356,1),(357,1),(369,1),(405,1),(407,1),(411,1)}
       388:{2,4,6}:{(358,1),(359,1),(360,1),(408,1),(409,1)}
       389:{2,3,7}:{(359,1),(361,1),(409,1)}
       390:{1,3,5,6}:{(360,1),(362,1),(364,1),(408,1),(410,1)}
       391:{1,3,4,7}:{(360,1),(361,1),(363,1),(365,1),(409,1),(410,1)}
       392:{2,3,5,7}:{(362,1),(363,1),(366,1),(410,1),(411,1),(413,1),(423,1)}
       393:{1,4,5,7}:{(364,1),(365,1),(366,1),(368,1),(410,1),(412,1)}
       394:{2,4,6,7}:{(366,1),(367,1),(369,1),(411,1),(412,1),(425,1)}
       395:{1,5,6,7}:{(368,1),(369,1),(412,1)}
       396:{3,5,6}:{(370,1),(371,1),(413,1)}
       397:{3,4,7}:{(370,1),(372,1),(413,1)}
       398:{2,4,5,7}:{(371,1),(372,1),(373,1),(375,1),(413,1),(414,1)}
       399:{1,4,6,7}:{(373,1),(374,1),(376,1),(414,1)}
       400:{2,5,6,7}:{(375,1),(376,1),(414,1),(425,1)}
       401:{3,4,6}:{(377,1),(378,1),(415,1),(416,1)}
       402:{2,4,5,6}:{(378,1),(380,1),(384,1),(415,1),(417,1)}
       403:{2,4,7}:{(378,1),(379,1),(381,1),(416,1)}
       404:{1,4,5,7}:{(380,1),(381,1),(382,1),(386,1),(417,1),(418,1)}
       405:{2,4,6,7}:{(382,1),(383,1),(387,1),(418,1)}
       406:{2,5,7}:{(384,1),(385,1),(386,1)}
       407:{1,3,5,6,7}:{(386,1),(387,1),(395,1),(418,1),(419,1),(421,1),(426,1)}
       408:{2,5,6}:{(388,1),(390,1),(420,1)}
       409:{2,4,7}:{(388,1),(389,1),(391,1),(420,1)}
       410:{1,3,5,7}:{(390,1),(391,1),(392,1),(393,1),(420,1),(421,1)}
       411:{2,3,6,7}:{(392,1),(394,1),(421,1),(422,1),(426,1)}
       412:{1,4,6,7}:{(393,1),(394,1),(395,1),(421,1)}
       413:{3,5,7}:{(396,1),(397,1),(398,1),(422,1)}
       414:{2,4,6,7}:{(398,1),(399,1),(400,1),(422,1)}
       415:{3,5,6}:{(401,1),(402,1),(423,1)}
       416:{3,4,7}:{(401,1),(403,1),(423,1)}
       417:{2,4,5,7}:{(402,1),(403,1),(404,1),(406,1),(423,1),(424,1)}
       418:{1,4,6,7}:{(404,1),(405,1),(407,1),(424,1)}
       419:{2,5,6,7}:{(406,1),(407,1),(424,1),(425,1)}
       420:{2,5,7}:{(408,1),(409,1),(410,1),(425,1)}
       421:{1,3,6,7}:{(410,1),(411,1),(412,1),(425,1)}
       422:{3,6,7}:{(413,1),(414,1)}
       423:{3,5,7}:{(415,1),(416,1),(417,1),(426,1)}
       424:{2,4,6,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{2,6,7}:{(420,1),(421,1)}
       426:{3,6,7}:{(423,1),(424,1)}

2440 :   0:{3,4,5,6,7}:{(1,1),(60,1),(136,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(45,1),(153,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(163,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(7,1),(34,1),(168,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(79,1),(107,1),(146,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(42,1),(45,1),(146,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(174,1)}
         7:{2,4,5,6,7}:{(3,1),(11,1),(12,1),(25,1),(178,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(50,1),(61,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(36,1),(62,1),(122,1),(160,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(18,1),(31,1),(34,1),(160,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(181,1)}
        12:{3,5,6,7}:{(7,1),(18,1),(184,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(26,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(139,1),(171,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(171,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(112,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(44,1),(150,1)}
        18:{3,4,6,7}:{(12,1),(25,1),(26,1),(177,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(121,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(119,1),(157,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(121,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(157,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(33,1),(34,1),(58,1),(132,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(166,1)}
        26:{3,4,5,7}:{(18,1),(35,1),(36,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(142,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(142,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{2,3,5,6,7}:{(24,1),(42,1),(45,1),(75,1),(78,1),(114,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(45,1),(46,1),(151,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1)}
        36:{3,4,5,6}:{(26,1),(47,1),(177,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(126,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(119,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(126,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(60,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{2,4,6,7}:{(33,1),(34,1),(60,1),(61,1),(134,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(61,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(166,1)}
        48:{3,4,5,6,7}:{(36,1),(63,1),(185,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(112,1),(140,1),(142,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(138,1),(149,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(140,1),(178,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(142,1),(172,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1),(78,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{3,4,6,7}:{(45,1),(78,1),(116,1)}
        61:{2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(79,1),(151,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(179,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(120,1),(159,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(158,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(96,1),(120,1),(131,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(157,1),(166,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(126,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(123,1),(136,1),(168,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(159,1),(186,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(121,1),(182,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(126,1),(134,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1),(97,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{3,5,7}:{(60,1),(61,1),(97,1)}
        79:{2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(134,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(98,1),(169,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(173,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(142,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(139,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(116,1),(142,1),(151,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(172,1),(179,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(145,1),(155,1),(180,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(111,1),(142,1),(151,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(111,1),(112,1),(187,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(111,1),(113,1),(114,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(115,1),(117,1)}
        96:{3,4,5,7}:{(78,1),(113,1),(116,1)}
        97:{3,5,6}:{(78,1),(79,1),(116,1)}
        98:{2,4,5,6,7}:{(79,1),(80,1),(115,1),(117,1),(154,1)}
        99:{2,3,4,6}:{(82,1),(118,1),(119,1),(157,1),(158,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(118,1),(120,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(120,1),(121,1),(131,1),(156,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(119,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(121,1),(123,1),(124,1),(158,1),(168,1),(181,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(120,1),(126,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(126,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(137,1),(161,1),(169,1)}
       107:{2,3,4,5}:{(88,1),(122,1),(128,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(123,1),(126,1),(128,1),(129,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(127,1),(129,1)}
       110:{2,3,4,6,7}:{(91,1),(118,1),(130,1),(157,1),(166,1),(182,1),(185,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(130,1),(131,1),(132,1)}
       112:{1,2,5,6}:{(92,1),(94,1),(121,1),(132,1),(181,1)}
       113:{2,4,5,7}:{(93,1),(96,1),(131,1),(134,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(97,1),(126,1),(132,1),(134,1)}
       115:{2,5,6,7}:{(94,1),(95,1),(127,1)}
       116:{3,4,6}:{(96,1),(97,1),(134,1)}
       117:{3,5,6,7}:{(97,1),(98,1),(137,1)}
       118:{2,3,4,7}:{(99,1),(100,1),(138,1),(173,1)}
       119:{2,3,5}:{(99,1),(102,1),(139,1)}
       120:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(138,1),(142,1)}
       121:{1,2,4,6}:{(101,1),(105,1),(112,1),(142,1),(151,1),(171,1)}
       122:{1,3,4,5}:{(102,1),(107,1),(139,1),(144,1)}
       123:{1,3,5,6}:{(102,1),(103,1),(108,1),(140,1),(142,1),(144,1),(145,1)}
       124:{1,2,4,5,7}:{(103,1),(109,1),(143,1),(145,1),(173,1),(180,1),(187,1)}
       125:{2,3,4,5,7}:{(104,1),(107,1),(113,1),(141,1),(146,1),(148,1),(176,1)}
       126:{2,3,6}:{(104,1),(105,1),(142,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(109,1),(115,1),(147,1)}
       128:{2,3,4,6}:{(107,1),(108,1),(144,1),(148,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(145,1),(147,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(149,1),(150,1),(187,1),(188,1)}
       131:{1,4,5,7}:{(111,1),(113,1),(149,1),(151,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(114,1),(142,1),(150,1),(151,1)}
       133:{1,2,5,6,7}:{(112,1),(115,1),(143,1),(152,1),(187,1)}
       134:{2,4,6}:{(113,1),(114,1),(116,1),(151,1)}
       135:{2,3,5,6,7}:{(114,1),(115,1),(117,1),(147,1),(152,1),(154,1),(176,1)}
       136:{3,4,5,6}:{(116,1),(153,1),(155,1)}
       137:{3,4,6,7}:{(116,1),(117,1),(154,1),(155,1)}
       138:{2,3,5,7}:{(118,1),(119,1),(120,1),(156,1),(157,1)}
       139:{2,4,5}:{(119,1),(122,1),(158,1)}
       140:{2,3,5,6}:{(119,1),(123,1),(157,1),(158,1),(159,1),(181,1)}
       141:{1,3,4,5,7}:{(120,1),(122,1),(125,1),(131,1),(156,1),(160,1),(162,1),(165,1),(183,1)}
       142:{1,3,6}:{(120,1),(121,1),(126,1),(157,1)}
       143:{1,2,4,6,7}:{(121,1),(124,1),(127,1),(133,1),(161,1),(169,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(128,1),(158,1),(162,1)}
       145:{1,3,5,7}:{(123,1),(124,1),(129,1),(159,1),(161,1),(162,1)}
       146:{2,3,4,6}:{(125,1),(126,1),(134,1),(160,1),(163,1)}
       147:{2,3,6,7}:{(126,1),(127,1),(129,1),(161,1)}
       148:{2,3,4,7}:{(128,1),(129,1),(162,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(165,1),(166,1)}
       150:{2,3,5,6}:{(130,1),(132,1),(157,1),(166,1),(181,1),(184,1)}
       151:{1,4,6}:{(131,1),(132,1),(134,1),(166,1)}
       152:{1,3,5,6,7}:{(132,1),(133,1),(135,1),(161,1),(167,1),(169,1),(183,1)}
       153:{2,4,5,6}:{(134,1),(136,1),(163,1),(168,1),(170,1)}
       154:{2,4,6,7}:{(134,1),(135,1),(137,1),(169,1),(170,1)}
       155:{3,4,5,7}:{(136,1),(137,1),(170,1)}
       156:{2,4,5,7}:{(138,1),(139,1),(141,1),(171,1),(173,1),(187,1)}
       157:{2,3,6}:{(138,1),(142,1),(171,1)}
       158:{2,4,6}:{(139,1),(140,1),(144,1),(173,1)}
       159:{2,3,5,7}:{(140,1),(145,1),(172,1),(173,1),(187,1)}
       160:{1,3,4,6}:{(141,1),(142,1),(146,1),(151,1),(171,1),(174,1),(177,1)}
       161:{1,3,6,7}:{(142,1),(143,1),(145,1),(147,1),(172,1)}
       162:{1,3,4,7}:{(144,1),(145,1),(148,1),(173,1)}
       163:{2,3,5,6}:{(146,1),(153,1),(174,1),(176,1)}
       164:{2,3,4,6,7}:{(146,1),(147,1),(148,1),(154,1),(175,1),(176,1)}
       165:{3,4,5,7}:{(149,1),(177,1),(188,1)}
       166:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       167:{2,3,5,6,7}:{(150,1),(152,1),(172,1),(179,1),(187,1),(188,1)}
       168:{1,4,5,6}:{(151,1),(153,1),(174,1),(178,1),(180,1)}
       169:{1,4,6,7}:{(151,1),(152,1),(154,1),(179,1),(180,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(155,1),(176,1),(180,1)}
       171:{2,4,6}:{(156,1),(157,1),(160,1),(181,1)}
       172:{2,3,6,7}:{(157,1),(159,1),(161,1),(182,1)}
       173:{2,4,7}:{(158,1),(159,1),(162,1)}
       174:{1,3,5,6}:{(160,1),(163,1),(168,1),(181,1),(183,1),(184,1)}
       175:{1,3,4,6,7}:{(160,1),(161,1),(162,1),(164,1),(169,1),(182,1),(183,1),(185,1)}
       176:{2,3,5,7}:{(163,1),(164,1),(170,1),(183,1)}
       177:{3,4,6}:{(165,1),(166,1),(184,1)}
       178:{2,4,5,6}:{(166,1),(168,1),(181,1),(184,1),(186,1)}
       179:{2,4,6,7}:{(166,1),(167,1),(169,1),(185,1),(186,1)}
       180:{1,4,5,7}:{(168,1),(169,1),(170,1),(183,1),(186,1)}
       181:{2,5,6}:{(171,1),(174,1),(187,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(173,1),(175,1),(187,1)}
       183:{1,3,5,7}:{(174,1),(175,1),(176,1),(180,1),(187,1),(188,1)}
       184:{3,5,6}:{(177,1),(178,1),(188,1)}
       185:{3,4,6,7}:{(177,1),(179,1),(188,1)}
       186:{2,4,5,7}:{(178,1),(179,1),(180,1),(187,1),(188,1)}
       187:{2,5,7}:{(181,1),(182,1),(183,1)}
       188:{3,5,7}:{(184,1),(185,1),(186,1)}

2441 :   0:{1,2,3,7}:{(1,1),(2,1),(88,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(23,1),(65,1)}
         2:{1,2,4,7}:{(0,1),(5,1),(6,1),(7,1),(105,1)}
         3:{2,3,4,7}:{(6,1),(8,1),(9,1),(73,1),(107,1)}
         4:{1,2,3,5}:{(1,1),(12,1),(14,1),(42,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(16,1),(40,1),(84,1)}
         6:{1,3,4,7}:{(2,1),(3,1),(11,1),(13,1),(15,1),(88,1),(90,1),(121,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(16,1)}
         8:{2,3,4,6}:{(3,1),(13,1),(17,1),(19,1),(41,1),(50,1),(86,1)}
         9:{2,3,5,7}:{(3,1),(15,1),(17,1),(18,1),(19,1)}
        10:{3,4,5,7}:{(18,1),(20,1),(49,1),(55,1),(93,1)}
        11:{2,3,4,7}:{(6,1),(21,1),(22,1),(101,1),(107,1)}
        12:{1,2,4}:{(4,1),(24,1)}
        13:{1,3,4,6}:{(5,1),(6,1),(8,1),(21,1),(24,1),(26,1),(29,1),(61,1),(65,1),(67,1),(104,1)}
        14:{1,2,5}:{(5,1),(26,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(9,1),(22,1),(26,1),(28,1),(29,1)}
        16:{1,2,6}:{(7,1),(29,1)}
        17:{2,3,5}:{(8,1),(26,1),(31,1)}
        18:{2,4,5,7}:{(9,1),(10,1),(28,1),(31,1),(33,1),(73,1),(74,1)}
        19:{2,3,6}:{(9,1),(29,1),(33,1)}
        20:{3,4,6}:{(10,1),(33,1),(35,1)}
        21:{2,3,4,6}:{(11,1),(13,1),(37,1),(39,1),(41,1),(79,1),(86,1)}
        22:{2,3,5,7}:{(11,1),(15,1),(37,1),(38,1),(39,1)}
        23:{1,2,3}:{(40,1)}
        24:{1,3,4}:{(12,1),(41,1),(42,1)}
        25:{1,2,4,5}:{(12,1),(14,1),(42,1),(43,1),(44,1),(85,1)}
        26:{1,3,5}:{(13,1),(14,1),(17,1),(37,1),(44,1)}
        27:{1,2,5,6}:{(14,1),(16,1),(43,1),(45,1),(46,1),(84,1),(122,1)}
        28:{1,4,5,7}:{(15,1),(18,1),(38,1),(44,1),(47,1),(90,1),(91,1)}
        29:{1,3,6}:{(15,1),(16,1),(19,1),(39,1),(47,1)}
        30:{1,2,6,7}:{(16,1),(46,1),(48,1),(138,1)}
        31:{2,4,5}:{(17,1),(44,1),(49,1),(50,1)}
        32:{2,3,5,6}:{(17,1),(19,1),(45,1),(50,1),(51,1),(52,1),(86,1),(92,1),(122,1)}
        33:{2,4,6}:{(18,1),(19,1),(20,1),(47,1),(52,1)}
        34:{2,3,6,7}:{(19,1),(48,1),(51,1),(53,1),(126,1),(138,1)}
        35:{3,5,6}:{(20,1),(52,1),(54,1),(55,1)}
        36:{3,4,6,7}:{(20,1),(53,1),(55,1),(93,1),(96,1),(126,1)}
        37:{2,3,5}:{(21,1),(26,1),(57,1)}
        38:{2,4,5,7}:{(22,1),(28,1),(56,1),(57,1),(59,1),(101,1),(102,1)}
        39:{2,3,6}:{(22,1),(29,1),(59,1)}
        40:{1,2,4}:{(23,1),(61,1),(62,1)}
        41:{2,3,4}:{(24,1),(61,1),(63,1)}
        42:{1,3,5}:{(24,1),(25,1),(63,1),(65,1)}
        43:{1,2,4,6}:{(25,1),(27,1),(65,1),(66,1),(67,1),(106,1)}
        44:{1,4,5}:{(26,1),(31,1),(57,1),(67,1)}
        45:{1,3,5,6}:{(26,1),(27,1),(29,1),(32,1),(58,1),(65,1),(67,1),(68,1),(69,1),(104,1),(131,1)}
        46:{1,2,5,7}:{(27,1),(30,1),(66,1),(68,1),(105,1),(133,1)}
        47:{1,4,6}:{(28,1),(29,1),(33,1),(59,1),(69,1)}
        48:{1,3,6,7}:{(29,1),(30,1),(34,1),(60,1),(68,1),(70,1),(139,1)}
        49:{3,4,5}:{(31,1),(71,1)}
        50:{2,4,6}:{(31,1),(32,1),(67,1),(71,1),(73,1)}
        51:{2,3,5,7}:{(32,1),(34,1),(68,1),(73,1),(74,1),(107,1),(112,1),(133,1)}
        52:{2,5,6}:{(33,1),(35,1),(69,1),(74,1)}
        53:{2,4,6,7}:{(33,1),(34,1),(36,1),(70,1),(73,1),(74,1)}
        54:{4,5,6}:{(35,1),(75,1)}
        55:{3,5,7}:{(35,1),(36,1),(74,1),(75,1)}
        56:{3,4,5,7}:{(38,1),(77,1),(78,1),(115,1),(117,1)}
        57:{2,4,5}:{(37,1),(44,1),(78,1),(79,1)}
        58:{2,3,5,6}:{(37,1),(39,1),(45,1),(79,1),(80,1),(81,1),(86,1),(116,1),(122,1)}
        59:{2,4,6}:{(38,1),(39,1),(47,1),(77,1),(81,1)}
        60:{2,3,6,7}:{(39,1),(48,1),(80,1),(82,1),(136,1),(138,1)}
        61:{1,3,4}:{(40,1),(41,1),(83,1)}
        62:{1,2,5}:{(40,1),(83,1),(84,1)}
        63:{2,3,5}:{(41,1),(42,1),(83,1),(85,1),(86,1)}
        64:{1,3,4,5}:{(42,1),(44,1),(49,1),(78,1),(85,1),(87,1)}
        65:{1,3,6}:{(42,1),(43,1),(86,1),(88,1)}
        66:{1,2,4,7}:{(43,1),(46,1),(88,1),(90,1),(123,1)}
        67:{1,4,6}:{(44,1),(45,1),(50,1),(79,1),(90,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(48,1),(51,1),(80,1),(88,1),(90,1),(91,1),(121,1),(137,1)}
        69:{1,5,6}:{(47,1),(52,1),(81,1),(91,1)}
        70:{1,4,6,7}:{(47,1),(48,1),(53,1),(82,1),(90,1),(91,1)}
        71:{3,4,6}:{(49,1),(50,1),(92,1),(93,1)}
        72:{2,4,5,6}:{(50,1),(52,1),(54,1),(89,1),(92,1),(94,1),(122,1)}
        73:{2,4,7}:{(50,1),(51,1),(90,1),(93,1)}
        74:{2,5,7}:{(52,1),(53,1),(55,1),(91,1)}
        75:{4,5,7}:{(54,1),(55,1),(96,1)}
        76:{3,5,6,7}:{(55,1),(95,1),(96,1),(126,1)}
        77:{3,4,6}:{(56,1),(59,1),(97,1)}
        78:{3,4,5}:{(57,1),(99,1)}
        79:{2,4,6}:{(57,1),(58,1),(67,1),(99,1),(101,1)}
        80:{2,3,5,7}:{(58,1),(60,1),(68,1),(101,1),(102,1),(107,1),(129,1),(133,1)}
        81:{2,5,6}:{(59,1),(69,1),(97,1),(102,1)}
        82:{2,4,6,7}:{(59,1),(60,1),(70,1),(98,1),(101,1),(102,1)}
        83:{1,3,5}:{(61,1),(62,1),(63,1),(103,1),(104,1)}
        84:{1,2,6}:{(62,1),(104,1),(105,1)}
        85:{2,4,5}:{(63,1),(64,1),(103,1),(106,1)}
        86:{2,3,6}:{(63,1),(65,1),(104,1),(106,1),(107,1)}
        87:{1,3,4,6}:{(64,1),(65,1),(67,1),(71,1),(99,1),(106,1),(108,1),(109,1)}
        88:{1,3,7}:{(65,1),(66,1),(107,1)}
        89:{1,4,5,6}:{(67,1),(69,1),(72,1),(100,1),(108,1),(110,1),(131,1)}
        90:{1,4,7}:{(67,1),(68,1),(73,1),(101,1)}
        91:{1,5,7}:{(69,1),(70,1),(74,1),(102,1)}
        92:{3,5,6}:{(71,1),(72,1),(112,1)}
        93:{3,4,7}:{(71,1),(73,1),(112,1)}
        94:{2,4,5,7}:{(72,1),(73,1),(74,1),(75,1),(110,1),(112,1),(113,1),(133,1)}
        95:{2,5,6,7}:{(74,1),(76,1),(111,1),(113,1)}
        96:{4,6,7}:{(75,1),(76,1)}
        97:{3,5,6}:{(77,1),(81,1),(114,1),(115,1)}
        98:{3,4,6,7}:{(77,1),(82,1),(115,1),(117,1),(135,1),(136,1)}
        99:{3,4,6}:{(78,1),(79,1),(116,1),(117,1)}
       100:{2,4,5,6}:{(79,1),(81,1),(89,1),(114,1),(116,1),(118,1),(122,1)}
       101:{2,4,7}:{(79,1),(80,1),(90,1),(117,1)}
       102:{2,5,7}:{(81,1),(82,1),(91,1),(115,1)}
       103:{1,4,5}:{(83,1),(85,1),(120,1)}
       104:{1,3,6}:{(83,1),(84,1),(86,1),(120,1),(121,1)}
       105:{1,2,7}:{(84,1),(121,1)}
       106:{2,4,6}:{(85,1),(86,1),(87,1),(120,1),(122,1),(123,1)}
       107:{2,3,7}:{(86,1),(88,1),(121,1),(123,1)}
       108:{1,3,5,6}:{(87,1),(89,1),(92,1),(116,1),(122,1),(124,1)}
       109:{1,3,4,7}:{(87,1),(88,1),(90,1),(93,1),(117,1),(123,1),(124,1)}
       110:{1,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(118,1),(124,1),(125,1),(137,1)}
       111:{1,5,6,7}:{(91,1),(95,1),(119,1),(125,1)}
       112:{3,5,7}:{(92,1),(93,1),(94,1),(126,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(96,1),(125,1),(126,1),(138,1)}
       114:{4,5,6}:{(97,1),(127,1)}
       115:{3,5,7}:{(97,1),(98,1),(102,1),(127,1)}
       116:{3,5,6}:{(99,1),(100,1),(129,1)}
       117:{3,4,7}:{(99,1),(101,1),(129,1)}
       118:{2,4,5,7}:{(100,1),(101,1),(102,1),(110,1),(127,1),(129,1),(130,1),(133,1)}
       119:{2,5,6,7}:{(102,1),(111,1),(128,1),(130,1)}
       120:{1,4,6}:{(103,1),(104,1),(106,1),(131,1),(132,1)}
       121:{1,3,7}:{(104,1),(105,1),(107,1),(132,1)}
       122:{2,5,6}:{(106,1),(108,1),(131,1),(133,1)}
       123:{2,4,7}:{(106,1),(107,1),(109,1),(132,1),(133,1)}
       124:{1,3,5,7}:{(108,1),(109,1),(110,1),(112,1),(129,1),(133,1),(134,1)}
       125:{1,4,6,7}:{(110,1),(111,1),(113,1),(130,1),(134,1),(139,1)}
       126:{3,6,7}:{(112,1),(113,1)}
       127:{4,5,7}:{(114,1),(115,1),(135,1)}
       128:{3,5,6,7}:{(115,1),(119,1),(135,1),(136,1)}
       129:{3,5,7}:{(116,1),(117,1),(118,1),(136,1)}
       130:{2,4,6,7}:{(118,1),(119,1),(125,1),(135,1),(136,1),(138,1)}
       131:{1,5,6}:{(120,1),(122,1),(137,1)}
       132:{1,4,7}:{(120,1),(121,1),(123,1),(137,1)}
       133:{2,5,7}:{(122,1),(123,1),(124,1),(137,1),(138,1)}
       134:{1,3,6,7}:{(124,1),(125,1),(126,1),(136,1),(138,1)}
       135:{4,6,7}:{(127,1),(128,1)}
       136:{3,6,7}:{(129,1),(130,1)}
       137:{1,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{2,6,7}:{(133,1),(134,1),(139,1)}
       139:{1,6,7}:{(137,1),(138,1)}

2442 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1)}
        2:{2,3,4}:{(3,1),(5,1)}
        3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
        4:{1,2,5}:{(1,1),(8,1),(9,1)}
        5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
        6:{3,4,5}:{(10,1),(12,1)}
        7:{2,3,4}:{(3,1),(14,1)}
        8:{1,3,5}:{(3,1),(4,1),(5,1),(14,1),(15,1),(16,1)}
        9:{1,2,6}:{(4,1),(16,1),(17,1)}
       10:{2,4,5}:{(5,1),(6,1),(15,1),(18,1)}
       11:{2,3,6}:{(5,1),(16,1),(18,1),(19,1)}
       12:{3,4,6}:{(6,1),(18,1),(20,1),(21,1)}
       13:{4,5,6}:{(20,1),(22,1)}
       14:{2,3,5}:{(7,1),(8,1),(24,1),(25,1)}
       15:{1,4,5}:{(8,1),(10,1),(24,1),(26,1)}
       16:{1,3,6}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1)}
       17:{1,2,7}:{(9,1),(27,1)}
       18:{2,4,6}:{(10,1),(11,1),(12,1),(26,1),(28,1),(29,1)}
       19:{2,3,7}:{(11,1),(27,1),(29,1)}
       20:{3,5,6}:{(12,1),(13,1),(28,1),(30,1)}
       21:{3,4,7}:{(12,1),(29,1),(30,1)}
       22:{4,5,7}:{(13,1),(30,1),(31,1)}
       23:{5,6,7}:{(31,1)}
       24:{2,4,5}:{(14,1),(15,1),(32,1),(33,1)}
       25:{2,3,6}:{(14,1),(16,1),(33,1),(34,1)}
       26:{1,4,6}:{(15,1),(16,1),(18,1),(33,1),(35,1),(36,1)}
       27:{1,3,7}:{(16,1),(17,1),(19,1),(34,1),(36,1)}
       28:{2,5,6}:{(18,1),(20,1),(35,1),(37,1)}
       29:{2,4,7}:{(18,1),(19,1),(21,1),(36,1),(37,1)}
       30:{3,5,7}:{(20,1),(21,1),(22,1),(37,1),(38,1)}
       31:{4,6,7}:{(22,1),(23,1),(38,1)}
       32:{3,4,5}:{(24,1),(39,1)}
       33:{2,4,6}:{(24,1),(25,1),(26,1),(39,1),(40,1),(41,1)}
       34:{2,3,7}:{(25,1),(27,1),(41,1)}
       35:{1,5,6}:{(26,1),(28,1),(40,1),(42,1)}
       36:{1,4,7}:{(26,1),(27,1),(29,1),(41,1),(42,1)}
       37:{2,5,7}:{(28,1),(29,1),(30,1),(42,1),(43,1)}
       38:{3,6,7}:{(30,1),(31,1),(43,1)}
       39:{3,4,6}:{(32,1),(33,1),(44,1),(45,1)}
       40:{2,5,6}:{(33,1),(35,1),(44,1),(46,1)}
       41:{2,4,7}:{(33,1),(34,1),(36,1),(45,1),(46,1)}
       42:{1,5,7}:{(35,1),(36,1),(37,1),(46,1),(47,1)}
       43:{2,6,7}:{(37,1),(38,1),(47,1)}
       44:{3,5,6}:{(39,1),(40,1),(48,1),(49,1)}
       45:{3,4,7}:{(39,1),(41,1),(49,1)}
       46:{2,5,7}:{(40,1),(41,1),(42,1),(49,1),(50,1)}
       47:{1,6,7}:{(42,1),(43,1),(50,1)}
       48:{4,5,6}:{(44,1),(51,1)}
       49:{3,5,7}:{(44,1),(45,1),(46,1),(51,1),(52,1)}
       50:{2,6,7}:{(46,1),(47,1),(52,1)}
       51:{4,5,7}:{(48,1),(49,1),(53,1)}
       52:{3,6,7}:{(49,1),(50,1),(53,1)}
       53:{4,6,7}:{(51,1),(52,1),(54,1)}
       54:{5,6,7}:{(53,1)}

2443 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2444 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(19,1),(59,1),(62,1),(81,1),(84,1),(86,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(28,1),(49,1),(75,1),(94,1),(98,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(36,1),(59,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(20,1),(36,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(90,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(11,1),(47,1),(74,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(28,1),(46,1),(69,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(11,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(28,1),(49,1),(76,1),(80,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(19,1),(35,1),(59,1),(62,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(86,1)}
        12:{1,3,4,5,7}:{(7,1),(18,1),(20,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(40,1),(64,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(24,1),(47,1),(73,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(28,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(29,1),(47,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(69,1),(76,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(28,1),(31,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(49,1),(52,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(18,1),(34,1),(57,1),(83,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(34,1),(35,1),(36,1),(59,1),(85,1)}
        25:{2,3,4,6,7}:{(16,1),(35,1),(37,1),(39,1),(62,1),(85,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(36,1),(40,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(41,1),(59,1)}
        28:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(41,1),(64,1)}
        30:{2,3,4,5,7}:{(20,1),(35,1),(39,1),(42,1),(67,1),(85,1),(100,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(41,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(64,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(28,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(45,1),(47,1)}
        36:{1,4,5,7}:{(24,1),(26,1),(46,1),(47,1),(94,1)}
        37:{1,3,4,6,7}:{(25,1),(26,1),(47,1),(49,1),(50,1),(51,1),(73,1),(74,1),(94,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(48,1),(49,1),(50,1),(52,1)}
        39:{2,3,4,6}:{(28,1),(30,1),(45,1),(51,1),(76,1),(92,1)}
        40:{1,4,6}:{(28,1),(29,1),(31,1)}
        41:{1,2,5,6}:{(29,1),(32,1),(52,1),(69,1)}
        42:{1,3,4,5,7}:{(30,1),(31,1),(47,1),(51,1),(54,1),(55,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(52,1),(54,1),(55,1),(56,1),(78,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(53,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(39,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(40,1),(57,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(36,1),(37,1),(57,1),(59,1)}
        48:{1,2,4,5,7}:{(36,1),(38,1),(58,1),(59,1),(60,1),(85,1)}
        49:{2,4,6,7}:{(37,1),(59,1),(62,1),(63,1),(85,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(64,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(42,1),(57,1),(63,1),(64,1),(86,1),(99,1)}
        52:{1,2,4,6}:{(40,1),(41,1),(43,1),(63,1),(64,1)}
        53:{1,2,3,5,6}:{(41,1),(44,1),(64,1),(65,1),(82,1),(88,1)}
        54:{2,4,5,7}:{(42,1),(59,1),(63,1),(67,1),(85,1),(100,1)}
        55:{1,3,5,7}:{(43,1),(64,1),(67,1),(68,1),(88,1)}
        56:{1,2,4,7}:{(44,1),(65,1),(68,1),(85,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(52,1),(69,1),(70,1),(78,1),(92,1)}
        59:{2,5,7}:{(47,1),(49,1),(69,1)}
        60:{1,3,5,7}:{(48,1),(50,1),(70,1),(72,1),(73,1)}
        61:{1,2,4,6,7}:{(49,1),(71,1),(74,1),(75,1),(94,1)}
        62:{2,3,6,7}:{(49,1),(50,1),(72,1),(74,1),(76,1)}
        63:{2,4,6}:{(51,1),(54,1),(69,1),(76,1)}
        64:{1,3,6}:{(52,1),(55,1),(76,1)}
        65:{1,2,4,6}:{(53,1),(56,1),(77,1),(78,1),(92,1)}
        66:{1,2,4,5,7}:{(54,1),(71,1),(75,1),(79,1),(94,1),(98,1),(103,1),(104,1)}
        67:{2,3,5,7}:{(54,1),(55,1),(76,1),(79,1),(80,1),(97,1)}
        68:{1,3,4,7}:{(55,1),(56,1),(77,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(63,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(64,1),(82,1),(83,1),(88,1)}
        71:{1,2,5,7}:{(59,1),(61,1),(81,1),(84,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(84,1),(85,1)}
        73:{1,3,4,7}:{(60,1),(83,1),(85,1)}
        74:{1,3,6,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{1,2,4,6}:{(63,1),(66,1),(81,1),(86,1),(99,1)}
        76:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        77:{1,3,4,6}:{(64,1),(65,1),(68,1),(87,1),(88,1)}
        78:{1,2,4,5}:{(65,1),(88,1),(100,1)}
        79:{1,3,5,7}:{(66,1),(67,1),(86,1),(90,1),(102,1)}
        80:{2,3,4,7}:{(67,1),(68,1),(85,1),(87,1),(90,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(76,1),(91,1),(92,1),(97,1)}
        83:{1,3,4,6}:{(70,1),(73,1),(92,1),(93,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(91,1),(94,1)}
        85:{2,4,7}:{(72,1),(73,1),(92,1),(94,1)}
        86:{1,3,6}:{(75,1),(76,1),(79,1)}
        87:{2,3,4,6}:{(76,1),(77,1),(80,1),(92,1),(96,1),(97,1)}
        88:{1,3,5}:{(77,1),(78,1),(97,1)}
        89:{1,2,3,5,7}:{(79,1),(95,1),(98,1),(104,1)}
        90:{1,3,4,7}:{(79,1),(80,1),(94,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(86,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(88,1),(100,1)}
        94:{1,4,7}:{(84,1),(85,1),(99,1)}
        95:{1,2,3,6}:{(86,1),(89,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(90,1),(99,1),(101,1),(102,1)}
        97:{2,3,5}:{(87,1),(88,1),(100,1),(102,1)}
        98:{1,2,4,7}:{(89,1),(90,1),(101,1)}
        99:{1,4,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(97,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2445 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(76,1),(134,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(93,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(110,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(94,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(35,1),(115,1),(122,1),(127,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(45,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(38,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(122,1),(128,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(45,1),(70,1),(100,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(45,1),(106,1),(114,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(33,1),(35,1),(122,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(37,1),(38,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(33,1),(38,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(37,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(38,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(58,1),(90,1),(99,1)}
        33:{1,3,4,6,7}:{(24,1),(26,1),(45,1)}
        34:{1,2,3,4,6,7}:{(27,1),(46,1),(55,1),(74,1),(83,1),(108,1)}
        35:{2,3,5,6,7}:{(24,1),(29,1),(45,1),(47,1),(100,1),(106,1)}
        36:{2,3,4,5,6}:{(25,1),(48,1),(49,1),(79,1),(130,1)}
        37:{1,4,5,6}:{(25,1),(28,1),(51,1)}
        38:{2,4,5,7}:{(25,1),(26,1),(29,1),(45,1),(51,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(51,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(33,1),(56,1),(84,1),(118,1)}
        45:{2,4,6,7}:{(33,1),(35,1),(38,1),(58,1)}
        46:{1,2,3,5,7}:{(34,1),(39,1),(59,1),(60,1),(125,1)}
        47:{1,3,5,6,7}:{(35,1),(41,1),(58,1),(61,1),(90,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(62,1),(63,1),(65,1),(95,1),(139,1)}
        49:{2,3,4,5,7}:{(36,1),(38,1),(57,1),(63,1),(98,1),(141,1)}
        50:{1,2,4,5,6}:{(37,1),(40,1),(62,1),(65,1),(66,1),(67,1)}
        51:{1,4,5,7}:{(37,1),(38,1),(41,1),(58,1)}
        52:{1,2,4,5}:{(39,1),(64,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(90,1)}
        56:{2,4,5,6,7}:{(44,1),(45,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(45,1),(49,1),(69,1),(71,1),(106,1),(131,1)}
        58:{1,4,6,7}:{(45,1),(47,1),(51,1)}
        59:{1,2,4,5,7}:{(46,1),(52,1),(72,1),(74,1),(83,1)}
        60:{1,2,3,5,6}:{(46,1),(74,1),(107,1)}
        61:{1,2,5,6,7}:{(47,1),(54,1),(73,1),(100,1)}
        62:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        63:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(71,1),(80,1),(82,1),(113,1),(145,1)}
        64:{1,3,4,5}:{(52,1),(78,1),(81,1)}
        65:{1,3,5,6}:{(50,1),(79,1),(81,1),(82,1)}
        66:{1,2,4,5,7}:{(50,1),(51,1),(54,1),(73,1),(80,1),(82,1),(83,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(81,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(58,1),(84,1),(140,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(63,1),(84,1),(88,1),(90,1),(122,1),(140,1)}
        72:{1,3,4,5,7}:{(59,1),(64,1),(87,1),(89,1),(99,1),(125,1)}
        73:{1,2,4,6,7}:{(58,1),(61,1),(66,1),(88,1),(90,1)}
        74:{1,2,4,6}:{(59,1),(60,1),(89,1)}
        75:{1,2,3,5,6,7}:{(60,1),(61,1),(68,1),(90,1),(92,1),(116,1),(125,1)}
        76:{1,2,3,4,6}:{(86,1),(93,1),(120,1),(126,1)}
        77:{1,2,4,5,6}:{(62,1),(95,1),(96,1),(126,1),(139,1),(142,1)}
        78:{2,3,4,5}:{(64,1),(94,1),(97,1)}
        79:{2,3,5,6}:{(62,1),(65,1),(95,1),(97,1),(98,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(88,1),(98,1)}
        81:{1,3,4,6}:{(64,1),(65,1),(67,1),(97,1),(99,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(90,1),(98,1),(99,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(99,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(71,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(73,1),(100,1),(101,1),(109,1),(131,1)}
        86:{1,2,3,4,7}:{(76,1),(102,1),(138,1)}
        87:{2,3,4,5,7}:{(72,1),(78,1),(103,1),(105,1),(114,1),(137,1)}
        88:{2,4,6,7}:{(71,1),(80,1),(100,1),(106,1)}
        89:{1,3,4,6}:{(72,1),(74,1),(105,1),(107,1)}
        90:{1,3,6,7}:{(73,1),(82,1),(106,1)}
        91:{1,2,4,5,6}:{(74,1),(107,1),(109,1),(130,1)}
        92:{1,2,4,6,7}:{(74,1),(75,1),(83,1),(108,1),(109,1),(131,1)}
        93:{1,2,3,5}:{(76,1),(110,1)}
        94:{1,3,4,5}:{(78,1),(110,1),(112,1)}
        95:{1,3,5,6}:{(77,1),(79,1),(112,1),(113,1)}
        96:{1,2,4,5,7}:{(77,1),(80,1),(104,1),(113,1),(138,1),(145,1),(146,1)}
        97:{2,3,4,6}:{(78,1),(79,1),(81,1),(112,1),(114,1)}
        98:{2,3,5,7}:{(79,1),(80,1),(82,1),(106,1),(113,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(83,1),(114,1)}
       100:{2,5,6,7}:{(84,1),(88,1)}
       101:{1,3,5,6,7}:{(85,1),(90,1),(116,1),(118,1),(125,1)}
       102:{1,2,3,5,7}:{(86,1),(93,1),(119,1),(120,1)}
       103:{1,3,4,5,7}:{(87,1),(94,1),(119,1),(121,1),(128,1),(144,1)}
       104:{1,2,4,6,7}:{(88,1),(96,1),(115,1),(122,1),(140,1)}
       105:{2,3,4,6}:{(87,1),(89,1),(121,1),(123,1)}
       106:{2,3,6,7}:{(88,1),(90,1),(98,1),(122,1)}
       107:{1,3,5,6}:{(89,1),(91,1),(123,1),(125,1)}
       108:{1,3,4,6,7}:{(89,1),(90,1),(92,1),(99,1),(124,1),(125,1)}
       109:{1,2,4,5,7}:{(91,1),(92,1),(125,1),(141,1)}
       110:{1,2,4,5}:{(93,1),(94,1),(126,1)}
       111:{1,2,3,5,6}:{(93,1),(95,1),(120,1),(126,1),(127,1),(142,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(97,1),(126,1),(128,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(122,1),(128,1)}
       114:{2,3,4,7}:{(97,1),(98,1),(99,1),(128,1)}
       115:{1,2,5,6,7}:{(100,1),(104,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(129,1),(131,1),(137,1)}
       117:{1,3,4,5,6}:{(107,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(110,1),(133,1),(138,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,3,4,6}:{(103,1),(105,1),(133,1),(135,1)}
       122:{1,3,6,7}:{(104,1),(106,1),(113,1)}
       123:{2,3,5,6}:{(105,1),(107,1),(130,1),(135,1),(137,1)}
       124:{2,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(131,1),(136,1),(137,1)}
       125:{1,3,5,7}:{(107,1),(108,1),(109,1),(137,1)}
       126:{1,2,4,6}:{(110,1),(111,1),(112,1),(138,1)}
       127:{1,2,3,5,7}:{(111,1),(113,1),(134,1),(138,1),(146,1)}
       128:{1,3,4,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(122,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(123,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(125,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(121,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(127,1),(143,1)}
       135:{1,3,5,6}:{(121,1),(123,1),(139,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(128,1),(140,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(123,1),(124,1),(125,1),(141,1),(144,1)}
       138:{1,2,4,7}:{(126,1),(127,1),(128,1)}
       139:{1,4,5,6}:{(130,1),(135,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(137,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2446 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2447 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2448 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(23,1),(55,1),(116,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(34,1),(72,1),(107,1),(108,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(33,1),(105,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(49,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(21,1),(92,1),(94,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(51,1),(55,1),(90,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(32,1),(43,1),(64,1),(80,1),(100,1),(104,1),(107,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(67,1),(102,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(36,1),(72,1),(74,1),(77,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(75,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(59,1),(82,1),(95,1),(111,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(21,1),(22,1),(50,1),(89,1),(92,1)}
        13:{2,3,4,6}:{(7,1),(20,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(88,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(58,1),(91,1)}
        17:{2,4,5,6,7}:{(10,1),(27,1),(28,1),(90,1),(93,1)}
        18:{1,2,3,5,6}:{(19,1),(29,1),(30,1),(59,1),(95,1),(97,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(33,1),(67,1),(102,1),(104,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(32,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(12,1),(15,1),(36,1),(37,1),(70,1),(74,1),(80,1),(100,1)}
        23:{2,3,4,5}:{(13,1),(34,1),(67,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1),(36,1),(102,1)}
        26:{2,5,6,7}:{(15,1),(16,1),(104,1)}
        27:{1,4,5,6,7}:{(16,1),(17,1),(41,1),(74,1),(107,1)}
        28:{3,4,5,6,7}:{(17,1),(106,1),(108,1)}
        29:{1,2,4,6}:{(18,1),(32,1),(42,1),(43,1),(44,1)}
        30:{1,2,3,5,7}:{(18,1),(33,1),(44,1),(45,1),(78,1),(81,1)}
        31:{1,2,3,5,6}:{(19,1),(46,1),(47,1),(82,1),(111,1),(113,1)}
        32:{2,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        33:{2,3,5,7}:{(19,1),(21,1),(50,1),(51,1),(89,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(49,1),(59,1),(82,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(50,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(25,1),(51,1),(95,1),(111,1)}
        37:{1,2,5,6,7}:{(22,1),(26,1),(54,1),(89,1),(97,1),(113,1)}
        38:{2,3,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(56,1),(86,1),(115,1)}
        39:{2,3,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(57,1),(58,1),(114,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(57,1),(58,1),(116,1)}
        42:{1,3,4,6}:{(29,1),(48,1),(59,1),(60,1),(95,1)}
        43:{1,2,4,5}:{(29,1),(49,1),(59,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(60,1)}
        45:{1,2,3,6,7}:{(30,1),(51,1),(62,1),(95,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(64,1),(65,1)}
        47:{1,2,3,5,7}:{(31,1),(33,1),(65,1),(66,1),(98,1),(101,1)}
        48:{2,3,4,6}:{(32,1),(42,1),(63,1),(67,1),(68,1),(102,1)}
        49:{2,4,5}:{(32,1),(34,1),(67,1)}
        50:{2,4,7}:{(32,1),(33,1),(35,1)}
        51:{2,3,6,7}:{(33,1),(36,1),(70,1),(102,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(73,1),(78,1),(98,1),(110,1),(120,1),(122,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(72,1),(73,1),(74,1),(106,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(71,1),(73,1),(74,1),(109,1),(119,1)}
        55:{2,3,4,6}:{(38,1),(72,1),(75,1),(102,1),(121,1)}
        56:{2,3,5,7}:{(39,1),(73,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(40,1),(74,1),(76,1),(77,1),(121,1)}
        58:{3,5,6,7}:{(41,1),(77,1),(123,1)}
        59:{1,3,5}:{(42,1),(43,1),(67,1)}
        60:{1,3,4,7}:{(42,1),(44,1),(68,1),(78,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(69,1),(78,1),(80,1),(81,1),(110,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(79,1),(80,1),(81,1)}
        63:{1,3,4,6}:{(46,1),(48,1),(82,1),(83,1),(111,1)}
        64:{1,2,4,5}:{(46,1),(49,1),(82,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(83,1)}
        66:{1,2,3,6,7}:{(47,1),(51,1),(85,1),(111,1)}
        67:{2,3,5}:{(48,1),(49,1),(59,1),(82,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(60,1),(83,1),(86,1)}
        69:{2,4,5,7}:{(49,1),(50,1),(52,1),(86,1),(88,1),(89,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(53,1),(88,1),(89,1)}
        71:{2,3,5,6,7}:{(51,1),(54,1),(89,1),(90,1),(114,1),(117,1)}
        72:{1,3,4,6}:{(52,1),(55,1),(88,1),(91,1),(95,1),(111,1),(118,1),(124,1),(125,1)}
        73:{1,3,5,7}:{(53,1),(56,1),(89,1),(91,1),(92,1),(117,1)}
        74:{1,4,6,7}:{(54,1),(57,1),(90,1),(92,1),(118,1),(124,1)}
        75:{2,3,5,6}:{(55,1),(56,1),(91,1),(93,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(94,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(94,1),(125,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(61,1),(86,1),(95,1)}
        79:{1,3,4,6,7}:{(60,1),(62,1),(87,1),(95,1),(96,1),(118,1)}
        80:{1,2,4,6}:{(61,1),(88,1),(95,1),(97,1),(118,1)}
        81:{1,2,5,7}:{(62,1),(89,1),(96,1),(97,1)}
        82:{1,3,5}:{(63,1),(64,1),(67,1)}
        83:{1,3,4,7}:{(63,1),(65,1),(68,1),(98,1)}
        84:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(98,1),(100,1),(101,1),(120,1)}
        85:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(99,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(69,1),(78,1),(98,1),(102,1)}
        87:{2,3,4,6,7}:{(68,1),(70,1),(79,1),(99,1),(102,1),(103,1),(106,1),(121,1)}
        88:{2,4,6}:{(69,1),(72,1),(102,1),(104,1)}
        89:{2,5,7}:{(70,1),(73,1),(104,1)}
        90:{2,4,6,7}:{(71,1),(74,1),(105,1),(106,1),(121,1)}
        91:{1,3,5,6}:{(72,1),(73,1),(75,1),(104,1),(107,1),(123,1)}
        92:{1,4,5,7}:{(73,1),(74,1),(76,1),(105,1),(107,1)}
        93:{2,4,5,6}:{(75,1),(76,1),(107,1),(108,1),(121,1)}
        94:{3,4,5,7}:{(76,1),(77,1),(108,1)}
        95:{1,3,6}:{(78,1),(80,1),(102,1)}
        96:{1,3,5,7}:{(79,1),(81,1),(103,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(104,1),(109,1)}
        98:{1,3,5,7}:{(82,1),(83,1),(84,1),(86,1),(111,1)}
        99:{1,3,4,6,7}:{(83,1),(85,1),(87,1),(111,1),(112,1),(124,1)}
       100:{1,2,4,6}:{(84,1),(88,1),(111,1),(113,1),(124,1)}
       101:{1,2,5,7}:{(85,1),(89,1),(112,1),(113,1)}
       102:{2,3,6}:{(86,1),(88,1),(95,1),(111,1)}
       103:{2,3,5,7}:{(87,1),(89,1),(96,1),(112,1),(114,1),(115,1),(117,1)}
       104:{2,5,6}:{(88,1),(89,1),(91,1)}
       105:{2,4,5,7}:{(89,1),(90,1),(92,1),(116,1),(117,1)}
       106:{3,4,6,7}:{(90,1),(117,1),(125,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(93,1),(116,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,3,5,6}:{(95,1),(96,1),(97,1),(114,1),(118,1)}
       110:{1,4,5,7}:{(96,1),(115,1),(118,1)}
       111:{1,3,6}:{(98,1),(100,1),(102,1)}
       112:{1,3,5,7}:{(99,1),(101,1),(103,1),(119,1),(120,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(104,1),(119,1)}
       114:{2,3,5,6}:{(102,1),(103,1),(104,1),(109,1),(119,1),(121,1),(123,1)}
       115:{2,4,5,7}:{(103,1),(110,1),(120,1),(121,1),(122,1)}
       116:{2,4,5,6}:{(104,1),(105,1),(107,1),(121,1),(123,1)}
       117:{3,5,7}:{(105,1),(106,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(121,1)}
       119:{1,3,5,6}:{(111,1),(112,1),(113,1),(114,1),(124,1)}
       120:{1,4,5,7}:{(112,1),(115,1),(124,1)}
       121:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       122:{3,4,5,7}:{(115,1),(117,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(121,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2449 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2450 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2451 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(119,1),(123,1),(124,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(135,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(124,1),(125,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(42,1),(124,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(99,1),(100,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(106,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(86,1),(87,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(42,1),(93,1),(99,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(31,1),(34,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(34,1),(35,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(54,1),(80,1),(86,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(26,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,3,4,5,6}:{(25,1),(44,1),(45,1),(71,1),(139,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(26,1),(42,1),(46,1)}
        35:{1,4,5,6}:{(25,1),(27,1),(46,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(34,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(36,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(34,1),(53,1),(56,1),(84,1),(129,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(56,1),(57,1),(59,1),(83,1),(144,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(36,1),(54,1)}
        47:{1,2,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(59,1),(61,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(59,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(80,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(46,1)}
        55:{1,2,5,6,7}:{(43,1),(48,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(66,1),(70,1),(72,1),(97,1),(138,1)}
        57:{2,4,5,6}:{(45,1),(70,1),(71,1)}
        58:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(67,1),(70,1),(72,1),(74,1)}
        59:{1,3,5,6}:{(47,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(72,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(94,1),(102,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(60,1),(80,1),(81,1),(89,1),(104,1),(108,1)}
        69:{1,2,4,5,6}:{(57,1),(82,1),(83,1),(111,1),(144,1),(145,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(79,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(59,1),(83,1),(84,1),(85,1)}
        72:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(86,1)}
        73:{1,3,4,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(86,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(87,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(108,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(70,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(72,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(74,1),(94,1),(95,1),(102,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(92,1),(97,1),(124,1),(138,1),(140,1)}
        83:{1,3,5,6}:{(69,1),(71,1),(97,1),(98,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(72,1),(93,1),(97,1),(99,1)}
        85:{2,3,4,6}:{(71,1),(73,1),(98,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(74,1),(99,1)}
        87:{1,3,4,5}:{(73,1),(75,1),(100,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(102,1)}
        89:{1,2,3,5,6}:{(76,1),(102,1),(122,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(84,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(107,1),(108,1),(115,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,2,3,5,6}:{(83,1),(110,1),(111,1),(135,1),(145,1),(146,1)}
        97:{1,3,5,7}:{(82,1),(83,1),(84,1),(106,1),(112,1)}
        98:{1,3,4,6}:{(83,1),(85,1),(111,1),(112,1),(113,1)}
        99:{2,3,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       100:{2,3,4,5}:{(85,1),(87,1),(113,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(108,1),(114,1),(115,1)}
       102:{1,2,4,6}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(97,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(99,1),(117,1),(120,1),(121,1),(127,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(102,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(119,1),(124,1),(140,1)}
       111:{1,2,4,6}:{(96,1),(98,1),(124,1),(125,1)}
       112:{1,3,4,7}:{(97,1),(98,1),(99,1),(124,1)}
       113:{1,3,4,5}:{(98,1),(100,1),(125,1)}
       114:{2,3,4,5,7}:{(99,1),(100,1),(101,1),(121,1),(126,1),(127,1)}
       115:{1,3,4,6}:{(101,1),(102,1),(122,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(112,1),(128,1),(131,1),(132,1),(137,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(115,1),(133,1)}
       123:{1,2,3,4,6}:{(111,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,7}:{(110,1),(111,1),(112,1)}
       125:{1,2,4,5}:{(111,1),(113,1),(135,1)}
       126:{1,3,4,5,7}:{(112,1),(113,1),(114,1),(132,1),(136,1),(137,1)}
       127:{2,3,4,6}:{(114,1),(115,1),(133,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(127,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(124,1),(142,1)}
       135:{1,2,3,5}:{(123,1),(125,1)}
       136:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(127,1),(141,1),(143,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(137,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(146,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2452 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(126,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(137,1),(152,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(24,1),(28,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1),(44,1),(127,1),(147,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(40,1),(44,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(26,1),(60,1),(114,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(23,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(24,1),(27,1),(28,1),(45,1),(59,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(28,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(29,1),(58,1),(152,1)}
        19:{1,2,3,4,7}:{(11,1),(32,1),(33,1),(103,1)}
        20:{1,2,3,5}:{(11,1),(31,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(38,1),(39,1),(76,1),(101,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(37,1),(39,1)}
        24:{1,3,5,6}:{(14,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(16,1),(38,1),(41,1)}
        26:{1,3,4,7}:{(14,1),(17,1),(39,1),(40,1)}
        27:{1,2,4,5,7}:{(15,1),(17,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,5,6}:{(16,1),(41,1),(44,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(42,1),(44,1),(147,1),(153,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(59,1),(92,1)}
        31:{1,2,4,5}:{(20,1),(21,1),(48,1)}
        32:{1,2,3,4,6}:{(19,1),(49,1),(50,1),(86,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,6}:{(20,1),(48,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(47,1),(53,1),(54,1),(85,1),(90,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(48,1),(52,1),(54,1)}
        37:{2,3,5,6}:{(23,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,6}:{(22,1),(25,1),(53,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(55,1)}
        40:{1,3,5,7}:{(24,1),(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,6}:{(25,1),(28,1),(56,1),(59,1),(60,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(29,1),(57,1),(58,1),(60,1),(94,1),(139,1),(150,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(60,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,5,7}:{(31,1),(33,1),(35,1),(66,1),(67,1),(68,1),(100,1),(103,1)}
        48:{1,2,4,6}:{(31,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,2,3,5}:{(32,1),(68,1)}
        50:{1,2,3,6}:{(33,1),(66,1)}
        51:{1,2,3,7}:{(34,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,6}:{(35,1),(38,1),(66,1),(72,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(67,1),(71,1)}
        55:{2,3,5,7}:{(37,1),(39,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(74,1),(76,1),(107,1),(129,1),(143,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,4,5,6}:{(41,1),(75,1),(78,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(48,1),(52,1),(82,1)}
        66:{1,2,4,6}:{(47,1),(50,1),(53,1),(83,1)}
        67:{1,2,4,7}:{(48,1),(51,1),(54,1),(82,1)}
        68:{1,2,4,5}:{(49,1),(85,1),(86,1)}
        69:{1,2,3,5,6}:{(49,1),(50,1),(83,1),(86,1),(87,1),(112,1)}
        70:{1,2,3,6,7}:{(50,1),(51,1),(84,1),(87,1),(134,1)}
        71:{1,3,5,7}:{(52,1),(54,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,5,6}:{(53,1),(56,1),(83,1),(89,1),(90,1)}
        73:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(84,1),(88,1),(90,1),(116,1),(117,1),(134,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,4,5,6}:{(56,1),(59,1),(89,1),(92,1),(93,1)}
        76:{2,3,5,7}:{(56,1),(57,1),(60,1),(90,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(60,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(93,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(67,1),(71,1),(98,1)}
        83:{1,2,5,6}:{(66,1),(72,1),(100,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(73,1),(98,1),(100,1),(103,1)}
        85:{1,3,4,5}:{(68,1),(101,1),(102,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(102,1),(103,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(100,1),(103,1),(125,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,4,5,6}:{(72,1),(75,1),(106,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(76,1),(100,1),(106,1)}
        91:{2,3,5,6,7}:{(74,1),(76,1),(77,1),(96,1),(104,1),(107,1),(122,1),(142,1),(143,1)}
        92:{3,4,5,6}:{(75,1),(108,1)}
        93:{2,4,5,7}:{(75,1),(76,1),(78,1),(106,1),(107,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,4,5,6}:{(83,1),(86,1),(89,1),(112,1),(113,1),(118,1)}
       100:{1,2,5,7}:{(83,1),(84,1),(90,1)}
       101:{2,3,4,5}:{(85,1),(114,1),(115,1)}
       102:{1,3,4,6}:{(85,1),(86,1),(112,1),(115,1),(116,1)}
       103:{1,2,4,7}:{(86,1),(87,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(90,1),(91,1),(109,1),(111,1),(117,1),(134,1)}
       105:{1,3,4,5,6}:{(89,1),(92,1),(112,1),(118,1),(119,1)}
       106:{1,4,5,7}:{(89,1),(90,1),(93,1),(117,1)}
       107:{2,4,6,7}:{(91,1),(93,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(142,1)}
       111:{1,2,5,6,7}:{(98,1),(100,1),(104,1),(123,1),(142,1)}
       112:{1,3,5,6}:{(99,1),(102,1),(124,1),(125,1)}
       113:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(106,1),(123,1),(125,1),(132,1)}
       114:{1,3,4,5}:{(101,1),(127,1),(128,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(124,1),(128,1),(129,1)}
       116:{1,3,4,7}:{(102,1),(103,1),(125,1),(129,1)}
       117:{1,4,6,7}:{(104,1),(106,1),(107,1)}
       118:{2,4,5,6}:{(105,1),(124,1),(131,1),(132,1)}
       119:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(125,1),(130,1),(132,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(133,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(113,1),(117,1),(134,1),(140,1)}
       124:{2,3,5,6}:{(112,1),(115,1),(118,1),(135,1),(136,1)}
       125:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(136,1)}
       126:{1,2,3,4}:{(137,1)}
       127:{1,2,4,5}:{(114,1),(137,1),(138,1)}
       128:{1,3,4,6}:{(114,1),(115,1),(135,1),(138,1),(139,1)}
       129:{2,3,4,7}:{(115,1),(116,1),(136,1),(139,1)}
       130:{1,3,4,6,7}:{(117,1),(119,1),(120,1),(133,1),(134,1),(140,1)}
       131:{1,4,5,6}:{(118,1),(135,1),(141,1)}
       132:{2,4,5,7}:{(118,1),(119,1),(136,1),(140,1),(141,1)}
       133:{1,3,5,6,7}:{(121,1),(122,1),(130,1),(142,1)}
       134:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       135:{1,3,5,6}:{(124,1),(128,1),(131,1),(144,1),(145,1)}
       136:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(143,1),(145,1)}
       137:{1,2,3,5}:{(126,1),(127,1),(146,1)}
       138:{1,2,4,6}:{(127,1),(128,1),(144,1),(146,1),(147,1)}
       139:{1,3,4,7}:{(128,1),(129,1),(145,1),(147,1)}
       140:{2,4,6,7}:{(130,1),(132,1),(142,1),(143,1),(148,1)}
       141:{1,4,5,7}:{(131,1),(132,1),(145,1),(148,1)}
       142:{2,5,6,7}:{(133,1),(140,1),(149,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(140,1),(150,1)}
       144:{1,2,5,6}:{(135,1),(138,1),(151,1)}
       145:{1,3,5,7}:{(135,1),(136,1),(139,1),(141,1),(150,1),(151,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,4,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(140,1),(141,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(142,1),(148,1)}
       150:{1,3,6,7}:{(143,1),(145,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(144,1),(145,1),(147,1),(153,1)}
       152:{1,2,3,7}:{(146,1),(147,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2453 :   0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(120,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(17,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(135,1),(151,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(26,1),(29,1),(121,1),(146,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(16,1),(37,1),(43,1),(103,1),(137,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(13,1),(14,1)}
         8:{1,2,4,5}:{(4,1),(16,1),(17,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
        10:{1,2,3,6,7}:{(5,1),(15,1),(18,1),(75,1),(151,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(58,1),(85,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(27,1),(51,1),(61,1),(83,1),(123,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(23,1)}
        14:{1,2,5,6}:{(7,1),(23,1),(26,1)}
        15:{1,2,4,6,7}:{(7,1),(10,1),(24,1),(26,1),(29,1),(146,1),(153,1)}
        16:{1,3,4,5}:{(8,1),(27,1),(28,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(28,1),(29,1)}
        18:{1,2,3,5,7}:{(9,1),(10,1),(26,1),(29,1),(57,1)}
        19:{1,2,3,4,6}:{(11,1),(31,1),(32,1),(65,1)}
        20:{1,2,3,5,7}:{(11,1),(30,1),(31,1),(32,1),(78,1),(116,1)}
        21:{1,3,4,5,7}:{(12,1),(30,1),(33,1),(41,1),(64,1),(68,1),(80,1),(105,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(33,1),(34,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(34,1),(36,1),(37,1)}
        24:{1,3,4,6,7}:{(13,1),(15,1),(35,1),(37,1),(43,1),(72,1),(75,1),(137,1),(149,1)}
        25:{1,2,4,5,6}:{(14,1),(17,1),(36,1),(39,1),(40,1),(73,1)}
        26:{1,2,5,7}:{(14,1),(15,1),(37,1)}
        27:{2,3,4,5}:{(16,1),(41,1),(42,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(39,1),(42,1),(43,1)}
        29:{1,2,4,7}:{(17,1),(18,1),(43,1)}
        30:{1,2,4,5,7}:{(20,1),(21,1),(44,1),(45,1),(59,1),(82,1),(85,1),(99,1)}
        31:{1,2,3,5}:{(19,1),(45,1)}
        32:{1,2,3,6}:{(20,1),(44,1)}
        33:{1,3,4,6}:{(21,1),(22,1),(44,1),(48,1)}
        34:{2,3,5,6}:{(22,1),(23,1),(48,1),(50,1),(51,1)}
        35:{2,3,4,6,7}:{(22,1),(24,1),(49,1),(51,1),(61,1),(89,1),(95,1),(123,1),(142,1)}
        36:{1,4,5,6}:{(23,1),(50,1),(54,1)}
        37:{1,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(54,1)}
        38:{1,2,5,6,7}:{(26,1),(52,1),(55,1),(129,1),(153,1)}
        39:{1,3,5,6}:{(25,1),(28,1),(56,1),(57,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(54,1),(55,1),(57,1),(94,1)}
        41:{1,3,4,5}:{(27,1),(59,1),(60,1)}
        42:{2,3,4,6}:{(27,1),(28,1),(56,1),(60,1),(61,1)}
        43:{1,3,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        44:{1,2,4,6}:{(30,1),(32,1),(33,1),(62,1)}
        45:{1,2,4,5}:{(31,1),(64,1),(65,1)}
        46:{1,2,3,5,6}:{(31,1),(32,1),(62,1),(65,1),(66,1),(101,1)}
        47:{1,2,3,6,7}:{(32,1),(63,1),(66,1),(116,1),(132,1)}
        48:{1,3,5,6}:{(33,1),(34,1),(62,1),(67,1),(68,1)}
        49:{1,3,4,6,7}:{(33,1),(35,1),(63,1),(68,1),(80,1),(105,1),(106,1),(114,1),(132,1)}
        50:{2,4,5,6}:{(34,1),(36,1),(67,1),(70,1),(71,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(68,1),(71,1)}
        52:{1,3,5,6,7}:{(37,1),(38,1),(69,1),(72,1),(75,1),(149,1),(152,1)}
        53:{1,3,4,5,6}:{(36,1),(39,1),(70,1),(73,1),(74,1)}
        54:{1,4,5,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,4,6,7}:{(38,1),(40,1),(72,1),(75,1),(112,1)}
        56:{2,3,5,6}:{(39,1),(42,1),(73,1),(76,1),(77,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(43,1),(75,1),(77,1)}
        58:{1,2,3,4}:{(78,1)}
        59:{1,2,4,5}:{(41,1),(78,1),(79,1)}
        60:{1,3,4,6}:{(41,1),(42,1),(76,1),(79,1),(80,1)}
        61:{2,3,4,7}:{(42,1),(43,1),(77,1),(80,1)}
        62:{1,2,5,6}:{(44,1),(48,1),(82,1)}
        63:{1,2,4,6,7}:{(44,1),(47,1),(49,1),(82,1),(85,1),(99,1),(131,1)}
        64:{1,3,4,5}:{(45,1),(83,1),(84,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(84,1),(85,1)}
        66:{1,2,3,5,7}:{(46,1),(47,1),(82,1),(85,1),(119,1)}
        67:{1,4,5,6}:{(48,1),(50,1),(88,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(51,1),(82,1),(88,1)}
        69:{2,3,5,6,7}:{(51,1),(52,1),(86,1),(89,1),(95,1),(128,1),(129,1),(142,1),(147,1)}
        70:{3,4,5,6}:{(50,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(88,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(54,1),(89,1)}
        73:{2,4,5,6}:{(53,1),(56,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(53,1),(54,1),(57,1),(90,1),(92,1),(94,1)}
        75:{1,3,6,7}:{(55,1),(57,1),(95,1)}
        76:{1,3,5,6}:{(56,1),(60,1),(93,1),(96,1),(97,1)}
        77:{2,3,5,7}:{(56,1),(57,1),(61,1),(94,1),(95,1),(97,1)}
        78:{1,2,3,5}:{(58,1),(59,1),(98,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(96,1),(98,1),(99,1)}
        80:{1,3,4,7}:{(60,1),(61,1),(97,1),(99,1)}
        81:{1,2,4,5,6}:{(62,1),(65,1),(67,1),(101,1),(102,1),(107,1)}
        82:{1,2,5,7}:{(62,1),(63,1),(68,1)}
        83:{2,3,4,5}:{(64,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(64,1),(65,1),(101,1),(104,1),(105,1)}
        85:{1,2,4,7}:{(65,1),(66,1),(105,1)}
        86:{1,3,5,6,7}:{(68,1),(69,1),(100,1),(106,1),(114,1),(132,1),(141,1)}
        87:{1,3,4,5,6}:{(67,1),(70,1),(101,1),(107,1),(108,1)}
        88:{1,4,5,7}:{(67,1),(68,1),(71,1),(106,1)}
        89:{2,4,6,7}:{(69,1),(71,1),(72,1),(106,1),(110,1)}
        90:{3,4,5,7}:{(70,1),(71,1),(110,1)}
        91:{1,4,5,6,7}:{(72,1),(109,1),(111,1),(152,1)}
        92:{1,3,4,6,7}:{(72,1),(74,1),(75,1),(110,1),(111,1),(112,1)}
        93:{1,4,5,6}:{(73,1),(76,1),(113,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,6,7}:{(75,1),(77,1),(112,1),(114,1)}
        96:{1,2,5,6}:{(76,1),(79,1),(115,1)}
        97:{1,3,5,7}:{(76,1),(77,1),(80,1),(113,1),(114,1),(115,1)}
        98:{1,2,3,6}:{(78,1),(79,1),(116,1)}
        99:{1,2,4,7}:{(79,1),(80,1),(115,1),(116,1)}
       100:{1,2,5,6,7}:{(82,1),(86,1),(117,1),(131,1),(147,1)}
       101:{1,3,5,6}:{(81,1),(84,1),(118,1),(119,1)}
       102:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(88,1),(117,1),(119,1),(127,1)}
       103:{1,3,4,5}:{(83,1),(121,1),(122,1)}
       104:{2,3,4,6}:{(83,1),(84,1),(118,1),(122,1),(123,1)}
       105:{1,3,4,7}:{(84,1),(85,1),(119,1),(123,1)}
       106:{1,4,6,7}:{(86,1),(88,1),(89,1)}
       107:{2,4,5,6}:{(87,1),(118,1),(126,1),(127,1)}
       108:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(119,1),(125,1),(127,1)}
       109:{2,4,5,6,7}:{(89,1),(91,1),(124,1),(128,1),(129,1),(147,1)}
       110:{3,4,6,7}:{(89,1),(90,1),(128,1)}
       111:{1,3,5,6,7}:{(91,1),(92,1),(128,1),(129,1)}
       112:{2,4,6,7}:{(92,1),(94,1),(95,1),(129,1),(130,1)}
       113:{1,4,5,7}:{(93,1),(94,1),(97,1),(130,1)}
       114:{1,3,6,7}:{(95,1),(97,1),(130,1),(131,1)}
       115:{1,2,5,7}:{(96,1),(97,1),(99,1),(131,1)}
       116:{1,2,3,7}:{(98,1),(99,1)}
       117:{1,2,4,6,7}:{(100,1),(102,1),(106,1),(132,1),(139,1)}
       118:{2,3,5,6}:{(101,1),(104,1),(107,1),(133,1),(134,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(105,1),(132,1),(134,1)}
       120:{1,2,3,4}:{(135,1)}
       121:{1,2,4,5}:{(103,1),(135,1),(136,1)}
       122:{1,3,4,6}:{(103,1),(104,1),(133,1),(136,1),(137,1)}
       123:{2,3,4,7}:{(104,1),(105,1),(134,1),(137,1)}
       124:{1,4,5,6,7}:{(106,1),(109,1),(138,1),(141,1)}
       125:{1,3,4,6,7}:{(106,1),(108,1),(110,1),(132,1),(138,1),(139,1)}
       126:{1,4,5,6}:{(107,1),(133,1),(140,1)}
       127:{2,4,5,7}:{(107,1),(108,1),(134,1),(139,1),(140,1)}
       128:{3,5,6,7}:{(109,1),(110,1)}
       129:{2,5,6,7}:{(111,1),(112,1),(141,1)}
       130:{1,4,6,7}:{(112,1),(113,1),(114,1),(141,1)}
       131:{1,2,6,7}:{(114,1),(115,1)}
       132:{1,3,6,7}:{(117,1),(119,1),(142,1)}
       133:{1,3,5,6}:{(118,1),(122,1),(126,1),(143,1),(144,1)}
       134:{2,3,5,7}:{(118,1),(119,1),(123,1),(127,1),(142,1),(144,1)}
       135:{1,2,3,5}:{(120,1),(121,1),(145,1)}
       136:{1,2,4,6}:{(121,1),(122,1),(143,1),(145,1),(146,1)}
       137:{1,3,4,7}:{(122,1),(123,1),(144,1),(146,1)}
       138:{1,3,5,6,7}:{(124,1),(125,1),(128,1),(147,1)}
       139:{2,4,6,7}:{(125,1),(127,1),(142,1),(147,1),(148,1)}
       140:{1,4,5,7}:{(126,1),(127,1),(144,1),(148,1)}
       141:{1,5,6,7}:{(129,1),(130,1)}
       142:{2,3,6,7}:{(132,1),(134,1),(139,1),(149,1)}
       143:{1,2,5,6}:{(133,1),(136,1),(150,1)}
       144:{1,3,5,7}:{(133,1),(134,1),(137,1),(140,1),(149,1),(150,1)}
       145:{1,2,3,6}:{(135,1),(136,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(150,1),(151,1)}
       147:{2,5,6,7}:{(138,1),(139,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(152,1)}
       149:{1,3,6,7}:{(142,1),(144,1),(148,1),(153,1)}
       150:{1,2,5,7}:{(143,1),(144,1),(146,1),(153,1)}
       151:{1,2,3,7}:{(145,1),(146,1)}
       152:{1,5,6,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(149,1),(150,1)}

2454 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,6}:{(1,1),(5,1),(6,1)}
        4:{1,3,4,5}:{(2,1),(8,1),(9,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,7}:{(3,1),(11,1)}
        7:{1,2,3,4}:{(12,1)}
        8:{2,3,4,5}:{(4,1),(13,1),(14,1)}
        9:{1,3,4,6}:{(4,1),(5,1),(14,1),(15,1),(16,1)}
       10:{1,2,5,6}:{(5,1),(15,1),(17,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(16,1),(17,1)}
       12:{1,2,3,5}:{(7,1),(18,1),(19,1)}
       13:{1,3,4,5}:{(8,1),(18,1),(20,1)}
       14:{2,3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1)}
       15:{1,3,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1)}
       16:{1,3,4,7}:{(9,1),(11,1),(22,1),(24,1)}
       17:{1,2,5,7}:{(10,1),(11,1),(24,1),(25,1)}
       18:{1,2,4,5}:{(12,1),(13,1),(26,1)}
       19:{1,2,3,6}:{(12,1),(26,1),(27,1)}
       20:{1,3,4,6}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(31,1)}
       22:{2,3,4,7}:{(14,1),(16,1),(29,1),(31,1)}
       23:{1,4,5,6}:{(15,1),(30,1),(32,1)}
       24:{1,3,5,7}:{(15,1),(16,1),(17,1),(31,1),(32,1),(33,1)}
       25:{1,2,6,7}:{(17,1),(33,1)}
       26:{1,2,4,6}:{(18,1),(19,1),(20,1),(34,1),(35,1)}
       27:{1,2,3,7}:{(19,1),(35,1)}
       28:{1,3,5,6}:{(20,1),(21,1),(34,1),(36,1),(37,1)}
       29:{1,3,4,7}:{(20,1),(22,1),(35,1),(37,1)}
       30:{2,4,5,6}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
       31:{2,3,5,7}:{(21,1),(22,1),(24,1),(37,1),(39,1),(40,1)}
       32:{1,4,5,7}:{(23,1),(24,1),(39,1),(41,1)}
       33:{1,3,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       34:{1,2,5,6}:{(26,1),(28,1),(42,1)}
       35:{1,2,4,7}:{(26,1),(27,1),(29,1),(42,1)}
       36:{1,4,5,6}:{(28,1),(30,1),(43,1)}
       37:{1,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(43,1),(44,1)}
       38:{3,4,5,6}:{(30,1),(45,1)}
       39:{2,4,5,7}:{(30,1),(31,1),(32,1),(43,1),(45,1),(46,1)}
       40:{2,3,6,7}:{(31,1),(33,1),(44,1),(46,1)}
       41:{1,4,6,7}:{(32,1),(33,1),(46,1),(47,1)}
       42:{1,2,5,7}:{(34,1),(35,1),(37,1),(48,1)}
       43:{1,4,5,7}:{(36,1),(37,1),(39,1),(49,1)}
       44:{1,3,6,7}:{(37,1),(40,1),(48,1),(49,1)}
       45:{3,4,5,7}:{(38,1),(39,1),(50,1)}
       46:{2,4,6,7}:{(39,1),(40,1),(41,1),(49,1),(50,1),(51,1)}
       47:{1,5,6,7}:{(41,1),(51,1)}
       48:{1,2,6,7}:{(42,1),(44,1)}
       49:{1,4,6,7}:{(43,1),(44,1),(46,1),(52,1)}
       50:{3,4,6,7}:{(45,1),(46,1),(53,1)}
       51:{2,5,6,7}:{(46,1),(47,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2455 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(34,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(43,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(42,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(52,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(51,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(50,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(25,1),(43,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(59,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(58,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(41,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(17,1),(18,1),(33,1),(51,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(17,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(18,1),(20,1),(55,1),(65,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,5,6}:{(12,1),(13,1),(24,1),(25,1)}
       18:{1,4,5,6}:{(12,1),(14,1),(25,1),(58,1)}
       19:{2,3,4,5,7}:{(13,1),(24,1),(27,1),(47,1),(59,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(25,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(26,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(19,1),(32,1),(51,1),(62,1)}
       25:{1,3,5,6}:{(17,1),(18,1),(20,1),(32,1),(33,1)}
       26:{1,2,4,5,6}:{(18,1),(21,1),(33,1),(34,1),(48,1),(51,1),(65,1),(69,1)}
       27:{1,3,4,5,7}:{(19,1),(20,1),(32,1),(35,1),(38,1),(52,1),(53,1),(55,1),(65,1)}
       28:{2,5,7}:{(20,1),(22,1),(33,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(34,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(40,1),(56,1),(58,1)}
       33:{2,5,6}:{(25,1),(28,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(29,1),(42,1),(43,1),(56,1),(68,1)}
       35:{2,4,5,7}:{(27,1),(28,1),(40,1),(45,1),(47,1),(59,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(41,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(42,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(43,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(35,1),(49,1)}
       41:{1,2,5,6}:{(33,1),(36,1),(48,1),(50,1),(69,1)}
       42:{2,3,5,6}:{(33,1),(34,1),(37,1),(49,1),(50,1),(51,1),(62,1),(64,1),(69,1)}
       43:{1,3,4,6}:{(34,1),(38,1),(51,1),(52,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(48,1),(53,1),(55,1),(65,1),(66,1),(69,1)}
       45:{2,3,5,7}:{(35,1),(49,1),(53,1),(54,1),(64,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(50,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(51,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(67,1)}
       49:{2,3,6}:{(40,1),(45,1),(56,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(46,1),(56,1),(58,1),(68,1)}
       51:{2,4,6}:{(42,1),(43,1),(47,1),(58,1),(59,1)}
       52:{1,3,4,5}:{(43,1),(59,1),(68,1)}
       53:{1,3,5,7}:{(44,1),(45,1),(56,1),(60,1),(61,1),(68,1)}
       54:{2,3,4,7}:{(45,1),(47,1),(57,1),(61,1)}
       55:{1,4,7}:{(46,1),(47,1),(58,1)}
       56:{1,3,6}:{(48,1),(49,1),(53,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(54,1),(63,1),(64,1)}
       58:{1,4,6}:{(50,1),(51,1),(55,1),(65,1)}
       59:{2,4,5}:{(51,1),(52,1),(64,1),(65,1),(69,1)}
       60:{2,3,5,7}:{(53,1),(62,1),(66,1),(69,1)}
       61:{1,3,4,7}:{(53,1),(54,1),(55,1),(63,1),(66,1)}
       62:{2,3,6}:{(56,1),(60,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(58,1),(61,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(59,1),(68,1)}
       65:{1,4,5}:{(58,1),(59,1),(68,1)}
       66:{2,4,7}:{(60,1),(61,1),(67,1)}
       67:{2,4,6}:{(62,1),(63,1),(66,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(65,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2456 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(128,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(23,1),(144,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(32,1),(158,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(23,1),(39,1),(140,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(166,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(43,1),(70,1),(74,1)}
         7:{2,3,4,5,6}:{(8,1),(12,1),(44,1),(46,1),(114,1),(140,1)}
         8:{2,3,4,5,7}:{(4,1),(7,1),(13,1),(33,1),(49,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(29,1),(32,1),(154,1)}
        10:{2,5,6,7}:{(5,1),(14,1),(171,1)}
        11:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(29,1),(54,1),(92,1)}
        12:{1,3,4,5,6}:{(7,1),(13,1),(18,1),(35,1),(58,1),(131,1),(154,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(19,1),(37,1),(43,1)}
        14:{2,4,6,7}:{(9,1),(10,1),(19,1),(21,1),(164,1)}
        15:{1,2,5,6,7}:{(10,1),(20,1),(22,1),(70,1),(105,1)}
        16:{2,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(39,1),(41,1),(70,1),(107,1)}
        17:{1,3,4,6,7}:{(11,1),(23,1),(24,1),(109,1)}
        18:{2,4,5,6}:{(12,1),(19,1),(26,1),(147,1),(164,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(18,1),(28,1)}
        20:{1,2,4,6,7}:{(14,1),(15,1),(27,1),(29,1),(32,1),(53,1),(119,1)}
        21:{2,3,6,7}:{(14,1),(28,1),(29,1),(153,1)}
        22:{1,3,5,6,7}:{(15,1),(16,1),(29,1),(32,1),(54,1),(124,1)}
        23:{2,4,6,7}:{(16,1),(17,1),(32,1),(33,1),(126,1)}
        24:{1,3,4,5,7}:{(17,1),(33,1),(34,1),(54,1)}
        25:{1,2,4,5,6}:{(18,1),(27,1),(35,1),(58,1),(61,1),(89,1),(95,1),(119,1)}
        26:{2,3,5,6}:{(18,1),(28,1),(35,1),(36,1),(130,1),(153,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(25,1),(37,1),(43,1),(65,1),(70,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(26,1),(37,1),(38,1)}
        29:{1,3,6,7}:{(20,1),(21,1),(37,1),(39,1),(138,1)}
        30:{2,3,4,6,7}:{(21,1),(23,1),(38,1),(40,1),(41,1),(67,1)}
        31:{1,2,3,5,6,7}:{(22,1),(39,1),(42,1),(64,1),(70,1),(73,1),(105,1),(107,1),(138,1),(143,1),(165,1),(174,1)}
        32:{1,4,6,7}:{(22,1),(23,1),(43,1),(142,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(41,1),(43,1),(44,1),(70,1)}
        34:{1,3,4,5,6}:{(24,1),(44,1),(71,1),(109,1)}
        35:{1,3,5,6}:{(25,1),(26,1),(37,1),(46,1),(47,1),(112,1),(138,1)}
        36:{2,3,4,6}:{(26,1),(38,1),(47,1),(48,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(35,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(36,1),(50,1)}
        39:{2,3,6,7}:{(29,1),(49,1),(53,1),(121,1)}
        40:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(50,1),(53,1),(54,1),(84,1)}
        41:{2,3,5,7}:{(30,1),(33,1),(54,1),(55,1)}
        42:{1,2,4,6,7}:{(31,1),(32,1),(53,1),(56,1),(57,1),(81,1),(119,1),(126,1),(159,1),(172,1)}
        43:{1,4,5,7}:{(32,1),(33,1),(54,1),(58,1)}
        44:{2,4,5,6}:{(33,1),(34,1),(55,1),(58,1),(89,1),(126,1)}
        45:{1,3,4,5,6,7}:{(34,1),(59,1),(90,1),(129,1)}
        46:{2,3,5,6}:{(35,1),(49,1),(61,1),(89,1),(96,1),(121,1)}
        47:{1,3,4,6}:{(35,1),(36,1),(50,1),(61,1),(62,1)}
        48:{2,3,4,5}:{(36,1),(62,1),(130,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(46,1),(65,1),(70,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(47,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(48,1),(66,1),(67,1),(106,1),(136,1)}
        52:{1,2,3,6,7}:{(39,1),(64,1),(68,1),(138,1),(165,1)}
        53:{2,4,6,7}:{(39,1),(40,1),(65,1),(70,1),(102,1)}
        54:{1,3,5,7}:{(40,1),(41,1),(43,1),(70,1),(71,1)}
        55:{2,3,5,6}:{(41,1),(44,1),(67,1),(71,1)}
        56:{1,3,4,6,7}:{(42,1),(69,1),(73,1),(99,1),(109,1),(138,1)}
        57:{1,2,4,5,7}:{(42,1),(43,1),(70,1),(73,1),(74,1),(106,1),(169,1),(174,1)}
        58:{1,4,5,6}:{(43,1),(44,1),(71,1),(142,1)}
        59:{2,4,5,6,7}:{(44,1),(45,1),(72,1),(75,1),(108,1),(145,1)}
        60:{1,2,3,5,6}:{(46,1),(64,1),(76,1),(105,1),(112,1),(138,1),(148,1)}
        61:{2,4,6}:{(46,1),(47,1),(65,1),(78,1)}
        62:{1,3,4,5}:{(47,1),(48,1),(78,1),(112,1)}
        63:{2,3,4,5,6}:{(48,1),(67,1),(79,1),(80,1),(144,1),(148,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(60,1),(81,1),(87,1),(118,1),(162,1)}
        65:{2,4,7}:{(49,1),(50,1),(61,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(62,1),(83,1),(84,1),(118,1),(123,1)}
        67:{2,3,4,6}:{(51,1),(55,1),(84,1),(126,1),(153,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(81,1),(86,1),(87,1),(119,1),(172,1)}
        69:{2,3,4,6,7}:{(53,1),(56,1),(82,1),(86,1),(88,1),(117,1),(121,1),(126,1),(153,1),(172,1)}
        70:{2,5,7}:{(53,1),(54,1),(89,1)}
        71:{1,3,5,6}:{(54,1),(55,1),(58,1),(84,1),(89,1)}
        72:{2,3,5,6,7}:{(55,1),(59,1),(85,1),(90,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(88,1),(92,1)}
        74:{1,2,4,5,6}:{(57,1),(58,1),(89,1),(92,1),(119,1),(126,1),(158,1),(171,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(90,1),(159,1)}
        76:{1,2,4,6}:{(60,1),(61,1),(81,1),(94,1),(95,1),(161,1)}
        77:{2,3,4,6}:{(61,1),(82,1),(94,1),(96,1),(121,1)}
        78:{2,4,5}:{(61,1),(62,1),(96,1)}
        79:{1,3,4,5,6}:{(62,1),(63,1),(84,1),(97,1),(98,1),(132,1),(158,1)}
        80:{2,3,4,5,7}:{(63,1),(85,1),(98,1),(160,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(76,1),(99,1),(170,1)}
        82:{2,3,4,7}:{(65,1),(77,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(78,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(71,1),(102,1),(138,1),(142,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(80,1),(103,1),(145,1),(165,1)}
        86:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(104,1),(138,1),(142,1)}
        87:{1,2,5,7}:{(68,1),(70,1),(104,1),(105,1),(174,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(73,1),(104,1),(106,1),(107,1),(174,1)}
        89:{2,5,6}:{(70,1),(71,1),(102,1)}
        90:{1,3,5,6,7}:{(71,1),(72,1),(75,1),(103,1),(108,1)}
        91:{1,3,4,5,7}:{(73,1),(106,1),(109,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(107,1),(109,1),(138,1)}
        93:{1,2,4,5,6,7}:{(74,1),(75,1),(108,1),(110,1),(139,1),(145,1),(169,1),(174,1)}
        94:{1,3,4,6}:{(76,1),(77,1),(99,1),(111,1),(112,1),(138,1)}
        95:{1,2,4,5}:{(76,1),(78,1),(112,1),(147,1)}
        96:{2,3,5}:{(77,1),(78,1),(112,1)}
        97:{2,4,5,6}:{(78,1),(79,1),(102,1),(115,1),(116,1)}
        98:{1,3,4,5,7}:{(79,1),(80,1),(103,1),(116,1),(150,1),(169,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(94,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(95,1),(118,1),(119,1),(123,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(96,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(89,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(98,1),(122,1),(155,1),(159,1)}
       104:{1,3,5,7}:{(86,1),(87,1),(88,1),(123,1),(124,1)}
       105:{1,2,5,6}:{(87,1),(89,1),(119,1),(124,1),(171,1)}
       106:{2,4,5,7}:{(88,1),(91,1),(123,1),(126,1)}
       107:{2,3,5,6}:{(88,1),(89,1),(92,1),(121,1),(124,1),(126,1),(153,1),(171,1)}
       108:{2,5,6,7}:{(89,1),(90,1),(122,1)}
       109:{1,3,4,6}:{(91,1),(92,1),(126,1)}
       110:{1,3,5,6,7}:{(92,1),(93,1),(127,1),(129,1),(155,1),(173,1)}
       111:{2,3,4,6}:{(94,1),(117,1),(130,1),(153,1),(161,1)}
       112:{1,3,5}:{(94,1),(95,1),(96,1),(130,1)}
       113:{1,2,4,5,6}:{(95,1),(97,1),(119,1),(132,1),(133,1),(158,1),(161,1),(171,1)}
       114:{2,3,4,5}:{(96,1),(131,1),(134,1)}
       115:{2,3,5,6}:{(96,1),(97,1),(121,1),(132,1),(134,1),(135,1)}
       116:{2,4,5,7}:{(97,1),(98,1),(122,1),(135,1)}
       117:{2,3,4,7}:{(99,1),(111,1),(136,1),(170,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(112,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(105,1),(138,1),(142,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(106,1),(114,1),(137,1),(140,1),(151,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(108,1),(116,1),(141,1)}
       123:{1,4,5,7}:{(104,1),(106,1),(142,1)}
       124:{1,3,5,6}:{(104,1),(105,1),(107,1),(138,1),(142,1)}
       125:{1,2,5,6,7}:{(105,1),(108,1),(139,1),(143,1),(174,1)}
       126:{2,4,6}:{(106,1),(107,1),(109,1),(142,1)}
       127:{2,3,5,6,7}:{(107,1),(108,1),(110,1),(141,1),(143,1),(145,1),(165,1),(168,1),(174,1)}
       128:{1,3,4,5,6}:{(109,1),(144,1),(146,1),(166,1)}
       129:{1,3,4,6,7}:{(109,1),(110,1),(145,1),(146,1)}
       130:{2,3,5}:{(111,1),(112,1),(147,1)}
       131:{1,3,4,5}:{(112,1),(114,1),(147,1),(149,1)}
       132:{1,3,5,6}:{(112,1),(113,1),(115,1),(138,1),(148,1),(149,1),(150,1)}
       133:{1,2,4,5,7}:{(113,1),(116,1),(139,1),(150,1),(169,1),(170,1),(174,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(149,1),(151,1)}
       135:{2,3,5,7}:{(115,1),(116,1),(141,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(130,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(123,1),(131,1),(152,1),(154,1),(163,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(125,1),(133,1),(155,1),(159,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(126,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(135,1),(155,1)}
       142:{1,4,6}:{(123,1),(124,1),(126,1)}
       143:{1,3,5,6,7}:{(124,1),(125,1),(127,1),(155,1),(159,1),(173,1)}
       144:{2,4,5,6}:{(126,1),(128,1),(156,1),(158,1),(160,1),(171,1)}
       145:{2,4,6,7}:{(126,1),(127,1),(129,1),(159,1),(160,1)}
       146:{1,3,4,5,7}:{(128,1),(129,1),(160,1),(173,1)}
       147:{2,4,5}:{(130,1),(131,1),(161,1)}
       148:{2,3,5,6}:{(130,1),(132,1),(153,1),(161,1),(162,1),(171,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(161,1),(163,1)}
       150:{1,3,5,7}:{(132,1),(133,1),(135,1),(155,1),(162,1),(163,1)}
       151:{2,3,4,7}:{(134,1),(135,1),(163,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(147,1),(164,1),(170,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(142,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(150,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(144,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(145,1),(151,1),(167,1),(168,1)}
       158:{1,4,5,6}:{(142,1),(144,1),(166,1),(169,1)}
       159:{1,4,6,7}:{(142,1),(143,1),(145,1),(169,1)}
       160:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(169,1),(174,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,5,7}:{(148,1),(150,1),(165,1),(170,1),(174,1)}
       163:{1,3,4,7}:{(149,1),(150,1),(151,1),(170,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(162,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(158,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(159,1),(163,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(160,1),(173,1)}
       169:{1,4,5,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,4,7}:{(161,1),(162,1),(163,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(170,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(169,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2457 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(29,1),(34,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(34,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(26,1),(39,1),(53,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(21,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(22,1),(43,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(20,1),(23,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(21,1),(24,1),(25,1),(48,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1)}
        18:{1,3,5,6}:{(11,1),(12,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(13,1),(29,1),(30,1),(34,1),(55,1),(65,1)}
        20:{2,3,4,6}:{(12,1),(15,1),(28,1),(31,1),(32,1)}
        21:{1,3,4,7}:{(12,1),(13,1),(29,1),(32,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(33,1),(34,1),(147,1),(148,1)}
        23:{1,3,4,5}:{(15,1),(31,1),(35,1)}
        24:{2,3,4,5,7}:{(15,1),(16,1),(32,1),(36,1),(37,1),(64,1),(136,1),(138,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(37,1),(38,1)}
        26:{1,2,5,6}:{(17,1),(34,1),(38,1)}
        27:{1,3,4,5,6}:{(18,1),(39,1),(40,1),(53,1),(86,1)}
        28:{2,3,5,6}:{(18,1),(20,1),(39,1),(41,1),(42,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(21,1),(42,1),(43,1)}
        30:{1,2,4,6,7}:{(19,1),(43,1),(44,1),(72,1),(77,1)}
        31:{1,3,4,6}:{(20,1),(23,1),(41,1),(45,1),(46,1)}
        32:{2,3,4,7}:{(20,1),(21,1),(42,1),(46,1)}
        33:{1,3,4,6,7}:{(21,1),(22,1),(25,1),(43,1),(47,1),(48,1),(77,1),(142,1),(143,1)}
        34:{1,2,5,7}:{(22,1),(26,1),(48,1)}
        35:{1,2,4,5}:{(23,1),(45,1),(49,1)}
        36:{1,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1),(51,1),(80,1),(127,1),(130,1)}
        37:{2,3,4,6}:{(24,1),(25,1),(51,1),(52,1)}
        38:{1,3,5,6}:{(25,1),(26,1),(48,1),(52,1),(53,1)}
        39:{2,4,5,6}:{(27,1),(28,1),(54,1),(55,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(55,1),(56,1),(65,1),(96,1)}
        41:{1,3,5,6}:{(28,1),(31,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(59,1)}
        44:{1,2,5,6,7}:{(30,1),(34,1),(60,1),(88,1),(147,1)}
        45:{1,2,4,6}:{(31,1),(35,1),(57,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(31,1),(32,1),(58,1),(62,1)}
        47:{2,3,4,6,7}:{(32,1),(33,1),(37,1),(59,1),(63,1),(64,1),(92,1),(134,1),(136,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(65,1)}
        49:{1,2,3,5}:{(35,1),(61,1),(66,1)}
        50:{1,2,4,5,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1),(117,1),(120,1)}
        51:{1,3,4,6}:{(36,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(37,1),(38,1),(64,1),(69,1),(70,1)}
        53:{1,4,5,6}:{(38,1),(65,1),(70,1)}
        54:{1,4,5,6}:{(39,1),(41,1),(71,1)}
        55:{2,4,5,7}:{(39,1),(40,1),(42,1),(71,1),(72,1)}
        56:{1,3,4,6,7}:{(40,1),(43,1),(72,1),(73,1),(77,1),(105,1)}
        57:{1,2,5,6}:{(41,1),(45,1),(74,1)}
        58:{1,3,5,7}:{(41,1),(42,1),(46,1),(71,1),(74,1),(75,1)}
        59:{2,3,6,7}:{(42,1),(43,1),(72,1),(75,1)}
        60:{1,3,5,6,7}:{(43,1),(44,1),(48,1),(76,1),(77,1),(141,1),(142,1)}
        61:{1,2,3,6}:{(45,1),(49,1),(78,1)}
        62:{1,2,4,7}:{(45,1),(46,1),(74,1),(78,1)}
        63:{1,3,4,6,7}:{(46,1),(47,1),(51,1),(75,1),(79,1),(80,1),(104,1),(125,1),(127,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(52,1),(80,1),(81,1)}
        65:{1,4,5,7}:{(48,1),(53,1),(77,1),(81,1)}
        66:{1,2,3,4}:{(49,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(78,1),(82,1),(83,1),(109,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(83,1),(84,1)}
        69:{1,3,5,6}:{(51,1),(52,1),(80,1),(84,1),(85,1)}
        70:{2,4,5,6}:{(52,1),(53,1),(81,1),(85,1),(86,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(58,1),(87,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(88,1)}
        73:{1,3,5,6,7}:{(56,1),(88,1),(89,1),(114,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(62,1),(90,1)}
        75:{1,3,6,7}:{(58,1),(59,1),(87,1),(90,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(64,1),(88,1),(91,1),(92,1),(114,1),(133,1),(134,1)}
        77:{1,4,6,7}:{(60,1),(65,1),(92,1)}
        78:{1,2,3,7}:{(61,1),(62,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(117,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(69,1),(94,1),(95,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(70,1),(92,1),(95,1),(96,1)}
        82:{1,2,3,4,7}:{(66,1),(67,1),(97,1),(117,1)}
        83:{1,2,3,6}:{(67,1),(68,1)}
        84:{1,2,5,6}:{(68,1),(69,1),(94,1)}
        85:{1,4,5,6}:{(69,1),(70,1),(95,1)}
        86:{3,4,5,6}:{(70,1),(96,1)}
        87:{1,4,6,7}:{(71,1),(72,1),(75,1),(101,1)}
        88:{2,5,6,7}:{(72,1),(73,1),(101,1)}
        89:{1,4,5,6,7}:{(73,1),(77,1),(102,1),(141,1)}
        90:{1,2,6,7}:{(74,1),(75,1)}
        91:{1,3,5,6,7}:{(75,1),(76,1),(80,1),(101,1),(103,1),(104,1),(125,1)}
        92:{2,4,6,7}:{(76,1),(77,1),(81,1),(104,1),(105,1)}
        93:{1,2,3,6,7}:{(78,1),(79,1),(83,1),(106,1),(125,1)}
        94:{1,2,5,7}:{(79,1),(80,1),(84,1)}
        95:{1,4,5,7}:{(80,1),(81,1),(85,1),(104,1)}
        96:{3,4,5,7}:{(81,1),(86,1),(105,1)}
        97:{1,2,3,4,6}:{(82,1),(83,1),(109,1),(110,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(106,1),(109,1),(110,1),(111,1)}
        99:{1,2,4,5,6}:{(84,1),(85,1),(107,1),(110,1),(111,1),(112,1)}
       100:{1,3,4,5,6}:{(85,1),(86,1),(108,1),(111,1),(112,1)}
       101:{1,5,6,7}:{(87,1),(88,1)}
       102:{2,4,5,6,7}:{(88,1),(89,1),(92,1),(113,1),(114,1),(133,1)}
       103:{1,2,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(133,1)}
       104:{1,4,6,7}:{(91,1),(92,1),(95,1)}
       105:{3,4,6,7}:{(92,1),(96,1),(114,1)}
       106:{1,2,3,5,7}:{(93,1),(94,1),(98,1),(117,1),(118,1)}
       107:{1,2,4,5,7}:{(94,1),(95,1),(99,1),(115,1),(117,1),(118,1),(119,1)}
       108:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(116,1),(118,1),(119,1)}
       109:{1,2,3,5}:{(97,1),(120,1)}
       110:{1,2,4,6}:{(98,1),(117,1),(120,1),(121,1)}
       111:{1,3,5,6}:{(99,1),(118,1),(121,1),(122,1)}
       112:{2,4,5,6}:{(100,1),(119,1),(122,1),(123,1)}
       113:{1,4,5,6,7}:{(101,1),(102,1),(104,1),(124,1)}
       114:{3,5,6,7}:{(102,1),(105,1)}
       115:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(125,1),(126,1)}
       116:{1,3,4,6,7}:{(104,1),(105,1),(108,1),(124,1),(125,1),(126,1)}
       117:{1,2,4,7}:{(106,1),(110,1),(127,1)}
       118:{1,3,5,7}:{(107,1),(111,1),(125,1),(127,1),(128,1)}
       119:{2,4,5,7}:{(108,1),(112,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,5}:{(109,1),(110,1),(130,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(127,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(112,1),(128,1),(131,1),(132,1)}
       123:{1,4,5,6}:{(112,1),(129,1),(132,1)}
       124:{1,3,5,6,7}:{(113,1),(114,1),(116,1),(133,1)}
       125:{1,3,6,7}:{(115,1),(118,1),(134,1)}
       126:{2,4,6,7}:{(116,1),(119,1),(133,1),(134,1),(135,1)}
       127:{1,3,4,7}:{(117,1),(118,1),(121,1),(136,1)}
       128:{2,3,5,7}:{(118,1),(119,1),(122,1),(134,1),(136,1),(137,1)}
       129:{1,4,5,7}:{(119,1),(123,1),(135,1),(137,1)}
       130:{1,3,4,5}:{(120,1),(121,1),(138,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(136,1),(138,1),(139,1)}
       132:{1,3,5,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{2,5,6,7}:{(124,1),(126,1),(141,1)}
       134:{2,3,6,7}:{(125,1),(126,1),(128,1),(142,1)}
       135:{1,4,6,7}:{(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,7}:{(127,1),(128,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(143,1),(144,1)}
       138:{2,3,4,5}:{(130,1),(131,1),(145,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(143,1),(145,1),(146,1)}
       140:{1,2,5,6}:{(132,1),(144,1),(146,1)}
       141:{1,5,6,7}:{(133,1),(135,1)}
       142:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(139,1),(148,1)}
       144:{1,2,5,7}:{(137,1),(140,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(138,1),(139,1),(149,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2458 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(26,1),(33,1),(59,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(59,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(33,1),(35,1),(59,1),(66,1),(89,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(45,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(75,1),(116,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(45,1),(118,1),(119,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(49,1),(51,1),(75,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(45,1),(78,1)}
        14:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(34,1),(59,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(27,1),(28,1),(32,1)}
        16:{1,3,6}:{(7,1),(8,1),(28,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(26,1),(29,1),(37,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(27,1),(30,1),(31,1),(88,1),(108,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(28,1),(31,1),(32,1),(62,1),(110,1),(112,1)}
        20:{1,3,5}:{(10,1),(11,1),(32,1),(33,1)}
        21:{1,3,4,6,7}:{(13,1),(25,1),(34,1),(35,1),(56,1),(59,1),(86,1),(89,1)}
        22:{1,4,5,7}:{(12,1),(27,1),(36,1),(65,1),(67,1),(88,1)}
        23:{2,4,6}:{(12,1),(13,1),(28,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(35,1),(37,1),(38,1),(70,1)}
        25:{1,3,6,7}:{(14,1),(16,1),(40,1),(41,1),(115,1)}
        26:{1,2,5,7}:{(14,1),(17,1),(41,1),(51,1),(124,1)}
        27:{1,3,5,7}:{(15,1),(18,1),(22,1),(42,1),(43,1),(48,1)}
        28:{2,3,6}:{(15,1),(16,1),(23,1),(43,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(20,1),(41,1),(44,1),(45,1),(106,1),(118,1)}
        30:{1,2,4,7}:{(18,1),(42,1),(46,1),(47,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(43,1),(47,1),(48,1),(77,1),(100,1),(102,1)}
        32:{2,3,5}:{(19,1),(20,1),(48,1),(49,1)}
        33:{1,4,5}:{(20,1),(45,1),(49,1)}
        34:{2,4,6,7}:{(21,1),(23,1),(40,1),(50,1),(51,1),(75,1)}
        35:{1,3,5,7}:{(21,1),(24,1),(51,1),(52,1),(83,1)}
        36:{1,4,6}:{(22,1),(23,1),(43,1),(53,1)}
        37:{2,5,6}:{(23,1),(24,1),(51,1),(53,1)}
        38:{1,4,5,6}:{(24,1),(45,1),(52,1),(54,1),(106,1)}
        39:{1,3,5,6,7}:{(35,1),(55,1),(56,1),(86,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(34,1),(57,1),(58,1),(86,1),(107,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(29,1),(58,1),(59,1),(114,1),(121,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(60,1),(64,1)}
        43:{1,3,6}:{(27,1),(28,1),(36,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(29,1),(32,1),(37,1),(58,1),(61,1),(62,1),(70,1),(96,1),(110,1)}
        45:{1,4,6}:{(29,1),(33,1),(59,1),(62,1)}
        46:{1,2,3,7}:{(30,1),(63,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(60,1),(63,1),(64,1),(92,1)}
        48:{1,3,5}:{(31,1),(32,1),(64,1),(65,1)}
        49:{2,4,5}:{(32,1),(33,1),(62,1),(65,1),(66,1)}
        50:{1,4,6,7}:{(34,1),(36,1),(57,1),(67,1),(88,1)}
        51:{2,5,7}:{(34,1),(35,1),(37,1),(67,1)}
        52:{1,4,5,7}:{(35,1),(38,1),(56,1),(59,1),(68,1),(114,1)}
        53:{1,5,6}:{(36,1),(37,1),(67,1)}
        54:{2,4,5,6}:{(37,1),(38,1),(62,1),(68,1),(69,1),(70,1),(96,1)}
        55:{2,5,6,7}:{(39,1),(51,1),(71,1),(72,1)}
        56:{1,4,6,7}:{(39,1),(52,1),(72,1),(115,1)}
        57:{1,3,6,7}:{(40,1),(43,1),(50,1),(73,1),(74,1)}
        58:{2,3,5,7}:{(40,1),(41,1),(44,1),(51,1),(74,1),(75,1),(83,1),(105,1),(116,1)}
        59:{1,4,7}:{(41,1),(45,1),(75,1)}
        60:{1,2,6}:{(42,1),(43,1)}
        61:{1,3,5,6}:{(43,1),(44,1),(48,1),(53,1),(74,1),(76,1),(77,1),(100,1)}
        62:{2,4,6}:{(44,1),(45,1),(49,1),(75,1),(77,1),(78,1)}
        63:{1,2,3,6}:{(46,1),(47,1),(79,1),(100,1)}
        64:{1,2,5}:{(47,1),(48,1)}
        65:{1,4,5}:{(48,1),(49,1),(77,1)}
        66:{3,4,5}:{(49,1),(78,1)}
        67:{1,5,7}:{(50,1),(51,1),(53,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(54,1),(72,1),(75,1),(82,1),(83,1),(105,1)}
        69:{1,4,5,6}:{(53,1),(54,1),(77,1),(82,1),(84,1)}
        70:{3,5,6}:{(54,1),(78,1),(83,1)}
        71:{1,5,6,7}:{(55,1),(67,1),(85,1)}
        72:{2,4,6,7}:{(55,1),(56,1),(68,1),(85,1),(86,1),(107,1)}
        73:{1,2,6,7}:{(57,1),(60,1),(87,1),(107,1)}
        74:{1,3,5,7}:{(57,1),(58,1),(61,1),(67,1),(87,1),(88,1),(108,1)}
        75:{2,4,7}:{(58,1),(59,1),(62,1),(88,1),(89,1)}
        76:{1,2,5,6}:{(60,1),(61,1),(64,1),(87,1),(90,1),(96,1)}
        77:{1,4,6}:{(61,1),(62,1),(65,1),(88,1)}
        78:{3,4,6}:{(62,1),(66,1),(70,1),(89,1)}
        79:{1,2,3,5}:{(63,1),(64,1),(92,1),(93,1)}
        80:{1,2,4,5}:{(64,1),(65,1),(90,1),(92,1),(93,1),(94,1)}
        81:{1,3,4,5}:{(65,1),(66,1),(91,1),(93,1),(94,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(69,1),(85,1),(88,1),(95,1)}
        83:{3,5,7}:{(68,1),(70,1),(86,1),(89,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(91,1),(95,1),(96,1)}
        85:{1,4,6,7}:{(71,1),(72,1),(82,1),(97,1)}
        86:{3,6,7}:{(72,1),(83,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(76,1),(98,1),(105,1)}
        88:{1,4,7}:{(74,1),(75,1),(77,1)}
        89:{3,4,7}:{(75,1),(78,1),(83,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(98,1),(100,1),(101,1)}
        91:{1,3,4,6}:{(77,1),(78,1),(81,1),(84,1),(99,1),(100,1),(101,1)}
        92:{1,2,4}:{(79,1),(102,1)}
        93:{1,3,5}:{(80,1),(100,1),(102,1),(103,1)}
        94:{2,4,5}:{(81,1),(101,1),(103,1),(104,1)}
        95:{1,3,5,7}:{(82,1),(83,1),(84,1),(97,1),(99,1),(105,1)}
        96:{2,5,6}:{(84,1),(101,1),(105,1),(106,1)}
        97:{1,3,6,7}:{(85,1),(86,1),(95,1),(107,1)}
        98:{1,2,4,7}:{(87,1),(88,1),(90,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(88,1),(89,1),(91,1),(95,1),(108,1),(109,1)}
       100:{1,3,6}:{(90,1),(93,1),(108,1),(110,1)}
       101:{2,4,6}:{(91,1),(94,1),(96,1),(109,1),(110,1),(111,1)}
       102:{1,3,4}:{(92,1),(93,1),(112,1)}
       103:{2,3,5}:{(93,1),(94,1),(110,1),(112,1),(113,1)}
       104:{1,4,5}:{(94,1),(111,1),(113,1)}
       105:{2,5,7}:{(95,1),(96,1),(107,1),(109,1),(114,1)}
       106:{1,5,6}:{(96,1),(111,1),(114,1)}
       107:{2,6,7}:{(97,1),(105,1),(115,1)}
       108:{1,3,7}:{(98,1),(100,1),(116,1)}
       109:{2,4,7}:{(99,1),(101,1),(105,1),(116,1),(117,1)}
       110:{2,3,6}:{(100,1),(101,1),(103,1),(116,1),(118,1)}
       111:{1,4,6}:{(101,1),(104,1),(106,1),(117,1),(118,1)}
       112:{2,3,4}:{(102,1),(103,1),(119,1)}
       113:{1,3,5}:{(103,1),(104,1),(118,1),(119,1),(120,1)}
       114:{1,5,7}:{(105,1),(106,1),(115,1),(117,1)}
       115:{1,6,7}:{(107,1),(114,1)}
       116:{2,3,7}:{(108,1),(109,1),(110,1),(121,1)}
       117:{1,4,7}:{(109,1),(111,1),(114,1),(121,1)}
       118:{1,3,6}:{(110,1),(111,1),(113,1),(121,1),(122,1)}
       119:{1,3,4}:{(112,1),(113,1),(123,1)}
       120:{1,2,5}:{(113,1),(122,1),(123,1)}
       121:{1,3,7}:{(116,1),(117,1),(118,1),(124,1)}
       122:{1,2,6}:{(118,1),(120,1),(124,1)}
       123:{1,2,4}:{(119,1),(120,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

2459 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2460 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(118,1)}
         3:{1,3,4,7}:{(1,1),(6,1),(7,1),(8,1),(60,1),(122,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(9,1),(10,1),(20,1),(30,1),(31,1),(60,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(109,1),(123,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(74,1),(115,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
         8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(45,1),(98,1),(116,1)}
         9:{1,2,4,6}:{(4,1),(16,1),(19,1),(33,1),(45,1)}
        10:{1,2,5}:{(5,1),(17,1)}
        11:{1,3,4,5,7}:{(7,1),(20,1),(21,1),(30,1),(49,1),(59,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(106,1)}
        13:{1,3,4,7}:{(6,1),(22,1),(24,1),(25,1),(86,1),(106,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(20,1),(24,1),(26,1),(27,1)}
        15:{2,3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1),(58,1),(85,1),(107,1)}
        16:{1,3,6}:{(7,1),(9,1),(26,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(28,1),(31,1),(47,1),(60,1)}
        19:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(48,1),(123,1)}
        20:{2,4,5,7}:{(11,1),(14,1),(32,1),(33,1),(43,1),(64,1),(74,1)}
        21:{1,3,4,6}:{(11,1),(16,1),(33,1),(35,1),(45,1),(75,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(36,1),(37,1)}
        23:{1,2,3,6}:{(12,1),(37,1),(38,1),(96,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(36,1),(39,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1),(40,1),(70,1),(72,1),(96,1)}
        26:{2,3,6}:{(14,1),(16,1),(33,1),(39,1)}
        27:{2,3,5}:{(15,1),(17,1),(40,1),(43,1)}
        28:{1,3,6,7}:{(16,1),(18,1),(41,1),(44,1),(124,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(19,1),(42,1),(44,1),(45,1),(114,1),(116,1)}
        30:{1,4,5}:{(17,1),(43,1),(45,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(44,1),(64,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(24,1),(46,1),(56,1),(78,1),(86,1)}
        33:{2,4,6}:{(20,1),(21,1),(26,1),(46,1),(48,1)}
        34:{1,3,4,6,7}:{(21,1),(28,1),(47,1),(49,1),(60,1),(77,1),(89,1),(103,1)}
        35:{1,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(81,1)}
        36:{1,2,5,7}:{(22,1),(24,1),(51,1),(52,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,5}:{(23,1),(52,1),(53,1),(84,1)}
        39:{1,3,6}:{(24,1),(26,1),(46,1),(51,1)}
        40:{1,3,5}:{(25,1),(27,1),(52,1),(56,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(47,1),(54,1),(57,1),(103,1),(120,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(48,1),(55,1),(57,1),(58,1),(81,1),(105,1),(107,1)}
        43:{2,4,5}:{(27,1),(30,1),(56,1),(58,1),(59,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(31,1),(57,1),(60,1),(121,1),(122,1)}
        45:{1,4,6}:{(29,1),(30,1),(58,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(39,1),(63,1)}
        47:{2,4,6,7}:{(33,1),(34,1),(41,1),(62,1),(64,1),(74,1)}
        48:{2,5,6}:{(33,1),(35,1),(63,1),(64,1)}
        49:{1,3,5,7}:{(34,1),(35,1),(64,1),(66,1),(94,1)}
        50:{1,4,5,6}:{(35,1),(45,1),(65,1),(66,1),(114,1)}
        51:{1,2,6}:{(36,1),(39,1)}
        52:{1,2,5}:{(37,1),(40,1)}
        53:{1,2,4}:{(38,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(62,1),(67,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(63,1),(68,1),(71,1),(72,1),(96,1)}
        56:{1,4,5}:{(40,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(41,1),(42,1),(44,1),(64,1),(71,1),(74,1),(94,1),(113,1),(115,1)}
        58:{2,4,6}:{(42,1),(43,1),(45,1),(72,1),(74,1),(75,1)}
        59:{3,4,5}:{(43,1),(75,1)}
        60:{1,4,7}:{(44,1),(45,1),(74,1)}
        61:{1,3,5,6,7}:{(49,1),(76,1),(77,1),(103,1)}
        62:{1,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(86,1)}
        63:{1,5,6}:{(46,1),(48,1),(78,1)}
        64:{2,5,7}:{(47,1),(48,1),(49,1),(78,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(58,1),(79,1),(80,1),(81,1),(105,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(80,1),(121,1)}
        67:{1,2,6,7}:{(51,1),(54,1),(82,1),(120,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(55,1),(82,1),(83,1),(105,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(56,1),(83,1),(84,1),(88,1)}
        70:{1,3,4}:{(53,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(78,1),(82,1),(86,1),(106,1)}
        72:{1,4,6}:{(55,1),(56,1),(58,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(84,1),(87,1),(88,1)}
        74:{2,4,7}:{(57,1),(58,1),(60,1),(86,1),(89,1)}
        75:{3,4,6}:{(58,1),(59,1),(81,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(64,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,5,7}:{(62,1),(63,1),(64,1)}
        79:{1,4,5,6}:{(63,1),(65,1),(72,1),(92,1),(93,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(74,1),(91,1),(92,1),(94,1),(113,1)}
        81:{3,5,6}:{(65,1),(75,1),(94,1)}
        82:{1,2,5,7}:{(67,1),(68,1),(71,1),(95,1),(113,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(72,1),(95,1),(96,1),(100,1)}
        84:{1,3,5}:{(69,1),(70,1),(96,1),(97,1)}
        85:{2,3,4}:{(70,1),(97,1),(98,1)}
        86:{1,4,7}:{(71,1),(72,1),(74,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(93,1),(96,1),(99,1),(100,1)}
        88:{2,4,5}:{(73,1),(97,1),(100,1),(101,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(78,1),(102,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(80,1),(102,1),(103,1),(120,1)}
        92:{1,4,5,7}:{(78,1),(79,1),(80,1),(86,1),(102,1),(104,1)}
        93:{1,3,5,6}:{(79,1),(81,1),(87,1),(104,1),(105,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(103,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(86,1),(106,1),(110,1)}
        96:{1,3,6}:{(83,1),(84,1),(106,1),(107,1)}
        97:{2,3,5}:{(84,1),(85,1),(88,1),(107,1),(108,1)}
        98:{1,3,4}:{(85,1),(108,1),(109,1)}
        99:{1,3,4,7}:{(86,1),(87,1),(89,1),(104,1),(106,1),(110,1)}
       100:{2,4,6}:{(87,1),(88,1),(105,1),(107,1),(110,1),(111,1)}
       101:{1,4,5}:{(88,1),(108,1),(111,1)}
       102:{1,4,6,7}:{(90,1),(91,1),(92,1),(112,1)}
       103:{3,6,7}:{(91,1),(94,1)}
       104:{1,3,5,7}:{(92,1),(93,1),(94,1),(99,1),(112,1),(113,1)}
       105:{2,5,6}:{(93,1),(100,1),(113,1),(114,1)}
       106:{1,3,7}:{(95,1),(96,1),(115,1)}
       107:{2,3,6}:{(96,1),(97,1),(100,1),(115,1),(116,1)}
       108:{1,3,5}:{(97,1),(98,1),(101,1),(116,1),(117,1)}
       109:{1,2,4}:{(98,1),(117,1),(118,1)}
       110:{2,4,7}:{(99,1),(100,1),(113,1),(115,1),(119,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(116,1),(119,1)}
       112:{1,3,6,7}:{(102,1),(103,1),(104,1),(120,1)}
       113:{2,5,7}:{(104,1),(105,1),(110,1),(120,1),(121,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,3,7}:{(106,1),(107,1),(110,1),(122,1)}
       116:{1,3,6}:{(107,1),(108,1),(111,1),(122,1),(123,1)}
       117:{1,2,5}:{(108,1),(109,1),(123,1)}
       118:{1,2,3}:{(109,1)}
       119:{1,4,7}:{(110,1),(111,1),(121,1),(122,1)}
       120:{2,6,7}:{(112,1),(113,1),(124,1)}
       121:{1,5,7}:{(113,1),(114,1),(119,1),(124,1)}
       122:{1,3,7}:{(115,1),(116,1),(119,1),(125,1)}
       123:{1,2,6}:{(116,1),(117,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2461 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(79,1),(90,1),(92,1),(95,1),(148,1),(185,1),(193,1),(224,1),(225,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(105,1),(122,1),(161,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(106,1),(119,1),(161,1),(171,1),(207,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(108,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(78,1),(134,1),(145,1),(186,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(137,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(224,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(18,1),(19,1),(67,1),(103,1),(123,1),(160,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(18,1),(21,1),(25,1),(54,1),(58,1),(65,1),(103,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(207,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(207,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(235,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(33,1),(34,1),(44,1),(76,1),(93,1),(145,1),(152,1)}
        19:{1,2,4,6,7}:{(9,1),(32,1),(33,1),(34,1),(77,1),(182,1),(193,1),(220,1)}
        20:{1,2,4,5,6}:{(32,1),(35,1),(75,1),(81,1),(133,1),(141,1),(151,1),(182,1),(189,1),(190,1),(193,1),(198,1),(220,1),(229,1),(244,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(134,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(19,1),(20,1),(51,1),(52,1),(100,1),(103,1),(123,1),(158,1),(171,1),(177,1),(200,1),(202,1)}
        33:{1,4,6,7}:{(18,1),(21,1),(52,1),(170,1),(177,1)}
        34:{1,3,6,7}:{(19,1),(51,1),(54,1),(201,1),(213,1)}
        35:{1,3,5,6}:{(20,1),(51,1),(55,1),(56,1),(166,1),(201,1),(210,1),(213,1),(237,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(52,1),(57,1),(58,1),(65,1),(103,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(108,1),(118,1),(127,1),(165,1),(208,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(160,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(165,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(34,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(75,1),(76,1),(93,1)}
        53:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(73,1),(76,1),(77,1),(129,1)}
        54:{2,3,6,7}:{(34,1),(74,1),(77,1),(78,1),(179,1),(220,1)}
        55:{1,3,4,6}:{(35,1),(73,1),(80,1),(81,1),(198,1),(228,1)}
        56:{2,3,5,6}:{(35,1),(74,1),(81,1),(82,1),(133,1),(139,1),(179,1),(190,1),(191,1),(220,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(75,1),(84,1),(92,1),(133,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(77,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(179,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(137,1),(188,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(225,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(188,1),(225,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(55,1),(100,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(54,1),(56,1),(100,1),(101,1),(103,1),(202,1),(203,1)}
        75:{1,4,5,6}:{(52,1),(57,1),(102,1),(122,1),(170,1),(235,1)}
        76:{1,3,5,7}:{(52,1),(53,1),(58,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(53,1),(54,1),(100,1),(103,1),(104,1),(157,1)}
        78:{1,3,6,7}:{(54,1),(101,1),(104,1),(105,1),(201,1)}
        79:{1,2,4,6}:{(63,1),(106,1),(107,1),(108,1),(163,1),(165,1),(208,1)}
        80:{1,3,4,5}:{(55,1),(110,1),(166,1),(212,1),(217,1),(237,1)}
        81:{2,4,6}:{(55,1),(56,1),(100,1),(110,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(101,1),(111,1),(112,1),(160,1),(166,1),(169,1),(201,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(103,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(104,1),(116,1),(117,1),(118,1),(124,1),(156,1),(162,1),(170,1),(177,1),(178,1),(201,1),(207,1),(208,1),(213,1),(214,1),(234,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(108,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{1,3,4,5,7}:{(73,1),(76,1),(80,1),(83,1),(129,1),(130,1),(144,1),(180,1),(194,1),(223,1),(241,1)}
       100:{2,4,7}:{(73,1),(74,1),(81,1),(131,1)}
       101:{1,3,5,7}:{(74,1),(78,1),(82,1),(131,1),(132,1),(134,1),(184,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(84,1),(129,1),(133,1),(241,1)}
       103:{2,5,7}:{(76,1),(77,1),(133,1),(134,1)}
       104:{1,4,6,7}:{(77,1),(78,1),(131,1),(134,1),(182,1)}
       105:{1,2,6,7}:{(78,1),(132,1),(220,1)}
       106:{1,2,4,7}:{(79,1),(89,1),(136,1),(137,1),(188,1)}
       107:{1,2,5}:{(79,1),(90,1),(138,1),(225,1)}
       108:{1,3,6}:{(79,1),(91,1),(137,1),(138,1)}
       109:{2,3,4,6}:{(81,1),(128,1),(139,1),(140,1),(179,1),(191,1),(227,1),(228,1),(240,1)}
       110:{2,4,5}:{(80,1),(81,1),(139,1),(141,1),(190,1),(227,1)}
       111:{1,4,6}:{(81,1),(82,1),(131,1),(141,1)}
       112:{1,2,5,6}:{(82,1),(132,1),(142,1),(190,1),(220,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(133,1),(143,1),(145,1),(179,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(134,1),(144,1),(145,1),(146,1),(194,1),(199,1),(225,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(181,1),(193,1),(196,1),(197,1),(220,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(137,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(138,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(225,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(100,1),(109,1),(155,1),(156,1),(203,1),(214,1),(233,1)}
       129:{1,3,4,6}:{(99,1),(102,1),(113,1),(157,1),(170,1),(201,1),(213,1)}
       130:{2,4,5,7}:{(99,1),(100,1),(103,1),(110,1),(155,1),(157,1),(158,1),(202,1),(233,1),(243,1)}
       131:{1,4,7}:{(100,1),(101,1),(111,1)}
       132:{1,2,5,7}:{(101,1),(105,1),(112,1),(159,1),(202,1)}
       133:{2,5,6}:{(102,1),(103,1),(157,1),(160,1),(243,1)}
       134:{1,5,7}:{(103,1),(104,1),(160,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(117,1),(159,1),(161,1),(162,1),(163,1),(204,1),(207,1),(208,1)}
       136:{1,2,5,7}:{(106,1),(107,1),(119,1),(163,1),(164,1)}
       137:{1,3,7}:{(106,1),(108,1),(120,1)}
       138:{1,3,5}:{(107,1),(108,1),(121,1),(165,1)}
       139:{2,3,5}:{(109,1),(110,1),(166,1),(237,1),(243,1)}
       140:{1,3,4,6}:{(109,1),(111,1),(156,1),(166,1),(167,1),(169,1),(201,1),(210,1),(212,1),(236,1),(242,1)}
       141:{1,4,5}:{(110,1),(111,1),(166,1),(236,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(159,1),(167,1),(168,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(207,1),(217,1),(235,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(160,1),(170,1),(172,1),(201,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(162,1),(173,1),(174,1),(203,1),(213,1),(232,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(164,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(165,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(130,1),(139,1),(179,1),(180,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(131,1),(140,1),(180,1),(181,1),(184,1),(219,1),(239,1)}
       157:{2,4,6}:{(129,1),(130,1),(133,1),(179,1),(182,1),(220,1)}
       158:{1,4,5,7}:{(130,1),(131,1),(134,1),(141,1),(180,1),(182,1),(239,1),(244,1)}
       159:{1,2,4,7}:{(131,1),(132,1),(142,1),(181,1),(184,1)}
       160:{1,5,6}:{(133,1),(134,1),(182,1),(244,1)}
       161:{1,2,5,7}:{(134,1),(135,1),(146,1),(185,1),(186,1),(225,1)}
       162:{1,3,6,7}:{(135,1),(137,1),(147,1),(184,1),(186,1),(187,1),(222,1)}
       163:{1,2,6}:{(136,1),(148,1),(187,1)}
       164:{1,3,5,7}:{(136,1),(137,1),(138,1),(149,1),(187,1),(188,1),(225,1)}
       165:{1,4}:{(138,1),(150,1)}
       166:{1,3,5}:{(139,1),(140,1),(141,1),(190,1),(244,1)}
       167:{2,4,6}:{(140,1),(181,1),(190,1),(191,1),(220,1),(227,1)}
       168:{1,2,4,5}:{(141,1),(142,1),(190,1),(192,1),(227,1)}
       169:{1,3,6}:{(142,1),(184,1),(191,1),(192,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(220,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(186,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(187,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(188,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{2,3,6}:{(155,1),(157,1),(201,1),(213,1)}
       180:{1,3,5,7}:{(155,1),(156,1),(158,1),(166,1),(201,1),(202,1)}
       181:{2,4,7}:{(156,1),(167,1),(202,1),(203,1)}
       182:{1,4,6}:{(157,1),(158,1),(160,1),(201,1)}
       183:{1,2,4,5,7}:{(158,1),(159,1),(161,1),(168,1),(171,1),(202,1),(204,1),(205,1),(207,1),(233,1),(235,1),(243,1)}
       184:{1,3,7}:{(159,1),(169,1),(203,1)}
       185:{1,2,5,6}:{(160,1),(161,1),(163,1),(172,1),(204,1),(206,1),(243,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(173,1),(206,1),(207,1)}
       187:{1,3,6}:{(163,1),(164,1),(174,1),(208,1)}
       188:{1,4,7}:{(164,1),(165,1),(175,1),(208,1)}
       189:{1,2,4,6}:{(167,1),(200,1),(209,1),(210,1),(230,1),(236,1),(242,1)}
       190:{2,5}:{(166,1),(167,1)}
       191:{2,3,6}:{(167,1),(169,1),(203,1),(210,1),(211,1)}
       192:{1,3,5}:{(168,1),(169,1),(211,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(206,1),(213,1),(215,1),(216,1),(232,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(207,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(208,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(181,1),(189,1),(218,1),(219,1),(239,1)}
       201:{1,3,6}:{(179,1),(180,1),(182,1),(220,1)}
       202:{2,5,7}:{(180,1),(181,1),(190,1),(220,1)}
       203:{2,3,7}:{(181,1),(184,1),(191,1),(219,1)}
       204:{1,2,4,6}:{(182,1),(183,1),(185,1),(193,1),(220,1),(222,1),(224,1),(240,1)}
       205:{1,3,5,7}:{(183,1),(184,1),(192,1),(194,1),(221,1),(222,1),(223,1),(241,1)}
       206:{1,3,5,6}:{(185,1),(186,1),(187,1),(195,1),(222,1),(224,1),(225,1),(241,1)}
       207:{1,4,7}:{(186,1),(196,1),(224,1)}
       208:{1,4,6}:{(187,1),(188,1),(197,1),(225,1)}
       209:{1,2,5}:{(189,1),(190,1),(226,1),(244,1)}
       210:{1,3,6}:{(189,1),(191,1),(219,1),(226,1)}
       211:{2,3,5}:{(190,1),(191,1),(192,1),(226,1),(227,1)}
       212:{1,3,4}:{(192,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(224,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(225,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(202,1),(209,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(203,1),(210,1)}
       220:{2,6}:{(201,1),(202,1)}
       221:{2,3,5,7}:{(202,1),(203,1),(205,1),(211,1),(231,1),(232,1),(233,1),(243,1)}
       222:{1,3,6}:{(204,1),(205,1),(213,1),(232,1)}
       223:{1,3,4,7}:{(205,1),(207,1),(212,1),(214,1),(233,1),(234,1)}
       224:{1,4,6}:{(206,1),(207,1),(215,1),(235,1)}
       225:{1,5}:{(208,1),(216,1)}
       226:{1,3,5}:{(209,1),(210,1),(211,1),(236,1)}
       227:{2,4}:{(211,1),(212,1),(236,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(235,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(220,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(221,1),(226,1),(238,1),(239,1),(244,1)}
       232:{2,3,6}:{(220,1),(221,1),(222,1),(238,1),(240,1)}
       233:{2,4,7}:{(221,1),(223,1),(227,1),(239,1),(240,1)}
       234:{1,3,4,6}:{(222,1),(223,1),(224,1),(228,1),(240,1),(241,1)}
       235:{1,4,5}:{(224,1),(225,1),(229,1),(241,1)}
       236:{1,4}:{(226,1),(227,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(232,1),(242,1)}
       239:{1,4,7}:{(231,1),(233,1),(236,1),(242,1)}
       240:{2,4,6}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       241:{1,3,5}:{(234,1),(235,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2462 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2463 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2464 :   0:{1,2,3,6,7}:{(2,1),(3,1),(51,1),(96,1),(117,1),(183,1),(420,1),(423,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(17,1),(19,1),(51,1),(58,1),(101,1),(183,1),(302,1),(312,1),(313,1),(418,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(8,1),(29,1),(89,1),(372,1),(373,1),(466,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(8,1),(30,1),(139,1),(163,1),(241,1),(248,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(9,1),(10,1),(85,1),(144,1),(465,1)}
         5:{1,2,3,6,7}:{(11,1),(12,1),(48,1),(99,1),(108,1),(192,1),(337,1),(533,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(15,1),(46,1),(51,1),(97,1),(191,1),(301,1),(307,1),(420,1),(501,1)}
         7:{1,2,4,7}:{(2,1),(4,1),(15,1),(125,1),(501,1)}
         8:{1,2,5,7}:{(3,1),(14,1),(17,1),(216,1),(302,1)}
         9:{1,3,4,6}:{(4,1),(15,1),(18,1),(19,1),(51,1),(195,1),(313,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(54,1),(302,1),(417,1)}
        11:{1,2,3,5,7}:{(5,1),(21,1),(23,1),(24,1),(65,1),(238,1),(392,1),(515,1),(516,1)}
        12:{1,2,4,6,7}:{(5,1),(22,1),(23,1),(24,1),(66,1),(77,1),(157,1),(164,1),(247,1)}
        13:{2,3,4,6,7}:{(6,1),(22,1),(25,1),(28,1),(64,1),(69,1),(79,1),(141,1),(149,1),(163,1),(247,1),(258,1),(382,1),(476,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(25,1),(26,1),(27,1),(363,1),(365,1)}
        15:{1,3,4,7}:{(7,1),(9,1),(28,1),(29,1),(373,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(26,1),(29,1),(30,1),(74,1)}
        17:{1,2,5,6}:{(8,1),(27,1),(30,1),(158,1),(248,1)}
        18:{2,3,4,6}:{(9,1),(28,1),(34,1),(35,1),(79,1),(85,1),(151,1),(269,1)}
        19:{1,3,5}:{(9,1),(10,1),(35,1)}
        20:{1,2,4,5,6}:{(10,1),(30,1),(36,1),(37,1),(72,1),(85,1),(158,1),(170,1),(254,1),(267,1),(364,1),(375,1),(465,1)}
        21:{1,2,3,5,6}:{(11,1),(38,1),(42,1),(91,1),(99,1),(108,1),(181,1),(214,1),(286,1),(335,1),(485,1),(486,1)}
        22:{1,3,4,6,7}:{(12,1),(13,1),(39,1),(40,1),(49,1),(94,1),(99,1),(116,1),(213,1),(219,1),(337,1),(440,1)}
        23:{1,2,4,7}:{(11,1),(38,1),(40,1),(296,1),(440,1)}
        24:{1,2,5,7}:{(12,1),(39,1),(42,1),(214,1),(304,1)}
        25:{2,3,5,7}:{(13,1),(14,1),(39,1),(43,1),(44,1),(200,1),(216,1),(304,1),(320,1)}
        26:{1,4,5,7}:{(14,1),(43,1),(46,1),(417,1),(501,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(44,1),(46,1),(51,1),(191,1),(303,1)}
        28:{2,3,4,7}:{(15,1),(18,1),(49,1),(50,1),(125,1),(330,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(51,1),(113,1)}
        31:{1,2,5,6,7}:{(17,1),(47,1),(52,1),(216,1),(308,1),(333,1),(419,1),(432,1)}
        32:{1,3,4,5}:{(19,1),(54,1),(55,1),(417,1),(427,1)}
        33:{1,2,3,6}:{(48,1),(53,1),(56,1),(227,1)}
        34:{1,3,4,6}:{(18,1),(49,1),(56,1),(57,1),(116,1),(122,1),(124,1),(227,1)}
        35:{2,3,5}:{(18,1),(19,1),(54,1),(57,1)}
        36:{1,3,5,6}:{(19,1),(20,1),(51,1),(55,1),(58,1),(59,1),(313,1),(428,1)}
        37:{1,2,4,5,7}:{(20,1),(52,1),(59,1),(110,1),(125,1),(216,1),(226,1),(314,1),(329,1),(419,1),(429,1),(501,1)}
        38:{1,2,4,6}:{(21,1),(23,1),(60,1),(61,1),(234,1),(344,1),(391,1)}
        39:{1,3,5,7}:{(22,1),(24,1),(25,1),(62,1),(63,1),(274,1),(276,1)}
        40:{1,3,4,7}:{(23,1),(60,1),(64,1),(65,1),(516,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(61,1),(62,1),(65,1),(66,1),(136,1)}
        42:{1,2,5,6}:{(24,1),(63,1),(66,1),(164,1),(242,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(62,1),(68,1),(69,1),(379,1),(476,1)}
        44:{2,3,5,6}:{(25,1),(27,1),(63,1),(69,1),(79,1),(141,1),(145,1),(158,1),(242,1)}
        45:{1,3,4,5,7}:{(26,1),(29,1),(32,1),(68,1),(74,1),(75,1),(86,1),(159,1)}
        46:{1,4,6}:{(26,1),(27,1),(69,1)}
        47:{1,3,5,6,7}:{(27,1),(31,1),(70,1),(76,1),(80,1),(159,1),(249,1),(365,1),(466,1)}
        48:{1,2,3,7}:{(33,1),(77,1),(285,1)}
        49:{1,3,4,7}:{(28,1),(34,1),(77,1),(78,1),(174,1),(285,1)}
        50:{2,3,5,7}:{(28,1),(29,1),(35,1),(74,1),(78,1),(79,1)}
        51:{1,3,6}:{(29,1),(30,1),(79,1)}
        52:{1,2,4,6,7}:{(30,1),(31,1),(37,1),(76,1),(80,1),(163,1),(281,1),(385,1),(471,1)}
        53:{1,2,3,5}:{(33,1),(83,1),(87,1),(172,1)}
        54:{2,4,5}:{(32,1),(35,1),(84,1),(85,1)}
        55:{1,3,4,6}:{(32,1),(36,1),(85,1),(86,1),(465,1),(472,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(77,1),(83,1),(87,1),(164,1)}
        57:{1,3,5}:{(34,1),(35,1),(84,1),(87,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(79,1),(85,1),(88,1),(89,1),(158,1),(267,1),(269,1)}
        59:{1,3,5,7}:{(36,1),(37,1),(80,1),(86,1),(89,1),(373,1),(473,1)}
        60:{1,3,4,6}:{(38,1),(40,1),(90,1),(91,1),(99,1),(398,1),(486,1)}
        61:{1,2,4,5}:{(38,1),(91,1),(177,1),(214,1),(334,1)}
        62:{1,4,5,7}:{(39,1),(43,1),(94,1),(334,1),(440,1)}
        63:{1,3,5,6}:{(39,1),(42,1),(44,1),(94,1),(99,1),(116,1),(215,1)}
        64:{2,3,4,7}:{(40,1),(90,1),(97,1),(98,1),(296,1),(493,1)}
        65:{1,3,5,7}:{(40,1),(41,1),(91,1),(98,1),(99,1)}
        66:{1,2,4,6}:{(41,1),(42,1),(94,1),(99,1),(188,1)}
        67:{1,2,5,6,7}:{(42,1),(95,1),(100,1),(220,1),(304,1),(336,1),(416,1),(432,1)}
        68:{3,4,5,7}:{(43,1),(104,1),(200,1),(427,1),(506,1)}
        69:{2,4,6}:{(43,1),(44,1),(46,1),(94,1),(104,1)}
        70:{2,3,5,6,7}:{(44,1),(47,1),(95,1),(105,1),(117,1),(192,1),(200,1),(216,1),(304,1),(432,1),(434,1),(505,1)}
        71:{2,3,4,5}:{(54,1),(106,1),(107,1),(208,1),(327,1),(427,1)}
        72:{1,4,5,6}:{(46,1),(102,1),(109,1),(110,1),(303,1)}
        73:{1,2,3,5,7}:{(48,1),(53,1),(108,1),(111,1),(115,1),(214,1),(217,1),(286,1),(396,1),(483,1)}
        74:{2,4,5,7}:{(45,1),(50,1),(54,1),(112,1),(113,1),(125,1),(216,1)}
        75:{1,3,4,6}:{(45,1),(46,1),(51,1),(104,1),(109,1),(113,1)}
        76:{1,4,6,7}:{(46,1),(47,1),(105,1),(110,1),(501,1)}
        77:{1,2,4,7}:{(48,1),(49,1),(56,1),(115,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(57,1),(112,1),(115,1),(116,1)}
        79:{2,3,6}:{(50,1),(51,1),(113,1),(116,1)}
        80:{1,3,6,7}:{(51,1),(52,1),(59,1),(117,1),(505,1)}
        81:{1,2,3,5,6}:{(53,1),(108,1),(118,1),(119,1),(126,1),(214,1),(224,1),(227,1),(328,1),(332,1),(335,1),(339,1)}
        82:{1,3,4,5,6}:{(55,1),(109,1),(120,1),(121,1),(197,1),(206,1),(316,1),(341,1),(428,1),(441,1)}
        83:{1,2,4}:{(53,1),(122,1)}
        84:{1,4,5}:{(54,1),(57,1),(124,1)}
        85:{2,4,6}:{(54,1),(55,1),(58,1),(124,1),(125,1)}
        86:{1,3,4,7}:{(55,1),(59,1),(125,1),(501,1),(506,1)}
        87:{1,2,5}:{(56,1),(57,1)}
        88:{1,3,5,6}:{(57,1),(58,1),(116,1),(124,1),(126,1),(127,1),(215,1),(227,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(117,1),(125,1),(127,1),(216,1),(329,1),(330,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(130,1),(131,1),(141,1),(234,1),(346,1),(453,1)}
        91:{1,3,5}:{(60,1),(61,1),(131,1)}
        92:{1,2,4,5,6}:{(61,1),(66,1),(132,1),(133,1),(134,1),(234,1),(242,1),(275,1),(354,1),(375,1),(391,1),(447,1),(451,1)}
        93:{1,3,4,5,7}:{(62,1),(65,1),(68,1),(128,1),(136,1),(137,1),(235,1),(243,1)}
        94:{1,4,6}:{(62,1),(63,1),(69,1)}
        95:{1,3,5,6,7}:{(63,1),(67,1),(70,1),(138,1),(142,1),(165,1),(243,1),(276,1),(392,1)}
        96:{1,2,3,7}:{(129,1),(139,1),(461,1)}
        97:{1,3,4,7}:{(64,1),(130,1),(139,1),(140,1),(358,1),(461,1)}
        98:{2,3,5,7}:{(64,1),(65,1),(131,1),(136,1),(140,1),(141,1)}
        99:{1,3,6}:{(65,1),(66,1),(141,1)}
       100:{1,2,4,6,7}:{(66,1),(67,1),(133,1),(138,1),(142,1),(247,1),(457,1),(471,1),(519,1)}
       101:{1,2,3,5}:{(143,1),(144,1),(252,1),(253,1)}
       102:{2,4,5,6}:{(69,1),(72,1),(134,1),(145,1),(146,1),(158,1),(242,1)}
       103:{2,3,4,5,7}:{(68,1),(71,1),(74,1),(136,1),(147,1),(148,1),(154,1),(229,1),(260,1),(261,1),(349,1),(379,1),(383,1),(470,1),(476,1),(517,1)}
       104:{3,4,6}:{(68,1),(69,1),(145,1)}
       105:{2,4,6,7}:{(69,1),(70,1),(76,1),(138,1),(146,1),(149,1),(476,1)}
       106:{1,3,4,5}:{(71,1),(84,1),(152,1),(153,1),(172,1),(253,1),(370,1)}
       107:{2,3,4,6}:{(71,1),(85,1),(150,1),(153,1),(154,1),(269,1),(386,1),(472,1)}
       108:{1,2,3,6}:{(73,1),(157,1),(164,1),(277,1),(512,1)}
       109:{1,3,5,6}:{(72,1),(75,1),(145,1),(158,1),(159,1)}
       110:{1,4,5,7}:{(72,1),(76,1),(146,1),(159,1),(365,1)}
       111:{1,2,4,7}:{(73,1),(83,1),(157,1),(160,1),(344,1)}
       112:{1,4,5,7}:{(74,1),(78,1),(84,1),(162,1),(174,1),(276,1)}
       113:{2,4,6}:{(74,1),(75,1),(79,1),(158,1),(162,1)}
       114:{1,3,4,6,7}:{(75,1),(76,1),(80,1),(86,1),(149,1),(159,1),(163,1)}
       115:{1,2,5,7}:{(77,1),(78,1),(87,1),(164,1)}
       116:{1,3,6}:{(78,1),(79,1),(162,1),(164,1)}
       117:{2,3,6,7}:{(79,1),(80,1),(89,1),(163,1),(165,1),(385,1)}
       118:{1,2,3,5,7}:{(81,1),(155,1),(166,1),(175,1),(272,1),(279,1),(285,1),(387,1),(392,1)}
       119:{1,2,4,6}:{(81,1),(83,1),(166,1),(168,1),(169,1),(386,1),(391,1)}
       120:{2,4,5,6}:{(82,1),(85,1),(150,1),(158,1),(170,1),(171,1),(267,1),(386,1),(477,1)}
       121:{1,3,4,5,7}:{(82,1),(86,1),(159,1),(167,1),(171,1),(256,1),(268,1),(376,1),(395,1),(473,1),(481,1)}
       122:{1,3,4}:{(83,1),(151,1),(172,1)}
       123:{1,2,4,5}:{(83,1),(84,1),(87,1),(152,1),(172,1),(173,1)}
       124:{1,4,6}:{(84,1),(85,1),(88,1),(174,1)}
       125:{2,4,7}:{(85,1),(86,1),(89,1),(174,1)}
       126:{1,2,5,6}:{(87,1),(88,1),(164,1),(173,1),(175,1),(267,1)}
       127:{1,3,5,7}:{(88,1),(89,1),(165,1),(174,1),(175,1),(276,1),(285,1)}
       128:{1,3,4,5}:{(91,1),(177,1),(178,1),(334,1),(427,1)}
       129:{1,2,3,6}:{(96,1),(176,1),(179,1),(412,1)}
       130:{1,3,4,6}:{(90,1),(97,1),(179,1),(180,1),(191,1),(293,1),(295,1),(412,1)}
       131:{2,3,5}:{(90,1),(91,1),(177,1),(180,1)}
       132:{1,3,5,6}:{(91,1),(92,1),(99,1),(178,1),(181,1),(182,1),(428,1),(486,1)}
       133:{1,2,4,5,7}:{(92,1),(100,1),(182,1),(185,1),(296,1),(304,1),(336,1),(411,1),(429,1),(440,1),(487,1),(492,1)}
       134:{1,4,5,6}:{(94,1),(102,1),(184,1),(185,1),(215,1)}
       135:{1,2,3,5,7}:{(96,1),(101,1),(176,1),(183,1),(186,1),(190,1),(193,1),(302,1),(305,1),(310,1)}
       136:{2,4,5,7}:{(93,1),(98,1),(177,1),(187,1),(188,1),(296,1),(304,1)}
       137:{1,3,4,6}:{(93,1),(94,1),(99,1),(104,1),(184,1),(188,1)}
       138:{1,4,6,7}:{(94,1),(95,1),(105,1),(185,1),(440,1)}
       139:{1,2,4,7}:{(96,1),(97,1),(179,1),(190,1)}
       140:{1,3,5,7}:{(97,1),(98,1),(180,1),(187,1),(190,1),(191,1)}
       141:{2,3,6}:{(98,1),(99,1),(188,1),(191,1)}
       142:{1,3,6,7}:{(99,1),(100,1),(182,1),(192,1),(505,1)}
       143:{1,2,3,6}:{(101,1),(193,1),(194,1),(313,1)}
       144:{1,2,4}:{(101,1),(195,1)}
       145:{3,5,6}:{(102,1),(104,1),(200,1)}
       146:{2,4,5,7}:{(102,1),(105,1),(110,1),(185,1),(200,1),(216,1),(304,1)}
       147:{1,3,4,5,7}:{(103,1),(106,1),(112,1),(187,1),(202,1),(203,1),(210,1),(217,1),(287,1),(305,1),(322,1),(334,1),(405,1),(417,1),(421,1),(427,1),(440,1),(501,1),(506,1),(531,1)}
       148:{2,3,4,6}:{(103,1),(104,1),(113,1),(188,1),(199,1),(203,1),(323,1),(433,1),(435,1),(504,1),(536,1)}
       149:{3,4,6,7}:{(104,1),(105,1),(200,1),(505,1),(506,1)}
       150:{2,3,5,6}:{(107,1),(120,1),(206,1),(207,1),(428,1)}
       151:{2,3,4}:{(122,1),(195,1),(208,1)}
       152:{2,4,5}:{(106,1),(208,1),(209,1)}
       153:{1,3,4,6}:{(106,1),(107,1),(124,1),(206,1),(209,1),(210,1),(227,1),(313,1),(424,1)}
       154:{2,3,4,7}:{(107,1),(125,1),(207,1),(210,1),(330,1),(437,1),(506,1)}
       155:{1,2,3,6,7}:{(108,1),(118,1),(211,1),(220,1),(337,1),(339,1),(396,1),(436,1)}
       156:{1,4,5,6,7}:{(110,1),(198,1),(212,1),(416,1),(426,1),(510,1)}
       157:{1,2,4,6}:{(108,1),(111,1),(213,1),(214,1)}
       158:{2,5,6}:{(109,1),(113,1),(215,1),(216,1)}
       159:{1,3,5,7}:{(109,1),(110,1),(114,1),(200,1),(216,1)}
       160:{1,3,4,7}:{(111,1),(122,1),(201,1),(213,1),(217,1),(398,1),(440,1)}
       161:{1,2,4,5,7}:{(111,1),(112,1),(115,1),(123,1),(202,1),(214,1),(217,1),(218,1),(228,1),(334,1),(336,1),(399,1),(440,1),(483,1),(487,1),(531,1)}
       162:{1,4,6}:{(112,1),(113,1),(116,1),(215,1)}
       163:{2,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(216,1),(219,1)}
       164:{1,2,6}:{(115,1),(116,1)}
       165:{1,3,6,7}:{(116,1),(117,1),(127,1),(219,1),(220,1)}
       166:{1,2,4,7}:{(118,1),(119,1),(221,1),(437,1),(440,1)}
       167:{1,3,4,6,7}:{(121,1),(212,1),(223,1),(315,1),(326,1),(426,1),(505,1)}
       168:{1,3,4,6}:{(119,1),(122,1),(205,1),(221,1),(224,1),(227,1),(339,1)}
       169:{1,2,4,5}:{(119,1),(214,1),(224,1),(327,1),(334,1)}
       170:{1,4,5,6}:{(120,1),(124,1),(206,1),(215,1),(226,1),(424,1),(502,1)}
       171:{2,4,5,7}:{(120,1),(121,1),(125,1),(207,1),(216,1),(223,1),(226,1),(329,1),(437,1),(509,1)}
       172:{1,3,5}:{(122,1),(123,1),(208,1),(227,1)}
       173:{1,2,4,6}:{(123,1),(124,1),(126,1),(209,1),(227,1),(228,1)}
       174:{1,4,7}:{(124,1),(125,1),(127,1)}
       175:{1,2,5,7}:{(126,1),(127,1),(220,1),(228,1),(329,1)}
       176:{1,2,3,5}:{(129,1),(232,1),(236,1),(356,1)}
       177:{2,4,5}:{(128,1),(131,1),(233,1),(234,1)}
       178:{1,3,4,6}:{(128,1),(132,1),(234,1),(235,1),(391,1),(472,1)}
       179:{1,2,4,6}:{(129,1),(130,1),(139,1),(232,1),(236,1),(248,1)}
       180:{1,3,5}:{(130,1),(131,1),(233,1),(236,1)}
       181:{2,3,5,6}:{(131,1),(132,1),(141,1),(234,1),(237,1),(238,1),(242,1),(451,1),(453,1)}
       182:{1,3,5,7}:{(132,1),(133,1),(142,1),(235,1),(238,1),(473,1),(516,1)}
       183:{1,2,3,6}:{(135,1),(241,1),(248,1),(366,1),(369,1)}
       184:{1,3,5,6}:{(134,1),(137,1),(145,1),(242,1),(243,1)}
       185:{1,4,5,7}:{(134,1),(138,1),(146,1),(243,1),(276,1)}
       186:{1,2,4,7}:{(135,1),(144,1),(232,1),(241,1),(244,1)}
       187:{1,4,5,7}:{(136,1),(140,1),(233,1),(246,1),(358,1),(365,1)}
       188:{2,4,6}:{(136,1),(137,1),(141,1),(242,1),(246,1)}
       189:{1,3,4,6,7}:{(137,1),(138,1),(142,1),(149,1),(235,1),(243,1),(247,1)}
       190:{1,2,5,7}:{(139,1),(140,1),(236,1),(248,1)}
       191:{1,3,6}:{(140,1),(141,1),(246,1),(248,1)}
       192:{2,3,6,7}:{(141,1),(142,1),(238,1),(247,1),(249,1),(519,1)}
       193:{1,2,3,7}:{(143,1),(250,1),(373,1)}
       194:{1,2,4,6}:{(143,1),(144,1),(250,1),(251,1),(252,1),(369,1)}
       195:{1,3,4}:{(144,1),(151,1),(253,1)}
       196:{1,2,4,5}:{(144,1),(152,1),(252,1),(253,1),(254,1),(370,1)}
       197:{3,4,5,6}:{(145,1),(255,1),(256,1),(472,1),(528,1)}
       198:{2,4,5,6,7}:{(146,1),(156,1),(240,1),(257,1),(273,1),(362,1),(374,1),(471,1),(530,1)}
       199:{2,3,5,6}:{(145,1),(148,1),(158,1),(242,1),(255,1),(259,1),(260,1),(477,1),(528,1),(546,1)}
       200:{3,5,7}:{(145,1),(146,1),(149,1)}
       201:{2,3,4,7}:{(151,1),(160,1),(244,1),(258,1),(261,1),(346,1),(476,1)}
       202:{2,4,5,7}:{(147,1),(152,1),(261,1),(262,1),(270,1),(347,1),(379,1),(381,1),(454,1),(476,1)}
       203:{1,3,4,6}:{(147,1),(148,1),(162,1),(246,1),(259,1),(262,1),(277,1),(366,1),(391,1),(465,1),(467,1),(472,1),(543,1)}
       204:{2,3,4,6,7}:{(148,1),(149,1),(154,1),(163,1),(247,1),(260,1),(263,1),(265,1),(349,1),(374,1),(382,1),(449,1),(476,1),(478,1),(529,1),(547,1)}
       205:{2,3,4,6}:{(151,1),(168,1),(251,1),(264,1),(266,1),(269,1),(384,1),(386,1)}
       206:{1,3,5,6}:{(150,1),(153,1),(170,1),(267,1),(268,1)}
       207:{2,3,5,7}:{(150,1),(154,1),(171,1),(265,1),(268,1),(473,1)}
       208:{2,3,5}:{(151,1),(152,1),(172,1),(253,1),(269,1)}
       209:{2,4,6}:{(152,1),(153,1),(267,1),(269,1),(270,1)}
       210:{1,3,4,7}:{(153,1),(154,1),(174,1),(268,1),(270,1),(285,1),(373,1),(469,1)}
       211:{1,2,4,6,7}:{(155,1),(157,1),(166,1),(271,1),(272,1),(280,1),(443,1),(478,1),(512,1)}
       212:{1,3,5,6,7}:{(156,1),(159,1),(167,1),(257,1),(273,1),(481,1)}
       213:{1,3,4,6}:{(157,1),(160,1),(258,1),(274,1),(277,1),(391,1)}
       214:{1,2,5}:{(157,1),(274,1)}
       215:{1,5,6}:{(158,1),(162,1),(276,1)}
       216:{2,5,7}:{(158,1),(159,1),(163,1),(276,1)}
       217:{1,3,5,7}:{(160,1),(161,1),(172,1),(261,1),(274,1),(277,1),(285,1),(446,1),(516,1)}
       218:{1,2,4,6}:{(161,1),(162,1),(164,1),(262,1),(275,1),(277,1),(391,1),(512,1),(543,1)}
       219:{1,4,6,7}:{(162,1),(163,1),(165,1),(174,1),(276,1)}
       220:{1,2,6,7}:{(164,1),(165,1),(175,1),(385,1)}
       221:{1,3,4,7}:{(166,1),(168,1),(264,1),(279,1),(285,1)}
       222:{1,2,4,5,7}:{(166,1),(169,1),(272,1),(279,1),(280,1),(383,1),(388,1)}
       223:{2,4,6,7}:{(167,1),(171,1),(265,1),(273,1),(281,1),(385,1)}
       224:{1,3,5}:{(168,1),(169,1),(266,1)}
       225:{1,2,4,5,6}:{(169,1),(170,1),(173,1),(267,1),(275,1),(280,1),(283,1),(284,1),(375,1),(386,1),(391,1),(477,1),(479,1)}
       226:{1,4,5,7}:{(170,1),(171,1),(174,1),(268,1),(276,1),(281,1),(469,1),(527,1)}
       227:{1,3,6}:{(172,1),(173,1),(269,1),(285,1)}
       228:{1,2,4,7}:{(173,1),(174,1),(175,1),(270,1),(285,1)}
       229:{2,3,4,5}:{(177,1),(287,1),(288,1),(403,1),(427,1),(490,1)}
       230:{1,2,3,5,6}:{(176,1),(183,1),(289,1),(290,1),(297,1),(302,1),(409,1),(412,1),(415,1),(418,1),(491,1),(495,1)}
       231:{1,3,4,5,6}:{(178,1),(184,1),(197,1),(291,1),(292,1),(316,1),(401,1),(428,1),(497,1),(539,1)}
       232:{1,2,4}:{(176,1),(293,1)}
       233:{1,4,5}:{(177,1),(180,1),(295,1)}
       234:{2,4,6}:{(177,1),(178,1),(181,1),(295,1),(296,1)}
       235:{1,3,4,7}:{(178,1),(182,1),(296,1),(440,1),(506,1)}
       236:{1,2,5}:{(179,1),(180,1)}
       237:{1,3,5,6}:{(180,1),(181,1),(191,1),(295,1),(297,1),(298,1),(303,1),(412,1)}
       238:{2,3,5,7}:{(181,1),(182,1),(192,1),(296,1),(298,1),(304,1),(492,1),(493,1)}
       239:{1,2,3,6,7}:{(183,1),(193,1),(289,1),(299,1),(308,1),(420,1),(495,1),(537,1)}
       240:{1,4,5,6,7}:{(185,1),(198,1),(300,1),(333,1),(426,1),(541,1)}
       241:{1,2,4,6}:{(183,1),(186,1),(301,1),(302,1)}
       242:{2,5,6}:{(184,1),(188,1),(303,1),(304,1)}
       243:{1,3,5,7}:{(184,1),(185,1),(189,1),(200,1),(304,1)}
       244:{1,3,4,7}:{(186,1),(195,1),(201,1),(293,1),(301,1),(305,1),(501,1)}
       245:{1,2,4,5,7}:{(186,1),(187,1),(190,1),(196,1),(202,1),(294,1),(302,1),(305,1),(306,1),(310,1),(314,1),(413,1),(417,1),(419,1),(421,1),(501,1)}
       246:{1,4,6}:{(187,1),(188,1),(191,1),(303,1)}
       247:{2,4,6,7}:{(188,1),(189,1),(192,1),(296,1),(304,1),(307,1)}
       248:{1,2,6}:{(190,1),(191,1)}
       249:{1,3,6,7}:{(191,1),(192,1),(298,1),(307,1),(308,1)}
       250:{1,2,4,7}:{(193,1),(194,1),(309,1),(310,1)}
       251:{1,3,4,6}:{(194,1),(195,1),(205,1),(309,1),(311,1),(313,1),(422,1),(424,1)}
       252:{1,2,5}:{(194,1),(311,1)}
       253:{1,3,5}:{(195,1),(196,1),(208,1),(313,1)}
       254:{1,2,4,6}:{(196,1),(209,1),(312,1),(313,1),(314,1),(424,1)}
       255:{2,4,5,6}:{(197,1),(199,1),(316,1),(317,1),(433,1)}
       256:{3,4,5,7}:{(197,1),(200,1),(315,1),(317,1),(506,1),(542,1)}
       257:{3,5,6,7}:{(198,1),(200,1),(315,1),(505,1),(542,1)}
       258:{2,3,4,6}:{(201,1),(213,1),(301,1),(320,1),(323,1),(433,1)}
       259:{1,3,5,6}:{(199,1),(203,1),(215,1),(303,1),(316,1),(321,1),(322,1),(428,1),(502,1),(549,1)}
       260:{2,3,5,7}:{(199,1),(200,1),(204,1),(216,1),(304,1),(317,1),(322,1),(509,1),(542,1),(551,1)}
       261:{2,3,5,7}:{(201,1),(202,1),(208,1),(217,1),(305,1),(320,1),(323,1),(330,1),(403,1),(493,1)}
       262:{2,4,6}:{(202,1),(203,1),(321,1),(323,1)}
       263:{1,3,4,6,7}:{(203,1),(204,1),(210,1),(219,1),(307,1),(322,1),(324,1),(326,1),(337,1),(405,1),(420,1),(426,1),(440,1),(489,1),(501,1),(503,1),(505,1),(506,1),(550,1)}
       264:{2,3,4,7}:{(205,1),(221,1),(309,1),(325,1),(330,1),(437,1)}
       265:{2,3,6,7}:{(207,1),(223,1),(326,1),(505,1)}
       266:{2,3,5}:{(205,1),(224,1),(311,1),(327,1)}
       267:{2,5,6}:{(206,1),(209,1),(329,1)}
       268:{1,3,5,7}:{(206,1),(207,1),(210,1),(226,1),(326,1),(329,1)}
       269:{2,3,6}:{(208,1),(209,1),(227,1),(313,1),(330,1)}
       270:{2,4,7}:{(209,1),(210,1),(329,1),(330,1)}
       271:{1,3,4,6,7}:{(211,1),(213,1),(221,1),(318,1),(331,1),(337,1),(339,1),(438,1),(440,1),(482,1),(532,1),(550,1)}
       272:{1,2,5,7}:{(211,1),(214,1),(331,1),(332,1),(509,1)}
       273:{2,5,6,7}:{(212,1),(216,1),(223,1),(333,1),(509,1)}
       274:{1,3,5}:{(213,1),(214,1),(320,1),(334,1)}
       275:{1,2,5,6}:{(214,1),(215,1),(218,1),(321,1),(335,1),(336,1),(549,1)}
       276:{1,5,7}:{(215,1),(216,1),(219,1)}
       277:{1,3,6}:{(217,1),(218,1),(323,1)}
       278:{1,2,4,6,7}:{(218,1),(219,1),(220,1),(228,1),(324,1),(336,1),(337,1),(440,1),(487,1),(533,1),(550,1)}
       279:{1,3,5,7}:{(221,1),(222,1),(224,1),(325,1),(339,1)}
       280:{1,2,4,6}:{(222,1),(332,1),(339,1),(435,1),(438,1)}
       281:{1,4,6,7}:{(223,1),(226,1),(326,1),(333,1)}
       282:{1,3,4,5}:{(224,1),(327,1),(334,1),(341,1),(427,1)}
       283:{1,3,5,6}:{(224,1),(225,1),(227,1),(328,1),(339,1),(341,1),(342,1),(428,1)}
       284:{1,2,4,5,7}:{(225,1),(226,1),(228,1),(329,1),(336,1),(340,1),(342,1),(429,1),(437,1),(440,1),(509,1),(510,1)}
       285:{1,3,7}:{(227,1),(228,1),(330,1)}
       286:{1,2,3,5}:{(343,1),(344,1),(445,1),(446,1)}
       287:{1,3,4,5}:{(229,1),(233,1),(347,1),(348,1),(356,1),(446,1),(513,1)}
       288:{2,3,4,6}:{(229,1),(234,1),(345,1),(348,1),(349,1),(453,1),(472,1),(520,1)}
       289:{1,2,3,5,7}:{(230,1),(239,1),(350,1),(359,1),(361,1),(455,1),(461,1),(466,1),(521,1)}
       290:{1,2,4,6}:{(230,1),(232,1),(350,1),(352,1),(353,1),(465,1),(520,1)}
       291:{2,4,5,6}:{(231,1),(234,1),(242,1),(345,1),(354,1),(355,1),(451,1),(520,1),(546,1)}
       292:{1,3,4,5,7}:{(231,1),(235,1),(243,1),(256,1),(351,1),(355,1),(376,1),(452,1),(473,1),(524,1),(548,1)}
       293:{1,3,4}:{(232,1),(346,1),(356,1)}
       294:{1,2,4,5}:{(232,1),(233,1),(236,1),(347,1),(356,1),(357,1)}
       295:{1,4,6}:{(233,1),(234,1),(237,1),(358,1)}
       296:{2,4,7}:{(234,1),(235,1),(238,1),(358,1)}
       297:{1,2,5,6}:{(236,1),(237,1),(248,1),(357,1),(359,1),(451,1)}
       298:{1,3,5,7}:{(237,1),(238,1),(249,1),(358,1),(359,1),(365,1),(461,1)}
       299:{1,2,4,6,7}:{(239,1),(241,1),(250,1),(350,1),(360,1),(361,1),(369,1),(456,1),(547,1)}
       300:{1,3,5,6,7}:{(240,1),(243,1),(257,1),(351,1),(362,1),(548,1)}
       301:{1,3,4,6}:{(241,1),(244,1),(258,1),(363,1),(366,1),(465,1)}
       302:{1,2,5}:{(241,1),(363,1)}
       303:{1,5,6}:{(242,1),(246,1),(365,1)}
       304:{2,5,7}:{(242,1),(243,1),(247,1),(365,1)}
       305:{1,3,5,7}:{(244,1),(245,1),(253,1),(261,1),(356,1),(363,1),(366,1),(373,1),(461,1)}
       306:{1,2,4,6}:{(245,1),(246,1),(248,1),(262,1),(364,1),(366,1),(369,1),(465,1),(467,1)}
       307:{1,4,6,7}:{(246,1),(247,1),(249,1),(358,1),(365,1)}
       308:{1,2,6,7}:{(248,1),(249,1),(359,1),(519,1)}
       309:{1,3,4,7}:{(250,1),(251,1),(264,1),(368,1),(373,1),(469,1)}
       310:{1,2,5,7}:{(250,1),(252,1),(368,1),(369,1)}
       311:{1,3,5}:{(251,1),(252,1),(266,1),(370,1)}
       312:{1,2,5,6}:{(252,1),(254,1),(267,1),(369,1),(371,1),(372,1)}
       313:{1,3,6}:{(253,1),(254,1),(269,1),(373,1)}
       314:{1,2,4,7}:{(254,1),(270,1),(372,1),(373,1),(469,1)}
       315:{3,4,6,7}:{(256,1),(257,1),(374,1)}
       316:{1,4,5,6}:{(255,1),(259,1),(375,1),(376,1),(391,1),(465,1)}
       317:{2,4,5,7}:{(255,1),(256,1),(260,1),(374,1),(376,1),(476,1)}
       318:{2,3,4,6,7}:{(258,1),(264,1),(271,1),(360,1),(377,1),(382,1),(384,1),(448,1),(474,1),(476,1),(478,1),(518,1),(529,1),(547,1)}
       319:{2,3,5,6,7}:{(257,1),(260,1),(265,1),(273,1),(362,1),(374,1),(378,1),(449,1)}
       320:{2,3,5}:{(258,1),(274,1),(363,1),(379,1)}
       321:{2,5,6}:{(259,1),(262,1),(381,1)}
       322:{1,3,5,7}:{(259,1),(260,1),(263,1),(276,1),(365,1),(376,1),(381,1),(473,1),(527,1),(552,1)}
       323:{2,3,6}:{(261,1),(262,1),(277,1),(366,1)}
       324:{2,4,6,7}:{(262,1),(263,1),(270,1),(381,1),(382,1),(385,1),(454,1),(476,1),(519,1)}
       325:{2,3,5,7}:{(264,1),(266,1),(279,1),(368,1),(383,1),(384,1)}
       326:{1,3,6,7}:{(265,1),(268,1),(281,1),(385,1)}
       327:{2,4,5}:{(266,1),(282,1),(370,1),(386,1)}
       328:{2,3,5,6}:{(266,1),(267,1),(269,1),(283,1),(371,1),(384,1),(386,1),(387,1),(477,1)}
       329:{2,5,7}:{(267,1),(268,1),(270,1),(385,1)}
       330:{2,3,7}:{(269,1),(270,1),(285,1),(373,1)}
       331:{1,3,5,7}:{(271,1),(272,1),(274,1),(377,1),(388,1),(389,1),(552,1)}
       332:{1,2,5,6}:{(272,1),(280,1),(389,1),(477,1),(512,1)}
       333:{1,5,6,7}:{(273,1),(276,1),(281,1),(527,1)}
       334:{1,4,5}:{(274,1),(379,1),(391,1)}
       335:{1,3,5,6}:{(274,1),(275,1),(277,1),(380,1),(391,1),(392,1)}
       336:{1,2,5,7}:{(275,1),(276,1),(278,1),(381,1),(392,1),(552,1)}
       337:{1,3,6,7}:{(277,1),(278,1),(285,1),(382,1),(392,1),(516,1)}
       338:{1,3,4,5,7}:{(279,1),(282,1),(383,1),(388,1),(393,1),(395,1),(470,1),(481,1)}
       339:{1,3,6}:{(279,1),(280,1),(384,1)}
       340:{1,2,4,6,7}:{(280,1),(281,1),(284,1),(385,1),(390,1),(394,1),(471,1),(478,1),(480,1)}
       341:{1,3,4,6}:{(282,1),(283,1),(386,1),(391,1),(395,1),(472,1)}
       342:{1,3,5,7}:{(283,1),(284,1),(285,1),(387,1),(394,1),(395,1),(473,1)}
       343:{1,2,3,6}:{(286,1),(396,1),(397,1),(486,1)}
       344:{1,2,4}:{(286,1),(398,1)}
       345:{2,3,5,6}:{(288,1),(291,1),(401,1),(402,1),(428,1)}
       346:{2,3,4}:{(293,1),(398,1),(403,1)}
       347:{2,4,5}:{(287,1),(403,1),(404,1)}
       348:{1,3,4,6}:{(287,1),(288,1),(295,1),(401,1),(404,1),(405,1),(412,1),(486,1),(534,1)}
       349:{2,3,4,7}:{(288,1),(296,1),(402,1),(405,1),(493,1),(506,1),(538,1)}
       350:{1,2,4,7}:{(289,1),(290,1),(406,1),(501,1),(538,1)}
       351:{1,3,4,6,7}:{(292,1),(300,1),(315,1),(408,1),(426,1),(489,1),(505,1)}
       352:{1,3,4,6}:{(290,1),(293,1),(400,1),(406,1),(409,1),(412,1),(495,1)}
       353:{1,2,4,5}:{(290,1),(302,1),(409,1),(417,1),(490,1)}
       354:{1,4,5,6}:{(291,1),(295,1),(303,1),(401,1),(411,1),(534,1),(549,1)}
       355:{2,4,5,7}:{(291,1),(292,1),(296,1),(304,1),(402,1),(408,1),(411,1),(492,1),(538,1),(551,1)}
       356:{1,3,5}:{(293,1),(294,1),(403,1),(412,1)}
       357:{1,2,4,6}:{(294,1),(295,1),(297,1),(404,1),(412,1),(413,1)}
       358:{1,4,7}:{(295,1),(296,1),(298,1)}
       359:{1,2,5,7}:{(297,1),(298,1),(308,1),(413,1),(492,1)}
       360:{1,3,4,6,7}:{(299,1),(301,1),(309,1),(318,1),(406,1),(414,1),(420,1),(422,1),(495,1),(499,1),(501,1),(503,1)}
       361:{1,2,5,7}:{(299,1),(302,1),(414,1),(415,1),(551,1)}
       362:{2,5,6,7}:{(300,1),(304,1),(408,1),(416,1),(551,1)}
       363:{1,3,5}:{(301,1),(302,1),(320,1),(417,1)}
       364:{1,2,5,6}:{(302,1),(303,1),(306,1),(321,1),(418,1),(419,1),(502,1)}
       365:{1,5,7}:{(303,1),(304,1),(307,1)}
       366:{1,3,6}:{(305,1),(306,1),(323,1)}
       367:{1,2,4,6,7}:{(306,1),(307,1),(308,1),(314,1),(324,1),(413,1),(419,1),(420,1),(423,1),(501,1),(503,1)}
       368:{1,3,5,7}:{(309,1),(310,1),(311,1),(325,1),(421,1),(422,1)}
       369:{1,2,6}:{(310,1),(422,1)}
       370:{1,4,5}:{(311,1),(327,1),(424,1)}
       371:{1,3,5,6}:{(311,1),(312,1),(313,1),(328,1),(422,1),(424,1),(425,1),(502,1)}
       372:{1,2,5,7}:{(312,1),(314,1),(329,1),(423,1),(425,1)}
       373:{1,3,7}:{(313,1),(314,1),(330,1)}
       374:{2,4,6,7}:{(315,1),(317,1),(319,1),(426,1)}
       375:{2,4,5,6}:{(316,1),(321,1),(428,1),(429,1),(433,1)}
       376:{1,4,5,7}:{(316,1),(317,1),(322,1),(426,1),(429,1),(440,1),(501,1)}
       377:{2,3,5,7}:{(318,1),(320,1),(331,1),(414,1),(430,1),(431,1),(509,1),(542,1),(551,1)}
       378:{1,3,5,6,7}:{(319,1),(322,1),(326,1),(333,1),(416,1),(426,1),(432,1),(489,1),(505,1)}
       379:{2,4,5}:{(320,1),(334,1),(417,1),(427,1),(433,1)}
       380:{2,3,5,6}:{(320,1),(321,1),(323,1),(335,1),(418,1),(428,1),(433,1),(434,1)}
       381:{2,5,7}:{(321,1),(322,1),(324,1)}
       382:{2,3,6,7}:{(323,1),(324,1),(330,1),(337,1),(420,1),(434,1),(493,1),(505,1)}
       383:{2,4,5,7}:{(325,1),(327,1),(338,1),(421,1),(435,1),(437,1),(509,1)}
       384:{2,3,6}:{(325,1),(339,1),(422,1),(435,1)}
       385:{2,6,7}:{(326,1),(329,1)}
       386:{2,4,6}:{(327,1),(328,1),(341,1),(424,1),(437,1)}
       387:{2,3,5,7}:{(328,1),(329,1),(330,1),(342,1),(425,1),(436,1),(437,1),(509,1)}
       388:{1,4,5,7}:{(331,1),(334,1),(430,1),(438,1),(440,1)}
       389:{1,3,5,6}:{(331,1),(332,1),(339,1),(431,1),(438,1),(532,1),(549,1)}
       390:{1,2,5,6,7}:{(332,1),(333,1),(336,1),(340,1),(432,1),(439,1),(509,1),(533,1)}
       391:{1,4,6}:{(334,1),(335,1),(433,1),(440,1)}
       392:{1,3,5,7}:{(335,1),(336,1),(337,1),(434,1),(440,1)}
       393:{1,3,4,6}:{(338,1),(339,1),(435,1),(438,1),(441,1),(504,1)}
       394:{1,3,6,7}:{(339,1),(340,1),(342,1),(436,1),(505,1)}
       395:{1,3,4,7}:{(341,1),(342,1),(437,1),(440,1),(506,1)}
       396:{1,2,3,7}:{(343,1),(443,1),(516,1)}
       397:{1,2,4,6}:{(343,1),(344,1),(443,1),(444,1),(445,1),(512,1)}
       398:{1,3,4}:{(344,1),(346,1),(446,1)}
       399:{1,2,4,5}:{(344,1),(347,1),(445,1),(446,1),(447,1),(513,1)}
       400:{2,3,4,6}:{(346,1),(352,1),(444,1),(448,1),(450,1),(453,1),(518,1),(520,1)}
       401:{1,3,5,6}:{(345,1),(348,1),(354,1),(451,1),(452,1)}
       402:{2,3,5,7}:{(345,1),(349,1),(355,1),(449,1),(452,1),(473,1)}
       403:{2,3,5}:{(346,1),(347,1),(356,1),(446,1),(453,1)}
       404:{2,4,6}:{(347,1),(348,1),(451,1),(453,1),(454,1)}
       405:{1,3,4,7}:{(348,1),(349,1),(358,1),(452,1),(454,1),(461,1),(516,1),(545,1)}
       406:{1,3,4,7}:{(350,1),(352,1),(448,1),(455,1),(461,1)}
       407:{1,2,4,5,7}:{(350,1),(353,1),(361,1),(455,1),(456,1),(462,1),(517,1)}
       408:{2,4,6,7}:{(351,1),(355,1),(362,1),(449,1),(457,1),(519,1)}
       409:{1,3,5}:{(352,1),(353,1),(450,1)}
       410:{1,2,4,5,6}:{(353,1),(354,1),(357,1),(364,1),(375,1),(451,1),(456,1),(459,1),(460,1),(465,1),(520,1),(525,1),(546,1)}
       411:{1,4,5,7}:{(354,1),(355,1),(358,1),(365,1),(452,1),(457,1),(545,1),(552,1)}
       412:{1,3,6}:{(356,1),(357,1),(453,1),(461,1)}
       413:{1,2,4,7}:{(357,1),(358,1),(359,1),(454,1),(461,1)}
       414:{1,3,5,7}:{(360,1),(361,1),(363,1),(377,1),(462,1),(463,1),(527,1)}
       415:{1,2,5,6}:{(361,1),(369,1),(456,1),(463,1),(546,1)}
       416:{1,5,6,7}:{(362,1),(365,1),(457,1),(552,1)}
       417:{1,4,5}:{(363,1),(379,1),(465,1)}
       418:{1,3,5,6}:{(363,1),(364,1),(366,1),(380,1),(465,1),(466,1)}
       419:{1,2,5,7}:{(364,1),(365,1),(367,1),(381,1),(466,1),(527,1)}
       420:{1,3,6,7}:{(366,1),(367,1),(373,1),(382,1),(461,1),(466,1)}
       421:{1,4,5,7}:{(368,1),(370,1),(383,1),(467,1),(469,1),(527,1)}
       422:{1,3,6}:{(368,1),(369,1),(384,1),(467,1)}
       423:{1,2,6,7}:{(369,1),(372,1),(385,1),(468,1)}
       424:{1,4,6}:{(370,1),(371,1),(386,1),(469,1)}
       425:{1,3,5,7}:{(371,1),(372,1),(373,1),(387,1),(468,1),(469,1),(527,1)}
       426:{1,4,6,7}:{(374,1),(376,1),(378,1),(471,1)}
       427:{3,4,5}:{(379,1),(472,1)}
       428:{3,5,6}:{(375,1),(472,1),(473,1)}
       429:{2,4,5,7}:{(375,1),(376,1),(381,1),(471,1),(473,1),(476,1)}
       430:{2,4,5,7}:{(377,1),(379,1),(388,1),(462,1),(470,1),(474,1),(476,1)}
       431:{2,3,5,6}:{(377,1),(384,1),(389,1),(463,1),(474,1),(477,1),(518,1),(528,1),(546,1)}
       432:{2,5,6,7}:{(378,1),(381,1),(385,1),(471,1),(519,1)}
       433:{2,4,6}:{(379,1),(380,1),(391,1),(465,1),(472,1),(476,1)}
       434:{2,3,5,7}:{(380,1),(381,1),(382,1),(392,1),(466,1),(473,1),(476,1)}
       435:{2,4,6}:{(383,1),(384,1),(393,1),(467,1),(477,1)}
       436:{2,3,6,7}:{(384,1),(385,1),(387,1),(394,1),(468,1),(478,1)}
       437:{2,4,7}:{(386,1),(387,1),(395,1),(469,1)}
       438:{1,4,6}:{(388,1),(389,1),(474,1)}
       439:{1,3,5,6,7}:{(389,1),(390,1),(392,1),(394,1),(475,1),(480,1),(481,1),(544,1),(552,1)}
       440:{1,4,7}:{(391,1),(392,1),(476,1)}
       441:{1,3,5,6}:{(393,1),(477,1),(479,1),(481,1),(528,1)}
       442:{1,3,4,6,7}:{(393,1),(394,1),(395,1),(478,1),(480,1),(481,1),(529,1)}
       443:{1,2,4,7}:{(396,1),(397,1),(482,1),(483,1)}
       444:{1,3,4,6}:{(397,1),(398,1),(400,1),(482,1),(484,1),(486,1),(532,1),(534,1)}
       445:{1,2,5}:{(397,1),(484,1)}
       446:{1,3,5}:{(398,1),(399,1),(403,1),(486,1)}
       447:{1,2,4,6}:{(399,1),(404,1),(485,1),(486,1),(487,1),(534,1)}
       448:{2,3,4,7}:{(400,1),(406,1),(482,1),(488,1),(493,1),(538,1)}
       449:{2,3,6,7}:{(402,1),(408,1),(489,1),(505,1)}
       450:{2,3,5}:{(400,1),(409,1),(484,1),(490,1)}
       451:{2,5,6}:{(401,1),(404,1),(492,1)}
       452:{1,3,5,7}:{(401,1),(402,1),(405,1),(411,1),(489,1),(492,1)}
       453:{2,3,6}:{(403,1),(404,1),(412,1),(486,1),(493,1)}
       454:{2,4,7}:{(404,1),(405,1),(492,1),(493,1)}
       455:{1,3,5,7}:{(406,1),(407,1),(409,1),(488,1),(495,1)}
       456:{1,2,4,6}:{(407,1),(415,1),(495,1),(499,1),(536,1)}
       457:{1,4,6,7}:{(408,1),(411,1),(416,1),(489,1)}
       458:{1,3,4,5}:{(409,1),(417,1),(427,1),(490,1),(497,1)}
       459:{1,3,5,6}:{(409,1),(410,1),(412,1),(428,1),(491,1),(495,1),(497,1),(498,1)}
       460:{1,2,4,5,7}:{(410,1),(411,1),(413,1),(419,1),(429,1),(492,1),(496,1),(498,1),(501,1),(538,1),(541,1),(551,1)}
       461:{1,3,7}:{(412,1),(413,1),(493,1)}
       462:{1,4,5,7}:{(414,1),(417,1),(430,1),(499,1),(501,1)}
       463:{1,3,5,6}:{(414,1),(415,1),(422,1),(431,1),(495,1),(499,1),(502,1)}
       464:{1,2,5,6,7}:{(415,1),(416,1),(419,1),(423,1),(432,1),(496,1),(500,1),(551,1)}
       465:{1,4,6}:{(417,1),(418,1),(433,1),(501,1)}
       466:{1,3,5,7}:{(418,1),(419,1),(420,1),(434,1),(501,1)}
       467:{1,4,6}:{(421,1),(422,1),(435,1),(502,1)}
       468:{1,3,6,7}:{(422,1),(423,1),(425,1),(436,1),(503,1)}
       469:{1,4,7}:{(424,1),(425,1),(437,1)}
       470:{3,4,5,7}:{(427,1),(430,1),(504,1),(506,1),(542,1)}
       471:{2,4,6,7}:{(426,1),(429,1),(432,1),(505,1)}
       472:{3,4,6}:{(427,1),(428,1),(433,1),(506,1)}
       473:{3,5,7}:{(428,1),(429,1),(505,1),(506,1)}
       474:{2,4,6}:{(430,1),(431,1),(438,1),(499,1),(504,1)}
       475:{2,3,5,6,7}:{(431,1),(432,1),(434,1),(436,1),(439,1),(500,1),(505,1),(508,1),(509,1),(537,1),(542,1),(551,1)}
       476:{2,4,7}:{(433,1),(434,1),(440,1),(501,1),(506,1)}
       477:{2,5,6}:{(435,1),(441,1),(502,1),(509,1)}
       478:{2,4,6,7}:{(435,1),(436,1),(437,1),(442,1),(503,1),(509,1)}
       479:{1,4,5,6}:{(438,1),(441,1),(507,1),(510,1),(549,1)}
       480:{1,4,6,7}:{(438,1),(439,1),(440,1),(508,1),(510,1)}
       481:{1,3,5,7}:{(441,1),(442,1),(509,1),(510,1),(542,1)}
       482:{1,3,4,7}:{(443,1),(444,1),(448,1),(511,1),(516,1),(545,1)}
       483:{1,2,5,7}:{(443,1),(445,1),(511,1),(512,1)}
       484:{1,3,5}:{(444,1),(445,1),(450,1),(513,1)}
       485:{1,2,5,6}:{(445,1),(447,1),(451,1),(512,1),(514,1),(515,1)}
       486:{1,3,6}:{(446,1),(447,1),(453,1),(516,1)}
       487:{1,2,4,7}:{(447,1),(454,1),(515,1),(516,1),(545,1)}
       488:{2,3,5,7}:{(448,1),(450,1),(455,1),(511,1),(517,1),(518,1)}
       489:{1,3,6,7}:{(449,1),(452,1),(457,1),(519,1)}
       490:{2,4,5}:{(450,1),(458,1),(513,1),(520,1)}
       491:{2,3,5,6}:{(450,1),(451,1),(453,1),(459,1),(514,1),(518,1),(520,1),(521,1),(546,1)}
       492:{2,5,7}:{(451,1),(452,1),(454,1),(519,1)}
       493:{2,3,7}:{(453,1),(454,1),(461,1),(516,1)}
       494:{1,3,4,5,7}:{(455,1),(458,1),(462,1),(470,1),(517,1),(522,1),(524,1),(548,1)}
       495:{1,3,6}:{(455,1),(456,1),(518,1)}
       496:{1,2,4,6,7}:{(456,1),(457,1),(460,1),(464,1),(471,1),(519,1),(523,1),(526,1),(547,1)}
       497:{1,3,4,6}:{(458,1),(459,1),(465,1),(472,1),(520,1),(524,1)}
       498:{1,3,5,7}:{(459,1),(460,1),(461,1),(473,1),(521,1),(523,1),(524,1)}
       499:{1,4,6}:{(462,1),(463,1),(474,1)}
       500:{1,3,5,6,7}:{(463,1),(464,1),(466,1),(468,1),(475,1),(523,1),(526,1),(527,1),(548,1)}
       501:{1,4,7}:{(465,1),(466,1),(476,1)}
       502:{1,5,6}:{(467,1),(477,1),(527,1)}
       503:{1,4,6,7}:{(467,1),(468,1),(469,1),(478,1),(527,1)}
       504:{3,4,6}:{(470,1),(474,1),(528,1)}
       505:{3,6,7}:{(471,1),(473,1)}
       506:{3,4,7}:{(472,1),(473,1),(476,1)}
       507:{2,4,5,6}:{(474,1),(477,1),(479,1),(525,1),(528,1),(530,1),(546,1)}
       508:{2,4,6,7}:{(474,1),(475,1),(476,1),(480,1),(526,1),(529,1),(530,1)}
       509:{2,5,7}:{(477,1),(478,1),(481,1),(527,1)}
       510:{1,4,5,7}:{(479,1),(480,1),(481,1),(530,1),(552,1)}
       511:{1,3,5,7}:{(482,1),(483,1),(484,1),(488,1),(531,1),(532,1)}
       512:{1,2,6}:{(483,1),(532,1)}
       513:{1,4,5}:{(484,1),(490,1),(534,1)}
       514:{1,3,5,6}:{(484,1),(485,1),(486,1),(491,1),(532,1),(534,1),(535,1),(549,1)}
       515:{1,2,5,7}:{(485,1),(487,1),(492,1),(533,1),(535,1)}
       516:{1,3,7}:{(486,1),(487,1),(493,1)}
       517:{2,4,5,7}:{(488,1),(490,1),(494,1),(531,1),(536,1),(538,1),(551,1)}
       518:{2,3,6}:{(488,1),(495,1),(532,1),(536,1)}
       519:{2,6,7}:{(489,1),(492,1)}
       520:{2,4,6}:{(490,1),(491,1),(497,1),(534,1),(538,1)}
       521:{2,3,5,7}:{(491,1),(492,1),(493,1),(498,1),(535,1),(537,1),(538,1),(551,1)}
       522:{1,3,4,6}:{(494,1),(495,1),(499,1),(504,1),(536,1),(539,1)}
       523:{1,3,6,7}:{(495,1),(496,1),(498,1),(505,1),(537,1)}
       524:{1,3,4,7}:{(497,1),(498,1),(501,1),(506,1),(538,1)}
       525:{1,4,5,6}:{(499,1),(502,1),(507,1),(539,1),(541,1)}
       526:{1,4,6,7}:{(499,1),(500,1),(501,1),(508,1),(541,1)}
       527:{1,5,7}:{(502,1),(503,1),(509,1)}
       528:{3,5,6}:{(504,1),(507,1),(542,1)}
       529:{3,4,6,7}:{(504,1),(505,1),(506,1),(508,1),(542,1)}
       530:{2,4,5,7}:{(507,1),(508,1),(509,1),(510,1),(541,1),(542,1),(551,1)}
       531:{1,4,5,7}:{(511,1),(513,1),(517,1),(543,1),(545,1),(552,1)}
       532:{1,3,6}:{(511,1),(512,1),(518,1),(543,1)}
       533:{1,2,6,7}:{(512,1),(515,1),(519,1),(544,1)}
       534:{1,4,6}:{(513,1),(514,1),(520,1),(545,1)}
       535:{1,3,5,7}:{(514,1),(515,1),(516,1),(521,1),(544,1),(545,1),(552,1)}
       536:{2,4,6}:{(517,1),(518,1),(522,1),(543,1),(546,1)}
       537:{2,3,6,7}:{(518,1),(519,1),(521,1),(523,1),(544,1),(547,1)}
       538:{2,4,7}:{(520,1),(521,1),(524,1),(545,1)}
       539:{1,3,5,6}:{(522,1),(525,1),(528,1),(546,1),(548,1)}
       540:{1,3,4,6,7}:{(522,1),(523,1),(524,1),(526,1),(529,1),(547,1),(548,1)}
       541:{1,4,5,7}:{(525,1),(526,1),(527,1),(530,1),(548,1)}
       542:{3,5,7}:{(528,1),(529,1),(530,1)}
       543:{1,4,6}:{(531,1),(532,1),(536,1),(549,1)}
       544:{1,3,6,7}:{(532,1),(533,1),(535,1),(537,1),(550,1)}
       545:{1,4,7}:{(534,1),(535,1),(538,1)}
       546:{2,5,6}:{(536,1),(539,1),(549,1),(551,1)}
       547:{2,4,6,7}:{(536,1),(537,1),(538,1),(540,1),(550,1),(551,1)}
       548:{1,3,5,7}:{(539,1),(540,1),(541,1),(542,1),(551,1)}
       549:{1,5,6}:{(543,1),(546,1),(552,1)}
       550:{1,4,6,7}:{(543,1),(544,1),(545,1),(547,1),(552,1)}
       551:{2,5,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,5,7}:{(549,1),(550,1),(551,1)}

2465 :   0:{1,4,5,6,7}:{(2,1),(3,1),(49,1),(56,1),(130,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(15,1),(24,1),(52,1),(69,1),(113,1),(207,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(10,1),(29,1),(34,1),(85,1),(158,1)}
         3:{1,3,5,6,7}:{(0,1),(7,1),(9,1),(10,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(12,1),(30,1),(42,1),(79,1),(99,1),(149,1),(167,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(98,1),(242,1)}
         6:{1,4,5,6,7}:{(2,1),(14,1),(22,1),(56,1),(185,1)}
         7:{3,5,6,7}:{(2,1),(17,1),(119,1),(198,1)}
         8:{2,3,4,5}:{(19,1),(20,1),(121,1),(134,1),(191,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(17,1),(21,1),(56,1),(62,1),(119,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(206,1)}
        11:{2,3,5,6}:{(5,1),(19,1),(23,1),(24,1),(113,1)}
        12:{2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(25,1),(66,1),(133,1),(206,1)}
        13:{1,4,5,6}:{(5,1),(24,1),(25,1),(132,1),(270,1)}
        14:{1,3,5,6,7}:{(6,1),(7,1),(28,1),(29,1),(223,1)}
        15:{3,4,5,6}:{(30,1),(31,1),(236,1),(283,1)}
        16:{2,3,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(70,1),(77,1),(136,1),(151,1),(171,1),(230,1),(279,1),(284,1),(285,1),(309,1)}
        17:{3,4,6,7}:{(7,1),(30,1),(34,1)}
        18:{2,3,5,6,7}:{(7,1),(10,1),(29,1),(34,1),(35,1),(39,1),(74,1),(77,1)}
        19:{2,3,4,6}:{(8,1),(11,1),(36,1),(37,1),(98,1),(150,1),(159,1)}
        20:{1,3,4,5}:{(8,1),(37,1),(38,1),(88,1),(170,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(12,1),(39,1),(40,1),(92,1)}
        22:{1,5,6,7}:{(10,1),(40,1),(241,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(36,1),(39,1),(42,1),(149,1)}
        24:{1,3,5,6}:{(11,1),(13,1),(37,1),(42,1),(43,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(40,1),(42,1),(169,1),(241,1)}
        26:{1,2,4,5,6}:{(13,1),(43,1),(44,1),(45,1),(80,1),(87,1),(98,1),(146,1),(168,1),(170,1),(227,1),(238,1),(242,1),(243,1),(285,1),(290,1),(310,1)}
        27:{1,3,4,5,6}:{(15,1),(46,1),(47,1),(52,1),(104,1),(113,1),(181,1),(257,1)}
        28:{1,3,4,6,7}:{(14,1),(17,1),(46,1),(48,1),(56,1),(107,1),(119,1)}
        29:{2,5,6,7}:{(14,1),(48,1),(49,1),(256,1)}
        30:{3,4,5,7}:{(15,1),(17,1),(51,1),(198,1),(299,1)}
        31:{2,4,5,6}:{(15,1),(50,1),(51,1),(52,1),(259,1)}
        32:{2,3,4,6}:{(16,1),(50,1),(54,1),(192,1),(209,1),(259,1),(263,1),(297,1),(313,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(54,1),(55,1),(59,1),(102,1),(110,1),(115,1),(174,1),(190,1),(191,1),(208,1),(260,1),(261,1),(296,1)}
        34:{2,4,6,7}:{(17,1),(18,1),(51,1),(56,1)}
        35:{1,3,5,6,7}:{(18,1),(22,1),(49,1),(56,1),(57,1),(62,1),(107,1),(110,1),(119,1)}
        36:{2,3,4,7}:{(19,1),(23,1),(59,1),(133,1),(190,1),(200,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(24,1),(59,1),(60,1),(123,1),(132,1)}
        38:{2,4,5}:{(20,1),(60,1),(61,1)}
        39:{2,3,6,7}:{(21,1),(23,1),(62,1),(119,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(62,1)}
        41:{1,2,5,6,7}:{(22,1),(57,1),(63,1),(64,1),(182,1),(186,1),(206,1),(270,1),(303,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(25,1),(59,1),(62,1),(66,1)}
        43:{2,5,6}:{(24,1),(60,1),(66,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(63,1),(66,1),(68,1),(112,1),(122,1),(130,1),(133,1),(186,1),(206,1),(208,1),(260,1),(268,1),(301,1)}
        45:{1,3,5,6}:{(26,1),(67,1),(68,1),(69,1),(113,1),(123,1),(203,1),(269,1),(300,1),(313,1)}
        46:{1,3,4,5,7}:{(27,1),(28,1),(30,1),(72,1),(79,1),(139,1),(149,1),(219,1),(223,1)}
        47:{2,4,5,6}:{(27,1),(71,1),(72,1),(73,1),(140,1),(218,1),(282,1)}
        48:{2,4,6,7}:{(28,1),(29,1),(72,1),(74,1),(75,1),(143,1)}
        49:{1,5,6,7}:{(29,1),(75,1),(281,1)}
        50:{2,3,5,6}:{(31,1),(32,1),(77,1),(78,1),(236,1),(242,1),(282,1)}
        51:{2,4,5,7}:{(30,1),(31,1),(34,1),(77,1),(79,1),(284,1)}
        52:{1,4,5,6}:{(31,1),(78,1),(79,1),(80,1),(227,1)}
        53:{2,3,4,6,7}:{(32,1),(34,1),(36,1),(39,1),(74,1),(77,1),(82,1),(136,1),(157,1),(166,1),(222,1),(231,1),(284,1)}
        54:{1,3,4,6}:{(32,1),(33,1),(78,1),(83,1),(150,1),(153,1),(227,1),(243,1),(308,1)}
        55:{2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(89,1),(138,1),(147,1),(212,1),(228,1),(229,1)}
        56:{1,4,6,7}:{(34,1),(35,1),(79,1),(85,1)}
        57:{2,5,6,7}:{(35,1),(85,1),(92,1),(143,1),(147,1)}
        58:{1,2,4,5}:{(38,1),(87,1),(88,1),(160,1),(170,1),(238,1)}
        59:{1,3,4,7}:{(36,1),(37,1),(42,1),(89,1),(161,1),(169,1)}
        60:{2,4,6}:{(37,1),(38,1),(43,1),(89,1),(90,1)}
        61:{2,3,5}:{(38,1),(88,1),(90,1),(91,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(42,1),(92,1)}
        63:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(85,1),(92,1),(93,1),(94,1),(166,1),(243,1),(290,1),(310,1)}
        64:{1,3,5,6,7}:{(41,1),(86,1),(93,1),(94,1),(167,1),(221,1),(226,1),(281,1),(289,1)}
        65:{1,2,5,6}:{(43,1),(87,1),(95,1),(96,1),(238,1),(290,1)}
        66:{2,5,7}:{(42,1),(43,1),(89,1),(92,1)}
        67:{2,3,5,6}:{(43,1),(45,1),(90,1),(96,1),(97,1),(98,1),(159,1),(164,1),(238,1),(240,1),(242,1),(290,1)}
        68:{1,3,5,7}:{(44,1),(45,1),(93,1),(97,1),(99,1),(149,1),(161,1),(309,1)}
        69:{1,3,4,6}:{(45,1),(98,1),(99,1),(100,1),(150,1),(227,1),(283,1)}
        70:{2,3,4,5}:{(101,1),(102,1),(191,1),(244,1),(253,1)}
        71:{2,3,5,6}:{(47,1),(101,1),(103,1),(104,1),(113,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(48,1),(103,1),(105,1),(178,1),(252,1),(256,1)}
        73:{1,4,5,6}:{(47,1),(104,1),(105,1),(251,1),(298,1)}
        74:{2,3,6,7}:{(48,1),(103,1),(107,1),(119,1)}
        75:{1,4,6,7}:{(48,1),(49,1),(105,1),(107,1)}
        76:{1,2,5,6,7}:{(49,1),(57,1),(108,1),(109,1),(127,1),(186,1),(256,1),(298,1),(303,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(53,1),(110,1),(198,1),(206,1),(256,1)}
        78:{1,3,5,6}:{(50,1),(52,1),(54,1),(110,1),(111,1),(113,1),(270,1),(298,1)}
        79:{1,4,5,7}:{(51,1),(52,1),(56,1),(110,1),(112,1),(260,1)}
        80:{2,4,5,6}:{(52,1),(111,1),(112,1),(113,1),(189,1)}
        81:{1,2,4,5,7}:{(55,1),(58,1),(114,1),(115,1),(122,1),(173,1),(186,1),(193,1),(208,1),(245,1),(260,1),(261,1),(265,1),(268,1),(296,1),(301,1),(311,1)}
        82:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(62,1),(107,1),(110,1),(116,1),(119,1),(174,1),(190,1),(194,1),(205,1),(255,1),(260,1)}
        83:{2,4,6}:{(54,1),(55,1),(111,1),(117,1)}
        84:{2,3,5,7}:{(55,1),(61,1),(115,1),(117,1),(118,1),(125,1),(176,1),(197,1),(248,1)}
        85:{2,4,6,7}:{(56,1),(57,1),(112,1),(119,1)}
        86:{2,3,5,6,7}:{(57,1),(64,1),(109,1),(119,1),(120,1),(128,1),(183,1),(188,1),(198,1),(206,1),(256,1),(258,1),(267,1),(303,1),(313,1)}
        87:{1,2,4,6}:{(58,1),(60,1),(65,1),(122,1),(123,1),(132,1),(201,1)}
        88:{1,3,5}:{(58,1),(61,1),(121,1),(123,1),(124,1)}
        89:{2,4,7}:{(59,1),(60,1),(66,1),(125,1)}
        90:{2,3,6}:{(60,1),(61,1),(123,1),(125,1)}
        91:{2,3,4}:{(61,1),(124,1)}
        92:{2,6,7}:{(62,1),(66,1)}
        93:{1,3,6,7}:{(63,1),(68,1),(119,1),(128,1),(269,1),(313,1)}
        94:{1,4,6,7}:{(64,1),(120,1),(130,1),(260,1),(302,1)}
        95:{1,2,5,7}:{(65,1),(66,1),(122,1),(127,1),(131,1),(268,1)}
        96:{1,3,5,6}:{(65,1),(67,1),(123,1),(131,1),(132,1),(203,1),(269,1),(270,1)}
        97:{2,3,5,7}:{(66,1),(67,1),(68,1),(125,1),(128,1),(131,1),(133,1),(200,1),(206,1),(268,1)}
        98:{2,4,6}:{(67,1),(69,1),(132,1),(133,1),(134,1)}
        99:{1,3,4,7}:{(68,1),(69,1),(133,1),(190,1),(260,1),(299,1)}
       100:{1,3,4,5}:{(69,1),(134,1),(191,1),(203,1),(261,1),(300,1)}
       101:{2,3,4,6}:{(70,1),(71,1),(136,1),(137,1),(150,1),(218,1),(271,1)}
       102:{1,3,4,5}:{(70,1),(137,1),(138,1),(211,1),(278,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(74,1),(136,1),(139,1),(149,1)}
       104:{1,3,5,6}:{(71,1),(73,1),(137,1),(139,1),(140,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(75,1),(139,1),(277,1),(281,1)}
       106:{1,2,4,5,6}:{(73,1),(80,1),(140,1),(141,1),(142,1),(146,1),(210,1),(218,1),(224,1),(227,1),(278,1),(282,1),(285,1),(305,1),(308,1),(310,1),(314,1)}
       107:{1,3,6,7}:{(74,1),(75,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(75,1),(76,1),(85,1),(141,1),(143,1),(144,1),(145,1),(222,1),(308,1),(310,1),(314,1)}
       109:{1,3,5,6,7}:{(76,1),(86,1),(144,1),(145,1),(165,1),(223,1),(226,1),(241,1),(289,1)}
       110:{1,3,5,7}:{(77,1),(78,1),(79,1),(82,1),(147,1),(149,1),(241,1),(281,1)}
       111:{2,5,6}:{(78,1),(83,1),(147,1)}
       112:{2,4,5,7}:{(79,1),(80,1),(85,1),(147,1),(149,1),(228,1)}
       113:{3,5,6}:{(80,1),(149,1),(150,1)}
       114:{1,2,4,6}:{(81,1),(83,1),(146,1),(153,1),(227,1),(232,1),(243,1),(290,1),(308,1),(310,1),(314,1)}
       115:{1,3,5,7}:{(81,1),(84,1),(88,1),(151,1),(153,1),(154,1),(161,1),(211,1),(234,1),(273,1),(309,1)}
       116:{2,4,6,7}:{(82,1),(83,1),(89,1),(92,1),(143,1),(147,1),(155,1),(212,1),(228,1)}
       117:{2,3,6}:{(83,1),(84,1),(153,1)}
       118:{2,3,4,7}:{(84,1),(91,1),(154,1),(156,1),(214,1),(228,1)}
       119:{3,6,7}:{(85,1),(149,1)}
       120:{2,4,6,7}:{(86,1),(94,1),(145,1),(157,1),(158,1),(228,1),(284,1),(287,1),(310,1)}
       121:{2,3,5}:{(88,1),(159,1),(160,1),(238,1)}
       122:{1,2,4,7}:{(87,1),(89,1),(95,1),(161,1),(169,1),(237,1)}
       123:{1,3,6}:{(87,1),(88,1),(90,1),(159,1),(161,1)}
       124:{1,3,4}:{(88,1),(91,1),(160,1)}
       125:{2,3,7}:{(89,1),(90,1),(161,1)}
       126:{2,3,4,6}:{(90,1),(91,1),(98,1),(162,1),(163,1),(164,1),(240,1),(283,1)}
       127:{1,2,6,7}:{(92,1),(95,1),(165,1),(290,1)}
       128:{2,3,6,7}:{(92,1),(93,1),(97,1),(165,1),(166,1),(240,1),(290,1)}
       129:{1,3,4,6,7}:{(93,1),(94,1),(99,1),(157,1),(166,1),(167,1),(172,1)}
       130:{1,4,5,7}:{(94,1),(158,1),(167,1),(168,1),(281,1)}
       131:{1,3,5,7}:{(95,1),(96,1),(97,1),(161,1),(165,1),(169,1),(241,1)}
       132:{1,4,6}:{(96,1),(98,1),(169,1),(170,1)}
       133:{2,4,7}:{(97,1),(98,1),(99,1),(169,1)}
       134:{2,4,5}:{(98,1),(100,1),(164,1),(170,1),(238,1)}
       135:{1,3,4,5,7}:{(99,1),(100,1),(167,1),(171,1),(172,1),(230,1),(239,1),(286,1),(309,1)}
       136:{2,3,4,7}:{(101,1),(103,1),(174,1),(190,1),(252,1),(291,1)}
       137:{1,3,4,6}:{(101,1),(102,1),(104,1),(174,1),(175,1),(246,1),(251,1)}
       138:{2,4,5}:{(102,1),(175,1),(176,1)}
       139:{1,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(174,1),(178,1)}
       140:{2,5,6}:{(104,1),(175,1),(178,1)}
       141:{1,2,4,5,7}:{(105,1),(106,1),(108,1),(112,1),(178,1),(180,1),(185,1),(186,1),(245,1),(252,1),(256,1),(260,1),(296,1),(301,1),(311,1)}
       142:{1,3,5,6}:{(106,1),(113,1),(179,1),(180,1),(181,1),(246,1),(294,1),(300,1),(312,1),(313,1)}
       143:{2,6,7}:{(107,1),(178,1)}
       144:{1,3,6,7}:{(108,1),(119,1),(180,1),(183,1),(312,1),(313,1)}
       145:{1,4,6,7}:{(109,1),(120,1),(185,1),(260,1),(302,1)}
       146:{1,2,5,6}:{(111,1),(114,1),(186,1),(187,1),(265,1),(270,1),(298,1),(303,1)}
       147:{2,5,7}:{(110,1),(111,1),(116,1)}
       148:{2,3,5,6}:{(111,1),(113,1),(117,1),(187,1),(188,1),(189,1),(197,1)}
       149:{3,5,7}:{(112,1),(113,1),(119,1),(190,1)}
       150:{3,4,6}:{(113,1),(189,1),(190,1),(191,1)}
       151:{2,3,5,7}:{(115,1),(121,1),(192,1),(193,1),(200,1),(244,1),(265,1),(268,1),(291,1),(311,1)}
       152:{1,2,4,6,7}:{(114,1),(116,1),(122,1),(127,1),(182,1),(186,1),(194,1),(205,1),(245,1),(255,1),(260,1),(264,1)}
       153:{1,3,6}:{(114,1),(115,1),(117,1),(192,1),(313,1)}
       154:{1,3,4,7}:{(115,1),(118,1),(124,1),(193,1),(195,1),(247,1),(260,1),(299,1)}
       155:{2,3,6,7}:{(116,1),(117,1),(119,1),(125,1),(188,1),(194,1),(248,1)}
       156:{2,3,4,6}:{(117,1),(118,1),(189,1),(195,1),(197,1)}
       157:{3,4,6,7}:{(119,1),(120,1),(190,1),(198,1),(263,1),(299,1),(313,1)}
       158:{2,4,5,7}:{(120,1),(130,1),(185,1),(198,1),(199,1),(206,1),(256,1)}
       159:{2,3,6}:{(121,1),(123,1),(200,1),(201,1)}
       160:{2,4}:{(121,1),(124,1)}
       161:{1,3,7}:{(122,1),(123,1),(125,1),(200,1)}
       162:{1,3,4,6}:{(123,1),(124,1),(126,1),(132,1),(201,1),(202,1),(203,1),(269,1)}
       163:{2,3,4,7}:{(125,1),(126,1),(133,1),(202,1),(204,1),(299,1)}
       164:{2,3,5}:{(126,1),(134,1),(203,1),(300,1)}
       165:{1,3,6,7}:{(127,1),(128,1),(131,1),(205,1),(269,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(133,1),(205,1),(206,1),(209,1)}
       167:{1,3,5,7}:{(129,1),(130,1),(198,1),(206,1),(207,1)}
       168:{1,4,5,6}:{(130,1),(199,1),(207,1),(298,1),(302,1)}
       169:{1,4,7}:{(131,1),(132,1),(133,1)}
       170:{1,4,5}:{(132,1),(134,1),(203,1)}
       171:{2,4,5,7}:{(133,1),(134,1),(135,1),(204,1),(206,1),(208,1),(209,1),(268,1)}
       172:{1,3,4,6}:{(135,1),(207,1),(209,1),(263,1),(269,1),(302,1),(313,1)}
       173:{1,2,4,5}:{(138,1),(210,1),(211,1),(272,1),(278,1),(305,1)}
       174:{1,3,4,7}:{(136,1),(137,1),(139,1),(212,1),(273,1),(277,1)}
       175:{2,4,6}:{(137,1),(138,1),(140,1),(212,1),(213,1)}
       176:{2,3,5}:{(138,1),(211,1),(213,1),(214,1)}
       177:{1,2,5,6}:{(140,1),(210,1),(215,1),(216,1),(305,1),(314,1)}
       178:{2,5,7}:{(139,1),(140,1),(143,1),(212,1)}
       179:{2,3,5,6}:{(140,1),(142,1),(213,1),(216,1),(217,1),(218,1),(271,1),(276,1),(282,1),(305,1),(307,1),(314,1)}
       180:{1,3,5,7}:{(141,1),(142,1),(144,1),(149,1),(217,1),(219,1),(273,1),(309,1)}
       181:{1,3,4,6}:{(142,1),(150,1),(218,1),(219,1),(220,1),(227,1),(283,1)}
       182:{1,2,6,7}:{(143,1),(215,1),(221,1),(314,1)}
       183:{2,3,6,7}:{(143,1),(144,1),(217,1),(221,1),(222,1),(307,1),(314,1)}
       184:{1,3,4,6,7}:{(144,1),(145,1),(157,1),(219,1),(222,1),(223,1),(280,1)}
       185:{1,4,5,7}:{(145,1),(158,1),(223,1),(224,1),(241,1)}
       186:{1,2,5,7}:{(146,1),(147,1),(152,1),(226,1),(241,1),(281,1),(288,1)}
       187:{1,3,5,6}:{(146,1),(148,1),(153,1),(225,1),(226,1),(227,1),(234,1)}
       188:{2,3,5,7}:{(147,1),(148,1),(149,1),(155,1),(226,1),(228,1)}
       189:{2,4,6}:{(148,1),(150,1),(227,1),(228,1),(229,1)}
       190:{3,4,7}:{(149,1),(150,1),(228,1)}
       191:{3,4,5}:{(150,1),(229,1)}
       192:{2,3,6}:{(151,1),(153,1),(232,1),(290,1),(314,1)}
       193:{2,4,7}:{(151,1),(154,1),(160,1),(232,1),(272,1)}
       194:{1,3,6,7}:{(152,1),(153,1),(155,1),(161,1),(226,1),(231,1),(273,1)}
       195:{1,3,4,6}:{(153,1),(154,1),(156,1),(227,1),(232,1),(234,1),(283,1)}
       196:{2,3,4,6,7}:{(155,1),(156,1),(157,1),(163,1),(166,1),(222,1),(228,1),(233,1),(235,1),(240,1),(275,1),(287,1),(307,1)}
       197:{2,3,5}:{(156,1),(229,1),(234,1)}
       198:{3,5,7}:{(157,1),(158,1),(236,1)}
       199:{2,4,5,6}:{(158,1),(168,1),(224,1),(236,1),(242,1),(282,1),(287,1),(310,1)}
       200:{2,3,7}:{(159,1),(161,1),(237,1)}
       201:{2,4,6}:{(159,1),(160,1),(162,1),(237,1),(238,1),(290,1)}
       202:{1,3,4,7}:{(161,1),(162,1),(163,1),(169,1),(237,1),(239,1)}
       203:{1,3,5}:{(162,1),(164,1),(170,1),(238,1)}
       204:{2,3,5,7}:{(163,1),(164,1),(171,1),(239,1),(240,1),(309,1)}
       205:{1,4,6,7}:{(165,1),(166,1),(169,1),(241,1),(243,1)}
       206:{2,5,7}:{(166,1),(167,1),(241,1),(242,1)}
       207:{1,3,5,6}:{(167,1),(168,1),(172,1),(236,1),(242,1)}
       208:{1,4,5,7}:{(169,1),(170,1),(171,1),(239,1),(241,1),(243,1)}
       209:{2,4,6}:{(171,1),(172,1),(240,1),(242,1),(243,1),(290,1)}
       210:{1,2,4,6}:{(173,1),(175,1),(177,1),(245,1),(246,1),(251,1),(292,1)}
       211:{1,3,5}:{(173,1),(176,1),(244,1),(246,1),(247,1)}
       212:{2,4,7}:{(174,1),(175,1),(178,1),(248,1)}
       213:{2,3,6}:{(175,1),(176,1),(246,1),(248,1)}
       214:{2,3,4}:{(176,1),(247,1)}
       215:{1,2,5,7}:{(177,1),(178,1),(182,1),(245,1),(250,1),(311,1)}
       216:{1,3,5,6}:{(177,1),(179,1),(246,1),(250,1),(251,1),(294,1),(298,1),(312,1)}
       217:{2,3,5,7}:{(178,1),(179,1),(180,1),(183,1),(248,1),(250,1),(252,1),(256,1),(291,1),(311,1)}
       218:{2,4,6}:{(179,1),(181,1),(251,1),(252,1),(253,1)}
       219:{1,3,4,7}:{(180,1),(181,1),(190,1),(252,1),(260,1),(299,1)}
       220:{1,3,4,5}:{(181,1),(191,1),(253,1),(261,1),(294,1),(300,1)}
       221:{1,3,6,7}:{(182,1),(183,1),(250,1),(255,1),(312,1)}
       222:{2,4,6,7}:{(183,1),(184,1),(252,1),(255,1),(256,1),(297,1)}
       223:{1,3,5,7}:{(184,1),(185,1),(198,1),(256,1),(257,1)}
       224:{1,4,5,6}:{(185,1),(199,1),(257,1),(270,1),(302,1)}
       225:{2,3,5,6}:{(187,1),(192,1),(258,1),(259,1),(265,1),(300,1),(303,1),(313,1)}
       226:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(258,1),(260,1)}
       227:{1,4,6}:{(187,1),(189,1),(259,1),(260,1),(261,1)}
       228:{2,4,7}:{(188,1),(189,1),(190,1),(260,1)}
       229:{2,4,5}:{(189,1),(191,1),(197,1),(261,1)}
       230:{3,4,5,7}:{(190,1),(191,1),(198,1),(262,1),(263,1)}
       231:{2,3,6,7}:{(192,1),(194,1),(200,1),(258,1),(264,1),(291,1),(313,1)}
       232:{2,4,6}:{(192,1),(193,1),(195,1),(265,1)}
       233:{1,3,4,6,7}:{(194,1),(195,1),(196,1),(202,1),(205,1),(255,1),(260,1),(264,1),(266,1),(269,1),(293,1),(299,1),(302,1),(312,1),(313,1)}
       234:{1,3,5}:{(195,1),(197,1),(261,1),(265,1),(300,1)}
       235:{2,3,5,7}:{(196,1),(197,1),(198,1),(206,1),(256,1),(262,1),(266,1),(267,1)}
       236:{3,5,6}:{(198,1),(199,1),(263,1),(313,1)}
       237:{2,4,7}:{(200,1),(201,1),(202,1),(268,1)}
       238:{2,5}:{(201,1),(203,1)}
       239:{1,3,5,7}:{(202,1),(203,1),(204,1),(208,1),(268,1),(269,1)}
       240:{2,3,6}:{(204,1),(209,1),(269,1),(313,1)}
       241:{1,5,7}:{(205,1),(206,1),(270,1)}
       242:{2,5,6}:{(206,1),(207,1),(209,1),(270,1)}
       243:{1,4,6}:{(208,1),(209,1),(269,1),(270,1)}
       244:{2,3,5}:{(211,1),(271,1),(272,1),(305,1)}
       245:{1,2,4,7}:{(210,1),(212,1),(215,1),(273,1),(277,1),(304,1)}
       246:{1,3,6}:{(210,1),(211,1),(213,1),(271,1),(273,1)}
       247:{1,3,4}:{(211,1),(214,1),(272,1)}
       248:{2,3,7}:{(212,1),(213,1),(273,1)}
       249:{2,3,4,6}:{(213,1),(214,1),(218,1),(274,1),(275,1),(276,1),(283,1),(307,1)}
       250:{1,3,5,7}:{(215,1),(216,1),(217,1),(221,1),(273,1),(277,1),(281,1)}
       251:{1,4,6}:{(216,1),(218,1),(277,1),(278,1)}
       252:{2,4,7}:{(217,1),(218,1),(219,1),(277,1)}
       253:{2,4,5}:{(218,1),(220,1),(276,1),(278,1),(305,1)}
       254:{1,3,4,5,7}:{(219,1),(220,1),(223,1),(230,1),(279,1),(280,1),(286,1),(306,1),(309,1)}
       255:{1,4,6,7}:{(221,1),(222,1),(277,1),(281,1),(308,1)}
       256:{2,5,7}:{(222,1),(223,1),(281,1),(282,1)}
       257:{1,3,5,6}:{(223,1),(224,1),(236,1),(280,1),(282,1)}
       258:{2,3,5,7}:{(225,1),(226,1),(231,1),(284,1),(288,1),(309,1)}
       259:{2,4,6}:{(225,1),(227,1),(283,1),(284,1),(285,1)}
       260:{1,4,7}:{(226,1),(227,1),(228,1),(284,1)}
       261:{1,4,5}:{(227,1),(229,1),(234,1),(285,1)}
       262:{2,4,5,7}:{(228,1),(229,1),(230,1),(235,1),(286,1),(287,1)}
       263:{3,4,6}:{(230,1),(236,1),(287,1)}
       264:{2,4,6,7}:{(231,1),(232,1),(233,1),(237,1),(284,1),(288,1),(290,1),(304,1),(310,1),(314,1)}
       265:{2,5}:{(232,1),(234,1)}
       266:{1,3,5,7}:{(233,1),(234,1),(235,1),(241,1),(281,1),(286,1),(288,1),(289,1),(309,1)}
       267:{2,3,5,6}:{(235,1),(236,1),(240,1),(242,1),(282,1),(287,1),(289,1),(307,1)}
       268:{2,5,7}:{(237,1),(238,1),(239,1),(290,1)}
       269:{1,3,6}:{(239,1),(240,1),(243,1),(290,1)}
       270:{1,5,6}:{(241,1),(242,1),(243,1)}
       271:{2,3,6}:{(244,1),(246,1),(291,1),(292,1)}
       272:{2,4}:{(244,1),(247,1)}
       273:{1,3,7}:{(245,1),(246,1),(248,1),(291,1)}
       274:{1,3,4,6}:{(246,1),(247,1),(249,1),(251,1),(292,1),(293,1),(294,1),(312,1)}
       275:{2,3,4,7}:{(248,1),(249,1),(252,1),(293,1),(295,1),(299,1)}
       276:{2,3,5}:{(249,1),(253,1),(294,1),(300,1)}
       277:{1,4,7}:{(250,1),(251,1),(252,1)}
       278:{1,4,5}:{(251,1),(253,1),(294,1)}
       279:{2,4,5,7}:{(252,1),(253,1),(254,1),(256,1),(295,1),(296,1),(297,1),(311,1)}
       280:{1,3,4,6}:{(254,1),(257,1),(263,1),(297,1),(302,1),(312,1),(313,1)}
       281:{1,5,7}:{(255,1),(256,1),(298,1)}
       282:{2,5,6}:{(256,1),(257,1),(297,1),(298,1)}
       283:{3,4,6}:{(259,1),(299,1),(300,1),(313,1)}
       284:{2,4,7}:{(258,1),(259,1),(260,1),(299,1)}
       285:{2,4,5}:{(259,1),(261,1),(265,1),(300,1)}
       286:{1,4,5,7}:{(260,1),(261,1),(262,1),(266,1),(301,1),(302,1)}
       287:{2,4,6}:{(262,1),(263,1),(267,1),(302,1)}
       288:{2,5,7}:{(264,1),(265,1),(266,1),(303,1)}
       289:{1,3,5,6}:{(266,1),(267,1),(269,1),(270,1),(298,1),(302,1),(303,1),(312,1),(313,1)}
       290:{2,6}:{(268,1),(269,1)}
       291:{2,3,7}:{(271,1),(273,1),(304,1)}
       292:{2,4,6}:{(271,1),(272,1),(274,1),(304,1),(305,1),(314,1)}
       293:{1,3,4,7}:{(273,1),(274,1),(275,1),(277,1),(304,1),(306,1)}
       294:{1,3,5}:{(274,1),(276,1),(278,1),(305,1)}
       295:{2,3,5,7}:{(275,1),(276,1),(279,1),(306,1),(307,1),(309,1)}
       296:{1,4,5,7}:{(277,1),(278,1),(279,1),(281,1),(306,1),(308,1)}
       297:{2,4,6}:{(279,1),(280,1),(282,1),(307,1),(308,1),(314,1)}
       298:{1,5,6}:{(281,1),(282,1),(308,1)}
       299:{3,4,7}:{(283,1),(284,1),(309,1)}
       300:{3,5}:{(283,1),(285,1)}
       301:{2,4,5,7}:{(284,1),(285,1),(286,1),(288,1),(309,1),(310,1)}
       302:{1,4,6}:{(286,1),(287,1),(289,1),(310,1)}
       303:{2,5,6}:{(288,1),(289,1),(290,1),(310,1),(314,1)}
       304:{2,4,7}:{(291,1),(292,1),(293,1),(311,1)}
       305:{2,5}:{(292,1),(294,1)}
       306:{1,3,5,7}:{(293,1),(294,1),(295,1),(296,1),(311,1),(312,1)}
       307:{2,3,6}:{(295,1),(297,1),(312,1),(313,1)}
       308:{1,4,6}:{(296,1),(297,1),(298,1),(312,1)}
       309:{3,5,7}:{(299,1),(300,1),(301,1),(313,1)}
       310:{2,4,6}:{(301,1),(302,1),(303,1),(313,1)}
       311:{2,5,7}:{(304,1),(305,1),(306,1),(314,1)}
       312:{1,3,6}:{(306,1),(307,1),(308,1),(314,1)}
       313:{3,6}:{(309,1),(310,1)}
       314:{2,6}:{(311,1),(312,1)}

2466 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2467 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(52,1),(56,1),(95,1),(96,1),(98,1),(101,1),(126,1),(160,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(31,1),(70,1),(71,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(11,1),(27,1),(35,1),(42,1),(65,1),(72,1),(74,1),(76,1),(80,1),(106,1),(118,1),(119,1),(122,1),(143,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(31,1),(70,1),(116,1),(121,1),(142,1)}
         4:{1,2,4,6,7}:{(8,1),(11,1),(12,1),(41,1),(42,1),(72,1),(115,1),(143,1),(144,1),(145,1),(149,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(50,1),(51,1),(92,1),(93,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(48,1),(89,1),(96,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(54,1),(56,1),(101,1),(126,1),(137,1),(138,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(57,1),(92,1),(100,1),(125,1),(139,1),(155,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(56,1),(94,1)}
        11:{1,3,6,7}:{(4,1),(20,1),(25,1),(60,1),(127,1),(157,1),(160,1)}
        12:{1,2,5,7}:{(4,1),(21,1),(24,1),(25,1),(92,1),(134,1),(155,1)}
        13:{1,2,4,6,7}:{(8,1),(27,1),(28,1),(64,1),(65,1),(72,1),(115,1),(122,1),(123,1),(124,1),(149,1)}
        14:{2,4,5,7}:{(6,1),(29,1),(30,1),(31,1),(70,1),(149,1)}
        15:{2,5,6,7}:{(5,1),(32,1),(34,1),(70,1),(115,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(30,1),(32,1),(35,1)}
        17:{3,4,6,7}:{(6,1),(31,1),(36,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(34,1),(35,1),(74,1),(112,1),(118,1)}
        19:{2,4,6}:{(7,1),(10,1),(35,1),(36,1)}
        20:{2,3,6,7}:{(8,1),(11,1),(27,1),(37,1),(74,1),(81,1),(107,1),(115,1),(152,1)}
        21:{2,5,7}:{(8,1),(9,1),(34,1),(121,1),(142,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(35,1),(38,1),(42,1),(65,1),(79,1),(105,1)}
        23:{3,4,5,7}:{(10,1),(31,1),(36,1),(76,1),(116,1)}
        24:{1,2,5,6}:{(12,1),(34,1),(40,1),(41,1),(112,1),(121,1),(144,1),(148,1),(164,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(37,1),(40,1),(42,1)}
        26:{1,2,4,5,7}:{(12,1),(38,1),(41,1),(42,1),(43,1),(78,1),(79,1),(82,1),(120,1),(121,1),(145,1),(149,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(20,1),(45,1),(85,1),(102,1),(141,1),(160,1)}
        28:{1,2,5,7}:{(13,1),(21,1),(44,1),(45,1),(92,1),(134,1),(139,1)}
        29:{2,4,5,6}:{(14,1),(19,1),(47,1),(48,1),(89,1),(94,1),(159,1)}
        30:{1,4,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1),(92,1),(133,1)}
        31:{3,5,7}:{(14,1),(17,1),(48,1),(160,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1),(54,1)}
        33:{1,3,4,6,7}:{(16,1),(17,1),(50,1),(51,1),(52,1),(55,1),(90,1),(93,1),(133,1),(160,1)}
        34:{2,5,6}:{(18,1),(21,1),(54,1),(137,1)}
        35:{1,4,6}:{(18,1),(19,1),(22,1),(54,1)}
        36:{3,4,6}:{(19,1),(23,1),(48,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(25,1),(45,1),(53,1),(56,1),(57,1),(134,1),(160,1)}
        38:{2,4,5,7}:{(21,1),(22,1),(54,1),(56,1),(57,1),(94,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(50,1),(55,1),(57,1),(58,1),(61,1),(86,1),(90,1),(99,1),(100,1),(125,1),(130,1),(133,1),(158,1),(160,1),(171,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(53,1),(59,1),(60,1),(100,1),(127,1),(155,1),(170,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(54,1),(59,1),(60,1),(97,1),(101,1),(137,1),(159,1)}
        42:{1,4,7}:{(25,1),(56,1),(59,1)}
        43:{1,3,5,7}:{(26,1),(57,1),(60,1),(61,1),(62,1),(100,1),(157,1),(160,1),(170,1),(171,1)}
        44:{1,2,5,6}:{(28,1),(34,1),(63,1),(64,1),(112,1),(123,1),(142,1),(148,1),(153,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(37,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(38,1),(64,1),(65,1),(66,1),(78,1),(105,1),(108,1),(120,1),(124,1),(142,1),(149,1),(153,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(30,1),(35,1),(67,1),(68,1),(79,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(31,1),(36,1),(116,1),(167,1)}
        49:{2,4,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(113,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(33,1),(68,1),(69,1),(70,1)}
        51:{3,6,7}:{(32,1),(69,1),(74,1)}
        52:{2,4,6,7}:{(33,1),(70,1),(71,1),(72,1),(75,1),(113,1),(115,1),(149,1)}
        53:{2,3,5,6}:{(34,1),(37,1),(40,1),(63,1),(73,1),(74,1),(81,1),(107,1),(116,1),(121,1),(142,1),(148,1),(167,1),(168,1)}
        54:{2,4,6}:{(34,1),(35,1),(38,1),(74,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(39,1),(68,1),(74,1),(75,1),(110,1),(118,1),(147,1),(167,1)}
        56:{2,4,7}:{(37,1),(42,1),(65,1),(73,1),(76,1)}
        57:{3,5,7}:{(38,1),(74,1),(76,1),(116,1)}
        58:{2,4,5,7}:{(39,1),(70,1),(75,1),(77,1),(78,1),(82,1),(108,1),(113,1),(120,1),(121,1),(142,1),(146,1),(149,1),(166,1)}
        59:{1,4,6}:{(40,1),(42,1),(73,1),(79,1),(173,1)}
        60:{1,3,6}:{(41,1),(43,1),(74,1),(81,1),(167,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(76,1),(80,1),(82,1),(173,1),(174,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(120,1),(121,1),(152,1),(168,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(53,1),(84,1),(85,1),(102,1),(125,1),(139,1),(163,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(54,1),(84,1),(85,1),(97,1),(126,1),(137,1),(159,1)}
        65:{1,4,7}:{(45,1),(56,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(57,1),(85,1),(86,1),(87,1),(125,1),(141,1),(160,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(49,1),(54,1),(88,1),(89,1),(94,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(55,1),(88,1),(89,1),(100,1),(125,1)}
        69:{3,5,7}:{(49,1),(51,1),(88,1),(90,1)}
        70:{2,5,7}:{(50,1),(52,1),(89,1),(92,1)}
        71:{2,3,6,7}:{(51,1),(52,1),(91,1),(93,1),(96,1),(160,1)}
        72:{1,4,6,7}:{(52,1),(92,1),(93,1),(97,1),(133,1)}
        73:{2,4,6}:{(53,1),(56,1),(59,1),(84,1),(94,1),(95,1),(172,1)}
        74:{3,6}:{(54,1),(57,1)}
        75:{2,4,6}:{(55,1),(58,1),(89,1),(96,1),(97,1),(137,1)}
        76:{3,4,7}:{(56,1),(57,1),(95,1),(160,1)}
        77:{2,3,5,7}:{(57,1),(58,1),(96,1),(98,1),(99,1),(135,1),(160,1),(171,1)}
        78:{1,4,5,7}:{(58,1),(92,1),(97,1),(99,1),(103,1),(128,1),(133,1),(139,1),(155,1),(158,1)}
        79:{1,4,5}:{(59,1),(94,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(95,1),(100,1),(101,1)}
        81:{2,3,6}:{(60,1),(62,1),(101,1),(102,1),(137,1)}
        82:{2,4,7}:{(61,1),(62,1),(101,1),(103,1),(172,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(65,1),(73,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(74,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(76,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(120,1),(142,1),(152,1),(168,1)}
        88:{3,5,6}:{(67,1),(69,1),(74,1),(110,1),(116,1)}
        89:{2,5,6}:{(68,1),(70,1),(75,1),(112,1),(121,1),(142,1)}
        90:{3,4,7}:{(69,1),(110,1),(113,1)}
        91:{2,3,5,7}:{(69,1),(70,1),(71,1),(111,1),(113,1),(114,1)}
        92:{1,5,7}:{(70,1),(72,1),(112,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(114,1),(115,1),(118,1)}
        94:{2,4,5}:{(73,1),(79,1),(105,1),(116,1),(121,1),(142,1)}
        95:{3,4,6}:{(73,1),(74,1),(76,1),(116,1),(167,1),(174,1)}
        96:{2,3,6}:{(74,1),(75,1),(77,1),(118,1),(167,1)}
        97:{1,4,6}:{(75,1),(78,1),(112,1),(118,1)}
        98:{2,3,4,7}:{(76,1),(77,1),(82,1),(108,1),(113,1),(117,1),(119,1),(152,1),(174,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(118,1),(119,1),(120,1),(150,1)}
       100:{1,3,5}:{(79,1),(80,1),(116,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,3,6}:{(81,1),(83,1),(122,1),(123,1)}
       103:{1,4,7}:{(82,1),(83,1),(122,1),(169,1)}
       104:{1,2,5,7}:{(83,1),(120,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(94,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(95,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(137,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(90,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(91,1),(96,1),(131,1),(132,1),(135,1)}
       112:{1,5,6}:{(89,1),(92,1),(97,1),(139,1),(155,1)}
       113:{2,4,7}:{(90,1),(91,1),(131,1),(133,1)}
       114:{1,3,5,7}:{(91,1),(92,1),(93,1),(132,1),(133,1),(134,1),(160,1)}
       115:{2,6,7}:{(93,1),(134,1),(137,1)}
       116:{3,5}:{(94,1),(95,1)}
       117:{2,3,4,6}:{(95,1),(96,1),(98,1),(101,1),(126,1),(131,1),(135,1),(136,1),(162,1),(172,1)}
       118:{1,3,6}:{(96,1),(97,1),(99,1),(137,1)}
       119:{1,3,4,7}:{(98,1),(99,1),(103,1),(128,1),(133,1),(136,1),(138,1),(141,1),(157,1),(160,1)}
       120:{2,5,7}:{(99,1),(137,1),(138,1),(161,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,6}:{(102,1),(104,1),(137,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(138,1),(140,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(116,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(120,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(116,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(113,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(147,1),(148,1),(150,1),(167,1)}
       133:{1,4,7}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,5,7}:{(114,1),(115,1),(148,1),(149,1)}
       135:{2,3,5}:{(116,1),(117,1),(121,1),(142,1),(146,1),(150,1)}
       136:{1,3,4,6}:{(117,1),(118,1),(119,1),(122,1),(143,1),(147,1),(150,1),(151,1),(154,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       137:{2,6}:{(118,1),(120,1)}
       138:{2,4,7}:{(119,1),(120,1),(151,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(151,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(124,1),(152,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(137,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(138,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(135,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(133,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(134,1),(137,1),(159,1),(161,1)}
       149:{2,4,7}:{(133,1),(134,1),(159,1),(160,1)}
       150:{1,3,5}:{(135,1),(136,1),(139,1),(155,1),(158,1),(161,1),(171,1)}
       151:{2,4,6}:{(136,1),(137,1),(138,1),(161,1),(162,1),(172,1)}
       152:{2,3,7}:{(138,1),(141,1),(157,1),(160,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(161,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(162,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(151,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(152,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(149,1),(166,1),(167,1)}
       160:{3,7}:{(149,1),(167,1)}
       161:{2,5}:{(150,1),(151,1)}
       162:{2,3,6}:{(151,1),(152,1),(154,1),(165,1),(167,1),(168,1)}
       163:{1,3,5}:{(153,1),(154,1),(168,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(161,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(162,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(160,1),(171,1)}
       168:{2,3,5}:{(161,1),(162,1),(163,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2468 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2469 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2470 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2471 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2472 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2473 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2474 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2475 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2476 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2477 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2478 :   0:{4,5,6,7}:{(3,1),(172,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(145,1),(162,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(107,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(169,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(128,1),(153,1)}
         5:{3,4,5,7}:{(1,1),(9,1),(14,1),(158,1),(169,1)}
         6:{1,2,3,5}:{(11,1),(15,1),(40,1),(48,1)}
         7:{1,3,4,5}:{(2,1),(17,1),(18,1),(44,1),(48,1),(85,1)}
         8:{2,3,4,6}:{(2,1),(12,1),(18,1),(19,1),(93,1),(128,1)}
         9:{3,4,6,7}:{(3,1),(5,1),(21,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(164,1)}
        11:{1,2,3,6}:{(6,1),(20,1),(23,1),(70,1)}
        12:{2,3,5,6}:{(4,1),(8,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(4,1),(25,1),(27,1),(28,1),(109,1),(141,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(28,1),(147,1),(164,1)}
        15:{1,2,4}:{(6,1),(29,1)}
        16:{2,3,4}:{(29,1),(31,1)}
        17:{2,4,5}:{(7,1),(31,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(25,1),(32,1),(33,1),(66,1),(70,1),(109,1)}
        19:{2,3,4,7}:{(8,1),(26,1),(33,1),(115,1),(147,1)}
        20:{1,2,3,7}:{(11,1),(34,1),(95,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(14,1),(36,1),(37,1)}
        22:{1,5,6,7}:{(10,1),(37,1),(38,1),(155,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(34,1),(39,1),(40,1),(76,1)}
        24:{2,3,4,6}:{(16,1),(35,1),(39,1),(41,1),(51,1),(78,1),(88,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(18,1),(42,1),(43,1),(45,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(19,1),(36,1),(43,1)}
        27:{2,4,5,6}:{(13,1),(42,1),(45,1),(46,1),(82,1),(88,1),(123,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(37,1),(43,1),(46,1),(131,1),(155,1)}
        29:{1,3,4}:{(15,1),(16,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(15,1),(17,1),(40,1),(48,1),(49,1),(85,1),(92,1)}
        31:{2,3,5}:{(16,1),(17,1),(48,1),(51,1)}
        32:{2,4,6}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(43,1),(52,1),(91,1),(95,1),(131,1)}
        34:{1,2,4,7}:{(20,1),(23,1),(53,1),(54,1)}
        35:{2,3,4,7}:{(24,1),(53,1),(55,1),(73,1),(112,1)}
        36:{2,3,6,7}:{(21,1),(26,1),(56,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(56,1),(58,1)}
        38:{2,5,6,7}:{(22,1),(58,1),(59,1),(143,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(29,1),(53,1),(60,1),(61,1),(70,1),(100,1),(109,1)}
        40:{1,2,5}:{(23,1),(61,1)}
        41:{2,3,5}:{(24,1),(61,1),(63,1)}
        42:{2,5,6}:{(25,1),(32,1),(65,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(33,1),(56,1),(65,1),(67,1)}
        44:{3,4,5}:{(63,1),(66,1)}
        45:{3,5,6}:{(27,1),(66,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(58,1),(65,1),(67,1),(106,1),(112,1),(143,1)}
        47:{2,3,4}:{(29,1),(68,1)}
        48:{1,3,5}:{(29,1),(30,1),(31,1),(68,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(32,1),(62,1),(70,1),(71,1),(109,1),(114,1)}
        50:{2,3,4,5}:{(31,1),(63,1),(69,1),(72,1)}
        51:{2,3,6}:{(31,1),(32,1),(70,1),(73,1)}
        52:{2,4,7}:{(32,1),(33,1),(65,1),(73,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(74,1),(75,1),(95,1),(131,1)}
        54:{1,2,5,7}:{(34,1),(40,1),(75,1),(76,1)}
        55:{2,3,5,7}:{(35,1),(41,1),(75,1),(77,1),(78,1)}
        56:{1,3,6,7}:{(36,1),(37,1),(43,1),(79,1),(81,1)}
        57:{3,4,5,7}:{(44,1),(77,1),(80,1),(91,1),(125,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(46,1),(79,1),(81,1),(83,1)}
        59:{3,5,6,7}:{(38,1),(81,1),(83,1),(125,1)}
        60:{2,3,4,6}:{(39,1),(47,1),(74,1),(84,1),(93,1),(120,1),(128,1)}
        61:{1,3,5}:{(39,1),(40,1),(41,1),(84,1),(85,1)}
        62:{1,2,5,6}:{(40,1),(42,1),(49,1),(76,1),(86,1),(87,1),(134,1)}
        63:{2,4,5}:{(41,1),(44,1),(85,1),(88,1)}
        64:{2,3,5,6}:{(41,1),(42,1),(45,1),(51,1),(78,1),(86,1),(88,1),(89,1),(123,1)}
        65:{2,5,7}:{(42,1),(43,1),(52,1),(79,1)}
        66:{3,4,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(46,1),(81,1),(91,1)}
        68:{2,3,5}:{(47,1),(48,1),(92,1),(93,1)}
        69:{1,3,4,5}:{(48,1),(50,1),(85,1),(92,1),(94,1),(127,1)}
        70:{1,3,6}:{(48,1),(49,1),(51,1),(93,1),(95,1)}
        71:{1,2,4,7}:{(49,1),(52,1),(87,1),(95,1),(131,1),(135,1)}
        72:{2,3,4,6}:{(50,1),(51,1),(88,1),(94,1),(96,1),(97,1)}
        73:{2,3,7}:{(51,1),(52,1),(95,1)}
        74:{2,3,4,7}:{(53,1),(60,1),(98,1),(115,1),(147,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(55,1),(61,1),(98,1),(99,1),(100,1)}
        76:{1,2,6}:{(54,1),(100,1)}
        77:{2,4,5,7}:{(55,1),(57,1),(63,1),(99,1),(102,1),(112,1),(143,1)}
        78:{2,3,6}:{(55,1),(100,1),(102,1)}
        79:{2,6,7}:{(56,1),(65,1)}
        80:{3,4,6}:{(57,1),(102,1),(104,1)}
        81:{3,6,7}:{(58,1),(67,1)}
        82:{4,5,6}:{(104,1),(106,1)}
        83:{4,6,7}:{(59,1),(106,1)}
        84:{2,3,5}:{(60,1),(61,1),(107,1)}
        85:{1,4,5}:{(61,1),(63,1),(107,1),(109,1)}
        86:{1,3,5,6}:{(61,1),(62,1),(64,1),(70,1),(100,1),(108,1),(109,1),(110,1),(141,1)}
        87:{1,2,5,7}:{(62,1),(65,1),(71,1),(101,1),(110,1),(150,1)}
        88:{2,4,6}:{(63,1),(64,1),(66,1),(109,1),(112,1)}
        89:{2,3,5,7}:{(64,1),(65,1),(67,1),(73,1),(103,1),(110,1),(112,1),(143,1)}
        90:{3,4,5,6}:{(66,1),(104,1),(111,1),(113,1)}
        91:{3,4,7}:{(66,1),(67,1),(112,1)}
        92:{2,4,5}:{(68,1),(69,1),(114,1)}
        93:{2,3,6}:{(68,1),(70,1),(114,1),(115,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(72,1),(109,1),(114,1),(116,1),(117,1),(145,1)}
        95:{1,3,7}:{(70,1),(71,1),(73,1),(115,1)}
        96:{2,3,5,6}:{(72,1),(111,1),(116,1),(118,1)}
        97:{2,3,4,7}:{(72,1),(73,1),(112,1),(117,1),(118,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(84,1),(119,1),(120,1)}
        99:{1,4,5,7}:{(75,1),(77,1),(85,1),(119,1),(121,1),(131,1),(155,1)}
       100:{1,3,6}:{(75,1),(76,1),(78,1),(120,1),(121,1)}
       101:{1,2,6,7}:{(76,1),(79,1),(87,1),(122,1),(161,1)}
       102:{2,4,6}:{(77,1),(78,1),(80,1),(121,1),(123,1)}
       103:{2,3,6,7}:{(78,1),(79,1),(81,1),(89,1),(122,1),(124,1)}
       104:{3,5,6}:{(80,1),(82,1),(123,1),(125,1)}
       105:{3,4,6,7}:{(80,1),(81,1),(83,1),(91,1),(124,1),(125,1)}
       106:{4,5,7}:{(82,1),(83,1),(125,1)}
       107:{2,4,5}:{(84,1),(85,1),(127,1),(128,1)}
       108:{2,3,5,6}:{(84,1),(86,1),(93,1),(120,1),(128,1),(129,1),(134,1),(153,1),(157,1)}
       109:{1,4,6}:{(85,1),(86,1),(88,1),(128,1),(131,1)}
       110:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(122,1),(129,1),(131,1),(155,1)}
       111:{2,4,5,6}:{(88,1),(90,1),(96,1),(123,1),(130,1),(132,1)}
       112:{2,4,7}:{(88,1),(89,1),(91,1),(131,1)}
       113:{3,4,5,7}:{(90,1),(91,1),(125,1),(132,1),(133,1)}
       114:{2,4,6}:{(92,1),(93,1),(94,1),(134,1),(135,1)}
       115:{2,3,7}:{(93,1),(95,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(96,1),(130,1),(134,1),(136,1),(157,1)}
       117:{1,3,4,7}:{(94,1),(95,1),(97,1),(131,1),(135,1),(136,1),(158,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(132,1),(136,1),(137,1)}
       119:{2,4,5,7}:{(98,1),(99,1),(107,1),(138,1),(139,1),(147,1),(164,1)}
       120:{2,3,6}:{(98,1),(100,1),(139,1)}
       121:{1,4,6}:{(99,1),(100,1),(102,1),(139,1),(141,1)}
       122:{1,3,6,7}:{(100,1),(101,1),(103,1),(110,1),(140,1),(142,1)}
       123:{2,5,6}:{(102,1),(104,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(102,1),(103,1),(105,1),(112,1),(142,1),(143,1)}
       125:{3,5,7}:{(104,1),(105,1),(106,1),(143,1)}
       126:{4,5,6,7}:{(106,1),(144,1)}
       127:{3,4,5}:{(107,1),(145,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1),(147,1)}
       129:{2,3,5,7}:{(108,1),(110,1),(115,1),(140,1),(147,1),(150,1),(164,1),(166,1)}
       130:{1,4,5,6}:{(109,1),(111,1),(116,1),(141,1),(146,1),(148,1)}
       131:{1,4,7}:{(109,1),(110,1),(112,1),(147,1)}
       132:{2,4,5,7}:{(111,1),(112,1),(113,1),(118,1),(143,1),(148,1),(149,1)}
       133:{3,4,6,7}:{(113,1),(144,1),(149,1)}
       134:{2,5,6}:{(114,1),(116,1),(150,1)}
       135:{2,4,7}:{(114,1),(115,1),(117,1),(150,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(148,1),(150,1),(151,1),(166,1)}
       137:{2,3,6,7}:{(118,1),(149,1),(151,1)}
       138:{3,4,5,7}:{(119,1),(127,1),(152,1),(158,1),(169,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(152,1),(153,1)}
       140:{2,3,6,7}:{(120,1),(122,1),(129,1),(154,1),(161,1),(171,1)}
       141:{1,5,6}:{(121,1),(123,1),(153,1),(155,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(131,1),(154,1),(155,1)}
       143:{2,5,7}:{(123,1),(124,1),(125,1),(155,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(133,1),(156,1)}
       145:{3,4,6}:{(127,1),(128,1),(157,1),(158,1)}
       146:{2,4,5,6}:{(128,1),(130,1),(134,1),(153,1),(157,1),(159,1),(168,1)}
       147:{2,4,7}:{(128,1),(129,1),(131,1),(158,1)}
       148:{1,4,5,7}:{(130,1),(131,1),(132,1),(136,1),(155,1),(159,1),(160,1)}
       149:{2,4,6,7}:{(132,1),(133,1),(137,1),(156,1),(160,1)}
       150:{2,5,7}:{(134,1),(135,1),(136,1),(161,1)}
       151:{1,3,6,7}:{(136,1),(137,1),(160,1),(161,1),(171,1)}
       152:{3,4,6}:{(138,1),(139,1),(162,1)}
       153:{2,5,6}:{(139,1),(141,1),(162,1),(164,1)}
       154:{2,4,6,7}:{(139,1),(140,1),(142,1),(147,1),(163,1),(164,1)}
       155:{1,5,7}:{(141,1),(142,1),(143,1),(164,1)}
       156:{2,5,6,7}:{(143,1),(144,1),(149,1),(165,1)}
       157:{3,5,6}:{(145,1),(146,1),(166,1)}
       158:{3,4,7}:{(145,1),(147,1),(166,1)}
       159:{2,4,5,7}:{(146,1),(147,1),(148,1),(150,1),(164,1),(166,1),(167,1),(172,1)}
       160:{1,4,6,7}:{(148,1),(149,1),(151,1),(165,1),(167,1)}
       161:{2,6,7}:{(150,1),(151,1)}
       162:{3,5,6}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(154,1),(158,1),(169,1),(171,1),(174,1)}
       164:{2,5,7}:{(153,1),(154,1),(155,1),(169,1)}
       165:{1,5,6,7}:{(155,1),(156,1),(160,1),(170,1)}
       166:{3,5,7}:{(157,1),(158,1),(159,1),(171,1)}
       167:{2,4,6,7}:{(159,1),(160,1),(161,1),(170,1),(171,1),(174,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(164,1),(172,1)}
       170:{2,5,6,7}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,6,7}:{(166,1),(167,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2479 :   0:{2,3,4,5,7}:{(1,1),(2,1),(16,1),(17,1),(129,1),(132,1),(212,1),(213,1),(215,1),(223,1),(279,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(9,1),(28,1),(34,1),(102,1),(104,1),(153,1),(155,1),(170,1),(173,1),(257,1),(259,1),(266,1),(316,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(37,1),(96,1),(255,1),(265,1),(315,1)}
         3:{1,2,4,5,7}:{(6,1),(9,1),(10,1),(11,1),(42,1),(48,1),(102,1),(104,1),(316,1),(317,1),(318,1),(321,1)}
         4:{1,2,3,5,7}:{(9,1),(11,1),(12,1),(48,1),(321,1),(322,1),(323,1)}
         5:{2,3,4,6,7}:{(2,1),(15,1),(16,1),(58,1),(59,1),(129,1),(208,1),(209,1),(213,1),(220,1),(276,1)}
         6:{2,4,5,7}:{(1,1),(17,1),(18,1),(60,1),(129,1),(132,1),(298,1),(299,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(18,1),(19,1),(23,1),(52,1),(72,1),(117,1),(133,1),(304,1),(346,1)}
         8:{2,3,5,6}:{(2,1),(16,1),(19,1),(20,1),(292,1),(301,1),(343,1)}
         9:{1,3,5,7}:{(3,1),(17,1),(22,1),(23,1),(71,1),(348,1),(349,1)}
        10:{1,2,4,6}:{(3,1),(18,1),(23,1),(24,1),(72,1),(346,1),(350,1)}
        11:{1,2,4,7}:{(4,1),(22,1),(26,1),(352,1)}
        12:{1,2,3,6}:{(4,1),(23,1),(26,1),(350,1)}
        13:{1,2,4,5,7}:{(6,1),(28,1),(29,1),(30,1),(79,1),(85,1),(153,1),(155,1),(266,1),(267,1),(268,1),(271,1)}
        14:{1,2,3,5,7}:{(28,1),(30,1),(31,1),(85,1),(271,1),(272,1),(273,1)}
        15:{1,3,4,6,7}:{(5,1),(7,1),(33,1),(34,1),(41,1),(78,1),(89,1),(102,1),(153,1),(166,1),(170,1),(254,1),(257,1),(263,1),(313,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(34,1),(35,1),(252,1),(262,1),(312,1)}
        17:{2,3,5,7}:{(6,1),(9,1),(28,1),(36,1),(37,1),(95,1),(333,1),(334,1)}
        18:{2,4,6}:{(6,1),(7,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(7,1),(8,1),(34,1),(38,1),(39,1),(97,1),(335,1),(367,1)}
        20:{2,4,5,6}:{(8,1),(35,1),(39,1),(40,1),(96,1)}
        21:{1,2,4,6,7}:{(10,1),(33,1),(41,1),(42,1),(102,1),(313,1),(314,1),(317,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(43,1),(102,1),(372,1)}
        23:{1,3,6}:{(9,1),(10,1),(37,1)}
        24:{1,2,5,6}:{(10,1),(38,1),(42,1),(44,1),(48,1),(367,1)}
        25:{1,2,3,6,7}:{(12,1),(41,1),(46,1),(47,1),(178,1),(186,1),(314,1),(322,1),(369,1),(373,1)}
        26:{1,2,4,6}:{(11,1),(12,1),(43,1),(48,1)}
        27:{1,2,3,5,6}:{(12,1),(44,1),(47,1),(48,1),(49,1),(106,1),(107,1),(110,1),(186,1),(242,1),(319,1),(323,1),(373,1),(398,1),(401,1)}
        28:{1,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(116,1),(306,1),(307,1)}
        29:{1,2,4,6}:{(13,1),(18,1),(52,1),(53,1),(117,1),(304,1),(308,1)}
        30:{1,2,4,7}:{(14,1),(51,1),(55,1),(310,1)}
        31:{1,2,3,6}:{(14,1),(52,1),(55,1),(308,1)}
        32:{2,3,5,6,7}:{(16,1),(57,1),(58,1),(124,1),(206,1),(209,1)}
        33:{2,4,6,7}:{(15,1),(18,1),(59,1),(60,1),(129,1),(295,1),(298,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(19,1),(60,1),(61,1),(130,1),(302,1),(344,1)}
        35:{2,4,5,7}:{(16,1),(20,1),(58,1),(61,1),(62,1),(129,1)}
        36:{2,3,4,7}:{(17,1),(22,1),(51,1),(63,1),(129,1),(361,1)}
        37:{2,3,6}:{(17,1),(18,1),(23,1),(52,1)}
        38:{2,5,6}:{(18,1),(19,1),(60,1)}
        39:{1,4,5,6}:{(19,1),(20,1),(61,1),(65,1),(72,1),(117,1)}
        40:{3,4,5,6}:{(20,1),(62,1),(133,1),(292,1)}
        41:{1,3,6,7}:{(21,1),(23,1),(59,1),(69,1),(348,1)}
        42:{1,2,5,7}:{(21,1),(24,1),(60,1),(69,1),(344,1)}
        43:{1,3,4,6}:{(22,1),(23,1),(26,1),(63,1),(71,1),(72,1)}
        44:{1,3,5,6}:{(23,1),(24,1),(64,1),(69,1),(71,1),(72,1)}
        45:{1,2,4,5,6}:{(24,1),(65,1),(70,1),(72,1),(73,1),(76,1),(135,1),(143,1),(145,1),(217,1),(218,1),(283,1),(301,1),(386,1),(391,1),(407,1)}
        46:{1,2,4,6,7}:{(25,1),(26,1),(68,1),(74,1),(75,1),(145,1),(220,1),(286,1),(350,1),(390,1)}
        47:{1,2,3,5,7}:{(25,1),(27,1),(69,1),(74,1),(75,1),(141,1),(146,1),(281,1),(348,1),(387,1)}
        48:{1,2,5}:{(26,1),(71,1)}
        49:{1,2,4,6}:{(27,1),(72,1),(75,1),(76,1),(77,1),(143,1),(352,1),(407,1)}
        50:{1,2,4,6,7}:{(29,1),(33,1),(78,1),(79,1),(153,1),(263,1),(264,1),(267,1)}
        51:{1,3,4,7}:{(28,1),(30,1),(36,1),(80,1),(153,1),(340,1)}
        52:{1,3,6}:{(28,1),(29,1),(37,1)}
        53:{1,2,5,6}:{(29,1),(38,1),(79,1),(81,1),(85,1),(335,1)}
        54:{1,2,3,6,7}:{(31,1),(78,1),(83,1),(84,1),(235,1),(243,1),(264,1),(272,1),(337,1),(341,1)}
        55:{1,2,4,6}:{(30,1),(31,1),(80,1),(85,1)}
        56:{1,2,3,5,6}:{(31,1),(81,1),(84,1),(85,1),(86,1),(157,1),(158,1),(161,1),(185,1),(243,1),(269,1),(273,1),(341,1),(382,1),(385,1)}
        57:{1,3,5,6,7}:{(32,1),(34,1),(88,1),(89,1),(166,1),(250,1),(254,1)}
        58:{2,4,6,7}:{(32,1),(35,1),(89,1),(90,1)}
        59:{2,3,6,7}:{(33,1),(37,1),(41,1),(78,1),(92,1),(166,1),(333,1)}
        60:{2,5,7}:{(33,1),(34,1),(38,1)}
        61:{1,4,5,7}:{(34,1),(35,1),(39,1),(89,1),(93,1),(102,1),(153,1)}
        62:{3,4,5,7}:{(35,1),(40,1),(90,1),(170,1),(252,1)}
        63:{2,3,4,6}:{(36,1),(37,1),(43,1),(80,1),(95,1),(96,1)}
        64:{2,3,5,6}:{(37,1),(38,1),(44,1),(81,1),(92,1),(95,1),(96,1),(97,1)}
        65:{2,4,5,6}:{(38,1),(39,1),(93,1),(96,1),(97,1)}
        66:{1,3,4,5,6}:{(39,1),(40,1),(94,1),(97,1),(98,1),(105,1),(156,1),(175,1),(261,1),(311,1),(324,1),(375,1),(402,1)}
        67:{1,2,5,6,7}:{(42,1),(88,1),(99,1),(100,1),(107,1),(250,1),(262,1),(314,1),(327,1),(368,1)}
        68:{1,3,4,6,7}:{(41,1),(43,1),(46,1),(91,1),(101,1),(102,1),(109,1),(179,1),(186,1),(245,1),(313,1),(320,1),(369,1),(399,1),(400,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(44,1),(92,1),(102,1)}
        70:{1,2,4,5,7}:{(42,1),(45,1),(93,1),(100,1),(102,1),(103,1),(172,1),(176,1),(181,1),(258,1),(262,1),(317,1),(368,1),(376,1),(399,1)}
        71:{1,3,5}:{(43,1),(48,1),(95,1),(104,1)}
        72:{1,4,6}:{(44,1),(96,1),(102,1),(104,1)}
        73:{1,3,5,6}:{(45,1),(97,1),(103,1),(105,1),(106,1),(110,1),(186,1),(319,1),(402,1)}
        74:{1,2,5,7}:{(46,1),(48,1),(101,1),(107,1),(262,1),(401,1)}
        75:{1,2,4,7}:{(47,1),(49,1),(102,1),(109,1),(181,1),(399,1)}
        76:{1,2,4,5}:{(48,1),(49,1),(104,1),(110,1),(183,1),(401,1),(411,1)}
        77:{1,3,4,6}:{(49,1),(109,1),(110,1),(111,1),(186,1),(319,1),(372,1)}
        78:{1,3,6,7}:{(50,1),(52,1),(59,1),(114,1),(306,1)}
        79:{1,2,5,7}:{(50,1),(53,1),(60,1),(114,1),(302,1)}
        80:{1,3,4,6}:{(51,1),(52,1),(55,1),(63,1),(116,1),(117,1)}
        81:{1,3,5,6}:{(52,1),(53,1),(64,1),(114,1),(116,1),(117,1)}
        82:{1,2,4,5,6}:{(53,1),(65,1),(115,1),(117,1),(118,1),(121,1),(135,1),(198,1),(200,1),(217,1),(227,1),(274,1),(343,1),(362,1),(391,1),(396,1)}
        83:{1,2,4,6,7}:{(54,1),(55,1),(113,1),(119,1),(120,1),(200,1),(230,1),(276,1),(308,1),(366,1)}
        84:{1,2,3,5,7}:{(54,1),(56,1),(114,1),(119,1),(120,1),(196,1),(201,1),(225,1),(306,1),(363,1)}
        85:{1,2,5}:{(55,1),(116,1)}
        86:{1,2,4,6}:{(56,1),(117,1),(120,1),(121,1),(122,1),(198,1),(310,1),(396,1)}
        87:{2,4,5,6,7}:{(58,1),(123,1),(124,1),(206,1),(207,1),(355,1)}
        88:{2,5,6,7}:{(57,1),(60,1),(126,1),(295,1)}
        89:{1,4,6,7}:{(57,1),(58,1),(61,1),(126,1)}
        90:{3,4,6,7}:{(58,1),(62,1),(124,1)}
        91:{2,3,4,6,7}:{(59,1),(63,1),(68,1),(113,1),(128,1),(129,1),(147,1),(202,1),(208,1),(211,1),(220,1),(228,1),(276,1),(284,1),(358,1),(394,1),(395,1)}
        92:{2,3,5,7}:{(59,1),(60,1),(64,1),(69,1),(114,1),(129,1),(130,1)}
        93:{2,4,5,7}:{(60,1),(61,1),(65,1),(126,1),(129,1),(130,1)}
        94:{1,3,4,5,7}:{(61,1),(62,1),(66,1),(127,1),(130,1),(131,1),(140,1),(195,1),(214,1),(219,1),(275,1),(289,1),(354,1),(392,1)}
        95:{2,3,5}:{(63,1),(71,1),(116,1),(132,1)}
        96:{2,4,6}:{(64,1),(72,1),(117,1),(129,1),(132,1),(133,1)}
        97:{3,5,6}:{(65,1),(130,1),(133,1)}
        98:{2,4,5,6}:{(66,1),(131,1),(134,1),(135,1),(143,1),(198,1),(217,1),(301,1),(343,1)}
        99:{1,3,5,6,7}:{(67,1),(69,1),(125,1),(136,1),(137,1),(138,1),(219,1),(277,1),(344,1),(387,1)}
       100:{1,2,4,6,7}:{(67,1),(70,1),(126,1),(136,1),(137,1),(145,1),(210,1),(220,1),(295,1),(355,1)}
       101:{1,3,5,7}:{(68,1),(71,1),(74,1),(128,1),(138,1),(139,1),(344,1),(408,1)}
       102:{1,4,7}:{(69,1),(72,1),(129,1)}
       103:{1,3,5,7}:{(70,1),(73,1),(130,1),(137,1),(140,1),(141,1),(348,1),(392,1)}
       104:{1,4,5}:{(71,1),(72,1),(132,1)}
       105:{1,3,4,6}:{(72,1),(73,1),(133,1),(140,1),(142,1),(143,1),(407,1),(409,1)}
       106:{2,3,5,6}:{(73,1),(141,1),(143,1),(144,1),(148,1),(217,1),(228,1),(300,1),(301,1)}
       107:{1,2,5,6}:{(74,1),(138,1),(145,1),(301,1),(350,1)}
       108:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(139,1),(145,1),(146,1),(223,1)}
       109:{1,3,4,7}:{(75,1),(77,1),(146,1),(147,1),(348,1)}
       110:{1,3,5}:{(76,1),(77,1),(148,1)}
       111:{2,3,4,6}:{(77,1),(143,1),(147,1),(148,1),(149,1),(228,1),(300,1),(361,1)}
       112:{1,2,5,6,7}:{(79,1),(88,1),(150,1),(151,1),(158,1),(250,1),(264,1),(312,1),(327,1),(336,1)}
       113:{1,3,4,6,7}:{(78,1),(80,1),(83,1),(91,1),(152,1),(153,1),(160,1),(188,1),(236,1),(243,1),(263,1),(270,1),(337,1),(383,1),(384,1)}
       114:{1,3,5,7}:{(78,1),(79,1),(81,1),(92,1),(153,1)}
       115:{1,2,4,5,7}:{(79,1),(82,1),(93,1),(151,1),(153,1),(154,1),(172,1),(233,1),(238,1),(258,1),(267,1),(312,1),(336,1),(376,1),(383,1)}
       116:{1,3,5}:{(80,1),(85,1),(95,1),(155,1)}
       117:{1,4,6}:{(81,1),(96,1),(153,1),(155,1)}
       118:{1,3,5,6}:{(82,1),(97,1),(154,1),(156,1),(157,1),(161,1),(243,1),(269,1),(402,1)}
       119:{1,2,5,7}:{(83,1),(85,1),(152,1),(158,1),(312,1),(385,1)}
       120:{1,2,4,7}:{(84,1),(86,1),(153,1),(160,1),(238,1),(383,1)}
       121:{1,2,4,5}:{(85,1),(86,1),(155,1),(161,1),(240,1),(385,1),(406,1)}
       122:{1,3,4,6}:{(86,1),(160,1),(161,1),(162,1),(243,1),(269,1),(340,1)}
       123:{1,4,5,6,7}:{(87,1),(89,1),(163,1),(164,1),(176,1),(233,1),(250,1),(326,1)}
       124:{3,5,6,7}:{(87,1),(90,1),(252,1),(377,1)}
       125:{2,3,5,6,7}:{(88,1),(92,1),(99,1),(150,1),(165,1),(166,1),(168,1),(178,1),(235,1),(252,1),(262,1),(312,1),(327,1),(377,1),(379,1)}
       126:{2,4,6,7}:{(88,1),(89,1),(93,1),(166,1)}
       127:{1,3,4,6,7}:{(89,1),(90,1),(94,1),(164,1),(166,1),(167,1),(248,1),(254,1),(326,1),(377,1)}
       128:{2,3,5,7}:{(91,1),(95,1),(101,1),(152,1),(168,1),(169,1),(252,1),(262,1),(312,1),(405,1)}
       129:{2,4,7}:{(92,1),(96,1),(102,1),(153,1),(170,1)}
       130:{3,5,7}:{(93,1),(97,1),(166,1),(170,1)}
       131:{2,4,5,7}:{(94,1),(98,1),(167,1),(171,1),(172,1),(181,1),(238,1),(258,1),(262,1),(312,1)}
       132:{2,4,5}:{(95,1),(96,1),(104,1),(155,1),(173,1)}
       133:{3,4,6}:{(96,1),(97,1),(170,1),(173,1)}
       134:{2,3,5,6}:{(97,1),(98,1),(171,1),(174,1),(175,1),(402,1)}
       135:{1,4,5,6}:{(98,1),(172,1),(175,1),(184,1),(241,1),(335,1),(367,1)}
       136:{1,4,6,7}:{(99,1),(102,1),(165,1),(176,1),(179,1),(399,1)}
       137:{1,3,6,7}:{(100,1),(103,1),(166,1),(178,1),(186,1),(377,1)}
       138:{1,3,5,6}:{(101,1),(107,1),(168,1),(179,1),(186,1),(320,1),(367,1)}
       139:{1,4,5,7}:{(101,1),(102,1),(104,1),(169,1),(179,1),(399,1),(411,1)}
       140:{1,3,4,7}:{(102,1),(103,1),(105,1),(170,1),(181,1),(399,1),(403,1)}
       141:{2,3,5,7}:{(103,1),(106,1),(178,1),(181,1),(182,1),(258,1),(262,1),(333,1)}
       142:{1,3,4,5}:{(104,1),(105,1),(110,1),(173,1),(183,1),(411,1),(412,1)}
       143:{2,4,6}:{(105,1),(106,1),(181,1),(183,1),(184,1)}
       144:{1,3,5,6}:{(106,1),(182,1),(184,1),(185,1),(189,1),(269,1),(270,1),(335,1)}
       145:{1,2,4,6}:{(107,1),(108,1),(179,1),(186,1),(265,1)}
       146:{1,3,5,7}:{(108,1),(109,1),(110,1),(186,1),(187,1)}
       147:{2,3,4,7}:{(109,1),(111,1),(181,1),(187,1),(188,1),(333,1)}
       148:{2,3,5}:{(110,1),(111,1),(183,1),(189,1)}
       149:{1,3,4,6}:{(111,1),(184,1),(188,1),(189,1),(190,1),(269,1),(270,1),(340,1)}
       150:{1,3,5,6,7}:{(112,1),(114,1),(125,1),(191,1),(192,1),(193,1),(221,1),(275,1),(302,1),(363,1)}
       151:{1,2,4,6,7}:{(112,1),(115,1),(126,1),(191,1),(192,1),(200,1),(210,1),(276,1),(295,1),(355,1)}
       152:{1,3,5,7}:{(113,1),(116,1),(119,1),(128,1),(193,1),(194,1),(302,1),(397,1)}
       153:{1,4,7}:{(114,1),(117,1),(129,1)}
       154:{1,3,5,7}:{(115,1),(118,1),(130,1),(192,1),(195,1),(196,1),(306,1),(392,1)}
       155:{1,4,5}:{(116,1),(117,1),(132,1)}
       156:{1,3,4,6}:{(117,1),(118,1),(133,1),(195,1),(197,1),(198,1),(396,1),(409,1)}
       157:{2,3,5,6}:{(118,1),(196,1),(198,1),(199,1),(203,1),(217,1),(284,1),(300,1),(343,1)}
       158:{1,2,5,6}:{(119,1),(193,1),(200,1),(308,1),(343,1)}
       159:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(194,1),(200,1),(201,1),(279,1)}
       160:{1,3,4,7}:{(120,1),(122,1),(201,1),(202,1),(306,1)}
       161:{1,3,5}:{(121,1),(122,1),(203,1)}
       162:{2,3,4,6}:{(122,1),(198,1),(202,1),(203,1),(204,1),(284,1),(300,1),(361,1)}
       163:{2,4,5,6,7}:{(123,1),(126,1),(205,1),(206,1),(207,1),(290,1)}
       164:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(205,1),(206,1),(219,1),(275,1)}
       165:{2,4,6,7}:{(125,1),(129,1),(136,1),(191,1),(207,1),(208,1),(211,1),(394,1)}
       166:{3,6,7}:{(126,1),(130,1)}
       167:{2,4,6,7}:{(127,1),(131,1),(206,1),(209,1),(210,1),(295,1)}
       168:{2,3,5,6}:{(128,1),(138,1),(193,1),(211,1),(228,1),(284,1),(292,1),(301,1),(343,1)}
       169:{2,4,5,7}:{(128,1),(129,1),(132,1),(139,1),(194,1),(211,1),(212,1),(394,1),(410,1)}
       170:{3,4,7}:{(129,1),(130,1),(133,1)}
       171:{2,3,5,7}:{(130,1),(131,1),(134,1),(209,1),(213,1),(214,1),(392,1)}
       172:{1,4,5,7}:{(131,1),(135,1),(210,1),(214,1),(224,1),(280,1),(302,1),(344,1)}
       173:{3,4,5}:{(132,1),(133,1)}
       174:{2,3,4,6}:{(133,1),(134,1),(143,1),(198,1),(213,1),(215,1),(216,1),(300,1),(409,1)}
       175:{1,3,5,6}:{(134,1),(135,1),(214,1),(216,1),(217,1)}
       176:{1,4,5,7}:{(136,1),(207,1),(218,1),(219,1),(344,1)}
       177:{1,3,4,6,7}:{(136,1),(137,1),(140,1),(208,1),(219,1),(220,1),(222,1)}
       178:{2,3,6,7}:{(137,1),(141,1),(220,1),(221,1),(228,1),(295,1)}
       179:{1,4,6}:{(138,1),(139,1),(211,1)}
       180:{1,3,4,5,7}:{(139,1),(140,1),(142,1),(146,1),(212,1),(219,1),(222,1),(223,1)}
       181:{2,4,7}:{(140,1),(141,1),(143,1),(224,1)}
       182:{1,3,5,7}:{(141,1),(144,1),(221,1),(224,1),(225,1),(302,1),(306,1)}
       183:{2,4,5}:{(142,1),(143,1),(148,1),(226,1)}
       184:{1,4,6}:{(143,1),(144,1),(224,1),(226,1)}
       185:{1,2,5,6}:{(144,1),(217,1),(225,1),(227,1),(231,1),(308,1)}
       186:{1,3,6}:{(145,1),(146,1),(228,1)}
       187:{2,3,5,7}:{(146,1),(147,1),(148,1),(223,1),(228,1),(229,1)}
       188:{1,3,4,7}:{(147,1),(149,1),(224,1),(229,1),(230,1),(306,1)}
       189:{1,3,5}:{(148,1),(149,1),(226,1),(231,1)}
       190:{1,2,4,6}:{(149,1),(230,1),(231,1),(232,1),(308,1),(310,1)}
       191:{1,4,6,7}:{(150,1),(153,1),(165,1),(233,1),(236,1),(383,1)}
       192:{1,3,6,7}:{(151,1),(154,1),(166,1),(235,1),(243,1),(377,1)}
       193:{1,3,5,6}:{(152,1),(158,1),(168,1),(236,1),(243,1),(270,1),(335,1)}
       194:{1,4,5,7}:{(152,1),(153,1),(155,1),(169,1),(236,1),(383,1),(406,1)}
       195:{1,3,4,7}:{(153,1),(154,1),(156,1),(170,1),(238,1),(383,1),(403,1)}
       196:{2,3,5,7}:{(154,1),(157,1),(235,1),(238,1),(239,1),(258,1),(312,1),(333,1)}
       197:{1,3,4,5}:{(155,1),(156,1),(161,1),(173,1),(240,1),(406,1),(412,1)}
       198:{2,4,6}:{(156,1),(157,1),(238,1),(240,1),(241,1)}
       199:{1,3,5,6}:{(157,1),(239,1),(241,1),(242,1),(246,1),(319,1),(320,1),(367,1)}
       200:{1,2,4,6}:{(158,1),(159,1),(236,1),(243,1),(315,1)}
       201:{1,3,5,7}:{(159,1),(160,1),(161,1),(243,1),(244,1)}
       202:{2,3,4,7}:{(160,1),(162,1),(238,1),(244,1),(245,1),(333,1)}
       203:{2,3,5}:{(161,1),(162,1),(240,1),(246,1)}
       204:{1,3,4,6}:{(162,1),(241,1),(245,1),(246,1),(247,1),(319,1),(320,1),(372,1)}
       205:{3,5,6,7}:{(163,1),(166,1),(248,1),(252,1)}
       206:{2,5,6,7}:{(164,1),(167,1),(250,1),(262,1),(312,1)}
       207:{2,4,5,7}:{(165,1),(176,1),(233,1),(251,1),(252,1),(262,1),(312,1)}
       208:{3,4,6,7}:{(165,1),(166,1),(170,1),(252,1),(255,1),(377,1),(403,1)}
       209:{2,3,6,7}:{(166,1),(167,1),(171,1),(254,1),(377,1)}
       210:{1,4,6,7}:{(167,1),(172,1),(250,1),(254,1)}
       211:{2,4,6}:{(168,1),(169,1),(179,1),(236,1),(255,1)}
       212:{3,4,5,7}:{(169,1),(170,1),(173,1),(252,1),(255,1),(403,1),(412,1)}
       213:{2,3,4,7}:{(170,1),(171,1),(174,1),(181,1),(238,1),(257,1),(333,1),(403,1)}
       214:{1,3,5,7}:{(171,1),(172,1),(175,1),(254,1),(257,1),(258,1)}
       215:{2,3,4,5}:{(173,1),(174,1),(183,1),(240,1),(259,1),(334,1),(412,1)}
       216:{1,3,4,6}:{(174,1),(175,1),(184,1),(241,1),(257,1),(259,1),(260,1),(269,1),(319,1)}
       217:{2,5,6}:{(175,1),(258,1),(260,1)}
       218:{1,4,5,6}:{(176,1),(179,1),(251,1),(261,1),(367,1)}
       219:{1,3,5,7}:{(176,1),(177,1),(252,1),(261,1),(262,1)}
       220:{2,4,6,7}:{(177,1),(178,1),(181,1),(262,1),(263,1),(265,1)}
       221:{1,3,6,7}:{(178,1),(182,1),(263,1),(264,1),(270,1)}
       222:{1,3,4,6}:{(179,1),(180,1),(186,1),(255,1),(261,1),(265,1)}
       223:{2,4,5,7}:{(180,1),(181,1),(183,1),(187,1),(262,1),(265,1),(266,1)}
       224:{1,4,7}:{(181,1),(182,1),(184,1)}
       225:{1,2,5,7}:{(182,1),(185,1),(258,1),(264,1),(267,1)}
       226:{1,4,5}:{(183,1),(184,1),(189,1)}
       227:{1,2,4,6}:{(184,1),(185,1),(260,1),(267,1),(268,1),(269,1)}
       228:{2,3,6}:{(186,1),(187,1),(265,1),(270,1)}
       229:{1,3,5,7}:{(187,1),(188,1),(189,1),(266,1),(270,1),(271,1)}
       230:{1,2,4,7}:{(188,1),(190,1),(271,1),(272,1)}
       231:{1,2,5}:{(189,1),(190,1)}
       232:{1,2,3,6}:{(190,1),(269,1),(272,1),(273,1)}
       233:{1,4,5,7}:{(191,1),(207,1),(274,1),(275,1),(302,1)}
       234:{1,3,4,6,7}:{(191,1),(192,1),(195,1),(208,1),(275,1),(276,1),(278,1)}
       235:{2,3,6,7}:{(192,1),(196,1),(276,1),(277,1),(284,1),(295,1)}
       236:{1,4,6}:{(193,1),(194,1),(211,1)}
       237:{1,3,4,5,7}:{(194,1),(195,1),(197,1),(201,1),(212,1),(275,1),(278,1),(279,1)}
       238:{2,4,7}:{(195,1),(196,1),(198,1),(280,1)}
       239:{1,3,5,7}:{(196,1),(199,1),(277,1),(280,1),(281,1),(344,1),(348,1)}
       240:{2,4,5}:{(197,1),(198,1),(203,1),(282,1)}
       241:{1,4,6}:{(198,1),(199,1),(280,1),(282,1)}
       242:{1,2,5,6}:{(199,1),(217,1),(281,1),(283,1),(287,1),(350,1)}
       243:{1,3,6}:{(200,1),(201,1),(284,1)}
       244:{2,3,5,7}:{(201,1),(202,1),(203,1),(279,1),(284,1),(285,1)}
       245:{1,3,4,7}:{(202,1),(204,1),(280,1),(285,1),(286,1),(348,1)}
       246:{1,3,5}:{(203,1),(204,1),(282,1),(287,1)}
       247:{1,2,4,6}:{(204,1),(286,1),(287,1),(288,1),(350,1),(352,1)}
       248:{3,4,6,7}:{(205,1),(289,1),(290,1)}
       249:{2,3,5,6,7}:{(205,1),(206,1),(209,1),(290,1),(291,1),(293,1)}
       250:{1,5,6,7}:{(206,1),(210,1),(302,1),(344,1)}
       251:{2,4,5,6}:{(207,1),(211,1),(218,1),(274,1),(292,1),(301,1),(343,1)}
       252:{3,5,7}:{(207,1),(208,1),(292,1)}
       253:{2,3,4,6,7}:{(208,1),(209,1),(213,1),(220,1),(276,1),(290,1),(293,1),(294,1),(296,1),(358,1),(394,1)}
       254:{1,3,6,7}:{(209,1),(210,1),(214,1),(295,1)}
       255:{3,4,6}:{(211,1),(212,1),(292,1)}
       256:{2,3,4,5,7}:{(212,1),(213,1),(215,1),(223,1),(279,1),(293,1),(296,1),(297,1),(360,1),(394,1),(410,1)}
       257:{1,3,4,7}:{(213,1),(214,1),(216,1),(224,1),(280,1),(298,1),(306,1),(348,1)}
       258:{2,5,7}:{(214,1),(217,1),(295,1),(298,1)}
       259:{1,3,4,5}:{(215,1),(216,1),(226,1),(282,1),(299,1),(307,1),(349,1)}
       260:{2,4,6}:{(216,1),(217,1),(298,1),(299,1),(300,1)}
       261:{1,3,5,6}:{(218,1),(219,1),(222,1),(292,1),(301,1)}
       262:{2,5,7}:{(219,1),(220,1),(301,1),(302,1)}
       263:{1,4,6,7}:{(220,1),(221,1),(224,1),(302,1),(304,1)}
       264:{1,2,6,7}:{(221,1),(225,1),(295,1),(308,1)}
       265:{2,4,6}:{(222,1),(223,1),(228,1),(301,1),(304,1)}
       266:{1,4,5,7}:{(223,1),(224,1),(226,1),(229,1),(302,1),(304,1)}
       267:{1,2,4,7}:{(224,1),(225,1),(227,1),(298,1),(306,1)}
       268:{1,2,4,5}:{(226,1),(227,1),(231,1),(299,1),(307,1),(310,1)}
       269:{1,3,6}:{(227,1),(300,1),(306,1),(307,1)}
       270:{1,3,6}:{(228,1),(229,1),(304,1),(308,1)}
       271:{1,2,5,7}:{(229,1),(230,1),(231,1),(308,1)}
       272:{1,2,3,7}:{(230,1),(232,1),(306,1)}
       273:{1,2,3,5}:{(231,1),(232,1),(307,1),(310,1)}
       274:{1,4,5,6}:{(233,1),(236,1),(251,1),(311,1),(335,1)}
       275:{1,3,5,7}:{(233,1),(234,1),(252,1),(311,1),(312,1)}
       276:{2,4,6,7}:{(234,1),(235,1),(238,1),(312,1),(313,1),(315,1)}
       277:{1,3,6,7}:{(235,1),(239,1),(313,1),(314,1),(320,1)}
       278:{1,3,4,6}:{(236,1),(237,1),(243,1),(255,1),(311,1),(315,1)}
       279:{2,4,5,7}:{(237,1),(238,1),(240,1),(244,1),(312,1),(315,1),(316,1)}
       280:{1,4,7}:{(238,1),(239,1),(241,1)}
       281:{1,2,5,7}:{(239,1),(242,1),(258,1),(314,1),(317,1)}
       282:{1,4,5}:{(240,1),(241,1),(246,1)}
       283:{1,2,4,6}:{(241,1),(242,1),(260,1),(317,1),(318,1),(319,1)}
       284:{2,3,6}:{(243,1),(244,1),(315,1),(320,1)}
       285:{1,3,5,7}:{(244,1),(245,1),(246,1),(316,1),(320,1),(321,1)}
       286:{1,2,4,7}:{(245,1),(247,1),(321,1),(322,1)}
       287:{1,2,5}:{(246,1),(247,1)}
       288:{1,2,3,6}:{(247,1),(319,1),(322,1),(323,1)}
       289:{3,4,5,7}:{(248,1),(252,1),(324,1),(325,1),(403,1)}
       290:{2,4,6,7}:{(248,1),(249,1),(325,1),(326,1)}
       291:{1,3,5,6,7}:{(249,1),(250,1),(254,1),(326,1),(327,1),(329,1),(377,1)}
       292:{3,5,6}:{(251,1),(252,1),(255,1)}
       293:{2,3,5,7}:{(252,1),(253,1),(262,1),(312,1),(325,1),(328,1),(329,1)}
       294:{1,3,4,6,7}:{(253,1),(254,1),(257,1),(263,1),(313,1),(326,1),(329,1),(330,1),(331,1),(337,1),(369,1),(377,1),(383,1),(399,1),(403,1)}
       295:{2,6,7}:{(254,1),(258,1)}
       296:{2,3,4,6}:{(255,1),(256,1),(265,1),(315,1),(328,1),(331,1),(380,1),(404,1)}
       297:{1,3,4,5,7}:{(256,1),(257,1),(259,1),(266,1),(316,1),(329,1),(331,1),(332,1),(339,1),(371,1),(383,1),(399,1),(403,1),(406,1),(411,1),(412,1)}
       298:{2,4,7}:{(257,1),(258,1),(260,1),(333,1)}
       299:{2,4,5}:{(259,1),(260,1),(334,1)}
       300:{2,3,6}:{(260,1),(269,1),(319,1),(333,1),(334,1)}
       301:{2,5,6}:{(261,1),(262,1),(265,1),(335,1)}
       302:{1,5,7}:{(262,1),(263,1),(335,1)}
       303:{1,2,4,6,7}:{(263,1),(264,1),(267,1),(330,1),(336,1),(337,1),(338,1),(383,1)}
       304:{1,4,6}:{(265,1),(266,1),(270,1),(335,1)}
       305:{1,2,4,5,7}:{(266,1),(267,1),(268,1),(271,1),(332,1),(336,1),(338,1),(339,1),(342,1),(383,1),(385,1),(406,1)}
       306:{1,3,7}:{(267,1),(269,1),(333,1)}
       307:{1,3,5}:{(268,1),(269,1),(334,1),(340,1)}
       308:{1,2,6}:{(270,1),(271,1)}
       309:{1,2,3,5,7}:{(271,1),(272,1),(273,1),(339,1),(341,1),(342,1),(385,1)}
       310:{1,2,4}:{(273,1),(340,1)}
       311:{1,3,5,6}:{(274,1),(275,1),(278,1),(292,1),(343,1)}
       312:{2,5,7}:{(275,1),(276,1),(343,1),(344,1)}
       313:{1,4,6,7}:{(276,1),(277,1),(280,1),(344,1),(346,1)}
       314:{1,2,6,7}:{(277,1),(281,1),(295,1),(350,1)}
       315:{2,4,6}:{(278,1),(279,1),(284,1),(343,1),(346,1)}
       316:{1,4,5,7}:{(279,1),(280,1),(282,1),(285,1),(344,1),(346,1)}
       317:{1,2,4,7}:{(280,1),(281,1),(283,1),(298,1),(348,1)}
       318:{1,2,4,5}:{(282,1),(283,1),(287,1),(299,1),(349,1),(352,1)}
       319:{1,3,6}:{(283,1),(300,1),(348,1),(349,1)}
       320:{1,3,6}:{(284,1),(285,1),(346,1),(350,1)}
       321:{1,2,5,7}:{(285,1),(286,1),(287,1),(350,1)}
       322:{1,2,3,7}:{(286,1),(288,1),(348,1)}
       323:{1,2,3,5}:{(287,1),(288,1),(349,1),(352,1)}
       324:{3,4,5,6}:{(289,1),(292,1),(353,1),(409,1)}
       325:{2,4,5,7}:{(289,1),(290,1),(293,1),(353,1),(354,1),(394,1)}
       326:{1,4,6,7}:{(290,1),(291,1),(354,1),(355,1)}
       327:{2,5,6,7}:{(291,1),(295,1),(355,1),(357,1)}
       328:{2,3,5,6}:{(292,1),(293,1),(296,1),(301,1),(343,1),(353,1),(356,1)}
       329:{1,3,5,7}:{(293,1),(294,1),(302,1),(344,1),(354,1),(356,1),(357,1),(392,1)}
       330:{2,4,6,7}:{(294,1),(295,1),(298,1),(357,1),(358,1),(359,1),(394,1)}
       331:{1,3,4,6}:{(296,1),(297,1),(304,1),(346,1),(356,1),(359,1),(364,1),(388,1),(396,1),(407,1),(409,1)}
       332:{2,4,5,7}:{(297,1),(298,1),(299,1),(357,1),(359,1),(360,1),(394,1),(410,1)}
       333:{2,3,7}:{(298,1),(300,1),(306,1),(348,1)}
       334:{2,3,5}:{(299,1),(300,1),(307,1),(349,1),(361,1)}
       335:{1,5,6}:{(301,1),(302,1),(304,1)}
       336:{1,2,5,7}:{(302,1),(303,1),(357,1),(362,1),(363,1)}
       337:{1,3,6,7}:{(303,1),(306,1),(358,1),(363,1),(364,1)}
       338:{1,2,4,6}:{(304,1),(305,1),(308,1),(359,1),(362,1),(364,1),(396,1)}
       339:{1,3,5,7}:{(305,1),(306,1),(307,1),(360,1),(364,1),(365,1),(397,1)}
       340:{1,3,4}:{(307,1),(310,1),(361,1)}
       341:{1,2,3,6}:{(308,1),(309,1),(364,1),(366,1)}
       342:{1,2,4,7}:{(309,1),(310,1),(365,1),(366,1)}
       343:{2,5,6}:{(311,1),(312,1),(315,1),(367,1)}
       344:{1,5,7}:{(312,1),(313,1),(367,1)}
       345:{1,2,4,6,7}:{(313,1),(314,1),(317,1),(330,1),(368,1),(369,1),(370,1),(399,1)}
       346:{1,4,6}:{(315,1),(316,1),(320,1),(367,1)}
       347:{1,2,4,5,7}:{(316,1),(317,1),(318,1),(321,1),(332,1),(368,1),(370,1),(371,1),(374,1),(399,1),(401,1),(411,1)}
       348:{1,3,7}:{(317,1),(319,1),(333,1)}
       349:{1,3,5}:{(318,1),(319,1),(334,1),(372,1)}
       350:{1,2,6}:{(320,1),(321,1)}
       351:{1,2,3,5,7}:{(321,1),(322,1),(323,1),(371,1),(373,1),(374,1),(401,1)}
       352:{1,2,4}:{(323,1),(372,1)}
       353:{2,4,5,6}:{(324,1),(325,1),(328,1),(375,1),(404,1)}
       354:{1,4,5,7}:{(325,1),(326,1),(329,1),(375,1),(376,1),(383,1),(399,1)}
       355:{2,4,6,7}:{(326,1),(327,1),(376,1),(377,1)}
       356:{1,3,5,6}:{(328,1),(329,1),(331,1),(335,1),(367,1),(375,1),(378,1),(402,1)}
       357:{2,5,7}:{(329,1),(330,1),(378,1)}
       358:{2,3,6,7}:{(330,1),(333,1),(337,1),(369,1),(377,1),(379,1),(380,1)}
       359:{2,4,6}:{(331,1),(332,1),(378,1),(380,1)}
       360:{2,3,5,7}:{(332,1),(333,1),(334,1),(339,1),(371,1),(380,1),(381,1),(405,1)}
       361:{2,3,4}:{(334,1),(340,1),(372,1)}
       362:{1,2,5,6}:{(335,1),(336,1),(338,1),(378,1),(382,1),(385,1)}
       363:{1,3,5,7}:{(336,1),(337,1),(379,1),(382,1),(383,1)}
       364:{1,3,6}:{(338,1),(339,1),(380,1)}
       365:{1,3,4,7}:{(339,1),(340,1),(342,1),(381,1),(383,1),(384,1)}
       366:{1,2,4,6}:{(341,1),(342,1),(384,1),(385,1)}
       367:{1,5,6}:{(343,1),(344,1),(346,1)}
       368:{1,2,5,7}:{(344,1),(345,1),(357,1),(386,1),(387,1)}
       369:{1,3,6,7}:{(345,1),(348,1),(358,1),(387,1),(388,1)}
       370:{1,2,4,6}:{(346,1),(347,1),(350,1),(359,1),(386,1),(388,1),(407,1)}
       371:{1,3,5,7}:{(347,1),(348,1),(349,1),(360,1),(388,1),(389,1),(408,1)}
       372:{1,3,4}:{(349,1),(352,1),(361,1)}
       373:{1,2,3,6}:{(350,1),(351,1),(388,1),(390,1)}
       374:{1,2,4,7}:{(351,1),(352,1),(389,1),(390,1)}
       375:{1,4,5,6}:{(353,1),(354,1),(356,1),(391,1),(396,1),(407,1)}
       376:{2,4,5,7}:{(354,1),(355,1),(357,1),(391,1),(392,1),(394,1)}
       377:{3,6,7}:{(355,1),(392,1)}
       378:{2,5,6}:{(356,1),(357,1),(359,1)}
       379:{2,3,5,7}:{(357,1),(358,1),(363,1),(387,1),(392,1),(393,1),(394,1)}
       380:{2,3,6}:{(359,1),(360,1),(364,1),(388,1)}
       381:{2,3,4,7}:{(360,1),(361,1),(365,1),(389,1),(394,1),(395,1)}
       382:{1,3,5,6}:{(362,1),(363,1),(364,1),(393,1),(396,1),(397,1)}
       383:{1,4,7}:{(363,1),(394,1),(396,1)}
       384:{1,3,4,6}:{(364,1),(365,1),(366,1),(395,1),(396,1),(397,1)}
       385:{1,2,5}:{(366,1),(397,1)}
       386:{1,2,5,6}:{(367,1),(368,1),(370,1),(378,1),(398,1),(401,1)}
       387:{1,3,5,7}:{(368,1),(369,1),(379,1),(398,1),(399,1)}
       388:{1,3,6}:{(370,1),(371,1),(380,1)}
       389:{1,3,4,7}:{(371,1),(372,1),(374,1),(381,1),(399,1),(400,1)}
       390:{1,2,4,6}:{(373,1),(374,1),(400,1),(401,1)}
       391:{2,4,5,6}:{(375,1),(376,1),(378,1),(402,1),(404,1)}
       392:{3,5,7}:{(376,1),(377,1),(402,1),(403,1)}
       393:{2,3,5,6}:{(378,1),(379,1),(380,1),(382,1),(398,1),(402,1),(404,1),(405,1)}
       394:{2,4,7}:{(379,1),(383,1),(399,1),(403,1),(404,1)}
       395:{2,3,4,6}:{(380,1),(381,1),(384,1),(400,1),(404,1),(405,1)}
       396:{1,4,6}:{(382,1),(383,1),(404,1),(406,1)}
       397:{1,3,5}:{(384,1),(385,1),(405,1),(406,1)}
       398:{1,3,5,6}:{(386,1),(387,1),(388,1),(393,1),(407,1),(408,1)}
       399:{1,4,7}:{(387,1),(394,1),(407,1)}
       400:{1,3,4,6}:{(388,1),(389,1),(390,1),(395,1),(407,1),(408,1)}
       401:{1,2,5}:{(390,1),(408,1)}
       402:{3,5,6}:{(391,1),(392,1),(409,1)}
       403:{3,4,7}:{(392,1),(394,1),(409,1)}
       404:{2,4,6}:{(393,1),(394,1),(396,1),(407,1),(409,1),(410,1)}
       405:{2,3,5}:{(395,1),(397,1),(408,1),(410,1)}
       406:{1,4,5}:{(396,1),(397,1),(410,1)}
       407:{1,4,6}:{(398,1),(399,1),(404,1),(411,1)}
       408:{1,3,5}:{(400,1),(401,1),(405,1),(411,1)}
       409:{3,4,6}:{(402,1),(403,1),(404,1),(412,1)}
       410:{2,4,5}:{(404,1),(405,1),(406,1),(411,1),(412,1)}
       411:{1,4,5}:{(407,1),(408,1),(410,1)}
       412:{3,4,5}:{(409,1),(410,1)}

2480 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2481 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(61,1),(63,1),(148,1),(149,1),(231,1),(237,1),(255,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(41,1),(42,1),(87,1),(98,1),(184,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(42,1),(48,1),(99,1),(111,1),(116,1),(200,1),(214,1),(217,1),(286,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(103,1),(202,1),(282,1),(289,1)}
         4:{2,4,5,6,7}:{(14,1),(15,1),(57,1),(58,1),(232,1),(329,1)}
         5:{1,2,3,6}:{(1,1),(18,1),(73,1),(236,1)}
         6:{1,2,4,7}:{(1,1),(18,1),(19,1),(144,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(253,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(332,1)}
         9:{2,3,4,7}:{(19,1),(23,1),(26,1),(145,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(146,1),(168,1),(252,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(73,1),(161,1),(165,1),(330,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(58,1),(133,1),(148,1),(152,1),(255,1),(328,1),(333,1)}
        13:{1,2,3,6,7}:{(5,1),(30,1),(31,1),(87,1),(115,1),(170,1),(188,1),(288,1),(290,1),(360,1)}
        14:{1,4,5,6,7}:{(4,1),(29,1),(32,1),(93,1),(94,1),(179,1),(293,1)}
        15:{3,5,6,7}:{(4,1),(33,1),(283,1),(363,1)}
        16:{1,2,3,5,6}:{(5,1),(30,1),(37,1),(41,1),(92,1),(98,1),(108,1),(112,1),(170,1),(188,1),(207,1),(209,1),(269,1),(298,1),(351,1)}
        17:{1,3,4,5,6}:{(7,1),(38,1),(39,1),(44,1),(82,1),(106,1),(117,1),(172,1),(211,1),(274,1),(291,1)}
        18:{1,2,4,6}:{(5,1),(6,1),(40,1),(41,1)}
        19:{1,3,4,7}:{(6,1),(9,1),(36,1),(40,1),(42,1),(196,1),(214,1)}
        20:{1,2,4,5,7}:{(6,1),(10,1),(41,1),(42,1),(43,1),(102,1),(111,1),(113,1),(184,1),(197,1),(214,1),(286,1),(299,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(202,1)}
        22:{3,4,5,7}:{(7,1),(33,1),(45,1),(303,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(40,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(365,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(367,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(42,1),(46,1),(50,1),(198,1),(301,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(94,1),(115,1),(186,1),(193,1),(200,1),(214,1),(217,1),(366,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(57,1),(128,1),(141,1),(246,1)}
        30:{1,2,3,5,7}:{(13,1),(16,1),(53,1),(56,1),(134,1),(162,1),(259,1),(261,1),(340,1),(380,1)}
        31:{1,2,4,6,7}:{(13,1),(18,1),(53,1),(55,1),(56,1),(131,1),(135,1),(220,1),(236,1),(333,1)}
        32:{1,3,5,6,7}:{(14,1),(15,1),(52,1),(54,1),(57,1),(334,1)}
        33:{3,4,6,7}:{(15,1),(22,1),(58,1)}
        34:{2,3,4,6,7}:{(23,1),(55,1),(59,1),(81,1),(132,1),(142,1),(168,1),(238,1),(245,1),(313,1),(333,1),(385,1),(413,1)}
        35:{2,3,5,6,7}:{(15,1),(25,1),(57,1),(58,1),(60,1),(133,1)}
        36:{2,3,4,7}:{(19,1),(62,1),(63,1),(247,1),(255,1)}
        37:{1,2,4,6}:{(16,1),(53,1),(66,1),(67,1),(144,1),(161,1),(260,1),(379,1)}
        38:{2,4,5,6}:{(17,1),(65,1),(68,1),(69,1),(156,1),(260,1),(332,1)}
        39:{1,3,4,5,7}:{(17,1),(22,1),(54,1),(69,1),(76,1),(124,1),(157,1),(166,1),(225,1),(263,1),(320,1),(334,1)}
        40:{1,3,4,6}:{(18,1),(19,1),(23,1),(62,1),(70,1),(73,1),(161,1)}
        41:{1,2,5}:{(18,1),(70,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(26,1),(63,1),(70,1),(73,1),(248,1),(340,1)}
        43:{1,2,4,6}:{(20,1),(27,1),(71,1),(73,1),(151,1),(161,1),(236,1),(330,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(161,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(58,1),(76,1),(255,1)}
        46:{2,3,5}:{(23,1),(70,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(390,1)}
        49:{2,3,4,5,7}:{(26,1),(72,1),(77,1),(80,1),(140,1),(168,1),(169,1),(237,1),(250,1),(342,1)}
        50:{2,3,6}:{(26,1),(27,1),(73,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(239,1),(252,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(193,1),(294,1)}
        53:{1,2,4,7}:{(30,1),(37,1),(88,1),(214,1),(309,1),(401,1)}
        54:{1,3,4,6,7}:{(32,1),(33,1),(39,1),(84,1),(90,1),(94,1),(179,1),(186,1),(193,1),(283,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(40,1),(85,1),(88,1),(91,1),(115,1),(183,1),(188,1),(190,1),(214,1),(268,1),(287,1),(360,1),(366,1),(401,1)}
        56:{1,2,5,7}:{(31,1),(41,1),(91,1),(92,1),(269,1),(367,1)}
        57:{2,5,6,7}:{(32,1),(90,1),(93,1),(367,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(45,1),(94,1)}
        59:{2,3,5,7}:{(34,1),(46,1),(91,1),(95,1),(96,1),(294,1),(349,1),(367,1)}
        60:{1,3,5,6,7}:{(35,1),(48,1),(93,1),(94,1),(97,1),(186,1),(193,1)}
        61:{2,3,4,5}:{(99,1),(100,1),(116,1),(208,1),(273,1),(296,1)}
        62:{2,3,4,6}:{(36,1),(40,1),(101,1),(103,1),(202,1)}
        63:{2,3,5,7}:{(36,1),(42,1),(101,1),(102,1),(103,1),(296,1),(370,1)}
        64:{1,2,3,6}:{(87,1),(98,1),(104,1),(298,1)}
        65:{2,3,5,6}:{(38,1),(100,1),(106,1),(107,1),(117,1),(274,1)}
        66:{1,3,4,6}:{(37,1),(88,1),(105,1),(108,1),(188,1),(196,1),(298,1)}
        67:{1,2,4,5}:{(37,1),(41,1),(108,1),(111,1),(208,1),(269,1),(350,1)}
        68:{1,4,5,6}:{(38,1),(106,1),(110,1),(306,1),(365,1)}
        69:{2,4,5,7}:{(38,1),(39,1),(90,1),(107,1),(110,1),(210,1),(309,1),(367,1)}
        70:{1,3,5}:{(40,1),(41,1),(46,1),(101,1),(111,1)}
        71:{1,2,5,6}:{(41,1),(43,1),(47,1),(112,1),(113,1),(204,1),(365,1)}
        72:{1,3,4,5,7}:{(42,1),(49,1),(102,1),(111,1),(114,1),(201,1),(214,1),(215,1),(286,1),(297,1),(303,1),(372,1)}
        73:{1,3,6}:{(42,1),(43,1),(50,1),(103,1)}
        74:{1,2,4,6,7}:{(43,1),(51,1),(113,1),(115,1),(205,1),(214,1),(288,1),(299,1),(366,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(94,1),(118,1),(214,1)}
        77:{2,4,5}:{(46,1),(111,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(112,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(114,1),(119,1),(121,1),(192,1),(289,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(115,1),(120,1),(193,1),(301,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(244,1),(411,1)}
        83:{2,3,4,5,7}:{(61,1),(126,1),(127,1),(140,1),(148,1),(223,1),(237,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(55,1),(62,1),(129,1),(132,1),(152,1),(221,1),(233,1),(238,1),(255,1),(326,1),(328,1),(333,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(57,1),(128,1),(130,1),(133,1),(223,1)}
        87:{1,2,3,7}:{(64,1),(131,1),(340,1)}
        88:{1,3,4,7}:{(53,1),(66,1),(132,1),(134,1),(340,1)}
        89:{1,2,4,5,7}:{(53,1),(56,1),(67,1),(134,1),(135,1),(137,1),(237,1)}
        90:{2,4,6,7}:{(54,1),(57,1),(69,1),(133,1),(136,1),(239,1)}
        91:{1,3,5,7}:{(55,1),(56,1),(59,1),(70,1),(129,1),(137,1),(138,1),(314,1),(390,1)}
        92:{1,2,5,6}:{(56,1),(135,1),(138,1),(236,1),(332,1)}
        93:{1,5,6,7}:{(57,1),(136,1),(390,1)}
        94:{1,4,6,7}:{(58,1),(60,1),(76,1),(141,1)}
        95:{2,4,5,7}:{(59,1),(77,1),(137,1),(140,1),(142,1),(168,1),(377,1),(413,1)}
        96:{2,3,5,6}:{(59,1),(138,1),(142,1),(238,1),(244,1),(332,1)}
        97:{2,5,6,7}:{(60,1),(79,1),(141,1),(239,1)}
        98:{1,2,3,5}:{(64,1),(144,1),(154,1),(248,1)}
        99:{1,3,4,5}:{(61,1),(146,1),(147,1),(248,1),(257,1)}
       100:{2,3,4,6}:{(61,1),(65,1),(147,1),(148,1),(165,1),(260,1),(319,1),(338,1)}
       101:{2,3,5}:{(62,1),(70,1),(149,1)}
       102:{2,4,5,7}:{(63,1),(72,1),(149,1),(151,1),(255,1),(256,1),(337,1),(393,1)}
       103:{2,3,6}:{(63,1),(73,1),(151,1)}
       104:{1,2,4,6}:{(64,1),(131,1),(144,1),(153,1),(154,1),(236,1)}
       105:{2,3,4,6}:{(66,1),(132,1),(145,1),(153,1),(155,1),(238,1),(247,1),(251,1),(260,1),(338,1)}
       106:{1,3,5,6}:{(65,1),(68,1),(147,1),(156,1),(157,1)}
       107:{2,3,5,7}:{(65,1),(69,1),(133,1),(148,1),(157,1),(166,1),(320,1)}
       108:{1,3,5}:{(66,1),(67,1),(155,1)}
       109:{1,2,4,5,6}:{(67,1),(68,1),(71,1),(75,1),(135,1),(156,1),(159,1),(160,1),(161,1),(224,1),(242,1),(249,1),(254,1),(260,1),(315,1),(332,1),(345,1),(379,1),(392,1),(412,1)}
       110:{1,4,5,7}:{(68,1),(69,1),(136,1),(157,1),(346,1),(390,1)}
       111:{1,4,5}:{(70,1),(77,1),(149,1),(161,1)}
       112:{1,3,5,6}:{(70,1),(71,1),(73,1),(78,1),(150,1),(161,1),(162,1)}
       113:{1,2,5,7}:{(71,1),(74,1),(79,1),(162,1),(256,1),(390,1)}
       114:{1,3,4,6}:{(72,1),(73,1),(80,1),(151,1),(161,1),(163,1),(253,1),(330,1)}
       115:{1,3,6,7}:{(73,1),(74,1),(81,1),(152,1),(162,1),(340,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(141,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(161,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(162,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(163,1),(167,1),(169,1),(244,1),(332,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(164,1),(168,1),(169,1),(245,1),(267,1),(333,1),(342,1),(395,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(294,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(98,1),(170,1),(174,1),(184,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(99,1),(176,1),(177,1),(200,1),(272,1),(273,1),(277,1),(286,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(192,1),(289,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(91,1),(101,1),(180,1),(181,1),(270,1),(363,1),(367,1)}
       130:{1,3,5,6,7}:{(86,1),(93,1),(179,1),(182,1),(186,1),(272,1),(283,1)}
       131:{1,2,4,7}:{(87,1),(104,1),(183,1),(184,1)}
       132:{2,3,4,7}:{(88,1),(105,1),(183,1),(185,1),(301,1),(309,1),(370,1)}
       133:{2,3,6,7}:{(90,1),(107,1),(186,1),(193,1),(283,1)}
       134:{1,3,5,7}:{(88,1),(89,1),(108,1),(185,1),(188,1)}
       135:{1,2,4,6}:{(89,1),(92,1),(188,1),(190,1),(289,1)}
       136:{1,4,6,7}:{(90,1),(93,1),(110,1),(186,1)}
       137:{1,4,5,7}:{(91,1),(95,1),(111,1),(180,1),(190,1),(214,1),(350,1),(401,1)}
       138:{1,3,5,6}:{(91,1),(92,1),(96,1),(181,1),(188,1),(190,1),(287,1),(365,1)}
       139:{1,2,5,6,7}:{(92,1),(93,1),(97,1),(113,1),(182,1),(189,1),(191,1),(288,1),(305,1),(352,1),(367,1),(408,1),(423,1)}
       140:{3,4,5,7}:{(95,1),(116,1),(192,1),(217,1),(294,1),(397,1),(420,1)}
       141:{2,4,6,7}:{(94,1),(97,1),(118,1),(193,1)}
       142:{2,4,6}:{(95,1),(96,1),(190,1),(192,1)}
       143:{2,3,5,6,7}:{(96,1),(97,1),(120,1),(191,1),(193,1),(195,1),(290,1),(294,1),(367,1),(399,1),(423,1),(426,1)}
       144:{1,2,4}:{(98,1),(196,1)}
       145:{2,3,4}:{(196,1),(198,1)}
       146:{2,4,5}:{(99,1),(198,1),(199,1)}
       147:{1,3,4,6}:{(99,1),(100,1),(106,1),(199,1),(200,1),(298,1),(306,1)}
       148:{2,3,4,7}:{(100,1),(107,1),(200,1),(217,1),(309,1),(356,1),(370,1)}
       149:{2,4,5}:{(101,1),(111,1),(201,1),(202,1)}
       150:{2,3,5,6}:{(101,1),(103,1),(112,1),(202,1),(203,1),(204,1),(302,1)}
       151:{2,4,6}:{(102,1),(103,1),(114,1),(204,1)}
       152:{2,3,6,7}:{(103,1),(115,1),(203,1),(205,1),(370,1),(374,1)}
       153:{1,3,4,6}:{(104,1),(105,1),(183,1),(196,1),(206,1),(287,1),(298,1),(306,1)}
       154:{1,2,5}:{(104,1),(206,1)}
       155:{2,3,5}:{(105,1),(108,1),(206,1),(208,1)}
       156:{2,5,6}:{(106,1),(199,1),(210,1)}
       157:{1,3,5,7}:{(106,1),(107,1),(110,1),(186,1),(200,1),(210,1)}
       158:{1,3,4,5}:{(108,1),(111,1),(116,1),(201,1),(208,1),(211,1),(273,1),(350,1),(397,1)}
       159:{1,3,5,6}:{(108,1),(109,1),(117,1),(188,1),(209,1),(211,1),(212,1),(274,1),(298,1),(302,1),(419,1)}
       160:{1,2,4,5,7}:{(109,1),(110,1),(113,1),(118,1),(189,1),(210,1),(212,1),(214,1),(275,1),(293,1),(299,1),(304,1),(309,1),(352,1),(367,1),(375,1),(401,1),(409,1),(421,1)}
       161:{1,4,6}:{(111,1),(112,1),(119,1),(202,1),(214,1)}
       162:{1,3,5,7}:{(112,1),(113,1),(115,1),(120,1),(203,1),(214,1)}
       163:{1,3,5,6}:{(114,1),(121,1),(204,1),(213,1),(215,1),(302,1),(365,1)}
       164:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(205,1),(214,1),(215,1),(303,1),(311,1),(366,1),(372,1),(374,1),(410,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(193,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(213,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(214,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(215,1),(218,1),(294,1),(367,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(236,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(244,1),(332,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(144,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(145,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(146,1),(228,1),(229,1),(252,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(330,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(133,1),(148,1),(223,1),(230,1),(245,1),(333,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(137,1),(149,1),(231,1),(233,1),(255,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(138,1),(233,1),(238,1),(327,1),(332,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(239,1),(318,1)}
       183:{1,3,4,7}:{(131,1),(132,1),(153,1),(235,1),(340,1),(346,1)}
       184:{1,2,5,7}:{(131,1),(154,1),(235,1),(236,1)}
       185:{2,3,5,7}:{(132,1),(134,1),(155,1),(235,1),(237,1),(238,1)}
       186:{1,3,6,7}:{(133,1),(136,1),(157,1),(239,1)}
       187:{1,3,4,5,7}:{(134,1),(137,1),(140,1),(158,1),(231,1),(237,1),(240,1),(263,1),(334,1)}
       188:{1,3,6}:{(134,1),(135,1),(238,1)}
       189:{1,2,4,6,7}:{(135,1),(136,1),(139,1),(141,1),(160,1),(232,1),(239,1),(241,1),(243,1),(333,1),(344,1),(396,1),(418,1),(425,1)}
       190:{1,4,6}:{(137,1),(138,1),(142,1),(233,1)}
       191:{1,3,5,6,7}:{(138,1),(139,1),(143,1),(162,1),(234,1),(241,1),(243,1),(331,1),(334,1),(380,1),(390,1)}
       192:{3,4,6}:{(140,1),(142,1),(244,1)}
       193:{3,6,7}:{(141,1),(166,1)}
       194:{2,4,5,6}:{(142,1),(242,1),(244,1),(246,1),(332,1)}
       195:{2,4,6,7}:{(142,1),(143,1),(168,1),(243,1),(245,1),(246,1),(413,1)}
       196:{1,3,4}:{(144,1),(145,1),(247,1),(248,1)}
       197:{1,2,4,5}:{(144,1),(146,1),(154,1),(248,1),(249,1),(257,1),(337,1)}
       198:{2,3,5}:{(145,1),(146,1),(248,1),(251,1)}
       199:{2,4,6}:{(146,1),(147,1),(156,1),(251,1),(252,1)}
       200:{1,3,4,7}:{(147,1),(148,1),(157,1),(252,1),(340,1),(346,1)}
       201:{3,4,5}:{(149,1),(253,1)}
       202:{2,4,6}:{(149,1),(150,1),(161,1),(253,1),(255,1)}
       203:{2,3,5,7}:{(150,1),(152,1),(162,1),(255,1),(256,1),(343,1)}
       204:{2,5,6}:{(151,1),(163,1),(256,1)}
       205:{2,4,6,7}:{(151,1),(152,1),(164,1),(255,1),(256,1),(393,1),(418,1)}
       206:{1,3,5}:{(153,1),(154,1),(155,1),(257,1)}
       207:{1,2,5,6}:{(154,1),(156,1),(236,1),(249,1),(258,1),(259,1),(392,1)}
       208:{2,4,5}:{(155,1),(158,1),(257,1),(260,1)}
       209:{2,3,5,6}:{(155,1),(156,1),(159,1),(238,1),(251,1),(258,1),(260,1),(261,1),(332,1),(338,1),(392,1)}
       210:{2,5,7}:{(156,1),(157,1),(239,1),(252,1)}
       211:{1,3,4,6}:{(158,1),(159,1),(161,1),(165,1),(253,1),(260,1),(263,1),(319,1),(379,1),(411,1)}
       212:{1,3,5,7}:{(159,1),(160,1),(166,1),(241,1),(261,1),(263,1),(320,1),(340,1),(343,1),(424,1)}
       213:{1,4,5,6}:{(161,1),(163,1),(167,1),(254,1),(264,1)}
       214:{1,4,7}:{(161,1),(162,1),(168,1),(255,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(169,1),(256,1),(264,1),(343,1),(390,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(244,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(264,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(265,1),(267,1),(336,1),(391,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(365,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(294,1),(367,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(196,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(197,1),(269,1),(277,1),(278,1),(286,1),(299,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(198,1),(270,1),(277,1),(280,1),(301,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(186,1),(200,1),(272,1),(281,1),(283,1),(356,1),(360,1),(366,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(201,1),(273,1),(282,1),(303,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(190,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(191,1),(203,1),(283,1),(285,1),(290,1),(305,1),(354,1),(363,1),(367,1),(374,1)}
       235:{1,3,5,7}:{(183,1),(184,1),(185,1),(206,1),(286,1),(287,1)}
       236:{1,2,6}:{(184,1),(287,1)}
       237:{2,4,5,7}:{(185,1),(187,1),(208,1),(286,1),(289,1),(309,1),(367,1)}
       238:{2,3,6}:{(185,1),(188,1),(287,1),(289,1)}
       239:{2,6,7}:{(186,1),(210,1)}
       240:{1,3,4,6}:{(187,1),(188,1),(190,1),(192,1),(282,1),(289,1),(291,1)}
       241:{1,3,6,7}:{(188,1),(189,1),(193,1),(212,1),(283,1),(290,1),(374,1),(426,1)}
       242:{1,4,5,6}:{(190,1),(194,1),(284,1),(291,1),(293,1),(365,1)}
       243:{1,4,6,7}:{(190,1),(191,1),(195,1),(214,1),(285,1),(293,1),(401,1)}
       244:{3,5,6}:{(192,1),(194,1),(294,1)}
       245:{3,4,6,7}:{(192,1),(193,1),(195,1),(217,1),(294,1),(420,1),(426,1)}
       246:{2,4,5,7}:{(194,1),(195,1),(293,1),(294,1),(367,1)}
       247:{2,3,4}:{(196,1),(296,1)}
       248:{1,3,5}:{(196,1),(197,1),(198,1),(296,1),(298,1)}
       249:{1,2,4,6}:{(197,1),(199,1),(207,1),(298,1),(299,1),(306,1),(369,1)}
       250:{2,3,4,5}:{(198,1),(201,1),(208,1),(297,1),(300,1),(397,1)}
       251:{2,3,6}:{(198,1),(199,1),(298,1),(301,1)}
       252:{2,4,7}:{(199,1),(200,1),(210,1),(301,1)}
       253:{3,4,6}:{(201,1),(202,1),(302,1),(303,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(213,1),(302,1),(304,1)}
       255:{2,4,7}:{(202,1),(203,1),(214,1),(303,1)}
       256:{2,5,7}:{(204,1),(205,1),(215,1)}
       257:{1,4,5}:{(206,1),(208,1),(306,1)}
       258:{1,3,5,6}:{(206,1),(207,1),(209,1),(287,1),(298,1),(306,1),(307,1),(365,1)}
       259:{1,2,5,7}:{(207,1),(210,1),(288,1),(299,1),(307,1),(409,1)}
       260:{2,4,6}:{(208,1),(209,1),(211,1),(306,1),(309,1)}
       261:{2,3,5,7}:{(209,1),(210,1),(212,1),(290,1),(301,1),(307,1),(309,1),(367,1),(370,1),(409,1)}
       262:{1,3,4,5,6}:{(211,1),(213,1),(216,1),(291,1),(302,1),(308,1),(310,1),(355,1),(371,1),(400,1),(419,1)}
       263:{1,3,4,7}:{(211,1),(212,1),(214,1),(217,1),(303,1),(309,1),(356,1),(401,1),(420,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(215,1),(218,1),(304,1),(311,1)}
       265:{1,3,5,6,7}:{(215,1),(219,1),(305,1),(311,1),(374,1),(408,1),(410,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(294,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(311,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(390,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(247,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(248,1),(314,1),(321,1),(323,1),(340,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(236,1),(315,1),(323,1),(330,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(237,1),(250,1),(316,1),(322,1),(325,1),(342,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(239,1),(252,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(242,1),(327,1),(329,1),(332,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(255,1),(328,1),(329,1),(382,1)}
       286:{1,4,5,7}:{(235,1),(237,1),(257,1),(330,1),(346,1),(390,1)}
       287:{1,3,6}:{(235,1),(236,1),(238,1),(330,1)}
       288:{1,2,6,7}:{(236,1),(239,1),(259,1),(331,1),(418,1)}
       289:{2,4,6}:{(237,1),(238,1),(240,1),(330,1),(332,1)}
       290:{2,3,6,7}:{(238,1),(239,1),(241,1),(261,1),(331,1),(333,1),(418,1)}
       291:{1,3,5,6}:{(240,1),(242,1),(244,1),(327,1),(332,1),(334,1)}
       292:{1,3,4,6,7}:{(240,1),(241,1),(243,1),(245,1),(263,1),(328,1),(333,1),(334,1)}
       293:{1,4,5,7}:{(242,1),(243,1),(246,1),(329,1),(334,1),(390,1)}
       294:{3,5,7}:{(244,1),(245,1),(246,1)}
       295:{2,4,5,6,7}:{(246,1),(267,1),(335,1),(336,1),(391,1),(425,1)}
       296:{2,3,5}:{(247,1),(248,1),(337,1),(338,1)}
       297:{1,3,4,5}:{(248,1),(250,1),(257,1),(337,1),(339,1)}
       298:{1,3,6}:{(248,1),(249,1),(251,1),(338,1),(340,1)}
       299:{1,2,4,7}:{(249,1),(252,1),(259,1),(340,1),(346,1),(393,1)}
       300:{2,3,4,6}:{(250,1),(251,1),(253,1),(260,1),(339,1),(341,1),(342,1),(411,1)}
       301:{2,3,7}:{(251,1),(252,1),(340,1)}
       302:{3,5,6}:{(253,1),(254,1),(343,1)}
       303:{3,4,7}:{(253,1),(255,1),(343,1)}
       304:{2,4,5,7}:{(254,1),(255,1),(256,1),(264,1),(343,1),(344,1)}
       305:{2,5,6,7}:{(256,1),(265,1),(344,1),(418,1)}
       306:{1,4,6}:{(257,1),(258,1),(260,1),(346,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(331,1),(340,1),(346,1),(390,1)}
       308:{2,4,5,6}:{(260,1),(262,1),(332,1),(341,1),(345,1),(347,1),(392,1)}
       309:{2,4,7}:{(260,1),(261,1),(263,1),(346,1)}
       310:{1,3,4,5,7}:{(262,1),(263,1),(264,1),(266,1),(334,1),(343,1),(347,1),(348,1),(383,1),(394,1),(414,1),(424,1)}
       311:{1,4,6,7}:{(264,1),(265,1),(267,1),(344,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(336,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(365,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(296,1),(349,1),(357,1),(358,1),(370,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(286,1),(297,1),(350,1),(357,1),(359,1),(372,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(288,1),(299,1),(352,1),(360,1),(366,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(289,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(301,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(303,1),(356,1),(363,1),(374,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(293,1),(363,1),(367,1)}
       330:{1,4,6}:{(286,1),(287,1),(289,1),(365,1)}
       331:{1,3,6,7}:{(287,1),(288,1),(290,1),(307,1),(366,1)}
       332:{2,5,6}:{(289,1),(291,1),(365,1),(367,1)}
       333:{2,4,6,7}:{(289,1),(290,1),(292,1),(309,1),(366,1),(367,1)}
       334:{1,3,5,7}:{(291,1),(292,1),(293,1),(294,1),(363,1),(367,1)}
       335:{1,4,5,6,7}:{(293,1),(295,1),(311,1),(364,1),(368,1),(408,1),(422,1)}
       336:{3,5,6,7}:{(294,1),(295,1),(312,1),(426,1)}
       337:{2,4,5}:{(296,1),(297,1),(369,1)}
       338:{2,3,6}:{(296,1),(298,1),(369,1),(370,1)}
       339:{1,3,4,6}:{(297,1),(298,1),(300,1),(306,1),(369,1),(371,1),(372,1)}
       340:{1,3,7}:{(298,1),(299,1),(301,1),(370,1)}
       341:{2,3,5,6}:{(300,1),(302,1),(308,1),(371,1),(373,1),(419,1)}
       342:{2,3,4,7}:{(300,1),(301,1),(303,1),(309,1),(372,1),(373,1),(420,1)}
       343:{3,5,7}:{(302,1),(303,1),(304,1),(374,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(311,1),(374,1)}
       345:{1,4,5,6}:{(306,1),(308,1),(365,1),(371,1),(375,1)}
       346:{1,4,7}:{(306,1),(307,1),(309,1)}
       347:{2,4,5,7}:{(308,1),(309,1),(310,1),(367,1),(373,1),(375,1),(376,1),(409,1)}
       348:{1,3,4,6,7}:{(310,1),(311,1),(312,1),(368,1),(374,1),(376,1),(403,1),(410,1),(422,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(390,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(337,1),(377,1),(384,1),(393,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(330,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(340,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(332,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(333,1),(342,1),(382,1),(387,1),(388,1),(395,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(335,1),(344,1),(389,1),(391,1),(415,1)}
       365:{1,5,6}:{(330,1),(332,1),(390,1)}
       366:{1,4,6,7}:{(330,1),(331,1),(333,1),(346,1),(390,1)}
       367:{2,5,7}:{(332,1),(333,1),(334,1),(390,1)}
       368:{1,3,5,6,7}:{(334,1),(335,1),(336,1),(348,1),(389,1),(391,1)}
       369:{2,4,6}:{(337,1),(338,1),(339,1),(392,1),(393,1)}
       370:{2,3,7}:{(338,1),(340,1),(393,1)}
       371:{1,3,5,6}:{(339,1),(341,1),(345,1),(392,1),(394,1)}
       372:{1,3,4,7}:{(339,1),(340,1),(342,1),(346,1),(393,1),(394,1)}
       373:{2,3,5,7}:{(341,1),(342,1),(343,1),(347,1),(394,1),(395,1),(424,1)}
       374:{3,6,7}:{(343,1),(344,1)}
       375:{1,4,5,7}:{(345,1),(346,1),(347,1),(390,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(347,1),(348,1),(391,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(370,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(365,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(366,1),(372,1),(401,1),(405,1),(406,1),(410,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(367,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(374,1),(403,1)}
       390:{1,5,7}:{(365,1),(366,1),(367,1)}
       391:{2,5,6,7}:{(367,1),(368,1),(376,1),(408,1)}
       392:{2,5,6}:{(369,1),(371,1),(409,1)}
       393:{2,4,7}:{(369,1),(370,1),(372,1),(409,1)}
       394:{1,3,5,7}:{(371,1),(372,1),(373,1),(375,1),(409,1),(410,1)}
       395:{2,3,6,7}:{(373,1),(374,1),(376,1),(410,1),(426,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(408,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(393,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(390,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(391,1),(395,1),(415,1),(417,1)}
       408:{1,5,6,7}:{(390,1),(391,1),(396,1)}
       409:{2,5,7}:{(392,1),(393,1),(394,1),(418,1)}
       410:{1,3,6,7}:{(394,1),(395,1),(396,1),(418,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(408,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(409,1),(410,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2482 :   0:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(38,1),(47,1),(56,1),(58,1),(109,1),(122,1),(123,1),(171,1),(192,1),(205,1),(236,1),(246,1),(278,1)}
         1:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(10,1),(42,1),(56,1),(114,1),(192,1)}
         2:{1,3,4,6,7}:{(8,1),(10,1),(11,1),(48,1),(53,1),(56,1),(128,1),(131,1)}
         3:{1,3,4,5,7}:{(15,1),(16,1),(18,1),(21,1),(30,1),(59,1),(68,1),(70,1),(83,1),(94,1),(135,1),(146,1),(156,1),(157,1),(219,1),(220,1),(224,1),(268,1)}
         4:{1,3,4,6,7}:{(16,1),(17,1),(18,1),(20,1),(75,1),(80,1),(156,1),(157,1),(224,1)}
         5:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(25,1),(63,1),(80,1)}
         6:{1,3,5,7}:{(0,1),(21,1),(22,1),(23,1),(83,1),(94,1),(206,1),(224,1),(259,1),(268,1)}
         7:{1,2,4,6}:{(0,1),(23,1),(24,1),(72,1),(82,1),(87,1),(89,1),(150,1),(221,1),(232,1)}
         8:{1,3,6,7}:{(1,1),(23,1),(26,1),(27,1),(224,1),(232,1)}
         9:{1,2,5,7}:{(1,1),(24,1),(27,1),(29,1),(77,1),(155,1),(277,1)}
        10:{2,4,6,7}:{(2,1),(26,1),(28,1),(29,1),(82,1),(89,1),(92,1)}
        11:{1,3,5,7}:{(2,1),(25,1),(29,1),(30,1),(83,1),(94,1)}
        12:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(38,1),(95,1),(104,1),(106,1),(109,1),(120,1),(173,1),(174,1),(192,1),(197,1),(244,1),(246,1),(253,1)}
        13:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(35,1),(42,1),(104,1),(114,1),(192,1)}
        14:{1,3,4,6,7}:{(33,1),(35,1),(36,1),(96,1),(101,1),(104,1),(179,1),(182,1)}
        15:{2,4,5,7}:{(3,1),(37,1),(38,1),(39,1),(43,1),(47,1),(95,1),(109,1),(116,1),(122,1),(173,1),(187,1),(192,1),(246,1)}
        16:{1,3,4,6}:{(3,1),(39,1),(40,1),(53,1),(101,1),(110,1),(128,1),(179,1),(189,1),(190,1),(248,1)}
        17:{2,4,6,7}:{(4,1),(39,1),(41,1),(42,1),(43,1),(114,1),(116,1),(192,1)}
        18:{1,3,5,7}:{(4,1),(40,1),(43,1),(44,1),(118,1)}
        19:{2,5,6,7}:{(5,1),(43,1),(45,1),(46,1),(52,1),(100,1)}
        20:{1,4,6,7}:{(5,1),(44,1),(46,1),(53,1),(101,1),(195,1)}
        21:{1,3,4,7}:{(6,1),(47,1),(48,1),(56,1),(131,1),(278,1),(284,1)}
        22:{2,3,5,7}:{(6,1),(47,1),(49,1),(50,1),(109,1),(122,1),(184,1),(245,1)}
        23:{1,3,6}:{(6,1),(7,1),(50,1),(128,1),(248,1)}
        24:{1,2,5,6}:{(7,1),(9,1),(51,1),(52,1),(112,1),(122,1),(188,1),(236,1),(291,1)}
        25:{1,3,5,6}:{(11,1),(52,1),(53,1),(128,1)}
        26:{2,3,6,7}:{(8,1),(10,1),(50,1),(54,1),(55,1),(114,1),(128,1),(202,1)}
        27:{1,3,5,7}:{(8,1),(9,1),(51,1),(55,1),(56,1),(205,1),(258,1)}
        28:{1,4,6,7}:{(10,1),(54,1),(57,1),(121,1),(127,1),(130,1)}
        29:{2,5,7}:{(10,1),(11,1),(52,1),(57,1),(122,1)}
        30:{1,4,5,7}:{(11,1),(53,1),(56,1),(58,1),(123,1),(205,1)}
        31:{1,3,5,7}:{(12,1),(59,1),(60,1),(61,1),(135,1),(146,1),(160,1),(224,1),(227,1),(268,1)}
        32:{1,2,4,6}:{(12,1),(61,1),(62,1),(72,1),(134,1),(139,1),(141,1),(150,1),(221,1),(264,1)}
        33:{1,3,6,7}:{(13,1),(61,1),(64,1),(65,1),(224,1),(264,1)}
        34:{1,2,5,7}:{(13,1),(62,1),(65,1),(67,1),(77,1),(155,1),(296,1)}
        35:{2,4,6,7}:{(14,1),(64,1),(66,1),(67,1),(134,1),(141,1),(144,1)}
        36:{1,3,5,7}:{(14,1),(63,1),(67,1),(68,1),(135,1),(146,1)}
        37:{2,3,5,7}:{(15,1),(69,1),(70,1),(71,1),(94,1),(146,1),(149,1),(170,1),(216,1),(224,1),(268,1)}
        38:{1,4,5,7}:{(15,1),(70,1),(72,1),(77,1),(81,1),(133,1),(156,1),(162,1),(208,1),(219,1)}
        39:{2,4,6}:{(15,1),(16,1),(71,1),(72,1),(73,1),(150,1)}
        40:{1,3,5,6}:{(16,1),(18,1),(73,1),(74,1),(83,1),(135,1),(154,1)}
        41:{2,3,6,7}:{(17,1),(71,1),(75,1),(76,1),(80,1),(159,1),(224,1)}
        42:{1,4,6,7}:{(17,1),(72,1),(75,1),(77,1),(156,1)}
        43:{2,5,7}:{(17,1),(18,1),(73,1),(77,1)}
        44:{1,4,5,7}:{(18,1),(20,1),(74,1),(78,1),(156,1),(226,1)}
        45:{1,5,6,7}:{(19,1),(77,1),(79,1),(88,1),(140,1)}
        46:{2,4,6,7}:{(19,1),(20,1),(78,1),(79,1),(80,1),(89,1),(141,1),(159,1)}
        47:{2,4,7}:{(21,1),(22,1),(81,1),(82,1),(267,1)}
        48:{1,3,4,6}:{(21,1),(23,1),(82,1),(83,1),(87,1),(166,1)}
        49:{1,3,5,7}:{(22,1),(81,1),(84,1),(85,1),(160,1),(162,1),(227,1)}
        50:{2,3,6}:{(22,1),(23,1),(82,1),(85,1),(150,1)}
        51:{1,3,5,6}:{(23,1),(24,1),(27,1),(83,1),(86,1),(87,1),(232,1),(259,1),(275,1),(276,1)}
        52:{2,5,6}:{(25,1),(29,1),(88,1),(89,1)}
        53:{1,4,6}:{(25,1),(30,1),(89,1),(232,1)}
        54:{1,3,6,7}:{(26,1),(28,1),(85,1),(90,1),(91,1),(167,1)}
        55:{2,3,5,7}:{(26,1),(27,1),(29,1),(86,1),(91,1),(92,1),(94,1),(155,1),(170,1),(224,1),(233,1)}
        56:{1,4,7}:{(27,1),(87,1),(92,1)}
        57:{1,5,7}:{(28,1),(29,1),(88,1),(162,1)}
        58:{2,4,5,7}:{(29,1),(30,1),(89,1),(92,1),(93,1),(94,1),(163,1),(170,1)}
        59:{1,3,4,7}:{(31,1),(95,1),(96,1),(104,1),(182,1),(253,1),(284,1)}
        60:{2,3,5,7}:{(31,1),(95,1),(97,1),(98,1),(109,1),(173,1),(184,1),(245,1)}
        61:{1,3,6}:{(31,1),(32,1),(98,1),(179,1),(248,1)}
        62:{1,2,5,6}:{(32,1),(34,1),(99,1),(100,1),(112,1),(173,1),(188,1),(197,1),(304,1)}
        63:{1,3,5,6}:{(36,1),(100,1),(101,1),(179,1)}
        64:{2,3,6,7}:{(33,1),(35,1),(98,1),(102,1),(103,1),(114,1),(179,1),(241,1)}
        65:{1,3,5,7}:{(33,1),(34,1),(99,1),(103,1),(104,1),(244,1),(283,1)}
        66:{1,4,6,7}:{(35,1),(102,1),(105,1),(172,1),(178,1),(181,1)}
        67:{2,5,7}:{(35,1),(36,1),(100,1),(105,1),(173,1)}
        68:{1,4,5,7}:{(36,1),(101,1),(104,1),(106,1),(174,1),(244,1)}
        69:{2,3,4,7}:{(37,1),(47,1),(95,1),(107,1),(108,1),(116,1),(131,1),(182,1),(184,1),(204,1),(243,1),(251,1),(284,1)}
        70:{1,3,5,7}:{(37,1),(38,1),(107,1),(109,1),(110,1),(186,1),(205,1),(244,1)}
        71:{2,3,6}:{(37,1),(39,1),(110,1),(128,1),(179,1),(202,1),(241,1),(248,1)}
        72:{1,4,6}:{(38,1),(39,1),(110,1),(112,1)}
        73:{2,5,6}:{(39,1),(40,1),(43,1),(112,1),(122,1),(173,1)}
        74:{1,4,5,6}:{(40,1),(44,1),(53,1),(101,1),(113,1),(123,1),(174,1),(189,1),(250,1)}
        75:{1,3,6,7}:{(41,1),(42,1),(110,1),(114,1),(115,1),(195,1)}
        76:{2,3,5,7}:{(41,1),(43,1),(111,1),(115,1),(116,1),(118,1),(194,1),(251,1)}
        77:{1,5,7}:{(42,1),(43,1),(112,1)}
        78:{2,4,5,7}:{(43,1),(44,1),(46,1),(113,1),(116,1),(117,1),(118,1),(192,1),(194,1)}
        79:{1,4,6,7}:{(45,1),(46,1),(117,1),(119,1),(127,1),(178,1)}
        80:{3,6,7}:{(46,1),(118,1),(128,1),(179,1)}
        81:{1,4,7}:{(47,1),(49,1),(121,1),(253,1)}
        82:{2,4,6}:{(47,1),(48,1),(50,1),(121,1),(122,1)}
        83:{1,3,5}:{(48,1),(122,1),(123,1),(199,1)}
        84:{1,2,5,7}:{(49,1),(109,1),(120,1),(124,1),(197,1),(244,1)}
        85:{1,3,6}:{(49,1),(50,1),(121,1),(124,1)}
        86:{2,3,5,6}:{(50,1),(51,1),(52,1),(55,1),(122,1),(125,1),(126,1),(128,1),(188,1),(199,1),(202,1),(245,1),(248,1),(255,1),(256,1)}
        87:{1,4,6}:{(51,1),(56,1),(123,1),(126,1),(278,1)}
        88:{1,5,6}:{(52,1),(57,1),(127,1)}
        89:{2,4,6}:{(52,1),(53,1),(58,1),(127,1),(128,1),(202,1)}
        90:{1,2,6,7}:{(54,1),(114,1),(124,1),(129,1),(195,1),(202,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(57,1),(125,1),(129,1),(130,1),(203,1)}
        92:{2,4,7}:{(55,1),(56,1),(126,1),(130,1),(131,1)}
        93:{1,4,5,7}:{(57,1),(58,1),(127,1),(130,1),(132,1),(198,1)}
        94:{3,5,7}:{(58,1),(128,1),(131,1),(199,1)}
        95:{2,4,7}:{(59,1),(60,1),(133,1),(134,1),(267,1)}
        96:{1,3,4,6}:{(59,1),(61,1),(134,1),(135,1),(139,1),(212,1)}
        97:{1,3,5,7}:{(60,1),(133,1),(136,1),(137,1),(206,1),(208,1),(259,1)}
        98:{2,3,6}:{(60,1),(61,1),(134,1),(137,1),(150,1)}
        99:{1,3,5,6}:{(61,1),(62,1),(65,1),(135,1),(138,1),(139,1),(227,1),(264,1),(294,1),(295,1)}
       100:{2,5,6}:{(63,1),(67,1),(140,1),(141,1)}
       101:{1,4,6}:{(63,1),(68,1),(141,1),(264,1)}
       102:{1,3,6,7}:{(64,1),(66,1),(137,1),(142,1),(143,1),(213,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(138,1),(143,1),(144,1),(146,1),(155,1),(216,1),(224,1),(265,1)}
       104:{1,4,7}:{(65,1),(139,1),(144,1)}
       105:{1,5,7}:{(66,1),(67,1),(140,1),(208,1)}
       106:{2,4,5,7}:{(67,1),(68,1),(141,1),(144,1),(145,1),(146,1),(209,1),(216,1)}
       107:{1,3,4,7}:{(69,1),(70,1),(81,1),(133,1),(147,1),(148,1),(156,1),(160,1),(206,1),(224,1),(234,1),(266,1),(272,1)}
       108:{2,3,4,6}:{(69,1),(71,1),(82,1),(134,1),(148,1),(149,1),(152,1),(166,1),(212,1),(217,1),(231,1),(263,1),(267,1),(270,1),(297,1)}
       109:{2,5,7}:{(70,1),(147,1),(150,1),(218,1)}
       110:{1,3,6}:{(70,1),(71,1),(72,1),(150,1),(232,1),(264,1)}
       111:{2,3,5,6}:{(71,1),(73,1),(76,1),(149,1),(151,1),(152,1),(154,1),(223,1),(270,1)}
       112:{1,5,6}:{(72,1),(73,1),(77,1),(162,1),(208,1)}
       113:{2,4,5,6}:{(73,1),(74,1),(78,1),(89,1),(141,1),(152,1),(153,1),(154,1),(163,1),(209,1),(221,1),(223,1)}
       114:{2,6,7}:{(75,1),(150,1),(155,1)}
       115:{1,3,5,7}:{(75,1),(76,1),(77,1),(151,1),(155,1),(156,1),(224,1),(226,1),(272,1)}
       116:{2,4,7}:{(76,1),(152,1),(156,1),(157,1)}
       117:{1,4,5,7}:{(77,1),(78,1),(79,1),(153,1),(156,1),(158,1)}
       118:{3,5,7}:{(78,1),(80,1),(154,1),(157,1),(224,1)}
       119:{1,3,6,7}:{(79,1),(80,1),(158,1),(159,1),(167,1),(213,1)}
       120:{1,2,4,7}:{(81,1),(84,1),(147,1),(160,1),(161,1),(266,1),(296,1)}
       121:{1,4,6}:{(81,1),(82,1),(85,1),(162,1)}
       122:{2,5}:{(82,1),(83,1),(162,1)}
       123:{1,4,5}:{(83,1),(87,1),(163,1),(275,1)}
       124:{1,2,6}:{(84,1),(85,1),(150,1),(264,1)}
       125:{1,3,5,6}:{(85,1),(86,1),(88,1),(91,1),(162,1),(164,1),(165,1),(167,1),(227,1),(229,1),(230,1)}
       126:{2,4,6}:{(86,1),(87,1),(92,1),(163,1),(165,1),(166,1),(267,1)}
       127:{1,4,6}:{(88,1),(89,1),(93,1),(167,1)}
       128:{3,6}:{(89,1),(94,1)}
       129:{1,2,5,7}:{(90,1),(91,1),(155,1),(164,1),(168,1),(170,1),(226,1)}
       130:{1,4,7}:{(91,1),(92,1),(165,1)}
       131:{3,4,7}:{(92,1),(94,1),(166,1),(224,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(167,1),(169,1),(170,1),(229,1)}
       133:{1,4,7}:{(95,1),(97,1),(172,1),(278,1)}
       134:{2,4,6}:{(95,1),(96,1),(98,1),(172,1),(173,1)}
       135:{1,3,5}:{(96,1),(173,1),(174,1),(238,1)}
       136:{1,2,5,7}:{(97,1),(109,1),(171,1),(175,1),(205,1),(236,1)}
       137:{1,3,6}:{(97,1),(98,1),(172,1),(175,1)}
       138:{2,3,5,6}:{(98,1),(99,1),(100,1),(103,1),(173,1),(176,1),(177,1),(179,1),(188,1),(238,1),(241,1),(245,1),(248,1),(280,1),(281,1)}
       139:{1,4,6}:{(99,1),(104,1),(174,1),(177,1),(253,1)}
       140:{1,5,6}:{(100,1),(105,1),(178,1)}
       141:{2,4,6}:{(100,1),(101,1),(106,1),(178,1),(179,1),(241,1)}
       142:{1,2,6,7}:{(102,1),(114,1),(175,1),(180,1),(195,1),(241,1)}
       143:{1,3,5,7}:{(102,1),(103,1),(105,1),(176,1),(180,1),(181,1),(242,1)}
       144:{2,4,7}:{(103,1),(104,1),(177,1),(181,1),(182,1)}
       145:{1,4,5,7}:{(105,1),(106,1),(178,1),(181,1),(183,1),(237,1)}
       146:{3,5,7}:{(106,1),(179,1),(182,1),(238,1)}
       147:{2,4,7}:{(107,1),(109,1),(184,1),(185,1),(288,1)}
       148:{1,3,4,6}:{(107,1),(108,1),(110,1),(121,1),(172,1),(185,1),(186,1),(189,1),(196,1),(235,1),(248,1),(253,1),(257,1),(278,1),(282,1),(284,1),(287,1),(305,1)}
       149:{2,3,5}:{(108,1),(122,1),(173,1),(186,1),(187,1),(199,1),(238,1),(255,1),(280,1)}
       150:{2,6}:{(109,1),(110,1)}
       151:{1,3,5,6}:{(110,1),(111,1),(112,1),(115,1),(186,1),(188,1),(189,1),(248,1),(250,1),(287,1)}
       152:{2,4,6}:{(111,1),(116,1),(187,1),(189,1),(190,1)}
       153:{1,4,5,6}:{(112,1),(113,1),(117,1),(127,1),(178,1),(189,1),(191,1),(198,1),(237,1)}
       154:{3,5,6}:{(113,1),(118,1),(128,1),(179,1),(190,1),(199,1),(238,1),(248,1)}
       155:{2,5,7}:{(114,1),(115,1),(188,1),(192,1),(288,1)}
       156:{1,4,7}:{(115,1),(116,1),(189,1),(192,1)}
       157:{3,4,7}:{(116,1),(118,1),(190,1)}
       158:{1,3,5,7}:{(117,1),(118,1),(119,1),(191,1),(193,1),(194,1)}
       159:{2,6,7}:{(119,1),(194,1),(195,1),(202,1),(241,1)}
       160:{1,3,7}:{(120,1),(184,1),(196,1)}
       161:{1,2,4,6}:{(120,1),(121,1),(124,1),(185,1),(196,1),(197,1),(253,1),(282,1),(304,1),(312,1)}
       162:{1,5}:{(121,1),(122,1)}
       163:{2,4,5}:{(122,1),(123,1),(126,1),(198,1),(199,1),(255,1)}
       164:{1,2,5,6}:{(124,1),(125,1),(129,1),(188,1),(197,1),(200,1),(202,1),(250,1),(255,1)}
       165:{1,4,6}:{(125,1),(126,1),(130,1),(198,1),(253,1)}
       166:{3,4,6}:{(126,1),(128,1),(131,1),(199,1),(248,1),(284,1)}
       167:{1,3,6}:{(127,1),(128,1),(132,1),(202,1)}
       168:{1,2,4,7}:{(129,1),(130,1),(192,1),(200,1),(203,1),(204,1),(252,1),(288,1)}
       169:{1,3,4,7}:{(130,1),(131,1),(132,1),(201,1),(203,1),(204,1)}
       170:{2,5,7}:{(132,1),(202,1),(204,1),(205,1),(255,1)}
       171:{1,2,4,7}:{(133,1),(136,1),(147,1),(206,1),(207,1),(234,1),(277,1)}
       172:{1,4,6}:{(133,1),(134,1),(137,1),(208,1)}
       173:{2,5}:{(134,1),(135,1),(208,1)}
       174:{1,4,5}:{(135,1),(139,1),(209,1),(294,1)}
       175:{1,2,6}:{(136,1),(137,1),(150,1),(232,1)}
       176:{1,3,5,6}:{(137,1),(138,1),(140,1),(143,1),(208,1),(210,1),(211,1),(213,1),(259,1),(261,1),(262,1)}
       177:{2,4,6}:{(138,1),(139,1),(144,1),(209,1),(211,1),(212,1),(267,1)}
       178:{1,4,6}:{(140,1),(141,1),(145,1),(213,1)}
       179:{3,6}:{(141,1),(146,1)}
       180:{1,2,5,7}:{(142,1),(143,1),(155,1),(210,1),(214,1),(216,1),(226,1)}
       181:{1,4,7}:{(143,1),(144,1),(211,1)}
       182:{3,4,7}:{(144,1),(146,1),(212,1),(224,1)}
       183:{1,3,5,7}:{(145,1),(146,1),(213,1),(215,1),(216,1),(261,1)}
       184:{2,3,7}:{(147,1),(160,1),(206,1),(217,1),(224,1)}
       185:{2,4,6}:{(147,1),(148,1),(150,1),(217,1),(218,1),(267,1),(299,1),(310,1)}
       186:{1,3,5}:{(148,1),(149,1),(162,1),(208,1),(218,1),(219,1),(268,1),(275,1),(294,1)}
       187:{2,4,5}:{(149,1),(152,1),(219,1),(220,1),(267,1)}
       188:{2,5,6}:{(150,1),(151,1),(155,1),(218,1),(221,1),(299,1)}
       189:{1,4,6}:{(151,1),(152,1),(156,1),(219,1),(221,1)}
       190:{3,4,6}:{(152,1),(154,1),(157,1),(220,1)}
       191:{1,3,5,6}:{(153,1),(154,1),(158,1),(167,1),(213,1),(222,1),(223,1),(229,1),(261,1)}
       192:{2,4,7}:{(155,1),(156,1),(221,1),(224,1)}
       193:{1,3,4,7}:{(156,1),(157,1),(158,1),(222,1),(224,1),(225,1),(272,1)}
       194:{2,5,7}:{(158,1),(159,1),(223,1),(225,1),(226,1)}
       195:{1,6,7}:{(159,1),(226,1),(232,1),(264,1)}
       196:{1,3,6}:{(160,1),(161,1),(217,1),(227,1),(314,1)}
       197:{1,2,5}:{(161,1),(162,1),(218,1),(227,1),(294,1)}
       198:{1,4,5}:{(162,1),(163,1),(165,1),(229,1)}
       199:{3,5}:{(163,1),(166,1)}
       200:{1,2,4,6}:{(164,1),(165,1),(168,1),(221,1),(228,1),(230,1),(231,1),(271,1),(299,1)}
       201:{1,3,4,6}:{(165,1),(166,1),(167,1),(169,1),(229,1),(230,1),(231,1),(273,1)}
       202:{2,6}:{(167,1),(170,1),(232,1)}
       203:{1,3,7}:{(168,1),(224,1),(230,1),(233,1)}
       204:{2,4,7}:{(169,1),(170,1),(231,1),(233,1),(234,1)}
       205:{1,5,7}:{(170,1),(232,1),(234,1),(275,1)}
       206:{1,3,7}:{(171,1),(184,1),(235,1)}
       207:{1,2,4,6}:{(171,1),(172,1),(175,1),(185,1),(235,1),(236,1),(257,1),(278,1),(291,1),(307,1)}
       208:{1,5}:{(172,1),(173,1)}
       209:{2,4,5}:{(173,1),(174,1),(177,1),(237,1),(238,1),(280,1)}
       210:{1,2,5,6}:{(175,1),(176,1),(180,1),(188,1),(236,1),(239,1),(241,1),(250,1),(280,1)}
       211:{1,4,6}:{(176,1),(177,1),(181,1),(237,1),(278,1)}
       212:{3,4,6}:{(177,1),(179,1),(182,1),(238,1),(248,1),(284,1)}
       213:{1,3,6}:{(178,1),(179,1),(183,1),(241,1)}
       214:{1,2,4,7}:{(180,1),(181,1),(192,1),(239,1),(242,1),(243,1),(252,1),(288,1)}
       215:{1,3,4,7}:{(181,1),(182,1),(183,1),(240,1),(242,1),(243,1)}
       216:{2,5,7}:{(183,1),(241,1),(243,1),(244,1),(280,1)}
       217:{2,3,6}:{(184,1),(185,1),(196,1),(235,1),(245,1),(248,1),(313,1)}
       218:{2,5}:{(185,1),(186,1)}
       219:{1,4,5}:{(186,1),(187,1),(189,1),(246,1),(253,1),(278,1)}
       220:{3,4,5}:{(187,1),(190,1),(199,1),(238,1),(284,1)}
       221:{2,4,6}:{(188,1),(189,1),(192,1),(246,1),(248,1)}
       222:{1,3,4,6}:{(189,1),(190,1),(191,1),(193,1),(247,1),(248,1),(249,1),(287,1)}
       223:{2,5,6}:{(191,1),(194,1),(202,1),(241,1),(249,1),(250,1),(255,1),(280,1)}
       224:{3,7}:{(192,1),(248,1)}
       225:{2,4,7}:{(193,1),(194,1),(249,1),(251,1),(252,1),(288,1)}
       226:{1,5,7}:{(194,1),(195,1),(250,1),(252,1)}
       227:{1,3,5}:{(196,1),(197,1),(245,1),(253,1)}
       228:{1,2,4,5}:{(197,1),(198,1),(200,1),(246,1),(253,1),(254,1),(255,1),(286,1),(289,1),(306,1),(312,1)}
       229:{1,3,5}:{(198,1),(199,1),(201,1),(255,1)}
       230:{1,3,6}:{(200,1),(203,1),(248,1),(254,1),(256,1)}
       231:{2,4,6}:{(201,1),(202,1),(204,1),(255,1),(256,1),(257,1),(289,1)}
       232:{1,6}:{(202,1),(205,1)}
       233:{2,3,7}:{(203,1),(204,1),(256,1),(258,1),(288,1)}
       234:{1,4,7}:{(204,1),(205,1),(257,1),(258,1)}
       235:{1,3,6}:{(206,1),(207,1),(217,1),(259,1),(311,1)}
       236:{1,2,5}:{(207,1),(208,1),(218,1),(259,1),(275,1)}
       237:{1,4,5}:{(208,1),(209,1),(211,1),(261,1)}
       238:{3,5}:{(209,1),(212,1)}
       239:{1,2,4,6}:{(210,1),(211,1),(214,1),(221,1),(260,1),(262,1),(263,1),(271,1),(299,1)}
       240:{1,3,4,6}:{(211,1),(212,1),(213,1),(215,1),(261,1),(262,1),(263,1),(292,1)}
       241:{2,6}:{(213,1),(216,1),(264,1)}
       242:{1,3,7}:{(214,1),(224,1),(262,1),(265,1)}
       243:{2,4,7}:{(215,1),(216,1),(263,1),(265,1),(266,1)}
       244:{1,5,7}:{(216,1),(264,1),(266,1),(294,1)}
       245:{2,3,5}:{(217,1),(218,1),(227,1),(259,1),(267,1),(268,1)}
       246:{2,4,5}:{(218,1),(219,1),(221,1),(267,1),(268,1)}
       247:{1,3,4,5}:{(219,1),(220,1),(222,1),(229,1),(261,1),(268,1),(269,1),(273,1),(292,1),(298,1)}
       248:{3,6}:{(221,1),(224,1),(268,1)}
       249:{2,4,6}:{(222,1),(223,1),(225,1),(269,1),(270,1),(271,1),(299,1)}
       250:{1,5,6}:{(223,1),(226,1),(232,1),(264,1),(271,1),(275,1),(294,1)}
       251:{2,3,7}:{(224,1),(225,1),(270,1),(272,1)}
       252:{1,4,7}:{(225,1),(226,1),(271,1),(272,1)}
       253:{1,4}:{(227,1),(267,1)}
       254:{1,3,5}:{(228,1),(230,1),(268,1),(273,1),(274,1),(314,1)}
       255:{2,5}:{(229,1),(231,1),(275,1)}
       256:{2,3,6}:{(230,1),(231,1),(233,1),(274,1),(276,1),(299,1)}
       257:{1,4,6}:{(231,1),(232,1),(234,1),(275,1),(276,1),(300,1)}
       258:{1,3,7}:{(233,1),(234,1),(276,1),(277,1)}
       259:{1,3,5}:{(235,1),(236,1),(245,1),(278,1)}
       260:{1,2,4,5}:{(236,1),(237,1),(239,1),(246,1),(278,1),(279,1),(280,1),(286,1),(302,1),(306,1),(307,1)}
       261:{1,3,5}:{(237,1),(238,1),(240,1),(280,1)}
       262:{1,3,6}:{(239,1),(242,1),(248,1),(279,1),(281,1)}
       263:{2,4,6}:{(240,1),(241,1),(243,1),(280,1),(281,1),(282,1),(302,1)}
       264:{1,6}:{(241,1),(244,1)}
       265:{2,3,7}:{(242,1),(243,1),(281,1),(283,1),(288,1)}
       266:{1,4,7}:{(243,1),(244,1),(282,1),(283,1)}
       267:{2,4}:{(245,1),(253,1),(278,1),(284,1)}
       268:{3,5}:{(246,1),(248,1),(284,1)}
       269:{2,4,5}:{(247,1),(249,1),(255,1),(280,1),(285,1),(286,1),(289,1),(302,1),(306,1)}
       270:{2,3,6}:{(248,1),(249,1),(251,1),(285,1),(287,1)}
       271:{1,4,6}:{(249,1),(250,1),(252,1),(286,1),(287,1)}
       272:{1,3,7}:{(251,1),(252,1),(287,1),(288,1)}
       273:{1,3,4}:{(253,1),(254,1),(284,1),(289,1)}
       274:{2,3,5}:{(254,1),(255,1),(256,1),(289,1),(290,1),(306,1),(313,1)}
       275:{1,5}:{(255,1),(257,1)}
       276:{1,3,6}:{(256,1),(257,1),(258,1),(290,1),(291,1)}
       277:{1,2,7}:{(258,1),(288,1),(291,1)}
       278:{1,4}:{(259,1),(267,1)}
       279:{1,3,5}:{(260,1),(262,1),(268,1),(292,1),(293,1),(311,1)}
       280:{2,5}:{(261,1),(263,1),(294,1)}
       281:{2,3,6}:{(262,1),(263,1),(265,1),(293,1),(295,1),(299,1)}
       282:{1,4,6}:{(263,1),(264,1),(266,1),(294,1),(295,1),(308,1)}
       283:{1,3,7}:{(265,1),(266,1),(295,1),(296,1)}
       284:{3,4}:{(267,1),(268,1)}
       285:{2,3,5}:{(268,1),(269,1),(270,1),(297,1),(298,1)}
       286:{1,4,5}:{(269,1),(271,1),(275,1),(294,1),(298,1),(300,1),(308,1)}
       287:{1,3,6}:{(270,1),(271,1),(272,1),(298,1),(299,1)}
       288:{2,7}:{(272,1),(299,1)}
       289:{2,4}:{(273,1),(274,1),(300,1)}
       290:{1,3,5}:{(274,1),(275,1),(276,1),(300,1),(301,1),(311,1)}
       291:{1,2,6}:{(276,1),(277,1),(299,1),(301,1)}
       292:{1,3,4}:{(278,1),(279,1),(284,1),(302,1)}
       293:{2,3,5}:{(279,1),(280,1),(281,1),(302,1),(303,1),(306,1),(313,1)}
       294:{1,5}:{(280,1),(282,1)}
       295:{1,3,6}:{(281,1),(282,1),(283,1),(303,1),(304,1)}
       296:{1,2,7}:{(283,1),(288,1),(304,1)}
       297:{2,3,4}:{(284,1),(285,1),(289,1),(302,1),(305,1),(313,1)}
       298:{1,3,5}:{(285,1),(286,1),(287,1),(305,1),(306,1)}
       299:{2,6}:{(287,1),(288,1),(306,1)}
       300:{1,4}:{(289,1),(290,1)}
       301:{1,2,5}:{(290,1),(291,1),(306,1),(307,1)}
       302:{2,4}:{(292,1),(293,1),(308,1)}
       303:{1,3,5}:{(293,1),(294,1),(295,1),(308,1),(309,1),(314,1)}
       304:{1,2,6}:{(295,1),(296,1),(299,1),(309,1)}
       305:{1,3,4}:{(297,1),(298,1),(300,1),(308,1),(310,1),(311,1),(314,1)}
       306:{2,5}:{(298,1),(299,1),(310,1)}
       307:{1,2,4}:{(300,1),(301,1),(310,1),(311,1)}
       308:{1,4}:{(302,1),(303,1)}
       309:{1,2,5}:{(303,1),(304,1),(306,1),(312,1)}
       310:{2,4}:{(305,1),(306,1),(313,1)}
       311:{1,3}:{(307,1),(313,1)}
       312:{1,2,4}:{(308,1),(309,1),(310,1),(314,1)}
       313:{2,3}:{(310,1),(311,1),(314,1)}
       314:{1,3}:{(312,1),(313,1)}

2483 :   0:{1,2,3,5,6}:{(1,1),(2,1),(12,1),(50,1),(52,1),(54,1),(92,1),(194,1),(206,1),(307,1),(309,1),(404,1)}
         1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(27,1),(29,1),(87,1),(264,1),(359,1),(447,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1),(76,1),(139,1),(446,1)}
         3:{1,2,3,5,6}:{(8,1),(9,1),(34,1),(40,1),(102,1),(104,1),(106,1),(117,1),(129,1),(230,1),(232,1),(340,1)}
         4:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(52,1),(193,1),(307,1)}
         5:{1,2,3,6,7}:{(1,1),(13,1),(52,1),(135,1),(194,1),(320,1),(349,1),(405,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(11,1),(123,1),(483,1)}
         7:{1,2,4,5}:{(2,1),(12,1),(41,1),(309,1),(403,1)}
         8:{1,2,3,5,7}:{(3,1),(17,1),(18,1),(62,1),(64,1),(153,1),(185,1),(288,1),(389,1)}
         9:{1,2,4,6}:{(3,1),(16,1),(18,1),(19,1),(73,1),(142,1),(388,1)}
        10:{2,3,4,6}:{(4,1),(23,1),(24,1),(25,1),(76,1),(86,1),(158,1),(274,1)}
        11:{1,3,4,7}:{(4,1),(6,1),(24,1),(27,1),(359,1)}
        12:{1,3,5}:{(4,1),(7,1),(25,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(26,1),(29,1),(30,1),(179,1),(252,1),(397,1),(478,1)}
        14:{1,2,4,5,7}:{(6,1),(7,1),(27,1),(29,1),(30,1),(75,1),(88,1)}
        15:{1,2,4,5,6}:{(7,1),(28,1),(30,1),(31,1),(69,1),(76,1),(164,1),(178,1),(180,1),(254,1),(362,1),(379,1),(446,1)}
        16:{1,3,4,6}:{(9,1),(32,1),(33,1),(34,1),(104,1),(116,1),(230,1)}
        17:{1,2,3,6,7}:{(8,1),(35,1),(104,1),(117,1),(212,1),(243,1),(341,1),(413,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(33,1),(200,1),(434,1)}
        19:{1,2,4,5}:{(9,1),(34,1),(93,1),(232,1),(339,1)}
        20:{1,3,4,5,6}:{(38,1),(39,1),(43,1),(95,1),(111,1),(124,1),(201,1),(331,1),(333,1),(424,1)}
        21:{1,3,4,5}:{(12,1),(41,1),(43,1),(403,1),(421,1)}
        22:{1,2,3,6}:{(40,1),(44,1),(45,1),(230,1)}
        23:{1,3,4,6}:{(10,1),(45,1),(46,1),(47,1),(116,1),(121,1),(131,1),(230,1)}
        24:{2,3,4,7}:{(10,1),(11,1),(46,1),(49,1),(123,1),(328,1)}
        25:{2,3,5}:{(10,1),(12,1),(41,1),(47,1)}
        26:{1,3,4,6,7}:{(11,1),(13,1),(48,1),(51,1),(52,1),(136,1),(305,1),(350,1),(405,1),(442,1),(444,1),(483,1)}
        27:{1,3,5,7}:{(11,1),(12,1),(14,1),(49,1),(52,1)}
        28:{1,3,5,6}:{(12,1),(15,1),(43,1),(50,1),(52,1),(53,1),(307,1),(424,1)}
        29:{1,2,5,7}:{(13,1),(51,1),(54,1),(238,1),(309,1)}
        30:{1,2,4,6}:{(14,1),(52,1),(54,1),(122,1),(136,1)}
        31:{1,2,4,5,7}:{(15,1),(53,1),(55,1),(113,1),(123,1),(223,1),(238,1),(239,1),(311,1),(409,1),(425,1),(483,1)}
        32:{2,3,4,6}:{(16,1),(58,1),(59,1),(60,1),(142,1),(152,1),(158,1),(274,1)}
        33:{1,3,4,7}:{(16,1),(18,1),(59,1),(62,1),(288,1)}
        34:{1,3,5}:{(16,1),(19,1),(60,1)}
        35:{1,2,4,6,7}:{(17,1),(18,1),(61,1),(64,1),(65,1),(173,1),(258,1),(455,1),(516,1)}
        36:{1,2,4,5,7}:{(18,1),(19,1),(62,1),(64,1),(65,1),(141,1),(154,1)}
        37:{1,2,4,5,6}:{(19,1),(63,1),(65,1),(66,1),(69,1),(142,1),(164,1),(175,1),(257,1),(259,1),(291,1),(379,1),(388,1)}
        38:{2,4,5,6}:{(20,1),(68,1),(69,1),(70,1),(76,1),(142,1),(164,1),(178,1),(257,1)}
        39:{1,3,4,5,7}:{(20,1),(70,1),(71,1),(78,1),(144,1),(165,1),(181,1),(260,1),(382,1),(383,1),(465,1)}
        40:{1,2,3,5}:{(22,1),(73,1),(81,1),(171,1)}
        41:{2,4,5}:{(21,1),(25,1),(74,1),(76,1)}
        42:{1,3,4,5,7}:{(21,1),(27,1),(75,1),(77,1),(78,1),(88,1),(181,1),(189,1)}
        43:{1,3,4,6}:{(21,1),(28,1),(76,1),(78,1),(446,1),(462,1)}
        44:{1,2,3,7}:{(22,1),(80,1),(288,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(80,1),(81,1),(184,1)}
        46:{1,3,4,7}:{(23,1),(24,1),(80,1),(83,1),(177,1),(288,1)}
        47:{1,3,5}:{(23,1),(25,1),(74,1),(81,1)}
        48:{2,3,4,6,7}:{(24,1),(26,1),(82,1),(85,1),(86,1),(179,1),(190,1),(272,1),(297,1),(304,1),(378,1),(399,1),(402,1),(463,1)}
        49:{2,3,5,7}:{(24,1),(25,1),(27,1),(75,1),(83,1),(86,1)}
        50:{2,3,5,6}:{(25,1),(28,1),(76,1),(84,1),(86,1),(87,1),(164,1),(178,1),(274,1)}
        51:{1,3,5,7}:{(26,1),(29,1),(85,1),(88,1),(89,1),(357,1),(477,1)}
        52:{1,3,6}:{(27,1),(30,1),(86,1)}
        53:{1,3,5,7}:{(28,1),(31,1),(78,1),(87,1),(90,1),(359,1),(465,1)}
        54:{1,2,5,6}:{(29,1),(30,1),(89,1),(178,1),(478,1)}
        55:{1,2,4,6,7}:{(30,1),(31,1),(90,1),(91,1),(167,1),(179,1),(192,1),(281,1),(384,1)}
        56:{1,3,4,5}:{(34,1),(93,1),(95,1),(339,1),(421,1)}
        57:{1,2,3,6}:{(92,1),(96,1),(97,1),(307,1)}
        58:{1,3,4,6}:{(32,1),(97,1),(98,1),(99,1),(193,1),(198,1),(208,1),(307,1)}
        59:{2,3,4,7}:{(32,1),(33,1),(98,1),(101,1),(200,1),(328,1)}
        60:{2,3,5}:{(32,1),(34,1),(93,1),(99,1)}
        61:{1,3,4,6,7}:{(33,1),(35,1),(100,1),(103,1),(104,1),(213,1),(228,1),(341,1),(414,1),(434,1),(491,1),(493,1)}
        62:{1,3,5,7}:{(33,1),(34,1),(36,1),(101,1),(104,1)}
        63:{1,3,5,6}:{(34,1),(37,1),(95,1),(102,1),(104,1),(105,1),(230,1),(424,1)}
        64:{1,2,5,7}:{(35,1),(103,1),(106,1),(232,1),(315,1)}
        65:{1,2,4,6}:{(36,1),(104,1),(106,1),(199,1),(213,1)}
        66:{1,2,4,5,7}:{(37,1),(105,1),(107,1),(113,1),(200,1),(223,1),(234,1),(315,1),(316,1),(345,1),(425,1),(434,1)}
        67:{2,3,4,5}:{(41,1),(93,1),(108,1),(110,1),(216,1),(421,1)}
        68:{2,3,5,6}:{(38,1),(110,1),(111,1),(112,1),(424,1)}
        69:{1,4,5,6}:{(38,1),(111,1),(113,1),(121,1),(198,1),(235,1),(312,1)}
        70:{2,4,5,7}:{(38,1),(39,1),(112,1),(113,1),(114,1),(123,1),(200,1),(223,1),(238,1),(315,1)}
        71:{1,3,4,6,7}:{(39,1),(114,1),(115,1),(224,1),(336,1),(337,1),(428,1)}
        72:{1,2,3,5,7}:{(40,1),(44,1),(117,1),(118,1),(128,1),(229,1),(232,1),(413,1),(480,1),(490,1)}
        73:{1,2,4}:{(40,1),(116,1)}
        74:{1,4,5}:{(41,1),(47,1),(121,1)}
        75:{2,4,5,7}:{(41,1),(42,1),(49,1),(120,1),(122,1),(123,1),(238,1)}
        76:{2,4,6}:{(41,1),(43,1),(50,1),(121,1),(123,1)}
        77:{1,3,4,6}:{(42,1),(52,1),(122,1),(124,1),(136,1),(247,1)}
        78:{1,3,4,7}:{(43,1),(53,1),(123,1),(483,1),(496,1)}
        79:{1,2,3,6,7}:{(44,1),(117,1),(126,1),(127,1),(341,1),(352,1),(443,1),(535,1)}
        80:{1,2,4,7}:{(44,1),(45,1),(46,1),(128,1)}
        81:{1,2,5}:{(45,1),(47,1)}
        82:{1,3,4,6,7}:{(46,1),(48,1),(127,1),(130,1),(131,1),(228,1),(236,1),(240,1),(245,1),(341,1),(352,1),(434,1)}
        83:{1,3,5,7}:{(46,1),(47,1),(49,1),(120,1),(128,1),(131,1)}
        84:{1,3,5,6}:{(47,1),(50,1),(121,1),(129,1),(131,1),(132,1),(230,1),(235,1)}
        85:{2,3,5,7}:{(48,1),(51,1),(130,1),(133,1),(134,1),(238,1),(326,1),(348,1),(440,1)}
        86:{2,3,6}:{(49,1),(52,1),(122,1),(131,1)}
        87:{2,3,5,7}:{(50,1),(53,1),(123,1),(132,1),(135,1),(223,1),(238,1),(328,1)}
        88:{1,4,5,7}:{(51,1),(133,1),(136,1),(403,1),(483,1)}
        89:{1,3,5,6}:{(51,1),(52,1),(54,1),(134,1),(136,1),(439,1),(442,1)}
        90:{1,3,6,7}:{(52,1),(53,1),(55,1),(135,1),(428,1)}
        91:{1,2,5,6,7}:{(54,1),(55,1),(137,1),(226,1),(238,1),(335,1),(409,1),(507,1)}
        92:{1,2,3,5}:{(57,1),(139,1),(147,1),(250,1)}
        93:{2,4,5}:{(56,1),(60,1),(140,1),(142,1)}
        94:{1,3,4,5,7}:{(56,1),(62,1),(141,1),(143,1),(144,1),(154,1),(260,1),(268,1)}
        95:{1,3,4,6}:{(56,1),(63,1),(142,1),(144,1),(388,1),(462,1)}
        96:{1,2,3,7}:{(57,1),(146,1),(359,1)}
        97:{1,2,4,6}:{(57,1),(58,1),(139,1),(146,1),(147,1),(263,1)}
        98:{1,3,4,7}:{(58,1),(59,1),(146,1),(149,1),(256,1),(359,1)}
        99:{1,3,5}:{(58,1),(60,1),(140,1),(147,1)}
       100:{2,3,4,6,7}:{(59,1),(61,1),(148,1),(151,1),(152,1),(258,1),(269,1),(272,1),(368,1),(375,1),(378,1),(457,1),(460,1),(463,1)}
       101:{2,3,5,7}:{(59,1),(60,1),(62,1),(141,1),(149,1),(152,1)}
       102:{2,3,5,6}:{(60,1),(63,1),(142,1),(150,1),(152,1),(153,1),(164,1),(257,1),(274,1)}
       103:{1,3,5,7}:{(61,1),(64,1),(151,1),(154,1),(155,1),(286,1),(515,1)}
       104:{1,3,6}:{(62,1),(65,1),(152,1)}
       105:{1,3,5,7}:{(63,1),(66,1),(144,1),(153,1),(156,1),(288,1),(465,1)}
       106:{1,2,5,6}:{(64,1),(65,1),(155,1),(257,1),(516,1)}
       107:{1,2,4,6,7}:{(65,1),(66,1),(156,1),(157,1),(167,1),(258,1),(271,1),(281,1),(384,1)}
       108:{1,3,4,5}:{(67,1),(74,1),(140,1),(159,1),(161,1),(171,1),(250,1)}
       109:{2,3,4,5,7}:{(67,1),(75,1),(141,1),(160,1),(162,1),(163,1),(189,1),(268,1),(273,1),(280,1),(301,1),(372,1),(376,1),(461,1),(463,1),(521,1)}
       110:{2,3,4,6}:{(67,1),(68,1),(76,1),(142,1),(161,1),(163,1),(274,1),(462,1)}
       111:{1,3,5,6}:{(68,1),(69,1),(161,1),(164,1),(165,1)}
       112:{2,3,5,7}:{(68,1),(70,1),(163,1),(165,1),(166,1),(465,1)}
       113:{1,4,5,7}:{(69,1),(70,1),(165,1),(167,1),(177,1),(256,1),(294,1),(365,1)}
       114:{2,4,6,7}:{(70,1),(71,1),(166,1),(167,1),(168,1),(281,1)}
       115:{1,3,5,6,7}:{(71,1),(168,1),(169,1),(181,1),(260,1),(285,1)}
       116:{1,3,4}:{(73,1),(158,1),(171,1)}
       117:{1,2,3,6}:{(72,1),(173,1),(184,1),(287,1),(516,1)}
       118:{1,2,4,7}:{(72,1),(73,1),(170,1),(173,1),(508,1)}
       119:{1,2,4,5}:{(73,1),(74,1),(81,1),(159,1),(171,1),(175,1)}
       120:{1,4,5,7}:{(74,1),(75,1),(83,1),(176,1),(177,1),(294,1)}
       121:{1,4,6}:{(74,1),(76,1),(84,1),(177,1)}
       122:{2,4,6}:{(75,1),(77,1),(86,1),(176,1),(178,1)}
       123:{2,4,7}:{(76,1),(78,1),(87,1),(177,1)}
       124:{1,3,5,6}:{(77,1),(178,1),(180,1),(181,1),(295,1)}
       125:{1,3,4,6,7}:{(77,1),(78,1),(90,1),(179,1),(181,1),(192,1),(304,1)}
       126:{1,2,3,5,7}:{(79,1),(172,1),(182,1),(183,1),(298,1),(389,1),(476,1),(545,1),(552,1)}
       127:{1,2,4,6,7}:{(79,1),(80,1),(82,1),(173,1),(182,1),(183,1),(184,1),(299,1),(402,1)}
       128:{1,2,5,7}:{(80,1),(81,1),(83,1),(184,1)}
       129:{1,2,5,6}:{(81,1),(84,1),(164,1),(175,1),(184,1),(185,1)}
       130:{1,3,5,7}:{(82,1),(85,1),(183,1),(186,1),(187,1),(286,1),(294,1)}
       131:{1,3,6}:{(83,1),(86,1),(176,1),(184,1)}
       132:{1,3,5,7}:{(84,1),(87,1),(177,1),(185,1),(188,1),(288,1),(294,1)}
       133:{2,4,5,7}:{(85,1),(88,1),(186,1),(189,1),(190,1),(376,1),(463,1)}
       134:{2,3,5,6}:{(85,1),(86,1),(89,1),(178,1),(187,1),(190,1),(295,1),(395,1),(399,1)}
       135:{2,3,6,7}:{(86,1),(87,1),(90,1),(179,1),(188,1),(281,1)}
       136:{1,4,6}:{(88,1),(89,1),(190,1)}
       137:{1,3,5,6,7}:{(89,1),(90,1),(91,1),(181,1),(191,1),(192,1),(447,1),(477,1),(479,1)}
       138:{1,2,3,5,7}:{(92,1),(96,1),(194,1),(195,1),(205,1),(306,1),(309,1),(349,1),(431,1),(441,1)}
       139:{1,2,4}:{(92,1),(193,1)}
       140:{1,4,5}:{(93,1),(99,1),(198,1)}
       141:{2,4,5,7}:{(93,1),(94,1),(101,1),(197,1),(199,1),(200,1),(315,1)}
       142:{2,4,6}:{(93,1),(95,1),(102,1),(198,1),(200,1)}
       143:{1,3,4,6}:{(94,1),(104,1),(199,1),(201,1),(213,1),(324,1)}
       144:{1,3,4,7}:{(95,1),(105,1),(200,1),(434,1),(496,1)}
       145:{1,2,3,6,7}:{(96,1),(194,1),(203,1),(204,1),(405,1),(416,1),(492,1),(507,1)}
       146:{1,2,4,7}:{(96,1),(97,1),(98,1),(205,1)}
       147:{1,2,5}:{(97,1),(99,1)}
       148:{1,3,4,6,7}:{(98,1),(100,1),(204,1),(207,1),(208,1),(305,1),(313,1),(317,1),(322,1),(405,1),(416,1),(483,1)}
       149:{1,3,5,7}:{(98,1),(99,1),(101,1),(197,1),(205,1),(208,1)}
       150:{1,3,5,6}:{(99,1),(102,1),(198,1),(206,1),(208,1),(209,1),(307,1),(312,1)}
       151:{2,3,5,7}:{(100,1),(103,1),(207,1),(210,1),(211,1),(315,1),(326,1),(412,1),(489,1)}
       152:{2,3,6}:{(101,1),(104,1),(199,1),(208,1)}
       153:{2,3,5,7}:{(102,1),(105,1),(200,1),(209,1),(212,1),(223,1),(315,1),(328,1)}
       154:{1,4,5,7}:{(103,1),(210,1),(213,1),(339,1),(434,1)}
       155:{1,3,5,6}:{(103,1),(104,1),(106,1),(211,1),(213,1),(488,1),(491,1)}
       156:{1,3,6,7}:{(104,1),(105,1),(107,1),(212,1),(428,1)}
       157:{1,2,5,6,7}:{(106,1),(107,1),(214,1),(226,1),(315,1),(335,1),(345,1),(535,1)}
       158:{2,3,4}:{(116,1),(193,1),(216,1)}
       159:{2,4,5}:{(108,1),(216,1),(218,1)}
       160:{1,3,4,5,7}:{(108,1),(109,1),(120,1),(197,1),(217,1),(219,1),(220,1),(229,1),(306,1),(332,1),(339,1),(354,1),(403,1),(418,1),(421,1),(434,1),(483,1),(494,1),(496,1),(538,1)}
       161:{1,3,4,6}:{(108,1),(110,1),(111,1),(121,1),(198,1),(218,1),(220,1),(230,1),(307,1)}
       162:{2,3,4,6}:{(109,1),(122,1),(199,1),(219,1),(221,1),(247,1),(324,1),(327,1),(355,1),(419,1),(422,1)}
       163:{2,3,4,7}:{(110,1),(112,1),(123,1),(200,1),(220,1),(328,1),(496,1)}
       164:{2,5,6}:{(111,1),(218,1),(223,1)}
       165:{1,3,5,7}:{(111,1),(112,1),(113,1),(220,1),(223,1),(224,1)}
       166:{2,3,6,7}:{(112,1),(114,1),(224,1),(428,1)}
       167:{1,4,6,7}:{(113,1),(114,1),(224,1),(226,1)}
       168:{2,5,6,7}:{(114,1),(115,1),(226,1),(238,1),(315,1)}
       169:{1,4,5,6,7}:{(115,1),(227,1),(239,1),(316,1),(336,1),(430,1)}
       170:{1,3,4,7}:{(116,1),(118,1),(215,1),(228,1),(229,1),(434,1),(529,1)}
       171:{1,3,5}:{(116,1),(119,1),(216,1),(230,1)}
       172:{1,2,3,5,6}:{(117,1),(126,1),(231,1),(232,1),(242,1),(340,1),(343,1),(352,1),(437,1),(480,1),(533,1),(549,1)}
       173:{1,2,4,6}:{(117,1),(118,1),(228,1),(232,1)}
       174:{1,2,4,5,7}:{(118,1),(119,1),(120,1),(128,1),(217,1),(229,1),(232,1),(233,1),(234,1),(339,1),(345,1),(418,1),(434,1),(490,1),(530,1),(550,1)}
       175:{1,2,4,6}:{(119,1),(121,1),(129,1),(218,1),(230,1),(234,1)}
       176:{1,4,6}:{(120,1),(122,1),(131,1),(235,1)}
       177:{1,4,7}:{(121,1),(123,1),(132,1)}
       178:{2,5,6}:{(122,1),(124,1),(235,1),(238,1)}
       179:{2,4,6,7}:{(122,1),(123,1),(125,1),(135,1),(236,1),(238,1)}
       180:{1,4,5,6}:{(124,1),(136,1),(237,1),(239,1),(439,1)}
       181:{1,3,5,7}:{(124,1),(125,1),(238,1),(239,1),(348,1)}
       182:{1,2,4,7}:{(126,1),(231,1),(240,1),(434,1),(504,1)}
       183:{1,2,5,7}:{(127,1),(130,1),(232,1),(242,1),(440,1)}
       184:{1,2,6}:{(128,1),(131,1)}
       185:{1,2,5,7}:{(129,1),(132,1),(223,1),(234,1),(243,1)}
       186:{1,4,5,7}:{(130,1),(133,1),(245,1),(339,1),(434,1)}
       187:{1,3,5,6}:{(130,1),(131,1),(134,1),(235,1),(242,1),(245,1),(352,1)}
       188:{1,3,6,7}:{(131,1),(132,1),(135,1),(236,1),(243,1)}
       189:{3,4,5,7}:{(133,1),(247,1),(348,1),(421,1),(496,1)}
       190:{2,4,6}:{(133,1),(134,1),(136,1),(245,1),(247,1)}
       191:{2,3,5,6,7}:{(134,1),(135,1),(137,1),(238,1),(246,1),(248,1),(335,1),(348,1),(423,1),(428,1),(440,1),(443,1)}
       192:{1,4,6,7}:{(136,1),(137,1),(239,1),(248,1),(483,1)}
       193:{1,3,4}:{(139,1),(158,1),(250,1)}
       194:{1,2,3,6}:{(138,1),(252,1),(263,1),(358,1),(478,1)}
       195:{1,2,4,7}:{(138,1),(139,1),(249,1),(252,1),(470,1)}
       196:{1,2,4,5}:{(139,1),(140,1),(147,1),(159,1),(250,1),(254,1)}
       197:{1,4,5,7}:{(140,1),(141,1),(149,1),(255,1),(256,1),(365,1)}
       198:{1,4,6}:{(140,1),(142,1),(150,1),(256,1)}
       199:{2,4,6}:{(141,1),(143,1),(152,1),(255,1),(257,1)}
       200:{2,4,7}:{(142,1),(144,1),(153,1),(256,1)}
       201:{1,3,5,6}:{(143,1),(257,1),(259,1),(260,1),(366,1)}
       202:{1,3,4,6,7}:{(143,1),(144,1),(156,1),(258,1),(260,1),(271,1),(375,1)}
       203:{1,2,3,5,7}:{(145,1),(251,1),(261,1),(262,1),(369,1),(447,1),(514,1),(528,1),(548,1)}
       204:{1,2,4,6,7}:{(145,1),(146,1),(148,1),(252,1),(261,1),(262,1),(263,1),(370,1),(460,1)}
       205:{1,2,5,7}:{(146,1),(147,1),(149,1),(263,1)}
       206:{1,2,5,6}:{(147,1),(150,1),(164,1),(254,1),(263,1),(264,1)}
       207:{1,3,5,7}:{(148,1),(151,1),(262,1),(265,1),(266,1),(357,1),(365,1)}
       208:{1,3,6}:{(149,1),(152,1),(255,1),(263,1)}
       209:{1,3,5,7}:{(150,1),(153,1),(256,1),(264,1),(267,1),(359,1),(365,1)}
       210:{2,4,5,7}:{(151,1),(154,1),(265,1),(268,1),(269,1),(376,1),(463,1)}
       211:{2,3,5,6}:{(151,1),(152,1),(155,1),(257,1),(266,1),(269,1),(366,1),(453,1),(457,1)}
       212:{2,3,6,7}:{(152,1),(153,1),(156,1),(258,1),(267,1),(281,1)}
       213:{1,4,6}:{(154,1),(155,1),(269,1)}
       214:{1,3,5,6,7}:{(155,1),(156,1),(157,1),(260,1),(270,1),(271,1),(389,1),(515,1),(517,1)}
       215:{2,3,4,7}:{(158,1),(170,1),(249,1),(272,1),(273,1),(463,1),(518,1)}
       216:{2,3,5}:{(158,1),(159,1),(171,1),(250,1),(274,1)}
       217:{2,4,5,7}:{(159,1),(160,1),(273,1),(275,1),(276,1),(376,1),(380,1),(463,1),(519,1),(547,1)}
       218:{2,4,6}:{(159,1),(161,1),(164,1),(274,1),(276,1)}
       219:{1,3,4,6}:{(160,1),(162,1),(176,1),(255,1),(275,1),(277,1),(287,1),(358,1),(388,1),(401,1),(446,1),(459,1),(462,1)}
       220:{1,3,4,7}:{(161,1),(163,1),(165,1),(177,1),(256,1),(276,1),(288,1),(359,1)}
       221:{2,3,5,6}:{(162,1),(178,1),(257,1),(277,1),(279,1),(280,1),(295,1),(366,1),(395,1),(453,1)}
       222:{2,3,4,6,7}:{(162,1),(163,1),(166,1),(179,1),(258,1),(278,1),(280,1),(283,1),(304,1),(375,1),(378,1),(402,1),(460,1),(463,1),(468,1),(521,1)}
       223:{2,5,7}:{(164,1),(165,1),(276,1),(281,1)}
       224:{1,3,6,7}:{(165,1),(166,1),(167,1),(281,1)}
       225:{2,3,5,6,7}:{(166,1),(168,1),(280,1),(282,1),(283,1),(285,1),(386,1),(468,1)}
       226:{1,5,6,7}:{(167,1),(168,1),(294,1),(365,1)}
       227:{2,4,5,6,7}:{(168,1),(169,1),(283,1),(284,1),(285,1),(296,1),(367,1),(384,1),(386,1)}
       228:{1,3,4,6}:{(170,1),(173,1),(272,1),(286,1),(287,1),(388,1)}
       229:{1,3,5,7}:{(170,1),(171,1),(174,1),(273,1),(286,1),(287,1),(288,1),(542,1),(552,1)}
       230:{1,3,6}:{(171,1),(175,1),(274,1),(288,1)}
       231:{1,2,4,6}:{(172,1),(182,1),(289,1),(290,1),(388,1),(472,1),(508,1)}
       232:{1,2,5}:{(173,1),(286,1)}
       233:{1,2,4,6}:{(174,1),(176,1),(184,1),(275,1),(287,1),(291,1),(388,1),(459,1),(516,1)}
       234:{1,2,4,7}:{(175,1),(177,1),(185,1),(276,1),(288,1)}
       235:{1,5,6}:{(176,1),(178,1),(294,1)}
       236:{1,4,6,7}:{(176,1),(177,1),(179,1),(188,1),(294,1)}
       237:{2,4,5,6}:{(178,1),(180,1),(190,1),(293,1),(295,1),(296,1),(395,1)}
       238:{2,5,7}:{(178,1),(179,1),(181,1),(294,1)}
       239:{1,4,5,7}:{(180,1),(181,1),(192,1),(296,1),(477,1)}
       240:{1,3,4,7}:{(182,1),(289,1),(297,1),(298,1),(552,1)}
       241:{1,2,4,5,7}:{(182,1),(183,1),(186,1),(290,1),(298,1),(299,1),(301,1)}
       242:{1,2,5,6}:{(183,1),(184,1),(187,1),(299,1),(395,1)}
       243:{1,2,6,7}:{(184,1),(185,1),(188,1),(281,1)}
       244:{1,3,4,5,7}:{(186,1),(189,1),(298,1),(301,1),(302,1),(387,1),(396,1),(473,1)}
       245:{1,4,6}:{(186,1),(187,1),(190,1)}
       246:{1,3,5,6,7}:{(187,1),(188,1),(191,1),(294,1),(300,1),(303,1),(389,1),(396,1),(400,1)}
       247:{3,4,6}:{(189,1),(190,1),(295,1)}
       248:{2,4,6,7}:{(190,1),(191,1),(192,1),(296,1),(303,1),(304,1),(463,1)}
       249:{1,3,4,7}:{(193,1),(195,1),(215,1),(305,1),(306,1),(483,1),(501,1)}
       250:{1,3,5}:{(193,1),(196,1),(216,1),(307,1)}
       251:{1,2,3,5,6}:{(194,1),(203,1),(308,1),(309,1),(319,1),(404,1),(407,1),(416,1),(431,1),(486,1),(505,1),(540,1)}
       252:{1,2,4,6}:{(194,1),(195,1),(305,1),(309,1)}
       253:{1,2,4,5,7}:{(195,1),(196,1),(197,1),(205,1),(217,1),(306,1),(309,1),(310,1),(311,1),(354,1),(403,1),(409,1),(441,1),(483,1),(502,1),(541,1)}
       254:{1,2,4,6}:{(196,1),(198,1),(206,1),(218,1),(307,1),(311,1)}
       255:{1,4,6}:{(197,1),(199,1),(208,1),(312,1)}
       256:{1,4,7}:{(198,1),(200,1),(209,1)}
       257:{2,5,6}:{(199,1),(201,1),(312,1),(315,1)}
       258:{2,4,6,7}:{(199,1),(200,1),(202,1),(212,1),(313,1),(315,1)}
       259:{1,4,5,6}:{(201,1),(213,1),(314,1),(316,1),(488,1)}
       260:{1,3,5,7}:{(201,1),(202,1),(315,1),(316,1),(412,1)}
       261:{1,2,4,7}:{(203,1),(308,1),(317,1),(483,1),(532,1)}
       262:{1,2,5,7}:{(204,1),(207,1),(309,1),(319,1),(489,1)}
       263:{1,2,6}:{(205,1),(208,1)}
       264:{1,2,5,7}:{(206,1),(209,1),(223,1),(311,1),(320,1)}
       265:{1,4,5,7}:{(207,1),(210,1),(322,1),(403,1),(483,1)}
       266:{1,3,5,6}:{(207,1),(208,1),(211,1),(312,1),(319,1),(322,1),(416,1)}
       267:{1,3,6,7}:{(208,1),(209,1),(212,1),(313,1),(320,1)}
       268:{3,4,5,7}:{(210,1),(324,1),(412,1),(421,1),(496,1)}
       269:{2,4,6}:{(210,1),(211,1),(213,1),(322,1),(324,1)}
       270:{2,3,5,6,7}:{(211,1),(212,1),(214,1),(315,1),(323,1),(325,1),(335,1),(412,1),(423,1),(428,1),(489,1),(492,1)}
       271:{1,4,6,7}:{(213,1),(214,1),(316,1),(325,1),(434,1)}
       272:{2,3,4,6}:{(215,1),(228,1),(305,1),(326,1),(327,1),(422,1)}
       273:{2,3,5,7}:{(215,1),(216,1),(217,1),(229,1),(306,1),(326,1),(327,1),(328,1),(536,1),(551,1)}
       274:{2,3,6}:{(216,1),(218,1),(230,1),(307,1),(328,1)}
       275:{2,4,6}:{(217,1),(219,1),(327,1),(329,1)}
       276:{2,4,7}:{(218,1),(220,1),(223,1),(328,1)}
       277:{1,3,5,6}:{(219,1),(221,1),(235,1),(312,1),(329,1),(331,1),(332,1),(424,1),(439,1),(488,1)}
       278:{1,3,4,6,7}:{(219,1),(220,1),(222,1),(224,1),(236,1),(313,1),(330,1),(332,1),(336,1),(341,1),(405,1),(428,1),(434,1),(444,1),(483,1),(493,1),(496,1),(500,1),(538,1)}
       279:{2,4,5,6}:{(221,1),(331,1),(333,1),(334,1),(422,1)}
       280:{2,3,5,7}:{(221,1),(222,1),(238,1),(315,1),(332,1),(334,1),(348,1),(412,1),(440,1),(489,1)}
       281:{2,6,7}:{(223,1),(224,1)}
       282:{1,3,5,6,7}:{(224,1),(225,1),(226,1),(332,1),(335,1),(336,1),(428,1),(430,1),(500,1)}
       283:{2,4,6,7}:{(225,1),(334,1),(336,1),(337,1)}
       284:{1,4,5,6,7}:{(226,1),(227,1),(336,1),(338,1),(347,1),(411,1)}
       285:{3,5,6,7}:{(227,1),(337,1),(348,1),(412,1),(428,1)}
       286:{1,3,5}:{(228,1),(232,1),(326,1),(339,1)}
       287:{1,3,6}:{(229,1),(233,1),(327,1)}
       288:{1,3,7}:{(230,1),(234,1),(328,1)}
       289:{1,3,4,6}:{(231,1),(240,1),(342,1),(343,1),(352,1),(529,1),(549,1)}
       290:{1,2,4,5}:{(231,1),(232,1),(339,1),(343,1),(432,1)}
       291:{1,2,5,6}:{(232,1),(233,1),(235,1),(329,1),(340,1),(345,1),(488,1)}
       292:{1,2,4,6,7}:{(233,1),(234,1),(236,1),(243,1),(330,1),(341,1),(345,1),(434,1),(493,1),(535,1),(550,1)}
       293:{1,4,5,6}:{(235,1),(237,1),(245,1),(346,1),(347,1)}
       294:{1,5,7}:{(235,1),(236,1),(238,1)}
       295:{3,5,6}:{(237,1),(247,1),(348,1)}
       296:{2,4,5,7}:{(237,1),(238,1),(239,1),(248,1),(347,1),(348,1),(440,1)}
       297:{2,3,4,7}:{(240,1),(342,1),(350,1),(351,1),(504,1),(551,1)}
       298:{1,3,5,7}:{(240,1),(241,1),(343,1),(351,1),(352,1)}
       299:{1,2,4,6}:{(241,1),(242,1),(245,1),(352,1),(355,1)}
       300:{1,2,5,6,7}:{(242,1),(243,1),(246,1),(335,1),(345,1),(353,1),(430,1),(440,1)}
       301:{2,4,5,7}:{(244,1),(351,1),(354,1),(355,1),(432,1),(440,1),(504,1)}
       302:{1,3,4,6}:{(244,1),(245,1),(247,1),(346,1),(352,1),(355,1)}
       303:{1,4,6,7}:{(245,1),(246,1),(248,1),(347,1),(434,1)}
       304:{3,4,6,7}:{(247,1),(248,1),(348,1),(428,1),(496,1)}
       305:{1,3,4,6}:{(249,1),(252,1),(272,1),(357,1),(358,1),(446,1)}
       306:{1,3,5,7}:{(249,1),(250,1),(253,1),(273,1),(357,1),(358,1),(359,1),(525,1),(548,1)}
       307:{1,3,6}:{(250,1),(254,1),(274,1),(359,1)}
       308:{1,2,4,6}:{(251,1),(261,1),(360,1),(361,1),(446,1),(470,1),(510,1)}
       309:{1,2,5}:{(252,1),(357,1)}
       310:{1,2,4,6}:{(253,1),(255,1),(263,1),(275,1),(358,1),(362,1),(401,1),(446,1),(478,1)}
       311:{1,2,4,7}:{(254,1),(256,1),(264,1),(276,1),(359,1)}
       312:{1,5,6}:{(255,1),(257,1),(365,1)}
       313:{1,4,6,7}:{(255,1),(256,1),(258,1),(267,1),(365,1)}
       314:{2,4,5,6}:{(257,1),(259,1),(269,1),(364,1),(366,1),(367,1),(453,1)}
       315:{2,5,7}:{(257,1),(258,1),(260,1),(365,1)}
       316:{1,4,5,7}:{(259,1),(260,1),(271,1),(367,1),(515,1)}
       317:{1,3,4,7}:{(261,1),(360,1),(368,1),(369,1),(548,1)}
       318:{1,2,4,5,7}:{(261,1),(262,1),(265,1),(361,1),(369,1),(370,1),(372,1)}
       319:{1,2,5,6}:{(262,1),(263,1),(266,1),(370,1),(453,1)}
       320:{1,2,6,7}:{(263,1),(264,1),(267,1),(281,1)}
       321:{1,3,4,5,7}:{(265,1),(268,1),(369,1),(372,1),(373,1),(445,1),(454,1),(511,1)}
       322:{1,4,6}:{(265,1),(266,1),(269,1)}
       323:{1,3,5,6,7}:{(266,1),(267,1),(270,1),(365,1),(371,1),(374,1),(447,1),(454,1),(458,1)}
       324:{3,4,6}:{(268,1),(269,1),(366,1)}
       325:{2,4,6,7}:{(269,1),(270,1),(271,1),(367,1),(374,1),(375,1),(463,1)}
       326:{2,3,5}:{(272,1),(286,1),(357,1),(376,1)}
       327:{2,3,6}:{(273,1),(275,1),(287,1),(358,1)}
       328:{2,3,7}:{(274,1),(276,1),(288,1),(359,1)}
       329:{2,5,6}:{(275,1),(277,1),(380,1)}
       330:{2,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(378,1),(380,1),(463,1),(524,1),(547,1)}
       331:{1,4,5,6}:{(277,1),(279,1),(379,1),(382,1),(388,1),(446,1)}
       332:{1,3,5,7}:{(277,1),(278,1),(280,1),(294,1),(365,1),(380,1),(382,1),(465,1),(477,1),(515,1)}
       333:{3,4,5,6}:{(279,1),(295,1),(366,1),(383,1),(462,1)}
       334:{2,4,5,7}:{(279,1),(280,1),(283,1),(382,1),(383,1),(463,1)}
       335:{2,5,6,7}:{(281,1),(282,1),(380,1),(384,1),(524,1)}
       336:{1,4,6,7}:{(282,1),(283,1),(382,1),(384,1)}
       337:{3,4,6,7}:{(283,1),(285,1),(383,1)}
       338:{1,3,5,6,7}:{(284,1),(285,1),(385,1),(386,1),(396,1),(454,1)}
       339:{1,4,5}:{(286,1),(376,1),(388,1)}
       340:{1,3,5,6}:{(286,1),(287,1),(291,1),(377,1),(388,1),(389,1)}
       341:{1,3,6,7}:{(287,1),(288,1),(292,1),(378,1),(389,1),(552,1)}
       342:{2,3,4,6}:{(289,1),(297,1),(391,1),(392,1),(399,1),(472,1),(518,1),(546,1)}
       343:{1,3,5}:{(289,1),(290,1),(392,1)}
       344:{1,2,4,5,6}:{(290,1),(291,1),(293,1),(299,1),(379,1),(388,1),(393,1),(394,1),(395,1),(466,1),(472,1),(522,1),(543,1)}
       345:{1,2,5,7}:{(291,1),(292,1),(294,1),(380,1),(389,1),(515,1)}
       346:{1,3,5,6}:{(293,1),(295,1),(302,1),(395,1),(396,1)}
       347:{1,4,5,7}:{(293,1),(294,1),(296,1),(303,1),(396,1)}
       348:{3,5,7}:{(295,1),(296,1),(304,1)}
       349:{1,2,3,7}:{(390,1),(397,1),(548,1)}
       350:{1,3,4,7}:{(297,1),(391,1),(397,1),(398,1),(527,1),(548,1)}
       351:{2,3,5,7}:{(297,1),(298,1),(301,1),(392,1),(398,1),(399,1)}
       352:{1,3,6}:{(298,1),(299,1),(399,1)}
       353:{1,2,4,6,7}:{(299,1),(300,1),(303,1),(384,1),(394,1),(400,1),(402,1),(469,1),(524,1)}
       354:{1,4,5,7}:{(301,1),(398,1),(401,1),(471,1),(477,1),(527,1)}
       355:{2,4,6}:{(301,1),(302,1),(395,1),(399,1),(401,1)}
       356:{1,3,4,6,7}:{(302,1),(303,1),(304,1),(396,1),(400,1),(402,1),(473,1)}
       357:{1,3,5}:{(305,1),(309,1),(326,1),(403,1)}
       358:{1,3,6}:{(306,1),(310,1),(327,1)}
       359:{1,3,7}:{(307,1),(311,1),(328,1)}
       360:{1,3,4,6}:{(308,1),(317,1),(406,1),(407,1),(416,1),(501,1),(540,1)}
       361:{1,2,4,5}:{(308,1),(309,1),(403,1),(407,1),(481,1)}
       362:{1,2,5,6}:{(309,1),(310,1),(312,1),(329,1),(404,1),(409,1),(439,1)}
       363:{1,2,4,6,7}:{(310,1),(311,1),(313,1),(320,1),(330,1),(405,1),(409,1),(444,1),(483,1),(507,1),(541,1)}
       364:{1,4,5,6}:{(312,1),(314,1),(322,1),(410,1),(411,1)}
       365:{1,5,7}:{(312,1),(313,1),(315,1)}
       366:{3,5,6}:{(314,1),(324,1),(412,1)}
       367:{2,4,5,7}:{(314,1),(315,1),(316,1),(325,1),(411,1),(412,1),(489,1)}
       368:{2,3,4,7}:{(317,1),(406,1),(414,1),(415,1),(532,1),(551,1)}
       369:{1,3,5,7}:{(317,1),(318,1),(407,1),(415,1),(416,1)}
       370:{1,2,4,6}:{(318,1),(319,1),(322,1),(416,1),(419,1)}
       371:{1,2,5,6,7}:{(319,1),(320,1),(323,1),(335,1),(409,1),(417,1),(430,1),(489,1)}
       372:{2,4,5,7}:{(321,1),(415,1),(418,1),(419,1),(481,1),(489,1),(532,1)}
       373:{1,3,4,6}:{(321,1),(322,1),(324,1),(410,1),(416,1),(419,1)}
       374:{1,4,6,7}:{(322,1),(323,1),(325,1),(411,1),(483,1)}
       375:{3,4,6,7}:{(324,1),(325,1),(412,1),(428,1),(496,1)}
       376:{2,4,5}:{(326,1),(339,1),(403,1),(421,1),(422,1)}
       377:{2,3,5,6}:{(326,1),(327,1),(329,1),(340,1),(404,1),(422,1),(423,1),(424,1)}
       378:{2,3,6,7}:{(327,1),(328,1),(330,1),(341,1),(405,1),(423,1),(428,1),(551,1)}
       379:{2,4,5,6}:{(329,1),(331,1),(422,1),(424,1),(425,1)}
       380:{2,5,7}:{(329,1),(330,1),(332,1)}
       381:{1,3,4,5,6}:{(331,1),(333,1),(346,1),(410,1),(424,1),(426,1),(427,1),(433,1),(482,1),(497,1)}
       382:{1,4,5,7}:{(331,1),(332,1),(334,1),(336,1),(425,1),(434,1),(483,1)}
       383:{3,4,5,7}:{(333,1),(334,1),(337,1),(348,1),(412,1),(496,1)}
       384:{2,4,6,7}:{(335,1),(336,1),(425,1),(428,1)}
       385:{1,3,4,6,7}:{(336,1),(337,1),(338,1),(427,1),(428,1),(429,1),(500,1)}
       386:{2,5,6,7}:{(338,1),(429,1),(430,1),(440,1),(489,1)}
       387:{1,3,4,5}:{(339,1),(343,1),(421,1),(432,1),(433,1)}
       388:{1,4,6}:{(339,1),(340,1),(422,1),(434,1)}
       389:{1,3,5,7}:{(340,1),(341,1),(345,1),(423,1),(434,1)}
       390:{1,2,3,6}:{(349,1),(431,1),(435,1),(540,1)}
       391:{1,3,4,6}:{(342,1),(350,1),(435,1),(436,1),(442,1),(501,1),(503,1),(540,1)}
       392:{2,3,5}:{(342,1),(343,1),(432,1),(436,1)}
       393:{1,3,5,6}:{(343,1),(344,1),(352,1),(424,1),(433,1),(437,1),(438,1),(549,1)}
       394:{1,2,4,5,7}:{(344,1),(345,1),(347,1),(353,1),(425,1),(434,1),(438,1),(440,1),(499,1),(504,1),(539,1),(550,1)}
       395:{2,5,6}:{(346,1),(355,1),(439,1),(440,1)}
       396:{1,3,5,7}:{(346,1),(347,1),(348,1),(356,1),(440,1)}
       397:{1,2,4,7}:{(349,1),(350,1),(435,1),(441,1)}
       398:{1,3,5,7}:{(350,1),(351,1),(354,1),(436,1),(441,1),(442,1)}
       399:{2,3,6}:{(351,1),(352,1),(355,1),(442,1)}
       400:{1,3,6,7}:{(352,1),(353,1),(428,1),(438,1),(443,1)}
       401:{1,4,6}:{(354,1),(355,1),(439,1),(442,1)}
       402:{2,4,6,7}:{(355,1),(356,1),(440,1),(443,1),(444,1),(504,1)}
       403:{1,4,5}:{(357,1),(376,1),(446,1)}
       404:{1,3,5,6}:{(357,1),(358,1),(362,1),(377,1),(446,1),(447,1)}
       405:{1,3,6,7}:{(358,1),(359,1),(363,1),(378,1),(447,1),(548,1)}
       406:{2,3,4,6}:{(360,1),(368,1),(449,1),(450,1),(457,1),(510,1),(518,1),(546,1)}
       407:{1,3,5}:{(360,1),(361,1),(450,1)}
       408:{1,2,4,5,6}:{(361,1),(362,1),(364,1),(370,1),(379,1),(446,1),(451,1),(452,1),(453,1),(466,1),(510,1),(522,1),(526,1)}
       409:{1,2,5,7}:{(362,1),(363,1),(365,1),(380,1),(447,1),(477,1)}
       410:{1,3,5,6}:{(364,1),(366,1),(373,1),(453,1),(454,1)}
       411:{1,4,5,7}:{(364,1),(365,1),(367,1),(374,1),(454,1)}
       412:{3,5,7}:{(366,1),(367,1),(375,1)}
       413:{1,2,3,7}:{(448,1),(455,1),(552,1)}
       414:{1,3,4,7}:{(368,1),(449,1),(455,1),(456,1),(544,1),(552,1)}
       415:{2,3,5,7}:{(368,1),(369,1),(372,1),(450,1),(456,1),(457,1)}
       416:{1,3,6}:{(369,1),(370,1),(457,1)}
       417:{1,2,4,6,7}:{(370,1),(371,1),(374,1),(384,1),(452,1),(458,1),(460,1),(469,1),(524,1)}
       418:{1,4,5,7}:{(372,1),(456,1),(459,1),(509,1),(515,1),(544,1)}
       419:{2,4,6}:{(372,1),(373,1),(453,1),(457,1),(459,1)}
       420:{1,3,4,6,7}:{(373,1),(374,1),(375,1),(454,1),(458,1),(460,1),(511,1)}
       421:{3,4,5}:{(376,1),(462,1)}
       422:{2,4,6}:{(376,1),(377,1),(388,1),(446,1),(462,1),(463,1)}
       423:{2,3,5,7}:{(377,1),(378,1),(380,1),(389,1),(447,1),(463,1),(465,1)}
       424:{3,5,6}:{(379,1),(462,1),(465,1)}
       425:{2,4,5,7}:{(379,1),(380,1),(382,1),(384,1),(463,1),(465,1)}
       426:{2,4,5,6}:{(381,1),(395,1),(453,1),(464,1),(466,1),(467,1),(472,1),(510,1),(522,1)}
       427:{1,3,4,5,7}:{(381,1),(382,1),(383,1),(385,1),(396,1),(454,1),(465,1),(467,1),(473,1),(511,1),(523,1)}
       428:{3,6,7}:{(384,1),(465,1)}
       429:{2,4,6,7}:{(385,1),(386,1),(467,1),(468,1),(469,1),(524,1)}
       430:{1,5,6,7}:{(386,1),(469,1),(477,1),(515,1)}
       431:{1,2,3,5}:{(390,1),(470,1),(474,1),(525,1)}
       432:{2,4,5}:{(387,1),(392,1),(471,1),(472,1)}
       433:{1,3,4,6}:{(387,1),(388,1),(393,1),(462,1),(472,1),(473,1)}
       434:{1,4,7}:{(388,1),(389,1),(463,1)}
       435:{1,2,4,6}:{(390,1),(391,1),(397,1),(470,1),(474,1),(478,1)}
       436:{1,3,5}:{(391,1),(392,1),(471,1),(474,1)}
       437:{2,3,5,6}:{(392,1),(393,1),(395,1),(399,1),(472,1),(475,1),(476,1),(522,1),(546,1)}
       438:{1,3,5,7}:{(393,1),(394,1),(400,1),(465,1),(473,1),(476,1),(552,1)}
       439:{1,5,6}:{(395,1),(401,1),(477,1)}
       440:{2,5,7}:{(395,1),(396,1),(402,1),(477,1)}
       441:{1,2,5,7}:{(397,1),(398,1),(474,1),(478,1)}
       442:{1,3,6}:{(398,1),(399,1),(401,1),(478,1)}
       443:{2,3,6,7}:{(399,1),(400,1),(402,1),(476,1),(479,1),(524,1)}
       444:{1,4,6,7}:{(401,1),(402,1),(477,1),(479,1),(527,1)}
       445:{1,3,4,5}:{(403,1),(407,1),(421,1),(481,1),(482,1)}
       446:{1,4,6}:{(403,1),(404,1),(422,1),(483,1)}
       447:{1,3,5,7}:{(404,1),(405,1),(409,1),(423,1),(483,1)}
       448:{1,2,3,6}:{(413,1),(480,1),(484,1),(549,1)}
       449:{1,3,4,6}:{(406,1),(414,1),(484,1),(485,1),(491,1),(529,1),(531,1),(549,1)}
       450:{2,3,5}:{(406,1),(407,1),(481,1),(485,1)}
       451:{1,3,5,6}:{(407,1),(408,1),(416,1),(424,1),(482,1),(486,1),(487,1),(540,1)}
       452:{1,2,4,5,7}:{(408,1),(409,1),(411,1),(417,1),(425,1),(483,1),(487,1),(489,1),(499,1),(532,1),(539,1),(541,1)}
       453:{2,5,6}:{(410,1),(419,1),(488,1),(489,1)}
       454:{1,3,5,7}:{(410,1),(411,1),(412,1),(420,1),(489,1)}
       455:{1,2,4,7}:{(413,1),(414,1),(484,1),(490,1)}
       456:{1,3,5,7}:{(414,1),(415,1),(418,1),(485,1),(490,1),(491,1)}
       457:{2,3,6}:{(415,1),(416,1),(419,1),(491,1)}
       458:{1,3,6,7}:{(416,1),(417,1),(428,1),(487,1),(492,1)}
       459:{1,4,6}:{(418,1),(419,1),(488,1),(491,1)}
       460:{2,4,6,7}:{(419,1),(420,1),(489,1),(492,1),(493,1),(532,1)}
       461:{2,3,4,5}:{(421,1),(432,1),(481,1),(494,1),(495,1),(536,1)}
       462:{3,4,6}:{(421,1),(422,1),(424,1),(496,1)}
       463:{2,4,7}:{(422,1),(423,1),(434,1),(483,1),(496,1)}
       464:{2,3,5,6}:{(424,1),(426,1),(495,1),(497,1),(498,1)}
       465:{3,5,7}:{(424,1),(425,1),(428,1),(496,1)}
       466:{1,4,5,6}:{(426,1),(439,1),(488,1),(497,1),(499,1),(503,1),(531,1)}
       467:{2,4,5,7}:{(426,1),(427,1),(429,1),(440,1),(489,1),(498,1),(499,1),(504,1),(532,1),(539,1)}
       468:{2,3,6,7}:{(428,1),(429,1),(498,1),(500,1)}
       469:{1,4,6,7}:{(429,1),(430,1),(499,1),(500,1)}
       470:{1,2,4}:{(431,1),(501,1)}
       471:{1,4,5}:{(432,1),(436,1),(503,1)}
       472:{2,4,6}:{(432,1),(433,1),(437,1),(503,1),(504,1)}
       473:{1,3,4,7}:{(433,1),(434,1),(438,1),(496,1),(504,1)}
       474:{1,2,5}:{(435,1),(436,1)}
       475:{1,3,5,6}:{(436,1),(437,1),(439,1),(442,1),(503,1),(505,1),(506,1),(540,1)}
       476:{2,3,5,7}:{(437,1),(438,1),(440,1),(443,1),(504,1),(506,1),(539,1),(551,1)}
       477:{1,5,7}:{(439,1),(440,1),(444,1)}
       478:{1,2,6}:{(441,1),(442,1)}
       479:{1,3,6,7}:{(442,1),(443,1),(444,1),(506,1),(507,1)}
       480:{1,2,3,5}:{(448,1),(508,1),(512,1),(542,1)}
       481:{2,4,5}:{(445,1),(450,1),(509,1),(510,1)}
       482:{1,3,4,6}:{(445,1),(446,1),(451,1),(462,1),(510,1),(511,1)}
       483:{1,4,7}:{(446,1),(447,1),(463,1)}
       484:{1,2,4,6}:{(448,1),(449,1),(455,1),(508,1),(512,1),(516,1)}
       485:{1,3,5}:{(449,1),(450,1),(509,1),(512,1)}
       486:{2,3,5,6}:{(450,1),(451,1),(453,1),(457,1),(510,1),(513,1),(514,1),(522,1),(546,1)}
       487:{1,3,5,7}:{(451,1),(452,1),(458,1),(465,1),(511,1),(514,1),(548,1)}
       488:{1,5,6}:{(453,1),(459,1),(515,1)}
       489:{2,5,7}:{(453,1),(454,1),(460,1),(515,1)}
       490:{1,2,5,7}:{(455,1),(456,1),(512,1),(516,1)}
       491:{1,3,6}:{(456,1),(457,1),(459,1),(516,1)}
       492:{2,3,6,7}:{(457,1),(458,1),(460,1),(514,1),(517,1),(524,1)}
       493:{1,4,6,7}:{(459,1),(460,1),(515,1),(517,1),(544,1)}
       494:{1,3,4,5}:{(461,1),(471,1),(509,1),(519,1),(520,1),(525,1),(542,1)}
       495:{2,3,4,6}:{(461,1),(462,1),(464,1),(472,1),(510,1),(520,1),(521,1),(546,1)}
       496:{3,4,7}:{(462,1),(463,1),(465,1)}
       497:{1,3,5,6}:{(464,1),(466,1),(520,1),(522,1),(523,1)}
       498:{2,3,5,7}:{(464,1),(465,1),(467,1),(468,1),(521,1),(523,1)}
       499:{1,4,5,7}:{(466,1),(467,1),(469,1),(477,1),(515,1),(523,1),(527,1),(544,1)}
       500:{1,3,6,7}:{(468,1),(469,1),(523,1),(524,1)}
       501:{1,3,4}:{(470,1),(518,1),(525,1)}
       502:{1,2,4,5}:{(470,1),(471,1),(474,1),(519,1),(525,1),(526,1)}
       503:{1,4,6}:{(471,1),(472,1),(475,1),(527,1)}
       504:{2,4,7}:{(472,1),(473,1),(476,1),(527,1)}
       505:{1,2,5,6}:{(474,1),(475,1),(478,1),(522,1),(526,1),(528,1)}
       506:{1,3,5,7}:{(475,1),(476,1),(477,1),(479,1),(527,1),(528,1),(548,1)}
       507:{1,2,6,7}:{(478,1),(479,1),(524,1),(528,1)}
       508:{1,2,4}:{(480,1),(529,1)}
       509:{1,4,5}:{(481,1),(485,1),(531,1)}
       510:{2,4,6}:{(481,1),(482,1),(486,1),(531,1),(532,1)}
       511:{1,3,4,7}:{(482,1),(483,1),(487,1),(496,1),(532,1)}
       512:{1,2,5}:{(484,1),(485,1)}
       513:{1,3,5,6}:{(485,1),(486,1),(488,1),(491,1),(531,1),(533,1),(534,1),(549,1)}
       514:{2,3,5,7}:{(486,1),(487,1),(489,1),(492,1),(532,1),(534,1),(539,1),(551,1)}
       515:{1,5,7}:{(488,1),(489,1),(493,1)}
       516:{1,2,6}:{(490,1),(491,1)}
       517:{1,3,6,7}:{(491,1),(492,1),(493,1),(534,1),(535,1)}
       518:{2,3,4}:{(501,1),(529,1),(536,1)}
       519:{2,4,5}:{(494,1),(536,1),(537,1)}
       520:{1,3,4,6}:{(494,1),(495,1),(497,1),(503,1),(531,1),(537,1),(538,1),(540,1),(549,1)}
       521:{2,3,4,7}:{(495,1),(496,1),(498,1),(504,1),(532,1),(538,1),(551,1)}
       522:{2,5,6}:{(497,1),(537,1),(539,1)}
       523:{1,3,5,7}:{(497,1),(498,1),(499,1),(500,1),(538,1),(539,1)}
       524:{2,6,7}:{(500,1),(539,1)}
       525:{1,3,5}:{(501,1),(502,1),(536,1),(540,1)}
       526:{1,2,4,6}:{(502,1),(503,1),(505,1),(537,1),(540,1),(541,1)}
       527:{1,4,7}:{(503,1),(504,1),(506,1)}
       528:{1,2,5,7}:{(505,1),(506,1),(507,1),(539,1),(541,1)}
       529:{1,3,4}:{(508,1),(518,1),(542,1)}
       530:{1,2,4,5}:{(508,1),(509,1),(512,1),(519,1),(542,1),(543,1)}
       531:{1,4,6}:{(509,1),(510,1),(513,1),(544,1)}
       532:{2,4,7}:{(510,1),(511,1),(514,1),(544,1)}
       533:{1,2,5,6}:{(512,1),(513,1),(516,1),(522,1),(543,1),(545,1)}
       534:{1,3,5,7}:{(513,1),(514,1),(515,1),(517,1),(544,1),(545,1),(552,1)}
       535:{1,2,6,7}:{(516,1),(517,1),(524,1),(545,1)}
       536:{2,3,5}:{(518,1),(519,1),(525,1),(542,1),(546,1)}
       537:{2,4,6}:{(519,1),(520,1),(522,1),(546,1),(547,1)}
       538:{1,3,4,7}:{(520,1),(521,1),(523,1),(527,1),(544,1),(547,1),(548,1),(552,1)}
       539:{2,5,7}:{(522,1),(523,1),(524,1),(547,1)}
       540:{1,3,6}:{(525,1),(526,1),(546,1),(548,1)}
       541:{1,2,4,7}:{(526,1),(527,1),(528,1),(547,1),(548,1)}
       542:{1,3,5}:{(529,1),(530,1),(536,1),(549,1)}
       543:{1,2,4,6}:{(530,1),(531,1),(533,1),(537,1),(549,1),(550,1)}
       544:{1,4,7}:{(531,1),(532,1),(534,1)}
       545:{1,2,5,7}:{(533,1),(534,1),(535,1),(539,1),(550,1)}
       546:{2,3,6}:{(536,1),(537,1),(540,1),(549,1),(551,1)}
       547:{2,4,7}:{(537,1),(538,1),(539,1),(551,1)}
       548:{1,3,7}:{(540,1),(541,1),(551,1)}
       549:{1,3,6}:{(542,1),(543,1),(546,1),(552,1)}
       550:{1,2,4,7}:{(543,1),(544,1),(545,1),(547,1),(552,1)}
       551:{2,3,7}:{(546,1),(547,1),(548,1),(552,1)}
       552:{1,3,7}:{(549,1),(550,1),(551,1)}

2484 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2485 :   0:{1,2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(196,1),(201,1),(290,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(32,1),(37,1),(87,1),(165,1),(170,1),(172,1),(179,1),(241,1),(267,1)}
         2:{1,2,3,6}:{(0,1),(10,1),(42,1),(331,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(248,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(50,1),(52,1),(136,1),(141,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(22,1),(50,1),(61,1),(68,1),(113,1),(126,1),(144,1),(204,1),(217,1),(219,1),(227,1),(287,1),(312,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(17,1),(57,1),(127,1),(213,1),(228,1),(288,1)}
         7:{1,2,3,6,7}:{(2,1),(19,1),(20,1),(70,1),(139,1),(196,1),(232,1),(283,1),(363,1),(398,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(21,1),(22,1),(144,1),(293,1)}
         9:{1,2,3,5,6}:{(2,1),(19,1),(23,1),(24,1),(67,1),(69,1),(72,1),(139,1),(147,1),(201,1),(283,1),(297,1),(357,1),(364,1),(396,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(21,1),(24,1)}
        11:{1,2,4,5,7}:{(3,1),(15,1),(22,1),(24,1),(25,1),(68,1),(74,1),(144,1),(287,1),(290,1),(294,1),(365,1)}
        12:{1,2,3,6}:{(4,1),(29,1),(79,1),(277,1)}
        13:{1,2,4,7}:{(4,1),(27,1),(29,1),(186,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(172,1),(264,1)}
        15:{2,4,5,7}:{(5,1),(32,1),(33,1),(87,1),(91,1),(172,1),(265,1),(349,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(34,1),(42,1),(79,1),(102,1),(156,1),(171,1),(275,1),(329,1)}
        17:{2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(257,1),(271,1),(325,1)}
        18:{2,3,4,6,7}:{(6,1),(35,1),(37,1),(86,1),(89,1),(172,1),(261,1),(262,1),(267,1),(276,1),(330,1)}
        19:{1,2,3,5,7}:{(7,1),(9,1),(39,1),(40,1),(98,1),(103,1),(192,1),(336,1),(385,1),(407,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(99,1),(244,1),(276,1),(324,1),(331,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(31,1),(41,1),(42,1),(102,1)}
        22:{1,3,5,7}:{(8,1),(11,1),(32,1),(41,1),(42,1),(333,1),(385,1)}
        23:{1,2,4,6}:{(9,1),(39,1),(43,1),(44,1),(102,1),(188,1),(248,1),(406,1)}
        24:{1,2,5}:{(10,1),(41,1)}
        25:{1,2,4,6}:{(11,1),(33,1),(42,1),(45,1),(102,1),(329,1),(331,1)}
        26:{1,2,3,6,7}:{(12,1),(47,1),(48,1),(115,1),(136,1),(199,1),(223,1),(292,1),(321,1),(379,1)}
        27:{1,3,4,7}:{(13,1),(14,1),(49,1),(50,1),(204,1),(233,1)}
        28:{1,2,3,5,6}:{(12,1),(47,1),(51,1),(52,1),(112,1),(114,1),(117,1),(141,1),(199,1),(207,1),(223,1),(237,1),(315,1),(322,1),(377,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(49,1),(52,1)}
        30:{1,2,4,5,7}:{(13,1),(15,1),(50,1),(52,1),(53,1),(113,1),(119,1),(204,1),(227,1),(230,1),(234,1),(323,1)}
        31:{2,3,4,6}:{(14,1),(21,1),(49,1),(56,1),(57,1),(127,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(22,1),(50,1),(56,1),(57,1),(310,1),(375,1)}
        33:{2,4,6}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,5,6}:{(16,1),(17,1),(58,1),(60,1),(61,1),(129,1),(316,1),(358,1)}
        35:{1,3,4,6,7}:{(16,1),(18,1),(59,1),(61,1),(70,1),(115,1),(124,1),(144,1),(204,1),(215,1),(219,1),(309,1),(312,1),(320,1),(362,1)}
        36:{2,4,5,6}:{(17,1),(60,1),(62,1),(63,1),(127,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(61,1),(63,1),(304,1),(317,1),(359,1)}
        38:{1,3,4,6,7}:{(20,1),(21,1),(54,1),(64,1),(65,1),(70,1),(134,1),(139,1),(144,1),(197,1),(291,1),(356,1),(362,1),(398,1),(411,1)}
        39:{1,2,4,7}:{(19,1),(23,1),(65,1),(144,1),(236,1),(411,1)}
        40:{1,2,5,7}:{(20,1),(24,1),(64,1),(67,1),(317,1),(357,1)}
        41:{1,3,5}:{(21,1),(24,1),(56,1),(68,1)}
        42:{1,3,6}:{(22,1),(25,1),(57,1)}
        43:{1,3,4,6}:{(23,1),(65,1),(71,1),(72,1),(139,1),(293,1),(364,1)}
        44:{1,2,4,5}:{(23,1),(24,1),(68,1),(72,1),(142,1),(357,1),(395,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(58,1),(69,1),(74,1),(358,1)}
        46:{1,2,4,6,7}:{(25,1),(59,1),(70,1),(74,1),(144,1),(362,1),(363,1),(365,1)}
        47:{1,2,3,5,7}:{(26,1),(28,1),(76,1),(77,1),(152,1),(157,1),(254,1),(282,1),(355,1),(394,1)}
        48:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(153,1),(182,1),(270,1),(277,1),(330,1)}
        49:{1,3,4,6}:{(27,1),(29,1),(31,1),(78,1),(79,1),(156,1)}
        50:{1,3,5,7}:{(27,1),(30,1),(32,1),(78,1),(79,1),(279,1),(355,1)}
        51:{1,2,4,6}:{(28,1),(76,1),(80,1),(81,1),(156,1),(186,1),(250,1),(393,1)}
        52:{1,2,5}:{(29,1),(78,1)}
        53:{1,2,4,6}:{(30,1),(33,1),(79,1),(82,1),(156,1),(275,1),(277,1)}
        54:{2,3,4,6,7}:{(31,1),(38,1),(75,1),(84,1),(89,1),(97,1),(151,1),(166,1),(172,1),(184,1),(246,1),(261,1),(276,1),(330,1),(341,1),(392,1),(410,1)}
        55:{2,3,5,6,7}:{(37,1),(85,1),(86,1),(164,1),(256,1),(262,1)}
        56:{2,3,5}:{(31,1),(41,1),(78,1),(87,1)}
        57:{2,3,6}:{(32,1),(33,1),(42,1),(79,1)}
        58:{2,5,6}:{(33,1),(34,1),(91,1)}
        59:{2,4,6,7}:{(33,1),(35,1),(89,1),(91,1),(172,1),(347,1),(349,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(90,1),(93,1),(102,1),(156,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(37,1),(91,1),(93,1),(174,1),(352,1),(382,1)}
        62:{3,4,5,6}:{(36,1),(94,1),(171,1),(257,1)}
        63:{2,4,5,7}:{(36,1),(37,1),(86,1),(93,1),(94,1),(172,1)}
        64:{1,3,5,7}:{(38,1),(40,1),(41,1),(84,1),(95,1),(96,1),(380,1),(382,1)}
        65:{1,3,4,7}:{(39,1),(43,1),(97,1),(98,1),(385,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(44,1),(95,1),(98,1),(99,1),(179,1)}
        67:{1,2,5,6}:{(40,1),(96,1),(99,1),(271,1),(331,1)}
        68:{1,4,5}:{(41,1),(87,1),(102,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(45,1),(88,1),(102,1),(103,1)}
        70:{1,3,6,7}:{(42,1),(46,1),(89,1),(103,1),(385,1)}
        71:{2,3,4,6}:{(43,1),(97,1),(105,1),(106,1),(184,1),(188,1),(264,1),(348,1)}
        72:{1,3,5}:{(43,1),(44,1),(106,1)}
        73:{1,2,4,5,6}:{(44,1),(45,1),(90,1),(99,1),(102,1),(107,1),(108,1),(175,1),(177,1),(188,1),(268,1),(271,1),(334,1),(381,1),(386,1),(406,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(91,1),(103,1),(382,1)}
        75:{1,3,4,6,7}:{(48,1),(49,1),(54,1),(109,1),(110,1),(115,1),(137,1),(194,1),(199,1),(204,1),(231,1),(314,1),(320,1),(379,1),(405,1)}
        76:{1,2,4,7}:{(47,1),(51,1),(110,1),(204,1),(296,1),(405,1)}
        77:{1,2,5,7}:{(48,1),(52,1),(109,1),(112,1),(315,1),(359,1)}
        78:{1,3,5}:{(49,1),(52,1),(56,1),(113,1)}
        79:{1,3,6}:{(50,1),(53,1),(57,1)}
        80:{1,3,4,6}:{(51,1),(110,1),(116,1),(117,1),(199,1),(233,1),(322,1)}
        81:{1,2,4,5}:{(51,1),(52,1),(113,1),(117,1),(202,1),(315,1),(376,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(58,1),(114,1),(119,1),(316,1)}
        83:{1,2,4,6,7}:{(53,1),(59,1),(115,1),(119,1),(204,1),(320,1),(321,1),(323,1)}
        84:{2,3,5,7}:{(54,1),(56,1),(64,1),(109,1),(121,1),(122,1),(304,1),(317,1),(359,1),(370,1)}
        85:{1,3,5,6,7}:{(55,1),(61,1),(123,1),(124,1),(215,1),(302,1),(309,1)}
        86:{2,4,6,7}:{(55,1),(63,1),(124,1),(125,1)}
        87:{2,4,5}:{(56,1),(68,1),(113,1),(126,1),(127,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(58,1),(69,1),(114,1),(127,1),(128,1),(129,1)}
        89:{2,3,6,7}:{(57,1),(59,1),(70,1),(115,1),(128,1),(215,1),(375,1)}
        90:{2,4,5,6}:{(58,1),(60,1),(127,1),(129,1),(130,1)}
        91:{2,5,7}:{(58,1),(59,1),(61,1)}
        92:{1,3,4,5,6}:{(60,1),(62,1),(129,1),(131,1),(132,1),(143,1),(203,1),(220,1),(224,1),(284,1),(299,1),(366,1),(400,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(63,1),(124,1),(130,1),(144,1),(204,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(125,1),(219,1),(304,1)}
        95:{1,4,5,7}:{(64,1),(68,1),(121,1),(134,1),(144,1),(395,1),(411,1)}
        96:{1,3,5,6}:{(64,1),(67,1),(122,1),(134,1),(139,1),(291,1),(358,1)}
        97:{2,3,4,7}:{(65,1),(71,1),(137,1),(138,1),(236,1),(375,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(72,1),(138,1),(139,1)}
        99:{1,2,4,6}:{(66,1),(67,1),(134,1),(139,1),(228,1)}
       100:{1,2,5,6,7}:{(67,1),(74,1),(123,1),(135,1),(140,1),(302,1),(317,1),(363,1),(369,1),(397,1)}
       101:{1,3,4,5}:{(68,1),(72,1),(126,1),(142,1),(143,1),(395,1),(399,1)}
       102:{1,4,6}:{(68,1),(69,1),(127,1),(144,1)}
       103:{1,3,5,7}:{(69,1),(70,1),(74,1),(128,1),(144,1)}
       104:{1,2,3,6}:{(136,1),(141,1),(145,1),(322,1)}
       105:{1,3,4,6}:{(71,1),(137,1),(145,1),(146,1),(231,1),(233,1),(235,1),(322,1)}
       106:{2,3,5}:{(71,1),(72,1),(142,1),(146,1)}
       107:{1,3,5,6}:{(72,1),(73,1),(129,1),(139,1),(143,1),(147,1),(148,1),(364,1),(400,1)}
       108:{1,2,4,5,7}:{(73,1),(74,1),(130,1),(140,1),(144,1),(148,1),(222,1),(225,1),(236,1),(313,1),(317,1),(365,1),(397,1),(401,1),(411,1)}
       109:{1,3,5,7}:{(75,1),(77,1),(78,1),(84,1),(149,1),(150,1),(350,1),(352,1)}
       110:{1,3,4,7}:{(76,1),(80,1),(151,1),(152,1),(355,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(81,1),(149,1),(152,1),(153,1),(241,1)}
       112:{1,2,5,6}:{(77,1),(150,1),(153,1),(277,1),(325,1)}
       113:{1,4,5}:{(78,1),(87,1),(156,1)}
       114:{1,3,5,6}:{(78,1),(79,1),(82,1),(88,1),(156,1),(157,1)}
       115:{1,3,6,7}:{(79,1),(83,1),(89,1),(157,1),(355,1)}
       116:{2,3,4,6}:{(80,1),(151,1),(159,1),(160,1),(246,1),(250,1),(264,1),(348,1)}
       117:{1,3,5}:{(80,1),(81,1),(160,1)}
       118:{1,2,4,5,6}:{(81,1),(82,1),(90,1),(153,1),(156,1),(161,1),(162,1),(175,1),(239,1),(250,1),(268,1),(280,1),(325,1),(351,1),(386,1),(393,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(91,1),(157,1),(352,1)}
       120:{2,4,5,6,7}:{(86,1),(163,1),(164,1),(256,1),(258,1),(388,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(95,1),(149,1),(165,1),(166,1),(172,1),(389,1),(410,1)}
       122:{2,3,5,6}:{(84,1),(96,1),(150,1),(166,1),(184,1),(246,1),(257,1),(271,1),(325,1)}
       123:{2,5,6,7}:{(85,1),(91,1),(168,1),(347,1)}
       124:{1,4,6,7}:{(85,1),(86,1),(93,1),(168,1)}
       125:{3,4,6,7}:{(86,1),(94,1),(164,1)}
       126:{3,4,5}:{(87,1),(171,1)}
       127:{2,4,6}:{(87,1),(88,1),(102,1),(156,1),(171,1),(172,1)}
       128:{2,3,5,7}:{(88,1),(89,1),(91,1),(103,1),(157,1),(172,1),(174,1)}
       129:{3,5,6}:{(90,1),(171,1),(174,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(93,1),(168,1),(172,1),(174,1)}
       131:{2,4,5,6}:{(92,1),(173,1),(175,1),(176,1),(188,1),(250,1),(268,1),(271,1),(325,1)}
       132:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(169,1),(174,1),(176,1),(189,1),(251,1),(269,1),(272,1),(326,1),(338,1),(387,1),(409,1)}
       133:{1,3,4,5,7}:{(95,1),(98,1),(101,1),(165,1),(179,1),(180,1),(189,1),(272,1)}
       134:{1,4,6}:{(95,1),(96,1),(166,1)}
       135:{1,3,5,6,7}:{(96,1),(100,1),(103,1),(167,1),(181,1),(185,1),(272,1),(332,1),(382,1),(407,1)}
       136:{1,2,3,7}:{(104,1),(182,1),(355,1)}
       137:{1,3,4,7}:{(97,1),(105,1),(182,1),(183,1),(281,1),(355,1)}
       138:{2,3,5,7}:{(97,1),(98,1),(106,1),(179,1),(183,1),(184,1)}
       139:{1,3,6}:{(98,1),(99,1),(184,1)}
       140:{1,2,4,6,7}:{(99,1),(100,1),(108,1),(168,1),(181,1),(185,1),(263,1),(276,1),(347,1),(388,1)}
       141:{1,2,3,5}:{(104,1),(186,1),(190,1),(279,1)}
       142:{2,4,5}:{(101,1),(106,1),(187,1),(188,1)}
       143:{1,3,4,6}:{(101,1),(102,1),(107,1),(171,1),(188,1),(189,1),(406,1),(408,1)}
       144:{1,4,7}:{(102,1),(103,1),(172,1)}
       145:{1,2,4,6}:{(104,1),(105,1),(182,1),(186,1),(190,1),(277,1)}
       146:{1,3,5}:{(105,1),(106,1),(187,1),(190,1)}
       147:{2,3,5,6}:{(106,1),(107,1),(184,1),(188,1),(191,1),(192,1),(268,1),(271,1),(348,1)}
       148:{1,3,5,7}:{(107,1),(108,1),(174,1),(185,1),(189,1),(192,1),(385,1),(409,1)}
       149:{1,4,5,7}:{(109,1),(113,1),(121,1),(194,1),(204,1),(376,1),(405,1)}
       150:{1,3,5,6}:{(109,1),(112,1),(122,1),(194,1),(199,1),(231,1),(316,1)}
       151:{2,3,4,7}:{(110,1),(116,1),(197,1),(198,1),(296,1),(375,1)}
       152:{1,3,5,7}:{(110,1),(111,1),(117,1),(198,1),(199,1)}
       153:{1,2,4,6}:{(111,1),(112,1),(194,1),(199,1),(288,1)}
       154:{1,2,5,6,7}:{(112,1),(119,1),(123,1),(195,1),(200,1),(302,1),(321,1),(359,1),(369,1),(378,1)}
       155:{1,3,4,5}:{(113,1),(117,1),(126,1),(202,1),(203,1),(376,1),(399,1)}
       156:{1,4,6}:{(113,1),(114,1),(127,1),(204,1)}
       157:{1,3,5,7}:{(114,1),(115,1),(119,1),(128,1),(204,1)}
       158:{1,2,3,6}:{(196,1),(201,1),(205,1),(364,1)}
       159:{1,3,4,6}:{(116,1),(197,1),(205,1),(206,1),(291,1),(293,1),(295,1),(364,1)}
       160:{2,3,5}:{(116,1),(117,1),(202,1),(206,1)}
       161:{1,3,5,6}:{(117,1),(118,1),(129,1),(199,1),(203,1),(207,1),(208,1),(322,1),(400,1)}
       162:{1,2,4,5,7}:{(118,1),(119,1),(130,1),(200,1),(204,1),(208,1),(222,1),(285,1),(296,1),(313,1),(323,1),(359,1),(378,1),(401,1),(405,1)}
       163:{1,4,5,6,7}:{(120,1),(124,1),(209,1),(210,1),(225,1),(285,1),(302,1),(368,1)}
       164:{3,5,6,7}:{(120,1),(125,1),(304,1),(402,1)}
       165:{3,4,5,7}:{(121,1),(126,1),(213,1),(219,1),(304,1),(399,1),(412,1)}
       166:{2,4,6}:{(121,1),(122,1),(134,1),(194,1),(213,1)}
       167:{2,3,5,6,7}:{(122,1),(123,1),(128,1),(135,1),(195,1),(214,1),(215,1),(232,1),(292,1),(304,1),(317,1),(359,1),(369,1),(402,1),(404,1)}
       168:{2,4,6,7}:{(123,1),(124,1),(130,1),(215,1)}
       169:{1,3,4,6,7}:{(124,1),(125,1),(132,1),(210,1),(215,1),(216,1),(300,1),(309,1),(368,1),(402,1)}
       170:{2,3,4,5}:{(126,1),(142,1),(202,1),(217,1),(218,1),(310,1),(399,1)}
       171:{3,4,6}:{(126,1),(127,1),(129,1),(219,1)}
       172:{2,4,7}:{(127,1),(128,1),(144,1),(204,1),(219,1)}
       173:{2,3,5,6}:{(129,1),(131,1),(218,1),(220,1),(221,1),(400,1)}
       174:{3,5,7}:{(129,1),(130,1),(215,1),(219,1)}
       175:{1,4,5,6}:{(131,1),(220,1),(222,1),(235,1),(295,1),(316,1),(358,1)}
       176:{2,4,5,7}:{(131,1),(132,1),(216,1),(221,1),(222,1),(236,1),(296,1),(313,1),(317,1),(359,1)}
       177:{1,4,5,6}:{(134,1),(211,1),(224,1),(225,1),(358,1)}
       178:{1,2,3,5,7}:{(136,1),(141,1),(223,1),(226,1),(230,1),(315,1),(318,1)}
       179:{2,4,5,7}:{(133,1),(138,1),(142,1),(227,1),(228,1),(236,1),(317,1)}
       180:{1,3,4,6}:{(133,1),(134,1),(139,1),(213,1),(224,1),(228,1)}
       181:{1,4,6,7}:{(134,1),(135,1),(144,1),(214,1),(225,1),(411,1)}
       182:{1,2,4,7}:{(136,1),(137,1),(145,1),(230,1)}
       183:{1,3,5,7}:{(137,1),(138,1),(146,1),(227,1),(230,1),(231,1)}
       184:{2,3,6}:{(138,1),(139,1),(228,1),(231,1)}
       185:{1,3,6,7}:{(139,1),(140,1),(148,1),(215,1),(232,1),(402,1)}
       186:{1,2,4}:{(141,1),(233,1)}
       187:{1,4,5}:{(142,1),(146,1),(235,1)}
       188:{2,4,6}:{(142,1),(143,1),(147,1),(235,1),(236,1)}
       189:{1,3,4,7}:{(143,1),(144,1),(148,1),(219,1),(236,1),(411,1),(412,1)}
       190:{1,2,5}:{(145,1),(146,1)}
       191:{1,3,5,6}:{(146,1),(147,1),(231,1),(235,1),(237,1),(238,1),(316,1),(322,1)}
       192:{2,3,5,7}:{(147,1),(148,1),(232,1),(236,1),(238,1),(313,1),(317,1),(375,1)}
       193:{1,3,4,5,7}:{(149,1),(152,1),(155,1),(165,1),(241,1),(242,1),(251,1),(326,1)}
       194:{1,4,6}:{(149,1),(150,1),(166,1)}
       195:{1,3,5,6,7}:{(150,1),(154,1),(157,1),(167,1),(243,1),(247,1),(278,1),(326,1),(352,1),(394,1)}
       196:{1,2,3,7}:{(158,1),(244,1),(385,1)}
       197:{1,3,4,7}:{(151,1),(159,1),(244,1),(245,1),(335,1),(385,1)}
       198:{2,3,5,7}:{(151,1),(152,1),(160,1),(241,1),(245,1),(246,1)}
       199:{1,3,6}:{(152,1),(153,1),(246,1)}
       200:{1,2,4,6,7}:{(153,1),(154,1),(162,1),(168,1),(243,1),(247,1),(263,1),(330,1),(347,1),(388,1)}
       201:{1,2,3,5}:{(158,1),(248,1),(252,1),(333,1)}
       202:{2,4,5}:{(155,1),(160,1),(249,1),(250,1)}
       203:{1,3,4,6}:{(155,1),(156,1),(161,1),(171,1),(250,1),(251,1),(393,1),(408,1)}
       204:{1,4,7}:{(156,1),(157,1),(172,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(244,1),(248,1),(252,1),(331,1)}
       206:{1,3,5}:{(159,1),(160,1),(249,1),(252,1)}
       207:{2,3,5,6}:{(160,1),(161,1),(246,1),(250,1),(253,1),(254,1),(268,1),(325,1),(348,1)}
       208:{1,3,5,7}:{(161,1),(162,1),(174,1),(247,1),(251,1),(254,1),(355,1),(409,1)}
       209:{2,4,5,6,7}:{(163,1),(168,1),(255,1),(256,1),(258,1),(339,1)}
       210:{1,3,5,6,7}:{(163,1),(164,1),(169,1),(255,1),(256,1),(272,1),(326,1)}
       211:{2,4,5,6}:{(166,1),(177,1),(239,1),(257,1),(258,1),(271,1),(325,1)}
       212:{2,3,4,5,7}:{(165,1),(170,1),(179,1),(241,1),(259,1),(260,1),(267,1),(343,1),(344,1),(389,1),(410,1)}
       213:{3,4,6}:{(165,1),(166,1),(257,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(172,1),(181,1),(243,1),(258,1),(261,1),(410,1)}
       215:{3,6,7}:{(168,1),(174,1)}
       216:{2,4,6,7}:{(169,1),(176,1),(256,1),(262,1),(263,1),(347,1)}
       217:{1,3,4,5}:{(170,1),(187,1),(249,1),(265,1),(266,1),(279,1),(333,1)}
       218:{2,3,4,6}:{(170,1),(171,1),(173,1),(188,1),(250,1),(266,1),(267,1),(348,1),(408,1)}
       219:{3,4,7}:{(171,1),(172,1),(174,1)}
       220:{1,3,5,6}:{(173,1),(175,1),(266,1),(268,1),(269,1)}
       221:{2,3,5,7}:{(173,1),(174,1),(176,1),(262,1),(267,1),(269,1),(409,1)}
       222:{1,4,5,7}:{(175,1),(176,1),(263,1),(269,1),(281,1),(335,1),(352,1),(382,1)}
       223:{1,2,3,6}:{(178,1),(270,1),(277,1),(353,1)}
       224:{1,3,5,6}:{(177,1),(180,1),(257,1),(271,1),(272,1)}
       225:{1,4,5,7}:{(177,1),(181,1),(258,1),(272,1),(382,1)}
       226:{1,2,4,7}:{(178,1),(186,1),(270,1),(273,1)}
       227:{1,4,5,7}:{(179,1),(183,1),(187,1),(275,1),(281,1),(352,1)}
       228:{2,4,6}:{(179,1),(180,1),(184,1),(271,1),(275,1)}
       229:{1,3,4,6,7}:{(180,1),(181,1),(185,1),(189,1),(261,1),(272,1),(276,1)}
       230:{1,2,5,7}:{(182,1),(183,1),(190,1),(277,1)}
       231:{1,3,6}:{(183,1),(184,1),(275,1),(277,1)}
       232:{2,3,6,7}:{(184,1),(185,1),(192,1),(276,1),(278,1),(347,1)}
       233:{1,3,4}:{(186,1),(264,1),(279,1)}
       234:{1,2,4,5}:{(186,1),(187,1),(190,1),(265,1),(279,1),(280,1)}
       235:{1,4,6}:{(187,1),(188,1),(191,1),(281,1)}
       236:{2,4,7}:{(188,1),(189,1),(192,1),(281,1)}
       237:{1,2,5,6}:{(190,1),(191,1),(268,1),(277,1),(280,1),(282,1)}
       238:{1,3,5,7}:{(191,1),(192,1),(278,1),(281,1),(282,1),(352,1),(355,1)}
       239:{1,4,5,6}:{(194,1),(211,1),(284,1),(285,1),(316,1)}
       240:{1,2,3,5,7}:{(196,1),(201,1),(283,1),(286,1),(290,1),(357,1),(360,1)}
       241:{2,4,5,7}:{(193,1),(198,1),(202,1),(287,1),(288,1),(296,1),(359,1)}
       242:{1,3,4,6}:{(193,1),(194,1),(199,1),(213,1),(284,1),(288,1)}
       243:{1,4,6,7}:{(194,1),(195,1),(204,1),(214,1),(285,1),(405,1)}
       244:{1,2,4,7}:{(196,1),(197,1),(205,1),(290,1)}
       245:{1,3,5,7}:{(197,1),(198,1),(206,1),(287,1),(290,1),(291,1)}
       246:{2,3,6}:{(198,1),(199,1),(288,1),(291,1)}
       247:{1,3,6,7}:{(199,1),(200,1),(208,1),(215,1),(292,1),(402,1)}
       248:{1,2,4}:{(201,1),(293,1)}
       249:{1,4,5}:{(202,1),(206,1),(295,1)}
       250:{2,4,6}:{(202,1),(203,1),(207,1),(295,1),(296,1)}
       251:{1,3,4,7}:{(203,1),(204,1),(208,1),(219,1),(296,1),(405,1),(412,1)}
       252:{1,2,5}:{(205,1),(206,1)}
       253:{1,3,5,6}:{(206,1),(207,1),(291,1),(295,1),(297,1),(298,1),(358,1),(364,1)}
       254:{2,3,5,7}:{(207,1),(208,1),(292,1),(296,1),(298,1),(313,1),(359,1),(375,1)}
       255:{3,5,6,7}:{(209,1),(215,1),(300,1),(304,1)}
       256:{2,5,6,7}:{(210,1),(216,1),(302,1),(317,1),(359,1)}
       257:{3,5,6}:{(211,1),(213,1),(304,1)}
       258:{2,4,5,7}:{(211,1),(214,1),(225,1),(285,1),(304,1),(317,1),(359,1)}
       259:{1,3,4,5,7}:{(212,1),(217,1),(227,1),(287,1),(306,1),(307,1),(312,1),(318,1),(360,1),(372,1),(376,1),(395,1),(399,1),(405,1),(411,1),(412,1)}
       260:{2,3,4,6}:{(212,1),(213,1),(228,1),(288,1),(303,1),(307,1),(373,1),(403,1)}
       261:{3,4,6,7}:{(213,1),(214,1),(215,1),(219,1),(304,1),(402,1),(412,1)}
       262:{2,3,6,7}:{(215,1),(216,1),(221,1),(309,1),(402,1)}
       263:{1,4,6,7}:{(216,1),(222,1),(302,1),(309,1)}
       264:{2,3,4}:{(233,1),(293,1),(310,1)}
       265:{2,4,5}:{(217,1),(310,1),(311,1)}
       266:{1,3,4,6}:{(217,1),(218,1),(220,1),(235,1),(295,1),(311,1),(312,1),(322,1),(364,1)}
       267:{2,3,4,7}:{(218,1),(219,1),(221,1),(236,1),(296,1),(312,1),(375,1),(412,1)}
       268:{2,5,6}:{(220,1),(311,1),(313,1)}
       269:{1,3,5,7}:{(220,1),(221,1),(222,1),(309,1),(312,1),(313,1)}
       270:{1,2,4,6}:{(223,1),(226,1),(314,1),(315,1)}
       271:{2,5,6}:{(224,1),(228,1),(316,1),(317,1)}
       272:{1,3,5,7}:{(224,1),(225,1),(229,1),(304,1),(317,1)}
       273:{1,3,4,7}:{(226,1),(233,1),(305,1),(314,1),(318,1),(405,1)}
       274:{1,2,4,5,7}:{(226,1),(227,1),(230,1),(234,1),(306,1),(315,1),(318,1),(319,1),(323,1),(376,1),(378,1),(405,1)}
       275:{1,4,6}:{(227,1),(228,1),(231,1),(316,1)}
       276:{2,4,6,7}:{(228,1),(229,1),(232,1),(236,1),(317,1),(320,1)}
       277:{1,2,6}:{(230,1),(231,1)}
       278:{1,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5}:{(233,1),(234,1),(310,1),(322,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(237,1),(311,1),(322,1),(323,1)}
       281:{1,4,7}:{(235,1),(236,1),(238,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(313,1),(321,1),(323,1)}
       283:{1,2,3,6}:{(240,1),(324,1),(331,1),(383,1)}
       284:{1,3,5,6}:{(239,1),(242,1),(257,1),(325,1),(326,1)}
       285:{1,4,5,7}:{(239,1),(243,1),(258,1),(326,1),(352,1)}
       286:{1,2,4,7}:{(240,1),(248,1),(324,1),(327,1)}
       287:{1,4,5,7}:{(241,1),(245,1),(249,1),(329,1),(335,1),(382,1)}
       288:{2,4,6}:{(241,1),(242,1),(246,1),(325,1),(329,1)}
       289:{1,3,4,6,7}:{(242,1),(243,1),(247,1),(251,1),(261,1),(326,1),(330,1)}
       290:{1,2,5,7}:{(244,1),(245,1),(252,1),(331,1)}
       291:{1,3,6}:{(245,1),(246,1),(329,1),(331,1)}
       292:{2,3,6,7}:{(246,1),(247,1),(254,1),(330,1),(332,1),(347,1)}
       293:{1,3,4}:{(248,1),(264,1),(333,1)}
       294:{1,2,4,5}:{(248,1),(249,1),(252,1),(265,1),(333,1),(334,1)}
       295:{1,4,6}:{(249,1),(250,1),(253,1),(335,1)}
       296:{2,4,7}:{(250,1),(251,1),(254,1),(335,1)}
       297:{1,2,5,6}:{(252,1),(253,1),(268,1),(331,1),(334,1),(336,1)}
       298:{1,3,5,7}:{(253,1),(254,1),(332,1),(335,1),(336,1),(382,1),(385,1)}
       299:{3,4,5,6}:{(257,1),(337,1),(338,1),(408,1)}
       300:{3,4,6,7}:{(255,1),(338,1),(339,1)}
       301:{2,3,5,6,7}:{(255,1),(256,1),(262,1),(339,1),(340,1),(343,1)}
       302:{1,5,6,7}:{(256,1),(263,1),(352,1),(382,1)}
       303:{2,3,5,6}:{(257,1),(260,1),(271,1),(325,1),(337,1),(342,1),(343,1)}
       304:{3,5,7}:{(257,1),(258,1),(261,1)}
       305:{2,3,4,7}:{(264,1),(273,1),(327,1),(341,1),(344,1),(410,1)}
       306:{2,4,5,7}:{(259,1),(265,1),(344,1),(345,1),(349,1),(389,1),(391,1),(410,1)}
       307:{1,3,4,6}:{(259,1),(260,1),(275,1),(329,1),(342,1),(345,1),(353,1),(383,1),(393,1),(406,1),(408,1)}
       308:{2,3,4,6,7}:{(260,1),(261,1),(262,1),(267,1),(276,1),(330,1),(339,1),(343,1),(346,1),(392,1),(410,1)}
       309:{1,3,6,7}:{(262,1),(263,1),(269,1),(347,1)}
       310:{2,3,5}:{(264,1),(265,1),(279,1),(333,1),(348,1)}
       311:{2,4,6}:{(265,1),(266,1),(268,1),(348,1),(349,1)}
       312:{1,3,4,7}:{(266,1),(267,1),(269,1),(281,1),(335,1),(349,1),(355,1),(385,1)}
       313:{2,5,7}:{(268,1),(269,1),(347,1),(349,1)}
       314:{1,3,4,6}:{(270,1),(273,1),(341,1),(350,1),(353,1),(393,1)}
       315:{1,2,5}:{(270,1),(350,1)}
       316:{1,5,6}:{(271,1),(275,1),(352,1)}
       317:{2,5,7}:{(271,1),(272,1),(276,1),(352,1)}
       318:{1,3,5,7}:{(273,1),(274,1),(279,1),(344,1),(350,1),(353,1),(355,1)}
       319:{1,2,4,6}:{(274,1),(275,1),(277,1),(345,1),(351,1),(353,1),(393,1)}
       320:{1,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(352,1)}
       321:{1,2,6,7}:{(277,1),(278,1),(282,1),(347,1)}
       322:{1,3,6}:{(279,1),(280,1),(348,1),(355,1)}
       323:{1,2,4,7}:{(280,1),(281,1),(282,1),(349,1),(355,1)}
       324:{1,2,4,6}:{(283,1),(286,1),(356,1),(357,1)}
       325:{2,5,6}:{(284,1),(288,1),(358,1),(359,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(304,1),(359,1)}
       327:{1,3,4,7}:{(286,1),(293,1),(305,1),(356,1),(360,1),(411,1)}
       328:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(294,1),(306,1),(357,1),(360,1),(361,1),(365,1),(395,1),(397,1),(411,1)}
       329:{1,4,6}:{(287,1),(288,1),(291,1),(358,1)}
       330:{2,4,6,7}:{(288,1),(289,1),(292,1),(296,1),(359,1),(362,1)}
       331:{1,2,6}:{(290,1),(291,1)}
       332:{1,3,6,7}:{(291,1),(292,1),(298,1),(362,1),(363,1)}
       333:{1,3,5}:{(293,1),(294,1),(310,1),(364,1)}
       334:{1,2,4,6}:{(294,1),(295,1),(297,1),(311,1),(364,1),(365,1)}
       335:{1,4,7}:{(295,1),(296,1),(298,1)}
       336:{1,2,5,7}:{(297,1),(298,1),(313,1),(363,1),(365,1)}
       337:{2,4,5,6}:{(299,1),(303,1),(366,1),(367,1),(403,1)}
       338:{3,4,5,7}:{(299,1),(300,1),(304,1),(367,1),(412,1)}
       339:{2,4,6,7}:{(300,1),(301,1),(367,1),(368,1)}
       340:{1,3,5,6,7}:{(301,1),(302,1),(309,1),(368,1),(369,1),(372,1),(402,1)}
       341:{2,3,4,6}:{(305,1),(314,1),(356,1),(370,1),(373,1),(403,1)}
       342:{1,3,5,6}:{(303,1),(307,1),(316,1),(358,1),(366,1),(371,1),(372,1),(400,1)}
       343:{2,3,5,7}:{(303,1),(304,1),(308,1),(317,1),(359,1),(367,1),(372,1)}
       344:{2,3,5,7}:{(305,1),(306,1),(310,1),(318,1),(360,1),(370,1),(373,1),(375,1)}
       345:{2,4,6}:{(306,1),(307,1),(371,1),(373,1)}
       346:{1,3,4,6,7}:{(307,1),(308,1),(309,1),(312,1),(320,1),(362,1),(368,1),(372,1),(374,1),(379,1),(398,1),(402,1),(405,1),(411,1),(412,1)}
       347:{2,6,7}:{(309,1),(313,1)}
       348:{2,3,6}:{(310,1),(311,1),(322,1),(364,1),(375,1)}
       349:{2,4,7}:{(311,1),(312,1),(313,1),(375,1)}
       350:{1,3,5}:{(314,1),(315,1),(370,1),(376,1)}
       351:{1,2,5,6}:{(315,1),(316,1),(319,1),(371,1),(377,1),(378,1)}
       352:{1,5,7}:{(316,1),(317,1),(320,1)}
       353:{1,3,6}:{(318,1),(319,1),(373,1)}
       354:{1,2,4,6,7}:{(319,1),(320,1),(321,1),(323,1),(374,1),(378,1),(379,1),(405,1)}
       355:{1,3,7}:{(322,1),(323,1),(375,1)}
       356:{1,3,4,6}:{(324,1),(327,1),(341,1),(380,1),(383,1),(406,1)}
       357:{1,2,5}:{(324,1),(380,1)}
       358:{1,5,6}:{(325,1),(329,1),(382,1)}
       359:{2,5,7}:{(325,1),(326,1),(330,1),(382,1)}
       360:{1,3,5,7}:{(327,1),(328,1),(333,1),(344,1),(380,1),(383,1),(385,1)}
       361:{1,2,4,6}:{(328,1),(329,1),(331,1),(345,1),(381,1),(383,1),(406,1)}
       362:{1,4,6,7}:{(329,1),(330,1),(332,1),(335,1),(382,1)}
       363:{1,2,6,7}:{(331,1),(332,1),(336,1),(347,1)}
       364:{1,3,6}:{(333,1),(334,1),(348,1),(385,1)}
       365:{1,2,4,7}:{(334,1),(335,1),(336,1),(349,1),(385,1)}
       366:{1,4,5,6}:{(337,1),(342,1),(386,1),(387,1),(393,1),(406,1)}
       367:{2,4,5,7}:{(337,1),(338,1),(339,1),(343,1),(387,1),(410,1)}
       368:{1,4,6,7}:{(339,1),(340,1),(387,1),(388,1)}
       369:{2,5,6,7}:{(340,1),(347,1),(388,1),(391,1)}
       370:{2,3,5}:{(341,1),(350,1),(380,1),(389,1)}
       371:{2,5,6}:{(342,1),(345,1),(391,1)}
       372:{1,3,5,7}:{(342,1),(343,1),(346,1),(352,1),(382,1),(387,1),(391,1),(409,1)}
       373:{2,3,6}:{(344,1),(345,1),(353,1),(383,1)}
       374:{2,4,6,7}:{(345,1),(346,1),(347,1),(349,1),(391,1),(392,1),(410,1)}
       375:{2,3,7}:{(348,1),(349,1),(355,1),(385,1)}
       376:{1,4,5}:{(350,1),(389,1),(393,1)}
       377:{1,3,5,6}:{(350,1),(351,1),(353,1),(390,1),(393,1),(394,1)}
       378:{1,2,5,7}:{(351,1),(352,1),(354,1),(391,1),(394,1)}
       379:{1,3,6,7}:{(353,1),(354,1),(355,1),(392,1),(394,1)}
       380:{1,3,5}:{(356,1),(357,1),(370,1),(395,1)}
       381:{1,2,5,6}:{(357,1),(358,1),(361,1),(371,1),(396,1),(397,1)}
       382:{1,5,7}:{(358,1),(359,1),(362,1)}
       383:{1,3,6}:{(360,1),(361,1),(373,1)}
       384:{1,2,4,6,7}:{(361,1),(362,1),(363,1),(365,1),(374,1),(397,1),(398,1),(411,1)}
       385:{1,3,7}:{(364,1),(365,1),(375,1)}
       386:{2,4,5,6}:{(366,1),(371,1),(400,1),(401,1),(403,1)}
       387:{1,4,5,7}:{(366,1),(367,1),(368,1),(372,1),(401,1),(405,1),(411,1)}
       388:{2,4,6,7}:{(368,1),(369,1),(401,1),(402,1)}
       389:{2,4,5}:{(370,1),(376,1),(395,1),(399,1),(403,1)}
       390:{2,3,5,6}:{(370,1),(371,1),(373,1),(377,1),(396,1),(400,1),(403,1),(404,1)}
       391:{2,5,7}:{(371,1),(372,1),(374,1)}
       392:{2,3,6,7}:{(373,1),(374,1),(375,1),(379,1),(398,1),(402,1),(404,1)}
       393:{1,4,6}:{(376,1),(377,1),(403,1),(405,1)}
       394:{1,3,5,7}:{(377,1),(378,1),(379,1),(404,1),(405,1)}
       395:{1,4,5}:{(380,1),(389,1),(406,1)}
       396:{1,3,5,6}:{(380,1),(381,1),(383,1),(390,1),(406,1),(407,1)}
       397:{1,2,5,7}:{(381,1),(382,1),(384,1),(391,1),(407,1)}
       398:{1,3,6,7}:{(383,1),(384,1),(385,1),(392,1),(407,1)}
       399:{3,4,5}:{(389,1),(408,1)}
       400:{3,5,6}:{(386,1),(408,1),(409,1)}
       401:{2,4,5,7}:{(386,1),(387,1),(388,1),(391,1),(409,1),(410,1)}
       402:{3,6,7}:{(388,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(393,1),(406,1),(408,1),(410,1)}
       404:{2,3,5,7}:{(390,1),(391,1),(392,1),(394,1),(407,1),(409,1),(410,1)}
       405:{1,4,7}:{(393,1),(394,1),(410,1)}
       406:{1,4,6}:{(395,1),(396,1),(403,1),(411,1)}
       407:{1,3,5,7}:{(396,1),(397,1),(398,1),(404,1),(411,1)}
       408:{3,4,6}:{(399,1),(400,1),(403,1),(412,1)}
       409:{3,5,7}:{(400,1),(401,1),(402,1),(412,1)}
       410:{2,4,7}:{(403,1),(404,1),(405,1),(411,1),(412,1)}
       411:{1,4,7}:{(406,1),(407,1),(410,1)}
       412:{3,4,7}:{(408,1),(409,1),(410,1)}

2486 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(76,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(60,1),(87,1),(93,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(56,1),(99,1)}
         7:{1,2,3,7}:{(2,1),(19,1),(63,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(59,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(60,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(68,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(112,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(68,1),(83,1),(107,1),(112,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(79,1),(116,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(36,1),(37,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(38,1),(40,1),(81,1),(83,1)}
        21:{1,2,5}:{(8,1),(38,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(83,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(90,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(86,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(87,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(49,1),(50,1),(99,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(50,1),(125,1),(138,1)}
        30:{2,3,4,6}:{(15,1),(20,1),(43,1),(51,1),(53,1),(56,1),(97,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(49,1),(54,1),(55,1),(94,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(50,1),(52,1),(55,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(56,1)}
        34:{2,4,6}:{(16,1),(17,1),(54,1),(56,1),(57,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(55,1),(57,1),(63,1),(90,1),(103,1),(121,1),(125,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(51,1),(58,1),(63,1),(103,1)}
        37:{1,2,5,7}:{(19,1),(21,1),(58,1),(59,1)}
        38:{1,3,5}:{(20,1),(21,1),(53,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(54,1),(59,1),(61,1),(62,1)}
        40:{1,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        41:{1,2,4,7}:{(23,1),(57,1),(62,1),(63,1),(103,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(64,1),(65,1)}
        43:{1,3,4,6}:{(25,1),(26,1),(30,1),(64,1),(66,1),(68,1),(105,1),(107,1)}
        44:{1,2,5}:{(25,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(68,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(67,1),(68,1),(69,1),(107,1)}
        47:{4,5,6,7}:{(70,1),(139,1)}
        48:{3,4,6,7}:{(29,1),(70,1),(71,1)}
        49:{1,4,5,6}:{(28,1),(31,1),(72,1),(73,1),(83,1),(107,1),(117,1),(129,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(32,1),(71,1),(73,1),(116,1),(134,1)}
        51:{2,3,4,7}:{(30,1),(36,1),(64,1),(74,1),(79,1),(116,1)}
        52:{2,3,6,7}:{(32,1),(71,1),(75,1)}
        53:{2,3,5}:{(30,1),(38,1),(66,1),(76,1)}
        54:{2,5,6}:{(31,1),(34,1),(78,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(75,1),(78,1),(113,1)}
        56:{2,3,6}:{(33,1),(34,1),(40,1),(68,1),(79,1)}
        57:{2,4,7}:{(34,1),(35,1),(78,1),(79,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(80,1),(81,1)}
        59:{1,2,6}:{(37,1),(81,1)}
        60:{1,4,5}:{(38,1),(76,1),(83,1)}
        61:{1,3,5,6}:{(38,1),(39,1),(40,1),(77,1),(81,1),(83,1),(84,1),(117,1)}
        62:{1,2,5,7}:{(39,1),(41,1),(78,1),(82,1),(84,1)}
        63:{1,3,7}:{(40,1),(41,1),(79,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(51,1),(85,1),(90,1),(121,1)}
        65:{1,2,5,7}:{(42,1),(44,1),(85,1),(86,1)}
        66:{1,3,5}:{(43,1),(44,1),(53,1),(87,1)}
        67:{1,2,5,6}:{(44,1),(46,1),(54,1),(86,1),(88,1),(89,1)}
        68:{1,3,6}:{(45,1),(46,1),(56,1),(90,1)}
        69:{1,2,4,7}:{(46,1),(57,1),(89,1),(90,1),(121,1)}
        70:{3,5,6,7}:{(47,1),(48,1),(91,1),(138,1)}
        71:{2,4,6,7}:{(48,1),(50,1),(52,1),(91,1),(92,1)}
        72:{2,4,5,6}:{(49,1),(54,1),(94,1),(95,1),(99,1),(126,1),(136,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(55,1),(92,1),(95,1),(103,1),(121,1),(128,1),(135,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(58,1),(85,1),(96,1),(97,1)}
        75:{1,3,6,7}:{(52,1),(55,1),(92,1),(98,1),(124,1)}
        76:{2,4,5}:{(53,1),(60,1),(87,1),(93,1),(99,1)}
        77:{2,3,5,6}:{(53,1),(54,1),(56,1),(61,1),(88,1),(94,1),(97,1),(99,1),(100,1),(126,1)}
        78:{2,5,7}:{(54,1),(55,1),(57,1),(98,1)}
        79:{2,3,7}:{(56,1),(57,1),(63,1),(90,1)}
        80:{1,4,5,7}:{(58,1),(60,1),(96,1),(101,1),(103,1),(128,1)}
        81:{1,3,6}:{(58,1),(59,1),(97,1),(101,1)}
        82:{1,2,6,7}:{(59,1),(62,1),(98,1),(102,1)}
        83:{1,4,6}:{(60,1),(61,1),(99,1),(103,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(63,1),(100,1),(102,1),(103,1),(128,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(66,1),(74,1),(104,1),(105,1)}
        86:{1,2,6}:{(65,1),(105,1)}
        87:{1,4,5}:{(66,1),(76,1),(107,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(68,1),(77,1),(105,1),(107,1),(108,1),(129,1)}
        89:{1,2,5,7}:{(67,1),(69,1),(78,1),(106,1),(108,1)}
        90:{1,3,7}:{(68,1),(69,1),(79,1)}
        91:{2,5,6,7}:{(70,1),(71,1),(109,1),(134,1)}
        92:{1,4,6,7}:{(71,1),(73,1),(75,1),(109,1),(111,1)}
        93:{3,4,5}:{(76,1),(112,1)}
        94:{3,5,6}:{(72,1),(112,1),(113,1)}
        95:{2,4,5,7}:{(72,1),(73,1),(78,1),(111,1),(113,1),(116,1),(134,1),(139,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(80,1),(104,1),(110,1),(114,1),(116,1),(134,1)}
        97:{2,3,6}:{(74,1),(81,1),(105,1),(114,1)}
        98:{2,6,7}:{(75,1),(78,1)}
        99:{2,4,6}:{(76,1),(77,1),(83,1),(107,1),(112,1),(116,1)}
       100:{2,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(108,1),(113,1),(115,1),(116,1),(134,1)}
       101:{1,4,6}:{(80,1),(81,1),(114,1),(117,1)}
       102:{1,3,6,7}:{(81,1),(82,1),(84,1),(115,1),(118,1)}
       103:{1,4,7}:{(83,1),(84,1),(116,1)}
       104:{1,4,5,7}:{(85,1),(87,1),(96,1),(119,1),(121,1),(135,1)}
       105:{1,3,6}:{(85,1),(86,1),(97,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(89,1),(98,1),(120,1)}
       107:{1,4,6}:{(87,1),(88,1),(99,1),(121,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(90,1),(100,1),(120,1),(121,1),(135,1)}
       109:{1,5,6,7}:{(91,1),(92,1),(122,1),(128,1),(135,1)}
       110:{3,4,5,7}:{(93,1),(96,1),(123,1),(125,1),(138,1)}
       111:{2,4,6,7}:{(92,1),(95,1),(98,1),(122,1),(124,1),(137,1)}
       112:{3,4,6}:{(93,1),(94,1),(99,1),(125,1)}
       113:{3,5,7}:{(94,1),(95,1),(124,1),(125,1)}
       114:{2,4,6}:{(96,1),(97,1),(101,1),(119,1),(123,1),(126,1)}
       115:{2,3,6,7}:{(97,1),(98,1),(100,1),(102,1),(120,1),(124,1),(127,1)}
       116:{2,4,7}:{(99,1),(100,1),(103,1),(121,1),(125,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(105,1),(114,1),(129,1)}
       120:{1,3,6,7}:{(105,1),(106,1),(108,1),(115,1),(130,1)}
       121:{1,4,7}:{(107,1),(108,1),(116,1)}
       122:{2,5,6,7}:{(109,1),(111,1),(131,1),(134,1)}
       123:{3,4,6}:{(110,1),(114,1),(132,1)}
       124:{3,6,7}:{(111,1),(113,1)}
       125:{3,4,7}:{(112,1),(113,1),(116,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(132,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(133,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6,7}:{(122,1),(124,1),(137,1),(138,1)}
       132:{3,5,6}:{(123,1),(126,1),(136,1),(138,1)}
       133:{3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(132,1),(139,1)}
       137:{4,6,7}:{(131,1),(139,1)}
       138:{3,5,7}:{(132,1),(133,1),(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2487 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2488 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(138,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(18,1),(25,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(39,1),(139,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(29,1),(39,1)}
        11:{1,2,4,5,6}:{(8,1),(18,1),(19,1),(25,1),(40,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(22,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(55,1),(129,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(23,1),(25,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(24,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(14,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(16,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(34,1)}
        21:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(35,1),(36,1),(71,1),(119,1),(141,1)}
        22:{2,3,4,6}:{(12,1),(14,1),(28,1),(34,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(35,1),(37,1)}
        24:{1,3,4,7}:{(14,1),(16,1),(29,1),(36,1)}
        25:{1,2,5,6}:{(15,1),(37,1),(39,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(150,1),(152,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(54,1),(87,1)}
        28:{2,3,5,6}:{(18,1),(22,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(24,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(47,1)}
        32:{1,2,4,5}:{(20,1),(47,1),(49,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(51,1),(86,1),(108,1),(131,1)}
        34:{1,3,4,6}:{(20,1),(22,1),(42,1),(49,1),(51,1)}
        35:{2,3,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{2,3,4,7}:{(22,1),(24,1),(43,1),(51,1)}
        37:{1,3,5,6}:{(23,1),(25,1),(52,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(24,1),(26,1),(44,1),(53,1),(55,1),(79,1),(145,1),(148,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(55,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(34,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(150,1)}
        46:{1,2,3,4,7}:{(31,1),(63,1),(64,1),(121,1)}
        47:{1,2,3,5}:{(31,1),(32,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(95,1),(99,1),(121,1)}
        49:{1,2,4,6}:{(32,1),(34,1),(59,1),(65,1),(67,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(66,1),(68,1)}
        51:{1,3,4,7}:{(34,1),(36,1),(60,1),(67,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(68,1),(70,1),(71,1)}
        53:{2,3,4,6,7}:{(35,1),(36,1),(38,1),(61,1),(69,1),(71,1),(94,1),(136,1),(141,1)}
        54:{1,4,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(49,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(51,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(55,1),(78,1),(79,1),(144,1),(145,1)}
        63:{1,2,3,4,6}:{(46,1),(80,1),(81,1),(109,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,6}:{(47,1),(49,1),(82,1)}
        66:{1,2,4,6}:{(48,1),(50,1),(81,1),(83,1)}
        67:{1,2,4,7}:{(49,1),(51,1),(76,1),(82,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(83,1),(85,1),(86,1)}
        69:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(77,1),(84,1),(86,1),(106,1),(127,1),(131,1)}
        70:{2,4,5,6}:{(52,1),(54,1),(85,1),(87,1),(88,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(88,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(67,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(71,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,5}:{(63,1),(95,1)}
        81:{1,2,3,6}:{(64,1),(66,1)}
        82:{1,2,3,7}:{(65,1),(67,1)}
        83:{1,2,5,6}:{(66,1),(68,1),(99,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(92,1),(97,1),(99,1),(121,1)}
        85:{1,4,5,6}:{(68,1),(70,1),(101,1)}
        86:{1,3,5,7}:{(68,1),(69,1),(71,1),(99,1),(101,1)}
        87:{3,4,5,6}:{(70,1),(102,1)}
        88:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(101,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(144,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(86,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(88,1),(106,1),(107,1)}
        95:{1,2,4,5}:{(80,1),(108,1),(109,1)}
        96:{1,2,3,5,6}:{(80,1),(81,1),(83,1),(109,1),(110,1),(111,1)}
        97:{1,2,3,6,7}:{(81,1),(82,1),(84,1),(110,1),(127,1)}
        98:{1,2,4,5,6}:{(83,1),(85,1),(109,1),(111,1),(112,1),(113,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(86,1)}
       100:{1,3,4,5,6}:{(85,1),(87,1),(111,1),(113,1),(114,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(99,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(101,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,3,4,5}:{(95,1),(119,1),(120,1)}
       109:{1,2,4,6}:{(95,1),(96,1),(120,1),(121,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(99,1),(121,1),(123,1)}
       111:{1,3,5,6}:{(98,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(121,1),(123,1),(125,1)}
       113:{2,4,5,6}:{(100,1),(122,1),(124,1),(125,1)}
       114:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(123,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(112,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(114,1),(126,1),(127,1),(128,1)}
       119:{2,3,4,5}:{(108,1),(129,1),(130,1)}
       120:{1,3,4,6}:{(108,1),(109,1),(111,1),(130,1),(131,1)}
       121:{1,2,4,7}:{(109,1),(110,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(113,1),(130,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(111,1),(112,1),(127,1),(131,1),(133,1)}
       124:{1,4,5,6}:{(113,1),(132,1),(134,1)}
       125:{2,4,5,7}:{(113,1),(114,1),(128,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(123,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(125,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,5}:{(119,1),(139,1),(140,1)}
       130:{2,3,4,6}:{(119,1),(120,1),(122,1),(140,1),(141,1)}
       131:{1,3,4,7}:{(120,1),(121,1),(123,1),(141,1)}
       132:{1,3,5,6}:{(122,1),(124,1),(140,1),(142,1),(143,1)}
       133:{2,3,5,7}:{(122,1),(123,1),(125,1),(136,1),(141,1),(143,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(143,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(144,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(133,1),(145,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(144,1),(145,1)}
       138:{1,2,3,4}:{(146,1)}
       139:{1,2,4,5}:{(129,1),(146,1),(147,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{2,3,4,7}:{(130,1),(131,1),(133,1),(148,1)}
       142:{1,2,5,6}:{(132,1),(147,1),(149,1)}
       143:{1,3,5,7}:{(132,1),(133,1),(134,1),(145,1),(148,1),(149,1)}
       144:{1,5,6,7}:{(135,1),(137,1)}
       145:{1,3,6,7}:{(136,1),(137,1),(143,1),(150,1)}
       146:{1,2,3,5}:{(138,1),(139,1),(151,1)}
       147:{1,2,4,6}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,2,5,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2489 :   0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(98,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(119,1),(148,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(59,1),(68,1)}
         4:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(33,1),(36,1),(99,1),(138,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,6}:{(2,1),(10,1)}
         7:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         8:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(89,1),(129,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(21,1),(46,1),(52,1),(77,1),(121,1)}
        10:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(19,1),(22,1),(23,1),(48,1)}
        13:{1,2,3,6,7}:{(6,1),(20,1),(23,1),(86,1),(148,1)}
        14:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(26,1),(56,1),(59,1),(69,1),(112,1)}
        15:{1,2,3,5}:{(7,1),(26,1)}
        16:{1,2,3,6}:{(8,1),(25,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(34,1),(57,1),(61,1),(71,1),(101,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(30,1)}
        19:{1,2,5,6}:{(10,1),(30,1),(33,1)}
        20:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(33,1),(36,1),(138,1),(152,1)}
        21:{1,3,4,5}:{(11,1),(34,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(13,1),(33,1),(36,1),(67,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(40,1),(50,1),(73,1),(79,1),(91,1)}
        25:{1,2,4,6}:{(14,1),(16,1),(37,1),(38,1)}
        26:{1,2,4,5}:{(15,1),(40,1),(41,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(38,1),(41,1),(42,1),(75,1)}
        28:{1,2,3,6,7}:{(16,1),(39,1),(42,1),(116,1),(129,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(43,1)}
        30:{1,3,5,6}:{(18,1),(19,1),(43,1),(45,1),(46,1)}
        31:{1,3,4,6,7}:{(18,1),(20,1),(44,1),(46,1),(52,1),(83,1),(86,1),(121,1),(146,1)}
        32:{1,2,4,5,6}:{(19,1),(22,1),(45,1),(48,1),(49,1),(84,1)}
        33:{1,2,5,7}:{(19,1),(20,1),(46,1)}
        34:{2,3,4,5}:{(21,1),(50,1),(51,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(48,1),(51,1),(52,1)}
        36:{1,2,4,7}:{(22,1),(23,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(53,1)}
        38:{1,2,5,6}:{(25,1),(53,1),(56,1)}
        39:{1,2,4,6,7}:{(25,1),(28,1),(54,1),(56,1),(59,1),(112,1),(142,1)}
        40:{1,3,4,5}:{(26,1),(57,1),(58,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(58,1),(59,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(56,1),(59,1),(97,1)}
        43:{2,3,5,6}:{(29,1),(30,1),(53,1),(60,1),(61,1)}
        44:{2,3,4,6,7}:{(29,1),(31,1),(54,1),(61,1),(71,1),(101,1),(102,1),(108,1),(134,1)}
        45:{1,4,5,6}:{(30,1),(60,1),(64,1)}
        46:{1,3,5,7}:{(30,1),(31,1),(33,1),(61,1),(64,1)}
        47:{1,2,5,6,7}:{(33,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,3,5,6}:{(32,1),(35,1),(66,1),(67,1)}
        49:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(64,1),(65,1),(67,1),(107,1)}
        50:{1,3,4,5}:{(34,1),(69,1),(70,1)}
        51:{2,3,4,6}:{(34,1),(35,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,7}:{(35,1),(36,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(43,1),(72,1),(73,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(44,1),(73,1),(79,1),(91,1),(113,1),(116,1),(127,1)}
        55:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1),(114,1)}
        56:{1,2,5,7}:{(38,1),(39,1),(73,1)}
        57:{2,3,4,5}:{(40,1),(77,1),(78,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(75,1),(78,1),(79,1)}
        59:{1,2,4,7}:{(41,1),(42,1),(79,1)}
        60:{2,4,5,6}:{(43,1),(45,1),(72,1),(81,1),(82,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(46,1),(73,1),(82,1)}
        62:{1,3,5,6,7}:{(46,1),(47,1),(80,1),(83,1),(86,1),(146,1),(153,1)}
        63:{1,3,4,5,6}:{(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{1,4,5,7}:{(45,1),(46,1),(82,1),(83,1)}
        65:{1,2,4,6,7}:{(47,1),(49,1),(83,1),(86,1),(125,1)}
        66:{2,3,5,6}:{(48,1),(51,1),(84,1),(87,1),(88,1)}
        67:{1,3,5,7}:{(48,1),(49,1),(52,1),(86,1),(88,1)}
        68:{1,2,3,4}:{(89,1)}
        69:{1,2,4,5}:{(50,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(50,1),(51,1),(87,1),(90,1),(91,1)}
        71:{2,3,4,7}:{(51,1),(52,1),(88,1),(91,1)}
        72:{1,4,5,6}:{(53,1),(60,1),(94,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(56,1),(61,1),(94,1)}
        74:{1,2,5,6,7}:{(56,1),(92,1),(95,1),(142,1),(150,1)}
        75:{1,3,5,6}:{(55,1),(58,1),(96,1),(97,1)}
        76:{1,2,4,5,7}:{(55,1),(56,1),(59,1),(94,1),(95,1),(97,1),(133,1)}
        77:{1,3,4,5}:{(57,1),(99,1),(100,1)}
        78:{2,3,4,6}:{(57,1),(58,1),(96,1),(100,1),(101,1)}
        79:{1,3,4,7}:{(58,1),(59,1),(97,1),(101,1)}
        80:{2,3,5,6,7}:{(61,1),(62,1),(92,1),(102,1),(108,1),(134,1),(139,1),(140,1),(150,1)}
        81:{3,4,5,6}:{(60,1),(103,1)}
        82:{2,4,5,7}:{(60,1),(61,1),(64,1),(94,1),(102,1),(103,1)}
        83:{1,4,6,7}:{(62,1),(64,1),(102,1)}
        84:{2,4,5,6}:{(63,1),(66,1),(106,1),(107,1)}
        85:{1,3,4,5,7}:{(63,1),(64,1),(67,1),(103,1),(105,1),(107,1)}
        86:{1,3,6,7}:{(65,1),(67,1),(108,1)}
        87:{1,3,5,6}:{(66,1),(70,1),(106,1),(109,1),(110,1)}
        88:{2,3,5,7}:{(66,1),(67,1),(71,1),(107,1),(108,1),(110,1)}
        89:{1,2,3,5}:{(68,1),(69,1),(111,1)}
        90:{1,2,4,6}:{(69,1),(70,1),(109,1),(111,1),(112,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(110,1),(112,1)}
        92:{1,3,5,6,7}:{(73,1),(74,1),(80,1),(113,1),(116,1),(127,1),(149,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(114,1),(115,1)}
        94:{1,4,5,7}:{(72,1),(73,1),(82,1),(113,1)}
        95:{1,2,4,6,7}:{(74,1),(76,1),(113,1),(116,1),(144,1)}
        96:{2,3,5,6}:{(75,1),(78,1),(114,1),(117,1),(118,1)}
        97:{1,3,5,7}:{(75,1),(76,1),(79,1),(116,1),(118,1)}
        98:{1,2,3,4}:{(119,1)}
        99:{1,2,4,5}:{(77,1),(119,1),(120,1)}
       100:{1,3,4,6}:{(77,1),(78,1),(117,1),(120,1),(121,1)}
       101:{2,3,4,7}:{(78,1),(79,1),(118,1),(121,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(83,1),(113,1),(123,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(123,1)}
       104:{1,4,5,6,7}:{(83,1),(122,1),(124,1),(153,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(86,1),(123,1),(124,1),(125,1)}
       106:{1,4,5,6}:{(84,1),(87,1),(126,1)}
       107:{2,4,5,7}:{(84,1),(85,1),(88,1),(125,1),(126,1)}
       108:{2,3,6,7}:{(86,1),(88,1),(125,1),(127,1)}
       109:{1,2,5,6}:{(87,1),(90,1),(128,1)}
       110:{1,3,5,7}:{(87,1),(88,1),(91,1),(126,1),(127,1),(128,1)}
       111:{1,2,3,6}:{(89,1),(90,1),(129,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(92,1),(94,1),(102,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(132,1),(133,1)}
       115:{1,3,4,5,7}:{(93,1),(94,1),(97,1),(103,1),(131,1),(133,1)}
       116:{1,3,6,7}:{(95,1),(97,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(100,1),(132,1),(135,1),(136,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(101,1),(133,1),(134,1),(136,1)}
       119:{1,2,3,5}:{(98,1),(99,1),(137,1)}
       120:{1,2,4,6}:{(99,1),(100,1),(135,1),(137,1),(138,1)}
       121:{1,3,4,7}:{(100,1),(101,1),(136,1),(138,1)}
       122:{2,4,5,6,7}:{(102,1),(104,1),(130,1),(139,1),(140,1),(150,1)}
       123:{3,4,6,7}:{(102,1),(103,1),(139,1)}
       124:{1,3,5,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       125:{2,4,6,7}:{(105,1),(107,1),(108,1),(140,1),(141,1)}
       126:{1,4,5,7}:{(106,1),(107,1),(110,1),(141,1)}
       127:{1,3,6,7}:{(108,1),(110,1),(141,1),(142,1)}
       128:{1,2,5,7}:{(109,1),(110,1),(112,1),(142,1)}
       129:{1,2,3,7}:{(111,1),(112,1)}
       130:{1,4,5,6,7}:{(113,1),(122,1),(143,1),(149,1)}
       131:{1,3,4,6,7}:{(113,1),(115,1),(116,1),(123,1),(143,1),(144,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,4,5,7}:{(114,1),(115,1),(118,1),(144,1),(145,1)}
       134:{2,3,6,7}:{(116,1),(118,1),(144,1),(146,1)}
       135:{1,2,5,6}:{(117,1),(120,1),(147,1)}
       136:{1,3,5,7}:{(117,1),(118,1),(121,1),(145,1),(146,1),(147,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,4,7}:{(120,1),(121,1),(147,1),(148,1)}
       139:{3,5,6,7}:{(122,1),(123,1)}
       140:{2,5,6,7}:{(124,1),(125,1),(149,1)}
       141:{1,4,6,7}:{(125,1),(126,1),(127,1),(149,1)}
       142:{1,2,6,7}:{(127,1),(128,1)}
       143:{1,3,5,6,7}:{(130,1),(131,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(131,1),(133,1),(134,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(132,1),(133,1),(136,1),(151,1)}
       146:{1,3,6,7}:{(134,1),(136,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(135,1),(136,1),(138,1),(152,1)}
       148:{1,2,3,7}:{(137,1),(138,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2490 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(100,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(68,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(111,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(68,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(65,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(83,1),(121,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(50,1),(101,1),(120,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(50,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(47,1),(55,1),(83,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(50,1),(82,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(114,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(95,1),(114,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(66,1),(89,1),(113,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(68,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(62,1),(70,1),(95,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(71,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(58,1),(68,1),(88,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(42,1),(43,1),(103,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(43,1),(44,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1),(75,1),(80,1),(103,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(44,1),(45,1),(46,1)}
        30:{2,3,5}:{(16,1),(18,1),(45,1),(47,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(46,1)}
        32:{1,4,5}:{(18,1),(47,1),(50,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(48,1),(50,1),(51,1),(108,1),(120,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(49,1),(51,1),(118,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(51,1),(55,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(46,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(52,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(49,1),(53,1),(55,1),(83,1)}
        39:{1,4,5,6}:{(24,1),(50,1),(54,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(55,1),(56,1),(86,1)}
        41:{1,3,5,6,7}:{(40,1),(57,1),(58,1),(88,1)}
        42:{1,2,3,5}:{(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(28,1),(59,1),(60,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        45:{1,3,5}:{(28,1),(30,1),(60,1),(62,1)}
        46:{1,3,6}:{(29,1),(31,1),(36,1),(61,1)}
        47:{2,4,5}:{(30,1),(32,1),(62,1),(65,1),(66,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(63,1),(66,1),(67,1),(71,1),(97,1),(113,1)}
        49:{2,3,6,7}:{(31,1),(34,1),(38,1),(64,1),(67,1),(88,1),(110,1)}
        50:{1,4,6}:{(32,1),(33,1),(66,1),(68,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(35,1),(67,1),(68,1),(117,1),(124,1)}
        52:{1,5,6}:{(36,1),(37,1),(70,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(64,1),(70,1),(95,1)}
        54:{2,4,5,6}:{(37,1),(39,1),(66,1),(69,1),(71,1),(72,1),(97,1)}
        55:{2,5,7}:{(37,1),(38,1),(40,1),(70,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(72,1),(117,1)}
        57:{2,5,6,7}:{(41,1),(55,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(118,1)}
        59:{1,2,4}:{(42,1),(75,1)}
        60:{1,2,5}:{(43,1),(45,1)}
        61:{1,2,6}:{(44,1),(46,1)}
        62:{1,4,5}:{(45,1),(47,1),(80,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(52,1),(77,1),(80,1),(81,1),(103,1)}
        64:{1,3,6,7}:{(46,1),(49,1),(53,1),(78,1),(81,1)}
        65:{3,4,5}:{(47,1),(82,1)}
        66:{2,4,6}:{(47,1),(48,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(81,1),(83,1),(86,1),(109,1),(121,1)}
        68:{1,4,7}:{(50,1),(51,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(54,1),(80,1),(84,1),(85,1)}
        70:{1,5,7}:{(52,1),(53,1),(55,1)}
        71:{3,5,6}:{(54,1),(82,1),(86,1)}
        72:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(83,1),(85,1),(86,1),(109,1)}
        73:{1,5,6,7}:{(57,1),(70,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(72,1),(87,1),(88,1),(110,1)}
        75:{1,3,4}:{(59,1),(89,1),(90,1)}
        76:{1,2,4,5}:{(59,1),(60,1),(62,1),(90,1),(91,1),(93,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(63,1),(91,1),(92,1),(97,1)}
        78:{1,2,6,7}:{(61,1),(64,1),(92,1),(110,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(90,1),(93,1),(94,1)}
        80:{1,4,6}:{(62,1),(63,1),(66,1),(95,1)}
        81:{1,3,5,7}:{(63,1),(64,1),(67,1),(70,1),(92,1),(95,1),(114,1)}
        82:{3,4,6}:{(65,1),(66,1),(71,1),(96,1)}
        83:{2,4,7}:{(66,1),(67,1),(68,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(69,1),(71,1),(94,1),(97,1),(98,1)}
        85:{1,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(95,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(85,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{2,3,4}:{(75,1),(101,1),(102,1)}
        90:{1,3,5}:{(75,1),(76,1),(102,1),(103,1)}
        91:{1,2,4,6}:{(76,1),(77,1),(80,1),(103,1),(104,1),(106,1)}
        92:{1,2,5,7}:{(77,1),(78,1),(81,1),(104,1),(109,1)}
        93:{2,4,5}:{(79,1),(102,1),(105,1),(106,1)}
        94:{1,3,4,6}:{(79,1),(80,1),(82,1),(84,1),(103,1),(106,1),(107,1)}
        95:{1,4,7}:{(80,1),(81,1),(83,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{2,5,6}:{(84,1),(106,1),(108,1),(109,1)}
        98:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(107,1),(109,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(98,1),(110,1)}
       100:{1,2,3}:{(111,1)}
       101:{1,3,4}:{(89,1),(111,1),(112,1)}
       102:{2,3,5}:{(89,1),(90,1),(93,1),(112,1),(113,1)}
       103:{1,3,6}:{(90,1),(91,1),(113,1),(114,1)}
       104:{1,2,4,7}:{(91,1),(92,1),(95,1),(114,1),(116,1)}
       105:{1,4,5}:{(93,1),(112,1),(115,1)}
       106:{2,4,6}:{(93,1),(94,1),(97,1),(113,1),(115,1),(116,1)}
       107:{1,3,4,7}:{(94,1),(95,1),(96,1),(98,1),(114,1),(116,1)}
       108:{1,5,6}:{(97,1),(115,1),(117,1)}
       109:{2,5,7}:{(97,1),(98,1),(110,1),(116,1),(117,1)}
       110:{2,6,7}:{(99,1),(109,1),(118,1)}
       111:{1,2,4}:{(100,1),(101,1),(119,1)}
       112:{1,3,5}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{2,3,6}:{(102,1),(103,1),(106,1),(120,1),(121,1)}
       114:{1,3,7}:{(103,1),(104,1),(121,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(120,1),(122,1)}
       116:{2,4,7}:{(106,1),(107,1),(109,1),(121,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(118,1),(122,1)}
       118:{1,6,7}:{(110,1),(117,1)}
       119:{1,2,5}:{(111,1),(112,1),(123,1)}
       120:{1,3,6}:{(112,1),(113,1),(115,1),(123,1),(124,1)}
       121:{2,3,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,4,7}:{(115,1),(116,1),(117,1),(124,1)}
       123:{1,2,6}:{(119,1),(120,1),(125,1)}
       124:{1,3,7}:{(120,1),(121,1),(122,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2491 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(147,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(24,1),(29,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(138,1),(152,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(17,1),(44,1),(128,1),(145,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(40,1),(44,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,3,4}:{(19,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(22,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(59,1),(116,1),(136,1)}
        15:{1,2,4,5,6}:{(7,1),(24,1),(27,1),(29,1),(45,1),(60,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(29,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(58,1),(152,1)}
        19:{1,2,3,5}:{(11,1),(31,1),(32,1)}
        20:{1,2,3,4,7}:{(11,1),(33,1),(34,1),(101,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(35,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(75,1),(103,1),(126,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,7}:{(13,1),(16,1),(38,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(39,1),(42,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(145,1),(153,1)}
        29:{1,2,5,6}:{(17,1),(42,1),(44,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(60,1),(93,1)}
        31:{1,2,4,5}:{(19,1),(21,1),(47,1)}
        32:{1,2,3,6}:{(19,1),(47,1),(49,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(48,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,4,6}:{(20,1),(50,1),(51,1),(86,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(47,1),(52,1),(53,1)}
        36:{1,3,4,5,7}:{(21,1),(23,1),(48,1),(53,1),(54,1),(87,1),(89,1),(114,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(25,1),(53,1),(55,1)}
        39:{2,3,4,6}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(27,1),(55,1),(58,1)}
        41:{1,3,4,6,7}:{(25,1),(26,1),(28,1),(56,1),(58,1),(59,1),(94,1),(136,1),(150,1)}
        42:{1,3,5,6}:{(26,1),(29,1),(57,1),(59,1),(60,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(59,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(35,1),(65,1),(66,1)}
        48:{1,2,4,5,7}:{(31,1),(33,1),(36,1),(66,1),(67,1),(70,1),(99,1),(101,1)}
        49:{1,2,3,7}:{(32,1),(66,1)}
        50:{1,2,3,6}:{(33,1),(67,1)}
        51:{1,2,3,5}:{(34,1),(70,1)}
        52:{1,3,5,6}:{(35,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,7}:{(35,1),(38,1),(66,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(39,1),(67,1),(73,1)}
        55:{2,3,5,7}:{(37,1),(38,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(74,1),(75,1),(107,1),(126,1),(142,1)}
        57:{2,3,5,6}:{(39,1),(42,1),(73,1),(75,1),(76,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(75,1),(78,1)}
        60:{1,4,5,6}:{(42,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(47,1),(52,1),(82,1)}
        66:{1,2,4,7}:{(47,1),(49,1),(53,1),(82,1)}
        67:{1,2,4,6}:{(48,1),(50,1),(54,1),(84,1)}
        68:{1,2,3,6,7}:{(49,1),(50,1),(83,1),(85,1),(133,1)}
        69:{1,2,3,5,6}:{(50,1),(51,1),(84,1),(85,1),(86,1),(113,1)}
        70:{1,2,4,5}:{(51,1),(86,1),(87,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(83,1),(88,1),(89,1),(114,1),(117,1),(133,1)}
        73:{1,3,5,6}:{(54,1),(57,1),(84,1),(89,1),(90,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(59,1),(89,1),(92,1)}
        76:{2,4,5,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(92,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(71,1),(98,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(98,1),(99,1),(101,1)}
        84:{1,2,5,6}:{(67,1),(73,1),(99,1)}
        85:{1,2,3,5,7}:{(68,1),(69,1),(99,1),(101,1),(124,1)}
        86:{1,2,4,6}:{(69,1),(70,1),(101,1),(102,1)}
        87:{1,3,4,5}:{(70,1),(102,1),(103,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,3,5,7}:{(72,1),(73,1),(75,1),(99,1),(105,1)}
        90:{1,4,5,6}:{(73,1),(76,1),(105,1)}
        91:{2,3,5,6,7}:{(74,1),(75,1),(77,1),(96,1),(104,1),(107,1),(122,1),(141,1),(142,1)}
        92:{2,4,5,7}:{(75,1),(76,1),(78,1),(105,1),(107,1),(108,1)}
        93:{3,4,5,6}:{(76,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(89,1)}
       100:{1,2,4,5,6}:{(84,1),(86,1),(90,1),(112,1),(113,1),(119,1)}
       101:{1,2,4,7}:{(85,1),(86,1),(114,1)}
       102:{1,3,4,6}:{(86,1),(87,1),(113,1),(114,1),(115,1)}
       103:{2,3,4,5}:{(87,1),(115,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(109,1),(111,1),(117,1),(133,1)}
       105:{1,4,5,7}:{(89,1),(90,1),(92,1),(117,1)}
       106:{1,3,4,5,6}:{(90,1),(93,1),(113,1),(118,1),(119,1)}
       107:{2,4,6,7}:{(91,1),(92,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(141,1)}
       111:{1,2,5,6,7}:{(98,1),(99,1),(104,1),(123,1),(141,1)}
       112:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(105,1),(123,1),(124,1),(130,1)}
       113:{1,3,5,6}:{(100,1),(102,1),(124,1),(125,1)}
       114:{1,3,4,7}:{(101,1),(102,1),(124,1),(126,1)}
       115:{2,3,4,6}:{(102,1),(103,1),(125,1),(126,1),(127,1)}
       116:{1,3,4,5}:{(103,1),(127,1),(128,1)}
       117:{1,4,6,7}:{(104,1),(105,1),(107,1)}
       118:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(124,1),(129,1),(130,1)}
       119:{2,4,5,6}:{(106,1),(125,1),(130,1),(131,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(132,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(133,1),(139,1)}
       124:{1,3,5,7}:{(112,1),(113,1),(114,1),(133,1),(134,1)}
       125:{2,3,5,6}:{(113,1),(115,1),(119,1),(134,1),(135,1)}
       126:{2,3,4,7}:{(114,1),(115,1),(134,1),(136,1)}
       127:{1,3,4,6}:{(115,1),(116,1),(135,1),(136,1),(137,1)}
       128:{1,2,4,5}:{(116,1),(137,1),(138,1)}
       129:{1,3,4,6,7}:{(117,1),(118,1),(120,1),(132,1),(133,1),(139,1)}
       130:{2,4,5,7}:{(118,1),(119,1),(134,1),(139,1),(140,1)}
       131:{1,4,5,6}:{(119,1),(135,1),(140,1)}
       132:{1,3,5,6,7}:{(121,1),(122,1),(129,1),(141,1)}
       133:{1,3,6,7}:{(123,1),(124,1),(142,1)}
       134:{2,3,5,7}:{(124,1),(125,1),(126,1),(130,1),(142,1),(143,1)}
       135:{1,3,5,6}:{(125,1),(127,1),(131,1),(143,1),(144,1)}
       136:{1,3,4,7}:{(126,1),(127,1),(143,1),(145,1)}
       137:{1,2,4,6}:{(127,1),(128,1),(144,1),(145,1),(146,1)}
       138:{1,2,3,5}:{(128,1),(146,1),(147,1)}
       139:{2,4,6,7}:{(129,1),(130,1),(141,1),(142,1),(148,1)}
       140:{1,4,5,7}:{(130,1),(131,1),(143,1),(148,1)}
       141:{2,5,6,7}:{(132,1),(139,1),(149,1)}
       142:{2,3,6,7}:{(133,1),(134,1),(139,1),(150,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(140,1),(150,1),(151,1)}
       144:{1,2,5,6}:{(135,1),(137,1),(151,1)}
       145:{1,2,4,7}:{(136,1),(137,1),(151,1),(152,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,3,4}:{(138,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(141,1),(148,1)}
       150:{1,3,6,7}:{(142,1),(143,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(143,1),(144,1),(145,1),(153,1)}
       152:{1,2,3,7}:{(145,1),(146,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2492 :   0:{1,2,3,4,7}:{(1,1),(2,1),(34,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(120,1),(148,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(57,1),(111,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(10,1),(13,1),(32,1),(34,1),(99,1),(136,1)}
         5:{1,2,3,6}:{(1,1),(10,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(90,1),(128,1)}
         8:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(23,1),(45,1),(50,1),(78,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(18,1),(20,1)}
        11:{1,2,3,6,7}:{(5,1),(19,1),(21,1),(85,1),(148,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(49,1)}
        13:{1,2,4,5}:{(6,1),(22,1),(23,1)}
        14:{1,2,4,5,7}:{(7,1),(24,1),(25,1),(28,1),(55,1),(57,1),(70,1),(109,1)}
        15:{1,2,3,6}:{(7,1),(25,1)}
        16:{1,2,3,5}:{(8,1),(28,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(36,1),(59,1),(60,1),(68,1),(97,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(32,1),(34,1),(136,1),(152,1)}
        20:{1,2,5,6}:{(10,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(32,1),(34,1),(66,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1)}
        23:{1,3,4,5}:{(13,1),(35,1),(36,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(42,1),(52,1),(71,1),(76,1),(88,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(37,1),(39,1)}
        26:{1,2,3,6,7}:{(15,1),(38,1),(40,1),(115,1),(128,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(39,1),(40,1),(41,1),(75,1)}
        28:{1,2,4,5}:{(16,1),(41,1),(42,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(44,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(43,1),(45,1),(50,1),(82,1),(85,1),(118,1),(146,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(44,1),(45,1),(46,1)}
        32:{1,2,5,7}:{(19,1),(20,1),(45,1)}
        33:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(48,1),(49,1),(84,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,6}:{(22,1),(23,1),(49,1),(50,1),(51,1)}
        36:{2,3,4,5}:{(23,1),(51,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(54,1)}
        38:{1,2,4,6,7}:{(25,1),(26,1),(53,1),(55,1),(57,1),(109,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(26,1),(27,1),(55,1),(57,1),(95,1)}
        41:{1,2,4,6}:{(27,1),(28,1),(57,1),(58,1)}
        42:{1,3,4,5}:{(28,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(29,1),(30,1),(53,1),(60,1),(68,1),(97,1),(100,1),(106,1),(133,1)}
        44:{2,3,5,6}:{(29,1),(31,1),(54,1),(60,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{1,4,5,6}:{(31,1),(61,1),(63,1)}
        47:{1,2,5,6,7}:{(32,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(63,1),(65,1),(66,1),(104,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(66,1),(67,1)}
        50:{1,3,4,7}:{(34,1),(35,1),(66,1),(68,1)}
        51:{2,3,4,6}:{(35,1),(36,1),(67,1),(68,1),(69,1)}
        52:{1,3,4,5}:{(36,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(37,1),(38,1),(43,1),(71,1),(76,1),(88,1),(112,1),(115,1),(126,1)}
        54:{1,3,5,6}:{(37,1),(39,1),(44,1),(71,1),(72,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{1,2,4,5,6}:{(39,1),(41,1),(72,1),(74,1),(75,1),(114,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(76,1)}
        58:{1,3,4,6}:{(41,1),(42,1),(75,1),(76,1),(77,1)}
        59:{2,3,4,5}:{(42,1),(77,1),(78,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(80,1)}
        61:{2,4,5,6}:{(44,1),(46,1),(72,1),(80,1),(81,1)}
        62:{1,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(85,1),(146,1),(153,1)}
        63:{1,4,5,7}:{(45,1),(46,1),(80,1),(82,1)}
        64:{1,3,4,5,6}:{(46,1),(49,1),(81,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(82,1),(85,1),(124,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(85,1),(86,1)}
        67:{2,3,5,6}:{(49,1),(51,1),(84,1),(86,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(51,1),(86,1),(88,1)}
        69:{1,3,4,6}:{(51,1),(52,1),(87,1),(88,1),(89,1)}
        70:{1,2,4,5}:{(52,1),(89,1),(90,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(60,1),(92,1)}
        72:{1,4,5,6}:{(54,1),(61,1),(92,1)}
        73:{1,2,5,6,7}:{(55,1),(91,1),(94,1),(142,1),(150,1)}
        74:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(92,1),(94,1),(95,1),(131,1)}
        75:{1,3,5,6}:{(56,1),(58,1),(95,1),(96,1)}
        76:{1,3,4,7}:{(57,1),(58,1),(95,1),(97,1)}
        77:{2,3,4,6}:{(58,1),(59,1),(96,1),(97,1),(98,1)}
        78:{1,3,4,5}:{(59,1),(98,1),(99,1)}
        79:{2,3,5,6,7}:{(60,1),(62,1),(91,1),(100,1),(106,1),(133,1),(139,1),(140,1),(150,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(63,1),(92,1),(100,1),(101,1)}
        81:{3,4,5,6}:{(61,1),(101,1)}
        82:{1,4,6,7}:{(62,1),(63,1),(100,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(101,1),(103,1),(104,1)}
        84:{2,4,5,6}:{(64,1),(67,1),(104,1),(105,1)}
        85:{1,3,6,7}:{(65,1),(66,1),(106,1)}
        86:{2,3,5,7}:{(66,1),(67,1),(68,1),(104,1),(106,1),(107,1)}
        87:{1,3,5,6}:{(67,1),(69,1),(105,1),(107,1),(108,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(107,1),(109,1)}
        89:{1,2,4,6}:{(69,1),(70,1),(108,1),(109,1),(110,1)}
        90:{1,2,3,5}:{(70,1),(110,1),(111,1)}
        91:{1,3,5,6,7}:{(71,1),(73,1),(79,1),(112,1),(115,1),(126,1),(149,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(80,1),(112,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(113,1),(114,1)}
        94:{1,2,4,6,7}:{(73,1),(74,1),(112,1),(115,1),(144,1)}
        95:{1,3,5,7}:{(74,1),(75,1),(76,1),(115,1),(116,1)}
        96:{2,3,5,6}:{(75,1),(77,1),(114,1),(116,1),(117,1)}
        97:{2,3,4,7}:{(76,1),(77,1),(116,1),(118,1)}
        98:{1,3,4,6}:{(77,1),(78,1),(117,1),(118,1),(119,1)}
        99:{1,2,4,5}:{(78,1),(119,1),(120,1)}
       100:{2,4,6,7}:{(79,1),(80,1),(82,1),(112,1),(122,1)}
       101:{3,4,5,7}:{(80,1),(81,1),(122,1)}
       102:{1,4,5,6,7}:{(82,1),(121,1),(123,1),(153,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(122,1),(123,1),(124,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,4,5,6}:{(84,1),(87,1),(125,1)}
       106:{2,3,6,7}:{(85,1),(86,1),(124,1),(126,1)}
       107:{1,3,5,7}:{(86,1),(87,1),(88,1),(125,1),(126,1),(127,1)}
       108:{1,2,5,6}:{(87,1),(89,1),(127,1)}
       109:{1,2,4,7}:{(88,1),(89,1),(127,1),(128,1)}
       110:{1,2,3,6}:{(89,1),(90,1),(128,1)}
       111:{1,2,3,4}:{(90,1)}
       112:{1,4,6,7}:{(91,1),(92,1),(100,1)}
       113:{1,3,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(130,1),(131,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(131,1),(132,1)}
       115:{1,3,6,7}:{(94,1),(95,1),(133,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(97,1),(131,1),(133,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(98,1),(132,1),(134,1),(135,1)}
       118:{1,3,4,7}:{(97,1),(98,1),(134,1),(136,1)}
       119:{1,2,4,6}:{(98,1),(99,1),(135,1),(136,1),(137,1)}
       120:{1,2,3,5}:{(99,1),(137,1),(138,1)}
       121:{2,4,5,6,7}:{(100,1),(102,1),(129,1),(139,1),(140,1),(150,1)}
       122:{3,4,6,7}:{(100,1),(101,1),(139,1)}
       123:{1,3,5,6,7}:{(102,1),(103,1),(139,1),(140,1)}
       124:{2,4,6,7}:{(103,1),(104,1),(106,1),(140,1),(141,1)}
       125:{1,4,5,7}:{(104,1),(105,1),(107,1),(141,1)}
       126:{1,3,6,7}:{(106,1),(107,1),(141,1),(142,1)}
       127:{1,2,5,7}:{(107,1),(108,1),(109,1),(142,1)}
       128:{1,2,3,7}:{(109,1),(110,1)}
       129:{1,4,5,6,7}:{(112,1),(121,1),(143,1),(149,1)}
       130:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(122,1),(143,1),(144,1)}
       131:{2,4,5,7}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,3,6,7}:{(115,1),(116,1),(144,1),(146,1)}
       134:{1,3,5,7}:{(116,1),(117,1),(118,1),(145,1),(146,1),(147,1)}
       135:{1,2,5,6}:{(117,1),(119,1),(147,1)}
       136:{1,2,4,7}:{(118,1),(119,1),(147,1),(148,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,3,4}:{(120,1)}
       139:{3,5,6,7}:{(121,1),(122,1)}
       140:{2,5,6,7}:{(123,1),(124,1),(149,1)}
       141:{1,4,6,7}:{(124,1),(125,1),(126,1),(149,1)}
       142:{1,2,6,7}:{(126,1),(127,1)}
       143:{1,3,5,6,7}:{(129,1),(130,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(130,1),(131,1),(133,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(131,1),(132,1),(134,1),(151,1)}
       146:{1,3,6,7}:{(133,1),(134,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       148:{1,2,3,7}:{(136,1),(137,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2493 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2494 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2495 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2496 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2497 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2498 :   0:{1,2,3,5,7}:{(2,1),(3,1),(21,1),(24,1),(280,1),(281,1),(287,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(31,1),(36,1),(89,1),(163,1),(166,1),(168,1),(176,1),(234,1),(255,1)}
         2:{1,2,4,7}:{(0,1),(8,1),(10,1),(325,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(41,1),(319,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(52,1),(223,1),(224,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(21,1),(49,1),(60,1),(70,1),(114,1),(127,1),(139,1),(195,1),(210,1),(212,1),(220,1),(277,1),(298,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(18,1),(56,1),(126,1),(206,1),(219,1),(276,1)}
         7:{1,2,3,6,7}:{(3,1),(19,1),(20,1),(68,1),(136,1),(221,1),(281,1),(351,1),(352,1),(391,1)}
         8:{1,3,4,7}:{(2,1),(14,1),(21,1),(22,1),(139,1),(356,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(21,1),(23,1),(24,1),(70,1),(71,1),(139,1),(277,1),(280,1),(284,1),(354,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(22,1),(24,1)}
        11:{1,2,3,5,6}:{(3,1),(20,1),(24,1),(25,1),(65,1),(69,1),(73,1),(136,1),(143,1),(286,1),(287,1),(352,1),(355,1),(390,1),(393,1)}
        12:{1,2,4,7}:{(4,1),(27,1),(29,1),(272,1)}
        13:{1,2,3,6}:{(4,1),(29,1),(78,1),(266,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(166,1),(338,1)}
        15:{2,4,5,7}:{(5,1),(31,1),(33,1),(89,1),(90,1),(166,1),(257,1),(336,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(35,1),(41,1),(78,1),(102,1),(153,1),(167,1),(263,1),(316,1)}
        17:{2,3,4,6,7}:{(6,1),(34,1),(36,1),(86,1),(87,1),(166,1),(250,1),(253,1),(255,1),(262,1),(315,1)}
        18:{2,3,5,6}:{(6,1),(35,1),(36,1),(37,1),(249,1),(261,1),(314,1)}
        19:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(98,1),(238,1),(262,1),(319,1),(377,1)}
        20:{1,2,3,5,7}:{(7,1),(11,1),(39,1),(40,1),(99,1),(101,1),(184,1),(324,1),(378,1),(402,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(31,1),(41,1),(42,1),(323,1),(378,1)}
        22:{1,3,4,6}:{(8,1),(10,1),(32,1),(41,1),(42,1),(102,1)}
        23:{1,2,4,6}:{(9,1),(33,1),(41,1),(44,1),(102,1),(316,1),(319,1)}
        24:{1,2,5}:{(10,1),(42,1)}
        25:{1,2,4,6}:{(11,1),(40,1),(45,1),(46,1),(102,1),(182,1),(325,1),(403,1)}
        26:{1,2,3,6,7}:{(13,1),(47,1),(48,1),(112,1),(192,1),(224,1),(278,1),(307,1),(308,1),(369,1)}
        27:{1,3,4,7}:{(12,1),(14,1),(49,1),(50,1),(195,1),(312,1)}
        28:{1,2,4,5,7}:{(12,1),(15,1),(49,1),(51,1),(52,1),(114,1),(115,1),(195,1),(220,1),(223,1),(227,1),(310,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(50,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(48,1),(52,1),(53,1),(109,1),(113,1),(117,1),(192,1),(199,1),(229,1),(230,1),(308,1),(311,1),(368,1),(371,1)}
        31:{2,3,5,7}:{(14,1),(15,1),(21,1),(49,1),(56,1),(57,1),(300,1),(366,1)}
        32:{2,3,4,6}:{(14,1),(22,1),(50,1),(56,1),(57,1),(126,1)}
        33:{2,4,6}:{(15,1),(16,1),(56,1),(59,1)}
        34:{1,3,4,6,7}:{(16,1),(17,1),(58,1),(60,1),(68,1),(112,1),(123,1),(139,1),(195,1),(208,1),(210,1),(297,1),(298,1),(304,1),(348,1)}
        35:{1,3,5,6}:{(16,1),(18,1),(59,1),(60,1),(61,1),(129,1),(303,1),(347,1)}
        36:{2,3,5,7}:{(17,1),(18,1),(60,1),(62,1),(292,1),(302,1),(346,1)}
        37:{2,4,5,6}:{(18,1),(61,1),(62,1),(63,1),(126,1)}
        38:{1,3,4,6,7}:{(19,1),(22,1),(54,1),(64,1),(67,1),(68,1),(133,1),(136,1),(139,1),(194,1),(279,1),(348,1),(391,1),(392,1),(409,1)}
        39:{1,2,5,7}:{(19,1),(24,1),(64,1),(65,1),(302,1),(393,1)}
        40:{1,2,4,7}:{(20,1),(25,1),(67,1),(139,1),(225,1),(409,1)}
        41:{1,3,6}:{(21,1),(23,1),(56,1)}
        42:{1,3,5}:{(22,1),(24,1),(57,1),(70,1)}
        43:{1,2,4,6,7}:{(23,1),(58,1),(68,1),(71,1),(139,1),(348,1),(351,1),(354,1)}
        44:{1,2,5,6}:{(23,1),(24,1),(59,1),(69,1),(71,1),(347,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(70,1),(73,1),(141,1),(393,1),(410,1)}
        46:{1,3,4,6}:{(25,1),(67,1),(73,1),(74,1),(136,1),(355,1),(356,1)}
        47:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(149,1),(180,1),(266,1),(315,1),(344,1)}
        48:{1,2,3,5,7}:{(26,1),(30,1),(76,1),(77,1),(150,1),(152,1),(242,1),(271,1),(345,1),(386,1)}
        49:{1,3,5,7}:{(27,1),(28,1),(31,1),(78,1),(79,1),(270,1),(345,1)}
        50:{1,3,4,6}:{(27,1),(29,1),(32,1),(78,1),(79,1),(153,1)}
        51:{1,2,4,6}:{(28,1),(33,1),(78,1),(81,1),(153,1),(263,1),(266,1)}
        52:{1,2,5}:{(29,1),(79,1)}
        53:{1,2,4,6}:{(30,1),(77,1),(82,1),(83,1),(153,1),(240,1),(272,1),(387,1)}
        54:{2,3,4,6,7}:{(32,1),(38,1),(75,1),(84,1),(87,1),(100,1),(151,1),(162,1),(166,1),(178,1),(236,1),(250,1),(262,1),(315,1),(384,1),(385,1),(407,1)}
        55:{2,3,5,6,7}:{(36,1),(85,1),(86,1),(160,1),(247,1),(253,1)}
        56:{2,3,6}:{(31,1),(33,1),(41,1),(78,1)}
        57:{2,3,5}:{(32,1),(42,1),(79,1),(89,1)}
        58:{2,4,6,7}:{(33,1),(34,1),(87,1),(90,1),(166,1),(335,1),(336,1)}
        59:{2,5,6}:{(33,1),(35,1),(90,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(36,1),(90,1),(92,1),(169,1),(339,1),(372,1)}
        61:{1,4,5,6}:{(35,1),(37,1),(91,1),(92,1),(102,1),(153,1)}
        62:{2,4,5,7}:{(36,1),(37,1),(86,1),(92,1),(94,1),(166,1)}
        63:{3,4,5,6}:{(37,1),(94,1),(167,1),(249,1)}
        64:{1,3,5,7}:{(38,1),(39,1),(42,1),(84,1),(95,1),(96,1),(372,1),(404,1)}
        65:{1,2,5,6}:{(39,1),(95,1),(98,1),(261,1),(319,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(96,1),(98,1),(99,1),(176,1)}
        67:{1,3,4,7}:{(40,1),(46,1),(99,1),(100,1),(378,1)}
        68:{1,3,6,7}:{(41,1),(43,1),(87,1),(101,1),(378,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(44,1),(88,1),(101,1),(102,1)}
        70:{1,4,5}:{(42,1),(89,1),(102,1)}
        71:{1,2,5,7}:{(43,1),(44,1),(90,1),(101,1),(372,1)}
        72:{1,2,4,5,6}:{(44,1),(45,1),(91,1),(98,1),(102,1),(104,1),(105,1),(172,1),(173,1),(182,1),(259,1),(261,1),(322,1),(373,1),(380,1),(403,1)}
        73:{1,3,5}:{(45,1),(46,1),(106,1)}
        74:{2,3,4,6}:{(46,1),(100,1),(106,1),(107,1),(178,1),(182,1),(337,1),(338,1)}
        75:{1,3,4,6,7}:{(47,1),(50,1),(54,1),(108,1),(111,1),(112,1),(138,1),(189,1),(192,1),(195,1),(222,1),(304,1),(369,1),(370,1),(400,1)}
        76:{1,2,5,7}:{(47,1),(52,1),(108,1),(109,1),(346,1),(371,1)}
        77:{1,2,4,7}:{(48,1),(53,1),(111,1),(195,1),(282,1),(400,1)}
        78:{1,3,6}:{(49,1),(51,1),(56,1)}
        79:{1,3,5}:{(50,1),(52,1),(57,1),(114,1)}
        80:{1,2,4,6,7}:{(51,1),(58,1),(112,1),(115,1),(195,1),(304,1),(307,1),(310,1)}
        81:{1,2,5,6}:{(51,1),(52,1),(59,1),(113,1),(115,1),(303,1)}
        82:{1,2,4,5}:{(52,1),(53,1),(114,1),(117,1),(197,1),(371,1),(401,1)}
        83:{1,3,4,6}:{(53,1),(111,1),(117,1),(118,1),(192,1),(311,1),(312,1)}
        84:{2,3,5,7}:{(54,1),(57,1),(64,1),(108,1),(120,1),(121,1),(292,1),(302,1),(346,1),(399,1)}
        85:{1,3,5,6,7}:{(55,1),(60,1),(122,1),(123,1),(208,1),(291,1),(297,1)}
        86:{2,4,6,7}:{(55,1),(62,1),(123,1),(124,1)}
        87:{2,3,6,7}:{(56,1),(58,1),(68,1),(112,1),(125,1),(208,1),(366,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(59,1),(69,1),(113,1),(125,1),(126,1),(129,1)}
        89:{2,4,5}:{(57,1),(70,1),(114,1),(126,1),(127,1)}
        90:{2,5,7}:{(58,1),(59,1),(60,1)}
        91:{2,4,5,6}:{(59,1),(61,1),(126,1),(128,1),(129,1)}
        92:{1,4,5,7}:{(60,1),(61,1),(62,1),(123,1),(128,1),(139,1),(195,1)}
        93:{1,3,4,5,6}:{(61,1),(63,1),(129,1),(130,1),(131,1),(140,1),(196,1),(214,1),(217,1),(274,1),(288,1),(358,1),(395,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(124,1),(210,1),(292,1)}
        95:{1,3,5,6}:{(64,1),(65,1),(120,1),(133,1),(136,1),(279,1),(347,1)}
        96:{1,4,5,7}:{(64,1),(70,1),(121,1),(133,1),(139,1),(409,1),(410,1)}
        97:{1,2,5,6,7}:{(65,1),(71,1),(122,1),(132,1),(135,1),(291,1),(302,1),(351,1),(360,1),(389,1)}
        98:{1,2,4,6}:{(65,1),(66,1),(133,1),(136,1),(219,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(73,1),(136,1),(137,1)}
       100:{2,3,4,7}:{(67,1),(74,1),(137,1),(138,1),(225,1),(366,1)}
       101:{1,3,5,7}:{(68,1),(69,1),(71,1),(125,1),(139,1)}
       102:{1,4,6}:{(69,1),(70,1),(126,1),(139,1)}
       103:{1,3,4,5}:{(70,1),(73,1),(127,1),(140,1),(141,1),(410,1),(412,1)}
       104:{1,2,4,5,7}:{(71,1),(72,1),(128,1),(135,1),(139,1),(142,1),(215,1),(216,1),(225,1),(301,1),(302,1),(354,1),(389,1),(394,1),(409,1)}
       105:{1,3,5,6}:{(72,1),(73,1),(129,1),(136,1),(140,1),(142,1),(143,1),(355,1),(395,1)}
       106:{2,3,5}:{(73,1),(74,1),(141,1),(144,1)}
       107:{1,3,4,6}:{(74,1),(138,1),(144,1),(145,1),(222,1),(226,1),(311,1),(312,1)}
       108:{1,3,5,7}:{(75,1),(76,1),(79,1),(84,1),(146,1),(147,1),(339,1),(388,1)}
       109:{1,2,5,6}:{(76,1),(146,1),(149,1),(266,1),(314,1)}
       110:{1,2,4,5,7}:{(76,1),(77,1),(82,1),(147,1),(149,1),(150,1),(234,1)}
       111:{1,3,4,7}:{(77,1),(83,1),(150,1),(151,1),(345,1)}
       112:{1,3,6,7}:{(78,1),(80,1),(87,1),(152,1),(345,1)}
       113:{1,3,5,6}:{(78,1),(79,1),(81,1),(88,1),(152,1),(153,1)}
       114:{1,4,5}:{(79,1),(89,1),(153,1)}
       115:{1,2,5,7}:{(80,1),(81,1),(90,1),(152,1),(339,1)}
       116:{1,2,4,5,6}:{(81,1),(82,1),(91,1),(149,1),(153,1),(155,1),(156,1),(172,1),(231,1),(240,1),(259,1),(269,1),(314,1),(340,1),(380,1),(387,1)}
       117:{1,3,5}:{(82,1),(83,1),(157,1)}
       118:{2,3,4,6}:{(83,1),(151,1),(157,1),(158,1),(236,1),(240,1),(337,1),(338,1)}
       119:{2,4,5,6,7}:{(86,1),(159,1),(160,1),(247,1),(248,1),(381,1)}
       120:{2,3,5,6}:{(84,1),(95,1),(146,1),(162,1),(178,1),(236,1),(249,1),(261,1),(314,1)}
       121:{2,4,5,7}:{(84,1),(89,1),(96,1),(147,1),(162,1),(163,1),(166,1),(407,1),(408,1)}
       122:{2,5,6,7}:{(85,1),(90,1),(164,1),(335,1)}
       123:{1,4,6,7}:{(85,1),(86,1),(92,1),(164,1)}
       124:{3,4,6,7}:{(86,1),(94,1),(160,1)}
       125:{2,3,5,7}:{(87,1),(88,1),(90,1),(101,1),(152,1),(166,1),(169,1)}
       126:{2,4,6}:{(88,1),(89,1),(102,1),(153,1),(166,1),(167,1)}
       127:{3,4,5}:{(89,1),(167,1)}
       128:{2,4,5,7}:{(90,1),(91,1),(92,1),(164,1),(166,1),(169,1)}
       129:{3,5,6}:{(91,1),(167,1),(169,1)}
       130:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(165,1),(169,1),(171,1),(181,1),(239,1),(258,1),(260,1),(313,1),(326,1),(379,1),(405,1)}
       131:{2,4,5,6}:{(93,1),(170,1),(171,1),(172,1),(182,1),(240,1),(259,1),(261,1),(314,1)}
       132:{1,3,5,6,7}:{(95,1),(97,1),(101,1),(161,1),(174,1),(177,1),(260,1),(318,1),(372,1),(402,1)}
       133:{1,4,6}:{(95,1),(96,1),(162,1)}
       134:{1,3,4,5,7}:{(96,1),(99,1),(103,1),(163,1),(175,1),(176,1),(181,1),(260,1)}
       135:{1,2,4,6,7}:{(97,1),(98,1),(104,1),(164,1),(174,1),(177,1),(254,1),(262,1),(335,1),(381,1)}
       136:{1,3,6}:{(98,1),(99,1),(178,1)}
       137:{2,3,5,7}:{(99,1),(100,1),(106,1),(176,1),(178,1),(179,1)}
       138:{1,3,4,7}:{(100,1),(107,1),(179,1),(180,1),(268,1),(345,1)}
       139:{1,4,7}:{(101,1),(102,1),(166,1)}
       140:{1,3,4,6}:{(102,1),(103,1),(105,1),(167,1),(181,1),(182,1),(403,1),(406,1)}
       141:{2,4,5}:{(103,1),(106,1),(182,1),(183,1)}
       142:{1,3,5,7}:{(104,1),(105,1),(169,1),(177,1),(181,1),(184,1),(378,1),(405,1)}
       143:{2,3,5,6}:{(105,1),(106,1),(178,1),(182,1),(184,1),(185,1),(259,1),(261,1),(337,1)}
       144:{1,3,5}:{(106,1),(107,1),(183,1),(186,1)}
       145:{1,2,4,6}:{(107,1),(180,1),(186,1),(187,1),(266,1),(272,1)}
       146:{1,3,5,6}:{(108,1),(109,1),(120,1),(189,1),(192,1),(222,1),(303,1)}
       147:{1,4,5,7}:{(108,1),(114,1),(121,1),(189,1),(195,1),(400,1),(401,1)}
       148:{1,2,5,6,7}:{(109,1),(115,1),(122,1),(188,1),(191,1),(291,1),(307,1),(346,1),(360,1),(367,1)}
       149:{1,2,4,6}:{(109,1),(110,1),(189,1),(192,1),(276,1)}
       150:{1,3,5,7}:{(110,1),(111,1),(117,1),(192,1),(193,1)}
       151:{2,3,4,7}:{(111,1),(118,1),(193,1),(194,1),(282,1),(366,1)}
       152:{1,3,5,7}:{(112,1),(113,1),(115,1),(125,1),(195,1)}
       153:{1,4,6}:{(113,1),(114,1),(126,1),(195,1)}
       154:{1,3,4,5}:{(114,1),(117,1),(127,1),(196,1),(197,1),(401,1),(412,1)}
       155:{1,2,4,5,7}:{(115,1),(116,1),(128,1),(191,1),(195,1),(198,1),(215,1),(273,1),(282,1),(301,1),(310,1),(346,1),(367,1),(394,1),(400,1)}
       156:{1,3,5,6}:{(116,1),(117,1),(129,1),(192,1),(196,1),(198,1),(199,1),(311,1),(395,1)}
       157:{2,3,5}:{(117,1),(118,1),(197,1),(200,1)}
       158:{1,3,4,6}:{(118,1),(194,1),(200,1),(201,1),(279,1),(283,1),(355,1),(356,1)}
       159:{1,4,5,6,7}:{(119,1),(123,1),(202,1),(203,1),(216,1),(273,1),(291,1),(359,1)}
       160:{3,5,6,7}:{(119,1),(124,1),(292,1),(396,1)}
       161:{2,3,5,6,7}:{(120,1),(122,1),(125,1),(132,1),(188,1),(205,1),(208,1),(221,1),(278,1),(292,1),(302,1),(346,1),(360,1),(396,1),(397,1)}
       162:{2,4,6}:{(120,1),(121,1),(133,1),(189,1),(206,1)}
       163:{3,4,5,7}:{(121,1),(127,1),(206,1),(210,1),(292,1),(411,1),(412,1)}
       164:{2,4,6,7}:{(122,1),(123,1),(128,1),(208,1)}
       165:{1,3,4,6,7}:{(123,1),(124,1),(130,1),(203,1),(208,1),(209,1),(289,1),(297,1),(359,1),(396,1)}
       166:{2,4,7}:{(125,1),(126,1),(139,1),(195,1),(210,1)}
       167:{3,4,6}:{(126,1),(127,1),(129,1),(210,1)}
       168:{2,3,4,5}:{(127,1),(141,1),(197,1),(211,1),(212,1),(300,1),(412,1)}
       169:{3,5,7}:{(128,1),(129,1),(208,1),(210,1)}
       170:{2,3,5,6}:{(129,1),(131,1),(211,1),(213,1),(214,1),(395,1)}
       171:{2,4,5,7}:{(130,1),(131,1),(209,1),(213,1),(215,1),(225,1),(282,1),(301,1),(302,1),(346,1)}
       172:{1,4,5,6}:{(131,1),(214,1),(215,1),(226,1),(283,1),(303,1),(347,1)}
       173:{1,4,5,6}:{(133,1),(204,1),(216,1),(217,1),(347,1)}
       174:{1,4,6,7}:{(132,1),(133,1),(139,1),(205,1),(216,1),(409,1)}
       175:{1,3,4,6}:{(133,1),(134,1),(136,1),(206,1),(217,1),(219,1)}
       176:{2,4,5,7}:{(134,1),(137,1),(141,1),(219,1),(220,1),(225,1),(302,1)}
       177:{1,3,6,7}:{(135,1),(136,1),(142,1),(208,1),(221,1),(396,1)}
       178:{2,3,6}:{(136,1),(137,1),(219,1),(222,1)}
       179:{1,3,5,7}:{(137,1),(138,1),(144,1),(220,1),(222,1),(223,1)}
       180:{1,2,4,7}:{(138,1),(145,1),(223,1),(224,1)}
       181:{1,3,4,7}:{(139,1),(140,1),(142,1),(210,1),(225,1),(409,1),(411,1)}
       182:{2,4,6}:{(140,1),(141,1),(143,1),(225,1),(226,1)}
       183:{1,4,5}:{(141,1),(144,1),(226,1)}
       184:{2,3,5,7}:{(142,1),(143,1),(221,1),(225,1),(228,1),(301,1),(302,1),(366,1)}
       185:{1,3,5,6}:{(143,1),(144,1),(222,1),(226,1),(228,1),(229,1),(303,1),(311,1)}
       186:{1,2,5}:{(144,1),(145,1)}
       187:{1,2,3,6}:{(145,1),(224,1),(230,1),(311,1)}
       188:{1,3,5,6,7}:{(146,1),(148,1),(152,1),(161,1),(232,1),(235,1),(265,1),(313,1),(339,1),(386,1)}
       189:{1,4,6}:{(146,1),(147,1),(162,1)}
       190:{1,3,4,5,7}:{(147,1),(150,1),(154,1),(163,1),(233,1),(234,1),(239,1),(313,1)}
       191:{1,2,4,6,7}:{(148,1),(149,1),(155,1),(164,1),(232,1),(235,1),(254,1),(315,1),(335,1),(381,1)}
       192:{1,3,6}:{(149,1),(150,1),(236,1)}
       193:{2,3,5,7}:{(150,1),(151,1),(157,1),(234,1),(236,1),(237,1)}
       194:{1,3,4,7}:{(151,1),(158,1),(237,1),(238,1),(321,1),(378,1)}
       195:{1,4,7}:{(152,1),(153,1),(166,1)}
       196:{1,3,4,6}:{(153,1),(154,1),(156,1),(167,1),(239,1),(240,1),(387,1),(406,1)}
       197:{2,4,5}:{(154,1),(157,1),(240,1),(241,1)}
       198:{1,3,5,7}:{(155,1),(156,1),(169,1),(235,1),(239,1),(242,1),(345,1),(405,1)}
       199:{2,3,5,6}:{(156,1),(157,1),(236,1),(240,1),(242,1),(243,1),(259,1),(314,1),(337,1)}
       200:{1,3,5}:{(157,1),(158,1),(241,1),(244,1)}
       201:{1,2,4,6}:{(158,1),(238,1),(244,1),(245,1),(319,1),(325,1)}
       202:{2,4,5,6,7}:{(159,1),(164,1),(246,1),(247,1),(248,1),(328,1)}
       203:{1,3,5,6,7}:{(159,1),(160,1),(165,1),(246,1),(247,1),(260,1),(313,1)}
       204:{2,4,5,6}:{(162,1),(173,1),(231,1),(248,1),(249,1),(261,1),(314,1)}
       205:{2,4,6,7}:{(161,1),(162,1),(166,1),(174,1),(232,1),(248,1),(250,1),(407,1)}
       206:{3,4,6}:{(162,1),(163,1),(249,1)}
       207:{2,3,4,5,7}:{(163,1),(168,1),(176,1),(234,1),(251,1),(252,1),(255,1),(330,1),(334,1),(407,1),(408,1)}
       208:{3,6,7}:{(164,1),(169,1)}
       209:{2,4,6,7}:{(165,1),(171,1),(247,1),(253,1),(254,1),(335,1)}
       210:{3,4,7}:{(166,1),(167,1),(169,1)}
       211:{2,3,4,6}:{(167,1),(168,1),(170,1),(182,1),(240,1),(255,1),(256,1),(337,1),(406,1)}
       212:{1,3,4,5}:{(168,1),(183,1),(241,1),(256,1),(257,1),(270,1),(323,1)}
       213:{2,3,5,7}:{(169,1),(170,1),(171,1),(253,1),(255,1),(258,1),(405,1)}
       214:{1,3,5,6}:{(170,1),(172,1),(256,1),(258,1),(259,1)}
       215:{1,4,5,7}:{(171,1),(172,1),(254,1),(258,1),(268,1),(321,1),(339,1),(372,1)}
       216:{1,4,5,7}:{(173,1),(174,1),(248,1),(260,1),(372,1)}
       217:{1,3,5,6}:{(173,1),(175,1),(249,1),(260,1),(261,1)}
       218:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(181,1),(250,1),(260,1),(262,1)}
       219:{2,4,6}:{(175,1),(176,1),(178,1),(261,1),(263,1)}
       220:{1,4,5,7}:{(176,1),(179,1),(183,1),(263,1),(268,1),(339,1)}
       221:{2,3,6,7}:{(177,1),(178,1),(184,1),(262,1),(265,1),(335,1)}
       222:{1,3,6}:{(178,1),(179,1),(263,1),(266,1)}
       223:{1,2,5,7}:{(179,1),(180,1),(186,1),(266,1)}
       224:{1,2,3,7}:{(180,1),(187,1),(345,1)}
       225:{2,4,7}:{(181,1),(182,1),(184,1),(268,1)}
       226:{1,4,6}:{(182,1),(183,1),(185,1),(268,1)}
       227:{1,2,4,5}:{(183,1),(186,1),(257,1),(269,1),(270,1),(272,1)}
       228:{1,3,5,7}:{(184,1),(185,1),(265,1),(268,1),(271,1),(339,1),(345,1)}
       229:{1,2,5,6}:{(185,1),(186,1),(259,1),(266,1),(269,1),(271,1)}
       230:{1,2,3,5}:{(186,1),(187,1),(270,1),(272,1)}
       231:{1,4,5,6}:{(189,1),(204,1),(273,1),(274,1),(303,1)}
       232:{1,4,6,7}:{(188,1),(189,1),(195,1),(205,1),(273,1),(400,1)}
       233:{1,3,4,6}:{(189,1),(190,1),(192,1),(206,1),(274,1),(276,1)}
       234:{2,4,5,7}:{(190,1),(193,1),(197,1),(276,1),(277,1),(282,1),(346,1)}
       235:{1,3,6,7}:{(191,1),(192,1),(198,1),(208,1),(278,1),(396,1)}
       236:{2,3,6}:{(192,1),(193,1),(276,1),(279,1)}
       237:{1,3,5,7}:{(193,1),(194,1),(200,1),(277,1),(279,1),(280,1)}
       238:{1,2,4,7}:{(194,1),(201,1),(280,1),(281,1)}
       239:{1,3,4,7}:{(195,1),(196,1),(198,1),(210,1),(282,1),(400,1),(411,1)}
       240:{2,4,6}:{(196,1),(197,1),(199,1),(282,1),(283,1)}
       241:{1,4,5}:{(197,1),(200,1),(283,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(278,1),(282,1),(285,1),(301,1),(346,1),(366,1)}
       243:{1,3,5,6}:{(199,1),(200,1),(279,1),(283,1),(285,1),(286,1),(347,1),(355,1)}
       244:{1,2,5}:{(200,1),(201,1)}
       245:{1,2,3,6}:{(201,1),(281,1),(287,1),(355,1)}
       246:{3,5,6,7}:{(202,1),(208,1),(289,1),(292,1)}
       247:{2,5,6,7}:{(203,1),(209,1),(291,1),(302,1),(346,1)}
       248:{2,4,5,7}:{(204,1),(205,1),(216,1),(273,1),(292,1),(302,1),(346,1)}
       249:{3,5,6}:{(204,1),(206,1),(292,1)}
       250:{3,4,6,7}:{(205,1),(206,1),(208,1),(210,1),(292,1),(396,1),(411,1)}
       251:{2,3,4,6}:{(206,1),(207,1),(219,1),(276,1),(293,1),(295,1),(364,1),(398,1)}
       252:{1,3,4,5,7}:{(207,1),(212,1),(220,1),(277,1),(295,1),(296,1),(298,1),(306,1),(350,1),(361,1),(400,1),(401,1),(409,1),(410,1),(411,1),(412,1)}
       253:{2,3,6,7}:{(208,1),(209,1),(213,1),(297,1),(396,1)}
       254:{1,4,6,7}:{(209,1),(215,1),(291,1),(297,1)}
       255:{2,3,4,7}:{(210,1),(211,1),(213,1),(225,1),(282,1),(298,1),(366,1),(411,1)}
       256:{1,3,4,6}:{(211,1),(212,1),(214,1),(226,1),(283,1),(298,1),(299,1),(311,1),(355,1)}
       257:{2,4,5}:{(212,1),(299,1),(300,1)}
       258:{1,3,5,7}:{(213,1),(214,1),(215,1),(297,1),(298,1),(301,1)}
       259:{2,5,6}:{(214,1),(299,1),(301,1)}
       260:{1,3,5,7}:{(216,1),(217,1),(218,1),(292,1),(302,1)}
       261:{2,5,6}:{(217,1),(219,1),(302,1),(303,1)}
       262:{2,4,6,7}:{(218,1),(219,1),(221,1),(225,1),(302,1),(304,1)}
       263:{1,4,6}:{(219,1),(220,1),(222,1),(303,1)}
       264:{1,2,4,5,7}:{(220,1),(223,1),(227,1),(296,1),(305,1),(306,1),(309,1),(310,1),(367,1),(371,1),(400,1),(401,1)}
       265:{1,3,6,7}:{(221,1),(222,1),(228,1),(304,1),(307,1)}
       266:{1,2,6}:{(222,1),(223,1)}
       267:{1,2,3,5,7}:{(223,1),(224,1),(230,1),(306,1),(308,1),(309,1),(371,1)}
       268:{1,4,7}:{(225,1),(226,1),(228,1)}
       269:{1,2,4,6}:{(226,1),(227,1),(229,1),(299,1),(310,1),(311,1)}
       270:{1,3,5}:{(227,1),(300,1),(311,1),(312,1)}
       271:{1,2,5,7}:{(228,1),(229,1),(301,1),(307,1),(310,1)}
       272:{1,2,4}:{(230,1),(312,1)}
       273:{1,4,5,7}:{(231,1),(232,1),(248,1),(313,1),(339,1)}
       274:{1,3,5,6}:{(231,1),(233,1),(249,1),(313,1),(314,1)}
       275:{1,3,4,6,7}:{(232,1),(233,1),(235,1),(239,1),(250,1),(313,1),(315,1)}
       276:{2,4,6}:{(233,1),(234,1),(236,1),(314,1),(316,1)}
       277:{1,4,5,7}:{(234,1),(237,1),(241,1),(316,1),(321,1),(372,1)}
       278:{2,3,6,7}:{(235,1),(236,1),(242,1),(315,1),(318,1),(335,1)}
       279:{1,3,6}:{(236,1),(237,1),(316,1),(319,1)}
       280:{1,2,5,7}:{(237,1),(238,1),(244,1),(319,1)}
       281:{1,2,3,7}:{(238,1),(245,1),(378,1)}
       282:{2,4,7}:{(239,1),(240,1),(242,1),(321,1)}
       283:{1,4,6}:{(240,1),(241,1),(243,1),(321,1)}
       284:{1,2,4,5}:{(241,1),(244,1),(257,1),(322,1),(323,1),(325,1)}
       285:{1,3,5,7}:{(242,1),(243,1),(318,1),(321,1),(324,1),(372,1),(378,1)}
       286:{1,2,5,6}:{(243,1),(244,1),(259,1),(319,1),(322,1),(324,1)}
       287:{1,2,3,5}:{(244,1),(245,1),(323,1),(325,1)}
       288:{3,4,5,6}:{(249,1),(326,1),(327,1),(406,1)}
       289:{3,4,6,7}:{(246,1),(326,1),(328,1)}
       290:{2,3,5,6,7}:{(246,1),(247,1),(253,1),(328,1),(329,1),(330,1)}
       291:{1,5,6,7}:{(247,1),(254,1),(339,1),(372,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(261,1),(314,1),(327,1),(330,1),(331,1)}
       294:{2,3,4,6,7}:{(250,1),(251,1),(253,1),(255,1),(262,1),(315,1),(328,1),(330,1),(332,1),(384,1),(407,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(263,1),(316,1),(331,1),(333,1),(342,1),(375,1),(387,1),(403,1),(406,1)}
       296:{2,4,5,7}:{(252,1),(257,1),(333,1),(334,1),(336,1),(382,1),(407,1),(408,1)}
       297:{1,3,6,7}:{(253,1),(254,1),(258,1),(335,1)}
       298:{1,3,4,7}:{(255,1),(256,1),(258,1),(268,1),(321,1),(336,1),(345,1),(378,1)}
       299:{2,4,6}:{(256,1),(257,1),(259,1),(336,1),(337,1)}
       300:{2,3,5}:{(257,1),(270,1),(323,1),(337,1),(338,1)}
       301:{2,5,7}:{(258,1),(259,1),(335,1),(336,1)}
       302:{2,5,7}:{(260,1),(261,1),(262,1),(339,1)}
       303:{1,5,6}:{(261,1),(263,1),(339,1)}
       304:{1,4,6,7}:{(262,1),(263,1),(265,1),(268,1),(339,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(266,1),(333,1),(340,1),(342,1),(387,1)}
       306:{1,3,5,7}:{(264,1),(270,1),(334,1),(342,1),(343,1),(345,1),(388,1)}
       307:{1,2,6,7}:{(265,1),(266,1),(271,1),(335,1)}
       308:{1,2,3,6}:{(266,1),(267,1),(342,1),(344,1)}
       309:{1,2,4,7}:{(267,1),(272,1),(343,1),(344,1)}
       310:{1,2,4,7}:{(268,1),(269,1),(271,1),(336,1),(345,1)}
       311:{1,3,6}:{(269,1),(270,1),(337,1),(345,1)}
       312:{1,3,4}:{(270,1),(272,1),(338,1)}
       313:{1,3,5,7}:{(273,1),(274,1),(275,1),(292,1),(346,1)}
       314:{2,5,6}:{(274,1),(276,1),(346,1),(347,1)}
       315:{2,4,6,7}:{(275,1),(276,1),(278,1),(282,1),(346,1),(348,1)}
       316:{1,4,6}:{(276,1),(277,1),(279,1),(347,1)}
       317:{1,2,4,5,7}:{(277,1),(280,1),(284,1),(296,1),(349,1),(350,1),(353,1),(354,1),(389,1),(393,1),(409,1),(410,1)}
       318:{1,3,6,7}:{(278,1),(279,1),(285,1),(348,1),(351,1)}
       319:{1,2,6}:{(279,1),(280,1)}
       320:{1,2,3,5,7}:{(280,1),(281,1),(287,1),(350,1),(352,1),(353,1),(393,1)}
       321:{1,4,7}:{(282,1),(283,1),(285,1)}
       322:{1,2,4,6}:{(283,1),(284,1),(286,1),(299,1),(354,1),(355,1)}
       323:{1,3,5}:{(284,1),(300,1),(355,1),(356,1)}
       324:{1,2,5,7}:{(285,1),(286,1),(301,1),(351,1),(354,1)}
       325:{1,2,4}:{(287,1),(356,1)}
       326:{3,4,5,7}:{(288,1),(289,1),(292,1),(357,1),(411,1)}
       327:{2,4,5,6}:{(288,1),(293,1),(357,1),(358,1),(398,1)}
       328:{2,4,6,7}:{(289,1),(290,1),(357,1),(359,1)}
       329:{1,3,5,6,7}:{(290,1),(291,1),(297,1),(359,1),(360,1),(361,1),(396,1)}
       330:{2,3,5,7}:{(292,1),(293,1),(294,1),(302,1),(346,1),(357,1),(361,1)}
       331:{1,3,5,6}:{(293,1),(295,1),(303,1),(347,1),(358,1),(361,1),(362,1),(395,1)}
       332:{1,3,4,6,7}:{(294,1),(295,1),(297,1),(298,1),(304,1),(348,1),(359,1),(361,1),(363,1),(369,1),(391,1),(396,1),(400,1),(409,1),(411,1)}
       333:{2,4,6}:{(295,1),(296,1),(362,1),(364,1)}
       334:{2,3,5,7}:{(296,1),(300,1),(306,1),(350,1),(364,1),(365,1),(366,1),(399,1)}
       335:{2,6,7}:{(297,1),(301,1)}
       336:{2,4,7}:{(298,1),(299,1),(301,1),(366,1)}
       337:{2,3,6}:{(299,1),(300,1),(311,1),(355,1),(366,1)}
       338:{2,3,4}:{(300,1),(312,1),(356,1)}
       339:{1,5,7}:{(302,1),(303,1),(304,1)}
       340:{1,2,5,6}:{(303,1),(305,1),(362,1),(367,1),(368,1),(371,1)}
       341:{1,2,4,6,7}:{(304,1),(305,1),(307,1),(310,1),(363,1),(367,1),(369,1),(400,1)}
       342:{1,3,6}:{(305,1),(306,1),(364,1)}
       343:{1,3,4,7}:{(306,1),(309,1),(312,1),(365,1),(370,1),(400,1)}
       344:{1,2,4,6}:{(308,1),(309,1),(370,1),(371,1)}
       345:{1,3,7}:{(310,1),(311,1),(366,1)}
       346:{2,5,7}:{(313,1),(314,1),(315,1),(372,1)}
       347:{1,5,6}:{(314,1),(316,1),(372,1)}
       348:{1,4,6,7}:{(315,1),(316,1),(318,1),(321,1),(372,1)}
       349:{1,2,4,6}:{(316,1),(317,1),(319,1),(333,1),(373,1),(375,1),(403,1)}
       350:{1,3,5,7}:{(317,1),(323,1),(334,1),(375,1),(376,1),(378,1),(404,1)}
       351:{1,2,6,7}:{(318,1),(319,1),(324,1),(335,1)}
       352:{1,2,3,6}:{(319,1),(320,1),(375,1),(377,1)}
       353:{1,2,4,7}:{(320,1),(325,1),(376,1),(377,1)}
       354:{1,2,4,7}:{(321,1),(322,1),(324,1),(336,1),(378,1)}
       355:{1,3,6}:{(322,1),(323,1),(337,1),(378,1)}
       356:{1,3,4}:{(323,1),(325,1),(338,1)}
       357:{2,4,5,7}:{(326,1),(327,1),(328,1),(330,1),(379,1),(407,1)}
       358:{1,4,5,6}:{(327,1),(331,1),(379,1),(380,1),(387,1),(403,1)}
       359:{1,4,6,7}:{(328,1),(329,1),(379,1),(381,1)}
       360:{2,5,6,7}:{(329,1),(335,1),(381,1),(382,1)}
       361:{1,3,5,7}:{(330,1),(331,1),(332,1),(339,1),(372,1),(379,1),(382,1),(405,1)}
       362:{2,5,6}:{(331,1),(333,1),(382,1)}
       363:{2,4,6,7}:{(332,1),(333,1),(335,1),(336,1),(382,1),(384,1),(407,1)}
       364:{2,3,6}:{(333,1),(334,1),(342,1),(375,1)}
       365:{2,3,4,7}:{(334,1),(338,1),(343,1),(376,1),(385,1),(407,1)}
       366:{2,3,7}:{(336,1),(337,1),(345,1),(378,1)}
       367:{1,2,5,7}:{(339,1),(340,1),(341,1),(382,1),(386,1)}
       368:{1,3,5,6}:{(340,1),(342,1),(383,1),(386,1),(387,1),(388,1)}
       369:{1,3,6,7}:{(341,1),(342,1),(345,1),(384,1),(386,1)}
       370:{1,3,4,6}:{(342,1),(343,1),(344,1),(385,1),(387,1),(388,1)}
       371:{1,2,5}:{(344,1),(388,1)}
       372:{1,5,7}:{(346,1),(347,1),(348,1)}
       373:{1,2,5,6}:{(347,1),(349,1),(362,1),(389,1),(390,1),(393,1)}
       374:{1,2,4,6,7}:{(348,1),(349,1),(351,1),(354,1),(363,1),(389,1),(391,1),(409,1)}
       375:{1,3,6}:{(349,1),(350,1),(364,1)}
       376:{1,3,4,7}:{(350,1),(353,1),(356,1),(365,1),(392,1),(409,1)}
       377:{1,2,4,6}:{(352,1),(353,1),(392,1),(393,1)}
       378:{1,3,7}:{(354,1),(355,1),(366,1)}
       379:{1,4,5,7}:{(357,1),(358,1),(359,1),(361,1),(394,1),(400,1),(409,1)}
       380:{2,4,5,6}:{(358,1),(362,1),(394,1),(395,1),(398,1)}
       381:{2,4,6,7}:{(359,1),(360,1),(394,1),(396,1)}
       382:{2,5,7}:{(361,1),(362,1),(363,1)}
       383:{2,3,5,6}:{(362,1),(364,1),(368,1),(390,1),(395,1),(397,1),(398,1),(399,1)}
       384:{2,3,6,7}:{(363,1),(364,1),(366,1),(369,1),(391,1),(396,1),(397,1)}
       385:{2,3,4,6}:{(364,1),(365,1),(370,1),(392,1),(398,1),(399,1)}
       386:{1,3,5,7}:{(367,1),(368,1),(369,1),(397,1),(400,1)}
       387:{1,4,6}:{(368,1),(398,1),(400,1),(401,1)}
       388:{1,3,5}:{(370,1),(371,1),(399,1),(401,1)}
       389:{1,2,5,7}:{(372,1),(373,1),(374,1),(382,1),(402,1)}
       390:{1,3,5,6}:{(373,1),(375,1),(383,1),(402,1),(403,1),(404,1)}
       391:{1,3,6,7}:{(374,1),(375,1),(378,1),(384,1),(402,1)}
       392:{1,3,4,6}:{(375,1),(376,1),(377,1),(385,1),(403,1),(404,1)}
       393:{1,2,5}:{(377,1),(404,1)}
       394:{2,4,5,7}:{(379,1),(380,1),(381,1),(382,1),(405,1),(407,1)}
       395:{3,5,6}:{(380,1),(405,1),(406,1)}
       396:{3,6,7}:{(381,1),(405,1)}
       397:{2,3,5,7}:{(382,1),(383,1),(384,1),(386,1),(402,1),(405,1),(407,1)}
       398:{2,4,6}:{(383,1),(387,1),(403,1),(406,1),(407,1),(408,1)}
       399:{2,3,5}:{(385,1),(388,1),(404,1),(408,1)}
       400:{1,4,7}:{(386,1),(387,1),(407,1)}
       401:{1,4,5}:{(387,1),(388,1),(408,1)}
       402:{1,3,5,7}:{(389,1),(390,1),(391,1),(397,1),(409,1)}
       403:{1,4,6}:{(390,1),(398,1),(409,1),(410,1)}
       404:{1,3,5}:{(392,1),(393,1),(399,1),(410,1)}
       405:{3,5,7}:{(394,1),(395,1),(396,1),(411,1)}
       406:{3,4,6}:{(395,1),(398,1),(411,1),(412,1)}
       407:{2,4,7}:{(397,1),(398,1),(400,1),(409,1),(411,1)}
       408:{2,4,5}:{(398,1),(399,1),(401,1),(410,1),(412,1)}
       409:{1,4,7}:{(402,1),(403,1),(407,1)}
       410:{1,4,5}:{(403,1),(404,1),(408,1)}
       411:{3,4,7}:{(405,1),(406,1),(407,1)}
       412:{3,4,5}:{(406,1),(408,1)}

2499 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(73,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(57,1),(84,1),(90,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(55,1),(97,1)}
         7:{1,2,3,7}:{(2,1),(20,1),(62,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(60,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(57,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(67,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(110,1),(131,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(67,1),(80,1),(105,1),(110,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(78,1),(115,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(37,1),(40,1),(80,1),(81,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(36,1),(38,1)}
        21:{1,2,5}:{(8,1),(37,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(80,1)}
        24:{1,2,3,7}:{(11,1),(43,1),(89,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(87,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(84,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(47,1),(48,1),(97,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(49,1),(123,1),(137,1)}
        30:{2,3,4,6}:{(15,1),(19,1),(42,1),(50,1),(51,1),(55,1),(97,1),(98,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(47,1),(52,1),(53,1),(91,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(48,1),(53,1),(54,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(55,1)}
        34:{2,4,6}:{(16,1),(17,1),(52,1),(55,1),(56,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(53,1),(56,1),(62,1),(89,1),(102,1),(120,1),(123,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(50,1),(58,1),(62,1),(102,1)}
        37:{1,3,5}:{(19,1),(21,1),(51,1),(57,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(58,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(52,1),(59,1),(60,1),(61,1)}
        40:{1,3,6}:{(22,1),(23,1),(55,1),(62,1)}
        41:{1,2,4,7}:{(23,1),(56,1),(61,1),(62,1),(102,1)}
        42:{1,3,4,6}:{(25,1),(26,1),(30,1),(63,1),(64,1),(67,1),(105,1),(106,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(63,1),(65,1)}
        44:{1,2,5}:{(25,1),(64,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(67,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(66,1),(67,1),(68,1),(105,1)}
        47:{1,4,5,6}:{(28,1),(31,1),(69,1),(70,1),(80,1),(105,1),(117,1),(129,1)}
        48:{2,4,5,7}:{(28,1),(29,1),(32,1),(70,1),(71,1),(115,1),(134,1)}
        49:{3,4,6,7}:{(29,1),(71,1),(72,1)}
        50:{2,3,4,7}:{(30,1),(36,1),(63,1),(74,1),(78,1),(115,1)}
        51:{2,3,5}:{(30,1),(37,1),(64,1),(73,1)}
        52:{2,5,6}:{(31,1),(34,1),(76,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(35,1),(70,1),(76,1),(77,1),(111,1)}
        54:{2,3,6,7}:{(32,1),(71,1),(77,1)}
        55:{2,3,6}:{(33,1),(34,1),(40,1),(67,1),(78,1)}
        56:{2,4,7}:{(34,1),(35,1),(76,1),(78,1)}
        57:{1,4,5}:{(37,1),(73,1),(80,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(79,1),(81,1)}
        59:{1,3,5,6}:{(37,1),(39,1),(40,1),(75,1),(80,1),(81,1),(82,1),(117,1)}
        60:{1,2,6}:{(38,1),(81,1)}
        61:{1,2,5,7}:{(39,1),(41,1),(76,1),(82,1),(83,1)}
        62:{1,3,7}:{(40,1),(41,1),(78,1)}
        63:{1,3,4,7}:{(42,1),(43,1),(50,1),(85,1),(89,1),(120,1)}
        64:{1,3,5}:{(42,1),(44,1),(51,1),(84,1)}
        65:{1,2,5,7}:{(43,1),(44,1),(85,1),(87,1)}
        66:{1,2,5,6}:{(44,1),(46,1),(52,1),(86,1),(87,1),(88,1)}
        67:{1,3,6}:{(45,1),(46,1),(55,1),(89,1)}
        68:{1,2,4,7}:{(46,1),(56,1),(88,1),(89,1),(120,1)}
        69:{2,4,5,6}:{(47,1),(52,1),(91,1),(92,1),(97,1),(126,1),(136,1)}
        70:{1,4,5,7}:{(47,1),(48,1),(53,1),(92,1),(93,1),(102,1),(120,1),(128,1),(135,1)}
        71:{2,4,6,7}:{(48,1),(49,1),(54,1),(93,1),(94,1)}
        72:{3,5,6,7}:{(49,1),(94,1),(95,1),(137,1)}
        73:{2,4,5}:{(51,1),(57,1),(84,1),(90,1),(97,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(58,1),(85,1),(96,1),(98,1)}
        75:{2,3,5,6}:{(51,1),(52,1),(55,1),(59,1),(86,1),(91,1),(97,1),(98,1),(99,1),(126,1)}
        76:{2,5,7}:{(52,1),(53,1),(56,1),(100,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(93,1),(100,1),(124,1)}
        78:{2,3,7}:{(55,1),(56,1),(62,1),(89,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(96,1),(101,1),(102,1),(128,1)}
        80:{1,4,6}:{(57,1),(59,1),(97,1),(102,1)}
        81:{1,3,6}:{(58,1),(60,1),(98,1),(101,1)}
        82:{1,3,5,7}:{(59,1),(61,1),(62,1),(99,1),(102,1),(103,1),(128,1)}
        83:{1,2,6,7}:{(60,1),(61,1),(100,1),(103,1)}
        84:{1,4,5}:{(64,1),(73,1),(105,1)}
        85:{1,3,5,7}:{(63,1),(64,1),(65,1),(74,1),(104,1),(106,1)}
        86:{1,3,5,6}:{(64,1),(66,1),(67,1),(75,1),(105,1),(106,1),(107,1),(129,1)}
        87:{1,2,6}:{(65,1),(106,1)}
        88:{1,2,5,7}:{(66,1),(68,1),(76,1),(107,1),(108,1)}
        89:{1,3,7}:{(67,1),(68,1),(78,1)}
        90:{3,4,5}:{(73,1),(110,1)}
        91:{3,5,6}:{(69,1),(110,1),(111,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(76,1),(111,1),(112,1),(115,1),(134,1),(139,1)}
        93:{1,4,6,7}:{(70,1),(71,1),(77,1),(112,1),(113,1)}
        94:{2,5,6,7}:{(71,1),(72,1),(113,1),(134,1)}
        95:{4,5,6,7}:{(72,1),(139,1)}
        96:{2,4,5,7}:{(73,1),(74,1),(79,1),(104,1),(109,1),(114,1),(115,1),(134,1)}
        97:{2,4,6}:{(73,1),(75,1),(80,1),(105,1),(110,1),(115,1)}
        98:{2,3,6}:{(74,1),(81,1),(106,1),(114,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(78,1),(82,1),(107,1),(111,1),(115,1),(116,1),(134,1)}
       100:{2,6,7}:{(76,1),(77,1)}
       101:{1,4,6}:{(79,1),(81,1),(114,1),(117,1)}
       102:{1,4,7}:{(80,1),(82,1),(115,1)}
       103:{1,3,6,7}:{(81,1),(82,1),(83,1),(116,1),(118,1)}
       104:{1,4,5,7}:{(84,1),(85,1),(96,1),(119,1),(120,1),(135,1)}
       105:{1,4,6}:{(84,1),(86,1),(97,1),(120,1)}
       106:{1,3,6}:{(85,1),(87,1),(98,1),(119,1)}
       107:{1,3,5,7}:{(86,1),(88,1),(89,1),(99,1),(120,1),(121,1),(135,1)}
       108:{1,2,6,7}:{(87,1),(88,1),(100,1),(121,1)}
       109:{3,4,5,7}:{(90,1),(96,1),(122,1),(123,1),(137,1)}
       110:{3,4,6}:{(90,1),(91,1),(97,1),(123,1)}
       111:{3,5,7}:{(91,1),(92,1),(123,1),(124,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(100,1),(124,1),(125,1),(138,1)}
       113:{1,5,6,7}:{(93,1),(94,1),(125,1),(128,1),(135,1)}
       114:{2,4,6}:{(96,1),(98,1),(101,1),(119,1),(122,1),(126,1)}
       115:{2,4,7}:{(97,1),(99,1),(102,1),(120,1),(123,1)}
       116:{2,3,6,7}:{(98,1),(99,1),(100,1),(103,1),(121,1),(124,1),(127,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(106,1),(114,1),(129,1)}
       120:{1,4,7}:{(105,1),(107,1),(115,1)}
       121:{1,3,6,7}:{(106,1),(107,1),(108,1),(116,1),(130,1)}
       122:{3,4,6}:{(109,1),(114,1),(131,1)}
       123:{3,4,7}:{(110,1),(111,1),(115,1)}
       124:{3,6,7}:{(111,1),(112,1)}
       125:{2,5,6,7}:{(112,1),(113,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(131,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(132,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6}:{(122,1),(126,1),(136,1),(137,1)}
       132:{3,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(137,1),(138,1)}
       133:{3,5,6,7}:{(124,1),(125,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(137,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(131,1),(139,1)}
       137:{3,5,7}:{(131,1),(132,1),(134,1),(139,1)}
       138:{4,6,7}:{(133,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2500 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2501 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2502 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2503 :   0:{1,2,3,5,6}:{(1,1),(2,1),(10,1),(32,1),(42,1),(44,1),(46,1),(96,1),(108,1),(192,1),(194,1),(284,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(22,1),(24,1),(73,1),(155,1),(241,1),(326,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(59,1),(62,1),(325,1)}
         3:{1,3,4,6}:{(2,1),(8,1),(9,1),(10,1),(44,1),(95,1),(192,1)}
         4:{1,2,3,6,7}:{(1,1),(11,1),(44,1),(96,1),(114,1),(205,1),(285,1),(293,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(102,1),(363,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(33,1),(194,1),(283,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(51,1),(103,1),(216,1),(218,1),(304,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(62,1),(72,1),(78,1),(131,1),(165,1),(229,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(19,1),(22,1),(241,1)}
        10:{1,3,5}:{(3,1),(6,1),(20,1)}
        11:{1,2,4,6,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(143,1),(149,1),(334,1),(399,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(24,1),(25,1),(61,1),(74,1)}
        13:{1,2,4,5,6}:{(6,1),(23,1),(25,1),(26,1),(29,1),(62,1),(84,1),(137,1),(145,1),(148,1),(150,1),(224,1),(244,1),(261,1),(317,1),(325,1)}
        14:{2,4,5,6}:{(7,1),(28,1),(29,1),(30,1),(62,1),(84,1),(148,1)}
        15:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(64,1),(85,1),(151,1),(264,1),(265,1),(344,1)}
        16:{1,3,4,5}:{(10,1),(33,1),(35,1),(283,1),(301,1),(352,1)}
        17:{1,2,3,6}:{(32,1),(36,1),(37,1),(192,1)}
        18:{1,3,4,6}:{(8,1),(37,1),(38,1),(39,1),(95,1),(100,1),(110,1),(192,1)}
        19:{2,3,4,7}:{(8,1),(9,1),(38,1),(41,1),(102,1),(213,1),(274,1)}
        20:{2,3,5}:{(8,1),(10,1),(33,1),(39,1)}
        21:{1,3,4,6,7}:{(9,1),(11,1),(40,1),(43,1),(44,1),(115,1),(190,1),(285,1),(294,1),(363,1),(371,1),(373,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(12,1),(41,1),(44,1)}
        23:{1,3,5,6}:{(10,1),(13,1),(35,1),(42,1),(44,1),(45,1),(192,1),(304,1),(355,1)}
        24:{1,2,5,7}:{(11,1),(43,1),(46,1),(194,1),(200,1)}
        25:{1,2,4,6}:{(12,1),(44,1),(46,1),(101,1),(115,1)}
        26:{1,2,4,5,7}:{(13,1),(45,1),(47,1),(53,1),(102,1),(125,1),(187,1),(196,1),(200,1),(201,1),(269,1),(289,1),(305,1),(356,1),(363,1)}
        27:{2,3,4,5}:{(33,1),(48,1),(50,1),(180,1),(301,1)}
        28:{2,3,5,6}:{(14,1),(50,1),(51,1),(52,1),(304,1)}
        29:{1,4,5,6}:{(14,1),(51,1),(53,1),(100,1),(197,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(52,1),(53,1),(54,1),(102,1),(125,1),(200,1)}
        31:{1,3,4,6,7}:{(15,1),(54,1),(55,1),(126,1),(221,1),(222,1),(308,1)}
        32:{1,2,3,5}:{(17,1),(59,1),(67,1),(141,1)}
        33:{2,4,5}:{(16,1),(20,1),(60,1),(62,1)}
        34:{1,3,4,5,7}:{(16,1),(22,1),(61,1),(63,1),(64,1),(74,1),(151,1),(159,1)}
        35:{1,3,4,6}:{(16,1),(23,1),(62,1),(64,1),(325,1),(341,1),(384,1)}
        36:{1,2,3,7}:{(17,1),(66,1),(241,1)}
        37:{1,2,4,6}:{(17,1),(18,1),(59,1),(66,1),(67,1),(154,1)}
        38:{1,3,4,7}:{(18,1),(19,1),(66,1),(69,1),(147,1),(241,1)}
        39:{1,3,5}:{(18,1),(20,1),(60,1),(67,1)}
        40:{2,3,4,6,7}:{(19,1),(21,1),(68,1),(71,1),(72,1),(149,1),(160,1),(163,1),(227,1),(250,1),(257,1),(260,1),(316,1),(336,1),(339,1),(342,1),(385,1)}
        41:{2,3,5,7}:{(19,1),(20,1),(22,1),(61,1),(69,1),(72,1)}
        42:{2,3,5,6}:{(20,1),(23,1),(62,1),(70,1),(72,1),(73,1),(84,1),(148,1),(165,1),(224,1),(229,1)}
        43:{1,3,5,7}:{(21,1),(24,1),(71,1),(74,1),(75,1),(239,1),(398,1)}
        44:{1,3,6}:{(22,1),(25,1),(72,1)}
        45:{1,3,5,7}:{(23,1),(26,1),(64,1),(73,1),(76,1),(241,1),(344,1),(387,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(75,1),(148,1),(399,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(76,1),(77,1),(87,1),(149,1),(162,1),(172,1),(236,1),(266,1),(311,1),(381,1)}
        48:{1,3,4,5}:{(27,1),(60,1),(79,1),(81,1),(141,1)}
        49:{2,3,4,5,7}:{(27,1),(61,1),(80,1),(82,1),(83,1),(159,1),(171,1),(228,1),(254,1),(314,1),(340,1),(385,1),(404,1)}
        50:{2,3,4,6}:{(27,1),(28,1),(62,1),(81,1),(83,1),(229,1),(341,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(81,1),(84,1),(85,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(83,1),(85,1),(86,1),(344,1)}
        53:{1,4,5,7}:{(29,1),(30,1),(85,1),(87,1),(147,1),(247,1)}
        54:{2,4,6,7}:{(30,1),(31,1),(86,1),(87,1),(88,1),(172,1)}
        55:{1,3,5,6,7}:{(31,1),(88,1),(89,1),(151,1),(176,1)}
        56:{2,3,4,5}:{(33,1),(90,1),(92,1),(118,1),(352,1)}
        57:{1,3,4,5,6}:{(35,1),(93,1),(94,1),(103,1),(177,1),(277,1),(279,1),(355,1)}
        58:{1,2,3,5,7}:{(32,1),(36,1),(96,1),(97,1),(107,1),(191,1),(194,1),(293,1),(360,1),(370,1)}
        59:{1,2,4}:{(32,1),(95,1)}
        60:{1,4,5}:{(33,1),(39,1),(100,1)}
        61:{2,4,5,7}:{(33,1),(34,1),(41,1),(99,1),(101,1),(102,1),(200,1)}
        62:{2,4,6}:{(33,1),(35,1),(42,1),(100,1),(102,1)}
        63:{1,3,4,6}:{(34,1),(44,1),(101,1),(103,1),(115,1),(209,1)}
        64:{1,3,4,7}:{(35,1),(45,1),(102,1),(363,1),(376,1),(412,1)}
        65:{1,2,3,6,7}:{(36,1),(96,1),(105,1),(106,1),(285,1),(296,1),(372,1),(423,1)}
        66:{1,2,4,7}:{(36,1),(37,1),(38,1),(107,1)}
        67:{1,2,5}:{(37,1),(39,1)}
        68:{1,3,4,6,7}:{(38,1),(40,1),(106,1),(109,1),(110,1),(190,1),(198,1),(202,1),(207,1),(285,1),(296,1),(363,1)}
        69:{1,3,5,7}:{(38,1),(39,1),(41,1),(99,1),(107,1),(110,1)}
        70:{1,3,5,6}:{(39,1),(42,1),(100,1),(108,1),(110,1),(111,1),(192,1),(197,1)}
        71:{2,3,5,7}:{(40,1),(43,1),(109,1),(112,1),(113,1),(200,1),(211,1),(272,1),(292,1),(369,1)}
        72:{2,3,6}:{(41,1),(44,1),(101,1),(110,1)}
        73:{2,3,5,7}:{(42,1),(45,1),(102,1),(111,1),(114,1),(125,1),(200,1),(213,1),(269,1),(274,1)}
        74:{1,4,5,7}:{(43,1),(112,1),(115,1),(283,1),(363,1)}
        75:{1,3,5,6}:{(43,1),(44,1),(46,1),(113,1),(115,1),(368,1),(371,1)}
        76:{1,3,6,7}:{(44,1),(45,1),(47,1),(114,1),(308,1),(408,1)}
        77:{1,2,5,6,7}:{(46,1),(47,1),(116,1),(128,1),(200,1),(220,1),(281,1),(289,1),(349,1),(423,1)}
        78:{2,3,4}:{(95,1),(118,1)}
        79:{2,4,5}:{(48,1),(118,1),(120,1)}
        80:{1,3,4,5,7}:{(48,1),(49,1),(99,1),(119,1),(121,1),(122,1),(191,1),(217,1),(283,1),(298,1),(301,1),(363,1),(374,1),(376,1),(426,1)}
        81:{1,3,4,6}:{(48,1),(50,1),(51,1),(100,1),(120,1),(122,1),(192,1)}
        82:{2,3,4,6}:{(49,1),(101,1),(121,1),(123,1),(209,1),(273,1),(299,1),(353,1)}
        83:{2,3,4,7}:{(50,1),(52,1),(102,1),(122,1),(274,1),(376,1)}
        84:{2,5,6}:{(51,1),(120,1),(125,1)}
        85:{1,3,5,7}:{(51,1),(52,1),(53,1),(122,1),(125,1),(126,1)}
        86:{2,3,6,7}:{(52,1),(54,1),(126,1),(308,1)}
        87:{1,4,6,7}:{(53,1),(54,1),(126,1),(128,1)}
        88:{2,5,6,7}:{(54,1),(55,1),(128,1),(200,1)}
        89:{1,4,5,6,7}:{(55,1),(129,1),(201,1),(221,1),(310,1)}
        90:{1,3,4,5}:{(56,1),(60,1),(132,1),(134,1),(141,1)}
        91:{2,3,4,5,7}:{(56,1),(61,1),(133,1),(135,1),(136,1),(159,1),(164,1),(235,1),(254,1),(258,1),(342,1),(383,1),(433,1)}
        92:{2,3,4,6}:{(56,1),(62,1),(130,1),(134,1),(136,1),(165,1),(384,1)}
        93:{2,4,5,6}:{(57,1),(62,1),(130,1),(137,1),(138,1),(148,1),(224,1)}
        94:{1,3,4,5,7}:{(57,1),(64,1),(138,1),(139,1),(151,1),(225,1),(320,1),(321,1),(387,1)}
        95:{1,3,4}:{(59,1),(78,1),(131,1),(141,1)}
        96:{1,2,3,6}:{(58,1),(143,1),(154,1),(240,1),(399,1)}
        97:{1,2,4,7}:{(58,1),(59,1),(140,1),(143,1),(391,1)}
        98:{1,2,4,5}:{(59,1),(60,1),(67,1),(79,1),(132,1),(141,1),(145,1)}
        99:{1,4,5,7}:{(60,1),(61,1),(69,1),(146,1),(147,1),(247,1)}
       100:{1,4,6}:{(60,1),(62,1),(70,1),(147,1)}
       101:{2,4,6}:{(61,1),(63,1),(72,1),(146,1),(148,1)}
       102:{2,4,7}:{(62,1),(64,1),(73,1),(147,1)}
       103:{1,3,5,6}:{(63,1),(148,1),(150,1),(151,1),(248,1)}
       104:{1,3,4,6,7}:{(63,1),(64,1),(76,1),(149,1),(151,1),(162,1),(257,1)}
       105:{1,2,3,5,7}:{(65,1),(142,1),(152,1),(153,1),(251,1),(326,1),(397,1),(439,1),(453,1)}
       106:{1,2,4,6,7}:{(65,1),(66,1),(68,1),(143,1),(152,1),(153,1),(154,1),(252,1),(339,1)}
       107:{1,2,5,7}:{(66,1),(67,1),(69,1),(154,1)}
       108:{1,2,5,6}:{(67,1),(70,1),(84,1),(145,1),(154,1),(155,1),(224,1)}
       109:{1,3,5,7}:{(68,1),(71,1),(153,1),(156,1),(157,1),(239,1),(247,1)}
       110:{1,3,6}:{(69,1),(72,1),(146,1),(154,1)}
       111:{1,3,5,7}:{(70,1),(73,1),(147,1),(155,1),(158,1),(241,1),(247,1)}
       112:{2,4,5,7}:{(71,1),(74,1),(156,1),(159,1),(160,1),(258,1),(314,1),(342,1),(385,1)}
       113:{2,3,5,6}:{(71,1),(72,1),(75,1),(148,1),(157,1),(160,1),(248,1),(332,1),(336,1)}
       114:{2,3,6,7}:{(72,1),(73,1),(76,1),(149,1),(158,1),(172,1),(311,1)}
       115:{1,4,6}:{(74,1),(75,1),(160,1)}
       116:{1,3,5,6,7}:{(75,1),(76,1),(77,1),(151,1),(161,1),(162,1),(326,1),(398,1),(400,1)}
       117:{2,3,4,7}:{(78,1),(140,1),(163,1),(164,1),(342,1),(401,1)}
       118:{2,3,5}:{(78,1),(79,1),(141,1),(165,1)}
       119:{2,4,5,7}:{(79,1),(80,1),(164,1),(166,1),(167,1),(258,1),(262,1),(342,1),(402,1),(441,1)}
       120:{2,4,6}:{(79,1),(81,1),(84,1),(165,1),(167,1)}
       121:{1,3,4,6}:{(80,1),(82,1),(146,1),(166,1),(168,1),(240,1),(325,1),(338,1),(341,1)}
       122:{1,3,4,7}:{(81,1),(83,1),(85,1),(147,1),(167,1),(241,1)}
       123:{2,3,5,6}:{(82,1),(148,1),(168,1),(170,1),(171,1),(248,1),(332,1)}
       124:{2,3,4,6,7}:{(82,1),(83,1),(86,1),(149,1),(169,1),(171,1),(174,1),(257,1),(316,1),(339,1),(347,1),(385,1),(404,1)}
       125:{2,5,7}:{(84,1),(85,1),(167,1),(172,1)}
       126:{1,3,6,7}:{(85,1),(86,1),(87,1),(172,1)}
       127:{2,3,5,6,7}:{(86,1),(88,1),(171,1),(173,1),(174,1),(176,1),(268,1),(347,1)}
       128:{1,5,6,7}:{(87,1),(88,1),(247,1)}
       129:{2,4,5,6,7}:{(88,1),(89,1),(174,1),(175,1),(176,1),(249,1),(266,1),(268,1)}
       130:{2,3,5,6}:{(92,1),(93,1),(177,1),(178,1),(355,1)}
       131:{2,3,4}:{(95,1),(180,1)}
       132:{2,4,5}:{(90,1),(180,1),(182,1)}
       133:{1,3,4,5,7}:{(90,1),(91,1),(99,1),(181,1),(183,1),(184,1),(191,1),(278,1),(283,1),(298,1),(352,1),(363,1),(410,1),(412,1),(445,1)}
       134:{1,3,4,6}:{(90,1),(92,1),(100,1),(177,1),(182,1),(184,1),(192,1)}
       135:{2,3,4,6}:{(91,1),(101,1),(183,1),(185,1),(209,1),(212,1),(299,1),(302,1)}
       136:{2,3,4,7}:{(92,1),(102,1),(178,1),(184,1),(213,1),(412,1)}
       137:{1,4,5,6}:{(93,1),(100,1),(177,1),(187,1),(197,1)}
       138:{2,4,5,7}:{(93,1),(94,1),(102,1),(178,1),(187,1),(188,1),(200,1),(269,1)}
       139:{1,3,4,6,7}:{(94,1),(188,1),(189,1),(270,1),(350,1),(351,1),(408,1)}
       140:{1,3,4,7}:{(95,1),(97,1),(117,1),(179,1),(190,1),(191,1),(363,1),(417,1)}
       141:{1,3,5}:{(95,1),(98,1),(118,1),(180,1),(192,1)}
       142:{1,2,3,5,6}:{(96,1),(105,1),(193,1),(194,1),(204,1),(284,1),(287,1),(296,1),(360,1),(366,1),(421,1),(447,1)}
       143:{1,2,4,6}:{(96,1),(97,1),(190,1),(194,1)}
       144:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(107,1),(119,1),(181,1),(191,1),(194,1),(195,1),(196,1),(283,1),(289,1),(298,1),(363,1),(370,1),(418,1),(448,1)}
       145:{1,2,4,6}:{(98,1),(100,1),(108,1),(120,1),(182,1),(192,1),(196,1)}
       146:{1,4,6}:{(99,1),(101,1),(110,1),(197,1)}
       147:{1,4,7}:{(100,1),(102,1),(111,1)}
       148:{2,5,6}:{(101,1),(103,1),(197,1),(200,1)}
       149:{2,4,6,7}:{(101,1),(102,1),(104,1),(114,1),(198,1),(200,1)}
       150:{1,4,5,6}:{(103,1),(115,1),(199,1),(201,1),(368,1)}
       151:{1,3,5,7}:{(103,1),(104,1),(200,1),(201,1),(292,1)}
       152:{1,2,4,7}:{(105,1),(193,1),(202,1),(363,1),(420,1)}
       153:{1,2,5,7}:{(106,1),(109,1),(194,1),(204,1),(369,1)}
       154:{1,2,6}:{(107,1),(110,1)}
       155:{1,2,5,7}:{(108,1),(111,1),(125,1),(196,1),(205,1),(269,1)}
       156:{1,4,5,7}:{(109,1),(112,1),(207,1),(283,1),(363,1)}
       157:{1,3,5,6}:{(109,1),(110,1),(113,1),(197,1),(204,1),(207,1),(296,1)}
       158:{1,3,6,7}:{(110,1),(111,1),(114,1),(198,1),(205,1)}
       159:{3,4,5,7}:{(112,1),(209,1),(292,1),(301,1),(352,1),(376,1),(412,1)}
       160:{2,4,6}:{(112,1),(113,1),(115,1),(207,1),(209,1)}
       161:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(200,1),(208,1),(210,1),(220,1),(292,1),(303,1),(308,1),(349,1),(354,1),(369,1),(372,1),(408,1)}
       162:{1,4,6,7}:{(115,1),(116,1),(201,1),(210,1),(363,1)}
       163:{2,3,4,6}:{(117,1),(190,1),(211,1),(212,1),(302,1)}
       164:{2,3,5,7}:{(117,1),(118,1),(119,1),(191,1),(211,1),(212,1),(213,1),(424,1),(449,1)}
       165:{2,3,6}:{(118,1),(120,1),(192,1),(213,1)}
       166:{2,4,6}:{(119,1),(121,1),(212,1),(214,1)}
       167:{2,4,7}:{(120,1),(122,1),(125,1),(213,1)}
       168:{1,3,5,6}:{(121,1),(123,1),(197,1),(214,1),(216,1),(217,1),(304,1),(368,1)}
       169:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(198,1),(215,1),(217,1),(221,1),(285,1),(308,1),(363,1),(373,1),(376,1),(380,1),(426,1)}
       170:{2,4,5,6}:{(123,1),(216,1),(218,1),(219,1),(353,1)}
       171:{2,3,5,7}:{(123,1),(124,1),(200,1),(217,1),(219,1),(292,1),(369,1)}
       172:{2,6,7}:{(125,1),(126,1)}
       173:{1,3,5,6,7}:{(126,1),(127,1),(128,1),(217,1),(220,1),(221,1),(308,1),(310,1),(380,1)}
       174:{2,4,6,7}:{(127,1),(219,1),(221,1),(222,1)}
       175:{1,4,5,6,7}:{(128,1),(129,1),(221,1),(223,1),(291,1)}
       176:{3,5,6,7}:{(129,1),(222,1),(292,1),(308,1)}
       177:{1,3,5,6}:{(130,1),(134,1),(137,1),(224,1),(225,1)}
       178:{2,3,5,7}:{(130,1),(136,1),(138,1),(225,1),(226,1),(387,1)}
       179:{2,3,4,7}:{(131,1),(140,1),(227,1),(228,1),(385,1),(430,1)}
       180:{2,3,5}:{(131,1),(132,1),(141,1),(229,1)}
       181:{2,4,5,7}:{(132,1),(133,1),(228,1),(230,1),(231,1),(314,1),(318,1),(385,1),(431,1),(452,1)}
       182:{2,4,6}:{(132,1),(134,1),(224,1),(229,1),(231,1)}
       183:{1,3,4,6}:{(133,1),(135,1),(146,1),(230,1),(232,1),(240,1),(325,1),(338,1),(384,1)}
       184:{1,3,4,7}:{(134,1),(136,1),(147,1),(225,1),(231,1),(241,1)}
       185:{2,3,5,6}:{(135,1),(148,1),(232,1),(234,1),(235,1),(248,1),(332,1)}
       186:{2,3,4,6,7}:{(135,1),(136,1),(149,1),(226,1),(233,1),(235,1),(257,1),(260,1),(313,1),(339,1),(342,1),(428,1),(433,1)}
       187:{1,4,5,7}:{(137,1),(138,1),(147,1),(225,1),(236,1),(247,1)}
       188:{2,4,6,7}:{(138,1),(139,1),(226,1),(236,1),(237,1),(311,1)}
       189:{1,3,5,6,7}:{(139,1),(151,1),(237,1),(238,1),(323,1)}
       190:{1,3,4,6}:{(140,1),(143,1),(163,1),(227,1),(239,1),(240,1),(325,1)}
       191:{1,3,5,7}:{(140,1),(141,1),(144,1),(164,1),(228,1),(239,1),(240,1),(241,1),(436,1),(453,1)}
       192:{1,3,6}:{(141,1),(145,1),(165,1),(229,1),(241,1)}
       193:{1,2,4,6}:{(142,1),(152,1),(242,1),(243,1),(325,1),(391,1),(393,1)}
       194:{1,2,5}:{(143,1),(239,1)}
       195:{1,2,4,6}:{(144,1),(146,1),(154,1),(166,1),(230,1),(240,1),(244,1),(325,1),(338,1),(399,1)}
       196:{1,2,4,7}:{(145,1),(147,1),(155,1),(167,1),(231,1),(241,1)}
       197:{1,5,6}:{(146,1),(148,1),(247,1)}
       198:{1,4,6,7}:{(146,1),(147,1),(149,1),(158,1),(247,1)}
       199:{2,4,5,6}:{(148,1),(150,1),(160,1),(246,1),(248,1),(249,1),(332,1)}
       200:{2,5,7}:{(148,1),(149,1),(151,1),(247,1)}
       201:{1,4,5,7}:{(150,1),(151,1),(162,1),(249,1),(398,1)}
       202:{1,3,4,7}:{(152,1),(242,1),(250,1),(251,1),(453,1)}
       203:{1,2,4,5,7}:{(152,1),(153,1),(156,1),(243,1),(251,1),(252,1),(254,1)}
       204:{1,2,5,6}:{(153,1),(154,1),(157,1),(252,1),(332,1)}
       205:{1,2,6,7}:{(154,1),(155,1),(158,1),(172,1),(311,1)}
       206:{1,3,4,5,7}:{(156,1),(159,1),(251,1),(254,1),(255,1),(324,1),(333,1),(394,1)}
       207:{1,4,6}:{(156,1),(157,1),(160,1)}
       208:{1,3,5,6,7}:{(157,1),(158,1),(161,1),(247,1),(253,1),(256,1),(326,1),(333,1),(337,1)}
       209:{3,4,6}:{(159,1),(160,1),(248,1)}
       210:{2,4,6,7}:{(160,1),(161,1),(162,1),(249,1),(256,1),(257,1),(342,1),(385,1)}
       211:{2,3,5}:{(163,1),(239,1),(258,1)}
       212:{2,3,6}:{(164,1),(166,1),(240,1)}
       213:{2,3,7}:{(165,1),(167,1),(241,1)}
       214:{2,5,6}:{(166,1),(168,1),(262,1)}
       215:{2,4,6,7}:{(166,1),(167,1),(169,1),(172,1),(260,1),(262,1),(342,1),(407,1),(441,1)}
       216:{1,4,5,6}:{(168,1),(170,1),(261,1),(264,1),(325,1)}
       217:{1,3,5,7}:{(168,1),(169,1),(171,1),(247,1),(262,1),(264,1),(344,1),(398,1)}
       218:{3,4,5,6}:{(170,1),(248,1),(265,1),(384,1)}
       219:{2,4,5,7}:{(170,1),(171,1),(174,1),(264,1),(265,1),(385,1)}
       220:{2,5,6,7}:{(172,1),(173,1),(262,1),(266,1),(407,1)}
       221:{1,4,6,7}:{(173,1),(174,1),(264,1),(266,1)}
       222:{3,4,6,7}:{(174,1),(176,1),(265,1)}
       223:{1,3,5,6,7}:{(175,1),(176,1),(267,1),(268,1),(333,1)}
       224:{2,5,6}:{(177,1),(182,1),(269,1)}
       225:{1,3,5,7}:{(177,1),(178,1),(184,1),(187,1),(269,1),(270,1)}
       226:{2,3,6,7}:{(178,1),(188,1),(270,1),(408,1)}
       227:{2,3,4,6}:{(179,1),(190,1),(272,1),(273,1),(353,1)}
       228:{2,3,5,7}:{(179,1),(180,1),(181,1),(191,1),(272,1),(273,1),(274,1),(443,1),(454,1)}
       229:{2,3,6}:{(180,1),(182,1),(192,1),(274,1)}
       230:{2,4,6}:{(181,1),(183,1),(273,1),(275,1)}
       231:{2,4,7}:{(182,1),(184,1),(269,1),(274,1)}
       232:{1,3,5,6}:{(183,1),(185,1),(197,1),(275,1),(277,1),(278,1),(355,1),(368,1)}
       233:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(198,1),(270,1),(276,1),(278,1),(285,1),(350,1),(363,1),(373,1),(408,1),(412,1),(442,1),(445,1)}
       234:{2,4,5,6}:{(185,1),(277,1),(279,1),(280,1),(302,1)}
       235:{2,3,5,7}:{(185,1),(186,1),(200,1),(278,1),(280,1),(292,1),(369,1)}
       236:{1,4,6,7}:{(187,1),(188,1),(270,1),(281,1)}
       237:{2,5,6,7}:{(188,1),(189,1),(200,1),(281,1)}
       238:{1,4,5,6,7}:{(189,1),(201,1),(282,1),(350,1),(416,1)}
       239:{1,3,5}:{(190,1),(194,1),(211,1),(272,1),(283,1)}
       240:{1,3,6}:{(191,1),(195,1),(212,1),(273,1)}
       241:{1,3,7}:{(192,1),(196,1),(213,1),(274,1)}
       242:{1,3,4,6}:{(193,1),(202,1),(286,1),(287,1),(296,1),(417,1),(447,1)}
       243:{1,2,4,5}:{(193,1),(194,1),(283,1),(287,1),(361,1)}
       244:{1,2,5,6}:{(194,1),(195,1),(197,1),(214,1),(275,1),(284,1),(289,1),(368,1)}
       245:{1,2,4,6,7}:{(195,1),(196,1),(198,1),(205,1),(215,1),(276,1),(285,1),(289,1),(363,1),(373,1),(423,1),(448,1)}
       246:{1,4,5,6}:{(197,1),(199,1),(207,1),(290,1),(291,1)}
       247:{1,5,7}:{(197,1),(198,1),(200,1)}
       248:{3,5,6}:{(199,1),(209,1),(292,1)}
       249:{2,4,5,7}:{(199,1),(200,1),(201,1),(210,1),(291,1),(292,1),(369,1)}
       250:{2,3,4,7}:{(202,1),(286,1),(294,1),(295,1),(420,1),(449,1),(454,1)}
       251:{1,3,5,7}:{(202,1),(203,1),(287,1),(295,1),(296,1)}
       252:{1,2,4,6}:{(203,1),(204,1),(207,1),(296,1),(299,1)}
       253:{1,2,5,6,7}:{(204,1),(205,1),(208,1),(220,1),(289,1),(297,1),(310,1),(349,1),(369,1),(416,1)}
       254:{2,4,5,7}:{(206,1),(295,1),(298,1),(299,1),(361,1),(369,1),(420,1)}
       255:{1,3,4,6}:{(206,1),(207,1),(209,1),(290,1),(296,1),(299,1)}
       256:{1,4,6,7}:{(207,1),(208,1),(210,1),(291,1),(363,1)}
       257:{3,4,6,7}:{(209,1),(210,1),(292,1),(308,1),(376,1),(408,1),(412,1)}
       258:{2,4,5}:{(211,1),(283,1),(301,1),(302,1)}
       259:{2,3,5,6}:{(211,1),(212,1),(214,1),(284,1),(302,1),(303,1),(304,1)}
       260:{2,3,6,7}:{(212,1),(213,1),(215,1),(285,1),(303,1),(308,1),(449,1)}
       261:{2,4,5,6}:{(214,1),(216,1),(302,1),(304,1),(305,1)}
       262:{2,5,7}:{(214,1),(215,1),(217,1)}
       263:{1,3,4,5,6}:{(216,1),(218,1),(290,1),(304,1),(306,1),(307,1),(362,1),(377,1)}
       264:{1,4,5,7}:{(216,1),(217,1),(219,1),(221,1),(305,1),(363,1)}
       265:{3,4,5,7}:{(218,1),(219,1),(222,1),(292,1),(412,1)}
       266:{2,4,6,7}:{(220,1),(221,1),(305,1),(308,1)}
       267:{1,3,4,6,7}:{(221,1),(222,1),(223,1),(307,1),(308,1),(309,1),(380,1)}
       268:{2,5,6,7}:{(223,1),(309,1),(310,1),(369,1)}
       269:{2,5,7}:{(224,1),(225,1),(231,1),(311,1)}
       270:{1,3,6,7}:{(225,1),(226,1),(236,1),(311,1)}
       271:{2,3,5,6,7}:{(226,1),(235,1),(237,1),(312,1),(313,1),(323,1),(390,1),(428,1)}
       272:{2,3,5}:{(227,1),(239,1),(314,1)}
       273:{2,3,6}:{(228,1),(230,1),(240,1)}
       274:{2,3,7}:{(229,1),(231,1),(241,1)}
       275:{2,5,6}:{(230,1),(232,1),(318,1)}
       276:{2,4,6,7}:{(230,1),(231,1),(233,1),(311,1),(316,1),(318,1),(385,1),(450,1),(452,1)}
       277:{1,4,5,6}:{(232,1),(234,1),(317,1),(320,1),(325,1)}
       278:{1,3,5,7}:{(232,1),(233,1),(235,1),(247,1),(318,1),(320,1),(387,1),(398,1)}
       279:{3,4,5,6}:{(234,1),(248,1),(321,1),(341,1)}
       280:{2,4,5,7}:{(234,1),(235,1),(313,1),(320,1),(321,1),(342,1)}
       281:{1,5,6,7}:{(236,1),(237,1),(247,1)}
       282:{2,4,5,6,7}:{(237,1),(238,1),(249,1),(313,1),(322,1),(323,1),(381,1),(390,1)}
       283:{1,4,5}:{(239,1),(258,1),(314,1),(325,1)}
       284:{1,3,5,6}:{(239,1),(240,1),(244,1),(259,1),(315,1),(325,1),(326,1)}
       285:{1,3,6,7}:{(240,1),(241,1),(245,1),(260,1),(316,1),(326,1),(453,1)}
       286:{2,3,4,6}:{(242,1),(250,1),(328,1),(329,1),(336,1),(393,1),(401,1),(430,1),(440,1),(451,1)}
       287:{1,3,5}:{(242,1),(243,1),(329,1)}
       288:{1,2,4,5,6}:{(243,1),(244,1),(246,1),(252,1),(261,1),(317,1),(325,1),(330,1),(331,1),(332,1),(345,1),(388,1),(393,1),(405,1),(434,1),(437,1)}
       289:{1,2,5,7}:{(244,1),(245,1),(247,1),(262,1),(318,1),(326,1),(398,1)}
       290:{1,3,5,6}:{(246,1),(248,1),(255,1),(332,1),(333,1)}
       291:{1,4,5,7}:{(246,1),(247,1),(249,1),(256,1),(333,1)}
       292:{3,5,7}:{(248,1),(249,1),(257,1)}
       293:{1,2,3,7}:{(327,1),(334,1),(453,1)}
       294:{1,3,4,7}:{(250,1),(328,1),(334,1),(335,1),(438,1),(453,1)}
       295:{2,3,5,7}:{(250,1),(251,1),(254,1),(329,1),(335,1),(336,1)}
       296:{1,3,6}:{(251,1),(252,1),(336,1)}
       297:{1,2,4,6,7}:{(252,1),(253,1),(256,1),(266,1),(331,1),(337,1),(339,1),(348,1),(381,1),(407,1),(429,1),(450,1)}
       298:{1,4,5,7}:{(254,1),(335,1),(338,1),(392,1),(398,1),(438,1)}
       299:{2,4,6}:{(254,1),(255,1),(332,1),(336,1),(338,1)}
       300:{1,3,4,6,7}:{(255,1),(256,1),(257,1),(333,1),(337,1),(339,1),(394,1)}
       301:{3,4,5}:{(258,1),(341,1)}
       302:{2,4,6}:{(258,1),(259,1),(325,1),(341,1),(342,1)}
       303:{2,3,5,7}:{(259,1),(260,1),(262,1),(326,1),(342,1),(344,1)}
       304:{3,5,6}:{(261,1),(341,1),(344,1)}
       305:{2,4,5,7}:{(261,1),(262,1),(264,1),(266,1),(342,1),(344,1)}
       306:{2,4,5,6}:{(263,1),(332,1),(343,1),(345,1),(346,1),(393,1),(405,1)}
       307:{1,3,4,5,7}:{(263,1),(264,1),(265,1),(267,1),(333,1),(344,1),(346,1),(394,1),(406,1)}
       308:{3,6,7}:{(266,1),(344,1)}
       309:{2,4,6,7}:{(267,1),(268,1),(346,1),(347,1),(348,1),(407,1)}
       310:{1,5,6,7}:{(268,1),(348,1),(398,1)}
       311:{2,6,7}:{(269,1),(270,1)}
       312:{1,3,5,6,7}:{(270,1),(271,1),(278,1),(281,1),(349,1),(350,1),(408,1),(416,1),(442,1)}
       313:{2,4,6,7}:{(271,1),(280,1),(350,1),(351,1)}
       314:{2,4,5}:{(272,1),(283,1),(352,1),(353,1)}
       315:{2,3,5,6}:{(272,1),(273,1),(275,1),(284,1),(353,1),(354,1),(355,1)}
       316:{2,3,6,7}:{(273,1),(274,1),(276,1),(285,1),(354,1),(408,1),(454,1)}
       317:{2,4,5,6}:{(275,1),(277,1),(353,1),(355,1),(356,1)}
       318:{2,5,7}:{(275,1),(276,1),(278,1)}
       319:{1,3,4,5,6}:{(277,1),(279,1),(290,1),(355,1),(357,1),(358,1),(362,1),(413,1)}
       320:{1,4,5,7}:{(277,1),(278,1),(280,1),(350,1),(356,1),(363,1)}
       321:{3,4,5,7}:{(279,1),(280,1),(292,1),(351,1),(376,1)}
       322:{1,4,5,6,7}:{(281,1),(282,1),(291,1),(350,1),(359,1)}
       323:{3,5,6,7}:{(282,1),(292,1),(351,1),(408,1)}
       324:{1,3,4,5}:{(283,1),(287,1),(301,1),(352,1),(361,1),(362,1)}
       325:{1,4,6}:{(283,1),(284,1),(302,1),(353,1),(363,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(303,1),(354,1),(363,1)}
       327:{1,2,3,6}:{(293,1),(360,1),(364,1),(447,1)}
       328:{1,3,4,6}:{(286,1),(294,1),(364,1),(365,1),(371,1),(417,1),(419,1),(447,1)}
       329:{2,3,5}:{(286,1),(287,1),(361,1),(365,1)}
       330:{1,3,5,6}:{(287,1),(288,1),(296,1),(304,1),(355,1),(362,1),(366,1),(367,1),(447,1)}
       331:{1,2,4,5,7}:{(288,1),(289,1),(291,1),(297,1),(305,1),(356,1),(363,1),(367,1),(369,1),(379,1),(415,1),(420,1),(427,1),(446,1),(448,1)}
       332:{2,5,6}:{(290,1),(299,1),(368,1),(369,1)}
       333:{1,3,5,7}:{(290,1),(291,1),(292,1),(300,1),(369,1)}
       334:{1,2,4,7}:{(293,1),(294,1),(364,1),(370,1)}
       335:{1,3,5,7}:{(294,1),(295,1),(298,1),(365,1),(370,1),(371,1)}
       336:{2,3,6}:{(295,1),(296,1),(299,1),(371,1)}
       337:{1,3,6,7}:{(296,1),(297,1),(308,1),(367,1),(372,1),(408,1)}
       338:{1,4,6}:{(298,1),(299,1),(368,1),(371,1)}
       339:{2,4,6,7}:{(299,1),(300,1),(369,1),(372,1),(373,1),(420,1)}
       340:{2,3,4,5}:{(301,1),(361,1),(374,1),(375,1),(443,1)}
       341:{3,4,6}:{(301,1),(302,1),(304,1),(376,1)}
       342:{2,4,7}:{(302,1),(303,1),(363,1),(376,1)}
       343:{2,3,5,6}:{(304,1),(306,1),(375,1),(377,1),(378,1)}
       344:{3,5,7}:{(304,1),(305,1),(308,1),(376,1)}
       345:{1,4,5,6}:{(306,1),(368,1),(377,1),(379,1),(419,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(309,1),(369,1),(378,1),(379,1),(420,1),(427,1)}
       347:{2,3,6,7}:{(308,1),(309,1),(378,1),(380,1)}
       348:{1,4,6,7}:{(309,1),(310,1),(379,1),(380,1)}
       349:{2,5,6,7}:{(311,1),(312,1),(318,1),(381,1),(450,1)}
       350:{1,4,6,7}:{(312,1),(313,1),(320,1),(381,1)}
       351:{3,4,6,7}:{(313,1),(321,1),(323,1)}
       352:{3,4,5}:{(314,1),(384,1)}
       353:{2,4,6}:{(314,1),(315,1),(325,1),(384,1),(385,1)}
       354:{2,3,5,7}:{(315,1),(316,1),(318,1),(326,1),(385,1),(387,1)}
       355:{3,5,6}:{(317,1),(384,1),(387,1)}
       356:{2,4,5,7}:{(317,1),(318,1),(320,1),(381,1),(385,1),(387,1)}
       357:{2,4,5,6}:{(319,1),(332,1),(386,1),(388,1),(389,1),(393,1),(434,1)}
       358:{1,3,4,5,7}:{(319,1),(320,1),(321,1),(333,1),(382,1),(387,1),(389,1),(394,1),(435,1)}
       359:{1,3,5,6,7}:{(322,1),(323,1),(333,1),(382,1),(390,1)}
       360:{1,2,3,5}:{(327,1),(391,1),(395,1),(436,1)}
       361:{2,4,5}:{(324,1),(329,1),(392,1),(393,1)}
       362:{1,3,4,6}:{(324,1),(325,1),(330,1),(341,1),(384,1),(393,1),(394,1)}
       363:{1,4,7}:{(325,1),(326,1),(342,1),(385,1)}
       364:{1,2,4,6}:{(327,1),(328,1),(334,1),(391,1),(395,1),(399,1)}
       365:{1,3,5}:{(328,1),(329,1),(392,1),(395,1)}
       366:{2,3,5,6}:{(329,1),(330,1),(332,1),(336,1),(393,1),(396,1),(397,1),(405,1),(434,1),(440,1),(451,1)}
       367:{1,3,5,7}:{(330,1),(331,1),(337,1),(344,1),(387,1),(394,1),(397,1),(453,1)}
       368:{1,5,6}:{(332,1),(338,1),(398,1)}
       369:{2,5,7}:{(332,1),(333,1),(339,1),(398,1)}
       370:{1,2,5,7}:{(334,1),(335,1),(395,1),(399,1)}
       371:{1,3,6}:{(335,1),(336,1),(338,1),(399,1)}
       372:{2,3,6,7}:{(336,1),(337,1),(339,1),(397,1),(400,1),(407,1),(450,1)}
       373:{1,4,6,7}:{(338,1),(339,1),(398,1),(400,1),(438,1)}
       374:{1,3,4,5}:{(340,1),(392,1),(402,1),(403,1),(436,1)}
       375:{2,3,4,6}:{(340,1),(341,1),(343,1),(393,1),(403,1),(404,1),(451,1)}
       376:{3,4,7}:{(341,1),(342,1),(344,1)}
       377:{1,3,5,6}:{(343,1),(345,1),(403,1),(405,1),(406,1)}
       378:{2,3,5,7}:{(343,1),(344,1),(346,1),(347,1),(404,1),(406,1)}
       379:{1,4,5,7}:{(345,1),(346,1),(348,1),(398,1),(406,1),(438,1)}
       380:{1,3,6,7}:{(347,1),(348,1),(406,1),(407,1)}
       381:{2,4,6,7}:{(349,1),(350,1),(356,1),(408,1)}
       382:{1,3,4,6,7}:{(350,1),(351,1),(358,1),(359,1),(408,1),(409,1),(442,1)}
       383:{2,3,4,5}:{(352,1),(361,1),(410,1),(411,1),(424,1)}
       384:{3,4,6}:{(352,1),(353,1),(355,1),(412,1)}
       385:{2,4,7}:{(353,1),(354,1),(363,1),(412,1)}
       386:{2,3,5,6}:{(355,1),(357,1),(411,1),(413,1),(414,1)}
       387:{3,5,7}:{(355,1),(356,1),(408,1),(412,1)}
       388:{1,4,5,6}:{(357,1),(368,1),(413,1),(415,1),(419,1)}
       389:{2,4,5,7}:{(357,1),(358,1),(369,1),(409,1),(414,1),(415,1),(420,1),(446,1)}
       390:{2,5,6,7}:{(359,1),(369,1),(409,1),(416,1)}
       391:{1,2,4}:{(360,1),(417,1)}
       392:{1,4,5}:{(361,1),(365,1),(419,1)}
       393:{2,4,6}:{(361,1),(362,1),(366,1),(419,1),(420,1)}
       394:{1,3,4,7}:{(362,1),(363,1),(367,1),(376,1),(412,1),(420,1)}
       395:{1,2,5}:{(364,1),(365,1)}
       396:{1,3,5,6}:{(365,1),(366,1),(368,1),(371,1),(419,1),(421,1),(422,1),(447,1)}
       397:{2,3,5,7}:{(366,1),(367,1),(369,1),(372,1),(420,1),(422,1),(427,1),(446,1),(449,1),(454,1)}
       398:{1,5,7}:{(368,1),(369,1),(373,1)}
       399:{1,2,6}:{(370,1),(371,1)}
       400:{1,3,6,7}:{(371,1),(372,1),(373,1),(422,1),(423,1)}
       401:{2,3,4}:{(417,1),(424,1)}
       402:{2,4,5}:{(374,1),(424,1),(425,1)}
       403:{1,3,4,6}:{(374,1),(375,1),(377,1),(419,1),(425,1),(426,1),(447,1)}
       404:{2,3,4,7}:{(375,1),(376,1),(378,1),(420,1),(426,1),(454,1)}
       405:{2,5,6}:{(377,1),(425,1),(427,1)}
       406:{1,3,5,7}:{(377,1),(378,1),(379,1),(380,1),(426,1),(427,1)}
       407:{2,6,7}:{(380,1),(427,1)}
       408:{3,6,7}:{(381,1),(387,1)}
       409:{2,4,6,7}:{(382,1),(389,1),(390,1),(428,1),(429,1),(450,1)}
       410:{1,3,4,5}:{(383,1),(392,1),(431,1),(432,1),(436,1)}
       411:{2,3,4,6}:{(383,1),(384,1),(386,1),(393,1),(432,1),(433,1),(440,1)}
       412:{3,4,7}:{(384,1),(385,1),(387,1)}
       413:{1,3,5,6}:{(386,1),(388,1),(432,1),(434,1),(435,1)}
       414:{2,3,5,7}:{(386,1),(387,1),(389,1),(428,1),(433,1),(435,1)}
       415:{1,4,5,7}:{(388,1),(389,1),(398,1),(429,1),(435,1),(438,1)}
       416:{1,5,6,7}:{(390,1),(398,1),(429,1)}
       417:{1,3,4}:{(391,1),(401,1),(430,1),(436,1)}
       418:{1,2,4,5}:{(391,1),(392,1),(395,1),(402,1),(431,1),(436,1),(437,1)}
       419:{1,4,6}:{(392,1),(393,1),(396,1),(438,1)}
       420:{2,4,7}:{(393,1),(394,1),(397,1),(438,1)}
       421:{1,2,5,6}:{(395,1),(396,1),(399,1),(405,1),(434,1),(437,1),(439,1)}
       422:{1,3,5,7}:{(396,1),(397,1),(398,1),(400,1),(438,1),(439,1),(453,1)}
       423:{1,2,6,7}:{(399,1),(400,1),(407,1),(439,1),(450,1)}
       424:{2,3,5}:{(401,1),(402,1),(436,1),(440,1)}
       425:{2,4,6}:{(402,1),(403,1),(405,1),(440,1),(441,1)}
       426:{1,3,4,7}:{(403,1),(404,1),(406,1),(438,1),(441,1),(453,1)}
       427:{2,5,7}:{(405,1),(406,1),(407,1),(441,1)}
       428:{2,3,6,7}:{(408,1),(409,1),(414,1),(442,1)}
       429:{1,4,6,7}:{(409,1),(415,1),(416,1),(442,1)}
       430:{2,3,4}:{(417,1),(443,1)}
       431:{2,4,5}:{(410,1),(443,1),(444,1)}
       432:{1,3,4,6}:{(410,1),(411,1),(413,1),(419,1),(444,1),(445,1),(447,1)}
       433:{2,3,4,7}:{(411,1),(412,1),(414,1),(420,1),(445,1),(449,1)}
       434:{2,5,6}:{(413,1),(444,1),(446,1)}
       435:{1,3,5,7}:{(413,1),(414,1),(415,1),(442,1),(445,1),(446,1)}
       436:{1,3,5}:{(417,1),(418,1),(424,1),(443,1),(447,1)}
       437:{1,2,4,6}:{(418,1),(419,1),(421,1),(425,1),(444,1),(447,1),(448,1)}
       438:{1,4,7}:{(419,1),(420,1),(422,1)}
       439:{1,2,5,7}:{(421,1),(422,1),(423,1),(427,1),(446,1),(448,1)}
       440:{2,3,6}:{(424,1),(425,1),(447,1),(449,1)}
       441:{2,4,7}:{(425,1),(426,1),(427,1),(449,1)}
       442:{1,3,6,7}:{(428,1),(429,1),(435,1),(450,1)}
       443:{2,3,5}:{(430,1),(431,1),(436,1),(451,1)}
       444:{2,4,6}:{(431,1),(432,1),(434,1),(451,1),(452,1)}
       445:{1,3,4,7}:{(432,1),(433,1),(435,1),(438,1),(452,1),(453,1)}
       446:{2,5,7}:{(434,1),(435,1),(450,1),(452,1)}
       447:{1,3,6}:{(436,1),(437,1),(440,1),(451,1),(453,1)}
       448:{1,2,4,7}:{(437,1),(438,1),(439,1),(441,1),(452,1),(453,1)}
       449:{2,3,7}:{(440,1),(441,1),(453,1)}
       450:{2,6,7}:{(442,1),(446,1)}
       451:{2,3,6}:{(443,1),(444,1),(447,1),(454,1)}
       452:{2,4,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{1,3,7}:{(447,1),(448,1),(449,1),(454,1)}
       454:{2,3,7}:{(451,1),(452,1),(453,1)}

2504 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(37,1),(52,1),(93,1),(164,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(9,1),(11,1),(80,1),(106,1),(231,1)}
         4:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(164,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,6}:{(3,1),(4,1),(19,1),(20,1),(75,1),(110,1),(199,1)}
        10:{2,3,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(58,1),(111,1),(113,1),(140,1),(178,1),(240,1),(246,1),(257,1),(286,1),(293,1)}
        11:{1,3,4,5}:{(3,1),(20,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(19,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(20,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(53,1),(75,1),(120,1),(128,1),(136,1),(181,1),(193,1),(205,1),(208,1),(209,1),(242,1),(246,1),(287,1)}
        19:{2,3,4,7}:{(9,1),(13,1),(35,1),(105,1),(144,1),(228,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(14,1),(35,1),(36,1),(83,1),(101,1)}
        21:{2,3,4,6}:{(10,1),(38,1),(39,1),(147,1),(175,1),(215,1),(280,1),(301,1),(305,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(35,1),(39,1),(40,1),(86,1),(89,1),(149,1),(171,1),(210,1),(221,1),(227,1),(228,1),(231,1),(304,1)}
        23:{2,4,5}:{(11,1),(36,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(35,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(36,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(82,1),(105,1),(152,1),(160,1),(171,1),(174,1),(176,1),(213,1),(221,1),(267,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(83,1),(155,1),(164,1),(223,1),(271,1),(301,1)}
        33:{1,2,4,5}:{(23,1),(53,1),(56,1),(112,1),(136,1),(181,1)}
        34:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(58,1),(59,1),(71,1),(131,1),(139,1),(178,1),(179,1),(206,1),(240,1),(260,1)}
        35:{1,3,4,7}:{(19,1),(20,1),(27,1),(60,1),(116,1),(135,1)}
        36:{2,4,6}:{(20,1),(23,1),(28,1),(60,1),(61,1)}
        37:{3,4,5,6}:{(57,1),(62,1),(245,1),(263,1)}
        38:{2,3,5,6}:{(21,1),(58,1),(62,1),(63,1),(208,1),(263,1),(297,1)}
        39:{1,3,4,6}:{(21,1),(22,1),(63,1),(64,1),(121,1),(193,1),(199,1),(205,1),(311,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(60,1),(64,1),(65,1),(124,1),(185,1),(196,1),(200,1),(239,1)}
        41:{2,3,5}:{(23,1),(56,1),(61,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(53,1),(69,1),(70,1),(181,1),(242,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(58,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(60,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(61,1),(70,1),(74,1),(75,1),(110,1),(127,1),(181,1),(198,1),(208,1),(242,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(242,1),(287,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(116,1),(195,1),(286,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(193,1),(199,1),(245,1)}
        53:{1,2,4,6}:{(33,1),(36,1),(43,1),(82,1),(83,1),(101,1),(145,1)}
        54:{1,3,4,5,6}:{(37,1),(81,1),(84,1),(93,1),(156,1),(164,1),(226,1),(283,1)}
        55:{1,2,4,5,7}:{(33,1),(40,1),(82,1),(85,1),(86,1),(148,1),(152,1),(171,1),(213,1),(216,1),(217,1),(221,1),(227,1),(264,1),(267,1),(304,1),(312,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(83,1),(87,1)}
        57:{3,4,5,7}:{(37,1),(44,1),(88,1),(237,1),(266,1)}
        58:{2,3,5,7}:{(34,1),(38,1),(88,1),(89,1),(174,1),(237,1),(282,1)}
        59:{1,3,4,6,7}:{(34,1),(35,1),(39,1),(46,1),(89,1),(90,1),(102,1),(153,1),(167,1),(170,1),(172,1),(210,1),(221,1),(228,1),(281,1)}
        60:{2,4,7}:{(35,1),(36,1),(47,1),(91,1)}
        61:{2,3,6}:{(36,1),(41,1),(83,1),(91,1)}
        62:{2,4,5,6}:{(37,1),(38,1),(88,1),(93,1),(215,1)}
        63:{1,3,5,6}:{(38,1),(39,1),(89,1),(93,1),(94,1),(164,1),(236,1),(306,1)}
        64:{2,4,6}:{(39,1),(40,1),(94,1),(95,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(86,1),(91,1),(95,1),(96,1),(166,1),(218,1),(265,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(82,1),(99,1),(100,1),(213,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(83,1),(100,1),(101,1),(155,1),(223,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(89,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(91,1),(100,1),(104,1),(105,1),(144,1),(174,1),(213,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(152,1),(174,1),(232,1),(236,1),(268,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(223,1),(301,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(221,1),(228,1),(266,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(155,1),(227,1),(231,1),(271,1)}
        80:{2,3,5}:{(56,1),(110,1),(112,1),(181,1)}
        81:{1,3,4,5,7}:{(54,1),(57,1),(67,1),(114,1),(123,1),(186,1),(195,1),(251,1),(261,1)}
        82:{1,2,4,7}:{(53,1),(60,1),(69,1),(116,1),(135,1),(180,1)}
        83:{1,3,6}:{(53,1),(56,1),(61,1),(110,1),(116,1)}
        84:{2,4,5,6}:{(54,1),(114,1),(118,1),(119,1),(191,1),(255,1),(297,1)}
        85:{1,2,4,6}:{(55,1),(64,1),(120,1),(121,1),(184,1),(193,1),(205,1),(242,1),(287,1),(311,1),(314,1)}
        86:{1,3,5,7}:{(55,1),(56,1),(65,1),(111,1),(116,1),(121,1),(122,1),(194,1),(247,1),(284,1),(286,1)}
        87:{1,3,4}:{(56,1),(66,1),(112,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(62,1),(71,1),(123,1),(240,1)}
        89:{1,3,5,7}:{(58,1),(59,1),(63,1),(123,1),(124,1),(195,1),(204,1),(296,1)}
        90:{2,4,6,7}:{(59,1),(60,1),(64,1),(73,1),(124,1),(125,1),(196,1),(201,1),(239,1)}
        91:{2,3,7}:{(60,1),(61,1),(116,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(75,1),(117,1),(126,1),(127,1),(198,1),(245,1)}
        93:{1,4,5,6}:{(62,1),(63,1),(123,1),(128,1),(193,1)}
        94:{2,5,6}:{(63,1),(64,1),(124,1)}
        95:{2,3,6}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,7}:{(65,1),(66,1),(122,1),(130,1),(196,1),(248,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(114,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(242,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(116,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(124,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(198,1),(242,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(127,1),(136,1),(181,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(188,1),(253,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(190,1),(252,1),(257,1),(286,1)}
       110:{2,3,6}:{(80,1),(83,1),(144,1),(145,1)}
       111:{2,3,5,7}:{(80,1),(86,1),(144,1),(147,1),(148,1),(213,1),(216,1),(272,1),(298,1),(312,1)}
       112:{2,4}:{(80,1),(87,1)}
       113:{2,3,4,5}:{(146,1),(149,1),(231,1),(272,1),(279,1)}
       114:{2,4,5,7}:{(81,1),(84,1),(97,1),(150,1),(151,1),(219,1),(275,1),(282,1)}
       115:{1,2,4,6,7}:{(82,1),(85,1),(90,1),(99,1),(152,1),(153,1),(170,1),(212,1),(221,1),(232,1),(264,1),(281,1)}
       116:{1,3,7}:{(82,1),(83,1),(91,1),(144,1)}
       117:{1,3,4,6}:{(83,1),(87,1),(92,1),(101,1),(145,1),(154,1),(155,1),(223,1)}
       118:{2,3,5,6}:{(84,1),(146,1),(150,1),(156,1),(164,1)}
       119:{1,4,5,6}:{(84,1),(151,1),(156,1),(278,1),(306,1)}
       120:{1,2,5,6}:{(85,1),(94,1),(152,1),(158,1),(216,1),(236,1),(268,1),(306,1)}
       121:{1,3,6}:{(85,1),(86,1),(95,1),(147,1),(301,1)}
       122:{1,3,4,7}:{(86,1),(87,1),(96,1),(148,1),(159,1),(221,1),(266,1),(273,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(93,1),(102,1),(160,1),(221,1)}
       124:{2,5,7}:{(89,1),(90,1),(94,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(95,1),(153,1),(161,1),(172,1),(265,1)}
       126:{2,3,4,7}:{(91,1),(92,1),(105,1),(154,1),(163,1),(266,1)}
       127:{2,3,5}:{(92,1),(106,1),(155,1),(271,1)}
       128:{2,4,5,6}:{(93,1),(94,1),(160,1),(164,1),(165,1)}
       129:{2,3,5,6}:{(94,1),(95,1),(158,1),(161,1),(164,1),(165,1),(166,1)}
       130:{2,3,4,6}:{(95,1),(96,1),(159,1),(165,1),(166,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(151,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(152,1),(168,1),(169,1),(268,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(223,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(155,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(161,1),(169,1),(172,1),(173,1),(174,1),(211,1),(230,1),(233,1),(237,1),(268,1),(282,1),(301,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(163,1),(171,1),(174,1),(175,1),(213,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(221,1),(277,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(223,1),(277,1),(280,1),(301,1)}
       144:{2,3,7}:{(110,1),(116,1),(180,1)}
       145:{2,4,6}:{(110,1),(112,1),(117,1),(180,1),(181,1),(242,1)}
       146:{2,3,4,6}:{(113,1),(118,1),(178,1),(182,1),(199,1),(255,1),(288,1)}
       147:{2,3,6}:{(111,1),(121,1),(184,1),(242,1),(314,1)}
       148:{2,4,7}:{(111,1),(112,1),(122,1),(184,1),(291,1)}
       149:{1,3,4,5}:{(113,1),(182,1),(185,1),(247,1),(295,1)}
       150:{2,3,5,7}:{(114,1),(118,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,4,5,7}:{(114,1),(119,1),(132,1),(186,1),(292,1),(296,1)}
       152:{1,2,5,7}:{(115,1),(120,1),(124,1),(188,1),(204,1),(241,1),(296,1)}
       153:{1,3,6,7}:{(115,1),(116,1),(121,1),(125,1),(179,1),(188,1),(284,1)}
       154:{1,3,4,7}:{(116,1),(117,1),(126,1),(135,1),(180,1),(190,1)}
       155:{1,3,5}:{(117,1),(127,1),(136,1),(181,1)}
       156:{1,3,5,6}:{(118,1),(119,1),(182,1),(186,1),(191,1)}
       157:{1,2,4,5,6}:{(119,1),(120,1),(128,1),(187,1),(191,1),(192,1),(193,1),(243,1),(246,1),(255,1),(262,1),(287,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       158:{1,3,5,6}:{(120,1),(121,1),(129,1),(183,1),(188,1),(193,1),(194,1)}
       159:{1,3,4,6}:{(121,1),(122,1),(130,1),(184,1),(193,1),(194,1),(245,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(128,1),(137,1),(195,1),(196,1)}
       161:{2,3,5,7}:{(124,1),(125,1),(129,1),(188,1),(195,1),(196,1)}
       162:{2,3,4,6,7}:{(125,1),(126,1),(130,1),(139,1),(189,1),(196,1),(197,1),(198,1),(206,1),(258,1),(260,1),(285,1),(309,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(140,1),(190,1),(198,1),(286,1)}
       164:{3,5,6}:{(128,1),(195,1),(199,1)}
       165:{2,4,6}:{(129,1),(193,1),(196,1),(199,1),(200,1)}
       166:{2,3,5}:{(130,1),(194,1),(200,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(187,1),(201,1),(202,1),(203,1),(260,1),(287,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(188,1),(202,1),(203,1),(204,1),(253,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(190,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(196,1),(203,1),(206,1),(207,1),(240,1),(258,1),(287,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(198,1),(205,1),(208,1),(242,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(146,1),(150,1),(210,1),(228,1),(275,1),(298,1)}
       179:{2,3,6,7}:{(144,1),(147,1),(153,1),(211,1),(212,1),(298,1),(301,1)}
       180:{2,4,7}:{(144,1),(145,1),(154,1),(213,1)}
       181:{2,5}:{(145,1),(155,1)}
       182:{1,3,4,6}:{(146,1),(149,1),(156,1),(210,1),(214,1),(269,1),(278,1)}
       183:{2,3,5,6}:{(147,1),(158,1),(211,1),(215,1),(216,1),(268,1),(271,1),(301,1)}
       184:{2,4,6}:{(147,1),(148,1),(159,1),(216,1)}
       185:{2,4,5}:{(149,1),(214,1),(218,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(156,1),(167,1),(210,1),(219,1)}
       187:{1,2,4,5,7}:{(151,1),(152,1),(157,1),(160,1),(168,1),(219,1),(220,1),(221,1),(235,1),(264,1),(267,1),(275,1),(282,1),(304,1),(312,1)}
       188:{1,3,5,7}:{(152,1),(153,1),(158,1),(161,1),(211,1),(221,1)}
       189:{1,3,4,6,7}:{(153,1),(154,1),(159,1),(162,1),(170,1),(212,1),(221,1),(222,1),(223,1),(266,1),(277,1),(281,1),(299,1),(301,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(163,1),(171,1),(213,1),(223,1)}
       191:{2,5,6}:{(156,1),(214,1),(219,1)}
       192:{1,3,5,6}:{(157,1),(164,1),(220,1),(225,1),(226,1),(269,1),(271,1),(301,1),(303,1),(313,1)}
       193:{1,4,6}:{(158,1),(165,1),(215,1),(221,1),(227,1)}
       194:{1,3,5}:{(159,1),(166,1),(216,1),(227,1),(271,1)}
       195:{3,5,7}:{(160,1),(164,1),(172,1),(228,1)}
       196:{2,4,7}:{(161,1),(165,1),(221,1),(228,1)}
       197:{2,3,5,7}:{(162,1),(166,1),(174,1),(222,1),(229,1),(230,1),(237,1),(282,1)}
       198:{2,3,6}:{(163,1),(175,1),(223,1),(301,1)}
       199:{3,4,6}:{(164,1),(165,1),(228,1),(231,1)}
       200:{2,4,5}:{(165,1),(166,1),(227,1),(231,1)}
       201:{2,6,7}:{(167,1),(219,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(220,1),(233,1),(301,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(221,1),(235,1),(277,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(223,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(266,1),(280,1),(301,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(277,1),(306,1)}
       210:{1,3,4,7}:{(178,1),(182,1),(186,1),(239,1),(284,1),(292,1)}
       211:{2,3,5,7}:{(179,1),(183,1),(188,1),(240,1),(241,1),(286,1)}
       212:{2,4,6,7}:{(179,1),(180,1),(184,1),(189,1),(240,1),(241,1),(242,1),(287,1),(307,1),(314,1)}
       213:{2,5,7}:{(180,1),(181,1),(190,1),(242,1)}
       214:{2,4,6}:{(182,1),(185,1),(191,1),(239,1),(244,1)}
       215:{2,4,6}:{(183,1),(193,1),(240,1),(245,1),(246,1)}
       216:{2,5}:{(184,1),(194,1)}
       217:{1,2,4,5}:{(185,1),(243,1),(247,1),(291,1),(295,1),(310,1)}
       218:{2,3,5}:{(185,1),(244,1),(247,1),(248,1)}
       219:{2,5,7}:{(186,1),(191,1),(201,1),(239,1)}
       220:{1,3,5,7}:{(187,1),(192,1),(195,1),(202,1),(250,1),(251,1),(284,1),(286,1)}
       221:{1,4,7}:{(188,1),(193,1),(196,1),(240,1)}
       222:{1,3,5,7}:{(189,1),(194,1),(197,1),(204,1),(241,1),(252,1),(253,1),(286,1),(296,1)}
       223:{1,3,6}:{(190,1),(198,1),(205,1),(242,1)}
       224:{1,2,5,6}:{(191,1),(243,1),(249,1),(254,1),(310,1),(314,1)}
       225:{2,3,5,6}:{(191,1),(192,1),(244,1),(250,1),(254,1),(255,1),(288,1),(290,1),(297,1),(309,1),(310,1),(314,1)}
       226:{1,3,4,6}:{(192,1),(193,1),(199,1),(245,1),(251,1),(255,1),(256,1)}
       227:{1,4,5}:{(193,1),(194,1),(200,1),(246,1)}
       228:{3,4,7}:{(195,1),(196,1),(199,1)}
       229:{2,4,5,7}:{(196,1),(197,1),(200,1),(252,1),(257,1),(258,1)}
       230:{2,3,5,6}:{(197,1),(198,1),(208,1),(253,1),(258,1),(263,1),(297,1),(309,1)}
       231:{3,4,5}:{(199,1),(200,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(250,1),(259,1),(260,1),(309,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(251,1),(260,1),(261,1),(294,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(287,1),(297,1)}
       239:{2,4,7}:{(210,1),(214,1),(219,1),(265,1)}
       240:{2,4,7}:{(211,1),(215,1),(221,1),(266,1)}
       241:{2,5,7}:{(212,1),(216,1),(222,1),(268,1)}
       242:{2,6}:{(213,1),(223,1)}
       243:{1,2,4,6}:{(214,1),(217,1),(224,1),(264,1),(269,1),(278,1),(302,1)}
       244:{2,3,6}:{(214,1),(218,1),(265,1),(269,1)}
       245:{3,4,6}:{(215,1),(266,1),(271,1),(301,1)}
       246:{2,4,5}:{(215,1),(216,1),(227,1),(271,1)}
       247:{1,3,5}:{(217,1),(218,1),(269,1),(272,1),(273,1)}
       248:{2,3,4}:{(218,1),(273,1)}
       249:{1,2,5,7}:{(219,1),(224,1),(232,1),(264,1),(274,1),(312,1)}
       250:{2,3,5,7}:{(219,1),(220,1),(225,1),(233,1),(265,1),(274,1),(275,1),(282,1),(298,1),(312,1)}
       251:{1,3,4,7}:{(220,1),(221,1),(226,1),(228,1),(266,1),(275,1)}
       252:{1,4,5,7}:{(221,1),(222,1),(227,1),(229,1),(267,1),(277,1)}
       253:{1,3,5,6}:{(222,1),(223,1),(230,1),(236,1),(268,1),(277,1),(301,1),(306,1),(313,1)}
       254:{1,3,5,6}:{(224,1),(225,1),(269,1),(274,1),(278,1),(303,1),(306,1),(313,1)}
       255:{2,4,6}:{(225,1),(226,1),(275,1),(278,1),(279,1)}
       256:{1,3,4,5}:{(226,1),(227,1),(231,1),(271,1),(279,1),(303,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(231,1),(237,1),(280,1)}
       258:{2,4,6}:{(229,1),(230,1),(277,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(275,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(277,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(301,1)}
       264:{1,2,4,7}:{(239,1),(243,1),(249,1),(284,1),(292,1),(307,1)}
       265:{2,3,7}:{(239,1),(244,1),(284,1)}
       266:{3,4,7}:{(240,1),(245,1),(286,1)}
       267:{2,4,5,7}:{(240,1),(241,1),(246,1),(252,1),(286,1),(287,1)}
       268:{2,5,6}:{(241,1),(242,1),(253,1),(287,1),(314,1)}
       269:{1,3,6}:{(243,1),(244,1),(247,1),(284,1),(288,1)}
       270:{2,3,4,6}:{(244,1),(245,1),(248,1),(255,1),(285,1),(289,1),(290,1),(309,1)}
       271:{3,5}:{(245,1),(246,1)}
       272:{2,3,5}:{(247,1),(288,1),(291,1),(310,1)}
       273:{1,3,4}:{(247,1),(248,1),(291,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(254,1),(259,1),(284,1),(292,1),(296,1)}
       275:{2,4,7}:{(250,1),(251,1),(255,1),(292,1)}
       276:{1,3,4,5,7}:{(251,1),(252,1),(256,1),(257,1),(261,1),(286,1),(293,1),(294,1),(308,1)}
       277:{1,4,6}:{(252,1),(253,1),(258,1),(287,1)}
       278:{1,4,6}:{(254,1),(255,1),(292,1),(295,1)}
       279:{2,4,5}:{(255,1),(256,1),(290,1),(295,1),(310,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(294,1),(297,1)}
       284:{1,3,7}:{(264,1),(265,1),(269,1),(298,1)}
       285:{2,3,4,7}:{(265,1),(266,1),(270,1),(275,1),(299,1),(300,1)}
       286:{3,5,7}:{(266,1),(267,1),(271,1),(301,1)}
       287:{2,4,6}:{(267,1),(268,1),(277,1),(301,1)}
       288:{2,3,6}:{(269,1),(272,1),(298,1),(302,1)}
       289:{1,3,4,6}:{(269,1),(270,1),(273,1),(278,1),(299,1),(302,1),(303,1),(313,1)}
       290:{2,3,5}:{(270,1),(271,1),(279,1),(303,1)}
       291:{2,4}:{(272,1),(273,1)}
       292:{1,4,7}:{(274,1),(275,1),(278,1)}
       293:{2,4,5,7}:{(275,1),(276,1),(279,1),(282,1),(300,1),(304,1),(305,1),(312,1)}
       294:{1,3,4,6}:{(276,1),(277,1),(280,1),(283,1),(301,1),(305,1),(313,1)}
       295:{1,4,5}:{(278,1),(279,1),(303,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(288,1),(307,1)}
       299:{1,3,4,7}:{(284,1),(285,1),(289,1),(292,1),(307,1),(308,1)}
       300:{2,3,5,7}:{(285,1),(286,1),(290,1),(293,1),(308,1),(309,1)}
       301:{3,6}:{(286,1),(287,1)}
       302:{2,4,6}:{(288,1),(289,1),(291,1),(307,1),(310,1),(314,1)}
       303:{1,3,5}:{(289,1),(290,1),(295,1),(310,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(295,1),(296,1),(308,1),(311,1)}
       305:{2,4,6}:{(293,1),(294,1),(297,1),(309,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(302,1),(312,1)}
       308:{1,3,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{2,3,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{2,5}:{(302,1),(303,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{1,3,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2505 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(25,1),(63,1),(74,1),(79,1),(88,1),(91,1),(139,1),(144,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(85,1),(154,1),(156,1),(177,1),(250,1)}
         2:{1,2,4,6}:{(0,1),(9,1),(10,1),(11,1),(33,1),(119,1),(283,1)}
         3:{1,2,3,5,7}:{(0,1),(11,1),(12,1),(52,1),(56,1),(115,1),(121,1),(187,1),(282,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(119,1),(217,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(128,1),(202,1),(204,1),(224,1),(295,1)}
         6:{2,3,4,5}:{(17,1),(18,1),(78,1),(136,1),(248,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(139,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(23,1),(24,1),(250,1)}
         9:{1,3,4,6}:{(2,1),(22,1),(25,1),(26,1),(60,1),(88,1),(139,1)}
        10:{1,2,4,5}:{(2,1),(25,1),(78,1),(144,1),(238,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(167,1),(325,1)}
        12:{1,2,3,6,7}:{(3,1),(29,1),(63,1),(88,1),(162,1),(169,1),(236,1),(350,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(157,1),(255,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(167,1),(264,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(268,1)}
        16:{1,2,3,5}:{(7,1),(33,1),(42,1),(95,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(37,1),(95,1),(111,1)}
        18:{2,3,4,6}:{(6,1),(8,1),(37,1),(39,1),(119,1),(182,1),(293,1)}
        19:{2,3,4,5,7}:{(6,1),(38,1),(39,1),(40,1),(109,1),(120,1),(183,1),(220,1),(278,1),(294,1),(304,1),(357,1),(372,1)}
        20:{1,2,4,6}:{(7,1),(33,1),(41,1),(42,1),(43,1),(116,1)}
        21:{1,2,3,7}:{(7,1),(43,1),(187,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(102,1),(119,1),(122,1),(182,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(37,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(39,1),(48,1),(49,1),(295,1)}
        25:{1,3,5}:{(9,1),(10,1),(45,1)}
        26:{1,3,4,7}:{(9,1),(11,1),(46,1),(52,1),(187,1)}
        27:{1,2,4,5,6}:{(10,1),(13,1),(47,1),(51,1),(54,1),(55,1),(97,1),(119,1),(191,1),(201,1),(205,1),(217,1),(225,1),(273,1),(283,1),(356,1)}
        28:{1,2,4,5,7}:{(10,1),(11,1),(52,1),(55,1),(56,1),(120,1),(132,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(53,1),(55,1),(56,1),(99,1),(216,1),(308,1),(383,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(206,1),(300,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(224,1)}
        33:{1,2,4}:{(16,1),(60,1)}
        34:{1,2,3,5,7}:{(16,1),(21,1),(62,1),(63,1),(75,1),(140,1),(144,1),(349,1),(350,1),(400,1)}
        35:{2,3,4}:{(60,1),(64,1)}
        36:{2,4,5}:{(17,1),(64,1),(66,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(66,1),(68,1),(139,1),(157,1)}
        38:{1,3,4,5,7}:{(17,1),(19,1),(67,1),(68,1),(69,1),(140,1),(153,1),(158,1),(238,1),(248,1),(325,1),(335,1),(337,1),(346,1),(402,1)}
        39:{2,3,4,7}:{(18,1),(24,1),(68,1),(167,1),(230,1),(335,1)}
        40:{2,3,4,6}:{(19,1),(69,1),(71,1),(168,1),(231,1),(267,1),(320,1),(345,1)}
        41:{1,3,4,6}:{(20,1),(22,1),(60,1),(72,1),(73,1),(139,1),(157,1),(160,1)}
        42:{1,2,5}:{(20,1),(72,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(73,1),(75,1)}
        44:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(236,1),(260,1),(347,1),(410,1)}
        45:{2,3,5}:{(22,1),(25,1),(72,1),(78,1)}
        46:{2,3,4,7}:{(22,1),(26,1),(73,1),(80,1),(148,1),(167,1),(230,1)}
        47:{2,5,6}:{(23,1),(66,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(68,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(268,1)}
        50:{1,3,4,5}:{(25,1),(78,1),(85,1),(238,1),(248,1),(321,1)}
        51:{1,3,5,6}:{(25,1),(27,1),(79,1),(85,1),(87,1),(88,1),(139,1),(250,1),(388,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,4,6,7}:{(26,1),(29,1),(81,1),(88,1),(89,1),(141,1),(179,1),(236,1),(262,1),(325,1),(348,1),(409,1)}
        54:{1,2,4,5,7}:{(27,1),(30,1),(82,1),(87,1),(90,1),(142,1),(167,1),(239,1),(249,1),(253,1),(264,1),(271,1),(316,1),(325,1),(387,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(91,1),(168,1),(179,1)}
        56:{1,2,5,7}:{(29,1),(89,1),(91,1),(144,1),(264,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(264,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(271,1),(272,1)}
        60:{1,3,4}:{(33,1),(35,1),(94,1),(95,1)}
        61:{1,2,4,5}:{(33,1),(36,1),(42,1),(95,1),(97,1),(111,1),(181,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(96,1),(99,1),(424,1)}
        63:{1,2,3,6}:{(34,1),(99,1),(116,1),(188,1),(383,1)}
        64:{2,3,5}:{(35,1),(36,1),(95,1),(102,1)}
        65:{2,3,4,7}:{(35,1),(96,1),(103,1),(104,1),(292,1),(427,1)}
        66:{2,4,6}:{(36,1),(37,1),(47,1),(102,1),(105,1)}
        67:{2,4,5,7}:{(36,1),(38,1),(103,1),(105,1),(106,1),(199,1),(200,1),(292,1),(374,1),(425,1)}
        68:{1,3,4,7}:{(37,1),(39,1),(48,1),(105,1),(187,1),(206,1)}
        69:{1,3,4,6}:{(38,1),(40,1),(106,1),(108,1),(188,1),(207,1),(283,1),(293,1),(381,1)}
        70:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(107,1),(109,1),(126,1),(216,1),(276,1),(312,1),(313,1),(357,1),(372,1),(380,1)}
        71:{2,3,5,6}:{(40,1),(108,1),(109,1),(110,1),(217,1),(311,1),(379,1)}
        72:{1,3,5}:{(41,1),(42,1),(45,1),(111,1)}
        73:{1,3,4,7}:{(41,1),(43,1),(46,1),(113,1),(187,1),(206,1)}
        74:{1,2,5,6}:{(42,1),(47,1),(97,1),(112,1),(115,1),(116,1),(273,1)}
        75:{1,2,5,7}:{(42,1),(43,1),(113,1),(116,1)}
        76:{1,2,4,6,7}:{(43,1),(44,1),(99,1),(114,1),(116,1),(117,1),(118,1),(212,1),(380,1)}
        77:{1,2,3,5,7}:{(44,1),(100,1),(117,1),(118,1),(213,1),(282,1),(366,1),(423,1),(450,1)}
        78:{2,4,5}:{(45,1),(50,1),(111,1),(119,1)}
        79:{2,3,5,6}:{(45,1),(47,1),(51,1),(102,1),(112,1),(119,1),(121,1),(122,1),(182,1),(217,1),(273,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(120,1),(122,1)}
        81:{2,3,4,6,7}:{(46,1),(53,1),(104,1),(114,1),(122,1),(123,1),(184,1),(197,1),(214,1),(216,1),(219,1),(276,1),(292,1),(306,1),(312,1),(357,1),(380,1)}
        82:{2,5,7}:{(47,1),(48,1),(105,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(109,1),(125,1),(126,1),(135,1),(227,1),(313,1)}
        85:{1,3,4,6}:{(50,1),(51,1),(119,1),(128,1),(283,1),(293,1),(358,1)}
        86:{1,3,4,5,7}:{(50,1),(52,1),(120,1),(128,1),(129,1),(132,1),(220,1),(224,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(128,1),(130,1),(187,1),(295,1),(412,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(131,1),(132,1),(189,1),(429,1)}
        90:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(124,1),(130,1),(133,1),(216,1),(221,1),(226,1),(299,1),(354,1),(411,1)}
        91:{1,2,5,6}:{(55,1),(56,1),(131,1),(217,1),(383,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(300,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(310,1)}
        94:{2,3,4}:{(60,1),(136,1)}
        95:{1,3,5}:{(60,1),(61,1),(64,1),(136,1),(139,1)}
        96:{1,3,4,7}:{(60,1),(62,1),(65,1),(137,1),(140,1),(141,1),(325,1),(440,1)}
        97:{1,2,4,6}:{(61,1),(66,1),(74,1),(139,1),(142,1),(157,1),(228,1)}
        98:{1,2,4,5,7}:{(61,1),(62,1),(67,1),(75,1),(140,1),(142,1),(143,1),(144,1),(158,1),(229,1),(238,1),(239,1),(325,1),(346,1),(349,1),(397,1),(438,1)}
        99:{1,2,4,6}:{(62,1),(63,1),(141,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(77,1),(144,1),(145,1),(163,1),(237,1),(241,1),(260,1),(329,1),(399,1),(400,1),(439,1)}
       101:{2,3,4,5}:{(64,1),(78,1),(138,1),(146,1),(321,1)}
       102:{2,3,6}:{(64,1),(66,1),(139,1),(148,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(67,1),(140,1),(148,1),(149,1),(150,1),(404,1),(441,1)}
       104:{2,3,4,6}:{(65,1),(141,1),(149,1),(150,1),(247,1)}
       105:{2,4,7}:{(66,1),(68,1),(82,1),(148,1)}
       106:{2,4,6}:{(67,1),(69,1),(149,1),(152,1)}
       107:{1,3,4,6,7}:{(68,1),(69,1),(70,1),(83,1),(151,1),(153,1),(173,1),(236,1),(254,1),(268,1),(325,1),(335,1),(353,1),(402,1),(409,1)}
       108:{1,3,5,6}:{(69,1),(71,1),(152,1),(153,1),(154,1),(250,1),(255,1),(408,1)}
       109:{2,3,5,7}:{(70,1),(71,1),(153,1),(155,1),(264,1),(352,1),(407,1)}
       110:{2,4,5,6}:{(71,1),(154,1),(155,1),(156,1),(320,1)}
       111:{1,4,5}:{(72,1),(78,1),(157,1)}
       112:{1,3,5,6}:{(72,1),(74,1),(79,1),(139,1),(157,1),(159,1),(160,1),(255,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(158,1),(160,1)}
       114:{1,3,4,6,7}:{(73,1),(76,1),(81,1),(141,1),(160,1),(161,1),(165,1),(236,1),(254,1),(257,1),(260,1),(325,1)}
       115:{1,2,5,7}:{(74,1),(82,1),(142,1),(159,1),(162,1),(316,1)}
       116:{1,2,6}:{(75,1),(160,1)}
       117:{1,2,5,7}:{(76,1),(144,1),(161,1),(163,1),(407,1)}
       118:{1,2,4,7}:{(77,1),(145,1),(165,1),(325,1),(395,1)}
       119:{2,4,6}:{(78,1),(79,1),(85,1),(157,1),(167,1)}
       120:{2,4,5,7}:{(78,1),(80,1),(86,1),(158,1),(167,1),(168,1),(264,1)}
       121:{2,3,5,7}:{(79,1),(82,1),(87,1),(148,1),(159,1),(167,1),(169,1),(230,1),(264,1),(316,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(168,1)}
       123:{2,3,5,7}:{(81,1),(89,1),(150,1),(161,1),(170,1),(171,1),(232,1),(264,1),(352,1),(407,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(153,1),(172,1),(173,1),(268,1),(272,1),(353,1)}
       126:{2,4,6,7}:{(84,1),(155,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(85,1),(166,1),(175,1),(177,1),(233,1),(324,1),(334,1),(388,1)}
       128:{1,3,4,7}:{(85,1),(87,1),(167,1),(325,1),(335,1),(389,1)}
       129:{1,3,4,6}:{(86,1),(88,1),(168,1),(177,1),(179,1),(267,1)}
       130:{1,3,6,7}:{(87,1),(88,1),(90,1),(169,1),(268,1),(430,1)}
       131:{1,3,5,6}:{(88,1),(89,1),(91,1),(170,1),(179,1),(348,1),(408,1)}
       132:{1,4,5,7}:{(89,1),(171,1),(179,1),(238,1),(325,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(178,1),(239,1),(264,1),(341,1),(386,1),(410,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(342,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(268,1),(352,1)}
       136:{2,3,5}:{(94,1),(95,1),(181,1),(182,1)}
       137:{2,3,4,7}:{(94,1),(96,1),(183,1),(184,1),(357,1),(448,1)}
       138:{1,3,4,5}:{(95,1),(101,1),(111,1),(181,1),(185,1)}
       139:{1,3,6}:{(95,1),(97,1),(102,1),(182,1),(187,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(183,1),(187,1),(188,1),(189,1),(422,1),(450,1)}
       141:{1,3,4,6}:{(96,1),(99,1),(104,1),(184,1),(188,1),(189,1),(283,1)}
       142:{1,2,4,7}:{(97,1),(105,1),(115,1),(187,1),(206,1),(274,1)}
       143:{1,2,4,6}:{(98,1),(106,1),(116,1),(188,1),(191,1),(207,1),(275,1),(283,1),(381,1),(383,1)}
       144:{1,2,5}:{(99,1),(189,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(192,1),(193,1),(283,1),(364,1),(424,1)}
       146:{2,3,4,6}:{(101,1),(102,1),(119,1),(185,1),(194,1),(195,1),(358,1)}
       147:{2,3,4,5,7}:{(101,1),(103,1),(120,1),(186,1),(195,1),(196,1),(199,1),(220,1),(290,1),(292,1),(304,1),(359,1),(414,1)}
       148:{2,3,7}:{(102,1),(105,1),(187,1)}
       149:{2,3,6}:{(103,1),(106,1),(188,1)}
       150:{2,3,5}:{(104,1),(189,1),(199,1)}
       151:{2,4,6,7}:{(105,1),(106,1),(107,1),(124,1),(197,1),(200,1),(292,1),(385,1),(425,1)}
       152:{2,5,6}:{(106,1),(108,1),(200,1)}
       153:{1,3,5,7}:{(107,1),(108,1),(109,1),(200,1),(202,1),(295,1),(300,1),(429,1)}
       154:{1,4,5,6}:{(108,1),(110,1),(201,1),(202,1),(283,1)}
       155:{2,4,5,7}:{(109,1),(110,1),(126,1),(202,1),(204,1),(357,1)}
       156:{3,4,5,6}:{(110,1),(204,1),(311,1),(358,1)}
       157:{1,4,6}:{(111,1),(112,1),(119,1),(206,1)}
       158:{1,4,5,7}:{(111,1),(113,1),(120,1),(206,1),(207,1),(300,1)}
       159:{1,3,5,7}:{(112,1),(115,1),(121,1),(187,1),(206,1),(208,1),(300,1)}
       160:{1,3,6}:{(113,1),(116,1),(122,1),(207,1)}
       161:{1,3,5,7}:{(114,1),(117,1),(123,1),(189,1),(209,1),(210,1),(300,1)}
       162:{1,2,6,7}:{(115,1),(116,1),(124,1),(208,1),(354,1)}
       163:{1,2,5,6}:{(116,1),(117,1),(209,1),(212,1),(379,1)}
       164:{1,2,4,5,7}:{(117,1),(118,1),(192,1),(210,1),(212,1),(213,1),(304,1)}
       165:{1,3,4,7}:{(118,1),(193,1),(213,1),(214,1),(450,1)}
       166:{2,4,5,6}:{(119,1),(127,1),(194,1),(205,1),(215,1),(217,1),(273,1)}
       167:{2,4,7}:{(119,1),(121,1),(128,1),(206,1)}
       168:{2,4,6}:{(120,1),(122,1),(129,1),(207,1),(217,1)}
       169:{2,3,6,7}:{(121,1),(122,1),(124,1),(130,1),(208,1),(216,1),(354,1)}
       170:{2,3,5,6}:{(122,1),(123,1),(131,1),(209,1),(217,1),(219,1),(306,1),(311,1),(379,1)}
       171:{2,4,5,7}:{(123,1),(132,1),(199,1),(210,1),(219,1),(220,1),(278,1),(292,1),(357,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(200,1),(221,1),(385,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(202,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(128,1),(215,1),(223,1),(224,1),(279,1),(361,1),(371,1),(412,1)}
       176:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(216,1),(224,1),(226,1),(312,1)}
       177:{1,3,5,6}:{(129,1),(217,1),(224,1),(225,1),(311,1)}
       178:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(218,1),(224,1),(226,1),(282,1),(382,1),(429,1)}
       179:{1,4,6}:{(131,1),(132,1),(219,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(378,1)}
       181:{2,4,5}:{(136,1),(138,1),(228,1)}
       182:{2,3,6}:{(136,1),(139,1),(228,1),(230,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(229,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,4,6}:{(137,1),(141,1),(231,1),(232,1),(320,1)}
       185:{1,3,4,6}:{(138,1),(139,1),(146,1),(157,1),(228,1),(233,1),(234,1)}
       186:{1,3,4,5,7}:{(138,1),(140,1),(147,1),(158,1),(229,1),(234,1),(235,1),(238,1),(321,1),(323,1),(325,1),(346,1),(389,1),(391,1),(433,1)}
       187:{1,3,7}:{(139,1),(142,1),(148,1),(230,1)}
       188:{1,3,6}:{(140,1),(143,1),(149,1),(231,1)}
       189:{1,3,5}:{(141,1),(144,1),(150,1),(232,1),(238,1)}
       190:{1,2,4,6,7}:{(142,1),(143,1),(151,1),(162,1),(236,1),(239,1),(254,1),(317,1),(325,1),(409,1),(410,1),(438,1)}
       191:{1,2,5,6}:{(143,1),(144,1),(152,1),(237,1),(239,1),(255,1),(318,1),(408,1)}
       192:{1,2,4,5}:{(144,1),(145,1),(238,1),(241,1),(327,1)}
       193:{1,3,4,6}:{(145,1),(165,1),(241,1),(242,1),(260,1),(439,1),(440,1)}
       194:{2,3,5,6}:{(146,1),(166,1),(233,1),(243,1),(388,1)}
       195:{2,3,4,7}:{(146,1),(148,1),(167,1),(234,1),(243,1),(389,1)}
       196:{2,3,4,6}:{(147,1),(149,1),(168,1),(235,1),(245,1),(247,1),(267,1),(345,1)}
       197:{2,3,6,7}:{(148,1),(149,1),(151,1),(236,1),(246,1),(268,1),(441,1)}
       198:{2,3,5,6}:{(149,1),(150,1),(152,1),(237,1),(246,1),(247,1),(250,1)}
       199:{2,4,5}:{(150,1),(238,1),(247,1),(248,1)}
       200:{2,5,7}:{(151,1),(152,1),(153,1)}
       201:{2,4,5,6}:{(152,1),(154,1),(247,1),(249,1),(250,1)}
       202:{1,4,5,7}:{(153,1),(154,1),(155,1),(173,1),(249,1),(325,1)}
       203:{1,3,4,5,6}:{(154,1),(156,1),(250,1),(251,1),(252,1),(326,1),(339,1),(343,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(352,1),(389,1)}
       205:{1,4,5,6}:{(157,1),(166,1),(233,1),(253,1),(255,1)}
       206:{1,4,7}:{(157,1),(159,1),(167,1)}
       207:{1,4,6}:{(158,1),(160,1),(168,1),(255,1)}
       208:{1,3,6,7}:{(159,1),(160,1),(162,1),(169,1),(254,1)}
       209:{1,3,5,6}:{(160,1),(161,1),(163,1),(170,1),(255,1),(257,1),(260,1)}
       210:{1,4,5,7}:{(161,1),(171,1),(238,1),(257,1),(325,1)}
       211:{1,2,5,6,7}:{(162,1),(163,1),(172,1),(239,1),(256,1),(259,1),(272,1),(386,1),(407,1),(442,1)}
       212:{1,2,4,6}:{(163,1),(164,1),(257,1),(260,1),(345,1)}
       213:{1,3,5,7}:{(164,1),(165,1),(241,1),(260,1),(261,1)}
       214:{2,3,4,7}:{(165,1),(242,1),(261,1),(262,1),(395,1),(441,1),(453,1)}
       215:{2,4,5,7}:{(166,1),(167,1),(175,1),(243,1),(253,1),(263,1),(264,1),(316,1)}
       216:{2,4,6,7}:{(167,1),(168,1),(169,1),(176,1),(254,1),(264,1)}
       217:{2,5,6}:{(168,1),(177,1),(255,1),(264,1)}
       218:{2,3,5,6,7}:{(169,1),(170,1),(172,1),(178,1),(246,1),(256,1),(264,1),(266,1),(268,1),(319,1),(347,1),(352,1),(386,1),(407,1),(430,1)}
       219:{2,4,6}:{(170,1),(171,1),(179,1),(257,1),(267,1)}
       220:{3,4,5,7}:{(171,1),(248,1),(267,1),(321,1),(335,1),(352,1),(389,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(249,1),(268,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(251,1),(268,1),(269,1),(353,1)}
       223:{1,3,4,6,7}:{(175,1),(263,1),(270,1),(322,1),(392,1),(401,1),(430,1)}
       224:{1,3,5,7}:{(176,1),(177,1),(264,1),(271,1),(352,1)}
       225:{1,4,5,6}:{(177,1),(179,1),(265,1),(271,1),(408,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(266,1),(271,1),(325,1)}
       227:{2,5,6,7}:{(180,1),(269,1),(272,1),(407,1)}
       228:{2,4,6}:{(181,1),(182,1),(185,1),(273,1),(274,1)}
       229:{2,4,5,7}:{(181,1),(183,1),(186,1),(274,1),(275,1),(278,1),(355,1),(357,1),(416,1),(446,1)}
       230:{2,3,7}:{(182,1),(187,1),(274,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,5}:{(184,1),(189,1),(278,1)}
       233:{1,3,5,6}:{(185,1),(194,1),(205,1),(273,1),(279,1)}
       234:{1,3,4,7}:{(185,1),(187,1),(195,1),(206,1),(274,1),(279,1)}
       235:{1,3,4,6}:{(186,1),(188,1),(196,1),(207,1),(275,1),(281,1),(283,1),(358,1),(381,1)}
       236:{1,3,6,7}:{(187,1),(188,1),(190,1),(197,1),(276,1),(282,1),(450,1)}
       237:{1,3,5,6}:{(188,1),(189,1),(191,1),(198,1),(277,1),(282,1),(283,1)}
       238:{1,4,5}:{(189,1),(199,1),(278,1),(283,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(200,1),(282,1),(300,1),(355,1),(429,1)}
       240:{1,2,4,5,6}:{(191,1),(192,1),(201,1),(212,1),(283,1),(285,1),(286,1),(298,1),(301,1),(356,1),(364,1),(376,1),(379,1),(419,1),(421,1),(445,1)}
       241:{1,3,5}:{(192,1),(193,1),(287,1)}
       242:{2,3,4,6}:{(193,1),(214,1),(287,1),(288,1),(306,1),(364,1),(426,1),(427,1),(447,1),(448,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(215,1),(279,1),(289,1),(412,1)}
       244:{2,3,4,6,7}:{(195,1),(196,1),(197,1),(216,1),(280,1),(289,1),(290,1),(292,1),(312,1),(370,1),(380,1),(414,1),(443,1)}
       245:{2,3,5,6}:{(196,1),(217,1),(281,1),(290,1),(291,1),(311,1),(379,1)}
       246:{2,3,5,7}:{(197,1),(198,1),(200,1),(282,1),(292,1),(295,1)}
       247:{2,4,6}:{(198,1),(199,1),(283,1),(292,1),(293,1)}
       248:{3,4,5}:{(199,1),(293,1)}
       249:{2,4,5,7}:{(200,1),(201,1),(202,1),(221,1),(292,1),(295,1)}
       250:{3,5,6}:{(201,1),(293,1),(295,1)}
       251:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(295,1),(297,1),(363,1),(375,1),(378,1)}
       252:{2,4,5,6}:{(203,1),(296,1),(297,1),(298,1),(364,1),(376,1),(379,1)}
       253:{1,4,5,7}:{(205,1),(206,1),(215,1),(279,1),(299,1),(300,1)}
       254:{1,4,6,7}:{(206,1),(207,1),(208,1),(216,1),(300,1)}
       255:{1,5,6}:{(207,1),(217,1),(300,1)}
       256:{1,3,5,6,7}:{(208,1),(209,1),(211,1),(218,1),(282,1),(300,1),(302,1),(305,1),(378,1)}
       257:{1,4,6}:{(209,1),(210,1),(219,1)}
       258:{1,3,4,5,7}:{(210,1),(213,1),(220,1),(284,1),(303,1),(304,1),(363,1),(378,1)}
       259:{1,2,4,6,7}:{(211,1),(212,1),(221,1),(285,1),(302,1),(305,1),(314,1),(380,1),(385,1),(411,1),(449,1),(454,1)}
       260:{1,3,6}:{(212,1),(213,1),(306,1)}
       261:{2,3,5,7}:{(213,1),(214,1),(287,1),(304,1),(306,1),(307,1)}
       262:{1,3,4,7}:{(214,1),(288,1),(307,1),(308,1),(420,1),(450,1)}
       263:{2,4,6,7}:{(215,1),(223,1),(289,1),(299,1),(309,1),(354,1)}
       264:{2,5,7}:{(216,1),(217,1),(224,1),(300,1)}
       265:{2,4,5,6}:{(217,1),(219,1),(225,1),(301,1),(310,1),(311,1),(379,1)}
       266:{2,4,6,7}:{(218,1),(219,1),(226,1),(292,1),(302,1),(310,1),(312,1),(357,1)}
       267:{3,4,6}:{(219,1),(220,1),(311,1)}
       268:{3,6,7}:{(221,1),(295,1)}
       269:{2,4,6,7}:{(222,1),(227,1),(297,1),(313,1),(314,1),(385,1)}
       270:{1,3,5,6,7}:{(223,1),(224,1),(309,1),(315,1),(384,1)}
       271:{1,4,5,7}:{(224,1),(225,1),(226,1),(310,1),(429,1)}
       272:{1,5,6,7}:{(227,1),(314,1),(429,1)}
       273:{2,5,6}:{(228,1),(233,1),(316,1)}
       274:{2,4,7}:{(228,1),(230,1),(234,1),(316,1)}
       275:{2,4,6}:{(229,1),(231,1),(235,1),(318,1)}
       276:{2,3,6,7}:{(230,1),(231,1),(236,1),(317,1),(319,1),(430,1),(453,1)}
       277:{2,3,5,6}:{(231,1),(232,1),(237,1),(318,1),(319,1),(320,1),(388,1)}
       278:{2,4,5}:{(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5,7}:{(233,1),(234,1),(243,1),(253,1),(316,1),(322,1)}
       280:{1,3,4,6,7}:{(234,1),(235,1),(236,1),(244,1),(254,1),(317,1),(322,1),(323,1),(325,1),(389,1),(392,1),(409,1),(430,1),(433,1),(451,1)}
       281:{1,3,5,6}:{(235,1),(245,1),(255,1),(318,1),(323,1),(324,1),(388,1),(408,1)}
       282:{1,3,5,7}:{(236,1),(237,1),(239,1),(246,1),(319,1),(325,1)}
       283:{1,4,6}:{(237,1),(238,1),(247,1),(320,1),(325,1)}
       284:{1,3,4,5}:{(238,1),(241,1),(248,1),(321,1),(326,1),(327,1)}
       285:{1,2,4,5,7}:{(239,1),(240,1),(249,1),(259,1),(325,1),(328,1),(340,1),(342,1),(387,1),(395,1),(405,1),(407,1),(437,1),(438,1),(452,1)}
       286:{1,3,5,6}:{(240,1),(241,1),(250,1),(260,1),(326,1),(328,1),(329,1),(388,1),(439,1)}
       287:{2,3,5}:{(241,1),(242,1),(327,1),(330,1)}
       288:{1,3,4,6}:{(242,1),(262,1),(330,1),(331,1),(348,1),(396,1),(439,1),(440,1)}
       289:{2,3,6,7}:{(243,1),(263,1),(322,1),(430,1)}
       290:{2,3,5,7}:{(244,1),(245,1),(264,1),(323,1),(333,1),(352,1),(407,1)}
       291:{2,4,5,6}:{(245,1),(247,1),(324,1),(333,1),(334,1)}
       292:{2,4,7}:{(246,1),(247,1),(325,1),(335,1)}
       293:{3,4,6}:{(247,1),(248,1),(250,1),(335,1)}
       294:{2,3,4,5}:{(248,1),(327,1),(336,1),(337,1),(435,1)}
       295:{3,5,7}:{(249,1),(250,1),(268,1),(335,1)}
       296:{2,3,5,6}:{(250,1),(252,1),(336,1),(338,1),(339,1)}
       297:{2,4,5,7}:{(251,1),(252,1),(269,1),(338,1),(340,1),(395,1),(405,1),(407,1)}
       298:{1,4,5,6}:{(252,1),(339,1),(340,1),(396,1),(408,1)}
       299:{1,4,6,7}:{(253,1),(263,1),(322,1),(341,1)}
       300:{1,5,7}:{(254,1),(255,1),(264,1)}
       301:{1,4,5,6}:{(255,1),(257,1),(265,1),(342,1),(343,1)}
       302:{1,4,6,7}:{(256,1),(257,1),(266,1),(325,1),(342,1)}
       303:{1,3,4,6}:{(257,1),(258,1),(260,1),(267,1),(343,1),(345,1)}
       304:{2,4,5,7}:{(258,1),(261,1),(327,1),(345,1),(346,1),(395,1),(407,1)}
       305:{1,3,6,7}:{(259,1),(260,1),(268,1),(328,1),(347,1),(430,1)}
       306:{2,3,6}:{(260,1),(261,1),(345,1),(348,1)}
       307:{1,3,5,7}:{(261,1),(262,1),(330,1),(346,1),(348,1),(349,1)}
       308:{1,2,4,7}:{(262,1),(331,1),(349,1),(350,1)}
       309:{2,5,6,7}:{(263,1),(264,1),(270,1),(341,1)}
       310:{2,4,5,7}:{(264,1),(265,1),(266,1),(271,1),(342,1),(352,1),(407,1)}
       311:{3,5,6}:{(265,1),(267,1),(352,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(268,1),(335,1),(352,1),(389,1),(430,1)}
       313:{2,3,6,7}:{(268,1),(269,1),(338,1),(353,1)}
       314:{1,4,6,7}:{(269,1),(272,1),(340,1),(353,1)}
       315:{1,4,5,6,7}:{(270,1),(271,1),(351,1),(392,1),(442,1)}
       316:{2,5,7}:{(273,1),(274,1),(279,1),(354,1)}
       317:{2,4,6,7}:{(274,1),(275,1),(276,1),(280,1),(354,1),(355,1),(357,1),(446,1),(454,1)}
       318:{2,5,6}:{(275,1),(281,1),(355,1)}
       319:{2,3,5,7}:{(276,1),(277,1),(282,1),(355,1),(357,1),(412,1)}
       320:{2,4,6}:{(277,1),(278,1),(283,1),(357,1),(358,1)}
       321:{3,4,5}:{(278,1),(358,1)}
       322:{1,3,6,7}:{(279,1),(289,1),(299,1),(354,1)}
       323:{1,3,5,7}:{(280,1),(281,1),(290,1),(300,1),(355,1),(361,1),(412,1),(429,1)}
       324:{1,4,5,6}:{(281,1),(283,1),(291,1),(356,1),(361,1)}
       325:{1,4,7}:{(282,1),(283,1),(292,1),(357,1)}
       326:{1,3,4,6}:{(283,1),(284,1),(286,1),(293,1),(358,1),(363,1),(364,1)}
       327:{2,4,5}:{(284,1),(287,1),(364,1),(365,1)}
       328:{1,3,5,7}:{(285,1),(286,1),(295,1),(305,1),(363,1),(366,1),(412,1),(450,1)}
       329:{2,3,5,6}:{(286,1),(287,1),(306,1),(364,1),(366,1),(367,1),(376,1),(379,1),(426,1),(445,1),(447,1)}
       330:{1,3,5}:{(287,1),(288,1),(365,1),(368,1)}
       331:{1,2,4,6}:{(288,1),(308,1),(368,1),(369,1),(383,1),(424,1)}
       332:{2,3,5,6,7}:{(289,1),(290,1),(309,1),(360,1),(370,1),(384,1),(428,1),(443,1)}
       333:{2,4,5,7}:{(290,1),(291,1),(292,1),(361,1),(370,1),(371,1)}
       334:{3,4,5,6}:{(291,1),(293,1),(311,1),(371,1)}
       335:{3,4,7}:{(292,1),(293,1),(295,1)}
       336:{2,3,4,6}:{(293,1),(294,1),(296,1),(364,1),(372,1),(373,1),(447,1)}
       337:{1,3,4,5}:{(294,1),(365,1),(373,1),(374,1),(422,1)}
       338:{2,3,5,7}:{(295,1),(296,1),(297,1),(313,1),(372,1),(375,1)}
       339:{1,3,5,6}:{(296,1),(298,1),(373,1),(375,1),(376,1)}
       340:{1,4,5,7}:{(297,1),(298,1),(314,1),(375,1),(420,1),(429,1)}
       341:{1,5,6,7}:{(299,1),(300,1),(309,1)}
       342:{1,4,5,7}:{(300,1),(301,1),(302,1),(310,1),(378,1)}
       343:{1,3,5,6}:{(301,1),(303,1),(311,1),(378,1),(379,1)}
       344:{1,3,4,6,7}:{(302,1),(303,1),(305,1),(312,1),(363,1),(378,1),(380,1)}
       345:{2,4,6}:{(303,1),(304,1),(306,1),(379,1),(381,1)}
       346:{1,4,5,7}:{(304,1),(307,1),(365,1),(381,1),(420,1),(429,1)}
       347:{2,3,6,7}:{(305,1),(306,1),(366,1),(380,1),(382,1),(385,1),(454,1)}
       348:{1,3,6}:{(306,1),(307,1),(381,1),(383,1)}
       349:{1,2,5,7}:{(307,1),(308,1),(368,1),(383,1)}
       350:{1,2,3,7}:{(308,1),(369,1),(450,1)}
       351:{2,4,5,6,7}:{(309,1),(310,1),(315,1),(370,1),(377,1),(384,1),(411,1),(428,1)}
       352:{3,5,7}:{(310,1),(311,1),(312,1)}
       353:{1,3,6,7}:{(313,1),(314,1),(375,1),(385,1)}
       354:{2,6,7}:{(316,1),(322,1)}
       355:{2,5,7}:{(317,1),(318,1),(323,1)}
       356:{2,4,5,6}:{(318,1),(320,1),(324,1),(387,1),(388,1)}
       357:{2,4,7}:{(319,1),(320,1),(325,1),(389,1)}
       358:{3,4,6}:{(320,1),(321,1),(388,1),(389,1)}
       359:{2,3,4,5}:{(321,1),(327,1),(390,1),(391,1),(404,1)}
       360:{1,3,5,6,7}:{(322,1),(323,1),(332,1),(341,1),(386,1),(392,1),(430,1),(442,1),(451,1)}
       361:{1,4,5,7}:{(323,1),(324,1),(325,1),(333,1),(387,1),(392,1)}
       362:{1,3,4,5,6}:{(324,1),(326,1),(334,1),(343,1),(388,1),(393,1),(394,1),(432,1)}
       363:{1,3,4,7}:{(325,1),(326,1),(328,1),(335,1),(389,1),(395,1)}
       364:{2,4,6}:{(326,1),(327,1),(329,1),(395,1),(396,1)}
       365:{1,4,5}:{(327,1),(330,1),(396,1)}
       366:{2,3,5,7}:{(328,1),(329,1),(347,1),(395,1),(398,1),(405,1),(407,1),(441,1),(452,1),(453,1)}
       367:{1,3,5,6}:{(329,1),(330,1),(348,1),(396,1),(398,1),(399,1),(408,1),(439,1)}
       368:{1,2,5}:{(330,1),(331,1)}
       369:{1,2,3,6}:{(331,1),(350,1),(400,1),(439,1)}
       370:{2,4,6,7}:{(332,1),(333,1),(392,1),(401,1)}
       371:{3,4,5,7}:{(333,1),(334,1),(335,1),(352,1),(401,1)}
       372:{2,3,4,7}:{(335,1),(336,1),(338,1),(395,1),(402,1),(453,1)}
       373:{1,3,4,6}:{(336,1),(337,1),(339,1),(396,1),(402,1),(403,1),(439,1)}
       374:{2,4,5}:{(337,1),(403,1),(404,1)}
       375:{1,3,5,7}:{(338,1),(339,1),(340,1),(353,1),(402,1),(405,1)}
       376:{2,5,6}:{(339,1),(403,1),(405,1)}
       377:{1,4,5,6,7}:{(341,1),(342,1),(351,1),(392,1),(406,1)}
       378:{1,3,5,7}:{(342,1),(343,1),(344,1),(352,1),(407,1)}
       379:{2,5,6}:{(343,1),(345,1),(407,1),(408,1)}
       380:{2,4,6,7}:{(344,1),(345,1),(347,1),(395,1),(407,1),(409,1)}
       381:{1,4,6}:{(345,1),(346,1),(348,1),(408,1)}
       382:{1,3,6,7}:{(347,1),(348,1),(398,1),(409,1),(410,1)}
       383:{1,2,6}:{(348,1),(349,1)}
       384:{3,5,6,7}:{(351,1),(352,1),(401,1),(430,1)}
       385:{2,6,7}:{(353,1),(405,1)}
       386:{2,5,6,7}:{(354,1),(355,1),(360,1),(411,1),(454,1)}
       387:{2,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(412,1)}
       388:{3,5,6}:{(356,1),(358,1),(412,1)}
       389:{3,4,7}:{(357,1),(358,1),(412,1)}
       390:{2,3,4,6}:{(358,1),(359,1),(364,1),(413,1),(414,1),(415,1),(426,1)}
       391:{1,3,4,5}:{(359,1),(365,1),(415,1),(416,1),(422,1)}
       392:{1,4,6,7}:{(360,1),(361,1),(370,1),(411,1)}
       393:{1,3,4,5,7}:{(361,1),(362,1),(363,1),(371,1),(378,1),(412,1),(417,1),(418,1),(444,1)}
       394:{2,4,5,6}:{(362,1),(364,1),(379,1),(413,1),(418,1),(419,1),(445,1)}
       395:{2,4,7}:{(363,1),(364,1),(366,1),(420,1)}
       396:{1,4,6}:{(364,1),(365,1),(367,1),(420,1)}
       397:{1,2,4,5}:{(365,1),(368,1),(374,1),(416,1),(421,1),(422,1),(424,1)}
       398:{1,3,5,7}:{(366,1),(367,1),(382,1),(420,1),(423,1),(429,1),(450,1)}
       399:{1,2,5,6}:{(367,1),(368,1),(376,1),(383,1),(421,1),(423,1),(445,1)}
       400:{1,2,3,5}:{(368,1),(369,1),(422,1),(424,1)}
       401:{3,4,6,7}:{(370,1),(371,1),(384,1)}
       402:{1,3,4,7}:{(372,1),(373,1),(375,1),(420,1),(425,1),(450,1)}
       403:{2,4,6}:{(373,1),(374,1),(376,1),(425,1),(426,1)}
       404:{2,3,5}:{(374,1),(422,1),(426,1),(427,1)}
       405:{2,5,7}:{(375,1),(376,1),(385,1),(425,1)}
       406:{1,3,5,6,7}:{(377,1),(378,1),(384,1),(417,1),(428,1)}
       407:{2,5,7}:{(378,1),(379,1),(380,1),(429,1)}
       408:{1,5,6}:{(379,1),(381,1),(429,1)}
       409:{1,4,6,7}:{(380,1),(381,1),(382,1),(420,1),(429,1)}
       410:{1,2,6,7}:{(382,1),(383,1),(385,1),(423,1),(454,1)}
       411:{2,4,6,7}:{(386,1),(387,1),(392,1),(430,1)}
       412:{3,5,7}:{(387,1),(388,1),(389,1),(430,1)}
       413:{2,3,5,6}:{(388,1),(390,1),(394,1),(431,1),(432,1)}
       414:{2,3,4,7}:{(389,1),(390,1),(395,1),(431,1),(433,1),(441,1)}
       415:{1,3,4,6}:{(390,1),(391,1),(396,1),(432,1),(433,1),(434,1),(439,1)}
       416:{2,4,5}:{(391,1),(434,1),(435,1)}
       417:{1,3,4,6,7}:{(392,1),(393,1),(401,1),(406,1),(430,1),(436,1),(451,1)}
       418:{2,4,5,7}:{(393,1),(394,1),(395,1),(407,1),(431,1),(436,1),(437,1),(452,1)}
       419:{1,4,5,6}:{(394,1),(396,1),(408,1),(432,1),(437,1)}
       420:{1,4,7}:{(395,1),(396,1),(398,1)}
       421:{1,2,4,6}:{(396,1),(397,1),(399,1),(403,1),(434,1),(438,1),(439,1)}
       422:{1,3,5}:{(397,1),(404,1),(435,1),(439,1),(440,1)}
       423:{1,2,5,7}:{(398,1),(399,1),(405,1),(410,1),(438,1),(452,1)}
       424:{1,2,4}:{(400,1),(440,1)}
       425:{2,4,7}:{(402,1),(403,1),(405,1),(441,1)}
       426:{2,3,6}:{(403,1),(404,1),(439,1),(441,1)}
       427:{2,3,4}:{(404,1),(440,1)}
       428:{2,5,6,7}:{(406,1),(407,1),(436,1),(442,1)}
       429:{1,5,7}:{(407,1),(408,1),(409,1)}
       430:{3,6,7}:{(411,1),(412,1)}
       431:{2,3,5,7}:{(412,1),(413,1),(414,1),(418,1),(443,1),(444,1)}
       432:{1,3,5,6}:{(413,1),(415,1),(419,1),(444,1),(445,1)}
       433:{1,3,4,7}:{(414,1),(415,1),(420,1),(444,1),(446,1),(450,1)}
       434:{2,4,6}:{(415,1),(416,1),(445,1),(446,1),(447,1)}
       435:{2,3,5}:{(416,1),(422,1),(447,1),(448,1)}
       436:{2,4,6,7}:{(417,1),(418,1),(428,1),(443,1),(449,1),(454,1)}
       437:{1,4,5,7}:{(418,1),(419,1),(420,1),(429,1),(444,1),(449,1)}
       438:{1,2,4,7}:{(420,1),(421,1),(423,1),(425,1),(446,1),(450,1)}
       439:{1,3,6}:{(421,1),(422,1),(426,1),(447,1),(450,1)}
       440:{1,3,4}:{(422,1),(424,1),(427,1),(448,1)}
       441:{2,3,7}:{(425,1),(426,1),(450,1)}
       442:{1,5,6,7}:{(428,1),(429,1),(449,1)}
       443:{2,3,6,7}:{(430,1),(431,1),(436,1),(451,1)}
       444:{1,3,5,7}:{(431,1),(432,1),(433,1),(437,1),(451,1),(452,1)}
       445:{2,5,6}:{(432,1),(434,1),(452,1)}
       446:{2,4,7}:{(433,1),(434,1),(452,1),(453,1)}
       447:{2,3,6}:{(434,1),(435,1),(439,1),(453,1)}
       448:{2,3,4}:{(435,1),(440,1)}
       449:{1,4,6,7}:{(436,1),(437,1),(442,1),(451,1)}
       450:{1,3,7}:{(438,1),(439,1),(441,1),(453,1)}
       451:{1,3,6,7}:{(443,1),(444,1),(449,1),(454,1)}
       452:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       453:{2,3,7}:{(446,1),(447,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2506 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2507 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(79,1),(126,1),(132,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(108,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(95,1),(111,1),(113,1),(141,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(43,1),(83,1),(126,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(21,1),(87,1),(90,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(115,1),(154,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(58,1),(100,1),(109,1),(111,1)}
         7:{3,4,5,6,7}:{(14,1),(107,1),(176,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(147,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(32,1),(65,1),(69,1),(141,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(94,1),(139,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(20,1),(21,1),(44,1),(84,1),(87,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(19,1),(21,1),(22,1),(75,1),(122,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(23,1),(83,1),(163,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(23,1),(24,1),(50,1),(159,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(25,1),(154,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(21,1),(25,1),(26,1)}
        18:{2,3,4,6}:{(11,1),(22,1),(26,1),(27,1)}
        19:{2,3,5,6}:{(13,1),(29,1),(30,1),(60,1),(105,1),(109,1)}
        20:{1,2,4,6,7}:{(12,1),(16,1),(31,1),(32,1),(62,1),(65,1),(100,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(17,1),(29,1),(32,1),(33,1)}
        22:{1,3,4,6}:{(13,1),(18,1),(30,1),(33,1),(34,1)}
        23:{1,4,5,6,7}:{(14,1),(15,1),(35,1),(65,1),(173,1)}
        24:{2,5,6,7}:{(15,1),(16,1),(168,1)}
        25:{2,3,6,7}:{(16,1),(17,1),(32,1),(139,1)}
        26:{2,3,4,7}:{(17,1),(18,1),(33,1)}
        27:{2,3,4,5}:{(18,1),(34,1),(94,1)}
        28:{1,2,3,5,6}:{(19,1),(40,1),(41,1),(75,1),(118,1),(122,1),(124,1)}
        29:{2,3,5,7}:{(19,1),(21,1),(43,1),(44,1),(84,1)}
        30:{2,4,6}:{(19,1),(22,1),(44,1),(45,1)}
        31:{1,2,5,6,7}:{(20,1),(24,1),(46,1),(84,1),(124,1)}
        32:{1,3,6,7}:{(20,1),(21,1),(25,1),(43,1),(122,1)}
        33:{1,3,4,7}:{(21,1),(22,1),(26,1),(44,1)}
        34:{1,3,4,5}:{(22,1),(27,1),(45,1),(75,1)}
        35:{2,4,5,6,7}:{(23,1),(24,1),(50,1),(51,1),(179,1)}
        36:{2,3,5,6,7}:{(24,1),(25,1),(46,1),(50,1),(51,1),(52,1),(157,1)}
        37:{2,3,4,6,7}:{(25,1),(26,1),(47,1),(51,1),(52,1),(53,1)}
        38:{2,3,4,5,7}:{(26,1),(27,1),(48,1),(52,1),(53,1),(117,1),(156,1)}
        39:{2,3,4,5,6}:{(27,1),(49,1),(53,1),(54,1),(118,1),(179,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(56,1),(57,1),(97,1),(99,1),(140,1)}
        41:{1,2,4,6}:{(28,1),(30,1),(55,1),(57,1),(58,1),(137,1)}
        42:{2,3,4,6}:{(30,1),(55,1),(59,1),(60,1),(105,1)}
        43:{2,3,6,7}:{(29,1),(32,1),(62,1),(105,1)}
        44:{2,4,7}:{(29,1),(30,1),(33,1)}
        45:{2,4,5}:{(30,1),(34,1),(60,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(36,1),(61,1),(65,1),(66,1),(144,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(65,1),(66,1),(67,1),(107,1)}
        48:{1,3,4,5,7}:{(33,1),(34,1),(38,1),(63,1),(66,1),(67,1),(97,1),(143,1),(149,1)}
        49:{1,3,4,5,6}:{(34,1),(39,1),(64,1),(67,1),(68,1),(98,1),(173,1),(176,1)}
        50:{3,5,6,7}:{(35,1),(69,1),(185,1)}
        51:{2,4,6,7}:{(36,1),(65,1),(69,1),(70,1),(171,1)}
        52:{2,3,5,7}:{(37,1),(66,1),(70,1),(71,1)}
        53:{2,3,4,6}:{(38,1),(67,1),(71,1),(139,1),(171,1)}
        54:{2,3,4,5,7}:{(39,1),(68,1),(72,1),(140,1),(186,1)}
        55:{1,3,4,6}:{(41,1),(42,1),(73,1),(74,1),(75,1),(122,1)}
        56:{1,2,3,6,7}:{(40,1),(43,1),(76,1),(122,1),(158,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(44,1),(74,1),(155,1)}
        58:{1,2,4,5}:{(41,1),(45,1),(75,1),(115,1)}
        59:{2,3,4,7}:{(42,1),(44,1),(74,1),(81,1)}
        60:{2,3,5}:{(42,1),(45,1),(75,1)}
        61:{2,3,5,6,7}:{(43,1),(46,1),(83,1),(84,1),(129,1),(131,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(47,1),(84,1),(85,1)}
        63:{2,4,5,7}:{(44,1),(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{2,4,5,6}:{(45,1),(49,1),(82,1),(85,1),(86,1)}
        65:{1,4,6,7}:{(46,1),(51,1),(83,1),(87,1),(161,1)}
        66:{1,3,5,7}:{(47,1),(52,1),(84,1),(87,1),(88,1),(131,1)}
        67:{1,3,4,6}:{(48,1),(53,1),(85,1),(88,1),(122,1),(161,1),(165,1)}
        68:{1,3,4,5,7}:{(49,1),(54,1),(86,1),(89,1),(123,1),(183,1),(184,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(90,1),(181,1)}
        70:{2,4,5,7}:{(51,1),(52,1),(87,1),(90,1),(91,1)}
        71:{2,3,5,6}:{(52,1),(53,1),(88,1),(91,1)}
        72:{2,3,4,6,7}:{(53,1),(54,1),(89,1),(92,1),(158,1),(182,1)}
        73:{2,3,4,6}:{(55,1),(93,1),(94,1),(137,1),(139,1)}
        74:{1,3,4,7}:{(55,1),(57,1),(59,1),(93,1),(97,1)}
        75:{1,3,5}:{(55,1),(58,1),(60,1),(94,1)}
        76:{1,2,4,6,7}:{(56,1),(57,1),(62,1),(96,1),(99,1),(100,1),(169,1)}
        77:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(97,1),(99,1),(100,1),(136,1),(143,1)}
        78:{1,2,4,5,6}:{(58,1),(64,1),(98,1),(100,1),(101,1),(137,1),(168,1),(173,1)}
        79:{2,3,4,5}:{(60,1),(95,1),(103,1)}
        80:{2,3,4,6,7}:{(59,1),(62,1),(96,1),(104,1),(105,1),(107,1),(150,1)}
        81:{2,3,5,7}:{(59,1),(60,1),(63,1),(97,1),(105,1)}
        82:{2,3,5,6}:{(60,1),(64,1),(98,1),(103,1),(105,1),(106,1)}
        83:{2,4,6,7}:{(61,1),(65,1),(107,1),(108,1),(150,1)}
        84:{2,5,7}:{(62,1),(66,1),(109,1)}
        85:{2,4,6}:{(63,1),(67,1),(105,1),(109,1)}
        86:{2,4,5,7}:{(64,1),(68,1),(106,1),(110,1)}
        87:{1,4,5,7}:{(65,1),(66,1),(70,1),(108,1),(111,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(71,1),(109,1),(111,1),(152,1)}
        89:{1,3,4,6,7}:{(67,1),(68,1),(72,1),(110,1),(112,1),(145,1),(175,1),(178,1)}
        90:{3,4,5,7}:{(69,1),(70,1),(113,1)}
        91:{2,4,5,6}:{(70,1),(71,1),(111,1),(113,1),(171,1)}
        92:{2,3,5,6,7}:{(71,1),(72,1),(112,1),(114,1)}
        93:{2,3,4,7}:{(73,1),(74,1),(117,1),(155,1)}
        94:{2,3,5}:{(73,1),(75,1),(115,1)}
        95:{1,3,4,5}:{(75,1),(79,1),(115,1),(120,1)}
        96:{1,3,4,6,7}:{(74,1),(76,1),(80,1),(116,1),(121,1),(122,1),(161,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(77,1),(81,1),(117,1),(122,1)}
        98:{1,3,5,6}:{(75,1),(78,1),(82,1),(118,1),(120,1),(122,1),(123,1)}
        99:{1,2,5,7}:{(76,1),(84,1),(121,1),(124,1),(180,1)}
       100:{1,2,4,6}:{(77,1),(85,1),(122,1),(124,1),(154,1),(161,1)}
       101:{1,2,4,5,7}:{(78,1),(86,1),(123,1),(125,1),(155,1),(180,1),(183,1)}
       102:{2,3,4,5,7}:{(79,1),(81,1),(119,1),(126,1),(127,1),(128,1),(164,1)}
       103:{2,3,4,6}:{(79,1),(82,1),(120,1),(127,1)}
       104:{2,3,5,7}:{(80,1),(84,1),(121,1),(128,1),(129,1),(131,1)}
       105:{2,3,6}:{(81,1),(85,1),(122,1)}
       106:{2,3,5,7}:{(82,1),(86,1),(123,1),(127,1),(130,1)}
       107:{3,4,6,7}:{(83,1),(131,1),(165,1)}
       108:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(132,1)}
       109:{2,5,6}:{(84,1),(85,1),(88,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(89,1),(130,1),(133,1)}
       111:{1,4,5,6}:{(87,1),(88,1),(91,1),(132,1),(161,1)}
       112:{1,3,5,6,7}:{(88,1),(89,1),(92,1),(133,1),(134,1),(167,1)}
       113:{3,4,5,6}:{(90,1),(91,1),(181,1)}
       114:{2,4,5,6,7}:{(91,1),(92,1),(134,1),(135,1),(182,1)}
       115:{2,4,5}:{(94,1),(95,1),(137,1)}
       116:{2,3,4,6,7}:{(93,1),(96,1),(138,1),(139,1),(169,1),(171,1),(187,1)}
       117:{2,3,5,7}:{(93,1),(94,1),(97,1),(136,1),(139,1)}
       118:{2,3,5,6}:{(94,1),(98,1),(137,1),(139,1),(140,1),(168,1)}
       119:{1,3,4,5,7}:{(95,1),(97,1),(102,1),(136,1),(141,1),(142,1),(143,1),(170,1),(174,1)}
       120:{1,3,4,6}:{(95,1),(98,1),(103,1),(137,1),(142,1)}
       121:{1,3,5,7}:{(96,1),(99,1),(104,1),(138,1),(143,1),(144,1)}
       122:{1,3,6}:{(97,1),(100,1),(105,1),(139,1)}
       123:{1,3,5,7}:{(98,1),(101,1),(106,1),(140,1),(142,1),(145,1)}
       124:{1,2,5,6}:{(99,1),(100,1),(109,1),(144,1),(168,1)}
       125:{1,2,4,6,7}:{(100,1),(101,1),(110,1),(145,1),(146,1),(169,1),(175,1)}
       126:{2,3,4,6}:{(102,1),(105,1),(141,1),(147,1),(150,1)}
       127:{2,3,4,7}:{(103,1),(106,1),(142,1)}
       128:{2,4,5,7}:{(104,1),(143,1),(149,1),(150,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(109,1),(144,1),(150,1),(152,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(110,1),(145,1)}
       131:{3,5,7}:{(107,1),(108,1),(152,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(111,1),(150,1),(152,1)}
       133:{2,5,6,7}:{(109,1),(110,1),(112,1)}
       134:{1,4,5,6,7}:{(111,1),(112,1),(114,1),(153,1),(175,1)}
       135:{3,4,5,6,7}:{(113,1),(114,1),(187,1)}
       136:{2,4,5,7}:{(115,1),(117,1),(119,1),(154,1),(155,1),(180,1)}
       137:{2,4,6}:{(115,1),(118,1),(120,1),(155,1)}
       138:{2,3,5,7}:{(116,1),(121,1),(156,1),(157,1),(180,1),(188,1)}
       139:{2,3,6}:{(117,1),(122,1),(154,1)}
       140:{2,3,5,7}:{(118,1),(123,1),(155,1),(158,1),(180,1)}
       141:{1,3,4,6}:{(119,1),(122,1),(126,1),(154,1),(159,1),(161,1),(181,1)}
       142:{1,3,4,7}:{(120,1),(123,1),(127,1),(155,1)}
       143:{1,4,5,7}:{(121,1),(128,1),(156,1),(161,1)}
       144:{1,3,5,6}:{(121,1),(122,1),(124,1),(129,1),(157,1),(161,1)}
       145:{1,3,6,7}:{(122,1),(123,1),(125,1),(130,1),(158,1)}
       146:{1,2,5,6,7}:{(124,1),(125,1),(133,1),(162,1),(180,1)}
       147:{2,3,5,6}:{(126,1),(159,1),(163,1),(164,1)}
       148:{2,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(164,1),(166,1)}
       149:{3,4,5,7}:{(128,1),(131,1),(165,1)}
       150:{2,4,6}:{(128,1),(129,1),(161,1),(165,1)}
       151:{2,3,5,6,7}:{(129,1),(130,1),(133,1),(162,1),(164,1),(166,1),(167,1)}
       152:{3,5,6}:{(131,1),(132,1),(165,1)}
       153:{2,4,5,6,7}:{(132,1),(133,1),(134,1),(166,1),(167,1)}
       154:{2,4,6}:{(136,1),(139,1),(141,1),(168,1)}
       155:{2,4,7}:{(137,1),(140,1),(142,1)}
       156:{2,4,5,7}:{(138,1),(143,1),(170,1),(171,1)}
       157:{2,3,5,6}:{(138,1),(139,1),(144,1),(168,1),(171,1),(185,1)}
       158:{2,3,6,7}:{(139,1),(140,1),(145,1),(169,1)}
       159:{1,3,5,6}:{(141,1),(147,1),(168,1),(173,1),(174,1),(185,1)}
       160:{1,3,4,6,7}:{(141,1),(142,1),(145,1),(148,1),(169,1),(174,1),(175,1),(187,1)}
       161:{1,4,6}:{(143,1),(144,1),(150,1),(171,1)}
       162:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(151,1),(172,1),(174,1),(175,1)}
       163:{2,4,5,6}:{(147,1),(150,1),(173,1),(176,1),(177,1)}
       164:{2,3,5,7}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,6}:{(149,1),(150,1),(152,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(175,1),(177,1),(178,1)}
       167:{3,5,6,7}:{(152,1),(153,1),(178,1)}
       168:{2,5,6}:{(154,1),(159,1),(180,1)}
       169:{2,4,6,7}:{(154,1),(155,1),(158,1),(160,1),(180,1)}
       170:{3,4,5,7}:{(156,1),(181,1),(188,1)}
       171:{2,4,6}:{(156,1),(157,1),(161,1),(181,1)}
       172:{2,3,5,6,7}:{(157,1),(158,1),(162,1),(180,1),(182,1),(188,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(163,1),(179,1),(183,1)}
       174:{1,3,5,7}:{(159,1),(160,1),(164,1),(180,1),(183,1),(188,1)}
       175:{1,4,6,7}:{(161,1),(162,1),(166,1),(182,1),(183,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{2,4,5,7}:{(163,1),(164,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(165,1),(166,1),(167,1),(184,1)}
       179:{2,4,5,6}:{(168,1),(171,1),(173,1),(185,1),(186,1)}
       180:{2,5,7}:{(168,1),(169,1),(174,1)}
       181:{3,4,6}:{(170,1),(171,1),(185,1)}
       182:{2,4,6,7}:{(171,1),(172,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(181,1),(188,1)}
       186:{2,4,5,7}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6,7}:{(181,1),(182,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2508 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2509 :   0:{2,3,4,5,6}:{(1,1),(2,1),(21,1),(94,1),(143,1),(149,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(12,1),(113,1),(130,1),(131,1),(156,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(36,1),(128,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(132,1),(167,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(23,1),(106,1),(108,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(55,1),(104,1),(143,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(13,1),(35,1),(66,1),(119,1),(127,1),(130,1)}
         7:{2,3,5,6}:{(3,1),(12,1),(14,1),(15,1),(111,1),(154,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(15,1),(16,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(16,1),(17,1),(39,1),(81,1),(84,1),(156,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(161,1)}
        11:{2,3,4,5,6}:{(19,1),(20,1),(25,1),(59,1),(85,1),(185,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(90,1),(140,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(54,1),(103,1),(106,1)}
        14:{2,3,4,6}:{(7,1),(22,1),(25,1),(26,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(23,1),(26,1),(27,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(167,1)}
        17:{1,3,5,6,7}:{(9,1),(10,1),(28,1),(29,1),(62,1),(172,1)}
        18:{2,4,5,6,7}:{(10,1),(29,1),(30,1),(104,1),(175,1)}
        19:{1,3,4,5,6}:{(11,1),(32,1),(33,1),(37,1),(63,1),(79,1),(183,1),(184,1)}
        20:{2,3,4,5,7}:{(11,1),(33,1),(34,1),(110,1),(179,1)}
        21:{2,3,5,6}:{(12,1),(35,1),(36,1),(74,1),(125,1),(127,1)}
        22:{1,3,4,6}:{(12,1),(14,1),(35,1),(37,1),(38,1)}
        23:{1,3,5,7}:{(12,1),(13,1),(15,1),(36,1),(38,1),(39,1)}
        24:{1,2,4,6,7}:{(13,1),(16,1),(39,1),(40,1),(77,1),(81,1),(119,1)}
        25:{2,3,4,5}:{(14,1),(37,1),(111,1)}
        26:{2,3,4,7}:{(14,1),(15,1),(38,1)}
        27:{2,3,6,7}:{(15,1),(16,1),(39,1),(154,1)}
        28:{2,5,6,7}:{(16,1),(17,1),(178,1)}
        29:{1,4,5,6,7}:{(17,1),(18,1),(44,1),(81,1),(183,1)}
        30:{3,4,5,6,7}:{(18,1),(129,1),(184,1)}
        31:{1,2,3,5,6}:{(21,1),(46,1),(47,1),(85,1),(90,1),(140,1),(142,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(49,1),(53,1),(102,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(49,1),(50,1),(88,1),(173,1),(176,1)}
        34:{2,3,4,6,7}:{(20,1),(50,1),(51,1),(59,1),(134,1),(169,1)}
        35:{2,4,6}:{(21,1),(22,1),(53,1),(54,1)}
        36:{2,3,5,7}:{(21,1),(23,1),(54,1),(55,1),(103,1)}
        37:{1,3,4,5}:{(22,1),(25,1),(53,1),(90,1)}
        38:{1,3,4,7}:{(22,1),(23,1),(26,1),(54,1)}
        39:{1,3,6,7}:{(23,1),(24,1),(27,1),(55,1),(140,1)}
        40:{1,2,5,6,7}:{(24,1),(28,1),(58,1),(103,1),(142,1)}
        41:{2,3,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(60,1),(135,1),(171,1)}
        42:{2,3,4,6,7}:{(26,1),(27,1),(57,1),(59,1),(60,1),(61,1)}
        43:{2,3,5,6,7}:{(27,1),(28,1),(58,1),(60,1),(61,1),(62,1),(170,1)}
        44:{2,4,5,6,7}:{(28,1),(29,1),(61,1),(62,1),(185,1)}
        45:{1,2,4,5,6}:{(32,1),(63,1),(64,1),(66,1),(109,1),(119,1),(178,1),(183,1)}
        46:{1,2,4,6}:{(31,1),(35,1),(65,1),(66,1),(67,1),(109,1)}
        47:{1,2,3,5,7}:{(31,1),(36,1),(67,1),(68,1),(110,1),(117,1),(120,1)}
        48:{2,3,5,6}:{(32,1),(63,1),(69,1),(70,1),(74,1),(125,1)}
        49:{2,4,5,7}:{(32,1),(33,1),(70,1),(71,1)}
        50:{1,3,4,6,7}:{(33,1),(34,1),(71,1),(72,1),(79,1),(115,1),(158,1),(163,1)}
        51:{2,3,5,6,7}:{(34,1),(72,1),(73,1),(82,1)}
        52:{2,3,4,6}:{(35,1),(65,1),(74,1),(75,1),(125,1)}
        53:{2,4,5}:{(35,1),(37,1),(74,1)}
        54:{2,4,7}:{(35,1),(36,1),(38,1)}
        55:{2,3,6,7}:{(36,1),(39,1),(77,1),(125,1)}
        56:{1,3,4,5,7}:{(37,1),(38,1),(41,1),(76,1),(79,1),(80,1),(117,1),(160,1),(165,1)}
        57:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(77,1),(79,1),(80,1),(81,1),(129,1)}
        58:{1,3,5,6,7}:{(39,1),(40,1),(43,1),(78,1),(80,1),(81,1),(159,1)}
        59:{2,3,4,6}:{(41,1),(79,1),(82,1),(154,1),(181,1)}
        60:{2,3,5,7}:{(42,1),(80,1),(82,1),(83,1)}
        61:{2,4,6,7}:{(43,1),(81,1),(83,1),(84,1),(181,1)}
        62:{3,5,6,7}:{(44,1),(84,1),(188,1)}
        63:{1,3,5,6}:{(45,1),(48,1),(85,1),(87,1),(88,1),(90,1),(140,1)}
        64:{1,2,4,5,7}:{(45,1),(49,1),(88,1),(89,1),(133,1),(168,1),(173,1)}
        65:{1,3,4,6}:{(46,1),(52,1),(86,1),(90,1),(91,1),(140,1)}
        66:{1,2,4,5}:{(46,1),(53,1),(90,1),(132,1)}
        67:{1,2,4,7}:{(46,1),(47,1),(54,1),(91,1),(133,1)}
        68:{1,2,3,6,7}:{(47,1),(55,1),(93,1),(134,1),(140,1)}
        69:{2,3,4,6}:{(48,1),(87,1),(94,1),(95,1)}
        70:{2,3,5,7}:{(48,1),(49,1),(88,1),(95,1),(96,1)}
        71:{2,4,6,7}:{(49,1),(50,1),(96,1),(97,1),(102,1)}
        72:{1,3,5,6,7}:{(50,1),(51,1),(97,1),(98,1),(105,1),(146,1)}
        73:{2,4,5,6,7}:{(51,1),(98,1),(99,1),(107,1),(169,1)}
        74:{2,3,5}:{(52,1),(53,1),(90,1)}
        75:{2,3,4,7}:{(52,1),(54,1),(91,1),(100,1)}
        76:{2,4,5,7}:{(53,1),(54,1),(56,1),(100,1),(102,1),(103,1)}
        77:{2,4,6,7}:{(54,1),(55,1),(57,1),(102,1),(103,1)}
        78:{2,3,5,6,7}:{(55,1),(58,1),(103,1),(104,1),(147,1),(150,1)}
        79:{1,3,4,6}:{(56,1),(59,1),(102,1),(105,1),(140,1),(174,1),(177,1)}
        80:{1,3,5,7}:{(57,1),(60,1),(103,1),(105,1),(106,1),(150,1)}
        81:{1,4,6,7}:{(58,1),(61,1),(104,1),(106,1),(174,1)}
        82:{2,3,5,6}:{(59,1),(60,1),(105,1),(107,1)}
        83:{2,4,5,7}:{(60,1),(61,1),(106,1),(107,1),(108,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(108,1),(187,1)}
        85:{2,3,5,6}:{(63,1),(109,1),(110,1),(111,1),(154,1),(178,1)}
        86:{2,3,4,6}:{(65,1),(109,1),(111,1),(112,1),(154,1)}
        87:{1,3,4,6}:{(63,1),(69,1),(109,1),(113,1),(114,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(70,1),(110,1),(114,1),(115,1)}
        89:{1,2,4,6,7}:{(64,1),(71,1),(115,1),(116,1),(119,1),(152,1),(158,1)}
        90:{1,3,5}:{(65,1),(66,1),(74,1),(111,1)}
        91:{1,3,4,7}:{(65,1),(67,1),(75,1),(112,1),(117,1)}
        92:{1,2,4,5,7}:{(66,1),(67,1),(76,1),(117,1),(119,1),(120,1),(151,1),(160,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(77,1),(118,1),(119,1),(120,1),(152,1)}
        94:{2,3,4,5}:{(69,1),(74,1),(113,1)}
        95:{2,3,4,7}:{(69,1),(70,1),(114,1)}
        96:{2,3,6,7}:{(70,1),(71,1),(115,1),(125,1)}
        97:{2,5,6,7}:{(71,1),(72,1),(127,1)}
        98:{1,4,5,6,7}:{(72,1),(73,1),(124,1),(130,1),(158,1)}
        99:{3,4,5,6,7}:{(73,1),(131,1),(180,1)}
       100:{2,3,5,7}:{(74,1),(75,1),(76,1),(117,1),(125,1)}
       101:{2,3,4,6,7}:{(75,1),(77,1),(118,1),(125,1),(126,1),(129,1),(164,1)}
       102:{2,4,6}:{(76,1),(79,1),(125,1),(127,1)}
       103:{2,5,7}:{(77,1),(80,1),(127,1)}
       104:{2,4,6,7}:{(78,1),(81,1),(128,1),(129,1),(164,1)}
       105:{1,3,5,6}:{(79,1),(80,1),(82,1),(127,1),(130,1),(166,1)}
       106:{1,4,5,7}:{(80,1),(81,1),(83,1),(128,1),(130,1)}
       107:{2,4,5,6}:{(82,1),(83,1),(130,1),(131,1),(181,1)}
       108:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       109:{2,4,6}:{(85,1),(87,1),(132,1),(133,1)}
       110:{2,3,5,7}:{(85,1),(88,1),(133,1),(134,1),(168,1)}
       111:{2,3,5}:{(86,1),(90,1),(132,1)}
       112:{2,3,4,7}:{(86,1),(91,1),(133,1),(135,1)}
       113:{1,3,4,5}:{(87,1),(90,1),(94,1),(132,1)}
       114:{1,3,4,7}:{(87,1),(88,1),(95,1),(133,1)}
       115:{1,3,6,7}:{(88,1),(89,1),(96,1),(134,1),(140,1)}
       116:{1,2,5,6,7}:{(89,1),(97,1),(139,1),(142,1),(168,1)}
       117:{1,3,5,7}:{(90,1),(91,1),(92,1),(100,1),(135,1),(140,1)}
       118:{1,3,4,6,7}:{(91,1),(93,1),(101,1),(136,1),(140,1),(141,1),(174,1)}
       119:{1,2,4,6}:{(92,1),(102,1),(140,1),(142,1),(167,1),(174,1)}
       120:{1,2,5,7}:{(93,1),(103,1),(141,1),(142,1),(168,1)}
       121:{2,3,4,5,7}:{(94,1),(95,1),(100,1),(137,1),(143,1),(144,1),(148,1)}
       122:{2,3,4,6,7}:{(95,1),(96,1),(138,1),(143,1),(144,1),(145,1)}
       123:{2,3,5,6,7}:{(96,1),(97,1),(139,1),(144,1),(145,1),(146,1),(147,1)}
       124:{2,4,5,6,7}:{(97,1),(98,1),(145,1),(146,1),(149,1)}
       125:{2,3,6}:{(100,1),(102,1),(140,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(141,1),(147,1),(148,1),(150,1)}
       127:{2,5,6}:{(102,1),(103,1),(105,1)}
       128:{2,4,5,7}:{(103,1),(104,1),(106,1),(149,1),(150,1)}
       129:{3,4,6,7}:{(104,1),(150,1),(177,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(107,1),(149,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,4,5}:{(109,1),(111,1),(113,1)}
       133:{2,4,7}:{(109,1),(110,1),(114,1)}
       134:{2,3,6,7}:{(110,1),(115,1),(152,1),(154,1)}
       135:{2,3,5,7}:{(111,1),(112,1),(117,1),(151,1),(154,1)}
       136:{2,3,4,6,7}:{(112,1),(118,1),(152,1),(154,1),(155,1),(180,1),(181,1)}
       137:{1,3,4,5,7}:{(113,1),(114,1),(117,1),(121,1),(151,1),(156,1),(157,1),(160,1),(182,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(152,1),(156,1),(157,1),(158,1),(180,1)}
       139:{1,3,5,6,7}:{(115,1),(116,1),(123,1),(153,1),(157,1),(158,1),(159,1)}
       140:{1,3,6}:{(117,1),(119,1),(125,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(126,1),(155,1),(159,1),(160,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(127,1),(159,1),(178,1)}
       143:{2,3,4,6}:{(121,1),(125,1),(156,1),(161,1),(164,1)}
       144:{2,3,5,7}:{(122,1),(157,1),(161,1),(162,1)}
       145:{2,4,6,7}:{(123,1),(158,1),(162,1),(163,1),(164,1)}
       146:{3,5,6,7}:{(124,1),(163,1),(166,1)}
       147:{2,3,5,6}:{(125,1),(126,1),(127,1),(159,1),(164,1),(166,1)}
       148:{2,4,5,7}:{(126,1),(160,1),(164,1),(165,1)}
       149:{2,4,5,6}:{(127,1),(128,1),(130,1),(164,1),(166,1)}
       150:{3,5,7}:{(128,1),(129,1),(166,1)}
       151:{2,4,5,7}:{(132,1),(133,1),(135,1),(137,1),(167,1),(168,1)}
       152:{2,4,6,7}:{(133,1),(134,1),(138,1),(167,1),(168,1)}
       153:{2,3,5,6,7}:{(134,1),(139,1),(168,1),(169,1),(170,1),(186,1)}
       154:{2,3,6}:{(135,1),(140,1),(167,1)}
       155:{2,3,5,7}:{(136,1),(141,1),(168,1),(170,1),(171,1),(186,1)}
       156:{1,3,4,6}:{(137,1),(140,1),(143,1),(167,1),(172,1),(174,1),(187,1)}
       157:{1,3,5,7}:{(138,1),(144,1),(168,1),(172,1),(173,1),(186,1)}
       158:{1,4,6,7}:{(139,1),(145,1),(169,1),(173,1),(174,1)}
       159:{1,3,5,6}:{(140,1),(141,1),(142,1),(147,1),(170,1),(174,1)}
       160:{1,4,5,7}:{(141,1),(148,1),(171,1),(174,1)}
       161:{2,3,5,6}:{(143,1),(144,1),(172,1),(175,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(173,1),(175,1),(176,1)}
       163:{3,4,6,7}:{(145,1),(146,1),(176,1),(177,1)}
       164:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       165:{3,4,5,7}:{(148,1),(150,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6}:{(151,1),(154,1),(156,1),(178,1)}
       168:{2,5,7}:{(152,1),(157,1),(178,1)}
       169:{2,4,6,7}:{(153,1),(158,1),(179,1),(180,1),(181,1)}
       170:{2,3,5,6}:{(154,1),(155,1),(159,1),(178,1),(181,1),(188,1)}
       171:{2,4,5,7}:{(155,1),(160,1),(181,1),(182,1)}
       172:{1,3,5,6}:{(156,1),(157,1),(161,1),(178,1),(183,1),(188,1)}
       173:{1,4,5,7}:{(157,1),(158,1),(162,1),(179,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(164,1),(181,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(164,1),(183,1),(184,1)}
       176:{3,4,5,7}:{(162,1),(163,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{2,5,6}:{(167,1),(168,1),(172,1)}
       179:{2,4,5,7}:{(168,1),(169,1),(173,1),(185,1),(186,1)}
       180:{3,4,6,7}:{(169,1),(186,1),(187,1)}
       181:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       182:{3,4,5,7}:{(171,1),(186,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(175,1),(185,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{2,4,5,6}:{(178,1),(179,1),(181,1),(183,1),(188,1)}
       186:{3,5,7}:{(179,1),(180,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2510 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2511 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(53,1),(55,1),(135,1),(136,1),(231,1),(243,1),(247,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(38,1),(39,1),(87,1),(93,1),(194,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(39,1),(48,1),(88,1),(107,1),(116,1),(187,1),(210,1),(217,1),(296,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(92,1),(189,1),(282,1),(299,1)}
         4:{1,2,3,6}:{(1,1),(17,1),(70,1),(246,1)}
         5:{1,2,4,7}:{(1,1),(17,1),(18,1),(131,1)}
         6:{2,4,5,6,7}:{(14,1),(20,1),(60,1),(72,1),(232,1),(329,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(241,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(340,1)}
         9:{2,3,4,7}:{(18,1),(23,1),(26,1),(132,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(133,1),(168,1),(240,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(70,1),(157,1),(165,1),(338,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(72,1),(135,1),(139,1),(142,1),(243,1),(328,1),(341,1)}
        13:{1,2,3,6,7}:{(4,1),(31,1),(32,1),(93,1),(111,1),(170,1),(198,1),(298,1),(300,1),(360,1)}
        14:{1,4,5,6,7}:{(6,1),(29,1),(33,1),(99,1),(112,1),(179,1),(303,1)}
        15:{1,2,3,5,6}:{(4,1),(31,1),(34,1),(38,1),(87,1),(98,1),(104,1),(108,1),(170,1),(198,1),(203,1),(205,1),(269,1),(288,1),(351,1)}
        16:{1,3,4,5,6}:{(7,1),(35,1),(36,1),(44,1),(82,1),(102,1),(117,1),(172,1),(207,1),(274,1),(301,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(37,1),(38,1)}
        18:{1,3,4,7}:{(5,1),(9,1),(30,1),(37,1),(39,1),(183,1),(210,1)}
        19:{1,2,4,5,7}:{(5,1),(10,1),(38,1),(39,1),(40,1),(91,1),(107,1),(109,1),(184,1),(194,1),(210,1),(289,1),(296,1)}
        20:{3,5,6,7}:{(6,1),(41,1),(283,1),(363,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(189,1)}
        22:{3,4,5,7}:{(7,1),(41,1),(45,1),(293,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(37,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(371,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(373,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(39,1),(46,1),(50,1),(185,1),(291,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(111,1),(112,1),(187,1),(196,1),(210,1),(213,1),(217,1),(372,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(60,1),(128,1),(162,1),(265,1)}
        30:{2,3,4,7}:{(18,1),(54,1),(55,1),(235,1),(243,1)}
        31:{1,2,3,5,7}:{(13,1),(15,1),(56,1),(59,1),(143,1),(158,1),(256,1),(258,1),(333,1),(380,1)}
        32:{1,2,4,6,7}:{(13,1),(17,1),(56,1),(58,1),(59,1),(140,1),(144,1),(220,1),(246,1),(341,1)}
        33:{1,3,5,6,7}:{(14,1),(20,1),(52,1),(57,1),(60,1),(342,1)}
        34:{1,2,4,6}:{(15,1),(56,1),(63,1),(64,1),(131,1),(157,1),(257,1),(379,1)}
        35:{2,4,5,6}:{(16,1),(62,1),(65,1),(66,1),(152,1),(257,1),(340,1)}
        36:{1,3,4,5,7}:{(16,1),(22,1),(57,1),(66,1),(76,1),(124,1),(153,1),(166,1),(225,1),(260,1),(320,1),(342,1)}
        37:{1,3,4,6}:{(17,1),(18,1),(23,1),(54,1),(67,1),(70,1),(157,1)}
        38:{1,2,5}:{(17,1),(67,1)}
        39:{1,3,5,7}:{(18,1),(19,1),(26,1),(55,1),(67,1),(70,1),(236,1),(333,1)}
        40:{1,2,4,6}:{(19,1),(27,1),(68,1),(70,1),(138,1),(157,1),(246,1),(338,1)}
        41:{3,4,6,7}:{(20,1),(22,1),(72,1)}
        42:{2,3,4,6,7}:{(23,1),(58,1),(73,1),(81,1),(141,1),(163,1),(168,1),(248,1),(264,1),(313,1),(341,1),(385,1),(413,1)}
        43:{2,3,5,6,7}:{(20,1),(25,1),(60,1),(72,1),(74,1),(142,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(157,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(72,1),(76,1),(243,1)}
        46:{2,3,5}:{(23,1),(67,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(394,1)}
        49:{2,3,4,5,7}:{(26,1),(69,1),(77,1),(80,1),(161,1),(168,1),(169,1),(238,1),(247,1),(335,1)}
        50:{2,3,6}:{(26,1),(27,1),(70,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(240,1),(249,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(213,1),(310,1)}
        53:{2,3,4,5}:{(88,1),(89,1),(116,1),(204,1),(273,1),(286,1)}
        54:{2,3,4,6}:{(30,1),(37,1),(90,1),(92,1),(189,1)}
        55:{2,3,5,7}:{(30,1),(39,1),(90,1),(91,1),(92,1),(286,1),(366,1)}
        56:{1,2,4,7}:{(31,1),(34,1),(94,1),(210,1),(307,1),(401,1)}
        57:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(84,1),(96,1),(112,1),(179,1),(196,1),(213,1),(283,1)}
        58:{1,3,4,6,7}:{(32,1),(37,1),(42,1),(85,1),(94,1),(97,1),(111,1),(193,1),(198,1),(200,1),(210,1),(268,1),(297,1),(360,1),(372,1),(401,1)}
        59:{1,2,5,7}:{(32,1),(38,1),(97,1),(98,1),(269,1),(373,1)}
        60:{2,5,6,7}:{(33,1),(96,1),(99,1),(373,1)}
        61:{1,2,3,6}:{(87,1),(93,1),(100,1),(288,1)}
        62:{2,3,5,6}:{(35,1),(89,1),(102,1),(103,1),(117,1),(274,1)}
        63:{1,3,4,6}:{(34,1),(94,1),(101,1),(104,1),(183,1),(198,1),(288,1)}
        64:{1,2,4,5}:{(34,1),(38,1),(104,1),(107,1),(204,1),(269,1),(350,1)}
        65:{1,4,5,6}:{(35,1),(102,1),(106,1),(304,1),(371,1)}
        66:{2,4,5,7}:{(35,1),(36,1),(96,1),(103,1),(106,1),(206,1),(307,1),(373,1)}
        67:{1,3,5}:{(37,1),(38,1),(46,1),(90,1),(107,1)}
        68:{1,2,5,6}:{(38,1),(40,1),(47,1),(108,1),(109,1),(191,1),(371,1)}
        69:{1,3,4,5,7}:{(39,1),(49,1),(91,1),(107,1),(110,1),(188,1),(210,1),(211,1),(287,1),(293,1),(296,1),(368,1)}
        70:{1,3,6}:{(39,1),(40,1),(50,1),(92,1)}
        71:{1,2,4,6,7}:{(40,1),(51,1),(109,1),(111,1),(192,1),(210,1),(289,1),(298,1),(372,1)}
        72:{2,4,6,7}:{(41,1),(43,1),(45,1),(112,1)}
        73:{2,3,5,7}:{(42,1),(46,1),(97,1),(113,1),(114,1),(310,1),(349,1),(373,1)}
        74:{1,3,5,6,7}:{(43,1),(48,1),(99,1),(112,1),(115,1),(196,1),(213,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(112,1),(118,1),(210,1)}
        77:{2,4,5}:{(46,1),(107,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(108,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(110,1),(119,1),(121,1),(212,1),(299,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(111,1),(120,1),(213,1),(291,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(263,1),(411,1)}
        83:{2,3,4,5,7}:{(53,1),(126,1),(127,1),(135,1),(161,1),(223,1),(247,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(54,1),(58,1),(129,1),(139,1),(141,1),(221,1),(233,1),(243,1),(248,1),(326,1),(328,1),(341,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(60,1),(128,1),(130,1),(142,1),(223,1)}
        87:{1,2,3,5}:{(61,1),(131,1),(150,1),(236,1)}
        88:{1,3,4,5}:{(53,1),(133,1),(134,1),(236,1),(254,1)}
        89:{2,3,4,6}:{(53,1),(62,1),(134,1),(135,1),(165,1),(257,1),(319,1),(331,1)}
        90:{2,3,5}:{(54,1),(67,1),(136,1)}
        91:{2,4,5,7}:{(55,1),(69,1),(136,1),(138,1),(243,1),(244,1),(330,1),(391,1)}
        92:{2,3,6}:{(55,1),(70,1),(138,1)}
        93:{1,2,3,7}:{(61,1),(140,1),(333,1)}
        94:{1,3,4,7}:{(56,1),(63,1),(141,1),(143,1),(333,1)}
        95:{1,2,4,5,7}:{(56,1),(59,1),(64,1),(143,1),(144,1),(146,1),(247,1)}
        96:{2,4,6,7}:{(57,1),(60,1),(66,1),(142,1),(145,1),(249,1)}
        97:{1,3,5,7}:{(58,1),(59,1),(67,1),(73,1),(129,1),(146,1),(147,1),(314,1),(394,1)}
        98:{1,2,5,6}:{(59,1),(144,1),(147,1),(246,1),(340,1)}
        99:{1,5,6,7}:{(60,1),(145,1),(394,1)}
       100:{1,2,4,6}:{(61,1),(131,1),(140,1),(149,1),(150,1),(246,1)}
       101:{2,3,4,6}:{(63,1),(132,1),(141,1),(149,1),(151,1),(235,1),(239,1),(248,1),(257,1),(331,1)}
       102:{1,3,5,6}:{(62,1),(65,1),(134,1),(152,1),(153,1)}
       103:{2,3,5,7}:{(62,1),(66,1),(135,1),(142,1),(153,1),(166,1),(320,1)}
       104:{1,3,5}:{(63,1),(64,1),(151,1)}
       105:{1,2,4,5,6}:{(64,1),(65,1),(68,1),(75,1),(144,1),(152,1),(155,1),(156,1),(157,1),(224,1),(237,1),(242,1),(252,1),(257,1),(315,1),(340,1),(344,1),(379,1),(390,1),(412,1)}
       106:{1,4,5,7}:{(65,1),(66,1),(145,1),(153,1),(345,1),(394,1)}
       107:{1,4,5}:{(67,1),(77,1),(136,1),(157,1)}
       108:{1,3,5,6}:{(67,1),(68,1),(70,1),(78,1),(137,1),(157,1),(158,1)}
       109:{1,2,5,7}:{(68,1),(71,1),(79,1),(158,1),(244,1),(394,1)}
       110:{1,3,4,6}:{(69,1),(70,1),(80,1),(138,1),(157,1),(159,1),(241,1),(338,1)}
       111:{1,3,6,7}:{(70,1),(71,1),(81,1),(139,1),(158,1),(333,1)}
       112:{1,4,6,7}:{(72,1),(74,1),(76,1),(162,1)}
       113:{2,4,5,7}:{(73,1),(77,1),(146,1),(161,1),(163,1),(168,1),(377,1),(413,1)}
       114:{2,3,5,6}:{(73,1),(147,1),(163,1),(248,1),(263,1),(340,1)}
       115:{2,5,6,7}:{(74,1),(79,1),(162,1),(249,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(162,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(157,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(158,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(159,1),(167,1),(169,1),(263,1),(340,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(160,1),(168,1),(169,1),(264,1),(267,1),(335,1),(341,1),(393,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(310,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(93,1),(170,1),(174,1),(194,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(88,1),(176,1),(177,1),(187,1),(272,1),(273,1),(277,1),(296,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(212,1),(299,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(90,1),(97,1),(180,1),(181,1),(270,1),(363,1),(373,1)}
       130:{1,3,5,6,7}:{(86,1),(99,1),(179,1),(182,1),(196,1),(272,1),(283,1)}
       131:{1,2,4}:{(87,1),(183,1)}
       132:{2,3,4}:{(183,1),(185,1)}
       133:{2,4,5}:{(88,1),(185,1),(186,1)}
       134:{1,3,4,6}:{(88,1),(89,1),(102,1),(186,1),(187,1),(288,1),(304,1)}
       135:{2,3,4,7}:{(89,1),(103,1),(187,1),(217,1),(307,1),(356,1),(366,1)}
       136:{2,4,5}:{(90,1),(107,1),(188,1),(189,1)}
       137:{2,3,5,6}:{(90,1),(92,1),(108,1),(189,1),(190,1),(191,1),(292,1)}
       138:{2,4,6}:{(91,1),(92,1),(110,1),(191,1)}
       139:{2,3,6,7}:{(92,1),(111,1),(190,1),(192,1),(366,1),(370,1)}
       140:{1,2,4,7}:{(93,1),(100,1),(193,1),(194,1)}
       141:{2,3,4,7}:{(94,1),(101,1),(193,1),(195,1),(291,1),(307,1),(366,1)}
       142:{2,3,6,7}:{(96,1),(103,1),(196,1),(213,1),(283,1)}
       143:{1,3,5,7}:{(94,1),(95,1),(104,1),(195,1),(198,1)}
       144:{1,2,4,6}:{(95,1),(98,1),(198,1),(200,1),(299,1)}
       145:{1,4,6,7}:{(96,1),(99,1),(106,1),(196,1)}
       146:{1,4,5,7}:{(97,1),(107,1),(113,1),(180,1),(200,1),(210,1),(350,1),(401,1)}
       147:{1,3,5,6}:{(97,1),(98,1),(114,1),(181,1),(198,1),(200,1),(297,1),(371,1)}
       148:{1,2,5,6,7}:{(98,1),(99,1),(109,1),(115,1),(182,1),(199,1),(201,1),(295,1),(298,1),(352,1),(373,1),(410,1),(423,1)}
       149:{1,3,4,6}:{(100,1),(101,1),(183,1),(193,1),(202,1),(288,1),(297,1),(304,1)}
       150:{1,2,5}:{(100,1),(202,1)}
       151:{2,3,5}:{(101,1),(104,1),(202,1),(204,1)}
       152:{2,5,6}:{(102,1),(186,1),(206,1)}
       153:{1,3,5,7}:{(102,1),(103,1),(106,1),(187,1),(196,1),(206,1)}
       154:{1,3,4,5}:{(104,1),(107,1),(116,1),(188,1),(204,1),(207,1),(273,1),(350,1),(397,1)}
       155:{1,3,5,6}:{(104,1),(105,1),(117,1),(198,1),(205,1),(207,1),(208,1),(274,1),(288,1),(292,1),(419,1)}
       156:{1,2,4,5,7}:{(105,1),(106,1),(109,1),(118,1),(199,1),(206,1),(208,1),(210,1),(275,1),(289,1),(294,1),(303,1),(307,1),(352,1),(373,1),(375,1),(401,1),(408,1),(421,1)}
       157:{1,4,6}:{(107,1),(108,1),(119,1),(189,1),(210,1)}
       158:{1,3,5,7}:{(108,1),(109,1),(111,1),(120,1),(190,1),(210,1)}
       159:{1,3,5,6}:{(110,1),(121,1),(191,1),(209,1),(211,1),(292,1),(371,1)}
       160:{1,3,4,6,7}:{(110,1),(111,1),(122,1),(192,1),(210,1),(211,1),(293,1),(309,1),(368,1),(370,1),(372,1),(409,1)}
       161:{3,4,5,7}:{(113,1),(116,1),(212,1),(217,1),(310,1),(397,1),(420,1)}
       162:{2,4,6,7}:{(112,1),(115,1),(118,1),(213,1)}
       163:{2,4,6}:{(113,1),(114,1),(200,1),(212,1)}
       164:{2,3,5,6,7}:{(114,1),(115,1),(120,1),(201,1),(213,1),(215,1),(300,1),(310,1),(373,1),(399,1),(423,1),(426,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(213,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(209,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(210,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(211,1),(218,1),(310,1),(373,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(246,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(263,1),(340,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(131,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(132,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(133,1),(228,1),(229,1),(240,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(338,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(135,1),(142,1),(223,1),(230,1),(264,1),(341,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(136,1),(146,1),(231,1),(233,1),(243,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(147,1),(233,1),(248,1),(327,1),(340,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(249,1),(318,1)}
       183:{1,3,4}:{(131,1),(132,1),(235,1),(236,1)}
       184:{1,2,4,5}:{(131,1),(133,1),(150,1),(236,1),(237,1),(254,1),(330,1)}
       185:{2,3,5}:{(132,1),(133,1),(236,1),(239,1)}
       186:{2,4,6}:{(133,1),(134,1),(152,1),(239,1),(240,1)}
       187:{1,3,4,7}:{(134,1),(135,1),(153,1),(240,1),(333,1),(345,1)}
       188:{3,4,5}:{(136,1),(241,1)}
       189:{2,4,6}:{(136,1),(137,1),(157,1),(241,1),(243,1)}
       190:{2,3,5,7}:{(137,1),(139,1),(158,1),(243,1),(244,1),(336,1)}
       191:{2,5,6}:{(138,1),(159,1),(244,1)}
       192:{2,4,6,7}:{(138,1),(139,1),(160,1),(243,1),(244,1),(391,1),(418,1)}
       193:{1,3,4,7}:{(140,1),(141,1),(149,1),(245,1),(333,1),(345,1)}
       194:{1,2,5,7}:{(140,1),(150,1),(245,1),(246,1)}
       195:{2,3,5,7}:{(141,1),(143,1),(151,1),(245,1),(247,1),(248,1)}
       196:{1,3,6,7}:{(142,1),(145,1),(153,1),(249,1)}
       197:{1,3,4,5,7}:{(143,1),(146,1),(154,1),(161,1),(231,1),(247,1),(250,1),(260,1),(342,1)}
       198:{1,3,6}:{(143,1),(144,1),(248,1)}
       199:{1,2,4,6,7}:{(144,1),(145,1),(148,1),(156,1),(162,1),(232,1),(249,1),(251,1),(253,1),(337,1),(341,1),(396,1),(418,1),(425,1)}
       200:{1,4,6}:{(146,1),(147,1),(163,1),(233,1)}
       201:{1,3,5,6,7}:{(147,1),(148,1),(158,1),(164,1),(234,1),(251,1),(253,1),(339,1),(342,1),(380,1),(394,1)}
       202:{1,3,5}:{(149,1),(150,1),(151,1),(254,1)}
       203:{1,2,5,6}:{(150,1),(152,1),(237,1),(246,1),(255,1),(256,1),(390,1)}
       204:{2,4,5}:{(151,1),(154,1),(254,1),(257,1)}
       205:{2,3,5,6}:{(151,1),(152,1),(155,1),(239,1),(248,1),(255,1),(257,1),(258,1),(331,1),(340,1),(390,1)}
       206:{2,5,7}:{(152,1),(153,1),(240,1),(249,1)}
       207:{1,3,4,6}:{(154,1),(155,1),(157,1),(165,1),(241,1),(257,1),(260,1),(319,1),(379,1),(411,1)}
       208:{1,3,5,7}:{(155,1),(156,1),(166,1),(251,1),(258,1),(260,1),(320,1),(333,1),(336,1),(424,1)}
       209:{1,4,5,6}:{(157,1),(159,1),(167,1),(242,1),(261,1)}
       210:{1,4,7}:{(157,1),(158,1),(168,1),(243,1)}
       211:{1,3,5,7}:{(159,1),(160,1),(169,1),(244,1),(261,1),(336,1),(394,1)}
       212:{3,4,6}:{(161,1),(163,1),(263,1)}
       213:{3,6,7}:{(162,1),(166,1)}
       214:{2,4,5,6}:{(163,1),(252,1),(263,1),(265,1),(340,1)}
       215:{2,4,6,7}:{(163,1),(164,1),(168,1),(253,1),(264,1),(265,1),(413,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(263,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(261,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(262,1),(267,1),(348,1),(393,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(371,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(310,1),(373,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(183,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(194,1),(269,1),(277,1),(278,1),(289,1),(296,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(185,1),(270,1),(277,1),(280,1),(291,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(187,1),(196,1),(272,1),(281,1),(283,1),(356,1),(360,1),(372,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(188,1),(273,1),(282,1),(293,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(200,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(190,1),(201,1),(283,1),(285,1),(295,1),(300,1),(354,1),(363,1),(370,1),(373,1)}
       235:{2,3,4}:{(183,1),(286,1)}
       236:{1,3,5}:{(183,1),(184,1),(185,1),(286,1),(288,1)}
       237:{1,2,4,6}:{(184,1),(186,1),(203,1),(288,1),(289,1),(304,1),(365,1)}
       238:{2,3,4,5}:{(185,1),(188,1),(204,1),(287,1),(290,1),(397,1)}
       239:{2,3,6}:{(185,1),(186,1),(288,1),(291,1)}
       240:{2,4,7}:{(186,1),(187,1),(206,1),(291,1)}
       241:{3,4,6}:{(188,1),(189,1),(292,1),(293,1)}
       242:{2,4,5,6}:{(189,1),(191,1),(209,1),(292,1),(294,1)}
       243:{2,4,7}:{(189,1),(190,1),(210,1),(293,1)}
       244:{2,5,7}:{(191,1),(192,1),(211,1)}
       245:{1,3,5,7}:{(193,1),(194,1),(195,1),(202,1),(296,1),(297,1)}
       246:{1,2,6}:{(194,1),(297,1)}
       247:{2,4,5,7}:{(195,1),(197,1),(204,1),(296,1),(299,1),(307,1),(373,1)}
       248:{2,3,6}:{(195,1),(198,1),(297,1),(299,1)}
       249:{2,6,7}:{(196,1),(206,1)}
       250:{1,3,4,6}:{(197,1),(198,1),(200,1),(212,1),(282,1),(299,1),(301,1)}
       251:{1,3,6,7}:{(198,1),(199,1),(208,1),(213,1),(283,1),(300,1),(370,1),(426,1)}
       252:{1,4,5,6}:{(200,1),(214,1),(284,1),(301,1),(303,1),(371,1)}
       253:{1,4,6,7}:{(200,1),(201,1),(210,1),(215,1),(285,1),(303,1),(401,1)}
       254:{1,4,5}:{(202,1),(204,1),(304,1)}
       255:{1,3,5,6}:{(202,1),(203,1),(205,1),(288,1),(297,1),(304,1),(305,1),(371,1)}
       256:{1,2,5,7}:{(203,1),(206,1),(289,1),(298,1),(305,1),(408,1)}
       257:{2,4,6}:{(204,1),(205,1),(207,1),(304,1),(307,1)}
       258:{2,3,5,7}:{(205,1),(206,1),(208,1),(291,1),(300,1),(305,1),(307,1),(366,1),(373,1),(408,1)}
       259:{1,3,4,5,6}:{(207,1),(209,1),(216,1),(292,1),(301,1),(306,1),(308,1),(355,1),(367,1),(400,1),(419,1)}
       260:{1,3,4,7}:{(207,1),(208,1),(210,1),(217,1),(293,1),(307,1),(356,1),(401,1),(420,1)}
       261:{1,4,5,7}:{(209,1),(210,1),(211,1),(218,1),(294,1),(309,1)}
       262:{1,3,5,6,7}:{(211,1),(219,1),(295,1),(309,1),(370,1),(409,1),(410,1)}
       263:{3,5,6}:{(212,1),(214,1),(310,1)}
       264:{3,4,6,7}:{(212,1),(213,1),(215,1),(217,1),(310,1),(420,1),(426,1)}
       265:{2,4,5,7}:{(214,1),(215,1),(303,1),(310,1),(373,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(310,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(309,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(394,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(235,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(236,1),(314,1),(321,1),(323,1),(333,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(246,1),(315,1),(323,1),(338,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(238,1),(247,1),(316,1),(322,1),(325,1),(335,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(240,1),(249,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(252,1),(327,1),(329,1),(340,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(253,1),(328,1),(329,1),(382,1)}
       286:{2,3,5}:{(235,1),(236,1),(330,1),(331,1)}
       287:{1,3,4,5}:{(236,1),(238,1),(254,1),(330,1),(332,1)}
       288:{1,3,6}:{(236,1),(237,1),(239,1),(331,1),(333,1)}
       289:{1,2,4,7}:{(237,1),(240,1),(256,1),(333,1),(345,1),(391,1)}
       290:{2,3,4,6}:{(238,1),(239,1),(241,1),(257,1),(332,1),(334,1),(335,1),(411,1)}
       291:{2,3,7}:{(239,1),(240,1),(333,1)}
       292:{3,5,6}:{(241,1),(242,1),(336,1)}
       293:{3,4,7}:{(241,1),(243,1),(336,1)}
       294:{2,4,5,7}:{(242,1),(243,1),(244,1),(261,1),(336,1),(337,1)}
       295:{2,5,6,7}:{(244,1),(262,1),(337,1),(418,1)}
       296:{1,4,5,7}:{(245,1),(247,1),(254,1),(338,1),(345,1),(394,1)}
       297:{1,3,6}:{(245,1),(246,1),(248,1),(338,1)}
       298:{1,2,6,7}:{(246,1),(249,1),(256,1),(339,1),(418,1)}
       299:{2,4,6}:{(247,1),(248,1),(250,1),(338,1),(340,1)}
       300:{2,3,6,7}:{(248,1),(249,1),(251,1),(258,1),(339,1),(341,1),(418,1)}
       301:{1,3,5,6}:{(250,1),(252,1),(263,1),(327,1),(340,1),(342,1)}
       302:{1,3,4,6,7}:{(250,1),(251,1),(253,1),(260,1),(264,1),(328,1),(341,1),(342,1)}
       303:{1,4,5,7}:{(252,1),(253,1),(265,1),(329,1),(342,1),(394,1)}
       304:{1,4,6}:{(254,1),(255,1),(257,1),(345,1)}
       305:{1,3,5,7}:{(255,1),(256,1),(258,1),(333,1),(339,1),(345,1),(394,1)}
       306:{2,4,5,6}:{(257,1),(259,1),(334,1),(340,1),(344,1),(346,1),(390,1)}
       307:{2,4,7}:{(257,1),(258,1),(260,1),(345,1)}
       308:{1,3,4,5,7}:{(259,1),(260,1),(261,1),(266,1),(336,1),(342,1),(346,1),(347,1),(383,1),(392,1),(414,1),(424,1)}
       309:{1,4,6,7}:{(261,1),(262,1),(267,1),(337,1)}
       310:{3,5,7}:{(263,1),(264,1),(265,1)}
       311:{2,4,5,6,7}:{(265,1),(267,1),(343,1),(348,1),(395,1),(425,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(348,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(371,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(286,1),(349,1),(357,1),(358,1),(366,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(287,1),(296,1),(350,1),(357,1),(359,1),(368,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(289,1),(298,1),(352,1),(360,1),(372,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(299,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(291,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(293,1),(356,1),(363,1),(370,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(303,1),(363,1),(373,1)}
       330:{2,4,5}:{(286,1),(287,1),(365,1)}
       331:{2,3,6}:{(286,1),(288,1),(365,1),(366,1)}
       332:{1,3,4,6}:{(287,1),(288,1),(290,1),(304,1),(365,1),(367,1),(368,1)}
       333:{1,3,7}:{(288,1),(289,1),(291,1),(366,1)}
       334:{2,3,5,6}:{(290,1),(292,1),(306,1),(367,1),(369,1),(419,1)}
       335:{2,3,4,7}:{(290,1),(291,1),(293,1),(307,1),(368,1),(369,1),(420,1)}
       336:{3,5,7}:{(292,1),(293,1),(294,1),(370,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(309,1),(370,1)}
       338:{1,4,6}:{(296,1),(297,1),(299,1),(371,1)}
       339:{1,3,6,7}:{(297,1),(298,1),(300,1),(305,1),(372,1)}
       340:{2,5,6}:{(299,1),(301,1),(371,1),(373,1)}
       341:{2,4,6,7}:{(299,1),(300,1),(302,1),(307,1),(372,1),(373,1)}
       342:{1,3,5,7}:{(301,1),(302,1),(303,1),(310,1),(363,1),(373,1)}
       343:{1,4,5,6,7}:{(303,1),(309,1),(311,1),(364,1),(374,1),(410,1),(422,1)}
       344:{1,4,5,6}:{(304,1),(306,1),(367,1),(371,1),(375,1)}
       345:{1,4,7}:{(304,1),(305,1),(307,1)}
       346:{2,4,5,7}:{(306,1),(307,1),(308,1),(369,1),(373,1),(375,1),(376,1),(408,1)}
       347:{1,3,4,6,7}:{(308,1),(309,1),(312,1),(370,1),(374,1),(376,1),(403,1),(409,1),(422,1),(426,1)}
       348:{3,5,6,7}:{(310,1),(311,1),(312,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(394,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(330,1),(377,1),(384,1),(391,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(338,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(333,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(340,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(335,1),(341,1),(382,1),(387,1),(388,1),(393,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(337,1),(343,1),(389,1),(395,1),(415,1)}
       365:{2,4,6}:{(330,1),(331,1),(332,1),(390,1),(391,1)}
       366:{2,3,7}:{(331,1),(333,1),(391,1)}
       367:{1,3,5,6}:{(332,1),(334,1),(344,1),(390,1),(392,1)}
       368:{1,3,4,7}:{(332,1),(333,1),(335,1),(345,1),(391,1),(392,1)}
       369:{2,3,5,7}:{(334,1),(335,1),(336,1),(346,1),(392,1),(393,1),(424,1)}
       370:{3,6,7}:{(336,1),(337,1)}
       371:{1,5,6}:{(338,1),(340,1),(394,1)}
       372:{1,4,6,7}:{(338,1),(339,1),(341,1),(345,1),(394,1)}
       373:{2,5,7}:{(340,1),(341,1),(342,1),(394,1)}
       374:{1,3,5,6,7}:{(342,1),(343,1),(347,1),(348,1),(389,1),(395,1)}
       375:{1,4,5,7}:{(344,1),(345,1),(346,1),(392,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(346,1),(347,1),(393,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(366,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(371,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(368,1),(372,1),(401,1),(405,1),(406,1),(409,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(373,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(370,1),(403,1)}
       390:{2,5,6}:{(365,1),(367,1),(408,1)}
       391:{2,4,7}:{(365,1),(366,1),(368,1),(408,1)}
       392:{1,3,5,7}:{(367,1),(368,1),(369,1),(375,1),(408,1),(409,1)}
       393:{2,3,6,7}:{(369,1),(370,1),(376,1),(409,1),(426,1)}
       394:{1,5,7}:{(371,1),(372,1),(373,1)}
       395:{2,5,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(409,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(391,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(394,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(393,1),(395,1),(415,1),(417,1)}
       408:{2,5,7}:{(390,1),(391,1),(392,1),(418,1)}
       409:{1,3,6,7}:{(392,1),(393,1),(396,1),(418,1)}
       410:{1,5,6,7}:{(394,1),(395,1),(396,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(408,1),(409,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2512 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(162,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(96,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(11,1),(12,1),(119,1),(154,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(12,1),(153,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(13,1),(34,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(15,1),(16,1),(42,1),(46,1),(76,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(90,1),(119,1)}
         7:{1,2,3,6}:{(4,1),(18,1),(19,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(21,1),(22,1)}
         9:{4,5,6,7}:{(23,1),(172,1)}
        10:{3,4,6,7}:{(3,1),(23,1),(24,1)}
        11:{1,4,5,6}:{(2,1),(21,1),(25,1),(26,1),(101,1),(142,1)}
        12:{2,4,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1),(141,1),(165,1)}
        13:{1,2,4}:{(4,1),(27,1)}
        14:{2,3,4}:{(27,1),(29,1)}
        15:{2,4,5}:{(5,1),(29,1),(30,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(21,1),(30,1),(31,1),(64,1),(68,1),(101,1)}
        17:{2,3,4,7}:{(6,1),(22,1),(31,1),(112,1),(141,1)}
        18:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        19:{1,2,4,6}:{(7,1),(13,1),(32,1),(33,1),(34,1),(75,1)}
        20:{2,3,4,6}:{(14,1),(33,1),(35,1),(37,1),(49,1),(80,1),(82,1)}
        21:{1,3,5,6}:{(8,1),(11,1),(16,1),(38,1),(39,1),(43,1)}
        22:{2,3,5,7}:{(8,1),(12,1),(17,1),(36,1),(39,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(40,1),(169,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(36,1),(40,1),(41,1)}
        25:{2,4,5,6}:{(11,1),(38,1),(43,1),(44,1),(82,1),(125,1),(128,1)}
        26:{1,4,5,7}:{(11,1),(12,1),(39,1),(41,1),(44,1),(124,1),(157,1)}
        27:{1,3,4}:{(13,1),(14,1),(45,1),(46,1)}
        28:{1,2,4,5}:{(13,1),(15,1),(34,1),(46,1),(47,1),(76,1),(89,1)}
        29:{2,3,5}:{(14,1),(15,1),(46,1),(49,1)}
        30:{2,4,6}:{(15,1),(16,1),(38,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(16,1),(17,1),(39,1),(50,1),(88,1),(92,1),(124,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(27,1),(51,1),(52,1),(54,1),(68,1),(99,1),(101,1)}
        34:{1,2,5}:{(19,1),(54,1)}
        35:{2,3,4,7}:{(20,1),(52,1),(56,1),(71,1),(106,1)}
        36:{2,3,6,7}:{(22,1),(24,1),(57,1)}
        37:{2,3,5}:{(20,1),(54,1),(58,1)}
        38:{2,5,6}:{(21,1),(30,1),(60,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(26,1),(31,1),(57,1),(60,1),(65,1)}
        40:{2,5,6,7}:{(23,1),(24,1),(61,1),(165,1)}
        41:{1,4,6,7}:{(24,1),(26,1),(57,1),(61,1),(63,1)}
        42:{3,4,5}:{(58,1),(64,1)}
        43:{3,5,6}:{(25,1),(64,1),(65,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(60,1),(63,1),(65,1),(106,1),(145,1),(147,1)}
        45:{2,3,4}:{(27,1),(66,1)}
        46:{1,3,5}:{(27,1),(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(28,1),(30,1),(55,1),(68,1),(69,1),(101,1),(111,1)}
        48:{2,3,4,5}:{(29,1),(58,1),(67,1),(70,1)}
        49:{2,3,6}:{(29,1),(30,1),(68,1),(71,1)}
        50:{2,4,7}:{(30,1),(31,1),(60,1),(71,1)}
        51:{2,3,4,6}:{(33,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(92,1),(124,1)}
        53:{1,2,5,7}:{(32,1),(34,1),(74,1),(75,1)}
        54:{1,3,5}:{(33,1),(34,1),(37,1),(73,1),(76,1)}
        55:{1,2,5,6}:{(34,1),(38,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        56:{2,3,5,7}:{(35,1),(37,1),(74,1),(79,1),(80,1)}
        57:{1,3,6,7}:{(36,1),(39,1),(41,1),(81,1),(86,1)}
        58:{2,4,5}:{(37,1),(42,1),(76,1),(82,1)}
        59:{2,3,5,6}:{(37,1),(38,1),(43,1),(49,1),(77,1),(80,1),(82,1),(83,1),(125,1)}
        60:{2,5,7}:{(38,1),(39,1),(50,1),(81,1)}
        61:{1,5,6,7}:{(40,1),(41,1),(84,1),(157,1)}
        62:{3,4,5,7}:{(42,1),(79,1),(85,1),(88,1),(130,1)}
        63:{2,4,6,7}:{(41,1),(44,1),(81,1),(84,1),(86,1),(129,1)}
        64:{3,4,6}:{(42,1),(43,1),(82,1),(88,1)}
        65:{3,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(76,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(124,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(82,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(95,1),(112,1),(141,1)}
        73:{2,3,5}:{(51,1),(54,1),(96,1)}
        74:{1,3,5,7}:{(52,1),(53,1),(54,1),(56,1),(95,1),(98,1),(99,1)}
        75:{1,2,6}:{(53,1),(99,1)}
        76:{1,4,5}:{(54,1),(58,1),(96,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(59,1),(68,1),(97,1),(99,1),(101,1),(102,1),(142,1)}
        78:{1,2,5,7}:{(55,1),(60,1),(69,1),(100,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(58,1),(62,1),(98,1),(103,1),(106,1),(145,1)}
        80:{2,3,6}:{(56,1),(99,1),(103,1)}
        81:{2,6,7}:{(57,1),(60,1)}
        82:{2,4,6}:{(58,1),(59,1),(64,1),(101,1),(106,1)}
        83:{2,3,5,7}:{(59,1),(60,1),(65,1),(71,1),(102,1),(104,1),(106,1),(145,1)}
        84:{2,5,6,7}:{(61,1),(63,1),(107,1),(145,1)}
        85:{3,4,6}:{(62,1),(103,1),(108,1)}
        86:{3,6,7}:{(63,1),(65,1)}
        87:{3,4,5,6}:{(64,1),(105,1),(108,1),(110,1)}
        88:{3,4,7}:{(64,1),(65,1),(106,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(101,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(105,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(106,1),(114,1),(115,1)}
        95:{2,3,5,7}:{(72,1),(73,1),(74,1),(117,1),(118,1)}
        96:{2,4,5}:{(73,1),(76,1),(116,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(77,1),(90,1),(118,1),(119,1),(120,1),(132,1),(152,1),(154,1)}
        98:{1,4,5,7}:{(74,1),(76,1),(79,1),(117,1),(121,1),(124,1),(157,1)}
        99:{1,3,6}:{(74,1),(75,1),(80,1),(118,1),(121,1)}
       100:{1,2,6,7}:{(75,1),(78,1),(81,1),(122,1),(161,1)}
       101:{1,4,6}:{(76,1),(77,1),(82,1),(119,1),(124,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(83,1),(92,1),(120,1),(122,1),(124,1),(157,1)}
       103:{2,4,6}:{(79,1),(80,1),(85,1),(121,1),(125,1)}
       104:{2,3,6,7}:{(80,1),(81,1),(83,1),(86,1),(122,1),(126,1)}
       105:{2,4,5,6}:{(82,1),(87,1),(93,1),(123,1),(125,1),(127,1)}
       106:{2,4,7}:{(82,1),(83,1),(88,1),(124,1)}
       107:{3,5,6,7}:{(84,1),(86,1),(129,1),(130,1)}
       108:{3,5,6}:{(85,1),(125,1),(128,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(88,1),(126,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(87,1),(88,1),(127,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(123,1),(132,1),(134,1),(152,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(124,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(127,1),(134,1),(135,1)}
       116:{3,4,5}:{(96,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(138,1),(141,1),(165,1)}
       118:{2,3,6}:{(95,1),(99,1),(138,1)}
       119:{2,4,6}:{(96,1),(97,1),(101,1),(137,1),(141,1)}
       120:{2,3,5,7}:{(97,1),(102,1),(112,1),(139,1),(141,1),(149,1),(164,1),(165,1)}
       121:{1,4,6}:{(98,1),(99,1),(103,1),(138,1),(142,1)}
       122:{1,3,6,7}:{(99,1),(100,1),(102,1),(104,1),(139,1),(143,1)}
       123:{1,4,5,6}:{(101,1),(105,1),(113,1),(140,1),(142,1),(144,1)}
       124:{1,4,7}:{(101,1),(102,1),(106,1),(141,1)}
       125:{2,5,6}:{(103,1),(108,1),(142,1),(145,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(106,1),(109,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(105,1),(106,1),(110,1),(115,1),(144,1),(145,1),(146,1)}
       128:{4,5,6}:{(108,1),(147,1)}
       129:{4,6,7}:{(107,1),(147,1)}
       130:{3,5,7}:{(108,1),(109,1),(145,1),(147,1)}
       131:{3,4,6,7}:{(110,1),(146,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(144,1),(149,1),(150,1),(164,1)}
       135:{2,3,6,7}:{(115,1),(146,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(151,1),(153,1),(169,1)}
       137:{3,4,6}:{(116,1),(119,1),(152,1),(153,1)}
       138:{2,4,6}:{(117,1),(118,1),(121,1),(151,1),(154,1)}
       139:{2,3,6,7}:{(118,1),(120,1),(122,1),(155,1),(161,1),(170,1)}
       140:{2,4,5,6}:{(119,1),(123,1),(132,1),(152,1),(154,1),(156,1),(168,1)}
       141:{2,4,7}:{(119,1),(120,1),(124,1),(153,1)}
       142:{1,5,6}:{(121,1),(125,1),(154,1),(157,1)}
       143:{1,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(155,1),(157,1)}
       144:{1,4,5,7}:{(123,1),(124,1),(127,1),(134,1),(156,1),(157,1),(158,1)}
       145:{2,5,7}:{(125,1),(126,1),(130,1),(157,1)}
       146:{2,4,6,7}:{(127,1),(131,1),(135,1),(158,1),(159,1)}
       147:{4,5,7}:{(128,1),(129,1),(130,1)}
       148:{3,5,6,7}:{(130,1),(131,1),(159,1),(160,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(158,1),(161,1),(170,1)}
       151:{3,4,6}:{(136,1),(138,1),(162,1)}
       152:{3,5,6}:{(137,1),(140,1),(164,1)}
       153:{3,4,7}:{(137,1),(141,1),(164,1)}
       154:{2,5,6}:{(138,1),(142,1),(162,1),(165,1)}
       155:{2,4,6,7}:{(138,1),(139,1),(141,1),(143,1),(163,1),(165,1)}
       156:{2,4,5,7}:{(140,1),(141,1),(144,1),(149,1),(164,1),(165,1),(166,1),(172,1)}
       157:{1,5,7}:{(142,1),(143,1),(145,1),(165,1)}
       158:{1,4,6,7}:{(144,1),(146,1),(150,1),(166,1),(167,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,6}:{(151,1),(154,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(151,1),(153,1),(155,1),(169,1),(170,1),(174,1)}
       164:{3,5,7}:{(152,1),(153,1),(156,1),(170,1)}
       165:{2,5,7}:{(154,1),(155,1),(157,1),(169,1)}
       166:{2,4,6,7}:{(156,1),(158,1),(161,1),(170,1),(171,1),(174,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(165,1),(172,1)}
       170:{3,6,7}:{(164,1),(166,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2513 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(100,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(46,1),(102,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(11,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(87,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(10,1),(13,1),(14,1),(61,1),(87,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(34,1),(60,1),(89,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,3,5,6}:{(5,1),(6,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(20,1),(101,1),(116,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(73,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(23,1),(77,1),(101,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(19,1),(23,1),(24,1),(45,1),(48,1),(73,1)}
        15:{2,4,5}:{(7,1),(24,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(14,1),(29,1),(30,1),(32,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(27,1),(29,1),(31,1),(88,1),(108,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(58,1),(85,1),(109,1)}
        22:{1,2,4,5}:{(15,1),(33,1),(34,1),(62,1),(89,1),(93,1)}
        23:{1,3,4,7}:{(13,1),(14,1),(29,1),(35,1),(59,1),(63,1),(88,1)}
        24:{2,4,6}:{(14,1),(15,1),(30,1),(35,1),(36,1)}
        25:{2,3,5}:{(15,1),(34,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(20,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(23,1),(38,1),(42,1),(44,1)}
        30:{2,5,6}:{(19,1),(24,1),(42,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(39,1),(42,1),(44,1),(70,1),(74,1),(98,1)}
        32:{3,5,6}:{(21,1),(44,1),(45,1)}
        33:{1,2,4,6}:{(22,1),(24,1),(41,1),(47,1),(48,1),(73,1),(78,1)}
        34:{1,3,5}:{(22,1),(25,1),(46,1),(48,1),(49,1)}
        35:{2,4,7}:{(23,1),(24,1),(42,1),(50,1)}
        36:{2,3,6}:{(24,1),(25,1),(48,1),(50,1)}
        37:{2,3,4}:{(25,1),(49,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{1,2,5,6}:{(30,1),(33,1),(55,1),(56,1),(93,1),(114,1)}
        42:{2,5,7}:{(29,1),(30,1),(35,1),(52,1)}
        43:{2,3,5,6}:{(30,1),(32,1),(36,1),(56,1),(57,1),(58,1),(66,1),(95,1),(109,1)}
        44:{3,5,7}:{(31,1),(32,1),(53,1),(59,1)}
        45:{3,4,6}:{(32,1),(58,1),(59,1),(60,1)}
        46:{2,3,5}:{(34,1),(61,1),(62,1),(93,1)}
        47:{1,2,4,7}:{(33,1),(35,1),(55,1),(63,1),(88,1),(92,1)}
        48:{1,3,6}:{(33,1),(34,1),(36,1),(61,1),(63,1)}
        49:{1,3,4}:{(34,1),(37,1),(62,1)}
        50:{2,3,7}:{(35,1),(36,1),(63,1)}
        51:{2,3,4,6}:{(36,1),(37,1),(58,1),(64,1),(65,1),(66,1),(95,1)}
        52:{2,6,7}:{(38,1),(42,1)}
        53:{3,6,7}:{(39,1),(44,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(47,1),(67,1),(72,1),(105,1)}
        56:{1,3,5,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(80,1),(106,1),(117,1)}
        57:{2,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(68,1),(72,1),(74,1),(98,1)}
        58:{2,4,6}:{(43,1),(45,1),(73,1),(74,1),(75,1)}
        59:{3,4,7}:{(44,1),(45,1),(74,1)}
        60:{3,4,5}:{(45,1),(75,1)}
        61:{2,3,6}:{(46,1),(48,1),(77,1),(78,1)}
        62:{2,4}:{(46,1),(49,1)}
        63:{1,3,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(73,1),(78,1),(79,1),(80,1),(100,1),(106,1)}
        65:{2,3,4,7}:{(50,1),(51,1),(74,1),(79,1),(81,1)}
        66:{2,3,5}:{(51,1),(75,1),(80,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(57,1),(82,1),(83,1),(95,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(59,1),(83,1),(84,1),(91,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(61,1),(86,1),(87,1),(93,1),(111,1),(114,1),(121,1),(122,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(63,1),(82,1),(86,1),(88,1),(108,1)}
        73:{1,4,6}:{(56,1),(58,1),(87,1),(88,1),(89,1)}
        74:{2,4,7}:{(57,1),(58,1),(59,1),(88,1)}
        75:{2,4,5}:{(58,1),(60,1),(66,1),(89,1)}
        76:{3,4,5,7}:{(59,1),(60,1),(84,1),(90,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{2,4,6}:{(61,1),(62,1),(64,1),(92,1),(93,1),(114,1)}
        79:{1,3,4,7}:{(63,1),(64,1),(65,1),(88,1),(92,1),(94,1),(110,1)}
        80:{1,3,5}:{(64,1),(66,1),(89,1),(93,1),(111,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(90,1),(94,1),(95,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(72,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(74,1),(97,1),(98,1),(104,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1),(101,1),(105,1),(116,1),(118,1)}
        87:{2,4,6}:{(71,1),(73,1),(100,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(74,1),(101,1)}
        89:{1,4,5}:{(73,1),(75,1),(80,1),(102,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(76,1),(81,1),(98,1),(103,1),(104,1)}
        91:{3,4,6}:{(76,1),(99,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(79,1),(105,1)}
        93:{2,5}:{(78,1),(80,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(81,1),(103,1),(105,1),(106,1),(118,1)}
        95:{2,3,6}:{(81,1),(104,1),(106,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(88,1),(107,1),(108,1),(113,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(91,1),(109,1)}
       100:{3,4,6}:{(87,1),(110,1),(111,1),(122,1)}
       101:{2,4,7}:{(86,1),(87,1),(88,1),(110,1)}
       102:{2,4,5}:{(87,1),(89,1),(93,1),(111,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(90,1),(94,1),(108,1),(112,1),(113,1)}
       104:{2,4,6}:{(90,1),(91,1),(95,1),(109,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(94,1),(114,1)}
       106:{1,3,6}:{(94,1),(95,1),(113,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(101,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(104,1),(117,1)}
       110:{3,4,7}:{(100,1),(101,1),(118,1)}
       111:{3,5}:{(100,1),(102,1)}
       112:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       113:{1,4,6}:{(103,1),(104,1),(106,1),(117,1),(119,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(113,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(112,1),(122,1)}
       119:{2,4,6}:{(112,1),(113,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2514 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(52,1),(116,1),(131,1),(182,1),(187,1),(209,1),(225,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(30,1),(32,1),(143,1),(165,1),(239,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(40,1),(85,1),(94,1),(168,1),(176,1),(178,1),(236,1),(272,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(83,1),(161,1),(230,1),(237,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(55,1),(287,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(213,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(133,1),(222,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(61,1),(65,1),(133,1),(223,1),(315,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1),(122,1),(132,1),(285,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(274,1),(281,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(48,1),(118,1),(199,1),(209,1),(225,1),(278,1),(286,1)}
        11:{1,2,3,6,7}:{(4,1),(23,1),(24,1),(87,1),(143,1),(146,1),(232,1),(241,1),(332,1),(394,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(168,1),(263,1)}
        13:{1,2,3,5,6}:{(4,1),(23,1),(31,1),(32,1),(73,1),(86,1),(89,1),(146,1),(165,1),(171,1),(232,1),(267,1),(326,1),(350,1),(392,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(32,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(30,1),(32,1),(33,1),(81,1),(85,1),(91,1),(168,1),(236,1),(239,1),(264,1),(351,1)}
        16:{2,3,4,6}:{(6,1),(29,1),(35,1),(36,1),(95,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(30,1),(35,1),(36,1),(270,1),(352,1)}
        18:{2,4,6}:{(7,1),(8,1),(36,1),(37,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(97,1),(327,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(38,1),(40,1),(77,1),(87,1),(152,1),(168,1),(178,1),(249,1),(272,1),(331,1)}
        21:{2,4,5,6}:{(9,1),(39,1),(41,1),(42,1),(161,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(40,1),(42,1),(319,1),(328,1)}
        23:{1,2,3,5,7}:{(11,1),(13,1),(44,1),(45,1),(105,1),(123,1),(219,1),(313,1),(380,1),(410,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(106,1),(190,1),(280,1),(286,1),(287,1)}
        25:{2,3,4,6,7}:{(16,1),(43,1),(46,1),(63,1),(104,1),(109,1),(133,1),(192,1),(198,1),(286,1),(356,1),(408,1),(424,1)}
        26:{2,3,5,6,7}:{(22,1),(47,1),(48,1),(50,1),(114,1),(199,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(275,1),(299,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(209,1),(303,1)}
        29:{1,3,4,6}:{(12,1),(14,1),(16,1),(51,1),(54,1),(55,1),(122,1)}
        30:{1,3,5,7}:{(12,1),(15,1),(17,1),(52,1),(54,1),(55,1),(310,1),(380,1)}
        31:{1,2,4,6}:{(13,1),(44,1),(56,1),(57,1),(122,1),(213,1),(215,1),(409,1)}
        32:{1,2,5}:{(14,1),(54,1)}
        33:{1,2,4,6}:{(15,1),(18,1),(55,1),(58,1),(115,1),(122,1),(285,1),(287,1)}
        34:{2,3,4,5,7}:{(17,1),(53,1),(60,1),(61,1),(108,1),(130,1),(133,1),(187,1),(207,1),(306,1)}
        35:{2,3,5}:{(16,1),(54,1),(61,1)}
        36:{2,3,6}:{(17,1),(18,1),(55,1)}
        37:{2,5,6}:{(18,1),(19,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(20,1),(63,1),(65,1),(133,1),(296,1),(315,1)}
        39:{1,4,5,6}:{(19,1),(21,1),(64,1),(67,1),(122,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(22,1),(65,1),(67,1),(135,1),(365,1)}
        41:{3,4,5,6}:{(21,1),(68,1),(208,1),(274,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(48,1),(67,1),(68,1),(209,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(29,1),(69,1),(70,1),(71,1),(87,1),(141,1),(144,1),(146,1),(168,1),(240,1),(325,1),(331,1),(394,1),(420,1)}
        44:{1,2,4,7}:{(23,1),(31,1),(71,1),(168,1),(266,1),(420,1)}
        45:{1,2,5,7}:{(24,1),(32,1),(70,1),(73,1),(326,1),(328,1)}
        46:{2,3,5,7}:{(25,1),(35,1),(70,1),(74,1),(75,1),(244,1),(328,1),(385,1)}
        47:{1,3,5,6,7}:{(26,1),(40,1),(76,1),(77,1),(152,1),(157,1),(249,1)}
        48:{2,4,6,7}:{(26,1),(42,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(157,1),(234,1),(252,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(319,1),(341,1)}
        51:{2,3,4,6}:{(28,1),(29,1),(82,1),(83,1),(161,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(81,1),(82,1),(83,1),(345,1),(400,1)}
        53:{1,3,4,5,7}:{(30,1),(34,1),(81,1),(84,1),(85,1),(160,1),(164,1),(168,1),(236,1),(257,1),(259,1),(347,1)}
        54:{1,3,5}:{(29,1),(32,1),(35,1),(82,1),(85,1)}
        55:{1,3,6}:{(30,1),(33,1),(36,1),(83,1)}
        56:{1,3,4,6}:{(31,1),(71,1),(88,1),(89,1),(146,1),(263,1),(350,1)}
        57:{1,2,4,5}:{(31,1),(32,1),(85,1),(89,1),(166,1),(326,1),(391,1)}
        58:{1,2,5,6}:{(32,1),(33,1),(37,1),(86,1),(91,1),(158,1),(327,1)}
        59:{1,2,4,6,7}:{(33,1),(38,1),(87,1),(91,1),(159,1),(168,1),(331,1),(332,1),(351,1)}
        60:{2,3,4,6}:{(34,1),(36,1),(84,1),(92,1),(95,1),(150,1),(237,1)}
        61:{2,4,5}:{(35,1),(85,1),(94,1),(95,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(37,1),(86,1),(95,1),(96,1),(97,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(87,1),(96,1),(152,1),(352,1)}
        64:{2,4,5,6}:{(37,1),(39,1),(95,1),(97,1),(98,1)}
        65:{2,5,7}:{(37,1),(38,1),(40,1)}
        66:{1,3,4,5,6}:{(39,1),(41,1),(97,1),(99,1),(100,1),(154,1),(167,1),(179,1),(233,1),(250,1),(339,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(42,1),(77,1),(98,1),(168,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(259,1),(319,1)}
        69:{2,3,4,6,7}:{(43,1),(51,1),(101,1),(104,1),(118,1),(183,1),(192,1),(209,1),(278,1),(286,1),(290,1),(371,1),(411,1)}
        70:{1,3,5,7}:{(43,1),(45,1),(46,1),(54,1),(101,1),(102,1),(103,1),(363,1),(365,1)}
        71:{1,3,4,7}:{(44,1),(56,1),(104,1),(105,1),(380,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(57,1),(102,1),(105,1),(106,1),(187,1)}
        73:{1,2,5,6}:{(45,1),(103,1),(106,1),(281,1),(287,1)}
        74:{2,4,5,7}:{(46,1),(61,1),(102,1),(108,1),(109,1),(133,1),(405,1),(424,1)}
        75:{2,3,5,6}:{(46,1),(103,1),(109,1),(192,1),(194,1),(281,1)}
        76:{2,5,6,7}:{(47,1),(65,1),(111,1),(296,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(67,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(195,1),(203,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(282,1)}
        81:{2,4,5,7}:{(52,1),(53,1),(115,1),(116,1),(206,1),(209,1),(304,1),(378,1)}
        82:{2,3,5}:{(51,1),(54,1),(116,1)}
        83:{2,3,6}:{(52,1),(55,1),(115,1)}
        84:{1,3,4,6}:{(53,1),(55,1),(60,1),(115,1),(119,1),(122,1),(208,1),(285,1)}
        85:{1,4,5}:{(54,1),(61,1),(116,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(58,1),(62,1),(117,1),(122,1),(123,1)}
        87:{1,3,6,7}:{(55,1),(59,1),(63,1),(118,1),(123,1),(380,1)}
        88:{2,3,4,6}:{(56,1),(104,1),(125,1),(126,1),(192,1),(215,1),(222,1),(303,1),(314,1),(377,1)}
        89:{1,3,5}:{(56,1),(57,1),(126,1)}
        90:{1,2,4,5,6}:{(57,1),(58,1),(64,1),(106,1),(122,1),(127,1),(128,1),(136,1),(185,1),(205,1),(215,1),(226,1),(281,1),(297,1),(308,1),(311,1),(364,1),(375,1),(402,1),(409,1)}
        91:{1,2,5,7}:{(58,1),(59,1),(65,1),(123,1),(206,1),(365,1)}
        92:{2,3,5,6}:{(60,1),(119,1),(129,1),(130,1),(194,1),(281,1)}
        93:{2,3,4,6,7}:{(60,1),(63,1),(120,1),(130,1),(133,1),(198,1),(220,1),(286,1),(306,1),(374,1)}
        94:{3,4,5}:{(61,1),(132,1)}
        95:{2,4,6}:{(61,1),(62,1),(122,1),(132,1),(133,1)}
        96:{2,3,5,7}:{(62,1),(63,1),(65,1),(123,1),(133,1),(135,1)}
        97:{3,5,6}:{(64,1),(132,1),(135,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(67,1),(111,1),(133,1),(135,1)}
        99:{2,4,5,6}:{(66,1),(134,1),(136,1),(137,1),(215,1),(226,1),(281,1)}
       100:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(135,1),(137,1),(202,1),(216,1),(227,1),(282,1),(298,1),(373,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(82,1),(138,1),(139,1),(319,1),(328,1),(333,1)}
       102:{1,4,5,7}:{(70,1),(74,1),(85,1),(138,1),(141,1),(168,1),(391,1),(420,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(75,1),(139,1),(141,1),(146,1),(240,1),(327,1)}
       104:{2,3,4,7}:{(71,1),(88,1),(144,1),(145,1),(266,1),(352,1),(400,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(89,1),(145,1),(146,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(141,1),(146,1),(237,1)}
       107:{1,2,5,6,7}:{(73,1),(76,1),(91,1),(142,1),(147,1),(157,1),(253,1),(254,1),(328,1),(332,1),(390,1),(393,1),(417,1)}
       108:{3,4,5,7}:{(74,1),(94,1),(150,1),(178,1),(244,1),(414,1),(426,1)}
       109:{2,4,6}:{(74,1),(75,1),(141,1),(150,1)}
       110:{2,3,5,6,7}:{(75,1),(76,1),(96,1),(142,1),(151,1),(152,1),(241,1),(244,1),(328,1),(417,1),(419,1),(425,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(98,1),(152,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(100,1),(152,1),(153,1),(155,1),(249,1),(252,1),(341,1)}
       113:{3,5,6,7}:{(79,1),(152,1),(155,1),(244,1)}
       114:{2,5,6,7}:{(80,1),(153,1),(157,1),(328,1)}
       115:{2,4,6}:{(81,1),(83,1),(84,1),(158,1)}
       116:{2,4,5}:{(82,1),(85,1),(160,1),(161,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(158,1),(161,1),(162,1),(255,1)}
       118:{2,3,6,7}:{(83,1),(87,1),(159,1),(162,1),(342,1),(400,1)}
       119:{1,3,5,6}:{(84,1),(92,1),(158,1),(163,1),(164,1),(255,1),(327,1)}
       120:{1,3,4,6,7}:{(84,1),(87,1),(93,1),(159,1),(164,1),(168,1),(259,1),(260,1),(331,1),(342,1),(347,1),(398,1)}
       121:{1,3,4,5}:{(85,1),(89,1),(94,1),(160,1),(166,1),(167,1),(338,1),(391,1),(414,1)}
       122:{1,4,6}:{(85,1),(86,1),(95,1),(161,1),(168,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(91,1),(96,1),(162,1),(168,1)}
       124:{1,2,3,6}:{(143,1),(165,1),(169,1),(350,1)}
       125:{1,3,4,6}:{(88,1),(144,1),(169,1),(170,1),(240,1),(263,1),(265,1),(350,1)}
       126:{2,3,5}:{(88,1),(89,1),(166,1),(170,1)}
       127:{1,3,5,6}:{(89,1),(90,1),(97,1),(146,1),(167,1),(171,1),(172,1),(255,1),(339,1),(350,1),(415,1)}
       128:{1,2,4,5,7}:{(90,1),(91,1),(98,1),(147,1),(168,1),(172,1),(181,1),(234,1),(256,1),(266,1),(273,1),(328,1),(340,1),(349,1),(351,1),(393,1),(399,1),(416,1),(420,1)}
       129:{2,4,5,6}:{(92,1),(95,1),(163,1),(174,1),(175,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(164,1),(175,1),(244,1),(328,1)}
       131:{2,3,4,5}:{(94,1),(166,1),(176,1),(177,1),(338,1),(345,1)}
       132:{3,4,6}:{(94,1),(95,1),(97,1),(178,1)}
       133:{2,4,7}:{(95,1),(96,1),(168,1),(178,1)}
       134:{2,3,5,6}:{(97,1),(99,1),(177,1),(179,1),(180,1),(339,1)}
       135:{3,5,7}:{(97,1),(98,1),(152,1),(178,1)}
       136:{1,4,5,6}:{(99,1),(179,1),(181,1),(265,1),(327,1)}
       137:{2,4,5,7}:{(99,1),(100,1),(153,1),(180,1),(181,1),(266,1),(273,1),(328,1)}
       138:{2,4,5,7}:{(101,1),(102,1),(116,1),(182,1),(183,1),(209,1),(368,1),(411,1)}
       139:{2,3,5,6}:{(101,1),(103,1),(183,1),(192,1),(274,1),(281,1)}
       140:{1,3,4,5,7}:{(102,1),(105,1),(108,1),(121,1),(182,1),(187,1),(188,1),(216,1),(282,1)}
       141:{1,4,6}:{(102,1),(103,1),(109,1),(183,1)}
       142:{1,3,5,6,7}:{(103,1),(107,1),(110,1),(123,1),(184,1),(189,1),(193,1),(282,1),(288,1),(365,1),(410,1)}
       143:{1,2,3,7}:{(124,1),(190,1),(380,1)}
       144:{1,3,4,7}:{(104,1),(125,1),(190,1),(191,1),(312,1),(380,1)}
       145:{2,3,5,7}:{(104,1),(105,1),(126,1),(187,1),(191,1),(192,1)}
       146:{1,3,6}:{(105,1),(106,1),(192,1)}
       147:{1,2,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(189,1),(193,1),(200,1),(286,1),(296,1),(299,1),(300,1),(379,1),(412,1),(421,1)}
       148:{2,4,5,6}:{(109,1),(185,1),(194,1),(195,1),(281,1)}
       149:{2,3,4,5,7}:{(108,1),(131,1),(187,1),(196,1),(197,1),(225,1),(292,1),(359,1),(405,1),(424,1)}
       150:{3,4,6}:{(108,1),(109,1),(194,1)}
       151:{2,4,6,7}:{(109,1),(110,1),(133,1),(189,1),(195,1),(198,1),(424,1)}
       152:{3,6,7}:{(111,1),(135,1)}
       153:{2,4,6,7}:{(112,1),(114,1),(137,1),(199,1),(200,1),(296,1)}
       154:{3,4,5,6}:{(194,1),(201,1),(202,1),(422,1)}
       155:{3,4,6,7}:{(113,1),(202,1),(203,1)}
       156:{2,3,5,6,7}:{(113,1),(114,1),(199,1),(203,1),(204,1),(292,1)}
       157:{1,5,6,7}:{(114,1),(200,1),(365,1)}
       158:{2,5,6}:{(115,1),(119,1),(206,1)}
       159:{2,4,6,7}:{(115,1),(118,1),(120,1),(206,1),(209,1),(378,1),(412,1)}
       160:{3,4,5}:{(116,1),(208,1)}
       161:{2,4,6}:{(116,1),(117,1),(122,1),(208,1),(209,1)}
       162:{2,3,5,7}:{(117,1),(118,1),(123,1),(206,1),(209,1),(302,1)}
       163:{1,4,5,6}:{(119,1),(122,1),(129,1),(205,1),(212,1)}
       164:{1,3,5,7}:{(119,1),(120,1),(130,1),(206,1),(212,1),(302,1),(365,1)}
       165:{1,2,3,5}:{(124,1),(213,1),(217,1),(310,1)}
       166:{2,4,5}:{(121,1),(126,1),(214,1),(215,1)}
       167:{1,3,4,6}:{(121,1),(122,1),(127,1),(132,1),(208,1),(215,1),(216,1),(372,1),(409,1),(422,1)}
       168:{1,4,7}:{(122,1),(123,1),(133,1),(209,1)}
       169:{1,2,4,6}:{(124,1),(125,1),(190,1),(213,1),(217,1),(287,1)}
       170:{1,3,5}:{(125,1),(126,1),(214,1),(217,1)}
       171:{2,3,5,6}:{(126,1),(127,1),(192,1),(215,1),(218,1),(219,1),(226,1),(281,1),(314,1),(375,1),(377,1)}
       172:{1,3,5,7}:{(127,1),(128,1),(135,1),(193,1),(216,1),(219,1),(302,1),(373,1),(380,1),(423,1)}
       173:{2,3,5,6,7}:{(130,1),(210,1),(220,1),(289,1),(362,1),(374,1)}
       174:{3,4,5,6}:{(129,1),(132,1),(194,1),(221,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(133,1),(212,1),(220,1),(221,1)}
       176:{1,3,4,5}:{(131,1),(214,1),(223,1),(224,1),(310,1)}
       177:{2,3,4,6}:{(131,1),(132,1),(134,1),(215,1),(224,1),(225,1),(372,1),(377,1)}
       178:{3,4,7}:{(132,1),(133,1),(135,1)}
       179:{1,3,5,6}:{(134,1),(136,1),(224,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(134,1),(135,1),(137,1),(199,1),(225,1),(227,1),(373,1)}
       181:{1,4,5,7}:{(136,1),(137,1),(200,1),(227,1),(312,1),(365,1)}
       182:{3,4,5,7}:{(138,1),(160,1),(230,1),(259,1),(319,1),(338,1),(397,1)}
       183:{2,4,6}:{(138,1),(139,1),(141,1),(230,1)}
       184:{2,3,5,6,7}:{(139,1),(142,1),(162,1),(231,1),(241,1),(253,1),(254,1),(319,1),(328,1),(341,1),(342,1),(396,1)}
       185:{1,4,5,6}:{(141,1),(148,1),(228,1),(233,1),(234,1),(327,1)}
       186:{1,2,3,5,7}:{(143,1),(165,1),(232,1),(235,1),(239,1),(326,1),(329,1)}
       187:{2,4,5,7}:{(140,1),(145,1),(166,1),(236,1),(237,1),(266,1),(328,1)}
       188:{1,3,4,6}:{(140,1),(141,1),(146,1),(150,1),(230,1),(233,1),(237,1)}
       189:{1,4,6,7}:{(141,1),(142,1),(151,1),(168,1),(231,1),(234,1),(420,1)}
       190:{1,2,4,7}:{(143,1),(144,1),(169,1),(239,1)}
       191:{1,3,5,7}:{(144,1),(145,1),(170,1),(236,1),(239,1),(240,1)}
       192:{2,3,6}:{(145,1),(146,1),(237,1),(240,1)}
       193:{1,3,6,7}:{(146,1),(147,1),(152,1),(172,1),(241,1),(341,1),(342,1),(425,1)}
       194:{3,5,6}:{(148,1),(150,1),(244,1)}
       195:{2,4,5,7}:{(148,1),(151,1),(234,1),(244,1),(328,1)}
       196:{1,3,4,5,7}:{(149,1),(176,1),(236,1),(246,1),(247,1),(272,1),(329,1),(335,1),(338,1),(391,1),(397,1),(420,1)}
       197:{2,3,4,6}:{(149,1),(150,1),(237,1),(243,1),(247,1),(388,1),(418,1)}
       198:{3,4,6,7}:{(150,1),(151,1),(152,1),(178,1),(244,1),(425,1),(426,1)}
       199:{2,3,6,7}:{(152,1),(153,1),(180,1),(249,1),(341,1)}
       200:{1,4,6,7}:{(153,1),(157,1),(181,1),(249,1)}
       201:{2,4,5,6}:{(154,1),(243,1),(250,1),(251,1),(418,1)}
       202:{3,4,5,7}:{(154,1),(155,1),(244,1),(251,1),(426,1)}
       203:{2,4,6,7}:{(155,1),(156,1),(251,1),(252,1)}
       204:{1,3,5,6,7}:{(156,1),(157,1),(249,1),(252,1),(253,1),(335,1),(341,1)}
       205:{2,4,5,6}:{(158,1),(161,1),(163,1),(255,1),(256,1)}
       206:{2,5,7}:{(158,1),(159,1),(164,1)}
       207:{2,3,4,5}:{(160,1),(166,1),(257,1),(258,1),(270,1),(414,1)}
       208:{3,4,6}:{(160,1),(161,1),(255,1),(259,1)}
       209:{2,4,7}:{(161,1),(162,1),(168,1),(259,1)}
       210:{1,3,5,6,7}:{(164,1),(173,1),(254,1),(260,1),(342,1),(390,1),(398,1)}
       211:{1,3,4,5,6}:{(163,1),(167,1),(174,1),(233,1),(255,1),(261,1),(262,1),(316,1),(343,1),(382,1),(415,1)}
       212:{1,4,5,7}:{(163,1),(164,1),(168,1),(175,1),(256,1),(260,1)}
       213:{1,2,4}:{(165,1),(263,1)}
       214:{1,4,5}:{(166,1),(170,1),(265,1)}
       215:{2,4,6}:{(166,1),(167,1),(171,1),(265,1),(266,1)}
       216:{1,3,4,7}:{(167,1),(168,1),(172,1),(178,1),(259,1),(266,1),(397,1),(420,1),(426,1)}
       217:{1,2,5}:{(169,1),(170,1)}
       218:{1,3,5,6}:{(170,1),(171,1),(240,1),(265,1),(267,1),(268,1),(327,1),(350,1)}
       219:{2,3,5,7}:{(171,1),(172,1),(241,1),(266,1),(268,1),(273,1),(328,1),(352,1),(399,1),(400,1)}
       220:{2,4,6,7}:{(173,1),(175,1),(260,1),(269,1)}
       221:{3,4,5,7}:{(174,1),(175,1),(178,1),(244,1),(269,1)}
       222:{2,3,4}:{(263,1),(270,1)}
       223:{2,4,5}:{(176,1),(270,1),(271,1)}
       224:{1,3,4,6}:{(176,1),(177,1),(179,1),(265,1),(271,1),(272,1),(350,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(180,1),(266,1),(272,1),(397,1),(400,1)}
       226:{2,5,6}:{(179,1),(271,1),(273,1)}
       227:{1,3,5,7}:{(179,1),(180,1),(181,1),(249,1),(272,1),(273,1)}
       228:{2,4,5,6}:{(183,1),(185,1),(274,1),(275,1),(281,1)}
       229:{2,3,4,5,7}:{(182,1),(187,1),(207,1),(276,1),(277,1),(293,1),(306,1),(358,1),(368,1),(411,1)}
       230:{3,4,6}:{(182,1),(183,1),(274,1)}
       231:{2,4,6,7}:{(183,1),(184,1),(189,1),(209,1),(275,1),(278,1),(411,1)}
       232:{1,2,3,6}:{(186,1),(280,1),(287,1),(366,1)}
       233:{1,3,5,6}:{(185,1),(188,1),(194,1),(274,1),(281,1),(282,1)}
       234:{1,4,5,7}:{(185,1),(189,1),(195,1),(275,1),(282,1),(365,1)}
       235:{1,2,4,7}:{(186,1),(213,1),(280,1),(283,1)}
       236:{1,4,5,7}:{(187,1),(191,1),(214,1),(285,1),(312,1),(365,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(281,1),(285,1)}
       238:{1,3,4,6,7}:{(188,1),(189,1),(193,1),(198,1),(216,1),(278,1),(282,1),(286,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(217,1),(287,1)}
       240:{1,3,6}:{(191,1),(192,1),(285,1),(287,1)}
       241:{2,3,6,7}:{(192,1),(193,1),(219,1),(286,1),(288,1),(296,1),(412,1)}
       242:{2,4,5,6,7}:{(195,1),(220,1),(279,1),(289,1),(362,1),(421,1)}
       243:{2,3,5,6}:{(194,1),(197,1),(201,1),(281,1),(291,1),(292,1)}
       244:{3,5,7}:{(194,1),(195,1),(198,1)}
       245:{2,3,4,7}:{(222,1),(283,1),(290,1),(293,1),(411,1)}
       246:{2,4,5,7}:{(196,1),(223,1),(293,1),(294,1),(315,1),(368,1),(370,1),(411,1)}
       247:{1,3,4,6}:{(196,1),(197,1),(285,1),(291,1),(294,1),(366,1),(372,1),(409,1)}
       248:{2,3,4,6,7}:{(197,1),(198,1),(199,1),(203,1),(225,1),(286,1),(292,1),(295,1),(408,1),(424,1)}
       249:{1,3,6,7}:{(199,1),(200,1),(227,1),(296,1)}
       250:{1,4,5,6}:{(201,1),(291,1),(297,1),(298,1),(409,1)}
       251:{2,4,5,7}:{(201,1),(202,1),(203,1),(292,1),(298,1),(424,1)}
       252:{1,4,6,7}:{(203,1),(204,1),(298,1),(299,1)}
       253:{2,5,6,7}:{(204,1),(296,1),(299,1),(370,1)}
       254:{2,5,6,7}:{(206,1),(210,1),(300,1),(412,1)}
       255:{3,5,6}:{(205,1),(208,1),(302,1)}
       256:{2,4,5,7}:{(205,1),(206,1),(209,1),(212,1),(300,1),(302,1)}
       257:{1,3,4,5}:{(207,1),(214,1),(304,1),(305,1),(310,1)}
       258:{2,3,4,6}:{(207,1),(208,1),(215,1),(301,1),(305,1),(306,1),(314,1),(422,1)}
       259:{3,4,7}:{(208,1),(209,1),(302,1)}
       260:{1,4,6,7}:{(210,1),(212,1),(220,1),(300,1)}
       261:{2,4,5,6}:{(211,1),(215,1),(281,1),(301,1),(308,1),(309,1),(375,1)}
       262:{1,3,4,5,7}:{(211,1),(212,1),(216,1),(221,1),(282,1),(302,1),(307,1),(309,1),(354,1),(376,1),(403,1),(423,1)}
       263:{1,3,4}:{(213,1),(222,1),(303,1),(310,1)}
       264:{1,2,4,5}:{(213,1),(214,1),(217,1),(223,1),(304,1),(310,1),(311,1)}
       265:{1,4,6}:{(214,1),(215,1),(218,1),(312,1)}
       266:{2,4,7}:{(215,1),(216,1),(219,1),(312,1)}
       267:{1,2,5,6}:{(217,1),(218,1),(226,1),(287,1),(311,1),(313,1),(375,1)}
       268:{1,3,5,7}:{(218,1),(219,1),(288,1),(312,1),(313,1),(365,1),(380,1)}
       269:{3,4,6,7}:{(220,1),(221,1),(289,1)}
       270:{2,3,5}:{(222,1),(223,1),(310,1),(314,1)}
       271:{2,4,6}:{(223,1),(224,1),(226,1),(314,1),(315,1)}
       272:{1,3,4,7}:{(224,1),(225,1),(227,1),(312,1),(315,1),(380,1)}
       273:{2,5,7}:{(226,1),(227,1),(296,1),(315,1)}
       274:{3,5,6}:{(228,1),(230,1),(319,1)}
       275:{2,4,5,7}:{(228,1),(231,1),(234,1),(319,1),(328,1)}
       276:{1,3,4,5,7}:{(229,1),(236,1),(257,1),(321,1),(322,1),(329,1),(347,1),(387,1),(391,1),(414,1),(420,1),(426,1)}
       277:{2,3,4,6}:{(229,1),(230,1),(237,1),(318,1),(322,1),(336,1),(395,1)}
       278:{3,4,6,7}:{(230,1),(231,1),(259,1),(319,1),(341,1),(342,1),(397,1)}
       279:{1,4,5,6,7}:{(234,1),(242,1),(260,1),(317,1),(324,1),(390,1),(413,1)}
       280:{1,2,4,6}:{(232,1),(235,1),(325,1),(326,1)}
       281:{2,5,6}:{(233,1),(237,1),(327,1),(328,1)}
       282:{1,3,5,7}:{(233,1),(234,1),(238,1),(244,1),(319,1),(328,1)}
       283:{1,3,4,7}:{(235,1),(245,1),(263,1),(320,1),(325,1),(329,1),(420,1)}
       284:{1,2,4,5,7}:{(235,1),(236,1),(239,1),(246,1),(264,1),(321,1),(326,1),(329,1),(330,1),(351,1),(391,1),(393,1),(420,1)}
       285:{1,4,6}:{(236,1),(237,1),(240,1),(327,1)}
       286:{2,4,6,7}:{(237,1),(238,1),(241,1),(266,1),(328,1),(331,1)}
       287:{1,2,6}:{(239,1),(240,1)}
       288:{1,3,6,7}:{(240,1),(241,1),(268,1),(331,1),(332,1)}
       289:{3,5,6,7}:{(242,1),(244,1),(269,1),(425,1)}
       290:{2,3,4,6}:{(245,1),(325,1),(333,1),(336,1),(395,1)}
       291:{1,3,5,6}:{(243,1),(247,1),(250,1),(327,1),(334,1),(335,1),(339,1)}
       292:{2,3,5,7}:{(243,1),(244,1),(248,1),(251,1),(328,1),(335,1)}
       293:{2,3,5,7}:{(245,1),(246,1),(270,1),(329,1),(333,1),(336,1),(352,1)}
       294:{2,4,6}:{(246,1),(247,1),(334,1),(336,1)}
       295:{1,3,4,6,7}:{(247,1),(248,1),(249,1),(252,1),(272,1),(331,1),(335,1),(337,1),(341,1),(394,1),(397,1),(420,1)}
       296:{2,6,7}:{(249,1),(273,1)}
       297:{2,4,5,6}:{(250,1),(334,1),(339,1),(340,1),(395,1)}
       298:{1,4,5,7}:{(250,1),(251,1),(252,1),(335,1),(340,1),(420,1)}
       299:{2,4,6,7}:{(252,1),(253,1),(340,1),(341,1)}
       300:{2,4,6,7}:{(254,1),(256,1),(260,1),(342,1)}
       301:{2,3,5,6}:{(255,1),(258,1),(261,1),(343,1),(344,1),(415,1)}
       302:{3,5,7}:{(255,1),(256,1),(259,1),(342,1)}
       303:{2,3,4}:{(263,1),(345,1)}
       304:{2,4,5}:{(257,1),(345,1),(346,1)}
       305:{1,3,4,6}:{(257,1),(258,1),(265,1),(343,1),(346,1),(347,1),(350,1)}
       306:{2,3,4,7}:{(258,1),(259,1),(266,1),(344,1),(347,1),(352,1),(426,1)}
       307:{1,3,4,6,7}:{(260,1),(262,1),(269,1),(324,1),(342,1),(348,1),(381,1),(398,1),(413,1),(425,1)}
       308:{1,4,5,6}:{(261,1),(265,1),(327,1),(343,1),(349,1)}
       309:{2,4,5,7}:{(261,1),(262,1),(266,1),(328,1),(344,1),(348,1),(349,1),(399,1)}
       310:{1,3,5}:{(263,1),(264,1),(270,1),(345,1),(350,1)}
       311:{1,2,4,6}:{(264,1),(265,1),(267,1),(271,1),(346,1),(350,1),(351,1)}
       312:{1,4,7}:{(265,1),(266,1),(268,1)}
       313:{1,2,5,7}:{(267,1),(268,1),(273,1),(332,1),(351,1),(399,1)}
       314:{2,3,6}:{(270,1),(271,1),(350,1),(352,1)}
       315:{2,4,7}:{(271,1),(272,1),(273,1),(352,1)}
       316:{3,4,5,6}:{(274,1),(353,1),(354,1),(372,1)}
       317:{2,4,5,6,7}:{(275,1),(279,1),(300,1),(355,1),(362,1),(401,1)}
       318:{2,3,5,6}:{(274,1),(277,1),(281,1),(353,1),(357,1),(358,1)}
       319:{3,5,7}:{(274,1),(275,1),(278,1)}
       320:{2,3,4,7}:{(283,1),(303,1),(356,1),(359,1),(424,1)}
       321:{2,4,5,7}:{(276,1),(304,1),(359,1),(360,1),(378,1),(405,1),(407,1),(424,1)}
       322:{1,3,4,6}:{(276,1),(277,1),(285,1),(357,1),(360,1),(366,1),(409,1),(422,1)}
       323:{2,3,4,6,7}:{(277,1),(278,1),(286,1),(306,1),(358,1),(361,1),(371,1),(374,1),(401,1),(411,1)}
       324:{1,3,5,6,7}:{(279,1),(282,1),(289,1),(307,1),(355,1),(362,1)}
       325:{1,3,4,6}:{(280,1),(283,1),(290,1),(356,1),(363,1),(366,1),(409,1)}
       326:{1,2,5}:{(280,1),(363,1)}
       327:{1,5,6}:{(281,1),(285,1),(365,1)}
       328:{2,5,7}:{(281,1),(282,1),(286,1),(365,1)}
       329:{1,3,5,7}:{(283,1),(284,1),(293,1),(310,1),(359,1),(363,1),(366,1),(380,1)}
       330:{1,2,4,6}:{(284,1),(285,1),(287,1),(294,1),(360,1),(364,1),(366,1),(409,1)}
       331:{1,4,6,7}:{(285,1),(286,1),(288,1),(312,1),(365,1)}
       332:{1,2,6,7}:{(287,1),(288,1),(296,1),(313,1),(412,1)}
       333:{2,3,5}:{(290,1),(363,1),(368,1)}
       334:{2,5,6}:{(291,1),(294,1),(370,1)}
       335:{1,3,5,7}:{(291,1),(292,1),(295,1),(298,1),(365,1),(370,1),(373,1)}
       336:{2,3,6}:{(293,1),(294,1),(366,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(296,1),(315,1),(370,1),(371,1),(411,1)}
       338:{3,4,5}:{(368,1),(372,1)}
       339:{3,5,6}:{(297,1),(372,1),(373,1)}
       340:{2,4,5,7}:{(297,1),(298,1),(299,1),(370,1),(373,1),(411,1)}
       341:{3,6,7}:{(299,1),(373,1)}
       342:{3,6,7}:{(300,1),(302,1)}
       343:{1,3,5,6}:{(301,1),(305,1),(308,1),(375,1),(376,1)}
       344:{2,3,5,7}:{(301,1),(302,1),(306,1),(309,1),(374,1),(376,1),(423,1)}
       345:{2,3,5}:{(303,1),(304,1),(310,1),(377,1)}
       346:{2,4,6}:{(304,1),(305,1),(375,1),(377,1),(378,1)}
       347:{1,3,4,7}:{(305,1),(306,1),(312,1),(376,1),(378,1),(380,1)}
       348:{2,4,6,7}:{(307,1),(309,1),(362,1),(374,1),(379,1),(412,1)}
       349:{1,4,5,7}:{(308,1),(309,1),(312,1),(365,1),(376,1),(379,1)}
       350:{1,3,6}:{(310,1),(311,1),(314,1),(377,1),(380,1)}
       351:{1,2,4,7}:{(311,1),(312,1),(313,1),(315,1),(378,1),(380,1)}
       352:{2,3,7}:{(314,1),(315,1),(380,1)}
       353:{2,4,5,6}:{(316,1),(318,1),(382,1),(383,1),(395,1)}
       354:{3,4,5,7}:{(316,1),(319,1),(381,1),(383,1),(397,1)}
       355:{3,5,6,7}:{(317,1),(319,1),(342,1),(381,1)}
       356:{2,3,4,6}:{(320,1),(325,1),(385,1),(388,1),(418,1)}
       357:{1,3,5,6}:{(318,1),(322,1),(327,1),(382,1),(386,1),(387,1),(415,1)}
       358:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(383,1),(387,1)}
       359:{2,3,5,7}:{(320,1),(321,1),(329,1),(345,1),(385,1),(388,1),(400,1)}
       360:{2,4,6}:{(321,1),(322,1),(386,1),(388,1)}
       361:{1,3,4,6,7}:{(322,1),(323,1),(331,1),(347,1),(387,1),(389,1),(394,1),(398,1),(413,1),(420,1),(425,1),(426,1)}
       362:{2,5,6,7}:{(324,1),(328,1),(348,1),(390,1)}
       363:{1,3,5}:{(325,1),(326,1),(333,1),(385,1),(391,1)}
       364:{1,2,5,6}:{(326,1),(327,1),(330,1),(334,1),(386,1),(392,1),(393,1)}
       365:{1,5,7}:{(327,1),(328,1),(331,1)}
       366:{1,3,6}:{(329,1),(330,1),(336,1),(388,1)}
       367:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(337,1),(351,1),(389,1),(393,1),(394,1),(420,1)}
       368:{2,4,5}:{(333,1),(338,1),(391,1),(395,1)}
       369:{2,3,5,6}:{(333,1),(334,1),(336,1),(339,1),(392,1),(395,1),(396,1)}
       370:{2,5,7}:{(334,1),(335,1),(337,1)}
       371:{2,3,6,7}:{(336,1),(337,1),(341,1),(352,1),(394,1),(396,1)}
       372:{3,4,6}:{(338,1),(339,1),(395,1),(397,1)}
       373:{3,5,7}:{(339,1),(340,1),(341,1),(397,1)}
       374:{2,3,6,7}:{(342,1),(344,1),(348,1),(398,1),(425,1)}
       375:{2,5,6}:{(343,1),(346,1),(399,1)}
       376:{1,3,5,7}:{(343,1),(344,1),(347,1),(349,1),(398,1),(399,1)}
       377:{2,3,6}:{(345,1),(346,1),(350,1),(400,1)}
       378:{2,4,7}:{(346,1),(347,1),(399,1),(400,1)}
       379:{1,4,6,7}:{(348,1),(349,1),(390,1),(398,1)}
       380:{1,3,7}:{(350,1),(351,1),(352,1),(400,1)}
       381:{3,4,6,7}:{(354,1),(355,1),(401,1)}
       382:{1,4,5,6}:{(353,1),(357,1),(402,1),(403,1),(409,1)}
       383:{2,4,5,7}:{(353,1),(354,1),(358,1),(401,1),(403,1),(411,1)}
       384:{2,3,5,6,7}:{(355,1),(358,1),(362,1),(374,1),(401,1),(404,1)}
       385:{2,3,5}:{(356,1),(363,1),(405,1)}
       386:{2,5,6}:{(357,1),(360,1),(407,1)}
       387:{1,3,5,7}:{(357,1),(358,1),(361,1),(365,1),(403,1),(407,1),(423,1)}
       388:{2,3,6}:{(359,1),(360,1),(366,1)}
       389:{2,4,6,7}:{(360,1),(361,1),(378,1),(407,1),(408,1),(412,1),(424,1)}
       390:{1,5,6,7}:{(362,1),(365,1),(379,1)}
       391:{1,4,5}:{(363,1),(368,1),(405,1),(409,1)}
       392:{1,3,5,6}:{(363,1),(364,1),(366,1),(369,1),(406,1),(409,1),(410,1)}
       393:{1,2,5,7}:{(364,1),(365,1),(367,1),(370,1),(407,1),(410,1)}
       394:{1,3,6,7}:{(366,1),(367,1),(371,1),(380,1),(408,1),(410,1)}
       395:{2,4,6}:{(368,1),(369,1),(372,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(369,1),(370,1),(371,1),(373,1),(410,1),(411,1)}
       397:{3,4,7}:{(372,1),(373,1),(411,1)}
       398:{1,3,6,7}:{(374,1),(376,1),(379,1),(412,1)}
       399:{2,5,7}:{(375,1),(376,1),(378,1),(412,1)}
       400:{2,3,7}:{(377,1),(378,1),(380,1)}
       401:{2,4,6,7}:{(381,1),(383,1),(384,1),(413,1)}
       402:{2,4,5,6}:{(382,1),(386,1),(415,1),(416,1),(418,1)}
       403:{1,4,5,7}:{(382,1),(383,1),(387,1),(413,1),(416,1),(420,1)}
       404:{1,3,5,6,7}:{(384,1),(387,1),(390,1),(398,1),(413,1),(417,1),(425,1)}
       405:{2,4,5}:{(385,1),(391,1),(414,1),(418,1)}
       406:{2,3,5,6}:{(385,1),(386,1),(388,1),(392,1),(415,1),(418,1),(419,1)}
       407:{2,5,7}:{(386,1),(387,1),(389,1)}
       408:{2,3,6,7}:{(388,1),(389,1),(394,1),(400,1),(419,1),(425,1)}
       409:{1,4,6}:{(391,1),(392,1),(395,1),(418,1),(420,1)}
       410:{1,3,5,7}:{(392,1),(393,1),(394,1),(396,1),(419,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(397,1),(420,1)}
       412:{2,6,7}:{(398,1),(399,1)}
       413:{1,4,6,7}:{(401,1),(403,1),(404,1),(421,1)}
       414:{3,4,5}:{(405,1),(422,1)}
       415:{3,5,6}:{(402,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(402,1),(403,1),(407,1),(421,1),(423,1),(424,1)}
       417:{2,5,6,7}:{(404,1),(407,1),(412,1),(421,1)}
       418:{2,4,6}:{(405,1),(406,1),(409,1),(422,1),(424,1)}
       419:{2,3,5,7}:{(406,1),(407,1),(408,1),(410,1),(423,1),(424,1)}
       420:{1,4,7}:{(409,1),(410,1),(411,1),(424,1)}
       421:{2,4,6,7}:{(413,1),(416,1),(417,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(418,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(418,1),(419,1),(420,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2515 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(40,1),(41,1),(92,1),(165,1),(166,1),(236,1),(240,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(65,1),(129,1),(264,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(30,1),(64,1),(125,1),(137,1),(138,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(164,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(280,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(38,1),(87,1),(92,1),(96,1),(165,1),(223,1),(226,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(47,1),(103,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(94,1),(108,1),(109,1),(161,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(117,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(187,1),(254,1)}
        11:{1,3,4,5,6}:{(4,1),(24,1),(25,1),(29,1),(55,1),(68,1),(76,1),(113,1),(136,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(66,1),(71,1),(124,1),(131,1),(137,1),(138,1),(196,1),(203,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(4,1),(22,1),(28,1),(201,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(129,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(257,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(296,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(61,1),(73,1),(119,1),(122,1),(125,1),(137,1),(140,1),(256,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(127,1),(199,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(85,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(15,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(43,1),(49,1),(81,1),(98,1),(106,1),(146,1),(172,1),(215,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(43,1),(44,1),(99,1),(171,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(47,1),(97,1),(103,1),(237,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(41,1),(47,1),(48,1),(105,1),(160,1),(232,1),(236,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(38,1),(49,1),(165,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(103,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(279,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(154,1),(161,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(108,1),(163,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(57,1),(59,1),(61,1),(117,1),(119,1),(122,1),(187,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(30,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,4,5}:{(63,1),(64,1),(141,1),(195,1),(208,1),(247,1)}
        41:{2,3,5,7}:{(27,1),(65,1),(66,1),(131,1),(195,1),(259,1),(297,1)}
        42:{2,3,5,6}:{(25,1),(63,1),(67,1),(68,1),(76,1),(181,1)}
        43:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(69,1),(133,1),(207,1),(257,1)}
        44:{1,4,5,6}:{(25,1),(68,1),(69,1),(206,1),(296,1)}
        45:{1,2,5,6}:{(26,1),(31,1),(71,1),(72,1),(131,1),(204,1),(296,1)}
        46:{1,2,4,6,7}:{(26,1),(32,1),(71,1),(73,1),(130,1),(137,1),(189,1),(196,1),(256,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(65,1),(264,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(66,1),(74,1),(137,1),(198,1),(201,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(61,1),(75,1),(137,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(72,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(73,1),(77,1),(122,1),(199,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(299,1)}
        56:{2,3,4,5,7}:{(40,1),(83,1),(84,1),(92,1),(144,1),(176,1),(217,1),(240,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(144,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(43,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(51,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(40,1),(42,1),(92,1),(93,1),(107,1),(171,1),(216,1),(230,1)}
        64:{1,3,4,5}:{(40,1),(93,1),(94,1),(160,1),(239,1)}
        65:{2,3,6}:{(41,1),(47,1),(97,1),(306,1)}
        66:{2,4,7}:{(41,1),(48,1),(97,1),(231,1)}
        67:{2,3,5,7}:{(42,1),(43,1),(87,1),(92,1),(98,1),(106,1),(215,1)}
        68:{1,3,5,6}:{(42,1),(44,1),(93,1),(98,1),(99,1)}
        69:{1,4,5,7}:{(43,1),(44,1),(88,1),(98,1),(238,1),(279,1)}
        70:{1,2,4,5,6}:{(44,1),(45,1),(50,1),(99,1),(100,1),(101,1),(103,1),(147,1),(159,1),(166,1),(171,1),(212,1),(228,1),(237,1),(239,1),(269,1),(280,1),(282,1),(285,1),(301,1),(306,1),(313,1)}
        71:{1,2,5,7}:{(45,1),(46,1),(51,1),(102,1),(167,1),(279,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(52,1),(95,1),(102,1),(103,1),(105,1)}
        73:{1,3,6,7}:{(46,1),(47,1),(53,1),(96,1),(102,1),(232,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(97,1),(103,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(90,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(102,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(103,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(104,1),(108,1),(110,1),(157,1),(177,1),(226,1),(234,1),(284,1)}
        80:{2,3,5}:{(54,1),(105,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(64,1),(115,1),(116,1),(125,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(60,1),(117,1),(118,1),(119,1),(178,1),(187,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(187,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(69,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(71,1),(118,1),(120,1),(121,1),(189,1),(204,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(77,1),(121,1),(122,1),(123,1),(143,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(125,1),(140,1),(207,1),(246,1),(259,1)}
        93:{1,3,4,6}:{(63,1),(64,1),(68,1),(125,1),(126,1),(197,1),(206,1)}
        94:{2,4,5}:{(64,1),(126,1),(127,1)}
        95:{2,3,5,6}:{(65,1),(72,1),(128,1),(129,1),(131,1),(202,1),(204,1),(264,1)}
        96:{2,3,6,7}:{(65,1),(73,1),(128,1),(130,1),(259,1),(264,1)}
        97:{2,4,6}:{(65,1),(66,1),(74,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(69,1),(119,1),(125,1),(133,1)}
        99:{2,5,6}:{(68,1),(126,1),(133,1)}
       100:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(75,1),(120,1),(133,1),(135,1),(137,1),(180,1),(192,1),(196,1),(203,1),(207,1),(242,1),(257,1),(265,1),(288,1),(297,1),(309,1)}
       101:{1,3,5,6}:{(70,1),(76,1),(134,1),(135,1),(136,1),(181,1),(197,1),(202,1),(262,1),(264,1),(298,1),(308,1),(314,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(128,1),(137,1)}
       103:{1,4,6}:{(72,1),(78,1),(129,1),(137,1),(138,1)}
       104:{1,3,4,6,7}:{(73,1),(74,1),(79,1),(130,1),(137,1),(139,1),(201,1),(210,1),(256,1),(261,1),(264,1),(298,1)}
       105:{1,3,5}:{(74,1),(80,1),(131,1),(138,1),(202,1)}
       106:{3,5,7}:{(75,1),(76,1),(122,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(137,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(138,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(139,1),(142,1),(143,1),(193,1),(257,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(229,1),(280,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(149,1),(157,1),(226,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(94,1),(150,1),(151,1),(161,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(154,1),(213,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(100,1),(152,1),(154,1),(155,1),(156,1),(226,1),(237,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(102,1),(153,1),(155,1),(156,1),(175,1),(225,1),(227,1),(268,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(108,1),(156,1),(157,1),(158,1),(177,1),(300,1),(313,1)}
       124:{1,2,4,5}:{(94,1),(159,1),(160,1),(231,1),(239,1),(282,1)}
       125:{1,3,4,7}:{(92,1),(93,1),(98,1),(161,1),(232,1),(238,1)}
       126:{2,4,6}:{(93,1),(94,1),(99,1),(161,1),(162,1)}
       127:{2,3,5}:{(94,1),(160,1),(162,1),(163,1)}
       128:{2,3,5,7}:{(95,1),(96,1),(102,1),(165,1),(167,1),(236,1)}
       129:{2,4,6}:{(95,1),(103,1),(164,1),(165,1),(166,1)}
       130:{2,4,6,7}:{(96,1),(97,1),(104,1),(165,1),(167,1),(237,1),(281,1),(306,1)}
       131:{2,5}:{(97,1),(105,1)}
       132:{1,2,5,6}:{(99,1),(159,1),(168,1),(169,1),(282,1),(306,1)}
       133:{2,5,7}:{(98,1),(99,1),(154,1),(161,1)}
       134:{2,3,5,6}:{(99,1),(101,1),(162,1),(169,1),(170,1),(171,1),(230,1),(235,1),(280,1),(282,1),(284,1),(306,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(106,1),(155,1),(170,1),(172,1),(215,1),(232,1),(236,1),(312,1)}
       136:{1,3,4,6}:{(101,1),(103,1),(107,1),(164,1),(171,1),(172,1),(173,1),(216,1),(269,1),(299,1)}
       137:{1,4,7}:{(102,1),(103,1),(108,1),(165,1)}
       138:{1,4,5}:{(103,1),(105,1),(109,1),(166,1)}
       139:{1,3,5,7}:{(104,1),(105,1),(110,1),(167,1),(174,1),(175,1),(236,1),(279,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(174,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(175,1),(177,1),(229,1),(280,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(296,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(124,1),(182,1),(183,1),(196,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(297,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(125,1),(178,1),(184,1),(187,1),(246,1),(250,1),(256,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(127,1),(183,1),(185,1),(186,1),(199,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(121,1),(128,1),(187,1),(188,1),(190,1),(204,1),(244,1),(254,1),(257,1),(264,1),(295,1)}
       154:{2,6,7}:{(119,1),(133,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(135,1),(187,1),(190,1),(264,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(137,1),(188,1),(192,1),(210,1),(288,1),(310,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{1,2,4,6}:{(124,1),(126,1),(132,1),(196,1),(197,1),(206,1),(260,1)}
       160:{1,3,5}:{(124,1),(127,1),(195,1),(197,1),(198,1)}
       161:{2,4,7}:{(125,1),(126,1),(133,1),(199,1)}
       162:{2,3,6}:{(126,1),(127,1),(197,1),(199,1)}
       163:{2,3,4}:{(127,1),(198,1)}
       164:{3,4,6}:{(129,1),(201,1),(202,1),(264,1)}
       165:{2,4,7}:{(128,1),(129,1),(137,1),(201,1)}
       166:{2,4,5}:{(129,1),(131,1),(138,1),(202,1)}
       167:{2,5,7}:{(130,1),(131,1),(139,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(133,1),(189,1),(196,1),(205,1),(297,1)}
       169:{1,3,5,6}:{(132,1),(134,1),(197,1),(205,1),(206,1),(262,1),(296,1),(298,1)}
       170:{2,3,5,7}:{(133,1),(134,1),(135,1),(190,1),(199,1),(205,1),(207,1),(257,1),(259,1),(297,1)}
       171:{2,4,6}:{(134,1),(136,1),(206,1),(207,1),(208,1)}
       172:{1,3,4,7}:{(135,1),(136,1),(137,1),(140,1),(201,1),(207,1),(246,1),(288,1),(307,1)}
       173:{1,3,4,5}:{(136,1),(138,1),(141,1),(202,1),(208,1),(247,1),(262,1),(289,1),(308,1)}
       174:{1,4,5,7}:{(137,1),(138,1),(139,1),(142,1),(203,1),(210,1)}
       175:{1,3,5,6}:{(139,1),(143,1),(204,1),(210,1),(264,1),(296,1),(298,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(193,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(210,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(279,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(160,1),(217,1),(219,1),(220,1),(232,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(154,1),(161,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(163,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(156,1),(165,1),(223,1),(224,1),(237,1),(270,1),(303,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(170,1),(225,1),(226,1),(284,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(172,1),(223,1),(226,1),(227,1),(241,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(224,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{2,3,5}:{(160,1),(230,1),(231,1),(282,1)}
       196:{1,2,4,7}:{(159,1),(161,1),(168,1),(232,1),(238,1),(281,1)}
       197:{1,3,6}:{(159,1),(160,1),(162,1),(230,1),(232,1)}
       198:{1,3,4}:{(160,1),(163,1),(231,1)}
       199:{2,3,7}:{(161,1),(162,1),(232,1)}
       200:{2,3,4,6}:{(162,1),(163,1),(164,1),(171,1),(233,1),(234,1),(235,1),(284,1),(299,1)}
       201:{3,4,7}:{(164,1),(165,1),(236,1)}
       202:{3,5}:{(164,1),(166,1)}
       203:{2,4,5,7}:{(165,1),(166,1),(167,1),(174,1),(236,1),(237,1)}
       204:{2,5,6}:{(167,1),(175,1),(237,1),(306,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(170,1),(225,1),(232,1),(238,1),(279,1)}
       206:{1,4,6}:{(169,1),(171,1),(238,1),(239,1)}
       207:{2,4,7}:{(170,1),(171,1),(172,1),(238,1)}
       208:{2,4,5}:{(171,1),(173,1),(235,1),(239,1),(282,1)}
       209:{1,3,4,5,7}:{(172,1),(173,1),(174,1),(176,1),(227,1),(236,1),(240,1),(241,1),(272,1),(283,1),(302,1),(312,1)}
       210:{1,4,6}:{(174,1),(175,1),(177,1),(237,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(296,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(195,1),(248,1),(249,1),(259,1),(293,1),(297,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(189,1),(196,1),(242,1),(250,1),(256,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(198,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(199,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(201,1),(246,1),(254,1),(264,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(192,1),(254,1),(255,1),(257,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(207,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(254,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(210,1),(255,1),(258,1),(296,1),(310,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{2,3,6}:{(195,1),(197,1),(259,1),(260,1)}
       231:{2,4}:{(195,1),(198,1)}
       232:{1,3,7}:{(196,1),(197,1),(199,1),(259,1)}
       233:{1,3,4,6}:{(197,1),(198,1),(200,1),(206,1),(260,1),(261,1),(262,1),(298,1)}
       234:{2,3,4,7}:{(199,1),(200,1),(201,1),(207,1),(261,1),(263,1),(307,1)}
       235:{2,3,5}:{(200,1),(202,1),(208,1),(262,1),(308,1)}
       236:{3,5,7}:{(201,1),(202,1),(203,1),(264,1)}
       237:{2,4,6}:{(203,1),(204,1),(210,1),(264,1)}
       238:{1,4,7}:{(205,1),(206,1),(207,1)}
       239:{1,4,5}:{(206,1),(208,1),(262,1)}
       240:{2,4,5,7}:{(207,1),(208,1),(209,1),(257,1),(263,1),(265,1),(266,1),(297,1)}
       241:{1,3,4,6}:{(209,1),(210,1),(211,1),(258,1),(264,1),(266,1),(291,1),(298,1),(310,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(279,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(231,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(232,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(226,1),(234,1),(270,1),(275,1),(277,1),(284,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(228,1),(237,1),(278,1),(280,1),(303,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(241,1),(278,1),(280,1)}
       259:{2,3,7}:{(230,1),(232,1),(281,1)}
       260:{2,4,6}:{(230,1),(231,1),(233,1),(281,1),(282,1),(306,1)}
       261:{1,3,4,7}:{(232,1),(233,1),(234,1),(238,1),(281,1),(283,1)}
       262:{1,3,5}:{(233,1),(235,1),(239,1),(282,1)}
       263:{2,3,5,7}:{(234,1),(235,1),(236,1),(240,1),(283,1),(284,1),(312,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(240,1),(279,1),(283,1),(285,1)}
       266:{2,4,6}:{(240,1),(241,1),(280,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(259,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(256,1),(261,1),(288,1),(292,1),(294,1),(298,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(257,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(264,1),(291,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(261,1),(297,1)}
       282:{2,5}:{(260,1),(262,1)}
       283:{1,3,5,7}:{(261,1),(262,1),(263,1),(265,1),(297,1),(298,1)}
       284:{2,3,6}:{(263,1),(264,1),(266,1),(298,1),(314,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(281,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(279,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(280,1),(284,1),(303,1),(305,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(283,1),(306,1)}
       298:{1,3,6}:{(283,1),(284,1),(285,1),(306,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(296,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2516 :   0:{1,2,3,5,6}:{(1,1),(2,1),(9,1),(35,1),(43,1),(47,1),(50,1),(107,1),(114,1),(201,1),(206,1),(293,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(64,1),(67,1),(331,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(77,1),(163,1),(249,1),(330,1)}
         3:{1,3,4,6}:{(1,1),(8,1),(9,1),(10,1),(47,1),(104,1),(201,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(36,1),(206,1),(294,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(110,1),(364,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(47,1),(107,1),(121,1),(213,1),(292,1),(376,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(37,1),(54,1),(113,1),(228,1),(230,1),(313,1)}
         8:{2,3,4,6}:{(3,1),(19,1),(20,1),(21,1),(67,1),(78,1),(84,1),(139,1),(174,1),(235,1)}
         9:{1,3,5}:{(3,1),(4,1),(20,1)}
        10:{1,3,4,7}:{(3,1),(5,1),(21,1),(23,1),(249,1)}
        11:{1,2,4,5,6}:{(4,1),(22,1),(25,1),(26,1),(30,1),(61,1),(67,1),(90,1),(145,1),(153,1),(160,1),(162,1),(253,1),(272,1),(323,1),(331,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(68,1),(82,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(155,1),(159,1),(342,1),(403,1)}
        14:{2,4,5,6}:{(7,1),(29,1),(30,1),(31,1),(67,1),(90,1),(160,1)}
        15:{1,3,4,5,7}:{(7,1),(31,1),(32,1),(69,1),(91,1),(161,1),(273,1),(275,1),(348,1)}
        16:{1,3,4,5,6}:{(33,1),(34,1),(37,1),(99,1),(113,1),(285,1),(287,1),(358,1)}
        17:{1,3,4,5}:{(9,1),(36,1),(37,1),(294,1),(311,1),(356,1)}
        18:{1,2,3,6}:{(35,1),(39,1),(40,1),(201,1)}
        19:{1,3,4,6}:{(8,1),(39,1),(41,1),(42,1),(104,1),(108,1),(119,1),(201,1)}
        20:{2,3,5}:{(8,1),(9,1),(36,1),(41,1)}
        21:{2,3,4,7}:{(8,1),(10,1),(42,1),(44,1),(110,1),(222,1),(279,1)}
        22:{1,3,5,6}:{(9,1),(11,1),(37,1),(43,1),(46,1),(47,1),(201,1),(313,1),(358,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(12,1),(44,1),(47,1)}
        24:{1,3,4,6,7}:{(10,1),(13,1),(45,1),(47,1),(48,1),(125,1),(203,1),(292,1),(305,1),(364,1),(374,1),(377,1)}
        25:{1,2,4,5,7}:{(11,1),(46,1),(49,1),(56,1),(101,1),(110,1),(134,1),(196,1),(204,1),(210,1),(212,1),(295,1),(312,1),(357,1),(364,1)}
        26:{1,2,4,6}:{(12,1),(47,1),(50,1),(111,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(48,1),(50,1),(206,1),(210,1)}
        28:{2,3,4,5}:{(36,1),(51,1),(52,1),(188,1),(311,1)}
        29:{2,3,5,6}:{(14,1),(52,1),(54,1),(55,1),(313,1)}
        30:{1,4,5,6}:{(14,1),(54,1),(56,1),(108,1),(209,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(55,1),(56,1),(57,1),(110,1),(134,1),(210,1)}
        32:{1,3,4,6,7}:{(15,1),(57,1),(58,1),(135,1),(232,1),(233,1),(316,1)}
        33:{2,4,5,6}:{(16,1),(60,1),(61,1),(62,1),(67,1),(145,1),(160,1)}
        34:{1,3,4,5,7}:{(16,1),(62,1),(63,1),(69,1),(146,1),(161,1),(324,1),(326,1),(388,1)}
        35:{1,2,3,5}:{(18,1),(64,1),(71,1),(151,1)}
        36:{2,4,5}:{(17,1),(20,1),(66,1),(67,1)}
        37:{1,3,4,6}:{(17,1),(22,1),(67,1),(69,1),(331,1),(346,1),(386,1)}
        38:{1,3,4,5,7}:{(17,1),(23,1),(68,1),(69,1),(70,1),(82,1),(161,1),(172,1)}
        39:{1,2,4,6}:{(18,1),(19,1),(64,1),(71,1),(72,1),(164,1)}
        40:{1,2,3,7}:{(18,1),(72,1),(249,1)}
        41:{1,3,5}:{(19,1),(20,1),(66,1),(71,1)}
        42:{1,3,4,7}:{(19,1),(21,1),(72,1),(75,1),(157,1),(249,1)}
        43:{2,3,5,6}:{(20,1),(22,1),(67,1),(74,1),(77,1),(78,1),(90,1),(145,1),(160,1),(174,1),(235,1)}
        44:{2,3,5,7}:{(20,1),(21,1),(23,1),(68,1),(75,1),(78,1)}
        45:{2,3,4,6,7}:{(21,1),(24,1),(76,1),(78,1),(79,1),(159,1),(171,1),(176,1),(237,1),(263,1),(267,1),(268,1),(319,1),(340,1),(343,1),(345,1),(385,1)}
        46:{1,3,5,7}:{(22,1),(25,1),(69,1),(77,1),(80,1),(249,1),(348,1),(388,1)}
        47:{1,3,6}:{(23,1),(26,1),(78,1)}
        48:{1,3,5,7}:{(24,1),(27,1),(79,1),(81,1),(82,1),(251,1),(401,1)}
        49:{1,2,4,6,7}:{(25,1),(26,1),(80,1),(83,1),(93,1),(148,1),(159,1),(173,1),(183,1),(244,1),(276,1),(327,1)}
        50:{1,2,5,6}:{(26,1),(27,1),(81,1),(160,1),(403,1)}
        51:{1,3,4,5}:{(28,1),(66,1),(85,1),(86,1),(151,1)}
        52:{2,3,4,6}:{(28,1),(29,1),(67,1),(86,1),(88,1),(235,1),(346,1)}
        53:{2,3,4,5,7}:{(28,1),(68,1),(87,1),(88,1),(89,1),(172,1),(181,1),(236,1),(266,1),(321,1),(347,1),(385,1),(404,1)}
        54:{1,3,5,6}:{(29,1),(30,1),(86,1),(90,1),(91,1)}
        55:{2,3,5,7}:{(29,1),(31,1),(88,1),(91,1),(92,1),(348,1)}
        56:{1,4,5,7}:{(30,1),(31,1),(91,1),(93,1),(157,1),(256,1)}
        57:{2,4,6,7}:{(31,1),(32,1),(92,1),(93,1),(94,1),(183,1)}
        58:{1,3,5,6,7}:{(32,1),(94,1),(95,1),(161,1),(187,1)}
        59:{2,3,4,5}:{(36,1),(96,1),(97,1),(126,1),(356,1)}
        60:{2,3,5,6}:{(33,1),(97,1),(99,1),(100,1),(358,1)}
        61:{1,4,5,6}:{(33,1),(99,1),(101,1),(108,1),(209,1)}
        62:{2,4,5,7}:{(33,1),(34,1),(100,1),(101,1),(102,1),(110,1),(196,1),(210,1)}
        63:{1,3,4,6,7}:{(34,1),(102,1),(103,1),(197,1),(289,1),(290,1),(361,1)}
        64:{1,2,4}:{(35,1),(104,1)}
        65:{1,2,3,5,7}:{(35,1),(40,1),(106,1),(107,1),(115,1),(202,1),(206,1),(375,1),(376,1),(422,1)}
        66:{1,4,5}:{(36,1),(41,1),(108,1)}
        67:{2,4,6}:{(36,1),(37,1),(43,1),(108,1),(110,1)}
        68:{2,4,5,7}:{(36,1),(38,1),(44,1),(109,1),(110,1),(111,1),(210,1)}
        69:{1,3,4,7}:{(37,1),(46,1),(110,1),(364,1),(378,1),(410,1)}
        70:{1,3,4,6}:{(38,1),(47,1),(111,1),(113,1),(125,1),(221,1)}
        71:{1,2,5}:{(39,1),(41,1)}
        72:{1,2,4,7}:{(39,1),(40,1),(42,1),(115,1)}
        73:{1,2,3,6,7}:{(40,1),(107,1),(116,1),(117,1),(292,1),(303,1),(373,1),(423,1)}
        74:{1,3,5,6}:{(41,1),(43,1),(108,1),(114,1),(118,1),(119,1),(201,1),(209,1)}
        75:{1,3,5,7}:{(41,1),(42,1),(44,1),(109,1),(115,1),(119,1)}
        76:{1,3,4,6,7}:{(42,1),(45,1),(116,1),(119,1),(120,1),(203,1),(208,1),(216,1),(218,1),(292,1),(303,1),(364,1)}
        77:{2,3,5,7}:{(43,1),(46,1),(110,1),(118,1),(121,1),(134,1),(196,1),(210,1),(222,1),(279,1)}
        78:{2,3,6}:{(44,1),(47,1),(111,1),(119,1)}
        79:{2,3,5,7}:{(45,1),(48,1),(120,1),(122,1),(123,1),(210,1),(224,1),(281,1),(301,1),(371,1)}
        80:{1,3,6,7}:{(46,1),(47,1),(49,1),(121,1),(316,1),(361,1)}
        81:{1,3,5,6}:{(47,1),(48,1),(50,1),(122,1),(125,1),(372,1),(374,1)}
        82:{1,4,5,7}:{(48,1),(123,1),(125,1),(294,1),(364,1)}
        83:{1,2,5,6,7}:{(49,1),(50,1),(124,1),(137,1),(199,1),(210,1),(231,1),(288,1),(295,1),(423,1)}
        84:{2,3,4}:{(104,1),(126,1)}
        85:{2,4,5}:{(51,1),(126,1),(128,1)}
        86:{1,3,4,6}:{(51,1),(52,1),(54,1),(108,1),(128,1),(130,1),(201,1)}
        87:{1,3,4,5,7}:{(51,1),(53,1),(109,1),(129,1),(130,1),(131,1),(202,1),(227,1),(294,1),(308,1),(311,1),(364,1),(378,1),(380,1),(424,1)}
        88:{2,3,4,7}:{(52,1),(55,1),(110,1),(130,1),(279,1),(378,1)}
        89:{2,3,4,6}:{(53,1),(111,1),(131,1),(133,1),(221,1),(280,1),(307,1),(355,1)}
        90:{2,5,6}:{(54,1),(128,1),(134,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(56,1),(130,1),(134,1),(135,1)}
        92:{2,3,6,7}:{(55,1),(57,1),(135,1),(316,1)}
        93:{1,4,6,7}:{(56,1),(57,1),(135,1),(137,1)}
        94:{2,5,6,7}:{(57,1),(58,1),(137,1),(210,1)}
        95:{1,4,5,6,7}:{(58,1),(138,1),(212,1),(232,1),(318,1)}
        96:{1,3,4,5}:{(59,1),(66,1),(140,1),(141,1),(151,1)}
        97:{2,3,4,6}:{(59,1),(60,1),(67,1),(141,1),(143,1),(174,1),(386,1)}
        98:{2,3,4,5,7}:{(59,1),(68,1),(142,1),(143,1),(144,1),(172,1),(175,1),(242,1),(266,1),(270,1),(345,1),(387,1),(428,1)}
        99:{1,3,5,6}:{(60,1),(61,1),(141,1),(145,1),(146,1)}
       100:{2,3,5,7}:{(60,1),(62,1),(143,1),(146,1),(147,1),(388,1)}
       101:{1,4,5,7}:{(61,1),(62,1),(146,1),(148,1),(157,1),(256,1)}
       102:{2,4,6,7}:{(62,1),(63,1),(147,1),(148,1),(149,1),(244,1)}
       103:{1,3,5,6,7}:{(63,1),(149,1),(150,1),(161,1),(248,1)}
       104:{1,3,4}:{(64,1),(84,1),(139,1),(151,1)}
       105:{1,2,4,5}:{(64,1),(66,1),(71,1),(85,1),(140,1),(151,1),(153,1)}
       106:{1,2,4,7}:{(64,1),(65,1),(152,1),(155,1),(438,1)}
       107:{1,2,3,6}:{(65,1),(155,1),(164,1),(250,1),(403,1)}
       108:{1,4,6}:{(66,1),(67,1),(74,1),(157,1)}
       109:{1,4,5,7}:{(66,1),(68,1),(75,1),(157,1),(158,1),(256,1)}
       110:{2,4,7}:{(67,1),(69,1),(77,1),(157,1)}
       111:{2,4,6}:{(68,1),(70,1),(78,1),(158,1),(160,1)}
       112:{1,3,4,6,7}:{(69,1),(70,1),(80,1),(159,1),(161,1),(173,1),(267,1)}
       113:{1,3,5,6}:{(70,1),(160,1),(161,1),(162,1),(259,1)}
       114:{1,2,5,6}:{(71,1),(74,1),(90,1),(145,1),(153,1),(163,1),(164,1)}
       115:{1,2,5,7}:{(71,1),(72,1),(75,1),(164,1)}
       116:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(155,1),(164,1),(165,1),(166,1),(261,1),(343,1)}
       117:{1,2,3,5,7}:{(73,1),(156,1),(165,1),(166,1),(262,1),(330,1),(397,1),(437,1),(453,1)}
       118:{1,3,5,7}:{(74,1),(77,1),(157,1),(163,1),(167,1),(249,1),(256,1)}
       119:{1,3,6}:{(75,1),(78,1),(158,1),(164,1)}
       120:{1,3,5,7}:{(76,1),(79,1),(165,1),(168,1),(169,1),(251,1),(256,1)}
       121:{2,3,6,7}:{(77,1),(78,1),(80,1),(159,1),(167,1),(183,1),(244,1)}
       122:{2,3,5,6}:{(78,1),(79,1),(81,1),(160,1),(168,1),(171,1),(259,1),(338,1),(340,1)}
       123:{2,4,5,7}:{(79,1),(82,1),(169,1),(171,1),(172,1),(270,1),(321,1),(345,1),(385,1)}
       124:{1,3,5,6,7}:{(80,1),(81,1),(83,1),(161,1),(170,1),(173,1),(330,1),(401,1),(402,1)}
       125:{1,4,6}:{(81,1),(82,1),(171,1)}
       126:{2,3,5}:{(84,1),(85,1),(151,1),(174,1)}
       127:{2,3,4,7}:{(84,1),(152,1),(175,1),(176,1),(345,1),(441,1)}
       128:{2,4,6}:{(85,1),(86,1),(90,1),(174,1),(177,1)}
       129:{2,4,5,7}:{(85,1),(87,1),(175,1),(177,1),(178,1),(270,1),(271,1),(345,1),(406,1),(439,1)}
       130:{1,3,4,7}:{(86,1),(88,1),(91,1),(157,1),(177,1),(249,1)}
       131:{1,3,4,6}:{(87,1),(89,1),(158,1),(178,1),(180,1),(250,1),(331,1),(344,1),(346,1)}
       132:{2,3,4,6,7}:{(88,1),(89,1),(92,1),(159,1),(179,1),(181,1),(185,1),(267,1),(319,1),(343,1),(352,1),(385,1),(404,1)}
       133:{2,3,5,6}:{(89,1),(160,1),(180,1),(181,1),(182,1),(259,1),(338,1)}
       134:{2,5,7}:{(90,1),(91,1),(177,1),(183,1)}
       135:{1,3,6,7}:{(91,1),(92,1),(93,1),(183,1)}
       136:{2,3,5,6,7}:{(92,1),(94,1),(181,1),(184,1),(185,1),(187,1),(278,1),(352,1)}
       137:{1,5,6,7}:{(93,1),(94,1),(256,1)}
       138:{2,4,5,6,7}:{(94,1),(95,1),(185,1),(186,1),(187,1),(258,1),(276,1),(278,1)}
       139:{2,3,4}:{(104,1),(188,1)}
       140:{2,4,5}:{(96,1),(188,1),(190,1)}
       141:{1,3,4,6}:{(96,1),(97,1),(99,1),(108,1),(190,1),(192,1),(201,1)}
       142:{1,3,4,5,7}:{(96,1),(98,1),(109,1),(191,1),(192,1),(193,1),(202,1),(284,1),(294,1),(308,1),(356,1),(364,1),(410,1),(412,1),(442,1)}
       143:{2,3,4,7}:{(97,1),(100,1),(110,1),(192,1),(222,1),(410,1)}
       144:{2,3,4,6}:{(98,1),(111,1),(193,1),(195,1),(221,1),(223,1),(307,1),(310,1)}
       145:{2,5,6}:{(99,1),(190,1),(196,1)}
       146:{1,3,5,7}:{(99,1),(100,1),(101,1),(192,1),(196,1),(197,1)}
       147:{2,3,6,7}:{(100,1),(102,1),(197,1),(361,1)}
       148:{1,4,6,7}:{(101,1),(102,1),(197,1),(199,1)}
       149:{2,5,6,7}:{(102,1),(103,1),(199,1),(210,1)}
       150:{1,4,5,6,7}:{(103,1),(200,1),(212,1),(289,1),(363,1)}
       151:{1,3,5}:{(104,1),(105,1),(126,1),(188,1),(201,1)}
       152:{1,3,4,7}:{(104,1),(106,1),(127,1),(189,1),(202,1),(203,1),(364,1),(448,1)}
       153:{1,2,4,6}:{(105,1),(108,1),(114,1),(128,1),(190,1),(201,1),(204,1)}
       154:{1,2,4,5,7}:{(105,1),(106,1),(109,1),(115,1),(129,1),(191,1),(202,1),(204,1),(205,1),(206,1),(294,1),(295,1),(308,1),(364,1),(375,1),(419,1),(446,1)}
       155:{1,2,4,6}:{(106,1),(107,1),(203,1),(206,1)}
       156:{1,2,3,5,6}:{(107,1),(117,1),(206,1),(207,1),(214,1),(293,1),(297,1),(303,1),(368,1),(421,1),(422,1),(447,1)}
       157:{1,4,7}:{(108,1),(110,1),(118,1)}
       158:{1,4,6}:{(109,1),(111,1),(119,1),(209,1)}
       159:{2,4,6,7}:{(110,1),(111,1),(112,1),(121,1),(208,1),(210,1)}
       160:{2,5,6}:{(111,1),(113,1),(209,1),(210,1)}
       161:{1,3,5,7}:{(112,1),(113,1),(210,1),(212,1),(301,1)}
       162:{1,4,5,6}:{(113,1),(125,1),(211,1),(212,1),(372,1)}
       163:{1,2,5,7}:{(114,1),(118,1),(134,1),(196,1),(204,1),(213,1)}
       164:{1,2,6}:{(115,1),(119,1)}
       165:{1,2,5,7}:{(116,1),(120,1),(206,1),(214,1),(371,1)}
       166:{1,2,4,7}:{(117,1),(207,1),(216,1),(364,1),(417,1)}
       167:{1,3,6,7}:{(118,1),(119,1),(121,1),(208,1),(213,1)}
       168:{1,3,5,6}:{(119,1),(120,1),(122,1),(209,1),(214,1),(218,1),(303,1)}
       169:{1,4,5,7}:{(120,1),(123,1),(218,1),(294,1),(364,1)}
       170:{2,3,5,6,7}:{(121,1),(122,1),(124,1),(210,1),(217,1),(220,1),(231,1),(288,1),(301,1),(309,1),(316,1),(354,1),(361,1),(371,1),(373,1)}
       171:{2,4,6}:{(122,1),(123,1),(125,1),(218,1),(221,1)}
       172:{3,4,5,7}:{(123,1),(221,1),(301,1),(311,1),(356,1),(378,1),(410,1)}
       173:{1,4,6,7}:{(124,1),(125,1),(212,1),(220,1),(364,1)}
       174:{2,3,6}:{(126,1),(128,1),(201,1),(222,1)}
       175:{2,3,5,7}:{(126,1),(127,1),(129,1),(202,1),(222,1),(223,1),(224,1),(426,1),(449,1)}
       176:{2,3,4,6}:{(127,1),(203,1),(223,1),(224,1),(310,1)}
       177:{2,4,7}:{(128,1),(130,1),(134,1),(222,1)}
       178:{2,4,6}:{(129,1),(131,1),(223,1),(226,1)}
       179:{1,3,4,6,7}:{(130,1),(131,1),(132,1),(135,1),(208,1),(225,1),(227,1),(232,1),(292,1),(316,1),(364,1),(377,1),(378,1),(384,1),(424,1)}
       180:{1,3,5,6}:{(131,1),(133,1),(209,1),(226,1),(227,1),(228,1),(313,1),(372,1)}
       181:{2,3,5,7}:{(132,1),(133,1),(210,1),(227,1),(229,1),(301,1),(371,1)}
       182:{2,4,5,6}:{(133,1),(228,1),(229,1),(230,1),(355,1)}
       183:{2,6,7}:{(134,1),(135,1)}
       184:{1,3,5,6,7}:{(135,1),(136,1),(137,1),(227,1),(231,1),(232,1),(316,1),(318,1),(384,1)}
       185:{2,4,6,7}:{(136,1),(229,1),(232,1),(233,1)}
       186:{1,4,5,6,7}:{(137,1),(138,1),(232,1),(234,1),(299,1)}
       187:{3,5,6,7}:{(138,1),(233,1),(301,1),(316,1)}
       188:{2,3,5}:{(139,1),(140,1),(151,1),(235,1)}
       189:{2,3,4,7}:{(139,1),(152,1),(236,1),(237,1),(385,1),(452,1)}
       190:{2,4,6}:{(140,1),(141,1),(145,1),(235,1),(238,1)}
       191:{2,4,5,7}:{(140,1),(142,1),(236,1),(238,1),(239,1),(321,1),(322,1),(385,1),(430,1),(450,1)}
       192:{1,3,4,7}:{(141,1),(143,1),(146,1),(157,1),(238,1),(249,1)}
       193:{1,3,4,6}:{(142,1),(144,1),(158,1),(239,1),(241,1),(250,1),(331,1),(344,1),(386,1)}
       194:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(159,1),(240,1),(242,1),(246,1),(267,1),(268,1),(343,1),(345,1),(392,1),(428,1)}
       195:{2,3,5,6}:{(144,1),(160,1),(241,1),(242,1),(243,1),(259,1),(338,1)}
       196:{2,5,7}:{(145,1),(146,1),(238,1),(244,1)}
       197:{1,3,6,7}:{(146,1),(147,1),(148,1),(244,1)}
       198:{2,3,5,6,7}:{(147,1),(149,1),(242,1),(245,1),(246,1),(248,1),(329,1),(392,1)}
       199:{1,5,6,7}:{(148,1),(149,1),(256,1)}
       200:{2,4,5,6,7}:{(149,1),(150,1),(246,1),(247,1),(248,1),(258,1),(327,1),(329,1)}
       201:{1,3,6}:{(151,1),(153,1),(174,1),(235,1),(249,1)}
       202:{1,3,5,7}:{(151,1),(152,1),(154,1),(175,1),(236,1),(249,1),(250,1),(251,1),(436,1),(453,1)}
       203:{1,3,4,6}:{(152,1),(155,1),(176,1),(237,1),(250,1),(251,1),(331,1)}
       204:{1,2,4,7}:{(153,1),(157,1),(163,1),(177,1),(238,1),(249,1)}
       205:{1,2,4,6}:{(154,1),(158,1),(164,1),(178,1),(239,1),(250,1),(253,1),(331,1),(344,1),(403,1)}
       206:{1,2,5}:{(155,1),(251,1)}
       207:{1,2,4,6}:{(156,1),(166,1),(254,1),(255,1),(331,1),(395,1),(438,1)}
       208:{1,4,6,7}:{(157,1),(158,1),(159,1),(167,1),(256,1)}
       209:{1,5,6}:{(158,1),(160,1),(256,1)}
       210:{2,5,7}:{(159,1),(160,1),(161,1),(256,1)}
       211:{2,4,5,6}:{(160,1),(162,1),(171,1),(257,1),(258,1),(259,1),(338,1)}
       212:{1,4,5,7}:{(161,1),(162,1),(173,1),(258,1),(401,1)}
       213:{1,2,6,7}:{(163,1),(164,1),(167,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(164,1),(165,1),(168,1),(261,1),(338,1)}
       215:{1,2,4,5,7}:{(165,1),(166,1),(169,1),(254,1),(261,1),(262,1),(266,1)}
       216:{1,3,4,7}:{(166,1),(255,1),(262,1),(263,1),(453,1)}
       217:{1,3,5,6,7}:{(167,1),(168,1),(170,1),(256,1),(260,1),(264,1),(330,1),(337,1),(339,1)}
       218:{1,4,6}:{(168,1),(169,1),(171,1)}
       219:{1,3,4,5,7}:{(169,1),(172,1),(262,1),(265,1),(266,1),(332,1),(337,1),(394,1)}
       220:{2,4,6,7}:{(170,1),(171,1),(173,1),(258,1),(264,1),(267,1),(345,1),(385,1)}
       221:{3,4,6}:{(171,1),(172,1),(259,1)}
       222:{2,3,7}:{(174,1),(177,1),(249,1)}
       223:{2,3,6}:{(175,1),(178,1),(250,1)}
       224:{2,3,5}:{(176,1),(251,1),(270,1)}
       225:{2,4,6,7}:{(177,1),(178,1),(179,1),(183,1),(268,1),(271,1),(345,1),(409,1),(439,1)}
       226:{2,5,6}:{(178,1),(180,1),(271,1)}
       227:{1,3,5,7}:{(179,1),(180,1),(181,1),(256,1),(271,1),(273,1),(348,1),(401,1)}
       228:{1,4,5,6}:{(180,1),(182,1),(272,1),(273,1),(331,1)}
       229:{2,4,5,7}:{(181,1),(182,1),(185,1),(273,1),(275,1),(385,1)}
       230:{3,4,5,6}:{(182,1),(259,1),(275,1),(386,1)}
       231:{2,5,6,7}:{(183,1),(184,1),(271,1),(276,1),(409,1)}
       232:{1,4,6,7}:{(184,1),(185,1),(273,1),(276,1)}
       233:{3,4,6,7}:{(185,1),(187,1),(275,1)}
       234:{1,3,5,6,7}:{(186,1),(187,1),(277,1),(278,1),(337,1)}
       235:{2,3,6}:{(188,1),(190,1),(201,1),(279,1)}
       236:{2,3,5,7}:{(188,1),(189,1),(191,1),(202,1),(279,1),(280,1),(281,1),(444,1),(454,1)}
       237:{2,3,4,6}:{(189,1),(203,1),(280,1),(281,1),(355,1)}
       238:{2,4,7}:{(190,1),(192,1),(196,1),(279,1)}
       239:{2,4,6}:{(191,1),(193,1),(280,1),(283,1)}
       240:{1,3,4,6,7}:{(192,1),(193,1),(194,1),(197,1),(208,1),(282,1),(284,1),(289,1),(292,1),(361,1),(364,1),(377,1),(410,1),(416,1),(442,1)}
       241:{1,3,5,6}:{(193,1),(195,1),(209,1),(283,1),(284,1),(285,1),(358,1),(372,1)}
       242:{2,3,5,7}:{(194,1),(195,1),(210,1),(284,1),(286,1),(301,1),(371,1)}
       243:{2,4,5,6}:{(195,1),(285,1),(286,1),(287,1),(310,1)}
       244:{2,6,7}:{(196,1),(197,1)}
       245:{1,3,5,6,7}:{(197,1),(198,1),(199,1),(284,1),(288,1),(289,1),(361,1),(363,1),(416,1)}
       246:{2,4,6,7}:{(198,1),(286,1),(289,1),(290,1)}
       247:{1,4,5,6,7}:{(199,1),(200,1),(289,1),(291,1),(299,1)}
       248:{3,5,6,7}:{(200,1),(290,1),(301,1),(361,1)}
       249:{1,3,7}:{(201,1),(204,1),(222,1),(279,1)}
       250:{1,3,6}:{(202,1),(205,1),(223,1),(280,1)}
       251:{1,3,5}:{(203,1),(206,1),(224,1),(281,1),(294,1)}
       252:{1,2,4,6,7}:{(204,1),(205,1),(208,1),(213,1),(225,1),(282,1),(292,1),(295,1),(364,1),(377,1),(423,1),(446,1)}
       253:{1,2,5,6}:{(205,1),(206,1),(209,1),(226,1),(283,1),(293,1),(295,1),(372,1)}
       254:{1,2,4,5}:{(206,1),(207,1),(294,1),(297,1),(366,1)}
       255:{1,3,4,6}:{(207,1),(216,1),(297,1),(298,1),(303,1),(447,1),(448,1)}
       256:{1,5,7}:{(208,1),(209,1),(210,1)}
       257:{1,4,5,6}:{(209,1),(211,1),(218,1),(299,1),(300,1)}
       258:{2,4,5,7}:{(210,1),(211,1),(212,1),(220,1),(299,1),(301,1),(371,1)}
       259:{3,5,6}:{(211,1),(221,1),(301,1)}
       260:{1,2,5,6,7}:{(213,1),(214,1),(217,1),(231,1),(288,1),(295,1),(302,1),(318,1),(363,1),(371,1)}
       261:{1,2,4,6}:{(214,1),(215,1),(218,1),(303,1),(307,1)}
       262:{1,3,5,7}:{(215,1),(216,1),(297,1),(303,1),(304,1)}
       263:{2,3,4,7}:{(216,1),(298,1),(304,1),(305,1),(417,1),(449,1),(454,1)}
       264:{1,4,6,7}:{(217,1),(218,1),(220,1),(299,1),(364,1)}
       265:{1,3,4,6}:{(218,1),(219,1),(221,1),(300,1),(303,1),(307,1)}
       266:{2,4,5,7}:{(219,1),(304,1),(307,1),(308,1),(366,1),(371,1),(417,1)}
       267:{3,4,6,7}:{(220,1),(221,1),(301,1),(316,1),(361,1),(378,1),(410,1)}
       268:{2,3,6,7}:{(222,1),(223,1),(225,1),(292,1),(309,1),(316,1),(449,1)}
       269:{2,3,5,6}:{(223,1),(224,1),(226,1),(293,1),(309,1),(310,1),(313,1)}
       270:{2,4,5}:{(224,1),(294,1),(310,1),(311,1)}
       271:{2,5,7}:{(225,1),(226,1),(227,1)}
       272:{2,4,5,6}:{(226,1),(228,1),(310,1),(312,1),(313,1)}
       273:{1,4,5,7}:{(227,1),(228,1),(229,1),(232,1),(312,1),(364,1)}
       274:{1,3,4,5,6}:{(228,1),(230,1),(300,1),(313,1),(314,1),(315,1),(365,1),(382,1)}
       275:{3,4,5,7}:{(229,1),(230,1),(233,1),(301,1),(410,1)}
       276:{2,4,6,7}:{(231,1),(232,1),(312,1),(316,1)}
       277:{1,3,4,6,7}:{(232,1),(233,1),(234,1),(314,1),(316,1),(317,1),(384,1)}
       278:{2,5,6,7}:{(234,1),(317,1),(318,1),(371,1)}
       279:{2,3,7}:{(235,1),(238,1),(249,1)}
       280:{2,3,6}:{(236,1),(239,1),(250,1)}
       281:{2,3,5}:{(237,1),(251,1),(321,1)}
       282:{2,4,6,7}:{(238,1),(239,1),(240,1),(244,1),(319,1),(322,1),(385,1),(433,1),(450,1)}
       283:{2,5,6}:{(239,1),(241,1),(322,1)}
       284:{1,3,5,7}:{(240,1),(241,1),(242,1),(256,1),(322,1),(324,1),(388,1),(401,1)}
       285:{1,4,5,6}:{(241,1),(243,1),(323,1),(324,1),(331,1)}
       286:{2,4,5,7}:{(242,1),(243,1),(246,1),(324,1),(326,1),(345,1)}
       287:{3,4,5,6}:{(243,1),(259,1),(326,1),(346,1)}
       288:{2,5,6,7}:{(244,1),(245,1),(322,1),(327,1),(433,1)}
       289:{1,4,6,7}:{(245,1),(246,1),(324,1),(327,1)}
       290:{3,4,6,7}:{(246,1),(248,1),(326,1)}
       291:{1,3,5,6,7}:{(247,1),(248,1),(328,1),(329,1),(337,1)}
       292:{1,3,6,7}:{(249,1),(250,1),(252,1),(268,1),(319,1),(330,1),(453,1)}
       293:{1,3,5,6}:{(250,1),(251,1),(253,1),(269,1),(320,1),(330,1),(331,1)}
       294:{1,4,5}:{(251,1),(270,1),(321,1),(331,1)}
       295:{1,2,5,7}:{(252,1),(253,1),(256,1),(271,1),(322,1),(330,1),(401,1)}
       296:{1,2,4,5,6}:{(253,1),(254,1),(257,1),(261,1),(272,1),(323,1),(331,1),(333,1),(334,1),(338,1),(351,1),(391,1),(395,1),(408,1),(432,1),(435,1)}
       297:{1,3,5}:{(254,1),(255,1),(335,1)}
       298:{2,3,4,6}:{(255,1),(263,1),(335,1),(336,1),(340,1),(395,1),(440,1),(441,1),(451,1),(452,1)}
       299:{1,4,5,7}:{(256,1),(257,1),(258,1),(264,1),(337,1)}
       300:{1,3,5,6}:{(257,1),(259,1),(265,1),(337,1),(338,1)}
       301:{3,5,7}:{(258,1),(259,1),(267,1)}
       302:{1,2,4,6,7}:{(260,1),(261,1),(264,1),(276,1),(327,1),(333,1),(339,1),(343,1),(353,1),(393,1),(409,1),(433,1)}
       303:{1,3,6}:{(261,1),(262,1),(340,1)}
       304:{2,3,5,7}:{(262,1),(263,1),(266,1),(335,1),(340,1),(341,1)}
       305:{1,3,4,7}:{(263,1),(336,1),(341,1),(342,1),(434,1),(453,1)}
       306:{1,3,4,6,7}:{(264,1),(265,1),(267,1),(337,1),(339,1),(343,1),(394,1)}
       307:{2,4,6}:{(265,1),(266,1),(338,1),(340,1),(344,1)}
       308:{1,4,5,7}:{(266,1),(341,1),(344,1),(396,1),(401,1),(434,1)}
       309:{2,3,5,7}:{(268,1),(269,1),(271,1),(330,1),(345,1),(348,1)}
       310:{2,4,6}:{(269,1),(270,1),(331,1),(345,1),(346,1)}
       311:{3,4,5}:{(270,1),(346,1)}
       312:{2,4,5,7}:{(271,1),(272,1),(273,1),(276,1),(345,1),(348,1)}
       313:{3,5,6}:{(272,1),(346,1),(348,1)}
       314:{1,3,4,5,7}:{(273,1),(274,1),(275,1),(277,1),(337,1),(348,1),(350,1),(394,1),(407,1)}
       315:{2,4,5,6}:{(274,1),(338,1),(349,1),(350,1),(351,1),(395,1),(408,1)}
       316:{3,6,7}:{(276,1),(348,1)}
       317:{2,4,6,7}:{(277,1),(278,1),(350,1),(352,1),(353,1),(409,1)}
       318:{1,5,6,7}:{(278,1),(353,1),(401,1)}
       319:{2,3,6,7}:{(279,1),(280,1),(282,1),(292,1),(354,1),(361,1),(454,1)}
       320:{2,3,5,6}:{(280,1),(281,1),(283,1),(293,1),(354,1),(355,1),(358,1)}
       321:{2,4,5}:{(281,1),(294,1),(355,1),(356,1)}
       322:{2,5,7}:{(282,1),(283,1),(284,1)}
       323:{2,4,5,6}:{(283,1),(285,1),(355,1),(357,1),(358,1)}
       324:{1,4,5,7}:{(284,1),(285,1),(286,1),(289,1),(357,1),(364,1)}
       325:{1,3,4,5,6}:{(285,1),(287,1),(300,1),(358,1),(359,1),(360,1),(365,1),(414,1)}
       326:{3,4,5,7}:{(286,1),(287,1),(290,1),(301,1),(378,1)}
       327:{2,4,6,7}:{(288,1),(289,1),(357,1),(361,1)}
       328:{1,3,4,6,7}:{(289,1),(290,1),(291,1),(359,1),(361,1),(362,1),(416,1)}
       329:{2,5,6,7}:{(291,1),(362,1),(363,1),(371,1)}
       330:{1,3,5,7}:{(292,1),(293,1),(295,1),(309,1),(354,1),(364,1)}
       331:{1,4,6}:{(293,1),(294,1),(310,1),(355,1),(364,1)}
       332:{1,3,4,5}:{(294,1),(297,1),(311,1),(356,1),(365,1),(366,1)}
       333:{1,2,4,5,7}:{(295,1),(296,1),(299,1),(302,1),(312,1),(357,1),(364,1),(367,1),(371,1),(383,1),(415,1),(417,1),(427,1),(445,1),(446,1)}
       334:{1,3,5,6}:{(296,1),(297,1),(303,1),(313,1),(358,1),(365,1),(367,1),(368,1),(447,1)}
       335:{2,3,5}:{(297,1),(298,1),(366,1),(369,1)}
       336:{1,3,4,6}:{(298,1),(305,1),(369,1),(370,1),(374,1),(418,1),(447,1),(448,1)}
       337:{1,3,5,7}:{(299,1),(300,1),(301,1),(306,1),(371,1)}
       338:{2,5,6}:{(300,1),(307,1),(371,1),(372,1)}
       339:{1,3,6,7}:{(302,1),(303,1),(316,1),(361,1),(367,1),(373,1)}
       340:{2,3,6}:{(303,1),(304,1),(307,1),(374,1)}
       341:{1,3,5,7}:{(304,1),(305,1),(308,1),(369,1),(374,1),(375,1)}
       342:{1,2,4,7}:{(305,1),(370,1),(375,1),(376,1)}
       343:{2,4,6,7}:{(306,1),(307,1),(371,1),(373,1),(377,1),(417,1)}
       344:{1,4,6}:{(307,1),(308,1),(372,1),(374,1)}
       345:{2,4,7}:{(309,1),(310,1),(364,1),(378,1)}
       346:{3,4,6}:{(310,1),(311,1),(313,1),(378,1)}
       347:{2,3,4,5}:{(311,1),(366,1),(379,1),(380,1),(444,1)}
       348:{3,5,7}:{(312,1),(313,1),(316,1),(378,1)}
       349:{2,3,5,6}:{(313,1),(315,1),(379,1),(381,1),(382,1)}
       350:{2,4,5,7}:{(314,1),(315,1),(317,1),(371,1),(381,1),(383,1),(417,1),(427,1)}
       351:{1,4,5,6}:{(315,1),(372,1),(382,1),(383,1),(418,1)}
       352:{2,3,6,7}:{(316,1),(317,1),(381,1),(384,1)}
       353:{1,4,6,7}:{(317,1),(318,1),(383,1),(384,1)}
       354:{2,3,5,7}:{(319,1),(320,1),(322,1),(330,1),(385,1),(388,1)}
       355:{2,4,6}:{(320,1),(321,1),(331,1),(385,1),(386,1)}
       356:{3,4,5}:{(321,1),(386,1)}
       357:{2,4,5,7}:{(322,1),(323,1),(324,1),(327,1),(385,1),(388,1)}
       358:{3,5,6}:{(323,1),(386,1),(388,1)}
       359:{1,3,4,5,7}:{(324,1),(325,1),(326,1),(328,1),(337,1),(388,1),(390,1),(394,1),(431,1)}
       360:{2,4,5,6}:{(325,1),(338,1),(389,1),(390,1),(391,1),(395,1),(432,1)}
       361:{3,6,7}:{(327,1),(388,1)}
       362:{2,4,6,7}:{(328,1),(329,1),(390,1),(392,1),(393,1),(433,1)}
       363:{1,5,6,7}:{(329,1),(393,1),(401,1)}
       364:{1,4,7}:{(330,1),(331,1),(345,1),(385,1)}
       365:{1,3,4,6}:{(331,1),(332,1),(334,1),(346,1),(386,1),(394,1),(395,1)}
       366:{2,4,5}:{(332,1),(335,1),(395,1),(396,1)}
       367:{1,3,5,7}:{(333,1),(334,1),(339,1),(348,1),(388,1),(394,1),(397,1),(453,1)}
       368:{2,3,5,6}:{(334,1),(335,1),(338,1),(340,1),(395,1),(397,1),(398,1),(408,1),(432,1),(440,1),(451,1)}
       369:{1,3,5}:{(335,1),(336,1),(396,1),(399,1)}
       370:{1,2,4,6}:{(336,1),(342,1),(399,1),(400,1),(403,1),(438,1)}
       371:{2,5,7}:{(337,1),(338,1),(343,1),(401,1)}
       372:{1,5,6}:{(338,1),(344,1),(401,1)}
       373:{2,3,6,7}:{(339,1),(340,1),(343,1),(397,1),(402,1),(409,1),(433,1)}
       374:{1,3,6}:{(340,1),(341,1),(344,1),(403,1)}
       375:{1,2,5,7}:{(341,1),(342,1),(399,1),(403,1)}
       376:{1,2,3,7}:{(342,1),(400,1),(453,1)}
       377:{1,4,6,7}:{(343,1),(344,1),(401,1),(402,1),(434,1)}
       378:{3,4,7}:{(345,1),(346,1),(348,1)}
       379:{2,3,4,6}:{(346,1),(347,1),(349,1),(395,1),(404,1),(405,1),(451,1)}
       380:{1,3,4,5}:{(347,1),(396,1),(405,1),(406,1),(436,1)}
       381:{2,3,5,7}:{(348,1),(349,1),(350,1),(352,1),(404,1),(407,1)}
       382:{1,3,5,6}:{(349,1),(351,1),(405,1),(407,1),(408,1)}
       383:{1,4,5,7}:{(350,1),(351,1),(353,1),(401,1),(407,1),(434,1)}
       384:{1,3,6,7}:{(352,1),(353,1),(407,1),(409,1)}
       385:{2,4,7}:{(354,1),(355,1),(364,1),(410,1)}
       386:{3,4,6}:{(355,1),(356,1),(358,1),(410,1)}
       387:{2,3,4,5}:{(356,1),(366,1),(411,1),(412,1),(426,1)}
       388:{3,5,7}:{(357,1),(358,1),(361,1),(410,1)}
       389:{2,3,5,6}:{(358,1),(360,1),(411,1),(413,1),(414,1)}
       390:{2,4,5,7}:{(359,1),(360,1),(362,1),(371,1),(413,1),(415,1),(417,1),(445,1)}
       391:{1,4,5,6}:{(360,1),(372,1),(414,1),(415,1),(418,1)}
       392:{2,3,6,7}:{(361,1),(362,1),(413,1),(416,1)}
       393:{1,4,6,7}:{(362,1),(363,1),(415,1),(416,1)}
       394:{1,3,4,7}:{(364,1),(365,1),(367,1),(378,1),(410,1),(417,1)}
       395:{2,4,6}:{(365,1),(366,1),(368,1),(417,1),(418,1)}
       396:{1,4,5}:{(366,1),(369,1),(418,1)}
       397:{2,3,5,7}:{(367,1),(368,1),(371,1),(373,1),(417,1),(420,1),(427,1),(445,1),(449,1),(454,1)}
       398:{1,3,5,6}:{(368,1),(369,1),(372,1),(374,1),(418,1),(420,1),(421,1),(447,1)}
       399:{1,2,5}:{(369,1),(370,1)}
       400:{1,2,3,6}:{(370,1),(376,1),(422,1),(447,1)}
       401:{1,5,7}:{(371,1),(372,1),(377,1)}
       402:{1,3,6,7}:{(373,1),(374,1),(377,1),(420,1),(423,1)}
       403:{1,2,6}:{(374,1),(375,1)}
       404:{2,3,4,7}:{(378,1),(379,1),(381,1),(417,1),(424,1),(454,1)}
       405:{1,3,4,6}:{(379,1),(380,1),(382,1),(418,1),(424,1),(425,1),(447,1)}
       406:{2,4,5}:{(380,1),(425,1),(426,1)}
       407:{1,3,5,7}:{(381,1),(382,1),(383,1),(384,1),(424,1),(427,1)}
       408:{2,5,6}:{(382,1),(425,1),(427,1)}
       409:{2,6,7}:{(384,1),(427,1)}
       410:{3,4,7}:{(385,1),(386,1),(388,1)}
       411:{2,3,4,6}:{(386,1),(387,1),(389,1),(395,1),(428,1),(429,1),(440,1)}
       412:{1,3,4,5}:{(387,1),(396,1),(429,1),(430,1),(436,1)}
       413:{2,3,5,7}:{(388,1),(389,1),(390,1),(392,1),(428,1),(431,1)}
       414:{1,3,5,6}:{(389,1),(391,1),(429,1),(431,1),(432,1)}
       415:{1,4,5,7}:{(390,1),(391,1),(393,1),(401,1),(431,1),(434,1)}
       416:{1,3,6,7}:{(392,1),(393,1),(431,1),(433,1)}
       417:{2,4,7}:{(394,1),(395,1),(397,1),(434,1)}
       418:{1,4,6}:{(395,1),(396,1),(398,1),(434,1)}
       419:{1,2,4,5}:{(396,1),(399,1),(406,1),(430,1),(435,1),(436,1),(438,1)}
       420:{1,3,5,7}:{(397,1),(398,1),(401,1),(402,1),(434,1),(437,1),(453,1)}
       421:{1,2,5,6}:{(398,1),(399,1),(403,1),(408,1),(432,1),(435,1),(437,1)}
       422:{1,2,3,5}:{(399,1),(400,1),(436,1),(438,1)}
       423:{1,2,6,7}:{(402,1),(403,1),(409,1),(433,1),(437,1)}
       424:{1,3,4,7}:{(404,1),(405,1),(407,1),(434,1),(439,1),(453,1)}
       425:{2,4,6}:{(405,1),(406,1),(408,1),(439,1),(440,1)}
       426:{2,3,5}:{(406,1),(436,1),(440,1),(441,1)}
       427:{2,5,7}:{(407,1),(408,1),(409,1),(439,1)}
       428:{2,3,4,7}:{(410,1),(411,1),(413,1),(417,1),(442,1),(449,1)}
       429:{1,3,4,6}:{(411,1),(412,1),(414,1),(418,1),(442,1),(443,1),(447,1)}
       430:{2,4,5}:{(412,1),(443,1),(444,1)}
       431:{1,3,5,7}:{(413,1),(414,1),(415,1),(416,1),(442,1),(445,1)}
       432:{2,5,6}:{(414,1),(443,1),(445,1)}
       433:{2,6,7}:{(416,1),(445,1)}
       434:{1,4,7}:{(417,1),(418,1),(420,1)}
       435:{1,2,4,6}:{(418,1),(419,1),(421,1),(425,1),(443,1),(446,1),(447,1)}
       436:{1,3,5}:{(419,1),(426,1),(444,1),(447,1),(448,1)}
       437:{1,2,5,7}:{(420,1),(421,1),(423,1),(427,1),(445,1),(446,1)}
       438:{1,2,4}:{(422,1),(448,1)}
       439:{2,4,7}:{(424,1),(425,1),(427,1),(449,1)}
       440:{2,3,6}:{(425,1),(426,1),(447,1),(449,1)}
       441:{2,3,4}:{(426,1),(448,1)}
       442:{1,3,4,7}:{(428,1),(429,1),(431,1),(434,1),(450,1),(453,1)}
       443:{2,4,6}:{(429,1),(430,1),(432,1),(450,1),(451,1)}
       444:{2,3,5}:{(430,1),(436,1),(451,1),(452,1)}
       445:{2,5,7}:{(431,1),(432,1),(433,1),(450,1)}
       446:{1,2,4,7}:{(434,1),(435,1),(437,1),(439,1),(450,1),(453,1)}
       447:{1,3,6}:{(435,1),(436,1),(440,1),(451,1),(453,1)}
       448:{1,3,4}:{(436,1),(438,1),(441,1),(452,1)}
       449:{2,3,7}:{(439,1),(440,1),(453,1)}
       450:{2,4,7}:{(442,1),(443,1),(445,1),(454,1)}
       451:{2,3,6}:{(443,1),(444,1),(447,1),(454,1)}
       452:{2,3,4}:{(444,1),(448,1)}
       453:{1,3,7}:{(446,1),(447,1),(449,1),(454,1)}
       454:{2,3,7}:{(450,1),(451,1),(453,1)}

2517 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2518 :   0:{1,2,3,5,6}:{(3,1),(4,1),(21,1),(24,1),(73,1),(79,1),(80,1),(150,1),(158,1),(248,1),(316,1),(324,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(20,1),(30,1),(149,1),(258,1),(259,1),(333,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(15,1),(36,1),(40,1),(48,1),(56,1),(98,1),(107,1),(194,1),(195,1),(280,1),(297,1),(341,1),(349,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(12,1),(40,1),(203,1),(349,1)}
         4:{1,2,3,5,7}:{(0,1),(12,1),(13,1),(43,1),(47,1),(52,1),(111,1),(196,1),(283,1)}
         5:{2,4,5,6}:{(1,1),(14,1),(15,1),(16,1),(40,1),(56,1),(194,1)}
         6:{1,3,4,5,7}:{(1,1),(16,1),(17,1),(41,1),(57,1),(110,1),(219,1),(220,1),(300,1)}
         7:{1,3,4,5,6}:{(18,1),(19,1),(20,1),(63,1),(149,1),(307,1),(308,1),(371,1)}
         8:{1,3,5,6}:{(2,1),(20,1),(21,1),(22,1),(24,1),(79,1),(150,1),(333,1),(371,1)}
         9:{1,2,4,5,7}:{(2,1),(22,1),(23,1),(32,1),(65,1),(71,1),(90,1),(141,1),(151,1),(153,1),(154,1),(242,1),(261,1),(310,1),(319,1)}
        10:{1,2,4,5}:{(3,1),(24,1),(68,1),(324,1),(377,1)}
        11:{1,3,4,6}:{(3,1),(24,1),(26,1),(27,1),(79,1),(150,1),(236,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(27,1),(71,1),(319,1)}
        13:{1,2,3,6,7}:{(4,1),(28,1),(75,1),(79,1),(155,1),(241,1),(248,1),(425,1)}
        14:{2,3,5,6}:{(5,1),(29,1),(30,1),(31,1),(333,1)}
        15:{1,4,5,6}:{(5,1),(30,1),(32,1),(70,1),(239,1)}
        16:{2,4,5,7}:{(5,1),(6,1),(31,1),(32,1),(33,1),(71,1),(90,1),(153,1)}
        17:{1,3,4,6,7}:{(6,1),(33,1),(34,1),(91,1),(176,1),(177,1),(263,1)}
        18:{2,4,5,6}:{(7,1),(35,1),(36,1),(37,1),(40,1),(98,1),(194,1)}
        19:{1,3,4,5,7}:{(7,1),(37,1),(38,1),(41,1),(99,1),(110,1),(273,1),(274,1),(344,1)}
        20:{1,3,4,6}:{(8,1),(39,1),(40,1),(41,1),(349,1),(363,1),(395,1)}
        21:{2,3,5,6}:{(8,1),(40,1),(42,1),(43,1),(46,1),(56,1),(98,1),(117,1),(127,1),(182,1),(194,1)}
        22:{1,3,5,7}:{(8,1),(9,1),(41,1),(43,1),(44,1),(196,1),(300,1),(344,1)}
        23:{1,2,4,6,7}:{(9,1),(44,1),(45,1),(48,1),(59,1),(101,1),(109,1),(114,1),(131,1),(186,1),(221,1),(275,1)}
        24:{1,3,5}:{(10,1),(11,1),(46,1)}
        25:{1,2,4,5,7}:{(10,1),(12,1),(47,1),(48,1),(52,1),(105,1),(123,1)}
        26:{2,3,4,6}:{(11,1),(40,1),(46,1),(49,1),(50,1),(117,1),(127,1),(182,1),(212,1),(266,1)}
        27:{1,3,4,7}:{(11,1),(12,1),(47,1),(50,1),(196,1)}
        28:{1,2,4,6,7}:{(12,1),(13,1),(48,1),(51,1),(52,1),(109,1),(288,1),(408,1),(409,1)}
        29:{2,3,4,6}:{(14,1),(40,1),(53,1),(54,1),(55,1),(182,1),(363,1)}
        30:{1,3,5,6}:{(14,1),(15,1),(54,1),(56,1),(57,1)}
        31:{2,3,5,7}:{(14,1),(16,1),(55,1),(57,1),(58,1),(300,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(57,1),(59,1),(108,1),(198,1)}
        33:{2,4,6,7}:{(16,1),(17,1),(58,1),(59,1),(60,1),(131,1)}
        34:{1,3,5,6,7}:{(17,1),(60,1),(61,1),(110,1),(135,1)}
        35:{2,3,5,6}:{(18,1),(62,1),(63,1),(64,1),(371,1)}
        36:{1,4,5,6}:{(18,1),(63,1),(65,1),(70,1),(239,1)}
        37:{2,4,5,7}:{(18,1),(19,1),(64,1),(65,1),(66,1),(71,1),(141,1),(153,1)}
        38:{1,3,4,6,7}:{(19,1),(66,1),(67,1),(142,1),(233,1),(234,1),(312,1)}
        39:{1,3,4,5}:{(20,1),(24,1),(68,1),(377,1),(389,1),(414,1)}
        40:{2,4,6}:{(20,1),(21,1),(68,1),(70,1),(71,1)}
        41:{1,3,4,7}:{(20,1),(22,1),(71,1),(319,1),(335,1),(373,1)}
        42:{1,3,5,6}:{(21,1),(70,1),(73,1),(74,1),(77,1),(150,1),(160,1),(239,1)}
        43:{2,3,5,7}:{(21,1),(22,1),(71,1),(74,1),(75,1),(90,1),(141,1),(153,1),(171,1),(228,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(75,1),(79,1),(263,1),(312,1)}
        45:{1,2,5,6,7}:{(23,1),(76,1),(80,1),(93,1),(144,1),(153,1),(175,1),(232,1),(242,1),(383,1)}
        46:{2,3,5}:{(24,1),(26,1),(68,1),(77,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(27,1),(78,1),(79,1)}
        48:{1,2,4,6}:{(25,1),(79,1),(80,1),(148,1),(162,1)}
        49:{1,3,4,6}:{(26,1),(70,1),(77,1),(81,1),(82,1),(150,1),(160,1),(236,1)}
        50:{2,3,4,7}:{(26,1),(27,1),(71,1),(78,1),(82,1),(171,1),(228,1)}
        51:{1,3,4,6,7}:{(27,1),(28,1),(79,1),(83,1),(84,1),(162,1),(241,1),(315,1),(319,1),(323,1),(386,1),(387,1)}
        52:{1,2,5,7}:{(28,1),(80,1),(84,1),(153,1),(324,1)}
        53:{2,3,4,5}:{(29,1),(68,1),(85,1),(224,1),(389,1)}
        54:{1,3,4,6}:{(29,1),(30,1),(70,1),(85,1),(87,1),(88,1),(150,1)}
        55:{2,3,4,7}:{(29,1),(31,1),(71,1),(88,1),(228,1),(335,1)}
        56:{2,5,6}:{(30,1),(87,1),(90,1)}
        57:{1,3,5,7}:{(30,1),(31,1),(32,1),(88,1),(90,1),(91,1)}
        58:{2,3,6,7}:{(31,1),(33,1),(91,1),(263,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(91,1),(93,1)}
        60:{2,5,6,7}:{(33,1),(34,1),(93,1),(153,1)}
        61:{1,4,5,6,7}:{(34,1),(94,1),(154,1),(176,1),(265,1)}
        62:{2,3,4,6}:{(35,1),(40,1),(95,1),(96,1),(97,1),(127,1),(395,1)}
        63:{1,3,5,6}:{(35,1),(36,1),(96,1),(98,1),(99,1)}
        64:{2,3,5,7}:{(35,1),(37,1),(97,1),(99,1),(100,1),(344,1)}
        65:{1,4,5,7}:{(36,1),(37,1),(99,1),(101,1),(108,1),(198,1)}
        66:{2,4,6,7}:{(37,1),(38,1),(100,1),(101,1),(102,1),(186,1)}
        67:{1,3,5,6,7}:{(38,1),(102,1),(103,1),(110,1),(190,1)}
        68:{2,4,5}:{(39,1),(40,1),(46,1),(104,1)}
        69:{1,3,4,5,7}:{(39,1),(41,1),(47,1),(105,1),(106,1),(110,1),(123,1),(211,1)}
        70:{1,4,6}:{(40,1),(42,1),(104,1),(108,1)}
        71:{2,4,7}:{(40,1),(41,1),(43,1),(108,1)}
        72:{1,3,4,6,7}:{(41,1),(44,1),(106,1),(109,1),(110,1),(114,1),(202,1)}
        73:{1,2,5,6}:{(42,1),(56,1),(98,1),(107,1),(111,1),(115,1),(205,1)}
        74:{1,3,5,7}:{(42,1),(43,1),(108,1),(111,1),(112,1),(196,1),(198,1)}
        75:{2,3,6,7}:{(43,1),(44,1),(109,1),(112,1),(117,1),(131,1),(186,1)}
        76:{1,3,5,6,7}:{(44,1),(45,1),(110,1),(113,1),(114,1),(118,1),(283,1),(354,1),(355,1)}
        77:{1,3,5}:{(46,1),(49,1),(104,1),(115,1)}
        78:{2,3,5,7}:{(46,1),(47,1),(50,1),(105,1),(116,1),(117,1)}
        79:{1,3,6}:{(47,1),(48,1),(117,1)}
        80:{1,2,5,6}:{(48,1),(52,1),(118,1),(194,1),(408,1)}
        81:{1,2,4,6}:{(49,1),(115,1),(119,1),(120,1),(203,1),(205,1)}
        82:{1,3,4,7}:{(49,1),(50,1),(108,1),(116,1),(120,1),(196,1)}
        83:{2,3,4,6,7}:{(50,1),(51,1),(109,1),(117,1),(121,1),(122,1),(202,1),(207,1),(217,1),(271,1),(287,1),(295,1),(299,1),(339,1),(343,1),(358,1),(360,1)}
        84:{1,3,5,7}:{(51,1),(52,1),(118,1),(122,1),(123,1),(348,1),(354,1)}
        85:{1,3,4,5}:{(53,1),(54,1),(104,1),(124,1),(191,1)}
        86:{2,3,4,5,7}:{(53,1),(55,1),(105,1),(125,1),(126,1),(130,1),(211,1),(267,1),(294,1),(343,1),(366,1),(394,1),(410,1)}
        87:{2,4,6}:{(54,1),(56,1),(124,1),(127,1),(128,1)}
        88:{1,3,4,7}:{(54,1),(55,1),(57,1),(108,1),(128,1),(196,1)}
        89:{2,3,4,6,7}:{(55,1),(58,1),(109,1),(126,1),(129,1),(130,1),(133,1),(202,1),(271,1),(287,1),(302,1),(343,1),(366,1)}
        90:{2,5,7}:{(56,1),(57,1),(128,1),(131,1)}
        91:{1,3,6,7}:{(57,1),(58,1),(59,1),(131,1)}
        92:{2,3,5,6,7}:{(58,1),(60,1),(130,1),(132,1),(133,1),(135,1),(223,1),(302,1)}
        93:{1,5,6,7}:{(59,1),(60,1),(198,1)}
        94:{2,4,5,6,7}:{(60,1),(61,1),(133,1),(134,1),(135,1),(199,1),(221,1),(223,1)}
        95:{2,3,4,5}:{(62,1),(68,1),(136,1),(167,1),(414,1)}
        96:{1,3,4,6}:{(62,1),(63,1),(70,1),(136,1),(138,1),(139,1),(150,1)}
        97:{2,3,4,7}:{(62,1),(64,1),(71,1),(139,1),(171,1),(373,1)}
        98:{2,5,6}:{(63,1),(138,1),(141,1)}
        99:{1,3,5,7}:{(63,1),(64,1),(65,1),(139,1),(141,1),(142,1)}
       100:{2,3,6,7}:{(64,1),(66,1),(142,1),(312,1)}
       101:{1,4,6,7}:{(65,1),(66,1),(142,1),(144,1)}
       102:{2,5,6,7}:{(66,1),(67,1),(144,1),(153,1)}
       103:{1,4,5,6,7}:{(67,1),(145,1),(154,1),(233,1),(314,1)}
       104:{1,4,5}:{(68,1),(70,1),(77,1)}
       105:{2,4,5,7}:{(68,1),(69,1),(71,1),(78,1),(147,1),(148,1),(153,1)}
       106:{1,3,4,6}:{(69,1),(79,1),(148,1),(149,1),(162,1),(251,1)}
       107:{1,2,4,6}:{(70,1),(73,1),(87,1),(138,1),(146,1),(150,1),(151,1)}
       108:{1,4,7}:{(70,1),(71,1),(74,1)}
       109:{2,4,6,7}:{(71,1),(72,1),(75,1),(148,1),(152,1),(153,1)}
       110:{1,3,5,7}:{(72,1),(149,1),(153,1),(154,1),(244,1)}
       111:{1,2,5,7}:{(73,1),(74,1),(90,1),(141,1),(151,1),(155,1)}
       112:{1,3,6,7}:{(74,1),(75,1),(152,1),(155,1),(160,1)}
       113:{2,3,5,6,7}:{(75,1),(76,1),(153,1),(156,1),(157,1),(161,1),(175,1),(232,1),(244,1),(260,1),(263,1),(309,1),(312,1),(321,1),(322,1)}
       114:{1,4,6,7}:{(76,1),(154,1),(157,1),(162,1),(319,1)}
       115:{1,2,5}:{(77,1),(81,1)}
       116:{1,3,5,7}:{(77,1),(78,1),(82,1),(147,1),(159,1),(160,1)}
       117:{2,3,6}:{(78,1),(79,1),(148,1),(160,1)}
       118:{1,3,5,6}:{(79,1),(80,1),(84,1),(161,1),(162,1),(380,1),(386,1)}
       119:{1,2,3,6}:{(81,1),(150,1),(158,1),(163,1)}
       120:{1,2,4,7}:{(81,1),(82,1),(159,1),(163,1)}
       121:{1,3,4,6,7}:{(82,1),(83,1),(152,1),(160,1),(164,1),(165,1),(241,1),(250,1),(315,1),(319,1),(326,1),(328,1)}
       122:{2,3,5,7}:{(83,1),(84,1),(153,1),(161,1),(165,1),(166,1),(244,1),(321,1),(331,1),(369,1)}
       123:{1,4,5,7}:{(84,1),(162,1),(166,1),(319,1),(377,1)}
       124:{2,4,5}:{(85,1),(87,1),(167,1)}
       125:{1,3,4,5,7}:{(85,1),(86,1),(88,1),(147,1),(168,1),(169,1),(173,1),(237,1),(319,1),(330,1),(335,1),(377,1),(389,1),(392,1),(426,1)}
       126:{2,3,4,6}:{(86,1),(148,1),(169,1),(170,1),(251,1),(305,1),(327,1),(370,1)}
       127:{2,3,6}:{(87,1),(150,1),(167,1),(171,1)}
       128:{2,4,7}:{(87,1),(88,1),(90,1),(171,1)}
       129:{1,3,4,6,7}:{(88,1),(89,1),(91,1),(152,1),(169,1),(172,1),(173,1),(176,1),(241,1),(263,1),(319,1),(323,1),(335,1),(338,1),(392,1)}
       130:{2,3,5,7}:{(89,1),(153,1),(170,1),(173,1),(174,1),(244,1),(321,1)}
       131:{2,6,7}:{(90,1),(91,1)}
       132:{1,3,5,6,7}:{(91,1),(92,1),(93,1),(173,1),(175,1),(176,1),(263,1),(265,1),(338,1)}
       133:{2,4,6,7}:{(92,1),(174,1),(176,1),(177,1)}
       134:{1,4,5,6,7}:{(93,1),(94,1),(176,1),(178,1),(243,1)}
       135:{3,5,6,7}:{(94,1),(177,1),(244,1),(263,1)}
       136:{1,3,4,5}:{(95,1),(96,1),(104,1),(179,1),(191,1)}
       137:{2,3,4,5,7}:{(95,1),(97,1),(105,1),(180,1),(181,1),(185,1),(211,1),(213,1),(294,1),(299,1),(362,1),(398,1),(429,1)}
       138:{2,4,6}:{(96,1),(98,1),(179,1),(182,1),(183,1)}
       139:{1,3,4,7}:{(96,1),(97,1),(99,1),(108,1),(183,1),(196,1)}
       140:{2,3,4,6,7}:{(97,1),(100,1),(109,1),(181,1),(184,1),(185,1),(188,1),(202,1),(217,1),(287,1),(299,1),(346,1),(398,1)}
       141:{2,5,7}:{(98,1),(99,1),(183,1),(186,1)}
       142:{1,3,6,7}:{(99,1),(100,1),(101,1),(186,1)}
       143:{2,3,5,6,7}:{(100,1),(102,1),(185,1),(187,1),(188,1),(190,1),(277,1),(346,1)}
       144:{1,5,6,7}:{(101,1),(102,1),(198,1)}
       145:{2,4,5,6,7}:{(102,1),(103,1),(188,1),(189,1),(190,1),(199,1),(275,1),(277,1)}
       146:{1,2,4,5}:{(104,1),(107,1),(115,1),(124,1),(179,1),(191,1),(203,1)}
       147:{1,4,5,7}:{(104,1),(105,1),(108,1),(116,1),(193,1),(198,1)}
       148:{2,4,6}:{(105,1),(106,1),(117,1),(193,1),(194,1)}
       149:{1,3,5,6}:{(106,1),(110,1),(194,1),(195,1),(282,1)}
       150:{1,3,6}:{(107,1),(127,1),(182,1),(191,1),(196,1)}
       151:{1,2,4,7}:{(107,1),(108,1),(111,1),(128,1),(183,1),(196,1)}
       152:{1,4,6,7}:{(108,1),(109,1),(112,1),(193,1),(198,1)}
       153:{2,5,7}:{(109,1),(110,1),(194,1),(198,1)}
       154:{1,4,5,7}:{(110,1),(114,1),(195,1),(199,1),(354,1)}
       155:{1,2,6,7}:{(111,1),(112,1),(131,1),(186,1),(205,1)}
       156:{1,3,5,6,7}:{(112,1),(113,1),(198,1),(200,1),(201,1),(206,1),(283,1),(285,1),(286,1)}
       157:{2,4,6,7}:{(113,1),(114,1),(199,1),(201,1),(202,1),(207,1),(299,1),(343,1)}
       158:{1,2,3,5}:{(115,1),(119,1),(191,1),(203,1)}
       159:{1,2,5,7}:{(115,1),(116,1),(120,1),(205,1)}
       160:{1,3,6}:{(116,1),(117,1),(193,1),(205,1)}
       161:{2,3,5,6}:{(117,1),(118,1),(122,1),(194,1),(206,1),(207,1),(282,1),(351,1),(358,1)}
       162:{1,4,6}:{(118,1),(123,1),(207,1)}
       163:{1,2,3,7}:{(119,1),(120,1),(196,1)}
       164:{1,2,4,6,7}:{(120,1),(121,1),(205,1),(208,1),(209,1),(287,1),(288,1),(290,1),(292,1)}
       165:{1,3,5,7}:{(121,1),(122,1),(198,1),(206,1),(209,1),(210,1),(348,1)}
       166:{2,4,5,7}:{(122,1),(123,1),(207,1),(210,1),(211,1),(299,1),(343,1),(362,1),(394,1)}
       167:{2,3,5}:{(124,1),(127,1),(191,1),(212,1)}
       168:{2,4,5,7}:{(124,1),(125,1),(128,1),(213,1),(214,1),(218,1),(299,1),(362,1),(413,1),(438,1)}
       169:{1,3,4,6}:{(125,1),(126,1),(193,1),(214,1),(215,1),(279,1),(349,1),(359,1),(363,1)}
       170:{2,3,5,6}:{(126,1),(130,1),(194,1),(215,1),(216,1),(282,1),(351,1)}
       171:{2,3,7}:{(127,1),(128,1),(196,1)}
       172:{2,4,6,7}:{(128,1),(129,1),(131,1),(214,1),(217,1),(218,1),(299,1),(368,1),(413,1)}
       173:{1,3,5,7}:{(129,1),(130,1),(198,1),(215,1),(218,1),(219,1),(300,1),(354,1)}
       174:{2,4,5,7}:{(130,1),(133,1),(216,1),(219,1),(220,1),(343,1)}
       175:{2,5,6,7}:{(131,1),(132,1),(218,1),(221,1),(368,1)}
       176:{1,4,6,7}:{(132,1),(133,1),(219,1),(221,1)}
       177:{3,4,6,7}:{(133,1),(135,1),(220,1)}
       178:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(223,1),(285,1)}
       179:{2,4,5}:{(136,1),(138,1),(224,1)}
       180:{1,3,4,5,7}:{(136,1),(137,1),(139,1),(147,1),(225,1),(226,1),(230,1),(237,1),(319,1),(330,1),(373,1),(377,1),(414,1),(417,1),(440,1)}
       181:{2,3,4,6}:{(137,1),(148,1),(226,1),(227,1),(251,1),(256,1),(327,1),(332,1)}
       182:{2,3,6}:{(138,1),(150,1),(224,1),(228,1)}
       183:{2,4,7}:{(138,1),(139,1),(141,1),(228,1)}
       184:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(152,1),(226,1),(229,1),(230,1),(233,1),(241,1),(312,1),(319,1),(323,1),(373,1),(376,1),(417,1)}
       185:{2,3,5,7}:{(140,1),(153,1),(227,1),(230,1),(231,1),(244,1),(321,1)}
       186:{2,6,7}:{(141,1),(142,1)}
       187:{1,3,5,6,7}:{(142,1),(143,1),(144,1),(230,1),(232,1),(233,1),(312,1),(314,1),(376,1)}
       188:{2,4,6,7}:{(143,1),(231,1),(233,1),(234,1)}
       189:{1,4,5,6,7}:{(144,1),(145,1),(233,1),(235,1),(243,1)}
       190:{3,5,6,7}:{(145,1),(234,1),(244,1),(312,1)}
       191:{1,3,5}:{(146,1),(150,1),(167,1),(224,1),(236,1)}
       192:{1,2,4,5,7}:{(146,1),(147,1),(151,1),(159,1),(168,1),(225,1),(237,1),(238,1),(242,1),(247,1),(319,1),(324,1),(330,1),(377,1),(388,1),(422,1),(443,1)}
       193:{1,4,6}:{(147,1),(148,1),(160,1),(239,1)}
       194:{2,5,6}:{(148,1),(149,1),(153,1),(239,1)}
       195:{1,4,5,6}:{(149,1),(154,1),(162,1),(240,1),(380,1)}
       196:{1,3,7}:{(150,1),(151,1),(171,1),(228,1)}
       197:{1,2,4,6,7}:{(151,1),(152,1),(155,1),(172,1),(229,1),(238,1),(241,1),(242,1),(319,1),(323,1),(383,1),(422,1)}
       198:{1,5,7}:{(152,1),(153,1),(239,1)}
       199:{2,4,5,7}:{(153,1),(154,1),(157,1),(240,1),(243,1),(244,1),(321,1)}
       200:{1,2,5,6,7}:{(155,1),(156,1),(175,1),(232,1),(242,1),(245,1),(249,1),(265,1),(314,1),(321,1)}
       201:{1,4,6,7}:{(156,1),(157,1),(243,1),(250,1),(319,1)}
       202:{3,4,6,7}:{(157,1),(244,1),(251,1),(263,1),(312,1),(335,1),(373,1)}
       203:{1,2,4}:{(158,1),(236,1)}
       204:{1,2,3,5,7}:{(158,1),(159,1),(163,1),(237,1),(247,1),(248,1),(324,1),(388,1),(425,1),(445,1)}
       205:{1,2,6}:{(159,1),(160,1)}
       206:{1,3,5,6}:{(160,1),(161,1),(165,1),(239,1),(249,1),(250,1),(326,1)}
       207:{2,4,6}:{(161,1),(162,1),(166,1),(250,1),(251,1)}
       208:{1,2,3,6,7}:{(163,1),(164,1),(241,1),(248,1),(252,1),(322,1),(326,1),(383,1)}
       209:{1,2,5,7}:{(164,1),(165,1),(249,1),(321,1),(324,1)}
       210:{1,4,5,7}:{(165,1),(166,1),(250,1),(319,1),(377,1)}
       211:{3,4,5,7}:{(166,1),(244,1),(251,1),(335,1),(373,1),(389,1),(414,1)}
       212:{2,3,4}:{(167,1),(236,1)}
       213:{2,3,5,7}:{(167,1),(168,1),(171,1),(237,1),(255,1),(256,1),(331,1),(428,1),(446,1)}
       214:{2,4,6}:{(168,1),(169,1),(256,1),(257,1)}
       215:{1,3,5,6}:{(169,1),(170,1),(173,1),(239,1),(257,1),(258,1),(333,1),(380,1)}
       216:{2,4,5,6}:{(170,1),(174,1),(258,1),(259,1),(370,1)}
       217:{2,3,6,7}:{(171,1),(172,1),(241,1),(256,1),(260,1),(263,1),(428,1)}
       218:{2,5,7}:{(172,1),(173,1),(257,1)}
       219:{1,4,5,7}:{(173,1),(174,1),(176,1),(258,1),(261,1),(319,1)}
       220:{3,4,5,7}:{(174,1),(177,1),(244,1),(259,1),(373,1)}
       221:{2,4,6,7}:{(175,1),(176,1),(261,1),(263,1)}
       222:{1,3,4,6,7}:{(176,1),(177,1),(178,1),(262,1),(263,1),(264,1),(338,1)}
       223:{2,5,6,7}:{(178,1),(264,1),(265,1),(321,1)}
       224:{2,3,5}:{(179,1),(182,1),(191,1),(266,1)}
       225:{2,4,5,7}:{(179,1),(180,1),(183,1),(267,1),(268,1),(272,1),(343,1),(394,1),(432,1),(447,1)}
       226:{1,3,4,6}:{(180,1),(181,1),(193,1),(268,1),(269,1),(279,1),(349,1),(359,1),(395,1)}
       227:{2,3,5,6}:{(181,1),(185,1),(194,1),(269,1),(270,1),(282,1),(351,1)}
       228:{2,3,7}:{(182,1),(183,1),(196,1)}
       229:{2,4,6,7}:{(183,1),(184,1),(186,1),(268,1),(271,1),(272,1),(343,1),(400,1),(432,1)}
       230:{1,3,5,7}:{(184,1),(185,1),(198,1),(269,1),(272,1),(273,1),(344,1),(354,1)}
       231:{2,4,5,7}:{(185,1),(188,1),(270,1),(273,1),(274,1),(299,1)}
       232:{2,5,6,7}:{(186,1),(187,1),(272,1),(275,1),(400,1)}
       233:{1,4,6,7}:{(187,1),(188,1),(273,1),(275,1)}
       234:{3,4,6,7}:{(188,1),(190,1),(274,1)}
       235:{1,3,5,6,7}:{(189,1),(190,1),(276,1),(277,1),(285,1)}
       236:{1,3,4}:{(191,1),(203,1),(212,1),(266,1)}
       237:{1,3,5,7}:{(191,1),(192,1),(196,1),(213,1),(267,1),(278,1),(279,1),(348,1),(435,1),(449,1)}
       238:{1,2,4,6}:{(192,1),(193,1),(205,1),(214,1),(268,1),(279,1),(280,1),(349,1),(359,1),(408,1)}
       239:{1,5,6}:{(193,1),(194,1),(198,1)}
       240:{2,4,5,6}:{(194,1),(195,1),(199,1),(207,1),(281,1),(282,1),(351,1)}
       241:{1,3,6,7}:{(196,1),(197,1),(217,1),(271,1),(279,1),(283,1),(435,1)}
       242:{1,2,5,7}:{(197,1),(198,1),(218,1),(272,1),(280,1),(283,1),(354,1)}
       243:{1,4,5,7}:{(198,1),(199,1),(201,1),(281,1),(285,1)}
       244:{3,5,7}:{(199,1),(202,1),(282,1)}
       245:{1,2,4,6,7}:{(200,1),(201,1),(221,1),(275,1),(284,1),(286,1),(287,1),(290,1),(303,1),(347,1),(368,1),(400,1)}
       246:{1,3,4,6,7}:{(201,1),(202,1),(285,1),(286,1),(287,1),(291,1),(352,1)}
       247:{1,2,4,7}:{(203,1),(204,1),(278,1),(288,1),(450,1)}
       248:{1,2,3,6}:{(204,1),(205,1),(279,1),(288,1),(408,1)}
       249:{1,2,5,6}:{(205,1),(206,1),(209,1),(290,1),(351,1)}
       250:{1,4,6}:{(206,1),(207,1),(210,1)}
       251:{3,4,6}:{(207,1),(211,1),(282,1)}
       252:{1,2,3,5,7}:{(208,1),(209,1),(283,1),(289,1),(292,1),(293,1),(353,1),(405,1),(435,1)}
       253:{1,2,4,5,7}:{(209,1),(210,1),(290,1),(292,1),(293,1),(294,1),(356,1)}
       254:{1,3,4,5,7}:{(210,1),(211,1),(285,1),(291,1),(293,1),(294,1),(352,1),(401,1)}
       255:{2,3,4,7}:{(212,1),(213,1),(278,1),(295,1),(299,1),(451,1)}
       256:{2,3,6}:{(213,1),(214,1),(279,1)}
       257:{2,5,6}:{(214,1),(215,1),(218,1)}
       258:{1,4,5,6}:{(215,1),(216,1),(219,1),(297,1),(349,1)}
       259:{3,4,5,6}:{(216,1),(220,1),(282,1),(395,1)}
       260:{2,3,5,7}:{(217,1),(218,1),(283,1),(296,1),(299,1),(300,1)}
       261:{2,4,5,7}:{(218,1),(219,1),(221,1),(297,1),(299,1),(300,1)}
       262:{1,3,4,5,7}:{(219,1),(220,1),(222,1),(285,1),(298,1),(300,1),(301,1),(352,1),(367,1)}
       263:{3,6,7}:{(221,1),(300,1)}
       264:{2,4,6,7}:{(222,1),(223,1),(301,1),(302,1),(303,1),(368,1)}
       265:{1,5,6,7}:{(223,1),(303,1),(354,1)}
       266:{2,3,4}:{(224,1),(236,1)}
       267:{2,3,5,7}:{(224,1),(225,1),(228,1),(237,1),(304,1),(305,1),(369,1),(442,1),(452,1)}
       268:{2,4,6}:{(225,1),(226,1),(305,1),(306,1)}
       269:{1,3,5,6}:{(226,1),(227,1),(230,1),(239,1),(306,1),(307,1),(371,1),(380,1)}
       270:{2,4,5,6}:{(227,1),(231,1),(307,1),(308,1),(332,1)}
       271:{2,3,6,7}:{(228,1),(229,1),(241,1),(305,1),(309,1),(312,1),(442,1)}
       272:{2,5,7}:{(229,1),(230,1),(306,1)}
       273:{1,4,5,7}:{(230,1),(231,1),(233,1),(307,1),(310,1),(319,1)}
       274:{3,4,5,7}:{(231,1),(234,1),(244,1),(308,1),(335,1)}
       275:{2,4,6,7}:{(232,1),(233,1),(310,1),(312,1)}
       276:{1,3,4,6,7}:{(233,1),(234,1),(235,1),(311,1),(312,1),(313,1),(376,1)}
       277:{2,5,6,7}:{(235,1),(313,1),(314,1),(321,1)}
       278:{1,3,4,7}:{(236,1),(237,1),(247,1),(255,1),(304,1),(315,1),(319,1),(453,1)}
       279:{1,3,6}:{(237,1),(238,1),(256,1),(305,1)}
       280:{1,2,5,6}:{(238,1),(239,1),(242,1),(257,1),(306,1),(316,1),(324,1),(380,1)}
       281:{1,4,5,6}:{(239,1),(240,1),(243,1),(250,1),(318,1)}
       282:{3,5,6}:{(240,1),(244,1),(251,1)}
       283:{1,3,5,7}:{(241,1),(242,1),(260,1),(309,1),(316,1),(319,1)}
       284:{1,2,4,5,7}:{(242,1),(243,1),(245,1),(261,1),(310,1),(317,1),(319,1),(320,1),(321,1),(337,1),(375,1),(381,1),(393,1),(418,1),(422,1)}
       285:{1,3,5,7}:{(243,1),(244,1),(246,1),(318,1),(321,1)}
       286:{1,3,6,7}:{(245,1),(263,1),(312,1),(320,1),(322,1),(326,1)}
       287:{2,4,6,7}:{(246,1),(321,1),(322,1),(323,1),(327,1),(381,1)}
       288:{1,2,4,6}:{(247,1),(248,1),(315,1),(324,1)}
       289:{1,2,3,5,6}:{(248,1),(249,1),(252,1),(316,1),(324,1),(325,1),(326,1),(379,1),(384,1),(421,1),(444,1),(445,1)}
       290:{1,2,4,6}:{(249,1),(250,1),(253,1),(326,1),(327,1)}
       291:{1,3,4,6}:{(250,1),(251,1),(254,1),(318,1),(326,1),(327,1)}
       292:{1,2,4,7}:{(252,1),(319,1),(325,1),(328,1),(381,1)}
       293:{1,3,5,7}:{(253,1),(326,1),(328,1),(329,1),(384,1)}
       294:{2,4,5,7}:{(254,1),(321,1),(327,1),(329,1),(330,1),(381,1),(419,1)}
       295:{2,3,4,6}:{(255,1),(256,1),(315,1),(331,1),(332,1)}
       296:{2,3,5,6}:{(256,1),(257,1),(260,1),(316,1),(331,1),(332,1),(333,1)}
       297:{2,4,5,6}:{(257,1),(258,1),(261,1),(332,1),(333,1)}
       298:{1,3,4,5,6}:{(258,1),(259,1),(262,1),(318,1),(333,1),(334,1),(378,1),(391,1)}
       299:{2,4,7}:{(260,1),(319,1),(332,1),(335,1)}
       300:{3,5,7}:{(261,1),(263,1),(333,1),(335,1)}
       301:{2,4,5,7}:{(262,1),(264,1),(321,1),(334,1),(336,1),(337,1),(381,1),(393,1)}
       302:{2,3,6,7}:{(263,1),(264,1),(336,1),(338,1)}
       303:{1,4,6,7}:{(264,1),(265,1),(337,1),(338,1)}
       304:{2,3,4,7}:{(266,1),(267,1),(278,1),(339,1),(343,1),(454,1)}
       305:{2,3,6}:{(267,1),(268,1),(279,1)}
       306:{2,5,6}:{(268,1),(269,1),(272,1)}
       307:{1,4,5,6}:{(269,1),(270,1),(273,1),(341,1),(349,1)}
       308:{3,4,5,6}:{(270,1),(274,1),(282,1),(363,1)}
       309:{2,3,5,7}:{(271,1),(272,1),(283,1),(340,1),(343,1),(344,1)}
       310:{2,4,5,7}:{(272,1),(273,1),(275,1),(341,1),(343,1),(344,1)}
       311:{1,3,4,5,7}:{(273,1),(274,1),(276,1),(285,1),(342,1),(344,1),(345,1),(352,1),(399,1)}
       312:{3,6,7}:{(275,1),(344,1)}
       313:{2,4,6,7}:{(276,1),(277,1),(345,1),(346,1),(347,1),(400,1)}
       314:{1,5,6,7}:{(277,1),(347,1),(354,1)}
       315:{1,3,4,6}:{(278,1),(279,1),(288,1),(295,1),(339,1),(348,1),(349,1)}
       316:{1,3,5,6}:{(279,1),(280,1),(283,1),(296,1),(340,1),(348,1),(349,1)}
       317:{1,2,4,5,6}:{(280,1),(281,1),(284,1),(290,1),(297,1),(341,1),(349,1),(350,1),(351,1),(356,1),(365,1),(397,1),(402,1),(412,1),(431,1),(434,1)}
       318:{1,3,5,6}:{(281,1),(282,1),(285,1),(291,1),(351,1)}
       319:{1,4,7}:{(283,1),(299,1),(343,1),(349,1)}
       320:{1,3,5,7}:{(284,1),(286,1),(300,1),(344,1),(350,1),(352,1),(353,1),(435,1)}
       321:{2,5,7}:{(285,1),(287,1),(351,1),(354,1)}
       322:{2,3,6,7}:{(286,1),(287,1),(353,1),(355,1),(358,1),(368,1),(400,1)}
       323:{1,4,6,7}:{(287,1),(354,1),(355,1),(359,1),(404,1)}
       324:{1,2,5}:{(288,1),(348,1)}
       325:{1,2,4,6}:{(289,1),(292,1),(349,1),(356,1),(357,1),(402,1),(450,1)}
       326:{1,3,6}:{(290,1),(293,1),(358,1)}
       327:{2,4,6}:{(291,1),(294,1),(351,1),(358,1),(359,1)}
       328:{1,3,4,7}:{(292,1),(293,1),(357,1),(360,1),(435,1)}
       329:{2,3,5,7}:{(293,1),(294,1),(358,1),(360,1),(361,1),(406,1)}
       330:{1,4,5,7}:{(294,1),(354,1),(359,1),(361,1),(404,1),(433,1)}
       331:{2,3,5}:{(295,1),(348,1),(362,1)}
       332:{2,4,6}:{(296,1),(299,1),(349,1),(362,1),(363,1)}
       333:{3,5,6}:{(297,1),(300,1),(363,1)}
       334:{2,4,5,6}:{(298,1),(301,1),(351,1),(364,1),(365,1),(402,1),(412,1)}
       335:{3,4,7}:{(299,1),(300,1),(363,1)}
       336:{2,3,5,7}:{(300,1),(301,1),(302,1),(364,1),(366,1),(367,1)}
       337:{1,4,5,7}:{(301,1),(303,1),(354,1),(365,1),(367,1),(404,1)}
       338:{1,3,6,7}:{(302,1),(303,1),(367,1),(368,1)}
       339:{2,3,4,6}:{(304,1),(305,1),(315,1),(369,1),(370,1)}
       340:{2,3,5,6}:{(305,1),(306,1),(309,1),(316,1),(369,1),(370,1),(371,1)}
       341:{2,4,5,6}:{(306,1),(307,1),(310,1),(370,1),(371,1)}
       342:{1,3,4,5,6}:{(307,1),(308,1),(311,1),(318,1),(371,1),(372,1),(378,1),(416,1)}
       343:{2,4,7}:{(309,1),(319,1),(370,1),(373,1)}
       344:{3,5,7}:{(310,1),(312,1),(371,1),(373,1)}
       345:{2,4,5,7}:{(311,1),(313,1),(321,1),(372,1),(374,1),(375,1),(381,1),(418,1)}
       346:{2,3,6,7}:{(312,1),(313,1),(374,1),(376,1)}
       347:{1,4,6,7}:{(313,1),(314,1),(375,1),(376,1)}
       348:{1,3,5}:{(315,1),(324,1),(331,1),(369,1),(377,1)}
       349:{1,4,6}:{(316,1),(319,1),(332,1),(370,1),(377,1)}
       350:{1,3,5,6}:{(317,1),(320,1),(326,1),(333,1),(371,1),(378,1),(379,1),(384,1),(444,1)}
       351:{2,5,6}:{(318,1),(321,1),(327,1),(380,1)}
       352:{1,3,4,7}:{(319,1),(320,1),(335,1),(373,1),(378,1),(381,1)}
       353:{2,3,5,7}:{(320,1),(321,1),(322,1),(379,1),(381,1),(382,1),(393,1),(418,1),(428,1),(442,1)}
       354:{1,5,7}:{(321,1),(323,1),(380,1)}
       355:{1,3,6,7}:{(322,1),(323,1),(382,1),(383,1),(386,1)}
       356:{1,2,4,5}:{(324,1),(325,1),(377,1),(384,1),(419,1)}
       357:{1,3,4,6}:{(325,1),(326,1),(328,1),(384,1),(385,1),(444,1),(453,1)}
       358:{2,3,6}:{(326,1),(327,1),(329,1),(386,1)}
       359:{1,4,6}:{(327,1),(330,1),(380,1),(386,1)}
       360:{2,3,4,7}:{(328,1),(329,1),(381,1),(385,1),(387,1),(428,1),(442,1)}
       361:{1,3,5,7}:{(329,1),(330,1),(386,1),(387,1),(388,1),(423,1)}
       362:{2,4,5}:{(331,1),(332,1),(377,1),(389,1)}
       363:{3,4,6}:{(332,1),(333,1),(335,1),(389,1)}
       364:{2,3,5,6}:{(333,1),(334,1),(336,1),(390,1),(391,1)}
       365:{1,4,5,6}:{(334,1),(337,1),(380,1),(391,1),(420,1)}
       366:{2,3,4,7}:{(335,1),(336,1),(381,1),(390,1),(392,1),(442,1)}
       367:{1,3,5,7}:{(336,1),(337,1),(338,1),(391,1),(392,1),(393,1)}
       368:{2,6,7}:{(338,1),(393,1)}
       369:{2,3,5}:{(339,1),(348,1),(394,1)}
       370:{2,4,6}:{(340,1),(343,1),(349,1),(394,1),(395,1)}
       371:{3,5,6}:{(341,1),(344,1),(395,1)}
       372:{2,4,5,6}:{(342,1),(345,1),(351,1),(396,1),(397,1),(402,1),(431,1)}
       373:{3,4,7}:{(343,1),(344,1),(395,1)}
       374:{2,3,5,7}:{(344,1),(345,1),(346,1),(396,1),(398,1),(399,1)}
       375:{1,4,5,7}:{(345,1),(347,1),(354,1),(397,1),(399,1),(404,1)}
       376:{1,3,6,7}:{(346,1),(347,1),(399,1),(400,1)}
       377:{1,4,5}:{(348,1),(349,1),(362,1),(394,1)}
       378:{1,3,4,6}:{(349,1),(350,1),(352,1),(363,1),(395,1),(401,1),(402,1)}
       379:{2,3,5,6}:{(350,1),(351,1),(353,1),(358,1),(402,1),(403,1),(406,1),(412,1),(431,1),(439,1),(448,1)}
       380:{1,5,6}:{(351,1),(354,1),(359,1)}
       381:{2,4,7}:{(352,1),(353,1),(402,1),(404,1)}
       382:{1,3,5,7}:{(353,1),(354,1),(355,1),(403,1),(404,1),(405,1),(435,1)}
       383:{1,2,6,7}:{(355,1),(368,1),(400,1),(405,1),(408,1)}
       384:{1,3,5}:{(356,1),(357,1),(406,1)}
       385:{2,3,4,6}:{(357,1),(358,1),(360,1),(402,1),(406,1),(407,1),(439,1),(448,1),(451,1),(454,1)}
       386:{1,3,6}:{(358,1),(359,1),(361,1),(408,1)}
       387:{1,3,4,7}:{(360,1),(361,1),(404,1),(407,1),(409,1),(435,1)}
       388:{1,2,5,7}:{(361,1),(408,1),(409,1),(436,1)}
       389:{3,4,5}:{(362,1),(363,1)}
       390:{2,3,4,6}:{(363,1),(364,1),(366,1),(402,1),(410,1),(411,1),(448,1)}
       391:{1,3,5,6}:{(364,1),(365,1),(367,1),(411,1),(412,1)}
       392:{1,3,4,7}:{(366,1),(367,1),(404,1),(411,1),(413,1),(435,1)}
       393:{2,5,7}:{(367,1),(368,1),(412,1),(413,1)}
       394:{2,4,5}:{(369,1),(370,1),(377,1),(414,1)}
       395:{3,4,6}:{(370,1),(371,1),(373,1),(414,1)}
       396:{2,3,5,6}:{(371,1),(372,1),(374,1),(415,1),(416,1)}
       397:{1,4,5,6}:{(372,1),(375,1),(380,1),(416,1),(420,1)}
       398:{2,3,4,7}:{(373,1),(374,1),(381,1),(415,1),(417,1),(428,1)}
       399:{1,3,5,7}:{(374,1),(375,1),(376,1),(416,1),(417,1),(418,1)}
       400:{2,6,7}:{(376,1),(418,1)}
       401:{1,3,4,5}:{(377,1),(378,1),(384,1),(389,1),(414,1),(419,1)}
       402:{2,4,6}:{(378,1),(379,1),(381,1),(419,1),(420,1)}
       403:{1,3,5,6}:{(379,1),(380,1),(382,1),(386,1),(420,1),(421,1),(423,1),(444,1)}
       404:{1,4,7}:{(381,1),(382,1),(420,1)}
       405:{1,2,5,7}:{(382,1),(383,1),(393,1),(418,1),(421,1),(422,1)}
       406:{2,3,5}:{(384,1),(385,1),(419,1),(423,1)}
       407:{1,3,4,6}:{(385,1),(386,1),(387,1),(420,1),(423,1),(424,1),(444,1),(453,1)}
       408:{1,2,6}:{(386,1),(388,1)}
       409:{1,2,4,7}:{(387,1),(388,1),(424,1),(425,1)}
       410:{2,3,4,5}:{(389,1),(390,1),(419,1),(426,1),(452,1)}
       411:{1,3,4,6}:{(390,1),(391,1),(392,1),(420,1),(426,1),(427,1),(444,1)}
       412:{2,5,6}:{(391,1),(393,1),(427,1)}
       413:{2,4,7}:{(392,1),(393,1),(427,1),(428,1)}
       414:{3,4,5}:{(394,1),(395,1)}
       415:{2,3,4,6}:{(395,1),(396,1),(398,1),(402,1),(429,1),(430,1),(439,1)}
       416:{1,3,5,6}:{(396,1),(397,1),(399,1),(430,1),(431,1)}
       417:{1,3,4,7}:{(398,1),(399,1),(404,1),(430,1),(432,1),(435,1)}
       418:{2,5,7}:{(399,1),(400,1),(431,1),(432,1)}
       419:{2,4,5}:{(401,1),(402,1),(406,1),(433,1)}
       420:{1,4,6}:{(402,1),(403,1),(404,1),(433,1)}
       421:{1,2,5,6}:{(403,1),(405,1),(408,1),(412,1),(431,1),(434,1),(436,1)}
       422:{1,2,4,7}:{(404,1),(405,1),(413,1),(432,1),(434,1),(435,1)}
       423:{1,3,5}:{(406,1),(407,1),(433,1),(436,1)}
       424:{1,2,4,6}:{(407,1),(408,1),(409,1),(436,1),(437,1),(450,1)}
       425:{1,2,3,7}:{(409,1),(435,1),(437,1)}
       426:{1,3,4,5}:{(410,1),(411,1),(433,1),(438,1),(449,1)}
       427:{2,4,6}:{(411,1),(412,1),(413,1),(438,1),(439,1)}
       428:{2,3,7}:{(413,1),(435,1),(439,1)}
       429:{2,3,4,5}:{(414,1),(415,1),(419,1),(440,1),(446,1)}
       430:{1,3,4,6}:{(415,1),(416,1),(417,1),(420,1),(440,1),(441,1),(444,1)}
       431:{2,5,6}:{(416,1),(418,1),(441,1)}
       432:{2,4,7}:{(417,1),(418,1),(441,1),(442,1)}
       433:{1,4,5}:{(419,1),(420,1),(423,1)}
       434:{1,2,4,6}:{(420,1),(421,1),(422,1),(427,1),(441,1),(443,1),(444,1)}
       435:{1,3,7}:{(422,1),(428,1),(442,1),(444,1)}
       436:{1,2,5}:{(423,1),(424,1)}
       437:{1,2,3,6}:{(424,1),(425,1),(444,1),(445,1)}
       438:{2,4,5}:{(426,1),(427,1),(446,1)}
       439:{2,3,6}:{(427,1),(428,1),(444,1),(446,1)}
       440:{1,3,4,5}:{(429,1),(430,1),(433,1),(447,1),(449,1)}
       441:{2,4,6}:{(430,1),(431,1),(432,1),(447,1),(448,1)}
       442:{2,3,7}:{(432,1),(435,1),(448,1)}
       443:{1,2,4,5}:{(433,1),(434,1),(436,1),(438,1),(447,1),(449,1),(450,1)}
       444:{1,3,6}:{(434,1),(435,1),(439,1),(448,1),(449,1)}
       445:{1,2,3,5}:{(436,1),(437,1),(449,1),(450,1)}
       446:{2,3,5}:{(438,1),(439,1),(449,1),(451,1)}
       447:{2,4,5}:{(440,1),(441,1),(452,1)}
       448:{2,3,6}:{(441,1),(442,1),(444,1),(452,1)}
       449:{1,3,5}:{(443,1),(444,1),(446,1),(452,1),(453,1)}
       450:{1,2,4}:{(445,1),(453,1)}
       451:{2,3,4}:{(446,1),(453,1)}
       452:{2,3,5}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,4}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,3,4}:{(452,1),(453,1)}

2519 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(25,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(20,1),(25,1),(51,1),(57,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(22,1),(51,1),(57,1),(82,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(44,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(36,1),(67,1),(73,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(44,1),(76,1)}
         9:{1,2,4,6,7}:{(6,1),(19,1),(20,1),(21,1),(51,1)}
        10:{1,3,4,6,7}:{(8,1),(19,1),(21,1),(22,1),(48,1),(51,1),(79,1),(82,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(23,1),(24,1),(51,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(25,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(23,1),(26,1),(27,1),(56,1)}
        14:{1,3,6}:{(5,1),(6,1),(27,1)}
        15:{1,2,5,6}:{(6,1),(20,1),(25,1),(28,1),(30,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(26,1),(29,1),(52,1),(81,1),(86,1)}
        17:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(22,1),(30,1),(31,1),(62,1)}
        19:{1,3,6,7}:{(9,1),(14,1),(33,1),(34,1),(110,1)}
        20:{1,2,5,7}:{(9,1),(15,1),(34,1),(36,1),(121,1)}
        21:{2,4,6,7}:{(10,1),(17,1),(33,1),(35,1),(36,1),(67,1)}
        22:{1,3,5,7}:{(10,1),(18,1),(36,1),(37,1),(69,1)}
        23:{2,3,4,7}:{(11,1),(13,1),(38,1),(39,1),(67,1),(111,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(44,1),(116,1),(122,1)}
        25:{1,2,5}:{(12,1),(40,1)}
        26:{1,3,5,7}:{(13,1),(16,1),(38,1),(41,1),(42,1),(72,1)}
        27:{2,3,6}:{(13,1),(14,1),(17,1),(42,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(34,1),(40,1),(43,1),(44,1),(100,1),(116,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(36,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(37,1),(44,1),(46,1),(100,1)}
        32:{1,3,5,6,7}:{(22,1),(47,1),(48,1),(79,1)}
        33:{2,3,6,7}:{(19,1),(21,1),(27,1),(49,1),(50,1),(79,1),(101,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(28,1),(50,1),(51,1),(104,1),(117,1)}
        35:{1,4,6,7}:{(21,1),(29,1),(49,1),(52,1),(81,1)}
        36:{2,5,7}:{(21,1),(22,1),(30,1),(52,1)}
        37:{1,4,5,7}:{(22,1),(31,1),(48,1),(51,1),(53,1),(104,1)}
        38:{1,3,4,7}:{(23,1),(26,1),(54,1),(55,1),(81,1),(102,1)}
        39:{2,3,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(60,1),(108,1),(118,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(57,1)}
        41:{1,2,5,7}:{(26,1),(54,1),(58,1),(85,1)}
        42:{1,3,6}:{(26,1),(27,1),(29,1),(58,1)}
        43:{2,3,5,6}:{(27,1),(28,1),(30,1),(50,1),(56,1),(59,1),(60,1),(62,1),(90,1),(108,1)}
        44:{1,4,6}:{(28,1),(51,1),(57,1),(60,1)}
        45:{1,5,6}:{(29,1),(30,1),(52,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(53,1),(60,1),(61,1),(62,1),(90,1)}
        47:{2,5,6,7}:{(32,1),(36,1),(63,1),(64,1)}
        48:{1,4,6,7}:{(32,1),(37,1),(64,1),(110,1)}
        49:{1,3,6,7}:{(33,1),(35,1),(42,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(33,1),(34,1),(36,1),(43,1),(66,1),(67,1),(69,1),(94,1),(111,1)}
        51:{1,4,7}:{(34,1),(44,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(45,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(46,1),(64,1),(67,1),(68,1),(69,1),(94,1)}
        54:{1,2,4,7}:{(38,1),(41,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(38,1),(39,1),(42,1),(71,1),(72,1),(75,1),(98,1),(113,1)}
        56:{2,3,5}:{(39,1),(40,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(45,1),(66,1),(72,1),(74,1),(75,1),(98,1)}
        60:{2,4,6}:{(43,1),(44,1),(67,1),(73,1),(75,1),(76,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(68,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(69,1),(76,1)}
        63:{1,5,6,7}:{(47,1),(52,1),(78,1)}
        64:{2,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(101,1)}
        65:{1,2,6,7}:{(49,1),(58,1),(80,1),(101,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(52,1),(59,1),(80,1),(81,1),(102,1)}
        67:{2,4,7}:{(50,1),(51,1),(60,1),(81,1),(82,1)}
        68:{1,4,5,7}:{(52,1),(53,1),(61,1),(78,1),(81,1),(83,1)}
        69:{3,5,7}:{(53,1),(62,1),(79,1),(82,1)}
        70:{1,2,3,7}:{(54,1),(84,1),(102,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(58,1),(84,1),(85,1),(105,1)}
        72:{1,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,4,5}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(80,1),(85,1),(88,1),(90,1)}
        75:{1,4,6}:{(59,1),(60,1),(81,1),(86,1)}
        76:{3,4,6}:{(60,1),(62,1),(82,1),(87,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(83,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(63,1),(64,1),(68,1),(91,1)}
        79:{3,6,7}:{(64,1),(69,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(74,1),(92,1),(94,1)}
        81:{1,4,7}:{(66,1),(67,1),(75,1)}
        82:{3,4,7}:{(67,1),(69,1),(76,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,2,3,6}:{(70,1),(71,1),(95,1),(98,1)}
        85:{1,2,5}:{(71,1),(72,1)}
        86:{1,4,5}:{(72,1),(73,1),(75,1)}
        87:{3,4,5}:{(73,1),(76,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(92,1),(96,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(77,1),(93,1),(97,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(94,1),(99,1),(100,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(83,1),(101,1)}
        92:{1,2,4,7}:{(80,1),(81,1),(88,1),(102,1),(103,1)}
        93:{1,3,4,7}:{(81,1),(82,1),(83,1),(89,1),(102,1),(103,1)}
        94:{2,5,7}:{(83,1),(90,1),(101,1),(103,1),(104,1)}
        95:{1,2,3,5}:{(84,1),(85,1),(105,1),(106,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(88,1),(105,1),(106,1),(107,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1)}
        98:{1,3,6}:{(88,1),(102,1),(106,1),(108,1)}
        99:{2,4,6}:{(89,1),(90,1),(103,1),(107,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(104,1),(109,1)}
       101:{2,6,7}:{(91,1),(94,1),(110,1)}
       102:{1,3,7}:{(92,1),(98,1),(111,1)}
       103:{2,4,7}:{(93,1),(94,1),(99,1),(111,1),(112,1)}
       104:{1,5,7}:{(94,1),(100,1),(110,1),(112,1)}
       105:{1,2,4}:{(95,1),(113,1)}
       106:{1,3,5}:{(96,1),(98,1),(113,1),(114,1)}
       107:{2,4,5}:{(97,1),(99,1),(114,1),(115,1)}
       108:{2,3,6}:{(98,1),(99,1),(111,1),(114,1),(116,1)}
       109:{1,4,6}:{(99,1),(100,1),(112,1),(115,1),(116,1)}
       110:{1,6,7}:{(101,1),(104,1)}
       111:{2,3,7}:{(102,1),(103,1),(108,1),(117,1)}
       112:{1,4,7}:{(103,1),(104,1),(109,1),(117,1)}
       113:{1,3,4}:{(105,1),(106,1),(118,1)}
       114:{2,3,5}:{(106,1),(107,1),(108,1),(118,1),(119,1)}
       115:{1,4,5}:{(107,1),(109,1),(119,1)}
       116:{1,3,6}:{(108,1),(109,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2520 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(18,1),(26,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(39,1),(140,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(29,1),(39,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(26,1),(40,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(21,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1),(23,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(54,1),(131,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(23,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(24,1),(26,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(25,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(15,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(33,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(28,1),(33,1),(35,1)}
        22:{2,3,4,5,7}:{(12,1),(14,1),(34,1),(35,1),(36,1),(70,1),(121,1),(138,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(29,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(16,1),(36,1),(38,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(37,1),(39,1),(149,1),(150,1)}
        26:{1,2,5,6}:{(16,1),(38,1),(39,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(55,1),(88,1)}
        28:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(23,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(46,1)}
        32:{1,2,4,5}:{(20,1),(46,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(42,1),(48,1),(50,1)}
        34:{1,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(51,1),(85,1),(110,1),(129,1)}
        35:{2,3,4,7}:{(21,1),(23,1),(43,1),(50,1)}
        36:{2,3,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(25,1),(44,1),(52,1),(54,1),(79,1),(144,1),(145,1)}
        38:{1,3,5,6}:{(24,1),(26,1),(53,1),(54,1),(55,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(54,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(33,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(35,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(149,1)}
        46:{1,2,3,5}:{(31,1),(32,1),(63,1)}
        47:{1,2,3,4,7}:{(31,1),(64,1),(65,1),(119,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(59,1),(63,1),(66,1)}
        49:{1,2,4,5,7}:{(32,1),(34,1),(64,1),(66,1),(67,1),(97,1),(98,1),(119,1)}
        50:{1,3,4,7}:{(33,1),(35,1),(60,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(36,1),(67,1),(69,1)}
        52:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(61,1),(68,1),(70,1),(94,1),(136,1),(138,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(70,1),(72,1)}
        55:{1,4,5,6}:{(38,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(48,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(50,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(54,1),(78,1),(79,1),(143,1),(144,1)}
        63:{1,2,3,6}:{(46,1),(48,1),(80,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,4,6}:{(47,1),(81,1),(82,1),(109,1)}
        66:{1,2,4,7}:{(48,1),(50,1),(76,1),(80,1)}
        67:{1,2,4,6}:{(49,1),(51,1),(81,1),(84,1)}
        68:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(85,1),(106,1),(127,1),(129,1)}
        69:{1,3,5,6}:{(51,1),(53,1),(84,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(52,1),(53,1),(54,1),(85,1),(87,1)}
        71:{2,4,5,6}:{(53,1),(55,1),(86,1),(87,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(87,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(66,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(70,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,7}:{(63,1),(66,1)}
        81:{1,2,3,6}:{(64,1),(67,1)}
        82:{1,2,3,5}:{(65,1),(97,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(92,1),(95,1),(98,1),(119,1)}
        84:{1,2,5,6}:{(67,1),(69,1),(98,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1)}
        86:{1,4,5,6}:{(69,1),(71,1),(100,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(100,1),(102,1)}
        88:{3,4,5,6}:{(71,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(143,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(85,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(87,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(80,1),(81,1),(83,1),(108,1),(127,1)}
        96:{1,2,3,5,6}:{(81,1),(82,1),(84,1),(108,1),(109,1),(112,1)}
        97:{1,2,4,5}:{(82,1),(109,1),(110,1)}
        98:{1,2,5,7}:{(83,1),(84,1),(85,1)}
        99:{1,2,4,5,6}:{(84,1),(86,1),(109,1),(111,1),(112,1),(114,1)}
       100:{1,4,5,7}:{(85,1),(86,1),(87,1),(106,1)}
       101:{1,3,4,5,6}:{(86,1),(88,1),(112,1),(113,1),(114,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(98,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(100,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(119,1),(122,1)}
       109:{1,2,4,6}:{(96,1),(97,1),(119,1),(120,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(117,1),(119,1),(122,1),(124,1)}
       112:{1,3,5,6}:{(99,1),(120,1),(122,1),(123,1)}
       113:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(122,1),(124,1)}
       114:{2,4,5,6}:{(101,1),(123,1),(124,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(111,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(113,1),(126,1),(127,1),(128,1)}
       119:{1,2,4,7}:{(108,1),(109,1),(129,1)}
       120:{1,3,4,6}:{(109,1),(110,1),(112,1),(129,1),(130,1)}
       121:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       122:{1,3,5,7}:{(111,1),(112,1),(127,1),(129,1),(132,1)}
       123:{2,3,5,6}:{(112,1),(114,1),(130,1),(132,1),(133,1)}
       124:{2,4,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(114,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(122,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(124,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,7}:{(119,1),(120,1),(122,1),(138,1)}
       130:{2,3,4,6}:{(120,1),(121,1),(123,1),(138,1),(139,1)}
       131:{1,3,4,5}:{(121,1),(139,1),(140,1)}
       132:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(138,1),(141,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(139,1),(141,1),(142,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(141,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(143,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,4,6}:{(130,1),(131,1),(133,1),(145,1),(146,1)}
       140:{1,2,4,5}:{(131,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(134,1),(144,1),(145,1),(148,1)}
       142:{1,2,5,6}:{(133,1),(146,1),(148,1)}
       143:{1,5,6,7}:{(135,1),(137,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1),(149,1)}
       145:{1,3,4,7}:{(138,1),(139,1),(141,1),(150,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(141,1),(142,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2521 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(83,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(69,1),(92,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(25,1),(27,1),(55,1),(81,1)}
        4:{1,2,3,6}:{(1,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(29,1),(30,1),(53,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(19,1),(34,1),(39,1),(41,1),(67,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
        9:{1,2,3,6,7}:{(4,1),(15,1),(17,1),(64,1),(92,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(38,1)}
       11:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(45,1),(53,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(24,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(25,1),(27,1),(81,1),(96,1)}
       16:{1,2,5,6}:{(8,1),(24,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1),(27,1),(51,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(27,1),(28,1)}
       19:{1,3,4,5}:{(11,1),(28,1),(29,1)}
       20:{2,3,4,6,7}:{(12,1),(23,1),(30,1),(53,1),(56,1),(78,1)}
       21:{2,3,5,6}:{(12,1),(24,1),(30,1),(31,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(20,1),(32,1),(34,1),(39,1),(61,1),(64,1),(67,1),(90,1)}
       24:{1,3,5,6}:{(14,1),(16,1),(21,1),(33,1),(34,1),(35,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(37,1),(38,1),(63,1)}
       27:{1,2,4,7}:{(17,1),(18,1),(39,1)}
       28:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1),(40,1)}
       29:{2,3,4,5}:{(19,1),(40,1),(41,1)}
       30:{2,3,5,7}:{(20,1),(21,1),(34,1),(43,1)}
       31:{2,4,5,6}:{(21,1),(35,1),(43,1),(44,1)}
       32:{2,3,4,6,7}:{(22,1),(23,1),(45,1),(53,1),(72,1),(78,1)}
       33:{2,3,5,6}:{(22,1),(24,1),(45,1),(46,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(30,1),(45,1),(48,1)}
       35:{1,4,5,6}:{(24,1),(31,1),(46,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(76,1)}
       38:{1,3,5,6}:{(26,1),(28,1),(51,1),(52,1)}
       39:{1,3,4,7}:{(27,1),(28,1),(51,1),(53,1)}
       40:{2,3,4,6}:{(28,1),(29,1),(52,1),(53,1),(54,1)}
       41:{1,3,4,5}:{(29,1),(54,1),(55,1)}
       42:{2,3,5,6,7}:{(30,1),(47,1),(56,1),(78,1),(84,1),(94,1)}
       43:{2,4,5,7}:{(30,1),(31,1),(48,1),(56,1),(57,1)}
       44:{3,4,5,6}:{(31,1),(57,1)}
       45:{2,3,5,7}:{(32,1),(33,1),(34,1),(59,1)}
       46:{2,4,5,6}:{(33,1),(35,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(42,1),(58,1),(61,1),(64,1),(90,1),(97,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(43,1),(59,1),(61,1)}
       49:{1,3,4,5,6}:{(35,1),(38,1),(44,1),(60,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(61,1),(64,1),(88,1)}
       51:{1,3,5,7}:{(37,1),(38,1),(39,1),(64,1),(65,1)}
       52:{2,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(66,1)}
       53:{2,3,4,7}:{(39,1),(40,1),(65,1),(67,1)}
       54:{1,3,4,6}:{(40,1),(41,1),(66,1),(67,1),(68,1)}
       55:{1,2,4,5}:{(41,1),(68,1),(69,1)}
       56:{2,4,6,7}:{(42,1),(43,1),(61,1),(71,1)}
       57:{3,4,5,7}:{(43,1),(44,1),(71,1)}
       58:{2,3,5,6,7}:{(45,1),(47,1),(72,1),(78,1),(93,1),(94,1)}
       59:{2,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(73,1)}
       60:{3,4,5,6}:{(46,1),(73,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(56,1),(72,1)}
       62:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(57,1),(73,1),(75,1),(76,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(76,1),(77,1)}
       64:{1,3,6,7}:{(50,1),(51,1),(78,1)}
       65:{2,3,5,7}:{(51,1),(52,1),(53,1),(76,1),(78,1),(79,1)}
       66:{1,3,5,6}:{(52,1),(54,1),(77,1),(79,1),(80,1)}
       67:{1,3,4,7}:{(53,1),(54,1),(79,1),(81,1)}
       68:{1,2,4,6}:{(54,1),(55,1),(80,1),(81,1),(82,1)}
       69:{1,2,3,5}:{(55,1),(82,1),(83,1)}
       70:{2,4,5,6,7}:{(56,1),(74,1),(84,1),(94,1)}
       71:{3,4,6,7}:{(56,1),(57,1),(84,1)}
       72:{2,4,6,7}:{(58,1),(59,1),(61,1),(86,1)}
       73:{3,4,5,7}:{(59,1),(60,1),(86,1)}
       74:{1,4,5,6,7}:{(61,1),(70,1),(85,1),(87,1),(97,1)}
       75:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(71,1),(86,1),(87,1),(88,1)}
       76:{2,4,5,7}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
       79:{1,3,5,7}:{(65,1),(66,1),(67,1),(89,1),(90,1),(91,1)}
       80:{1,2,5,6}:{(66,1),(68,1),(91,1)}
       81:{1,2,4,7}:{(67,1),(68,1),(91,1),(92,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,3,4}:{(69,1)}
       84:{3,5,6,7}:{(70,1),(71,1)}
       85:{2,4,5,6,7}:{(72,1),(74,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(72,1),(73,1),(93,1)}
       87:{1,3,5,6,7}:{(74,1),(75,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(75,1),(76,1),(78,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(76,1),(77,1),(79,1),(95,1)}
       90:{1,3,6,7}:{(78,1),(79,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
       92:{1,2,3,7}:{(81,1),(82,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2522 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2523 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(121,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(68,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(68,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(113,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(67,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(82,1),(118,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(51,1),(103,1),(119,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(51,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(49,1),(54,1),(82,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(51,1),(83,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(110,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(93,1),(110,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(66,1),(92,1),(111,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(68,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(64,1),(69,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(58,1),(68,1),(88,1),(96,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(72,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(43,1),(44,1),(101,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(42,1),(45,1),(46,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(43,1),(45,1),(46,1),(78,1),(80,1),(101,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(45,1)}
        31:{2,3,5}:{(17,1),(19,1),(46,1),(49,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(117,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(108,1),(119,1)}
        34:{1,4,5}:{(19,1),(49,1),(51,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(53,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(47,1),(52,1),(54,1),(82,1)}
        38:{2,5,6}:{(23,1),(25,1),(53,1),(54,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(51,1),(55,1),(56,1),(108,1)}
        41:{1,3,5,6,7}:{(39,1),(57,1),(58,1),(88,1)}
        42:{1,2,5,7}:{(26,1),(28,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(59,1),(60,1),(61,1)}
        44:{1,2,3,5}:{(27,1),(60,1),(61,1),(91,1)}
        45:{1,3,6}:{(28,1),(30,1),(36,1),(59,1)}
        46:{1,3,5}:{(29,1),(31,1),(60,1),(64,1)}
        47:{2,3,6,7}:{(30,1),(32,1),(37,1),(62,1),(65,1),(88,1),(109,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(63,1),(65,1),(66,1),(72,1),(98,1),(111,1)}
        49:{2,4,5}:{(31,1),(34,1),(64,1),(66,1),(67,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(35,1),(65,1),(68,1),(116,1),(123,1)}
        51:{1,4,6}:{(33,1),(34,1),(66,1),(68,1)}
        52:{1,4,6,7}:{(36,1),(37,1),(62,1),(69,1),(93,1)}
        53:{1,5,6}:{(36,1),(38,1),(69,1)}
        54:{2,5,7}:{(37,1),(38,1),(39,1),(69,1)}
        55:{2,4,5,6}:{(38,1),(40,1),(66,1),(70,1),(71,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(71,1),(116,1)}
        57:{2,5,6,7}:{(41,1),(54,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(117,1)}
        59:{1,2,6}:{(42,1),(45,1)}
        60:{1,2,5}:{(43,1),(46,1)}
        61:{1,2,4}:{(44,1),(78,1)}
        62:{1,3,6,7}:{(45,1),(47,1),(52,1),(75,1),(79,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(53,1),(76,1),(79,1),(80,1),(101,1)}
        64:{1,4,5}:{(46,1),(49,1),(80,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(54,1),(79,1),(82,1),(86,1),(107,1),(118,1)}
        66:{2,4,6}:{(48,1),(49,1),(51,1),(80,1),(82,1),(83,1)}
        67:{3,4,5}:{(49,1),(83,1)}
        68:{1,4,7}:{(50,1),(51,1),(82,1)}
        69:{1,5,7}:{(52,1),(53,1),(54,1)}
        70:{1,4,5,6}:{(53,1),(55,1),(80,1),(84,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(82,1),(84,1),(86,1),(107,1)}
        72:{3,5,6}:{(55,1),(83,1),(86,1)}
        73:{1,5,6,7}:{(57,1),(69,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(71,1),(87,1),(88,1),(109,1)}
        75:{1,2,6,7}:{(59,1),(62,1),(89,1),(109,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(89,1),(90,1),(98,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(64,1),(90,1),(91,1),(95,1)}
        78:{1,3,4}:{(61,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(89,1),(93,1),(110,1)}
        80:{1,4,6}:{(63,1),(64,1),(66,1),(93,1)}
        81:{1,3,4,5}:{(64,1),(67,1),(91,1),(94,1),(95,1)}
        82:{2,4,7}:{(65,1),(66,1),(68,1),(93,1),(96,1)}
        83:{3,4,6}:{(66,1),(67,1),(72,1),(96,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(97,1)}
        85:{1,3,5,6}:{(70,1),(72,1),(94,1),(97,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(84,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{1,2,5,7}:{(75,1),(76,1),(79,1),(100,1),(107,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(100,1),(101,1),(105,1)}
        91:{1,3,5}:{(77,1),(78,1),(101,1),(102,1)}
        92:{2,3,4}:{(78,1),(102,1),(103,1)}
        93:{1,4,7}:{(79,1),(80,1),(82,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(85,1),(101,1),(104,1),(105,1)}
        95:{2,4,5}:{(81,1),(102,1),(105,1),(106,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(104,1),(107,1)}
        98:{2,5,6}:{(85,1),(105,1),(107,1),(108,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(97,1),(109,1)}
       100:{1,2,4,7}:{(89,1),(90,1),(93,1),(110,1),(114,1)}
       101:{1,3,6}:{(90,1),(91,1),(110,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(95,1),(111,1),(112,1)}
       103:{1,3,4}:{(92,1),(112,1),(113,1)}
       104:{1,3,4,7}:{(93,1),(94,1),(96,1),(97,1),(110,1),(114,1)}
       105:{2,4,6}:{(94,1),(95,1),(98,1),(111,1),(114,1),(115,1)}
       106:{1,4,5}:{(95,1),(112,1),(115,1)}
       107:{2,5,7}:{(97,1),(98,1),(109,1),(114,1),(116,1)}
       108:{1,5,6}:{(98,1),(115,1),(116,1)}
       109:{2,6,7}:{(99,1),(107,1),(117,1)}
       110:{1,3,7}:{(100,1),(101,1),(118,1)}
       111:{2,3,6}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,3,5}:{(102,1),(103,1),(106,1),(119,1),(120,1)}
       113:{1,2,4}:{(103,1),(120,1),(121,1)}
       114:{2,4,7}:{(104,1),(105,1),(107,1),(118,1),(122,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(119,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(117,1),(122,1)}
       117:{1,6,7}:{(109,1),(116,1)}
       118:{2,3,7}:{(110,1),(111,1),(114,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(115,1),(123,1),(124,1)}
       120:{1,2,5}:{(112,1),(113,1),(124,1)}
       121:{1,2,3}:{(113,1)}
       122:{1,4,7}:{(114,1),(115,1),(116,1),(123,1)}
       123:{1,3,7}:{(118,1),(119,1),(122,1),(125,1)}
       124:{1,2,6}:{(119,1),(120,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2524 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2525 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2526 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2527 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2528 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2529 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2530 :   0:{1,2,3,6,7}:{(5,1),(6,1),(91,1),(98,1),(121,1),(230,1),(232,1),(327,1)}
         1:{1,4,5,6,7}:{(4,1),(7,1),(97,1),(107,1),(235,1)}
         2:{1,2,3,5,6}:{(5,1),(8,1),(34,1),(42,1),(48,1),(98,1),(121,1),(126,1),(128,1),(205,1),(224,1),(318,1)}
         3:{1,3,4,5,6}:{(9,1),(10,1),(29,1),(46,1),(100,1),(130,1),(210,1),(233,1)}
         4:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(19,1),(57,1),(63,1),(160,1),(279,1)}
         5:{1,2,3,5,7}:{(0,1),(2,1),(15,1),(18,1),(74,1),(180,1),(182,1),(283,1),(365,1)}
         6:{1,2,4,6,7}:{(0,1),(15,1),(17,1),(18,1),(75,1),(139,1),(148,1),(255,1),(289,1)}
         7:{1,3,5,6,7}:{(1,1),(13,1),(16,1),(19,1),(290,1)}
         8:{1,2,4,6}:{(2,1),(15,1),(22,1),(23,1),(66,1),(181,1),(364,1)}
         9:{2,4,5,6}:{(3,1),(21,1),(24,1),(25,1),(83,1),(181,1),(288,1)}
        10:{1,3,4,5,7}:{(3,1),(16,1),(25,1),(59,1),(84,1),(153,1),(184,1),(270,1),(290,1)}
        11:{1,2,3,6,7}:{(26,1),(27,1),(37,1),(98,1),(200,1),(310,1),(312,1),(327,1)}
        12:{1,4,5,6,7}:{(4,1),(28,1),(43,1),(107,1),(315,1)}
        13:{3,5,6,7}:{(4,1),(31,1),(219,1),(330,1)}
        14:{2,3,4,5}:{(35,1),(36,1),(127,1),(209,1),(222,1)}
        15:{1,2,4,7}:{(5,1),(8,1),(38,1),(239,1),(401,1)}
        16:{1,3,4,6,7}:{(7,1),(10,1),(31,1),(40,1),(107,1),(119,1),(219,1)}
        17:{1,3,4,6,7}:{(6,1),(32,1),(38,1),(41,1),(121,1),(123,1),(195,1),(204,1),(309,1),(327,1),(394,1),(401,1)}
        18:{1,2,5,7}:{(6,1),(41,1),(42,1),(205,1),(339,1)}
        19:{2,5,6,7}:{(7,1),(40,1),(43,1),(339,1)}
        20:{1,2,3,6}:{(34,1),(37,1),(44,1),(224,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(46,1),(47,1),(210,1)}
        22:{1,3,4,6}:{(8,1),(38,1),(45,1),(48,1),(111,1),(121,1),(224,1)}
        23:{1,2,4,5}:{(8,1),(48,1),(127,1),(205,1),(317,1)}
        24:{1,4,5,6}:{(9,1),(46,1),(50,1),(236,1),(337,1)}
        25:{2,4,5,7}:{(9,1),(10,1),(40,1),(47,1),(50,1),(129,1),(239,1),(339,1)}
        26:{1,2,3,5,7}:{(11,1),(51,1),(53,1),(56,1),(142,1),(351,1),(353,1),(365,1),(414,1)}
        27:{1,2,4,6,7}:{(11,1),(53,1),(55,1),(56,1),(71,1),(143,1),(148,1),(170,1),(359,1)}
        28:{1,3,5,6,7}:{(12,1),(13,1),(54,1),(57,1),(360,1)}
        29:{3,4,5,6}:{(58,1),(59,1),(277,1),(423,1)}
        30:{2,3,4,5,7}:{(14,1),(61,1),(62,1),(70,1),(132,1),(151,1),(159,1),(171,1),(245,1),(256,1),(271,1),(362,1),(425,1)}
        31:{3,4,6,7}:{(13,1),(59,1),(63,1)}
        32:{2,3,4,6,7}:{(17,1),(55,1),(64,1),(72,1),(140,1),(149,1),(161,1),(172,1),(257,1),(263,1),(276,1),(278,1),(289,1),(359,1),(367,1),(370,1),(425,1)}
        33:{2,3,5,6,7}:{(13,1),(19,1),(57,1),(63,1),(65,1),(73,1),(141,1),(151,1)}
        34:{1,2,3,5}:{(20,1),(66,1),(81,1),(164,1)}
        35:{1,3,4,5}:{(14,1),(68,1),(69,1),(164,1),(178,1)}
        36:{2,3,4,6}:{(14,1),(21,1),(69,1),(70,1),(181,1),(269,1),(281,1)}
        37:{1,2,3,7}:{(20,1),(71,1),(283,1)}
        38:{1,3,4,7}:{(15,1),(22,1),(72,1),(74,1),(283,1)}
        39:{1,2,4,5,7}:{(15,1),(18,1),(23,1),(74,1),(75,1),(77,1),(171,1)}
        40:{2,4,6,7}:{(16,1),(19,1),(25,1),(73,1),(76,1),(173,1)}
        41:{1,3,5,7}:{(17,1),(18,1),(64,1),(77,1),(78,1),(264,1),(421,1)}
        42:{1,2,5,6}:{(18,1),(75,1),(78,1),(255,1),(288,1)}
        43:{1,5,6,7}:{(19,1),(76,1),(379,1)}
        44:{1,2,4,6}:{(20,1),(66,1),(71,1),(80,1),(81,1),(170,1)}
        45:{2,3,4,6}:{(22,1),(67,1),(72,1),(80,1),(82,1),(163,1),(167,1),(172,1),(181,1),(281,1)}
        46:{1,3,5,6}:{(21,1),(24,1),(69,1),(83,1),(84,1)}
        47:{2,3,5,7}:{(21,1),(25,1),(70,1),(73,1),(84,1),(270,1)}
        48:{1,3,5}:{(22,1),(23,1),(82,1)}
        49:{1,2,4,5,6}:{(23,1),(24,1),(75,1),(83,1),(86,1),(87,1),(152,1),(165,1),(176,1),(181,1),(265,1),(288,1),(292,1),(364,1),(375,1),(424,1)}
        50:{1,4,5,7}:{(24,1),(25,1),(76,1),(84,1),(293,1),(379,1)}
        51:{1,2,3,5,6}:{(26,1),(88,1),(96,1),(98,1),(185,1),(192,1),(200,1),(205,1),(302,1),(304,1),(318,1),(384,1)}
        52:{1,3,4,5,6}:{(29,1),(89,1),(90,1),(100,1),(190,1),(210,1),(306,1),(313,1)}
        53:{1,2,4,7}:{(26,1),(88,1),(92,1),(391,1),(401,1)}
        54:{1,3,4,6,7}:{(28,1),(31,1),(90,1),(94,1),(107,1),(198,1),(219,1)}
        55:{1,3,4,6,7}:{(27,1),(32,1),(92,1),(95,1),(116,1),(200,1),(202,1),(204,1),(229,1),(327,1),(338,1),(401,1)}
        56:{1,2,5,7}:{(27,1),(95,1),(96,1),(205,1),(395,1)}
        57:{2,5,6,7}:{(28,1),(94,1),(97,1),(395,1)}
        58:{2,4,5,6}:{(29,1),(99,1),(100,1),(101,1),(398,1)}
        59:{3,4,5,7}:{(29,1),(31,1),(101,1),(330,1),(440,1)}
        60:{1,2,3,5,7}:{(34,1),(37,1),(91,1),(98,1),(102,1),(117,1),(185,1),(196,1),(205,1),(213,1)}
        61:{1,3,4,5,7}:{(30,1),(35,1),(104,1),(105,1),(115,1),(186,1),(208,1),(209,1),(213,1),(228,1),(300,1),(308,1),(317,1),(323,1),(401,1)}
        62:{2,3,4,6}:{(30,1),(99,1),(105,1),(218,1),(231,1),(311,1),(325,1),(398,1)}
        63:{2,4,6,7}:{(31,1),(33,1),(101,1),(107,1)}
        64:{2,3,5,7}:{(32,1),(41,1),(95,1),(108,1),(109,1),(206,1),(316,1),(330,1),(339,1),(395,1)}
        65:{1,3,5,6,7}:{(33,1),(43,1),(97,1),(107,1),(110,1),(119,1),(198,1),(208,1),(219,1)}
        66:{1,2,4}:{(34,1),(111,1)}
        67:{2,3,4}:{(111,1),(113,1)}
        68:{2,4,5}:{(35,1),(113,1),(114,1)}
        69:{1,3,4,6}:{(35,1),(36,1),(46,1),(114,1),(115,1),(224,1),(236,1)}
        70:{2,3,4,7}:{(36,1),(47,1),(115,1),(239,1),(323,1),(333,1)}
        71:{1,2,4,7}:{(37,1),(44,1),(116,1),(117,1)}
        72:{2,3,4,7}:{(38,1),(45,1),(116,1),(118,1),(227,1),(239,1),(333,1)}
        73:{2,3,6,7}:{(40,1),(47,1),(119,1),(219,1)}
        74:{1,3,5,7}:{(38,1),(39,1),(48,1),(118,1),(121,1)}
        75:{1,2,4,6}:{(39,1),(42,1),(121,1),(123,1),(231,1)}
        76:{1,4,6,7}:{(40,1),(43,1),(50,1),(119,1)}
        77:{1,4,5,7}:{(41,1),(108,1),(123,1),(317,1),(401,1)}
        78:{1,3,5,6}:{(41,1),(42,1),(109,1),(121,1),(123,1),(309,1),(393,1)}
        79:{1,2,5,6,7}:{(42,1),(43,1),(110,1),(122,1),(124,1),(310,1),(319,1),(339,1),(410,1),(443,1)}
        80:{1,3,4,6}:{(44,1),(45,1),(111,1),(116,1),(125,1),(224,1),(229,1),(236,1)}
        81:{1,2,5}:{(44,1),(125,1)}
        82:{2,3,5}:{(45,1),(48,1),(125,1),(127,1)}
        83:{2,5,6}:{(46,1),(114,1),(129,1)}
        84:{1,3,5,7}:{(46,1),(47,1),(50,1),(115,1),(119,1),(129,1)}
        85:{1,3,4,5}:{(48,1),(127,1),(130,1),(209,1),(317,1),(397,1)}
        86:{1,3,5,6}:{(48,1),(49,1),(121,1),(128,1),(130,1),(131,1),(210,1),(224,1),(439,1)}
        87:{1,2,4,5,7}:{(49,1),(50,1),(122,1),(129,1),(131,1),(211,1),(225,1),(235,1),(239,1),(319,1),(339,1),(341,1),(401,1),(408,1),(441,1)}
        88:{1,2,4,6}:{(51,1),(53,1),(135,1),(136,1),(241,1),(352,1),(364,1)}
        89:{2,4,5,6}:{(52,1),(134,1),(137,1),(138,1),(249,1),(352,1),(358,1)}
        90:{1,3,4,5,7}:{(52,1),(54,1),(59,1),(138,1),(153,1),(250,1),(270,1),(355,1),(360,1)}
        91:{1,2,3,7}:{(133,1),(139,1),(414,1)}
        92:{1,3,4,7}:{(53,1),(135,1),(140,1),(142,1),(414,1)}
        93:{1,2,4,5,7}:{(53,1),(56,1),(136,1),(142,1),(143,1),(145,1),(256,1)}
        94:{2,4,6,7}:{(54,1),(57,1),(138,1),(141,1),(144,1),(258,1)}
        95:{1,3,5,7}:{(55,1),(56,1),(64,1),(145,1),(146,1),(264,1),(379,1)}
        96:{1,2,5,6}:{(56,1),(143,1),(146,1),(170,1),(358,1)}
        97:{1,5,6,7}:{(57,1),(144,1),(421,1)}
        98:{1,2,3,6}:{(60,1),(148,1),(170,1),(255,1),(273,1)}
        99:{2,3,5,6}:{(58,1),(62,1),(150,1),(151,1),(277,1),(288,1),(358,1)}
       100:{1,4,5,6}:{(58,1),(150,1),(152,1),(153,1),(364,1)}
       101:{2,4,5,7}:{(58,1),(59,1),(63,1),(151,1),(153,1),(425,1)}
       102:{1,2,4,7}:{(60,1),(66,1),(148,1),(154,1),(241,1)}
       103:{2,3,4,7}:{(67,1),(149,1),(154,1),(156,1),(242,1),(367,1)}
       104:{2,4,5,7}:{(61,1),(68,1),(156,1),(157,1),(168,1),(243,1),(266,1),(268,1),(348,1),(367,1)}
       105:{1,3,4,6}:{(61,1),(62,1),(150,1),(157,1),(269,1),(273,1),(286,1),(356,1),(364,1)}
       106:{2,3,4,6,7}:{(62,1),(63,1),(70,1),(73,1),(141,1),(151,1),(158,1),(245,1),(278,1),(289,1),(359,1),(370,1),(425,1)}
       107:{1,4,6,7}:{(63,1),(65,1),(153,1),(160,1)}
       108:{2,4,5,7}:{(64,1),(77,1),(145,1),(159,1),(161,1),(266,1),(362,1),(367,1),(425,1)}
       109:{2,3,5,6}:{(64,1),(78,1),(146,1),(161,1),(172,1),(257,1),(277,1),(288,1),(358,1)}
       110:{2,5,6,7}:{(65,1),(160,1),(173,1),(258,1),(268,1)}
       111:{1,3,4}:{(66,1),(67,1),(163,1),(164,1)}
       112:{1,2,4,5}:{(66,1),(68,1),(81,1),(164,1),(165,1),(178,1),(280,1)}
       113:{2,3,5}:{(67,1),(68,1),(164,1),(167,1)}
       114:{2,4,6}:{(68,1),(69,1),(83,1),(167,1),(168,1)}
       115:{1,3,4,7}:{(69,1),(70,1),(84,1),(168,1),(283,1),(293,1)}
       116:{1,3,4,7}:{(71,1),(72,1),(80,1),(169,1),(283,1),(293,1)}
       117:{1,2,5,7}:{(71,1),(81,1),(169,1),(170,1)}
       118:{2,3,5,7}:{(72,1),(74,1),(82,1),(169,1),(171,1),(172,1)}
       119:{1,3,6,7}:{(73,1),(76,1),(84,1),(173,1)}
       120:{1,3,4,5,7}:{(74,1),(77,1),(85,1),(159,1),(171,1),(174,1),(184,1),(290,1)}
       121:{1,3,6}:{(74,1),(75,1),(172,1)}
       122:{1,2,4,6,7}:{(75,1),(76,1),(79,1),(87,1),(160,1),(173,1),(175,1),(177,1),(289,1),(381,1),(430,1),(450,1)}
       123:{1,4,6}:{(77,1),(78,1),(161,1)}
       124:{1,3,5,6,7}:{(78,1),(79,1),(162,1),(175,1),(177,1),(290,1),(357,1),(365,1),(421,1)}
       125:{1,3,5}:{(80,1),(81,1),(82,1),(178,1)}
       126:{1,2,5,6}:{(81,1),(83,1),(165,1),(170,1),(179,1),(180,1),(375,1)}
       127:{2,4,5}:{(82,1),(85,1),(178,1),(181,1)}
       128:{2,3,5,6}:{(82,1),(83,1),(86,1),(167,1),(172,1),(179,1),(181,1),(182,1),(281,1),(288,1),(375,1)}
       129:{2,5,7}:{(83,1),(84,1),(168,1),(173,1)}
       130:{1,3,4,6}:{(85,1),(86,1),(181,1),(184,1),(269,1),(364,1),(423,1)}
       131:{1,3,5,7}:{(86,1),(87,1),(175,1),(182,1),(184,1),(270,1),(283,1),(449,1)}
       132:{2,3,4,5}:{(186,1),(187,1),(209,1),(303,1),(382,1)}
       133:{1,2,3,6}:{(91,1),(185,1),(188,1),(384,1)}
       134:{2,3,5,6}:{(89,1),(187,1),(190,1),(191,1),(210,1)}
       135:{1,3,4,6}:{(88,1),(92,1),(189,1),(192,1),(200,1),(296,1),(384,1)}
       136:{1,2,4,5}:{(88,1),(192,1),(205,1),(303,1),(317,1)}
       137:{1,4,5,6}:{(89,1),(190,1),(194,1),(388,1),(393,1)}
       138:{2,4,5,7}:{(89,1),(90,1),(94,1),(191,1),(194,1),(305,1),(391,1),(395,1)}
       139:{1,2,4,7}:{(91,1),(188,1),(195,1),(196,1)}
       140:{2,3,4,7}:{(92,1),(189,1),(195,1),(197,1),(387,1),(391,1),(432,1)}
       141:{2,3,6,7}:{(94,1),(191,1),(198,1),(219,1)}
       142:{1,3,5,7}:{(92,1),(93,1),(192,1),(197,1),(200,1)}
       143:{1,2,4,6}:{(93,1),(96,1),(200,1),(202,1),(311,1)}
       144:{1,4,6,7}:{(94,1),(97,1),(194,1),(198,1)}
       145:{1,4,5,7}:{(95,1),(108,1),(202,1),(317,1),(401,1)}
       146:{1,3,5,6}:{(95,1),(96,1),(109,1),(200,1),(202,1),(229,1),(337,1)}
       147:{1,2,5,6,7}:{(96,1),(97,1),(110,1),(201,1),(203,1),(230,1),(319,1),(395,1),(438,1),(443,1)}
       148:{1,2,4,6}:{(98,1),(102,1),(204,1),(205,1)}
       149:{2,3,4,6}:{(103,1),(204,1),(206,1),(216,1),(320,1)}
       150:{1,3,5,6}:{(99,1),(100,1),(105,1),(207,1),(208,1),(210,1),(337,1),(393,1)}
       151:{2,3,5,7}:{(99,1),(101,1),(106,1),(208,1),(330,1),(339,1),(395,1)}
       152:{2,4,5,6}:{(100,1),(207,1),(210,1),(211,1),(320,1)}
       153:{1,4,5,7}:{(100,1),(101,1),(107,1),(208,1),(211,1),(401,1)}
       154:{1,3,4,7}:{(102,1),(103,1),(111,1),(204,1),(212,1),(213,1),(296,1),(401,1)}
       155:{1,2,4,5,7}:{(102,1),(104,1),(112,1),(117,1),(196,1),(205,1),(213,1),(214,1),(225,1),(228,1),(297,1),(308,1),(317,1),(319,1),(324,1),(385,1),(401,1)}
       156:{2,3,5,7}:{(103,1),(104,1),(113,1),(206,1),(213,1),(216,1),(227,1),(298,1),(387,1)}
       157:{2,4,6}:{(104,1),(105,1),(207,1),(216,1)}
       158:{1,3,4,6,7}:{(105,1),(106,1),(107,1),(115,1),(119,1),(198,1),(208,1),(217,1),(219,1),(300,1),(323,1),(327,1),(338,1),(394,1),(401,1)}
       159:{3,4,5,7}:{(108,1),(209,1),(218,1),(323,1),(330,1),(397,1),(440,1)}
       160:{2,4,6,7}:{(107,1),(110,1),(211,1),(219,1)}
       161:{2,4,6}:{(108,1),(109,1),(123,1),(202,1),(218,1)}
       162:{2,3,5,6,7}:{(109,1),(110,1),(124,1),(203,1),(219,1),(221,1),(232,1),(312,1),(321,1),(330,1),(339,1),(395,1),(399,1),(443,1),(453,1)}
       163:{2,3,4}:{(111,1),(222,1)}
       164:{1,3,5}:{(111,1),(112,1),(113,1),(222,1),(224,1)}
       165:{1,2,4,6}:{(112,1),(114,1),(126,1),(224,1),(225,1),(236,1),(332,1)}
       166:{2,3,4,5}:{(113,1),(127,1),(223,1),(226,1),(397,1)}
       167:{2,3,6}:{(113,1),(114,1),(224,1),(227,1)}
       168:{2,4,7}:{(114,1),(115,1),(129,1),(227,1)}
       169:{1,3,5,7}:{(116,1),(117,1),(118,1),(125,1),(228,1),(229,1)}
       170:{1,2,6}:{(117,1),(229,1)}
       171:{2,4,5,7}:{(118,1),(120,1),(127,1),(228,1),(231,1),(239,1),(339,1)}
       172:{2,3,6}:{(118,1),(121,1),(229,1),(231,1)}
       173:{2,6,7}:{(119,1),(129,1)}
       174:{1,3,4,6}:{(120,1),(121,1),(123,1),(218,1),(231,1),(233,1)}
       175:{1,3,6,7}:{(121,1),(122,1),(131,1),(219,1),(232,1),(453,1)}
       176:{1,4,5,6}:{(123,1),(220,1),(233,1),(235,1),(393,1)}
       177:{1,4,6,7}:{(123,1),(124,1),(221,1),(235,1),(401,1)}
       178:{1,4,5}:{(125,1),(127,1),(236,1)}
       179:{1,3,5,6}:{(125,1),(126,1),(128,1),(224,1),(229,1),(236,1),(237,1),(337,1)}
       180:{1,2,5,7}:{(126,1),(129,1),(225,1),(230,1),(237,1),(408,1)}
       181:{2,4,6}:{(127,1),(128,1),(130,1),(236,1),(239,1)}
       182:{2,3,5,7}:{(128,1),(129,1),(131,1),(227,1),(232,1),(237,1),(239,1),(333,1),(339,1),(408,1)}
       183:{1,3,4,5,6}:{(130,1),(233,1),(238,1),(240,1),(322,1),(334,1),(400,1),(439,1)}
       184:{1,3,4,7}:{(130,1),(131,1),(239,1),(323,1),(401,1),(440,1)}
       185:{1,2,3,5}:{(133,1),(241,1),(247,1),(344,1)}
       186:{1,3,4,5}:{(132,1),(243,1),(244,1),(344,1),(349,1)}
       187:{2,3,4,6}:{(132,1),(134,1),(244,1),(245,1),(269,1),(352,1),(412,1)}
       188:{1,2,4,6}:{(133,1),(139,1),(241,1),(246,1),(247,1),(255,1)}
       189:{2,3,4,6}:{(135,1),(140,1),(242,1),(246,1),(248,1),(257,1),(343,1),(347,1),(352,1),(412,1)}
       190:{1,3,5,6}:{(134,1),(137,1),(244,1),(249,1),(250,1)}
       191:{2,3,5,7}:{(134,1),(138,1),(141,1),(245,1),(250,1),(270,1)}
       192:{1,3,5}:{(135,1),(136,1),(248,1)}
       193:{1,2,4,5,6}:{(136,1),(137,1),(143,1),(152,1),(249,1),(252,1),(253,1),(261,1),(265,1),(345,1),(352,1),(358,1),(364,1),(417,1),(424,1),(444,1)}
       194:{1,4,5,7}:{(137,1),(138,1),(144,1),(250,1),(418,1),(421,1)}
       195:{1,3,4,7}:{(139,1),(140,1),(246,1),(254,1),(414,1),(418,1)}
       196:{1,2,5,7}:{(139,1),(247,1),(254,1),(255,1)}
       197:{2,3,5,7}:{(140,1),(142,1),(248,1),(254,1),(256,1),(257,1)}
       198:{1,3,6,7}:{(141,1),(144,1),(250,1),(258,1)}
       199:{1,3,4,5,7}:{(142,1),(145,1),(159,1),(251,1),(256,1),(259,1),(355,1),(360,1)}
       200:{1,3,6}:{(142,1),(143,1),(257,1)}
       201:{1,2,4,6,7}:{(143,1),(144,1),(147,1),(160,1),(253,1),(258,1),(260,1),(262,1),(359,1),(448,1),(450,1),(454,1)}
       202:{1,4,6}:{(145,1),(146,1),(161,1)}
       203:{1,3,5,6,7}:{(146,1),(147,1),(162,1),(260,1),(262,1),(287,1),(360,1),(365,1),(379,1)}
       204:{1,3,4,6}:{(148,1),(149,1),(154,1),(263,1),(264,1),(273,1),(364,1)}
       205:{1,2,5}:{(148,1),(264,1)}
       206:{2,3,5}:{(149,1),(264,1),(266,1)}
       207:{2,5,6}:{(150,1),(157,1),(268,1)}
       208:{1,3,5,7}:{(150,1),(151,1),(153,1),(158,1),(268,1),(270,1),(379,1),(421,1)}
       209:{3,4,5}:{(266,1),(269,1)}
       210:{3,5,6}:{(152,1),(269,1),(270,1)}
       211:{2,4,5,7}:{(152,1),(153,1),(160,1),(268,1),(270,1),(367,1)}
       212:{2,3,4,7}:{(154,1),(163,1),(263,1),(271,1),(343,1),(425,1)}
       213:{1,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(264,1),(271,1),(273,1),(283,1),(344,1),(414,1)}
       214:{1,2,4,6}:{(155,1),(157,1),(170,1),(255,1),(265,1),(273,1),(286,1),(356,1),(364,1),(369,1)}
       215:{2,3,4,5,7}:{(156,1),(159,1),(166,1),(171,1),(256,1),(266,1),(272,1),(275,1),(285,1),(346,1),(367,1),(373,1),(416,1)}
       216:{2,3,6}:{(156,1),(157,1),(273,1)}
       217:{2,4,6,7}:{(157,1),(158,1),(168,1),(173,1),(258,1),(268,1),(276,1),(348,1),(367,1)}
       218:{3,4,6}:{(159,1),(161,1),(277,1)}
       219:{3,6,7}:{(160,1),(270,1)}
       220:{2,4,5,6}:{(161,1),(176,1),(261,1),(277,1),(279,1),(288,1),(358,1)}
       221:{2,4,6,7}:{(161,1),(162,1),(177,1),(262,1),(278,1),(279,1),(367,1),(425,1)}
       222:{2,3,5}:{(163,1),(164,1),(280,1),(281,1)}
       223:{1,3,4,5}:{(164,1),(166,1),(178,1),(280,1),(282,1)}
       224:{1,3,6}:{(164,1),(165,1),(167,1),(281,1),(283,1)}
       225:{1,2,4,7}:{(165,1),(168,1),(180,1),(283,1),(293,1),(376,1)}
       226:{2,3,4,6}:{(166,1),(167,1),(181,1),(282,1),(284,1),(285,1),(423,1)}
       227:{2,3,7}:{(167,1),(168,1),(283,1)}
       228:{1,4,5,7}:{(169,1),(171,1),(178,1),(286,1),(293,1),(379,1)}
       229:{1,3,6}:{(169,1),(170,1),(172,1),(286,1)}
       230:{1,2,6,7}:{(170,1),(173,1),(180,1),(287,1),(430,1)}
       231:{2,4,6}:{(171,1),(172,1),(174,1),(286,1),(288,1)}
       232:{2,3,6,7}:{(172,1),(173,1),(175,1),(182,1),(287,1),(289,1),(430,1)}
       233:{1,3,5,6}:{(174,1),(176,1),(277,1),(288,1),(290,1)}
       234:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(184,1),(278,1),(289,1),(290,1)}
       235:{1,4,5,7}:{(176,1),(177,1),(279,1),(290,1),(421,1)}
       236:{1,4,6}:{(178,1),(179,1),(181,1),(293,1)}
       237:{1,3,5,7}:{(179,1),(180,1),(182,1),(283,1),(287,1),(293,1),(379,1)}
       238:{2,4,5,6}:{(181,1),(183,1),(284,1),(288,1),(292,1),(294,1),(375,1)}
       239:{2,4,7}:{(181,1),(182,1),(184,1),(293,1)}
       240:{1,3,4,5,7}:{(183,1),(184,1),(290,1),(294,1),(295,1),(368,1),(377,1),(426,1),(449,1)}
       241:{1,2,4}:{(185,1),(296,1)}
       242:{2,3,4}:{(296,1),(298,1)}
       243:{2,4,5}:{(186,1),(298,1),(299,1)}
       244:{1,3,4,6}:{(186,1),(187,1),(190,1),(299,1),(300,1),(384,1),(388,1)}
       245:{2,3,4,7}:{(187,1),(191,1),(300,1),(323,1),(391,1),(432,1)}
       246:{1,3,4,6}:{(188,1),(189,1),(195,1),(296,1),(301,1),(309,1),(384,1),(388,1)}
       247:{1,2,5}:{(188,1),(301,1)}
       248:{2,3,5}:{(189,1),(192,1),(301,1),(303,1)}
       249:{2,5,6}:{(190,1),(299,1),(305,1)}
       250:{1,3,5,7}:{(190,1),(191,1),(194,1),(198,1),(300,1),(305,1)}
       251:{1,3,4,5}:{(192,1),(209,1),(303,1),(306,1),(317,1),(397,1)}
       252:{1,3,5,6}:{(192,1),(193,1),(200,1),(210,1),(304,1),(306,1),(307,1),(384,1),(439,1)}
       253:{1,2,4,5,7}:{(193,1),(194,1),(201,1),(211,1),(305,1),(307,1),(315,1),(319,1),(385,1),(391,1),(395,1),(401,1),(436,1),(441,1),(451,1)}
       254:{1,3,5,7}:{(195,1),(196,1),(197,1),(301,1),(308,1),(309,1)}
       255:{1,2,6}:{(196,1),(309,1)}
       256:{2,4,5,7}:{(197,1),(199,1),(303,1),(308,1),(311,1),(391,1),(395,1)}
       257:{2,3,6}:{(197,1),(200,1),(309,1),(311,1)}
       258:{2,6,7}:{(198,1),(305,1)}
       259:{1,3,4,6}:{(199,1),(200,1),(202,1),(218,1),(311,1),(313,1)}
       260:{1,3,6,7}:{(200,1),(201,1),(219,1),(307,1),(312,1),(453,1)}
       261:{1,4,5,6}:{(202,1),(220,1),(313,1),(315,1),(337,1)}
       262:{1,4,6,7}:{(202,1),(203,1),(221,1),(315,1),(401,1)}
       263:{2,3,4,6}:{(204,1),(212,1),(316,1),(325,1),(398,1)}
       264:{1,3,5}:{(204,1),(205,1),(206,1),(316,1),(317,1)}
       265:{1,2,5,6}:{(205,1),(207,1),(214,1),(318,1),(319,1),(337,1),(393,1),(404,1)}
       266:{2,4,5}:{(206,1),(209,1),(317,1),(320,1)}
       267:{2,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(318,1),(320,1),(321,1)}
       268:{2,5,7}:{(207,1),(208,1),(217,1)}
       269:{3,4,6}:{(209,1),(210,1),(320,1),(323,1)}
       270:{3,5,7}:{(210,1),(211,1),(219,1),(323,1)}
       271:{2,3,5,7}:{(212,1),(213,1),(222,1),(316,1),(324,1),(325,1),(333,1),(382,1),(432,1)}
       272:{1,3,4,5,7}:{(213,1),(215,1),(223,1),(228,1),(308,1),(317,1),(324,1),(326,1),(335,1),(383,1),(397,1),(401,1),(406,1),(434,1),(440,1)}
       273:{1,3,6}:{(213,1),(214,1),(216,1),(325,1)}
       274:{1,2,4,6,7}:{(214,1),(217,1),(225,1),(230,1),(310,1),(319,1),(327,1),(338,1),(385,1),(394,1),(401,1),(405,1)}
       275:{2,3,4,6}:{(215,1),(216,1),(218,1),(231,1),(311,1),(320,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(216,1),(217,1),(219,1),(227,1),(321,1),(327,1),(387,1)}
       277:{3,5,6}:{(218,1),(220,1),(330,1)}
       278:{3,4,6,7}:{(218,1),(219,1),(221,1),(323,1),(330,1),(440,1),(453,1)}
       279:{2,4,5,7}:{(220,1),(221,1),(235,1),(315,1),(330,1),(339,1),(395,1)}
       280:{2,4,5}:{(222,1),(223,1),(332,1)}
       281:{2,3,6}:{(222,1),(224,1),(332,1),(333,1)}
       282:{1,3,4,6}:{(223,1),(224,1),(226,1),(236,1),(332,1),(334,1),(335,1)}
       283:{1,3,7}:{(224,1),(225,1),(227,1),(333,1)}
       284:{2,3,5,6}:{(226,1),(238,1),(334,1),(336,1),(439,1)}
       285:{2,3,4,7}:{(226,1),(227,1),(239,1),(335,1),(336,1),(440,1)}
       286:{1,4,6}:{(228,1),(229,1),(231,1),(337,1)}
       287:{1,3,6,7}:{(229,1),(230,1),(232,1),(237,1),(338,1)}
       288:{2,5,6}:{(231,1),(233,1),(337,1),(339,1)}
       289:{2,4,6,7}:{(231,1),(232,1),(234,1),(239,1),(338,1),(339,1)}
       290:{1,3,5,7}:{(233,1),(234,1),(235,1),(330,1),(339,1)}
       291:{1,4,5,6,7}:{(235,1),(331,1),(340,1),(438,1),(442,1)}
       292:{1,4,5,6}:{(236,1),(238,1),(334,1),(337,1),(341,1)}
       293:{1,4,7}:{(236,1),(237,1),(239,1)}
       294:{2,4,5,7}:{(238,1),(239,1),(240,1),(336,1),(339,1),(341,1),(342,1),(408,1)}
       295:{1,3,4,6,7}:{(240,1),(340,1),(342,1),(403,1),(409,1),(442,1),(453,1)}
       296:{1,3,4}:{(241,1),(242,1),(343,1),(344,1)}
       297:{1,2,4,5}:{(241,1),(243,1),(247,1),(344,1),(345,1),(349,1),(411,1)}
       298:{2,3,5}:{(242,1),(243,1),(344,1),(347,1)}
       299:{2,4,6}:{(243,1),(244,1),(249,1),(347,1),(348,1)}
       300:{1,3,4,7}:{(244,1),(245,1),(250,1),(348,1),(414,1),(418,1)}
       301:{1,3,5}:{(246,1),(247,1),(248,1),(349,1)}
       302:{1,2,5,6}:{(247,1),(249,1),(255,1),(345,1),(350,1),(351,1),(444,1)}
       303:{2,4,5}:{(248,1),(251,1),(349,1),(352,1)}
       304:{2,3,5,6}:{(248,1),(249,1),(252,1),(257,1),(347,1),(350,1),(352,1),(353,1),(358,1),(412,1),(444,1)}
       305:{2,5,7}:{(249,1),(250,1),(258,1),(348,1)}
       306:{1,3,4,6}:{(251,1),(252,1),(269,1),(352,1),(355,1),(364,1),(423,1)}
       307:{1,3,5,7}:{(252,1),(253,1),(260,1),(270,1),(353,1),(355,1),(414,1),(449,1)}
       308:{1,4,5,7}:{(254,1),(256,1),(349,1),(356,1),(418,1),(421,1)}
       309:{1,3,6}:{(254,1),(255,1),(257,1),(356,1)}
       310:{1,2,6,7}:{(255,1),(258,1),(351,1),(357,1),(454,1)}
       311:{2,4,6}:{(256,1),(257,1),(259,1),(356,1),(358,1)}
       312:{2,3,6,7}:{(257,1),(258,1),(260,1),(353,1),(357,1),(359,1),(454,1)}
       313:{1,3,5,6}:{(259,1),(261,1),(277,1),(358,1),(360,1)}
       314:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(278,1),(355,1),(359,1),(360,1)}
       315:{1,4,5,7}:{(261,1),(262,1),(279,1),(360,1),(379,1)}
       316:{2,3,5}:{(263,1),(264,1),(362,1)}
       317:{1,4,5}:{(264,1),(266,1),(362,1),(364,1)}
       318:{1,3,5,6}:{(264,1),(265,1),(267,1),(273,1),(363,1),(364,1),(365,1)}
       319:{1,2,5,7}:{(265,1),(268,1),(274,1),(365,1),(379,1),(421,1),(428,1)}
       320:{2,4,6}:{(266,1),(267,1),(269,1),(364,1),(367,1)}
       321:{2,3,5,7}:{(267,1),(268,1),(270,1),(276,1),(365,1),(367,1)}
       322:{3,4,5,6}:{(269,1),(277,1),(366,1),(368,1)}
       323:{3,4,7}:{(269,1),(270,1),(367,1)}
       324:{2,4,5,7}:{(271,1),(272,1),(280,1),(362,1),(369,1),(376,1),(411,1),(425,1),(428,1),(445,1)}
       325:{2,3,6}:{(271,1),(273,1),(369,1)}
       326:{1,3,4,6}:{(272,1),(273,1),(275,1),(286,1),(356,1),(364,1),(369,1),(371,1),(423,1)}
       327:{1,3,6,7}:{(273,1),(274,1),(276,1),(283,1),(365,1),(370,1),(414,1)}
       328:{2,3,5,6}:{(275,1),(277,1),(288,1),(358,1),(366,1),(371,1),(373,1)}
       329:{2,3,4,6,7}:{(275,1),(276,1),(278,1),(285,1),(289,1),(359,1),(367,1),(372,1),(373,1),(378,1),(416,1),(427,1),(447,1)}
       330:{3,5,7}:{(277,1),(278,1),(279,1)}
       331:{2,4,5,6,7}:{(279,1),(291,1),(361,1),(374,1),(380,1),(422,1),(427,1),(450,1)}
       332:{2,4,6}:{(280,1),(281,1),(282,1),(375,1),(376,1)}
       333:{2,3,7}:{(281,1),(283,1),(376,1)}
       334:{1,3,5,6}:{(282,1),(284,1),(292,1),(375,1),(377,1)}
       335:{1,3,4,7}:{(282,1),(283,1),(285,1),(293,1),(376,1),(377,1)}
       336:{2,3,5,7}:{(284,1),(285,1),(294,1),(377,1),(378,1),(449,1)}
       337:{1,5,6}:{(286,1),(288,1),(379,1)}
       338:{1,4,6,7}:{(286,1),(287,1),(289,1),(293,1),(379,1)}
       339:{2,5,7}:{(288,1),(289,1),(290,1),(379,1)}
       340:{1,3,5,6,7}:{(290,1),(291,1),(295,1),(374,1),(380,1)}
       341:{1,4,5,7}:{(292,1),(293,1),(294,1),(377,1),(379,1),(381,1)}
       342:{2,4,6,7}:{(294,1),(295,1),(378,1),(380,1),(381,1),(430,1)}
       343:{2,3,4}:{(296,1),(382,1)}
       344:{1,3,5}:{(296,1),(297,1),(298,1),(382,1),(384,1)}
       345:{1,2,4,6}:{(297,1),(299,1),(302,1),(384,1),(385,1),(388,1),(431,1)}
       346:{2,3,4,5}:{(298,1),(303,1),(383,1),(386,1),(397,1)}
       347:{2,3,6}:{(298,1),(299,1),(384,1),(387,1)}
       348:{2,4,7}:{(299,1),(300,1),(305,1),(387,1)}
       349:{1,4,5}:{(301,1),(303,1),(388,1)}
       350:{1,3,5,6}:{(301,1),(302,1),(304,1),(309,1),(384,1),(388,1),(389,1),(393,1)}
       351:{1,2,5,7}:{(302,1),(305,1),(310,1),(385,1),(389,1),(451,1)}
       352:{2,4,6}:{(303,1),(304,1),(306,1),(388,1),(391,1)}
       353:{2,3,5,7}:{(304,1),(305,1),(307,1),(312,1),(387,1),(389,1),(391,1),(395,1),(432,1),(451,1)}
       354:{1,3,4,5,6}:{(306,1),(313,1),(322,1),(390,1),(392,1),(400,1),(433,1),(439,1)}
       355:{1,3,4,7}:{(306,1),(307,1),(323,1),(391,1),(401,1),(440,1)}
       356:{1,4,6}:{(308,1),(309,1),(311,1),(393,1)}
       357:{1,3,6,7}:{(309,1),(310,1),(312,1),(389,1),(394,1)}
       358:{2,5,6}:{(311,1),(313,1),(393,1),(395,1)}
       359:{2,4,6,7}:{(311,1),(312,1),(314,1),(391,1),(394,1),(395,1)}
       360:{1,3,5,7}:{(313,1),(314,1),(315,1),(330,1),(395,1)}
       361:{1,4,5,6,7}:{(315,1),(331,1),(396,1),(410,1),(442,1)}
       362:{2,4,5}:{(316,1),(317,1),(397,1),(398,1)}
       363:{2,3,5,6}:{(316,1),(318,1),(325,1),(398,1),(399,1),(404,1),(439,1)}
       364:{1,4,6}:{(317,1),(318,1),(320,1),(398,1),(401,1)}
       365:{1,3,5,7}:{(318,1),(319,1),(321,1),(327,1),(399,1),(401,1)}
       366:{2,4,5,6}:{(320,1),(322,1),(328,1),(400,1),(402,1)}
       367:{2,4,7}:{(320,1),(321,1),(323,1),(401,1)}
       368:{3,4,5,7}:{(322,1),(323,1),(330,1),(402,1),(403,1)}
       369:{2,4,6}:{(324,1),(325,1),(326,1),(404,1)}
       370:{2,3,6,7}:{(325,1),(327,1),(333,1),(399,1),(405,1),(432,1),(453,1)}
       371:{1,3,5,6}:{(326,1),(328,1),(337,1),(393,1),(400,1),(404,1),(406,1),(439,1)}
       372:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(335,1),(338,1),(394,1),(401,1),(405,1),(406,1),(409,1),(434,1),(440,1),(442,1),(452,1),(453,1)}
       373:{2,3,5,7}:{(328,1),(329,1),(330,1),(339,1),(395,1),(402,1),(406,1)}
       374:{3,5,6,7}:{(330,1),(331,1),(403,1),(453,1)}
       375:{2,5,6}:{(332,1),(334,1),(408,1)}
       376:{2,4,7}:{(332,1),(333,1),(335,1),(408,1)}
       377:{1,3,5,7}:{(334,1),(335,1),(336,1),(341,1),(408,1),(409,1)}
       378:{2,3,6,7}:{(336,1),(342,1),(409,1),(453,1)}
       379:{1,5,7}:{(337,1),(338,1),(339,1)}
       380:{2,5,6,7}:{(339,1),(340,1),(342,1),(410,1)}
       381:{1,4,6,7}:{(341,1),(342,1),(409,1),(410,1)}
       382:{2,3,5}:{(343,1),(344,1),(411,1),(412,1)}
       383:{1,3,4,5}:{(344,1),(346,1),(349,1),(411,1),(413,1)}
       384:{1,3,6}:{(344,1),(345,1),(347,1),(412,1),(414,1)}
       385:{1,2,4,7}:{(345,1),(348,1),(351,1),(414,1),(418,1),(445,1)}
       386:{2,3,4,6}:{(346,1),(347,1),(352,1),(413,1),(415,1),(416,1),(423,1)}
       387:{2,3,7}:{(347,1),(348,1),(414,1)}
       388:{1,4,6}:{(349,1),(350,1),(352,1),(418,1)}
       389:{1,3,5,7}:{(350,1),(351,1),(353,1),(357,1),(414,1),(418,1),(421,1)}
       390:{2,4,5,6}:{(352,1),(354,1),(358,1),(415,1),(417,1),(419,1),(444,1)}
       391:{2,4,7}:{(352,1),(353,1),(355,1),(418,1)}
       392:{1,3,4,5,7}:{(354,1),(355,1),(360,1),(368,1),(419,1),(420,1),(426,1),(446,1),(449,1)}
       393:{1,5,6}:{(356,1),(358,1),(421,1)}
       394:{1,4,6,7}:{(356,1),(357,1),(359,1),(418,1),(421,1)}
       395:{2,5,7}:{(358,1),(359,1),(360,1),(421,1)}
       396:{1,3,5,6,7}:{(360,1),(361,1),(374,1),(420,1),(422,1)}
       397:{3,4,5}:{(362,1),(423,1)}
       398:{2,4,6}:{(362,1),(363,1),(364,1),(423,1),(425,1)}
       399:{2,3,5,7}:{(363,1),(365,1),(370,1),(425,1),(428,1),(449,1)}
       400:{1,4,5,6}:{(364,1),(366,1),(371,1),(424,1),(426,1)}
       401:{1,4,7}:{(364,1),(365,1),(367,1),(425,1)}
       402:{2,4,5,7}:{(366,1),(367,1),(368,1),(373,1),(426,1),(427,1)}
       403:{3,4,6,7}:{(368,1),(374,1),(427,1)}
       404:{2,5,6}:{(369,1),(371,1),(428,1)}
       405:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(425,1),(428,1),(430,1),(445,1),(454,1)}
       406:{1,3,5,7}:{(371,1),(372,1),(373,1),(379,1),(421,1),(426,1),(428,1),(449,1)}
       407:{2,3,5,6,7}:{(373,1),(374,1),(378,1),(380,1),(422,1),(427,1),(429,1),(447,1)}
       408:{2,5,7}:{(375,1),(376,1),(377,1),(430,1)}
       409:{1,3,6,7}:{(377,1),(378,1),(381,1),(430,1)}
       410:{1,5,6,7}:{(379,1),(380,1),(381,1)}
       411:{2,4,5}:{(382,1),(383,1),(431,1)}
       412:{2,3,6}:{(382,1),(384,1),(431,1),(432,1)}
       413:{1,3,4,6}:{(383,1),(384,1),(386,1),(388,1),(431,1),(433,1),(434,1)}
       414:{1,3,7}:{(384,1),(385,1),(387,1),(432,1)}
       415:{2,3,5,6}:{(386,1),(390,1),(433,1),(435,1),(439,1)}
       416:{2,3,4,7}:{(386,1),(387,1),(391,1),(434,1),(435,1),(440,1)}
       417:{1,4,5,6}:{(388,1),(390,1),(393,1),(433,1),(436,1)}
       418:{1,4,7}:{(388,1),(389,1),(391,1)}
       419:{2,4,5,7}:{(390,1),(391,1),(392,1),(395,1),(435,1),(436,1),(437,1),(451,1)}
       420:{1,3,4,6,7}:{(392,1),(396,1),(403,1),(437,1),(442,1),(452,1),(453,1)}
       421:{1,5,7}:{(393,1),(394,1),(395,1)}
       422:{2,5,6,7}:{(395,1),(396,1),(437,1),(438,1)}
       423:{3,4,6}:{(397,1),(398,1),(439,1),(440,1)}
       424:{2,4,5,6}:{(398,1),(400,1),(404,1),(439,1),(441,1)}
       425:{2,4,7}:{(398,1),(399,1),(401,1),(440,1)}
       426:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(441,1),(442,1)}
       427:{2,4,6,7}:{(402,1),(403,1),(407,1),(442,1)}
       428:{2,5,7}:{(404,1),(405,1),(406,1)}
       429:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(438,1),(442,1),(443,1),(452,1),(453,1)}
       430:{2,6,7}:{(408,1),(409,1)}
       431:{2,4,6}:{(411,1),(412,1),(413,1),(444,1),(445,1)}
       432:{2,3,7}:{(412,1),(414,1),(445,1)}
       433:{1,3,5,6}:{(413,1),(415,1),(417,1),(444,1),(446,1)}
       434:{1,3,4,7}:{(413,1),(414,1),(416,1),(418,1),(445,1),(446,1)}
       435:{2,3,5,7}:{(415,1),(416,1),(419,1),(446,1),(447,1),(449,1)}
       436:{1,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(446,1),(448,1)}
       437:{2,4,6,7}:{(419,1),(420,1),(422,1),(447,1),(448,1),(454,1)}
       438:{1,5,6,7}:{(421,1),(422,1),(448,1)}
       439:{3,5,6}:{(423,1),(424,1),(449,1)}
       440:{3,4,7}:{(423,1),(425,1),(449,1)}
       441:{2,4,5,7}:{(424,1),(425,1),(426,1),(428,1),(449,1),(450,1)}
       442:{1,4,6,7}:{(426,1),(427,1),(429,1),(450,1)}
       443:{2,5,6,7}:{(428,1),(429,1),(430,1),(450,1),(454,1)}
       444:{2,5,6}:{(431,1),(433,1),(451,1)}
       445:{2,4,7}:{(431,1),(432,1),(434,1),(451,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(435,1),(436,1),(451,1),(452,1)}
       447:{2,3,6,7}:{(435,1),(437,1),(452,1),(453,1)}
       448:{1,4,6,7}:{(436,1),(437,1),(438,1),(452,1)}
       449:{3,5,7}:{(439,1),(440,1),(441,1),(453,1)}
       450:{2,4,6,7}:{(441,1),(442,1),(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       452:{1,3,6,7}:{(446,1),(447,1),(448,1),(454,1)}
       453:{3,6,7}:{(449,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2531 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(82,1),(90,1),(92,1),(95,1),(148,1),(189,1),(193,1),(226,1),(227,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(109,1),(122,1),(165,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(110,1),(119,1),(165,1),(171,1),(211,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(112,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(81,1),(138,1),(145,1),(190,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(141,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(226,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(19,1),(20,1),(67,1),(107,1),(123,1),(164,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(21,1),(25,1),(56,1),(58,1),(65,1),(107,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(211,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(211,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(236,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,2,4,5,6}:{(32,1),(33,1),(76,1),(78,1),(135,1),(137,1),(151,1),(179,1),(183,1),(185,1),(193,1),(198,1),(221,1),(229,1),(244,1)}
        19:{1,3,5,6,7}:{(9,1),(10,1),(34,1),(35,1),(44,1),(79,1),(93,1),(145,1),(152,1)}
        20:{1,2,4,6,7}:{(9,1),(32,1),(34,1),(35,1),(80,1),(185,1),(193,1),(221,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(34,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(138,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(18,1),(20,1),(51,1),(54,1),(101,1),(107,1),(123,1),(160,1),(171,1),(177,1),(200,1),(204,1)}
        33:{1,3,5,6}:{(18,1),(51,1),(52,1),(53,1),(157,1),(202,1),(203,1),(213,1),(237,1)}
        34:{1,4,6,7}:{(19,1),(21,1),(54,1),(170,1),(177,1)}
        35:{1,3,6,7}:{(20,1),(51,1),(56,1),(203,1),(213,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(57,1),(58,1),(65,1),(107,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(112,1),(118,1),(127,1),(169,1),(212,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(164,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(169,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,3,4,6}:{(33,1),(73,1),(75,1),(76,1),(198,1),(228,1)}
        53:{2,3,5,6}:{(33,1),(74,1),(76,1),(77,1),(129,1),(137,1),(180,1),(183,1),(184,1),(221,1)}
        54:{1,4,5,7}:{(34,1),(36,1),(78,1),(79,1),(93,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(73,1),(79,1),(80,1),(131,1)}
        56:{2,3,6,7}:{(35,1),(74,1),(80,1),(81,1),(180,1),(221,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(78,1),(84,1),(92,1),(137,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(80,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(180,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(141,1),(192,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(227,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(192,1),(227,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(52,1),(101,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(56,1),(101,1),(102,1),(107,1),(204,1),(205,1)}
        75:{1,3,4,5}:{(52,1),(103,1),(157,1),(209,1),(217,1),(237,1)}
        76:{2,4,6}:{(52,1),(53,1),(101,1),(103,1),(104,1)}
        77:{1,3,5,6}:{(53,1),(102,1),(104,1),(105,1),(157,1),(163,1),(164,1),(203,1)}
        78:{1,4,5,6}:{(54,1),(57,1),(106,1),(122,1),(170,1),(236,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(58,1),(106,1),(107,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(101,1),(107,1),(108,1),(159,1)}
        81:{1,3,6,7}:{(56,1),(102,1),(108,1),(109,1),(203,1)}
        82:{1,2,4,6}:{(63,1),(110,1),(111,1),(112,1),(167,1),(169,1),(212,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(107,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(108,1),(116,1),(117,1),(118,1),(124,1),(156,1),(166,1),(170,1),(177,1),(178,1),(203,1),(211,1),(212,1),(213,1),(214,1),(235,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(112,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{2,3,4,6}:{(76,1),(128,1),(129,1),(130,1),(180,1),(184,1),(223,1),(228,1),(240,1)}
       100:{1,3,4,5,7}:{(73,1),(75,1),(79,1),(83,1),(131,1),(132,1),(144,1),(181,1),(194,1),(225,1),(241,1)}
       101:{2,4,7}:{(73,1),(74,1),(76,1),(133,1)}
       102:{1,3,5,7}:{(74,1),(77,1),(81,1),(133,1),(134,1),(138,1),(187,1)}
       103:{2,4,5}:{(75,1),(76,1),(129,1),(135,1),(183,1),(223,1)}
       104:{1,4,6}:{(76,1),(77,1),(133,1),(135,1)}
       105:{1,2,5,6}:{(77,1),(134,1),(136,1),(183,1),(221,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(84,1),(131,1),(137,1),(241,1)}
       107:{2,5,7}:{(79,1),(80,1),(137,1),(138,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(133,1),(138,1),(185,1)}
       109:{1,2,6,7}:{(81,1),(134,1),(221,1)}
       110:{1,2,4,7}:{(82,1),(89,1),(140,1),(141,1),(192,1)}
       111:{1,2,5}:{(82,1),(90,1),(142,1),(227,1)}
       112:{1,3,6}:{(82,1),(91,1),(141,1),(142,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(137,1),(143,1),(145,1),(180,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(138,1),(144,1),(145,1),(146,1),(194,1),(199,1),(227,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(182,1),(193,1),(196,1),(197,1),(221,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(141,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(142,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(227,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(99,1),(101,1),(155,1),(156,1),(205,1),(214,1),(234,1)}
       129:{2,3,5}:{(99,1),(103,1),(157,1),(237,1),(243,1)}
       130:{1,3,4,6}:{(99,1),(104,1),(156,1),(157,1),(158,1),(163,1),(202,1),(203,1),(209,1),(232,1),(242,1)}
       131:{1,3,4,6}:{(100,1),(106,1),(113,1),(159,1),(170,1),(203,1),(213,1)}
       132:{2,4,5,7}:{(100,1),(101,1),(103,1),(107,1),(155,1),(159,1),(160,1),(204,1),(234,1),(243,1)}
       133:{1,4,7}:{(101,1),(102,1),(104,1)}
       134:{1,2,5,7}:{(102,1),(105,1),(109,1),(161,1),(204,1)}
       135:{1,4,5}:{(103,1),(104,1),(157,1),(232,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(158,1),(161,1),(162,1),(163,1)}
       137:{2,5,6}:{(106,1),(107,1),(159,1),(164,1),(243,1)}
       138:{1,5,7}:{(107,1),(108,1),(164,1)}
       139:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(117,1),(161,1),(165,1),(166,1),(167,1),(207,1),(211,1),(212,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(119,1),(167,1),(168,1)}
       141:{1,3,7}:{(110,1),(112,1),(120,1)}
       142:{1,3,5}:{(111,1),(112,1),(121,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(211,1),(217,1),(236,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(164,1),(170,1),(172,1),(203,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(166,1),(173,1),(174,1),(205,1),(213,1),(233,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(168,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(169,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(129,1),(132,1),(180,1),(181,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(130,1),(133,1),(181,1),(182,1),(187,1),(219,1),(239,1)}
       157:{1,3,5}:{(129,1),(130,1),(135,1),(183,1),(244,1)}
       158:{2,4,6}:{(130,1),(182,1),(183,1),(184,1),(221,1),(223,1)}
       159:{2,4,6}:{(131,1),(132,1),(137,1),(180,1),(185,1),(221,1)}
       160:{1,4,5,7}:{(132,1),(133,1),(135,1),(138,1),(181,1),(185,1),(239,1),(244,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(136,1),(182,1),(187,1)}
       162:{1,2,4,5}:{(135,1),(136,1),(183,1),(188,1),(223,1)}
       163:{1,3,6}:{(136,1),(184,1),(187,1),(188,1)}
       164:{1,5,6}:{(137,1),(138,1),(185,1),(244,1)}
       165:{1,2,5,7}:{(138,1),(139,1),(146,1),(189,1),(190,1),(227,1)}
       166:{1,3,6,7}:{(139,1),(141,1),(147,1),(187,1),(190,1),(191,1),(224,1)}
       167:{1,2,6}:{(140,1),(148,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(142,1),(149,1),(191,1),(192,1),(227,1)}
       169:{1,4}:{(142,1),(150,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(221,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(190,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(191,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(192,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{1,2,4,6}:{(158,1),(200,1),(201,1),(202,1),(230,1),(232,1),(242,1)}
       180:{2,3,6}:{(155,1),(159,1),(203,1),(213,1)}
       181:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(203,1),(204,1)}
       182:{2,4,7}:{(156,1),(158,1),(204,1),(205,1)}
       183:{2,5}:{(157,1),(158,1)}
       184:{2,3,6}:{(158,1),(163,1),(202,1),(205,1),(206,1)}
       185:{1,4,6}:{(159,1),(160,1),(164,1),(203,1)}
       186:{1,2,4,5,7}:{(160,1),(161,1),(162,1),(165,1),(171,1),(204,1),(207,1),(208,1),(211,1),(234,1),(236,1),(243,1)}
       187:{1,3,7}:{(161,1),(163,1),(205,1)}
       188:{1,3,5}:{(162,1),(163,1),(206,1),(209,1)}
       189:{1,2,5,6}:{(164,1),(165,1),(167,1),(172,1),(207,1),(210,1),(243,1)}
       190:{1,3,5,7}:{(165,1),(166,1),(173,1),(210,1),(211,1)}
       191:{1,3,6}:{(167,1),(168,1),(174,1),(212,1)}
       192:{1,4,7}:{(168,1),(169,1),(175,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(210,1),(213,1),(215,1),(216,1),(233,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(211,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(212,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(179,1),(182,1),(218,1),(219,1),(239,1)}
       201:{1,2,5}:{(179,1),(183,1),(220,1),(244,1)}
       202:{1,3,6}:{(179,1),(184,1),(219,1),(220,1)}
       203:{1,3,6}:{(180,1),(181,1),(185,1),(221,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(221,1)}
       205:{2,3,7}:{(182,1),(184,1),(187,1),(219,1)}
       206:{2,3,5}:{(183,1),(184,1),(188,1),(220,1),(223,1)}
       207:{1,2,4,6}:{(185,1),(186,1),(189,1),(193,1),(221,1),(224,1),(226,1),(240,1)}
       208:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(222,1),(224,1),(225,1),(241,1)}
       209:{1,3,4}:{(188,1),(223,1)}
       210:{1,3,5,6}:{(189,1),(190,1),(191,1),(195,1),(224,1),(226,1),(227,1),(241,1)}
       211:{1,4,7}:{(190,1),(196,1),(226,1)}
       212:{1,4,6}:{(191,1),(192,1),(197,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(227,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(201,1),(204,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(202,1),(205,1)}
       220:{1,3,5}:{(201,1),(202,1),(206,1),(232,1)}
       221:{2,6}:{(203,1),(204,1)}
       222:{2,3,5,7}:{(204,1),(205,1),(206,1),(208,1),(231,1),(233,1),(234,1),(243,1)}
       223:{2,4}:{(206,1),(209,1),(232,1)}
       224:{1,3,6}:{(207,1),(208,1),(213,1),(233,1)}
       225:{1,3,4,7}:{(208,1),(209,1),(211,1),(214,1),(234,1),(235,1)}
       226:{1,4,6}:{(210,1),(211,1),(215,1),(236,1)}
       227:{1,5}:{(212,1),(216,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(236,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(221,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(220,1),(222,1),(238,1),(239,1),(244,1)}
       232:{1,4}:{(220,1),(223,1)}
       233:{2,3,6}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{2,4,7}:{(222,1),(223,1),(225,1),(239,1),(240,1)}
       235:{1,3,4,6}:{(224,1),(225,1),(226,1),(228,1),(240,1),(241,1)}
       236:{1,4,5}:{(226,1),(227,1),(229,1),(241,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(233,1),(242,1)}
       239:{1,4,7}:{(231,1),(232,1),(234,1),(242,1)}
       240:{2,4,6}:{(233,1),(234,1),(235,1),(242,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2532 :   0:{1,2,5,6,7}:{(3,1),(4,1),(49,1),(51,1),(92,1),(93,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(3,1),(5,1),(19,1),(21,1),(49,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,2,4,5,6}:{(7,1),(8,1),(28,1),(30,1),(68,1),(70,1),(104,1),(108,1),(110,1),(114,1),(116,1),(139,1),(146,1),(151,1),(153,1),(166,1),(174,1)}
         3:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(9,1),(10,1),(31,1),(33,1),(71,1),(75,1),(101,1),(115,1)}
         4:{1,2,4,6,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(110,1),(116,1),(139,1),(146,1)}
         5:{2,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(3,1),(13,1),(19,1),(39,1),(49,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(2,1),(4,1),(14,1),(17,1),(43,1),(49,1),(88,1),(93,1),(96,1),(121,1),(124,1),(128,1),(135,1)}
         8:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(85,1),(126,1),(127,1),(136,1),(154,1),(164,1),(171,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(13,1),(17,1),(95,1),(120,1),(135,1)}
        10:{1,3,6,7}:{(4,1),(14,1),(19,1),(127,1),(136,1),(154,1)}
        11:{2,4,5,7}:{(5,1),(17,1),(20,1),(21,1),(49,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(9,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,3,4,6}:{(8,1),(25,1),(27,1),(28,1),(151,1),(152,1),(165,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(62,1),(70,1),(105,1),(108,1),(109,1),(146,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(23,1),(30,1),(31,1),(71,1)}
        18:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(24,1),(25,1),(31,1),(32,1),(64,1)}
        19:{2,3,6,7}:{(10,1),(26,1),(32,1),(33,1),(105,1),(146,1)}
        20:{2,4,5,6}:{(11,1),(30,1),(35,1),(70,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(32,1),(36,1),(37,1),(61,1),(73,1),(103,1),(105,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(17,1),(38,1),(39,1),(49,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(15,1),(43,1),(135,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(16,1),(19,1),(43,1),(44,1),(49,1),(128,1),(129,1)}
        27:{1,3,4,5}:{(15,1),(45,1),(85,1),(133,1),(163,1),(164,1),(171,1)}
        28:{2,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1)}
        29:{1,3,5,6}:{(16,1),(44,1),(46,1),(47,1),(85,1),(91,1),(92,1),(127,1)}
        30:{1,4,5,6}:{(17,1),(20,1),(38,1),(48,1),(92,1),(95,1),(120,1),(163,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(21,1),(39,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(50,1),(87,1)}
        33:{1,3,6,7}:{(19,1),(44,1),(50,1),(51,1),(127,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(49,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(50,1),(55,1),(56,1),(84,1),(94,1),(95,1),(127,1),(135,1),(136,1),(137,1),(162,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(30,1),(58,1),(70,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(32,1),(59,1),(60,1),(61,1),(77,1),(99,1),(105,1),(119,1),(152,1),(169,1)}
        41:{2,3,4,6}:{(28,1),(61,1),(62,1),(63,1),(105,1),(109,1),(148,1),(152,1),(165,1),(169,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(31,1),(34,1),(57,1),(64,1),(65,1),(74,1),(100,1),(106,1),(117,1),(140,1),(150,1),(170,1)}
        43:{2,4,7}:{(25,1),(26,1),(28,1),(66,1)}
        44:{1,3,5,7}:{(26,1),(29,1),(33,1),(66,1),(67,1),(71,1),(112,1)}
        45:{2,4,5}:{(27,1),(28,1),(62,1),(68,1),(108,1),(148,1)}
        46:{1,4,6}:{(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,5,6}:{(29,1),(67,1),(69,1),(108,1),(146,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(35,1),(58,1),(64,1),(70,1),(170,1)}
        49:{2,5,7}:{(31,1),(32,1),(70,1),(71,1)}
        50:{1,4,6,7}:{(32,1),(33,1),(66,1),(71,1),(110,1)}
        51:{1,2,6,7}:{(33,1),(67,1),(146,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(70,1),(73,1),(75,1),(105,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(71,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(107,1),(116,1),(119,1),(146,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(49,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(50,1),(81,1),(82,1),(84,1),(94,1),(120,1),(127,1),(135,1),(154,1),(155,1),(162,1),(172,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(83,1),(84,1),(129,1),(137,1),(155,1),(161,1)}
        62:{2,3,5}:{(41,1),(45,1),(85,1),(164,1),(171,1),(173,1)}
        63:{1,3,4,6}:{(41,1),(46,1),(84,1),(85,1),(86,1),(91,1),(126,1),(127,1),(133,1),(159,1),(172,1)}
        64:{1,3,4,6}:{(42,1),(48,1),(52,1),(78,1),(87,1),(95,1),(120,1),(127,1),(136,1),(154,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(49,1),(83,1),(87,1),(88,1),(128,1),(161,1),(173,1)}
        66:{1,4,7}:{(43,1),(44,1),(46,1)}
        67:{1,2,5,7}:{(44,1),(47,1),(51,1),(89,1),(128,1)}
        68:{1,4,5}:{(45,1),(46,1),(85,1),(159,1)}
        69:{1,2,4,6}:{(46,1),(47,1),(86,1),(89,1),(90,1),(91,1)}
        70:{2,5,6}:{(48,1),(49,1),(87,1),(92,1),(173,1)}
        71:{1,5,7}:{(49,1),(50,1),(92,1)}
        72:{1,2,4,6,7}:{(50,1),(51,1),(56,1),(82,1),(89,1),(93,1),(94,1),(124,1),(131,1),(135,1),(157,1),(172,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(135,1),(163,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(92,1),(95,1),(97,1),(127,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(94,1),(98,1),(129,1),(136,1),(160,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(70,1),(99,1),(101,1),(105,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(71,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(107,1),(139,1),(142,1),(146,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(62,1),(65,1),(105,1),(106,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(63,1),(66,1),(106,1),(107,1),(112,1),(144,1),(168,1)}
        85:{1,3,5}:{(62,1),(63,1),(68,1),(108,1),(174,1)}
        86:{2,4,6}:{(63,1),(107,1),(108,1),(109,1),(146,1),(148,1)}
        87:{2,4,6}:{(64,1),(65,1),(70,1),(105,1),(110,1),(146,1)}
        88:{1,4,5,7}:{(65,1),(66,1),(68,1),(71,1),(106,1),(110,1),(168,1),(174,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(69,1),(107,1),(112,1)}
        90:{1,2,4,5}:{(68,1),(69,1),(108,1),(113,1),(148,1)}
        91:{1,3,6}:{(69,1),(109,1),(112,1),(113,1)}
        92:{1,5,6}:{(70,1),(71,1),(110,1),(174,1)}
        93:{1,2,5,7}:{(71,1),(72,1),(76,1),(102,1),(114,1),(115,1),(174,1)}
        94:{1,3,6,7}:{(72,1),(77,1),(103,1),(112,1),(115,1),(144,1),(149,1),(167,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(146,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(115,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(135,1),(163,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(92,1),(120,1),(122,1),(127,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(94,1),(123,1),(129,1),(154,1),(160,1)}
       104:{1,2,4,6}:{(86,1),(124,1),(125,1),(126,1),(157,1),(159,1),(172,1)}
       105:{2,3,6}:{(83,1),(87,1),(127,1),(136,1),(154,1)}
       106:{1,3,5,7}:{(83,1),(84,1),(85,1),(88,1),(127,1),(128,1)}
       107:{2,4,7}:{(84,1),(86,1),(128,1),(129,1)}
       108:{2,5}:{(85,1),(86,1)}
       109:{2,3,6}:{(86,1),(91,1),(126,1),(129,1),(130,1)}
       110:{1,4,6}:{(87,1),(88,1),(92,1),(127,1)}
       111:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(96,1),(121,1),(128,1),(131,1),(132,1),(135,1),(161,1),(163,1),(173,1)}
       112:{1,3,7}:{(89,1),(91,1),(129,1)}
       113:{1,3,5}:{(90,1),(91,1),(130,1),(133,1)}
       114:{1,2,5,6}:{(92,1),(93,1),(97,1),(122,1),(131,1),(134,1),(157,1),(173,1)}
       115:{1,3,5,7}:{(93,1),(94,1),(98,1),(123,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(134,1),(136,1),(138,1),(160,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(135,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(146,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(104,1),(107,1),(143,1),(144,1),(168,1)}
       125:{1,2,5}:{(104,1),(108,1),(145,1),(174,1)}
       126:{1,3,6}:{(104,1),(109,1),(144,1),(145,1)}
       127:{1,3,6}:{(105,1),(106,1),(110,1),(146,1)}
       128:{2,5,7}:{(106,1),(107,1),(108,1),(146,1)}
       129:{2,3,7}:{(107,1),(109,1),(112,1),(144,1)}
       130:{2,3,5}:{(108,1),(109,1),(113,1),(145,1),(148,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(114,1),(116,1),(139,1),(146,1),(149,1),(151,1),(169,1)}
       132:{1,3,5,7}:{(111,1),(112,1),(113,1),(117,1),(140,1),(147,1),(149,1),(150,1),(170,1)}
       133:{1,3,4}:{(113,1),(148,1)}
       134:{1,3,5,6}:{(114,1),(115,1),(118,1),(141,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       135:{1,4,7}:{(115,1),(119,1),(142,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(151,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(134,1),(154,1),(156,1),(160,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(135,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(125,1),(128,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(126,1),(129,1)}
       145:{1,3,5}:{(125,1),(126,1),(130,1),(159,1)}
       146:{2,6}:{(127,1),(128,1)}
       147:{2,3,5,7}:{(128,1),(129,1),(130,1),(132,1),(158,1),(160,1),(161,1),(173,1)}
       148:{2,4}:{(130,1),(133,1),(159,1)}
       149:{1,3,6}:{(131,1),(132,1),(136,1),(154,1),(160,1)}
       150:{1,3,4,7}:{(132,1),(133,1),(135,1),(137,1),(155,1),(161,1),(162,1)}
       151:{1,4,6}:{(134,1),(135,1),(138,1),(156,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(163,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(151,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(145,1),(147,1),(167,1),(168,1),(174,1)}
       159:{1,4}:{(145,1),(148,1)}
       160:{2,3,6}:{(146,1),(147,1),(149,1),(167,1),(169,1)}
       161:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(169,1)}
       162:{1,3,4,6}:{(149,1),(150,1),(151,1),(152,1),(165,1),(169,1),(170,1)}
       163:{1,4,5}:{(151,1),(153,1),(166,1),(170,1),(174,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(163,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,4,7}:{(158,1),(159,1),(161,1),(172,1)}
       169:{2,4,6}:{(160,1),(161,1),(162,1),(172,1),(173,1)}
       170:{1,3,5}:{(162,1),(163,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2533 :   0:{2,3,4,5,6}:{(1,1),(2,1),(29,1),(61,1),(112,1),(165,1)}
         1:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(17,1),(82,1),(134,1),(149,1),(150,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(48,1),(147,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(33,1),(57,1),(76,1),(181,1)}
         4:{2,4,5,6}:{(1,1),(10,1),(11,1),(106,1),(153,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(12,1),(31,1),(126,1),(128,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(72,1),(112,1),(124,1)}
         7:{1,3,4,5,6}:{(3,1),(14,1),(15,1),(39,1),(49,1),(99,1),(172,1),(173,1)}
         8:{2,3,4,5,7}:{(3,1),(15,1),(16,1),(81,1),(170,1)}
         9:{1,2,4,5,6}:{(4,1),(17,1),(18,1),(47,1),(91,1),(142,1),(146,1),(149,1)}
        10:{2,3,5,6}:{(4,1),(17,1),(19,1),(20,1),(129,1),(167,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        12:{1,3,4,6,7}:{(5,1),(6,1),(21,1),(22,1),(51,1),(101,1),(104,1),(134,1)}
        13:{2,3,5,6,7}:{(6,1),(22,1),(23,1),(137,1)}
        14:{2,4,5,6}:{(7,1),(25,1),(26,1),(70,1),(122,1)}
        15:{1,3,4,5,7}:{(7,1),(8,1),(26,1),(27,1),(59,1),(157,1),(159,1)}
        16:{2,3,4,6,7}:{(8,1),(27,1),(28,1),(76,1),(108,1),(155,1)}
        17:{1,3,5,6}:{(9,1),(10,1),(29,1),(30,1),(31,1),(116,1),(160,1)}
        18:{1,2,4,5,7}:{(9,1),(11,1),(31,1),(32,1),(71,1),(123,1),(126,1)}
        19:{2,3,4,6}:{(10,1),(30,1),(33,1),(34,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1)}
        21:{2,4,6,7}:{(11,1),(12,1),(35,1),(36,1),(153,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(36,1),(37,1),(79,1),(156,1)}
        23:{2,4,5,6,7}:{(13,1),(37,1),(38,1),(124,1),(158,1)}
        24:{1,2,4,5,6}:{(14,1),(39,1),(40,1),(80,1),(91,1),(142,1),(169,1),(172,1)}
        25:{2,3,5,6}:{(14,1),(39,1),(41,1),(42,1),(94,1),(144,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,3,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(84,1),(99,1),(136,1),(139,1)}
        28:{2,3,5,6,7}:{(16,1),(44,1),(45,1),(102,1)}
        29:{2,3,5,6}:{(17,1),(47,1),(48,1),(94,1),(144,1),(146,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(47,1),(49,1),(50,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(20,1),(48,1),(50,1),(51,1)}
        32:{1,2,4,6,7}:{(18,1),(21,1),(51,1),(52,1),(97,1),(101,1),(142,1)}
        33:{2,3,4,5}:{(19,1),(49,1),(129,1)}
        34:{2,3,4,7}:{(19,1),(20,1),(50,1)}
        35:{2,3,6,7}:{(20,1),(21,1),(51,1),(167,1)}
        36:{2,5,6,7}:{(21,1),(22,1),(169,1)}
        37:{1,4,5,6,7}:{(22,1),(23,1),(56,1),(101,1),(172,1)}
        38:{3,4,5,6,7}:{(23,1),(148,1),(173,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(57,1),(58,1),(59,1),(116,1),(160,1)}
        40:{1,2,4,5,7}:{(24,1),(26,1),(59,1),(60,1),(107,1),(154,1),(157,1)}
        41:{2,3,4,6}:{(25,1),(58,1),(61,1),(62,1)}
        42:{2,3,5,7}:{(25,1),(26,1),(59,1),(62,1),(63,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(64,1),(122,1)}
        44:{1,3,5,6,7}:{(27,1),(28,1),(64,1),(65,1),(115,1),(125,1)}
        45:{2,4,5,6,7}:{(28,1),(65,1),(66,1),(127,1),(155,1)}
        46:{1,2,3,5,6}:{(29,1),(57,1),(67,1),(68,1),(116,1),(160,1),(162,1)}
        47:{2,4,6}:{(29,1),(30,1),(70,1),(71,1)}
        48:{2,3,5,7}:{(29,1),(31,1),(71,1),(72,1),(123,1)}
        49:{1,3,4,5}:{(30,1),(33,1),(70,1),(116,1)}
        50:{1,3,4,7}:{(30,1),(31,1),(34,1),(71,1)}
        51:{1,3,6,7}:{(31,1),(32,1),(35,1),(72,1),(160,1)}
        52:{1,2,5,6,7}:{(32,1),(36,1),(75,1),(123,1),(162,1)}
        53:{2,3,4,5,7}:{(33,1),(34,1),(73,1),(76,1),(77,1),(151,1),(180,1)}
        54:{2,3,4,6,7}:{(34,1),(35,1),(74,1),(76,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(36,1),(75,1),(77,1),(78,1),(79,1),(179,1)}
        56:{2,4,5,6,7}:{(36,1),(37,1),(78,1),(79,1),(181,1)}
        57:{2,3,5,6}:{(39,1),(80,1),(81,1),(129,1),(167,1),(169,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(80,1),(82,1),(83,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(42,1),(81,1),(83,1),(84,1)}
        60:{1,2,4,6,7}:{(40,1),(43,1),(84,1),(85,1),(132,1),(136,1),(142,1)}
        61:{2,3,4,5}:{(41,1),(82,1),(94,1)}
        62:{2,3,4,7}:{(41,1),(42,1),(83,1)}
        63:{2,3,6,7}:{(42,1),(43,1),(84,1),(144,1)}
        64:{2,5,6,7}:{(43,1),(44,1),(146,1)}
        65:{1,4,5,6,7}:{(44,1),(45,1),(89,1),(136,1),(149,1)}
        66:{3,4,5,6,7}:{(45,1),(150,1),(171,1)}
        67:{1,2,4,6}:{(46,1),(47,1),(80,1),(90,1),(91,1),(92,1)}
        68:{1,2,3,5,7}:{(46,1),(48,1),(81,1),(92,1),(93,1),(140,1),(143,1)}
        69:{2,3,4,6}:{(47,1),(90,1),(94,1),(95,1),(144,1)}
        70:{2,4,5}:{(47,1),(49,1),(94,1)}
        71:{2,4,7}:{(47,1),(48,1),(50,1)}
        72:{2,3,6,7}:{(48,1),(51,1),(97,1),(144,1)}
        73:{1,3,4,5,7}:{(49,1),(50,1),(53,1),(96,1),(99,1),(100,1),(140,1),(175,1),(177,1)}
        74:{1,3,4,6,7}:{(50,1),(51,1),(54,1),(97,1),(99,1),(100,1),(101,1),(148,1)}
        75:{1,3,5,6,7}:{(51,1),(52,1),(55,1),(98,1),(100,1),(101,1),(174,1)}
        76:{2,3,4,6}:{(53,1),(99,1),(102,1),(167,1),(185,1)}
        77:{2,3,5,7}:{(54,1),(100,1),(102,1),(103,1)}
        78:{2,4,6,7}:{(55,1),(101,1),(103,1),(104,1),(185,1)}
        79:{3,5,6,7}:{(56,1),(104,1),(187,1)}
        80:{2,4,6}:{(57,1),(58,1),(106,1),(107,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(107,1),(108,1),(154,1)}
        82:{1,3,4,5}:{(58,1),(61,1),(106,1),(116,1)}
        83:{1,3,4,7}:{(58,1),(59,1),(62,1),(107,1)}
        84:{1,3,6,7}:{(59,1),(60,1),(63,1),(108,1),(160,1)}
        85:{1,2,5,6,7}:{(60,1),(64,1),(111,1),(154,1),(162,1)}
        86:{2,3,4,5,7}:{(61,1),(62,1),(109,1),(112,1),(113,1),(120,1),(164,1)}
        87:{2,3,4,6,7}:{(62,1),(63,1),(110,1),(112,1),(113,1),(114,1)}
        88:{2,3,5,6,7}:{(63,1),(64,1),(111,1),(113,1),(114,1),(115,1),(163,1)}
        89:{2,4,5,6,7}:{(64,1),(65,1),(114,1),(115,1),(165,1)}
        90:{1,3,4,6}:{(67,1),(69,1),(105,1),(116,1),(117,1),(160,1)}
        91:{1,2,4,5}:{(67,1),(70,1),(106,1),(116,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(71,1),(107,1),(117,1)}
        93:{1,2,3,6,7}:{(68,1),(72,1),(108,1),(119,1),(160,1)}
        94:{2,3,5}:{(69,1),(70,1),(116,1)}
        95:{2,3,4,7}:{(69,1),(71,1),(117,1),(120,1)}
        96:{2,4,5,7}:{(70,1),(71,1),(73,1),(120,1),(122,1),(123,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(74,1),(122,1),(123,1)}
        98:{2,3,5,6,7}:{(72,1),(75,1),(123,1),(124,1),(163,1),(166,1)}
        99:{1,3,4,6}:{(73,1),(76,1),(122,1),(125,1),(160,1),(183,1),(184,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(123,1),(125,1),(126,1),(166,1)}
       101:{1,4,6,7}:{(75,1),(78,1),(124,1),(126,1),(183,1)}
       102:{2,3,5,6}:{(76,1),(77,1),(125,1),(127,1)}
       103:{2,4,5,7}:{(77,1),(78,1),(126,1),(127,1),(128,1)}
       104:{3,4,6,7}:{(78,1),(79,1),(128,1),(188,1)}
       105:{2,3,4,6}:{(80,1),(90,1),(129,1),(130,1),(167,1)}
       106:{2,4,5}:{(80,1),(82,1),(129,1)}
       107:{2,4,7}:{(80,1),(81,1),(83,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(132,1),(167,1)}
       109:{1,3,4,5,7}:{(82,1),(83,1),(86,1),(131,1),(134,1),(135,1),(140,1),(175,1),(186,1)}
       110:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(132,1),(134,1),(135,1),(136,1),(171,1)}
       111:{1,3,5,6,7}:{(84,1),(85,1),(88,1),(133,1),(135,1),(136,1),(174,1)}
       112:{2,3,4,6}:{(86,1),(134,1),(137,1),(144,1),(176,1)}
       113:{2,3,5,7}:{(87,1),(135,1),(137,1),(138,1)}
       114:{2,4,6,7}:{(88,1),(136,1),(138,1),(139,1),(176,1)}
       115:{3,5,6,7}:{(89,1),(139,1),(178,1)}
       116:{1,3,5}:{(90,1),(91,1),(94,1),(129,1)}
       117:{1,3,4,7}:{(90,1),(92,1),(95,1),(130,1),(140,1)}
       118:{1,2,4,5,7}:{(91,1),(92,1),(96,1),(131,1),(140,1),(142,1),(143,1),(175,1)}
       119:{1,2,4,6,7}:{(92,1),(93,1),(97,1),(132,1),(141,1),(142,1),(143,1)}
       120:{2,3,5,7}:{(94,1),(95,1),(96,1),(140,1),(144,1)}
       121:{2,3,4,6,7}:{(95,1),(97,1),(141,1),(144,1),(145,1),(148,1),(176,1)}
       122:{2,4,6}:{(96,1),(99,1),(144,1),(146,1)}
       123:{2,5,7}:{(97,1),(100,1),(146,1)}
       124:{2,4,6,7}:{(98,1),(101,1),(147,1),(148,1),(176,1)}
       125:{1,3,5,6}:{(99,1),(100,1),(102,1),(146,1),(149,1),(178,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(103,1),(147,1),(149,1)}
       127:{2,4,5,6}:{(102,1),(103,1),(149,1),(150,1),(185,1)}
       128:{3,4,5,7}:{(103,1),(104,1),(150,1)}
       129:{2,3,5}:{(105,1),(106,1),(116,1)}
       130:{2,3,4,7}:{(105,1),(107,1),(117,1),(151,1)}
       131:{2,4,5,7}:{(106,1),(107,1),(109,1),(151,1),(153,1),(154,1)}
       132:{2,4,6,7}:{(107,1),(108,1),(110,1),(153,1),(154,1)}
       133:{2,3,5,6,7}:{(108,1),(111,1),(154,1),(155,1),(179,1),(182,1)}
       134:{1,3,4,6}:{(109,1),(112,1),(153,1),(156,1),(160,1),(183,1),(188,1)}
       135:{1,3,5,7}:{(110,1),(113,1),(154,1),(156,1),(157,1),(182,1)}
       136:{1,4,6,7}:{(111,1),(114,1),(155,1),(157,1),(183,1)}
       137:{2,3,5,6}:{(112,1),(113,1),(156,1),(158,1)}
       138:{2,4,5,7}:{(113,1),(114,1),(157,1),(158,1),(159,1)}
       139:{3,4,6,7}:{(114,1),(115,1),(159,1),(184,1)}
       140:{1,3,5,7}:{(116,1),(117,1),(118,1),(120,1),(151,1),(160,1)}
       141:{1,3,4,6,7}:{(117,1),(119,1),(121,1),(152,1),(160,1),(161,1),(183,1)}
       142:{1,2,4,6}:{(118,1),(122,1),(153,1),(160,1),(162,1),(183,1)}
       143:{1,2,5,7}:{(119,1),(123,1),(154,1),(161,1),(162,1)}
       144:{2,3,6}:{(120,1),(122,1),(160,1)}
       145:{2,3,5,7}:{(121,1),(123,1),(161,1),(163,1),(164,1),(166,1)}
       146:{2,5,6}:{(122,1),(123,1),(125,1)}
       147:{2,4,5,7}:{(123,1),(124,1),(126,1),(165,1),(166,1)}
       148:{3,4,6,7}:{(124,1),(166,1),(184,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(127,1),(165,1),(183,1)}
       150:{3,4,5,6}:{(127,1),(128,1),(188,1)}
       151:{2,3,5,7}:{(129,1),(130,1),(131,1),(140,1),(167,1)}
       152:{2,3,4,6,7}:{(130,1),(132,1),(141,1),(167,1),(168,1),(171,1),(185,1)}
       153:{2,4,6}:{(131,1),(134,1),(167,1),(169,1)}
       154:{2,5,7}:{(132,1),(135,1),(169,1)}
       155:{2,4,6,7}:{(133,1),(136,1),(170,1),(171,1),(185,1)}
       156:{1,3,5,6}:{(134,1),(135,1),(137,1),(169,1),(172,1),(187,1)}
       157:{1,4,5,7}:{(135,1),(136,1),(138,1),(170,1),(172,1)}
       158:{2,4,5,6}:{(137,1),(138,1),(172,1),(173,1),(176,1)}
       159:{3,4,5,7}:{(138,1),(139,1),(173,1)}
       160:{1,3,6}:{(140,1),(142,1),(144,1),(167,1)}
       161:{1,3,5,7}:{(141,1),(143,1),(145,1),(168,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(142,1),(143,1),(146,1),(169,1),(174,1)}
       163:{2,3,5,6}:{(144,1),(145,1),(146,1),(174,1),(176,1),(178,1)}
       164:{2,4,5,7}:{(145,1),(175,1),(176,1),(177,1)}
       165:{2,4,5,6}:{(146,1),(147,1),(149,1),(176,1),(178,1)}
       166:{3,5,7}:{(147,1),(148,1),(178,1)}
       167:{2,3,6}:{(151,1),(153,1),(160,1)}
       168:{2,3,5,7}:{(152,1),(154,1),(161,1),(179,1),(180,1),(182,1)}
       169:{2,5,6}:{(153,1),(154,1),(156,1)}
       170:{2,4,5,7}:{(154,1),(155,1),(157,1),(181,1),(182,1)}
       171:{3,4,6,7}:{(155,1),(182,1),(188,1)}
       172:{1,4,5,6}:{(156,1),(157,1),(158,1),(181,1),(183,1)}
       173:{3,4,5,6}:{(158,1),(159,1),(184,1)}
       174:{1,3,5,6}:{(160,1),(161,1),(162,1),(163,1),(179,1),(183,1)}
       175:{1,4,5,7}:{(161,1),(164,1),(180,1),(183,1)}
       176:{2,4,6}:{(163,1),(164,1),(183,1),(184,1)}
       177:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       178:{3,5,6}:{(165,1),(166,1),(184,1)}
       179:{2,3,5,6}:{(167,1),(168,1),(169,1),(174,1),(185,1),(187,1)}
       180:{2,4,5,7}:{(168,1),(175,1),(185,1),(186,1)}
       181:{2,4,5,6}:{(169,1),(170,1),(172,1),(185,1),(187,1)}
       182:{3,5,7}:{(170,1),(171,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{2,4,6}:{(179,1),(180,1),(183,1),(188,1)}
       186:{3,4,5,7}:{(180,1),(182,1),(188,1)}
       187:{3,5,6}:{(181,1),(182,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2534 :   0:{1,3,4,5,7}:{(6,1),(7,1),(9,1),(37,1),(46,1),(48,1),(108,1),(119,1),(129,1),(130,1),(197,1),(198,1),(202,1),(254,1)}
         1:{1,3,4,6,7}:{(7,1),(8,1),(9,1),(11,1),(53,1),(58,1),(129,1),(130,1),(202,1)}
         2:{1,3,5,6,7}:{(9,1),(10,1),(11,1),(41,1),(58,1)}
         3:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(22,1),(60,1),(69,1),(78,1),(80,1),(83,1),(135,1),(146,1),(148,1),(149,1),(167,1),(213,1),(218,1),(226,1),(228,1),(260,1),(267,1)}
         4:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(19,1),(26,1),(64,1),(78,1),(88,1),(140,1),(167,1),(213,1)}
         5:{1,3,4,6,7}:{(17,1),(19,1),(20,1),(70,1),(75,1),(78,1),(154,1),(157,1)}
         6:{2,4,5,7}:{(0,1),(21,1),(22,1),(23,1),(27,1),(69,1),(83,1),(90,1),(148,1),(162,1),(167,1),(228,1)}
         7:{1,3,4,6}:{(0,1),(23,1),(24,1),(75,1),(84,1),(154,1),(164,1),(165,1),(230,1)}
         8:{2,4,6,7}:{(1,1),(23,1),(25,1),(26,1),(27,1),(88,1),(90,1),(167,1)}
         9:{1,3,5,7}:{(1,1),(24,1),(27,1),(28,1),(92,1)}
        10:{2,5,6,7}:{(2,1),(27,1),(29,1),(30,1),(74,1)}
        11:{1,4,6,7}:{(2,1),(28,1),(30,1),(75,1),(170,1)}
        12:{1,3,4,5,7}:{(31,1),(32,1),(34,1),(37,1),(46,1),(95,1),(108,1),(119,1),(180,1),(181,1),(237,1),(238,1),(242,1),(279,1)}
        13:{1,3,4,6,7}:{(32,1),(33,1),(34,1),(36,1),(100,1),(105,1),(180,1),(181,1),(242,1)}
        14:{1,3,5,6,7}:{(34,1),(35,1),(36,1),(41,1),(105,1)}
        15:{1,3,5,7}:{(3,1),(37,1),(38,1),(39,1),(108,1),(119,1),(184,1),(202,1),(242,1),(245,1),(254,1),(279,1)}
        16:{1,2,4,6}:{(3,1),(39,1),(40,1),(50,1),(97,1),(107,1),(112,1),(114,1),(123,1),(174,1),(199,1),(239,1),(250,1)}
        17:{1,3,6,7}:{(4,1),(39,1),(42,1),(43,1),(202,1),(242,1),(250,1)}
        18:{1,2,5,7}:{(4,1),(40,1),(43,1),(45,1),(55,1),(102,1),(128,1),(179,1),(288,1)}
        19:{2,4,6,7}:{(5,1),(42,1),(44,1),(45,1),(107,1),(114,1),(117,1)}
        20:{1,3,5,7}:{(5,1),(41,1),(45,1),(46,1),(108,1),(119,1)}
        21:{2,3,5,7}:{(6,1),(47,1),(48,1),(49,1),(119,1),(122,1),(194,1),(202,1),(254,1)}
        22:{1,4,5,7}:{(6,1),(48,1),(50,1),(55,1),(106,1),(129,1),(186,1),(197,1)}
        23:{2,4,6}:{(6,1),(7,1),(49,1),(50,1),(51,1),(123,1)}
        24:{1,3,5,6}:{(7,1),(9,1),(51,1),(52,1),(108,1),(127,1)}
        25:{2,3,6,7}:{(8,1),(49,1),(53,1),(54,1),(58,1),(132,1),(202,1)}
        26:{1,4,6,7}:{(8,1),(50,1),(53,1),(55,1),(129,1)}
        27:{2,5,7}:{(8,1),(9,1),(51,1),(55,1)}
        28:{1,4,5,7}:{(9,1),(11,1),(52,1),(56,1),(129,1),(204,1)}
        29:{1,5,6,7}:{(10,1),(55,1),(57,1),(113,1)}
        30:{2,4,6,7}:{(10,1),(11,1),(56,1),(57,1),(58,1),(114,1),(132,1)}
        31:{2,4,5,7}:{(12,1),(59,1),(60,1),(61,1),(65,1),(69,1),(135,1),(142,1),(148,1),(208,1),(213,1),(260,1)}
        32:{1,3,4,6}:{(12,1),(61,1),(62,1),(75,1),(136,1),(154,1),(210,1),(211,1),(262,1)}
        33:{2,4,6,7}:{(13,1),(61,1),(63,1),(64,1),(65,1),(140,1),(142,1),(213,1)}
        34:{1,3,5,7}:{(13,1),(62,1),(65,1),(66,1),(144,1)}
        35:{2,5,6,7}:{(14,1),(65,1),(67,1),(68,1),(74,1)}
        36:{1,4,6,7}:{(14,1),(66,1),(68,1),(75,1),(216,1)}
        37:{1,3,4,7}:{(15,1),(69,1),(70,1),(78,1),(157,1),(267,1),(273,1),(292,1)}
        38:{2,3,5,7}:{(15,1),(69,1),(71,1),(72,1),(83,1),(135,1),(148,1),(159,1),(205,1),(227,1),(259,1)}
        39:{1,3,6}:{(15,1),(16,1),(72,1),(154,1),(230,1),(262,1)}
        40:{1,2,5,6}:{(16,1),(18,1),(73,1),(74,1),(86,1),(138,1),(148,1),(163,1),(209,1),(218,1),(299,1)}
        41:{1,3,5,6}:{(20,1),(74,1),(75,1),(154,1)}
        42:{2,3,6,7}:{(17,1),(19,1),(72,1),(76,1),(77,1),(88,1),(140,1),(154,1),(223,1)}
        43:{1,3,5,7}:{(17,1),(18,1),(73,1),(77,1),(78,1),(226,1),(272,1)}
        44:{1,4,6,7}:{(19,1),(76,1),(79,1),(147,1),(153,1),(156,1)}
        45:{2,5,7}:{(19,1),(20,1),(74,1),(79,1),(148,1)}
        46:{1,4,5,7}:{(20,1),(75,1),(78,1),(80,1),(149,1),(226,1)}
        47:{2,3,4,7}:{(21,1),(69,1),(81,1),(82,1),(90,1),(157,1),(205,1),(225,1),(233,1),(273,1)}
        48:{1,3,5,7}:{(21,1),(22,1),(81,1),(83,1),(84,1),(161,1),(226,1)}
        49:{2,3,6}:{(21,1),(23,1),(84,1),(154,1),(223,1),(230,1)}
        50:{1,4,6}:{(22,1),(23,1),(84,1),(86,1)}
        51:{2,5,6}:{(23,1),(24,1),(27,1),(86,1),(148,1)}
        52:{1,4,5,6}:{(24,1),(28,1),(75,1),(87,1),(149,1),(164,1),(232,1)}
        53:{1,3,6,7}:{(25,1),(26,1),(84,1),(88,1),(89,1),(170,1)}
        54:{2,3,5,7}:{(25,1),(27,1),(85,1),(89,1),(90,1),(92,1),(169,1),(233,1)}
        55:{1,5,7}:{(26,1),(27,1),(86,1)}
        56:{2,4,5,7}:{(27,1),(28,1),(30,1),(87,1),(90,1),(91,1),(92,1),(167,1),(169,1)}
        57:{1,4,6,7}:{(29,1),(30,1),(91,1),(93,1),(153,1)}
        58:{3,6,7}:{(30,1),(92,1),(154,1)}
        59:{2,3,5,7}:{(31,1),(94,1),(95,1),(96,1),(119,1),(173,1),(194,1),(242,1),(279,1)}
        60:{1,4,5,7}:{(31,1),(95,1),(97,1),(102,1),(106,1),(180,1),(186,1),(237,1)}
        61:{2,4,6}:{(31,1),(32,1),(96,1),(97,1),(98,1),(174,1)}
        62:{1,3,5,6}:{(32,1),(34,1),(98,1),(99,1),(108,1),(178,1)}
        63:{2,3,6,7}:{(33,1),(96,1),(100,1),(101,1),(105,1),(183,1),(242,1)}
        64:{1,4,6,7}:{(33,1),(97,1),(100,1),(102,1),(180,1)}
        65:{2,5,7}:{(33,1),(34,1),(98,1),(102,1)}
        66:{1,4,5,7}:{(34,1),(36,1),(99,1),(103,1),(180,1),(244,1)}
        67:{1,5,6,7}:{(35,1),(102,1),(104,1),(113,1)}
        68:{2,4,6,7}:{(35,1),(36,1),(103,1),(104,1),(105,1),(114,1),(183,1)}
        69:{2,4,7}:{(37,1),(38,1),(106,1),(107,1),(253,1),(278,1)}
        70:{1,3,4,6}:{(37,1),(39,1),(107,1),(108,1),(112,1),(190,1)}
        71:{1,3,5,7}:{(38,1),(106,1),(109,1),(110,1),(184,1),(186,1),(245,1)}
        72:{2,3,6}:{(38,1),(39,1),(107,1),(110,1),(123,1),(174,1)}
        73:{1,3,5,6}:{(39,1),(40,1),(43,1),(108,1),(111,1),(112,1),(245,1),(250,1),(286,1),(287,1)}
        74:{2,5,6}:{(41,1),(45,1),(113,1),(114,1)}
        75:{1,4,6}:{(41,1),(46,1),(114,1),(250,1)}
        76:{1,3,6,7}:{(42,1),(44,1),(110,1),(115,1),(116,1),(191,1)}
        77:{2,3,5,7}:{(42,1),(43,1),(45,1),(111,1),(116,1),(117,1),(119,1),(128,1),(179,1),(194,1),(202,1),(242,1),(251,1)}
        78:{1,4,7}:{(43,1),(112,1),(117,1)}
        79:{1,5,7}:{(44,1),(45,1),(113,1),(186,1)}
        80:{2,4,5,7}:{(45,1),(46,1),(114,1),(117,1),(118,1),(119,1),(187,1),(194,1)}
        81:{1,3,4,7}:{(47,1),(48,1),(106,1),(120,1),(121,1),(129,1),(184,1),(202,1),(252,1),(258,1)}
        82:{2,3,4,6}:{(47,1),(49,1),(107,1),(121,1),(122,1),(125,1),(190,1),(235,1),(249,1),(256,1),(278,1),(289,1)}
        83:{2,5,7}:{(48,1),(120,1),(123,1),(196,1)}
        84:{1,3,6}:{(48,1),(49,1),(50,1),(123,1),(250,1)}
        85:{2,3,5,6}:{(49,1),(51,1),(54,1),(122,1),(124,1),(125,1),(127,1),(201,1),(256,1)}
        86:{1,5,6}:{(50,1),(51,1),(55,1),(186,1)}
        87:{2,4,5,6}:{(51,1),(52,1),(56,1),(114,1),(125,1),(126,1),(127,1),(187,1),(199,1),(201,1)}
        88:{2,6,7}:{(53,1),(123,1),(128,1)}
        89:{1,3,5,7}:{(53,1),(54,1),(55,1),(124,1),(128,1),(129,1),(202,1),(204,1),(258,1)}
        90:{2,4,7}:{(54,1),(125,1),(129,1),(130,1)}
        91:{1,4,5,7}:{(55,1),(56,1),(57,1),(126,1),(129,1),(131,1)}
        92:{3,5,7}:{(56,1),(58,1),(127,1),(130,1),(202,1)}
        93:{1,3,6,7}:{(57,1),(58,1),(131,1),(132,1),(191,1)}
        94:{2,3,4,7}:{(59,1),(69,1),(133,1),(134,1),(142,1),(157,1),(159,1),(225,1),(265,1),(292,1)}
        95:{1,3,5,7}:{(59,1),(60,1),(133,1),(135,1),(136,1),(207,1),(226,1)}
        96:{2,3,6}:{(59,1),(61,1),(136,1),(154,1),(223,1),(262,1)}
        97:{1,4,6}:{(60,1),(61,1),(136,1),(138,1)}
        98:{2,5,6}:{(61,1),(62,1),(65,1),(138,1),(148,1)}
        99:{1,4,5,6}:{(62,1),(66,1),(75,1),(139,1),(149,1),(210,1),(264,1)}
       100:{1,3,6,7}:{(63,1),(64,1),(136,1),(140,1),(141,1),(216,1)}
       101:{2,3,5,7}:{(63,1),(65,1),(137,1),(141,1),(142,1),(144,1),(215,1),(265,1)}
       102:{1,5,7}:{(64,1),(65,1),(138,1)}
       103:{2,4,5,7}:{(65,1),(66,1),(68,1),(139,1),(142,1),(143,1),(144,1),(213,1),(215,1)}
       104:{1,4,6,7}:{(67,1),(68,1),(143,1),(145,1),(153,1)}
       105:{3,6,7}:{(68,1),(144,1),(154,1)}
       106:{1,4,7}:{(69,1),(71,1),(147,1),(267,1)}
       107:{2,4,6}:{(69,1),(70,1),(72,1),(147,1),(148,1)}
       108:{1,3,5}:{(70,1),(148,1),(149,1),(220,1)}
       109:{1,2,5,7}:{(71,1),(83,1),(135,1),(146,1),(150,1),(218,1),(226,1)}
       110:{1,3,6}:{(71,1),(72,1),(147,1),(150,1)}
       111:{2,3,5,6}:{(72,1),(73,1),(74,1),(77,1),(148,1),(151,1),(152,1),(154,1),(163,1),(209,1),(220,1),(223,1),(227,1),(230,1),(259,1),(262,1),(269,1),(270,1)}
       112:{1,4,6}:{(73,1),(78,1),(149,1),(152,1),(267,1)}
       113:{1,5,6}:{(74,1),(79,1),(153,1)}
       114:{2,4,6}:{(74,1),(75,1),(80,1),(153,1),(154,1),(223,1)}
       115:{1,2,6,7}:{(76,1),(88,1),(140,1),(150,1),(155,1),(170,1),(216,1),(223,1)}
       116:{1,3,5,7}:{(76,1),(77,1),(79,1),(151,1),(155,1),(156,1),(224,1)}
       117:{2,4,7}:{(77,1),(78,1),(152,1),(156,1),(157,1)}
       118:{1,4,5,7}:{(79,1),(80,1),(153,1),(156,1),(158,1),(219,1)}
       119:{3,5,7}:{(80,1),(154,1),(157,1),(220,1)}
       120:{2,4,7}:{(81,1),(83,1),(159,1),(160,1),(277,1)}
       121:{1,3,4,6}:{(81,1),(82,1),(84,1),(147,1),(160,1),(161,1),(164,1),(217,1),(230,1),(267,1),(271,1),(273,1),(276,1),(300,1)}
       122:{2,3,5}:{(82,1),(148,1),(161,1),(162,1),(220,1),(269,1)}
       123:{2,6}:{(83,1),(84,1)}
       124:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(161,1),(163,1),(164,1),(230,1),(232,1),(276,1)}
       125:{2,4,6}:{(85,1),(90,1),(162,1),(164,1),(165,1)}
       126:{1,4,5,6}:{(86,1),(87,1),(91,1),(153,1),(164,1),(166,1),(219,1)}
       127:{3,5,6}:{(87,1),(92,1),(154,1),(165,1),(220,1),(230,1)}
       128:{2,5,7}:{(88,1),(89,1),(163,1),(167,1),(277,1)}
       129:{1,4,7}:{(89,1),(90,1),(164,1),(167,1)}
       130:{3,4,7}:{(90,1),(92,1),(165,1)}
       131:{1,3,5,7}:{(91,1),(92,1),(93,1),(166,1),(168,1),(169,1)}
       132:{2,6,7}:{(93,1),(169,1),(170,1),(223,1)}
       133:{1,3,4,7}:{(94,1),(95,1),(106,1),(171,1),(172,1),(180,1),(184,1),(242,1),(252,1),(283,1)}
       134:{2,3,4,6}:{(94,1),(96,1),(107,1),(172,1),(173,1),(176,1),(190,1),(195,1),(249,1),(253,1),(281,1),(302,1)}
       135:{2,5,7}:{(95,1),(171,1),(174,1),(236,1)}
       136:{1,3,6}:{(95,1),(96,1),(97,1),(174,1),(250,1)}
       137:{2,3,5,6}:{(96,1),(98,1),(101,1),(173,1),(175,1),(176,1),(178,1),(241,1),(281,1)}
       138:{1,5,6}:{(97,1),(98,1),(102,1),(186,1)}
       139:{2,4,5,6}:{(98,1),(99,1),(103,1),(114,1),(176,1),(177,1),(178,1),(187,1),(239,1),(241,1)}
       140:{2,6,7}:{(100,1),(174,1),(179,1)}
       141:{1,3,5,7}:{(100,1),(101,1),(102,1),(175,1),(179,1),(180,1),(242,1),(244,1),(283,1)}
       142:{2,4,7}:{(101,1),(176,1),(180,1),(181,1)}
       143:{1,4,5,7}:{(102,1),(103,1),(104,1),(177,1),(180,1),(182,1)}
       144:{3,5,7}:{(103,1),(105,1),(178,1),(181,1),(242,1)}
       145:{1,3,6,7}:{(104,1),(105,1),(182,1),(183,1),(191,1)}
       146:{1,2,4,7}:{(106,1),(109,1),(120,1),(171,1),(184,1),(185,1),(252,1),(288,1)}
       147:{1,4,6}:{(106,1),(107,1),(110,1),(186,1)}
       148:{2,5}:{(107,1),(108,1),(186,1)}
       149:{1,4,5}:{(108,1),(112,1),(187,1),(286,1)}
       150:{1,2,6}:{(109,1),(110,1),(123,1),(174,1),(250,1)}
       151:{1,3,5,6}:{(110,1),(111,1),(113,1),(116,1),(186,1),(188,1),(189,1),(191,1),(245,1),(247,1),(248,1)}
       152:{2,4,6}:{(111,1),(112,1),(117,1),(187,1),(189,1),(190,1),(253,1),(278,1)}
       153:{1,4,6}:{(113,1),(114,1),(118,1),(191,1)}
       154:{3,6}:{(114,1),(119,1)}
       155:{1,2,5,7}:{(115,1),(116,1),(128,1),(179,1),(188,1),(192,1),(194,1),(204,1),(244,1)}
       156:{1,4,7}:{(116,1),(117,1),(189,1)}
       157:{3,4,7}:{(117,1),(119,1),(190,1),(202,1),(242,1)}
       158:{1,3,5,7}:{(118,1),(119,1),(191,1),(193,1),(194,1),(247,1)}
       159:{2,3,7}:{(120,1),(184,1),(195,1),(202,1)}
       160:{2,4,6}:{(120,1),(121,1),(123,1),(195,1),(196,1),(253,1),(291,1),(307,1)}
       161:{1,3,5}:{(121,1),(122,1),(186,1),(196,1),(197,1),(254,1),(286,1)}
       162:{2,4,5}:{(122,1),(125,1),(197,1),(198,1),(278,1)}
       163:{2,5,6}:{(123,1),(124,1),(128,1),(196,1),(199,1),(291,1)}
       164:{1,4,6}:{(124,1),(125,1),(129,1),(197,1),(199,1)}
       165:{3,4,6}:{(125,1),(127,1),(130,1),(198,1)}
       166:{1,3,5,6}:{(126,1),(127,1),(131,1),(191,1),(200,1),(201,1),(247,1)}
       167:{2,4,7}:{(128,1),(129,1),(199,1),(202,1)}
       168:{1,3,4,7}:{(129,1),(130,1),(131,1),(200,1),(202,1),(203,1),(258,1)}
       169:{2,5,7}:{(131,1),(132,1),(201,1),(203,1),(204,1)}
       170:{1,6,7}:{(132,1),(204,1),(250,1)}
       171:{2,4,7}:{(133,1),(135,1),(205,1),(206,1),(296,1)}
       172:{1,3,4,6}:{(133,1),(134,1),(136,1),(147,1),(206,1),(207,1),(210,1),(217,1),(262,1),(267,1),(271,1),(292,1),(295,1),(308,1)}
       173:{2,3,5}:{(134,1),(148,1),(207,1),(208,1),(220,1),(269,1)}
       174:{2,6}:{(135,1),(136,1)}
       175:{1,3,5,6}:{(136,1),(137,1),(138,1),(141,1),(207,1),(209,1),(210,1),(262,1),(264,1),(295,1)}
       176:{2,4,6}:{(137,1),(142,1),(208,1),(210,1),(211,1)}
       177:{1,4,5,6}:{(138,1),(139,1),(143,1),(153,1),(210,1),(212,1),(219,1)}
       178:{3,5,6}:{(139,1),(144,1),(154,1),(211,1),(220,1),(262,1)}
       179:{2,5,7}:{(140,1),(141,1),(209,1),(213,1),(296,1)}
       180:{1,4,7}:{(141,1),(142,1),(210,1),(213,1)}
       181:{3,4,7}:{(142,1),(144,1),(211,1)}
       182:{1,3,5,7}:{(143,1),(144,1),(145,1),(212,1),(214,1),(215,1)}
       183:{2,6,7}:{(145,1),(215,1),(216,1),(223,1)}
       184:{1,3,7}:{(146,1),(159,1),(205,1),(217,1)}
       185:{1,2,4,6}:{(146,1),(147,1),(150,1),(160,1),(206,1),(217,1),(218,1),(267,1),(271,1),(299,1),(310,1)}
       186:{1,5}:{(147,1),(148,1)}
       187:{2,4,5}:{(148,1),(149,1),(152,1),(219,1),(220,1),(269,1)}
       188:{1,2,5,6}:{(150,1),(151,1),(155,1),(163,1),(209,1),(218,1),(221,1),(223,1),(232,1),(264,1),(269,1)}
       189:{1,4,6}:{(151,1),(152,1),(156,1),(219,1),(267,1)}
       190:{3,4,6}:{(152,1),(154,1),(157,1),(220,1),(230,1),(262,1),(273,1),(292,1)}
       191:{1,3,6}:{(153,1),(154,1),(158,1),(223,1)}
       192:{1,2,4,7}:{(155,1),(156,1),(167,1),(213,1),(221,1),(224,1),(225,1),(234,1),(266,1),(277,1),(296,1)}
       193:{1,3,4,7}:{(156,1),(157,1),(158,1),(222,1),(224,1),(225,1)}
       194:{2,5,7}:{(158,1),(223,1),(225,1),(226,1),(269,1)}
       195:{2,3,6}:{(159,1),(160,1),(217,1),(227,1),(230,1),(311,1)}
       196:{2,5}:{(160,1),(161,1)}
       197:{1,4,5}:{(161,1),(162,1),(164,1),(228,1),(267,1)}
       198:{3,4,5}:{(162,1),(165,1),(220,1),(292,1)}
       199:{2,4,6}:{(163,1),(164,1),(167,1),(228,1),(230,1)}
       200:{1,3,4,6}:{(164,1),(165,1),(166,1),(168,1),(229,1),(230,1),(231,1),(276,1)}
       201:{2,5,6}:{(166,1),(169,1),(223,1),(231,1),(232,1),(269,1)}
       202:{3,7}:{(167,1),(230,1)}
       203:{2,4,7}:{(168,1),(169,1),(231,1),(233,1),(234,1),(277,1)}
       204:{1,5,7}:{(169,1),(170,1),(232,1),(234,1)}
       205:{2,3,7}:{(171,1),(184,1),(235,1),(242,1)}
       206:{2,4,6}:{(171,1),(172,1),(174,1),(235,1),(236,1),(278,1),(304,1),(312,1)}
       207:{1,3,5}:{(172,1),(173,1),(186,1),(236,1),(237,1),(279,1),(286,1)}
       208:{2,4,5}:{(173,1),(176,1),(237,1),(238,1),(253,1)}
       209:{2,5,6}:{(174,1),(175,1),(179,1),(236,1),(239,1),(304,1)}
       210:{1,4,6}:{(175,1),(176,1),(180,1),(237,1),(239,1)}
       211:{3,4,6}:{(176,1),(178,1),(181,1),(238,1)}
       212:{1,3,5,6}:{(177,1),(178,1),(182,1),(191,1),(240,1),(241,1),(247,1)}
       213:{2,4,7}:{(179,1),(180,1),(239,1),(242,1)}
       214:{1,3,4,7}:{(180,1),(181,1),(182,1),(240,1),(242,1),(243,1),(283,1)}
       215:{2,5,7}:{(182,1),(183,1),(241,1),(243,1),(244,1)}
       216:{1,6,7}:{(183,1),(244,1),(250,1)}
       217:{1,3,6}:{(184,1),(185,1),(195,1),(235,1),(245,1),(313,1)}
       218:{1,2,5}:{(185,1),(186,1),(196,1),(236,1),(245,1),(286,1)}
       219:{1,4,5}:{(186,1),(187,1),(189,1),(247,1)}
       220:{3,5}:{(187,1),(190,1)}
       221:{1,2,4,6}:{(188,1),(189,1),(192,1),(199,1),(239,1),(246,1),(248,1),(249,1),(257,1),(282,1),(291,1),(304,1)}
       222:{1,3,4,6}:{(189,1),(190,1),(191,1),(193,1),(247,1),(248,1),(249,1),(284,1)}
       223:{2,6}:{(191,1),(194,1),(250,1)}
       224:{1,3,7}:{(192,1),(202,1),(242,1),(248,1),(251,1)}
       225:{2,4,7}:{(193,1),(194,1),(249,1),(251,1),(252,1)}
       226:{1,5,7}:{(194,1),(250,1),(252,1),(286,1)}
       227:{2,3,5}:{(195,1),(196,1),(245,1),(253,1),(254,1)}
       228:{2,4,5}:{(196,1),(197,1),(199,1),(253,1),(254,1)}
       229:{1,3,4,5}:{(197,1),(198,1),(200,1),(247,1),(254,1),(255,1),(284,1),(290,1)}
       230:{3,6}:{(199,1),(202,1),(254,1)}
       231:{2,4,6}:{(200,1),(201,1),(203,1),(255,1),(256,1),(257,1),(291,1)}
       232:{1,5,6}:{(201,1),(204,1),(250,1),(257,1),(286,1)}
       233:{2,3,7}:{(202,1),(203,1),(256,1),(258,1)}
       234:{1,4,7}:{(203,1),(204,1),(257,1),(258,1)}
       235:{2,3,6}:{(205,1),(206,1),(217,1),(259,1),(262,1),(314,1)}
       236:{2,5}:{(206,1),(207,1)}
       237:{1,4,5}:{(207,1),(208,1),(210,1),(260,1),(267,1)}
       238:{3,4,5}:{(208,1),(211,1),(220,1),(273,1)}
       239:{2,4,6}:{(209,1),(210,1),(213,1),(260,1),(262,1)}
       240:{1,3,4,6}:{(210,1),(211,1),(212,1),(214,1),(261,1),(262,1),(263,1),(295,1)}
       241:{2,5,6}:{(212,1),(215,1),(223,1),(263,1),(264,1),(269,1)}
       242:{3,7}:{(213,1),(262,1)}
       243:{2,4,7}:{(214,1),(215,1),(263,1),(265,1),(266,1),(296,1)}
       244:{1,5,7}:{(215,1),(216,1),(264,1),(266,1)}
       245:{1,3,5}:{(217,1),(218,1),(227,1),(259,1),(267,1)}
       246:{1,2,4,5}:{(218,1),(219,1),(221,1),(228,1),(260,1),(267,1),(268,1),(269,1),(275,1),(294,1),(297,1),(301,1),(309,1),(310,1)}
       247:{1,3,5}:{(219,1),(220,1),(222,1),(269,1)}
       248:{1,3,6}:{(221,1),(224,1),(230,1),(262,1),(268,1),(270,1)}
       249:{2,4,6}:{(222,1),(223,1),(225,1),(269,1),(270,1),(271,1),(297,1)}
       250:{1,6}:{(223,1),(226,1)}
       251:{2,3,7}:{(224,1),(225,1),(270,1),(272,1),(277,1),(296,1)}
       252:{1,4,7}:{(225,1),(226,1),(271,1),(272,1)}
       253:{2,4}:{(227,1),(267,1),(273,1)}
       254:{3,5}:{(228,1),(230,1),(273,1)}
       255:{2,4,5}:{(229,1),(231,1),(269,1),(274,1),(275,1),(297,1),(301,1)}
       256:{2,3,6}:{(230,1),(231,1),(233,1),(274,1),(276,1)}
       257:{1,4,6}:{(231,1),(232,1),(234,1),(275,1),(276,1)}
       258:{1,3,7}:{(233,1),(234,1),(276,1),(277,1)}
       259:{2,3,5}:{(235,1),(236,1),(245,1),(278,1),(279,1)}
       260:{2,4,5}:{(236,1),(237,1),(239,1),(278,1),(279,1)}
       261:{1,3,4,5}:{(237,1),(238,1),(240,1),(247,1),(279,1),(280,1),(284,1),(303,1)}
       262:{3,6}:{(239,1),(242,1),(279,1)}
       263:{2,4,6}:{(240,1),(241,1),(243,1),(280,1),(281,1),(282,1),(304,1)}
       264:{1,5,6}:{(241,1),(244,1),(250,1),(282,1),(286,1)}
       265:{2,3,7}:{(242,1),(243,1),(281,1),(283,1)}
       266:{1,4,7}:{(243,1),(244,1),(282,1),(283,1)}
       267:{1,4}:{(245,1),(253,1),(278,1)}
       268:{1,3,5}:{(246,1),(248,1),(254,1),(279,1),(284,1),(285,1),(313,1)}
       269:{2,5}:{(247,1),(249,1),(286,1)}
       270:{2,3,6}:{(248,1),(249,1),(251,1),(285,1),(287,1),(291,1),(304,1)}
       271:{1,4,6}:{(249,1),(250,1),(252,1),(286,1),(287,1),(305,1)}
       272:{1,3,7}:{(251,1),(252,1),(287,1),(288,1)}
       273:{3,4}:{(253,1),(254,1)}
       274:{2,3,5}:{(254,1),(255,1),(256,1),(289,1),(290,1)}
       275:{1,4,5}:{(255,1),(257,1),(286,1),(290,1),(305,1)}
       276:{1,3,6}:{(256,1),(257,1),(258,1),(290,1),(291,1)}
       277:{2,7}:{(258,1),(291,1)}
       278:{2,4}:{(259,1),(267,1),(292,1)}
       279:{3,5}:{(260,1),(262,1),(292,1)}
       280:{2,4,5}:{(261,1),(263,1),(269,1),(293,1),(294,1),(297,1),(309,1)}
       281:{2,3,6}:{(262,1),(263,1),(265,1),(293,1),(295,1)}
       282:{1,4,6}:{(263,1),(264,1),(266,1),(294,1),(295,1)}
       283:{1,3,7}:{(265,1),(266,1),(295,1),(296,1)}
       284:{1,3,4}:{(267,1),(268,1),(273,1),(292,1),(297,1)}
       285:{2,3,5}:{(268,1),(269,1),(270,1),(297,1),(298,1),(301,1),(309,1),(311,1),(314,1)}
       286:{1,5}:{(269,1),(271,1)}
       287:{1,3,6}:{(270,1),(271,1),(272,1),(298,1),(299,1)}
       288:{1,2,7}:{(272,1),(277,1),(296,1),(299,1)}
       289:{2,3,4}:{(273,1),(274,1),(297,1),(300,1),(314,1)}
       290:{1,3,5}:{(274,1),(275,1),(276,1),(300,1),(301,1)}
       291:{2,6}:{(276,1),(277,1),(301,1)}
       292:{3,4}:{(278,1),(279,1)}
       293:{2,3,5}:{(279,1),(280,1),(281,1),(302,1),(303,1)}
       294:{1,4,5}:{(280,1),(282,1),(286,1),(303,1),(305,1)}
       295:{1,3,6}:{(281,1),(282,1),(283,1),(303,1),(304,1)}
       296:{2,7}:{(283,1),(304,1)}
       297:{2,4}:{(284,1),(285,1),(305,1)}
       298:{1,3,5}:{(285,1),(286,1),(287,1),(305,1),(306,1),(313,1)}
       299:{1,2,6}:{(287,1),(288,1),(291,1),(304,1),(306,1)}
       300:{1,3,4}:{(289,1),(290,1),(305,1),(307,1),(313,1)}
       301:{2,5}:{(290,1),(291,1),(307,1)}
       302:{2,3,4}:{(292,1),(293,1),(297,1),(308,1),(311,1)}
       303:{1,3,5}:{(293,1),(294,1),(295,1),(308,1),(309,1)}
       304:{2,6}:{(295,1),(296,1),(309,1)}
       305:{1,4}:{(297,1),(298,1)}
       306:{1,2,5}:{(298,1),(299,1),(301,1),(309,1),(310,1)}
       307:{2,4}:{(300,1),(301,1),(311,1)}
       308:{1,3,4}:{(302,1),(303,1),(305,1),(312,1),(313,1)}
       309:{2,5}:{(303,1),(304,1),(312,1)}
       310:{1,2,4}:{(305,1),(306,1),(307,1),(312,1),(313,1)}
       311:{2,3}:{(307,1),(313,1)}
       312:{2,4}:{(308,1),(309,1),(314,1)}
       313:{1,3}:{(310,1),(311,1),(314,1)}
       314:{2,3}:{(312,1),(313,1)}

2535 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2536 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(49,1),(112,1),(141,1),(193,1),(200,1),(207,1),(233,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(164,1),(169,1),(257,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(34,1),(45,1),(89,1),(102,1),(172,1),(185,1),(187,1),(254,1),(279,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(78,1),(155,1),(240,1),(255,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(20,1),(54,1),(67,1),(136,1),(143,1),(198,1),(207,1),(293,1)}
         5:{1,2,3,6}:{(1,1),(17,1),(59,1),(303,1)}
         6:{1,2,4,7}:{(1,1),(15,1),(17,1),(214,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(143,1),(230,1)}
         8:{2,4,5,7}:{(2,1),(20,1),(21,1),(67,1),(71,1),(143,1),(231,1),(321,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(59,1),(127,1),(142,1),(301,1)}
        10:{2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(283,1),(297,1)}
        11:{2,3,4,6,7}:{(3,1),(23,1),(25,1),(66,1),(114,1),(200,1),(228,1),(233,1),(287,1),(302,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(34,1),(82,1),(89,1),(154,1),(172,1),(244,1),(246,1),(254,1),(335,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(29,1),(41,1),(103,1),(181,1),(255,1)}
        14:{1,2,3,6,7}:{(5,1),(31,1),(32,1),(91,1),(164,1),(167,1),(250,1),(259,1),(344,1),(396,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(26,1),(33,1),(34,1),(172,1),(260,1)}
        16:{1,2,3,5,6}:{(5,1),(31,1),(35,1),(36,1),(88,1),(90,1),(93,1),(167,1),(169,1),(175,1),(250,1),(264,1),(338,1),(345,1),(394,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(33,1),(36,1)}
        18:{1,2,4,5,7}:{(6,1),(8,1),(27,1),(34,1),(36,1),(37,1),(89,1),(95,1),(172,1),(254,1),(257,1),(261,1),(346,1)}
        19:{2,3,4,6}:{(7,1),(33,1),(40,1),(41,1),(103,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(34,1),(40,1),(41,1),(277,1),(356,1)}
        21:{2,4,6}:{(8,1),(9,1),(41,1),(42,1)}
        22:{1,3,5,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(105,1),(339,1)}
        23:{1,3,4,6,7}:{(9,1),(11,1),(43,1),(45,1),(91,1),(100,1),(172,1),(183,1),(187,1),(276,1),(279,1),(343,1)}
        24:{2,4,5,6}:{(10,1),(44,1),(46,1),(47,1),(155,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(45,1),(47,1),(327,1),(340,1)}
        26:{2,3,4,7}:{(15,1),(48,1),(49,1),(200,1),(290,1)}
        27:{2,4,5,7}:{(12,1),(49,1),(50,1),(112,1),(116,1),(200,1),(291,1),(369,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(51,1),(59,1),(127,1),(199,1),(301,1)}
        29:{2,3,5,6}:{(13,1),(51,1),(53,1),(54,1),(223,1),(297,1)}
        30:{2,3,4,6,7}:{(13,1),(52,1),(54,1),(69,1),(111,1),(143,1),(227,1),(288,1),(293,1),(302,1)}
        31:{1,2,3,5,7}:{(14,1),(16,1),(56,1),(57,1),(123,1),(128,1),(220,1),(308,1),(375,1),(411,1)}
        32:{1,2,4,6,7}:{(14,1),(17,1),(55,1),(56,1),(57,1),(124,1),(210,1),(296,1),(302,1),(303,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(19,1),(48,1),(58,1),(59,1),(127,1)}
        34:{1,3,5,7}:{(15,1),(18,1),(20,1),(49,1),(58,1),(59,1),(305,1),(375,1)}
        35:{1,2,4,6}:{(16,1),(56,1),(60,1),(61,1),(127,1),(214,1),(216,1),(410,1)}
        36:{1,2,5}:{(17,1),(58,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(50,1),(59,1),(62,1),(127,1),(301,1),(303,1)}
        38:{2,3,4,6,7}:{(19,1),(55,1),(64,1),(69,1),(122,1),(137,1),(143,1),(212,1),(227,1),(302,1),(361,1),(409,1),(425,1)}
        39:{2,3,5,6,7}:{(25,1),(65,1),(66,1),(135,1),(222,1),(228,1)}
        40:{2,3,5}:{(19,1),(58,1),(67,1)}
        41:{2,3,6}:{(20,1),(21,1),(59,1)}
        42:{2,5,6}:{(21,1),(22,1),(71,1)}
        43:{2,4,6,7}:{(21,1),(23,1),(69,1),(71,1),(143,1),(319,1),(321,1)}
        44:{1,4,5,6}:{(22,1),(24,1),(70,1),(73,1),(127,1)}
        45:{1,3,5,7}:{(22,1),(23,1),(25,1),(71,1),(73,1),(145,1),(372,1)}
        46:{3,4,5,6}:{(24,1),(74,1),(199,1),(283,1)}
        47:{2,4,5,7}:{(24,1),(25,1),(66,1),(73,1),(74,1),(200,1)}
        48:{2,3,4,6}:{(26,1),(33,1),(77,1),(78,1),(155,1)}
        49:{2,3,5,7}:{(26,1),(27,1),(34,1),(77,1),(78,1),(333,1),(392,1)}
        50:{2,4,6}:{(27,1),(28,1),(78,1),(79,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(79,1),(81,1),(82,1),(157,1),(339,1)}
        52:{1,3,4,6,7}:{(28,1),(30,1),(80,1),(82,1),(91,1),(152,1),(172,1),(242,1),(246,1),(332,1),(335,1),(343,1)}
        53:{2,4,5,6}:{(29,1),(81,1),(83,1),(84,1),(103,1)}
        54:{2,3,5,7}:{(29,1),(30,1),(82,1),(84,1),(271,1),(340,1)}
        55:{1,3,4,6,7}:{(32,1),(33,1),(38,1),(75,1),(85,1),(86,1),(91,1),(162,1),(165,1),(167,1),(172,1),(258,1),(337,1),(343,1),(396,1),(421,1)}
        56:{1,2,4,7}:{(31,1),(35,1),(86,1),(172,1),(263,1),(421,1)}
        57:{1,2,5,7}:{(32,1),(36,1),(85,1),(88,1),(338,1),(340,1)}
        58:{1,3,5}:{(33,1),(36,1),(40,1),(77,1),(89,1)}
        59:{1,3,6}:{(34,1),(37,1),(41,1),(78,1)}
        60:{1,3,4,6}:{(35,1),(86,1),(92,1),(93,1),(167,1),(260,1),(345,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(89,1),(93,1),(170,1),(338,1),(393,1)}
        62:{1,2,5,6}:{(36,1),(37,1),(42,1),(79,1),(90,1),(95,1),(339,1)}
        63:{1,2,4,6,7}:{(37,1),(43,1),(80,1),(91,1),(95,1),(172,1),(343,1),(344,1),(346,1)}
        64:{2,3,5,7}:{(38,1),(40,1),(85,1),(97,1),(98,1),(271,1),(340,1),(387,1)}
        65:{1,3,5,6,7}:{(39,1),(45,1),(99,1),(100,1),(183,1),(269,1),(276,1)}
        66:{2,4,6,7}:{(39,1),(47,1),(100,1),(101,1)}
        67:{2,4,5}:{(40,1),(89,1),(102,1),(103,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(42,1),(90,1),(103,1),(104,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(43,1),(91,1),(104,1),(183,1),(356,1)}
        70:{2,4,5,6}:{(42,1),(44,1),(103,1),(105,1),(106,1)}
        71:{2,5,7}:{(42,1),(43,1),(45,1)}
        72:{1,3,4,5,6}:{(44,1),(46,1),(105,1),(107,1),(108,1),(171,1),(188,1),(251,1),(266,1),(347,1),(398,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(47,1),(100,1),(106,1),(172,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(101,1),(246,1),(327,1)}
        75:{2,3,4,6,7}:{(48,1),(55,1),(109,1),(114,1),(122,1),(194,1),(200,1),(212,1),(287,1),(302,1),(313,1),(382,1),(414,1)}
        76:{2,3,5,6,7}:{(54,1),(110,1),(111,1),(192,1),(282,1),(288,1)}
        77:{2,3,5}:{(48,1),(58,1),(112,1)}
        78:{2,3,6}:{(49,1),(50,1),(59,1)}
        79:{2,5,6}:{(50,1),(51,1),(116,1)}
        80:{2,4,6,7}:{(50,1),(52,1),(114,1),(116,1),(200,1),(367,1),(369,1)}
        81:{1,4,5,6}:{(51,1),(53,1),(115,1),(118,1),(127,1)}
        82:{1,3,5,7}:{(51,1),(52,1),(54,1),(116,1),(118,1),(202,1),(372,1)}
        83:{3,4,5,6}:{(53,1),(119,1),(142,1),(223,1)}
        84:{2,4,5,7}:{(53,1),(54,1),(111,1),(118,1),(119,1),(143,1)}
        85:{1,3,5,7}:{(55,1),(57,1),(58,1),(64,1),(109,1),(120,1),(121,1),(370,1),(372,1)}
        86:{1,3,4,7}:{(56,1),(60,1),(122,1),(123,1),(375,1)}
        87:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(120,1),(123,1),(124,1),(207,1)}
        88:{1,2,5,6}:{(57,1),(121,1),(124,1),(297,1),(303,1)}
        89:{1,4,5}:{(58,1),(67,1),(112,1),(127,1)}
        90:{1,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(113,1),(127,1),(128,1)}
        91:{1,3,6,7}:{(59,1),(63,1),(69,1),(114,1),(128,1),(375,1)}
        92:{2,3,4,6}:{(60,1),(122,1),(130,1),(131,1),(212,1),(216,1),(230,1),(290,1),(320,1),(368,1)}
        93:{1,3,5}:{(60,1),(61,1),(131,1)}
        94:{1,2,4,5,6}:{(61,1),(62,1),(70,1),(115,1),(124,1),(127,1),(132,1),(133,1),(146,1),(203,1),(205,1),(216,1),(234,1),(294,1),(297,1),(306,1),(371,1),(376,1),(403,1),(410,1)}
        95:{1,2,5,7}:{(62,1),(63,1),(71,1),(116,1),(128,1),(372,1)}
        96:{2,4,5,6,7}:{(66,1),(134,1),(135,1),(222,1),(284,1),(378,1)}
        97:{2,4,5,7}:{(64,1),(67,1),(120,1),(136,1),(137,1),(143,1),(406,1),(425,1)}
        98:{2,3,5,6}:{(64,1),(121,1),(137,1),(212,1),(223,1),(297,1)}
        99:{2,5,6,7}:{(65,1),(71,1),(139,1),(319,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(73,1),(139,1)}
       101:{3,4,6,7}:{(66,1),(74,1),(135,1)}
       102:{3,4,5}:{(67,1),(142,1)}
       103:{2,4,6}:{(67,1),(68,1),(127,1),(142,1),(143,1)}
       104:{2,3,5,7}:{(68,1),(69,1),(71,1),(128,1),(143,1),(145,1)}
       105:{3,5,6}:{(70,1),(142,1),(145,1)}
       106:{2,4,5,7}:{(70,1),(71,1),(73,1),(139,1),(143,1),(145,1)}
       107:{2,4,5,6}:{(72,1),(144,1),(146,1),(147,1),(216,1),(234,1),(297,1)}
       108:{1,3,4,5,7}:{(72,1),(73,1),(74,1),(140,1),(145,1),(147,1),(217,1),(235,1),(298,1),(310,1),(377,1),(413,1)}
       109:{2,3,5,7}:{(75,1),(77,1),(85,1),(149,1),(150,1),(327,1),(340,1),(351,1)}
       110:{1,3,5,6,7}:{(76,1),(82,1),(151,1),(152,1),(242,1),(325,1),(332,1)}
       111:{2,4,6,7}:{(76,1),(84,1),(152,1),(153,1)}
       112:{2,4,5}:{(77,1),(89,1),(154,1),(155,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(79,1),(90,1),(155,1),(156,1),(157,1)}
       114:{2,3,6,7}:{(78,1),(80,1),(91,1),(156,1),(242,1),(392,1)}
       115:{2,4,5,6}:{(79,1),(81,1),(155,1),(157,1),(158,1)}
       116:{2,5,7}:{(79,1),(80,1),(82,1)}
       117:{1,3,4,5,6}:{(81,1),(83,1),(157,1),(159,1),(160,1),(171,1),(247,1),(251,1),(322,1),(383,1),(416,1)}
       118:{1,4,5,7}:{(81,1),(82,1),(84,1),(152,1),(158,1),(172,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(153,1),(187,1),(271,1)}
       120:{1,4,5,7}:{(85,1),(89,1),(97,1),(149,1),(162,1),(172,1),(393,1),(421,1)}
       121:{1,3,5,6}:{(85,1),(88,1),(98,1),(150,1),(162,1),(167,1),(258,1),(339,1)}
       122:{2,3,4,7}:{(86,1),(92,1),(165,1),(166,1),(263,1),(356,1),(392,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(93,1),(166,1),(167,1)}
       124:{1,2,4,6}:{(87,1),(88,1),(162,1),(167,1),(255,1)}
       125:{1,2,5,6,7}:{(88,1),(95,1),(99,1),(151,1),(163,1),(168,1),(269,1),(325,1),(340,1),(344,1),(350,1),(386,1),(395,1)}
       126:{1,3,4,5}:{(89,1),(93,1),(102,1),(154,1),(170,1),(171,1),(393,1),(397,1),(415,1)}
       127:{1,4,6}:{(89,1),(90,1),(103,1),(155,1),(172,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(95,1),(104,1),(156,1),(172,1)}
       129:{1,2,3,6}:{(164,1),(169,1),(173,1),(345,1)}
       130:{1,3,4,6}:{(92,1),(165,1),(173,1),(174,1),(258,1),(260,1),(262,1),(345,1)}
       131:{2,3,5}:{(92,1),(93,1),(170,1),(174,1)}
       132:{1,3,5,6}:{(93,1),(94,1),(105,1),(157,1),(167,1),(171,1),(175,1),(176,1),(345,1),(398,1),(416,1)}
       133:{1,2,4,5,7}:{(94,1),(95,1),(106,1),(158,1),(168,1),(172,1),(176,1),(190,1),(249,1),(252,1),(263,1),(280,1),(336,1),(340,1),(346,1),(395,1),(399,1),(417,1),(421,1)}
       134:{1,4,5,6,7}:{(96,1),(100,1),(177,1),(178,1),(252,1),(269,1),(349,1)}
       135:{3,5,6,7}:{(96,1),(101,1),(327,1),(400,1)}
       136:{3,4,5,7}:{(97,1),(102,1),(181,1),(187,1),(271,1),(415,1),(426,1)}
       137:{2,4,6}:{(97,1),(98,1),(162,1),(181,1)}
       138:{2,3,5,6,7}:{(98,1),(99,1),(104,1),(163,1),(182,1),(183,1),(259,1),(271,1),(340,1),(386,1),(418,1),(420,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(106,1),(183,1)}
       140:{1,3,4,6,7}:{(100,1),(101,1),(108,1),(178,1),(183,1),(184,1),(267,1),(276,1),(349,1),(400,1)}
       141:{2,3,4,5}:{(102,1),(170,1),(185,1),(186,1),(333,1),(397,1)}
       142:{3,4,6}:{(102,1),(103,1),(105,1),(187,1)}
       143:{2,4,7}:{(103,1),(104,1),(172,1),(187,1)}
       144:{2,3,5,6}:{(105,1),(107,1),(186,1),(188,1),(189,1),(398,1)}
       145:{3,5,7}:{(105,1),(106,1),(183,1),(187,1)}
       146:{1,4,5,6}:{(107,1),(188,1),(190,1),(262,1),(339,1)}
       147:{2,4,5,7}:{(107,1),(108,1),(184,1),(189,1),(190,1),(263,1),(280,1),(340,1)}
       148:{2,4,5,6,7}:{(111,1),(191,1),(192,1),(224,1),(282,1),(405,1)}
       149:{2,4,5,7}:{(109,1),(112,1),(120,1),(193,1),(194,1),(200,1),(379,1),(414,1)}
       150:{2,3,5,6}:{(109,1),(121,1),(194,1),(212,1),(283,1),(297,1)}
       151:{2,5,6,7}:{(110,1),(116,1),(196,1),(367,1)}
       152:{1,4,6,7}:{(110,1),(111,1),(118,1),(196,1)}
       153:{3,4,6,7}:{(111,1),(119,1),(192,1)}
       154:{3,4,5}:{(112,1),(199,1)}
       155:{2,4,6}:{(112,1),(113,1),(127,1),(199,1),(200,1)}
       156:{2,3,5,7}:{(113,1),(114,1),(116,1),(128,1),(200,1),(202,1)}
       157:{3,5,6}:{(115,1),(199,1),(202,1)}
       158:{2,4,5,7}:{(115,1),(116,1),(118,1),(196,1),(200,1),(202,1)}
       159:{2,4,5,6}:{(117,1),(201,1),(203,1),(204,1),(216,1),(294,1),(297,1)}
       160:{1,3,4,5,7}:{(117,1),(118,1),(119,1),(197,1),(202,1),(204,1),(217,1),(295,1),(298,1),(358,1),(404,1),(424,1)}
       161:{1,3,4,5,7}:{(120,1),(123,1),(126,1),(136,1),(193,1),(207,1),(208,1),(217,1),(298,1)}
       162:{1,4,6}:{(120,1),(121,1),(137,1),(194,1)}
       163:{1,3,5,6,7}:{(121,1),(125,1),(128,1),(138,1),(195,1),(209,1),(213,1),(298,1),(304,1),(372,1),(411,1)}
       164:{1,2,3,7}:{(129,1),(210,1),(375,1)}
       165:{1,3,4,7}:{(122,1),(130,1),(210,1),(211,1),(307,1),(375,1)}
       166:{2,3,5,7}:{(122,1),(123,1),(131,1),(207,1),(211,1),(212,1)}
       167:{1,3,6}:{(123,1),(124,1),(212,1)}
       168:{1,2,4,6,7}:{(124,1),(125,1),(133,1),(139,1),(196,1),(209,1),(213,1),(229,1),(289,1),(302,1),(319,1),(367,1),(378,1),(405,1)}
       169:{1,2,3,5}:{(129,1),(214,1),(218,1),(305,1)}
       170:{2,4,5}:{(126,1),(131,1),(215,1),(216,1)}
       171:{1,3,4,6}:{(126,1),(127,1),(132,1),(142,1),(199,1),(216,1),(217,1),(410,1),(412,1),(423,1)}
       172:{1,4,7}:{(127,1),(128,1),(143,1),(200,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(210,1),(214,1),(218,1),(303,1)}
       174:{1,3,5}:{(130,1),(131,1),(215,1),(218,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(212,1),(216,1),(219,1),(220,1),(234,1),(294,1),(297,1),(320,1),(368,1)}
       176:{1,3,5,7}:{(132,1),(133,1),(145,1),(202,1),(213,1),(217,1),(220,1),(375,1),(413,1),(424,1)}
       177:{2,4,5,6,7}:{(134,1),(139,1),(221,1),(222,1),(224,1),(311,1)}
       178:{1,3,5,6,7}:{(134,1),(135,1),(140,1),(221,1),(222,1),(298,1)}
       179:{2,4,5,6}:{(137,1),(205,1),(223,1),(224,1),(297,1)}
       180:{2,3,4,5,7}:{(136,1),(141,1),(207,1),(225,1),(226,1),(233,1),(315,1),(364,1),(406,1),(425,1)}
       181:{3,4,6}:{(136,1),(137,1),(223,1)}
       182:{2,4,6,7}:{(137,1),(138,1),(143,1),(209,1),(224,1),(227,1),(425,1)}
       183:{3,6,7}:{(139,1),(145,1)}
       184:{2,4,6,7}:{(140,1),(147,1),(222,1),(228,1),(229,1),(319,1)}
       185:{1,3,4,5}:{(141,1),(215,1),(231,1),(232,1),(305,1)}
       186:{2,3,4,6}:{(141,1),(142,1),(144,1),(216,1),(232,1),(233,1),(368,1),(412,1)}
       187:{3,4,7}:{(142,1),(143,1),(145,1)}
       188:{1,3,5,6}:{(144,1),(146,1),(232,1),(234,1),(235,1)}
       189:{2,3,5,7}:{(144,1),(145,1),(147,1),(228,1),(233,1),(235,1),(413,1)}
       190:{1,4,5,7}:{(146,1),(147,1),(229,1),(235,1),(307,1),(372,1)}
       191:{1,4,5,6,7}:{(148,1),(152,1),(236,1),(237,1),(252,1),(325,1),(385,1)}
       192:{3,5,6,7}:{(148,1),(153,1),(271,1),(418,1)}
       193:{3,4,5,7}:{(149,1),(154,1),(240,1),(246,1),(327,1),(397,1),(422,1)}
       194:{2,4,6}:{(149,1),(150,1),(162,1),(240,1)}
       195:{2,3,5,6,7}:{(150,1),(151,1),(156,1),(163,1),(241,1),(242,1),(259,1),(327,1),(340,1),(350,1),(400,1),(402,1)}
       196:{2,4,6,7}:{(151,1),(152,1),(158,1),(242,1)}
       197:{1,3,4,6,7}:{(152,1),(153,1),(160,1),(237,1),(242,1),(243,1),(323,1),(332,1),(385,1),(418,1)}
       198:{2,3,4,5}:{(154,1),(170,1),(244,1),(245,1),(277,1),(415,1)}
       199:{3,4,6}:{(154,1),(155,1),(157,1),(246,1)}
       200:{2,4,7}:{(155,1),(156,1),(172,1),(246,1)}
       201:{2,3,5,6}:{(157,1),(159,1),(245,1),(247,1),(248,1),(416,1)}
       202:{3,5,7}:{(157,1),(158,1),(242,1),(246,1)}
       203:{1,4,5,6}:{(159,1),(247,1),(249,1),(262,1),(339,1)}
       204:{2,4,5,7}:{(159,1),(160,1),(243,1),(248,1),(249,1),(263,1),(336,1),(340,1)}
       205:{1,4,5,6}:{(162,1),(179,1),(238,1),(251,1),(252,1),(339,1)}
       206:{1,2,3,5,7}:{(164,1),(169,1),(250,1),(253,1),(257,1),(338,1),(341,1)}
       207:{2,4,5,7}:{(161,1),(166,1),(170,1),(254,1),(255,1),(263,1),(340,1)}
       208:{1,3,4,6}:{(161,1),(162,1),(167,1),(181,1),(240,1),(251,1),(255,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(172,1),(182,1),(241,1),(252,1),(421,1)}
       210:{1,2,4,7}:{(164,1),(165,1),(173,1),(257,1)}
       211:{1,3,5,7}:{(165,1),(166,1),(174,1),(254,1),(257,1),(258,1)}
       212:{2,3,6}:{(166,1),(167,1),(255,1),(258,1)}
       213:{1,3,6,7}:{(167,1),(168,1),(176,1),(183,1),(242,1),(259,1),(400,1),(418,1)}
       214:{1,2,4}:{(169,1),(260,1)}
       215:{1,4,5}:{(170,1),(174,1),(262,1)}
       216:{2,4,6}:{(170,1),(171,1),(175,1),(262,1),(263,1)}
       217:{1,3,4,7}:{(171,1),(172,1),(176,1),(187,1),(246,1),(263,1),(421,1),(422,1),(426,1)}
       218:{1,2,5}:{(173,1),(174,1)}
       219:{1,3,5,6}:{(174,1),(175,1),(258,1),(262,1),(264,1),(265,1),(339,1),(345,1)}
       220:{2,3,5,7}:{(175,1),(176,1),(259,1),(263,1),(265,1),(280,1),(336,1),(340,1),(356,1),(392,1)}
       221:{3,5,6,7}:{(177,1),(183,1),(267,1),(271,1)}
       222:{2,5,6,7}:{(178,1),(184,1),(269,1),(340,1)}
       223:{3,5,6}:{(179,1),(181,1),(271,1)}
       224:{2,4,5,7}:{(179,1),(182,1),(252,1),(271,1),(340,1)}
       225:{1,3,4,5,7}:{(180,1),(185,1),(254,1),(273,1),(274,1),(279,1),(341,1),(353,1),(393,1),(397,1),(421,1),(422,1)}
       226:{2,3,4,6}:{(180,1),(181,1),(255,1),(270,1),(274,1),(390,1),(419,1)}
       227:{3,4,6,7}:{(181,1),(182,1),(183,1),(187,1),(271,1),(418,1),(426,1)}
       228:{2,3,6,7}:{(183,1),(184,1),(189,1),(276,1),(400,1)}
       229:{1,4,6,7}:{(184,1),(190,1),(269,1),(276,1)}
       230:{2,3,4}:{(260,1),(277,1)}
       231:{2,4,5}:{(185,1),(277,1),(278,1)}
       232:{1,3,4,6}:{(185,1),(186,1),(188,1),(262,1),(278,1),(279,1),(345,1)}
       233:{2,3,4,7}:{(186,1),(187,1),(189,1),(263,1),(279,1),(392,1),(422,1)}
       234:{2,5,6}:{(188,1),(278,1),(280,1)}
       235:{1,3,5,7}:{(188,1),(189,1),(190,1),(276,1),(279,1),(280,1)}
       236:{2,4,5,6,7}:{(191,1),(196,1),(281,1),(282,1),(284,1),(359,1)}
       237:{1,3,5,6,7}:{(191,1),(192,1),(197,1),(281,1),(282,1),(298,1)}
       238:{2,4,5,6}:{(194,1),(205,1),(283,1),(284,1),(297,1)}
       239:{2,3,4,5,7}:{(193,1),(198,1),(207,1),(285,1),(286,1),(293,1),(316,1),(363,1),(379,1),(414,1)}
       240:{3,4,6}:{(193,1),(194,1),(283,1)}
       241:{2,4,6,7}:{(194,1),(195,1),(200,1),(209,1),(284,1),(287,1),(414,1)}
       242:{3,6,7}:{(196,1),(202,1)}
       243:{2,4,6,7}:{(197,1),(204,1),(282,1),(288,1),(289,1),(367,1)}
       244:{1,3,4,5}:{(198,1),(215,1),(291,1),(292,1),(305,1)}
       245:{2,3,4,6}:{(198,1),(199,1),(201,1),(216,1),(292,1),(293,1),(320,1),(423,1)}
       246:{3,4,7}:{(199,1),(200,1),(202,1)}
       247:{1,3,5,6}:{(201,1),(203,1),(292,1),(294,1),(295,1)}
       248:{2,3,5,7}:{(201,1),(202,1),(204,1),(288,1),(293,1),(295,1),(424,1)}
       249:{1,4,5,7}:{(203,1),(204,1),(289,1),(295,1),(307,1),(372,1)}
       250:{1,2,3,6}:{(206,1),(296,1),(303,1),(373,1)}
       251:{1,3,5,6}:{(205,1),(208,1),(223,1),(283,1),(297,1),(298,1)}
       252:{1,4,5,7}:{(205,1),(209,1),(224,1),(284,1),(298,1),(372,1)}
       253:{1,2,4,7}:{(206,1),(214,1),(296,1),(299,1)}
       254:{1,4,5,7}:{(207,1),(211,1),(215,1),(301,1),(307,1),(372,1)}
       255:{2,4,6}:{(207,1),(208,1),(212,1),(297,1),(301,1)}
       256:{1,3,4,6,7}:{(208,1),(209,1),(213,1),(217,1),(227,1),(287,1),(298,1),(302,1)}
       257:{1,2,5,7}:{(210,1),(211,1),(218,1),(303,1)}
       258:{1,3,6}:{(211,1),(212,1),(301,1),(303,1)}
       259:{2,3,6,7}:{(212,1),(213,1),(220,1),(302,1),(304,1),(319,1),(367,1)}
       260:{1,3,4}:{(214,1),(230,1),(290,1),(305,1)}
       261:{1,2,4,5}:{(214,1),(215,1),(218,1),(231,1),(291,1),(305,1),(306,1)}
       262:{1,4,6}:{(215,1),(216,1),(219,1),(307,1)}
       263:{2,4,7}:{(216,1),(217,1),(220,1),(307,1)}
       264:{1,2,5,6}:{(218,1),(219,1),(234,1),(294,1),(303,1),(306,1),(308,1)}
       265:{1,3,5,7}:{(219,1),(220,1),(304,1),(307,1),(308,1),(372,1),(375,1)}
       266:{3,4,5,6}:{(223,1),(309,1),(310,1),(423,1)}
       267:{3,4,6,7}:{(221,1),(310,1),(311,1)}
       268:{2,3,5,6,7}:{(221,1),(222,1),(228,1),(311,1),(312,1),(315,1)}
       269:{1,5,6,7}:{(222,1),(229,1),(372,1)}
       270:{2,3,5,6}:{(223,1),(226,1),(297,1),(309,1),(314,1),(315,1)}
       271:{3,5,7}:{(223,1),(224,1),(227,1)}
       272:{2,3,4,7}:{(230,1),(299,1),(313,1),(316,1),(414,1)}
       273:{2,4,5,7}:{(225,1),(231,1),(316,1),(317,1),(321,1),(379,1),(381,1),(414,1)}
       274:{1,3,4,6}:{(225,1),(226,1),(301,1),(314,1),(317,1),(373,1),(410,1),(412,1)}
       275:{2,3,4,6,7}:{(226,1),(227,1),(228,1),(233,1),(302,1),(311,1),(315,1),(318,1),(409,1),(425,1)}
       276:{1,3,6,7}:{(228,1),(229,1),(235,1),(319,1)}
       277:{2,3,5}:{(230,1),(231,1),(305,1),(320,1)}
       278:{2,4,6}:{(231,1),(232,1),(234,1),(320,1),(321,1)}
       279:{1,3,4,7}:{(232,1),(233,1),(235,1),(307,1),(321,1),(375,1)}
       280:{2,5,7}:{(234,1),(235,1),(319,1),(321,1)}
       281:{3,5,6,7}:{(236,1),(242,1),(323,1),(327,1)}
       282:{2,5,6,7}:{(237,1),(243,1),(325,1),(340,1)}
       283:{3,5,6}:{(238,1),(240,1),(327,1)}
       284:{2,4,5,7}:{(238,1),(241,1),(252,1),(327,1),(340,1)}
       285:{1,3,4,5,7}:{(239,1),(244,1),(254,1),(329,1),(330,1),(335,1),(341,1),(389,1),(393,1),(415,1),(421,1),(426,1)}
       286:{2,3,4,6}:{(239,1),(240,1),(255,1),(326,1),(330,1),(354,1),(401,1)}
       287:{3,4,6,7}:{(240,1),(241,1),(242,1),(246,1),(327,1),(400,1),(422,1)}
       288:{2,3,6,7}:{(242,1),(243,1),(248,1),(332,1),(418,1)}
       289:{1,4,6,7}:{(243,1),(249,1),(325,1),(332,1)}
       290:{2,3,4}:{(260,1),(333,1)}
       291:{2,4,5}:{(244,1),(333,1),(334,1)}
       292:{1,3,4,6}:{(244,1),(245,1),(247,1),(262,1),(334,1),(335,1),(345,1)}
       293:{2,3,4,7}:{(245,1),(246,1),(248,1),(263,1),(335,1),(356,1),(426,1)}
       294:{2,5,6}:{(247,1),(334,1),(336,1)}
       295:{1,3,5,7}:{(247,1),(248,1),(249,1),(332,1),(335,1),(336,1)}
       296:{1,2,4,6}:{(250,1),(253,1),(337,1),(338,1)}
       297:{2,5,6}:{(251,1),(255,1),(339,1),(340,1)}
       298:{1,3,5,7}:{(251,1),(252,1),(256,1),(271,1),(327,1),(340,1)}
       299:{1,3,4,7}:{(253,1),(260,1),(272,1),(328,1),(337,1),(341,1),(421,1)}
       300:{1,2,4,5,7}:{(253,1),(254,1),(257,1),(261,1),(273,1),(329,1),(338,1),(341,1),(342,1),(346,1),(393,1),(395,1),(421,1)}
       301:{1,4,6}:{(254,1),(255,1),(258,1),(339,1)}
       302:{2,4,6,7}:{(255,1),(256,1),(259,1),(263,1),(340,1),(343,1)}
       303:{1,2,6}:{(257,1),(258,1)}
       304:{1,3,6,7}:{(258,1),(259,1),(265,1),(343,1),(344,1)}
       305:{1,3,5}:{(260,1),(261,1),(277,1),(333,1),(345,1)}
       306:{1,2,4,6}:{(261,1),(262,1),(264,1),(278,1),(334,1),(345,1),(346,1)}
       307:{1,4,7}:{(262,1),(263,1),(265,1)}
       308:{1,2,5,7}:{(264,1),(265,1),(280,1),(336,1),(344,1),(346,1)}
       309:{2,4,5,6}:{(266,1),(270,1),(347,1),(348,1),(419,1)}
       310:{3,4,5,7}:{(266,1),(267,1),(271,1),(348,1),(426,1)}
       311:{2,4,6,7}:{(267,1),(268,1),(348,1),(349,1)}
       312:{1,3,5,6,7}:{(268,1),(269,1),(276,1),(349,1),(350,1),(353,1),(400,1)}
       313:{2,3,4,6}:{(272,1),(337,1),(351,1),(354,1),(401,1)}
       314:{1,3,5,6}:{(270,1),(274,1),(339,1),(347,1),(352,1),(353,1),(398,1)}
       315:{2,3,5,7}:{(270,1),(271,1),(275,1),(340,1),(348,1),(353,1)}
       316:{2,3,5,7}:{(272,1),(273,1),(277,1),(341,1),(351,1),(354,1),(356,1)}
       317:{2,4,6}:{(273,1),(274,1),(352,1),(354,1)}
       318:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(279,1),(343,1),(349,1),(353,1),(355,1),(396,1),(400,1),(421,1),(422,1)}
       319:{2,6,7}:{(276,1),(280,1)}
       320:{2,3,6}:{(277,1),(278,1),(345,1),(356,1)}
       321:{2,4,7}:{(278,1),(279,1),(280,1),(356,1)}
       322:{3,4,5,6}:{(283,1),(357,1),(358,1),(412,1)}
       323:{3,4,6,7}:{(281,1),(358,1),(359,1)}
       324:{2,3,5,6,7}:{(281,1),(282,1),(288,1),(359,1),(360,1),(363,1)}
       325:{1,5,6,7}:{(282,1),(289,1),(372,1)}
       326:{2,3,5,6}:{(283,1),(286,1),(297,1),(357,1),(362,1),(363,1)}
       327:{3,5,7}:{(283,1),(284,1),(287,1)}
       328:{2,3,4,7}:{(290,1),(299,1),(361,1),(364,1),(425,1)}
       329:{2,4,5,7}:{(285,1),(291,1),(364,1),(365,1),(369,1),(406,1),(408,1),(425,1)}
       330:{1,3,4,6}:{(285,1),(286,1),(301,1),(362,1),(365,1),(373,1),(410,1),(423,1)}
       331:{2,3,4,6,7}:{(286,1),(287,1),(288,1),(293,1),(302,1),(359,1),(363,1),(366,1),(382,1),(414,1)}
       332:{1,3,6,7}:{(288,1),(289,1),(295,1),(367,1)}
       333:{2,3,5}:{(290,1),(291,1),(305,1),(368,1)}
       334:{2,4,6}:{(291,1),(292,1),(294,1),(368,1),(369,1)}
       335:{1,3,4,7}:{(292,1),(293,1),(295,1),(307,1),(369,1),(375,1)}
       336:{2,5,7}:{(294,1),(295,1),(367,1),(369,1)}
       337:{1,3,4,6}:{(296,1),(299,1),(313,1),(361,1),(370,1),(373,1),(410,1)}
       338:{1,2,5}:{(296,1),(370,1)}
       339:{1,5,6}:{(297,1),(301,1),(372,1)}
       340:{2,5,7}:{(297,1),(298,1),(302,1),(372,1)}
       341:{1,3,5,7}:{(299,1),(300,1),(305,1),(316,1),(364,1),(370,1),(373,1),(375,1)}
       342:{1,2,4,6}:{(300,1),(301,1),(303,1),(317,1),(365,1),(371,1),(373,1),(410,1)}
       343:{1,4,6,7}:{(301,1),(302,1),(304,1),(307,1),(372,1)}
       344:{1,2,6,7}:{(303,1),(304,1),(308,1),(319,1),(367,1)}
       345:{1,3,6}:{(305,1),(306,1),(320,1),(368,1),(375,1)}
       346:{1,2,4,7}:{(306,1),(307,1),(308,1),(321,1),(369,1),(375,1)}
       347:{1,4,5,6}:{(309,1),(314,1),(376,1),(377,1),(410,1)}
       348:{2,4,5,7}:{(309,1),(310,1),(311,1),(315,1),(377,1),(425,1)}
       349:{1,4,6,7}:{(311,1),(312,1),(377,1),(378,1)}
       350:{2,5,6,7}:{(312,1),(319,1),(378,1),(381,1)}
       351:{2,3,5}:{(313,1),(370,1),(379,1)}
       352:{2,5,6}:{(314,1),(317,1),(381,1)}
       353:{1,3,5,7}:{(314,1),(315,1),(318,1),(372,1),(377,1),(381,1),(413,1)}
       354:{2,3,6}:{(316,1),(317,1),(373,1)}
       355:{2,4,6,7}:{(317,1),(318,1),(319,1),(321,1),(381,1),(382,1),(414,1)}
       356:{2,3,7}:{(320,1),(321,1),(375,1)}
       357:{2,4,5,6}:{(322,1),(326,1),(383,1),(384,1),(401,1)}
       358:{3,4,5,7}:{(322,1),(323,1),(327,1),(384,1),(422,1)}
       359:{2,4,6,7}:{(323,1),(324,1),(384,1),(385,1)}
       360:{1,3,5,6,7}:{(324,1),(325,1),(332,1),(385,1),(386,1),(389,1),(418,1)}
       361:{2,3,4,6}:{(328,1),(337,1),(387,1),(390,1),(419,1)}
       362:{1,3,5,6}:{(326,1),(330,1),(339,1),(383,1),(388,1),(389,1),(416,1)}
       363:{2,3,5,7}:{(326,1),(327,1),(331,1),(340,1),(384,1),(389,1)}
       364:{2,3,5,7}:{(328,1),(329,1),(333,1),(341,1),(387,1),(390,1),(392,1)}
       365:{2,4,6}:{(329,1),(330,1),(388,1),(390,1)}
       366:{1,3,4,6,7}:{(330,1),(331,1),(332,1),(335,1),(343,1),(385,1),(389,1),(391,1),(396,1),(418,1),(421,1),(426,1)}
       367:{2,6,7}:{(332,1),(336,1)}
       368:{2,3,6}:{(333,1),(334,1),(345,1),(392,1)}
       369:{2,4,7}:{(334,1),(335,1),(336,1),(392,1)}
       370:{1,3,5}:{(337,1),(338,1),(351,1),(387,1),(393,1)}
       371:{1,2,5,6}:{(338,1),(339,1),(342,1),(352,1),(388,1),(394,1),(395,1)}
       372:{1,5,7}:{(339,1),(340,1),(343,1)}
       373:{1,3,6}:{(341,1),(342,1),(354,1),(390,1)}
       374:{1,2,4,6,7}:{(342,1),(343,1),(344,1),(346,1),(355,1),(391,1),(395,1),(396,1),(421,1)}
       375:{1,3,7}:{(345,1),(346,1),(356,1),(392,1)}
       376:{2,4,5,6}:{(347,1),(352,1),(398,1),(399,1),(401,1)}
       377:{1,4,5,7}:{(347,1),(348,1),(349,1),(353,1),(399,1),(421,1)}
       378:{2,4,6,7}:{(349,1),(350,1),(399,1),(400,1)}
       379:{2,4,5}:{(351,1),(393,1),(397,1),(401,1)}
       380:{2,3,5,6}:{(351,1),(352,1),(354,1),(394,1),(398,1),(401,1),(402,1)}
       381:{2,5,7}:{(352,1),(353,1),(355,1)}
       382:{2,3,6,7}:{(354,1),(355,1),(356,1),(396,1),(400,1),(402,1)}
       383:{1,4,5,6}:{(357,1),(362,1),(403,1),(404,1),(410,1)}
       384:{2,4,5,7}:{(357,1),(358,1),(359,1),(363,1),(404,1),(414,1)}
       385:{1,4,6,7}:{(359,1),(360,1),(404,1),(405,1)}
       386:{2,5,6,7}:{(360,1),(367,1),(405,1),(408,1)}
       387:{2,3,5}:{(361,1),(370,1),(406,1)}
       388:{2,5,6}:{(362,1),(365,1),(408,1)}
       389:{1,3,5,7}:{(362,1),(363,1),(366,1),(372,1),(404,1),(408,1),(424,1)}
       390:{2,3,6}:{(364,1),(365,1),(373,1)}
       391:{2,4,6,7}:{(365,1),(366,1),(367,1),(369,1),(408,1),(409,1),(425,1)}
       392:{2,3,7}:{(368,1),(369,1),(375,1)}
       393:{1,4,5}:{(370,1),(379,1),(406,1),(410,1)}
       394:{1,3,5,6}:{(370,1),(371,1),(373,1),(380,1),(407,1),(410,1),(411,1)}
       395:{1,2,5,7}:{(371,1),(372,1),(374,1),(381,1),(408,1),(411,1)}
       396:{1,3,6,7}:{(373,1),(374,1),(375,1),(382,1),(409,1),(411,1)}
       397:{3,4,5}:{(379,1),(412,1)}
       398:{3,5,6}:{(376,1),(412,1),(413,1)}
       399:{2,4,5,7}:{(376,1),(377,1),(378,1),(381,1),(413,1),(414,1)}
       400:{3,6,7}:{(378,1),(413,1)}
       401:{2,4,6}:{(379,1),(380,1),(410,1),(412,1),(414,1)}
       402:{2,3,5,7}:{(380,1),(381,1),(382,1),(411,1),(413,1),(414,1)}
       403:{2,4,5,6}:{(383,1),(388,1),(416,1),(417,1),(419,1)}
       404:{1,4,5,7}:{(383,1),(384,1),(385,1),(389,1),(417,1),(421,1)}
       405:{2,4,6,7}:{(385,1),(386,1),(417,1),(418,1)}
       406:{2,4,5}:{(387,1),(393,1),(415,1),(419,1)}
       407:{2,3,5,6}:{(387,1),(388,1),(390,1),(394,1),(416,1),(419,1),(420,1)}
       408:{2,5,7}:{(388,1),(389,1),(391,1)}
       409:{2,3,6,7}:{(390,1),(391,1),(392,1),(396,1),(418,1),(420,1)}
       410:{1,4,6}:{(393,1),(394,1),(401,1),(419,1),(421,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(396,1),(402,1),(420,1),(421,1)}
       412:{3,4,6}:{(397,1),(398,1),(401,1),(422,1)}
       413:{3,5,7}:{(398,1),(399,1),(400,1),(422,1)}
       414:{2,4,7}:{(401,1),(402,1),(421,1),(422,1)}
       415:{3,4,5}:{(406,1),(423,1)}
       416:{3,5,6}:{(403,1),(423,1),(424,1)}
       417:{2,4,5,7}:{(403,1),(404,1),(405,1),(408,1),(424,1),(425,1)}
       418:{3,6,7}:{(405,1),(424,1)}
       419:{2,4,6}:{(406,1),(407,1),(410,1),(423,1),(425,1)}
       420:{2,3,5,7}:{(407,1),(408,1),(409,1),(411,1),(424,1),(425,1)}
       421:{1,4,7}:{(410,1),(411,1),(414,1),(425,1)}
       422:{3,4,7}:{(412,1),(413,1),(414,1)}
       423:{3,4,6}:{(415,1),(416,1),(419,1),(426,1)}
       424:{3,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       425:{2,4,7}:{(419,1),(420,1),(421,1),(426,1)}
       426:{3,4,7}:{(423,1),(424,1),(425,1)}

2537 :   0:{2,3,4,5}:{(2,1),(3,1),(54,1),(106,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(35,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(86,1),(92,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(82,1),(131,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(69,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(61,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(145,1),(167,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(61,1),(113,1),(118,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(109,1),(149,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(86,1),(125,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(47,1),(98,1)}
        15:{1,2,3,7}:{(5,1),(33,1),(89,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(85,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(35,1),(36,1),(37,1),(86,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(40,1),(41,1),(131,1),(160,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(41,1),(159,1),(173,1)}
        21:{2,3,4,6}:{(9,1),(34,1),(42,1),(44,1),(47,1),(96,1),(98,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(40,1),(45,1),(46,1),(93,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(41,1),(43,1),(46,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(47,1)}
        25:{2,4,6}:{(10,1),(11,1),(45,1),(47,1),(48,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(46,1),(48,1),(89,1),(135,1),(139,1)}
        27:{3,4,5,6}:{(49,1),(50,1),(118,1),(153,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(52,1),(53,1)}
        29:{2,3,4}:{(17,1),(54,1)}
        30:{2,4,5}:{(13,1),(54,1),(55,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(52,1),(55,1),(56,1),(61,1),(113,1),(145,1)}
        32:{2,3,4,7}:{(14,1),(53,1),(56,1),(72,1),(122,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(57,1),(59,1),(61,1),(111,1),(113,1)}
        35:{1,2,5}:{(16,1),(59,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(54,1),(61,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(55,1),(60,1),(61,1),(62,1),(113,1)}
        38:{4,5,6,7}:{(63,1),(174,1)}
        39:{3,4,6,7}:{(20,1),(63,1),(64,1)}
        40:{1,4,5,6}:{(19,1),(22,1),(65,1),(66,1),(113,1),(150,1)}
        41:{2,4,5,7}:{(19,1),(20,1),(23,1),(64,1),(66,1),(149,1),(169,1)}
        42:{2,3,4,7}:{(21,1),(57,1),(67,1),(72,1),(122,1)}
        43:{2,3,6,7}:{(23,1),(64,1),(68,1)}
        44:{2,3,5}:{(21,1),(59,1),(69,1)}
        45:{2,5,6}:{(22,1),(25,1),(71,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(26,1),(66,1),(68,1),(71,1),(119,1)}
        47:{2,3,6}:{(24,1),(25,1),(61,1),(72,1)}
        48:{2,4,7}:{(25,1),(26,1),(71,1),(72,1)}
        49:{2,4,5,6}:{(27,1),(28,1),(75,1),(76,1),(98,1),(140,1)}
        50:{3,4,5,7}:{(27,1),(74,1),(76,1),(139,1),(165,1)}
        51:{2,3,4,6}:{(29,1),(34,1),(77,1),(79,1),(82,1),(129,1),(131,1)}
        52:{1,3,5,6}:{(28,1),(31,1),(75,1),(80,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(28,1),(32,1),(76,1),(78,1),(81,1)}
        54:{2,3,5}:{(29,1),(30,1),(36,1),(82,1)}
        55:{2,4,6}:{(30,1),(31,1),(80,1),(82,1),(83,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(81,1),(83,1),(89,1),(135,1),(159,1)}
        57:{1,3,4,7}:{(33,1),(34,1),(42,1),(77,1),(84,1),(89,1),(135,1)}
        58:{1,2,5,7}:{(33,1),(35,1),(84,1),(85,1)}
        59:{1,3,5}:{(34,1),(35,1),(44,1),(79,1),(86,1)}
        60:{1,2,5,6}:{(35,1),(37,1),(45,1),(80,1),(85,1),(87,1),(88,1)}
        61:{1,3,6}:{(36,1),(37,1),(47,1),(82,1),(89,1)}
        62:{1,2,4,7}:{(37,1),(48,1),(83,1),(88,1),(89,1),(135,1)}
        63:{3,5,6,7}:{(38,1),(39,1),(90,1),(173,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(43,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(40,1),(45,1),(93,1),(94,1),(98,1),(140,1),(163,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(46,1),(91,1),(94,1),(135,1),(162,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(84,1),(95,1),(96,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(91,1),(97,1),(138,1)}
        69:{2,4,5}:{(44,1),(86,1),(92,1),(98,1)}
        70:{2,3,5,6}:{(44,1),(45,1),(47,1),(87,1),(93,1),(96,1),(98,1),(99,1),(140,1)}
        71:{2,5,7}:{(45,1),(46,1),(48,1),(97,1)}
        72:{2,3,7}:{(47,1),(48,1),(89,1)}
        73:{4,5,6,7}:{(100,1),(170,1)}
        74:{3,4,6,7}:{(50,1),(100,1),(101,1)}
        75:{1,4,5,6}:{(49,1),(52,1),(102,1),(103,1),(113,1),(150,1)}
        76:{2,4,5,7}:{(49,1),(50,1),(53,1),(101,1),(103,1),(122,1),(155,1)}
        77:{2,3,4,7}:{(51,1),(57,1),(104,1),(109,1),(149,1)}
        78:{2,3,6,7}:{(53,1),(101,1),(105,1)}
        79:{2,3,5}:{(51,1),(59,1),(106,1)}
        80:{2,5,6}:{(52,1),(55,1),(108,1)}
        81:{1,3,5,7}:{(52,1),(53,1),(56,1),(103,1),(105,1),(108,1),(146,1)}
        82:{2,3,6}:{(54,1),(55,1),(61,1),(109,1)}
        83:{2,4,7}:{(55,1),(56,1),(108,1),(109,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(67,1),(104,1),(110,1),(111,1)}
        85:{1,2,6}:{(58,1),(111,1)}
        86:{1,4,5}:{(59,1),(69,1),(106,1),(113,1)}
        87:{1,3,5,6}:{(59,1),(60,1),(61,1),(70,1),(107,1),(111,1),(113,1),(114,1),(150,1)}
        88:{1,2,5,7}:{(60,1),(62,1),(71,1),(108,1),(112,1),(114,1)}
        89:{1,3,7}:{(61,1),(62,1),(72,1),(109,1)}
        90:{2,5,6,7}:{(63,1),(64,1),(115,1),(169,1)}
        91:{1,4,6,7}:{(64,1),(66,1),(68,1),(115,1),(117,1)}
        92:{3,4,5}:{(69,1),(118,1)}
        93:{3,5,6}:{(65,1),(118,1),(119,1)}
        94:{2,4,5,7}:{(65,1),(66,1),(71,1),(117,1),(119,1),(122,1),(155,1),(170,1)}
        95:{2,4,5,7}:{(67,1),(69,1),(110,1),(116,1),(120,1),(122,1),(155,1)}
        96:{2,3,6}:{(67,1),(111,1),(120,1)}
        97:{2,6,7}:{(68,1),(71,1)}
        98:{2,4,6}:{(69,1),(70,1),(113,1),(118,1),(122,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(72,1),(114,1),(119,1),(121,1),(122,1),(155,1)}
       100:{3,5,6,7}:{(73,1),(74,1),(123,1),(165,1)}
       101:{2,4,6,7}:{(74,1),(76,1),(78,1),(123,1),(124,1)}
       102:{2,4,5,6}:{(75,1),(80,1),(126,1),(127,1),(131,1),(160,1),(171,1)}
       103:{1,4,5,7}:{(75,1),(76,1),(81,1),(124,1),(127,1),(135,1),(162,1)}
       104:{2,3,5,7}:{(77,1),(79,1),(84,1),(128,1),(129,1)}
       105:{1,3,6,7}:{(78,1),(81,1),(124,1),(130,1),(158,1)}
       106:{2,4,5}:{(79,1),(86,1),(125,1),(131,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(126,1),(129,1),(131,1),(132,1),(160,1)}
       108:{2,5,7}:{(80,1),(81,1),(83,1),(130,1)}
       109:{2,3,7}:{(82,1),(83,1),(89,1)}
       110:{1,4,5,7}:{(84,1),(86,1),(95,1),(128,1),(133,1),(135,1),(162,1)}
       111:{1,3,6}:{(84,1),(85,1),(96,1),(129,1),(133,1)}
       112:{1,2,6,7}:{(85,1),(88,1),(97,1),(130,1),(134,1)}
       113:{1,4,6}:{(86,1),(87,1),(98,1),(131,1),(135,1)}
       114:{1,3,5,7}:{(87,1),(88,1),(89,1),(99,1),(132,1),(134,1),(135,1),(162,1)}
       115:{1,5,6,7}:{(90,1),(91,1),(136,1),(162,1)}
       116:{3,4,5,7}:{(92,1),(95,1),(137,1),(139,1),(165,1)}
       117:{2,4,6,7}:{(91,1),(94,1),(97,1),(136,1),(138,1),(164,1)}
       118:{3,4,6}:{(92,1),(93,1),(98,1),(139,1)}
       119:{3,5,7}:{(93,1),(94,1),(138,1),(139,1)}
       120:{2,4,6}:{(95,1),(96,1),(133,1),(137,1),(140,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(99,1),(134,1),(138,1),(141,1)}
       122:{2,4,7}:{(98,1),(99,1),(135,1),(139,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(155,1)}
       124:{1,4,6,7}:{(101,1),(103,1),(105,1),(142,1),(144,1)}
       125:{3,4,5}:{(106,1),(145,1)}
       126:{3,5,6}:{(102,1),(145,1),(146,1)}
       127:{2,4,5,7}:{(102,1),(103,1),(108,1),(144,1),(146,1),(149,1),(169,1),(174,1)}
       128:{2,4,5,7}:{(104,1),(106,1),(110,1),(143,1),(147,1),(149,1),(169,1)}
       129:{2,3,6}:{(104,1),(111,1),(147,1)}
       130:{2,6,7}:{(105,1),(108,1)}
       131:{2,4,6}:{(106,1),(107,1),(113,1),(145,1),(149,1)}
       132:{2,3,5,7}:{(107,1),(108,1),(109,1),(114,1),(146,1),(148,1),(149,1),(169,1)}
       133:{1,4,6}:{(110,1),(111,1),(120,1),(147,1),(150,1)}
       134:{1,3,6,7}:{(111,1),(112,1),(114,1),(121,1),(148,1),(151,1)}
       135:{1,4,7}:{(113,1),(114,1),(122,1),(149,1)}
       136:{2,5,6,7}:{(115,1),(117,1),(152,1),(155,1)}
       137:{3,4,6}:{(116,1),(120,1),(153,1)}
       138:{3,6,7}:{(117,1),(119,1)}
       139:{3,4,7}:{(118,1),(119,1),(122,1)}
       140:{2,5,6}:{(120,1),(150,1),(153,1),(155,1)}
       141:{2,4,6,7}:{(120,1),(121,1),(122,1),(151,1),(154,1),(155,1)}
       142:{1,5,6,7}:{(123,1),(124,1),(156,1),(162,1)}
       143:{3,4,5,7}:{(125,1),(128,1),(157,1),(159,1),(173,1)}
       144:{2,4,6,7}:{(124,1),(127,1),(130,1),(156,1),(158,1),(172,1)}
       145:{3,4,6}:{(125,1),(126,1),(131,1),(159,1)}
       146:{3,5,7}:{(126,1),(127,1),(158,1),(159,1)}
       147:{2,4,6}:{(128,1),(129,1),(133,1),(157,1),(160,1)}
       148:{2,3,6,7}:{(129,1),(130,1),(132,1),(134,1),(158,1),(161,1)}
       149:{2,4,7}:{(131,1),(132,1),(135,1),(159,1)}
       150:{1,5,6}:{(133,1),(140,1),(160,1),(162,1)}
       151:{1,4,6,7}:{(133,1),(134,1),(135,1),(141,1),(161,1),(162,1)}
       152:{3,5,6,7}:{(136,1),(138,1),(164,1),(165,1)}
       153:{3,5,6}:{(137,1),(140,1),(163,1),(165,1)}
       154:{3,4,6,7}:{(137,1),(138,1),(139,1),(141,1),(164,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(165,1)}
       156:{2,5,6,7}:{(142,1),(144,1),(166,1),(169,1)}
       157:{3,4,6}:{(143,1),(147,1),(167,1)}
       158:{3,6,7}:{(144,1),(146,1)}
       159:{3,4,7}:{(145,1),(146,1),(149,1)}
       160:{2,5,6}:{(147,1),(150,1),(167,1),(169,1)}
       161:{2,4,6,7}:{(147,1),(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{4,5,6}:{(153,1),(170,1)}
       164:{4,6,7}:{(152,1),(170,1)}
       165:{3,5,7}:{(153,1),(154,1),(155,1),(170,1)}
       166:{3,5,6,7}:{(156,1),(158,1),(172,1),(173,1)}
       167:{3,5,6}:{(157,1),(160,1),(171,1),(173,1)}
       168:{3,4,6,7}:{(157,1),(158,1),(159,1),(161,1),(172,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(167,1),(174,1)}
       172:{4,6,7}:{(166,1),(174,1)}
       173:{3,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2538 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2539 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2540 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2541 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2542 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(138,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(156,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(43,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(114,1),(153,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(138,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(168,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(131,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(153,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(75,1),(105,1),(113,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(111,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(58,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(94,1),(134,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(113,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(43,1),(44,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(44,1)}
        33:{2,3,5,6}:{(24,1),(43,1),(46,1),(80,1),(105,1),(118,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(44,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(111,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(134,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(60,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{1,2,3,5,6}:{(33,1),(56,1),(57,1),(94,1),(124,1),(132,1),(134,1)}
        43:{2,3,5,7}:{(31,1),(33,1),(49,1),(58,1),(85,1)}
        44:{1,3,4,7}:{(31,1),(32,1),(34,1),(58,1)}
        45:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(59,1),(60,1),(130,1),(158,1)}
        46:{2,4,6}:{(33,1),(34,1),(58,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(94,1)}
        48:{2,3,4,5,6}:{(35,1),(60,1),(63,1),(64,1),(132,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(43,1),(66,1),(118,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(44,1),(66,1),(67,1),(69,1),(78,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(43,1),(65,1),(73,1),(103,1),(112,1),(152,1)}
        57:{1,2,4,6}:{(42,1),(46,1),(73,1),(74,1),(75,1),(151,1)}
        58:{2,4,7}:{(43,1),(44,1),(46,1)}
        59:{1,3,4,5,7}:{(44,1),(45,1),(47,1),(67,1),(77,1),(78,1),(107,1),(112,1),(142,1)}
        60:{2,3,4,6}:{(45,1),(68,1),(78,1),(150,1),(172,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(76,1),(80,1),(118,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(78,1),(81,1),(82,1),(115,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(79,1),(82,1),(152,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(134,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(58,1),(85,1),(97,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(60,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(58,1),(92,1),(167,1)}
        74:{1,3,4,6}:{(57,1),(61,1),(91,1),(92,1),(94,1),(134,1)}
        75:{1,2,4,5}:{(57,1),(62,1),(94,1),(131,1)}
        76:{2,3,4,7}:{(58,1),(61,1),(92,1),(96,1)}
        77:{2,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(96,1),(97,1)}
        78:{1,3,4,6}:{(59,1),(60,1),(86,1),(97,1),(128,1),(134,1),(160,1)}
        79:{2,3,4,6,7}:{(60,1),(64,1),(87,1),(98,1),(166,1),(182,1)}
        80:{2,3,5}:{(61,1),(62,1),(94,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(97,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(98,1),(101,1),(137,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(113,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(76,1),(102,1),(104,1),(118,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(78,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(79,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{2,3,4,6}:{(74,1),(110,1),(111,1),(150,1),(151,1)}
        92:{1,3,4,7}:{(73,1),(74,1),(76,1),(110,1),(112,1)}
        93:{1,2,4,5,7}:{(73,1),(75,1),(77,1),(103,1),(112,1),(113,1),(142,1),(149,1)}
        94:{1,3,5}:{(74,1),(75,1),(80,1),(111,1)}
        95:{1,2,4,5,6}:{(75,1),(81,1),(113,1),(115,1),(116,1),(151,1),(174,1),(177,1)}
        96:{2,3,5,7}:{(76,1),(77,1),(80,1),(112,1),(118,1)}
        97:{2,4,6}:{(77,1),(78,1),(105,1),(118,1)}
        98:{1,3,4,6,7}:{(78,1),(79,1),(82,1),(106,1),(119,1),(148,1),(154,1),(175,1)}
        99:{2,3,4,5}:{(80,1),(114,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(115,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(119,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(92,1),(122,1),(123,1),(134,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(97,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(98,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(92,1),(130,1),(167,1)}
       111:{2,3,5}:{(91,1),(94,1),(131,1)}
       112:{1,3,5,7}:{(92,1),(93,1),(94,1),(96,1),(130,1),(134,1)}
       113:{1,2,4,6}:{(93,1),(97,1),(124,1),(134,1),(160,1),(165,1)}
       114:{1,3,4,5}:{(94,1),(99,1),(131,1),(136,1)}
       115:{1,3,5,6}:{(94,1),(95,1),(100,1),(132,1),(134,1),(136,1),(137,1)}
       116:{1,2,4,5,7}:{(95,1),(101,1),(135,1),(137,1),(167,1),(183,1),(184,1)}
       117:{2,3,4,5,7}:{(96,1),(99,1),(125,1),(133,1),(138,1),(140,1),(170,1)}
       118:{2,3,6}:{(96,1),(97,1),(134,1)}
       119:{2,4,6,7}:{(97,1),(98,1),(101,1),(127,1),(139,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(136,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(137,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(113,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(118,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(119,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(112,1),(149,1),(150,1)}
       131:{2,4,5}:{(111,1),(114,1),(151,1)}
       132:{2,3,5,6}:{(111,1),(115,1),(150,1),(151,1),(152,1),(177,1)}
       133:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(149,1),(153,1),(155,1),(171,1),(179,1)}
       134:{1,3,6}:{(112,1),(113,1),(118,1),(150,1)}
       135:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(154,1),(175,1),(178,1)}
       136:{1,3,4,6}:{(114,1),(115,1),(120,1),(151,1),(155,1)}
       137:{1,3,5,7}:{(115,1),(116,1),(121,1),(152,1),(154,1),(155,1)}
       138:{2,3,4,6}:{(117,1),(118,1),(145,1),(153,1),(156,1)}
       139:{2,3,6,7}:{(118,1),(119,1),(121,1),(154,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(155,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(134,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(135,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(139,1),(161,1),(163,1),(170,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(133,1),(165,1),(167,1),(184,1)}
       150:{2,3,6}:{(130,1),(134,1),(165,1)}
       151:{2,4,6}:{(131,1),(132,1),(136,1),(167,1)}
       152:{2,3,5,7}:{(132,1),(137,1),(166,1),(167,1),(184,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(138,1),(160,1),(165,1),(168,1),(180,1)}
       154:{1,3,6,7}:{(134,1),(135,1),(137,1),(139,1),(166,1)}
       155:{1,3,4,7}:{(136,1),(137,1),(140,1),(167,1)}
       156:{2,3,5,6}:{(138,1),(162,1),(168,1),(170,1)}
       157:{2,3,4,6,7}:{(138,1),(139,1),(140,1),(163,1),(169,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(154,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(156,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(153,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(154,1),(178,1)}
       167:{2,4,7}:{(151,1),(152,1),(155,1)}
       168:{1,3,5,6}:{(153,1),(156,1),(174,1),(177,1),(179,1),(185,1)}
       169:{1,3,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       170:{2,3,5,7}:{(156,1),(157,1),(176,1),(179,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(168,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(170,1),(183,1)}
       177:{2,5,6}:{(165,1),(168,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(167,1),(169,1),(184,1)}
       179:{1,3,5,7}:{(168,1),(169,1),(170,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2543 :   0:{2,3,4,6,7}:{(2,1),(3,1),(18,1),(20,1),(50,1),(62,1),(105,1),(120,1),(122,1),(159,1),(165,1),(214,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(35,1),(87,1),(88,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(31,1),(39,1),(82,1),(89,1),(91,1),(93,1),(137,1),(149,1),(150,1),(190,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(35,1),(87,1),(184,1),(189,1)}
         4:{2,3,4,6,7}:{(12,1),(13,1),(21,1),(47,1),(49,1),(66,1),(101,1),(119,1),(160,1),(162,1),(165,1),(231,1)}
         5:{1,3,5,6,7}:{(1,1),(16,1),(17,1),(19,1),(60,1),(61,1),(116,1),(117,1)}
         6:{2,4,6,7}:{(1,1),(15,1),(17,1),(18,1),(20,1)}
         7:{2,3,5,6}:{(3,1),(19,1),(20,1),(58,1),(113,1),(120,1)}
         8:{2,4,6,7}:{(2,1),(21,1),(22,1),(64,1),(66,1),(165,1),(176,1),(177,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(19,1),(22,1),(23,1),(67,1),(116,1),(164,1),(209,1)}
        10:{2,4,5,7}:{(3,1),(20,1),(23,1),(24,1),(105,1),(158,1)}
        11:{2,3,5,6,7}:{(25,1),(26,1),(27,1),(71,1),(127,1),(128,1)}
        12:{1,3,4,6,7}:{(4,1),(28,1),(29,1),(31,1),(75,1),(82,1),(129,1),(131,1),(133,1),(137,1),(186,1),(187,1),(190,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(29,1),(30,1),(71,1),(127,1),(147,1),(189,1)}
        14:{1,2,4,6,7}:{(8,1),(28,1),(31,1),(32,1),(81,1),(82,1),(89,1),(129,1),(146,1),(183,1),(190,1),(191,1),(192,1),(196,1),(220,1)}
        15:{2,4,5,7}:{(6,1),(33,1),(34,1),(35,1),(87,1),(196,1)}
        16:{2,5,6,7}:{(5,1),(36,1),(38,1),(87,1),(146,1)}
        17:{1,4,6,7}:{(5,1),(6,1),(34,1),(36,1),(39,1)}
        18:{3,4,6,7}:{(6,1),(35,1),(40,1)}
        19:{1,3,5,6}:{(7,1),(9,1),(38,1),(39,1),(91,1),(143,1),(149,1)}
        20:{2,4,6}:{(7,1),(10,1),(39,1),(40,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(41,1),(91,1),(138,1),(183,1),(199,1)}
        22:{2,5,7}:{(8,1),(9,1),(38,1),(189,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(39,1),(42,1),(82,1),(136,1)}
        24:{3,4,5,7}:{(10,1),(35,1),(40,1),(133,1),(184,1)}
        25:{1,3,5,6,7}:{(11,1),(45,1),(46,1),(48,1),(99,1),(100,1),(156,1),(157,1)}
        26:{2,4,6,7}:{(11,1),(44,1),(46,1),(47,1),(49,1)}
        27:{2,3,5,6}:{(13,1),(48,1),(49,1),(97,1),(153,1),(160,1)}
        28:{2,4,6,7}:{(12,1),(50,1),(51,1),(103,1),(105,1),(165,1),(207,1),(208,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(52,1),(106,1),(156,1),(164,1),(209,1)}
        30:{2,4,5,7}:{(13,1),(49,1),(52,1),(53,1),(66,1),(118,1)}
        31:{1,3,6,7}:{(14,1),(21,1),(50,1),(55,1),(109,1),(166,1),(211,1),(214,1),(231,1)}
        32:{1,2,5,7}:{(14,1),(22,1),(51,1),(54,1),(55,1),(116,1),(156,1),(173,1),(204,1),(209,1)}
        33:{2,4,5,6}:{(15,1),(20,1),(57,1),(58,1),(113,1),(158,1),(213,1)}
        34:{1,4,5,7}:{(15,1),(17,1),(57,1),(59,1),(60,1),(116,1),(172,1)}
        35:{3,5,7}:{(15,1),(18,1),(58,1),(214,1)}
        36:{2,4,6,7}:{(16,1),(17,1),(59,1),(61,1),(64,1)}
        37:{1,3,4,6,7}:{(17,1),(18,1),(60,1),(61,1),(62,1),(65,1),(114,1),(117,1),(172,1),(214,1)}
        38:{2,5,6}:{(19,1),(22,1),(64,1),(176,1)}
        39:{1,4,6}:{(19,1),(20,1),(23,1),(64,1)}
        40:{3,4,6}:{(20,1),(24,1),(58,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(55,1),(63,1),(66,1),(67,1),(204,1),(231,1)}
        42:{2,4,5,7}:{(22,1),(23,1),(64,1),(66,1),(67,1),(118,1)}
        43:{1,3,4,5,7}:{(23,1),(24,1),(60,1),(65,1),(67,1),(68,1),(110,1),(114,1),(123,1),(164,1),(169,1),(172,1),(212,1),(214,1),(235,1)}
        44:{2,4,5,7}:{(26,1),(69,1),(70,1),(71,1),(127,1),(220,1)}
        45:{2,5,6,7}:{(25,1),(72,1),(74,1),(127,1),(183,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(70,1),(72,1),(75,1)}
        47:{3,4,6,7}:{(26,1),(71,1),(76,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(74,1),(75,1),(131,1),(180,1),(186,1)}
        49:{2,4,6}:{(27,1),(30,1),(75,1),(76,1)}
        50:{2,3,6,7}:{(28,1),(31,1),(77,1),(131,1),(138,1),(146,1),(223,1)}
        51:{2,5,7}:{(28,1),(29,1),(74,1),(189,1)}
        52:{1,4,5,7}:{(29,1),(30,1),(75,1),(78,1),(82,1),(136,1)}
        53:{3,4,5,7}:{(30,1),(71,1),(76,1),(93,1),(147,1)}
        54:{1,2,5,6}:{(32,1),(38,1),(74,1),(80,1),(81,1),(143,1),(180,1),(189,1),(191,1),(195,1),(219,1),(224,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(41,1),(77,1),(80,1),(82,1)}
        56:{1,2,4,5,7}:{(32,1),(42,1),(78,1),(81,1),(82,1),(83,1),(95,1),(135,1),(136,1),(139,1),(151,1),(188,1),(189,1),(192,1),(196,1),(220,1),(224,1),(226,1),(237,1),(240,1)}
        57:{1,4,5,6}:{(33,1),(34,1),(39,1),(84,1),(85,1),(136,1),(143,1),(194,1)}
        58:{3,5,6}:{(33,1),(35,1),(40,1),(184,1),(227,1)}
        59:{2,4,5,7}:{(34,1),(36,1),(84,1),(86,1),(87,1),(144,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(37,1),(85,1),(86,1),(87,1)}
        61:{3,6,7}:{(36,1),(86,1),(91,1)}
        62:{2,4,6,7}:{(37,1),(87,1),(88,1),(89,1),(92,1),(144,1),(146,1),(196,1)}
        63:{2,3,5,6}:{(38,1),(41,1),(80,1),(90,1),(91,1),(138,1),(147,1),(189,1),(219,1),(238,1),(239,1)}
        64:{2,4,6}:{(38,1),(39,1),(42,1),(91,1)}
        65:{1,3,4,6}:{(39,1),(40,1),(43,1),(85,1),(91,1),(92,1),(141,1),(149,1),(194,1),(227,1)}
        66:{2,4,7}:{(41,1),(82,1),(90,1),(93,1)}
        67:{3,5,7}:{(42,1),(91,1),(93,1),(147,1)}
        68:{2,4,5,7}:{(43,1),(87,1),(92,1),(94,1),(95,1),(139,1),(144,1),(151,1),(189,1),(193,1),(196,1),(226,1)}
        69:{2,4,5,6}:{(44,1),(49,1),(96,1),(97,1),(118,1),(153,1),(230,1)}
        70:{1,4,5,7}:{(44,1),(46,1),(96,1),(98,1),(99,1),(156,1),(203,1)}
        71:{3,5,7}:{(44,1),(47,1),(97,1),(231,1)}
        72:{2,4,6,7}:{(45,1),(46,1),(98,1),(100,1),(103,1)}
        73:{1,3,4,6,7}:{(46,1),(47,1),(99,1),(100,1),(101,1),(104,1),(154,1),(157,1),(203,1),(231,1)}
        74:{2,5,6}:{(48,1),(51,1),(103,1),(207,1)}
        75:{1,4,6}:{(48,1),(49,1),(52,1),(103,1)}
        76:{3,4,6}:{(49,1),(53,1),(97,1)}
        77:{2,3,5,7}:{(50,1),(51,1),(55,1),(102,1),(105,1),(106,1),(173,1),(214,1)}
        78:{2,4,5,7}:{(51,1),(52,1),(103,1),(105,1),(106,1),(158,1)}
        79:{1,3,4,5,7}:{(52,1),(53,1),(99,1),(104,1),(106,1),(107,1),(110,1),(154,1),(163,1),(164,1),(200,1),(203,1),(229,1),(231,1),(242,1)}
        80:{1,3,5,6}:{(54,1),(55,1),(63,1),(102,1),(108,1),(109,1),(164,1),(166,1),(209,1),(234,1)}
        81:{1,2,4,6}:{(54,1),(56,1),(64,1),(103,1),(108,1),(109,1),(121,1),(161,1),(165,1),(176,1),(207,1),(213,1),(230,1)}
        82:{1,4,7}:{(55,1),(66,1),(105,1),(108,1)}
        83:{1,3,5,7}:{(56,1),(67,1),(106,1),(109,1),(110,1),(111,1),(164,1),(211,1),(214,1),(231,1),(234,1),(235,1),(242,1)}
        84:{2,4,5,6}:{(57,1),(59,1),(64,1),(112,1),(113,1),(118,1),(170,1)}
        85:{1,3,5,6}:{(57,1),(58,1),(60,1),(65,1),(112,1),(113,1),(164,1)}
        86:{3,5,7}:{(59,1),(61,1),(112,1),(114,1)}
        87:{2,5,7}:{(60,1),(62,1),(113,1),(116,1)}
        88:{2,3,6,7}:{(61,1),(62,1),(115,1),(117,1),(120,1),(214,1)}
        89:{1,4,6,7}:{(62,1),(116,1),(117,1),(121,1),(172,1)}
        90:{2,4,6}:{(63,1),(66,1),(108,1),(118,1),(119,1),(243,1)}
        91:{3,6}:{(64,1),(67,1)}
        92:{2,4,6}:{(65,1),(68,1),(113,1),(120,1),(121,1),(176,1)}
        93:{3,4,7}:{(66,1),(67,1),(119,1),(231,1)}
        94:{2,3,5,7}:{(67,1),(68,1),(120,1),(122,1),(123,1),(174,1),(214,1),(235,1)}
        95:{1,4,5,7}:{(68,1),(116,1),(121,1),(123,1),(167,1),(172,1),(209,1),(212,1)}
        96:{1,4,5,6}:{(69,1),(70,1),(75,1),(124,1),(125,1),(136,1),(180,1),(218,1)}
        97:{3,5,6}:{(69,1),(71,1),(76,1),(147,1),(238,1)}
        98:{2,4,5,7}:{(70,1),(72,1),(124,1),(126,1),(127,1),(181,1)}
        99:{1,3,5,7}:{(70,1),(71,1),(73,1),(125,1),(126,1),(127,1)}
       100:{3,6,7}:{(72,1),(126,1),(131,1)}
       101:{2,4,6,7}:{(73,1),(127,1),(128,1),(129,1),(132,1),(181,1),(183,1),(220,1)}
       102:{2,3,5,6}:{(74,1),(77,1),(80,1),(130,1),(131,1),(138,1),(184,1),(189,1),(195,1),(227,1),(228,1)}
       103:{2,4,6}:{(74,1),(75,1),(78,1),(131,1)}
       104:{1,3,4,6}:{(75,1),(76,1),(79,1),(125,1),(131,1),(132,1),(178,1),(186,1),(218,1),(238,1)}
       105:{2,4,7}:{(77,1),(82,1),(130,1),(133,1)}
       106:{3,5,7}:{(78,1),(131,1),(133,1),(184,1)}
       107:{2,4,5,7}:{(79,1),(127,1),(132,1),(134,1),(135,1),(139,1),(181,1),(188,1),(189,1),(217,1),(220,1),(237,1)}
       108:{1,4,6}:{(80,1),(82,1),(90,1),(130,1),(136,1),(240,1)}
       109:{1,3,6}:{(81,1),(83,1),(91,1),(131,1),(138,1),(227,1),(238,1)}
       110:{1,3,4,7}:{(82,1),(83,1),(93,1),(133,1),(137,1),(139,1),(240,1),(241,1),(244,1)}
       111:{2,3,5,7}:{(83,1),(138,1),(139,1),(140,1),(151,1),(188,1),(189,1),(199,1),(223,1),(228,1),(239,1)}
       112:{3,5,6}:{(84,1),(86,1),(91,1),(141,1),(147,1)}
       113:{2,5,6}:{(85,1),(87,1),(92,1),(143,1),(189,1)}
       114:{3,4,7}:{(86,1),(141,1),(144,1)}
       115:{2,3,5,7}:{(86,1),(87,1),(88,1),(142,1),(144,1),(145,1)}
       116:{1,5,7}:{(87,1),(89,1),(143,1)}
       117:{1,3,6,7}:{(88,1),(89,1),(145,1),(146,1),(149,1)}
       118:{2,4,5}:{(90,1),(136,1),(147,1),(189,1)}
       119:{3,4,6}:{(90,1),(91,1),(93,1),(147,1),(238,1),(244,1)}
       120:{2,3,6}:{(91,1),(92,1),(94,1),(149,1),(227,1)}
       121:{1,4,6}:{(92,1),(95,1),(143,1),(149,1)}
       122:{2,3,4,7}:{(93,1),(94,1),(139,1),(144,1),(148,1),(150,1),(223,1),(241,1)}
       123:{1,3,5,7}:{(94,1),(95,1),(149,1),(150,1),(151,1),(197,1)}
       124:{2,4,5,6}:{(96,1),(98,1),(103,1),(152,1),(153,1),(158,1),(201,1)}
       125:{1,3,5,6}:{(96,1),(97,1),(99,1),(104,1),(152,1),(153,1),(164,1)}
       126:{3,5,7}:{(98,1),(100,1),(152,1),(154,1)}
       127:{2,5,7}:{(99,1),(101,1),(153,1),(156,1)}
       128:{2,3,6,7}:{(100,1),(101,1),(155,1),(157,1),(160,1),(231,1)}
       129:{1,4,6,7}:{(101,1),(156,1),(157,1),(161,1),(203,1)}
       130:{2,4,6}:{(102,1),(105,1),(108,1),(158,1),(159,1),(236,1)}
       131:{3,6}:{(103,1),(106,1)}
       132:{2,4,6}:{(104,1),(107,1),(153,1),(160,1),(161,1),(207,1)}
       133:{3,4,7}:{(105,1),(106,1),(159,1),(214,1)}
       134:{2,3,5,7}:{(106,1),(107,1),(160,1),(162,1),(163,1),(205,1),(231,1),(242,1)}
       135:{1,4,5,7}:{(107,1),(156,1),(161,1),(163,1),(167,1),(203,1),(209,1),(229,1)}
       136:{1,4,5}:{(108,1),(118,1),(158,1),(164,1),(209,1)}
       137:{1,3,4,6}:{(108,1),(109,1),(110,1),(119,1),(159,1),(164,1),(165,1)}
       138:{2,3,6}:{(109,1),(111,1),(165,1),(166,1),(176,1),(207,1)}
       139:{2,4,7}:{(110,1),(111,1),(165,1),(167,1),(236,1),(243,1)}
       140:{1,3,5,7}:{(111,1),(166,1),(167,1),(168,1),(209,1),(211,1),(234,1)}
       141:{3,4,6}:{(112,1),(114,1),(169,1),(170,1)}
       142:{2,3,5,6}:{(112,1),(113,1),(115,1),(120,1),(170,1),(171,1),(174,1)}
       143:{1,5,6}:{(113,1),(116,1),(121,1),(209,1)}
       144:{2,4,7}:{(114,1),(115,1),(170,1),(172,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(171,1),(172,1),(173,1),(214,1)}
       146:{2,6,7}:{(117,1),(173,1),(176,1)}
       147:{3,5}:{(118,1),(119,1)}
       148:{2,3,4,6}:{(119,1),(120,1),(122,1),(165,1),(170,1),(174,1),(175,1),(233,1),(243,1)}
       149:{1,3,6}:{(120,1),(121,1),(123,1),(176,1)}
       150:{1,3,4,7}:{(122,1),(123,1),(167,1),(172,1),(175,1),(177,1),(211,1),(214,1)}
       151:{2,5,7}:{(123,1),(176,1),(177,1),(215,1)}
       152:{3,5,6}:{(124,1),(126,1),(131,1),(178,1),(184,1)}
       153:{2,5,6}:{(125,1),(127,1),(132,1),(180,1),(189,1)}
       154:{3,4,7}:{(126,1),(178,1),(181,1)}
       155:{2,3,5,7}:{(126,1),(127,1),(128,1),(179,1),(181,1),(182,1)}
       156:{1,5,7}:{(127,1),(129,1),(180,1)}
       157:{1,3,6,7}:{(128,1),(129,1),(182,1),(183,1),(186,1)}
       158:{2,4,5}:{(130,1),(136,1),(184,1),(189,1)}
       159:{3,4,6}:{(130,1),(131,1),(133,1),(184,1),(227,1),(241,1)}
       160:{2,3,6}:{(131,1),(132,1),(134,1),(186,1),(238,1)}
       161:{1,4,6}:{(132,1),(135,1),(180,1),(186,1)}
       162:{2,3,4,7}:{(133,1),(134,1),(139,1),(181,1),(185,1),(187,1),(199,1),(244,1)}
       163:{1,3,5,7}:{(134,1),(135,1),(186,1),(187,1),(188,1),(221,1)}
       164:{1,3,5}:{(136,1),(137,1),(147,1),(184,1),(189,1)}
       165:{2,4,6}:{(137,1),(138,1),(139,1),(189,1),(190,1)}
       166:{1,3,6}:{(138,1),(140,1),(190,1),(191,1)}
       167:{1,4,7}:{(139,1),(140,1),(190,1),(240,1)}
       168:{1,2,5,7}:{(140,1),(151,1),(188,1),(191,1),(192,1),(224,1)}
       169:{3,4,5}:{(141,1),(147,1),(193,1),(244,1)}
       170:{2,4,6}:{(141,1),(142,1),(144,1),(193,1),(194,1)}
       171:{1,3,5,6}:{(142,1),(143,1),(145,1),(149,1),(194,1),(195,1),(197,1),(227,1)}
       172:{1,4,7}:{(144,1),(145,1),(194,1),(196,1)}
       173:{2,5,7}:{(145,1),(146,1),(195,1),(196,1)}
       174:{2,3,5}:{(147,1),(148,1),(189,1),(193,1),(197,1)}
       175:{1,3,4,6}:{(148,1),(149,1),(150,1),(190,1),(194,1),(197,1),(198,1),(225,1),(227,1),(240,1),(241,1)}
       176:{2,6}:{(149,1),(151,1)}
       177:{2,4,7}:{(150,1),(151,1),(198,1),(199,1)}
       178:{3,4,6}:{(152,1),(154,1),(200,1),(201,1)}
       179:{2,3,5,6}:{(152,1),(153,1),(155,1),(160,1),(201,1),(202,1),(205,1)}
       180:{1,5,6}:{(153,1),(156,1),(161,1),(209,1)}
       181:{2,4,7}:{(154,1),(155,1),(201,1),(203,1)}
       182:{1,3,5,7}:{(155,1),(156,1),(157,1),(202,1),(203,1),(204,1),(231,1)}
       183:{2,6,7}:{(157,1),(204,1),(207,1)}
       184:{3,5}:{(158,1),(159,1)}
       185:{2,3,4,6}:{(159,1),(160,1),(162,1),(165,1),(201,1),(205,1),(206,1),(216,1),(236,1)}
       186:{1,3,6}:{(160,1),(161,1),(163,1),(207,1)}
       187:{1,3,4,7}:{(162,1),(163,1),(167,1),(203,1),(206,1),(208,1),(211,1),(231,1)}
       188:{2,5,7}:{(163,1),(207,1),(208,1),(232,1)}
       189:{2,5}:{(164,1),(165,1),(209,1)}
       190:{1,4,6}:{(165,1),(166,1),(167,1),(209,1)}
       191:{1,2,6}:{(166,1),(168,1),(176,1),(207,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(177,1),(208,1),(210,1),(211,1)}
       193:{2,4,5}:{(169,1),(170,1),(174,1),(212,1),(243,1)}
       194:{1,4,6}:{(170,1),(171,1),(172,1),(212,1),(213,1)}
       195:{2,5,6}:{(171,1),(173,1),(176,1),(213,1),(215,1)}
       196:{2,4,7}:{(172,1),(173,1),(213,1),(214,1)}
       197:{1,3,5}:{(174,1),(175,1),(209,1),(212,1),(215,1),(235,1)}
       198:{2,4,6}:{(175,1),(176,1),(177,1),(215,1),(216,1),(236,1)}
       199:{2,3,7}:{(177,1),(211,1),(214,1),(216,1)}
       200:{3,4,5}:{(178,1),(184,1),(217,1),(241,1)}
       201:{2,4,6}:{(178,1),(179,1),(181,1),(217,1),(218,1)}
       202:{1,3,5,6}:{(179,1),(180,1),(182,1),(186,1),(218,1),(219,1),(221,1),(238,1)}
       203:{1,4,7}:{(181,1),(182,1),(218,1),(220,1)}
       204:{2,5,7}:{(182,1),(183,1),(219,1),(220,1)}
       205:{2,3,5}:{(184,1),(185,1),(189,1),(217,1),(221,1)}
       206:{1,3,4,6}:{(185,1),(186,1),(187,1),(190,1),(218,1),(221,1),(222,1),(225,1),(238,1),(240,1),(244,1)}
       207:{2,6}:{(186,1),(188,1)}
       208:{2,4,7}:{(187,1),(188,1),(222,1),(223,1)}
       209:{1,5}:{(189,1),(190,1)}
       210:{1,2,4,6}:{(190,1),(191,1),(192,1),(198,1),(222,1),(224,1),(225,1),(240,1)}
       211:{1,3,7}:{(192,1),(199,1),(223,1),(225,1)}
       212:{1,4,5}:{(193,1),(194,1),(197,1),(226,1),(240,1)}
       213:{2,4,6}:{(194,1),(195,1),(196,1),(226,1),(227,1)}
       214:{3,7}:{(196,1),(227,1)}
       215:{2,5}:{(197,1),(198,1)}
       216:{2,3,6}:{(198,1),(199,1),(225,1),(227,1),(228,1)}
       217:{2,4,5}:{(200,1),(201,1),(205,1),(229,1),(236,1)}
       218:{1,4,6}:{(201,1),(202,1),(203,1),(229,1),(230,1)}
       219:{2,5,6}:{(202,1),(204,1),(207,1),(230,1),(232,1)}
       220:{2,4,7}:{(203,1),(204,1),(230,1),(231,1)}
       221:{1,3,5}:{(205,1),(206,1),(209,1),(229,1),(232,1),(242,1)}
       222:{2,4,6}:{(206,1),(207,1),(208,1),(232,1),(233,1),(243,1)}
       223:{2,3,7}:{(208,1),(211,1),(231,1),(233,1)}
       224:{1,2,5}:{(209,1),(210,1),(215,1),(232,1),(234,1)}
       225:{1,3,6}:{(210,1),(211,1),(216,1),(233,1),(234,1)}
       226:{2,4,5}:{(212,1),(213,1),(215,1),(235,1),(236,1)}
       227:{3,6}:{(213,1),(214,1),(235,1)}
       228:{2,3,5}:{(215,1),(216,1),(234,1),(235,1),(236,1)}
       229:{1,4,5}:{(217,1),(218,1),(221,1),(237,1),(240,1)}
       230:{2,4,6}:{(218,1),(219,1),(220,1),(237,1),(238,1)}
       231:{3,7}:{(220,1),(238,1)}
       232:{2,5}:{(221,1),(222,1)}
       233:{2,3,6}:{(222,1),(223,1),(225,1),(238,1),(239,1)}
       234:{1,3,5}:{(224,1),(225,1),(228,1),(239,1),(240,1)}
       235:{3,5}:{(226,1),(227,1),(241,1)}
       236:{2,4}:{(228,1),(240,1),(241,1)}
       237:{2,4,5}:{(229,1),(230,1),(232,1),(242,1),(243,1)}
       238:{3,6}:{(230,1),(231,1),(242,1)}
       239:{2,3,5}:{(232,1),(233,1),(234,1),(242,1),(243,1)}
       240:{1,4}:{(234,1),(236,1),(243,1)}
       241:{3,4}:{(235,1),(236,1)}
       242:{3,5}:{(237,1),(238,1),(244,1)}
       243:{2,4}:{(239,1),(240,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2544 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(48,1),(114,1),(142,1),(192,1),(195,1),(205,1),(226,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(33,1),(36,1),(252,1),(253,1),(259,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(33,1),(44,1),(91,1),(104,1),(167,1),(182,1),(184,1),(249,1),(270,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(77,1),(154,1),(235,1),(248,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(19,1),(53,1),(69,1),(137,1),(140,1),(197,1),(205,1),(283,1)}
         5:{1,2,4,7}:{(1,1),(15,1),(17,1),(300,1)}
         6:{1,2,3,6}:{(1,1),(17,1),(58,1),(294,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(140,1),(313,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(21,1),(69,1),(70,1),(140,1),(228,1),(311,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(23,1),(58,1),(127,1),(141,1),(291,1)}
        10:{2,3,4,6,7}:{(3,1),(22,1),(24,1),(66,1),(112,1),(195,1),(224,1),(226,1),(278,1),(290,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(277,1),(289,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(33,1),(81,1),(91,1),(155,1),(167,1),(239,1),(241,1),(249,1),(324,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(40,1),(103,1),(178,1),(248,1)}
        14:{1,2,3,6,7}:{(6,1),(31,1),(32,1),(89,1),(164,1),(250,1),(253,1),(333,1),(334,1),(388,1)}
        15:{1,3,4,7}:{(5,1),(7,1),(26,1),(33,1),(34,1),(167,1),(338,1)}
        16:{1,2,4,5,7}:{(5,1),(8,1),(27,1),(33,1),(35,1),(36,1),(91,1),(92,1),(167,1),(249,1),(252,1),(256,1),(336,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(34,1),(36,1)}
        18:{1,2,3,5,6}:{(6,1),(32,1),(36,1),(37,1),(86,1),(90,1),(94,1),(164,1),(171,1),(258,1),(259,1),(334,1),(337,1),(387,1),(390,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(40,1),(41,1),(272,1),(348,1)}
        20:{2,3,4,6}:{(7,1),(34,1),(40,1),(41,1),(103,1)}
        21:{2,4,6}:{(8,1),(9,1),(40,1),(43,1)}
        22:{1,3,4,6,7}:{(9,1),(10,1),(42,1),(44,1),(89,1),(100,1),(167,1),(180,1),(182,1),(269,1),(270,1),(330,1)}
        23:{1,3,5,6}:{(9,1),(11,1),(43,1),(44,1),(45,1),(106,1),(329,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(44,1),(46,1),(318,1),(328,1)}
        25:{2,4,5,6}:{(11,1),(45,1),(46,1),(47,1),(154,1)}
        26:{2,3,4,7}:{(15,1),(48,1),(49,1),(195,1),(361,1)}
        27:{2,4,5,7}:{(12,1),(48,1),(50,1),(114,1),(115,1),(195,1),(285,1),(359,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(52,1),(58,1),(127,1),(196,1),(291,1)}
        29:{2,3,4,6,7}:{(13,1),(51,1),(53,1),(67,1),(111,1),(140,1),(221,1),(281,1),(283,1),(290,1)}
        30:{2,3,5,6}:{(13,1),(52,1),(53,1),(54,1),(220,1),(289,1)}
        31:{1,2,4,6,7}:{(14,1),(17,1),(55,1),(56,1),(57,1),(123,1),(209,1),(290,1),(294,1),(367,1)}
        32:{1,2,3,5,7}:{(14,1),(18,1),(56,1),(57,1),(124,1),(126,1),(213,1),(299,1),(368,1),(404,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(19,1),(48,1),(58,1),(59,1),(298,1),(368,1)}
        34:{1,3,4,6}:{(15,1),(17,1),(20,1),(49,1),(58,1),(59,1),(127,1)}
        35:{1,2,4,6}:{(16,1),(21,1),(50,1),(58,1),(61,1),(127,1),(291,1),(294,1)}
        36:{1,2,5}:{(17,1),(59,1)}
        37:{1,2,4,6}:{(18,1),(57,1),(62,1),(63,1),(127,1),(211,1),(300,1),(405,1)}
        38:{2,3,4,6,7}:{(20,1),(55,1),(64,1),(67,1),(125,1),(136,1),(140,1),(207,1),(221,1),(290,1),(402,1),(403,1),(423,1)}
        39:{2,3,5,6,7}:{(24,1),(65,1),(66,1),(134,1),(218,1),(224,1)}
        40:{2,3,6}:{(19,1),(21,1),(58,1)}
        41:{2,3,5}:{(20,1),(59,1),(69,1)}
        42:{2,4,6,7}:{(21,1),(22,1),(67,1),(70,1),(140,1),(310,1),(311,1)}
        43:{2,5,6}:{(21,1),(23,1),(70,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(24,1),(70,1),(72,1),(143,1),(362,1)}
        45:{1,4,5,6}:{(23,1),(25,1),(71,1),(72,1),(127,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(66,1),(72,1),(74,1),(195,1)}
        47:{3,4,5,6}:{(25,1),(74,1),(196,1),(277,1)}
        48:{2,3,5,7}:{(26,1),(27,1),(33,1),(77,1),(78,1),(326,1),(385,1)}
        49:{2,3,4,6}:{(26,1),(34,1),(77,1),(78,1),(154,1)}
        50:{2,4,6}:{(27,1),(28,1),(77,1),(80,1)}
        51:{1,3,4,6,7}:{(28,1),(29,1),(79,1),(81,1),(89,1),(151,1),(167,1),(237,1),(239,1),(323,1),(324,1),(330,1)}
        52:{1,3,5,6}:{(28,1),(30,1),(80,1),(81,1),(82,1),(157,1),(329,1)}
        53:{2,3,5,7}:{(29,1),(30,1),(81,1),(83,1),(264,1),(328,1)}
        54:{2,4,5,6}:{(30,1),(82,1),(83,1),(84,1),(103,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(38,1),(75,1),(85,1),(88,1),(89,1),(161,1),(164,1),(166,1),(167,1),(251,1),(330,1),(388,1),(389,1),(417,1)}
        56:{1,2,5,7}:{(31,1),(36,1),(85,1),(86,1),(328,1),(390,1)}
        57:{1,2,4,7}:{(32,1),(37,1),(88,1),(167,1),(254,1),(417,1)}
        58:{1,3,6}:{(33,1),(35,1),(40,1),(77,1)}
        59:{1,3,5}:{(34,1),(36,1),(41,1),(78,1),(91,1)}
        60:{1,2,4,6,7}:{(35,1),(42,1),(79,1),(89,1),(92,1),(167,1),(330,1),(333,1),(336,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(43,1),(80,1),(90,1),(92,1),(329,1)}
        62:{1,2,4,5}:{(36,1),(37,1),(91,1),(94,1),(169,1),(390,1),(418,1)}
        63:{1,3,4,6}:{(37,1),(88,1),(94,1),(95,1),(164,1),(337,1),(338,1)}
        64:{2,3,5,7}:{(38,1),(41,1),(85,1),(97,1),(98,1),(264,1),(328,1),(416,1)}
        65:{1,3,5,6,7}:{(39,1),(44,1),(99,1),(100,1),(180,1),(263,1),(269,1)}
        66:{2,4,6,7}:{(39,1),(46,1),(100,1),(101,1)}
        67:{2,3,6,7}:{(40,1),(42,1),(89,1),(102,1),(180,1),(348,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(43,1),(90,1),(102,1),(103,1),(106,1)}
        69:{2,4,5}:{(41,1),(91,1),(103,1),(104,1)}
        70:{2,5,7}:{(42,1),(43,1),(44,1)}
        71:{2,4,5,6}:{(43,1),(45,1),(103,1),(105,1),(106,1)}
        72:{1,4,5,7}:{(44,1),(45,1),(46,1),(100,1),(105,1),(167,1)}
        73:{1,3,4,5,6}:{(45,1),(47,1),(106,1),(107,1),(108,1),(168,1),(186,1),(246,1),(260,1),(340,1),(392,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(101,1),(239,1),(318,1)}
        75:{2,3,4,6,7}:{(49,1),(55,1),(109,1),(112,1),(125,1),(191,1),(195,1),(207,1),(278,1),(290,1),(374,1),(375,1),(409,1)}
        76:{2,3,5,6,7}:{(53,1),(110,1),(111,1),(189,1),(275,1),(281,1)}
        77:{2,3,6}:{(48,1),(50,1),(58,1)}
        78:{2,3,5}:{(49,1),(59,1),(114,1)}
        79:{2,4,6,7}:{(50,1),(51,1),(112,1),(115,1),(195,1),(358,1),(359,1)}
        80:{2,5,6}:{(50,1),(52,1),(115,1)}
        81:{1,3,5,7}:{(51,1),(52,1),(53,1),(115,1),(117,1),(198,1),(362,1)}
        82:{1,4,5,6}:{(52,1),(54,1),(116,1),(117,1),(127,1)}
        83:{2,4,5,7}:{(53,1),(54,1),(111,1),(117,1),(119,1),(140,1)}
        84:{3,4,5,6}:{(54,1),(119,1),(141,1),(220,1)}
        85:{1,3,5,7}:{(55,1),(56,1),(59,1),(64,1),(109,1),(120,1),(121,1),(362,1),(406,1)}
        86:{1,2,5,6}:{(56,1),(120,1),(123,1),(289,1),(294,1)}
        87:{1,2,4,5,7}:{(56,1),(57,1),(62,1),(121,1),(123,1),(124,1),(205,1)}
        88:{1,3,4,7}:{(57,1),(63,1),(124,1),(125,1),(368,1)}
        89:{1,3,6,7}:{(58,1),(60,1),(67,1),(112,1),(126,1),(368,1)}
        90:{1,3,5,6}:{(58,1),(59,1),(61,1),(68,1),(113,1),(126,1),(127,1)}
        91:{1,4,5}:{(59,1),(69,1),(114,1),(127,1)}
        92:{1,2,5,7}:{(60,1),(61,1),(70,1),(115,1),(126,1),(362,1)}
        93:{1,2,4,5,6}:{(61,1),(62,1),(71,1),(116,1),(123,1),(127,1),(129,1),(130,1),(146,1),(201,1),(202,1),(211,1),(230,1),(287,1),(289,1),(297,1),(363,1),(370,1),(398,1),(405,1)}
        94:{1,3,5}:{(62,1),(63,1),(131,1)}
        95:{2,3,4,6}:{(63,1),(125,1),(131,1),(132,1),(207,1),(211,1),(312,1),(313,1),(360,1),(361,1)}
        96:{2,4,5,6,7}:{(66,1),(133,1),(134,1),(218,1),(276,1),(371,1)}
        97:{2,3,5,6}:{(64,1),(120,1),(136,1),(207,1),(220,1),(289,1)}
        98:{2,4,5,7}:{(64,1),(69,1),(121,1),(136,1),(137,1),(140,1),(423,1),(424,1)}
        99:{2,5,6,7}:{(65,1),(70,1),(138,1),(310,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(72,1),(138,1)}
       101:{3,4,6,7}:{(66,1),(74,1),(134,1)}
       102:{2,3,5,7}:{(67,1),(68,1),(70,1),(126,1),(140,1),(143,1)}
       103:{2,4,6}:{(68,1),(69,1),(127,1),(140,1),(141,1)}
       104:{3,4,5}:{(69,1),(141,1)}
       105:{2,4,5,7}:{(70,1),(71,1),(72,1),(138,1),(140,1),(143,1)}
       106:{3,5,6}:{(71,1),(141,1),(143,1)}
       107:{1,3,4,5,7}:{(72,1),(73,1),(74,1),(139,1),(143,1),(145,1),(210,1),(229,1),(288,1),(301,1),(369,1),(407,1)}
       108:{2,4,5,6}:{(73,1),(144,1),(145,1),(146,1),(211,1),(230,1),(289,1)}
       109:{2,3,5,7}:{(75,1),(78,1),(85,1),(148,1),(149,1),(318,1),(328,1),(396,1)}
       110:{1,3,5,6,7}:{(76,1),(81,1),(150,1),(151,1),(237,1),(317,1),(323,1)}
       111:{2,4,6,7}:{(76,1),(83,1),(151,1),(152,1)}
       112:{2,3,6,7}:{(77,1),(79,1),(89,1),(153,1),(237,1),(385,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(80,1),(90,1),(153,1),(154,1),(157,1)}
       114:{2,4,5}:{(78,1),(91,1),(154,1),(155,1)}
       115:{2,5,7}:{(79,1),(80,1),(81,1)}
       116:{2,4,5,6}:{(80,1),(82,1),(154,1),(156,1),(157,1)}
       117:{1,4,5,7}:{(81,1),(82,1),(83,1),(151,1),(156,1),(167,1)}
       118:{1,3,4,5,6}:{(82,1),(84,1),(157,1),(158,1),(159,1),(168,1),(243,1),(246,1),(314,1),(377,1),(412,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(152,1),(182,1),(264,1)}
       120:{1,3,5,6}:{(85,1),(86,1),(97,1),(148,1),(161,1),(164,1),(251,1),(329,1)}
       121:{1,4,5,7}:{(85,1),(91,1),(98,1),(149,1),(161,1),(167,1),(417,1),(418,1)}
       122:{1,2,5,6,7}:{(86,1),(92,1),(99,1),(150,1),(160,1),(163,1),(263,1),(317,1),(328,1),(333,1),(342,1),(379,1),(386,1)}
       123:{1,2,4,6}:{(86,1),(87,1),(161,1),(164,1),(248,1)}
       124:{1,3,5,7}:{(87,1),(88,1),(94,1),(164,1),(165,1)}
       125:{2,3,4,7}:{(88,1),(95,1),(165,1),(166,1),(254,1),(348,1),(385,1)}
       126:{1,3,5,7}:{(89,1),(90,1),(92,1),(102,1),(153,1),(167,1)}
       127:{1,4,6}:{(90,1),(91,1),(103,1),(154,1),(167,1)}
       128:{1,3,4,5}:{(91,1),(94,1),(104,1),(155,1),(168,1),(169,1),(418,1),(420,1),(426,1)}
       129:{1,2,4,5,7}:{(92,1),(93,1),(105,1),(156,1),(163,1),(167,1),(170,1),(187,1),(244,1),(245,1),(254,1),(273,1),(327,1),(328,1),(336,1),(386,1),(391,1),(411,1),(417,1)}
       130:{1,3,5,6}:{(93,1),(94,1),(106,1),(157,1),(164,1),(168,1),(170,1),(171,1),(337,1),(392,1),(412,1)}
       131:{2,3,5}:{(94,1),(95,1),(169,1),(172,1)}
       132:{1,3,4,6}:{(95,1),(166,1),(172,1),(173,1),(251,1),(255,1),(337,1),(338,1)}
       133:{1,4,5,6,7}:{(96,1),(100,1),(174,1),(175,1),(245,1),(263,1),(341,1)}
       134:{3,5,6,7}:{(96,1),(101,1),(318,1),(393,1)}
       135:{2,3,5,6,7}:{(97,1),(99,1),(102,1),(160,1),(177,1),(180,1),(250,1),(264,1),(328,1),(379,1),(413,1),(414,1)}
       136:{2,4,6}:{(97,1),(98,1),(161,1),(178,1)}
       137:{3,4,5,7}:{(98,1),(104,1),(178,1),(182,1),(264,1),(425,1),(426,1)}
       138:{2,4,6,7}:{(99,1),(100,1),(105,1),(180,1)}
       139:{1,3,4,6,7}:{(100,1),(101,1),(107,1),(175,1),(180,1),(181,1),(261,1),(269,1),(341,1),(393,1)}
       140:{2,4,7}:{(102,1),(103,1),(167,1),(182,1)}
       141:{3,4,6}:{(103,1),(104,1),(106,1),(182,1)}
       142:{2,3,4,5}:{(104,1),(169,1),(183,1),(184,1),(326,1),(420,1)}
       143:{3,5,7}:{(105,1),(106,1),(180,1),(182,1)}
       144:{2,3,5,6}:{(106,1),(108,1),(183,1),(185,1),(186,1),(392,1)}
       145:{2,4,5,7}:{(107,1),(108,1),(181,1),(185,1),(187,1),(254,1),(273,1),(328,1)}
       146:{1,4,5,6}:{(108,1),(186,1),(187,1),(255,1),(329,1)}
       147:{2,4,5,6,7}:{(111,1),(188,1),(189,1),(219,1),(275,1),(399,1)}
       148:{2,3,5,6}:{(109,1),(120,1),(191,1),(207,1),(277,1),(289,1)}
       149:{2,4,5,7}:{(109,1),(114,1),(121,1),(191,1),(192,1),(195,1),(409,1),(410,1)}
       150:{2,5,6,7}:{(110,1),(115,1),(193,1),(358,1)}
       151:{1,4,6,7}:{(110,1),(111,1),(117,1),(193,1)}
       152:{3,4,6,7}:{(111,1),(119,1),(189,1)}
       153:{2,3,5,7}:{(112,1),(113,1),(115,1),(126,1),(195,1),(198,1)}
       154:{2,4,6}:{(113,1),(114,1),(127,1),(195,1),(196,1)}
       155:{3,4,5}:{(114,1),(196,1)}
       156:{2,4,5,7}:{(115,1),(116,1),(117,1),(193,1),(195,1),(198,1)}
       157:{3,5,6}:{(116,1),(196,1),(198,1)}
       158:{1,3,4,5,7}:{(117,1),(118,1),(119,1),(194,1),(198,1),(200,1),(210,1),(286,1),(288,1),(349,1),(397,1),(421,1)}
       159:{2,4,5,6}:{(118,1),(199,1),(200,1),(201,1),(211,1),(287,1),(289,1)}
       160:{1,3,5,6,7}:{(120,1),(122,1),(126,1),(135,1),(190,1),(203,1),(206,1),(288,1),(293,1),(362,1),(404,1)}
       161:{1,4,6}:{(120,1),(121,1),(136,1),(191,1)}
       162:{1,3,4,5,7}:{(121,1),(124,1),(128,1),(137,1),(192,1),(204,1),(205,1),(210,1),(288,1)}
       163:{1,2,4,6,7}:{(122,1),(123,1),(129,1),(138,1),(193,1),(203,1),(206,1),(225,1),(282,1),(290,1),(310,1),(358,1),(371,1),(399,1)}
       164:{1,3,6}:{(123,1),(124,1),(207,1)}
       165:{2,3,5,7}:{(124,1),(125,1),(131,1),(205,1),(207,1),(208,1)}
       166:{1,3,4,7}:{(125,1),(132,1),(208,1),(209,1),(296,1),(368,1)}
       167:{1,4,7}:{(126,1),(127,1),(140,1),(195,1)}
       168:{1,3,4,6}:{(127,1),(128,1),(130,1),(141,1),(196,1),(210,1),(211,1),(405,1),(408,1),(422,1)}
       169:{2,4,5}:{(128,1),(131,1),(211,1),(212,1)}
       170:{1,3,5,7}:{(129,1),(130,1),(143,1),(198,1),(206,1),(210,1),(213,1),(368,1),(407,1),(421,1)}
       171:{2,3,5,6}:{(130,1),(131,1),(207,1),(211,1),(213,1),(214,1),(230,1),(287,1),(289,1),(312,1),(360,1)}
       172:{1,3,5}:{(131,1),(132,1),(212,1),(215,1)}
       173:{1,2,4,6}:{(132,1),(209,1),(215,1),(216,1),(294,1),(300,1)}
       174:{2,4,5,6,7}:{(133,1),(138,1),(217,1),(218,1),(219,1),(303,1)}
       175:{1,3,5,6,7}:{(133,1),(134,1),(139,1),(217,1),(218,1),(288,1)}
       176:{2,4,5,6}:{(136,1),(202,1),(219,1),(220,1),(289,1)}
       177:{2,4,6,7}:{(135,1),(136,1),(140,1),(203,1),(219,1),(221,1),(423,1)}
       178:{3,4,6}:{(136,1),(137,1),(220,1)}
       179:{2,3,4,5,7}:{(137,1),(142,1),(205,1),(222,1),(223,1),(226,1),(305,1),(357,1),(423,1),(424,1)}
       180:{3,6,7}:{(138,1),(143,1)}
       181:{2,4,6,7}:{(139,1),(145,1),(218,1),(224,1),(225,1),(310,1)}
       182:{3,4,7}:{(140,1),(141,1),(143,1)}
       183:{2,3,4,6}:{(141,1),(142,1),(144,1),(211,1),(226,1),(227,1),(360,1),(408,1)}
       184:{1,3,4,5}:{(142,1),(212,1),(227,1),(228,1),(298,1)}
       185:{2,3,5,7}:{(143,1),(144,1),(145,1),(224,1),(226,1),(229,1),(407,1)}
       186:{1,3,5,6}:{(144,1),(146,1),(227,1),(229,1),(230,1)}
       187:{1,4,5,7}:{(145,1),(146,1),(225,1),(229,1),(296,1),(362,1)}
       188:{1,4,5,6,7}:{(147,1),(151,1),(231,1),(232,1),(245,1),(317,1),(378,1)}
       189:{3,5,6,7}:{(147,1),(152,1),(264,1),(413,1)}
       190:{2,3,5,6,7}:{(148,1),(150,1),(153,1),(160,1),(234,1),(237,1),(250,1),(318,1),(328,1),(342,1),(393,1),(394,1)}
       191:{2,4,6}:{(148,1),(149,1),(161,1),(235,1)}
       192:{3,4,5,7}:{(149,1),(155,1),(235,1),(239,1),(318,1),(419,1),(420,1)}
       193:{2,4,6,7}:{(150,1),(151,1),(156,1),(237,1)}
       194:{1,3,4,6,7}:{(151,1),(152,1),(158,1),(232,1),(237,1),(238,1),(315,1),(323,1),(378,1),(413,1)}
       195:{2,4,7}:{(153,1),(154,1),(167,1),(239,1)}
       196:{3,4,6}:{(154,1),(155,1),(157,1),(239,1)}
       197:{2,3,4,5}:{(155,1),(169,1),(240,1),(241,1),(272,1),(426,1)}
       198:{3,5,7}:{(156,1),(157,1),(237,1),(239,1)}
       199:{2,3,5,6}:{(157,1),(159,1),(240,1),(242,1),(243,1),(412,1)}
       200:{2,4,5,7}:{(158,1),(159,1),(238,1),(242,1),(244,1),(254,1),(327,1),(328,1)}
       201:{1,4,5,6}:{(159,1),(243,1),(244,1),(255,1),(329,1)}
       202:{1,4,5,6}:{(161,1),(176,1),(233,1),(245,1),(246,1),(329,1)}
       203:{1,4,6,7}:{(160,1),(161,1),(167,1),(177,1),(234,1),(245,1),(417,1)}
       204:{1,3,4,6}:{(161,1),(162,1),(164,1),(178,1),(235,1),(246,1),(248,1)}
       205:{2,4,5,7}:{(162,1),(165,1),(169,1),(248,1),(249,1),(254,1),(328,1)}
       206:{1,3,6,7}:{(163,1),(164,1),(170,1),(180,1),(237,1),(250,1),(393,1),(413,1)}
       207:{2,3,6}:{(164,1),(165,1),(248,1),(251,1)}
       208:{1,3,5,7}:{(165,1),(166,1),(172,1),(249,1),(251,1),(252,1)}
       209:{1,2,4,7}:{(166,1),(173,1),(252,1),(253,1)}
       210:{1,3,4,7}:{(167,1),(168,1),(170,1),(182,1),(239,1),(254,1),(417,1),(419,1),(425,1)}
       211:{2,4,6}:{(168,1),(169,1),(171,1),(254,1),(255,1)}
       212:{1,4,5}:{(169,1),(172,1),(255,1)}
       213:{2,3,5,7}:{(170,1),(171,1),(250,1),(254,1),(257,1),(273,1),(327,1),(328,1),(348,1),(385,1)}
       214:{1,3,5,6}:{(171,1),(172,1),(251,1),(255,1),(257,1),(258,1),(329,1),(337,1)}
       215:{1,2,5}:{(172,1),(173,1)}
       216:{1,2,3,6}:{(173,1),(253,1),(259,1),(337,1)}
       217:{3,5,6,7}:{(174,1),(180,1),(261,1),(264,1)}
       218:{2,5,6,7}:{(175,1),(181,1),(263,1),(328,1)}
       219:{2,4,5,7}:{(176,1),(177,1),(245,1),(264,1),(328,1)}
       220:{3,5,6}:{(176,1),(178,1),(264,1)}
       221:{3,4,6,7}:{(177,1),(178,1),(180,1),(182,1),(264,1),(413,1),(425,1)}
       222:{2,3,4,6}:{(178,1),(179,1),(248,1),(265,1),(267,1),(383,1),(415,1)}
       223:{1,3,4,5,7}:{(179,1),(184,1),(249,1),(267,1),(268,1),(270,1),(332,1),(343,1),(417,1),(418,1),(419,1),(420,1)}
       224:{2,3,6,7}:{(180,1),(181,1),(185,1),(269,1),(393,1)}
       225:{1,4,6,7}:{(181,1),(187,1),(263,1),(269,1)}
       226:{2,3,4,7}:{(182,1),(183,1),(185,1),(254,1),(270,1),(385,1),(419,1)}
       227:{1,3,4,6}:{(183,1),(184,1),(186,1),(255,1),(270,1),(271,1),(337,1)}
       228:{2,4,5}:{(184,1),(271,1),(272,1)}
       229:{1,3,5,7}:{(185,1),(186,1),(187,1),(269,1),(270,1),(273,1)}
       230:{2,5,6}:{(186,1),(271,1),(273,1)}
       231:{2,4,5,6,7}:{(188,1),(193,1),(274,1),(275,1),(276,1),(351,1)}
       232:{1,3,5,6,7}:{(188,1),(189,1),(194,1),(274,1),(275,1),(288,1)}
       233:{2,4,5,6}:{(191,1),(202,1),(276,1),(277,1),(289,1)}
       234:{2,4,6,7}:{(190,1),(191,1),(195,1),(203,1),(276,1),(278,1),(409,1)}
       235:{3,4,6}:{(191,1),(192,1),(277,1)}
       236:{2,3,4,5,7}:{(192,1),(197,1),(205,1),(279,1),(280,1),(283,1),(309,1),(353,1),(409,1),(410,1)}
       237:{3,6,7}:{(193,1),(198,1)}
       238:{2,4,6,7}:{(194,1),(200,1),(275,1),(281,1),(282,1),(358,1)}
       239:{3,4,7}:{(195,1),(196,1),(198,1)}
       240:{2,3,4,6}:{(196,1),(197,1),(199,1),(211,1),(283,1),(284,1),(312,1),(422,1)}
       241:{1,3,4,5}:{(197,1),(212,1),(284,1),(285,1),(298,1)}
       242:{2,3,5,7}:{(198,1),(199,1),(200,1),(281,1),(283,1),(286,1),(421,1)}
       243:{1,3,5,6}:{(199,1),(201,1),(284,1),(286,1),(287,1)}
       244:{1,4,5,7}:{(200,1),(201,1),(282,1),(286,1),(296,1),(362,1)}
       245:{1,4,5,7}:{(202,1),(203,1),(219,1),(276,1),(288,1),(362,1)}
       246:{1,3,5,6}:{(202,1),(204,1),(220,1),(277,1),(288,1),(289,1)}
       247:{1,3,4,6,7}:{(203,1),(204,1),(206,1),(210,1),(221,1),(278,1),(288,1),(290,1)}
       248:{2,4,6}:{(204,1),(205,1),(207,1),(289,1),(291,1)}
       249:{1,4,5,7}:{(205,1),(208,1),(212,1),(291,1),(296,1),(362,1)}
       250:{2,3,6,7}:{(206,1),(207,1),(213,1),(290,1),(293,1),(310,1),(358,1)}
       251:{1,3,6}:{(207,1),(208,1),(291,1),(294,1)}
       252:{1,2,5,7}:{(208,1),(209,1),(215,1),(294,1)}
       253:{1,2,3,7}:{(209,1),(216,1),(368,1)}
       254:{2,4,7}:{(210,1),(211,1),(213,1),(296,1)}
       255:{1,4,6}:{(211,1),(212,1),(214,1),(296,1)}
       256:{1,2,4,5}:{(212,1),(215,1),(228,1),(285,1),(297,1),(298,1),(300,1)}
       257:{1,3,5,7}:{(213,1),(214,1),(293,1),(296,1),(299,1),(362,1),(368,1)}
       258:{1,2,5,6}:{(214,1),(215,1),(230,1),(287,1),(294,1),(297,1),(299,1)}
       259:{1,2,3,5}:{(215,1),(216,1),(298,1),(300,1)}
       260:{3,4,5,6}:{(220,1),(301,1),(302,1),(422,1)}
       261:{3,4,6,7}:{(217,1),(301,1),(303,1)}
       262:{2,3,5,6,7}:{(217,1),(218,1),(224,1),(303,1),(304,1),(305,1)}
       263:{1,5,6,7}:{(218,1),(225,1),(362,1)}
       264:{3,5,7}:{(219,1),(220,1),(221,1)}
       265:{2,3,5,6}:{(220,1),(222,1),(289,1),(302,1),(305,1),(306,1)}
       266:{2,3,4,6,7}:{(221,1),(222,1),(224,1),(226,1),(290,1),(303,1),(305,1),(307,1),(402,1),(423,1)}
       267:{1,3,4,6}:{(222,1),(223,1),(291,1),(306,1),(308,1),(365,1),(405,1),(408,1)}
       268:{2,4,5,7}:{(223,1),(228,1),(308,1),(309,1),(311,1),(372,1),(409,1),(410,1)}
       269:{1,3,6,7}:{(224,1),(225,1),(229,1),(310,1)}
       270:{1,3,4,7}:{(226,1),(227,1),(229,1),(296,1),(311,1),(368,1)}
       271:{2,4,6}:{(227,1),(228,1),(230,1),(311,1),(312,1)}
       272:{2,3,5}:{(228,1),(298,1),(312,1),(313,1)}
       273:{2,5,7}:{(229,1),(230,1),(310,1),(311,1)}
       274:{3,5,6,7}:{(231,1),(237,1),(315,1),(318,1)}
       275:{2,5,6,7}:{(232,1),(238,1),(317,1),(328,1)}
       276:{2,4,5,7}:{(233,1),(234,1),(245,1),(318,1),(328,1)}
       277:{3,5,6}:{(233,1),(235,1),(318,1)}
       278:{3,4,6,7}:{(234,1),(235,1),(237,1),(239,1),(318,1),(393,1),(419,1)}
       279:{2,3,4,6}:{(235,1),(236,1),(248,1),(319,1),(321,1),(346,1),(395,1)}
       280:{1,3,4,5,7}:{(236,1),(241,1),(249,1),(321,1),(322,1),(324,1),(332,1),(380,1),(417,1),(418,1),(425,1),(426,1)}
       281:{2,3,6,7}:{(237,1),(238,1),(242,1),(323,1),(413,1)}
       282:{1,4,6,7}:{(238,1),(244,1),(317,1),(323,1)}
       283:{2,3,4,7}:{(239,1),(240,1),(242,1),(254,1),(324,1),(348,1),(425,1)}
       284:{1,3,4,6}:{(240,1),(241,1),(243,1),(255,1),(324,1),(325,1),(337,1)}
       285:{2,4,5}:{(241,1),(325,1),(326,1)}
       286:{1,3,5,7}:{(242,1),(243,1),(244,1),(323,1),(324,1),(327,1)}
       287:{2,5,6}:{(243,1),(325,1),(327,1)}
       288:{1,3,5,7}:{(245,1),(246,1),(247,1),(264,1),(318,1),(328,1)}
       289:{2,5,6}:{(246,1),(248,1),(328,1),(329,1)}
       290:{2,4,6,7}:{(247,1),(248,1),(250,1),(254,1),(328,1),(330,1)}
       291:{1,4,6}:{(248,1),(249,1),(251,1),(329,1)}
       292:{1,2,4,5,7}:{(249,1),(252,1),(256,1),(268,1),(322,1),(331,1),(332,1),(335,1),(336,1),(386,1),(390,1),(417,1),(418,1)}
       293:{1,3,6,7}:{(250,1),(251,1),(257,1),(330,1),(333,1)}
       294:{1,2,6}:{(251,1),(252,1)}
       295:{1,2,3,5,7}:{(252,1),(253,1),(259,1),(332,1),(334,1),(335,1),(390,1)}
       296:{1,4,7}:{(254,1),(255,1),(257,1)}
       297:{1,2,4,6}:{(255,1),(256,1),(258,1),(271,1),(325,1),(336,1),(337,1)}
       298:{1,3,5}:{(256,1),(272,1),(326,1),(337,1),(338,1)}
       299:{1,2,5,7}:{(257,1),(258,1),(273,1),(327,1),(333,1),(336,1)}
       300:{1,2,4}:{(259,1),(338,1)}
       301:{3,4,5,7}:{(260,1),(261,1),(264,1),(339,1),(425,1)}
       302:{2,4,5,6}:{(260,1),(265,1),(339,1),(340,1),(415,1)}
       303:{2,4,6,7}:{(261,1),(262,1),(339,1),(341,1)}
       304:{1,3,5,6,7}:{(262,1),(263,1),(269,1),(341,1),(342,1),(343,1),(393,1)}
       305:{2,3,5,7}:{(264,1),(265,1),(266,1),(328,1),(339,1),(343,1)}
       306:{1,3,5,6}:{(265,1),(267,1),(329,1),(340,1),(343,1),(344,1),(392,1)}
       307:{1,3,4,6,7}:{(266,1),(267,1),(269,1),(270,1),(330,1),(341,1),(343,1),(345,1),(388,1),(393,1),(417,1),(419,1)}
       308:{2,4,6}:{(267,1),(268,1),(344,1),(346,1)}
       309:{2,3,5,7}:{(268,1),(272,1),(332,1),(346,1),(347,1),(348,1),(396,1)}
       310:{2,6,7}:{(269,1),(273,1)}
       311:{2,4,7}:{(270,1),(271,1),(273,1),(348,1)}
       312:{2,3,6}:{(271,1),(272,1),(337,1),(348,1)}
       313:{2,3,4}:{(272,1),(338,1)}
       314:{3,4,5,6}:{(277,1),(349,1),(350,1),(408,1)}
       315:{3,4,6,7}:{(274,1),(349,1),(351,1)}
       316:{2,3,5,6,7}:{(274,1),(275,1),(281,1),(351,1),(352,1),(353,1)}
       317:{1,5,6,7}:{(275,1),(282,1),(362,1)}
       318:{3,5,7}:{(276,1),(277,1),(278,1)}
       319:{2,3,5,6}:{(277,1),(279,1),(289,1),(350,1),(353,1),(354,1)}
       320:{2,3,4,6,7}:{(278,1),(279,1),(281,1),(283,1),(290,1),(351,1),(353,1),(355,1),(374,1),(409,1)}
       321:{1,3,4,6}:{(279,1),(280,1),(291,1),(354,1),(356,1),(365,1),(405,1),(422,1)}
       322:{2,4,5,7}:{(280,1),(285,1),(356,1),(357,1),(359,1),(400,1),(423,1),(424,1)}
       323:{1,3,6,7}:{(281,1),(282,1),(286,1),(358,1)}
       324:{1,3,4,7}:{(283,1),(284,1),(286,1),(296,1),(359,1),(368,1)}
       325:{2,4,6}:{(284,1),(285,1),(287,1),(359,1),(360,1)}
       326:{2,3,5}:{(285,1),(298,1),(360,1),(361,1)}
       327:{2,5,7}:{(286,1),(287,1),(358,1),(359,1)}
       328:{2,5,7}:{(288,1),(289,1),(290,1),(362,1)}
       329:{1,5,6}:{(289,1),(291,1),(362,1)}
       330:{1,4,6,7}:{(290,1),(291,1),(293,1),(296,1),(362,1)}
       331:{1,2,4,6}:{(291,1),(292,1),(294,1),(308,1),(356,1),(363,1),(365,1),(405,1)}
       332:{1,3,5,7}:{(292,1),(298,1),(309,1),(357,1),(365,1),(366,1),(368,1),(406,1)}
       333:{1,2,6,7}:{(293,1),(294,1),(299,1),(310,1),(358,1)}
       334:{1,2,3,6}:{(294,1),(295,1),(365,1),(367,1)}
       335:{1,2,4,7}:{(295,1),(300,1),(366,1),(367,1)}
       336:{1,2,4,7}:{(296,1),(297,1),(299,1),(311,1),(359,1),(368,1)}
       337:{1,3,6}:{(297,1),(298,1),(312,1),(360,1),(368,1)}
       338:{1,3,4}:{(298,1),(300,1),(313,1),(361,1)}
       339:{2,4,5,7}:{(301,1),(302,1),(303,1),(305,1),(369,1),(423,1)}
       340:{1,4,5,6}:{(302,1),(306,1),(369,1),(370,1),(405,1)}
       341:{1,4,6,7}:{(303,1),(304,1),(369,1),(371,1)}
       342:{2,5,6,7}:{(304,1),(310,1),(371,1),(372,1)}
       343:{1,3,5,7}:{(305,1),(306,1),(307,1),(362,1),(369,1),(372,1),(407,1)}
       344:{2,5,6}:{(306,1),(308,1),(372,1)}
       345:{2,4,6,7}:{(307,1),(308,1),(310,1),(311,1),(372,1),(374,1),(409,1)}
       346:{2,3,6}:{(308,1),(309,1),(365,1)}
       347:{2,3,4,7}:{(309,1),(313,1),(366,1),(375,1),(409,1)}
       348:{2,3,7}:{(311,1),(312,1),(368,1)}
       349:{3,4,5,7}:{(314,1),(315,1),(318,1),(376,1),(419,1)}
       350:{2,4,5,6}:{(314,1),(319,1),(376,1),(377,1),(395,1)}
       351:{2,4,6,7}:{(315,1),(316,1),(376,1),(378,1)}
       352:{1,3,5,6,7}:{(316,1),(317,1),(323,1),(378,1),(379,1),(380,1),(413,1)}
       353:{2,3,5,7}:{(318,1),(319,1),(320,1),(328,1),(376,1),(380,1)}
       354:{1,3,5,6}:{(319,1),(321,1),(329,1),(377,1),(380,1),(381,1),(412,1)}
       355:{1,3,4,6,7}:{(320,1),(321,1),(323,1),(324,1),(330,1),(378,1),(380,1),(382,1),(388,1),(413,1),(417,1),(425,1)}
       356:{2,4,6}:{(321,1),(322,1),(381,1),(383,1)}
       357:{2,3,5,7}:{(322,1),(326,1),(332,1),(383,1),(384,1),(385,1),(416,1)}
       358:{2,6,7}:{(323,1),(327,1)}
       359:{2,4,7}:{(324,1),(325,1),(327,1),(385,1)}
       360:{2,3,6}:{(325,1),(326,1),(337,1),(385,1)}
       361:{2,3,4}:{(326,1),(338,1)}
       362:{1,5,7}:{(328,1),(329,1),(330,1)}
       363:{1,2,5,6}:{(329,1),(331,1),(344,1),(381,1),(386,1),(387,1),(390,1)}
       364:{1,2,4,6,7}:{(330,1),(331,1),(333,1),(336,1),(345,1),(382,1),(386,1),(388,1),(417,1)}
       365:{1,3,6}:{(331,1),(332,1),(346,1),(383,1)}
       366:{1,3,4,7}:{(332,1),(335,1),(338,1),(347,1),(384,1),(389,1),(417,1)}
       367:{1,2,4,6}:{(334,1),(335,1),(389,1),(390,1)}
       368:{1,3,7}:{(336,1),(337,1),(348,1),(385,1)}
       369:{1,4,5,7}:{(339,1),(340,1),(341,1),(343,1),(391,1),(417,1)}
       370:{2,4,5,6}:{(340,1),(344,1),(391,1),(392,1),(395,1)}
       371:{2,4,6,7}:{(341,1),(342,1),(391,1),(393,1)}
       372:{2,5,7}:{(343,1),(344,1),(345,1)}
       373:{2,3,5,6}:{(344,1),(346,1),(387,1),(392,1),(394,1),(395,1),(396,1)}
       374:{2,3,6,7}:{(345,1),(346,1),(348,1),(388,1),(393,1),(394,1)}
       375:{2,3,4,6}:{(346,1),(347,1),(389,1),(395,1),(396,1)}
       376:{2,4,5,7}:{(349,1),(350,1),(351,1),(353,1),(397,1),(409,1)}
       377:{1,4,5,6}:{(350,1),(354,1),(397,1),(398,1),(405,1)}
       378:{1,4,6,7}:{(351,1),(352,1),(397,1),(399,1)}
       379:{2,5,6,7}:{(352,1),(358,1),(399,1),(400,1)}
       380:{1,3,5,7}:{(353,1),(354,1),(355,1),(362,1),(397,1),(400,1),(421,1)}
       381:{2,5,6}:{(354,1),(356,1),(400,1)}
       382:{2,4,6,7}:{(355,1),(356,1),(358,1),(359,1),(400,1),(402,1),(423,1)}
       383:{2,3,6}:{(356,1),(357,1),(365,1)}
       384:{2,3,4,7}:{(357,1),(361,1),(366,1),(403,1),(423,1)}
       385:{2,3,7}:{(359,1),(360,1),(368,1)}
       386:{1,2,5,7}:{(362,1),(363,1),(364,1),(372,1),(400,1),(404,1)}
       387:{1,3,5,6}:{(363,1),(365,1),(373,1),(401,1),(404,1),(405,1),(406,1)}
       388:{1,3,6,7}:{(364,1),(365,1),(368,1),(374,1),(402,1),(404,1)}
       389:{1,3,4,6}:{(365,1),(366,1),(367,1),(375,1),(403,1),(405,1),(406,1)}
       390:{1,2,5}:{(367,1),(406,1)}
       391:{2,4,5,7}:{(369,1),(370,1),(371,1),(372,1),(407,1),(409,1)}
       392:{3,5,6}:{(370,1),(407,1),(408,1)}
       393:{3,6,7}:{(371,1),(407,1)}
       394:{2,3,5,7}:{(372,1),(373,1),(374,1),(404,1),(407,1),(409,1)}
       395:{2,4,6}:{(373,1),(405,1),(408,1),(409,1),(410,1)}
       396:{2,3,5}:{(375,1),(406,1),(410,1)}
       397:{1,4,5,7}:{(376,1),(377,1),(378,1),(380,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(377,1),(381,1),(411,1),(412,1),(415,1)}
       399:{2,4,6,7}:{(378,1),(379,1),(411,1),(413,1)}
       400:{2,5,7}:{(380,1),(381,1),(382,1)}
       401:{2,3,5,6}:{(381,1),(383,1),(387,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(382,1),(383,1),(385,1),(388,1),(413,1),(414,1)}
       403:{2,3,4,6}:{(383,1),(384,1),(389,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(386,1),(387,1),(388,1),(394,1),(414,1),(417,1)}
       405:{1,4,6}:{(387,1),(395,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(389,1),(390,1),(396,1),(416,1),(418,1)}
       407:{3,5,7}:{(391,1),(392,1),(393,1),(419,1)}
       408:{3,4,6}:{(392,1),(395,1),(419,1),(420,1)}
       409:{2,4,7}:{(394,1),(395,1),(417,1),(419,1)}
       410:{2,4,5}:{(395,1),(396,1),(418,1),(420,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(399,1),(400,1),(421,1),(423,1)}
       412:{3,5,6}:{(398,1),(421,1),(422,1)}
       413:{3,6,7}:{(399,1),(421,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(421,1),(423,1)}
       415:{2,4,6}:{(401,1),(405,1),(422,1),(423,1),(424,1)}
       416:{2,3,5}:{(403,1),(406,1),(424,1)}
       417:{1,4,7}:{(404,1),(405,1),(409,1),(423,1)}
       418:{1,4,5}:{(405,1),(406,1),(410,1),(424,1)}
       419:{3,4,7}:{(407,1),(408,1),(409,1)}
       420:{3,4,5}:{(408,1),(410,1)}
       421:{3,5,7}:{(411,1),(412,1),(413,1),(425,1)}
       422:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       423:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       424:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       425:{3,4,7}:{(421,1),(422,1),(423,1)}
       426:{3,4,5}:{(422,1),(424,1)}

2545 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(103,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(35,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(82,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(80,1),(129,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(66,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(60,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(143,1),(166,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(60,1),(110,1),(115,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(108,1),(148,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(82,1),(122,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(46,1),(95,1)}
        15:{1,2,3,7}:{(5,1),(34,1),(87,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(85,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(35,1),(36,1),(37,1),(82,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(38,1),(39,1),(129,1),(160,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(40,1),(157,1),(172,1)}
        21:{2,3,4,6}:{(9,1),(33,1),(41,1),(42,1),(46,1),(95,1),(96,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(38,1),(43,1),(44,1),(89,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(39,1),(44,1),(45,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(46,1)}
        25:{2,4,6}:{(10,1),(11,1),(43,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(44,1),(47,1),(87,1),(134,1),(137,1)}
        27:{3,4,5,6}:{(48,1),(49,1),(115,1),(152,1)}
        28:{2,3,5,6}:{(14,1),(48,1),(51,1),(52,1)}
        29:{2,3,4}:{(17,1),(53,1)}
        30:{2,4,5}:{(13,1),(53,1),(54,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(51,1),(54,1),(55,1),(60,1),(110,1),(143,1)}
        32:{2,3,4,7}:{(14,1),(52,1),(55,1),(71,1),(120,1)}
        33:{1,3,4,6}:{(16,1),(17,1),(21,1),(50,1),(56,1),(57,1),(60,1),(110,1),(111,1)}
        34:{1,2,4,7}:{(15,1),(16,1),(56,1),(58,1)}
        35:{1,2,5}:{(16,1),(57,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(53,1),(60,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(54,1),(59,1),(60,1),(61,1),(110,1)}
        38:{1,4,5,6}:{(19,1),(22,1),(62,1),(63,1),(110,1),(150,1)}
        39:{2,4,5,7}:{(19,1),(20,1),(23,1),(63,1),(64,1),(148,1),(169,1)}
        40:{3,4,6,7}:{(20,1),(64,1),(65,1)}
        41:{2,3,4,7}:{(21,1),(56,1),(67,1),(71,1),(120,1)}
        42:{2,3,5}:{(21,1),(57,1),(66,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(26,1),(63,1),(69,1),(70,1),(116,1)}
        45:{2,3,6,7}:{(23,1),(64,1),(70,1)}
        46:{2,3,6}:{(24,1),(25,1),(60,1),(71,1)}
        47:{2,4,7}:{(25,1),(26,1),(69,1),(71,1)}
        48:{2,4,5,6}:{(27,1),(28,1),(72,1),(73,1),(95,1),(140,1)}
        49:{3,4,5,7}:{(27,1),(73,1),(74,1),(137,1),(164,1)}
        50:{2,3,4,6}:{(29,1),(33,1),(75,1),(76,1),(80,1),(129,1),(130,1)}
        51:{1,3,5,6}:{(28,1),(31,1),(72,1),(77,1),(78,1),(123,1)}
        52:{2,3,5,7}:{(28,1),(32,1),(73,1),(78,1),(79,1)}
        53:{2,3,5}:{(29,1),(30,1),(36,1),(80,1)}
        54:{2,4,6}:{(30,1),(31,1),(77,1),(80,1),(81,1)}
        55:{1,3,4,7}:{(31,1),(32,1),(78,1),(81,1),(87,1),(134,1),(157,1)}
        56:{1,3,4,7}:{(33,1),(34,1),(41,1),(75,1),(83,1),(87,1),(134,1)}
        57:{1,3,5}:{(33,1),(35,1),(42,1),(76,1),(82,1)}
        58:{1,2,5,7}:{(34,1),(35,1),(83,1),(85,1)}
        59:{1,2,5,6}:{(35,1),(37,1),(43,1),(77,1),(84,1),(85,1),(86,1)}
        60:{1,3,6}:{(36,1),(37,1),(46,1),(80,1),(87,1)}
        61:{1,2,4,7}:{(37,1),(47,1),(81,1),(86,1),(87,1),(134,1)}
        62:{2,4,5,6}:{(38,1),(43,1),(89,1),(90,1),(95,1),(140,1),(163,1)}
        63:{1,4,5,7}:{(38,1),(39,1),(44,1),(90,1),(91,1),(134,1),(162,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(45,1),(91,1),(92,1)}
        65:{3,5,6,7}:{(40,1),(92,1),(93,1),(172,1)}
        66:{2,4,5}:{(42,1),(82,1),(88,1),(95,1)}
        67:{2,3,5,7}:{(41,1),(42,1),(83,1),(94,1),(96,1)}
        68:{2,3,5,6}:{(42,1),(43,1),(46,1),(84,1),(89,1),(95,1),(96,1),(97,1),(140,1)}
        69:{2,5,7}:{(43,1),(44,1),(47,1),(98,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(91,1),(98,1),(138,1)}
        71:{2,3,7}:{(46,1),(47,1),(87,1)}
        72:{1,4,5,6}:{(48,1),(51,1),(99,1),(100,1),(110,1),(150,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(52,1),(100,1),(101,1),(120,1),(155,1)}
        74:{3,4,6,7}:{(49,1),(101,1),(102,1)}
        75:{2,3,4,7}:{(50,1),(56,1),(104,1),(108,1),(148,1)}
        76:{2,3,5}:{(50,1),(57,1),(103,1)}
        77:{2,5,6}:{(51,1),(54,1),(106,1)}
        78:{1,3,5,7}:{(51,1),(52,1),(55,1),(100,1),(106,1),(107,1),(144,1)}
        79:{2,3,6,7}:{(52,1),(101,1),(107,1)}
        80:{2,3,6}:{(53,1),(54,1),(60,1),(108,1)}
        81:{2,4,7}:{(54,1),(55,1),(106,1),(108,1)}
        82:{1,4,5}:{(57,1),(66,1),(103,1),(110,1)}
        83:{1,3,5,7}:{(56,1),(57,1),(58,1),(67,1),(104,1),(109,1),(111,1)}
        84:{1,3,5,6}:{(57,1),(59,1),(60,1),(68,1),(105,1),(110,1),(111,1),(112,1),(150,1)}
        85:{1,2,6}:{(58,1),(111,1)}
        86:{1,2,5,7}:{(59,1),(61,1),(69,1),(106,1),(112,1),(113,1)}
        87:{1,3,7}:{(60,1),(61,1),(71,1),(108,1)}
        88:{3,4,5}:{(66,1),(115,1)}
        89:{3,5,6}:{(62,1),(115,1),(116,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(69,1),(116,1),(117,1),(120,1),(155,1),(170,1)}
        91:{1,4,6,7}:{(63,1),(64,1),(70,1),(117,1),(118,1)}
        92:{2,5,6,7}:{(64,1),(65,1),(118,1),(169,1)}
        93:{4,5,6,7}:{(65,1),(174,1)}
        94:{2,4,5,7}:{(66,1),(67,1),(109,1),(114,1),(119,1),(120,1),(155,1)}
        95:{2,4,6}:{(66,1),(68,1),(110,1),(115,1),(120,1)}
        96:{2,3,6}:{(67,1),(111,1),(119,1)}
        97:{2,3,5,7}:{(68,1),(69,1),(71,1),(112,1),(116,1),(120,1),(121,1),(155,1)}
        98:{2,6,7}:{(69,1),(70,1)}
        99:{2,4,5,6}:{(72,1),(77,1),(123,1),(124,1),(129,1),(160,1),(171,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(78,1),(124,1),(125,1),(134,1),(162,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(79,1),(125,1),(126,1)}
       102:{3,5,6,7}:{(74,1),(126,1),(127,1),(164,1)}
       103:{2,4,5}:{(76,1),(82,1),(122,1),(129,1)}
       104:{2,3,5,7}:{(75,1),(76,1),(83,1),(128,1),(130,1)}
       105:{2,3,5,6}:{(76,1),(77,1),(80,1),(84,1),(123,1),(129,1),(130,1),(131,1),(160,1)}
       106:{2,5,7}:{(77,1),(78,1),(81,1),(132,1)}
       107:{1,3,6,7}:{(78,1),(79,1),(125,1),(132,1),(158,1)}
       108:{2,3,7}:{(80,1),(81,1),(87,1)}
       109:{1,4,5,7}:{(82,1),(83,1),(94,1),(128,1),(133,1),(134,1),(162,1)}
       110:{1,4,6}:{(82,1),(84,1),(95,1),(129,1),(134,1)}
       111:{1,3,6}:{(83,1),(85,1),(96,1),(130,1),(133,1)}
       112:{1,3,5,7}:{(84,1),(86,1),(87,1),(97,1),(131,1),(134,1),(135,1),(162,1)}
       113:{1,2,6,7}:{(85,1),(86,1),(98,1),(132,1),(135,1)}
       114:{3,4,5,7}:{(88,1),(94,1),(136,1),(137,1),(164,1)}
       115:{3,4,6}:{(88,1),(89,1),(95,1),(137,1)}
       116:{3,5,7}:{(89,1),(90,1),(137,1),(138,1)}
       117:{2,4,6,7}:{(90,1),(91,1),(98,1),(138,1),(139,1),(165,1)}
       118:{1,5,6,7}:{(91,1),(92,1),(139,1),(162,1)}
       119:{2,4,6}:{(94,1),(96,1),(133,1),(136,1),(140,1)}
       120:{2,4,7}:{(95,1),(97,1),(134,1),(137,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(98,1),(135,1),(138,1),(141,1)}
       122:{3,4,5}:{(103,1),(143,1)}
       123:{3,5,6}:{(99,1),(143,1),(144,1)}
       124:{2,4,5,7}:{(99,1),(100,1),(106,1),(144,1),(145,1),(148,1),(169,1),(174,1)}
       125:{1,4,6,7}:{(100,1),(101,1),(107,1),(145,1),(146,1)}
       126:{2,5,6,7}:{(101,1),(102,1),(146,1),(155,1)}
       127:{4,5,6,7}:{(102,1),(170,1)}
       128:{2,4,5,7}:{(103,1),(104,1),(109,1),(142,1),(147,1),(148,1),(169,1)}
       129:{2,4,6}:{(103,1),(105,1),(110,1),(143,1),(148,1)}
       130:{2,3,6}:{(104,1),(111,1),(147,1)}
       131:{2,3,5,7}:{(105,1),(106,1),(108,1),(112,1),(144,1),(148,1),(149,1),(169,1)}
       132:{2,6,7}:{(106,1),(107,1)}
       133:{1,4,6}:{(109,1),(111,1),(119,1),(147,1),(150,1)}
       134:{1,4,7}:{(110,1),(112,1),(120,1),(148,1)}
       135:{1,3,6,7}:{(111,1),(112,1),(113,1),(121,1),(149,1),(151,1)}
       136:{3,4,6}:{(114,1),(119,1),(152,1)}
       137:{3,4,7}:{(115,1),(116,1),(120,1)}
       138:{3,6,7}:{(116,1),(117,1)}
       139:{2,5,6,7}:{(117,1),(118,1),(154,1),(155,1)}
       140:{2,5,6}:{(119,1),(150,1),(152,1),(155,1)}
       141:{2,4,6,7}:{(119,1),(120,1),(121,1),(151,1),(153,1),(155,1)}
       142:{3,4,5,7}:{(122,1),(128,1),(156,1),(157,1),(172,1)}
       143:{3,4,6}:{(122,1),(123,1),(129,1),(157,1)}
       144:{3,5,7}:{(123,1),(124,1),(157,1),(158,1)}
       145:{2,4,6,7}:{(124,1),(125,1),(132,1),(158,1),(159,1),(173,1)}
       146:{1,5,6,7}:{(125,1),(126,1),(159,1),(162,1)}
       147:{2,4,6}:{(128,1),(130,1),(133,1),(156,1),(160,1)}
       148:{2,4,7}:{(129,1),(131,1),(134,1),(157,1)}
       149:{2,3,6,7}:{(130,1),(131,1),(132,1),(135,1),(158,1),(161,1)}
       150:{1,5,6}:{(133,1),(140,1),(160,1),(162,1)}
       151:{1,4,6,7}:{(133,1),(134,1),(135,1),(141,1),(161,1),(162,1)}
       152:{3,5,6}:{(136,1),(140,1),(163,1),(164,1)}
       153:{3,4,6,7}:{(136,1),(137,1),(138,1),(141,1),(164,1),(165,1)}
       154:{3,5,6,7}:{(138,1),(139,1),(164,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(164,1)}
       156:{3,4,6}:{(142,1),(147,1),(166,1)}
       157:{3,4,7}:{(143,1),(144,1),(148,1)}
       158:{3,6,7}:{(144,1),(145,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(168,1),(169,1)}
       160:{2,5,6}:{(147,1),(150,1),(166,1),(169,1)}
       161:{2,4,6,7}:{(147,1),(148,1),(149,1),(151,1),(167,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{4,5,6}:{(152,1),(170,1)}
       164:{3,5,7}:{(152,1),(153,1),(155,1),(170,1)}
       165:{4,6,7}:{(154,1),(170,1)}
       166:{3,5,6}:{(156,1),(160,1),(171,1),(172,1)}
       167:{3,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(172,1),(173,1)}
       168:{3,5,6,7}:{(158,1),(159,1),(172,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(172,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(166,1),(174,1)}
       172:{3,5,7}:{(166,1),(167,1),(169,1),(174,1)}
       173:{4,6,7}:{(168,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2546 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2547 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(163,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(95,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(9,1),(10,1),(118,1),(155,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(11,1),(153,1),(170,1)}
         4:{1,2,3,5}:{(7,1),(12,1),(33,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(14,1),(15,1),(39,1),(46,1),(74,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(90,1),(118,1)}
         7:{1,2,3,6}:{(4,1),(17,1),(18,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(20,1),(21,1)}
         9:{1,4,5,6}:{(2,1),(20,1),(22,1),(23,1),(99,1),(143,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(21,1),(23,1),(24,1),(140,1),(166,1)}
        11:{3,4,6,7}:{(3,1),(24,1),(25,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{2,3,4}:{(26,1),(28,1)}
        14:{2,4,5}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(20,1),(29,1),(30,1),(62,1),(68,1),(99,1)}
        16:{2,3,4,7}:{(6,1),(21,1),(30,1),(112,1),(140,1)}
        17:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        18:{1,2,4,6}:{(7,1),(12,1),(31,1),(32,1),(33,1),(77,1)}
        19:{2,3,4,6}:{(13,1),(31,1),(34,1),(35,1),(49,1),(80,1),(81,1)}
        20:{1,3,5,6}:{(8,1),(9,1),(15,1),(36,1),(37,1),(40,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(16,1),(37,1),(38,1)}
        22:{2,4,5,6}:{(9,1),(36,1),(40,1),(41,1),(80,1),(126,1),(129,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(37,1),(41,1),(42,1),(123,1),(158,1)}
        24:{2,4,6,7}:{(10,1),(11,1),(38,1),(42,1),(43,1)}
        25:{3,5,6,7}:{(11,1),(43,1),(44,1),(170,1)}
        26:{1,3,4}:{(12,1),(13,1),(45,1),(46,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(33,1),(46,1),(47,1),(74,1),(89,1)}
        28:{2,3,5}:{(13,1),(14,1),(46,1),(49,1)}
        29:{2,4,6}:{(14,1),(15,1),(36,1),(49,1),(50,1)}
        30:{1,3,4,7}:{(15,1),(16,1),(37,1),(50,1),(86,1),(92,1),(123,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(26,1),(51,1),(52,1),(53,1),(68,1),(99,1),(100,1)}
        32:{1,2,4,7}:{(17,1),(18,1),(52,1),(54,1)}
        33:{1,2,5}:{(18,1),(53,1)}
        34:{2,3,4,7}:{(19,1),(52,1),(57,1),(71,1),(105,1)}
        35:{2,3,5}:{(19,1),(53,1),(56,1)}
        36:{2,5,6}:{(20,1),(29,1),(59,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(59,1),(60,1),(63,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(60,1)}
        39:{3,4,5}:{(56,1),(62,1)}
        40:{3,5,6}:{(22,1),(62,1),(63,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(59,1),(63,1),(64,1),(105,1),(146,1),(148,1)}
        42:{1,4,6,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(166,1)}
        44:{4,5,6,7}:{(25,1),(173,1)}
        45:{2,3,4}:{(26,1),(66,1)}
        46:{1,3,5}:{(26,1),(27,1),(28,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(27,1),(29,1),(55,1),(68,1),(69,1),(99,1),(111,1)}
        48:{2,3,4,5}:{(28,1),(56,1),(67,1),(70,1)}
        49:{2,3,6}:{(28,1),(29,1),(68,1),(71,1)}
        50:{2,4,7}:{(29,1),(30,1),(59,1),(71,1)}
        51:{2,3,4,6}:{(31,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(31,1),(32,1),(34,1),(72,1),(75,1),(92,1),(123,1)}
        53:{1,3,5}:{(31,1),(33,1),(35,1),(73,1),(74,1)}
        54:{1,2,5,7}:{(32,1),(33,1),(75,1),(77,1)}
        55:{1,2,5,6}:{(33,1),(36,1),(47,1),(76,1),(77,1),(78,1),(132,1)}
        56:{2,4,5}:{(35,1),(39,1),(74,1),(80,1)}
        57:{2,3,5,7}:{(34,1),(35,1),(75,1),(79,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(36,1),(40,1),(49,1),(76,1),(80,1),(81,1),(82,1),(126,1)}
        59:{2,5,7}:{(36,1),(37,1),(50,1),(83,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(42,1),(83,1),(87,1)}
        61:{3,4,5,7}:{(39,1),(79,1),(85,1),(86,1),(130,1)}
        62:{3,4,6}:{(39,1),(40,1),(80,1),(86,1)}
        63:{3,5,7}:{(40,1),(41,1),(86,1),(87,1)}
        64:{2,4,6,7}:{(41,1),(42,1),(83,1),(87,1),(88,1),(131,1)}
        65:{1,5,6,7}:{(42,1),(43,1),(88,1),(158,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(74,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(123,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(80,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(96,1),(112,1),(140,1)}
        73:{2,3,5}:{(51,1),(53,1),(95,1)}
        74:{1,4,5}:{(53,1),(56,1),(95,1),(99,1)}
        75:{1,3,5,7}:{(52,1),(53,1),(54,1),(57,1),(96,1),(98,1),(100,1)}
        76:{1,3,5,6}:{(53,1),(55,1),(58,1),(68,1),(97,1),(99,1),(100,1),(101,1),(143,1)}
        77:{1,2,6}:{(54,1),(100,1)}
        78:{1,2,5,7}:{(55,1),(59,1),(69,1),(101,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(57,1),(61,1),(98,1),(104,1),(105,1),(146,1)}
        80:{2,4,6}:{(56,1),(58,1),(62,1),(99,1),(105,1)}
        81:{2,3,6}:{(57,1),(100,1),(104,1)}
        82:{2,3,5,7}:{(58,1),(59,1),(63,1),(71,1),(101,1),(105,1),(106,1),(146,1)}
        83:{2,6,7}:{(59,1),(60,1)}
        84:{3,4,5,6}:{(62,1),(103,1),(107,1),(108,1)}
        85:{3,4,6}:{(61,1),(104,1),(108,1)}
        86:{3,4,7}:{(62,1),(63,1),(105,1)}
        87:{3,6,7}:{(63,1),(64,1)}
        88:{2,5,6,7}:{(64,1),(65,1),(110,1),(146,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(99,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(103,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(105,1),(114,1),(115,1)}
        95:{2,4,5}:{(73,1),(74,1),(116,1),(118,1)}
        96:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(76,1),(90,1),(118,1),(119,1),(120,1),(132,1),(151,1),(155,1)}
        98:{1,4,5,7}:{(74,1),(75,1),(79,1),(117,1),(122,1),(123,1),(158,1)}
        99:{1,4,6}:{(74,1),(76,1),(80,1),(118,1),(123,1)}
       100:{1,3,6}:{(75,1),(77,1),(81,1),(119,1),(122,1)}
       101:{1,3,5,7}:{(76,1),(78,1),(82,1),(92,1),(120,1),(123,1),(124,1),(158,1)}
       102:{1,2,6,7}:{(77,1),(78,1),(83,1),(124,1),(161,1)}
       103:{2,4,5,6}:{(80,1),(84,1),(93,1),(121,1),(125,1),(126,1)}
       104:{2,4,6}:{(79,1),(81,1),(85,1),(122,1),(126,1)}
       105:{2,4,7}:{(80,1),(82,1),(86,1),(123,1)}
       106:{2,3,6,7}:{(81,1),(82,1),(83,1),(87,1),(124,1),(127,1)}
       107:{3,4,5,7}:{(84,1),(86,1),(125,1),(128,1),(130,1)}
       108:{3,5,6}:{(85,1),(126,1),(129,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(87,1),(127,1),(130,1),(131,1)}
       110:{3,5,6,7}:{(87,1),(88,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(121,1),(132,1),(134,1),(151,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(123,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(125,1),(134,1),(135,1)}
       116:{3,4,5}:{(95,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(139,1),(140,1),(166,1)}
       118:{2,4,6}:{(95,1),(97,1),(99,1),(137,1),(140,1)}
       119:{2,3,6}:{(96,1),(100,1),(139,1)}
       120:{2,3,5,7}:{(97,1),(101,1),(112,1),(140,1),(141,1),(149,1),(162,1),(166,1)}
       121:{1,4,5,6}:{(99,1),(103,1),(113,1),(138,1),(142,1),(143,1)}
       122:{1,4,6}:{(98,1),(100,1),(104,1),(139,1),(143,1)}
       123:{1,4,7}:{(99,1),(101,1),(105,1),(140,1)}
       124:{1,3,6,7}:{(100,1),(101,1),(102,1),(106,1),(141,1),(144,1)}
       125:{2,4,5,7}:{(103,1),(105,1),(107,1),(115,1),(142,1),(145,1),(146,1)}
       126:{2,5,6}:{(104,1),(108,1),(143,1),(146,1)}
       127:{2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(144,1),(146,1)}
       128:{3,4,6,7}:{(107,1),(145,1),(147,1)}
       129:{4,5,6}:{(108,1),(148,1)}
       130:{3,5,7}:{(108,1),(109,1),(146,1),(148,1)}
       131:{4,6,7}:{(110,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(142,1),(149,1),(150,1),(162,1)}
       135:{2,3,6,7}:{(115,1),(145,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(152,1),(153,1),(170,1)}
       137:{3,4,6}:{(116,1),(118,1),(151,1),(153,1)}
       138:{2,4,5,6}:{(118,1),(121,1),(132,1),(151,1),(154,1),(155,1),(169,1)}
       139:{2,4,6}:{(117,1),(119,1),(122,1),(152,1),(155,1)}
       140:{2,4,7}:{(118,1),(120,1),(123,1),(153,1)}
       141:{2,3,6,7}:{(119,1),(120,1),(124,1),(156,1),(161,1),(168,1)}
       142:{1,4,5,7}:{(121,1),(123,1),(125,1),(134,1),(154,1),(157,1),(158,1)}
       143:{1,5,6}:{(122,1),(126,1),(155,1),(158,1)}
       144:{1,4,6,7}:{(122,1),(123,1),(124,1),(127,1),(156,1),(158,1)}
       145:{2,4,6,7}:{(125,1),(128,1),(135,1),(157,1),(159,1)}
       146:{2,5,7}:{(126,1),(127,1),(130,1),(158,1)}
       147:{3,5,6,7}:{(128,1),(130,1),(159,1),(160,1)}
       148:{4,5,7}:{(129,1),(130,1),(131,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(157,1),(161,1),(168,1)}
       151:{3,5,6}:{(137,1),(138,1),(162,1)}
       152:{3,4,6}:{(136,1),(139,1),(163,1)}
       153:{3,4,7}:{(137,1),(140,1),(162,1)}
       154:{2,4,5,7}:{(138,1),(140,1),(142,1),(149,1),(162,1),(165,1),(166,1),(173,1)}
       155:{2,5,6}:{(139,1),(143,1),(163,1),(166,1)}
       156:{2,4,6,7}:{(139,1),(140,1),(141,1),(144,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(142,1),(145,1),(150,1),(165,1),(167,1)}
       158:{1,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(147,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,7}:{(151,1),(153,1),(154,1),(168,1)}
       163:{3,5,6}:{(152,1),(155,1),(169,1),(170,1)}
       164:{3,4,6,7}:{(152,1),(153,1),(156,1),(168,1),(170,1),(174,1)}
       165:{2,4,6,7}:{(154,1),(157,1),(161,1),(168,1),(171,1),(174,1)}
       166:{2,5,7}:{(155,1),(156,1),(158,1),(170,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,6,7}:{(162,1),(165,1)}
       169:{4,5,6}:{(163,1),(173,1)}
       170:{3,5,7}:{(163,1),(164,1),(166,1),(173,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(172,1)}
       172:{3,5,6,7}:{(168,1),(170,1),(171,1),(174,1)}
       173:{4,5,7}:{(169,1),(170,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2548 :   0:{3,4,5,6}:{(2,1),(3,1),(94,1),(124,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(44,1),(97,1)}
         2:{3,4,5,7}:{(0,1),(8,1),(9,1),(106,1),(120,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(9,1),(10,1),(81,1),(122,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(11,1),(12,1),(59,1),(81,1)}
         5:{1,3,4,5}:{(1,1),(12,1),(13,1),(32,1),(58,1),(84,1)}
         6:{2,3,5,6}:{(3,1),(4,1),(14,1),(15,1)}
         7:{4,5,6,7}:{(16,1),(123,1)}
         8:{3,4,6,7}:{(2,1),(16,1),(17,1)}
         9:{2,4,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(96,1),(117,1)}
        10:{1,4,5,6}:{(3,1),(15,1),(18,1),(19,1),(68,1),(119,1)}
        11:{2,3,4,7}:{(4,1),(14,1),(21,1),(75,1),(96,1)}
        12:{1,3,4,6}:{(4,1),(5,1),(15,1),(21,1),(22,1),(43,1),(46,1),(68,1)}
        13:{2,4,5}:{(5,1),(22,1),(23,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(11,1),(24,1),(25,1)}
        15:{1,3,5,6}:{(6,1),(10,1),(12,1),(25,1),(26,1),(30,1)}
        16:{3,5,6,7}:{(7,1),(8,1),(27,1),(120,1)}
        17:{2,4,6,7}:{(8,1),(9,1),(24,1),(27,1),(28,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(25,1),(28,1),(29,1),(83,1),(110,1)}
        19:{2,4,5,6}:{(10,1),(26,1),(29,1),(30,1),(54,1),(112,1),(113,1)}
        20:{1,2,4,5}:{(13,1),(31,1),(32,1),(60,1),(84,1),(91,1)}
        21:{1,3,4,7}:{(11,1),(12,1),(25,1),(33,1),(57,1),(61,1),(83,1)}
        22:{2,4,6}:{(12,1),(13,1),(26,1),(33,1),(34,1)}
        23:{2,3,5}:{(13,1),(32,1),(34,1),(35,1)}
        24:{2,3,6,7}:{(14,1),(17,1),(37,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(21,1),(37,1),(38,1),(42,1)}
        26:{2,5,6}:{(15,1),(22,1),(38,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(40,1),(117,1)}
        28:{1,4,6,7}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(38,1),(41,1),(42,1),(70,1),(100,1),(102,1)}
        30:{3,5,6}:{(19,1),(42,1),(43,1)}
        31:{1,2,4,6}:{(20,1),(22,1),(36,1),(45,1),(46,1),(68,1),(76,1)}
        32:{1,3,5}:{(20,1),(23,1),(44,1),(46,1),(47,1)}
        33:{2,4,7}:{(21,1),(22,1),(38,1),(48,1)}
        34:{2,3,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{2,3,4}:{(23,1),(47,1)}
        36:{1,2,5,6}:{(26,1),(31,1),(50,1),(51,1),(91,1),(114,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(28,1),(52,1),(56,1)}
        38:{2,5,7}:{(25,1),(26,1),(33,1),(52,1)}
        39:{2,3,5,6}:{(26,1),(30,1),(34,1),(51,1),(53,1),(54,1),(64,1),(93,1),(112,1)}
        40:{1,5,6,7}:{(27,1),(28,1),(55,1),(110,1)}
        41:{2,4,6,7}:{(28,1),(29,1),(52,1),(55,1),(56,1),(87,1)}
        42:{3,5,7}:{(29,1),(30,1),(56,1),(57,1)}
        43:{3,4,6}:{(30,1),(54,1),(57,1),(58,1)}
        44:{2,3,5}:{(32,1),(59,1),(60,1),(91,1)}
        45:{1,2,4,7}:{(31,1),(33,1),(50,1),(61,1),(83,1),(90,1)}
        46:{1,3,6}:{(31,1),(32,1),(34,1),(59,1),(61,1)}
        47:{1,3,4}:{(32,1),(35,1),(60,1)}
        48:{2,3,7}:{(33,1),(34,1),(61,1)}
        49:{2,3,4,6}:{(34,1),(35,1),(54,1),(62,1),(63,1),(64,1),(93,1)}
        50:{1,2,5,7}:{(36,1),(38,1),(45,1),(66,1),(67,1),(104,1)}
        51:{1,3,5,6}:{(36,1),(39,1),(46,1),(65,1),(67,1),(68,1),(78,1),(105,1),(119,1)}
        52:{2,6,7}:{(37,1),(38,1)}
        53:{2,3,5,7}:{(38,1),(39,1),(42,1),(48,1),(67,1),(69,1),(70,1),(100,1)}
        54:{2,4,6}:{(39,1),(43,1),(68,1),(70,1),(71,1)}
        55:{2,5,6,7}:{(40,1),(41,1),(72,1),(100,1)}
        56:{3,6,7}:{(41,1),(42,1)}
        57:{3,4,7}:{(42,1),(43,1),(70,1)}
        58:{3,4,5}:{(43,1),(71,1)}
        59:{2,3,6}:{(44,1),(46,1),(75,1),(76,1)}
        60:{2,4}:{(44,1),(47,1)}
        61:{1,3,7}:{(45,1),(46,1),(48,1),(75,1)}
        62:{1,3,4,6}:{(46,1),(47,1),(49,1),(68,1),(76,1),(77,1),(78,1),(94,1),(105,1)}
        63:{2,3,4,7}:{(48,1),(49,1),(70,1),(77,1),(79,1)}
        64:{2,3,5}:{(49,1),(71,1),(78,1)}
        65:{2,3,5,6}:{(51,1),(59,1),(80,1),(81,1),(91,1),(107,1),(114,1),(121,1),(122,1)}
        66:{1,2,6,7}:{(50,1),(52,1),(82,1),(114,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(61,1),(80,1),(82,1),(83,1),(110,1)}
        68:{1,4,6}:{(51,1),(54,1),(81,1),(83,1),(84,1)}
        69:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(85,1),(93,1)}
        70:{2,4,7}:{(53,1),(54,1),(57,1),(83,1)}
        71:{2,4,5}:{(54,1),(58,1),(64,1),(84,1)}
        72:{3,5,6,7}:{(55,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(56,1),(57,1),(85,1),(87,1),(88,1),(89,1)}
        74:{3,4,5,7}:{(57,1),(58,1),(86,1),(88,1),(89,1)}
        75:{2,3,7}:{(59,1),(61,1),(90,1)}
        76:{2,4,6}:{(59,1),(60,1),(62,1),(90,1),(91,1),(114,1)}
        77:{1,3,4,7}:{(61,1),(62,1),(63,1),(83,1),(90,1),(92,1),(106,1)}
        78:{1,3,5}:{(62,1),(64,1),(84,1),(91,1),(107,1)}
        79:{2,3,5,7}:{(63,1),(64,1),(86,1),(92,1),(93,1)}
        80:{2,3,5,7}:{(65,1),(67,1),(75,1),(95,1),(96,1),(104,1),(116,1),(117,1)}
        81:{2,4,6}:{(65,1),(68,1),(94,1),(96,1),(97,1)}
        82:{1,3,6,7}:{(66,1),(67,1),(69,1),(95,1),(98,1),(105,1)}
        83:{1,4,7}:{(67,1),(68,1),(70,1),(96,1)}
        84:{1,4,5}:{(68,1),(71,1),(78,1),(97,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(73,1),(98,1),(100,1),(101,1)}
        86:{2,4,5,7}:{(70,1),(71,1),(74,1),(79,1),(99,1),(100,1),(101,1)}
        87:{4,6,7}:{(72,1),(102,1)}
        88:{3,5,7}:{(73,1),(100,1),(102,1),(103,1)}
        89:{3,4,6}:{(74,1),(101,1),(103,1)}
        90:{2,4,7}:{(75,1),(76,1),(77,1),(104,1)}
        91:{2,5}:{(76,1),(78,1)}
        92:{1,3,5,7}:{(77,1),(78,1),(79,1),(99,1),(104,1),(105,1),(116,1)}
        93:{2,3,6}:{(79,1),(101,1),(105,1)}
        94:{3,4,6}:{(81,1),(106,1),(107,1),(121,1)}
        95:{2,3,6,7}:{(80,1),(82,1),(108,1),(114,1),(121,1)}
        96:{2,4,7}:{(80,1),(81,1),(83,1),(106,1)}
        97:{2,4,5}:{(81,1),(84,1),(91,1),(107,1)}
        98:{1,4,6,7}:{(82,1),(83,1),(85,1),(108,1),(110,1),(111,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(86,1),(92,1),(109,1),(110,1),(111,1)}
       100:{2,5,7}:{(85,1),(88,1),(110,1),(112,1)}
       101:{2,4,6}:{(86,1),(89,1),(93,1),(111,1),(112,1)}
       102:{4,5,7}:{(87,1),(88,1),(113,1)}
       103:{3,5,6}:{(88,1),(89,1),(112,1),(113,1)}
       104:{2,5,7}:{(90,1),(91,1),(92,1),(114,1)}
       105:{1,3,6}:{(92,1),(93,1),(111,1),(114,1),(121,1)}
       106:{3,4,7}:{(94,1),(96,1),(116,1)}
       107:{3,5}:{(94,1),(97,1)}
       108:{2,4,6,7}:{(95,1),(96,1),(98,1),(115,1),(117,1),(118,1)}
       109:{2,4,5,7}:{(96,1),(97,1),(99,1),(104,1),(116,1),(117,1),(118,1),(123,1)}
       110:{1,5,7}:{(98,1),(100,1),(117,1),(119,1)}
       111:{1,4,6}:{(99,1),(101,1),(105,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(101,1),(103,1),(119,1)}
       113:{4,5,6}:{(102,1),(103,1)}
       114:{2,6}:{(104,1),(105,1)}
       115:{3,4,6,7}:{(106,1),(108,1),(120,1),(121,1),(125,1)}
       116:{3,5,7}:{(106,1),(107,1),(109,1),(121,1)}
       117:{2,5,7}:{(108,1),(110,1),(120,1),(122,1)}
       118:{2,4,6}:{(109,1),(111,1),(114,1),(121,1),(122,1),(125,1)}
       119:{1,5,6}:{(110,1),(111,1),(112,1),(122,1)}
       120:{3,5,7}:{(115,1),(117,1),(123,1),(124,1)}
       121:{3,6}:{(116,1),(118,1)}
       122:{2,5,6}:{(117,1),(118,1),(119,1),(124,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2549 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2550 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(40,1),(41,1),(92,1),(160,1),(165,1),(232,1),(239,1),(269,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(64,1),(128,1),(262,1),(266,1),(289,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(29,1),(66,1),(124,1),(134,1),(139,1),(140,1),(143,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(149,1),(220,1)}
         4:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(38,1),(87,1),(92,1),(93,1),(160,1),(219,1),(226,1)}
         5:{3,4,5,6}:{(13,1),(16,1),(164,1),(276,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(276,1),(280,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(17,1),(18,1),(47,1),(104,1),(109,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(50,1),(97,1),(107,1),(110,1),(159,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(115,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(183,1),(250,1)}
        11:{1,3,4,5,6}:{(5,1),(24,1),(25,1),(31,1),(55,1),(71,1),(78,1),(113,1),(138,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(65,1),(69,1),(129,1),(130,1),(134,1),(139,1),(195,1),(198,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(5,1),(22,1),(28,1),(197,1),(250,1)}
        14:{2,3,5,7}:{(4,1),(6,1),(28,1),(29,1),(250,1),(257,1)}
        15:{1,3,4,6,7}:{(4,1),(7,1),(29,1),(30,1),(61,1),(70,1),(119,1),(122,1),(124,1),(134,1),(140,1),(256,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(28,1),(31,1),(128,1)}
        17:{1,3,5,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(78,1),(296,1)}
        18:{2,4,6}:{(7,1),(8,1),(32,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(131,1),(196,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(83,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(14,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(42,1),(49,1),(81,1),(98,1),(106,1),(145,1),(170,1),(213,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(44,1),(45,1),(102,1),(174,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(46,1),(47,1),(96,1),(104,1),(233,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(40,1),(47,1),(48,1),(105,1),(166,1),(230,1),(232,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(16,1),(38,1),(49,1),(160,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(106,1),(279,1)}
        30:{2,4,6,7}:{(15,1),(18,1),(50,1),(51,1),(107,1),(154,1),(159,1)}
        31:{1,4,5,6}:{(16,1),(17,1),(49,1),(52,1),(104,1)}
        32:{2,5,6}:{(17,1),(18,1),(50,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(107,1),(167,1)}
        35:{3,5,6,7}:{(20,1),(56,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(56,1),(59,1),(61,1),(115,1),(119,1),(122,1),(183,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(29,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,5,7}:{(27,1),(64,1),(65,1),(129,1),(203,1),(259,1),(297,1)}
        41:{2,3,4,5}:{(63,1),(66,1),(143,1),(203,1),(210,1),(247,1)}
        42:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(68,1),(132,1),(206,1),(257,1)}
        43:{1,2,4,6,7}:{(26,1),(30,1),(69,1),(70,1),(126,1),(134,1),(189,1),(195,1),(256,1)}
        44:{2,3,5,6}:{(25,1),(63,1),(67,1),(71,1),(78,1),(181,1)}
        45:{1,4,5,6}:{(25,1),(68,1),(71,1),(209,1),(296,1)}
        46:{1,2,5,6}:{(26,1),(32,1),(69,1),(73,1),(129,1),(199,1),(296,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(64,1),(262,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(65,1),(74,1),(134,1),(197,1),(204,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(75,1),(134,1)}
        50:{2,5,7}:{(29,1),(30,1),(32,1)}
        51:{2,3,6,7}:{(30,1),(33,1),(70,1),(76,1),(122,1),(196,1)}
        52:{2,4,5,6}:{(31,1),(32,1),(75,1),(78,1),(79,1)}
        53:{2,3,5,6}:{(32,1),(33,1),(73,1),(76,1),(78,1),(79,1),(80,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(79,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(302,1)}
        56:{3,4,6,7}:{(35,1),(81,1),(83,1)}
        57:{2,3,5,6,7}:{(35,1),(37,1),(83,1),(84,1),(87,1),(144,1)}
        58:{2,3,4,5,7}:{(41,1),(85,1),(86,1),(92,1),(144,1),(176,1),(223,1),(239,1),(299,1),(303,1),(312,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(42,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(50,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(41,1),(44,1),(92,1),(94,1),(109,1),(174,1),(216,1),(234,1)}
        64:{2,3,6}:{(40,1),(47,1),(96,1),(306,1)}
        65:{2,4,7}:{(40,1),(48,1),(96,1),(237,1)}
        66:{1,3,4,5}:{(41,1),(94,1),(97,1),(166,1),(241,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(87,1),(92,1),(98,1),(106,1),(213,1)}
        68:{1,4,5,7}:{(42,1),(45,1),(88,1),(98,1),(238,1),(279,1)}
        69:{1,2,5,7}:{(43,1),(46,1),(50,1),(100,1),(161,1),(279,1)}
        70:{1,3,6,7}:{(43,1),(47,1),(51,1),(93,1),(100,1),(230,1)}
        71:{1,3,5,6}:{(44,1),(45,1),(94,1),(98,1),(102,1)}
        72:{1,2,4,5,6}:{(45,1),(46,1),(52,1),(99,1),(102,1),(103,1),(104,1),(147,1),(162,1),(165,1),(174,1),(214,1),(228,1),(233,1),(241,1),(271,1),(280,1),(284,1),(285,1),(303,1),(306,1),(313,1)}
        73:{1,3,5,6}:{(46,1),(47,1),(53,1),(95,1),(100,1),(104,1),(105,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(96,1),(104,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(52,1),(90,1),(106,1),(107,1)}
        76:{2,3,5,7}:{(50,1),(51,1),(53,1),(100,1),(106,1),(107,1)}
        77:{2,3,4,6,7}:{(51,1),(54,1),(101,1),(107,1),(108,1),(157,1),(177,1),(226,1),(231,1),(283,1)}
        78:{3,5,6}:{(52,1),(106,1),(109,1)}
        79:{2,4,6}:{(53,1),(104,1),(107,1),(109,1),(110,1)}
        80:{2,3,5}:{(54,1),(105,1),(110,1)}
        81:{3,4,5,7}:{(55,1),(56,1),(111,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(290,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(111,1),(115,1)}
        84:{1,3,5,6,7}:{(57,1),(60,1),(115,1),(116,1),(119,1),(178,1),(183,1)}
        85:{2,3,4,6}:{(58,1),(112,1),(117,1),(211,1),(252,1),(266,1),(290,1),(314,1)}
        86:{1,3,4,5,7}:{(58,1),(66,1),(117,1),(118,1),(124,1),(178,1),(187,1),(244,1),(247,1),(265,1),(287,1),(291,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(183,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(68,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(69,1),(116,1),(120,1),(121,1),(189,1),(199,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(76,1),(121,1),(122,1),(123,1),(142,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(124,1),(140,1),(206,1),(244,1),(259,1)}
        93:{2,3,6,7}:{(64,1),(70,1),(125,1),(126,1),(259,1),(262,1)}
        94:{1,3,4,6}:{(63,1),(66,1),(71,1),(124,1),(127,1),(200,1),(209,1)}
        95:{2,3,5,6}:{(64,1),(73,1),(125,1),(128,1),(129,1),(199,1),(202,1),(262,1)}
        96:{2,4,6}:{(64,1),(65,1),(74,1),(129,1)}
        97:{2,4,5}:{(66,1),(127,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(71,1),(119,1),(124,1),(132,1)}
        99:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(75,1),(120,1),(132,1),(133,1),(134,1),(179,1),(192,1),(195,1),(198,1),(206,1),(242,1),(257,1),(265,1),(287,1),(297,1),(308,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(73,1),(76,1),(125,1),(134,1)}
       101:{1,3,4,6,7}:{(70,1),(74,1),(77,1),(126,1),(134,1),(135,1),(197,1),(208,1),(256,1),(260,1),(262,1),(298,1)}
       102:{2,5,6}:{(71,1),(127,1),(132,1)}
       103:{1,3,5,6}:{(72,1),(78,1),(133,1),(137,1),(138,1),(181,1),(200,1),(202,1),(262,1),(264,1),(298,1),(310,1),(314,1)}
       104:{1,4,6}:{(73,1),(79,1),(128,1),(134,1),(139,1)}
       105:{1,3,5}:{(74,1),(80,1),(129,1),(139,1),(202,1)}
       106:{3,5,7}:{(75,1),(78,1),(122,1),(140,1)}
       107:{2,4,7}:{(76,1),(79,1),(134,1),(140,1)}
       108:{2,3,5,7}:{(77,1),(80,1),(135,1),(141,1),(142,1),(193,1),(257,1)}
       109:{3,4,6}:{(78,1),(79,1),(140,1),(143,1)}
       110:{2,4,5}:{(79,1),(80,1),(139,1),(143,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(83,1),(144,1),(145,1),(299,1)}
       112:{2,3,5,6}:{(82,1),(85,1),(144,1),(146,1),(229,1),(280,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(271,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(148,1),(157,1),(226,1),(273,1),(299,1)}
       115:{1,4,6,7}:{(83,1),(84,1),(145,1),(149,1)}
       116:{2,5,6,7}:{(84,1),(149,1),(154,1),(212,1)}
       117:{1,3,4,6}:{(85,1),(86,1),(146,1),(151,1),(216,1),(221,1),(271,1),(285,1)}
       118:{2,4,5,7}:{(86,1),(97,1),(151,1),(153,1),(159,1),(212,1),(268,1),(272,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(149,1),(154,1),(155,1),(156,1),(226,1),(233,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(100,1),(150,1),(155,1),(156,1),(172,1),(225,1),(227,1),(267,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(107,1),(156,1),(157,1),(158,1),(177,1),(299,1),(313,1)}
       124:{1,3,4,7}:{(92,1),(94,1),(98,1),(159,1),(230,1),(238,1)}
       125:{2,3,5,7}:{(93,1),(95,1),(100,1),(160,1),(161,1),(232,1)}
       126:{2,4,6,7}:{(93,1),(96,1),(101,1),(160,1),(161,1),(233,1),(281,1),(306,1)}
       127:{2,4,6}:{(94,1),(97,1),(102,1),(159,1),(163,1)}
       128:{2,4,6}:{(95,1),(104,1),(160,1),(164,1),(165,1)}
       129:{2,5}:{(96,1),(105,1)}
       130:{1,2,4,5}:{(97,1),(162,1),(166,1),(237,1),(241,1),(284,1)}
       131:{2,3,5}:{(97,1),(163,1),(166,1),(167,1)}
       132:{2,5,7}:{(98,1),(102,1),(154,1),(159,1)}
       133:{1,3,5,7}:{(99,1),(103,1),(106,1),(155,1),(169,1),(170,1),(213,1),(230,1),(232,1),(312,1)}
       134:{1,4,7}:{(100,1),(104,1),(107,1),(160,1)}
       135:{1,3,5,7}:{(101,1),(105,1),(108,1),(161,1),(171,1),(172,1),(232,1),(279,1)}
       136:{1,2,5,6}:{(102,1),(162,1),(168,1),(173,1),(284,1),(306,1)}
       137:{2,3,5,6}:{(102,1),(103,1),(163,1),(169,1),(173,1),(174,1),(234,1),(236,1),(280,1),(283,1),(284,1),(306,1)}
       138:{1,3,4,6}:{(103,1),(104,1),(109,1),(164,1),(170,1),(174,1),(175,1),(216,1),(271,1),(302,1)}
       139:{1,4,5}:{(104,1),(105,1),(110,1),(165,1)}
       140:{3,4,7}:{(106,1),(107,1),(109,1)}
       141:{2,4,5,7}:{(107,1),(108,1),(110,1),(171,1),(176,1),(177,1)}
       142:{2,3,5,6}:{(108,1),(172,1),(177,1),(229,1),(280,1),(283,1)}
       143:{3,4,5}:{(109,1),(110,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,4,5,7}:{(111,1),(113,1),(115,1),(178,1),(179,1),(287,1)}
       146:{1,3,5,6}:{(112,1),(113,1),(117,1),(178,1),(180,1),(181,1),(296,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(246,1)}
       148:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(124,1),(178,1),(182,1),(183,1),(244,1),(248,1),(256,1),(287,1)}
       149:{2,4,6,7}:{(115,1),(116,1),(179,1),(183,1)}
       150:{2,3,5,6,7}:{(116,1),(121,1),(125,1),(183,1),(184,1),(190,1),(199,1),(243,1),(250,1),(257,1),(262,1),(294,1)}
       151:{2,4,6}:{(117,1),(118,1),(180,1),(186,1)}
       152:{1,2,4,5,7}:{(118,1),(130,1),(185,1),(187,1),(195,1),(242,1),(255,1),(265,1),(287,1),(291,1),(295,1),(297,1),(308,1)}
       153:{2,3,5,7}:{(118,1),(131,1),(186,1),(187,1),(188,1),(196,1),(254,1)}
       154:{2,6,7}:{(119,1),(132,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(133,1),(183,1),(190,1),(262,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(134,1),(184,1),(192,1),(208,1),(287,1),(309,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{2,4,7}:{(124,1),(127,1),(132,1),(196,1)}
       160:{2,4,7}:{(125,1),(128,1),(134,1),(197,1)}
       161:{2,5,7}:{(126,1),(129,1),(135,1),(199,1)}
       162:{1,2,4,6}:{(127,1),(130,1),(136,1),(195,1),(200,1),(209,1),(263,1)}
       163:{2,3,6}:{(127,1),(131,1),(196,1),(200,1)}
       164:{3,4,6}:{(128,1),(197,1),(202,1),(262,1)}
       165:{2,4,5}:{(128,1),(129,1),(139,1),(202,1)}
       166:{1,3,5}:{(130,1),(131,1),(200,1),(203,1),(204,1)}
       167:{2,3,4}:{(131,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(136,1),(189,1),(195,1),(205,1),(297,1)}
       169:{2,3,5,7}:{(132,1),(133,1),(137,1),(190,1),(196,1),(205,1),(206,1),(257,1),(259,1),(297,1)}
       170:{1,3,4,7}:{(133,1),(134,1),(138,1),(140,1),(197,1),(206,1),(244,1),(287,1),(307,1)}
       171:{1,4,5,7}:{(134,1),(135,1),(139,1),(141,1),(198,1),(208,1)}
       172:{1,3,5,6}:{(135,1),(142,1),(199,1),(208,1),(262,1),(296,1),(298,1)}
       173:{1,3,5,6}:{(136,1),(137,1),(200,1),(205,1),(209,1),(264,1),(296,1),(298,1)}
       174:{2,4,6}:{(137,1),(138,1),(206,1),(209,1),(210,1)}
       175:{1,3,4,5}:{(138,1),(139,1),(143,1),(202,1),(210,1),(247,1),(264,1),(291,1),(310,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(143,1),(193,1),(211,1)}
       177:{2,4,6}:{(141,1),(142,1),(208,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(148,1),(212,1),(213,1),(279,1)}
       179:{2,4,5,7}:{(145,1),(147,1),(149,1),(212,1),(213,1),(268,1)}
       180:{2,5,6}:{(146,1),(151,1),(212,1)}
       181:{3,5,6}:{(147,1),(213,1),(216,1)}
       182:{2,4,6,7}:{(148,1),(151,1),(154,1),(159,1),(212,1),(218,1),(268,1)}
       183:{3,6,7}:{(149,1),(213,1)}
       184:{2,4,6,7}:{(150,1),(156,1),(160,1),(219,1),(220,1),(233,1),(268,1),(301,1)}
       185:{1,2,4,6}:{(151,1),(152,1),(214,1),(221,1),(271,1),(277,1),(285,1),(306,1),(313,1)}
       186:{2,3,6}:{(151,1),(153,1),(221,1)}
       187:{1,3,5,7}:{(152,1),(153,1),(166,1),(221,1),(223,1),(224,1),(230,1),(278,1),(312,1)}
       188:{2,3,4,7}:{(153,1),(167,1),(222,1),(224,1),(268,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(169,1),(225,1),(226,1),(283,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(170,1),(219,1),(226,1),(227,1),(240,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(220,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{1,2,4,7}:{(159,1),(162,1),(168,1),(230,1),(238,1),(281,1)}
       196:{2,3,7}:{(159,1),(163,1),(230,1)}
       197:{3,4,7}:{(160,1),(164,1),(232,1)}
       198:{2,4,5,7}:{(160,1),(161,1),(165,1),(171,1),(232,1),(233,1)}
       199:{2,5,6}:{(161,1),(172,1),(233,1),(306,1)}
       200:{1,3,6}:{(162,1),(163,1),(166,1),(230,1),(234,1)}
       201:{2,3,4,6}:{(163,1),(164,1),(167,1),(174,1),(231,1),(235,1),(236,1),(283,1),(302,1)}
       202:{3,5}:{(164,1),(165,1)}
       203:{2,3,5}:{(166,1),(234,1),(237,1),(284,1)}
       204:{1,3,4}:{(166,1),(167,1),(237,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(173,1),(225,1),(230,1),(238,1),(279,1)}
       206:{2,4,7}:{(169,1),(170,1),(174,1),(238,1)}
       207:{1,3,4,5,7}:{(170,1),(171,1),(175,1),(176,1),(227,1),(232,1),(239,1),(240,1),(269,1),(282,1),(300,1),(312,1)}
       208:{1,4,6}:{(171,1),(172,1),(177,1),(233,1)}
       209:{1,4,6}:{(173,1),(174,1),(238,1),(241,1)}
       210:{2,4,5}:{(174,1),(175,1),(236,1),(241,1),(284,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{2,5,7}:{(178,1),(180,1),(182,1)}
       213:{3,5,7}:{(179,1),(181,1),(183,1),(244,1)}
       214:{1,2,5,6}:{(180,1),(185,1),(242,1),(245,1),(295,1),(296,1),(311,1)}
       215:{2,3,5,6}:{(180,1),(181,1),(186,1),(243,1),(245,1),(246,1),(254,1)}
       216:{3,4,6}:{(181,1),(244,1),(246,1),(247,1)}
       217:{1,2,4,6,7}:{(182,1),(185,1),(189,1),(195,1),(242,1),(248,1),(256,1),(287,1),(292,1)}
       218:{2,3,6,7}:{(182,1),(183,1),(186,1),(196,1),(243,1),(248,1)}
       219:{3,4,6,7}:{(183,1),(184,1),(197,1),(244,1),(250,1),(262,1),(289,1)}
       220:{2,4,5,7}:{(184,1),(192,1),(250,1),(251,1),(257,1)}
       221:{1,3,6}:{(185,1),(186,1),(187,1),(252,1),(314,1)}
       222:{2,3,4,6}:{(186,1),(188,1),(246,1),(253,1),(254,1)}
       223:{2,3,5,7}:{(187,1),(203,1),(252,1),(255,1),(259,1),(295,1),(297,1)}
       224:{1,3,4,7}:{(187,1),(188,1),(204,1),(253,1),(255,1),(287,1),(307,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(206,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(250,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(208,1),(251,1),(258,1),(296,1),(309,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{1,3,7}:{(195,1),(196,1),(200,1),(259,1)}
       231:{2,3,4,7}:{(196,1),(197,1),(201,1),(206,1),(260,1),(261,1),(307,1)}
       232:{3,5,7}:{(197,1),(198,1),(202,1),(262,1)}
       233:{2,4,6}:{(198,1),(199,1),(208,1),(262,1)}
       234:{2,3,6}:{(200,1),(203,1),(259,1),(263,1)}
       235:{1,3,4,6}:{(200,1),(201,1),(204,1),(209,1),(260,1),(263,1),(264,1),(298,1)}
       236:{2,3,5}:{(201,1),(202,1),(210,1),(264,1),(310,1)}
       237:{2,4}:{(203,1),(204,1)}
       238:{1,4,7}:{(205,1),(206,1),(209,1)}
       239:{2,4,5,7}:{(206,1),(207,1),(210,1),(257,1),(261,1),(265,1),(266,1),(297,1)}
       240:{1,3,4,6}:{(207,1),(208,1),(211,1),(258,1),(262,1),(266,1),(289,1),(298,1),(309,1),(314,1)}
       241:{1,4,5}:{(209,1),(210,1),(264,1)}
       242:{1,2,5,7}:{(212,1),(214,1),(217,1),(267,1),(279,1),(304,1)}
       243:{2,3,5,7}:{(212,1),(213,1),(215,1),(218,1),(267,1),(268,1)}
       244:{3,4,7}:{(213,1),(216,1),(268,1)}
       245:{1,3,5,6}:{(214,1),(215,1),(221,1),(267,1),(270,1),(271,1),(278,1)}
       246:{2,4,6}:{(215,1),(216,1),(268,1),(271,1),(272,1)}
       247:{3,4,5}:{(216,1),(272,1)}
       248:{1,3,6,7}:{(217,1),(218,1),(221,1),(230,1),(267,1),(273,1)}
       249:{2,3,4,6,7}:{(218,1),(219,1),(222,1),(226,1),(231,1),(268,1),(274,1),(275,1),(283,1),(301,1)}
       250:{3,5,7}:{(219,1),(220,1),(276,1)}
       251:{2,4,5,6}:{(220,1),(228,1),(233,1),(276,1),(280,1),(301,1)}
       252:{2,3,6}:{(221,1),(223,1),(277,1),(306,1)}
       253:{1,3,4,6}:{(221,1),(222,1),(224,1),(271,1),(277,1),(278,1),(302,1)}
       254:{2,3,5}:{(222,1),(272,1),(278,1)}
       255:{2,4,7}:{(223,1),(224,1),(237,1),(277,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(240,1),(276,1),(280,1)}
       259:{2,3,7}:{(230,1),(234,1),(281,1)}
       260:{1,3,4,7}:{(230,1),(231,1),(235,1),(238,1),(281,1),(282,1)}
       261:{2,3,5,7}:{(231,1),(232,1),(236,1),(239,1),(282,1),(283,1),(312,1)}
       262:{3,6}:{(232,1),(233,1)}
       263:{2,4,6}:{(234,1),(235,1),(237,1),(281,1),(284,1),(306,1)}
       264:{1,3,5}:{(235,1),(236,1),(241,1),(284,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(241,1),(279,1),(282,1),(285,1)}
       266:{2,4,6}:{(239,1),(240,1),(280,1),(283,1),(285,1),(306,1)}
       267:{1,3,5,7}:{(242,1),(243,1),(245,1),(248,1),(286,1),(287,1)}
       268:{2,4,7}:{(243,1),(244,1),(246,1),(287,1)}
       269:{3,4,5,7}:{(244,1),(247,1),(250,1),(288,1),(289,1)}
       270:{2,3,5,6}:{(245,1),(252,1),(286,1),(290,1),(295,1),(310,1),(311,1),(314,1)}
       271:{1,4,6}:{(245,1),(246,1),(287,1),(290,1),(291,1)}
       272:{2,4,5}:{(246,1),(247,1),(254,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(252,1),(259,1),(286,1),(292,1),(314,1)}
       274:{1,3,4,6,7}:{(248,1),(249,1),(253,1),(256,1),(260,1),(287,1),(292,1),(293,1),(298,1),(307,1),(309,1),(314,1)}
       275:{2,3,5,7}:{(249,1),(250,1),(254,1),(257,1),(288,1),(293,1),(294,1)}
       276:{3,5,6}:{(250,1),(251,1),(262,1),(289,1)}
       277:{2,4,6}:{(252,1),(253,1),(255,1),(295,1)}
       278:{1,3,5}:{(253,1),(254,1),(291,1),(295,1),(310,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(263,1),(297,1)}
       282:{1,3,5,7}:{(260,1),(261,1),(264,1),(265,1),(297,1),(298,1)}
       283:{2,3,6}:{(261,1),(262,1),(266,1),(298,1),(314,1)}
       284:{2,5}:{(263,1),(264,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(270,1),(273,1),(299,1),(304,1),(312,1)}
       287:{1,4,7}:{(267,1),(268,1),(271,1),(299,1)}
       288:{2,4,5,7}:{(268,1),(269,1),(272,1),(275,1),(300,1),(301,1)}
       289:{3,4,6}:{(269,1),(276,1),(301,1)}
       290:{2,4,6}:{(270,1),(271,1),(299,1),(302,1),(303,1)}
       291:{1,4,5}:{(271,1),(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(277,1),(281,1),(299,1),(304,1),(306,1),(313,1)}
       293:{1,3,5,7}:{(274,1),(275,1),(278,1),(279,1),(300,1),(304,1),(305,1),(312,1)}
       294:{2,3,5,6}:{(275,1),(276,1),(280,1),(283,1),(301,1),(305,1)}
       295:{2,5}:{(277,1),(278,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(284,1),(306,1)}
       298:{1,3,6}:{(282,1),(283,1),(285,1),(306,1)}
       299:{2,4,7}:{(286,1),(287,1),(290,1),(307,1)}
       300:{1,4,5,7}:{(287,1),(288,1),(291,1),(293,1),(308,1),(309,1)}
       301:{2,4,6}:{(288,1),(289,1),(294,1),(309,1)}
       302:{3,4,6}:{(290,1),(307,1),(310,1),(314,1)}
       303:{2,4,5}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(295,1),(311,1)}
       305:{1,3,5,6}:{(293,1),(294,1),(296,1),(298,1),(309,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(302,1),(312,1)}
       308:{2,4,5,7}:{(299,1),(300,1),(303,1),(304,1),(312,1),(313,1)}
       309:{1,4,6}:{(300,1),(301,1),(305,1),(313,1)}
       310:{3,5}:{(302,1),(303,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(310,1),(314,1)}
       313:{2,4,6}:{(308,1),(309,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2551 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(51,1),(118,1),(132,1),(181,1),(185,1),(203,1),(218,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(29,1),(32,1),(234,1),(235,1),(261,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(39,1),(87,1),(96,1),(163,1),(173,1),(175,1),(231,1),(263,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(10,1),(82,1),(159,1),(225,1),(230,1)}
         4:{1,2,4,7}:{(1,1),(12,1),(14,1),(304,1)}
         5:{1,2,3,6}:{(1,1),(14,1),(54,1),(279,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(130,1),(307,1)}
         7:{2,4,5,7}:{(2,1),(16,1),(18,1),(63,1),(64,1),(130,1),(220,1),(305,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(20,1),(54,1),(122,1),(131,1),(276,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(21,1),(48,1),(116,1),(195,1),(203,1),(218,1),(269,1),(275,1)}
        10:{2,3,5,6}:{(3,1),(20,1),(21,1),(22,1),(268,1),(274,1)}
        11:{1,2,3,6,7}:{(5,1),(23,1),(24,1),(85,1),(143,1),(232,1),(235,1),(321,1),(322,1),(385,1)}
        12:{1,3,4,7}:{(4,1),(6,1),(28,1),(29,1),(30,1),(163,1),(342,1)}
        13:{1,2,4,5,7}:{(4,1),(7,1),(29,1),(31,1),(32,1),(81,1),(87,1),(88,1),(163,1),(231,1),(234,1),(258,1),(340,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(30,1),(32,1)}
        15:{1,2,3,5,6}:{(5,1),(24,1),(32,1),(33,1),(71,1),(86,1),(90,1),(143,1),(167,1),(260,1),(261,1),(322,1),(341,1),(384,1),(387,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(29,1),(35,1),(36,1),(265,1),(343,1)}
        17:{2,3,4,6}:{(6,1),(30,1),(35,1),(36,1),(95,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(38,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(37,1),(39,1),(77,1),(85,1),(150,1),(163,1),(173,1),(242,1),(263,1),(318,1)}
        20:{1,3,5,6}:{(8,1),(10,1),(38,1),(39,1),(40,1),(98,1),(317,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(39,1),(41,1),(310,1),(316,1)}
        22:{2,4,5,6}:{(10,1),(40,1),(41,1),(42,1),(159,1)}
        23:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(105,1),(189,1),(275,1),(279,1),(358,1)}
        24:{1,2,3,5,7}:{(11,1),(15,1),(44,1),(45,1),(106,1),(121,1),(212,1),(303,1),(372,1),(404,1)}
        25:{2,3,4,6,7}:{(17,1),(43,1),(46,1),(61,1),(107,1),(109,1),(130,1),(187,1),(192,1),(275,1),(402,1),(403,1),(422,1)}
        26:{2,3,5,6,7}:{(21,1),(47,1),(48,1),(50,1),(114,1),(195,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(267,1),(290,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(203,1),(370,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(16,1),(51,1),(54,1),(55,1),(302,1),(372,1)}
        30:{1,3,4,6}:{(12,1),(14,1),(17,1),(52,1),(54,1),(55,1),(122,1)}
        31:{1,2,4,6}:{(13,1),(18,1),(54,1),(57,1),(115,1),(122,1),(276,1),(279,1)}
        32:{1,2,5}:{(14,1),(55,1)}
        33:{1,2,4,6}:{(15,1),(45,1),(58,1),(59,1),(122,1),(210,1),(304,1),(405,1)}
        34:{2,3,4,5,7}:{(16,1),(53,1),(60,1),(63,1),(110,1),(128,1),(130,1),(185,1),(205,1),(294,1)}
        35:{2,3,6}:{(16,1),(18,1),(54,1)}
        36:{2,3,5}:{(17,1),(55,1),(63,1)}
        37:{2,4,6,7}:{(18,1),(19,1),(61,1),(64,1),(130,1),(287,1),(305,1)}
        38:{2,5,6}:{(18,1),(20,1),(64,1)}
        39:{1,3,5,7}:{(19,1),(20,1),(21,1),(64,1),(66,1),(133,1),(353,1)}
        40:{1,4,5,6}:{(20,1),(22,1),(65,1),(66,1),(122,1)}
        41:{2,4,5,7}:{(21,1),(22,1),(48,1),(66,1),(68,1),(203,1)}
        42:{3,4,5,6}:{(22,1),(68,1),(204,1),(268,1)}
        43:{1,3,4,6,7}:{(23,1),(25,1),(30,1),(69,1),(70,1),(73,1),(85,1),(140,1),(143,1),(145,1),(163,1),(233,1),(318,1),(385,1),(386,1),(417,1)}
        44:{1,2,5,7}:{(23,1),(32,1),(70,1),(71,1),(316,1),(387,1)}
        45:{1,2,4,7}:{(24,1),(33,1),(73,1),(163,1),(256,1),(417,1)}
        46:{2,3,5,7}:{(25,1),(36,1),(70,1),(74,1),(75,1),(237,1),(316,1),(416,1)}
        47:{1,3,5,6,7}:{(26,1),(39,1),(76,1),(77,1),(150,1),(155,1),(242,1)}
        48:{2,4,6,7}:{(26,1),(41,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(155,1),(227,1),(245,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(310,1),(331,1)}
        51:{2,3,5,7}:{(28,1),(29,1),(81,1),(82,1),(83,1),(337,1),(395,1)}
        52:{2,3,4,6}:{(28,1),(30,1),(82,1),(83,1),(159,1)}
        53:{1,3,4,5,7}:{(29,1),(34,1),(81,1),(84,1),(87,1),(160,1),(161,1),(163,1),(231,1),(250,1),(252,1),(335,1)}
        54:{1,3,6}:{(29,1),(31,1),(35,1),(82,1)}
        55:{1,3,5}:{(30,1),(32,1),(36,1),(83,1),(87,1)}
        56:{1,2,4,6,7}:{(31,1),(37,1),(85,1),(88,1),(156,1),(163,1),(318,1),(321,1),(340,1)}
        57:{1,2,5,6}:{(31,1),(32,1),(38,1),(86,1),(88,1),(157,1),(317,1)}
        58:{1,2,4,5}:{(32,1),(33,1),(87,1),(90,1),(165,1),(387,1),(418,1)}
        59:{1,3,4,6}:{(33,1),(73,1),(90,1),(91,1),(143,1),(341,1),(342,1)}
        60:{2,3,4,6}:{(34,1),(35,1),(84,1),(93,1),(95,1),(148,1),(230,1)}
        61:{2,3,6,7}:{(35,1),(37,1),(85,1),(94,1),(150,1),(343,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(38,1),(86,1),(94,1),(95,1),(98,1)}
        63:{2,4,5}:{(36,1),(87,1),(95,1),(96,1)}
        64:{2,5,7}:{(37,1),(38,1),(39,1)}
        65:{2,4,5,6}:{(38,1),(40,1),(95,1),(97,1),(98,1)}
        66:{1,4,5,7}:{(39,1),(40,1),(41,1),(77,1),(97,1),(163,1)}
        67:{1,3,4,5,6}:{(40,1),(42,1),(98,1),(99,1),(100,1),(152,1),(164,1),(177,1),(228,1),(244,1),(330,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(250,1),(310,1)}
        69:{2,3,4,6,7}:{(43,1),(52,1),(101,1),(107,1),(116,1),(180,1),(187,1),(203,1),(269,1),(275,1),(361,1),(362,1),(407,1)}
        70:{1,3,5,7}:{(43,1),(44,1),(46,1),(55,1),(101,1),(102,1),(103,1),(353,1),(406,1)}
        71:{1,2,5,6}:{(44,1),(102,1),(105,1),(274,1),(279,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(58,1),(103,1),(105,1),(106,1),(185,1)}
        73:{1,3,4,7}:{(45,1),(59,1),(106,1),(107,1),(372,1)}
        74:{2,3,5,6}:{(46,1),(102,1),(109,1),(187,1),(191,1),(274,1)}
        75:{2,4,5,7}:{(46,1),(63,1),(103,1),(109,1),(110,1),(130,1),(422,1),(423,1)}
        76:{2,5,6,7}:{(47,1),(64,1),(111,1),(287,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(66,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(190,1),(199,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(273,1)}
        81:{2,4,5,7}:{(51,1),(53,1),(115,1),(118,1),(201,1),(203,1),(296,1),(368,1)}
        82:{2,3,6}:{(51,1),(54,1),(115,1)}
        83:{2,3,5}:{(52,1),(55,1),(118,1)}
        84:{1,3,4,6}:{(53,1),(54,1),(60,1),(115,1),(120,1),(122,1),(204,1),(276,1)}
        85:{1,3,6,7}:{(54,1),(56,1),(61,1),(116,1),(121,1),(372,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(57,1),(62,1),(117,1),(121,1),(122,1)}
        87:{1,4,5}:{(55,1),(63,1),(118,1),(122,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(64,1),(121,1),(201,1),(353,1)}
        89:{1,2,4,5,6}:{(57,1),(58,1),(65,1),(105,1),(122,1),(124,1),(125,1),(136,1),(182,1),(202,1),(210,1),(222,1),(274,1),(289,1),(299,1),(301,1),(354,1),(367,1),(398,1),(405,1)}
        90:{1,3,5}:{(58,1),(59,1),(126,1)}
        91:{2,3,4,6}:{(59,1),(107,1),(126,1),(127,1),(187,1),(210,1),(306,1),(307,1),(369,1),(370,1)}
        92:{2,3,4,6,7}:{(60,1),(61,1),(119,1),(128,1),(130,1),(192,1),(216,1),(275,1),(294,1),(365,1)}
        93:{2,3,5,6}:{(60,1),(120,1),(128,1),(129,1),(191,1),(274,1)}
        94:{2,3,5,7}:{(61,1),(62,1),(64,1),(121,1),(130,1),(133,1)}
        95:{2,4,6}:{(62,1),(63,1),(122,1),(130,1),(131,1)}
        96:{3,4,5}:{(63,1),(131,1)}
        97:{2,4,5,7}:{(64,1),(65,1),(66,1),(111,1),(130,1),(133,1)}
        98:{3,5,6}:{(65,1),(131,1),(133,1)}
        99:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(133,1),(135,1),(197,1),(209,1),(221,1),(273,1),(288,1),(363,1)}
       100:{2,4,5,6}:{(67,1),(134,1),(135,1),(136,1),(210,1),(222,1),(274,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(83,1),(137,1),(138,1),(310,1),(316,1),(390,1)}
       102:{1,3,5,6}:{(70,1),(71,1),(74,1),(137,1),(140,1),(143,1),(233,1),(317,1)}
       103:{1,4,5,7}:{(70,1),(75,1),(87,1),(138,1),(140,1),(163,1),(417,1),(418,1)}
       104:{1,2,5,6,7}:{(71,1),(76,1),(88,1),(139,1),(142,1),(155,1),(246,1),(247,1),(316,1),(321,1),(382,1),(383,1),(413,1)}
       105:{1,2,4,6}:{(71,1),(72,1),(140,1),(143,1),(230,1)}
       106:{1,3,5,7}:{(72,1),(73,1),(90,1),(143,1),(144,1)}
       107:{2,3,4,7}:{(73,1),(91,1),(144,1),(145,1),(256,1),(343,1),(395,1)}
       108:{2,3,5,6,7}:{(74,1),(76,1),(94,1),(139,1),(147,1),(150,1),(232,1),(237,1),(316,1),(413,1),(414,1),(424,1)}
       109:{2,4,6}:{(74,1),(75,1),(140,1),(148,1)}
       110:{3,4,5,7}:{(75,1),(96,1),(148,1),(173,1),(237,1),(425,1),(426,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(97,1),(150,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(99,1),(150,1),(151,1),(153,1),(242,1),(245,1),(331,1)}
       113:{3,5,6,7}:{(79,1),(150,1),(153,1),(237,1)}
       114:{2,5,6,7}:{(80,1),(151,1),(155,1),(316,1)}
       115:{2,4,6}:{(81,1),(82,1),(84,1),(157,1)}
       116:{2,3,6,7}:{(82,1),(85,1),(156,1),(158,1),(332,1),(395,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(157,1),(158,1),(159,1),(249,1)}
       118:{2,4,5}:{(83,1),(87,1),(159,1),(160,1)}
       119:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(156,1),(161,1),(163,1),(250,1),(253,1),(318,1),(332,1),(335,1),(393,1)}
       120:{1,3,5,6}:{(84,1),(93,1),(157,1),(161,1),(162,1),(249,1),(317,1)}
       121:{1,3,5,7}:{(85,1),(86,1),(88,1),(94,1),(158,1),(163,1)}
       122:{1,4,6}:{(86,1),(87,1),(95,1),(159,1),(163,1)}
       123:{1,3,4,5}:{(87,1),(90,1),(96,1),(160,1),(164,1),(165,1),(392,1),(418,1),(426,1)}
       124:{1,2,4,5,7}:{(88,1),(89,1),(97,1),(142,1),(163,1),(166,1),(178,1),(227,1),(248,1),(256,1),(266,1),(316,1),(329,1),(339,1),(340,1),(383,1),(394,1),(411,1),(417,1)}
       125:{1,3,5,6}:{(89,1),(90,1),(98,1),(143,1),(164,1),(166,1),(167,1),(249,1),(330,1),(341,1),(412,1)}
       126:{2,3,5}:{(90,1),(91,1),(165,1),(168,1)}
       127:{1,3,4,6}:{(91,1),(145,1),(168,1),(169,1),(233,1),(257,1),(341,1),(342,1)}
       128:{2,3,5,7}:{(92,1),(93,1),(161,1),(171,1),(237,1),(316,1)}
       129:{2,4,5,6}:{(93,1),(95,1),(162,1),(171,1),(172,1)}
       130:{2,4,7}:{(94,1),(95,1),(163,1),(173,1)}
       131:{3,4,6}:{(95,1),(96,1),(98,1),(173,1)}
       132:{2,3,4,5}:{(96,1),(165,1),(174,1),(175,1),(337,1),(392,1)}
       133:{3,5,7}:{(97,1),(98,1),(150,1),(173,1)}
       134:{2,3,5,6}:{(98,1),(100,1),(174,1),(176,1),(177,1),(330,1)}
       135:{2,4,5,7}:{(99,1),(100,1),(151,1),(176,1),(178,1),(256,1),(266,1),(316,1)}
       136:{1,4,5,6}:{(100,1),(177,1),(178,1),(257,1),(317,1)}
       137:{2,3,5,6}:{(101,1),(102,1),(180,1),(187,1),(268,1),(274,1)}
       138:{2,4,5,7}:{(101,1),(103,1),(118,1),(180,1),(181,1),(203,1),(407,1),(408,1)}
       139:{1,3,5,6,7}:{(102,1),(104,1),(108,1),(121,1),(179,1),(183,1),(186,1),(273,1),(278,1),(353,1),(404,1)}
       140:{1,4,6}:{(102,1),(103,1),(109,1),(180,1)}
       141:{1,3,4,5,7}:{(103,1),(106,1),(110,1),(123,1),(181,1),(184,1),(185,1),(209,1),(273,1)}
       142:{1,2,4,6,7}:{(104,1),(105,1),(111,1),(124,1),(183,1),(186,1),(196,1),(275,1),(287,1),(290,1),(291,1),(371,1),(409,1),(419,1)}
       143:{1,3,6}:{(105,1),(106,1),(187,1)}
       144:{2,3,5,7}:{(106,1),(107,1),(126,1),(185,1),(187,1),(188,1)}
       145:{1,3,4,7}:{(107,1),(127,1),(188,1),(189,1),(300,1),(372,1)}
       146:{2,4,5,6}:{(109,1),(182,1),(190,1),(191,1),(274,1)}
       147:{2,4,6,7}:{(108,1),(109,1),(130,1),(183,1),(190,1),(192,1),(422,1)}
       148:{3,4,6}:{(109,1),(110,1),(191,1)}
       149:{2,3,4,5,7}:{(110,1),(132,1),(185,1),(193,1),(194,1),(218,1),(282,1),(351,1),(422,1),(423,1)}
       150:{3,6,7}:{(111,1),(133,1)}
       151:{2,4,6,7}:{(112,1),(114,1),(135,1),(195,1),(196,1),(287,1)}
       152:{3,4,5,6}:{(191,1),(197,1),(198,1),(421,1)}
       153:{3,4,6,7}:{(113,1),(197,1),(199,1)}
       154:{2,3,5,6,7}:{(113,1),(114,1),(195,1),(199,1),(200,1),(282,1)}
       155:{1,5,6,7}:{(114,1),(196,1),(353,1)}
       156:{2,4,6,7}:{(115,1),(116,1),(119,1),(201,1),(203,1),(368,1),(409,1)}
       157:{2,5,6}:{(115,1),(120,1),(201,1)}
       158:{2,3,5,7}:{(116,1),(117,1),(121,1),(201,1),(203,1),(292,1)}
       159:{2,4,6}:{(117,1),(118,1),(122,1),(203,1),(204,1)}
       160:{3,4,5}:{(118,1),(204,1)}
       161:{1,3,5,7}:{(119,1),(120,1),(128,1),(201,1),(207,1),(292,1),(353,1)}
       162:{1,4,5,6}:{(120,1),(122,1),(129,1),(202,1),(207,1)}
       163:{1,4,7}:{(121,1),(122,1),(130,1),(203,1)}
       164:{1,3,4,6}:{(122,1),(123,1),(125,1),(131,1),(204,1),(209,1),(210,1),(364,1),(405,1),(421,1)}
       165:{2,4,5}:{(123,1),(126,1),(210,1),(211,1)}
       166:{1,3,5,7}:{(124,1),(125,1),(133,1),(186,1),(209,1),(212,1),(292,1),(363,1),(372,1),(420,1)}
       167:{2,3,5,6}:{(125,1),(126,1),(187,1),(210,1),(212,1),(213,1),(222,1),(274,1),(306,1),(367,1),(369,1)}
       168:{1,3,5}:{(126,1),(127,1),(211,1),(214,1)}
       169:{1,2,4,6}:{(127,1),(189,1),(214,1),(215,1),(279,1),(304,1)}
       170:{2,3,5,6,7}:{(128,1),(206,1),(216,1),(281,1),(352,1),(365,1)}
       171:{2,4,5,7}:{(128,1),(129,1),(130,1),(207,1),(216,1),(217,1)}
       172:{3,4,5,6}:{(129,1),(131,1),(191,1),(217,1)}
       173:{3,4,7}:{(130,1),(131,1),(133,1)}
       174:{2,3,4,6}:{(131,1),(132,1),(134,1),(210,1),(218,1),(219,1),(364,1),(369,1)}
       175:{1,3,4,5}:{(132,1),(211,1),(219,1),(220,1),(302,1)}
       176:{2,3,5,7}:{(133,1),(134,1),(135,1),(195,1),(218,1),(221,1),(363,1)}
       177:{1,3,5,6}:{(134,1),(136,1),(219,1),(221,1),(222,1)}
       178:{1,4,5,7}:{(135,1),(136,1),(196,1),(221,1),(300,1),(353,1)}
       179:{2,3,5,6,7}:{(137,1),(139,1),(158,1),(224,1),(232,1),(246,1),(247,1),(310,1),(316,1),(331,1),(332,1),(388,1)}
       180:{2,4,6}:{(137,1),(138,1),(140,1),(225,1)}
       181:{3,4,5,7}:{(138,1),(160,1),(225,1),(250,1),(310,1),(391,1),(392,1)}
       182:{1,4,5,6}:{(140,1),(146,1),(223,1),(227,1),(228,1),(317,1)}
       183:{1,4,6,7}:{(139,1),(140,1),(147,1),(163,1),(224,1),(227,1),(417,1)}
       184:{1,3,4,6}:{(140,1),(141,1),(143,1),(148,1),(225,1),(228,1),(230,1)}
       185:{2,4,5,7}:{(141,1),(144,1),(165,1),(230,1),(231,1),(256,1),(316,1)}
       186:{1,3,6,7}:{(142,1),(143,1),(150,1),(166,1),(232,1),(331,1),(332,1),(424,1)}
       187:{2,3,6}:{(143,1),(144,1),(230,1),(233,1)}
       188:{1,3,5,7}:{(144,1),(145,1),(168,1),(231,1),(233,1),(234,1)}
       189:{1,2,4,7}:{(145,1),(169,1),(234,1),(235,1)}
       190:{2,4,5,7}:{(146,1),(147,1),(227,1),(237,1),(316,1)}
       191:{3,5,6}:{(146,1),(148,1),(237,1)}
       192:{3,4,6,7}:{(147,1),(148,1),(150,1),(173,1),(237,1),(424,1),(425,1)}
       193:{2,3,4,6}:{(148,1),(149,1),(230,1),(238,1),(240,1),(380,1),(415,1)}
       194:{1,3,4,5,7}:{(149,1),(175,1),(231,1),(240,1),(241,1),(263,1),(320,1),(324,1),(391,1),(392,1),(417,1),(418,1)}
       195:{2,3,6,7}:{(150,1),(151,1),(176,1),(242,1),(331,1)}
       196:{1,4,6,7}:{(151,1),(155,1),(178,1),(242,1)}
       197:{3,4,5,7}:{(152,1),(153,1),(237,1),(243,1),(425,1)}
       198:{2,4,5,6}:{(152,1),(238,1),(243,1),(244,1),(415,1)}
       199:{2,4,6,7}:{(153,1),(154,1),(243,1),(245,1)}
       200:{1,3,5,6,7}:{(154,1),(155,1),(242,1),(245,1),(246,1),(324,1),(331,1)}
       201:{2,5,7}:{(156,1),(157,1),(161,1)}
       202:{2,4,5,6}:{(157,1),(159,1),(162,1),(248,1),(249,1)}
       203:{2,4,7}:{(158,1),(159,1),(163,1),(250,1)}
       204:{3,4,6}:{(159,1),(160,1),(249,1),(250,1)}
       205:{2,3,4,5}:{(160,1),(165,1),(251,1),(252,1),(265,1),(426,1)}
       206:{1,3,5,6,7}:{(161,1),(170,1),(247,1),(253,1),(332,1),(382,1),(393,1)}
       207:{1,4,5,7}:{(161,1),(162,1),(163,1),(171,1),(248,1),(253,1)}
       208:{1,3,4,5,6}:{(162,1),(164,1),(172,1),(228,1),(249,1),(254,1),(255,1),(308,1),(334,1),(375,1),(412,1)}
       209:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1),(250,1),(256,1),(391,1),(417,1),(425,1)}
       210:{2,4,6}:{(164,1),(165,1),(167,1),(256,1),(257,1)}
       211:{1,4,5}:{(165,1),(168,1),(257,1)}
       212:{2,3,5,7}:{(166,1),(167,1),(232,1),(256,1),(259,1),(266,1),(316,1),(343,1),(394,1),(395,1)}
       213:{1,3,5,6}:{(167,1),(168,1),(233,1),(257,1),(259,1),(260,1),(317,1),(341,1)}
       214:{1,2,5}:{(168,1),(169,1)}
       215:{1,2,3,6}:{(169,1),(235,1),(261,1),(341,1)}
       216:{2,4,6,7}:{(170,1),(171,1),(253,1),(262,1)}
       217:{3,4,5,7}:{(171,1),(172,1),(173,1),(237,1),(262,1)}
       218:{2,3,4,7}:{(173,1),(174,1),(176,1),(256,1),(263,1),(391,1),(395,1)}
       219:{1,3,4,6}:{(174,1),(175,1),(177,1),(257,1),(263,1),(264,1),(341,1)}
       220:{2,4,5}:{(175,1),(264,1),(265,1)}
       221:{1,3,5,7}:{(176,1),(177,1),(178,1),(242,1),(263,1),(266,1)}
       222:{2,5,6}:{(177,1),(264,1),(266,1)}
       223:{2,4,5,6}:{(180,1),(182,1),(267,1),(268,1),(274,1)}
       224:{2,4,6,7}:{(179,1),(180,1),(183,1),(203,1),(267,1),(269,1),(407,1)}
       225:{3,4,6}:{(180,1),(181,1),(268,1)}
       226:{2,3,4,5,7}:{(181,1),(185,1),(205,1),(270,1),(271,1),(286,1),(294,1),(347,1),(407,1),(408,1)}
       227:{1,4,5,7}:{(182,1),(183,1),(190,1),(267,1),(273,1),(353,1)}
       228:{1,3,5,6}:{(182,1),(184,1),(191,1),(268,1),(273,1),(274,1)}
       229:{1,3,4,6,7}:{(183,1),(184,1),(186,1),(192,1),(209,1),(269,1),(273,1),(275,1)}
       230:{2,4,6}:{(184,1),(185,1),(187,1),(274,1),(276,1)}
       231:{1,4,5,7}:{(185,1),(188,1),(211,1),(276,1),(300,1),(353,1)}
       232:{2,3,6,7}:{(186,1),(187,1),(212,1),(275,1),(278,1),(287,1),(409,1)}
       233:{1,3,6}:{(187,1),(188,1),(276,1),(279,1)}
       234:{1,2,5,7}:{(188,1),(189,1),(214,1),(279,1)}
       235:{1,2,3,7}:{(189,1),(215,1),(372,1)}
       236:{2,4,5,6,7}:{(190,1),(216,1),(272,1),(281,1),(352,1),(419,1)}
       237:{3,5,7}:{(190,1),(191,1),(192,1)}
       238:{2,3,5,6}:{(191,1),(193,1),(198,1),(274,1),(282,1),(283,1)}
       239:{2,3,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(218,1),(275,1),(282,1),(284,1),(402,1),(422,1)}
       240:{1,3,4,6}:{(193,1),(194,1),(276,1),(283,1),(285,1),(356,1),(364,1),(405,1)}
       241:{2,4,5,7}:{(194,1),(220,1),(285,1),(286,1),(305,1),(359,1),(407,1),(408,1)}
       242:{1,3,6,7}:{(195,1),(196,1),(221,1),(287,1)}
       243:{2,4,5,7}:{(197,1),(198,1),(199,1),(282,1),(288,1),(422,1)}
       244:{1,4,5,6}:{(198,1),(283,1),(288,1),(289,1),(405,1)}
       245:{1,4,6,7}:{(199,1),(200,1),(288,1),(290,1)}
       246:{2,5,6,7}:{(200,1),(287,1),(290,1),(359,1)}
       247:{2,5,6,7}:{(201,1),(206,1),(291,1),(409,1)}
       248:{2,4,5,7}:{(201,1),(202,1),(203,1),(207,1),(291,1),(292,1)}
       249:{3,5,6}:{(202,1),(204,1),(292,1)}
       250:{3,4,7}:{(203,1),(204,1),(292,1)}
       251:{2,3,4,6}:{(204,1),(205,1),(210,1),(293,1),(294,1),(295,1),(306,1),(421,1)}
       252:{1,3,4,5}:{(205,1),(211,1),(295,1),(296,1),(302,1)}
       253:{1,4,6,7}:{(206,1),(207,1),(216,1),(291,1)}
       254:{1,3,4,5,7}:{(207,1),(208,1),(209,1),(217,1),(273,1),(292,1),(297,1),(298,1),(344,1),(366,1),(397,1),(420,1)}
       255:{2,4,5,6}:{(208,1),(210,1),(274,1),(293,1),(298,1),(299,1),(367,1)}
       256:{2,4,7}:{(209,1),(210,1),(212,1),(300,1)}
       257:{1,4,6}:{(210,1),(211,1),(213,1),(300,1)}
       258:{1,2,4,5}:{(211,1),(214,1),(220,1),(296,1),(301,1),(302,1),(304,1)}
       259:{1,3,5,7}:{(212,1),(213,1),(278,1),(300,1),(303,1),(353,1),(372,1)}
       260:{1,2,5,6}:{(213,1),(214,1),(222,1),(279,1),(301,1),(303,1),(367,1)}
       261:{1,2,3,5}:{(214,1),(215,1),(302,1),(304,1)}
       262:{3,4,6,7}:{(216,1),(217,1),(281,1)}
       263:{1,3,4,7}:{(218,1),(219,1),(221,1),(300,1),(305,1),(372,1)}
       264:{2,4,6}:{(219,1),(220,1),(222,1),(305,1),(306,1)}
       265:{2,3,5}:{(220,1),(302,1),(306,1),(307,1)}
       266:{2,5,7}:{(221,1),(222,1),(287,1),(305,1)}
       267:{2,4,5,7}:{(223,1),(224,1),(227,1),(310,1),(316,1)}
       268:{3,5,6}:{(223,1),(225,1),(310,1)}
       269:{3,4,6,7}:{(224,1),(225,1),(250,1),(310,1),(331,1),(332,1),(391,1)}
       270:{2,3,4,6}:{(225,1),(226,1),(230,1),(311,1),(313,1),(327,1),(389,1)}
       271:{1,3,4,5,7}:{(226,1),(231,1),(252,1),(313,1),(314,1),(320,1),(335,1),(377,1),(417,1),(418,1),(425,1),(426,1)}
       272:{1,4,5,6,7}:{(227,1),(236,1),(253,1),(309,1),(315,1),(382,1),(410,1)}
       273:{1,3,5,7}:{(227,1),(228,1),(229,1),(237,1),(310,1),(316,1)}
       274:{2,5,6}:{(228,1),(230,1),(316,1),(317,1)}
       275:{2,4,6,7}:{(229,1),(230,1),(232,1),(256,1),(316,1),(318,1)}
       276:{1,4,6}:{(230,1),(231,1),(233,1),(317,1)}
       277:{1,2,4,5,7}:{(231,1),(234,1),(241,1),(258,1),(314,1),(319,1),(320,1),(323,1),(340,1),(383,1),(387,1),(417,1),(418,1)}
       278:{1,3,6,7}:{(232,1),(233,1),(259,1),(318,1),(321,1)}
       279:{1,2,6}:{(233,1),(234,1)}
       280:{1,2,3,5,7}:{(234,1),(235,1),(261,1),(320,1),(322,1),(323,1),(387,1)}
       281:{3,5,6,7}:{(236,1),(237,1),(262,1),(424,1)}
       282:{2,3,5,7}:{(237,1),(238,1),(239,1),(243,1),(316,1),(324,1)}
       283:{1,3,5,6}:{(238,1),(240,1),(244,1),(317,1),(324,1),(325,1),(330,1)}
       284:{1,3,4,6,7}:{(239,1),(240,1),(242,1),(245,1),(263,1),(318,1),(324,1),(326,1),(331,1),(385,1),(391,1),(417,1)}
       285:{2,4,6}:{(240,1),(241,1),(325,1),(327,1)}
       286:{2,3,5,7}:{(241,1),(265,1),(320,1),(327,1),(328,1),(343,1),(390,1)}
       287:{2,6,7}:{(242,1),(266,1)}
       288:{1,4,5,7}:{(243,1),(244,1),(245,1),(324,1),(329,1),(417,1)}
       289:{2,4,5,6}:{(244,1),(325,1),(329,1),(330,1),(389,1)}
       290:{2,4,6,7}:{(245,1),(246,1),(329,1),(331,1)}
       291:{2,4,6,7}:{(247,1),(248,1),(253,1),(332,1)}
       292:{3,5,7}:{(248,1),(249,1),(250,1),(332,1)}
       293:{2,3,5,6}:{(249,1),(251,1),(255,1),(333,1),(334,1),(412,1)}
       294:{2,3,4,7}:{(250,1),(251,1),(256,1),(333,1),(335,1),(343,1),(425,1)}
       295:{1,3,4,6}:{(251,1),(252,1),(257,1),(334,1),(335,1),(336,1),(341,1)}
       296:{2,4,5}:{(252,1),(336,1),(337,1)}
       297:{1,3,4,6,7}:{(253,1),(254,1),(262,1),(315,1),(332,1),(338,1),(373,1),(393,1),(410,1),(424,1)}
       298:{2,4,5,7}:{(254,1),(255,1),(256,1),(316,1),(333,1),(338,1),(339,1),(394,1)}
       299:{1,4,5,6}:{(255,1),(257,1),(317,1),(334,1),(339,1)}
       300:{1,4,7}:{(256,1),(257,1),(259,1)}
       301:{1,2,4,6}:{(257,1),(258,1),(260,1),(264,1),(336,1),(340,1),(341,1)}
       302:{1,3,5}:{(258,1),(265,1),(337,1),(341,1),(342,1)}
       303:{1,2,5,7}:{(259,1),(260,1),(266,1),(321,1),(340,1),(394,1)}
       304:{1,2,4}:{(261,1),(342,1)}
       305:{2,4,7}:{(263,1),(264,1),(266,1),(343,1)}
       306:{2,3,6}:{(264,1),(265,1),(341,1),(343,1)}
       307:{2,3,4}:{(265,1),(342,1)}
       308:{3,4,5,6}:{(268,1),(344,1),(345,1),(364,1)}
       309:{2,4,5,6,7}:{(267,1),(272,1),(291,1),(346,1),(352,1),(396,1)}
       310:{3,5,7}:{(267,1),(268,1),(269,1)}
       311:{2,3,5,6}:{(268,1),(270,1),(274,1),(345,1),(347,1),(348,1)}
       312:{2,3,4,6,7}:{(269,1),(270,1),(275,1),(294,1),(347,1),(349,1),(361,1),(365,1),(396,1),(407,1)}
       313:{1,3,4,6}:{(270,1),(271,1),(276,1),(348,1),(350,1),(356,1),(405,1),(421,1)}
       314:{2,4,5,7}:{(271,1),(296,1),(350,1),(351,1),(368,1),(400,1),(422,1),(423,1)}
       315:{1,3,5,6,7}:{(272,1),(273,1),(281,1),(297,1),(346,1),(352,1)}
       316:{2,5,7}:{(273,1),(274,1),(275,1),(353,1)}
       317:{1,5,6}:{(274,1),(276,1),(353,1)}
       318:{1,4,6,7}:{(275,1),(276,1),(278,1),(300,1),(353,1)}
       319:{1,2,4,6}:{(276,1),(277,1),(279,1),(285,1),(350,1),(354,1),(356,1),(405,1)}
       320:{1,3,5,7}:{(277,1),(286,1),(302,1),(351,1),(356,1),(357,1),(372,1),(406,1)}
       321:{1,2,6,7}:{(278,1),(279,1),(287,1),(303,1),(409,1)}
       322:{1,2,3,6}:{(279,1),(280,1),(356,1),(358,1)}
       323:{1,2,4,7}:{(280,1),(304,1),(357,1),(358,1)}
       324:{1,3,5,7}:{(282,1),(283,1),(284,1),(288,1),(353,1),(359,1),(363,1)}
       325:{2,5,6}:{(283,1),(285,1),(359,1)}
       326:{2,4,6,7}:{(284,1),(285,1),(287,1),(305,1),(359,1),(361,1),(407,1)}
       327:{2,3,6}:{(285,1),(286,1),(356,1)}
       328:{2,3,4,7}:{(286,1),(307,1),(357,1),(362,1),(407,1)}
       329:{2,4,5,7}:{(288,1),(289,1),(290,1),(359,1),(363,1),(407,1)}
       330:{3,5,6}:{(289,1),(363,1),(364,1)}
       331:{3,6,7}:{(290,1),(363,1)}
       332:{3,6,7}:{(291,1),(292,1)}
       333:{2,3,5,7}:{(292,1),(293,1),(294,1),(298,1),(365,1),(366,1),(420,1)}
       334:{1,3,5,6}:{(293,1),(295,1),(299,1),(366,1),(367,1)}
       335:{1,3,4,7}:{(294,1),(295,1),(300,1),(366,1),(368,1),(372,1)}
       336:{2,4,6}:{(295,1),(296,1),(367,1),(368,1),(369,1)}
       337:{2,3,5}:{(296,1),(302,1),(369,1),(370,1)}
       338:{2,4,6,7}:{(297,1),(298,1),(352,1),(365,1),(371,1),(409,1)}
       339:{1,4,5,7}:{(298,1),(299,1),(300,1),(353,1),(366,1),(371,1)}
       340:{1,2,4,7}:{(300,1),(301,1),(303,1),(305,1),(368,1),(372,1)}
       341:{1,3,6}:{(301,1),(302,1),(306,1),(369,1),(372,1)}
       342:{1,3,4}:{(302,1),(304,1),(307,1),(370,1)}
       343:{2,3,7}:{(305,1),(306,1),(372,1)}
       344:{3,4,5,7}:{(308,1),(310,1),(373,1),(374,1),(391,1)}
       345:{2,4,5,6}:{(308,1),(311,1),(374,1),(375,1),(389,1)}
       346:{3,5,6,7}:{(309,1),(310,1),(332,1),(373,1)}
       347:{2,3,5,7}:{(310,1),(311,1),(312,1),(316,1),(374,1),(377,1)}
       348:{1,3,5,6}:{(311,1),(313,1),(317,1),(375,1),(377,1),(378,1),(412,1)}
       349:{1,3,4,6,7}:{(312,1),(313,1),(318,1),(335,1),(377,1),(379,1),(385,1),(393,1),(410,1),(417,1),(424,1),(425,1)}
       350:{2,4,6}:{(313,1),(314,1),(378,1),(380,1)}
       351:{2,3,5,7}:{(314,1),(320,1),(337,1),(380,1),(381,1),(395,1),(416,1)}
       352:{2,5,6,7}:{(315,1),(316,1),(338,1),(382,1)}
       353:{1,5,7}:{(316,1),(317,1),(318,1)}
       354:{1,2,5,6}:{(317,1),(319,1),(325,1),(378,1),(383,1),(384,1),(387,1)}
       355:{1,2,4,6,7}:{(318,1),(319,1),(321,1),(326,1),(340,1),(379,1),(383,1),(385,1),(417,1)}
       356:{1,3,6}:{(319,1),(320,1),(327,1),(380,1)}
       357:{1,3,4,7}:{(320,1),(323,1),(328,1),(342,1),(381,1),(386,1),(417,1)}
       358:{1,2,4,6}:{(322,1),(323,1),(386,1),(387,1)}
       359:{2,5,7}:{(324,1),(325,1),(326,1)}
       360:{2,3,5,6}:{(325,1),(327,1),(330,1),(384,1),(388,1),(389,1),(390,1)}
       361:{2,3,6,7}:{(326,1),(327,1),(331,1),(343,1),(385,1),(388,1)}
       362:{2,3,4,6}:{(327,1),(328,1),(386,1),(389,1),(390,1)}
       363:{3,5,7}:{(329,1),(330,1),(331,1),(391,1)}
       364:{3,4,6}:{(330,1),(389,1),(391,1),(392,1)}
       365:{2,3,6,7}:{(332,1),(333,1),(338,1),(393,1),(424,1)}
       366:{1,3,5,7}:{(333,1),(334,1),(335,1),(339,1),(393,1),(394,1)}
       367:{2,5,6}:{(334,1),(336,1),(394,1)}
       368:{2,4,7}:{(335,1),(336,1),(394,1),(395,1)}
       369:{2,3,6}:{(336,1),(337,1),(341,1),(395,1)}
       370:{2,3,4}:{(337,1),(342,1)}
       371:{1,4,6,7}:{(338,1),(339,1),(382,1),(393,1)}
       372:{1,3,7}:{(340,1),(341,1),(343,1),(395,1)}
       373:{3,4,6,7}:{(344,1),(346,1),(396,1)}
       374:{2,4,5,7}:{(344,1),(345,1),(347,1),(396,1),(397,1),(407,1)}
       375:{1,4,5,6}:{(345,1),(348,1),(397,1),(398,1),(405,1)}
       376:{2,3,5,6,7}:{(346,1),(347,1),(352,1),(365,1),(396,1),(399,1)}
       377:{1,3,5,7}:{(347,1),(348,1),(349,1),(353,1),(397,1),(400,1),(420,1)}
       378:{2,5,6}:{(348,1),(350,1),(400,1)}
       379:{2,4,6,7}:{(349,1),(350,1),(368,1),(400,1),(402,1),(409,1),(422,1)}
       380:{2,3,6}:{(350,1),(351,1),(356,1)}
       381:{2,3,4,7}:{(351,1),(357,1),(370,1),(403,1),(422,1)}
       382:{1,5,6,7}:{(352,1),(353,1),(371,1)}
       383:{1,2,5,7}:{(353,1),(354,1),(355,1),(359,1),(400,1),(404,1)}
       384:{1,3,5,6}:{(354,1),(356,1),(360,1),(401,1),(404,1),(405,1),(406,1)}
       385:{1,3,6,7}:{(355,1),(356,1),(361,1),(372,1),(402,1),(404,1)}
       386:{1,3,4,6}:{(356,1),(357,1),(358,1),(362,1),(403,1),(405,1),(406,1)}
       387:{1,2,5}:{(358,1),(406,1)}
       388:{2,3,5,7}:{(359,1),(360,1),(361,1),(363,1),(404,1),(407,1)}
       389:{2,4,6}:{(360,1),(364,1),(405,1),(407,1),(408,1)}
       390:{2,3,5}:{(362,1),(406,1),(408,1)}
       391:{3,4,7}:{(363,1),(364,1),(407,1)}
       392:{3,4,5}:{(364,1),(408,1)}
       393:{1,3,6,7}:{(365,1),(366,1),(371,1),(409,1)}
       394:{2,5,7}:{(366,1),(367,1),(368,1),(409,1)}
       395:{2,3,7}:{(368,1),(369,1),(372,1)}
       396:{2,4,6,7}:{(373,1),(374,1),(376,1),(410,1)}
       397:{1,4,5,7}:{(374,1),(375,1),(377,1),(410,1),(411,1),(417,1)}
       398:{2,4,5,6}:{(375,1),(378,1),(411,1),(412,1),(415,1)}
       399:{1,3,5,6,7}:{(376,1),(377,1),(382,1),(393,1),(410,1),(413,1),(424,1)}
       400:{2,5,7}:{(377,1),(378,1),(379,1)}
       401:{2,3,5,6}:{(378,1),(380,1),(384,1),(412,1),(414,1),(415,1),(416,1)}
       402:{2,3,6,7}:{(379,1),(380,1),(385,1),(395,1),(414,1),(424,1)}
       403:{2,3,4,6}:{(380,1),(381,1),(386,1),(415,1),(416,1)}
       404:{1,3,5,7}:{(383,1),(384,1),(385,1),(388,1),(414,1),(417,1)}
       405:{1,4,6}:{(384,1),(389,1),(415,1),(417,1),(418,1)}
       406:{1,3,5}:{(386,1),(387,1),(390,1),(416,1),(418,1)}
       407:{2,4,7}:{(388,1),(389,1),(391,1),(417,1)}
       408:{2,4,5}:{(389,1),(390,1),(392,1),(418,1)}
       409:{2,6,7}:{(393,1),(394,1)}
       410:{1,4,6,7}:{(396,1),(397,1),(399,1),(419,1)}
       411:{2,4,5,7}:{(397,1),(398,1),(400,1),(419,1),(420,1),(422,1)}
       412:{3,5,6}:{(398,1),(420,1),(421,1)}
       413:{2,5,6,7}:{(399,1),(400,1),(409,1),(419,1)}
       414:{2,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(420,1),(422,1)}
       415:{2,4,6}:{(401,1),(405,1),(421,1),(422,1),(423,1)}
       416:{2,3,5}:{(403,1),(406,1),(423,1)}
       417:{1,4,7}:{(404,1),(405,1),(407,1),(422,1)}
       418:{1,4,5}:{(405,1),(406,1),(408,1),(423,1)}
       419:{2,4,6,7}:{(410,1),(411,1),(413,1),(424,1)}
       420:{3,5,7}:{(411,1),(412,1),(424,1),(425,1)}
       421:{3,4,6}:{(412,1),(415,1),(425,1),(426,1)}
       422:{2,4,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,4,5}:{(415,1),(416,1),(418,1),(426,1)}
       424:{3,6,7}:{(419,1),(420,1)}
       425:{3,4,7}:{(420,1),(421,1),(422,1)}
       426:{3,4,5}:{(421,1),(423,1)}

2552 :   0:{1,2,5,6,7}:{(2,1),(3,1),(45,1),(47,1),(88,1),(89,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(2,1),(5,1),(17,1),(21,1),(45,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(8,1),(9,1),(28,1),(30,1),(67,1),(75,1),(101,1),(111,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(8,1),(9,1),(29,1),(107,1),(116,1),(139,1),(145,1)}
         4:{1,2,4,5,6}:{(7,1),(10,1),(27,1),(32,1),(66,1),(71,1),(107,1),(110,1),(112,1),(113,1),(116,1),(139,1),(145,1),(149,1),(153,1),(166,1),(174,1)}
         5:{2,4,6,7}:{(1,1),(8,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(17,1),(39,1),(45,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(15,1),(42,1),(45,1),(86,1),(89,1),(96,1),(121,1),(124,1),(126,1),(131,1)}
         8:{1,4,6,7}:{(2,1),(5,1),(13,1),(15,1),(95,1),(120,1),(131,1)}
         9:{1,3,6,7}:{(3,1),(14,1),(17,1),(125,1),(136,1),(154,1)}
        10:{1,3,5,6}:{(4,1),(14,1),(18,1),(19,1),(91,1),(125,1),(133,1),(136,1),(154,1),(164,1),(171,1)}
        11:{2,4,5,7}:{(5,1),(15,1),(20,1),(21,1),(45,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(8,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(9,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(23,1),(27,1),(28,1),(67,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(12,1),(24,1),(25,1),(28,1),(29,1),(62,1)}
        17:{2,3,6,7}:{(9,1),(26,1),(29,1),(30,1),(104,1),(145,1)}
        18:{1,3,4,6}:{(10,1),(25,1),(31,1),(32,1),(149,1),(152,1),(165,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(32,1),(33,1),(66,1),(69,1),(104,1),(113,1),(114,1),(145,1)}
        20:{2,4,5,6}:{(11,1),(27,1),(35,1),(66,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(29,1),(36,1),(37,1),(61,1),(73,1),(103,1),(104,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(15,1),(38,1),(39,1),(45,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(18,1),(42,1),(131,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(17,1),(19,1),(42,1),(43,1),(45,1),(126,1),(127,1)}
        27:{1,4,5,6}:{(15,1),(20,1),(38,1),(44,1),(88,1),(95,1),(120,1),(162,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(21,1),(39,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(42,1),(45,1),(46,1),(85,1)}
        30:{1,3,6,7}:{(17,1),(43,1),(46,1),(47,1),(125,1)}
        31:{1,3,4,5}:{(18,1),(49,1),(91,1),(135,1),(162,1),(164,1),(171,1)}
        32:{2,4,6}:{(18,1),(19,1),(42,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(19,1),(43,1),(50,1),(51,1),(88,1),(91,1),(94,1),(125,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(55,1),(56,1),(84,1),(90,1),(95,1),(125,1),(131,1),(136,1),(137,1),(161,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(27,1),(58,1),(66,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(59,1),(60,1),(61,1),(77,1),(99,1),(104,1),(119,1),(152,1),(169,1)}
        41:{1,3,4,5,7}:{(25,1),(28,1),(31,1),(34,1),(57,1),(62,1),(63,1),(74,1),(100,1),(105,1),(117,1),(140,1),(148,1),(170,1)}
        42:{2,4,7}:{(25,1),(26,1),(32,1),(64,1)}
        43:{1,3,5,7}:{(26,1),(30,1),(33,1),(64,1),(65,1),(67,1),(109,1)}
        44:{1,3,5,6}:{(27,1),(28,1),(35,1),(58,1),(62,1),(66,1),(170,1)}
        45:{2,5,7}:{(28,1),(29,1),(66,1),(67,1)}
        46:{1,4,6,7}:{(29,1),(30,1),(64,1),(67,1),(107,1)}
        47:{1,2,6,7}:{(30,1),(65,1),(145,1)}
        48:{2,3,4,6}:{(32,1),(61,1),(69,1),(70,1),(104,1),(114,1),(151,1),(152,1),(165,1),(169,1)}
        49:{2,4,5}:{(31,1),(32,1),(69,1),(71,1),(113,1),(151,1)}
        50:{1,4,6}:{(32,1),(33,1),(64,1),(71,1)}
        51:{1,2,5,6}:{(33,1),(65,1),(72,1),(113,1),(145,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(66,1),(73,1),(75,1),(104,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(67,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(106,1),(116,1),(119,1),(145,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(45,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(46,1),(81,1),(82,1),(84,1),(90,1),(120,1),(125,1),(131,1),(154,1),(155,1),(161,1),(172,1)}
        61:{2,3,4,7}:{(42,1),(48,1),(83,1),(84,1),(127,1),(137,1),(155,1),(160,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(52,1),(78,1),(85,1),(95,1),(120,1),(125,1),(136,1),(154,1)}
        63:{2,4,5,7}:{(41,1),(42,1),(45,1),(49,1),(83,1),(85,1),(86,1),(126,1),(160,1),(173,1)}
        64:{1,4,7}:{(42,1),(43,1),(50,1)}
        65:{1,2,5,7}:{(43,1),(47,1),(51,1),(87,1),(126,1)}
        66:{2,5,6}:{(44,1),(45,1),(85,1),(88,1),(173,1)}
        67:{1,5,7}:{(45,1),(46,1),(88,1)}
        68:{1,2,4,6,7}:{(46,1),(47,1),(56,1),(82,1),(87,1),(89,1),(90,1),(124,1),(128,1),(131,1),(157,1),(172,1)}
        69:{2,3,5}:{(48,1),(49,1),(91,1),(164,1),(171,1),(173,1)}
        70:{1,3,4,6}:{(48,1),(50,1),(84,1),(91,1),(92,1),(94,1),(125,1),(133,1),(135,1),(163,1),(172,1)}
        71:{1,4,5}:{(49,1),(50,1),(91,1),(163,1)}
        72:{1,2,4,6}:{(50,1),(51,1),(87,1),(92,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(131,1),(162,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(88,1),(95,1),(97,1),(125,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(90,1),(98,1),(127,1),(136,1),(159,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(66,1),(99,1),(101,1),(104,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(67,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(106,1),(139,1),(142,1),(145,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(105,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(64,1),(70,1),(105,1),(106,1),(109,1),(144,1),(168,1)}
        85:{2,4,6}:{(62,1),(63,1),(66,1),(104,1),(107,1),(145,1)}
        86:{1,4,5,7}:{(63,1),(64,1),(67,1),(71,1),(105,1),(107,1),(168,1),(174,1)}
        87:{1,2,4,7}:{(64,1),(65,1),(72,1),(106,1),(109,1)}
        88:{1,5,6}:{(66,1),(67,1),(107,1),(174,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(76,1),(102,1),(110,1),(111,1),(174,1)}
        90:{1,3,6,7}:{(68,1),(77,1),(103,1),(109,1),(111,1),(144,1),(147,1),(167,1)}
        91:{1,3,5}:{(69,1),(70,1),(71,1),(113,1),(174,1)}
        92:{2,4,6}:{(70,1),(106,1),(113,1),(114,1),(145,1),(151,1)}
        93:{1,2,4,5}:{(71,1),(72,1),(113,1),(115,1),(151,1)}
        94:{1,3,6}:{(72,1),(109,1),(114,1),(115,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(145,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(111,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(131,1),(162,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(88,1),(120,1),(122,1),(125,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(90,1),(123,1),(127,1),(154,1),(159,1)}
       104:{2,3,6}:{(83,1),(85,1),(125,1),(136,1),(154,1)}
       105:{1,3,5,7}:{(83,1),(84,1),(86,1),(91,1),(125,1),(126,1)}
       106:{2,4,7}:{(84,1),(92,1),(126,1),(127,1)}
       107:{1,4,6}:{(85,1),(86,1),(88,1),(125,1)}
       108:{1,2,4,5,7}:{(86,1),(87,1),(89,1),(93,1),(96,1),(121,1),(126,1),(128,1),(129,1),(131,1),(160,1),(162,1),(173,1)}
       109:{1,3,7}:{(87,1),(94,1),(127,1)}
       110:{1,2,5,6}:{(88,1),(89,1),(97,1),(122,1),(128,1),(130,1),(157,1),(173,1)}
       111:{1,3,5,7}:{(89,1),(90,1),(98,1),(123,1),(130,1),(131,1)}
       112:{1,2,4,6}:{(92,1),(124,1),(132,1),(133,1),(157,1),(163,1),(172,1)}
       113:{2,5}:{(91,1),(92,1)}
       114:{2,3,6}:{(92,1),(94,1),(127,1),(133,1),(134,1)}
       115:{1,3,5}:{(93,1),(94,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(130,1),(136,1),(138,1),(159,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(131,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(145,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(111,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(106,1),(112,1),(143,1),(144,1),(168,1)}
       125:{1,3,6}:{(104,1),(105,1),(107,1),(145,1)}
       126:{2,5,7}:{(105,1),(106,1),(113,1),(145,1)}
       127:{2,3,7}:{(106,1),(109,1),(114,1),(144,1)}
       128:{1,2,4,6}:{(107,1),(108,1),(110,1),(116,1),(139,1),(145,1),(147,1),(149,1),(169,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(117,1),(140,1),(146,1),(147,1),(148,1),(170,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(118,1),(141,1),(147,1),(149,1),(167,1),(170,1),(174,1)}
       131:{1,4,7}:{(111,1),(119,1),(142,1),(149,1)}
       132:{1,2,5}:{(112,1),(113,1),(150,1),(174,1)}
       133:{1,3,6}:{(112,1),(114,1),(144,1),(150,1)}
       134:{2,3,5}:{(113,1),(114,1),(115,1),(150,1),(151,1)}
       135:{1,3,4}:{(115,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(149,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(130,1),(154,1),(156,1),(159,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(131,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(126,1),(132,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(127,1),(133,1)}
       145:{2,6}:{(125,1),(126,1)}
       146:{2,3,5,7}:{(126,1),(127,1),(129,1),(134,1),(158,1),(159,1),(160,1),(173,1)}
       147:{1,3,6}:{(128,1),(129,1),(136,1),(154,1),(159,1)}
       148:{1,3,4,7}:{(129,1),(131,1),(135,1),(137,1),(155,1),(160,1),(161,1)}
       149:{1,4,6}:{(130,1),(131,1),(138,1),(156,1),(162,1)}
       150:{1,3,5}:{(132,1),(133,1),(134,1),(163,1)}
       151:{2,4}:{(134,1),(135,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(162,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(149,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(145,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(167,1),(168,1),(174,1)}
       159:{2,3,6}:{(145,1),(146,1),(147,1),(167,1),(169,1)}
       160:{2,4,7}:{(146,1),(148,1),(151,1),(168,1),(169,1)}
       161:{1,3,4,6}:{(147,1),(148,1),(149,1),(152,1),(165,1),(169,1),(170,1)}
       162:{1,4,5}:{(149,1),(153,1),(166,1),(170,1),(174,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(162,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(159,1),(172,1)}
       168:{1,4,7}:{(158,1),(160,1),(163,1),(172,1)}
       169:{2,4,6}:{(159,1),(160,1),(161,1),(172,1),(173,1)}
       170:{1,3,5}:{(161,1),(162,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2553 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2554 :   0:{2,3,4,5,7}:{(1,1),(2,1),(13,1),(38,1),(171,1),(174,1),(198,1),(200,1),(255,1),(266,1)}
         1:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(22,1),(28,1),(141,1),(143,1),(156,1),(159,1),(240,1),(242,1),(306,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(66,1),(135,1),(295,1),(305,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(14,1),(37,1),(117,1),(120,1),(197,1),(256,1),(258,1),(266,1)}
         4:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(50,1),(94,1),(171,1),(194,1),(198,1),(251,1),(263,1)}
         5:{2,4,5,7}:{(1,1),(14,1),(15,1),(52,1),(117,1),(120,1),(282,1),(283,1)}
         6:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(44,1),(107,1),(121,1),(339,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(327,1),(336,1)}
         8:{1,3,4,5,7}:{(3,1),(19,1),(20,1),(22,1),(63,1),(141,1),(143,1),(213,1),(216,1),(297,1),(299,1),(306,1)}
         9:{2,3,4,6}:{(3,1),(20,1),(21,1),(31,1),(87,1),(238,1),(305,1)}
        10:{1,2,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(24,1),(71,1),(77,1),(141,1),(143,1),(306,1),(307,1),(308,1),(311,1)}
        11:{1,2,3,5,7}:{(22,1),(24,1),(25,1),(77,1),(311,1),(312,1),(313,1)}
        12:{1,3,4,6,7}:{(4,1),(6,1),(27,1),(28,1),(70,1),(80,1),(141,1),(152,1),(156,1),(237,1),(240,1),(303,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(28,1),(29,1),(292,1),(302,1)}
        14:{2,3,5,7}:{(5,1),(22,1),(30,1),(31,1),(86,1),(319,1),(320,1)}
        15:{2,4,6}:{(5,1),(6,1),(31,1),(32,1)}
        16:{1,3,5,6}:{(6,1),(7,1),(28,1),(32,1),(33,1),(88,1),(365,1)}
        17:{2,4,5,6}:{(7,1),(29,1),(33,1),(34,1),(135,1)}
        18:{2,3,4,6,7}:{(9,1),(36,1),(37,1),(51,1),(93,1),(117,1),(193,1),(252,1),(256,1),(263,1)}
        19:{2,4,5,7}:{(8,1),(38,1),(39,1),(95,1),(171,1),(174,1),(333,1),(334,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(39,1),(40,1),(44,1),(107,1),(175,1),(339,1)}
        21:{2,3,5,6}:{(9,1),(37,1),(40,1),(41,1),(276,1),(336,1)}
        22:{1,3,5,7}:{(10,1),(14,1),(38,1),(43,1),(44,1),(106,1),(341,1),(342,1)}
        23:{1,2,4,6}:{(10,1),(15,1),(39,1),(44,1),(45,1),(107,1),(339,1),(343,1)}
        24:{1,2,4,7}:{(11,1),(43,1),(47,1),(345,1)}
        25:{1,2,3,6}:{(11,1),(44,1),(47,1),(343,1)}
        26:{2,3,5,6,7}:{(13,1),(49,1),(50,1),(60,1),(125,1),(194,1)}
        27:{2,4,6,7}:{(12,1),(15,1),(51,1),(52,1),(117,1),(279,1),(282,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(16,1),(52,1),(53,1),(118,1),(337,1)}
        29:{2,4,5,7}:{(13,1),(17,1),(50,1),(53,1),(54,1),(171,1)}
        30:{2,3,4,7}:{(14,1),(43,1),(55,1),(117,1),(351,1)}
        31:{2,3,6}:{(14,1),(15,1),(44,1)}
        32:{2,5,6}:{(15,1),(16,1),(52,1)}
        33:{1,4,5,6}:{(16,1),(17,1),(53,1),(57,1),(107,1)}
        34:{3,4,5,6}:{(17,1),(54,1),(175,1),(327,1)}
        35:{2,4,5,6,7}:{(50,1),(59,1),(60,1),(125,1),(250,1),(287,1)}
        36:{1,3,4,6,7}:{(18,1),(20,1),(62,1),(63,1),(70,1),(128,1),(141,1),(209,1),(213,1),(294,1),(297,1),(303,1)}
        37:{2,3,5,7}:{(18,1),(21,1),(63,1),(64,1),(235,1),(302,1)}
        38:{2,3,5,7}:{(19,1),(22,1),(65,1),(66,1),(134,1),(363,1),(364,1)}
        39:{2,4,6}:{(19,1),(20,1),(66,1),(67,1)}
        40:{1,3,5,6}:{(20,1),(21,1),(63,1),(67,1),(68,1),(136,1),(365,1)}
        41:{2,4,5,6}:{(21,1),(64,1),(68,1),(69,1),(87,1)}
        42:{1,2,4,6,7}:{(23,1),(27,1),(62,1),(70,1),(71,1),(141,1),(303,1),(304,1),(307,1)}
        43:{1,3,4,7}:{(22,1),(24,1),(30,1),(65,1),(72,1),(141,1),(370,1)}
        44:{1,3,6}:{(22,1),(23,1),(31,1),(66,1)}
        45:{1,2,5,6}:{(23,1),(32,1),(67,1),(71,1),(73,1),(77,1),(365,1)}
        46:{1,2,3,6,7}:{(25,1),(70,1),(75,1),(76,1),(221,1),(229,1),(304,1),(312,1),(367,1),(371,1)}
        47:{1,2,4,6}:{(24,1),(25,1),(72,1),(77,1)}
        48:{1,2,3,5,6}:{(25,1),(73,1),(76,1),(77,1),(78,1),(145,1),(146,1),(149,1),(228,1),(229,1),(309,1),(313,1),(371,1),(404,1),(407,1)}
        49:{1,3,5,6,7}:{(26,1),(28,1),(79,1),(80,1),(152,1),(164,1),(237,1)}
        50:{2,4,6,7}:{(26,1),(29,1),(80,1),(81,1)}
        51:{2,3,6,7}:{(27,1),(31,1),(70,1),(83,1),(152,1),(319,1)}
        52:{2,5,7}:{(27,1),(28,1),(32,1)}
        53:{1,4,5,7}:{(28,1),(29,1),(33,1),(80,1),(84,1),(141,1)}
        54:{3,4,5,7}:{(29,1),(34,1),(81,1),(213,1),(292,1)}
        55:{2,3,4,6}:{(30,1),(31,1),(72,1),(86,1),(87,1)}
        56:{2,3,5,6}:{(31,1),(32,1),(73,1),(83,1),(86,1),(87,1),(88,1)}
        57:{2,4,5,6}:{(32,1),(33,1),(84,1),(87,1),(88,1)}
        58:{1,3,4,5,6}:{(33,1),(34,1),(85,1),(88,1),(89,1),(144,1),(161,1),(244,1),(301,1),(321,1),(377,1)}
        59:{1,4,5,6,7}:{(35,1),(80,1),(90,1),(91,1),(164,1),(219,1),(246,1)}
        60:{3,5,6,7}:{(35,1),(81,1),(292,1),(323,1)}
        61:{2,3,5,6,7}:{(37,1),(92,1),(93,1),(166,1),(249,1),(252,1)}
        62:{2,4,6,7}:{(36,1),(39,1),(94,1),(95,1),(171,1),(330,1),(333,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(40,1),(95,1),(96,1),(172,1),(337,1)}
        64:{2,4,5,7}:{(37,1),(41,1),(93,1),(96,1),(97,1),(117,1)}
        65:{2,3,4,7}:{(38,1),(43,1),(98,1),(171,1),(387,1)}
        66:{2,3,6}:{(38,1),(39,1),(44,1)}
        67:{2,5,6}:{(39,1),(40,1),(95,1)}
        68:{1,4,5,6}:{(40,1),(41,1),(96,1),(100,1),(107,1)}
        69:{3,4,5,6}:{(41,1),(97,1),(121,1),(276,1)}
        70:{1,3,6,7}:{(42,1),(44,1),(51,1),(94,1),(104,1),(341,1)}
        71:{1,2,5,7}:{(42,1),(45,1),(52,1),(95,1),(104,1),(337,1)}
        72:{1,3,4,6}:{(43,1),(44,1),(47,1),(55,1),(98,1),(106,1),(107,1)}
        73:{1,3,5,6}:{(44,1),(45,1),(56,1),(99,1),(104,1),(106,1),(107,1)}
        74:{1,2,4,5,6}:{(45,1),(57,1),(100,1),(105,1),(107,1),(108,1),(111,1),(123,1),(177,1),(185,1),(187,1),(202,1),(260,1),(261,1),(270,1),(336,1),(352,1),(388,1),(411,1),(416,1)}
        75:{1,2,4,6,7}:{(46,1),(47,1),(103,1),(109,1),(110,1),(187,1),(263,1),(273,1),(343,1),(392,1)}
        76:{1,2,3,5,7}:{(46,1),(48,1),(104,1),(109,1),(110,1),(183,1),(188,1),(268,1),(341,1),(389,1)}
        77:{1,2,5}:{(47,1),(106,1)}
        78:{1,2,4,6}:{(48,1),(107,1),(110,1),(111,1),(112,1),(185,1),(345,1),(416,1)}
        79:{2,5,6,7}:{(49,1),(52,1),(114,1),(279,1)}
        80:{1,4,6,7}:{(49,1),(50,1),(53,1),(114,1)}
        81:{3,4,6,7}:{(50,1),(54,1),(60,1)}
        82:{2,3,4,6,7}:{(51,1),(55,1),(103,1),(116,1),(117,1),(189,1),(193,1),(196,1),(263,1),(271,1),(384,1),(414,1),(415,1)}
        83:{2,3,5,7}:{(51,1),(52,1),(56,1),(104,1),(117,1),(118,1)}
        84:{2,4,5,7}:{(52,1),(53,1),(57,1),(114,1),(117,1),(118,1)}
        85:{1,3,4,5,7}:{(53,1),(54,1),(58,1),(115,1),(118,1),(119,1),(182,1),(199,1),(203,1),(262,1),(286,1),(353,1)}
        86:{2,3,5}:{(55,1),(106,1),(120,1)}
        87:{2,4,6}:{(56,1),(107,1),(117,1),(120,1),(121,1)}
        88:{3,5,6}:{(57,1),(118,1),(121,1)}
        89:{2,4,5,6}:{(58,1),(119,1),(122,1),(123,1),(185,1),(202,1),(336,1)}
        90:{2,4,5,6,7}:{(59,1),(114,1),(124,1),(125,1),(192,1),(204,1)}
        91:{1,3,5,6,7}:{(59,1),(60,1),(115,1),(124,1),(125,1),(262,1)}
        92:{1,3,5,6,7}:{(61,1),(63,1),(127,1),(128,1),(209,1),(290,1),(294,1)}
        93:{2,4,6,7}:{(61,1),(64,1),(128,1),(129,1)}
        94:{2,3,6,7}:{(62,1),(66,1),(70,1),(131,1),(209,1),(363,1)}
        95:{2,5,7}:{(62,1),(63,1),(67,1)}
        96:{1,4,5,7}:{(63,1),(64,1),(68,1),(128,1),(132,1),(141,1)}
        97:{3,4,5,7}:{(64,1),(69,1),(129,1),(156,1),(235,1)}
        98:{2,3,4,6}:{(65,1),(66,1),(72,1),(134,1),(135,1)}
        99:{2,3,5,6}:{(66,1),(67,1),(73,1),(131,1),(134,1),(135,1),(136,1)}
       100:{2,4,5,6}:{(67,1),(68,1),(132,1),(135,1),(136,1)}
       101:{1,3,4,5,6}:{(68,1),(69,1),(133,1),(136,1),(137,1),(144,1),(218,1),(301,1),(354,1),(397,1),(419,1)}
       102:{1,2,5,6,7}:{(71,1),(79,1),(127,1),(138,1),(139,1),(146,1),(164,1),(247,1),(290,1),(302,1),(304,1),(357,1),(366,1)}
       103:{1,3,4,6,7}:{(70,1),(72,1),(75,1),(82,1),(130,1),(140,1),(141,1),(148,1),(222,1),(229,1),(231,1),(303,1),(310,1),(367,1),(405,1),(406,1)}
       104:{1,3,5,7}:{(70,1),(71,1),(73,1),(83,1),(131,1),(141,1)}
       105:{1,2,4,5,7}:{(71,1),(74,1),(84,1),(132,1),(139,1),(141,1),(142,1),(158,1),(215,1),(219,1),(224,1),(241,1),(298,1),(302,1),(307,1),(322,1),(366,1),(398,1),(405,1)}
       106:{1,3,5}:{(72,1),(77,1),(86,1),(134,1),(143,1)}
       107:{1,4,6}:{(73,1),(87,1),(135,1),(141,1),(143,1)}
       108:{1,3,5,6}:{(74,1),(88,1),(136,1),(142,1),(144,1),(145,1),(149,1),(229,1),(309,1),(377,1),(419,1)}
       109:{1,2,5,7}:{(75,1),(77,1),(140,1),(146,1),(302,1),(407,1)}
       110:{1,2,4,7}:{(76,1),(78,1),(141,1),(148,1),(224,1),(405,1)}
       111:{1,2,4,5}:{(77,1),(78,1),(143,1),(149,1),(226,1),(407,1),(423,1)}
       112:{1,3,4,6}:{(78,1),(148,1),(149,1),(150,1),(229,1),(309,1),(370,1)}
       113:{2,3,5,6,7}:{(79,1),(83,1),(138,1),(151,1),(152,1),(154,1),(221,1),(235,1),(302,1),(357,1),(399,1),(401,1)}
       114:{2,4,6,7}:{(79,1),(80,1),(84,1),(152,1)}
       115:{1,3,4,6,7}:{(80,1),(81,1),(85,1),(91,1),(152,1),(153,1),(162,1),(237,1),(246,1),(323,1)}
       116:{2,3,5,7}:{(82,1),(86,1),(140,1),(154,1),(155,1),(235,1),(302,1),(422,1)}
       117:{2,4,7}:{(83,1),(87,1),(141,1),(156,1)}
       118:{3,5,7}:{(84,1),(88,1),(152,1),(156,1)}
       119:{2,4,5,7}:{(85,1),(89,1),(153,1),(157,1),(158,1),(224,1),(241,1),(302,1)}
       120:{2,4,5}:{(86,1),(87,1),(143,1),(159,1)}
       121:{3,4,6}:{(87,1),(88,1),(156,1),(159,1)}
       122:{2,3,5,6}:{(88,1),(89,1),(157,1),(160,1),(161,1),(377,1)}
       123:{1,4,5,6}:{(89,1),(158,1),(161,1),(227,1),(365,1)}
       124:{3,5,6,7}:{(90,1),(152,1),(162,1),(235,1)}
       125:{2,5,6,7}:{(91,1),(153,1),(164,1),(302,1)}
       126:{2,4,5,6,7}:{(93,1),(165,1),(166,1),(192,1),(249,1),(381,1)}
       127:{2,5,6,7}:{(92,1),(95,1),(168,1),(330,1)}
       128:{1,4,6,7}:{(92,1),(93,1),(96,1),(168,1)}
       129:{3,4,6,7}:{(93,1),(97,1),(166,1)}
       130:{2,3,4,6,7}:{(94,1),(98,1),(103,1),(170,1),(171,1),(189,1),(251,1),(254,1),(263,1),(271,1),(348,1),(394,1),(395,1)}
       131:{2,3,5,7}:{(94,1),(95,1),(99,1),(104,1),(171,1),(172,1)}
       132:{2,4,5,7}:{(95,1),(96,1),(100,1),(168,1),(171,1),(172,1)}
       133:{1,3,4,5,7}:{(96,1),(97,1),(101,1),(169,1),(172,1),(173,1),(182,1),(257,1),(262,1),(324,1),(380,1),(412,1)}
       134:{2,3,5}:{(98,1),(106,1),(174,1)}
       135:{2,4,6}:{(99,1),(107,1),(171,1),(174,1),(175,1)}
       136:{3,5,6}:{(100,1),(172,1),(175,1)}
       137:{2,4,5,6}:{(101,1),(173,1),(176,1),(177,1),(185,1),(260,1),(336,1)}
       138:{1,3,5,6,7}:{(102,1),(104,1),(113,1),(167,1),(178,1),(179,1),(180,1),(262,1),(264,1),(337,1),(389,1)}
       139:{1,2,4,6,7}:{(102,1),(105,1),(114,1),(168,1),(178,1),(179,1),(187,1),(195,1),(253,1),(263,1),(279,1),(287,1),(330,1),(381,1)}
       140:{1,3,5,7}:{(103,1),(106,1),(109,1),(116,1),(170,1),(180,1),(181,1),(337,1),(417,1)}
       141:{1,4,7}:{(104,1),(107,1),(117,1),(171,1)}
       142:{1,3,5,7}:{(105,1),(108,1),(118,1),(172,1),(179,1),(182,1),(183,1),(341,1),(353,1),(412,1)}
       143:{1,4,5}:{(106,1),(107,1),(120,1),(174,1)}
       144:{1,3,4,6}:{(107,1),(108,1),(121,1),(175,1),(182,1),(184,1),(185,1),(396,1),(416,1),(424,1)}
       145:{2,3,5,6}:{(108,1),(183,1),(185,1),(186,1),(190,1),(202,1),(260,1),(271,1),(284,1),(335,1),(336,1)}
       146:{1,2,5,6}:{(109,1),(180,1),(187,1),(336,1),(343,1)}
       147:{1,2,4,5,7}:{(109,1),(110,1),(111,1),(181,1),(187,1),(188,1),(266,1)}
       148:{1,3,4,7}:{(110,1),(112,1),(188,1),(189,1),(341,1)}
       149:{1,3,5}:{(111,1),(112,1),(190,1)}
       150:{2,3,4,6}:{(112,1),(185,1),(189,1),(190,1),(191,1),(271,1),(284,1),(335,1),(351,1),(387,1)}
       151:{2,4,6,7}:{(113,1),(117,1),(178,1),(192,1),(193,1),(196,1),(414,1)}
       152:{3,6,7}:{(114,1),(118,1)}
       153:{2,4,6,7}:{(115,1),(119,1),(125,1),(194,1),(195,1),(279,1)}
       154:{2,3,5,6}:{(116,1),(180,1),(196,1),(271,1),(276,1),(336,1)}
       155:{2,4,5,7}:{(116,1),(117,1),(120,1),(181,1),(196,1),(197,1),(414,1),(425,1)}
       156:{3,4,7}:{(117,1),(118,1),(121,1)}
       157:{2,3,5,7}:{(118,1),(119,1),(122,1),(194,1),(198,1),(199,1),(353,1)}
       158:{1,4,5,7}:{(119,1),(123,1),(195,1),(199,1),(267,1),(337,1)}
       159:{3,4,5}:{(120,1),(121,1)}
       160:{2,3,4,6}:{(121,1),(122,1),(185,1),(198,1),(200,1),(201,1),(335,1),(396,1)}
       161:{1,3,5,6}:{(122,1),(123,1),(199,1),(201,1),(202,1)}
       162:{3,4,6,7}:{(124,1),(203,1),(204,1)}
       163:{2,3,5,6,7}:{(124,1),(125,1),(194,1),(204,1),(205,1),(277,1)}
       164:{1,5,6,7}:{(125,1),(195,1),(337,1)}
       165:{1,4,5,6,7}:{(126,1),(128,1),(206,1),(207,1),(219,1),(290,1),(356,1)}
       166:{3,5,6,7}:{(126,1),(129,1),(235,1),(399,1)}
       167:{2,3,5,6,7}:{(127,1),(131,1),(138,1),(208,1),(209,1),(211,1),(221,1),(247,1),(292,1),(302,1),(323,1),(374,1)}
       168:{2,4,6,7}:{(127,1),(128,1),(132,1),(209,1)}
       169:{1,3,4,6,7}:{(128,1),(129,1),(133,1),(207,1),(209,1),(210,1),(288,1),(294,1),(356,1),(399,1)}
       170:{2,3,5,7}:{(130,1),(134,1),(140,1),(211,1),(212,1),(292,1),(302,1),(409,1)}
       171:{2,4,7}:{(131,1),(135,1),(141,1),(213,1)}
       172:{3,5,7}:{(132,1),(136,1),(209,1),(213,1)}
       173:{2,4,5,7}:{(133,1),(137,1),(210,1),(214,1),(215,1),(224,1),(298,1),(302,1)}
       174:{2,4,5}:{(134,1),(135,1),(143,1),(216,1)}
       175:{3,4,6}:{(135,1),(136,1),(213,1),(216,1)}
       176:{2,3,5,6}:{(136,1),(137,1),(214,1),(217,1),(218,1),(419,1)}
       177:{1,4,5,6}:{(137,1),(215,1),(218,1),(227,1),(365,1)}
       178:{1,4,6,7}:{(138,1),(141,1),(151,1),(208,1),(219,1),(222,1),(405,1)}
       179:{1,3,6,7}:{(139,1),(142,1),(152,1),(209,1),(221,1),(229,1),(323,1),(399,1)}
       180:{1,3,5,6}:{(140,1),(146,1),(154,1),(211,1),(222,1),(229,1),(310,1),(365,1)}
       181:{1,4,5,7}:{(140,1),(141,1),(143,1),(155,1),(212,1),(222,1),(405,1),(423,1)}
       182:{1,3,4,7}:{(141,1),(142,1),(144,1),(156,1),(213,1),(224,1),(378,1),(405,1),(420,1)}
       183:{2,3,5,7}:{(142,1),(145,1),(221,1),(224,1),(225,1),(241,1),(298,1),(302,1),(319,1),(363,1)}
       184:{1,3,4,5}:{(143,1),(144,1),(149,1),(159,1),(216,1),(226,1),(410,1),(423,1),(426,1)}
       185:{2,4,6}:{(144,1),(145,1),(224,1),(226,1),(227,1)}
       186:{1,3,5,6}:{(145,1),(225,1),(227,1),(228,1),(232,1),(309,1),(310,1),(365,1)}
       187:{1,2,4,6}:{(146,1),(147,1),(222,1),(229,1),(305,1)}
       188:{1,3,5,7}:{(147,1),(148,1),(149,1),(229,1),(230,1)}
       189:{2,3,4,7}:{(148,1),(150,1),(224,1),(230,1),(231,1),(319,1),(363,1)}
       190:{2,3,5}:{(149,1),(150,1),(226,1),(232,1)}
       191:{1,3,4,6}:{(150,1),(227,1),(231,1),(232,1),(233,1),(309,1),(310,1),(370,1)}
       192:{2,4,5,7}:{(151,1),(219,1),(234,1),(235,1),(302,1)}
       193:{3,4,6,7}:{(151,1),(152,1),(156,1),(235,1),(238,1),(399,1),(420,1)}
       194:{2,3,6,7}:{(152,1),(153,1),(157,1),(237,1),(323,1)}
       195:{1,4,6,7}:{(153,1),(158,1),(164,1),(237,1)}
       196:{2,4,6}:{(154,1),(155,1),(222,1),(238,1)}
       197:{3,4,5,7}:{(155,1),(156,1),(159,1),(235,1),(238,1),(420,1),(426,1)}
       198:{2,3,4,7}:{(156,1),(157,1),(160,1),(224,1),(240,1),(363,1),(378,1)}
       199:{1,3,5,7}:{(157,1),(158,1),(161,1),(237,1),(240,1),(241,1)}
       200:{2,3,4,5}:{(159,1),(160,1),(226,1),(242,1),(364,1),(410,1)}
       201:{1,3,4,6}:{(160,1),(161,1),(227,1),(240,1),(242,1),(243,1),(309,1)}
       202:{2,5,6}:{(161,1),(241,1),(243,1)}
       203:{3,4,5,7}:{(162,1),(235,1),(244,1),(245,1),(420,1)}
       204:{2,4,6,7}:{(162,1),(163,1),(245,1),(246,1)}
       205:{1,3,5,6,7}:{(163,1),(164,1),(237,1),(246,1),(247,1),(315,1),(323,1)}
       206:{2,4,5,6,7}:{(165,1),(168,1),(248,1),(249,1),(250,1),(325,1)}
       207:{1,3,5,6,7}:{(165,1),(166,1),(169,1),(248,1),(249,1),(262,1)}
       208:{2,4,6,7}:{(167,1),(171,1),(178,1),(250,1),(251,1),(254,1),(394,1)}
       209:{3,6,7}:{(168,1),(172,1)}
       210:{2,4,6,7}:{(169,1),(173,1),(249,1),(252,1),(253,1),(330,1)}
       211:{2,3,5,6}:{(170,1),(180,1),(254,1),(271,1),(327,1),(336,1)}
       212:{2,4,5,7}:{(170,1),(171,1),(174,1),(181,1),(254,1),(255,1),(394,1),(418,1)}
       213:{3,4,7}:{(171,1),(172,1),(175,1)}
       214:{2,3,5,7}:{(172,1),(173,1),(176,1),(252,1),(256,1),(257,1),(412,1)}
       215:{1,4,5,7}:{(173,1),(177,1),(253,1),(257,1),(267,1),(337,1)}
       216:{3,4,5}:{(174,1),(175,1)}
       217:{2,3,4,6}:{(175,1),(176,1),(185,1),(256,1),(258,1),(259,1),(284,1),(424,1)}
       218:{1,3,5,6}:{(176,1),(177,1),(257,1),(259,1),(260,1)}
       219:{1,4,5,7}:{(178,1),(192,1),(250,1),(261,1),(262,1),(337,1)}
       220:{1,3,4,6,7}:{(178,1),(179,1),(182,1),(193,1),(251,1),(262,1),(263,1),(265,1)}
       221:{2,3,6,7}:{(179,1),(183,1),(263,1),(264,1),(271,1),(279,1),(330,1)}
       222:{1,4,6}:{(180,1),(181,1),(196,1),(254,1)}
       223:{1,3,4,5,7}:{(181,1),(182,1),(184,1),(188,1),(197,1),(255,1),(262,1),(265,1),(266,1)}
       224:{2,4,7}:{(182,1),(183,1),(185,1),(267,1)}
       225:{1,3,5,7}:{(183,1),(186,1),(264,1),(267,1),(268,1),(337,1),(341,1)}
       226:{2,4,5}:{(184,1),(185,1),(190,1),(269,1)}
       227:{1,4,6}:{(185,1),(186,1),(267,1),(269,1)}
       228:{1,2,5,6}:{(186,1),(202,1),(260,1),(268,1),(270,1),(274,1),(343,1)}
       229:{1,3,6}:{(187,1),(188,1),(271,1)}
       230:{2,3,5,7}:{(188,1),(189,1),(190,1),(266,1),(271,1),(272,1)}
       231:{1,3,4,7}:{(189,1),(191,1),(267,1),(272,1),(273,1),(341,1)}
       232:{1,3,5}:{(190,1),(191,1),(269,1),(274,1)}
       233:{1,2,4,6}:{(191,1),(273,1),(274,1),(275,1),(343,1),(345,1)}
       234:{2,4,5,6}:{(192,1),(196,1),(261,1),(276,1),(336,1)}
       235:{3,5,7}:{(192,1),(193,1),(276,1)}
       236:{2,3,4,6,7}:{(193,1),(194,1),(198,1),(204,1),(263,1),(277,1),(278,1),(280,1),(384,1),(414,1)}
       237:{1,3,6,7}:{(194,1),(195,1),(199,1),(279,1)}
       238:{3,4,6}:{(196,1),(197,1),(276,1)}
       239:{2,3,4,5,7}:{(197,1),(198,1),(200,1),(266,1),(277,1),(280,1),(281,1),(386,1),(414,1),(425,1)}
       240:{1,3,4,7}:{(198,1),(199,1),(201,1),(267,1),(282,1),(341,1)}
       241:{2,5,7}:{(199,1),(202,1),(279,1),(282,1)}
       242:{1,3,4,5}:{(200,1),(201,1),(269,1),(283,1),(342,1)}
       243:{2,4,6}:{(201,1),(202,1),(282,1),(283,1),(284,1)}
       244:{3,4,5,6}:{(203,1),(276,1),(285,1),(424,1)}
       245:{2,4,5,7}:{(203,1),(204,1),(277,1),(285,1),(286,1),(414,1)}
       246:{1,4,6,7}:{(204,1),(205,1),(286,1),(287,1)}
       247:{2,5,6,7}:{(205,1),(279,1),(287,1),(347,1)}
       248:{3,5,6,7}:{(206,1),(209,1),(288,1),(292,1)}
       249:{2,5,6,7}:{(207,1),(210,1),(290,1),(302,1)}
       250:{2,4,5,7}:{(208,1),(219,1),(291,1),(292,1),(302,1)}
       251:{3,4,6,7}:{(208,1),(209,1),(213,1),(292,1),(295,1),(323,1),(378,1)}
       252:{2,3,6,7}:{(209,1),(210,1),(214,1),(294,1),(399,1)}
       253:{1,4,6,7}:{(210,1),(215,1),(290,1),(294,1)}
       254:{2,4,6}:{(211,1),(212,1),(222,1),(295,1)}
       255:{3,4,5,7}:{(212,1),(213,1),(216,1),(292,1),(295,1),(378,1),(410,1)}
       256:{2,3,4,7}:{(213,1),(214,1),(217,1),(224,1),(297,1),(319,1),(420,1)}
       257:{1,3,5,7}:{(214,1),(215,1),(218,1),(294,1),(297,1),(298,1)}
       258:{2,3,4,5}:{(216,1),(217,1),(226,1),(299,1),(320,1),(426,1)}
       259:{1,3,4,6}:{(217,1),(218,1),(227,1),(297,1),(299,1),(300,1),(309,1)}
       260:{2,5,6}:{(218,1),(298,1),(300,1)}
       261:{1,4,5,6}:{(219,1),(222,1),(234,1),(291,1),(301,1),(365,1)}
       262:{1,3,5,7}:{(219,1),(220,1),(235,1),(292,1),(301,1),(302,1)}
       263:{2,4,6,7}:{(220,1),(221,1),(224,1),(302,1),(303,1),(305,1)}
       264:{1,3,6,7}:{(221,1),(225,1),(303,1),(304,1),(310,1)}
       265:{1,3,4,6}:{(222,1),(223,1),(229,1),(238,1),(295,1),(301,1),(305,1)}
       266:{2,4,5,7}:{(223,1),(224,1),(226,1),(230,1),(302,1),(305,1),(306,1)}
       267:{1,4,7}:{(224,1),(225,1),(227,1)}
       268:{1,2,5,7}:{(225,1),(228,1),(241,1),(298,1),(304,1),(307,1)}
       269:{1,4,5}:{(226,1),(227,1),(232,1)}
       270:{1,2,4,6}:{(227,1),(228,1),(243,1),(300,1),(307,1),(308,1),(309,1)}
       271:{2,3,6}:{(229,1),(230,1),(305,1),(310,1)}
       272:{1,3,5,7}:{(230,1),(231,1),(232,1),(306,1),(310,1),(311,1)}
       273:{1,2,4,7}:{(231,1),(233,1),(311,1),(312,1)}
       274:{1,2,5}:{(232,1),(233,1)}
       275:{1,2,3,6}:{(233,1),(309,1),(312,1),(313,1)}
       276:{3,5,6}:{(234,1),(235,1),(238,1)}
       277:{2,3,5,7}:{(235,1),(236,1),(245,1),(302,1),(314,1),(315,1)}
       278:{1,3,4,6,7}:{(236,1),(237,1),(240,1),(246,1),(303,1),(315,1),(316,1),(317,1),(323,1),(367,1),(378,1),(405,1)}
       279:{2,6,7}:{(237,1),(241,1)}
       280:{2,3,4,6}:{(238,1),(239,1),(305,1),(314,1),(317,1),(402,1),(421,1)}
       281:{1,3,4,5,7}:{(239,1),(240,1),(242,1),(306,1),(315,1),(317,1),(318,1),(369,1),(378,1),(405,1),(410,1),(423,1)}
       282:{2,4,7}:{(240,1),(241,1),(243,1),(319,1)}
       283:{2,4,5}:{(242,1),(243,1),(320,1)}
       284:{2,3,6}:{(243,1),(309,1),(319,1),(320,1)}
       285:{2,4,5,6}:{(244,1),(245,1),(314,1),(321,1),(421,1)}
       286:{1,4,5,7}:{(245,1),(246,1),(315,1),(321,1),(322,1),(405,1)}
       287:{2,4,6,7}:{(246,1),(247,1),(322,1),(323,1)}
       288:{3,4,6,7}:{(248,1),(324,1),(325,1)}
       289:{2,3,5,6,7}:{(248,1),(249,1),(252,1),(325,1),(326,1),(328,1)}
       290:{1,5,6,7}:{(249,1),(253,1),(337,1)}
       291:{2,4,5,6}:{(250,1),(254,1),(261,1),(327,1),(336,1)}
       292:{3,5,7}:{(250,1),(251,1),(327,1)}
       293:{2,3,4,6,7}:{(251,1),(252,1),(256,1),(263,1),(325,1),(328,1),(329,1),(331,1),(348,1),(394,1)}
       294:{1,3,6,7}:{(252,1),(253,1),(257,1),(330,1)}
       295:{3,4,6}:{(254,1),(255,1),(327,1)}
       296:{2,3,4,5,7}:{(255,1),(256,1),(258,1),(266,1),(328,1),(331,1),(332,1),(350,1),(394,1),(418,1)}
       297:{1,3,4,7}:{(256,1),(257,1),(259,1),(267,1),(333,1),(341,1)}
       298:{2,5,7}:{(257,1),(260,1),(330,1),(333,1)}
       299:{1,3,4,5}:{(258,1),(259,1),(269,1),(334,1),(342,1)}
       300:{2,4,6}:{(259,1),(260,1),(333,1),(334,1),(335,1)}
       301:{1,3,5,6}:{(261,1),(262,1),(265,1),(276,1),(327,1),(336,1)}
       302:{2,5,7}:{(262,1),(263,1),(336,1),(337,1)}
       303:{1,4,6,7}:{(263,1),(264,1),(267,1),(337,1),(339,1)}
       304:{1,2,6,7}:{(264,1),(268,1),(279,1),(330,1),(343,1)}
       305:{2,4,6}:{(265,1),(266,1),(271,1),(336,1),(339,1)}
       306:{1,4,5,7}:{(266,1),(267,1),(269,1),(272,1),(337,1),(339,1)}
       307:{1,2,4,7}:{(267,1),(268,1),(270,1),(282,1),(333,1),(341,1)}
       308:{1,2,4,5}:{(269,1),(270,1),(274,1),(283,1),(334,1),(342,1),(345,1)}
       309:{1,3,6}:{(270,1),(284,1),(335,1),(341,1),(342,1)}
       310:{1,3,6}:{(271,1),(272,1),(339,1),(343,1)}
       311:{1,2,5,7}:{(272,1),(273,1),(274,1),(343,1)}
       312:{1,2,3,7}:{(273,1),(275,1),(341,1)}
       313:{1,2,3,5}:{(274,1),(275,1),(342,1),(345,1)}
       314:{2,3,5,6}:{(276,1),(277,1),(280,1),(285,1),(336,1),(346,1)}
       315:{1,3,5,7}:{(277,1),(278,1),(286,1),(337,1),(346,1),(347,1),(353,1)}
       316:{2,4,6,7}:{(278,1),(279,1),(282,1),(347,1),(348,1),(349,1),(394,1)}
       317:{1,3,4,6}:{(280,1),(281,1),(339,1),(346,1),(349,1),(390,1),(396,1),(416,1)}
       318:{2,4,5,7}:{(281,1),(282,1),(283,1),(347,1),(349,1),(350,1),(394,1),(418,1)}
       319:{2,3,7}:{(282,1),(284,1),(341,1)}
       320:{2,3,5}:{(283,1),(284,1),(342,1),(351,1)}
       321:{1,4,5,6}:{(285,1),(286,1),(346,1),(352,1),(416,1)}
       322:{2,4,5,7}:{(286,1),(287,1),(347,1),(352,1),(353,1),(394,1)}
       323:{3,6,7}:{(287,1),(353,1)}
       324:{3,4,5,7}:{(288,1),(292,1),(354,1),(355,1),(378,1)}
       325:{2,4,6,7}:{(288,1),(289,1),(355,1),(356,1)}
       326:{1,3,5,6,7}:{(289,1),(290,1),(294,1),(356,1),(357,1),(359,1),(399,1)}
       327:{3,5,6}:{(291,1),(292,1),(295,1)}
       328:{2,3,5,7}:{(292,1),(293,1),(302,1),(355,1),(358,1),(359,1)}
       329:{1,3,4,6,7}:{(293,1),(294,1),(297,1),(303,1),(356,1),(359,1),(360,1),(361,1),(367,1),(399,1),(405,1),(420,1)}
       330:{2,6,7}:{(294,1),(298,1)}
       331:{2,3,4,6}:{(295,1),(296,1),(305,1),(358,1),(361,1),(375,1),(408,1)}
       332:{1,3,4,5,7}:{(296,1),(297,1),(299,1),(306,1),(359,1),(361,1),(362,1),(369,1),(405,1),(420,1),(423,1),(426,1)}
       333:{2,4,7}:{(297,1),(298,1),(300,1),(363,1)}
       334:{2,4,5}:{(299,1),(300,1),(364,1)}
       335:{2,3,6}:{(300,1),(309,1),(363,1),(364,1)}
       336:{2,5,6}:{(301,1),(302,1),(305,1),(365,1)}
       337:{1,5,7}:{(302,1),(303,1),(365,1)}
       338:{1,2,4,6,7}:{(303,1),(304,1),(307,1),(316,1),(360,1),(366,1),(367,1),(368,1),(405,1)}
       339:{1,4,6}:{(305,1),(306,1),(310,1),(365,1)}
       340:{1,2,4,5,7}:{(306,1),(307,1),(308,1),(311,1),(318,1),(362,1),(366,1),(368,1),(369,1),(372,1),(405,1),(407,1),(423,1)}
       341:{1,3,7}:{(307,1),(309,1),(319,1),(363,1)}
       342:{1,3,5}:{(308,1),(309,1),(320,1),(364,1),(370,1)}
       343:{1,2,6}:{(310,1),(311,1)}
       344:{1,2,3,5,7}:{(311,1),(312,1),(313,1),(369,1),(371,1),(372,1),(407,1)}
       345:{1,2,4}:{(313,1),(370,1)}
       346:{1,3,5,6}:{(314,1),(315,1),(317,1),(321,1),(365,1),(373,1),(377,1)}
       347:{2,5,7}:{(315,1),(316,1),(373,1)}
       348:{2,3,6,7}:{(316,1),(319,1),(323,1),(367,1),(374,1),(375,1)}
       349:{2,4,6}:{(317,1),(318,1),(373,1),(375,1)}
       350:{2,3,5,7}:{(318,1),(319,1),(320,1),(369,1),(375,1),(376,1),(409,1)}
       351:{2,3,4}:{(320,1),(370,1)}
       352:{2,4,5,6}:{(321,1),(322,1),(373,1),(377,1),(408,1)}
       353:{3,5,7}:{(322,1),(323,1),(377,1),(378,1)}
       354:{3,4,5,6}:{(324,1),(327,1),(379,1),(396,1)}
       355:{2,4,5,7}:{(324,1),(325,1),(328,1),(379,1),(380,1),(394,1)}
       356:{1,4,6,7}:{(325,1),(326,1),(380,1),(381,1)}
       357:{2,5,6,7}:{(326,1),(330,1),(381,1),(383,1)}
       358:{2,3,5,6}:{(327,1),(328,1),(331,1),(336,1),(379,1),(382,1)}
       359:{1,3,5,7}:{(328,1),(329,1),(337,1),(380,1),(382,1),(383,1),(412,1)}
       360:{2,4,6,7}:{(329,1),(330,1),(333,1),(383,1),(384,1),(385,1),(414,1)}
       361:{1,3,4,6}:{(331,1),(332,1),(339,1),(382,1),(385,1),(390,1),(416,1),(424,1)}
       362:{2,4,5,7}:{(332,1),(333,1),(334,1),(383,1),(385,1),(386,1),(414,1),(425,1)}
       363:{2,3,7}:{(333,1),(335,1),(341,1)}
       364:{2,3,5}:{(334,1),(335,1),(342,1),(387,1)}
       365:{1,5,6}:{(336,1),(337,1),(339,1)}
       366:{1,2,5,7}:{(337,1),(338,1),(347,1),(383,1),(388,1),(389,1)}
       367:{1,3,6,7}:{(338,1),(341,1),(348,1),(384,1),(389,1),(390,1)}
       368:{1,2,4,6}:{(339,1),(340,1),(343,1),(349,1),(385,1),(388,1),(390,1),(416,1)}
       369:{1,3,5,7}:{(340,1),(341,1),(342,1),(350,1),(386,1),(390,1),(391,1),(417,1)}
       370:{1,3,4}:{(342,1),(345,1),(351,1),(387,1)}
       371:{1,2,3,6}:{(343,1),(344,1),(390,1),(392,1)}
       372:{1,2,4,7}:{(344,1),(345,1),(391,1),(392,1)}
       373:{2,5,6}:{(346,1),(347,1),(349,1)}
       374:{2,3,5,7}:{(347,1),(348,1),(353,1),(389,1),(393,1),(394,1)}
       375:{2,3,6}:{(349,1),(350,1),(390,1)}
       376:{2,3,4,7}:{(350,1),(351,1),(391,1),(394,1),(395,1)}
       377:{3,5,6}:{(352,1),(353,1),(396,1)}
       378:{3,4,7}:{(353,1),(394,1),(396,1)}
       379:{2,4,5,6}:{(354,1),(355,1),(358,1),(397,1),(408,1)}
       380:{1,4,5,7}:{(355,1),(356,1),(359,1),(397,1),(398,1),(405,1)}
       381:{2,4,6,7}:{(356,1),(357,1),(398,1),(399,1)}
       382:{1,3,5,6}:{(358,1),(359,1),(361,1),(365,1),(397,1),(400,1),(419,1)}
       383:{2,5,7}:{(359,1),(360,1),(400,1)}
       384:{2,3,6,7}:{(360,1),(363,1),(367,1),(399,1),(401,1),(402,1)}
       385:{2,4,6}:{(361,1),(362,1),(400,1),(402,1)}
       386:{2,3,5,7}:{(362,1),(363,1),(364,1),(369,1),(402,1),(403,1),(422,1)}
       387:{2,3,4}:{(364,1),(370,1)}
       388:{1,2,5,6}:{(365,1),(366,1),(368,1),(373,1),(400,1),(404,1),(407,1)}
       389:{1,3,5,7}:{(366,1),(367,1),(374,1),(401,1),(404,1),(405,1)}
       390:{1,3,6}:{(368,1),(369,1),(375,1),(402,1)}
       391:{1,3,4,7}:{(369,1),(370,1),(372,1),(376,1),(403,1),(405,1),(406,1)}
       392:{1,2,4,6}:{(371,1),(372,1),(406,1),(407,1)}
       393:{2,3,5,6}:{(373,1),(374,1),(375,1),(377,1),(404,1),(408,1),(409,1)}
       394:{2,4,7}:{(374,1),(378,1),(405,1),(408,1)}
       395:{2,3,4,6}:{(375,1),(376,1),(406,1),(408,1),(409,1)}
       396:{3,4,6}:{(377,1),(378,1),(408,1),(410,1)}
       397:{1,4,5,6}:{(379,1),(380,1),(382,1),(411,1),(416,1)}
       398:{2,4,5,7}:{(380,1),(381,1),(383,1),(411,1),(412,1),(414,1)}
       399:{3,6,7}:{(381,1),(412,1)}
       400:{2,5,6}:{(382,1),(383,1),(385,1)}
       401:{2,3,5,7}:{(383,1),(384,1),(389,1),(412,1),(413,1),(414,1)}
       402:{2,3,6}:{(385,1),(386,1),(390,1)}
       403:{2,3,4,7}:{(386,1),(387,1),(391,1),(414,1),(415,1)}
       404:{1,3,5,6}:{(388,1),(389,1),(390,1),(393,1),(413,1),(416,1),(417,1)}
       405:{1,4,7}:{(389,1),(394,1),(414,1),(416,1)}
       406:{1,3,4,6}:{(390,1),(391,1),(392,1),(395,1),(415,1),(416,1),(417,1)}
       407:{1,2,5}:{(392,1),(417,1)}
       408:{2,4,6}:{(393,1),(394,1),(396,1),(416,1),(418,1)}
       409:{2,3,5}:{(395,1),(417,1),(418,1)}
       410:{3,4,5}:{(396,1),(418,1)}
       411:{2,4,5,6}:{(397,1),(398,1),(400,1),(419,1),(421,1)}
       412:{3,5,7}:{(398,1),(399,1),(419,1),(420,1)}
       413:{2,3,5,6}:{(400,1),(401,1),(402,1),(404,1),(419,1),(421,1),(422,1)}
       414:{2,4,7}:{(401,1),(405,1),(420,1),(421,1)}
       415:{2,3,4,6}:{(402,1),(403,1),(406,1),(421,1),(422,1)}
       416:{1,4,6}:{(404,1),(405,1),(408,1),(421,1),(423,1)}
       417:{1,3,5}:{(406,1),(407,1),(409,1),(422,1),(423,1)}
       418:{2,4,5}:{(408,1),(409,1),(410,1),(423,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(412,1),(414,1),(424,1)}
       421:{2,4,6}:{(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{2,3,5}:{(415,1),(417,1),(425,1)}
       423:{1,4,5}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,4,6}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,5}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,4,5}:{(424,1),(425,1)}

2555 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(142,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(139,1),(173,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(77,1),(122,1)}
         3:{1,3,4,5}:{(0,1),(9,1),(10,1),(34,1),(93,1),(127,1)}
         4:{3,4,5,7}:{(1,1),(12,1),(13,1),(153,1),(169,1)}
         5:{2,4,5,6}:{(1,1),(7,1),(13,1),(14,1),(122,1),(171,1)}
         6:{2,3,4,5}:{(15,1),(16,1),(23,1),(111,1)}
         7:{2,3,5,6}:{(2,1),(5,1),(19,1),(20,1)}
         8:{2,3,4,7}:{(2,1),(19,1),(21,1),(101,1),(141,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(56,1),(68,1),(105,1)}
        10:{2,4,5}:{(3,1),(22,1),(23,1)}
        11:{4,5,6,7}:{(24,1),(172,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(25,1)}
        13:{2,4,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(141,1),(165,1)}
        14:{1,4,5,6}:{(5,1),(20,1),(26,1),(27,1),(105,1),(167,1)}
        15:{2,3,4,6}:{(6,1),(29,1),(30,1),(31,1),(41,1),(87,1)}
        16:{1,3,4,5}:{(6,1),(31,1),(32,1),(34,1),(127,1),(154,1)}
        17:{1,2,4,5}:{(10,1),(32,1),(33,1),(34,1),(36,1),(84,1),(127,1)}
        18:{1,2,3,5}:{(34,1),(35,1),(36,1),(84,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(13,1),(37,1),(38,1)}
        20:{1,3,5,6}:{(7,1),(9,1),(14,1),(38,1),(39,1),(46,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(38,1),(40,1),(81,1),(92,1),(126,1)}
        22:{2,4,6}:{(9,1),(10,1),(39,1),(40,1),(41,1)}
        23:{2,3,5}:{(10,1),(34,1),(41,1),(42,1)}
        24:{3,5,6,7}:{(11,1),(12,1),(43,1),(169,1)}
        25:{2,4,6,7}:{(12,1),(13,1),(37,1),(43,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(38,1),(44,1),(45,1),(126,1),(158,1)}
        27:{2,4,5,6}:{(14,1),(39,1),(45,1),(46,1),(87,1),(160,1),(161,1)}
        28:{3,4,5,6}:{(47,1),(48,1),(68,1),(150,1)}
        29:{2,3,5,6}:{(15,1),(48,1),(49,1),(50,1)}
        30:{2,3,4,7}:{(15,1),(49,1),(51,1),(63,1),(110,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(50,1),(51,1),(52,1),(56,1),(105,1),(139,1)}
        32:{2,4,5}:{(16,1),(52,1),(53,1)}
        33:{1,2,4,6}:{(17,1),(22,1),(52,1),(54,1),(55,1),(56,1),(105,1)}
        34:{1,3,5}:{(17,1),(23,1),(53,1),(56,1),(57,1)}
        35:{1,2,3,6}:{(18,1),(56,1),(58,1),(59,1)}
        36:{1,2,4}:{(18,1),(57,1)}
        37:{2,3,6,7}:{(19,1),(25,1),(60,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(26,1),(60,1),(61,1),(67,1)}
        39:{2,5,6}:{(20,1),(22,1),(61,1)}
        40:{2,4,7}:{(21,1),(22,1),(61,1),(63,1)}
        41:{2,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        42:{2,3,4}:{(23,1),(57,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(165,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(60,1),(65,1),(66,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(61,1),(66,1),(67,1),(110,1),(147,1),(149,1)}
        46:{3,5,6}:{(27,1),(67,1),(68,1)}
        47:{3,4,5,7}:{(28,1),(70,1),(71,1),(92,1),(134,1)}
        48:{2,4,5,6}:{(28,1),(29,1),(71,1),(72,1),(87,1),(160,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(71,1),(73,1),(74,1)}
        50:{1,3,5,6}:{(29,1),(31,1),(72,1),(74,1),(75,1),(119,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(74,1),(76,1),(81,1),(126,1),(153,1)}
        52:{2,4,6}:{(31,1),(32,1),(75,1),(76,1),(77,1)}
        53:{2,3,5}:{(32,1),(34,1),(77,1),(78,1)}
        54:{1,2,5,6}:{(33,1),(39,1),(75,1),(79,1),(80,1),(84,1),(129,1)}
        55:{1,2,4,7}:{(33,1),(40,1),(76,1),(79,1),(81,1),(126,1)}
        56:{1,3,6}:{(33,1),(34,1),(41,1),(77,1),(81,1)}
        57:{1,3,4}:{(34,1),(36,1),(42,1),(78,1)}
        58:{1,2,3,7}:{(35,1),(81,1),(83,1)}
        59:{1,2,4,6}:{(35,1),(36,1),(82,1),(83,1),(84,1),(129,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(44,1),(85,1),(91,1)}
        61:{2,5,7}:{(38,1),(39,1),(40,1),(85,1)}
        62:{2,3,5,6}:{(39,1),(41,1),(46,1),(80,1),(86,1),(87,1),(89,1),(132,1),(160,1)}
        63:{2,3,7}:{(40,1),(41,1),(81,1)}
        64:{2,3,4,6}:{(41,1),(42,1),(82,1),(87,1),(88,1),(89,1),(132,1)}
        65:{1,5,6,7}:{(43,1),(44,1),(90,1),(158,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(91,1),(133,1)}
        67:{3,5,7}:{(45,1),(46,1),(91,1),(92,1)}
        68:{3,4,6}:{(46,1),(87,1),(92,1),(93,1)}
        69:{4,5,6,7}:{(94,1),(149,1)}
        70:{3,4,6,7}:{(47,1),(94,1),(95,1)}
        71:{2,4,5,7}:{(47,1),(48,1),(49,1),(95,1),(96,1),(110,1),(147,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(96,1),(97,1),(105,1),(167,1)}
        73:{2,3,6,7}:{(49,1),(95,1),(98,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(96,1),(98,1),(99,1),(138,1)}
        75:{2,5,6}:{(50,1),(52,1),(99,1)}
        76:{2,4,7}:{(51,1),(52,1),(99,1),(101,1)}
        77:{2,3,6}:{(52,1),(53,1),(56,1),(101,1)}
        78:{2,3,4}:{(53,1),(57,1)}
        79:{1,2,5,7}:{(54,1),(55,1),(61,1),(99,1),(103,1),(104,1)}
        80:{1,3,5,6}:{(54,1),(56,1),(62,1),(100,1),(104,1),(105,1),(107,1),(146,1),(167,1)}
        81:{1,3,7}:{(55,1),(56,1),(63,1),(101,1)}
        82:{1,3,4,6}:{(56,1),(57,1),(59,1),(64,1),(102,1),(105,1),(106,1),(107,1),(146,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(106,1),(108,1)}
        84:{1,2,5}:{(59,1),(107,1)}
        85:{2,6,7}:{(60,1),(61,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(63,1),(67,1),(104,1),(109,1),(110,1),(147,1)}
        87:{2,4,6}:{(62,1),(68,1),(105,1),(110,1),(111,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(106,1),(110,1),(112,1)}
        89:{2,3,5}:{(64,1),(107,1),(111,1)}
        90:{2,5,6,7}:{(65,1),(66,1),(113,1),(147,1)}
        91:{3,6,7}:{(66,1),(67,1)}
        92:{3,4,7}:{(67,1),(68,1),(110,1)}
        93:{3,4,5}:{(68,1),(111,1)}
        94:{3,5,6,7}:{(69,1),(70,1),(116,1),(134,1)}
        95:{2,4,6,7}:{(70,1),(71,1),(73,1),(116,1),(117,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(126,1),(158,1)}
        97:{2,4,5,6}:{(72,1),(75,1),(118,1),(119,1),(122,1),(171,1),(174,1)}
        98:{1,3,6,7}:{(73,1),(74,1),(117,1),(120,1),(152,1)}
        99:{2,5,7}:{(74,1),(75,1),(76,1),(120,1)}
       100:{2,3,5,6}:{(75,1),(77,1),(80,1),(119,1),(121,1),(122,1),(124,1),(157,1),(171,1)}
       101:{2,3,7}:{(76,1),(77,1),(81,1)}
       102:{2,3,4,6}:{(77,1),(78,1),(82,1),(122,1),(123,1),(124,1),(157,1)}
       103:{1,2,6,7}:{(79,1),(85,1),(120,1),(125,1),(129,1)}
       104:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(121,1),(125,1),(126,1),(158,1)}
       105:{1,4,6}:{(80,1),(87,1),(122,1),(126,1),(127,1)}
       106:{1,3,4,7}:{(81,1),(82,1),(83,1),(88,1),(123,1),(126,1),(128,1)}
       107:{1,3,5}:{(82,1),(84,1),(89,1),(124,1),(127,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(128,1),(129,1)}
       109:{2,3,6,7}:{(85,1),(86,1),(91,1),(125,1),(130,1),(132,1)}
       110:{2,4,7}:{(86,1),(87,1),(92,1),(126,1)}
       111:{2,4,5}:{(87,1),(89,1),(93,1),(127,1)}
       112:{2,3,5,7}:{(88,1),(89,1),(128,1),(131,1),(132,1)}
       113:{3,5,6,7}:{(90,1),(91,1),(133,1),(134,1)}
       114:{3,4,6,7}:{(91,1),(92,1),(130,1),(133,1),(134,1),(135,1)}
       115:{3,4,5,7}:{(92,1),(93,1),(131,1),(134,1),(135,1)}
       116:{2,5,6,7}:{(94,1),(95,1),(136,1),(147,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(136,1),(137,1)}
       118:{2,4,5,7}:{(96,1),(97,1),(99,1),(137,1),(138,1),(141,1),(165,1),(172,1)}
       119:{3,5,6}:{(97,1),(138,1),(139,1)}
       120:{2,6,7}:{(98,1),(99,1)}
       121:{2,3,5,7}:{(99,1),(100,1),(101,1),(104,1),(138,1),(140,1),(141,1),(165,1)}
       122:{2,4,6}:{(100,1),(105,1),(139,1),(141,1),(142,1)}
       123:{2,3,4,7}:{(101,1),(102,1),(106,1),(141,1),(143,1)}
       124:{2,3,5}:{(102,1),(107,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(104,1),(109,1),(140,1),(144,1),(146,1)}
       126:{1,4,7}:{(104,1),(105,1),(110,1),(141,1)}
       127:{1,4,5}:{(105,1),(107,1),(111,1),(142,1)}
       128:{1,3,5,7}:{(106,1),(107,1),(108,1),(112,1),(143,1),(145,1),(146,1)}
       129:{1,2,6}:{(108,1),(146,1)}
       130:{2,4,6,7}:{(109,1),(110,1),(114,1),(144,1),(147,1),(148,1)}
       131:{2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(145,1),(147,1),(148,1)}
       132:{2,3,6}:{(112,1),(146,1),(148,1)}
       133:{4,6,7}:{(113,1),(149,1)}
       134:{3,5,7}:{(114,1),(147,1),(149,1),(150,1)}
       135:{3,4,6}:{(115,1),(148,1),(150,1)}
       136:{1,5,6,7}:{(116,1),(117,1),(151,1),(158,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(120,1),(151,1),(152,1),(168,1)}
       138:{3,5,7}:{(118,1),(119,1),(152,1),(153,1)}
       139:{3,4,6}:{(119,1),(122,1),(153,1),(154,1)}
       140:{2,3,6,7}:{(120,1),(121,1),(125,1),(152,1),(155,1),(157,1)}
       141:{2,4,7}:{(121,1),(122,1),(126,1),(153,1)}
       142:{2,4,5}:{(122,1),(124,1),(127,1),(154,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(128,1),(156,1),(157,1)}
       144:{1,4,6,7}:{(125,1),(126,1),(130,1),(155,1),(158,1),(159,1)}
       145:{1,4,5,7}:{(126,1),(127,1),(128,1),(131,1),(156,1),(158,1),(159,1)}
       146:{1,3,6}:{(128,1),(129,1),(132,1),(157,1),(159,1)}
       147:{2,5,7}:{(130,1),(134,1),(158,1),(160,1)}
       148:{2,4,6}:{(131,1),(132,1),(135,1),(159,1),(160,1)}
       149:{4,5,7}:{(133,1),(134,1),(161,1)}
       150:{3,5,6}:{(134,1),(135,1),(160,1),(161,1)}
       151:{2,5,6,7}:{(136,1),(137,1),(162,1),(165,1)}
       152:{3,6,7}:{(137,1),(138,1)}
       153:{3,4,7}:{(138,1),(139,1),(141,1)}
       154:{3,4,5}:{(139,1),(142,1)}
       155:{2,4,6,7}:{(140,1),(141,1),(144,1),(163,1),(165,1),(166,1)}
       156:{2,4,5,7}:{(141,1),(142,1),(143,1),(145,1),(164,1),(165,1),(166,1)}
       157:{2,3,6}:{(143,1),(146,1),(166,1)}
       158:{1,5,7}:{(144,1),(147,1),(165,1),(167,1)}
       159:{1,4,6}:{(145,1),(146,1),(148,1),(166,1),(167,1)}
       160:{2,5,6}:{(147,1),(148,1),(150,1),(167,1)}
       161:{4,5,6}:{(149,1),(150,1)}
       162:{3,5,6,7}:{(151,1),(152,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(170,1)}
       164:{3,4,5,7}:{(153,1),(154,1),(156,1),(169,1),(170,1)}
       165:{2,5,7}:{(155,1),(158,1),(169,1),(171,1)}
       166:{2,4,6}:{(156,1),(157,1),(159,1),(170,1),(171,1)}
       167:{1,5,6}:{(158,1),(159,1),(160,1),(171,1)}
       168:{4,6,7}:{(162,1),(172,1)}
       169:{3,5,7}:{(163,1),(165,1),(172,1),(173,1)}
       170:{3,4,6}:{(164,1),(166,1),(173,1)}
       171:{2,5,6}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2556 :   0:{2,3,4,5}:{(3,1),(4,1),(63,1),(112,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(148,1),(168,1)}
         2:{1,2,3,5}:{(8,1),(9,1),(41,1),(43,1)}
         3:{1,3,4,5}:{(0,1),(12,1),(13,1),(43,1),(52,1),(93,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(13,1),(14,1),(91,1),(135,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(15,1),(16,1),(135,1),(165,1)}
         6:{3,4,5,7}:{(1,1),(16,1),(17,1),(160,1),(171,1)}
         7:{2,3,4,5}:{(18,1),(19,1),(27,1),(72,1)}
         8:{1,2,3,6}:{(2,1),(20,1),(21,1),(70,1)}
         9:{1,2,4}:{(2,1),(22,1)}
        10:{2,3,5,6}:{(4,1),(5,1),(25,1),(26,1)}
        11:{2,3,4}:{(22,1),(27,1)}
        12:{2,4,5}:{(3,1),(27,1),(28,1)}
        13:{1,3,4,6}:{(3,1),(4,1),(25,1),(28,1),(29,1),(70,1),(78,1),(118,1)}
        14:{2,3,4,7}:{(4,1),(26,1),(29,1),(117,1),(153,1)}
        15:{1,4,5,6}:{(5,1),(25,1),(30,1),(31,1),(118,1),(157,1)}
        16:{2,4,5,7}:{(5,1),(6,1),(26,1),(31,1),(32,1),(153,1),(170,1)}
        17:{3,4,6,7}:{(6,1),(32,1),(33,1)}
        18:{1,3,4,5}:{(7,1),(37,1),(38,1),(43,1),(93,1),(129,1)}
        19:{2,3,4,6}:{(7,1),(35,1),(38,1),(39,1),(50,1),(99,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(40,1),(41,1),(42,1),(97,1)}
        21:{1,2,3,7}:{(8,1),(42,1),(98,1)}
        22:{1,3,4}:{(9,1),(11,1),(36,1),(43,1)}
        23:{1,2,4,5}:{(9,1),(12,1),(37,1),(41,1),(43,1),(44,1),(93,1)}
        24:{2,3,4,6}:{(11,1),(40,1),(45,1),(46,1),(50,1),(99,1),(102,1)}
        25:{1,3,5,6}:{(10,1),(13,1),(15,1),(47,1),(48,1),(53,1)}
        26:{2,3,5,7}:{(10,1),(14,1),(16,1),(48,1),(49,1)}
        27:{2,3,5}:{(11,1),(12,1),(43,1),(50,1)}
        28:{2,4,6}:{(12,1),(13,1),(47,1),(50,1),(51,1)}
        29:{1,3,4,7}:{(13,1),(14,1),(48,1),(51,1),(98,1),(104,1),(140,1)}
        30:{2,4,5,6}:{(15,1),(47,1),(53,1),(54,1),(99,1),(144,1),(146,1)}
        31:{1,4,5,7}:{(15,1),(16,1),(48,1),(54,1),(55,1),(140,1),(166,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(49,1),(55,1),(56,1)}
        33:{3,5,6,7}:{(17,1),(56,1),(57,1),(171,1)}
        34:{3,4,5,6}:{(58,1),(59,1),(78,1),(127,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(61,1),(62,1)}
        36:{2,3,4}:{(22,1),(63,1)}
        37:{2,4,5}:{(18,1),(63,1),(64,1)}
        38:{1,3,4,6}:{(18,1),(19,1),(61,1),(64,1),(65,1),(70,1),(118,1),(148,1)}
        39:{2,3,4,7}:{(19,1),(62,1),(65,1),(77,1),(123,1)}
        40:{1,3,4,6}:{(20,1),(22,1),(24,1),(60,1),(66,1),(67,1),(70,1),(118,1),(121,1)}
        41:{1,2,5}:{(20,1),(66,1)}
        42:{1,2,4,7}:{(20,1),(21,1),(67,1),(69,1)}
        43:{1,3,5}:{(22,1),(23,1),(27,1),(63,1),(70,1)}
        44:{1,2,4,6}:{(23,1),(28,1),(64,1),(68,1),(70,1),(71,1),(118,1)}
        45:{2,3,5}:{(24,1),(66,1),(72,1)}
        46:{2,3,4,7}:{(24,1),(67,1),(74,1),(77,1),(123,1)}
        47:{2,5,6}:{(25,1),(28,1),(75,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(31,1),(75,1),(76,1),(80,1)}
        49:{2,3,6,7}:{(26,1),(32,1),(76,1)}
        50:{2,3,6}:{(27,1),(28,1),(70,1),(77,1)}
        51:{2,4,7}:{(28,1),(29,1),(75,1),(77,1)}
        52:{3,4,5}:{(72,1),(78,1)}
        53:{3,5,6}:{(30,1),(78,1),(80,1)}
        54:{2,4,5,7}:{(30,1),(31,1),(75,1),(80,1),(81,1),(123,1),(158,1),(159,1)}
        55:{1,4,6,7}:{(31,1),(32,1),(76,1),(81,1),(82,1)}
        56:{2,5,6,7}:{(32,1),(33,1),(82,1),(170,1)}
        57:{4,5,6,7}:{(33,1),(174,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(83,1),(84,1),(99,1),(144,1)}
        59:{3,4,5,7}:{(34,1),(84,1),(85,1),(104,1),(145,1)}
        60:{2,3,4,6}:{(36,1),(40,1),(86,1),(87,1),(91,1),(135,1),(138,1)}
        61:{1,3,5,6}:{(35,1),(38,1),(83,1),(88,1),(89,1),(130,1)}
        62:{2,3,5,7}:{(35,1),(39,1),(84,1),(89,1),(90,1)}
        63:{2,3,5}:{(36,1),(37,1),(43,1),(91,1)}
        64:{2,4,6}:{(37,1),(38,1),(88,1),(91,1),(92,1)}
        65:{1,3,4,7}:{(38,1),(39,1),(89,1),(92,1),(98,1),(140,1),(160,1)}
        66:{1,3,5}:{(40,1),(41,1),(45,1),(86,1),(93,1)}
        67:{1,3,4,7}:{(40,1),(42,1),(46,1),(87,1),(95,1),(98,1),(140,1)}
        68:{1,2,5,6}:{(41,1),(44,1),(47,1),(88,1),(94,1),(96,1),(97,1)}
        69:{1,2,5,7}:{(41,1),(42,1),(95,1),(97,1)}
        70:{1,3,6}:{(43,1),(44,1),(50,1),(91,1),(98,1)}
        71:{1,2,4,7}:{(44,1),(51,1),(92,1),(96,1),(98,1),(140,1)}
        72:{2,4,5}:{(45,1),(52,1),(93,1),(99,1)}
        73:{2,3,5,6}:{(45,1),(47,1),(50,1),(53,1),(94,1),(99,1),(101,1),(102,1),(144,1)}
        74:{2,3,5,7}:{(45,1),(46,1),(95,1),(100,1),(102,1)}
        75:{2,5,7}:{(47,1),(48,1),(51,1),(103,1)}
        76:{1,3,6,7}:{(48,1),(49,1),(55,1),(103,1),(106,1)}
        77:{2,3,7}:{(50,1),(51,1),(98,1)}
        78:{3,4,6}:{(52,1),(53,1),(99,1),(104,1)}
        79:{3,4,5,7}:{(52,1),(100,1),(104,1),(105,1),(145,1)}
        80:{3,5,7}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,6,7}:{(54,1),(55,1),(103,1),(106,1),(107,1),(147,1)}
        82:{1,5,6,7}:{(55,1),(56,1),(107,1),(166,1)}
        83:{1,4,5,6}:{(58,1),(61,1),(108,1),(109,1),(118,1),(157,1)}
        84:{2,4,5,7}:{(58,1),(59,1),(62,1),(109,1),(110,1),(123,1),(158,1)}
        85:{3,4,6,7}:{(59,1),(110,1),(111,1)}
        86:{2,3,5}:{(60,1),(66,1),(112,1)}
        87:{2,3,4,7}:{(60,1),(67,1),(114,1),(117,1),(153,1)}
        88:{2,5,6}:{(61,1),(64,1),(115,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(109,1),(115,1),(116,1),(150,1)}
        90:{2,3,6,7}:{(62,1),(110,1),(116,1)}
        91:{2,3,6}:{(63,1),(64,1),(70,1),(117,1)}
        92:{2,4,7}:{(64,1),(65,1),(115,1),(117,1)}
        93:{1,4,5}:{(66,1),(72,1),(112,1),(118,1)}
        94:{1,3,5,6}:{(66,1),(68,1),(70,1),(73,1),(113,1),(118,1),(120,1),(121,1),(157,1)}
        95:{1,3,5,7}:{(66,1),(67,1),(69,1),(74,1),(114,1),(119,1),(121,1)}
        96:{1,2,5,7}:{(68,1),(71,1),(75,1),(115,1),(120,1),(122,1)}
        97:{1,2,6}:{(69,1),(121,1)}
        98:{1,3,7}:{(70,1),(71,1),(77,1),(117,1)}
        99:{2,4,6}:{(72,1),(73,1),(78,1),(118,1),(123,1)}
       100:{2,4,5,7}:{(72,1),(74,1),(79,1),(119,1),(123,1),(124,1),(158,1)}
       101:{2,3,5,7}:{(73,1),(75,1),(77,1),(80,1),(120,1),(123,1),(125,1),(158,1)}
       102:{2,3,6}:{(74,1),(121,1),(124,1)}
       103:{2,6,7}:{(75,1),(76,1)}
       104:{3,4,7}:{(78,1),(80,1),(123,1)}
       105:{3,4,6}:{(79,1),(124,1),(127,1)}
       106:{3,6,7}:{(80,1),(81,1)}
       107:{2,5,6,7}:{(81,1),(82,1),(128,1),(158,1)}
       108:{2,4,5,6}:{(83,1),(88,1),(130,1),(131,1),(135,1),(165,1),(172,1)}
       109:{1,4,5,7}:{(83,1),(84,1),(89,1),(131,1),(132,1),(140,1),(166,1)}
       110:{2,4,6,7}:{(84,1),(85,1),(90,1),(132,1),(133,1)}
       111:{3,5,6,7}:{(85,1),(133,1),(134,1),(145,1)}
       112:{2,4,5}:{(86,1),(93,1),(129,1),(135,1)}
       113:{2,3,5,6}:{(86,1),(88,1),(91,1),(94,1),(130,1),(135,1),(137,1),(138,1),(165,1)}
       114:{2,3,5,7}:{(86,1),(87,1),(95,1),(136,1),(138,1)}
       115:{2,5,7}:{(88,1),(89,1),(92,1),(139,1)}
       116:{1,3,6,7}:{(89,1),(90,1),(132,1),(139,1),(162,1)}
       117:{2,3,7}:{(91,1),(92,1),(98,1)}
       118:{1,4,6}:{(93,1),(94,1),(99,1),(135,1),(140,1)}
       119:{1,4,5,7}:{(93,1),(95,1),(100,1),(136,1),(140,1),(141,1),(166,1)}
       120:{1,3,5,7}:{(94,1),(96,1),(98,1),(101,1),(137,1),(140,1),(142,1),(166,1)}
       121:{1,3,6}:{(95,1),(97,1),(102,1),(138,1),(141,1)}
       122:{1,2,6,7}:{(96,1),(97,1),(103,1),(139,1),(142,1)}
       123:{2,4,7}:{(99,1),(101,1),(104,1),(140,1)}
       124:{2,4,6}:{(100,1),(102,1),(105,1),(141,1),(144,1)}
       125:{2,3,6,7}:{(101,1),(102,1),(103,1),(106,1),(142,1),(143,1)}
       126:{3,4,6,7}:{(104,1),(105,1),(106,1),(143,1),(145,1),(147,1)}
       127:{3,5,6}:{(105,1),(144,1),(145,1),(146,1)}
       128:{3,5,6,7}:{(106,1),(107,1),(145,1),(147,1)}
       129:{3,4,5}:{(112,1),(148,1)}
       130:{3,5,6}:{(108,1),(148,1),(150,1)}
       131:{2,4,5,7}:{(108,1),(109,1),(115,1),(150,1),(151,1),(153,1),(170,1),(174,1)}
       132:{1,4,6,7}:{(109,1),(110,1),(116,1),(151,1),(152,1)}
       133:{2,5,6,7}:{(110,1),(111,1),(152,1),(158,1)}
       134:{4,5,6,7}:{(111,1),(159,1)}
       135:{2,4,6}:{(112,1),(113,1),(118,1),(148,1),(153,1)}
       136:{2,4,5,7}:{(112,1),(114,1),(119,1),(149,1),(153,1),(154,1),(170,1)}
       137:{2,3,5,7}:{(113,1),(115,1),(117,1),(120,1),(150,1),(153,1),(155,1),(170,1)}
       138:{2,3,6}:{(114,1),(121,1),(154,1)}
       139:{2,6,7}:{(115,1),(116,1)}
       140:{1,4,7}:{(118,1),(120,1),(123,1),(153,1)}
       141:{1,4,6}:{(119,1),(121,1),(124,1),(154,1),(157,1)}
       142:{1,3,6,7}:{(120,1),(121,1),(122,1),(125,1),(155,1),(156,1)}
       143:{2,4,6,7}:{(123,1),(124,1),(125,1),(126,1),(156,1),(158,1)}
       144:{2,5,6}:{(124,1),(127,1),(157,1),(158,1)}
       145:{3,5,7}:{(126,1),(127,1),(158,1),(159,1)}
       146:{4,5,6}:{(127,1),(159,1)}
       147:{4,6,7}:{(128,1),(159,1)}
       148:{3,4,6}:{(129,1),(130,1),(135,1),(160,1)}
       149:{3,4,5,7}:{(129,1),(136,1),(160,1),(161,1),(171,1)}
       150:{3,5,7}:{(130,1),(131,1),(160,1),(162,1)}
       151:{2,4,6,7}:{(131,1),(132,1),(139,1),(162,1),(163,1),(173,1)}
       152:{1,5,6,7}:{(132,1),(133,1),(163,1),(166,1)}
       153:{2,4,7}:{(135,1),(137,1),(140,1),(160,1)}
       154:{2,4,6}:{(136,1),(138,1),(141,1),(161,1),(165,1)}
       155:{2,3,6,7}:{(137,1),(138,1),(139,1),(142,1),(162,1),(164,1)}
       156:{1,4,6,7}:{(140,1),(141,1),(142,1),(143,1),(164,1),(166,1)}
       157:{1,5,6}:{(141,1),(144,1),(165,1),(166,1)}
       158:{2,5,7}:{(143,1),(144,1),(145,1),(166,1)}
       159:{4,5,7}:{(145,1),(146,1),(147,1)}
       160:{3,4,7}:{(148,1),(150,1),(153,1)}
       161:{3,4,6}:{(149,1),(154,1),(168,1)}
       162:{3,6,7}:{(150,1),(151,1)}
       163:{2,5,6,7}:{(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,6,7}:{(153,1),(154,1),(155,1),(156,1),(167,1),(170,1)}
       165:{2,5,6}:{(154,1),(157,1),(168,1),(170,1)}
       166:{1,5,7}:{(156,1),(157,1),(158,1),(170,1)}
       167:{3,4,6,7}:{(160,1),(161,1),(162,1),(164,1),(171,1),(173,1)}
       168:{3,5,6}:{(161,1),(165,1),(171,1),(172,1)}
       169:{3,5,6,7}:{(162,1),(163,1),(171,1),(173,1)}
       170:{2,5,7}:{(164,1),(165,1),(166,1),(171,1)}
       171:{3,5,7}:{(167,1),(168,1),(170,1),(174,1)}
       172:{4,5,6}:{(168,1),(174,1)}
       173:{4,6,7}:{(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2557 :   0:{2,3,4,5,7}:{(3,1),(4,1),(32,1),(77,1),(79,1),(174,1),(175,1),(207,1),(213,1),(283,1)}
         1:{2,4,5,6,7}:{(6,1),(7,1),(41,1),(42,1),(208,1),(312,1)}
         2:{1,2,3,5,7}:{(8,1),(9,1),(50,1),(51,1),(66,1),(119,1),(158,1)}
         3:{1,3,4,5,7}:{(0,1),(13,1),(14,1),(51,1),(57,1),(120,1),(132,1),(137,1),(227,1),(241,1),(244,1),(265,1)}
         4:{2,3,4,6}:{(0,1),(11,1),(14,1),(124,1),(229,1),(261,1),(268,1)}
         5:{1,2,3,6,7}:{(8,1),(17,1),(18,1),(66,1),(136,1),(144,1),(162,1),(267,1),(269,1),(348,1)}
         6:{1,4,5,6,7}:{(1,1),(16,1),(19,1),(72,1),(73,1),(153,1),(272,1)}
         7:{3,5,6,7}:{(1,1),(20,1),(262,1),(351,1)}
         8:{1,2,3,6}:{(2,1),(25,1),(89,1),(212,1)}
         9:{1,2,4,7}:{(2,1),(25,1),(26,1),(170,1)}
        10:{3,4,5,6}:{(28,1),(29,1),(281,1),(310,1)}
        11:{2,3,5,6}:{(4,1),(28,1),(31,1),(32,1),(310,1),(315,1)}
        12:{2,3,4,7}:{(26,1),(30,1),(33,1),(171,1),(194,1)}
        13:{2,4,5,7}:{(3,1),(33,1),(34,1),(93,1),(95,1),(172,1),(194,1),(280,1)}
        14:{1,3,4,6}:{(3,1),(4,1),(31,1),(34,1),(89,1),(187,1),(191,1),(313,1)}
        15:{2,3,4,6,7}:{(4,1),(32,1),(35,1),(42,1),(108,1),(174,1),(178,1),(283,1),(311,1),(316,1)}
        16:{2,4,5,6,7}:{(6,1),(36,1),(41,1),(103,1),(116,1),(222,1)}
        17:{1,2,3,5,7}:{(5,1),(23,1),(37,1),(40,1),(109,1),(188,1),(287,1),(289,1),(360,1),(372,1)}
        18:{1,2,4,6,7}:{(5,1),(25,1),(37,1),(39,1),(40,1),(106,1),(110,1),(196,1),(212,1),(316,1)}
        19:{1,3,5,6,7}:{(6,1),(7,1),(36,1),(38,1),(41,1),(317,1)}
        20:{3,4,6,7}:{(7,1),(29,1),(42,1)}
        21:{2,3,4,6,7}:{(30,1),(39,1),(43,1),(97,1),(107,1),(117,1),(194,1),(214,1),(221,1),(296,1),(316,1),(377,1),(411,1)}
        22:{2,3,5,6,7}:{(7,1),(32,1),(41,1),(42,1),(44,1),(108,1)}
        23:{1,2,3,5,6}:{(8,1),(17,1),(46,1),(50,1),(71,1),(119,1),(129,1),(133,1),(144,1),(162,1),(234,1),(236,1),(248,1),(322,1),(339,1)}
        24:{1,3,4,5,6}:{(10,1),(47,1),(48,1),(53,1),(61,1),(127,1),(138,1),(146,1),(238,1),(253,1),(270,1)}
        25:{1,2,4,6}:{(8,1),(9,1),(49,1),(50,1)}
        26:{1,3,4,7}:{(9,1),(12,1),(45,1),(49,1),(51,1),(223,1),(241,1)}
        27:{1,2,4,5,7}:{(9,1),(13,1),(50,1),(51,1),(52,1),(123,1),(132,1),(134,1),(158,1),(224,1),(241,1),(265,1),(323,1)}
        28:{2,4,5,6}:{(10,1),(11,1),(53,1),(54,1),(229,1)}
        29:{3,4,5,7}:{(10,1),(20,1),(54,1),(327,1),(351,1)}
        30:{2,3,4,6}:{(12,1),(49,1),(55,1),(59,1),(140,1)}
        31:{1,3,5,6}:{(11,1),(14,1),(53,1),(56,1),(57,1),(138,1),(353,1)}
        32:{2,3,5,7}:{(11,1),(15,1),(54,1),(57,1),(351,1),(355,1)}
        33:{2,3,5,7}:{(12,1),(13,1),(51,1),(55,1),(59,1),(225,1),(325,1)}
        34:{2,4,6}:{(13,1),(14,1),(56,1),(59,1)}
        35:{1,3,4,6,7}:{(14,1),(15,1),(57,1),(60,1),(73,1),(136,1),(160,1),(167,1),(227,1),(241,1),(244,1),(354,1)}
        36:{3,5,6,7}:{(16,1),(63,1),(167,1),(273,1)}
        37:{1,2,4,7}:{(17,1),(46,1),(67,1),(241,1),(333,1),(396,1)}
        38:{1,3,4,6,7}:{(19,1),(20,1),(48,1),(63,1),(69,1),(73,1),(153,1),(160,1),(167,1),(262,1)}
        39:{1,3,4,6,7}:{(18,1),(21,1),(49,1),(64,1),(67,1),(70,1),(136,1),(157,1),(162,1),(164,1),(241,1),(247,1),(266,1),(348,1),(354,1),(396,1)}
        40:{1,2,5,7}:{(18,1),(50,1),(70,1),(71,1),(248,1),(355,1)}
        41:{2,5,6,7}:{(19,1),(69,1),(72,1),(355,1)}
        42:{2,4,6,7}:{(20,1),(22,1),(54,1),(73,1)}
        43:{2,3,5,7}:{(21,1),(55,1),(70,1),(74,1),(75,1),(273,1),(337,1),(355,1)}
        44:{1,3,5,6,7}:{(22,1),(57,1),(72,1),(73,1),(76,1),(160,1),(167,1)}
        45:{2,3,4,7}:{(26,1),(78,1),(79,1),(275,1),(283,1)}
        46:{1,2,4,6}:{(23,1),(37,1),(82,1),(83,1),(170,1),(187,1),(288,1),(371,1)}
        47:{2,4,5,6}:{(24,1),(81,1),(84,1),(85,1),(182,1),(288,1),(315,1)}
        48:{1,3,4,5,7}:{(24,1),(29,1),(38,1),(85,1),(92,1),(99,1),(183,1),(192,1),(201,1),(291,1),(303,1),(317,1)}
        49:{1,3,4,6}:{(25,1),(26,1),(30,1),(78,1),(86,1),(89,1),(187,1)}
        50:{1,2,5}:{(25,1),(86,1)}
        51:{1,3,5,7}:{(26,1),(27,1),(33,1),(79,1),(86,1),(89,1),(276,1),(360,1)}
        52:{1,2,4,6}:{(27,1),(34,1),(87,1),(89,1),(177,1),(187,1),(212,1),(313,1)}
        53:{1,4,5,6}:{(28,1),(31,1),(91,1),(92,1),(187,1)}
        54:{2,4,5,7}:{(28,1),(29,1),(32,1),(42,1),(92,1),(283,1)}
        55:{2,3,5}:{(30,1),(86,1),(93,1)}
        56:{2,5,6}:{(31,1),(34,1),(95,1)}
        57:{1,3,5,7}:{(31,1),(32,1),(35,1),(92,1),(95,1),(192,1),(382,1)}
        58:{2,3,4,5,7}:{(33,1),(88,1),(93,1),(96,1),(115,1),(194,1),(195,1),(213,1),(278,1),(362,1)}
        59:{2,3,6}:{(33,1),(34,1),(89,1)}
        60:{2,4,6,7}:{(34,1),(35,1),(95,1),(97,1),(194,1),(215,1),(280,1)}
        61:{3,4,5,6}:{(98,1),(99,1),(220,1),(409,1)}
        62:{2,3,4,5,7}:{(77,1),(101,1),(102,1),(115,1),(174,1),(199,1),(213,1),(304,1),(369,1),(411,1)}
        63:{3,4,6,7}:{(36,1),(99,1),(103,1)}
        64:{2,3,4,6,7}:{(39,1),(78,1),(104,1),(107,1),(178,1),(197,1),(209,1),(214,1),(283,1),(309,1),(311,1),(316,1),(374,1)}
        65:{2,3,5,6,7}:{(36,1),(41,1),(103,1),(105,1),(108,1),(199,1)}
        66:{1,2,3,7}:{(80,1),(106,1),(360,1)}
        67:{1,3,4,7}:{(37,1),(82,1),(107,1),(109,1),(360,1)}
        68:{1,2,4,5,7}:{(37,1),(40,1),(83,1),(109,1),(110,1),(112,1),(213,1)}
        69:{2,4,6,7}:{(38,1),(41,1),(85,1),(108,1),(111,1),(215,1)}
        70:{1,3,5,7}:{(39,1),(40,1),(43,1),(86,1),(104,1),(112,1),(113,1),(297,1),(382,1)}
        71:{1,2,5,6}:{(40,1),(110,1),(113,1),(212,1),(315,1)}
        72:{1,5,6,7}:{(41,1),(111,1),(382,1)}
        73:{1,4,6,7}:{(42,1),(44,1),(92,1),(116,1)}
        74:{2,4,5,7}:{(43,1),(93,1),(112,1),(115,1),(117,1),(194,1),(369,1),(411,1)}
        75:{2,3,5,6}:{(43,1),(113,1),(117,1),(214,1),(220,1),(315,1)}
        76:{2,5,6,7}:{(44,1),(95,1),(116,1),(215,1)}
        77:{2,3,4,5}:{(120,1),(121,1),(137,1),(235,1),(252,1),(320,1)}
        78:{2,3,4,6}:{(45,1),(49,1),(122,1),(124,1),(229,1)}
        79:{2,3,5,7}:{(45,1),(51,1),(122,1),(123,1),(124,1),(320,1),(385,1)}
        80:{1,2,3,6}:{(66,1),(119,1),(125,1),(322,1)}
        81:{2,3,5,6}:{(47,1),(121,1),(127,1),(128,1),(138,1),(253,1)}
        82:{1,3,4,6}:{(46,1),(67,1),(126,1),(129,1),(162,1),(223,1),(322,1)}
        83:{1,2,4,5}:{(46,1),(50,1),(129,1),(132,1),(235,1),(248,1),(338,1)}
        84:{1,4,5,6}:{(47,1),(127,1),(131,1),(330,1),(353,1)}
        85:{2,4,5,7}:{(47,1),(48,1),(69,1),(128,1),(131,1),(237,1),(333,1),(355,1)}
        86:{1,3,5}:{(49,1),(50,1),(55,1),(122,1),(132,1)}
        87:{1,2,5,6}:{(50,1),(52,1),(56,1),(133,1),(134,1),(231,1),(353,1)}
        88:{1,3,4,5,7}:{(51,1),(58,1),(123,1),(132,1),(135,1),(228,1),(241,1),(242,1),(265,1),(321,1),(327,1),(387,1)}
        89:{1,3,6}:{(51,1),(52,1),(59,1),(124,1)}
        90:{1,2,4,6,7}:{(52,1),(60,1),(134,1),(136,1),(232,1),(241,1),(267,1),(323,1),(354,1)}
        91:{2,4,5,6}:{(53,1),(56,1),(138,1),(139,1),(140,1)}
        92:{1,4,5,7}:{(53,1),(54,1),(57,1),(73,1),(139,1),(241,1)}
        93:{2,4,5}:{(55,1),(132,1),(137,1),(140,1)}
        94:{2,3,5,6}:{(55,1),(56,1),(59,1),(133,1),(138,1),(140,1),(141,1)}
        95:{2,5,7}:{(56,1),(57,1),(60,1)}
        96:{2,3,4,6}:{(58,1),(59,1),(135,1),(140,1),(142,1),(166,1),(268,1)}
        97:{2,3,6,7}:{(59,1),(60,1),(136,1),(141,1),(167,1),(325,1)}
        98:{2,4,5,6}:{(61,1),(145,1),(146,1),(147,1),(393,1)}
        99:{3,4,5,7}:{(61,1),(63,1),(147,1),(273,1),(419,1)}
       100:{1,2,3,5,7}:{(66,1),(119,1),(144,1),(148,1),(158,1),(248,1),(256,1)}
       101:{1,3,4,5,7}:{(62,1),(120,1),(150,1),(151,1),(227,1),(251,1),(252,1),(256,1),(265,1),(338,1),(344,1),(396,1)}
       102:{2,3,4,6}:{(62,1),(145,1),(151,1),(166,1),(268,1),(346,1),(393,1)}
       103:{2,4,6,7}:{(63,1),(65,1),(147,1),(153,1)}
       104:{2,3,5,7}:{(64,1),(70,1),(122,1),(154,1),(155,1),(249,1),(351,1),(355,1)}
       105:{1,3,5,6,7}:{(65,1),(72,1),(153,1),(156,1),(160,1),(251,1),(262,1)}
       106:{1,2,4,7}:{(66,1),(125,1),(157,1),(158,1)}
       107:{2,3,4,7}:{(67,1),(126,1),(157,1),(159,1),(325,1),(333,1),(385,1)}
       108:{2,3,6,7}:{(69,1),(128,1),(160,1),(167,1),(262,1)}
       109:{1,3,5,7}:{(67,1),(68,1),(129,1),(159,1),(162,1)}
       110:{1,2,4,6}:{(68,1),(71,1),(162,1),(164,1),(268,1)}
       111:{1,4,6,7}:{(69,1),(72,1),(131,1),(160,1)}
       112:{1,4,5,7}:{(70,1),(74,1),(132,1),(154,1),(164,1),(241,1),(338,1),(396,1)}
       113:{1,3,5,6}:{(70,1),(71,1),(75,1),(155,1),(162,1),(164,1),(266,1),(353,1)}
       114:{1,2,5,6,7}:{(71,1),(72,1),(76,1),(134,1),(156,1),(163,1),(165,1),(267,1),(329,1),(340,1),(355,1),(403,1),(422,1)}
       115:{3,4,5,7}:{(74,1),(137,1),(166,1),(244,1),(273,1),(392,1),(419,1)}
       116:{2,4,6,7}:{(73,1),(76,1),(139,1),(167,1)}
       117:{2,4,6}:{(74,1),(75,1),(164,1),(166,1)}
       118:{2,3,5,6,7}:{(75,1),(76,1),(141,1),(165,1),(167,1),(169,1),(269,1),(273,1),(355,1),(394,1),(422,1),(426,1)}
       119:{1,2,3,5}:{(80,1),(170,1),(180,1),(276,1)}
       120:{1,3,4,5}:{(77,1),(172,1),(173,1),(276,1),(285,1)}
       121:{2,3,4,6}:{(77,1),(81,1),(173,1),(174,1),(191,1),(288,1),(302,1),(358,1)}
       122:{2,3,5}:{(78,1),(86,1),(175,1)}
       123:{2,4,5,7}:{(79,1),(88,1),(175,1),(177,1),(283,1),(284,1),(357,1),(405,1)}
       124:{2,3,6}:{(79,1),(89,1),(177,1)}
       125:{1,2,4,6}:{(80,1),(106,1),(170,1),(179,1),(180,1),(212,1)}
       126:{2,3,4,6}:{(82,1),(107,1),(171,1),(179,1),(181,1),(214,1),(275,1),(279,1),(288,1),(358,1)}
       127:{1,3,5,6}:{(81,1),(84,1),(173,1),(182,1),(183,1)}
       128:{2,3,5,7}:{(81,1),(85,1),(108,1),(174,1),(183,1),(192,1),(303,1)}
       129:{1,3,5}:{(82,1),(83,1),(181,1)}
       130:{1,2,4,5,6}:{(83,1),(84,1),(87,1),(91,1),(110,1),(182,1),(185,1),(186,1),(187,1),(200,1),(218,1),(277,1),(282,1),(288,1),(298,1),(315,1),(365,1),(371,1),(404,1),(410,1)}
       131:{1,4,5,7}:{(84,1),(85,1),(111,1),(183,1),(366,1),(382,1)}
       132:{1,4,5}:{(86,1),(93,1),(175,1),(187,1)}
       133:{1,3,5,6}:{(86,1),(87,1),(89,1),(94,1),(176,1),(187,1),(188,1)}
       134:{1,2,5,7}:{(87,1),(90,1),(95,1),(188,1),(284,1),(382,1)}
       135:{1,3,4,6}:{(88,1),(89,1),(96,1),(177,1),(187,1),(189,1),(281,1),(313,1)}
       136:{1,3,6,7}:{(89,1),(90,1),(97,1),(178,1),(188,1),(360,1)}
       137:{3,4,5}:{(93,1),(191,1)}
       138:{3,5,6}:{(91,1),(191,1),(192,1)}
       139:{2,4,5,7}:{(91,1),(92,1),(95,1),(116,1),(192,1),(194,1)}
       140:{2,4,6}:{(93,1),(94,1),(187,1),(191,1),(194,1)}
       141:{2,3,5,7}:{(94,1),(95,1),(97,1),(188,1),(192,1),(194,1)}
       142:{2,3,5,6}:{(96,1),(189,1),(193,1),(195,1),(220,1),(315,1)}
       143:{2,3,4,6,7}:{(96,1),(97,1),(190,1),(194,1),(195,1),(221,1),(295,1),(316,1),(362,1),(407,1)}
       144:{1,2,3,6}:{(100,1),(196,1),(212,1),(306,1)}
       145:{2,3,5,6}:{(98,1),(102,1),(198,1),(199,1),(220,1),(315,1)}
       146:{1,4,5,6}:{(98,1),(198,1),(200,1),(201,1),(371,1)}
       147:{2,4,5,7}:{(98,1),(99,1),(103,1),(199,1),(201,1),(411,1)}
       148:{1,2,4,7}:{(100,1),(170,1),(196,1),(202,1)}
       149:{2,3,4,7}:{(171,1),(197,1),(202,1),(204,1),(374,1)}
       150:{2,4,5,7}:{(101,1),(172,1),(204,1),(205,1),(280,1),(299,1),(301,1),(374,1)}
       151:{1,3,4,6}:{(101,1),(102,1),(198,1),(205,1),(302,1),(306,1),(313,1),(371,1)}
       152:{2,3,4,6,7}:{(102,1),(103,1),(108,1),(174,1),(199,1),(206,1),(221,1),(316,1),(377,1),(411,1)}
       153:{1,4,6,7}:{(103,1),(105,1),(201,1),(208,1)}
       154:{2,4,5,7}:{(104,1),(112,1),(175,1),(207,1),(209,1),(283,1),(299,1),(374,1)}
       155:{2,3,5,6}:{(104,1),(113,1),(209,1),(214,1),(310,1),(315,1)}
       156:{2,5,6,7}:{(105,1),(208,1),(215,1),(301,1)}
       157:{1,3,4,7}:{(106,1),(107,1),(179,1),(211,1),(360,1),(366,1)}
       158:{1,2,5,7}:{(106,1),(180,1),(211,1),(212,1)}
       159:{2,3,5,7}:{(107,1),(109,1),(181,1),(211,1),(213,1),(214,1)}
       160:{1,3,6,7}:{(108,1),(111,1),(183,1),(215,1)}
       161:{1,3,4,5,7}:{(109,1),(112,1),(115,1),(184,1),(207,1),(213,1),(216,1),(291,1),(317,1)}
       162:{1,3,6}:{(109,1),(110,1),(214,1)}
       163:{1,2,4,6,7}:{(110,1),(111,1),(114,1),(116,1),(186,1),(208,1),(215,1),(217,1),(219,1),(316,1),(364,1),(408,1),(423,1),(425,1)}
       164:{1,4,6}:{(112,1),(113,1),(117,1),(209,1)}
       165:{1,3,5,6,7}:{(113,1),(114,1),(118,1),(188,1),(210,1),(217,1),(219,1),(314,1),(317,1),(372,1),(382,1)}
       166:{3,4,6}:{(115,1),(117,1),(220,1)}
       167:{3,6,7}:{(116,1),(192,1)}
       168:{2,4,5,6}:{(117,1),(218,1),(220,1),(222,1),(315,1)}
       169:{2,4,6,7}:{(117,1),(118,1),(194,1),(219,1),(221,1),(222,1),(411,1)}
       170:{1,2,4}:{(119,1),(223,1)}
       171:{2,3,4}:{(223,1),(225,1)}
       172:{2,4,5}:{(120,1),(225,1),(226,1)}
       173:{1,3,4,6}:{(120,1),(121,1),(127,1),(226,1),(227,1),(322,1),(330,1)}
       174:{2,3,4,7}:{(121,1),(128,1),(227,1),(244,1),(333,1),(344,1),(385,1)}
       175:{2,4,5}:{(122,1),(132,1),(228,1),(229,1)}
       176:{2,3,5,6}:{(122,1),(124,1),(133,1),(229,1),(230,1),(231,1),(326,1)}
       177:{2,4,6}:{(123,1),(124,1),(135,1),(231,1)}
       178:{2,3,6,7}:{(124,1),(136,1),(230,1),(232,1),(385,1),(389,1)}
       179:{1,3,4,6}:{(125,1),(126,1),(157,1),(223,1),(233,1),(266,1),(322,1),(330,1)}
       180:{1,2,5}:{(125,1),(233,1)}
       181:{2,3,5}:{(126,1),(129,1),(233,1),(235,1)}
       182:{2,5,6}:{(127,1),(226,1),(237,1)}
       183:{1,3,5,7}:{(127,1),(128,1),(131,1),(160,1),(227,1),(237,1)}
       184:{1,3,4,5}:{(129,1),(132,1),(137,1),(228,1),(235,1),(238,1),(252,1),(338,1),(392,1)}
       185:{1,3,5,6}:{(129,1),(130,1),(138,1),(162,1),(236,1),(238,1),(239,1),(253,1),(322,1),(326,1),(418,1)}
       186:{1,2,4,5,7}:{(130,1),(131,1),(134,1),(139,1),(163,1),(237,1),(239,1),(241,1),(254,1),(272,1),(323,1),(328,1),(333,1),(340,1),(355,1),(390,1),(396,1),(416,1),(420,1)}
       187:{1,4,6}:{(132,1),(133,1),(140,1),(229,1),(241,1)}
       188:{1,3,5,7}:{(133,1),(134,1),(136,1),(141,1),(230,1),(241,1)}
       189:{1,3,5,6}:{(135,1),(142,1),(231,1),(240,1),(242,1),(326,1),(353,1)}
       190:{1,3,4,6,7}:{(135,1),(136,1),(143,1),(232,1),(241,1),(242,1),(327,1),(335,1),(354,1),(387,1),(389,1),(417,1)}
       191:{3,4,6}:{(137,1),(138,1),(140,1),(244,1)}
       192:{3,5,7}:{(138,1),(139,1),(167,1),(244,1)}
       193:{2,4,5,6}:{(140,1),(142,1),(240,1),(243,1),(245,1)}
       194:{2,4,7}:{(140,1),(141,1),(241,1),(244,1)}
       195:{2,3,5,7}:{(142,1),(143,1),(242,1),(245,1),(273,1),(355,1)}
       196:{1,2,4,6}:{(144,1),(148,1),(247,1),(248,1)}
       197:{2,3,4,6}:{(149,1),(247,1),(249,1),(259,1),(341,1)}
       198:{1,3,5,6}:{(145,1),(146,1),(151,1),(250,1),(251,1),(253,1),(353,1)}
       199:{2,3,5,7}:{(145,1),(147,1),(152,1),(251,1),(273,1),(355,1)}
       200:{2,4,5,6}:{(146,1),(250,1),(253,1),(254,1),(341,1)}
       201:{1,4,5,7}:{(146,1),(147,1),(153,1),(251,1),(254,1),(396,1)}
       202:{1,3,4,7}:{(148,1),(149,1),(223,1),(247,1),(255,1),(256,1),(396,1)}
       203:{1,2,4,5,7}:{(148,1),(150,1),(158,1),(224,1),(248,1),(256,1),(257,1),(265,1),(323,1),(338,1),(340,1),(345,1),(396,1)}
       204:{2,3,5,7}:{(149,1),(150,1),(225,1),(249,1),(256,1),(259,1),(325,1)}
       205:{2,4,6}:{(150,1),(151,1),(250,1),(259,1)}
       206:{1,3,4,6,7}:{(151,1),(152,1),(153,1),(160,1),(227,1),(251,1),(260,1),(262,1),(344,1),(348,1),(354,1),(396,1)}
       207:{3,4,5,7}:{(154,1),(228,1),(252,1),(261,1),(327,1),(344,1),(351,1)}
       208:{2,4,6,7}:{(153,1),(156,1),(254,1),(262,1)}
       209:{2,4,6}:{(154,1),(155,1),(164,1),(261,1)}
       210:{2,3,5,6,7}:{(155,1),(156,1),(165,1),(230,1),(262,1),(264,1),(269,1),(329,1),(342,1),(351,1),(355,1),(389,1)}
       211:{1,3,5,7}:{(157,1),(158,1),(159,1),(233,1),(265,1),(266,1)}
       212:{1,2,6}:{(158,1),(266,1)}
       213:{2,4,5,7}:{(159,1),(161,1),(235,1),(265,1),(268,1),(333,1),(355,1)}
       214:{2,3,6}:{(159,1),(162,1),(266,1),(268,1)}
       215:{2,6,7}:{(160,1),(237,1)}
       216:{1,3,4,6}:{(161,1),(162,1),(164,1),(166,1),(261,1),(268,1),(270,1)}
       217:{1,3,6,7}:{(162,1),(163,1),(167,1),(239,1),(262,1),(269,1),(389,1),(426,1)}
       218:{1,4,5,6}:{(164,1),(168,1),(263,1),(270,1),(272,1),(353,1)}
       219:{1,4,6,7}:{(164,1),(165,1),(169,1),(241,1),(264,1),(272,1),(396,1)}
       220:{3,5,6}:{(166,1),(168,1),(273,1)}
       221:{3,4,6,7}:{(166,1),(167,1),(169,1),(244,1),(273,1),(419,1),(426,1)}
       222:{2,4,5,7}:{(168,1),(169,1),(272,1),(273,1),(355,1)}
       223:{1,3,4}:{(170,1),(171,1),(275,1),(276,1)}
       224:{1,2,4,5}:{(170,1),(172,1),(180,1),(276,1),(277,1),(285,1),(357,1)}
       225:{2,3,5}:{(171,1),(172,1),(276,1),(279,1)}
       226:{2,4,6}:{(172,1),(173,1),(182,1),(279,1),(280,1)}
       227:{1,3,4,7}:{(173,1),(174,1),(183,1),(280,1),(360,1),(366,1)}
       228:{3,4,5}:{(175,1),(281,1)}
       229:{2,4,6}:{(175,1),(176,1),(187,1),(281,1),(283,1)}
       230:{2,3,5,7}:{(176,1),(178,1),(188,1),(283,1),(284,1),(363,1)}
       231:{2,5,6}:{(177,1),(189,1),(284,1)}
       232:{2,4,6,7}:{(177,1),(178,1),(190,1),(283,1),(284,1),(405,1),(423,1)}
       233:{1,3,5}:{(179,1),(180,1),(181,1),(285,1)}
       234:{1,2,5,6}:{(180,1),(182,1),(212,1),(277,1),(286,1),(287,1),(404,1)}
       235:{2,4,5}:{(181,1),(184,1),(285,1),(288,1)}
       236:{2,3,5,6}:{(181,1),(182,1),(185,1),(214,1),(279,1),(286,1),(288,1),(289,1),(315,1),(358,1),(404,1)}
       237:{2,5,7}:{(182,1),(183,1),(215,1),(280,1)}
       238:{1,3,4,6}:{(184,1),(185,1),(187,1),(191,1),(281,1),(288,1),(291,1),(302,1),(371,1),(409,1)}
       239:{1,3,5,7}:{(185,1),(186,1),(192,1),(217,1),(289,1),(291,1),(303,1),(360,1),(363,1),(424,1)}
       240:{1,4,5,6}:{(187,1),(189,1),(193,1),(282,1),(292,1)}
       241:{1,4,7}:{(187,1),(188,1),(194,1),(283,1)}
       242:{1,3,5,7}:{(189,1),(190,1),(195,1),(284,1),(292,1),(363,1),(382,1)}
       243:{3,4,5,6}:{(191,1),(193,1),(220,1),(294,1)}
       244:{3,4,7}:{(191,1),(192,1),(194,1)}
       245:{2,4,5,7}:{(193,1),(194,1),(195,1),(292,1),(294,1),(295,1)}
       246:{2,3,5,6,7}:{(195,1),(293,1),(295,1),(319,1),(383,1),(407,1)}
       247:{1,3,4,6}:{(196,1),(197,1),(202,1),(296,1),(297,1),(306,1),(371,1)}
       248:{1,2,5}:{(196,1),(297,1)}
       249:{2,3,5}:{(197,1),(297,1),(299,1)}
       250:{2,5,6}:{(198,1),(205,1),(301,1)}
       251:{1,3,5,7}:{(198,1),(199,1),(201,1),(206,1),(301,1),(303,1),(382,1)}
       252:{3,4,5}:{(299,1),(302,1)}
       253:{3,5,6}:{(200,1),(302,1),(303,1)}
       254:{2,4,5,7}:{(200,1),(201,1),(208,1),(301,1),(303,1),(374,1)}
       255:{2,3,4,7}:{(202,1),(275,1),(296,1),(304,1),(411,1)}
       256:{1,3,5,7}:{(202,1),(203,1),(204,1),(276,1),(297,1),(304,1),(306,1),(360,1)}
       257:{1,2,4,6}:{(203,1),(205,1),(212,1),(298,1),(306,1),(313,1),(371,1),(376,1)}
       258:{2,3,4,5,7}:{(204,1),(207,1),(213,1),(278,1),(299,1),(305,1),(308,1),(362,1),(374,1),(380,1)}
       259:{2,3,6}:{(204,1),(205,1),(306,1)}
       260:{2,4,6,7}:{(205,1),(206,1),(215,1),(280,1),(301,1),(309,1),(374,1)}
       261:{3,4,6}:{(207,1),(209,1),(310,1)}
       262:{3,6,7}:{(208,1),(303,1)}
       263:{2,4,5,6}:{(209,1),(218,1),(310,1),(312,1),(315,1)}
       264:{2,4,6,7}:{(209,1),(210,1),(219,1),(283,1),(311,1),(312,1),(374,1)}
       265:{1,4,5,7}:{(211,1),(213,1),(285,1),(313,1),(366,1),(382,1)}
       266:{1,3,6}:{(211,1),(212,1),(214,1),(313,1)}
       267:{1,2,6,7}:{(212,1),(215,1),(287,1),(314,1),(423,1)}
       268:{2,4,6}:{(213,1),(214,1),(216,1),(313,1),(315,1)}
       269:{2,3,6,7}:{(214,1),(215,1),(217,1),(289,1),(314,1),(316,1),(423,1)}
       270:{1,3,5,6}:{(216,1),(218,1),(220,1),(310,1),(315,1),(317,1)}
       271:{1,3,4,6,7}:{(216,1),(217,1),(219,1),(221,1),(291,1),(311,1),(316,1),(317,1)}
       272:{1,4,5,7}:{(218,1),(219,1),(222,1),(312,1),(317,1),(382,1)}
       273:{3,5,7}:{(220,1),(221,1),(222,1)}
       274:{2,4,5,6,7}:{(222,1),(295,1),(318,1),(319,1),(383,1),(425,1)}
       275:{2,3,4}:{(223,1),(320,1)}
       276:{1,3,5}:{(223,1),(224,1),(225,1),(320,1),(322,1)}
       277:{1,2,4,6}:{(224,1),(226,1),(234,1),(322,1),(323,1),(330,1),(384,1)}
       278:{2,3,4,5}:{(225,1),(228,1),(235,1),(321,1),(324,1),(392,1)}
       279:{2,3,6}:{(225,1),(226,1),(322,1),(325,1)}
       280:{2,4,7}:{(226,1),(227,1),(237,1),(325,1)}
       281:{3,4,6}:{(228,1),(229,1),(326,1),(327,1)}
       282:{2,4,5,6}:{(229,1),(231,1),(240,1),(326,1),(328,1)}
       283:{2,4,7}:{(229,1),(230,1),(241,1),(327,1)}
       284:{2,5,7}:{(231,1),(232,1),(242,1)}
       285:{1,4,5}:{(233,1),(235,1),(330,1)}
       286:{1,3,5,6}:{(233,1),(234,1),(236,1),(266,1),(322,1),(330,1),(331,1),(353,1)}
       287:{1,2,5,7}:{(234,1),(237,1),(267,1),(323,1),(331,1),(416,1)}
       288:{2,4,6}:{(235,1),(236,1),(238,1),(330,1),(333,1)}
       289:{2,3,5,7}:{(236,1),(237,1),(239,1),(269,1),(325,1),(331,1),(333,1),(355,1),(385,1),(416,1)}
       290:{1,3,4,5,6}:{(238,1),(240,1),(243,1),(270,1),(326,1),(332,1),(334,1),(343,1),(386,1),(395,1),(418,1)}
       291:{1,3,4,7}:{(238,1),(239,1),(241,1),(244,1),(327,1),(333,1),(344,1),(396,1),(419,1)}
       292:{1,4,5,7}:{(240,1),(241,1),(242,1),(245,1),(328,1),(335,1)}
       293:{1,3,5,6,7}:{(242,1),(246,1),(329,1),(335,1),(389,1),(403,1),(417,1)}
       294:{3,4,5,7}:{(243,1),(244,1),(245,1),(273,1),(336,1)}
       295:{2,4,6,7}:{(245,1),(246,1),(335,1),(336,1)}
       296:{2,3,4,6}:{(247,1),(255,1),(337,1),(346,1),(393,1)}
       297:{1,3,5}:{(247,1),(248,1),(249,1),(337,1),(338,1)}
       298:{1,2,5,6}:{(248,1),(250,1),(257,1),(339,1),(340,1),(353,1),(399,1)}
       299:{2,4,5}:{(249,1),(252,1),(338,1),(341,1)}
       300:{2,3,5,6}:{(249,1),(250,1),(253,1),(259,1),(339,1),(341,1),(342,1)}
       301:{2,5,7}:{(250,1),(251,1),(260,1)}
       302:{3,4,6}:{(252,1),(253,1),(341,1),(344,1)}
       303:{3,5,7}:{(253,1),(254,1),(262,1),(344,1)}
       304:{2,3,5,7}:{(255,1),(256,1),(320,1),(337,1),(345,1),(346,1),(385,1)}
       305:{1,3,4,5,7}:{(256,1),(258,1),(265,1),(321,1),(338,1),(345,1),(347,1),(387,1),(392,1),(396,1),(401,1),(419,1)}
       306:{1,3,6}:{(256,1),(257,1),(259,1),(346,1)}
       307:{1,2,4,6,7}:{(257,1),(260,1),(267,1),(323,1),(340,1),(348,1),(354,1),(396,1),(400,1)}
       308:{2,3,4,6}:{(258,1),(259,1),(261,1),(268,1),(341,1),(347,1),(349,1)}
       309:{2,3,6,7}:{(259,1),(260,1),(262,1),(325,1),(342,1),(348,1)}
       310:{3,5,6}:{(261,1),(263,1),(351,1)}
       311:{3,4,6,7}:{(261,1),(262,1),(264,1),(327,1),(344,1),(351,1),(389,1)}
       312:{2,4,5,7}:{(263,1),(264,1),(272,1),(351,1),(355,1)}
       313:{1,4,6}:{(265,1),(266,1),(268,1),(353,1)}
       314:{1,3,6,7}:{(266,1),(267,1),(269,1),(331,1),(354,1)}
       315:{2,5,6}:{(268,1),(270,1),(353,1),(355,1)}
       316:{2,4,6,7}:{(268,1),(269,1),(271,1),(333,1),(354,1),(355,1)}
       317:{1,3,5,7}:{(270,1),(271,1),(272,1),(273,1),(351,1),(355,1)}
       318:{1,4,5,6,7}:{(272,1),(274,1),(335,1),(352,1),(356,1),(403,1),(421,1)}
       319:{3,5,6,7}:{(273,1),(274,1),(336,1),(426,1)}
       320:{2,3,5}:{(275,1),(276,1),(357,1),(358,1)}
       321:{1,3,4,5}:{(276,1),(278,1),(285,1),(357,1),(359,1)}
       322:{1,3,6}:{(276,1),(277,1),(279,1),(358,1),(360,1)}
       323:{1,2,4,7}:{(277,1),(280,1),(287,1),(360,1),(366,1),(405,1)}
       324:{2,3,4,6}:{(278,1),(279,1),(281,1),(288,1),(359,1),(361,1),(362,1),(409,1)}
       325:{2,3,7}:{(279,1),(280,1),(360,1)}
       326:{3,5,6}:{(281,1),(282,1),(363,1)}
       327:{3,4,7}:{(281,1),(283,1),(363,1)}
       328:{2,4,5,7}:{(282,1),(283,1),(284,1),(292,1),(363,1),(364,1)}
       329:{2,5,6,7}:{(284,1),(293,1),(364,1),(423,1)}
       330:{1,4,6}:{(285,1),(286,1),(288,1),(366,1)}
       331:{1,3,5,7}:{(286,1),(287,1),(289,1),(314,1),(360,1),(366,1),(382,1)}
       332:{2,4,5,6}:{(288,1),(290,1),(315,1),(361,1),(365,1),(367,1),(404,1)}
       333:{2,4,7}:{(288,1),(289,1),(291,1),(366,1)}
       334:{1,3,4,5,7}:{(290,1),(291,1),(292,1),(294,1),(317,1),(363,1),(367,1),(368,1),(375,1),(406,1),(412,1),(424,1)}
       335:{1,4,6,7}:{(292,1),(293,1),(295,1),(364,1)}
       336:{3,4,6,7}:{(294,1),(295,1),(319,1)}
       337:{2,3,5}:{(296,1),(297,1),(369,1)}
       338:{1,4,5}:{(297,1),(299,1),(369,1),(371,1)}
       339:{1,3,5,6}:{(297,1),(298,1),(300,1),(306,1),(370,1),(371,1),(372,1)}
       340:{1,2,5,7}:{(298,1),(301,1),(307,1),(372,1),(382,1),(414,1)}
       341:{2,4,6}:{(299,1),(300,1),(302,1),(371,1),(374,1)}
       342:{2,3,5,7}:{(300,1),(301,1),(303,1),(309,1),(372,1),(374,1)}
       343:{3,4,5,6}:{(302,1),(310,1),(373,1),(375,1)}
       344:{3,4,7}:{(302,1),(303,1),(374,1)}
       345:{2,4,5,7}:{(304,1),(305,1),(357,1),(369,1),(376,1),(405,1),(411,1),(414,1)}
       346:{2,3,6}:{(304,1),(306,1),(376,1)}
       347:{1,3,4,6}:{(305,1),(306,1),(308,1),(313,1),(371,1),(376,1),(378,1),(409,1)}
       348:{1,3,6,7}:{(306,1),(307,1),(309,1),(360,1),(372,1),(377,1)}
       349:{2,3,5,6}:{(308,1),(310,1),(315,1),(373,1),(378,1),(380,1)}
       350:{2,3,4,6,7}:{(308,1),(309,1),(311,1),(316,1),(362,1),(374,1),(379,1),(380,1),(407,1),(413,1)}
       351:{3,5,7}:{(310,1),(311,1),(312,1)}
       352:{2,4,5,6,7}:{(312,1),(318,1),(364,1),(381,1),(383,1),(413,1)}
       353:{1,5,6}:{(313,1),(315,1),(382,1)}
       354:{1,4,6,7}:{(313,1),(314,1),(316,1),(366,1),(382,1)}
       355:{2,5,7}:{(315,1),(316,1),(317,1),(382,1)}
       356:{1,3,5,6,7}:{(317,1),(318,1),(319,1),(368,1),(381,1),(383,1)}
       357:{2,4,5}:{(320,1),(321,1),(384,1)}
       358:{2,3,6}:{(320,1),(322,1),(384,1),(385,1)}
       359:{1,3,4,6}:{(321,1),(322,1),(324,1),(330,1),(384,1),(386,1),(387,1)}
       360:{1,3,7}:{(322,1),(323,1),(325,1),(385,1)}
       361:{2,3,5,6}:{(324,1),(326,1),(332,1),(386,1),(388,1),(418,1)}
       362:{2,3,4,7}:{(324,1),(325,1),(327,1),(333,1),(387,1),(388,1),(419,1)}
       363:{3,5,7}:{(326,1),(327,1),(328,1),(389,1)}
       364:{2,4,6,7}:{(328,1),(329,1),(335,1),(389,1)}
       365:{1,4,5,6}:{(330,1),(332,1),(353,1),(386,1),(390,1)}
       366:{1,4,7}:{(330,1),(331,1),(333,1)}
       367:{2,4,5,7}:{(332,1),(333,1),(334,1),(355,1),(388,1),(390,1),(391,1),(416,1)}
       368:{1,3,4,6,7}:{(334,1),(335,1),(336,1),(356,1),(389,1),(391,1),(398,1),(417,1),(421,1),(426,1)}
       369:{2,4,5}:{(337,1),(338,1),(392,1),(393,1)}
       370:{2,3,5,6}:{(337,1),(339,1),(346,1),(393,1),(394,1),(399,1),(418,1)}
       371:{1,4,6}:{(338,1),(339,1),(341,1),(393,1),(396,1)}
       372:{1,3,5,7}:{(339,1),(340,1),(342,1),(348,1),(394,1),(396,1)}
       373:{2,4,5,6}:{(341,1),(343,1),(349,1),(395,1),(397,1)}
       374:{2,4,7}:{(341,1),(342,1),(344,1),(396,1)}
       375:{3,4,5,7}:{(343,1),(344,1),(351,1),(397,1),(398,1)}
       376:{2,4,6}:{(345,1),(346,1),(347,1),(399,1)}
       377:{2,3,6,7}:{(346,1),(348,1),(385,1),(394,1),(400,1),(426,1)}
       378:{1,3,5,6}:{(347,1),(349,1),(353,1),(395,1),(399,1),(401,1),(418,1)}
       379:{1,3,4,6,7}:{(347,1),(348,1),(350,1),(354,1),(387,1),(396,1),(400,1),(401,1),(417,1),(419,1),(421,1),(426,1)}
       380:{2,3,5,7}:{(349,1),(350,1),(351,1),(355,1),(397,1),(401,1)}
       381:{3,5,6,7}:{(351,1),(352,1),(389,1),(398,1)}
       382:{1,5,7}:{(353,1),(354,1),(355,1)}
       383:{2,5,6,7}:{(355,1),(356,1),(391,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1),(405,1)}
       385:{2,3,7}:{(358,1),(360,1),(405,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(365,1),(404,1),(406,1)}
       387:{1,3,4,7}:{(359,1),(360,1),(362,1),(366,1),(405,1),(406,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(367,1),(406,1),(407,1),(424,1)}
       389:{3,6,7}:{(363,1),(364,1)}
       390:{1,4,5,7}:{(365,1),(366,1),(367,1),(382,1),(406,1),(408,1)}
       391:{2,4,6,7}:{(367,1),(368,1),(383,1),(407,1),(408,1),(423,1)}
       392:{3,4,5}:{(369,1),(409,1)}
       393:{2,4,6}:{(369,1),(370,1),(371,1),(409,1),(411,1)}
       394:{2,3,5,7}:{(370,1),(372,1),(377,1),(411,1),(414,1),(424,1)}
       395:{1,4,5,6}:{(371,1),(373,1),(378,1),(410,1),(412,1)}
       396:{1,4,7}:{(371,1),(372,1),(374,1),(411,1)}
       397:{2,4,5,7}:{(373,1),(374,1),(375,1),(380,1),(412,1),(413,1)}
       398:{3,4,6,7}:{(375,1),(381,1),(413,1)}
       399:{2,5,6}:{(376,1),(378,1),(414,1)}
       400:{2,4,6,7}:{(376,1),(377,1),(379,1),(405,1),(411,1),(414,1),(423,1)}
       401:{1,3,5,7}:{(378,1),(379,1),(380,1),(382,1),(412,1),(414,1),(424,1)}
       402:{2,3,5,6,7}:{(380,1),(381,1),(383,1),(407,1),(413,1),(415,1)}
       403:{1,5,6,7}:{(382,1),(383,1),(408,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,7}:{(384,1),(385,1),(387,1),(416,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(390,1),(416,1),(417,1)}
       407:{2,3,6,7}:{(388,1),(389,1),(391,1),(417,1),(426,1)}
       408:{1,4,6,7}:{(390,1),(391,1),(403,1),(417,1)}
       409:{3,4,6}:{(392,1),(393,1),(418,1),(419,1)}
       410:{2,4,5,6}:{(393,1),(395,1),(399,1),(418,1),(420,1)}
       411:{2,4,7}:{(393,1),(394,1),(396,1),(419,1)}
       412:{1,4,5,7}:{(395,1),(396,1),(397,1),(401,1),(420,1),(421,1)}
       413:{2,4,6,7}:{(397,1),(398,1),(402,1),(421,1)}
       414:{2,5,7}:{(399,1),(400,1),(401,1)}
       415:{1,3,5,6,7}:{(401,1),(402,1),(403,1),(417,1),(421,1),(422,1),(426,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1),(423,1)}
       417:{1,3,6,7}:{(406,1),(407,1),(408,1),(423,1)}
       418:{3,5,6}:{(409,1),(410,1),(424,1)}
       419:{3,4,7}:{(409,1),(411,1),(424,1)}
       420:{2,4,5,7}:{(410,1),(411,1),(412,1),(414,1),(424,1),(425,1)}
       421:{1,4,6,7}:{(412,1),(413,1),(415,1),(425,1)}
       422:{2,5,6,7}:{(414,1),(415,1),(423,1),(425,1)}
       423:{2,6,7}:{(416,1),(417,1)}
       424:{3,5,7}:{(418,1),(419,1),(420,1),(426,1)}
       425:{2,4,6,7}:{(420,1),(421,1),(422,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2558 :   0:{2,3,5,6,7}:{(2,1),(3,1),(11,1),(17,1),(53,1),(54,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(25,1),(35,1),(62,1),(117,1),(126,1),(128,1),(168,1),(174,1),(184,1)}
         2:{1,3,5,6,7}:{(0,1),(7,1),(8,1),(24,1),(33,1),(34,1),(79,1),(80,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(8,1),(9,1),(25,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(42,1),(45,1),(55,1),(94,1),(97,1),(99,1),(148,1),(154,1),(155,1),(197,1)}
         5:{2,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(53,1),(191,1),(196,1)}
         6:{2,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(53,1),(160,1)}
         7:{2,5,6,7}:{(2,1),(18,1),(44,1),(53,1),(107,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(16,1),(18,1),(45,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(46,1)}
        10:{2,3,4,6,7}:{(21,1),(22,1),(26,1),(59,1),(61,1),(72,1),(113,1),(125,1),(169,1),(171,1),(174,1),(233,1)}
        11:{2,3,5,6}:{(5,1),(24,1),(25,1),(31,1),(76,1),(126,1)}
        12:{2,4,6,7}:{(4,1),(26,1),(27,1),(70,1),(72,1),(174,1),(180,1),(181,1)}
        13:{1,3,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(73,1),(79,1),(173,1),(214,1)}
        14:{2,4,5,7}:{(5,1),(25,1),(28,1),(29,1),(117,1),(167,1)}
        15:{2,4,5,6}:{(6,1),(25,1),(30,1),(31,1),(76,1),(167,1),(183,1)}
        16:{1,4,5,7}:{(6,1),(8,1),(30,1),(32,1),(33,1),(79,1),(133,1)}
        17:{3,5,7}:{(6,1),(9,1),(31,1),(184,1)}
        18:{2,4,6,7}:{(7,1),(8,1),(32,1),(34,1),(70,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(33,1),(34,1),(35,1),(71,1),(77,1),(80,1),(133,1),(184,1)}
        20:{2,3,5,6,7}:{(36,1),(37,1),(38,1),(83,1),(138,1),(139,1)}
        21:{1,3,4,6,7}:{(10,1),(39,1),(40,1),(42,1),(87,1),(94,1),(140,1),(142,1),(144,1),(148,1),(193,1),(194,1),(197,1)}
        22:{2,3,5,7}:{(10,1),(38,1),(40,1),(41,1),(83,1),(138,1),(152,1),(196,1)}
        23:{1,2,4,6,7}:{(12,1),(39,1),(42,1),(43,1),(55,1),(93,1),(94,1),(107,1),(140,1),(160,1),(190,1),(197,1),(198,1),(199,1),(223,1)}
        24:{1,3,5,6}:{(11,1),(13,1),(44,1),(45,1),(97,1),(104,1),(154,1)}
        25:{2,4,6}:{(11,1),(14,1),(45,1),(46,1)}
        26:{2,3,6,7}:{(12,1),(42,1),(47,1),(97,1),(149,1),(190,1),(202,1)}
        27:{2,5,7}:{(12,1),(13,1),(44,1),(196,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(45,1),(48,1),(94,1),(147,1)}
        29:{3,4,5,7}:{(14,1),(17,1),(46,1),(144,1),(191,1)}
        30:{1,4,5,6}:{(15,1),(16,1),(45,1),(50,1),(51,1),(104,1),(147,1),(158,1)}
        31:{3,5,6}:{(15,1),(17,1),(46,1),(191,1),(204,1)}
        32:{2,4,5,7}:{(16,1),(18,1),(50,1),(52,1),(53,1),(105,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(51,1),(52,1),(53,1)}
        34:{3,6,7}:{(18,1),(52,1),(97,1)}
        35:{2,4,6,7}:{(19,1),(53,1),(54,1),(55,1),(98,1),(105,1),(107,1),(160,1)}
        36:{1,3,5,6,7}:{(20,1),(57,1),(58,1),(60,1),(111,1),(112,1),(165,1),(166,1)}
        37:{2,4,6,7}:{(20,1),(56,1),(58,1),(59,1),(61,1)}
        38:{2,3,5,6}:{(22,1),(60,1),(61,1),(109,1),(162,1),(169,1)}
        39:{2,4,6,7}:{(21,1),(62,1),(63,1),(115,1),(117,1),(174,1),(212,1),(213,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(60,1),(63,1),(64,1),(118,1),(165,1),(173,1),(214,1)}
        41:{2,4,5,7}:{(22,1),(61,1),(64,1),(65,1),(72,1),(124,1)}
        42:{1,3,6,7}:{(23,1),(26,1),(62,1),(67,1),(121,1),(175,1),(184,1),(216,1),(233,1)}
        43:{1,2,5,7}:{(23,1),(27,1),(63,1),(66,1),(67,1),(79,1),(134,1),(165,1),(209,1),(214,1)}
        44:{2,5,6}:{(24,1),(27,1),(70,1),(180,1)}
        45:{1,4,6}:{(24,1),(25,1),(28,1),(70,1)}
        46:{3,4,6}:{(25,1),(29,1),(31,1)}
        47:{2,3,5,7}:{(26,1),(27,1),(67,1),(69,1),(72,1),(73,1),(209,1),(233,1)}
        48:{2,4,5,7}:{(27,1),(28,1),(70,1),(72,1),(73,1),(124,1)}
        49:{1,3,4,5,7}:{(28,1),(29,1),(33,1),(71,1),(73,1),(74,1),(77,1),(122,1),(129,1),(130,1),(133,1),(173,1),(182,1),(184,1),(219,1)}
        50:{2,4,5,6}:{(30,1),(32,1),(70,1),(75,1),(76,1),(124,1),(131,1)}
        51:{1,3,5,6}:{(30,1),(31,1),(33,1),(71,1),(75,1),(76,1),(173,1)}
        52:{3,5,7}:{(32,1),(34,1),(75,1),(77,1)}
        53:{2,5,7}:{(33,1),(35,1),(76,1),(79,1)}
        54:{2,3,6,7}:{(34,1),(35,1),(78,1),(80,1),(126,1),(184,1)}
        55:{1,4,6,7}:{(35,1),(79,1),(80,1),(127,1),(133,1)}
        56:{2,4,5,7}:{(37,1),(81,1),(82,1),(83,1),(138,1),(223,1)}
        57:{2,5,6,7}:{(36,1),(84,1),(86,1),(138,1),(190,1)}
        58:{1,4,6,7}:{(36,1),(37,1),(82,1),(84,1),(87,1)}
        59:{3,4,6,7}:{(37,1),(83,1),(88,1)}
        60:{1,3,5,6}:{(38,1),(40,1),(86,1),(87,1),(142,1),(187,1),(193,1)}
        61:{2,4,6}:{(38,1),(41,1),(87,1),(88,1)}
        62:{2,3,6,7}:{(39,1),(42,1),(89,1),(107,1),(142,1),(149,1),(226,1)}
        63:{2,5,7}:{(39,1),(40,1),(86,1),(196,1)}
        64:{1,4,5,7}:{(40,1),(41,1),(87,1),(90,1),(94,1),(147,1)}
        65:{3,4,5,7}:{(41,1),(83,1),(88,1),(99,1),(152,1)}
        66:{1,2,5,6}:{(43,1),(44,1),(86,1),(92,1),(93,1),(104,1),(159,1),(187,1),(196,1),(198,1),(222,1),(227,1)}
        67:{1,3,5,7}:{(42,1),(43,1),(47,1),(89,1),(92,1),(94,1)}
        68:{1,2,4,5,7}:{(43,1),(48,1),(90,1),(93,1),(94,1),(95,1),(101,1),(146,1),(147,1),(150,1),(156,1),(160,1),(195,1),(196,1),(199,1),(203,1),(223,1),(227,1),(238,1),(241,1)}
        69:{2,3,5,6}:{(44,1),(47,1),(92,1),(96,1),(97,1),(149,1),(152,1),(196,1),(222,1),(239,1),(240,1)}
        70:{2,4,6}:{(44,1),(45,1),(48,1),(97,1)}
        71:{1,3,4,6}:{(45,1),(46,1),(49,1),(51,1),(97,1),(98,1),(102,1),(154,1),(158,1),(204,1)}
        72:{2,4,7}:{(47,1),(94,1),(96,1),(99,1)}
        73:{3,5,7}:{(48,1),(97,1),(99,1),(152,1)}
        74:{2,4,5,7}:{(49,1),(53,1),(98,1),(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(160,1),(196,1),(203,1)}
        75:{3,5,6}:{(50,1),(52,1),(97,1),(102,1),(152,1)}
        76:{2,5,6}:{(51,1),(53,1),(98,1),(104,1),(196,1)}
        77:{3,4,7}:{(52,1),(102,1),(105,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(54,1),(103,1),(105,1),(106,1)}
        79:{1,5,7}:{(53,1),(55,1),(104,1)}
        80:{1,3,6,7}:{(54,1),(55,1),(106,1),(107,1),(154,1)}
        81:{2,4,5,6}:{(56,1),(61,1),(108,1),(109,1),(124,1),(162,1),(232,1)}
        82:{1,4,5,7}:{(56,1),(58,1),(108,1),(110,1),(111,1),(165,1),(208,1)}
        83:{3,5,7}:{(56,1),(59,1),(109,1),(233,1)}
        84:{2,4,6,7}:{(57,1),(58,1),(110,1),(112,1),(115,1)}
        85:{1,3,4,6,7}:{(58,1),(59,1),(111,1),(112,1),(113,1),(116,1),(163,1),(166,1),(208,1),(233,1)}
        86:{2,5,6}:{(60,1),(63,1),(115,1),(212,1)}
        87:{1,4,6}:{(60,1),(61,1),(64,1),(115,1)}
        88:{3,4,6}:{(61,1),(65,1),(109,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(67,1),(114,1),(117,1),(118,1),(134,1),(184,1)}
        90:{2,4,5,7}:{(63,1),(64,1),(115,1),(117,1),(118,1),(167,1)}
        91:{1,3,4,5,7}:{(64,1),(65,1),(111,1),(116,1),(118,1),(119,1),(122,1),(163,1),(172,1),(173,1),(205,1),(208,1),(231,1),(233,1),(242,1)}
        92:{1,3,5,6}:{(66,1),(67,1),(69,1),(114,1),(120,1),(121,1),(173,1),(175,1),(214,1),(236,1)}
        93:{1,2,4,6}:{(66,1),(68,1),(70,1),(115,1),(120,1),(121,1),(127,1),(170,1),(174,1),(180,1),(183,1),(212,1),(232,1)}
        94:{1,4,7}:{(67,1),(72,1),(117,1),(120,1)}
        95:{1,3,5,7}:{(68,1),(73,1),(118,1),(121,1),(122,1),(123,1),(173,1),(184,1),(216,1),(219,1),(233,1),(236,1),(242,1)}
        96:{2,4,6}:{(69,1),(72,1),(120,1),(124,1),(125,1),(243,1)}
        97:{3,6}:{(70,1),(73,1)}
        98:{2,4,6}:{(71,1),(74,1),(76,1),(126,1),(127,1),(180,1)}
        99:{3,4,7}:{(72,1),(73,1),(125,1),(233,1)}
       100:{2,3,5,7}:{(73,1),(74,1),(126,1),(128,1),(129,1),(178,1),(184,1),(219,1)}
       101:{1,4,5,7}:{(74,1),(79,1),(127,1),(129,1),(133,1),(176,1),(182,1),(214,1)}
       102:{3,4,6}:{(75,1),(77,1),(130,1),(131,1)}
       103:{2,3,5,6}:{(75,1),(76,1),(78,1),(126,1),(131,1),(132,1),(178,1)}
       104:{1,5,6}:{(76,1),(79,1),(127,1),(214,1)}
       105:{2,4,7}:{(77,1),(78,1),(131,1),(133,1)}
       106:{1,3,5,7}:{(78,1),(79,1),(80,1),(132,1),(133,1),(134,1),(184,1)}
       107:{2,6,7}:{(80,1),(134,1),(180,1)}
       108:{1,4,5,6}:{(81,1),(82,1),(87,1),(135,1),(136,1),(147,1),(187,1),(221,1)}
       109:{3,5,6}:{(81,1),(83,1),(88,1),(152,1),(239,1)}
       110:{2,4,5,7}:{(82,1),(84,1),(135,1),(137,1),(138,1),(188,1)}
       111:{1,3,5,7}:{(82,1),(83,1),(85,1),(136,1),(137,1),(138,1)}
       112:{3,6,7}:{(84,1),(137,1),(142,1)}
       113:{2,4,6,7}:{(85,1),(138,1),(139,1),(140,1),(143,1),(188,1),(190,1),(223,1)}
       114:{2,3,5,6}:{(86,1),(89,1),(92,1),(141,1),(142,1),(149,1),(159,1),(191,1),(196,1),(204,1),(229,1)}
       115:{2,4,6}:{(86,1),(87,1),(90,1),(142,1)}
       116:{1,3,4,6}:{(87,1),(88,1),(91,1),(136,1),(142,1),(143,1),(185,1),(193,1),(221,1),(239,1)}
       117:{2,4,7}:{(89,1),(94,1),(141,1),(144,1)}
       118:{3,5,7}:{(90,1),(142,1),(144,1),(191,1)}
       119:{2,4,5,7}:{(91,1),(138,1),(143,1),(145,1),(146,1),(150,1),(188,1),(195,1),(196,1),(220,1),(223,1),(238,1)}
       120:{1,4,6}:{(92,1),(94,1),(96,1),(141,1),(147,1),(241,1)}
       121:{1,3,6}:{(93,1),(95,1),(97,1),(142,1),(149,1),(204,1),(239,1)}
       122:{1,3,4,7}:{(94,1),(95,1),(99,1),(144,1),(148,1),(150,1),(230,1),(241,1),(244,1)}
       123:{2,3,5,7}:{(95,1),(149,1),(150,1),(151,1),(156,1),(195,1),(196,1),(202,1),(226,1),(229,1),(240,1)}
       124:{2,4,5}:{(96,1),(147,1),(152,1),(196,1)}
       125:{3,4,6}:{(96,1),(97,1),(99,1),(152,1),(239,1),(244,1)}
       126:{2,3,6}:{(97,1),(98,1),(100,1),(154,1),(204,1)}
       127:{1,4,6}:{(98,1),(101,1),(104,1),(154,1)}
       128:{2,3,4,7}:{(99,1),(100,1),(105,1),(150,1),(153,1),(155,1),(226,1),(230,1)}
       129:{1,3,5,7}:{(100,1),(101,1),(154,1),(155,1),(156,1),(200,1)}
       130:{3,4,5}:{(102,1),(152,1),(157,1),(244,1)}
       131:{2,4,6}:{(102,1),(103,1),(105,1),(157,1),(158,1)}
       132:{1,3,5,6}:{(103,1),(104,1),(106,1),(154,1),(158,1),(159,1),(200,1),(204,1)}
       133:{1,4,7}:{(105,1),(106,1),(158,1),(160,1)}
       134:{2,5,7}:{(106,1),(107,1),(159,1),(160,1)}
       135:{2,4,5,6}:{(108,1),(110,1),(115,1),(161,1),(162,1),(167,1),(206,1)}
       136:{1,3,5,6}:{(108,1),(109,1),(111,1),(116,1),(161,1),(162,1),(173,1)}
       137:{3,5,7}:{(110,1),(112,1),(161,1),(163,1)}
       138:{2,5,7}:{(111,1),(113,1),(162,1),(165,1)}
       139:{2,3,6,7}:{(112,1),(113,1),(164,1),(166,1),(169,1),(233,1)}
       140:{1,4,6,7}:{(113,1),(165,1),(166,1),(170,1),(208,1)}
       141:{2,4,6}:{(114,1),(117,1),(120,1),(167,1),(168,1),(237,1)}
       142:{3,6}:{(115,1),(118,1)}
       143:{2,4,6}:{(116,1),(119,1),(162,1),(169,1),(170,1),(212,1)}
       144:{3,4,7}:{(117,1),(118,1),(168,1),(184,1)}
       145:{2,3,5,7}:{(118,1),(119,1),(169,1),(171,1),(172,1),(210,1),(233,1),(242,1)}
       146:{1,4,5,7}:{(119,1),(165,1),(170,1),(172,1),(176,1),(208,1),(214,1),(231,1)}
       147:{1,4,5}:{(120,1),(124,1),(167,1),(173,1),(214,1)}
       148:{1,3,4,6}:{(120,1),(121,1),(122,1),(125,1),(168,1),(173,1),(174,1)}
       149:{2,3,6}:{(121,1),(123,1),(174,1),(175,1),(180,1),(212,1)}
       150:{2,4,7}:{(122,1),(123,1),(174,1),(176,1),(237,1),(243,1)}
       151:{1,3,5,7}:{(123,1),(175,1),(176,1),(177,1),(214,1),(216,1),(236,1)}
       152:{3,5}:{(124,1),(125,1)}
       153:{2,3,4,6}:{(125,1),(126,1),(128,1),(131,1),(174,1),(178,1),(179,1),(235,1),(243,1)}
       154:{1,3,6}:{(126,1),(127,1),(129,1),(180,1)}
       155:{1,3,4,7}:{(128,1),(129,1),(133,1),(176,1),(179,1),(181,1),(184,1),(216,1)}
       156:{2,5,7}:{(129,1),(180,1),(181,1),(217,1)}
       157:{2,4,5}:{(130,1),(131,1),(178,1),(182,1),(243,1)}
       158:{1,4,6}:{(131,1),(132,1),(133,1),(182,1),(183,1)}
       159:{2,5,6}:{(132,1),(134,1),(180,1),(183,1),(217,1)}
       160:{2,4,7}:{(133,1),(134,1),(183,1),(184,1)}
       161:{3,5,6}:{(135,1),(137,1),(142,1),(185,1),(191,1)}
       162:{2,5,6}:{(136,1),(138,1),(143,1),(187,1),(196,1)}
       163:{3,4,7}:{(137,1),(185,1),(188,1)}
       164:{2,3,5,7}:{(137,1),(138,1),(139,1),(186,1),(188,1),(189,1)}
       165:{1,5,7}:{(138,1),(140,1),(187,1)}
       166:{1,3,6,7}:{(139,1),(140,1),(189,1),(190,1),(193,1)}
       167:{2,4,5}:{(141,1),(147,1),(191,1),(196,1)}
       168:{3,4,6}:{(141,1),(142,1),(144,1),(191,1),(204,1),(230,1)}
       169:{2,3,6}:{(142,1),(143,1),(145,1),(193,1),(239,1)}
       170:{1,4,6}:{(143,1),(146,1),(187,1),(193,1)}
       171:{2,3,4,7}:{(144,1),(145,1),(150,1),(188,1),(192,1),(194,1),(202,1),(244,1)}
       172:{1,3,5,7}:{(145,1),(146,1),(193,1),(194,1),(195,1),(224,1)}
       173:{1,3,5}:{(147,1),(148,1),(152,1),(191,1),(196,1)}
       174:{2,4,6}:{(148,1),(149,1),(150,1),(196,1),(197,1)}
       175:{1,3,6}:{(149,1),(151,1),(197,1),(198,1)}
       176:{1,4,7}:{(150,1),(151,1),(197,1),(241,1)}
       177:{1,2,5,7}:{(151,1),(156,1),(195,1),(198,1),(199,1),(227,1)}
       178:{2,3,5}:{(152,1),(153,1),(157,1),(196,1),(200,1)}
       179:{1,3,4,6}:{(153,1),(154,1),(155,1),(158,1),(197,1),(200,1),(201,1),(204,1),(228,1),(230,1),(241,1)}
       180:{2,6}:{(154,1),(156,1)}
       181:{2,4,7}:{(155,1),(156,1),(201,1),(202,1)}
       182:{1,4,5}:{(157,1),(158,1),(200,1),(203,1),(241,1)}
       183:{2,4,6}:{(158,1),(159,1),(160,1),(203,1),(204,1)}
       184:{3,7}:{(160,1),(204,1)}
       185:{3,4,6}:{(161,1),(163,1),(205,1),(206,1)}
       186:{2,3,5,6}:{(161,1),(162,1),(164,1),(169,1),(206,1),(207,1),(210,1)}
       187:{1,5,6}:{(162,1),(165,1),(170,1),(214,1)}
       188:{2,4,7}:{(163,1),(164,1),(206,1),(208,1)}
       189:{1,3,5,7}:{(164,1),(165,1),(166,1),(207,1),(208,1),(209,1),(233,1)}
       190:{2,6,7}:{(166,1),(209,1),(212,1)}
       191:{3,5}:{(167,1),(168,1)}
       192:{2,3,4,6}:{(168,1),(169,1),(171,1),(174,1),(206,1),(210,1),(211,1),(218,1),(237,1)}
       193:{1,3,6}:{(169,1),(170,1),(172,1),(212,1)}
       194:{1,3,4,7}:{(171,1),(172,1),(176,1),(208,1),(211,1),(213,1),(216,1),(233,1)}
       195:{2,5,7}:{(172,1),(212,1),(213,1),(234,1)}
       196:{2,5}:{(173,1),(174,1),(214,1)}
       197:{1,4,6}:{(174,1),(175,1),(176,1),(214,1)}
       198:{1,2,6}:{(175,1),(177,1),(180,1),(212,1)}
       199:{1,2,4,7}:{(176,1),(177,1),(181,1),(213,1),(215,1),(216,1)}
       200:{1,3,5}:{(178,1),(179,1),(182,1),(214,1),(217,1),(219,1)}
       201:{2,4,6}:{(179,1),(180,1),(181,1),(217,1),(218,1),(237,1)}
       202:{2,3,7}:{(181,1),(184,1),(216,1),(218,1)}
       203:{2,4,5}:{(182,1),(183,1),(217,1),(219,1),(237,1)}
       204:{3,6}:{(183,1),(184,1),(219,1)}
       205:{3,4,5}:{(185,1),(191,1),(220,1),(230,1)}
       206:{2,4,6}:{(185,1),(186,1),(188,1),(220,1),(221,1)}
       207:{1,3,5,6}:{(186,1),(187,1),(189,1),(193,1),(221,1),(222,1),(224,1),(239,1)}
       208:{1,4,7}:{(188,1),(189,1),(221,1),(223,1)}
       209:{2,5,7}:{(189,1),(190,1),(222,1),(223,1)}
       210:{2,3,5}:{(191,1),(192,1),(196,1),(220,1),(224,1)}
       211:{1,3,4,6}:{(192,1),(193,1),(194,1),(197,1),(221,1),(224,1),(225,1),(228,1),(239,1),(241,1),(244,1)}
       212:{2,6}:{(193,1),(195,1)}
       213:{2,4,7}:{(194,1),(195,1),(225,1),(226,1)}
       214:{1,5}:{(196,1),(197,1)}
       215:{1,2,4,6}:{(197,1),(198,1),(199,1),(201,1),(225,1),(227,1),(228,1),(241,1)}
       216:{1,3,7}:{(199,1),(202,1),(226,1),(228,1)}
       217:{2,5}:{(200,1),(201,1)}
       218:{2,3,6}:{(201,1),(202,1),(204,1),(228,1),(229,1)}
       219:{3,5}:{(203,1),(204,1),(230,1)}
       220:{2,4,5}:{(205,1),(206,1),(210,1),(231,1),(237,1)}
       221:{1,4,6}:{(206,1),(207,1),(208,1),(231,1),(232,1)}
       222:{2,5,6}:{(207,1),(209,1),(212,1),(232,1),(234,1)}
       223:{2,4,7}:{(208,1),(209,1),(232,1),(233,1)}
       224:{1,3,5}:{(210,1),(211,1),(214,1),(231,1),(234,1),(242,1)}
       225:{2,4,6}:{(211,1),(212,1),(213,1),(234,1),(235,1),(243,1)}
       226:{2,3,7}:{(213,1),(216,1),(233,1),(235,1)}
       227:{1,2,5}:{(214,1),(215,1),(217,1),(234,1),(236,1)}
       228:{1,3,6}:{(215,1),(216,1),(218,1),(235,1),(236,1)}
       229:{2,3,5}:{(217,1),(218,1),(219,1),(236,1),(237,1)}
       230:{3,4}:{(219,1),(237,1)}
       231:{1,4,5}:{(220,1),(221,1),(224,1),(238,1),(241,1)}
       232:{2,4,6}:{(221,1),(222,1),(223,1),(238,1),(239,1)}
       233:{3,7}:{(223,1),(239,1)}
       234:{2,5}:{(224,1),(225,1)}
       235:{2,3,6}:{(225,1),(226,1),(228,1),(239,1),(240,1)}
       236:{1,3,5}:{(227,1),(228,1),(229,1),(240,1),(241,1)}
       237:{2,4}:{(229,1),(230,1),(241,1)}
       238:{2,4,5}:{(231,1),(232,1),(234,1),(242,1),(243,1)}
       239:{3,6}:{(232,1),(233,1),(242,1)}
       240:{2,3,5}:{(234,1),(235,1),(236,1),(242,1),(243,1)}
       241:{1,4}:{(236,1),(237,1),(243,1)}
       242:{3,5}:{(238,1),(239,1),(244,1)}
       243:{2,4}:{(240,1),(241,1),(244,1)}
       244:{3,4}:{(242,1),(243,1)}

2559 :   0:{3,4,5,6,7}:{(1,1),(70,1),(154,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(52,1),(169,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(175,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(7,1),(37,1),(180,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(91,1),(123,1),(163,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(48,1),(52,1),(163,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(12,1),(183,1)}
         7:{2,4,5,6,7}:{(3,1),(11,1),(12,1),(26,1),(186,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(59,1),(71,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(39,1),(72,1),(141,1),(174,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(18,1),(33,1),(37,1),(174,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(187,1)}
        12:{3,5,6,7}:{(7,1),(18,1),(188,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(27,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(157,1),(182,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(182,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(129,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(50,1),(166,1)}
        18:{3,4,6,7}:{(12,1),(26,1),(27,1),(185,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(143,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(138,1),(172,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(143,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(172,1)}
        24:{3,4,5,6,7}:{(35,1),(39,1),(176,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(36,1),(37,1),(67,1),(151,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(179,1)}
        27:{3,4,5,7}:{(18,1),(38,1),(39,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(186,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(161,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(161,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(164,1)}
        36:{2,3,5,6,7}:{(25,1),(48,1),(52,1),(87,1),(90,1),(132,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(52,1),(53,1),(168,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1)}
        39:{3,4,5,6}:{(27,1),(54,1),(185,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(135,1),(178,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(154,1),(180,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(146,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(138,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(146,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(70,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(69,1),(72,1),(149,1)}
        52:{2,4,6,7}:{(36,1),(37,1),(70,1),(71,1),(153,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(71,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(179,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(129,1),(161,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(155,1),(164,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(133,1),(167,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(158,1),(165,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(155,1),(161,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1),(89,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1),(90,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(130,1)}
        70:{3,4,6,7}:{(52,1),(90,1),(134,1)}
        71:{2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(91,1),(168,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(136,1),(143,1),(180,1),(187,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(135,1),(142,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(136,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(110,1),(139,1),(149,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(146,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(146,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(111,1),(142,1),(150,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(172,1),(179,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(143,1),(170,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(146,1),(153,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1),(112,1)}
        89:{3,5,6,7}:{(69,1),(110,1),(112,1)}
        90:{3,5,7}:{(70,1),(71,1),(112,1)}
        91:{2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(153,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(156,1),(167,1),(181,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(161,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(161,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(156,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(157,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(134,1),(161,1),(168,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(127,1),(129,1),(181,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(126,1),(128,1),(161,1),(168,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(128,1),(129,1),(181,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(127,1),(130,1),(132,1),(162,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(128,1),(131,1),(132,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{3,4,6,7}:{(89,1),(130,1),(133,1),(134,1)}
       111:{3,4,5,7}:{(90,1),(131,1),(134,1)}
       112:{3,5,6}:{(90,1),(91,1),(134,1)}
       113:{2,3,5,6}:{(93,1),(135,1),(136,1),(138,1),(172,1),(187,1)}
       114:{2,3,4,6}:{(94,1),(136,1),(137,1),(138,1),(172,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(139,1),(143,1),(149,1),(170,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(135,1),(139,1),(140,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(136,1),(140,1),(141,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(137,1),(142,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(138,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(142,1),(143,1),(150,1),(171,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(139,1),(146,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(140,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(141,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(142,1),(146,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(146,1)}
       126:{2,3,4,6,7}:{(105,1),(137,1),(148,1),(170,1),(172,1),(176,1),(179,1)}
       127:{1,3,5,6,7}:{(104,1),(107,1),(139,1),(147,1),(149,1),(151,1),(173,1)}
       128:{1,3,5,7}:{(105,1),(106,1),(108,1),(148,1),(150,1),(151,1)}
       129:{1,2,5,6}:{(106,1),(109,1),(143,1),(151,1),(187,1)}
       130:{2,4,6,7}:{(107,1),(110,1),(149,1),(152,1),(153,1)}
       131:{2,4,5,7}:{(108,1),(111,1),(150,1),(153,1)}
       132:{2,3,5,6}:{(108,1),(109,1),(112,1),(146,1),(151,1),(153,1)}
       133:{3,4,5,7}:{(110,1),(152,1),(154,1)}
       134:{3,4,6}:{(111,1),(112,1),(153,1)}
       135:{2,3,5,7}:{(113,1),(116,1),(155,1),(156,1),(181,1)}
       136:{2,4,6}:{(113,1),(117,1),(156,1),(157,1)}
       137:{2,3,4,7}:{(114,1),(118,1),(156,1),(158,1)}
       138:{2,3,5}:{(114,1),(119,1),(157,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(121,1),(155,1),(161,1)}
       140:{1,3,4,7}:{(116,1),(117,1),(122,1),(156,1)}
       141:{1,3,4,5}:{(117,1),(119,1),(123,1),(157,1)}
       142:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(158,1),(161,1)}
       143:{1,2,4,6}:{(120,1),(125,1),(129,1),(161,1),(168,1),(182,1)}
       144:{2,3,4,6,7}:{(121,1),(122,1),(130,1),(159,1),(162,1),(163,1)}
       145:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(131,1),(160,1),(162,1),(163,1)}
       146:{2,3,6}:{(124,1),(125,1),(161,1)}
       147:{2,3,5,6,7}:{(127,1),(155,1),(164,1),(166,1),(181,1),(184,1)}
       148:{2,3,5,7}:{(126,1),(128,1),(165,1),(166,1),(181,1),(184,1)}
       149:{1,4,6,7}:{(127,1),(130,1),(164,1),(167,1),(168,1)}
       150:{1,4,5,7}:{(128,1),(131,1),(165,1),(168,1)}
       151:{1,3,5,6}:{(128,1),(129,1),(132,1),(161,1),(166,1),(168,1)}
       152:{2,4,5,7}:{(130,1),(133,1),(162,1),(167,1),(169,1)}
       153:{2,4,6}:{(131,1),(132,1),(134,1),(168,1)}
       154:{3,4,5,6}:{(133,1),(134,1),(169,1)}
       155:{2,3,6,7}:{(135,1),(139,1),(170,1),(172,1)}
       156:{2,4,7}:{(135,1),(136,1),(140,1)}
       157:{2,4,5}:{(136,1),(138,1),(141,1)}
       158:{2,3,5,7}:{(137,1),(138,1),(142,1),(171,1),(172,1)}
       159:{1,3,4,6,7}:{(139,1),(140,1),(144,1),(149,1),(170,1),(173,1),(174,1),(176,1)}
       160:{1,3,4,5,7}:{(140,1),(141,1),(142,1),(145,1),(150,1),(171,1),(173,1),(174,1),(177,1)}
       161:{1,3,6}:{(142,1),(143,1),(146,1),(172,1)}
       162:{2,3,5,7}:{(144,1),(152,1),(173,1),(175,1)}
       163:{2,3,4,6}:{(145,1),(146,1),(153,1),(174,1),(175,1)}
       164:{2,4,6,7}:{(147,1),(149,1),(176,1),(178,1),(179,1)}
       165:{2,4,5,7}:{(148,1),(150,1),(177,1),(179,1)}
       166:{2,3,5,6}:{(148,1),(151,1),(172,1),(179,1),(187,1),(188,1)}
       167:{1,4,5,7}:{(149,1),(152,1),(173,1),(178,1),(180,1)}
       168:{1,4,6}:{(150,1),(151,1),(153,1),(179,1)}
       169:{2,4,5,6}:{(152,1),(153,1),(154,1),(175,1),(180,1)}
       170:{2,4,6,7}:{(155,1),(156,1),(159,1),(181,1),(182,1)}
       171:{2,4,5,7}:{(156,1),(157,1),(158,1),(160,1),(181,1),(182,1)}
       172:{2,3,6}:{(158,1),(161,1),(182,1)}
       173:{1,3,5,7}:{(159,1),(162,1),(167,1),(181,1),(183,1),(184,1)}
       174:{1,3,4,6}:{(160,1),(161,1),(163,1),(168,1),(182,1),(183,1),(185,1)}
       175:{2,3,5,6}:{(162,1),(163,1),(169,1),(183,1)}
       176:{3,4,6,7}:{(164,1),(184,1),(185,1)}
       177:{3,4,5,7}:{(165,1),(184,1),(185,1)}
       178:{2,4,5,7}:{(164,1),(167,1),(181,1),(184,1),(186,1)}
       179:{2,4,6}:{(165,1),(166,1),(168,1),(185,1)}
       180:{1,4,5,6}:{(167,1),(168,1),(169,1),(183,1),(186,1)}
       181:{2,5,7}:{(170,1),(173,1),(187,1)}
       182:{2,4,6}:{(171,1),(172,1),(174,1),(187,1)}
       183:{1,3,5,6}:{(173,1),(174,1),(175,1),(180,1),(187,1),(188,1)}
       184:{3,5,7}:{(176,1),(178,1),(188,1)}
       185:{3,4,6}:{(177,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(178,1),(179,1),(180,1),(187,1),(188,1)}
       187:{2,5,6}:{(181,1),(182,1),(183,1)}
       188:{3,5,6}:{(184,1),(185,1),(186,1)}

2560 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2561 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{1,2,3,5,6,7}:{(7,1),(21,1),(41,1),(51,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         3:{2,3,4,5,6}:{(6,1),(8,1),(52,1),(54,1),(80,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(3,1),(9,1),(12,1),(60,1),(62,1)}
         7:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(59,1),(67,1),(94,1),(100,1),(128,1)}
         8:{1,3,4,5,6}:{(3,1),(12,1),(15,1),(36,1),(72,1),(99,1),(103,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(84,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(22,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(8,1),(16,1),(19,1),(44,1),(79,1)}
        13:{1,3,4,6,7}:{(7,1),(20,1),(21,1),(48,1),(115,1),(135,1)}
        14:{1,2,4,5,7}:{(7,1),(21,1),(22,1),(47,1),(79,1),(111,1)}
        15:{2,4,5,6}:{(8,1),(19,1),(24,1),(91,1),(118,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(103,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(35,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(15,1),(25,1),(30,1)}
        20:{2,3,4,6,7}:{(13,1),(33,1),(34,1),(67,1),(94,1),(101,1),(129,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        22:{1,2,4,5,6}:{(14,1),(35,1),(67,1),(99,1),(124,1),(128,1)}
        23:{1,2,4,5,6}:{(15,1),(29,1),(36,1),(71,1),(74,1),(99,1),(105,1),(107,1),(124,1),(128,1)}
        24:{2,3,5,6}:{(15,1),(30,1),(36,1),(37,1),(108,1),(129,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(118,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(88,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(51,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(48,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(23,1),(39,1),(44,1),(79,1),(82,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(21,1),(47,1),(48,1)}
        32:{1,2,3,6,7}:{(46,1),(49,1),(75,1),(119,1)}
        33:{1,3,4,6,7}:{(20,1),(49,1),(50,1),(85,1),(87,1),(119,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(47,1),(50,1),(51,1),(111,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(48,1),(51,1),(135,1)}
        36:{1,3,5,6}:{(23,1),(24,1),(44,1),(52,1),(53,1),(92,1),(119,1),(120,1),(135,1)}
        37:{2,3,4,6}:{(24,1),(45,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(46,1),(52,1),(55,1),(88,1),(92,1),(119,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(105,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(69,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(67,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(36,1),(56,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(30,1),(37,1),(63,1)}
        46:{1,2,3,5,7}:{(32,1),(38,1),(62,1),(65,1),(68,1),(104,1)}
        47:{2,4,5,7}:{(31,1),(34,1),(66,1),(67,1)}
        48:{1,3,4,6}:{(31,1),(35,1),(67,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(65,1),(68,1),(94,1),(105,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(66,1),(68,1),(69,1)}
        51:{2,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(124,1),(129,1)}
        52:{2,3,5,6}:{(36,1),(62,1),(71,1),(108,1),(124,1),(129,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(63,1),(71,1),(72,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(108,1)}
        55:{1,2,4,6}:{(38,1),(65,1),(71,1),(73,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(119,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(84,1)}
        58:{1,2,3,5,6,7}:{(41,1),(46,1),(75,1),(78,1),(88,1),(111,1),(113,1),(119,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(87,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(48,1),(80,1),(112,1),(134,1)}
        62:{2,3,5,7}:{(44,1),(52,1),(75,1),(82,1),(111,1)}
        63:{1,3,4,7}:{(44,1),(45,1),(53,1),(82,1)}
        64:{2,3,4,5,7}:{(45,1),(47,1),(54,1),(77,1),(83,1),(84,1),(117,1),(132,1)}
        65:{1,2,4,7}:{(46,1),(55,1),(82,1),(85,1)}
        66:{1,4,5,7}:{(47,1),(50,1),(87,1)}
        67:{2,4,6}:{(47,1),(48,1),(51,1),(87,1)}
        68:{1,2,5,7}:{(49,1),(50,1),(88,1),(111,1)}
        69:{1,3,5,6}:{(50,1),(51,1),(87,1),(88,1),(119,1)}
        70:{1,2,3,5,6}:{(52,1),(81,1),(89,1),(120,1),(131,1),(135,1)}
        71:{2,4,6}:{(52,1),(53,1),(82,1),(91,1)}
        72:{1,3,4,5}:{(53,1),(54,1),(91,1),(92,1),(120,1)}
        73:{1,3,4,6}:{(55,1),(85,1),(90,1),(92,1),(119,1)}
        74:{1,2,4,5}:{(55,1),(91,1),(92,1)}
        75:{2,3,6,7}:{(56,1),(62,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(94,1),(95,1),(103,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(65,1),(94,1),(97,1),(98,1),(105,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(67,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(70,1),(93,1),(100,1),(122,1),(127,1)}
        82:{2,4,7}:{(62,1),(63,1),(71,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(72,1),(95,1),(102,1),(103,1),(104,1),(127,1),(136,1)}
        84:{2,3,4,6}:{(64,1),(67,1),(96,1),(103,1),(129,1),(138,1)}
        85:{1,3,4,7}:{(65,1),(73,1),(101,1),(104,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(102,1),(104,1),(105,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(68,1),(69,1),(105,1),(124,1)}
        89:{1,2,4,6}:{(70,1),(71,1),(100,1),(106,1),(107,1)}
        90:{2,3,4,6}:{(71,1),(73,1),(101,1),(106,1),(108,1),(129,1)}
        91:{2,4,5}:{(71,1),(72,1),(108,1)}
        92:{1,3,5}:{(73,1),(74,1),(108,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(82,1),(111,1),(118,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(84,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(85,1),(110,1),(113,1),(119,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(87,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(89,1),(115,1)}
       101:{2,3,4,7}:{(82,1),(85,1),(90,1),(115,1),(117,1)}
       102:{2,4,5,7}:{(82,1),(83,1),(91,1),(111,1),(117,1),(118,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(87,1),(112,1),(118,1),(119,1),(135,1),(139,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(92,1),(117,1),(119,1)}
       105:{1,2,4,6}:{(86,1),(87,1),(88,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(115,1),(120,1),(135,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(120,1)}
       108:{2,3,5}:{(90,1),(91,1),(92,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(101,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(103,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(105,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(106,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(107,1),(122,1),(127,1),(128,1),(136,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(108,1),(127,1),(129,1)}
       118:{2,4,6}:{(102,1),(103,1),(124,1),(129,1)}
       119:{1,3,6}:{(104,1),(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(118,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(119,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(120,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(118,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(117,1),(118,1),(119,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2562 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2563 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(27,1)}
         4:{1,2,4,5}:{(1,1),(6,1),(8,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(151,1),(152,1)}
         6:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(13,1),(14,1),(31,1),(36,1)}
         8:{1,3,4,5}:{(4,1),(12,1),(15,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(16,1),(17,1),(36,1),(148,1),(149,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(27,1),(28,1),(56,1)}
        12:{1,3,4,6}:{(6,1),(8,1),(19,1),(21,1),(22,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(22,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(23,1),(46,1),(151,1)}
        15:{2,3,4,5}:{(8,1),(21,1),(24,1)}
        16:{1,3,4,5,7}:{(8,1),(9,1),(22,1),(25,1),(26,1),(51,1),(143,1),(145,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1)}
        18:{1,3,4,5,6}:{(19,1),(28,1),(29,1),(56,1),(89,1)}
        19:{1,3,5,6}:{(11,1),(12,1),(30,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(36,1),(42,1),(68,1)}
        21:{2,3,4,6}:{(12,1),(15,1),(30,1),(33,1),(34,1)}
        22:{1,3,4,7}:{(12,1),(13,1),(31,1),(34,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(35,1),(36,1),(147,1),(148,1)}
        24:{1,3,4,5}:{(15,1),(33,1),(37,1)}
        25:{2,3,4,5,7}:{(15,1),(16,1),(34,1),(38,1),(39,1),(67,1),(137,1),(139,1)}
        26:{1,3,4,6}:{(16,1),(17,1),(39,1),(40,1)}
        27:{1,2,5,6}:{(17,1),(36,1),(40,1)}
        28:{2,4,5,6}:{(18,1),(30,1),(41,1),(42,1)}
        29:{1,3,4,5,7}:{(18,1),(31,1),(42,1),(43,1),(68,1),(98,1)}
        30:{2,3,5,6}:{(19,1),(21,1),(28,1),(44,1),(45,1)}
        31:{1,3,5,7}:{(19,1),(20,1),(22,1),(45,1),(46,1)}
        32:{1,2,4,6,7}:{(20,1),(46,1),(47,1),(58,1),(80,1)}
        33:{1,3,4,6}:{(21,1),(24,1),(44,1),(48,1),(49,1)}
        34:{2,3,4,7}:{(21,1),(22,1),(45,1),(49,1)}
        35:{1,3,4,6,7}:{(22,1),(23,1),(26,1),(46,1),(50,1),(51,1),(80,1),(142,1),(143,1)}
        36:{1,2,5,7}:{(23,1),(27,1),(51,1)}
        37:{1,2,4,5}:{(24,1),(48,1),(52,1)}
        38:{1,3,4,5,7}:{(24,1),(25,1),(49,1),(53,1),(54,1),(83,1),(128,1),(131,1)}
        39:{2,3,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        40:{1,3,5,6}:{(26,1),(27,1),(51,1),(55,1),(56,1)}
        41:{1,4,5,6}:{(28,1),(44,1),(57,1)}
        42:{2,4,5,7}:{(28,1),(29,1),(45,1),(57,1),(58,1)}
        43:{1,3,4,6,7}:{(29,1),(46,1),(58,1),(59,1),(80,1),(107,1)}
        44:{1,3,5,6}:{(30,1),(33,1),(41,1),(60,1),(61,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(34,1),(42,1),(61,1),(62,1)}
        46:{1,3,6,7}:{(31,1),(32,1),(62,1)}
        47:{1,2,5,6,7}:{(32,1),(36,1),(63,1),(75,1),(147,1)}
        48:{1,2,4,6}:{(33,1),(37,1),(60,1),(64,1),(65,1)}
        49:{1,3,4,7}:{(33,1),(34,1),(61,1),(65,1)}
        50:{2,3,4,6,7}:{(34,1),(35,1),(39,1),(62,1),(66,1),(67,1),(94,1),(135,1),(137,1)}
        51:{1,3,5,7}:{(35,1),(36,1),(40,1),(67,1),(68,1)}
        52:{1,2,3,5}:{(37,1),(64,1),(69,1)}
        53:{1,2,4,5,7}:{(37,1),(38,1),(65,1),(70,1),(71,1),(96,1),(118,1),(121,1)}
        54:{1,3,4,6}:{(38,1),(39,1),(71,1),(72,1)}
        55:{2,3,5,6}:{(39,1),(40,1),(67,1),(72,1),(73,1)}
        56:{1,4,5,6}:{(40,1),(68,1),(73,1)}
        57:{1,4,5,7}:{(41,1),(42,1),(61,1),(74,1)}
        58:{2,4,6,7}:{(42,1),(43,1),(62,1),(74,1),(75,1)}
        59:{1,3,5,6,7}:{(43,1),(75,1),(76,1),(104,1)}
        60:{1,2,5,6}:{(44,1),(48,1),(77,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(49,1),(57,1),(77,1),(78,1)}
        62:{2,3,6,7}:{(45,1),(46,1),(58,1),(78,1)}
        63:{1,3,5,6,7}:{(46,1),(47,1),(51,1),(79,1),(80,1),(134,1),(142,1)}
        64:{1,2,3,6}:{(48,1),(52,1),(81,1)}
        65:{1,2,4,7}:{(48,1),(49,1),(77,1),(81,1)}
        66:{1,3,4,6,7}:{(49,1),(50,1),(54,1),(78,1),(82,1),(83,1),(106,1),(126,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(55,1),(83,1),(84,1)}
        68:{1,4,5,7}:{(51,1),(56,1),(80,1),(84,1)}
        69:{1,2,3,4}:{(52,1)}
        70:{1,2,3,5,7}:{(52,1),(53,1),(81,1),(85,1),(86,1),(111,1)}
        71:{1,2,4,6}:{(53,1),(54,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(54,1),(55,1),(83,1),(87,1),(88,1)}
        73:{2,4,5,6}:{(55,1),(56,1),(84,1),(88,1),(89,1)}
        74:{1,4,6,7}:{(57,1),(58,1),(78,1),(90,1)}
        75:{2,5,6,7}:{(58,1),(59,1),(90,1)}
        76:{1,4,5,6,7}:{(59,1),(80,1),(91,1),(134,1)}
        77:{1,2,5,7}:{(60,1),(61,1),(65,1),(92,1)}
        78:{1,3,6,7}:{(61,1),(62,1),(74,1),(92,1)}
        79:{2,3,5,6,7}:{(62,1),(63,1),(67,1),(75,1),(93,1),(94,1),(104,1),(125,1),(135,1)}
        80:{1,4,6,7}:{(63,1),(68,1),(94,1)}
        81:{1,2,3,7}:{(64,1),(65,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(71,1),(92,1),(95,1),(96,1),(118,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(72,1),(96,1),(97,1)}
        84:{2,4,5,7}:{(67,1),(68,1),(73,1),(94,1),(97,1),(98,1)}
        85:{1,2,3,4,7}:{(69,1),(70,1),(99,1),(118,1)}
        86:{1,2,3,6}:{(70,1),(71,1)}
        87:{1,2,5,6}:{(71,1),(72,1),(96,1)}
        88:{1,4,5,6}:{(72,1),(73,1),(97,1)}
        89:{3,4,5,6}:{(73,1),(98,1)}
        90:{1,5,6,7}:{(74,1),(75,1)}
        91:{2,4,5,6,7}:{(75,1),(76,1),(94,1),(103,1),(104,1),(125,1)}
        92:{1,2,6,7}:{(77,1),(78,1)}
        93:{1,3,5,6,7}:{(78,1),(79,1),(83,1),(90,1),(105,1),(106,1),(126,1)}
        94:{2,4,6,7}:{(79,1),(80,1),(84,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(81,1),(82,1),(86,1),(108,1),(126,1)}
        96:{1,2,5,7}:{(82,1),(83,1),(87,1)}
        97:{1,4,5,7}:{(83,1),(84,1),(88,1),(106,1)}
        98:{3,4,5,7}:{(84,1),(89,1),(107,1)}
        99:{1,2,3,4,6}:{(85,1),(86,1),(111,1),(112,1)}
       100:{1,2,3,5,6}:{(86,1),(87,1),(108,1),(111,1),(112,1),(113,1)}
       101:{1,2,4,5,6}:{(87,1),(88,1),(109,1),(112,1),(113,1),(114,1)}
       102:{1,3,4,5,6}:{(88,1),(89,1),(110,1),(113,1),(114,1)}
       103:{1,4,5,6,7}:{(90,1),(91,1),(106,1),(115,1)}
       104:{3,5,6,7}:{(91,1),(107,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(116,1),(125,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(97,1)}
       107:{3,4,6,7}:{(94,1),(98,1),(104,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(100,1),(118,1),(119,1)}
       109:{1,2,4,5,7}:{(96,1),(97,1),(101,1),(116,1),(118,1),(119,1),(120,1)}
       110:{1,3,4,5,7}:{(97,1),(98,1),(102,1),(117,1),(119,1),(120,1)}
       111:{1,2,3,5}:{(99,1),(121,1)}
       112:{1,2,4,6}:{(100,1),(118,1),(121,1),(122,1)}
       113:{1,3,5,6}:{(101,1),(119,1),(122,1),(123,1)}
       114:{2,4,5,6}:{(102,1),(120,1),(123,1),(124,1)}
       115:{1,3,5,6,7}:{(103,1),(104,1),(117,1),(125,1)}
       116:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(126,1),(127,1)}
       117:{1,3,4,6,7}:{(106,1),(107,1),(110,1),(115,1),(126,1),(127,1)}
       118:{1,2,4,7}:{(108,1),(112,1),(128,1)}
       119:{1,3,5,7}:{(109,1),(113,1),(126,1),(128,1),(129,1)}
       120:{2,4,5,7}:{(110,1),(114,1),(127,1),(129,1),(130,1)}
       121:{1,2,4,5}:{(111,1),(112,1),(131,1)}
       122:{1,3,4,6}:{(112,1),(113,1),(128,1),(131,1),(132,1)}
       123:{2,3,5,6}:{(113,1),(114,1),(129,1),(132,1),(133,1)}
       124:{1,4,5,6}:{(114,1),(130,1),(133,1)}
       125:{2,5,6,7}:{(115,1),(127,1),(134,1)}
       126:{1,3,6,7}:{(116,1),(119,1),(135,1)}
       127:{2,4,6,7}:{(117,1),(120,1),(125,1),(135,1),(136,1)}
       128:{1,3,4,7}:{(118,1),(119,1),(122,1),(137,1)}
       129:{2,3,5,7}:{(119,1),(120,1),(123,1),(135,1),(137,1),(138,1)}
       130:{1,4,5,7}:{(120,1),(124,1),(136,1),(138,1)}
       131:{1,3,4,5}:{(121,1),(122,1),(139,1)}
       132:{2,3,4,6}:{(122,1),(123,1),(137,1),(139,1),(140,1)}
       133:{1,3,5,6}:{(123,1),(124,1),(138,1),(140,1),(141,1)}
       134:{1,5,6,7}:{(125,1),(136,1)}
       135:{2,3,6,7}:{(126,1),(127,1),(129,1),(142,1)}
       136:{1,4,6,7}:{(127,1),(130,1),(134,1),(142,1)}
       137:{2,3,4,7}:{(128,1),(129,1),(132,1),(143,1)}
       138:{1,3,5,7}:{(129,1),(130,1),(133,1),(142,1),(143,1),(144,1)}
       139:{2,3,4,5}:{(131,1),(132,1),(145,1)}
       140:{1,3,4,6}:{(132,1),(133,1),(143,1),(145,1),(146,1)}
       141:{1,2,5,6}:{(133,1),(144,1),(146,1)}
       142:{1,3,6,7}:{(135,1),(136,1),(138,1),(147,1)}
       143:{1,3,4,7}:{(137,1),(138,1),(140,1),(148,1)}
       144:{1,2,5,7}:{(138,1),(141,1),(147,1),(148,1)}
       145:{1,3,4,5}:{(139,1),(140,1),(149,1)}
       146:{1,2,4,6}:{(140,1),(141,1),(148,1),(149,1),(150,1)}
       147:{1,2,6,7}:{(142,1),(144,1)}
       148:{1,2,4,7}:{(143,1),(144,1),(146,1),(151,1)}
       149:{1,2,4,5}:{(145,1),(146,1),(152,1)}
       150:{1,2,3,6}:{(146,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2564 :   0:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(124,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(125,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(12,1),(27,1),(34,1),(61,1)}
         4:{1,3,4,7}:{(1,1),(7,1),(9,1),(10,1),(61,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(122,1),(123,1)}
         6:{1,3,4,5,7}:{(7,1),(12,1),(13,1),(34,1),(36,1),(61,1),(68,1),(90,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
         8:{1,2,4,6}:{(3,1),(16,1),(17,1),(23,1),(47,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(19,1),(77,1),(116,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1),(20,1),(47,1),(118,1),(119,1)}
        11:{1,2,5}:{(5,1),(20,1)}
        12:{2,4,5,7}:{(6,1),(15,1),(22,1),(23,1),(51,1),(53,1),(77,1)}
        13:{1,3,4,6}:{(6,1),(16,1),(23,1),(24,1),(47,1),(80,1)}
        14:{1,2,4,6,7}:{(8,1),(26,1),(27,1),(35,1),(61,1)}
        15:{2,3,5,7}:{(7,1),(9,1),(12,1),(28,1),(29,1),(33,1)}
        16:{1,3,6}:{(7,1),(8,1),(29,1)}
        17:{1,2,5,6}:{(8,1),(11,1),(27,1),(30,1),(38,1),(122,1)}
        18:{1,3,4,7}:{(9,1),(28,1),(31,1),(32,1),(89,1),(109,1)}
        19:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(33,1),(64,1),(111,1),(113,1)}
        20:{1,3,5}:{(10,1),(11,1),(33,1),(34,1)}
        21:{1,3,4,6,7}:{(13,1),(26,1),(35,1),(36,1),(41,1),(61,1),(74,1),(90,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(37,1),(67,1),(69,1),(89,1)}
        23:{2,4,6}:{(12,1),(13,1),(29,1),(37,1),(38,1)}
        24:{1,3,5,6}:{(13,1),(36,1),(38,1),(39,1),(72,1)}
        25:{1,3,5,6,7}:{(36,1),(40,1),(41,1),(74,1)}
        26:{1,3,6,7}:{(14,1),(16,1),(42,1),(43,1),(108,1)}
        27:{1,2,5,7}:{(14,1),(17,1),(43,1),(53,1),(124,1)}
        28:{1,3,5,7}:{(15,1),(18,1),(22,1),(44,1),(45,1),(50,1)}
        29:{2,3,6}:{(15,1),(16,1),(23,1),(45,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(20,1),(43,1),(46,1),(47,1),(107,1),(118,1)}
        31:{1,2,4,7}:{(18,1),(44,1),(48,1),(49,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(49,1),(50,1),(79,1),(101,1),(103,1)}
        33:{2,3,5}:{(19,1),(20,1),(50,1),(51,1)}
        34:{1,4,5}:{(20,1),(47,1),(51,1)}
        35:{2,4,6,7}:{(21,1),(23,1),(42,1),(52,1),(53,1),(77,1)}
        36:{1,3,5,7}:{(21,1),(24,1),(53,1),(54,1),(85,1)}
        37:{1,4,6}:{(22,1),(23,1),(45,1),(55,1)}
        38:{2,5,6}:{(23,1),(24,1),(53,1),(55,1)}
        39:{1,4,5,6}:{(24,1),(47,1),(54,1),(56,1),(107,1)}
        40:{2,5,6,7}:{(25,1),(53,1),(57,1),(58,1)}
        41:{1,4,6,7}:{(25,1),(54,1),(58,1),(108,1)}
        42:{2,3,6,7}:{(26,1),(29,1),(35,1),(59,1),(60,1),(74,1),(98,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(30,1),(60,1),(61,1),(115,1),(121,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(62,1),(66,1)}
        45:{1,3,6}:{(28,1),(29,1),(37,1),(62,1)}
        46:{2,3,5,6}:{(29,1),(30,1),(33,1),(38,1),(60,1),(63,1),(64,1),(72,1),(97,1),(111,1)}
        47:{1,4,6}:{(30,1),(34,1),(61,1),(64,1)}
        48:{1,2,3,7}:{(31,1),(65,1),(109,1)}
        49:{1,2,4,6}:{(31,1),(32,1),(62,1),(65,1),(66,1),(93,1)}
        50:{1,3,5}:{(32,1),(33,1),(66,1),(67,1)}
        51:{2,4,5}:{(33,1),(34,1),(64,1),(67,1),(68,1)}
        52:{1,4,6,7}:{(35,1),(37,1),(59,1),(69,1),(89,1)}
        53:{2,5,7}:{(35,1),(36,1),(38,1),(69,1)}
        54:{1,4,5,7}:{(36,1),(39,1),(41,1),(61,1),(70,1),(115,1)}
        55:{1,5,6}:{(37,1),(38,1),(69,1)}
        56:{2,4,5,6}:{(38,1),(39,1),(64,1),(70,1),(71,1),(72,1),(97,1)}
        57:{1,5,6,7}:{(40,1),(69,1),(73,1)}
        58:{2,4,6,7}:{(40,1),(41,1),(70,1),(73,1),(74,1),(98,1)}
        59:{1,3,6,7}:{(42,1),(45,1),(52,1),(75,1),(76,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(46,1),(53,1),(76,1),(77,1),(85,1),(106,1),(116,1)}
        61:{1,4,7}:{(43,1),(47,1),(77,1)}
        62:{1,2,6}:{(44,1),(45,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(50,1),(55,1),(76,1),(78,1),(79,1),(101,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(77,1),(79,1),(80,1)}
        65:{1,2,3,6}:{(48,1),(49,1),(81,1),(101,1)}
        66:{1,2,5}:{(49,1),(50,1)}
        67:{1,4,5}:{(50,1),(51,1),(79,1)}
        68:{3,4,5}:{(51,1),(80,1)}
        69:{1,5,7}:{(52,1),(53,1),(55,1)}
        70:{2,4,5,7}:{(53,1),(54,1),(56,1),(58,1),(77,1),(84,1),(85,1),(106,1)}
        71:{1,4,5,6}:{(55,1),(56,1),(79,1),(84,1),(86,1)}
        72:{3,5,6}:{(56,1),(80,1),(85,1)}
        73:{1,4,6,7}:{(57,1),(58,1),(84,1),(87,1)}
        74:{3,6,7}:{(58,1),(85,1)}
        75:{1,2,6,7}:{(59,1),(62,1),(88,1),(98,1)}
        76:{1,3,5,7}:{(59,1),(60,1),(63,1),(69,1),(88,1),(89,1),(109,1)}
        77:{2,4,7}:{(60,1),(61,1),(64,1),(89,1),(90,1)}
        78:{1,2,5,6}:{(62,1),(63,1),(66,1),(88,1),(91,1),(97,1)}
        79:{1,4,6}:{(63,1),(64,1),(67,1),(89,1)}
        80:{3,4,6}:{(64,1),(68,1),(72,1),(90,1)}
        81:{1,2,3,5}:{(65,1),(66,1),(93,1),(94,1)}
        82:{1,2,4,5}:{(66,1),(67,1),(91,1),(93,1),(94,1),(95,1)}
        83:{1,3,4,5}:{(67,1),(68,1),(92,1),(94,1),(95,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(89,1),(96,1)}
        85:{3,5,7}:{(70,1),(72,1),(74,1),(90,1)}
        86:{1,3,5,6}:{(71,1),(72,1),(92,1),(96,1),(97,1)}
        87:{1,3,6,7}:{(73,1),(74,1),(96,1),(98,1)}
        88:{1,2,5,7}:{(75,1),(76,1),(78,1),(99,1),(106,1)}
        89:{1,4,7}:{(76,1),(77,1),(79,1)}
        90:{3,4,7}:{(77,1),(80,1),(85,1)}
        91:{1,2,4,6}:{(78,1),(79,1),(82,1),(99,1),(101,1),(102,1)}
        92:{1,3,4,6}:{(79,1),(80,1),(83,1),(86,1),(100,1),(101,1),(102,1)}
        93:{1,2,4}:{(81,1),(103,1)}
        94:{1,3,5}:{(82,1),(101,1),(103,1),(104,1)}
        95:{2,4,5}:{(83,1),(102,1),(104,1),(105,1)}
        96:{1,3,5,7}:{(84,1),(85,1),(86,1),(87,1),(100,1),(106,1)}
        97:{2,5,6}:{(86,1),(102,1),(106,1),(107,1)}
        98:{2,6,7}:{(87,1),(106,1),(108,1)}
        99:{1,2,4,7}:{(88,1),(89,1),(91,1),(109,1),(110,1)}
       100:{1,3,4,7}:{(89,1),(90,1),(92,1),(96,1),(109,1),(110,1)}
       101:{1,3,6}:{(91,1),(94,1),(109,1),(111,1)}
       102:{2,4,6}:{(92,1),(95,1),(97,1),(110,1),(111,1),(112,1)}
       103:{1,3,4}:{(93,1),(94,1),(113,1)}
       104:{2,3,5}:{(94,1),(95,1),(111,1),(113,1),(114,1)}
       105:{1,4,5}:{(95,1),(112,1),(114,1)}
       106:{2,5,7}:{(96,1),(97,1),(98,1),(110,1),(115,1)}
       107:{1,5,6}:{(97,1),(112,1),(115,1)}
       108:{1,6,7}:{(98,1),(115,1)}
       109:{1,3,7}:{(99,1),(101,1),(116,1)}
       110:{2,4,7}:{(100,1),(102,1),(106,1),(116,1),(117,1)}
       111:{2,3,6}:{(101,1),(102,1),(104,1),(116,1),(118,1)}
       112:{1,4,6}:{(102,1),(105,1),(107,1),(117,1),(118,1)}
       113:{2,3,4}:{(103,1),(104,1),(119,1)}
       114:{1,3,5}:{(104,1),(105,1),(118,1),(119,1),(120,1)}
       115:{1,5,7}:{(106,1),(107,1),(108,1),(117,1)}
       116:{2,3,7}:{(109,1),(110,1),(111,1),(121,1)}
       117:{1,4,7}:{(110,1),(112,1),(115,1),(121,1)}
       118:{1,3,6}:{(111,1),(112,1),(114,1),(121,1),(122,1)}
       119:{1,3,4}:{(113,1),(114,1),(123,1)}
       120:{1,2,5}:{(114,1),(122,1),(123,1)}
       121:{1,3,7}:{(116,1),(117,1),(118,1),(124,1)}
       122:{1,2,6}:{(118,1),(120,1),(124,1)}
       123:{1,2,4}:{(119,1),(120,1),(125,1)}
       124:{1,2,7}:{(121,1),(122,1)}
       125:{1,2,3}:{(123,1)}

2565 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2566 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2567 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2568 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2569 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(23,1),(55,1),(116,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(34,1),(72,1),(107,1),(108,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(33,1),(105,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(49,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(21,1),(92,1),(94,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(51,1),(55,1),(90,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(32,1),(43,1),(64,1),(80,1),(100,1),(104,1),(107,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(67,1),(102,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(36,1),(72,1),(74,1),(77,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(75,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(59,1),(82,1),(95,1),(111,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(21,1),(22,1),(50,1),(89,1),(92,1)}
        13:{2,3,4,6}:{(7,1),(20,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(88,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(58,1),(91,1)}
        17:{2,4,5,6,7}:{(10,1),(27,1),(28,1),(90,1),(93,1)}
        18:{1,2,3,5,6}:{(19,1),(29,1),(30,1),(59,1),(95,1),(97,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(33,1),(67,1),(102,1),(104,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(32,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(12,1),(15,1),(36,1),(37,1),(70,1),(74,1),(80,1),(100,1)}
        23:{2,3,4,5}:{(13,1),(34,1),(67,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1),(36,1),(102,1)}
        26:{2,5,6,7}:{(15,1),(16,1),(104,1)}
        27:{1,4,5,6,7}:{(16,1),(17,1),(41,1),(74,1),(107,1)}
        28:{3,4,5,6,7}:{(17,1),(106,1),(108,1)}
        29:{1,2,4,6}:{(18,1),(32,1),(42,1),(43,1),(44,1)}
        30:{1,2,3,5,7}:{(18,1),(33,1),(44,1),(45,1),(78,1),(81,1)}
        31:{1,2,3,5,6}:{(19,1),(46,1),(47,1),(82,1),(111,1),(113,1)}
        32:{2,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        33:{2,3,5,7}:{(19,1),(21,1),(50,1),(51,1),(89,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(49,1),(59,1),(82,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(50,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(25,1),(51,1),(95,1),(111,1)}
        37:{1,2,5,6,7}:{(22,1),(26,1),(54,1),(89,1),(97,1),(113,1)}
        38:{2,3,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(56,1),(86,1),(115,1)}
        39:{2,3,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(57,1),(58,1),(114,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(57,1),(58,1),(116,1)}
        42:{1,3,4,6}:{(29,1),(48,1),(59,1),(60,1),(95,1)}
        43:{1,2,4,5}:{(29,1),(49,1),(59,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(60,1)}
        45:{1,2,3,6,7}:{(30,1),(51,1),(62,1),(95,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(64,1),(65,1)}
        47:{1,2,3,5,7}:{(31,1),(33,1),(65,1),(66,1),(98,1),(101,1)}
        48:{2,3,4,6}:{(32,1),(42,1),(63,1),(67,1),(68,1),(102,1)}
        49:{2,4,5}:{(32,1),(34,1),(67,1)}
        50:{2,4,7}:{(32,1),(33,1),(35,1)}
        51:{2,3,6,7}:{(33,1),(36,1),(70,1),(102,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(73,1),(78,1),(98,1),(110,1),(120,1),(122,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(72,1),(73,1),(74,1),(106,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(71,1),(73,1),(74,1),(109,1),(119,1)}
        55:{2,3,4,6}:{(38,1),(72,1),(75,1),(102,1),(121,1)}
        56:{2,3,5,7}:{(39,1),(73,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(40,1),(74,1),(76,1),(77,1),(121,1)}
        58:{3,5,6,7}:{(41,1),(77,1),(123,1)}
        59:{1,3,5}:{(42,1),(43,1),(67,1)}
        60:{1,3,4,7}:{(42,1),(44,1),(68,1),(78,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(69,1),(78,1),(80,1),(81,1),(110,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(79,1),(80,1),(81,1)}
        63:{1,3,4,6}:{(46,1),(48,1),(82,1),(83,1),(111,1)}
        64:{1,2,4,5}:{(46,1),(49,1),(82,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(83,1)}
        66:{1,2,3,6,7}:{(47,1),(51,1),(85,1),(111,1)}
        67:{2,3,5}:{(48,1),(49,1),(59,1),(82,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(60,1),(83,1),(86,1)}
        69:{2,4,5,7}:{(49,1),(50,1),(52,1),(86,1),(88,1),(89,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(53,1),(88,1),(89,1)}
        71:{2,3,5,6,7}:{(51,1),(54,1),(89,1),(90,1),(114,1),(117,1)}
        72:{1,3,4,6}:{(52,1),(55,1),(88,1),(91,1),(95,1),(111,1),(118,1),(124,1),(125,1)}
        73:{1,3,5,7}:{(53,1),(56,1),(89,1),(91,1),(92,1),(117,1)}
        74:{1,4,6,7}:{(54,1),(57,1),(90,1),(92,1),(118,1),(124,1)}
        75:{2,3,5,6}:{(55,1),(56,1),(91,1),(93,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(94,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(94,1),(125,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(61,1),(86,1),(95,1)}
        79:{1,3,4,6,7}:{(60,1),(62,1),(87,1),(95,1),(96,1),(118,1)}
        80:{1,2,4,6}:{(61,1),(88,1),(95,1),(97,1),(118,1)}
        81:{1,2,5,7}:{(62,1),(89,1),(96,1),(97,1)}
        82:{1,3,5}:{(63,1),(64,1),(67,1)}
        83:{1,3,4,7}:{(63,1),(65,1),(68,1),(98,1)}
        84:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(98,1),(100,1),(101,1),(120,1)}
        85:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(99,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(69,1),(78,1),(98,1),(102,1)}
        87:{2,3,4,6,7}:{(68,1),(70,1),(79,1),(99,1),(102,1),(103,1),(106,1),(121,1)}
        88:{2,4,6}:{(69,1),(72,1),(102,1),(104,1)}
        89:{2,5,7}:{(70,1),(73,1),(104,1)}
        90:{2,4,6,7}:{(71,1),(74,1),(105,1),(106,1),(121,1)}
        91:{1,3,5,6}:{(72,1),(73,1),(75,1),(104,1),(107,1),(123,1)}
        92:{1,4,5,7}:{(73,1),(74,1),(76,1),(105,1),(107,1)}
        93:{2,4,5,6}:{(75,1),(76,1),(107,1),(108,1),(121,1)}
        94:{3,4,5,7}:{(76,1),(77,1),(108,1)}
        95:{1,3,6}:{(78,1),(80,1),(102,1)}
        96:{1,3,5,7}:{(79,1),(81,1),(103,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(104,1),(109,1)}
        98:{1,3,5,7}:{(82,1),(83,1),(84,1),(86,1),(111,1)}
        99:{1,3,4,6,7}:{(83,1),(85,1),(87,1),(111,1),(112,1),(124,1)}
       100:{1,2,4,6}:{(84,1),(88,1),(111,1),(113,1),(124,1)}
       101:{1,2,5,7}:{(85,1),(89,1),(112,1),(113,1)}
       102:{2,3,6}:{(86,1),(88,1),(95,1),(111,1)}
       103:{2,3,5,7}:{(87,1),(89,1),(96,1),(112,1),(114,1),(115,1),(117,1)}
       104:{2,5,6}:{(88,1),(89,1),(91,1)}
       105:{2,4,5,7}:{(89,1),(90,1),(92,1),(116,1),(117,1)}
       106:{3,4,6,7}:{(90,1),(117,1),(125,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(93,1),(116,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,3,5,6}:{(95,1),(96,1),(97,1),(114,1),(118,1)}
       110:{1,4,5,7}:{(96,1),(115,1),(118,1)}
       111:{1,3,6}:{(98,1),(100,1),(102,1)}
       112:{1,3,5,7}:{(99,1),(101,1),(103,1),(119,1),(120,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(104,1),(119,1)}
       114:{2,3,5,6}:{(102,1),(103,1),(104,1),(109,1),(119,1),(121,1),(123,1)}
       115:{2,4,5,7}:{(103,1),(110,1),(120,1),(121,1),(122,1)}
       116:{2,4,5,6}:{(104,1),(105,1),(107,1),(121,1),(123,1)}
       117:{3,5,7}:{(105,1),(106,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(121,1)}
       119:{1,3,5,6}:{(111,1),(112,1),(113,1),(114,1),(124,1)}
       120:{1,4,5,7}:{(112,1),(115,1),(124,1)}
       121:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       122:{3,4,5,7}:{(115,1),(117,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(121,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2570 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2571 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2572 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(19,1),(59,1),(62,1),(81,1),(84,1),(86,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(28,1),(49,1),(75,1),(94,1),(98,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(36,1),(59,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(20,1),(36,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(90,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(11,1),(47,1),(74,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(28,1),(46,1),(69,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(11,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(28,1),(49,1),(76,1),(80,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(19,1),(35,1),(59,1),(62,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(86,1)}
        12:{1,3,4,5,7}:{(7,1),(18,1),(20,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(40,1),(64,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(24,1),(47,1),(73,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(28,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(29,1),(47,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(69,1),(76,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(28,1),(31,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(49,1),(52,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(18,1),(34,1),(57,1),(83,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(34,1),(35,1),(36,1),(59,1),(85,1)}
        25:{2,3,4,6,7}:{(16,1),(35,1),(37,1),(39,1),(62,1),(85,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(36,1),(40,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(41,1),(59,1)}
        28:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(41,1),(64,1)}
        30:{2,3,4,5,7}:{(20,1),(35,1),(39,1),(42,1),(67,1),(85,1),(100,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(41,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(64,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(28,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(45,1),(47,1)}
        36:{1,4,5,7}:{(24,1),(26,1),(46,1),(47,1),(94,1)}
        37:{1,3,4,6,7}:{(25,1),(26,1),(47,1),(49,1),(50,1),(51,1),(73,1),(74,1),(94,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(48,1),(49,1),(50,1),(52,1)}
        39:{2,3,4,6}:{(28,1),(30,1),(45,1),(51,1),(76,1),(92,1)}
        40:{1,4,6}:{(28,1),(29,1),(31,1)}
        41:{1,2,5,6}:{(29,1),(32,1),(52,1),(69,1)}
        42:{1,3,4,5,7}:{(30,1),(31,1),(47,1),(51,1),(54,1),(55,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(52,1),(54,1),(55,1),(56,1),(78,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(53,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(39,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(40,1),(57,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(36,1),(37,1),(57,1),(59,1)}
        48:{1,2,4,5,7}:{(36,1),(38,1),(58,1),(59,1),(60,1),(85,1)}
        49:{2,4,6,7}:{(37,1),(59,1),(62,1),(63,1),(85,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(64,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(42,1),(57,1),(63,1),(64,1),(86,1),(99,1)}
        52:{1,2,4,6}:{(40,1),(41,1),(43,1),(63,1),(64,1)}
        53:{1,2,3,5,6}:{(41,1),(44,1),(64,1),(65,1),(82,1),(88,1)}
        54:{2,4,5,7}:{(42,1),(59,1),(63,1),(67,1),(85,1),(100,1)}
        55:{1,3,5,7}:{(43,1),(64,1),(67,1),(68,1),(88,1)}
        56:{1,2,4,7}:{(44,1),(65,1),(68,1),(85,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(52,1),(69,1),(70,1),(78,1),(92,1)}
        59:{2,5,7}:{(47,1),(49,1),(69,1)}
        60:{1,3,5,7}:{(48,1),(50,1),(70,1),(72,1),(73,1)}
        61:{1,2,4,6,7}:{(49,1),(71,1),(74,1),(75,1),(94,1)}
        62:{2,3,6,7}:{(49,1),(50,1),(72,1),(74,1),(76,1)}
        63:{2,4,6}:{(51,1),(54,1),(69,1),(76,1)}
        64:{1,3,6}:{(52,1),(55,1),(76,1)}
        65:{1,2,4,6}:{(53,1),(56,1),(77,1),(78,1),(92,1)}
        66:{1,2,4,5,7}:{(54,1),(71,1),(75,1),(79,1),(94,1),(98,1),(103,1),(104,1)}
        67:{2,3,5,7}:{(54,1),(55,1),(76,1),(79,1),(80,1),(97,1)}
        68:{1,3,4,7}:{(55,1),(56,1),(77,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(63,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(64,1),(82,1),(83,1),(88,1)}
        71:{1,2,5,7}:{(59,1),(61,1),(81,1),(84,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(84,1),(85,1)}
        73:{1,3,4,7}:{(60,1),(83,1),(85,1)}
        74:{1,3,6,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{1,2,4,6}:{(63,1),(66,1),(81,1),(86,1),(99,1)}
        76:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        77:{1,3,4,6}:{(64,1),(65,1),(68,1),(87,1),(88,1)}
        78:{1,2,4,5}:{(65,1),(88,1),(100,1)}
        79:{1,3,5,7}:{(66,1),(67,1),(86,1),(90,1),(102,1)}
        80:{2,3,4,7}:{(67,1),(68,1),(85,1),(87,1),(90,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(76,1),(91,1),(92,1),(97,1)}
        83:{1,3,4,6}:{(70,1),(73,1),(92,1),(93,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(91,1),(94,1)}
        85:{2,4,7}:{(72,1),(73,1),(92,1),(94,1)}
        86:{1,3,6}:{(75,1),(76,1),(79,1)}
        87:{2,3,4,6}:{(76,1),(77,1),(80,1),(92,1),(96,1),(97,1)}
        88:{1,3,5}:{(77,1),(78,1),(97,1)}
        89:{1,2,3,5,7}:{(79,1),(95,1),(98,1),(104,1)}
        90:{1,3,4,7}:{(79,1),(80,1),(94,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(86,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(88,1),(100,1)}
        94:{1,4,7}:{(84,1),(85,1),(99,1)}
        95:{1,2,3,6}:{(86,1),(89,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(90,1),(99,1),(101,1),(102,1)}
        97:{2,3,5}:{(87,1),(88,1),(100,1),(102,1)}
        98:{1,2,4,7}:{(89,1),(90,1),(101,1)}
        99:{1,4,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(97,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2573 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(76,1),(134,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(93,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(110,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(94,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(35,1),(115,1),(122,1),(127,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(45,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(38,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(122,1),(128,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(45,1),(70,1),(100,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(45,1),(106,1),(114,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(33,1),(35,1),(122,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(37,1),(38,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(33,1),(38,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(37,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(38,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(58,1),(90,1),(99,1)}
        33:{1,3,4,6,7}:{(24,1),(26,1),(45,1)}
        34:{1,2,3,4,6,7}:{(27,1),(46,1),(55,1),(74,1),(83,1),(108,1)}
        35:{2,3,5,6,7}:{(24,1),(29,1),(45,1),(47,1),(100,1),(106,1)}
        36:{2,3,4,5,6}:{(25,1),(48,1),(49,1),(79,1),(130,1)}
        37:{1,4,5,6}:{(25,1),(28,1),(51,1)}
        38:{2,4,5,7}:{(25,1),(26,1),(29,1),(45,1),(51,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(51,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(33,1),(56,1),(84,1),(118,1)}
        45:{2,4,6,7}:{(33,1),(35,1),(38,1),(58,1)}
        46:{1,2,3,5,7}:{(34,1),(39,1),(59,1),(60,1),(125,1)}
        47:{1,3,5,6,7}:{(35,1),(41,1),(58,1),(61,1),(90,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(62,1),(63,1),(65,1),(95,1),(139,1)}
        49:{2,3,4,5,7}:{(36,1),(38,1),(57,1),(63,1),(98,1),(141,1)}
        50:{1,2,4,5,6}:{(37,1),(40,1),(62,1),(65,1),(66,1),(67,1)}
        51:{1,4,5,7}:{(37,1),(38,1),(41,1),(58,1)}
        52:{1,2,4,5}:{(39,1),(64,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(90,1)}
        56:{2,4,5,6,7}:{(44,1),(45,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(45,1),(49,1),(69,1),(71,1),(106,1),(131,1)}
        58:{1,4,6,7}:{(45,1),(47,1),(51,1)}
        59:{1,2,4,5,7}:{(46,1),(52,1),(72,1),(74,1),(83,1)}
        60:{1,2,3,5,6}:{(46,1),(74,1),(107,1)}
        61:{1,2,5,6,7}:{(47,1),(54,1),(73,1),(100,1)}
        62:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        63:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(71,1),(80,1),(82,1),(113,1),(145,1)}
        64:{1,3,4,5}:{(52,1),(78,1),(81,1)}
        65:{1,3,5,6}:{(50,1),(79,1),(81,1),(82,1)}
        66:{1,2,4,5,7}:{(50,1),(51,1),(54,1),(73,1),(80,1),(82,1),(83,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(81,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(58,1),(84,1),(140,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(63,1),(84,1),(88,1),(90,1),(122,1),(140,1)}
        72:{1,3,4,5,7}:{(59,1),(64,1),(87,1),(89,1),(99,1),(125,1)}
        73:{1,2,4,6,7}:{(58,1),(61,1),(66,1),(88,1),(90,1)}
        74:{1,2,4,6}:{(59,1),(60,1),(89,1)}
        75:{1,2,3,5,6,7}:{(60,1),(61,1),(68,1),(90,1),(92,1),(116,1),(125,1)}
        76:{1,2,3,4,6}:{(86,1),(93,1),(120,1),(126,1)}
        77:{1,2,4,5,6}:{(62,1),(95,1),(96,1),(126,1),(139,1),(142,1)}
        78:{2,3,4,5}:{(64,1),(94,1),(97,1)}
        79:{2,3,5,6}:{(62,1),(65,1),(95,1),(97,1),(98,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(88,1),(98,1)}
        81:{1,3,4,6}:{(64,1),(65,1),(67,1),(97,1),(99,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(90,1),(98,1),(99,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(99,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(71,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(73,1),(100,1),(101,1),(109,1),(131,1)}
        86:{1,2,3,4,7}:{(76,1),(102,1),(138,1)}
        87:{2,3,4,5,7}:{(72,1),(78,1),(103,1),(105,1),(114,1),(137,1)}
        88:{2,4,6,7}:{(71,1),(80,1),(100,1),(106,1)}
        89:{1,3,4,6}:{(72,1),(74,1),(105,1),(107,1)}
        90:{1,3,6,7}:{(73,1),(82,1),(106,1)}
        91:{1,2,4,5,6}:{(74,1),(107,1),(109,1),(130,1)}
        92:{1,2,4,6,7}:{(74,1),(75,1),(83,1),(108,1),(109,1),(131,1)}
        93:{1,2,3,5}:{(76,1),(110,1)}
        94:{1,3,4,5}:{(78,1),(110,1),(112,1)}
        95:{1,3,5,6}:{(77,1),(79,1),(112,1),(113,1)}
        96:{1,2,4,5,7}:{(77,1),(80,1),(104,1),(113,1),(138,1),(145,1),(146,1)}
        97:{2,3,4,6}:{(78,1),(79,1),(81,1),(112,1),(114,1)}
        98:{2,3,5,7}:{(79,1),(80,1),(82,1),(106,1),(113,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(83,1),(114,1)}
       100:{2,5,6,7}:{(84,1),(88,1)}
       101:{1,3,5,6,7}:{(85,1),(90,1),(116,1),(118,1),(125,1)}
       102:{1,2,3,5,7}:{(86,1),(93,1),(119,1),(120,1)}
       103:{1,3,4,5,7}:{(87,1),(94,1),(119,1),(121,1),(128,1),(144,1)}
       104:{1,2,4,6,7}:{(88,1),(96,1),(115,1),(122,1),(140,1)}
       105:{2,3,4,6}:{(87,1),(89,1),(121,1),(123,1)}
       106:{2,3,6,7}:{(88,1),(90,1),(98,1),(122,1)}
       107:{1,3,5,6}:{(89,1),(91,1),(123,1),(125,1)}
       108:{1,3,4,6,7}:{(89,1),(90,1),(92,1),(99,1),(124,1),(125,1)}
       109:{1,2,4,5,7}:{(91,1),(92,1),(125,1),(141,1)}
       110:{1,2,4,5}:{(93,1),(94,1),(126,1)}
       111:{1,2,3,5,6}:{(93,1),(95,1),(120,1),(126,1),(127,1),(142,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(97,1),(126,1),(128,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(122,1),(128,1)}
       114:{2,3,4,7}:{(97,1),(98,1),(99,1),(128,1)}
       115:{1,2,5,6,7}:{(100,1),(104,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(129,1),(131,1),(137,1)}
       117:{1,3,4,5,6}:{(107,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(110,1),(133,1),(138,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,3,4,6}:{(103,1),(105,1),(133,1),(135,1)}
       122:{1,3,6,7}:{(104,1),(106,1),(113,1)}
       123:{2,3,5,6}:{(105,1),(107,1),(130,1),(135,1),(137,1)}
       124:{2,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(131,1),(136,1),(137,1)}
       125:{1,3,5,7}:{(107,1),(108,1),(109,1),(137,1)}
       126:{1,2,4,6}:{(110,1),(111,1),(112,1),(138,1)}
       127:{1,2,3,5,7}:{(111,1),(113,1),(134,1),(138,1),(146,1)}
       128:{1,3,4,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(122,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(123,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(125,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(121,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(127,1),(143,1)}
       135:{1,3,5,6}:{(121,1),(123,1),(139,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(128,1),(140,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(123,1),(124,1),(125,1),(141,1),(144,1)}
       138:{1,2,4,7}:{(126,1),(127,1),(128,1)}
       139:{1,4,5,6}:{(130,1),(135,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(137,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2574 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(93,1),(122,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(110,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(124,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(104,1),(107,1),(111,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(123,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(98,1),(99,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(111,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(85,1),(86,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(65,1),(90,1),(94,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(97,1),(98,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(111,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(84,1),(85,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(42,1),(43,1),(69,1),(141,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(90,1),(97,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(32,1),(52,1),(77,1),(106,1)}
        42:{2,3,4,5,7}:{(31,1),(33,1),(53,1),(54,1),(82,1),(132,1)}
        43:{1,3,4,5,6}:{(31,1),(34,1),(54,1),(55,1),(58,1),(80,1),(145,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(55,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(84,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(84,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(44,1),(64,1),(65,1),(90,1),(120,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(67,1),(97,1),(120,1)}
        54:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(67,1),(68,1),(71,1),(95,1),(140,1)}
        55:{2,4,5,6}:{(43,1),(68,1),(69,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(68,1),(70,1),(71,1),(74,1)}
        58:{1,3,5,6}:{(46,1),(69,1),(71,1),(72,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(70,1),(90,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(71,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(72,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(100,1),(103,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(56,1),(77,1),(131,1)}
        66:{1,2,4,5,6}:{(55,1),(79,1),(80,1),(108,1),(145,1),(146,1)}
        67:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(81,1),(84,1),(111,1),(131,1)}
        68:{2,4,5,7}:{(54,1),(55,1),(81,1),(82,1)}
        69:{2,3,5,6}:{(55,1),(58,1),(80,1),(82,1),(83,1)}
        70:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(81,1),(84,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(82,1),(84,1),(85,1)}
        72:{1,3,4,6}:{(58,1),(61,1),(83,1),(85,1),(86,1)}
        73:{1,2,3,5,6,7}:{(59,1),(60,1),(84,1),(87,1),(89,1),(105,1),(116,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(85,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(86,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(116,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(67,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(70,1),(90,1),(91,1),(102,1),(120,1)}
        79:{1,2,4,5,7}:{(66,1),(68,1),(94,1),(95,1),(123,1),(140,1),(142,1)}
        80:{1,3,5,6}:{(66,1),(69,1),(95,1),(96,1)}
        81:{2,4,6,7}:{(67,1),(68,1),(90,1),(97,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(95,1),(97,1),(98,1)}
        83:{2,3,4,6}:{(69,1),(72,1),(96,1),(98,1),(99,1)}
        84:{1,3,6,7}:{(70,1),(71,1),(97,1)}
        85:{1,3,4,7}:{(71,1),(72,1),(74,1),(98,1)}
        86:{1,3,4,5}:{(72,1),(75,1),(99,1)}
        87:{1,2,4,6,7}:{(73,1),(74,1),(100,1),(102,1),(103,1),(120,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(103,1)}
        89:{1,2,3,5,6}:{(76,1),(103,1),(130,1)}
        90:{2,5,6,7}:{(77,1),(81,1)}
        91:{1,3,5,6,7}:{(78,1),(84,1),(105,1),(106,1),(116,1)}
        92:{1,2,3,5,6}:{(80,1),(107,1),(108,1),(110,1),(136,1),(146,1)}
        93:{1,2,3,4,6}:{(108,1),(109,1),(110,1),(136,1)}
        94:{1,2,4,6,7}:{(79,1),(81,1),(104,1),(111,1),(131,1)}
        95:{1,3,5,7}:{(79,1),(80,1),(82,1),(111,1),(112,1)}
        96:{1,3,4,6}:{(80,1),(83,1),(108,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(81,1),(82,1),(84,1),(111,1)}
        98:{2,3,4,7}:{(82,1),(83,1),(85,1),(112,1)}
        99:{2,3,4,5}:{(83,1),(86,1),(113,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(87,1),(114,1),(116,1),(117,1)}
       101:{1,3,4,5,7}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1)}
       102:{1,2,4,5,7}:{(87,1),(116,1),(118,1),(132,1)}
       103:{1,2,4,6}:{(88,1),(89,1),(117,1)}
       104:{1,2,5,6,7}:{(90,1),(94,1),(119,1),(142,1)}
       105:{2,3,5,6,7}:{(90,1),(91,1),(97,1),(119,1),(120,1),(128,1)}
       106:{1,3,4,6,7}:{(91,1),(120,1),(121,1)}
       107:{1,2,3,5,7}:{(92,1),(95,1),(122,1),(123,1),(142,1)}
       108:{1,2,4,6}:{(92,1),(96,1),(123,1),(124,1)}
       109:{1,2,3,4,7}:{(93,1),(123,1),(125,1)}
       110:{1,2,3,5}:{(93,1),(124,1)}
       111:{1,3,6,7}:{(94,1),(95,1),(97,1)}
       112:{1,3,4,7}:{(95,1),(96,1),(98,1),(123,1)}
       113:{1,3,4,5}:{(96,1),(99,1),(124,1)}
       114:{2,3,4,6,7}:{(97,1),(98,1),(100,1),(120,1),(126,1),(128,1),(129,1)}
       115:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(127,1),(128,1),(129,1)}
       116:{1,3,5,7}:{(100,1),(102,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(101,1),(103,1),(129,1),(130,1)}
       118:{1,2,4,5,6}:{(102,1),(103,1),(130,1),(141,1)}
       119:{1,3,5,6,7}:{(104,1),(105,1),(111,1),(131,1),(137,1)}
       120:{2,4,6,7}:{(105,1),(106,1),(131,1),(132,1)}
       121:{1,3,4,5,7}:{(106,1),(116,1),(132,1),(133,1)}
       122:{1,2,3,6,7}:{(107,1),(111,1),(134,1),(136,1)}
       123:{1,2,4,7}:{(107,1),(108,1),(112,1)}
       124:{1,2,4,5}:{(108,1),(110,1),(113,1)}
       125:{1,2,3,5,7}:{(109,1),(110,1),(135,1),(136,1)}
       126:{1,3,4,6,7}:{(111,1),(112,1),(114,1),(131,1),(134,1),(137,1),(138,1)}
       127:{1,3,4,5,7}:{(112,1),(113,1),(115,1),(135,1),(137,1),(138,1)}
       128:{2,3,5,7}:{(114,1),(116,1),(132,1),(137,1),(139,1)}
       129:{2,3,4,6}:{(115,1),(117,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(117,1),(118,1),(139,1)}
       131:{1,4,6,7}:{(119,1),(120,1),(140,1)}
       132:{2,4,5,7}:{(120,1),(121,1),(128,1),(140,1),(141,1)}
       133:{1,3,4,5,6}:{(121,1),(130,1),(141,1)}
       134:{1,2,4,6,7}:{(122,1),(123,1),(126,1),(142,1),(143,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(127,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(125,1),(143,1)}
       137:{1,3,5,7}:{(126,1),(128,1),(140,1),(142,1),(144,1)}
       138:{1,3,4,6}:{(127,1),(129,1),(143,1),(144,1)}
       139:{2,3,5,6}:{(128,1),(129,1),(130,1),(141,1),(144,1)}
       140:{1,4,5,7}:{(131,1),(132,1),(137,1),(145,1)}
       141:{2,4,5,6}:{(132,1),(133,1),(139,1),(145,1)}
       142:{1,2,5,7}:{(134,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(145,1),(146,1)}
       145:{1,4,5,6}:{(140,1),(141,1),(144,1)}
       146:{1,2,5,6}:{(142,1),(143,1),(144,1)}

2575 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(18,1),(98,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(8,1),(112,1),(137,1)}
         4:{1,2,4,5}:{(2,1),(6,1),(9,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(25,1),(27,1)}
         6:{1,3,4,5}:{(4,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(18,1),(43,1),(125,1),(146,1)}
         8:{1,2,3,6}:{(3,1),(15,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(18,1),(42,1),(43,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(24,1),(26,1),(59,1),(113,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(24,1),(27,1)}
        16:{1,2,3,6,7}:{(8,1),(10,1),(28,1),(60,1),(137,1)}
        17:{1,2,4,5,6}:{(9,1),(25,1),(27,1),(29,1),(45,1),(58,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(26,1)}
        19:{1,2,3,4,7}:{(11,1),(31,1),(32,1),(102,1)}
        20:{1,2,3,5}:{(11,1),(33,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(33,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(39,1),(75,1),(99,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(38,1),(39,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,5,6}:{(14,1),(17,1),(38,1),(42,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(39,1),(42,1)}
        27:{1,2,5,6}:{(15,1),(40,1),(43,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(43,1),(146,1),(153,1)}
        29:{1,2,4,5,7}:{(17,1),(18,1),(42,1),(43,1),(44,1),(63,1),(77,1)}
        30:{1,3,4,5,6}:{(25,1),(45,1),(46,1),(58,1),(91,1)}
        31:{1,2,3,4,6}:{(19,1),(47,1),(49,1),(83,1)}
        32:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(48,1),(49,1),(51,1)}
        33:{1,2,4,5}:{(20,1),(21,1),(50,1)}
        34:{1,2,3,6}:{(20,1),(50,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(48,1),(52,1),(54,1),(82,1),(89,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(50,1),(53,1),(54,1)}
        37:{2,3,4,6}:{(22,1),(24,1),(52,1),(55,1)}
        38:{2,3,5,6}:{(23,1),(25,1),(45,1),(53,1),(57,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,6}:{(24,1),(27,1),(55,1),(58,1),(59,1)}
        41:{1,3,4,6,7}:{(24,1),(26,1),(28,1),(56,1),(59,1),(60,1),(94,1),(139,1),(152,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(59,1)}
        44:{1,2,4,6,7}:{(29,1),(60,1),(61,1),(80,1),(94,1)}
        45:{2,4,5,6}:{(30,1),(38,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(42,1),(63,1),(64,1),(77,1),(108,1)}
        47:{1,2,3,5}:{(31,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(65,1),(67,1),(70,1),(102,1),(103,1)}
        49:{1,2,3,6}:{(32,1),(67,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(36,1),(69,1),(70,1)}
        51:{1,2,3,7}:{(34,1),(70,1)}
        52:{1,3,4,6}:{(35,1),(37,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(62,1),(69,1),(73,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(70,1),(73,1)}
        55:{2,3,5,6}:{(37,1),(40,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6,7}:{(37,1),(39,1),(41,1),(72,1),(75,1),(76,1),(109,1),(129,1),(148,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(42,1),(63,1),(73,1),(76,1)}
        58:{1,4,5,6}:{(40,1),(74,1),(77,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(43,1),(75,1),(77,1)}
        60:{1,3,6,7}:{(42,1),(44,1),(76,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(78,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(53,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(57,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(60,1),(80,1),(81,1),(94,1),(122,1)}
        65:{1,2,4,5}:{(47,1),(82,1),(83,1)}
        66:{1,2,3,5,6}:{(47,1),(49,1),(83,1),(84,1),(85,1),(115,1)}
        67:{1,2,4,6}:{(48,1),(49,1),(52,1),(85,1)}
        68:{1,2,3,6,7}:{(49,1),(51,1),(84,1),(86,1),(141,1)}
        69:{1,2,5,6}:{(50,1),(53,1),(87,1)}
        70:{1,2,4,7}:{(50,1),(51,1),(54,1),(87,1)}
        71:{1,3,5,6}:{(52,1),(55,1),(85,1),(88,1),(89,1)}
        72:{1,3,4,6,7}:{(52,1),(54,1),(56,1),(86,1),(89,1),(90,1),(116,1),(121,1),(141,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(57,1),(79,1),(87,1),(90,1)}
        74:{2,4,5,6}:{(55,1),(58,1),(88,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(92,1)}
        76:{2,3,6,7}:{(57,1),(60,1),(80,1),(90,1)}
        77:{1,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        78:{1,3,5,6,7}:{(59,1),(60,1),(61,1),(93,1),(94,1),(150,1),(152,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(73,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(76,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(124,1)}
        82:{1,3,4,5}:{(65,1),(99,1),(100,1)}
        83:{1,2,4,6}:{(65,1),(66,1),(100,1),(102,1)}
        84:{1,2,3,5,7}:{(66,1),(68,1),(102,1),(103,1),(130,1)}
        85:{1,2,5,6}:{(67,1),(71,1),(103,1)}
        86:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(72,1),(102,1),(103,1),(104,1)}
        87:{1,2,5,7}:{(69,1),(70,1),(73,1),(104,1)}
        88:{1,4,5,6}:{(71,1),(74,1),(106,1)}
        89:{1,3,5,7}:{(71,1),(72,1),(75,1),(103,1),(106,1)}
        90:{1,3,6,7}:{(73,1),(76,1),(95,1),(104,1)}
        91:{3,4,5,6}:{(74,1),(108,1)}
        92:{2,4,5,7}:{(74,1),(75,1),(77,1),(106,1),(108,1),(109,1)}
        93:{2,3,5,6,7}:{(75,1),(76,1),(78,1),(96,1),(107,1),(109,1),(124,1),(144,1),(148,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(109,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(90,1),(110,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(110,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(111,1),(150,1)}
        98:{1,2,3,4}:{(112,1)}
        99:{2,3,4,5}:{(82,1),(113,1),(114,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(114,1),(115,1),(116,1)}
       101:{1,2,4,5,6}:{(83,1),(85,1),(88,1),(115,1),(117,1),(119,1)}
       102:{1,2,4,7}:{(83,1),(84,1),(116,1)}
       103:{1,2,5,7}:{(85,1),(86,1),(89,1)}
       104:{1,2,6,7}:{(87,1),(90,1)}
       105:{1,3,4,5,6}:{(88,1),(91,1),(115,1),(119,1),(120,1)}
       106:{1,4,5,7}:{(88,1),(89,1),(92,1),(121,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(93,1),(110,1),(118,1),(121,1),(141,1)}
       108:{3,4,5,7}:{(91,1),(92,1),(122,1)}
       109:{2,4,6,7}:{(92,1),(93,1),(94,1),(121,1),(122,1)}
       110:{1,5,6,7}:{(95,1),(96,1)}
       111:{2,4,5,6,7}:{(96,1),(97,1),(109,1),(123,1),(124,1),(144,1)}
       112:{1,2,3,5}:{(98,1),(125,1),(126,1)}
       113:{1,3,4,5}:{(99,1),(125,1),(127,1)}
       114:{2,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       115:{1,3,5,6}:{(100,1),(101,1),(128,1),(130,1)}
       116:{1,3,4,7}:{(100,1),(102,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(106,1),(130,1),(131,1),(133,1)}
       118:{1,2,5,6,7}:{(103,1),(104,1),(107,1),(131,1),(144,1)}
       119:{2,4,5,6}:{(105,1),(128,1),(132,1),(133,1)}
       120:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(130,1),(133,1),(134,1)}
       121:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       122:{3,4,6,7}:{(108,1),(109,1),(124,1)}
       123:{1,4,5,6,7}:{(110,1),(111,1),(121,1),(135,1)}
       124:{3,5,6,7}:{(111,1),(122,1)}
       125:{1,2,4,5}:{(112,1),(113,1),(136,1)}
       126:{1,2,3,6}:{(112,1),(136,1),(137,1)}
       127:{1,3,4,6}:{(113,1),(114,1),(136,1),(138,1),(139,1)}
       128:{2,3,5,6}:{(114,1),(115,1),(119,1),(138,1),(140,1)}
       129:{2,3,4,7}:{(114,1),(116,1),(139,1),(140,1)}
       130:{1,3,5,7}:{(115,1),(116,1),(117,1),(140,1),(141,1)}
       131:{1,2,4,6,7}:{(117,1),(118,1),(121,1),(141,1),(143,1)}
       132:{1,4,5,6}:{(119,1),(138,1),(142,1)}
       133:{2,4,5,7}:{(119,1),(120,1),(140,1),(142,1),(143,1)}
       134:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(135,1),(141,1),(143,1)}
       135:{1,3,5,6,7}:{(123,1),(124,1),(134,1),(144,1)}
       136:{1,2,4,6}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       137:{1,2,3,7}:{(126,1),(146,1)}
       138:{1,3,5,6}:{(127,1),(128,1),(132,1),(145,1),(147,1)}
       139:{1,3,4,7}:{(127,1),(129,1),(146,1),(147,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(147,1),(148,1)}
       141:{1,3,6,7}:{(130,1),(131,1),(148,1)}
       142:{1,4,5,7}:{(132,1),(133,1),(147,1),(149,1)}
       143:{2,4,6,7}:{(133,1),(134,1),(144,1),(148,1),(149,1)}
       144:{2,5,6,7}:{(135,1),(143,1),(150,1)}
       145:{1,2,5,6}:{(136,1),(138,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(139,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{2,3,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,4,6,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,5,6,7}:{(144,1),(149,1)}
       151:{1,2,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,6,7}:{(151,1),(152,1)}

2576 :   0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(83,1)}
         1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(15,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(102,1),(135,1)}
         3:{1,2,3,5}:{(1,1),(7,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(9,1),(29,1),(30,1),(119,1),(145,1)}
         5:{1,2,3,6}:{(2,1),(9,1)}
         6:{1,3,4,5,7}:{(4,1),(12,1),(13,1),(14,1),(38,1),(43,1),(103,1),(137,1)}
         7:{1,2,4,5}:{(3,1),(14,1),(15,1)}
         8:{1,2,3,5,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(42,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(13,1),(17,1)}
        10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(82,1),(135,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(25,1),(87,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(26,1),(53,1),(61,1),(84,1),(123,1)}
        13:{1,3,4,6}:{(6,1),(9,1),(22,1),(23,1)}
        14:{1,3,4,5}:{(7,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(27,1),(29,1)}
        16:{1,2,3,5,7}:{(8,1),(10,1),(29,1),(30,1),(62,1)}
        17:{1,2,5,6}:{(9,1),(23,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(10,1),(24,1),(29,1),(30,1),(145,1),(153,1)}
        19:{1,2,3,4,6}:{(11,1),(31,1),(33,1),(65,1)}
        20:{1,2,3,5,7}:{(11,1),(31,1),(32,1),(33,1),(39,1),(78,1)}
        21:{1,3,4,5,7}:{(12,1),(32,1),(34,1),(40,1),(64,1),(70,1),(80,1),(106,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(34,1),(35,1)}
        23:{1,3,5,6}:{(13,1),(17,1),(35,1),(37,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(18,1),(36,1),(38,1),(43,1),(76,1),(82,1),(137,1),(151,1)}
        25:{1,2,3,4}:{(39,1)}
        26:{2,3,4,5}:{(14,1),(40,1),(41,1)}
        27:{1,3,4,6}:{(14,1),(15,1),(41,1),(42,1),(43,1)}
        28:{1,2,4,5,6}:{(15,1),(17,1),(37,1),(42,1),(44,1),(74,1)}
        29:{1,2,4,7}:{(15,1),(16,1),(43,1)}
        30:{1,2,5,7}:{(17,1),(18,1),(38,1)}
        31:{1,2,3,5}:{(19,1),(46,1)}
        32:{1,2,4,5,7}:{(20,1),(21,1),(46,1),(48,1),(57,1),(87,1),(88,1),(99,1)}
        33:{1,2,3,6}:{(20,1),(48,1)}
        34:{1,3,4,6}:{(21,1),(22,1),(48,1),(50,1)}
        35:{2,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(53,1)}
        36:{2,3,4,6,7}:{(22,1),(24,1),(51,1),(53,1),(61,1),(93,1),(101,1),(123,1),(147,1)}
        37:{1,4,5,6}:{(23,1),(52,1),(55,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(30,1),(53,1),(55,1)}
        39:{1,2,3,5}:{(25,1),(57,1),(58,1)}
        40:{1,3,4,5}:{(26,1),(57,1),(59,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(59,1),(60,1),(61,1)}
        42:{1,3,5,6}:{(27,1),(28,1),(60,1),(62,1)}
        43:{1,3,4,7}:{(27,1),(29,1),(61,1),(62,1)}
        44:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(55,1),(62,1),(63,1),(96,1)}
        45:{1,2,5,6,7}:{(30,1),(56,1),(63,1),(131,1),(153,1)}
        46:{1,2,4,5}:{(31,1),(64,1),(65,1)}
        47:{1,2,3,5,6}:{(31,1),(33,1),(65,1),(66,1),(67,1),(105,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(34,1),(67,1)}
        49:{1,2,3,6,7}:{(33,1),(66,1),(68,1),(78,1),(139,1)}
        50:{1,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(36,1),(68,1),(70,1),(80,1),(106,1),(111,1),(118,1),(139,1)}
        52:{2,4,5,6}:{(35,1),(37,1),(69,1),(71,1),(72,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(38,1),(70,1),(72,1)}
        54:{1,3,4,5,6}:{(37,1),(42,1),(71,1),(74,1),(75,1)}
        55:{1,4,5,7}:{(37,1),(38,1),(72,1),(76,1)}
        56:{1,3,5,6,7}:{(38,1),(45,1),(73,1),(76,1),(82,1),(151,1),(152,1)}
        57:{1,2,4,5}:{(39,1),(40,1),(77,1)}
        58:{1,2,3,6}:{(39,1),(77,1),(78,1)}
        59:{1,3,4,6}:{(40,1),(41,1),(77,1),(79,1),(80,1)}
        60:{2,3,5,6}:{(41,1),(42,1),(74,1),(79,1),(81,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(80,1),(81,1)}
        62:{1,3,5,7}:{(42,1),(43,1),(44,1),(81,1),(82,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(76,1),(82,1),(116,1)}
        64:{1,3,4,5}:{(46,1),(84,1),(85,1)}
        65:{1,2,4,6}:{(46,1),(47,1),(85,1),(87,1)}
        66:{1,2,3,5,7}:{(47,1),(49,1),(87,1),(88,1),(124,1)}
        67:{1,2,5,6}:{(48,1),(50,1),(88,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(51,1),(87,1),(88,1),(99,1),(133,1)}
        69:{1,4,5,6}:{(50,1),(52,1),(90,1)}
        70:{1,3,5,7}:{(50,1),(51,1),(53,1),(88,1),(90,1)}
        71:{3,4,5,6}:{(52,1),(92,1)}
        72:{2,4,5,7}:{(52,1),(53,1),(55,1),(90,1),(92,1),(93,1)}
        73:{2,3,5,6,7}:{(53,1),(56,1),(91,1),(93,1),(101,1),(130,1),(131,1),(147,1),(148,1)}
        74:{2,4,5,6}:{(54,1),(60,1),(95,1),(96,1)}
        75:{1,3,4,5,7}:{(54,1),(55,1),(62,1),(92,1),(96,1),(97,1)}
        76:{1,4,6,7}:{(55,1),(56,1),(93,1)}
        77:{1,2,4,6}:{(57,1),(58,1),(59,1),(98,1),(99,1)}
        78:{1,2,3,7}:{(58,1),(99,1)}
        79:{1,3,5,6}:{(59,1),(60,1),(95,1),(98,1),(100,1)}
        80:{1,3,4,7}:{(59,1),(61,1),(99,1),(100,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(96,1),(100,1),(101,1)}
        82:{1,3,6,7}:{(62,1),(63,1),(101,1)}
        83:{1,2,3,4}:{(102,1)}
        84:{2,3,4,5}:{(64,1),(103,1),(104,1)}
        85:{1,3,4,6}:{(64,1),(65,1),(104,1),(105,1),(106,1)}
        86:{1,2,4,5,6}:{(65,1),(67,1),(69,1),(105,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(65,1),(66,1),(106,1)}
        88:{1,2,5,7}:{(67,1),(68,1),(70,1)}
        89:{1,3,4,5,6}:{(69,1),(71,1),(105,1),(109,1),(110,1)}
        90:{1,4,5,7}:{(69,1),(70,1),(72,1),(111,1)}
        91:{1,3,5,6,7}:{(70,1),(73,1),(108,1),(111,1),(118,1),(139,1),(143,1)}
        92:{3,4,5,7}:{(71,1),(72,1),(113,1)}
        93:{2,4,6,7}:{(72,1),(73,1),(76,1),(111,1),(113,1)}
        94:{1,4,5,6,7}:{(76,1),(112,1),(114,1),(152,1)}
        95:{1,4,5,6}:{(74,1),(79,1),(115,1)}
        96:{2,4,5,7}:{(74,1),(75,1),(81,1),(115,1),(116,1)}
        97:{1,3,4,6,7}:{(75,1),(76,1),(82,1),(113,1),(114,1),(116,1)}
        98:{1,2,5,6}:{(77,1),(79,1),(117,1)}
        99:{1,2,4,7}:{(77,1),(78,1),(80,1),(117,1)}
       100:{1,3,5,7}:{(79,1),(80,1),(81,1),(115,1),(117,1),(118,1)}
       101:{2,3,6,7}:{(81,1),(82,1),(116,1),(118,1)}
       102:{1,2,3,5}:{(83,1),(119,1),(120,1)}
       103:{1,3,4,5}:{(84,1),(119,1),(121,1)}
       104:{2,3,4,6}:{(84,1),(85,1),(121,1),(122,1),(123,1)}
       105:{1,3,5,6}:{(85,1),(86,1),(122,1),(124,1)}
       106:{1,3,4,7}:{(85,1),(87,1),(123,1),(124,1)}
       107:{1,2,4,5,7}:{(86,1),(87,1),(88,1),(90,1),(124,1),(125,1),(128,1)}
       108:{1,2,5,6,7}:{(88,1),(91,1),(125,1),(133,1),(148,1)}
       109:{2,4,5,6}:{(89,1),(122,1),(127,1),(128,1)}
       110:{1,3,4,5,7}:{(89,1),(90,1),(92,1),(124,1),(128,1),(129,1)}
       111:{1,4,6,7}:{(90,1),(91,1),(93,1)}
       112:{2,4,5,6,7}:{(93,1),(94,1),(126,1),(130,1),(131,1),(148,1)}
       113:{3,4,6,7}:{(92,1),(93,1),(130,1)}
       114:{1,3,5,6,7}:{(94,1),(97,1),(130,1),(131,1)}
       115:{1,4,5,7}:{(95,1),(96,1),(100,1),(132,1)}
       116:{2,4,6,7}:{(96,1),(97,1),(101,1),(131,1),(132,1)}
       117:{1,2,5,7}:{(98,1),(99,1),(100,1),(133,1)}
       118:{1,3,6,7}:{(100,1),(101,1),(132,1),(133,1)}
       119:{1,2,4,5}:{(102,1),(103,1),(134,1)}
       120:{1,2,3,6}:{(102,1),(134,1),(135,1)}
       121:{1,3,4,6}:{(103,1),(104,1),(134,1),(136,1),(137,1)}
       122:{2,3,5,6}:{(104,1),(105,1),(109,1),(136,1),(138,1)}
       123:{2,3,4,7}:{(104,1),(106,1),(137,1),(138,1)}
       124:{1,3,5,7}:{(105,1),(106,1),(107,1),(138,1),(139,1)}
       125:{1,2,4,6,7}:{(107,1),(108,1),(111,1),(139,1),(142,1)}
       126:{1,4,5,6,7}:{(111,1),(112,1),(140,1),(143,1)}
       127:{1,4,5,6}:{(109,1),(136,1),(141,1)}
       128:{2,4,5,7}:{(109,1),(110,1),(138,1),(141,1),(142,1)}
       129:{1,3,4,6,7}:{(110,1),(111,1),(113,1),(139,1),(140,1),(142,1)}
       130:{3,5,6,7}:{(112,1),(113,1)}
       131:{2,5,6,7}:{(114,1),(116,1),(143,1)}
       132:{1,4,6,7}:{(115,1),(116,1),(118,1),(143,1)}
       133:{1,2,6,7}:{(117,1),(118,1)}
       134:{1,2,4,6}:{(119,1),(120,1),(121,1),(144,1),(145,1)}
       135:{1,2,3,7}:{(120,1),(145,1)}
       136:{1,3,5,6}:{(121,1),(122,1),(127,1),(144,1),(146,1)}
       137:{1,3,4,7}:{(121,1),(123,1),(145,1),(146,1)}
       138:{2,3,5,7}:{(122,1),(123,1),(124,1),(128,1),(146,1),(147,1)}
       139:{1,3,6,7}:{(124,1),(125,1),(147,1)}
       140:{1,3,5,6,7}:{(126,1),(129,1),(130,1),(148,1)}
       141:{1,4,5,7}:{(127,1),(128,1),(146,1),(149,1)}
       142:{2,4,6,7}:{(128,1),(129,1),(147,1),(148,1),(149,1)}
       143:{1,5,6,7}:{(131,1),(132,1)}
       144:{1,2,5,6}:{(134,1),(136,1),(150,1)}
       145:{1,2,4,7}:{(134,1),(135,1),(137,1),(150,1)}
       146:{1,3,5,7}:{(136,1),(137,1),(138,1),(141,1),(150,1),(151,1)}
       147:{2,3,6,7}:{(138,1),(139,1),(142,1),(151,1)}
       148:{2,5,6,7}:{(140,1),(142,1),(152,1)}
       149:{1,4,6,7}:{(141,1),(142,1),(151,1),(152,1)}
       150:{1,2,5,7}:{(144,1),(145,1),(146,1),(153,1)}
       151:{1,3,6,7}:{(146,1),(147,1),(149,1),(153,1)}
       152:{1,5,6,7}:{(148,1),(149,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2577 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2578 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(25,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(20,1),(25,1),(51,1),(57,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(22,1),(51,1),(57,1),(82,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(44,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(36,1),(67,1),(73,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(44,1),(76,1)}
         9:{1,2,4,6,7}:{(6,1),(19,1),(20,1),(21,1),(51,1)}
        10:{1,3,4,6,7}:{(8,1),(19,1),(21,1),(22,1),(48,1),(51,1),(79,1),(82,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(23,1),(24,1),(51,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(25,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(23,1),(26,1),(27,1),(56,1)}
        14:{1,3,6}:{(5,1),(6,1),(27,1)}
        15:{1,2,5,6}:{(6,1),(20,1),(25,1),(28,1),(30,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(26,1),(29,1),(52,1),(81,1),(86,1)}
        17:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(22,1),(30,1),(31,1),(62,1)}
        19:{1,3,6,7}:{(9,1),(14,1),(33,1),(34,1),(110,1)}
        20:{1,2,5,7}:{(9,1),(15,1),(34,1),(36,1),(121,1)}
        21:{2,4,6,7}:{(10,1),(17,1),(33,1),(35,1),(36,1),(67,1)}
        22:{1,3,5,7}:{(10,1),(18,1),(36,1),(37,1),(69,1)}
        23:{2,3,4,7}:{(11,1),(13,1),(38,1),(39,1),(67,1),(111,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(14,1),(39,1),(40,1),(44,1),(116,1),(122,1)}
        25:{1,2,5}:{(12,1),(40,1)}
        26:{1,3,5,7}:{(13,1),(16,1),(38,1),(41,1),(42,1),(72,1)}
        27:{2,3,6}:{(13,1),(14,1),(17,1),(42,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(34,1),(40,1),(43,1),(44,1),(100,1),(116,1)}
        29:{1,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{2,5,6}:{(17,1),(18,1),(36,1),(45,1)}
        31:{1,4,5,6}:{(18,1),(37,1),(44,1),(46,1),(100,1)}
        32:{1,3,5,6,7}:{(22,1),(47,1),(48,1),(79,1)}
        33:{2,3,6,7}:{(19,1),(21,1),(27,1),(49,1),(50,1),(79,1),(101,1)}
        34:{1,3,5,7}:{(19,1),(20,1),(28,1),(50,1),(51,1),(104,1),(117,1)}
        35:{1,4,6,7}:{(21,1),(29,1),(49,1),(52,1),(81,1)}
        36:{2,5,7}:{(21,1),(22,1),(30,1),(52,1)}
        37:{1,4,5,7}:{(22,1),(31,1),(48,1),(51,1),(53,1),(104,1)}
        38:{1,3,4,7}:{(23,1),(26,1),(54,1),(55,1),(81,1),(102,1)}
        39:{2,3,4,6}:{(23,1),(24,1),(27,1),(55,1),(56,1),(60,1),(108,1),(118,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(57,1)}
        41:{1,2,5,7}:{(26,1),(54,1),(58,1),(85,1)}
        42:{1,3,6}:{(26,1),(27,1),(29,1),(58,1)}
        43:{2,3,5,6}:{(27,1),(28,1),(30,1),(50,1),(56,1),(59,1),(60,1),(62,1),(90,1),(108,1)}
        44:{1,4,6}:{(28,1),(51,1),(57,1),(60,1)}
        45:{1,5,6}:{(29,1),(30,1),(52,1)}
        46:{2,4,5,6}:{(30,1),(31,1),(53,1),(60,1),(61,1),(62,1),(90,1)}
        47:{2,5,6,7}:{(32,1),(36,1),(63,1),(64,1)}
        48:{1,4,6,7}:{(32,1),(37,1),(64,1),(110,1)}
        49:{1,3,6,7}:{(33,1),(35,1),(42,1),(65,1),(66,1)}
        50:{2,3,5,7}:{(33,1),(34,1),(36,1),(43,1),(66,1),(67,1),(69,1),(94,1),(111,1)}
        51:{1,4,7}:{(34,1),(44,1),(67,1)}
        52:{1,5,7}:{(35,1),(36,1),(45,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(46,1),(64,1),(67,1),(68,1),(69,1),(94,1)}
        54:{1,2,4,7}:{(38,1),(41,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(38,1),(39,1),(42,1),(71,1),(72,1),(75,1),(98,1),(113,1)}
        56:{2,3,5}:{(39,1),(40,1),(72,1),(73,1)}
        57:{1,4,5}:{(40,1),(44,1),(73,1)}
        58:{1,2,6}:{(41,1),(42,1)}
        59:{1,3,5,6}:{(42,1),(43,1),(45,1),(66,1),(72,1),(74,1),(75,1),(98,1)}
        60:{2,4,6}:{(43,1),(44,1),(67,1),(73,1),(75,1),(76,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(68,1),(75,1),(77,1)}
        62:{3,5,6}:{(46,1),(69,1),(76,1)}
        63:{1,5,6,7}:{(47,1),(52,1),(78,1)}
        64:{2,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(79,1),(101,1)}
        65:{1,2,6,7}:{(49,1),(58,1),(80,1),(101,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(52,1),(59,1),(80,1),(81,1),(102,1)}
        67:{2,4,7}:{(50,1),(51,1),(60,1),(81,1),(82,1)}
        68:{1,4,5,7}:{(52,1),(53,1),(61,1),(78,1),(81,1),(83,1)}
        69:{3,5,7}:{(53,1),(62,1),(79,1),(82,1)}
        70:{1,2,3,7}:{(54,1),(84,1),(102,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(58,1),(84,1),(85,1),(105,1)}
        72:{1,3,5}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,4,5}:{(56,1),(57,1),(60,1),(86,1),(87,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(80,1),(85,1),(88,1),(90,1)}
        75:{1,4,6}:{(59,1),(60,1),(81,1),(86,1)}
        76:{3,4,6}:{(60,1),(62,1),(82,1),(87,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(83,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(63,1),(64,1),(68,1),(91,1)}
        79:{3,6,7}:{(64,1),(69,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(74,1),(92,1),(94,1)}
        81:{1,4,7}:{(66,1),(67,1),(75,1)}
        82:{3,4,7}:{(67,1),(69,1),(76,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,2,3,6}:{(70,1),(71,1),(95,1),(98,1)}
        85:{1,2,5}:{(71,1),(72,1)}
        86:{1,4,5}:{(72,1),(73,1),(75,1)}
        87:{3,4,5}:{(73,1),(76,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(92,1),(96,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(75,1),(76,1),(77,1),(93,1),(97,1),(98,1),(99,1)}
        90:{2,5,6}:{(77,1),(94,1),(99,1),(100,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(83,1),(101,1)}
        92:{1,2,4,7}:{(80,1),(81,1),(88,1),(102,1),(103,1)}
        93:{1,3,4,7}:{(81,1),(82,1),(83,1),(89,1),(102,1),(103,1)}
        94:{2,5,7}:{(83,1),(90,1),(101,1),(103,1),(104,1)}
        95:{1,2,3,5}:{(84,1),(85,1),(105,1),(106,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(88,1),(105,1),(106,1),(107,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1)}
        98:{1,3,6}:{(88,1),(102,1),(106,1),(108,1)}
        99:{2,4,6}:{(89,1),(90,1),(103,1),(107,1),(108,1),(109,1)}
       100:{1,5,6}:{(90,1),(104,1),(109,1)}
       101:{2,6,7}:{(91,1),(94,1),(110,1)}
       102:{1,3,7}:{(92,1),(98,1),(111,1)}
       103:{2,4,7}:{(93,1),(94,1),(99,1),(111,1),(112,1)}
       104:{1,5,7}:{(94,1),(100,1),(110,1),(112,1)}
       105:{1,2,4}:{(95,1),(113,1)}
       106:{1,3,5}:{(96,1),(98,1),(113,1),(114,1)}
       107:{2,4,5}:{(97,1),(99,1),(114,1),(115,1)}
       108:{2,3,6}:{(98,1),(99,1),(111,1),(114,1),(116,1)}
       109:{1,4,6}:{(99,1),(100,1),(112,1),(115,1),(116,1)}
       110:{1,6,7}:{(101,1),(104,1)}
       111:{2,3,7}:{(102,1),(103,1),(108,1),(117,1)}
       112:{1,4,7}:{(103,1),(104,1),(109,1),(117,1)}
       113:{1,3,4}:{(105,1),(106,1),(118,1)}
       114:{2,3,5}:{(106,1),(107,1),(108,1),(118,1),(119,1)}
       115:{1,4,5}:{(107,1),(109,1),(119,1)}
       116:{1,3,6}:{(108,1),(109,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2579 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(18,1),(26,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(39,1),(140,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(29,1),(39,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(26,1),(40,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(21,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1),(23,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(22,1),(23,1),(24,1),(54,1),(131,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(23,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(24,1),(26,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(25,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(15,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(33,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(28,1),(33,1),(35,1)}
        22:{2,3,4,5,7}:{(12,1),(14,1),(34,1),(35,1),(36,1),(70,1),(121,1),(138,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(29,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(16,1),(36,1),(38,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(37,1),(39,1),(149,1),(150,1)}
        26:{1,2,5,6}:{(16,1),(38,1),(39,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(55,1),(88,1)}
        28:{2,3,5,6}:{(18,1),(21,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(23,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(46,1)}
        32:{1,2,4,5}:{(20,1),(46,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(42,1),(48,1),(50,1)}
        34:{1,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(51,1),(85,1),(110,1),(129,1)}
        35:{2,3,4,7}:{(21,1),(23,1),(43,1),(50,1)}
        36:{2,3,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(25,1),(44,1),(52,1),(54,1),(79,1),(144,1),(145,1)}
        38:{1,3,5,6}:{(24,1),(26,1),(53,1),(54,1),(55,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(54,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(33,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(35,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(149,1)}
        46:{1,2,3,5}:{(31,1),(32,1),(63,1)}
        47:{1,2,3,4,7}:{(31,1),(64,1),(65,1),(119,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(59,1),(63,1),(66,1)}
        49:{1,2,4,5,7}:{(32,1),(34,1),(64,1),(66,1),(67,1),(97,1),(98,1),(119,1)}
        50:{1,3,4,7}:{(33,1),(35,1),(60,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(36,1),(67,1),(69,1)}
        52:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(61,1),(68,1),(70,1),(94,1),(136,1),(138,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(70,1),(72,1)}
        55:{1,4,5,6}:{(38,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(48,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(50,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(54,1),(78,1),(79,1),(143,1),(144,1)}
        63:{1,2,3,6}:{(46,1),(48,1),(80,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,4,6}:{(47,1),(81,1),(82,1),(109,1)}
        66:{1,2,4,7}:{(48,1),(50,1),(76,1),(80,1)}
        67:{1,2,4,6}:{(49,1),(51,1),(81,1),(84,1)}
        68:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(85,1),(106,1),(127,1),(129,1)}
        69:{1,3,5,6}:{(51,1),(53,1),(84,1),(85,1),(86,1)}
        70:{2,3,5,7}:{(52,1),(53,1),(54,1),(85,1),(87,1)}
        71:{2,4,5,6}:{(53,1),(55,1),(86,1),(87,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(87,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(66,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(70,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,7}:{(63,1),(66,1)}
        81:{1,2,3,6}:{(64,1),(67,1)}
        82:{1,2,3,5}:{(65,1),(97,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(92,1),(95,1),(98,1),(119,1)}
        84:{1,2,5,6}:{(67,1),(69,1),(98,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1)}
        86:{1,4,5,6}:{(69,1),(71,1),(100,1)}
        87:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(100,1),(102,1)}
        88:{3,4,5,6}:{(71,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(143,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(85,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(87,1),(106,1),(107,1)}
        95:{1,2,3,6,7}:{(80,1),(81,1),(83,1),(108,1),(127,1)}
        96:{1,2,3,5,6}:{(81,1),(82,1),(84,1),(108,1),(109,1),(112,1)}
        97:{1,2,4,5}:{(82,1),(109,1),(110,1)}
        98:{1,2,5,7}:{(83,1),(84,1),(85,1)}
        99:{1,2,4,5,6}:{(84,1),(86,1),(109,1),(111,1),(112,1),(114,1)}
       100:{1,4,5,7}:{(85,1),(86,1),(87,1),(106,1)}
       101:{1,3,4,5,6}:{(86,1),(88,1),(112,1),(113,1),(114,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(98,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(100,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(119,1),(122,1)}
       109:{1,2,4,6}:{(96,1),(97,1),(119,1),(120,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(117,1),(119,1),(122,1),(124,1)}
       112:{1,3,5,6}:{(99,1),(120,1),(122,1),(123,1)}
       113:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(122,1),(124,1)}
       114:{2,4,5,6}:{(101,1),(123,1),(124,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(111,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(113,1),(126,1),(127,1),(128,1)}
       119:{1,2,4,7}:{(108,1),(109,1),(129,1)}
       120:{1,3,4,6}:{(109,1),(110,1),(112,1),(129,1),(130,1)}
       121:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       122:{1,3,5,7}:{(111,1),(112,1),(127,1),(129,1),(132,1)}
       123:{2,3,5,6}:{(112,1),(114,1),(130,1),(132,1),(133,1)}
       124:{2,4,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(114,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(122,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(124,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,7}:{(119,1),(120,1),(122,1),(138,1)}
       130:{2,3,4,6}:{(120,1),(121,1),(123,1),(138,1),(139,1)}
       131:{1,3,4,5}:{(121,1),(139,1),(140,1)}
       132:{2,3,5,7}:{(122,1),(123,1),(124,1),(136,1),(138,1),(141,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(139,1),(141,1),(142,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(141,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(143,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,4,6}:{(130,1),(131,1),(133,1),(145,1),(146,1)}
       140:{1,2,4,5}:{(131,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(134,1),(144,1),(145,1),(148,1)}
       142:{1,2,5,6}:{(133,1),(146,1),(148,1)}
       143:{1,5,6,7}:{(135,1),(137,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1),(149,1)}
       145:{1,3,4,7}:{(138,1),(139,1),(141,1),(150,1)}
       146:{1,2,4,6}:{(139,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(141,1),(142,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2580 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(121,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(68,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(34,1),(35,1),(68,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(113,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(34,1),(39,1),(67,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(82,1),(118,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(51,1),(103,1),(119,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(51,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(49,1),(54,1),(82,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(51,1),(83,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(110,1)}
        15:{1,3,4,7}:{(7,1),(26,1),(28,1),(29,1),(93,1),(110,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(28,1),(30,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(29,1),(30,1),(31,1),(66,1),(92,1),(111,1)}
        18:{1,3,6}:{(8,1),(10,1),(30,1)}
        19:{1,3,5}:{(9,1),(11,1),(31,1),(34,1)}
        20:{1,2,4,6,7}:{(10,1),(32,1),(35,1),(37,1),(68,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(38,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(28,1),(36,1),(64,1),(69,1),(93,1)}
        23:{2,4,6}:{(12,1),(13,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(32,1),(37,1),(39,1),(58,1),(68,1),(88,1),(96,1)}
        25:{1,3,5,6}:{(13,1),(38,1),(39,1),(40,1),(72,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(43,1),(44,1),(101,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(22,1),(42,1),(45,1),(46,1)}
        29:{1,3,4,6}:{(15,1),(17,1),(43,1),(45,1),(46,1),(78,1),(80,1),(101,1)}
        30:{2,3,6}:{(16,1),(18,1),(23,1),(45,1)}
        31:{2,3,5}:{(17,1),(19,1),(46,1),(49,1)}
        32:{1,3,6,7}:{(18,1),(20,1),(47,1),(50,1),(117,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(21,1),(48,1),(50,1),(51,1),(108,1),(119,1)}
        34:{1,4,5}:{(19,1),(49,1),(51,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(50,1),(54,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(45,1),(53,1)}
        37:{2,4,6,7}:{(23,1),(24,1),(47,1),(52,1),(54,1),(82,1)}
        38:{2,5,6}:{(23,1),(25,1),(53,1),(54,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(54,1),(56,1),(86,1)}
        40:{1,4,5,6}:{(25,1),(51,1),(55,1),(56,1),(108,1)}
        41:{1,3,5,6,7}:{(39,1),(57,1),(58,1),(88,1)}
        42:{1,2,5,7}:{(26,1),(28,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(59,1),(60,1),(61,1)}
        44:{1,2,3,5}:{(27,1),(60,1),(61,1),(91,1)}
        45:{1,3,6}:{(28,1),(30,1),(36,1),(59,1)}
        46:{1,3,5}:{(29,1),(31,1),(60,1),(64,1)}
        47:{2,3,6,7}:{(30,1),(32,1),(37,1),(62,1),(65,1),(88,1),(109,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(38,1),(63,1),(65,1),(66,1),(72,1),(98,1),(111,1)}
        49:{2,4,5}:{(31,1),(34,1),(64,1),(66,1),(67,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(35,1),(65,1),(68,1),(116,1),(123,1)}
        51:{1,4,6}:{(33,1),(34,1),(66,1),(68,1)}
        52:{1,4,6,7}:{(36,1),(37,1),(62,1),(69,1),(93,1)}
        53:{1,5,6}:{(36,1),(38,1),(69,1)}
        54:{2,5,7}:{(37,1),(38,1),(39,1),(69,1)}
        55:{2,4,5,6}:{(38,1),(40,1),(66,1),(70,1),(71,1),(72,1),(98,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(71,1),(116,1)}
        57:{2,5,6,7}:{(41,1),(54,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(117,1)}
        59:{1,2,6}:{(42,1),(45,1)}
        60:{1,2,5}:{(43,1),(46,1)}
        61:{1,2,4}:{(44,1),(78,1)}
        62:{1,3,6,7}:{(45,1),(47,1),(52,1),(75,1),(79,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(53,1),(76,1),(79,1),(80,1),(101,1)}
        64:{1,4,5}:{(46,1),(49,1),(80,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(50,1),(54,1),(79,1),(82,1),(86,1),(107,1),(118,1)}
        66:{2,4,6}:{(48,1),(49,1),(51,1),(80,1),(82,1),(83,1)}
        67:{3,4,5}:{(49,1),(83,1)}
        68:{1,4,7}:{(50,1),(51,1),(82,1)}
        69:{1,5,7}:{(52,1),(53,1),(54,1)}
        70:{1,4,5,6}:{(53,1),(55,1),(80,1),(84,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(82,1),(84,1),(86,1),(107,1)}
        72:{3,5,6}:{(55,1),(83,1),(86,1)}
        73:{1,5,6,7}:{(57,1),(69,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(71,1),(87,1),(88,1),(109,1)}
        75:{1,2,6,7}:{(59,1),(62,1),(89,1),(109,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(89,1),(90,1),(98,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(64,1),(90,1),(91,1),(95,1)}
        78:{1,3,4}:{(61,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(89,1),(93,1),(110,1)}
        80:{1,4,6}:{(63,1),(64,1),(66,1),(93,1)}
        81:{1,3,4,5}:{(64,1),(67,1),(91,1),(94,1),(95,1)}
        82:{2,4,7}:{(65,1),(66,1),(68,1),(93,1),(96,1)}
        83:{3,4,6}:{(66,1),(67,1),(72,1),(96,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(97,1)}
        85:{1,3,5,6}:{(70,1),(72,1),(94,1),(97,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(84,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{1,2,5,7}:{(75,1),(76,1),(79,1),(100,1),(107,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(80,1),(100,1),(101,1),(105,1)}
        91:{1,3,5}:{(77,1),(78,1),(101,1),(102,1)}
        92:{2,3,4}:{(78,1),(102,1),(103,1)}
        93:{1,4,7}:{(79,1),(80,1),(82,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(85,1),(101,1),(104,1),(105,1)}
        95:{2,4,5}:{(81,1),(102,1),(105,1),(106,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(104,1),(107,1)}
        98:{2,5,6}:{(85,1),(105,1),(107,1),(108,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(97,1),(109,1)}
       100:{1,2,4,7}:{(89,1),(90,1),(93,1),(110,1),(114,1)}
       101:{1,3,6}:{(90,1),(91,1),(110,1),(111,1)}
       102:{2,3,5}:{(91,1),(92,1),(95,1),(111,1),(112,1)}
       103:{1,3,4}:{(92,1),(112,1),(113,1)}
       104:{1,3,4,7}:{(93,1),(94,1),(96,1),(97,1),(110,1),(114,1)}
       105:{2,4,6}:{(94,1),(95,1),(98,1),(111,1),(114,1),(115,1)}
       106:{1,4,5}:{(95,1),(112,1),(115,1)}
       107:{2,5,7}:{(97,1),(98,1),(109,1),(114,1),(116,1)}
       108:{1,5,6}:{(98,1),(115,1),(116,1)}
       109:{2,6,7}:{(99,1),(107,1),(117,1)}
       110:{1,3,7}:{(100,1),(101,1),(118,1)}
       111:{2,3,6}:{(101,1),(102,1),(105,1),(118,1),(119,1)}
       112:{1,3,5}:{(102,1),(103,1),(106,1),(119,1),(120,1)}
       113:{1,2,4}:{(103,1),(120,1),(121,1)}
       114:{2,4,7}:{(104,1),(105,1),(107,1),(118,1),(122,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(119,1),(122,1)}
       116:{1,5,7}:{(107,1),(108,1),(117,1),(122,1)}
       117:{1,6,7}:{(109,1),(116,1)}
       118:{2,3,7}:{(110,1),(111,1),(114,1),(123,1)}
       119:{1,3,6}:{(111,1),(112,1),(115,1),(123,1),(124,1)}
       120:{1,2,5}:{(112,1),(113,1),(124,1)}
       121:{1,2,3}:{(113,1)}
       122:{1,4,7}:{(114,1),(115,1),(116,1),(123,1)}
       123:{1,3,7}:{(118,1),(119,1),(122,1),(125,1)}
       124:{1,2,6}:{(119,1),(120,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2581 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(17,1),(95,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(6,1),(7,1),(8,1),(60,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(107,1),(122,1)}
         5:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(10,1),(20,1),(28,1),(31,1),(60,1)}
         6:{2,3,4,7}:{(3,1),(13,1),(14,1),(15,1),(75,1),(118,1)}
         7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(44,1),(96,1),(117,1)}
         8:{1,3,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1)}
         9:{1,2,5}:{(4,1),(16,1)}
        10:{1,2,4,6}:{(5,1),(17,1),(18,1),(33,1),(44,1)}
        11:{1,3,4,5,7}:{(8,1),(20,1),(21,1),(28,1),(50,1),(57,1),(60,1),(89,1)}
        12:{1,2,3,7}:{(22,1),(23,1),(110,1)}
        13:{1,3,4,7}:{(6,1),(23,1),(24,1),(25,1),(88,1),(110,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(24,1),(26,1),(27,1),(58,1),(82,1),(109,1)}
        15:{2,3,5,7}:{(6,1),(8,1),(20,1),(25,1),(26,1),(27,1)}
        16:{1,3,5}:{(7,1),(9,1),(26,1),(28,1)}
        17:{1,3,6}:{(8,1),(10,1),(27,1)}
        18:{1,2,5,6}:{(9,1),(10,1),(29,1),(31,1),(47,1),(122,1)}
        19:{1,2,4,6,7}:{(10,1),(30,1),(31,1),(48,1),(60,1)}
        20:{2,4,5,7}:{(11,1),(15,1),(32,1),(33,1),(41,1),(65,1),(75,1)}
        21:{1,3,4,6}:{(11,1),(17,1),(33,1),(34,1),(44,1),(74,1)}
        22:{1,2,3,6}:{(12,1),(36,1),(37,1),(98,1)}
        23:{1,2,4,7}:{(12,1),(13,1),(37,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(67,1),(72,1),(98,1)}
        25:{1,3,5,7}:{(13,1),(15,1),(32,1),(38,1),(39,1),(40,1)}
        26:{2,3,5}:{(14,1),(16,1),(39,1),(41,1)}
        27:{2,3,6}:{(15,1),(17,1),(33,1),(40,1)}
        28:{1,4,5}:{(16,1),(41,1),(44,1)}
        29:{1,3,5,6}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(114,1),(117,1)}
        30:{1,3,6,7}:{(17,1),(19,1),(43,1),(45,1),(124,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(45,1),(65,1),(125,1)}
        32:{1,4,5,7}:{(20,1),(25,1),(46,1),(54,1),(79,1),(88,1)}
        33:{2,4,6}:{(20,1),(21,1),(27,1),(46,1),(47,1)}
        34:{1,3,5,6}:{(21,1),(47,1),(49,1),(50,1),(80,1)}
        35:{1,3,4,6,7}:{(21,1),(30,1),(48,1),(50,1),(60,1),(77,1),(89,1),(104,1)}
        36:{1,2,3,5}:{(22,1),(51,1),(52,1),(83,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(24,1),(51,1),(52,1),(53,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(52,1),(53,1)}
        39:{1,3,5}:{(24,1),(26,1),(52,1),(54,1)}
        40:{1,3,6}:{(25,1),(27,1),(46,1),(53,1)}
        41:{2,4,5}:{(26,1),(28,1),(54,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(26,1),(27,1),(29,1),(47,1),(55,1),(58,1),(59,1),(80,1),(105,1),(109,1)}
        43:{2,3,6,7}:{(27,1),(30,1),(48,1),(56,1),(59,1),(104,1),(120,1)}
        44:{1,4,6}:{(28,1),(29,1),(58,1),(60,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1),(121,1),(123,1)}
        46:{1,4,6}:{(32,1),(33,1),(40,1),(62,1)}
        47:{2,5,6}:{(33,1),(34,1),(62,1),(65,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(43,1),(63,1),(65,1),(75,1)}
        49:{1,4,5,6}:{(34,1),(44,1),(64,1),(66,1),(114,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(65,1),(66,1),(94,1)}
        51:{1,2,4}:{(36,1),(67,1)}
        52:{1,2,5}:{(37,1),(39,1)}
        53:{1,2,6}:{(38,1),(40,1)}
        54:{1,4,5}:{(39,1),(41,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(69,1),(72,1),(73,1),(98,1)}
        56:{1,3,6,7}:{(40,1),(43,1),(63,1),(70,1),(73,1)}
        57:{3,4,5}:{(41,1),(74,1)}
        58:{2,4,6}:{(41,1),(42,1),(44,1),(72,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(45,1),(65,1),(73,1),(75,1),(94,1),(115,1),(118,1)}
        60:{1,4,7}:{(44,1),(45,1),(75,1)}
        61:{1,3,5,6,7}:{(50,1),(76,1),(77,1),(104,1)}
        62:{1,5,6}:{(46,1),(47,1),(79,1)}
        63:{1,4,6,7}:{(46,1),(48,1),(56,1),(79,1),(88,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(58,1),(78,1),(80,1),(81,1),(105,1)}
        65:{2,5,7}:{(47,1),(48,1),(50,1),(79,1)}
        66:{1,4,5,7}:{(49,1),(50,1),(60,1),(77,1),(81,1),(121,1)}
        67:{1,3,4}:{(51,1),(82,1),(83,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(54,1),(83,1),(84,1),(86,1)}
        69:{1,2,5,6}:{(52,1),(53,1),(55,1),(84,1),(85,1),(105,1)}
        70:{1,2,6,7}:{(53,1),(56,1),(85,1),(120,1)}
        71:{1,3,4,5}:{(54,1),(57,1),(83,1),(86,1),(87,1)}
        72:{1,4,6}:{(54,1),(55,1),(58,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(59,1),(79,1),(85,1),(88,1),(110,1)}
        74:{3,4,6}:{(57,1),(58,1),(80,1),(89,1)}
        75:{2,4,7}:{(58,1),(59,1),(60,1),(88,1),(89,1)}
        76:{2,5,6,7}:{(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,6,7}:{(61,1),(66,1),(91,1),(124,1)}
        78:{1,4,5,6}:{(62,1),(64,1),(72,1),(92,1),(93,1)}
        79:{1,5,7}:{(62,1),(63,1),(65,1)}
        80:{3,5,6}:{(64,1),(74,1),(94,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(66,1),(75,1),(91,1),(93,1),(94,1),(115,1)}
        82:{2,3,4}:{(67,1),(96,1),(97,1)}
        83:{1,3,5}:{(67,1),(68,1),(97,1),(98,1)}
        84:{1,2,4,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(101,1)}
        85:{1,2,5,7}:{(69,1),(70,1),(73,1),(99,1),(115,1)}
        86:{2,4,5}:{(71,1),(97,1),(100,1),(101,1)}
        87:{1,3,4,6}:{(71,1),(72,1),(74,1),(92,1),(98,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(75,1)}
        89:{3,4,7}:{(74,1),(75,1),(94,1)}
        90:{1,5,6,7}:{(76,1),(79,1),(103,1)}
        91:{2,4,6,7}:{(76,1),(77,1),(81,1),(103,1),(104,1),(120,1)}
        92:{1,3,5,6}:{(78,1),(80,1),(87,1),(105,1),(106,1)}
        93:{1,4,5,7}:{(78,1),(79,1),(81,1),(88,1),(103,1),(106,1)}
        94:{3,5,7}:{(80,1),(81,1),(89,1),(104,1)}
        95:{1,2,3}:{(107,1)}
        96:{1,3,4}:{(82,1),(107,1),(108,1)}
        97:{2,3,5}:{(82,1),(83,1),(86,1),(108,1),(109,1)}
        98:{1,3,6}:{(83,1),(84,1),(109,1),(110,1)}
        99:{1,2,4,7}:{(84,1),(85,1),(88,1),(110,1),(112,1)}
       100:{1,4,5}:{(86,1),(108,1),(111,1)}
       101:{2,4,6}:{(86,1),(87,1),(105,1),(109,1),(111,1),(112,1)}
       102:{1,3,4,7}:{(87,1),(88,1),(89,1),(106,1),(110,1),(112,1)}
       103:{1,4,6,7}:{(90,1),(91,1),(93,1),(113,1)}
       104:{3,6,7}:{(91,1),(94,1)}
       105:{2,5,6}:{(92,1),(101,1),(114,1),(115,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(94,1),(102,1),(113,1),(115,1)}
       107:{1,2,4}:{(95,1),(96,1),(116,1)}
       108:{1,3,5}:{(96,1),(97,1),(100,1),(116,1),(117,1)}
       109:{2,3,6}:{(97,1),(98,1),(101,1),(117,1),(118,1)}
       110:{1,3,7}:{(98,1),(99,1),(118,1)}
       111:{1,4,6}:{(100,1),(101,1),(114,1),(117,1),(119,1)}
       112:{2,4,7}:{(101,1),(102,1),(115,1),(118,1),(119,1)}
       113:{1,3,6,7}:{(103,1),(104,1),(106,1),(120,1)}
       114:{1,5,6}:{(105,1),(111,1),(121,1)}
       115:{2,5,7}:{(105,1),(106,1),(112,1),(120,1),(121,1)}
       116:{1,2,5}:{(107,1),(108,1),(122,1)}
       117:{1,3,6}:{(108,1),(109,1),(111,1),(122,1),(123,1)}
       118:{2,3,7}:{(109,1),(110,1),(112,1),(123,1)}
       119:{1,4,7}:{(111,1),(112,1),(121,1),(123,1)}
       120:{2,6,7}:{(113,1),(115,1),(124,1)}
       121:{1,5,7}:{(114,1),(115,1),(119,1),(124,1)}
       122:{1,2,6}:{(116,1),(117,1),(125,1)}
       123:{1,3,7}:{(117,1),(118,1),(119,1),(125,1)}
       124:{1,6,7}:{(120,1),(121,1)}
       125:{1,2,7}:{(122,1),(123,1)}

2582 :   0:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(6,1),(122,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(21,1),(107,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(89,1)}
         4:{1,3,4,7}:{(1,1),(9,1),(10,1),(11,1),(68,1),(115,1)}
         5:{1,2,4,5,7}:{(1,1),(10,1),(12,1),(13,1),(30,1),(36,1),(37,1),(68,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(92,1),(116,1)}
         7:{1,2,4,7}:{(3,1),(14,1),(15,1),(16,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(75,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(80,1),(104,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1)}
        11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(52,1),(77,1),(105,1)}
        12:{1,2,4,6}:{(5,1),(21,1),(24,1),(45,1),(52,1)}
        13:{1,2,5}:{(6,1),(22,1)}
        14:{1,3,4,7}:{(7,1),(9,1),(25,1),(26,1),(86,1),(89,1)}
        15:{1,2,5,7}:{(7,1),(25,1),(27,1),(28,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1),(29,1)}
        17:{1,2,3,5}:{(8,1),(28,1),(29,1),(59,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(25,1),(30,1),(31,1),(32,1)}
        19:{2,3,4,6}:{(9,1),(11,1),(26,1),(31,1),(32,1),(60,1),(64,1),(90,1)}
        20:{1,3,4,5,7}:{(10,1),(30,1),(33,1),(36,1),(65,1),(66,1),(68,1),(96,1)}
        21:{1,3,6}:{(10,1),(12,1),(31,1)}
        22:{1,3,5}:{(11,1),(13,1),(32,1),(36,1)}
        23:{1,2,4,6,7}:{(12,1),(34,1),(37,1),(61,1),(68,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(62,1),(116,1)}
        25:{1,3,5,7}:{(14,1),(15,1),(18,1),(38,1),(39,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(19,1),(39,1),(40,1),(44,1),(72,1),(75,1)}
        27:{1,2,6}:{(15,1),(39,1)}
        28:{1,2,5}:{(16,1),(40,1)}
        29:{1,2,4}:{(17,1),(44,1)}
        30:{2,4,5,7}:{(18,1),(20,1),(38,1),(45,1),(48,1),(78,1),(80,1)}
        31:{2,3,6}:{(18,1),(21,1),(39,1),(45,1)}
        32:{2,3,5}:{(19,1),(22,1),(40,1),(48,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(50,1),(52,1),(81,1)}
        34:{1,3,6,7}:{(21,1),(23,1),(46,1),(51,1),(125,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(24,1),(47,1),(51,1),(52,1),(105,1),(120,1)}
        36:{1,4,5}:{(22,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(51,1),(78,1),(122,1)}
        38:{1,4,5,7}:{(25,1),(30,1),(53,1),(56,1),(84,1),(86,1)}
        39:{1,3,6}:{(25,1),(27,1),(31,1),(53,1)}
        40:{1,3,5}:{(26,1),(28,1),(32,1),(56,1)}
        41:{1,2,6,7}:{(27,1),(54,1),(57,1),(123,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(55,1),(57,1),(58,1),(112,1)}
        43:{1,2,4,5}:{(28,1),(29,1),(56,1),(58,1),(59,1),(88,1)}
        44:{1,3,4}:{(29,1),(59,1),(60,1)}
        45:{2,4,6}:{(30,1),(31,1),(33,1),(53,1),(62,1)}
        46:{2,3,6,7}:{(31,1),(34,1),(54,1),(61,1),(63,1),(117,1),(123,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(62,1),(63,1),(64,1),(90,1),(95,1),(112,1)}
        48:{2,4,5}:{(32,1),(36,1),(56,1),(64,1),(65,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(61,1),(66,1),(68,1),(96,1),(97,1),(117,1)}
        50:{1,3,5,6}:{(33,1),(62,1),(66,1),(67,1),(95,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(63,1),(68,1),(115,1),(124,1)}
        52:{1,4,6}:{(35,1),(36,1),(64,1),(68,1)}
        53:{1,4,6}:{(38,1),(39,1),(45,1),(70,1)}
        54:{1,3,6,7}:{(39,1),(41,1),(46,1),(69,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(42,1),(47,1),(70,1),(71,1),(72,1),(75,1)}
        56:{1,4,5}:{(40,1),(48,1),(72,1)}
        57:{1,2,5,7}:{(41,1),(42,1),(71,1),(74,1),(119,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(72,1),(74,1),(75,1),(102,1)}
        59:{1,3,5}:{(43,1),(44,1),(75,1),(76,1)}
        60:{2,3,4}:{(44,1),(76,1),(77,1)}
        61:{2,4,6,7}:{(45,1),(46,1),(49,1),(69,1),(78,1),(80,1)}
        62:{2,5,6}:{(45,1),(50,1),(70,1),(78,1)}
        63:{2,3,5,7}:{(46,1),(47,1),(51,1),(71,1),(78,1),(80,1),(104,1),(109,1),(119,1)}
        64:{2,4,6}:{(47,1),(48,1),(52,1),(72,1),(80,1),(81,1)}
        65:{3,4,5}:{(48,1),(81,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(78,1),(83,1),(109,1)}
        67:{1,4,5,6}:{(50,1),(52,1),(79,1),(83,1),(120,1)}
        68:{1,4,7}:{(51,1),(52,1),(80,1)}
        69:{1,4,6,7}:{(53,1),(54,1),(61,1),(84,1),(86,1)}
        70:{1,5,6}:{(53,1),(62,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(63,1),(84,1),(86,1),(89,1)}
        72:{1,4,6}:{(55,1),(56,1),(64,1),(86,1)}
        73:{1,3,4,5}:{(56,1),(59,1),(65,1),(87,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1),(89,1),(113,1)}
        75:{1,3,6}:{(58,1),(59,1),(89,1),(90,1)}
        76:{2,3,5}:{(59,1),(60,1),(88,1),(90,1),(91,1)}
        77:{1,3,4}:{(60,1),(91,1),(92,1)}
        78:{2,5,7}:{(61,1),(62,1),(66,1),(84,1)}
        79:{2,4,5,6}:{(62,1),(64,1),(67,1),(85,1),(94,1),(95,1),(112,1)}
        80:{2,4,7}:{(63,1),(64,1),(68,1),(86,1),(96,1)}
        81:{3,4,6}:{(64,1),(65,1),(95,1),(96,1)}
        82:{1,3,5,6,7}:{(66,1),(93,1),(97,1),(117,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(94,1),(97,1),(124,1)}
        84:{1,5,7}:{(69,1),(70,1),(78,1)}
        85:{1,4,5,6}:{(70,1),(72,1),(79,1),(99,1),(100,1)}
        86:{1,4,7}:{(71,1),(72,1),(80,1)}
        87:{1,3,4,6}:{(72,1),(73,1),(75,1),(81,1),(100,1),(101,1),(102,1)}
        88:{2,4,5}:{(73,1),(76,1),(102,1),(103,1)}
        89:{1,3,7}:{(74,1),(75,1),(104,1)}
        90:{2,3,6}:{(75,1),(76,1),(102,1),(104,1),(105,1)}
        91:{1,3,5}:{(76,1),(77,1),(103,1),(105,1),(106,1)}
        92:{1,2,4}:{(77,1),(106,1),(107,1)}
        93:{2,5,6,7}:{(78,1),(82,1),(98,1),(108,1)}
        94:{2,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(99,1),(108,1),(109,1),(119,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{3,4,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(108,1),(125,1)}
        98:{1,5,6,7}:{(84,1),(93,1),(110,1)}
        99:{1,4,5,7}:{(84,1),(85,1),(86,1),(94,1),(110,1),(111,1)}
       100:{1,3,5,6}:{(85,1),(87,1),(95,1),(111,1),(112,1)}
       101:{1,3,4,7}:{(86,1),(87,1),(89,1),(96,1),(111,1),(113,1)}
       102:{2,4,6}:{(87,1),(88,1),(90,1),(112,1),(113,1),(114,1)}
       103:{1,4,5}:{(88,1),(91,1),(114,1)}
       104:{2,3,7}:{(89,1),(90,1),(113,1),(115,1)}
       105:{1,3,6}:{(90,1),(91,1),(114,1),(115,1),(116,1)}
       106:{1,2,5}:{(91,1),(92,1),(116,1)}
       107:{1,2,3}:{(92,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(97,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(94,1),(95,1),(96,1),(117,1)}
       110:{1,4,6,7}:{(98,1),(99,1),(108,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(101,1),(109,1),(118,1),(119,1)}
       112:{2,5,6}:{(100,1),(102,1),(119,1),(120,1)}
       113:{2,4,7}:{(101,1),(102,1),(104,1),(119,1),(121,1)}
       114:{1,4,6}:{(102,1),(103,1),(105,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1),(122,1)}
       116:{1,2,6}:{(105,1),(106,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(111,1),(117,1),(123,1)}
       119:{2,5,7}:{(111,1),(112,1),(113,1),(123,1),(124,1)}
       120:{1,5,6}:{(112,1),(114,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(115,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(119,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2583 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2584 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2585 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2586 :   0:{1,2,3,6,7}:{(5,1),(6,1),(91,1),(98,1),(121,1),(230,1),(232,1),(327,1)}
         1:{1,4,5,6,7}:{(4,1),(7,1),(97,1),(107,1),(235,1)}
         2:{1,2,3,5,6}:{(5,1),(8,1),(34,1),(42,1),(48,1),(98,1),(121,1),(126,1),(128,1),(205,1),(224,1),(318,1)}
         3:{1,3,4,5,6}:{(9,1),(10,1),(29,1),(46,1),(100,1),(130,1),(210,1),(233,1)}
         4:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(19,1),(57,1),(63,1),(160,1),(279,1)}
         5:{1,2,3,5,7}:{(0,1),(2,1),(15,1),(18,1),(74,1),(180,1),(182,1),(283,1),(365,1)}
         6:{1,2,4,6,7}:{(0,1),(15,1),(17,1),(18,1),(75,1),(139,1),(148,1),(255,1),(289,1)}
         7:{1,3,5,6,7}:{(1,1),(13,1),(16,1),(19,1),(290,1)}
         8:{1,2,4,6}:{(2,1),(15,1),(22,1),(23,1),(66,1),(181,1),(364,1)}
         9:{2,4,5,6}:{(3,1),(21,1),(24,1),(25,1),(83,1),(181,1),(288,1)}
        10:{1,3,4,5,7}:{(3,1),(16,1),(25,1),(59,1),(84,1),(153,1),(184,1),(270,1),(290,1)}
        11:{1,2,3,6,7}:{(26,1),(27,1),(37,1),(98,1),(200,1),(310,1),(312,1),(327,1)}
        12:{1,4,5,6,7}:{(4,1),(28,1),(43,1),(107,1),(315,1)}
        13:{3,5,6,7}:{(4,1),(31,1),(219,1),(330,1)}
        14:{2,3,4,5}:{(35,1),(36,1),(127,1),(209,1),(222,1)}
        15:{1,2,4,7}:{(5,1),(8,1),(38,1),(239,1),(401,1)}
        16:{1,3,4,6,7}:{(7,1),(10,1),(31,1),(40,1),(107,1),(119,1),(219,1)}
        17:{1,3,4,6,7}:{(6,1),(32,1),(38,1),(41,1),(121,1),(123,1),(195,1),(204,1),(309,1),(327,1),(394,1),(401,1)}
        18:{1,2,5,7}:{(6,1),(41,1),(42,1),(205,1),(339,1)}
        19:{2,5,6,7}:{(7,1),(40,1),(43,1),(339,1)}
        20:{1,2,3,6}:{(34,1),(37,1),(44,1),(224,1)}
        21:{2,3,5,6}:{(9,1),(36,1),(46,1),(47,1),(210,1)}
        22:{1,3,4,6}:{(8,1),(38,1),(45,1),(48,1),(111,1),(121,1),(224,1)}
        23:{1,2,4,5}:{(8,1),(48,1),(127,1),(205,1),(317,1)}
        24:{1,4,5,6}:{(9,1),(46,1),(50,1),(236,1),(337,1)}
        25:{2,4,5,7}:{(9,1),(10,1),(40,1),(47,1),(50,1),(129,1),(239,1),(339,1)}
        26:{1,2,3,5,7}:{(11,1),(51,1),(53,1),(56,1),(142,1),(351,1),(353,1),(365,1),(414,1)}
        27:{1,2,4,6,7}:{(11,1),(53,1),(55,1),(56,1),(71,1),(143,1),(148,1),(170,1),(359,1)}
        28:{1,3,5,6,7}:{(12,1),(13,1),(54,1),(57,1),(360,1)}
        29:{3,4,5,6}:{(58,1),(59,1),(277,1),(423,1)}
        30:{2,3,4,5,7}:{(14,1),(61,1),(62,1),(70,1),(132,1),(151,1),(159,1),(171,1),(245,1),(256,1),(271,1),(362,1),(425,1)}
        31:{3,4,6,7}:{(13,1),(59,1),(63,1)}
        32:{2,3,4,6,7}:{(17,1),(55,1),(64,1),(72,1),(140,1),(149,1),(161,1),(172,1),(257,1),(263,1),(276,1),(278,1),(289,1),(359,1),(367,1),(370,1),(425,1)}
        33:{2,3,5,6,7}:{(13,1),(19,1),(57,1),(63,1),(65,1),(73,1),(141,1),(151,1)}
        34:{1,2,3,5}:{(20,1),(66,1),(81,1),(164,1)}
        35:{1,3,4,5}:{(14,1),(68,1),(69,1),(164,1),(178,1)}
        36:{2,3,4,6}:{(14,1),(21,1),(69,1),(70,1),(181,1),(269,1),(281,1)}
        37:{1,2,3,7}:{(20,1),(71,1),(283,1)}
        38:{1,3,4,7}:{(15,1),(22,1),(72,1),(74,1),(283,1)}
        39:{1,2,4,5,7}:{(15,1),(18,1),(23,1),(74,1),(75,1),(77,1),(171,1)}
        40:{2,4,6,7}:{(16,1),(19,1),(25,1),(73,1),(76,1),(173,1)}
        41:{1,3,5,7}:{(17,1),(18,1),(64,1),(77,1),(78,1),(264,1),(421,1)}
        42:{1,2,5,6}:{(18,1),(75,1),(78,1),(255,1),(288,1)}
        43:{1,5,6,7}:{(19,1),(76,1),(379,1)}
        44:{1,2,4,6}:{(20,1),(66,1),(71,1),(80,1),(81,1),(170,1)}
        45:{2,3,4,6}:{(22,1),(67,1),(72,1),(80,1),(82,1),(163,1),(167,1),(172,1),(181,1),(281,1)}
        46:{1,3,5,6}:{(21,1),(24,1),(69,1),(83,1),(84,1)}
        47:{2,3,5,7}:{(21,1),(25,1),(70,1),(73,1),(84,1),(270,1)}
        48:{1,3,5}:{(22,1),(23,1),(82,1)}
        49:{1,2,4,5,6}:{(23,1),(24,1),(75,1),(83,1),(86,1),(87,1),(152,1),(165,1),(176,1),(181,1),(265,1),(288,1),(292,1),(364,1),(375,1),(424,1)}
        50:{1,4,5,7}:{(24,1),(25,1),(76,1),(84,1),(293,1),(379,1)}
        51:{1,2,3,5,6}:{(26,1),(88,1),(96,1),(98,1),(185,1),(192,1),(200,1),(205,1),(302,1),(304,1),(318,1),(384,1)}
        52:{1,3,4,5,6}:{(29,1),(89,1),(90,1),(100,1),(190,1),(210,1),(306,1),(313,1)}
        53:{1,2,4,7}:{(26,1),(88,1),(92,1),(391,1),(401,1)}
        54:{1,3,4,6,7}:{(28,1),(31,1),(90,1),(94,1),(107,1),(198,1),(219,1)}
        55:{1,3,4,6,7}:{(27,1),(32,1),(92,1),(95,1),(116,1),(200,1),(202,1),(204,1),(229,1),(327,1),(338,1),(401,1)}
        56:{1,2,5,7}:{(27,1),(95,1),(96,1),(205,1),(395,1)}
        57:{2,5,6,7}:{(28,1),(94,1),(97,1),(395,1)}
        58:{2,4,5,6}:{(29,1),(99,1),(100,1),(101,1),(398,1)}
        59:{3,4,5,7}:{(29,1),(31,1),(101,1),(330,1),(440,1)}
        60:{1,2,3,5,7}:{(34,1),(37,1),(91,1),(98,1),(102,1),(117,1),(185,1),(196,1),(205,1),(213,1)}
        61:{1,3,4,5,7}:{(30,1),(35,1),(104,1),(105,1),(115,1),(186,1),(208,1),(209,1),(213,1),(228,1),(300,1),(308,1),(317,1),(323,1),(401,1)}
        62:{2,3,4,6}:{(30,1),(99,1),(105,1),(218,1),(231,1),(311,1),(325,1),(398,1)}
        63:{2,4,6,7}:{(31,1),(33,1),(101,1),(107,1)}
        64:{2,3,5,7}:{(32,1),(41,1),(95,1),(108,1),(109,1),(206,1),(316,1),(330,1),(339,1),(395,1)}
        65:{1,3,5,6,7}:{(33,1),(43,1),(97,1),(107,1),(110,1),(119,1),(198,1),(208,1),(219,1)}
        66:{1,2,4}:{(34,1),(111,1)}
        67:{2,3,4}:{(111,1),(113,1)}
        68:{2,4,5}:{(35,1),(113,1),(114,1)}
        69:{1,3,4,6}:{(35,1),(36,1),(46,1),(114,1),(115,1),(224,1),(236,1)}
        70:{2,3,4,7}:{(36,1),(47,1),(115,1),(239,1),(323,1),(333,1)}
        71:{1,2,4,7}:{(37,1),(44,1),(116,1),(117,1)}
        72:{2,3,4,7}:{(38,1),(45,1),(116,1),(118,1),(227,1),(239,1),(333,1)}
        73:{2,3,6,7}:{(40,1),(47,1),(119,1),(219,1)}
        74:{1,3,5,7}:{(38,1),(39,1),(48,1),(118,1),(121,1)}
        75:{1,2,4,6}:{(39,1),(42,1),(121,1),(123,1),(231,1)}
        76:{1,4,6,7}:{(40,1),(43,1),(50,1),(119,1)}
        77:{1,4,5,7}:{(41,1),(108,1),(123,1),(317,1),(401,1)}
        78:{1,3,5,6}:{(41,1),(42,1),(109,1),(121,1),(123,1),(309,1),(393,1)}
        79:{1,2,5,6,7}:{(42,1),(43,1),(110,1),(122,1),(124,1),(310,1),(319,1),(339,1),(410,1),(443,1)}
        80:{1,3,4,6}:{(44,1),(45,1),(111,1),(116,1),(125,1),(224,1),(229,1),(236,1)}
        81:{1,2,5}:{(44,1),(125,1)}
        82:{2,3,5}:{(45,1),(48,1),(125,1),(127,1)}
        83:{2,5,6}:{(46,1),(114,1),(129,1)}
        84:{1,3,5,7}:{(46,1),(47,1),(50,1),(115,1),(119,1),(129,1)}
        85:{1,3,4,5}:{(48,1),(127,1),(130,1),(209,1),(317,1),(397,1)}
        86:{1,3,5,6}:{(48,1),(49,1),(121,1),(128,1),(130,1),(131,1),(210,1),(224,1),(439,1)}
        87:{1,2,4,5,7}:{(49,1),(50,1),(122,1),(129,1),(131,1),(211,1),(225,1),(235,1),(239,1),(319,1),(339,1),(341,1),(401,1),(408,1),(441,1)}
        88:{1,2,4,6}:{(51,1),(53,1),(135,1),(136,1),(241,1),(352,1),(364,1)}
        89:{2,4,5,6}:{(52,1),(134,1),(137,1),(138,1),(249,1),(352,1),(358,1)}
        90:{1,3,4,5,7}:{(52,1),(54,1),(59,1),(138,1),(153,1),(250,1),(270,1),(355,1),(360,1)}
        91:{1,2,3,7}:{(133,1),(139,1),(414,1)}
        92:{1,3,4,7}:{(53,1),(135,1),(140,1),(142,1),(414,1)}
        93:{1,2,4,5,7}:{(53,1),(56,1),(136,1),(142,1),(143,1),(145,1),(256,1)}
        94:{2,4,6,7}:{(54,1),(57,1),(138,1),(141,1),(144,1),(258,1)}
        95:{1,3,5,7}:{(55,1),(56,1),(64,1),(145,1),(146,1),(264,1),(379,1)}
        96:{1,2,5,6}:{(56,1),(143,1),(146,1),(170,1),(358,1)}
        97:{1,5,6,7}:{(57,1),(144,1),(421,1)}
        98:{1,2,3,6}:{(60,1),(148,1),(170,1),(255,1),(273,1)}
        99:{2,3,5,6}:{(58,1),(62,1),(150,1),(151,1),(277,1),(288,1),(358,1)}
       100:{1,4,5,6}:{(58,1),(150,1),(152,1),(153,1),(364,1)}
       101:{2,4,5,7}:{(58,1),(59,1),(63,1),(151,1),(153,1),(425,1)}
       102:{1,2,4,7}:{(60,1),(66,1),(148,1),(154,1),(241,1)}
       103:{2,3,4,7}:{(67,1),(149,1),(154,1),(156,1),(242,1),(367,1)}
       104:{2,4,5,7}:{(61,1),(68,1),(156,1),(157,1),(168,1),(243,1),(266,1),(268,1),(348,1),(367,1)}
       105:{1,3,4,6}:{(61,1),(62,1),(150,1),(157,1),(269,1),(273,1),(286,1),(356,1),(364,1)}
       106:{2,3,4,6,7}:{(62,1),(63,1),(70,1),(73,1),(141,1),(151,1),(158,1),(245,1),(278,1),(289,1),(359,1),(370,1),(425,1)}
       107:{1,4,6,7}:{(63,1),(65,1),(153,1),(160,1)}
       108:{2,4,5,7}:{(64,1),(77,1),(145,1),(159,1),(161,1),(266,1),(362,1),(367,1),(425,1)}
       109:{2,3,5,6}:{(64,1),(78,1),(146,1),(161,1),(172,1),(257,1),(277,1),(288,1),(358,1)}
       110:{2,5,6,7}:{(65,1),(160,1),(173,1),(258,1),(268,1)}
       111:{1,3,4}:{(66,1),(67,1),(163,1),(164,1)}
       112:{1,2,4,5}:{(66,1),(68,1),(81,1),(164,1),(165,1),(178,1),(280,1)}
       113:{2,3,5}:{(67,1),(68,1),(164,1),(167,1)}
       114:{2,4,6}:{(68,1),(69,1),(83,1),(167,1),(168,1)}
       115:{1,3,4,7}:{(69,1),(70,1),(84,1),(168,1),(283,1),(293,1)}
       116:{1,3,4,7}:{(71,1),(72,1),(80,1),(169,1),(283,1),(293,1)}
       117:{1,2,5,7}:{(71,1),(81,1),(169,1),(170,1)}
       118:{2,3,5,7}:{(72,1),(74,1),(82,1),(169,1),(171,1),(172,1)}
       119:{1,3,6,7}:{(73,1),(76,1),(84,1),(173,1)}
       120:{1,3,4,5,7}:{(74,1),(77,1),(85,1),(159,1),(171,1),(174,1),(184,1),(290,1)}
       121:{1,3,6}:{(74,1),(75,1),(172,1)}
       122:{1,2,4,6,7}:{(75,1),(76,1),(79,1),(87,1),(160,1),(173,1),(175,1),(177,1),(289,1),(381,1),(430,1),(450,1)}
       123:{1,4,6}:{(77,1),(78,1),(161,1)}
       124:{1,3,5,6,7}:{(78,1),(79,1),(162,1),(175,1),(177,1),(290,1),(357,1),(365,1),(421,1)}
       125:{1,3,5}:{(80,1),(81,1),(82,1),(178,1)}
       126:{1,2,5,6}:{(81,1),(83,1),(165,1),(170,1),(179,1),(180,1),(375,1)}
       127:{2,4,5}:{(82,1),(85,1),(178,1),(181,1)}
       128:{2,3,5,6}:{(82,1),(83,1),(86,1),(167,1),(172,1),(179,1),(181,1),(182,1),(281,1),(288,1),(375,1)}
       129:{2,5,7}:{(83,1),(84,1),(168,1),(173,1)}
       130:{1,3,4,6}:{(85,1),(86,1),(181,1),(184,1),(269,1),(364,1),(423,1)}
       131:{1,3,5,7}:{(86,1),(87,1),(175,1),(182,1),(184,1),(270,1),(283,1),(449,1)}
       132:{2,3,4,5}:{(186,1),(187,1),(209,1),(303,1),(382,1)}
       133:{1,2,3,6}:{(91,1),(185,1),(188,1),(384,1)}
       134:{2,3,5,6}:{(89,1),(187,1),(190,1),(191,1),(210,1)}
       135:{1,3,4,6}:{(88,1),(92,1),(189,1),(192,1),(200,1),(296,1),(384,1)}
       136:{1,2,4,5}:{(88,1),(192,1),(205,1),(303,1),(317,1)}
       137:{1,4,5,6}:{(89,1),(190,1),(194,1),(388,1),(393,1)}
       138:{2,4,5,7}:{(89,1),(90,1),(94,1),(191,1),(194,1),(305,1),(391,1),(395,1)}
       139:{1,2,4,7}:{(91,1),(188,1),(195,1),(196,1)}
       140:{2,3,4,7}:{(92,1),(189,1),(195,1),(197,1),(387,1),(391,1),(432,1)}
       141:{2,3,6,7}:{(94,1),(191,1),(198,1),(219,1)}
       142:{1,3,5,7}:{(92,1),(93,1),(192,1),(197,1),(200,1)}
       143:{1,2,4,6}:{(93,1),(96,1),(200,1),(202,1),(311,1)}
       144:{1,4,6,7}:{(94,1),(97,1),(194,1),(198,1)}
       145:{1,4,5,7}:{(95,1),(108,1),(202,1),(317,1),(401,1)}
       146:{1,3,5,6}:{(95,1),(96,1),(109,1),(200,1),(202,1),(229,1),(337,1)}
       147:{1,2,5,6,7}:{(96,1),(97,1),(110,1),(201,1),(203,1),(230,1),(319,1),(395,1),(438,1),(443,1)}
       148:{1,2,4,6}:{(98,1),(102,1),(204,1),(205,1)}
       149:{2,3,4,6}:{(103,1),(204,1),(206,1),(216,1),(320,1)}
       150:{1,3,5,6}:{(99,1),(100,1),(105,1),(207,1),(208,1),(210,1),(337,1),(393,1)}
       151:{2,3,5,7}:{(99,1),(101,1),(106,1),(208,1),(330,1),(339,1),(395,1)}
       152:{2,4,5,6}:{(100,1),(207,1),(210,1),(211,1),(320,1)}
       153:{1,4,5,7}:{(100,1),(101,1),(107,1),(208,1),(211,1),(401,1)}
       154:{1,3,4,7}:{(102,1),(103,1),(111,1),(204,1),(212,1),(213,1),(296,1),(401,1)}
       155:{1,2,4,5,7}:{(102,1),(104,1),(112,1),(117,1),(196,1),(205,1),(213,1),(214,1),(225,1),(228,1),(297,1),(308,1),(317,1),(319,1),(324,1),(385,1),(401,1)}
       156:{2,3,5,7}:{(103,1),(104,1),(113,1),(206,1),(213,1),(216,1),(227,1),(298,1),(387,1)}
       157:{2,4,6}:{(104,1),(105,1),(207,1),(216,1)}
       158:{1,3,4,6,7}:{(105,1),(106,1),(107,1),(115,1),(119,1),(198,1),(208,1),(217,1),(219,1),(300,1),(323,1),(327,1),(338,1),(394,1),(401,1)}
       159:{3,4,5,7}:{(108,1),(209,1),(218,1),(323,1),(330,1),(397,1),(440,1)}
       160:{2,4,6,7}:{(107,1),(110,1),(211,1),(219,1)}
       161:{2,4,6}:{(108,1),(109,1),(123,1),(202,1),(218,1)}
       162:{2,3,5,6,7}:{(109,1),(110,1),(124,1),(203,1),(219,1),(221,1),(232,1),(312,1),(321,1),(330,1),(339,1),(395,1),(399,1),(443,1),(453,1)}
       163:{2,3,4}:{(111,1),(222,1)}
       164:{1,3,5}:{(111,1),(112,1),(113,1),(222,1),(224,1)}
       165:{1,2,4,6}:{(112,1),(114,1),(126,1),(224,1),(225,1),(236,1),(332,1)}
       166:{2,3,4,5}:{(113,1),(127,1),(223,1),(226,1),(397,1)}
       167:{2,3,6}:{(113,1),(114,1),(224,1),(227,1)}
       168:{2,4,7}:{(114,1),(115,1),(129,1),(227,1)}
       169:{1,3,5,7}:{(116,1),(117,1),(118,1),(125,1),(228,1),(229,1)}
       170:{1,2,6}:{(117,1),(229,1)}
       171:{2,4,5,7}:{(118,1),(120,1),(127,1),(228,1),(231,1),(239,1),(339,1)}
       172:{2,3,6}:{(118,1),(121,1),(229,1),(231,1)}
       173:{2,6,7}:{(119,1),(129,1)}
       174:{1,3,4,6}:{(120,1),(121,1),(123,1),(218,1),(231,1),(233,1)}
       175:{1,3,6,7}:{(121,1),(122,1),(131,1),(219,1),(232,1),(453,1)}
       176:{1,4,5,6}:{(123,1),(220,1),(233,1),(235,1),(393,1)}
       177:{1,4,6,7}:{(123,1),(124,1),(221,1),(235,1),(401,1)}
       178:{1,4,5}:{(125,1),(127,1),(236,1)}
       179:{1,3,5,6}:{(125,1),(126,1),(128,1),(224,1),(229,1),(236,1),(237,1),(337,1)}
       180:{1,2,5,7}:{(126,1),(129,1),(225,1),(230,1),(237,1),(408,1)}
       181:{2,4,6}:{(127,1),(128,1),(130,1),(236,1),(239,1)}
       182:{2,3,5,7}:{(128,1),(129,1),(131,1),(227,1),(232,1),(237,1),(239,1),(333,1),(339,1),(408,1)}
       183:{1,3,4,5,6}:{(130,1),(233,1),(238,1),(240,1),(322,1),(334,1),(400,1),(439,1)}
       184:{1,3,4,7}:{(130,1),(131,1),(239,1),(323,1),(401,1),(440,1)}
       185:{1,2,3,5}:{(133,1),(241,1),(247,1),(344,1)}
       186:{1,3,4,5}:{(132,1),(243,1),(244,1),(344,1),(349,1)}
       187:{2,3,4,6}:{(132,1),(134,1),(244,1),(245,1),(269,1),(352,1),(412,1)}
       188:{1,2,4,6}:{(133,1),(139,1),(241,1),(246,1),(247,1),(255,1)}
       189:{2,3,4,6}:{(135,1),(140,1),(242,1),(246,1),(248,1),(257,1),(343,1),(347,1),(352,1),(412,1)}
       190:{1,3,5,6}:{(134,1),(137,1),(244,1),(249,1),(250,1)}
       191:{2,3,5,7}:{(134,1),(138,1),(141,1),(245,1),(250,1),(270,1)}
       192:{1,3,5}:{(135,1),(136,1),(248,1)}
       193:{1,2,4,5,6}:{(136,1),(137,1),(143,1),(152,1),(249,1),(252,1),(253,1),(261,1),(265,1),(345,1),(352,1),(358,1),(364,1),(417,1),(424,1),(444,1)}
       194:{1,4,5,7}:{(137,1),(138,1),(144,1),(250,1),(418,1),(421,1)}
       195:{1,3,4,7}:{(139,1),(140,1),(246,1),(254,1),(414,1),(418,1)}
       196:{1,2,5,7}:{(139,1),(247,1),(254,1),(255,1)}
       197:{2,3,5,7}:{(140,1),(142,1),(248,1),(254,1),(256,1),(257,1)}
       198:{1,3,6,7}:{(141,1),(144,1),(250,1),(258,1)}
       199:{1,3,4,5,7}:{(142,1),(145,1),(159,1),(251,1),(256,1),(259,1),(355,1),(360,1)}
       200:{1,3,6}:{(142,1),(143,1),(257,1)}
       201:{1,2,4,6,7}:{(143,1),(144,1),(147,1),(160,1),(253,1),(258,1),(260,1),(262,1),(359,1),(448,1),(450,1),(454,1)}
       202:{1,4,6}:{(145,1),(146,1),(161,1)}
       203:{1,3,5,6,7}:{(146,1),(147,1),(162,1),(260,1),(262,1),(287,1),(360,1),(365,1),(379,1)}
       204:{1,3,4,6}:{(148,1),(149,1),(154,1),(263,1),(264,1),(273,1),(364,1)}
       205:{1,2,5}:{(148,1),(264,1)}
       206:{2,3,5}:{(149,1),(264,1),(266,1)}
       207:{2,5,6}:{(150,1),(157,1),(268,1)}
       208:{1,3,5,7}:{(150,1),(151,1),(153,1),(158,1),(268,1),(270,1),(379,1),(421,1)}
       209:{3,4,5}:{(266,1),(269,1)}
       210:{3,5,6}:{(152,1),(269,1),(270,1)}
       211:{2,4,5,7}:{(152,1),(153,1),(160,1),(268,1),(270,1),(367,1)}
       212:{2,3,4,7}:{(154,1),(163,1),(263,1),(271,1),(343,1),(425,1)}
       213:{1,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(264,1),(271,1),(273,1),(283,1),(344,1),(414,1)}
       214:{1,2,4,6}:{(155,1),(157,1),(170,1),(255,1),(265,1),(273,1),(286,1),(356,1),(364,1),(369,1)}
       215:{2,3,4,5,7}:{(156,1),(159,1),(166,1),(171,1),(256,1),(266,1),(272,1),(275,1),(285,1),(346,1),(367,1),(373,1),(416,1)}
       216:{2,3,6}:{(156,1),(157,1),(273,1)}
       217:{2,4,6,7}:{(157,1),(158,1),(168,1),(173,1),(258,1),(268,1),(276,1),(348,1),(367,1)}
       218:{3,4,6}:{(159,1),(161,1),(277,1)}
       219:{3,6,7}:{(160,1),(270,1)}
       220:{2,4,5,6}:{(161,1),(176,1),(261,1),(277,1),(279,1),(288,1),(358,1)}
       221:{2,4,6,7}:{(161,1),(162,1),(177,1),(262,1),(278,1),(279,1),(367,1),(425,1)}
       222:{2,3,5}:{(163,1),(164,1),(280,1),(281,1)}
       223:{1,3,4,5}:{(164,1),(166,1),(178,1),(280,1),(282,1)}
       224:{1,3,6}:{(164,1),(165,1),(167,1),(281,1),(283,1)}
       225:{1,2,4,7}:{(165,1),(168,1),(180,1),(283,1),(293,1),(376,1)}
       226:{2,3,4,6}:{(166,1),(167,1),(181,1),(282,1),(284,1),(285,1),(423,1)}
       227:{2,3,7}:{(167,1),(168,1),(283,1)}
       228:{1,4,5,7}:{(169,1),(171,1),(178,1),(286,1),(293,1),(379,1)}
       229:{1,3,6}:{(169,1),(170,1),(172,1),(286,1)}
       230:{1,2,6,7}:{(170,1),(173,1),(180,1),(287,1),(430,1)}
       231:{2,4,6}:{(171,1),(172,1),(174,1),(286,1),(288,1)}
       232:{2,3,6,7}:{(172,1),(173,1),(175,1),(182,1),(287,1),(289,1),(430,1)}
       233:{1,3,5,6}:{(174,1),(176,1),(277,1),(288,1),(290,1)}
       234:{1,3,4,6,7}:{(174,1),(175,1),(177,1),(184,1),(278,1),(289,1),(290,1)}
       235:{1,4,5,7}:{(176,1),(177,1),(279,1),(290,1),(421,1)}
       236:{1,4,6}:{(178,1),(179,1),(181,1),(293,1)}
       237:{1,3,5,7}:{(179,1),(180,1),(182,1),(283,1),(287,1),(293,1),(379,1)}
       238:{2,4,5,6}:{(181,1),(183,1),(284,1),(288,1),(292,1),(294,1),(375,1)}
       239:{2,4,7}:{(181,1),(182,1),(184,1),(293,1)}
       240:{1,3,4,5,7}:{(183,1),(184,1),(290,1),(294,1),(295,1),(368,1),(377,1),(426,1),(449,1)}
       241:{1,2,4}:{(185,1),(296,1)}
       242:{2,3,4}:{(296,1),(298,1)}
       243:{2,4,5}:{(186,1),(298,1),(299,1)}
       244:{1,3,4,6}:{(186,1),(187,1),(190,1),(299,1),(300,1),(384,1),(388,1)}
       245:{2,3,4,7}:{(187,1),(191,1),(300,1),(323,1),(391,1),(432,1)}
       246:{1,3,4,6}:{(188,1),(189,1),(195,1),(296,1),(301,1),(309,1),(384,1),(388,1)}
       247:{1,2,5}:{(188,1),(301,1)}
       248:{2,3,5}:{(189,1),(192,1),(301,1),(303,1)}
       249:{2,5,6}:{(190,1),(299,1),(305,1)}
       250:{1,3,5,7}:{(190,1),(191,1),(194,1),(198,1),(300,1),(305,1)}
       251:{1,3,4,5}:{(192,1),(209,1),(303,1),(306,1),(317,1),(397,1)}
       252:{1,3,5,6}:{(192,1),(193,1),(200,1),(210,1),(304,1),(306,1),(307,1),(384,1),(439,1)}
       253:{1,2,4,5,7}:{(193,1),(194,1),(201,1),(211,1),(305,1),(307,1),(315,1),(319,1),(385,1),(391,1),(395,1),(401,1),(436,1),(441,1),(451,1)}
       254:{1,3,5,7}:{(195,1),(196,1),(197,1),(301,1),(308,1),(309,1)}
       255:{1,2,6}:{(196,1),(309,1)}
       256:{2,4,5,7}:{(197,1),(199,1),(303,1),(308,1),(311,1),(391,1),(395,1)}
       257:{2,3,6}:{(197,1),(200,1),(309,1),(311,1)}
       258:{2,6,7}:{(198,1),(305,1)}
       259:{1,3,4,6}:{(199,1),(200,1),(202,1),(218,1),(311,1),(313,1)}
       260:{1,3,6,7}:{(200,1),(201,1),(219,1),(307,1),(312,1),(453,1)}
       261:{1,4,5,6}:{(202,1),(220,1),(313,1),(315,1),(337,1)}
       262:{1,4,6,7}:{(202,1),(203,1),(221,1),(315,1),(401,1)}
       263:{2,3,4,6}:{(204,1),(212,1),(316,1),(325,1),(398,1)}
       264:{1,3,5}:{(204,1),(205,1),(206,1),(316,1),(317,1)}
       265:{1,2,5,6}:{(205,1),(207,1),(214,1),(318,1),(319,1),(337,1),(393,1),(404,1)}
       266:{2,4,5}:{(206,1),(209,1),(317,1),(320,1)}
       267:{2,3,5,6}:{(206,1),(207,1),(210,1),(216,1),(318,1),(320,1),(321,1)}
       268:{2,5,7}:{(207,1),(208,1),(217,1)}
       269:{3,4,6}:{(209,1),(210,1),(320,1),(323,1)}
       270:{3,5,7}:{(210,1),(211,1),(219,1),(323,1)}
       271:{2,3,5,7}:{(212,1),(213,1),(222,1),(316,1),(324,1),(325,1),(333,1),(382,1),(432,1)}
       272:{1,3,4,5,7}:{(213,1),(215,1),(223,1),(228,1),(308,1),(317,1),(324,1),(326,1),(335,1),(383,1),(397,1),(401,1),(406,1),(434,1),(440,1)}
       273:{1,3,6}:{(213,1),(214,1),(216,1),(325,1)}
       274:{1,2,4,6,7}:{(214,1),(217,1),(225,1),(230,1),(310,1),(319,1),(327,1),(338,1),(385,1),(394,1),(401,1),(405,1)}
       275:{2,3,4,6}:{(215,1),(216,1),(218,1),(231,1),(311,1),(320,1),(326,1),(328,1)}
       276:{2,3,6,7}:{(216,1),(217,1),(219,1),(227,1),(321,1),(327,1),(387,1)}
       277:{3,5,6}:{(218,1),(220,1),(330,1)}
       278:{3,4,6,7}:{(218,1),(219,1),(221,1),(323,1),(330,1),(440,1),(453,1)}
       279:{2,4,5,7}:{(220,1),(221,1),(235,1),(315,1),(330,1),(339,1),(395,1)}
       280:{2,4,5}:{(222,1),(223,1),(332,1)}
       281:{2,3,6}:{(222,1),(224,1),(332,1),(333,1)}
       282:{1,3,4,6}:{(223,1),(224,1),(226,1),(236,1),(332,1),(334,1),(335,1)}
       283:{1,3,7}:{(224,1),(225,1),(227,1),(333,1)}
       284:{2,3,5,6}:{(226,1),(238,1),(334,1),(336,1),(439,1)}
       285:{2,3,4,7}:{(226,1),(227,1),(239,1),(335,1),(336,1),(440,1)}
       286:{1,4,6}:{(228,1),(229,1),(231,1),(337,1)}
       287:{1,3,6,7}:{(229,1),(230,1),(232,1),(237,1),(338,1)}
       288:{2,5,6}:{(231,1),(233,1),(337,1),(339,1)}
       289:{2,4,6,7}:{(231,1),(232,1),(234,1),(239,1),(338,1),(339,1)}
       290:{1,3,5,7}:{(233,1),(234,1),(235,1),(330,1),(339,1)}
       291:{1,4,5,6,7}:{(235,1),(331,1),(340,1),(438,1),(442,1)}
       292:{1,4,5,6}:{(236,1),(238,1),(334,1),(337,1),(341,1)}
       293:{1,4,7}:{(236,1),(237,1),(239,1)}
       294:{2,4,5,7}:{(238,1),(239,1),(240,1),(336,1),(339,1),(341,1),(342,1),(408,1)}
       295:{1,3,4,6,7}:{(240,1),(340,1),(342,1),(403,1),(409,1),(442,1),(453,1)}
       296:{1,3,4}:{(241,1),(242,1),(343,1),(344,1)}
       297:{1,2,4,5}:{(241,1),(243,1),(247,1),(344,1),(345,1),(349,1),(411,1)}
       298:{2,3,5}:{(242,1),(243,1),(344,1),(347,1)}
       299:{2,4,6}:{(243,1),(244,1),(249,1),(347,1),(348,1)}
       300:{1,3,4,7}:{(244,1),(245,1),(250,1),(348,1),(414,1),(418,1)}
       301:{1,3,5}:{(246,1),(247,1),(248,1),(349,1)}
       302:{1,2,5,6}:{(247,1),(249,1),(255,1),(345,1),(350,1),(351,1),(444,1)}
       303:{2,4,5}:{(248,1),(251,1),(349,1),(352,1)}
       304:{2,3,5,6}:{(248,1),(249,1),(252,1),(257,1),(347,1),(350,1),(352,1),(353,1),(358,1),(412,1),(444,1)}
       305:{2,5,7}:{(249,1),(250,1),(258,1),(348,1)}
       306:{1,3,4,6}:{(251,1),(252,1),(269,1),(352,1),(355,1),(364,1),(423,1)}
       307:{1,3,5,7}:{(252,1),(253,1),(260,1),(270,1),(353,1),(355,1),(414,1),(449,1)}
       308:{1,4,5,7}:{(254,1),(256,1),(349,1),(356,1),(418,1),(421,1)}
       309:{1,3,6}:{(254,1),(255,1),(257,1),(356,1)}
       310:{1,2,6,7}:{(255,1),(258,1),(351,1),(357,1),(454,1)}
       311:{2,4,6}:{(256,1),(257,1),(259,1),(356,1),(358,1)}
       312:{2,3,6,7}:{(257,1),(258,1),(260,1),(353,1),(357,1),(359,1),(454,1)}
       313:{1,3,5,6}:{(259,1),(261,1),(277,1),(358,1),(360,1)}
       314:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(278,1),(355,1),(359,1),(360,1)}
       315:{1,4,5,7}:{(261,1),(262,1),(279,1),(360,1),(379,1)}
       316:{2,3,5}:{(263,1),(264,1),(362,1)}
       317:{1,4,5}:{(264,1),(266,1),(362,1),(364,1)}
       318:{1,3,5,6}:{(264,1),(265,1),(267,1),(273,1),(363,1),(364,1),(365,1)}
       319:{1,2,5,7}:{(265,1),(268,1),(274,1),(365,1),(379,1),(421,1),(428,1)}
       320:{2,4,6}:{(266,1),(267,1),(269,1),(364,1),(367,1)}
       321:{2,3,5,7}:{(267,1),(268,1),(270,1),(276,1),(365,1),(367,1)}
       322:{3,4,5,6}:{(269,1),(277,1),(366,1),(368,1)}
       323:{3,4,7}:{(269,1),(270,1),(367,1)}
       324:{2,4,5,7}:{(271,1),(272,1),(280,1),(362,1),(369,1),(376,1),(411,1),(425,1),(428,1),(445,1)}
       325:{2,3,6}:{(271,1),(273,1),(369,1)}
       326:{1,3,4,6}:{(272,1),(273,1),(275,1),(286,1),(356,1),(364,1),(369,1),(371,1),(423,1)}
       327:{1,3,6,7}:{(273,1),(274,1),(276,1),(283,1),(365,1),(370,1),(414,1)}
       328:{2,3,5,6}:{(275,1),(277,1),(288,1),(358,1),(366,1),(371,1),(373,1)}
       329:{2,3,4,6,7}:{(275,1),(276,1),(278,1),(285,1),(289,1),(359,1),(367,1),(372,1),(373,1),(378,1),(416,1),(427,1),(447,1)}
       330:{3,5,7}:{(277,1),(278,1),(279,1)}
       331:{2,4,5,6,7}:{(279,1),(291,1),(361,1),(374,1),(380,1),(422,1),(427,1),(450,1)}
       332:{2,4,6}:{(280,1),(281,1),(282,1),(375,1),(376,1)}
       333:{2,3,7}:{(281,1),(283,1),(376,1)}
       334:{1,3,5,6}:{(282,1),(284,1),(292,1),(375,1),(377,1)}
       335:{1,3,4,7}:{(282,1),(283,1),(285,1),(293,1),(376,1),(377,1)}
       336:{2,3,5,7}:{(284,1),(285,1),(294,1),(377,1),(378,1),(449,1)}
       337:{1,5,6}:{(286,1),(288,1),(379,1)}
       338:{1,4,6,7}:{(286,1),(287,1),(289,1),(293,1),(379,1)}
       339:{2,5,7}:{(288,1),(289,1),(290,1),(379,1)}
       340:{1,3,5,6,7}:{(290,1),(291,1),(295,1),(374,1),(380,1)}
       341:{1,4,5,7}:{(292,1),(293,1),(294,1),(377,1),(379,1),(381,1)}
       342:{2,4,6,7}:{(294,1),(295,1),(378,1),(380,1),(381,1),(430,1)}
       343:{2,3,4}:{(296,1),(382,1)}
       344:{1,3,5}:{(296,1),(297,1),(298,1),(382,1),(384,1)}
       345:{1,2,4,6}:{(297,1),(299,1),(302,1),(384,1),(385,1),(388,1),(431,1)}
       346:{2,3,4,5}:{(298,1),(303,1),(383,1),(386,1),(397,1)}
       347:{2,3,6}:{(298,1),(299,1),(384,1),(387,1)}
       348:{2,4,7}:{(299,1),(300,1),(305,1),(387,1)}
       349:{1,4,5}:{(301,1),(303,1),(388,1)}
       350:{1,3,5,6}:{(301,1),(302,1),(304,1),(309,1),(384,1),(388,1),(389,1),(393,1)}
       351:{1,2,5,7}:{(302,1),(305,1),(310,1),(385,1),(389,1),(451,1)}
       352:{2,4,6}:{(303,1),(304,1),(306,1),(388,1),(391,1)}
       353:{2,3,5,7}:{(304,1),(305,1),(307,1),(312,1),(387,1),(389,1),(391,1),(395,1),(432,1),(451,1)}
       354:{1,3,4,5,6}:{(306,1),(313,1),(322,1),(390,1),(392,1),(400,1),(433,1),(439,1)}
       355:{1,3,4,7}:{(306,1),(307,1),(323,1),(391,1),(401,1),(440,1)}
       356:{1,4,6}:{(308,1),(309,1),(311,1),(393,1)}
       357:{1,3,6,7}:{(309,1),(310,1),(312,1),(389,1),(394,1)}
       358:{2,5,6}:{(311,1),(313,1),(393,1),(395,1)}
       359:{2,4,6,7}:{(311,1),(312,1),(314,1),(391,1),(394,1),(395,1)}
       360:{1,3,5,7}:{(313,1),(314,1),(315,1),(330,1),(395,1)}
       361:{1,4,5,6,7}:{(315,1),(331,1),(396,1),(410,1),(442,1)}
       362:{2,4,5}:{(316,1),(317,1),(397,1),(398,1)}
       363:{2,3,5,6}:{(316,1),(318,1),(325,1),(398,1),(399,1),(404,1),(439,1)}
       364:{1,4,6}:{(317,1),(318,1),(320,1),(398,1),(401,1)}
       365:{1,3,5,7}:{(318,1),(319,1),(321,1),(327,1),(399,1),(401,1)}
       366:{2,4,5,6}:{(320,1),(322,1),(328,1),(400,1),(402,1)}
       367:{2,4,7}:{(320,1),(321,1),(323,1),(401,1)}
       368:{3,4,5,7}:{(322,1),(323,1),(330,1),(402,1),(403,1)}
       369:{2,4,6}:{(324,1),(325,1),(326,1),(404,1)}
       370:{2,3,6,7}:{(325,1),(327,1),(333,1),(399,1),(405,1),(432,1),(453,1)}
       371:{1,3,5,6}:{(326,1),(328,1),(337,1),(393,1),(400,1),(404,1),(406,1),(439,1)}
       372:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(335,1),(338,1),(394,1),(401,1),(405,1),(406,1),(409,1),(434,1),(440,1),(442,1),(452,1),(453,1)}
       373:{2,3,5,7}:{(328,1),(329,1),(330,1),(339,1),(395,1),(402,1),(406,1)}
       374:{3,5,6,7}:{(330,1),(331,1),(403,1),(453,1)}
       375:{2,5,6}:{(332,1),(334,1),(408,1)}
       376:{2,4,7}:{(332,1),(333,1),(335,1),(408,1)}
       377:{1,3,5,7}:{(334,1),(335,1),(336,1),(341,1),(408,1),(409,1)}
       378:{2,3,6,7}:{(336,1),(342,1),(409,1),(453,1)}
       379:{1,5,7}:{(337,1),(338,1),(339,1)}
       380:{2,5,6,7}:{(339,1),(340,1),(342,1),(410,1)}
       381:{1,4,6,7}:{(341,1),(342,1),(409,1),(410,1)}
       382:{2,3,5}:{(343,1),(344,1),(411,1),(412,1)}
       383:{1,3,4,5}:{(344,1),(346,1),(349,1),(411,1),(413,1)}
       384:{1,3,6}:{(344,1),(345,1),(347,1),(412,1),(414,1)}
       385:{1,2,4,7}:{(345,1),(348,1),(351,1),(414,1),(418,1),(445,1)}
       386:{2,3,4,6}:{(346,1),(347,1),(352,1),(413,1),(415,1),(416,1),(423,1)}
       387:{2,3,7}:{(347,1),(348,1),(414,1)}
       388:{1,4,6}:{(349,1),(350,1),(352,1),(418,1)}
       389:{1,3,5,7}:{(350,1),(351,1),(353,1),(357,1),(414,1),(418,1),(421,1)}
       390:{2,4,5,6}:{(352,1),(354,1),(358,1),(415,1),(417,1),(419,1),(444,1)}
       391:{2,4,7}:{(352,1),(353,1),(355,1),(418,1)}
       392:{1,3,4,5,7}:{(354,1),(355,1),(360,1),(368,1),(419,1),(420,1),(426,1),(446,1),(449,1)}
       393:{1,5,6}:{(356,1),(358,1),(421,1)}
       394:{1,4,6,7}:{(356,1),(357,1),(359,1),(418,1),(421,1)}
       395:{2,5,7}:{(358,1),(359,1),(360,1),(421,1)}
       396:{1,3,5,6,7}:{(360,1),(361,1),(374,1),(420,1),(422,1)}
       397:{3,4,5}:{(362,1),(423,1)}
       398:{2,4,6}:{(362,1),(363,1),(364,1),(423,1),(425,1)}
       399:{2,3,5,7}:{(363,1),(365,1),(370,1),(425,1),(428,1),(449,1)}
       400:{1,4,5,6}:{(364,1),(366,1),(371,1),(424,1),(426,1)}
       401:{1,4,7}:{(364,1),(365,1),(367,1),(425,1)}
       402:{2,4,5,7}:{(366,1),(367,1),(368,1),(373,1),(426,1),(427,1)}
       403:{3,4,6,7}:{(368,1),(374,1),(427,1)}
       404:{2,5,6}:{(369,1),(371,1),(428,1)}
       405:{2,4,6,7}:{(369,1),(370,1),(372,1),(376,1),(425,1),(428,1),(430,1),(445,1),(454,1)}
       406:{1,3,5,7}:{(371,1),(372,1),(373,1),(379,1),(421,1),(426,1),(428,1),(449,1)}
       407:{2,3,5,6,7}:{(373,1),(374,1),(378,1),(380,1),(422,1),(427,1),(429,1),(447,1)}
       408:{2,5,7}:{(375,1),(376,1),(377,1),(430,1)}
       409:{1,3,6,7}:{(377,1),(378,1),(381,1),(430,1)}
       410:{1,5,6,7}:{(379,1),(380,1),(381,1)}
       411:{2,4,5}:{(382,1),(383,1),(431,1)}
       412:{2,3,6}:{(382,1),(384,1),(431,1),(432,1)}
       413:{1,3,4,6}:{(383,1),(384,1),(386,1),(388,1),(431,1),(433,1),(434,1)}
       414:{1,3,7}:{(384,1),(385,1),(387,1),(432,1)}
       415:{2,3,5,6}:{(386,1),(390,1),(433,1),(435,1),(439,1)}
       416:{2,3,4,7}:{(386,1),(387,1),(391,1),(434,1),(435,1),(440,1)}
       417:{1,4,5,6}:{(388,1),(390,1),(393,1),(433,1),(436,1)}
       418:{1,4,7}:{(388,1),(389,1),(391,1)}
       419:{2,4,5,7}:{(390,1),(391,1),(392,1),(395,1),(435,1),(436,1),(437,1),(451,1)}
       420:{1,3,4,6,7}:{(392,1),(396,1),(403,1),(437,1),(442,1),(452,1),(453,1)}
       421:{1,5,7}:{(393,1),(394,1),(395,1)}
       422:{2,5,6,7}:{(395,1),(396,1),(437,1),(438,1)}
       423:{3,4,6}:{(397,1),(398,1),(439,1),(440,1)}
       424:{2,4,5,6}:{(398,1),(400,1),(404,1),(439,1),(441,1)}
       425:{2,4,7}:{(398,1),(399,1),(401,1),(440,1)}
       426:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(441,1),(442,1)}
       427:{2,4,6,7}:{(402,1),(403,1),(407,1),(442,1)}
       428:{2,5,7}:{(404,1),(405,1),(406,1)}
       429:{1,3,5,6,7}:{(406,1),(407,1),(409,1),(410,1),(438,1),(442,1),(443,1),(452,1),(453,1)}
       430:{2,6,7}:{(408,1),(409,1)}
       431:{2,4,6}:{(411,1),(412,1),(413,1),(444,1),(445,1)}
       432:{2,3,7}:{(412,1),(414,1),(445,1)}
       433:{1,3,5,6}:{(413,1),(415,1),(417,1),(444,1),(446,1)}
       434:{1,3,4,7}:{(413,1),(414,1),(416,1),(418,1),(445,1),(446,1)}
       435:{2,3,5,7}:{(415,1),(416,1),(419,1),(446,1),(447,1),(449,1)}
       436:{1,4,5,7}:{(417,1),(418,1),(419,1),(421,1),(446,1),(448,1)}
       437:{2,4,6,7}:{(419,1),(420,1),(422,1),(447,1),(448,1),(454,1)}
       438:{1,5,6,7}:{(421,1),(422,1),(448,1)}
       439:{3,5,6}:{(423,1),(424,1),(449,1)}
       440:{3,4,7}:{(423,1),(425,1),(449,1)}
       441:{2,4,5,7}:{(424,1),(425,1),(426,1),(428,1),(449,1),(450,1)}
       442:{1,4,6,7}:{(426,1),(427,1),(429,1),(450,1)}
       443:{2,5,6,7}:{(428,1),(429,1),(430,1),(450,1),(454,1)}
       444:{2,5,6}:{(431,1),(433,1),(451,1)}
       445:{2,4,7}:{(431,1),(432,1),(434,1),(451,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(435,1),(436,1),(451,1),(452,1)}
       447:{2,3,6,7}:{(435,1),(437,1),(452,1),(453,1)}
       448:{1,4,6,7}:{(436,1),(437,1),(438,1),(452,1)}
       449:{3,5,7}:{(439,1),(440,1),(441,1),(453,1)}
       450:{2,4,6,7}:{(441,1),(442,1),(443,1),(453,1)}
       451:{2,5,7}:{(444,1),(445,1),(446,1),(454,1)}
       452:{1,3,6,7}:{(446,1),(447,1),(448,1),(454,1)}
       453:{3,6,7}:{(449,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2587 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(41,1),(49,1),(82,1),(90,1),(92,1),(95,1),(148,1),(189,1),(193,1),(226,1),(227,1),(229,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(65,1),(109,1),(122,1),(165,1),(172,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(27,1),(65,1),(69,1),(110,1),(119,1),(165,1),(171,1),(211,1)}
         3:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(62,1),(112,1),(118,1),(213,1),(237,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(12,1),(42,1),(81,1),(138,1),(145,1),(190,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(43,1),(95,1),(148,1),(193,1)}
         6:{1,3,5,7}:{(2,1),(3,1),(12,1),(13,1),(14,1),(141,1),(194,1)}
         7:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(226,1),(228,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1),(17,1),(39,1),(87,1),(90,1),(91,1),(92,1),(148,1)}
         9:{1,2,5,6,7}:{(19,1),(20,1),(67,1),(107,1),(123,1),(164,1),(172,1)}
        10:{2,3,5,6,7}:{(4,1),(19,1),(21,1),(25,1),(56,1),(58,1),(65,1),(107,1),(115,1),(172,1),(173,1),(213,1)}
        11:{1,4,6,7}:{(4,1),(21,1),(23,1),(170,1),(211,1)}
        12:{1,3,6,7}:{(5,1),(6,1),(25,1),(118,1),(213,1)}
        13:{1,3,4,7}:{(6,1),(7,1),(27,1),(211,1),(214,1)}
        14:{2,3,5,7}:{(6,1),(8,1),(25,1),(27,1),(28,1),(65,1),(119,1),(120,1)}
        15:{1,3,4,5}:{(7,1),(29,1),(62,1),(127,1),(236,1),(237,1)}
        16:{2,4,6}:{(7,1),(8,1),(27,1),(29,1),(30,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(72,1),(118,1),(122,1)}
        18:{1,2,4,5,6}:{(32,1),(33,1),(76,1),(78,1),(135,1),(137,1),(151,1),(179,1),(183,1),(185,1),(193,1),(198,1),(221,1),(229,1),(244,1)}
        19:{1,3,5,6,7}:{(9,1),(10,1),(34,1),(35,1),(44,1),(79,1),(93,1),(145,1),(152,1)}
        20:{1,2,4,6,7}:{(9,1),(32,1),(34,1),(35,1),(80,1),(185,1),(193,1),(221,1)}
        21:{2,4,6,7}:{(10,1),(11,1),(34,1),(36,1),(37,1),(143,1),(193,1),(196,1)}
        22:{2,3,4,6}:{(16,1),(38,1),(39,1),(40,1),(87,1),(91,1),(150,1),(197,1),(228,1)}
        23:{1,4,5,7}:{(11,1),(36,1),(41,1),(42,1),(138,1)}
        24:{1,3,4,6,7}:{(11,1),(12,1),(13,1),(37,1),(42,1),(43,1),(45,1)}
        25:{2,3,6,7}:{(12,1),(14,1),(43,1),(44,1),(87,1),(148,1)}
        26:{1,3,4,5,7}:{(13,1),(15,1),(42,1),(45,1),(46,1),(83,1),(88,1),(144,1),(154,1),(194,1),(199,1)}
        27:{2,4,7}:{(13,1),(14,1),(16,1),(47,1)}
        28:{1,3,5,7}:{(14,1),(17,1),(44,1),(47,1),(48,1),(93,1),(97,1)}
        29:{2,4,5}:{(15,1),(16,1),(39,1),(49,1),(90,1),(150,1)}
        30:{1,4,6}:{(16,1),(17,1),(47,1),(49,1)}
        31:{1,2,5,6}:{(17,1),(48,1),(50,1),(90,1),(148,1)}
        32:{1,2,4,5,7}:{(18,1),(20,1),(51,1),(54,1),(101,1),(107,1),(123,1),(160,1),(171,1),(177,1),(200,1),(204,1)}
        33:{1,3,5,6}:{(18,1),(51,1),(52,1),(53,1),(157,1),(202,1),(203,1),(213,1),(237,1)}
        34:{1,4,6,7}:{(19,1),(21,1),(54,1),(170,1),(177,1)}
        35:{1,3,6,7}:{(20,1),(51,1),(56,1),(203,1),(213,1)}
        36:{2,4,5,7}:{(21,1),(23,1),(54,1),(57,1),(58,1),(65,1),(107,1)}
        37:{3,4,6,7}:{(21,1),(58,1),(113,1),(213,1),(214,1)}
        38:{2,3,4,7}:{(22,1),(27,1),(60,1),(61,1),(120,1),(175,1),(214,1)}
        39:{2,3,5}:{(22,1),(29,1),(62,1),(216,1),(237,1)}
        40:{1,3,4,6}:{(22,1),(30,1),(61,1),(62,1),(63,1),(72,1),(112,1),(118,1),(127,1),(169,1),(212,1)}
        41:{1,4,5,6}:{(23,1),(57,1),(64,1),(164,1),(170,1),(217,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(58,1),(64,1),(65,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(68,1)}
        44:{1,3,6,7}:{(25,1),(28,1),(66,1),(67,1),(118,1)}
        45:{1,3,4,6}:{(26,1),(64,1),(68,1),(113,1),(118,1),(170,1),(213,1)}
        46:{2,4,5,7}:{(26,1),(27,1),(29,1),(60,1),(65,1),(68,1),(69,1),(119,1),(175,1),(216,1)}
        47:{1,4,7}:{(27,1),(28,1),(30,1)}
        48:{1,2,5,7}:{(28,1),(31,1),(67,1),(70,1),(119,1)}
        49:{1,4,5}:{(29,1),(30,1),(62,1),(169,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(63,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(32,1),(33,1),(35,1),(73,1),(74,1),(194,1),(219,1)}
        52:{1,3,4,6}:{(33,1),(73,1),(75,1),(76,1),(198,1),(228,1)}
        53:{2,3,5,6}:{(33,1),(74,1),(76,1),(77,1),(129,1),(137,1),(180,1),(183,1),(184,1),(221,1)}
        54:{1,4,5,7}:{(34,1),(36,1),(78,1),(79,1),(93,1)}
        55:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(73,1),(79,1),(80,1),(131,1)}
        56:{2,3,6,7}:{(35,1),(74,1),(80,1),(81,1),(180,1),(221,1)}
        57:{2,4,5,6}:{(36,1),(41,1),(78,1),(84,1),(92,1),(137,1),(143,1),(193,1),(229,1)}
        58:{3,5,7}:{(36,1),(37,1),(84,1)}
        59:{2,3,4,6,7}:{(37,1),(38,1),(43,1),(80,1),(85,1),(86,1),(87,1),(128,1),(143,1),(147,1),(180,1),(196,1),(197,1),(228,1),(240,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(46,1),(87,1),(88,1),(194,1)}
        61:{1,3,4,7}:{(38,1),(40,1),(47,1),(88,1),(89,1),(97,1),(141,1),(192,1)}
        62:{1,3,5}:{(39,1),(40,1),(49,1),(90,1),(227,1)}
        63:{2,4,6}:{(40,1),(89,1),(90,1),(91,1),(148,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(42,1),(45,1),(84,1),(92,1),(199,1)}
        65:{2,5,7}:{(42,1),(43,1),(92,1),(93,1)}
        66:{1,4,6,7}:{(43,1),(44,1),(47,1),(93,1),(95,1)}
        67:{1,2,6,7}:{(44,1),(48,1),(148,1)}
        68:{2,4,6}:{(45,1),(46,1),(87,1),(92,1),(95,1),(148,1)}
        69:{1,4,5,7}:{(46,1),(47,1),(49,1),(88,1),(93,1),(95,1),(192,1),(227,1)}
        70:{1,2,4,7}:{(47,1),(48,1),(50,1),(89,1),(97,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(90,1),(98,1),(150,1)}
        72:{1,3,6}:{(50,1),(91,1),(97,1),(98,1)}
        73:{1,3,4,7}:{(51,1),(52,1),(101,1),(177,1),(214,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(56,1),(101,1),(102,1),(107,1),(204,1),(205,1)}
        75:{1,3,4,5}:{(52,1),(103,1),(157,1),(209,1),(217,1),(237,1)}
        76:{2,4,6}:{(52,1),(53,1),(101,1),(103,1),(104,1)}
        77:{1,3,5,6}:{(53,1),(102,1),(104,1),(105,1),(157,1),(163,1),(164,1),(203,1)}
        78:{1,4,5,6}:{(54,1),(57,1),(106,1),(122,1),(170,1),(236,1)}
        79:{1,3,5,7}:{(54,1),(55,1),(58,1),(106,1),(107,1)}
        80:{2,4,6,7}:{(55,1),(56,1),(101,1),(107,1),(108,1),(159,1)}
        81:{1,3,6,7}:{(56,1),(102,1),(108,1),(109,1),(203,1)}
        82:{1,2,4,6}:{(63,1),(110,1),(111,1),(112,1),(167,1),(169,1),(212,1)}
        83:{3,4,5,7}:{(58,1),(113,1),(114,1),(214,1),(237,1)}
        84:{3,5,6}:{(57,1),(58,1),(113,1),(213,1),(237,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(65,1),(107,1),(114,1),(115,1),(116,1),(216,1),(237,1),(243,1)}
        86:{1,3,4,6,7}:{(59,1),(61,1),(66,1),(108,1),(116,1),(117,1),(118,1),(124,1),(156,1),(166,1),(170,1),(177,1),(178,1),(203,1),(211,1),(212,1),(213,1),(214,1),(235,1),(242,1)}
        87:{2,3,6}:{(60,1),(68,1),(118,1),(213,1)}
        88:{1,3,5,7}:{(60,1),(61,1),(62,1),(69,1),(118,1),(119,1)}
        89:{2,4,7}:{(61,1),(63,1),(119,1),(120,1)}
        90:{2,5}:{(62,1),(63,1)}
        91:{2,3,6}:{(63,1),(72,1),(112,1),(120,1),(121,1)}
        92:{2,5,6}:{(64,1),(65,1),(68,1),(122,1),(216,1)}
        93:{1,5,7}:{(65,1),(66,1),(122,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(117,1),(123,1),(124,1),(125,1),(177,1),(200,1),(230,1),(242,1)}
        95:{1,4,6}:{(68,1),(69,1),(118,1),(122,1)}
        96:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(119,1),(123,1),(125,1),(126,1),(171,1),(175,1),(177,1),(216,1),(217,1)}
        97:{1,3,7}:{(70,1),(72,1),(120,1)}
        98:{1,3,5}:{(71,1),(72,1),(121,1),(127,1)}
        99:{2,3,4,6}:{(76,1),(128,1),(129,1),(130,1),(180,1),(184,1),(223,1),(228,1),(240,1)}
       100:{1,3,4,5,7}:{(73,1),(75,1),(79,1),(83,1),(131,1),(132,1),(144,1),(181,1),(194,1),(225,1),(241,1)}
       101:{2,4,7}:{(73,1),(74,1),(76,1),(133,1)}
       102:{1,3,5,7}:{(74,1),(77,1),(81,1),(133,1),(134,1),(138,1),(187,1)}
       103:{2,4,5}:{(75,1),(76,1),(129,1),(135,1),(183,1),(223,1)}
       104:{1,4,6}:{(76,1),(77,1),(133,1),(135,1)}
       105:{1,2,5,6}:{(77,1),(134,1),(136,1),(183,1),(221,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(84,1),(131,1),(137,1),(241,1)}
       107:{2,5,7}:{(79,1),(80,1),(137,1),(138,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(133,1),(138,1),(185,1)}
       109:{1,2,6,7}:{(81,1),(134,1),(221,1)}
       110:{1,2,4,7}:{(82,1),(89,1),(140,1),(141,1),(192,1)}
       111:{1,2,5}:{(82,1),(90,1),(142,1),(227,1)}
       112:{1,3,6}:{(82,1),(91,1),(141,1),(142,1)}
       113:{3,4,6}:{(83,1),(84,1),(143,1)}
       114:{2,4,5,7}:{(83,1),(85,1),(143,1),(144,1),(196,1),(229,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(87,1),(92,1),(137,1),(143,1),(145,1),(180,1)}
       116:{1,3,5,7}:{(85,1),(86,1),(93,1),(138,1),(144,1),(145,1),(146,1),(194,1),(199,1),(227,1),(241,1),(244,1)}
       117:{2,4,6,7}:{(86,1),(89,1),(146,1),(147,1),(148,1),(182,1),(193,1),(196,1),(197,1),(221,1),(240,1)}
       118:{1,3,6}:{(87,1),(88,1),(95,1),(148,1)}
       119:{2,5,7}:{(88,1),(89,1),(90,1),(148,1)}
       120:{2,3,7}:{(89,1),(91,1),(97,1),(141,1)}
       121:{2,3,5}:{(90,1),(91,1),(98,1),(142,1),(150,1)}
       122:{1,5,6}:{(92,1),(93,1),(95,1),(227,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(146,1),(151,1),(152,1),(244,1)}
       124:{1,3,6,7}:{(94,1),(97,1),(147,1),(152,1),(153,1),(219,1),(238,1)}
       125:{1,2,4,6}:{(95,1),(96,1),(148,1),(151,1),(153,1),(193,1),(197,1),(198,1)}
       126:{1,3,5,7}:{(96,1),(97,1),(98,1),(149,1),(153,1),(154,1),(194,1),(199,1)}
       127:{1,3,4}:{(98,1),(150,1)}
       128:{2,3,4,7}:{(99,1),(101,1),(155,1),(156,1),(205,1),(214,1),(234,1)}
       129:{2,3,5}:{(99,1),(103,1),(157,1),(237,1),(243,1)}
       130:{1,3,4,6}:{(99,1),(104,1),(156,1),(157,1),(158,1),(163,1),(202,1),(203,1),(209,1),(232,1),(242,1)}
       131:{1,3,4,6}:{(100,1),(106,1),(113,1),(159,1),(170,1),(203,1),(213,1)}
       132:{2,4,5,7}:{(100,1),(101,1),(103,1),(107,1),(155,1),(159,1),(160,1),(204,1),(234,1),(243,1)}
       133:{1,4,7}:{(101,1),(102,1),(104,1)}
       134:{1,2,5,7}:{(102,1),(105,1),(109,1),(161,1),(204,1)}
       135:{1,4,5}:{(103,1),(104,1),(157,1),(232,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(158,1),(161,1),(162,1),(163,1)}
       137:{2,5,6}:{(106,1),(107,1),(159,1),(164,1),(243,1)}
       138:{1,5,7}:{(107,1),(108,1),(164,1)}
       139:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(117,1),(161,1),(165,1),(166,1),(167,1),(207,1),(211,1),(212,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(119,1),(167,1),(168,1)}
       141:{1,3,7}:{(110,1),(112,1),(120,1)}
       142:{1,3,5}:{(111,1),(112,1),(121,1),(169,1)}
       143:{2,4,6}:{(113,1),(114,1),(115,1),(170,1)}
       144:{1,4,5,7}:{(114,1),(116,1),(170,1),(171,1),(177,1),(211,1),(217,1),(236,1)}
       145:{1,3,5,6}:{(115,1),(116,1),(118,1),(122,1),(164,1),(170,1),(172,1),(203,1),(213,1)}
       146:{2,5,7}:{(116,1),(117,1),(172,1),(216,1),(243,1)}
       147:{2,3,6,7}:{(117,1),(120,1),(124,1),(166,1),(173,1),(174,1),(205,1),(213,1),(233,1)}
       148:{2,6}:{(118,1),(119,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(168,1),(174,1),(175,1),(216,1)}
       150:{2,4}:{(121,1),(127,1),(169,1)}
       151:{1,2,5,6}:{(122,1),(123,1),(125,1),(172,1),(176,1),(216,1),(230,1)}
       152:{1,3,5,7}:{(123,1),(124,1),(173,1),(176,1),(177,1)}
       153:{1,3,6}:{(125,1),(126,1),(174,1),(213,1)}
       154:{1,3,4,7}:{(126,1),(127,1),(175,1),(177,1),(178,1),(214,1)}
       155:{2,3,5,7}:{(128,1),(129,1),(132,1),(180,1),(181,1),(194,1)}
       156:{1,3,4,7}:{(128,1),(130,1),(133,1),(181,1),(182,1),(187,1),(219,1),(239,1)}
       157:{1,3,5}:{(129,1),(130,1),(135,1),(183,1),(244,1)}
       158:{2,4,6}:{(130,1),(182,1),(183,1),(184,1),(221,1),(223,1)}
       159:{2,4,6}:{(131,1),(132,1),(137,1),(180,1),(185,1),(221,1)}
       160:{1,4,5,7}:{(132,1),(133,1),(135,1),(138,1),(181,1),(185,1),(239,1),(244,1)}
       161:{1,2,4,7}:{(133,1),(134,1),(136,1),(182,1),(187,1)}
       162:{1,2,4,5}:{(135,1),(136,1),(183,1),(188,1),(223,1)}
       163:{1,3,6}:{(136,1),(184,1),(187,1),(188,1)}
       164:{1,5,6}:{(137,1),(138,1),(185,1),(244,1)}
       165:{1,2,5,7}:{(138,1),(139,1),(146,1),(189,1),(190,1),(227,1)}
       166:{1,3,6,7}:{(139,1),(141,1),(147,1),(187,1),(190,1),(191,1),(224,1)}
       167:{1,2,6}:{(140,1),(148,1),(191,1)}
       168:{1,3,5,7}:{(140,1),(141,1),(142,1),(149,1),(191,1),(192,1),(227,1)}
       169:{1,4}:{(142,1),(150,1)}
       170:{1,4,6}:{(143,1),(144,1),(145,1),(193,1)}
       171:{2,4,5,7}:{(144,1),(146,1),(193,1),(194,1),(196,1),(229,1)}
       172:{2,5,6}:{(145,1),(146,1),(148,1),(193,1),(221,1)}
       173:{2,3,5,7}:{(146,1),(147,1),(152,1),(190,1),(194,1),(195,1),(196,1)}
       174:{2,3,6}:{(148,1),(149,1),(153,1),(191,1),(197,1)}
       175:{2,4,7}:{(149,1),(150,1),(154,1),(192,1),(197,1)}
       176:{1,3,5,6}:{(151,1),(152,1),(153,1),(195,1),(198,1),(199,1),(238,1),(244,1)}
       177:{1,4,7}:{(152,1),(196,1),(198,1)}
       178:{1,3,4,6}:{(153,1),(154,1),(197,1),(198,1),(199,1),(228,1)}
       179:{1,2,4,6}:{(158,1),(200,1),(201,1),(202,1),(230,1),(232,1),(242,1)}
       180:{2,3,6}:{(155,1),(159,1),(203,1),(213,1)}
       181:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(203,1),(204,1)}
       182:{2,4,7}:{(156,1),(158,1),(204,1),(205,1)}
       183:{2,5}:{(157,1),(158,1)}
       184:{2,3,6}:{(158,1),(163,1),(202,1),(205,1),(206,1)}
       185:{1,4,6}:{(159,1),(160,1),(164,1),(203,1)}
       186:{1,2,4,5,7}:{(160,1),(161,1),(162,1),(165,1),(171,1),(204,1),(207,1),(208,1),(211,1),(234,1),(236,1),(243,1)}
       187:{1,3,7}:{(161,1),(163,1),(205,1)}
       188:{1,3,5}:{(162,1),(163,1),(206,1),(209,1)}
       189:{1,2,5,6}:{(164,1),(165,1),(167,1),(172,1),(207,1),(210,1),(243,1)}
       190:{1,3,5,7}:{(165,1),(166,1),(173,1),(210,1),(211,1)}
       191:{1,3,6}:{(167,1),(168,1),(174,1),(212,1)}
       192:{1,4,7}:{(168,1),(169,1),(175,1),(212,1)}
       193:{2,4,6}:{(170,1),(171,1),(172,1),(213,1)}
       194:{3,5,7}:{(171,1),(213,1),(214,1),(237,1)}
       195:{2,3,5,6}:{(172,1),(173,1),(174,1),(176,1),(210,1),(213,1),(215,1),(216,1),(233,1),(237,1),(243,1)}
       196:{2,4,7}:{(173,1),(177,1),(211,1),(214,1),(215,1)}
       197:{2,4,6}:{(174,1),(175,1),(178,1),(212,1),(216,1)}
       198:{1,4,6}:{(176,1),(177,1),(215,1),(217,1)}
       199:{1,3,5}:{(178,1),(216,1),(217,1),(237,1)}
       200:{1,2,4,7}:{(179,1),(182,1),(218,1),(219,1),(239,1)}
       201:{1,2,5}:{(179,1),(183,1),(220,1),(244,1)}
       202:{1,3,6}:{(179,1),(184,1),(219,1),(220,1)}
       203:{1,3,6}:{(180,1),(181,1),(185,1),(221,1)}
       204:{2,5,7}:{(181,1),(182,1),(183,1),(221,1)}
       205:{2,3,7}:{(182,1),(184,1),(187,1),(219,1)}
       206:{2,3,5}:{(183,1),(184,1),(188,1),(220,1),(223,1)}
       207:{1,2,4,6}:{(185,1),(186,1),(189,1),(193,1),(221,1),(224,1),(226,1),(240,1)}
       208:{1,3,5,7}:{(186,1),(187,1),(188,1),(194,1),(222,1),(224,1),(225,1),(241,1)}
       209:{1,3,4}:{(188,1),(223,1)}
       210:{1,3,5,6}:{(189,1),(190,1),(191,1),(195,1),(224,1),(226,1),(227,1),(241,1)}
       211:{1,4,7}:{(190,1),(196,1),(226,1)}
       212:{1,4,6}:{(191,1),(192,1),(197,1),(227,1)}
       213:{3,6}:{(193,1),(194,1)}
       214:{3,4,7}:{(194,1),(196,1),(228,1)}
       215:{2,4,6}:{(195,1),(196,1),(198,1),(226,1),(228,1),(229,1)}
       216:{2,5}:{(197,1),(199,1),(227,1)}
       217:{1,4,5}:{(198,1),(199,1),(229,1),(244,1)}
       218:{1,2,5,7}:{(200,1),(201,1),(204,1),(230,1),(231,1)}
       219:{1,3,7}:{(200,1),(202,1),(205,1)}
       220:{1,3,5}:{(201,1),(202,1),(206,1),(232,1)}
       221:{2,6}:{(203,1),(204,1)}
       222:{2,3,5,7}:{(204,1),(205,1),(206,1),(208,1),(231,1),(233,1),(234,1),(243,1)}
       223:{2,4}:{(206,1),(209,1),(232,1)}
       224:{1,3,6}:{(207,1),(208,1),(213,1),(233,1)}
       225:{1,3,4,7}:{(208,1),(209,1),(211,1),(214,1),(234,1),(235,1)}
       226:{1,4,6}:{(210,1),(211,1),(215,1),(236,1)}
       227:{1,5}:{(212,1),(216,1)}
       228:{3,4,6}:{(213,1),(214,1),(215,1),(237,1)}
       229:{2,4,5}:{(215,1),(216,1),(217,1),(236,1),(237,1),(243,1)}
       230:{1,2,6}:{(218,1),(221,1),(238,1)}
       231:{1,3,5,7}:{(218,1),(219,1),(220,1),(222,1),(238,1),(239,1),(244,1)}
       232:{1,4}:{(220,1),(223,1)}
       233:{2,3,6}:{(221,1),(222,1),(224,1),(238,1),(240,1)}
       234:{2,4,7}:{(222,1),(223,1),(225,1),(239,1),(240,1)}
       235:{1,3,4,6}:{(224,1),(225,1),(226,1),(228,1),(240,1),(241,1)}
       236:{1,4,5}:{(226,1),(227,1),(229,1),(241,1)}
       237:{3,5}:{(228,1),(229,1)}
       238:{1,3,6}:{(230,1),(231,1),(233,1),(242,1)}
       239:{1,4,7}:{(231,1),(232,1),(234,1),(242,1)}
       240:{2,4,6}:{(233,1),(234,1),(235,1),(242,1),(243,1)}
       241:{1,3,5}:{(235,1),(236,1),(237,1),(243,1)}
       242:{1,4,6}:{(238,1),(239,1),(240,1),(244,1)}
       243:{2,5}:{(240,1),(241,1),(244,1)}
       244:{1,5}:{(242,1),(243,1)}

2588 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(23,1),(55,1),(116,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(34,1),(72,1),(107,1),(108,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(33,1),(105,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(49,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(21,1),(92,1),(94,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(51,1),(55,1),(90,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(32,1),(43,1),(64,1),(80,1),(100,1),(104,1),(107,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(67,1),(102,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(36,1),(72,1),(74,1),(77,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(75,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(59,1),(82,1),(95,1),(111,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(21,1),(22,1),(50,1),(89,1),(92,1)}
        13:{2,3,4,6}:{(7,1),(20,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(88,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(58,1),(91,1)}
        17:{2,4,5,6,7}:{(10,1),(27,1),(28,1),(90,1),(93,1)}
        18:{1,2,3,5,6}:{(19,1),(29,1),(30,1),(59,1),(95,1),(97,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(33,1),(67,1),(102,1),(104,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(32,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(12,1),(15,1),(36,1),(37,1),(70,1),(74,1),(80,1),(100,1)}
        23:{2,3,4,5}:{(13,1),(34,1),(67,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1),(36,1),(102,1)}
        26:{2,5,6,7}:{(15,1),(16,1),(104,1)}
        27:{1,4,5,6,7}:{(16,1),(17,1),(41,1),(74,1),(107,1)}
        28:{3,4,5,6,7}:{(17,1),(106,1),(108,1)}
        29:{1,2,4,6}:{(18,1),(32,1),(42,1),(43,1),(44,1)}
        30:{1,2,3,5,7}:{(18,1),(33,1),(44,1),(45,1),(78,1),(81,1)}
        31:{1,2,3,5,6}:{(19,1),(46,1),(47,1),(82,1),(111,1),(113,1)}
        32:{2,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        33:{2,3,5,7}:{(19,1),(21,1),(50,1),(51,1),(89,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(49,1),(59,1),(82,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(50,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(25,1),(51,1),(95,1),(111,1)}
        37:{1,2,5,6,7}:{(22,1),(26,1),(54,1),(89,1),(97,1),(113,1)}
        38:{2,3,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(56,1),(86,1),(115,1)}
        39:{2,3,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(57,1),(58,1),(114,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(57,1),(58,1),(116,1)}
        42:{1,3,4,6}:{(29,1),(48,1),(59,1),(60,1),(95,1)}
        43:{1,2,4,5}:{(29,1),(49,1),(59,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(60,1)}
        45:{1,2,3,6,7}:{(30,1),(51,1),(62,1),(95,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(64,1),(65,1)}
        47:{1,2,3,5,7}:{(31,1),(33,1),(65,1),(66,1),(98,1),(101,1)}
        48:{2,3,4,6}:{(32,1),(42,1),(63,1),(67,1),(68,1),(102,1)}
        49:{2,4,5}:{(32,1),(34,1),(67,1)}
        50:{2,4,7}:{(32,1),(33,1),(35,1)}
        51:{2,3,6,7}:{(33,1),(36,1),(70,1),(102,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(73,1),(78,1),(98,1),(110,1),(120,1),(122,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(72,1),(73,1),(74,1),(106,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(71,1),(73,1),(74,1),(109,1),(119,1)}
        55:{2,3,4,6}:{(38,1),(72,1),(75,1),(102,1),(121,1)}
        56:{2,3,5,7}:{(39,1),(73,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(40,1),(74,1),(76,1),(77,1),(121,1)}
        58:{3,5,6,7}:{(41,1),(77,1),(123,1)}
        59:{1,3,5}:{(42,1),(43,1),(67,1)}
        60:{1,3,4,7}:{(42,1),(44,1),(68,1),(78,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(69,1),(78,1),(80,1),(81,1),(110,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(79,1),(80,1),(81,1)}
        63:{1,3,4,6}:{(46,1),(48,1),(82,1),(83,1),(111,1)}
        64:{1,2,4,5}:{(46,1),(49,1),(82,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(83,1)}
        66:{1,2,3,6,7}:{(47,1),(51,1),(85,1),(111,1)}
        67:{2,3,5}:{(48,1),(49,1),(59,1),(82,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(60,1),(83,1),(86,1)}
        69:{2,4,5,7}:{(49,1),(50,1),(52,1),(86,1),(88,1),(89,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(53,1),(88,1),(89,1)}
        71:{2,3,5,6,7}:{(51,1),(54,1),(89,1),(90,1),(114,1),(117,1)}
        72:{1,3,4,6}:{(52,1),(55,1),(88,1),(91,1),(95,1),(111,1),(118,1),(124,1),(125,1)}
        73:{1,3,5,7}:{(53,1),(56,1),(89,1),(91,1),(92,1),(117,1)}
        74:{1,4,6,7}:{(54,1),(57,1),(90,1),(92,1),(118,1),(124,1)}
        75:{2,3,5,6}:{(55,1),(56,1),(91,1),(93,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(94,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(94,1),(125,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(61,1),(86,1),(95,1)}
        79:{1,3,4,6,7}:{(60,1),(62,1),(87,1),(95,1),(96,1),(118,1)}
        80:{1,2,4,6}:{(61,1),(88,1),(95,1),(97,1),(118,1)}
        81:{1,2,5,7}:{(62,1),(89,1),(96,1),(97,1)}
        82:{1,3,5}:{(63,1),(64,1),(67,1)}
        83:{1,3,4,7}:{(63,1),(65,1),(68,1),(98,1)}
        84:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(98,1),(100,1),(101,1),(120,1)}
        85:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(99,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(69,1),(78,1),(98,1),(102,1)}
        87:{2,3,4,6,7}:{(68,1),(70,1),(79,1),(99,1),(102,1),(103,1),(106,1),(121,1)}
        88:{2,4,6}:{(69,1),(72,1),(102,1),(104,1)}
        89:{2,5,7}:{(70,1),(73,1),(104,1)}
        90:{2,4,6,7}:{(71,1),(74,1),(105,1),(106,1),(121,1)}
        91:{1,3,5,6}:{(72,1),(73,1),(75,1),(104,1),(107,1),(123,1)}
        92:{1,4,5,7}:{(73,1),(74,1),(76,1),(105,1),(107,1)}
        93:{2,4,5,6}:{(75,1),(76,1),(107,1),(108,1),(121,1)}
        94:{3,4,5,7}:{(76,1),(77,1),(108,1)}
        95:{1,3,6}:{(78,1),(80,1),(102,1)}
        96:{1,3,5,7}:{(79,1),(81,1),(103,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(104,1),(109,1)}
        98:{1,3,5,7}:{(82,1),(83,1),(84,1),(86,1),(111,1)}
        99:{1,3,4,6,7}:{(83,1),(85,1),(87,1),(111,1),(112,1),(124,1)}
       100:{1,2,4,6}:{(84,1),(88,1),(111,1),(113,1),(124,1)}
       101:{1,2,5,7}:{(85,1),(89,1),(112,1),(113,1)}
       102:{2,3,6}:{(86,1),(88,1),(95,1),(111,1)}
       103:{2,3,5,7}:{(87,1),(89,1),(96,1),(112,1),(114,1),(115,1),(117,1)}
       104:{2,5,6}:{(88,1),(89,1),(91,1)}
       105:{2,4,5,7}:{(89,1),(90,1),(92,1),(116,1),(117,1)}
       106:{3,4,6,7}:{(90,1),(117,1),(125,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(93,1),(116,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,3,5,6}:{(95,1),(96,1),(97,1),(114,1),(118,1)}
       110:{1,4,5,7}:{(96,1),(115,1),(118,1)}
       111:{1,3,6}:{(98,1),(100,1),(102,1)}
       112:{1,3,5,7}:{(99,1),(101,1),(103,1),(119,1),(120,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(104,1),(119,1)}
       114:{2,3,5,6}:{(102,1),(103,1),(104,1),(109,1),(119,1),(121,1),(123,1)}
       115:{2,4,5,7}:{(103,1),(110,1),(120,1),(121,1),(122,1)}
       116:{2,4,5,6}:{(104,1),(105,1),(107,1),(121,1),(123,1)}
       117:{3,5,7}:{(105,1),(106,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(121,1)}
       119:{1,3,5,6}:{(111,1),(112,1),(113,1),(114,1),(124,1)}
       120:{1,4,5,7}:{(112,1),(115,1),(124,1)}
       121:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       122:{3,4,5,7}:{(115,1),(117,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(121,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2589 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2590 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2591 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2592 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2593 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2594 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(138,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(156,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(43,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(114,1),(153,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(138,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(168,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(131,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(153,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(75,1),(105,1),(113,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(111,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(58,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(94,1),(134,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(113,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(43,1),(44,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(44,1)}
        33:{2,3,5,6}:{(24,1),(43,1),(46,1),(80,1),(105,1),(118,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(44,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(111,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(134,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(60,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{1,2,3,5,6}:{(33,1),(56,1),(57,1),(94,1),(124,1),(132,1),(134,1)}
        43:{2,3,5,7}:{(31,1),(33,1),(49,1),(58,1),(85,1)}
        44:{1,3,4,7}:{(31,1),(32,1),(34,1),(58,1)}
        45:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(59,1),(60,1),(130,1),(158,1)}
        46:{2,4,6}:{(33,1),(34,1),(58,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(94,1)}
        48:{2,3,4,5,6}:{(35,1),(60,1),(63,1),(64,1),(132,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(43,1),(66,1),(118,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(44,1),(66,1),(67,1),(69,1),(78,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(43,1),(65,1),(73,1),(103,1),(112,1),(152,1)}
        57:{1,2,4,6}:{(42,1),(46,1),(73,1),(74,1),(75,1),(151,1)}
        58:{2,4,7}:{(43,1),(44,1),(46,1)}
        59:{1,3,4,5,7}:{(44,1),(45,1),(47,1),(67,1),(77,1),(78,1),(107,1),(112,1),(142,1)}
        60:{2,3,4,6}:{(45,1),(68,1),(78,1),(150,1),(172,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(76,1),(80,1),(118,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(78,1),(81,1),(82,1),(115,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(79,1),(82,1),(152,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(134,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(58,1),(85,1),(97,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(60,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(58,1),(92,1),(167,1)}
        74:{1,3,4,6}:{(57,1),(61,1),(91,1),(92,1),(94,1),(134,1)}
        75:{1,2,4,5}:{(57,1),(62,1),(94,1),(131,1)}
        76:{2,3,4,7}:{(58,1),(61,1),(92,1),(96,1)}
        77:{2,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(96,1),(97,1)}
        78:{1,3,4,6}:{(59,1),(60,1),(86,1),(97,1),(128,1),(134,1),(160,1)}
        79:{2,3,4,6,7}:{(60,1),(64,1),(87,1),(98,1),(166,1),(182,1)}
        80:{2,3,5}:{(61,1),(62,1),(94,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(97,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(98,1),(101,1),(137,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(113,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(76,1),(102,1),(104,1),(118,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(78,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(79,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{2,3,4,6}:{(74,1),(110,1),(111,1),(150,1),(151,1)}
        92:{1,3,4,7}:{(73,1),(74,1),(76,1),(110,1),(112,1)}
        93:{1,2,4,5,7}:{(73,1),(75,1),(77,1),(103,1),(112,1),(113,1),(142,1),(149,1)}
        94:{1,3,5}:{(74,1),(75,1),(80,1),(111,1)}
        95:{1,2,4,5,6}:{(75,1),(81,1),(113,1),(115,1),(116,1),(151,1),(174,1),(177,1)}
        96:{2,3,5,7}:{(76,1),(77,1),(80,1),(112,1),(118,1)}
        97:{2,4,6}:{(77,1),(78,1),(105,1),(118,1)}
        98:{1,3,4,6,7}:{(78,1),(79,1),(82,1),(106,1),(119,1),(148,1),(154,1),(175,1)}
        99:{2,3,4,5}:{(80,1),(114,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(115,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(119,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(92,1),(122,1),(123,1),(134,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(97,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(98,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(92,1),(130,1),(167,1)}
       111:{2,3,5}:{(91,1),(94,1),(131,1)}
       112:{1,3,5,7}:{(92,1),(93,1),(94,1),(96,1),(130,1),(134,1)}
       113:{1,2,4,6}:{(93,1),(97,1),(124,1),(134,1),(160,1),(165,1)}
       114:{1,3,4,5}:{(94,1),(99,1),(131,1),(136,1)}
       115:{1,3,5,6}:{(94,1),(95,1),(100,1),(132,1),(134,1),(136,1),(137,1)}
       116:{1,2,4,5,7}:{(95,1),(101,1),(135,1),(137,1),(167,1),(183,1),(184,1)}
       117:{2,3,4,5,7}:{(96,1),(99,1),(125,1),(133,1),(138,1),(140,1),(170,1)}
       118:{2,3,6}:{(96,1),(97,1),(134,1)}
       119:{2,4,6,7}:{(97,1),(98,1),(101,1),(127,1),(139,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(136,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(137,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(113,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(118,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(119,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(112,1),(149,1),(150,1)}
       131:{2,4,5}:{(111,1),(114,1),(151,1)}
       132:{2,3,5,6}:{(111,1),(115,1),(150,1),(151,1),(152,1),(177,1)}
       133:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(149,1),(153,1),(155,1),(171,1),(179,1)}
       134:{1,3,6}:{(112,1),(113,1),(118,1),(150,1)}
       135:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(154,1),(175,1),(178,1)}
       136:{1,3,4,6}:{(114,1),(115,1),(120,1),(151,1),(155,1)}
       137:{1,3,5,7}:{(115,1),(116,1),(121,1),(152,1),(154,1),(155,1)}
       138:{2,3,4,6}:{(117,1),(118,1),(145,1),(153,1),(156,1)}
       139:{2,3,6,7}:{(118,1),(119,1),(121,1),(154,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(155,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(134,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(135,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(139,1),(161,1),(163,1),(170,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(133,1),(165,1),(167,1),(184,1)}
       150:{2,3,6}:{(130,1),(134,1),(165,1)}
       151:{2,4,6}:{(131,1),(132,1),(136,1),(167,1)}
       152:{2,3,5,7}:{(132,1),(137,1),(166,1),(167,1),(184,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(138,1),(160,1),(165,1),(168,1),(180,1)}
       154:{1,3,6,7}:{(134,1),(135,1),(137,1),(139,1),(166,1)}
       155:{1,3,4,7}:{(136,1),(137,1),(140,1),(167,1)}
       156:{2,3,5,6}:{(138,1),(162,1),(168,1),(170,1)}
       157:{2,3,4,6,7}:{(138,1),(139,1),(140,1),(163,1),(169,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(154,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(156,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(153,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(154,1),(178,1)}
       167:{2,4,7}:{(151,1),(152,1),(155,1)}
       168:{1,3,5,6}:{(153,1),(156,1),(174,1),(177,1),(179,1),(185,1)}
       169:{1,3,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       170:{2,3,5,7}:{(156,1),(157,1),(176,1),(179,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(168,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(170,1),(183,1)}
       177:{2,5,6}:{(165,1),(168,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(167,1),(169,1),(184,1)}
       179:{1,3,5,7}:{(168,1),(169,1),(170,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2595 :   0:{2,3,4,6,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(52,1),(56,1),(95,1),(96,1),(98,1),(101,1),(126,1),(160,1)}
         1:{2,3,5,6,7}:{(5,1),(6,1),(7,1),(31,1),(70,1),(71,1)}
         2:{1,3,4,6,7}:{(0,1),(8,1),(9,1),(11,1),(27,1),(35,1),(42,1),(65,1),(72,1),(74,1),(76,1),(80,1),(106,1),(118,1),(119,1),(122,1),(143,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(31,1),(70,1),(116,1),(121,1),(142,1)}
         4:{1,2,4,6,7}:{(8,1),(11,1),(12,1),(41,1),(42,1),(72,1),(115,1),(143,1),(144,1),(145,1),(149,1)}
         5:{1,3,5,6,7}:{(1,1),(15,1),(16,1),(18,1),(50,1),(51,1),(92,1),(93,1)}
         6:{2,4,6,7}:{(1,1),(14,1),(16,1),(17,1),(19,1)}
         7:{2,3,5,6}:{(3,1),(18,1),(19,1),(48,1),(89,1),(96,1)}
         8:{2,4,6,7}:{(2,1),(20,1),(21,1),(54,1),(56,1),(101,1),(126,1),(137,1),(138,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(18,1),(21,1),(22,1),(57,1),(92,1),(100,1),(125,1),(139,1),(155,1)}
        10:{2,4,5,7}:{(3,1),(19,1),(22,1),(23,1),(56,1),(94,1)}
        11:{1,3,6,7}:{(4,1),(20,1),(25,1),(60,1),(127,1),(157,1),(160,1)}
        12:{1,2,5,7}:{(4,1),(21,1),(24,1),(25,1),(92,1),(134,1),(155,1)}
        13:{1,2,4,6,7}:{(8,1),(27,1),(28,1),(64,1),(65,1),(72,1),(115,1),(122,1),(123,1),(124,1),(149,1)}
        14:{2,4,5,7}:{(6,1),(29,1),(30,1),(31,1),(70,1),(149,1)}
        15:{2,5,6,7}:{(5,1),(32,1),(34,1),(70,1),(115,1)}
        16:{1,4,6,7}:{(5,1),(6,1),(30,1),(32,1),(35,1)}
        17:{3,4,6,7}:{(6,1),(31,1),(36,1)}
        18:{1,3,5,6}:{(7,1),(9,1),(34,1),(35,1),(74,1),(112,1),(118,1)}
        19:{2,4,6}:{(7,1),(10,1),(35,1),(36,1)}
        20:{2,3,6,7}:{(8,1),(11,1),(27,1),(37,1),(74,1),(81,1),(107,1),(115,1),(152,1)}
        21:{2,5,7}:{(8,1),(9,1),(34,1),(121,1),(142,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(35,1),(38,1),(42,1),(65,1),(79,1),(105,1)}
        23:{3,4,5,7}:{(10,1),(31,1),(36,1),(76,1),(116,1)}
        24:{1,2,5,6}:{(12,1),(34,1),(40,1),(41,1),(112,1),(121,1),(144,1),(148,1),(164,1)}
        25:{1,3,5,7}:{(11,1),(12,1),(37,1),(40,1),(42,1)}
        26:{1,2,4,5,7}:{(12,1),(38,1),(41,1),(42,1),(43,1),(78,1),(79,1),(82,1),(120,1),(121,1),(145,1),(149,1),(164,1),(166,1),(173,1)}
        27:{1,3,6,7}:{(13,1),(20,1),(45,1),(85,1),(102,1),(141,1),(160,1)}
        28:{1,2,5,7}:{(13,1),(21,1),(44,1),(45,1),(92,1),(134,1),(139,1)}
        29:{2,4,5,6}:{(14,1),(19,1),(47,1),(48,1),(89,1),(94,1),(159,1)}
        30:{1,4,5,7}:{(14,1),(16,1),(47,1),(49,1),(50,1),(92,1),(133,1)}
        31:{3,5,7}:{(14,1),(17,1),(48,1),(160,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(49,1),(51,1),(54,1)}
        33:{1,3,4,6,7}:{(16,1),(17,1),(50,1),(51,1),(52,1),(55,1),(90,1),(93,1),(133,1),(160,1)}
        34:{2,5,6}:{(18,1),(21,1),(54,1),(137,1)}
        35:{1,4,6}:{(18,1),(19,1),(22,1),(54,1)}
        36:{3,4,6}:{(19,1),(23,1),(48,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(25,1),(45,1),(53,1),(56,1),(57,1),(134,1),(160,1)}
        38:{2,4,5,7}:{(21,1),(22,1),(54,1),(56,1),(57,1),(94,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(50,1),(55,1),(57,1),(58,1),(61,1),(86,1),(90,1),(99,1),(100,1),(125,1),(130,1),(133,1),(158,1),(160,1),(171,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(53,1),(59,1),(60,1),(100,1),(127,1),(155,1),(170,1)}
        41:{1,2,4,6}:{(24,1),(26,1),(54,1),(59,1),(60,1),(97,1),(101,1),(137,1),(159,1)}
        42:{1,4,7}:{(25,1),(56,1),(59,1)}
        43:{1,3,5,7}:{(26,1),(57,1),(60,1),(61,1),(62,1),(100,1),(157,1),(160,1),(170,1),(171,1)}
        44:{1,2,5,6}:{(28,1),(34,1),(63,1),(64,1),(112,1),(123,1),(142,1),(148,1),(153,1)}
        45:{1,3,5,7}:{(27,1),(28,1),(37,1),(63,1),(65,1)}
        46:{1,2,4,5,7}:{(28,1),(38,1),(64,1),(65,1),(66,1),(78,1),(105,1),(108,1),(120,1),(124,1),(142,1),(149,1),(153,1),(166,1),(169,1)}
        47:{1,4,5,6}:{(29,1),(30,1),(35,1),(67,1),(68,1),(79,1),(105,1),(112,1),(147,1)}
        48:{3,5,6}:{(29,1),(31,1),(36,1),(116,1),(167,1)}
        49:{2,4,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(113,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(33,1),(68,1),(69,1),(70,1)}
        51:{3,6,7}:{(32,1),(69,1),(74,1)}
        52:{2,4,6,7}:{(33,1),(70,1),(71,1),(72,1),(75,1),(113,1),(115,1),(149,1)}
        53:{2,3,5,6}:{(34,1),(37,1),(40,1),(63,1),(73,1),(74,1),(81,1),(107,1),(116,1),(121,1),(142,1),(148,1),(167,1),(168,1)}
        54:{2,4,6}:{(34,1),(35,1),(38,1),(74,1)}
        55:{1,3,4,6}:{(35,1),(36,1),(39,1),(68,1),(74,1),(75,1),(110,1),(118,1),(147,1),(167,1)}
        56:{2,4,7}:{(37,1),(42,1),(65,1),(73,1),(76,1)}
        57:{3,5,7}:{(38,1),(74,1),(76,1),(116,1)}
        58:{2,4,5,7}:{(39,1),(70,1),(75,1),(77,1),(78,1),(82,1),(108,1),(113,1),(120,1),(121,1),(142,1),(146,1),(149,1),(166,1)}
        59:{1,4,6}:{(40,1),(42,1),(73,1),(79,1),(173,1)}
        60:{1,3,6}:{(41,1),(43,1),(74,1),(81,1),(167,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(76,1),(80,1),(82,1),(173,1),(174,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(82,1),(83,1),(120,1),(121,1),(152,1),(168,1)}
        63:{1,3,5,6}:{(44,1),(45,1),(53,1),(84,1),(85,1),(102,1),(125,1),(139,1),(163,1)}
        64:{1,2,4,6}:{(44,1),(46,1),(54,1),(84,1),(85,1),(97,1),(126,1),(137,1),(159,1)}
        65:{1,4,7}:{(45,1),(56,1),(84,1)}
        66:{1,3,5,7}:{(46,1),(57,1),(85,1),(86,1),(87,1),(125,1),(141,1),(160,1),(163,1),(171,1)}
        67:{2,4,5,6}:{(47,1),(49,1),(54,1),(88,1),(89,1),(94,1),(131,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(50,1),(55,1),(88,1),(89,1),(100,1),(125,1)}
        69:{3,5,7}:{(49,1),(51,1),(88,1),(90,1)}
        70:{2,5,7}:{(50,1),(52,1),(89,1),(92,1)}
        71:{2,3,6,7}:{(51,1),(52,1),(91,1),(93,1),(96,1),(160,1)}
        72:{1,4,6,7}:{(52,1),(92,1),(93,1),(97,1),(133,1)}
        73:{2,4,6}:{(53,1),(56,1),(59,1),(84,1),(94,1),(95,1),(172,1)}
        74:{3,6}:{(54,1),(57,1)}
        75:{2,4,6}:{(55,1),(58,1),(89,1),(96,1),(97,1),(137,1)}
        76:{3,4,7}:{(56,1),(57,1),(95,1),(160,1)}
        77:{2,3,5,7}:{(57,1),(58,1),(96,1),(98,1),(99,1),(135,1),(160,1),(171,1)}
        78:{1,4,5,7}:{(58,1),(92,1),(97,1),(99,1),(103,1),(128,1),(133,1),(139,1),(155,1),(158,1)}
        79:{1,4,5}:{(59,1),(94,1),(100,1),(155,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(61,1),(95,1),(100,1),(101,1)}
        81:{2,3,6}:{(60,1),(62,1),(101,1),(102,1),(137,1)}
        82:{2,4,7}:{(61,1),(62,1),(101,1),(103,1),(172,1)}
        83:{1,3,5,7}:{(62,1),(102,1),(103,1),(104,1),(139,1),(141,1),(163,1)}
        84:{1,4,6}:{(63,1),(65,1),(73,1),(105,1),(169,1)}
        85:{1,3,6}:{(64,1),(66,1),(74,1),(107,1),(167,1)}
        86:{1,3,4,7}:{(65,1),(66,1),(76,1),(106,1),(108,1),(169,1),(174,1)}
        87:{2,3,5,7}:{(66,1),(107,1),(108,1),(109,1),(120,1),(142,1),(152,1),(168,1)}
        88:{3,5,6}:{(67,1),(69,1),(74,1),(110,1),(116,1)}
        89:{2,5,6}:{(68,1),(70,1),(75,1),(112,1),(121,1),(142,1)}
        90:{3,4,7}:{(69,1),(110,1),(113,1)}
        91:{2,3,5,7}:{(69,1),(70,1),(71,1),(111,1),(113,1),(114,1)}
        92:{1,5,7}:{(70,1),(72,1),(112,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(114,1),(115,1),(118,1)}
        94:{2,4,5}:{(73,1),(79,1),(105,1),(116,1),(121,1),(142,1)}
        95:{3,4,6}:{(73,1),(74,1),(76,1),(116,1),(167,1),(174,1)}
        96:{2,3,6}:{(74,1),(75,1),(77,1),(118,1),(167,1)}
        97:{1,4,6}:{(75,1),(78,1),(112,1),(118,1)}
        98:{2,3,4,7}:{(76,1),(77,1),(82,1),(108,1),(113,1),(117,1),(119,1),(152,1),(174,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(118,1),(119,1),(120,1),(150,1)}
       100:{1,3,5}:{(79,1),(80,1),(116,1),(121,1)}
       101:{2,4,6}:{(80,1),(81,1),(82,1),(121,1),(122,1)}
       102:{1,3,6}:{(81,1),(83,1),(122,1),(123,1)}
       103:{1,4,7}:{(82,1),(83,1),(122,1),(169,1)}
       104:{1,2,5,7}:{(83,1),(120,1),(123,1),(124,1),(153,1)}
       105:{1,4,5}:{(84,1),(94,1),(125,1),(139,1)}
       106:{1,3,4,6}:{(84,1),(85,1),(86,1),(95,1),(125,1),(126,1)}
       107:{2,3,6}:{(85,1),(87,1),(126,1),(127,1),(137,1)}
       108:{2,4,7}:{(86,1),(87,1),(126,1),(128,1),(172,1)}
       109:{1,3,5,7}:{(87,1),(127,1),(128,1),(129,1),(155,1),(157,1),(170,1)}
       110:{3,4,6}:{(88,1),(90,1),(130,1),(131,1)}
       111:{2,3,5,6}:{(88,1),(89,1),(91,1),(96,1),(131,1),(132,1),(135,1)}
       112:{1,5,6}:{(89,1),(92,1),(97,1),(139,1),(155,1)}
       113:{2,4,7}:{(90,1),(91,1),(131,1),(133,1)}
       114:{1,3,5,7}:{(91,1),(92,1),(93,1),(132,1),(133,1),(134,1),(160,1)}
       115:{2,6,7}:{(93,1),(134,1),(137,1)}
       116:{3,5}:{(94,1),(95,1)}
       117:{2,3,4,6}:{(95,1),(96,1),(98,1),(101,1),(126,1),(131,1),(135,1),(136,1),(162,1),(172,1)}
       118:{1,3,6}:{(96,1),(97,1),(99,1),(137,1)}
       119:{1,3,4,7}:{(98,1),(99,1),(103,1),(128,1),(133,1),(136,1),(138,1),(141,1),(157,1),(160,1)}
       120:{2,5,7}:{(99,1),(137,1),(138,1),(161,1)}
       121:{2,5}:{(100,1),(101,1),(139,1)}
       122:{1,4,6}:{(101,1),(102,1),(103,1),(139,1)}
       123:{1,2,6}:{(102,1),(104,1),(137,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(138,1),(140,1),(141,1)}
       125:{1,3,5}:{(105,1),(106,1),(116,1),(142,1)}
       126:{2,4,6}:{(106,1),(107,1),(108,1),(142,1),(143,1)}
       127:{1,3,6}:{(107,1),(109,1),(143,1),(144,1)}
       128:{1,4,7}:{(108,1),(109,1),(143,1),(173,1)}
       129:{1,2,5,7}:{(109,1),(120,1),(144,1),(145,1),(164,1)}
       130:{3,4,5}:{(110,1),(116,1),(146,1),(174,1)}
       131:{2,4,6}:{(110,1),(111,1),(113,1),(146,1),(147,1)}
       132:{1,3,5,6}:{(111,1),(112,1),(114,1),(118,1),(147,1),(148,1),(150,1),(167,1)}
       133:{1,4,7}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,5,7}:{(114,1),(115,1),(148,1),(149,1)}
       135:{2,3,5}:{(116,1),(117,1),(121,1),(142,1),(146,1),(150,1)}
       136:{1,3,4,6}:{(117,1),(118,1),(119,1),(122,1),(143,1),(147,1),(150,1),(151,1),(154,1),(165,1),(167,1),(169,1),(173,1),(174,1)}
       137:{2,6}:{(118,1),(120,1)}
       138:{2,4,7}:{(119,1),(120,1),(151,1),(152,1)}
       139:{1,5}:{(121,1),(122,1)}
       140:{1,2,4,6}:{(122,1),(123,1),(124,1),(151,1),(153,1),(154,1),(169,1)}
       141:{1,3,7}:{(124,1),(152,1),(154,1)}
       142:{2,5}:{(125,1),(126,1),(155,1)}
       143:{1,4,6}:{(126,1),(127,1),(128,1),(155,1)}
       144:{1,2,6}:{(127,1),(129,1),(137,1)}
       145:{1,2,4,7}:{(128,1),(129,1),(138,1),(156,1),(157,1)}
       146:{2,4,5}:{(130,1),(131,1),(135,1),(158,1),(172,1)}
       147:{1,4,6}:{(131,1),(132,1),(133,1),(158,1),(159,1)}
       148:{2,5,6}:{(132,1),(134,1),(137,1),(159,1),(161,1)}
       149:{2,4,7}:{(133,1),(134,1),(159,1),(160,1)}
       150:{1,3,5}:{(135,1),(136,1),(139,1),(155,1),(158,1),(161,1),(171,1)}
       151:{2,4,6}:{(136,1),(137,1),(138,1),(161,1),(162,1),(172,1)}
       152:{2,3,7}:{(138,1),(141,1),(157,1),(160,1),(162,1)}
       153:{1,2,5}:{(139,1),(140,1),(161,1),(163,1)}
       154:{1,3,6}:{(140,1),(141,1),(162,1),(163,1)}
       155:{1,5}:{(142,1),(143,1)}
       156:{1,2,4,6}:{(143,1),(144,1),(145,1),(151,1),(164,1),(165,1),(173,1)}
       157:{1,3,7}:{(145,1),(152,1),(165,1)}
       158:{1,4,5}:{(146,1),(147,1),(150,1),(166,1),(169,1),(173,1)}
       159:{2,4,6}:{(147,1),(148,1),(149,1),(166,1),(167,1)}
       160:{3,7}:{(149,1),(167,1)}
       161:{2,5}:{(150,1),(151,1)}
       162:{2,3,6}:{(151,1),(152,1),(154,1),(165,1),(167,1),(168,1)}
       163:{1,3,5}:{(153,1),(154,1),(168,1),(169,1)}
       164:{1,2,5}:{(155,1),(156,1),(161,1),(170,1)}
       165:{1,3,6}:{(156,1),(157,1),(162,1),(170,1)}
       166:{2,4,5}:{(158,1),(159,1),(161,1),(171,1),(172,1)}
       167:{3,6}:{(159,1),(160,1),(171,1)}
       168:{2,3,5}:{(161,1),(162,1),(163,1),(170,1),(171,1),(172,1)}
       169:{1,4}:{(163,1),(172,1)}
       170:{1,3,5}:{(164,1),(165,1),(168,1),(173,1)}
       171:{3,5}:{(166,1),(167,1),(174,1)}
       172:{2,4}:{(168,1),(169,1),(173,1),(174,1)}
       173:{1,4}:{(170,1),(172,1)}
       174:{3,4}:{(171,1),(172,1)}

2596 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2597 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2598 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(119,1),(123,1),(124,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(135,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(124,1),(125,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(42,1),(124,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(99,1),(100,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(106,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(86,1),(87,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(42,1),(93,1),(99,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(31,1),(34,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(34,1),(35,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(54,1),(80,1),(86,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(26,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,3,4,5,6}:{(25,1),(44,1),(45,1),(71,1),(139,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(26,1),(42,1),(46,1)}
        35:{1,4,5,6}:{(25,1),(27,1),(46,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(34,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(36,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(34,1),(53,1),(56,1),(84,1),(129,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(56,1),(57,1),(59,1),(83,1),(144,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(36,1),(54,1)}
        47:{1,2,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(59,1),(61,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(59,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(80,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(46,1)}
        55:{1,2,5,6,7}:{(43,1),(48,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(66,1),(70,1),(72,1),(97,1),(138,1)}
        57:{2,4,5,6}:{(45,1),(70,1),(71,1)}
        58:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(67,1),(70,1),(72,1),(74,1)}
        59:{1,3,5,6}:{(47,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(72,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(94,1),(102,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(60,1),(80,1),(81,1),(89,1),(104,1),(108,1)}
        69:{1,2,4,5,6}:{(57,1),(82,1),(83,1),(111,1),(144,1),(145,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(79,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(59,1),(83,1),(84,1),(85,1)}
        72:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(86,1)}
        73:{1,3,4,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(86,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(87,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(108,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(70,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(72,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(74,1),(94,1),(95,1),(102,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(92,1),(97,1),(124,1),(138,1),(140,1)}
        83:{1,3,5,6}:{(69,1),(71,1),(97,1),(98,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(72,1),(93,1),(97,1),(99,1)}
        85:{2,3,4,6}:{(71,1),(73,1),(98,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(74,1),(99,1)}
        87:{1,3,4,5}:{(73,1),(75,1),(100,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(102,1)}
        89:{1,2,3,5,6}:{(76,1),(102,1),(122,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(84,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(107,1),(108,1),(115,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,2,3,5,6}:{(83,1),(110,1),(111,1),(135,1),(145,1),(146,1)}
        97:{1,3,5,7}:{(82,1),(83,1),(84,1),(106,1),(112,1)}
        98:{1,3,4,6}:{(83,1),(85,1),(111,1),(112,1),(113,1)}
        99:{2,3,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       100:{2,3,4,5}:{(85,1),(87,1),(113,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(108,1),(114,1),(115,1)}
       102:{1,2,4,6}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(97,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(99,1),(117,1),(120,1),(121,1),(127,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(102,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(119,1),(124,1),(140,1)}
       111:{1,2,4,6}:{(96,1),(98,1),(124,1),(125,1)}
       112:{1,3,4,7}:{(97,1),(98,1),(99,1),(124,1)}
       113:{1,3,4,5}:{(98,1),(100,1),(125,1)}
       114:{2,3,4,5,7}:{(99,1),(100,1),(101,1),(121,1),(126,1),(127,1)}
       115:{1,3,4,6}:{(101,1),(102,1),(122,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(112,1),(128,1),(131,1),(132,1),(137,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(115,1),(133,1)}
       123:{1,2,3,4,6}:{(111,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,7}:{(110,1),(111,1),(112,1)}
       125:{1,2,4,5}:{(111,1),(113,1),(135,1)}
       126:{1,3,4,5,7}:{(112,1),(113,1),(114,1),(132,1),(136,1),(137,1)}
       127:{2,3,4,6}:{(114,1),(115,1),(133,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(127,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(124,1),(142,1)}
       135:{1,2,3,5}:{(123,1),(125,1)}
       136:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(127,1),(141,1),(143,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(137,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(146,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2599 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(126,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(137,1),(152,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(24,1),(28,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1),(44,1),(127,1),(147,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(40,1),(44,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(26,1),(60,1),(114,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(23,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(24,1),(27,1),(28,1),(45,1),(59,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(28,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(29,1),(58,1),(152,1)}
        19:{1,2,3,4,7}:{(11,1),(32,1),(33,1),(103,1)}
        20:{1,2,3,5}:{(11,1),(31,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(38,1),(39,1),(76,1),(101,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(37,1),(39,1)}
        24:{1,3,5,6}:{(14,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(16,1),(38,1),(41,1)}
        26:{1,3,4,7}:{(14,1),(17,1),(39,1),(40,1)}
        27:{1,2,4,5,7}:{(15,1),(17,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,5,6}:{(16,1),(41,1),(44,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(42,1),(44,1),(147,1),(153,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(59,1),(92,1)}
        31:{1,2,4,5}:{(20,1),(21,1),(48,1)}
        32:{1,2,3,4,6}:{(19,1),(49,1),(50,1),(86,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,6}:{(20,1),(48,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(47,1),(53,1),(54,1),(85,1),(90,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(48,1),(52,1),(54,1)}
        37:{2,3,5,6}:{(23,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,6}:{(22,1),(25,1),(53,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(55,1)}
        40:{1,3,5,7}:{(24,1),(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,6}:{(25,1),(28,1),(56,1),(59,1),(60,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(29,1),(57,1),(58,1),(60,1),(94,1),(139,1),(150,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(60,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,5,7}:{(31,1),(33,1),(35,1),(66,1),(67,1),(68,1),(100,1),(103,1)}
        48:{1,2,4,6}:{(31,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,2,3,5}:{(32,1),(68,1)}
        50:{1,2,3,6}:{(33,1),(66,1)}
        51:{1,2,3,7}:{(34,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,6}:{(35,1),(38,1),(66,1),(72,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(67,1),(71,1)}
        55:{2,3,5,7}:{(37,1),(39,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(74,1),(76,1),(107,1),(129,1),(143,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,4,5,6}:{(41,1),(75,1),(78,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(48,1),(52,1),(82,1)}
        66:{1,2,4,6}:{(47,1),(50,1),(53,1),(83,1)}
        67:{1,2,4,7}:{(48,1),(51,1),(54,1),(82,1)}
        68:{1,2,4,5}:{(49,1),(85,1),(86,1)}
        69:{1,2,3,5,6}:{(49,1),(50,1),(83,1),(86,1),(87,1),(112,1)}
        70:{1,2,3,6,7}:{(50,1),(51,1),(84,1),(87,1),(134,1)}
        71:{1,3,5,7}:{(52,1),(54,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,5,6}:{(53,1),(56,1),(83,1),(89,1),(90,1)}
        73:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(84,1),(88,1),(90,1),(116,1),(117,1),(134,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,4,5,6}:{(56,1),(59,1),(89,1),(92,1),(93,1)}
        76:{2,3,5,7}:{(56,1),(57,1),(60,1),(90,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(60,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(93,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(67,1),(71,1),(98,1)}
        83:{1,2,5,6}:{(66,1),(72,1),(100,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(73,1),(98,1),(100,1),(103,1)}
        85:{1,3,4,5}:{(68,1),(101,1),(102,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(102,1),(103,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(100,1),(103,1),(125,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,4,5,6}:{(72,1),(75,1),(106,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(76,1),(100,1),(106,1)}
        91:{2,3,5,6,7}:{(74,1),(76,1),(77,1),(96,1),(104,1),(107,1),(122,1),(142,1),(143,1)}
        92:{3,4,5,6}:{(75,1),(108,1)}
        93:{2,4,5,7}:{(75,1),(76,1),(78,1),(106,1),(107,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,4,5,6}:{(83,1),(86,1),(89,1),(112,1),(113,1),(118,1)}
       100:{1,2,5,7}:{(83,1),(84,1),(90,1)}
       101:{2,3,4,5}:{(85,1),(114,1),(115,1)}
       102:{1,3,4,6}:{(85,1),(86,1),(112,1),(115,1),(116,1)}
       103:{1,2,4,7}:{(86,1),(87,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(90,1),(91,1),(109,1),(111,1),(117,1),(134,1)}
       105:{1,3,4,5,6}:{(89,1),(92,1),(112,1),(118,1),(119,1)}
       106:{1,4,5,7}:{(89,1),(90,1),(93,1),(117,1)}
       107:{2,4,6,7}:{(91,1),(93,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(142,1)}
       111:{1,2,5,6,7}:{(98,1),(100,1),(104,1),(123,1),(142,1)}
       112:{1,3,5,6}:{(99,1),(102,1),(124,1),(125,1)}
       113:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(106,1),(123,1),(125,1),(132,1)}
       114:{1,3,4,5}:{(101,1),(127,1),(128,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(124,1),(128,1),(129,1)}
       116:{1,3,4,7}:{(102,1),(103,1),(125,1),(129,1)}
       117:{1,4,6,7}:{(104,1),(106,1),(107,1)}
       118:{2,4,5,6}:{(105,1),(124,1),(131,1),(132,1)}
       119:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(125,1),(130,1),(132,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(133,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(113,1),(117,1),(134,1),(140,1)}
       124:{2,3,5,6}:{(112,1),(115,1),(118,1),(135,1),(136,1)}
       125:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(136,1)}
       126:{1,2,3,4}:{(137,1)}
       127:{1,2,4,5}:{(114,1),(137,1),(138,1)}
       128:{1,3,4,6}:{(114,1),(115,1),(135,1),(138,1),(139,1)}
       129:{2,3,4,7}:{(115,1),(116,1),(136,1),(139,1)}
       130:{1,3,4,6,7}:{(117,1),(119,1),(120,1),(133,1),(134,1),(140,1)}
       131:{1,4,5,6}:{(118,1),(135,1),(141,1)}
       132:{2,4,5,7}:{(118,1),(119,1),(136,1),(140,1),(141,1)}
       133:{1,3,5,6,7}:{(121,1),(122,1),(130,1),(142,1)}
       134:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       135:{1,3,5,6}:{(124,1),(128,1),(131,1),(144,1),(145,1)}
       136:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(143,1),(145,1)}
       137:{1,2,3,5}:{(126,1),(127,1),(146,1)}
       138:{1,2,4,6}:{(127,1),(128,1),(144,1),(146,1),(147,1)}
       139:{1,3,4,7}:{(128,1),(129,1),(145,1),(147,1)}
       140:{2,4,6,7}:{(130,1),(132,1),(142,1),(143,1),(148,1)}
       141:{1,4,5,7}:{(131,1),(132,1),(145,1),(148,1)}
       142:{2,5,6,7}:{(133,1),(140,1),(149,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(140,1),(150,1)}
       144:{1,2,5,6}:{(135,1),(138,1),(151,1)}
       145:{1,3,5,7}:{(135,1),(136,1),(139,1),(141,1),(150,1),(151,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,4,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(140,1),(141,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(142,1),(148,1)}
       150:{1,3,6,7}:{(143,1),(145,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(144,1),(145,1),(147,1),(153,1)}
       152:{1,2,3,7}:{(146,1),(147,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2600 :   0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(98,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(119,1),(148,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(59,1),(68,1)}
         4:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(33,1),(36,1),(99,1),(138,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,6}:{(2,1),(10,1)}
         7:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         8:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(89,1),(129,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(21,1),(46,1),(52,1),(77,1),(121,1)}
        10:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(19,1),(22,1),(23,1),(48,1)}
        13:{1,2,3,6,7}:{(6,1),(20,1),(23,1),(86,1),(148,1)}
        14:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(26,1),(56,1),(59,1),(69,1),(112,1)}
        15:{1,2,3,5}:{(7,1),(26,1)}
        16:{1,2,3,6}:{(8,1),(25,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(34,1),(57,1),(61,1),(71,1),(101,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(30,1)}
        19:{1,2,5,6}:{(10,1),(30,1),(33,1)}
        20:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(33,1),(36,1),(138,1),(152,1)}
        21:{1,3,4,5}:{(11,1),(34,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(13,1),(33,1),(36,1),(67,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(40,1),(50,1),(73,1),(79,1),(91,1)}
        25:{1,2,4,6}:{(14,1),(16,1),(37,1),(38,1)}
        26:{1,2,4,5}:{(15,1),(40,1),(41,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(38,1),(41,1),(42,1),(75,1)}
        28:{1,2,3,6,7}:{(16,1),(39,1),(42,1),(116,1),(129,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(43,1)}
        30:{1,3,5,6}:{(18,1),(19,1),(43,1),(45,1),(46,1)}
        31:{1,3,4,6,7}:{(18,1),(20,1),(44,1),(46,1),(52,1),(83,1),(86,1),(121,1),(146,1)}
        32:{1,2,4,5,6}:{(19,1),(22,1),(45,1),(48,1),(49,1),(84,1)}
        33:{1,2,5,7}:{(19,1),(20,1),(46,1)}
        34:{2,3,4,5}:{(21,1),(50,1),(51,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(48,1),(51,1),(52,1)}
        36:{1,2,4,7}:{(22,1),(23,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(53,1)}
        38:{1,2,5,6}:{(25,1),(53,1),(56,1)}
        39:{1,2,4,6,7}:{(25,1),(28,1),(54,1),(56,1),(59,1),(112,1),(142,1)}
        40:{1,3,4,5}:{(26,1),(57,1),(58,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(58,1),(59,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(56,1),(59,1),(97,1)}
        43:{2,3,5,6}:{(29,1),(30,1),(53,1),(60,1),(61,1)}
        44:{2,3,4,6,7}:{(29,1),(31,1),(54,1),(61,1),(71,1),(101,1),(102,1),(108,1),(134,1)}
        45:{1,4,5,6}:{(30,1),(60,1),(64,1)}
        46:{1,3,5,7}:{(30,1),(31,1),(33,1),(61,1),(64,1)}
        47:{1,2,5,6,7}:{(33,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,3,5,6}:{(32,1),(35,1),(66,1),(67,1)}
        49:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(64,1),(65,1),(67,1),(107,1)}
        50:{1,3,4,5}:{(34,1),(69,1),(70,1)}
        51:{2,3,4,6}:{(34,1),(35,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,7}:{(35,1),(36,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(43,1),(72,1),(73,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(44,1),(73,1),(79,1),(91,1),(113,1),(116,1),(127,1)}
        55:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1),(114,1)}
        56:{1,2,5,7}:{(38,1),(39,1),(73,1)}
        57:{2,3,4,5}:{(40,1),(77,1),(78,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(75,1),(78,1),(79,1)}
        59:{1,2,4,7}:{(41,1),(42,1),(79,1)}
        60:{2,4,5,6}:{(43,1),(45,1),(72,1),(81,1),(82,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(46,1),(73,1),(82,1)}
        62:{1,3,5,6,7}:{(46,1),(47,1),(80,1),(83,1),(86,1),(146,1),(153,1)}
        63:{1,3,4,5,6}:{(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{1,4,5,7}:{(45,1),(46,1),(82,1),(83,1)}
        65:{1,2,4,6,7}:{(47,1),(49,1),(83,1),(86,1),(125,1)}
        66:{2,3,5,6}:{(48,1),(51,1),(84,1),(87,1),(88,1)}
        67:{1,3,5,7}:{(48,1),(49,1),(52,1),(86,1),(88,1)}
        68:{1,2,3,4}:{(89,1)}
        69:{1,2,4,5}:{(50,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(50,1),(51,1),(87,1),(90,1),(91,1)}
        71:{2,3,4,7}:{(51,1),(52,1),(88,1),(91,1)}
        72:{1,4,5,6}:{(53,1),(60,1),(94,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(56,1),(61,1),(94,1)}
        74:{1,2,5,6,7}:{(56,1),(92,1),(95,1),(142,1),(150,1)}
        75:{1,3,5,6}:{(55,1),(58,1),(96,1),(97,1)}
        76:{1,2,4,5,7}:{(55,1),(56,1),(59,1),(94,1),(95,1),(97,1),(133,1)}
        77:{1,3,4,5}:{(57,1),(99,1),(100,1)}
        78:{2,3,4,6}:{(57,1),(58,1),(96,1),(100,1),(101,1)}
        79:{1,3,4,7}:{(58,1),(59,1),(97,1),(101,1)}
        80:{2,3,5,6,7}:{(61,1),(62,1),(92,1),(102,1),(108,1),(134,1),(139,1),(140,1),(150,1)}
        81:{3,4,5,6}:{(60,1),(103,1)}
        82:{2,4,5,7}:{(60,1),(61,1),(64,1),(94,1),(102,1),(103,1)}
        83:{1,4,6,7}:{(62,1),(64,1),(102,1)}
        84:{2,4,5,6}:{(63,1),(66,1),(106,1),(107,1)}
        85:{1,3,4,5,7}:{(63,1),(64,1),(67,1),(103,1),(105,1),(107,1)}
        86:{1,3,6,7}:{(65,1),(67,1),(108,1)}
        87:{1,3,5,6}:{(66,1),(70,1),(106,1),(109,1),(110,1)}
        88:{2,3,5,7}:{(66,1),(67,1),(71,1),(107,1),(108,1),(110,1)}
        89:{1,2,3,5}:{(68,1),(69,1),(111,1)}
        90:{1,2,4,6}:{(69,1),(70,1),(109,1),(111,1),(112,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(110,1),(112,1)}
        92:{1,3,5,6,7}:{(73,1),(74,1),(80,1),(113,1),(116,1),(127,1),(149,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(114,1),(115,1)}
        94:{1,4,5,7}:{(72,1),(73,1),(82,1),(113,1)}
        95:{1,2,4,6,7}:{(74,1),(76,1),(113,1),(116,1),(144,1)}
        96:{2,3,5,6}:{(75,1),(78,1),(114,1),(117,1),(118,1)}
        97:{1,3,5,7}:{(75,1),(76,1),(79,1),(116,1),(118,1)}
        98:{1,2,3,4}:{(119,1)}
        99:{1,2,4,5}:{(77,1),(119,1),(120,1)}
       100:{1,3,4,6}:{(77,1),(78,1),(117,1),(120,1),(121,1)}
       101:{2,3,4,7}:{(78,1),(79,1),(118,1),(121,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(83,1),(113,1),(123,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(123,1)}
       104:{1,4,5,6,7}:{(83,1),(122,1),(124,1),(153,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(86,1),(123,1),(124,1),(125,1)}
       106:{1,4,5,6}:{(84,1),(87,1),(126,1)}
       107:{2,4,5,7}:{(84,1),(85,1),(88,1),(125,1),(126,1)}
       108:{2,3,6,7}:{(86,1),(88,1),(125,1),(127,1)}
       109:{1,2,5,6}:{(87,1),(90,1),(128,1)}
       110:{1,3,5,7}:{(87,1),(88,1),(91,1),(126,1),(127,1),(128,1)}
       111:{1,2,3,6}:{(89,1),(90,1),(129,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(92,1),(94,1),(102,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(132,1),(133,1)}
       115:{1,3,4,5,7}:{(93,1),(94,1),(97,1),(103,1),(131,1),(133,1)}
       116:{1,3,6,7}:{(95,1),(97,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(100,1),(132,1),(135,1),(136,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(101,1),(133,1),(134,1),(136,1)}
       119:{1,2,3,5}:{(98,1),(99,1),(137,1)}
       120:{1,2,4,6}:{(99,1),(100,1),(135,1),(137,1),(138,1)}
       121:{1,3,4,7}:{(100,1),(101,1),(136,1),(138,1)}
       122:{2,4,5,6,7}:{(102,1),(104,1),(130,1),(139,1),(140,1),(150,1)}
       123:{3,4,6,7}:{(102,1),(103,1),(139,1)}
       124:{1,3,5,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       125:{2,4,6,7}:{(105,1),(107,1),(108,1),(140,1),(141,1)}
       126:{1,4,5,7}:{(106,1),(107,1),(110,1),(141,1)}
       127:{1,3,6,7}:{(108,1),(110,1),(141,1),(142,1)}
       128:{1,2,5,7}:{(109,1),(110,1),(112,1),(142,1)}
       129:{1,2,3,7}:{(111,1),(112,1)}
       130:{1,4,5,6,7}:{(113,1),(122,1),(143,1),(149,1)}
       131:{1,3,4,6,7}:{(113,1),(115,1),(116,1),(123,1),(143,1),(144,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,4,5,7}:{(114,1),(115,1),(118,1),(144,1),(145,1)}
       134:{2,3,6,7}:{(116,1),(118,1),(144,1),(146,1)}
       135:{1,2,5,6}:{(117,1),(120,1),(147,1)}
       136:{1,3,5,7}:{(117,1),(118,1),(121,1),(145,1),(146,1),(147,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,4,7}:{(120,1),(121,1),(147,1),(148,1)}
       139:{3,5,6,7}:{(122,1),(123,1)}
       140:{2,5,6,7}:{(124,1),(125,1),(149,1)}
       141:{1,4,6,7}:{(125,1),(126,1),(127,1),(149,1)}
       142:{1,2,6,7}:{(127,1),(128,1)}
       143:{1,3,5,6,7}:{(130,1),(131,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(131,1),(133,1),(134,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(132,1),(133,1),(136,1),(151,1)}
       146:{1,3,6,7}:{(134,1),(136,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(135,1),(136,1),(138,1),(152,1)}
       148:{1,2,3,7}:{(137,1),(138,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2601 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2602 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2603 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2604 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(22,1),(142,1)}
         3:{1,2,3,4}:{(7,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(10,1)}
         5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(33,1),(38,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1),(130,1),(149,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1)}
         8:{1,2,3,4,7}:{(3,1),(16,1),(17,1),(81,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(19,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(19,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(23,1),(55,1),(116,1),(140,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(24,1),(51,1),(55,1)}
        13:{1,2,3,6}:{(6,1),(23,1)}
        14:{1,2,4,5}:{(7,1),(25,1),(26,1)}
        15:{1,2,3,6}:{(7,1),(26,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,4,6}:{(8,1),(29,1),(30,1),(63,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(31,1)}
        19:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(32,1),(34,1),(35,1),(71,1),(100,1),(128,1)}
        21:{1,2,4,5,6}:{(10,1),(33,1),(36,1),(38,1),(65,1),(72,1)}
        22:{1,2,4,7}:{(10,1),(12,1),(34,1)}
        23:{1,2,4,6}:{(11,1),(13,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(37,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(39,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
        27:{1,2,4,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1),(46,1),(79,1),(81,1)}
        28:{1,2,3,7}:{(15,1),(42,1)}
        29:{1,2,3,6}:{(16,1),(43,1)}
        30:{1,2,3,5}:{(17,1),(46,1)}
        31:{2,3,4,6}:{(18,1),(19,1),(39,1),(47,1),(48,1)}
        32:{2,3,4,5,7}:{(18,1),(20,1),(40,1),(48,1),(49,1),(83,1),(86,1),(114,1)}
        33:{1,3,5,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,7}:{(19,1),(22,1),(48,1),(51,1)}
        35:{1,3,4,6}:{(20,1),(23,1),(49,1),(53,1)}
        36:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(52,1),(55,1),(140,1),(152,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,3,4,6}:{(25,1),(26,1),(31,1),(56,1),(57,1)}
        40:{1,3,4,5,7}:{(25,1),(27,1),(32,1),(57,1),(58,1),(64,1),(93,1),(98,1)}
        41:{1,2,5,6}:{(26,1),(56,1),(59,1)}
        42:{1,2,4,7}:{(26,1),(28,1),(57,1),(59,1)}
        43:{1,2,4,6}:{(27,1),(29,1),(58,1),(61,1)}
        44:{1,2,3,6,7}:{(28,1),(29,1),(60,1),(62,1),(125,1)}
        45:{1,2,3,5,6}:{(29,1),(30,1),(61,1),(62,1),(63,1),(97,1)}
        46:{1,2,4,5}:{(30,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,7}:{(31,1),(34,1),(57,1),(66,1)}
        49:{2,3,4,6}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(72,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(36,1),(66,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(67,1),(70,1),(71,1),(106,1),(128,1),(147,1)}
        53:{1,3,5,6}:{(35,1),(38,1),(68,1),(71,1),(72,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(71,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,7}:{(39,1),(42,1),(48,1),(75,1)}
        58:{1,3,4,6}:{(40,1),(43,1),(49,1),(77,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(75,1),(78,1)}
        60:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(76,1),(78,1),(79,1),(81,1)}
        61:{1,2,5,6}:{(43,1),(77,1),(79,1)}
        62:{1,2,3,5,7}:{(44,1),(45,1),(79,1),(81,1),(112,1)}
        63:{1,2,4,6}:{(45,1),(46,1),(81,1),(82,1)}
        64:{1,3,4,5}:{(46,1),(82,1),(83,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(76,1),(85,1),(86,1),(114,1),(118,1),(137,1)}
        68:{2,3,5,6}:{(49,1),(53,1),(77,1),(86,1),(87,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(119,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(90,1)}
        72:{1,4,5,6}:{(53,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(117,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(57,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(67,1),(92,1),(93,1),(98,1),(122,1),(125,1)}
        77:{1,3,5,6}:{(58,1),(61,1),(68,1),(93,1),(94,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,5,7}:{(60,1),(61,1),(93,1)}
        80:{1,2,4,5,6}:{(61,1),(63,1),(94,1),(96,1),(97,1),(124,1)}
        81:{1,2,4,7}:{(62,1),(63,1),(98,1)}
        82:{1,3,4,6}:{(63,1),(64,1),(97,1),(98,1),(99,1)}
        83:{2,3,4,5}:{(64,1),(99,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(71,1),(93,1),(103,1)}
        87:{2,4,5,6}:{(68,1),(72,1),(94,1),(103,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(132,1)}
        89:{1,3,5,6,7}:{(70,1),(71,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,3,5,7}:{(76,1),(77,1),(79,1),(86,1),(109,1)}
        94:{1,4,5,6}:{(77,1),(87,1),(109,1)}
        95:{1,2,5,6,7}:{(78,1),(79,1),(108,1),(111,1),(150,1)}
        96:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(109,1),(111,1),(112,1),(135,1)}
        97:{1,3,5,6}:{(80,1),(82,1),(112,1),(113,1)}
        98:{1,3,4,7}:{(81,1),(82,1),(112,1),(114,1)}
        99:{2,3,4,6}:{(82,1),(83,1),(113,1),(114,1),(115,1)}
       100:{1,3,4,5}:{(83,1),(115,1),(116,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(117,1)}
       102:{2,3,5,6,7}:{(85,1),(86,1),(89,1),(108,1),(117,1),(118,1),(137,1),(143,1),(150,1)}
       103:{2,4,5,7}:{(86,1),(87,1),(90,1),(109,1),(118,1),(119,1)}
       104:{3,4,5,6}:{(87,1),(119,1)}
       105:{1,3,5,6,7}:{(88,1),(117,1),(120,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(118,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(121,1)}
       108:{1,3,5,6,7}:{(92,1),(93,1),(95,1),(102,1),(121,1),(122,1),(125,1)}
       109:{1,4,5,7}:{(93,1),(94,1),(103,1),(122,1)}
       110:{1,3,4,5,6}:{(94,1),(97,1),(104,1),(123,1),(124,1)}
       111:{1,2,4,6,7}:{(95,1),(96,1),(122,1),(125,1),(145,1)}
       112:{1,3,5,7}:{(96,1),(97,1),(98,1),(125,1),(126,1)}
       113:{2,3,5,6}:{(97,1),(99,1),(124,1),(126,1),(127,1)}
       114:{2,3,4,7}:{(98,1),(99,1),(126,1),(128,1)}
       115:{1,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       116:{1,2,4,5}:{(100,1),(129,1),(130,1)}
       117:{2,5,6,7}:{(101,1),(105,1),(121,1)}
       118:{2,4,6,7}:{(102,1),(103,1),(106,1),(122,1),(132,1)}
       119:{3,4,5,7}:{(103,1),(104,1),(132,1)}
       120:{1,4,5,6,7}:{(105,1),(106,1),(131,1),(153,1)}
       121:{1,5,6,7}:{(107,1),(117,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(118,1)}
       123:{1,3,4,5,7}:{(109,1),(110,1),(112,1),(119,1),(134,1),(135,1)}
       124:{2,4,5,6}:{(110,1),(113,1),(135,1),(136,1)}
       125:{1,3,6,7}:{(111,1),(112,1),(137,1)}
       126:{2,3,5,7}:{(112,1),(113,1),(114,1),(135,1),(137,1),(138,1)}
       127:{1,3,5,6}:{(113,1),(115,1),(136,1),(138,1),(139,1)}
       128:{1,3,4,7}:{(114,1),(115,1),(138,1),(140,1)}
       129:{1,2,4,6}:{(115,1),(116,1),(139,1),(140,1),(141,1)}
       130:{1,2,3,5}:{(116,1),(141,1),(142,1)}
       131:{2,4,5,6,7}:{(117,1),(118,1),(120,1),(133,1),(143,1),(150,1)}
       132:{3,4,6,7}:{(118,1),(119,1),(143,1)}
       133:{1,4,5,6,7}:{(121,1),(122,1),(131,1),(144,1)}
       134:{1,3,4,6,7}:{(122,1),(123,1),(125,1),(132,1),(144,1),(145,1)}
       135:{2,4,5,7}:{(123,1),(124,1),(126,1),(145,1),(146,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,3,6,7}:{(125,1),(126,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(126,1),(127,1),(128,1),(146,1),(147,1),(148,1)}
       139:{1,2,5,6}:{(127,1),(129,1),(148,1)}
       140:{1,2,4,7}:{(128,1),(129,1),(148,1),(149,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,3,4}:{(130,1)}
       143:{3,5,6,7}:{(131,1),(132,1)}
       144:{1,3,5,6,7}:{(133,1),(134,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(134,1),(135,1),(137,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(135,1),(136,1),(138,1),(151,1)}
       147:{1,3,6,7}:{(137,1),(138,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,2,3,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2605 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2606 :   0:{1,2,3,5,7}:{(2,1),(3,1),(22,1),(24,1),(196,1),(201,1),(290,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(32,1),(37,1),(87,1),(165,1),(170,1),(172,1),(179,1),(241,1),(267,1)}
         2:{1,2,3,6}:{(0,1),(10,1),(42,1),(331,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(248,1)}
         4:{1,2,3,5,7}:{(12,1),(13,1),(50,1),(52,1),(136,1),(141,1),(230,1)}
         5:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(22,1),(50,1),(61,1),(68,1),(113,1),(126,1),(144,1),(204,1),(217,1),(219,1),(227,1),(287,1),(312,1)}
         6:{2,3,4,6}:{(1,1),(16,1),(17,1),(57,1),(127,1),(213,1),(228,1),(288,1)}
         7:{1,2,3,6,7}:{(2,1),(19,1),(20,1),(70,1),(139,1),(196,1),(232,1),(283,1),(363,1),(398,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(21,1),(22,1),(144,1),(293,1)}
         9:{1,2,3,5,6}:{(2,1),(19,1),(23,1),(24,1),(67,1),(69,1),(72,1),(139,1),(147,1),(201,1),(283,1),(297,1),(357,1),(364,1),(396,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(21,1),(24,1)}
        11:{1,2,4,5,7}:{(3,1),(15,1),(22,1),(24,1),(25,1),(68,1),(74,1),(144,1),(287,1),(290,1),(294,1),(365,1)}
        12:{1,2,3,6}:{(4,1),(29,1),(79,1),(277,1)}
        13:{1,2,4,7}:{(4,1),(27,1),(29,1),(186,1)}
        14:{2,3,4,7}:{(8,1),(27,1),(31,1),(32,1),(172,1),(264,1)}
        15:{2,4,5,7}:{(5,1),(32,1),(33,1),(87,1),(91,1),(172,1),(265,1),(349,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(33,1),(34,1),(42,1),(79,1),(102,1),(156,1),(171,1),(275,1),(329,1)}
        17:{2,3,5,6}:{(6,1),(34,1),(36,1),(37,1),(257,1),(271,1),(325,1)}
        18:{2,3,4,6,7}:{(6,1),(35,1),(37,1),(86,1),(89,1),(172,1),(261,1),(262,1),(267,1),(276,1),(330,1)}
        19:{1,2,3,5,7}:{(7,1),(9,1),(39,1),(40,1),(98,1),(103,1),(192,1),(336,1),(385,1),(407,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(38,1),(39,1),(40,1),(99,1),(244,1),(276,1),(324,1),(331,1)}
        21:{1,3,4,6}:{(8,1),(10,1),(31,1),(41,1),(42,1),(102,1)}
        22:{1,3,5,7}:{(8,1),(11,1),(32,1),(41,1),(42,1),(333,1),(385,1)}
        23:{1,2,4,6}:{(9,1),(39,1),(43,1),(44,1),(102,1),(188,1),(248,1),(406,1)}
        24:{1,2,5}:{(10,1),(41,1)}
        25:{1,2,4,6}:{(11,1),(33,1),(42,1),(45,1),(102,1),(329,1),(331,1)}
        26:{1,2,3,6,7}:{(12,1),(47,1),(48,1),(115,1),(136,1),(199,1),(223,1),(292,1),(321,1),(379,1)}
        27:{1,3,4,7}:{(13,1),(14,1),(49,1),(50,1),(204,1),(233,1)}
        28:{1,2,3,5,6}:{(12,1),(47,1),(51,1),(52,1),(112,1),(114,1),(117,1),(141,1),(199,1),(207,1),(223,1),(237,1),(315,1),(322,1),(377,1)}
        29:{1,2,4,6}:{(12,1),(13,1),(49,1),(52,1)}
        30:{1,2,4,5,7}:{(13,1),(15,1),(50,1),(52,1),(53,1),(113,1),(119,1),(204,1),(227,1),(230,1),(234,1),(323,1)}
        31:{2,3,4,6}:{(14,1),(21,1),(49,1),(56,1),(57,1),(127,1)}
        32:{2,3,5,7}:{(14,1),(15,1),(22,1),(50,1),(56,1),(57,1),(310,1),(375,1)}
        33:{2,4,6}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,5,6}:{(16,1),(17,1),(58,1),(60,1),(61,1),(129,1),(316,1),(358,1)}
        35:{1,3,4,6,7}:{(16,1),(18,1),(59,1),(61,1),(70,1),(115,1),(124,1),(144,1),(204,1),(215,1),(219,1),(309,1),(312,1),(320,1),(362,1)}
        36:{2,4,5,6}:{(17,1),(60,1),(62,1),(63,1),(127,1)}
        37:{2,3,5,7}:{(17,1),(18,1),(61,1),(63,1),(304,1),(317,1),(359,1)}
        38:{1,3,4,6,7}:{(20,1),(21,1),(54,1),(64,1),(65,1),(70,1),(134,1),(139,1),(144,1),(197,1),(291,1),(356,1),(362,1),(398,1),(411,1)}
        39:{1,2,4,7}:{(19,1),(23,1),(65,1),(144,1),(236,1),(411,1)}
        40:{1,2,5,7}:{(20,1),(24,1),(64,1),(67,1),(317,1),(357,1)}
        41:{1,3,5}:{(21,1),(24,1),(56,1),(68,1)}
        42:{1,3,6}:{(22,1),(25,1),(57,1)}
        43:{1,3,4,6}:{(23,1),(65,1),(71,1),(72,1),(139,1),(293,1),(364,1)}
        44:{1,2,4,5}:{(23,1),(24,1),(68,1),(72,1),(142,1),(357,1),(395,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(58,1),(69,1),(74,1),(358,1)}
        46:{1,2,4,6,7}:{(25,1),(59,1),(70,1),(74,1),(144,1),(362,1),(363,1),(365,1)}
        47:{1,2,3,5,7}:{(26,1),(28,1),(76,1),(77,1),(152,1),(157,1),(254,1),(282,1),(355,1),(394,1)}
        48:{1,2,4,6,7}:{(26,1),(29,1),(75,1),(76,1),(77,1),(153,1),(182,1),(270,1),(277,1),(330,1)}
        49:{1,3,4,6}:{(27,1),(29,1),(31,1),(78,1),(79,1),(156,1)}
        50:{1,3,5,7}:{(27,1),(30,1),(32,1),(78,1),(79,1),(279,1),(355,1)}
        51:{1,2,4,6}:{(28,1),(76,1),(80,1),(81,1),(156,1),(186,1),(250,1),(393,1)}
        52:{1,2,5}:{(29,1),(78,1)}
        53:{1,2,4,6}:{(30,1),(33,1),(79,1),(82,1),(156,1),(275,1),(277,1)}
        54:{2,3,4,6,7}:{(31,1),(38,1),(75,1),(84,1),(89,1),(97,1),(151,1),(166,1),(172,1),(184,1),(246,1),(261,1),(276,1),(330,1),(341,1),(392,1),(410,1)}
        55:{2,3,5,6,7}:{(37,1),(85,1),(86,1),(164,1),(256,1),(262,1)}
        56:{2,3,5}:{(31,1),(41,1),(78,1),(87,1)}
        57:{2,3,6}:{(32,1),(33,1),(42,1),(79,1)}
        58:{2,5,6}:{(33,1),(34,1),(91,1)}
        59:{2,4,6,7}:{(33,1),(35,1),(89,1),(91,1),(172,1),(347,1),(349,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(90,1),(93,1),(102,1),(156,1)}
        61:{1,3,5,7}:{(34,1),(35,1),(37,1),(91,1),(93,1),(174,1),(352,1),(382,1)}
        62:{3,4,5,6}:{(36,1),(94,1),(171,1),(257,1)}
        63:{2,4,5,7}:{(36,1),(37,1),(86,1),(93,1),(94,1),(172,1)}
        64:{1,3,5,7}:{(38,1),(40,1),(41,1),(84,1),(95,1),(96,1),(380,1),(382,1)}
        65:{1,3,4,7}:{(39,1),(43,1),(97,1),(98,1),(385,1)}
        66:{1,2,4,5,7}:{(39,1),(40,1),(44,1),(95,1),(98,1),(99,1),(179,1)}
        67:{1,2,5,6}:{(40,1),(96,1),(99,1),(271,1),(331,1)}
        68:{1,4,5}:{(41,1),(87,1),(102,1)}
        69:{1,3,5,6}:{(41,1),(42,1),(45,1),(88,1),(102,1),(103,1)}
        70:{1,3,6,7}:{(42,1),(46,1),(89,1),(103,1),(385,1)}
        71:{2,3,4,6}:{(43,1),(97,1),(105,1),(106,1),(184,1),(188,1),(264,1),(348,1)}
        72:{1,3,5}:{(43,1),(44,1),(106,1)}
        73:{1,2,4,5,6}:{(44,1),(45,1),(90,1),(99,1),(102,1),(107,1),(108,1),(175,1),(177,1),(188,1),(268,1),(271,1),(334,1),(381,1),(386,1),(406,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(91,1),(103,1),(382,1)}
        75:{1,3,4,6,7}:{(48,1),(49,1),(54,1),(109,1),(110,1),(115,1),(137,1),(194,1),(199,1),(204,1),(231,1),(314,1),(320,1),(379,1),(405,1)}
        76:{1,2,4,7}:{(47,1),(51,1),(110,1),(204,1),(296,1),(405,1)}
        77:{1,2,5,7}:{(48,1),(52,1),(109,1),(112,1),(315,1),(359,1)}
        78:{1,3,5}:{(49,1),(52,1),(56,1),(113,1)}
        79:{1,3,6}:{(50,1),(53,1),(57,1)}
        80:{1,3,4,6}:{(51,1),(110,1),(116,1),(117,1),(199,1),(233,1),(322,1)}
        81:{1,2,4,5}:{(51,1),(52,1),(113,1),(117,1),(202,1),(315,1),(376,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(58,1),(114,1),(119,1),(316,1)}
        83:{1,2,4,6,7}:{(53,1),(59,1),(115,1),(119,1),(204,1),(320,1),(321,1),(323,1)}
        84:{2,3,5,7}:{(54,1),(56,1),(64,1),(109,1),(121,1),(122,1),(304,1),(317,1),(359,1),(370,1)}
        85:{1,3,5,6,7}:{(55,1),(61,1),(123,1),(124,1),(215,1),(302,1),(309,1)}
        86:{2,4,6,7}:{(55,1),(63,1),(124,1),(125,1)}
        87:{2,4,5}:{(56,1),(68,1),(113,1),(126,1),(127,1)}
        88:{2,3,5,6}:{(56,1),(57,1),(58,1),(69,1),(114,1),(127,1),(128,1),(129,1)}
        89:{2,3,6,7}:{(57,1),(59,1),(70,1),(115,1),(128,1),(215,1),(375,1)}
        90:{2,4,5,6}:{(58,1),(60,1),(127,1),(129,1),(130,1)}
        91:{2,5,7}:{(58,1),(59,1),(61,1)}
        92:{1,3,4,5,6}:{(60,1),(62,1),(129,1),(131,1),(132,1),(143,1),(203,1),(220,1),(224,1),(284,1),(299,1),(366,1),(400,1)}
        93:{1,4,5,7}:{(60,1),(61,1),(63,1),(124,1),(130,1),(144,1),(204,1)}
        94:{3,4,5,7}:{(62,1),(63,1),(125,1),(219,1),(304,1)}
        95:{1,4,5,7}:{(64,1),(68,1),(121,1),(134,1),(144,1),(395,1),(411,1)}
        96:{1,3,5,6}:{(64,1),(67,1),(122,1),(134,1),(139,1),(291,1),(358,1)}
        97:{2,3,4,7}:{(65,1),(71,1),(137,1),(138,1),(236,1),(375,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(72,1),(138,1),(139,1)}
        99:{1,2,4,6}:{(66,1),(67,1),(134,1),(139,1),(228,1)}
       100:{1,2,5,6,7}:{(67,1),(74,1),(123,1),(135,1),(140,1),(302,1),(317,1),(363,1),(369,1),(397,1)}
       101:{1,3,4,5}:{(68,1),(72,1),(126,1),(142,1),(143,1),(395,1),(399,1)}
       102:{1,4,6}:{(68,1),(69,1),(127,1),(144,1)}
       103:{1,3,5,7}:{(69,1),(70,1),(74,1),(128,1),(144,1)}
       104:{1,2,3,6}:{(136,1),(141,1),(145,1),(322,1)}
       105:{1,3,4,6}:{(71,1),(137,1),(145,1),(146,1),(231,1),(233,1),(235,1),(322,1)}
       106:{2,3,5}:{(71,1),(72,1),(142,1),(146,1)}
       107:{1,3,5,6}:{(72,1),(73,1),(129,1),(139,1),(143,1),(147,1),(148,1),(364,1),(400,1)}
       108:{1,2,4,5,7}:{(73,1),(74,1),(130,1),(140,1),(144,1),(148,1),(222,1),(225,1),(236,1),(313,1),(317,1),(365,1),(397,1),(401,1),(411,1)}
       109:{1,3,5,7}:{(75,1),(77,1),(78,1),(84,1),(149,1),(150,1),(350,1),(352,1)}
       110:{1,3,4,7}:{(76,1),(80,1),(151,1),(152,1),(355,1)}
       111:{1,2,4,5,7}:{(76,1),(77,1),(81,1),(149,1),(152,1),(153,1),(241,1)}
       112:{1,2,5,6}:{(77,1),(150,1),(153,1),(277,1),(325,1)}
       113:{1,4,5}:{(78,1),(87,1),(156,1)}
       114:{1,3,5,6}:{(78,1),(79,1),(82,1),(88,1),(156,1),(157,1)}
       115:{1,3,6,7}:{(79,1),(83,1),(89,1),(157,1),(355,1)}
       116:{2,3,4,6}:{(80,1),(151,1),(159,1),(160,1),(246,1),(250,1),(264,1),(348,1)}
       117:{1,3,5}:{(80,1),(81,1),(160,1)}
       118:{1,2,4,5,6}:{(81,1),(82,1),(90,1),(153,1),(156,1),(161,1),(162,1),(175,1),(239,1),(250,1),(268,1),(280,1),(325,1),(351,1),(386,1),(393,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(91,1),(157,1),(352,1)}
       120:{2,4,5,6,7}:{(86,1),(163,1),(164,1),(256,1),(258,1),(388,1)}
       121:{2,4,5,7}:{(84,1),(87,1),(95,1),(149,1),(165,1),(166,1),(172,1),(389,1),(410,1)}
       122:{2,3,5,6}:{(84,1),(96,1),(150,1),(166,1),(184,1),(246,1),(257,1),(271,1),(325,1)}
       123:{2,5,6,7}:{(85,1),(91,1),(168,1),(347,1)}
       124:{1,4,6,7}:{(85,1),(86,1),(93,1),(168,1)}
       125:{3,4,6,7}:{(86,1),(94,1),(164,1)}
       126:{3,4,5}:{(87,1),(171,1)}
       127:{2,4,6}:{(87,1),(88,1),(102,1),(156,1),(171,1),(172,1)}
       128:{2,3,5,7}:{(88,1),(89,1),(91,1),(103,1),(157,1),(172,1),(174,1)}
       129:{3,5,6}:{(90,1),(171,1),(174,1)}
       130:{2,4,5,7}:{(90,1),(91,1),(93,1),(168,1),(172,1),(174,1)}
       131:{2,4,5,6}:{(92,1),(173,1),(175,1),(176,1),(188,1),(250,1),(268,1),(271,1),(325,1)}
       132:{1,3,4,5,7}:{(92,1),(93,1),(94,1),(169,1),(174,1),(176,1),(189,1),(251,1),(269,1),(272,1),(326,1),(338,1),(387,1),(409,1)}
       133:{1,3,4,5,7}:{(95,1),(98,1),(101,1),(165,1),(179,1),(180,1),(189,1),(272,1)}
       134:{1,4,6}:{(95,1),(96,1),(166,1)}
       135:{1,3,5,6,7}:{(96,1),(100,1),(103,1),(167,1),(181,1),(185,1),(272,1),(332,1),(382,1),(407,1)}
       136:{1,2,3,7}:{(104,1),(182,1),(355,1)}
       137:{1,3,4,7}:{(97,1),(105,1),(182,1),(183,1),(281,1),(355,1)}
       138:{2,3,5,7}:{(97,1),(98,1),(106,1),(179,1),(183,1),(184,1)}
       139:{1,3,6}:{(98,1),(99,1),(184,1)}
       140:{1,2,4,6,7}:{(99,1),(100,1),(108,1),(168,1),(181,1),(185,1),(263,1),(276,1),(347,1),(388,1)}
       141:{1,2,3,5}:{(104,1),(186,1),(190,1),(279,1)}
       142:{2,4,5}:{(101,1),(106,1),(187,1),(188,1)}
       143:{1,3,4,6}:{(101,1),(102,1),(107,1),(171,1),(188,1),(189,1),(406,1),(408,1)}
       144:{1,4,7}:{(102,1),(103,1),(172,1)}
       145:{1,2,4,6}:{(104,1),(105,1),(182,1),(186,1),(190,1),(277,1)}
       146:{1,3,5}:{(105,1),(106,1),(187,1),(190,1)}
       147:{2,3,5,6}:{(106,1),(107,1),(184,1),(188,1),(191,1),(192,1),(268,1),(271,1),(348,1)}
       148:{1,3,5,7}:{(107,1),(108,1),(174,1),(185,1),(189,1),(192,1),(385,1),(409,1)}
       149:{1,4,5,7}:{(109,1),(113,1),(121,1),(194,1),(204,1),(376,1),(405,1)}
       150:{1,3,5,6}:{(109,1),(112,1),(122,1),(194,1),(199,1),(231,1),(316,1)}
       151:{2,3,4,7}:{(110,1),(116,1),(197,1),(198,1),(296,1),(375,1)}
       152:{1,3,5,7}:{(110,1),(111,1),(117,1),(198,1),(199,1)}
       153:{1,2,4,6}:{(111,1),(112,1),(194,1),(199,1),(288,1)}
       154:{1,2,5,6,7}:{(112,1),(119,1),(123,1),(195,1),(200,1),(302,1),(321,1),(359,1),(369,1),(378,1)}
       155:{1,3,4,5}:{(113,1),(117,1),(126,1),(202,1),(203,1),(376,1),(399,1)}
       156:{1,4,6}:{(113,1),(114,1),(127,1),(204,1)}
       157:{1,3,5,7}:{(114,1),(115,1),(119,1),(128,1),(204,1)}
       158:{1,2,3,6}:{(196,1),(201,1),(205,1),(364,1)}
       159:{1,3,4,6}:{(116,1),(197,1),(205,1),(206,1),(291,1),(293,1),(295,1),(364,1)}
       160:{2,3,5}:{(116,1),(117,1),(202,1),(206,1)}
       161:{1,3,5,6}:{(117,1),(118,1),(129,1),(199,1),(203,1),(207,1),(208,1),(322,1),(400,1)}
       162:{1,2,4,5,7}:{(118,1),(119,1),(130,1),(200,1),(204,1),(208,1),(222,1),(285,1),(296,1),(313,1),(323,1),(359,1),(378,1),(401,1),(405,1)}
       163:{1,4,5,6,7}:{(120,1),(124,1),(209,1),(210,1),(225,1),(285,1),(302,1),(368,1)}
       164:{3,5,6,7}:{(120,1),(125,1),(304,1),(402,1)}
       165:{3,4,5,7}:{(121,1),(126,1),(213,1),(219,1),(304,1),(399,1),(412,1)}
       166:{2,4,6}:{(121,1),(122,1),(134,1),(194,1),(213,1)}
       167:{2,3,5,6,7}:{(122,1),(123,1),(128,1),(135,1),(195,1),(214,1),(215,1),(232,1),(292,1),(304,1),(317,1),(359,1),(369,1),(402,1),(404,1)}
       168:{2,4,6,7}:{(123,1),(124,1),(130,1),(215,1)}
       169:{1,3,4,6,7}:{(124,1),(125,1),(132,1),(210,1),(215,1),(216,1),(300,1),(309,1),(368,1),(402,1)}
       170:{2,3,4,5}:{(126,1),(142,1),(202,1),(217,1),(218,1),(310,1),(399,1)}
       171:{3,4,6}:{(126,1),(127,1),(129,1),(219,1)}
       172:{2,4,7}:{(127,1),(128,1),(144,1),(204,1),(219,1)}
       173:{2,3,5,6}:{(129,1),(131,1),(218,1),(220,1),(221,1),(400,1)}
       174:{3,5,7}:{(129,1),(130,1),(215,1),(219,1)}
       175:{1,4,5,6}:{(131,1),(220,1),(222,1),(235,1),(295,1),(316,1),(358,1)}
       176:{2,4,5,7}:{(131,1),(132,1),(216,1),(221,1),(222,1),(236,1),(296,1),(313,1),(317,1),(359,1)}
       177:{1,4,5,6}:{(134,1),(211,1),(224,1),(225,1),(358,1)}
       178:{1,2,3,5,7}:{(136,1),(141,1),(223,1),(226,1),(230,1),(315,1),(318,1)}
       179:{2,4,5,7}:{(133,1),(138,1),(142,1),(227,1),(228,1),(236,1),(317,1)}
       180:{1,3,4,6}:{(133,1),(134,1),(139,1),(213,1),(224,1),(228,1)}
       181:{1,4,6,7}:{(134,1),(135,1),(144,1),(214,1),(225,1),(411,1)}
       182:{1,2,4,7}:{(136,1),(137,1),(145,1),(230,1)}
       183:{1,3,5,7}:{(137,1),(138,1),(146,1),(227,1),(230,1),(231,1)}
       184:{2,3,6}:{(138,1),(139,1),(228,1),(231,1)}
       185:{1,3,6,7}:{(139,1),(140,1),(148,1),(215,1),(232,1),(402,1)}
       186:{1,2,4}:{(141,1),(233,1)}
       187:{1,4,5}:{(142,1),(146,1),(235,1)}
       188:{2,4,6}:{(142,1),(143,1),(147,1),(235,1),(236,1)}
       189:{1,3,4,7}:{(143,1),(144,1),(148,1),(219,1),(236,1),(411,1),(412,1)}
       190:{1,2,5}:{(145,1),(146,1)}
       191:{1,3,5,6}:{(146,1),(147,1),(231,1),(235,1),(237,1),(238,1),(316,1),(322,1)}
       192:{2,3,5,7}:{(147,1),(148,1),(232,1),(236,1),(238,1),(313,1),(317,1),(375,1)}
       193:{1,3,4,5,7}:{(149,1),(152,1),(155,1),(165,1),(241,1),(242,1),(251,1),(326,1)}
       194:{1,4,6}:{(149,1),(150,1),(166,1)}
       195:{1,3,5,6,7}:{(150,1),(154,1),(157,1),(167,1),(243,1),(247,1),(278,1),(326,1),(352,1),(394,1)}
       196:{1,2,3,7}:{(158,1),(244,1),(385,1)}
       197:{1,3,4,7}:{(151,1),(159,1),(244,1),(245,1),(335,1),(385,1)}
       198:{2,3,5,7}:{(151,1),(152,1),(160,1),(241,1),(245,1),(246,1)}
       199:{1,3,6}:{(152,1),(153,1),(246,1)}
       200:{1,2,4,6,7}:{(153,1),(154,1),(162,1),(168,1),(243,1),(247,1),(263,1),(330,1),(347,1),(388,1)}
       201:{1,2,3,5}:{(158,1),(248,1),(252,1),(333,1)}
       202:{2,4,5}:{(155,1),(160,1),(249,1),(250,1)}
       203:{1,3,4,6}:{(155,1),(156,1),(161,1),(171,1),(250,1),(251,1),(393,1),(408,1)}
       204:{1,4,7}:{(156,1),(157,1),(172,1)}
       205:{1,2,4,6}:{(158,1),(159,1),(244,1),(248,1),(252,1),(331,1)}
       206:{1,3,5}:{(159,1),(160,1),(249,1),(252,1)}
       207:{2,3,5,6}:{(160,1),(161,1),(246,1),(250,1),(253,1),(254,1),(268,1),(325,1),(348,1)}
       208:{1,3,5,7}:{(161,1),(162,1),(174,1),(247,1),(251,1),(254,1),(355,1),(409,1)}
       209:{2,4,5,6,7}:{(163,1),(168,1),(255,1),(256,1),(258,1),(339,1)}
       210:{1,3,5,6,7}:{(163,1),(164,1),(169,1),(255,1),(256,1),(272,1),(326,1)}
       211:{2,4,5,6}:{(166,1),(177,1),(239,1),(257,1),(258,1),(271,1),(325,1)}
       212:{2,3,4,5,7}:{(165,1),(170,1),(179,1),(241,1),(259,1),(260,1),(267,1),(343,1),(344,1),(389,1),(410,1)}
       213:{3,4,6}:{(165,1),(166,1),(257,1)}
       214:{2,4,6,7}:{(166,1),(167,1),(172,1),(181,1),(243,1),(258,1),(261,1),(410,1)}
       215:{3,6,7}:{(168,1),(174,1)}
       216:{2,4,6,7}:{(169,1),(176,1),(256,1),(262,1),(263,1),(347,1)}
       217:{1,3,4,5}:{(170,1),(187,1),(249,1),(265,1),(266,1),(279,1),(333,1)}
       218:{2,3,4,6}:{(170,1),(171,1),(173,1),(188,1),(250,1),(266,1),(267,1),(348,1),(408,1)}
       219:{3,4,7}:{(171,1),(172,1),(174,1)}
       220:{1,3,5,6}:{(173,1),(175,1),(266,1),(268,1),(269,1)}
       221:{2,3,5,7}:{(173,1),(174,1),(176,1),(262,1),(267,1),(269,1),(409,1)}
       222:{1,4,5,7}:{(175,1),(176,1),(263,1),(269,1),(281,1),(335,1),(352,1),(382,1)}
       223:{1,2,3,6}:{(178,1),(270,1),(277,1),(353,1)}
       224:{1,3,5,6}:{(177,1),(180,1),(257,1),(271,1),(272,1)}
       225:{1,4,5,7}:{(177,1),(181,1),(258,1),(272,1),(382,1)}
       226:{1,2,4,7}:{(178,1),(186,1),(270,1),(273,1)}
       227:{1,4,5,7}:{(179,1),(183,1),(187,1),(275,1),(281,1),(352,1)}
       228:{2,4,6}:{(179,1),(180,1),(184,1),(271,1),(275,1)}
       229:{1,3,4,6,7}:{(180,1),(181,1),(185,1),(189,1),(261,1),(272,1),(276,1)}
       230:{1,2,5,7}:{(182,1),(183,1),(190,1),(277,1)}
       231:{1,3,6}:{(183,1),(184,1),(275,1),(277,1)}
       232:{2,3,6,7}:{(184,1),(185,1),(192,1),(276,1),(278,1),(347,1)}
       233:{1,3,4}:{(186,1),(264,1),(279,1)}
       234:{1,2,4,5}:{(186,1),(187,1),(190,1),(265,1),(279,1),(280,1)}
       235:{1,4,6}:{(187,1),(188,1),(191,1),(281,1)}
       236:{2,4,7}:{(188,1),(189,1),(192,1),(281,1)}
       237:{1,2,5,6}:{(190,1),(191,1),(268,1),(277,1),(280,1),(282,1)}
       238:{1,3,5,7}:{(191,1),(192,1),(278,1),(281,1),(282,1),(352,1),(355,1)}
       239:{1,4,5,6}:{(194,1),(211,1),(284,1),(285,1),(316,1)}
       240:{1,2,3,5,7}:{(196,1),(201,1),(283,1),(286,1),(290,1),(357,1),(360,1)}
       241:{2,4,5,7}:{(193,1),(198,1),(202,1),(287,1),(288,1),(296,1),(359,1)}
       242:{1,3,4,6}:{(193,1),(194,1),(199,1),(213,1),(284,1),(288,1)}
       243:{1,4,6,7}:{(194,1),(195,1),(204,1),(214,1),(285,1),(405,1)}
       244:{1,2,4,7}:{(196,1),(197,1),(205,1),(290,1)}
       245:{1,3,5,7}:{(197,1),(198,1),(206,1),(287,1),(290,1),(291,1)}
       246:{2,3,6}:{(198,1),(199,1),(288,1),(291,1)}
       247:{1,3,6,7}:{(199,1),(200,1),(208,1),(215,1),(292,1),(402,1)}
       248:{1,2,4}:{(201,1),(293,1)}
       249:{1,4,5}:{(202,1),(206,1),(295,1)}
       250:{2,4,6}:{(202,1),(203,1),(207,1),(295,1),(296,1)}
       251:{1,3,4,7}:{(203,1),(204,1),(208,1),(219,1),(296,1),(405,1),(412,1)}
       252:{1,2,5}:{(205,1),(206,1)}
       253:{1,3,5,6}:{(206,1),(207,1),(291,1),(295,1),(297,1),(298,1),(358,1),(364,1)}
       254:{2,3,5,7}:{(207,1),(208,1),(292,1),(296,1),(298,1),(313,1),(359,1),(375,1)}
       255:{3,5,6,7}:{(209,1),(215,1),(300,1),(304,1)}
       256:{2,5,6,7}:{(210,1),(216,1),(302,1),(317,1),(359,1)}
       257:{3,5,6}:{(211,1),(213,1),(304,1)}
       258:{2,4,5,7}:{(211,1),(214,1),(225,1),(285,1),(304,1),(317,1),(359,1)}
       259:{1,3,4,5,7}:{(212,1),(217,1),(227,1),(287,1),(306,1),(307,1),(312,1),(318,1),(360,1),(372,1),(376,1),(395,1),(399,1),(405,1),(411,1),(412,1)}
       260:{2,3,4,6}:{(212,1),(213,1),(228,1),(288,1),(303,1),(307,1),(373,1),(403,1)}
       261:{3,4,6,7}:{(213,1),(214,1),(215,1),(219,1),(304,1),(402,1),(412,1)}
       262:{2,3,6,7}:{(215,1),(216,1),(221,1),(309,1),(402,1)}
       263:{1,4,6,7}:{(216,1),(222,1),(302,1),(309,1)}
       264:{2,3,4}:{(233,1),(293,1),(310,1)}
       265:{2,4,5}:{(217,1),(310,1),(311,1)}
       266:{1,3,4,6}:{(217,1),(218,1),(220,1),(235,1),(295,1),(311,1),(312,1),(322,1),(364,1)}
       267:{2,3,4,7}:{(218,1),(219,1),(221,1),(236,1),(296,1),(312,1),(375,1),(412,1)}
       268:{2,5,6}:{(220,1),(311,1),(313,1)}
       269:{1,3,5,7}:{(220,1),(221,1),(222,1),(309,1),(312,1),(313,1)}
       270:{1,2,4,6}:{(223,1),(226,1),(314,1),(315,1)}
       271:{2,5,6}:{(224,1),(228,1),(316,1),(317,1)}
       272:{1,3,5,7}:{(224,1),(225,1),(229,1),(304,1),(317,1)}
       273:{1,3,4,7}:{(226,1),(233,1),(305,1),(314,1),(318,1),(405,1)}
       274:{1,2,4,5,7}:{(226,1),(227,1),(230,1),(234,1),(306,1),(315,1),(318,1),(319,1),(323,1),(376,1),(378,1),(405,1)}
       275:{1,4,6}:{(227,1),(228,1),(231,1),(316,1)}
       276:{2,4,6,7}:{(228,1),(229,1),(232,1),(236,1),(317,1),(320,1)}
       277:{1,2,6}:{(230,1),(231,1)}
       278:{1,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(321,1)}
       279:{1,3,5}:{(233,1),(234,1),(310,1),(322,1)}
       280:{1,2,4,6}:{(234,1),(235,1),(237,1),(311,1),(322,1),(323,1)}
       281:{1,4,7}:{(235,1),(236,1),(238,1)}
       282:{1,2,5,7}:{(237,1),(238,1),(313,1),(321,1),(323,1)}
       283:{1,2,3,6}:{(240,1),(324,1),(331,1),(383,1)}
       284:{1,3,5,6}:{(239,1),(242,1),(257,1),(325,1),(326,1)}
       285:{1,4,5,7}:{(239,1),(243,1),(258,1),(326,1),(352,1)}
       286:{1,2,4,7}:{(240,1),(248,1),(324,1),(327,1)}
       287:{1,4,5,7}:{(241,1),(245,1),(249,1),(329,1),(335,1),(382,1)}
       288:{2,4,6}:{(241,1),(242,1),(246,1),(325,1),(329,1)}
       289:{1,3,4,6,7}:{(242,1),(243,1),(247,1),(251,1),(261,1),(326,1),(330,1)}
       290:{1,2,5,7}:{(244,1),(245,1),(252,1),(331,1)}
       291:{1,3,6}:{(245,1),(246,1),(329,1),(331,1)}
       292:{2,3,6,7}:{(246,1),(247,1),(254,1),(330,1),(332,1),(347,1)}
       293:{1,3,4}:{(248,1),(264,1),(333,1)}
       294:{1,2,4,5}:{(248,1),(249,1),(252,1),(265,1),(333,1),(334,1)}
       295:{1,4,6}:{(249,1),(250,1),(253,1),(335,1)}
       296:{2,4,7}:{(250,1),(251,1),(254,1),(335,1)}
       297:{1,2,5,6}:{(252,1),(253,1),(268,1),(331,1),(334,1),(336,1)}
       298:{1,3,5,7}:{(253,1),(254,1),(332,1),(335,1),(336,1),(382,1),(385,1)}
       299:{3,4,5,6}:{(257,1),(337,1),(338,1),(408,1)}
       300:{3,4,6,7}:{(255,1),(338,1),(339,1)}
       301:{2,3,5,6,7}:{(255,1),(256,1),(262,1),(339,1),(340,1),(343,1)}
       302:{1,5,6,7}:{(256,1),(263,1),(352,1),(382,1)}
       303:{2,3,5,6}:{(257,1),(260,1),(271,1),(325,1),(337,1),(342,1),(343,1)}
       304:{3,5,7}:{(257,1),(258,1),(261,1)}
       305:{2,3,4,7}:{(264,1),(273,1),(327,1),(341,1),(344,1),(410,1)}
       306:{2,4,5,7}:{(259,1),(265,1),(344,1),(345,1),(349,1),(389,1),(391,1),(410,1)}
       307:{1,3,4,6}:{(259,1),(260,1),(275,1),(329,1),(342,1),(345,1),(353,1),(383,1),(393,1),(406,1),(408,1)}
       308:{2,3,4,6,7}:{(260,1),(261,1),(262,1),(267,1),(276,1),(330,1),(339,1),(343,1),(346,1),(392,1),(410,1)}
       309:{1,3,6,7}:{(262,1),(263,1),(269,1),(347,1)}
       310:{2,3,5}:{(264,1),(265,1),(279,1),(333,1),(348,1)}
       311:{2,4,6}:{(265,1),(266,1),(268,1),(348,1),(349,1)}
       312:{1,3,4,7}:{(266,1),(267,1),(269,1),(281,1),(335,1),(349,1),(355,1),(385,1)}
       313:{2,5,7}:{(268,1),(269,1),(347,1),(349,1)}
       314:{1,3,4,6}:{(270,1),(273,1),(341,1),(350,1),(353,1),(393,1)}
       315:{1,2,5}:{(270,1),(350,1)}
       316:{1,5,6}:{(271,1),(275,1),(352,1)}
       317:{2,5,7}:{(271,1),(272,1),(276,1),(352,1)}
       318:{1,3,5,7}:{(273,1),(274,1),(279,1),(344,1),(350,1),(353,1),(355,1)}
       319:{1,2,4,6}:{(274,1),(275,1),(277,1),(345,1),(351,1),(353,1),(393,1)}
       320:{1,4,6,7}:{(275,1),(276,1),(278,1),(281,1),(352,1)}
       321:{1,2,6,7}:{(277,1),(278,1),(282,1),(347,1)}
       322:{1,3,6}:{(279,1),(280,1),(348,1),(355,1)}
       323:{1,2,4,7}:{(280,1),(281,1),(282,1),(349,1),(355,1)}
       324:{1,2,4,6}:{(283,1),(286,1),(356,1),(357,1)}
       325:{2,5,6}:{(284,1),(288,1),(358,1),(359,1)}
       326:{1,3,5,7}:{(284,1),(285,1),(289,1),(304,1),(359,1)}
       327:{1,3,4,7}:{(286,1),(293,1),(305,1),(356,1),(360,1),(411,1)}
       328:{1,2,4,5,7}:{(286,1),(287,1),(290,1),(294,1),(306,1),(357,1),(360,1),(361,1),(365,1),(395,1),(397,1),(411,1)}
       329:{1,4,6}:{(287,1),(288,1),(291,1),(358,1)}
       330:{2,4,6,7}:{(288,1),(289,1),(292,1),(296,1),(359,1),(362,1)}
       331:{1,2,6}:{(290,1),(291,1)}
       332:{1,3,6,7}:{(291,1),(292,1),(298,1),(362,1),(363,1)}
       333:{1,3,5}:{(293,1),(294,1),(310,1),(364,1)}
       334:{1,2,4,6}:{(294,1),(295,1),(297,1),(311,1),(364,1),(365,1)}
       335:{1,4,7}:{(295,1),(296,1),(298,1)}
       336:{1,2,5,7}:{(297,1),(298,1),(313,1),(363,1),(365,1)}
       337:{2,4,5,6}:{(299,1),(303,1),(366,1),(367,1),(403,1)}
       338:{3,4,5,7}:{(299,1),(300,1),(304,1),(367,1),(412,1)}
       339:{2,4,6,7}:{(300,1),(301,1),(367,1),(368,1)}
       340:{1,3,5,6,7}:{(301,1),(302,1),(309,1),(368,1),(369,1),(372,1),(402,1)}
       341:{2,3,4,6}:{(305,1),(314,1),(356,1),(370,1),(373,1),(403,1)}
       342:{1,3,5,6}:{(303,1),(307,1),(316,1),(358,1),(366,1),(371,1),(372,1),(400,1)}
       343:{2,3,5,7}:{(303,1),(304,1),(308,1),(317,1),(359,1),(367,1),(372,1)}
       344:{2,3,5,7}:{(305,1),(306,1),(310,1),(318,1),(360,1),(370,1),(373,1),(375,1)}
       345:{2,4,6}:{(306,1),(307,1),(371,1),(373,1)}
       346:{1,3,4,6,7}:{(307,1),(308,1),(309,1),(312,1),(320,1),(362,1),(368,1),(372,1),(374,1),(379,1),(398,1),(402,1),(405,1),(411,1),(412,1)}
       347:{2,6,7}:{(309,1),(313,1)}
       348:{2,3,6}:{(310,1),(311,1),(322,1),(364,1),(375,1)}
       349:{2,4,7}:{(311,1),(312,1),(313,1),(375,1)}
       350:{1,3,5}:{(314,1),(315,1),(370,1),(376,1)}
       351:{1,2,5,6}:{(315,1),(316,1),(319,1),(371,1),(377,1),(378,1)}
       352:{1,5,7}:{(316,1),(317,1),(320,1)}
       353:{1,3,6}:{(318,1),(319,1),(373,1)}
       354:{1,2,4,6,7}:{(319,1),(320,1),(321,1),(323,1),(374,1),(378,1),(379,1),(405,1)}
       355:{1,3,7}:{(322,1),(323,1),(375,1)}
       356:{1,3,4,6}:{(324,1),(327,1),(341,1),(380,1),(383,1),(406,1)}
       357:{1,2,5}:{(324,1),(380,1)}
       358:{1,5,6}:{(325,1),(329,1),(382,1)}
       359:{2,5,7}:{(325,1),(326,1),(330,1),(382,1)}
       360:{1,3,5,7}:{(327,1),(328,1),(333,1),(344,1),(380,1),(383,1),(385,1)}
       361:{1,2,4,6}:{(328,1),(329,1),(331,1),(345,1),(381,1),(383,1),(406,1)}
       362:{1,4,6,7}:{(329,1),(330,1),(332,1),(335,1),(382,1)}
       363:{1,2,6,7}:{(331,1),(332,1),(336,1),(347,1)}
       364:{1,3,6}:{(333,1),(334,1),(348,1),(385,1)}
       365:{1,2,4,7}:{(334,1),(335,1),(336,1),(349,1),(385,1)}
       366:{1,4,5,6}:{(337,1),(342,1),(386,1),(387,1),(393,1),(406,1)}
       367:{2,4,5,7}:{(337,1),(338,1),(339,1),(343,1),(387,1),(410,1)}
       368:{1,4,6,7}:{(339,1),(340,1),(387,1),(388,1)}
       369:{2,5,6,7}:{(340,1),(347,1),(388,1),(391,1)}
       370:{2,3,5}:{(341,1),(350,1),(380,1),(389,1)}
       371:{2,5,6}:{(342,1),(345,1),(391,1)}
       372:{1,3,5,7}:{(342,1),(343,1),(346,1),(352,1),(382,1),(387,1),(391,1),(409,1)}
       373:{2,3,6}:{(344,1),(345,1),(353,1),(383,1)}
       374:{2,4,6,7}:{(345,1),(346,1),(347,1),(349,1),(391,1),(392,1),(410,1)}
       375:{2,3,7}:{(348,1),(349,1),(355,1),(385,1)}
       376:{1,4,5}:{(350,1),(389,1),(393,1)}
       377:{1,3,5,6}:{(350,1),(351,1),(353,1),(390,1),(393,1),(394,1)}
       378:{1,2,5,7}:{(351,1),(352,1),(354,1),(391,1),(394,1)}
       379:{1,3,6,7}:{(353,1),(354,1),(355,1),(392,1),(394,1)}
       380:{1,3,5}:{(356,1),(357,1),(370,1),(395,1)}
       381:{1,2,5,6}:{(357,1),(358,1),(361,1),(371,1),(396,1),(397,1)}
       382:{1,5,7}:{(358,1),(359,1),(362,1)}
       383:{1,3,6}:{(360,1),(361,1),(373,1)}
       384:{1,2,4,6,7}:{(361,1),(362,1),(363,1),(365,1),(374,1),(397,1),(398,1),(411,1)}
       385:{1,3,7}:{(364,1),(365,1),(375,1)}
       386:{2,4,5,6}:{(366,1),(371,1),(400,1),(401,1),(403,1)}
       387:{1,4,5,7}:{(366,1),(367,1),(368,1),(372,1),(401,1),(405,1),(411,1)}
       388:{2,4,6,7}:{(368,1),(369,1),(401,1),(402,1)}
       389:{2,4,5}:{(370,1),(376,1),(395,1),(399,1),(403,1)}
       390:{2,3,5,6}:{(370,1),(371,1),(373,1),(377,1),(396,1),(400,1),(403,1),(404,1)}
       391:{2,5,7}:{(371,1),(372,1),(374,1)}
       392:{2,3,6,7}:{(373,1),(374,1),(375,1),(379,1),(398,1),(402,1),(404,1)}
       393:{1,4,6}:{(376,1),(377,1),(403,1),(405,1)}
       394:{1,3,5,7}:{(377,1),(378,1),(379,1),(404,1),(405,1)}
       395:{1,4,5}:{(380,1),(389,1),(406,1)}
       396:{1,3,5,6}:{(380,1),(381,1),(383,1),(390,1),(406,1),(407,1)}
       397:{1,2,5,7}:{(381,1),(382,1),(384,1),(391,1),(407,1)}
       398:{1,3,6,7}:{(383,1),(384,1),(385,1),(392,1),(407,1)}
       399:{3,4,5}:{(389,1),(408,1)}
       400:{3,5,6}:{(386,1),(408,1),(409,1)}
       401:{2,4,5,7}:{(386,1),(387,1),(388,1),(391,1),(409,1),(410,1)}
       402:{3,6,7}:{(388,1),(409,1)}
       403:{2,4,6}:{(389,1),(390,1),(393,1),(406,1),(408,1),(410,1)}
       404:{2,3,5,7}:{(390,1),(391,1),(392,1),(394,1),(407,1),(409,1),(410,1)}
       405:{1,4,7}:{(393,1),(394,1),(410,1)}
       406:{1,4,6}:{(395,1),(396,1),(403,1),(411,1)}
       407:{1,3,5,7}:{(396,1),(397,1),(398,1),(404,1),(411,1)}
       408:{3,4,6}:{(399,1),(400,1),(403,1),(412,1)}
       409:{3,5,7}:{(400,1),(401,1),(402,1),(412,1)}
       410:{2,4,7}:{(403,1),(404,1),(405,1),(411,1),(412,1)}
       411:{1,4,7}:{(406,1),(407,1),(410,1)}
       412:{3,4,7}:{(408,1),(409,1),(410,1)}

2607 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(76,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(60,1),(87,1),(93,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(56,1),(99,1)}
         7:{1,2,3,7}:{(2,1),(19,1),(63,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(59,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(60,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(68,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(112,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(68,1),(83,1),(107,1),(112,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(79,1),(116,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(36,1),(37,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(38,1),(40,1),(81,1),(83,1)}
        21:{1,2,5}:{(8,1),(38,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(83,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(90,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(86,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(87,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(49,1),(50,1),(99,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(50,1),(125,1),(138,1)}
        30:{2,3,4,6}:{(15,1),(20,1),(43,1),(51,1),(53,1),(56,1),(97,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(49,1),(54,1),(55,1),(94,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(50,1),(52,1),(55,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(56,1)}
        34:{2,4,6}:{(16,1),(17,1),(54,1),(56,1),(57,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(55,1),(57,1),(63,1),(90,1),(103,1),(121,1),(125,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(51,1),(58,1),(63,1),(103,1)}
        37:{1,2,5,7}:{(19,1),(21,1),(58,1),(59,1)}
        38:{1,3,5}:{(20,1),(21,1),(53,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(54,1),(59,1),(61,1),(62,1)}
        40:{1,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        41:{1,2,4,7}:{(23,1),(57,1),(62,1),(63,1),(103,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(64,1),(65,1)}
        43:{1,3,4,6}:{(25,1),(26,1),(30,1),(64,1),(66,1),(68,1),(105,1),(107,1)}
        44:{1,2,5}:{(25,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(68,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(67,1),(68,1),(69,1),(107,1)}
        47:{4,5,6,7}:{(70,1),(139,1)}
        48:{3,4,6,7}:{(29,1),(70,1),(71,1)}
        49:{1,4,5,6}:{(28,1),(31,1),(72,1),(73,1),(83,1),(107,1),(117,1),(129,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(32,1),(71,1),(73,1),(116,1),(134,1)}
        51:{2,3,4,7}:{(30,1),(36,1),(64,1),(74,1),(79,1),(116,1)}
        52:{2,3,6,7}:{(32,1),(71,1),(75,1)}
        53:{2,3,5}:{(30,1),(38,1),(66,1),(76,1)}
        54:{2,5,6}:{(31,1),(34,1),(78,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(75,1),(78,1),(113,1)}
        56:{2,3,6}:{(33,1),(34,1),(40,1),(68,1),(79,1)}
        57:{2,4,7}:{(34,1),(35,1),(78,1),(79,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(80,1),(81,1)}
        59:{1,2,6}:{(37,1),(81,1)}
        60:{1,4,5}:{(38,1),(76,1),(83,1)}
        61:{1,3,5,6}:{(38,1),(39,1),(40,1),(77,1),(81,1),(83,1),(84,1),(117,1)}
        62:{1,2,5,7}:{(39,1),(41,1),(78,1),(82,1),(84,1)}
        63:{1,3,7}:{(40,1),(41,1),(79,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(51,1),(85,1),(90,1),(121,1)}
        65:{1,2,5,7}:{(42,1),(44,1),(85,1),(86,1)}
        66:{1,3,5}:{(43,1),(44,1),(53,1),(87,1)}
        67:{1,2,5,6}:{(44,1),(46,1),(54,1),(86,1),(88,1),(89,1)}
        68:{1,3,6}:{(45,1),(46,1),(56,1),(90,1)}
        69:{1,2,4,7}:{(46,1),(57,1),(89,1),(90,1),(121,1)}
        70:{3,5,6,7}:{(47,1),(48,1),(91,1),(138,1)}
        71:{2,4,6,7}:{(48,1),(50,1),(52,1),(91,1),(92,1)}
        72:{2,4,5,6}:{(49,1),(54,1),(94,1),(95,1),(99,1),(126,1),(136,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(55,1),(92,1),(95,1),(103,1),(121,1),(128,1),(135,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(58,1),(85,1),(96,1),(97,1)}
        75:{1,3,6,7}:{(52,1),(55,1),(92,1),(98,1),(124,1)}
        76:{2,4,5}:{(53,1),(60,1),(87,1),(93,1),(99,1)}
        77:{2,3,5,6}:{(53,1),(54,1),(56,1),(61,1),(88,1),(94,1),(97,1),(99,1),(100,1),(126,1)}
        78:{2,5,7}:{(54,1),(55,1),(57,1),(98,1)}
        79:{2,3,7}:{(56,1),(57,1),(63,1),(90,1)}
        80:{1,4,5,7}:{(58,1),(60,1),(96,1),(101,1),(103,1),(128,1)}
        81:{1,3,6}:{(58,1),(59,1),(97,1),(101,1)}
        82:{1,2,6,7}:{(59,1),(62,1),(98,1),(102,1)}
        83:{1,4,6}:{(60,1),(61,1),(99,1),(103,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(63,1),(100,1),(102,1),(103,1),(128,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(66,1),(74,1),(104,1),(105,1)}
        86:{1,2,6}:{(65,1),(105,1)}
        87:{1,4,5}:{(66,1),(76,1),(107,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(68,1),(77,1),(105,1),(107,1),(108,1),(129,1)}
        89:{1,2,5,7}:{(67,1),(69,1),(78,1),(106,1),(108,1)}
        90:{1,3,7}:{(68,1),(69,1),(79,1)}
        91:{2,5,6,7}:{(70,1),(71,1),(109,1),(134,1)}
        92:{1,4,6,7}:{(71,1),(73,1),(75,1),(109,1),(111,1)}
        93:{3,4,5}:{(76,1),(112,1)}
        94:{3,5,6}:{(72,1),(112,1),(113,1)}
        95:{2,4,5,7}:{(72,1),(73,1),(78,1),(111,1),(113,1),(116,1),(134,1),(139,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(80,1),(104,1),(110,1),(114,1),(116,1),(134,1)}
        97:{2,3,6}:{(74,1),(81,1),(105,1),(114,1)}
        98:{2,6,7}:{(75,1),(78,1)}
        99:{2,4,6}:{(76,1),(77,1),(83,1),(107,1),(112,1),(116,1)}
       100:{2,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(108,1),(113,1),(115,1),(116,1),(134,1)}
       101:{1,4,6}:{(80,1),(81,1),(114,1),(117,1)}
       102:{1,3,6,7}:{(81,1),(82,1),(84,1),(115,1),(118,1)}
       103:{1,4,7}:{(83,1),(84,1),(116,1)}
       104:{1,4,5,7}:{(85,1),(87,1),(96,1),(119,1),(121,1),(135,1)}
       105:{1,3,6}:{(85,1),(86,1),(97,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(89,1),(98,1),(120,1)}
       107:{1,4,6}:{(87,1),(88,1),(99,1),(121,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(90,1),(100,1),(120,1),(121,1),(135,1)}
       109:{1,5,6,7}:{(91,1),(92,1),(122,1),(128,1),(135,1)}
       110:{3,4,5,7}:{(93,1),(96,1),(123,1),(125,1),(138,1)}
       111:{2,4,6,7}:{(92,1),(95,1),(98,1),(122,1),(124,1),(137,1)}
       112:{3,4,6}:{(93,1),(94,1),(99,1),(125,1)}
       113:{3,5,7}:{(94,1),(95,1),(124,1),(125,1)}
       114:{2,4,6}:{(96,1),(97,1),(101,1),(119,1),(123,1),(126,1)}
       115:{2,3,6,7}:{(97,1),(98,1),(100,1),(102,1),(120,1),(124,1),(127,1)}
       116:{2,4,7}:{(99,1),(100,1),(103,1),(121,1),(125,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(105,1),(114,1),(129,1)}
       120:{1,3,6,7}:{(105,1),(106,1),(108,1),(115,1),(130,1)}
       121:{1,4,7}:{(107,1),(108,1),(116,1)}
       122:{2,5,6,7}:{(109,1),(111,1),(131,1),(134,1)}
       123:{3,4,6}:{(110,1),(114,1),(132,1)}
       124:{3,6,7}:{(111,1),(113,1)}
       125:{3,4,7}:{(112,1),(113,1),(116,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(132,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(133,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6,7}:{(122,1),(124,1),(137,1),(138,1)}
       132:{3,5,6}:{(123,1),(126,1),(136,1),(138,1)}
       133:{3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(132,1),(139,1)}
       137:{4,6,7}:{(131,1),(139,1)}
       138:{3,5,7}:{(132,1),(133,1),(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2608 :   0:{1,2,3,4,7}:{(1,1),(2,1),(34,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(120,1),(148,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(57,1),(111,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(10,1),(13,1),(32,1),(34,1),(99,1),(136,1)}
         5:{1,2,3,6}:{(1,1),(10,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(90,1),(128,1)}
         8:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(23,1),(45,1),(50,1),(78,1),(118,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(18,1),(20,1)}
        11:{1,2,3,6,7}:{(5,1),(19,1),(21,1),(85,1),(148,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(49,1)}
        13:{1,2,4,5}:{(6,1),(22,1),(23,1)}
        14:{1,2,4,5,7}:{(7,1),(24,1),(25,1),(28,1),(55,1),(57,1),(70,1),(109,1)}
        15:{1,2,3,6}:{(7,1),(25,1)}
        16:{1,2,3,5}:{(8,1),(28,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(36,1),(59,1),(60,1),(68,1),(97,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(32,1),(34,1),(136,1),(152,1)}
        20:{1,2,5,6}:{(10,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(32,1),(34,1),(66,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1)}
        23:{1,3,4,5}:{(13,1),(35,1),(36,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(42,1),(52,1),(71,1),(76,1),(88,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(37,1),(39,1)}
        26:{1,2,3,6,7}:{(15,1),(38,1),(40,1),(115,1),(128,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(39,1),(40,1),(41,1),(75,1)}
        28:{1,2,4,5}:{(16,1),(41,1),(42,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(44,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(43,1),(45,1),(50,1),(82,1),(85,1),(118,1),(146,1)}
        31:{1,3,5,6}:{(18,1),(20,1),(44,1),(45,1),(46,1)}
        32:{1,2,5,7}:{(19,1),(20,1),(45,1)}
        33:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(48,1),(49,1),(84,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,6}:{(22,1),(23,1),(49,1),(50,1),(51,1)}
        36:{2,3,4,5}:{(23,1),(51,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(54,1)}
        38:{1,2,4,6,7}:{(25,1),(26,1),(53,1),(55,1),(57,1),(109,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(54,1),(55,1)}
        40:{1,2,3,5,7}:{(26,1),(27,1),(55,1),(57,1),(95,1)}
        41:{1,2,4,6}:{(27,1),(28,1),(57,1),(58,1)}
        42:{1,3,4,5}:{(28,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(29,1),(30,1),(53,1),(60,1),(68,1),(97,1),(100,1),(106,1),(133,1)}
        44:{2,3,5,6}:{(29,1),(31,1),(54,1),(60,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(32,1),(60,1),(63,1)}
        46:{1,4,5,6}:{(31,1),(61,1),(63,1)}
        47:{1,2,5,6,7}:{(32,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(63,1),(65,1),(66,1),(104,1)}
        49:{1,3,5,6}:{(33,1),(35,1),(66,1),(67,1)}
        50:{1,3,4,7}:{(34,1),(35,1),(66,1),(68,1)}
        51:{2,3,4,6}:{(35,1),(36,1),(67,1),(68,1),(69,1)}
        52:{1,3,4,5}:{(36,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(37,1),(38,1),(43,1),(71,1),(76,1),(88,1),(112,1),(115,1),(126,1)}
        54:{1,3,5,6}:{(37,1),(39,1),(44,1),(71,1),(72,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{1,2,4,5,6}:{(39,1),(41,1),(72,1),(74,1),(75,1),(114,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(76,1)}
        58:{1,3,4,6}:{(41,1),(42,1),(75,1),(76,1),(77,1)}
        59:{2,3,4,5}:{(42,1),(77,1),(78,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(45,1),(71,1),(80,1)}
        61:{2,4,5,6}:{(44,1),(46,1),(72,1),(80,1),(81,1)}
        62:{1,3,5,6,7}:{(45,1),(47,1),(79,1),(82,1),(85,1),(146,1),(153,1)}
        63:{1,4,5,7}:{(45,1),(46,1),(80,1),(82,1)}
        64:{1,3,4,5,6}:{(46,1),(49,1),(81,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(82,1),(85,1),(124,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(50,1),(85,1),(86,1)}
        67:{2,3,5,6}:{(49,1),(51,1),(84,1),(86,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(51,1),(86,1),(88,1)}
        69:{1,3,4,6}:{(51,1),(52,1),(87,1),(88,1),(89,1)}
        70:{1,2,4,5}:{(52,1),(89,1),(90,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(60,1),(92,1)}
        72:{1,4,5,6}:{(54,1),(61,1),(92,1)}
        73:{1,2,5,6,7}:{(55,1),(91,1),(94,1),(142,1),(150,1)}
        74:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(92,1),(94,1),(95,1),(131,1)}
        75:{1,3,5,6}:{(56,1),(58,1),(95,1),(96,1)}
        76:{1,3,4,7}:{(57,1),(58,1),(95,1),(97,1)}
        77:{2,3,4,6}:{(58,1),(59,1),(96,1),(97,1),(98,1)}
        78:{1,3,4,5}:{(59,1),(98,1),(99,1)}
        79:{2,3,5,6,7}:{(60,1),(62,1),(91,1),(100,1),(106,1),(133,1),(139,1),(140,1),(150,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(63,1),(92,1),(100,1),(101,1)}
        81:{3,4,5,6}:{(61,1),(101,1)}
        82:{1,4,6,7}:{(62,1),(63,1),(100,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(101,1),(103,1),(104,1)}
        84:{2,4,5,6}:{(64,1),(67,1),(104,1),(105,1)}
        85:{1,3,6,7}:{(65,1),(66,1),(106,1)}
        86:{2,3,5,7}:{(66,1),(67,1),(68,1),(104,1),(106,1),(107,1)}
        87:{1,3,5,6}:{(67,1),(69,1),(105,1),(107,1),(108,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(107,1),(109,1)}
        89:{1,2,4,6}:{(69,1),(70,1),(108,1),(109,1),(110,1)}
        90:{1,2,3,5}:{(70,1),(110,1),(111,1)}
        91:{1,3,5,6,7}:{(71,1),(73,1),(79,1),(112,1),(115,1),(126,1),(149,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(80,1),(112,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(113,1),(114,1)}
        94:{1,2,4,6,7}:{(73,1),(74,1),(112,1),(115,1),(144,1)}
        95:{1,3,5,7}:{(74,1),(75,1),(76,1),(115,1),(116,1)}
        96:{2,3,5,6}:{(75,1),(77,1),(114,1),(116,1),(117,1)}
        97:{2,3,4,7}:{(76,1),(77,1),(116,1),(118,1)}
        98:{1,3,4,6}:{(77,1),(78,1),(117,1),(118,1),(119,1)}
        99:{1,2,4,5}:{(78,1),(119,1),(120,1)}
       100:{2,4,6,7}:{(79,1),(80,1),(82,1),(112,1),(122,1)}
       101:{3,4,5,7}:{(80,1),(81,1),(122,1)}
       102:{1,4,5,6,7}:{(82,1),(121,1),(123,1),(153,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(122,1),(123,1),(124,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,4,5,6}:{(84,1),(87,1),(125,1)}
       106:{2,3,6,7}:{(85,1),(86,1),(124,1),(126,1)}
       107:{1,3,5,7}:{(86,1),(87,1),(88,1),(125,1),(126,1),(127,1)}
       108:{1,2,5,6}:{(87,1),(89,1),(127,1)}
       109:{1,2,4,7}:{(88,1),(89,1),(127,1),(128,1)}
       110:{1,2,3,6}:{(89,1),(90,1),(128,1)}
       111:{1,2,3,4}:{(90,1)}
       112:{1,4,6,7}:{(91,1),(92,1),(100,1)}
       113:{1,3,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(130,1),(131,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(131,1),(132,1)}
       115:{1,3,6,7}:{(94,1),(95,1),(133,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(97,1),(131,1),(133,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(98,1),(132,1),(134,1),(135,1)}
       118:{1,3,4,7}:{(97,1),(98,1),(134,1),(136,1)}
       119:{1,2,4,6}:{(98,1),(99,1),(135,1),(136,1),(137,1)}
       120:{1,2,3,5}:{(99,1),(137,1),(138,1)}
       121:{2,4,5,6,7}:{(100,1),(102,1),(129,1),(139,1),(140,1),(150,1)}
       122:{3,4,6,7}:{(100,1),(101,1),(139,1)}
       123:{1,3,5,6,7}:{(102,1),(103,1),(139,1),(140,1)}
       124:{2,4,6,7}:{(103,1),(104,1),(106,1),(140,1),(141,1)}
       125:{1,4,5,7}:{(104,1),(105,1),(107,1),(141,1)}
       126:{1,3,6,7}:{(106,1),(107,1),(141,1),(142,1)}
       127:{1,2,5,7}:{(107,1),(108,1),(109,1),(142,1)}
       128:{1,2,3,7}:{(109,1),(110,1)}
       129:{1,4,5,6,7}:{(112,1),(121,1),(143,1),(149,1)}
       130:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(122,1),(143,1),(144,1)}
       131:{2,4,5,7}:{(113,1),(114,1),(116,1),(144,1),(145,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,3,6,7}:{(115,1),(116,1),(144,1),(146,1)}
       134:{1,3,5,7}:{(116,1),(117,1),(118,1),(145,1),(146,1),(147,1)}
       135:{1,2,5,6}:{(117,1),(119,1),(147,1)}
       136:{1,2,4,7}:{(118,1),(119,1),(147,1),(148,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,3,4}:{(120,1)}
       139:{3,5,6,7}:{(121,1),(122,1)}
       140:{2,5,6,7}:{(123,1),(124,1),(149,1)}
       141:{1,4,6,7}:{(124,1),(125,1),(126,1),(149,1)}
       142:{1,2,6,7}:{(126,1),(127,1)}
       143:{1,3,5,6,7}:{(129,1),(130,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(130,1),(131,1),(133,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(131,1),(132,1),(134,1),(151,1)}
       146:{1,3,6,7}:{(133,1),(134,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       148:{1,2,3,7}:{(136,1),(137,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2609 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2610 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2611 :   0:{1,2,3,5,6}:{(2,1),(3,1),(16,1),(26,1),(61,1),(77,1),(81,1),(88,1),(90,1),(141,1),(143,1),(237,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(23,1),(86,1),(153,1),(155,1),(176,1),(249,1)}
         2:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(52,1),(54,1),(118,1),(123,1),(189,1),(285,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(11,1),(12,1),(34,1),(120,1),(284,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(13,1),(14,1),(47,1),(120,1),(216,1)}
         5:{1,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(129,1),(203,1),(204,1),(225,1),(298,1)}
         6:{2,3,4,5}:{(17,1),(19,1),(78,1),(137,1),(246,1)}
         7:{1,2,3,6}:{(16,1),(20,1),(21,1),(141,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(23,1),(24,1),(249,1)}
         9:{1,3,4,6}:{(3,1),(22,1),(25,1),(26,1),(60,1),(88,1),(141,1)}
        10:{1,2,3,6,7}:{(2,1),(27,1),(61,1),(88,1),(165,1),(171,1),(238,1),(259,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(25,1),(168,1),(330,1)}
        12:{1,2,4,5}:{(3,1),(26,1),(78,1),(143,1),(236,1)}
        13:{1,4,5,6}:{(4,1),(23,1),(30,1),(158,1),(254,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(24,1),(30,1),(31,1),(82,1),(168,1),(266,1)}
        15:{1,3,4,6,7}:{(5,1),(31,1),(32,1),(83,1),(173,1),(174,1),(269,1)}
        16:{1,2,3,5}:{(7,1),(34,1),(44,1),(96,1)}
        17:{1,3,4,5}:{(6,1),(36,1),(38,1),(96,1),(111,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(39,1),(40,1),(110,1),(119,1),(183,1),(218,1),(277,1),(294,1),(304,1),(361,1),(377,1)}
        19:{2,3,4,6}:{(6,1),(8,1),(38,1),(40,1),(120,1),(184,1),(295,1)}
        20:{1,2,3,7}:{(7,1),(43,1),(189,1)}
        21:{1,2,4,6}:{(7,1),(34,1),(41,1),(43,1),(44,1),(117,1)}
        22:{2,3,4,6}:{(9,1),(35,1),(41,1),(45,1),(46,1),(94,1),(104,1),(120,1),(122,1),(184,1)}
        23:{1,3,5,6}:{(8,1),(13,1),(38,1),(47,1),(48,1)}
        24:{2,3,5,7}:{(8,1),(14,1),(40,1),(48,1),(49,1),(298,1)}
        25:{1,3,4,7}:{(9,1),(11,1),(45,1),(52,1),(189,1)}
        26:{1,3,5}:{(9,1),(12,1),(46,1)}
        27:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(54,1),(55,1),(98,1),(217,1),(307,1),(385,1)}
        28:{1,2,4,5,7}:{(11,1),(12,1),(52,1),(54,1),(55,1),(119,1),(130,1)}
        29:{1,2,4,5,6}:{(12,1),(13,1),(47,1),(53,1),(55,1),(56,1),(100,1),(120,1),(192,1),(200,1),(205,1),(216,1),(224,1),(274,1),(284,1),(357,1)}
        30:{1,4,5,7}:{(13,1),(14,1),(48,1),(57,1),(207,1),(303,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(49,1),(57,1),(58,1),(124,1)}
        32:{1,3,5,6,7}:{(15,1),(58,1),(59,1),(135,1),(225,1)}
        33:{1,2,3,5,7}:{(16,1),(20,1),(61,1),(62,1),(76,1),(140,1),(143,1),(259,1),(327,1),(350,1)}
        34:{1,2,4}:{(16,1),(60,1)}
        35:{2,3,4}:{(60,1),(65,1)}
        36:{2,4,5}:{(17,1),(65,1),(67,1)}
        37:{1,3,4,5,7}:{(17,1),(18,1),(66,1),(68,1),(69,1),(140,1),(154,1),(157,1),(236,1),(246,1),(330,1),(338,1),(340,1),(347,1),(407,1)}
        38:{1,3,4,6}:{(17,1),(19,1),(23,1),(67,1),(69,1),(141,1),(158,1)}
        39:{2,3,4,6}:{(18,1),(68,1),(70,1),(167,1),(231,1),(267,1),(322,1),(348,1)}
        40:{2,3,4,7}:{(19,1),(24,1),(69,1),(168,1),(232,1),(340,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(60,1),(72,1),(73,1),(141,1),(158,1),(160,1)}
        42:{1,2,3,6,7}:{(20,1),(61,1),(74,1),(75,1),(238,1),(262,1),(352,1),(413,1)}
        43:{1,2,4,7}:{(20,1),(21,1),(72,1),(76,1)}
        44:{1,2,5}:{(21,1),(73,1)}
        45:{2,3,4,7}:{(22,1),(25,1),(72,1),(80,1),(150,1),(168,1),(232,1)}
        46:{2,3,5}:{(22,1),(26,1),(73,1),(78,1)}
        47:{2,5,6}:{(23,1),(67,1),(82,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(30,1),(69,1),(82,1),(83,1)}
        49:{2,3,6,7}:{(24,1),(31,1),(83,1),(269,1)}
        50:{1,3,4,5}:{(26,1),(78,1),(86,1),(236,1),(246,1),(321,1)}
        51:{1,3,4,6,7}:{(25,1),(27,1),(79,1),(87,1),(88,1),(139,1),(178,1),(238,1),(260,1),(330,1),(351,1),(412,1)}
        52:{1,3,5,7}:{(25,1),(26,1),(28,1),(80,1),(88,1)}
        53:{1,3,5,6}:{(26,1),(29,1),(81,1),(86,1),(88,1),(89,1),(141,1),(249,1),(390,1)}
        54:{1,2,5,7}:{(27,1),(87,1),(90,1),(143,1),(266,1)}
        55:{1,2,4,6}:{(28,1),(88,1),(90,1),(167,1),(178,1)}
        56:{1,2,4,5,7}:{(29,1),(30,1),(82,1),(89,1),(91,1),(145,1),(168,1),(242,1),(250,1),(253,1),(266,1),(272,1),(318,1),(330,1),(391,1)}
        57:{1,4,6,7}:{(30,1),(31,1),(83,1),(92,1)}
        58:{2,5,6,7}:{(31,1),(32,1),(92,1),(266,1)}
        59:{1,4,5,6,7}:{(32,1),(93,1),(173,1),(272,1),(273,1)}
        60:{1,3,4}:{(34,1),(35,1),(94,1),(96,1)}
        61:{1,2,3,6}:{(33,1),(98,1),(117,1),(188,1),(385,1)}
        62:{1,2,4,7}:{(33,1),(34,1),(95,1),(98,1),(365,1)}
        63:{1,2,4,5}:{(34,1),(36,1),(44,1),(96,1),(100,1),(111,1),(181,1)}
        64:{2,3,4,7}:{(35,1),(95,1),(102,1),(103,1),(296,1),(374,1)}
        65:{2,3,5}:{(35,1),(36,1),(96,1),(104,1)}
        66:{2,4,5,7}:{(36,1),(37,1),(103,1),(105,1),(106,1),(197,1),(201,1),(296,1),(375,1),(429,1)}
        67:{2,4,6}:{(36,1),(38,1),(47,1),(104,1),(106,1)}
        68:{1,3,4,6}:{(37,1),(39,1),(105,1),(107,1),(188,1),(206,1),(284,1),(295,1),(383,1)}
        69:{1,3,4,7}:{(38,1),(40,1),(48,1),(106,1),(189,1),(207,1)}
        70:{2,3,5,6}:{(39,1),(107,1),(109,1),(110,1),(216,1),(312,1),(381,1)}
        71:{2,3,4,6,7}:{(39,1),(40,1),(49,1),(108,1),(110,1),(126,1),(217,1),(279,1),(314,1),(315,1),(361,1),(377,1),(384,1)}
        72:{1,3,4,7}:{(41,1),(43,1),(45,1),(113,1),(189,1),(207,1)}
        73:{1,3,5}:{(41,1),(44,1),(46,1),(111,1)}
        74:{1,2,3,5,7}:{(42,1),(97,1),(115,1),(116,1),(212,1),(285,1),(371,1),(427,1),(450,1)}
        75:{1,2,4,6,7}:{(42,1),(43,1),(98,1),(112,1),(115,1),(116,1),(117,1),(213,1),(384,1)}
        76:{1,2,5,7}:{(43,1),(44,1),(113,1),(117,1)}
        77:{1,2,5,6}:{(44,1),(47,1),(100,1),(114,1),(117,1),(118,1),(274,1)}
        78:{2,4,5}:{(46,1),(50,1),(111,1),(120,1)}
        79:{2,3,4,6,7}:{(45,1),(51,1),(102,1),(112,1),(121,1),(122,1),(182,1),(199,1),(211,1),(217,1),(219,1),(279,1),(296,1),(309,1),(314,1),(361,1),(384,1)}
        80:{2,3,5,7}:{(45,1),(46,1),(52,1),(113,1),(119,1),(122,1)}
        81:{2,3,5,6}:{(46,1),(47,1),(53,1),(104,1),(114,1),(120,1),(122,1),(123,1),(184,1),(216,1),(274,1)}
        82:{2,5,7}:{(47,1),(48,1),(106,1),(124,1)}
        83:{1,3,6,7}:{(48,1),(49,1),(57,1),(124,1)}
        84:{2,3,5,6,7}:{(49,1),(58,1),(110,1),(125,1),(126,1),(135,1),(227,1),(315,1)}
        85:{1,3,4,5,7}:{(50,1),(52,1),(119,1),(128,1),(129,1),(130,1),(218,1),(225,1)}
        86:{1,3,4,6}:{(50,1),(53,1),(120,1),(129,1),(284,1),(295,1),(360,1)}
        87:{1,3,5,7}:{(51,1),(54,1),(121,1),(130,1),(131,1),(187,1),(431,1)}
        88:{1,3,6}:{(52,1),(55,1),(122,1)}
        89:{1,3,5,7}:{(53,1),(56,1),(123,1),(129,1),(132,1),(189,1),(298,1),(416,1)}
        90:{1,2,5,6}:{(54,1),(55,1),(131,1),(216,1),(385,1)}
        91:{1,2,4,6,7}:{(55,1),(56,1),(57,1),(124,1),(132,1),(133,1),(217,1),(221,1),(226,1),(301,1),(356,1),(414,1)}
        92:{1,5,6,7}:{(57,1),(58,1),(303,1)}
        93:{2,4,5,6,7}:{(58,1),(59,1),(126,1),(134,1),(135,1),(221,1),(227,1),(313,1)}
        94:{2,3,4}:{(60,1),(137,1)}
        95:{1,3,4,7}:{(60,1),(62,1),(64,1),(136,1),(139,1),(140,1),(330,1),(398,1)}
        96:{1,3,5}:{(60,1),(63,1),(65,1),(137,1),(141,1)}
        97:{1,2,3,5,6}:{(61,1),(74,1),(142,1),(143,1),(164,1),(237,1),(240,1),(262,1),(327,1),(333,1),(402,1),(440,1)}
        98:{1,2,4,6}:{(61,1),(62,1),(139,1),(143,1)}
        99:{1,2,4,5,7}:{(62,1),(63,1),(66,1),(76,1),(140,1),(143,1),(144,1),(145,1),(157,1),(228,1),(236,1),(242,1),(330,1),(347,1),(350,1),(399,1),(441,1)}
       100:{1,2,4,6}:{(63,1),(67,1),(77,1),(141,1),(145,1),(158,1),(229,1)}
       101:{2,3,4,5}:{(65,1),(78,1),(138,1),(147,1),(321,1)}
       102:{2,3,4,6}:{(64,1),(139,1),(148,1),(149,1),(247,1)}
       103:{2,3,5,7}:{(64,1),(65,1),(66,1),(140,1),(148,1),(149,1),(150,1),(405,1),(442,1)}
       104:{2,3,6}:{(65,1),(67,1),(141,1),(150,1)}
       105:{2,4,6}:{(66,1),(68,1),(149,1),(151,1)}
       106:{2,4,7}:{(67,1),(69,1),(82,1),(150,1)}
       107:{1,3,5,6}:{(68,1),(70,1),(151,1),(153,1),(154,1),(249,1),(254,1),(410,1)}
       108:{1,3,4,6,7}:{(68,1),(69,1),(71,1),(83,1),(152,1),(154,1),(173,1),(238,1),(255,1),(269,1),(330,1),(340,1),(355,1),(407,1),(412,1)}
       109:{2,4,5,6}:{(70,1),(153,1),(155,1),(156,1),(322,1)}
       110:{2,3,5,7}:{(70,1),(71,1),(154,1),(156,1),(266,1),(354,1),(411,1)}
       111:{1,4,5}:{(73,1),(78,1),(158,1)}
       112:{1,3,4,6,7}:{(72,1),(75,1),(79,1),(139,1),(159,1),(160,1),(162,1),(238,1),(255,1),(257,1),(262,1),(330,1)}
       113:{1,3,5,7}:{(72,1),(73,1),(76,1),(80,1),(157,1),(160,1)}
       114:{1,3,5,6}:{(73,1),(77,1),(81,1),(141,1),(158,1),(160,1),(161,1),(254,1)}
       115:{1,2,4,7}:{(74,1),(142,1),(162,1),(330,1),(401,1)}
       116:{1,2,5,7}:{(75,1),(143,1),(159,1),(164,1),(411,1)}
       117:{1,2,6}:{(76,1),(160,1)}
       118:{1,2,5,7}:{(77,1),(82,1),(145,1),(161,1),(165,1),(318,1)}
       119:{2,4,5,7}:{(78,1),(80,1),(85,1),(157,1),(167,1),(168,1),(266,1)}
       120:{2,4,6}:{(78,1),(81,1),(86,1),(158,1),(168,1)}
       121:{2,3,5,7}:{(79,1),(87,1),(148,1),(159,1),(169,1),(170,1),(230,1),(266,1),(354,1),(411,1)}
       122:{2,3,6}:{(80,1),(88,1),(160,1),(167,1)}
       123:{2,3,5,7}:{(81,1),(82,1),(89,1),(150,1),(161,1),(168,1),(171,1),(232,1),(266,1),(318,1)}
       124:{2,6,7}:{(82,1),(83,1)}
       125:{1,3,5,6,7}:{(83,1),(84,1),(92,1),(154,1),(172,1),(173,1),(269,1),(273,1),(355,1)}
       126:{2,4,6,7}:{(84,1),(156,1),(173,1),(174,1)}
       127:{1,3,4,5,6}:{(86,1),(166,1),(175,1),(176,1),(233,1),(325,1),(336,1),(390,1)}
       128:{1,3,4,6}:{(85,1),(88,1),(167,1),(176,1),(178,1),(267,1)}
       129:{1,3,4,7}:{(86,1),(89,1),(168,1),(330,1),(340,1),(394,1)}
       130:{1,4,5,7}:{(87,1),(169,1),(178,1),(236,1),(330,1)}
       131:{1,3,5,6}:{(87,1),(88,1),(90,1),(170,1),(178,1),(351,1),(410,1)}
       132:{1,3,6,7}:{(88,1),(89,1),(91,1),(171,1),(269,1),(432,1)}
       133:{1,2,5,6,7}:{(90,1),(91,1),(92,1),(172,1),(179,1),(242,1),(266,1),(344,1),(389,1),(413,1)}
       134:{1,4,5,6,7}:{(92,1),(93,1),(173,1),(180,1),(346,1)}
       135:{3,5,6,7}:{(93,1),(174,1),(269,1),(354,1)}
       136:{2,3,4,7}:{(94,1),(95,1),(182,1),(183,1),(361,1),(417,1)}
       137:{2,3,5}:{(94,1),(96,1),(181,1),(184,1)}
       138:{1,3,4,5}:{(96,1),(101,1),(111,1),(181,1),(186,1)}
       139:{1,3,4,6}:{(95,1),(98,1),(102,1),(182,1),(187,1),(188,1),(284,1)}
       140:{1,3,5,7}:{(95,1),(96,1),(99,1),(103,1),(183,1),(187,1),(188,1),(189,1),(424,1),(450,1)}
       141:{1,3,6}:{(96,1),(100,1),(104,1),(184,1),(189,1)}
       142:{1,2,4,6}:{(97,1),(115,1),(190,1),(191,1),(284,1),(365,1),(367,1)}
       143:{1,2,5}:{(98,1),(187,1)}
       144:{1,2,4,6}:{(99,1),(105,1),(117,1),(188,1),(192,1),(206,1),(275,1),(284,1),(383,1),(385,1)}
       145:{1,2,4,7}:{(100,1),(106,1),(118,1),(189,1),(207,1),(276,1)}
       146:{2,3,4,5,7}:{(101,1),(103,1),(119,1),(185,1),(195,1),(196,1),(197,1),(218,1),(293,1),(296,1),(304,1),(359,1),(420,1)}
       147:{2,3,4,6}:{(101,1),(104,1),(120,1),(186,1),(194,1),(196,1),(360,1)}
       148:{2,3,5}:{(102,1),(187,1),(197,1)}
       149:{2,3,6}:{(103,1),(105,1),(188,1)}
       150:{2,3,7}:{(104,1),(106,1),(189,1)}
       151:{2,5,6}:{(105,1),(107,1),(201,1)}
       152:{2,4,6,7}:{(105,1),(106,1),(108,1),(124,1),(199,1),(201,1),(296,1),(388,1),(429,1)}
       153:{1,4,5,6}:{(107,1),(109,1),(200,1),(203,1),(284,1)}
       154:{1,3,5,7}:{(107,1),(108,1),(110,1),(201,1),(203,1),(298,1),(303,1),(431,1)}
       155:{3,4,5,6}:{(109,1),(204,1),(312,1),(360,1)}
       156:{2,4,5,7}:{(109,1),(110,1),(126,1),(203,1),(204,1),(361,1)}
       157:{1,4,5,7}:{(111,1),(113,1),(119,1),(206,1),(207,1),(303,1)}
       158:{1,4,6}:{(111,1),(114,1),(120,1),(207,1)}
       159:{1,3,5,7}:{(112,1),(116,1),(121,1),(187,1),(208,1),(209,1),(303,1)}
       160:{1,3,6}:{(113,1),(117,1),(122,1),(206,1)}
       161:{1,3,5,7}:{(114,1),(118,1),(123,1),(189,1),(207,1),(210,1),(303,1)}
       162:{1,3,4,7}:{(115,1),(190,1),(211,1),(212,1),(450,1)}
       163:{1,2,4,5,7}:{(115,1),(116,1),(191,1),(208,1),(212,1),(213,1),(304,1)}
       164:{1,2,5,6}:{(116,1),(117,1),(209,1),(213,1),(381,1)}
       165:{1,2,6,7}:{(117,1),(118,1),(124,1),(210,1),(356,1)}
       166:{2,4,5,6}:{(120,1),(127,1),(194,1),(205,1),(215,1),(216,1),(274,1)}
       167:{2,4,6}:{(119,1),(122,1),(128,1),(206,1),(216,1)}
       168:{2,4,7}:{(120,1),(123,1),(129,1),(207,1)}
       169:{2,4,5,7}:{(121,1),(130,1),(197,1),(208,1),(218,1),(219,1),(277,1),(296,1),(361,1)}
       170:{2,3,5,6}:{(121,1),(122,1),(131,1),(209,1),(216,1),(219,1),(309,1),(312,1),(381,1)}
       171:{2,3,6,7}:{(122,1),(123,1),(124,1),(132,1),(210,1),(217,1),(356,1)}
       172:{2,5,6,7}:{(124,1),(125,1),(201,1),(221,1),(388,1)}
       173:{1,4,6,7}:{(125,1),(126,1),(203,1),(221,1)}
       174:{3,4,6,7}:{(126,1),(135,1),(204,1)}
       175:{1,3,4,5,7}:{(127,1),(129,1),(215,1),(223,1),(225,1),(280,1),(364,1),(373,1),(416,1)}
       176:{1,3,5,6}:{(128,1),(216,1),(224,1),(225,1),(312,1)}
       177:{1,3,4,6,7}:{(128,1),(129,1),(132,1),(217,1),(225,1),(226,1),(314,1)}
       178:{1,4,6}:{(130,1),(131,1),(219,1)}
       179:{1,3,5,6,7}:{(131,1),(132,1),(133,1),(220,1),(225,1),(226,1),(285,1),(386,1),(431,1)}
       180:{1,3,5,6,7}:{(134,1),(135,1),(222,1),(227,1),(382,1)}
       181:{2,4,5}:{(137,1),(138,1),(229,1)}
       182:{2,3,4,6}:{(136,1),(139,1),(230,1),(231,1),(322,1)}
       183:{2,3,5,7}:{(136,1),(137,1),(140,1),(228,1),(230,1),(231,1),(232,1),(435,1),(453,1)}
       184:{2,3,6}:{(137,1),(141,1),(229,1),(232,1)}
       185:{1,3,4,5,7}:{(138,1),(140,1),(146,1),(157,1),(228,1),(234,1),(235,1),(236,1),(321,1),(326,1),(330,1),(347,1),(392,1),(394,1),(437,1)}
       186:{1,3,4,6}:{(138,1),(141,1),(147,1),(158,1),(229,1),(233,1),(235,1)}
       187:{1,3,5}:{(139,1),(143,1),(148,1),(230,1),(236,1)}
       188:{1,3,6}:{(140,1),(144,1),(149,1),(231,1)}
       189:{1,3,7}:{(141,1),(145,1),(150,1),(232,1)}
       190:{1,3,4,6}:{(142,1),(162,1),(239,1),(240,1),(262,1),(398,1),(440,1)}
       191:{1,2,4,5}:{(142,1),(143,1),(236,1),(240,1),(328,1)}
       192:{1,2,5,6}:{(143,1),(144,1),(151,1),(237,1),(242,1),(254,1),(319,1),(410,1)}
       193:{1,2,4,6,7}:{(144,1),(145,1),(152,1),(165,1),(238,1),(242,1),(255,1),(320,1),(330,1),(412,1),(413,1),(441,1)}
       194:{2,3,5,6}:{(147,1),(166,1),(233,1),(243,1),(390,1)}
       195:{2,3,4,6}:{(146,1),(149,1),(167,1),(234,1),(244,1),(247,1),(267,1),(348,1)}
       196:{2,3,4,7}:{(147,1),(150,1),(168,1),(235,1),(243,1),(394,1)}
       197:{2,4,5}:{(148,1),(236,1),(246,1),(247,1)}
       198:{2,3,5,6}:{(148,1),(149,1),(151,1),(237,1),(247,1),(248,1),(249,1)}
       199:{2,3,6,7}:{(149,1),(150,1),(152,1),(238,1),(248,1),(269,1),(442,1)}
       200:{2,4,5,6}:{(151,1),(153,1),(247,1),(249,1),(250,1)}
       201:{2,5,7}:{(151,1),(152,1),(154,1)}
       202:{1,3,4,5,6}:{(153,1),(155,1),(249,1),(251,1),(252,1),(329,1),(341,1),(345,1)}
       203:{1,4,5,7}:{(153,1),(154,1),(156,1),(173,1),(250,1),(330,1)}
       204:{3,4,5,7}:{(155,1),(156,1),(174,1),(354,1),(394,1)}
       205:{1,4,5,6}:{(158,1),(166,1),(233,1),(253,1),(254,1)}
       206:{1,4,6}:{(157,1),(160,1),(167,1),(254,1)}
       207:{1,4,7}:{(158,1),(161,1),(168,1)}
       208:{1,4,5,7}:{(159,1),(169,1),(236,1),(257,1),(330,1)}
       209:{1,3,5,6}:{(159,1),(160,1),(164,1),(170,1),(254,1),(257,1),(262,1)}
       210:{1,3,6,7}:{(160,1),(161,1),(165,1),(171,1),(255,1)}
       211:{2,3,4,7}:{(162,1),(239,1),(260,1),(261,1),(401,1),(442,1),(453,1)}
       212:{1,3,5,7}:{(162,1),(163,1),(240,1),(261,1),(262,1)}
       213:{1,2,4,6}:{(163,1),(164,1),(257,1),(262,1),(348,1)}
       214:{1,2,5,6,7}:{(164,1),(165,1),(172,1),(242,1),(258,1),(263,1),(273,1),(389,1),(411,1),(443,1)}
       215:{2,4,5,7}:{(166,1),(168,1),(175,1),(243,1),(253,1),(264,1),(266,1),(318,1)}
       216:{2,5,6}:{(167,1),(176,1),(254,1),(266,1)}
       217:{2,4,6,7}:{(167,1),(168,1),(171,1),(177,1),(255,1),(266,1)}
       218:{3,4,5,7}:{(169,1),(246,1),(267,1),(321,1),(340,1),(354,1),(394,1)}
       219:{2,4,6}:{(169,1),(170,1),(178,1),(257,1),(267,1)}
       220:{2,3,5,6,7}:{(170,1),(171,1),(172,1),(179,1),(248,1),(258,1),(266,1),(268,1),(269,1),(323,1),(352,1),(354,1),(389,1),(411,1),(432,1)}
       221:{2,4,6,7}:{(172,1),(173,1),(250,1),(269,1)}
       222:{1,3,4,6,7}:{(173,1),(174,1),(180,1),(252,1),(269,1),(270,1),(355,1)}
       223:{1,3,4,6,7}:{(175,1),(264,1),(271,1),(324,1),(395,1),(404,1),(432,1)}
       224:{1,4,5,6}:{(176,1),(178,1),(265,1),(272,1),(410,1)}
       225:{1,3,5,7}:{(176,1),(177,1),(266,1),(272,1),(354,1)}
       226:{1,4,6,7}:{(178,1),(179,1),(268,1),(272,1),(330,1)}
       227:{2,5,6,7}:{(180,1),(270,1),(273,1),(411,1)}
       228:{2,4,5,7}:{(181,1),(183,1),(185,1),(275,1),(276,1),(277,1),(358,1),(361,1),(418,1),(448,1)}
       229:{2,4,6}:{(181,1),(184,1),(186,1),(274,1),(276,1)}
       230:{2,3,5}:{(182,1),(187,1),(277,1)}
       231:{2,3,6}:{(183,1),(188,1),(275,1)}
       232:{2,3,7}:{(184,1),(189,1),(276,1)}
       233:{1,3,5,6}:{(186,1),(194,1),(205,1),(274,1),(280,1)}
       234:{1,3,4,6}:{(185,1),(188,1),(195,1),(206,1),(275,1),(281,1),(284,1),(360,1),(383,1)}
       235:{1,3,4,7}:{(186,1),(189,1),(196,1),(207,1),(276,1),(280,1)}
       236:{1,4,5}:{(187,1),(197,1),(277,1),(284,1)}
       237:{1,3,5,6}:{(187,1),(188,1),(192,1),(198,1),(278,1),(284,1),(285,1)}
       238:{1,3,6,7}:{(188,1),(189,1),(193,1),(199,1),(279,1),(285,1),(450,1)}
       239:{2,3,4,6}:{(190,1),(211,1),(287,1),(288,1),(309,1),(367,1),(374,1),(417,1),(428,1),(447,1)}
       240:{1,3,5}:{(190,1),(191,1),(288,1)}
       241:{1,2,4,5,6}:{(191,1),(192,1),(200,1),(213,1),(284,1),(289,1),(290,1),(299,1),(302,1),(357,1),(367,1),(378,1),(381,1),(422,1),(425,1),(445,1)}
       242:{1,2,5,7}:{(192,1),(193,1),(201,1),(285,1),(303,1),(358,1),(431,1)}
       243:{2,3,5,7}:{(194,1),(196,1),(215,1),(280,1),(291,1),(416,1)}
       244:{2,3,5,6}:{(195,1),(216,1),(281,1),(292,1),(293,1),(312,1),(381,1)}
       245:{2,3,4,6,7}:{(195,1),(196,1),(199,1),(217,1),(282,1),(291,1),(293,1),(296,1),(314,1),(372,1),(384,1),(420,1),(444,1)}
       246:{3,4,5}:{(197,1),(295,1)}
       247:{2,4,6}:{(197,1),(198,1),(284,1),(295,1),(296,1)}
       248:{2,3,5,7}:{(198,1),(199,1),(201,1),(285,1),(296,1),(298,1)}
       249:{3,5,6}:{(200,1),(295,1),(298,1)}
       250:{2,4,5,7}:{(200,1),(201,1),(203,1),(221,1),(296,1),(298,1)}
       251:{2,4,5,6}:{(202,1),(297,1),(299,1),(300,1),(367,1),(378,1),(381,1)}
       252:{1,3,4,5,7}:{(202,1),(203,1),(204,1),(222,1),(298,1),(300,1),(368,1),(379,1),(382,1)}
       253:{1,4,5,7}:{(205,1),(207,1),(215,1),(280,1),(301,1),(303,1)}
       254:{1,5,6}:{(206,1),(216,1),(303,1)}
       255:{1,4,6,7}:{(206,1),(207,1),(210,1),(217,1),(303,1)}
       256:{1,3,4,5,7}:{(208,1),(212,1),(218,1),(283,1),(304,1),(305,1),(368,1),(382,1)}
       257:{1,4,6}:{(208,1),(209,1),(219,1)}
       258:{1,3,5,6,7}:{(209,1),(210,1),(214,1),(220,1),(285,1),(303,1),(306,1),(310,1),(382,1)}
       259:{1,2,3,7}:{(286,1),(307,1),(450,1)}
       260:{1,3,4,7}:{(211,1),(287,1),(307,1),(308,1),(426,1),(450,1)}
       261:{2,3,5,7}:{(211,1),(212,1),(288,1),(304,1),(308,1),(309,1)}
       262:{1,3,6}:{(212,1),(213,1),(309,1)}
       263:{1,2,4,6,7}:{(213,1),(214,1),(221,1),(290,1),(306,1),(310,1),(316,1),(384,1),(388,1),(414,1),(449,1),(454,1)}
       264:{2,4,6,7}:{(215,1),(223,1),(291,1),(301,1),(311,1),(356,1)}
       265:{2,4,5,6}:{(216,1),(219,1),(224,1),(302,1),(312,1),(313,1),(381,1)}
       266:{2,5,7}:{(216,1),(217,1),(225,1),(303,1)}
       267:{3,4,6}:{(218,1),(219,1),(312,1)}
       268:{2,4,6,7}:{(219,1),(220,1),(226,1),(296,1),(306,1),(313,1),(314,1),(361,1)}
       269:{3,6,7}:{(221,1),(298,1)}
       270:{2,4,6,7}:{(222,1),(227,1),(300,1),(315,1),(316,1),(388,1)}
       271:{1,3,5,6,7}:{(223,1),(225,1),(311,1),(317,1),(387,1)}
       272:{1,4,5,7}:{(224,1),(225,1),(226,1),(313,1),(431,1)}
       273:{1,5,6,7}:{(227,1),(316,1),(431,1)}
       274:{2,5,6}:{(229,1),(233,1),(318,1)}
       275:{2,4,6}:{(228,1),(231,1),(234,1),(319,1)}
       276:{2,4,7}:{(229,1),(232,1),(235,1),(318,1)}
       277:{2,4,5}:{(230,1),(236,1),(321,1),(322,1)}
       278:{2,3,5,6}:{(230,1),(231,1),(237,1),(319,1),(322,1),(323,1),(390,1)}
       279:{2,3,6,7}:{(231,1),(232,1),(238,1),(320,1),(323,1),(432,1),(453,1)}
       280:{1,3,5,7}:{(233,1),(235,1),(243,1),(253,1),(318,1),(324,1)}
       281:{1,3,5,6}:{(234,1),(244,1),(254,1),(319,1),(325,1),(326,1),(390,1),(410,1)}
       282:{1,3,4,6,7}:{(234,1),(235,1),(238,1),(245,1),(255,1),(320,1),(324,1),(326,1),(330,1),(394,1),(395,1),(412,1),(432,1),(437,1),(451,1)}
       283:{1,3,4,5}:{(236,1),(240,1),(246,1),(321,1),(328,1),(329,1)}
       284:{1,4,6}:{(236,1),(237,1),(247,1),(322,1),(330,1)}
       285:{1,3,5,7}:{(237,1),(238,1),(242,1),(248,1),(323,1),(330,1)}
       286:{1,2,3,6}:{(259,1),(327,1),(331,1),(440,1)}
       287:{1,3,4,6}:{(239,1),(260,1),(331,1),(332,1),(351,1),(398,1),(400,1),(440,1)}
       288:{2,3,5}:{(239,1),(240,1),(328,1),(332,1)}
       289:{1,3,5,6}:{(240,1),(241,1),(249,1),(262,1),(329,1),(333,1),(334,1),(390,1),(440,1)}
       290:{1,2,4,5,7}:{(241,1),(242,1),(250,1),(263,1),(330,1),(334,1),(343,1),(346,1),(391,1),(401,1),(408,1),(411,1),(439,1),(441,1),(452,1)}
       291:{2,3,6,7}:{(243,1),(264,1),(324,1),(432,1)}
       292:{2,4,5,6}:{(244,1),(247,1),(325,1),(336,1),(337,1)}
       293:{2,3,5,7}:{(244,1),(245,1),(266,1),(326,1),(337,1),(354,1),(411,1)}
       294:{2,3,4,5}:{(246,1),(328,1),(338,1),(339,1),(435,1)}
       295:{3,4,6}:{(246,1),(247,1),(249,1),(340,1)}
       296:{2,4,7}:{(247,1),(248,1),(330,1),(340,1)}
       297:{2,3,5,6}:{(249,1),(251,1),(339,1),(341,1),(342,1)}
       298:{3,5,7}:{(249,1),(250,1),(269,1),(340,1)}
       299:{1,4,5,6}:{(251,1),(341,1),(343,1),(400,1),(410,1)}
       300:{2,4,5,7}:{(251,1),(252,1),(270,1),(342,1),(343,1),(401,1),(408,1),(411,1)}
       301:{1,4,6,7}:{(253,1),(264,1),(324,1),(344,1)}
       302:{1,4,5,6}:{(254,1),(257,1),(265,1),(345,1),(346,1)}
       303:{1,5,7}:{(254,1),(255,1),(266,1)}
       304:{2,4,5,7}:{(256,1),(261,1),(328,1),(347,1),(348,1),(401,1),(411,1)}
       305:{1,3,4,6}:{(256,1),(257,1),(262,1),(267,1),(345,1),(348,1)}
       306:{1,4,6,7}:{(257,1),(258,1),(268,1),(330,1),(346,1)}
       307:{1,2,4,7}:{(259,1),(260,1),(331,1),(350,1)}
       308:{1,3,5,7}:{(260,1),(261,1),(332,1),(347,1),(350,1),(351,1)}
       309:{2,3,6}:{(261,1),(262,1),(348,1),(351,1)}
       310:{1,3,6,7}:{(262,1),(263,1),(269,1),(334,1),(352,1),(432,1)}
       311:{2,5,6,7}:{(264,1),(266,1),(271,1),(344,1)}
       312:{3,5,6}:{(265,1),(267,1),(354,1)}
       313:{2,4,5,7}:{(265,1),(266,1),(268,1),(272,1),(346,1),(354,1),(411,1)}
       314:{3,4,6,7}:{(267,1),(268,1),(269,1),(340,1),(354,1),(394,1),(432,1)}
       315:{2,3,6,7}:{(269,1),(270,1),(342,1),(355,1)}
       316:{1,4,6,7}:{(270,1),(273,1),(343,1),(355,1)}
       317:{1,4,5,6,7}:{(271,1),(272,1),(353,1),(395,1),(443,1)}
       318:{2,5,7}:{(274,1),(276,1),(280,1),(356,1)}
       319:{2,5,6}:{(275,1),(281,1),(358,1)}
       320:{2,4,6,7}:{(275,1),(276,1),(279,1),(282,1),(356,1),(358,1),(361,1),(448,1),(454,1)}
       321:{3,4,5}:{(277,1),(360,1)}
       322:{2,4,6}:{(277,1),(278,1),(284,1),(360,1),(361,1)}
       323:{2,3,5,7}:{(278,1),(279,1),(285,1),(358,1),(361,1),(416,1)}
       324:{1,3,6,7}:{(280,1),(291,1),(301,1),(356,1)}
       325:{1,4,5,6}:{(281,1),(284,1),(292,1),(357,1),(364,1)}
       326:{1,3,5,7}:{(281,1),(282,1),(293,1),(303,1),(358,1),(364,1),(416,1),(431,1)}
       327:{1,2,3,5}:{(286,1),(365,1),(369,1),(424,1)}
       328:{2,4,5}:{(283,1),(288,1),(366,1),(367,1)}
       329:{1,3,4,6}:{(283,1),(284,1),(289,1),(295,1),(360,1),(367,1),(368,1)}
       330:{1,4,7}:{(284,1),(285,1),(296,1),(361,1)}
       331:{1,2,4,6}:{(286,1),(287,1),(307,1),(365,1),(369,1),(385,1)}
       332:{1,3,5}:{(287,1),(288,1),(366,1),(369,1)}
       333:{2,3,5,6}:{(288,1),(289,1),(309,1),(367,1),(370,1),(371,1),(378,1),(381,1),(428,1),(445,1),(447,1)}
       334:{1,3,5,7}:{(289,1),(290,1),(298,1),(310,1),(368,1),(371,1),(416,1),(450,1)}
       335:{2,3,5,6,7}:{(291,1),(293,1),(311,1),(362,1),(372,1),(387,1),(430,1),(444,1)}
       336:{3,4,5,6}:{(292,1),(295,1),(312,1),(373,1)}
       337:{2,4,5,7}:{(292,1),(293,1),(296,1),(364,1),(372,1),(373,1)}
       338:{1,3,4,5}:{(294,1),(366,1),(375,1),(376,1),(424,1)}
       339:{2,3,4,6}:{(294,1),(295,1),(297,1),(367,1),(376,1),(377,1),(447,1)}
       340:{3,4,7}:{(295,1),(296,1),(298,1)}
       341:{1,3,5,6}:{(297,1),(299,1),(376,1),(378,1),(379,1)}
       342:{2,3,5,7}:{(297,1),(298,1),(300,1),(315,1),(377,1),(379,1)}
       343:{1,4,5,7}:{(299,1),(300,1),(316,1),(379,1),(426,1),(431,1)}
       344:{1,5,6,7}:{(301,1),(303,1),(311,1)}
       345:{1,3,5,6}:{(302,1),(305,1),(312,1),(381,1),(382,1)}
       346:{1,4,5,7}:{(302,1),(303,1),(306,1),(313,1),(382,1)}
       347:{1,4,5,7}:{(304,1),(308,1),(366,1),(383,1),(426,1),(431,1)}
       348:{2,4,6}:{(304,1),(305,1),(309,1),(381,1),(383,1)}
       349:{1,3,4,6,7}:{(305,1),(306,1),(310,1),(314,1),(368,1),(382,1),(384,1)}
       350:{1,2,5,7}:{(307,1),(308,1),(369,1),(385,1)}
       351:{1,3,6}:{(308,1),(309,1),(383,1),(385,1)}
       352:{2,3,6,7}:{(309,1),(310,1),(371,1),(384,1),(386,1),(388,1),(454,1)}
       353:{2,4,5,6,7}:{(311,1),(313,1),(317,1),(372,1),(380,1),(387,1),(414,1),(430,1)}
       354:{3,5,7}:{(312,1),(313,1),(314,1)}
       355:{1,3,6,7}:{(315,1),(316,1),(379,1),(388,1)}
       356:{2,6,7}:{(318,1),(324,1)}
       357:{2,4,5,6}:{(319,1),(322,1),(325,1),(390,1),(391,1)}
       358:{2,5,7}:{(319,1),(320,1),(326,1)}
       359:{2,3,4,5}:{(321,1),(328,1),(392,1),(393,1),(405,1)}
       360:{3,4,6}:{(321,1),(322,1),(390,1),(394,1)}
       361:{2,4,7}:{(322,1),(323,1),(330,1),(394,1)}
       362:{1,3,5,6,7}:{(324,1),(326,1),(335,1),(344,1),(389,1),(395,1),(432,1),(443,1),(451,1)}
       363:{1,3,4,5,6}:{(325,1),(329,1),(336,1),(345,1),(390,1),(396,1),(397,1),(433,1)}
       364:{1,4,5,7}:{(325,1),(326,1),(330,1),(337,1),(391,1),(395,1)}
       365:{1,2,4}:{(327,1),(398,1)}
       366:{1,4,5}:{(328,1),(332,1),(400,1)}
       367:{2,4,6}:{(328,1),(329,1),(333,1),(400,1),(401,1)}
       368:{1,3,4,7}:{(329,1),(330,1),(334,1),(340,1),(394,1),(401,1)}
       369:{1,2,5}:{(331,1),(332,1)}
       370:{1,3,5,6}:{(332,1),(333,1),(351,1),(400,1),(402,1),(403,1),(410,1),(440,1)}
       371:{2,3,5,7}:{(333,1),(334,1),(352,1),(401,1),(403,1),(408,1),(411,1),(442,1),(452,1),(453,1)}
       372:{2,4,6,7}:{(335,1),(337,1),(395,1),(404,1)}
       373:{3,4,5,7}:{(336,1),(337,1),(340,1),(354,1),(404,1)}
       374:{2,3,4}:{(398,1),(405,1)}
       375:{2,4,5}:{(338,1),(405,1),(406,1)}
       376:{1,3,4,6}:{(338,1),(339,1),(341,1),(400,1),(406,1),(407,1),(440,1)}
       377:{2,3,4,7}:{(339,1),(340,1),(342,1),(401,1),(407,1),(453,1)}
       378:{2,5,6}:{(341,1),(406,1),(408,1)}
       379:{1,3,5,7}:{(341,1),(342,1),(343,1),(355,1),(407,1),(408,1)}
       380:{1,4,5,6,7}:{(344,1),(346,1),(353,1),(395,1),(409,1)}
       381:{2,5,6}:{(345,1),(348,1),(410,1),(411,1)}
       382:{1,3,5,7}:{(345,1),(346,1),(349,1),(354,1),(411,1)}
       383:{1,4,6}:{(347,1),(348,1),(351,1),(410,1)}
       384:{2,4,6,7}:{(348,1),(349,1),(352,1),(401,1),(411,1),(412,1)}
       385:{1,2,6}:{(350,1),(351,1)}
       386:{1,3,6,7}:{(351,1),(352,1),(403,1),(412,1),(413,1)}
       387:{3,5,6,7}:{(353,1),(354,1),(404,1),(432,1)}
       388:{2,6,7}:{(355,1),(408,1)}
       389:{2,5,6,7}:{(356,1),(358,1),(362,1),(414,1),(454,1)}
       390:{3,5,6}:{(357,1),(360,1),(416,1)}
       391:{2,4,5,7}:{(357,1),(358,1),(361,1),(364,1),(414,1),(416,1)}
       392:{1,3,4,5}:{(359,1),(366,1),(418,1),(419,1),(424,1)}
       393:{2,3,4,6}:{(359,1),(360,1),(367,1),(415,1),(419,1),(420,1),(428,1)}
       394:{3,4,7}:{(360,1),(361,1),(416,1)}
       395:{1,4,6,7}:{(362,1),(364,1),(372,1),(414,1)}
       396:{2,4,5,6}:{(363,1),(367,1),(381,1),(415,1),(422,1),(423,1),(445,1)}
       397:{1,3,4,5,7}:{(363,1),(364,1),(368,1),(373,1),(382,1),(416,1),(421,1),(423,1),(446,1)}
       398:{1,3,4}:{(365,1),(374,1),(417,1),(424,1)}
       399:{1,2,4,5}:{(365,1),(366,1),(369,1),(375,1),(418,1),(424,1),(425,1)}
       400:{1,4,6}:{(366,1),(367,1),(370,1),(426,1)}
       401:{2,4,7}:{(367,1),(368,1),(371,1),(426,1)}
       402:{1,2,5,6}:{(369,1),(370,1),(378,1),(385,1),(425,1),(427,1),(445,1)}
       403:{1,3,5,7}:{(370,1),(371,1),(386,1),(426,1),(427,1),(431,1),(450,1)}
       404:{3,4,6,7}:{(372,1),(373,1),(387,1)}
       405:{2,3,5}:{(374,1),(375,1),(424,1),(428,1)}
       406:{2,4,6}:{(375,1),(376,1),(378,1),(428,1),(429,1)}
       407:{1,3,4,7}:{(376,1),(377,1),(379,1),(426,1),(429,1),(450,1)}
       408:{2,5,7}:{(378,1),(379,1),(388,1),(429,1)}
       409:{1,3,5,6,7}:{(380,1),(382,1),(387,1),(421,1),(430,1)}
       410:{1,5,6}:{(381,1),(383,1),(431,1)}
       411:{2,5,7}:{(381,1),(382,1),(384,1),(431,1)}
       412:{1,4,6,7}:{(383,1),(384,1),(386,1),(426,1),(431,1)}
       413:{1,2,6,7}:{(385,1),(386,1),(388,1),(427,1),(454,1)}
       414:{2,4,6,7}:{(389,1),(391,1),(395,1),(432,1)}
       415:{2,3,5,6}:{(390,1),(393,1),(396,1),(433,1),(434,1)}
       416:{3,5,7}:{(390,1),(391,1),(394,1),(432,1)}
       417:{2,3,4}:{(398,1),(435,1)}
       418:{2,4,5}:{(392,1),(435,1),(436,1)}
       419:{1,3,4,6}:{(392,1),(393,1),(400,1),(433,1),(436,1),(437,1),(440,1)}
       420:{2,3,4,7}:{(393,1),(394,1),(401,1),(434,1),(437,1),(442,1)}
       421:{1,3,4,6,7}:{(395,1),(397,1),(404,1),(409,1),(432,1),(438,1),(451,1)}
       422:{1,4,5,6}:{(396,1),(400,1),(410,1),(433,1),(439,1)}
       423:{2,4,5,7}:{(396,1),(397,1),(401,1),(411,1),(434,1),(438,1),(439,1),(452,1)}
       424:{1,3,5}:{(398,1),(399,1),(405,1),(435,1),(440,1)}
       425:{1,2,4,6}:{(399,1),(400,1),(402,1),(406,1),(436,1),(440,1),(441,1)}
       426:{1,4,7}:{(400,1),(401,1),(403,1)}
       427:{1,2,5,7}:{(402,1),(403,1),(408,1),(413,1),(441,1),(452,1)}
       428:{2,3,6}:{(405,1),(406,1),(440,1),(442,1)}
       429:{2,4,7}:{(406,1),(407,1),(408,1),(442,1)}
       430:{2,5,6,7}:{(409,1),(411,1),(438,1),(443,1)}
       431:{1,5,7}:{(410,1),(411,1),(412,1)}
       432:{3,6,7}:{(414,1),(416,1)}
       433:{1,3,5,6}:{(415,1),(419,1),(422,1),(445,1),(446,1)}
       434:{2,3,5,7}:{(415,1),(416,1),(420,1),(423,1),(444,1),(446,1)}
       435:{2,3,5}:{(417,1),(418,1),(424,1),(447,1)}
       436:{2,4,6}:{(418,1),(419,1),(445,1),(447,1),(448,1)}
       437:{1,3,4,7}:{(419,1),(420,1),(426,1),(446,1),(448,1),(450,1)}
       438:{2,4,6,7}:{(421,1),(423,1),(430,1),(444,1),(449,1),(454,1)}
       439:{1,4,5,7}:{(422,1),(423,1),(426,1),(431,1),(446,1),(449,1)}
       440:{1,3,6}:{(424,1),(425,1),(428,1),(447,1),(450,1)}
       441:{1,2,4,7}:{(425,1),(426,1),(427,1),(429,1),(448,1),(450,1)}
       442:{2,3,7}:{(428,1),(429,1),(450,1)}
       443:{1,5,6,7}:{(430,1),(431,1),(449,1)}
       444:{2,3,6,7}:{(432,1),(434,1),(438,1),(451,1)}
       445:{2,5,6}:{(433,1),(436,1),(452,1)}
       446:{1,3,5,7}:{(433,1),(434,1),(437,1),(439,1),(451,1),(452,1)}
       447:{2,3,6}:{(435,1),(436,1),(440,1),(453,1)}
       448:{2,4,7}:{(436,1),(437,1),(452,1),(453,1)}
       449:{1,4,6,7}:{(438,1),(439,1),(443,1),(451,1)}
       450:{1,3,7}:{(440,1),(441,1),(442,1),(453,1)}
       451:{1,3,6,7}:{(444,1),(446,1),(449,1),(454,1)}
       452:{2,5,7}:{(445,1),(446,1),(448,1),(454,1)}
       453:{2,3,7}:{(447,1),(448,1),(450,1)}
       454:{2,6,7}:{(451,1),(452,1)}

2612 :   0:{1,3,4,5,6}:{(1,1),(2,1),(14,1),(34,1),(52,1),(89,1),(161,1),(177,1)}
         1:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(57,1),(78,1),(123,1),(142,1),(195,1)}
         2:{2,4,5,6}:{(0,1),(4,1),(7,1),(8,1),(28,1),(75,1),(208,1)}
         3:{2,3,4,5}:{(10,1),(11,1),(80,1),(106,1),(229,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(13,1),(14,1),(161,1)}
         5:{1,4,5,6,7}:{(12,1),(15,1),(98,1),(102,1),(176,1)}
         6:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(46,1),(102,1),(172,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(13,1),(16,1),(17,1),(47,1),(105,1),(174,1)}
         8:{1,4,5,6}:{(2,1),(14,1),(17,1),(101,1),(236,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(21,1),(59,1),(110,1),(111,1),(140,1),(178,1),(245,1),(246,1),(257,1),(290,1),(294,1)}
        10:{2,3,4,6}:{(3,1),(4,1),(21,1),(22,1),(75,1),(112,1),(196,1)}
        11:{1,3,4,5}:{(3,1),(22,1),(23,1),(56,1),(136,1)}
        12:{2,4,5,6,7}:{(5,1),(24,1),(25,1),(29,1),(68,1),(71,1),(137,1),(207,1)}
        13:{2,3,5,7}:{(4,1),(7,1),(21,1),(26,1),(27,1),(195,1)}
        14:{1,3,5,6}:{(4,1),(8,1),(22,1),(27,1),(28,1)}
        15:{1,3,5,6,7}:{(5,1),(6,1),(25,1),(29,1),(142,1)}
        16:{2,4,6,7}:{(6,1),(7,1),(26,1),(29,1),(30,1),(73,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(27,1),(30,1),(135,1),(204,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(32,1),(55,1),(75,1),(117,1),(124,1),(136,1),(185,1),(191,1),(205,1),(208,1),(209,1),(246,1),(248,1),(291,1)}
        19:{2,3,4,6}:{(9,1),(35,1),(37,1),(146,1),(175,1),(215,1),(280,1),(303,1),(305,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(37,1),(38,1),(39,1),(84,1),(90,1),(145,1),(171,1),(211,1),(224,1),(225,1),(228,1),(229,1),(304,1)}
        21:{2,3,4,7}:{(10,1),(13,1),(39,1),(105,1),(148,1),(228,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(14,1),(39,1),(40,1),(86,1),(101,1)}
        23:{2,4,5}:{(11,1),(40,1),(41,1)}
        24:{1,4,5,6,7}:{(12,1),(42,1),(49,1),(102,1),(235,1)}
        25:{3,5,6,7}:{(12,1),(44,1),(172,1),(237,1)}
        26:{2,3,6,7}:{(13,1),(16,1),(46,1),(172,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(17,1),(39,1),(46,1),(47,1)}
        28:{2,5,6}:{(14,1),(40,1),(47,1)}
        29:{2,5,6,7}:{(15,1),(16,1),(49,1),(174,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(46,1),(49,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(47,1),(50,1),(51,1),(85,1),(105,1),(154,1),(160,1),(171,1),(174,1),(176,1),(218,1),(224,1),(272,1)}
        32:{1,3,5,6}:{(18,1),(48,1),(51,1),(52,1),(86,1),(159,1),(161,1),(227,1),(271,1),(303,1)}
        33:{1,2,4,5}:{(23,1),(55,1),(56,1),(113,1),(136,1),(185,1)}
        34:{3,4,5,6}:{(57,1),(58,1),(244,1),(263,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(59,1),(60,1),(208,1),(263,1),(297,1)}
        36:{2,3,4,6,7}:{(19,1),(21,1),(26,1),(59,1),(61,1),(71,1),(131,1),(139,1),(178,1),(182,1),(206,1),(245,1),(260,1)}
        37:{1,3,4,6}:{(19,1),(20,1),(60,1),(62,1),(119,1),(191,1),(196,1),(205,1),(311,1)}
        38:{2,4,5,7}:{(20,1),(23,1),(62,1),(63,1),(64,1),(125,1),(180,1),(197,1),(198,1),(241,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(27,1),(64,1),(121,1),(135,1)}
        40:{2,4,6}:{(22,1),(23,1),(28,1),(64,1),(65,1)}
        41:{2,3,5}:{(23,1),(56,1),(65,1),(66,1)}
        42:{1,3,5,6,7}:{(24,1),(25,1),(67,1),(68,1),(261,1)}
        43:{1,2,5,6}:{(28,1),(55,1),(69,1),(70,1),(185,1),(248,1)}
        44:{3,4,6,7}:{(25,1),(57,1),(71,1)}
        45:{2,3,5,6,7}:{(25,1),(26,1),(29,1),(59,1),(68,1),(71,1),(72,1),(131,1)}
        46:{1,3,6,7}:{(26,1),(27,1),(30,1),(73,1)}
        47:{2,5,7}:{(27,1),(28,1),(64,1),(73,1)}
        48:{2,3,5,6}:{(28,1),(32,1),(65,1),(70,1),(74,1),(75,1),(112,1),(130,1),(185,1),(200,1),(208,1),(248,1)}
        49:{1,5,6,7}:{(29,1),(30,1),(204,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(73,1),(76,1),(77,1),(137,1),(139,1),(141,1),(205,1),(248,1),(291,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(74,1),(77,1),(78,1),(121,1),(195,1),(290,1)}
        52:{1,3,4,6}:{(32,1),(75,1),(78,1),(79,1),(191,1),(196,1),(244,1)}
        53:{1,3,4,5,6}:{(34,1),(81,1),(82,1),(89,1),(151,1),(161,1),(223,1),(283,1)}
        54:{1,2,4,5,7}:{(33,1),(38,1),(83,1),(84,1),(85,1),(147,1),(154,1),(171,1),(210,1),(217,1),(218,1),(224,1),(225,1),(265,1),(272,1),(304,1),(312,1)}
        55:{1,2,4,6}:{(33,1),(40,1),(43,1),(85,1),(86,1),(101,1),(149,1)}
        56:{1,3,5}:{(33,1),(41,1),(80,1),(86,1),(87,1)}
        57:{3,4,5,7}:{(34,1),(44,1),(88,1),(237,1),(270,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(88,1),(89,1),(215,1)}
        59:{2,3,5,7}:{(35,1),(36,1),(88,1),(90,1),(174,1),(237,1),(282,1)}
        60:{1,3,5,6}:{(35,1),(37,1),(89,1),(90,1),(91,1),(161,1),(236,1),(306,1)}
        61:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(46,1),(90,1),(92,1),(102,1),(156,1),(167,1),(170,1),(172,1),(211,1),(224,1),(228,1),(281,1)}
        62:{2,4,6}:{(37,1),(38,1),(91,1),(93,1)}
        63:{2,3,5,7}:{(38,1),(41,1),(84,1),(93,1),(94,1),(95,1),(165,1),(213,1),(268,1)}
        64:{2,4,7}:{(39,1),(40,1),(47,1),(95,1)}
        65:{2,3,6}:{(40,1),(41,1),(86,1),(95,1)}
        66:{2,3,4}:{(41,1),(87,1)}
        67:{1,3,4,6,7}:{(42,1),(44,1),(81,1),(97,1),(102,1),(167,1),(172,1)}
        68:{2,5,6,7}:{(42,1),(97,1),(98,1),(282,1)}
        69:{1,2,5,7}:{(43,1),(47,1),(85,1),(99,1),(100,1),(218,1)}
        70:{1,3,5,6}:{(43,1),(48,1),(86,1),(100,1),(101,1),(159,1),(227,1),(236,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(88,1),(102,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(49,1),(90,1),(98,1),(102,1),(103,1),(167,1),(172,1)}
        73:{2,6,7}:{(46,1),(47,1)}
        74:{2,3,5,7}:{(47,1),(48,1),(51,1),(95,1),(100,1),(104,1),(105,1),(148,1),(174,1),(218,1)}
        75:{2,4,6}:{(48,1),(52,1),(101,1),(105,1),(106,1)}
        76:{1,2,5,6,7}:{(49,1),(50,1),(103,1),(107,1),(154,1),(174,1),(232,1),(236,1),(273,1)}
        77:{1,3,6,7}:{(50,1),(51,1),(104,1),(172,1),(227,1),(303,1)}
        78:{1,3,4,7}:{(51,1),(52,1),(105,1),(224,1),(228,1),(270,1)}
        79:{1,3,4,5}:{(52,1),(106,1),(159,1),(225,1),(229,1),(271,1)}
        80:{2,3,5}:{(56,1),(112,1),(113,1),(185,1)}
        81:{1,3,4,5,7}:{(53,1),(57,1),(67,1),(115,1),(123,1),(186,1),(195,1),(253,1),(261,1)}
        82:{2,4,5,6}:{(53,1),(114,1),(115,1),(116,1),(187,1),(252,1),(297,1)}
        83:{1,2,4,6}:{(54,1),(62,1),(117,1),(119,1),(183,1),(191,1),(205,1),(248,1),(291,1),(311,1),(314,1)}
        84:{1,3,5,7}:{(54,1),(56,1),(63,1),(111,1),(119,1),(120,1),(121,1),(193,1),(240,1),(286,1),(290,1)}
        85:{1,2,4,7}:{(55,1),(64,1),(69,1),(121,1),(135,1),(184,1)}
        86:{1,3,6}:{(55,1),(56,1),(65,1),(112,1),(121,1)}
        87:{1,3,4}:{(56,1),(66,1),(113,1)}
        88:{2,4,5,7}:{(57,1),(58,1),(59,1),(71,1),(123,1),(245,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(123,1),(124,1),(191,1)}
        90:{1,3,5,7}:{(59,1),(60,1),(61,1),(123,1),(125,1),(195,1),(204,1),(296,1)}
        91:{2,5,6}:{(60,1),(62,1),(125,1)}
        92:{2,4,6,7}:{(61,1),(62,1),(64,1),(73,1),(125,1),(127,1),(197,1),(201,1),(241,1)}
        93:{2,3,6}:{(62,1),(63,1),(119,1)}
        94:{2,3,4,7}:{(63,1),(66,1),(120,1),(128,1),(197,1),(243,1)}
        95:{2,3,7}:{(64,1),(65,1),(121,1)}
        96:{2,3,4,6}:{(65,1),(66,1),(75,1),(122,1),(129,1),(130,1),(200,1),(244,1)}
        97:{2,4,6,7}:{(67,1),(68,1),(115,1),(131,1),(132,1),(201,1)}
        98:{1,5,6,7}:{(68,1),(132,1),(296,1)}
        99:{1,2,6,7}:{(69,1),(73,1),(134,1),(248,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(74,1),(121,1),(134,1),(135,1),(204,1)}
       101:{1,4,6}:{(70,1),(75,1),(135,1),(136,1)}
       102:{1,4,6,7}:{(71,1),(72,1),(123,1),(137,1)}
       103:{2,5,6,7}:{(72,1),(73,1),(125,1),(137,1),(201,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(77,1),(134,1),(139,1),(200,1),(248,1)}
       105:{2,4,7}:{(74,1),(75,1),(78,1),(135,1)}
       106:{2,4,5}:{(75,1),(79,1),(130,1),(136,1),(185,1)}
       107:{1,3,5,6,7}:{(76,1),(77,1),(138,1),(141,1),(142,1),(190,1),(256,1),(259,1),(296,1)}
       108:{1,3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(206,1)}
       109:{1,3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(143,1),(194,1),(255,1),(257,1),(290,1)}
       110:{2,3,4,5}:{(144,1),(145,1),(229,1),(264,1),(277,1)}
       111:{2,3,5,7}:{(80,1),(84,1),(146,1),(147,1),(148,1),(217,1),(218,1),(264,1),(298,1),(312,1)}
       112:{2,3,6}:{(80,1),(86,1),(148,1),(149,1)}
       113:{2,4}:{(80,1),(87,1)}
       114:{2,3,5,6}:{(82,1),(144,1),(150,1),(151,1),(161,1)}
       115:{2,4,5,7}:{(81,1),(82,1),(97,1),(150,1),(152,1),(220,1),(276,1),(282,1)}
       116:{1,4,5,6}:{(82,1),(151,1),(152,1),(275,1),(306,1)}
       117:{1,2,5,6}:{(83,1),(91,1),(154,1),(155,1),(217,1),(236,1),(273,1),(306,1)}
       118:{1,2,4,6,7}:{(83,1),(85,1),(92,1),(99,1),(154,1),(156,1),(170,1),(216,1),(224,1),(232,1),(265,1),(281,1)}
       119:{1,3,6}:{(83,1),(84,1),(93,1),(146,1),(303,1)}
       120:{1,3,4,7}:{(84,1),(87,1),(94,1),(147,1),(157,1),(224,1),(267,1),(270,1)}
       121:{1,3,7}:{(85,1),(86,1),(95,1),(148,1)}
       122:{1,3,4,6}:{(86,1),(87,1),(96,1),(101,1),(149,1),(158,1),(159,1),(227,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(160,1),(224,1)}
       124:{2,4,5,6}:{(89,1),(91,1),(160,1),(161,1),(163,1)}
       125:{2,5,7}:{(90,1),(91,1),(92,1)}
       126:{2,3,5,6}:{(91,1),(93,1),(155,1),(161,1),(162,1),(163,1),(165,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(95,1),(156,1),(162,1),(172,1),(268,1)}
       128:{2,3,4,6}:{(93,1),(94,1),(157,1),(163,1),(165,1)}
       129:{2,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(166,1),(270,1)}
       130:{2,3,5}:{(96,1),(106,1),(159,1),(271,1)}
       131:{2,3,6,7}:{(97,1),(150,1),(167,1),(172,1)}
       132:{1,4,6,7}:{(97,1),(98,1),(152,1),(167,1)}
       133:{1,2,5,6,7}:{(98,1),(99,1),(103,1),(154,1),(168,1),(169,1),(273,1),(282,1),(306,1)}
       134:{1,3,6,7}:{(99,1),(100,1),(104,1),(170,1),(227,1)}
       135:{1,4,7}:{(100,1),(101,1),(105,1)}
       136:{1,4,5}:{(101,1),(106,1),(159,1)}
       137:{2,4,6,7}:{(102,1),(103,1),(160,1),(172,1)}
       138:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(162,1),(169,1),(172,1),(173,1),(174,1),(214,1),(231,1),(233,1),(237,1),(273,1),(282,1),(303,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(108,1),(170,1),(174,1),(175,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(171,1),(174,1),(175,1),(218,1)}
       141:{1,4,6,7}:{(107,1),(173,1),(176,1),(224,1),(279,1)}
       142:{1,3,5,7}:{(108,1),(174,1),(176,1),(177,1),(237,1)}
       143:{1,3,4,6}:{(109,1),(175,1),(177,1),(227,1),(279,1),(280,1),(303,1)}
       144:{2,3,4,6}:{(110,1),(114,1),(178,1),(179,1),(196,1),(252,1),(284,1)}
       145:{1,3,4,5}:{(110,1),(179,1),(180,1),(240,1),(293,1)}
       146:{2,3,6}:{(111,1),(119,1),(183,1),(248,1),(314,1)}
       147:{2,4,7}:{(111,1),(113,1),(120,1),(183,1),(285,1)}
       148:{2,3,7}:{(112,1),(121,1),(184,1)}
       149:{2,4,6}:{(112,1),(113,1),(122,1),(184,1),(185,1),(248,1)}
       150:{2,3,5,7}:{(114,1),(115,1),(131,1),(178,1),(186,1),(195,1)}
       151:{1,3,5,6}:{(114,1),(116,1),(179,1),(186,1),(187,1)}
       152:{1,4,5,7}:{(115,1),(116,1),(132,1),(186,1),(292,1),(296,1)}
       153:{1,2,4,5,6}:{(116,1),(117,1),(124,1),(187,1),(188,1),(189,1),(191,1),(239,1),(246,1),(252,1),(262,1),(291,1),(293,1),(297,1),(308,1),(311,1),(314,1)}
       154:{1,2,5,7}:{(117,1),(118,1),(125,1),(190,1),(204,1),(247,1),(296,1)}
       155:{1,3,5,6}:{(117,1),(119,1),(126,1),(181,1),(190,1),(191,1),(193,1)}
       156:{1,3,6,7}:{(118,1),(119,1),(121,1),(127,1),(182,1),(190,1),(286,1)}
       157:{1,3,4,6}:{(119,1),(120,1),(128,1),(183,1),(191,1),(193,1),(244,1)}
       158:{1,3,4,7}:{(121,1),(122,1),(129,1),(135,1),(184,1),(194,1)}
       159:{1,3,5}:{(122,1),(130,1),(136,1),(185,1)}
       160:{2,4,5,7}:{(123,1),(124,1),(125,1),(137,1),(195,1),(197,1)}
       161:{3,5,6}:{(124,1),(195,1),(196,1)}
       162:{2,3,5,7}:{(125,1),(126,1),(127,1),(190,1),(195,1),(197,1)}
       163:{2,4,6}:{(126,1),(191,1),(196,1),(197,1),(198,1)}
       164:{2,3,4,6,7}:{(127,1),(128,1),(129,1),(139,1),(192,1),(197,1),(199,1),(200,1),(206,1),(258,1),(260,1),(288,1),(310,1)}
       165:{2,3,5}:{(128,1),(193,1),(198,1)}
       166:{2,3,5,7}:{(129,1),(130,1),(140,1),(194,1),(200,1),(290,1)}
       167:{1,3,6,7}:{(131,1),(132,1),(186,1),(201,1)}
       168:{1,2,4,6,7}:{(132,1),(133,1),(137,1),(188,1),(201,1),(202,1),(203,1),(260,1),(291,1),(311,1),(314,1)}
       169:{1,3,5,6,7}:{(133,1),(134,1),(138,1),(190,1),(202,1),(203,1),(204,1),(256,1),(261,1)}
       170:{1,4,6,7}:{(134,1),(135,1),(139,1),(204,1),(205,1)}
       171:{1,4,5,7}:{(135,1),(136,1),(140,1),(194,1),(204,1),(205,1)}
       172:{3,6,7}:{(137,1),(195,1)}
       173:{2,4,6,7}:{(138,1),(141,1),(197,1),(203,1),(206,1),(207,1),(245,1),(258,1),(291,1)}
       174:{2,5,7}:{(139,1),(142,1),(204,1),(208,1)}
       175:{2,4,6}:{(140,1),(143,1),(200,1),(205,1),(208,1),(248,1)}
       176:{1,4,5,7}:{(141,1),(142,1),(207,1),(209,1),(296,1)}
       177:{1,3,5,6}:{(142,1),(143,1),(208,1),(209,1),(263,1)}
       178:{2,3,4,7}:{(144,1),(150,1),(211,1),(228,1),(276,1),(298,1)}
       179:{1,3,4,6}:{(144,1),(145,1),(151,1),(211,1),(212,1),(266,1),(275,1)}
       180:{2,4,5}:{(145,1),(212,1),(213,1)}
       181:{2,3,5,6}:{(146,1),(155,1),(214,1),(215,1),(217,1),(271,1),(273,1),(303,1)}
       182:{2,3,6,7}:{(146,1),(148,1),(156,1),(214,1),(216,1),(298,1),(303,1)}
       183:{2,4,6}:{(146,1),(147,1),(157,1),(217,1)}
       184:{2,4,7}:{(148,1),(149,1),(158,1),(218,1)}
       185:{2,5}:{(149,1),(159,1)}
       186:{1,3,5,7}:{(150,1),(151,1),(152,1),(167,1),(211,1),(220,1)}
       187:{2,5,6}:{(151,1),(212,1),(220,1)}
       188:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(160,1),(168,1),(220,1),(222,1),(224,1),(235,1),(265,1),(272,1),(276,1),(282,1),(304,1),(312,1)}
       189:{1,3,5,6}:{(153,1),(161,1),(221,1),(222,1),(223,1),(266,1),(271,1),(301,1),(303,1),(313,1)}
       190:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(214,1),(224,1)}
       191:{1,4,6}:{(155,1),(163,1),(215,1),(224,1),(225,1)}
       192:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(164,1),(170,1),(216,1),(224,1),(226,1),(227,1),(270,1),(279,1),(281,1),(300,1),(303,1),(313,1)}
       193:{1,3,5}:{(157,1),(165,1),(217,1),(225,1),(271,1)}
       194:{1,3,5,7}:{(158,1),(159,1),(166,1),(171,1),(218,1),(227,1)}
       195:{3,5,7}:{(160,1),(161,1),(172,1),(228,1)}
       196:{3,4,6}:{(161,1),(163,1),(228,1),(229,1)}
       197:{2,4,7}:{(162,1),(163,1),(224,1),(228,1)}
       198:{2,4,5}:{(163,1),(165,1),(225,1),(229,1)}
       199:{2,3,5,7}:{(164,1),(165,1),(174,1),(226,1),(230,1),(231,1),(237,1),(282,1)}
       200:{2,3,6}:{(166,1),(175,1),(227,1),(303,1)}
       201:{2,6,7}:{(167,1),(220,1)}
       202:{1,3,6,7}:{(168,1),(172,1),(222,1),(233,1),(303,1),(313,1)}
       203:{1,4,6,7}:{(169,1),(173,1),(224,1),(235,1),(279,1)}
       204:{1,5,7}:{(170,1),(174,1),(236,1)}
       205:{1,4,6}:{(171,1),(175,1),(227,1),(236,1)}
       206:{3,4,6,7}:{(172,1),(173,1),(228,1),(237,1),(270,1),(280,1),(303,1)}
       207:{2,4,5,7}:{(173,1),(174,1),(176,1),(235,1),(237,1),(238,1),(282,1)}
       208:{2,5,6}:{(174,1),(175,1),(177,1),(236,1)}
       209:{1,4,5,6}:{(176,1),(177,1),(238,1),(279,1),(306,1)}
       210:{1,2,4,5}:{(180,1),(239,1),(240,1),(285,1),(293,1),(308,1)}
       211:{1,3,4,7}:{(178,1),(179,1),(186,1),(241,1),(286,1),(292,1)}
       212:{2,4,6}:{(179,1),(180,1),(187,1),(241,1),(242,1)}
       213:{2,3,5}:{(180,1),(240,1),(242,1),(243,1)}
       214:{2,3,5,7}:{(181,1),(182,1),(190,1),(245,1),(247,1),(290,1)}
       215:{2,4,6}:{(181,1),(191,1),(244,1),(245,1),(246,1)}
       216:{2,4,6,7}:{(182,1),(183,1),(184,1),(192,1),(245,1),(247,1),(248,1),(291,1),(307,1),(314,1)}
       217:{2,5}:{(183,1),(193,1)}
       218:{2,5,7}:{(184,1),(185,1),(194,1),(248,1)}
       219:{1,2,5,6}:{(187,1),(239,1),(249,1),(250,1),(308,1),(314,1)}
       220:{2,5,7}:{(186,1),(187,1),(201,1),(241,1)}
       221:{2,3,5,6}:{(187,1),(189,1),(242,1),(250,1),(251,1),(252,1),(284,1),(289,1),(297,1),(308,1),(310,1),(314,1)}
       222:{1,3,5,7}:{(188,1),(189,1),(195,1),(202,1),(251,1),(253,1),(286,1),(290,1)}
       223:{1,3,4,6}:{(189,1),(191,1),(196,1),(244,1),(252,1),(253,1),(254,1)}
       224:{1,4,7}:{(190,1),(191,1),(197,1),(245,1)}
       225:{1,4,5}:{(191,1),(193,1),(198,1),(246,1)}
       226:{1,3,5,7}:{(192,1),(193,1),(199,1),(204,1),(247,1),(255,1),(256,1),(290,1),(296,1)}
       227:{1,3,6}:{(194,1),(200,1),(205,1),(248,1)}
       228:{3,4,7}:{(195,1),(196,1),(197,1)}
       229:{3,4,5}:{(196,1),(198,1)}
       230:{2,4,5,7}:{(197,1),(198,1),(199,1),(255,1),(257,1),(258,1)}
       231:{2,3,5,6}:{(199,1),(200,1),(208,1),(256,1),(258,1),(263,1),(297,1),(310,1)}
       232:{1,2,6,7}:{(201,1),(249,1),(259,1),(314,1)}
       233:{2,3,6,7}:{(201,1),(202,1),(251,1),(259,1),(260,1),(310,1),(314,1)}
       234:{1,3,4,6,7}:{(202,1),(203,1),(206,1),(253,1),(260,1),(261,1),(295,1)}
       235:{1,4,5,7}:{(203,1),(204,1),(207,1),(261,1),(262,1)}
       236:{1,5,6}:{(204,1),(205,1),(208,1)}
       237:{3,5,7}:{(206,1),(207,1),(263,1)}
       238:{2,4,5,6}:{(207,1),(208,1),(209,1),(258,1),(262,1),(263,1),(291,1),(297,1)}
       239:{1,2,4,6}:{(210,1),(212,1),(219,1),(265,1),(266,1),(275,1),(299,1)}
       240:{1,3,5}:{(210,1),(213,1),(264,1),(266,1),(267,1)}
       241:{2,4,7}:{(211,1),(212,1),(220,1),(268,1)}
       242:{2,3,6}:{(212,1),(213,1),(266,1),(268,1)}
       243:{2,3,4}:{(213,1),(267,1)}
       244:{3,4,6}:{(215,1),(270,1),(271,1),(303,1)}
       245:{2,4,7}:{(214,1),(215,1),(224,1),(270,1)}
       246:{2,4,5}:{(215,1),(217,1),(225,1),(271,1)}
       247:{2,5,7}:{(216,1),(217,1),(226,1),(273,1)}
       248:{2,6}:{(218,1),(227,1)}
       249:{1,2,5,7}:{(219,1),(220,1),(232,1),(265,1),(274,1),(312,1)}
       250:{1,3,5,6}:{(219,1),(221,1),(266,1),(274,1),(275,1),(301,1),(306,1),(313,1)}
       251:{2,3,5,7}:{(220,1),(221,1),(222,1),(233,1),(268,1),(274,1),(276,1),(282,1),(298,1),(312,1)}
       252:{2,4,6}:{(221,1),(223,1),(275,1),(276,1),(277,1)}
       253:{1,3,4,7}:{(222,1),(223,1),(224,1),(228,1),(270,1),(276,1)}
       254:{1,3,4,5}:{(223,1),(225,1),(229,1),(271,1),(277,1),(301,1)}
       255:{1,4,5,7}:{(224,1),(225,1),(226,1),(230,1),(272,1),(279,1)}
       256:{1,3,5,6}:{(226,1),(227,1),(231,1),(236,1),(273,1),(279,1),(303,1),(306,1),(313,1)}
       257:{3,4,5,7}:{(228,1),(229,1),(230,1),(237,1),(280,1)}
       258:{2,4,6}:{(230,1),(231,1),(279,1),(280,1)}
       259:{1,3,6,7}:{(232,1),(233,1),(274,1),(281,1),(313,1)}
       260:{2,4,6,7}:{(233,1),(234,1),(276,1),(281,1),(282,1),(305,1)}
       261:{1,3,5,7}:{(234,1),(235,1),(237,1),(282,1),(283,1)}
       262:{1,4,5,6}:{(235,1),(236,1),(238,1),(279,1),(283,1)}
       263:{3,5,6}:{(237,1),(238,1),(280,1),(303,1)}
       264:{2,3,5}:{(240,1),(284,1),(285,1),(308,1)}
       265:{1,2,4,7}:{(239,1),(241,1),(249,1),(286,1),(292,1),(307,1)}
       266:{1,3,6}:{(239,1),(240,1),(242,1),(284,1),(286,1)}
       267:{1,3,4}:{(240,1),(243,1),(285,1)}
       268:{2,3,7}:{(241,1),(242,1),(286,1)}
       269:{2,3,4,6}:{(242,1),(243,1),(244,1),(252,1),(287,1),(288,1),(289,1),(310,1)}
       270:{3,4,7}:{(244,1),(245,1),(290,1)}
       271:{3,5}:{(244,1),(246,1)}
       272:{2,4,5,7}:{(245,1),(246,1),(247,1),(255,1),(290,1),(291,1)}
       273:{2,5,6}:{(247,1),(248,1),(256,1),(291,1),(314,1)}
       274:{1,3,5,7}:{(249,1),(250,1),(251,1),(259,1),(286,1),(292,1),(296,1)}
       275:{1,4,6}:{(250,1),(252,1),(292,1),(293,1)}
       276:{2,4,7}:{(251,1),(252,1),(253,1),(292,1)}
       277:{2,4,5}:{(252,1),(254,1),(289,1),(293,1),(308,1)}
       278:{1,3,4,5,7}:{(253,1),(254,1),(255,1),(257,1),(261,1),(290,1),(294,1),(295,1),(309,1)}
       279:{1,4,6}:{(255,1),(256,1),(258,1),(291,1)}
       280:{3,4,6}:{(257,1),(258,1),(263,1)}
       281:{1,4,6,7}:{(259,1),(260,1),(292,1),(296,1),(311,1)}
       282:{2,5,7}:{(260,1),(261,1),(296,1),(297,1)}
       283:{1,3,5,6}:{(261,1),(262,1),(263,1),(295,1),(297,1)}
       284:{2,3,6}:{(264,1),(266,1),(298,1),(299,1)}
       285:{2,4}:{(264,1),(267,1)}
       286:{1,3,7}:{(265,1),(266,1),(268,1),(298,1)}
       287:{1,3,4,6}:{(266,1),(267,1),(269,1),(275,1),(299,1),(300,1),(301,1),(313,1)}
       288:{2,3,4,7}:{(268,1),(269,1),(270,1),(276,1),(300,1),(302,1)}
       289:{2,3,5}:{(269,1),(271,1),(277,1),(301,1)}
       290:{3,5,7}:{(270,1),(271,1),(272,1),(303,1)}
       291:{2,4,6}:{(272,1),(273,1),(279,1),(303,1)}
       292:{1,4,7}:{(274,1),(275,1),(276,1)}
       293:{1,4,5}:{(275,1),(277,1),(301,1)}
       294:{2,4,5,7}:{(276,1),(277,1),(278,1),(282,1),(302,1),(304,1),(305,1),(312,1)}
       295:{1,3,4,6}:{(278,1),(279,1),(280,1),(283,1),(303,1),(305,1),(313,1)}
       296:{1,5,7}:{(281,1),(282,1),(306,1)}
       297:{2,5,6}:{(282,1),(283,1),(305,1),(306,1)}
       298:{2,3,7}:{(284,1),(286,1),(307,1)}
       299:{2,4,6}:{(284,1),(285,1),(287,1),(307,1),(308,1),(314,1)}
       300:{1,3,4,7}:{(286,1),(287,1),(288,1),(292,1),(307,1),(309,1)}
       301:{1,3,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{2,3,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{3,6}:{(290,1),(291,1)}
       304:{1,4,5,7}:{(292,1),(293,1),(294,1),(296,1),(309,1),(311,1)}
       305:{2,4,6}:{(294,1),(295,1),(297,1),(310,1),(311,1),(314,1)}
       306:{1,5,6}:{(296,1),(297,1),(311,1)}
       307:{2,4,7}:{(298,1),(299,1),(300,1),(312,1)}
       308:{2,5}:{(299,1),(301,1)}
       309:{1,3,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{2,3,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{1,4,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{2,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{1,3,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{2,6}:{(312,1),(313,1)}

2613 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2614 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2615 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2616 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2617 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2618 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2619 :   0:{4,5,6,7}:{(3,1),(172,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(145,1),(162,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(107,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(169,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(128,1),(153,1)}
         5:{3,4,5,7}:{(1,1),(9,1),(14,1),(158,1),(169,1)}
         6:{1,2,3,5}:{(11,1),(15,1),(40,1),(48,1)}
         7:{1,3,4,5}:{(2,1),(17,1),(18,1),(44,1),(48,1),(85,1)}
         8:{2,3,4,6}:{(2,1),(12,1),(18,1),(19,1),(93,1),(128,1)}
         9:{3,4,6,7}:{(3,1),(5,1),(21,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(164,1)}
        11:{1,2,3,6}:{(6,1),(20,1),(23,1),(70,1)}
        12:{2,3,5,6}:{(4,1),(8,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(4,1),(25,1),(27,1),(28,1),(109,1),(141,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(28,1),(147,1),(164,1)}
        15:{1,2,4}:{(6,1),(29,1)}
        16:{2,3,4}:{(29,1),(31,1)}
        17:{2,4,5}:{(7,1),(31,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(25,1),(32,1),(33,1),(66,1),(70,1),(109,1)}
        19:{2,3,4,7}:{(8,1),(26,1),(33,1),(115,1),(147,1)}
        20:{1,2,3,7}:{(11,1),(34,1),(95,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(14,1),(36,1),(37,1)}
        22:{1,5,6,7}:{(10,1),(37,1),(38,1),(155,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(34,1),(39,1),(40,1),(76,1)}
        24:{2,3,4,6}:{(16,1),(35,1),(39,1),(41,1),(51,1),(78,1),(88,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(18,1),(42,1),(43,1),(45,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(19,1),(36,1),(43,1)}
        27:{2,4,5,6}:{(13,1),(42,1),(45,1),(46,1),(82,1),(88,1),(123,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(37,1),(43,1),(46,1),(131,1),(155,1)}
        29:{1,3,4}:{(15,1),(16,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(15,1),(17,1),(40,1),(48,1),(49,1),(85,1),(92,1)}
        31:{2,3,5}:{(16,1),(17,1),(48,1),(51,1)}
        32:{2,4,6}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(43,1),(52,1),(91,1),(95,1),(131,1)}
        34:{1,2,4,7}:{(20,1),(23,1),(53,1),(54,1)}
        35:{2,3,4,7}:{(24,1),(53,1),(55,1),(73,1),(112,1)}
        36:{2,3,6,7}:{(21,1),(26,1),(56,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(56,1),(58,1)}
        38:{2,5,6,7}:{(22,1),(58,1),(59,1),(143,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(29,1),(53,1),(60,1),(61,1),(70,1),(100,1),(109,1)}
        40:{1,2,5}:{(23,1),(61,1)}
        41:{2,3,5}:{(24,1),(61,1),(63,1)}
        42:{2,5,6}:{(25,1),(32,1),(65,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(33,1),(56,1),(65,1),(67,1)}
        44:{3,4,5}:{(63,1),(66,1)}
        45:{3,5,6}:{(27,1),(66,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(58,1),(65,1),(67,1),(106,1),(112,1),(143,1)}
        47:{2,3,4}:{(29,1),(68,1)}
        48:{1,3,5}:{(29,1),(30,1),(31,1),(68,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(32,1),(62,1),(70,1),(71,1),(109,1),(114,1)}
        50:{2,3,4,5}:{(31,1),(63,1),(69,1),(72,1)}
        51:{2,3,6}:{(31,1),(32,1),(70,1),(73,1)}
        52:{2,4,7}:{(32,1),(33,1),(65,1),(73,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(74,1),(75,1),(95,1),(131,1)}
        54:{1,2,5,7}:{(34,1),(40,1),(75,1),(76,1)}
        55:{2,3,5,7}:{(35,1),(41,1),(75,1),(77,1),(78,1)}
        56:{1,3,6,7}:{(36,1),(37,1),(43,1),(79,1),(81,1)}
        57:{3,4,5,7}:{(44,1),(77,1),(80,1),(91,1),(125,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(46,1),(79,1),(81,1),(83,1)}
        59:{3,5,6,7}:{(38,1),(81,1),(83,1),(125,1)}
        60:{2,3,4,6}:{(39,1),(47,1),(74,1),(84,1),(93,1),(120,1),(128,1)}
        61:{1,3,5}:{(39,1),(40,1),(41,1),(84,1),(85,1)}
        62:{1,2,5,6}:{(40,1),(42,1),(49,1),(76,1),(86,1),(87,1),(134,1)}
        63:{2,4,5}:{(41,1),(44,1),(85,1),(88,1)}
        64:{2,3,5,6}:{(41,1),(42,1),(45,1),(51,1),(78,1),(86,1),(88,1),(89,1),(123,1)}
        65:{2,5,7}:{(42,1),(43,1),(52,1),(79,1)}
        66:{3,4,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(46,1),(81,1),(91,1)}
        68:{2,3,5}:{(47,1),(48,1),(92,1),(93,1)}
        69:{1,3,4,5}:{(48,1),(50,1),(85,1),(92,1),(94,1),(127,1)}
        70:{1,3,6}:{(48,1),(49,1),(51,1),(93,1),(95,1)}
        71:{1,2,4,7}:{(49,1),(52,1),(87,1),(95,1),(131,1),(135,1)}
        72:{2,3,4,6}:{(50,1),(51,1),(88,1),(94,1),(96,1),(97,1)}
        73:{2,3,7}:{(51,1),(52,1),(95,1)}
        74:{2,3,4,7}:{(53,1),(60,1),(98,1),(115,1),(147,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(55,1),(61,1),(98,1),(99,1),(100,1)}
        76:{1,2,6}:{(54,1),(100,1)}
        77:{2,4,5,7}:{(55,1),(57,1),(63,1),(99,1),(102,1),(112,1),(143,1)}
        78:{2,3,6}:{(55,1),(100,1),(102,1)}
        79:{2,6,7}:{(56,1),(65,1)}
        80:{3,4,6}:{(57,1),(102,1),(104,1)}
        81:{3,6,7}:{(58,1),(67,1)}
        82:{4,5,6}:{(104,1),(106,1)}
        83:{4,6,7}:{(59,1),(106,1)}
        84:{2,3,5}:{(60,1),(61,1),(107,1)}
        85:{1,4,5}:{(61,1),(63,1),(107,1),(109,1)}
        86:{1,3,5,6}:{(61,1),(62,1),(64,1),(70,1),(100,1),(108,1),(109,1),(110,1),(141,1)}
        87:{1,2,5,7}:{(62,1),(65,1),(71,1),(101,1),(110,1),(150,1)}
        88:{2,4,6}:{(63,1),(64,1),(66,1),(109,1),(112,1)}
        89:{2,3,5,7}:{(64,1),(65,1),(67,1),(73,1),(103,1),(110,1),(112,1),(143,1)}
        90:{3,4,5,6}:{(66,1),(104,1),(111,1),(113,1)}
        91:{3,4,7}:{(66,1),(67,1),(112,1)}
        92:{2,4,5}:{(68,1),(69,1),(114,1)}
        93:{2,3,6}:{(68,1),(70,1),(114,1),(115,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(72,1),(109,1),(114,1),(116,1),(117,1),(145,1)}
        95:{1,3,7}:{(70,1),(71,1),(73,1),(115,1)}
        96:{2,3,5,6}:{(72,1),(111,1),(116,1),(118,1)}
        97:{2,3,4,7}:{(72,1),(73,1),(112,1),(117,1),(118,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(84,1),(119,1),(120,1)}
        99:{1,4,5,7}:{(75,1),(77,1),(85,1),(119,1),(121,1),(131,1),(155,1)}
       100:{1,3,6}:{(75,1),(76,1),(78,1),(120,1),(121,1)}
       101:{1,2,6,7}:{(76,1),(79,1),(87,1),(122,1),(161,1)}
       102:{2,4,6}:{(77,1),(78,1),(80,1),(121,1),(123,1)}
       103:{2,3,6,7}:{(78,1),(79,1),(81,1),(89,1),(122,1),(124,1)}
       104:{3,5,6}:{(80,1),(82,1),(123,1),(125,1)}
       105:{3,4,6,7}:{(80,1),(81,1),(83,1),(91,1),(124,1),(125,1)}
       106:{4,5,7}:{(82,1),(83,1),(125,1)}
       107:{2,4,5}:{(84,1),(85,1),(127,1),(128,1)}
       108:{2,3,5,6}:{(84,1),(86,1),(93,1),(120,1),(128,1),(129,1),(134,1),(153,1),(157,1)}
       109:{1,4,6}:{(85,1),(86,1),(88,1),(128,1),(131,1)}
       110:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(122,1),(129,1),(131,1),(155,1)}
       111:{2,4,5,6}:{(88,1),(90,1),(96,1),(123,1),(130,1),(132,1)}
       112:{2,4,7}:{(88,1),(89,1),(91,1),(131,1)}
       113:{3,4,5,7}:{(90,1),(91,1),(125,1),(132,1),(133,1)}
       114:{2,4,6}:{(92,1),(93,1),(94,1),(134,1),(135,1)}
       115:{2,3,7}:{(93,1),(95,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(96,1),(130,1),(134,1),(136,1),(157,1)}
       117:{1,3,4,7}:{(94,1),(95,1),(97,1),(131,1),(135,1),(136,1),(158,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(132,1),(136,1),(137,1)}
       119:{2,4,5,7}:{(98,1),(99,1),(107,1),(138,1),(139,1),(147,1),(164,1)}
       120:{2,3,6}:{(98,1),(100,1),(139,1)}
       121:{1,4,6}:{(99,1),(100,1),(102,1),(139,1),(141,1)}
       122:{1,3,6,7}:{(100,1),(101,1),(103,1),(110,1),(140,1),(142,1)}
       123:{2,5,6}:{(102,1),(104,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(102,1),(103,1),(105,1),(112,1),(142,1),(143,1)}
       125:{3,5,7}:{(104,1),(105,1),(106,1),(143,1)}
       126:{4,5,6,7}:{(106,1),(144,1)}
       127:{3,4,5}:{(107,1),(145,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1),(147,1)}
       129:{2,3,5,7}:{(108,1),(110,1),(115,1),(140,1),(147,1),(150,1),(164,1),(166,1)}
       130:{1,4,5,6}:{(109,1),(111,1),(116,1),(141,1),(146,1),(148,1)}
       131:{1,4,7}:{(109,1),(110,1),(112,1),(147,1)}
       132:{2,4,5,7}:{(111,1),(112,1),(113,1),(118,1),(143,1),(148,1),(149,1)}
       133:{3,4,6,7}:{(113,1),(144,1),(149,1)}
       134:{2,5,6}:{(114,1),(116,1),(150,1)}
       135:{2,4,7}:{(114,1),(115,1),(117,1),(150,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(148,1),(150,1),(151,1),(166,1)}
       137:{2,3,6,7}:{(118,1),(149,1),(151,1)}
       138:{3,4,5,7}:{(119,1),(127,1),(152,1),(158,1),(169,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(152,1),(153,1)}
       140:{2,3,6,7}:{(120,1),(122,1),(129,1),(154,1),(161,1),(171,1)}
       141:{1,5,6}:{(121,1),(123,1),(153,1),(155,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(131,1),(154,1),(155,1)}
       143:{2,5,7}:{(123,1),(124,1),(125,1),(155,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(133,1),(156,1)}
       145:{3,4,6}:{(127,1),(128,1),(157,1),(158,1)}
       146:{2,4,5,6}:{(128,1),(130,1),(134,1),(153,1),(157,1),(159,1),(168,1)}
       147:{2,4,7}:{(128,1),(129,1),(131,1),(158,1)}
       148:{1,4,5,7}:{(130,1),(131,1),(132,1),(136,1),(155,1),(159,1),(160,1)}
       149:{2,4,6,7}:{(132,1),(133,1),(137,1),(156,1),(160,1)}
       150:{2,5,7}:{(134,1),(135,1),(136,1),(161,1)}
       151:{1,3,6,7}:{(136,1),(137,1),(160,1),(161,1),(171,1)}
       152:{3,4,6}:{(138,1),(139,1),(162,1)}
       153:{2,5,6}:{(139,1),(141,1),(162,1),(164,1)}
       154:{2,4,6,7}:{(139,1),(140,1),(142,1),(147,1),(163,1),(164,1)}
       155:{1,5,7}:{(141,1),(142,1),(143,1),(164,1)}
       156:{2,5,6,7}:{(143,1),(144,1),(149,1),(165,1)}
       157:{3,5,6}:{(145,1),(146,1),(166,1)}
       158:{3,4,7}:{(145,1),(147,1),(166,1)}
       159:{2,4,5,7}:{(146,1),(147,1),(148,1),(150,1),(164,1),(166,1),(167,1),(172,1)}
       160:{1,4,6,7}:{(148,1),(149,1),(151,1),(165,1),(167,1)}
       161:{2,6,7}:{(150,1),(151,1)}
       162:{3,5,6}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(154,1),(158,1),(169,1),(171,1),(174,1)}
       164:{2,5,7}:{(153,1),(154,1),(155,1),(169,1)}
       165:{1,5,6,7}:{(155,1),(156,1),(160,1),(170,1)}
       166:{3,5,7}:{(157,1),(158,1),(159,1),(171,1)}
       167:{2,4,6,7}:{(159,1),(160,1),(161,1),(170,1),(171,1),(174,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(164,1),(172,1)}
       170:{2,5,6,7}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,6,7}:{(166,1),(167,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2620 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(61,1),(63,1),(148,1),(149,1),(231,1),(237,1),(255,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(41,1),(42,1),(87,1),(98,1),(184,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(42,1),(48,1),(99,1),(111,1),(116,1),(200,1),(214,1),(217,1),(286,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(103,1),(202,1),(282,1),(289,1)}
         4:{2,4,5,6,7}:{(14,1),(15,1),(57,1),(58,1),(232,1),(329,1)}
         5:{1,2,3,6}:{(1,1),(18,1),(73,1),(236,1)}
         6:{1,2,4,7}:{(1,1),(18,1),(19,1),(144,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(253,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(332,1)}
         9:{2,3,4,7}:{(19,1),(23,1),(26,1),(145,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(146,1),(168,1),(252,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(73,1),(161,1),(165,1),(330,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(58,1),(133,1),(148,1),(152,1),(255,1),(328,1),(333,1)}
        13:{1,2,3,6,7}:{(5,1),(30,1),(31,1),(87,1),(115,1),(170,1),(188,1),(288,1),(290,1),(360,1)}
        14:{1,4,5,6,7}:{(4,1),(29,1),(32,1),(93,1),(94,1),(179,1),(293,1)}
        15:{3,5,6,7}:{(4,1),(33,1),(283,1),(363,1)}
        16:{1,2,3,5,6}:{(5,1),(30,1),(37,1),(41,1),(92,1),(98,1),(108,1),(112,1),(170,1),(188,1),(207,1),(209,1),(269,1),(298,1),(351,1)}
        17:{1,3,4,5,6}:{(7,1),(38,1),(39,1),(44,1),(82,1),(106,1),(117,1),(172,1),(211,1),(274,1),(291,1)}
        18:{1,2,4,6}:{(5,1),(6,1),(40,1),(41,1)}
        19:{1,3,4,7}:{(6,1),(9,1),(36,1),(40,1),(42,1),(196,1),(214,1)}
        20:{1,2,4,5,7}:{(6,1),(10,1),(41,1),(42,1),(43,1),(102,1),(111,1),(113,1),(184,1),(197,1),(214,1),(286,1),(299,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(202,1)}
        22:{3,4,5,7}:{(7,1),(33,1),(45,1),(303,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(40,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(365,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(367,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(42,1),(46,1),(50,1),(198,1),(301,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(94,1),(115,1),(186,1),(193,1),(200,1),(214,1),(217,1),(366,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(57,1),(128,1),(141,1),(246,1)}
        30:{1,2,3,5,7}:{(13,1),(16,1),(53,1),(56,1),(134,1),(162,1),(259,1),(261,1),(340,1),(380,1)}
        31:{1,2,4,6,7}:{(13,1),(18,1),(53,1),(55,1),(56,1),(131,1),(135,1),(220,1),(236,1),(333,1)}
        32:{1,3,5,6,7}:{(14,1),(15,1),(52,1),(54,1),(57,1),(334,1)}
        33:{3,4,6,7}:{(15,1),(22,1),(58,1)}
        34:{2,3,4,6,7}:{(23,1),(55,1),(59,1),(81,1),(132,1),(142,1),(168,1),(238,1),(245,1),(313,1),(333,1),(385,1),(413,1)}
        35:{2,3,5,6,7}:{(15,1),(25,1),(57,1),(58,1),(60,1),(133,1)}
        36:{2,3,4,7}:{(19,1),(62,1),(63,1),(247,1),(255,1)}
        37:{1,2,4,6}:{(16,1),(53,1),(66,1),(67,1),(144,1),(161,1),(260,1),(379,1)}
        38:{2,4,5,6}:{(17,1),(65,1),(68,1),(69,1),(156,1),(260,1),(332,1)}
        39:{1,3,4,5,7}:{(17,1),(22,1),(54,1),(69,1),(76,1),(124,1),(157,1),(166,1),(225,1),(263,1),(320,1),(334,1)}
        40:{1,3,4,6}:{(18,1),(19,1),(23,1),(62,1),(70,1),(73,1),(161,1)}
        41:{1,2,5}:{(18,1),(70,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(26,1),(63,1),(70,1),(73,1),(248,1),(340,1)}
        43:{1,2,4,6}:{(20,1),(27,1),(71,1),(73,1),(151,1),(161,1),(236,1),(330,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(161,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(58,1),(76,1),(255,1)}
        46:{2,3,5}:{(23,1),(70,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(390,1)}
        49:{2,3,4,5,7}:{(26,1),(72,1),(77,1),(80,1),(140,1),(168,1),(169,1),(237,1),(250,1),(342,1)}
        50:{2,3,6}:{(26,1),(27,1),(73,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(239,1),(252,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(193,1),(294,1)}
        53:{1,2,4,7}:{(30,1),(37,1),(88,1),(214,1),(309,1),(401,1)}
        54:{1,3,4,6,7}:{(32,1),(33,1),(39,1),(84,1),(90,1),(94,1),(179,1),(186,1),(193,1),(283,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(40,1),(85,1),(88,1),(91,1),(115,1),(183,1),(188,1),(190,1),(214,1),(268,1),(287,1),(360,1),(366,1),(401,1)}
        56:{1,2,5,7}:{(31,1),(41,1),(91,1),(92,1),(269,1),(367,1)}
        57:{2,5,6,7}:{(32,1),(90,1),(93,1),(367,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(45,1),(94,1)}
        59:{2,3,5,7}:{(34,1),(46,1),(91,1),(95,1),(96,1),(294,1),(349,1),(367,1)}
        60:{1,3,5,6,7}:{(35,1),(48,1),(93,1),(94,1),(97,1),(186,1),(193,1)}
        61:{2,3,4,5}:{(99,1),(100,1),(116,1),(208,1),(273,1),(296,1)}
        62:{2,3,4,6}:{(36,1),(40,1),(101,1),(103,1),(202,1)}
        63:{2,3,5,7}:{(36,1),(42,1),(101,1),(102,1),(103,1),(296,1),(370,1)}
        64:{1,2,3,6}:{(87,1),(98,1),(104,1),(298,1)}
        65:{2,3,5,6}:{(38,1),(100,1),(106,1),(107,1),(117,1),(274,1)}
        66:{1,3,4,6}:{(37,1),(88,1),(105,1),(108,1),(188,1),(196,1),(298,1)}
        67:{1,2,4,5}:{(37,1),(41,1),(108,1),(111,1),(208,1),(269,1),(350,1)}
        68:{1,4,5,6}:{(38,1),(106,1),(110,1),(306,1),(365,1)}
        69:{2,4,5,7}:{(38,1),(39,1),(90,1),(107,1),(110,1),(210,1),(309,1),(367,1)}
        70:{1,3,5}:{(40,1),(41,1),(46,1),(101,1),(111,1)}
        71:{1,2,5,6}:{(41,1),(43,1),(47,1),(112,1),(113,1),(204,1),(365,1)}
        72:{1,3,4,5,7}:{(42,1),(49,1),(102,1),(111,1),(114,1),(201,1),(214,1),(215,1),(286,1),(297,1),(303,1),(372,1)}
        73:{1,3,6}:{(42,1),(43,1),(50,1),(103,1)}
        74:{1,2,4,6,7}:{(43,1),(51,1),(113,1),(115,1),(205,1),(214,1),(288,1),(299,1),(366,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(94,1),(118,1),(214,1)}
        77:{2,4,5}:{(46,1),(111,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(112,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(114,1),(119,1),(121,1),(192,1),(289,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(115,1),(120,1),(193,1),(301,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(244,1),(411,1)}
        83:{2,3,4,5,7}:{(61,1),(126,1),(127,1),(140,1),(148,1),(223,1),(237,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(55,1),(62,1),(129,1),(132,1),(152,1),(221,1),(233,1),(238,1),(255,1),(326,1),(328,1),(333,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(57,1),(128,1),(130,1),(133,1),(223,1)}
        87:{1,2,3,7}:{(64,1),(131,1),(340,1)}
        88:{1,3,4,7}:{(53,1),(66,1),(132,1),(134,1),(340,1)}
        89:{1,2,4,5,7}:{(53,1),(56,1),(67,1),(134,1),(135,1),(137,1),(237,1)}
        90:{2,4,6,7}:{(54,1),(57,1),(69,1),(133,1),(136,1),(239,1)}
        91:{1,3,5,7}:{(55,1),(56,1),(59,1),(70,1),(129,1),(137,1),(138,1),(314,1),(390,1)}
        92:{1,2,5,6}:{(56,1),(135,1),(138,1),(236,1),(332,1)}
        93:{1,5,6,7}:{(57,1),(136,1),(390,1)}
        94:{1,4,6,7}:{(58,1),(60,1),(76,1),(141,1)}
        95:{2,4,5,7}:{(59,1),(77,1),(137,1),(140,1),(142,1),(168,1),(377,1),(413,1)}
        96:{2,3,5,6}:{(59,1),(138,1),(142,1),(238,1),(244,1),(332,1)}
        97:{2,5,6,7}:{(60,1),(79,1),(141,1),(239,1)}
        98:{1,2,3,5}:{(64,1),(144,1),(154,1),(248,1)}
        99:{1,3,4,5}:{(61,1),(146,1),(147,1),(248,1),(257,1)}
       100:{2,3,4,6}:{(61,1),(65,1),(147,1),(148,1),(165,1),(260,1),(319,1),(338,1)}
       101:{2,3,5}:{(62,1),(70,1),(149,1)}
       102:{2,4,5,7}:{(63,1),(72,1),(149,1),(151,1),(255,1),(256,1),(337,1),(393,1)}
       103:{2,3,6}:{(63,1),(73,1),(151,1)}
       104:{1,2,4,6}:{(64,1),(131,1),(144,1),(153,1),(154,1),(236,1)}
       105:{2,3,4,6}:{(66,1),(132,1),(145,1),(153,1),(155,1),(238,1),(247,1),(251,1),(260,1),(338,1)}
       106:{1,3,5,6}:{(65,1),(68,1),(147,1),(156,1),(157,1)}
       107:{2,3,5,7}:{(65,1),(69,1),(133,1),(148,1),(157,1),(166,1),(320,1)}
       108:{1,3,5}:{(66,1),(67,1),(155,1)}
       109:{1,2,4,5,6}:{(67,1),(68,1),(71,1),(75,1),(135,1),(156,1),(159,1),(160,1),(161,1),(224,1),(242,1),(249,1),(254,1),(260,1),(315,1),(332,1),(345,1),(379,1),(392,1),(412,1)}
       110:{1,4,5,7}:{(68,1),(69,1),(136,1),(157,1),(346,1),(390,1)}
       111:{1,4,5}:{(70,1),(77,1),(149,1),(161,1)}
       112:{1,3,5,6}:{(70,1),(71,1),(73,1),(78,1),(150,1),(161,1),(162,1)}
       113:{1,2,5,7}:{(71,1),(74,1),(79,1),(162,1),(256,1),(390,1)}
       114:{1,3,4,6}:{(72,1),(73,1),(80,1),(151,1),(161,1),(163,1),(253,1),(330,1)}
       115:{1,3,6,7}:{(73,1),(74,1),(81,1),(152,1),(162,1),(340,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(141,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(161,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(162,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(163,1),(167,1),(169,1),(244,1),(332,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(164,1),(168,1),(169,1),(245,1),(267,1),(333,1),(342,1),(395,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(294,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(98,1),(170,1),(174,1),(184,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(99,1),(176,1),(177,1),(200,1),(272,1),(273,1),(277,1),(286,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(192,1),(289,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(91,1),(101,1),(180,1),(181,1),(270,1),(363,1),(367,1)}
       130:{1,3,5,6,7}:{(86,1),(93,1),(179,1),(182,1),(186,1),(272,1),(283,1)}
       131:{1,2,4,7}:{(87,1),(104,1),(183,1),(184,1)}
       132:{2,3,4,7}:{(88,1),(105,1),(183,1),(185,1),(301,1),(309,1),(370,1)}
       133:{2,3,6,7}:{(90,1),(107,1),(186,1),(193,1),(283,1)}
       134:{1,3,5,7}:{(88,1),(89,1),(108,1),(185,1),(188,1)}
       135:{1,2,4,6}:{(89,1),(92,1),(188,1),(190,1),(289,1)}
       136:{1,4,6,7}:{(90,1),(93,1),(110,1),(186,1)}
       137:{1,4,5,7}:{(91,1),(95,1),(111,1),(180,1),(190,1),(214,1),(350,1),(401,1)}
       138:{1,3,5,6}:{(91,1),(92,1),(96,1),(181,1),(188,1),(190,1),(287,1),(365,1)}
       139:{1,2,5,6,7}:{(92,1),(93,1),(97,1),(113,1),(182,1),(189,1),(191,1),(288,1),(305,1),(352,1),(367,1),(408,1),(423,1)}
       140:{3,4,5,7}:{(95,1),(116,1),(192,1),(217,1),(294,1),(397,1),(420,1)}
       141:{2,4,6,7}:{(94,1),(97,1),(118,1),(193,1)}
       142:{2,4,6}:{(95,1),(96,1),(190,1),(192,1)}
       143:{2,3,5,6,7}:{(96,1),(97,1),(120,1),(191,1),(193,1),(195,1),(290,1),(294,1),(367,1),(399,1),(423,1),(426,1)}
       144:{1,2,4}:{(98,1),(196,1)}
       145:{2,3,4}:{(196,1),(198,1)}
       146:{2,4,5}:{(99,1),(198,1),(199,1)}
       147:{1,3,4,6}:{(99,1),(100,1),(106,1),(199,1),(200,1),(298,1),(306,1)}
       148:{2,3,4,7}:{(100,1),(107,1),(200,1),(217,1),(309,1),(356,1),(370,1)}
       149:{2,4,5}:{(101,1),(111,1),(201,1),(202,1)}
       150:{2,3,5,6}:{(101,1),(103,1),(112,1),(202,1),(203,1),(204,1),(302,1)}
       151:{2,4,6}:{(102,1),(103,1),(114,1),(204,1)}
       152:{2,3,6,7}:{(103,1),(115,1),(203,1),(205,1),(370,1),(374,1)}
       153:{1,3,4,6}:{(104,1),(105,1),(183,1),(196,1),(206,1),(287,1),(298,1),(306,1)}
       154:{1,2,5}:{(104,1),(206,1)}
       155:{2,3,5}:{(105,1),(108,1),(206,1),(208,1)}
       156:{2,5,6}:{(106,1),(199,1),(210,1)}
       157:{1,3,5,7}:{(106,1),(107,1),(110,1),(186,1),(200,1),(210,1)}
       158:{1,3,4,5}:{(108,1),(111,1),(116,1),(201,1),(208,1),(211,1),(273,1),(350,1),(397,1)}
       159:{1,3,5,6}:{(108,1),(109,1),(117,1),(188,1),(209,1),(211,1),(212,1),(274,1),(298,1),(302,1),(419,1)}
       160:{1,2,4,5,7}:{(109,1),(110,1),(113,1),(118,1),(189,1),(210,1),(212,1),(214,1),(275,1),(293,1),(299,1),(304,1),(309,1),(352,1),(367,1),(375,1),(401,1),(409,1),(421,1)}
       161:{1,4,6}:{(111,1),(112,1),(119,1),(202,1),(214,1)}
       162:{1,3,5,7}:{(112,1),(113,1),(115,1),(120,1),(203,1),(214,1)}
       163:{1,3,5,6}:{(114,1),(121,1),(204,1),(213,1),(215,1),(302,1),(365,1)}
       164:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(205,1),(214,1),(215,1),(303,1),(311,1),(366,1),(372,1),(374,1),(410,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(193,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(213,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(214,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(215,1),(218,1),(294,1),(367,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(236,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(244,1),(332,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(144,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(145,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(146,1),(228,1),(229,1),(252,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(330,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(133,1),(148,1),(223,1),(230,1),(245,1),(333,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(137,1),(149,1),(231,1),(233,1),(255,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(138,1),(233,1),(238,1),(327,1),(332,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(239,1),(318,1)}
       183:{1,3,4,7}:{(131,1),(132,1),(153,1),(235,1),(340,1),(346,1)}
       184:{1,2,5,7}:{(131,1),(154,1),(235,1),(236,1)}
       185:{2,3,5,7}:{(132,1),(134,1),(155,1),(235,1),(237,1),(238,1)}
       186:{1,3,6,7}:{(133,1),(136,1),(157,1),(239,1)}
       187:{1,3,4,5,7}:{(134,1),(137,1),(140,1),(158,1),(231,1),(237,1),(240,1),(263,1),(334,1)}
       188:{1,3,6}:{(134,1),(135,1),(238,1)}
       189:{1,2,4,6,7}:{(135,1),(136,1),(139,1),(141,1),(160,1),(232,1),(239,1),(241,1),(243,1),(333,1),(344,1),(396,1),(418,1),(425,1)}
       190:{1,4,6}:{(137,1),(138,1),(142,1),(233,1)}
       191:{1,3,5,6,7}:{(138,1),(139,1),(143,1),(162,1),(234,1),(241,1),(243,1),(331,1),(334,1),(380,1),(390,1)}
       192:{3,4,6}:{(140,1),(142,1),(244,1)}
       193:{3,6,7}:{(141,1),(166,1)}
       194:{2,4,5,6}:{(142,1),(242,1),(244,1),(246,1),(332,1)}
       195:{2,4,6,7}:{(142,1),(143,1),(168,1),(243,1),(245,1),(246,1),(413,1)}
       196:{1,3,4}:{(144,1),(145,1),(247,1),(248,1)}
       197:{1,2,4,5}:{(144,1),(146,1),(154,1),(248,1),(249,1),(257,1),(337,1)}
       198:{2,3,5}:{(145,1),(146,1),(248,1),(251,1)}
       199:{2,4,6}:{(146,1),(147,1),(156,1),(251,1),(252,1)}
       200:{1,3,4,7}:{(147,1),(148,1),(157,1),(252,1),(340,1),(346,1)}
       201:{3,4,5}:{(149,1),(253,1)}
       202:{2,4,6}:{(149,1),(150,1),(161,1),(253,1),(255,1)}
       203:{2,3,5,7}:{(150,1),(152,1),(162,1),(255,1),(256,1),(343,1)}
       204:{2,5,6}:{(151,1),(163,1),(256,1)}
       205:{2,4,6,7}:{(151,1),(152,1),(164,1),(255,1),(256,1),(393,1),(418,1)}
       206:{1,3,5}:{(153,1),(154,1),(155,1),(257,1)}
       207:{1,2,5,6}:{(154,1),(156,1),(236,1),(249,1),(258,1),(259,1),(392,1)}
       208:{2,4,5}:{(155,1),(158,1),(257,1),(260,1)}
       209:{2,3,5,6}:{(155,1),(156,1),(159,1),(238,1),(251,1),(258,1),(260,1),(261,1),(332,1),(338,1),(392,1)}
       210:{2,5,7}:{(156,1),(157,1),(239,1),(252,1)}
       211:{1,3,4,6}:{(158,1),(159,1),(161,1),(165,1),(253,1),(260,1),(263,1),(319,1),(379,1),(411,1)}
       212:{1,3,5,7}:{(159,1),(160,1),(166,1),(241,1),(261,1),(263,1),(320,1),(340,1),(343,1),(424,1)}
       213:{1,4,5,6}:{(161,1),(163,1),(167,1),(254,1),(264,1)}
       214:{1,4,7}:{(161,1),(162,1),(168,1),(255,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(169,1),(256,1),(264,1),(343,1),(390,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(244,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(264,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(265,1),(267,1),(336,1),(391,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(365,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(294,1),(367,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(196,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(197,1),(269,1),(277,1),(278,1),(286,1),(299,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(198,1),(270,1),(277,1),(280,1),(301,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(186,1),(200,1),(272,1),(281,1),(283,1),(356,1),(360,1),(366,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(201,1),(273,1),(282,1),(303,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(190,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(191,1),(203,1),(283,1),(285,1),(290,1),(305,1),(354,1),(363,1),(367,1),(374,1)}
       235:{1,3,5,7}:{(183,1),(184,1),(185,1),(206,1),(286,1),(287,1)}
       236:{1,2,6}:{(184,1),(287,1)}
       237:{2,4,5,7}:{(185,1),(187,1),(208,1),(286,1),(289,1),(309,1),(367,1)}
       238:{2,3,6}:{(185,1),(188,1),(287,1),(289,1)}
       239:{2,6,7}:{(186,1),(210,1)}
       240:{1,3,4,6}:{(187,1),(188,1),(190,1),(192,1),(282,1),(289,1),(291,1)}
       241:{1,3,6,7}:{(188,1),(189,1),(193,1),(212,1),(283,1),(290,1),(374,1),(426,1)}
       242:{1,4,5,6}:{(190,1),(194,1),(284,1),(291,1),(293,1),(365,1)}
       243:{1,4,6,7}:{(190,1),(191,1),(195,1),(214,1),(285,1),(293,1),(401,1)}
       244:{3,5,6}:{(192,1),(194,1),(294,1)}
       245:{3,4,6,7}:{(192,1),(193,1),(195,1),(217,1),(294,1),(420,1),(426,1)}
       246:{2,4,5,7}:{(194,1),(195,1),(293,1),(294,1),(367,1)}
       247:{2,3,4}:{(196,1),(296,1)}
       248:{1,3,5}:{(196,1),(197,1),(198,1),(296,1),(298,1)}
       249:{1,2,4,6}:{(197,1),(199,1),(207,1),(298,1),(299,1),(306,1),(369,1)}
       250:{2,3,4,5}:{(198,1),(201,1),(208,1),(297,1),(300,1),(397,1)}
       251:{2,3,6}:{(198,1),(199,1),(298,1),(301,1)}
       252:{2,4,7}:{(199,1),(200,1),(210,1),(301,1)}
       253:{3,4,6}:{(201,1),(202,1),(302,1),(303,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(213,1),(302,1),(304,1)}
       255:{2,4,7}:{(202,1),(203,1),(214,1),(303,1)}
       256:{2,5,7}:{(204,1),(205,1),(215,1)}
       257:{1,4,5}:{(206,1),(208,1),(306,1)}
       258:{1,3,5,6}:{(206,1),(207,1),(209,1),(287,1),(298,1),(306,1),(307,1),(365,1)}
       259:{1,2,5,7}:{(207,1),(210,1),(288,1),(299,1),(307,1),(409,1)}
       260:{2,4,6}:{(208,1),(209,1),(211,1),(306,1),(309,1)}
       261:{2,3,5,7}:{(209,1),(210,1),(212,1),(290,1),(301,1),(307,1),(309,1),(367,1),(370,1),(409,1)}
       262:{1,3,4,5,6}:{(211,1),(213,1),(216,1),(291,1),(302,1),(308,1),(310,1),(355,1),(371,1),(400,1),(419,1)}
       263:{1,3,4,7}:{(211,1),(212,1),(214,1),(217,1),(303,1),(309,1),(356,1),(401,1),(420,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(215,1),(218,1),(304,1),(311,1)}
       265:{1,3,5,6,7}:{(215,1),(219,1),(305,1),(311,1),(374,1),(408,1),(410,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(294,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(311,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(390,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(247,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(248,1),(314,1),(321,1),(323,1),(340,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(236,1),(315,1),(323,1),(330,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(237,1),(250,1),(316,1),(322,1),(325,1),(342,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(239,1),(252,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(242,1),(327,1),(329,1),(332,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(255,1),(328,1),(329,1),(382,1)}
       286:{1,4,5,7}:{(235,1),(237,1),(257,1),(330,1),(346,1),(390,1)}
       287:{1,3,6}:{(235,1),(236,1),(238,1),(330,1)}
       288:{1,2,6,7}:{(236,1),(239,1),(259,1),(331,1),(418,1)}
       289:{2,4,6}:{(237,1),(238,1),(240,1),(330,1),(332,1)}
       290:{2,3,6,7}:{(238,1),(239,1),(241,1),(261,1),(331,1),(333,1),(418,1)}
       291:{1,3,5,6}:{(240,1),(242,1),(244,1),(327,1),(332,1),(334,1)}
       292:{1,3,4,6,7}:{(240,1),(241,1),(243,1),(245,1),(263,1),(328,1),(333,1),(334,1)}
       293:{1,4,5,7}:{(242,1),(243,1),(246,1),(329,1),(334,1),(390,1)}
       294:{3,5,7}:{(244,1),(245,1),(246,1)}
       295:{2,4,5,6,7}:{(246,1),(267,1),(335,1),(336,1),(391,1),(425,1)}
       296:{2,3,5}:{(247,1),(248,1),(337,1),(338,1)}
       297:{1,3,4,5}:{(248,1),(250,1),(257,1),(337,1),(339,1)}
       298:{1,3,6}:{(248,1),(249,1),(251,1),(338,1),(340,1)}
       299:{1,2,4,7}:{(249,1),(252,1),(259,1),(340,1),(346,1),(393,1)}
       300:{2,3,4,6}:{(250,1),(251,1),(253,1),(260,1),(339,1),(341,1),(342,1),(411,1)}
       301:{2,3,7}:{(251,1),(252,1),(340,1)}
       302:{3,5,6}:{(253,1),(254,1),(343,1)}
       303:{3,4,7}:{(253,1),(255,1),(343,1)}
       304:{2,4,5,7}:{(254,1),(255,1),(256,1),(264,1),(343,1),(344,1)}
       305:{2,5,6,7}:{(256,1),(265,1),(344,1),(418,1)}
       306:{1,4,6}:{(257,1),(258,1),(260,1),(346,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(331,1),(340,1),(346,1),(390,1)}
       308:{2,4,5,6}:{(260,1),(262,1),(332,1),(341,1),(345,1),(347,1),(392,1)}
       309:{2,4,7}:{(260,1),(261,1),(263,1),(346,1)}
       310:{1,3,4,5,7}:{(262,1),(263,1),(264,1),(266,1),(334,1),(343,1),(347,1),(348,1),(383,1),(394,1),(414,1),(424,1)}
       311:{1,4,6,7}:{(264,1),(265,1),(267,1),(344,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(336,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(365,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(296,1),(349,1),(357,1),(358,1),(370,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(286,1),(297,1),(350,1),(357,1),(359,1),(372,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(288,1),(299,1),(352,1),(360,1),(366,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(289,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(301,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(303,1),(356,1),(363,1),(374,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(293,1),(363,1),(367,1)}
       330:{1,4,6}:{(286,1),(287,1),(289,1),(365,1)}
       331:{1,3,6,7}:{(287,1),(288,1),(290,1),(307,1),(366,1)}
       332:{2,5,6}:{(289,1),(291,1),(365,1),(367,1)}
       333:{2,4,6,7}:{(289,1),(290,1),(292,1),(309,1),(366,1),(367,1)}
       334:{1,3,5,7}:{(291,1),(292,1),(293,1),(294,1),(363,1),(367,1)}
       335:{1,4,5,6,7}:{(293,1),(295,1),(311,1),(364,1),(368,1),(408,1),(422,1)}
       336:{3,5,6,7}:{(294,1),(295,1),(312,1),(426,1)}
       337:{2,4,5}:{(296,1),(297,1),(369,1)}
       338:{2,3,6}:{(296,1),(298,1),(369,1),(370,1)}
       339:{1,3,4,6}:{(297,1),(298,1),(300,1),(306,1),(369,1),(371,1),(372,1)}
       340:{1,3,7}:{(298,1),(299,1),(301,1),(370,1)}
       341:{2,3,5,6}:{(300,1),(302,1),(308,1),(371,1),(373,1),(419,1)}
       342:{2,3,4,7}:{(300,1),(301,1),(303,1),(309,1),(372,1),(373,1),(420,1)}
       343:{3,5,7}:{(302,1),(303,1),(304,1),(374,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(311,1),(374,1)}
       345:{1,4,5,6}:{(306,1),(308,1),(365,1),(371,1),(375,1)}
       346:{1,4,7}:{(306,1),(307,1),(309,1)}
       347:{2,4,5,7}:{(308,1),(309,1),(310,1),(367,1),(373,1),(375,1),(376,1),(409,1)}
       348:{1,3,4,6,7}:{(310,1),(311,1),(312,1),(368,1),(374,1),(376,1),(403,1),(410,1),(422,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(390,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(337,1),(377,1),(384,1),(393,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(330,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(340,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(332,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(333,1),(342,1),(382,1),(387,1),(388,1),(395,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(335,1),(344,1),(389,1),(391,1),(415,1)}
       365:{1,5,6}:{(330,1),(332,1),(390,1)}
       366:{1,4,6,7}:{(330,1),(331,1),(333,1),(346,1),(390,1)}
       367:{2,5,7}:{(332,1),(333,1),(334,1),(390,1)}
       368:{1,3,5,6,7}:{(334,1),(335,1),(336,1),(348,1),(389,1),(391,1)}
       369:{2,4,6}:{(337,1),(338,1),(339,1),(392,1),(393,1)}
       370:{2,3,7}:{(338,1),(340,1),(393,1)}
       371:{1,3,5,6}:{(339,1),(341,1),(345,1),(392,1),(394,1)}
       372:{1,3,4,7}:{(339,1),(340,1),(342,1),(346,1),(393,1),(394,1)}
       373:{2,3,5,7}:{(341,1),(342,1),(343,1),(347,1),(394,1),(395,1),(424,1)}
       374:{3,6,7}:{(343,1),(344,1)}
       375:{1,4,5,7}:{(345,1),(346,1),(347,1),(390,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(347,1),(348,1),(391,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(370,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(365,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(366,1),(372,1),(401,1),(405,1),(406,1),(410,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(367,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(374,1),(403,1)}
       390:{1,5,7}:{(365,1),(366,1),(367,1)}
       391:{2,5,6,7}:{(367,1),(368,1),(376,1),(408,1)}
       392:{2,5,6}:{(369,1),(371,1),(409,1)}
       393:{2,4,7}:{(369,1),(370,1),(372,1),(409,1)}
       394:{1,3,5,7}:{(371,1),(372,1),(373,1),(375,1),(409,1),(410,1)}
       395:{2,3,6,7}:{(373,1),(374,1),(376,1),(410,1),(426,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(408,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(393,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(390,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(391,1),(395,1),(415,1),(417,1)}
       408:{1,5,6,7}:{(390,1),(391,1),(396,1)}
       409:{2,5,7}:{(392,1),(393,1),(394,1),(418,1)}
       410:{1,3,6,7}:{(394,1),(395,1),(396,1),(418,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(408,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(409,1),(410,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2621 :   0:{1,2,3,5,6}:{(1,1),(2,1),(10,1),(35,1),(45,1),(47,1),(49,1),(105,1),(117,1),(203,1),(205,1),(293,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(23,1),(25,1),(79,1),(166,1),(251,1),(333,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(65,1),(68,1),(332,1)}
         3:{1,3,4,6}:{(2,1),(8,1),(9,1),(10,1),(47,1),(104,1),(203,1)}
         4:{1,2,3,6,7}:{(1,1),(11,1),(47,1),(105,1),(123,1),(216,1),(294,1),(302,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(9,1),(111,1),(369,1)}
         6:{1,2,4,5}:{(2,1),(10,1),(36,1),(205,1),(292,1)}
         7:{1,3,4,5,6}:{(14,1),(15,1),(38,1),(54,1),(112,1),(227,1),(229,1),(313,1)}
         8:{2,3,4,6}:{(3,1),(19,1),(20,1),(21,1),(68,1),(78,1),(84,1),(139,1),(176,1),(237,1)}
         9:{1,3,4,7}:{(3,1),(5,1),(20,1),(23,1),(251,1)}
        10:{1,3,5}:{(3,1),(6,1),(21,1)}
        11:{1,2,4,6,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(154,1),(160,1),(341,1),(404,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(23,1),(25,1),(26,1),(67,1),(80,1)}
        13:{1,2,4,5,6}:{(6,1),(24,1),(26,1),(27,1),(30,1),(61,1),(68,1),(90,1),(145,1),(156,1),(159,1),(161,1),(254,1),(271,1),(323,1),(332,1)}
        14:{2,4,5,6}:{(7,1),(29,1),(30,1),(31,1),(68,1),(90,1),(159,1)}
        15:{1,3,4,5,7}:{(7,1),(31,1),(32,1),(70,1),(91,1),(162,1),(274,1),(275,1),(351,1)}
        16:{1,3,4,5,6}:{(33,1),(34,1),(38,1),(99,1),(112,1),(284,1),(286,1),(359,1)}
        17:{1,3,4,5}:{(10,1),(36,1),(38,1),(292,1),(310,1),(356,1)}
        18:{1,2,3,6}:{(35,1),(39,1),(40,1),(203,1)}
        19:{1,3,4,6}:{(8,1),(40,1),(41,1),(42,1),(104,1),(109,1),(119,1),(203,1)}
        20:{2,3,4,7}:{(8,1),(9,1),(41,1),(44,1),(111,1),(224,1),(281,1)}
        21:{2,3,5}:{(8,1),(10,1),(36,1),(42,1)}
        22:{1,3,4,6,7}:{(9,1),(11,1),(43,1),(46,1),(47,1),(124,1),(201,1),(294,1),(303,1),(369,1),(377,1),(379,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(12,1),(44,1),(47,1)}
        24:{1,3,5,6}:{(10,1),(13,1),(38,1),(45,1),(47,1),(48,1),(203,1),(313,1),(359,1)}
        25:{1,2,5,7}:{(11,1),(46,1),(49,1),(205,1),(211,1)}
        26:{1,2,4,6}:{(12,1),(47,1),(49,1),(110,1),(124,1)}
        27:{1,2,4,5,7}:{(13,1),(48,1),(50,1),(56,1),(101,1),(111,1),(134,1),(196,1),(207,1),(211,1),(212,1),(298,1),(314,1),(360,1),(369,1)}
        28:{2,3,4,5}:{(36,1),(51,1),(53,1),(189,1),(310,1)}
        29:{2,3,5,6}:{(14,1),(53,1),(54,1),(55,1),(313,1)}
        30:{1,4,5,6}:{(14,1),(54,1),(56,1),(109,1),(208,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(55,1),(56,1),(57,1),(111,1),(134,1),(211,1)}
        32:{1,3,4,6,7}:{(15,1),(57,1),(58,1),(135,1),(232,1),(233,1),(317,1)}
        33:{2,4,5,6}:{(16,1),(60,1),(61,1),(62,1),(68,1),(145,1),(159,1)}
        34:{1,3,4,5,7}:{(16,1),(62,1),(63,1),(70,1),(146,1),(162,1),(326,1),(327,1),(391,1)}
        35:{1,2,3,5}:{(18,1),(65,1),(73,1),(152,1)}
        36:{2,4,5}:{(17,1),(21,1),(66,1),(68,1)}
        37:{1,3,4,5,7}:{(17,1),(23,1),(67,1),(69,1),(70,1),(80,1),(162,1),(170,1)}
        38:{1,3,4,6}:{(17,1),(24,1),(68,1),(70,1),(332,1),(348,1),(388,1)}
        39:{1,2,3,7}:{(18,1),(72,1),(251,1)}
        40:{1,2,4,6}:{(18,1),(19,1),(65,1),(72,1),(73,1),(165,1)}
        41:{1,3,4,7}:{(19,1),(20,1),(72,1),(75,1),(158,1),(251,1)}
        42:{1,3,5}:{(19,1),(21,1),(66,1),(73,1)}
        43:{2,3,4,6,7}:{(20,1),(22,1),(74,1),(77,1),(78,1),(160,1),(171,1),(174,1),(235,1),(260,1),(267,1),(270,1),(322,1),(343,1),(346,1),(349,1),(389,1)}
        44:{2,3,5,7}:{(20,1),(21,1),(23,1),(67,1),(75,1),(78,1)}
        45:{2,3,5,6}:{(21,1),(24,1),(68,1),(76,1),(78,1),(79,1),(90,1),(145,1),(159,1),(176,1),(237,1)}
        46:{1,3,5,7}:{(22,1),(25,1),(77,1),(80,1),(81,1),(249,1),(403,1)}
        47:{1,3,6}:{(23,1),(26,1),(78,1)}
        48:{1,3,5,7}:{(24,1),(27,1),(70,1),(79,1),(82,1),(251,1),(351,1),(391,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(81,1),(159,1),(404,1)}
        50:{1,2,4,6,7}:{(26,1),(27,1),(82,1),(83,1),(93,1),(148,1),(160,1),(173,1),(183,1),(244,1),(276,1),(328,1)}
        51:{1,3,4,5}:{(28,1),(66,1),(85,1),(87,1),(152,1)}
        52:{2,3,4,5,7}:{(28,1),(67,1),(86,1),(88,1),(89,1),(170,1),(182,1),(236,1),(264,1),(320,1),(347,1),(389,1),(409,1)}
        53:{2,3,4,6}:{(28,1),(29,1),(68,1),(87,1),(89,1),(237,1),(348,1)}
        54:{1,3,5,6}:{(29,1),(30,1),(87,1),(90,1),(91,1)}
        55:{2,3,5,7}:{(29,1),(31,1),(89,1),(91,1),(92,1),(351,1)}
        56:{1,4,5,7}:{(30,1),(31,1),(91,1),(93,1),(158,1),(257,1)}
        57:{2,4,6,7}:{(31,1),(32,1),(92,1),(93,1),(94,1),(183,1)}
        58:{1,3,5,6,7}:{(32,1),(94,1),(95,1),(162,1),(187,1)}
        59:{2,3,4,5}:{(36,1),(96,1),(98,1),(127,1),(356,1)}
        60:{2,3,5,6}:{(33,1),(98,1),(99,1),(100,1),(359,1)}
        61:{1,4,5,6}:{(33,1),(99,1),(101,1),(109,1),(208,1)}
        62:{2,4,5,7}:{(33,1),(34,1),(100,1),(101,1),(102,1),(111,1),(196,1),(211,1)}
        63:{1,3,4,6,7}:{(34,1),(102,1),(103,1),(197,1),(289,1),(290,1),(363,1)}
        64:{1,2,3,5,7}:{(35,1),(39,1),(105,1),(106,1),(116,1),(202,1),(205,1),(302,1),(366,1),(376,1)}
        65:{1,2,4}:{(35,1),(104,1)}
        66:{1,4,5}:{(36,1),(42,1),(109,1)}
        67:{2,4,5,7}:{(36,1),(37,1),(44,1),(108,1),(110,1),(111,1),(211,1)}
        68:{2,4,6}:{(36,1),(38,1),(45,1),(109,1),(111,1)}
        69:{1,3,4,6}:{(37,1),(47,1),(110,1),(112,1),(124,1),(220,1)}
        70:{1,3,4,7}:{(38,1),(48,1),(111,1),(369,1),(382,1),(415,1)}
        71:{1,2,3,6,7}:{(39,1),(105,1),(114,1),(115,1),(294,1),(305,1),(378,1),(426,1)}
        72:{1,2,4,7}:{(39,1),(40,1),(41,1),(116,1)}
        73:{1,2,5}:{(40,1),(42,1)}
        74:{1,3,4,6,7}:{(41,1),(43,1),(115,1),(118,1),(119,1),(201,1),(209,1),(213,1),(218,1),(294,1),(305,1),(369,1)}
        75:{1,3,5,7}:{(41,1),(42,1),(44,1),(108,1),(116,1),(119,1)}
        76:{1,3,5,6}:{(42,1),(45,1),(109,1),(117,1),(119,1),(120,1),(203,1),(208,1)}
        77:{2,3,5,7}:{(43,1),(46,1),(118,1),(121,1),(122,1),(211,1),(222,1),(279,1),(301,1),(375,1)}
        78:{2,3,6}:{(44,1),(47,1),(110,1),(119,1)}
        79:{2,3,5,7}:{(45,1),(48,1),(111,1),(120,1),(123,1),(134,1),(196,1),(211,1),(224,1),(281,1)}
        80:{1,4,5,7}:{(46,1),(121,1),(124,1),(292,1),(369,1)}
        81:{1,3,5,6}:{(46,1),(47,1),(49,1),(122,1),(124,1),(374,1),(377,1)}
        82:{1,3,6,7}:{(47,1),(48,1),(50,1),(123,1),(317,1),(363,1)}
        83:{1,2,5,6,7}:{(49,1),(50,1),(125,1),(137,1),(199,1),(211,1),(231,1),(288,1),(298,1),(426,1)}
        84:{2,3,4}:{(104,1),(127,1)}
        85:{2,4,5}:{(51,1),(127,1),(129,1)}
        86:{1,3,4,5,7}:{(51,1),(52,1),(108,1),(128,1),(130,1),(131,1),(202,1),(228,1),(292,1),(307,1),(310,1),(369,1),(380,1),(382,1),(429,1)}
        87:{1,3,4,6}:{(51,1),(53,1),(54,1),(109,1),(129,1),(131,1),(203,1)}
        88:{2,3,4,6}:{(52,1),(110,1),(130,1),(132,1),(220,1),(280,1),(308,1),(357,1)}
        89:{2,3,4,7}:{(53,1),(55,1),(111,1),(131,1),(281,1),(382,1)}
        90:{2,5,6}:{(54,1),(129,1),(134,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(56,1),(131,1),(134,1),(135,1)}
        92:{2,3,6,7}:{(55,1),(57,1),(135,1),(317,1)}
        93:{1,4,6,7}:{(56,1),(57,1),(135,1),(137,1)}
        94:{2,5,6,7}:{(57,1),(58,1),(137,1),(211,1)}
        95:{1,4,5,6,7}:{(58,1),(138,1),(212,1),(232,1),(319,1)}
        96:{1,3,4,5}:{(59,1),(66,1),(140,1),(142,1),(152,1)}
        97:{2,3,4,5,7}:{(59,1),(67,1),(141,1),(143,1),(144,1),(170,1),(175,1),(243,1),(264,1),(268,1),(349,1),(387,1),(434,1)}
        98:{2,3,4,6}:{(59,1),(60,1),(68,1),(142,1),(144,1),(176,1),(388,1)}
        99:{1,3,5,6}:{(60,1),(61,1),(142,1),(145,1),(146,1)}
       100:{2,3,5,7}:{(60,1),(62,1),(144,1),(146,1),(147,1),(391,1)}
       101:{1,4,5,7}:{(61,1),(62,1),(146,1),(148,1),(158,1),(257,1)}
       102:{2,4,6,7}:{(62,1),(63,1),(147,1),(148,1),(149,1),(244,1)}
       103:{1,3,5,6,7}:{(63,1),(149,1),(150,1),(162,1),(248,1)}
       104:{1,3,4}:{(65,1),(84,1),(139,1),(152,1)}
       105:{1,2,3,6}:{(64,1),(154,1),(165,1),(250,1),(404,1)}
       106:{1,2,4,7}:{(64,1),(65,1),(151,1),(154,1),(396,1)}
       107:{1,2,4,5}:{(65,1),(66,1),(73,1),(85,1),(140,1),(152,1),(156,1)}
       108:{1,4,5,7}:{(66,1),(67,1),(75,1),(157,1),(158,1),(257,1)}
       109:{1,4,6}:{(66,1),(68,1),(76,1),(158,1)}
       110:{2,4,6}:{(67,1),(69,1),(78,1),(157,1),(159,1)}
       111:{2,4,7}:{(68,1),(70,1),(79,1),(158,1)}
       112:{1,3,5,6}:{(69,1),(159,1),(161,1),(162,1),(258,1)}
       113:{1,3,4,6,7}:{(69,1),(70,1),(82,1),(160,1),(162,1),(173,1),(267,1)}
       114:{1,2,3,5,7}:{(71,1),(153,1),(163,1),(164,1),(261,1),(333,1),(402,1),(441,1),(453,1)}
       115:{1,2,4,6,7}:{(71,1),(72,1),(74,1),(154,1),(163,1),(164,1),(165,1),(262,1),(346,1)}
       116:{1,2,5,7}:{(72,1),(73,1),(75,1),(165,1)}
       117:{1,2,5,6}:{(73,1),(76,1),(90,1),(145,1),(156,1),(165,1),(166,1)}
       118:{1,3,5,7}:{(74,1),(77,1),(164,1),(167,1),(168,1),(249,1),(257,1)}
       119:{1,3,6}:{(75,1),(78,1),(157,1),(165,1)}
       120:{1,3,5,7}:{(76,1),(79,1),(158,1),(166,1),(169,1),(251,1),(257,1)}
       121:{2,4,5,7}:{(77,1),(80,1),(167,1),(170,1),(171,1),(268,1),(320,1),(349,1),(389,1)}
       122:{2,3,5,6}:{(77,1),(78,1),(81,1),(159,1),(168,1),(171,1),(258,1),(339,1),(343,1)}
       123:{2,3,6,7}:{(78,1),(79,1),(82,1),(160,1),(169,1),(183,1),(244,1)}
       124:{1,4,6}:{(80,1),(81,1),(171,1)}
       125:{1,3,5,6,7}:{(81,1),(82,1),(83,1),(162,1),(172,1),(173,1),(333,1),(403,1),(405,1)}
       126:{2,3,4,7}:{(84,1),(151,1),(174,1),(175,1),(349,1),(406,1)}
       127:{2,3,5}:{(84,1),(85,1),(152,1),(176,1)}
       128:{2,4,5,7}:{(85,1),(86,1),(175,1),(177,1),(178,1),(268,1),(272,1),(349,1),(407,1),(443,1)}
       129:{2,4,6}:{(85,1),(87,1),(90,1),(176,1),(178,1)}
       130:{1,3,4,6}:{(86,1),(88,1),(157,1),(177,1),(179,1),(250,1),(332,1),(345,1),(348,1)}
       131:{1,3,4,7}:{(87,1),(89,1),(91,1),(158,1),(178,1),(251,1)}
       132:{2,3,5,6}:{(88,1),(159,1),(179,1),(181,1),(182,1),(258,1),(339,1)}
       133:{2,3,4,6,7}:{(88,1),(89,1),(92,1),(160,1),(180,1),(182,1),(185,1),(267,1),(322,1),(346,1),(354,1),(389,1),(409,1)}
       134:{2,5,7}:{(90,1),(91,1),(178,1),(183,1)}
       135:{1,3,6,7}:{(91,1),(92,1),(93,1),(183,1)}
       136:{2,3,5,6,7}:{(92,1),(94,1),(182,1),(184,1),(185,1),(187,1),(278,1),(354,1)}
       137:{1,5,6,7}:{(93,1),(94,1),(257,1)}
       138:{2,4,5,6,7}:{(94,1),(95,1),(185,1),(186,1),(187,1),(259,1),(276,1),(278,1)}
       139:{2,3,4}:{(104,1),(189,1)}
       140:{2,4,5}:{(96,1),(189,1),(191,1)}
       141:{1,3,4,5,7}:{(96,1),(97,1),(108,1),(190,1),(192,1),(193,1),(202,1),(285,1),(292,1),(307,1),(356,1),(369,1),(413,1),(415,1),(446,1)}
       142:{1,3,4,6}:{(96,1),(98,1),(99,1),(109,1),(191,1),(193,1),(203,1)}
       143:{2,3,4,6}:{(97,1),(110,1),(192,1),(194,1),(220,1),(223,1),(308,1),(311,1)}
       144:{2,3,4,7}:{(98,1),(100,1),(111,1),(193,1),(224,1),(415,1)}
       145:{2,5,6}:{(99,1),(191,1),(196,1)}
       146:{1,3,5,7}:{(99,1),(100,1),(101,1),(193,1),(196,1),(197,1)}
       147:{2,3,6,7}:{(100,1),(102,1),(197,1),(363,1)}
       148:{1,4,6,7}:{(101,1),(102,1),(197,1),(199,1)}
       149:{2,5,6,7}:{(102,1),(103,1),(199,1),(211,1)}
       150:{1,4,5,6,7}:{(103,1),(200,1),(212,1),(289,1),(365,1)}
       151:{1,3,4,7}:{(104,1),(106,1),(126,1),(188,1),(201,1),(202,1),(369,1),(420,1)}
       152:{1,3,5}:{(104,1),(107,1),(127,1),(189,1),(203,1)}
       153:{1,2,3,5,6}:{(105,1),(114,1),(204,1),(205,1),(215,1),(293,1),(296,1),(305,1),(366,1),(372,1),(424,1),(448,1)}
       154:{1,2,4,6}:{(105,1),(106,1),(201,1),(205,1)}
       155:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(116,1),(128,1),(190,1),(202,1),(205,1),(206,1),(207,1),(292,1),(298,1),(307,1),(369,1),(376,1),(421,1),(449,1)}
       156:{1,2,4,6}:{(107,1),(109,1),(117,1),(129,1),(191,1),(203,1),(207,1)}
       157:{1,4,6}:{(108,1),(110,1),(119,1),(208,1)}
       158:{1,4,7}:{(109,1),(111,1),(120,1)}
       159:{2,5,6}:{(110,1),(112,1),(208,1),(211,1)}
       160:{2,4,6,7}:{(110,1),(111,1),(113,1),(123,1),(209,1),(211,1)}
       161:{1,4,5,6}:{(112,1),(124,1),(210,1),(212,1),(374,1)}
       162:{1,3,5,7}:{(112,1),(113,1),(211,1),(212,1),(301,1)}
       163:{1,2,4,7}:{(114,1),(204,1),(213,1),(369,1),(423,1)}
       164:{1,2,5,7}:{(115,1),(118,1),(205,1),(215,1),(375,1)}
       165:{1,2,6}:{(116,1),(119,1)}
       166:{1,2,5,7}:{(117,1),(120,1),(134,1),(196,1),(207,1),(216,1)}
       167:{1,4,5,7}:{(118,1),(121,1),(218,1),(292,1),(369,1)}
       168:{1,3,5,6}:{(118,1),(119,1),(122,1),(208,1),(215,1),(218,1),(305,1)}
       169:{1,3,6,7}:{(119,1),(120,1),(123,1),(209,1),(216,1)}
       170:{3,4,5,7}:{(121,1),(220,1),(301,1),(310,1),(356,1),(382,1),(415,1)}
       171:{2,4,6}:{(121,1),(122,1),(124,1),(218,1),(220,1)}
       172:{2,3,5,6,7}:{(122,1),(123,1),(125,1),(211,1),(219,1),(221,1),(231,1),(288,1),(301,1),(312,1),(317,1),(358,1),(363,1),(375,1),(378,1)}
       173:{1,4,6,7}:{(124,1),(125,1),(212,1),(221,1),(369,1)}
       174:{2,3,4,6}:{(126,1),(201,1),(222,1),(223,1),(311,1)}
       175:{2,3,5,7}:{(126,1),(127,1),(128,1),(202,1),(222,1),(223,1),(224,1),(427,1),(450,1)}
       176:{2,3,6}:{(127,1),(129,1),(203,1),(224,1)}
       177:{2,4,6}:{(128,1),(130,1),(223,1),(225,1)}
       178:{2,4,7}:{(129,1),(131,1),(134,1),(224,1)}
       179:{1,3,5,6}:{(130,1),(132,1),(208,1),(225,1),(227,1),(228,1),(313,1),(374,1)}
       180:{1,3,4,6,7}:{(130,1),(131,1),(133,1),(135,1),(209,1),(226,1),(228,1),(232,1),(294,1),(317,1),(369,1),(379,1),(382,1),(386,1),(429,1)}
       181:{2,4,5,6}:{(132,1),(227,1),(229,1),(230,1),(357,1)}
       182:{2,3,5,7}:{(132,1),(133,1),(211,1),(228,1),(230,1),(301,1),(375,1)}
       183:{2,6,7}:{(134,1),(135,1)}
       184:{1,3,5,6,7}:{(135,1),(136,1),(137,1),(228,1),(231,1),(232,1),(317,1),(319,1),(386,1)}
       185:{2,4,6,7}:{(136,1),(230,1),(232,1),(233,1)}
       186:{1,4,5,6,7}:{(137,1),(138,1),(232,1),(234,1),(300,1)}
       187:{3,5,6,7}:{(138,1),(233,1),(301,1),(317,1)}
       188:{2,3,4,7}:{(139,1),(151,1),(235,1),(236,1),(389,1),(431,1)}
       189:{2,3,5}:{(139,1),(140,1),(152,1),(237,1)}
       190:{2,4,5,7}:{(140,1),(141,1),(236,1),(238,1),(239,1),(320,1),(324,1),(389,1),(432,1),(452,1)}
       191:{2,4,6}:{(140,1),(142,1),(145,1),(237,1),(239,1)}
       192:{1,3,4,6}:{(141,1),(143,1),(157,1),(238,1),(240,1),(250,1),(332,1),(345,1),(388,1)}
       193:{1,3,4,7}:{(142,1),(144,1),(146,1),(158,1),(239,1),(251,1)}
       194:{2,3,5,6}:{(143,1),(159,1),(240,1),(242,1),(243,1),(258,1),(339,1)}
       195:{2,3,4,6,7}:{(143,1),(144,1),(147,1),(160,1),(241,1),(243,1),(246,1),(267,1),(270,1),(346,1),(349,1),(394,1),(434,1)}
       196:{2,5,7}:{(145,1),(146,1),(239,1),(244,1)}
       197:{1,3,6,7}:{(146,1),(147,1),(148,1),(244,1)}
       198:{2,3,5,6,7}:{(147,1),(149,1),(243,1),(245,1),(246,1),(248,1),(330,1),(394,1)}
       199:{1,5,6,7}:{(148,1),(149,1),(257,1)}
       200:{2,4,5,6,7}:{(149,1),(150,1),(246,1),(247,1),(248,1),(259,1),(328,1),(330,1)}
       201:{1,3,4,6}:{(151,1),(154,1),(174,1),(235,1),(249,1),(250,1),(332,1)}
       202:{1,3,5,7}:{(151,1),(152,1),(155,1),(175,1),(236,1),(249,1),(250,1),(251,1),(438,1),(453,1)}
       203:{1,3,6}:{(152,1),(156,1),(176,1),(237,1),(251,1)}
       204:{1,2,4,6}:{(153,1),(163,1),(252,1),(253,1),(332,1),(396,1),(398,1)}
       205:{1,2,5}:{(154,1),(249,1)}
       206:{1,2,4,6}:{(155,1),(157,1),(165,1),(177,1),(238,1),(250,1),(254,1),(332,1),(345,1),(404,1)}
       207:{1,2,4,7}:{(156,1),(158,1),(166,1),(178,1),(239,1),(251,1)}
       208:{1,5,6}:{(157,1),(159,1),(257,1)}
       209:{1,4,6,7}:{(157,1),(158,1),(160,1),(169,1),(257,1)}
       210:{2,4,5,6}:{(159,1),(161,1),(171,1),(256,1),(258,1),(259,1),(339,1)}
       211:{2,5,7}:{(159,1),(160,1),(162,1),(257,1)}
       212:{1,4,5,7}:{(161,1),(162,1),(173,1),(259,1),(403,1)}
       213:{1,3,4,7}:{(163,1),(252,1),(260,1),(261,1),(453,1)}
       214:{1,2,4,5,7}:{(163,1),(164,1),(167,1),(253,1),(261,1),(262,1),(264,1)}
       215:{1,2,5,6}:{(164,1),(165,1),(168,1),(262,1),(339,1)}
       216:{1,2,6,7}:{(165,1),(166,1),(169,1),(183,1),(244,1)}
       217:{1,3,4,5,7}:{(167,1),(170,1),(261,1),(264,1),(265,1),(331,1),(340,1),(399,1)}
       218:{1,4,6}:{(167,1),(168,1),(171,1)}
       219:{1,3,5,6,7}:{(168,1),(169,1),(172,1),(257,1),(263,1),(266,1),(333,1),(340,1),(344,1)}
       220:{3,4,6}:{(170,1),(171,1),(258,1)}
       221:{2,4,6,7}:{(171,1),(172,1),(173,1),(259,1),(266,1),(267,1),(349,1),(389,1)}
       222:{2,3,5}:{(174,1),(249,1),(268,1)}
       223:{2,3,6}:{(175,1),(177,1),(250,1)}
       224:{2,3,7}:{(176,1),(178,1),(251,1)}
       225:{2,5,6}:{(177,1),(179,1),(272,1)}
       226:{2,4,6,7}:{(177,1),(178,1),(180,1),(183,1),(270,1),(272,1),(349,1),(412,1),(443,1)}
       227:{1,4,5,6}:{(179,1),(181,1),(271,1),(274,1),(332,1)}
       228:{1,3,5,7}:{(179,1),(180,1),(182,1),(257,1),(272,1),(274,1),(351,1),(403,1)}
       229:{3,4,5,6}:{(181,1),(258,1),(275,1),(388,1)}
       230:{2,4,5,7}:{(181,1),(182,1),(185,1),(274,1),(275,1),(389,1)}
       231:{2,5,6,7}:{(183,1),(184,1),(272,1),(276,1),(412,1)}
       232:{1,4,6,7}:{(184,1),(185,1),(274,1),(276,1)}
       233:{3,4,6,7}:{(185,1),(187,1),(275,1)}
       234:{1,3,5,6,7}:{(186,1),(187,1),(277,1),(278,1),(340,1)}
       235:{2,3,4,6}:{(188,1),(201,1),(279,1),(280,1),(357,1)}
       236:{2,3,5,7}:{(188,1),(189,1),(190,1),(202,1),(279,1),(280,1),(281,1),(444,1),(454,1)}
       237:{2,3,6}:{(189,1),(191,1),(203,1),(281,1)}
       238:{2,4,6}:{(190,1),(192,1),(280,1),(282,1)}
       239:{2,4,7}:{(191,1),(193,1),(196,1),(281,1)}
       240:{1,3,5,6}:{(192,1),(194,1),(208,1),(282,1),(284,1),(285,1),(359,1),(374,1)}
       241:{1,3,4,6,7}:{(192,1),(193,1),(195,1),(197,1),(209,1),(283,1),(285,1),(289,1),(294,1),(363,1),(369,1),(379,1),(415,1),(419,1),(446,1)}
       242:{2,4,5,6}:{(194,1),(284,1),(286,1),(287,1),(311,1)}
       243:{2,3,5,7}:{(194,1),(195,1),(211,1),(285,1),(287,1),(301,1),(375,1)}
       244:{2,6,7}:{(196,1),(197,1)}
       245:{1,3,5,6,7}:{(197,1),(198,1),(199,1),(285,1),(288,1),(289,1),(363,1),(365,1),(419,1)}
       246:{2,4,6,7}:{(198,1),(287,1),(289,1),(290,1)}
       247:{1,4,5,6,7}:{(199,1),(200,1),(289,1),(291,1),(300,1)}
       248:{3,5,6,7}:{(200,1),(290,1),(301,1),(363,1)}
       249:{1,3,5}:{(201,1),(205,1),(222,1),(279,1),(292,1)}
       250:{1,3,6}:{(202,1),(206,1),(223,1),(280,1)}
       251:{1,3,7}:{(203,1),(207,1),(224,1),(281,1)}
       252:{1,3,4,6}:{(204,1),(213,1),(295,1),(296,1),(305,1),(420,1),(448,1)}
       253:{1,2,4,5}:{(204,1),(205,1),(292,1),(296,1),(367,1)}
       254:{1,2,5,6}:{(205,1),(206,1),(208,1),(225,1),(282,1),(293,1),(298,1),(374,1)}
       255:{1,2,4,6,7}:{(206,1),(207,1),(209,1),(216,1),(226,1),(283,1),(294,1),(298,1),(369,1),(379,1),(426,1),(449,1)}
       256:{1,4,5,6}:{(208,1),(210,1),(218,1),(299,1),(300,1)}
       257:{1,5,7}:{(208,1),(209,1),(211,1)}
       258:{3,5,6}:{(210,1),(220,1),(301,1)}
       259:{2,4,5,7}:{(210,1),(211,1),(212,1),(221,1),(300,1),(301,1),(375,1)}
       260:{2,3,4,7}:{(213,1),(295,1),(303,1),(304,1),(423,1),(450,1),(454,1)}
       261:{1,3,5,7}:{(213,1),(214,1),(296,1),(304,1),(305,1)}
       262:{1,2,4,6}:{(214,1),(215,1),(218,1),(305,1),(308,1)}
       263:{1,2,5,6,7}:{(215,1),(216,1),(219,1),(231,1),(288,1),(298,1),(306,1),(319,1),(365,1),(375,1)}
       264:{2,4,5,7}:{(217,1),(304,1),(307,1),(308,1),(367,1),(375,1),(423,1)}
       265:{1,3,4,6}:{(217,1),(218,1),(220,1),(299,1),(305,1),(308,1)}
       266:{1,4,6,7}:{(218,1),(219,1),(221,1),(300,1),(369,1)}
       267:{3,4,6,7}:{(220,1),(221,1),(301,1),(317,1),(363,1),(382,1),(415,1)}
       268:{2,4,5}:{(222,1),(292,1),(310,1),(311,1)}
       269:{2,3,5,6}:{(222,1),(223,1),(225,1),(293,1),(311,1),(312,1),(313,1)}
       270:{2,3,6,7}:{(223,1),(224,1),(226,1),(294,1),(312,1),(317,1),(450,1)}
       271:{2,4,5,6}:{(225,1),(227,1),(311,1),(313,1),(314,1)}
       272:{2,5,7}:{(225,1),(226,1),(228,1)}
       273:{1,3,4,5,6}:{(227,1),(229,1),(299,1),(313,1),(315,1),(316,1),(368,1),(383,1)}
       274:{1,4,5,7}:{(227,1),(228,1),(230,1),(232,1),(314,1),(369,1)}
       275:{3,4,5,7}:{(229,1),(230,1),(233,1),(301,1),(415,1)}
       276:{2,4,6,7}:{(231,1),(232,1),(314,1),(317,1)}
       277:{1,3,4,6,7}:{(232,1),(233,1),(234,1),(316,1),(317,1),(318,1),(386,1)}
       278:{2,5,6,7}:{(234,1),(318,1),(319,1),(375,1)}
       279:{2,3,5}:{(235,1),(249,1),(320,1)}
       280:{2,3,6}:{(236,1),(238,1),(250,1)}
       281:{2,3,7}:{(237,1),(239,1),(251,1)}
       282:{2,5,6}:{(238,1),(240,1),(324,1)}
       283:{2,4,6,7}:{(238,1),(239,1),(241,1),(244,1),(322,1),(324,1),(389,1),(437,1),(452,1)}
       284:{1,4,5,6}:{(240,1),(242,1),(323,1),(326,1),(332,1)}
       285:{1,3,5,7}:{(240,1),(241,1),(243,1),(257,1),(324,1),(326,1),(391,1),(403,1)}
       286:{3,4,5,6}:{(242,1),(258,1),(327,1),(348,1)}
       287:{2,4,5,7}:{(242,1),(243,1),(246,1),(326,1),(327,1),(349,1)}
       288:{2,5,6,7}:{(244,1),(245,1),(324,1),(328,1),(437,1)}
       289:{1,4,6,7}:{(245,1),(246,1),(326,1),(328,1)}
       290:{3,4,6,7}:{(246,1),(248,1),(327,1)}
       291:{1,3,5,6,7}:{(247,1),(248,1),(329,1),(330,1),(340,1)}
       292:{1,4,5}:{(249,1),(268,1),(320,1),(332,1)}
       293:{1,3,5,6}:{(249,1),(250,1),(254,1),(269,1),(321,1),(332,1),(333,1)}
       294:{1,3,6,7}:{(250,1),(251,1),(255,1),(270,1),(322,1),(333,1),(453,1)}
       295:{2,3,4,6}:{(252,1),(260,1),(335,1),(336,1),(343,1),(398,1),(406,1),(431,1),(442,1),(451,1)}
       296:{1,3,5}:{(252,1),(253,1),(336,1)}
       297:{1,2,4,5,6}:{(253,1),(254,1),(256,1),(262,1),(271,1),(323,1),(332,1),(337,1),(338,1),(339,1),(352,1),(392,1),(398,1),(410,1),(435,1),(439,1)}
       298:{1,2,5,7}:{(254,1),(255,1),(257,1),(272,1),(324,1),(333,1),(403,1)}
       299:{1,3,5,6}:{(256,1),(258,1),(265,1),(339,1),(340,1)}
       300:{1,4,5,7}:{(256,1),(257,1),(259,1),(266,1),(340,1)}
       301:{3,5,7}:{(258,1),(259,1),(267,1)}
       302:{1,2,3,7}:{(334,1),(341,1),(453,1)}
       303:{1,3,4,7}:{(260,1),(335,1),(341,1),(342,1),(440,1),(453,1)}
       304:{2,3,5,7}:{(260,1),(261,1),(264,1),(336,1),(342,1),(343,1)}
       305:{1,3,6}:{(261,1),(262,1),(343,1)}
       306:{1,2,4,6,7}:{(262,1),(263,1),(266,1),(276,1),(328,1),(338,1),(344,1),(346,1),(355,1),(395,1),(412,1),(437,1)}
       307:{1,4,5,7}:{(264,1),(342,1),(345,1),(397,1),(403,1),(440,1)}
       308:{2,4,6}:{(264,1),(265,1),(339,1),(343,1),(345,1)}
       309:{1,3,4,6,7}:{(265,1),(266,1),(267,1),(340,1),(344,1),(346,1),(399,1)}
       310:{3,4,5}:{(268,1),(348,1)}
       311:{2,4,6}:{(268,1),(269,1),(332,1),(348,1),(349,1)}
       312:{2,3,5,7}:{(269,1),(270,1),(272,1),(333,1),(349,1),(351,1)}
       313:{3,5,6}:{(271,1),(348,1),(351,1)}
       314:{2,4,5,7}:{(271,1),(272,1),(274,1),(276,1),(349,1),(351,1)}
       315:{2,4,5,6}:{(273,1),(339,1),(350,1),(352,1),(353,1),(398,1),(410,1)}
       316:{1,3,4,5,7}:{(273,1),(274,1),(275,1),(277,1),(340,1),(351,1),(353,1),(399,1),(411,1)}
       317:{3,6,7}:{(276,1),(351,1)}
       318:{2,4,6,7}:{(277,1),(278,1),(353,1),(354,1),(355,1),(412,1)}
       319:{1,5,6,7}:{(278,1),(355,1),(403,1)}
       320:{2,4,5}:{(279,1),(292,1),(356,1),(357,1)}
       321:{2,3,5,6}:{(279,1),(280,1),(282,1),(293,1),(357,1),(358,1),(359,1)}
       322:{2,3,6,7}:{(280,1),(281,1),(283,1),(294,1),(358,1),(363,1),(454,1)}
       323:{2,4,5,6}:{(282,1),(284,1),(357,1),(359,1),(360,1)}
       324:{2,5,7}:{(282,1),(283,1),(285,1)}
       325:{1,3,4,5,6}:{(284,1),(286,1),(299,1),(359,1),(361,1),(362,1),(368,1),(416,1)}
       326:{1,4,5,7}:{(284,1),(285,1),(287,1),(289,1),(360,1),(369,1)}
       327:{3,4,5,7}:{(286,1),(287,1),(290,1),(301,1),(382,1)}
       328:{2,4,6,7}:{(288,1),(289,1),(360,1),(363,1)}
       329:{1,3,4,6,7}:{(289,1),(290,1),(291,1),(362,1),(363,1),(364,1),(419,1)}
       330:{2,5,6,7}:{(291,1),(364,1),(365,1),(375,1)}
       331:{1,3,4,5}:{(292,1),(296,1),(310,1),(356,1),(367,1),(368,1)}
       332:{1,4,6}:{(292,1),(293,1),(311,1),(357,1),(369,1)}
       333:{1,3,5,7}:{(293,1),(294,1),(298,1),(312,1),(358,1),(369,1)}
       334:{1,2,3,6}:{(302,1),(366,1),(370,1),(448,1)}
       335:{1,3,4,6}:{(295,1),(303,1),(370,1),(371,1),(377,1),(420,1),(422,1),(448,1)}
       336:{2,3,5}:{(295,1),(296,1),(367,1),(371,1)}
       337:{1,3,5,6}:{(296,1),(297,1),(305,1),(313,1),(359,1),(368,1),(372,1),(373,1),(448,1)}
       338:{1,2,4,5,7}:{(297,1),(298,1),(300,1),(306,1),(314,1),(360,1),(369,1),(373,1),(375,1),(385,1),(418,1),(423,1),(430,1),(447,1),(449,1)}
       339:{2,5,6}:{(299,1),(308,1),(374,1),(375,1)}
       340:{1,3,5,7}:{(299,1),(300,1),(301,1),(309,1),(375,1)}
       341:{1,2,4,7}:{(302,1),(303,1),(370,1),(376,1)}
       342:{1,3,5,7}:{(303,1),(304,1),(307,1),(371,1),(376,1),(377,1)}
       343:{2,3,6}:{(304,1),(305,1),(308,1),(377,1)}
       344:{1,3,6,7}:{(305,1),(306,1),(317,1),(363,1),(373,1),(378,1)}
       345:{1,4,6}:{(307,1),(308,1),(374,1),(377,1)}
       346:{2,4,6,7}:{(308,1),(309,1),(375,1),(378,1),(379,1),(423,1)}
       347:{2,3,4,5}:{(310,1),(367,1),(380,1),(381,1),(444,1)}
       348:{3,4,6}:{(310,1),(311,1),(313,1),(382,1)}
       349:{2,4,7}:{(311,1),(312,1),(369,1),(382,1)}
       350:{2,3,5,6}:{(313,1),(315,1),(381,1),(383,1),(384,1)}
       351:{3,5,7}:{(313,1),(314,1),(317,1),(382,1)}
       352:{1,4,5,6}:{(315,1),(374,1),(383,1),(385,1),(422,1)}
       353:{2,4,5,7}:{(315,1),(316,1),(318,1),(375,1),(384,1),(385,1),(423,1),(430,1)}
       354:{2,3,6,7}:{(317,1),(318,1),(384,1),(386,1)}
       355:{1,4,6,7}:{(318,1),(319,1),(385,1),(386,1)}
       356:{3,4,5}:{(320,1),(388,1)}
       357:{2,4,6}:{(320,1),(321,1),(332,1),(388,1),(389,1)}
       358:{2,3,5,7}:{(321,1),(322,1),(324,1),(333,1),(389,1),(391,1)}
       359:{3,5,6}:{(323,1),(388,1),(391,1)}
       360:{2,4,5,7}:{(323,1),(324,1),(326,1),(328,1),(389,1),(391,1)}
       361:{2,4,5,6}:{(325,1),(339,1),(390,1),(392,1),(393,1),(398,1),(435,1)}
       362:{1,3,4,5,7}:{(325,1),(326,1),(327,1),(329,1),(340,1),(391,1),(393,1),(399,1),(436,1)}
       363:{3,6,7}:{(328,1),(391,1)}
       364:{2,4,6,7}:{(329,1),(330,1),(393,1),(394,1),(395,1),(437,1)}
       365:{1,5,6,7}:{(330,1),(395,1),(403,1)}
       366:{1,2,3,5}:{(334,1),(396,1),(400,1),(438,1)}
       367:{2,4,5}:{(331,1),(336,1),(397,1),(398,1)}
       368:{1,3,4,6}:{(331,1),(332,1),(337,1),(348,1),(388,1),(398,1),(399,1)}
       369:{1,4,7}:{(332,1),(333,1),(349,1),(389,1)}
       370:{1,2,4,6}:{(334,1),(335,1),(341,1),(396,1),(400,1),(404,1)}
       371:{1,3,5}:{(335,1),(336,1),(397,1),(400,1)}
       372:{2,3,5,6}:{(336,1),(337,1),(339,1),(343,1),(398,1),(401,1),(402,1),(410,1),(435,1),(442,1),(451,1)}
       373:{1,3,5,7}:{(337,1),(338,1),(344,1),(351,1),(391,1),(399,1),(402,1),(453,1)}
       374:{1,5,6}:{(339,1),(345,1),(403,1)}
       375:{2,5,7}:{(339,1),(340,1),(346,1),(403,1)}
       376:{1,2,5,7}:{(341,1),(342,1),(400,1),(404,1)}
       377:{1,3,6}:{(342,1),(343,1),(345,1),(404,1)}
       378:{2,3,6,7}:{(343,1),(344,1),(346,1),(402,1),(405,1),(412,1),(437,1)}
       379:{1,4,6,7}:{(345,1),(346,1),(403,1),(405,1),(440,1)}
       380:{1,3,4,5}:{(347,1),(397,1),(407,1),(408,1),(438,1)}
       381:{2,3,4,6}:{(347,1),(348,1),(350,1),(398,1),(408,1),(409,1),(451,1)}
       382:{3,4,7}:{(348,1),(349,1),(351,1)}
       383:{1,3,5,6}:{(350,1),(352,1),(408,1),(410,1),(411,1)}
       384:{2,3,5,7}:{(350,1),(351,1),(353,1),(354,1),(409,1),(411,1)}
       385:{1,4,5,7}:{(352,1),(353,1),(355,1),(403,1),(411,1),(440,1)}
       386:{1,3,6,7}:{(354,1),(355,1),(411,1),(412,1)}
       387:{2,3,4,5}:{(356,1),(367,1),(413,1),(414,1),(427,1)}
       388:{3,4,6}:{(356,1),(357,1),(359,1),(415,1)}
       389:{2,4,7}:{(357,1),(358,1),(369,1),(415,1)}
       390:{2,3,5,6}:{(359,1),(361,1),(414,1),(416,1),(417,1)}
       391:{3,5,7}:{(359,1),(360,1),(363,1),(415,1)}
       392:{1,4,5,6}:{(361,1),(374,1),(416,1),(418,1),(422,1)}
       393:{2,4,5,7}:{(361,1),(362,1),(364,1),(375,1),(417,1),(418,1),(423,1),(447,1)}
       394:{2,3,6,7}:{(363,1),(364,1),(417,1),(419,1)}
       395:{1,4,6,7}:{(364,1),(365,1),(418,1),(419,1)}
       396:{1,2,4}:{(366,1),(420,1)}
       397:{1,4,5}:{(367,1),(371,1),(422,1)}
       398:{2,4,6}:{(367,1),(368,1),(372,1),(422,1),(423,1)}
       399:{1,3,4,7}:{(368,1),(369,1),(373,1),(382,1),(415,1),(423,1)}
       400:{1,2,5}:{(370,1),(371,1)}
       401:{1,3,5,6}:{(371,1),(372,1),(374,1),(377,1),(422,1),(424,1),(425,1),(448,1)}
       402:{2,3,5,7}:{(372,1),(373,1),(375,1),(378,1),(423,1),(425,1),(430,1),(447,1),(450,1),(454,1)}
       403:{1,5,7}:{(374,1),(375,1),(379,1)}
       404:{1,2,6}:{(376,1),(377,1)}
       405:{1,3,6,7}:{(377,1),(378,1),(379,1),(425,1),(426,1)}
       406:{2,3,4}:{(420,1),(427,1)}
       407:{2,4,5}:{(380,1),(427,1),(428,1)}
       408:{1,3,4,6}:{(380,1),(381,1),(383,1),(422,1),(428,1),(429,1),(448,1)}
       409:{2,3,4,7}:{(381,1),(382,1),(384,1),(423,1),(429,1),(454,1)}
       410:{2,5,6}:{(383,1),(428,1),(430,1)}
       411:{1,3,5,7}:{(383,1),(384,1),(385,1),(386,1),(429,1),(430,1)}
       412:{2,6,7}:{(386,1),(430,1)}
       413:{1,3,4,5}:{(387,1),(397,1),(432,1),(433,1),(438,1)}
       414:{2,3,4,6}:{(387,1),(388,1),(390,1),(398,1),(433,1),(434,1),(442,1)}
       415:{3,4,7}:{(388,1),(389,1),(391,1)}
       416:{1,3,5,6}:{(390,1),(392,1),(433,1),(435,1),(436,1)}
       417:{2,3,5,7}:{(390,1),(391,1),(393,1),(394,1),(434,1),(436,1)}
       418:{1,4,5,7}:{(392,1),(393,1),(395,1),(403,1),(436,1),(440,1)}
       419:{1,3,6,7}:{(394,1),(395,1),(436,1),(437,1)}
       420:{1,3,4}:{(396,1),(406,1),(431,1),(438,1)}
       421:{1,2,4,5}:{(396,1),(397,1),(400,1),(407,1),(432,1),(438,1),(439,1)}
       422:{1,4,6}:{(397,1),(398,1),(401,1),(440,1)}
       423:{2,4,7}:{(398,1),(399,1),(402,1),(440,1)}
       424:{1,2,5,6}:{(400,1),(401,1),(404,1),(410,1),(435,1),(439,1),(441,1)}
       425:{1,3,5,7}:{(401,1),(402,1),(403,1),(405,1),(440,1),(441,1),(453,1)}
       426:{1,2,6,7}:{(404,1),(405,1),(412,1),(437,1),(441,1)}
       427:{2,3,5}:{(406,1),(407,1),(438,1),(442,1)}
       428:{2,4,6}:{(407,1),(408,1),(410,1),(442,1),(443,1)}
       429:{1,3,4,7}:{(408,1),(409,1),(411,1),(440,1),(443,1),(453,1)}
       430:{2,5,7}:{(410,1),(411,1),(412,1),(443,1)}
       431:{2,3,4}:{(420,1),(444,1)}
       432:{2,4,5}:{(413,1),(444,1),(445,1)}
       433:{1,3,4,6}:{(413,1),(414,1),(416,1),(422,1),(445,1),(446,1),(448,1)}
       434:{2,3,4,7}:{(414,1),(415,1),(417,1),(423,1),(446,1),(450,1)}
       435:{2,5,6}:{(416,1),(445,1),(447,1)}
       436:{1,3,5,7}:{(416,1),(417,1),(418,1),(419,1),(446,1),(447,1)}
       437:{2,6,7}:{(419,1),(447,1)}
       438:{1,3,5}:{(420,1),(421,1),(427,1),(444,1),(448,1)}
       439:{1,2,4,6}:{(421,1),(422,1),(424,1),(428,1),(445,1),(448,1),(449,1)}
       440:{1,4,7}:{(422,1),(423,1),(425,1)}
       441:{1,2,5,7}:{(424,1),(425,1),(426,1),(430,1),(447,1),(449,1)}
       442:{2,3,6}:{(427,1),(428,1),(448,1),(450,1)}
       443:{2,4,7}:{(428,1),(429,1),(430,1),(450,1)}
       444:{2,3,5}:{(431,1),(432,1),(438,1),(451,1)}
       445:{2,4,6}:{(432,1),(433,1),(435,1),(451,1),(452,1)}
       446:{1,3,4,7}:{(433,1),(434,1),(436,1),(440,1),(452,1),(453,1)}
       447:{2,5,7}:{(435,1),(436,1),(437,1),(452,1)}
       448:{1,3,6}:{(438,1),(439,1),(442,1),(451,1),(453,1)}
       449:{1,2,4,7}:{(439,1),(440,1),(441,1),(443,1),(452,1),(453,1)}
       450:{2,3,7}:{(442,1),(443,1),(453,1)}
       451:{2,3,6}:{(444,1),(445,1),(448,1),(454,1)}
       452:{2,4,7}:{(445,1),(446,1),(447,1),(454,1)}
       453:{1,3,7}:{(448,1),(449,1),(450,1),(454,1)}
       454:{2,3,7}:{(451,1),(452,1),(453,1)}

2622 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2623 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2624 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(138,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(18,1),(25,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(39,1),(139,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(29,1),(39,1)}
        11:{1,2,4,5,6}:{(8,1),(18,1),(19,1),(25,1),(40,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(22,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(55,1),(129,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(23,1),(25,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(24,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(14,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(16,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(34,1)}
        21:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(35,1),(36,1),(71,1),(119,1),(141,1)}
        22:{2,3,4,6}:{(12,1),(14,1),(28,1),(34,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(35,1),(37,1)}
        24:{1,3,4,7}:{(14,1),(16,1),(29,1),(36,1)}
        25:{1,2,5,6}:{(15,1),(37,1),(39,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(150,1),(152,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(54,1),(87,1)}
        28:{2,3,5,6}:{(18,1),(22,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(24,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(47,1)}
        32:{1,2,4,5}:{(20,1),(47,1),(49,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(51,1),(86,1),(108,1),(131,1)}
        34:{1,3,4,6}:{(20,1),(22,1),(42,1),(49,1),(51,1)}
        35:{2,3,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{2,3,4,7}:{(22,1),(24,1),(43,1),(51,1)}
        37:{1,3,5,6}:{(23,1),(25,1),(52,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(24,1),(26,1),(44,1),(53,1),(55,1),(79,1),(145,1),(148,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(55,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(34,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(150,1)}
        46:{1,2,3,4,7}:{(31,1),(63,1),(64,1),(121,1)}
        47:{1,2,3,5}:{(31,1),(32,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(95,1),(99,1),(121,1)}
        49:{1,2,4,6}:{(32,1),(34,1),(59,1),(65,1),(67,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(66,1),(68,1)}
        51:{1,3,4,7}:{(34,1),(36,1),(60,1),(67,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(68,1),(70,1),(71,1)}
        53:{2,3,4,6,7}:{(35,1),(36,1),(38,1),(61,1),(69,1),(71,1),(94,1),(136,1),(141,1)}
        54:{1,4,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(49,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(51,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(55,1),(78,1),(79,1),(144,1),(145,1)}
        63:{1,2,3,4,6}:{(46,1),(80,1),(81,1),(109,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,6}:{(47,1),(49,1),(82,1)}
        66:{1,2,4,6}:{(48,1),(50,1),(81,1),(83,1)}
        67:{1,2,4,7}:{(49,1),(51,1),(76,1),(82,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(83,1),(85,1),(86,1)}
        69:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(77,1),(84,1),(86,1),(106,1),(127,1),(131,1)}
        70:{2,4,5,6}:{(52,1),(54,1),(85,1),(87,1),(88,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(88,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(67,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(71,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,5}:{(63,1),(95,1)}
        81:{1,2,3,6}:{(64,1),(66,1)}
        82:{1,2,3,7}:{(65,1),(67,1)}
        83:{1,2,5,6}:{(66,1),(68,1),(99,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(92,1),(97,1),(99,1),(121,1)}
        85:{1,4,5,6}:{(68,1),(70,1),(101,1)}
        86:{1,3,5,7}:{(68,1),(69,1),(71,1),(99,1),(101,1)}
        87:{3,4,5,6}:{(70,1),(102,1)}
        88:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(101,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(144,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(86,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(88,1),(106,1),(107,1)}
        95:{1,2,4,5}:{(80,1),(108,1),(109,1)}
        96:{1,2,3,5,6}:{(80,1),(81,1),(83,1),(109,1),(110,1),(111,1)}
        97:{1,2,3,6,7}:{(81,1),(82,1),(84,1),(110,1),(127,1)}
        98:{1,2,4,5,6}:{(83,1),(85,1),(109,1),(111,1),(112,1),(113,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(86,1)}
       100:{1,3,4,5,6}:{(85,1),(87,1),(111,1),(113,1),(114,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(99,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(101,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,3,4,5}:{(95,1),(119,1),(120,1)}
       109:{1,2,4,6}:{(95,1),(96,1),(120,1),(121,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(99,1),(121,1),(123,1)}
       111:{1,3,5,6}:{(98,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(121,1),(123,1),(125,1)}
       113:{2,4,5,6}:{(100,1),(122,1),(124,1),(125,1)}
       114:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(123,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(112,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(114,1),(126,1),(127,1),(128,1)}
       119:{2,3,4,5}:{(108,1),(129,1),(130,1)}
       120:{1,3,4,6}:{(108,1),(109,1),(111,1),(130,1),(131,1)}
       121:{1,2,4,7}:{(109,1),(110,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(113,1),(130,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(111,1),(112,1),(127,1),(131,1),(133,1)}
       124:{1,4,5,6}:{(113,1),(132,1),(134,1)}
       125:{2,4,5,7}:{(113,1),(114,1),(128,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(123,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(125,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,5}:{(119,1),(139,1),(140,1)}
       130:{2,3,4,6}:{(119,1),(120,1),(122,1),(140,1),(141,1)}
       131:{1,3,4,7}:{(120,1),(121,1),(123,1),(141,1)}
       132:{1,3,5,6}:{(122,1),(124,1),(140,1),(142,1),(143,1)}
       133:{2,3,5,7}:{(122,1),(123,1),(125,1),(136,1),(141,1),(143,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(143,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(144,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(133,1),(145,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(144,1),(145,1)}
       138:{1,2,3,4}:{(146,1)}
       139:{1,2,4,5}:{(129,1),(146,1),(147,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{2,3,4,7}:{(130,1),(131,1),(133,1),(148,1)}
       142:{1,2,5,6}:{(132,1),(147,1),(149,1)}
       143:{1,3,5,7}:{(132,1),(133,1),(134,1),(145,1),(148,1),(149,1)}
       144:{1,5,6,7}:{(135,1),(137,1)}
       145:{1,3,6,7}:{(136,1),(137,1),(143,1),(150,1)}
       146:{1,2,3,5}:{(138,1),(139,1),(151,1)}
       147:{1,2,4,6}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,2,5,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2625 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(68,1),(92,1)}
        3:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(9,1),(26,1),(29,1),(54,1),(83,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,3,6}:{(2,1),(8,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(27,1),(31,1),(56,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(17,1),(35,1),(39,1),(41,1),(70,1)}
        8:{1,2,4,6}:{(3,1),(5,1),(14,1),(15,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(37,1)}
       11:{1,2,3,6,7}:{(5,1),(16,1),(19,1),(65,1),(92,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(27,1),(46,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(23,1)}
       15:{1,2,5,6}:{(8,1),(23,1),(26,1)}
       16:{1,2,4,6,7}:{(8,1),(11,1),(24,1),(26,1),(29,1),(83,1),(96,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(28,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
       19:{1,2,3,5,7}:{(10,1),(11,1),(26,1),(29,1),(52,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(30,1),(31,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(31,1),(56,1),(57,1),(79,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(32,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(20,1),(32,1),(34,1),(35,1)}
       24:{1,3,4,6,7}:{(14,1),(16,1),(21,1),(33,1),(35,1),(41,1),(62,1),(65,1),(70,1),(90,1)}
       25:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(37,1),(38,1),(63,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(35,1)}
       27:{2,3,4,5}:{(17,1),(39,1),(40,1)}
       28:{1,3,4,6}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
       29:{1,2,4,7}:{(18,1),(19,1),(41,1)}
       30:{2,4,5,6}:{(20,1),(34,1),(43,1),(44,1)}
       31:{2,3,5,7}:{(20,1),(21,1),(35,1),(44,1)}
       32:{2,3,5,6}:{(22,1),(23,1),(45,1),(46,1)}
       33:{2,3,4,6,7}:{(22,1),(24,1),(46,1),(56,1),(73,1),(79,1)}
       34:{1,4,5,6}:{(23,1),(30,1),(45,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(31,1),(46,1),(49,1)}
       36:{1,2,5,6,7}:{(26,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,3,5,6}:{(25,1),(28,1),(51,1),(52,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(50,1),(52,1),(78,1)}
       39:{1,3,4,5}:{(27,1),(54,1),(55,1)}
       40:{2,3,4,6}:{(27,1),(28,1),(51,1),(55,1),(56,1)}
       41:{1,3,4,7}:{(28,1),(29,1),(52,1),(56,1)}
       42:{2,3,5,6,7}:{(31,1),(47,1),(57,1),(79,1),(84,1),(94,1)}
       43:{3,4,5,6}:{(30,1),(58,1)}
       44:{2,4,5,7}:{(30,1),(31,1),(49,1),(57,1),(58,1)}
       45:{2,4,5,6}:{(32,1),(34,1),(60,1),(61,1)}
       46:{2,3,5,7}:{(32,1),(33,1),(35,1),(61,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(42,1),(59,1),(62,1),(65,1),(90,1),(97,1)}
       48:{1,3,4,5,6}:{(34,1),(37,1),(43,1),(60,1),(63,1),(64,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(44,1),(61,1),(62,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(62,1),(65,1),(88,1)}
       51:{2,3,5,6}:{(37,1),(40,1),(63,1),(66,1),(67,1)}
       52:{1,3,5,7}:{(37,1),(38,1),(41,1),(65,1),(67,1)}
       53:{1,2,3,4}:{(68,1)}
       54:{1,2,4,5}:{(39,1),(68,1),(69,1)}
       55:{1,3,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
       56:{2,3,4,7}:{(40,1),(41,1),(67,1),(70,1)}
       57:{2,4,6,7}:{(42,1),(44,1),(62,1),(72,1)}
       58:{3,4,5,7}:{(43,1),(44,1),(72,1)}
       59:{2,3,5,6,7}:{(46,1),(47,1),(73,1),(79,1),(93,1),(94,1)}
       60:{3,4,5,6}:{(45,1),(74,1)}
       61:{2,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(49,1),(57,1),(73,1)}
       63:{2,4,5,6}:{(48,1),(51,1),(77,1),(78,1)}
       64:{1,3,4,5,7}:{(48,1),(49,1),(52,1),(58,1),(74,1),(76,1),(78,1)}
       65:{1,3,6,7}:{(50,1),(52,1),(79,1)}
       66:{1,3,5,6}:{(51,1),(55,1),(77,1),(80,1),(81,1)}
       67:{2,3,5,7}:{(51,1),(52,1),(56,1),(78,1),(79,1),(81,1)}
       68:{1,2,3,5}:{(53,1),(54,1),(82,1)}
       69:{1,2,4,6}:{(54,1),(55,1),(80,1),(82,1),(83,1)}
       70:{1,3,4,7}:{(55,1),(56,1),(81,1),(83,1)}
       71:{2,4,5,6,7}:{(57,1),(75,1),(84,1),(94,1)}
       72:{3,4,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,6,7}:{(59,1),(61,1),(62,1),(86,1)}
       74:{3,4,5,7}:{(60,1),(61,1),(86,1)}
       75:{1,4,5,6,7}:{(62,1),(71,1),(85,1),(87,1),(97,1)}
       76:{1,3,4,6,7}:{(62,1),(64,1),(65,1),(72,1),(86,1),(87,1),(88,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,4,5,7}:{(63,1),(64,1),(67,1),(88,1),(89,1)}
       79:{2,3,6,7}:{(65,1),(67,1),(88,1),(90,1)}
       80:{1,2,5,6}:{(66,1),(69,1),(91,1)}
       81:{1,3,5,7}:{(66,1),(67,1),(70,1),(89,1),(90,1),(91,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,4,7}:{(69,1),(70,1),(91,1),(92,1)}
       84:{3,5,6,7}:{(71,1),(72,1)}
       85:{2,4,5,6,7}:{(73,1),(75,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(73,1),(74,1),(93,1)}
       87:{1,3,5,6,7}:{(75,1),(76,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(76,1),(78,1),(79,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(77,1),(78,1),(81,1),(95,1)}
       90:{1,3,6,7}:{(79,1),(81,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(80,1),(81,1),(83,1),(96,1)}
       92:{1,2,3,7}:{(82,1),(83,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2626 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(100,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(68,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(111,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(68,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(65,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(83,1),(121,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(50,1),(101,1),(120,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(50,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(47,1),(55,1),(83,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(50,1),(82,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(114,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(95,1),(114,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(66,1),(89,1),(113,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(68,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(62,1),(70,1),(95,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(71,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(58,1),(68,1),(88,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(42,1),(43,1),(103,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(43,1),(44,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1),(75,1),(80,1),(103,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(44,1),(45,1),(46,1)}
        30:{2,3,5}:{(16,1),(18,1),(45,1),(47,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(46,1)}
        32:{1,4,5}:{(18,1),(47,1),(50,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(48,1),(50,1),(51,1),(108,1),(120,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(49,1),(51,1),(118,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(51,1),(55,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(46,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(52,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(49,1),(53,1),(55,1),(83,1)}
        39:{1,4,5,6}:{(24,1),(50,1),(54,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(55,1),(56,1),(86,1)}
        41:{1,3,5,6,7}:{(40,1),(57,1),(58,1),(88,1)}
        42:{1,2,3,5}:{(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(28,1),(59,1),(60,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        45:{1,3,5}:{(28,1),(30,1),(60,1),(62,1)}
        46:{1,3,6}:{(29,1),(31,1),(36,1),(61,1)}
        47:{2,4,5}:{(30,1),(32,1),(62,1),(65,1),(66,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(63,1),(66,1),(67,1),(71,1),(97,1),(113,1)}
        49:{2,3,6,7}:{(31,1),(34,1),(38,1),(64,1),(67,1),(88,1),(110,1)}
        50:{1,4,6}:{(32,1),(33,1),(66,1),(68,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(35,1),(67,1),(68,1),(117,1),(124,1)}
        52:{1,5,6}:{(36,1),(37,1),(70,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(64,1),(70,1),(95,1)}
        54:{2,4,5,6}:{(37,1),(39,1),(66,1),(69,1),(71,1),(72,1),(97,1)}
        55:{2,5,7}:{(37,1),(38,1),(40,1),(70,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(72,1),(117,1)}
        57:{2,5,6,7}:{(41,1),(55,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(118,1)}
        59:{1,2,4}:{(42,1),(75,1)}
        60:{1,2,5}:{(43,1),(45,1)}
        61:{1,2,6}:{(44,1),(46,1)}
        62:{1,4,5}:{(45,1),(47,1),(80,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(52,1),(77,1),(80,1),(81,1),(103,1)}
        64:{1,3,6,7}:{(46,1),(49,1),(53,1),(78,1),(81,1)}
        65:{3,4,5}:{(47,1),(82,1)}
        66:{2,4,6}:{(47,1),(48,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(81,1),(83,1),(86,1),(109,1),(121,1)}
        68:{1,4,7}:{(50,1),(51,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(54,1),(80,1),(84,1),(85,1)}
        70:{1,5,7}:{(52,1),(53,1),(55,1)}
        71:{3,5,6}:{(54,1),(82,1),(86,1)}
        72:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(83,1),(85,1),(86,1),(109,1)}
        73:{1,5,6,7}:{(57,1),(70,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(72,1),(87,1),(88,1),(110,1)}
        75:{1,3,4}:{(59,1),(89,1),(90,1)}
        76:{1,2,4,5}:{(59,1),(60,1),(62,1),(90,1),(91,1),(93,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(63,1),(91,1),(92,1),(97,1)}
        78:{1,2,6,7}:{(61,1),(64,1),(92,1),(110,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(90,1),(93,1),(94,1)}
        80:{1,4,6}:{(62,1),(63,1),(66,1),(95,1)}
        81:{1,3,5,7}:{(63,1),(64,1),(67,1),(70,1),(92,1),(95,1),(114,1)}
        82:{3,4,6}:{(65,1),(66,1),(71,1),(96,1)}
        83:{2,4,7}:{(66,1),(67,1),(68,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(69,1),(71,1),(94,1),(97,1),(98,1)}
        85:{1,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(95,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(85,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{2,3,4}:{(75,1),(101,1),(102,1)}
        90:{1,3,5}:{(75,1),(76,1),(102,1),(103,1)}
        91:{1,2,4,6}:{(76,1),(77,1),(80,1),(103,1),(104,1),(106,1)}
        92:{1,2,5,7}:{(77,1),(78,1),(81,1),(104,1),(109,1)}
        93:{2,4,5}:{(79,1),(102,1),(105,1),(106,1)}
        94:{1,3,4,6}:{(79,1),(80,1),(82,1),(84,1),(103,1),(106,1),(107,1)}
        95:{1,4,7}:{(80,1),(81,1),(83,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{2,5,6}:{(84,1),(106,1),(108,1),(109,1)}
        98:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(107,1),(109,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(98,1),(110,1)}
       100:{1,2,3}:{(111,1)}
       101:{1,3,4}:{(89,1),(111,1),(112,1)}
       102:{2,3,5}:{(89,1),(90,1),(93,1),(112,1),(113,1)}
       103:{1,3,6}:{(90,1),(91,1),(113,1),(114,1)}
       104:{1,2,4,7}:{(91,1),(92,1),(95,1),(114,1),(116,1)}
       105:{1,4,5}:{(93,1),(112,1),(115,1)}
       106:{2,4,6}:{(93,1),(94,1),(97,1),(113,1),(115,1),(116,1)}
       107:{1,3,4,7}:{(94,1),(95,1),(96,1),(98,1),(114,1),(116,1)}
       108:{1,5,6}:{(97,1),(115,1),(117,1)}
       109:{2,5,7}:{(97,1),(98,1),(110,1),(116,1),(117,1)}
       110:{2,6,7}:{(99,1),(109,1),(118,1)}
       111:{1,2,4}:{(100,1),(101,1),(119,1)}
       112:{1,3,5}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{2,3,6}:{(102,1),(103,1),(106,1),(120,1),(121,1)}
       114:{1,3,7}:{(103,1),(104,1),(121,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(120,1),(122,1)}
       116:{2,4,7}:{(106,1),(107,1),(109,1),(121,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(118,1),(122,1)}
       118:{1,6,7}:{(110,1),(117,1)}
       119:{1,2,5}:{(111,1),(112,1),(123,1)}
       120:{1,3,6}:{(112,1),(113,1),(115,1),(123,1),(124,1)}
       121:{2,3,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,4,7}:{(115,1),(116,1),(117,1),(124,1)}
       123:{1,2,6}:{(119,1),(120,1),(125,1)}
       124:{1,3,7}:{(120,1),(121,1),(122,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2627 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(147,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(24,1),(29,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(138,1),(152,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(17,1),(44,1),(128,1),(145,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(40,1),(44,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,3,4}:{(19,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(22,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(59,1),(116,1),(136,1)}
        15:{1,2,4,5,6}:{(7,1),(24,1),(27,1),(29,1),(45,1),(60,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(29,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(58,1),(152,1)}
        19:{1,2,3,5}:{(11,1),(31,1),(32,1)}
        20:{1,2,3,4,7}:{(11,1),(33,1),(34,1),(101,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(35,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(75,1),(103,1),(126,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,7}:{(13,1),(16,1),(38,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(39,1),(42,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(145,1),(153,1)}
        29:{1,2,5,6}:{(17,1),(42,1),(44,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(60,1),(93,1)}
        31:{1,2,4,5}:{(19,1),(21,1),(47,1)}
        32:{1,2,3,6}:{(19,1),(47,1),(49,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(48,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,4,6}:{(20,1),(50,1),(51,1),(86,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(47,1),(52,1),(53,1)}
        36:{1,3,4,5,7}:{(21,1),(23,1),(48,1),(53,1),(54,1),(87,1),(89,1),(114,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(25,1),(53,1),(55,1)}
        39:{2,3,4,6}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(27,1),(55,1),(58,1)}
        41:{1,3,4,6,7}:{(25,1),(26,1),(28,1),(56,1),(58,1),(59,1),(94,1),(136,1),(150,1)}
        42:{1,3,5,6}:{(26,1),(29,1),(57,1),(59,1),(60,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(59,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(35,1),(65,1),(66,1)}
        48:{1,2,4,5,7}:{(31,1),(33,1),(36,1),(66,1),(67,1),(70,1),(99,1),(101,1)}
        49:{1,2,3,7}:{(32,1),(66,1)}
        50:{1,2,3,6}:{(33,1),(67,1)}
        51:{1,2,3,5}:{(34,1),(70,1)}
        52:{1,3,5,6}:{(35,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,7}:{(35,1),(38,1),(66,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(39,1),(67,1),(73,1)}
        55:{2,3,5,7}:{(37,1),(38,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(74,1),(75,1),(107,1),(126,1),(142,1)}
        57:{2,3,5,6}:{(39,1),(42,1),(73,1),(75,1),(76,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(75,1),(78,1)}
        60:{1,4,5,6}:{(42,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(47,1),(52,1),(82,1)}
        66:{1,2,4,7}:{(47,1),(49,1),(53,1),(82,1)}
        67:{1,2,4,6}:{(48,1),(50,1),(54,1),(84,1)}
        68:{1,2,3,6,7}:{(49,1),(50,1),(83,1),(85,1),(133,1)}
        69:{1,2,3,5,6}:{(50,1),(51,1),(84,1),(85,1),(86,1),(113,1)}
        70:{1,2,4,5}:{(51,1),(86,1),(87,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(83,1),(88,1),(89,1),(114,1),(117,1),(133,1)}
        73:{1,3,5,6}:{(54,1),(57,1),(84,1),(89,1),(90,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(59,1),(89,1),(92,1)}
        76:{2,4,5,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(92,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(71,1),(98,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(98,1),(99,1),(101,1)}
        84:{1,2,5,6}:{(67,1),(73,1),(99,1)}
        85:{1,2,3,5,7}:{(68,1),(69,1),(99,1),(101,1),(124,1)}
        86:{1,2,4,6}:{(69,1),(70,1),(101,1),(102,1)}
        87:{1,3,4,5}:{(70,1),(102,1),(103,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,3,5,7}:{(72,1),(73,1),(75,1),(99,1),(105,1)}
        90:{1,4,5,6}:{(73,1),(76,1),(105,1)}
        91:{2,3,5,6,7}:{(74,1),(75,1),(77,1),(96,1),(104,1),(107,1),(122,1),(141,1),(142,1)}
        92:{2,4,5,7}:{(75,1),(76,1),(78,1),(105,1),(107,1),(108,1)}
        93:{3,4,5,6}:{(76,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(89,1)}
       100:{1,2,4,5,6}:{(84,1),(86,1),(90,1),(112,1),(113,1),(119,1)}
       101:{1,2,4,7}:{(85,1),(86,1),(114,1)}
       102:{1,3,4,6}:{(86,1),(87,1),(113,1),(114,1),(115,1)}
       103:{2,3,4,5}:{(87,1),(115,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(109,1),(111,1),(117,1),(133,1)}
       105:{1,4,5,7}:{(89,1),(90,1),(92,1),(117,1)}
       106:{1,3,4,5,6}:{(90,1),(93,1),(113,1),(118,1),(119,1)}
       107:{2,4,6,7}:{(91,1),(92,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(141,1)}
       111:{1,2,5,6,7}:{(98,1),(99,1),(104,1),(123,1),(141,1)}
       112:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(105,1),(123,1),(124,1),(130,1)}
       113:{1,3,5,6}:{(100,1),(102,1),(124,1),(125,1)}
       114:{1,3,4,7}:{(101,1),(102,1),(124,1),(126,1)}
       115:{2,3,4,6}:{(102,1),(103,1),(125,1),(126,1),(127,1)}
       116:{1,3,4,5}:{(103,1),(127,1),(128,1)}
       117:{1,4,6,7}:{(104,1),(105,1),(107,1)}
       118:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(124,1),(129,1),(130,1)}
       119:{2,4,5,6}:{(106,1),(125,1),(130,1),(131,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(132,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(133,1),(139,1)}
       124:{1,3,5,7}:{(112,1),(113,1),(114,1),(133,1),(134,1)}
       125:{2,3,5,6}:{(113,1),(115,1),(119,1),(134,1),(135,1)}
       126:{2,3,4,7}:{(114,1),(115,1),(134,1),(136,1)}
       127:{1,3,4,6}:{(115,1),(116,1),(135,1),(136,1),(137,1)}
       128:{1,2,4,5}:{(116,1),(137,1),(138,1)}
       129:{1,3,4,6,7}:{(117,1),(118,1),(120,1),(132,1),(133,1),(139,1)}
       130:{2,4,5,7}:{(118,1),(119,1),(134,1),(139,1),(140,1)}
       131:{1,4,5,6}:{(119,1),(135,1),(140,1)}
       132:{1,3,5,6,7}:{(121,1),(122,1),(129,1),(141,1)}
       133:{1,3,6,7}:{(123,1),(124,1),(142,1)}
       134:{2,3,5,7}:{(124,1),(125,1),(126,1),(130,1),(142,1),(143,1)}
       135:{1,3,5,6}:{(125,1),(127,1),(131,1),(143,1),(144,1)}
       136:{1,3,4,7}:{(126,1),(127,1),(143,1),(145,1)}
       137:{1,2,4,6}:{(127,1),(128,1),(144,1),(145,1),(146,1)}
       138:{1,2,3,5}:{(128,1),(146,1),(147,1)}
       139:{2,4,6,7}:{(129,1),(130,1),(141,1),(142,1),(148,1)}
       140:{1,4,5,7}:{(130,1),(131,1),(143,1),(148,1)}
       141:{2,5,6,7}:{(132,1),(139,1),(149,1)}
       142:{2,3,6,7}:{(133,1),(134,1),(139,1),(150,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(140,1),(150,1),(151,1)}
       144:{1,2,5,6}:{(135,1),(137,1),(151,1)}
       145:{1,2,4,7}:{(136,1),(137,1),(151,1),(152,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,3,4}:{(138,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(141,1),(148,1)}
       150:{1,3,6,7}:{(142,1),(143,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(143,1),(144,1),(145,1),(153,1)}
       152:{1,2,3,7}:{(145,1),(146,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2628 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(83,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(69,1),(92,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(25,1),(27,1),(55,1),(81,1)}
        4:{1,2,3,6}:{(1,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(29,1),(30,1),(53,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(19,1),(34,1),(39,1),(41,1),(67,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
        9:{1,2,3,6,7}:{(4,1),(15,1),(17,1),(64,1),(92,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(38,1)}
       11:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(45,1),(53,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(24,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(25,1),(27,1),(81,1),(96,1)}
       16:{1,2,5,6}:{(8,1),(24,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1),(27,1),(51,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(27,1),(28,1)}
       19:{1,3,4,5}:{(11,1),(28,1),(29,1)}
       20:{2,3,4,6,7}:{(12,1),(23,1),(30,1),(53,1),(56,1),(78,1)}
       21:{2,3,5,6}:{(12,1),(24,1),(30,1),(31,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(20,1),(32,1),(34,1),(39,1),(61,1),(64,1),(67,1),(90,1)}
       24:{1,3,5,6}:{(14,1),(16,1),(21,1),(33,1),(34,1),(35,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(37,1),(38,1),(63,1)}
       27:{1,2,4,7}:{(17,1),(18,1),(39,1)}
       28:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1),(40,1)}
       29:{2,3,4,5}:{(19,1),(40,1),(41,1)}
       30:{2,3,5,7}:{(20,1),(21,1),(34,1),(43,1)}
       31:{2,4,5,6}:{(21,1),(35,1),(43,1),(44,1)}
       32:{2,3,4,6,7}:{(22,1),(23,1),(45,1),(53,1),(72,1),(78,1)}
       33:{2,3,5,6}:{(22,1),(24,1),(45,1),(46,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(30,1),(45,1),(48,1)}
       35:{1,4,5,6}:{(24,1),(31,1),(46,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(76,1)}
       38:{1,3,5,6}:{(26,1),(28,1),(51,1),(52,1)}
       39:{1,3,4,7}:{(27,1),(28,1),(51,1),(53,1)}
       40:{2,3,4,6}:{(28,1),(29,1),(52,1),(53,1),(54,1)}
       41:{1,3,4,5}:{(29,1),(54,1),(55,1)}
       42:{2,3,5,6,7}:{(30,1),(47,1),(56,1),(78,1),(84,1),(94,1)}
       43:{2,4,5,7}:{(30,1),(31,1),(48,1),(56,1),(57,1)}
       44:{3,4,5,6}:{(31,1),(57,1)}
       45:{2,3,5,7}:{(32,1),(33,1),(34,1),(59,1)}
       46:{2,4,5,6}:{(33,1),(35,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(42,1),(58,1),(61,1),(64,1),(90,1),(97,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(43,1),(59,1),(61,1)}
       49:{1,3,4,5,6}:{(35,1),(38,1),(44,1),(60,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(61,1),(64,1),(88,1)}
       51:{1,3,5,7}:{(37,1),(38,1),(39,1),(64,1),(65,1)}
       52:{2,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(66,1)}
       53:{2,3,4,7}:{(39,1),(40,1),(65,1),(67,1)}
       54:{1,3,4,6}:{(40,1),(41,1),(66,1),(67,1),(68,1)}
       55:{1,2,4,5}:{(41,1),(68,1),(69,1)}
       56:{2,4,6,7}:{(42,1),(43,1),(61,1),(71,1)}
       57:{3,4,5,7}:{(43,1),(44,1),(71,1)}
       58:{2,3,5,6,7}:{(45,1),(47,1),(72,1),(78,1),(93,1),(94,1)}
       59:{2,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(73,1)}
       60:{3,4,5,6}:{(46,1),(73,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(56,1),(72,1)}
       62:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(57,1),(73,1),(75,1),(76,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(76,1),(77,1)}
       64:{1,3,6,7}:{(50,1),(51,1),(78,1)}
       65:{2,3,5,7}:{(51,1),(52,1),(53,1),(76,1),(78,1),(79,1)}
       66:{1,3,5,6}:{(52,1),(54,1),(77,1),(79,1),(80,1)}
       67:{1,3,4,7}:{(53,1),(54,1),(79,1),(81,1)}
       68:{1,2,4,6}:{(54,1),(55,1),(80,1),(81,1),(82,1)}
       69:{1,2,3,5}:{(55,1),(82,1),(83,1)}
       70:{2,4,5,6,7}:{(56,1),(74,1),(84,1),(94,1)}
       71:{3,4,6,7}:{(56,1),(57,1),(84,1)}
       72:{2,4,6,7}:{(58,1),(59,1),(61,1),(86,1)}
       73:{3,4,5,7}:{(59,1),(60,1),(86,1)}
       74:{1,4,5,6,7}:{(61,1),(70,1),(85,1),(87,1),(97,1)}
       75:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(71,1),(86,1),(87,1),(88,1)}
       76:{2,4,5,7}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
       79:{1,3,5,7}:{(65,1),(66,1),(67,1),(89,1),(90,1),(91,1)}
       80:{1,2,5,6}:{(66,1),(68,1),(91,1)}
       81:{1,2,4,7}:{(67,1),(68,1),(91,1),(92,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,3,4}:{(69,1)}
       84:{3,5,6,7}:{(70,1),(71,1)}
       85:{2,4,5,6,7}:{(72,1),(74,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(72,1),(73,1),(93,1)}
       87:{1,3,5,6,7}:{(74,1),(75,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(75,1),(76,1),(78,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(76,1),(77,1),(79,1),(95,1)}
       90:{1,3,6,7}:{(78,1),(79,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
       92:{1,2,3,7}:{(81,1),(82,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2629 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2630 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2631 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2632 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2633 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2634 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2635 :   0:{2,3,4,5,6}:{(1,1),(2,1),(31,1),(66,1),(115,1),(166,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(48,1),(147,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(19,1),(85,1),(136,1),(149,1),(150,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(39,1),(58,1),(79,1),(182,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(70,1),(115,1),(122,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(13,1),(33,1),(125,1),(127,1)}
         6:{2,4,5,6}:{(2,1),(13,1),(14,1),(108,1),(155,1)}
         7:{2,3,4,5,7}:{(3,1),(15,1),(16,1),(80,1),(170,1)}
         8:{1,3,4,5,6}:{(3,1),(16,1),(17,1),(41,1),(53,1),(101,1),(172,1),(173,1)}
         9:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(49,1),(93,1),(143,1),(148,1),(149,1)}
        10:{3,4,5,6,7}:{(20,1),(146,1),(173,1)}
        11:{2,3,5,6,7}:{(4,1),(20,1),(21,1),(139,1)}
        12:{1,3,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(51,1),(99,1),(102,1),(136,1)}
        13:{2,4,5,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{2,3,5,6}:{(6,1),(19,1),(23,1),(24,1),(130,1),(168,1)}
        15:{2,3,4,6,7}:{(7,1),(27,1),(28,1),(79,1),(106,1),(153,1)}
        16:{1,3,4,5,7}:{(7,1),(8,1),(28,1),(29,1),(60,1),(156,1),(158,1)}
        17:{2,4,5,6}:{(8,1),(29,1),(30,1),(72,1),(124,1)}
        18:{1,2,4,5,7}:{(9,1),(13,1),(32,1),(33,1),(71,1),(123,1),(125,1)}
        19:{1,3,5,6}:{(9,1),(14,1),(31,1),(33,1),(34,1),(117,1),(161,1)}
        20:{2,4,5,6,7}:{(10,1),(11,1),(35,1),(122,1),(159,1)}
        21:{1,3,5,6,7}:{(11,1),(12,1),(35,1),(36,1),(76,1),(157,1)}
        22:{2,4,6,7}:{(12,1),(13,1),(36,1),(37,1),(155,1)}
        23:{2,3,5,7}:{(13,1),(14,1),(33,1),(37,1),(38,1)}
        24:{2,3,4,6}:{(14,1),(34,1),(38,1),(39,1)}
        25:{1,2,4,5,6}:{(17,1),(40,1),(41,1),(81,1),(93,1),(143,1),(171,1),(172,1)}
        26:{3,4,5,6,7}:{(42,1),(150,1),(169,1)}
        27:{2,3,5,6,7}:{(15,1),(42,1),(43,1),(104,1)}
        28:{1,3,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(83,1),(101,1),(134,1),(137,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{2,3,5,6}:{(17,1),(41,1),(45,1),(46,1),(95,1),(145,1)}
        31:{2,3,5,6}:{(19,1),(48,1),(49,1),(95,1),(145,1),(148,1)}
        32:{1,2,4,6,7}:{(18,1),(22,1),(50,1),(51,1),(97,1),(99,1),(143,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(23,1),(48,1),(51,1),(52,1)}
        34:{1,3,4,6}:{(19,1),(24,1),(49,1),(52,1),(53,1)}
        35:{1,4,5,6,7}:{(20,1),(21,1),(54,1),(99,1),(172,1)}
        36:{2,5,6,7}:{(21,1),(22,1),(171,1)}
        37:{2,3,6,7}:{(22,1),(23,1),(51,1),(168,1)}
        38:{2,3,4,7}:{(23,1),(24,1),(52,1)}
        39:{2,3,4,5}:{(24,1),(53,1),(130,1)}
        40:{1,2,4,5,7}:{(25,1),(29,1),(59,1),(60,1),(107,1),(154,1),(156,1)}
        41:{1,3,5,6}:{(25,1),(30,1),(58,1),(60,1),(61,1),(117,1),(161,1)}
        42:{2,4,5,6,7}:{(26,1),(27,1),(62,1),(128,1),(153,1)}
        43:{1,3,5,6,7}:{(27,1),(28,1),(62,1),(63,1),(112,1),(126,1)}
        44:{2,4,6,7}:{(28,1),(29,1),(63,1),(64,1),(124,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(60,1),(64,1),(65,1)}
        46:{2,3,4,6}:{(30,1),(61,1),(65,1),(66,1)}
        47:{1,2,3,5,6}:{(31,1),(58,1),(67,1),(68,1),(117,1),(161,1),(162,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(123,1)}
        49:{2,4,6}:{(31,1),(34,1),(71,1),(72,1)}
        50:{1,2,5,6,7}:{(32,1),(36,1),(73,1),(123,1),(162,1)}
        51:{1,3,6,7}:{(32,1),(33,1),(37,1),(70,1),(161,1)}
        52:{1,3,4,7}:{(33,1),(34,1),(38,1),(71,1)}
        53:{1,3,4,5}:{(34,1),(39,1),(72,1),(117,1)}
        54:{2,4,5,6,7}:{(35,1),(36,1),(76,1),(77,1),(182,1)}
        55:{2,3,5,6,7}:{(36,1),(37,1),(73,1),(76,1),(77,1),(78,1),(180,1)}
        56:{2,3,4,6,7}:{(37,1),(38,1),(74,1),(77,1),(78,1),(79,1)}
        57:{2,3,4,5,7}:{(38,1),(39,1),(75,1),(78,1),(79,1),(152,1),(179,1)}
        58:{2,3,5,6}:{(41,1),(80,1),(81,1),(130,1),(168,1),(171,1)}
        59:{1,2,4,6,7}:{(40,1),(44,1),(82,1),(83,1),(132,1),(134,1),(143,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(45,1),(80,1),(83,1),(84,1)}
        61:{1,3,4,6}:{(41,1),(46,1),(81,1),(84,1),(85,1)}
        62:{1,4,5,6,7}:{(42,1),(43,1),(86,1),(134,1),(149,1)}
        63:{2,5,6,7}:{(43,1),(44,1),(148,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(145,1)}
        65:{2,3,4,7}:{(45,1),(46,1),(84,1)}
        66:{2,3,4,5}:{(46,1),(85,1),(95,1)}
        67:{1,2,3,5,7}:{(47,1),(48,1),(80,1),(91,1),(92,1),(141,1),(142,1)}
        68:{1,2,4,6}:{(47,1),(49,1),(81,1),(90,1),(92,1),(93,1)}
        69:{2,3,4,6}:{(49,1),(90,1),(94,1),(95,1),(145,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(97,1),(145,1)}
        71:{2,4,7}:{(48,1),(49,1),(52,1)}
        72:{2,4,5}:{(49,1),(53,1),(95,1)}
        73:{1,3,5,6,7}:{(50,1),(51,1),(55,1),(96,1),(99,1),(100,1),(175,1)}
        74:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(97,1),(99,1),(100,1),(101,1),(146,1)}
        75:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(98,1),(100,1),(101,1),(141,1),(174,1),(176,1)}
        76:{3,5,6,7}:{(54,1),(102,1),(187,1)}
        77:{2,4,6,7}:{(55,1),(99,1),(102,1),(103,1),(186,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,3,4,6}:{(57,1),(101,1),(104,1),(168,1),(186,1)}
        80:{2,3,5,7}:{(58,1),(60,1),(106,1),(107,1),(154,1)}
        81:{2,4,6}:{(58,1),(61,1),(107,1),(108,1)}
        82:{1,2,5,6,7}:{(59,1),(63,1),(109,1),(154,1),(162,1)}
        83:{1,3,6,7}:{(59,1),(60,1),(64,1),(106,1),(161,1)}
        84:{1,3,4,7}:{(60,1),(61,1),(65,1),(107,1)}
        85:{1,3,4,5}:{(61,1),(66,1),(108,1),(117,1)}
        86:{2,4,5,6,7}:{(62,1),(63,1),(112,1),(113,1),(166,1)}
        87:{2,3,5,6,7}:{(63,1),(64,1),(109,1),(112,1),(113,1),(114,1),(164,1)}
        88:{2,3,4,6,7}:{(64,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,4,5,7}:{(65,1),(66,1),(111,1),(114,1),(115,1),(121,1),(163,1)}
        90:{1,3,4,6}:{(68,1),(69,1),(105,1),(116,1),(117,1),(161,1)}
        91:{1,2,3,6,7}:{(67,1),(70,1),(106,1),(118,1),(161,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(71,1),(107,1),(116,1)}
        93:{1,2,4,5}:{(68,1),(72,1),(108,1),(117,1)}
        94:{2,3,4,7}:{(69,1),(71,1),(116,1),(121,1)}
        95:{2,3,5}:{(69,1),(72,1),(117,1)}
        96:{2,3,5,6,7}:{(70,1),(73,1),(122,1),(123,1),(164,1),(165,1)}
        97:{2,4,6,7}:{(70,1),(71,1),(74,1),(123,1),(124,1)}
        98:{2,4,5,7}:{(71,1),(72,1),(75,1),(121,1),(123,1),(124,1)}
        99:{1,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(183,1)}
       100:{1,3,5,7}:{(74,1),(78,1),(123,1),(125,1),(126,1),(165,1)}
       101:{1,3,4,6}:{(75,1),(79,1),(124,1),(126,1),(161,1),(183,1),(184,1)}
       102:{3,4,6,7}:{(76,1),(77,1),(127,1),(188,1)}
       103:{2,4,5,7}:{(77,1),(78,1),(125,1),(127,1),(128,1)}
       104:{2,3,5,6}:{(78,1),(79,1),(126,1),(128,1)}
       105:{2,3,4,6}:{(81,1),(90,1),(129,1),(130,1),(168,1)}
       106:{2,3,6,7}:{(80,1),(83,1),(132,1),(168,1)}
       107:{2,4,7}:{(80,1),(81,1),(84,1)}
       108:{2,4,5}:{(81,1),(85,1),(130,1)}
       109:{1,3,5,6,7}:{(82,1),(83,1),(87,1),(131,1),(134,1),(135,1),(175,1)}
       110:{1,3,4,6,7}:{(83,1),(84,1),(88,1),(132,1),(134,1),(135,1),(136,1),(169,1)}
       111:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(133,1),(135,1),(136,1),(141,1),(174,1),(185,1)}
       112:{3,5,6,7}:{(86,1),(137,1),(178,1)}
       113:{2,4,6,7}:{(87,1),(134,1),(137,1),(138,1),(177,1)}
       114:{2,3,5,7}:{(88,1),(135,1),(138,1),(139,1)}
       115:{2,3,4,6}:{(89,1),(136,1),(139,1),(145,1),(177,1)}
       116:{1,3,4,7}:{(90,1),(92,1),(94,1),(129,1),(141,1)}
       117:{1,3,5}:{(90,1),(93,1),(95,1),(130,1)}
       118:{1,2,4,6,7}:{(91,1),(92,1),(97,1),(132,1),(140,1),(142,1),(143,1)}
       119:{1,2,4,5,7}:{(92,1),(93,1),(98,1),(133,1),(141,1),(142,1),(143,1),(174,1)}
       120:{2,3,4,6,7}:{(94,1),(97,1),(140,1),(144,1),(145,1),(146,1),(177,1)}
       121:{2,3,5,7}:{(94,1),(95,1),(98,1),(141,1),(145,1)}
       122:{2,4,6,7}:{(96,1),(99,1),(146,1),(147,1),(177,1)}
       123:{2,5,7}:{(97,1),(100,1),(148,1)}
       124:{2,4,6}:{(98,1),(101,1),(145,1),(148,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(147,1),(149,1)}
       126:{1,3,5,6}:{(100,1),(101,1),(104,1),(148,1),(149,1),(178,1)}
       127:{3,4,5,7}:{(102,1),(103,1),(150,1)}
       128:{2,4,5,6}:{(103,1),(104,1),(149,1),(150,1),(186,1)}
       129:{2,3,4,7}:{(105,1),(107,1),(116,1),(152,1)}
       130:{2,3,5}:{(105,1),(108,1),(117,1)}
       131:{2,3,5,6,7}:{(106,1),(109,1),(153,1),(154,1),(180,1),(181,1)}
       132:{2,4,6,7}:{(106,1),(107,1),(110,1),(154,1),(155,1)}
       133:{2,4,5,7}:{(107,1),(108,1),(111,1),(152,1),(154,1),(155,1)}
       134:{1,4,6,7}:{(109,1),(113,1),(153,1),(156,1),(183,1)}
       135:{1,3,5,7}:{(110,1),(114,1),(154,1),(156,1),(157,1),(181,1)}
       136:{1,3,4,6}:{(111,1),(115,1),(155,1),(157,1),(161,1),(183,1),(188,1)}
       137:{3,4,6,7}:{(112,1),(113,1),(158,1),(184,1)}
       138:{2,4,5,7}:{(113,1),(114,1),(156,1),(158,1),(159,1)}
       139:{2,3,5,6}:{(114,1),(115,1),(157,1),(159,1)}
       140:{1,3,4,6,7}:{(116,1),(118,1),(120,1),(151,1),(160,1),(161,1),(183,1)}
       141:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(152,1),(161,1)}
       142:{1,2,5,7}:{(118,1),(123,1),(154,1),(160,1),(162,1)}
       143:{1,2,4,6}:{(119,1),(124,1),(155,1),(161,1),(162,1),(183,1)}
       144:{2,3,5,7}:{(120,1),(123,1),(160,1),(163,1),(164,1),(165,1)}
       145:{2,3,6}:{(121,1),(124,1),(161,1)}
       146:{3,4,6,7}:{(122,1),(165,1),(184,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(125,1),(165,1),(166,1)}
       148:{2,5,6}:{(123,1),(124,1),(126,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(128,1),(166,1),(183,1)}
       150:{3,4,5,6}:{(127,1),(128,1),(188,1)}
       151:{2,3,4,6,7}:{(129,1),(132,1),(140,1),(167,1),(168,1),(169,1),(186,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(141,1),(168,1)}
       153:{2,4,6,7}:{(131,1),(134,1),(169,1),(170,1),(186,1)}
       154:{2,5,7}:{(132,1),(135,1),(171,1)}
       155:{2,4,6}:{(133,1),(136,1),(168,1),(171,1)}
       156:{1,4,5,7}:{(134,1),(135,1),(138,1),(170,1),(172,1)}
       157:{1,3,5,6}:{(135,1),(136,1),(139,1),(171,1),(172,1),(187,1)}
       158:{3,4,5,7}:{(137,1),(138,1),(173,1)}
       159:{2,4,5,6}:{(138,1),(139,1),(172,1),(173,1),(177,1)}
       160:{1,3,5,7}:{(140,1),(142,1),(144,1),(167,1),(174,1),(175,1)}
       161:{1,3,6}:{(141,1),(143,1),(145,1),(168,1)}
       162:{1,2,5,6}:{(142,1),(143,1),(148,1),(171,1),(175,1)}
       163:{2,4,5,7}:{(144,1),(174,1),(176,1),(177,1)}
       164:{2,3,5,6}:{(144,1),(145,1),(148,1),(175,1),(177,1),(178,1)}
       165:{3,5,7}:{(146,1),(147,1),(178,1)}
       166:{2,4,5,6}:{(147,1),(148,1),(149,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(151,1),(154,1),(160,1),(179,1),(180,1),(181,1)}
       168:{2,3,6}:{(152,1),(155,1),(161,1)}
       169:{3,4,6,7}:{(153,1),(181,1),(188,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(156,1),(181,1),(182,1)}
       171:{2,5,6}:{(154,1),(155,1),(157,1)}
       172:{1,4,5,6}:{(156,1),(157,1),(159,1),(182,1),(183,1)}
       173:{3,4,5,6}:{(158,1),(159,1),(184,1)}
       174:{1,4,5,7}:{(160,1),(163,1),(179,1),(183,1)}
       175:{1,3,5,6}:{(160,1),(161,1),(162,1),(164,1),(180,1),(183,1)}
       176:{3,4,5,7}:{(163,1),(165,1),(184,1)}
       177:{2,4,6}:{(163,1),(164,1),(183,1),(184,1)}
       178:{3,5,6}:{(165,1),(166,1),(184,1)}
       179:{2,4,5,7}:{(167,1),(174,1),(185,1),(186,1)}
       180:{2,3,5,6}:{(167,1),(168,1),(171,1),(175,1),(186,1),(187,1)}
       181:{3,5,7}:{(169,1),(170,1),(187,1)}
       182:{2,4,5,6}:{(170,1),(171,1),(172,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{2,4,6}:{(179,1),(180,1),(183,1),(188,1)}
       187:{3,5,6}:{(181,1),(182,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2636 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2637 :   0:{2,3,4,5,6}:{(1,1),(2,1),(29,1),(61,1),(112,1),(165,1)}
         1:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(17,1),(82,1),(134,1),(149,1),(150,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(48,1),(147,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(33,1),(57,1),(76,1),(181,1)}
         4:{2,4,5,6}:{(1,1),(10,1),(11,1),(106,1),(153,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(12,1),(31,1),(126,1),(128,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(13,1),(72,1),(112,1),(124,1)}
         7:{1,3,4,5,6}:{(3,1),(14,1),(15,1),(39,1),(49,1),(99,1),(172,1),(173,1)}
         8:{2,3,4,5,7}:{(3,1),(15,1),(16,1),(81,1),(170,1)}
         9:{1,2,4,5,6}:{(4,1),(17,1),(18,1),(47,1),(91,1),(142,1),(146,1),(149,1)}
        10:{2,3,5,6}:{(4,1),(17,1),(19,1),(20,1),(129,1),(167,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        12:{1,3,4,6,7}:{(5,1),(6,1),(21,1),(22,1),(51,1),(101,1),(104,1),(134,1)}
        13:{2,3,5,6,7}:{(6,1),(22,1),(23,1),(137,1)}
        14:{2,4,5,6}:{(7,1),(25,1),(26,1),(70,1),(122,1)}
        15:{1,3,4,5,7}:{(7,1),(8,1),(26,1),(27,1),(59,1),(157,1),(159,1)}
        16:{2,3,4,6,7}:{(8,1),(27,1),(28,1),(76,1),(108,1),(155,1)}
        17:{1,3,5,6}:{(9,1),(10,1),(29,1),(30,1),(31,1),(116,1),(160,1)}
        18:{1,2,4,5,7}:{(9,1),(11,1),(31,1),(32,1),(71,1),(123,1),(126,1)}
        19:{2,3,4,6}:{(10,1),(30,1),(33,1),(34,1)}
        20:{2,3,5,7}:{(10,1),(11,1),(31,1),(34,1),(35,1)}
        21:{2,4,6,7}:{(11,1),(12,1),(35,1),(36,1),(153,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(36,1),(37,1),(79,1),(156,1)}
        23:{2,4,5,6,7}:{(13,1),(37,1),(38,1),(124,1),(158,1)}
        24:{1,2,4,5,6}:{(14,1),(39,1),(40,1),(80,1),(91,1),(142,1),(169,1),(172,1)}
        25:{2,3,5,6}:{(14,1),(39,1),(41,1),(42,1),(94,1),(144,1)}
        26:{2,4,5,7}:{(14,1),(15,1),(42,1),(43,1)}
        27:{1,3,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(84,1),(99,1),(136,1),(139,1)}
        28:{2,3,5,6,7}:{(16,1),(44,1),(45,1),(102,1)}
        29:{2,3,5,6}:{(17,1),(47,1),(48,1),(94,1),(144,1),(146,1)}
        30:{1,3,4,6}:{(17,1),(19,1),(47,1),(49,1),(50,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(20,1),(48,1),(50,1),(51,1)}
        32:{1,2,4,6,7}:{(18,1),(21,1),(51,1),(52,1),(97,1),(101,1),(142,1)}
        33:{2,3,4,5}:{(19,1),(49,1),(129,1)}
        34:{2,3,4,7}:{(19,1),(20,1),(50,1)}
        35:{2,3,6,7}:{(20,1),(21,1),(51,1),(167,1)}
        36:{2,5,6,7}:{(21,1),(22,1),(169,1)}
        37:{1,4,5,6,7}:{(22,1),(23,1),(56,1),(101,1),(172,1)}
        38:{3,4,5,6,7}:{(23,1),(148,1),(173,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(57,1),(58,1),(59,1),(116,1),(160,1)}
        40:{1,2,4,5,7}:{(24,1),(26,1),(59,1),(60,1),(107,1),(154,1),(157,1)}
        41:{2,3,4,6}:{(25,1),(58,1),(61,1),(62,1)}
        42:{2,3,5,7}:{(25,1),(26,1),(59,1),(62,1),(63,1)}
        43:{2,4,6,7}:{(26,1),(27,1),(63,1),(64,1),(122,1)}
        44:{1,3,5,6,7}:{(27,1),(28,1),(64,1),(65,1),(115,1),(125,1)}
        45:{2,4,5,6,7}:{(28,1),(65,1),(66,1),(127,1),(155,1)}
        46:{1,2,3,5,6}:{(29,1),(57,1),(67,1),(68,1),(116,1),(160,1),(162,1)}
        47:{2,4,6}:{(29,1),(30,1),(70,1),(71,1)}
        48:{2,3,5,7}:{(29,1),(31,1),(71,1),(72,1),(123,1)}
        49:{1,3,4,5}:{(30,1),(33,1),(70,1),(116,1)}
        50:{1,3,4,7}:{(30,1),(31,1),(34,1),(71,1)}
        51:{1,3,6,7}:{(31,1),(32,1),(35,1),(72,1),(160,1)}
        52:{1,2,5,6,7}:{(32,1),(36,1),(75,1),(123,1),(162,1)}
        53:{2,3,4,5,7}:{(33,1),(34,1),(73,1),(76,1),(77,1),(151,1),(180,1)}
        54:{2,3,4,6,7}:{(34,1),(35,1),(74,1),(76,1),(77,1),(78,1)}
        55:{2,3,5,6,7}:{(35,1),(36,1),(75,1),(77,1),(78,1),(79,1),(179,1)}
        56:{2,4,5,6,7}:{(36,1),(37,1),(78,1),(79,1),(181,1)}
        57:{2,3,5,6}:{(39,1),(80,1),(81,1),(129,1),(167,1),(169,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(80,1),(82,1),(83,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(42,1),(81,1),(83,1),(84,1)}
        60:{1,2,4,6,7}:{(40,1),(43,1),(84,1),(85,1),(132,1),(136,1),(142,1)}
        61:{2,3,4,5}:{(41,1),(82,1),(94,1)}
        62:{2,3,4,7}:{(41,1),(42,1),(83,1)}
        63:{2,3,6,7}:{(42,1),(43,1),(84,1),(144,1)}
        64:{2,5,6,7}:{(43,1),(44,1),(146,1)}
        65:{1,4,5,6,7}:{(44,1),(45,1),(89,1),(136,1),(149,1)}
        66:{3,4,5,6,7}:{(45,1),(150,1),(171,1)}
        67:{1,2,4,6}:{(46,1),(47,1),(80,1),(90,1),(91,1),(92,1)}
        68:{1,2,3,5,7}:{(46,1),(48,1),(81,1),(92,1),(93,1),(140,1),(143,1)}
        69:{2,3,4,6}:{(47,1),(90,1),(94,1),(95,1),(144,1)}
        70:{2,4,5}:{(47,1),(49,1),(94,1)}
        71:{2,4,7}:{(47,1),(48,1),(50,1)}
        72:{2,3,6,7}:{(48,1),(51,1),(97,1),(144,1)}
        73:{1,3,4,5,7}:{(49,1),(50,1),(53,1),(96,1),(99,1),(100,1),(140,1),(175,1),(177,1)}
        74:{1,3,4,6,7}:{(50,1),(51,1),(54,1),(97,1),(99,1),(100,1),(101,1),(148,1)}
        75:{1,3,5,6,7}:{(51,1),(52,1),(55,1),(98,1),(100,1),(101,1),(174,1)}
        76:{2,3,4,6}:{(53,1),(99,1),(102,1),(167,1),(185,1)}
        77:{2,3,5,7}:{(54,1),(100,1),(102,1),(103,1)}
        78:{2,4,6,7}:{(55,1),(101,1),(103,1),(104,1),(185,1)}
        79:{3,5,6,7}:{(56,1),(104,1),(187,1)}
        80:{2,4,6}:{(57,1),(58,1),(106,1),(107,1)}
        81:{2,3,5,7}:{(57,1),(59,1),(107,1),(108,1),(154,1)}
        82:{1,3,4,5}:{(58,1),(61,1),(106,1),(116,1)}
        83:{1,3,4,7}:{(58,1),(59,1),(62,1),(107,1)}
        84:{1,3,6,7}:{(59,1),(60,1),(63,1),(108,1),(160,1)}
        85:{1,2,5,6,7}:{(60,1),(64,1),(111,1),(154,1),(162,1)}
        86:{2,3,4,5,7}:{(61,1),(62,1),(109,1),(112,1),(113,1),(120,1),(164,1)}
        87:{2,3,4,6,7}:{(62,1),(63,1),(110,1),(112,1),(113,1),(114,1)}
        88:{2,3,5,6,7}:{(63,1),(64,1),(111,1),(113,1),(114,1),(115,1),(163,1)}
        89:{2,4,5,6,7}:{(64,1),(65,1),(114,1),(115,1),(165,1)}
        90:{1,3,4,6}:{(67,1),(69,1),(105,1),(116,1),(117,1),(160,1)}
        91:{1,2,4,5}:{(67,1),(70,1),(106,1),(116,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(71,1),(107,1),(117,1)}
        93:{1,2,3,6,7}:{(68,1),(72,1),(108,1),(119,1),(160,1)}
        94:{2,3,5}:{(69,1),(70,1),(116,1)}
        95:{2,3,4,7}:{(69,1),(71,1),(117,1),(120,1)}
        96:{2,4,5,7}:{(70,1),(71,1),(73,1),(120,1),(122,1),(123,1)}
        97:{2,4,6,7}:{(71,1),(72,1),(74,1),(122,1),(123,1)}
        98:{2,3,5,6,7}:{(72,1),(75,1),(123,1),(124,1),(163,1),(166,1)}
        99:{1,3,4,6}:{(73,1),(76,1),(122,1),(125,1),(160,1),(183,1),(184,1)}
       100:{1,3,5,7}:{(74,1),(77,1),(123,1),(125,1),(126,1),(166,1)}
       101:{1,4,6,7}:{(75,1),(78,1),(124,1),(126,1),(183,1)}
       102:{2,3,5,6}:{(76,1),(77,1),(125,1),(127,1)}
       103:{2,4,5,7}:{(77,1),(78,1),(126,1),(127,1),(128,1)}
       104:{3,4,6,7}:{(78,1),(79,1),(128,1),(188,1)}
       105:{2,3,4,6}:{(80,1),(90,1),(129,1),(130,1),(167,1)}
       106:{2,4,5}:{(80,1),(82,1),(129,1)}
       107:{2,4,7}:{(80,1),(81,1),(83,1)}
       108:{2,3,6,7}:{(81,1),(84,1),(132,1),(167,1)}
       109:{1,3,4,5,7}:{(82,1),(83,1),(86,1),(131,1),(134,1),(135,1),(140,1),(175,1),(186,1)}
       110:{1,3,4,6,7}:{(83,1),(84,1),(87,1),(132,1),(134,1),(135,1),(136,1),(171,1)}
       111:{1,3,5,6,7}:{(84,1),(85,1),(88,1),(133,1),(135,1),(136,1),(174,1)}
       112:{2,3,4,6}:{(86,1),(134,1),(137,1),(144,1),(176,1)}
       113:{2,3,5,7}:{(87,1),(135,1),(137,1),(138,1)}
       114:{2,4,6,7}:{(88,1),(136,1),(138,1),(139,1),(176,1)}
       115:{3,5,6,7}:{(89,1),(139,1),(178,1)}
       116:{1,3,5}:{(90,1),(91,1),(94,1),(129,1)}
       117:{1,3,4,7}:{(90,1),(92,1),(95,1),(130,1),(140,1)}
       118:{1,2,4,5,7}:{(91,1),(92,1),(96,1),(131,1),(140,1),(142,1),(143,1),(175,1)}
       119:{1,2,4,6,7}:{(92,1),(93,1),(97,1),(132,1),(141,1),(142,1),(143,1)}
       120:{2,3,5,7}:{(94,1),(95,1),(96,1),(140,1),(144,1)}
       121:{2,3,4,6,7}:{(95,1),(97,1),(141,1),(144,1),(145,1),(148,1),(176,1)}
       122:{2,4,6}:{(96,1),(99,1),(144,1),(146,1)}
       123:{2,5,7}:{(97,1),(100,1),(146,1)}
       124:{2,4,6,7}:{(98,1),(101,1),(147,1),(148,1),(176,1)}
       125:{1,3,5,6}:{(99,1),(100,1),(102,1),(146,1),(149,1),(178,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(103,1),(147,1),(149,1)}
       127:{2,4,5,6}:{(102,1),(103,1),(149,1),(150,1),(185,1)}
       128:{3,4,5,7}:{(103,1),(104,1),(150,1)}
       129:{2,3,5}:{(105,1),(106,1),(116,1)}
       130:{2,3,4,7}:{(105,1),(107,1),(117,1),(151,1)}
       131:{2,4,5,7}:{(106,1),(107,1),(109,1),(151,1),(153,1),(154,1)}
       132:{2,4,6,7}:{(107,1),(108,1),(110,1),(153,1),(154,1)}
       133:{2,3,5,6,7}:{(108,1),(111,1),(154,1),(155,1),(179,1),(182,1)}
       134:{1,3,4,6}:{(109,1),(112,1),(153,1),(156,1),(160,1),(183,1),(188,1)}
       135:{1,3,5,7}:{(110,1),(113,1),(154,1),(156,1),(157,1),(182,1)}
       136:{1,4,6,7}:{(111,1),(114,1),(155,1),(157,1),(183,1)}
       137:{2,3,5,6}:{(112,1),(113,1),(156,1),(158,1)}
       138:{2,4,5,7}:{(113,1),(114,1),(157,1),(158,1),(159,1)}
       139:{3,4,6,7}:{(114,1),(115,1),(159,1),(184,1)}
       140:{1,3,5,7}:{(116,1),(117,1),(118,1),(120,1),(151,1),(160,1)}
       141:{1,3,4,6,7}:{(117,1),(119,1),(121,1),(152,1),(160,1),(161,1),(183,1)}
       142:{1,2,4,6}:{(118,1),(122,1),(153,1),(160,1),(162,1),(183,1)}
       143:{1,2,5,7}:{(119,1),(123,1),(154,1),(161,1),(162,1)}
       144:{2,3,6}:{(120,1),(122,1),(160,1)}
       145:{2,3,5,7}:{(121,1),(123,1),(161,1),(163,1),(164,1),(166,1)}
       146:{2,5,6}:{(122,1),(123,1),(125,1)}
       147:{2,4,5,7}:{(123,1),(124,1),(126,1),(165,1),(166,1)}
       148:{3,4,6,7}:{(124,1),(166,1),(184,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(127,1),(165,1),(183,1)}
       150:{3,4,5,6}:{(127,1),(128,1),(188,1)}
       151:{2,3,5,7}:{(129,1),(130,1),(131,1),(140,1),(167,1)}
       152:{2,3,4,6,7}:{(130,1),(132,1),(141,1),(167,1),(168,1),(171,1),(185,1)}
       153:{2,4,6}:{(131,1),(134,1),(167,1),(169,1)}
       154:{2,5,7}:{(132,1),(135,1),(169,1)}
       155:{2,4,6,7}:{(133,1),(136,1),(170,1),(171,1),(185,1)}
       156:{1,3,5,6}:{(134,1),(135,1),(137,1),(169,1),(172,1),(187,1)}
       157:{1,4,5,7}:{(135,1),(136,1),(138,1),(170,1),(172,1)}
       158:{2,4,5,6}:{(137,1),(138,1),(172,1),(173,1),(176,1)}
       159:{3,4,5,7}:{(138,1),(139,1),(173,1)}
       160:{1,3,6}:{(140,1),(142,1),(144,1),(167,1)}
       161:{1,3,5,7}:{(141,1),(143,1),(145,1),(168,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(142,1),(143,1),(146,1),(169,1),(174,1)}
       163:{2,3,5,6}:{(144,1),(145,1),(146,1),(174,1),(176,1),(178,1)}
       164:{2,4,5,7}:{(145,1),(175,1),(176,1),(177,1)}
       165:{2,4,5,6}:{(146,1),(147,1),(149,1),(176,1),(178,1)}
       166:{3,5,7}:{(147,1),(148,1),(178,1)}
       167:{2,3,6}:{(151,1),(153,1),(160,1)}
       168:{2,3,5,7}:{(152,1),(154,1),(161,1),(179,1),(180,1),(182,1)}
       169:{2,5,6}:{(153,1),(154,1),(156,1)}
       170:{2,4,5,7}:{(154,1),(155,1),(157,1),(181,1),(182,1)}
       171:{3,4,6,7}:{(155,1),(182,1),(188,1)}
       172:{1,4,5,6}:{(156,1),(157,1),(158,1),(181,1),(183,1)}
       173:{3,4,5,6}:{(158,1),(159,1),(184,1)}
       174:{1,3,5,6}:{(160,1),(161,1),(162,1),(163,1),(179,1),(183,1)}
       175:{1,4,5,7}:{(161,1),(164,1),(180,1),(183,1)}
       176:{2,4,6}:{(163,1),(164,1),(183,1),(184,1)}
       177:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       178:{3,5,6}:{(165,1),(166,1),(184,1)}
       179:{2,3,5,6}:{(167,1),(168,1),(169,1),(174,1),(185,1),(187,1)}
       180:{2,4,5,7}:{(168,1),(175,1),(185,1),(186,1)}
       181:{2,4,5,6}:{(169,1),(170,1),(172,1),(185,1),(187,1)}
       182:{3,5,7}:{(170,1),(171,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(176,1),(185,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{2,4,6}:{(179,1),(180,1),(183,1),(188,1)}
       186:{3,4,5,7}:{(180,1),(182,1),(188,1)}
       187:{3,5,6}:{(181,1),(182,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2638 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2639 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2640 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2641 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2642 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(107,1),(145,1),(150,1)}
         1:{3,4,5,6,7}:{(4,1),(123,1),(184,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(42,1),(124,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(76,1),(119,1),(125,1),(160,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(98,1),(177,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(55,1),(98,1),(150,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(29,1),(53,1),(99,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(135,1),(171,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(166,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(74,1),(183,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(74,1),(160,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(43,1),(71,1),(121,1),(125,1),(128,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(20,1)}
        13:{2,3,5,6}:{(7,1),(19,1),(20,1),(21,1),(113,1),(155,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(174,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(52,1),(187,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(171,1)}
        17:{2,3,4,5,6}:{(26,1),(27,1),(32,1),(65,1),(88,1),(187,1)}
        18:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(29,1),(62,1),(99,1),(103,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(30,1),(95,1),(142,1)}
        20:{2,3,5,7}:{(12,1),(13,1),(25,1),(29,1),(31,1)}
        21:{2,3,4,6}:{(13,1),(30,1),(31,1),(32,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(182,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(188,1)}
        24:{1,2,4,6,7}:{(16,1),(18,1),(34,1),(37,1),(74,1),(78,1),(121,1)}
        25:{2,3,6,7}:{(16,1),(20,1),(37,1),(155,1)}
        26:{2,3,4,5,7}:{(17,1),(39,1),(40,1),(110,1),(180,1)}
        27:{1,3,4,5,6}:{(17,1),(40,1),(41,1),(45,1),(68,1),(87,1),(183,1),(184,1)}
        28:{2,3,5,6}:{(19,1),(42,1),(43,1),(85,1),(128,1),(131,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(37,1),(42,1),(44,1)}
        30:{1,3,4,6}:{(19,1),(21,1),(43,1),(44,1),(45,1)}
        31:{2,3,4,7}:{(20,1),(21,1),(44,1)}
        32:{2,3,4,5}:{(21,1),(45,1),(113,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(88,1),(95,1),(139,1),(142,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(51,1),(103,1),(139,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(51,1),(52,1),(57,1),(169,1)}
        36:{3,4,6,7}:{(23,1),(52,1),(53,1),(186,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(29,1),(55,1),(142,1)}
        38:{2,3,4,6,7}:{(25,1),(31,1),(52,1),(56,1),(57,1),(65,1)}
        39:{2,3,4,6,7}:{(26,1),(54,1),(58,1),(65,1),(133,1),(167,1)}
        40:{1,3,4,5,7}:{(26,1),(27,1),(58,1),(59,1),(92,1),(172,1),(175,1)}
        41:{2,4,5,6}:{(27,1),(59,1),(60,1),(63,1),(109,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(55,1),(62,1),(103,1)}
        43:{2,4,6}:{(28,1),(30,1),(62,1),(63,1)}
        44:{1,3,4,7}:{(29,1),(30,1),(31,1),(62,1)}
        45:{1,3,4,5}:{(30,1),(32,1),(63,1),(95,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(57,1),(64,1),(65,1),(136,1),(168,1)}
        47:{1,2,4,5,6}:{(41,1),(67,1),(68,1),(71,1),(111,1),(121,1),(182,1),(183,1)}
        48:{1,2,3,5,7}:{(33,1),(42,1),(66,1),(70,1),(110,1),(116,1),(120,1)}
        49:{1,2,4,6}:{(33,1),(43,1),(69,1),(70,1),(71,1),(111,1)}
        50:{3,4,5,6,7}:{(72,1),(76,1),(178,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(79,1),(158,1)}
        52:{2,4,6,7}:{(35,1),(36,1),(74,1),(75,1),(181,1)}
        53:{3,4,5,7}:{(36,1),(75,1),(76,1)}
        54:{2,3,5,6,7}:{(39,1),(72,1),(77,1),(80,1)}
        55:{2,3,6,7}:{(37,1),(42,1),(78,1),(131,1)}
        56:{1,3,4,6,7}:{(37,1),(38,1),(44,1),(74,1),(78,1),(79,1),(87,1),(123,1)}
        57:{2,3,5,7}:{(38,1),(75,1),(79,1),(80,1)}
        58:{1,3,4,6,7}:{(39,1),(40,1),(77,1),(81,1),(87,1),(117,1),(156,1),(161,1)}
        59:{2,4,5,7}:{(40,1),(41,1),(81,1),(82,1)}
        60:{2,3,5,6}:{(41,1),(68,1),(82,1),(83,1),(85,1),(131,1)}
        61:{2,3,4,6}:{(43,1),(69,1),(84,1),(85,1),(131,1)}
        62:{2,4,7}:{(42,1),(43,1),(44,1)}
        63:{2,4,5}:{(43,1),(45,1),(85,1)}
        64:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(79,1),(86,1),(87,1),(120,1),(157,1),(162,1)}
        65:{2,3,4,6}:{(46,1),(80,1),(87,1),(155,1),(181,1)}
        66:{1,2,3,6,7}:{(48,1),(55,1),(90,1),(133,1),(142,1)}
        67:{1,2,4,5,7}:{(47,1),(59,1),(91,1),(92,1),(134,1),(170,1),(172,1)}
        68:{1,3,5,6}:{(47,1),(60,1),(88,1),(92,1),(93,1),(95,1),(142,1)}
        69:{1,3,4,6}:{(49,1),(61,1),(89,1),(94,1),(95,1),(142,1)}
        70:{1,2,4,7}:{(48,1),(49,1),(62,1),(94,1),(134,1)}
        71:{1,2,4,5}:{(49,1),(63,1),(95,1),(135,1)}
        72:{2,4,5,6,7}:{(50,1),(54,1),(97,1),(100,1),(167,1)}
        73:{2,3,5,6,7}:{(51,1),(55,1),(98,1),(103,1),(144,1),(148,1)}
        74:{1,4,6,7}:{(51,1),(52,1),(98,1),(99,1),(173,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(57,1),(99,1),(100,1)}
        76:{3,4,5,6}:{(53,1),(100,1),(186,1)}
        77:{1,3,5,6,7}:{(54,1),(58,1),(97,1),(101,1),(104,1),(143,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(62,1),(103,1),(109,1)}
        79:{1,3,5,7}:{(56,1),(57,1),(99,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,6}:{(57,1),(65,1),(100,1),(104,1)}
        81:{2,4,6,7}:{(58,1),(59,1),(101,1),(105,1),(109,1)}
        82:{2,3,5,7}:{(59,1),(60,1),(92,1),(105,1),(106,1)}
        83:{2,3,4,6}:{(60,1),(93,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(94,1),(108,1)}
        85:{2,3,5}:{(61,1),(63,1),(95,1)}
        86:{2,4,5,7}:{(62,1),(63,1),(64,1),(103,1),(108,1),(109,1)}
        87:{1,3,4,6}:{(64,1),(65,1),(104,1),(109,1),(142,1),(173,1),(176,1)}
        88:{2,3,5,6}:{(68,1),(110,1),(111,1),(113,1),(155,1),(182,1)}
        89:{2,3,4,6}:{(69,1),(111,1),(112,1),(113,1),(155,1)}
        90:{1,2,4,6,7}:{(66,1),(70,1),(78,1),(115,1),(116,1),(121,1),(153,1)}
        91:{1,2,4,6,7}:{(67,1),(81,1),(114,1),(117,1),(121,1),(153,1),(156,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(82,1),(110,1),(117,1),(118,1)}
        93:{1,3,4,6}:{(68,1),(83,1),(111,1),(118,1),(119,1)}
        94:{1,3,4,7}:{(69,1),(70,1),(84,1),(112,1),(120,1)}
        95:{1,3,5}:{(69,1),(71,1),(85,1),(113,1)}
        96:{1,2,4,5,7}:{(70,1),(71,1),(86,1),(116,1),(120,1),(121,1),(154,1),(157,1)}
        97:{1,4,5,6,7}:{(72,1),(77,1),(122,1),(125,1),(156,1)}
        98:{2,4,6,7}:{(73,1),(74,1),(123,1),(124,1),(165,1)}
        99:{1,4,5,7}:{(74,1),(75,1),(79,1),(124,1),(125,1)}
       100:{2,4,5,6}:{(75,1),(76,1),(80,1),(125,1),(181,1)}
       101:{2,5,6,7}:{(77,1),(81,1),(128,1)}
       102:{2,3,4,6,7}:{(78,1),(84,1),(115,1),(123,1),(127,1),(131,1),(165,1)}
       103:{2,5,7}:{(78,1),(79,1),(128,1)}
       104:{1,3,5,6}:{(79,1),(80,1),(87,1),(125,1),(128,1),(163,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(117,1),(131,1)}
       106:{2,3,4,7}:{(82,1),(83,1),(118,1)}
       107:{2,3,4,5}:{(83,1),(85,1),(119,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(86,1),(120,1),(131,1)}
       109:{2,4,6}:{(86,1),(87,1),(128,1),(131,1)}
       110:{2,3,5,7}:{(88,1),(92,1),(133,1),(134,1),(170,1)}
       111:{2,4,6}:{(88,1),(93,1),(134,1),(135,1)}
       112:{2,3,4,7}:{(89,1),(94,1),(134,1),(136,1)}
       113:{2,3,5}:{(89,1),(95,1),(135,1)}
       114:{1,2,5,6,7}:{(91,1),(101,1),(137,1),(139,1),(170,1)}
       115:{1,3,4,6,7}:{(90,1),(94,1),(102,1),(132,1),(138,1),(142,1),(173,1)}
       116:{1,2,5,7}:{(90,1),(103,1),(138,1),(139,1),(170,1)}
       117:{1,3,6,7}:{(91,1),(92,1),(105,1),(133,1),(142,1)}
       118:{1,3,4,7}:{(92,1),(93,1),(106,1),(134,1)}
       119:{1,3,4,5}:{(93,1),(95,1),(107,1),(135,1)}
       120:{1,3,5,7}:{(94,1),(95,1),(96,1),(108,1),(136,1),(142,1)}
       121:{1,2,4,6}:{(96,1),(109,1),(139,1),(142,1),(171,1),(173,1)}
       122:{2,4,5,6,7}:{(97,1),(101,1),(143,1),(145,1),(146,1)}
       123:{3,4,6,7}:{(98,1),(144,1),(176,1)}
       124:{2,4,5,7}:{(98,1),(99,1),(103,1),(144,1),(145,1)}
       125:{1,4,5,6}:{(99,1),(100,1),(104,1),(145,1),(173,1)}
       126:{2,3,5,6,7}:{(101,1),(105,1),(137,1),(143,1),(146,1),(148,1),(149,1)}
       127:{2,3,5,7}:{(102,1),(103,1),(138,1),(144,1),(147,1),(148,1)}
       128:{2,5,6}:{(103,1),(104,1),(109,1)}
       129:{2,3,4,6,7}:{(105,1),(106,1),(140,1),(146,1),(149,1),(150,1)}
       130:{2,3,4,5,7}:{(106,1),(107,1),(108,1),(141,1),(147,1),(149,1),(150,1)}
       131:{2,3,6}:{(108,1),(109,1),(142,1)}
       132:{2,3,4,6,7}:{(112,1),(115,1),(152,1),(153,1),(155,1),(178,1),(181,1)}
       133:{2,3,6,7}:{(110,1),(117,1),(153,1),(155,1)}
       134:{2,4,7}:{(110,1),(111,1),(118,1)}
       135:{2,4,5}:{(111,1),(113,1),(119,1)}
       136:{2,3,5,7}:{(112,1),(113,1),(120,1),(154,1),(155,1)}
       137:{1,3,5,6,7}:{(114,1),(117,1),(126,1),(151,1),(156,1),(158,1),(159,1)}
       138:{1,3,5,7}:{(115,1),(116,1),(127,1),(152,1),(157,1),(158,1)}
       139:{1,2,5,6}:{(116,1),(121,1),(128,1),(158,1),(182,1)}
       140:{1,3,4,6,7}:{(117,1),(118,1),(129,1),(153,1),(156,1),(159,1),(160,1),(178,1)}
       141:{1,3,4,5,7}:{(118,1),(119,1),(120,1),(130,1),(154,1),(157,1),(159,1),(160,1),(179,1)}
       142:{1,3,6}:{(120,1),(121,1),(131,1),(155,1)}
       143:{3,5,6,7}:{(122,1),(161,1),(163,1)}
       144:{3,5,7}:{(123,1),(124,1),(163,1)}
       145:{2,4,5,6}:{(124,1),(125,1),(128,1),(163,1),(165,1)}
       146:{2,4,6,7}:{(126,1),(156,1),(161,1),(164,1),(165,1)}
       147:{2,4,5,7}:{(127,1),(157,1),(162,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(163,1),(165,1)}
       149:{2,3,5,7}:{(129,1),(159,1),(164,1),(166,1)}
       150:{2,3,4,6}:{(130,1),(131,1),(160,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(133,1),(137,1),(167,1),(169,1),(170,1),(185,1)}
       152:{2,3,5,7}:{(132,1),(138,1),(168,1),(169,1),(170,1),(185,1)}
       153:{2,4,6,7}:{(133,1),(134,1),(140,1),(170,1),(171,1)}
       154:{2,4,5,7}:{(134,1),(135,1),(136,1),(141,1),(170,1),(171,1)}
       155:{2,3,6}:{(136,1),(142,1),(171,1)}
       156:{1,4,6,7}:{(137,1),(146,1),(167,1),(172,1),(173,1)}
       157:{1,4,5,7}:{(138,1),(147,1),(168,1),(173,1)}
       158:{1,3,5,6}:{(138,1),(139,1),(142,1),(148,1),(169,1),(173,1)}
       159:{1,3,5,7}:{(140,1),(149,1),(170,1),(172,1),(174,1),(185,1)}
       160:{1,3,4,6}:{(141,1),(142,1),(150,1),(171,1),(173,1),(174,1),(186,1)}
       161:{3,4,6,7}:{(143,1),(146,1),(175,1),(176,1)}
       162:{3,4,5,7}:{(144,1),(147,1),(176,1)}
       163:{3,5,6}:{(144,1),(145,1),(176,1)}
       164:{2,4,5,7}:{(146,1),(149,1),(172,1),(175,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(173,1),(176,1)}
       166:{2,3,5,6}:{(149,1),(150,1),(174,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(180,1),(181,1)}
       168:{2,4,5,7}:{(152,1),(157,1),(179,1),(181,1)}
       169:{2,3,5,6}:{(152,1),(155,1),(158,1),(181,1),(182,1),(188,1)}
       170:{2,5,7}:{(153,1),(159,1),(182,1)}
       171:{2,4,6}:{(154,1),(155,1),(160,1),(182,1)}
       172:{1,4,5,7}:{(156,1),(159,1),(164,1),(180,1),(183,1)}
       173:{1,4,6}:{(157,1),(158,1),(165,1),(181,1)}
       174:{1,3,5,6}:{(159,1),(160,1),(166,1),(182,1),(183,1),(188,1)}
       175:{3,4,5,7}:{(161,1),(164,1),(184,1)}
       176:{3,4,6}:{(162,1),(163,1),(165,1)}
       177:{2,4,5,6}:{(164,1),(165,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(186,1)}
       179:{3,4,5,7}:{(168,1),(185,1),(186,1)}
       180:{2,4,5,7}:{(167,1),(170,1),(172,1),(185,1),(187,1)}
       181:{2,4,6}:{(168,1),(169,1),(173,1),(186,1)}
       182:{2,5,6}:{(170,1),(171,1),(174,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(177,1),(187,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(180,1),(188,1)}
       186:{3,4,6}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,6}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2643 :   0:{3,4,5,6,7}:{(1,1),(81,1),(163,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(61,1),(175,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(35,1),(103,1),(114,1),(155,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(169,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(44,1),(183,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(51,1),(82,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(46,1),(83,1),(132,1),(168,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(57,1),(61,1),(155,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(178,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(31,1),(187,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(16,1),(32,1),(36,1),(62,1)}
        11:{2,4,5,6}:{(6,1),(16,1),(17,1),(149,1),(177,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(40,1),(44,1),(168,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(184,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(188,1)}
        15:{1,2,4,5,6}:{(11,1),(23,1),(24,1),(52,1),(83,1),(88,1),(122,1),(134,1)}
        16:{2,4,5,7}:{(10,1),(11,1),(18,1),(25,1)}
        17:{2,3,5,6}:{(11,1),(24,1),(25,1),(26,1),(129,1),(166,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(16,1),(28,1),(177,1)}
        19:{1,2,5,6,7}:{(13,1),(27,1),(30,1),(99,1),(141,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(28,1),(30,1),(31,1),(59,1),(172,1)}
        21:{3,4,6,7}:{(14,1),(31,1),(32,1),(186,1)}
        22:{2,3,4,5,6}:{(33,1),(34,1),(39,1),(74,1),(104,1),(187,1)}
        23:{1,2,4,5,7}:{(15,1),(16,1),(27,1),(36,1),(62,1),(71,1),(99,1)}
        24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(37,1),(110,1),(153,1)}
        25:{2,3,5,7}:{(16,1),(17,1),(28,1),(36,1),(38,1)}
        26:{2,3,4,6}:{(17,1),(37,1),(38,1),(39,1)}
        27:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(40,1),(44,1),(77,1),(134,1)}
        28:{2,3,6,7}:{(18,1),(25,1),(40,1),(166,1)}
        29:{3,4,5,6,7}:{(42,1),(46,1),(179,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(44,1),(78,1),(160,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(182,1)}
        32:{3,4,5,7}:{(21,1),(45,1),(46,1)}
        33:{2,3,4,5,7}:{(22,1),(48,1),(49,1),(126,1),(181,1)}
        34:{1,3,4,5,6}:{(22,1),(49,1),(50,1),(54,1),(85,1),(95,1),(163,1),(183,1)}
        35:{2,3,5,6}:{(24,1),(51,1),(52,1),(93,1),(122,1),(137,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(40,1),(51,1),(53,1)}
        37:{1,3,4,6}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{2,3,4,7}:{(25,1),(26,1),(53,1)}
        39:{2,3,4,5}:{(26,1),(54,1),(129,1)}
        40:{1,3,6,7}:{(27,1),(28,1),(36,1),(57,1),(153,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(38,1),(58,1),(59,1),(74,1)}
        42:{2,4,5,6,7}:{(29,1),(56,1),(60,1),(63,1),(170,1)}
        43:{2,3,5,6,7}:{(30,1),(57,1),(61,1),(99,1),(102,1),(144,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(61,1),(62,1),(174,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(59,1),(62,1),(63,1)}
        46:{3,4,5,6}:{(32,1),(63,1),(186,1)}
        47:{1,2,3,5,6}:{(35,1),(65,1),(66,1),(104,1),(110,1),(141,1),(153,1)}
        48:{2,3,4,6,7}:{(33,1),(56,1),(67,1),(74,1),(147,1),(170,1)}
        49:{1,3,4,5,7}:{(33,1),(34,1),(67,1),(68,1),(107,1),(145,1),(173,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1),(72,1),(116,1)}
        51:{2,3,5,7}:{(35,1),(36,1),(57,1),(71,1),(99,1)}
        52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1)}
        53:{1,3,4,7}:{(36,1),(37,1),(38,1),(71,1)}
        54:{1,3,4,5}:{(37,1),(39,1),(72,1),(110,1)}
        55:{2,3,4,5,7}:{(38,1),(39,1),(59,1),(73,1),(74,1),(150,1),(171,1)}
        56:{2,3,5,6,7}:{(42,1),(48,1),(76,1),(79,1)}
        57:{2,3,6,7}:{(40,1),(51,1),(77,1),(137,1)}
        58:{1,3,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(77,1),(78,1),(81,1),(95,1)}
        59:{2,3,5,7}:{(41,1),(45,1),(78,1),(79,1)}
        60:{1,4,5,6,7}:{(42,1),(76,1),(80,1),(83,1),(158,1)}
        61:{2,4,6,7}:{(43,1),(44,1),(81,1),(82,1),(162,1)}
        62:{1,4,5,7}:{(44,1),(45,1),(78,1),(82,1),(83,1)}
        63:{2,4,5,6}:{(45,1),(46,1),(79,1),(83,1),(182,1)}
        64:{1,2,4,5,6}:{(50,1),(84,1),(85,1),(88,1),(127,1),(134,1),(183,1),(184,1)}
        65:{1,2,3,5,7}:{(47,1),(51,1),(75,1),(87,1),(119,1),(126,1),(133,1)}
        66:{1,2,4,6}:{(47,1),(52,1),(86,1),(87,1),(88,1),(127,1)}
        67:{1,3,4,6,7}:{(48,1),(49,1),(76,1),(89,1),(95,1),(123,1),(130,1),(158,1)}
        68:{2,4,5,7}:{(49,1),(50,1),(89,1),(90,1)}
        69:{2,3,5,6}:{(50,1),(85,1),(90,1),(91,1),(93,1),(137,1)}
        70:{2,3,4,6}:{(52,1),(86,1),(92,1),(93,1),(137,1)}
        71:{2,4,7}:{(51,1),(52,1),(53,1)}
        72:{2,4,5}:{(52,1),(54,1),(93,1)}
        73:{1,3,4,5,7}:{(53,1),(54,1),(55,1),(78,1),(94,1),(95,1),(124,1),(133,1),(159,1)}
        74:{2,3,4,6}:{(55,1),(79,1),(95,1),(166,1),(182,1)}
        75:{1,2,3,6,7}:{(57,1),(65,1),(96,1),(147,1),(153,1)}
        76:{1,3,5,6,7}:{(56,1),(60,1),(67,1),(97,1),(100,1),(101,1)}
        77:{2,4,6,7}:{(57,1),(58,1),(71,1),(99,1),(116,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(62,1),(99,1),(100,1),(102,1)}
        79:{2,3,5,6}:{(59,1),(63,1),(74,1),(100,1)}
        80:{2,4,5,6,7}:{(60,1),(97,1),(101,1),(103,1),(142,1)}
        81:{3,4,6,7}:{(61,1),(102,1),(146,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(99,1),(102,1),(103,1)}
        83:{1,4,5,6}:{(62,1),(63,1),(100,1),(103,1),(174,1)}
        84:{1,2,4,5,7}:{(64,1),(68,1),(106,1),(107,1),(148,1),(173,1),(176,1)}
        85:{1,3,5,6}:{(64,1),(69,1),(104,1),(107,1),(108,1),(110,1),(153,1)}
        86:{1,3,4,6}:{(66,1),(70,1),(105,1),(109,1),(110,1),(153,1)}
        87:{1,2,4,7}:{(65,1),(66,1),(71,1),(109,1),(148,1)}
        88:{1,2,4,5}:{(66,1),(72,1),(110,1),(149,1)}
        89:{2,4,6,7}:{(67,1),(68,1),(97,1),(112,1),(116,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(112,1),(113,1)}
        91:{2,3,4,6}:{(69,1),(108,1),(113,1),(114,1)}
        92:{2,3,4,7}:{(70,1),(71,1),(109,1),(115,1)}
        93:{2,3,5}:{(70,1),(72,1),(110,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(99,1),(115,1),(116,1)}
        95:{1,3,4,6}:{(73,1),(74,1),(100,1),(116,1),(146,1),(153,1),(174,1)}
        96:{1,2,4,6,7}:{(75,1),(77,1),(87,1),(118,1),(119,1),(134,1),(164,1)}
        97:{2,5,6,7}:{(76,1),(89,1),(122,1)}
        98:{2,3,4,6,7}:{(77,1),(81,1),(92,1),(118,1),(121,1),(137,1),(162,1)}
        99:{2,5,7}:{(77,1),(78,1),(122,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(83,1),(95,1),(122,1),(125,1)}
       101:{3,5,6,7}:{(80,1),(123,1),(125,1)}
       102:{3,5,7}:{(81,1),(82,1),(125,1)}
       103:{2,4,5,6}:{(82,1),(83,1),(122,1),(125,1),(162,1)}
       104:{2,3,5,6}:{(85,1),(126,1),(127,1),(129,1),(166,1),(184,1)}
       105:{2,3,4,6}:{(86,1),(127,1),(128,1),(129,1),(166,1)}
       106:{1,2,4,6,7}:{(84,1),(89,1),(117,1),(130,1),(134,1),(158,1),(164,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(90,1),(126,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(85,1),(91,1),(127,1),(131,1),(132,1)}
       109:{1,3,4,7}:{(86,1),(87,1),(92,1),(128,1),(133,1)}
       110:{1,3,5}:{(86,1),(88,1),(93,1),(129,1)}
       111:{1,2,4,5,7}:{(87,1),(88,1),(94,1),(119,1),(133,1),(134,1),(159,1),(165,1)}
       112:{2,3,6,7}:{(89,1),(90,1),(130,1),(137,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(131,1)}
       114:{2,3,4,5}:{(91,1),(93,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(94,1),(133,1),(137,1)}
       116:{2,4,6}:{(94,1),(95,1),(122,1),(137,1)}
       117:{1,2,5,6,7}:{(97,1),(106,1),(139,1),(141,1),(176,1)}
       118:{1,3,4,6,7}:{(96,1),(98,1),(109,1),(138,1),(140,1),(153,1),(174,1)}
       119:{1,2,5,7}:{(96,1),(99,1),(140,1),(141,1),(176,1)}
       120:{2,3,5,6,7}:{(97,1),(101,1),(112,1),(139,1),(142,1),(144,1),(154,1)}
       121:{2,3,5,7}:{(98,1),(99,1),(102,1),(140,1),(143,1),(144,1)}
       122:{2,5,6}:{(99,1),(100,1),(116,1)}
       123:{3,4,6,7}:{(101,1),(142,1),(145,1),(146,1)}
       124:{3,4,5,7}:{(102,1),(143,1),(146,1)}
       125:{3,5,6}:{(102,1),(103,1),(146,1)}
       126:{2,3,5,7}:{(104,1),(107,1),(147,1),(148,1),(176,1)}
       127:{2,4,6}:{(104,1),(108,1),(148,1),(149,1)}
       128:{2,3,4,7}:{(105,1),(109,1),(148,1),(150,1)}
       129:{2,3,5}:{(105,1),(110,1),(149,1)}
       130:{1,3,6,7}:{(106,1),(107,1),(112,1),(147,1),(153,1)}
       131:{1,3,4,7}:{(107,1),(108,1),(113,1),(148,1)}
       132:{1,3,4,5}:{(108,1),(110,1),(114,1),(149,1)}
       133:{1,3,5,7}:{(109,1),(110,1),(111,1),(115,1),(150,1),(153,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(141,1),(153,1),(174,1),(177,1)}
       135:{2,3,4,6,7}:{(112,1),(113,1),(142,1),(151,1),(154,1),(155,1)}
       136:{2,3,4,5,7}:{(113,1),(114,1),(115,1),(143,1),(152,1),(154,1),(155,1)}
       137:{2,3,6}:{(115,1),(116,1),(153,1)}
       138:{2,3,4,6,7}:{(118,1),(128,1),(157,1),(164,1),(166,1),(179,1),(182,1)}
       139:{1,3,5,6,7}:{(117,1),(120,1),(130,1),(156,1),(158,1),(160,1),(167,1)}
       140:{1,3,5,7}:{(118,1),(119,1),(121,1),(157,1),(159,1),(160,1)}
       141:{1,2,5,6}:{(119,1),(122,1),(134,1),(160,1),(184,1)}
       142:{2,4,6,7}:{(120,1),(123,1),(158,1),(161,1),(162,1)}
       143:{2,4,5,7}:{(121,1),(124,1),(159,1),(162,1)}
       144:{2,3,5,6}:{(121,1),(122,1),(125,1),(137,1),(160,1),(162,1)}
       145:{3,4,5,7}:{(123,1),(161,1),(163,1)}
       146:{3,4,6}:{(124,1),(125,1),(162,1)}
       147:{2,3,6,7}:{(126,1),(130,1),(164,1),(166,1)}
       148:{2,4,7}:{(126,1),(127,1),(131,1)}
       149:{2,4,5}:{(127,1),(129,1),(132,1)}
       150:{2,3,5,7}:{(128,1),(129,1),(133,1),(165,1),(166,1)}
       151:{1,3,4,6,7}:{(130,1),(131,1),(135,1),(158,1),(164,1),(167,1),(168,1),(179,1)}
       152:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(159,1),(165,1),(167,1),(168,1),(180,1)}
       153:{1,3,6}:{(133,1),(134,1),(137,1),(166,1)}
       154:{2,3,5,7}:{(135,1),(161,1),(167,1),(169,1)}
       155:{2,3,4,6}:{(136,1),(137,1),(162,1),(168,1),(169,1)}
       156:{2,3,5,6,7}:{(139,1),(147,1),(170,1),(172,1),(176,1),(185,1)}
       157:{2,3,5,7}:{(138,1),(140,1),(171,1),(172,1),(176,1),(185,1)}
       158:{1,4,6,7}:{(139,1),(142,1),(170,1),(173,1),(174,1)}
       159:{1,4,5,7}:{(140,1),(143,1),(171,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(144,1),(153,1),(172,1),(174,1)}
       161:{2,4,5,7}:{(142,1),(145,1),(154,1),(173,1),(175,1)}
       162:{2,4,6}:{(143,1),(144,1),(146,1),(174,1)}
       163:{3,4,5,6}:{(145,1),(146,1),(175,1)}
       164:{2,4,6,7}:{(147,1),(148,1),(151,1),(176,1),(177,1)}
       165:{2,4,5,7}:{(148,1),(149,1),(150,1),(152,1),(176,1),(177,1)}
       166:{2,3,6}:{(150,1),(153,1),(177,1)}
       167:{1,3,5,7}:{(151,1),(154,1),(173,1),(176,1),(178,1),(185,1)}
       168:{1,3,4,6}:{(152,1),(153,1),(155,1),(174,1),(177,1),(178,1),(186,1)}
       169:{2,3,5,6}:{(154,1),(155,1),(175,1),(178,1)}
       170:{2,4,6,7}:{(156,1),(158,1),(179,1),(181,1),(182,1)}
       171:{2,4,5,7}:{(157,1),(159,1),(180,1),(182,1)}
       172:{2,3,5,6}:{(157,1),(160,1),(166,1),(182,1),(184,1),(188,1)}
       173:{1,4,5,7}:{(158,1),(161,1),(167,1),(181,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(162,1),(182,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(163,1),(169,1),(183,1)}
       176:{2,5,7}:{(164,1),(167,1),(184,1)}
       177:{2,4,6}:{(165,1),(166,1),(168,1),(184,1)}
       178:{1,3,5,6}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       179:{3,4,6,7}:{(170,1),(185,1),(186,1)}
       180:{3,4,5,7}:{(171,1),(185,1),(186,1)}
       181:{2,4,5,7}:{(170,1),(173,1),(176,1),(185,1),(187,1)}
       182:{2,4,6}:{(171,1),(172,1),(174,1),(186,1)}
       183:{1,4,5,6}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{2,5,6}:{(176,1),(177,1),(178,1)}
       185:{3,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,4,6}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,6}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2644 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(49,1),(112,1),(141,1),(193,1),(200,1),(207,1),(233,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(164,1),(169,1),(257,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(34,1),(45,1),(89,1),(102,1),(172,1),(185,1),(187,1),(254,1),(279,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(78,1),(155,1),(240,1),(255,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(20,1),(54,1),(67,1),(136,1),(143,1),(198,1),(207,1),(293,1)}
         5:{1,2,3,6}:{(1,1),(17,1),(59,1),(303,1)}
         6:{1,2,4,7}:{(1,1),(15,1),(17,1),(214,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(143,1),(230,1)}
         8:{2,4,5,7}:{(2,1),(20,1),(21,1),(67,1),(71,1),(143,1),(231,1),(321,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(59,1),(127,1),(142,1),(301,1)}
        10:{2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(283,1),(297,1)}
        11:{2,3,4,6,7}:{(3,1),(23,1),(25,1),(66,1),(114,1),(200,1),(228,1),(233,1),(287,1),(302,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(34,1),(82,1),(89,1),(154,1),(172,1),(244,1),(246,1),(254,1),(335,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(29,1),(41,1),(103,1),(181,1),(255,1)}
        14:{1,2,3,6,7}:{(5,1),(31,1),(32,1),(91,1),(164,1),(167,1),(250,1),(259,1),(344,1),(396,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(26,1),(33,1),(34,1),(172,1),(260,1)}
        16:{1,2,3,5,6}:{(5,1),(31,1),(35,1),(36,1),(88,1),(90,1),(93,1),(167,1),(169,1),(175,1),(250,1),(264,1),(338,1),(345,1),(394,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(33,1),(36,1)}
        18:{1,2,4,5,7}:{(6,1),(8,1),(27,1),(34,1),(36,1),(37,1),(89,1),(95,1),(172,1),(254,1),(257,1),(261,1),(346,1)}
        19:{2,3,4,6}:{(7,1),(33,1),(40,1),(41,1),(103,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(34,1),(40,1),(41,1),(277,1),(356,1)}
        21:{2,4,6}:{(8,1),(9,1),(41,1),(42,1)}
        22:{1,3,5,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(105,1),(339,1)}
        23:{1,3,4,6,7}:{(9,1),(11,1),(43,1),(45,1),(91,1),(100,1),(172,1),(183,1),(187,1),(276,1),(279,1),(343,1)}
        24:{2,4,5,6}:{(10,1),(44,1),(46,1),(47,1),(155,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(45,1),(47,1),(327,1),(340,1)}
        26:{2,3,4,7}:{(15,1),(48,1),(49,1),(200,1),(290,1)}
        27:{2,4,5,7}:{(12,1),(49,1),(50,1),(112,1),(116,1),(200,1),(291,1),(369,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(50,1),(51,1),(59,1),(127,1),(199,1),(301,1)}
        29:{2,3,5,6}:{(13,1),(51,1),(53,1),(54,1),(223,1),(297,1)}
        30:{2,3,4,6,7}:{(13,1),(52,1),(54,1),(69,1),(111,1),(143,1),(227,1),(288,1),(293,1),(302,1)}
        31:{1,2,3,5,7}:{(14,1),(16,1),(56,1),(57,1),(123,1),(128,1),(220,1),(308,1),(375,1),(411,1)}
        32:{1,2,4,6,7}:{(14,1),(17,1),(55,1),(56,1),(57,1),(124,1),(210,1),(296,1),(302,1),(303,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(19,1),(48,1),(58,1),(59,1),(127,1)}
        34:{1,3,5,7}:{(15,1),(18,1),(20,1),(49,1),(58,1),(59,1),(305,1),(375,1)}
        35:{1,2,4,6}:{(16,1),(56,1),(60,1),(61,1),(127,1),(214,1),(216,1),(410,1)}
        36:{1,2,5}:{(17,1),(58,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(50,1),(59,1),(62,1),(127,1),(301,1),(303,1)}
        38:{2,3,4,6,7}:{(19,1),(55,1),(64,1),(69,1),(122,1),(137,1),(143,1),(212,1),(227,1),(302,1),(361,1),(409,1),(425,1)}
        39:{2,3,5,6,7}:{(25,1),(65,1),(66,1),(135,1),(222,1),(228,1)}
        40:{2,3,5}:{(19,1),(58,1),(67,1)}
        41:{2,3,6}:{(20,1),(21,1),(59,1)}
        42:{2,5,6}:{(21,1),(22,1),(71,1)}
        43:{2,4,6,7}:{(21,1),(23,1),(69,1),(71,1),(143,1),(319,1),(321,1)}
        44:{1,4,5,6}:{(22,1),(24,1),(70,1),(73,1),(127,1)}
        45:{1,3,5,7}:{(22,1),(23,1),(25,1),(71,1),(73,1),(145,1),(372,1)}
        46:{3,4,5,6}:{(24,1),(74,1),(199,1),(283,1)}
        47:{2,4,5,7}:{(24,1),(25,1),(66,1),(73,1),(74,1),(200,1)}
        48:{2,3,4,6}:{(26,1),(33,1),(77,1),(78,1),(155,1)}
        49:{2,3,5,7}:{(26,1),(27,1),(34,1),(77,1),(78,1),(333,1),(392,1)}
        50:{2,4,6}:{(27,1),(28,1),(78,1),(79,1)}
        51:{1,3,5,6}:{(28,1),(29,1),(79,1),(81,1),(82,1),(157,1),(339,1)}
        52:{1,3,4,6,7}:{(28,1),(30,1),(80,1),(82,1),(91,1),(152,1),(172,1),(242,1),(246,1),(332,1),(335,1),(343,1)}
        53:{2,4,5,6}:{(29,1),(81,1),(83,1),(84,1),(103,1)}
        54:{2,3,5,7}:{(29,1),(30,1),(82,1),(84,1),(271,1),(340,1)}
        55:{1,3,4,6,7}:{(32,1),(33,1),(38,1),(75,1),(85,1),(86,1),(91,1),(162,1),(165,1),(167,1),(172,1),(258,1),(337,1),(343,1),(396,1),(421,1)}
        56:{1,2,4,7}:{(31,1),(35,1),(86,1),(172,1),(263,1),(421,1)}
        57:{1,2,5,7}:{(32,1),(36,1),(85,1),(88,1),(338,1),(340,1)}
        58:{1,3,5}:{(33,1),(36,1),(40,1),(77,1),(89,1)}
        59:{1,3,6}:{(34,1),(37,1),(41,1),(78,1)}
        60:{1,3,4,6}:{(35,1),(86,1),(92,1),(93,1),(167,1),(260,1),(345,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(89,1),(93,1),(170,1),(338,1),(393,1)}
        62:{1,2,5,6}:{(36,1),(37,1),(42,1),(79,1),(90,1),(95,1),(339,1)}
        63:{1,2,4,6,7}:{(37,1),(43,1),(80,1),(91,1),(95,1),(172,1),(343,1),(344,1),(346,1)}
        64:{2,3,5,7}:{(38,1),(40,1),(85,1),(97,1),(98,1),(271,1),(340,1),(387,1)}
        65:{1,3,5,6,7}:{(39,1),(45,1),(99,1),(100,1),(183,1),(269,1),(276,1)}
        66:{2,4,6,7}:{(39,1),(47,1),(100,1),(101,1)}
        67:{2,4,5}:{(40,1),(89,1),(102,1),(103,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(42,1),(90,1),(103,1),(104,1),(105,1)}
        69:{2,3,6,7}:{(41,1),(43,1),(91,1),(104,1),(183,1),(356,1)}
        70:{2,4,5,6}:{(42,1),(44,1),(103,1),(105,1),(106,1)}
        71:{2,5,7}:{(42,1),(43,1),(45,1)}
        72:{1,3,4,5,6}:{(44,1),(46,1),(105,1),(107,1),(108,1),(171,1),(188,1),(251,1),(266,1),(347,1),(398,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(47,1),(100,1),(106,1),(172,1)}
        74:{3,4,5,7}:{(46,1),(47,1),(101,1),(246,1),(327,1)}
        75:{2,3,4,6,7}:{(48,1),(55,1),(109,1),(114,1),(122,1),(194,1),(200,1),(212,1),(287,1),(302,1),(313,1),(382,1),(414,1)}
        76:{2,3,5,6,7}:{(54,1),(110,1),(111,1),(192,1),(282,1),(288,1)}
        77:{2,3,5}:{(48,1),(58,1),(112,1)}
        78:{2,3,6}:{(49,1),(50,1),(59,1)}
        79:{2,5,6}:{(50,1),(51,1),(116,1)}
        80:{2,4,6,7}:{(50,1),(52,1),(114,1),(116,1),(200,1),(367,1),(369,1)}
        81:{1,4,5,6}:{(51,1),(53,1),(115,1),(118,1),(127,1)}
        82:{1,3,5,7}:{(51,1),(52,1),(54,1),(116,1),(118,1),(202,1),(372,1)}
        83:{3,4,5,6}:{(53,1),(119,1),(142,1),(223,1)}
        84:{2,4,5,7}:{(53,1),(54,1),(111,1),(118,1),(119,1),(143,1)}
        85:{1,3,5,7}:{(55,1),(57,1),(58,1),(64,1),(109,1),(120,1),(121,1),(370,1),(372,1)}
        86:{1,3,4,7}:{(56,1),(60,1),(122,1),(123,1),(375,1)}
        87:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(120,1),(123,1),(124,1),(207,1)}
        88:{1,2,5,6}:{(57,1),(121,1),(124,1),(297,1),(303,1)}
        89:{1,4,5}:{(58,1),(67,1),(112,1),(127,1)}
        90:{1,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(113,1),(127,1),(128,1)}
        91:{1,3,6,7}:{(59,1),(63,1),(69,1),(114,1),(128,1),(375,1)}
        92:{2,3,4,6}:{(60,1),(122,1),(130,1),(131,1),(212,1),(216,1),(230,1),(290,1),(320,1),(368,1)}
        93:{1,3,5}:{(60,1),(61,1),(131,1)}
        94:{1,2,4,5,6}:{(61,1),(62,1),(70,1),(115,1),(124,1),(127,1),(132,1),(133,1),(146,1),(203,1),(205,1),(216,1),(234,1),(294,1),(297,1),(306,1),(371,1),(376,1),(403,1),(410,1)}
        95:{1,2,5,7}:{(62,1),(63,1),(71,1),(116,1),(128,1),(372,1)}
        96:{2,4,5,6,7}:{(66,1),(134,1),(135,1),(222,1),(284,1),(378,1)}
        97:{2,4,5,7}:{(64,1),(67,1),(120,1),(136,1),(137,1),(143,1),(406,1),(425,1)}
        98:{2,3,5,6}:{(64,1),(121,1),(137,1),(212,1),(223,1),(297,1)}
        99:{2,5,6,7}:{(65,1),(71,1),(139,1),(319,1)}
       100:{1,4,6,7}:{(65,1),(66,1),(73,1),(139,1)}
       101:{3,4,6,7}:{(66,1),(74,1),(135,1)}
       102:{3,4,5}:{(67,1),(142,1)}
       103:{2,4,6}:{(67,1),(68,1),(127,1),(142,1),(143,1)}
       104:{2,3,5,7}:{(68,1),(69,1),(71,1),(128,1),(143,1),(145,1)}
       105:{3,5,6}:{(70,1),(142,1),(145,1)}
       106:{2,4,5,7}:{(70,1),(71,1),(73,1),(139,1),(143,1),(145,1)}
       107:{2,4,5,6}:{(72,1),(144,1),(146,1),(147,1),(216,1),(234,1),(297,1)}
       108:{1,3,4,5,7}:{(72,1),(73,1),(74,1),(140,1),(145,1),(147,1),(217,1),(235,1),(298,1),(310,1),(377,1),(413,1)}
       109:{2,3,5,7}:{(75,1),(77,1),(85,1),(149,1),(150,1),(327,1),(340,1),(351,1)}
       110:{1,3,5,6,7}:{(76,1),(82,1),(151,1),(152,1),(242,1),(325,1),(332,1)}
       111:{2,4,6,7}:{(76,1),(84,1),(152,1),(153,1)}
       112:{2,4,5}:{(77,1),(89,1),(154,1),(155,1)}
       113:{2,3,5,6}:{(77,1),(78,1),(79,1),(90,1),(155,1),(156,1),(157,1)}
       114:{2,3,6,7}:{(78,1),(80,1),(91,1),(156,1),(242,1),(392,1)}
       115:{2,4,5,6}:{(79,1),(81,1),(155,1),(157,1),(158,1)}
       116:{2,5,7}:{(79,1),(80,1),(82,1)}
       117:{1,3,4,5,6}:{(81,1),(83,1),(157,1),(159,1),(160,1),(171,1),(247,1),(251,1),(322,1),(383,1),(416,1)}
       118:{1,4,5,7}:{(81,1),(82,1),(84,1),(152,1),(158,1),(172,1)}
       119:{3,4,5,7}:{(83,1),(84,1),(153,1),(187,1),(271,1)}
       120:{1,4,5,7}:{(85,1),(89,1),(97,1),(149,1),(162,1),(172,1),(393,1),(421,1)}
       121:{1,3,5,6}:{(85,1),(88,1),(98,1),(150,1),(162,1),(167,1),(258,1),(339,1)}
       122:{2,3,4,7}:{(86,1),(92,1),(165,1),(166,1),(263,1),(356,1),(392,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(93,1),(166,1),(167,1)}
       124:{1,2,4,6}:{(87,1),(88,1),(162,1),(167,1),(255,1)}
       125:{1,2,5,6,7}:{(88,1),(95,1),(99,1),(151,1),(163,1),(168,1),(269,1),(325,1),(340,1),(344,1),(350,1),(386,1),(395,1)}
       126:{1,3,4,5}:{(89,1),(93,1),(102,1),(154,1),(170,1),(171,1),(393,1),(397,1),(415,1)}
       127:{1,4,6}:{(89,1),(90,1),(103,1),(155,1),(172,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(95,1),(104,1),(156,1),(172,1)}
       129:{1,2,3,6}:{(164,1),(169,1),(173,1),(345,1)}
       130:{1,3,4,6}:{(92,1),(165,1),(173,1),(174,1),(258,1),(260,1),(262,1),(345,1)}
       131:{2,3,5}:{(92,1),(93,1),(170,1),(174,1)}
       132:{1,3,5,6}:{(93,1),(94,1),(105,1),(157,1),(167,1),(171,1),(175,1),(176,1),(345,1),(398,1),(416,1)}
       133:{1,2,4,5,7}:{(94,1),(95,1),(106,1),(158,1),(168,1),(172,1),(176,1),(190,1),(249,1),(252,1),(263,1),(280,1),(336,1),(340,1),(346,1),(395,1),(399,1),(417,1),(421,1)}
       134:{1,4,5,6,7}:{(96,1),(100,1),(177,1),(178,1),(252,1),(269,1),(349,1)}
       135:{3,5,6,7}:{(96,1),(101,1),(327,1),(400,1)}
       136:{3,4,5,7}:{(97,1),(102,1),(181,1),(187,1),(271,1),(415,1),(426,1)}
       137:{2,4,6}:{(97,1),(98,1),(162,1),(181,1)}
       138:{2,3,5,6,7}:{(98,1),(99,1),(104,1),(163,1),(182,1),(183,1),(259,1),(271,1),(340,1),(386,1),(418,1),(420,1)}
       139:{2,4,6,7}:{(99,1),(100,1),(106,1),(183,1)}
       140:{1,3,4,6,7}:{(100,1),(101,1),(108,1),(178,1),(183,1),(184,1),(267,1),(276,1),(349,1),(400,1)}
       141:{2,3,4,5}:{(102,1),(170,1),(185,1),(186,1),(333,1),(397,1)}
       142:{3,4,6}:{(102,1),(103,1),(105,1),(187,1)}
       143:{2,4,7}:{(103,1),(104,1),(172,1),(187,1)}
       144:{2,3,5,6}:{(105,1),(107,1),(186,1),(188,1),(189,1),(398,1)}
       145:{3,5,7}:{(105,1),(106,1),(183,1),(187,1)}
       146:{1,4,5,6}:{(107,1),(188,1),(190,1),(262,1),(339,1)}
       147:{2,4,5,7}:{(107,1),(108,1),(184,1),(189,1),(190,1),(263,1),(280,1),(340,1)}
       148:{2,4,5,6,7}:{(111,1),(191,1),(192,1),(224,1),(282,1),(405,1)}
       149:{2,4,5,7}:{(109,1),(112,1),(120,1),(193,1),(194,1),(200,1),(379,1),(414,1)}
       150:{2,3,5,6}:{(109,1),(121,1),(194,1),(212,1),(283,1),(297,1)}
       151:{2,5,6,7}:{(110,1),(116,1),(196,1),(367,1)}
       152:{1,4,6,7}:{(110,1),(111,1),(118,1),(196,1)}
       153:{3,4,6,7}:{(111,1),(119,1),(192,1)}
       154:{3,4,5}:{(112,1),(199,1)}
       155:{2,4,6}:{(112,1),(113,1),(127,1),(199,1),(200,1)}
       156:{2,3,5,7}:{(113,1),(114,1),(116,1),(128,1),(200,1),(202,1)}
       157:{3,5,6}:{(115,1),(199,1),(202,1)}
       158:{2,4,5,7}:{(115,1),(116,1),(118,1),(196,1),(200,1),(202,1)}
       159:{2,4,5,6}:{(117,1),(201,1),(203,1),(204,1),(216,1),(294,1),(297,1)}
       160:{1,3,4,5,7}:{(117,1),(118,1),(119,1),(197,1),(202,1),(204,1),(217,1),(295,1),(298,1),(358,1),(404,1),(424,1)}
       161:{1,3,4,5,7}:{(120,1),(123,1),(126,1),(136,1),(193,1),(207,1),(208,1),(217,1),(298,1)}
       162:{1,4,6}:{(120,1),(121,1),(137,1),(194,1)}
       163:{1,3,5,6,7}:{(121,1),(125,1),(128,1),(138,1),(195,1),(209,1),(213,1),(298,1),(304,1),(372,1),(411,1)}
       164:{1,2,3,7}:{(129,1),(210,1),(375,1)}
       165:{1,3,4,7}:{(122,1),(130,1),(210,1),(211,1),(307,1),(375,1)}
       166:{2,3,5,7}:{(122,1),(123,1),(131,1),(207,1),(211,1),(212,1)}
       167:{1,3,6}:{(123,1),(124,1),(212,1)}
       168:{1,2,4,6,7}:{(124,1),(125,1),(133,1),(139,1),(196,1),(209,1),(213,1),(229,1),(289,1),(302,1),(319,1),(367,1),(378,1),(405,1)}
       169:{1,2,3,5}:{(129,1),(214,1),(218,1),(305,1)}
       170:{2,4,5}:{(126,1),(131,1),(215,1),(216,1)}
       171:{1,3,4,6}:{(126,1),(127,1),(132,1),(142,1),(199,1),(216,1),(217,1),(410,1),(412,1),(423,1)}
       172:{1,4,7}:{(127,1),(128,1),(143,1),(200,1)}
       173:{1,2,4,6}:{(129,1),(130,1),(210,1),(214,1),(218,1),(303,1)}
       174:{1,3,5}:{(130,1),(131,1),(215,1),(218,1)}
       175:{2,3,5,6}:{(131,1),(132,1),(212,1),(216,1),(219,1),(220,1),(234,1),(294,1),(297,1),(320,1),(368,1)}
       176:{1,3,5,7}:{(132,1),(133,1),(145,1),(202,1),(213,1),(217,1),(220,1),(375,1),(413,1),(424,1)}
       177:{2,4,5,6,7}:{(134,1),(139,1),(221,1),(222,1),(224,1),(311,1)}
       178:{1,3,5,6,7}:{(134,1),(135,1),(140,1),(221,1),(222,1),(298,1)}
       179:{2,4,5,6}:{(137,1),(205,1),(223,1),(224,1),(297,1)}
       180:{2,3,4,5,7}:{(136,1),(141,1),(207,1),(225,1),(226,1),(233,1),(315,1),(364,1),(406,1),(425,1)}
       181:{3,4,6}:{(136,1),(137,1),(223,1)}
       182:{2,4,6,7}:{(137,1),(138,1),(143,1),(209,1),(224,1),(227,1),(425,1)}
       183:{3,6,7}:{(139,1),(145,1)}
       184:{2,4,6,7}:{(140,1),(147,1),(222,1),(228,1),(229,1),(319,1)}
       185:{1,3,4,5}:{(141,1),(215,1),(231,1),(232,1),(305,1)}
       186:{2,3,4,6}:{(141,1),(142,1),(144,1),(216,1),(232,1),(233,1),(368,1),(412,1)}
       187:{3,4,7}:{(142,1),(143,1),(145,1)}
       188:{1,3,5,6}:{(144,1),(146,1),(232,1),(234,1),(235,1)}
       189:{2,3,5,7}:{(144,1),(145,1),(147,1),(228,1),(233,1),(235,1),(413,1)}
       190:{1,4,5,7}:{(146,1),(147,1),(229,1),(235,1),(307,1),(372,1)}
       191:{1,4,5,6,7}:{(148,1),(152,1),(236,1),(237,1),(252,1),(325,1),(385,1)}
       192:{3,5,6,7}:{(148,1),(153,1),(271,1),(418,1)}
       193:{3,4,5,7}:{(149,1),(154,1),(240,1),(246,1),(327,1),(397,1),(422,1)}
       194:{2,4,6}:{(149,1),(150,1),(162,1),(240,1)}
       195:{2,3,5,6,7}:{(150,1),(151,1),(156,1),(163,1),(241,1),(242,1),(259,1),(327,1),(340,1),(350,1),(400,1),(402,1)}
       196:{2,4,6,7}:{(151,1),(152,1),(158,1),(242,1)}
       197:{1,3,4,6,7}:{(152,1),(153,1),(160,1),(237,1),(242,1),(243,1),(323,1),(332,1),(385,1),(418,1)}
       198:{2,3,4,5}:{(154,1),(170,1),(244,1),(245,1),(277,1),(415,1)}
       199:{3,4,6}:{(154,1),(155,1),(157,1),(246,1)}
       200:{2,4,7}:{(155,1),(156,1),(172,1),(246,1)}
       201:{2,3,5,6}:{(157,1),(159,1),(245,1),(247,1),(248,1),(416,1)}
       202:{3,5,7}:{(157,1),(158,1),(242,1),(246,1)}
       203:{1,4,5,6}:{(159,1),(247,1),(249,1),(262,1),(339,1)}
       204:{2,4,5,7}:{(159,1),(160,1),(243,1),(248,1),(249,1),(263,1),(336,1),(340,1)}
       205:{1,4,5,6}:{(162,1),(179,1),(238,1),(251,1),(252,1),(339,1)}
       206:{1,2,3,5,7}:{(164,1),(169,1),(250,1),(253,1),(257,1),(338,1),(341,1)}
       207:{2,4,5,7}:{(161,1),(166,1),(170,1),(254,1),(255,1),(263,1),(340,1)}
       208:{1,3,4,6}:{(161,1),(162,1),(167,1),(181,1),(240,1),(251,1),(255,1)}
       209:{1,4,6,7}:{(162,1),(163,1),(172,1),(182,1),(241,1),(252,1),(421,1)}
       210:{1,2,4,7}:{(164,1),(165,1),(173,1),(257,1)}
       211:{1,3,5,7}:{(165,1),(166,1),(174,1),(254,1),(257,1),(258,1)}
       212:{2,3,6}:{(166,1),(167,1),(255,1),(258,1)}
       213:{1,3,6,7}:{(167,1),(168,1),(176,1),(183,1),(242,1),(259,1),(400,1),(418,1)}
       214:{1,2,4}:{(169,1),(260,1)}
       215:{1,4,5}:{(170,1),(174,1),(262,1)}
       216:{2,4,6}:{(170,1),(171,1),(175,1),(262,1),(263,1)}
       217:{1,3,4,7}:{(171,1),(172,1),(176,1),(187,1),(246,1),(263,1),(421,1),(422,1),(426,1)}
       218:{1,2,5}:{(173,1),(174,1)}
       219:{1,3,5,6}:{(174,1),(175,1),(258,1),(262,1),(264,1),(265,1),(339,1),(345,1)}
       220:{2,3,5,7}:{(175,1),(176,1),(259,1),(263,1),(265,1),(280,1),(336,1),(340,1),(356,1),(392,1)}
       221:{3,5,6,7}:{(177,1),(183,1),(267,1),(271,1)}
       222:{2,5,6,7}:{(178,1),(184,1),(269,1),(340,1)}
       223:{3,5,6}:{(179,1),(181,1),(271,1)}
       224:{2,4,5,7}:{(179,1),(182,1),(252,1),(271,1),(340,1)}
       225:{1,3,4,5,7}:{(180,1),(185,1),(254,1),(273,1),(274,1),(279,1),(341,1),(353,1),(393,1),(397,1),(421,1),(422,1)}
       226:{2,3,4,6}:{(180,1),(181,1),(255,1),(270,1),(274,1),(390,1),(419,1)}
       227:{3,4,6,7}:{(181,1),(182,1),(183,1),(187,1),(271,1),(418,1),(426,1)}
       228:{2,3,6,7}:{(183,1),(184,1),(189,1),(276,1),(400,1)}
       229:{1,4,6,7}:{(184,1),(190,1),(269,1),(276,1)}
       230:{2,3,4}:{(260,1),(277,1)}
       231:{2,4,5}:{(185,1),(277,1),(278,1)}
       232:{1,3,4,6}:{(185,1),(186,1),(188,1),(262,1),(278,1),(279,1),(345,1)}
       233:{2,3,4,7}:{(186,1),(187,1),(189,1),(263,1),(279,1),(392,1),(422,1)}
       234:{2,5,6}:{(188,1),(278,1),(280,1)}
       235:{1,3,5,7}:{(188,1),(189,1),(190,1),(276,1),(279,1),(280,1)}
       236:{2,4,5,6,7}:{(191,1),(196,1),(281,1),(282,1),(284,1),(359,1)}
       237:{1,3,5,6,7}:{(191,1),(192,1),(197,1),(281,1),(282,1),(298,1)}
       238:{2,4,5,6}:{(194,1),(205,1),(283,1),(284,1),(297,1)}
       239:{2,3,4,5,7}:{(193,1),(198,1),(207,1),(285,1),(286,1),(293,1),(316,1),(363,1),(379,1),(414,1)}
       240:{3,4,6}:{(193,1),(194,1),(283,1)}
       241:{2,4,6,7}:{(194,1),(195,1),(200,1),(209,1),(284,1),(287,1),(414,1)}
       242:{3,6,7}:{(196,1),(202,1)}
       243:{2,4,6,7}:{(197,1),(204,1),(282,1),(288,1),(289,1),(367,1)}
       244:{1,3,4,5}:{(198,1),(215,1),(291,1),(292,1),(305,1)}
       245:{2,3,4,6}:{(198,1),(199,1),(201,1),(216,1),(292,1),(293,1),(320,1),(423,1)}
       246:{3,4,7}:{(199,1),(200,1),(202,1)}
       247:{1,3,5,6}:{(201,1),(203,1),(292,1),(294,1),(295,1)}
       248:{2,3,5,7}:{(201,1),(202,1),(204,1),(288,1),(293,1),(295,1),(424,1)}
       249:{1,4,5,7}:{(203,1),(204,1),(289,1),(295,1),(307,1),(372,1)}
       250:{1,2,3,6}:{(206,1),(296,1),(303,1),(373,1)}
       251:{1,3,5,6}:{(205,1),(208,1),(223,1),(283,1),(297,1),(298,1)}
       252:{1,4,5,7}:{(205,1),(209,1),(224,1),(284,1),(298,1),(372,1)}
       253:{1,2,4,7}:{(206,1),(214,1),(296,1),(299,1)}
       254:{1,4,5,7}:{(207,1),(211,1),(215,1),(301,1),(307,1),(372,1)}
       255:{2,4,6}:{(207,1),(208,1),(212,1),(297,1),(301,1)}
       256:{1,3,4,6,7}:{(208,1),(209,1),(213,1),(217,1),(227,1),(287,1),(298,1),(302,1)}
       257:{1,2,5,7}:{(210,1),(211,1),(218,1),(303,1)}
       258:{1,3,6}:{(211,1),(212,1),(301,1),(303,1)}
       259:{2,3,6,7}:{(212,1),(213,1),(220,1),(302,1),(304,1),(319,1),(367,1)}
       260:{1,3,4}:{(214,1),(230,1),(290,1),(305,1)}
       261:{1,2,4,5}:{(214,1),(215,1),(218,1),(231,1),(291,1),(305,1),(306,1)}
       262:{1,4,6}:{(215,1),(216,1),(219,1),(307,1)}
       263:{2,4,7}:{(216,1),(217,1),(220,1),(307,1)}
       264:{1,2,5,6}:{(218,1),(219,1),(234,1),(294,1),(303,1),(306,1),(308,1)}
       265:{1,3,5,7}:{(219,1),(220,1),(304,1),(307,1),(308,1),(372,1),(375,1)}
       266:{3,4,5,6}:{(223,1),(309,1),(310,1),(423,1)}
       267:{3,4,6,7}:{(221,1),(310,1),(311,1)}
       268:{2,3,5,6,7}:{(221,1),(222,1),(228,1),(311,1),(312,1),(315,1)}
       269:{1,5,6,7}:{(222,1),(229,1),(372,1)}
       270:{2,3,5,6}:{(223,1),(226,1),(297,1),(309,1),(314,1),(315,1)}
       271:{3,5,7}:{(223,1),(224,1),(227,1)}
       272:{2,3,4,7}:{(230,1),(299,1),(313,1),(316,1),(414,1)}
       273:{2,4,5,7}:{(225,1),(231,1),(316,1),(317,1),(321,1),(379,1),(381,1),(414,1)}
       274:{1,3,4,6}:{(225,1),(226,1),(301,1),(314,1),(317,1),(373,1),(410,1),(412,1)}
       275:{2,3,4,6,7}:{(226,1),(227,1),(228,1),(233,1),(302,1),(311,1),(315,1),(318,1),(409,1),(425,1)}
       276:{1,3,6,7}:{(228,1),(229,1),(235,1),(319,1)}
       277:{2,3,5}:{(230,1),(231,1),(305,1),(320,1)}
       278:{2,4,6}:{(231,1),(232,1),(234,1),(320,1),(321,1)}
       279:{1,3,4,7}:{(232,1),(233,1),(235,1),(307,1),(321,1),(375,1)}
       280:{2,5,7}:{(234,1),(235,1),(319,1),(321,1)}
       281:{3,5,6,7}:{(236,1),(242,1),(323,1),(327,1)}
       282:{2,5,6,7}:{(237,1),(243,1),(325,1),(340,1)}
       283:{3,5,6}:{(238,1),(240,1),(327,1)}
       284:{2,4,5,7}:{(238,1),(241,1),(252,1),(327,1),(340,1)}
       285:{1,3,4,5,7}:{(239,1),(244,1),(254,1),(329,1),(330,1),(335,1),(341,1),(389,1),(393,1),(415,1),(421,1),(426,1)}
       286:{2,3,4,6}:{(239,1),(240,1),(255,1),(326,1),(330,1),(354,1),(401,1)}
       287:{3,4,6,7}:{(240,1),(241,1),(242,1),(246,1),(327,1),(400,1),(422,1)}
       288:{2,3,6,7}:{(242,1),(243,1),(248,1),(332,1),(418,1)}
       289:{1,4,6,7}:{(243,1),(249,1),(325,1),(332,1)}
       290:{2,3,4}:{(260,1),(333,1)}
       291:{2,4,5}:{(244,1),(333,1),(334,1)}
       292:{1,3,4,6}:{(244,1),(245,1),(247,1),(262,1),(334,1),(335,1),(345,1)}
       293:{2,3,4,7}:{(245,1),(246,1),(248,1),(263,1),(335,1),(356,1),(426,1)}
       294:{2,5,6}:{(247,1),(334,1),(336,1)}
       295:{1,3,5,7}:{(247,1),(248,1),(249,1),(332,1),(335,1),(336,1)}
       296:{1,2,4,6}:{(250,1),(253,1),(337,1),(338,1)}
       297:{2,5,6}:{(251,1),(255,1),(339,1),(340,1)}
       298:{1,3,5,7}:{(251,1),(252,1),(256,1),(271,1),(327,1),(340,1)}
       299:{1,3,4,7}:{(253,1),(260,1),(272,1),(328,1),(337,1),(341,1),(421,1)}
       300:{1,2,4,5,7}:{(253,1),(254,1),(257,1),(261,1),(273,1),(329,1),(338,1),(341,1),(342,1),(346,1),(393,1),(395,1),(421,1)}
       301:{1,4,6}:{(254,1),(255,1),(258,1),(339,1)}
       302:{2,4,6,7}:{(255,1),(256,1),(259,1),(263,1),(340,1),(343,1)}
       303:{1,2,6}:{(257,1),(258,1)}
       304:{1,3,6,7}:{(258,1),(259,1),(265,1),(343,1),(344,1)}
       305:{1,3,5}:{(260,1),(261,1),(277,1),(333,1),(345,1)}
       306:{1,2,4,6}:{(261,1),(262,1),(264,1),(278,1),(334,1),(345,1),(346,1)}
       307:{1,4,7}:{(262,1),(263,1),(265,1)}
       308:{1,2,5,7}:{(264,1),(265,1),(280,1),(336,1),(344,1),(346,1)}
       309:{2,4,5,6}:{(266,1),(270,1),(347,1),(348,1),(419,1)}
       310:{3,4,5,7}:{(266,1),(267,1),(271,1),(348,1),(426,1)}
       311:{2,4,6,7}:{(267,1),(268,1),(348,1),(349,1)}
       312:{1,3,5,6,7}:{(268,1),(269,1),(276,1),(349,1),(350,1),(353,1),(400,1)}
       313:{2,3,4,6}:{(272,1),(337,1),(351,1),(354,1),(401,1)}
       314:{1,3,5,6}:{(270,1),(274,1),(339,1),(347,1),(352,1),(353,1),(398,1)}
       315:{2,3,5,7}:{(270,1),(271,1),(275,1),(340,1),(348,1),(353,1)}
       316:{2,3,5,7}:{(272,1),(273,1),(277,1),(341,1),(351,1),(354,1),(356,1)}
       317:{2,4,6}:{(273,1),(274,1),(352,1),(354,1)}
       318:{1,3,4,6,7}:{(274,1),(275,1),(276,1),(279,1),(343,1),(349,1),(353,1),(355,1),(396,1),(400,1),(421,1),(422,1)}
       319:{2,6,7}:{(276,1),(280,1)}
       320:{2,3,6}:{(277,1),(278,1),(345,1),(356,1)}
       321:{2,4,7}:{(278,1),(279,1),(280,1),(356,1)}
       322:{3,4,5,6}:{(283,1),(357,1),(358,1),(412,1)}
       323:{3,4,6,7}:{(281,1),(358,1),(359,1)}
       324:{2,3,5,6,7}:{(281,1),(282,1),(288,1),(359,1),(360,1),(363,1)}
       325:{1,5,6,7}:{(282,1),(289,1),(372,1)}
       326:{2,3,5,6}:{(283,1),(286,1),(297,1),(357,1),(362,1),(363,1)}
       327:{3,5,7}:{(283,1),(284,1),(287,1)}
       328:{2,3,4,7}:{(290,1),(299,1),(361,1),(364,1),(425,1)}
       329:{2,4,5,7}:{(285,1),(291,1),(364,1),(365,1),(369,1),(406,1),(408,1),(425,1)}
       330:{1,3,4,6}:{(285,1),(286,1),(301,1),(362,1),(365,1),(373,1),(410,1),(423,1)}
       331:{2,3,4,6,7}:{(286,1),(287,1),(288,1),(293,1),(302,1),(359,1),(363,1),(366,1),(382,1),(414,1)}
       332:{1,3,6,7}:{(288,1),(289,1),(295,1),(367,1)}
       333:{2,3,5}:{(290,1),(291,1),(305,1),(368,1)}
       334:{2,4,6}:{(291,1),(292,1),(294,1),(368,1),(369,1)}
       335:{1,3,4,7}:{(292,1),(293,1),(295,1),(307,1),(369,1),(375,1)}
       336:{2,5,7}:{(294,1),(295,1),(367,1),(369,1)}
       337:{1,3,4,6}:{(296,1),(299,1),(313,1),(361,1),(370,1),(373,1),(410,1)}
       338:{1,2,5}:{(296,1),(370,1)}
       339:{1,5,6}:{(297,1),(301,1),(372,1)}
       340:{2,5,7}:{(297,1),(298,1),(302,1),(372,1)}
       341:{1,3,5,7}:{(299,1),(300,1),(305,1),(316,1),(364,1),(370,1),(373,1),(375,1)}
       342:{1,2,4,6}:{(300,1),(301,1),(303,1),(317,1),(365,1),(371,1),(373,1),(410,1)}
       343:{1,4,6,7}:{(301,1),(302,1),(304,1),(307,1),(372,1)}
       344:{1,2,6,7}:{(303,1),(304,1),(308,1),(319,1),(367,1)}
       345:{1,3,6}:{(305,1),(306,1),(320,1),(368,1),(375,1)}
       346:{1,2,4,7}:{(306,1),(307,1),(308,1),(321,1),(369,1),(375,1)}
       347:{1,4,5,6}:{(309,1),(314,1),(376,1),(377,1),(410,1)}
       348:{2,4,5,7}:{(309,1),(310,1),(311,1),(315,1),(377,1),(425,1)}
       349:{1,4,6,7}:{(311,1),(312,1),(377,1),(378,1)}
       350:{2,5,6,7}:{(312,1),(319,1),(378,1),(381,1)}
       351:{2,3,5}:{(313,1),(370,1),(379,1)}
       352:{2,5,6}:{(314,1),(317,1),(381,1)}
       353:{1,3,5,7}:{(314,1),(315,1),(318,1),(372,1),(377,1),(381,1),(413,1)}
       354:{2,3,6}:{(316,1),(317,1),(373,1)}
       355:{2,4,6,7}:{(317,1),(318,1),(319,1),(321,1),(381,1),(382,1),(414,1)}
       356:{2,3,7}:{(320,1),(321,1),(375,1)}
       357:{2,4,5,6}:{(322,1),(326,1),(383,1),(384,1),(401,1)}
       358:{3,4,5,7}:{(322,1),(323,1),(327,1),(384,1),(422,1)}
       359:{2,4,6,7}:{(323,1),(324,1),(384,1),(385,1)}
       360:{1,3,5,6,7}:{(324,1),(325,1),(332,1),(385,1),(386,1),(389,1),(418,1)}
       361:{2,3,4,6}:{(328,1),(337,1),(387,1),(390,1),(419,1)}
       362:{1,3,5,6}:{(326,1),(330,1),(339,1),(383,1),(388,1),(389,1),(416,1)}
       363:{2,3,5,7}:{(326,1),(327,1),(331,1),(340,1),(384,1),(389,1)}
       364:{2,3,5,7}:{(328,1),(329,1),(333,1),(341,1),(387,1),(390,1),(392,1)}
       365:{2,4,6}:{(329,1),(330,1),(388,1),(390,1)}
       366:{1,3,4,6,7}:{(330,1),(331,1),(332,1),(335,1),(343,1),(385,1),(389,1),(391,1),(396,1),(418,1),(421,1),(426,1)}
       367:{2,6,7}:{(332,1),(336,1)}
       368:{2,3,6}:{(333,1),(334,1),(345,1),(392,1)}
       369:{2,4,7}:{(334,1),(335,1),(336,1),(392,1)}
       370:{1,3,5}:{(337,1),(338,1),(351,1),(387,1),(393,1)}
       371:{1,2,5,6}:{(338,1),(339,1),(342,1),(352,1),(388,1),(394,1),(395,1)}
       372:{1,5,7}:{(339,1),(340,1),(343,1)}
       373:{1,3,6}:{(341,1),(342,1),(354,1),(390,1)}
       374:{1,2,4,6,7}:{(342,1),(343,1),(344,1),(346,1),(355,1),(391,1),(395,1),(396,1),(421,1)}
       375:{1,3,7}:{(345,1),(346,1),(356,1),(392,1)}
       376:{2,4,5,6}:{(347,1),(352,1),(398,1),(399,1),(401,1)}
       377:{1,4,5,7}:{(347,1),(348,1),(349,1),(353,1),(399,1),(421,1)}
       378:{2,4,6,7}:{(349,1),(350,1),(399,1),(400,1)}
       379:{2,4,5}:{(351,1),(393,1),(397,1),(401,1)}
       380:{2,3,5,6}:{(351,1),(352,1),(354,1),(394,1),(398,1),(401,1),(402,1)}
       381:{2,5,7}:{(352,1),(353,1),(355,1)}
       382:{2,3,6,7}:{(354,1),(355,1),(356,1),(396,1),(400,1),(402,1)}
       383:{1,4,5,6}:{(357,1),(362,1),(403,1),(404,1),(410,1)}
       384:{2,4,5,7}:{(357,1),(358,1),(359,1),(363,1),(404,1),(414,1)}
       385:{1,4,6,7}:{(359,1),(360,1),(404,1),(405,1)}
       386:{2,5,6,7}:{(360,1),(367,1),(405,1),(408,1)}
       387:{2,3,5}:{(361,1),(370,1),(406,1)}
       388:{2,5,6}:{(362,1),(365,1),(408,1)}
       389:{1,3,5,7}:{(362,1),(363,1),(366,1),(372,1),(404,1),(408,1),(424,1)}
       390:{2,3,6}:{(364,1),(365,1),(373,1)}
       391:{2,4,6,7}:{(365,1),(366,1),(367,1),(369,1),(408,1),(409,1),(425,1)}
       392:{2,3,7}:{(368,1),(369,1),(375,1)}
       393:{1,4,5}:{(370,1),(379,1),(406,1),(410,1)}
       394:{1,3,5,6}:{(370,1),(371,1),(373,1),(380,1),(407,1),(410,1),(411,1)}
       395:{1,2,5,7}:{(371,1),(372,1),(374,1),(381,1),(408,1),(411,1)}
       396:{1,3,6,7}:{(373,1),(374,1),(375,1),(382,1),(409,1),(411,1)}
       397:{3,4,5}:{(379,1),(412,1)}
       398:{3,5,6}:{(376,1),(412,1),(413,1)}
       399:{2,4,5,7}:{(376,1),(377,1),(378,1),(381,1),(413,1),(414,1)}
       400:{3,6,7}:{(378,1),(413,1)}
       401:{2,4,6}:{(379,1),(380,1),(410,1),(412,1),(414,1)}
       402:{2,3,5,7}:{(380,1),(381,1),(382,1),(411,1),(413,1),(414,1)}
       403:{2,4,5,6}:{(383,1),(388,1),(416,1),(417,1),(419,1)}
       404:{1,4,5,7}:{(383,1),(384,1),(385,1),(389,1),(417,1),(421,1)}
       405:{2,4,6,7}:{(385,1),(386,1),(417,1),(418,1)}
       406:{2,4,5}:{(387,1),(393,1),(415,1),(419,1)}
       407:{2,3,5,6}:{(387,1),(388,1),(390,1),(394,1),(416,1),(419,1),(420,1)}
       408:{2,5,7}:{(388,1),(389,1),(391,1)}
       409:{2,3,6,7}:{(390,1),(391,1),(392,1),(396,1),(418,1),(420,1)}
       410:{1,4,6}:{(393,1),(394,1),(401,1),(419,1),(421,1)}
       411:{1,3,5,7}:{(394,1),(395,1),(396,1),(402,1),(420,1),(421,1)}
       412:{3,4,6}:{(397,1),(398,1),(401,1),(422,1)}
       413:{3,5,7}:{(398,1),(399,1),(400,1),(422,1)}
       414:{2,4,7}:{(401,1),(402,1),(421,1),(422,1)}
       415:{3,4,5}:{(406,1),(423,1)}
       416:{3,5,6}:{(403,1),(423,1),(424,1)}
       417:{2,4,5,7}:{(403,1),(404,1),(405,1),(408,1),(424,1),(425,1)}
       418:{3,6,7}:{(405,1),(424,1)}
       419:{2,4,6}:{(406,1),(407,1),(410,1),(423,1),(425,1)}
       420:{2,3,5,7}:{(407,1),(408,1),(409,1),(411,1),(424,1),(425,1)}
       421:{1,4,7}:{(410,1),(411,1),(414,1),(425,1)}
       422:{3,4,7}:{(412,1),(413,1),(414,1)}
       423:{3,4,6}:{(415,1),(416,1),(419,1),(426,1)}
       424:{3,5,7}:{(416,1),(417,1),(418,1),(426,1)}
       425:{2,4,7}:{(419,1),(420,1),(421,1),(426,1)}
       426:{3,4,7}:{(423,1),(424,1),(425,1)}

2645 :   0:{2,3,4,5}:{(2,1),(3,1),(54,1),(106,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(35,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(86,1),(92,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(82,1),(131,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(69,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(61,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(145,1),(167,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(61,1),(113,1),(118,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(109,1),(149,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(86,1),(125,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(47,1),(98,1)}
        15:{1,2,3,7}:{(5,1),(33,1),(89,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(85,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(35,1),(36,1),(37,1),(86,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(40,1),(41,1),(131,1),(160,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(41,1),(159,1),(173,1)}
        21:{2,3,4,6}:{(9,1),(34,1),(42,1),(44,1),(47,1),(96,1),(98,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(40,1),(45,1),(46,1),(93,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(41,1),(43,1),(46,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(47,1)}
        25:{2,4,6}:{(10,1),(11,1),(45,1),(47,1),(48,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(46,1),(48,1),(89,1),(135,1),(139,1)}
        27:{3,4,5,6}:{(49,1),(50,1),(118,1),(153,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(52,1),(53,1)}
        29:{2,3,4}:{(17,1),(54,1)}
        30:{2,4,5}:{(13,1),(54,1),(55,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(52,1),(55,1),(56,1),(61,1),(113,1),(145,1)}
        32:{2,3,4,7}:{(14,1),(53,1),(56,1),(72,1),(122,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(57,1),(59,1),(61,1),(111,1),(113,1)}
        35:{1,2,5}:{(16,1),(59,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(54,1),(61,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(55,1),(60,1),(61,1),(62,1),(113,1)}
        38:{4,5,6,7}:{(63,1),(174,1)}
        39:{3,4,6,7}:{(20,1),(63,1),(64,1)}
        40:{1,4,5,6}:{(19,1),(22,1),(65,1),(66,1),(113,1),(150,1)}
        41:{2,4,5,7}:{(19,1),(20,1),(23,1),(64,1),(66,1),(149,1),(169,1)}
        42:{2,3,4,7}:{(21,1),(57,1),(67,1),(72,1),(122,1)}
        43:{2,3,6,7}:{(23,1),(64,1),(68,1)}
        44:{2,3,5}:{(21,1),(59,1),(69,1)}
        45:{2,5,6}:{(22,1),(25,1),(71,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(26,1),(66,1),(68,1),(71,1),(119,1)}
        47:{2,3,6}:{(24,1),(25,1),(61,1),(72,1)}
        48:{2,4,7}:{(25,1),(26,1),(71,1),(72,1)}
        49:{2,4,5,6}:{(27,1),(28,1),(75,1),(76,1),(98,1),(140,1)}
        50:{3,4,5,7}:{(27,1),(74,1),(76,1),(139,1),(165,1)}
        51:{2,3,4,6}:{(29,1),(34,1),(77,1),(79,1),(82,1),(129,1),(131,1)}
        52:{1,3,5,6}:{(28,1),(31,1),(75,1),(80,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(28,1),(32,1),(76,1),(78,1),(81,1)}
        54:{2,3,5}:{(29,1),(30,1),(36,1),(82,1)}
        55:{2,4,6}:{(30,1),(31,1),(80,1),(82,1),(83,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(81,1),(83,1),(89,1),(135,1),(159,1)}
        57:{1,3,4,7}:{(33,1),(34,1),(42,1),(77,1),(84,1),(89,1),(135,1)}
        58:{1,2,5,7}:{(33,1),(35,1),(84,1),(85,1)}
        59:{1,3,5}:{(34,1),(35,1),(44,1),(79,1),(86,1)}
        60:{1,2,5,6}:{(35,1),(37,1),(45,1),(80,1),(85,1),(87,1),(88,1)}
        61:{1,3,6}:{(36,1),(37,1),(47,1),(82,1),(89,1)}
        62:{1,2,4,7}:{(37,1),(48,1),(83,1),(88,1),(89,1),(135,1)}
        63:{3,5,6,7}:{(38,1),(39,1),(90,1),(173,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(43,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(40,1),(45,1),(93,1),(94,1),(98,1),(140,1),(163,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(46,1),(91,1),(94,1),(135,1),(162,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(84,1),(95,1),(96,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(91,1),(97,1),(138,1)}
        69:{2,4,5}:{(44,1),(86,1),(92,1),(98,1)}
        70:{2,3,5,6}:{(44,1),(45,1),(47,1),(87,1),(93,1),(96,1),(98,1),(99,1),(140,1)}
        71:{2,5,7}:{(45,1),(46,1),(48,1),(97,1)}
        72:{2,3,7}:{(47,1),(48,1),(89,1)}
        73:{4,5,6,7}:{(100,1),(170,1)}
        74:{3,4,6,7}:{(50,1),(100,1),(101,1)}
        75:{1,4,5,6}:{(49,1),(52,1),(102,1),(103,1),(113,1),(150,1)}
        76:{2,4,5,7}:{(49,1),(50,1),(53,1),(101,1),(103,1),(122,1),(155,1)}
        77:{2,3,4,7}:{(51,1),(57,1),(104,1),(109,1),(149,1)}
        78:{2,3,6,7}:{(53,1),(101,1),(105,1)}
        79:{2,3,5}:{(51,1),(59,1),(106,1)}
        80:{2,5,6}:{(52,1),(55,1),(108,1)}
        81:{1,3,5,7}:{(52,1),(53,1),(56,1),(103,1),(105,1),(108,1),(146,1)}
        82:{2,3,6}:{(54,1),(55,1),(61,1),(109,1)}
        83:{2,4,7}:{(55,1),(56,1),(108,1),(109,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(67,1),(104,1),(110,1),(111,1)}
        85:{1,2,6}:{(58,1),(111,1)}
        86:{1,4,5}:{(59,1),(69,1),(106,1),(113,1)}
        87:{1,3,5,6}:{(59,1),(60,1),(61,1),(70,1),(107,1),(111,1),(113,1),(114,1),(150,1)}
        88:{1,2,5,7}:{(60,1),(62,1),(71,1),(108,1),(112,1),(114,1)}
        89:{1,3,7}:{(61,1),(62,1),(72,1),(109,1)}
        90:{2,5,6,7}:{(63,1),(64,1),(115,1),(169,1)}
        91:{1,4,6,7}:{(64,1),(66,1),(68,1),(115,1),(117,1)}
        92:{3,4,5}:{(69,1),(118,1)}
        93:{3,5,6}:{(65,1),(118,1),(119,1)}
        94:{2,4,5,7}:{(65,1),(66,1),(71,1),(117,1),(119,1),(122,1),(155,1),(170,1)}
        95:{2,4,5,7}:{(67,1),(69,1),(110,1),(116,1),(120,1),(122,1),(155,1)}
        96:{2,3,6}:{(67,1),(111,1),(120,1)}
        97:{2,6,7}:{(68,1),(71,1)}
        98:{2,4,6}:{(69,1),(70,1),(113,1),(118,1),(122,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(72,1),(114,1),(119,1),(121,1),(122,1),(155,1)}
       100:{3,5,6,7}:{(73,1),(74,1),(123,1),(165,1)}
       101:{2,4,6,7}:{(74,1),(76,1),(78,1),(123,1),(124,1)}
       102:{2,4,5,6}:{(75,1),(80,1),(126,1),(127,1),(131,1),(160,1),(171,1)}
       103:{1,4,5,7}:{(75,1),(76,1),(81,1),(124,1),(127,1),(135,1),(162,1)}
       104:{2,3,5,7}:{(77,1),(79,1),(84,1),(128,1),(129,1)}
       105:{1,3,6,7}:{(78,1),(81,1),(124,1),(130,1),(158,1)}
       106:{2,4,5}:{(79,1),(86,1),(125,1),(131,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(126,1),(129,1),(131,1),(132,1),(160,1)}
       108:{2,5,7}:{(80,1),(81,1),(83,1),(130,1)}
       109:{2,3,7}:{(82,1),(83,1),(89,1)}
       110:{1,4,5,7}:{(84,1),(86,1),(95,1),(128,1),(133,1),(135,1),(162,1)}
       111:{1,3,6}:{(84,1),(85,1),(96,1),(129,1),(133,1)}
       112:{1,2,6,7}:{(85,1),(88,1),(97,1),(130,1),(134,1)}
       113:{1,4,6}:{(86,1),(87,1),(98,1),(131,1),(135,1)}
       114:{1,3,5,7}:{(87,1),(88,1),(89,1),(99,1),(132,1),(134,1),(135,1),(162,1)}
       115:{1,5,6,7}:{(90,1),(91,1),(136,1),(162,1)}
       116:{3,4,5,7}:{(92,1),(95,1),(137,1),(139,1),(165,1)}
       117:{2,4,6,7}:{(91,1),(94,1),(97,1),(136,1),(138,1),(164,1)}
       118:{3,4,6}:{(92,1),(93,1),(98,1),(139,1)}
       119:{3,5,7}:{(93,1),(94,1),(138,1),(139,1)}
       120:{2,4,6}:{(95,1),(96,1),(133,1),(137,1),(140,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(99,1),(134,1),(138,1),(141,1)}
       122:{2,4,7}:{(98,1),(99,1),(135,1),(139,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(155,1)}
       124:{1,4,6,7}:{(101,1),(103,1),(105,1),(142,1),(144,1)}
       125:{3,4,5}:{(106,1),(145,1)}
       126:{3,5,6}:{(102,1),(145,1),(146,1)}
       127:{2,4,5,7}:{(102,1),(103,1),(108,1),(144,1),(146,1),(149,1),(169,1),(174,1)}
       128:{2,4,5,7}:{(104,1),(106,1),(110,1),(143,1),(147,1),(149,1),(169,1)}
       129:{2,3,6}:{(104,1),(111,1),(147,1)}
       130:{2,6,7}:{(105,1),(108,1)}
       131:{2,4,6}:{(106,1),(107,1),(113,1),(145,1),(149,1)}
       132:{2,3,5,7}:{(107,1),(108,1),(109,1),(114,1),(146,1),(148,1),(149,1),(169,1)}
       133:{1,4,6}:{(110,1),(111,1),(120,1),(147,1),(150,1)}
       134:{1,3,6,7}:{(111,1),(112,1),(114,1),(121,1),(148,1),(151,1)}
       135:{1,4,7}:{(113,1),(114,1),(122,1),(149,1)}
       136:{2,5,6,7}:{(115,1),(117,1),(152,1),(155,1)}
       137:{3,4,6}:{(116,1),(120,1),(153,1)}
       138:{3,6,7}:{(117,1),(119,1)}
       139:{3,4,7}:{(118,1),(119,1),(122,1)}
       140:{2,5,6}:{(120,1),(150,1),(153,1),(155,1)}
       141:{2,4,6,7}:{(120,1),(121,1),(122,1),(151,1),(154,1),(155,1)}
       142:{1,5,6,7}:{(123,1),(124,1),(156,1),(162,1)}
       143:{3,4,5,7}:{(125,1),(128,1),(157,1),(159,1),(173,1)}
       144:{2,4,6,7}:{(124,1),(127,1),(130,1),(156,1),(158,1),(172,1)}
       145:{3,4,6}:{(125,1),(126,1),(131,1),(159,1)}
       146:{3,5,7}:{(126,1),(127,1),(158,1),(159,1)}
       147:{2,4,6}:{(128,1),(129,1),(133,1),(157,1),(160,1)}
       148:{2,3,6,7}:{(129,1),(130,1),(132,1),(134,1),(158,1),(161,1)}
       149:{2,4,7}:{(131,1),(132,1),(135,1),(159,1)}
       150:{1,5,6}:{(133,1),(140,1),(160,1),(162,1)}
       151:{1,4,6,7}:{(133,1),(134,1),(135,1),(141,1),(161,1),(162,1)}
       152:{3,5,6,7}:{(136,1),(138,1),(164,1),(165,1)}
       153:{3,5,6}:{(137,1),(140,1),(163,1),(165,1)}
       154:{3,4,6,7}:{(137,1),(138,1),(139,1),(141,1),(164,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(165,1)}
       156:{2,5,6,7}:{(142,1),(144,1),(166,1),(169,1)}
       157:{3,4,6}:{(143,1),(147,1),(167,1)}
       158:{3,6,7}:{(144,1),(146,1)}
       159:{3,4,7}:{(145,1),(146,1),(149,1)}
       160:{2,5,6}:{(147,1),(150,1),(167,1),(169,1)}
       161:{2,4,6,7}:{(147,1),(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{4,5,6}:{(153,1),(170,1)}
       164:{4,6,7}:{(152,1),(170,1)}
       165:{3,5,7}:{(153,1),(154,1),(155,1),(170,1)}
       166:{3,5,6,7}:{(156,1),(158,1),(172,1),(173,1)}
       167:{3,5,6}:{(157,1),(160,1),(171,1),(173,1)}
       168:{3,4,6,7}:{(157,1),(158,1),(159,1),(161,1),(172,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(167,1),(174,1)}
       172:{4,6,7}:{(166,1),(174,1)}
       173:{3,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2646 :   0:{2,3,4,5}:{(1,1),(2,1),(45,1),(136,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(69,1),(115,1)}
         2:{1,3,4,5}:{(0,1),(7,1),(8,1),(26,1),(120,1),(126,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(107,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(133,1),(173,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(93,1),(135,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(48,1),(97,1),(104,1)}
         8:{2,4,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(37,1),(83,1)}
        10:{1,3,4,5}:{(3,1),(23,1),(24,1),(26,1),(120,1),(149,1)}
        11:{1,2,4,5}:{(8,1),(24,1),(25,1),(26,1),(28,1),(76,1),(120,1)}
        12:{1,2,3,5}:{(26,1),(27,1),(28,1),(76,1)}
        13:{3,4,5,7}:{(4,1),(30,1),(31,1),(148,1),(168,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(31,1),(32,1),(115,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(31,1),(33,1),(34,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(32,1),(34,1),(35,1),(80,1)}
        17:{1,3,4,7}:{(6,1),(7,1),(34,1),(36,1),(73,1),(119,1),(125,1)}
        18:{2,4,6}:{(7,1),(8,1),(35,1),(36,1),(37,1)}
        19:{2,3,5}:{(8,1),(26,1),(37,1),(38,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(104,1),(166,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(41,1),(42,1)}
        22:{2,3,4,7}:{(9,1),(41,1),(43,1),(59,1),(106,1)}
        23:{1,3,4,6}:{(9,1),(10,1),(42,1),(43,1),(44,1),(48,1),(97,1),(133,1)}
        24:{2,4,5}:{(10,1),(44,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(18,1),(44,1),(46,1),(47,1),(48,1),(97,1)}
        26:{1,3,5}:{(11,1),(19,1),(45,1),(48,1),(49,1)}
        27:{1,2,3,6}:{(12,1),(48,1),(50,1),(51,1)}
        28:{1,2,4}:{(12,1),(49,1)}
        29:{4,5,6,7}:{(52,1),(172,1)}
        30:{3,4,6,7}:{(13,1),(52,1),(53,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(15,1),(53,1),(54,1),(135,1),(162,1)}
        32:{1,4,5,6}:{(14,1),(16,1),(54,1),(55,1),(97,1),(164,1)}
        33:{2,3,6,7}:{(15,1),(53,1),(56,1)}
        34:{1,3,5,7}:{(15,1),(16,1),(17,1),(54,1),(56,1),(57,1),(103,1)}
        35:{2,5,6}:{(16,1),(18,1),(57,1)}
        36:{2,4,7}:{(17,1),(18,1),(57,1),(59,1)}
        37:{2,3,6}:{(18,1),(19,1),(48,1),(59,1)}
        38:{2,3,4}:{(19,1),(49,1)}
        39:{3,4,5,7}:{(20,1),(62,1),(63,1),(125,1),(156,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(63,1),(64,1),(83,1),(158,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(63,1),(65,1),(66,1)}
        42:{1,3,5,6}:{(21,1),(23,1),(64,1),(66,1),(67,1),(112,1)}
        43:{1,3,4,7}:{(22,1),(23,1),(66,1),(68,1),(73,1),(119,1),(148,1)}
        44:{2,4,6}:{(23,1),(24,1),(67,1),(68,1),(69,1)}
        45:{2,3,5}:{(24,1),(26,1),(69,1),(70,1)}
        46:{1,2,5,6}:{(25,1),(35,1),(67,1),(71,1),(72,1),(76,1),(122,1)}
        47:{1,2,4,7}:{(25,1),(36,1),(68,1),(71,1),(73,1),(119,1)}
        48:{1,3,6}:{(25,1),(26,1),(37,1),(69,1),(73,1)}
        49:{1,3,4}:{(26,1),(28,1),(38,1),(70,1)}
        50:{1,2,3,7}:{(27,1),(73,1),(75,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(74,1),(75,1),(76,1),(122,1)}
        52:{3,5,6,7}:{(29,1),(30,1),(77,1),(168,1)}
        53:{2,4,6,7}:{(30,1),(31,1),(33,1),(77,1),(78,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(34,1),(78,1),(79,1),(119,1),(153,1)}
        55:{2,4,5,6}:{(32,1),(35,1),(79,1),(80,1),(83,1),(158,1),(171,1)}
        56:{1,3,6,7}:{(33,1),(34,1),(78,1),(81,1),(124,1)}
        57:{2,5,7}:{(34,1),(35,1),(36,1),(81,1)}
        58:{2,3,5,6}:{(35,1),(37,1),(72,1),(80,1),(82,1),(83,1),(85,1),(129,1),(158,1)}
        59:{2,3,7}:{(36,1),(37,1),(73,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(74,1),(83,1),(84,1),(85,1),(129,1)}
        61:{4,5,6,7}:{(86,1),(165,1)}
        62:{3,4,6,7}:{(39,1),(86,1),(87,1)}
        63:{2,4,5,7}:{(39,1),(40,1),(41,1),(87,1),(88,1),(106,1),(144,1)}
        64:{1,4,5,6}:{(40,1),(42,1),(88,1),(89,1),(97,1),(164,1)}
        65:{2,3,6,7}:{(41,1),(87,1),(90,1)}
        66:{1,3,5,7}:{(41,1),(42,1),(43,1),(88,1),(90,1),(91,1),(132,1)}
        67:{2,5,6}:{(42,1),(44,1),(91,1)}
        68:{2,4,7}:{(43,1),(44,1),(91,1),(93,1)}
        69:{2,3,6}:{(44,1),(45,1),(48,1),(93,1)}
        70:{2,3,4}:{(45,1),(49,1)}
        71:{1,2,5,7}:{(46,1),(47,1),(57,1),(91,1),(95,1),(96,1)}
        72:{1,3,5,6}:{(46,1),(48,1),(58,1),(92,1),(96,1),(97,1),(99,1),(140,1),(164,1)}
        73:{1,3,7}:{(47,1),(48,1),(59,1),(93,1)}
        74:{1,3,4,6}:{(48,1),(49,1),(51,1),(60,1),(94,1),(97,1),(98,1),(99,1),(140,1)}
        75:{1,2,4,7}:{(50,1),(51,1),(98,1),(100,1)}
        76:{1,2,5}:{(51,1),(99,1)}
        77:{2,5,6,7}:{(52,1),(53,1),(101,1),(162,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(56,1),(101,1),(102,1)}
        79:{2,4,5,7}:{(54,1),(55,1),(57,1),(102,1),(103,1),(106,1),(144,1),(165,1)}
        80:{3,5,6}:{(55,1),(103,1),(104,1)}
        81:{2,6,7}:{(56,1),(57,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(59,1),(96,1),(103,1),(105,1),(106,1),(144,1)}
        83:{2,4,6}:{(58,1),(97,1),(104,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(59,1),(60,1),(98,1),(106,1),(108,1)}
        85:{2,3,5}:{(60,1),(99,1),(107,1)}
        86:{3,5,6,7}:{(61,1),(62,1),(109,1),(156,1)}
        87:{2,4,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1)}
        88:{1,4,5,7}:{(63,1),(64,1),(66,1),(110,1),(111,1),(119,1),(153,1)}
        89:{2,4,5,6}:{(64,1),(67,1),(111,1),(112,1),(115,1),(170,1),(174,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(110,1),(113,1),(147,1)}
        91:{2,5,7}:{(66,1),(67,1),(68,1),(113,1)}
        92:{2,3,5,6}:{(67,1),(69,1),(72,1),(112,1),(114,1),(115,1),(117,1),(152,1),(170,1)}
        93:{2,3,7}:{(68,1),(69,1),(73,1)}
        94:{2,3,4,6}:{(69,1),(70,1),(74,1),(115,1),(116,1),(117,1),(152,1)}
        95:{1,2,6,7}:{(71,1),(81,1),(113,1),(118,1),(122,1)}
        96:{1,3,5,7}:{(71,1),(72,1),(73,1),(82,1),(114,1),(118,1),(119,1),(153,1)}
        97:{1,4,6}:{(72,1),(83,1),(115,1),(119,1),(120,1)}
        98:{1,3,4,7}:{(73,1),(74,1),(75,1),(84,1),(116,1),(119,1),(121,1)}
        99:{1,3,5}:{(74,1),(76,1),(85,1),(117,1),(120,1)}
       100:{1,2,5,7}:{(75,1),(76,1),(121,1),(122,1)}
       101:{1,5,6,7}:{(77,1),(78,1),(123,1),(153,1)}
       102:{2,4,6,7}:{(78,1),(79,1),(81,1),(123,1),(124,1),(155,1)}
       103:{3,5,7}:{(79,1),(80,1),(124,1),(125,1)}
       104:{3,4,6}:{(80,1),(83,1),(125,1),(126,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(118,1),(124,1),(127,1),(129,1)}
       106:{2,4,7}:{(82,1),(83,1),(119,1),(125,1)}
       107:{2,4,5}:{(83,1),(85,1),(120,1),(126,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(121,1),(128,1),(129,1)}
       109:{2,5,6,7}:{(86,1),(87,1),(130,1),(144,1)}
       110:{1,4,6,7}:{(87,1),(88,1),(90,1),(130,1),(131,1)}
       111:{2,4,5,7}:{(88,1),(89,1),(91,1),(131,1),(132,1),(135,1),(162,1),(172,1)}
       112:{3,5,6}:{(89,1),(132,1),(133,1)}
       113:{2,6,7}:{(90,1),(91,1)}
       114:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(132,1),(134,1),(135,1),(162,1)}
       115:{2,4,6}:{(92,1),(97,1),(133,1),(135,1),(136,1)}
       116:{2,3,4,7}:{(93,1),(94,1),(98,1),(135,1),(137,1)}
       117:{2,3,5}:{(94,1),(99,1),(136,1)}
       118:{1,3,6,7}:{(95,1),(96,1),(105,1),(134,1),(138,1),(140,1)}
       119:{1,4,7}:{(96,1),(97,1),(106,1),(135,1)}
       120:{1,4,5}:{(97,1),(99,1),(107,1),(136,1)}
       121:{1,3,5,7}:{(98,1),(99,1),(100,1),(108,1),(137,1),(139,1),(140,1)}
       122:{1,2,6}:{(100,1),(140,1)}
       123:{2,5,6,7}:{(101,1),(102,1),(141,1),(144,1)}
       124:{3,6,7}:{(102,1),(103,1)}
       125:{3,4,7}:{(103,1),(104,1),(106,1)}
       126:{3,4,5}:{(104,1),(107,1)}
       127:{2,4,6,7}:{(105,1),(106,1),(138,1),(142,1),(144,1),(145,1)}
       128:{2,4,5,7}:{(106,1),(107,1),(108,1),(139,1),(143,1),(144,1),(145,1)}
       129:{2,3,6}:{(108,1),(140,1),(145,1)}
       130:{1,5,6,7}:{(109,1),(110,1),(146,1),(153,1)}
       131:{2,4,6,7}:{(110,1),(111,1),(113,1),(146,1),(147,1),(167,1)}
       132:{3,5,7}:{(111,1),(112,1),(147,1),(148,1)}
       133:{3,4,6}:{(112,1),(115,1),(148,1),(149,1)}
       134:{2,3,6,7}:{(113,1),(114,1),(118,1),(147,1),(150,1),(152,1)}
       135:{2,4,7}:{(114,1),(115,1),(119,1),(148,1)}
       136:{2,4,5}:{(115,1),(117,1),(120,1),(149,1)}
       137:{2,3,5,7}:{(116,1),(117,1),(121,1),(151,1),(152,1)}
       138:{1,4,6,7}:{(118,1),(119,1),(127,1),(150,1),(153,1),(154,1)}
       139:{1,4,5,7}:{(119,1),(120,1),(121,1),(128,1),(151,1),(153,1),(154,1)}
       140:{1,3,6}:{(121,1),(122,1),(129,1),(152,1),(154,1)}
       141:{3,5,6,7}:{(123,1),(124,1),(155,1),(156,1)}
       142:{3,4,6,7}:{(124,1),(125,1),(127,1),(155,1),(156,1),(157,1)}
       143:{3,4,5,7}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
       144:{2,5,7}:{(127,1),(153,1),(156,1),(158,1)}
       145:{2,4,6}:{(128,1),(129,1),(154,1),(157,1),(158,1)}
       146:{2,5,6,7}:{(130,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(131,1),(132,1)}
       148:{3,4,7}:{(132,1),(133,1),(135,1)}
       149:{3,4,5}:{(133,1),(136,1)}
       150:{2,4,6,7}:{(134,1),(135,1),(138,1),(160,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(135,1),(136,1),(137,1),(139,1),(161,1),(162,1),(163,1)}
       152:{2,3,6}:{(137,1),(140,1),(163,1)}
       153:{1,5,7}:{(138,1),(144,1),(162,1),(164,1)}
       154:{1,4,6}:{(139,1),(140,1),(145,1),(163,1),(164,1)}
       155:{4,6,7}:{(141,1),(165,1)}
       156:{3,5,7}:{(142,1),(144,1),(165,1),(166,1)}
       157:{3,4,6}:{(143,1),(145,1),(166,1)}
       158:{2,5,6}:{(144,1),(145,1),(164,1),(166,1)}
       159:{3,5,6,7}:{(146,1),(147,1),(167,1),(168,1)}
       160:{3,4,6,7}:{(147,1),(148,1),(150,1),(167,1),(168,1),(169,1)}
       161:{3,4,5,7}:{(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{2,5,7}:{(150,1),(153,1),(168,1),(170,1)}
       163:{2,4,6}:{(151,1),(152,1),(154,1),(169,1),(170,1)}
       164:{1,5,6}:{(153,1),(154,1),(158,1),(170,1)}
       165:{4,5,7}:{(155,1),(156,1),(171,1)}
       166:{3,5,6}:{(156,1),(157,1),(158,1),(171,1)}
       167:{4,6,7}:{(159,1),(172,1)}
       168:{3,5,7}:{(160,1),(162,1),(172,1),(173,1)}
       169:{3,4,6}:{(161,1),(163,1),(173,1)}
       170:{2,5,6}:{(162,1),(163,1),(164,1),(173,1)}
       171:{4,5,6}:{(165,1),(166,1)}
       172:{4,5,7}:{(167,1),(168,1),(174,1)}
       173:{3,5,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2647 :   0:{3,4,5,6}:{(2,1),(3,1),(137,1),(162,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(96,1)}
         2:{2,4,5,6}:{(0,1),(8,1),(11,1),(12,1),(119,1),(154,1)}
         3:{3,4,5,7}:{(0,1),(10,1),(12,1),(153,1),(169,1)}
         4:{1,2,3,5}:{(7,1),(13,1),(34,1),(46,1)}
         5:{1,3,4,5}:{(1,1),(15,1),(16,1),(42,1),(46,1),(76,1)}
         6:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(90,1),(119,1)}
         7:{1,2,3,6}:{(4,1),(18,1),(19,1),(68,1)}
         8:{2,3,5,6}:{(2,1),(6,1),(21,1),(22,1)}
         9:{4,5,6,7}:{(23,1),(172,1)}
        10:{3,4,6,7}:{(3,1),(23,1),(24,1)}
        11:{1,4,5,6}:{(2,1),(21,1),(25,1),(26,1),(101,1),(142,1)}
        12:{2,4,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1),(141,1),(165,1)}
        13:{1,2,4}:{(4,1),(27,1)}
        14:{2,3,4}:{(27,1),(29,1)}
        15:{2,4,5}:{(5,1),(29,1),(30,1)}
        16:{1,3,4,6}:{(5,1),(6,1),(21,1),(30,1),(31,1),(64,1),(68,1),(101,1)}
        17:{2,3,4,7}:{(6,1),(22,1),(31,1),(112,1),(141,1)}
        18:{1,2,3,7}:{(7,1),(32,1),(92,1)}
        19:{1,2,4,6}:{(7,1),(13,1),(32,1),(33,1),(34,1),(75,1)}
        20:{2,3,4,6}:{(14,1),(33,1),(35,1),(37,1),(49,1),(80,1),(82,1)}
        21:{1,3,5,6}:{(8,1),(11,1),(16,1),(38,1),(39,1),(43,1)}
        22:{2,3,5,7}:{(8,1),(12,1),(17,1),(36,1),(39,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(40,1),(169,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(36,1),(40,1),(41,1)}
        25:{2,4,5,6}:{(11,1),(38,1),(43,1),(44,1),(82,1),(125,1),(128,1)}
        26:{1,4,5,7}:{(11,1),(12,1),(39,1),(41,1),(44,1),(124,1),(157,1)}
        27:{1,3,4}:{(13,1),(14,1),(45,1),(46,1)}
        28:{1,2,4,5}:{(13,1),(15,1),(34,1),(46,1),(47,1),(76,1),(89,1)}
        29:{2,3,5}:{(14,1),(15,1),(46,1),(49,1)}
        30:{2,4,6}:{(15,1),(16,1),(38,1),(49,1),(50,1)}
        31:{1,3,4,7}:{(16,1),(17,1),(39,1),(50,1),(88,1),(92,1),(124,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(52,1),(53,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(27,1),(51,1),(52,1),(54,1),(68,1),(99,1),(101,1)}
        34:{1,2,5}:{(19,1),(54,1)}
        35:{2,3,4,7}:{(20,1),(52,1),(56,1),(71,1),(106,1)}
        36:{2,3,6,7}:{(22,1),(24,1),(57,1)}
        37:{2,3,5}:{(20,1),(54,1),(58,1)}
        38:{2,5,6}:{(21,1),(30,1),(60,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(26,1),(31,1),(57,1),(60,1),(65,1)}
        40:{2,5,6,7}:{(23,1),(24,1),(61,1),(165,1)}
        41:{1,4,6,7}:{(24,1),(26,1),(57,1),(61,1),(63,1)}
        42:{3,4,5}:{(58,1),(64,1)}
        43:{3,5,6}:{(25,1),(64,1),(65,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(60,1),(63,1),(65,1),(106,1),(145,1),(147,1)}
        45:{2,3,4}:{(27,1),(66,1)}
        46:{1,3,5}:{(27,1),(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,4,6}:{(28,1),(30,1),(55,1),(68,1),(69,1),(101,1),(111,1)}
        48:{2,3,4,5}:{(29,1),(58,1),(67,1),(70,1)}
        49:{2,3,6}:{(29,1),(30,1),(68,1),(71,1)}
        50:{2,4,7}:{(30,1),(31,1),(60,1),(71,1)}
        51:{2,3,4,6}:{(33,1),(45,1),(72,1),(73,1),(90,1),(118,1),(119,1)}
        52:{1,3,4,7}:{(32,1),(33,1),(35,1),(72,1),(74,1),(92,1),(124,1)}
        53:{1,2,5,7}:{(32,1),(34,1),(74,1),(75,1)}
        54:{1,3,5}:{(33,1),(34,1),(37,1),(73,1),(76,1)}
        55:{1,2,5,6}:{(34,1),(38,1),(47,1),(75,1),(77,1),(78,1),(132,1)}
        56:{2,3,5,7}:{(35,1),(37,1),(74,1),(79,1),(80,1)}
        57:{1,3,6,7}:{(36,1),(39,1),(41,1),(81,1),(86,1)}
        58:{2,4,5}:{(37,1),(42,1),(76,1),(82,1)}
        59:{2,3,5,6}:{(37,1),(38,1),(43,1),(49,1),(77,1),(80,1),(82,1),(83,1),(125,1)}
        60:{2,5,7}:{(38,1),(39,1),(50,1),(81,1)}
        61:{1,5,6,7}:{(40,1),(41,1),(84,1),(157,1)}
        62:{3,4,5,7}:{(42,1),(79,1),(85,1),(88,1),(130,1)}
        63:{2,4,6,7}:{(41,1),(44,1),(81,1),(84,1),(86,1),(129,1)}
        64:{3,4,6}:{(42,1),(43,1),(82,1),(88,1)}
        65:{3,5,7}:{(43,1),(44,1),(86,1),(88,1)}
        66:{2,3,5}:{(45,1),(46,1),(89,1),(90,1)}
        67:{1,3,4,5}:{(46,1),(48,1),(76,1),(89,1),(91,1),(116,1)}
        68:{1,3,6}:{(46,1),(47,1),(49,1),(90,1),(92,1)}
        69:{1,2,4,7}:{(47,1),(50,1),(78,1),(92,1),(124,1),(133,1)}
        70:{2,3,4,6}:{(48,1),(49,1),(82,1),(91,1),(93,1),(94,1)}
        71:{2,3,7}:{(49,1),(50,1),(92,1)}
        72:{2,3,4,7}:{(51,1),(52,1),(95,1),(112,1),(141,1)}
        73:{2,3,5}:{(51,1),(54,1),(96,1)}
        74:{1,3,5,7}:{(52,1),(53,1),(54,1),(56,1),(95,1),(98,1),(99,1)}
        75:{1,2,6}:{(53,1),(99,1)}
        76:{1,4,5}:{(54,1),(58,1),(96,1),(101,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(59,1),(68,1),(97,1),(99,1),(101,1),(102,1),(142,1)}
        78:{1,2,5,7}:{(55,1),(60,1),(69,1),(100,1),(102,1),(149,1)}
        79:{2,4,5,7}:{(56,1),(58,1),(62,1),(98,1),(103,1),(106,1),(145,1)}
        80:{2,3,6}:{(56,1),(99,1),(103,1)}
        81:{2,6,7}:{(57,1),(60,1)}
        82:{2,4,6}:{(58,1),(59,1),(64,1),(101,1),(106,1)}
        83:{2,3,5,7}:{(59,1),(60,1),(65,1),(71,1),(102,1),(104,1),(106,1),(145,1)}
        84:{2,5,6,7}:{(61,1),(63,1),(107,1),(145,1)}
        85:{3,4,6}:{(62,1),(103,1),(108,1)}
        86:{3,6,7}:{(63,1),(65,1)}
        87:{3,4,5,6}:{(64,1),(105,1),(108,1),(110,1)}
        88:{3,4,7}:{(64,1),(65,1),(106,1)}
        89:{2,4,5}:{(66,1),(67,1),(111,1)}
        90:{2,3,6}:{(66,1),(68,1),(111,1),(112,1)}
        91:{1,3,4,6}:{(67,1),(68,1),(70,1),(101,1),(111,1),(113,1),(114,1),(137,1)}
        92:{1,3,7}:{(68,1),(69,1),(71,1),(112,1)}
        93:{2,3,5,6}:{(70,1),(105,1),(113,1),(115,1)}
        94:{2,3,4,7}:{(70,1),(71,1),(106,1),(114,1),(115,1)}
        95:{2,3,5,7}:{(72,1),(73,1),(74,1),(117,1),(118,1)}
        96:{2,4,5}:{(73,1),(76,1),(116,1),(119,1)}
        97:{2,3,5,6}:{(73,1),(77,1),(90,1),(118,1),(119,1),(120,1),(132,1),(152,1),(154,1)}
        98:{1,4,5,7}:{(74,1),(76,1),(79,1),(117,1),(121,1),(124,1),(157,1)}
        99:{1,3,6}:{(74,1),(75,1),(80,1),(118,1),(121,1)}
       100:{1,2,6,7}:{(75,1),(78,1),(81,1),(122,1),(161,1)}
       101:{1,4,6}:{(76,1),(77,1),(82,1),(119,1),(124,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(83,1),(92,1),(120,1),(122,1),(124,1),(157,1)}
       103:{2,4,6}:{(79,1),(80,1),(85,1),(121,1),(125,1)}
       104:{2,3,6,7}:{(80,1),(81,1),(83,1),(86,1),(122,1),(126,1)}
       105:{2,4,5,6}:{(82,1),(87,1),(93,1),(123,1),(125,1),(127,1)}
       106:{2,4,7}:{(82,1),(83,1),(88,1),(124,1)}
       107:{3,5,6,7}:{(84,1),(86,1),(129,1),(130,1)}
       108:{3,5,6}:{(85,1),(125,1),(128,1),(130,1)}
       109:{3,4,6,7}:{(85,1),(86,1),(88,1),(126,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(87,1),(88,1),(127,1),(130,1),(131,1)}
       111:{2,4,6}:{(89,1),(90,1),(91,1),(132,1),(133,1)}
       112:{2,3,7}:{(90,1),(92,1),(133,1)}
       113:{1,3,5,6}:{(91,1),(93,1),(123,1),(132,1),(134,1),(152,1)}
       114:{1,3,4,7}:{(91,1),(92,1),(94,1),(124,1),(133,1),(134,1),(153,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(127,1),(134,1),(135,1)}
       116:{3,4,5}:{(96,1),(137,1)}
       117:{2,4,5,7}:{(95,1),(96,1),(98,1),(136,1),(138,1),(141,1),(165,1)}
       118:{2,3,6}:{(95,1),(99,1),(138,1)}
       119:{2,4,6}:{(96,1),(97,1),(101,1),(137,1),(141,1)}
       120:{2,3,5,7}:{(97,1),(102,1),(112,1),(139,1),(141,1),(149,1),(164,1),(165,1)}
       121:{1,4,6}:{(98,1),(99,1),(103,1),(138,1),(142,1)}
       122:{1,3,6,7}:{(99,1),(100,1),(102,1),(104,1),(139,1),(143,1)}
       123:{1,4,5,6}:{(101,1),(105,1),(113,1),(140,1),(142,1),(144,1)}
       124:{1,4,7}:{(101,1),(102,1),(106,1),(141,1)}
       125:{2,5,6}:{(103,1),(108,1),(142,1),(145,1)}
       126:{2,4,6,7}:{(103,1),(104,1),(106,1),(109,1),(143,1),(145,1)}
       127:{2,4,5,7}:{(105,1),(106,1),(110,1),(115,1),(144,1),(145,1),(146,1)}
       128:{4,5,6}:{(108,1),(147,1)}
       129:{4,6,7}:{(107,1),(147,1)}
       130:{3,5,7}:{(108,1),(109,1),(145,1),(147,1)}
       131:{3,4,6,7}:{(110,1),(146,1),(148,1)}
       132:{2,5,6}:{(111,1),(113,1),(149,1)}
       133:{2,4,7}:{(111,1),(112,1),(114,1),(149,1)}
       134:{1,3,5,7}:{(113,1),(114,1),(115,1),(144,1),(149,1),(150,1),(164,1)}
       135:{2,3,6,7}:{(115,1),(146,1),(150,1)}
       136:{3,4,5,7}:{(116,1),(117,1),(151,1),(153,1),(169,1)}
       137:{3,4,6}:{(116,1),(119,1),(152,1),(153,1)}
       138:{2,4,6}:{(117,1),(118,1),(121,1),(151,1),(154,1)}
       139:{2,3,6,7}:{(118,1),(120,1),(122,1),(155,1),(161,1),(170,1)}
       140:{2,4,5,6}:{(119,1),(123,1),(132,1),(152,1),(154,1),(156,1),(168,1)}
       141:{2,4,7}:{(119,1),(120,1),(124,1),(153,1)}
       142:{1,5,6}:{(121,1),(125,1),(154,1),(157,1)}
       143:{1,4,6,7}:{(121,1),(122,1),(124,1),(126,1),(155,1),(157,1)}
       144:{1,4,5,7}:{(123,1),(124,1),(127,1),(134,1),(156,1),(157,1),(158,1)}
       145:{2,5,7}:{(125,1),(126,1),(130,1),(157,1)}
       146:{2,4,6,7}:{(127,1),(131,1),(135,1),(158,1),(159,1)}
       147:{4,5,7}:{(128,1),(129,1),(130,1)}
       148:{3,5,6,7}:{(130,1),(131,1),(159,1),(160,1)}
       149:{2,5,7}:{(132,1),(133,1),(134,1),(161,1)}
       150:{1,3,6,7}:{(134,1),(135,1),(158,1),(161,1),(170,1)}
       151:{3,4,6}:{(136,1),(138,1),(162,1)}
       152:{3,5,6}:{(137,1),(140,1),(164,1)}
       153:{3,4,7}:{(137,1),(141,1),(164,1)}
       154:{2,5,6}:{(138,1),(142,1),(162,1),(165,1)}
       155:{2,4,6,7}:{(138,1),(139,1),(141,1),(143,1),(163,1),(165,1)}
       156:{2,4,5,7}:{(140,1),(141,1),(144,1),(149,1),(164,1),(165,1),(166,1),(172,1)}
       157:{1,5,7}:{(142,1),(143,1),(145,1),(165,1)}
       158:{1,4,6,7}:{(144,1),(146,1),(150,1),(166,1),(167,1)}
       159:{2,5,6,7}:{(145,1),(146,1),(148,1),(167,1)}
       160:{4,5,6,7}:{(147,1),(148,1)}
       161:{2,6,7}:{(149,1),(150,1)}
       162:{3,5,6}:{(151,1),(154,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(151,1),(153,1),(155,1),(169,1),(170,1),(174,1)}
       164:{3,5,7}:{(152,1),(153,1),(156,1),(170,1)}
       165:{2,5,7}:{(154,1),(155,1),(157,1),(169,1)}
       166:{2,4,6,7}:{(156,1),(158,1),(161,1),(170,1),(171,1),(174,1)}
       167:{1,5,6,7}:{(157,1),(158,1),(159,1),(171,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(165,1),(172,1)}
       170:{3,6,7}:{(164,1),(166,1)}
       171:{2,5,6,7}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2648 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(100,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(46,1),(102,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(11,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(87,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(10,1),(13,1),(14,1),(61,1),(87,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(34,1),(60,1),(89,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,3,5,6}:{(5,1),(6,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(20,1),(101,1),(116,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(73,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(23,1),(77,1),(101,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(19,1),(23,1),(24,1),(45,1),(48,1),(73,1)}
        15:{2,4,5}:{(7,1),(24,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(14,1),(29,1),(30,1),(32,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(27,1),(29,1),(31,1),(88,1),(108,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(58,1),(85,1),(109,1)}
        22:{1,2,4,5}:{(15,1),(33,1),(34,1),(62,1),(89,1),(93,1)}
        23:{1,3,4,7}:{(13,1),(14,1),(29,1),(35,1),(59,1),(63,1),(88,1)}
        24:{2,4,6}:{(14,1),(15,1),(30,1),(35,1),(36,1)}
        25:{2,3,5}:{(15,1),(34,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(20,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(23,1),(38,1),(42,1),(44,1)}
        30:{2,5,6}:{(19,1),(24,1),(42,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(39,1),(42,1),(44,1),(70,1),(74,1),(98,1)}
        32:{3,5,6}:{(21,1),(44,1),(45,1)}
        33:{1,2,4,6}:{(22,1),(24,1),(41,1),(47,1),(48,1),(73,1),(78,1)}
        34:{1,3,5}:{(22,1),(25,1),(46,1),(48,1),(49,1)}
        35:{2,4,7}:{(23,1),(24,1),(42,1),(50,1)}
        36:{2,3,6}:{(24,1),(25,1),(48,1),(50,1)}
        37:{2,3,4}:{(25,1),(49,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{1,2,5,6}:{(30,1),(33,1),(55,1),(56,1),(93,1),(114,1)}
        42:{2,5,7}:{(29,1),(30,1),(35,1),(52,1)}
        43:{2,3,5,6}:{(30,1),(32,1),(36,1),(56,1),(57,1),(58,1),(66,1),(95,1),(109,1)}
        44:{3,5,7}:{(31,1),(32,1),(53,1),(59,1)}
        45:{3,4,6}:{(32,1),(58,1),(59,1),(60,1)}
        46:{2,3,5}:{(34,1),(61,1),(62,1),(93,1)}
        47:{1,2,4,7}:{(33,1),(35,1),(55,1),(63,1),(88,1),(92,1)}
        48:{1,3,6}:{(33,1),(34,1),(36,1),(61,1),(63,1)}
        49:{1,3,4}:{(34,1),(37,1),(62,1)}
        50:{2,3,7}:{(35,1),(36,1),(63,1)}
        51:{2,3,4,6}:{(36,1),(37,1),(58,1),(64,1),(65,1),(66,1),(95,1)}
        52:{2,6,7}:{(38,1),(42,1)}
        53:{3,6,7}:{(39,1),(44,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(47,1),(67,1),(72,1),(105,1)}
        56:{1,3,5,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(80,1),(106,1),(117,1)}
        57:{2,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(68,1),(72,1),(74,1),(98,1)}
        58:{2,4,6}:{(43,1),(45,1),(73,1),(74,1),(75,1)}
        59:{3,4,7}:{(44,1),(45,1),(74,1)}
        60:{3,4,5}:{(45,1),(75,1)}
        61:{2,3,6}:{(46,1),(48,1),(77,1),(78,1)}
        62:{2,4}:{(46,1),(49,1)}
        63:{1,3,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(73,1),(78,1),(79,1),(80,1),(100,1),(106,1)}
        65:{2,3,4,7}:{(50,1),(51,1),(74,1),(79,1),(81,1)}
        66:{2,3,5}:{(51,1),(75,1),(80,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(57,1),(82,1),(83,1),(95,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(59,1),(83,1),(84,1),(91,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(61,1),(86,1),(87,1),(93,1),(111,1),(114,1),(121,1),(122,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(63,1),(82,1),(86,1),(88,1),(108,1)}
        73:{1,4,6}:{(56,1),(58,1),(87,1),(88,1),(89,1)}
        74:{2,4,7}:{(57,1),(58,1),(59,1),(88,1)}
        75:{2,4,5}:{(58,1),(60,1),(66,1),(89,1)}
        76:{3,4,5,7}:{(59,1),(60,1),(84,1),(90,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{2,4,6}:{(61,1),(62,1),(64,1),(92,1),(93,1),(114,1)}
        79:{1,3,4,7}:{(63,1),(64,1),(65,1),(88,1),(92,1),(94,1),(110,1)}
        80:{1,3,5}:{(64,1),(66,1),(89,1),(93,1),(111,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(90,1),(94,1),(95,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(72,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(74,1),(97,1),(98,1),(104,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1),(101,1),(105,1),(116,1),(118,1)}
        87:{2,4,6}:{(71,1),(73,1),(100,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(74,1),(101,1)}
        89:{1,4,5}:{(73,1),(75,1),(80,1),(102,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(76,1),(81,1),(98,1),(103,1),(104,1)}
        91:{3,4,6}:{(76,1),(99,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(79,1),(105,1)}
        93:{2,5}:{(78,1),(80,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(81,1),(103,1),(105,1),(106,1),(118,1)}
        95:{2,3,6}:{(81,1),(104,1),(106,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(88,1),(107,1),(108,1),(113,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(91,1),(109,1)}
       100:{3,4,6}:{(87,1),(110,1),(111,1),(122,1)}
       101:{2,4,7}:{(86,1),(87,1),(88,1),(110,1)}
       102:{2,4,5}:{(87,1),(89,1),(93,1),(111,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(90,1),(94,1),(108,1),(112,1),(113,1)}
       104:{2,4,6}:{(90,1),(91,1),(95,1),(109,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(94,1),(114,1)}
       106:{1,3,6}:{(94,1),(95,1),(113,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(101,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(104,1),(117,1)}
       110:{3,4,7}:{(100,1),(101,1),(118,1)}
       111:{3,5}:{(100,1),(102,1)}
       112:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       113:{1,4,6}:{(103,1),(104,1),(106,1),(117,1),(119,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(113,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(112,1),(122,1)}
       119:{2,4,6}:{(112,1),(113,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2649 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(52,1),(116,1),(131,1),(182,1),(187,1),(209,1),(225,1)}
         1:{1,2,3,5,7}:{(4,1),(5,1),(30,1),(32,1),(143,1),(165,1),(239,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(40,1),(85,1),(94,1),(168,1),(176,1),(178,1),(236,1),(272,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(83,1),(161,1),(230,1),(237,1)}
         4:{1,2,3,6}:{(1,1),(14,1),(55,1),(287,1)}
         5:{1,2,4,7}:{(1,1),(12,1),(14,1),(213,1)}
         6:{2,3,4,7}:{(12,1),(16,1),(17,1),(133,1),(222,1)}
         7:{2,4,5,7}:{(2,1),(17,1),(18,1),(61,1),(65,1),(133,1),(223,1),(315,1)}
         8:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1),(122,1),(132,1),(285,1)}
         9:{2,3,5,6}:{(3,1),(19,1),(21,1),(22,1),(274,1),(281,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(22,1),(48,1),(118,1),(199,1),(209,1),(225,1),(278,1),(286,1)}
        11:{1,2,3,6,7}:{(4,1),(23,1),(24,1),(87,1),(143,1),(146,1),(232,1),(241,1),(332,1),(394,1)}
        12:{1,3,4,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(168,1),(263,1)}
        13:{1,2,3,5,6}:{(4,1),(23,1),(31,1),(32,1),(73,1),(86,1),(89,1),(146,1),(165,1),(171,1),(232,1),(267,1),(326,1),(350,1),(392,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(32,1)}
        15:{1,2,4,5,7}:{(5,1),(7,1),(30,1),(32,1),(33,1),(81,1),(85,1),(91,1),(168,1),(236,1),(239,1),(264,1),(351,1)}
        16:{2,3,4,6}:{(6,1),(29,1),(35,1),(36,1),(95,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(30,1),(35,1),(36,1),(270,1),(352,1)}
        18:{2,4,6}:{(7,1),(8,1),(36,1),(37,1)}
        19:{1,3,5,6}:{(8,1),(9,1),(37,1),(39,1),(40,1),(97,1),(327,1)}
        20:{1,3,4,6,7}:{(8,1),(10,1),(38,1),(40,1),(77,1),(87,1),(152,1),(168,1),(178,1),(249,1),(272,1),(331,1)}
        21:{2,4,5,6}:{(9,1),(39,1),(41,1),(42,1),(161,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(40,1),(42,1),(319,1),(328,1)}
        23:{1,2,3,5,7}:{(11,1),(13,1),(44,1),(45,1),(105,1),(123,1),(219,1),(313,1),(380,1),(410,1)}
        24:{1,2,4,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1),(106,1),(190,1),(280,1),(286,1),(287,1)}
        25:{2,3,4,6,7}:{(16,1),(43,1),(46,1),(63,1),(104,1),(109,1),(133,1),(192,1),(198,1),(286,1),(356,1),(408,1),(424,1)}
        26:{2,3,5,6,7}:{(22,1),(47,1),(48,1),(50,1),(114,1),(199,1)}
        27:{2,4,5,6,7}:{(48,1),(49,1),(50,1),(114,1),(275,1),(299,1)}
        28:{2,3,4,7}:{(12,1),(51,1),(52,1),(209,1),(303,1)}
        29:{1,3,4,6}:{(12,1),(14,1),(16,1),(51,1),(54,1),(55,1),(122,1)}
        30:{1,3,5,7}:{(12,1),(15,1),(17,1),(52,1),(54,1),(55,1),(310,1),(380,1)}
        31:{1,2,4,6}:{(13,1),(44,1),(56,1),(57,1),(122,1),(213,1),(215,1),(409,1)}
        32:{1,2,5}:{(14,1),(54,1)}
        33:{1,2,4,6}:{(15,1),(18,1),(55,1),(58,1),(115,1),(122,1),(285,1),(287,1)}
        34:{2,3,4,5,7}:{(17,1),(53,1),(60,1),(61,1),(108,1),(130,1),(133,1),(187,1),(207,1),(306,1)}
        35:{2,3,5}:{(16,1),(54,1),(61,1)}
        36:{2,3,6}:{(17,1),(18,1),(55,1)}
        37:{2,5,6}:{(18,1),(19,1),(65,1)}
        38:{2,4,6,7}:{(18,1),(20,1),(63,1),(65,1),(133,1),(296,1),(315,1)}
        39:{1,4,5,6}:{(19,1),(21,1),(64,1),(67,1),(122,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(22,1),(65,1),(67,1),(135,1),(365,1)}
        41:{3,4,5,6}:{(21,1),(68,1),(208,1),(274,1)}
        42:{2,4,5,7}:{(21,1),(22,1),(48,1),(67,1),(68,1),(209,1)}
        43:{1,3,4,6,7}:{(24,1),(25,1),(29,1),(69,1),(70,1),(71,1),(87,1),(141,1),(144,1),(146,1),(168,1),(240,1),(325,1),(331,1),(394,1),(420,1)}
        44:{1,2,4,7}:{(23,1),(31,1),(71,1),(168,1),(266,1),(420,1)}
        45:{1,2,5,7}:{(24,1),(32,1),(70,1),(73,1),(326,1),(328,1)}
        46:{2,3,5,7}:{(25,1),(35,1),(70,1),(74,1),(75,1),(244,1),(328,1),(385,1)}
        47:{1,3,5,6,7}:{(26,1),(40,1),(76,1),(77,1),(152,1),(157,1),(249,1)}
        48:{2,4,6,7}:{(26,1),(42,1),(77,1),(78,1)}
        49:{1,4,5,6,7}:{(27,1),(77,1),(79,1),(80,1),(157,1),(234,1),(252,1)}
        50:{3,5,6,7}:{(27,1),(78,1),(319,1),(341,1)}
        51:{2,3,4,6}:{(28,1),(29,1),(82,1),(83,1),(161,1)}
        52:{2,3,5,7}:{(28,1),(30,1),(81,1),(82,1),(83,1),(345,1),(400,1)}
        53:{1,3,4,5,7}:{(30,1),(34,1),(81,1),(84,1),(85,1),(160,1),(164,1),(168,1),(236,1),(257,1),(259,1),(347,1)}
        54:{1,3,5}:{(29,1),(32,1),(35,1),(82,1),(85,1)}
        55:{1,3,6}:{(30,1),(33,1),(36,1),(83,1)}
        56:{1,3,4,6}:{(31,1),(71,1),(88,1),(89,1),(146,1),(263,1),(350,1)}
        57:{1,2,4,5}:{(31,1),(32,1),(85,1),(89,1),(166,1),(326,1),(391,1)}
        58:{1,2,5,6}:{(32,1),(33,1),(37,1),(86,1),(91,1),(158,1),(327,1)}
        59:{1,2,4,6,7}:{(33,1),(38,1),(87,1),(91,1),(159,1),(168,1),(331,1),(332,1),(351,1)}
        60:{2,3,4,6}:{(34,1),(36,1),(84,1),(92,1),(95,1),(150,1),(237,1)}
        61:{2,4,5}:{(35,1),(85,1),(94,1),(95,1)}
        62:{2,3,5,6}:{(35,1),(36,1),(37,1),(86,1),(95,1),(96,1),(97,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(87,1),(96,1),(152,1),(352,1)}
        64:{2,4,5,6}:{(37,1),(39,1),(95,1),(97,1),(98,1)}
        65:{2,5,7}:{(37,1),(38,1),(40,1)}
        66:{1,3,4,5,6}:{(39,1),(41,1),(97,1),(99,1),(100,1),(154,1),(167,1),(179,1),(233,1),(250,1),(339,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(42,1),(77,1),(98,1),(168,1)}
        68:{3,4,5,7}:{(41,1),(42,1),(78,1),(259,1),(319,1)}
        69:{2,3,4,6,7}:{(43,1),(51,1),(101,1),(104,1),(118,1),(183,1),(192,1),(209,1),(278,1),(286,1),(290,1),(371,1),(411,1)}
        70:{1,3,5,7}:{(43,1),(45,1),(46,1),(54,1),(101,1),(102,1),(103,1),(363,1),(365,1)}
        71:{1,3,4,7}:{(44,1),(56,1),(104,1),(105,1),(380,1)}
        72:{1,2,4,5,7}:{(44,1),(45,1),(57,1),(102,1),(105,1),(106,1),(187,1)}
        73:{1,2,5,6}:{(45,1),(103,1),(106,1),(281,1),(287,1)}
        74:{2,4,5,7}:{(46,1),(61,1),(102,1),(108,1),(109,1),(133,1),(405,1),(424,1)}
        75:{2,3,5,6}:{(46,1),(103,1),(109,1),(192,1),(194,1),(281,1)}
        76:{2,5,6,7}:{(47,1),(65,1),(111,1),(296,1)}
        77:{1,4,6,7}:{(47,1),(48,1),(67,1),(111,1)}
        78:{3,4,6,7}:{(48,1),(50,1),(68,1)}
        79:{2,4,5,6,7}:{(49,1),(111,1),(113,1),(114,1),(195,1),(203,1)}
        80:{1,3,5,6,7}:{(49,1),(50,1),(112,1),(113,1),(114,1),(282,1)}
        81:{2,4,5,7}:{(52,1),(53,1),(115,1),(116,1),(206,1),(209,1),(304,1),(378,1)}
        82:{2,3,5}:{(51,1),(54,1),(116,1)}
        83:{2,3,6}:{(52,1),(55,1),(115,1)}
        84:{1,3,4,6}:{(53,1),(55,1),(60,1),(115,1),(119,1),(122,1),(208,1),(285,1)}
        85:{1,4,5}:{(54,1),(61,1),(116,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(55,1),(58,1),(62,1),(117,1),(122,1),(123,1)}
        87:{1,3,6,7}:{(55,1),(59,1),(63,1),(118,1),(123,1),(380,1)}
        88:{2,3,4,6}:{(56,1),(104,1),(125,1),(126,1),(192,1),(215,1),(222,1),(303,1),(314,1),(377,1)}
        89:{1,3,5}:{(56,1),(57,1),(126,1)}
        90:{1,2,4,5,6}:{(57,1),(58,1),(64,1),(106,1),(122,1),(127,1),(128,1),(136,1),(185,1),(205,1),(215,1),(226,1),(281,1),(297,1),(308,1),(311,1),(364,1),(375,1),(402,1),(409,1)}
        91:{1,2,5,7}:{(58,1),(59,1),(65,1),(123,1),(206,1),(365,1)}
        92:{2,3,5,6}:{(60,1),(119,1),(129,1),(130,1),(194,1),(281,1)}
        93:{2,3,4,6,7}:{(60,1),(63,1),(120,1),(130,1),(133,1),(198,1),(220,1),(286,1),(306,1),(374,1)}
        94:{3,4,5}:{(61,1),(132,1)}
        95:{2,4,6}:{(61,1),(62,1),(122,1),(132,1),(133,1)}
        96:{2,3,5,7}:{(62,1),(63,1),(65,1),(123,1),(133,1),(135,1)}
        97:{3,5,6}:{(64,1),(132,1),(135,1)}
        98:{2,4,5,7}:{(64,1),(65,1),(67,1),(111,1),(133,1),(135,1)}
        99:{2,4,5,6}:{(66,1),(134,1),(136,1),(137,1),(215,1),(226,1),(281,1)}
       100:{1,3,4,5,7}:{(66,1),(67,1),(68,1),(112,1),(135,1),(137,1),(202,1),(216,1),(227,1),(282,1),(298,1),(373,1)}
       101:{2,3,5,7}:{(69,1),(70,1),(82,1),(138,1),(139,1),(319,1),(328,1),(333,1)}
       102:{1,4,5,7}:{(70,1),(74,1),(85,1),(138,1),(141,1),(168,1),(391,1),(420,1)}
       103:{1,3,5,6}:{(70,1),(73,1),(75,1),(139,1),(141,1),(146,1),(240,1),(327,1)}
       104:{2,3,4,7}:{(71,1),(88,1),(144,1),(145,1),(266,1),(352,1),(400,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(89,1),(145,1),(146,1)}
       106:{1,2,4,6}:{(72,1),(73,1),(141,1),(146,1),(237,1)}
       107:{1,2,5,6,7}:{(73,1),(76,1),(91,1),(142,1),(147,1),(157,1),(253,1),(254,1),(328,1),(332,1),(390,1),(393,1),(417,1)}
       108:{3,4,5,7}:{(74,1),(94,1),(150,1),(178,1),(244,1),(414,1),(426,1)}
       109:{2,4,6}:{(74,1),(75,1),(141,1),(150,1)}
       110:{2,3,5,6,7}:{(75,1),(76,1),(96,1),(142,1),(151,1),(152,1),(241,1),(244,1),(328,1),(417,1),(419,1),(425,1)}
       111:{2,4,6,7}:{(76,1),(77,1),(98,1),(152,1)}
       112:{1,3,4,6,7}:{(77,1),(78,1),(80,1),(100,1),(152,1),(153,1),(155,1),(249,1),(252,1),(341,1)}
       113:{3,5,6,7}:{(79,1),(152,1),(155,1),(244,1)}
       114:{2,5,6,7}:{(80,1),(153,1),(157,1),(328,1)}
       115:{2,4,6}:{(81,1),(83,1),(84,1),(158,1)}
       116:{2,4,5}:{(82,1),(85,1),(160,1),(161,1)}
       117:{2,3,5,6}:{(82,1),(83,1),(86,1),(158,1),(161,1),(162,1),(255,1)}
       118:{2,3,6,7}:{(83,1),(87,1),(159,1),(162,1),(342,1),(400,1)}
       119:{1,3,5,6}:{(84,1),(92,1),(158,1),(163,1),(164,1),(255,1),(327,1)}
       120:{1,3,4,6,7}:{(84,1),(87,1),(93,1),(159,1),(164,1),(168,1),(259,1),(260,1),(331,1),(342,1),(347,1),(398,1)}
       121:{1,3,4,5}:{(85,1),(89,1),(94,1),(160,1),(166,1),(167,1),(338,1),(391,1),(414,1)}
       122:{1,4,6}:{(85,1),(86,1),(95,1),(161,1),(168,1)}
       123:{1,3,5,7}:{(86,1),(87,1),(91,1),(96,1),(162,1),(168,1)}
       124:{1,2,3,6}:{(143,1),(165,1),(169,1),(350,1)}
       125:{1,3,4,6}:{(88,1),(144,1),(169,1),(170,1),(240,1),(263,1),(265,1),(350,1)}
       126:{2,3,5}:{(88,1),(89,1),(166,1),(170,1)}
       127:{1,3,5,6}:{(89,1),(90,1),(97,1),(146,1),(167,1),(171,1),(172,1),(255,1),(339,1),(350,1),(415,1)}
       128:{1,2,4,5,7}:{(90,1),(91,1),(98,1),(147,1),(168,1),(172,1),(181,1),(234,1),(256,1),(266,1),(273,1),(328,1),(340,1),(349,1),(351,1),(393,1),(399,1),(416,1),(420,1)}
       129:{2,4,5,6}:{(92,1),(95,1),(163,1),(174,1),(175,1)}
       130:{2,3,5,7}:{(92,1),(93,1),(164,1),(175,1),(244,1),(328,1)}
       131:{2,3,4,5}:{(94,1),(166,1),(176,1),(177,1),(338,1),(345,1)}
       132:{3,4,6}:{(94,1),(95,1),(97,1),(178,1)}
       133:{2,4,7}:{(95,1),(96,1),(168,1),(178,1)}
       134:{2,3,5,6}:{(97,1),(99,1),(177,1),(179,1),(180,1),(339,1)}
       135:{3,5,7}:{(97,1),(98,1),(152,1),(178,1)}
       136:{1,4,5,6}:{(99,1),(179,1),(181,1),(265,1),(327,1)}
       137:{2,4,5,7}:{(99,1),(100,1),(153,1),(180,1),(181,1),(266,1),(273,1),(328,1)}
       138:{2,4,5,7}:{(101,1),(102,1),(116,1),(182,1),(183,1),(209,1),(368,1),(411,1)}
       139:{2,3,5,6}:{(101,1),(103,1),(183,1),(192,1),(274,1),(281,1)}
       140:{1,3,4,5,7}:{(102,1),(105,1),(108,1),(121,1),(182,1),(187,1),(188,1),(216,1),(282,1)}
       141:{1,4,6}:{(102,1),(103,1),(109,1),(183,1)}
       142:{1,3,5,6,7}:{(103,1),(107,1),(110,1),(123,1),(184,1),(189,1),(193,1),(282,1),(288,1),(365,1),(410,1)}
       143:{1,2,3,7}:{(124,1),(190,1),(380,1)}
       144:{1,3,4,7}:{(104,1),(125,1),(190,1),(191,1),(312,1),(380,1)}
       145:{2,3,5,7}:{(104,1),(105,1),(126,1),(187,1),(191,1),(192,1)}
       146:{1,3,6}:{(105,1),(106,1),(192,1)}
       147:{1,2,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(189,1),(193,1),(200,1),(286,1),(296,1),(299,1),(300,1),(379,1),(412,1),(421,1)}
       148:{2,4,5,6}:{(109,1),(185,1),(194,1),(195,1),(281,1)}
       149:{2,3,4,5,7}:{(108,1),(131,1),(187,1),(196,1),(197,1),(225,1),(292,1),(359,1),(405,1),(424,1)}
       150:{3,4,6}:{(108,1),(109,1),(194,1)}
       151:{2,4,6,7}:{(109,1),(110,1),(133,1),(189,1),(195,1),(198,1),(424,1)}
       152:{3,6,7}:{(111,1),(135,1)}
       153:{2,4,6,7}:{(112,1),(114,1),(137,1),(199,1),(200,1),(296,1)}
       154:{3,4,5,6}:{(194,1),(201,1),(202,1),(422,1)}
       155:{3,4,6,7}:{(113,1),(202,1),(203,1)}
       156:{2,3,5,6,7}:{(113,1),(114,1),(199,1),(203,1),(204,1),(292,1)}
       157:{1,5,6,7}:{(114,1),(200,1),(365,1)}
       158:{2,5,6}:{(115,1),(119,1),(206,1)}
       159:{2,4,6,7}:{(115,1),(118,1),(120,1),(206,1),(209,1),(378,1),(412,1)}
       160:{3,4,5}:{(116,1),(208,1)}
       161:{2,4,6}:{(116,1),(117,1),(122,1),(208,1),(209,1)}
       162:{2,3,5,7}:{(117,1),(118,1),(123,1),(206,1),(209,1),(302,1)}
       163:{1,4,5,6}:{(119,1),(122,1),(129,1),(205,1),(212,1)}
       164:{1,3,5,7}:{(119,1),(120,1),(130,1),(206,1),(212,1),(302,1),(365,1)}
       165:{1,2,3,5}:{(124,1),(213,1),(217,1),(310,1)}
       166:{2,4,5}:{(121,1),(126,1),(214,1),(215,1)}
       167:{1,3,4,6}:{(121,1),(122,1),(127,1),(132,1),(208,1),(215,1),(216,1),(372,1),(409,1),(422,1)}
       168:{1,4,7}:{(122,1),(123,1),(133,1),(209,1)}
       169:{1,2,4,6}:{(124,1),(125,1),(190,1),(213,1),(217,1),(287,1)}
       170:{1,3,5}:{(125,1),(126,1),(214,1),(217,1)}
       171:{2,3,5,6}:{(126,1),(127,1),(192,1),(215,1),(218,1),(219,1),(226,1),(281,1),(314,1),(375,1),(377,1)}
       172:{1,3,5,7}:{(127,1),(128,1),(135,1),(193,1),(216,1),(219,1),(302,1),(373,1),(380,1),(423,1)}
       173:{2,3,5,6,7}:{(130,1),(210,1),(220,1),(289,1),(362,1),(374,1)}
       174:{3,4,5,6}:{(129,1),(132,1),(194,1),(221,1)}
       175:{2,4,5,7}:{(129,1),(130,1),(133,1),(212,1),(220,1),(221,1)}
       176:{1,3,4,5}:{(131,1),(214,1),(223,1),(224,1),(310,1)}
       177:{2,3,4,6}:{(131,1),(132,1),(134,1),(215,1),(224,1),(225,1),(372,1),(377,1)}
       178:{3,4,7}:{(132,1),(133,1),(135,1)}
       179:{1,3,5,6}:{(134,1),(136,1),(224,1),(226,1),(227,1)}
       180:{2,3,5,7}:{(134,1),(135,1),(137,1),(199,1),(225,1),(227,1),(373,1)}
       181:{1,4,5,7}:{(136,1),(137,1),(200,1),(227,1),(312,1),(365,1)}
       182:{3,4,5,7}:{(138,1),(160,1),(230,1),(259,1),(319,1),(338,1),(397,1)}
       183:{2,4,6}:{(138,1),(139,1),(141,1),(230,1)}
       184:{2,3,5,6,7}:{(139,1),(142,1),(162,1),(231,1),(241,1),(253,1),(254,1),(319,1),(328,1),(341,1),(342,1),(396,1)}
       185:{1,4,5,6}:{(141,1),(148,1),(228,1),(233,1),(234,1),(327,1)}
       186:{1,2,3,5,7}:{(143,1),(165,1),(232,1),(235,1),(239,1),(326,1),(329,1)}
       187:{2,4,5,7}:{(140,1),(145,1),(166,1),(236,1),(237,1),(266,1),(328,1)}
       188:{1,3,4,6}:{(140,1),(141,1),(146,1),(150,1),(230,1),(233,1),(237,1)}
       189:{1,4,6,7}:{(141,1),(142,1),(151,1),(168,1),(231,1),(234,1),(420,1)}
       190:{1,2,4,7}:{(143,1),(144,1),(169,1),(239,1)}
       191:{1,3,5,7}:{(144,1),(145,1),(170,1),(236,1),(239,1),(240,1)}
       192:{2,3,6}:{(145,1),(146,1),(237,1),(240,1)}
       193:{1,3,6,7}:{(146,1),(147,1),(152,1),(172,1),(241,1),(341,1),(342,1),(425,1)}
       194:{3,5,6}:{(148,1),(150,1),(244,1)}
       195:{2,4,5,7}:{(148,1),(151,1),(234,1),(244,1),(328,1)}
       196:{1,3,4,5,7}:{(149,1),(176,1),(236,1),(246,1),(247,1),(272,1),(329,1),(335,1),(338,1),(391,1),(397,1),(420,1)}
       197:{2,3,4,6}:{(149,1),(150,1),(237,1),(243,1),(247,1),(388,1),(418,1)}
       198:{3,4,6,7}:{(150,1),(151,1),(152,1),(178,1),(244,1),(425,1),(426,1)}
       199:{2,3,6,7}:{(152,1),(153,1),(180,1),(249,1),(341,1)}
       200:{1,4,6,7}:{(153,1),(157,1),(181,1),(249,1)}
       201:{2,4,5,6}:{(154,1),(243,1),(250,1),(251,1),(418,1)}
       202:{3,4,5,7}:{(154,1),(155,1),(244,1),(251,1),(426,1)}
       203:{2,4,6,7}:{(155,1),(156,1),(251,1),(252,1)}
       204:{1,3,5,6,7}:{(156,1),(157,1),(249,1),(252,1),(253,1),(335,1),(341,1)}
       205:{2,4,5,6}:{(158,1),(161,1),(163,1),(255,1),(256,1)}
       206:{2,5,7}:{(158,1),(159,1),(164,1)}
       207:{2,3,4,5}:{(160,1),(166,1),(257,1),(258,1),(270,1),(414,1)}
       208:{3,4,6}:{(160,1),(161,1),(255,1),(259,1)}
       209:{2,4,7}:{(161,1),(162,1),(168,1),(259,1)}
       210:{1,3,5,6,7}:{(164,1),(173,1),(254,1),(260,1),(342,1),(390,1),(398,1)}
       211:{1,3,4,5,6}:{(163,1),(167,1),(174,1),(233,1),(255,1),(261,1),(262,1),(316,1),(343,1),(382,1),(415,1)}
       212:{1,4,5,7}:{(163,1),(164,1),(168,1),(175,1),(256,1),(260,1)}
       213:{1,2,4}:{(165,1),(263,1)}
       214:{1,4,5}:{(166,1),(170,1),(265,1)}
       215:{2,4,6}:{(166,1),(167,1),(171,1),(265,1),(266,1)}
       216:{1,3,4,7}:{(167,1),(168,1),(172,1),(178,1),(259,1),(266,1),(397,1),(420,1),(426,1)}
       217:{1,2,5}:{(169,1),(170,1)}
       218:{1,3,5,6}:{(170,1),(171,1),(240,1),(265,1),(267,1),(268,1),(327,1),(350,1)}
       219:{2,3,5,7}:{(171,1),(172,1),(241,1),(266,1),(268,1),(273,1),(328,1),(352,1),(399,1),(400,1)}
       220:{2,4,6,7}:{(173,1),(175,1),(260,1),(269,1)}
       221:{3,4,5,7}:{(174,1),(175,1),(178,1),(244,1),(269,1)}
       222:{2,3,4}:{(263,1),(270,1)}
       223:{2,4,5}:{(176,1),(270,1),(271,1)}
       224:{1,3,4,6}:{(176,1),(177,1),(179,1),(265,1),(271,1),(272,1),(350,1)}
       225:{2,3,4,7}:{(177,1),(178,1),(180,1),(266,1),(272,1),(397,1),(400,1)}
       226:{2,5,6}:{(179,1),(271,1),(273,1)}
       227:{1,3,5,7}:{(179,1),(180,1),(181,1),(249,1),(272,1),(273,1)}
       228:{2,4,5,6}:{(183,1),(185,1),(274,1),(275,1),(281,1)}
       229:{2,3,4,5,7}:{(182,1),(187,1),(207,1),(276,1),(277,1),(293,1),(306,1),(358,1),(368,1),(411,1)}
       230:{3,4,6}:{(182,1),(183,1),(274,1)}
       231:{2,4,6,7}:{(183,1),(184,1),(189,1),(209,1),(275,1),(278,1),(411,1)}
       232:{1,2,3,6}:{(186,1),(280,1),(287,1),(366,1)}
       233:{1,3,5,6}:{(185,1),(188,1),(194,1),(274,1),(281,1),(282,1)}
       234:{1,4,5,7}:{(185,1),(189,1),(195,1),(275,1),(282,1),(365,1)}
       235:{1,2,4,7}:{(186,1),(213,1),(280,1),(283,1)}
       236:{1,4,5,7}:{(187,1),(191,1),(214,1),(285,1),(312,1),(365,1)}
       237:{2,4,6}:{(187,1),(188,1),(192,1),(281,1),(285,1)}
       238:{1,3,4,6,7}:{(188,1),(189,1),(193,1),(198,1),(216,1),(278,1),(282,1),(286,1)}
       239:{1,2,5,7}:{(190,1),(191,1),(217,1),(287,1)}
       240:{1,3,6}:{(191,1),(192,1),(285,1),(287,1)}
       241:{2,3,6,7}:{(192,1),(193,1),(219,1),(286,1),(288,1),(296,1),(412,1)}
       242:{2,4,5,6,7}:{(195,1),(220,1),(279,1),(289,1),(362,1),(421,1)}
       243:{2,3,5,6}:{(194,1),(197,1),(201,1),(281,1),(291,1),(292,1)}
       244:{3,5,7}:{(194,1),(195,1),(198,1)}
       245:{2,3,4,7}:{(222,1),(283,1),(290,1),(293,1),(411,1)}
       246:{2,4,5,7}:{(196,1),(223,1),(293,1),(294,1),(315,1),(368,1),(370,1),(411,1)}
       247:{1,3,4,6}:{(196,1),(197,1),(285,1),(291,1),(294,1),(366,1),(372,1),(409,1)}
       248:{2,3,4,6,7}:{(197,1),(198,1),(199,1),(203,1),(225,1),(286,1),(292,1),(295,1),(408,1),(424,1)}
       249:{1,3,6,7}:{(199,1),(200,1),(227,1),(296,1)}
       250:{1,4,5,6}:{(201,1),(291,1),(297,1),(298,1),(409,1)}
       251:{2,4,5,7}:{(201,1),(202,1),(203,1),(292,1),(298,1),(424,1)}
       252:{1,4,6,7}:{(203,1),(204,1),(298,1),(299,1)}
       253:{2,5,6,7}:{(204,1),(296,1),(299,1),(370,1)}
       254:{2,5,6,7}:{(206,1),(210,1),(300,1),(412,1)}
       255:{3,5,6}:{(205,1),(208,1),(302,1)}
       256:{2,4,5,7}:{(205,1),(206,1),(209,1),(212,1),(300,1),(302,1)}
       257:{1,3,4,5}:{(207,1),(214,1),(304,1),(305,1),(310,1)}
       258:{2,3,4,6}:{(207,1),(208,1),(215,1),(301,1),(305,1),(306,1),(314,1),(422,1)}
       259:{3,4,7}:{(208,1),(209,1),(302,1)}
       260:{1,4,6,7}:{(210,1),(212,1),(220,1),(300,1)}
       261:{2,4,5,6}:{(211,1),(215,1),(281,1),(301,1),(308,1),(309,1),(375,1)}
       262:{1,3,4,5,7}:{(211,1),(212,1),(216,1),(221,1),(282,1),(302,1),(307,1),(309,1),(354,1),(376,1),(403,1),(423,1)}
       263:{1,3,4}:{(213,1),(222,1),(303,1),(310,1)}
       264:{1,2,4,5}:{(213,1),(214,1),(217,1),(223,1),(304,1),(310,1),(311,1)}
       265:{1,4,6}:{(214,1),(215,1),(218,1),(312,1)}
       266:{2,4,7}:{(215,1),(216,1),(219,1),(312,1)}
       267:{1,2,5,6}:{(217,1),(218,1),(226,1),(287,1),(311,1),(313,1),(375,1)}
       268:{1,3,5,7}:{(218,1),(219,1),(288,1),(312,1),(313,1),(365,1),(380,1)}
       269:{3,4,6,7}:{(220,1),(221,1),(289,1)}
       270:{2,3,5}:{(222,1),(223,1),(310,1),(314,1)}
       271:{2,4,6}:{(223,1),(224,1),(226,1),(314,1),(315,1)}
       272:{1,3,4,7}:{(224,1),(225,1),(227,1),(312,1),(315,1),(380,1)}
       273:{2,5,7}:{(226,1),(227,1),(296,1),(315,1)}
       274:{3,5,6}:{(228,1),(230,1),(319,1)}
       275:{2,4,5,7}:{(228,1),(231,1),(234,1),(319,1),(328,1)}
       276:{1,3,4,5,7}:{(229,1),(236,1),(257,1),(321,1),(322,1),(329,1),(347,1),(387,1),(391,1),(414,1),(420,1),(426,1)}
       277:{2,3,4,6}:{(229,1),(230,1),(237,1),(318,1),(322,1),(336,1),(395,1)}
       278:{3,4,6,7}:{(230,1),(231,1),(259,1),(319,1),(341,1),(342,1),(397,1)}
       279:{1,4,5,6,7}:{(234,1),(242,1),(260,1),(317,1),(324,1),(390,1),(413,1)}
       280:{1,2,4,6}:{(232,1),(235,1),(325,1),(326,1)}
       281:{2,5,6}:{(233,1),(237,1),(327,1),(328,1)}
       282:{1,3,5,7}:{(233,1),(234,1),(238,1),(244,1),(319,1),(328,1)}
       283:{1,3,4,7}:{(235,1),(245,1),(263,1),(320,1),(325,1),(329,1),(420,1)}
       284:{1,2,4,5,7}:{(235,1),(236,1),(239,1),(246,1),(264,1),(321,1),(326,1),(329,1),(330,1),(351,1),(391,1),(393,1),(420,1)}
       285:{1,4,6}:{(236,1),(237,1),(240,1),(327,1)}
       286:{2,4,6,7}:{(237,1),(238,1),(241,1),(266,1),(328,1),(331,1)}
       287:{1,2,6}:{(239,1),(240,1)}
       288:{1,3,6,7}:{(240,1),(241,1),(268,1),(331,1),(332,1)}
       289:{3,5,6,7}:{(242,1),(244,1),(269,1),(425,1)}
       290:{2,3,4,6}:{(245,1),(325,1),(333,1),(336,1),(395,1)}
       291:{1,3,5,6}:{(243,1),(247,1),(250,1),(327,1),(334,1),(335,1),(339,1)}
       292:{2,3,5,7}:{(243,1),(244,1),(248,1),(251,1),(328,1),(335,1)}
       293:{2,3,5,7}:{(245,1),(246,1),(270,1),(329,1),(333,1),(336,1),(352,1)}
       294:{2,4,6}:{(246,1),(247,1),(334,1),(336,1)}
       295:{1,3,4,6,7}:{(247,1),(248,1),(249,1),(252,1),(272,1),(331,1),(335,1),(337,1),(341,1),(394,1),(397,1),(420,1)}
       296:{2,6,7}:{(249,1),(273,1)}
       297:{2,4,5,6}:{(250,1),(334,1),(339,1),(340,1),(395,1)}
       298:{1,4,5,7}:{(250,1),(251,1),(252,1),(335,1),(340,1),(420,1)}
       299:{2,4,6,7}:{(252,1),(253,1),(340,1),(341,1)}
       300:{2,4,6,7}:{(254,1),(256,1),(260,1),(342,1)}
       301:{2,3,5,6}:{(255,1),(258,1),(261,1),(343,1),(344,1),(415,1)}
       302:{3,5,7}:{(255,1),(256,1),(259,1),(342,1)}
       303:{2,3,4}:{(263,1),(345,1)}
       304:{2,4,5}:{(257,1),(345,1),(346,1)}
       305:{1,3,4,6}:{(257,1),(258,1),(265,1),(343,1),(346,1),(347,1),(350,1)}
       306:{2,3,4,7}:{(258,1),(259,1),(266,1),(344,1),(347,1),(352,1),(426,1)}
       307:{1,3,4,6,7}:{(260,1),(262,1),(269,1),(324,1),(342,1),(348,1),(381,1),(398,1),(413,1),(425,1)}
       308:{1,4,5,6}:{(261,1),(265,1),(327,1),(343,1),(349,1)}
       309:{2,4,5,7}:{(261,1),(262,1),(266,1),(328,1),(344,1),(348,1),(349,1),(399,1)}
       310:{1,3,5}:{(263,1),(264,1),(270,1),(345,1),(350,1)}
       311:{1,2,4,6}:{(264,1),(265,1),(267,1),(271,1),(346,1),(350,1),(351,1)}
       312:{1,4,7}:{(265,1),(266,1),(268,1)}
       313:{1,2,5,7}:{(267,1),(268,1),(273,1),(332,1),(351,1),(399,1)}
       314:{2,3,6}:{(270,1),(271,1),(350,1),(352,1)}
       315:{2,4,7}:{(271,1),(272,1),(273,1),(352,1)}
       316:{3,4,5,6}:{(274,1),(353,1),(354,1),(372,1)}
       317:{2,4,5,6,7}:{(275,1),(279,1),(300,1),(355,1),(362,1),(401,1)}
       318:{2,3,5,6}:{(274,1),(277,1),(281,1),(353,1),(357,1),(358,1)}
       319:{3,5,7}:{(274,1),(275,1),(278,1)}
       320:{2,3,4,7}:{(283,1),(303,1),(356,1),(359,1),(424,1)}
       321:{2,4,5,7}:{(276,1),(304,1),(359,1),(360,1),(378,1),(405,1),(407,1),(424,1)}
       322:{1,3,4,6}:{(276,1),(277,1),(285,1),(357,1),(360,1),(366,1),(409,1),(422,1)}
       323:{2,3,4,6,7}:{(277,1),(278,1),(286,1),(306,1),(358,1),(361,1),(371,1),(374,1),(401,1),(411,1)}
       324:{1,3,5,6,7}:{(279,1),(282,1),(289,1),(307,1),(355,1),(362,1)}
       325:{1,3,4,6}:{(280,1),(283,1),(290,1),(356,1),(363,1),(366,1),(409,1)}
       326:{1,2,5}:{(280,1),(363,1)}
       327:{1,5,6}:{(281,1),(285,1),(365,1)}
       328:{2,5,7}:{(281,1),(282,1),(286,1),(365,1)}
       329:{1,3,5,7}:{(283,1),(284,1),(293,1),(310,1),(359,1),(363,1),(366,1),(380,1)}
       330:{1,2,4,6}:{(284,1),(285,1),(287,1),(294,1),(360,1),(364,1),(366,1),(409,1)}
       331:{1,4,6,7}:{(285,1),(286,1),(288,1),(312,1),(365,1)}
       332:{1,2,6,7}:{(287,1),(288,1),(296,1),(313,1),(412,1)}
       333:{2,3,5}:{(290,1),(363,1),(368,1)}
       334:{2,5,6}:{(291,1),(294,1),(370,1)}
       335:{1,3,5,7}:{(291,1),(292,1),(295,1),(298,1),(365,1),(370,1),(373,1)}
       336:{2,3,6}:{(293,1),(294,1),(366,1)}
       337:{2,4,6,7}:{(294,1),(295,1),(296,1),(315,1),(370,1),(371,1),(411,1)}
       338:{3,4,5}:{(368,1),(372,1)}
       339:{3,5,6}:{(297,1),(372,1),(373,1)}
       340:{2,4,5,7}:{(297,1),(298,1),(299,1),(370,1),(373,1),(411,1)}
       341:{3,6,7}:{(299,1),(373,1)}
       342:{3,6,7}:{(300,1),(302,1)}
       343:{1,3,5,6}:{(301,1),(305,1),(308,1),(375,1),(376,1)}
       344:{2,3,5,7}:{(301,1),(302,1),(306,1),(309,1),(374,1),(376,1),(423,1)}
       345:{2,3,5}:{(303,1),(304,1),(310,1),(377,1)}
       346:{2,4,6}:{(304,1),(305,1),(375,1),(377,1),(378,1)}
       347:{1,3,4,7}:{(305,1),(306,1),(312,1),(376,1),(378,1),(380,1)}
       348:{2,4,6,7}:{(307,1),(309,1),(362,1),(374,1),(379,1),(412,1)}
       349:{1,4,5,7}:{(308,1),(309,1),(312,1),(365,1),(376,1),(379,1)}
       350:{1,3,6}:{(310,1),(311,1),(314,1),(377,1),(380,1)}
       351:{1,2,4,7}:{(311,1),(312,1),(313,1),(315,1),(378,1),(380,1)}
       352:{2,3,7}:{(314,1),(315,1),(380,1)}
       353:{2,4,5,6}:{(316,1),(318,1),(382,1),(383,1),(395,1)}
       354:{3,4,5,7}:{(316,1),(319,1),(381,1),(383,1),(397,1)}
       355:{3,5,6,7}:{(317,1),(319,1),(342,1),(381,1)}
       356:{2,3,4,6}:{(320,1),(325,1),(385,1),(388,1),(418,1)}
       357:{1,3,5,6}:{(318,1),(322,1),(327,1),(382,1),(386,1),(387,1),(415,1)}
       358:{2,3,5,7}:{(318,1),(319,1),(323,1),(328,1),(383,1),(387,1)}
       359:{2,3,5,7}:{(320,1),(321,1),(329,1),(345,1),(385,1),(388,1),(400,1)}
       360:{2,4,6}:{(321,1),(322,1),(386,1),(388,1)}
       361:{1,3,4,6,7}:{(322,1),(323,1),(331,1),(347,1),(387,1),(389,1),(394,1),(398,1),(413,1),(420,1),(425,1),(426,1)}
       362:{2,5,6,7}:{(324,1),(328,1),(348,1),(390,1)}
       363:{1,3,5}:{(325,1),(326,1),(333,1),(385,1),(391,1)}
       364:{1,2,5,6}:{(326,1),(327,1),(330,1),(334,1),(386,1),(392,1),(393,1)}
       365:{1,5,7}:{(327,1),(328,1),(331,1)}
       366:{1,3,6}:{(329,1),(330,1),(336,1),(388,1)}
       367:{1,2,4,6,7}:{(330,1),(331,1),(332,1),(337,1),(351,1),(389,1),(393,1),(394,1),(420,1)}
       368:{2,4,5}:{(333,1),(338,1),(391,1),(395,1)}
       369:{2,3,5,6}:{(333,1),(334,1),(336,1),(339,1),(392,1),(395,1),(396,1)}
       370:{2,5,7}:{(334,1),(335,1),(337,1)}
       371:{2,3,6,7}:{(336,1),(337,1),(341,1),(352,1),(394,1),(396,1)}
       372:{3,4,6}:{(338,1),(339,1),(395,1),(397,1)}
       373:{3,5,7}:{(339,1),(340,1),(341,1),(397,1)}
       374:{2,3,6,7}:{(342,1),(344,1),(348,1),(398,1),(425,1)}
       375:{2,5,6}:{(343,1),(346,1),(399,1)}
       376:{1,3,5,7}:{(343,1),(344,1),(347,1),(349,1),(398,1),(399,1)}
       377:{2,3,6}:{(345,1),(346,1),(350,1),(400,1)}
       378:{2,4,7}:{(346,1),(347,1),(399,1),(400,1)}
       379:{1,4,6,7}:{(348,1),(349,1),(390,1),(398,1)}
       380:{1,3,7}:{(350,1),(351,1),(352,1),(400,1)}
       381:{3,4,6,7}:{(354,1),(355,1),(401,1)}
       382:{1,4,5,6}:{(353,1),(357,1),(402,1),(403,1),(409,1)}
       383:{2,4,5,7}:{(353,1),(354,1),(358,1),(401,1),(403,1),(411,1)}
       384:{2,3,5,6,7}:{(355,1),(358,1),(362,1),(374,1),(401,1),(404,1)}
       385:{2,3,5}:{(356,1),(363,1),(405,1)}
       386:{2,5,6}:{(357,1),(360,1),(407,1)}
       387:{1,3,5,7}:{(357,1),(358,1),(361,1),(365,1),(403,1),(407,1),(423,1)}
       388:{2,3,6}:{(359,1),(360,1),(366,1)}
       389:{2,4,6,7}:{(360,1),(361,1),(378,1),(407,1),(408,1),(412,1),(424,1)}
       390:{1,5,6,7}:{(362,1),(365,1),(379,1)}
       391:{1,4,5}:{(363,1),(368,1),(405,1),(409,1)}
       392:{1,3,5,6}:{(363,1),(364,1),(366,1),(369,1),(406,1),(409,1),(410,1)}
       393:{1,2,5,7}:{(364,1),(365,1),(367,1),(370,1),(407,1),(410,1)}
       394:{1,3,6,7}:{(366,1),(367,1),(371,1),(380,1),(408,1),(410,1)}
       395:{2,4,6}:{(368,1),(369,1),(372,1),(409,1),(411,1)}
       396:{2,3,5,7}:{(369,1),(370,1),(371,1),(373,1),(410,1),(411,1)}
       397:{3,4,7}:{(372,1),(373,1),(411,1)}
       398:{1,3,6,7}:{(374,1),(376,1),(379,1),(412,1)}
       399:{2,5,7}:{(375,1),(376,1),(378,1),(412,1)}
       400:{2,3,7}:{(377,1),(378,1),(380,1)}
       401:{2,4,6,7}:{(381,1),(383,1),(384,1),(413,1)}
       402:{2,4,5,6}:{(382,1),(386,1),(415,1),(416,1),(418,1)}
       403:{1,4,5,7}:{(382,1),(383,1),(387,1),(413,1),(416,1),(420,1)}
       404:{1,3,5,6,7}:{(384,1),(387,1),(390,1),(398,1),(413,1),(417,1),(425,1)}
       405:{2,4,5}:{(385,1),(391,1),(414,1),(418,1)}
       406:{2,3,5,6}:{(385,1),(386,1),(388,1),(392,1),(415,1),(418,1),(419,1)}
       407:{2,5,7}:{(386,1),(387,1),(389,1)}
       408:{2,3,6,7}:{(388,1),(389,1),(394,1),(400,1),(419,1),(425,1)}
       409:{1,4,6}:{(391,1),(392,1),(395,1),(418,1),(420,1)}
       410:{1,3,5,7}:{(392,1),(393,1),(394,1),(396,1),(419,1),(420,1)}
       411:{2,4,7}:{(395,1),(396,1),(397,1),(420,1)}
       412:{2,6,7}:{(398,1),(399,1)}
       413:{1,4,6,7}:{(401,1),(403,1),(404,1),(421,1)}
       414:{3,4,5}:{(405,1),(422,1)}
       415:{3,5,6}:{(402,1),(422,1),(423,1)}
       416:{2,4,5,7}:{(402,1),(403,1),(407,1),(421,1),(423,1),(424,1)}
       417:{2,5,6,7}:{(404,1),(407,1),(412,1),(421,1)}
       418:{2,4,6}:{(405,1),(406,1),(409,1),(422,1),(424,1)}
       419:{2,3,5,7}:{(406,1),(407,1),(408,1),(410,1),(423,1),(424,1)}
       420:{1,4,7}:{(409,1),(410,1),(411,1),(424,1)}
       421:{2,4,6,7}:{(413,1),(416,1),(417,1),(425,1)}
       422:{3,4,6}:{(414,1),(415,1),(418,1),(426,1)}
       423:{3,5,7}:{(415,1),(416,1),(425,1),(426,1)}
       424:{2,4,7}:{(418,1),(419,1),(420,1),(426,1)}
       425:{3,6,7}:{(421,1),(423,1)}
       426:{3,4,7}:{(422,1),(423,1),(424,1)}

2650 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(40,1),(41,1),(92,1),(165,1),(166,1),(236,1),(240,1),(272,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(7,1),(65,1),(129,1),(264,1),(266,1),(291,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(30,1),(64,1),(125,1),(137,1),(138,1),(140,1),(141,1),(265,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(152,1),(224,1)}
         4:{3,4,5,6}:{(13,1),(14,1),(164,1),(278,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(278,1),(280,1)}
         6:{2,3,4,6,7}:{(1,1),(15,1),(17,1),(38,1),(87,1),(92,1),(96,1),(165,1),(223,1),(226,1)}
         7:{1,3,4,6}:{(1,1),(2,1),(16,1),(18,1),(47,1),(103,1),(107,1),(285,1)}
         8:{2,4,5,7}:{(2,1),(18,1),(19,1),(51,1),(94,1),(108,1),(109,1),(161,1)}
         9:{1,4,5,6,7}:{(3,1),(20,1),(21,1),(60,1),(61,1),(117,1),(192,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(187,1),(254,1)}
        11:{1,3,4,5,6}:{(4,1),(24,1),(25,1),(29,1),(55,1),(68,1),(76,1),(113,1),(136,1),(181,1),(258,1)}
        12:{1,2,4,5,7}:{(8,1),(26,1),(27,1),(66,1),(71,1),(124,1),(131,1),(137,1),(138,1),(196,1),(203,1),(265,1),(297,1)}
        13:{3,4,5,7}:{(4,1),(22,1),(28,1),(201,1),(254,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(28,1),(29,1),(129,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(28,1),(30,1),(254,1),(257,1)}
        16:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(31,1),(76,1),(296,1)}
        17:{1,3,4,6,7}:{(6,1),(7,1),(30,1),(32,1),(61,1),(73,1),(119,1),(122,1),(125,1),(137,1),(140,1),(256,1)}
        18:{2,4,6}:{(7,1),(8,1),(31,1),(33,1)}
        19:{2,3,5,7}:{(8,1),(27,1),(33,1),(34,1),(80,1),(127,1),(199,1)}
        20:{2,4,5,6,7}:{(9,1),(35,1),(37,1),(85,1),(90,1),(158,1)}
        21:{1,3,5,6,7}:{(9,1),(10,1),(35,1),(36,1),(37,1),(227,1)}
        22:{3,4,6,7}:{(10,1),(13,1),(38,1)}
        23:{2,3,5,6,7}:{(10,1),(15,1),(37,1),(38,1),(39,1),(87,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(36,1),(43,1),(49,1),(81,1),(98,1),(106,1),(146,1),(172,1),(215,1),(227,1)}
        25:{2,4,5,6}:{(11,1),(42,1),(43,1),(44,1),(99,1),(171,1),(280,1)}
        26:{1,2,4,6}:{(12,1),(18,1),(45,1),(47,1),(97,1),(103,1),(237,1),(285,1),(306,1)}
        27:{1,3,5,7}:{(12,1),(19,1),(41,1),(47,1),(48,1),(105,1),(160,1),(232,1),(236,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(38,1),(49,1),(165,1)}
        29:{1,4,5,6}:{(14,1),(16,1),(49,1),(50,1),(103,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(17,1),(49,1),(51,1),(106,1),(279,1)}
        31:{2,5,6}:{(16,1),(18,1),(51,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(51,1),(53,1),(108,1),(154,1),(161,1)}
        33:{2,3,6}:{(18,1),(19,1),(47,1)}
        34:{2,3,4,7}:{(19,1),(48,1),(54,1),(108,1),(163,1)}
        35:{3,5,6,7}:{(20,1),(57,1),(122,1),(193,1)}
        36:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(57,1),(59,1),(61,1),(117,1),(119,1),(122,1),(187,1)}
        37:{2,5,6,7}:{(21,1),(59,1),(60,1),(257,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(28,1),(61,1)}
        39:{1,3,5,6,7}:{(23,1),(30,1),(60,1),(61,1),(62,1),(119,1),(122,1)}
        40:{2,3,4,5}:{(63,1),(64,1),(141,1),(195,1),(208,1),(247,1)}
        41:{2,3,5,7}:{(27,1),(65,1),(66,1),(131,1),(195,1),(259,1),(297,1)}
        42:{2,3,5,6}:{(25,1),(63,1),(67,1),(68,1),(76,1),(181,1)}
        43:{2,4,5,7}:{(24,1),(25,1),(59,1),(67,1),(69,1),(133,1),(207,1),(257,1)}
        44:{1,4,5,6}:{(25,1),(68,1),(69,1),(206,1),(296,1)}
        45:{1,2,5,6}:{(26,1),(31,1),(71,1),(72,1),(131,1),(204,1),(296,1)}
        46:{1,2,4,6,7}:{(26,1),(32,1),(71,1),(73,1),(130,1),(137,1),(189,1),(196,1),(256,1)}
        47:{1,3,6}:{(26,1),(27,1),(33,1),(65,1),(264,1)}
        48:{1,3,4,7}:{(27,1),(34,1),(66,1),(74,1),(137,1),(198,1),(201,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(30,1),(61,1),(75,1),(137,1)}
        50:{2,4,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1)}
        51:{2,5,7}:{(30,1),(31,1),(32,1)}
        52:{2,3,5,6}:{(31,1),(33,1),(72,1),(76,1),(77,1),(78,1),(80,1)}
        53:{2,3,6,7}:{(32,1),(33,1),(73,1),(77,1),(122,1),(199,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(74,1),(78,1),(80,1)}
        55:{3,4,5,6}:{(81,1),(82,1),(229,1),(299,1)}
        56:{2,3,4,5,7}:{(40,1),(83,1),(84,1),(92,1),(144,1),(176,1),(217,1),(240,1),(300,1),(301,1),(312,1)}
        57:{3,4,6,7}:{(35,1),(81,1),(85,1)}
        58:{2,3,5,6,7}:{(35,1),(37,1),(85,1),(86,1),(87,1),(144,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(43,1),(87,1),(88,1),(154,1)}
        60:{1,5,6,7}:{(37,1),(88,1),(279,1)}
        61:{1,4,6,7}:{(38,1),(39,1),(49,1),(90,1)}
        62:{2,5,6,7}:{(39,1),(51,1),(90,1),(154,1)}
        63:{2,3,4,6}:{(40,1),(42,1),(92,1),(93,1),(107,1),(171,1),(216,1),(230,1)}
        64:{1,3,4,5}:{(40,1),(93,1),(94,1),(160,1),(239,1)}
        65:{2,3,6}:{(41,1),(47,1),(97,1),(306,1)}
        66:{2,4,7}:{(41,1),(48,1),(97,1),(231,1)}
        67:{2,3,5,7}:{(42,1),(43,1),(87,1),(92,1),(98,1),(106,1),(215,1)}
        68:{1,3,5,6}:{(42,1),(44,1),(93,1),(98,1),(99,1)}
        69:{1,4,5,7}:{(43,1),(44,1),(88,1),(98,1),(238,1),(279,1)}
        70:{1,2,4,5,6}:{(44,1),(45,1),(50,1),(99,1),(100,1),(101,1),(103,1),(147,1),(159,1),(166,1),(171,1),(212,1),(228,1),(237,1),(239,1),(269,1),(280,1),(282,1),(285,1),(301,1),(306,1),(313,1)}
        71:{1,2,5,7}:{(45,1),(46,1),(51,1),(102,1),(167,1),(279,1)}
        72:{1,3,5,6}:{(45,1),(47,1),(52,1),(95,1),(102,1),(103,1),(105,1)}
        73:{1,3,6,7}:{(46,1),(47,1),(53,1),(96,1),(102,1),(232,1)}
        74:{1,3,4,6}:{(47,1),(48,1),(54,1),(97,1),(103,1),(105,1),(164,1)}
        75:{2,4,5,7}:{(49,1),(50,1),(51,1),(90,1),(106,1),(108,1)}
        76:{3,5,6}:{(50,1),(106,1),(107,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(53,1),(102,1),(106,1),(108,1)}
        78:{2,4,6}:{(52,1),(103,1),(107,1),(108,1),(109,1)}
        79:{2,3,4,6,7}:{(53,1),(54,1),(104,1),(108,1),(110,1),(157,1),(177,1),(226,1),(234,1),(284,1)}
        80:{2,3,5}:{(54,1),(105,1),(109,1)}
        81:{3,4,5,7}:{(55,1),(57,1),(112,1),(193,1),(307,1)}
        82:{2,4,5,6}:{(55,1),(111,1),(112,1),(113,1),(287,1)}
        83:{2,3,4,6}:{(56,1),(111,1),(115,1),(211,1),(248,1),(266,1),(287,1),(314,1)}
        84:{1,3,4,5,7}:{(56,1),(64,1),(115,1),(116,1),(125,1),(178,1),(183,1),(246,1),(247,1),(265,1),(288,1),(289,1)}
        85:{2,4,6,7}:{(57,1),(58,1),(112,1),(117,1)}
        86:{1,3,5,6,7}:{(58,1),(60,1),(117,1),(118,1),(119,1),(178,1),(187,1)}
        87:{2,3,6,7}:{(59,1),(67,1),(119,1),(122,1),(187,1)}
        88:{1,4,6,7}:{(59,1),(60,1),(69,1),(119,1)}
        89:{1,2,5,6,7}:{(60,1),(62,1),(71,1),(118,1),(120,1),(121,1),(189,1),(204,1),(242,1),(257,1),(296,1),(311,1)}
        90:{2,4,6,7}:{(61,1),(62,1),(75,1),(122,1)}
        91:{2,3,5,6,7}:{(62,1),(77,1),(121,1),(122,1),(123,1),(143,1),(190,1),(193,1),(257,1),(286,1),(311,1),(314,1)}
        92:{2,3,4,7}:{(63,1),(67,1),(125,1),(140,1),(207,1),(246,1),(259,1)}
        93:{1,3,4,6}:{(63,1),(64,1),(68,1),(125,1),(126,1),(197,1),(206,1)}
        94:{2,4,5}:{(64,1),(126,1),(127,1)}
        95:{2,3,5,6}:{(65,1),(72,1),(128,1),(129,1),(131,1),(202,1),(204,1),(264,1)}
        96:{2,3,6,7}:{(65,1),(73,1),(128,1),(130,1),(259,1),(264,1)}
        97:{2,4,6}:{(65,1),(66,1),(74,1),(131,1)}
        98:{1,3,5,7}:{(67,1),(68,1),(69,1),(119,1),(125,1),(133,1)}
        99:{2,5,6}:{(68,1),(126,1),(133,1)}
       100:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(75,1),(120,1),(133,1),(135,1),(137,1),(180,1),(192,1),(196,1),(203,1),(207,1),(242,1),(257,1),(265,1),(288,1),(297,1),(309,1)}
       101:{1,3,5,6}:{(70,1),(76,1),(134,1),(135,1),(136,1),(181,1),(197,1),(202,1),(262,1),(264,1),(298,1),(308,1),(314,1)}
       102:{1,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(128,1),(137,1)}
       103:{1,4,6}:{(72,1),(78,1),(129,1),(137,1),(138,1)}
       104:{1,3,4,6,7}:{(73,1),(74,1),(79,1),(130,1),(137,1),(139,1),(201,1),(210,1),(256,1),(261,1),(264,1),(298,1)}
       105:{1,3,5}:{(74,1),(80,1),(131,1),(138,1),(202,1)}
       106:{3,5,7}:{(75,1),(76,1),(122,1),(140,1)}
       107:{3,4,6}:{(76,1),(78,1),(140,1),(141,1)}
       108:{2,4,7}:{(77,1),(78,1),(137,1),(140,1)}
       109:{2,4,5}:{(78,1),(80,1),(138,1),(141,1)}
       110:{2,3,5,7}:{(79,1),(80,1),(139,1),(142,1),(143,1),(193,1),(257,1)}
       111:{2,3,5,6}:{(82,1),(83,1),(144,1),(145,1),(229,1),(280,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(85,1),(144,1),(146,1),(300,1)}
       113:{1,4,5,6}:{(82,1),(145,1),(146,1),(147,1),(269,1)}
       114:{2,3,4,6,7}:{(83,1),(85,1),(87,1),(92,1),(144,1),(149,1),(157,1),(226,1),(273,1),(300,1)}
       115:{1,3,4,6}:{(83,1),(84,1),(145,1),(150,1),(216,1),(219,1),(269,1),(285,1)}
       116:{2,4,5,7}:{(84,1),(94,1),(150,1),(151,1),(161,1),(213,1),(270,1),(271,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(146,1),(152,1)}
       118:{2,5,6,7}:{(86,1),(152,1),(154,1),(213,1)}
       119:{1,3,6,7}:{(87,1),(88,1),(98,1),(154,1)}
       120:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(100,1),(152,1),(154,1),(155,1),(156,1),(226,1),(237,1),(285,1),(306,1),(313,1)}
       121:{1,3,5,6,7}:{(89,1),(91,1),(102,1),(153,1),(155,1),(156,1),(175,1),(225,1),(227,1),(268,1),(279,1),(305,1)}
       122:{3,6,7}:{(90,1),(106,1)}
       123:{2,4,6,7}:{(91,1),(108,1),(156,1),(157,1),(158,1),(177,1),(300,1),(313,1)}
       124:{1,2,4,5}:{(94,1),(159,1),(160,1),(231,1),(239,1),(282,1)}
       125:{1,3,4,7}:{(92,1),(93,1),(98,1),(161,1),(232,1),(238,1)}
       126:{2,4,6}:{(93,1),(94,1),(99,1),(161,1),(162,1)}
       127:{2,3,5}:{(94,1),(160,1),(162,1),(163,1)}
       128:{2,3,5,7}:{(95,1),(96,1),(102,1),(165,1),(167,1),(236,1)}
       129:{2,4,6}:{(95,1),(103,1),(164,1),(165,1),(166,1)}
       130:{2,4,6,7}:{(96,1),(97,1),(104,1),(165,1),(167,1),(237,1),(281,1),(306,1)}
       131:{2,5}:{(97,1),(105,1)}
       132:{1,2,5,6}:{(99,1),(159,1),(168,1),(169,1),(282,1),(306,1)}
       133:{2,5,7}:{(98,1),(99,1),(154,1),(161,1)}
       134:{2,3,5,6}:{(99,1),(101,1),(162,1),(169,1),(170,1),(171,1),(230,1),(235,1),(280,1),(282,1),(284,1),(306,1)}
       135:{1,3,5,7}:{(100,1),(101,1),(106,1),(155,1),(170,1),(172,1),(215,1),(232,1),(236,1),(312,1)}
       136:{1,3,4,6}:{(101,1),(103,1),(107,1),(164,1),(171,1),(172,1),(173,1),(216,1),(269,1),(299,1)}
       137:{1,4,7}:{(102,1),(103,1),(108,1),(165,1)}
       138:{1,4,5}:{(103,1),(105,1),(109,1),(166,1)}
       139:{1,3,5,7}:{(104,1),(105,1),(110,1),(167,1),(174,1),(175,1),(236,1),(279,1)}
       140:{3,4,7}:{(106,1),(107,1),(108,1)}
       141:{3,4,5}:{(107,1),(109,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(110,1),(174,1),(176,1),(177,1)}
       143:{2,3,5,6}:{(110,1),(175,1),(177,1),(229,1),(280,1),(284,1)}
       144:{2,3,5,7}:{(111,1),(112,1),(114,1),(178,1),(193,1),(257,1)}
       145:{1,3,5,6}:{(111,1),(113,1),(115,1),(178,1),(179,1),(181,1),(296,1)}
       146:{1,4,5,7}:{(112,1),(113,1),(117,1),(178,1),(180,1),(288,1)}
       147:{2,4,5,6}:{(113,1),(179,1),(180,1),(181,1),(245,1)}
       148:{1,2,4,5,7}:{(116,1),(124,1),(182,1),(183,1),(196,1),(242,1),(249,1),(265,1),(288,1),(289,1),(293,1),(297,1),(309,1)}
       149:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(119,1),(125,1),(178,1),(184,1),(187,1),(246,1),(250,1),(256,1),(288,1)}
       150:{2,4,6}:{(115,1),(116,1),(179,1),(185,1)}
       151:{2,3,5,7}:{(116,1),(127,1),(183,1),(185,1),(186,1),(199,1),(253,1)}
       152:{2,4,6,7}:{(117,1),(118,1),(180,1),(187,1)}
       153:{2,3,5,6,7}:{(118,1),(121,1),(128,1),(187,1),(188,1),(190,1),(204,1),(244,1),(254,1),(257,1),(264,1),(295,1)}
       154:{2,6,7}:{(119,1),(133,1)}
       155:{1,3,6,7}:{(120,1),(122,1),(135,1),(187,1),(190,1),(264,1),(298,1),(314,1)}
       156:{1,4,6,7}:{(121,1),(123,1),(137,1),(188,1),(192,1),(210,1),(288,1),(310,1)}
       157:{3,4,6,7}:{(122,1),(123,1),(140,1),(193,1),(211,1),(307,1),(314,1)}
       158:{2,4,5,7}:{(123,1),(192,1),(193,1),(194,1),(257,1)}
       159:{1,2,4,6}:{(124,1),(126,1),(132,1),(196,1),(197,1),(206,1),(260,1)}
       160:{1,3,5}:{(124,1),(127,1),(195,1),(197,1),(198,1)}
       161:{2,4,7}:{(125,1),(126,1),(133,1),(199,1)}
       162:{2,3,6}:{(126,1),(127,1),(197,1),(199,1)}
       163:{2,3,4}:{(127,1),(198,1)}
       164:{3,4,6}:{(129,1),(201,1),(202,1),(264,1)}
       165:{2,4,7}:{(128,1),(129,1),(137,1),(201,1)}
       166:{2,4,5}:{(129,1),(131,1),(138,1),(202,1)}
       167:{2,5,7}:{(130,1),(131,1),(139,1),(204,1)}
       168:{1,2,5,7}:{(132,1),(133,1),(189,1),(196,1),(205,1),(297,1)}
       169:{1,3,5,6}:{(132,1),(134,1),(197,1),(205,1),(206,1),(262,1),(296,1),(298,1)}
       170:{2,3,5,7}:{(133,1),(134,1),(135,1),(190,1),(199,1),(205,1),(207,1),(257,1),(259,1),(297,1)}
       171:{2,4,6}:{(134,1),(136,1),(206,1),(207,1),(208,1)}
       172:{1,3,4,7}:{(135,1),(136,1),(137,1),(140,1),(201,1),(207,1),(246,1),(288,1),(307,1)}
       173:{1,3,4,5}:{(136,1),(138,1),(141,1),(202,1),(208,1),(247,1),(262,1),(289,1),(308,1)}
       174:{1,4,5,7}:{(137,1),(138,1),(139,1),(142,1),(203,1),(210,1)}
       175:{1,3,5,6}:{(139,1),(143,1),(204,1),(210,1),(264,1),(296,1),(298,1)}
       176:{3,4,5,7}:{(140,1),(141,1),(142,1),(193,1),(211,1)}
       177:{2,4,6}:{(142,1),(143,1),(210,1),(211,1)}
       178:{1,3,5,7}:{(144,1),(145,1),(146,1),(149,1),(213,1),(215,1),(279,1)}
       179:{2,5,6}:{(145,1),(150,1),(213,1)}
       180:{2,4,5,7}:{(146,1),(147,1),(152,1),(213,1),(215,1),(270,1)}
       181:{3,5,6}:{(147,1),(215,1),(216,1)}
       182:{1,2,4,6}:{(148,1),(150,1),(212,1),(219,1),(269,1),(274,1),(285,1),(306,1),(313,1)}
       183:{1,3,5,7}:{(148,1),(151,1),(160,1),(217,1),(219,1),(220,1),(232,1),(276,1),(312,1)}
       184:{2,4,6,7}:{(149,1),(150,1),(154,1),(161,1),(213,1),(221,1),(270,1)}
       185:{2,3,6}:{(150,1),(151,1),(219,1)}
       186:{2,3,4,7}:{(151,1),(163,1),(220,1),(222,1),(270,1)}
       187:{3,6,7}:{(152,1),(215,1)}
       188:{2,4,6,7}:{(153,1),(156,1),(165,1),(223,1),(224,1),(237,1),(270,1),(303,1)}
       189:{1,2,6,7}:{(154,1),(168,1),(225,1),(306,1)}
       190:{2,3,6,7}:{(154,1),(155,1),(170,1),(225,1),(226,1),(284,1),(306,1)}
       191:{1,3,4,6,7}:{(155,1),(156,1),(157,1),(172,1),(223,1),(226,1),(227,1),(241,1)}
       192:{1,4,5,7}:{(156,1),(158,1),(224,1),(227,1),(228,1),(279,1)}
       193:{3,5,7}:{(157,1),(158,1),(229,1)}
       194:{2,4,5,6}:{(158,1),(177,1),(228,1),(229,1),(280,1),(313,1)}
       195:{2,3,5}:{(160,1),(230,1),(231,1),(282,1)}
       196:{1,2,4,7}:{(159,1),(161,1),(168,1),(232,1),(238,1),(281,1)}
       197:{1,3,6}:{(159,1),(160,1),(162,1),(230,1),(232,1)}
       198:{1,3,4}:{(160,1),(163,1),(231,1)}
       199:{2,3,7}:{(161,1),(162,1),(232,1)}
       200:{2,3,4,6}:{(162,1),(163,1),(164,1),(171,1),(233,1),(234,1),(235,1),(284,1),(299,1)}
       201:{3,4,7}:{(164,1),(165,1),(236,1)}
       202:{3,5}:{(164,1),(166,1)}
       203:{2,4,5,7}:{(165,1),(166,1),(167,1),(174,1),(236,1),(237,1)}
       204:{2,5,6}:{(167,1),(175,1),(237,1),(306,1)}
       205:{1,3,5,7}:{(168,1),(169,1),(170,1),(225,1),(232,1),(238,1),(279,1)}
       206:{1,4,6}:{(169,1),(171,1),(238,1),(239,1)}
       207:{2,4,7}:{(170,1),(171,1),(172,1),(238,1)}
       208:{2,4,5}:{(171,1),(173,1),(235,1),(239,1),(282,1)}
       209:{1,3,4,5,7}:{(172,1),(173,1),(174,1),(176,1),(227,1),(236,1),(240,1),(241,1),(272,1),(283,1),(302,1),(312,1)}
       210:{1,4,6}:{(174,1),(175,1),(177,1),(237,1)}
       211:{3,4,6}:{(176,1),(177,1),(229,1)}
       212:{1,2,5,6}:{(179,1),(182,1),(242,1),(243,1),(293,1),(296,1),(311,1)}
       213:{2,5,7}:{(178,1),(179,1),(184,1)}
       214:{2,3,5,6}:{(179,1),(181,1),(185,1),(243,1),(244,1),(245,1),(253,1)}
       215:{3,5,7}:{(180,1),(181,1),(187,1),(246,1)}
       216:{3,4,6}:{(181,1),(245,1),(246,1),(247,1)}
       217:{2,3,5,7}:{(183,1),(195,1),(248,1),(249,1),(259,1),(293,1),(297,1)}
       218:{1,2,4,6,7}:{(182,1),(184,1),(189,1),(196,1),(242,1),(250,1),(256,1),(288,1),(292,1)}
       219:{1,3,6}:{(182,1),(183,1),(185,1),(248,1),(314,1)}
       220:{1,3,4,7}:{(183,1),(186,1),(198,1),(249,1),(251,1),(288,1),(307,1)}
       221:{2,3,6,7}:{(184,1),(185,1),(187,1),(199,1),(244,1),(250,1)}
       222:{2,3,4,6}:{(185,1),(186,1),(245,1),(251,1),(253,1)}
       223:{3,4,6,7}:{(187,1),(188,1),(201,1),(246,1),(254,1),(264,1),(291,1)}
       224:{2,4,5,7}:{(188,1),(192,1),(254,1),(255,1),(257,1)}
       225:{1,3,6,7}:{(189,1),(190,1),(205,1),(256,1),(298,1)}
       226:{2,4,6,7}:{(190,1),(191,1),(207,1),(256,1),(257,1),(266,1)}
       227:{1,3,5,7}:{(191,1),(192,1),(193,1),(254,1),(257,1),(258,1)}
       228:{1,4,5,6}:{(192,1),(194,1),(210,1),(255,1),(258,1),(296,1),(310,1)}
       229:{3,5,6}:{(193,1),(194,1),(211,1),(314,1)}
       230:{2,3,6}:{(195,1),(197,1),(259,1),(260,1)}
       231:{2,4}:{(195,1),(198,1)}
       232:{1,3,7}:{(196,1),(197,1),(199,1),(259,1)}
       233:{1,3,4,6}:{(197,1),(198,1),(200,1),(206,1),(260,1),(261,1),(262,1),(298,1)}
       234:{2,3,4,7}:{(199,1),(200,1),(201,1),(207,1),(261,1),(263,1),(307,1)}
       235:{2,3,5}:{(200,1),(202,1),(208,1),(262,1),(308,1)}
       236:{3,5,7}:{(201,1),(202,1),(203,1),(264,1)}
       237:{2,4,6}:{(203,1),(204,1),(210,1),(264,1)}
       238:{1,4,7}:{(205,1),(206,1),(207,1)}
       239:{1,4,5}:{(206,1),(208,1),(262,1)}
       240:{2,4,5,7}:{(207,1),(208,1),(209,1),(257,1),(263,1),(265,1),(266,1),(297,1)}
       241:{1,3,4,6}:{(209,1),(210,1),(211,1),(258,1),(264,1),(266,1),(291,1),(298,1),(310,1),(314,1)}
       242:{1,2,5,7}:{(212,1),(213,1),(218,1),(268,1),(279,1),(304,1)}
       243:{1,3,5,6}:{(212,1),(214,1),(219,1),(267,1),(268,1),(269,1),(276,1)}
       244:{2,3,5,7}:{(213,1),(214,1),(215,1),(221,1),(268,1),(270,1)}
       245:{2,4,6}:{(214,1),(216,1),(269,1),(270,1),(271,1)}
       246:{3,4,7}:{(215,1),(216,1),(270,1)}
       247:{3,4,5}:{(216,1),(271,1)}
       248:{2,3,6}:{(217,1),(219,1),(274,1),(306,1)}
       249:{2,4,7}:{(217,1),(220,1),(231,1),(274,1)}
       250:{1,3,6,7}:{(218,1),(219,1),(221,1),(232,1),(268,1),(273,1)}
       251:{1,3,4,6}:{(219,1),(220,1),(222,1),(269,1),(274,1),(276,1),(299,1)}
       252:{2,3,4,6,7}:{(221,1),(222,1),(223,1),(226,1),(234,1),(270,1),(275,1),(277,1),(284,1),(303,1)}
       253:{2,3,5}:{(222,1),(271,1),(276,1)}
       254:{3,5,7}:{(223,1),(224,1),(278,1)}
       255:{2,4,5,6}:{(224,1),(228,1),(237,1),(278,1),(280,1),(303,1)}
       256:{1,4,6,7}:{(225,1),(226,1),(238,1),(279,1),(285,1)}
       257:{2,5,7}:{(226,1),(227,1),(279,1),(280,1)}
       258:{1,3,5,6}:{(227,1),(228,1),(229,1),(241,1),(278,1),(280,1)}
       259:{2,3,7}:{(230,1),(232,1),(281,1)}
       260:{2,4,6}:{(230,1),(231,1),(233,1),(281,1),(282,1),(306,1)}
       261:{1,3,4,7}:{(232,1),(233,1),(234,1),(238,1),(281,1),(283,1)}
       262:{1,3,5}:{(233,1),(235,1),(239,1),(282,1)}
       263:{2,3,5,7}:{(234,1),(235,1),(236,1),(240,1),(283,1),(284,1),(312,1)}
       264:{3,6}:{(236,1),(237,1)}
       265:{1,4,5,7}:{(238,1),(239,1),(240,1),(279,1),(283,1),(285,1)}
       266:{2,4,6}:{(240,1),(241,1),(280,1),(284,1),(285,1),(306,1)}
       267:{2,3,5,6}:{(243,1),(248,1),(286,1),(287,1),(293,1),(308,1),(311,1),(314,1)}
       268:{1,3,5,7}:{(242,1),(243,1),(244,1),(250,1),(286,1),(288,1)}
       269:{1,4,6}:{(243,1),(245,1),(287,1),(288,1),(289,1)}
       270:{2,4,7}:{(244,1),(245,1),(246,1),(288,1)}
       271:{2,4,5}:{(245,1),(247,1),(253,1),(289,1)}
       272:{3,4,5,7}:{(246,1),(247,1),(254,1),(290,1),(291,1)}
       273:{2,3,6,7}:{(248,1),(250,1),(259,1),(286,1),(292,1),(314,1)}
       274:{2,4,6}:{(248,1),(249,1),(251,1),(293,1)}
       275:{1,3,4,6,7}:{(250,1),(251,1),(252,1),(256,1),(261,1),(288,1),(292,1),(294,1),(298,1),(307,1),(310,1),(314,1)}
       276:{1,3,5}:{(251,1),(253,1),(289,1),(293,1),(308,1)}
       277:{2,3,5,7}:{(252,1),(253,1),(254,1),(257,1),(290,1),(294,1),(295,1)}
       278:{3,5,6}:{(254,1),(255,1),(264,1),(291,1)}
       279:{1,5,7}:{(256,1),(257,1),(296,1)}
       280:{2,5,6}:{(257,1),(258,1),(266,1),(296,1)}
       281:{2,4,7}:{(259,1),(260,1),(261,1),(297,1)}
       282:{2,5}:{(260,1),(262,1)}
       283:{1,3,5,7}:{(261,1),(262,1),(263,1),(265,1),(297,1),(298,1)}
       284:{2,3,6}:{(263,1),(264,1),(266,1),(298,1),(314,1)}
       285:{1,4,6}:{(265,1),(266,1),(296,1),(298,1)}
       286:{2,3,5,7}:{(267,1),(268,1),(273,1),(300,1),(304,1),(312,1)}
       287:{2,4,6}:{(267,1),(269,1),(299,1),(300,1),(301,1)}
       288:{1,4,7}:{(268,1),(269,1),(270,1),(300,1)}
       289:{1,4,5}:{(269,1),(271,1),(276,1),(301,1)}
       290:{2,4,5,7}:{(270,1),(271,1),(272,1),(277,1),(302,1),(303,1)}
       291:{3,4,6}:{(272,1),(278,1),(303,1)}
       292:{2,4,6,7}:{(273,1),(274,1),(275,1),(281,1),(300,1),(304,1),(306,1),(313,1)}
       293:{2,5}:{(274,1),(276,1)}
       294:{1,3,5,7}:{(275,1),(276,1),(277,1),(279,1),(302,1),(304,1),(305,1),(312,1)}
       295:{2,3,5,6}:{(277,1),(278,1),(280,1),(284,1),(303,1),(305,1)}
       296:{1,5,6}:{(279,1),(280,1),(285,1)}
       297:{2,5,7}:{(281,1),(282,1),(283,1),(306,1)}
       298:{1,3,6}:{(283,1),(284,1),(285,1),(306,1)}
       299:{3,4,6}:{(287,1),(307,1),(308,1),(314,1)}
       300:{2,4,7}:{(286,1),(287,1),(288,1),(307,1)}
       301:{2,4,5}:{(287,1),(289,1),(293,1),(308,1)}
       302:{1,4,5,7}:{(288,1),(289,1),(290,1),(294,1),(309,1),(310,1)}
       303:{2,4,6}:{(290,1),(291,1),(295,1),(310,1)}
       304:{2,5,7}:{(292,1),(293,1),(294,1),(311,1)}
       305:{1,3,5,6}:{(294,1),(295,1),(296,1),(298,1),(310,1),(311,1),(314,1)}
       306:{2,6}:{(297,1),(298,1)}
       307:{3,4,7}:{(299,1),(300,1),(312,1)}
       308:{3,5}:{(299,1),(301,1)}
       309:{2,4,5,7}:{(300,1),(301,1),(302,1),(304,1),(312,1),(313,1)}
       310:{1,4,6}:{(302,1),(303,1),(305,1),(313,1)}
       311:{2,5,6}:{(304,1),(305,1),(306,1),(313,1)}
       312:{3,5,7}:{(307,1),(308,1),(309,1),(314,1)}
       313:{2,4,6}:{(309,1),(310,1),(311,1),(314,1)}
       314:{3,6}:{(312,1),(313,1)}

2651 :   0:{1,2,5,6,7}:{(3,1),(4,1),(49,1),(51,1),(92,1),(93,1),(97,1),(122,1)}
         1:{2,3,5,6,7}:{(3,1),(5,1),(19,1),(21,1),(49,1),(54,1),(122,1),(123,1),(154,1)}
         2:{1,2,4,5,6}:{(7,1),(8,1),(28,1),(30,1),(68,1),(70,1),(104,1),(108,1),(110,1),(114,1),(116,1),(139,1),(146,1),(151,1),(153,1),(166,1),(174,1)}
         3:{1,3,5,6,7}:{(0,1),(1,1),(6,1),(9,1),(10,1),(31,1),(33,1),(71,1),(75,1),(101,1),(115,1)}
         4:{1,2,4,6,7}:{(0,1),(7,1),(9,1),(10,1),(32,1),(110,1),(116,1),(139,1),(146,1)}
         5:{2,4,6,7}:{(1,1),(9,1),(11,1),(12,1),(73,1),(139,1),(142,1)}
         6:{2,3,5,6,7}:{(3,1),(13,1),(19,1),(39,1),(49,1),(80,1),(97,1),(98,1),(136,1)}
         7:{1,2,4,5,7}:{(2,1),(4,1),(14,1),(17,1),(43,1),(49,1),(88,1),(93,1),(96,1),(121,1),(124,1),(128,1),(135,1)}
         8:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(85,1),(126,1),(127,1),(136,1),(154,1),(164,1),(171,1)}
         9:{1,4,6,7}:{(3,1),(5,1),(13,1),(17,1),(95,1),(120,1),(135,1)}
        10:{1,3,6,7}:{(4,1),(14,1),(19,1),(127,1),(136,1),(154,1)}
        11:{2,4,5,7}:{(5,1),(17,1),(20,1),(21,1),(49,1)}
        12:{3,4,6,7}:{(5,1),(21,1),(52,1),(154,1),(155,1)}
        13:{2,4,6,7}:{(6,1),(9,1),(23,1),(24,1),(99,1),(116,1),(119,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(10,1),(25,1),(26,1),(117,1),(140,1),(144,1)}
        15:{1,3,4,6}:{(8,1),(25,1),(27,1),(28,1),(151,1),(152,1),(165,1)}
        16:{2,3,5,6}:{(8,1),(26,1),(28,1),(29,1),(62,1),(70,1),(105,1),(108,1),(109,1),(146,1)}
        17:{1,4,5,7}:{(9,1),(11,1),(23,1),(30,1),(31,1),(71,1)}
        18:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(24,1),(25,1),(31,1),(32,1),(64,1)}
        19:{2,3,6,7}:{(10,1),(26,1),(32,1),(33,1),(105,1),(146,1)}
        20:{2,4,5,6}:{(11,1),(30,1),(35,1),(70,1),(73,1),(139,1),(166,1)}
        21:{3,5,7}:{(11,1),(12,1),(35,1)}
        22:{2,3,4,6,7}:{(12,1),(32,1),(36,1),(37,1),(61,1),(73,1),(103,1),(105,1),(142,1),(165,1),(169,1)}
        23:{2,4,5,7}:{(13,1),(17,1),(38,1),(39,1),(49,1)}
        24:{3,4,6,7}:{(13,1),(39,1),(78,1),(136,1),(137,1)}
        25:{1,3,4,7}:{(14,1),(15,1),(43,1),(135,1),(137,1),(155,1)}
        26:{2,3,5,7}:{(14,1),(16,1),(19,1),(43,1),(44,1),(49,1),(128,1),(129,1)}
        27:{1,3,4,5}:{(15,1),(45,1),(85,1),(133,1),(163,1),(164,1),(171,1)}
        28:{2,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1)}
        29:{1,3,5,6}:{(16,1),(44,1),(46,1),(47,1),(85,1),(91,1),(92,1),(127,1)}
        30:{1,4,5,6}:{(17,1),(20,1),(38,1),(48,1),(92,1),(95,1),(120,1),(163,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(21,1),(39,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(43,1),(49,1),(50,1),(87,1)}
        33:{1,3,6,7}:{(19,1),(44,1),(50,1),(51,1),(127,1)}
        34:{3,4,5,7}:{(21,1),(52,1),(53,1),(155,1),(171,1)}
        35:{3,5,6}:{(20,1),(21,1),(52,1),(154,1),(171,1)}
        36:{2,3,5,7}:{(21,1),(22,1),(49,1),(53,1),(54,1),(55,1),(171,1),(173,1)}
        37:{1,3,4,6,7}:{(22,1),(50,1),(55,1),(56,1),(84,1),(94,1),(95,1),(127,1),(135,1),(136,1),(137,1),(162,1),(172,1)}
        38:{2,4,5,6}:{(23,1),(30,1),(58,1),(70,1),(99,1),(116,1),(153,1)}
        39:{3,5,7}:{(23,1),(24,1),(58,1)}
        40:{2,3,4,6,7}:{(24,1),(32,1),(59,1),(60,1),(61,1),(77,1),(99,1),(105,1),(119,1),(152,1),(169,1)}
        41:{2,3,4,6}:{(28,1),(61,1),(62,1),(63,1),(105,1),(109,1),(148,1),(152,1),(165,1),(169,1)}
        42:{1,3,4,5,7}:{(25,1),(27,1),(31,1),(34,1),(57,1),(64,1),(65,1),(74,1),(100,1),(106,1),(117,1),(140,1),(150,1),(170,1)}
        43:{2,4,7}:{(25,1),(26,1),(28,1),(66,1)}
        44:{1,3,5,7}:{(26,1),(29,1),(33,1),(66,1),(67,1),(71,1),(112,1)}
        45:{2,4,5}:{(27,1),(28,1),(62,1),(68,1),(108,1),(148,1)}
        46:{1,4,6}:{(28,1),(29,1),(66,1),(68,1)}
        47:{1,2,5,6}:{(29,1),(67,1),(69,1),(108,1),(146,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(35,1),(58,1),(64,1),(70,1),(170,1)}
        49:{2,5,7}:{(31,1),(32,1),(70,1),(71,1)}
        50:{1,4,6,7}:{(32,1),(33,1),(66,1),(71,1),(110,1)}
        51:{1,2,6,7}:{(33,1),(67,1),(146,1)}
        52:{3,4,6}:{(34,1),(35,1),(73,1)}
        53:{2,4,5,7}:{(34,1),(36,1),(73,1),(74,1),(142,1),(166,1)}
        54:{2,3,5,6}:{(35,1),(36,1),(70,1),(73,1),(75,1),(105,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(71,1),(74,1),(75,1),(76,1),(117,1),(170,1),(174,1)}
        56:{2,4,6,7}:{(37,1),(76,1),(77,1),(107,1),(116,1),(119,1),(146,1),(169,1)}
        57:{3,4,5,7}:{(39,1),(78,1),(79,1),(137,1),(164,1)}
        58:{3,5,6}:{(38,1),(39,1),(78,1),(136,1),(164,1)}
        59:{2,3,5,7}:{(39,1),(40,1),(49,1),(79,1),(80,1),(81,1),(164,1),(173,1)}
        60:{1,3,4,6,7}:{(40,1),(50,1),(81,1),(82,1),(84,1),(94,1),(120,1),(127,1),(135,1),(154,1),(155,1),(162,1),(172,1)}
        61:{2,3,4,7}:{(41,1),(43,1),(83,1),(84,1),(129,1),(137,1),(155,1),(161,1)}
        62:{2,3,5}:{(41,1),(45,1),(85,1),(164,1),(171,1),(173,1)}
        63:{1,3,4,6}:{(41,1),(46,1),(84,1),(85,1),(86,1),(91,1),(126,1),(127,1),(133,1),(159,1),(172,1)}
        64:{1,3,4,6}:{(42,1),(48,1),(52,1),(78,1),(87,1),(95,1),(120,1),(127,1),(136,1),(154,1)}
        65:{2,4,5,7}:{(42,1),(43,1),(45,1),(49,1),(83,1),(87,1),(88,1),(128,1),(161,1),(173,1)}
        66:{1,4,7}:{(43,1),(44,1),(46,1)}
        67:{1,2,5,7}:{(44,1),(47,1),(51,1),(89,1),(128,1)}
        68:{1,4,5}:{(45,1),(46,1),(85,1),(159,1)}
        69:{1,2,4,6}:{(46,1),(47,1),(86,1),(89,1),(90,1),(91,1)}
        70:{2,5,6}:{(48,1),(49,1),(87,1),(92,1),(173,1)}
        71:{1,5,7}:{(49,1),(50,1),(92,1)}
        72:{1,2,4,6,7}:{(50,1),(51,1),(56,1),(82,1),(89,1),(93,1),(94,1),(124,1),(131,1),(135,1),(157,1),(172,1)}
        73:{2,4,6}:{(52,1),(53,1),(54,1),(95,1)}
        74:{1,4,5,7}:{(53,1),(55,1),(95,1),(96,1),(135,1),(163,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(92,1),(95,1),(97,1),(127,1),(136,1)}
        76:{2,5,7}:{(55,1),(56,1),(97,1),(173,1)}
        77:{2,3,6,7}:{(56,1),(94,1),(98,1),(129,1),(136,1),(160,1)}
        78:{3,4,6}:{(57,1),(58,1),(99,1)}
        79:{2,4,5,7}:{(57,1),(59,1),(99,1),(100,1),(119,1),(153,1)}
        80:{2,3,5,6}:{(58,1),(59,1),(70,1),(99,1),(101,1),(105,1)}
        81:{1,3,5,7}:{(59,1),(60,1),(71,1),(100,1),(101,1),(102,1),(140,1),(170,1),(174,1)}
        82:{2,4,6,7}:{(60,1),(102,1),(103,1),(107,1),(139,1),(142,1),(146,1),(169,1)}
        83:{2,3,5,7}:{(61,1),(62,1),(65,1),(105,1),(106,1),(117,1),(140,1)}
        84:{1,3,4,7}:{(61,1),(63,1),(66,1),(106,1),(107,1),(112,1),(144,1),(168,1)}
        85:{1,3,5}:{(62,1),(63,1),(68,1),(108,1),(174,1)}
        86:{2,4,6}:{(63,1),(107,1),(108,1),(109,1),(146,1),(148,1)}
        87:{2,4,6}:{(64,1),(65,1),(70,1),(105,1),(110,1),(146,1)}
        88:{1,4,5,7}:{(65,1),(66,1),(68,1),(71,1),(106,1),(110,1),(168,1),(174,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(69,1),(107,1),(112,1)}
        90:{1,2,4,5}:{(68,1),(69,1),(108,1),(113,1),(148,1)}
        91:{1,3,6}:{(69,1),(109,1),(112,1),(113,1)}
        92:{1,5,6}:{(70,1),(71,1),(110,1),(174,1)}
        93:{1,2,5,7}:{(71,1),(72,1),(76,1),(102,1),(114,1),(115,1),(174,1)}
        94:{1,3,6,7}:{(72,1),(77,1),(103,1),(112,1),(115,1),(144,1),(149,1),(167,1)}
        95:{1,4,6}:{(73,1),(74,1),(75,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(116,1),(117,1),(119,1),(153,1)}
        97:{2,5,6}:{(75,1),(76,1),(116,1),(146,1)}
        98:{2,3,5,7}:{(76,1),(77,1),(115,1),(117,1),(118,1),(119,1)}
        99:{2,4,6}:{(78,1),(79,1),(80,1),(120,1)}
       100:{1,4,5,7}:{(79,1),(81,1),(120,1),(121,1),(135,1),(163,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(92,1),(120,1),(122,1),(127,1),(154,1)}
       102:{2,5,7}:{(81,1),(82,1),(122,1),(173,1)}
       103:{2,3,6,7}:{(82,1),(94,1),(123,1),(129,1),(154,1),(160,1)}
       104:{1,2,4,6}:{(86,1),(124,1),(125,1),(126,1),(157,1),(159,1),(172,1)}
       105:{2,3,6}:{(83,1),(87,1),(127,1),(136,1),(154,1)}
       106:{1,3,5,7}:{(83,1),(84,1),(85,1),(88,1),(127,1),(128,1)}
       107:{2,4,7}:{(84,1),(86,1),(128,1),(129,1)}
       108:{2,5}:{(85,1),(86,1)}
       109:{2,3,6}:{(86,1),(91,1),(126,1),(129,1),(130,1)}
       110:{1,4,6}:{(87,1),(88,1),(92,1),(127,1)}
       111:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(96,1),(121,1),(128,1),(131,1),(132,1),(135,1),(161,1),(163,1),(173,1)}
       112:{1,3,7}:{(89,1),(91,1),(129,1)}
       113:{1,3,5}:{(90,1),(91,1),(130,1),(133,1)}
       114:{1,2,5,6}:{(92,1),(93,1),(97,1),(122,1),(131,1),(134,1),(157,1),(173,1)}
       115:{1,3,5,7}:{(93,1),(94,1),(98,1),(123,1),(134,1),(135,1)}
       116:{2,4,6}:{(95,1),(96,1),(97,1),(136,1)}
       117:{3,5,7}:{(96,1),(136,1),(137,1),(164,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(134,1),(136,1),(138,1),(160,1),(164,1),(173,1)}
       119:{2,4,7}:{(98,1),(135,1),(137,1),(138,1)}
       120:{1,4,6}:{(99,1),(100,1),(101,1),(139,1)}
       121:{2,4,5,7}:{(100,1),(102,1),(139,1),(140,1),(142,1),(166,1)}
       122:{2,5,6}:{(101,1),(102,1),(139,1),(146,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(141,1),(142,1)}
       124:{1,2,4,7}:{(104,1),(107,1),(143,1),(144,1),(168,1)}
       125:{1,2,5}:{(104,1),(108,1),(145,1),(174,1)}
       126:{1,3,6}:{(104,1),(109,1),(144,1),(145,1)}
       127:{1,3,6}:{(105,1),(106,1),(110,1),(146,1)}
       128:{2,5,7}:{(106,1),(107,1),(108,1),(146,1)}
       129:{2,3,7}:{(107,1),(109,1),(112,1),(144,1)}
       130:{2,3,5}:{(108,1),(109,1),(113,1),(145,1),(148,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(114,1),(116,1),(139,1),(146,1),(149,1),(151,1),(169,1)}
       132:{1,3,5,7}:{(111,1),(112,1),(113,1),(117,1),(140,1),(147,1),(149,1),(150,1),(170,1)}
       133:{1,3,4}:{(113,1),(148,1)}
       134:{1,3,5,6}:{(114,1),(115,1),(118,1),(141,1),(149,1),(151,1),(167,1),(170,1),(174,1)}
       135:{1,4,7}:{(115,1),(119,1),(142,1),(151,1)}
       136:{3,6}:{(116,1),(117,1)}
       137:{3,4,7}:{(117,1),(119,1),(152,1)}
       138:{2,4,6}:{(118,1),(119,1),(151,1),(152,1),(153,1)}
       139:{2,4,6}:{(120,1),(121,1),(122,1),(154,1)}
       140:{3,5,7}:{(121,1),(154,1),(155,1),(171,1)}
       141:{2,3,5,6}:{(122,1),(123,1),(134,1),(154,1),(156,1),(160,1),(171,1),(173,1)}
       142:{2,4,7}:{(123,1),(135,1),(155,1),(156,1)}
       143:{1,2,5,7}:{(124,1),(125,1),(128,1),(157,1),(158,1)}
       144:{1,3,7}:{(124,1),(126,1),(129,1)}
       145:{1,3,5}:{(125,1),(126,1),(130,1),(159,1)}
       146:{2,6}:{(127,1),(128,1)}
       147:{2,3,5,7}:{(128,1),(129,1),(130,1),(132,1),(158,1),(160,1),(161,1),(173,1)}
       148:{2,4}:{(130,1),(133,1),(159,1)}
       149:{1,3,6}:{(131,1),(132,1),(136,1),(154,1),(160,1)}
       150:{1,3,4,7}:{(132,1),(133,1),(135,1),(137,1),(155,1),(161,1),(162,1)}
       151:{1,4,6}:{(134,1),(135,1),(138,1),(156,1),(163,1)}
       152:{3,4,6}:{(136,1),(137,1),(138,1),(164,1)}
       153:{2,4,5}:{(138,1),(163,1),(164,1),(173,1)}
       154:{3,6}:{(139,1),(140,1)}
       155:{3,4,7}:{(140,1),(142,1),(165,1)}
       156:{2,4,6}:{(141,1),(142,1),(151,1),(165,1),(166,1)}
       157:{1,2,6}:{(143,1),(146,1),(167,1)}
       158:{1,3,5,7}:{(143,1),(144,1),(145,1),(147,1),(167,1),(168,1),(174,1)}
       159:{1,4}:{(145,1),(148,1)}
       160:{2,3,6}:{(146,1),(147,1),(149,1),(167,1),(169,1)}
       161:{2,4,7}:{(147,1),(148,1),(150,1),(168,1),(169,1)}
       162:{1,3,4,6}:{(149,1),(150,1),(151,1),(152,1),(165,1),(169,1),(170,1)}
       163:{1,4,5}:{(151,1),(153,1),(166,1),(170,1),(174,1)}
       164:{3,5}:{(152,1),(153,1)}
       165:{3,4,6}:{(154,1),(155,1),(156,1),(171,1)}
       166:{2,4,5}:{(156,1),(163,1),(171,1),(173,1)}
       167:{1,3,6}:{(157,1),(158,1),(160,1),(172,1)}
       168:{1,4,7}:{(158,1),(159,1),(161,1),(172,1)}
       169:{2,4,6}:{(160,1),(161,1),(162,1),(172,1),(173,1)}
       170:{1,3,5}:{(162,1),(163,1),(164,1),(171,1),(173,1)}
       171:{3,5}:{(165,1),(166,1)}
       172:{1,4,6}:{(167,1),(168,1),(169,1),(174,1)}
       173:{2,5}:{(169,1),(170,1),(174,1)}
       174:{1,5}:{(172,1),(173,1)}

2652 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(49,1),(118,1),(144,1),(198,1),(201,1),(211,1),(230,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(33,1),(36,1),(260,1),(261,1),(267,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(33,1),(44,1),(94,1),(106,1),(171,1),(184,1),(186,1),(257,1),(274,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(11,1),(80,1),(158,1),(243,1),(256,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(19,1),(54,1),(70,1),(139,1),(142,1),(203,1),(211,1),(291,1)}
         5:{1,2,4,7}:{(1,1),(15,1),(17,1),(308,1)}
         6:{1,2,3,6}:{(1,1),(17,1),(59,1),(302,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(142,1),(317,1)}
         8:{2,4,5,7}:{(2,1),(19,1),(21,1),(70,1),(71,1),(142,1),(232,1),(315,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(23,1),(59,1),(131,1),(143,1),(299,1)}
        10:{2,3,4,6,7}:{(3,1),(22,1),(24,1),(67,1),(116,1),(201,1),(228,1),(230,1),(286,1),(298,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1),(25,1),(285,1),(297,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(33,1),(84,1),(94,1),(159,1),(171,1),(247,1),(249,1),(257,1),(331,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(30,1),(40,1),(105,1),(180,1),(256,1)}
        14:{1,2,3,6,7}:{(6,1),(31,1),(32,1),(92,1),(168,1),(258,1),(261,1),(340,1),(341,1),(393,1)}
        15:{1,3,4,7}:{(5,1),(7,1),(26,1),(33,1),(34,1),(171,1),(345,1)}
        16:{1,2,4,5,7}:{(5,1),(8,1),(27,1),(33,1),(35,1),(36,1),(94,1),(95,1),(171,1),(257,1),(260,1),(264,1),(343,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(34,1),(36,1)}
        18:{1,2,3,5,6}:{(6,1),(32,1),(36,1),(37,1),(89,1),(93,1),(97,1),(168,1),(175,1),(266,1),(267,1),(341,1),(344,1),(392,1),(395,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(33,1),(40,1),(41,1),(276,1),(351,1)}
        20:{2,3,4,6}:{(7,1),(34,1),(40,1),(41,1),(105,1)}
        21:{2,4,6}:{(8,1),(9,1),(40,1),(43,1)}
        22:{1,3,4,6,7}:{(9,1),(10,1),(42,1),(44,1),(92,1),(102,1),(171,1),(182,1),(184,1),(273,1),(274,1),(337,1)}
        23:{1,3,5,6}:{(9,1),(11,1),(43,1),(44,1),(45,1),(108,1),(336,1)}
        24:{2,3,5,7}:{(10,1),(11,1),(44,1),(46,1),(325,1),(335,1)}
        25:{2,4,5,6}:{(11,1),(45,1),(46,1),(47,1),(158,1)}
        26:{2,3,4,7}:{(15,1),(49,1),(50,1),(201,1),(367,1)}
        27:{2,4,5,7}:{(12,1),(49,1),(51,1),(118,1),(119,1),(201,1),(293,1),(365,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(51,1),(53,1),(59,1),(131,1),(202,1),(299,1)}
        29:{2,3,4,6,7}:{(13,1),(52,1),(54,1),(68,1),(115,1),(142,1),(225,1),(289,1),(291,1),(298,1)}
        30:{2,3,5,6}:{(13,1),(53,1),(54,1),(55,1),(224,1),(297,1)}
        31:{1,2,4,6,7}:{(14,1),(17,1),(56,1),(57,1),(58,1),(127,1),(215,1),(298,1),(302,1),(373,1)}
        32:{1,2,3,5,7}:{(14,1),(18,1),(57,1),(58,1),(128,1),(130,1),(219,1),(307,1),(374,1),(408,1)}
        33:{1,3,5,7}:{(15,1),(16,1),(19,1),(49,1),(59,1),(60,1),(306,1),(374,1)}
        34:{1,3,4,6}:{(15,1),(17,1),(20,1),(50,1),(59,1),(60,1),(131,1)}
        35:{1,2,4,6}:{(16,1),(21,1),(51,1),(59,1),(62,1),(131,1),(299,1),(302,1)}
        36:{1,2,5}:{(17,1),(60,1)}
        37:{1,2,4,6}:{(18,1),(58,1),(63,1),(64,1),(131,1),(217,1),(308,1),(409,1)}
        38:{2,3,4,6,7}:{(20,1),(56,1),(65,1),(68,1),(129,1),(138,1),(142,1),(213,1),(225,1),(298,1),(406,1),(407,1),(423,1)}
        39:{2,3,5,6,7}:{(24,1),(66,1),(67,1),(77,1),(150,1),(228,1)}
        40:{2,3,6}:{(19,1),(21,1),(59,1)}
        41:{2,3,5}:{(20,1),(60,1),(70,1)}
        42:{2,4,6,7}:{(21,1),(22,1),(68,1),(71,1),(142,1),(314,1),(315,1)}
        43:{2,5,6}:{(21,1),(23,1),(71,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(24,1),(71,1),(73,1),(145,1),(368,1)}
        45:{1,4,5,6}:{(23,1),(25,1),(72,1),(73,1),(131,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(67,1),(73,1),(75,1),(201,1)}
        47:{3,4,5,6}:{(25,1),(75,1),(202,1),(285,1)}
        48:{2,4,5,6,7}:{(67,1),(76,1),(77,1),(150,1),(284,1),(320,1)}
        49:{2,3,5,7}:{(26,1),(27,1),(33,1),(80,1),(81,1),(333,1),(390,1)}
        50:{2,3,4,6}:{(26,1),(34,1),(80,1),(81,1),(158,1)}
        51:{2,4,6}:{(27,1),(28,1),(80,1),(83,1)}
        52:{1,3,4,6,7}:{(28,1),(29,1),(82,1),(84,1),(92,1),(155,1),(171,1),(245,1),(247,1),(330,1),(331,1),(337,1)}
        53:{1,3,5,6}:{(28,1),(30,1),(83,1),(84,1),(85,1),(161,1),(336,1)}
        54:{2,3,5,7}:{(29,1),(30,1),(84,1),(86,1),(268,1),(335,1)}
        55:{2,4,5,6}:{(30,1),(85,1),(86,1),(87,1),(105,1)}
        56:{1,3,4,6,7}:{(31,1),(34,1),(38,1),(78,1),(88,1),(91,1),(92,1),(165,1),(168,1),(170,1),(171,1),(259,1),(337,1),(393,1),(394,1),(419,1)}
        57:{1,2,5,7}:{(31,1),(36,1),(88,1),(89,1),(335,1),(395,1)}
        58:{1,2,4,7}:{(32,1),(37,1),(91,1),(171,1),(262,1),(419,1)}
        59:{1,3,6}:{(33,1),(35,1),(40,1),(80,1)}
        60:{1,3,5}:{(34,1),(36,1),(41,1),(81,1),(94,1)}
        61:{1,2,4,6,7}:{(35,1),(42,1),(82,1),(92,1),(95,1),(171,1),(337,1),(340,1),(343,1)}
        62:{1,2,5,6}:{(35,1),(36,1),(43,1),(83,1),(93,1),(95,1),(336,1)}
        63:{1,2,4,5}:{(36,1),(37,1),(94,1),(97,1),(173,1),(395,1),(420,1)}
        64:{1,3,4,6}:{(37,1),(91,1),(97,1),(98,1),(168,1),(344,1),(345,1)}
        65:{2,3,5,7}:{(38,1),(41,1),(88,1),(99,1),(100,1),(268,1),(335,1),(418,1)}
        66:{1,3,5,6,7}:{(39,1),(44,1),(101,1),(102,1),(182,1),(193,1),(273,1)}
        67:{2,4,6,7}:{(39,1),(46,1),(102,1),(103,1)}
        68:{2,3,6,7}:{(40,1),(42,1),(92,1),(104,1),(182,1),(351,1)}
        69:{2,3,5,6}:{(40,1),(41,1),(43,1),(93,1),(104,1),(105,1),(108,1)}
        70:{2,4,5}:{(41,1),(94,1),(105,1),(106,1)}
        71:{2,5,7}:{(42,1),(43,1),(44,1)}
        72:{2,4,5,6}:{(43,1),(45,1),(105,1),(107,1),(108,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(46,1),(102,1),(107,1),(171,1)}
        74:{1,3,4,5,6}:{(45,1),(47,1),(108,1),(109,1),(110,1),(172,1),(188,1),(190,1),(254,1),(279,1),(353,1)}
        75:{3,4,5,7}:{(46,1),(47,1),(103,1),(247,1),(325,1)}
        76:{1,4,5,6,7}:{(48,1),(102,1),(111,1),(112,1),(193,1),(253,1),(280,1)}
        77:{3,5,6,7}:{(48,1),(103,1),(325,1),(354,1)}
        78:{2,3,4,6,7}:{(50,1),(56,1),(113,1),(116,1),(129,1),(197,1),(201,1),(213,1),(286,1),(298,1),(377,1),(378,1),(411,1)}
        79:{2,3,5,6,7}:{(54,1),(114,1),(115,1),(195,1),(283,1),(289,1)}
        80:{2,3,6}:{(49,1),(51,1),(59,1)}
        81:{2,3,5}:{(50,1),(60,1),(118,1)}
        82:{2,4,6,7}:{(51,1),(52,1),(116,1),(119,1),(201,1),(364,1),(365,1)}
        83:{2,5,6}:{(51,1),(53,1),(119,1)}
        84:{1,3,5,7}:{(52,1),(53,1),(54,1),(119,1),(121,1),(204,1),(368,1)}
        85:{1,4,5,6}:{(53,1),(55,1),(120,1),(121,1),(131,1)}
        86:{2,4,5,7}:{(54,1),(55,1),(115,1),(121,1),(123,1),(142,1)}
        87:{3,4,5,6}:{(55,1),(123,1),(143,1),(224,1)}
        88:{1,3,5,7}:{(56,1),(57,1),(60,1),(65,1),(113,1),(124,1),(125,1),(368,1),(410,1)}
        89:{1,2,5,6}:{(57,1),(124,1),(127,1),(297,1),(302,1)}
        90:{1,2,4,5,7}:{(57,1),(58,1),(63,1),(125,1),(127,1),(128,1),(211,1)}
        91:{1,3,4,7}:{(58,1),(64,1),(128,1),(129,1),(374,1)}
        92:{1,3,6,7}:{(59,1),(61,1),(68,1),(116,1),(130,1),(374,1)}
        93:{1,3,5,6}:{(59,1),(60,1),(62,1),(69,1),(117,1),(130,1),(131,1)}
        94:{1,4,5}:{(60,1),(70,1),(118,1),(131,1)}
        95:{1,2,5,7}:{(61,1),(62,1),(71,1),(119,1),(130,1),(368,1)}
        96:{1,2,4,5,6}:{(62,1),(63,1),(72,1),(120,1),(127,1),(131,1),(133,1),(134,1),(148,1),(207,1),(208,1),(217,1),(234,1),(295,1),(297,1),(305,1),(319,1),(369,1),(402,1),(409,1)}
        97:{1,3,5}:{(63,1),(64,1),(135,1)}
        98:{2,3,4,6}:{(64,1),(129,1),(135,1),(136,1),(213,1),(217,1),(316,1),(317,1),(366,1),(367,1)}
        99:{2,3,5,6}:{(65,1),(124,1),(138,1),(213,1),(224,1),(297,1)}
       100:{2,4,5,7}:{(65,1),(70,1),(125,1),(138,1),(139,1),(142,1),(423,1),(424,1)}
       101:{2,5,6,7}:{(66,1),(71,1),(140,1),(314,1)}
       102:{1,4,6,7}:{(66,1),(67,1),(73,1),(140,1)}
       103:{3,4,6,7}:{(67,1),(75,1),(77,1)}
       104:{2,3,5,7}:{(68,1),(69,1),(71,1),(130,1),(142,1),(145,1)}
       105:{2,4,6}:{(69,1),(70,1),(131,1),(142,1),(143,1)}
       106:{3,4,5}:{(70,1),(143,1)}
       107:{2,4,5,7}:{(71,1),(72,1),(73,1),(140,1),(142,1),(145,1)}
       108:{3,5,6}:{(72,1),(143,1),(145,1)}
       109:{1,3,4,5,7}:{(73,1),(74,1),(75,1),(141,1),(145,1),(147,1),(216,1),(233,1),(235,1),(296,1),(318,1),(379,1)}
       110:{2,4,5,6}:{(74,1),(146,1),(147,1),(148,1),(217,1),(234,1),(297,1)}
       111:{2,4,5,6,7}:{(76,1),(140,1),(149,1),(150,1),(223,1),(237,1)}
       112:{1,3,5,6,7}:{(76,1),(77,1),(141,1),(149,1),(150,1),(296,1)}
       113:{2,3,5,7}:{(78,1),(81,1),(88,1),(152,1),(153,1),(325,1),(335,1),(398,1)}
       114:{1,3,5,6,7}:{(79,1),(84,1),(154,1),(155,1),(245,1),(324,1),(330,1)}
       115:{2,4,6,7}:{(79,1),(86,1),(155,1),(156,1)}
       116:{2,3,6,7}:{(80,1),(82,1),(92,1),(157,1),(245,1),(390,1)}
       117:{2,3,5,6}:{(80,1),(81,1),(83,1),(93,1),(157,1),(158,1),(161,1)}
       118:{2,4,5}:{(81,1),(94,1),(158,1),(159,1)}
       119:{2,5,7}:{(82,1),(83,1),(84,1)}
       120:{2,4,5,6}:{(83,1),(85,1),(158,1),(160,1),(161,1)}
       121:{1,4,5,7}:{(84,1),(85,1),(86,1),(155,1),(160,1),(171,1)}
       122:{1,3,4,5,6}:{(85,1),(87,1),(161,1),(162,1),(163,1),(172,1),(251,1),(254,1),(321,1),(382,1),(414,1)}
       123:{3,4,5,7}:{(86,1),(87,1),(156,1),(184,1),(268,1)}
       124:{1,3,5,6}:{(88,1),(89,1),(99,1),(152,1),(165,1),(168,1),(259,1),(336,1)}
       125:{1,4,5,7}:{(88,1),(94,1),(100,1),(153,1),(165,1),(171,1),(419,1),(420,1)}
       126:{1,2,5,6,7}:{(89,1),(95,1),(101,1),(154,1),(164,1),(167,1),(193,1),(281,1),(324,1),(335,1),(340,1),(384,1),(391,1)}
       127:{1,2,4,6}:{(89,1),(90,1),(165,1),(168,1),(256,1)}
       128:{1,3,5,7}:{(90,1),(91,1),(97,1),(168,1),(169,1)}
       129:{2,3,4,7}:{(91,1),(98,1),(169,1),(170,1),(262,1),(351,1),(390,1)}
       130:{1,3,5,7}:{(92,1),(93,1),(95,1),(104,1),(157,1),(171,1)}
       131:{1,4,6}:{(93,1),(94,1),(105,1),(158,1),(171,1)}
       132:{1,3,4,5}:{(94,1),(97,1),(106,1),(159,1),(172,1),(173,1),(400,1),(420,1),(426,1)}
       133:{1,2,4,5,7}:{(95,1),(96,1),(107,1),(160,1),(167,1),(171,1),(174,1),(189,1),(252,1),(253,1),(262,1),(277,1),(334,1),(335,1),(343,1),(352,1),(391,1),(413,1),(419,1)}
       134:{1,3,5,6}:{(96,1),(97,1),(108,1),(161,1),(168,1),(172,1),(174,1),(175,1),(344,1),(353,1),(414,1)}
       135:{2,3,5}:{(97,1),(98,1),(173,1),(176,1)}
       136:{1,3,4,6}:{(98,1),(170,1),(176,1),(177,1),(259,1),(263,1),(344,1),(345,1)}
       137:{2,3,5,6,7}:{(99,1),(101,1),(104,1),(164,1),(179,1),(182,1),(258,1),(268,1),(335,1),(384,1),(415,1),(416,1)}
       138:{2,4,6}:{(99,1),(100,1),(165,1),(180,1)}
       139:{3,4,5,7}:{(100,1),(106,1),(180,1),(184,1),(268,1),(425,1),(426,1)}
       140:{2,4,6,7}:{(101,1),(102,1),(107,1),(182,1)}
       141:{1,3,4,6,7}:{(102,1),(103,1),(109,1),(112,1),(182,1),(183,1),(191,1),(273,1),(280,1),(354,1)}
       142:{2,4,7}:{(104,1),(105,1),(171,1),(184,1)}
       143:{3,4,6}:{(105,1),(106,1),(108,1),(184,1)}
       144:{2,3,4,5}:{(106,1),(173,1),(185,1),(186,1),(333,1),(400,1)}
       145:{3,5,7}:{(107,1),(108,1),(182,1),(184,1)}
       146:{2,3,5,6}:{(108,1),(110,1),(185,1),(187,1),(188,1),(353,1)}
       147:{2,4,5,7}:{(109,1),(110,1),(183,1),(187,1),(189,1),(262,1),(277,1),(335,1)}
       148:{1,4,5,6}:{(110,1),(188,1),(189,1),(263,1),(336,1)}
       149:{3,5,6,7}:{(111,1),(182,1),(191,1),(268,1)}
       150:{2,5,6,7}:{(112,1),(183,1),(193,1),(335,1)}
       151:{2,4,5,6,7}:{(115,1),(194,1),(195,1),(223,1),(283,1),(403,1)}
       152:{2,3,5,6}:{(113,1),(124,1),(197,1),(213,1),(285,1),(297,1)}
       153:{2,4,5,7}:{(113,1),(118,1),(125,1),(197,1),(198,1),(201,1),(411,1),(412,1)}
       154:{2,5,6,7}:{(114,1),(119,1),(199,1),(364,1)}
       155:{1,4,6,7}:{(114,1),(115,1),(121,1),(199,1)}
       156:{3,4,6,7}:{(115,1),(123,1),(195,1)}
       157:{2,3,5,7}:{(116,1),(117,1),(119,1),(130,1),(201,1),(204,1)}
       158:{2,4,6}:{(117,1),(118,1),(131,1),(201,1),(202,1)}
       159:{3,4,5}:{(118,1),(202,1)}
       160:{2,4,5,7}:{(119,1),(120,1),(121,1),(199,1),(201,1),(204,1)}
       161:{3,5,6}:{(120,1),(202,1),(204,1)}
       162:{1,3,4,5,7}:{(121,1),(122,1),(123,1),(200,1),(204,1),(206,1),(216,1),(294,1),(296,1),(355,1),(401,1),(421,1)}
       163:{2,4,5,6}:{(122,1),(205,1),(206,1),(207,1),(217,1),(295,1),(297,1)}
       164:{1,3,5,6,7}:{(124,1),(126,1),(130,1),(137,1),(196,1),(209,1),(212,1),(296,1),(301,1),(368,1),(408,1)}
       165:{1,4,6}:{(124,1),(125,1),(138,1),(197,1)}
       166:{1,3,4,5,7}:{(125,1),(128,1),(132,1),(139,1),(198,1),(210,1),(211,1),(216,1),(296,1)}
       167:{1,2,4,6,7}:{(126,1),(127,1),(133,1),(140,1),(199,1),(209,1),(212,1),(229,1),(290,1),(298,1),(314,1),(320,1),(364,1),(403,1)}
       168:{1,3,6}:{(127,1),(128,1),(213,1)}
       169:{2,3,5,7}:{(128,1),(129,1),(135,1),(211,1),(213,1),(214,1)}
       170:{1,3,4,7}:{(129,1),(136,1),(214,1),(215,1),(304,1),(374,1)}
       171:{1,4,7}:{(130,1),(131,1),(142,1),(201,1)}
       172:{1,3,4,6}:{(131,1),(132,1),(134,1),(143,1),(202,1),(216,1),(217,1),(380,1),(409,1),(422,1)}
       173:{2,4,5}:{(132,1),(135,1),(217,1),(218,1)}
       174:{1,3,5,7}:{(133,1),(134,1),(145,1),(204,1),(212,1),(216,1),(219,1),(374,1),(379,1),(421,1)}
       175:{2,3,5,6}:{(134,1),(135,1),(213,1),(217,1),(219,1),(220,1),(234,1),(295,1),(297,1),(316,1),(366,1)}
       176:{1,3,5}:{(135,1),(136,1),(218,1),(221,1)}
       177:{1,2,4,6}:{(136,1),(215,1),(221,1),(222,1),(302,1),(308,1)}
       178:{2,4,5,6}:{(138,1),(208,1),(223,1),(224,1),(297,1)}
       179:{2,4,6,7}:{(137,1),(138,1),(142,1),(209,1),(223,1),(225,1),(423,1)}
       180:{3,4,6}:{(138,1),(139,1),(224,1)}
       181:{2,3,4,5,7}:{(139,1),(144,1),(211,1),(226,1),(227,1),(230,1),(309,1),(363,1),(423,1),(424,1)}
       182:{3,6,7}:{(140,1),(145,1)}
       183:{2,4,6,7}:{(141,1),(147,1),(150,1),(228,1),(229,1),(314,1)}
       184:{3,4,7}:{(142,1),(143,1),(145,1)}
       185:{2,3,4,6}:{(143,1),(144,1),(146,1),(217,1),(230,1),(231,1),(366,1),(380,1)}
       186:{1,3,4,5}:{(144,1),(218,1),(231,1),(232,1),(306,1)}
       187:{2,3,5,7}:{(145,1),(146,1),(147,1),(228,1),(230,1),(233,1),(379,1)}
       188:{1,3,5,6}:{(146,1),(148,1),(231,1),(233,1),(234,1)}
       189:{1,4,5,7}:{(147,1),(148,1),(229,1),(233,1),(304,1),(368,1)}
       190:{3,4,5,6}:{(224,1),(235,1),(236,1),(422,1)}
       191:{3,4,6,7}:{(149,1),(235,1),(237,1)}
       192:{2,3,5,6,7}:{(149,1),(150,1),(228,1),(237,1),(238,1),(309,1)}
       193:{1,5,6,7}:{(150,1),(229,1),(368,1)}
       194:{1,4,5,6,7}:{(151,1),(155,1),(239,1),(240,1),(253,1),(324,1),(383,1)}
       195:{3,5,6,7}:{(151,1),(156,1),(268,1),(415,1)}
       196:{2,3,5,6,7}:{(152,1),(154,1),(157,1),(164,1),(242,1),(245,1),(258,1),(281,1),(325,1),(335,1),(354,1),(396,1)}
       197:{2,4,6}:{(152,1),(153,1),(165,1),(243,1)}
       198:{3,4,5,7}:{(153,1),(159,1),(243,1),(247,1),(325,1),(399,1),(400,1)}
       199:{2,4,6,7}:{(154,1),(155,1),(160,1),(245,1)}
       200:{1,3,4,6,7}:{(155,1),(156,1),(162,1),(240,1),(245,1),(246,1),(322,1),(330,1),(383,1),(415,1)}
       201:{2,4,7}:{(157,1),(158,1),(171,1),(247,1)}
       202:{3,4,6}:{(158,1),(159,1),(161,1),(247,1)}
       203:{2,3,4,5}:{(159,1),(173,1),(248,1),(249,1),(276,1),(426,1)}
       204:{3,5,7}:{(160,1),(161,1),(245,1),(247,1)}
       205:{2,3,5,6}:{(161,1),(163,1),(248,1),(250,1),(251,1),(414,1)}
       206:{2,4,5,7}:{(162,1),(163,1),(246,1),(250,1),(252,1),(262,1),(334,1),(335,1)}
       207:{1,4,5,6}:{(163,1),(251,1),(252,1),(263,1),(336,1)}
       208:{1,4,5,6}:{(165,1),(178,1),(241,1),(253,1),(254,1),(336,1)}
       209:{1,4,6,7}:{(164,1),(165,1),(171,1),(179,1),(242,1),(253,1),(419,1)}
       210:{1,3,4,6}:{(165,1),(166,1),(168,1),(180,1),(243,1),(254,1),(256,1)}
       211:{2,4,5,7}:{(166,1),(169,1),(173,1),(256,1),(257,1),(262,1),(335,1)}
       212:{1,3,6,7}:{(167,1),(168,1),(174,1),(182,1),(245,1),(258,1),(354,1),(415,1)}
       213:{2,3,6}:{(168,1),(169,1),(256,1),(259,1)}
       214:{1,3,5,7}:{(169,1),(170,1),(176,1),(257,1),(259,1),(260,1)}
       215:{1,2,4,7}:{(170,1),(177,1),(260,1),(261,1)}
       216:{1,3,4,7}:{(171,1),(172,1),(174,1),(184,1),(247,1),(262,1),(399,1),(419,1),(425,1)}
       217:{2,4,6}:{(172,1),(173,1),(175,1),(262,1),(263,1)}
       218:{1,4,5}:{(173,1),(176,1),(263,1)}
       219:{2,3,5,7}:{(174,1),(175,1),(258,1),(262,1),(265,1),(277,1),(334,1),(335,1),(351,1),(390,1)}
       220:{1,3,5,6}:{(175,1),(176,1),(259,1),(263,1),(265,1),(266,1),(336,1),(344,1)}
       221:{1,2,5}:{(176,1),(177,1)}
       222:{1,2,3,6}:{(177,1),(261,1),(267,1),(344,1)}
       223:{2,4,5,7}:{(178,1),(179,1),(253,1),(268,1),(335,1)}
       224:{3,5,6}:{(178,1),(180,1),(268,1)}
       225:{3,4,6,7}:{(179,1),(180,1),(182,1),(184,1),(268,1),(415,1),(425,1)}
       226:{2,3,4,6}:{(180,1),(181,1),(256,1),(269,1),(271,1),(388,1),(417,1)}
       227:{1,3,4,5,7}:{(181,1),(186,1),(257,1),(271,1),(272,1),(274,1),(339,1),(346,1),(399,1),(400,1),(419,1),(420,1)}
       228:{2,3,6,7}:{(182,1),(183,1),(187,1),(273,1),(354,1)}
       229:{1,4,6,7}:{(183,1),(189,1),(193,1),(273,1)}
       230:{2,3,4,7}:{(184,1),(185,1),(187,1),(262,1),(274,1),(390,1),(399,1)}
       231:{1,3,4,6}:{(185,1),(186,1),(188,1),(263,1),(274,1),(275,1),(344,1)}
       232:{2,4,5}:{(186,1),(275,1),(276,1)}
       233:{1,3,5,7}:{(187,1),(188,1),(189,1),(273,1),(274,1),(277,1)}
       234:{2,5,6}:{(188,1),(275,1),(277,1)}
       235:{3,4,5,7}:{(190,1),(191,1),(268,1),(278,1),(425,1)}
       236:{2,4,5,6}:{(190,1),(269,1),(278,1),(279,1),(417,1)}
       237:{2,4,6,7}:{(191,1),(192,1),(278,1),(280,1)}
       238:{1,3,5,6,7}:{(192,1),(193,1),(273,1),(280,1),(281,1),(346,1),(354,1)}
       239:{2,4,5,6,7}:{(194,1),(199,1),(282,1),(283,1),(284,1),(357,1)}
       240:{1,3,5,6,7}:{(194,1),(195,1),(200,1),(282,1),(283,1),(296,1)}
       241:{2,4,5,6}:{(197,1),(208,1),(284,1),(285,1),(297,1)}
       242:{2,4,6,7}:{(196,1),(197,1),(201,1),(209,1),(284,1),(286,1),(411,1)}
       243:{3,4,6}:{(197,1),(198,1),(285,1)}
       244:{2,3,4,5,7}:{(198,1),(203,1),(211,1),(287,1),(288,1),(291,1),(313,1),(359,1),(411,1),(412,1)}
       245:{3,6,7}:{(199,1),(204,1)}
       246:{2,4,6,7}:{(200,1),(206,1),(283,1),(289,1),(290,1),(364,1)}
       247:{3,4,7}:{(201,1),(202,1),(204,1)}
       248:{2,3,4,6}:{(202,1),(203,1),(205,1),(217,1),(291,1),(292,1),(316,1),(422,1)}
       249:{1,3,4,5}:{(203,1),(218,1),(292,1),(293,1),(306,1)}
       250:{2,3,5,7}:{(204,1),(205,1),(206,1),(289,1),(291,1),(294,1),(421,1)}
       251:{1,3,5,6}:{(205,1),(207,1),(292,1),(294,1),(295,1)}
       252:{1,4,5,7}:{(206,1),(207,1),(290,1),(294,1),(304,1),(368,1)}
       253:{1,4,5,7}:{(208,1),(209,1),(223,1),(284,1),(296,1),(368,1)}
       254:{1,3,5,6}:{(208,1),(210,1),(224,1),(285,1),(296,1),(297,1)}
       255:{1,3,4,6,7}:{(209,1),(210,1),(212,1),(216,1),(225,1),(286,1),(296,1),(298,1)}
       256:{2,4,6}:{(210,1),(211,1),(213,1),(297,1),(299,1)}
       257:{1,4,5,7}:{(211,1),(214,1),(218,1),(299,1),(304,1),(368,1)}
       258:{2,3,6,7}:{(212,1),(213,1),(219,1),(298,1),(301,1),(314,1),(364,1)}
       259:{1,3,6}:{(213,1),(214,1),(299,1),(302,1)}
       260:{1,2,5,7}:{(214,1),(215,1),(221,1),(302,1)}
       261:{1,2,3,7}:{(215,1),(222,1),(374,1)}
       262:{2,4,7}:{(216,1),(217,1),(219,1),(304,1)}
       263:{1,4,6}:{(217,1),(218,1),(220,1),(304,1)}
       264:{1,2,4,5}:{(218,1),(221,1),(232,1),(293,1),(305,1),(306,1),(308,1)}
       265:{1,3,5,7}:{(219,1),(220,1),(301,1),(304,1),(307,1),(368,1),(374,1)}
       266:{1,2,5,6}:{(220,1),(221,1),(234,1),(295,1),(302,1),(305,1),(307,1)}
       267:{1,2,3,5}:{(221,1),(222,1),(306,1),(308,1)}
       268:{3,5,7}:{(223,1),(224,1),(225,1)}
       269:{2,3,5,6}:{(224,1),(226,1),(236,1),(297,1),(309,1),(310,1)}
       270:{2,3,4,6,7}:{(225,1),(226,1),(228,1),(230,1),(237,1),(298,1),(309,1),(311,1),(406,1),(423,1)}
       271:{1,3,4,6}:{(226,1),(227,1),(299,1),(310,1),(312,1),(371,1),(380,1),(409,1)}
       272:{2,4,5,7}:{(227,1),(232,1),(312,1),(313,1),(315,1),(375,1),(411,1),(412,1)}
       273:{1,3,6,7}:{(228,1),(229,1),(233,1),(314,1)}
       274:{1,3,4,7}:{(230,1),(231,1),(233,1),(304,1),(315,1),(374,1)}
       275:{2,4,6}:{(231,1),(232,1),(234,1),(315,1),(316,1)}
       276:{2,3,5}:{(232,1),(306,1),(316,1),(317,1)}
       277:{2,5,7}:{(233,1),(234,1),(314,1),(315,1)}
       278:{2,4,5,7}:{(235,1),(236,1),(237,1),(309,1),(318,1),(423,1)}
       279:{1,4,5,6}:{(236,1),(310,1),(318,1),(319,1),(409,1)}
       280:{1,4,6,7}:{(237,1),(238,1),(318,1),(320,1)}
       281:{2,5,6,7}:{(238,1),(314,1),(320,1),(375,1)}
       282:{3,5,6,7}:{(239,1),(245,1),(322,1),(325,1)}
       283:{2,5,6,7}:{(240,1),(246,1),(324,1),(335,1)}
       284:{2,4,5,7}:{(241,1),(242,1),(253,1),(325,1),(335,1)}
       285:{3,5,6}:{(241,1),(243,1),(325,1)}
       286:{3,4,6,7}:{(242,1),(243,1),(245,1),(247,1),(325,1),(354,1),(399,1)}
       287:{2,3,4,6}:{(243,1),(244,1),(256,1),(326,1),(328,1),(349,1),(397,1)}
       288:{1,3,4,5,7}:{(244,1),(249,1),(257,1),(328,1),(329,1),(331,1),(339,1),(385,1),(419,1),(420,1),(425,1),(426,1)}
       289:{2,3,6,7}:{(245,1),(246,1),(250,1),(330,1),(415,1)}
       290:{1,4,6,7}:{(246,1),(252,1),(324,1),(330,1)}
       291:{2,3,4,7}:{(247,1),(248,1),(250,1),(262,1),(331,1),(351,1),(425,1)}
       292:{1,3,4,6}:{(248,1),(249,1),(251,1),(263,1),(331,1),(332,1),(344,1)}
       293:{2,4,5}:{(249,1),(332,1),(333,1)}
       294:{1,3,5,7}:{(250,1),(251,1),(252,1),(330,1),(331,1),(334,1)}
       295:{2,5,6}:{(251,1),(332,1),(334,1)}
       296:{1,3,5,7}:{(253,1),(254,1),(255,1),(268,1),(325,1),(335,1)}
       297:{2,5,6}:{(254,1),(256,1),(335,1),(336,1)}
       298:{2,4,6,7}:{(255,1),(256,1),(258,1),(262,1),(335,1),(337,1)}
       299:{1,4,6}:{(256,1),(257,1),(259,1),(336,1)}
       300:{1,2,4,5,7}:{(257,1),(260,1),(264,1),(272,1),(329,1),(338,1),(339,1),(342,1),(343,1),(391,1),(395,1),(419,1),(420,1)}
       301:{1,3,6,7}:{(258,1),(259,1),(265,1),(337,1),(340,1)}
       302:{1,2,6}:{(259,1),(260,1)}
       303:{1,2,3,5,7}:{(260,1),(261,1),(267,1),(339,1),(341,1),(342,1),(395,1)}
       304:{1,4,7}:{(262,1),(263,1),(265,1)}
       305:{1,2,4,6}:{(263,1),(264,1),(266,1),(275,1),(332,1),(343,1),(344,1)}
       306:{1,3,5}:{(264,1),(276,1),(333,1),(344,1),(345,1)}
       307:{1,2,5,7}:{(265,1),(266,1),(277,1),(334,1),(340,1),(343,1)}
       308:{1,2,4}:{(267,1),(345,1)}
       309:{2,3,5,7}:{(268,1),(269,1),(270,1),(278,1),(335,1),(346,1)}
       310:{1,3,5,6}:{(269,1),(271,1),(279,1),(336,1),(346,1),(347,1),(353,1)}
       311:{1,3,4,6,7}:{(270,1),(271,1),(273,1),(274,1),(280,1),(337,1),(346,1),(348,1),(354,1),(393,1),(399,1),(419,1)}
       312:{2,4,6}:{(271,1),(272,1),(347,1),(349,1)}
       313:{2,3,5,7}:{(272,1),(276,1),(339,1),(349,1),(350,1),(351,1),(398,1)}
       314:{2,6,7}:{(273,1),(277,1)}
       315:{2,4,7}:{(274,1),(275,1),(277,1),(351,1)}
       316:{2,3,6}:{(275,1),(276,1),(344,1),(351,1)}
       317:{2,3,4}:{(276,1),(345,1)}
       318:{1,4,5,7}:{(278,1),(279,1),(280,1),(346,1),(352,1),(419,1)}
       319:{2,4,5,6}:{(279,1),(347,1),(352,1),(353,1),(397,1)}
       320:{2,4,6,7}:{(280,1),(281,1),(352,1),(354,1)}
       321:{3,4,5,6}:{(285,1),(355,1),(356,1),(380,1)}
       322:{3,4,6,7}:{(282,1),(355,1),(357,1)}
       323:{2,3,5,6,7}:{(282,1),(283,1),(289,1),(357,1),(358,1),(359,1)}
       324:{1,5,6,7}:{(283,1),(290,1),(368,1)}
       325:{3,5,7}:{(284,1),(285,1),(286,1)}
       326:{2,3,5,6}:{(285,1),(287,1),(297,1),(356,1),(359,1),(360,1)}
       327:{2,3,4,6,7}:{(286,1),(287,1),(289,1),(291,1),(298,1),(357,1),(359,1),(361,1),(377,1),(411,1)}
       328:{1,3,4,6}:{(287,1),(288,1),(299,1),(360,1),(362,1),(371,1),(409,1),(422,1)}
       329:{2,4,5,7}:{(288,1),(293,1),(362,1),(363,1),(365,1),(404,1),(423,1),(424,1)}
       330:{1,3,6,7}:{(289,1),(290,1),(294,1),(364,1)}
       331:{1,3,4,7}:{(291,1),(292,1),(294,1),(304,1),(365,1),(374,1)}
       332:{2,4,6}:{(292,1),(293,1),(295,1),(365,1),(366,1)}
       333:{2,3,5}:{(293,1),(306,1),(366,1),(367,1)}
       334:{2,5,7}:{(294,1),(295,1),(364,1),(365,1)}
       335:{2,5,7}:{(296,1),(297,1),(298,1),(368,1)}
       336:{1,5,6}:{(297,1),(299,1),(368,1)}
       337:{1,4,6,7}:{(298,1),(299,1),(301,1),(304,1),(368,1)}
       338:{1,2,4,6}:{(299,1),(300,1),(302,1),(312,1),(362,1),(369,1),(371,1),(409,1)}
       339:{1,3,5,7}:{(300,1),(306,1),(313,1),(363,1),(371,1),(372,1),(374,1),(410,1)}
       340:{1,2,6,7}:{(301,1),(302,1),(307,1),(314,1),(364,1)}
       341:{1,2,3,6}:{(302,1),(303,1),(371,1),(373,1)}
       342:{1,2,4,7}:{(303,1),(308,1),(372,1),(373,1)}
       343:{1,2,4,7}:{(304,1),(305,1),(307,1),(315,1),(365,1),(374,1)}
       344:{1,3,6}:{(305,1),(306,1),(316,1),(366,1),(374,1)}
       345:{1,3,4}:{(306,1),(308,1),(317,1),(367,1)}
       346:{1,3,5,7}:{(309,1),(310,1),(311,1),(318,1),(368,1),(375,1),(379,1)}
       347:{2,5,6}:{(310,1),(312,1),(375,1)}
       348:{2,4,6,7}:{(311,1),(312,1),(314,1),(315,1),(375,1),(377,1),(411,1)}
       349:{2,3,6}:{(312,1),(313,1),(371,1)}
       350:{2,3,4,7}:{(313,1),(317,1),(372,1),(378,1),(411,1)}
       351:{2,3,7}:{(315,1),(316,1),(374,1)}
       352:{2,4,5,7}:{(318,1),(319,1),(320,1),(375,1),(379,1),(411,1)}
       353:{3,5,6}:{(319,1),(379,1),(380,1)}
       354:{3,6,7}:{(320,1),(379,1)}
       355:{3,4,5,7}:{(321,1),(322,1),(325,1),(381,1),(399,1)}
       356:{2,4,5,6}:{(321,1),(326,1),(381,1),(382,1),(397,1)}
       357:{2,4,6,7}:{(322,1),(323,1),(381,1),(383,1)}
       358:{1,3,5,6,7}:{(323,1),(324,1),(330,1),(383,1),(384,1),(385,1),(415,1)}
       359:{2,3,5,7}:{(325,1),(326,1),(327,1),(335,1),(381,1),(385,1)}
       360:{1,3,5,6}:{(326,1),(328,1),(336,1),(382,1),(385,1),(386,1),(414,1)}
       361:{1,3,4,6,7}:{(327,1),(328,1),(330,1),(331,1),(337,1),(383,1),(385,1),(387,1),(393,1),(415,1),(419,1),(425,1)}
       362:{2,4,6}:{(328,1),(329,1),(386,1),(388,1)}
       363:{2,3,5,7}:{(329,1),(333,1),(339,1),(388,1),(389,1),(390,1),(418,1)}
       364:{2,6,7}:{(330,1),(334,1)}
       365:{2,4,7}:{(331,1),(332,1),(334,1),(390,1)}
       366:{2,3,6}:{(332,1),(333,1),(344,1),(390,1)}
       367:{2,3,4}:{(333,1),(345,1)}
       368:{1,5,7}:{(335,1),(336,1),(337,1)}
       369:{1,2,5,6}:{(336,1),(338,1),(347,1),(386,1),(391,1),(392,1),(395,1)}
       370:{1,2,4,6,7}:{(337,1),(338,1),(340,1),(343,1),(348,1),(387,1),(391,1),(393,1),(419,1)}
       371:{1,3,6}:{(338,1),(339,1),(349,1),(388,1)}
       372:{1,3,4,7}:{(339,1),(342,1),(345,1),(350,1),(389,1),(394,1),(419,1)}
       373:{1,2,4,6}:{(341,1),(342,1),(394,1),(395,1)}
       374:{1,3,7}:{(343,1),(344,1),(351,1),(390,1)}
       375:{2,5,7}:{(346,1),(347,1),(348,1)}
       376:{2,3,5,6}:{(347,1),(349,1),(353,1),(392,1),(396,1),(397,1),(398,1)}
       377:{2,3,6,7}:{(348,1),(349,1),(351,1),(354,1),(393,1),(396,1)}
       378:{2,3,4,6}:{(349,1),(350,1),(394,1),(397,1),(398,1)}
       379:{3,5,7}:{(352,1),(353,1),(354,1),(399,1)}
       380:{3,4,6}:{(353,1),(397,1),(399,1),(400,1)}
       381:{2,4,5,7}:{(355,1),(356,1),(357,1),(359,1),(401,1),(411,1)}
       382:{1,4,5,6}:{(356,1),(360,1),(401,1),(402,1),(409,1)}
       383:{1,4,6,7}:{(357,1),(358,1),(401,1),(403,1)}
       384:{2,5,6,7}:{(358,1),(364,1),(403,1),(404,1)}
       385:{1,3,5,7}:{(359,1),(360,1),(361,1),(368,1),(401,1),(404,1),(421,1)}
       386:{2,5,6}:{(360,1),(362,1),(404,1)}
       387:{2,4,6,7}:{(361,1),(362,1),(364,1),(365,1),(404,1),(406,1),(423,1)}
       388:{2,3,6}:{(362,1),(363,1),(371,1)}
       389:{2,3,4,7}:{(363,1),(367,1),(372,1),(407,1),(423,1)}
       390:{2,3,7}:{(365,1),(366,1),(374,1)}
       391:{1,2,5,7}:{(368,1),(369,1),(370,1),(375,1),(404,1),(408,1)}
       392:{1,3,5,6}:{(369,1),(371,1),(376,1),(405,1),(408,1),(409,1),(410,1)}
       393:{1,3,6,7}:{(370,1),(371,1),(374,1),(377,1),(406,1),(408,1)}
       394:{1,3,4,6}:{(371,1),(372,1),(373,1),(378,1),(407,1),(409,1),(410,1)}
       395:{1,2,5}:{(373,1),(410,1)}
       396:{2,3,5,7}:{(375,1),(376,1),(377,1),(379,1),(408,1),(411,1)}
       397:{2,4,6}:{(376,1),(380,1),(409,1),(411,1),(412,1)}
       398:{2,3,5}:{(378,1),(410,1),(412,1)}
       399:{3,4,7}:{(379,1),(380,1),(411,1)}
       400:{3,4,5}:{(380,1),(412,1)}
       401:{1,4,5,7}:{(381,1),(382,1),(383,1),(385,1),(413,1),(419,1)}
       402:{2,4,5,6}:{(382,1),(386,1),(413,1),(414,1),(417,1)}
       403:{2,4,6,7}:{(383,1),(384,1),(413,1),(415,1)}
       404:{2,5,7}:{(385,1),(386,1),(387,1)}
       405:{2,3,5,6}:{(386,1),(388,1),(392,1),(414,1),(416,1),(417,1),(418,1)}
       406:{2,3,6,7}:{(387,1),(388,1),(390,1),(393,1),(415,1),(416,1)}
       407:{2,3,4,6}:{(388,1),(389,1),(394,1),(417,1),(418,1)}
       408:{1,3,5,7}:{(391,1),(392,1),(393,1),(396,1),(416,1),(419,1)}
       409:{1,4,6}:{(392,1),(397,1),(417,1),(419,1),(420,1)}
       410:{1,3,5}:{(394,1),(395,1),(398,1),(418,1),(420,1)}
       411:{2,4,7}:{(396,1),(397,1),(399,1),(419,1)}
       412:{2,4,5}:{(397,1),(398,1),(400,1),(420,1)}
       413:{2,4,5,7}:{(401,1),(402,1),(403,1),(404,1),(421,1),(423,1)}
       414:{3,5,6}:{(402,1),(421,1),(422,1)}
       415:{3,6,7}:{(403,1),(421,1)}
       416:{2,3,5,7}:{(404,1),(405,1),(406,1),(408,1),(421,1),(423,1)}
       417:{2,4,6}:{(405,1),(409,1),(422,1),(423,1),(424,1)}
       418:{2,3,5}:{(407,1),(410,1),(424,1)}
       419:{1,4,7}:{(408,1),(409,1),(411,1),(423,1)}
       420:{1,4,5}:{(409,1),(410,1),(412,1),(424,1)}
       421:{3,5,7}:{(413,1),(414,1),(415,1),(425,1)}
       422:{3,4,6}:{(414,1),(417,1),(425,1),(426,1)}
       423:{2,4,7}:{(416,1),(417,1),(419,1),(425,1)}
       424:{2,4,5}:{(417,1),(418,1),(420,1),(426,1)}
       425:{3,4,7}:{(421,1),(422,1),(423,1)}
       426:{3,4,5}:{(422,1),(424,1)}

2653 :   0:{2,3,4,5}:{(3,1),(4,1),(63,1),(112,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(149,1),(167,1)}
         2:{1,2,3,5}:{(8,1),(9,1),(42,1),(43,1)}
         3:{1,3,4,5}:{(0,1),(12,1),(13,1),(43,1),(52,1),(93,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(13,1),(14,1),(91,1),(136,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(15,1),(16,1),(136,1),(164,1)}
         6:{3,4,5,7}:{(1,1),(16,1),(17,1),(161,1),(172,1)}
         7:{2,3,4,5}:{(18,1),(19,1),(27,1),(72,1)}
         8:{1,2,3,6}:{(2,1),(20,1),(21,1),(70,1)}
         9:{1,2,4}:{(2,1),(22,1)}
        10:{2,3,5,6}:{(4,1),(5,1),(25,1),(26,1)}
        11:{2,3,4}:{(22,1),(27,1)}
        12:{2,4,5}:{(3,1),(27,1),(28,1)}
        13:{1,3,4,6}:{(3,1),(4,1),(25,1),(28,1),(29,1),(70,1),(79,1),(119,1)}
        14:{2,3,4,7}:{(4,1),(26,1),(29,1),(117,1),(154,1)}
        15:{1,4,5,6}:{(5,1),(25,1),(30,1),(31,1),(119,1),(156,1)}
        16:{2,4,5,7}:{(5,1),(6,1),(26,1),(31,1),(32,1),(154,1),(170,1)}
        17:{3,4,6,7}:{(6,1),(32,1),(33,1)}
        18:{1,3,4,5}:{(7,1),(37,1),(38,1),(43,1),(93,1),(129,1)}
        19:{2,3,4,6}:{(7,1),(35,1),(38,1),(39,1),(50,1),(100,1)}
        20:{1,2,3,7}:{(8,1),(41,1),(98,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(40,1),(41,1),(42,1),(96,1)}
        22:{1,3,4}:{(9,1),(11,1),(36,1),(43,1)}
        23:{1,2,4,5}:{(9,1),(12,1),(37,1),(42,1),(43,1),(44,1),(93,1)}
        24:{2,3,4,6}:{(11,1),(40,1),(45,1),(46,1),(50,1),(100,1),(101,1)}
        25:{1,3,5,6}:{(10,1),(13,1),(15,1),(47,1),(48,1),(53,1)}
        26:{2,3,5,7}:{(10,1),(14,1),(16,1),(48,1),(49,1)}
        27:{2,3,5}:{(11,1),(12,1),(43,1),(50,1)}
        28:{2,4,6}:{(12,1),(13,1),(47,1),(50,1),(51,1)}
        29:{1,3,4,7}:{(13,1),(14,1),(48,1),(51,1),(98,1),(105,1),(141,1)}
        30:{2,4,5,6}:{(15,1),(47,1),(53,1),(54,1),(100,1),(143,1),(145,1)}
        31:{1,4,5,7}:{(15,1),(16,1),(48,1),(54,1),(55,1),(141,1),(166,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(49,1),(55,1),(56,1)}
        33:{3,5,6,7}:{(17,1),(56,1),(57,1),(172,1)}
        34:{3,4,5,6}:{(58,1),(59,1),(79,1),(126,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(61,1),(62,1)}
        36:{2,3,4}:{(22,1),(63,1)}
        37:{2,4,5}:{(18,1),(63,1),(64,1)}
        38:{1,3,4,6}:{(18,1),(19,1),(61,1),(64,1),(65,1),(70,1),(119,1),(149,1)}
        39:{2,3,4,7}:{(19,1),(62,1),(65,1),(77,1),(124,1)}
        40:{1,3,4,6}:{(21,1),(22,1),(24,1),(60,1),(66,1),(67,1),(70,1),(119,1),(120,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(66,1),(68,1)}
        42:{1,2,5}:{(21,1),(67,1)}
        43:{1,3,5}:{(22,1),(23,1),(27,1),(63,1),(70,1)}
        44:{1,2,4,6}:{(23,1),(28,1),(64,1),(69,1),(70,1),(71,1),(119,1)}
        45:{2,3,4,7}:{(24,1),(66,1),(73,1),(77,1),(124,1)}
        46:{2,3,5}:{(24,1),(67,1),(72,1)}
        47:{2,5,6}:{(25,1),(28,1),(75,1)}
        48:{1,3,5,7}:{(25,1),(26,1),(29,1),(31,1),(75,1),(76,1),(80,1)}
        49:{2,3,6,7}:{(26,1),(32,1),(76,1)}
        50:{2,3,6}:{(27,1),(28,1),(70,1),(77,1)}
        51:{2,4,7}:{(28,1),(29,1),(75,1),(77,1)}
        52:{3,4,5}:{(72,1),(79,1)}
        53:{3,5,6}:{(30,1),(79,1),(80,1)}
        54:{2,4,5,7}:{(30,1),(31,1),(75,1),(80,1),(81,1),(124,1),(158,1),(159,1)}
        55:{1,4,6,7}:{(31,1),(32,1),(76,1),(81,1),(82,1)}
        56:{2,5,6,7}:{(32,1),(33,1),(82,1),(170,1)}
        57:{4,5,6,7}:{(33,1),(174,1)}
        58:{2,4,5,6}:{(34,1),(35,1),(83,1),(84,1),(100,1),(143,1)}
        59:{3,4,5,7}:{(34,1),(84,1),(85,1),(105,1),(146,1)}
        60:{2,3,4,6}:{(36,1),(40,1),(86,1),(87,1),(91,1),(136,1),(137,1)}
        61:{1,3,5,6}:{(35,1),(38,1),(83,1),(88,1),(89,1),(130,1)}
        62:{2,3,5,7}:{(35,1),(39,1),(84,1),(89,1),(90,1)}
        63:{2,3,5}:{(36,1),(37,1),(43,1),(91,1)}
        64:{2,4,6}:{(37,1),(38,1),(88,1),(91,1),(92,1)}
        65:{1,3,4,7}:{(38,1),(39,1),(89,1),(92,1),(98,1),(141,1),(161,1)}
        66:{1,3,4,7}:{(40,1),(41,1),(45,1),(86,1),(94,1),(98,1),(141,1)}
        67:{1,3,5}:{(40,1),(42,1),(46,1),(87,1),(93,1)}
        68:{1,2,5,7}:{(41,1),(42,1),(94,1),(96,1)}
        69:{1,2,5,6}:{(42,1),(44,1),(47,1),(88,1),(95,1),(96,1),(97,1)}
        70:{1,3,6}:{(43,1),(44,1),(50,1),(91,1),(98,1)}
        71:{1,2,4,7}:{(44,1),(51,1),(92,1),(97,1),(98,1),(141,1)}
        72:{2,4,5}:{(46,1),(52,1),(93,1),(100,1)}
        73:{2,3,5,7}:{(45,1),(46,1),(94,1),(99,1),(101,1)}
        74:{2,3,5,6}:{(46,1),(47,1),(50,1),(53,1),(95,1),(100,1),(101,1),(102,1),(143,1)}
        75:{2,5,7}:{(47,1),(48,1),(51,1),(103,1)}
        76:{1,3,6,7}:{(48,1),(49,1),(55,1),(103,1),(106,1)}
        77:{2,3,7}:{(50,1),(51,1),(98,1)}
        78:{3,4,5,7}:{(52,1),(99,1),(104,1),(105,1),(146,1)}
        79:{3,4,6}:{(52,1),(53,1),(100,1),(105,1)}
        80:{3,5,7}:{(53,1),(54,1),(105,1),(106,1)}
        81:{2,4,6,7}:{(54,1),(55,1),(103,1),(106,1),(107,1),(147,1)}
        82:{1,5,6,7}:{(55,1),(56,1),(107,1),(166,1)}
        83:{1,4,5,6}:{(58,1),(61,1),(108,1),(109,1),(119,1),(156,1)}
        84:{2,4,5,7}:{(58,1),(59,1),(62,1),(109,1),(110,1),(124,1),(158,1)}
        85:{3,4,6,7}:{(59,1),(110,1),(111,1)}
        86:{2,3,4,7}:{(60,1),(66,1),(113,1),(117,1),(154,1)}
        87:{2,3,5}:{(60,1),(67,1),(112,1)}
        88:{2,5,6}:{(61,1),(64,1),(115,1)}
        89:{1,3,5,7}:{(61,1),(62,1),(65,1),(109,1),(115,1),(116,1),(150,1)}
        90:{2,3,6,7}:{(62,1),(110,1),(116,1)}
        91:{2,3,6}:{(63,1),(64,1),(70,1),(117,1)}
        92:{2,4,7}:{(64,1),(65,1),(115,1),(117,1)}
        93:{1,4,5}:{(67,1),(72,1),(112,1),(119,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(68,1),(73,1),(113,1),(118,1),(120,1)}
        95:{1,3,5,6}:{(67,1),(69,1),(70,1),(74,1),(114,1),(119,1),(120,1),(121,1),(156,1)}
        96:{1,2,6}:{(68,1),(120,1)}
        97:{1,2,5,7}:{(69,1),(71,1),(75,1),(115,1),(121,1),(122,1)}
        98:{1,3,7}:{(70,1),(71,1),(77,1),(117,1)}
        99:{2,4,5,7}:{(72,1),(73,1),(78,1),(118,1),(123,1),(124,1),(158,1)}
       100:{2,4,6}:{(72,1),(74,1),(79,1),(119,1),(124,1)}
       101:{2,3,6}:{(73,1),(120,1),(123,1)}
       102:{2,3,5,7}:{(74,1),(75,1),(77,1),(80,1),(121,1),(124,1),(125,1),(158,1)}
       103:{2,6,7}:{(75,1),(76,1)}
       104:{3,4,6}:{(78,1),(123,1),(126,1)}
       105:{3,4,7}:{(79,1),(80,1),(124,1)}
       106:{3,6,7}:{(80,1),(81,1)}
       107:{2,5,6,7}:{(81,1),(82,1),(128,1),(158,1)}
       108:{2,4,5,6}:{(83,1),(88,1),(130,1),(131,1),(136,1),(164,1),(171,1)}
       109:{1,4,5,7}:{(83,1),(84,1),(89,1),(131,1),(132,1),(141,1),(166,1)}
       110:{2,4,6,7}:{(84,1),(85,1),(90,1),(132,1),(133,1)}
       111:{3,5,6,7}:{(85,1),(133,1),(134,1),(146,1)}
       112:{2,4,5}:{(87,1),(93,1),(129,1),(136,1)}
       113:{2,3,5,7}:{(86,1),(87,1),(94,1),(135,1),(137,1)}
       114:{2,3,5,6}:{(87,1),(88,1),(91,1),(95,1),(130,1),(136,1),(137,1),(138,1),(164,1)}
       115:{2,5,7}:{(88,1),(89,1),(92,1),(139,1)}
       116:{1,3,6,7}:{(89,1),(90,1),(132,1),(139,1),(162,1)}
       117:{2,3,7}:{(91,1),(92,1),(98,1)}
       118:{1,4,5,7}:{(93,1),(94,1),(99,1),(135,1),(140,1),(141,1),(166,1)}
       119:{1,4,6}:{(93,1),(95,1),(100,1),(136,1),(141,1)}
       120:{1,3,6}:{(94,1),(96,1),(101,1),(137,1),(140,1)}
       121:{1,3,5,7}:{(95,1),(97,1),(98,1),(102,1),(138,1),(141,1),(142,1),(166,1)}
       122:{1,2,6,7}:{(96,1),(97,1),(103,1),(139,1),(142,1)}
       123:{2,4,6}:{(99,1),(101,1),(104,1),(140,1),(143,1)}
       124:{2,4,7}:{(100,1),(102,1),(105,1),(141,1)}
       125:{2,3,6,7}:{(101,1),(102,1),(103,1),(106,1),(142,1),(144,1)}
       126:{3,5,6}:{(104,1),(143,1),(145,1),(146,1)}
       127:{3,4,6,7}:{(104,1),(105,1),(106,1),(144,1),(146,1),(147,1)}
       128:{3,5,6,7}:{(106,1),(107,1),(146,1),(147,1)}
       129:{3,4,5}:{(112,1),(149,1)}
       130:{3,5,6}:{(108,1),(149,1),(150,1)}
       131:{2,4,5,7}:{(108,1),(109,1),(115,1),(150,1),(151,1),(154,1),(170,1),(174,1)}
       132:{1,4,6,7}:{(109,1),(110,1),(116,1),(151,1),(152,1)}
       133:{2,5,6,7}:{(110,1),(111,1),(152,1),(158,1)}
       134:{4,5,6,7}:{(111,1),(159,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(118,1),(148,1),(153,1),(154,1),(170,1)}
       136:{2,4,6}:{(112,1),(114,1),(119,1),(149,1),(154,1)}
       137:{2,3,6}:{(113,1),(120,1),(153,1)}
       138:{2,3,5,7}:{(114,1),(115,1),(117,1),(121,1),(150,1),(154,1),(155,1),(170,1)}
       139:{2,6,7}:{(115,1),(116,1)}
       140:{1,4,6}:{(118,1),(120,1),(123,1),(153,1),(156,1)}
       141:{1,4,7}:{(119,1),(121,1),(124,1),(154,1)}
       142:{1,3,6,7}:{(120,1),(121,1),(122,1),(125,1),(155,1),(157,1)}
       143:{2,5,6}:{(123,1),(126,1),(156,1),(158,1)}
       144:{2,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(157,1),(158,1)}
       145:{4,5,6}:{(126,1),(159,1)}
       146:{3,5,7}:{(126,1),(127,1),(158,1),(159,1)}
       147:{4,6,7}:{(128,1),(159,1)}
       148:{3,4,5,7}:{(129,1),(135,1),(160,1),(161,1),(172,1)}
       149:{3,4,6}:{(129,1),(130,1),(136,1),(161,1)}
       150:{3,5,7}:{(130,1),(131,1),(161,1),(162,1)}
       151:{2,4,6,7}:{(131,1),(132,1),(139,1),(162,1),(163,1),(173,1)}
       152:{1,5,6,7}:{(132,1),(133,1),(163,1),(166,1)}
       153:{2,4,6}:{(135,1),(137,1),(140,1),(160,1),(164,1)}
       154:{2,4,7}:{(136,1),(138,1),(141,1),(161,1)}
       155:{2,3,6,7}:{(137,1),(138,1),(139,1),(142,1),(162,1),(165,1)}
       156:{1,5,6}:{(140,1),(143,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(140,1),(141,1),(142,1),(144,1),(165,1),(166,1)}
       158:{2,5,7}:{(143,1),(144,1),(146,1),(166,1)}
       159:{4,5,7}:{(145,1),(146,1),(147,1)}
       160:{3,4,6}:{(148,1),(153,1),(167,1)}
       161:{3,4,7}:{(149,1),(150,1),(154,1)}
       162:{3,6,7}:{(150,1),(151,1)}
       163:{2,5,6,7}:{(151,1),(152,1),(169,1),(170,1)}
       164:{2,5,6}:{(153,1),(156,1),(167,1),(170,1)}
       165:{2,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(168,1),(170,1)}
       166:{1,5,7}:{(156,1),(157,1),(158,1),(170,1)}
       167:{3,5,6}:{(160,1),(164,1),(171,1),(172,1)}
       168:{3,4,6,7}:{(160,1),(161,1),(162,1),(165,1),(172,1),(173,1)}
       169:{3,5,6,7}:{(162,1),(163,1),(172,1),(173,1)}
       170:{2,5,7}:{(164,1),(165,1),(166,1),(172,1)}
       171:{4,5,6}:{(167,1),(174,1)}
       172:{3,5,7}:{(167,1),(168,1),(170,1),(174,1)}
       173:{4,6,7}:{(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2654 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(142,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(139,1),(173,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(77,1),(122,1)}
         3:{1,3,4,5}:{(0,1),(9,1),(10,1),(34,1),(93,1),(127,1)}
         4:{3,4,5,7}:{(1,1),(12,1),(13,1),(153,1),(169,1)}
         5:{2,4,5,6}:{(1,1),(7,1),(13,1),(14,1),(122,1),(171,1)}
         6:{2,3,4,5}:{(15,1),(16,1),(23,1),(111,1)}
         7:{2,3,5,6}:{(2,1),(5,1),(19,1),(20,1)}
         8:{2,3,4,7}:{(2,1),(19,1),(21,1),(101,1),(141,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(56,1),(68,1),(105,1)}
        10:{2,4,5}:{(3,1),(22,1),(23,1)}
        11:{4,5,6,7}:{(24,1),(172,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(25,1)}
        13:{2,4,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(141,1),(165,1)}
        14:{1,4,5,6}:{(5,1),(20,1),(26,1),(27,1),(105,1),(167,1)}
        15:{2,3,4,6}:{(6,1),(29,1),(30,1),(31,1),(41,1),(87,1)}
        16:{1,3,4,5}:{(6,1),(31,1),(32,1),(34,1),(127,1),(154,1)}
        17:{1,2,4,5}:{(10,1),(32,1),(33,1),(34,1),(36,1),(84,1),(127,1)}
        18:{1,2,3,5}:{(34,1),(35,1),(36,1),(84,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(13,1),(37,1),(38,1)}
        20:{1,3,5,6}:{(7,1),(9,1),(14,1),(38,1),(39,1),(46,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(38,1),(40,1),(81,1),(92,1),(126,1)}
        22:{2,4,6}:{(9,1),(10,1),(39,1),(40,1),(41,1)}
        23:{2,3,5}:{(10,1),(34,1),(41,1),(42,1)}
        24:{3,5,6,7}:{(11,1),(12,1),(43,1),(169,1)}
        25:{2,4,6,7}:{(12,1),(13,1),(37,1),(43,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(38,1),(44,1),(45,1),(126,1),(158,1)}
        27:{2,4,5,6}:{(14,1),(39,1),(45,1),(46,1),(87,1),(160,1),(161,1)}
        28:{3,4,5,6}:{(47,1),(48,1),(68,1),(150,1)}
        29:{2,3,5,6}:{(15,1),(48,1),(49,1),(50,1)}
        30:{2,3,4,7}:{(15,1),(49,1),(51,1),(63,1),(110,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(50,1),(51,1),(52,1),(56,1),(105,1),(139,1)}
        32:{2,4,5}:{(16,1),(52,1),(53,1)}
        33:{1,2,4,6}:{(17,1),(22,1),(52,1),(54,1),(55,1),(56,1),(105,1)}
        34:{1,3,5}:{(17,1),(23,1),(53,1),(56,1),(57,1)}
        35:{1,2,3,6}:{(18,1),(56,1),(58,1),(59,1)}
        36:{1,2,4}:{(18,1),(57,1)}
        37:{2,3,6,7}:{(19,1),(25,1),(60,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(26,1),(60,1),(61,1),(67,1)}
        39:{2,5,6}:{(20,1),(22,1),(61,1)}
        40:{2,4,7}:{(21,1),(22,1),(61,1),(63,1)}
        41:{2,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        42:{2,3,4}:{(23,1),(57,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(165,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(60,1),(65,1),(66,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(61,1),(66,1),(67,1),(110,1),(147,1),(149,1)}
        46:{3,5,6}:{(27,1),(67,1),(68,1)}
        47:{3,4,5,7}:{(28,1),(70,1),(71,1),(92,1),(134,1)}
        48:{2,4,5,6}:{(28,1),(29,1),(71,1),(72,1),(87,1),(160,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(71,1),(73,1),(74,1)}
        50:{1,3,5,6}:{(29,1),(31,1),(72,1),(74,1),(75,1),(119,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(74,1),(76,1),(81,1),(126,1),(153,1)}
        52:{2,4,6}:{(31,1),(32,1),(75,1),(76,1),(77,1)}
        53:{2,3,5}:{(32,1),(34,1),(77,1),(78,1)}
        54:{1,2,5,6}:{(33,1),(39,1),(75,1),(79,1),(80,1),(84,1),(129,1)}
        55:{1,2,4,7}:{(33,1),(40,1),(76,1),(79,1),(81,1),(126,1)}
        56:{1,3,6}:{(33,1),(34,1),(41,1),(77,1),(81,1)}
        57:{1,3,4}:{(34,1),(36,1),(42,1),(78,1)}
        58:{1,2,3,7}:{(35,1),(81,1),(83,1)}
        59:{1,2,4,6}:{(35,1),(36,1),(82,1),(83,1),(84,1),(129,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(44,1),(85,1),(91,1)}
        61:{2,5,7}:{(38,1),(39,1),(40,1),(85,1)}
        62:{2,3,5,6}:{(39,1),(41,1),(46,1),(80,1),(86,1),(87,1),(89,1),(132,1),(160,1)}
        63:{2,3,7}:{(40,1),(41,1),(81,1)}
        64:{2,3,4,6}:{(41,1),(42,1),(82,1),(87,1),(88,1),(89,1),(132,1)}
        65:{1,5,6,7}:{(43,1),(44,1),(90,1),(158,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(91,1),(133,1)}
        67:{3,5,7}:{(45,1),(46,1),(91,1),(92,1)}
        68:{3,4,6}:{(46,1),(87,1),(92,1),(93,1)}
        69:{4,5,6,7}:{(94,1),(149,1)}
        70:{3,4,6,7}:{(47,1),(94,1),(95,1)}
        71:{2,4,5,7}:{(47,1),(48,1),(49,1),(95,1),(96,1),(110,1),(147,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(96,1),(97,1),(105,1),(167,1)}
        73:{2,3,6,7}:{(49,1),(95,1),(98,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(96,1),(98,1),(99,1),(138,1)}
        75:{2,5,6}:{(50,1),(52,1),(99,1)}
        76:{2,4,7}:{(51,1),(52,1),(99,1),(101,1)}
        77:{2,3,6}:{(52,1),(53,1),(56,1),(101,1)}
        78:{2,3,4}:{(53,1),(57,1)}
        79:{1,2,5,7}:{(54,1),(55,1),(61,1),(99,1),(103,1),(104,1)}
        80:{1,3,5,6}:{(54,1),(56,1),(62,1),(100,1),(104,1),(105,1),(107,1),(146,1),(167,1)}
        81:{1,3,7}:{(55,1),(56,1),(63,1),(101,1)}
        82:{1,3,4,6}:{(56,1),(57,1),(59,1),(64,1),(102,1),(105,1),(106,1),(107,1),(146,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(106,1),(108,1)}
        84:{1,2,5}:{(59,1),(107,1)}
        85:{2,6,7}:{(60,1),(61,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(63,1),(67,1),(104,1),(109,1),(110,1),(147,1)}
        87:{2,4,6}:{(62,1),(68,1),(105,1),(110,1),(111,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(106,1),(110,1),(112,1)}
        89:{2,3,5}:{(64,1),(107,1),(111,1)}
        90:{2,5,6,7}:{(65,1),(66,1),(113,1),(147,1)}
        91:{3,6,7}:{(66,1),(67,1)}
        92:{3,4,7}:{(67,1),(68,1),(110,1)}
        93:{3,4,5}:{(68,1),(111,1)}
        94:{3,5,6,7}:{(69,1),(70,1),(116,1),(134,1)}
        95:{2,4,6,7}:{(70,1),(71,1),(73,1),(116,1),(117,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(126,1),(158,1)}
        97:{2,4,5,6}:{(72,1),(75,1),(118,1),(119,1),(122,1),(171,1),(174,1)}
        98:{1,3,6,7}:{(73,1),(74,1),(117,1),(120,1),(152,1)}
        99:{2,5,7}:{(74,1),(75,1),(76,1),(120,1)}
       100:{2,3,5,6}:{(75,1),(77,1),(80,1),(119,1),(121,1),(122,1),(124,1),(157,1),(171,1)}
       101:{2,3,7}:{(76,1),(77,1),(81,1)}
       102:{2,3,4,6}:{(77,1),(78,1),(82,1),(122,1),(123,1),(124,1),(157,1)}
       103:{1,2,6,7}:{(79,1),(85,1),(120,1),(125,1),(129,1)}
       104:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(121,1),(125,1),(126,1),(158,1)}
       105:{1,4,6}:{(80,1),(87,1),(122,1),(126,1),(127,1)}
       106:{1,3,4,7}:{(81,1),(82,1),(83,1),(88,1),(123,1),(126,1),(128,1)}
       107:{1,3,5}:{(82,1),(84,1),(89,1),(124,1),(127,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(128,1),(129,1)}
       109:{2,3,6,7}:{(85,1),(86,1),(91,1),(125,1),(130,1),(132,1)}
       110:{2,4,7}:{(86,1),(87,1),(92,1),(126,1)}
       111:{2,4,5}:{(87,1),(89,1),(93,1),(127,1)}
       112:{2,3,5,7}:{(88,1),(89,1),(128,1),(131,1),(132,1)}
       113:{3,5,6,7}:{(90,1),(91,1),(133,1),(134,1)}
       114:{3,4,6,7}:{(91,1),(92,1),(130,1),(133,1),(134,1),(135,1)}
       115:{3,4,5,7}:{(92,1),(93,1),(131,1),(134,1),(135,1)}
       116:{2,5,6,7}:{(94,1),(95,1),(136,1),(147,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(136,1),(137,1)}
       118:{2,4,5,7}:{(96,1),(97,1),(99,1),(137,1),(138,1),(141,1),(165,1),(172,1)}
       119:{3,5,6}:{(97,1),(138,1),(139,1)}
       120:{2,6,7}:{(98,1),(99,1)}
       121:{2,3,5,7}:{(99,1),(100,1),(101,1),(104,1),(138,1),(140,1),(141,1),(165,1)}
       122:{2,4,6}:{(100,1),(105,1),(139,1),(141,1),(142,1)}
       123:{2,3,4,7}:{(101,1),(102,1),(106,1),(141,1),(143,1)}
       124:{2,3,5}:{(102,1),(107,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(104,1),(109,1),(140,1),(144,1),(146,1)}
       126:{1,4,7}:{(104,1),(105,1),(110,1),(141,1)}
       127:{1,4,5}:{(105,1),(107,1),(111,1),(142,1)}
       128:{1,3,5,7}:{(106,1),(107,1),(108,1),(112,1),(143,1),(145,1),(146,1)}
       129:{1,2,6}:{(108,1),(146,1)}
       130:{2,4,6,7}:{(109,1),(110,1),(114,1),(144,1),(147,1),(148,1)}
       131:{2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(145,1),(147,1),(148,1)}
       132:{2,3,6}:{(112,1),(146,1),(148,1)}
       133:{4,6,7}:{(113,1),(149,1)}
       134:{3,5,7}:{(114,1),(147,1),(149,1),(150,1)}
       135:{3,4,6}:{(115,1),(148,1),(150,1)}
       136:{1,5,6,7}:{(116,1),(117,1),(151,1),(158,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(120,1),(151,1),(152,1),(168,1)}
       138:{3,5,7}:{(118,1),(119,1),(152,1),(153,1)}
       139:{3,4,6}:{(119,1),(122,1),(153,1),(154,1)}
       140:{2,3,6,7}:{(120,1),(121,1),(125,1),(152,1),(155,1),(157,1)}
       141:{2,4,7}:{(121,1),(122,1),(126,1),(153,1)}
       142:{2,4,5}:{(122,1),(124,1),(127,1),(154,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(128,1),(156,1),(157,1)}
       144:{1,4,6,7}:{(125,1),(126,1),(130,1),(155,1),(158,1),(159,1)}
       145:{1,4,5,7}:{(126,1),(127,1),(128,1),(131,1),(156,1),(158,1),(159,1)}
       146:{1,3,6}:{(128,1),(129,1),(132,1),(157,1),(159,1)}
       147:{2,5,7}:{(130,1),(134,1),(158,1),(160,1)}
       148:{2,4,6}:{(131,1),(132,1),(135,1),(159,1),(160,1)}
       149:{4,5,7}:{(133,1),(134,1),(161,1)}
       150:{3,5,6}:{(134,1),(135,1),(160,1),(161,1)}
       151:{2,5,6,7}:{(136,1),(137,1),(162,1),(165,1)}
       152:{3,6,7}:{(137,1),(138,1)}
       153:{3,4,7}:{(138,1),(139,1),(141,1)}
       154:{3,4,5}:{(139,1),(142,1)}
       155:{2,4,6,7}:{(140,1),(141,1),(144,1),(163,1),(165,1),(166,1)}
       156:{2,4,5,7}:{(141,1),(142,1),(143,1),(145,1),(164,1),(165,1),(166,1)}
       157:{2,3,6}:{(143,1),(146,1),(166,1)}
       158:{1,5,7}:{(144,1),(147,1),(165,1),(167,1)}
       159:{1,4,6}:{(145,1),(146,1),(148,1),(166,1),(167,1)}
       160:{2,5,6}:{(147,1),(148,1),(150,1),(167,1)}
       161:{4,5,6}:{(149,1),(150,1)}
       162:{3,5,6,7}:{(151,1),(152,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(170,1)}
       164:{3,4,5,7}:{(153,1),(154,1),(156,1),(169,1),(170,1)}
       165:{2,5,7}:{(155,1),(158,1),(169,1),(171,1)}
       166:{2,4,6}:{(156,1),(157,1),(159,1),(170,1),(171,1)}
       167:{1,5,6}:{(158,1),(159,1),(160,1),(171,1)}
       168:{4,6,7}:{(162,1),(172,1)}
       169:{3,5,7}:{(163,1),(165,1),(172,1),(173,1)}
       170:{3,4,6}:{(164,1),(166,1),(173,1)}
       171:{2,5,6}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2655 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(103,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(50,1),(104,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(10,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(90,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(11,1),(13,1),(14,1),(63,1),(90,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(36,1),(60,1),(91,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(19,1),(100,1),(116,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(18,1),(20,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(75,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(22,1),(77,1),(100,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(45,1),(48,1),(75,1)}
        15:{2,4,5}:{(7,1),(23,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(10,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,4,5,7}:{(10,1),(12,1),(27,1),(29,1),(30,1),(87,1),(108,1)}
        20:{1,3,5,6}:{(11,1),(12,1),(14,1),(29,1),(31,1),(32,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(59,1),(85,1),(109,1)}
        22:{1,3,4,7}:{(13,1),(14,1),(29,1),(33,1),(57,1),(61,1),(87,1)}
        23:{2,4,6}:{(14,1),(15,1),(31,1),(33,1),(35,1)}
        24:{1,2,4,5}:{(15,1),(34,1),(36,1),(66,1),(91,1),(95,1)}
        25:{2,3,5}:{(15,1),(35,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(19,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(22,1),(38,1),(41,1),(42,1)}
        30:{2,4,5,7}:{(19,1),(21,1),(39,1),(41,1),(42,1),(70,1),(72,1),(98,1)}
        31:{2,5,6}:{(20,1),(23,1),(41,1)}
        32:{3,5,6}:{(21,1),(42,1),(45,1)}
        33:{2,4,7}:{(22,1),(23,1),(41,1),(47,1)}
        34:{1,2,4,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(75,1),(80,1)}
        35:{2,3,6}:{(23,1),(25,1),(47,1),(48,1)}
        36:{1,3,5}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4}:{(25,1),(51,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(30,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{2,5,7}:{(29,1),(31,1),(33,1),(52,1)}
        42:{3,5,7}:{(30,1),(32,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(31,1),(34,1),(55,1),(58,1),(95,1),(114,1)}
        44:{2,3,5,6}:{(31,1),(32,1),(35,1),(56,1),(58,1),(59,1),(65,1),(94,1),(109,1)}
        45:{3,4,6}:{(32,1),(57,1),(59,1),(60,1)}
        46:{1,2,4,7}:{(33,1),(34,1),(55,1),(61,1),(87,1),(92,1)}
        47:{2,3,7}:{(33,1),(35,1),(61,1)}
        48:{1,3,6}:{(34,1),(35,1),(36,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(35,1),(37,1),(59,1),(62,1),(64,1),(65,1),(94,1)}
        50:{2,3,5}:{(36,1),(63,1),(66,1),(95,1)}
        51:{1,3,4}:{(36,1),(37,1),(66,1)}
        52:{2,6,7}:{(38,1),(41,1)}
        53:{3,6,7}:{(39,1),(42,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(43,1),(46,1),(67,1),(71,1),(105,1)}
        56:{2,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(68,1),(71,1),(72,1),(98,1)}
        57:{3,4,7}:{(42,1),(45,1),(72,1)}
        58:{1,3,5,6}:{(43,1),(44,1),(48,1),(71,1),(74,1),(75,1),(81,1),(106,1),(117,1)}
        59:{2,4,6}:{(44,1),(45,1),(72,1),(75,1),(76,1)}
        60:{3,4,5}:{(45,1),(76,1)}
        61:{1,3,7}:{(46,1),(47,1),(48,1),(77,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(72,1),(78,1),(79,1)}
        63:{2,3,6}:{(48,1),(50,1),(77,1),(80,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(75,1),(78,1),(80,1),(81,1),(103,1),(106,1)}
        65:{2,3,5}:{(49,1),(76,1),(81,1)}
        66:{2,4}:{(50,1),(51,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(94,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(89,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{1,3,5,7}:{(55,1),(56,1),(58,1),(61,1),(82,1),(86,1),(87,1),(108,1)}
        72:{2,4,7}:{(56,1),(57,1),(59,1),(87,1)}
        73:{3,4,5,7}:{(57,1),(60,1),(84,1),(88,1),(89,1)}
        74:{2,3,5,6}:{(58,1),(63,1),(86,1),(90,1),(95,1),(113,1),(114,1),(121,1),(122,1)}
        75:{1,4,6}:{(58,1),(59,1),(87,1),(90,1),(91,1)}
        76:{2,4,5}:{(59,1),(60,1),(65,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(64,1),(87,1),(92,1),(93,1),(110,1)}
        79:{2,3,5,7}:{(62,1),(65,1),(88,1),(93,1),(94,1)}
        80:{2,4,6}:{(63,1),(64,1),(66,1),(92,1),(95,1),(114,1)}
        81:{1,3,5}:{(64,1),(65,1),(91,1),(95,1),(113,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(71,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(72,1),(97,1),(98,1),(102,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(74,1),(77,1),(96,1),(100,1),(105,1),(116,1),(118,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1),(100,1)}
        88:{2,4,5,7}:{(72,1),(73,1),(76,1),(79,1),(98,1),(101,1),(102,1)}
        89:{3,4,6}:{(73,1),(99,1),(102,1)}
        90:{2,4,6}:{(74,1),(75,1),(100,1),(103,1),(104,1)}
        91:{1,4,5}:{(75,1),(76,1),(81,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(80,1),(105,1)}
        93:{1,3,5,7}:{(78,1),(79,1),(81,1),(101,1),(105,1),(106,1),(118,1)}
        94:{2,3,6}:{(79,1),(102,1),(106,1)}
        95:{2,5}:{(80,1),(81,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(87,1),(107,1),(108,1),(112,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(89,1),(109,1)}
       100:{2,4,7}:{(86,1),(87,1),(90,1),(110,1)}
       101:{1,4,5,7}:{(87,1),(88,1),(91,1),(93,1),(108,1),(111,1),(112,1)}
       102:{2,4,6}:{(88,1),(89,1),(94,1),(109,1),(112,1)}
       103:{3,4,6}:{(90,1),(110,1),(113,1),(122,1)}
       104:{2,4,5}:{(90,1),(91,1),(95,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(95,1),(114,1)}
       106:{1,3,6}:{(93,1),(94,1),(112,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(100,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(102,1),(117,1)}
       110:{3,4,7}:{(100,1),(103,1),(118,1)}
       111:{2,4,5,7}:{(100,1),(101,1),(104,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       112:{1,4,6}:{(101,1),(102,1),(106,1),(117,1),(119,1)}
       113:{3,5}:{(103,1),(104,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(112,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(113,1),(122,1)}
       119:{2,4,6}:{(111,1),(112,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2656 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(12,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(18,1),(153,1)}
         3:{1,2,3,5,6}:{(1,1),(8,1),(9,1),(12,1),(13,1),(35,1)}
         4:{1,2,4,5}:{(1,1),(8,1),(10,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1),(151,1),(152,1)}
         6:{1,2,4,5,6}:{(8,1),(13,1),(14,1),(15,1),(35,1),(66,1)}
         7:{1,3,4,5,6}:{(13,1),(15,1),(16,1),(66,1),(96,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(17,1),(18,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(24,1),(46,1)}
        10:{1,3,4,5}:{(4,1),(17,1),(20,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(18,1),(21,1),(22,1),(46,1),(148,1),(149,1)}
        12:{1,2,3,6}:{(5,1),(22,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(23,1),(24,1)}
        14:{1,2,4,5,7}:{(6,1),(18,1),(24,1),(25,1),(27,1),(46,1),(77,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1)}
        16:{1,3,4,5,7}:{(7,1),(24,1),(27,1),(28,1),(77,1),(104,1)}
        17:{1,3,4,6}:{(8,1),(10,1),(13,1),(29,1),(30,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(30,1)}
        19:{1,2,3,6,7}:{(9,1),(12,1),(31,1),(38,1),(151,1)}
        20:{2,3,4,5}:{(10,1),(29,1),(32,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(30,1),(33,1),(34,1),(61,1),(144,1),(146,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(34,1),(35,1)}
        23:{2,3,5,6}:{(13,1),(15,1),(29,1),(36,1),(37,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(30,1),(37,1),(38,1)}
        25:{1,2,4,6,7}:{(14,1),(38,1),(39,1),(41,1),(70,1)}
        26:{1,4,5,6}:{(15,1),(36,1),(40,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(37,1),(40,1),(41,1)}
        28:{1,3,4,6,7}:{(16,1),(38,1),(41,1),(42,1),(70,1),(99,1)}
        29:{2,3,4,6}:{(17,1),(20,1),(23,1),(43,1),(44,1)}
        30:{1,3,4,7}:{(17,1),(18,1),(24,1),(44,1)}
        31:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(45,1),(46,1),(143,1),(148,1)}
        32:{1,3,4,5}:{(20,1),(43,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(44,1),(48,1),(49,1),(76,1),(138,1),(140,1)}
        34:{1,3,4,6}:{(21,1),(22,1),(49,1),(50,1)}
        35:{1,2,5,6}:{(22,1),(46,1),(50,1)}
        36:{1,3,5,6}:{(23,1),(26,1),(43,1),(51,1),(52,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(27,1),(44,1),(52,1),(53,1)}
        38:{1,3,6,7}:{(24,1),(25,1),(53,1)}
        39:{1,2,5,6,7}:{(25,1),(46,1),(54,1),(56,1),(143,1)}
        40:{1,4,5,7}:{(26,1),(27,1),(52,1),(55,1)}
        41:{2,4,6,7}:{(27,1),(28,1),(53,1),(55,1),(56,1)}
        42:{1,3,5,6,7}:{(28,1),(56,1),(57,1),(87,1)}
        43:{1,3,4,6}:{(29,1),(32,1),(36,1),(58,1),(59,1)}
        44:{2,3,4,7}:{(29,1),(30,1),(37,1),(59,1)}
        45:{1,3,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(60,1),(61,1),(70,1),(137,1),(144,1)}
        46:{1,2,5,7}:{(31,1),(35,1),(61,1)}
        47:{1,2,4,5}:{(32,1),(58,1),(62,1)}
        48:{1,3,4,5,7}:{(32,1),(33,1),(59,1),(63,1),(64,1),(90,1),(131,1),(134,1)}
        49:{2,3,4,6}:{(33,1),(34,1),(64,1),(65,1)}
        50:{1,3,5,6}:{(34,1),(35,1),(61,1),(65,1),(66,1)}
        51:{1,2,5,6}:{(36,1),(58,1),(67,1)}
        52:{1,3,5,7}:{(36,1),(37,1),(40,1),(59,1),(67,1),(68,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(41,1),(68,1)}
        54:{1,3,5,6,7}:{(38,1),(39,1),(61,1),(69,1),(70,1),(121,1),(137,1)}
        55:{1,4,6,7}:{(40,1),(41,1),(68,1),(71,1)}
        56:{2,5,6,7}:{(41,1),(42,1),(71,1)}
        57:{1,4,5,6,7}:{(42,1),(70,1),(72,1),(121,1)}
        58:{1,2,4,6}:{(43,1),(47,1),(51,1),(73,1),(74,1)}
        59:{1,3,4,7}:{(43,1),(44,1),(52,1),(74,1)}
        60:{2,3,4,6,7}:{(44,1),(45,1),(49,1),(53,1),(75,1),(76,1),(85,1),(129,1),(138,1)}
        61:{1,3,5,7}:{(45,1),(46,1),(50,1),(76,1),(77,1)}
        62:{1,2,3,5}:{(47,1),(73,1),(78,1)}
        63:{1,2,4,5,7}:{(47,1),(48,1),(74,1),(79,1),(80,1),(102,1),(122,1),(125,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(80,1),(81,1)}
        65:{2,3,5,6}:{(49,1),(50,1),(76,1),(81,1),(82,1)}
        66:{1,4,5,6}:{(50,1),(77,1),(82,1)}
        67:{1,2,5,7}:{(51,1),(52,1),(74,1),(83,1)}
        68:{1,3,6,7}:{(52,1),(53,1),(55,1),(83,1)}
        69:{2,3,5,6,7}:{(53,1),(54,1),(56,1),(76,1),(84,1),(85,1),(87,1),(111,1),(129,1)}
        70:{1,4,6,7}:{(54,1),(77,1),(85,1)}
        71:{1,5,6,7}:{(55,1),(56,1)}
        72:{2,4,5,6,7}:{(56,1),(57,1),(85,1),(86,1),(87,1),(111,1)}
        73:{1,2,3,6}:{(58,1),(62,1),(88,1)}
        74:{1,2,4,7}:{(58,1),(59,1),(67,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(68,1),(89,1),(90,1),(98,1),(119,1),(131,1)}
        76:{2,3,5,7}:{(60,1),(61,1),(65,1),(90,1),(91,1)}
        77:{1,4,5,7}:{(61,1),(66,1),(70,1),(91,1)}
        78:{1,2,3,4}:{(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(92,1),(93,1),(115,1)}
        80:{1,2,4,6}:{(63,1),(64,1),(93,1),(94,1)}
        81:{1,3,5,6}:{(64,1),(65,1),(90,1),(94,1),(95,1)}
        82:{2,4,5,6}:{(65,1),(66,1),(91,1),(95,1),(96,1)}
        83:{1,2,6,7}:{(67,1),(68,1)}
        84:{1,3,5,6,7}:{(68,1),(69,1),(71,1),(90,1),(97,1),(98,1),(119,1)}
        85:{2,4,6,7}:{(69,1),(70,1),(91,1),(98,1),(99,1)}
        86:{1,4,5,6,7}:{(71,1),(72,1),(98,1),(100,1)}
        87:{3,5,6,7}:{(72,1),(99,1)}
        88:{1,2,3,7}:{(73,1),(74,1)}
        89:{1,2,4,6,7}:{(74,1),(75,1),(80,1),(83,1),(101,1),(102,1),(122,1)}
        90:{1,3,5,7}:{(75,1),(76,1),(81,1),(102,1),(103,1)}
        91:{2,4,5,7}:{(76,1),(77,1),(82,1),(85,1),(103,1),(104,1)}
        92:{1,2,3,4,7}:{(78,1),(79,1),(105,1),(122,1)}
        93:{1,2,3,6}:{(79,1),(80,1)}
        94:{1,2,5,6}:{(80,1),(81,1),(102,1)}
        95:{1,4,5,6}:{(81,1),(82,1),(103,1)}
        96:{3,4,5,6}:{(82,1),(104,1)}
        97:{1,2,5,6,7}:{(83,1),(84,1),(102,1),(109,1),(111,1)}
        98:{1,4,6,7}:{(84,1),(85,1),(103,1)}
        99:{3,4,6,7}:{(85,1),(87,1),(104,1)}
       100:{1,3,5,6,7}:{(86,1),(87,1),(110,1),(111,1)}
       101:{1,2,3,6,7}:{(88,1),(89,1),(93,1),(112,1),(119,1)}
       102:{1,2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,4,5,7}:{(90,1),(91,1),(95,1),(98,1)}
       104:{3,4,5,7}:{(91,1),(96,1),(99,1)}
       105:{1,2,3,4,6}:{(92,1),(93,1),(115,1),(116,1)}
       106:{1,2,3,5,6}:{(93,1),(94,1),(112,1),(115,1),(116,1),(117,1)}
       107:{1,2,4,5,6}:{(94,1),(95,1),(113,1),(116,1),(117,1),(118,1)}
       108:{1,3,4,5,6}:{(95,1),(96,1),(114,1),(117,1),(118,1)}
       109:{1,2,4,6,7}:{(97,1),(98,1),(113,1),(119,1),(120,1)}
       110:{1,3,4,6,7}:{(98,1),(99,1),(100,1),(114,1),(119,1),(120,1)}
       111:{2,5,6,7}:{(100,1),(120,1),(121,1)}
       112:{1,2,3,5,7}:{(101,1),(102,1),(106,1),(122,1),(123,1)}
       113:{1,2,4,5,7}:{(102,1),(103,1),(107,1),(109,1),(122,1),(123,1),(124,1)}
       114:{1,3,4,5,7}:{(103,1),(104,1),(108,1),(110,1),(123,1),(124,1)}
       115:{1,2,3,5}:{(105,1),(125,1)}
       116:{1,2,4,6}:{(106,1),(122,1),(125,1),(126,1)}
       117:{1,3,5,6}:{(107,1),(123,1),(126,1),(127,1)}
       118:{2,4,5,6}:{(108,1),(124,1),(127,1),(128,1)}
       119:{1,3,6,7}:{(109,1),(123,1),(129,1)}
       120:{2,4,6,7}:{(110,1),(111,1),(124,1),(129,1),(130,1)}
       121:{1,5,6,7}:{(111,1),(130,1)}
       122:{1,2,4,7}:{(112,1),(116,1),(131,1)}
       123:{1,3,5,7}:{(113,1),(117,1),(119,1),(131,1),(132,1)}
       124:{2,4,5,7}:{(114,1),(118,1),(120,1),(132,1),(133,1)}
       125:{1,2,4,5}:{(115,1),(116,1),(134,1)}
       126:{1,3,4,6}:{(116,1),(117,1),(131,1),(134,1),(135,1)}
       127:{2,3,5,6}:{(117,1),(118,1),(132,1),(135,1),(136,1)}
       128:{1,4,5,6}:{(118,1),(133,1),(136,1)}
       129:{2,3,6,7}:{(119,1),(120,1),(132,1),(137,1)}
       130:{1,4,6,7}:{(120,1),(121,1),(133,1),(137,1)}
       131:{1,3,4,7}:{(122,1),(123,1),(126,1),(138,1)}
       132:{2,3,5,7}:{(123,1),(124,1),(127,1),(129,1),(138,1),(139,1)}
       133:{1,4,5,7}:{(124,1),(128,1),(130,1),(139,1)}
       134:{1,3,4,5}:{(125,1),(126,1),(140,1)}
       135:{2,3,4,6}:{(126,1),(127,1),(138,1),(140,1),(141,1)}
       136:{1,3,5,6}:{(127,1),(128,1),(139,1),(141,1),(142,1)}
       137:{1,3,6,7}:{(129,1),(130,1),(139,1),(143,1)}
       138:{2,3,4,7}:{(131,1),(132,1),(135,1),(144,1)}
       139:{1,3,5,7}:{(132,1),(133,1),(136,1),(137,1),(144,1),(145,1)}
       140:{2,3,4,5}:{(134,1),(135,1),(146,1)}
       141:{1,3,4,6}:{(135,1),(136,1),(144,1),(146,1),(147,1)}
       142:{1,2,5,6}:{(136,1),(145,1),(147,1)}
       143:{1,2,6,7}:{(137,1),(145,1)}
       144:{1,3,4,7}:{(138,1),(139,1),(141,1),(148,1)}
       145:{1,2,5,7}:{(139,1),(142,1),(143,1),(148,1)}
       146:{1,3,4,5}:{(140,1),(141,1),(149,1)}
       147:{1,2,4,6}:{(141,1),(142,1),(148,1),(149,1),(150,1)}
       148:{1,2,4,7}:{(144,1),(145,1),(147,1),(151,1)}
       149:{1,2,4,5}:{(146,1),(147,1),(152,1)}
       150:{1,2,3,6}:{(147,1),(151,1),(152,1)}
       151:{1,2,3,7}:{(148,1),(150,1)}
       152:{1,2,3,5}:{(149,1),(150,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2657 :   0:{1,2,3,5,7}:{(3,1),(4,1),(5,1),(26,1)}
         1:{1,2,4,5,7}:{(3,1),(5,1),(6,1),(7,1),(21,1),(26,1),(53,1),(59,1)}
         2:{1,3,4,5,7}:{(5,1),(7,1),(8,1),(23,1),(53,1),(59,1),(83,1),(88,1)}
         3:{1,2,4,7}:{(0,1),(11,1),(12,1),(121,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(14,1),(125,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(42,1)}
         6:{1,2,4,6}:{(1,1),(14,1),(15,1),(17,1),(46,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(16,1),(17,1),(38,1),(69,1),(75,1)}
         8:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(46,1),(78,1)}
         9:{1,2,4,6,7}:{(6,1),(20,1),(21,1),(22,1),(53,1)}
        10:{1,3,4,6,7}:{(8,1),(20,1),(22,1),(23,1),(34,1),(53,1),(66,1),(83,1)}
        11:{1,3,4,7}:{(3,1),(5,1),(24,1),(25,1),(53,1),(117,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(25,1),(26,1),(120,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(7,1),(24,1),(27,1),(28,1),(58,1)}
        14:{1,3,6}:{(5,1),(6,1),(28,1)}
        15:{1,2,5,6}:{(6,1),(21,1),(26,1),(29,1),(31,1),(120,1)}
        16:{1,4,5,7}:{(7,1),(27,1),(30,1),(54,1),(82,1),(87,1)}
        17:{2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1)}
        18:{1,3,5,6}:{(8,1),(23,1),(31,1),(32,1),(64,1)}
        19:{1,3,5,6,7}:{(23,1),(33,1),(34,1),(66,1)}
        20:{1,3,6,7}:{(9,1),(14,1),(35,1),(36,1),(102,1)}
        21:{1,2,5,7}:{(9,1),(15,1),(36,1),(38,1),(121,1)}
        22:{2,4,6,7}:{(10,1),(17,1),(35,1),(37,1),(38,1),(69,1)}
        23:{1,3,5,7}:{(10,1),(18,1),(38,1),(39,1),(71,1)}
        24:{2,3,4,7}:{(11,1),(13,1),(40,1),(41,1),(69,1),(111,1)}
        25:{1,3,4,6}:{(11,1),(12,1),(14,1),(41,1),(42,1),(46,1),(116,1),(122,1)}
        26:{1,2,5}:{(12,1),(42,1)}
        27:{1,3,5,7}:{(13,1),(16,1),(40,1),(43,1),(44,1),(74,1)}
        28:{2,3,6}:{(13,1),(14,1),(17,1),(44,1)}
        29:{1,3,5,6}:{(14,1),(15,1),(36,1),(42,1),(45,1),(46,1),(101,1),(116,1)}
        30:{1,4,6}:{(16,1),(17,1),(44,1),(47,1)}
        31:{2,5,6}:{(17,1),(18,1),(38,1),(47,1)}
        32:{1,4,5,6}:{(18,1),(39,1),(46,1),(48,1),(101,1)}
        33:{2,5,6,7}:{(19,1),(38,1),(49,1),(50,1)}
        34:{1,4,6,7}:{(19,1),(39,1),(50,1),(102,1)}
        35:{2,3,6,7}:{(20,1),(22,1),(28,1),(51,1),(52,1),(66,1),(92,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(29,1),(52,1),(53,1),(105,1),(117,1)}
        37:{1,4,6,7}:{(22,1),(30,1),(51,1),(54,1),(82,1)}
        38:{2,5,7}:{(22,1),(23,1),(31,1),(54,1)}
        39:{1,4,5,7}:{(23,1),(32,1),(34,1),(53,1),(55,1),(105,1)}
        40:{1,3,4,7}:{(24,1),(27,1),(56,1),(57,1),(82,1),(103,1)}
        41:{2,3,4,6}:{(24,1),(25,1),(28,1),(57,1),(58,1),(62,1),(109,1),(118,1)}
        42:{1,3,5}:{(25,1),(26,1),(58,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(56,1),(60,1),(86,1)}
        44:{1,3,6}:{(27,1),(28,1),(30,1),(60,1)}
        45:{2,3,5,6}:{(28,1),(29,1),(31,1),(52,1),(58,1),(61,1),(62,1),(64,1),(91,1),(109,1)}
        46:{1,4,6}:{(29,1),(53,1),(59,1),(62,1)}
        47:{1,5,6}:{(30,1),(31,1),(54,1)}
        48:{2,4,5,6}:{(31,1),(32,1),(55,1),(62,1),(63,1),(64,1),(91,1)}
        49:{1,5,6,7}:{(33,1),(54,1),(65,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(55,1),(65,1),(66,1),(92,1)}
        51:{1,3,6,7}:{(35,1),(37,1),(44,1),(67,1),(68,1)}
        52:{2,3,5,7}:{(35,1),(36,1),(38,1),(45,1),(68,1),(69,1),(71,1),(95,1),(111,1)}
        53:{1,4,7}:{(36,1),(46,1),(69,1)}
        54:{1,5,7}:{(37,1),(38,1),(47,1)}
        55:{2,4,5,7}:{(38,1),(39,1),(48,1),(50,1),(69,1),(70,1),(71,1),(95,1)}
        56:{1,2,4,7}:{(40,1),(43,1),(72,1),(73,1)}
        57:{1,3,4,6}:{(40,1),(41,1),(44,1),(73,1),(74,1),(77,1),(99,1),(113,1)}
        58:{2,3,5}:{(41,1),(42,1),(74,1),(75,1)}
        59:{1,4,5}:{(42,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(68,1),(74,1),(76,1),(77,1),(99,1)}
        62:{2,4,6}:{(45,1),(46,1),(69,1),(75,1),(77,1),(78,1)}
        63:{1,4,5,6}:{(47,1),(48,1),(70,1),(77,1),(79,1)}
        64:{3,5,6}:{(48,1),(71,1),(78,1)}
        65:{1,4,6,7}:{(49,1),(50,1),(70,1),(80,1)}
        66:{3,6,7}:{(50,1),(71,1)}
        67:{1,2,6,7}:{(51,1),(60,1),(81,1),(92,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(54,1),(61,1),(81,1),(82,1),(103,1)}
        69:{2,4,7}:{(52,1),(53,1),(62,1),(82,1),(83,1)}
        70:{1,4,5,7}:{(54,1),(55,1),(63,1),(65,1),(82,1),(84,1)}
        71:{3,5,7}:{(55,1),(64,1),(66,1),(83,1)}
        72:{1,2,3,7}:{(56,1),(85,1),(103,1)}
        73:{1,2,4,6}:{(56,1),(57,1),(60,1),(85,1),(86,1),(106,1)}
        74:{1,3,5}:{(57,1),(58,1),(86,1),(87,1)}
        75:{2,4,5}:{(58,1),(59,1),(62,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(60,1),(61,1),(81,1),(86,1),(89,1),(91,1)}
        77:{1,4,6}:{(61,1),(62,1),(82,1),(87,1)}
        78:{3,4,6}:{(62,1),(64,1),(83,1),(88,1)}
        79:{1,3,5,6}:{(63,1),(64,1),(84,1),(90,1),(91,1)}
        80:{1,3,6,7}:{(65,1),(66,1),(84,1),(92,1)}
        81:{1,2,5,7}:{(67,1),(68,1),(76,1),(93,1),(95,1)}
        82:{1,4,7}:{(68,1),(69,1),(77,1)}
        83:{3,4,7}:{(69,1),(71,1),(78,1)}
        84:{1,3,5,7}:{(70,1),(71,1),(79,1),(80,1),(94,1),(95,1)}
        85:{1,2,3,6}:{(72,1),(73,1),(96,1),(99,1)}
        86:{1,2,5}:{(73,1),(74,1)}
        87:{1,4,5}:{(74,1),(75,1),(77,1)}
        88:{3,4,5}:{(75,1),(78,1)}
        89:{1,2,4,6}:{(76,1),(77,1),(93,1),(97,1),(99,1),(100,1)}
        90:{1,3,4,6}:{(77,1),(78,1),(79,1),(94,1),(98,1),(99,1),(100,1)}
        91:{2,5,6}:{(79,1),(95,1),(100,1),(101,1)}
        92:{2,6,7}:{(80,1),(95,1),(102,1)}
        93:{1,2,4,7}:{(81,1),(82,1),(89,1),(103,1),(104,1)}
        94:{1,3,4,7}:{(82,1),(83,1),(84,1),(90,1),(103,1),(104,1)}
        95:{2,5,7}:{(84,1),(91,1),(92,1),(104,1),(105,1)}
        96:{1,2,3,5}:{(85,1),(86,1),(106,1),(107,1)}
        97:{1,2,4,5}:{(86,1),(87,1),(89,1),(106,1),(107,1),(108,1)}
        98:{1,3,4,5}:{(87,1),(88,1),(90,1),(107,1),(108,1)}
        99:{1,3,6}:{(89,1),(103,1),(107,1),(109,1)}
       100:{2,4,6}:{(90,1),(91,1),(104,1),(108,1),(109,1),(110,1)}
       101:{1,5,6}:{(91,1),(105,1),(110,1)}
       102:{1,6,7}:{(92,1),(105,1)}
       103:{1,3,7}:{(93,1),(99,1),(111,1)}
       104:{2,4,7}:{(94,1),(95,1),(100,1),(111,1),(112,1)}
       105:{1,5,7}:{(95,1),(101,1),(102,1),(112,1)}
       106:{1,2,4}:{(96,1),(113,1)}
       107:{1,3,5}:{(97,1),(99,1),(113,1),(114,1)}
       108:{2,4,5}:{(98,1),(100,1),(114,1),(115,1)}
       109:{2,3,6}:{(99,1),(100,1),(111,1),(114,1),(116,1)}
       110:{1,4,6}:{(100,1),(101,1),(112,1),(115,1),(116,1)}
       111:{2,3,7}:{(103,1),(104,1),(109,1),(117,1)}
       112:{1,4,7}:{(104,1),(105,1),(110,1),(117,1)}
       113:{1,3,4}:{(106,1),(107,1),(118,1)}
       114:{2,3,5}:{(107,1),(108,1),(109,1),(118,1),(119,1)}
       115:{1,4,5}:{(108,1),(110,1),(119,1)}
       116:{1,3,6}:{(109,1),(110,1),(117,1),(119,1),(120,1)}
       117:{1,3,7}:{(111,1),(112,1),(116,1),(121,1)}
       118:{2,3,4}:{(113,1),(114,1),(122,1)}
       119:{1,3,5}:{(114,1),(115,1),(116,1),(122,1),(123,1)}
       120:{1,2,6}:{(116,1),(121,1),(123,1)}
       121:{1,2,7}:{(117,1),(120,1)}
       122:{1,3,4}:{(118,1),(119,1),(124,1)}
       123:{1,2,5}:{(119,1),(120,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2658 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(15,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(19,1),(27,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(147,1),(153,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(41,1),(141,1),(150,1)}
         9:{1,2,3,5,7}:{(4,1),(15,1),(17,1),(31,1),(41,1)}
        10:{1,2,3,6}:{(5,1),(16,1)}
        11:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(27,1),(28,1),(58,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(22,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(19,1),(22,1),(24,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(57,1),(132,1),(145,1)}
        15:{1,2,4,7}:{(7,1),(9,1),(24,1)}
        16:{1,2,4,6}:{(8,1),(10,1),(25,1),(27,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(47,1),(153,1)}
        18:{1,3,4,5,6}:{(19,1),(28,1),(29,1),(58,1),(91,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(30,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(15,1),(31,1),(32,1),(41,1),(43,1),(75,1)}
        21:{1,3,4,5}:{(12,1),(34,1),(35,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(30,1),(35,1),(37,1)}
        23:{2,3,4,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1),(73,1),(122,1),(139,1)}
        24:{1,3,4,7}:{(13,1),(15,1),(31,1),(37,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(38,1),(40,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(39,1),(41,1),(149,1),(150,1)}
        27:{1,2,5,6}:{(16,1),(40,1),(41,1)}
        28:{2,4,5,6}:{(18,1),(30,1),(42,1),(43,1)}
        29:{1,3,4,5,7}:{(18,1),(31,1),(43,1),(44,1),(75,1),(104,1)}
        30:{2,3,5,6}:{(19,1),(22,1),(28,1),(45,1),(46,1)}
        31:{1,3,5,7}:{(19,1),(20,1),(24,1),(46,1),(47,1)}
        32:{1,2,4,6,7}:{(20,1),(47,1),(48,1),(60,1),(82,1)}
        33:{1,2,3,4}:{(49,1)}
        34:{1,2,4,5}:{(21,1),(49,1),(51,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(45,1),(51,1),(53,1)}
        36:{1,3,4,5,7}:{(21,1),(23,1),(52,1),(53,1),(54,1),(88,1),(112,1),(130,1)}
        37:{2,3,4,7}:{(22,1),(24,1),(46,1),(53,1)}
        38:{2,3,4,6}:{(23,1),(25,1),(54,1),(56,1)}
        39:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(47,1),(55,1),(57,1),(82,1),(144,1),(145,1)}
        40:{1,3,5,6}:{(25,1),(27,1),(56,1),(57,1),(58,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(57,1)}
        42:{1,4,5,6}:{(28,1),(45,1),(59,1)}
        43:{2,4,5,7}:{(28,1),(29,1),(46,1),(59,1),(60,1)}
        44:{1,3,4,6,7}:{(29,1),(47,1),(60,1),(61,1),(82,1),(109,1)}
        45:{1,3,5,6}:{(30,1),(35,1),(42,1),(62,1),(63,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(37,1),(43,1),(63,1),(64,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(64,1)}
        48:{1,2,5,6,7}:{(32,1),(41,1),(65,1),(77,1),(149,1)}
        49:{1,2,3,5}:{(33,1),(34,1),(66,1)}
        50:{1,2,3,4,7}:{(33,1),(67,1),(68,1),(120,1)}
        51:{1,2,4,6}:{(34,1),(35,1),(62,1),(66,1),(69,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(67,1),(69,1),(70,1),(99,1),(100,1),(120,1)}
        53:{1,3,4,7}:{(35,1),(37,1),(63,1),(69,1)}
        54:{1,3,4,6}:{(36,1),(38,1),(70,1),(72,1)}
        55:{2,3,4,6,7}:{(37,1),(38,1),(39,1),(64,1),(71,1),(73,1),(96,1),(137,1),(139,1)}
        56:{2,3,5,6}:{(38,1),(40,1),(72,1),(73,1),(74,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(41,1),(73,1),(75,1)}
        58:{1,4,5,6}:{(40,1),(74,1),(75,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(63,1),(76,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(64,1),(76,1),(77,1)}
        61:{1,3,5,6,7}:{(44,1),(77,1),(78,1),(106,1)}
        62:{1,2,5,6}:{(45,1),(51,1),(79,1)}
        63:{1,3,5,7}:{(45,1),(46,1),(53,1),(59,1),(79,1),(80,1)}
        64:{2,3,6,7}:{(46,1),(47,1),(60,1),(80,1)}
        65:{1,3,5,6,7}:{(47,1),(48,1),(57,1),(81,1),(82,1),(136,1),(144,1)}
        66:{1,2,3,6}:{(49,1),(51,1),(83,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(83,1),(84,1),(85,1)}
        68:{1,2,3,4,6}:{(50,1),(84,1),(85,1),(111,1)}
        69:{1,2,4,7}:{(51,1),(53,1),(79,1),(83,1)}
        70:{1,2,4,6}:{(52,1),(54,1),(84,1),(87,1)}
        71:{1,3,4,6,7}:{(53,1),(54,1),(55,1),(80,1),(86,1),(88,1),(108,1),(128,1),(130,1)}
        72:{1,3,5,6}:{(54,1),(56,1),(87,1),(88,1),(89,1)}
        73:{2,3,5,7}:{(55,1),(56,1),(57,1),(88,1),(90,1)}
        74:{2,4,5,6}:{(56,1),(58,1),(89,1),(90,1),(91,1)}
        75:{1,4,5,7}:{(57,1),(58,1),(82,1),(90,1)}
        76:{1,4,6,7}:{(59,1),(60,1),(80,1),(92,1)}
        77:{2,5,6,7}:{(60,1),(61,1),(92,1)}
        78:{1,4,5,6,7}:{(61,1),(82,1),(93,1),(136,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(69,1),(94,1)}
        80:{1,3,6,7}:{(63,1),(64,1),(76,1),(94,1)}
        81:{2,3,5,6,7}:{(64,1),(65,1),(73,1),(77,1),(95,1),(96,1),(106,1),(127,1),(137,1)}
        82:{1,4,6,7}:{(65,1),(75,1),(96,1)}
        83:{1,2,3,7}:{(66,1),(69,1)}
        84:{1,2,3,6}:{(67,1),(70,1)}
        85:{1,2,3,5}:{(68,1),(99,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(94,1),(97,1),(100,1),(120,1)}
        87:{1,2,5,6}:{(70,1),(72,1),(100,1)}
        88:{1,3,5,7}:{(71,1),(72,1),(73,1),(100,1),(102,1)}
        89:{1,4,5,6}:{(72,1),(74,1),(102,1)}
        90:{2,4,5,7}:{(73,1),(74,1),(75,1),(96,1),(102,1),(104,1)}
        91:{3,4,5,6}:{(74,1),(104,1)}
        92:{1,5,6,7}:{(76,1),(77,1)}
        93:{2,4,5,6,7}:{(77,1),(78,1),(96,1),(105,1),(106,1),(127,1)}
        94:{1,2,6,7}:{(79,1),(80,1)}
        95:{1,3,5,6,7}:{(80,1),(81,1),(88,1),(92,1),(107,1),(108,1),(128,1)}
        96:{2,4,6,7}:{(81,1),(82,1),(90,1),(108,1),(109,1)}
        97:{1,2,3,6,7}:{(83,1),(84,1),(86,1),(110,1),(128,1)}
        98:{1,2,3,5,6}:{(84,1),(85,1),(87,1),(110,1),(111,1),(114,1)}
        99:{1,2,4,5}:{(85,1),(111,1),(112,1)}
       100:{1,2,5,7}:{(86,1),(87,1),(88,1)}
       101:{1,2,4,5,6}:{(87,1),(89,1),(111,1),(113,1),(114,1),(116,1)}
       102:{1,4,5,7}:{(88,1),(89,1),(90,1),(108,1)}
       103:{1,3,4,5,6}:{(89,1),(91,1),(114,1),(115,1),(116,1)}
       104:{3,4,5,7}:{(90,1),(91,1),(109,1)}
       105:{1,4,5,6,7}:{(92,1),(93,1),(108,1),(117,1)}
       106:{3,5,6,7}:{(93,1),(109,1)}
       107:{1,2,5,6,7}:{(94,1),(95,1),(100,1),(118,1),(127,1)}
       108:{1,4,6,7}:{(95,1),(96,1),(102,1)}
       109:{3,4,6,7}:{(96,1),(104,1),(106,1)}
       110:{1,2,3,5,7}:{(97,1),(98,1),(100,1),(120,1),(123,1)}
       111:{1,2,4,6}:{(98,1),(99,1),(120,1),(121,1)}
       112:{1,3,4,5}:{(99,1),(121,1),(122,1)}
       113:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(120,1),(123,1),(125,1)}
       114:{1,3,5,6}:{(101,1),(121,1),(123,1),(124,1)}
       115:{1,3,4,5,7}:{(102,1),(103,1),(104,1),(119,1),(123,1),(125,1)}
       116:{2,4,5,6}:{(103,1),(124,1),(125,1),(126,1)}
       117:{1,3,5,6,7}:{(105,1),(106,1),(119,1),(127,1)}
       118:{1,2,4,6,7}:{(107,1),(108,1),(113,1),(128,1),(129,1)}
       119:{1,3,4,6,7}:{(108,1),(109,1),(115,1),(117,1),(128,1),(129,1)}
       120:{1,2,4,7}:{(110,1),(111,1),(130,1)}
       121:{1,3,4,6}:{(111,1),(112,1),(114,1),(130,1),(131,1)}
       122:{2,3,4,5}:{(112,1),(131,1),(132,1)}
       123:{1,3,5,7}:{(113,1),(114,1),(128,1),(130,1),(133,1)}
       124:{2,3,5,6}:{(114,1),(116,1),(131,1),(133,1),(134,1)}
       125:{2,4,5,7}:{(115,1),(116,1),(129,1),(133,1),(135,1)}
       126:{1,4,5,6}:{(116,1),(134,1),(135,1)}
       127:{2,5,6,7}:{(117,1),(129,1),(136,1)}
       128:{1,3,6,7}:{(118,1),(123,1),(137,1)}
       129:{2,4,6,7}:{(119,1),(125,1),(127,1),(137,1),(138,1)}
       130:{1,3,4,7}:{(120,1),(121,1),(123,1),(139,1)}
       131:{2,3,4,6}:{(121,1),(122,1),(124,1),(139,1),(140,1)}
       132:{1,3,4,5}:{(122,1),(140,1),(141,1)}
       133:{2,3,5,7}:{(123,1),(124,1),(125,1),(137,1),(139,1),(142,1)}
       134:{1,3,5,6}:{(124,1),(126,1),(140,1),(142,1),(143,1)}
       135:{1,4,5,7}:{(125,1),(126,1),(138,1),(142,1)}
       136:{1,5,6,7}:{(127,1),(138,1)}
       137:{2,3,6,7}:{(128,1),(129,1),(133,1),(144,1)}
       138:{1,4,6,7}:{(129,1),(135,1),(136,1),(144,1)}
       139:{2,3,4,7}:{(130,1),(131,1),(133,1),(145,1)}
       140:{1,3,4,6}:{(131,1),(132,1),(134,1),(145,1),(146,1)}
       141:{1,2,4,5}:{(132,1),(146,1),(147,1)}
       142:{1,3,5,7}:{(133,1),(134,1),(135,1),(144,1),(145,1),(148,1)}
       143:{1,2,5,6}:{(134,1),(146,1),(148,1)}
       144:{1,3,6,7}:{(137,1),(138,1),(142,1),(149,1)}
       145:{1,3,4,7}:{(139,1),(140,1),(142,1),(150,1)}
       146:{1,2,4,6}:{(140,1),(141,1),(143,1),(150,1),(151,1)}
       147:{1,2,3,5}:{(141,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(142,1),(143,1),(149,1),(150,1)}
       149:{1,2,6,7}:{(144,1),(148,1)}
       150:{1,2,4,7}:{(145,1),(146,1),(148,1),(153,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,3,4}:{(147,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2659 :   0:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(11,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(125,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(18,1),(121,1)}
         3:{1,3,4,7}:{(1,1),(7,1),(8,1),(9,1),(70,1),(123,1)}
         4:{1,2,4,5,7}:{(1,1),(8,1),(10,1),(11,1),(12,1),(35,1),(36,1),(70,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(114,1),(124,1)}
         6:{1,3,4,5,7}:{(8,1),(12,1),(13,1),(35,1),(40,1),(69,1),(70,1),(97,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(84,1),(118,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(16,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(53,1),(104,1),(119,1)}
        10:{1,2,4,6}:{(4,1),(18,1),(21,1),(23,1),(53,1)}
        11:{1,2,5}:{(5,1),(19,1)}
        12:{2,4,5,7}:{(6,1),(16,1),(22,1),(23,1),(51,1),(56,1),(84,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(23,1),(25,1),(53,1),(85,1)}
        14:{1,2,3,7}:{(27,1),(28,1),(111,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(29,1),(30,1),(94,1),(111,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(12,1),(29,1),(31,1),(32,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(30,1),(31,1),(32,1),(68,1),(93,1),(112,1)}
        18:{1,3,6}:{(8,1),(10,1),(31,1)}
        19:{1,3,5}:{(9,1),(11,1),(32,1),(35,1)}
        20:{1,2,4,6,7}:{(10,1),(33,1),(36,1),(38,1),(70,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(34,1),(36,1),(39,1),(124,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(37,1),(66,1),(71,1),(94,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(37,1),(39,1)}
        24:{1,3,4,6,7}:{(13,1),(33,1),(38,1),(40,1),(43,1),(70,1),(76,1),(97,1)}
        25:{1,3,5,6}:{(13,1),(39,1),(40,1),(41,1),(74,1)}
        26:{1,3,5,6,7}:{(40,1),(42,1),(43,1),(76,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(44,1),(45,1)}
        28:{1,2,3,6}:{(14,1),(45,1),(46,1),(102,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(22,1),(44,1),(47,1),(48,1)}
        30:{1,3,4,6}:{(15,1),(17,1),(45,1),(47,1),(48,1),(80,1),(82,1),(102,1)}
        31:{2,3,6}:{(16,1),(18,1),(23,1),(47,1)}
        32:{2,3,5}:{(17,1),(19,1),(48,1),(51,1)}
        33:{1,3,6,7}:{(18,1),(20,1),(49,1),(52,1),(110,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(21,1),(50,1),(52,1),(53,1),(109,1),(119,1)}
        35:{1,4,5}:{(19,1),(51,1),(53,1)}
        36:{1,2,5,7}:{(20,1),(21,1),(52,1),(56,1),(125,1)}
        37:{1,4,6}:{(22,1),(23,1),(47,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(24,1),(49,1),(54,1),(56,1),(84,1)}
        39:{2,5,6}:{(23,1),(25,1),(55,1),(56,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(56,1),(58,1),(88,1)}
        41:{1,4,5,6}:{(25,1),(53,1),(57,1),(58,1),(109,1)}
        42:{2,5,6,7}:{(26,1),(56,1),(59,1),(60,1)}
        43:{1,4,6,7}:{(26,1),(58,1),(60,1),(110,1)}
        44:{1,2,5,7}:{(27,1),(29,1),(61,1),(62,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(30,1),(61,1),(62,1),(63,1)}
        46:{1,2,3,5}:{(28,1),(62,1),(63,1),(92,1)}
        47:{1,3,6}:{(29,1),(31,1),(37,1),(61,1)}
        48:{1,3,5}:{(30,1),(32,1),(62,1),(66,1)}
        49:{2,3,6,7}:{(31,1),(33,1),(38,1),(64,1),(67,1),(76,1),(100,1)}
        50:{2,3,5,6}:{(31,1),(32,1),(34,1),(39,1),(65,1),(67,1),(68,1),(74,1),(99,1),(112,1)}
        51:{2,4,5}:{(32,1),(35,1),(66,1),(68,1),(69,1)}
        52:{1,3,5,7}:{(33,1),(34,1),(36,1),(67,1),(70,1),(117,1),(123,1)}
        53:{1,4,6}:{(34,1),(35,1),(68,1),(70,1)}
        54:{1,4,6,7}:{(37,1),(38,1),(64,1),(71,1),(94,1)}
        55:{1,5,6}:{(37,1),(39,1),(71,1)}
        56:{2,5,7}:{(38,1),(39,1),(40,1),(71,1)}
        57:{2,4,5,6}:{(39,1),(41,1),(68,1),(72,1),(73,1),(74,1),(99,1)}
        58:{1,4,5,7}:{(40,1),(41,1),(43,1),(70,1),(73,1),(117,1)}
        59:{1,5,6,7}:{(42,1),(71,1),(75,1)}
        60:{2,4,6,7}:{(42,1),(43,1),(73,1),(75,1),(76,1),(100,1)}
        61:{1,2,6}:{(44,1),(47,1)}
        62:{1,2,5}:{(45,1),(48,1)}
        63:{1,2,4}:{(46,1),(80,1)}
        64:{1,3,6,7}:{(47,1),(49,1),(54,1),(77,1),(81,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(50,1),(55,1),(78,1),(81,1),(82,1),(102,1)}
        66:{1,4,5}:{(48,1),(51,1),(82,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(52,1),(56,1),(81,1),(84,1),(88,1),(108,1),(118,1)}
        68:{2,4,6}:{(50,1),(51,1),(53,1),(82,1),(84,1),(85,1)}
        69:{3,4,5}:{(51,1),(85,1)}
        70:{1,4,7}:{(52,1),(53,1),(84,1)}
        71:{1,5,7}:{(54,1),(55,1),(56,1)}
        72:{1,4,5,6}:{(55,1),(57,1),(82,1),(86,1),(87,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(58,1),(60,1),(84,1),(86,1),(88,1),(108,1)}
        74:{3,5,6}:{(57,1),(85,1),(88,1)}
        75:{1,4,6,7}:{(59,1),(60,1),(86,1),(89,1)}
        76:{3,6,7}:{(60,1),(88,1)}
        77:{1,2,6,7}:{(61,1),(64,1),(90,1),(100,1)}
        78:{1,2,5,6}:{(61,1),(62,1),(65,1),(90,1),(91,1),(99,1)}
        79:{1,2,4,5}:{(62,1),(63,1),(66,1),(91,1),(92,1),(96,1)}
        80:{1,3,4}:{(63,1),(92,1),(93,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(71,1),(90,1),(94,1),(111,1)}
        82:{1,4,6}:{(65,1),(66,1),(68,1),(94,1)}
        83:{1,3,4,5}:{(66,1),(69,1),(92,1),(95,1),(96,1)}
        84:{2,4,7}:{(67,1),(68,1),(70,1),(94,1),(97,1)}
        85:{3,4,6}:{(68,1),(69,1),(74,1),(97,1)}
        86:{1,4,5,7}:{(71,1),(72,1),(73,1),(75,1),(94,1),(98,1)}
        87:{1,3,5,6}:{(72,1),(74,1),(95,1),(98,1),(99,1)}
        88:{3,5,7}:{(73,1),(74,1),(76,1),(97,1)}
        89:{1,3,6,7}:{(75,1),(76,1),(98,1),(100,1)}
        90:{1,2,5,7}:{(77,1),(78,1),(81,1),(101,1),(108,1)}
        91:{1,2,4,6}:{(78,1),(79,1),(82,1),(101,1),(102,1),(106,1)}
        92:{1,3,5}:{(79,1),(80,1),(102,1),(103,1)}
        93:{2,3,4}:{(80,1),(103,1),(104,1)}
        94:{1,4,7}:{(81,1),(82,1),(84,1)}
        95:{1,3,4,6}:{(82,1),(83,1),(85,1),(87,1),(102,1),(105,1),(106,1)}
        96:{2,4,5}:{(83,1),(103,1),(106,1),(107,1)}
        97:{3,4,7}:{(84,1),(85,1),(88,1)}
        98:{1,3,5,7}:{(86,1),(87,1),(88,1),(89,1),(105,1),(108,1)}
        99:{2,5,6}:{(87,1),(106,1),(108,1),(109,1)}
       100:{2,6,7}:{(89,1),(108,1),(110,1)}
       101:{1,2,4,7}:{(90,1),(91,1),(94,1),(111,1),(115,1)}
       102:{1,3,6}:{(91,1),(92,1),(111,1),(112,1)}
       103:{2,3,5}:{(92,1),(93,1),(96,1),(112,1),(113,1)}
       104:{1,3,4}:{(93,1),(113,1),(114,1)}
       105:{1,3,4,7}:{(94,1),(95,1),(97,1),(98,1),(111,1),(115,1)}
       106:{2,4,6}:{(95,1),(96,1),(99,1),(112,1),(115,1),(116,1)}
       107:{1,4,5}:{(96,1),(113,1),(116,1)}
       108:{2,5,7}:{(98,1),(99,1),(100,1),(115,1),(117,1)}
       109:{1,5,6}:{(99,1),(116,1),(117,1)}
       110:{1,6,7}:{(100,1),(117,1)}
       111:{1,3,7}:{(101,1),(102,1),(118,1)}
       112:{2,3,6}:{(102,1),(103,1),(106,1),(118,1),(119,1)}
       113:{1,3,5}:{(103,1),(104,1),(107,1),(119,1),(120,1)}
       114:{1,2,4}:{(104,1),(120,1),(121,1)}
       115:{2,4,7}:{(105,1),(106,1),(108,1),(118,1),(122,1)}
       116:{1,4,6}:{(106,1),(107,1),(109,1),(119,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(110,1),(122,1)}
       118:{2,3,7}:{(111,1),(112,1),(115,1),(123,1)}
       119:{1,3,6}:{(112,1),(113,1),(116,1),(123,1),(124,1)}
       120:{1,2,5}:{(113,1),(114,1),(124,1)}
       121:{1,2,3}:{(114,1)}
       122:{1,4,7}:{(115,1),(116,1),(117,1),(123,1)}
       123:{1,3,7}:{(118,1),(119,1),(122,1),(125,1)}
       124:{1,2,6}:{(119,1),(120,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2660 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2661 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2662 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2663 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2664 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2665 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2666 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{1,2,3,5,6,7}:{(7,1),(21,1),(41,1),(51,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         3:{2,3,4,5,6}:{(6,1),(8,1),(52,1),(54,1),(80,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(3,1),(9,1),(12,1),(60,1),(62,1)}
         7:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(59,1),(67,1),(94,1),(100,1),(128,1)}
         8:{1,3,4,5,6}:{(3,1),(12,1),(15,1),(36,1),(72,1),(99,1),(103,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(84,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(22,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(8,1),(16,1),(19,1),(44,1),(79,1)}
        13:{1,3,4,6,7}:{(7,1),(20,1),(21,1),(48,1),(115,1),(135,1)}
        14:{1,2,4,5,7}:{(7,1),(21,1),(22,1),(47,1),(79,1),(111,1)}
        15:{2,4,5,6}:{(8,1),(19,1),(24,1),(91,1),(118,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(103,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(35,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(15,1),(25,1),(30,1)}
        20:{2,3,4,6,7}:{(13,1),(33,1),(34,1),(67,1),(94,1),(101,1),(129,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        22:{1,2,4,5,6}:{(14,1),(35,1),(67,1),(99,1),(124,1),(128,1)}
        23:{1,2,4,5,6}:{(15,1),(29,1),(36,1),(71,1),(74,1),(99,1),(105,1),(107,1),(124,1),(128,1)}
        24:{2,3,5,6}:{(15,1),(30,1),(36,1),(37,1),(108,1),(129,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(118,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(88,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(51,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(48,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(23,1),(39,1),(44,1),(79,1),(82,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(21,1),(47,1),(48,1)}
        32:{1,2,3,6,7}:{(46,1),(49,1),(75,1),(119,1)}
        33:{1,3,4,6,7}:{(20,1),(49,1),(50,1),(85,1),(87,1),(119,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(47,1),(50,1),(51,1),(111,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(48,1),(51,1),(135,1)}
        36:{1,3,5,6}:{(23,1),(24,1),(44,1),(52,1),(53,1),(92,1),(119,1),(120,1),(135,1)}
        37:{2,3,4,6}:{(24,1),(45,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(46,1),(52,1),(55,1),(88,1),(92,1),(119,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(105,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(69,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(67,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(36,1),(56,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(30,1),(37,1),(63,1)}
        46:{1,2,3,5,7}:{(32,1),(38,1),(62,1),(65,1),(68,1),(104,1)}
        47:{2,4,5,7}:{(31,1),(34,1),(66,1),(67,1)}
        48:{1,3,4,6}:{(31,1),(35,1),(67,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(65,1),(68,1),(94,1),(105,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(66,1),(68,1),(69,1)}
        51:{2,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(124,1),(129,1)}
        52:{2,3,5,6}:{(36,1),(62,1),(71,1),(108,1),(124,1),(129,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(63,1),(71,1),(72,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(108,1)}
        55:{1,2,4,6}:{(38,1),(65,1),(71,1),(73,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(119,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(84,1)}
        58:{1,2,3,5,6,7}:{(41,1),(46,1),(75,1),(78,1),(88,1),(111,1),(113,1),(119,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(87,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(48,1),(80,1),(112,1),(134,1)}
        62:{2,3,5,7}:{(44,1),(52,1),(75,1),(82,1),(111,1)}
        63:{1,3,4,7}:{(44,1),(45,1),(53,1),(82,1)}
        64:{2,3,4,5,7}:{(45,1),(47,1),(54,1),(77,1),(83,1),(84,1),(117,1),(132,1)}
        65:{1,2,4,7}:{(46,1),(55,1),(82,1),(85,1)}
        66:{1,4,5,7}:{(47,1),(50,1),(87,1)}
        67:{2,4,6}:{(47,1),(48,1),(51,1),(87,1)}
        68:{1,2,5,7}:{(49,1),(50,1),(88,1),(111,1)}
        69:{1,3,5,6}:{(50,1),(51,1),(87,1),(88,1),(119,1)}
        70:{1,2,3,5,6}:{(52,1),(81,1),(89,1),(120,1),(131,1),(135,1)}
        71:{2,4,6}:{(52,1),(53,1),(82,1),(91,1)}
        72:{1,3,4,5}:{(53,1),(54,1),(91,1),(92,1),(120,1)}
        73:{1,3,4,6}:{(55,1),(85,1),(90,1),(92,1),(119,1)}
        74:{1,2,4,5}:{(55,1),(91,1),(92,1)}
        75:{2,3,6,7}:{(56,1),(62,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(94,1),(95,1),(103,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(65,1),(94,1),(97,1),(98,1),(105,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(67,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(70,1),(93,1),(100,1),(122,1),(127,1)}
        82:{2,4,7}:{(62,1),(63,1),(71,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(72,1),(95,1),(102,1),(103,1),(104,1),(127,1),(136,1)}
        84:{2,3,4,6}:{(64,1),(67,1),(96,1),(103,1),(129,1),(138,1)}
        85:{1,3,4,7}:{(65,1),(73,1),(101,1),(104,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(102,1),(104,1),(105,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(68,1),(69,1),(105,1),(124,1)}
        89:{1,2,4,6}:{(70,1),(71,1),(100,1),(106,1),(107,1)}
        90:{2,3,4,6}:{(71,1),(73,1),(101,1),(106,1),(108,1),(129,1)}
        91:{2,4,5}:{(71,1),(72,1),(108,1)}
        92:{1,3,5}:{(73,1),(74,1),(108,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(82,1),(111,1),(118,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(84,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(85,1),(110,1),(113,1),(119,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(87,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(89,1),(115,1)}
       101:{2,3,4,7}:{(82,1),(85,1),(90,1),(115,1),(117,1)}
       102:{2,4,5,7}:{(82,1),(83,1),(91,1),(111,1),(117,1),(118,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(87,1),(112,1),(118,1),(119,1),(135,1),(139,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(92,1),(117,1),(119,1)}
       105:{1,2,4,6}:{(86,1),(87,1),(88,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(115,1),(120,1),(135,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(120,1)}
       108:{2,3,5}:{(90,1),(91,1),(92,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(101,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(103,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(105,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(106,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(107,1),(122,1),(127,1),(128,1),(136,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(108,1),(127,1),(129,1)}
       118:{2,4,6}:{(102,1),(103,1),(124,1),(129,1)}
       119:{1,3,6}:{(104,1),(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(118,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(119,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(120,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(118,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(117,1),(118,1),(119,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2667 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2668 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2669 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2670 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(134,1),(135,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(87,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(103,1),(135,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(88,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(115,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(74,1),(111,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(47,1),(135,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(61,1),(97,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(47,1),(70,1),(100,1),(106,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(47,1),(110,1),(111,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(60,1),(96,1),(97,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(75,1),(130,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(47,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(49,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(47,1),(49,1)}
        37:{1,2,3,4,6,7}:{(27,1),(50,1),(55,1),(81,1),(83,1),(113,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(47,1),(51,1),(100,1),(110,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(49,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(34,1),(56,1),(84,1),(118,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(58,1),(59,1),(62,1),(89,1),(139,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(57,1),(59,1),(94,1),(141,1)}
        47:{2,4,6,7}:{(34,1),(36,1),(38,1),(60,1)}
        48:{1,2,4,5,6}:{(35,1),(40,1),(58,1),(62,1),(63,1),(67,1)}
        49:{1,4,5,7}:{(35,1),(36,1),(41,1),(60,1)}
        50:{1,2,3,5,7}:{(37,1),(39,1),(64,1),(65,1),(128,1)}
        51:{1,3,5,6,7}:{(38,1),(41,1),(60,1),(66,1),(96,1)}
        52:{1,2,4,5}:{(39,1),(61,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(96,1)}
        56:{2,4,5,6,7}:{(44,1),(47,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(46,1),(47,1),(69,1),(73,1),(110,1),(131,1)}
        58:{2,4,5,6}:{(45,1),(75,1),(76,1)}
        59:{1,3,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(76,1),(80,1),(108,1),(145,1)}
        60:{1,4,6,7}:{(47,1),(49,1),(51,1)}
        61:{1,3,4,5}:{(52,1),(74,1),(79,1)}
        62:{1,3,5,6}:{(48,1),(75,1),(79,1),(80,1)}
        63:{1,2,4,5,7}:{(48,1),(49,1),(54,1),(76,1),(78,1),(80,1),(83,1)}
        64:{1,2,4,5,7}:{(50,1),(52,1),(77,1),(81,1),(83,1)}
        65:{1,2,3,5,6}:{(50,1),(81,1),(112,1)}
        66:{1,2,5,6,7}:{(51,1),(54,1),(78,1),(100,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(79,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(80,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(60,1),(84,1),(140,1)}
        71:{1,2,3,4,6}:{(86,1),(87,1),(120,1),(121,1)}
        72:{1,2,4,5,6}:{(58,1),(89,1),(90,1),(121,1),(139,1),(142,1)}
        73:{1,3,4,6,7}:{(57,1),(59,1),(60,1),(84,1),(92,1),(96,1),(124,1),(140,1)}
        74:{2,3,4,5}:{(61,1),(88,1),(93,1)}
        75:{2,3,5,6}:{(58,1),(62,1),(89,1),(93,1),(94,1)}
        76:{2,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        77:{1,3,4,5,7}:{(61,1),(64,1),(91,1),(95,1),(97,1),(128,1)}
        78:{1,2,4,6,7}:{(60,1),(63,1),(66,1),(92,1),(96,1)}
        79:{1,3,4,6}:{(61,1),(62,1),(67,1),(93,1),(97,1)}
        80:{1,3,5,7}:{(62,1),(63,1),(94,1),(96,1),(97,1)}
        81:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        82:{1,2,3,5,6,7}:{(65,1),(66,1),(68,1),(96,1),(99,1),(116,1),(128,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(97,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(78,1),(100,1),(101,1),(114,1),(131,1)}
        86:{1,2,3,4,7}:{(71,1),(102,1),(135,1)}
        87:{1,2,3,5}:{(71,1),(103,1)}
        88:{1,3,4,5}:{(74,1),(103,1),(107,1)}
        89:{1,3,5,6}:{(72,1),(75,1),(107,1),(108,1)}
        90:{1,2,4,5,7}:{(72,1),(76,1),(106,1),(108,1),(135,1),(145,1),(146,1)}
        91:{2,3,4,5,7}:{(74,1),(77,1),(105,1),(109,1),(111,1),(138,1)}
        92:{2,4,6,7}:{(73,1),(76,1),(100,1),(110,1)}
        93:{2,3,4,6}:{(74,1),(75,1),(79,1),(107,1),(111,1)}
        94:{2,3,5,7}:{(75,1),(76,1),(80,1),(108,1),(110,1),(111,1)}
        95:{1,3,4,6}:{(77,1),(81,1),(109,1),(112,1)}
        96:{1,3,6,7}:{(78,1),(80,1),(110,1)}
        97:{1,3,4,7}:{(79,1),(80,1),(83,1),(111,1)}
        98:{1,2,4,5,6}:{(81,1),(112,1),(114,1),(130,1)}
        99:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(113,1),(114,1),(131,1)}
       100:{2,5,6,7}:{(84,1),(92,1)}
       101:{1,3,5,6,7}:{(85,1),(96,1),(116,1),(118,1),(128,1)}
       102:{1,2,3,5,7}:{(86,1),(87,1),(119,1),(120,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(121,1)}
       104:{1,2,3,5,6}:{(87,1),(89,1),(120,1),(121,1),(122,1),(142,1)}
       105:{1,3,4,5,7}:{(88,1),(91,1),(119,1),(123,1),(125,1),(144,1)}
       106:{1,2,4,6,7}:{(90,1),(92,1),(115,1),(124,1),(140,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(93,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(89,1),(90,1),(94,1),(124,1),(125,1)}
       109:{2,3,4,6}:{(91,1),(95,1),(123,1),(126,1)}
       110:{2,3,6,7}:{(92,1),(94,1),(96,1),(124,1)}
       111:{2,3,4,7}:{(93,1),(94,1),(97,1),(125,1)}
       112:{1,3,5,6}:{(95,1),(98,1),(126,1),(128,1)}
       113:{1,3,4,6,7}:{(95,1),(96,1),(97,1),(99,1),(127,1),(128,1)}
       114:{1,2,4,5,7}:{(98,1),(99,1),(128,1),(141,1)}
       115:{1,2,5,6,7}:{(100,1),(106,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(110,1),(129,1),(131,1),(138,1)}
       117:{1,3,4,5,6}:{(112,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(105,1),(133,1),(135,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,2,4,6}:{(103,1),(104,1),(107,1),(135,1)}
       122:{1,2,3,5,7}:{(104,1),(108,1),(134,1),(135,1),(146,1)}
       123:{1,3,4,6}:{(105,1),(109,1),(133,1),(136,1)}
       124:{1,3,6,7}:{(106,1),(108,1),(110,1)}
       125:{1,3,4,7}:{(107,1),(108,1),(111,1),(135,1)}
       126:{2,3,5,6}:{(109,1),(112,1),(130,1),(136,1),(138,1)}
       127:{2,3,4,6,7}:{(109,1),(110,1),(111,1),(113,1),(131,1),(137,1),(138,1)}
       128:{1,3,5,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(124,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(126,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(128,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(123,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(124,1),(143,1)}
       135:{1,2,4,7}:{(121,1),(122,1),(125,1)}
       136:{1,3,5,6}:{(123,1),(126,1),(139,1),(142,1),(144,1)}
       137:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(140,1),(143,1),(144,1)}
       138:{2,3,5,7}:{(126,1),(127,1),(128,1),(141,1),(144,1)}
       139:{1,4,5,6}:{(130,1),(136,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(138,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(136,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(146,1)}
       144:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2671 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2672 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(119,1),(123,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(111,1),(115,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(42,1),(123,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(97,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(33,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(106,1),(111,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(34,1),(84,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(42,1),(93,1),(97,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(46,1),(71,1),(76,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(31,1),(33,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(34,1),(35,1),(54,1),(80,1),(84,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(33,1),(37,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(34,1),(37,1),(38,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(25,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,4,5,7}:{(24,1),(25,1),(27,1),(42,1),(45,1)}
        34:{1,3,5,7}:{(25,1),(26,1),(28,1),(45,1),(46,1)}
        35:{1,2,4,6,7}:{(26,1),(29,1),(46,1),(47,1),(71,1)}
        36:{2,3,4,5,6}:{(27,1),(44,1),(48,1),(74,1),(139,1)}
        37:{1,4,5,6}:{(27,1),(28,1),(45,1)}
        38:{1,2,5,6}:{(28,1),(29,1),(46,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(71,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(33,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(34,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(36,1),(53,1),(56,1),(83,1),(129,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(37,1),(54,1)}
        46:{1,2,5,7}:{(34,1),(35,1),(38,1)}
        47:{1,2,3,6,7}:{(35,1),(39,1),(58,1),(80,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(56,1),(60,1),(61,1),(87,1),(144,1)}
        49:{1,2,4,5,6}:{(37,1),(38,1),(57,1),(60,1),(61,1),(62,1)}
        50:{1,2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(62,1),(63,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(62,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(45,1)}
        55:{1,2,5,6,7}:{(43,1),(46,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(48,1),(66,1),(69,1),(70,1),(96,1),(138,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(49,1),(67,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(70,1),(71,1)}
        59:{1,2,3,4,6,7}:{(47,1),(51,1),(71,1),(72,1),(94,1),(99,1)}
        60:{2,4,5,6}:{(48,1),(69,1),(74,1)}
        61:{1,3,5,6}:{(49,1),(70,1),(74,1),(75,1)}
        62:{1,2,4,6}:{(50,1),(71,1),(75,1),(76,1)}
        63:{1,2,3,5}:{(51,1),(76,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(58,1),(80,1),(81,1),(86,1),(104,1),(108,1)}
        69:{2,4,5,7}:{(56,1),(60,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(84,1)}
        71:{1,2,4,7}:{(58,1),(62,1),(84,1)}
        72:{1,2,3,5,7}:{(59,1),(63,1),(85,1),(86,1),(108,1)}
        73:{1,2,4,5,6}:{(60,1),(82,1),(87,1),(114,1),(144,1),(145,1)}
        74:{2,3,5,6}:{(60,1),(61,1),(83,1),(87,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(62,1),(84,1),(88,1),(89,1)}
        76:{1,2,4,5}:{(62,1),(63,1),(89,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(69,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(70,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(71,1),(94,1),(95,1),(99,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(73,1),(92,1),(96,1),(123,1),(138,1),(140,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(74,1),(93,1),(96,1),(97,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(75,1),(97,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(98,1),(99,1)}
        86:{1,2,3,5,6}:{(72,1),(99,1),(122,1)}
        87:{1,3,5,6}:{(73,1),(74,1),(96,1),(101,1)}
        88:{2,3,4,6}:{(74,1),(75,1),(97,1),(101,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(76,1),(102,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(83,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(108,1),(113,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,3,5,7}:{(82,1),(83,1),(87,1),(106,1),(111,1)}
        97:{2,3,4,7}:{(83,1),(84,1),(88,1),(111,1)}
        98:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(108,1),(112,1),(113,1)}
        99:{1,2,4,6}:{(85,1),(86,1),(113,1)}
       100:{1,2,3,5,6}:{(87,1),(110,1),(114,1),(137,1),(145,1),(146,1)}
       101:{1,3,4,6}:{(87,1),(88,1),(111,1),(114,1),(115,1)}
       102:{2,3,4,5}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(96,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(97,1),(117,1),(120,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(99,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(100,1),(119,1),(123,1),(140,1)}
       111:{1,3,4,7}:{(96,1),(97,1),(101,1),(123,1)}
       112:{2,3,4,5,7}:{(97,1),(98,1),(102,1),(121,1),(124,1),(125,1)}
       113:{1,3,4,6}:{(98,1),(99,1),(122,1),(125,1)}
       114:{1,2,4,6}:{(100,1),(101,1),(123,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(102,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(111,1),(128,1),(131,1),(132,1),(136,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(113,1),(133,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(114,1)}
       124:{1,3,4,5,7}:{(111,1),(112,1),(115,1),(132,1),(135,1),(136,1)}
       125:{2,3,4,6}:{(112,1),(113,1),(133,1),(136,1)}
       126:{1,2,3,4,6}:{(114,1),(134,1),(137,1),(146,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(125,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(126,1),(142,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(127,1),(140,1),(142,1),(143,1)}
       136:{1,3,4,6}:{(124,1),(125,1),(141,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(127,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(136,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2673 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(138,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(18,1),(25,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(39,1),(139,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(29,1),(39,1)}
        11:{1,2,4,5,6}:{(8,1),(18,1),(19,1),(25,1),(40,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(20,1),(22,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(55,1),(129,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(23,1),(25,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(24,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(26,1),(44,1),(153,1)}
        18:{1,3,5,6}:{(11,1),(14,1),(28,1),(29,1)}
        19:{1,2,4,5,7}:{(11,1),(16,1),(29,1),(30,1),(39,1),(57,1),(72,1)}
        20:{1,3,4,5}:{(12,1),(32,1),(34,1)}
        21:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(35,1),(36,1),(71,1),(119,1),(141,1)}
        22:{2,3,4,6}:{(12,1),(14,1),(28,1),(34,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(15,1),(35,1),(37,1)}
        24:{1,3,4,7}:{(14,1),(16,1),(29,1),(36,1)}
        25:{1,2,5,6}:{(15,1),(37,1),(39,1)}
        26:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(150,1),(152,1)}
        27:{1,3,4,5,6}:{(18,1),(40,1),(41,1),(54,1),(87,1)}
        28:{2,3,5,6}:{(18,1),(22,1),(40,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(24,1),(43,1),(44,1)}
        30:{1,2,4,6,7}:{(19,1),(44,1),(45,1),(74,1),(79,1)}
        31:{1,2,3,4}:{(47,1)}
        32:{1,2,4,5}:{(20,1),(47,1),(49,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(51,1),(86,1),(108,1),(131,1)}
        34:{1,3,4,6}:{(20,1),(22,1),(42,1),(49,1),(51,1)}
        35:{2,3,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{2,3,4,7}:{(22,1),(24,1),(43,1),(51,1)}
        37:{1,3,5,6}:{(23,1),(25,1),(52,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(24,1),(26,1),(44,1),(53,1),(55,1),(79,1),(145,1),(148,1)}
        39:{1,2,5,7}:{(25,1),(26,1),(55,1)}
        40:{2,4,5,6}:{(27,1),(28,1),(56,1),(57,1)}
        41:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1),(72,1),(102,1)}
        42:{1,3,5,6}:{(28,1),(34,1),(56,1),(59,1),(60,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(36,1),(57,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(61,1)}
        45:{1,2,5,6,7}:{(30,1),(39,1),(62,1),(90,1),(150,1)}
        46:{1,2,3,4,7}:{(31,1),(63,1),(64,1),(121,1)}
        47:{1,2,3,5}:{(31,1),(32,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(95,1),(99,1),(121,1)}
        49:{1,2,4,6}:{(32,1),(34,1),(59,1),(65,1),(67,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(66,1),(68,1)}
        51:{1,3,4,7}:{(34,1),(36,1),(60,1),(67,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(68,1),(70,1),(71,1)}
        53:{2,3,4,6,7}:{(35,1),(36,1),(38,1),(61,1),(69,1),(71,1),(94,1),(136,1),(141,1)}
        54:{1,4,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(71,1),(72,1)}
        56:{1,4,5,6}:{(40,1),(42,1),(73,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(43,1),(73,1),(74,1)}
        58:{1,3,4,6,7}:{(41,1),(44,1),(74,1),(75,1),(79,1),(107,1)}
        59:{1,2,5,6}:{(42,1),(49,1),(76,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(51,1),(73,1),(76,1),(77,1)}
        61:{2,3,6,7}:{(43,1),(44,1),(74,1),(77,1)}
        62:{1,3,5,6,7}:{(44,1),(45,1),(55,1),(78,1),(79,1),(144,1),(145,1)}
        63:{1,2,3,4,6}:{(46,1),(80,1),(81,1),(109,1)}
        64:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(80,1),(81,1),(82,1)}
        65:{1,2,3,6}:{(47,1),(49,1),(82,1)}
        66:{1,2,4,6}:{(48,1),(50,1),(81,1),(83,1)}
        67:{1,2,4,7}:{(49,1),(51,1),(76,1),(82,1)}
        68:{1,3,5,6}:{(50,1),(52,1),(83,1),(85,1),(86,1)}
        69:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(77,1),(84,1),(86,1),(106,1),(127,1),(131,1)}
        70:{2,4,5,6}:{(52,1),(54,1),(85,1),(87,1),(88,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(88,1)}
        72:{1,4,5,7}:{(54,1),(55,1),(79,1),(88,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(60,1),(89,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(61,1),(89,1),(90,1)}
        75:{1,3,5,6,7}:{(58,1),(90,1),(91,1),(116,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(67,1),(92,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(89,1),(92,1)}
        78:{2,3,5,6,7}:{(61,1),(62,1),(71,1),(90,1),(93,1),(94,1),(116,1),(135,1),(136,1)}
        79:{1,4,6,7}:{(62,1),(72,1),(94,1)}
        80:{1,2,3,5}:{(63,1),(95,1)}
        81:{1,2,3,6}:{(64,1),(66,1)}
        82:{1,2,3,7}:{(65,1),(67,1)}
        83:{1,2,5,6}:{(66,1),(68,1),(99,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(69,1),(92,1),(97,1),(99,1),(121,1)}
        85:{1,4,5,6}:{(68,1),(70,1),(101,1)}
        86:{1,3,5,7}:{(68,1),(69,1),(71,1),(99,1),(101,1)}
        87:{3,4,5,6}:{(70,1),(102,1)}
        88:{2,4,5,7}:{(70,1),(71,1),(72,1),(94,1),(101,1),(102,1)}
        89:{1,4,6,7}:{(73,1),(74,1),(77,1),(103,1)}
        90:{2,5,6,7}:{(74,1),(75,1),(103,1)}
        91:{1,4,5,6,7}:{(75,1),(79,1),(104,1),(144,1)}
        92:{1,2,6,7}:{(76,1),(77,1)}
        93:{1,3,5,6,7}:{(77,1),(78,1),(86,1),(103,1),(105,1),(106,1),(127,1)}
        94:{2,4,6,7}:{(78,1),(79,1),(88,1),(106,1),(107,1)}
        95:{1,2,4,5}:{(80,1),(108,1),(109,1)}
        96:{1,2,3,5,6}:{(80,1),(81,1),(83,1),(109,1),(110,1),(111,1)}
        97:{1,2,3,6,7}:{(81,1),(82,1),(84,1),(110,1),(127,1)}
        98:{1,2,4,5,6}:{(83,1),(85,1),(109,1),(111,1),(112,1),(113,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(86,1)}
       100:{1,3,4,5,6}:{(85,1),(87,1),(111,1),(113,1),(114,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
       102:{3,4,5,7}:{(87,1),(88,1),(107,1)}
       103:{1,5,6,7}:{(89,1),(90,1)}
       104:{2,4,5,6,7}:{(90,1),(91,1),(94,1),(115,1),(116,1),(135,1)}
       105:{1,2,5,6,7}:{(92,1),(93,1),(99,1),(117,1),(135,1)}
       106:{1,4,6,7}:{(93,1),(94,1),(101,1)}
       107:{3,4,6,7}:{(94,1),(102,1),(116,1)}
       108:{1,3,4,5}:{(95,1),(119,1),(120,1)}
       109:{1,2,4,6}:{(95,1),(96,1),(120,1),(121,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(99,1),(121,1),(123,1)}
       111:{1,3,5,6}:{(98,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(121,1),(123,1),(125,1)}
       113:{2,4,5,6}:{(100,1),(122,1),(124,1),(125,1)}
       114:{1,3,4,5,7}:{(100,1),(101,1),(102,1),(118,1),(123,1),(125,1)}
       115:{1,4,5,6,7}:{(103,1),(104,1),(106,1),(126,1)}
       116:{3,5,6,7}:{(104,1),(107,1)}
       117:{1,2,4,6,7}:{(105,1),(106,1),(112,1),(127,1),(128,1)}
       118:{1,3,4,6,7}:{(106,1),(107,1),(114,1),(126,1),(127,1),(128,1)}
       119:{2,3,4,5}:{(108,1),(129,1),(130,1)}
       120:{1,3,4,6}:{(108,1),(109,1),(111,1),(130,1),(131,1)}
       121:{1,2,4,7}:{(109,1),(110,1),(131,1)}
       122:{2,3,5,6}:{(111,1),(113,1),(130,1),(132,1),(133,1)}
       123:{1,3,5,7}:{(111,1),(112,1),(127,1),(131,1),(133,1)}
       124:{1,4,5,6}:{(113,1),(132,1),(134,1)}
       125:{2,4,5,7}:{(113,1),(114,1),(128,1),(133,1),(134,1)}
       126:{1,3,5,6,7}:{(115,1),(116,1),(118,1),(135,1)}
       127:{1,3,6,7}:{(117,1),(123,1),(136,1)}
       128:{2,4,6,7}:{(118,1),(125,1),(135,1),(136,1),(137,1)}
       129:{1,3,4,5}:{(119,1),(139,1),(140,1)}
       130:{2,3,4,6}:{(119,1),(120,1),(122,1),(140,1),(141,1)}
       131:{1,3,4,7}:{(120,1),(121,1),(123,1),(141,1)}
       132:{1,3,5,6}:{(122,1),(124,1),(140,1),(142,1),(143,1)}
       133:{2,3,5,7}:{(122,1),(123,1),(125,1),(136,1),(141,1),(143,1)}
       134:{1,4,5,7}:{(124,1),(125,1),(137,1),(143,1)}
       135:{2,5,6,7}:{(126,1),(128,1),(144,1)}
       136:{2,3,6,7}:{(127,1),(128,1),(133,1),(145,1)}
       137:{1,4,6,7}:{(128,1),(134,1),(144,1),(145,1)}
       138:{1,2,3,4}:{(146,1)}
       139:{1,2,4,5}:{(129,1),(146,1),(147,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{2,3,4,7}:{(130,1),(131,1),(133,1),(148,1)}
       142:{1,2,5,6}:{(132,1),(147,1),(149,1)}
       143:{1,3,5,7}:{(132,1),(133,1),(134,1),(145,1),(148,1),(149,1)}
       144:{1,5,6,7}:{(135,1),(137,1)}
       145:{1,3,6,7}:{(136,1),(137,1),(143,1),(150,1)}
       146:{1,2,3,5}:{(138,1),(139,1),(151,1)}
       147:{1,2,4,6}:{(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,2,5,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2674 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(100,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(68,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(111,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(32,1),(35,1),(68,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(32,1),(40,1),(65,1),(68,1),(96,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(83,1),(121,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(50,1),(101,1),(120,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(50,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(47,1),(55,1),(83,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(50,1),(82,1)}
        14:{1,2,3,7}:{(26,1),(27,1),(114,1)}
        15:{1,3,4,7}:{(7,1),(27,1),(28,1),(29,1),(95,1),(114,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(66,1),(89,1),(113,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(29,1),(30,1),(31,1)}
        18:{1,3,5}:{(8,1),(10,1),(30,1),(32,1)}
        19:{1,3,6}:{(9,1),(11,1),(31,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(33,1),(35,1),(37,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(34,1),(35,1),(38,1),(68,1)}
        22:{1,4,5,7}:{(12,1),(29,1),(36,1),(62,1),(70,1),(95,1)}
        23:{2,4,6}:{(12,1),(13,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,6}:{(13,1),(37,1),(39,1),(40,1),(71,1)}
        25:{1,3,4,6,7}:{(13,1),(34,1),(38,1),(40,1),(58,1),(68,1),(88,1),(96,1)}
        26:{1,2,3,6}:{(14,1),(42,1),(43,1),(103,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(43,1),(44,1)}
        28:{1,3,4,6}:{(15,1),(16,1),(43,1),(45,1),(46,1),(75,1),(80,1),(103,1)}
        29:{1,3,5,7}:{(15,1),(17,1),(22,1),(44,1),(45,1),(46,1)}
        30:{2,3,5}:{(16,1),(18,1),(45,1),(47,1)}
        31:{2,3,6}:{(17,1),(19,1),(23,1),(46,1)}
        32:{1,4,5}:{(18,1),(47,1),(50,1)}
        33:{1,3,5,6}:{(18,1),(19,1),(20,1),(48,1),(50,1),(51,1),(108,1),(120,1)}
        34:{1,3,6,7}:{(19,1),(21,1),(49,1),(51,1),(118,1)}
        35:{1,2,5,7}:{(20,1),(21,1),(51,1),(55,1),(125,1)}
        36:{1,4,6}:{(22,1),(23,1),(46,1),(52,1)}
        37:{2,5,6}:{(23,1),(24,1),(52,1),(55,1)}
        38:{2,4,6,7}:{(23,1),(25,1),(49,1),(53,1),(55,1),(83,1)}
        39:{1,4,5,6}:{(24,1),(50,1),(54,1),(56,1),(108,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(55,1),(56,1),(86,1)}
        41:{1,3,5,6,7}:{(40,1),(57,1),(58,1),(88,1)}
        42:{1,2,3,5}:{(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(28,1),(59,1),(60,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        45:{1,3,5}:{(28,1),(30,1),(60,1),(62,1)}
        46:{1,3,6}:{(29,1),(31,1),(36,1),(61,1)}
        47:{2,4,5}:{(30,1),(32,1),(62,1),(65,1),(66,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(33,1),(37,1),(63,1),(66,1),(67,1),(71,1),(97,1),(113,1)}
        49:{2,3,6,7}:{(31,1),(34,1),(38,1),(64,1),(67,1),(88,1),(110,1)}
        50:{1,4,6}:{(32,1),(33,1),(66,1),(68,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(35,1),(67,1),(68,1),(117,1),(124,1)}
        52:{1,5,6}:{(36,1),(37,1),(70,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(64,1),(70,1),(95,1)}
        54:{2,4,5,6}:{(37,1),(39,1),(66,1),(69,1),(71,1),(72,1),(97,1)}
        55:{2,5,7}:{(37,1),(38,1),(40,1),(70,1)}
        56:{1,4,5,7}:{(39,1),(40,1),(58,1),(68,1),(72,1),(117,1)}
        57:{2,5,6,7}:{(41,1),(55,1),(73,1),(74,1)}
        58:{1,4,6,7}:{(41,1),(56,1),(74,1),(118,1)}
        59:{1,2,4}:{(42,1),(75,1)}
        60:{1,2,5}:{(43,1),(45,1)}
        61:{1,2,6}:{(44,1),(46,1)}
        62:{1,4,5}:{(45,1),(47,1),(80,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(48,1),(52,1),(77,1),(80,1),(81,1),(103,1)}
        64:{1,3,6,7}:{(46,1),(49,1),(53,1),(78,1),(81,1)}
        65:{3,4,5}:{(47,1),(82,1)}
        66:{2,4,6}:{(47,1),(48,1),(50,1),(80,1),(82,1),(83,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(81,1),(83,1),(86,1),(109,1),(121,1)}
        68:{1,4,7}:{(50,1),(51,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(54,1),(80,1),(84,1),(85,1)}
        70:{1,5,7}:{(52,1),(53,1),(55,1)}
        71:{3,5,6}:{(54,1),(82,1),(86,1)}
        72:{2,4,5,7}:{(54,1),(55,1),(56,1),(74,1),(83,1),(85,1),(86,1),(109,1)}
        73:{1,5,6,7}:{(57,1),(70,1),(87,1)}
        74:{2,4,6,7}:{(57,1),(58,1),(72,1),(87,1),(88,1),(110,1)}
        75:{1,3,4}:{(59,1),(89,1),(90,1)}
        76:{1,2,4,5}:{(59,1),(60,1),(62,1),(90,1),(91,1),(93,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(63,1),(91,1),(92,1),(97,1)}
        78:{1,2,6,7}:{(61,1),(64,1),(92,1),(110,1)}
        79:{1,3,4,5}:{(62,1),(65,1),(90,1),(93,1),(94,1)}
        80:{1,4,6}:{(62,1),(63,1),(66,1),(95,1)}
        81:{1,3,5,7}:{(63,1),(64,1),(67,1),(70,1),(92,1),(95,1),(114,1)}
        82:{3,4,6}:{(65,1),(66,1),(71,1),(96,1)}
        83:{2,4,7}:{(66,1),(67,1),(68,1),(95,1),(96,1)}
        84:{1,3,5,6}:{(69,1),(71,1),(94,1),(97,1),(98,1)}
        85:{1,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(95,1),(98,1)}
        86:{3,5,7}:{(71,1),(72,1),(88,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(85,1),(99,1)}
        88:{3,6,7}:{(74,1),(86,1)}
        89:{2,3,4}:{(75,1),(101,1),(102,1)}
        90:{1,3,5}:{(75,1),(76,1),(102,1),(103,1)}
        91:{1,2,4,6}:{(76,1),(77,1),(80,1),(103,1),(104,1),(106,1)}
        92:{1,2,5,7}:{(77,1),(78,1),(81,1),(104,1),(109,1)}
        93:{2,4,5}:{(79,1),(102,1),(105,1),(106,1)}
        94:{1,3,4,6}:{(79,1),(80,1),(82,1),(84,1),(103,1),(106,1),(107,1)}
        95:{1,4,7}:{(80,1),(81,1),(83,1)}
        96:{3,4,7}:{(82,1),(83,1),(86,1)}
        97:{2,5,6}:{(84,1),(106,1),(108,1),(109,1)}
        98:{1,3,5,7}:{(84,1),(85,1),(86,1),(99,1),(107,1),(109,1)}
        99:{1,3,6,7}:{(87,1),(88,1),(98,1),(110,1)}
       100:{1,2,3}:{(111,1)}
       101:{1,3,4}:{(89,1),(111,1),(112,1)}
       102:{2,3,5}:{(89,1),(90,1),(93,1),(112,1),(113,1)}
       103:{1,3,6}:{(90,1),(91,1),(113,1),(114,1)}
       104:{1,2,4,7}:{(91,1),(92,1),(95,1),(114,1),(116,1)}
       105:{1,4,5}:{(93,1),(112,1),(115,1)}
       106:{2,4,6}:{(93,1),(94,1),(97,1),(113,1),(115,1),(116,1)}
       107:{1,3,4,7}:{(94,1),(95,1),(96,1),(98,1),(114,1),(116,1)}
       108:{1,5,6}:{(97,1),(115,1),(117,1)}
       109:{2,5,7}:{(97,1),(98,1),(110,1),(116,1),(117,1)}
       110:{2,6,7}:{(99,1),(109,1),(118,1)}
       111:{1,2,4}:{(100,1),(101,1),(119,1)}
       112:{1,3,5}:{(101,1),(102,1),(105,1),(119,1),(120,1)}
       113:{2,3,6}:{(102,1),(103,1),(106,1),(120,1),(121,1)}
       114:{1,3,7}:{(103,1),(104,1),(121,1)}
       115:{1,4,6}:{(105,1),(106,1),(108,1),(120,1),(122,1)}
       116:{2,4,7}:{(106,1),(107,1),(109,1),(121,1),(122,1)}
       117:{1,5,7}:{(108,1),(109,1),(118,1),(122,1)}
       118:{1,6,7}:{(110,1),(117,1)}
       119:{1,2,5}:{(111,1),(112,1),(123,1)}
       120:{1,3,6}:{(112,1),(113,1),(115,1),(123,1),(124,1)}
       121:{2,3,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,4,7}:{(115,1),(116,1),(117,1),(124,1)}
       123:{1,2,6}:{(119,1),(120,1),(125,1)}
       124:{1,3,7}:{(120,1),(121,1),(122,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2675 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(147,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(24,1),(29,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(138,1),(152,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(17,1),(44,1),(128,1),(145,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(40,1),(44,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,3,4}:{(19,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(22,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(24,1),(25,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(25,1),(26,1),(59,1),(116,1),(136,1)}
        15:{1,2,4,5,6}:{(7,1),(24,1),(27,1),(29,1),(45,1),(60,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(29,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(58,1),(152,1)}
        19:{1,2,3,5}:{(11,1),(31,1),(32,1)}
        20:{1,2,3,4,7}:{(11,1),(33,1),(34,1),(101,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(35,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(37,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(75,1),(103,1),(126,1)}
        24:{1,3,5,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,7}:{(13,1),(16,1),(38,1),(40,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(39,1),(42,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(145,1),(153,1)}
        29:{1,2,5,6}:{(17,1),(42,1),(44,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(60,1),(93,1)}
        31:{1,2,4,5}:{(19,1),(21,1),(47,1)}
        32:{1,2,3,6}:{(19,1),(47,1),(49,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(48,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,4,6}:{(20,1),(50,1),(51,1),(86,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(47,1),(52,1),(53,1)}
        36:{1,3,4,5,7}:{(21,1),(23,1),(48,1),(53,1),(54,1),(87,1),(89,1),(114,1)}
        37:{2,3,5,6}:{(22,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(25,1),(53,1),(55,1)}
        39:{2,3,4,6}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(27,1),(55,1),(58,1)}
        41:{1,3,4,6,7}:{(25,1),(26,1),(28,1),(56,1),(58,1),(59,1),(94,1),(136,1),(150,1)}
        42:{1,3,5,6}:{(26,1),(29,1),(57,1),(59,1),(60,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(59,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(35,1),(65,1),(66,1)}
        48:{1,2,4,5,7}:{(31,1),(33,1),(36,1),(66,1),(67,1),(70,1),(99,1),(101,1)}
        49:{1,2,3,7}:{(32,1),(66,1)}
        50:{1,2,3,6}:{(33,1),(67,1)}
        51:{1,2,3,5}:{(34,1),(70,1)}
        52:{1,3,5,6}:{(35,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,7}:{(35,1),(38,1),(66,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(39,1),(67,1),(73,1)}
        55:{2,3,5,7}:{(37,1),(38,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(74,1),(75,1),(107,1),(126,1),(142,1)}
        57:{2,3,5,6}:{(39,1),(42,1),(73,1),(75,1),(76,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(75,1),(78,1)}
        60:{1,4,5,6}:{(42,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(47,1),(52,1),(82,1)}
        66:{1,2,4,7}:{(47,1),(49,1),(53,1),(82,1)}
        67:{1,2,4,6}:{(48,1),(50,1),(54,1),(84,1)}
        68:{1,2,3,6,7}:{(49,1),(50,1),(83,1),(85,1),(133,1)}
        69:{1,2,3,5,6}:{(50,1),(51,1),(84,1),(85,1),(86,1),(113,1)}
        70:{1,2,4,5}:{(51,1),(86,1),(87,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(83,1),(88,1),(89,1),(114,1),(117,1),(133,1)}
        73:{1,3,5,6}:{(54,1),(57,1),(84,1),(89,1),(90,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,3,5,7}:{(56,1),(57,1),(59,1),(89,1),(92,1)}
        76:{2,4,5,6}:{(57,1),(60,1),(90,1),(92,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(59,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(92,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(71,1),(98,1)}
        83:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(98,1),(99,1),(101,1)}
        84:{1,2,5,6}:{(67,1),(73,1),(99,1)}
        85:{1,2,3,5,7}:{(68,1),(69,1),(99,1),(101,1),(124,1)}
        86:{1,2,4,6}:{(69,1),(70,1),(101,1),(102,1)}
        87:{1,3,4,5}:{(70,1),(102,1),(103,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,3,5,7}:{(72,1),(73,1),(75,1),(99,1),(105,1)}
        90:{1,4,5,6}:{(73,1),(76,1),(105,1)}
        91:{2,3,5,6,7}:{(74,1),(75,1),(77,1),(96,1),(104,1),(107,1),(122,1),(141,1),(142,1)}
        92:{2,4,5,7}:{(75,1),(76,1),(78,1),(105,1),(107,1),(108,1)}
        93:{3,4,5,6}:{(76,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(89,1)}
       100:{1,2,4,5,6}:{(84,1),(86,1),(90,1),(112,1),(113,1),(119,1)}
       101:{1,2,4,7}:{(85,1),(86,1),(114,1)}
       102:{1,3,4,6}:{(86,1),(87,1),(113,1),(114,1),(115,1)}
       103:{2,3,4,5}:{(87,1),(115,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(89,1),(91,1),(109,1),(111,1),(117,1),(133,1)}
       105:{1,4,5,7}:{(89,1),(90,1),(92,1),(117,1)}
       106:{1,3,4,5,6}:{(90,1),(93,1),(113,1),(118,1),(119,1)}
       107:{2,4,6,7}:{(91,1),(92,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(141,1)}
       111:{1,2,5,6,7}:{(98,1),(99,1),(104,1),(123,1),(141,1)}
       112:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(105,1),(123,1),(124,1),(130,1)}
       113:{1,3,5,6}:{(100,1),(102,1),(124,1),(125,1)}
       114:{1,3,4,7}:{(101,1),(102,1),(124,1),(126,1)}
       115:{2,3,4,6}:{(102,1),(103,1),(125,1),(126,1),(127,1)}
       116:{1,3,4,5}:{(103,1),(127,1),(128,1)}
       117:{1,4,6,7}:{(104,1),(105,1),(107,1)}
       118:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(124,1),(129,1),(130,1)}
       119:{2,4,5,6}:{(106,1),(125,1),(130,1),(131,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(132,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(112,1),(117,1),(133,1),(139,1)}
       124:{1,3,5,7}:{(112,1),(113,1),(114,1),(133,1),(134,1)}
       125:{2,3,5,6}:{(113,1),(115,1),(119,1),(134,1),(135,1)}
       126:{2,3,4,7}:{(114,1),(115,1),(134,1),(136,1)}
       127:{1,3,4,6}:{(115,1),(116,1),(135,1),(136,1),(137,1)}
       128:{1,2,4,5}:{(116,1),(137,1),(138,1)}
       129:{1,3,4,6,7}:{(117,1),(118,1),(120,1),(132,1),(133,1),(139,1)}
       130:{2,4,5,7}:{(118,1),(119,1),(134,1),(139,1),(140,1)}
       131:{1,4,5,6}:{(119,1),(135,1),(140,1)}
       132:{1,3,5,6,7}:{(121,1),(122,1),(129,1),(141,1)}
       133:{1,3,6,7}:{(123,1),(124,1),(142,1)}
       134:{2,3,5,7}:{(124,1),(125,1),(126,1),(130,1),(142,1),(143,1)}
       135:{1,3,5,6}:{(125,1),(127,1),(131,1),(143,1),(144,1)}
       136:{1,3,4,7}:{(126,1),(127,1),(143,1),(145,1)}
       137:{1,2,4,6}:{(127,1),(128,1),(144,1),(145,1),(146,1)}
       138:{1,2,3,5}:{(128,1),(146,1),(147,1)}
       139:{2,4,6,7}:{(129,1),(130,1),(141,1),(142,1),(148,1)}
       140:{1,4,5,7}:{(130,1),(131,1),(143,1),(148,1)}
       141:{2,5,6,7}:{(132,1),(139,1),(149,1)}
       142:{2,3,6,7}:{(133,1),(134,1),(139,1),(150,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(140,1),(150,1),(151,1)}
       144:{1,2,5,6}:{(135,1),(137,1),(151,1)}
       145:{1,2,4,7}:{(136,1),(137,1),(151,1),(152,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,3,4}:{(138,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(141,1),(148,1)}
       150:{1,3,6,7}:{(142,1),(143,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(143,1),(144,1),(145,1),(153,1)}
       152:{1,2,3,7}:{(145,1),(146,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2676 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(5,1),(22,1),(74,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(122,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(93,1)}
         4:{1,3,4,7}:{(2,1),(9,1),(10,1),(11,1),(68,1),(116,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(90,1),(115,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(30,1),(34,1),(37,1),(68,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(77,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(82,1),(107,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(51,1),(75,1),(106,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(19,1),(21,1),(22,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,6}:{(6,1),(22,1),(23,1),(45,1),(51,1)}
        14:{1,3,4,7}:{(8,1),(9,1),(25,1),(26,1),(89,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(27,1),(28,1),(58,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(8,1),(26,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(25,1),(31,1),(32,1),(57,1),(64,1),(92,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(26,1),(30,1),(31,1),(32,1)}
        20:{1,3,4,5,7}:{(11,1),(30,1),(33,1),(34,1),(63,1),(67,1),(68,1),(97,1)}
        21:{1,3,5}:{(10,1),(12,1),(31,1),(34,1)}
        22:{1,3,6}:{(11,1),(13,1),(32,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(35,1),(37,1),(61,1),(115,1)}
        24:{1,2,4,6,7}:{(13,1),(36,1),(37,1),(62,1),(68,1)}
        25:{1,3,4,6}:{(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(72,1),(77,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(39,1),(40,1)}
        27:{1,2,4}:{(15,1),(41,1)}
        28:{1,2,5}:{(16,1),(39,1)}
        29:{1,2,6}:{(17,1),(40,1)}
        30:{2,4,5,7}:{(19,1),(20,1),(38,1),(45,1),(46,1),(80,1),(82,1)}
        31:{2,3,5}:{(18,1),(21,1),(39,1),(46,1)}
        32:{2,3,6}:{(19,1),(22,1),(40,1),(45,1)}
        33:{1,3,4,6}:{(20,1),(22,1),(45,1),(49,1),(51,1),(81,1)}
        34:{1,4,5}:{(21,1),(46,1),(51,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(106,1),(119,1)}
        36:{1,3,6,7}:{(22,1),(24,1),(48,1),(52,1),(125,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(52,1),(80,1),(122,1)}
        38:{1,4,5,7}:{(26,1),(30,1),(53,1),(54,1),(86,1),(89,1)}
        39:{1,3,5}:{(25,1),(28,1),(31,1),(54,1)}
        40:{1,3,6}:{(26,1),(29,1),(32,1),(53,1)}
        41:{1,3,4}:{(27,1),(57,1),(58,1)}
        42:{1,2,4,5}:{(27,1),(28,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,2,5,6}:{(28,1),(29,1),(55,1),(59,1),(60,1),(111,1)}
        44:{1,2,6,7}:{(29,1),(56,1),(60,1),(123,1)}
        45:{2,4,6}:{(30,1),(32,1),(33,1),(53,1),(61,1)}
        46:{2,4,5}:{(31,1),(34,1),(54,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(35,1),(55,1),(61,1),(64,1),(65,1),(92,1),(95,1),(111,1)}
        48:{2,3,6,7}:{(32,1),(36,1),(56,1),(62,1),(65,1),(117,1),(123,1)}
        49:{1,3,5,6}:{(33,1),(61,1),(66,1),(67,1),(95,1)}
        50:{1,3,4,6,7}:{(33,1),(36,1),(62,1),(67,1),(68,1),(97,1),(98,1),(117,1)}
        51:{1,4,6}:{(34,1),(35,1),(64,1),(68,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(37,1),(65,1),(68,1),(116,1),(124,1)}
        53:{1,4,6}:{(38,1),(40,1),(45,1),(69,1)}
        54:{1,4,5}:{(39,1),(46,1),(72,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(47,1),(69,1),(72,1),(73,1),(77,1)}
        56:{1,3,6,7}:{(40,1),(44,1),(48,1),(70,1),(73,1)}
        57:{2,3,4}:{(41,1),(75,1),(76,1)}
        58:{1,3,5}:{(41,1),(42,1),(76,1),(77,1)}
        59:{1,2,4,6}:{(42,1),(43,1),(72,1),(77,1),(78,1),(103,1)}
        60:{1,2,5,7}:{(43,1),(44,1),(73,1),(78,1),(120,1)}
        61:{2,5,6}:{(45,1),(49,1),(69,1),(80,1)}
        62:{2,4,6,7}:{(45,1),(48,1),(50,1),(70,1),(80,1),(82,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(51,1),(72,1),(81,1),(82,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(52,1),(73,1),(80,1),(82,1),(107,1),(109,1),(120,1)}
        66:{1,4,5,6}:{(49,1),(51,1),(79,1),(84,1),(119,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(109,1)}
        68:{1,4,7}:{(51,1),(52,1),(82,1)}
        69:{1,5,6}:{(53,1),(61,1),(86,1)}
        70:{1,4,6,7}:{(53,1),(56,1),(62,1),(86,1),(89,1)}
        71:{1,3,4,5}:{(54,1),(58,1),(63,1),(87,1),(88,1)}
        72:{1,4,6}:{(54,1),(55,1),(64,1),(89,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(60,1),(65,1),(86,1),(89,1),(93,1)}
        74:{1,2,3}:{(90,1)}
        75:{1,3,4}:{(57,1),(90,1),(91,1)}
        76:{2,3,5}:{(57,1),(58,1),(87,1),(91,1),(92,1)}
        77:{1,3,6}:{(58,1),(59,1),(92,1),(93,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(89,1),(93,1),(114,1)}
        79:{2,4,5,6}:{(61,1),(64,1),(66,1),(85,1),(95,1),(96,1),(111,1)}
        80:{2,5,7}:{(61,1),(62,1),(67,1),(86,1)}
        81:{3,4,6}:{(63,1),(64,1),(95,1),(97,1)}
        82:{2,4,7}:{(64,1),(65,1),(68,1),(89,1),(97,1)}
        83:{1,3,5,6,7}:{(67,1),(94,1),(98,1),(117,1)}
        84:{1,4,5,7}:{(66,1),(67,1),(68,1),(96,1),(98,1),(124,1)}
        85:{1,4,5,6}:{(69,1),(72,1),(79,1),(100,1),(101,1)}
        86:{1,5,7}:{(69,1),(70,1),(80,1)}
        87:{2,4,5}:{(71,1),(76,1),(102,1),(103,1)}
        88:{1,3,4,6}:{(71,1),(72,1),(77,1),(81,1),(100,1),(103,1),(104,1)}
        89:{1,4,7}:{(72,1),(73,1),(82,1)}
        90:{1,2,4}:{(74,1),(75,1),(105,1)}
        91:{1,3,5}:{(75,1),(76,1),(102,1),(105,1),(106,1)}
        92:{2,3,6}:{(76,1),(77,1),(103,1),(106,1),(107,1)}
        93:{1,3,7}:{(77,1),(78,1),(107,1)}
        94:{2,5,6,7}:{(80,1),(83,1),(99,1),(108,1)}
        95:{3,5,6}:{(79,1),(81,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(80,1),(82,1),(84,1),(101,1),(108,1),(109,1),(120,1)}
        97:{3,4,7}:{(81,1),(82,1),(109,1)}
        98:{1,4,6,7}:{(83,1),(84,1),(108,1),(125,1)}
        99:{1,5,6,7}:{(86,1),(94,1),(110,1)}
       100:{1,3,5,6}:{(85,1),(88,1),(95,1),(111,1),(112,1)}
       101:{1,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(110,1),(112,1)}
       102:{1,4,5}:{(87,1),(91,1),(113,1)}
       103:{2,4,6}:{(87,1),(88,1),(92,1),(111,1),(113,1),(114,1)}
       104:{1,3,4,7}:{(88,1),(89,1),(93,1),(97,1),(112,1),(114,1)}
       105:{1,2,5}:{(90,1),(91,1),(115,1)}
       106:{1,3,6}:{(91,1),(92,1),(113,1),(115,1),(116,1)}
       107:{2,3,7}:{(92,1),(93,1),(114,1),(116,1)}
       108:{2,4,6,7}:{(94,1),(96,1),(98,1),(110,1),(117,1),(123,1)}
       109:{3,5,7}:{(95,1),(96,1),(97,1),(117,1)}
       110:{1,4,6,7}:{(99,1),(101,1),(108,1),(118,1)}
       111:{2,5,6}:{(100,1),(103,1),(119,1),(120,1)}
       112:{1,3,5,7}:{(100,1),(101,1),(104,1),(109,1),(118,1),(120,1)}
       113:{1,4,6}:{(102,1),(103,1),(106,1),(119,1),(121,1)}
       114:{2,4,7}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,2,6}:{(105,1),(106,1),(122,1)}
       116:{1,3,7}:{(106,1),(107,1),(121,1),(122,1)}
       117:{3,6,7}:{(108,1),(109,1)}
       118:{1,3,6,7}:{(110,1),(112,1),(117,1),(123,1)}
       119:{1,5,6}:{(111,1),(113,1),(124,1)}
       120:{2,5,7}:{(111,1),(112,1),(114,1),(123,1),(124,1)}
       121:{1,4,7}:{(113,1),(114,1),(116,1),(124,1)}
       122:{1,2,7}:{(115,1),(116,1)}
       123:{2,6,7}:{(118,1),(120,1),(125,1)}
       124:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2677 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2678 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2679 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2680 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2681 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2682 :   0:{2,3,4,5,6}:{(1,1),(2,1),(19,1),(23,1),(55,1),(116,1)}
         1:{1,3,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(34,1),(72,1),(107,1),(108,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(33,1),(105,1)}
         3:{2,4,5,6}:{(1,1),(7,1),(8,1),(49,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(21,1),(92,1),(94,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(51,1),(55,1),(90,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(12,1),(32,1),(43,1),(64,1),(80,1),(100,1),(104,1),(107,1)}
         7:{2,3,5,6}:{(3,1),(11,1),(13,1),(14,1),(67,1),(102,1)}
         8:{2,4,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(36,1),(72,1),(74,1),(77,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(75,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(59,1),(82,1),(95,1),(111,1)}
        12:{1,2,4,5,7}:{(6,1),(8,1),(21,1),(22,1),(50,1),(89,1),(92,1)}
        13:{2,3,4,6}:{(7,1),(20,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1),(25,1)}
        15:{2,4,6,7}:{(8,1),(9,1),(25,1),(26,1),(88,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(58,1),(91,1)}
        17:{2,4,5,6,7}:{(10,1),(27,1),(28,1),(90,1),(93,1)}
        18:{1,2,3,5,6}:{(19,1),(29,1),(30,1),(59,1),(95,1),(97,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(33,1),(67,1),(102,1),(104,1)}
        20:{1,3,4,6}:{(11,1),(13,1),(32,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(14,1),(33,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(12,1),(15,1),(36,1),(37,1),(70,1),(74,1),(80,1),(100,1)}
        23:{2,3,4,5}:{(13,1),(34,1),(67,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1),(36,1),(102,1)}
        26:{2,5,6,7}:{(15,1),(16,1),(104,1)}
        27:{1,4,5,6,7}:{(16,1),(17,1),(41,1),(74,1),(107,1)}
        28:{3,4,5,6,7}:{(17,1),(106,1),(108,1)}
        29:{1,2,4,6}:{(18,1),(32,1),(42,1),(43,1),(44,1)}
        30:{1,2,3,5,7}:{(18,1),(33,1),(44,1),(45,1),(78,1),(81,1)}
        31:{1,2,3,5,6}:{(19,1),(46,1),(47,1),(82,1),(111,1),(113,1)}
        32:{2,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        33:{2,3,5,7}:{(19,1),(21,1),(50,1),(51,1),(89,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(49,1),(59,1),(82,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(50,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(25,1),(51,1),(95,1),(111,1)}
        37:{1,2,5,6,7}:{(22,1),(26,1),(54,1),(89,1),(97,1),(113,1)}
        38:{2,3,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(56,1),(86,1),(115,1)}
        39:{2,3,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(57,1),(58,1),(114,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(57,1),(58,1),(116,1)}
        42:{1,3,4,6}:{(29,1),(48,1),(59,1),(60,1),(95,1)}
        43:{1,2,4,5}:{(29,1),(49,1),(59,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(60,1)}
        45:{1,2,3,6,7}:{(30,1),(51,1),(62,1),(95,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(64,1),(65,1)}
        47:{1,2,3,5,7}:{(31,1),(33,1),(65,1),(66,1),(98,1),(101,1)}
        48:{2,3,4,6}:{(32,1),(42,1),(63,1),(67,1),(68,1),(102,1)}
        49:{2,4,5}:{(32,1),(34,1),(67,1)}
        50:{2,4,7}:{(32,1),(33,1),(35,1)}
        51:{2,3,6,7}:{(33,1),(36,1),(70,1),(102,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(69,1),(72,1),(73,1),(78,1),(98,1),(110,1),(120,1),(122,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(72,1),(73,1),(74,1),(106,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(40,1),(71,1),(73,1),(74,1),(109,1),(119,1)}
        55:{2,3,4,6}:{(38,1),(72,1),(75,1),(102,1),(121,1)}
        56:{2,3,5,7}:{(39,1),(73,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(40,1),(74,1),(76,1),(77,1),(121,1)}
        58:{3,5,6,7}:{(41,1),(77,1),(123,1)}
        59:{1,3,5}:{(42,1),(43,1),(67,1)}
        60:{1,3,4,7}:{(42,1),(44,1),(68,1),(78,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(69,1),(78,1),(80,1),(81,1),(110,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(79,1),(80,1),(81,1)}
        63:{1,3,4,6}:{(46,1),(48,1),(82,1),(83,1),(111,1)}
        64:{1,2,4,5}:{(46,1),(49,1),(82,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(83,1)}
        66:{1,2,3,6,7}:{(47,1),(51,1),(85,1),(111,1)}
        67:{2,3,5}:{(48,1),(49,1),(59,1),(82,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(60,1),(83,1),(86,1)}
        69:{2,4,5,7}:{(49,1),(50,1),(52,1),(86,1),(88,1),(89,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(53,1),(88,1),(89,1)}
        71:{2,3,5,6,7}:{(51,1),(54,1),(89,1),(90,1),(114,1),(117,1)}
        72:{1,3,4,6}:{(52,1),(55,1),(88,1),(91,1),(95,1),(111,1),(118,1),(124,1),(125,1)}
        73:{1,3,5,7}:{(53,1),(56,1),(89,1),(91,1),(92,1),(117,1)}
        74:{1,4,6,7}:{(54,1),(57,1),(90,1),(92,1),(118,1),(124,1)}
        75:{2,3,5,6}:{(55,1),(56,1),(91,1),(93,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(94,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(94,1),(125,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(61,1),(86,1),(95,1)}
        79:{1,3,4,6,7}:{(60,1),(62,1),(87,1),(95,1),(96,1),(118,1)}
        80:{1,2,4,6}:{(61,1),(88,1),(95,1),(97,1),(118,1)}
        81:{1,2,5,7}:{(62,1),(89,1),(96,1),(97,1)}
        82:{1,3,5}:{(63,1),(64,1),(67,1)}
        83:{1,3,4,7}:{(63,1),(65,1),(68,1),(98,1)}
        84:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(98,1),(100,1),(101,1),(120,1)}
        85:{1,2,4,6,7}:{(65,1),(66,1),(70,1),(99,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(69,1),(78,1),(98,1),(102,1)}
        87:{2,3,4,6,7}:{(68,1),(70,1),(79,1),(99,1),(102,1),(103,1),(106,1),(121,1)}
        88:{2,4,6}:{(69,1),(72,1),(102,1),(104,1)}
        89:{2,5,7}:{(70,1),(73,1),(104,1)}
        90:{2,4,6,7}:{(71,1),(74,1),(105,1),(106,1),(121,1)}
        91:{1,3,5,6}:{(72,1),(73,1),(75,1),(104,1),(107,1),(123,1)}
        92:{1,4,5,7}:{(73,1),(74,1),(76,1),(105,1),(107,1)}
        93:{2,4,5,6}:{(75,1),(76,1),(107,1),(108,1),(121,1)}
        94:{3,4,5,7}:{(76,1),(77,1),(108,1)}
        95:{1,3,6}:{(78,1),(80,1),(102,1)}
        96:{1,3,5,7}:{(79,1),(81,1),(103,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(104,1),(109,1)}
        98:{1,3,5,7}:{(82,1),(83,1),(84,1),(86,1),(111,1)}
        99:{1,3,4,6,7}:{(83,1),(85,1),(87,1),(111,1),(112,1),(124,1)}
       100:{1,2,4,6}:{(84,1),(88,1),(111,1),(113,1),(124,1)}
       101:{1,2,5,7}:{(85,1),(89,1),(112,1),(113,1)}
       102:{2,3,6}:{(86,1),(88,1),(95,1),(111,1)}
       103:{2,3,5,7}:{(87,1),(89,1),(96,1),(112,1),(114,1),(115,1),(117,1)}
       104:{2,5,6}:{(88,1),(89,1),(91,1)}
       105:{2,4,5,7}:{(89,1),(90,1),(92,1),(116,1),(117,1)}
       106:{3,4,6,7}:{(90,1),(117,1),(125,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(93,1),(116,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,3,5,6}:{(95,1),(96,1),(97,1),(114,1),(118,1)}
       110:{1,4,5,7}:{(96,1),(115,1),(118,1)}
       111:{1,3,6}:{(98,1),(100,1),(102,1)}
       112:{1,3,5,7}:{(99,1),(101,1),(103,1),(119,1),(120,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(104,1),(119,1)}
       114:{2,3,5,6}:{(102,1),(103,1),(104,1),(109,1),(119,1),(121,1),(123,1)}
       115:{2,4,5,7}:{(103,1),(110,1),(120,1),(121,1),(122,1)}
       116:{2,4,5,6}:{(104,1),(105,1),(107,1),(121,1),(123,1)}
       117:{3,5,7}:{(105,1),(106,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(121,1)}
       119:{1,3,5,6}:{(111,1),(112,1),(113,1),(114,1),(124,1)}
       120:{1,4,5,7}:{(112,1),(115,1),(124,1)}
       121:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       122:{3,4,5,7}:{(115,1),(117,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(121,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2683 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2684 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2685 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2686 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2687 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(107,1),(145,1),(150,1)}
         1:{3,4,5,6,7}:{(4,1),(123,1),(184,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(42,1),(124,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(76,1),(119,1),(125,1),(160,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(98,1),(177,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(55,1),(98,1),(150,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(29,1),(53,1),(99,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(135,1),(171,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(166,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(74,1),(183,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(74,1),(160,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(43,1),(71,1),(121,1),(125,1),(128,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(20,1)}
        13:{2,3,5,6}:{(7,1),(19,1),(20,1),(21,1),(113,1),(155,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(174,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(52,1),(187,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(171,1)}
        17:{2,3,4,5,6}:{(26,1),(27,1),(32,1),(65,1),(88,1),(187,1)}
        18:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(29,1),(62,1),(99,1),(103,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(30,1),(95,1),(142,1)}
        20:{2,3,5,7}:{(12,1),(13,1),(25,1),(29,1),(31,1)}
        21:{2,3,4,6}:{(13,1),(30,1),(31,1),(32,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(182,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(188,1)}
        24:{1,2,4,6,7}:{(16,1),(18,1),(34,1),(37,1),(74,1),(78,1),(121,1)}
        25:{2,3,6,7}:{(16,1),(20,1),(37,1),(155,1)}
        26:{2,3,4,5,7}:{(17,1),(39,1),(40,1),(110,1),(180,1)}
        27:{1,3,4,5,6}:{(17,1),(40,1),(41,1),(45,1),(68,1),(87,1),(183,1),(184,1)}
        28:{2,3,5,6}:{(19,1),(42,1),(43,1),(85,1),(128,1),(131,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(37,1),(42,1),(44,1)}
        30:{1,3,4,6}:{(19,1),(21,1),(43,1),(44,1),(45,1)}
        31:{2,3,4,7}:{(20,1),(21,1),(44,1)}
        32:{2,3,4,5}:{(21,1),(45,1),(113,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(88,1),(95,1),(139,1),(142,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(51,1),(103,1),(139,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(51,1),(52,1),(57,1),(169,1)}
        36:{3,4,6,7}:{(23,1),(52,1),(53,1),(186,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(29,1),(55,1),(142,1)}
        38:{2,3,4,6,7}:{(25,1),(31,1),(52,1),(56,1),(57,1),(65,1)}
        39:{2,3,4,6,7}:{(26,1),(54,1),(58,1),(65,1),(133,1),(167,1)}
        40:{1,3,4,5,7}:{(26,1),(27,1),(58,1),(59,1),(92,1),(172,1),(175,1)}
        41:{2,4,5,6}:{(27,1),(59,1),(60,1),(63,1),(109,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(55,1),(62,1),(103,1)}
        43:{2,4,6}:{(28,1),(30,1),(62,1),(63,1)}
        44:{1,3,4,7}:{(29,1),(30,1),(31,1),(62,1)}
        45:{1,3,4,5}:{(30,1),(32,1),(63,1),(95,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(57,1),(64,1),(65,1),(136,1),(168,1)}
        47:{1,2,4,5,6}:{(41,1),(67,1),(68,1),(71,1),(111,1),(121,1),(182,1),(183,1)}
        48:{1,2,3,5,7}:{(33,1),(42,1),(66,1),(70,1),(110,1),(116,1),(120,1)}
        49:{1,2,4,6}:{(33,1),(43,1),(69,1),(70,1),(71,1),(111,1)}
        50:{3,4,5,6,7}:{(72,1),(76,1),(178,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(79,1),(158,1)}
        52:{2,4,6,7}:{(35,1),(36,1),(74,1),(75,1),(181,1)}
        53:{3,4,5,7}:{(36,1),(75,1),(76,1)}
        54:{2,3,5,6,7}:{(39,1),(72,1),(77,1),(80,1)}
        55:{2,3,6,7}:{(37,1),(42,1),(78,1),(131,1)}
        56:{1,3,4,6,7}:{(37,1),(38,1),(44,1),(74,1),(78,1),(79,1),(87,1),(123,1)}
        57:{2,3,5,7}:{(38,1),(75,1),(79,1),(80,1)}
        58:{1,3,4,6,7}:{(39,1),(40,1),(77,1),(81,1),(87,1),(117,1),(156,1),(161,1)}
        59:{2,4,5,7}:{(40,1),(41,1),(81,1),(82,1)}
        60:{2,3,5,6}:{(41,1),(68,1),(82,1),(83,1),(85,1),(131,1)}
        61:{2,3,4,6}:{(43,1),(69,1),(84,1),(85,1),(131,1)}
        62:{2,4,7}:{(42,1),(43,1),(44,1)}
        63:{2,4,5}:{(43,1),(45,1),(85,1)}
        64:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(79,1),(86,1),(87,1),(120,1),(157,1),(162,1)}
        65:{2,3,4,6}:{(46,1),(80,1),(87,1),(155,1),(181,1)}
        66:{1,2,3,6,7}:{(48,1),(55,1),(90,1),(133,1),(142,1)}
        67:{1,2,4,5,7}:{(47,1),(59,1),(91,1),(92,1),(134,1),(170,1),(172,1)}
        68:{1,3,5,6}:{(47,1),(60,1),(88,1),(92,1),(93,1),(95,1),(142,1)}
        69:{1,3,4,6}:{(49,1),(61,1),(89,1),(94,1),(95,1),(142,1)}
        70:{1,2,4,7}:{(48,1),(49,1),(62,1),(94,1),(134,1)}
        71:{1,2,4,5}:{(49,1),(63,1),(95,1),(135,1)}
        72:{2,4,5,6,7}:{(50,1),(54,1),(97,1),(100,1),(167,1)}
        73:{2,3,5,6,7}:{(51,1),(55,1),(98,1),(103,1),(144,1),(148,1)}
        74:{1,4,6,7}:{(51,1),(52,1),(98,1),(99,1),(173,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(57,1),(99,1),(100,1)}
        76:{3,4,5,6}:{(53,1),(100,1),(186,1)}
        77:{1,3,5,6,7}:{(54,1),(58,1),(97,1),(101,1),(104,1),(143,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(62,1),(103,1),(109,1)}
        79:{1,3,5,7}:{(56,1),(57,1),(99,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,6}:{(57,1),(65,1),(100,1),(104,1)}
        81:{2,4,6,7}:{(58,1),(59,1),(101,1),(105,1),(109,1)}
        82:{2,3,5,7}:{(59,1),(60,1),(92,1),(105,1),(106,1)}
        83:{2,3,4,6}:{(60,1),(93,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(94,1),(108,1)}
        85:{2,3,5}:{(61,1),(63,1),(95,1)}
        86:{2,4,5,7}:{(62,1),(63,1),(64,1),(103,1),(108,1),(109,1)}
        87:{1,3,4,6}:{(64,1),(65,1),(104,1),(109,1),(142,1),(173,1),(176,1)}
        88:{2,3,5,6}:{(68,1),(110,1),(111,1),(113,1),(155,1),(182,1)}
        89:{2,3,4,6}:{(69,1),(111,1),(112,1),(113,1),(155,1)}
        90:{1,2,4,6,7}:{(66,1),(70,1),(78,1),(115,1),(116,1),(121,1),(153,1)}
        91:{1,2,4,6,7}:{(67,1),(81,1),(114,1),(117,1),(121,1),(153,1),(156,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(82,1),(110,1),(117,1),(118,1)}
        93:{1,3,4,6}:{(68,1),(83,1),(111,1),(118,1),(119,1)}
        94:{1,3,4,7}:{(69,1),(70,1),(84,1),(112,1),(120,1)}
        95:{1,3,5}:{(69,1),(71,1),(85,1),(113,1)}
        96:{1,2,4,5,7}:{(70,1),(71,1),(86,1),(116,1),(120,1),(121,1),(154,1),(157,1)}
        97:{1,4,5,6,7}:{(72,1),(77,1),(122,1),(125,1),(156,1)}
        98:{2,4,6,7}:{(73,1),(74,1),(123,1),(124,1),(165,1)}
        99:{1,4,5,7}:{(74,1),(75,1),(79,1),(124,1),(125,1)}
       100:{2,4,5,6}:{(75,1),(76,1),(80,1),(125,1),(181,1)}
       101:{2,5,6,7}:{(77,1),(81,1),(128,1)}
       102:{2,3,4,6,7}:{(78,1),(84,1),(115,1),(123,1),(127,1),(131,1),(165,1)}
       103:{2,5,7}:{(78,1),(79,1),(128,1)}
       104:{1,3,5,6}:{(79,1),(80,1),(87,1),(125,1),(128,1),(163,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(117,1),(131,1)}
       106:{2,3,4,7}:{(82,1),(83,1),(118,1)}
       107:{2,3,4,5}:{(83,1),(85,1),(119,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(86,1),(120,1),(131,1)}
       109:{2,4,6}:{(86,1),(87,1),(128,1),(131,1)}
       110:{2,3,5,7}:{(88,1),(92,1),(133,1),(134,1),(170,1)}
       111:{2,4,6}:{(88,1),(93,1),(134,1),(135,1)}
       112:{2,3,4,7}:{(89,1),(94,1),(134,1),(136,1)}
       113:{2,3,5}:{(89,1),(95,1),(135,1)}
       114:{1,2,5,6,7}:{(91,1),(101,1),(137,1),(139,1),(170,1)}
       115:{1,3,4,6,7}:{(90,1),(94,1),(102,1),(132,1),(138,1),(142,1),(173,1)}
       116:{1,2,5,7}:{(90,1),(103,1),(138,1),(139,1),(170,1)}
       117:{1,3,6,7}:{(91,1),(92,1),(105,1),(133,1),(142,1)}
       118:{1,3,4,7}:{(92,1),(93,1),(106,1),(134,1)}
       119:{1,3,4,5}:{(93,1),(95,1),(107,1),(135,1)}
       120:{1,3,5,7}:{(94,1),(95,1),(96,1),(108,1),(136,1),(142,1)}
       121:{1,2,4,6}:{(96,1),(109,1),(139,1),(142,1),(171,1),(173,1)}
       122:{2,4,5,6,7}:{(97,1),(101,1),(143,1),(145,1),(146,1)}
       123:{3,4,6,7}:{(98,1),(144,1),(176,1)}
       124:{2,4,5,7}:{(98,1),(99,1),(103,1),(144,1),(145,1)}
       125:{1,4,5,6}:{(99,1),(100,1),(104,1),(145,1),(173,1)}
       126:{2,3,5,6,7}:{(101,1),(105,1),(137,1),(143,1),(146,1),(148,1),(149,1)}
       127:{2,3,5,7}:{(102,1),(103,1),(138,1),(144,1),(147,1),(148,1)}
       128:{2,5,6}:{(103,1),(104,1),(109,1)}
       129:{2,3,4,6,7}:{(105,1),(106,1),(140,1),(146,1),(149,1),(150,1)}
       130:{2,3,4,5,7}:{(106,1),(107,1),(108,1),(141,1),(147,1),(149,1),(150,1)}
       131:{2,3,6}:{(108,1),(109,1),(142,1)}
       132:{2,3,4,6,7}:{(112,1),(115,1),(152,1),(153,1),(155,1),(178,1),(181,1)}
       133:{2,3,6,7}:{(110,1),(117,1),(153,1),(155,1)}
       134:{2,4,7}:{(110,1),(111,1),(118,1)}
       135:{2,4,5}:{(111,1),(113,1),(119,1)}
       136:{2,3,5,7}:{(112,1),(113,1),(120,1),(154,1),(155,1)}
       137:{1,3,5,6,7}:{(114,1),(117,1),(126,1),(151,1),(156,1),(158,1),(159,1)}
       138:{1,3,5,7}:{(115,1),(116,1),(127,1),(152,1),(157,1),(158,1)}
       139:{1,2,5,6}:{(116,1),(121,1),(128,1),(158,1),(182,1)}
       140:{1,3,4,6,7}:{(117,1),(118,1),(129,1),(153,1),(156,1),(159,1),(160,1),(178,1)}
       141:{1,3,4,5,7}:{(118,1),(119,1),(120,1),(130,1),(154,1),(157,1),(159,1),(160,1),(179,1)}
       142:{1,3,6}:{(120,1),(121,1),(131,1),(155,1)}
       143:{3,5,6,7}:{(122,1),(161,1),(163,1)}
       144:{3,5,7}:{(123,1),(124,1),(163,1)}
       145:{2,4,5,6}:{(124,1),(125,1),(128,1),(163,1),(165,1)}
       146:{2,4,6,7}:{(126,1),(156,1),(161,1),(164,1),(165,1)}
       147:{2,4,5,7}:{(127,1),(157,1),(162,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(163,1),(165,1)}
       149:{2,3,5,7}:{(129,1),(159,1),(164,1),(166,1)}
       150:{2,3,4,6}:{(130,1),(131,1),(160,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(133,1),(137,1),(167,1),(169,1),(170,1),(185,1)}
       152:{2,3,5,7}:{(132,1),(138,1),(168,1),(169,1),(170,1),(185,1)}
       153:{2,4,6,7}:{(133,1),(134,1),(140,1),(170,1),(171,1)}
       154:{2,4,5,7}:{(134,1),(135,1),(136,1),(141,1),(170,1),(171,1)}
       155:{2,3,6}:{(136,1),(142,1),(171,1)}
       156:{1,4,6,7}:{(137,1),(146,1),(167,1),(172,1),(173,1)}
       157:{1,4,5,7}:{(138,1),(147,1),(168,1),(173,1)}
       158:{1,3,5,6}:{(138,1),(139,1),(142,1),(148,1),(169,1),(173,1)}
       159:{1,3,5,7}:{(140,1),(149,1),(170,1),(172,1),(174,1),(185,1)}
       160:{1,3,4,6}:{(141,1),(142,1),(150,1),(171,1),(173,1),(174,1),(186,1)}
       161:{3,4,6,7}:{(143,1),(146,1),(175,1),(176,1)}
       162:{3,4,5,7}:{(144,1),(147,1),(176,1)}
       163:{3,5,6}:{(144,1),(145,1),(176,1)}
       164:{2,4,5,7}:{(146,1),(149,1),(172,1),(175,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(173,1),(176,1)}
       166:{2,3,5,6}:{(149,1),(150,1),(174,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(180,1),(181,1)}
       168:{2,4,5,7}:{(152,1),(157,1),(179,1),(181,1)}
       169:{2,3,5,6}:{(152,1),(155,1),(158,1),(181,1),(182,1),(188,1)}
       170:{2,5,7}:{(153,1),(159,1),(182,1)}
       171:{2,4,6}:{(154,1),(155,1),(160,1),(182,1)}
       172:{1,4,5,7}:{(156,1),(159,1),(164,1),(180,1),(183,1)}
       173:{1,4,6}:{(157,1),(158,1),(165,1),(181,1)}
       174:{1,3,5,6}:{(159,1),(160,1),(166,1),(182,1),(183,1),(188,1)}
       175:{3,4,5,7}:{(161,1),(164,1),(184,1)}
       176:{3,4,6}:{(162,1),(163,1),(165,1)}
       177:{2,4,5,6}:{(164,1),(165,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(186,1)}
       179:{3,4,5,7}:{(168,1),(185,1),(186,1)}
       180:{2,4,5,7}:{(167,1),(170,1),(172,1),(185,1),(187,1)}
       181:{2,4,6}:{(168,1),(169,1),(173,1),(186,1)}
       182:{2,5,6}:{(170,1),(171,1),(174,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(177,1),(187,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(180,1),(188,1)}
       186:{3,4,6}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,6}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2688 :   0:{3,4,5,6,7}:{(1,1),(81,1),(163,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(61,1),(175,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(35,1),(103,1),(114,1),(155,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(169,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(44,1),(183,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(51,1),(82,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(46,1),(83,1),(132,1),(168,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(57,1),(61,1),(155,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(178,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(31,1),(187,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(16,1),(32,1),(36,1),(62,1)}
        11:{2,4,5,6}:{(6,1),(16,1),(17,1),(149,1),(177,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(40,1),(44,1),(168,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(184,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(188,1)}
        15:{1,2,4,5,6}:{(11,1),(23,1),(24,1),(52,1),(83,1),(88,1),(122,1),(134,1)}
        16:{2,4,5,7}:{(10,1),(11,1),(18,1),(25,1)}
        17:{2,3,5,6}:{(11,1),(24,1),(25,1),(26,1),(129,1),(166,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(16,1),(28,1),(177,1)}
        19:{1,2,5,6,7}:{(13,1),(27,1),(30,1),(99,1),(141,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(28,1),(30,1),(31,1),(59,1),(172,1)}
        21:{3,4,6,7}:{(14,1),(31,1),(32,1),(186,1)}
        22:{2,3,4,5,6}:{(33,1),(34,1),(39,1),(74,1),(104,1),(187,1)}
        23:{1,2,4,5,7}:{(15,1),(16,1),(27,1),(36,1),(62,1),(71,1),(99,1)}
        24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(37,1),(110,1),(153,1)}
        25:{2,3,5,7}:{(16,1),(17,1),(28,1),(36,1),(38,1)}
        26:{2,3,4,6}:{(17,1),(37,1),(38,1),(39,1)}
        27:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(40,1),(44,1),(77,1),(134,1)}
        28:{2,3,6,7}:{(18,1),(25,1),(40,1),(166,1)}
        29:{3,4,5,6,7}:{(42,1),(46,1),(179,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(44,1),(78,1),(160,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(182,1)}
        32:{3,4,5,7}:{(21,1),(45,1),(46,1)}
        33:{2,3,4,5,7}:{(22,1),(48,1),(49,1),(126,1),(181,1)}
        34:{1,3,4,5,6}:{(22,1),(49,1),(50,1),(54,1),(85,1),(95,1),(163,1),(183,1)}
        35:{2,3,5,6}:{(24,1),(51,1),(52,1),(93,1),(122,1),(137,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(40,1),(51,1),(53,1)}
        37:{1,3,4,6}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{2,3,4,7}:{(25,1),(26,1),(53,1)}
        39:{2,3,4,5}:{(26,1),(54,1),(129,1)}
        40:{1,3,6,7}:{(27,1),(28,1),(36,1),(57,1),(153,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(38,1),(58,1),(59,1),(74,1)}
        42:{2,4,5,6,7}:{(29,1),(56,1),(60,1),(63,1),(170,1)}
        43:{2,3,5,6,7}:{(30,1),(57,1),(61,1),(99,1),(102,1),(144,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(61,1),(62,1),(174,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(59,1),(62,1),(63,1)}
        46:{3,4,5,6}:{(32,1),(63,1),(186,1)}
        47:{1,2,3,5,6}:{(35,1),(65,1),(66,1),(104,1),(110,1),(141,1),(153,1)}
        48:{2,3,4,6,7}:{(33,1),(56,1),(67,1),(74,1),(147,1),(170,1)}
        49:{1,3,4,5,7}:{(33,1),(34,1),(67,1),(68,1),(107,1),(145,1),(173,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1),(72,1),(116,1)}
        51:{2,3,5,7}:{(35,1),(36,1),(57,1),(71,1),(99,1)}
        52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1)}
        53:{1,3,4,7}:{(36,1),(37,1),(38,1),(71,1)}
        54:{1,3,4,5}:{(37,1),(39,1),(72,1),(110,1)}
        55:{2,3,4,5,7}:{(38,1),(39,1),(59,1),(73,1),(74,1),(150,1),(171,1)}
        56:{2,3,5,6,7}:{(42,1),(48,1),(76,1),(79,1)}
        57:{2,3,6,7}:{(40,1),(51,1),(77,1),(137,1)}
        58:{1,3,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(77,1),(78,1),(81,1),(95,1)}
        59:{2,3,5,7}:{(41,1),(45,1),(78,1),(79,1)}
        60:{1,4,5,6,7}:{(42,1),(76,1),(80,1),(83,1),(158,1)}
        61:{2,4,6,7}:{(43,1),(44,1),(81,1),(82,1),(162,1)}
        62:{1,4,5,7}:{(44,1),(45,1),(78,1),(82,1),(83,1)}
        63:{2,4,5,6}:{(45,1),(46,1),(79,1),(83,1),(182,1)}
        64:{1,2,4,5,6}:{(50,1),(84,1),(85,1),(88,1),(127,1),(134,1),(183,1),(184,1)}
        65:{1,2,3,5,7}:{(47,1),(51,1),(75,1),(87,1),(119,1),(126,1),(133,1)}
        66:{1,2,4,6}:{(47,1),(52,1),(86,1),(87,1),(88,1),(127,1)}
        67:{1,3,4,6,7}:{(48,1),(49,1),(76,1),(89,1),(95,1),(123,1),(130,1),(158,1)}
        68:{2,4,5,7}:{(49,1),(50,1),(89,1),(90,1)}
        69:{2,3,5,6}:{(50,1),(85,1),(90,1),(91,1),(93,1),(137,1)}
        70:{2,3,4,6}:{(52,1),(86,1),(92,1),(93,1),(137,1)}
        71:{2,4,7}:{(51,1),(52,1),(53,1)}
        72:{2,4,5}:{(52,1),(54,1),(93,1)}
        73:{1,3,4,5,7}:{(53,1),(54,1),(55,1),(78,1),(94,1),(95,1),(124,1),(133,1),(159,1)}
        74:{2,3,4,6}:{(55,1),(79,1),(95,1),(166,1),(182,1)}
        75:{1,2,3,6,7}:{(57,1),(65,1),(96,1),(147,1),(153,1)}
        76:{1,3,5,6,7}:{(56,1),(60,1),(67,1),(97,1),(100,1),(101,1)}
        77:{2,4,6,7}:{(57,1),(58,1),(71,1),(99,1),(116,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(62,1),(99,1),(100,1),(102,1)}
        79:{2,3,5,6}:{(59,1),(63,1),(74,1),(100,1)}
        80:{2,4,5,6,7}:{(60,1),(97,1),(101,1),(103,1),(142,1)}
        81:{3,4,6,7}:{(61,1),(102,1),(146,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(99,1),(102,1),(103,1)}
        83:{1,4,5,6}:{(62,1),(63,1),(100,1),(103,1),(174,1)}
        84:{1,2,4,5,7}:{(64,1),(68,1),(106,1),(107,1),(148,1),(173,1),(176,1)}
        85:{1,3,5,6}:{(64,1),(69,1),(104,1),(107,1),(108,1),(110,1),(153,1)}
        86:{1,3,4,6}:{(66,1),(70,1),(105,1),(109,1),(110,1),(153,1)}
        87:{1,2,4,7}:{(65,1),(66,1),(71,1),(109,1),(148,1)}
        88:{1,2,4,5}:{(66,1),(72,1),(110,1),(149,1)}
        89:{2,4,6,7}:{(67,1),(68,1),(97,1),(112,1),(116,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(112,1),(113,1)}
        91:{2,3,4,6}:{(69,1),(108,1),(113,1),(114,1)}
        92:{2,3,4,7}:{(70,1),(71,1),(109,1),(115,1)}
        93:{2,3,5}:{(70,1),(72,1),(110,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(99,1),(115,1),(116,1)}
        95:{1,3,4,6}:{(73,1),(74,1),(100,1),(116,1),(146,1),(153,1),(174,1)}
        96:{1,2,4,6,7}:{(75,1),(77,1),(87,1),(118,1),(119,1),(134,1),(164,1)}
        97:{2,5,6,7}:{(76,1),(89,1),(122,1)}
        98:{2,3,4,6,7}:{(77,1),(81,1),(92,1),(118,1),(121,1),(137,1),(162,1)}
        99:{2,5,7}:{(77,1),(78,1),(122,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(83,1),(95,1),(122,1),(125,1)}
       101:{3,5,6,7}:{(80,1),(123,1),(125,1)}
       102:{3,5,7}:{(81,1),(82,1),(125,1)}
       103:{2,4,5,6}:{(82,1),(83,1),(122,1),(125,1),(162,1)}
       104:{2,3,5,6}:{(85,1),(126,1),(127,1),(129,1),(166,1),(184,1)}
       105:{2,3,4,6}:{(86,1),(127,1),(128,1),(129,1),(166,1)}
       106:{1,2,4,6,7}:{(84,1),(89,1),(117,1),(130,1),(134,1),(158,1),(164,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(90,1),(126,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(85,1),(91,1),(127,1),(131,1),(132,1)}
       109:{1,3,4,7}:{(86,1),(87,1),(92,1),(128,1),(133,1)}
       110:{1,3,5}:{(86,1),(88,1),(93,1),(129,1)}
       111:{1,2,4,5,7}:{(87,1),(88,1),(94,1),(119,1),(133,1),(134,1),(159,1),(165,1)}
       112:{2,3,6,7}:{(89,1),(90,1),(130,1),(137,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(131,1)}
       114:{2,3,4,5}:{(91,1),(93,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(94,1),(133,1),(137,1)}
       116:{2,4,6}:{(94,1),(95,1),(122,1),(137,1)}
       117:{1,2,5,6,7}:{(97,1),(106,1),(139,1),(141,1),(176,1)}
       118:{1,3,4,6,7}:{(96,1),(98,1),(109,1),(138,1),(140,1),(153,1),(174,1)}
       119:{1,2,5,7}:{(96,1),(99,1),(140,1),(141,1),(176,1)}
       120:{2,3,5,6,7}:{(97,1),(101,1),(112,1),(139,1),(142,1),(144,1),(154,1)}
       121:{2,3,5,7}:{(98,1),(99,1),(102,1),(140,1),(143,1),(144,1)}
       122:{2,5,6}:{(99,1),(100,1),(116,1)}
       123:{3,4,6,7}:{(101,1),(142,1),(145,1),(146,1)}
       124:{3,4,5,7}:{(102,1),(143,1),(146,1)}
       125:{3,5,6}:{(102,1),(103,1),(146,1)}
       126:{2,3,5,7}:{(104,1),(107,1),(147,1),(148,1),(176,1)}
       127:{2,4,6}:{(104,1),(108,1),(148,1),(149,1)}
       128:{2,3,4,7}:{(105,1),(109,1),(148,1),(150,1)}
       129:{2,3,5}:{(105,1),(110,1),(149,1)}
       130:{1,3,6,7}:{(106,1),(107,1),(112,1),(147,1),(153,1)}
       131:{1,3,4,7}:{(107,1),(108,1),(113,1),(148,1)}
       132:{1,3,4,5}:{(108,1),(110,1),(114,1),(149,1)}
       133:{1,3,5,7}:{(109,1),(110,1),(111,1),(115,1),(150,1),(153,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(141,1),(153,1),(174,1),(177,1)}
       135:{2,3,4,6,7}:{(112,1),(113,1),(142,1),(151,1),(154,1),(155,1)}
       136:{2,3,4,5,7}:{(113,1),(114,1),(115,1),(143,1),(152,1),(154,1),(155,1)}
       137:{2,3,6}:{(115,1),(116,1),(153,1)}
       138:{2,3,4,6,7}:{(118,1),(128,1),(157,1),(164,1),(166,1),(179,1),(182,1)}
       139:{1,3,5,6,7}:{(117,1),(120,1),(130,1),(156,1),(158,1),(160,1),(167,1)}
       140:{1,3,5,7}:{(118,1),(119,1),(121,1),(157,1),(159,1),(160,1)}
       141:{1,2,5,6}:{(119,1),(122,1),(134,1),(160,1),(184,1)}
       142:{2,4,6,7}:{(120,1),(123,1),(158,1),(161,1),(162,1)}
       143:{2,4,5,7}:{(121,1),(124,1),(159,1),(162,1)}
       144:{2,3,5,6}:{(121,1),(122,1),(125,1),(137,1),(160,1),(162,1)}
       145:{3,4,5,7}:{(123,1),(161,1),(163,1)}
       146:{3,4,6}:{(124,1),(125,1),(162,1)}
       147:{2,3,6,7}:{(126,1),(130,1),(164,1),(166,1)}
       148:{2,4,7}:{(126,1),(127,1),(131,1)}
       149:{2,4,5}:{(127,1),(129,1),(132,1)}
       150:{2,3,5,7}:{(128,1),(129,1),(133,1),(165,1),(166,1)}
       151:{1,3,4,6,7}:{(130,1),(131,1),(135,1),(158,1),(164,1),(167,1),(168,1),(179,1)}
       152:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(159,1),(165,1),(167,1),(168,1),(180,1)}
       153:{1,3,6}:{(133,1),(134,1),(137,1),(166,1)}
       154:{2,3,5,7}:{(135,1),(161,1),(167,1),(169,1)}
       155:{2,3,4,6}:{(136,1),(137,1),(162,1),(168,1),(169,1)}
       156:{2,3,5,6,7}:{(139,1),(147,1),(170,1),(172,1),(176,1),(185,1)}
       157:{2,3,5,7}:{(138,1),(140,1),(171,1),(172,1),(176,1),(185,1)}
       158:{1,4,6,7}:{(139,1),(142,1),(170,1),(173,1),(174,1)}
       159:{1,4,5,7}:{(140,1),(143,1),(171,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(144,1),(153,1),(172,1),(174,1)}
       161:{2,4,5,7}:{(142,1),(145,1),(154,1),(173,1),(175,1)}
       162:{2,4,6}:{(143,1),(144,1),(146,1),(174,1)}
       163:{3,4,5,6}:{(145,1),(146,1),(175,1)}
       164:{2,4,6,7}:{(147,1),(148,1),(151,1),(176,1),(177,1)}
       165:{2,4,5,7}:{(148,1),(149,1),(150,1),(152,1),(176,1),(177,1)}
       166:{2,3,6}:{(150,1),(153,1),(177,1)}
       167:{1,3,5,7}:{(151,1),(154,1),(173,1),(176,1),(178,1),(185,1)}
       168:{1,3,4,6}:{(152,1),(153,1),(155,1),(174,1),(177,1),(178,1),(186,1)}
       169:{2,3,5,6}:{(154,1),(155,1),(175,1),(178,1)}
       170:{2,4,6,7}:{(156,1),(158,1),(179,1),(181,1),(182,1)}
       171:{2,4,5,7}:{(157,1),(159,1),(180,1),(182,1)}
       172:{2,3,5,6}:{(157,1),(160,1),(166,1),(182,1),(184,1),(188,1)}
       173:{1,4,5,7}:{(158,1),(161,1),(167,1),(181,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(162,1),(182,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(163,1),(169,1),(183,1)}
       176:{2,5,7}:{(164,1),(167,1),(184,1)}
       177:{2,4,6}:{(165,1),(166,1),(168,1),(184,1)}
       178:{1,3,5,6}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       179:{3,4,6,7}:{(170,1),(185,1),(186,1)}
       180:{3,4,5,7}:{(171,1),(185,1),(186,1)}
       181:{2,4,5,7}:{(170,1),(173,1),(176,1),(185,1),(187,1)}
       182:{2,4,6}:{(171,1),(172,1),(174,1),(186,1)}
       183:{1,4,5,6}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{2,5,6}:{(176,1),(177,1),(178,1)}
       185:{3,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,4,6}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,6}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2689 :   0:{2,3,4,5}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(41,1),(82,1)}
         2:{1,3,4,5}:{(0,1),(8,1),(9,1),(11,1),(30,1),(87,1),(109,1),(115,1)}
         3:{1,2,4,5}:{(9,1),(10,1),(11,1),(13,1),(48,1),(87,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(13,1),(48,1)}
         5:{3,4,5,6}:{(16,1),(17,1),(99,1),(138,1)}
         6:{2,3,5,6}:{(1,1),(17,1),(18,1),(19,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(62,1),(101,1)}
         8:{1,3,4,6}:{(1,1),(2,1),(19,1),(20,1),(21,1),(25,1),(51,1),(66,1),(92,1),(99,1)}
         9:{2,4,5}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,6}:{(3,1),(21,1),(23,1),(24,1),(25,1),(66,1)}
        11:{1,3,5}:{(3,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,4}:{(4,1),(26,1)}
        14:{1,2,4,5}:{(9,1),(29,1),(30,1),(32,1),(75,1),(109,1)}
        15:{1,2,3,5}:{(30,1),(31,1),(32,1),(75,1)}
        16:{3,4,5,7}:{(5,1),(34,1),(35,1),(114,1),(133,1)}
        17:{2,4,5,6}:{(5,1),(6,1),(35,1),(36,1),(82,1),(135,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1)}
        19:{1,3,5,6}:{(6,1),(8,1),(36,1),(38,1),(39,1),(79,1)}
        20:{1,3,4,7}:{(7,1),(8,1),(38,1),(40,1),(45,1),(72,1),(86,1),(108,1),(114,1)}
        21:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(41,1)}
        22:{2,3,5}:{(9,1),(11,1),(30,1),(41,1),(42,1)}
        23:{1,2,5,6}:{(10,1),(39,1),(43,1),(44,1),(48,1),(89,1)}
        24:{1,2,4,7}:{(10,1),(40,1),(43,1),(45,1),(86,1)}
        25:{1,3,6}:{(10,1),(11,1),(41,1),(45,1)}
        26:{1,3,4}:{(11,1),(13,1),(42,1)}
        27:{1,2,3,7}:{(12,1),(45,1),(47,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(46,1),(47,1),(48,1),(89,1)}
        29:{1,2,4,6}:{(14,1),(21,1),(49,1),(50,1),(51,1),(92,1)}
        30:{1,3,5}:{(14,1),(22,1),(51,1),(52,1)}
        31:{1,2,3,6}:{(15,1),(51,1),(53,1),(54,1)}
        32:{1,2,4}:{(15,1),(52,1)}
        33:{4,5,6,7}:{(55,1),(137,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(56,1)}
        35:{2,4,5,7}:{(16,1),(17,1),(18,1),(56,1),(57,1),(101,1),(127,1)}
        36:{1,4,5,6}:{(17,1),(19,1),(57,1),(58,1),(66,1),(92,1),(129,1),(136,1)}
        37:{2,3,6,7}:{(18,1),(56,1),(59,1)}
        38:{1,3,5,7}:{(18,1),(19,1),(20,1),(57,1),(59,1),(60,1),(98,1)}
        39:{2,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,4,7}:{(20,1),(21,1),(60,1),(62,1)}
        41:{2,3,6}:{(21,1),(22,1),(25,1),(51,1),(62,1)}
        42:{2,3,4}:{(22,1),(26,1),(52,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(60,1),(64,1),(65,1)}
        44:{1,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(68,1),(106,1),(129,1)}
        45:{1,3,7}:{(24,1),(25,1),(62,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(28,1),(63,1),(66,1),(67,1),(68,1),(106,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(67,1),(69,1)}
        48:{1,2,5}:{(28,1),(68,1)}
        49:{1,2,5,6}:{(29,1),(39,1),(70,1),(71,1),(75,1),(111,1)}
        50:{1,2,4,7}:{(29,1),(40,1),(70,1),(72,1),(108,1)}
        51:{1,3,6}:{(29,1),(30,1),(41,1),(72,1)}
        52:{1,3,4}:{(30,1),(32,1),(42,1)}
        53:{1,2,3,7}:{(31,1),(72,1),(74,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(73,1),(74,1),(75,1),(111,1)}
        55:{3,5,6,7}:{(33,1),(34,1),(76,1),(133,1)}
        56:{2,4,6,7}:{(34,1),(35,1),(37,1),(76,1),(77,1)}
        57:{1,4,5,7}:{(35,1),(36,1),(38,1),(77,1),(78,1),(86,1),(108,1),(119,1),(130,1)}
        58:{2,4,5,6}:{(36,1),(39,1),(78,1),(79,1),(82,1),(135,1),(139,1)}
        59:{1,3,6,7}:{(37,1),(38,1),(77,1),(80,1),(113,1)}
        60:{2,5,7}:{(38,1),(39,1),(40,1),(80,1)}
        61:{2,3,5,6}:{(39,1),(41,1),(44,1),(71,1),(79,1),(81,1),(82,1),(84,1),(118,1),(135,1)}
        62:{2,3,7}:{(40,1),(41,1),(45,1),(72,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(73,1),(82,1),(83,1),(84,1),(118,1)}
        64:{1,2,6,7}:{(43,1),(80,1),(85,1),(89,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(45,1),(81,1),(85,1),(86,1),(119,1)}
        66:{1,4,6}:{(44,1),(82,1),(86,1),(87,1)}
        67:{1,3,4,7}:{(45,1),(46,1),(47,1),(83,1),(86,1),(88,1)}
        68:{1,3,5}:{(46,1),(48,1),(84,1),(87,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(88,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(60,1),(90,1),(91,1)}
        71:{1,3,5,6}:{(49,1),(51,1),(61,1),(91,1),(92,1),(94,1),(123,1),(136,1)}
        72:{1,3,7}:{(50,1),(51,1),(62,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(54,1),(63,1),(92,1),(93,1),(94,1),(123,1)}
        74:{1,2,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{1,2,5}:{(54,1),(94,1)}
        76:{2,5,6,7}:{(55,1),(56,1),(96,1),(127,1)}
        77:{1,4,6,7}:{(56,1),(57,1),(59,1),(96,1),(97,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(60,1),(97,1),(98,1),(101,1),(127,1),(137,1)}
        79:{3,5,6}:{(58,1),(98,1),(99,1)}
        80:{2,6,7}:{(59,1),(60,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(65,1),(91,1),(98,1),(100,1),(101,1),(127,1)}
        82:{2,4,6}:{(61,1),(66,1),(92,1),(99,1),(101,1),(102,1)}
        83:{2,3,4,7}:{(62,1),(63,1),(67,1),(93,1),(101,1),(103,1)}
        84:{2,3,5}:{(63,1),(68,1),(94,1),(102,1)}
        85:{1,3,6,7}:{(64,1),(65,1),(100,1),(104,1),(106,1)}
        86:{1,4,7}:{(65,1),(66,1),(101,1)}
        87:{1,4,5}:{(66,1),(68,1),(102,1)}
        88:{1,3,5,7}:{(67,1),(68,1),(69,1),(103,1),(105,1),(106,1)}
        89:{1,2,6}:{(69,1),(106,1)}
        90:{1,2,6,7}:{(70,1),(80,1),(107,1),(111,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(72,1),(81,1),(107,1),(108,1),(130,1)}
        92:{1,4,6}:{(71,1),(82,1),(108,1),(109,1)}
        93:{1,3,4,7}:{(72,1),(73,1),(74,1),(83,1),(108,1),(110,1)}
        94:{1,3,5}:{(73,1),(75,1),(84,1),(109,1)}
        95:{1,2,5,7}:{(74,1),(75,1),(110,1),(111,1)}
        96:{1,5,6,7}:{(76,1),(77,1),(112,1),(119,1),(130,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(112,1),(113,1),(132,1)}
        98:{3,5,7}:{(78,1),(79,1),(113,1),(114,1)}
        99:{3,4,6}:{(79,1),(82,1),(114,1),(115,1)}
       100:{2,3,6,7}:{(80,1),(81,1),(85,1),(107,1),(113,1),(116,1),(118,1)}
       101:{2,4,7}:{(81,1),(82,1),(86,1),(108,1),(114,1)}
       102:{2,4,5}:{(82,1),(84,1),(87,1),(109,1),(115,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(88,1),(110,1),(117,1),(118,1)}
       104:{1,4,6,7}:{(85,1),(86,1),(116,1),(119,1),(120,1)}
       105:{1,4,5,7}:{(86,1),(87,1),(88,1),(117,1),(119,1),(120,1)}
       106:{1,3,6}:{(88,1),(89,1),(118,1),(120,1)}
       107:{1,3,6,7}:{(90,1),(91,1),(100,1),(121,1),(123,1)}
       108:{1,4,7}:{(91,1),(92,1),(101,1)}
       109:{1,4,5}:{(92,1),(94,1),(102,1)}
       110:{1,3,5,7}:{(93,1),(94,1),(95,1),(103,1),(122,1),(123,1)}
       111:{1,2,6}:{(95,1),(123,1)}
       112:{2,5,6,7}:{(96,1),(97,1),(124,1),(127,1)}
       113:{3,6,7}:{(97,1),(98,1)}
       114:{3,4,7}:{(98,1),(99,1),(101,1)}
       115:{3,4,5}:{(99,1),(102,1)}
       116:{2,4,6,7}:{(100,1),(101,1),(104,1),(121,1),(125,1),(127,1),(128,1)}
       117:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(122,1),(126,1),(127,1),(128,1)}
       118:{2,3,6}:{(103,1),(106,1),(123,1),(128,1)}
       119:{1,5,7}:{(104,1),(127,1),(129,1)}
       120:{1,4,6}:{(105,1),(106,1),(128,1),(129,1)}
       121:{1,4,6,7}:{(107,1),(108,1),(116,1),(130,1),(131,1)}
       122:{1,4,5,7}:{(108,1),(109,1),(110,1),(117,1),(130,1),(131,1)}
       123:{1,3,6}:{(110,1),(111,1),(118,1),(131,1)}
       124:{3,5,6,7}:{(112,1),(113,1),(132,1),(133,1)}
       125:{3,4,6,7}:{(113,1),(114,1),(116,1),(132,1),(133,1),(134,1)}
       126:{3,4,5,7}:{(114,1),(115,1),(117,1),(133,1),(134,1)}
       127:{2,5,7}:{(116,1),(119,1),(130,1),(133,1),(135,1)}
       128:{2,4,6}:{(117,1),(118,1),(120,1),(131,1),(134,1),(135,1)}
       129:{1,5,6}:{(119,1),(120,1),(135,1)}
       130:{1,5,7}:{(121,1),(127,1),(136,1)}
       131:{1,4,6}:{(122,1),(123,1),(128,1),(136,1)}
       132:{4,6,7}:{(124,1),(137,1)}
       133:{3,5,7}:{(125,1),(127,1),(137,1),(138,1)}
       134:{3,4,6}:{(126,1),(128,1),(138,1)}
       135:{2,5,6}:{(127,1),(128,1),(129,1),(136,1),(138,1)}
       136:{1,5,6}:{(130,1),(131,1),(135,1)}
       137:{4,5,7}:{(132,1),(133,1),(139,1)}
       138:{3,5,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{4,5,6}:{(137,1),(138,1)}

2690 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2691 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(19,1),(59,1),(62,1),(81,1),(84,1),(86,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(28,1),(49,1),(75,1),(94,1),(98,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(36,1),(59,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(20,1),(36,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(90,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(11,1),(47,1),(74,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(28,1),(46,1),(69,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(11,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(28,1),(49,1),(76,1),(80,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(19,1),(35,1),(59,1),(62,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(86,1)}
        12:{1,3,4,5,7}:{(7,1),(18,1),(20,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(40,1),(64,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(24,1),(47,1),(73,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(28,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(29,1),(47,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(69,1),(76,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(28,1),(31,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(49,1),(52,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(18,1),(34,1),(57,1),(83,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(34,1),(35,1),(36,1),(59,1),(85,1)}
        25:{2,3,4,6,7}:{(16,1),(35,1),(37,1),(39,1),(62,1),(85,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(36,1),(40,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(41,1),(59,1)}
        28:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(41,1),(64,1)}
        30:{2,3,4,5,7}:{(20,1),(35,1),(39,1),(42,1),(67,1),(85,1),(100,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(41,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(64,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(28,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(45,1),(47,1)}
        36:{1,4,5,7}:{(24,1),(26,1),(46,1),(47,1),(94,1)}
        37:{1,3,4,6,7}:{(25,1),(26,1),(47,1),(49,1),(50,1),(51,1),(73,1),(74,1),(94,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(48,1),(49,1),(50,1),(52,1)}
        39:{2,3,4,6}:{(28,1),(30,1),(45,1),(51,1),(76,1),(92,1)}
        40:{1,4,6}:{(28,1),(29,1),(31,1)}
        41:{1,2,5,6}:{(29,1),(32,1),(52,1),(69,1)}
        42:{1,3,4,5,7}:{(30,1),(31,1),(47,1),(51,1),(54,1),(55,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(52,1),(54,1),(55,1),(56,1),(78,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(53,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(39,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(40,1),(57,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(36,1),(37,1),(57,1),(59,1)}
        48:{1,2,4,5,7}:{(36,1),(38,1),(58,1),(59,1),(60,1),(85,1)}
        49:{2,4,6,7}:{(37,1),(59,1),(62,1),(63,1),(85,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(64,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(42,1),(57,1),(63,1),(64,1),(86,1),(99,1)}
        52:{1,2,4,6}:{(40,1),(41,1),(43,1),(63,1),(64,1)}
        53:{1,2,3,5,6}:{(41,1),(44,1),(64,1),(65,1),(82,1),(88,1)}
        54:{2,4,5,7}:{(42,1),(59,1),(63,1),(67,1),(85,1),(100,1)}
        55:{1,3,5,7}:{(43,1),(64,1),(67,1),(68,1),(88,1)}
        56:{1,2,4,7}:{(44,1),(65,1),(68,1),(85,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(52,1),(69,1),(70,1),(78,1),(92,1)}
        59:{2,5,7}:{(47,1),(49,1),(69,1)}
        60:{1,3,5,7}:{(48,1),(50,1),(70,1),(72,1),(73,1)}
        61:{1,2,4,6,7}:{(49,1),(71,1),(74,1),(75,1),(94,1)}
        62:{2,3,6,7}:{(49,1),(50,1),(72,1),(74,1),(76,1)}
        63:{2,4,6}:{(51,1),(54,1),(69,1),(76,1)}
        64:{1,3,6}:{(52,1),(55,1),(76,1)}
        65:{1,2,4,6}:{(53,1),(56,1),(77,1),(78,1),(92,1)}
        66:{1,2,4,5,7}:{(54,1),(71,1),(75,1),(79,1),(94,1),(98,1),(103,1),(104,1)}
        67:{2,3,5,7}:{(54,1),(55,1),(76,1),(79,1),(80,1),(97,1)}
        68:{1,3,4,7}:{(55,1),(56,1),(77,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(63,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(64,1),(82,1),(83,1),(88,1)}
        71:{1,2,5,7}:{(59,1),(61,1),(81,1),(84,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(84,1),(85,1)}
        73:{1,3,4,7}:{(60,1),(83,1),(85,1)}
        74:{1,3,6,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{1,2,4,6}:{(63,1),(66,1),(81,1),(86,1),(99,1)}
        76:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        77:{1,3,4,6}:{(64,1),(65,1),(68,1),(87,1),(88,1)}
        78:{1,2,4,5}:{(65,1),(88,1),(100,1)}
        79:{1,3,5,7}:{(66,1),(67,1),(86,1),(90,1),(102,1)}
        80:{2,3,4,7}:{(67,1),(68,1),(85,1),(87,1),(90,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(76,1),(91,1),(92,1),(97,1)}
        83:{1,3,4,6}:{(70,1),(73,1),(92,1),(93,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(91,1),(94,1)}
        85:{2,4,7}:{(72,1),(73,1),(92,1),(94,1)}
        86:{1,3,6}:{(75,1),(76,1),(79,1)}
        87:{2,3,4,6}:{(76,1),(77,1),(80,1),(92,1),(96,1),(97,1)}
        88:{1,3,5}:{(77,1),(78,1),(97,1)}
        89:{1,2,3,5,7}:{(79,1),(95,1),(98,1),(104,1)}
        90:{1,3,4,7}:{(79,1),(80,1),(94,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(86,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(88,1),(100,1)}
        94:{1,4,7}:{(84,1),(85,1),(99,1)}
        95:{1,2,3,6}:{(86,1),(89,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(90,1),(99,1),(101,1),(102,1)}
        97:{2,3,5}:{(87,1),(88,1),(100,1),(102,1)}
        98:{1,2,4,7}:{(89,1),(90,1),(101,1)}
        99:{1,4,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(97,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2692 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(76,1),(134,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(93,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(110,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(94,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(35,1),(115,1),(122,1),(127,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(45,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(38,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(122,1),(128,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(45,1),(70,1),(100,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(45,1),(106,1),(114,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(33,1),(35,1),(122,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(37,1),(38,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(33,1),(38,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(37,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(38,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(58,1),(90,1),(99,1)}
        33:{1,3,4,6,7}:{(24,1),(26,1),(45,1)}
        34:{1,2,3,4,6,7}:{(27,1),(46,1),(55,1),(74,1),(83,1),(108,1)}
        35:{2,3,5,6,7}:{(24,1),(29,1),(45,1),(47,1),(100,1),(106,1)}
        36:{2,3,4,5,6}:{(25,1),(48,1),(49,1),(79,1),(130,1)}
        37:{1,4,5,6}:{(25,1),(28,1),(51,1)}
        38:{2,4,5,7}:{(25,1),(26,1),(29,1),(45,1),(51,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(51,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(33,1),(56,1),(84,1),(118,1)}
        45:{2,4,6,7}:{(33,1),(35,1),(38,1),(58,1)}
        46:{1,2,3,5,7}:{(34,1),(39,1),(59,1),(60,1),(125,1)}
        47:{1,3,5,6,7}:{(35,1),(41,1),(58,1),(61,1),(90,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(62,1),(63,1),(65,1),(95,1),(139,1)}
        49:{2,3,4,5,7}:{(36,1),(38,1),(57,1),(63,1),(98,1),(141,1)}
        50:{1,2,4,5,6}:{(37,1),(40,1),(62,1),(65,1),(66,1),(67,1)}
        51:{1,4,5,7}:{(37,1),(38,1),(41,1),(58,1)}
        52:{1,2,4,5}:{(39,1),(64,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(90,1)}
        56:{2,4,5,6,7}:{(44,1),(45,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(45,1),(49,1),(69,1),(71,1),(106,1),(131,1)}
        58:{1,4,6,7}:{(45,1),(47,1),(51,1)}
        59:{1,2,4,5,7}:{(46,1),(52,1),(72,1),(74,1),(83,1)}
        60:{1,2,3,5,6}:{(46,1),(74,1),(107,1)}
        61:{1,2,5,6,7}:{(47,1),(54,1),(73,1),(100,1)}
        62:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        63:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(71,1),(80,1),(82,1),(113,1),(145,1)}
        64:{1,3,4,5}:{(52,1),(78,1),(81,1)}
        65:{1,3,5,6}:{(50,1),(79,1),(81,1),(82,1)}
        66:{1,2,4,5,7}:{(50,1),(51,1),(54,1),(73,1),(80,1),(82,1),(83,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(81,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(58,1),(84,1),(140,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(63,1),(84,1),(88,1),(90,1),(122,1),(140,1)}
        72:{1,3,4,5,7}:{(59,1),(64,1),(87,1),(89,1),(99,1),(125,1)}
        73:{1,2,4,6,7}:{(58,1),(61,1),(66,1),(88,1),(90,1)}
        74:{1,2,4,6}:{(59,1),(60,1),(89,1)}
        75:{1,2,3,5,6,7}:{(60,1),(61,1),(68,1),(90,1),(92,1),(116,1),(125,1)}
        76:{1,2,3,4,6}:{(86,1),(93,1),(120,1),(126,1)}
        77:{1,2,4,5,6}:{(62,1),(95,1),(96,1),(126,1),(139,1),(142,1)}
        78:{2,3,4,5}:{(64,1),(94,1),(97,1)}
        79:{2,3,5,6}:{(62,1),(65,1),(95,1),(97,1),(98,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(88,1),(98,1)}
        81:{1,3,4,6}:{(64,1),(65,1),(67,1),(97,1),(99,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(90,1),(98,1),(99,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(99,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(71,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(73,1),(100,1),(101,1),(109,1),(131,1)}
        86:{1,2,3,4,7}:{(76,1),(102,1),(138,1)}
        87:{2,3,4,5,7}:{(72,1),(78,1),(103,1),(105,1),(114,1),(137,1)}
        88:{2,4,6,7}:{(71,1),(80,1),(100,1),(106,1)}
        89:{1,3,4,6}:{(72,1),(74,1),(105,1),(107,1)}
        90:{1,3,6,7}:{(73,1),(82,1),(106,1)}
        91:{1,2,4,5,6}:{(74,1),(107,1),(109,1),(130,1)}
        92:{1,2,4,6,7}:{(74,1),(75,1),(83,1),(108,1),(109,1),(131,1)}
        93:{1,2,3,5}:{(76,1),(110,1)}
        94:{1,3,4,5}:{(78,1),(110,1),(112,1)}
        95:{1,3,5,6}:{(77,1),(79,1),(112,1),(113,1)}
        96:{1,2,4,5,7}:{(77,1),(80,1),(104,1),(113,1),(138,1),(145,1),(146,1)}
        97:{2,3,4,6}:{(78,1),(79,1),(81,1),(112,1),(114,1)}
        98:{2,3,5,7}:{(79,1),(80,1),(82,1),(106,1),(113,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(83,1),(114,1)}
       100:{2,5,6,7}:{(84,1),(88,1)}
       101:{1,3,5,6,7}:{(85,1),(90,1),(116,1),(118,1),(125,1)}
       102:{1,2,3,5,7}:{(86,1),(93,1),(119,1),(120,1)}
       103:{1,3,4,5,7}:{(87,1),(94,1),(119,1),(121,1),(128,1),(144,1)}
       104:{1,2,4,6,7}:{(88,1),(96,1),(115,1),(122,1),(140,1)}
       105:{2,3,4,6}:{(87,1),(89,1),(121,1),(123,1)}
       106:{2,3,6,7}:{(88,1),(90,1),(98,1),(122,1)}
       107:{1,3,5,6}:{(89,1),(91,1),(123,1),(125,1)}
       108:{1,3,4,6,7}:{(89,1),(90,1),(92,1),(99,1),(124,1),(125,1)}
       109:{1,2,4,5,7}:{(91,1),(92,1),(125,1),(141,1)}
       110:{1,2,4,5}:{(93,1),(94,1),(126,1)}
       111:{1,2,3,5,6}:{(93,1),(95,1),(120,1),(126,1),(127,1),(142,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(97,1),(126,1),(128,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(122,1),(128,1)}
       114:{2,3,4,7}:{(97,1),(98,1),(99,1),(128,1)}
       115:{1,2,5,6,7}:{(100,1),(104,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(129,1),(131,1),(137,1)}
       117:{1,3,4,5,6}:{(107,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(110,1),(133,1),(138,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,3,4,6}:{(103,1),(105,1),(133,1),(135,1)}
       122:{1,3,6,7}:{(104,1),(106,1),(113,1)}
       123:{2,3,5,6}:{(105,1),(107,1),(130,1),(135,1),(137,1)}
       124:{2,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(131,1),(136,1),(137,1)}
       125:{1,3,5,7}:{(107,1),(108,1),(109,1),(137,1)}
       126:{1,2,4,6}:{(110,1),(111,1),(112,1),(138,1)}
       127:{1,2,3,5,7}:{(111,1),(113,1),(134,1),(138,1),(146,1)}
       128:{1,3,4,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(122,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(123,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(125,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(121,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(127,1),(143,1)}
       135:{1,3,5,6}:{(121,1),(123,1),(139,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(128,1),(140,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(123,1),(124,1),(125,1),(141,1),(144,1)}
       138:{1,2,4,7}:{(126,1),(127,1),(128,1)}
       139:{1,4,5,6}:{(130,1),(135,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(137,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2693 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(93,1),(122,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(110,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(124,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(104,1),(107,1),(111,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(123,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(98,1),(99,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(111,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(85,1),(86,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(65,1),(90,1),(94,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(97,1),(98,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(111,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(84,1),(85,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(42,1),(43,1),(69,1),(141,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(90,1),(97,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(32,1),(52,1),(77,1),(106,1)}
        42:{2,3,4,5,7}:{(31,1),(33,1),(53,1),(54,1),(82,1),(132,1)}
        43:{1,3,4,5,6}:{(31,1),(34,1),(54,1),(55,1),(58,1),(80,1),(145,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(55,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(84,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(84,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(44,1),(64,1),(65,1),(90,1),(120,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(67,1),(97,1),(120,1)}
        54:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(67,1),(68,1),(71,1),(95,1),(140,1)}
        55:{2,4,5,6}:{(43,1),(68,1),(69,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(68,1),(70,1),(71,1),(74,1)}
        58:{1,3,5,6}:{(46,1),(69,1),(71,1),(72,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(70,1),(90,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(71,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(72,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(100,1),(103,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(56,1),(77,1),(131,1)}
        66:{1,2,4,5,6}:{(55,1),(79,1),(80,1),(108,1),(145,1),(146,1)}
        67:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(81,1),(84,1),(111,1),(131,1)}
        68:{2,4,5,7}:{(54,1),(55,1),(81,1),(82,1)}
        69:{2,3,5,6}:{(55,1),(58,1),(80,1),(82,1),(83,1)}
        70:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(81,1),(84,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(82,1),(84,1),(85,1)}
        72:{1,3,4,6}:{(58,1),(61,1),(83,1),(85,1),(86,1)}
        73:{1,2,3,5,6,7}:{(59,1),(60,1),(84,1),(87,1),(89,1),(105,1),(116,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(85,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(86,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(116,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(67,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(70,1),(90,1),(91,1),(102,1),(120,1)}
        79:{1,2,4,5,7}:{(66,1),(68,1),(94,1),(95,1),(123,1),(140,1),(142,1)}
        80:{1,3,5,6}:{(66,1),(69,1),(95,1),(96,1)}
        81:{2,4,6,7}:{(67,1),(68,1),(90,1),(97,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(95,1),(97,1),(98,1)}
        83:{2,3,4,6}:{(69,1),(72,1),(96,1),(98,1),(99,1)}
        84:{1,3,6,7}:{(70,1),(71,1),(97,1)}
        85:{1,3,4,7}:{(71,1),(72,1),(74,1),(98,1)}
        86:{1,3,4,5}:{(72,1),(75,1),(99,1)}
        87:{1,2,4,6,7}:{(73,1),(74,1),(100,1),(102,1),(103,1),(120,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(103,1)}
        89:{1,2,3,5,6}:{(76,1),(103,1),(130,1)}
        90:{2,5,6,7}:{(77,1),(81,1)}
        91:{1,3,5,6,7}:{(78,1),(84,1),(105,1),(106,1),(116,1)}
        92:{1,2,3,5,6}:{(80,1),(107,1),(108,1),(110,1),(136,1),(146,1)}
        93:{1,2,3,4,6}:{(108,1),(109,1),(110,1),(136,1)}
        94:{1,2,4,6,7}:{(79,1),(81,1),(104,1),(111,1),(131,1)}
        95:{1,3,5,7}:{(79,1),(80,1),(82,1),(111,1),(112,1)}
        96:{1,3,4,6}:{(80,1),(83,1),(108,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(81,1),(82,1),(84,1),(111,1)}
        98:{2,3,4,7}:{(82,1),(83,1),(85,1),(112,1)}
        99:{2,3,4,5}:{(83,1),(86,1),(113,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(87,1),(114,1),(116,1),(117,1)}
       101:{1,3,4,5,7}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1)}
       102:{1,2,4,5,7}:{(87,1),(116,1),(118,1),(132,1)}
       103:{1,2,4,6}:{(88,1),(89,1),(117,1)}
       104:{1,2,5,6,7}:{(90,1),(94,1),(119,1),(142,1)}
       105:{2,3,5,6,7}:{(90,1),(91,1),(97,1),(119,1),(120,1),(128,1)}
       106:{1,3,4,6,7}:{(91,1),(120,1),(121,1)}
       107:{1,2,3,5,7}:{(92,1),(95,1),(122,1),(123,1),(142,1)}
       108:{1,2,4,6}:{(92,1),(96,1),(123,1),(124,1)}
       109:{1,2,3,4,7}:{(93,1),(123,1),(125,1)}
       110:{1,2,3,5}:{(93,1),(124,1)}
       111:{1,3,6,7}:{(94,1),(95,1),(97,1)}
       112:{1,3,4,7}:{(95,1),(96,1),(98,1),(123,1)}
       113:{1,3,4,5}:{(96,1),(99,1),(124,1)}
       114:{2,3,4,6,7}:{(97,1),(98,1),(100,1),(120,1),(126,1),(128,1),(129,1)}
       115:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(127,1),(128,1),(129,1)}
       116:{1,3,5,7}:{(100,1),(102,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(101,1),(103,1),(129,1),(130,1)}
       118:{1,2,4,5,6}:{(102,1),(103,1),(130,1),(141,1)}
       119:{1,3,5,6,7}:{(104,1),(105,1),(111,1),(131,1),(137,1)}
       120:{2,4,6,7}:{(105,1),(106,1),(131,1),(132,1)}
       121:{1,3,4,5,7}:{(106,1),(116,1),(132,1),(133,1)}
       122:{1,2,3,6,7}:{(107,1),(111,1),(134,1),(136,1)}
       123:{1,2,4,7}:{(107,1),(108,1),(112,1)}
       124:{1,2,4,5}:{(108,1),(110,1),(113,1)}
       125:{1,2,3,5,7}:{(109,1),(110,1),(135,1),(136,1)}
       126:{1,3,4,6,7}:{(111,1),(112,1),(114,1),(131,1),(134,1),(137,1),(138,1)}
       127:{1,3,4,5,7}:{(112,1),(113,1),(115,1),(135,1),(137,1),(138,1)}
       128:{2,3,5,7}:{(114,1),(116,1),(132,1),(137,1),(139,1)}
       129:{2,3,4,6}:{(115,1),(117,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(117,1),(118,1),(139,1)}
       131:{1,4,6,7}:{(119,1),(120,1),(140,1)}
       132:{2,4,5,7}:{(120,1),(121,1),(128,1),(140,1),(141,1)}
       133:{1,3,4,5,6}:{(121,1),(130,1),(141,1)}
       134:{1,2,4,6,7}:{(122,1),(123,1),(126,1),(142,1),(143,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(127,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(125,1),(143,1)}
       137:{1,3,5,7}:{(126,1),(128,1),(140,1),(142,1),(144,1)}
       138:{1,3,4,6}:{(127,1),(129,1),(143,1),(144,1)}
       139:{2,3,5,6}:{(128,1),(129,1),(130,1),(141,1),(144,1)}
       140:{1,4,5,7}:{(131,1),(132,1),(137,1),(145,1)}
       141:{2,4,5,6}:{(132,1),(133,1),(139,1),(145,1)}
       142:{1,2,5,7}:{(134,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(145,1),(146,1)}
       145:{1,4,5,6}:{(140,1),(141,1),(144,1)}
       146:{1,2,5,6}:{(142,1),(143,1),(144,1)}

2694 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(18,1),(98,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(8,1),(112,1),(137,1)}
         4:{1,2,4,5}:{(2,1),(6,1),(9,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(25,1),(27,1)}
         6:{1,3,4,5}:{(4,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(18,1),(43,1),(125,1),(146,1)}
         8:{1,2,3,6}:{(3,1),(15,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(18,1),(42,1),(43,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(24,1),(26,1),(59,1),(113,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(24,1),(27,1)}
        16:{1,2,3,6,7}:{(8,1),(10,1),(28,1),(60,1),(137,1)}
        17:{1,2,4,5,6}:{(9,1),(25,1),(27,1),(29,1),(45,1),(58,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(26,1)}
        19:{1,2,3,4,7}:{(11,1),(31,1),(32,1),(102,1)}
        20:{1,2,3,5}:{(11,1),(33,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(33,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(39,1),(75,1),(99,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(38,1),(39,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,5,6}:{(14,1),(17,1),(38,1),(42,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(39,1),(42,1)}
        27:{1,2,5,6}:{(15,1),(40,1),(43,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(43,1),(146,1),(153,1)}
        29:{1,2,4,5,7}:{(17,1),(18,1),(42,1),(43,1),(44,1),(63,1),(77,1)}
        30:{1,3,4,5,6}:{(25,1),(45,1),(46,1),(58,1),(91,1)}
        31:{1,2,3,4,6}:{(19,1),(47,1),(49,1),(83,1)}
        32:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(48,1),(49,1),(51,1)}
        33:{1,2,4,5}:{(20,1),(21,1),(50,1)}
        34:{1,2,3,6}:{(20,1),(50,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(48,1),(52,1),(54,1),(82,1),(89,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(50,1),(53,1),(54,1)}
        37:{2,3,4,6}:{(22,1),(24,1),(52,1),(55,1)}
        38:{2,3,5,6}:{(23,1),(25,1),(45,1),(53,1),(57,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,6}:{(24,1),(27,1),(55,1),(58,1),(59,1)}
        41:{1,3,4,6,7}:{(24,1),(26,1),(28,1),(56,1),(59,1),(60,1),(94,1),(139,1),(152,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(59,1)}
        44:{1,2,4,6,7}:{(29,1),(60,1),(61,1),(80,1),(94,1)}
        45:{2,4,5,6}:{(30,1),(38,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(42,1),(63,1),(64,1),(77,1),(108,1)}
        47:{1,2,3,5}:{(31,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(65,1),(67,1),(70,1),(102,1),(103,1)}
        49:{1,2,3,6}:{(32,1),(67,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(36,1),(69,1),(70,1)}
        51:{1,2,3,7}:{(34,1),(70,1)}
        52:{1,3,4,6}:{(35,1),(37,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(62,1),(69,1),(73,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(70,1),(73,1)}
        55:{2,3,5,6}:{(37,1),(40,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6,7}:{(37,1),(39,1),(41,1),(72,1),(75,1),(76,1),(109,1),(129,1),(148,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(42,1),(63,1),(73,1),(76,1)}
        58:{1,4,5,6}:{(40,1),(74,1),(77,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(43,1),(75,1),(77,1)}
        60:{1,3,6,7}:{(42,1),(44,1),(76,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(78,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(53,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(57,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(60,1),(80,1),(81,1),(94,1),(122,1)}
        65:{1,2,4,5}:{(47,1),(82,1),(83,1)}
        66:{1,2,3,5,6}:{(47,1),(49,1),(83,1),(84,1),(85,1),(115,1)}
        67:{1,2,4,6}:{(48,1),(49,1),(52,1),(85,1)}
        68:{1,2,3,6,7}:{(49,1),(51,1),(84,1),(86,1),(141,1)}
        69:{1,2,5,6}:{(50,1),(53,1),(87,1)}
        70:{1,2,4,7}:{(50,1),(51,1),(54,1),(87,1)}
        71:{1,3,5,6}:{(52,1),(55,1),(85,1),(88,1),(89,1)}
        72:{1,3,4,6,7}:{(52,1),(54,1),(56,1),(86,1),(89,1),(90,1),(116,1),(121,1),(141,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(57,1),(79,1),(87,1),(90,1)}
        74:{2,4,5,6}:{(55,1),(58,1),(88,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(92,1)}
        76:{2,3,6,7}:{(57,1),(60,1),(80,1),(90,1)}
        77:{1,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        78:{1,3,5,6,7}:{(59,1),(60,1),(61,1),(93,1),(94,1),(150,1),(152,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(73,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(76,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(124,1)}
        82:{1,3,4,5}:{(65,1),(99,1),(100,1)}
        83:{1,2,4,6}:{(65,1),(66,1),(100,1),(102,1)}
        84:{1,2,3,5,7}:{(66,1),(68,1),(102,1),(103,1),(130,1)}
        85:{1,2,5,6}:{(67,1),(71,1),(103,1)}
        86:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(72,1),(102,1),(103,1),(104,1)}
        87:{1,2,5,7}:{(69,1),(70,1),(73,1),(104,1)}
        88:{1,4,5,6}:{(71,1),(74,1),(106,1)}
        89:{1,3,5,7}:{(71,1),(72,1),(75,1),(103,1),(106,1)}
        90:{1,3,6,7}:{(73,1),(76,1),(95,1),(104,1)}
        91:{3,4,5,6}:{(74,1),(108,1)}
        92:{2,4,5,7}:{(74,1),(75,1),(77,1),(106,1),(108,1),(109,1)}
        93:{2,3,5,6,7}:{(75,1),(76,1),(78,1),(96,1),(107,1),(109,1),(124,1),(144,1),(148,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(109,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(90,1),(110,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(110,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(111,1),(150,1)}
        98:{1,2,3,4}:{(112,1)}
        99:{2,3,4,5}:{(82,1),(113,1),(114,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(114,1),(115,1),(116,1)}
       101:{1,2,4,5,6}:{(83,1),(85,1),(88,1),(115,1),(117,1),(119,1)}
       102:{1,2,4,7}:{(83,1),(84,1),(116,1)}
       103:{1,2,5,7}:{(85,1),(86,1),(89,1)}
       104:{1,2,6,7}:{(87,1),(90,1)}
       105:{1,3,4,5,6}:{(88,1),(91,1),(115,1),(119,1),(120,1)}
       106:{1,4,5,7}:{(88,1),(89,1),(92,1),(121,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(93,1),(110,1),(118,1),(121,1),(141,1)}
       108:{3,4,5,7}:{(91,1),(92,1),(122,1)}
       109:{2,4,6,7}:{(92,1),(93,1),(94,1),(121,1),(122,1)}
       110:{1,5,6,7}:{(95,1),(96,1)}
       111:{2,4,5,6,7}:{(96,1),(97,1),(109,1),(123,1),(124,1),(144,1)}
       112:{1,2,3,5}:{(98,1),(125,1),(126,1)}
       113:{1,3,4,5}:{(99,1),(125,1),(127,1)}
       114:{2,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       115:{1,3,5,6}:{(100,1),(101,1),(128,1),(130,1)}
       116:{1,3,4,7}:{(100,1),(102,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(106,1),(130,1),(131,1),(133,1)}
       118:{1,2,5,6,7}:{(103,1),(104,1),(107,1),(131,1),(144,1)}
       119:{2,4,5,6}:{(105,1),(128,1),(132,1),(133,1)}
       120:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(130,1),(133,1),(134,1)}
       121:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       122:{3,4,6,7}:{(108,1),(109,1),(124,1)}
       123:{1,4,5,6,7}:{(110,1),(111,1),(121,1),(135,1)}
       124:{3,5,6,7}:{(111,1),(122,1)}
       125:{1,2,4,5}:{(112,1),(113,1),(136,1)}
       126:{1,2,3,6}:{(112,1),(136,1),(137,1)}
       127:{1,3,4,6}:{(113,1),(114,1),(136,1),(138,1),(139,1)}
       128:{2,3,5,6}:{(114,1),(115,1),(119,1),(138,1),(140,1)}
       129:{2,3,4,7}:{(114,1),(116,1),(139,1),(140,1)}
       130:{1,3,5,7}:{(115,1),(116,1),(117,1),(140,1),(141,1)}
       131:{1,2,4,6,7}:{(117,1),(118,1),(121,1),(141,1),(143,1)}
       132:{1,4,5,6}:{(119,1),(138,1),(142,1)}
       133:{2,4,5,7}:{(119,1),(120,1),(140,1),(142,1),(143,1)}
       134:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(135,1),(141,1),(143,1)}
       135:{1,3,5,6,7}:{(123,1),(124,1),(134,1),(144,1)}
       136:{1,2,4,6}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       137:{1,2,3,7}:{(126,1),(146,1)}
       138:{1,3,5,6}:{(127,1),(128,1),(132,1),(145,1),(147,1)}
       139:{1,3,4,7}:{(127,1),(129,1),(146,1),(147,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(147,1),(148,1)}
       141:{1,3,6,7}:{(130,1),(131,1),(148,1)}
       142:{1,4,5,7}:{(132,1),(133,1),(147,1),(149,1)}
       143:{2,4,6,7}:{(133,1),(134,1),(144,1),(148,1),(149,1)}
       144:{2,5,6,7}:{(135,1),(143,1),(150,1)}
       145:{1,2,5,6}:{(136,1),(138,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(139,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{2,3,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,4,6,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,5,6,7}:{(144,1),(149,1)}
       151:{1,2,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,6,7}:{(151,1),(152,1)}

2695 :   0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(57,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(20,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(77,1),(120,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(32,1),(61,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(12,1),(36,1),(37,1),(99,1),(137,1)}
         6:{1,2,3,6}:{(2,1),(12,1)}
         7:{1,2,3,4,6}:{(3,1),(14,1),(16,1),(40,1)}
         8:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(48,1),(91,1)}
         9:{1,3,4,5,7}:{(5,1),(17,1),(18,1),(19,1),(47,1),(52,1),(78,1),(122,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(6,1),(20,1),(21,1),(22,1),(51,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(18,1),(22,1)}
        13:{1,2,3,6,7}:{(6,1),(21,1),(23,1),(95,1),(120,1)}
        14:{1,2,3,5}:{(7,1),(25,1)}
        15:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(27,1),(61,1),(62,1),(68,1),(113,1)}
        16:{1,2,3,6}:{(8,1),(27,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(33,1),(58,1),(64,1),(72,1),(103,1)}
        18:{1,3,4,6}:{(9,1),(12,1),(29,1),(30,1)}
        19:{1,3,4,5}:{(10,1),(33,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(34,1),(36,1)}
        21:{1,2,3,5,7}:{(11,1),(13,1),(36,1),(37,1),(73,1)}
        22:{1,2,5,6}:{(12,1),(30,1),(37,1)}
        23:{1,2,4,6,7}:{(12,1),(13,1),(31,1),(36,1),(37,1),(137,1),(152,1)}
        24:{1,3,4,5,7}:{(15,1),(17,1),(38,1),(39,1),(49,1),(76,1),(81,1),(93,1)}
        25:{1,2,4,5}:{(14,1),(39,1),(40,1)}
        26:{1,2,3,5,6}:{(14,1),(16,1),(40,1),(41,1),(42,1),(80,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(38,1),(42,1)}
        28:{1,2,3,6,7}:{(16,1),(41,1),(43,1),(91,1),(124,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(38,1),(44,1)}
        30:{1,3,5,6}:{(18,1),(22,1),(44,1),(46,1),(47,1)}
        31:{1,3,4,6,7}:{(18,1),(23,1),(45,1),(47,1),(52,1),(89,1),(95,1),(122,1),(148,1)}
        32:{1,2,3,4}:{(48,1)}
        33:{2,3,4,5}:{(19,1),(49,1),(50,1)}
        34:{1,3,4,6}:{(19,1),(20,1),(50,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(51,1),(53,1),(87,1)}
        36:{1,2,4,7}:{(20,1),(21,1),(52,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(47,1)}
        38:{1,3,4,6}:{(24,1),(27,1),(29,1),(55,1)}
        39:{1,3,4,5}:{(25,1),(58,1),(59,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        41:{1,2,3,5,7}:{(26,1),(28,1),(61,1),(62,1),(104,1)}
        42:{1,2,5,6}:{(27,1),(55,1),(62,1)}
        43:{1,2,4,6,7}:{(27,1),(28,1),(56,1),(61,1),(62,1),(113,1),(143,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(55,1),(63,1),(64,1)}
        45:{2,3,4,6,7}:{(29,1),(31,1),(56,1),(64,1),(72,1),(103,1),(107,1),(115,1),(139,1)}
        46:{1,4,5,6}:{(30,1),(63,1),(66,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(37,1),(64,1),(66,1)}
        48:{1,2,3,5}:{(32,1),(68,1),(69,1)}
        49:{1,3,4,5}:{(33,1),(68,1),(70,1)}
        50:{2,3,4,6}:{(33,1),(34,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,6}:{(34,1),(35,1),(71,1),(73,1)}
        52:{1,3,4,7}:{(34,1),(36,1),(72,1),(73,1)}
        53:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(66,1),(73,1),(74,1),(110,1)}
        54:{1,2,5,6,7}:{(37,1),(67,1),(74,1),(141,1),(152,1)}
        55:{1,3,5,6}:{(38,1),(42,1),(44,1),(75,1),(76,1)}
        56:{1,3,4,6,7}:{(38,1),(43,1),(45,1),(76,1),(81,1),(93,1),(118,1),(124,1),(131,1)}
        57:{1,2,3,4}:{(77,1)}
        58:{2,3,4,5}:{(39,1),(78,1),(79,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(80,1),(81,1)}
        60:{1,2,4,5,6}:{(40,1),(42,1),(75,1),(80,1),(82,1),(116,1)}
        61:{1,2,4,7}:{(40,1),(41,1),(81,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(76,1)}
        63:{2,4,5,6}:{(44,1),(46,1),(75,1),(84,1),(85,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(47,1),(76,1),(85,1)}
        65:{1,3,4,5,6}:{(46,1),(51,1),(84,1),(87,1),(88,1)}
        66:{1,4,5,7}:{(46,1),(47,1),(85,1),(89,1)}
        67:{1,3,5,6,7}:{(47,1),(54,1),(86,1),(89,1),(95,1),(148,1),(153,1)}
        68:{1,2,4,5}:{(48,1),(49,1),(90,1)}
        69:{1,2,3,6}:{(48,1),(90,1),(91,1)}
        70:{1,3,4,6}:{(49,1),(50,1),(90,1),(92,1),(93,1)}
        71:{2,3,5,6}:{(50,1),(51,1),(87,1),(92,1),(94,1)}
        72:{2,3,4,7}:{(50,1),(52,1),(93,1),(94,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(53,1),(94,1),(95,1)}
        74:{1,2,4,6,7}:{(53,1),(54,1),(89,1),(95,1),(129,1)}
        75:{1,4,5,6}:{(55,1),(63,1),(97,1)}
        76:{1,3,5,7}:{(55,1),(56,1),(62,1),(64,1),(97,1)}
        77:{1,2,3,5}:{(57,1),(99,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(99,1),(101,1)}
        79:{2,3,4,6}:{(58,1),(59,1),(101,1),(102,1),(103,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(102,1),(104,1)}
        81:{1,3,4,7}:{(59,1),(61,1),(103,1),(104,1)}
        82:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(97,1),(104,1),(105,1),(134,1)}
        83:{1,2,5,6,7}:{(62,1),(98,1),(105,1),(143,1),(150,1)}
        84:{3,4,5,6}:{(63,1),(106,1)}
        85:{2,4,5,7}:{(63,1),(64,1),(66,1),(97,1),(106,1),(107,1)}
        86:{2,3,5,6,7}:{(64,1),(67,1),(98,1),(107,1),(115,1),(139,1),(140,1),(141,1),(150,1)}
        87:{2,4,5,6}:{(65,1),(71,1),(109,1),(110,1)}
        88:{1,3,4,5,7}:{(65,1),(66,1),(73,1),(106,1),(110,1),(111,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(107,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(112,1),(113,1)}
        91:{1,2,3,7}:{(69,1),(113,1)}
        92:{1,3,5,6}:{(70,1),(71,1),(109,1),(112,1),(114,1)}
        93:{1,3,4,7}:{(70,1),(72,1),(113,1),(114,1)}
        94:{2,3,5,7}:{(71,1),(72,1),(73,1),(110,1),(114,1),(115,1)}
        95:{1,3,6,7}:{(73,1),(74,1),(115,1)}
        96:{1,3,4,5,6}:{(75,1),(80,1),(84,1),(116,1),(117,1)}
        97:{1,4,5,7}:{(75,1),(76,1),(85,1),(118,1)}
        98:{1,3,5,6,7}:{(76,1),(83,1),(86,1),(118,1),(124,1),(131,1),(149,1)}
        99:{1,2,4,5}:{(77,1),(78,1),(119,1)}
       100:{1,2,3,6}:{(77,1),(119,1),(120,1)}
       101:{1,3,4,6}:{(78,1),(79,1),(119,1),(121,1),(122,1)}
       102:{2,3,5,6}:{(79,1),(80,1),(116,1),(121,1),(123,1)}
       103:{2,3,4,7}:{(79,1),(81,1),(122,1),(123,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(82,1),(123,1),(124,1)}
       105:{1,2,4,6,7}:{(82,1),(83,1),(118,1),(124,1),(146,1)}
       106:{3,4,5,7}:{(84,1),(85,1),(126,1)}
       107:{2,4,6,7}:{(85,1),(86,1),(89,1),(118,1),(126,1)}
       108:{1,4,5,6,7}:{(89,1),(125,1),(127,1),(153,1)}
       109:{1,4,5,6}:{(87,1),(92,1),(128,1)}
       110:{2,4,5,7}:{(87,1),(88,1),(94,1),(128,1),(129,1)}
       111:{1,3,4,6,7}:{(88,1),(89,1),(95,1),(126,1),(127,1),(129,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(130,1)}
       113:{1,2,4,7}:{(90,1),(91,1),(93,1),(130,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(94,1),(128,1),(130,1),(131,1)}
       115:{2,3,6,7}:{(94,1),(95,1),(129,1),(131,1)}
       116:{2,4,5,6}:{(96,1),(102,1),(133,1),(134,1)}
       117:{1,3,4,5,7}:{(96,1),(97,1),(104,1),(106,1),(134,1),(135,1)}
       118:{1,4,6,7}:{(97,1),(98,1),(107,1)}
       119:{1,2,4,6}:{(99,1),(100,1),(101,1),(136,1),(137,1)}
       120:{1,2,3,7}:{(100,1),(137,1)}
       121:{1,3,5,6}:{(101,1),(102,1),(133,1),(136,1),(138,1)}
       122:{1,3,4,7}:{(101,1),(103,1),(137,1),(138,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(104,1),(134,1),(138,1),(139,1)}
       124:{1,3,6,7}:{(104,1),(105,1),(139,1)}
       125:{2,4,5,6,7}:{(107,1),(108,1),(132,1),(140,1),(141,1),(150,1)}
       126:{3,4,6,7}:{(106,1),(107,1),(140,1)}
       127:{1,3,5,6,7}:{(108,1),(111,1),(140,1),(141,1)}
       128:{1,4,5,7}:{(109,1),(110,1),(114,1),(142,1)}
       129:{2,4,6,7}:{(110,1),(111,1),(115,1),(141,1),(142,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(143,1)}
       131:{1,3,6,7}:{(114,1),(115,1),(142,1),(143,1)}
       132:{1,4,5,6,7}:{(118,1),(125,1),(144,1),(149,1)}
       133:{1,4,5,6}:{(116,1),(121,1),(145,1)}
       134:{2,4,5,7}:{(116,1),(117,1),(123,1),(145,1),(146,1)}
       135:{1,3,4,6,7}:{(117,1),(118,1),(124,1),(126,1),(144,1),(146,1)}
       136:{1,2,5,6}:{(119,1),(121,1),(147,1)}
       137:{1,2,4,7}:{(119,1),(120,1),(122,1),(147,1)}
       138:{1,3,5,7}:{(121,1),(122,1),(123,1),(145,1),(147,1),(148,1)}
       139:{2,3,6,7}:{(123,1),(124,1),(146,1),(148,1)}
       140:{3,5,6,7}:{(125,1),(126,1)}
       141:{2,5,6,7}:{(127,1),(129,1),(149,1)}
       142:{1,4,6,7}:{(128,1),(129,1),(131,1),(149,1)}
       143:{1,2,6,7}:{(130,1),(131,1)}
       144:{1,3,5,6,7}:{(132,1),(135,1),(140,1),(150,1)}
       145:{1,4,5,7}:{(133,1),(134,1),(138,1),(151,1)}
       146:{2,4,6,7}:{(134,1),(135,1),(139,1),(150,1),(151,1)}
       147:{1,2,5,7}:{(136,1),(137,1),(138,1),(152,1)}
       148:{1,3,6,7}:{(138,1),(139,1),(151,1),(152,1)}
       149:{1,5,6,7}:{(141,1),(142,1)}
       150:{2,5,6,7}:{(144,1),(146,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(148,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2696 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(23,1),(114,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,4,5}:{(2,1),(9,1),(11,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(12,1),(129,1),(149,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(33,1),(37,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(16,1),(83,1)}
         8:{1,2,3,5}:{(3,1),(14,1),(17,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(55,1),(115,1),(142,1)}
        11:{1,2,4,6}:{(4,1),(6,1),(20,1),(23,1)}
        12:{1,2,3,6}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(23,1),(24,1),(51,1),(55,1)}
        14:{1,2,4,5}:{(8,1),(25,1),(27,1)}
        15:{1,2,3,4,6}:{(7,1),(28,1),(29,1),(63,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,6}:{(8,1),(27,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(34,1),(35,1),(72,1),(98,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(32,1),(33,1),(35,1)}
        21:{1,2,4,5,6}:{(11,1),(33,1),(36,1),(37,1),(65,1),(71,1)}
        22:{1,2,4,6}:{(10,1),(12,1),(34,1),(37,1)}
        23:{1,2,4,7}:{(11,1),(13,1),(35,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(38,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(39,1),(42,1),(43,1),(44,1),(80,1),(83,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(40,1),(41,1),(43,1)}
        28:{1,2,3,5}:{(15,1),(44,1)}
        29:{1,2,3,6}:{(16,1),(42,1)}
        30:{1,2,3,7}:{(17,1),(43,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(48,1),(49,1),(81,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(47,1),(49,1)}
        33:{1,3,5,6}:{(20,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,6}:{(19,1),(22,1),(48,1),(52,1)}
        35:{1,3,4,7}:{(20,1),(23,1),(49,1),(51,1)}
        36:{1,2,4,5,7}:{(21,1),(23,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(55,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(53,1),(55,1),(142,1),(152,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(31,1),(57,1),(58,1),(62,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(27,1),(32,1),(56,1),(58,1)}
        41:{1,2,5,6}:{(27,1),(56,1),(59,1)}
        42:{1,2,4,6}:{(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,4,7}:{(27,1),(30,1),(58,1),(59,1)}
        44:{1,2,4,5}:{(28,1),(62,1),(63,1)}
        45:{1,2,3,5,6}:{(28,1),(29,1),(60,1),(63,1),(64,1),(96,1)}
        46:{1,2,3,6,7}:{(29,1),(30,1),(61,1),(64,1),(126,1)}
        47:{2,3,5,6}:{(32,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(34,1),(57,1),(67,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(66,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(71,1),(103,1)}
        51:{1,3,5,7}:{(33,1),(35,1),(36,1),(66,1),(70,1)}
        52:{1,3,5,6}:{(34,1),(37,1),(67,1),(71,1),(72,1)}
        53:{1,3,4,6,7}:{(34,1),(35,1),(38,1),(68,1),(70,1),(72,1),(106,1),(131,1),(147,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(72,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,6}:{(39,1),(42,1),(48,1),(76,1)}
        58:{1,3,4,7}:{(40,1),(43,1),(49,1),(75,1)}
        59:{1,2,5,7}:{(41,1),(43,1),(75,1),(78,1)}
        60:{1,2,5,6}:{(42,1),(76,1),(80,1)}
        61:{1,2,4,6,7}:{(42,1),(43,1),(46,1),(77,1),(78,1),(80,1),(83,1)}
        62:{1,3,4,5}:{(44,1),(81,1),(82,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(82,1),(83,1)}
        64:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(83,1),(113,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(49,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,5,6}:{(48,1),(52,1),(76,1),(86,1),(87,1)}
        68:{2,3,4,6,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(87,1),(117,1),(119,1),(138,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(120,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,4,5,6}:{(52,1),(86,1),(90,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(118,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(58,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,5,6}:{(57,1),(60,1),(67,1),(93,1),(94,1)}
        77:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(68,1),(92,1),(94,1),(100,1),(123,1),(126,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,4,5,6}:{(60,1),(63,1),(93,1),(96,1),(97,1),(124,1)}
        80:{1,2,5,7}:{(60,1),(61,1),(94,1)}
        81:{2,3,4,5}:{(62,1),(98,1),(99,1)}
        82:{1,3,4,6}:{(62,1),(63,1),(96,1),(99,1),(100,1)}
        83:{1,2,4,7}:{(63,1),(64,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,4,5,6}:{(67,1),(71,1),(93,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(72,1),(94,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(133,1)}
        89:{1,3,5,6,7}:{(70,1),(72,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(104,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,4,5,6}:{(76,1),(86,1),(110,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(110,1)}
        95:{1,2,5,6,7}:{(78,1),(80,1),(108,1),(111,1),(150,1)}
        96:{1,3,5,6}:{(79,1),(82,1),(112,1),(113,1)}
        97:{1,2,4,5,7}:{(79,1),(80,1),(83,1),(110,1),(111,1),(113,1),(137,1)}
        98:{1,3,4,5}:{(81,1),(115,1),(116,1)}
        99:{2,3,4,6}:{(81,1),(82,1),(112,1),(116,1),(117,1)}
       100:{1,3,4,7}:{(82,1),(83,1),(113,1),(117,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(118,1)}
       102:{2,3,5,6,7}:{(85,1),(87,1),(89,1),(108,1),(118,1),(119,1),(138,1),(143,1),(150,1)}
       103:{3,4,5,6}:{(86,1),(120,1)}
       104:{2,4,5,7}:{(86,1),(87,1),(90,1),(110,1),(119,1),(120,1)}
       105:{1,3,5,6,7}:{(88,1),(118,1),(121,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(119,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(122,1)}
       108:{1,3,5,6,7}:{(92,1),(94,1),(95,1),(102,1),(122,1),(123,1),(126,1)}
       109:{1,3,4,5,6}:{(93,1),(96,1),(103,1),(124,1),(125,1)}
       110:{1,4,5,7}:{(93,1),(94,1),(104,1),(123,1)}
       111:{1,2,4,6,7}:{(95,1),(97,1),(123,1),(126,1),(145,1)}
       112:{2,3,5,6}:{(96,1),(99,1),(124,1),(127,1),(128,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(100,1),(126,1),(128,1)}
       114:{1,2,3,4}:{(129,1)}
       115:{1,2,4,5}:{(98,1),(129,1),(130,1)}
       116:{1,3,4,6}:{(98,1),(99,1),(127,1),(130,1),(131,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(128,1),(131,1)}
       118:{2,5,6,7}:{(101,1),(105,1),(122,1)}
       119:{2,4,6,7}:{(102,1),(104,1),(106,1),(123,1),(133,1)}
       120:{3,4,5,7}:{(103,1),(104,1),(133,1)}
       121:{1,4,5,6,7}:{(105,1),(106,1),(132,1),(153,1)}
       122:{1,5,6,7}:{(107,1),(118,1)}
       123:{1,4,6,7}:{(108,1),(110,1),(119,1)}
       124:{2,4,5,6}:{(109,1),(112,1),(136,1),(137,1)}
       125:{1,3,4,5,7}:{(109,1),(110,1),(113,1),(120,1),(135,1),(137,1)}
       126:{1,3,6,7}:{(111,1),(113,1),(138,1)}
       127:{1,3,5,6}:{(112,1),(116,1),(136,1),(139,1),(140,1)}
       128:{2,3,5,7}:{(112,1),(113,1),(117,1),(137,1),(138,1),(140,1)}
       129:{1,2,3,5}:{(114,1),(115,1),(141,1)}
       130:{1,2,4,6}:{(115,1),(116,1),(139,1),(141,1),(142,1)}
       131:{1,3,4,7}:{(116,1),(117,1),(140,1),(142,1)}
       132:{2,4,5,6,7}:{(118,1),(119,1),(121,1),(134,1),(143,1),(150,1)}
       133:{3,4,6,7}:{(119,1),(120,1),(143,1)}
       134:{1,4,5,6,7}:{(122,1),(123,1),(132,1),(144,1)}
       135:{1,3,4,6,7}:{(123,1),(125,1),(126,1),(133,1),(144,1),(145,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,4,5,7}:{(124,1),(125,1),(128,1),(145,1),(146,1)}
       138:{2,3,6,7}:{(126,1),(128,1),(145,1),(147,1)}
       139:{1,2,5,6}:{(127,1),(130,1),(148,1)}
       140:{1,3,5,7}:{(127,1),(128,1),(131,1),(146,1),(147,1),(148,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,4,7}:{(130,1),(131,1),(148,1),(149,1)}
       143:{3,5,6,7}:{(132,1),(133,1)}
       144:{1,3,5,6,7}:{(134,1),(135,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(135,1),(137,1),(138,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(136,1),(137,1),(140,1),(151,1)}
       147:{1,3,6,7}:{(138,1),(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(139,1),(140,1),(142,1),(152,1)}
       149:{1,2,3,7}:{(141,1),(142,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2697 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2698 :   0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(98,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(22,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(119,1),(148,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(59,1),(68,1)}
         4:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(33,1),(36,1),(99,1),(138,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,6}:{(2,1),(10,1)}
         7:{1,2,3,4,6}:{(3,1),(15,1),(16,1),(41,1)}
         8:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(89,1),(129,1)}
         9:{1,3,4,5,7}:{(4,1),(17,1),(18,1),(21,1),(46,1),(52,1),(77,1),(121,1)}
        10:{1,2,4,6}:{(4,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(6,1),(19,1),(22,1),(23,1),(48,1)}
        13:{1,2,3,6,7}:{(6,1),(20,1),(23,1),(86,1),(148,1)}
        14:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(26,1),(56,1),(59,1),(69,1),(112,1)}
        15:{1,2,3,5}:{(7,1),(26,1)}
        16:{1,2,3,6}:{(8,1),(25,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(34,1),(57,1),(61,1),(71,1),(101,1)}
        18:{1,3,4,6}:{(9,1),(10,1),(29,1),(30,1)}
        19:{1,2,5,6}:{(10,1),(30,1),(33,1)}
        20:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(33,1),(36,1),(138,1),(152,1)}
        21:{1,3,4,5}:{(11,1),(34,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(13,1),(33,1),(36,1),(67,1)}
        24:{1,3,4,5,7}:{(14,1),(17,1),(37,1),(40,1),(50,1),(73,1),(79,1),(91,1)}
        25:{1,2,4,6}:{(14,1),(16,1),(37,1),(38,1)}
        26:{1,2,4,5}:{(15,1),(40,1),(41,1)}
        27:{1,2,3,5,6}:{(15,1),(16,1),(38,1),(41,1),(42,1),(75,1)}
        28:{1,2,3,6,7}:{(16,1),(39,1),(42,1),(116,1),(129,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(37,1),(43,1)}
        30:{1,3,5,6}:{(18,1),(19,1),(43,1),(45,1),(46,1)}
        31:{1,3,4,6,7}:{(18,1),(20,1),(44,1),(46,1),(52,1),(83,1),(86,1),(121,1),(146,1)}
        32:{1,2,4,5,6}:{(19,1),(22,1),(45,1),(48,1),(49,1),(84,1)}
        33:{1,2,5,7}:{(19,1),(20,1),(46,1)}
        34:{2,3,4,5}:{(21,1),(50,1),(51,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(48,1),(51,1),(52,1)}
        36:{1,2,4,7}:{(22,1),(23,1),(52,1)}
        37:{1,3,4,6}:{(24,1),(25,1),(29,1),(53,1)}
        38:{1,2,5,6}:{(25,1),(53,1),(56,1)}
        39:{1,2,4,6,7}:{(25,1),(28,1),(54,1),(56,1),(59,1),(112,1),(142,1)}
        40:{1,3,4,5}:{(26,1),(57,1),(58,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(58,1),(59,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(56,1),(59,1),(97,1)}
        43:{2,3,5,6}:{(29,1),(30,1),(53,1),(60,1),(61,1)}
        44:{2,3,4,6,7}:{(29,1),(31,1),(54,1),(61,1),(71,1),(101,1),(102,1),(108,1),(134,1)}
        45:{1,4,5,6}:{(30,1),(60,1),(64,1)}
        46:{1,3,5,7}:{(30,1),(31,1),(33,1),(61,1),(64,1)}
        47:{1,2,5,6,7}:{(33,1),(62,1),(65,1),(140,1),(152,1)}
        48:{1,3,5,6}:{(32,1),(35,1),(66,1),(67,1)}
        49:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(64,1),(65,1),(67,1),(107,1)}
        50:{1,3,4,5}:{(34,1),(69,1),(70,1)}
        51:{2,3,4,6}:{(34,1),(35,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,7}:{(35,1),(36,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(43,1),(72,1),(73,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(44,1),(73,1),(79,1),(91,1),(113,1),(116,1),(127,1)}
        55:{1,2,4,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1),(114,1)}
        56:{1,2,5,7}:{(38,1),(39,1),(73,1)}
        57:{2,3,4,5}:{(40,1),(77,1),(78,1)}
        58:{1,3,4,6}:{(40,1),(41,1),(75,1),(78,1),(79,1)}
        59:{1,2,4,7}:{(41,1),(42,1),(79,1)}
        60:{2,4,5,6}:{(43,1),(45,1),(72,1),(81,1),(82,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(46,1),(73,1),(82,1)}
        62:{1,3,5,6,7}:{(46,1),(47,1),(80,1),(83,1),(86,1),(146,1),(153,1)}
        63:{1,3,4,5,6}:{(45,1),(48,1),(81,1),(84,1),(85,1)}
        64:{1,4,5,7}:{(45,1),(46,1),(82,1),(83,1)}
        65:{1,2,4,6,7}:{(47,1),(49,1),(83,1),(86,1),(125,1)}
        66:{2,3,5,6}:{(48,1),(51,1),(84,1),(87,1),(88,1)}
        67:{1,3,5,7}:{(48,1),(49,1),(52,1),(86,1),(88,1)}
        68:{1,2,3,4}:{(89,1)}
        69:{1,2,4,5}:{(50,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(50,1),(51,1),(87,1),(90,1),(91,1)}
        71:{2,3,4,7}:{(51,1),(52,1),(88,1),(91,1)}
        72:{1,4,5,6}:{(53,1),(60,1),(94,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(56,1),(61,1),(94,1)}
        74:{1,2,5,6,7}:{(56,1),(92,1),(95,1),(142,1),(150,1)}
        75:{1,3,5,6}:{(55,1),(58,1),(96,1),(97,1)}
        76:{1,2,4,5,7}:{(55,1),(56,1),(59,1),(94,1),(95,1),(97,1),(133,1)}
        77:{1,3,4,5}:{(57,1),(99,1),(100,1)}
        78:{2,3,4,6}:{(57,1),(58,1),(96,1),(100,1),(101,1)}
        79:{1,3,4,7}:{(58,1),(59,1),(97,1),(101,1)}
        80:{2,3,5,6,7}:{(61,1),(62,1),(92,1),(102,1),(108,1),(134,1),(139,1),(140,1),(150,1)}
        81:{3,4,5,6}:{(60,1),(103,1)}
        82:{2,4,5,7}:{(60,1),(61,1),(64,1),(94,1),(102,1),(103,1)}
        83:{1,4,6,7}:{(62,1),(64,1),(102,1)}
        84:{2,4,5,6}:{(63,1),(66,1),(106,1),(107,1)}
        85:{1,3,4,5,7}:{(63,1),(64,1),(67,1),(103,1),(105,1),(107,1)}
        86:{1,3,6,7}:{(65,1),(67,1),(108,1)}
        87:{1,3,5,6}:{(66,1),(70,1),(106,1),(109,1),(110,1)}
        88:{2,3,5,7}:{(66,1),(67,1),(71,1),(107,1),(108,1),(110,1)}
        89:{1,2,3,5}:{(68,1),(69,1),(111,1)}
        90:{1,2,4,6}:{(69,1),(70,1),(109,1),(111,1),(112,1)}
        91:{1,3,4,7}:{(70,1),(71,1),(110,1),(112,1)}
        92:{1,3,5,6,7}:{(73,1),(74,1),(80,1),(113,1),(116,1),(127,1),(149,1)}
        93:{1,3,4,5,6}:{(72,1),(75,1),(81,1),(114,1),(115,1)}
        94:{1,4,5,7}:{(72,1),(73,1),(82,1),(113,1)}
        95:{1,2,4,6,7}:{(74,1),(76,1),(113,1),(116,1),(144,1)}
        96:{2,3,5,6}:{(75,1),(78,1),(114,1),(117,1),(118,1)}
        97:{1,3,5,7}:{(75,1),(76,1),(79,1),(116,1),(118,1)}
        98:{1,2,3,4}:{(119,1)}
        99:{1,2,4,5}:{(77,1),(119,1),(120,1)}
       100:{1,3,4,6}:{(77,1),(78,1),(117,1),(120,1),(121,1)}
       101:{2,3,4,7}:{(78,1),(79,1),(118,1),(121,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(83,1),(113,1),(123,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(123,1)}
       104:{1,4,5,6,7}:{(83,1),(122,1),(124,1),(153,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(86,1),(123,1),(124,1),(125,1)}
       106:{1,4,5,6}:{(84,1),(87,1),(126,1)}
       107:{2,4,5,7}:{(84,1),(85,1),(88,1),(125,1),(126,1)}
       108:{2,3,6,7}:{(86,1),(88,1),(125,1),(127,1)}
       109:{1,2,5,6}:{(87,1),(90,1),(128,1)}
       110:{1,3,5,7}:{(87,1),(88,1),(91,1),(126,1),(127,1),(128,1)}
       111:{1,2,3,6}:{(89,1),(90,1),(129,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(92,1),(94,1),(102,1)}
       114:{2,4,5,6}:{(93,1),(96,1),(132,1),(133,1)}
       115:{1,3,4,5,7}:{(93,1),(94,1),(97,1),(103,1),(131,1),(133,1)}
       116:{1,3,6,7}:{(95,1),(97,1),(134,1)}
       117:{1,3,5,6}:{(96,1),(100,1),(132,1),(135,1),(136,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(101,1),(133,1),(134,1),(136,1)}
       119:{1,2,3,5}:{(98,1),(99,1),(137,1)}
       120:{1,2,4,6}:{(99,1),(100,1),(135,1),(137,1),(138,1)}
       121:{1,3,4,7}:{(100,1),(101,1),(136,1),(138,1)}
       122:{2,4,5,6,7}:{(102,1),(104,1),(130,1),(139,1),(140,1),(150,1)}
       123:{3,4,6,7}:{(102,1),(103,1),(139,1)}
       124:{1,3,5,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       125:{2,4,6,7}:{(105,1),(107,1),(108,1),(140,1),(141,1)}
       126:{1,4,5,7}:{(106,1),(107,1),(110,1),(141,1)}
       127:{1,3,6,7}:{(108,1),(110,1),(141,1),(142,1)}
       128:{1,2,5,7}:{(109,1),(110,1),(112,1),(142,1)}
       129:{1,2,3,7}:{(111,1),(112,1)}
       130:{1,4,5,6,7}:{(113,1),(122,1),(143,1),(149,1)}
       131:{1,3,4,6,7}:{(113,1),(115,1),(116,1),(123,1),(143,1),(144,1)}
       132:{1,4,5,6}:{(114,1),(117,1),(145,1)}
       133:{2,4,5,7}:{(114,1),(115,1),(118,1),(144,1),(145,1)}
       134:{2,3,6,7}:{(116,1),(118,1),(144,1),(146,1)}
       135:{1,2,5,6}:{(117,1),(120,1),(147,1)}
       136:{1,3,5,7}:{(117,1),(118,1),(121,1),(145,1),(146,1),(147,1)}
       137:{1,2,3,6}:{(119,1),(120,1),(148,1)}
       138:{1,2,4,7}:{(120,1),(121,1),(147,1),(148,1)}
       139:{3,5,6,7}:{(122,1),(123,1)}
       140:{2,5,6,7}:{(124,1),(125,1),(149,1)}
       141:{1,4,6,7}:{(125,1),(126,1),(127,1),(149,1)}
       142:{1,2,6,7}:{(127,1),(128,1)}
       143:{1,3,5,6,7}:{(130,1),(131,1),(139,1),(150,1)}
       144:{2,4,6,7}:{(131,1),(133,1),(134,1),(150,1),(151,1)}
       145:{1,4,5,7}:{(132,1),(133,1),(136,1),(151,1)}
       146:{1,3,6,7}:{(134,1),(136,1),(151,1),(152,1)}
       147:{1,2,5,7}:{(135,1),(136,1),(138,1),(152,1)}
       148:{1,2,3,7}:{(137,1),(138,1)}
       149:{1,5,6,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(143,1),(144,1),(153,1)}
       151:{1,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,6,7}:{(146,1),(147,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2699 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2700 :   0:{1,2,3,5}:{(2,1),(3,1),(21,1),(22,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(33,1),(76,1)}
         2:{1,2,3,6}:{(0,1),(7,1),(8,1),(40,1)}
         3:{1,2,4}:{(0,1),(9,1)}
         4:{1,2,3,5}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5}:{(1,1),(16,1),(17,1),(22,1),(45,1),(60,1),(87,1),(93,1)}
         6:{2,3,4,6}:{(1,1),(14,1),(17,1),(18,1),(56,1),(99,1)}
         7:{1,2,3,7}:{(2,1),(19,1),(63,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(59,1)}
         9:{1,3,4}:{(3,1),(15,1),(22,1)}
        10:{1,2,4,5}:{(3,1),(16,1),(21,1),(22,1),(23,1),(60,1)}
        11:{1,2,3,6}:{(4,1),(24,1),(25,1),(68,1)}
        12:{1,2,4}:{(4,1),(26,1)}
        13:{3,4,5,6}:{(28,1),(29,1),(112,1),(132,1)}
        14:{2,3,5,6}:{(6,1),(28,1),(31,1),(32,1)}
        15:{2,3,4}:{(9,1),(26,1),(33,1)}
        16:{2,4,5}:{(5,1),(33,1),(34,1)}
        17:{1,3,4,6}:{(5,1),(6,1),(31,1),(34,1),(35,1),(40,1),(68,1),(83,1),(107,1),(112,1)}
        18:{2,3,4,7}:{(6,1),(32,1),(35,1),(79,1),(116,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(36,1),(37,1)}
        20:{1,3,4,6}:{(8,1),(9,1),(30,1),(36,1),(38,1),(40,1),(81,1),(83,1)}
        21:{1,2,5}:{(8,1),(38,1)}
        22:{1,3,5}:{(9,1),(10,1),(33,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(34,1),(39,1),(40,1),(41,1),(83,1)}
        24:{1,2,3,7}:{(11,1),(42,1),(90,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1),(44,1),(86,1)}
        26:{1,3,4}:{(12,1),(15,1),(45,1)}
        27:{1,2,4,5}:{(12,1),(16,1),(44,1),(45,1),(46,1),(87,1)}
        28:{2,4,5,6}:{(13,1),(14,1),(49,1),(50,1),(99,1),(126,1)}
        29:{3,4,5,7}:{(13,1),(48,1),(50,1),(125,1),(138,1)}
        30:{2,3,4,6}:{(15,1),(20,1),(43,1),(51,1),(53,1),(56,1),(97,1),(99,1)}
        31:{1,3,5,6}:{(14,1),(17,1),(49,1),(54,1),(55,1),(94,1)}
        32:{2,3,5,7}:{(14,1),(18,1),(50,1),(52,1),(55,1)}
        33:{2,3,5}:{(15,1),(16,1),(22,1),(45,1),(56,1)}
        34:{2,4,6}:{(16,1),(17,1),(54,1),(56,1),(57,1)}
        35:{1,3,4,7}:{(17,1),(18,1),(55,1),(57,1),(63,1),(90,1),(103,1),(121,1),(125,1)}
        36:{1,3,4,7}:{(19,1),(20,1),(51,1),(58,1),(63,1),(103,1)}
        37:{1,2,5,7}:{(19,1),(21,1),(58,1),(59,1)}
        38:{1,3,5}:{(20,1),(21,1),(53,1),(60,1)}
        39:{1,2,5,6}:{(21,1),(23,1),(54,1),(59,1),(61,1),(62,1)}
        40:{1,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        41:{1,2,4,7}:{(23,1),(57,1),(62,1),(63,1),(103,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(64,1),(65,1)}
        43:{1,3,4,6}:{(25,1),(26,1),(30,1),(64,1),(66,1),(68,1),(105,1),(107,1)}
        44:{1,2,5}:{(25,1),(66,1)}
        45:{1,3,5}:{(26,1),(27,1),(33,1),(68,1)}
        46:{1,2,4,6}:{(27,1),(34,1),(67,1),(68,1),(69,1),(107,1)}
        47:{4,5,6,7}:{(70,1),(139,1)}
        48:{3,4,6,7}:{(29,1),(70,1),(71,1)}
        49:{1,4,5,6}:{(28,1),(31,1),(72,1),(73,1),(83,1),(107,1),(117,1),(129,1)}
        50:{2,4,5,7}:{(28,1),(29,1),(32,1),(71,1),(73,1),(116,1),(134,1)}
        51:{2,3,4,7}:{(30,1),(36,1),(64,1),(74,1),(79,1),(116,1)}
        52:{2,3,6,7}:{(32,1),(71,1),(75,1)}
        53:{2,3,5}:{(30,1),(38,1),(66,1),(76,1)}
        54:{2,5,6}:{(31,1),(34,1),(78,1)}
        55:{1,3,5,7}:{(31,1),(32,1),(35,1),(73,1),(75,1),(78,1),(113,1)}
        56:{2,3,6}:{(33,1),(34,1),(40,1),(68,1),(79,1)}
        57:{2,4,7}:{(34,1),(35,1),(78,1),(79,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(38,1),(74,1),(80,1),(81,1)}
        59:{1,2,6}:{(37,1),(81,1)}
        60:{1,4,5}:{(38,1),(76,1),(83,1)}
        61:{1,3,5,6}:{(38,1),(39,1),(40,1),(77,1),(81,1),(83,1),(84,1),(117,1)}
        62:{1,2,5,7}:{(39,1),(41,1),(78,1),(82,1),(84,1)}
        63:{1,3,7}:{(40,1),(41,1),(79,1)}
        64:{1,3,4,7}:{(42,1),(43,1),(51,1),(85,1),(90,1),(121,1)}
        65:{1,2,5,7}:{(42,1),(44,1),(85,1),(86,1)}
        66:{1,3,5}:{(43,1),(44,1),(53,1),(87,1)}
        67:{1,2,5,6}:{(44,1),(46,1),(54,1),(86,1),(88,1),(89,1)}
        68:{1,3,6}:{(45,1),(46,1),(56,1),(90,1)}
        69:{1,2,4,7}:{(46,1),(57,1),(89,1),(90,1),(121,1)}
        70:{3,5,6,7}:{(47,1),(48,1),(91,1),(138,1)}
        71:{2,4,6,7}:{(48,1),(50,1),(52,1),(91,1),(92,1)}
        72:{2,4,5,6}:{(49,1),(54,1),(94,1),(95,1),(99,1),(126,1),(136,1)}
        73:{1,4,5,7}:{(49,1),(50,1),(55,1),(92,1),(95,1),(103,1),(121,1),(128,1),(135,1)}
        74:{2,3,5,7}:{(51,1),(53,1),(58,1),(85,1),(96,1),(97,1)}
        75:{1,3,6,7}:{(52,1),(55,1),(92,1),(98,1),(124,1)}
        76:{2,4,5}:{(53,1),(60,1),(87,1),(93,1),(99,1)}
        77:{2,3,5,6}:{(53,1),(54,1),(56,1),(61,1),(88,1),(94,1),(97,1),(99,1),(100,1),(126,1)}
        78:{2,5,7}:{(54,1),(55,1),(57,1),(98,1)}
        79:{2,3,7}:{(56,1),(57,1),(63,1),(90,1)}
        80:{1,4,5,7}:{(58,1),(60,1),(96,1),(101,1),(103,1),(128,1)}
        81:{1,3,6}:{(58,1),(59,1),(97,1),(101,1)}
        82:{1,2,6,7}:{(59,1),(62,1),(98,1),(102,1)}
        83:{1,4,6}:{(60,1),(61,1),(99,1),(103,1)}
        84:{1,3,5,7}:{(61,1),(62,1),(63,1),(100,1),(102,1),(103,1),(128,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(66,1),(74,1),(104,1),(105,1)}
        86:{1,2,6}:{(65,1),(105,1)}
        87:{1,4,5}:{(66,1),(76,1),(107,1)}
        88:{1,3,5,6}:{(66,1),(67,1),(68,1),(77,1),(105,1),(107,1),(108,1),(129,1)}
        89:{1,2,5,7}:{(67,1),(69,1),(78,1),(106,1),(108,1)}
        90:{1,3,7}:{(68,1),(69,1),(79,1)}
        91:{2,5,6,7}:{(70,1),(71,1),(109,1),(134,1)}
        92:{1,4,6,7}:{(71,1),(73,1),(75,1),(109,1),(111,1)}
        93:{3,4,5}:{(76,1),(112,1)}
        94:{3,5,6}:{(72,1),(112,1),(113,1)}
        95:{2,4,5,7}:{(72,1),(73,1),(78,1),(111,1),(113,1),(116,1),(134,1),(139,1)}
        96:{2,4,5,7}:{(74,1),(76,1),(80,1),(104,1),(110,1),(114,1),(116,1),(134,1)}
        97:{2,3,6}:{(74,1),(81,1),(105,1),(114,1)}
        98:{2,6,7}:{(75,1),(78,1)}
        99:{2,4,6}:{(76,1),(77,1),(83,1),(107,1),(112,1),(116,1)}
       100:{2,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(108,1),(113,1),(115,1),(116,1),(134,1)}
       101:{1,4,6}:{(80,1),(81,1),(114,1),(117,1)}
       102:{1,3,6,7}:{(81,1),(82,1),(84,1),(115,1),(118,1)}
       103:{1,4,7}:{(83,1),(84,1),(116,1)}
       104:{1,4,5,7}:{(85,1),(87,1),(96,1),(119,1),(121,1),(135,1)}
       105:{1,3,6}:{(85,1),(86,1),(97,1),(119,1)}
       106:{1,2,6,7}:{(86,1),(89,1),(98,1),(120,1)}
       107:{1,4,6}:{(87,1),(88,1),(99,1),(121,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(90,1),(100,1),(120,1),(121,1),(135,1)}
       109:{1,5,6,7}:{(91,1),(92,1),(122,1),(128,1),(135,1)}
       110:{3,4,5,7}:{(93,1),(96,1),(123,1),(125,1),(138,1)}
       111:{2,4,6,7}:{(92,1),(95,1),(98,1),(122,1),(124,1),(137,1)}
       112:{3,4,6}:{(93,1),(94,1),(99,1),(125,1)}
       113:{3,5,7}:{(94,1),(95,1),(124,1),(125,1)}
       114:{2,4,6}:{(96,1),(97,1),(101,1),(119,1),(123,1),(126,1)}
       115:{2,3,6,7}:{(97,1),(98,1),(100,1),(102,1),(120,1),(124,1),(127,1)}
       116:{2,4,7}:{(99,1),(100,1),(103,1),(121,1),(125,1)}
       117:{1,5,6}:{(101,1),(126,1),(128,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(103,1),(127,1),(128,1)}
       119:{1,4,6}:{(104,1),(105,1),(114,1),(129,1)}
       120:{1,3,6,7}:{(105,1),(106,1),(108,1),(115,1),(130,1)}
       121:{1,4,7}:{(107,1),(108,1),(116,1)}
       122:{2,5,6,7}:{(109,1),(111,1),(131,1),(134,1)}
       123:{3,4,6}:{(110,1),(114,1),(132,1)}
       124:{3,6,7}:{(111,1),(113,1)}
       125:{3,4,7}:{(112,1),(113,1),(116,1)}
       126:{2,5,6}:{(114,1),(117,1),(129,1),(132,1),(134,1)}
       127:{2,4,6,7}:{(114,1),(115,1),(116,1),(118,1),(130,1),(133,1),(134,1)}
       128:{1,5,7}:{(117,1),(118,1),(134,1)}
       129:{1,5,6}:{(119,1),(126,1),(135,1)}
       130:{1,4,6,7}:{(119,1),(120,1),(121,1),(127,1),(135,1)}
       131:{3,5,6,7}:{(122,1),(124,1),(137,1),(138,1)}
       132:{3,5,6}:{(123,1),(126,1),(136,1),(138,1)}
       133:{3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(137,1),(138,1)}
       134:{2,5,7}:{(126,1),(127,1),(128,1),(135,1),(138,1)}
       135:{1,5,7}:{(129,1),(130,1),(134,1)}
       136:{4,5,6}:{(132,1),(139,1)}
       137:{4,6,7}:{(131,1),(139,1)}
       138:{3,5,7}:{(132,1),(133,1),(134,1),(139,1)}
       139:{4,5,7}:{(136,1),(137,1),(138,1)}

2701 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(16,1),(122,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(22,1),(138,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(151,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(30,1),(153,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(22,1),(37,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(163,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(19,1),(22,1),(41,1),(66,1),(70,1)}
         7:{2,3,4,5,7}:{(4,1),(11,1),(12,1),(31,1),(46,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(27,1),(30,1),(149,1)}
         9:{2,5,6,7}:{(5,1),(13,1),(170,1)}
        10:{1,3,5,6,7}:{(6,1),(15,1),(16,1),(27,1),(51,1),(87,1)}
        11:{2,3,4,5,6}:{(7,1),(17,1),(42,1),(57,1),(127,1),(134,1)}
        12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1),(35,1),(41,1)}
        13:{2,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(161,1)}
        14:{1,2,5,6,7}:{(9,1),(19,1),(21,1),(66,1),(100,1)}
        15:{2,3,5,6,7}:{(9,1),(10,1),(20,1),(21,1),(22,1),(37,1),(39,1),(66,1),(102,1)}
        16:{1,3,4,6,7}:{(10,1),(22,1),(23,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(12,1),(24,1),(44,1),(55,1),(142,1),(149,1)}
        18:{2,4,5,7}:{(12,1),(13,1),(24,1),(26,1)}
        19:{1,2,4,6,7}:{(13,1),(14,1),(25,1),(27,1),(30,1),(50,1),(113,1)}
        20:{2,3,6,7}:{(13,1),(26,1),(27,1),(148,1)}
        21:{1,3,5,6,7}:{(14,1),(15,1),(27,1),(30,1),(51,1),(118,1)}
        22:{2,4,6,7}:{(15,1),(16,1),(30,1),(31,1),(120,1)}
        23:{1,3,4,5,7}:{(16,1),(31,1),(32,1),(51,1)}
        24:{2,4,5,6}:{(17,1),(18,1),(34,1),(156,1),(161,1)}
        25:{1,2,4,5,7}:{(18,1),(19,1),(33,1),(35,1),(41,1),(61,1),(66,1)}
        26:{2,3,5,7}:{(18,1),(20,1),(34,1),(35,1),(36,1)}
        27:{1,3,6,7}:{(19,1),(20,1),(35,1),(37,1),(132,1)}
        28:{2,3,4,6,7}:{(20,1),(22,1),(36,1),(38,1),(39,1),(63,1)}
        29:{1,2,3,5,6,7}:{(21,1),(37,1),(40,1),(60,1),(66,1),(69,1),(100,1),(102,1),(132,1),(137,1),(162,1),(174,1)}
        30:{1,4,6,7}:{(21,1),(22,1),(41,1),(136,1)}
        31:{2,4,5,7}:{(22,1),(23,1),(39,1),(41,1),(42,1),(66,1)}
        32:{1,3,4,5,6}:{(23,1),(42,1),(67,1),(104,1)}
        33:{1,2,4,5,6}:{(24,1),(25,1),(44,1),(55,1),(73,1),(84,1),(107,1),(113,1)}
        34:{2,3,5,6}:{(24,1),(26,1),(44,1),(45,1),(141,1),(148,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(27,1),(44,1),(46,1),(47,1)}
        36:{2,3,4,7}:{(26,1),(45,1),(47,1)}
        37:{2,3,6,7}:{(27,1),(46,1),(50,1),(115,1)}
        38:{1,3,4,6,7}:{(27,1),(28,1),(30,1),(47,1),(50,1),(51,1),(79,1)}
        39:{2,3,5,7}:{(28,1),(31,1),(51,1),(52,1)}
        40:{1,2,4,6,7}:{(29,1),(30,1),(50,1),(53,1),(54,1),(76,1),(113,1),(120,1),(154,1),(171,1)}
        41:{1,4,5,7}:{(30,1),(31,1),(51,1),(55,1)}
        42:{2,4,5,6}:{(31,1),(32,1),(52,1),(55,1),(84,1),(120,1)}
        43:{1,3,4,5,6,7}:{(32,1),(56,1),(85,1),(123,1)}
        44:{1,3,5,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(125,1),(132,1)}
        45:{2,3,4,6}:{(34,1),(36,1),(58,1),(59,1)}
        46:{2,3,5,7}:{(35,1),(37,1),(57,1),(61,1),(66,1)}
        47:{1,3,4,7}:{(35,1),(36,1),(58,1),(61,1)}
        48:{2,3,4,5,7}:{(36,1),(39,1),(59,1),(62,1),(63,1),(101,1),(130,1)}
        49:{1,2,3,6,7}:{(37,1),(60,1),(64,1),(132,1),(162,1)}
        50:{2,4,6,7}:{(37,1),(38,1),(61,1),(66,1),(97,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(41,1),(66,1),(67,1)}
        52:{2,3,5,6}:{(39,1),(42,1),(63,1),(67,1)}
        53:{1,3,4,6,7}:{(40,1),(65,1),(69,1),(94,1),(104,1),(132,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(66,1),(69,1),(70,1),(101,1),(166,1),(174,1)}
        55:{1,4,5,6}:{(41,1),(42,1),(67,1),(136,1)}
        56:{2,4,5,6,7}:{(42,1),(43,1),(68,1),(71,1),(103,1),(139,1)}
        57:{2,3,5,6}:{(44,1),(46,1),(73,1),(84,1),(108,1),(115,1)}
        58:{1,3,4,6}:{(44,1),(45,1),(47,1),(73,1),(74,1)}
        59:{2,3,4,5}:{(45,1),(74,1),(141,1)}
        60:{1,2,3,5,7}:{(46,1),(49,1),(72,1),(76,1),(82,1),(112,1),(168,1)}
        61:{2,4,7}:{(46,1),(47,1),(73,1)}
        62:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(74,1),(78,1),(79,1),(112,1),(117,1)}
        63:{2,3,4,6}:{(48,1),(52,1),(79,1),(120,1),(148,1)}
        64:{1,2,4,6,7}:{(49,1),(50,1),(76,1),(81,1),(82,1),(113,1),(171,1)}
        65:{2,3,4,6,7}:{(50,1),(53,1),(77,1),(81,1),(83,1),(111,1),(115,1),(120,1),(148,1),(171,1)}
        66:{2,5,7}:{(50,1),(51,1),(84,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(55,1),(79,1),(84,1)}
        68:{2,3,5,6,7}:{(52,1),(56,1),(80,1),(85,1)}
        69:{1,3,5,7}:{(53,1),(54,1),(83,1),(87,1)}
        70:{1,2,4,5,6}:{(54,1),(55,1),(84,1),(87,1),(113,1),(120,1),(153,1),(170,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(154,1)}
        72:{1,2,3,5,6}:{(57,1),(60,1),(89,1),(100,1),(125,1),(132,1),(157,1)}
        73:{2,4,6}:{(57,1),(58,1),(61,1),(91,1)}
        74:{1,3,4,5}:{(58,1),(59,1),(91,1),(125,1)}
        75:{2,3,4,5,6}:{(59,1),(63,1),(92,1),(93,1),(138,1),(157,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(89,1),(94,1),(173,1)}
        77:{2,3,4,7}:{(61,1),(90,1),(94,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(66,1),(91,1),(96,1),(97,1)}
        79:{1,3,4,6}:{(62,1),(63,1),(67,1),(97,1),(132,1),(136,1)}
        80:{2,3,4,6,7}:{(63,1),(68,1),(93,1),(98,1),(139,1),(162,1)}
        81:{1,3,4,6,7}:{(64,1),(65,1),(94,1),(99,1),(132,1),(136,1)}
        82:{1,2,5,7}:{(64,1),(66,1),(99,1),(100,1),(174,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(69,1),(99,1),(101,1),(102,1),(174,1)}
        84:{2,5,6}:{(66,1),(67,1),(97,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(98,1),(103,1)}
        86:{1,3,4,5,7}:{(69,1),(101,1),(104,1)}
        87:{1,3,5,6}:{(69,1),(70,1),(102,1),(104,1),(132,1)}
        88:{1,2,4,5,6,7}:{(70,1),(71,1),(103,1),(105,1),(133,1),(139,1),(166,1),(174,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(76,1),(106,1),(107,1),(167,1)}
        90:{2,3,4,6}:{(73,1),(77,1),(106,1),(108,1),(115,1)}
        91:{2,4,5}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,5,6}:{(74,1),(75,1),(79,1),(109,1),(110,1),(143,1),(153,1)}
        93:{2,3,4,5,7}:{(75,1),(80,1),(110,1),(155,1),(168,1)}
        94:{1,3,4,7}:{(76,1),(77,1),(106,1),(111,1),(112,1)}
        95:{1,2,4,5,7}:{(76,1),(78,1),(82,1),(107,1),(112,1),(113,1),(117,1),(147,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(108,1),(112,1),(115,1)}
        97:{2,4,6}:{(78,1),(79,1),(84,1),(115,1)}
        98:{1,3,4,6,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(150,1),(154,1)}
        99:{1,3,5,7}:{(81,1),(82,1),(83,1),(117,1),(118,1)}
       100:{1,2,5,6}:{(82,1),(84,1),(113,1),(118,1),(170,1)}
       101:{2,4,5,7}:{(83,1),(86,1),(117,1),(120,1)}
       102:{2,3,5,6}:{(83,1),(84,1),(87,1),(115,1),(118,1),(120,1),(148,1),(170,1)}
       103:{2,5,6,7}:{(84,1),(85,1),(116,1)}
       104:{1,3,4,6}:{(86,1),(87,1),(120,1)}
       105:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(123,1),(150,1),(172,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(94,1),(124,1),(125,1),(132,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(125,1),(156,1)}
       108:{2,3,5}:{(90,1),(91,1),(125,1)}
       109:{2,4,5,6}:{(91,1),(92,1),(97,1),(128,1),(129,1)}
       110:{1,3,4,5,7}:{(92,1),(93,1),(98,1),(129,1),(159,1),(166,1)}
       111:{2,3,4,7}:{(94,1),(124,1),(130,1),(173,1)}
       112:{1,3,5,7}:{(94,1),(95,1),(96,1),(125,1),(130,1),(132,1)}
       113:{1,2,4,6}:{(95,1),(97,1),(100,1),(132,1),(136,1),(161,1)}
       114:{2,3,4,5,7}:{(96,1),(101,1),(127,1),(131,1),(134,1),(160,1),(165,1)}
       115:{2,3,6}:{(96,1),(97,1),(132,1)}
       116:{2,4,6,7}:{(97,1),(98,1),(103,1),(129,1),(135,1)}
       117:{1,4,5,7}:{(99,1),(101,1),(136,1)}
       118:{1,3,5,6}:{(99,1),(100,1),(102,1),(132,1),(136,1)}
       119:{1,2,5,6,7}:{(100,1),(103,1),(133,1),(137,1),(174,1)}
       120:{2,4,6}:{(101,1),(102,1),(104,1),(136,1)}
       121:{2,3,5,6,7}:{(102,1),(103,1),(105,1),(135,1),(137,1),(139,1),(162,1),(165,1),(174,1)}
       122:{1,3,4,5,6}:{(104,1),(138,1),(140,1),(163,1)}
       123:{1,3,4,6,7}:{(104,1),(105,1),(139,1),(140,1)}
       124:{2,3,4,6}:{(106,1),(111,1),(141,1),(148,1),(167,1)}
       125:{1,3,5}:{(106,1),(107,1),(108,1),(141,1)}
       126:{1,2,4,5,6}:{(107,1),(109,1),(113,1),(143,1),(144,1),(153,1),(167,1),(170,1)}
       127:{2,3,4,5}:{(108,1),(142,1),(145,1)}
       128:{2,3,5,6}:{(108,1),(109,1),(115,1),(143,1),(145,1),(146,1)}
       129:{2,4,5,7}:{(109,1),(110,1),(116,1),(146,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(141,1),(147,1),(148,1)}
       131:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(147,1),(149,1),(169,1),(172,1)}
       132:{1,3,6}:{(112,1),(113,1),(115,1),(148,1)}
       133:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(150,1),(154,1),(171,1)}
       134:{2,3,4,6}:{(114,1),(115,1),(120,1),(149,1),(151,1)}
       135:{2,3,6,7}:{(115,1),(116,1),(146,1),(150,1)}
       136:{1,4,6}:{(117,1),(118,1),(120,1)}
       137:{1,3,5,6,7}:{(118,1),(119,1),(121,1),(150,1),(154,1),(172,1)}
       138:{2,4,5,6}:{(120,1),(122,1),(151,1),(153,1),(155,1),(170,1)}
       139:{2,4,6,7}:{(120,1),(121,1),(123,1),(154,1),(155,1)}
       140:{1,3,4,5,7}:{(122,1),(123,1),(155,1),(172,1)}
       141:{2,3,5}:{(124,1),(125,1),(156,1)}
       142:{1,3,4,5}:{(125,1),(127,1),(156,1),(158,1)}
       143:{1,3,5,6}:{(125,1),(126,1),(128,1),(132,1),(157,1),(158,1),(159,1)}
       144:{1,2,4,5,7}:{(126,1),(129,1),(133,1),(159,1),(166,1),(173,1),(174,1)}
       145:{2,3,4,6}:{(127,1),(128,1),(158,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(129,1),(135,1),(159,1),(160,1)}
       147:{2,4,5,7}:{(130,1),(131,1),(156,1),(161,1),(173,1),(174,1)}
       148:{2,3,6}:{(130,1),(132,1),(161,1)}
       149:{1,3,4,6}:{(131,1),(132,1),(134,1),(136,1),(161,1),(163,1)}
       150:{1,3,6,7}:{(132,1),(133,1),(135,1),(159,1),(162,1)}
       151:{2,3,5,6}:{(134,1),(138,1),(163,1),(165,1)}
       152:{2,3,4,6,7}:{(134,1),(135,1),(139,1),(160,1),(164,1),(165,1)}
       153:{1,4,5,6}:{(136,1),(138,1),(163,1),(166,1)}
       154:{1,4,6,7}:{(136,1),(137,1),(139,1),(166,1)}
       155:{2,4,5,7}:{(138,1),(139,1),(140,1),(165,1),(166,1),(174,1)}
       156:{2,4,5}:{(141,1),(142,1),(167,1)}
       157:{2,3,5,6}:{(141,1),(143,1),(148,1),(167,1),(168,1),(170,1)}
       158:{1,3,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1)}
       159:{1,3,5,7}:{(143,1),(144,1),(146,1),(150,1),(168,1),(169,1)}
       160:{2,3,4,7}:{(145,1),(146,1),(169,1)}
       161:{2,4,6}:{(147,1),(148,1),(149,1),(170,1)}
       162:{2,3,6,7}:{(148,1),(150,1),(168,1),(171,1)}
       163:{1,3,5,6}:{(149,1),(151,1),(153,1),(170,1),(172,1)}
       164:{1,3,4,6,7}:{(149,1),(150,1),(152,1),(154,1),(169,1),(171,1),(172,1)}
       165:{2,3,5,7}:{(151,1),(152,1),(155,1),(172,1)}
       166:{1,4,5,7}:{(153,1),(154,1),(155,1),(172,1)}
       167:{2,4,6}:{(156,1),(157,1),(158,1),(173,1)}
       168:{2,3,5,7}:{(157,1),(159,1),(162,1),(173,1),(174,1)}
       169:{1,3,4,7}:{(158,1),(159,1),(160,1),(173,1)}
       170:{2,5,6}:{(161,1),(163,1),(174,1)}
       171:{2,4,6,7}:{(161,1),(162,1),(164,1),(173,1),(174,1)}
       172:{1,3,5,7}:{(163,1),(164,1),(165,1),(166,1),(174,1)}
       173:{2,4,7}:{(167,1),(168,1),(169,1)}
       174:{2,5,7}:{(170,1),(171,1),(172,1)}

2702 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2703 :   0:{1,2,3,5,6}:{(2,1),(3,1),(17,1),(32,1),(63,1),(82,1),(89,1),(92,1),(95,1),(149,1),(153,1),(257,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(25,1),(67,1),(97,1),(155,1),(187,1),(264,1)}
         2:{1,2,3,5,7}:{(0,1),(9,1),(11,1),(55,1),(57,1),(127,1),(135,1),(207,1),(311,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(13,1),(14,1),(36,1),(134,1),(310,1)}
         4:{2,4,5,6}:{(1,1),(8,1),(15,1),(16,1),(52,1),(134,1),(234,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(16,1),(53,1),(108,1),(142,1),(209,1),(239,1),(316,1)}
         6:{2,3,4,5}:{(19,1),(20,1),(88,1),(144,1),(263,1)}
         7:{1,2,3,6}:{(17,1),(21,1),(22,1),(153,1)}
         8:{2,3,5,6}:{(4,1),(20,1),(25,1),(26,1),(264,1)}
         9:{1,2,3,6,7}:{(2,1),(27,1),(63,1),(95,1),(165,1),(174,1),(182,1),(260,1)}
        10:{1,4,5,6,7}:{(23,1),(28,1),(171,1),(177,1),(289,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(29,1),(184,1),(356,1)}
        12:{1,3,4,6,7}:{(5,1),(28,1),(31,1),(83,1),(87,1),(177,1),(284,1)}
        13:{1,3,4,6}:{(3,1),(24,1),(29,1),(32,1),(65,1),(95,1),(153,1)}
        14:{1,2,4,5}:{(3,1),(32,1),(88,1),(149,1),(256,1)}
        15:{1,4,5,6}:{(4,1),(25,1),(34,1),(175,1),(280,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(26,1),(31,1),(34,1),(90,1),(184,1),(287,1)}
        17:{1,2,3,5}:{(7,1),(36,1),(47,1),(105,1)}
        18:{2,3,4,5,7}:{(6,1),(37,1),(38,1),(42,1),(111,1),(131,1),(190,1),(192,1),(230,1),(295,1),(296,1),(323,1),(382,1)}
        19:{1,3,4,5}:{(6,1),(40,1),(41,1),(105,1),(125,1)}
        20:{2,3,4,6}:{(6,1),(8,1),(41,1),(42,1),(134,1),(194,1),(315,1)}
        21:{1,2,3,7}:{(7,1),(45,1),(207,1)}
        22:{1,2,4,6}:{(7,1),(36,1),(45,1),(46,1),(47,1),(124,1)}
        23:{2,4,5,6,7}:{(10,1),(44,1),(48,1),(56,1),(122,1),(128,1),(231,1),(334,1)}
        24:{2,3,4,6}:{(13,1),(39,1),(46,1),(49,1),(51,1),(99,1),(116,1),(132,1),(134,1),(194,1)}
        25:{1,3,5,6}:{(8,1),(15,1),(41,1),(52,1),(53,1)}
        26:{2,3,5,7}:{(8,1),(16,1),(42,1),(50,1),(53,1),(316,1)}
        27:{1,2,4,6,7}:{(9,1),(11,1),(54,1),(55,1),(58,1),(102,1),(217,1),(235,1),(322,1)}
        28:{1,3,5,6,7}:{(10,1),(12,1),(48,1),(56,1),(239,1)}
        29:{1,3,4,7}:{(11,1),(13,1),(49,1),(57,1),(207,1)}
        30:{1,2,4,5,7}:{(11,1),(14,1),(55,1),(57,1),(58,1),(131,1),(136,1)}
        31:{2,4,6,7}:{(12,1),(16,1),(50,1),(56,1),(59,1),(133,1)}
        32:{1,3,5}:{(13,1),(14,1),(51,1)}
        33:{1,2,4,5,6}:{(14,1),(15,1),(52,1),(58,1),(61,1),(62,1),(106,1),(134,1),(202,1),(208,1),(228,1),(234,1),(237,1),(300,1),(310,1),(381,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(53,1),(59,1),(229,1),(330,1)}
        35:{1,2,3,5,7}:{(17,1),(21,1),(63,1),(64,1),(80,1),(149,1),(150,1),(165,1),(241,1),(272,1)}
        36:{1,2,4}:{(17,1),(65,1)}
        37:{1,3,4,5,7}:{(18,1),(19,1),(70,1),(71,1),(75,1),(150,1),(159,1),(172,1),(242,1),(256,1),(263,1),(341,1),(356,1),(360,1),(363,1)}
        38:{2,3,4,6}:{(18,1),(68,1),(71,1),(181,1),(246,1),(283,1),(343,1),(366,1)}
        39:{2,3,4}:{(65,1),(73,1)}
        40:{2,4,5}:{(19,1),(73,1),(74,1)}
        41:{1,3,4,6}:{(19,1),(20,1),(25,1),(74,1),(75,1),(153,1),(175,1)}
        42:{2,3,4,7}:{(20,1),(26,1),(75,1),(184,1),(248,1),(360,1)}
        43:{1,2,3,6,7}:{(21,1),(63,1),(76,1),(77,1),(260,1),(276,1),(365,1),(367,1)}
        44:{1,4,5,6,7}:{(23,1),(78,1),(93,1),(177,1),(370,1)}
        45:{1,2,4,7}:{(21,1),(22,1),(79,1),(80,1)}
        46:{1,3,4,6}:{(22,1),(24,1),(65,1),(79,1),(81,1),(153,1),(173,1),(175,1)}
        47:{1,2,5}:{(22,1),(81,1)}
        48:{3,5,6,7}:{(23,1),(83,1),(284,1),(372,1)}
        49:{2,3,4,7}:{(24,1),(29,1),(79,1),(86,1),(164,1),(184,1),(248,1)}
        50:{2,3,6,7}:{(26,1),(31,1),(87,1),(284,1)}
        51:{2,3,5}:{(24,1),(32,1),(81,1),(88,1)}
        52:{2,5,6}:{(25,1),(74,1),(90,1)}
        53:{1,3,5,7}:{(25,1),(26,1),(34,1),(75,1),(87,1),(90,1)}
        54:{1,3,4,6,7}:{(27,1),(29,1),(84,1),(91,1),(95,1),(148,1),(185,1),(260,1),(271,1),(356,1),(364,1),(421,1)}
        55:{1,2,5,7}:{(27,1),(91,1),(92,1),(149,1),(287,1)}
        56:{2,5,6,7}:{(28,1),(31,1),(93,1),(287,1)}
        57:{1,3,5,7}:{(29,1),(30,1),(32,1),(86,1),(95,1)}
        58:{1,2,4,6}:{(30,1),(92,1),(95,1),(181,1),(185,1)}
        59:{1,4,6,7}:{(31,1),(34,1),(87,1),(93,1)}
        60:{1,3,4,5}:{(32,1),(88,1),(97,1),(256,1),(263,1),(342,1)}
        61:{1,3,5,6}:{(32,1),(33,1),(89,1),(95,1),(97,1),(98,1),(153,1),(264,1),(409,1)}
        62:{1,2,4,5,7}:{(33,1),(34,1),(90,1),(96,1),(98,1),(154,1),(184,1),(258,1),(265,1),(282,1),(287,1),(289,1),(347,1),(356,1),(411,1)}
        63:{1,2,3,6}:{(35,1),(102,1),(124,1),(204,1),(322,1)}
        64:{1,2,4,7}:{(35,1),(36,1),(102,1),(103,1),(291,1)}
        65:{1,3,4}:{(36,1),(39,1),(99,1),(105,1)}
        66:{1,2,4,5}:{(36,1),(40,1),(47,1),(105,1),(106,1),(125,1),(193,1)}
        67:{3,4,5,6}:{(107,1),(108,1),(332,1),(380,1)}
        68:{2,3,5,6}:{(38,1),(107,1),(110,1),(111,1),(234,1),(332,1),(398,1)}
        69:{2,3,4,7}:{(39,1),(103,1),(109,1),(112,1),(292,1),(318,1)}
        70:{2,4,5,7}:{(37,1),(40,1),(112,1),(113,1),(117,1),(210,1),(212,1),(293,1),(318,1),(379,1)}
        71:{1,3,4,6}:{(37,1),(38,1),(110,1),(113,1),(204,1),(226,1),(310,1),(315,1),(396,1)}
        72:{2,3,4,6,7}:{(38,1),(42,1),(50,1),(111,1),(114,1),(128,1),(219,1),(235,1),(295,1),(299,1),(333,1),(382,1),(399,1)}
        73:{2,3,5}:{(39,1),(40,1),(105,1),(116,1)}
        74:{2,4,6}:{(40,1),(41,1),(52,1),(116,1),(117,1)}
        75:{1,3,4,7}:{(41,1),(42,1),(53,1),(117,1),(207,1),(229,1)}
        76:{1,2,3,5,7}:{(43,1),(100,1),(118,1),(121,1),(220,1),(311,1),(387,1),(389,1),(427,1)}
        77:{1,2,4,6,7}:{(43,1),(45,1),(102,1),(118,1),(120,1),(121,1),(124,1),(221,1),(399,1)}
        78:{1,3,5,6,7}:{(44,1),(48,1),(119,1),(122,1),(400,1)}
        79:{1,3,4,7}:{(45,1),(46,1),(49,1),(123,1),(207,1),(229,1)}
        80:{1,2,5,7}:{(45,1),(47,1),(123,1),(124,1)}
        81:{1,3,5}:{(46,1),(47,1),(51,1),(125,1)}
        82:{1,2,5,6}:{(47,1),(52,1),(106,1),(124,1),(126,1),(127,1),(300,1)}
        83:{3,4,6,7}:{(48,1),(108,1),(128,1)}
        84:{2,3,4,6,7}:{(49,1),(54,1),(109,1),(120,1),(129,1),(132,1),(191,1),(214,1),(218,1),(232,1),(235,1),(299,1),(318,1),(324,1),(333,1),(382,1),(399,1)}
        85:{2,3,5,6,7}:{(48,1),(50,1),(56,1),(111,1),(122,1),(128,1),(130,1),(219,1)}
        86:{2,3,5,7}:{(49,1),(51,1),(57,1),(123,1),(131,1),(132,1)}
        87:{1,3,6,7}:{(50,1),(53,1),(59,1),(133,1)}
        88:{2,4,5}:{(51,1),(60,1),(125,1),(134,1)}
        89:{2,3,5,6}:{(51,1),(52,1),(61,1),(116,1),(126,1),(132,1),(134,1),(135,1),(194,1),(234,1),(300,1)}
        90:{2,5,7}:{(52,1),(53,1),(117,1),(133,1)}
        91:{1,3,5,7}:{(54,1),(55,1),(129,1),(136,1),(137,1),(201,1),(436,1)}
        92:{1,2,5,6}:{(55,1),(58,1),(137,1),(234,1),(322,1)}
        93:{1,5,6,7}:{(56,1),(59,1),(330,1)}
        94:{1,3,4,5,7}:{(57,1),(60,1),(131,1),(136,1),(139,1),(142,1),(230,1),(239,1)}
        95:{1,3,6}:{(57,1),(58,1),(132,1)}
        96:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(133,1),(138,1),(140,1),(231,1),(235,1),(238,1),(331,1),(384,1),(431,1)}
        97:{1,3,4,6}:{(60,1),(61,1),(134,1),(142,1),(310,1),(315,1),(380,1)}
        98:{1,3,5,7}:{(61,1),(62,1),(135,1),(140,1),(142,1),(207,1),(316,1),(430,1)}
        99:{2,3,4}:{(65,1),(144,1)}
       100:{1,2,3,5,6}:{(63,1),(76,1),(145,1),(149,1),(170,1),(241,1),(253,1),(257,1),(276,1),(349,1),(351,1),(405,1)}
       101:{1,3,4,5,6}:{(67,1),(146,1),(147,1),(155,1),(251,1),(264,1),(353,1),(368,1)}
       102:{1,2,4,6}:{(63,1),(64,1),(148,1),(149,1)}
       103:{1,3,4,7}:{(64,1),(65,1),(69,1),(143,1),(148,1),(150,1),(337,1),(356,1)}
       104:{1,2,4,5,7}:{(64,1),(66,1),(70,1),(80,1),(149,1),(150,1),(151,1),(154,1),(172,1),(245,1),(256,1),(258,1),(272,1),(338,1),(356,1),(363,1),(406,1)}
       105:{1,3,5}:{(65,1),(66,1),(73,1),(144,1),(153,1)}
       106:{1,2,4,6}:{(66,1),(74,1),(82,1),(153,1),(154,1),(175,1),(247,1)}
       107:{2,4,5,6}:{(67,1),(68,1),(155,1),(156,1),(343,1)}
       108:{3,4,5,7}:{(67,1),(83,1),(156,1),(372,1),(410,1)}
       109:{2,3,4,6}:{(69,1),(148,1),(157,1),(161,1),(266,1)}
       110:{1,3,5,6}:{(68,1),(71,1),(155,1),(158,1),(159,1),(264,1),(280,1),(420,1)}
       111:{2,3,5,7}:{(68,1),(72,1),(156,1),(159,1),(287,1),(372,1),(422,1)}
       112:{2,3,5,7}:{(69,1),(70,1),(73,1),(150,1),(157,1),(161,1),(164,1),(339,1),(408,1)}
       113:{2,4,6}:{(70,1),(71,1),(158,1),(161,1)}
       114:{1,3,4,6,7}:{(71,1),(72,1),(75,1),(87,1),(159,1),(162,1),(177,1),(260,1),(274,1),(281,1),(284,1),(341,1),(356,1),(360,1),(421,1)}
       115:{2,3,4,5}:{(73,1),(88,1),(152,1),(163,1),(342,1)}
       116:{2,3,6}:{(73,1),(74,1),(153,1),(164,1)}
       117:{2,4,7}:{(74,1),(75,1),(90,1),(164,1)}
       118:{1,2,4,7}:{(76,1),(145,1),(166,1),(356,1),(416,1)}
       119:{1,3,4,6,7}:{(78,1),(83,1),(147,1),(168,1),(177,1),(274,1),(284,1)}
       120:{1,3,4,6,7}:{(77,1),(79,1),(84,1),(148,1),(166,1),(169,1),(173,1),(260,1),(276,1),(278,1),(281,1),(356,1)}
       121:{1,2,5,7}:{(77,1),(149,1),(169,1),(170,1),(422,1)}
       122:{2,5,6,7}:{(78,1),(168,1),(171,1),(422,1)}
       123:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(172,1),(173,1)}
       124:{1,2,6}:{(80,1),(173,1)}
       125:{1,4,5}:{(81,1),(88,1),(175,1)}
       126:{1,3,5,6}:{(81,1),(82,1),(89,1),(153,1),(173,1),(175,1),(176,1),(280,1)}
       127:{1,2,5,7}:{(82,1),(90,1),(154,1),(174,1),(176,1),(347,1)}
       128:{2,4,6,7}:{(83,1),(85,1),(156,1),(177,1)}
       129:{2,3,5,7}:{(84,1),(91,1),(157,1),(169,1),(178,1),(179,1),(244,1),(287,1),(372,1),(422,1)}
       130:{1,3,5,6,7}:{(85,1),(87,1),(93,1),(159,1),(171,1),(177,1),(180,1),(274,1),(284,1)}
       131:{2,4,5,7}:{(86,1),(88,1),(94,1),(172,1),(181,1),(184,1),(287,1)}
       132:{2,3,6}:{(86,1),(95,1),(173,1),(181,1)}
       133:{2,6,7}:{(87,1),(90,1)}
       134:{2,4,6}:{(88,1),(89,1),(97,1),(175,1),(184,1)}
       135:{2,3,5,7}:{(89,1),(90,1),(98,1),(164,1),(176,1),(182,1),(184,1),(248,1),(287,1),(347,1)}
       136:{1,4,5,7}:{(91,1),(178,1),(185,1),(256,1),(356,1)}
       137:{1,3,5,6}:{(91,1),(92,1),(95,1),(179,1),(185,1),(364,1),(420,1)}
       138:{1,2,5,6,7}:{(92,1),(93,1),(96,1),(180,1),(186,1),(258,1),(287,1),(365,1),(371,1),(412,1)}
       139:{1,3,4,6}:{(94,1),(95,1),(181,1),(185,1),(187,1),(283,1)}
       140:{1,3,6,7}:{(95,1),(96,1),(98,1),(182,1),(284,1),(443,1)}
       141:{1,3,4,5,6}:{(97,1),(183,1),(187,1),(189,1),(261,1),(355,1),(359,1),(409,1)}
       142:{1,3,4,7}:{(97,1),(98,1),(184,1),(356,1),(360,1),(410,1)}
       143:{2,3,4,7}:{(99,1),(103,1),(191,1),(192,1),(374,1),(382,1)}
       144:{2,3,5}:{(99,1),(105,1),(193,1),(194,1)}
       145:{1,2,4,6}:{(100,1),(118,1),(197,1),(198,1),(291,1),(310,1),(388,1)}
       146:{2,4,5,6}:{(101,1),(196,1),(199,1),(200,1),(305,1),(388,1),(398,1)}
       147:{1,3,4,5,7}:{(101,1),(108,1),(119,1),(200,1),(209,1),(306,1),(316,1),(391,1),(400,1)}
       148:{1,3,4,6}:{(102,1),(103,1),(109,1),(191,1),(201,1),(204,1),(310,1)}
       149:{1,2,5}:{(102,1),(201,1)}
       150:{1,3,5,7}:{(103,1),(104,1),(105,1),(112,1),(192,1),(201,1),(204,1),(207,1),(375,1),(427,1)}
       151:{1,2,4,6}:{(104,1),(113,1),(124,1),(202,1),(204,1),(226,1),(298,1),(310,1),(322,1),(396,1)}
       152:{1,3,4,5}:{(105,1),(115,1),(125,1),(193,1),(206,1)}
       153:{1,3,6}:{(105,1),(106,1),(116,1),(194,1),(207,1)}
       154:{1,2,4,7}:{(106,1),(117,1),(127,1),(207,1),(229,1),(301,1)}
       155:{1,4,5,6}:{(107,1),(110,1),(208,1),(209,1),(310,1)}
       156:{2,4,5,7}:{(107,1),(108,1),(111,1),(128,1),(209,1),(382,1)}
       157:{2,3,5}:{(109,1),(201,1),(210,1)}
       158:{2,5,6}:{(110,1),(113,1),(212,1)}
       159:{1,3,5,7}:{(110,1),(111,1),(114,1),(209,1),(212,1),(316,1),(330,1),(436,1)}
       160:{2,3,4,5,7}:{(112,1),(115,1),(131,1),(203,1),(210,1),(213,1),(216,1),(230,1),(318,1),(319,1),(323,1),(377,1),(429,1)}
       161:{2,3,6}:{(112,1),(113,1),(204,1)}
       162:{2,4,6,7}:{(113,1),(114,1),(117,1),(133,1),(212,1),(214,1),(318,1),(325,1),(379,1)}
       163:{2,3,4,6}:{(115,1),(116,1),(134,1),(206,1),(215,1),(216,1),(380,1)}
       164:{2,3,7}:{(116,1),(117,1),(207,1)}
       165:{1,2,3,7}:{(195,1),(217,1),(427,1)}
       166:{1,3,4,7}:{(118,1),(197,1),(218,1),(220,1),(427,1)}
       167:{1,2,4,5,7}:{(118,1),(121,1),(198,1),(220,1),(221,1),(223,1),(323,1)}
       168:{2,4,6,7}:{(119,1),(122,1),(200,1),(219,1),(222,1),(325,1)}
       169:{1,3,5,7}:{(120,1),(121,1),(129,1),(201,1),(223,1),(224,1),(330,1)}
       170:{1,2,5,6}:{(121,1),(124,1),(221,1),(224,1),(398,1)}
       171:{1,5,6,7}:{(122,1),(222,1),(436,1)}
       172:{1,4,5,7}:{(123,1),(125,1),(131,1),(226,1),(229,1),(330,1)}
       173:{1,3,6}:{(123,1),(124,1),(132,1),(226,1)}
       174:{1,2,6,7}:{(124,1),(127,1),(133,1),(227,1),(384,1)}
       175:{1,4,6}:{(125,1),(126,1),(134,1),(229,1)}
       176:{1,3,5,7}:{(126,1),(127,1),(135,1),(207,1),(227,1),(229,1),(330,1)}
       177:{1,4,6,7}:{(128,1),(130,1),(209,1),(231,1)}
       178:{2,4,5,7}:{(129,1),(136,1),(210,1),(223,1),(230,1),(232,1),(296,1),(318,1),(382,1)}
       179:{2,3,5,6}:{(129,1),(132,1),(137,1),(224,1),(232,1),(234,1),(324,1),(332,1),(398,1)}
       180:{2,5,6,7}:{(130,1),(133,1),(212,1),(231,1),(325,1)}
       181:{2,4,6}:{(131,1),(132,1),(139,1),(226,1),(234,1)}
       182:{2,3,6,7}:{(132,1),(133,1),(135,1),(140,1),(227,1),(235,1),(384,1)}
       183:{2,4,5,6}:{(134,1),(141,1),(215,1),(228,1),(234,1),(236,1),(300,1)}
       184:{2,4,7}:{(134,1),(135,1),(142,1),(229,1)}
       185:{1,4,6}:{(136,1),(137,1),(232,1)}
       186:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(233,1),(238,1),(239,1),(311,1),(397,1),(436,1)}
       187:{1,3,5,6}:{(139,1),(234,1),(237,1),(239,1),(332,1)}
       188:{1,3,4,6,7}:{(139,1),(140,1),(142,1),(235,1),(238,1),(239,1),(333,1)}
       189:{1,3,4,5,7}:{(141,1),(142,1),(236,1),(239,1),(240,1),(314,1),(392,1),(394,1),(430,1)}
       190:{2,3,4,5}:{(242,1),(243,1),(263,1),(350,1),(403,1)}
       191:{2,3,4,6}:{(143,1),(148,1),(244,1),(246,1),(343,1)}
       192:{2,3,5,7}:{(143,1),(144,1),(150,1),(244,1),(245,1),(246,1),(248,1),(403,1),(439,1)}
       193:{2,4,5}:{(144,1),(152,1),(247,1)}
       194:{2,3,6}:{(144,1),(153,1),(247,1),(248,1)}
       195:{1,2,3,6}:{(165,1),(241,1),(249,1),(405,1)}
       196:{2,3,5,6}:{(146,1),(243,1),(251,1),(252,1),(264,1)}
       197:{1,3,4,6}:{(145,1),(166,1),(250,1),(253,1),(276,1),(337,1),(405,1)}
       198:{1,2,4,5}:{(145,1),(149,1),(253,1),(256,1),(350,1)}
       199:{1,4,5,6}:{(146,1),(251,1),(255,1),(413,1),(420,1)}
       200:{2,4,5,7}:{(146,1),(147,1),(168,1),(252,1),(255,1),(352,1),(416,1),(422,1)}
       201:{1,3,5}:{(148,1),(149,1),(157,1),(244,1),(256,1)}
       202:{1,2,5,6}:{(149,1),(151,1),(158,1),(257,1),(258,1),(280,1),(345,1),(420,1)}
       203:{1,3,4,5,7}:{(150,1),(152,1),(160,1),(172,1),(245,1),(256,1),(259,1),(262,1),(342,1),(356,1),(357,1),(363,1),(404,1),(410,1),(441,1)}
       204:{1,3,6}:{(150,1),(151,1),(161,1),(246,1)}
       205:{1,2,4,6,7}:{(151,1),(154,1),(162,1),(174,1),(258,1),(260,1),(281,1),(346,1),(356,1),(365,1),(406,1),(421,1)}
       206:{1,3,4,6}:{(152,1),(153,1),(163,1),(175,1),(247,1),(261,1),(262,1)}
       207:{1,3,7}:{(153,1),(154,1),(164,1),(248,1)}
       208:{2,4,5,6}:{(155,1),(158,1),(264,1),(265,1),(266,1)}
       209:{1,4,5,7}:{(155,1),(156,1),(159,1),(177,1),(265,1),(356,1)}
       210:{2,4,5}:{(157,1),(256,1),(263,1),(266,1)}
       211:{2,3,5,6}:{(157,1),(158,1),(161,1),(257,1),(264,1),(266,1),(267,1)}
       212:{2,5,7}:{(158,1),(159,1),(162,1)}
       213:{2,3,4,6}:{(160,1),(161,1),(181,1),(259,1),(266,1),(268,1),(283,1),(366,1)}
       214:{2,3,6,7}:{(161,1),(162,1),(164,1),(260,1),(267,1),(284,1),(408,1)}
       215:{2,3,5,6}:{(163,1),(183,1),(261,1),(270,1),(409,1)}
       216:{2,3,4,7}:{(163,1),(164,1),(184,1),(262,1),(270,1),(410,1)}
       217:{1,2,4,7}:{(165,1),(249,1),(271,1),(272,1)}
       218:{2,3,4,7}:{(166,1),(250,1),(271,1),(273,1),(408,1),(416,1),(439,1)}
       219:{2,3,6,7}:{(168,1),(252,1),(274,1),(284,1)}
       220:{1,3,5,7}:{(166,1),(167,1),(253,1),(273,1),(276,1)}
       221:{1,2,4,6}:{(167,1),(170,1),(276,1),(278,1),(366,1)}
       222:{1,4,6,7}:{(168,1),(171,1),(255,1),(274,1)}
       223:{1,4,5,7}:{(169,1),(178,1),(256,1),(278,1),(356,1)}
       224:{1,3,5,6}:{(169,1),(170,1),(173,1),(179,1),(276,1),(278,1),(280,1)}
       225:{1,2,5,6,7}:{(170,1),(171,1),(174,1),(180,1),(258,1),(277,1),(279,1),(412,1),(422,1),(446,1)}
       226:{1,4,6}:{(172,1),(173,1),(181,1),(280,1)}
       227:{1,3,6,7}:{(173,1),(174,1),(176,1),(182,1),(281,1)}
       228:{1,4,5,6}:{(175,1),(183,1),(261,1),(280,1),(282,1)}
       229:{1,4,7}:{(175,1),(176,1),(184,1)}
       230:{3,4,5,7}:{(178,1),(263,1),(283,1),(342,1),(360,1),(372,1),(410,1)}
       231:{2,4,6,7}:{(177,1),(180,1),(265,1),(284,1)}
       232:{2,4,6}:{(178,1),(179,1),(185,1),(278,1),(283,1)}
       233:{2,3,5,6,7}:{(179,1),(180,1),(182,1),(186,1),(267,1),(279,1),(284,1),(286,1),(287,1),(344,1),(367,1),(372,1),(412,1),(422,1),(443,1)}
       234:{2,5,6}:{(181,1),(187,1),(280,1),(287,1)}
       235:{2,4,6,7}:{(181,1),(182,1),(184,1),(188,1),(281,1),(287,1)}
       236:{2,4,5,7}:{(183,1),(184,1),(189,1),(270,1),(282,1),(287,1),(288,1),(347,1)}
       237:{1,4,5,6}:{(185,1),(187,1),(285,1),(289,1),(420,1)}
       238:{1,4,6,7}:{(185,1),(186,1),(286,1),(289,1),(356,1)}
       239:{1,3,5,7}:{(187,1),(188,1),(287,1),(289,1),(372,1)}
       240:{1,3,4,6,7}:{(189,1),(288,1),(290,1),(358,1),(418,1),(419,1),(443,1)}
       241:{1,2,3,5}:{(195,1),(291,1),(303,1),(375,1)}
       242:{1,3,4,5}:{(190,1),(293,1),(294,1),(375,1),(385,1)}
       243:{2,3,4,6}:{(190,1),(196,1),(294,1),(295,1),(315,1),(388,1),(425,1)}
       244:{2,3,5}:{(191,1),(201,1),(296,1)}
       245:{2,4,5,7}:{(192,1),(193,1),(203,1),(296,1),(298,1),(301,1),(382,1),(383,1),(424,1),(448,1)}
       246:{2,3,6}:{(192,1),(204,1),(298,1)}
       247:{2,4,6}:{(193,1),(194,1),(206,1),(300,1),(301,1)}
       248:{2,3,7}:{(194,1),(207,1),(301,1)}
       249:{1,2,4,6}:{(195,1),(217,1),(291,1),(302,1),(303,1),(322,1)}
       250:{2,3,4,6}:{(197,1),(218,1),(292,1),(302,1),(304,1),(324,1),(374,1),(378,1),(388,1),(425,1)}
       251:{1,3,5,6}:{(196,1),(199,1),(294,1),(305,1),(306,1)}
       252:{2,3,5,7}:{(196,1),(200,1),(219,1),(295,1),(306,1),(316,1)}
       253:{1,3,5}:{(197,1),(198,1),(304,1)}
       254:{1,2,4,5,6}:{(198,1),(199,1),(202,1),(208,1),(221,1),(305,1),(308,1),(309,1),(310,1),(328,1),(376,1),(381,1),(388,1),(398,1),(432,1),(447,1)}
       255:{1,4,5,7}:{(199,1),(200,1),(222,1),(306,1),(433,1),(436,1)}
       256:{1,4,5}:{(201,1),(210,1),(296,1),(310,1)}
       257:{1,3,5,6}:{(201,1),(202,1),(204,1),(211,1),(297,1),(310,1),(311,1)}
       258:{1,2,5,7}:{(202,1),(205,1),(212,1),(311,1),(330,1),(383,1),(436,1)}
       259:{1,3,4,6}:{(203,1),(204,1),(213,1),(226,1),(298,1),(310,1),(312,1),(380,1),(396,1)}
       260:{1,3,6,7}:{(204,1),(205,1),(207,1),(214,1),(299,1),(311,1),(427,1)}
       261:{1,3,5,6}:{(206,1),(215,1),(228,1),(300,1),(314,1)}
       262:{1,3,4,7}:{(206,1),(207,1),(216,1),(229,1),(301,1),(314,1)}
       263:{3,4,5}:{(210,1),(315,1)}
       264:{3,5,6}:{(208,1),(315,1),(316,1)}
       265:{2,4,5,7}:{(208,1),(209,1),(212,1),(231,1),(316,1),(318,1)}
       266:{2,4,6}:{(210,1),(211,1),(310,1),(315,1),(318,1)}
       267:{2,3,5,7}:{(211,1),(212,1),(214,1),(311,1),(316,1),(318,1)}
       268:{2,3,5,6}:{(213,1),(234,1),(312,1),(317,1),(319,1),(332,1),(398,1)}
       269:{2,3,4,6,7}:{(213,1),(214,1),(216,1),(235,1),(313,1),(318,1),(319,1),(320,1),(333,1),(395,1),(399,1),(429,1),(450,1)}
       270:{2,3,5,7}:{(215,1),(216,1),(236,1),(314,1),(320,1),(430,1)}
       271:{1,3,4,7}:{(217,1),(218,1),(302,1),(321,1),(427,1),(433,1)}
       272:{1,2,5,7}:{(217,1),(303,1),(321,1),(322,1)}
       273:{2,3,5,7}:{(218,1),(220,1),(304,1),(321,1),(323,1),(324,1)}
       274:{1,3,6,7}:{(219,1),(222,1),(306,1),(325,1)}
       275:{1,3,4,5,7}:{(220,1),(223,1),(230,1),(307,1),(323,1),(326,1),(391,1),(400,1)}
       276:{1,3,6}:{(220,1),(221,1),(324,1)}
       277:{1,2,4,6,7}:{(221,1),(222,1),(225,1),(231,1),(309,1),(325,1),(327,1),(329,1),(399,1),(431,1),(451,1),(454,1)}
       278:{1,4,6}:{(223,1),(224,1),(232,1)}
       279:{1,3,5,6,7}:{(224,1),(225,1),(227,1),(233,1),(311,1),(327,1),(329,1),(330,1),(400,1)}
       280:{1,5,6}:{(226,1),(234,1),(330,1)}
       281:{1,4,6,7}:{(226,1),(227,1),(229,1),(235,1),(330,1)}
       282:{1,4,5,7}:{(228,1),(229,1),(236,1),(314,1),(330,1),(331,1)}
       283:{3,4,6}:{(230,1),(232,1),(332,1)}
       284:{3,6,7}:{(231,1),(316,1)}
       285:{2,4,5,6}:{(232,1),(234,1),(237,1),(328,1),(332,1),(334,1),(398,1)}
       286:{2,4,6,7}:{(232,1),(233,1),(238,1),(318,1),(329,1),(333,1),(334,1),(382,1)}
       287:{2,5,7}:{(234,1),(235,1),(239,1),(330,1)}
       288:{2,4,6,7}:{(236,1),(240,1),(320,1),(331,1),(335,1),(384,1)}
       289:{1,4,5,7}:{(237,1),(238,1),(239,1),(334,1),(436,1)}
       290:{1,3,5,6,7}:{(239,1),(240,1),(335,1),(336,1),(402,1)}
       291:{1,2,4}:{(241,1),(337,1)}
       292:{2,3,4}:{(337,1),(339,1)}
       293:{2,4,5}:{(242,1),(339,1),(340,1)}
       294:{1,3,4,6}:{(242,1),(243,1),(251,1),(340,1),(341,1),(405,1),(413,1)}
       295:{2,3,4,7}:{(243,1),(252,1),(341,1),(360,1),(416,1),(439,1)}
       296:{2,4,5}:{(244,1),(256,1),(342,1),(343,1)}
       297:{2,3,5,6}:{(244,1),(246,1),(257,1),(343,1),(344,1),(345,1),(409,1)}
       298:{2,4,6}:{(245,1),(246,1),(259,1),(345,1)}
       299:{2,3,6,7}:{(246,1),(248,1),(260,1),(344,1),(346,1),(439,1),(443,1)}
       300:{2,5,6}:{(247,1),(261,1),(347,1)}
       301:{2,4,7}:{(247,1),(248,1),(262,1),(347,1)}
       302:{1,3,4,6}:{(249,1),(250,1),(271,1),(337,1),(348,1),(364,1),(405,1),(413,1)}
       303:{1,2,5}:{(249,1),(348,1)}
       304:{2,3,5}:{(250,1),(253,1),(348,1),(350,1)}
       305:{2,5,6}:{(251,1),(340,1),(352,1)}
       306:{1,3,5,7}:{(251,1),(252,1),(255,1),(274,1),(341,1),(352,1)}
       307:{1,3,4,5}:{(253,1),(256,1),(263,1),(342,1),(350,1),(353,1)}
       308:{1,3,5,6}:{(253,1),(254,1),(264,1),(276,1),(351,1),(353,1),(354,1),(405,1),(409,1)}
       309:{1,2,4,5,7}:{(254,1),(255,1),(258,1),(265,1),(277,1),(352,1),(354,1),(356,1),(370,1),(406,1),(411,1),(416,1),(422,1),(444,1),(452,1)}
       310:{1,4,6}:{(256,1),(257,1),(266,1),(343,1),(356,1)}
       311:{1,3,5,7}:{(257,1),(258,1),(260,1),(267,1),(344,1),(356,1)}
       312:{1,3,5,6}:{(259,1),(268,1),(280,1),(345,1),(355,1),(357,1),(409,1),(420,1)}
       313:{1,3,4,6,7}:{(259,1),(260,1),(262,1),(269,1),(281,1),(346,1),(356,1),(357,1),(358,1),(410,1),(418,1),(421,1),(441,1),(443,1),(453,1)}
       314:{1,3,5,7}:{(261,1),(262,1),(270,1),(282,1),(347,1),(358,1)}
       315:{3,4,6}:{(263,1),(264,1),(266,1),(360,1)}
       316:{3,5,7}:{(264,1),(265,1),(284,1),(360,1)}
       317:{2,4,5,6}:{(266,1),(268,1),(355,1),(359,1),(361,1)}
       318:{2,4,7}:{(266,1),(267,1),(356,1),(360,1)}
       319:{2,3,5,7}:{(268,1),(269,1),(287,1),(357,1),(361,1),(372,1),(422,1)}
       320:{2,3,6,7}:{(270,1),(288,1),(358,1),(443,1)}
       321:{1,3,5,7}:{(271,1),(272,1),(273,1),(348,1),(363,1),(364,1)}
       322:{1,2,6}:{(272,1),(364,1)}
       323:{2,4,5,7}:{(273,1),(275,1),(350,1),(363,1),(366,1),(416,1),(422,1)}
       324:{2,3,6}:{(273,1),(276,1),(364,1),(366,1)}
       325:{2,6,7}:{(274,1),(352,1)}
       326:{1,3,4,6}:{(275,1),(276,1),(278,1),(283,1),(366,1),(368,1)}
       327:{1,3,6,7}:{(276,1),(277,1),(284,1),(354,1),(367,1),(443,1)}
       328:{1,4,5,6}:{(278,1),(280,1),(285,1),(368,1),(370,1)}
       329:{1,4,6,7}:{(278,1),(279,1),(286,1),(356,1),(370,1)}
       330:{1,5,7}:{(280,1),(281,1),(287,1)}
       331:{1,4,6,7}:{(282,1),(288,1),(358,1),(371,1)}
       332:{3,5,6}:{(283,1),(285,1),(372,1)}
       333:{3,4,6,7}:{(283,1),(284,1),(286,1),(360,1),(372,1),(410,1),(443,1)}
       334:{2,4,5,7}:{(285,1),(286,1),(287,1),(289,1),(370,1),(372,1),(422,1)}
       335:{2,5,6,7}:{(287,1),(288,1),(290,1),(371,1)}
       336:{1,4,5,6,7}:{(289,1),(290,1),(373,1),(418,1),(446,1)}
       337:{1,3,4}:{(291,1),(292,1),(374,1),(375,1)}
       338:{1,2,4,5}:{(291,1),(293,1),(303,1),(375,1),(376,1),(385,1),(424,1)}
       339:{2,3,5}:{(292,1),(293,1),(375,1),(378,1)}
       340:{2,4,6}:{(293,1),(294,1),(305,1),(378,1),(379,1)}
       341:{1,3,4,7}:{(294,1),(295,1),(306,1),(379,1),(427,1),(433,1)}
       342:{3,4,5}:{(296,1),(380,1)}
       343:{2,4,6}:{(296,1),(297,1),(310,1),(380,1),(382,1)}
       344:{2,3,5,7}:{(297,1),(299,1),(311,1),(382,1),(383,1),(430,1)}
       345:{2,5,6}:{(298,1),(312,1),(383,1)}
       346:{2,4,6,7}:{(298,1),(299,1),(301,1),(313,1),(382,1),(383,1),(384,1),(448,1),(454,1)}
       347:{2,5,7}:{(300,1),(301,1),(314,1),(384,1)}
       348:{1,3,5}:{(302,1),(303,1),(304,1),(385,1)}
       349:{1,2,5,6}:{(303,1),(305,1),(322,1),(376,1),(386,1),(387,1),(447,1)}
       350:{2,4,5}:{(304,1),(307,1),(385,1),(388,1)}
       351:{2,3,5,6}:{(304,1),(305,1),(308,1),(324,1),(378,1),(386,1),(388,1),(389,1),(398,1),(425,1),(447,1)}
       352:{2,5,7}:{(305,1),(306,1),(325,1),(379,1)}
       353:{1,3,4,6}:{(307,1),(308,1),(310,1),(315,1),(380,1),(388,1),(391,1)}
       354:{1,3,5,7}:{(308,1),(309,1),(316,1),(327,1),(389,1),(391,1),(427,1),(430,1)}
       355:{1,4,5,6}:{(310,1),(312,1),(317,1),(381,1),(392,1)}
       356:{1,4,7}:{(310,1),(311,1),(318,1),(382,1)}
       357:{1,3,5,7}:{(312,1),(313,1),(319,1),(330,1),(383,1),(392,1),(430,1),(436,1)}
       358:{1,3,6,7}:{(314,1),(320,1),(331,1),(384,1)}
       359:{3,4,5,6}:{(315,1),(317,1),(332,1),(394,1)}
       360:{3,4,7}:{(315,1),(316,1),(318,1)}
       361:{2,4,5,7}:{(317,1),(318,1),(319,1),(392,1),(394,1),(395,1)}
       362:{2,3,5,6,7}:{(319,1),(320,1),(335,1),(393,1),(395,1),(402,1),(437,1),(450,1)}
       363:{1,4,5,7}:{(321,1),(323,1),(385,1),(396,1),(433,1),(436,1)}
       364:{1,3,6}:{(321,1),(322,1),(324,1),(396,1)}
       365:{1,2,6,7}:{(322,1),(325,1),(387,1),(397,1),(454,1)}
       366:{2,4,6}:{(323,1),(324,1),(326,1),(396,1),(398,1)}
       367:{2,3,6,7}:{(324,1),(325,1),(327,1),(389,1),(397,1),(399,1),(454,1)}
       368:{1,3,5,6}:{(326,1),(328,1),(332,1),(398,1),(400,1)}
       369:{1,3,4,6,7}:{(326,1),(327,1),(329,1),(333,1),(391,1),(399,1),(400,1)}
       370:{1,4,5,7}:{(328,1),(329,1),(330,1),(334,1),(400,1)}
       371:{1,5,6,7}:{(330,1),(331,1),(335,1)}
       372:{3,5,7}:{(332,1),(333,1),(334,1)}
       373:{2,4,5,6,7}:{(334,1),(335,1),(336,1),(395,1),(401,1),(402,1),(431,1),(437,1)}
       374:{2,3,4}:{(337,1),(403,1)}
       375:{1,3,5}:{(337,1),(338,1),(339,1),(403,1),(405,1)}
       376:{1,2,4,6}:{(338,1),(340,1),(349,1),(405,1),(406,1),(413,1),(438,1)}
       377:{2,3,4,5}:{(339,1),(342,1),(350,1),(404,1),(407,1)}
       378:{2,3,6}:{(339,1),(340,1),(405,1),(408,1)}
       379:{2,4,7}:{(340,1),(341,1),(352,1),(408,1)}
       380:{3,4,6}:{(342,1),(343,1),(409,1),(410,1)}
       381:{2,4,5,6}:{(343,1),(345,1),(355,1),(409,1),(411,1)}
       382:{2,4,7}:{(343,1),(344,1),(356,1),(410,1)}
       383:{2,5,7}:{(345,1),(346,1),(357,1)}
       384:{2,6,7}:{(347,1),(358,1)}
       385:{1,4,5}:{(348,1),(350,1),(413,1)}
       386:{1,3,5,6}:{(348,1),(349,1),(351,1),(364,1),(405,1),(413,1),(414,1),(420,1)}
       387:{1,2,5,7}:{(349,1),(352,1),(365,1),(406,1),(414,1),(452,1)}
       388:{2,4,6}:{(350,1),(351,1),(353,1),(413,1),(416,1)}
       389:{2,3,5,7}:{(351,1),(352,1),(354,1),(367,1),(408,1),(414,1),(416,1),(422,1),(439,1),(452,1)}
       390:{1,3,4,5,6}:{(353,1),(355,1),(359,1),(368,1),(409,1),(415,1),(417,1),(440,1)}
       391:{1,3,4,7}:{(353,1),(354,1),(356,1),(360,1),(410,1),(416,1)}
       392:{1,4,5,7}:{(355,1),(356,1),(357,1),(361,1),(411,1),(418,1)}
       393:{1,3,5,6,7}:{(357,1),(358,1),(362,1),(371,1),(412,1),(418,1),(443,1),(446,1),(453,1)}
       394:{3,4,5,7}:{(359,1),(360,1),(361,1),(372,1),(419,1)}
       395:{2,4,6,7}:{(361,1),(362,1),(418,1),(419,1)}
       396:{1,4,6}:{(363,1),(364,1),(366,1),(420,1)}
       397:{1,3,6,7}:{(364,1),(365,1),(367,1),(414,1),(421,1)}
       398:{2,5,6}:{(366,1),(368,1),(420,1),(422,1)}
       399:{2,4,6,7}:{(366,1),(367,1),(369,1),(416,1),(421,1),(422,1)}
       400:{1,3,5,7}:{(368,1),(369,1),(370,1),(372,1),(422,1)}
       401:{1,4,5,6,7}:{(370,1),(371,1),(373,1),(418,1),(423,1)}
       402:{3,5,6,7}:{(372,1),(373,1),(419,1),(443,1)}
       403:{2,3,5}:{(374,1),(375,1),(424,1),(425,1)}
       404:{1,3,4,5}:{(375,1),(377,1),(385,1),(424,1),(426,1)}
       405:{1,3,6}:{(375,1),(376,1),(378,1),(425,1),(427,1)}
       406:{1,2,4,7}:{(376,1),(379,1),(387,1),(427,1),(433,1),(448,1)}
       407:{2,3,4,6}:{(377,1),(378,1),(380,1),(388,1),(426,1),(428,1),(429,1)}
       408:{2,3,7}:{(378,1),(379,1),(427,1)}
       409:{3,5,6}:{(380,1),(381,1),(430,1)}
       410:{3,4,7}:{(380,1),(382,1),(430,1)}
       411:{2,4,5,7}:{(381,1),(382,1),(383,1),(392,1),(430,1),(431,1)}
       412:{2,5,6,7}:{(383,1),(384,1),(393,1),(431,1),(454,1)}
       413:{1,4,6}:{(385,1),(386,1),(388,1),(433,1)}
       414:{1,3,5,7}:{(386,1),(387,1),(389,1),(397,1),(427,1),(433,1),(436,1)}
       415:{2,4,5,6}:{(388,1),(390,1),(398,1),(428,1),(432,1),(434,1),(447,1)}
       416:{2,4,7}:{(388,1),(389,1),(391,1),(433,1)}
       417:{1,3,4,5,7}:{(390,1),(391,1),(392,1),(394,1),(400,1),(430,1),(434,1),(435,1),(449,1)}
       418:{1,4,6,7}:{(392,1),(393,1),(395,1),(431,1)}
       419:{3,4,6,7}:{(394,1),(395,1),(402,1)}
       420:{1,5,6}:{(396,1),(398,1),(436,1)}
       421:{1,4,6,7}:{(396,1),(397,1),(399,1),(433,1),(436,1)}
       422:{2,5,7}:{(398,1),(399,1),(400,1),(436,1)}
       423:{1,3,5,6,7}:{(400,1),(401,1),(402,1),(435,1),(437,1)}
       424:{2,4,5}:{(403,1),(404,1),(438,1)}
       425:{2,3,6}:{(403,1),(405,1),(438,1),(439,1)}
       426:{1,3,4,6}:{(404,1),(405,1),(407,1),(413,1),(438,1),(440,1),(441,1)}
       427:{1,3,7}:{(405,1),(406,1),(408,1),(439,1)}
       428:{2,3,5,6}:{(407,1),(409,1),(415,1),(440,1),(442,1)}
       429:{2,3,4,7}:{(407,1),(408,1),(410,1),(416,1),(441,1),(442,1)}
       430:{3,5,7}:{(409,1),(410,1),(411,1),(443,1)}
       431:{2,4,6,7}:{(411,1),(412,1),(418,1),(443,1)}
       432:{1,4,5,6}:{(413,1),(415,1),(420,1),(440,1),(444,1)}
       433:{1,4,7}:{(413,1),(414,1),(416,1)}
       434:{2,4,5,7}:{(415,1),(416,1),(417,1),(422,1),(442,1),(444,1),(445,1),(452,1)}
       435:{1,3,4,6,7}:{(417,1),(418,1),(419,1),(423,1),(443,1),(445,1),(453,1)}
       436:{1,5,7}:{(420,1),(421,1),(422,1)}
       437:{2,5,6,7}:{(422,1),(423,1),(445,1),(446,1)}
       438:{2,4,6}:{(424,1),(425,1),(426,1),(447,1),(448,1)}
       439:{2,3,7}:{(425,1),(427,1),(448,1)}
       440:{1,3,5,6}:{(426,1),(428,1),(432,1),(447,1),(449,1)}
       441:{1,3,4,7}:{(426,1),(427,1),(429,1),(433,1),(448,1),(449,1)}
       442:{2,3,5,7}:{(428,1),(429,1),(430,1),(434,1),(449,1),(450,1)}
       443:{3,6,7}:{(430,1),(431,1)}
       444:{1,4,5,7}:{(432,1),(433,1),(434,1),(436,1),(449,1),(451,1)}
       445:{2,4,6,7}:{(434,1),(435,1),(437,1),(450,1),(451,1),(454,1)}
       446:{1,5,6,7}:{(436,1),(437,1),(451,1)}
       447:{2,5,6}:{(438,1),(440,1),(452,1)}
       448:{2,4,7}:{(438,1),(439,1),(441,1),(452,1)}
       449:{1,3,5,7}:{(440,1),(441,1),(442,1),(444,1),(452,1),(453,1)}
       450:{2,3,6,7}:{(442,1),(443,1),(445,1),(453,1)}
       451:{1,4,6,7}:{(444,1),(445,1),(446,1),(453,1)}
       452:{2,5,7}:{(447,1),(448,1),(449,1),(454,1)}
       453:{1,3,6,7}:{(449,1),(450,1),(451,1),(454,1)}
       454:{2,6,7}:{(452,1),(453,1)}

2704 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(99,1),(146,1),(150,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(35,1),(128,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(14,1),(116,1),(130,1),(131,1),(158,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(54,1),(102,1),(146,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(24,1),(105,1),(107,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(134,1),(169,1)}
         6:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(36,1),(69,1),(120,1),(129,1),(130,1)}
         7:{3,4,5,6,7}:{(15,1),(127,1),(184,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(163,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1),(80,1),(83,1),(158,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,5,6}:{(5,1),(14,1),(18,1),(19,1),(112,1),(155,1)}
        12:{2,3,4,5,6}:{(20,1),(21,1),(30,1),(63,1),(86,1),(186,1)}
        13:{1,2,4,5,7}:{(6,1),(10,1),(23,1),(24,1),(55,1),(103,1),(105,1)}
        14:{1,3,5,6}:{(6,1),(11,1),(22,1),(24,1),(25,1),(92,1),(141,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(26,1),(102,1),(176,1)}
        16:{1,3,5,6,7}:{(8,1),(9,1),(26,1),(27,1),(60,1),(173,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(27,1),(28,1),(169,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(24,1),(28,1),(29,1)}
        19:{2,3,4,6}:{(11,1),(25,1),(29,1),(30,1)}
        20:{2,3,4,5,7}:{(12,1),(32,1),(33,1),(109,1),(179,1)}
        21:{1,3,4,5,6}:{(12,1),(33,1),(34,1),(40,1),(65,1),(82,1),(183,1),(184,1)}
        22:{2,3,5,6}:{(14,1),(35,1),(36,1),(76,1),(126,1),(129,1)}
        23:{1,2,4,6,7}:{(13,1),(17,1),(37,1),(38,1),(78,1),(80,1),(120,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(18,1),(35,1),(38,1),(39,1)}
        25:{1,3,4,6}:{(14,1),(19,1),(36,1),(39,1),(40,1)}
        26:{1,4,5,6,7}:{(15,1),(16,1),(41,1),(80,1),(183,1)}
        27:{2,5,6,7}:{(16,1),(17,1),(180,1)}
        28:{2,3,6,7}:{(17,1),(18,1),(38,1),(155,1)}
        29:{2,3,4,7}:{(18,1),(19,1),(39,1)}
        30:{2,3,4,5}:{(19,1),(40,1),(112,1)}
        31:{1,2,3,5,6}:{(22,1),(46,1),(47,1),(86,1),(92,1),(141,1),(142,1)}
        32:{2,3,4,6,7}:{(20,1),(49,1),(50,1),(63,1),(132,1),(167,1)}
        33:{1,3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(89,1),(172,1),(175,1)}
        34:{2,4,5,6}:{(21,1),(51,1),(52,1),(56,1),(104,1)}
        35:{2,3,5,7}:{(22,1),(24,1),(54,1),(55,1),(103,1)}
        36:{2,4,6}:{(22,1),(25,1),(55,1),(56,1)}
        37:{1,2,5,6,7}:{(23,1),(27,1),(57,1),(103,1),(142,1)}
        38:{1,3,6,7}:{(23,1),(24,1),(28,1),(54,1),(141,1)}
        39:{1,3,4,7}:{(24,1),(25,1),(29,1),(55,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(56,1),(92,1)}
        41:{2,4,5,6,7}:{(26,1),(27,1),(60,1),(61,1),(186,1)}
        42:{2,3,5,6,7}:{(27,1),(28,1),(57,1),(60,1),(61,1),(62,1),(171,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(58,1),(61,1),(62,1),(63,1)}
        44:{2,3,4,5,7}:{(29,1),(30,1),(59,1),(62,1),(63,1),(136,1),(170,1)}
        45:{1,2,4,5,6}:{(34,1),(64,1),(65,1),(69,1),(110,1),(120,1),(180,1),(183,1)}
        46:{1,2,3,5,7}:{(31,1),(35,1),(67,1),(68,1),(109,1),(118,1),(119,1)}
        47:{1,2,4,6}:{(31,1),(36,1),(66,1),(68,1),(69,1),(110,1)}
        48:{3,4,5,6,7}:{(70,1),(131,1),(178,1)}
        49:{2,3,5,6,7}:{(32,1),(70,1),(71,1),(85,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(71,1),(72,1),(82,1),(114,1),(156,1),(161,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{2,3,5,6}:{(34,1),(65,1),(73,1),(74,1),(76,1),(126,1)}
        53:{2,3,4,6}:{(36,1),(66,1),(75,1),(76,1),(126,1)}
        54:{2,3,6,7}:{(35,1),(38,1),(78,1),(126,1)}
        55:{2,4,7}:{(35,1),(36,1),(39,1)}
        56:{2,4,5}:{(36,1),(40,1),(76,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(42,1),(77,1),(80,1),(81,1),(160,1)}
        58:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(78,1),(80,1),(81,1),(82,1),(127,1)}
        59:{1,3,4,5,7}:{(39,1),(40,1),(44,1),(79,1),(81,1),(82,1),(118,1),(159,1),(164,1)}
        60:{3,5,6,7}:{(41,1),(83,1),(188,1)}
        61:{2,4,6,7}:{(42,1),(80,1),(83,1),(84,1),(182,1)}
        62:{2,3,5,7}:{(43,1),(81,1),(84,1),(85,1)}
        63:{2,3,4,6}:{(44,1),(82,1),(85,1),(155,1),(182,1)}
        64:{1,2,4,5,7}:{(45,1),(51,1),(88,1),(89,1),(133,1),(168,1),(172,1)}
        65:{1,3,5,6}:{(45,1),(52,1),(86,1),(89,1),(90,1),(92,1),(141,1)}
        66:{1,3,4,6}:{(47,1),(53,1),(87,1),(91,1),(92,1),(141,1)}
        67:{1,2,3,6,7}:{(46,1),(54,1),(93,1),(132,1),(141,1)}
        68:{1,2,4,7}:{(46,1),(47,1),(55,1),(91,1),(133,1)}
        69:{1,2,4,5}:{(47,1),(56,1),(92,1),(134,1)}
        70:{2,4,5,6,7}:{(48,1),(49,1),(95,1),(108,1),(167,1)}
        71:{1,3,5,6,7}:{(49,1),(50,1),(95,1),(96,1),(106,1),(143,1)}
        72:{2,4,6,7}:{(50,1),(51,1),(96,1),(97,1),(104,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(89,1),(97,1),(98,1)}
        74:{2,3,4,6}:{(52,1),(90,1),(98,1),(99,1)}
        75:{2,3,4,7}:{(53,1),(55,1),(91,1),(101,1)}
        76:{2,3,5}:{(53,1),(56,1),(92,1)}
        77:{2,3,5,6,7}:{(54,1),(57,1),(102,1),(103,1),(148,1),(149,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(58,1),(103,1),(104,1)}
        79:{2,4,5,7}:{(55,1),(56,1),(59,1),(101,1),(103,1),(104,1)}
        80:{1,4,6,7}:{(57,1),(61,1),(102,1),(105,1),(174,1)}
        81:{1,3,5,7}:{(58,1),(62,1),(103,1),(105,1),(106,1),(149,1)}
        82:{1,3,4,6}:{(59,1),(63,1),(104,1),(106,1),(141,1),(174,1),(177,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(107,1),(187,1)}
        84:{2,4,5,7}:{(61,1),(62,1),(105,1),(107,1),(108,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(106,1),(108,1)}
        86:{2,3,5,6}:{(65,1),(109,1),(110,1),(112,1),(155,1),(180,1)}
        87:{2,3,4,6}:{(66,1),(110,1),(111,1),(112,1),(155,1)}
        88:{1,2,4,6,7}:{(64,1),(72,1),(113,1),(114,1),(120,1),(152,1),(156,1)}
        89:{1,3,5,7}:{(64,1),(65,1),(73,1),(109,1),(114,1),(115,1)}
        90:{1,3,4,6}:{(65,1),(74,1),(110,1),(115,1),(116,1)}
        91:{1,3,4,7}:{(66,1),(68,1),(75,1),(111,1),(118,1)}
        92:{1,3,5}:{(66,1),(69,1),(76,1),(112,1)}
        93:{1,2,4,6,7}:{(67,1),(68,1),(78,1),(117,1),(119,1),(120,1),(152,1)}
        94:{1,2,4,5,7}:{(68,1),(69,1),(79,1),(118,1),(119,1),(120,1),(153,1),(159,1)}
        95:{1,4,5,6,7}:{(70,1),(71,1),(121,1),(130,1),(156,1)}
        96:{2,5,6,7}:{(71,1),(72,1),(129,1)}
        97:{2,3,6,7}:{(72,1),(73,1),(114,1),(126,1)}
        98:{2,3,4,7}:{(73,1),(74,1),(115,1)}
        99:{2,3,4,5}:{(74,1),(76,1),(116,1)}
       100:{2,3,4,6,7}:{(75,1),(78,1),(117,1),(125,1),(126,1),(127,1),(165,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(79,1),(118,1),(126,1)}
       102:{2,4,6,7}:{(77,1),(80,1),(127,1),(128,1),(165,1)}
       103:{2,5,7}:{(78,1),(81,1),(129,1)}
       104:{2,4,6}:{(79,1),(82,1),(126,1),(129,1)}
       105:{1,4,5,7}:{(80,1),(81,1),(84,1),(128,1),(130,1)}
       106:{1,3,5,6}:{(81,1),(82,1),(85,1),(129,1),(130,1),(166,1)}
       107:{3,4,5,7}:{(83,1),(84,1),(131,1)}
       108:{2,4,5,6}:{(84,1),(85,1),(130,1),(131,1),(182,1)}
       109:{2,3,5,7}:{(86,1),(89,1),(132,1),(133,1),(168,1)}
       110:{2,4,6}:{(86,1),(90,1),(133,1),(134,1)}
       111:{2,3,4,7}:{(87,1),(91,1),(133,1),(136,1)}
       112:{2,3,5}:{(87,1),(92,1),(134,1)}
       113:{1,2,5,6,7}:{(88,1),(96,1),(137,1),(142,1),(168,1)}
       114:{1,3,6,7}:{(88,1),(89,1),(97,1),(132,1),(141,1)}
       115:{1,3,4,7}:{(89,1),(90,1),(98,1),(133,1)}
       116:{1,3,4,5}:{(90,1),(92,1),(99,1),(134,1)}
       117:{1,3,4,6,7}:{(91,1),(93,1),(100,1),(135,1),(140,1),(141,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(101,1),(136,1),(141,1)}
       119:{1,2,5,7}:{(93,1),(103,1),(140,1),(142,1),(168,1)}
       120:{1,2,4,6}:{(94,1),(104,1),(141,1),(142,1),(169,1),(174,1)}
       121:{2,4,5,6,7}:{(95,1),(96,1),(143,1),(144,1),(150,1)}
       122:{2,3,5,6,7}:{(96,1),(97,1),(137,1),(143,1),(144,1),(145,1),(148,1)}
       123:{2,3,4,6,7}:{(97,1),(98,1),(138,1),(144,1),(145,1),(146,1)}
       124:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(145,1),(146,1),(147,1)}
       125:{2,3,5,7}:{(100,1),(103,1),(140,1),(147,1),(148,1),(149,1)}
       126:{2,3,6}:{(101,1),(104,1),(141,1)}
       127:{3,4,6,7}:{(102,1),(149,1),(177,1)}
       128:{2,4,5,7}:{(102,1),(103,1),(105,1),(149,1),(150,1)}
       129:{2,5,6}:{(103,1),(104,1),(106,1)}
       130:{1,4,5,6}:{(105,1),(106,1),(108,1),(150,1),(174,1)}
       131:{3,4,5,6}:{(107,1),(108,1),(187,1)}
       132:{2,3,6,7}:{(109,1),(114,1),(152,1),(155,1)}
       133:{2,4,7}:{(109,1),(110,1),(115,1)}
       134:{2,4,5}:{(110,1),(112,1),(116,1)}
       135:{2,3,4,6,7}:{(111,1),(117,1),(152,1),(154,1),(155,1),(178,1),(182,1)}
       136:{2,3,5,7}:{(111,1),(112,1),(118,1),(153,1),(155,1)}
       137:{1,3,5,6,7}:{(113,1),(114,1),(122,1),(151,1),(156,1),(157,1),(160,1)}
       138:{1,3,4,6,7}:{(114,1),(115,1),(123,1),(152,1),(156,1),(157,1),(158,1),(178,1)}
       139:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(124,1),(153,1),(157,1),(158,1),(159,1),(181,1)}
       140:{1,3,5,7}:{(117,1),(119,1),(125,1),(154,1),(159,1),(160,1)}
       141:{1,3,6}:{(118,1),(120,1),(126,1),(155,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(129,1),(160,1),(180,1)}
       143:{3,5,6,7}:{(121,1),(161,1),(166,1)}
       144:{2,4,6,7}:{(122,1),(156,1),(161,1),(162,1),(165,1)}
       145:{2,3,5,7}:{(123,1),(157,1),(162,1),(163,1)}
       146:{2,3,4,6}:{(124,1),(126,1),(158,1),(163,1),(165,1)}
       147:{2,4,5,7}:{(125,1),(159,1),(164,1),(165,1)}
       148:{2,3,5,6}:{(125,1),(126,1),(129,1),(160,1),(165,1),(166,1)}
       149:{3,5,7}:{(127,1),(128,1),(166,1)}
       150:{2,4,5,6}:{(128,1),(129,1),(130,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(132,1),(137,1),(167,1),(168,1),(171,1),(185,1)}
       152:{2,4,6,7}:{(132,1),(133,1),(138,1),(168,1),(169,1)}
       153:{2,4,5,7}:{(133,1),(134,1),(136,1),(139,1),(168,1),(169,1)}
       154:{2,3,5,7}:{(135,1),(140,1),(168,1),(170,1),(171,1),(185,1)}
       155:{2,3,6}:{(136,1),(141,1),(169,1)}
       156:{1,4,6,7}:{(137,1),(144,1),(167,1),(172,1),(174,1)}
       157:{1,3,5,7}:{(138,1),(145,1),(168,1),(172,1),(173,1),(185,1)}
       158:{1,3,4,6}:{(139,1),(141,1),(146,1),(169,1),(173,1),(174,1),(187,1)}
       159:{1,4,5,7}:{(140,1),(147,1),(170,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(142,1),(148,1),(171,1),(174,1)}
       161:{3,4,6,7}:{(143,1),(144,1),(175,1),(177,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(172,1),(175,1),(176,1)}
       163:{2,3,5,6}:{(145,1),(146,1),(173,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(149,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(174,1),(177,1)}
       166:{3,5,6}:{(149,1),(150,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(179,1),(182,1)}
       168:{2,5,7}:{(152,1),(157,1),(180,1)}
       169:{2,4,6}:{(153,1),(155,1),(158,1),(180,1)}
       170:{2,4,5,7}:{(154,1),(159,1),(181,1),(182,1)}
       171:{2,3,5,6}:{(154,1),(155,1),(160,1),(180,1),(182,1),(188,1)}
       172:{1,4,5,7}:{(156,1),(157,1),(162,1),(179,1),(183,1)}
       173:{1,3,5,6}:{(157,1),(158,1),(163,1),(180,1),(183,1),(188,1)}
       174:{1,4,6}:{(159,1),(160,1),(165,1),(182,1)}
       175:{3,4,5,7}:{(161,1),(162,1),(184,1)}
       176:{2,4,5,6}:{(162,1),(163,1),(165,1),(183,1),(184,1)}
       177:{3,4,6}:{(164,1),(165,1),(166,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(187,1)}
       179:{2,4,5,7}:{(167,1),(168,1),(172,1),(185,1),(186,1)}
       180:{2,5,6}:{(168,1),(169,1),(173,1)}
       181:{3,4,5,7}:{(170,1),(185,1),(187,1)}
       182:{2,4,6}:{(170,1),(171,1),(174,1),(187,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(176,1),(186,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(179,1),(188,1)}
       186:{2,4,5,6}:{(179,1),(180,1),(182,1),(183,1),(188,1)}
       187:{3,4,6}:{(181,1),(182,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2705 :   0:{2,3,4,5,6}:{(2,1),(3,1),(27,1),(92,1),(128,1),(133,1)}
         1:{3,4,5,6,7}:{(4,1),(104,1),(176,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(36,1),(105,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(64,1),(101,1),(106,1),(144,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(81,1),(165,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(47,1),(81,1),(133,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(25,1),(46,1),(82,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(118,1),(156,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(152,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(62,1),(173,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(33,1),(34,1),(62,1),(144,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(39,1),(60,1),(100,1),(106,1),(109,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(96,1),(138,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(21,1),(22,1),(161,1)}
        15:{2,4,5,6,7}:{(9,1),(21,1),(22,1),(45,1),(180,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(21,1),(24,1),(156,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(23,1),(25,1),(50,1),(82,1),(86,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(24,1),(25,1),(26,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(79,1),(123,1)}
        20:{2,3,4,6}:{(13,1),(26,1),(28,1),(29,1)}
        21:{2,5,6,7}:{(14,1),(16,1),(171,1)}
        22:{3,5,6,7}:{(15,1),(33,1),(185,1)}
        23:{1,2,4,6,7}:{(16,1),(17,1),(31,1),(34,1),(62,1),(65,1),(100,1)}
        24:{2,3,6,7}:{(16,1),(18,1),(34,1),(138,1)}
        25:{1,3,5,7}:{(17,1),(18,1),(19,1),(34,1),(36,1),(37,1)}
        26:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        27:{2,3,5,6}:{(19,1),(36,1),(39,1),(72,1),(109,1),(112,1)}
        28:{1,3,4,6}:{(19,1),(20,1),(37,1),(39,1),(40,1)}
        29:{2,3,4,5}:{(20,1),(40,1),(96,1)}
        30:{1,2,3,5,6}:{(27,1),(42,1),(43,1),(79,1),(119,1),(121,1),(123,1)}
        31:{1,2,5,6,7}:{(21,1),(23,1),(44,1),(86,1),(121,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(24,1),(44,1),(45,1),(49,1),(155,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(179,1)}
        34:{1,3,6,7}:{(23,1),(24,1),(25,1),(47,1),(123,1)}
        35:{2,3,4,6,7}:{(24,1),(26,1),(45,1),(48,1),(49,1),(52,1)}
        36:{2,3,5,7}:{(25,1),(27,1),(47,1),(50,1),(86,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(28,1),(50,1)}
        38:{2,3,4,5,7}:{(26,1),(29,1),(49,1),(51,1),(52,1),(117,1),(154,1)}
        39:{2,4,6}:{(27,1),(28,1),(50,1),(54,1)}
        40:{1,3,4,5}:{(28,1),(29,1),(54,1),(79,1)}
        41:{2,3,4,5,6}:{(29,1),(52,1),(55,1),(56,1),(119,1),(180,1)}
        42:{1,2,3,5,7}:{(30,1),(36,1),(57,1),(58,1),(98,1),(99,1),(140,1)}
        43:{1,2,4,6}:{(30,1),(39,1),(58,1),(59,1),(60,1),(139,1)}
        44:{1,3,5,6,7}:{(31,1),(32,1),(34,1),(61,1),(62,1),(66,1),(142,1)}
        45:{2,4,6,7}:{(32,1),(33,1),(62,1),(63,1),(169,1)}
        46:{3,4,5,7}:{(33,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(34,1),(36,1),(65,1),(112,1)}
        48:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(62,1),(65,1),(66,1),(70,1),(104,1)}
        49:{2,3,5,7}:{(35,1),(63,1),(66,1),(67,1)}
        50:{2,4,7}:{(36,1),(37,1),(39,1)}
        51:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(66,1),(69,1),(70,1),(99,1),(141,1),(147,1)}
        52:{2,3,4,6}:{(38,1),(67,1),(70,1),(138,1),(169,1)}
        53:{2,3,4,6}:{(39,1),(59,1),(68,1),(72,1),(112,1)}
        54:{2,4,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,5,6}:{(40,1),(41,1),(70,1),(73,1),(74,1),(102,1),(173,1),(176,1)}
        56:{2,3,4,5,7}:{(41,1),(71,1),(74,1),(140,1),(187,1)}
        57:{1,2,3,6,7}:{(42,1),(47,1),(76,1),(123,1),(157,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(50,1),(77,1),(158,1)}
        59:{1,3,4,6}:{(43,1),(53,1),(75,1),(77,1),(79,1),(123,1)}
        60:{1,2,4,5}:{(43,1),(54,1),(79,1),(118,1)}
        61:{2,3,5,6,7}:{(44,1),(47,1),(81,1),(86,1),(127,1),(131,1)}
        62:{1,4,6,7}:{(44,1),(45,1),(81,1),(82,1),(159,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(49,1),(82,1),(83,1)}
        64:{3,4,5,6}:{(46,1),(83,1),(179,1)}
        65:{2,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(90,1)}
        66:{1,3,5,7}:{(48,1),(49,1),(82,1),(86,1),(87,1),(127,1)}
        67:{2,3,5,6}:{(49,1),(52,1),(83,1),(87,1)}
        68:{2,3,4,7}:{(50,1),(53,1),(77,1),(89,1)}
        69:{2,4,5,7}:{(50,1),(51,1),(54,1),(86,1),(89,1),(90,1)}
        70:{1,3,4,6}:{(51,1),(52,1),(87,1),(90,1),(123,1),(159,1),(163,1)}
        71:{2,3,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(157,1),(181,1)}
        72:{2,3,5}:{(53,1),(54,1),(79,1)}
        73:{2,4,5,6}:{(54,1),(55,1),(90,1),(93,1),(94,1)}
        74:{1,3,4,5,7}:{(55,1),(56,1),(91,1),(94,1),(126,1),(183,1),(184,1)}
        75:{2,3,4,6}:{(59,1),(95,1),(96,1),(138,1),(139,1)}
        76:{1,2,4,6,7}:{(57,1),(58,1),(65,1),(97,1),(98,1),(100,1),(172,1)}
        77:{1,3,4,7}:{(58,1),(59,1),(68,1),(95,1),(99,1)}
        78:{1,2,4,5,7}:{(58,1),(60,1),(69,1),(98,1),(99,1),(100,1),(137,1),(141,1)}
        79:{1,3,5}:{(59,1),(60,1),(72,1),(96,1)}
        80:{1,2,4,5,6}:{(60,1),(73,1),(100,1),(102,1),(103,1),(139,1),(171,1),(173,1)}
        81:{2,4,6,7}:{(61,1),(62,1),(104,1),(105,1),(150,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(105,1),(106,1)}
        83:{2,4,5,6}:{(63,1),(64,1),(67,1),(106,1),(169,1)}
        84:{3,4,5,6,7}:{(64,1),(107,1),(186,1)}
        85:{2,3,4,6,7}:{(65,1),(68,1),(97,1),(104,1),(108,1),(112,1),(150,1)}
        86:{2,5,7}:{(65,1),(66,1),(109,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(70,1),(106,1),(109,1),(148,1)}
        88:{2,3,5,6,7}:{(67,1),(71,1),(107,1),(110,1)}
        89:{2,3,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1)}
        90:{2,4,6}:{(69,1),(70,1),(109,1),(112,1)}
        91:{1,3,4,6,7}:{(70,1),(71,1),(74,1),(110,1),(113,1),(145,1),(174,1),(177,1)}
        92:{2,3,4,5}:{(72,1),(101,1),(114,1)}
        93:{2,3,5,6}:{(72,1),(73,1),(102,1),(112,1),(114,1),(115,1)}
        94:{2,4,5,7}:{(73,1),(74,1),(113,1),(115,1)}
        95:{2,3,4,7}:{(75,1),(77,1),(117,1),(158,1)}
        96:{2,3,5}:{(75,1),(79,1),(118,1)}
        97:{1,3,4,6,7}:{(76,1),(77,1),(85,1),(116,1),(120,1),(123,1),(159,1)}
        98:{1,2,5,7}:{(76,1),(86,1),(120,1),(121,1),(182,1)}
        99:{1,3,5,7}:{(77,1),(78,1),(79,1),(89,1),(117,1),(123,1)}
       100:{1,2,4,6}:{(78,1),(90,1),(121,1),(123,1),(156,1),(159,1)}
       101:{1,3,4,5}:{(79,1),(92,1),(118,1),(125,1)}
       102:{1,3,5,6}:{(79,1),(80,1),(93,1),(119,1),(123,1),(125,1),(126,1)}
       103:{1,2,4,5,7}:{(80,1),(94,1),(124,1),(126,1),(158,1),(182,1),(183,1)}
       104:{3,4,6,7}:{(81,1),(127,1),(163,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(86,1),(127,1),(128,1)}
       106:{1,4,5,6}:{(82,1),(83,1),(87,1),(128,1),(159,1)}
       107:{2,4,5,6,7}:{(83,1),(84,1),(88,1),(129,1),(181,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(120,1),(127,1),(130,1),(131,1)}
       109:{2,5,6}:{(86,1),(87,1),(90,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(91,1),(129,1),(132,1),(164,1)}
       111:{2,3,4,5,7}:{(89,1),(92,1),(122,1),(130,1),(133,1),(135,1),(167,1)}
       112:{2,3,6}:{(89,1),(90,1),(123,1)}
       113:{2,4,6,7}:{(90,1),(91,1),(94,1),(132,1),(134,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(125,1),(135,1)}
       115:{2,3,5,7}:{(93,1),(94,1),(126,1),(134,1),(135,1)}
       116:{2,3,4,6,7}:{(95,1),(97,1),(136,1),(138,1),(169,1),(172,1),(186,1)}
       117:{2,3,5,7}:{(95,1),(96,1),(99,1),(137,1),(138,1)}
       118:{2,4,5}:{(96,1),(101,1),(139,1)}
       119:{2,3,5,6}:{(96,1),(102,1),(138,1),(139,1),(140,1),(171,1)}
       120:{1,3,5,7}:{(97,1),(98,1),(108,1),(136,1),(141,1),(142,1)}
       121:{1,2,5,6}:{(98,1),(100,1),(109,1),(142,1),(171,1)}
       122:{1,3,4,5,7}:{(99,1),(101,1),(111,1),(137,1),(141,1),(144,1),(146,1),(168,1),(175,1)}
       123:{1,3,6}:{(99,1),(100,1),(112,1),(138,1)}
       124:{1,2,4,6,7}:{(100,1),(103,1),(113,1),(143,1),(145,1),(172,1),(174,1)}
       125:{1,3,4,6}:{(101,1),(102,1),(114,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(102,1),(103,1),(115,1),(140,1),(145,1),(146,1)}
       127:{3,5,7}:{(104,1),(105,1),(148,1)}
       128:{2,4,5,6}:{(105,1),(106,1),(109,1),(148,1),(150,1)}
       129:{1,4,5,6,7}:{(106,1),(107,1),(110,1),(149,1),(174,1)}
       130:{2,4,5,7}:{(108,1),(141,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(142,1),(148,1),(150,1)}
       132:{2,5,6,7}:{(109,1),(110,1),(113,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(150,1),(152,1)}
       134:{2,3,6,7}:{(112,1),(113,1),(115,1),(145,1)}
       135:{2,3,4,7}:{(114,1),(115,1),(146,1)}
       136:{2,3,5,7}:{(116,1),(120,1),(154,1),(155,1),(182,1),(188,1)}
       137:{2,4,5,7}:{(117,1),(118,1),(122,1),(156,1),(158,1),(182,1)}
       138:{2,3,6}:{(117,1),(123,1),(156,1)}
       139:{2,4,6}:{(118,1),(119,1),(125,1),(158,1)}
       140:{2,3,5,7}:{(119,1),(126,1),(157,1),(158,1),(182,1)}
       141:{1,4,5,7}:{(120,1),(130,1),(154,1),(159,1)}
       142:{1,3,5,6}:{(120,1),(121,1),(123,1),(131,1),(155,1),(159,1)}
       143:{1,2,5,6,7}:{(121,1),(124,1),(132,1),(160,1),(182,1)}
       144:{1,3,4,6}:{(122,1),(123,1),(133,1),(156,1),(159,1),(161,1),(179,1)}
       145:{1,3,6,7}:{(123,1),(124,1),(126,1),(134,1),(157,1)}
       146:{1,3,4,7}:{(125,1),(126,1),(135,1),(158,1)}
       147:{3,4,5,7}:{(127,1),(130,1),(163,1)}
       148:{3,5,6}:{(127,1),(128,1),(163,1)}
       149:{2,4,5,6,7}:{(128,1),(129,1),(132,1),(164,1),(166,1)}
       150:{2,4,6}:{(130,1),(131,1),(159,1),(163,1)}
       151:{2,3,5,6,7}:{(131,1),(132,1),(134,1),(160,1),(164,1),(166,1),(167,1)}
       152:{2,3,5,6}:{(133,1),(161,1),(165,1),(167,1)}
       153:{2,3,4,6,7}:{(133,1),(134,1),(135,1),(162,1),(166,1),(167,1)}
       154:{2,4,5,7}:{(136,1),(141,1),(168,1),(169,1)}
       155:{2,3,5,6}:{(136,1),(138,1),(142,1),(169,1),(171,1),(185,1)}
       156:{2,4,6}:{(137,1),(138,1),(144,1),(171,1)}
       157:{2,3,6,7}:{(138,1),(140,1),(145,1),(172,1)}
       158:{2,4,7}:{(139,1),(140,1),(146,1)}
       159:{1,4,6}:{(141,1),(142,1),(150,1),(169,1)}
       160:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(151,1),(170,1),(174,1),(175,1)}
       161:{1,3,5,6}:{(144,1),(152,1),(171,1),(173,1),(175,1),(185,1)}
       162:{1,3,4,6,7}:{(144,1),(145,1),(146,1),(153,1),(172,1),(174,1),(175,1),(186,1)}
       163:{3,4,6}:{(147,1),(148,1),(150,1)}
       164:{3,5,6,7}:{(148,1),(149,1),(177,1)}
       165:{2,4,5,6}:{(150,1),(152,1),(173,1),(176,1),(178,1)}
       166:{2,4,6,7}:{(150,1),(151,1),(174,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(152,1),(153,1),(175,1),(178,1)}
       168:{3,4,5,7}:{(154,1),(179,1),(188,1)}
       169:{2,4,6}:{(154,1),(155,1),(159,1),(179,1)}
       170:{2,3,5,6,7}:{(155,1),(157,1),(160,1),(181,1),(182,1),(188,1)}
       171:{2,5,6}:{(156,1),(161,1),(182,1)}
       172:{2,4,6,7}:{(156,1),(157,1),(158,1),(162,1),(182,1)}
       173:{1,4,5,6}:{(159,1),(161,1),(165,1),(180,1),(183,1)}
       174:{1,4,6,7}:{(159,1),(160,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,7}:{(161,1),(162,1),(167,1),(182,1),(183,1),(188,1)}
       176:{3,4,5,6}:{(163,1),(165,1),(184,1)}
       177:{3,4,6,7}:{(163,1),(164,1),(166,1),(184,1)}
       178:{2,4,5,7}:{(165,1),(166,1),(167,1),(183,1),(184,1)}
       179:{3,4,6}:{(168,1),(169,1),(185,1)}
       180:{2,4,5,6}:{(169,1),(171,1),(173,1),(185,1),(187,1)}
       181:{2,4,6,7}:{(169,1),(170,1),(174,1),(186,1),(187,1)}
       182:{2,5,7}:{(171,1),(172,1),(175,1)}
       183:{1,4,5,7}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,5,7}:{(176,1),(177,1),(178,1)}
       185:{3,5,6}:{(179,1),(180,1),(188,1)}
       186:{3,4,6,7}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,7}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2706 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(138,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(156,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(43,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(114,1),(153,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(138,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(168,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(131,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(153,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(75,1),(105,1),(113,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(111,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(58,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(94,1),(134,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(113,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(43,1),(44,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(44,1)}
        33:{2,3,5,6}:{(24,1),(43,1),(46,1),(80,1),(105,1),(118,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(44,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(111,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(134,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(60,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{1,2,3,5,6}:{(33,1),(56,1),(57,1),(94,1),(124,1),(132,1),(134,1)}
        43:{2,3,5,7}:{(31,1),(33,1),(49,1),(58,1),(85,1)}
        44:{1,3,4,7}:{(31,1),(32,1),(34,1),(58,1)}
        45:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(59,1),(60,1),(130,1),(158,1)}
        46:{2,4,6}:{(33,1),(34,1),(58,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(94,1)}
        48:{2,3,4,5,6}:{(35,1),(60,1),(63,1),(64,1),(132,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(43,1),(66,1),(118,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(44,1),(66,1),(67,1),(69,1),(78,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(43,1),(65,1),(73,1),(103,1),(112,1),(152,1)}
        57:{1,2,4,6}:{(42,1),(46,1),(73,1),(74,1),(75,1),(151,1)}
        58:{2,4,7}:{(43,1),(44,1),(46,1)}
        59:{1,3,4,5,7}:{(44,1),(45,1),(47,1),(67,1),(77,1),(78,1),(107,1),(112,1),(142,1)}
        60:{2,3,4,6}:{(45,1),(68,1),(78,1),(150,1),(172,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(76,1),(80,1),(118,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(78,1),(81,1),(82,1),(115,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(79,1),(82,1),(152,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(134,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(58,1),(85,1),(97,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(60,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(58,1),(92,1),(167,1)}
        74:{1,3,4,6}:{(57,1),(61,1),(91,1),(92,1),(94,1),(134,1)}
        75:{1,2,4,5}:{(57,1),(62,1),(94,1),(131,1)}
        76:{2,3,4,7}:{(58,1),(61,1),(92,1),(96,1)}
        77:{2,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(96,1),(97,1)}
        78:{1,3,4,6}:{(59,1),(60,1),(86,1),(97,1),(128,1),(134,1),(160,1)}
        79:{2,3,4,6,7}:{(60,1),(64,1),(87,1),(98,1),(166,1),(182,1)}
        80:{2,3,5}:{(61,1),(62,1),(94,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(97,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(98,1),(101,1),(137,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(113,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(76,1),(102,1),(104,1),(118,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(78,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(79,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{2,3,4,6}:{(74,1),(110,1),(111,1),(150,1),(151,1)}
        92:{1,3,4,7}:{(73,1),(74,1),(76,1),(110,1),(112,1)}
        93:{1,2,4,5,7}:{(73,1),(75,1),(77,1),(103,1),(112,1),(113,1),(142,1),(149,1)}
        94:{1,3,5}:{(74,1),(75,1),(80,1),(111,1)}
        95:{1,2,4,5,6}:{(75,1),(81,1),(113,1),(115,1),(116,1),(151,1),(174,1),(177,1)}
        96:{2,3,5,7}:{(76,1),(77,1),(80,1),(112,1),(118,1)}
        97:{2,4,6}:{(77,1),(78,1),(105,1),(118,1)}
        98:{1,3,4,6,7}:{(78,1),(79,1),(82,1),(106,1),(119,1),(148,1),(154,1),(175,1)}
        99:{2,3,4,5}:{(80,1),(114,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(115,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(119,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(92,1),(122,1),(123,1),(134,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(97,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(98,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(92,1),(130,1),(167,1)}
       111:{2,3,5}:{(91,1),(94,1),(131,1)}
       112:{1,3,5,7}:{(92,1),(93,1),(94,1),(96,1),(130,1),(134,1)}
       113:{1,2,4,6}:{(93,1),(97,1),(124,1),(134,1),(160,1),(165,1)}
       114:{1,3,4,5}:{(94,1),(99,1),(131,1),(136,1)}
       115:{1,3,5,6}:{(94,1),(95,1),(100,1),(132,1),(134,1),(136,1),(137,1)}
       116:{1,2,4,5,7}:{(95,1),(101,1),(135,1),(137,1),(167,1),(183,1),(184,1)}
       117:{2,3,4,5,7}:{(96,1),(99,1),(125,1),(133,1),(138,1),(140,1),(170,1)}
       118:{2,3,6}:{(96,1),(97,1),(134,1)}
       119:{2,4,6,7}:{(97,1),(98,1),(101,1),(127,1),(139,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(136,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(137,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(113,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(118,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(119,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(112,1),(149,1),(150,1)}
       131:{2,4,5}:{(111,1),(114,1),(151,1)}
       132:{2,3,5,6}:{(111,1),(115,1),(150,1),(151,1),(152,1),(177,1)}
       133:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(149,1),(153,1),(155,1),(171,1),(179,1)}
       134:{1,3,6}:{(112,1),(113,1),(118,1),(150,1)}
       135:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(154,1),(175,1),(178,1)}
       136:{1,3,4,6}:{(114,1),(115,1),(120,1),(151,1),(155,1)}
       137:{1,3,5,7}:{(115,1),(116,1),(121,1),(152,1),(154,1),(155,1)}
       138:{2,3,4,6}:{(117,1),(118,1),(145,1),(153,1),(156,1)}
       139:{2,3,6,7}:{(118,1),(119,1),(121,1),(154,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(155,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(134,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(135,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(139,1),(161,1),(163,1),(170,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(133,1),(165,1),(167,1),(184,1)}
       150:{2,3,6}:{(130,1),(134,1),(165,1)}
       151:{2,4,6}:{(131,1),(132,1),(136,1),(167,1)}
       152:{2,3,5,7}:{(132,1),(137,1),(166,1),(167,1),(184,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(138,1),(160,1),(165,1),(168,1),(180,1)}
       154:{1,3,6,7}:{(134,1),(135,1),(137,1),(139,1),(166,1)}
       155:{1,3,4,7}:{(136,1),(137,1),(140,1),(167,1)}
       156:{2,3,5,6}:{(138,1),(162,1),(168,1),(170,1)}
       157:{2,3,4,6,7}:{(138,1),(139,1),(140,1),(163,1),(169,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(154,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(156,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(153,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(154,1),(178,1)}
       167:{2,4,7}:{(151,1),(152,1),(155,1)}
       168:{1,3,5,6}:{(153,1),(156,1),(174,1),(177,1),(179,1),(185,1)}
       169:{1,3,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       170:{2,3,5,7}:{(156,1),(157,1),(176,1),(179,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(168,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(170,1),(183,1)}
       177:{2,5,6}:{(165,1),(168,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(167,1),(169,1),(184,1)}
       179:{1,3,5,7}:{(168,1),(169,1),(170,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2707 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2708 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(119,1),(123,1),(124,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(135,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(124,1),(125,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(42,1),(124,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(99,1),(100,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(106,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(86,1),(87,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(42,1),(93,1),(99,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(31,1),(34,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(34,1),(35,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(54,1),(80,1),(86,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(26,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,3,4,5,6}:{(25,1),(44,1),(45,1),(71,1),(139,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(26,1),(42,1),(46,1)}
        35:{1,4,5,6}:{(25,1),(27,1),(46,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(34,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(36,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(34,1),(53,1),(56,1),(84,1),(129,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(56,1),(57,1),(59,1),(83,1),(144,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(36,1),(54,1)}
        47:{1,2,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(59,1),(61,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(59,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(80,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(46,1)}
        55:{1,2,5,6,7}:{(43,1),(48,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(66,1),(70,1),(72,1),(97,1),(138,1)}
        57:{2,4,5,6}:{(45,1),(70,1),(71,1)}
        58:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(67,1),(70,1),(72,1),(74,1)}
        59:{1,3,5,6}:{(47,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(72,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(94,1),(102,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(60,1),(80,1),(81,1),(89,1),(104,1),(108,1)}
        69:{1,2,4,5,6}:{(57,1),(82,1),(83,1),(111,1),(144,1),(145,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(79,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(59,1),(83,1),(84,1),(85,1)}
        72:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(86,1)}
        73:{1,3,4,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(86,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(87,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(108,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(70,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(72,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(74,1),(94,1),(95,1),(102,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(92,1),(97,1),(124,1),(138,1),(140,1)}
        83:{1,3,5,6}:{(69,1),(71,1),(97,1),(98,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(72,1),(93,1),(97,1),(99,1)}
        85:{2,3,4,6}:{(71,1),(73,1),(98,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(74,1),(99,1)}
        87:{1,3,4,5}:{(73,1),(75,1),(100,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(102,1)}
        89:{1,2,3,5,6}:{(76,1),(102,1),(122,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(84,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(107,1),(108,1),(115,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,2,3,5,6}:{(83,1),(110,1),(111,1),(135,1),(145,1),(146,1)}
        97:{1,3,5,7}:{(82,1),(83,1),(84,1),(106,1),(112,1)}
        98:{1,3,4,6}:{(83,1),(85,1),(111,1),(112,1),(113,1)}
        99:{2,3,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       100:{2,3,4,5}:{(85,1),(87,1),(113,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(108,1),(114,1),(115,1)}
       102:{1,2,4,6}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(97,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(99,1),(117,1),(120,1),(121,1),(127,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(102,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(119,1),(124,1),(140,1)}
       111:{1,2,4,6}:{(96,1),(98,1),(124,1),(125,1)}
       112:{1,3,4,7}:{(97,1),(98,1),(99,1),(124,1)}
       113:{1,3,4,5}:{(98,1),(100,1),(125,1)}
       114:{2,3,4,5,7}:{(99,1),(100,1),(101,1),(121,1),(126,1),(127,1)}
       115:{1,3,4,6}:{(101,1),(102,1),(122,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(112,1),(128,1),(131,1),(132,1),(137,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(115,1),(133,1)}
       123:{1,2,3,4,6}:{(111,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,7}:{(110,1),(111,1),(112,1)}
       125:{1,2,4,5}:{(111,1),(113,1),(135,1)}
       126:{1,3,4,5,7}:{(112,1),(113,1),(114,1),(132,1),(136,1),(137,1)}
       127:{2,3,4,6}:{(114,1),(115,1),(133,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(127,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(124,1),(142,1)}
       135:{1,2,3,5}:{(123,1),(125,1)}
       136:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(127,1),(141,1),(143,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(137,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(146,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2709 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(126,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(137,1),(152,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(24,1),(28,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1),(44,1),(127,1),(147,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(40,1),(44,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(26,1),(60,1),(114,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(23,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(24,1),(27,1),(28,1),(45,1),(59,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(28,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(29,1),(58,1),(152,1)}
        19:{1,2,3,4,7}:{(11,1),(32,1),(33,1),(103,1)}
        20:{1,2,3,5}:{(11,1),(31,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(38,1),(39,1),(76,1),(101,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(37,1),(39,1)}
        24:{1,3,5,6}:{(14,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(16,1),(38,1),(41,1)}
        26:{1,3,4,7}:{(14,1),(17,1),(39,1),(40,1)}
        27:{1,2,4,5,7}:{(15,1),(17,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,5,6}:{(16,1),(41,1),(44,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(42,1),(44,1),(147,1),(153,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(59,1),(92,1)}
        31:{1,2,4,5}:{(20,1),(21,1),(48,1)}
        32:{1,2,3,4,6}:{(19,1),(49,1),(50,1),(86,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,6}:{(20,1),(48,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(47,1),(53,1),(54,1),(85,1),(90,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(48,1),(52,1),(54,1)}
        37:{2,3,5,6}:{(23,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,6}:{(22,1),(25,1),(53,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(55,1)}
        40:{1,3,5,7}:{(24,1),(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,6}:{(25,1),(28,1),(56,1),(59,1),(60,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(29,1),(57,1),(58,1),(60,1),(94,1),(139,1),(150,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(60,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,5,7}:{(31,1),(33,1),(35,1),(66,1),(67,1),(68,1),(100,1),(103,1)}
        48:{1,2,4,6}:{(31,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,2,3,5}:{(32,1),(68,1)}
        50:{1,2,3,6}:{(33,1),(66,1)}
        51:{1,2,3,7}:{(34,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,6}:{(35,1),(38,1),(66,1),(72,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(67,1),(71,1)}
        55:{2,3,5,7}:{(37,1),(39,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(74,1),(76,1),(107,1),(129,1),(143,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,4,5,6}:{(41,1),(75,1),(78,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(48,1),(52,1),(82,1)}
        66:{1,2,4,6}:{(47,1),(50,1),(53,1),(83,1)}
        67:{1,2,4,7}:{(48,1),(51,1),(54,1),(82,1)}
        68:{1,2,4,5}:{(49,1),(85,1),(86,1)}
        69:{1,2,3,5,6}:{(49,1),(50,1),(83,1),(86,1),(87,1),(112,1)}
        70:{1,2,3,6,7}:{(50,1),(51,1),(84,1),(87,1),(134,1)}
        71:{1,3,5,7}:{(52,1),(54,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,5,6}:{(53,1),(56,1),(83,1),(89,1),(90,1)}
        73:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(84,1),(88,1),(90,1),(116,1),(117,1),(134,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,4,5,6}:{(56,1),(59,1),(89,1),(92,1),(93,1)}
        76:{2,3,5,7}:{(56,1),(57,1),(60,1),(90,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(60,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(93,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(67,1),(71,1),(98,1)}
        83:{1,2,5,6}:{(66,1),(72,1),(100,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(73,1),(98,1),(100,1),(103,1)}
        85:{1,3,4,5}:{(68,1),(101,1),(102,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(102,1),(103,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(100,1),(103,1),(125,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,4,5,6}:{(72,1),(75,1),(106,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(76,1),(100,1),(106,1)}
        91:{2,3,5,6,7}:{(74,1),(76,1),(77,1),(96,1),(104,1),(107,1),(122,1),(142,1),(143,1)}
        92:{3,4,5,6}:{(75,1),(108,1)}
        93:{2,4,5,7}:{(75,1),(76,1),(78,1),(106,1),(107,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,4,5,6}:{(83,1),(86,1),(89,1),(112,1),(113,1),(118,1)}
       100:{1,2,5,7}:{(83,1),(84,1),(90,1)}
       101:{2,3,4,5}:{(85,1),(114,1),(115,1)}
       102:{1,3,4,6}:{(85,1),(86,1),(112,1),(115,1),(116,1)}
       103:{1,2,4,7}:{(86,1),(87,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(90,1),(91,1),(109,1),(111,1),(117,1),(134,1)}
       105:{1,3,4,5,6}:{(89,1),(92,1),(112,1),(118,1),(119,1)}
       106:{1,4,5,7}:{(89,1),(90,1),(93,1),(117,1)}
       107:{2,4,6,7}:{(91,1),(93,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(142,1)}
       111:{1,2,5,6,7}:{(98,1),(100,1),(104,1),(123,1),(142,1)}
       112:{1,3,5,6}:{(99,1),(102,1),(124,1),(125,1)}
       113:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(106,1),(123,1),(125,1),(132,1)}
       114:{1,3,4,5}:{(101,1),(127,1),(128,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(124,1),(128,1),(129,1)}
       116:{1,3,4,7}:{(102,1),(103,1),(125,1),(129,1)}
       117:{1,4,6,7}:{(104,1),(106,1),(107,1)}
       118:{2,4,5,6}:{(105,1),(124,1),(131,1),(132,1)}
       119:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(125,1),(130,1),(132,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(133,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(113,1),(117,1),(134,1),(140,1)}
       124:{2,3,5,6}:{(112,1),(115,1),(118,1),(135,1),(136,1)}
       125:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(136,1)}
       126:{1,2,3,4}:{(137,1)}
       127:{1,2,4,5}:{(114,1),(137,1),(138,1)}
       128:{1,3,4,6}:{(114,1),(115,1),(135,1),(138,1),(139,1)}
       129:{2,3,4,7}:{(115,1),(116,1),(136,1),(139,1)}
       130:{1,3,4,6,7}:{(117,1),(119,1),(120,1),(133,1),(134,1),(140,1)}
       131:{1,4,5,6}:{(118,1),(135,1),(141,1)}
       132:{2,4,5,7}:{(118,1),(119,1),(136,1),(140,1),(141,1)}
       133:{1,3,5,6,7}:{(121,1),(122,1),(130,1),(142,1)}
       134:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       135:{1,3,5,6}:{(124,1),(128,1),(131,1),(144,1),(145,1)}
       136:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(143,1),(145,1)}
       137:{1,2,3,5}:{(126,1),(127,1),(146,1)}
       138:{1,2,4,6}:{(127,1),(128,1),(144,1),(146,1),(147,1)}
       139:{1,3,4,7}:{(128,1),(129,1),(145,1),(147,1)}
       140:{2,4,6,7}:{(130,1),(132,1),(142,1),(143,1),(148,1)}
       141:{1,4,5,7}:{(131,1),(132,1),(145,1),(148,1)}
       142:{2,5,6,7}:{(133,1),(140,1),(149,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(140,1),(150,1)}
       144:{1,2,5,6}:{(135,1),(138,1),(151,1)}
       145:{1,3,5,7}:{(135,1),(136,1),(139,1),(141,1),(150,1),(151,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,4,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(140,1),(141,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(142,1),(148,1)}
       150:{1,3,6,7}:{(143,1),(145,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(144,1),(145,1),(147,1),(153,1)}
       152:{1,2,3,7}:{(146,1),(147,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2710 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(68,1),(92,1)}
        3:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(9,1),(26,1),(29,1),(54,1),(83,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,3,6}:{(2,1),(8,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(27,1),(31,1),(56,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(17,1),(35,1),(39,1),(41,1),(70,1)}
        8:{1,2,4,6}:{(3,1),(5,1),(14,1),(15,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(37,1)}
       11:{1,2,3,6,7}:{(5,1),(16,1),(19,1),(65,1),(92,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(27,1),(46,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(23,1)}
       15:{1,2,5,6}:{(8,1),(23,1),(26,1)}
       16:{1,2,4,6,7}:{(8,1),(11,1),(24,1),(26,1),(29,1),(83,1),(96,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(28,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
       19:{1,2,3,5,7}:{(10,1),(11,1),(26,1),(29,1),(52,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(30,1),(31,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(31,1),(56,1),(57,1),(79,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(32,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(20,1),(32,1),(34,1),(35,1)}
       24:{1,3,4,6,7}:{(14,1),(16,1),(21,1),(33,1),(35,1),(41,1),(62,1),(65,1),(70,1),(90,1)}
       25:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(37,1),(38,1),(63,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(35,1)}
       27:{2,3,4,5}:{(17,1),(39,1),(40,1)}
       28:{1,3,4,6}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
       29:{1,2,4,7}:{(18,1),(19,1),(41,1)}
       30:{2,4,5,6}:{(20,1),(34,1),(43,1),(44,1)}
       31:{2,3,5,7}:{(20,1),(21,1),(35,1),(44,1)}
       32:{2,3,5,6}:{(22,1),(23,1),(45,1),(46,1)}
       33:{2,3,4,6,7}:{(22,1),(24,1),(46,1),(56,1),(73,1),(79,1)}
       34:{1,4,5,6}:{(23,1),(30,1),(45,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(31,1),(46,1),(49,1)}
       36:{1,2,5,6,7}:{(26,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,3,5,6}:{(25,1),(28,1),(51,1),(52,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(50,1),(52,1),(78,1)}
       39:{1,3,4,5}:{(27,1),(54,1),(55,1)}
       40:{2,3,4,6}:{(27,1),(28,1),(51,1),(55,1),(56,1)}
       41:{1,3,4,7}:{(28,1),(29,1),(52,1),(56,1)}
       42:{2,3,5,6,7}:{(31,1),(47,1),(57,1),(79,1),(84,1),(94,1)}
       43:{3,4,5,6}:{(30,1),(58,1)}
       44:{2,4,5,7}:{(30,1),(31,1),(49,1),(57,1),(58,1)}
       45:{2,4,5,6}:{(32,1),(34,1),(60,1),(61,1)}
       46:{2,3,5,7}:{(32,1),(33,1),(35,1),(61,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(42,1),(59,1),(62,1),(65,1),(90,1),(97,1)}
       48:{1,3,4,5,6}:{(34,1),(37,1),(43,1),(60,1),(63,1),(64,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(44,1),(61,1),(62,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(62,1),(65,1),(88,1)}
       51:{2,3,5,6}:{(37,1),(40,1),(63,1),(66,1),(67,1)}
       52:{1,3,5,7}:{(37,1),(38,1),(41,1),(65,1),(67,1)}
       53:{1,2,3,4}:{(68,1)}
       54:{1,2,4,5}:{(39,1),(68,1),(69,1)}
       55:{1,3,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
       56:{2,3,4,7}:{(40,1),(41,1),(67,1),(70,1)}
       57:{2,4,6,7}:{(42,1),(44,1),(62,1),(72,1)}
       58:{3,4,5,7}:{(43,1),(44,1),(72,1)}
       59:{2,3,5,6,7}:{(46,1),(47,1),(73,1),(79,1),(93,1),(94,1)}
       60:{3,4,5,6}:{(45,1),(74,1)}
       61:{2,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(49,1),(57,1),(73,1)}
       63:{2,4,5,6}:{(48,1),(51,1),(77,1),(78,1)}
       64:{1,3,4,5,7}:{(48,1),(49,1),(52,1),(58,1),(74,1),(76,1),(78,1)}
       65:{1,3,6,7}:{(50,1),(52,1),(79,1)}
       66:{1,3,5,6}:{(51,1),(55,1),(77,1),(80,1),(81,1)}
       67:{2,3,5,7}:{(51,1),(52,1),(56,1),(78,1),(79,1),(81,1)}
       68:{1,2,3,5}:{(53,1),(54,1),(82,1)}
       69:{1,2,4,6}:{(54,1),(55,1),(80,1),(82,1),(83,1)}
       70:{1,3,4,7}:{(55,1),(56,1),(81,1),(83,1)}
       71:{2,4,5,6,7}:{(57,1),(75,1),(84,1),(94,1)}
       72:{3,4,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,6,7}:{(59,1),(61,1),(62,1),(86,1)}
       74:{3,4,5,7}:{(60,1),(61,1),(86,1)}
       75:{1,4,5,6,7}:{(62,1),(71,1),(85,1),(87,1),(97,1)}
       76:{1,3,4,6,7}:{(62,1),(64,1),(65,1),(72,1),(86,1),(87,1),(88,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,4,5,7}:{(63,1),(64,1),(67,1),(88,1),(89,1)}
       79:{2,3,6,7}:{(65,1),(67,1),(88,1),(90,1)}
       80:{1,2,5,6}:{(66,1),(69,1),(91,1)}
       81:{1,3,5,7}:{(66,1),(67,1),(70,1),(89,1),(90,1),(91,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,4,7}:{(69,1),(70,1),(91,1),(92,1)}
       84:{3,5,6,7}:{(71,1),(72,1)}
       85:{2,4,5,6,7}:{(73,1),(75,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(73,1),(74,1),(93,1)}
       87:{1,3,5,6,7}:{(75,1),(76,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(76,1),(78,1),(79,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(77,1),(78,1),(81,1),(95,1)}
       90:{1,3,6,7}:{(79,1),(81,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(80,1),(81,1),(83,1),(96,1)}
       92:{1,2,3,7}:{(82,1),(83,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2711 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2712 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2713 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2714 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(22,1),(142,1)}
         3:{1,2,3,4}:{(7,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(10,1)}
         5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(33,1),(38,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1),(130,1),(149,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1)}
         8:{1,2,3,4,7}:{(3,1),(16,1),(17,1),(81,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(19,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(19,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(23,1),(55,1),(116,1),(140,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(24,1),(51,1),(55,1)}
        13:{1,2,3,6}:{(6,1),(23,1)}
        14:{1,2,4,5}:{(7,1),(25,1),(26,1)}
        15:{1,2,3,6}:{(7,1),(26,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,4,6}:{(8,1),(29,1),(30,1),(63,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(31,1)}
        19:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(32,1),(34,1),(35,1),(71,1),(100,1),(128,1)}
        21:{1,2,4,5,6}:{(10,1),(33,1),(36,1),(38,1),(65,1),(72,1)}
        22:{1,2,4,7}:{(10,1),(12,1),(34,1)}
        23:{1,2,4,6}:{(11,1),(13,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(37,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(39,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
        27:{1,2,4,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1),(46,1),(79,1),(81,1)}
        28:{1,2,3,7}:{(15,1),(42,1)}
        29:{1,2,3,6}:{(16,1),(43,1)}
        30:{1,2,3,5}:{(17,1),(46,1)}
        31:{2,3,4,6}:{(18,1),(19,1),(39,1),(47,1),(48,1)}
        32:{2,3,4,5,7}:{(18,1),(20,1),(40,1),(48,1),(49,1),(83,1),(86,1),(114,1)}
        33:{1,3,5,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,7}:{(19,1),(22,1),(48,1),(51,1)}
        35:{1,3,4,6}:{(20,1),(23,1),(49,1),(53,1)}
        36:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(52,1),(55,1),(140,1),(152,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,3,4,6}:{(25,1),(26,1),(31,1),(56,1),(57,1)}
        40:{1,3,4,5,7}:{(25,1),(27,1),(32,1),(57,1),(58,1),(64,1),(93,1),(98,1)}
        41:{1,2,5,6}:{(26,1),(56,1),(59,1)}
        42:{1,2,4,7}:{(26,1),(28,1),(57,1),(59,1)}
        43:{1,2,4,6}:{(27,1),(29,1),(58,1),(61,1)}
        44:{1,2,3,6,7}:{(28,1),(29,1),(60,1),(62,1),(125,1)}
        45:{1,2,3,5,6}:{(29,1),(30,1),(61,1),(62,1),(63,1),(97,1)}
        46:{1,2,4,5}:{(30,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,7}:{(31,1),(34,1),(57,1),(66,1)}
        49:{2,3,4,6}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(72,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(36,1),(66,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(67,1),(70,1),(71,1),(106,1),(128,1),(147,1)}
        53:{1,3,5,6}:{(35,1),(38,1),(68,1),(71,1),(72,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(71,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,7}:{(39,1),(42,1),(48,1),(75,1)}
        58:{1,3,4,6}:{(40,1),(43,1),(49,1),(77,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(75,1),(78,1)}
        60:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(76,1),(78,1),(79,1),(81,1)}
        61:{1,2,5,6}:{(43,1),(77,1),(79,1)}
        62:{1,2,3,5,7}:{(44,1),(45,1),(79,1),(81,1),(112,1)}
        63:{1,2,4,6}:{(45,1),(46,1),(81,1),(82,1)}
        64:{1,3,4,5}:{(46,1),(82,1),(83,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(76,1),(85,1),(86,1),(114,1),(118,1),(137,1)}
        68:{2,3,5,6}:{(49,1),(53,1),(77,1),(86,1),(87,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(119,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(90,1)}
        72:{1,4,5,6}:{(53,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(117,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(57,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(67,1),(92,1),(93,1),(98,1),(122,1),(125,1)}
        77:{1,3,5,6}:{(58,1),(61,1),(68,1),(93,1),(94,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,5,7}:{(60,1),(61,1),(93,1)}
        80:{1,2,4,5,6}:{(61,1),(63,1),(94,1),(96,1),(97,1),(124,1)}
        81:{1,2,4,7}:{(62,1),(63,1),(98,1)}
        82:{1,3,4,6}:{(63,1),(64,1),(97,1),(98,1),(99,1)}
        83:{2,3,4,5}:{(64,1),(99,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(71,1),(93,1),(103,1)}
        87:{2,4,5,6}:{(68,1),(72,1),(94,1),(103,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(132,1)}
        89:{1,3,5,6,7}:{(70,1),(71,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,3,5,7}:{(76,1),(77,1),(79,1),(86,1),(109,1)}
        94:{1,4,5,6}:{(77,1),(87,1),(109,1)}
        95:{1,2,5,6,7}:{(78,1),(79,1),(108,1),(111,1),(150,1)}
        96:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(109,1),(111,1),(112,1),(135,1)}
        97:{1,3,5,6}:{(80,1),(82,1),(112,1),(113,1)}
        98:{1,3,4,7}:{(81,1),(82,1),(112,1),(114,1)}
        99:{2,3,4,6}:{(82,1),(83,1),(113,1),(114,1),(115,1)}
       100:{1,3,4,5}:{(83,1),(115,1),(116,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(117,1)}
       102:{2,3,5,6,7}:{(85,1),(86,1),(89,1),(108,1),(117,1),(118,1),(137,1),(143,1),(150,1)}
       103:{2,4,5,7}:{(86,1),(87,1),(90,1),(109,1),(118,1),(119,1)}
       104:{3,4,5,6}:{(87,1),(119,1)}
       105:{1,3,5,6,7}:{(88,1),(117,1),(120,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(118,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(121,1)}
       108:{1,3,5,6,7}:{(92,1),(93,1),(95,1),(102,1),(121,1),(122,1),(125,1)}
       109:{1,4,5,7}:{(93,1),(94,1),(103,1),(122,1)}
       110:{1,3,4,5,6}:{(94,1),(97,1),(104,1),(123,1),(124,1)}
       111:{1,2,4,6,7}:{(95,1),(96,1),(122,1),(125,1),(145,1)}
       112:{1,3,5,7}:{(96,1),(97,1),(98,1),(125,1),(126,1)}
       113:{2,3,5,6}:{(97,1),(99,1),(124,1),(126,1),(127,1)}
       114:{2,3,4,7}:{(98,1),(99,1),(126,1),(128,1)}
       115:{1,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       116:{1,2,4,5}:{(100,1),(129,1),(130,1)}
       117:{2,5,6,7}:{(101,1),(105,1),(121,1)}
       118:{2,4,6,7}:{(102,1),(103,1),(106,1),(122,1),(132,1)}
       119:{3,4,5,7}:{(103,1),(104,1),(132,1)}
       120:{1,4,5,6,7}:{(105,1),(106,1),(131,1),(153,1)}
       121:{1,5,6,7}:{(107,1),(117,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(118,1)}
       123:{1,3,4,5,7}:{(109,1),(110,1),(112,1),(119,1),(134,1),(135,1)}
       124:{2,4,5,6}:{(110,1),(113,1),(135,1),(136,1)}
       125:{1,3,6,7}:{(111,1),(112,1),(137,1)}
       126:{2,3,5,7}:{(112,1),(113,1),(114,1),(135,1),(137,1),(138,1)}
       127:{1,3,5,6}:{(113,1),(115,1),(136,1),(138,1),(139,1)}
       128:{1,3,4,7}:{(114,1),(115,1),(138,1),(140,1)}
       129:{1,2,4,6}:{(115,1),(116,1),(139,1),(140,1),(141,1)}
       130:{1,2,3,5}:{(116,1),(141,1),(142,1)}
       131:{2,4,5,6,7}:{(117,1),(118,1),(120,1),(133,1),(143,1),(150,1)}
       132:{3,4,6,7}:{(118,1),(119,1),(143,1)}
       133:{1,4,5,6,7}:{(121,1),(122,1),(131,1),(144,1)}
       134:{1,3,4,6,7}:{(122,1),(123,1),(125,1),(132,1),(144,1),(145,1)}
       135:{2,4,5,7}:{(123,1),(124,1),(126,1),(145,1),(146,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,3,6,7}:{(125,1),(126,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(126,1),(127,1),(128,1),(146,1),(147,1),(148,1)}
       139:{1,2,5,6}:{(127,1),(129,1),(148,1)}
       140:{1,2,4,7}:{(128,1),(129,1),(148,1),(149,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,3,4}:{(130,1)}
       143:{3,5,6,7}:{(131,1),(132,1)}
       144:{1,3,5,6,7}:{(133,1),(134,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(134,1),(135,1),(137,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(135,1),(136,1),(138,1),(151,1)}
       147:{1,3,6,7}:{(137,1),(138,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,2,3,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2715 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2716 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(83,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(69,1),(92,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(25,1),(27,1),(55,1),(81,1)}
        4:{1,2,3,6}:{(1,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(29,1),(30,1),(53,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(19,1),(34,1),(39,1),(41,1),(67,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
        9:{1,2,3,6,7}:{(4,1),(15,1),(17,1),(64,1),(92,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(38,1)}
       11:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(45,1),(53,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(24,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(25,1),(27,1),(81,1),(96,1)}
       16:{1,2,5,6}:{(8,1),(24,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1),(27,1),(51,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(27,1),(28,1)}
       19:{1,3,4,5}:{(11,1),(28,1),(29,1)}
       20:{2,3,4,6,7}:{(12,1),(23,1),(30,1),(53,1),(56,1),(78,1)}
       21:{2,3,5,6}:{(12,1),(24,1),(30,1),(31,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(20,1),(32,1),(34,1),(39,1),(61,1),(64,1),(67,1),(90,1)}
       24:{1,3,5,6}:{(14,1),(16,1),(21,1),(33,1),(34,1),(35,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(37,1),(38,1),(63,1)}
       27:{1,2,4,7}:{(17,1),(18,1),(39,1)}
       28:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1),(40,1)}
       29:{2,3,4,5}:{(19,1),(40,1),(41,1)}
       30:{2,3,5,7}:{(20,1),(21,1),(34,1),(43,1)}
       31:{2,4,5,6}:{(21,1),(35,1),(43,1),(44,1)}
       32:{2,3,4,6,7}:{(22,1),(23,1),(45,1),(53,1),(72,1),(78,1)}
       33:{2,3,5,6}:{(22,1),(24,1),(45,1),(46,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(30,1),(45,1),(48,1)}
       35:{1,4,5,6}:{(24,1),(31,1),(46,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(76,1)}
       38:{1,3,5,6}:{(26,1),(28,1),(51,1),(52,1)}
       39:{1,3,4,7}:{(27,1),(28,1),(51,1),(53,1)}
       40:{2,3,4,6}:{(28,1),(29,1),(52,1),(53,1),(54,1)}
       41:{1,3,4,5}:{(29,1),(54,1),(55,1)}
       42:{2,3,5,6,7}:{(30,1),(47,1),(56,1),(78,1),(84,1),(94,1)}
       43:{2,4,5,7}:{(30,1),(31,1),(48,1),(56,1),(57,1)}
       44:{3,4,5,6}:{(31,1),(57,1)}
       45:{2,3,5,7}:{(32,1),(33,1),(34,1),(59,1)}
       46:{2,4,5,6}:{(33,1),(35,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(42,1),(58,1),(61,1),(64,1),(90,1),(97,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(43,1),(59,1),(61,1)}
       49:{1,3,4,5,6}:{(35,1),(38,1),(44,1),(60,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(61,1),(64,1),(88,1)}
       51:{1,3,5,7}:{(37,1),(38,1),(39,1),(64,1),(65,1)}
       52:{2,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(66,1)}
       53:{2,3,4,7}:{(39,1),(40,1),(65,1),(67,1)}
       54:{1,3,4,6}:{(40,1),(41,1),(66,1),(67,1),(68,1)}
       55:{1,2,4,5}:{(41,1),(68,1),(69,1)}
       56:{2,4,6,7}:{(42,1),(43,1),(61,1),(71,1)}
       57:{3,4,5,7}:{(43,1),(44,1),(71,1)}
       58:{2,3,5,6,7}:{(45,1),(47,1),(72,1),(78,1),(93,1),(94,1)}
       59:{2,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(73,1)}
       60:{3,4,5,6}:{(46,1),(73,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(56,1),(72,1)}
       62:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(57,1),(73,1),(75,1),(76,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(76,1),(77,1)}
       64:{1,3,6,7}:{(50,1),(51,1),(78,1)}
       65:{2,3,5,7}:{(51,1),(52,1),(53,1),(76,1),(78,1),(79,1)}
       66:{1,3,5,6}:{(52,1),(54,1),(77,1),(79,1),(80,1)}
       67:{1,3,4,7}:{(53,1),(54,1),(79,1),(81,1)}
       68:{1,2,4,6}:{(54,1),(55,1),(80,1),(81,1),(82,1)}
       69:{1,2,3,5}:{(55,1),(82,1),(83,1)}
       70:{2,4,5,6,7}:{(56,1),(74,1),(84,1),(94,1)}
       71:{3,4,6,7}:{(56,1),(57,1),(84,1)}
       72:{2,4,6,7}:{(58,1),(59,1),(61,1),(86,1)}
       73:{3,4,5,7}:{(59,1),(60,1),(86,1)}
       74:{1,4,5,6,7}:{(61,1),(70,1),(85,1),(87,1),(97,1)}
       75:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(71,1),(86,1),(87,1),(88,1)}
       76:{2,4,5,7}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
       79:{1,3,5,7}:{(65,1),(66,1),(67,1),(89,1),(90,1),(91,1)}
       80:{1,2,5,6}:{(66,1),(68,1),(91,1)}
       81:{1,2,4,7}:{(67,1),(68,1),(91,1),(92,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,3,4}:{(69,1)}
       84:{3,5,6,7}:{(70,1),(71,1)}
       85:{2,4,5,6,7}:{(72,1),(74,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(72,1),(73,1),(93,1)}
       87:{1,3,5,6,7}:{(74,1),(75,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(75,1),(76,1),(78,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(76,1),(77,1),(79,1),(95,1)}
       90:{1,3,6,7}:{(78,1),(79,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
       92:{1,2,3,7}:{(81,1),(82,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2717 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2718 :   0:{2,3,4,5,6}:{(2,1),(3,1),(41,1),(70,1),(117,1),(165,1)}
         1:{3,4,5,6,7}:{(5,1),(135,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(57,1),(148,1)}
         3:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(27,1),(93,1),(101,1),(141,1),(149,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(43,1),(68,1),(81,1),(180,1)}
         5:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(124,1),(155,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(14,1),(76,1),(117,1),(124,1)}
         7:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(39,1),(75,1),(125,1)}
         8:{2,4,5,6}:{(3,1),(15,1),(17,1),(119,1),(160,1)}
         9:{3,4,5,6,7}:{(18,1),(101,1),(168,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(89,1),(169,1)}
        11:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(49,1),(61,1),(107,1),(135,1),(170,1)}
        12:{2,3,5,6,7}:{(5,1),(6,1),(22,1),(138,1)}
        13:{1,4,5,6,7}:{(5,1),(22,1),(23,1),(99,1),(170,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(22,1),(24,1),(54,1),(55,1),(99,1),(141,1)}
        15:{2,4,5,7}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,2,4,5,6}:{(8,1),(25,1),(27,1),(60,1),(97,1),(146,1),(149,1),(151,1)}
        17:{2,3,5,6}:{(8,1),(26,1),(27,1),(28,1),(142,1),(173,1)}
        18:{2,4,5,6,7}:{(9,1),(29,1),(30,1),(126,1),(153,1)}
        19:{2,3,4,6,7}:{(10,1),(29,1),(31,1),(81,1),(112,1),(153,1)}
        20:{1,3,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(66,1),(111,1),(154,1)}
        21:{2,4,5,6}:{(11,1),(32,1),(34,1),(83,1),(131,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(14,1),(35,1),(36,1),(158,1)}
        23:{2,4,5,6,7}:{(13,1),(35,1),(36,1),(74,1),(180,1)}
        24:{2,4,6,7}:{(14,1),(15,1),(35,1),(38,1),(160,1)}
        25:{1,2,4,5,7}:{(15,1),(16,1),(37,1),(39,1),(79,1),(125,1),(128,1)}
        26:{2,3,5,7}:{(15,1),(17,1),(38,1),(39,1),(40,1)}
        27:{1,3,5,6}:{(16,1),(17,1),(39,1),(41,1),(42,1),(123,1),(163,1)}
        28:{2,3,4,6}:{(17,1),(40,1),(42,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(44,1),(104,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(45,1),(133,1),(149,1)}
        31:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(46,1),(86,1),(87,1),(107,1),(133,1)}
        32:{2,4,5,7}:{(20,1),(21,1),(46,1),(48,1)}
        33:{1,2,4,5,6}:{(21,1),(47,1),(49,1),(92,1),(97,1),(146,1),(170,1),(172,1)}
        34:{2,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(108,1),(152,1)}
        35:{2,5,6,7}:{(22,1),(24,1),(172,1)}
        36:{3,5,6,7}:{(23,1),(54,1),(186,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(55,1),(99,1),(102,1),(146,1)}
        38:{2,3,6,7}:{(24,1),(26,1),(55,1),(173,1)}
        39:{1,3,5,7}:{(25,1),(26,1),(27,1),(55,1),(57,1),(58,1)}
        40:{2,3,4,7}:{(26,1),(28,1),(58,1)}
        41:{2,3,5,6}:{(27,1),(57,1),(60,1),(108,1),(151,1),(152,1)}
        42:{1,3,4,6}:{(27,1),(28,1),(58,1),(60,1),(61,1)}
        43:{2,3,4,5}:{(28,1),(61,1),(142,1)}
        44:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(62,1),(63,1),(129,1)}
        45:{2,4,5,6,7}:{(30,1),(62,1),(63,1),(110,1),(165,1)}
        46:{2,4,6,7}:{(31,1),(32,1),(62,1),(65,1),(131,1)}
        47:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(115,1),(154,1),(157,1)}
        48:{2,3,5,7}:{(32,1),(34,1),(65,1),(66,1),(67,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(66,1),(68,1),(69,1),(123,1),(163,1)}
        50:{2,3,4,6}:{(34,1),(67,1),(69,1),(70,1)}
        51:{1,2,3,5,6}:{(41,1),(68,1),(71,1),(72,1),(123,1),(162,1),(163,1)}
        52:{1,2,5,6,7}:{(35,1),(37,1),(73,1),(128,1),(162,1)}
        53:{2,3,5,6,7}:{(35,1),(36,1),(38,1),(73,1),(74,1),(78,1),(182,1)}
        54:{3,4,6,7}:{(36,1),(74,1),(75,1),(188,1)}
        55:{1,3,6,7}:{(37,1),(38,1),(39,1),(76,1),(163,1)}
        56:{2,3,4,6,7}:{(38,1),(40,1),(74,1),(77,1),(78,1),(81,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(76,1),(79,1),(128,1)}
        58:{1,3,4,7}:{(39,1),(40,1),(42,1),(79,1)}
        59:{2,3,4,5,7}:{(40,1),(43,1),(78,1),(80,1),(81,1),(159,1),(181,1)}
        60:{2,4,6}:{(41,1),(42,1),(79,1),(83,1)}
        61:{1,3,4,5}:{(42,1),(43,1),(83,1),(123,1)}
        62:{2,5,6,7}:{(44,1),(46,1),(151,1)}
        63:{3,5,6,7}:{(45,1),(86,1),(177,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(84,1),(87,1),(133,1),(136,1),(146,1)}
        65:{2,3,6,7}:{(46,1),(48,1),(87,1),(152,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(89,1),(90,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(90,1)}
        68:{2,3,5,6}:{(49,1),(89,1),(92,1),(142,1),(172,1),(173,1)}
        69:{1,3,4,6}:{(49,1),(50,1),(90,1),(92,1),(93,1)}
        70:{2,3,4,5}:{(50,1),(93,1),(108,1)}
        71:{1,2,3,5,7}:{(51,1),(57,1),(89,1),(94,1),(95,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(51,1),(60,1),(92,1),(95,1),(96,1),(97,1)}
        73:{1,3,5,6,7}:{(52,1),(53,1),(55,1),(98,1),(99,1),(103,1),(175,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(99,1),(100,1),(187,1)}
        75:{3,4,5,7}:{(54,1),(100,1),(101,1)}
        76:{2,3,6,7}:{(55,1),(57,1),(102,1),(152,1)}
        77:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(99,1),(102,1),(103,1),(107,1),(147,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,4,7}:{(57,1),(58,1),(60,1)}
        80:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(103,1),(106,1),(107,1),(145,1),(174,1),(176,1)}
        81:{2,3,4,6}:{(59,1),(104,1),(107,1),(173,1),(187,1)}
        82:{2,3,4,6}:{(60,1),(96,1),(105,1),(108,1),(152,1)}
        83:{2,4,5}:{(60,1),(61,1),(108,1)}
        84:{1,2,5,6,7}:{(62,1),(64,1),(109,1),(157,1),(162,1)}
        85:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1),(114,1),(167,1)}
        86:{3,4,6,7}:{(63,1),(110,1),(111,1),(184,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(66,1),(112,1),(163,1)}
        88:{2,3,4,6,7}:{(65,1),(67,1),(110,1),(113,1),(114,1),(117,1)}
        89:{2,3,5,7}:{(66,1),(68,1),(112,1),(115,1),(157,1)}
        90:{1,3,4,7}:{(66,1),(67,1),(69,1),(115,1)}
        91:{2,3,4,5,7}:{(67,1),(70,1),(114,1),(116,1),(117,1),(130,1),(166,1)}
        92:{2,4,6}:{(68,1),(69,1),(115,1),(119,1)}
        93:{1,3,4,5}:{(69,1),(70,1),(119,1),(123,1)}
        94:{1,2,3,6,7}:{(71,1),(76,1),(112,1),(120,1),(163,1)}
        95:{1,2,4,7}:{(71,1),(72,1),(79,1),(115,1),(121,1)}
        96:{1,3,4,6}:{(72,1),(82,1),(118,1),(121,1),(123,1),(163,1)}
        97:{1,2,4,5}:{(72,1),(83,1),(119,1),(123,1)}
        98:{2,3,5,6,7}:{(73,1),(76,1),(124,1),(128,1),(164,1),(167,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(124,1),(125,1),(183,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(125,1),(126,1)}
       101:{3,4,5,6}:{(75,1),(126,1),(188,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(79,1),(128,1),(131,1)}
       103:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1),(164,1)}
       104:{2,3,5,6}:{(78,1),(81,1),(126,1),(129,1)}
       105:{2,3,4,7}:{(79,1),(82,1),(121,1),(130,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(83,1),(128,1),(130,1),(131,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(129,1),(131,1),(163,1),(183,1),(184,1)}
       108:{2,3,5}:{(82,1),(83,1),(123,1)}
       109:{1,3,5,6,7}:{(84,1),(85,1),(87,1),(132,1),(133,1),(137,1),(175,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(133,1),(134,1),(178,1)}
       111:{3,4,5,7}:{(86,1),(134,1),(135,1)}
       112:{2,3,6,7}:{(87,1),(89,1),(136,1),(173,1)}
       113:{1,3,4,6,7}:{(87,1),(88,1),(90,1),(133,1),(136,1),(137,1),(141,1),(168,1)}
       114:{2,3,5,7}:{(88,1),(134,1),(137,1),(138,1)}
       115:{2,4,7}:{(89,1),(90,1),(92,1)}
       116:{1,3,4,5,7}:{(90,1),(91,1),(93,1),(137,1),(140,1),(141,1),(145,1),(174,1),(185,1)}
       117:{2,3,4,6}:{(91,1),(138,1),(141,1),(152,1),(178,1)}
       118:{2,3,4,6}:{(92,1),(96,1),(139,1),(142,1),(173,1)}
       119:{2,4,5}:{(92,1),(93,1),(142,1)}
       120:{1,2,4,6,7}:{(94,1),(95,1),(102,1),(136,1),(143,1),(144,1),(146,1)}
       121:{1,3,4,7}:{(95,1),(96,1),(105,1),(139,1),(145,1)}
       122:{1,2,4,5,7}:{(95,1),(97,1),(106,1),(140,1),(144,1),(145,1),(146,1),(174,1)}
       123:{1,3,5}:{(96,1),(97,1),(108,1),(142,1)}
       124:{2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(178,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(148,1),(149,1)}
       126:{2,4,5,6}:{(100,1),(101,1),(104,1),(149,1),(187,1)}
       127:{2,3,4,6,7}:{(102,1),(105,1),(143,1),(147,1),(150,1),(152,1),(178,1)}
       128:{2,5,7}:{(102,1),(103,1),(151,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(107,1),(149,1),(151,1),(177,1)}
       130:{2,3,5,7}:{(105,1),(106,1),(108,1),(145,1),(152,1)}
       131:{2,4,6}:{(106,1),(107,1),(151,1),(152,1)}
       132:{2,3,5,6,7}:{(109,1),(112,1),(153,1),(157,1),(179,1),(182,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(153,1),(154,1),(183,1)}
       134:{2,4,5,7}:{(110,1),(111,1),(114,1),(154,1),(155,1)}
       135:{3,4,5,6}:{(111,1),(155,1),(184,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(115,1),(157,1),(160,1)}
       137:{1,3,5,7}:{(113,1),(114,1),(154,1),(157,1),(158,1),(179,1)}
       138:{2,3,5,6}:{(114,1),(117,1),(155,1),(158,1)}
       139:{2,3,4,7}:{(115,1),(118,1),(121,1),(159,1)}
       140:{2,4,5,7}:{(115,1),(116,1),(119,1),(157,1),(159,1),(160,1)}
       141:{1,3,4,6}:{(116,1),(117,1),(158,1),(160,1),(163,1),(183,1),(188,1)}
       142:{2,3,5}:{(118,1),(119,1),(123,1)}
       143:{1,3,4,6,7}:{(120,1),(121,1),(127,1),(156,1),(161,1),(163,1),(183,1)}
       144:{1,2,5,7}:{(120,1),(128,1),(157,1),(161,1),(162,1)}
       145:{1,3,5,7}:{(121,1),(122,1),(123,1),(130,1),(159,1),(163,1)}
       146:{1,2,4,6}:{(122,1),(131,1),(160,1),(162,1),(163,1),(183,1)}
       147:{3,4,6,7}:{(124,1),(164,1),(184,1)}
       148:{2,4,5,7}:{(124,1),(125,1),(128,1),(164,1),(165,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(129,1),(165,1),(183,1)}
       150:{2,3,5,7}:{(127,1),(128,1),(161,1),(164,1),(166,1),(167,1)}
       151:{2,5,6}:{(128,1),(129,1),(131,1)}
       152:{2,3,6}:{(130,1),(131,1),(163,1)}
       153:{2,4,6,7}:{(132,1),(133,1),(168,1),(169,1),(187,1)}
       154:{1,4,5,7}:{(133,1),(134,1),(137,1),(169,1),(170,1)}
       155:{2,4,5,6}:{(134,1),(135,1),(138,1),(170,1),(178,1)}
       156:{2,3,4,6,7}:{(136,1),(139,1),(143,1),(168,1),(171,1),(173,1),(187,1)}
       157:{2,5,7}:{(136,1),(137,1),(172,1)}
       158:{1,3,5,6}:{(137,1),(138,1),(141,1),(170,1),(172,1),(186,1)}
       159:{2,3,5,7}:{(139,1),(140,1),(142,1),(145,1),(173,1)}
       160:{2,4,6}:{(140,1),(141,1),(172,1),(173,1)}
       161:{1,3,5,7}:{(143,1),(144,1),(150,1),(171,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(144,1),(146,1),(151,1),(172,1),(175,1)}
       163:{1,3,6}:{(145,1),(146,1),(152,1),(173,1)}
       164:{3,5,7}:{(147,1),(148,1),(177,1)}
       165:{2,4,5,6}:{(148,1),(149,1),(151,1),(177,1),(178,1)}
       166:{2,4,5,7}:{(150,1),(174,1),(176,1),(178,1)}
       167:{2,3,5,6}:{(150,1),(151,1),(152,1),(175,1),(177,1),(178,1)}
       168:{3,4,6,7}:{(153,1),(179,1),(188,1)}
       169:{2,4,5,7}:{(153,1),(154,1),(157,1),(179,1),(180,1)}
       170:{1,4,5,6}:{(154,1),(155,1),(158,1),(180,1),(183,1)}
       171:{2,3,5,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(182,1)}
       172:{2,5,6}:{(157,1),(158,1),(160,1)}
       173:{2,3,6}:{(159,1),(160,1),(163,1)}
       174:{1,4,5,7}:{(161,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,6}:{(161,1),(162,1),(163,1),(167,1),(182,1),(183,1)}
       176:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       177:{3,5,6}:{(164,1),(165,1),(184,1)}
       178:{2,4,6}:{(166,1),(167,1),(183,1),(184,1)}
       179:{3,5,7}:{(168,1),(169,1),(186,1)}
       180:{2,4,5,6}:{(169,1),(170,1),(172,1),(186,1),(187,1)}
       181:{2,4,5,7}:{(171,1),(174,1),(185,1),(187,1)}
       182:{2,3,5,6}:{(171,1),(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,5,6}:{(179,1),(180,1),(188,1)}
       187:{2,4,6}:{(181,1),(182,1),(183,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2719 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2720 :   0:{2,3,4,5,6}:{(1,1),(2,1),(31,1),(66,1),(115,1),(166,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(48,1),(147,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(19,1),(85,1),(136,1),(149,1),(150,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(39,1),(58,1),(79,1),(182,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(70,1),(115,1),(122,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(13,1),(33,1),(125,1),(127,1)}
         6:{2,4,5,6}:{(2,1),(13,1),(14,1),(108,1),(155,1)}
         7:{2,3,4,5,7}:{(3,1),(15,1),(16,1),(80,1),(170,1)}
         8:{1,3,4,5,6}:{(3,1),(16,1),(17,1),(41,1),(53,1),(101,1),(172,1),(173,1)}
         9:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(49,1),(93,1),(143,1),(148,1),(149,1)}
        10:{3,4,5,6,7}:{(20,1),(146,1),(173,1)}
        11:{2,3,5,6,7}:{(4,1),(20,1),(21,1),(139,1)}
        12:{1,3,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(51,1),(99,1),(102,1),(136,1)}
        13:{2,4,5,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{2,3,5,6}:{(6,1),(19,1),(23,1),(24,1),(130,1),(168,1)}
        15:{2,3,4,6,7}:{(7,1),(27,1),(28,1),(79,1),(106,1),(153,1)}
        16:{1,3,4,5,7}:{(7,1),(8,1),(28,1),(29,1),(60,1),(156,1),(158,1)}
        17:{2,4,5,6}:{(8,1),(29,1),(30,1),(72,1),(124,1)}
        18:{1,2,4,5,7}:{(9,1),(13,1),(32,1),(33,1),(71,1),(123,1),(125,1)}
        19:{1,3,5,6}:{(9,1),(14,1),(31,1),(33,1),(34,1),(117,1),(161,1)}
        20:{2,4,5,6,7}:{(10,1),(11,1),(35,1),(122,1),(159,1)}
        21:{1,3,5,6,7}:{(11,1),(12,1),(35,1),(36,1),(76,1),(157,1)}
        22:{2,4,6,7}:{(12,1),(13,1),(36,1),(37,1),(155,1)}
        23:{2,3,5,7}:{(13,1),(14,1),(33,1),(37,1),(38,1)}
        24:{2,3,4,6}:{(14,1),(34,1),(38,1),(39,1)}
        25:{1,2,4,5,6}:{(17,1),(40,1),(41,1),(81,1),(93,1),(143,1),(171,1),(172,1)}
        26:{3,4,5,6,7}:{(42,1),(150,1),(169,1)}
        27:{2,3,5,6,7}:{(15,1),(42,1),(43,1),(104,1)}
        28:{1,3,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(83,1),(101,1),(134,1),(137,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{2,3,5,6}:{(17,1),(41,1),(45,1),(46,1),(95,1),(145,1)}
        31:{2,3,5,6}:{(19,1),(48,1),(49,1),(95,1),(145,1),(148,1)}
        32:{1,2,4,6,7}:{(18,1),(22,1),(50,1),(51,1),(97,1),(99,1),(143,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(23,1),(48,1),(51,1),(52,1)}
        34:{1,3,4,6}:{(19,1),(24,1),(49,1),(52,1),(53,1)}
        35:{1,4,5,6,7}:{(20,1),(21,1),(54,1),(99,1),(172,1)}
        36:{2,5,6,7}:{(21,1),(22,1),(171,1)}
        37:{2,3,6,7}:{(22,1),(23,1),(51,1),(168,1)}
        38:{2,3,4,7}:{(23,1),(24,1),(52,1)}
        39:{2,3,4,5}:{(24,1),(53,1),(130,1)}
        40:{1,2,4,5,7}:{(25,1),(29,1),(59,1),(60,1),(107,1),(154,1),(156,1)}
        41:{1,3,5,6}:{(25,1),(30,1),(58,1),(60,1),(61,1),(117,1),(161,1)}
        42:{2,4,5,6,7}:{(26,1),(27,1),(62,1),(128,1),(153,1)}
        43:{1,3,5,6,7}:{(27,1),(28,1),(62,1),(63,1),(112,1),(126,1)}
        44:{2,4,6,7}:{(28,1),(29,1),(63,1),(64,1),(124,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(60,1),(64,1),(65,1)}
        46:{2,3,4,6}:{(30,1),(61,1),(65,1),(66,1)}
        47:{1,2,3,5,6}:{(31,1),(58,1),(67,1),(68,1),(117,1),(161,1),(162,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(123,1)}
        49:{2,4,6}:{(31,1),(34,1),(71,1),(72,1)}
        50:{1,2,5,6,7}:{(32,1),(36,1),(73,1),(123,1),(162,1)}
        51:{1,3,6,7}:{(32,1),(33,1),(37,1),(70,1),(161,1)}
        52:{1,3,4,7}:{(33,1),(34,1),(38,1),(71,1)}
        53:{1,3,4,5}:{(34,1),(39,1),(72,1),(117,1)}
        54:{2,4,5,6,7}:{(35,1),(36,1),(76,1),(77,1),(182,1)}
        55:{2,3,5,6,7}:{(36,1),(37,1),(73,1),(76,1),(77,1),(78,1),(180,1)}
        56:{2,3,4,6,7}:{(37,1),(38,1),(74,1),(77,1),(78,1),(79,1)}
        57:{2,3,4,5,7}:{(38,1),(39,1),(75,1),(78,1),(79,1),(152,1),(179,1)}
        58:{2,3,5,6}:{(41,1),(80,1),(81,1),(130,1),(168,1),(171,1)}
        59:{1,2,4,6,7}:{(40,1),(44,1),(82,1),(83,1),(132,1),(134,1),(143,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(45,1),(80,1),(83,1),(84,1)}
        61:{1,3,4,6}:{(41,1),(46,1),(81,1),(84,1),(85,1)}
        62:{1,4,5,6,7}:{(42,1),(43,1),(86,1),(134,1),(149,1)}
        63:{2,5,6,7}:{(43,1),(44,1),(148,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(145,1)}
        65:{2,3,4,7}:{(45,1),(46,1),(84,1)}
        66:{2,3,4,5}:{(46,1),(85,1),(95,1)}
        67:{1,2,3,5,7}:{(47,1),(48,1),(80,1),(91,1),(92,1),(141,1),(142,1)}
        68:{1,2,4,6}:{(47,1),(49,1),(81,1),(90,1),(92,1),(93,1)}
        69:{2,3,4,6}:{(49,1),(90,1),(94,1),(95,1),(145,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(97,1),(145,1)}
        71:{2,4,7}:{(48,1),(49,1),(52,1)}
        72:{2,4,5}:{(49,1),(53,1),(95,1)}
        73:{1,3,5,6,7}:{(50,1),(51,1),(55,1),(96,1),(99,1),(100,1),(175,1)}
        74:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(97,1),(99,1),(100,1),(101,1),(146,1)}
        75:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(98,1),(100,1),(101,1),(141,1),(174,1),(176,1)}
        76:{3,5,6,7}:{(54,1),(102,1),(187,1)}
        77:{2,4,6,7}:{(55,1),(99,1),(102,1),(103,1),(186,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,3,4,6}:{(57,1),(101,1),(104,1),(168,1),(186,1)}
        80:{2,3,5,7}:{(58,1),(60,1),(106,1),(107,1),(154,1)}
        81:{2,4,6}:{(58,1),(61,1),(107,1),(108,1)}
        82:{1,2,5,6,7}:{(59,1),(63,1),(109,1),(154,1),(162,1)}
        83:{1,3,6,7}:{(59,1),(60,1),(64,1),(106,1),(161,1)}
        84:{1,3,4,7}:{(60,1),(61,1),(65,1),(107,1)}
        85:{1,3,4,5}:{(61,1),(66,1),(108,1),(117,1)}
        86:{2,4,5,6,7}:{(62,1),(63,1),(112,1),(113,1),(166,1)}
        87:{2,3,5,6,7}:{(63,1),(64,1),(109,1),(112,1),(113,1),(114,1),(164,1)}
        88:{2,3,4,6,7}:{(64,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,4,5,7}:{(65,1),(66,1),(111,1),(114,1),(115,1),(121,1),(163,1)}
        90:{1,3,4,6}:{(68,1),(69,1),(105,1),(116,1),(117,1),(161,1)}
        91:{1,2,3,6,7}:{(67,1),(70,1),(106,1),(118,1),(161,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(71,1),(107,1),(116,1)}
        93:{1,2,4,5}:{(68,1),(72,1),(108,1),(117,1)}
        94:{2,3,4,7}:{(69,1),(71,1),(116,1),(121,1)}
        95:{2,3,5}:{(69,1),(72,1),(117,1)}
        96:{2,3,5,6,7}:{(70,1),(73,1),(122,1),(123,1),(164,1),(165,1)}
        97:{2,4,6,7}:{(70,1),(71,1),(74,1),(123,1),(124,1)}
        98:{2,4,5,7}:{(71,1),(72,1),(75,1),(121,1),(123,1),(124,1)}
        99:{1,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(183,1)}
       100:{1,3,5,7}:{(74,1),(78,1),(123,1),(125,1),(126,1),(165,1)}
       101:{1,3,4,6}:{(75,1),(79,1),(124,1),(126,1),(161,1),(183,1),(184,1)}
       102:{3,4,6,7}:{(76,1),(77,1),(127,1),(188,1)}
       103:{2,4,5,7}:{(77,1),(78,1),(125,1),(127,1),(128,1)}
       104:{2,3,5,6}:{(78,1),(79,1),(126,1),(128,1)}
       105:{2,3,4,6}:{(81,1),(90,1),(129,1),(130,1),(168,1)}
       106:{2,3,6,7}:{(80,1),(83,1),(132,1),(168,1)}
       107:{2,4,7}:{(80,1),(81,1),(84,1)}
       108:{2,4,5}:{(81,1),(85,1),(130,1)}
       109:{1,3,5,6,7}:{(82,1),(83,1),(87,1),(131,1),(134,1),(135,1),(175,1)}
       110:{1,3,4,6,7}:{(83,1),(84,1),(88,1),(132,1),(134,1),(135,1),(136,1),(169,1)}
       111:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(133,1),(135,1),(136,1),(141,1),(174,1),(185,1)}
       112:{3,5,6,7}:{(86,1),(137,1),(178,1)}
       113:{2,4,6,7}:{(87,1),(134,1),(137,1),(138,1),(177,1)}
       114:{2,3,5,7}:{(88,1),(135,1),(138,1),(139,1)}
       115:{2,3,4,6}:{(89,1),(136,1),(139,1),(145,1),(177,1)}
       116:{1,3,4,7}:{(90,1),(92,1),(94,1),(129,1),(141,1)}
       117:{1,3,5}:{(90,1),(93,1),(95,1),(130,1)}
       118:{1,2,4,6,7}:{(91,1),(92,1),(97,1),(132,1),(140,1),(142,1),(143,1)}
       119:{1,2,4,5,7}:{(92,1),(93,1),(98,1),(133,1),(141,1),(142,1),(143,1),(174,1)}
       120:{2,3,4,6,7}:{(94,1),(97,1),(140,1),(144,1),(145,1),(146,1),(177,1)}
       121:{2,3,5,7}:{(94,1),(95,1),(98,1),(141,1),(145,1)}
       122:{2,4,6,7}:{(96,1),(99,1),(146,1),(147,1),(177,1)}
       123:{2,5,7}:{(97,1),(100,1),(148,1)}
       124:{2,4,6}:{(98,1),(101,1),(145,1),(148,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(147,1),(149,1)}
       126:{1,3,5,6}:{(100,1),(101,1),(104,1),(148,1),(149,1),(178,1)}
       127:{3,4,5,7}:{(102,1),(103,1),(150,1)}
       128:{2,4,5,6}:{(103,1),(104,1),(149,1),(150,1),(186,1)}
       129:{2,3,4,7}:{(105,1),(107,1),(116,1),(152,1)}
       130:{2,3,5}:{(105,1),(108,1),(117,1)}
       131:{2,3,5,6,7}:{(106,1),(109,1),(153,1),(154,1),(180,1),(181,1)}
       132:{2,4,6,7}:{(106,1),(107,1),(110,1),(154,1),(155,1)}
       133:{2,4,5,7}:{(107,1),(108,1),(111,1),(152,1),(154,1),(155,1)}
       134:{1,4,6,7}:{(109,1),(113,1),(153,1),(156,1),(183,1)}
       135:{1,3,5,7}:{(110,1),(114,1),(154,1),(156,1),(157,1),(181,1)}
       136:{1,3,4,6}:{(111,1),(115,1),(155,1),(157,1),(161,1),(183,1),(188,1)}
       137:{3,4,6,7}:{(112,1),(113,1),(158,1),(184,1)}
       138:{2,4,5,7}:{(113,1),(114,1),(156,1),(158,1),(159,1)}
       139:{2,3,5,6}:{(114,1),(115,1),(157,1),(159,1)}
       140:{1,3,4,6,7}:{(116,1),(118,1),(120,1),(151,1),(160,1),(161,1),(183,1)}
       141:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(152,1),(161,1)}
       142:{1,2,5,7}:{(118,1),(123,1),(154,1),(160,1),(162,1)}
       143:{1,2,4,6}:{(119,1),(124,1),(155,1),(161,1),(162,1),(183,1)}
       144:{2,3,5,7}:{(120,1),(123,1),(160,1),(163,1),(164,1),(165,1)}
       145:{2,3,6}:{(121,1),(124,1),(161,1)}
       146:{3,4,6,7}:{(122,1),(165,1),(184,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(125,1),(165,1),(166,1)}
       148:{2,5,6}:{(123,1),(124,1),(126,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(128,1),(166,1),(183,1)}
       150:{3,4,5,6}:{(127,1),(128,1),(188,1)}
       151:{2,3,4,6,7}:{(129,1),(132,1),(140,1),(167,1),(168,1),(169,1),(186,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(141,1),(168,1)}
       153:{2,4,6,7}:{(131,1),(134,1),(169,1),(170,1),(186,1)}
       154:{2,5,7}:{(132,1),(135,1),(171,1)}
       155:{2,4,6}:{(133,1),(136,1),(168,1),(171,1)}
       156:{1,4,5,7}:{(134,1),(135,1),(138,1),(170,1),(172,1)}
       157:{1,3,5,6}:{(135,1),(136,1),(139,1),(171,1),(172,1),(187,1)}
       158:{3,4,5,7}:{(137,1),(138,1),(173,1)}
       159:{2,4,5,6}:{(138,1),(139,1),(172,1),(173,1),(177,1)}
       160:{1,3,5,7}:{(140,1),(142,1),(144,1),(167,1),(174,1),(175,1)}
       161:{1,3,6}:{(141,1),(143,1),(145,1),(168,1)}
       162:{1,2,5,6}:{(142,1),(143,1),(148,1),(171,1),(175,1)}
       163:{2,4,5,7}:{(144,1),(174,1),(176,1),(177,1)}
       164:{2,3,5,6}:{(144,1),(145,1),(148,1),(175,1),(177,1),(178,1)}
       165:{3,5,7}:{(146,1),(147,1),(178,1)}
       166:{2,4,5,6}:{(147,1),(148,1),(149,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(151,1),(154,1),(160,1),(179,1),(180,1),(181,1)}
       168:{2,3,6}:{(152,1),(155,1),(161,1)}
       169:{3,4,6,7}:{(153,1),(181,1),(188,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(156,1),(181,1),(182,1)}
       171:{2,5,6}:{(154,1),(155,1),(157,1)}
       172:{1,4,5,6}:{(156,1),(157,1),(159,1),(182,1),(183,1)}
       173:{3,4,5,6}:{(158,1),(159,1),(184,1)}
       174:{1,4,5,7}:{(160,1),(163,1),(179,1),(183,1)}
       175:{1,3,5,6}:{(160,1),(161,1),(162,1),(164,1),(180,1),(183,1)}
       176:{3,4,5,7}:{(163,1),(165,1),(184,1)}
       177:{2,4,6}:{(163,1),(164,1),(183,1),(184,1)}
       178:{3,5,6}:{(165,1),(166,1),(184,1)}
       179:{2,4,5,7}:{(167,1),(174,1),(185,1),(186,1)}
       180:{2,3,5,6}:{(167,1),(168,1),(171,1),(175,1),(186,1),(187,1)}
       181:{3,5,7}:{(169,1),(170,1),(187,1)}
       182:{2,4,5,6}:{(170,1),(171,1),(172,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{2,4,6}:{(179,1),(180,1),(183,1),(188,1)}
       187:{3,5,6}:{(181,1),(182,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2721 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2722 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2723 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2724 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2725 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2726 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2727 :   0:{2,3,4,5}:{(2,1),(3,1),(54,1),(106,1)}
         1:{1,2,3,5}:{(5,1),(6,1),(35,1),(36,1)}
         2:{1,3,4,5}:{(0,1),(10,1),(11,1),(36,1),(86,1),(92,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(12,1),(82,1),(131,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(24,1),(69,1)}
         5:{1,2,3,6}:{(1,1),(15,1),(16,1),(61,1)}
         6:{1,2,4}:{(1,1),(17,1)}
         7:{3,4,5,6}:{(19,1),(20,1),(145,1),(167,1)}
         8:{2,3,5,6}:{(3,1),(19,1),(22,1),(23,1)}
         9:{2,3,4}:{(17,1),(24,1)}
        10:{2,4,5}:{(2,1),(24,1),(25,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(22,1),(25,1),(26,1),(61,1),(113,1),(118,1)}
        12:{2,3,4,7}:{(3,1),(23,1),(26,1),(109,1),(149,1)}
        13:{1,3,4,5}:{(4,1),(30,1),(31,1),(36,1),(86,1),(125,1)}
        14:{2,3,4,6}:{(4,1),(28,1),(31,1),(32,1),(47,1),(98,1)}
        15:{1,2,3,7}:{(5,1),(33,1),(89,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(85,1)}
        17:{1,3,4}:{(6,1),(9,1),(29,1),(36,1)}
        18:{1,2,4,5}:{(6,1),(10,1),(30,1),(35,1),(36,1),(37,1),(86,1)}
        19:{2,4,5,6}:{(7,1),(8,1),(40,1),(41,1),(131,1),(160,1)}
        20:{3,4,5,7}:{(7,1),(39,1),(41,1),(159,1),(173,1)}
        21:{2,3,4,6}:{(9,1),(34,1),(42,1),(44,1),(47,1),(96,1),(98,1)}
        22:{1,3,5,6}:{(8,1),(11,1),(40,1),(45,1),(46,1),(93,1)}
        23:{2,3,5,7}:{(8,1),(12,1),(41,1),(43,1),(46,1)}
        24:{2,3,5}:{(9,1),(10,1),(36,1),(47,1)}
        25:{2,4,6}:{(10,1),(11,1),(45,1),(47,1),(48,1)}
        26:{1,3,4,7}:{(11,1),(12,1),(46,1),(48,1),(89,1),(135,1),(139,1)}
        27:{3,4,5,6}:{(49,1),(50,1),(118,1),(153,1)}
        28:{2,3,5,6}:{(14,1),(49,1),(52,1),(53,1)}
        29:{2,3,4}:{(17,1),(54,1)}
        30:{2,4,5}:{(13,1),(54,1),(55,1)}
        31:{1,3,4,6}:{(13,1),(14,1),(52,1),(55,1),(56,1),(61,1),(113,1),(145,1)}
        32:{2,3,4,7}:{(14,1),(53,1),(56,1),(72,1),(122,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(57,1),(58,1)}
        34:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(57,1),(59,1),(61,1),(111,1),(113,1)}
        35:{1,2,5}:{(16,1),(59,1)}
        36:{1,3,5}:{(17,1),(18,1),(24,1),(54,1),(61,1)}
        37:{1,2,4,6}:{(18,1),(25,1),(55,1),(60,1),(61,1),(62,1),(113,1)}
        38:{4,5,6,7}:{(63,1),(174,1)}
        39:{3,4,6,7}:{(20,1),(63,1),(64,1)}
        40:{1,4,5,6}:{(19,1),(22,1),(65,1),(66,1),(113,1),(150,1)}
        41:{2,4,5,7}:{(19,1),(20,1),(23,1),(64,1),(66,1),(149,1),(169,1)}
        42:{2,3,4,7}:{(21,1),(57,1),(67,1),(72,1),(122,1)}
        43:{2,3,6,7}:{(23,1),(64,1),(68,1)}
        44:{2,3,5}:{(21,1),(59,1),(69,1)}
        45:{2,5,6}:{(22,1),(25,1),(71,1)}
        46:{1,3,5,7}:{(22,1),(23,1),(26,1),(66,1),(68,1),(71,1),(119,1)}
        47:{2,3,6}:{(24,1),(25,1),(61,1),(72,1)}
        48:{2,4,7}:{(25,1),(26,1),(71,1),(72,1)}
        49:{2,4,5,6}:{(27,1),(28,1),(75,1),(76,1),(98,1),(140,1)}
        50:{3,4,5,7}:{(27,1),(74,1),(76,1),(139,1),(165,1)}
        51:{2,3,4,6}:{(29,1),(34,1),(77,1),(79,1),(82,1),(129,1),(131,1)}
        52:{1,3,5,6}:{(28,1),(31,1),(75,1),(80,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(28,1),(32,1),(76,1),(78,1),(81,1)}
        54:{2,3,5}:{(29,1),(30,1),(36,1),(82,1)}
        55:{2,4,6}:{(30,1),(31,1),(80,1),(82,1),(83,1)}
        56:{1,3,4,7}:{(31,1),(32,1),(81,1),(83,1),(89,1),(135,1),(159,1)}
        57:{1,3,4,7}:{(33,1),(34,1),(42,1),(77,1),(84,1),(89,1),(135,1)}
        58:{1,2,5,7}:{(33,1),(35,1),(84,1),(85,1)}
        59:{1,3,5}:{(34,1),(35,1),(44,1),(79,1),(86,1)}
        60:{1,2,5,6}:{(35,1),(37,1),(45,1),(80,1),(85,1),(87,1),(88,1)}
        61:{1,3,6}:{(36,1),(37,1),(47,1),(82,1),(89,1)}
        62:{1,2,4,7}:{(37,1),(48,1),(83,1),(88,1),(89,1),(135,1)}
        63:{3,5,6,7}:{(38,1),(39,1),(90,1),(173,1)}
        64:{2,4,6,7}:{(39,1),(41,1),(43,1),(90,1),(91,1)}
        65:{2,4,5,6}:{(40,1),(45,1),(93,1),(94,1),(98,1),(140,1),(163,1)}
        66:{1,4,5,7}:{(40,1),(41,1),(46,1),(91,1),(94,1),(135,1),(162,1)}
        67:{2,3,5,7}:{(42,1),(44,1),(84,1),(95,1),(96,1)}
        68:{1,3,6,7}:{(43,1),(46,1),(91,1),(97,1),(138,1)}
        69:{2,4,5}:{(44,1),(86,1),(92,1),(98,1)}
        70:{2,3,5,6}:{(44,1),(45,1),(47,1),(87,1),(93,1),(96,1),(98,1),(99,1),(140,1)}
        71:{2,5,7}:{(45,1),(46,1),(48,1),(97,1)}
        72:{2,3,7}:{(47,1),(48,1),(89,1)}
        73:{4,5,6,7}:{(100,1),(170,1)}
        74:{3,4,6,7}:{(50,1),(100,1),(101,1)}
        75:{1,4,5,6}:{(49,1),(52,1),(102,1),(103,1),(113,1),(150,1)}
        76:{2,4,5,7}:{(49,1),(50,1),(53,1),(101,1),(103,1),(122,1),(155,1)}
        77:{2,3,4,7}:{(51,1),(57,1),(104,1),(109,1),(149,1)}
        78:{2,3,6,7}:{(53,1),(101,1),(105,1)}
        79:{2,3,5}:{(51,1),(59,1),(106,1)}
        80:{2,5,6}:{(52,1),(55,1),(108,1)}
        81:{1,3,5,7}:{(52,1),(53,1),(56,1),(103,1),(105,1),(108,1),(146,1)}
        82:{2,3,6}:{(54,1),(55,1),(61,1),(109,1)}
        83:{2,4,7}:{(55,1),(56,1),(108,1),(109,1)}
        84:{1,3,5,7}:{(57,1),(58,1),(59,1),(67,1),(104,1),(110,1),(111,1)}
        85:{1,2,6}:{(58,1),(111,1)}
        86:{1,4,5}:{(59,1),(69,1),(106,1),(113,1)}
        87:{1,3,5,6}:{(59,1),(60,1),(61,1),(70,1),(107,1),(111,1),(113,1),(114,1),(150,1)}
        88:{1,2,5,7}:{(60,1),(62,1),(71,1),(108,1),(112,1),(114,1)}
        89:{1,3,7}:{(61,1),(62,1),(72,1),(109,1)}
        90:{2,5,6,7}:{(63,1),(64,1),(115,1),(169,1)}
        91:{1,4,6,7}:{(64,1),(66,1),(68,1),(115,1),(117,1)}
        92:{3,4,5}:{(69,1),(118,1)}
        93:{3,5,6}:{(65,1),(118,1),(119,1)}
        94:{2,4,5,7}:{(65,1),(66,1),(71,1),(117,1),(119,1),(122,1),(155,1),(170,1)}
        95:{2,4,5,7}:{(67,1),(69,1),(110,1),(116,1),(120,1),(122,1),(155,1)}
        96:{2,3,6}:{(67,1),(111,1),(120,1)}
        97:{2,6,7}:{(68,1),(71,1)}
        98:{2,4,6}:{(69,1),(70,1),(113,1),(118,1),(122,1)}
        99:{2,3,5,7}:{(70,1),(71,1),(72,1),(114,1),(119,1),(121,1),(122,1),(155,1)}
       100:{3,5,6,7}:{(73,1),(74,1),(123,1),(165,1)}
       101:{2,4,6,7}:{(74,1),(76,1),(78,1),(123,1),(124,1)}
       102:{2,4,5,6}:{(75,1),(80,1),(126,1),(127,1),(131,1),(160,1),(171,1)}
       103:{1,4,5,7}:{(75,1),(76,1),(81,1),(124,1),(127,1),(135,1),(162,1)}
       104:{2,3,5,7}:{(77,1),(79,1),(84,1),(128,1),(129,1)}
       105:{1,3,6,7}:{(78,1),(81,1),(124,1),(130,1),(158,1)}
       106:{2,4,5}:{(79,1),(86,1),(125,1),(131,1)}
       107:{2,3,5,6}:{(79,1),(80,1),(82,1),(87,1),(126,1),(129,1),(131,1),(132,1),(160,1)}
       108:{2,5,7}:{(80,1),(81,1),(83,1),(130,1)}
       109:{2,3,7}:{(82,1),(83,1),(89,1)}
       110:{1,4,5,7}:{(84,1),(86,1),(95,1),(128,1),(133,1),(135,1),(162,1)}
       111:{1,3,6}:{(84,1),(85,1),(96,1),(129,1),(133,1)}
       112:{1,2,6,7}:{(85,1),(88,1),(97,1),(130,1),(134,1)}
       113:{1,4,6}:{(86,1),(87,1),(98,1),(131,1),(135,1)}
       114:{1,3,5,7}:{(87,1),(88,1),(89,1),(99,1),(132,1),(134,1),(135,1),(162,1)}
       115:{1,5,6,7}:{(90,1),(91,1),(136,1),(162,1)}
       116:{3,4,5,7}:{(92,1),(95,1),(137,1),(139,1),(165,1)}
       117:{2,4,6,7}:{(91,1),(94,1),(97,1),(136,1),(138,1),(164,1)}
       118:{3,4,6}:{(92,1),(93,1),(98,1),(139,1)}
       119:{3,5,7}:{(93,1),(94,1),(138,1),(139,1)}
       120:{2,4,6}:{(95,1),(96,1),(133,1),(137,1),(140,1)}
       121:{2,3,6,7}:{(96,1),(97,1),(99,1),(134,1),(138,1),(141,1)}
       122:{2,4,7}:{(98,1),(99,1),(135,1),(139,1)}
       123:{2,5,6,7}:{(100,1),(101,1),(142,1),(155,1)}
       124:{1,4,6,7}:{(101,1),(103,1),(105,1),(142,1),(144,1)}
       125:{3,4,5}:{(106,1),(145,1)}
       126:{3,5,6}:{(102,1),(145,1),(146,1)}
       127:{2,4,5,7}:{(102,1),(103,1),(108,1),(144,1),(146,1),(149,1),(169,1),(174,1)}
       128:{2,4,5,7}:{(104,1),(106,1),(110,1),(143,1),(147,1),(149,1),(169,1)}
       129:{2,3,6}:{(104,1),(111,1),(147,1)}
       130:{2,6,7}:{(105,1),(108,1)}
       131:{2,4,6}:{(106,1),(107,1),(113,1),(145,1),(149,1)}
       132:{2,3,5,7}:{(107,1),(108,1),(109,1),(114,1),(146,1),(148,1),(149,1),(169,1)}
       133:{1,4,6}:{(110,1),(111,1),(120,1),(147,1),(150,1)}
       134:{1,3,6,7}:{(111,1),(112,1),(114,1),(121,1),(148,1),(151,1)}
       135:{1,4,7}:{(113,1),(114,1),(122,1),(149,1)}
       136:{2,5,6,7}:{(115,1),(117,1),(152,1),(155,1)}
       137:{3,4,6}:{(116,1),(120,1),(153,1)}
       138:{3,6,7}:{(117,1),(119,1)}
       139:{3,4,7}:{(118,1),(119,1),(122,1)}
       140:{2,5,6}:{(120,1),(150,1),(153,1),(155,1)}
       141:{2,4,6,7}:{(120,1),(121,1),(122,1),(151,1),(154,1),(155,1)}
       142:{1,5,6,7}:{(123,1),(124,1),(156,1),(162,1)}
       143:{3,4,5,7}:{(125,1),(128,1),(157,1),(159,1),(173,1)}
       144:{2,4,6,7}:{(124,1),(127,1),(130,1),(156,1),(158,1),(172,1)}
       145:{3,4,6}:{(125,1),(126,1),(131,1),(159,1)}
       146:{3,5,7}:{(126,1),(127,1),(158,1),(159,1)}
       147:{2,4,6}:{(128,1),(129,1),(133,1),(157,1),(160,1)}
       148:{2,3,6,7}:{(129,1),(130,1),(132,1),(134,1),(158,1),(161,1)}
       149:{2,4,7}:{(131,1),(132,1),(135,1),(159,1)}
       150:{1,5,6}:{(133,1),(140,1),(160,1),(162,1)}
       151:{1,4,6,7}:{(133,1),(134,1),(135,1),(141,1),(161,1),(162,1)}
       152:{3,5,6,7}:{(136,1),(138,1),(164,1),(165,1)}
       153:{3,5,6}:{(137,1),(140,1),(163,1),(165,1)}
       154:{3,4,6,7}:{(137,1),(138,1),(139,1),(141,1),(164,1),(165,1)}
       155:{2,5,7}:{(140,1),(141,1),(162,1),(165,1)}
       156:{2,5,6,7}:{(142,1),(144,1),(166,1),(169,1)}
       157:{3,4,6}:{(143,1),(147,1),(167,1)}
       158:{3,6,7}:{(144,1),(146,1)}
       159:{3,4,7}:{(145,1),(146,1),(149,1)}
       160:{2,5,6}:{(147,1),(150,1),(167,1),(169,1)}
       161:{2,4,6,7}:{(147,1),(148,1),(149,1),(151,1),(168,1),(169,1)}
       162:{1,5,7}:{(150,1),(151,1),(155,1),(169,1)}
       163:{4,5,6}:{(153,1),(170,1)}
       164:{4,6,7}:{(152,1),(170,1)}
       165:{3,5,7}:{(153,1),(154,1),(155,1),(170,1)}
       166:{3,5,6,7}:{(156,1),(158,1),(172,1),(173,1)}
       167:{3,5,6}:{(157,1),(160,1),(171,1),(173,1)}
       168:{3,4,6,7}:{(157,1),(158,1),(159,1),(161,1),(172,1),(173,1)}
       169:{2,5,7}:{(160,1),(161,1),(162,1),(173,1)}
       170:{4,5,7}:{(163,1),(164,1),(165,1)}
       171:{4,5,6}:{(167,1),(174,1)}
       172:{4,6,7}:{(166,1),(174,1)}
       173:{3,5,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2728 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(134,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(153,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(42,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(117,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(134,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(167,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(136,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(151,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(79,1),(105,1),(112,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(116,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(57,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(97,1),(132,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(112,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(42,1),(43,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(43,1)}
        33:{2,3,5,6}:{(24,1),(42,1),(46,1),(80,1),(105,1),(114,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(43,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(116,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(132,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(59,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{2,3,5,7}:{(31,1),(33,1),(49,1),(57,1),(85,1)}
        43:{1,3,4,7}:{(31,1),(32,1),(34,1),(57,1)}
        44:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(58,1),(59,1),(130,1),(158,1)}
        45:{1,2,3,5,6}:{(33,1),(56,1),(60,1),(97,1),(124,1),(132,1),(137,1)}
        46:{2,4,6}:{(33,1),(34,1),(57,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(97,1)}
        48:{2,3,4,5,6}:{(35,1),(59,1),(63,1),(64,1),(137,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(42,1),(66,1),(114,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(67,1),(69,1),(76,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(45,1),(65,1),(73,1),(103,1),(111,1),(156,1)}
        57:{2,4,7}:{(42,1),(43,1),(46,1)}
        58:{1,3,4,5,7}:{(43,1),(44,1),(47,1),(67,1),(75,1),(76,1),(107,1),(111,1),(142,1)}
        59:{2,3,4,6}:{(44,1),(68,1),(76,1),(150,1),(172,1)}
        60:{1,2,4,6}:{(45,1),(46,1),(73,1),(78,1),(79,1),(155,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(78,1),(80,1),(114,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(76,1),(81,1),(82,1),(118,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(77,1),(82,1),(156,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(132,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(57,1),(85,1),(94,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(59,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(60,1),(91,1),(170,1)}
        74:{2,3,4,7}:{(57,1),(61,1),(91,1),(93,1)}
        75:{2,4,5,7}:{(57,1),(58,1),(62,1),(85,1),(93,1),(94,1)}
        76:{1,3,4,6}:{(58,1),(59,1),(86,1),(94,1),(128,1),(132,1),(160,1)}
        77:{2,3,4,6,7}:{(59,1),(64,1),(87,1),(95,1),(166,1),(182,1)}
        78:{1,3,4,6}:{(60,1),(61,1),(91,1),(96,1),(97,1),(132,1)}
        79:{1,2,4,5}:{(60,1),(62,1),(97,1),(136,1)}
        80:{2,3,5}:{(61,1),(62,1),(97,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(94,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(95,1),(101,1),(139,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(112,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(74,1),(102,1),(104,1),(114,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(76,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(77,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(78,1),(110,1),(111,1)}
        92:{1,2,4,5,7}:{(73,1),(75,1),(79,1),(103,1),(111,1),(112,1),(142,1),(149,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(80,1),(111,1),(114,1)}
        94:{2,4,6}:{(75,1),(76,1),(105,1),(114,1)}
        95:{1,3,4,6,7}:{(76,1),(77,1),(82,1),(106,1),(115,1),(148,1),(152,1),(175,1)}
        96:{2,3,4,6}:{(78,1),(110,1),(116,1),(150,1),(155,1)}
        97:{1,3,5}:{(78,1),(79,1),(80,1),(116,1)}
        98:{1,2,4,5,6}:{(79,1),(81,1),(112,1),(118,1),(119,1),(155,1),(174,1),(177,1)}
        99:{2,3,4,5}:{(80,1),(117,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(114,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(115,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(91,1),(122,1),(123,1),(132,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(94,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(95,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(96,1),(130,1),(170,1)}
       111:{1,3,5,7}:{(91,1),(92,1),(93,1),(97,1),(130,1),(132,1)}
       112:{1,2,4,6}:{(92,1),(94,1),(124,1),(132,1),(160,1),(165,1)}
       113:{2,3,4,5,7}:{(93,1),(99,1),(125,1),(131,1),(134,1),(140,1),(169,1)}
       114:{2,3,6}:{(93,1),(94,1),(132,1)}
       115:{2,4,6,7}:{(94,1),(95,1),(101,1),(127,1),(135,1)}
       116:{2,3,5}:{(96,1),(97,1),(136,1)}
       117:{1,3,4,5}:{(97,1),(99,1),(136,1),(138,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(100,1),(132,1),(137,1),(138,1),(139,1)}
       119:{1,2,4,5,7}:{(98,1),(101,1),(133,1),(139,1),(170,1),(183,1),(184,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(138,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(135,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(112,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(114,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(115,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(116,1),(149,1),(150,1)}
       131:{1,3,4,5,7}:{(111,1),(113,1),(117,1),(142,1),(149,1),(151,1),(157,1),(171,1),(179,1)}
       132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
       133:{1,2,4,6,7}:{(112,1),(115,1),(119,1),(144,1),(152,1),(175,1),(178,1)}
       134:{2,3,4,6}:{(113,1),(114,1),(145,1),(151,1),(153,1)}
       135:{2,3,6,7}:{(114,1),(115,1),(121,1),(152,1)}
       136:{2,4,5}:{(116,1),(117,1),(155,1)}
       137:{2,3,5,6}:{(116,1),(118,1),(150,1),(155,1),(156,1),(177,1)}
       138:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(157,1)}
       139:{1,3,5,7}:{(118,1),(119,1),(121,1),(152,1),(156,1),(157,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(157,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(132,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(133,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(135,1),(161,1),(163,1),(169,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(136,1),(165,1),(170,1),(184,1)}
       150:{2,3,6}:{(130,1),(132,1),(165,1)}
       151:{1,3,4,6}:{(131,1),(132,1),(134,1),(160,1),(165,1),(167,1),(180,1)}
       152:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(166,1)}
       153:{2,3,5,6}:{(134,1),(162,1),(167,1),(169,1)}
       154:{2,3,4,6,7}:{(134,1),(135,1),(140,1),(163,1),(168,1),(169,1)}
       155:{2,4,6}:{(136,1),(137,1),(138,1),(170,1)}
       156:{2,3,5,7}:{(137,1),(139,1),(166,1),(170,1),(184,1)}
       157:{1,3,4,7}:{(138,1),(139,1),(140,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(152,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(153,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(151,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(156,1),(178,1)}
       167:{1,3,5,6}:{(151,1),(153,1),(174,1),(177,1),(179,1),(185,1)}
       168:{1,3,4,6,7}:{(151,1),(152,1),(154,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       169:{2,3,5,7}:{(153,1),(154,1),(176,1),(179,1)}
       170:{2,4,7}:{(155,1),(156,1),(157,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(167,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(169,1),(183,1)}
       177:{2,5,6}:{(165,1),(167,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(184,1)}
       179:{1,3,5,7}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2729 :   0:{4,5,6,7}:{(3,1),(172,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(145,1),(162,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(107,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(169,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(128,1),(153,1)}
         5:{3,4,5,7}:{(1,1),(9,1),(14,1),(158,1),(169,1)}
         6:{1,2,3,5}:{(11,1),(15,1),(40,1),(48,1)}
         7:{1,3,4,5}:{(2,1),(17,1),(18,1),(44,1),(48,1),(85,1)}
         8:{2,3,4,6}:{(2,1),(12,1),(18,1),(19,1),(93,1),(128,1)}
         9:{3,4,6,7}:{(3,1),(5,1),(21,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(164,1)}
        11:{1,2,3,6}:{(6,1),(20,1),(23,1),(70,1)}
        12:{2,3,5,6}:{(4,1),(8,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(4,1),(25,1),(27,1),(28,1),(109,1),(141,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(28,1),(147,1),(164,1)}
        15:{1,2,4}:{(6,1),(29,1)}
        16:{2,3,4}:{(29,1),(31,1)}
        17:{2,4,5}:{(7,1),(31,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(25,1),(32,1),(33,1),(66,1),(70,1),(109,1)}
        19:{2,3,4,7}:{(8,1),(26,1),(33,1),(115,1),(147,1)}
        20:{1,2,3,7}:{(11,1),(34,1),(95,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(14,1),(36,1),(37,1)}
        22:{1,5,6,7}:{(10,1),(37,1),(38,1),(155,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(34,1),(39,1),(40,1),(76,1)}
        24:{2,3,4,6}:{(16,1),(35,1),(39,1),(41,1),(51,1),(78,1),(88,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(18,1),(42,1),(43,1),(45,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(19,1),(36,1),(43,1)}
        27:{2,4,5,6}:{(13,1),(42,1),(45,1),(46,1),(82,1),(88,1),(123,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(37,1),(43,1),(46,1),(131,1),(155,1)}
        29:{1,3,4}:{(15,1),(16,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(15,1),(17,1),(40,1),(48,1),(49,1),(85,1),(92,1)}
        31:{2,3,5}:{(16,1),(17,1),(48,1),(51,1)}
        32:{2,4,6}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(43,1),(52,1),(91,1),(95,1),(131,1)}
        34:{1,2,4,7}:{(20,1),(23,1),(53,1),(54,1)}
        35:{2,3,4,7}:{(24,1),(53,1),(55,1),(73,1),(112,1)}
        36:{2,3,6,7}:{(21,1),(26,1),(56,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(56,1),(58,1)}
        38:{2,5,6,7}:{(22,1),(58,1),(59,1),(143,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(29,1),(53,1),(60,1),(61,1),(70,1),(100,1),(109,1)}
        40:{1,2,5}:{(23,1),(61,1)}
        41:{2,3,5}:{(24,1),(61,1),(63,1)}
        42:{2,5,6}:{(25,1),(32,1),(65,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(33,1),(56,1),(65,1),(67,1)}
        44:{3,4,5}:{(63,1),(66,1)}
        45:{3,5,6}:{(27,1),(66,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(58,1),(65,1),(67,1),(106,1),(112,1),(143,1)}
        47:{2,3,4}:{(29,1),(68,1)}
        48:{1,3,5}:{(29,1),(30,1),(31,1),(68,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(32,1),(62,1),(70,1),(71,1),(109,1),(114,1)}
        50:{2,3,4,5}:{(31,1),(63,1),(69,1),(72,1)}
        51:{2,3,6}:{(31,1),(32,1),(70,1),(73,1)}
        52:{2,4,7}:{(32,1),(33,1),(65,1),(73,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(74,1),(75,1),(95,1),(131,1)}
        54:{1,2,5,7}:{(34,1),(40,1),(75,1),(76,1)}
        55:{2,3,5,7}:{(35,1),(41,1),(75,1),(77,1),(78,1)}
        56:{1,3,6,7}:{(36,1),(37,1),(43,1),(79,1),(81,1)}
        57:{3,4,5,7}:{(44,1),(77,1),(80,1),(91,1),(125,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(46,1),(79,1),(81,1),(83,1)}
        59:{3,5,6,7}:{(38,1),(81,1),(83,1),(125,1)}
        60:{2,3,4,6}:{(39,1),(47,1),(74,1),(84,1),(93,1),(120,1),(128,1)}
        61:{1,3,5}:{(39,1),(40,1),(41,1),(84,1),(85,1)}
        62:{1,2,5,6}:{(40,1),(42,1),(49,1),(76,1),(86,1),(87,1),(134,1)}
        63:{2,4,5}:{(41,1),(44,1),(85,1),(88,1)}
        64:{2,3,5,6}:{(41,1),(42,1),(45,1),(51,1),(78,1),(86,1),(88,1),(89,1),(123,1)}
        65:{2,5,7}:{(42,1),(43,1),(52,1),(79,1)}
        66:{3,4,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(46,1),(81,1),(91,1)}
        68:{2,3,5}:{(47,1),(48,1),(92,1),(93,1)}
        69:{1,3,4,5}:{(48,1),(50,1),(85,1),(92,1),(94,1),(127,1)}
        70:{1,3,6}:{(48,1),(49,1),(51,1),(93,1),(95,1)}
        71:{1,2,4,7}:{(49,1),(52,1),(87,1),(95,1),(131,1),(135,1)}
        72:{2,3,4,6}:{(50,1),(51,1),(88,1),(94,1),(96,1),(97,1)}
        73:{2,3,7}:{(51,1),(52,1),(95,1)}
        74:{2,3,4,7}:{(53,1),(60,1),(98,1),(115,1),(147,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(55,1),(61,1),(98,1),(99,1),(100,1)}
        76:{1,2,6}:{(54,1),(100,1)}
        77:{2,4,5,7}:{(55,1),(57,1),(63,1),(99,1),(102,1),(112,1),(143,1)}
        78:{2,3,6}:{(55,1),(100,1),(102,1)}
        79:{2,6,7}:{(56,1),(65,1)}
        80:{3,4,6}:{(57,1),(102,1),(104,1)}
        81:{3,6,7}:{(58,1),(67,1)}
        82:{4,5,6}:{(104,1),(106,1)}
        83:{4,6,7}:{(59,1),(106,1)}
        84:{2,3,5}:{(60,1),(61,1),(107,1)}
        85:{1,4,5}:{(61,1),(63,1),(107,1),(109,1)}
        86:{1,3,5,6}:{(61,1),(62,1),(64,1),(70,1),(100,1),(108,1),(109,1),(110,1),(141,1)}
        87:{1,2,5,7}:{(62,1),(65,1),(71,1),(101,1),(110,1),(150,1)}
        88:{2,4,6}:{(63,1),(64,1),(66,1),(109,1),(112,1)}
        89:{2,3,5,7}:{(64,1),(65,1),(67,1),(73,1),(103,1),(110,1),(112,1),(143,1)}
        90:{3,4,5,6}:{(66,1),(104,1),(111,1),(113,1)}
        91:{3,4,7}:{(66,1),(67,1),(112,1)}
        92:{2,4,5}:{(68,1),(69,1),(114,1)}
        93:{2,3,6}:{(68,1),(70,1),(114,1),(115,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(72,1),(109,1),(114,1),(116,1),(117,1),(145,1)}
        95:{1,3,7}:{(70,1),(71,1),(73,1),(115,1)}
        96:{2,3,5,6}:{(72,1),(111,1),(116,1),(118,1)}
        97:{2,3,4,7}:{(72,1),(73,1),(112,1),(117,1),(118,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(84,1),(119,1),(120,1)}
        99:{1,4,5,7}:{(75,1),(77,1),(85,1),(119,1),(121,1),(131,1),(155,1)}
       100:{1,3,6}:{(75,1),(76,1),(78,1),(120,1),(121,1)}
       101:{1,2,6,7}:{(76,1),(79,1),(87,1),(122,1),(161,1)}
       102:{2,4,6}:{(77,1),(78,1),(80,1),(121,1),(123,1)}
       103:{2,3,6,7}:{(78,1),(79,1),(81,1),(89,1),(122,1),(124,1)}
       104:{3,5,6}:{(80,1),(82,1),(123,1),(125,1)}
       105:{3,4,6,7}:{(80,1),(81,1),(83,1),(91,1),(124,1),(125,1)}
       106:{4,5,7}:{(82,1),(83,1),(125,1)}
       107:{2,4,5}:{(84,1),(85,1),(127,1),(128,1)}
       108:{2,3,5,6}:{(84,1),(86,1),(93,1),(120,1),(128,1),(129,1),(134,1),(153,1),(157,1)}
       109:{1,4,6}:{(85,1),(86,1),(88,1),(128,1),(131,1)}
       110:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(122,1),(129,1),(131,1),(155,1)}
       111:{2,4,5,6}:{(88,1),(90,1),(96,1),(123,1),(130,1),(132,1)}
       112:{2,4,7}:{(88,1),(89,1),(91,1),(131,1)}
       113:{3,4,5,7}:{(90,1),(91,1),(125,1),(132,1),(133,1)}
       114:{2,4,6}:{(92,1),(93,1),(94,1),(134,1),(135,1)}
       115:{2,3,7}:{(93,1),(95,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(96,1),(130,1),(134,1),(136,1),(157,1)}
       117:{1,3,4,7}:{(94,1),(95,1),(97,1),(131,1),(135,1),(136,1),(158,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(132,1),(136,1),(137,1)}
       119:{2,4,5,7}:{(98,1),(99,1),(107,1),(138,1),(139,1),(147,1),(164,1)}
       120:{2,3,6}:{(98,1),(100,1),(139,1)}
       121:{1,4,6}:{(99,1),(100,1),(102,1),(139,1),(141,1)}
       122:{1,3,6,7}:{(100,1),(101,1),(103,1),(110,1),(140,1),(142,1)}
       123:{2,5,6}:{(102,1),(104,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(102,1),(103,1),(105,1),(112,1),(142,1),(143,1)}
       125:{3,5,7}:{(104,1),(105,1),(106,1),(143,1)}
       126:{4,5,6,7}:{(106,1),(144,1)}
       127:{3,4,5}:{(107,1),(145,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1),(147,1)}
       129:{2,3,5,7}:{(108,1),(110,1),(115,1),(140,1),(147,1),(150,1),(164,1),(166,1)}
       130:{1,4,5,6}:{(109,1),(111,1),(116,1),(141,1),(146,1),(148,1)}
       131:{1,4,7}:{(109,1),(110,1),(112,1),(147,1)}
       132:{2,4,5,7}:{(111,1),(112,1),(113,1),(118,1),(143,1),(148,1),(149,1)}
       133:{3,4,6,7}:{(113,1),(144,1),(149,1)}
       134:{2,5,6}:{(114,1),(116,1),(150,1)}
       135:{2,4,7}:{(114,1),(115,1),(117,1),(150,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(148,1),(150,1),(151,1),(166,1)}
       137:{2,3,6,7}:{(118,1),(149,1),(151,1)}
       138:{3,4,5,7}:{(119,1),(127,1),(152,1),(158,1),(169,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(152,1),(153,1)}
       140:{2,3,6,7}:{(120,1),(122,1),(129,1),(154,1),(161,1),(171,1)}
       141:{1,5,6}:{(121,1),(123,1),(153,1),(155,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(131,1),(154,1),(155,1)}
       143:{2,5,7}:{(123,1),(124,1),(125,1),(155,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(133,1),(156,1)}
       145:{3,4,6}:{(127,1),(128,1),(157,1),(158,1)}
       146:{2,4,5,6}:{(128,1),(130,1),(134,1),(153,1),(157,1),(159,1),(168,1)}
       147:{2,4,7}:{(128,1),(129,1),(131,1),(158,1)}
       148:{1,4,5,7}:{(130,1),(131,1),(132,1),(136,1),(155,1),(159,1),(160,1)}
       149:{2,4,6,7}:{(132,1),(133,1),(137,1),(156,1),(160,1)}
       150:{2,5,7}:{(134,1),(135,1),(136,1),(161,1)}
       151:{1,3,6,7}:{(136,1),(137,1),(160,1),(161,1),(171,1)}
       152:{3,4,6}:{(138,1),(139,1),(162,1)}
       153:{2,5,6}:{(139,1),(141,1),(162,1),(164,1)}
       154:{2,4,6,7}:{(139,1),(140,1),(142,1),(147,1),(163,1),(164,1)}
       155:{1,5,7}:{(141,1),(142,1),(143,1),(164,1)}
       156:{2,5,6,7}:{(143,1),(144,1),(149,1),(165,1)}
       157:{3,5,6}:{(145,1),(146,1),(166,1)}
       158:{3,4,7}:{(145,1),(147,1),(166,1)}
       159:{2,4,5,7}:{(146,1),(147,1),(148,1),(150,1),(164,1),(166,1),(167,1),(172,1)}
       160:{1,4,6,7}:{(148,1),(149,1),(151,1),(165,1),(167,1)}
       161:{2,6,7}:{(150,1),(151,1)}
       162:{3,5,6}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(154,1),(158,1),(169,1),(171,1),(174,1)}
       164:{2,5,7}:{(153,1),(154,1),(155,1),(169,1)}
       165:{1,5,6,7}:{(155,1),(156,1),(160,1),(170,1)}
       166:{3,5,7}:{(157,1),(158,1),(159,1),(171,1)}
       167:{2,4,6,7}:{(159,1),(160,1),(161,1),(170,1),(171,1),(174,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(164,1),(172,1)}
       170:{2,5,6,7}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,6,7}:{(166,1),(167,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2730 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(61,1),(63,1),(148,1),(149,1),(231,1),(237,1),(255,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(41,1),(42,1),(87,1),(98,1),(184,1)}
         2:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(42,1),(48,1),(99,1),(111,1),(116,1),(200,1),(214,1),(217,1),(286,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(11,1),(103,1),(202,1),(282,1),(289,1)}
         4:{2,4,5,6,7}:{(14,1),(15,1),(57,1),(58,1),(232,1),(329,1)}
         5:{1,2,3,6}:{(1,1),(18,1),(73,1),(236,1)}
         6:{1,2,4,7}:{(1,1),(18,1),(19,1),(144,1)}
         7:{3,4,5,6}:{(21,1),(22,1),(253,1),(327,1)}
         8:{2,3,5,6}:{(3,1),(21,1),(24,1),(25,1),(327,1),(332,1)}
         9:{2,3,4,7}:{(19,1),(23,1),(26,1),(145,1),(168,1)}
        10:{2,4,5,7}:{(2,1),(26,1),(27,1),(77,1),(79,1),(146,1),(168,1),(252,1)}
        11:{1,3,4,6}:{(2,1),(3,1),(24,1),(27,1),(73,1),(161,1),(165,1),(330,1)}
        12:{2,3,4,6,7}:{(3,1),(25,1),(28,1),(58,1),(133,1),(148,1),(152,1),(255,1),(328,1),(333,1)}
        13:{1,2,3,6,7}:{(5,1),(30,1),(31,1),(87,1),(115,1),(170,1),(188,1),(288,1),(290,1),(360,1)}
        14:{1,4,5,6,7}:{(4,1),(29,1),(32,1),(93,1),(94,1),(179,1),(293,1)}
        15:{3,5,6,7}:{(4,1),(33,1),(283,1),(363,1)}
        16:{1,2,3,5,6}:{(5,1),(30,1),(37,1),(41,1),(92,1),(98,1),(108,1),(112,1),(170,1),(188,1),(207,1),(209,1),(269,1),(298,1),(351,1)}
        17:{1,3,4,5,6}:{(7,1),(38,1),(39,1),(44,1),(82,1),(106,1),(117,1),(172,1),(211,1),(274,1),(291,1)}
        18:{1,2,4,6}:{(5,1),(6,1),(40,1),(41,1)}
        19:{1,3,4,7}:{(6,1),(9,1),(36,1),(40,1),(42,1),(196,1),(214,1)}
        20:{1,2,4,5,7}:{(6,1),(10,1),(41,1),(42,1),(43,1),(102,1),(111,1),(113,1),(184,1),(197,1),(214,1),(286,1),(299,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(44,1),(45,1),(202,1)}
        22:{3,4,5,7}:{(7,1),(33,1),(45,1),(303,1),(363,1)}
        23:{2,3,4,6}:{(9,1),(40,1),(46,1),(50,1),(119,1)}
        24:{1,3,5,6}:{(8,1),(11,1),(44,1),(47,1),(48,1),(117,1),(365,1)}
        25:{2,3,5,7}:{(8,1),(12,1),(45,1),(48,1),(363,1),(367,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(42,1),(46,1),(50,1),(198,1),(301,1)}
        27:{2,4,6}:{(10,1),(11,1),(47,1),(50,1)}
        28:{1,3,4,6,7}:{(11,1),(12,1),(48,1),(51,1),(94,1),(115,1),(186,1),(193,1),(200,1),(214,1),(217,1),(366,1)}
        29:{2,4,5,6,7}:{(14,1),(52,1),(57,1),(128,1),(141,1),(246,1)}
        30:{1,2,3,5,7}:{(13,1),(16,1),(53,1),(56,1),(134,1),(162,1),(259,1),(261,1),(340,1),(380,1)}
        31:{1,2,4,6,7}:{(13,1),(18,1),(53,1),(55,1),(56,1),(131,1),(135,1),(220,1),(236,1),(333,1)}
        32:{1,3,5,6,7}:{(14,1),(15,1),(52,1),(54,1),(57,1),(334,1)}
        33:{3,4,6,7}:{(15,1),(22,1),(58,1)}
        34:{2,3,4,6,7}:{(23,1),(55,1),(59,1),(81,1),(132,1),(142,1),(168,1),(238,1),(245,1),(313,1),(333,1),(385,1),(413,1)}
        35:{2,3,5,6,7}:{(15,1),(25,1),(57,1),(58,1),(60,1),(133,1)}
        36:{2,3,4,7}:{(19,1),(62,1),(63,1),(247,1),(255,1)}
        37:{1,2,4,6}:{(16,1),(53,1),(66,1),(67,1),(144,1),(161,1),(260,1),(379,1)}
        38:{2,4,5,6}:{(17,1),(65,1),(68,1),(69,1),(156,1),(260,1),(332,1)}
        39:{1,3,4,5,7}:{(17,1),(22,1),(54,1),(69,1),(76,1),(124,1),(157,1),(166,1),(225,1),(263,1),(320,1),(334,1)}
        40:{1,3,4,6}:{(18,1),(19,1),(23,1),(62,1),(70,1),(73,1),(161,1)}
        41:{1,2,5}:{(18,1),(70,1)}
        42:{1,3,5,7}:{(19,1),(20,1),(26,1),(63,1),(70,1),(73,1),(248,1),(340,1)}
        43:{1,2,4,6}:{(20,1),(27,1),(71,1),(73,1),(151,1),(161,1),(236,1),(330,1)}
        44:{1,4,5,6}:{(21,1),(24,1),(75,1),(76,1),(161,1)}
        45:{2,4,5,7}:{(21,1),(22,1),(25,1),(58,1),(76,1),(255,1)}
        46:{2,3,5}:{(23,1),(70,1),(77,1)}
        47:{2,5,6}:{(24,1),(27,1),(79,1)}
        48:{1,3,5,7}:{(24,1),(25,1),(28,1),(76,1),(79,1),(166,1),(390,1)}
        49:{2,3,4,5,7}:{(26,1),(72,1),(77,1),(80,1),(140,1),(168,1),(169,1),(237,1),(250,1),(342,1)}
        50:{2,3,6}:{(26,1),(27,1),(73,1)}
        51:{2,4,6,7}:{(27,1),(28,1),(79,1),(81,1),(168,1),(239,1),(252,1)}
        52:{3,5,6,7}:{(29,1),(84,1),(193,1),(294,1)}
        53:{1,2,4,7}:{(30,1),(37,1),(88,1),(214,1),(309,1),(401,1)}
        54:{1,3,4,6,7}:{(32,1),(33,1),(39,1),(84,1),(90,1),(94,1),(179,1),(186,1),(193,1),(283,1)}
        55:{1,3,4,6,7}:{(31,1),(34,1),(40,1),(85,1),(88,1),(91,1),(115,1),(183,1),(188,1),(190,1),(214,1),(268,1),(287,1),(360,1),(366,1),(401,1)}
        56:{1,2,5,7}:{(31,1),(41,1),(91,1),(92,1),(269,1),(367,1)}
        57:{2,5,6,7}:{(32,1),(90,1),(93,1),(367,1)}
        58:{2,4,6,7}:{(33,1),(35,1),(45,1),(94,1)}
        59:{2,3,5,7}:{(34,1),(46,1),(91,1),(95,1),(96,1),(294,1),(349,1),(367,1)}
        60:{1,3,5,6,7}:{(35,1),(48,1),(93,1),(94,1),(97,1),(186,1),(193,1)}
        61:{2,3,4,5}:{(99,1),(100,1),(116,1),(208,1),(273,1),(296,1)}
        62:{2,3,4,6}:{(36,1),(40,1),(101,1),(103,1),(202,1)}
        63:{2,3,5,7}:{(36,1),(42,1),(101,1),(102,1),(103,1),(296,1),(370,1)}
        64:{1,2,3,6}:{(87,1),(98,1),(104,1),(298,1)}
        65:{2,3,5,6}:{(38,1),(100,1),(106,1),(107,1),(117,1),(274,1)}
        66:{1,3,4,6}:{(37,1),(88,1),(105,1),(108,1),(188,1),(196,1),(298,1)}
        67:{1,2,4,5}:{(37,1),(41,1),(108,1),(111,1),(208,1),(269,1),(350,1)}
        68:{1,4,5,6}:{(38,1),(106,1),(110,1),(306,1),(365,1)}
        69:{2,4,5,7}:{(38,1),(39,1),(90,1),(107,1),(110,1),(210,1),(309,1),(367,1)}
        70:{1,3,5}:{(40,1),(41,1),(46,1),(101,1),(111,1)}
        71:{1,2,5,6}:{(41,1),(43,1),(47,1),(112,1),(113,1),(204,1),(365,1)}
        72:{1,3,4,5,7}:{(42,1),(49,1),(102,1),(111,1),(114,1),(201,1),(214,1),(215,1),(286,1),(297,1),(303,1),(372,1)}
        73:{1,3,6}:{(42,1),(43,1),(50,1),(103,1)}
        74:{1,2,4,6,7}:{(43,1),(51,1),(113,1),(115,1),(205,1),(214,1),(288,1),(299,1),(366,1)}
        75:{2,4,5,6}:{(44,1),(47,1),(117,1),(118,1),(119,1)}
        76:{1,4,5,7}:{(44,1),(45,1),(48,1),(94,1),(118,1),(214,1)}
        77:{2,4,5}:{(46,1),(111,1),(116,1),(119,1)}
        78:{2,3,5,6}:{(46,1),(47,1),(50,1),(112,1),(117,1),(119,1),(120,1)}
        79:{2,5,7}:{(47,1),(48,1),(51,1)}
        80:{2,3,4,6}:{(49,1),(50,1),(114,1),(119,1),(121,1),(192,1),(289,1)}
        81:{2,3,6,7}:{(50,1),(51,1),(115,1),(120,1),(193,1),(301,1)}
        82:{3,4,5,6}:{(123,1),(124,1),(244,1),(411,1)}
        83:{2,3,4,5,7}:{(61,1),(126,1),(127,1),(140,1),(148,1),(223,1),(237,1),(321,1),(377,1),(413,1)}
        84:{3,4,6,7}:{(52,1),(124,1),(128,1)}
        85:{2,3,4,6,7}:{(55,1),(62,1),(129,1),(132,1),(152,1),(221,1),(233,1),(238,1),(255,1),(326,1),(328,1),(333,1),(382,1)}
        86:{2,3,5,6,7}:{(52,1),(57,1),(128,1),(130,1),(133,1),(223,1)}
        87:{1,2,3,7}:{(64,1),(131,1),(340,1)}
        88:{1,3,4,7}:{(53,1),(66,1),(132,1),(134,1),(340,1)}
        89:{1,2,4,5,7}:{(53,1),(56,1),(67,1),(134,1),(135,1),(137,1),(237,1)}
        90:{2,4,6,7}:{(54,1),(57,1),(69,1),(133,1),(136,1),(239,1)}
        91:{1,3,5,7}:{(55,1),(56,1),(59,1),(70,1),(129,1),(137,1),(138,1),(314,1),(390,1)}
        92:{1,2,5,6}:{(56,1),(135,1),(138,1),(236,1),(332,1)}
        93:{1,5,6,7}:{(57,1),(136,1),(390,1)}
        94:{1,4,6,7}:{(58,1),(60,1),(76,1),(141,1)}
        95:{2,4,5,7}:{(59,1),(77,1),(137,1),(140,1),(142,1),(168,1),(377,1),(413,1)}
        96:{2,3,5,6}:{(59,1),(138,1),(142,1),(238,1),(244,1),(332,1)}
        97:{2,5,6,7}:{(60,1),(79,1),(141,1),(239,1)}
        98:{1,2,3,5}:{(64,1),(144,1),(154,1),(248,1)}
        99:{1,3,4,5}:{(61,1),(146,1),(147,1),(248,1),(257,1)}
       100:{2,3,4,6}:{(61,1),(65,1),(147,1),(148,1),(165,1),(260,1),(319,1),(338,1)}
       101:{2,3,5}:{(62,1),(70,1),(149,1)}
       102:{2,4,5,7}:{(63,1),(72,1),(149,1),(151,1),(255,1),(256,1),(337,1),(393,1)}
       103:{2,3,6}:{(63,1),(73,1),(151,1)}
       104:{1,2,4,6}:{(64,1),(131,1),(144,1),(153,1),(154,1),(236,1)}
       105:{2,3,4,6}:{(66,1),(132,1),(145,1),(153,1),(155,1),(238,1),(247,1),(251,1),(260,1),(338,1)}
       106:{1,3,5,6}:{(65,1),(68,1),(147,1),(156,1),(157,1)}
       107:{2,3,5,7}:{(65,1),(69,1),(133,1),(148,1),(157,1),(166,1),(320,1)}
       108:{1,3,5}:{(66,1),(67,1),(155,1)}
       109:{1,2,4,5,6}:{(67,1),(68,1),(71,1),(75,1),(135,1),(156,1),(159,1),(160,1),(161,1),(224,1),(242,1),(249,1),(254,1),(260,1),(315,1),(332,1),(345,1),(379,1),(392,1),(412,1)}
       110:{1,4,5,7}:{(68,1),(69,1),(136,1),(157,1),(346,1),(390,1)}
       111:{1,4,5}:{(70,1),(77,1),(149,1),(161,1)}
       112:{1,3,5,6}:{(70,1),(71,1),(73,1),(78,1),(150,1),(161,1),(162,1)}
       113:{1,2,5,7}:{(71,1),(74,1),(79,1),(162,1),(256,1),(390,1)}
       114:{1,3,4,6}:{(72,1),(73,1),(80,1),(151,1),(161,1),(163,1),(253,1),(330,1)}
       115:{1,3,6,7}:{(73,1),(74,1),(81,1),(152,1),(162,1),(340,1)}
       116:{3,4,5}:{(77,1),(165,1)}
       117:{3,5,6}:{(75,1),(165,1),(166,1)}
       118:{2,4,5,7}:{(75,1),(76,1),(79,1),(141,1),(166,1),(168,1)}
       119:{2,4,6}:{(77,1),(78,1),(161,1),(165,1),(168,1)}
       120:{2,3,5,7}:{(78,1),(79,1),(81,1),(162,1),(166,1),(168,1)}
       121:{2,3,5,6}:{(80,1),(163,1),(167,1),(169,1),(244,1),(332,1)}
       122:{2,3,4,6,7}:{(80,1),(81,1),(164,1),(168,1),(169,1),(245,1),(267,1),(333,1),(342,1),(395,1)}
       123:{2,4,5,6}:{(82,1),(171,1),(172,1),(173,1),(398,1)}
       124:{3,4,5,7}:{(82,1),(84,1),(173,1),(294,1),(420,1)}
       125:{1,2,3,5,7}:{(87,1),(98,1),(170,1),(174,1),(184,1),(269,1),(277,1)}
       126:{1,3,4,5,7}:{(83,1),(99,1),(176,1),(177,1),(200,1),(272,1),(273,1),(277,1),(286,1),(350,1),(356,1),(401,1)}
       127:{2,3,4,6}:{(83,1),(171,1),(177,1),(192,1),(289,1),(358,1),(398,1)}
       128:{2,4,6,7}:{(84,1),(86,1),(173,1),(179,1)}
       129:{2,3,5,7}:{(85,1),(91,1),(101,1),(180,1),(181,1),(270,1),(363,1),(367,1)}
       130:{1,3,5,6,7}:{(86,1),(93,1),(179,1),(182,1),(186,1),(272,1),(283,1)}
       131:{1,2,4,7}:{(87,1),(104,1),(183,1),(184,1)}
       132:{2,3,4,7}:{(88,1),(105,1),(183,1),(185,1),(301,1),(309,1),(370,1)}
       133:{2,3,6,7}:{(90,1),(107,1),(186,1),(193,1),(283,1)}
       134:{1,3,5,7}:{(88,1),(89,1),(108,1),(185,1),(188,1)}
       135:{1,2,4,6}:{(89,1),(92,1),(188,1),(190,1),(289,1)}
       136:{1,4,6,7}:{(90,1),(93,1),(110,1),(186,1)}
       137:{1,4,5,7}:{(91,1),(95,1),(111,1),(180,1),(190,1),(214,1),(350,1),(401,1)}
       138:{1,3,5,6}:{(91,1),(92,1),(96,1),(181,1),(188,1),(190,1),(287,1),(365,1)}
       139:{1,2,5,6,7}:{(92,1),(93,1),(97,1),(113,1),(182,1),(189,1),(191,1),(288,1),(305,1),(352,1),(367,1),(408,1),(423,1)}
       140:{3,4,5,7}:{(95,1),(116,1),(192,1),(217,1),(294,1),(397,1),(420,1)}
       141:{2,4,6,7}:{(94,1),(97,1),(118,1),(193,1)}
       142:{2,4,6}:{(95,1),(96,1),(190,1),(192,1)}
       143:{2,3,5,6,7}:{(96,1),(97,1),(120,1),(191,1),(193,1),(195,1),(290,1),(294,1),(367,1),(399,1),(423,1),(426,1)}
       144:{1,2,4}:{(98,1),(196,1)}
       145:{2,3,4}:{(196,1),(198,1)}
       146:{2,4,5}:{(99,1),(198,1),(199,1)}
       147:{1,3,4,6}:{(99,1),(100,1),(106,1),(199,1),(200,1),(298,1),(306,1)}
       148:{2,3,4,7}:{(100,1),(107,1),(200,1),(217,1),(309,1),(356,1),(370,1)}
       149:{2,4,5}:{(101,1),(111,1),(201,1),(202,1)}
       150:{2,3,5,6}:{(101,1),(103,1),(112,1),(202,1),(203,1),(204,1),(302,1)}
       151:{2,4,6}:{(102,1),(103,1),(114,1),(204,1)}
       152:{2,3,6,7}:{(103,1),(115,1),(203,1),(205,1),(370,1),(374,1)}
       153:{1,3,4,6}:{(104,1),(105,1),(183,1),(196,1),(206,1),(287,1),(298,1),(306,1)}
       154:{1,2,5}:{(104,1),(206,1)}
       155:{2,3,5}:{(105,1),(108,1),(206,1),(208,1)}
       156:{2,5,6}:{(106,1),(199,1),(210,1)}
       157:{1,3,5,7}:{(106,1),(107,1),(110,1),(186,1),(200,1),(210,1)}
       158:{1,3,4,5}:{(108,1),(111,1),(116,1),(201,1),(208,1),(211,1),(273,1),(350,1),(397,1)}
       159:{1,3,5,6}:{(108,1),(109,1),(117,1),(188,1),(209,1),(211,1),(212,1),(274,1),(298,1),(302,1),(419,1)}
       160:{1,2,4,5,7}:{(109,1),(110,1),(113,1),(118,1),(189,1),(210,1),(212,1),(214,1),(275,1),(293,1),(299,1),(304,1),(309,1),(352,1),(367,1),(375,1),(401,1),(409,1),(421,1)}
       161:{1,4,6}:{(111,1),(112,1),(119,1),(202,1),(214,1)}
       162:{1,3,5,7}:{(112,1),(113,1),(115,1),(120,1),(203,1),(214,1)}
       163:{1,3,5,6}:{(114,1),(121,1),(204,1),(213,1),(215,1),(302,1),(365,1)}
       164:{1,3,4,6,7}:{(114,1),(115,1),(122,1),(205,1),(214,1),(215,1),(303,1),(311,1),(366,1),(372,1),(374,1),(410,1)}
       165:{3,4,6}:{(116,1),(117,1),(119,1),(217,1)}
       166:{3,5,7}:{(117,1),(118,1),(193,1),(217,1)}
       167:{2,4,5,6}:{(119,1),(121,1),(213,1),(216,1),(218,1)}
       168:{2,4,7}:{(119,1),(120,1),(214,1),(217,1)}
       169:{2,3,5,7}:{(121,1),(122,1),(215,1),(218,1),(294,1),(367,1)}
       170:{1,2,3,6}:{(125,1),(220,1),(236,1),(323,1)}
       171:{2,3,5,6}:{(123,1),(127,1),(222,1),(223,1),(244,1),(332,1)}
       172:{1,4,5,6}:{(123,1),(222,1),(224,1),(225,1),(379,1)}
       173:{2,4,5,7}:{(123,1),(124,1),(128,1),(223,1),(225,1),(413,1)}
       174:{1,2,4,7}:{(125,1),(144,1),(220,1),(226,1)}
       175:{2,3,4,7}:{(145,1),(221,1),(226,1),(228,1),(382,1)}
       176:{2,4,5,7}:{(126,1),(146,1),(228,1),(229,1),(252,1),(316,1),(318,1),(382,1)}
       177:{1,3,4,6}:{(126,1),(127,1),(222,1),(229,1),(319,1),(323,1),(330,1),(379,1)}
       178:{2,3,4,6,7}:{(127,1),(128,1),(133,1),(148,1),(223,1),(230,1),(245,1),(333,1),(385,1),(413,1)}
       179:{1,4,6,7}:{(128,1),(130,1),(225,1),(232,1)}
       180:{2,4,5,7}:{(129,1),(137,1),(149,1),(231,1),(233,1),(255,1),(316,1),(382,1)}
       181:{2,3,5,6}:{(129,1),(138,1),(233,1),(238,1),(327,1),(332,1)}
       182:{2,5,6,7}:{(130,1),(232,1),(239,1),(318,1)}
       183:{1,3,4,7}:{(131,1),(132,1),(153,1),(235,1),(340,1),(346,1)}
       184:{1,2,5,7}:{(131,1),(154,1),(235,1),(236,1)}
       185:{2,3,5,7}:{(132,1),(134,1),(155,1),(235,1),(237,1),(238,1)}
       186:{1,3,6,7}:{(133,1),(136,1),(157,1),(239,1)}
       187:{1,3,4,5,7}:{(134,1),(137,1),(140,1),(158,1),(231,1),(237,1),(240,1),(263,1),(334,1)}
       188:{1,3,6}:{(134,1),(135,1),(238,1)}
       189:{1,2,4,6,7}:{(135,1),(136,1),(139,1),(141,1),(160,1),(232,1),(239,1),(241,1),(243,1),(333,1),(344,1),(396,1),(418,1),(425,1)}
       190:{1,4,6}:{(137,1),(138,1),(142,1),(233,1)}
       191:{1,3,5,6,7}:{(138,1),(139,1),(143,1),(162,1),(234,1),(241,1),(243,1),(331,1),(334,1),(380,1),(390,1)}
       192:{3,4,6}:{(140,1),(142,1),(244,1)}
       193:{3,6,7}:{(141,1),(166,1)}
       194:{2,4,5,6}:{(142,1),(242,1),(244,1),(246,1),(332,1)}
       195:{2,4,6,7}:{(142,1),(143,1),(168,1),(243,1),(245,1),(246,1),(413,1)}
       196:{1,3,4}:{(144,1),(145,1),(247,1),(248,1)}
       197:{1,2,4,5}:{(144,1),(146,1),(154,1),(248,1),(249,1),(257,1),(337,1)}
       198:{2,3,5}:{(145,1),(146,1),(248,1),(251,1)}
       199:{2,4,6}:{(146,1),(147,1),(156,1),(251,1),(252,1)}
       200:{1,3,4,7}:{(147,1),(148,1),(157,1),(252,1),(340,1),(346,1)}
       201:{3,4,5}:{(149,1),(253,1)}
       202:{2,4,6}:{(149,1),(150,1),(161,1),(253,1),(255,1)}
       203:{2,3,5,7}:{(150,1),(152,1),(162,1),(255,1),(256,1),(343,1)}
       204:{2,5,6}:{(151,1),(163,1),(256,1)}
       205:{2,4,6,7}:{(151,1),(152,1),(164,1),(255,1),(256,1),(393,1),(418,1)}
       206:{1,3,5}:{(153,1),(154,1),(155,1),(257,1)}
       207:{1,2,5,6}:{(154,1),(156,1),(236,1),(249,1),(258,1),(259,1),(392,1)}
       208:{2,4,5}:{(155,1),(158,1),(257,1),(260,1)}
       209:{2,3,5,6}:{(155,1),(156,1),(159,1),(238,1),(251,1),(258,1),(260,1),(261,1),(332,1),(338,1),(392,1)}
       210:{2,5,7}:{(156,1),(157,1),(239,1),(252,1)}
       211:{1,3,4,6}:{(158,1),(159,1),(161,1),(165,1),(253,1),(260,1),(263,1),(319,1),(379,1),(411,1)}
       212:{1,3,5,7}:{(159,1),(160,1),(166,1),(241,1),(261,1),(263,1),(320,1),(340,1),(343,1),(424,1)}
       213:{1,4,5,6}:{(161,1),(163,1),(167,1),(254,1),(264,1)}
       214:{1,4,7}:{(161,1),(162,1),(168,1),(255,1)}
       215:{1,3,5,7}:{(163,1),(164,1),(169,1),(256,1),(264,1),(343,1),(390,1)}
       216:{3,4,5,6}:{(165,1),(167,1),(244,1),(266,1)}
       217:{3,4,7}:{(165,1),(166,1),(168,1)}
       218:{2,4,5,7}:{(167,1),(168,1),(169,1),(264,1),(266,1),(267,1)}
       219:{2,3,5,6,7}:{(169,1),(265,1),(267,1),(336,1),(391,1),(395,1)}
       220:{1,2,4,6}:{(170,1),(174,1),(268,1),(269,1)}
       221:{2,3,4,6}:{(175,1),(268,1),(270,1),(280,1),(353,1)}
       222:{1,3,5,6}:{(171,1),(172,1),(177,1),(271,1),(272,1),(274,1),(365,1)}
       223:{2,3,5,7}:{(171,1),(173,1),(178,1),(272,1),(294,1),(367,1)}
       224:{2,4,5,6}:{(172,1),(271,1),(274,1),(275,1),(353,1)}
       225:{1,4,5,7}:{(172,1),(173,1),(179,1),(272,1),(275,1),(401,1)}
       226:{1,3,4,7}:{(174,1),(175,1),(196,1),(268,1),(276,1),(277,1),(401,1)}
       227:{1,2,4,5,7}:{(174,1),(176,1),(184,1),(197,1),(269,1),(277,1),(278,1),(286,1),(299,1),(350,1),(352,1),(357,1),(401,1)}
       228:{2,3,5,7}:{(175,1),(176,1),(198,1),(270,1),(277,1),(280,1),(301,1)}
       229:{2,4,6}:{(176,1),(177,1),(271,1),(280,1)}
       230:{1,3,4,6,7}:{(177,1),(178,1),(179,1),(186,1),(200,1),(272,1),(281,1),(283,1),(356,1),(360,1),(366,1),(401,1)}
       231:{3,4,5,7}:{(180,1),(201,1),(273,1),(282,1),(303,1),(356,1),(363,1)}
       232:{2,4,6,7}:{(179,1),(182,1),(275,1),(283,1)}
       233:{2,4,6}:{(180,1),(181,1),(190,1),(282,1)}
       234:{2,3,5,6,7}:{(181,1),(182,1),(191,1),(203,1),(283,1),(285,1),(290,1),(305,1),(354,1),(363,1),(367,1),(374,1)}
       235:{1,3,5,7}:{(183,1),(184,1),(185,1),(206,1),(286,1),(287,1)}
       236:{1,2,6}:{(184,1),(287,1)}
       237:{2,4,5,7}:{(185,1),(187,1),(208,1),(286,1),(289,1),(309,1),(367,1)}
       238:{2,3,6}:{(185,1),(188,1),(287,1),(289,1)}
       239:{2,6,7}:{(186,1),(210,1)}
       240:{1,3,4,6}:{(187,1),(188,1),(190,1),(192,1),(282,1),(289,1),(291,1)}
       241:{1,3,6,7}:{(188,1),(189,1),(193,1),(212,1),(283,1),(290,1),(374,1),(426,1)}
       242:{1,4,5,6}:{(190,1),(194,1),(284,1),(291,1),(293,1),(365,1)}
       243:{1,4,6,7}:{(190,1),(191,1),(195,1),(214,1),(285,1),(293,1),(401,1)}
       244:{3,5,6}:{(192,1),(194,1),(294,1)}
       245:{3,4,6,7}:{(192,1),(193,1),(195,1),(217,1),(294,1),(420,1),(426,1)}
       246:{2,4,5,7}:{(194,1),(195,1),(293,1),(294,1),(367,1)}
       247:{2,3,4}:{(196,1),(296,1)}
       248:{1,3,5}:{(196,1),(197,1),(198,1),(296,1),(298,1)}
       249:{1,2,4,6}:{(197,1),(199,1),(207,1),(298,1),(299,1),(306,1),(369,1)}
       250:{2,3,4,5}:{(198,1),(201,1),(208,1),(297,1),(300,1),(397,1)}
       251:{2,3,6}:{(198,1),(199,1),(298,1),(301,1)}
       252:{2,4,7}:{(199,1),(200,1),(210,1),(301,1)}
       253:{3,4,6}:{(201,1),(202,1),(302,1),(303,1)}
       254:{2,4,5,6}:{(202,1),(204,1),(213,1),(302,1),(304,1)}
       255:{2,4,7}:{(202,1),(203,1),(214,1),(303,1)}
       256:{2,5,7}:{(204,1),(205,1),(215,1)}
       257:{1,4,5}:{(206,1),(208,1),(306,1)}
       258:{1,3,5,6}:{(206,1),(207,1),(209,1),(287,1),(298,1),(306,1),(307,1),(365,1)}
       259:{1,2,5,7}:{(207,1),(210,1),(288,1),(299,1),(307,1),(409,1)}
       260:{2,4,6}:{(208,1),(209,1),(211,1),(306,1),(309,1)}
       261:{2,3,5,7}:{(209,1),(210,1),(212,1),(290,1),(301,1),(307,1),(309,1),(367,1),(370,1),(409,1)}
       262:{1,3,4,5,6}:{(211,1),(213,1),(216,1),(291,1),(302,1),(308,1),(310,1),(355,1),(371,1),(400,1),(419,1)}
       263:{1,3,4,7}:{(211,1),(212,1),(214,1),(217,1),(303,1),(309,1),(356,1),(401,1),(420,1)}
       264:{1,4,5,7}:{(213,1),(214,1),(215,1),(218,1),(304,1),(311,1)}
       265:{1,3,5,6,7}:{(215,1),(219,1),(305,1),(311,1),(374,1),(408,1),(410,1)}
       266:{3,4,5,7}:{(216,1),(217,1),(218,1),(294,1),(312,1)}
       267:{2,4,6,7}:{(218,1),(219,1),(311,1),(312,1)}
       268:{1,3,4,6}:{(220,1),(221,1),(226,1),(313,1),(314,1),(323,1),(379,1)}
       269:{1,2,5}:{(220,1),(314,1)}
       270:{2,3,5}:{(221,1),(314,1),(316,1)}
       271:{2,5,6}:{(222,1),(229,1),(318,1)}
       272:{1,3,5,7}:{(222,1),(223,1),(225,1),(230,1),(318,1),(320,1),(390,1)}
       273:{3,4,5}:{(316,1),(319,1)}
       274:{3,5,6}:{(224,1),(319,1),(320,1)}
       275:{2,4,5,7}:{(224,1),(225,1),(232,1),(318,1),(320,1),(382,1)}
       276:{2,3,4,7}:{(226,1),(247,1),(313,1),(321,1),(413,1)}
       277:{1,3,5,7}:{(226,1),(227,1),(228,1),(248,1),(314,1),(321,1),(323,1),(340,1)}
       278:{1,2,4,6}:{(227,1),(229,1),(236,1),(315,1),(323,1),(330,1),(379,1),(384,1)}
       279:{2,3,4,5,7}:{(228,1),(231,1),(237,1),(250,1),(316,1),(322,1),(325,1),(342,1),(382,1),(388,1)}
       280:{2,3,6}:{(228,1),(229,1),(323,1)}
       281:{2,4,6,7}:{(229,1),(230,1),(239,1),(252,1),(318,1),(326,1),(382,1)}
       282:{3,4,6}:{(231,1),(233,1),(327,1)}
       283:{3,6,7}:{(232,1),(320,1)}
       284:{2,4,5,6}:{(233,1),(242,1),(327,1),(329,1),(332,1)}
       285:{2,4,6,7}:{(233,1),(234,1),(243,1),(255,1),(328,1),(329,1),(382,1)}
       286:{1,4,5,7}:{(235,1),(237,1),(257,1),(330,1),(346,1),(390,1)}
       287:{1,3,6}:{(235,1),(236,1),(238,1),(330,1)}
       288:{1,2,6,7}:{(236,1),(239,1),(259,1),(331,1),(418,1)}
       289:{2,4,6}:{(237,1),(238,1),(240,1),(330,1),(332,1)}
       290:{2,3,6,7}:{(238,1),(239,1),(241,1),(261,1),(331,1),(333,1),(418,1)}
       291:{1,3,5,6}:{(240,1),(242,1),(244,1),(327,1),(332,1),(334,1)}
       292:{1,3,4,6,7}:{(240,1),(241,1),(243,1),(245,1),(263,1),(328,1),(333,1),(334,1)}
       293:{1,4,5,7}:{(242,1),(243,1),(246,1),(329,1),(334,1),(390,1)}
       294:{3,5,7}:{(244,1),(245,1),(246,1)}
       295:{2,4,5,6,7}:{(246,1),(267,1),(335,1),(336,1),(391,1),(425,1)}
       296:{2,3,5}:{(247,1),(248,1),(337,1),(338,1)}
       297:{1,3,4,5}:{(248,1),(250,1),(257,1),(337,1),(339,1)}
       298:{1,3,6}:{(248,1),(249,1),(251,1),(338,1),(340,1)}
       299:{1,2,4,7}:{(249,1),(252,1),(259,1),(340,1),(346,1),(393,1)}
       300:{2,3,4,6}:{(250,1),(251,1),(253,1),(260,1),(339,1),(341,1),(342,1),(411,1)}
       301:{2,3,7}:{(251,1),(252,1),(340,1)}
       302:{3,5,6}:{(253,1),(254,1),(343,1)}
       303:{3,4,7}:{(253,1),(255,1),(343,1)}
       304:{2,4,5,7}:{(254,1),(255,1),(256,1),(264,1),(343,1),(344,1)}
       305:{2,5,6,7}:{(256,1),(265,1),(344,1),(418,1)}
       306:{1,4,6}:{(257,1),(258,1),(260,1),(346,1)}
       307:{1,3,5,7}:{(258,1),(259,1),(261,1),(331,1),(340,1),(346,1),(390,1)}
       308:{2,4,5,6}:{(260,1),(262,1),(332,1),(341,1),(345,1),(347,1),(392,1)}
       309:{2,4,7}:{(260,1),(261,1),(263,1),(346,1)}
       310:{1,3,4,5,7}:{(262,1),(263,1),(264,1),(266,1),(334,1),(343,1),(347,1),(348,1),(383,1),(394,1),(414,1),(424,1)}
       311:{1,4,6,7}:{(264,1),(265,1),(267,1),(344,1)}
       312:{3,4,6,7}:{(266,1),(267,1),(336,1)}
       313:{2,3,4,6}:{(268,1),(276,1),(349,1),(358,1),(398,1)}
       314:{1,3,5}:{(268,1),(269,1),(270,1),(349,1),(350,1)}
       315:{1,2,5,6}:{(269,1),(271,1),(278,1),(351,1),(352,1),(365,1),(404,1)}
       316:{2,4,5}:{(270,1),(273,1),(350,1),(353,1)}
       317:{2,3,5,6}:{(270,1),(271,1),(274,1),(280,1),(351,1),(353,1),(354,1)}
       318:{2,5,7}:{(271,1),(272,1),(281,1)}
       319:{3,4,6}:{(273,1),(274,1),(353,1),(356,1)}
       320:{3,5,7}:{(274,1),(275,1),(283,1),(356,1)}
       321:{2,3,5,7}:{(276,1),(277,1),(296,1),(349,1),(357,1),(358,1),(370,1)}
       322:{1,3,4,5,7}:{(277,1),(279,1),(286,1),(297,1),(350,1),(357,1),(359,1),(372,1),(397,1),(401,1),(406,1),(420,1)}
       323:{1,3,6}:{(277,1),(278,1),(280,1),(358,1)}
       324:{1,2,4,6,7}:{(278,1),(281,1),(288,1),(299,1),(352,1),(360,1),(366,1),(401,1),(405,1)}
       325:{2,3,4,6}:{(279,1),(280,1),(282,1),(289,1),(353,1),(359,1),(361,1)}
       326:{2,3,6,7}:{(280,1),(281,1),(283,1),(301,1),(354,1),(360,1)}
       327:{3,5,6}:{(282,1),(284,1),(363,1)}
       328:{3,4,6,7}:{(282,1),(283,1),(285,1),(303,1),(356,1),(363,1),(374,1)}
       329:{2,4,5,7}:{(284,1),(285,1),(293,1),(363,1),(367,1)}
       330:{1,4,6}:{(286,1),(287,1),(289,1),(365,1)}
       331:{1,3,6,7}:{(287,1),(288,1),(290,1),(307,1),(366,1)}
       332:{2,5,6}:{(289,1),(291,1),(365,1),(367,1)}
       333:{2,4,6,7}:{(289,1),(290,1),(292,1),(309,1),(366,1),(367,1)}
       334:{1,3,5,7}:{(291,1),(292,1),(293,1),(294,1),(363,1),(367,1)}
       335:{1,4,5,6,7}:{(293,1),(295,1),(311,1),(364,1),(368,1),(408,1),(422,1)}
       336:{3,5,6,7}:{(294,1),(295,1),(312,1),(426,1)}
       337:{2,4,5}:{(296,1),(297,1),(369,1)}
       338:{2,3,6}:{(296,1),(298,1),(369,1),(370,1)}
       339:{1,3,4,6}:{(297,1),(298,1),(300,1),(306,1),(369,1),(371,1),(372,1)}
       340:{1,3,7}:{(298,1),(299,1),(301,1),(370,1)}
       341:{2,3,5,6}:{(300,1),(302,1),(308,1),(371,1),(373,1),(419,1)}
       342:{2,3,4,7}:{(300,1),(301,1),(303,1),(309,1),(372,1),(373,1),(420,1)}
       343:{3,5,7}:{(302,1),(303,1),(304,1),(374,1)}
       344:{2,4,6,7}:{(304,1),(305,1),(311,1),(374,1)}
       345:{1,4,5,6}:{(306,1),(308,1),(365,1),(371,1),(375,1)}
       346:{1,4,7}:{(306,1),(307,1),(309,1)}
       347:{2,4,5,7}:{(308,1),(309,1),(310,1),(367,1),(373,1),(375,1),(376,1),(409,1)}
       348:{1,3,4,6,7}:{(310,1),(311,1),(312,1),(368,1),(374,1),(376,1),(403,1),(410,1),(422,1),(426,1)}
       349:{2,3,5}:{(313,1),(314,1),(377,1)}
       350:{1,4,5}:{(314,1),(316,1),(377,1),(379,1)}
       351:{1,3,5,6}:{(314,1),(315,1),(317,1),(323,1),(378,1),(379,1),(380,1)}
       352:{1,2,5,7}:{(315,1),(318,1),(324,1),(380,1),(390,1),(416,1)}
       353:{2,4,6}:{(316,1),(317,1),(319,1),(379,1),(382,1)}
       354:{2,3,5,7}:{(317,1),(318,1),(320,1),(326,1),(380,1),(382,1)}
       355:{3,4,5,6}:{(319,1),(327,1),(381,1),(383,1)}
       356:{3,4,7}:{(319,1),(320,1),(382,1)}
       357:{2,4,5,7}:{(321,1),(322,1),(337,1),(377,1),(384,1),(393,1),(413,1),(416,1)}
       358:{2,3,6}:{(321,1),(323,1),(384,1)}
       359:{1,3,4,6}:{(322,1),(323,1),(325,1),(330,1),(379,1),(384,1),(386,1),(411,1)}
       360:{1,3,6,7}:{(323,1),(324,1),(326,1),(340,1),(380,1),(385,1)}
       361:{2,3,5,6}:{(325,1),(327,1),(332,1),(381,1),(386,1),(388,1)}
       362:{2,3,4,6,7}:{(325,1),(326,1),(328,1),(333,1),(342,1),(382,1),(387,1),(388,1),(395,1),(415,1)}
       363:{3,5,7}:{(327,1),(328,1),(329,1)}
       364:{2,4,5,6,7}:{(329,1),(335,1),(344,1),(389,1),(391,1),(415,1)}
       365:{1,5,6}:{(330,1),(332,1),(390,1)}
       366:{1,4,6,7}:{(330,1),(331,1),(333,1),(346,1),(390,1)}
       367:{2,5,7}:{(332,1),(333,1),(334,1),(390,1)}
       368:{1,3,5,6,7}:{(334,1),(335,1),(336,1),(348,1),(389,1),(391,1)}
       369:{2,4,6}:{(337,1),(338,1),(339,1),(392,1),(393,1)}
       370:{2,3,7}:{(338,1),(340,1),(393,1)}
       371:{1,3,5,6}:{(339,1),(341,1),(345,1),(392,1),(394,1)}
       372:{1,3,4,7}:{(339,1),(340,1),(342,1),(346,1),(393,1),(394,1)}
       373:{2,3,5,7}:{(341,1),(342,1),(343,1),(347,1),(394,1),(395,1),(424,1)}
       374:{3,6,7}:{(343,1),(344,1)}
       375:{1,4,5,7}:{(345,1),(346,1),(347,1),(390,1),(394,1),(396,1)}
       376:{2,4,6,7}:{(347,1),(348,1),(391,1),(395,1),(396,1),(418,1)}
       377:{2,4,5}:{(349,1),(350,1),(397,1),(398,1)}
       378:{2,3,5,6}:{(349,1),(351,1),(358,1),(398,1),(399,1),(404,1),(419,1)}
       379:{1,4,6}:{(350,1),(351,1),(353,1),(398,1),(401,1)}
       380:{1,3,5,7}:{(351,1),(352,1),(354,1),(360,1),(399,1),(401,1)}
       381:{2,4,5,6}:{(353,1),(355,1),(361,1),(400,1),(402,1)}
       382:{2,4,7}:{(353,1),(354,1),(356,1),(401,1)}
       383:{3,4,5,7}:{(355,1),(356,1),(363,1),(402,1),(403,1)}
       384:{2,4,6}:{(357,1),(358,1),(359,1),(404,1)}
       385:{2,3,6,7}:{(358,1),(360,1),(370,1),(399,1),(405,1),(426,1)}
       386:{1,3,5,6}:{(359,1),(361,1),(365,1),(400,1),(404,1),(406,1),(419,1)}
       387:{1,3,4,6,7}:{(359,1),(360,1),(362,1),(366,1),(372,1),(401,1),(405,1),(406,1),(410,1),(420,1),(422,1),(426,1)}
       388:{2,3,5,7}:{(361,1),(362,1),(363,1),(367,1),(402,1),(406,1)}
       389:{3,5,6,7}:{(363,1),(364,1),(374,1),(403,1)}
       390:{1,5,7}:{(365,1),(366,1),(367,1)}
       391:{2,5,6,7}:{(367,1),(368,1),(376,1),(408,1)}
       392:{2,5,6}:{(369,1),(371,1),(409,1)}
       393:{2,4,7}:{(369,1),(370,1),(372,1),(409,1)}
       394:{1,3,5,7}:{(371,1),(372,1),(373,1),(375,1),(409,1),(410,1)}
       395:{2,3,6,7}:{(373,1),(374,1),(376,1),(410,1),(426,1)}
       396:{1,4,6,7}:{(375,1),(376,1),(408,1),(410,1)}
       397:{3,4,5}:{(377,1),(411,1)}
       398:{2,4,6}:{(377,1),(378,1),(379,1),(411,1),(413,1)}
       399:{2,3,5,7}:{(378,1),(380,1),(385,1),(413,1),(416,1),(424,1)}
       400:{1,4,5,6}:{(379,1),(381,1),(386,1),(412,1),(414,1)}
       401:{1,4,7}:{(379,1),(380,1),(382,1),(413,1)}
       402:{2,4,5,7}:{(381,1),(382,1),(383,1),(388,1),(414,1),(415,1)}
       403:{3,4,6,7}:{(383,1),(389,1),(415,1)}
       404:{2,5,6}:{(384,1),(386,1),(416,1)}
       405:{2,4,6,7}:{(384,1),(385,1),(387,1),(393,1),(413,1),(416,1),(418,1)}
       406:{1,3,5,7}:{(386,1),(387,1),(388,1),(390,1),(414,1),(416,1),(424,1)}
       407:{2,3,5,6,7}:{(388,1),(389,1),(391,1),(395,1),(415,1),(417,1)}
       408:{1,5,6,7}:{(390,1),(391,1),(396,1)}
       409:{2,5,7}:{(392,1),(393,1),(394,1),(418,1)}
       410:{1,3,6,7}:{(394,1),(395,1),(396,1),(418,1)}
       411:{3,4,6}:{(397,1),(398,1),(419,1),(420,1)}
       412:{2,4,5,6}:{(398,1),(400,1),(404,1),(419,1),(421,1)}
       413:{2,4,7}:{(398,1),(399,1),(401,1),(420,1)}
       414:{1,4,5,7}:{(400,1),(401,1),(402,1),(406,1),(421,1),(422,1)}
       415:{2,4,6,7}:{(402,1),(403,1),(407,1),(422,1)}
       416:{2,5,7}:{(404,1),(405,1),(406,1)}
       417:{1,3,5,6,7}:{(406,1),(407,1),(408,1),(410,1),(422,1),(423,1),(426,1)}
       418:{2,6,7}:{(409,1),(410,1)}
       419:{3,5,6}:{(411,1),(412,1),(424,1)}
       420:{3,4,7}:{(411,1),(413,1),(424,1)}
       421:{2,4,5,7}:{(412,1),(413,1),(414,1),(416,1),(424,1),(425,1)}
       422:{1,4,6,7}:{(414,1),(415,1),(417,1),(425,1)}
       423:{2,5,6,7}:{(416,1),(417,1),(418,1),(425,1)}
       424:{3,5,7}:{(419,1),(420,1),(421,1),(426,1)}
       425:{2,4,6,7}:{(421,1),(422,1),(423,1),(426,1)}
       426:{3,6,7}:{(424,1),(425,1)}

2731 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(16,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1),(18,1)}
       11:{1,2,5,6}:{(6,1),(17,1),(19,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{2,3,5,6}:{(8,1),(17,1),(20,1),(21,1)}
       14:{2,3,4,7}:{(8,1),(18,1),(21,1)}
       15:{3,4,5,6}:{(20,1),(22,1)}
       16:{2,3,4,6}:{(9,1),(10,1),(23,1),(24,1)}
       17:{1,3,5,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
       18:{1,3,4,7}:{(10,1),(12,1),(14,1),(24,1),(26,1)}
       19:{1,2,5,7}:{(11,1),(12,1),(26,1),(27,1)}
       20:{2,4,5,6}:{(13,1),(15,1),(25,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       22:{3,4,5,7}:{(15,1),(28,1),(30,1)}
       23:{2,3,5,6}:{(16,1),(17,1),(31,1),(32,1)}
       24:{2,3,4,7}:{(16,1),(18,1),(32,1)}
       25:{1,4,5,6}:{(17,1),(20,1),(31,1),(33,1)}
       26:{1,3,5,7}:{(17,1),(18,1),(19,1),(21,1),(32,1),(33,1),(34,1)}
       27:{1,2,6,7}:{(19,1),(34,1)}
       28:{2,4,5,7}:{(20,1),(21,1),(22,1),(33,1),(35,1)}
       29:{2,3,6,7}:{(21,1),(34,1),(35,1)}
       30:{3,4,6,7}:{(22,1),(35,1),(36,1)}
       31:{2,4,5,6}:{(23,1),(25,1),(37,1),(38,1)}
       32:{2,3,5,7}:{(23,1),(24,1),(26,1),(38,1),(39,1)}
       33:{1,4,5,7}:{(25,1),(26,1),(28,1),(38,1),(40,1)}
       34:{1,3,6,7}:{(26,1),(27,1),(29,1),(39,1),(40,1)}
       35:{2,4,6,7}:{(28,1),(29,1),(30,1),(40,1),(41,1)}
       36:{3,5,6,7}:{(30,1),(41,1),(42,1)}
       37:{3,4,5,6}:{(31,1),(43,1)}
       38:{2,4,5,7}:{(31,1),(32,1),(33,1),(43,1),(44,1)}
       39:{2,3,6,7}:{(32,1),(34,1),(44,1)}
       40:{1,4,6,7}:{(33,1),(34,1),(35,1),(44,1),(45,1)}
       41:{2,5,6,7}:{(35,1),(36,1),(45,1)}
       42:{4,5,6,7}:{(36,1)}
       43:{3,4,5,7}:{(37,1),(38,1),(46,1)}
       44:{2,4,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{1,5,6,7}:{(40,1),(41,1),(47,1)}
       46:{3,4,6,7}:{(43,1),(44,1),(48,1)}
       47:{2,5,6,7}:{(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2732 :   0:{2,3,4,5,7}:{(2,1),(3,1),(25,1),(50,1),(116,1),(143,1),(199,1),(206,1),(213,1),(237,1)}
         1:{1,2,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(168,1),(173,1),(265,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(34,1),(45,1),(92,1),(104,1),(176,1),(187,1),(189,1),(262,1),(283,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(81,1),(159,1),(248,1),(263,1)}
         4:{2,3,4,5,7}:{(12,1),(13,1),(20,1),(55,1),(68,1),(138,1),(145,1),(204,1),(213,1),(301,1)}
         5:{1,2,3,6}:{(1,1),(17,1),(60,1),(311,1)}
         6:{1,2,4,7}:{(1,1),(15,1),(17,1),(220,1)}
         7:{2,3,4,7}:{(15,1),(19,1),(20,1),(145,1),(234,1)}
         8:{2,4,5,7}:{(2,1),(20,1),(21,1),(68,1),(72,1),(145,1),(235,1),(325,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(21,1),(22,1),(60,1),(131,1),(144,1),(309,1)}
        10:{2,3,5,6}:{(3,1),(22,1),(24,1),(25,1),(291,1),(305,1)}
        11:{2,3,4,6,7}:{(3,1),(23,1),(25,1),(67,1),(118,1),(206,1),(232,1),(237,1),(295,1),(310,1)}
        12:{1,3,4,5,7}:{(4,1),(27,1),(28,1),(34,1),(85,1),(92,1),(158,1),(176,1),(252,1),(254,1),(262,1),(342,1)}
        13:{2,3,4,6}:{(4,1),(28,1),(29,1),(41,1),(105,1),(183,1),(263,1)}
        14:{1,2,3,6,7}:{(5,1),(31,1),(32,1),(94,1),(168,1),(171,1),(258,1),(267,1),(351,1),(402,1)}
        15:{1,3,4,7}:{(6,1),(7,1),(26,1),(33,1),(34,1),(176,1),(268,1)}
        16:{1,2,3,5,6}:{(5,1),(31,1),(35,1),(36,1),(91,1),(93,1),(96,1),(171,1),(173,1),(179,1),(258,1),(272,1),(345,1),(352,1),(400,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(33,1),(36,1)}
        18:{1,2,4,5,7}:{(6,1),(8,1),(27,1),(34,1),(36,1),(37,1),(92,1),(98,1),(176,1),(262,1),(265,1),(269,1),(353,1)}
        19:{2,3,4,6}:{(7,1),(33,1),(40,1),(41,1),(105,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(34,1),(40,1),(41,1),(281,1),(359,1)}
        21:{2,4,6}:{(8,1),(9,1),(41,1),(42,1)}
        22:{1,3,5,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(107,1),(346,1)}
        23:{1,3,4,6,7}:{(9,1),(11,1),(43,1),(45,1),(94,1),(102,1),(176,1),(185,1),(189,1),(280,1),(283,1),(350,1)}
        24:{2,4,5,6}:{(10,1),(44,1),(46,1),(47,1),(159,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(45,1),(47,1),(334,1),(347,1)}
        26:{2,3,4,7}:{(15,1),(49,1),(50,1),(206,1),(298,1)}
        27:{2,4,5,7}:{(12,1),(50,1),(51,1),(116,1),(120,1),(206,1),(299,1),(376,1)}
        28:{1,3,4,6}:{(12,1),(13,1),(51,1),(52,1),(60,1),(131,1),(205,1),(309,1)}
        29:{2,3,5,6}:{(13,1),(52,1),(54,1),(55,1),(227,1),(305,1)}
        30:{2,3,4,6,7}:{(13,1),(53,1),(55,1),(70,1),(115,1),(145,1),(231,1),(296,1),(301,1),(310,1)}
        31:{1,2,3,5,7}:{(14,1),(16,1),(57,1),(58,1),(127,1),(132,1),(226,1),(316,1),(382,1),(414,1)}
        32:{1,2,4,6,7}:{(14,1),(17,1),(56,1),(57,1),(58,1),(128,1),(216,1),(304,1),(310,1),(311,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(19,1),(49,1),(59,1),(60,1),(131,1)}
        34:{1,3,5,7}:{(15,1),(18,1),(20,1),(50,1),(59,1),(60,1),(313,1),(382,1)}
        35:{1,2,4,6}:{(16,1),(57,1),(61,1),(62,1),(131,1),(220,1),(222,1),(413,1)}
        36:{1,2,5}:{(17,1),(59,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(51,1),(60,1),(63,1),(131,1),(309,1),(311,1)}
        38:{2,3,4,6,7}:{(19,1),(56,1),(65,1),(70,1),(126,1),(139,1),(145,1),(218,1),(231,1),(310,1),(368,1),(412,1),(425,1)}
        39:{2,3,5,6,7}:{(25,1),(66,1),(67,1),(77,1),(151,1),(232,1)}
        40:{2,3,5}:{(19,1),(59,1),(68,1)}
        41:{2,3,6}:{(20,1),(21,1),(60,1)}
        42:{2,5,6}:{(21,1),(22,1),(72,1)}
        43:{2,4,6,7}:{(21,1),(23,1),(70,1),(72,1),(145,1),(323,1),(325,1)}
        44:{1,4,5,6}:{(22,1),(24,1),(71,1),(74,1),(131,1)}
        45:{1,3,5,7}:{(22,1),(23,1),(25,1),(72,1),(74,1),(147,1),(379,1)}
        46:{3,4,5,6}:{(24,1),(75,1),(205,1),(291,1)}
        47:{2,4,5,7}:{(24,1),(25,1),(67,1),(74,1),(75,1),(206,1)}
        48:{2,4,5,6,7}:{(67,1),(76,1),(77,1),(151,1),(292,1),(328,1)}
        49:{2,3,4,6}:{(26,1),(33,1),(80,1),(81,1),(159,1)}
        50:{2,3,5,7}:{(26,1),(27,1),(34,1),(80,1),(81,1),(340,1),(398,1)}
        51:{2,4,6}:{(27,1),(28,1),(81,1),(82,1)}
        52:{1,3,5,6}:{(28,1),(29,1),(82,1),(84,1),(85,1),(161,1),(346,1)}
        53:{1,3,4,6,7}:{(28,1),(30,1),(83,1),(85,1),(94,1),(156,1),(176,1),(250,1),(254,1),(339,1),(342,1),(350,1)}
        54:{2,4,5,6}:{(29,1),(84,1),(86,1),(87,1),(105,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(85,1),(87,1),(275,1),(347,1)}
        56:{1,3,4,6,7}:{(32,1),(33,1),(38,1),(78,1),(88,1),(89,1),(94,1),(166,1),(169,1),(171,1),(176,1),(266,1),(344,1),(350,1),(402,1),(422,1)}
        57:{1,2,4,7}:{(31,1),(35,1),(89,1),(176,1),(271,1),(422,1)}
        58:{1,2,5,7}:{(32,1),(36,1),(88,1),(91,1),(345,1),(347,1)}
        59:{1,3,5}:{(33,1),(36,1),(40,1),(80,1),(92,1)}
        60:{1,3,6}:{(34,1),(37,1),(41,1),(81,1)}
        61:{1,3,4,6}:{(35,1),(89,1),(95,1),(96,1),(171,1),(268,1),(352,1)}
        62:{1,2,4,5}:{(35,1),(36,1),(92,1),(96,1),(174,1),(345,1),(399,1)}
        63:{1,2,5,6}:{(36,1),(37,1),(42,1),(82,1),(93,1),(98,1),(346,1)}
        64:{1,2,4,6,7}:{(37,1),(43,1),(83,1),(94,1),(98,1),(176,1),(350,1),(351,1),(353,1)}
        65:{2,3,5,7}:{(38,1),(40,1),(88,1),(99,1),(100,1),(275,1),(347,1),(393,1)}
        66:{1,3,5,6,7}:{(39,1),(45,1),(101,1),(102,1),(185,1),(196,1),(280,1)}
        67:{2,4,6,7}:{(39,1),(47,1),(102,1),(103,1)}
        68:{2,4,5}:{(40,1),(92,1),(104,1),(105,1)}
        69:{2,3,5,6}:{(40,1),(41,1),(42,1),(93,1),(105,1),(106,1),(107,1)}
        70:{2,3,6,7}:{(41,1),(43,1),(94,1),(106,1),(185,1),(359,1)}
        71:{2,4,5,6}:{(42,1),(44,1),(105,1),(107,1),(108,1)}
        72:{2,5,7}:{(42,1),(43,1),(45,1)}
        73:{1,3,4,5,6}:{(44,1),(46,1),(107,1),(109,1),(110,1),(175,1),(190,1),(193,1),(259,1),(285,1),(361,1)}
        74:{1,4,5,7}:{(44,1),(45,1),(47,1),(102,1),(108,1),(176,1)}
        75:{3,4,5,7}:{(46,1),(47,1),(103,1),(254,1),(334,1)}
        76:{1,4,5,6,7}:{(48,1),(102,1),(111,1),(112,1),(196,1),(260,1),(287,1)}
        77:{3,5,6,7}:{(48,1),(103,1),(334,1),(363,1)}
        78:{2,3,4,6,7}:{(49,1),(56,1),(113,1),(118,1),(126,1),(200,1),(206,1),(218,1),(295,1),(310,1),(317,1),(386,1),(415,1)}
        79:{2,3,5,6,7}:{(55,1),(114,1),(115,1),(198,1),(290,1),(296,1)}
        80:{2,3,5}:{(49,1),(59,1),(116,1)}
        81:{2,3,6}:{(50,1),(51,1),(60,1)}
        82:{2,5,6}:{(51,1),(52,1),(120,1)}
        83:{2,4,6,7}:{(51,1),(53,1),(118,1),(120,1),(206,1),(374,1),(376,1)}
        84:{1,4,5,6}:{(52,1),(54,1),(119,1),(122,1),(131,1)}
        85:{1,3,5,7}:{(52,1),(53,1),(55,1),(120,1),(122,1),(208,1),(379,1)}
        86:{3,4,5,6}:{(54,1),(123,1),(144,1),(227,1)}
        87:{2,4,5,7}:{(54,1),(55,1),(115,1),(122,1),(123,1),(145,1)}
        88:{1,3,5,7}:{(56,1),(58,1),(59,1),(65,1),(113,1),(124,1),(125,1),(377,1),(379,1)}
        89:{1,3,4,7}:{(57,1),(61,1),(126,1),(127,1),(382,1)}
        90:{1,2,4,5,7}:{(57,1),(58,1),(62,1),(124,1),(127,1),(128,1),(213,1)}
        91:{1,2,5,6}:{(58,1),(125,1),(128,1),(305,1),(311,1)}
        92:{1,4,5}:{(59,1),(68,1),(116,1),(131,1)}
        93:{1,3,5,6}:{(59,1),(60,1),(63,1),(69,1),(117,1),(131,1),(132,1)}
        94:{1,3,6,7}:{(60,1),(64,1),(70,1),(118,1),(132,1),(382,1)}
        95:{2,3,4,6}:{(61,1),(126,1),(134,1),(135,1),(218,1),(222,1),(234,1),(298,1),(324,1),(375,1)}
        96:{1,3,5}:{(61,1),(62,1),(135,1)}
        97:{1,2,4,5,6}:{(62,1),(63,1),(71,1),(119,1),(128,1),(131,1),(136,1),(137,1),(148,1),(209,1),(211,1),(222,1),(238,1),(302,1),(305,1),(314,1),(326,1),(378,1),(406,1),(413,1)}
        98:{1,2,5,7}:{(63,1),(64,1),(72,1),(120,1),(132,1),(379,1)}
        99:{2,4,5,7}:{(65,1),(68,1),(124,1),(138,1),(139,1),(145,1),(409,1),(425,1)}
       100:{2,3,5,6}:{(65,1),(125,1),(139,1),(218,1),(227,1),(305,1)}
       101:{2,5,6,7}:{(66,1),(72,1),(141,1),(323,1)}
       102:{1,4,6,7}:{(66,1),(67,1),(74,1),(141,1)}
       103:{3,4,6,7}:{(67,1),(75,1),(77,1)}
       104:{3,4,5}:{(68,1),(144,1)}
       105:{2,4,6}:{(68,1),(69,1),(131,1),(144,1),(145,1)}
       106:{2,3,5,7}:{(69,1),(70,1),(72,1),(132,1),(145,1),(147,1)}
       107:{3,5,6}:{(71,1),(144,1),(147,1)}
       108:{2,4,5,7}:{(71,1),(72,1),(74,1),(141,1),(145,1),(147,1)}
       109:{2,4,5,6}:{(73,1),(146,1),(148,1),(149,1),(222,1),(238,1),(305,1)}
       110:{1,3,4,5,7}:{(73,1),(74,1),(75,1),(142,1),(147,1),(149,1),(223,1),(239,1),(241,1),(306,1),(327,1),(388,1)}
       111:{2,4,5,6,7}:{(76,1),(141,1),(150,1),(151,1),(228,1),(242,1)}
       112:{1,3,5,6,7}:{(76,1),(77,1),(142,1),(150,1),(151,1),(306,1)}
       113:{2,3,5,7}:{(78,1),(80,1),(88,1),(153,1),(154,1),(334,1),(347,1),(354,1)}
       114:{1,3,5,6,7}:{(79,1),(85,1),(155,1),(156,1),(250,1),(332,1),(339,1)}
       115:{2,4,6,7}:{(79,1),(87,1),(156,1),(157,1)}
       116:{2,4,5}:{(80,1),(92,1),(158,1),(159,1)}
       117:{2,3,5,6}:{(80,1),(81,1),(82,1),(93,1),(159,1),(160,1),(161,1)}
       118:{2,3,6,7}:{(81,1),(83,1),(94,1),(160,1),(250,1),(398,1)}
       119:{2,4,5,6}:{(82,1),(84,1),(159,1),(161,1),(162,1)}
       120:{2,5,7}:{(82,1),(83,1),(85,1)}
       121:{1,3,4,5,6}:{(84,1),(86,1),(161,1),(163,1),(164,1),(175,1),(255,1),(259,1),(329,1),(389,1),(417,1)}
       122:{1,4,5,7}:{(84,1),(85,1),(87,1),(156,1),(162,1),(176,1)}
       123:{3,4,5,7}:{(86,1),(87,1),(157,1),(189,1),(275,1)}
       124:{1,4,5,7}:{(88,1),(92,1),(99,1),(153,1),(166,1),(176,1),(399,1),(422,1)}
       125:{1,3,5,6}:{(88,1),(91,1),(100,1),(154,1),(166,1),(171,1),(266,1),(346,1)}
       126:{2,3,4,7}:{(89,1),(95,1),(169,1),(170,1),(271,1),(359,1),(398,1)}
       127:{1,3,5,7}:{(89,1),(90,1),(96,1),(170,1),(171,1)}
       128:{1,2,4,6}:{(90,1),(91,1),(166,1),(171,1),(263,1)}
       129:{1,2,5,6,7}:{(91,1),(98,1),(101,1),(155,1),(167,1),(172,1),(196,1),(288,1),(332,1),(347,1),(351,1),(392,1),(401,1)}
       130:{1,3,4,5}:{(92,1),(96,1),(104,1),(158,1),(174,1),(175,1),(360,1),(399,1),(416,1)}
       131:{1,4,6}:{(92,1),(93,1),(105,1),(159,1),(176,1)}
       132:{1,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(160,1),(176,1)}
       133:{1,2,3,6}:{(168,1),(173,1),(177,1),(352,1)}
       134:{1,3,4,6}:{(95,1),(169,1),(177,1),(178,1),(266,1),(268,1),(270,1),(352,1)}
       135:{2,3,5}:{(95,1),(96,1),(174,1),(178,1)}
       136:{1,3,5,6}:{(96,1),(97,1),(107,1),(161,1),(171,1),(175,1),(179,1),(180,1),(352,1),(361,1),(417,1)}
       137:{1,2,4,5,7}:{(97,1),(98,1),(108,1),(162,1),(172,1),(176,1),(180,1),(192,1),(257,1),(260,1),(271,1),(284,1),(343,1),(347,1),(353,1),(362,1),(401,1),(418,1),(422,1)}
       138:{3,4,5,7}:{(99,1),(104,1),(183,1),(189,1),(275,1),(416,1),(426,1)}
       139:{2,4,6}:{(99,1),(100,1),(166,1),(183,1)}
       140:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(167,1),(184,1),(185,1),(267,1),(275,1),(347,1),(392,1),(419,1),(421,1)}
       141:{2,4,6,7}:{(101,1),(102,1),(108,1),(185,1)}
       142:{1,3,4,6,7}:{(102,1),(103,1),(110,1),(112,1),(185,1),(186,1),(194,1),(280,1),(287,1),(363,1)}
       143:{2,3,4,5}:{(104,1),(174,1),(187,1),(188,1),(340,1),(360,1)}
       144:{3,4,6}:{(104,1),(105,1),(107,1),(189,1)}
       145:{2,4,7}:{(105,1),(106,1),(176,1),(189,1)}
       146:{2,3,5,6}:{(107,1),(109,1),(188,1),(190,1),(191,1),(361,1)}
       147:{3,5,7}:{(107,1),(108,1),(185,1),(189,1)}
       148:{1,4,5,6}:{(109,1),(190,1),(192,1),(270,1),(346,1)}
       149:{2,4,5,7}:{(109,1),(110,1),(186,1),(191,1),(192,1),(271,1),(284,1),(347,1)}
       150:{3,5,6,7}:{(111,1),(185,1),(194,1),(275,1)}
       151:{2,5,6,7}:{(112,1),(186,1),(196,1),(347,1)}
       152:{2,4,5,6,7}:{(115,1),(197,1),(198,1),(228,1),(290,1),(408,1)}
       153:{2,4,5,7}:{(113,1),(116,1),(124,1),(199,1),(200,1),(206,1),(383,1),(415,1)}
       154:{2,3,5,6}:{(113,1),(125,1),(200,1),(218,1),(291,1),(305,1)}
       155:{2,5,6,7}:{(114,1),(120,1),(202,1),(374,1)}
       156:{1,4,6,7}:{(114,1),(115,1),(122,1),(202,1)}
       157:{3,4,6,7}:{(115,1),(123,1),(198,1)}
       158:{3,4,5}:{(116,1),(205,1)}
       159:{2,4,6}:{(116,1),(117,1),(131,1),(205,1),(206,1)}
       160:{2,3,5,7}:{(117,1),(118,1),(120,1),(132,1),(206,1),(208,1)}
       161:{3,5,6}:{(119,1),(205,1),(208,1)}
       162:{2,4,5,7}:{(119,1),(120,1),(122,1),(202,1),(206,1),(208,1)}
       163:{2,4,5,6}:{(121,1),(207,1),(209,1),(210,1),(222,1),(302,1),(305,1)}
       164:{1,3,4,5,7}:{(121,1),(122,1),(123,1),(203,1),(208,1),(210,1),(223,1),(303,1),(306,1),(365,1),(407,1),(424,1)}
       165:{1,3,4,5,7}:{(124,1),(127,1),(130,1),(138,1),(199,1),(213,1),(214,1),(223,1),(306,1)}
       166:{1,4,6}:{(124,1),(125,1),(139,1),(200,1)}
       167:{1,3,5,6,7}:{(125,1),(129,1),(132,1),(140,1),(201,1),(215,1),(219,1),(306,1),(312,1),(379,1),(414,1)}
       168:{1,2,3,7}:{(133,1),(216,1),(382,1)}
       169:{1,3,4,7}:{(126,1),(134,1),(216,1),(217,1),(315,1),(382,1)}
       170:{2,3,5,7}:{(126,1),(127,1),(135,1),(213,1),(217,1),(218,1)}
       171:{1,3,6}:{(127,1),(128,1),(218,1)}
       172:{1,2,4,6,7}:{(128,1),(129,1),(137,1),(141,1),(202,1),(215,1),(219,1),(233,1),(297,1),(310,1),(323,1),(328,1),(374,1),(408,1)}
       173:{1,2,3,5}:{(133,1),(220,1),(224,1),(313,1)}
       174:{2,4,5}:{(130,1),(135,1),(221,1),(222,1)}
       175:{1,3,4,6}:{(130,1),(131,1),(136,1),(144,1),(205,1),(222,1),(223,1),(387,1),(413,1),(423,1)}
       176:{1,4,7}:{(131,1),(132,1),(145,1),(206,1)}
       177:{1,2,4,6}:{(133,1),(134,1),(216,1),(220,1),(224,1),(311,1)}
       178:{1,3,5}:{(134,1),(135,1),(221,1),(224,1)}
       179:{2,3,5,6}:{(135,1),(136,1),(218,1),(222,1),(225,1),(226,1),(238,1),(302,1),(305,1),(324,1),(375,1)}
       180:{1,3,5,7}:{(136,1),(137,1),(147,1),(208,1),(219,1),(223,1),(226,1),(382,1),(388,1),(424,1)}
       181:{2,4,5,6}:{(139,1),(211,1),(227,1),(228,1),(305,1)}
       182:{2,3,4,5,7}:{(138,1),(143,1),(213,1),(229,1),(230,1),(237,1),(319,1),(371,1),(409,1),(425,1)}
       183:{3,4,6}:{(138,1),(139,1),(227,1)}
       184:{2,4,6,7}:{(139,1),(140,1),(145,1),(215,1),(228,1),(231,1),(425,1)}
       185:{3,6,7}:{(141,1),(147,1)}
       186:{2,4,6,7}:{(142,1),(149,1),(151,1),(232,1),(233,1),(323,1)}
       187:{1,3,4,5}:{(143,1),(221,1),(235,1),(236,1),(313,1)}
       188:{2,3,4,6}:{(143,1),(144,1),(146,1),(222,1),(236,1),(237,1),(375,1),(387,1)}
       189:{3,4,7}:{(144,1),(145,1),(147,1)}
       190:{1,3,5,6}:{(146,1),(148,1),(236,1),(238,1),(239,1)}
       191:{2,3,5,7}:{(146,1),(147,1),(149,1),(232,1),(237,1),(239,1),(388,1)}
       192:{1,4,5,7}:{(148,1),(149,1),(233,1),(239,1),(315,1),(379,1)}
       193:{3,4,5,6}:{(227,1),(240,1),(241,1),(423,1)}
       194:{3,4,6,7}:{(150,1),(241,1),(242,1)}
       195:{2,3,5,6,7}:{(150,1),(151,1),(232,1),(242,1),(243,1),(319,1)}
       196:{1,5,6,7}:{(151,1),(233,1),(379,1)}
       197:{1,4,5,6,7}:{(152,1),(156,1),(244,1),(245,1),(260,1),(332,1),(391,1)}
       198:{3,5,6,7}:{(152,1),(157,1),(275,1),(419,1)}
       199:{3,4,5,7}:{(153,1),(158,1),(248,1),(254,1),(334,1),(360,1),(405,1)}
       200:{2,4,6}:{(153,1),(154,1),(166,1),(248,1)}
       201:{2,3,5,6,7}:{(154,1),(155,1),(160,1),(167,1),(249,1),(250,1),(267,1),(288,1),(334,1),(347,1),(363,1),(404,1)}
       202:{2,4,6,7}:{(155,1),(156,1),(162,1),(250,1)}
       203:{1,3,4,6,7}:{(156,1),(157,1),(164,1),(245,1),(250,1),(251,1),(330,1),(339,1),(391,1),(419,1)}
       204:{2,3,4,5}:{(158,1),(174,1),(252,1),(253,1),(281,1),(416,1)}
       205:{3,4,6}:{(158,1),(159,1),(161,1),(254,1)}
       206:{2,4,7}:{(159,1),(160,1),(176,1),(254,1)}
       207:{2,3,5,6}:{(161,1),(163,1),(253,1),(255,1),(256,1),(417,1)}
       208:{3,5,7}:{(161,1),(162,1),(250,1),(254,1)}
       209:{1,4,5,6}:{(163,1),(255,1),(257,1),(270,1),(346,1)}
       210:{2,4,5,7}:{(163,1),(164,1),(251,1),(256,1),(257,1),(271,1),(343,1),(347,1)}
       211:{1,4,5,6}:{(166,1),(181,1),(246,1),(259,1),(260,1),(346,1)}
       212:{1,2,3,5,7}:{(168,1),(173,1),(258,1),(261,1),(265,1),(345,1),(348,1)}
       213:{2,4,5,7}:{(165,1),(170,1),(174,1),(262,1),(263,1),(271,1),(347,1)}
       214:{1,3,4,6}:{(165,1),(166,1),(171,1),(183,1),(248,1),(259,1),(263,1)}
       215:{1,4,6,7}:{(166,1),(167,1),(176,1),(184,1),(249,1),(260,1),(422,1)}
       216:{1,2,4,7}:{(168,1),(169,1),(177,1),(265,1)}
       217:{1,3,5,7}:{(169,1),(170,1),(178,1),(262,1),(265,1),(266,1)}
       218:{2,3,6}:{(170,1),(171,1),(263,1),(266,1)}
       219:{1,3,6,7}:{(171,1),(172,1),(180,1),(185,1),(250,1),(267,1),(363,1),(419,1)}
       220:{1,2,4}:{(173,1),(268,1)}
       221:{1,4,5}:{(174,1),(178,1),(270,1)}
       222:{2,4,6}:{(174,1),(175,1),(179,1),(270,1),(271,1)}
       223:{1,3,4,7}:{(175,1),(176,1),(180,1),(189,1),(254,1),(271,1),(405,1),(422,1),(426,1)}
       224:{1,2,5}:{(177,1),(178,1)}
       225:{1,3,5,6}:{(178,1),(179,1),(266,1),(270,1),(272,1),(273,1),(346,1),(352,1)}
       226:{2,3,5,7}:{(179,1),(180,1),(267,1),(271,1),(273,1),(284,1),(343,1),(347,1),(359,1),(398,1)}
       227:{3,5,6}:{(181,1),(183,1),(275,1)}
       228:{2,4,5,7}:{(181,1),(184,1),(260,1),(275,1),(347,1)}
       229:{1,3,4,5,7}:{(182,1),(187,1),(262,1),(277,1),(278,1),(283,1),(348,1),(356,1),(360,1),(399,1),(405,1),(422,1)}
       230:{2,3,4,6}:{(182,1),(183,1),(263,1),(274,1),(278,1),(396,1),(420,1)}
       231:{3,4,6,7}:{(183,1),(184,1),(185,1),(189,1),(275,1),(419,1),(426,1)}
       232:{2,3,6,7}:{(185,1),(186,1),(191,1),(280,1),(363,1)}
       233:{1,4,6,7}:{(186,1),(192,1),(196,1),(280,1)}
       234:{2,3,4}:{(268,1),(281,1)}
       235:{2,4,5}:{(187,1),(281,1),(282,1)}
       236:{1,3,4,6}:{(187,1),(188,1),(190,1),(270,1),(282,1),(283,1),(352,1)}
       237:{2,3,4,7}:{(188,1),(189,1),(191,1),(271,1),(283,1),(398,1),(405,1)}
       238:{2,5,6}:{(190,1),(282,1),(284,1)}
       239:{1,3,5,7}:{(190,1),(191,1),(192,1),(280,1),(283,1),(284,1)}
       240:{2,4,5,6}:{(193,1),(274,1),(285,1),(286,1),(420,1)}
       241:{3,4,5,7}:{(193,1),(194,1),(275,1),(286,1),(426,1)}
       242:{2,4,6,7}:{(194,1),(195,1),(286,1),(287,1)}
       243:{1,3,5,6,7}:{(195,1),(196,1),(280,1),(287,1),(288,1),(356,1),(363,1)}
       244:{2,4,5,6,7}:{(197,1),(202,1),(289,1),(290,1),(292,1),(366,1)}
       245:{1,3,5,6,7}:{(197,1),(198,1),(203,1),(289,1),(290,1),(306,1)}
       246:{2,4,5,6}:{(200,1),(211,1),(291,1),(292,1),(305,1)}
       247:{2,3,4,5,7}:{(199,1),(204,1),(213,1),(293,1),(294,1),(301,1),(320,1),(370,1),(383,1),(415,1)}
       248:{3,4,6}:{(199,1),(200,1),(291,1)}
       249:{2,4,6,7}:{(200,1),(201,1),(206,1),(215,1),(292,1),(295,1),(415,1)}
       250:{3,6,7}:{(202,1),(208,1)}
       251:{2,4,6,7}:{(203,1),(210,1),(290,1),(296,1),(297,1),(374,1)}
       252:{1,3,4,5}:{(204,1),(221,1),(299,1),(300,1),(313,1)}
       253:{2,3,4,6}:{(204,1),(205,1),(207,1),(222,1),(300,1),(301,1),(324,1),(423,1)}
       254:{3,4,7}:{(205,1),(206,1),(208,1)}
       255:{1,3,5,6}:{(207,1),(209,1),(300,1),(302,1),(303,1)}
       256:{2,3,5,7}:{(207,1),(208,1),(210,1),(296,1),(301,1),(303,1),(424,1)}
       257:{1,4,5,7}:{(209,1),(210,1),(297,1),(303,1),(315,1),(379,1)}
       258:{1,2,3,6}:{(212,1),(304,1),(311,1),(380,1)}
       259:{1,3,5,6}:{(211,1),(214,1),(227,1),(291,1),(305,1),(306,1)}
       260:{1,4,5,7}:{(211,1),(215,1),(228,1),(292,1),(306,1),(379,1)}
       261:{1,2,4,7}:{(212,1),(220,1),(304,1),(307,1)}
       262:{1,4,5,7}:{(213,1),(217,1),(221,1),(309,1),(315,1),(379,1)}
       263:{2,4,6}:{(213,1),(214,1),(218,1),(305,1),(309,1)}
       264:{1,3,4,6,7}:{(214,1),(215,1),(219,1),(223,1),(231,1),(295,1),(306,1),(310,1)}
       265:{1,2,5,7}:{(216,1),(217,1),(224,1),(311,1)}
       266:{1,3,6}:{(217,1),(218,1),(309,1),(311,1)}
       267:{2,3,6,7}:{(218,1),(219,1),(226,1),(310,1),(312,1),(323,1),(374,1)}
       268:{1,3,4}:{(220,1),(234,1),(298,1),(313,1)}
       269:{1,2,4,5}:{(220,1),(221,1),(224,1),(235,1),(299,1),(313,1),(314,1)}
       270:{1,4,6}:{(221,1),(222,1),(225,1),(315,1)}
       271:{2,4,7}:{(222,1),(223,1),(226,1),(315,1)}
       272:{1,2,5,6}:{(224,1),(225,1),(238,1),(302,1),(311,1),(314,1),(316,1)}
       273:{1,3,5,7}:{(225,1),(226,1),(312,1),(315,1),(316,1),(379,1),(382,1)}
       274:{2,3,5,6}:{(227,1),(230,1),(240,1),(305,1),(318,1),(319,1)}
       275:{3,5,7}:{(227,1),(228,1),(231,1)}
       276:{2,3,4,7}:{(234,1),(307,1),(317,1),(320,1),(415,1)}
       277:{2,4,5,7}:{(229,1),(235,1),(320,1),(321,1),(325,1),(383,1),(385,1),(415,1)}
       278:{1,3,4,6}:{(229,1),(230,1),(309,1),(318,1),(321,1),(380,1),(387,1),(413,1)}
       279:{2,3,4,6,7}:{(230,1),(231,1),(232,1),(237,1),(242,1),(310,1),(319,1),(322,1),(412,1),(425,1)}
       280:{1,3,6,7}:{(232,1),(233,1),(239,1),(323,1)}
       281:{2,3,5}:{(234,1),(235,1),(313,1),(324,1)}
       282:{2,4,6}:{(235,1),(236,1),(238,1),(324,1),(325,1)}
       283:{1,3,4,7}:{(236,1),(237,1),(239,1),(315,1),(325,1),(382,1)}
       284:{2,5,7}:{(238,1),(239,1),(323,1),(325,1)}
       285:{1,4,5,6}:{(240,1),(318,1),(326,1),(327,1),(413,1)}
       286:{2,4,5,7}:{(240,1),(241,1),(242,1),(319,1),(327,1),(425,1)}
       287:{1,4,6,7}:{(242,1),(243,1),(327,1),(328,1)}
       288:{2,5,6,7}:{(243,1),(323,1),(328,1),(385,1)}
       289:{3,5,6,7}:{(244,1),(250,1),(330,1),(334,1)}
       290:{2,5,6,7}:{(245,1),(251,1),(332,1),(347,1)}
       291:{3,5,6}:{(246,1),(248,1),(334,1)}
       292:{2,4,5,7}:{(246,1),(249,1),(260,1),(334,1),(347,1)}
       293:{1,3,4,5,7}:{(247,1),(252,1),(262,1),(336,1),(337,1),(342,1),(348,1),(395,1),(399,1),(416,1),(422,1),(426,1)}
       294:{2,3,4,6}:{(247,1),(248,1),(263,1),(333,1),(337,1),(357,1),(403,1)}
       295:{3,4,6,7}:{(248,1),(249,1),(250,1),(254,1),(334,1),(363,1),(405,1)}
       296:{2,3,6,7}:{(250,1),(251,1),(256,1),(339,1),(419,1)}
       297:{1,4,6,7}:{(251,1),(257,1),(332,1),(339,1)}
       298:{2,3,4}:{(268,1),(340,1)}
       299:{2,4,5}:{(252,1),(340,1),(341,1)}
       300:{1,3,4,6}:{(252,1),(253,1),(255,1),(270,1),(341,1),(342,1),(352,1)}
       301:{2,3,4,7}:{(253,1),(254,1),(256,1),(271,1),(342,1),(359,1),(426,1)}
       302:{2,5,6}:{(255,1),(341,1),(343,1)}
       303:{1,3,5,7}:{(255,1),(256,1),(257,1),(339,1),(342,1),(343,1)}
       304:{1,2,4,6}:{(258,1),(261,1),(344,1),(345,1)}
       305:{2,5,6}:{(259,1),(263,1),(346,1),(347,1)}
       306:{1,3,5,7}:{(259,1),(260,1),(264,1),(275,1),(334,1),(347,1)}
       307:{1,3,4,7}:{(261,1),(268,1),(276,1),(335,1),(344,1),(348,1),(422,1)}
       308:{1,2,4,5,7}:{(261,1),(262,1),(265,1),(269,1),(277,1),(336,1),(345,1),(348,1),(349,1),(353,1),(399,1),(401,1),(422,1)}
       309:{1,4,6}:{(262,1),(263,1),(266,1),(346,1)}
       310:{2,4,6,7}:{(263,1),(264,1),(267,1),(271,1),(347,1),(350,1)}
       311:{1,2,6}:{(265,1),(266,1)}
       312:{1,3,6,7}:{(266,1),(267,1),(273,1),(350,1),(351,1)}
       313:{1,3,5}:{(268,1),(269,1),(281,1),(340,1),(352,1)}
       314:{1,2,4,6}:{(269,1),(270,1),(272,1),(282,1),(341,1),(352,1),(353,1)}
       315:{1,4,7}:{(270,1),(271,1),(273,1)}
       316:{1,2,5,7}:{(272,1),(273,1),(284,1),(343,1),(351,1),(353,1)}
       317:{2,3,4,6}:{(276,1),(344,1),(354,1),(357,1),(403,1)}
       318:{1,3,5,6}:{(274,1),(278,1),(285,1),(346,1),(355,1),(356,1),(361,1)}
       319:{2,3,5,7}:{(274,1),(275,1),(279,1),(286,1),(347,1),(356,1)}
       320:{2,3,5,7}:{(276,1),(277,1),(281,1),(348,1),(354,1),(357,1),(359,1)}
       321:{2,4,6}:{(277,1),(278,1),(355,1),(357,1)}
       322:{1,3,4,6,7}:{(278,1),(279,1),(280,1),(283,1),(287,1),(350,1),(356,1),(358,1),(363,1),(402,1),(405,1),(422,1)}
       323:{2,6,7}:{(280,1),(284,1)}
       324:{2,3,6}:{(281,1),(282,1),(352,1),(359,1)}
       325:{2,4,7}:{(282,1),(283,1),(284,1),(359,1)}
       326:{2,4,5,6}:{(285,1),(355,1),(361,1),(362,1),(403,1)}
       327:{1,4,5,7}:{(285,1),(286,1),(287,1),(356,1),(362,1),(422,1)}
       328:{2,4,6,7}:{(287,1),(288,1),(362,1),(363,1)}
       329:{3,4,5,6}:{(291,1),(364,1),(365,1),(387,1)}
       330:{3,4,6,7}:{(289,1),(365,1),(366,1)}
       331:{2,3,5,6,7}:{(289,1),(290,1),(296,1),(366,1),(367,1),(370,1)}
       332:{1,5,6,7}:{(290,1),(297,1),(379,1)}
       333:{2,3,5,6}:{(291,1),(294,1),(305,1),(364,1),(369,1),(370,1)}
       334:{3,5,7}:{(291,1),(292,1),(295,1)}
       335:{2,3,4,7}:{(298,1),(307,1),(368,1),(371,1),(425,1)}
       336:{2,4,5,7}:{(293,1),(299,1),(371,1),(372,1),(376,1),(409,1),(411,1),(425,1)}
       337:{1,3,4,6}:{(293,1),(294,1),(309,1),(369,1),(372,1),(380,1),(413,1),(423,1)}
       338:{2,3,4,6,7}:{(294,1),(295,1),(296,1),(301,1),(310,1),(366,1),(370,1),(373,1),(386,1),(415,1)}
       339:{1,3,6,7}:{(296,1),(297,1),(303,1),(374,1)}
       340:{2,3,5}:{(298,1),(299,1),(313,1),(375,1)}
       341:{2,4,6}:{(299,1),(300,1),(302,1),(375,1),(376,1)}
       342:{1,3,4,7}:{(300,1),(301,1),(303,1),(315,1),(376,1),(382,1)}
       343:{2,5,7}:{(302,1),(303,1),(374,1),(376,1)}
       344:{1,3,4,6}:{(304,1),(307,1),(317,1),(368,1),(377,1),(380,1),(413,1)}
       345:{1,2,5}:{(304,1),(377,1)}
       346:{1,5,6}:{(305,1),(309,1),(379,1)}
       347:{2,5,7}:{(305,1),(306,1),(310,1),(379,1)}
       348:{1,3,5,7}:{(307,1),(308,1),(313,1),(320,1),(371,1),(377,1),(380,1),(382,1)}
       349:{1,2,4,6}:{(308,1),(309,1),(311,1),(321,1),(372,1),(378,1),(380,1),(413,1)}
       350:{1,4,6,7}:{(309,1),(310,1),(312,1),(315,1),(379,1)}
       351:{1,2,6,7}:{(311,1),(312,1),(316,1),(323,1),(374,1)}
       352:{1,3,6}:{(313,1),(314,1),(324,1),(375,1),(382,1)}
       353:{1,2,4,7}:{(314,1),(315,1),(316,1),(325,1),(376,1),(382,1)}
       354:{2,3,5}:{(317,1),(377,1),(383,1)}
       355:{2,5,6}:{(318,1),(321,1),(385,1)}
       356:{1,3,5,7}:{(318,1),(319,1),(322,1),(327,1),(379,1),(385,1),(388,1)}
       357:{2,3,6}:{(320,1),(321,1),(380,1)}
       358:{2,4,6,7}:{(321,1),(322,1),(323,1),(325,1),(385,1),(386,1),(415,1)}
       359:{2,3,7}:{(324,1),(325,1),(382,1)}
       360:{3,4,5}:{(383,1),(387,1)}
       361:{3,5,6}:{(326,1),(387,1),(388,1)}
       362:{2,4,5,7}:{(326,1),(327,1),(328,1),(385,1),(388,1),(415,1)}
       363:{3,6,7}:{(328,1),(388,1)}
       364:{2,4,5,6}:{(329,1),(333,1),(389,1),(390,1),(403,1)}
       365:{3,4,5,7}:{(329,1),(330,1),(334,1),(390,1),(405,1)}
       366:{2,4,6,7}:{(330,1),(331,1),(390,1),(391,1)}
       367:{1,3,5,6,7}:{(331,1),(332,1),(339,1),(391,1),(392,1),(395,1),(419,1)}
       368:{2,3,4,6}:{(335,1),(344,1),(393,1),(396,1),(420,1)}
       369:{1,3,5,6}:{(333,1),(337,1),(346,1),(389,1),(394,1),(395,1),(417,1)}
       370:{2,3,5,7}:{(333,1),(334,1),(338,1),(347,1),(390,1),(395,1)}
       371:{2,3,5,7}:{(335,1),(336,1),(340,1),(348,1),(393,1),(396,1),(398,1)}
       372:{2,4,6}:{(336,1),(337,1),(394,1),(396,1)}
       373:{1,3,4,6,7}:{(337,1),(338,1),(339,1),(342,1),(350,1),(391,1),(395,1),(397,1),(402,1),(419,1),(422,1),(426,1)}
       374:{2,6,7}:{(339,1),(343,1)}
       375:{2,3,6}:{(340,1),(341,1),(352,1),(398,1)}
       376:{2,4,7}:{(341,1),(342,1),(343,1),(398,1)}
       377:{1,3,5}:{(344,1),(345,1),(354,1),(393,1),(399,1)}
       378:{1,2,5,6}:{(345,1),(346,1),(349,1),(355,1),(394,1),(400,1),(401,1)}
       379:{1,5,7}:{(346,1),(347,1),(350,1)}
       380:{1,3,6}:{(348,1),(349,1),(357,1),(396,1)}
       381:{1,2,4,6,7}:{(349,1),(350,1),(351,1),(353,1),(358,1),(397,1),(401,1),(402,1),(422,1)}
       382:{1,3,7}:{(352,1),(353,1),(359,1),(398,1)}
       383:{2,4,5}:{(354,1),(360,1),(399,1),(403,1)}
       384:{2,3,5,6}:{(354,1),(355,1),(357,1),(361,1),(400,1),(403,1),(404,1)}
       385:{2,5,7}:{(355,1),(356,1),(358,1)}
       386:{2,3,6,7}:{(357,1),(358,1),(359,1),(363,1),(402,1),(404,1)}
       387:{3,4,6}:{(360,1),(361,1),(403,1),(405,1)}
       388:{3,5,7}:{(361,1),(362,1),(363,1),(405,1)}
       389:{1,4,5,6}:{(364,1),(369,1),(406,1),(407,1),(413,1)}
       390:{2,4,5,7}:{(364,1),(365,1),(366,1),(370,1),(407,1),(415,1)}
       391:{1,4,6,7}:{(366,1),(367,1),(407,1),(408,1)}
       392:{2,5,6,7}:{(367,1),(374,1),(408,1),(411,1)}
       393:{2,3,5}:{(368,1),(377,1),(409,1)}
       394:{2,5,6}:{(369,1),(372,1),(411,1)}
       395:{1,3,5,7}:{(369,1),(370,1),(373,1),(379,1),(407,1),(411,1),(424,1)}
       396:{2,3,6}:{(371,1),(372,1),(380,1)}
       397:{2,4,6,7}:{(372,1),(373,1),(374,1),(376,1),(411,1),(412,1),(425,1)}
       398:{2,3,7}:{(375,1),(376,1),(382,1)}
       399:{1,4,5}:{(377,1),(383,1),(409,1),(413,1)}
       400:{1,3,5,6}:{(377,1),(378,1),(380,1),(384,1),(410,1),(413,1),(414,1)}
       401:{1,2,5,7}:{(378,1),(379,1),(381,1),(385,1),(411,1),(414,1)}
       402:{1,3,6,7}:{(380,1),(381,1),(382,1),(386,1),(412,1),(414,1)}
       403:{2,4,6}:{(383,1),(384,1),(387,1),(413,1),(415,1)}
       404:{2,3,5,7}:{(384,1),(385,1),(386,1),(388,1),(414,1),(415,1)}
       405:{3,4,7}:{(387,1),(388,1),(415,1)}
       406:{2,4,5,6}:{(389,1),(394,1),(417,1),(418,1),(420,1)}
       407:{1,4,5,7}:{(389,1),(390,1),(391,1),(395,1),(418,1),(422,1)}
       408:{2,4,6,7}:{(391,1),(392,1),(418,1),(419,1)}
       409:{2,4,5}:{(393,1),(399,1),(416,1),(420,1)}
       410:{2,3,5,6}:{(393,1),(394,1),(396,1),(400,1),(417,1),(420,1),(421,1)}
       411:{2,5,7}:{(394,1),(395,1),(397,1)}
       412:{2,3,6,7}:{(396,1),(397,1),(398,1),(402,1),(419,1),(421,1)}
       413:{1,4,6}:{(399,1),(400,1),(403,1),(420,1),(422,1)}
       414:{1,3,5,7}:{(400,1),(401,1),(402,1),(404,1),(421,1),(422,1)}
       415:{2,4,7}:{(403,1),(404,1),(405,1),(422,1)}
       416:{3,4,5}:{(409,1),(423,1)}
       417:{3,5,6}:{(406,1),(423,1),(424,1)}
       418:{2,4,5,7}:{(406,1),(407,1),(408,1),(411,1),(424,1),(425,1)}
       419:{3,6,7}:{(408,1),(424,1)}
       420:{2,4,6}:{(409,1),(410,1),(413,1),(423,1),(425,1)}
       421:{2,3,5,7}:{(410,1),(411,1),(412,1),(414,1),(424,1),(425,1)}
       422:{1,4,7}:{(413,1),(414,1),(415,1),(425,1)}
       423:{3,4,6}:{(416,1),(417,1),(420,1),(426,1)}
       424:{3,5,7}:{(417,1),(418,1),(419,1),(426,1)}
       425:{2,4,7}:{(420,1),(421,1),(422,1),(426,1)}
       426:{3,4,7}:{(423,1),(424,1),(425,1)}

2733 :   0:{2,3,4,5}:{(3,1),(4,1),(63,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(151,1),(168,1)}
         2:{1,2,3,5}:{(8,1),(9,1),(43,1),(44,1)}
         3:{1,3,4,5}:{(0,1),(12,1),(13,1),(44,1),(55,1),(96,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(13,1),(14,1),(92,1),(138,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(17,1),(18,1),(138,1),(164,1)}
         6:{3,4,5,7}:{(1,1),(16,1),(18,1),(163,1),(173,1)}
         7:{2,3,4,5}:{(19,1),(20,1),(28,1),(74,1)}
         8:{1,2,3,6}:{(2,1),(21,1),(22,1),(70,1)}
         9:{1,2,4}:{(2,1),(23,1)}
        10:{2,3,5,6}:{(4,1),(5,1),(26,1),(27,1)}
        11:{2,3,4}:{(23,1),(28,1)}
        12:{2,4,5}:{(3,1),(28,1),(29,1)}
        13:{1,3,4,6}:{(3,1),(4,1),(26,1),(29,1),(30,1),(70,1),(81,1),(122,1)}
        14:{2,3,4,7}:{(4,1),(27,1),(30,1),(118,1),(155,1)}
        15:{4,5,6,7}:{(31,1),(174,1)}
        16:{3,4,6,7}:{(6,1),(31,1),(32,1)}
        17:{1,4,5,6}:{(5,1),(26,1),(33,1),(34,1),(122,1),(156,1)}
        18:{2,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(34,1),(155,1),(170,1)}
        19:{1,3,4,5}:{(7,1),(38,1),(39,1),(44,1),(96,1),(132,1)}
        20:{2,3,4,6}:{(7,1),(36,1),(39,1),(40,1),(51,1),(103,1)}
        21:{1,2,3,7}:{(8,1),(41,1),(99,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(41,1),(42,1),(43,1),(95,1)}
        23:{1,3,4}:{(9,1),(11,1),(37,1),(44,1)}
        24:{1,2,4,5}:{(9,1),(12,1),(38,1),(43,1),(44,1),(45,1),(96,1)}
        25:{2,3,4,6}:{(11,1),(42,1),(46,1),(48,1),(51,1),(101,1),(103,1)}
        26:{1,3,5,6}:{(10,1),(13,1),(17,1),(49,1),(50,1),(56,1)}
        27:{2,3,5,7}:{(10,1),(14,1),(18,1),(47,1),(50,1)}
        28:{2,3,5}:{(11,1),(12,1),(44,1),(51,1)}
        29:{2,4,6}:{(12,1),(13,1),(49,1),(51,1),(52,1)}
        30:{1,3,4,7}:{(13,1),(14,1),(50,1),(52,1),(99,1),(108,1),(142,1)}
        31:{3,5,6,7}:{(15,1),(16,1),(53,1),(173,1)}
        32:{2,4,6,7}:{(16,1),(18,1),(47,1),(53,1),(54,1)}
        33:{2,4,5,6}:{(17,1),(49,1),(56,1),(57,1),(103,1),(143,1),(145,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(50,1),(54,1),(57,1),(142,1),(166,1)}
        35:{3,4,5,6}:{(58,1),(59,1),(81,1),(128,1)}
        36:{2,3,5,6}:{(20,1),(58,1),(61,1),(62,1)}
        37:{2,3,4}:{(23,1),(63,1)}
        38:{2,4,5}:{(19,1),(63,1),(64,1)}
        39:{1,3,4,6}:{(19,1),(20,1),(61,1),(64,1),(65,1),(70,1),(122,1),(151,1)}
        40:{2,3,4,7}:{(20,1),(62,1),(65,1),(77,1),(126,1)}
        41:{1,2,4,7}:{(21,1),(22,1),(66,1),(67,1)}
        42:{1,3,4,6}:{(22,1),(23,1),(25,1),(60,1),(66,1),(68,1),(70,1),(120,1),(122,1)}
        43:{1,2,5}:{(22,1),(68,1)}
        44:{1,3,5}:{(23,1),(24,1),(28,1),(63,1),(70,1)}
        45:{1,2,4,6}:{(24,1),(29,1),(64,1),(69,1),(70,1),(71,1),(122,1)}
        46:{2,3,4,7}:{(25,1),(66,1),(72,1),(77,1),(126,1)}
        47:{2,3,6,7}:{(27,1),(32,1),(73,1)}
        48:{2,3,5}:{(25,1),(68,1),(74,1)}
        49:{2,5,6}:{(26,1),(29,1),(76,1)}
        50:{1,3,5,7}:{(26,1),(27,1),(30,1),(34,1),(73,1),(76,1),(82,1)}
        51:{2,3,6}:{(28,1),(29,1),(70,1),(77,1)}
        52:{2,4,7}:{(29,1),(30,1),(76,1),(77,1)}
        53:{2,5,6,7}:{(31,1),(32,1),(78,1),(170,1)}
        54:{1,4,6,7}:{(32,1),(34,1),(73,1),(78,1),(80,1)}
        55:{3,4,5}:{(74,1),(81,1)}
        56:{3,5,6}:{(33,1),(81,1),(82,1)}
        57:{2,4,5,7}:{(33,1),(34,1),(76,1),(80,1),(82,1),(126,1),(158,1),(159,1)}
        58:{2,4,5,6}:{(35,1),(36,1),(85,1),(86,1),(103,1),(143,1)}
        59:{3,4,5,7}:{(35,1),(84,1),(86,1),(108,1),(147,1)}
        60:{2,3,4,6}:{(37,1),(42,1),(87,1),(89,1),(92,1),(136,1),(138,1)}
        61:{1,3,5,6}:{(36,1),(39,1),(85,1),(90,1),(91,1),(133,1)}
        62:{2,3,5,7}:{(36,1),(40,1),(86,1),(88,1),(91,1)}
        63:{2,3,5}:{(37,1),(38,1),(44,1),(92,1)}
        64:{2,4,6}:{(38,1),(39,1),(90,1),(92,1),(93,1)}
        65:{1,3,4,7}:{(39,1),(40,1),(91,1),(93,1),(99,1),(142,1),(163,1)}
        66:{1,3,4,7}:{(41,1),(42,1),(46,1),(87,1),(94,1),(99,1),(142,1)}
        67:{1,2,5,7}:{(41,1),(43,1),(94,1),(95,1)}
        68:{1,3,5}:{(42,1),(43,1),(48,1),(89,1),(96,1)}
        69:{1,2,5,6}:{(43,1),(45,1),(49,1),(90,1),(95,1),(97,1),(98,1)}
        70:{1,3,6}:{(44,1),(45,1),(51,1),(92,1),(99,1)}
        71:{1,2,4,7}:{(45,1),(52,1),(93,1),(98,1),(99,1),(142,1)}
        72:{2,3,5,7}:{(46,1),(48,1),(94,1),(100,1),(101,1)}
        73:{1,3,6,7}:{(47,1),(50,1),(54,1),(102,1),(107,1)}
        74:{2,4,5}:{(48,1),(55,1),(96,1),(103,1)}
        75:{2,3,5,6}:{(48,1),(49,1),(51,1),(56,1),(97,1),(101,1),(103,1),(104,1),(143,1)}
        76:{2,5,7}:{(49,1),(50,1),(52,1),(102,1)}
        77:{2,3,7}:{(51,1),(52,1),(99,1)}
        78:{1,5,6,7}:{(53,1),(54,1),(105,1),(166,1)}
        79:{3,4,5,7}:{(55,1),(100,1),(106,1),(108,1),(147,1)}
        80:{2,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(107,1),(146,1)}
        81:{3,4,6}:{(55,1),(56,1),(103,1),(108,1)}
        82:{3,5,7}:{(56,1),(57,1),(107,1),(108,1)}
        83:{4,5,6,7}:{(109,1),(159,1)}
        84:{3,4,6,7}:{(59,1),(109,1),(110,1)}
        85:{1,4,5,6}:{(58,1),(61,1),(111,1),(112,1),(122,1),(156,1)}
        86:{2,4,5,7}:{(58,1),(59,1),(62,1),(110,1),(112,1),(126,1),(158,1)}
        87:{2,3,4,7}:{(60,1),(66,1),(113,1),(118,1),(155,1)}
        88:{2,3,6,7}:{(62,1),(110,1),(114,1)}
        89:{2,3,5}:{(60,1),(68,1),(115,1)}
        90:{2,5,6}:{(61,1),(64,1),(117,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(65,1),(112,1),(114,1),(117,1),(152,1)}
        92:{2,3,6}:{(63,1),(64,1),(70,1),(118,1)}
        93:{2,4,7}:{(64,1),(65,1),(117,1),(118,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(113,1),(119,1),(120,1)}
        95:{1,2,6}:{(67,1),(120,1)}
        96:{1,4,5}:{(68,1),(74,1),(115,1),(122,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(70,1),(75,1),(116,1),(120,1),(122,1),(123,1),(156,1)}
        98:{1,2,5,7}:{(69,1),(71,1),(76,1),(117,1),(121,1),(123,1)}
        99:{1,3,7}:{(70,1),(71,1),(77,1),(118,1)}
       100:{2,4,5,7}:{(72,1),(74,1),(79,1),(119,1),(124,1),(126,1),(158,1)}
       101:{2,3,6}:{(72,1),(120,1),(124,1)}
       102:{2,6,7}:{(73,1),(76,1)}
       103:{2,4,6}:{(74,1),(75,1),(81,1),(122,1),(126,1)}
       104:{2,3,5,7}:{(75,1),(76,1),(77,1),(82,1),(123,1),(125,1),(126,1),(158,1)}
       105:{2,5,6,7}:{(78,1),(80,1),(127,1),(158,1)}
       106:{3,4,6}:{(79,1),(124,1),(128,1)}
       107:{3,6,7}:{(80,1),(82,1)}
       108:{3,4,7}:{(81,1),(82,1),(126,1)}
       109:{3,5,6,7}:{(83,1),(84,1),(130,1),(147,1)}
       110:{2,4,6,7}:{(84,1),(86,1),(88,1),(130,1),(131,1)}
       111:{2,4,5,6}:{(85,1),(90,1),(133,1),(134,1),(138,1),(164,1),(171,1)}
       112:{1,4,5,7}:{(85,1),(86,1),(91,1),(131,1),(134,1),(142,1),(166,1)}
       113:{2,3,5,7}:{(87,1),(89,1),(94,1),(135,1),(136,1)}
       114:{1,3,6,7}:{(88,1),(91,1),(131,1),(137,1),(162,1)}
       115:{2,4,5}:{(89,1),(96,1),(132,1),(138,1)}
       116:{2,3,5,6}:{(89,1),(90,1),(92,1),(97,1),(133,1),(136,1),(138,1),(139,1),(164,1)}
       117:{2,5,7}:{(90,1),(91,1),(93,1),(137,1)}
       118:{2,3,7}:{(92,1),(93,1),(99,1)}
       119:{1,4,5,7}:{(94,1),(96,1),(100,1),(135,1),(140,1),(142,1),(166,1)}
       120:{1,3,6}:{(94,1),(95,1),(101,1),(136,1),(140,1)}
       121:{1,2,6,7}:{(95,1),(98,1),(102,1),(137,1),(141,1)}
       122:{1,4,6}:{(96,1),(97,1),(103,1),(138,1),(142,1)}
       123:{1,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(139,1),(141,1),(142,1),(166,1)}
       124:{2,4,6}:{(100,1),(101,1),(106,1),(140,1),(143,1)}
       125:{2,3,6,7}:{(101,1),(102,1),(104,1),(107,1),(141,1),(144,1)}
       126:{2,4,7}:{(103,1),(104,1),(108,1),(142,1)}
       127:{3,5,6,7}:{(105,1),(107,1),(146,1),(147,1)}
       128:{3,5,6}:{(106,1),(143,1),(145,1),(147,1)}
       129:{3,4,6,7}:{(106,1),(107,1),(108,1),(144,1),(146,1),(147,1)}
       130:{2,5,6,7}:{(109,1),(110,1),(148,1),(158,1)}
       131:{1,4,6,7}:{(110,1),(112,1),(114,1),(148,1),(150,1)}
       132:{3,4,5}:{(115,1),(151,1)}
       133:{3,5,6}:{(111,1),(151,1),(152,1)}
       134:{2,4,5,7}:{(111,1),(112,1),(117,1),(150,1),(152,1),(155,1),(170,1),(174,1)}
       135:{2,4,5,7}:{(113,1),(115,1),(119,1),(149,1),(153,1),(155,1),(170,1)}
       136:{2,3,6}:{(113,1),(120,1),(153,1)}
       137:{2,6,7}:{(114,1),(117,1)}
       138:{2,4,6}:{(115,1),(116,1),(122,1),(151,1),(155,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(152,1),(154,1),(155,1),(170,1)}
       140:{1,4,6}:{(119,1),(120,1),(124,1),(153,1),(156,1)}
       141:{1,3,6,7}:{(120,1),(121,1),(123,1),(125,1),(154,1),(157,1)}
       142:{1,4,7}:{(122,1),(123,1),(126,1),(155,1)}
       143:{2,5,6}:{(124,1),(128,1),(156,1),(158,1)}
       144:{2,4,6,7}:{(124,1),(125,1),(126,1),(129,1),(157,1),(158,1)}
       145:{4,5,6}:{(128,1),(159,1)}
       146:{4,6,7}:{(127,1),(159,1)}
       147:{3,5,7}:{(128,1),(129,1),(158,1),(159,1)}
       148:{1,5,6,7}:{(130,1),(131,1),(160,1),(166,1)}
       149:{3,4,5,7}:{(132,1),(135,1),(161,1),(163,1),(173,1)}
       150:{2,4,6,7}:{(131,1),(134,1),(137,1),(160,1),(162,1),(172,1)}
       151:{3,4,6}:{(132,1),(133,1),(138,1),(163,1)}
       152:{3,5,7}:{(133,1),(134,1),(162,1),(163,1)}
       153:{2,4,6}:{(135,1),(136,1),(140,1),(161,1),(164,1)}
       154:{2,3,6,7}:{(136,1),(137,1),(139,1),(141,1),(162,1),(165,1)}
       155:{2,4,7}:{(138,1),(139,1),(142,1),(163,1)}
       156:{1,5,6}:{(140,1),(143,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(140,1),(141,1),(142,1),(144,1),(165,1),(166,1)}
       158:{2,5,7}:{(143,1),(144,1),(147,1),(166,1)}
       159:{4,5,7}:{(145,1),(146,1),(147,1)}
       160:{2,5,6,7}:{(148,1),(150,1),(167,1),(170,1)}
       161:{3,4,6}:{(149,1),(153,1),(168,1)}
       162:{3,6,7}:{(150,1),(152,1)}
       163:{3,4,7}:{(151,1),(152,1),(155,1)}
       164:{2,5,6}:{(153,1),(156,1),(168,1),(170,1)}
       165:{2,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(169,1),(170,1)}
       166:{1,5,7}:{(156,1),(157,1),(158,1),(170,1)}
       167:{3,5,6,7}:{(160,1),(162,1),(172,1),(173,1)}
       168:{3,5,6}:{(161,1),(164,1),(171,1),(173,1)}
       169:{3,4,6,7}:{(161,1),(162,1),(163,1),(165,1),(172,1),(173,1)}
       170:{2,5,7}:{(164,1),(165,1),(166,1),(173,1)}
       171:{4,5,6}:{(168,1),(174,1)}
       172:{4,6,7}:{(167,1),(174,1)}
       173:{3,5,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2734 :   0:{2,3,4,5}:{(2,1),(3,1),(53,1),(142,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(139,1),(173,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(77,1),(122,1)}
         3:{1,3,4,5}:{(0,1),(9,1),(10,1),(34,1),(93,1),(127,1)}
         4:{3,4,5,7}:{(1,1),(12,1),(13,1),(153,1),(169,1)}
         5:{2,4,5,6}:{(1,1),(7,1),(13,1),(14,1),(122,1),(171,1)}
         6:{2,3,4,5}:{(15,1),(16,1),(23,1),(111,1)}
         7:{2,3,5,6}:{(2,1),(5,1),(19,1),(20,1)}
         8:{2,3,4,7}:{(2,1),(19,1),(21,1),(101,1),(141,1)}
         9:{1,3,4,6}:{(2,1),(3,1),(20,1),(21,1),(22,1),(56,1),(68,1),(105,1)}
        10:{2,4,5}:{(3,1),(22,1),(23,1)}
        11:{4,5,6,7}:{(24,1),(172,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(25,1)}
        13:{2,4,5,7}:{(4,1),(5,1),(19,1),(25,1),(26,1),(141,1),(165,1)}
        14:{1,4,5,6}:{(5,1),(20,1),(26,1),(27,1),(105,1),(167,1)}
        15:{2,3,4,6}:{(6,1),(29,1),(30,1),(31,1),(41,1),(87,1)}
        16:{1,3,4,5}:{(6,1),(31,1),(32,1),(34,1),(127,1),(154,1)}
        17:{1,2,4,5}:{(10,1),(32,1),(33,1),(34,1),(36,1),(84,1),(127,1)}
        18:{1,2,3,5}:{(34,1),(35,1),(36,1),(84,1)}
        19:{2,3,5,7}:{(7,1),(8,1),(13,1),(37,1),(38,1)}
        20:{1,3,5,6}:{(7,1),(9,1),(14,1),(38,1),(39,1),(46,1)}
        21:{1,3,4,7}:{(8,1),(9,1),(38,1),(40,1),(81,1),(92,1),(126,1)}
        22:{2,4,6}:{(9,1),(10,1),(39,1),(40,1),(41,1)}
        23:{2,3,5}:{(10,1),(34,1),(41,1),(42,1)}
        24:{3,5,6,7}:{(11,1),(12,1),(43,1),(169,1)}
        25:{2,4,6,7}:{(12,1),(13,1),(37,1),(43,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(38,1),(44,1),(45,1),(126,1),(158,1)}
        27:{2,4,5,6}:{(14,1),(39,1),(45,1),(46,1),(87,1),(160,1),(161,1)}
        28:{3,4,5,6}:{(47,1),(48,1),(68,1),(150,1)}
        29:{2,3,5,6}:{(15,1),(48,1),(49,1),(50,1)}
        30:{2,3,4,7}:{(15,1),(49,1),(51,1),(63,1),(110,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(50,1),(51,1),(52,1),(56,1),(105,1),(139,1)}
        32:{2,4,5}:{(16,1),(52,1),(53,1)}
        33:{1,2,4,6}:{(17,1),(22,1),(52,1),(54,1),(55,1),(56,1),(105,1)}
        34:{1,3,5}:{(17,1),(23,1),(53,1),(56,1),(57,1)}
        35:{1,2,3,6}:{(18,1),(56,1),(58,1),(59,1)}
        36:{1,2,4}:{(18,1),(57,1)}
        37:{2,3,6,7}:{(19,1),(25,1),(60,1)}
        38:{1,3,5,7}:{(19,1),(20,1),(21,1),(26,1),(60,1),(61,1),(67,1)}
        39:{2,5,6}:{(20,1),(22,1),(61,1)}
        40:{2,4,7}:{(21,1),(22,1),(61,1),(63,1)}
        41:{2,3,6}:{(22,1),(23,1),(56,1),(63,1)}
        42:{2,3,4}:{(23,1),(57,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(65,1),(165,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(60,1),(65,1),(66,1)}
        45:{2,4,5,7}:{(26,1),(27,1),(61,1),(66,1),(67,1),(110,1),(147,1),(149,1)}
        46:{3,5,6}:{(27,1),(67,1),(68,1)}
        47:{3,4,5,7}:{(28,1),(70,1),(71,1),(92,1),(134,1)}
        48:{2,4,5,6}:{(28,1),(29,1),(71,1),(72,1),(87,1),(160,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(71,1),(73,1),(74,1)}
        50:{1,3,5,6}:{(29,1),(31,1),(72,1),(74,1),(75,1),(119,1)}
        51:{1,3,4,7}:{(30,1),(31,1),(74,1),(76,1),(81,1),(126,1),(153,1)}
        52:{2,4,6}:{(31,1),(32,1),(75,1),(76,1),(77,1)}
        53:{2,3,5}:{(32,1),(34,1),(77,1),(78,1)}
        54:{1,2,5,6}:{(33,1),(39,1),(75,1),(79,1),(80,1),(84,1),(129,1)}
        55:{1,2,4,7}:{(33,1),(40,1),(76,1),(79,1),(81,1),(126,1)}
        56:{1,3,6}:{(33,1),(34,1),(41,1),(77,1),(81,1)}
        57:{1,3,4}:{(34,1),(36,1),(42,1),(78,1)}
        58:{1,2,3,7}:{(35,1),(81,1),(83,1)}
        59:{1,2,4,6}:{(35,1),(36,1),(82,1),(83,1),(84,1),(129,1)}
        60:{1,3,6,7}:{(37,1),(38,1),(44,1),(85,1),(91,1)}
        61:{2,5,7}:{(38,1),(39,1),(40,1),(85,1)}
        62:{2,3,5,6}:{(39,1),(41,1),(46,1),(80,1),(86,1),(87,1),(89,1),(132,1),(160,1)}
        63:{2,3,7}:{(40,1),(41,1),(81,1)}
        64:{2,3,4,6}:{(41,1),(42,1),(82,1),(87,1),(88,1),(89,1),(132,1)}
        65:{1,5,6,7}:{(43,1),(44,1),(90,1),(158,1)}
        66:{2,4,6,7}:{(44,1),(45,1),(85,1),(90,1),(91,1),(133,1)}
        67:{3,5,7}:{(45,1),(46,1),(91,1),(92,1)}
        68:{3,4,6}:{(46,1),(87,1),(92,1),(93,1)}
        69:{4,5,6,7}:{(94,1),(149,1)}
        70:{3,4,6,7}:{(47,1),(94,1),(95,1)}
        71:{2,4,5,7}:{(47,1),(48,1),(49,1),(95,1),(96,1),(110,1),(147,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(96,1),(97,1),(105,1),(167,1)}
        73:{2,3,6,7}:{(49,1),(95,1),(98,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(96,1),(98,1),(99,1),(138,1)}
        75:{2,5,6}:{(50,1),(52,1),(99,1)}
        76:{2,4,7}:{(51,1),(52,1),(99,1),(101,1)}
        77:{2,3,6}:{(52,1),(53,1),(56,1),(101,1)}
        78:{2,3,4}:{(53,1),(57,1)}
        79:{1,2,5,7}:{(54,1),(55,1),(61,1),(99,1),(103,1),(104,1)}
        80:{1,3,5,6}:{(54,1),(56,1),(62,1),(100,1),(104,1),(105,1),(107,1),(146,1),(167,1)}
        81:{1,3,7}:{(55,1),(56,1),(63,1),(101,1)}
        82:{1,3,4,6}:{(56,1),(57,1),(59,1),(64,1),(102,1),(105,1),(106,1),(107,1),(146,1)}
        83:{1,2,4,7}:{(58,1),(59,1),(106,1),(108,1)}
        84:{1,2,5}:{(59,1),(107,1)}
        85:{2,6,7}:{(60,1),(61,1)}
        86:{2,3,5,7}:{(61,1),(62,1),(63,1),(67,1),(104,1),(109,1),(110,1),(147,1)}
        87:{2,4,6}:{(62,1),(68,1),(105,1),(110,1),(111,1)}
        88:{2,3,4,7}:{(63,1),(64,1),(106,1),(110,1),(112,1)}
        89:{2,3,5}:{(64,1),(107,1),(111,1)}
        90:{2,5,6,7}:{(65,1),(66,1),(113,1),(147,1)}
        91:{3,6,7}:{(66,1),(67,1)}
        92:{3,4,7}:{(67,1),(68,1),(110,1)}
        93:{3,4,5}:{(68,1),(111,1)}
        94:{3,5,6,7}:{(69,1),(70,1),(116,1),(134,1)}
        95:{2,4,6,7}:{(70,1),(71,1),(73,1),(116,1),(117,1)}
        96:{1,4,5,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(126,1),(158,1)}
        97:{2,4,5,6}:{(72,1),(75,1),(118,1),(119,1),(122,1),(171,1),(174,1)}
        98:{1,3,6,7}:{(73,1),(74,1),(117,1),(120,1),(152,1)}
        99:{2,5,7}:{(74,1),(75,1),(76,1),(120,1)}
       100:{2,3,5,6}:{(75,1),(77,1),(80,1),(119,1),(121,1),(122,1),(124,1),(157,1),(171,1)}
       101:{2,3,7}:{(76,1),(77,1),(81,1)}
       102:{2,3,4,6}:{(77,1),(78,1),(82,1),(122,1),(123,1),(124,1),(157,1)}
       103:{1,2,6,7}:{(79,1),(85,1),(120,1),(125,1),(129,1)}
       104:{1,3,5,7}:{(79,1),(80,1),(81,1),(86,1),(121,1),(125,1),(126,1),(158,1)}
       105:{1,4,6}:{(80,1),(87,1),(122,1),(126,1),(127,1)}
       106:{1,3,4,7}:{(81,1),(82,1),(83,1),(88,1),(123,1),(126,1),(128,1)}
       107:{1,3,5}:{(82,1),(84,1),(89,1),(124,1),(127,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(128,1),(129,1)}
       109:{2,3,6,7}:{(85,1),(86,1),(91,1),(125,1),(130,1),(132,1)}
       110:{2,4,7}:{(86,1),(87,1),(92,1),(126,1)}
       111:{2,4,5}:{(87,1),(89,1),(93,1),(127,1)}
       112:{2,3,5,7}:{(88,1),(89,1),(128,1),(131,1),(132,1)}
       113:{3,5,6,7}:{(90,1),(91,1),(133,1),(134,1)}
       114:{3,4,6,7}:{(91,1),(92,1),(130,1),(133,1),(134,1),(135,1)}
       115:{3,4,5,7}:{(92,1),(93,1),(131,1),(134,1),(135,1)}
       116:{2,5,6,7}:{(94,1),(95,1),(136,1),(147,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(136,1),(137,1)}
       118:{2,4,5,7}:{(96,1),(97,1),(99,1),(137,1),(138,1),(141,1),(165,1),(172,1)}
       119:{3,5,6}:{(97,1),(138,1),(139,1)}
       120:{2,6,7}:{(98,1),(99,1)}
       121:{2,3,5,7}:{(99,1),(100,1),(101,1),(104,1),(138,1),(140,1),(141,1),(165,1)}
       122:{2,4,6}:{(100,1),(105,1),(139,1),(141,1),(142,1)}
       123:{2,3,4,7}:{(101,1),(102,1),(106,1),(141,1),(143,1)}
       124:{2,3,5}:{(102,1),(107,1),(142,1)}
       125:{1,3,6,7}:{(103,1),(104,1),(109,1),(140,1),(144,1),(146,1)}
       126:{1,4,7}:{(104,1),(105,1),(110,1),(141,1)}
       127:{1,4,5}:{(105,1),(107,1),(111,1),(142,1)}
       128:{1,3,5,7}:{(106,1),(107,1),(108,1),(112,1),(143,1),(145,1),(146,1)}
       129:{1,2,6}:{(108,1),(146,1)}
       130:{2,4,6,7}:{(109,1),(110,1),(114,1),(144,1),(147,1),(148,1)}
       131:{2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(145,1),(147,1),(148,1)}
       132:{2,3,6}:{(112,1),(146,1),(148,1)}
       133:{4,6,7}:{(113,1),(149,1)}
       134:{3,5,7}:{(114,1),(147,1),(149,1),(150,1)}
       135:{3,4,6}:{(115,1),(148,1),(150,1)}
       136:{1,5,6,7}:{(116,1),(117,1),(151,1),(158,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(120,1),(151,1),(152,1),(168,1)}
       138:{3,5,7}:{(118,1),(119,1),(152,1),(153,1)}
       139:{3,4,6}:{(119,1),(122,1),(153,1),(154,1)}
       140:{2,3,6,7}:{(120,1),(121,1),(125,1),(152,1),(155,1),(157,1)}
       141:{2,4,7}:{(121,1),(122,1),(126,1),(153,1)}
       142:{2,4,5}:{(122,1),(124,1),(127,1),(154,1)}
       143:{2,3,5,7}:{(123,1),(124,1),(128,1),(156,1),(157,1)}
       144:{1,4,6,7}:{(125,1),(126,1),(130,1),(155,1),(158,1),(159,1)}
       145:{1,4,5,7}:{(126,1),(127,1),(128,1),(131,1),(156,1),(158,1),(159,1)}
       146:{1,3,6}:{(128,1),(129,1),(132,1),(157,1),(159,1)}
       147:{2,5,7}:{(130,1),(134,1),(158,1),(160,1)}
       148:{2,4,6}:{(131,1),(132,1),(135,1),(159,1),(160,1)}
       149:{4,5,7}:{(133,1),(134,1),(161,1)}
       150:{3,5,6}:{(134,1),(135,1),(160,1),(161,1)}
       151:{2,5,6,7}:{(136,1),(137,1),(162,1),(165,1)}
       152:{3,6,7}:{(137,1),(138,1)}
       153:{3,4,7}:{(138,1),(139,1),(141,1)}
       154:{3,4,5}:{(139,1),(142,1)}
       155:{2,4,6,7}:{(140,1),(141,1),(144,1),(163,1),(165,1),(166,1)}
       156:{2,4,5,7}:{(141,1),(142,1),(143,1),(145,1),(164,1),(165,1),(166,1)}
       157:{2,3,6}:{(143,1),(146,1),(166,1)}
       158:{1,5,7}:{(144,1),(147,1),(165,1),(167,1)}
       159:{1,4,6}:{(145,1),(146,1),(148,1),(166,1),(167,1)}
       160:{2,5,6}:{(147,1),(148,1),(150,1),(167,1)}
       161:{4,5,6}:{(149,1),(150,1)}
       162:{3,5,6,7}:{(151,1),(152,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(153,1),(155,1),(168,1),(169,1),(170,1)}
       164:{3,4,5,7}:{(153,1),(154,1),(156,1),(169,1),(170,1)}
       165:{2,5,7}:{(155,1),(158,1),(169,1),(171,1)}
       166:{2,4,6}:{(156,1),(157,1),(159,1),(170,1),(171,1)}
       167:{1,5,6}:{(158,1),(159,1),(160,1),(171,1)}
       168:{4,6,7}:{(162,1),(172,1)}
       169:{3,5,7}:{(163,1),(165,1),(172,1),(173,1)}
       170:{3,4,6}:{(164,1),(166,1),(173,1)}
       171:{2,5,6}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2735 :   0:{4,5,6,7}:{(3,1),(123,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(100,1),(124,1)}
         2:{2,3,4,5}:{(6,1),(7,1),(46,1),(102,1)}
         3:{3,5,6,7}:{(0,1),(8,1),(9,1),(120,1)}
         4:{3,4,5,7}:{(1,1),(8,1),(11,1),(110,1),(120,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(11,1),(12,1),(87,1),(121,1)}
         6:{2,3,4,6}:{(2,1),(10,1),(13,1),(14,1),(61,1),(87,1)}
         7:{1,3,4,5}:{(2,1),(14,1),(15,1),(34,1),(60,1),(89,1)}
         8:{3,4,6,7}:{(3,1),(4,1),(16,1)}
         9:{2,5,6,7}:{(3,1),(16,1),(17,1),(116,1)}
        10:{2,3,5,6}:{(5,1),(6,1),(18,1),(19,1)}
        11:{2,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(20,1),(101,1),(116,1)}
        12:{1,4,5,6}:{(5,1),(19,1),(20,1),(21,1),(73,1),(117,1)}
        13:{2,3,4,7}:{(6,1),(18,1),(23,1),(77,1),(101,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(19,1),(23,1),(24,1),(45,1),(48,1),(73,1)}
        15:{2,4,5}:{(7,1),(24,1),(25,1)}
        16:{2,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(27,1)}
        17:{1,5,6,7}:{(9,1),(27,1),(28,1),(108,1)}
        18:{2,3,5,7}:{(10,1),(11,1),(13,1),(26,1),(29,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(14,1),(29,1),(30,1),(32,1)}
        20:{1,4,5,7}:{(11,1),(12,1),(27,1),(29,1),(31,1),(88,1),(108,1)}
        21:{2,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(58,1),(85,1),(109,1)}
        22:{1,2,4,5}:{(15,1),(33,1),(34,1),(62,1),(89,1),(93,1)}
        23:{1,3,4,7}:{(13,1),(14,1),(29,1),(35,1),(59,1),(63,1),(88,1)}
        24:{2,4,6}:{(14,1),(15,1),(30,1),(35,1),(36,1)}
        25:{2,3,5}:{(15,1),(34,1),(36,1),(37,1)}
        26:{2,3,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(20,1),(38,1),(39,1)}
        28:{2,5,6,7}:{(17,1),(39,1),(40,1),(98,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(23,1),(38,1),(42,1),(44,1)}
        30:{2,5,6}:{(19,1),(24,1),(42,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(39,1),(42,1),(44,1),(70,1),(74,1),(98,1)}
        32:{3,5,6}:{(21,1),(44,1),(45,1)}
        33:{1,2,4,6}:{(22,1),(24,1),(41,1),(47,1),(48,1),(73,1),(78,1)}
        34:{1,3,5}:{(22,1),(25,1),(46,1),(48,1),(49,1)}
        35:{2,4,7}:{(23,1),(24,1),(42,1),(50,1)}
        36:{2,3,6}:{(24,1),(25,1),(48,1),(50,1)}
        37:{2,3,4}:{(25,1),(49,1)}
        38:{1,3,6,7}:{(26,1),(27,1),(29,1),(52,1),(53,1)}
        39:{2,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(53,1),(54,1)}
        40:{3,5,6,7}:{(28,1),(53,1),(54,1),(84,1)}
        41:{1,2,5,6}:{(30,1),(33,1),(55,1),(56,1),(93,1),(114,1)}
        42:{2,5,7}:{(29,1),(30,1),(35,1),(52,1)}
        43:{2,3,5,6}:{(30,1),(32,1),(36,1),(56,1),(57,1),(58,1),(66,1),(95,1),(109,1)}
        44:{3,5,7}:{(31,1),(32,1),(53,1),(59,1)}
        45:{3,4,6}:{(32,1),(58,1),(59,1),(60,1)}
        46:{2,3,5}:{(34,1),(61,1),(62,1),(93,1)}
        47:{1,2,4,7}:{(33,1),(35,1),(55,1),(63,1),(88,1),(92,1)}
        48:{1,3,6}:{(33,1),(34,1),(36,1),(61,1),(63,1)}
        49:{1,3,4}:{(34,1),(37,1),(62,1)}
        50:{2,3,7}:{(35,1),(36,1),(63,1)}
        51:{2,3,4,6}:{(36,1),(37,1),(58,1),(64,1),(65,1),(66,1),(95,1)}
        52:{2,6,7}:{(38,1),(42,1)}
        53:{3,6,7}:{(39,1),(44,1)}
        54:{4,6,7}:{(40,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(47,1),(67,1),(72,1),(105,1)}
        56:{1,3,5,6}:{(41,1),(43,1),(48,1),(71,1),(72,1),(73,1),(80,1),(106,1),(117,1)}
        57:{2,3,5,7}:{(42,1),(43,1),(44,1),(50,1),(68,1),(72,1),(74,1),(98,1)}
        58:{2,4,6}:{(43,1),(45,1),(73,1),(74,1),(75,1)}
        59:{3,4,7}:{(44,1),(45,1),(74,1)}
        60:{3,4,5}:{(45,1),(75,1)}
        61:{2,3,6}:{(46,1),(48,1),(77,1),(78,1)}
        62:{2,4}:{(46,1),(49,1)}
        63:{1,3,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,3,4,6}:{(48,1),(49,1),(51,1),(73,1),(78,1),(79,1),(80,1),(100,1),(106,1)}
        65:{2,3,4,7}:{(50,1),(51,1),(74,1),(79,1),(81,1)}
        66:{2,3,5}:{(51,1),(75,1),(80,1)}
        67:{1,2,6,7}:{(52,1),(55,1),(82,1),(114,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(57,1),(82,1),(83,1),(95,1)}
        69:{3,4,6,7}:{(53,1),(54,1),(59,1),(83,1),(84,1),(91,1)}
        70:{4,5,7}:{(54,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(61,1),(86,1),(87,1),(93,1),(111,1),(114,1),(121,1),(122,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(63,1),(82,1),(86,1),(88,1),(108,1)}
        73:{1,4,6}:{(56,1),(58,1),(87,1),(88,1),(89,1)}
        74:{2,4,7}:{(57,1),(58,1),(59,1),(88,1)}
        75:{2,4,5}:{(58,1),(60,1),(66,1),(89,1)}
        76:{3,4,5,7}:{(59,1),(60,1),(84,1),(90,1),(91,1)}
        77:{2,3,7}:{(61,1),(63,1),(92,1)}
        78:{2,4,6}:{(61,1),(62,1),(64,1),(92,1),(93,1),(114,1)}
        79:{1,3,4,7}:{(63,1),(64,1),(65,1),(88,1),(92,1),(94,1),(110,1)}
        80:{1,3,5}:{(64,1),(66,1),(89,1),(93,1),(111,1)}
        81:{2,3,5,7}:{(65,1),(66,1),(90,1),(94,1),(95,1)}
        82:{1,3,6,7}:{(67,1),(68,1),(72,1),(96,1),(97,1),(106,1)}
        83:{2,4,6,7}:{(68,1),(69,1),(74,1),(97,1),(98,1),(104,1)}
        84:{3,5,7}:{(69,1),(70,1),(98,1),(99,1)}
        85:{4,5,6}:{(70,1),(99,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1),(101,1),(105,1),(116,1),(118,1)}
        87:{2,4,6}:{(71,1),(73,1),(100,1),(101,1),(102,1)}
        88:{1,4,7}:{(72,1),(73,1),(74,1),(101,1)}
        89:{1,4,5}:{(73,1),(75,1),(80,1),(102,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(76,1),(81,1),(98,1),(103,1),(104,1)}
        91:{3,4,6}:{(76,1),(99,1),(104,1)}
        92:{2,4,7}:{(77,1),(78,1),(79,1),(105,1)}
        93:{2,5}:{(78,1),(80,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(81,1),(103,1),(105,1),(106,1),(118,1)}
        95:{2,3,6}:{(81,1),(104,1),(106,1)}
        96:{2,3,6,7}:{(82,1),(86,1),(107,1),(114,1),(122,1)}
        97:{1,4,6,7}:{(82,1),(83,1),(88,1),(107,1),(108,1),(113,1)}
        98:{2,5,7}:{(83,1),(84,1),(108,1),(109,1)}
        99:{3,5,6}:{(84,1),(85,1),(91,1),(109,1)}
       100:{3,4,6}:{(87,1),(110,1),(111,1),(122,1)}
       101:{2,4,7}:{(86,1),(87,1),(88,1),(110,1)}
       102:{2,4,5}:{(87,1),(89,1),(93,1),(111,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(90,1),(94,1),(108,1),(112,1),(113,1)}
       104:{2,4,6}:{(90,1),(91,1),(95,1),(109,1),(113,1)}
       105:{2,5,7}:{(92,1),(93,1),(94,1),(114,1)}
       106:{1,3,6}:{(94,1),(95,1),(113,1),(114,1),(122,1)}
       107:{2,4,6,7}:{(96,1),(97,1),(101,1),(115,1),(116,1),(119,1)}
       108:{1,5,7}:{(97,1),(98,1),(116,1),(117,1)}
       109:{2,5,6}:{(98,1),(99,1),(104,1),(117,1)}
       110:{3,4,7}:{(100,1),(101,1),(118,1)}
       111:{3,5}:{(100,1),(102,1)}
       112:{2,4,5,7}:{(101,1),(102,1),(103,1),(105,1),(116,1),(118,1),(119,1),(123,1)}
       113:{1,4,6}:{(103,1),(104,1),(106,1),(117,1),(119,1)}
       114:{2,6}:{(105,1),(106,1)}
       115:{3,4,6,7}:{(107,1),(110,1),(120,1),(122,1),(125,1)}
       116:{2,5,7}:{(107,1),(108,1),(120,1),(121,1)}
       117:{1,5,6}:{(108,1),(109,1),(113,1),(121,1)}
       118:{3,5,7}:{(110,1),(111,1),(112,1),(122,1)}
       119:{2,4,6}:{(112,1),(113,1),(114,1),(121,1),(122,1),(125,1)}
       120:{3,5,7}:{(115,1),(116,1),(123,1),(124,1)}
       121:{2,5,6}:{(116,1),(117,1),(119,1),(124,1)}
       122:{3,6}:{(118,1),(119,1)}
       123:{4,5,7}:{(120,1),(125,1)}
       124:{3,5,6}:{(120,1),(121,1),(122,1),(125,1)}
       125:{4,6}:{(123,1),(124,1)}

2736 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(13,1),(14,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(14,1),(15,1)}
       12:{1,3,4,5,6}:{(9,1),(16,1),(17,1)}
       13:{2,3,4,5,7}:{(9,1),(10,1),(17,1),(18,1)}
       14:{1,3,4,6,7}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,2,5,6,7}:{(11,1),(19,1)}
       16:{1,2,4,5,6}:{(12,1),(20,1),(21,1)}
       17:{1,3,4,5,7}:{(12,1),(13,1),(21,1),(22,1)}
       18:{2,3,4,6,7}:{(13,1),(14,1),(22,1),(23,1)}
       19:{1,3,5,6,7}:{(14,1),(15,1),(23,1),(24,1)}
       20:{1,2,3,5,6}:{(16,1),(25,1),(26,1)}
       21:{1,2,4,5,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(27,1),(28,1)}
       23:{2,3,5,6,7}:{(18,1),(19,1),(28,1),(29,1)}
       24:{1,4,5,6,7}:{(19,1),(29,1)}
       25:{1,2,3,4,6}:{(20,1),(30,1),(31,1)}
       26:{1,2,3,5,7}:{(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,4,6,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,3,5,6,7}:{(22,1),(23,1),(33,1),(34,1)}
       29:{2,4,5,6,7}:{(23,1),(24,1),(34,1),(35,1)}
       30:{1,2,3,4,5}:{(25,1)}
       31:{1,2,3,4,7}:{(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,5,6,7}:{(27,1),(28,1)}
       34:{1,4,5,6,7}:{(28,1),(29,1)}
       35:{3,4,5,6,7}:{(29,1)}

2737 :   0:{1,2,3,4,6}:{(4,1),(5,1),(6,1),(25,1)}
         1:{1,2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(25,1),(53,1)}
         2:{1,2,4,5,6}:{(6,1),(8,1),(9,1),(10,1),(53,1),(82,1)}
         3:{1,3,4,5,6}:{(8,1),(10,1),(11,1),(82,1),(107,1)}
         4:{1,2,3,5}:{(0,1),(12,1)}
         5:{1,2,3,4,7}:{(0,1),(13,1),(15,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(12,1),(14,1),(15,1)}
         7:{1,2,3,5,7}:{(1,1),(15,1),(16,1),(18,1),(42,1)}
         8:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1)}
         9:{1,2,4,5,7}:{(2,1),(15,1),(18,1),(19,1),(21,1),(42,1),(72,1)}
        10:{2,4,5,6}:{(3,1),(17,1),(20,1),(21,1)}
        11:{1,3,4,5,7}:{(3,1),(18,1),(21,1),(22,1),(72,1),(99,1)}
        12:{1,2,4,5}:{(4,1),(6,1),(23,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(25,1),(149,1),(152,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(23,1),(26,1),(27,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(27,1)}
        16:{1,2,3,6,7}:{(7,1),(25,1),(28,1),(31,1),(149,1)}
        17:{2,3,5,6}:{(8,1),(10,1),(26,1),(29,1),(30,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(27,1),(30,1),(31,1)}
        19:{1,2,4,6,7}:{(9,1),(31,1),(32,1),(34,1),(61,1)}
        20:{1,4,5,6}:{(10,1),(29,1),(33,1)}
        21:{2,4,5,7}:{(10,1),(11,1),(30,1),(33,1),(34,1)}
        22:{1,3,4,6,7}:{(11,1),(31,1),(34,1),(35,1),(61,1),(89,1)}
        23:{1,3,4,5}:{(12,1),(14,1),(36,1)}
        24:{1,2,4,5,7}:{(12,1),(13,1),(15,1),(37,1),(38,1),(42,1),(146,1),(150,1)}
        25:{1,2,3,6}:{(13,1),(38,1)}
        26:{2,3,4,6}:{(14,1),(17,1),(36,1),(39,1),(40,1)}
        27:{1,3,4,7}:{(14,1),(15,1),(18,1),(40,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(38,1),(41,1),(42,1),(137,1),(146,1)}
        29:{1,3,5,6}:{(17,1),(20,1),(39,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(17,1),(18,1),(21,1),(40,1),(44,1),(45,1)}
        31:{1,3,6,7}:{(18,1),(19,1),(45,1)}
        32:{1,2,5,6,7}:{(19,1),(42,1),(46,1),(48,1),(137,1)}
        33:{1,4,5,7}:{(20,1),(21,1),(44,1),(47,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(45,1),(47,1),(48,1)}
        35:{1,3,5,6,7}:{(22,1),(48,1),(49,1),(77,1)}
        36:{2,3,4,5}:{(23,1),(26,1),(50,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(27,1),(51,1),(52,1),(57,1),(141,1),(147,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(52,1),(53,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(50,1),(54,1),(55,1)}
        40:{2,3,4,7}:{(26,1),(27,1),(30,1),(55,1)}
        41:{1,3,4,6,7}:{(27,1),(28,1),(31,1),(52,1),(56,1),(57,1),(61,1),(130,1),(141,1)}
        42:{1,2,5,7}:{(28,1),(53,1),(57,1)}
        43:{1,2,5,6}:{(29,1),(54,1),(58,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(33,1),(55,1),(58,1),(59,1)}
        45:{2,3,6,7}:{(30,1),(31,1),(34,1),(59,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(57,1),(60,1),(61,1),(113,1),(130,1)}
        47:{1,4,6,7}:{(33,1),(34,1),(59,1),(62,1)}
        48:{2,5,6,7}:{(34,1),(35,1),(62,1)}
        49:{1,4,5,6,7}:{(35,1),(61,1),(63,1),(113,1)}
        50:{1,3,4,5}:{(36,1),(39,1),(64,1)}
        51:{2,3,4,5,7}:{(36,1),(37,1),(40,1),(65,1),(66,1),(71,1),(135,1),(143,1)}
        52:{1,3,4,6}:{(37,1),(38,1),(66,1),(67,1)}
        53:{1,2,5,6}:{(38,1),(42,1),(67,1)}
        54:{1,2,4,6}:{(39,1),(43,1),(64,1),(68,1),(69,1)}
        55:{1,3,4,7}:{(39,1),(40,1),(44,1),(69,1)}
        56:{2,3,4,6,7}:{(40,1),(41,1),(45,1),(66,1),(70,1),(71,1),(75,1),(121,1),(135,1)}
        57:{1,3,5,7}:{(41,1),(42,1),(67,1),(71,1),(72,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(69,1),(73,1)}
        59:{1,3,6,7}:{(44,1),(45,1),(47,1),(73,1)}
        60:{2,3,5,6,7}:{(45,1),(46,1),(48,1),(71,1),(74,1),(75,1),(77,1),(102,1),(121,1)}
        61:{1,4,6,7}:{(46,1),(72,1),(75,1)}
        62:{1,5,6,7}:{(47,1),(48,1)}
        63:{2,4,5,6,7}:{(48,1),(49,1),(75,1),(76,1),(77,1),(102,1)}
        64:{1,2,4,5}:{(50,1),(54,1),(78,1)}
        65:{1,3,4,5,7}:{(50,1),(51,1),(55,1),(79,1),(80,1),(85,1),(127,1),(138,1)}
        66:{2,3,4,6}:{(51,1),(52,1),(80,1),(81,1)}
        67:{1,3,5,6}:{(52,1),(53,1),(57,1),(81,1),(82,1)}
        68:{1,2,3,6}:{(54,1),(78,1),(83,1)}
        69:{1,2,4,7}:{(54,1),(55,1),(58,1),(83,1)}
        70:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(80,1),(84,1),(85,1),(88,1),(111,1),(127,1)}
        71:{2,3,5,7}:{(56,1),(57,1),(81,1),(85,1),(86,1)}
        72:{1,4,5,7}:{(57,1),(61,1),(82,1),(86,1)}
        73:{1,2,6,7}:{(58,1),(59,1)}
        74:{1,3,5,6,7}:{(59,1),(60,1),(62,1),(85,1),(87,1),(88,1),(111,1)}
        75:{2,4,6,7}:{(60,1),(61,1),(86,1),(88,1),(89,1)}
        76:{1,4,5,6,7}:{(62,1),(63,1),(88,1),(90,1)}
        77:{3,5,6,7}:{(63,1),(89,1)}
        78:{1,2,3,5}:{(64,1),(68,1),(91,1)}
        79:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(92,1),(93,1),(97,1),(118,1),(131,1)}
        80:{1,3,4,6}:{(65,1),(66,1),(93,1),(94,1)}
        81:{2,3,5,6}:{(66,1),(67,1),(71,1),(94,1),(95,1)}
        82:{1,4,5,6}:{(67,1),(72,1),(95,1)}
        83:{1,2,3,7}:{(68,1),(69,1)}
        84:{1,2,4,6,7}:{(69,1),(70,1),(73,1),(93,1),(96,1),(97,1),(118,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(94,1),(97,1),(98,1)}
        86:{2,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(98,1),(99,1)}
        87:{1,2,5,6,7}:{(73,1),(74,1),(97,1),(100,1),(102,1)}
        88:{1,4,6,7}:{(74,1),(75,1),(98,1)}
        89:{3,4,6,7}:{(75,1),(77,1),(99,1)}
        90:{1,3,5,6,7}:{(76,1),(77,1),(101,1),(102,1)}
        91:{1,2,3,4}:{(78,1)}
        92:{1,2,3,5,7}:{(78,1),(79,1),(83,1),(103,1),(104,1),(123,1)}
        93:{1,2,4,6}:{(79,1),(80,1),(104,1),(105,1)}
        94:{1,3,5,6}:{(80,1),(81,1),(85,1),(105,1),(106,1)}
        95:{2,4,5,6}:{(81,1),(82,1),(86,1),(106,1),(107,1)}
        96:{1,2,3,6,7}:{(83,1),(84,1),(104,1),(108,1),(111,1)}
        97:{1,2,5,7}:{(84,1),(85,1),(105,1)}
        98:{1,4,5,7}:{(85,1),(86,1),(88,1),(106,1)}
        99:{3,4,5,7}:{(86,1),(89,1),(107,1)}
       100:{1,2,4,6,7}:{(87,1),(88,1),(109,1),(111,1),(112,1)}
       101:{1,3,4,6,7}:{(88,1),(89,1),(90,1),(110,1),(111,1),(112,1)}
       102:{2,5,6,7}:{(90,1),(112,1),(113,1)}
       103:{1,2,3,4,7}:{(91,1),(92,1),(114,1),(118,1)}
       104:{1,2,3,6}:{(92,1),(93,1)}
       105:{1,2,5,6}:{(93,1),(94,1),(97,1)}
       106:{1,4,5,6}:{(94,1),(95,1),(98,1)}
       107:{3,4,5,6}:{(95,1),(99,1)}
       108:{1,2,3,5,7}:{(96,1),(97,1),(115,1),(118,1),(119,1)}
       109:{1,2,4,5,7}:{(97,1),(98,1),(100,1),(116,1),(118,1),(119,1),(120,1)}
       110:{1,3,4,5,7}:{(98,1),(99,1),(101,1),(117,1),(119,1),(120,1)}
       111:{1,3,6,7}:{(100,1),(119,1),(121,1)}
       112:{2,4,6,7}:{(101,1),(102,1),(120,1),(121,1),(122,1)}
       113:{1,5,6,7}:{(102,1),(122,1)}
       114:{1,2,3,4,6}:{(103,1),(104,1),(123,1),(124,1)}
       115:{1,2,3,5,6}:{(104,1),(105,1),(108,1),(123,1),(124,1),(125,1)}
       116:{1,2,4,5,6}:{(105,1),(106,1),(109,1),(124,1),(125,1),(126,1)}
       117:{1,3,4,5,6}:{(106,1),(107,1),(110,1),(125,1),(126,1)}
       118:{1,2,4,7}:{(108,1),(124,1),(127,1)}
       119:{1,3,5,7}:{(109,1),(111,1),(125,1),(127,1),(128,1)}
       120:{2,4,5,7}:{(110,1),(112,1),(126,1),(128,1),(129,1)}
       121:{2,3,6,7}:{(111,1),(112,1),(128,1),(130,1)}
       122:{1,4,6,7}:{(112,1),(113,1),(129,1),(130,1)}
       123:{1,2,3,5}:{(114,1),(131,1)}
       124:{1,2,4,6}:{(115,1),(118,1),(131,1),(132,1)}
       125:{1,3,5,6}:{(116,1),(119,1),(132,1),(133,1)}
       126:{2,4,5,6}:{(117,1),(120,1),(133,1),(134,1)}
       127:{1,3,4,7}:{(118,1),(119,1),(132,1),(135,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(121,1),(133,1),(135,1),(136,1)}
       129:{1,4,5,7}:{(120,1),(122,1),(134,1),(136,1)}
       130:{1,3,6,7}:{(121,1),(122,1),(136,1),(137,1)}
       131:{1,2,4,5}:{(123,1),(124,1),(138,1)}
       132:{1,3,4,6}:{(124,1),(125,1),(127,1),(138,1),(139,1)}
       133:{2,3,5,6}:{(125,1),(126,1),(128,1),(139,1),(140,1)}
       134:{1,4,5,6}:{(126,1),(129,1),(140,1)}
       135:{2,3,4,7}:{(127,1),(128,1),(139,1),(141,1)}
       136:{1,3,5,7}:{(128,1),(129,1),(130,1),(140,1),(141,1),(142,1)}
       137:{1,2,6,7}:{(130,1),(142,1)}
       138:{1,3,4,5}:{(131,1),(132,1),(143,1)}
       139:{2,3,4,6}:{(132,1),(133,1),(135,1),(143,1),(144,1)}
       140:{1,3,5,6}:{(133,1),(134,1),(136,1),(144,1),(145,1)}
       141:{1,3,4,7}:{(135,1),(136,1),(144,1),(146,1)}
       142:{1,2,5,7}:{(136,1),(137,1),(145,1),(146,1)}
       143:{2,3,4,5}:{(138,1),(139,1),(147,1)}
       144:{1,3,4,6}:{(139,1),(140,1),(141,1),(147,1),(148,1)}
       145:{1,2,5,6}:{(140,1),(142,1),(148,1)}
       146:{1,2,4,7}:{(141,1),(142,1),(148,1),(149,1)}
       147:{1,3,4,5}:{(143,1),(144,1),(150,1)}
       148:{1,2,4,6}:{(144,1),(145,1),(146,1),(150,1),(151,1)}
       149:{1,2,3,7}:{(146,1),(151,1)}
       150:{1,2,4,5}:{(147,1),(148,1),(152,1)}
       151:{1,2,3,6}:{(148,1),(149,1),(152,1)}
       152:{1,2,3,5}:{(150,1),(151,1),(153,1)}
       153:{1,2,3,4}:{(152,1)}

2738 :   0:{2,3,4,5,6}:{(1,1),(2,1),(16,1),(99,1)}
         1:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(9,1),(27,1),(93,1),(103,1),(104,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(91,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(10,1),(11,1),(69,1),(93,1)}
         4:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(13,1),(40,1),(69,1)}
         5:{1,2,3,4,6}:{(11,1),(13,1),(14,1),(40,1)}
         6:{2,4,5,6}:{(1,1),(16,1),(17,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(21,1),(43,1),(82,1),(98,1),(100,1)}
         8:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(47,1),(79,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(20,1),(21,1)}
        10:{1,2,4,5,7}:{(3,1),(17,1),(21,1),(22,1),(24,1),(55,1),(82,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1)}
        12:{1,2,3,5,7}:{(4,1),(21,1),(24,1),(25,1),(55,1)}
        13:{1,2,3,5}:{(5,1),(23,1)}
        14:{1,2,3,4,7}:{(5,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(6,1),(27,1),(28,1),(56,1),(102,1),(103,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(27,1),(29,1),(30,1)}
        17:{2,4,5,7}:{(6,1),(7,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(36,1),(60,1),(68,1),(89,1),(92,1)}
        19:{2,3,5,6,7}:{(8,1),(32,1),(33,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(29,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(10,1),(31,1),(36,1),(37,1),(68,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(34,1)}
        24:{1,2,4,7}:{(11,1),(12,1),(35,1)}
        25:{1,2,3,6,7}:{(12,1),(36,1),(39,1),(40,1)}
        26:{1,2,3,5,7}:{(13,1),(14,1),(38,1),(40,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(17,1),(43,1),(44,1),(72,1),(96,1),(98,1)}
        29:{2,3,4,6}:{(16,1),(20,1),(42,1),(45,1),(46,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(21,1),(43,1),(46,1),(47,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(47,1),(48,1)}
        32:{1,3,5,6,7}:{(18,1),(19,1),(48,1),(49,1),(80,1)}
        33:{2,4,5,6,7}:{(19,1),(49,1),(50,1),(79,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(45,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(46,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(47,1)}
        37:{1,2,5,6,7}:{(22,1),(48,1),(53,1),(55,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(51,1),(54,1),(55,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(54,1),(55,1)}
        40:{1,2,3,6}:{(26,1),(54,1)}
        41:{1,2,3,5,6}:{(27,1),(56,1),(57,1),(83,1),(101,1),(102,1)}
        42:{1,3,4,6}:{(27,1),(29,1),(56,1),(58,1),(59,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(30,1),(59,1),(60,1)}
        44:{1,2,4,6,7}:{(28,1),(31,1),(60,1),(61,1),(89,1)}
        45:{2,3,4,5}:{(29,1),(34,1),(58,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(35,1),(59,1)}
        47:{2,3,6,7}:{(30,1),(31,1),(36,1),(60,1)}
        48:{2,5,6,7}:{(31,1),(32,1)}
        49:{1,4,5,6,7}:{(32,1),(33,1),(65,1),(68,1),(89,1)}
        50:{3,4,5,6,7}:{(33,1),(92,1)}
        51:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(62,1),(66,1),(67,1)}
        52:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(63,1),(66,1),(67,1),(68,1)}
        53:{1,3,5,6,7}:{(36,1),(37,1),(64,1),(67,1),(68,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(66,1),(69,1)}
        55:{1,2,5,7}:{(39,1),(67,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(71,1),(72,1)}
        57:{1,2,3,5,7}:{(41,1),(43,1),(72,1),(73,1),(96,1)}
        58:{1,3,4,5}:{(42,1),(45,1),(71,1)}
        59:{1,3,4,7}:{(42,1),(43,1),(46,1),(72,1)}
        60:{1,3,6,7}:{(43,1),(44,1),(47,1)}
        61:{1,2,5,6,7}:{(44,1),(48,1),(76,1),(96,1)}
        62:{2,3,4,5,7}:{(45,1),(46,1),(51,1),(74,1),(77,1),(78,1)}
        63:{2,3,4,6,7}:{(46,1),(47,1),(52,1),(75,1),(77,1),(78,1),(79,1)}
        64:{2,3,5,6,7}:{(47,1),(48,1),(53,1),(76,1),(78,1),(79,1),(80,1)}
        65:{2,4,5,6,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,4,6}:{(51,1),(54,1),(77,1),(81,1)}
        67:{1,3,5,7}:{(52,1),(55,1),(78,1),(81,1),(82,1)}
        68:{1,4,6,7}:{(53,1),(79,1),(82,1)}
        69:{1,2,5,6}:{(54,1),(55,1),(81,1)}
        70:{1,2,3,4,6}:{(56,1),(83,1),(84,1),(101,1)}
        71:{1,2,4,5}:{(56,1),(58,1),(83,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(59,1)}
        73:{1,2,3,6,7}:{(57,1),(60,1),(86,1),(101,1)}
        74:{1,3,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(87,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(63,1),(86,1),(87,1),(88,1),(89,1)}
        76:{1,3,5,6,7}:{(60,1),(61,1),(64,1),(88,1),(89,1)}
        77:{2,3,4,6}:{(62,1),(66,1),(87,1),(90,1)}
        78:{2,3,5,7}:{(63,1),(67,1),(88,1),(90,1),(91,1)}
        79:{2,4,6,7}:{(64,1),(68,1),(89,1),(91,1),(92,1)}
        80:{3,5,6,7}:{(65,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(90,1),(93,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,2,3,5}:{(70,1),(71,1)}
        84:{1,2,3,4,7}:{(70,1),(72,1),(94,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(94,1),(95,1),(96,1)}
        86:{1,2,4,6,7}:{(72,1),(73,1),(75,1),(95,1),(96,1)}
        87:{1,3,4,6}:{(74,1),(77,1),(95,1),(97,1)}
        88:{1,3,5,7}:{(75,1),(78,1),(96,1),(97,1),(98,1)}
        89:{1,4,6,7}:{(76,1),(79,1),(98,1)}
        90:{2,3,5,6}:{(77,1),(78,1),(81,1),(97,1),(99,1)}
        91:{2,4,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(100,1)}
        92:{3,4,6,7}:{(79,1),(80,1),(100,1)}
        93:{1,4,5,6}:{(81,1),(82,1),(99,1)}
        94:{1,2,3,5,7}:{(83,1),(84,1),(85,1),(101,1)}
        95:{1,2,4,6}:{(85,1),(87,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(86,1),(88,1),(102,1)}
        97:{1,3,5,6}:{(87,1),(88,1),(90,1),(102,1),(103,1)}
        98:{1,4,5,7}:{(88,1),(89,1),(91,1),(103,1)}
        99:{2,4,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       100:{3,4,5,7}:{(91,1),(92,1),(104,1)}
       101:{1,2,3,6}:{(94,1),(95,1)}
       102:{1,2,5,6}:{(95,1),(96,1),(97,1)}
       103:{1,4,5,6}:{(97,1),(98,1),(99,1)}
       104:{3,4,5,6}:{(99,1),(100,1)}

2739 :   0:{1,2,3,5,7}:{(6,1),(7,1),(8,1),(35,1)}
         1:{1,2,4,5,7}:{(6,1),(8,1),(9,1),(10,1),(13,1),(35,1),(44,1),(67,1)}
         2:{1,3,4,5,7}:{(8,1),(10,1),(11,1),(15,1),(44,1),(67,1),(75,1),(93,1)}
         3:{1,2,4,6,7}:{(9,1),(12,1),(13,1),(14,1),(44,1)}
         4:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(15,1),(17,1),(44,1),(48,1),(75,1)}
         5:{1,3,5,6,7}:{(15,1),(16,1),(17,1),(48,1)}
         6:{1,2,4,7}:{(0,1),(18,1),(19,1),(118,1)}
         7:{1,2,3,6}:{(0,1),(19,1),(21,1),(125,1)}
         8:{1,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(51,1)}
         9:{1,2,4,6}:{(1,1),(21,1),(22,1),(24,1),(55,1)}
        10:{2,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(29,1),(60,1),(81,1)}
        11:{1,3,4,6}:{(2,1),(21,1),(24,1),(25,1),(55,1),(84,1)}
        12:{1,3,6,7}:{(3,1),(21,1),(26,1),(27,1),(89,1)}
        13:{1,2,5,7}:{(3,1),(22,1),(27,1),(29,1),(118,1)}
        14:{2,4,6,7}:{(4,1),(24,1),(26,1),(28,1),(29,1),(60,1)}
        15:{1,3,5,7}:{(4,1),(25,1),(29,1),(30,1),(62,1)}
        16:{2,5,6,7}:{(5,1),(29,1),(31,1),(32,1)}
        17:{1,4,6,7}:{(5,1),(30,1),(32,1),(89,1)}
        18:{1,3,4,7}:{(6,1),(8,1),(33,1),(34,1),(44,1),(113,1)}
        19:{1,2,4,6}:{(6,1),(7,1),(34,1),(35,1),(121,1),(124,1)}
        20:{2,3,5,7}:{(8,1),(10,1),(33,1),(36,1),(37,1),(66,1)}
        21:{1,3,6}:{(8,1),(9,1),(37,1)}
        22:{1,2,5,6}:{(9,1),(13,1),(35,1),(38,1),(40,1),(121,1)}
        23:{1,4,5,7}:{(10,1),(36,1),(39,1),(45,1),(74,1),(92,1)}
        24:{2,4,6}:{(10,1),(11,1),(37,1),(39,1),(40,1)}
        25:{1,3,5,6}:{(11,1),(15,1),(40,1),(41,1),(72,1)}
        26:{2,3,6,7}:{(12,1),(14,1),(37,1),(42,1),(43,1),(48,1),(77,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(38,1),(43,1),(44,1),(99,1),(113,1)}
        28:{1,4,6,7}:{(14,1),(39,1),(42,1),(45,1),(74,1)}
        29:{2,5,7}:{(14,1),(15,1),(40,1),(45,1)}
        30:{1,4,5,7}:{(15,1),(17,1),(41,1),(44,1),(46,1),(99,1)}
        31:{1,5,6,7}:{(16,1),(45,1),(47,1)}
        32:{2,4,6,7}:{(16,1),(17,1),(46,1),(47,1),(48,1),(77,1)}
        33:{2,3,4,7}:{(18,1),(20,1),(49,1),(50,1),(60,1),(106,1)}
        34:{1,3,4,6}:{(18,1),(19,1),(21,1),(50,1),(51,1),(55,1),(117,1),(122,1)}
        35:{1,2,5}:{(19,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(23,1),(49,1),(52,1),(53,1),(80,1)}
        37:{2,3,6}:{(20,1),(21,1),(24,1),(53,1)}
        38:{1,3,5,6}:{(21,1),(22,1),(27,1),(51,1),(54,1),(55,1),(105,1),(117,1)}
        39:{1,4,6}:{(23,1),(24,1),(53,1),(56,1)}
        40:{2,5,6}:{(24,1),(25,1),(29,1),(56,1)}
        41:{1,4,5,6}:{(25,1),(30,1),(55,1),(57,1),(105,1)}
        42:{1,3,6,7}:{(26,1),(28,1),(53,1),(58,1),(59,1)}
        43:{2,3,5,7}:{(26,1),(27,1),(29,1),(54,1),(59,1),(60,1),(62,1),(88,1),(106,1)}
        44:{1,4,7}:{(27,1),(55,1),(60,1)}
        45:{1,5,7}:{(28,1),(29,1),(56,1)}
        46:{2,4,5,7}:{(29,1),(30,1),(32,1),(57,1),(60,1),(61,1),(62,1),(88,1)}
        47:{1,4,6,7}:{(31,1),(32,1),(61,1),(63,1)}
        48:{3,6,7}:{(32,1),(62,1)}
        49:{1,3,4,7}:{(33,1),(36,1),(64,1),(65,1),(74,1),(97,1)}
        50:{2,3,4,6}:{(33,1),(34,1),(37,1),(65,1),(66,1),(70,1),(111,1),(119,1)}
        51:{1,3,5}:{(34,1),(35,1),(66,1),(67,1)}
        52:{1,2,5,7}:{(36,1),(64,1),(68,1),(91,1)}
        53:{1,3,6}:{(36,1),(37,1),(39,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(40,1),(43,1),(66,1),(69,1),(70,1),(72,1),(96,1),(111,1)}
        55:{1,4,6}:{(38,1),(44,1),(67,1),(70,1)}
        56:{1,5,6}:{(39,1),(40,1),(45,1)}
        57:{2,4,5,6}:{(40,1),(41,1),(46,1),(70,1),(71,1),(72,1),(96,1)}
        58:{1,2,6,7}:{(42,1),(68,1),(73,1),(77,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(69,1),(73,1),(74,1),(97,1)}
        60:{2,4,7}:{(43,1),(44,1),(70,1),(74,1),(75,1)}
        61:{1,4,5,7}:{(45,1),(46,1),(47,1),(71,1),(74,1),(76,1)}
        62:{3,5,7}:{(46,1),(48,1),(72,1),(75,1)}
        63:{1,3,6,7}:{(47,1),(48,1),(76,1),(77,1)}
        64:{1,2,4,7}:{(49,1),(52,1),(78,1),(79,1)}
        65:{1,3,4,6}:{(49,1),(50,1),(53,1),(79,1),(80,1),(83,1),(103,1),(114,1)}
        66:{2,3,5}:{(50,1),(51,1),(80,1),(81,1)}
        67:{1,4,5}:{(51,1),(55,1),(81,1)}
        68:{1,2,6}:{(52,1),(53,1)}
        69:{1,3,5,6}:{(53,1),(54,1),(56,1),(59,1),(80,1),(82,1),(83,1),(103,1)}
        70:{2,4,6}:{(54,1),(55,1),(60,1),(81,1),(83,1),(84,1)}
        71:{1,4,5,6}:{(56,1),(57,1),(61,1),(83,1),(85,1)}
        72:{3,5,6}:{(57,1),(62,1),(84,1)}
        73:{1,2,5,7}:{(58,1),(59,1),(82,1),(86,1),(88,1)}
        74:{1,4,7}:{(59,1),(60,1),(83,1)}
        75:{3,4,7}:{(60,1),(62,1),(84,1)}
        76:{1,3,5,7}:{(61,1),(62,1),(63,1),(85,1),(87,1),(88,1)}
        77:{2,6,7}:{(63,1),(88,1),(89,1)}
        78:{1,2,3,7}:{(64,1),(90,1),(97,1)}
        79:{1,2,4,6}:{(64,1),(65,1),(68,1),(90,1),(91,1),(108,1)}
        80:{1,3,5}:{(65,1),(66,1),(91,1),(92,1)}
        81:{2,4,5}:{(66,1),(67,1),(70,1),(92,1),(93,1)}
        82:{1,2,5,6}:{(68,1),(69,1),(73,1),(91,1),(94,1),(96,1)}
        83:{1,4,6}:{(69,1),(70,1),(74,1),(92,1)}
        84:{3,4,6}:{(70,1),(72,1),(75,1),(93,1)}
        85:{1,3,5,6}:{(71,1),(72,1),(76,1),(95,1),(96,1)}
        86:{1,2,4,7}:{(73,1),(74,1),(94,1),(97,1),(98,1)}
        87:{1,3,4,7}:{(74,1),(75,1),(76,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(76,1),(77,1),(96,1),(98,1),(99,1)}
        89:{1,6,7}:{(77,1),(99,1)}
        90:{1,2,3,6}:{(78,1),(79,1),(100,1),(103,1)}
        91:{1,2,5}:{(79,1),(80,1)}
        92:{1,4,5}:{(80,1),(81,1),(83,1)}
        93:{3,4,5}:{(81,1),(84,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(86,1),(101,1),(103,1),(104,1)}
        95:{1,3,4,6}:{(83,1),(84,1),(85,1),(87,1),(102,1),(103,1),(104,1)}
        96:{2,5,6}:{(85,1),(88,1),(104,1),(105,1)}
        97:{1,3,7}:{(86,1),(103,1),(106,1)}
        98:{2,4,7}:{(87,1),(88,1),(104,1),(106,1),(107,1)}
        99:{1,5,7}:{(88,1),(89,1),(105,1),(107,1)}
       100:{1,2,3,5}:{(90,1),(91,1),(108,1),(109,1)}
       101:{1,2,4,5}:{(91,1),(92,1),(94,1),(108,1),(109,1),(110,1)}
       102:{1,3,4,5}:{(92,1),(93,1),(95,1),(109,1),(110,1)}
       103:{1,3,6}:{(94,1),(97,1),(109,1),(111,1)}
       104:{2,4,6}:{(95,1),(96,1),(98,1),(110,1),(111,1),(112,1)}
       105:{1,5,6}:{(96,1),(99,1),(112,1)}
       106:{2,3,7}:{(97,1),(98,1),(111,1),(113,1)}
       107:{1,4,7}:{(98,1),(99,1),(112,1),(113,1)}
       108:{1,2,4}:{(100,1),(114,1)}
       109:{1,3,5}:{(101,1),(103,1),(114,1),(115,1)}
       110:{2,4,5}:{(102,1),(104,1),(115,1),(116,1)}
       111:{2,3,6}:{(103,1),(104,1),(106,1),(115,1),(117,1)}
       112:{1,4,6}:{(104,1),(105,1),(107,1),(116,1),(117,1)}
       113:{1,3,7}:{(106,1),(107,1),(117,1),(118,1)}
       114:{1,3,4}:{(108,1),(109,1),(119,1)}
       115:{2,3,5}:{(109,1),(110,1),(111,1),(119,1),(120,1)}
       116:{1,4,5}:{(110,1),(112,1),(120,1)}
       117:{1,3,6}:{(111,1),(112,1),(113,1),(120,1),(121,1)}
       118:{1,2,7}:{(113,1),(121,1)}
       119:{2,3,4}:{(114,1),(115,1),(122,1)}
       120:{1,3,5}:{(115,1),(116,1),(117,1),(122,1),(123,1)}
       121:{1,2,6}:{(117,1),(118,1),(123,1)}
       122:{1,3,4}:{(119,1),(120,1),(124,1)}
       123:{1,2,5}:{(120,1),(121,1),(124,1)}
       124:{1,2,4}:{(122,1),(123,1),(125,1)}
       125:{1,2,3}:{(124,1)}

2740 :   0:{1,2,3,4,6}:{(1,1),(2,1),(9,1),(12,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(20,1),(152,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(9,1)}
         4:{1,2,3,5,6}:{(1,1),(9,1),(11,1),(12,1),(13,1),(35,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(12,1),(148,1),(153,1)}
         6:{1,2,4,5,6}:{(9,1),(13,1),(14,1),(15,1),(35,1),(68,1)}
         7:{1,3,4,5,6}:{(13,1),(15,1),(16,1),(68,1),(98,1)}
         8:{1,3,4,5}:{(3,1),(17,1),(18,1)}
         9:{1,2,4,6}:{(3,1),(4,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(21,1),(51,1),(142,1),(150,1)}
        11:{1,2,3,5,7}:{(4,1),(20,1),(22,1),(24,1),(51,1)}
        12:{1,2,3,6}:{(5,1),(21,1)}
        13:{1,3,5,6}:{(6,1),(18,1),(23,1),(24,1)}
        14:{1,2,4,5,7}:{(6,1),(20,1),(24,1),(25,1),(27,1),(51,1),(84,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1)}
        16:{1,3,4,5,7}:{(7,1),(24,1),(27,1),(28,1),(84,1),(110,1)}
        17:{2,3,4,5}:{(8,1),(29,1),(30,1)}
        18:{1,3,4,6}:{(8,1),(9,1),(13,1),(30,1),(32,1)}
        19:{1,3,4,5,7}:{(8,1),(10,1),(31,1),(32,1),(33,1),(67,1),(135,1),(146,1)}
        20:{1,2,4,7}:{(9,1),(11,1),(32,1)}
        21:{1,2,4,6}:{(10,1),(12,1),(33,1),(35,1)}
        22:{1,2,3,6,7}:{(11,1),(12,1),(34,1),(38,1),(153,1)}
        23:{2,3,5,6}:{(13,1),(15,1),(30,1),(36,1),(37,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(32,1),(37,1),(38,1)}
        25:{1,2,4,6,7}:{(14,1),(38,1),(39,1),(41,1),(72,1)}
        26:{1,4,5,6}:{(15,1),(36,1),(40,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(37,1),(40,1),(41,1)}
        28:{1,3,4,6,7}:{(16,1),(38,1),(41,1),(42,1),(72,1),(101,1)}
        29:{1,3,4,5}:{(17,1),(44,1),(45,1)}
        30:{2,3,4,6}:{(17,1),(18,1),(23,1),(45,1),(47,1)}
        31:{2,3,4,5,7}:{(17,1),(19,1),(46,1),(47,1),(48,1),(82,1),(126,1),(140,1)}
        32:{1,3,4,7}:{(18,1),(20,1),(24,1),(47,1)}
        33:{1,3,4,6}:{(19,1),(21,1),(48,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(49,1),(51,1),(145,1),(150,1)}
        35:{1,2,5,6}:{(21,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(23,1),(26,1),(45,1),(52,1),(53,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(27,1),(47,1),(53,1),(54,1)}
        38:{1,3,6,7}:{(24,1),(25,1),(54,1)}
        39:{1,2,5,6,7}:{(25,1),(51,1),(55,1),(57,1),(145,1)}
        40:{1,4,5,7}:{(26,1),(27,1),(53,1),(56,1)}
        41:{2,4,6,7}:{(27,1),(28,1),(54,1),(56,1),(57,1)}
        42:{1,3,5,6,7}:{(28,1),(57,1),(58,1),(89,1)}
        43:{1,2,3,4}:{(59,1)}
        44:{1,2,4,5}:{(29,1),(59,1),(61,1)}
        45:{1,3,4,6}:{(29,1),(30,1),(36,1),(61,1),(63,1)}
        46:{1,3,4,5,7}:{(29,1),(31,1),(62,1),(63,1),(64,1),(95,1),(116,1),(133,1)}
        47:{2,3,4,7}:{(30,1),(32,1),(37,1),(63,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(64,1),(66,1)}
        49:{1,3,4,6,7}:{(32,1),(33,1),(34,1),(38,1),(65,1),(67,1),(72,1),(139,1),(146,1)}
        50:{1,3,5,6}:{(33,1),(35,1),(66,1),(67,1),(68,1)}
        51:{1,2,5,7}:{(34,1),(35,1),(67,1)}
        52:{1,2,5,6}:{(36,1),(61,1),(69,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(40,1),(63,1),(69,1),(70,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(41,1),(70,1)}
        55:{1,3,5,6,7}:{(38,1),(39,1),(67,1),(71,1),(72,1),(123,1),(139,1)}
        56:{1,4,6,7}:{(40,1),(41,1),(70,1),(73,1)}
        57:{2,5,6,7}:{(41,1),(42,1),(73,1)}
        58:{1,4,5,6,7}:{(42,1),(72,1),(74,1),(123,1)}
        59:{1,2,3,5}:{(43,1),(44,1),(75,1)}
        60:{1,2,3,4,7}:{(43,1),(76,1),(77,1),(124,1)}
        61:{1,2,4,6}:{(44,1),(45,1),(52,1),(75,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(46,1),(76,1),(78,1),(79,1),(105,1),(106,1),(124,1)}
        63:{1,3,4,7}:{(45,1),(47,1),(53,1),(78,1)}
        64:{1,3,4,6}:{(46,1),(48,1),(79,1),(81,1)}
        65:{2,3,4,6,7}:{(47,1),(48,1),(49,1),(54,1),(80,1),(82,1),(87,1),(131,1),(140,1)}
        66:{2,3,5,6}:{(48,1),(50,1),(81,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(51,1),(82,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(83,1),(84,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(78,1),(85,1)}
        70:{1,3,6,7}:{(53,1),(54,1),(56,1),(85,1)}
        71:{2,3,5,6,7}:{(54,1),(55,1),(57,1),(82,1),(86,1),(87,1),(89,1),(113,1),(131,1)}
        72:{1,4,6,7}:{(55,1),(84,1),(87,1)}
        73:{1,5,6,7}:{(56,1),(57,1)}
        74:{2,4,5,6,7}:{(57,1),(58,1),(87,1),(88,1),(89,1),(113,1)}
        75:{1,2,3,6}:{(59,1),(61,1),(90,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(90,1),(91,1),(92,1)}
        77:{1,2,3,4,6}:{(60,1),(91,1),(92,1),(115,1)}
        78:{1,2,4,7}:{(61,1),(63,1),(69,1),(90,1)}
        79:{1,2,4,6}:{(62,1),(64,1),(91,1),(94,1)}
        80:{1,3,4,6,7}:{(63,1),(64,1),(65,1),(70,1),(93,1),(95,1),(100,1),(121,1),(133,1)}
        81:{1,3,5,6}:{(64,1),(66,1),(94,1),(95,1),(96,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(67,1),(95,1),(97,1)}
        83:{2,4,5,6}:{(66,1),(68,1),(96,1),(97,1),(98,1)}
        84:{1,4,5,7}:{(67,1),(68,1),(72,1),(97,1)}
        85:{1,2,6,7}:{(69,1),(70,1)}
        86:{1,3,5,6,7}:{(70,1),(71,1),(73,1),(95,1),(99,1),(100,1),(121,1)}
        87:{2,4,6,7}:{(71,1),(72,1),(97,1),(100,1),(101,1)}
        88:{1,4,5,6,7}:{(73,1),(74,1),(100,1),(102,1)}
        89:{3,5,6,7}:{(74,1),(101,1)}
        90:{1,2,3,7}:{(75,1),(78,1)}
        91:{1,2,3,6}:{(76,1),(79,1)}
        92:{1,2,3,5}:{(77,1),(105,1)}
        93:{1,2,4,6,7}:{(78,1),(79,1),(80,1),(85,1),(103,1),(106,1),(124,1)}
        94:{1,2,5,6}:{(79,1),(81,1),(106,1)}
        95:{1,3,5,7}:{(80,1),(81,1),(82,1),(106,1),(108,1)}
        96:{1,4,5,6}:{(81,1),(83,1),(108,1)}
        97:{2,4,5,7}:{(82,1),(83,1),(84,1),(87,1),(108,1),(110,1)}
        98:{3,4,5,6}:{(83,1),(110,1)}
        99:{1,2,5,6,7}:{(85,1),(86,1),(106,1),(111,1),(113,1)}
       100:{1,4,6,7}:{(86,1),(87,1),(108,1)}
       101:{3,4,6,7}:{(87,1),(89,1),(110,1)}
       102:{1,3,5,6,7}:{(88,1),(89,1),(112,1),(113,1)}
       103:{1,2,3,6,7}:{(90,1),(91,1),(93,1),(114,1),(121,1)}
       104:{1,2,3,5,6}:{(91,1),(92,1),(94,1),(114,1),(115,1),(118,1)}
       105:{1,2,4,5}:{(92,1),(115,1),(116,1)}
       106:{1,2,5,7}:{(93,1),(94,1),(95,1)}
       107:{1,2,4,5,6}:{(94,1),(96,1),(115,1),(117,1),(118,1),(120,1)}
       108:{1,4,5,7}:{(95,1),(96,1),(97,1),(100,1)}
       109:{1,3,4,5,6}:{(96,1),(98,1),(118,1),(119,1),(120,1)}
       110:{3,4,5,7}:{(97,1),(98,1),(101,1)}
       111:{1,2,4,6,7}:{(99,1),(100,1),(117,1),(121,1),(122,1)}
       112:{1,3,4,6,7}:{(100,1),(101,1),(102,1),(119,1),(121,1),(122,1)}
       113:{2,5,6,7}:{(102,1),(122,1),(123,1)}
       114:{1,2,3,5,7}:{(103,1),(104,1),(106,1),(124,1),(127,1)}
       115:{1,2,4,6}:{(104,1),(105,1),(124,1),(125,1)}
       116:{1,3,4,5}:{(105,1),(125,1),(126,1)}
       117:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(124,1),(127,1),(129,1)}
       118:{1,3,5,6}:{(107,1),(125,1),(127,1),(128,1)}
       119:{1,3,4,5,7}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1)}
       120:{2,4,5,6}:{(109,1),(128,1),(129,1),(130,1)}
       121:{1,3,6,7}:{(111,1),(127,1),(131,1)}
       122:{2,4,6,7}:{(112,1),(113,1),(129,1),(131,1),(132,1)}
       123:{1,5,6,7}:{(113,1),(132,1)}
       124:{1,2,4,7}:{(114,1),(115,1),(133,1)}
       125:{1,3,4,6}:{(115,1),(116,1),(118,1),(133,1),(134,1)}
       126:{2,3,4,5}:{(116,1),(134,1),(135,1)}
       127:{1,3,5,7}:{(117,1),(118,1),(121,1),(133,1),(136,1)}
       128:{2,3,5,6}:{(118,1),(120,1),(134,1),(136,1),(137,1)}
       129:{2,4,5,7}:{(119,1),(120,1),(122,1),(136,1),(138,1)}
       130:{1,4,5,6}:{(120,1),(137,1),(138,1)}
       131:{2,3,6,7}:{(121,1),(122,1),(136,1),(139,1)}
       132:{1,4,6,7}:{(122,1),(123,1),(138,1),(139,1)}
       133:{1,3,4,7}:{(124,1),(125,1),(127,1),(140,1)}
       134:{2,3,4,6}:{(125,1),(126,1),(128,1),(140,1),(141,1)}
       135:{1,3,4,5}:{(126,1),(141,1),(142,1)}
       136:{2,3,5,7}:{(127,1),(128,1),(129,1),(131,1),(140,1),(143,1)}
       137:{1,3,5,6}:{(128,1),(130,1),(141,1),(143,1),(144,1)}
       138:{1,4,5,7}:{(129,1),(130,1),(132,1),(143,1)}
       139:{1,3,6,7}:{(131,1),(132,1),(143,1),(145,1)}
       140:{2,3,4,7}:{(133,1),(134,1),(136,1),(146,1)}
       141:{1,3,4,6}:{(134,1),(135,1),(137,1),(146,1),(147,1)}
       142:{1,2,4,5}:{(135,1),(147,1),(148,1)}
       143:{1,3,5,7}:{(136,1),(137,1),(138,1),(139,1),(146,1),(149,1)}
       144:{1,2,5,6}:{(137,1),(147,1),(149,1)}
       145:{1,2,6,7}:{(139,1),(149,1)}
       146:{1,3,4,7}:{(140,1),(141,1),(143,1),(150,1)}
       147:{1,2,4,6}:{(141,1),(142,1),(144,1),(150,1),(151,1)}
       148:{1,2,3,5}:{(142,1),(151,1),(152,1)}
       149:{1,2,5,7}:{(143,1),(144,1),(145,1),(150,1)}
       150:{1,2,4,7}:{(146,1),(147,1),(149,1),(153,1)}
       151:{1,2,3,6}:{(147,1),(148,1),(153,1)}
       152:{1,2,3,4}:{(148,1)}
       153:{1,2,3,7}:{(150,1),(151,1)}

2741 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(20,1),(44,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(29,1),(60,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(75,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(42,1),(78,1)}
         4:{1,2,3,5,6,7}:{(9,1),(24,1),(28,1),(54,1),(55,1),(83,1),(93,1),(124,1),(138,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(29,1),(55,1),(86,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(94,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(25,1),(26,1),(29,1),(59,1),(93,1),(96,1)}
         8:{2,3,4,5,7}:{(5,1),(13,1),(14,1),(43,1),(64,1)}
         9:{1,2,4,6,7}:{(4,1),(15,1),(16,1),(42,1),(69,1),(73,1),(102,1),(132,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(17,1),(39,1),(42,1),(105,1)}
        11:{2,5,6,7}:{(6,1),(17,1),(111,1)}
        12:{1,3,5,6,7}:{(7,1),(19,1),(20,1),(38,1),(39,1),(74,1),(113,1)}
        13:{2,3,4,5,6}:{(8,1),(21,1),(60,1),(79,1),(81,1),(86,1)}
        14:{1,3,4,5,7}:{(8,1),(10,1),(21,1),(22,1),(47,1),(59,1)}
        15:{1,3,4,6,7}:{(9,1),(23,1),(24,1),(51,1),(118,1),(138,1)}
        16:{1,2,4,5,7}:{(9,1),(24,1),(25,1),(50,1),(59,1),(93,1)}
        17:{2,4,6,7}:{(10,1),(11,1),(22,1),(27,1),(121,1)}
        18:{1,2,5,6,7}:{(11,1),(26,1),(28,1),(90,1),(93,1),(124,1)}
        19:{2,3,5,6,7}:{(11,1),(12,1),(27,1),(28,1),(29,1),(54,1),(55,1),(57,1),(93,1),(126,1)}
        20:{1,3,4,6,7}:{(12,1),(29,1),(30,1),(51,1),(127,1)}
        21:{1,3,4,5,6}:{(13,1),(14,1),(31,1),(61,1),(78,1),(99,1),(105,1)}
        22:{2,4,5,7}:{(14,1),(17,1),(31,1),(33,1)}
        23:{2,3,4,6,7}:{(15,1),(36,1),(37,1),(69,1),(73,1),(103,1),(133,1)}
        24:{1,3,5,7}:{(15,1),(16,1),(37,1),(38,1)}
        25:{1,2,4,5,6}:{(16,1),(38,1),(69,1),(78,1),(111,1),(132,1)}
        26:{1,2,4,6,7}:{(17,1),(18,1),(32,1),(39,1),(42,1),(73,1),(107,1),(132,1)}
        27:{2,3,6,7}:{(17,1),(33,1),(39,1),(133,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(39,1),(42,1),(71,1),(74,1),(135,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(42,1),(43,1),(69,1),(136,1)}
        30:{1,3,4,5,7}:{(20,1),(43,1),(44,1),(74,1)}
        31:{2,4,5,6}:{(21,1),(22,1),(46,1),(116,1),(121,1)}
        32:{1,2,4,5,7}:{(22,1),(26,1),(45,1),(47,1),(59,1),(84,1),(93,1)}
        33:{2,3,5,7}:{(22,1),(27,1),(46,1),(47,1),(48,1)}
        34:{1,3,4,5,7}:{(24,1),(50,1),(51,1)}
        35:{1,2,3,6,7}:{(49,1),(52,1),(55,1),(122,1)}
        36:{1,3,4,6,7}:{(23,1),(52,1),(53,1),(87,1),(89,1),(122,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(50,1),(53,1),(54,1),(93,1)}
        38:{1,3,5,6}:{(24,1),(25,1),(51,1),(54,1),(138,1)}
        39:{1,3,6,7}:{(26,1),(27,1),(47,1),(55,1),(122,1),(138,1)}
        40:{2,3,4,6,7}:{(27,1),(29,1),(48,1),(56,1),(57,1),(86,1)}
        41:{1,2,3,5,6,7}:{(28,1),(49,1),(55,1),(58,1),(90,1),(93,1),(95,1),(122,1),(126,1)}
        42:{1,4,6,7}:{(28,1),(29,1),(59,1),(89,1),(139,1)}
        43:{2,4,5,7}:{(29,1),(30,1),(57,1),(59,1),(60,1),(93,1)}
        44:{1,3,4,5,6}:{(30,1),(51,1),(60,1),(94,1),(127,1)}
        45:{1,2,4,5,6}:{(31,1),(32,1),(61,1),(78,1),(98,1),(101,1),(107,1),(111,1),(129,1),(132,1)}
        46:{2,3,5,6}:{(31,1),(33,1),(61,1),(62,1),(130,1),(133,1)}
        47:{1,3,5,7}:{(32,1),(33,1),(39,1),(61,1),(64,1),(65,1)}
        48:{2,3,4,7}:{(33,1),(62,1),(65,1)}
        49:{1,2,3,5,7}:{(35,1),(63,1),(64,1),(67,1),(70,1),(106,1)}
        50:{2,4,5,7}:{(34,1),(37,1),(68,1),(69,1)}
        51:{1,3,4,6}:{(34,1),(38,1),(69,1)}
        52:{1,2,4,6,7}:{(35,1),(36,1),(67,1),(70,1),(73,1),(107,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(68,1),(70,1),(71,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(69,1),(71,1),(111,1),(133,1)}
        55:{2,3,6,7}:{(39,1),(64,1),(73,1),(133,1)}
        56:{1,3,4,6,7}:{(39,1),(40,1),(42,1),(65,1),(73,1),(74,1),(105,1)}
        57:{2,3,5,7}:{(40,1),(43,1),(74,1),(75,1)}
        58:{1,2,4,6,7}:{(41,1),(42,1),(67,1),(73,1),(76,1),(77,1),(107,1),(136,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(74,1),(78,1)}
        60:{2,4,5,6}:{(43,1),(44,1),(69,1),(75,1),(78,1),(111,1),(136,1)}
        61:{1,3,5,6}:{(45,1),(46,1),(47,1),(79,1),(80,1),(117,1),(122,1),(137,1),(138,1)}
        62:{2,3,4,6}:{(46,1),(48,1),(80,1),(81,1)}
        63:{1,2,3,5,6}:{(49,1),(79,1),(82,1),(90,1),(117,1),(122,1)}
        64:{2,3,5,7}:{(47,1),(55,1),(79,1),(84,1),(93,1)}
        65:{1,3,4,7}:{(47,1),(48,1),(80,1),(84,1)}
        66:{2,3,4,5,7}:{(48,1),(50,1),(57,1),(81,1),(85,1),(86,1),(120,1),(125,1)}
        67:{1,2,4,7}:{(49,1),(82,1),(84,1),(87,1)}
        68:{1,4,5,7}:{(50,1),(53,1),(89,1)}
        69:{2,4,6}:{(50,1),(51,1),(54,1),(89,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(90,1),(93,1)}
        71:{1,3,5,6}:{(53,1),(54,1),(89,1),(90,1),(122,1)}
        72:{1,2,3,6,7}:{(55,1),(83,1),(91,1),(138,1)}
        73:{2,4,6,7}:{(55,1),(56,1),(84,1),(93,1),(121,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(59,1),(93,1),(94,1)}
        75:{2,3,5,6}:{(57,1),(60,1),(86,1),(94,1)}
        76:{1,3,4,6,7}:{(58,1),(87,1),(92,1),(95,1),(122,1),(127,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(93,1),(95,1),(96,1),(125,1)}
        78:{1,4,5,6}:{(59,1),(60,1),(89,1),(94,1),(139,1)}
        79:{2,3,5,6}:{(61,1),(64,1),(98,1),(111,1),(130,1),(133,1)}
        80:{1,3,4,6}:{(61,1),(62,1),(65,1),(98,1),(99,1)}
        81:{2,3,4,5}:{(62,1),(99,1),(130,1)}
        82:{1,2,4,6}:{(63,1),(67,1),(98,1),(100,1),(101,1)}
        83:{1,2,3,5,7}:{(64,1),(72,1),(97,1),(102,1),(109,1),(131,1)}
        84:{2,4,7}:{(64,1),(65,1),(98,1)}
        85:{1,3,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(99,1),(104,1),(105,1),(106,1),(131,1),(134,1)}
        86:{2,3,4,6}:{(66,1),(69,1),(75,1),(105,1),(133,1),(136,1)}
        87:{1,3,4,7}:{(67,1),(100,1),(103,1),(106,1)}
        88:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(101,1),(104,1),(106,1),(107,1)}
        89:{1,4,6}:{(68,1),(69,1),(71,1)}
        90:{1,2,5,6}:{(70,1),(71,1),(107,1),(111,1)}
        91:{1,2,4,6,7}:{(72,1),(73,1),(102,1),(108,1),(109,1),(132,1)}
        92:{2,3,4,6,7}:{(73,1),(76,1),(103,1),(108,1),(110,1),(133,1),(136,1)}
        93:{2,5,7}:{(73,1),(74,1),(111,1)}
        94:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(111,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(110,1),(113,1)}
        96:{1,2,4,5,6}:{(77,1),(78,1),(107,1),(111,1),(113,1),(136,1)}
        97:{1,2,3,5,6}:{(79,1),(83,1),(114,1),(124,1),(137,1),(138,1)}
        98:{2,4,6}:{(79,1),(80,1),(84,1),(116,1)}
        99:{1,3,4,5}:{(80,1),(81,1),(116,1),(117,1),(137,1)}
       100:{1,3,4,6}:{(82,1),(87,1),(115,1),(117,1),(122,1)}
       101:{1,2,4,5}:{(82,1),(116,1),(117,1)}
       102:{1,2,4,7}:{(83,1),(84,1),(114,1),(118,1)}
       103:{2,3,4,7}:{(84,1),(87,1),(115,1),(118,1),(120,1)}
       104:{2,4,5,7}:{(84,1),(85,1),(93,1),(116,1),(120,1),(121,1)}
       105:{1,3,4,6}:{(85,1),(86,1),(89,1),(94,1),(121,1),(122,1),(138,1),(139,1)}
       106:{1,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(122,1)}
       107:{1,2,4,6}:{(88,1),(89,1),(90,1),(121,1),(122,1)}
       108:{1,3,4,6,7}:{(91,1),(92,1),(118,1),(123,1),(138,1),(139,1)}
       109:{1,2,5,7}:{(91,1),(93,1),(123,1),(124,1)}
       110:{2,3,5,7}:{(92,1),(93,1),(95,1),(123,1),(125,1),(126,1)}
       111:{2,5,6}:{(93,1),(94,1),(121,1)}
       112:{1,3,4,5,7}:{(95,1),(125,1),(127,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(122,1),(126,1),(127,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(102,1),(128,1),(129,1)}
       115:{2,3,4,6}:{(98,1),(100,1),(103,1),(128,1),(130,1),(133,1)}
       116:{2,4,5}:{(98,1),(99,1),(130,1)}
       117:{1,3,5}:{(100,1),(101,1),(130,1)}
       118:{1,3,4,7}:{(102,1),(103,1),(128,1),(131,1)}
       119:{1,2,4,5,7}:{(102,1),(104,1),(109,1),(129,1),(131,1),(132,1),(134,1)}
       120:{2,3,5,7}:{(103,1),(104,1),(106,1),(130,1),(131,1),(133,1)}
       121:{2,4,6}:{(104,1),(105,1),(111,1),(133,1)}
       122:{1,3,6}:{(106,1),(107,1),(133,1)}
       123:{1,3,5,7}:{(108,1),(109,1),(110,1),(134,1),(135,1)}
       124:{1,2,5,6}:{(109,1),(111,1),(132,1),(135,1)}
       125:{2,4,5,7}:{(110,1),(112,1),(134,1),(136,1)}
       126:{2,3,5,6}:{(110,1),(111,1),(113,1),(133,1),(135,1),(136,1)}
       127:{1,3,4,6}:{(112,1),(113,1),(136,1)}
       128:{1,3,4,6}:{(114,1),(115,1),(118,1),(137,1),(138,1)}
       129:{1,2,4,5}:{(114,1),(116,1),(137,1)}
       130:{2,3,5}:{(115,1),(116,1),(117,1),(137,1)}
       131:{1,3,5,7}:{(118,1),(119,1),(120,1),(137,1),(138,1)}
       132:{1,2,4,6}:{(119,1),(121,1),(124,1),(138,1),(139,1)}
       133:{2,3,6}:{(120,1),(121,1),(122,1),(138,1)}
       134:{1,4,5,7}:{(123,1),(125,1),(139,1)}
       135:{1,3,5,6}:{(123,1),(124,1),(126,1),(138,1),(139,1)}
       136:{2,4,6}:{(125,1),(126,1),(127,1),(139,1)}
       137:{1,3,5}:{(128,1),(129,1),(130,1)}
       138:{1,3,6}:{(131,1),(132,1),(133,1)}
       139:{1,4,6}:{(134,1),(135,1),(136,1)}

2742 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(122,1),(126,1),(129,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(17,1),(139,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(126,1),(130,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(17,1),(33,1),(92,1),(109,1),(113,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(17,1),(114,1),(118,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(12,1),(43,1),(126,1)}
         8:{1,2,4,5,6}:{(5,1),(11,1),(13,1),(27,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(25,1),(100,1),(105,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(34,1)}
        12:{1,3,4,6,7}:{(7,1),(9,1),(17,1),(18,1),(109,1),(114,1)}
        13:{1,3,5,6}:{(8,1),(9,1),(17,1),(20,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(35,1),(86,1),(91,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(43,1),(54,1),(79,1),(95,1)}
        17:{1,3,5,7}:{(11,1),(12,1),(13,1),(25,1)}
        18:{2,3,4,6,7}:{(12,1),(14,1),(25,1),(26,1),(43,1),(96,1),(100,1)}
        19:{1,3,4,5,6}:{(13,1),(24,1),(27,1)}
        20:{2,3,5,6}:{(13,1),(14,1),(25,1),(27,1),(28,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(28,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(47,1),(73,1),(78,1)}
        23:{1,3,5,6,7}:{(16,1),(17,1),(32,1),(33,1),(109,1)}
        24:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(34,1)}
        25:{2,3,5,7}:{(17,1),(18,1),(20,1),(34,1),(35,1)}
        26:{1,3,4,6,7}:{(18,1),(21,1),(35,1),(36,1),(56,1),(82,1),(86,1)}
        27:{2,4,5,6}:{(19,1),(20,1),(34,1),(38,1)}
        28:{1,3,5,6}:{(20,1),(21,1),(35,1),(38,1),(39,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(39,1),(40,1)}
        30:{1,2,3,5,7}:{(22,1),(40,1),(41,1),(65,1)}
        31:{1,3,4,5,6,7}:{(32,1),(42,1),(66,1),(94,1)}
        32:{1,3,4,6,7}:{(23,1),(24,1),(43,1)}
        33:{2,3,5,6,7}:{(23,1),(25,1),(43,1),(44,1),(79,1),(96,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(27,1),(43,1),(46,1)}
        35:{1,3,5,7}:{(25,1),(26,1),(28,1),(46,1),(47,1)}
        36:{1,2,4,6,7}:{(26,1),(29,1),(47,1),(48,1),(73,1)}
        37:{2,3,4,5,6}:{(27,1),(45,1),(49,1),(76,1),(132,1)}
        38:{1,4,5,6}:{(27,1),(28,1),(46,1)}
        39:{1,2,5,6}:{(28,1),(29,1),(47,1)}
        40:{1,2,3,6}:{(29,1),(30,1)}
        41:{1,2,3,4,7}:{(30,1),(52,1),(73,1)}
        42:{2,4,5,6,7}:{(31,1),(43,1),(53,1),(54,1),(79,1),(107,1)}
        43:{2,4,6,7}:{(32,1),(33,1),(34,1),(56,1)}
        44:{1,3,5,6,7}:{(33,1),(35,1),(56,1),(57,1),(82,1)}
        45:{2,3,4,5,7}:{(34,1),(37,1),(55,1),(58,1),(85,1),(120,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(38,1),(56,1)}
        47:{1,2,5,7}:{(35,1),(36,1),(39,1)}
        48:{1,2,3,6,7}:{(36,1),(40,1),(60,1),(82,1)}
        49:{1,3,4,5,6}:{(37,1),(38,1),(58,1),(62,1),(63,1),(89,1),(140,1)}
        50:{1,2,4,5,6}:{(38,1),(39,1),(59,1),(62,1),(63,1),(64,1)}
        51:{1,2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(64,1),(65,1)}
        52:{1,2,3,4,6}:{(40,1),(41,1),(64,1),(65,1)}
        53:{2,3,5,6,7}:{(42,1),(55,1),(66,1)}
        54:{1,4,5,6,7}:{(42,1),(56,1),(66,1),(119,1)}
        55:{2,3,4,6,7}:{(43,1),(45,1),(53,1),(68,1),(96,1),(107,1)}
        56:{1,4,6,7}:{(43,1),(44,1),(46,1)}
        57:{1,2,5,6,7}:{(44,1),(47,1),(69,1),(79,1)}
        58:{1,3,4,5,7}:{(45,1),(46,1),(49,1),(68,1),(71,1),(72,1),(99,1),(131,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(50,1),(69,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(47,1),(48,1),(51,1),(72,1),(73,1)}
        61:{1,2,3,4,6,7}:{(48,1),(52,1),(73,1),(74,1),(97,1),(102,1)}
        62:{2,4,5,6}:{(49,1),(71,1),(76,1)}
        63:{1,3,5,6}:{(50,1),(72,1),(76,1),(77,1)}
        64:{1,2,4,6}:{(51,1),(73,1),(77,1),(78,1)}
        65:{1,2,3,5}:{(52,1),(78,1)}
        66:{1,3,5,6,7}:{(53,1),(54,1),(68,1),(79,1)}
        67:{1,2,4,5,6,7}:{(54,1),(69,1),(79,1),(80,1),(98,1),(107,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(66,1),(81,1),(82,1),(109,1),(119,1)}
        69:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(81,1),(82,1)}
        70:{1,2,3,5,6,7}:{(57,1),(60,1),(82,1),(83,1),(88,1),(93,1),(111,1)}
        71:{2,4,5,7}:{(58,1),(62,1),(81,1),(85,1)}
        72:{1,3,5,7}:{(59,1),(63,1),(82,1),(85,1),(86,1)}
        73:{1,2,4,7}:{(60,1),(64,1),(86,1)}
        74:{1,2,3,5,7}:{(61,1),(65,1),(87,1),(88,1),(111,1)}
        75:{1,2,4,5,6}:{(62,1),(84,1),(89,1),(117,1),(140,1),(145,1)}
        76:{2,3,5,6}:{(62,1),(63,1),(85,1),(89,1),(90,1)}
        77:{1,3,4,6}:{(63,1),(64,1),(86,1),(90,1),(91,1)}
        78:{1,2,4,5}:{(64,1),(65,1),(91,1)}
        79:{2,5,6,7}:{(66,1),(81,1)}
        80:{1,3,5,6,7}:{(67,1),(82,1),(93,1),(94,1),(111,1)}
        81:{2,4,6,7}:{(68,1),(71,1),(79,1),(96,1)}
        82:{1,3,6,7}:{(69,1),(72,1),(96,1)}
        83:{1,2,4,6,7}:{(70,1),(73,1),(97,1),(98,1),(102,1),(107,1)}
        84:{1,2,4,5,7}:{(71,1),(75,1),(95,1),(99,1),(126,1),(131,1),(141,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(76,1),(96,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(77,1),(100,1)}
        87:{1,2,4,5,7}:{(73,1),(74,1),(78,1),(101,1),(102,1)}
        88:{1,2,3,5,6}:{(74,1),(102,1),(125,1)}
        89:{1,3,5,6}:{(75,1),(76,1),(99,1),(104,1)}
        90:{2,3,4,6}:{(76,1),(77,1),(100,1),(104,1),(105,1)}
        91:{1,3,4,5}:{(77,1),(78,1),(105,1)}
        92:{1,2,5,6,7}:{(79,1),(95,1),(106,1),(141,1)}
        93:{2,3,5,6,7}:{(79,1),(80,1),(96,1),(106,1),(107,1),(124,1)}
        94:{1,3,4,6,7}:{(80,1),(107,1),(108,1)}
        95:{1,2,4,6,7}:{(81,1),(84,1),(92,1),(109,1),(119,1)}
        96:{2,3,6,7}:{(81,1),(82,1),(85,1),(109,1)}
        97:{1,3,4,6,7}:{(82,1),(83,1),(86,1),(110,1),(111,1),(116,1)}
        98:{1,2,4,5,7}:{(83,1),(111,1),(112,1),(120,1)}
        99:{1,3,5,7}:{(84,1),(85,1),(89,1),(109,1),(114,1)}
       100:{2,3,4,7}:{(85,1),(86,1),(90,1),(114,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(91,1),(111,1),(115,1),(116,1)}
       102:{1,2,4,6}:{(87,1),(88,1),(116,1)}
       103:{1,2,3,5,6}:{(89,1),(113,1),(117,1),(139,1),(145,1),(146,1)}
       104:{1,3,4,6}:{(89,1),(90,1),(114,1),(117,1),(118,1)}
       105:{2,3,4,5}:{(90,1),(91,1),(118,1)}
       106:{1,3,5,6,7}:{(92,1),(93,1),(109,1),(119,1),(134,1)}
       107:{2,4,6,7}:{(93,1),(94,1),(119,1),(120,1)}
       108:{1,3,4,5,7}:{(94,1),(111,1),(120,1),(121,1)}
       109:{1,3,6,7}:{(95,1),(96,1),(99,1)}
       110:{2,3,4,6,7}:{(96,1),(97,1),(100,1),(107,1),(123,1),(124,1),(128,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(124,1),(125,1)}
       112:{1,2,4,5,6}:{(98,1),(102,1),(125,1),(132,1)}
       113:{1,2,3,5,7}:{(99,1),(103,1),(122,1),(126,1),(141,1)}
       114:{1,3,4,7}:{(99,1),(100,1),(104,1),(126,1)}
       115:{2,3,4,5,7}:{(100,1),(101,1),(105,1),(124,1),(127,1),(128,1)}
       116:{1,3,4,6}:{(101,1),(102,1),(125,1),(128,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(126,1),(130,1)}
       118:{1,3,4,5}:{(104,1),(105,1),(130,1)}
       119:{1,4,6,7}:{(106,1),(107,1),(131,1)}
       120:{2,4,5,7}:{(107,1),(108,1),(124,1),(131,1),(132,1)}
       121:{1,3,4,5,6}:{(108,1),(125,1),(132,1)}
       122:{1,2,3,6,7}:{(109,1),(113,1),(133,1),(146,1)}
       123:{1,3,4,6,7}:{(109,1),(110,1),(114,1),(119,1),(133,1),(134,1),(138,1)}
       124:{2,3,5,7}:{(110,1),(111,1),(120,1),(134,1),(135,1)}
       125:{1,3,5,6}:{(111,1),(112,1),(116,1),(135,1)}
       126:{1,2,4,7}:{(113,1),(114,1),(117,1)}
       127:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(134,1),(137,1),(138,1)}
       128:{2,3,4,6}:{(115,1),(116,1),(135,1),(138,1)}
       129:{1,2,3,4,6}:{(117,1),(136,1),(139,1),(146,1)}
       130:{1,2,4,5}:{(117,1),(118,1),(139,1)}
       131:{1,4,5,7}:{(119,1),(120,1),(134,1),(140,1)}
       132:{2,4,5,6}:{(120,1),(121,1),(135,1),(140,1)}
       133:{1,2,4,6,7}:{(122,1),(123,1),(126,1),(141,1),(144,1)}
       134:{1,3,5,7}:{(123,1),(124,1),(131,1),(141,1),(142,1)}
       135:{2,3,5,6}:{(124,1),(125,1),(128,1),(132,1),(142,1)}
       136:{1,2,3,4,7}:{(126,1),(129,1),(143,1)}
       137:{1,2,4,5,7}:{(126,1),(127,1),(130,1),(141,1),(143,1),(144,1)}
       138:{1,3,4,6}:{(127,1),(128,1),(142,1),(144,1)}
       139:{1,2,3,5}:{(129,1),(130,1)}
       140:{1,4,5,6}:{(131,1),(132,1),(142,1)}
       141:{1,2,5,7}:{(133,1),(134,1),(145,1)}
       142:{1,3,5,6}:{(134,1),(135,1),(138,1),(140,1),(145,1)}
       143:{1,2,3,5,7}:{(136,1),(137,1),(139,1),(146,1)}
       144:{1,2,4,6}:{(137,1),(138,1),(145,1),(146,1)}
       145:{1,2,5,6}:{(141,1),(142,1),(144,1)}
       146:{1,2,3,6}:{(143,1),(144,1)}

2743 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(16,1),(139,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(146,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(19,1),(26,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(16,1),(41,1),(140,1),(152,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1)}
         9:{1,2,3,6}:{(4,1),(15,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(17,1),(31,1),(41,1)}
        11:{1,2,4,5,6}:{(8,1),(19,1),(20,1),(26,1),(28,1),(57,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(24,1),(25,1),(58,1),(130,1),(148,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(19,1),(23,1),(25,1)}
        15:{1,2,4,6}:{(7,1),(9,1),(24,1),(26,1)}
        16:{1,2,4,7}:{(8,1),(10,1),(25,1)}
        17:{1,2,3,6,7}:{(9,1),(10,1),(27,1),(47,1),(153,1)}
        18:{1,3,4,5,6}:{(19,1),(28,1),(29,1),(57,1),(90,1)}
        19:{1,3,5,6}:{(11,1),(14,1),(30,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(16,1),(31,1),(32,1),(41,1),(43,1),(75,1)}
        21:{1,3,4,5}:{(12,1),(34,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(74,1),(120,1),(142,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(30,1),(36,1),(38,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(37,1),(39,1)}
        25:{1,3,4,7}:{(14,1),(16,1),(31,1),(38,1)}
        26:{1,2,5,6}:{(15,1),(39,1),(41,1)}
        27:{1,2,4,6,7}:{(15,1),(16,1),(17,1),(40,1),(41,1),(150,1),(152,1)}
        28:{2,4,5,6}:{(18,1),(30,1),(42,1),(43,1)}
        29:{1,3,4,5,7}:{(18,1),(31,1),(43,1),(44,1),(75,1),(104,1)}
        30:{2,3,5,6}:{(19,1),(23,1),(28,1),(45,1),(46,1)}
        31:{1,3,5,7}:{(19,1),(20,1),(25,1),(46,1),(47,1)}
        32:{1,2,4,6,7}:{(20,1),(47,1),(48,1),(60,1),(82,1)}
        33:{1,2,3,4}:{(50,1)}
        34:{1,2,4,5}:{(21,1),(50,1),(52,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(51,1),(53,1),(54,1),(89,1),(110,1),(132,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(45,1),(52,1),(54,1)}
        37:{2,3,4,6}:{(22,1),(24,1),(53,1),(55,1)}
        38:{2,3,4,7}:{(23,1),(25,1),(46,1),(54,1)}
        39:{1,3,5,6}:{(24,1),(26,1),(55,1),(57,1),(58,1)}
        40:{1,3,4,6,7}:{(24,1),(25,1),(27,1),(47,1),(56,1),(58,1),(82,1),(145,1),(148,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(58,1)}
        42:{1,4,5,6}:{(28,1),(45,1),(59,1)}
        43:{2,4,5,7}:{(28,1),(29,1),(46,1),(59,1),(60,1)}
        44:{1,3,4,6,7}:{(29,1),(47,1),(60,1),(61,1),(82,1),(109,1)}
        45:{1,3,5,6}:{(30,1),(36,1),(42,1),(62,1),(63,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(38,1),(43,1),(63,1),(64,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(64,1)}
        48:{1,2,5,6,7}:{(32,1),(41,1),(65,1),(77,1),(150,1)}
        49:{1,2,3,4,7}:{(33,1),(66,1),(67,1),(122,1)}
        50:{1,2,3,5}:{(33,1),(34,1),(68,1)}
        51:{1,2,4,5,7}:{(34,1),(35,1),(67,1),(69,1),(70,1),(97,1),(101,1),(122,1)}
        52:{1,2,4,6}:{(34,1),(36,1),(62,1),(68,1),(70,1)}
        53:{1,3,4,6}:{(35,1),(37,1),(69,1),(71,1)}
        54:{1,3,4,7}:{(36,1),(38,1),(63,1),(70,1)}
        55:{2,3,5,6}:{(37,1),(39,1),(71,1),(73,1),(74,1)}
        56:{2,3,4,6,7}:{(37,1),(38,1),(40,1),(64,1),(72,1),(74,1),(96,1),(137,1),(142,1)}
        57:{1,4,5,6}:{(39,1),(73,1),(75,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(41,1),(74,1),(75,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(63,1),(76,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(64,1),(76,1),(77,1)}
        61:{1,3,5,6,7}:{(44,1),(77,1),(78,1),(106,1)}
        62:{1,2,5,6}:{(45,1),(52,1),(79,1)}
        63:{1,3,5,7}:{(45,1),(46,1),(54,1),(59,1),(79,1),(80,1)}
        64:{2,3,6,7}:{(46,1),(47,1),(60,1),(80,1)}
        65:{1,3,5,6,7}:{(47,1),(48,1),(58,1),(81,1),(82,1),(136,1),(145,1)}
        66:{1,2,3,4,6}:{(49,1),(83,1),(84,1),(111,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(51,1),(83,1),(84,1),(85,1)}
        68:{1,2,3,6}:{(50,1),(52,1),(85,1)}
        69:{1,2,4,6}:{(51,1),(53,1),(84,1),(86,1)}
        70:{1,2,4,7}:{(52,1),(54,1),(79,1),(85,1)}
        71:{1,3,5,6}:{(53,1),(55,1),(86,1),(88,1),(89,1)}
        72:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(80,1),(87,1),(89,1),(108,1),(128,1),(132,1)}
        73:{2,4,5,6}:{(55,1),(57,1),(88,1),(90,1),(91,1)}
        74:{2,3,5,7}:{(55,1),(56,1),(58,1),(89,1),(91,1)}
        75:{1,4,5,7}:{(57,1),(58,1),(82,1),(91,1)}
        76:{1,4,6,7}:{(59,1),(60,1),(80,1),(92,1)}
        77:{2,5,6,7}:{(60,1),(61,1),(92,1)}
        78:{1,4,5,6,7}:{(61,1),(82,1),(93,1),(136,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(70,1),(94,1)}
        80:{1,3,6,7}:{(63,1),(64,1),(76,1),(94,1)}
        81:{2,3,5,6,7}:{(64,1),(65,1),(74,1),(77,1),(95,1),(96,1),(106,1),(127,1),(137,1)}
        82:{1,4,6,7}:{(65,1),(75,1),(96,1)}
        83:{1,2,3,5}:{(66,1),(97,1)}
        84:{1,2,3,6}:{(67,1),(69,1)}
        85:{1,2,3,7}:{(68,1),(70,1)}
        86:{1,2,5,6}:{(69,1),(71,1),(101,1)}
        87:{1,2,4,6,7}:{(69,1),(70,1),(72,1),(94,1),(99,1),(101,1),(122,1)}
        88:{1,4,5,6}:{(71,1),(73,1),(103,1)}
        89:{1,3,5,7}:{(71,1),(72,1),(74,1),(101,1),(103,1)}
        90:{3,4,5,6}:{(73,1),(104,1)}
        91:{2,4,5,7}:{(73,1),(74,1),(75,1),(96,1),(103,1),(104,1)}
        92:{1,5,6,7}:{(76,1),(77,1)}
        93:{2,4,5,6,7}:{(77,1),(78,1),(96,1),(105,1),(106,1),(127,1)}
        94:{1,2,6,7}:{(79,1),(80,1)}
        95:{1,3,5,6,7}:{(80,1),(81,1),(89,1),(92,1),(107,1),(108,1),(128,1)}
        96:{2,4,6,7}:{(81,1),(82,1),(91,1),(108,1),(109,1)}
        97:{1,2,4,5}:{(83,1),(110,1),(111,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(86,1),(111,1),(112,1),(113,1)}
        99:{1,2,3,6,7}:{(84,1),(85,1),(87,1),(112,1),(128,1)}
       100:{1,2,4,5,6}:{(86,1),(88,1),(111,1),(113,1),(114,1),(115,1)}
       101:{1,2,5,7}:{(86,1),(87,1),(89,1)}
       102:{1,3,4,5,6}:{(88,1),(90,1),(113,1),(115,1),(116,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(91,1),(108,1)}
       104:{3,4,5,7}:{(90,1),(91,1),(109,1)}
       105:{1,4,5,6,7}:{(92,1),(93,1),(108,1),(117,1)}
       106:{3,5,6,7}:{(93,1),(109,1)}
       107:{1,2,5,6,7}:{(94,1),(95,1),(101,1),(118,1),(127,1)}
       108:{1,4,6,7}:{(95,1),(96,1),(103,1)}
       109:{3,4,6,7}:{(96,1),(104,1),(106,1)}
       110:{1,3,4,5}:{(97,1),(120,1),(121,1)}
       111:{1,2,4,6}:{(97,1),(98,1),(121,1),(122,1)}
       112:{1,2,3,5,7}:{(98,1),(99,1),(101,1),(122,1),(124,1)}
       113:{1,3,5,6}:{(100,1),(121,1),(123,1),(124,1)}
       114:{1,2,4,5,7}:{(100,1),(101,1),(103,1),(118,1),(122,1),(124,1),(126,1)}
       115:{2,4,5,6}:{(102,1),(123,1),(125,1),(126,1)}
       116:{1,3,4,5,7}:{(102,1),(103,1),(104,1),(119,1),(124,1),(126,1)}
       117:{1,3,5,6,7}:{(105,1),(106,1),(119,1),(127,1)}
       118:{1,2,4,6,7}:{(107,1),(108,1),(114,1),(128,1),(129,1)}
       119:{1,3,4,6,7}:{(108,1),(109,1),(116,1),(117,1),(128,1),(129,1)}
       120:{2,3,4,5}:{(110,1),(130,1),(131,1)}
       121:{1,3,4,6}:{(110,1),(111,1),(113,1),(131,1),(132,1)}
       122:{1,2,4,7}:{(111,1),(112,1),(132,1)}
       123:{2,3,5,6}:{(113,1),(115,1),(131,1),(133,1),(134,1)}
       124:{1,3,5,7}:{(113,1),(114,1),(128,1),(132,1),(134,1)}
       125:{1,4,5,6}:{(115,1),(133,1),(135,1)}
       126:{2,4,5,7}:{(115,1),(116,1),(129,1),(134,1),(135,1)}
       127:{2,5,6,7}:{(117,1),(129,1),(136,1)}
       128:{1,3,6,7}:{(118,1),(124,1),(137,1)}
       129:{2,4,6,7}:{(119,1),(126,1),(127,1),(137,1),(138,1)}
       130:{1,3,4,5}:{(120,1),(140,1),(141,1)}
       131:{2,3,4,6}:{(120,1),(121,1),(123,1),(141,1),(142,1)}
       132:{1,3,4,7}:{(121,1),(122,1),(124,1),(142,1)}
       133:{1,3,5,6}:{(123,1),(125,1),(141,1),(143,1),(144,1)}
       134:{2,3,5,7}:{(123,1),(124,1),(126,1),(137,1),(142,1),(144,1)}
       135:{1,4,5,7}:{(125,1),(126,1),(138,1),(144,1)}
       136:{1,5,6,7}:{(127,1),(138,1)}
       137:{2,3,6,7}:{(128,1),(129,1),(134,1),(145,1)}
       138:{1,4,6,7}:{(129,1),(135,1),(136,1),(145,1)}
       139:{1,2,3,4}:{(146,1)}
       140:{1,2,4,5}:{(130,1),(146,1),(147,1)}
       141:{1,3,4,6}:{(130,1),(131,1),(133,1),(147,1),(148,1)}
       142:{2,3,4,7}:{(131,1),(132,1),(134,1),(148,1)}
       143:{1,2,5,6}:{(133,1),(147,1),(149,1)}
       144:{1,3,5,7}:{(133,1),(134,1),(135,1),(145,1),(148,1),(149,1)}
       145:{1,3,6,7}:{(137,1),(138,1),(144,1),(150,1)}
       146:{1,2,3,5}:{(139,1),(140,1),(151,1)}
       147:{1,2,4,6}:{(140,1),(141,1),(143,1),(151,1),(152,1)}
       148:{1,3,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       149:{1,2,5,7}:{(143,1),(144,1),(150,1),(152,1)}
       150:{1,2,6,7}:{(145,1),(149,1)}
       151:{1,2,3,6}:{(146,1),(147,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2744 :   0:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(19,1),(101,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(125,1)}
         3:{1,3,4,7}:{(2,1),(7,1),(8,1),(9,1),(70,1),(124,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(112,1),(123,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(12,1),(33,1),(36,1),(70,1)}
         6:{1,3,4,5,7}:{(9,1),(12,1),(13,1),(33,1),(41,1),(67,1),(70,1),(97,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(16,1),(17,1),(85,1),(121,1)}
         8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(52,1),(102,1),(120,1)}
         9:{1,3,5,7}:{(3,1),(5,1),(17,1),(18,1),(19,1)}
        10:{1,2,5}:{(4,1),(18,1)}
        11:{1,2,4,6}:{(5,1),(19,1),(20,1),(23,1),(52,1)}
        12:{2,4,5,7}:{(6,1),(17,1),(22,1),(23,1),(49,1),(57,1),(85,1)}
        13:{1,3,4,6}:{(6,1),(19,1),(23,1),(24,1),(52,1),(84,1)}
        14:{1,2,3,7}:{(27,1),(28,1),(115,1)}
        15:{1,3,4,7}:{(7,1),(28,1),(29,1),(30,1),(96,1),(115,1)}
        16:{2,3,4,6}:{(7,1),(8,1),(29,1),(31,1),(32,1),(68,1),(90,1),(114,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(12,1),(30,1),(31,1),(32,1)}
        18:{1,3,5}:{(8,1),(10,1),(31,1),(33,1)}
        19:{1,3,6}:{(9,1),(11,1),(32,1)}
        20:{1,2,5,6}:{(10,1),(11,1),(34,1),(36,1),(38,1),(123,1)}
        21:{1,2,4,6,7}:{(11,1),(35,1),(36,1),(39,1),(70,1)}
        22:{1,4,5,7}:{(12,1),(30,1),(37,1),(64,1),(72,1),(96,1)}
        23:{2,4,6}:{(12,1),(13,1),(32,1),(37,1),(38,1)}
        24:{1,3,5,6}:{(13,1),(38,1),(40,1),(41,1),(73,1)}
        25:{1,3,4,6,7}:{(13,1),(35,1),(39,1),(41,1),(43,1),(70,1),(76,1),(97,1)}
        26:{1,3,5,6,7}:{(41,1),(42,1),(43,1),(76,1)}
        27:{1,2,3,6}:{(14,1),(44,1),(45,1),(104,1)}
        28:{1,2,4,7}:{(14,1),(15,1),(45,1),(46,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(45,1),(47,1),(48,1),(77,1),(82,1),(104,1)}
        30:{1,3,5,7}:{(15,1),(17,1),(22,1),(46,1),(47,1),(48,1)}
        31:{2,3,5}:{(16,1),(18,1),(47,1),(49,1)}
        32:{2,3,6}:{(17,1),(19,1),(23,1),(48,1)}
        33:{1,4,5}:{(18,1),(49,1),(52,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(20,1),(50,1),(52,1),(53,1),(109,1),(120,1)}
        35:{1,3,6,7}:{(19,1),(21,1),(51,1),(53,1),(111,1)}
        36:{1,2,5,7}:{(20,1),(21,1),(53,1),(57,1),(125,1)}
        37:{1,4,6}:{(22,1),(23,1),(48,1),(54,1)}
        38:{2,5,6}:{(23,1),(24,1),(54,1),(57,1)}
        39:{2,4,6,7}:{(23,1),(25,1),(51,1),(55,1),(57,1),(85,1)}
        40:{1,4,5,6}:{(24,1),(52,1),(56,1),(58,1),(109,1)}
        41:{1,3,5,7}:{(24,1),(25,1),(57,1),(58,1),(88,1)}
        42:{2,5,6,7}:{(26,1),(57,1),(59,1),(60,1)}
        43:{1,4,6,7}:{(26,1),(58,1),(60,1),(111,1)}
        44:{1,2,3,5}:{(27,1),(61,1),(62,1),(91,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(29,1),(61,1),(62,1),(63,1)}
        46:{1,2,5,7}:{(28,1),(30,1),(62,1),(63,1)}
        47:{1,3,5}:{(29,1),(31,1),(62,1),(64,1)}
        48:{1,3,6}:{(30,1),(32,1),(37,1),(63,1)}
        49:{2,4,5}:{(31,1),(33,1),(64,1),(67,1),(68,1)}
        50:{2,3,5,6}:{(31,1),(32,1),(34,1),(38,1),(65,1),(68,1),(69,1),(73,1),(98,1),(114,1)}
        51:{2,3,6,7}:{(32,1),(35,1),(39,1),(66,1),(69,1),(76,1),(100,1)}
        52:{1,4,6}:{(33,1),(34,1),(68,1),(70,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(36,1),(69,1),(70,1),(118,1),(124,1)}
        54:{1,5,6}:{(37,1),(38,1),(72,1)}
        55:{1,4,6,7}:{(37,1),(39,1),(66,1),(72,1),(96,1)}
        56:{2,4,5,6}:{(38,1),(40,1),(68,1),(71,1),(73,1),(74,1),(98,1)}
        57:{2,5,7}:{(38,1),(39,1),(41,1),(72,1)}
        58:{1,4,5,7}:{(40,1),(41,1),(43,1),(70,1),(74,1),(118,1)}
        59:{1,5,6,7}:{(42,1),(72,1),(75,1)}
        60:{2,4,6,7}:{(42,1),(43,1),(74,1),(75,1),(76,1),(100,1)}
        61:{1,2,4}:{(44,1),(77,1)}
        62:{1,2,5}:{(45,1),(47,1)}
        63:{1,2,6}:{(46,1),(48,1)}
        64:{1,4,5}:{(47,1),(49,1),(82,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(50,1),(54,1),(79,1),(82,1),(83,1),(104,1)}
        66:{1,3,6,7}:{(48,1),(51,1),(55,1),(80,1),(83,1)}
        67:{3,4,5}:{(49,1),(84,1)}
        68:{2,4,6}:{(49,1),(50,1),(52,1),(82,1),(84,1),(85,1)}
        69:{2,3,5,7}:{(50,1),(51,1),(53,1),(57,1),(83,1),(85,1),(88,1),(110,1),(121,1)}
        70:{1,4,7}:{(52,1),(53,1),(85,1)}
        71:{1,4,5,6}:{(54,1),(56,1),(82,1),(86,1),(87,1)}
        72:{1,5,7}:{(54,1),(55,1),(57,1)}
        73:{3,5,6}:{(56,1),(84,1),(88,1)}
        74:{2,4,5,7}:{(56,1),(57,1),(58,1),(60,1),(85,1),(87,1),(88,1),(110,1)}
        75:{1,4,6,7}:{(59,1),(60,1),(87,1),(89,1)}
        76:{3,6,7}:{(60,1),(88,1)}
        77:{1,3,4}:{(61,1),(90,1),(91,1)}
        78:{1,2,4,5}:{(61,1),(62,1),(64,1),(91,1),(92,1),(94,1)}
        79:{1,2,5,6}:{(62,1),(63,1),(65,1),(92,1),(93,1),(98,1)}
        80:{1,2,6,7}:{(63,1),(66,1),(93,1),(100,1)}
        81:{1,3,4,5}:{(64,1),(67,1),(91,1),(94,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(68,1),(96,1)}
        83:{1,3,5,7}:{(65,1),(66,1),(69,1),(72,1),(93,1),(96,1),(115,1)}
        84:{3,4,6}:{(67,1),(68,1),(73,1),(97,1)}
        85:{2,4,7}:{(68,1),(69,1),(70,1),(96,1),(97,1)}
        86:{1,3,5,6}:{(71,1),(73,1),(95,1),(98,1),(99,1)}
        87:{1,4,5,7}:{(71,1),(72,1),(74,1),(75,1),(96,1),(99,1)}
        88:{3,5,7}:{(73,1),(74,1),(76,1),(97,1)}
        89:{1,3,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        90:{2,3,4}:{(77,1),(102,1),(103,1)}
        91:{1,3,5}:{(77,1),(78,1),(103,1),(104,1)}
        92:{1,2,4,6}:{(78,1),(79,1),(82,1),(104,1),(105,1),(107,1)}
        93:{1,2,5,7}:{(79,1),(80,1),(83,1),(105,1),(110,1)}
        94:{2,4,5}:{(81,1),(103,1),(106,1),(107,1)}
        95:{1,3,4,6}:{(81,1),(82,1),(84,1),(86,1),(104,1),(107,1),(108,1)}
        96:{1,4,7}:{(82,1),(83,1),(85,1)}
        97:{3,4,7}:{(84,1),(85,1),(88,1)}
        98:{2,5,6}:{(86,1),(107,1),(109,1),(110,1)}
        99:{1,3,5,7}:{(86,1),(87,1),(88,1),(89,1),(108,1),(110,1)}
       100:{2,6,7}:{(89,1),(110,1),(111,1)}
       101:{1,2,3}:{(112,1)}
       102:{1,3,4}:{(90,1),(112,1),(113,1)}
       103:{2,3,5}:{(90,1),(91,1),(94,1),(113,1),(114,1)}
       104:{1,3,6}:{(91,1),(92,1),(114,1),(115,1)}
       105:{1,2,4,7}:{(92,1),(93,1),(96,1),(115,1),(117,1)}
       106:{1,4,5}:{(94,1),(113,1),(116,1)}
       107:{2,4,6}:{(94,1),(95,1),(98,1),(114,1),(116,1),(117,1)}
       108:{1,3,4,7}:{(95,1),(96,1),(97,1),(99,1),(115,1),(117,1)}
       109:{1,5,6}:{(98,1),(116,1),(118,1)}
       110:{2,5,7}:{(98,1),(99,1),(100,1),(117,1),(118,1)}
       111:{1,6,7}:{(100,1),(118,1)}
       112:{1,2,4}:{(101,1),(102,1),(119,1)}
       113:{1,3,5}:{(102,1),(103,1),(106,1),(119,1),(120,1)}
       114:{2,3,6}:{(103,1),(104,1),(107,1),(120,1),(121,1)}
       115:{1,3,7}:{(104,1),(105,1),(121,1)}
       116:{1,4,6}:{(106,1),(107,1),(109,1),(120,1),(122,1)}
       117:{2,4,7}:{(107,1),(108,1),(110,1),(121,1),(122,1)}
       118:{1,5,7}:{(109,1),(110,1),(111,1),(122,1)}
       119:{1,2,5}:{(112,1),(113,1),(123,1)}
       120:{1,3,6}:{(113,1),(114,1),(116,1),(123,1),(124,1)}
       121:{2,3,7}:{(114,1),(115,1),(117,1),(124,1)}
       122:{1,4,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,2,6}:{(119,1),(120,1),(125,1)}
       124:{1,3,7}:{(120,1),(121,1),(122,1),(125,1)}
       125:{1,2,7}:{(123,1),(124,1)}

2745 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(148,1)}
         3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(25,1),(30,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1),(139,1),(152,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(13,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(14,1),(16,1),(17,1),(46,1),(129,1),(146,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(42,1),(46,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(23,1),(25,1),(26,1)}
        14:{1,3,4,5,7}:{(6,1),(8,1),(24,1),(26,1),(27,1),(62,1),(118,1),(137,1)}
        15:{1,2,4,5,6}:{(7,1),(25,1),(28,1),(30,1),(31,1),(63,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(26,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(27,1),(30,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(29,1),(61,1),(152,1)}
        19:{1,3,4,5,6}:{(25,1),(31,1),(32,1),(63,1),(96,1)}
        20:{1,2,3,5}:{(11,1),(33,1),(34,1)}
        21:{1,2,3,4,7}:{(11,1),(35,1),(36,1),(103,1)}
        22:{1,3,4,5}:{(12,1),(33,1),(37,1)}
        23:{2,3,4,6}:{(12,1),(13,1),(37,1),(39,1),(40,1)}
        24:{2,3,4,5,7}:{(12,1),(14,1),(38,1),(40,1),(41,1),(78,1),(105,1),(127,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(39,1),(42,1)}
        26:{1,3,4,7}:{(13,1),(16,1),(40,1),(42,1)}
        27:{1,3,4,6}:{(14,1),(17,1),(41,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(42,1),(45,1),(46,1),(48,1),(81,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(43,1),(46,1),(146,1),(153,1)}
        30:{1,2,5,6}:{(17,1),(44,1),(46,1)}
        31:{2,4,5,6}:{(19,1),(39,1),(47,1),(48,1)}
        32:{1,3,4,5,7}:{(19,1),(42,1),(48,1),(49,1),(81,1),(110,1)}
        33:{1,2,4,5}:{(20,1),(22,1),(50,1)}
        34:{1,2,3,6}:{(20,1),(50,1),(52,1)}
        35:{1,2,3,5,7}:{(20,1),(21,1),(51,1),(52,1),(53,1),(54,1)}
        36:{1,2,3,4,6}:{(21,1),(53,1),(54,1),(89,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(50,1),(55,1),(56,1)}
        38:{1,3,4,5,7}:{(22,1),(24,1),(51,1),(56,1),(57,1),(90,1),(92,1),(116,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(31,1),(55,1),(58,1)}
        40:{2,3,4,7}:{(23,1),(26,1),(56,1),(58,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(57,1),(60,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(58,1),(61,1)}
        43:{1,3,4,6,7}:{(26,1),(27,1),(29,1),(59,1),(61,1),(62,1),(97,1),(137,1),(150,1)}
        44:{1,3,5,6}:{(27,1),(30,1),(60,1),(62,1),(63,1)}
        45:{1,2,4,6,7}:{(28,1),(61,1),(64,1),(66,1),(97,1)}
        46:{1,2,5,7}:{(29,1),(30,1),(62,1)}
        47:{1,4,5,6}:{(31,1),(55,1),(65,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(58,1),(65,1),(66,1)}
        49:{1,3,4,6,7}:{(32,1),(61,1),(66,1),(67,1),(97,1),(122,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,2,4,5,7}:{(33,1),(35,1),(38,1),(69,1),(70,1),(73,1),(101,1),(103,1)}
        52:{1,2,3,7}:{(34,1),(69,1)}
        53:{1,2,3,6}:{(35,1),(70,1)}
        54:{1,2,3,5}:{(36,1),(73,1)}
        55:{1,3,5,6}:{(37,1),(39,1),(47,1),(68,1),(74,1)}
        56:{1,3,4,7}:{(37,1),(40,1),(69,1),(74,1)}
        57:{1,3,4,6}:{(38,1),(41,1),(70,1),(76,1)}
        58:{2,3,5,7}:{(39,1),(40,1),(42,1),(48,1),(74,1),(77,1)}
        59:{2,3,4,6,7}:{(40,1),(41,1),(43,1),(75,1),(77,1),(78,1),(109,1),(127,1),(143,1)}
        60:{2,3,5,6}:{(41,1),(44,1),(76,1),(78,1),(79,1)}
        61:{1,3,6,7}:{(42,1),(45,1),(77,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(46,1),(78,1),(81,1)}
        63:{1,4,5,6}:{(44,1),(79,1),(81,1)}
        64:{1,2,5,6,7}:{(45,1),(46,1),(80,1),(83,1),(153,1)}
        65:{1,4,5,7}:{(47,1),(48,1),(74,1),(82,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(77,1),(82,1),(83,1)}
        67:{1,3,5,6,7}:{(49,1),(83,1),(84,1),(112,1)}
        68:{1,2,5,6}:{(50,1),(55,1),(85,1)}
        69:{1,2,4,7}:{(50,1),(52,1),(56,1),(85,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(57,1),(87,1)}
        71:{1,2,3,6,7}:{(52,1),(53,1),(86,1),(88,1),(134,1)}
        72:{1,2,3,5,6}:{(53,1),(54,1),(87,1),(88,1),(89,1),(115,1)}
        73:{1,2,4,5}:{(54,1),(89,1),(90,1)}
        74:{1,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(85,1),(91,1)}
        75:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(86,1),(91,1),(92,1),(116,1),(119,1),(134,1)}
        76:{1,3,5,6}:{(57,1),(60,1),(87,1),(92,1),(93,1)}
        77:{2,3,6,7}:{(58,1),(61,1),(66,1),(91,1)}
        78:{2,3,5,7}:{(59,1),(60,1),(62,1),(92,1),(95,1)}
        79:{2,4,5,6}:{(60,1),(63,1),(93,1),(95,1),(96,1)}
        80:{1,3,5,6,7}:{(61,1),(62,1),(64,1),(94,1),(97,1),(142,1),(150,1)}
        81:{1,4,5,7}:{(62,1),(63,1),(95,1),(97,1)}
        82:{1,4,6,7}:{(65,1),(66,1),(91,1),(98,1)}
        83:{2,5,6,7}:{(66,1),(67,1),(98,1)}
        84:{1,4,5,6,7}:{(67,1),(97,1),(99,1),(142,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(74,1),(100,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(75,1),(100,1),(101,1),(103,1)}
        87:{1,2,5,6}:{(70,1),(76,1),(101,1)}
        88:{1,2,3,5,7}:{(71,1),(72,1),(101,1),(103,1),(125,1)}
        89:{1,2,4,6}:{(72,1),(73,1),(103,1),(104,1)}
        90:{1,3,4,5}:{(73,1),(104,1),(105,1)}
        91:{1,3,6,7}:{(74,1),(77,1),(82,1),(100,1)}
        92:{1,3,5,7}:{(75,1),(76,1),(78,1),(101,1),(107,1)}
        93:{1,4,5,6}:{(76,1),(79,1),(107,1)}
        94:{2,3,5,6,7}:{(77,1),(78,1),(80,1),(83,1),(106,1),(109,1),(112,1),(133,1),(143,1)}
        95:{2,4,5,7}:{(78,1),(79,1),(81,1),(107,1),(109,1),(110,1)}
        96:{3,4,5,6}:{(79,1),(110,1)}
        97:{1,4,6,7}:{(80,1),(81,1),(109,1)}
        98:{1,5,6,7}:{(82,1),(83,1)}
        99:{2,4,5,6,7}:{(83,1),(84,1),(109,1),(111,1),(112,1),(133,1)}
       100:{1,2,6,7}:{(85,1),(91,1)}
       101:{1,2,5,7}:{(86,1),(87,1),(92,1)}
       102:{1,2,4,5,6}:{(87,1),(89,1),(93,1),(114,1),(115,1),(121,1)}
       103:{1,2,4,7}:{(88,1),(89,1),(116,1)}
       104:{1,3,4,6}:{(89,1),(90,1),(115,1),(116,1),(117,1)}
       105:{2,3,4,5}:{(90,1),(117,1),(118,1)}
       106:{1,3,5,6,7}:{(91,1),(92,1),(94,1),(98,1),(113,1),(119,1),(134,1)}
       107:{1,4,5,7}:{(92,1),(93,1),(95,1),(119,1)}
       108:{1,3,4,5,6}:{(93,1),(96,1),(115,1),(120,1),(121,1)}
       109:{2,4,6,7}:{(94,1),(95,1),(97,1),(119,1),(122,1)}
       110:{3,4,5,7}:{(95,1),(96,1),(122,1)}
       111:{1,4,5,6,7}:{(98,1),(99,1),(119,1),(123,1)}
       112:{3,5,6,7}:{(99,1),(122,1)}
       113:{1,2,5,6,7}:{(100,1),(101,1),(106,1),(124,1),(133,1)}
       114:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(107,1),(124,1),(125,1),(131,1)}
       115:{1,3,5,6}:{(102,1),(104,1),(125,1),(126,1)}
       116:{1,3,4,7}:{(103,1),(104,1),(125,1),(127,1)}
       117:{2,3,4,6}:{(104,1),(105,1),(126,1),(127,1),(128,1)}
       118:{1,3,4,5}:{(105,1),(128,1),(129,1)}
       119:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       120:{1,3,4,5,7}:{(107,1),(108,1),(110,1),(125,1),(130,1),(131,1)}
       121:{2,4,5,6}:{(108,1),(126,1),(131,1),(132,1)}
       122:{3,4,6,7}:{(109,1),(110,1),(112,1)}
       123:{1,3,5,6,7}:{(111,1),(112,1),(130,1),(133,1)}
       124:{1,2,4,6,7}:{(113,1),(114,1),(119,1),(134,1),(140,1)}
       125:{1,3,5,7}:{(114,1),(115,1),(116,1),(134,1),(135,1)}
       126:{2,3,5,6}:{(115,1),(117,1),(121,1),(135,1),(136,1)}
       127:{2,3,4,7}:{(116,1),(117,1),(135,1),(137,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(136,1),(137,1),(138,1)}
       129:{1,2,4,5}:{(118,1),(138,1),(139,1)}
       130:{1,3,4,6,7}:{(119,1),(120,1),(122,1),(123,1),(134,1),(140,1)}
       131:{2,4,5,7}:{(120,1),(121,1),(135,1),(140,1),(141,1)}
       132:{1,4,5,6}:{(121,1),(136,1),(141,1)}
       133:{2,5,6,7}:{(123,1),(140,1),(142,1)}
       134:{1,3,6,7}:{(124,1),(125,1),(143,1)}
       135:{2,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(143,1),(144,1)}
       136:{1,3,5,6}:{(126,1),(128,1),(132,1),(144,1),(145,1)}
       137:{1,3,4,7}:{(127,1),(128,1),(144,1),(146,1)}
       138:{1,2,4,6}:{(128,1),(129,1),(145,1),(146,1),(147,1)}
       139:{1,2,3,5}:{(129,1),(147,1),(148,1)}
       140:{2,4,6,7}:{(130,1),(131,1),(133,1),(143,1),(149,1)}
       141:{1,4,5,7}:{(131,1),(132,1),(144,1),(149,1)}
       142:{1,5,6,7}:{(133,1),(149,1)}
       143:{2,3,6,7}:{(134,1),(135,1),(140,1),(150,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(141,1),(150,1),(151,1)}
       145:{1,2,5,6}:{(136,1),(138,1),(151,1)}
       146:{1,2,4,7}:{(137,1),(138,1),(151,1),(152,1)}
       147:{1,2,3,6}:{(138,1),(139,1),(152,1)}
       148:{1,2,3,4}:{(139,1)}
       149:{1,4,6,7}:{(140,1),(141,1),(142,1),(150,1)}
       150:{1,3,6,7}:{(143,1),(144,1),(149,1),(153,1)}
       151:{1,2,5,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,3,7}:{(146,1),(147,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2746 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2747 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2748 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2749 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(46,1),(48,1),(80,1),(85,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(31,1),(67,1),(99,1),(105,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(70,1),(94,1),(100,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(85,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(44,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(19,1),(21,1),(87,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(105,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(13,1),(25,1),(30,1)}
        20:{1,2,4,5,6}:{(13,1),(29,1),(31,1),(66,1),(72,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(106,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(51,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(44,1),(79,1),(83,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(21,1),(40,1),(44,1),(45,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(44,1),(46,1),(47,1),(91,1),(117,1),(120,1),(135,1)}
        32:{2,3,4,6}:{(21,1),(45,1),(47,1),(48,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(46,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(70,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(64,1)}
        45:{2,3,4,7}:{(30,1),(32,1),(64,1)}
        46:{2,3,5,6}:{(31,1),(63,1),(66,1),(106,1),(124,1),(129,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(64,1),(66,1),(67,1)}
        48:{2,3,4,5}:{(32,1),(67,1),(106,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(63,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(66,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(85,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(90,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(51,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(46,1),(81,1),(82,1),(117,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(46,1),(75,1),(83,1),(111,1)}
        64:{1,3,4,7}:{(44,1),(45,1),(47,1),(83,1)}
        65:{2,3,4,5,7}:{(45,1),(48,1),(50,1),(77,1),(84,1),(85,1),(118,1),(132,1)}
        66:{2,4,6}:{(46,1),(47,1),(83,1),(87,1)}
        67:{1,3,4,5}:{(47,1),(48,1),(87,1),(91,1),(117,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(83,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(86,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(87,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(64,1),(94,1),(95,1),(105,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(70,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(100,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(66,1),(100,1),(101,1),(102,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1)}
        84:{1,3,4,5,7}:{(64,1),(65,1),(67,1),(69,1),(95,1),(104,1),(105,1),(107,1),(127,1),(136,1)}
        85:{2,3,4,6}:{(65,1),(70,1),(96,1),(105,1),(129,1),(138,1)}
        86:{2,3,4,6}:{(66,1),(71,1),(101,1),(103,1),(106,1),(129,1)}
        87:{2,4,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(103,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(104,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(106,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(83,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(85,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(90,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(83,1),(115,1)}
       101:{1,3,4,6}:{(82,1),(86,1),(115,1),(117,1),(135,1)}
       102:{1,2,4,5}:{(82,1),(87,1),(117,1)}
       103:{2,3,4,7}:{(83,1),(86,1),(88,1),(115,1),(118,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(87,1),(111,1),(118,1),(119,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(90,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       106:{2,3,5}:{(86,1),(87,1),(91,1),(117,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(105,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(104,1),(122,1),(127,1),(128,1),(136,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(106,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(104,1),(105,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2750 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2751 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2752 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(30,1),(94,1),(103,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(44,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(103,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(80,1),(120,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(82,1),(138,1),(142,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(63,1),(105,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(103,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(120,1),(142,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(29,1),(36,1),(58,1),(68,1),(98,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(105,1),(135,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(100,1),(130,1),(134,1)}
        29:{1,2,3,5,7}:{(19,1),(20,1),(42,1),(43,1),(117,1)}
        30:{1,2,3,4,6}:{(41,1),(44,1),(74,1),(81,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(142,1)}
        41:{1,2,3,4,7}:{(30,1),(56,1),(103,1)}
        42:{1,2,4,5,7}:{(29,1),(31,1),(57,1),(58,1),(68,1)}
        43:{1,2,3,5,6}:{(29,1),(58,1),(97,1)}
        44:{1,2,3,5}:{(30,1),(61,1)}
        45:{2,3,4,5,6}:{(33,1),(64,1),(65,1),(104,1),(128,1)}
        46:{1,3,4,5}:{(31,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(130,1),(135,1)}
        56:{1,2,3,5,7}:{(41,1),(44,1),(73,1),(74,1)}
        57:{1,3,4,5,7}:{(42,1),(46,1),(75,1),(76,1),(88,1),(117,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(76,1)}
        59:{1,2,3,5,6,7}:{(43,1),(48,1),(78,1),(91,1),(117,1),(124,1),(140,1)}
        60:{1,3,4,5,6,7}:{(51,1),(79,1),(115,1),(141,1)}
        61:{1,2,4,5}:{(44,1),(80,1),(81,1)}
        62:{1,2,3,5,6}:{(44,1),(74,1),(81,1),(82,1),(111,1),(119,1)}
        63:{2,3,4,5}:{(46,1),(80,1),(83,1)}
        64:{1,3,4,5,6}:{(45,1),(49,1),(84,1),(85,1),(87,1),(119,1),(136,1)}
        65:{2,3,4,5,7}:{(45,1),(50,1),(85,1),(86,1),(122,1),(139,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(83,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(84,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(61,1),(92,1),(93,1),(103,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{2,3,4,5,7}:{(57,1),(63,1),(92,1),(95,1),(105,1),(129,1)}
        76:{1,3,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,4,5,6}:{(58,1),(97,1),(99,1),(128,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(98,1),(99,1),(145,1)}
        79:{2,4,5,6,7}:{(60,1),(70,1),(96,1),(100,1),(130,1),(145,1)}
        80:{1,3,4,5}:{(61,1),(63,1),(101,1)}
        81:{1,2,4,6}:{(61,1),(62,1),(101,1),(103,1)}
        82:{1,2,3,5,7}:{(62,1),(94,1),(103,1),(127,1),(133,1)}
        83:{2,3,4,6}:{(63,1),(66,1),(101,1),(104,1),(105,1)}
        84:{2,4,5,6}:{(64,1),(104,1),(106,1)}
        85:{1,3,4,5,7}:{(64,1),(65,1),(69,1),(106,1),(107,1),(108,1),(133,1),(143,1)}
        86:{2,3,4,6,7}:{(65,1),(70,1),(96,1),(107,1),(135,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(104,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(105,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(106,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(130,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(80,1),(110,1),(120,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(82,1),(112,1),(142,1)}
        95:{2,3,4,6}:{(75,1),(76,1),(110,1),(113,1)}
        96:{2,3,5,6,7}:{(79,1),(86,1),(115,1)}
        97:{1,3,5,6}:{(76,1),(77,1),(113,1),(117,1)}
        98:{1,3,4,6,7}:{(76,1),(78,1),(88,1),(114,1),(117,1),(124,1)}
        99:{1,2,4,5,7}:{(77,1),(78,1),(117,1),(139,1)}
       100:{1,4,5,6,7}:{(79,1),(90,1),(115,1),(146,1)}
       101:{1,3,4,6}:{(80,1),(81,1),(83,1),(119,1),(120,1)}
       102:{1,2,4,5,6}:{(81,1),(84,1),(111,1),(119,1),(121,1),(136,1)}
       103:{1,2,4,7}:{(81,1),(82,1),(120,1)}
       104:{2,3,5,6}:{(83,1),(84,1),(87,1),(119,1),(122,1)}
       105:{2,3,4,7}:{(83,1),(88,1),(120,1),(122,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(85,1),(86,1),(90,1),(115,1),(123,1),(124,1),(142,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(122,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(123,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(95,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(103,1),(126,1),(127,1)}
       113:{2,3,5,6}:{(95,1),(97,1),(125,1),(128,1),(129,1)}
       114:{2,3,4,6,7}:{(95,1),(98,1),(105,1),(126,1),(129,1),(135,1),(145,1)}
       115:{1,3,5,6,7}:{(96,1),(100,1),(107,1),(130,1)}
       116:{1,3,4,5,6}:{(97,1),(128,1),(131,1)}
       117:{1,3,5,7}:{(97,1),(98,1),(99,1),(129,1)}
       118:{1,2,4,5,6,7}:{(99,1),(100,1),(109,1),(130,1),(132,1),(145,1)}
       119:{1,3,5,6}:{(101,1),(102,1),(104,1),(133,1)}
       120:{1,3,4,7}:{(101,1),(103,1),(105,1),(133,1)}
       121:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(127,1),(133,1),(134,1),(143,1)}
       122:{2,3,5,7}:{(104,1),(105,1),(106,1),(108,1),(133,1),(135,1)}
       123:{2,4,6,7}:{(106,1),(107,1),(130,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(135,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(113,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(120,1),(137,1),(142,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{2,4,5,6}:{(113,1),(116,1),(136,1),(139,1)}
       129:{2,3,5,7}:{(113,1),(114,1),(117,1),(137,1),(139,1)}
       130:{2,5,6,7}:{(115,1),(123,1)}
       131:{1,3,4,5,7}:{(116,1),(117,1),(139,1),(141,1)}
       132:{1,3,5,6,7}:{(117,1),(118,1),(124,1),(140,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(122,1),(142,1)}
       134:{1,2,4,6,7}:{(121,1),(123,1),(138,1),(142,1),(146,1)}
       135:{2,3,6,7}:{(122,1),(123,1),(124,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(128,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(129,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(130,1),(134,1),(144,1)}
       139:{2,4,5,7}:{(128,1),(129,1),(131,1),(143,1),(145,1)}
       140:{2,3,5,6,7}:{(129,1),(130,1),(132,1),(135,1),(144,1),(145,1)}
       141:{1,3,4,6,7}:{(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(135,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(139,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(142,1),(146,1)}
       145:{2,4,6,7}:{(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2753 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(14,1),(30,1),(73,1),(75,1),(79,1),(80,1),(83,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(41,1),(65,1),(67,1),(95,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(50,1),(73,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(13,1),(80,1),(84,1)}
         4:{1,2,4,5,6}:{(2,1),(8,1),(21,1),(39,1),(63,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(8,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(65,1),(68,1),(72,1)}
         7:{1,2,4,5,6,7}:{(4,1),(12,1),(29,1),(50,1),(73,1),(78,1)}
         8:{1,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(80,1)}
         9:{1,3,4,5,7}:{(5,1),(13,1),(15,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(14,1),(15,1),(16,1),(73,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(56,1),(60,1)}
        12:{1,3,5,6,7}:{(7,1),(8,1),(19,1),(20,1),(61,1),(91,1)}
        13:{1,3,4,6}:{(8,1),(9,1),(21,1)}
        14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(63,1),(68,1)}
        15:{2,4,5,7}:{(9,1),(10,1),(21,1),(24,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(65,1)}
        18:{1,3,4,5,6}:{(13,1),(27,1),(28,1),(51,1),(77,1)}
        19:{1,3,4,6,7}:{(12,1),(13,1),(27,1),(29,1)}
        20:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(30,1),(49,1),(73,1),(79,1)}
        21:{2,4,6}:{(13,1),(14,1),(15,1),(32,1)}
        22:{1,3,5,6}:{(14,1),(16,1),(32,1),(33,1),(56,1)}
        23:{2,3,4,5,7}:{(15,1),(31,1),(34,1),(49,1),(59,1),(97,1),(99,1)}
        24:{1,4,5,7}:{(15,1),(16,1),(32,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(33,1),(73,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(56,1),(79,1)}
        27:{1,3,4,5,7}:{(18,1),(19,1),(37,1),(61,1),(87,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(63,1),(89,1)}
        29:{2,4,6,7}:{(19,1),(20,1),(21,1),(37,1),(41,1)}
        30:{1,3,5,6,7}:{(20,1),(22,1),(41,1),(42,1),(61,1),(66,1)}
        31:{2,3,4,6}:{(21,1),(23,1),(38,1),(43,1),(68,1),(89,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,5,6}:{(22,1),(25,1),(44,1),(63,1)}
        34:{1,3,4,5,7}:{(23,1),(24,1),(43,1),(46,1),(47,1),(61,1),(71,1),(87,1),(90,1),(102,1),(103,1)}
        35:{1,2,4,5,7}:{(24,1),(25,1),(44,1),(46,1),(47,1),(48,1),(70,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(86,1)}
        37:{2,4,5,7}:{(27,1),(28,1),(29,1),(49,1),(50,1),(73,1),(97,1)}
        38:{2,3,5,6}:{(28,1),(31,1),(49,1),(51,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(98,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(53,1),(79,1),(97,1)}
        41:{1,4,6,7}:{(29,1),(30,1),(32,1),(50,1)}
        42:{1,2,5,6,7}:{(30,1),(33,1),(54,1),(73,1)}
        43:{1,3,4,6}:{(31,1),(32,1),(34,1),(51,1),(55,1),(56,1),(80,1),(98,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(56,1)}
        45:{1,2,3,5,6}:{(33,1),(36,1),(56,1),(57,1),(76,1),(82,1)}
        46:{2,4,5,7}:{(34,1),(55,1),(59,1),(73,1),(97,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(56,1),(59,1),(60,1),(82,1)}
        48:{1,2,4,7}:{(36,1),(57,1),(60,1),(97,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,4,5,7}:{(37,1),(39,1),(41,1),(61,1),(102,1)}
        51:{1,3,5,6}:{(38,1),(39,1),(43,1),(61,1),(63,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(70,1),(89,1)}
        53:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(65,1),(66,1),(87,1),(91,1),(102,1)}
        54:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(62,1),(65,1),(66,1)}
        55:{2,4,6}:{(43,1),(46,1),(63,1),(68,1)}
        56:{1,3,6}:{(44,1),(47,1),(68,1)}
        57:{1,2,4,6}:{(45,1),(48,1),(69,1),(70,1),(89,1)}
        58:{1,2,4,5,7}:{(46,1),(67,1),(71,1),(85,1),(95,1),(102,1),(103,1),(104,1)}
        59:{2,3,5,7}:{(46,1),(47,1),(68,1),(71,1),(72,1),(94,1)}
        60:{1,3,4,7}:{(47,1),(48,1),(69,1),(72,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(53,1),(73,1)}
        62:{1,2,4,5,7}:{(50,1),(52,1),(54,1),(73,1),(74,1),(97,1)}
        63:{2,5,6}:{(51,1),(55,1),(73,1)}
        64:{1,3,5,6}:{(52,1),(56,1),(74,1),(76,1),(77,1),(82,1)}
        65:{2,4,6,7}:{(53,1),(55,1),(73,1),(79,1),(97,1)}
        66:{1,3,6,7}:{(54,1),(56,1),(74,1),(79,1)}
        67:{1,2,4,6}:{(55,1),(58,1),(75,1),(80,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(59,1),(80,1)}
        69:{1,3,4,6}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,4,5}:{(57,1),(82,1),(99,1)}
        71:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(101,1)}
        72:{2,3,4,7}:{(59,1),(60,1),(81,1),(84,1),(97,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1)}
        74:{1,3,5,7}:{(62,1),(64,1),(66,1),(86,1),(87,1)}
        75:{1,2,5,6}:{(63,1),(67,1),(85,1),(88,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(68,1),(86,1),(88,1),(89,1),(94,1)}
        77:{1,3,4,6}:{(64,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(91,1),(102,1)}
        79:{2,3,6,7}:{(65,1),(66,1),(68,1),(86,1),(91,1)}
        80:{1,3,6}:{(67,1),(68,1),(71,1)}
        81:{2,3,4,6}:{(68,1),(69,1),(72,1),(89,1),(93,1),(94,1)}
        82:{1,3,5}:{(69,1),(70,1),(94,1)}
        83:{1,2,3,5,7}:{(71,1),(92,1),(95,1),(104,1)}
        84:{1,3,4,7}:{(71,1),(72,1),(93,1),(95,1),(102,1)}
        85:{1,2,5,7}:{(73,1),(75,1),(78,1),(96,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(76,1),(79,1),(96,1),(97,1)}
        87:{1,3,4,7}:{(74,1),(77,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(80,1),(96,1),(98,1),(101,1)}
        89:{2,4,6}:{(76,1),(77,1),(97,1),(98,1),(99,1)}
        90:{1,3,4,5}:{(77,1),(82,1),(99,1)}
        91:{1,3,6,7}:{(78,1),(79,1),(80,1),(96,1)}
        92:{1,2,3,6}:{(80,1),(83,1),(100,1)}
        93:{1,3,4,6}:{(80,1),(81,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5}:{(81,1),(82,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(83,1),(84,1),(100,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(88,1),(91,1),(102,1)}
        97:{2,4,7}:{(86,1),(87,1),(89,1),(102,1)}
        98:{1,4,6}:{(88,1),(89,1),(102,1),(103,1)}
        99:{2,4,5}:{(89,1),(90,1),(94,1),(103,1)}
       100:{1,2,4,6}:{(92,1),(93,1),(95,1),(104,1)}
       101:{1,3,5}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(98,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2754 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(119,1),(123,1),(124,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(135,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(124,1),(125,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(32,1),(103,1),(106,1),(110,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(42,1),(124,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(99,1),(100,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(106,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(86,1),(87,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(42,1),(65,1),(90,1),(92,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(42,1),(93,1),(99,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(31,1),(32,1),(106,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(31,1),(34,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(34,1),(35,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(54,1),(80,1),(86,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{1,3,4,6,7}:{(23,1),(24,1),(42,1)}
        32:{2,3,5,6,7}:{(23,1),(26,1),(42,1),(43,1),(90,1),(93,1)}
        33:{2,3,4,5,6}:{(25,1),(44,1),(45,1),(71,1),(139,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(26,1),(42,1),(46,1)}
        35:{1,4,5,6}:{(25,1),(27,1),(46,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(31,1),(52,1),(77,1),(105,1)}
        42:{2,4,6,7}:{(31,1),(32,1),(34,1),(54,1)}
        43:{1,3,5,6,7}:{(32,1),(36,1),(54,1),(55,1),(80,1)}
        44:{2,3,4,5,7}:{(33,1),(34,1),(53,1),(56,1),(84,1),(129,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(56,1),(57,1),(59,1),(83,1),(144,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(36,1),(54,1)}
        47:{1,2,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(59,1),(61,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(59,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(80,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(42,1),(64,1),(65,1),(90,1),(117,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(66,1),(93,1),(117,1)}
        54:{1,4,6,7}:{(42,1),(43,1),(46,1)}
        55:{1,2,5,6,7}:{(43,1),(48,1),(67,1),(90,1)}
        56:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(66,1),(70,1),(72,1),(97,1),(138,1)}
        57:{2,4,5,6}:{(45,1),(70,1),(71,1)}
        58:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(67,1),(70,1),(72,1),(74,1)}
        59:{1,3,5,6}:{(47,1),(71,1),(72,1),(73,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(72,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(94,1),(102,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(54,1),(77,1),(128,1)}
        66:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(79,1),(80,1),(106,1),(128,1)}
        67:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(79,1),(80,1)}
        68:{1,2,3,5,6,7}:{(55,1),(60,1),(80,1),(81,1),(89,1),(104,1),(108,1)}
        69:{1,2,4,5,6}:{(57,1),(82,1),(83,1),(111,1),(144,1),(145,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(79,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(59,1),(83,1),(84,1),(85,1)}
        72:{1,3,5,7}:{(58,1),(59,1),(80,1),(84,1),(86,1)}
        73:{1,3,4,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(86,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(87,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(108,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(66,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(67,1),(90,1),(91,1),(95,1),(117,1)}
        79:{2,4,6,7}:{(66,1),(70,1),(90,1),(93,1)}
        80:{1,3,6,7}:{(67,1),(72,1),(93,1)}
        81:{1,2,4,6,7}:{(68,1),(74,1),(94,1),(95,1),(102,1),(117,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(92,1),(97,1),(124,1),(138,1),(140,1)}
        83:{1,3,5,6}:{(69,1),(71,1),(97,1),(98,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(72,1),(93,1),(97,1),(99,1)}
        85:{2,3,4,6}:{(71,1),(73,1),(98,1),(99,1),(100,1)}
        86:{1,3,4,7}:{(72,1),(73,1),(74,1),(99,1)}
        87:{1,3,4,5}:{(73,1),(75,1),(100,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(102,1)}
        89:{1,2,3,5,6}:{(76,1),(102,1),(122,1)}
        90:{2,5,6,7}:{(77,1),(79,1)}
        91:{1,3,5,6,7}:{(78,1),(80,1),(104,1),(105,1),(108,1)}
        92:{1,2,4,6,7}:{(79,1),(82,1),(103,1),(106,1),(128,1)}
        93:{2,3,6,7}:{(79,1),(80,1),(84,1),(106,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(107,1),(108,1),(115,1)}
        95:{1,2,4,5,7}:{(81,1),(108,1),(109,1),(129,1)}
        96:{1,2,3,5,6}:{(83,1),(110,1),(111,1),(135,1),(145,1),(146,1)}
        97:{1,3,5,7}:{(82,1),(83,1),(84,1),(106,1),(112,1)}
        98:{1,3,4,6}:{(83,1),(85,1),(111,1),(112,1),(113,1)}
        99:{2,3,4,7}:{(84,1),(85,1),(86,1),(112,1)}
       100:{2,3,4,5}:{(85,1),(87,1),(113,1)}
       101:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(108,1),(114,1),(115,1)}
       102:{1,2,4,6}:{(88,1),(89,1),(115,1)}
       103:{1,2,5,6,7}:{(90,1),(92,1),(116,1),(140,1)}
       104:{2,3,5,6,7}:{(90,1),(91,1),(93,1),(116,1),(117,1),(121,1)}
       105:{1,3,4,6,7}:{(91,1),(117,1),(118,1)}
       106:{1,3,6,7}:{(92,1),(93,1),(97,1)}
       107:{2,3,4,6,7}:{(93,1),(94,1),(99,1),(117,1),(120,1),(121,1),(127,1)}
       108:{1,3,5,7}:{(94,1),(95,1),(121,1),(122,1)}
       109:{1,2,4,5,6}:{(95,1),(102,1),(122,1),(139,1)}
       110:{1,2,3,5,7}:{(96,1),(97,1),(119,1),(124,1),(140,1)}
       111:{1,2,4,6}:{(96,1),(98,1),(124,1),(125,1)}
       112:{1,3,4,7}:{(97,1),(98,1),(99,1),(124,1)}
       113:{1,3,4,5}:{(98,1),(100,1),(125,1)}
       114:{2,3,4,5,7}:{(99,1),(100,1),(101,1),(121,1),(126,1),(127,1)}
       115:{1,3,4,6}:{(101,1),(102,1),(122,1),(127,1)}
       116:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(128,1),(132,1)}
       117:{2,4,6,7}:{(104,1),(105,1),(128,1),(129,1)}
       118:{1,3,4,5,7}:{(105,1),(108,1),(129,1),(130,1)}
       119:{1,2,3,6,7}:{(106,1),(110,1),(131,1),(146,1)}
       120:{1,3,4,6,7}:{(106,1),(107,1),(112,1),(128,1),(131,1),(132,1),(137,1)}
       121:{2,3,5,7}:{(107,1),(108,1),(129,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(108,1),(109,1),(115,1),(133,1)}
       123:{1,2,3,4,6}:{(111,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,7}:{(110,1),(111,1),(112,1)}
       125:{1,2,4,5}:{(111,1),(113,1),(135,1)}
       126:{1,3,4,5,7}:{(112,1),(113,1),(114,1),(132,1),(136,1),(137,1)}
       127:{2,3,4,6}:{(114,1),(115,1),(133,1),(137,1)}
       128:{1,4,6,7}:{(116,1),(117,1),(138,1)}
       129:{2,4,5,7}:{(117,1),(118,1),(121,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(122,1),(139,1)}
       131:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(140,1),(143,1)}
       132:{1,3,5,7}:{(120,1),(121,1),(138,1),(140,1),(141,1)}
       133:{2,3,5,6}:{(121,1),(122,1),(127,1),(139,1),(141,1)}
       134:{1,2,3,4,7}:{(123,1),(124,1),(142,1)}
       135:{1,2,3,5}:{(123,1),(125,1)}
       136:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(140,1),(142,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(127,1),(141,1),(143,1)}
       138:{1,4,5,7}:{(128,1),(129,1),(132,1),(144,1)}
       139:{2,4,5,6}:{(129,1),(130,1),(133,1),(144,1)}
       140:{1,2,5,7}:{(131,1),(132,1),(145,1)}
       141:{1,3,5,6}:{(132,1),(133,1),(137,1),(144,1),(145,1)}
       142:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(146,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(145,1),(146,1)}
       144:{1,4,5,6}:{(138,1),(139,1),(141,1)}
       145:{1,2,5,6}:{(140,1),(141,1),(143,1)}
       146:{1,2,3,6}:{(142,1),(143,1)}

2755 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(126,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(137,1),(152,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(24,1),(28,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1),(44,1),(127,1),(147,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(40,1),(44,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(25,1),(26,1),(60,1),(114,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(23,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(24,1),(27,1),(28,1),(45,1),(59,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(28,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(29,1),(58,1),(152,1)}
        19:{1,2,3,4,7}:{(11,1),(32,1),(33,1),(103,1)}
        20:{1,2,3,5}:{(11,1),(31,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(31,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(38,1),(39,1),(76,1),(101,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(37,1),(39,1)}
        24:{1,3,5,6}:{(14,1),(15,1),(37,1),(40,1)}
        25:{1,3,4,6}:{(13,1),(16,1),(38,1),(41,1)}
        26:{1,3,4,7}:{(14,1),(17,1),(39,1),(40,1)}
        27:{1,2,4,5,7}:{(15,1),(17,1),(40,1),(43,1),(44,1),(63,1),(78,1)}
        28:{1,2,5,6}:{(16,1),(41,1),(44,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(42,1),(44,1),(147,1),(153,1)}
        30:{1,3,4,5,6}:{(24,1),(45,1),(46,1),(59,1),(92,1)}
        31:{1,2,4,5}:{(20,1),(21,1),(48,1)}
        32:{1,2,3,4,6}:{(19,1),(49,1),(50,1),(86,1)}
        33:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(49,1),(50,1),(51,1)}
        34:{1,2,3,6}:{(20,1),(48,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(47,1),(53,1),(54,1),(85,1),(90,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(48,1),(52,1),(54,1)}
        37:{2,3,5,6}:{(23,1),(24,1),(45,1),(52,1),(55,1)}
        38:{2,3,4,6}:{(22,1),(25,1),(53,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(55,1)}
        40:{1,3,5,7}:{(24,1),(26,1),(27,1),(55,1),(58,1)}
        41:{1,3,5,6}:{(25,1),(28,1),(56,1),(59,1),(60,1)}
        42:{1,3,4,6,7}:{(25,1),(26,1),(29,1),(57,1),(58,1),(60,1),(94,1),(139,1),(150,1)}
        43:{1,2,4,6,7}:{(27,1),(58,1),(61,1),(80,1),(94,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(60,1)}
        45:{2,4,5,6}:{(30,1),(37,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(40,1),(63,1),(64,1),(78,1),(108,1)}
        47:{1,2,4,5,7}:{(31,1),(33,1),(35,1),(66,1),(67,1),(68,1),(100,1),(103,1)}
        48:{1,2,4,6}:{(31,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,2,3,5}:{(32,1),(68,1)}
        50:{1,2,3,6}:{(33,1),(66,1)}
        51:{1,2,3,7}:{(34,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(62,1),(65,1),(71,1)}
        53:{1,3,4,6}:{(35,1),(38,1),(66,1),(72,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(67,1),(71,1)}
        55:{2,3,5,7}:{(37,1),(39,1),(40,1),(63,1),(71,1),(74,1)}
        56:{2,3,5,6}:{(38,1),(41,1),(72,1),(75,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(74,1),(76,1),(107,1),(129,1),(143,1)}
        58:{1,3,6,7}:{(40,1),(43,1),(74,1)}
        59:{1,4,5,6}:{(41,1),(75,1),(78,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(77,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(52,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(55,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(58,1),(80,1),(81,1),(94,1),(120,1)}
        65:{1,2,5,6}:{(48,1),(52,1),(82,1)}
        66:{1,2,4,6}:{(47,1),(50,1),(53,1),(83,1)}
        67:{1,2,4,7}:{(48,1),(51,1),(54,1),(82,1)}
        68:{1,2,4,5}:{(49,1),(85,1),(86,1)}
        69:{1,2,3,5,6}:{(49,1),(50,1),(83,1),(86,1),(87,1),(112,1)}
        70:{1,2,3,6,7}:{(50,1),(51,1),(84,1),(87,1),(134,1)}
        71:{1,3,5,7}:{(52,1),(54,1),(55,1),(79,1),(82,1),(88,1)}
        72:{1,3,5,6}:{(53,1),(56,1),(83,1),(89,1),(90,1)}
        73:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(84,1),(88,1),(90,1),(116,1),(117,1),(134,1)}
        74:{2,3,6,7}:{(55,1),(58,1),(80,1),(88,1)}
        75:{2,4,5,6}:{(56,1),(59,1),(89,1),(92,1),(93,1)}
        76:{2,3,5,7}:{(56,1),(57,1),(60,1),(90,1),(93,1)}
        77:{1,3,5,6,7}:{(58,1),(60,1),(61,1),(91,1),(94,1),(149,1),(150,1)}
        78:{1,4,5,7}:{(59,1),(60,1),(93,1),(94,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(71,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(74,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(122,1)}
        82:{1,2,5,7}:{(65,1),(67,1),(71,1),(98,1)}
        83:{1,2,5,6}:{(66,1),(72,1),(100,1)}
        84:{1,2,4,6,7}:{(66,1),(67,1),(70,1),(73,1),(98,1),(100,1),(103,1)}
        85:{1,3,4,5}:{(68,1),(101,1),(102,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(102,1),(103,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(100,1),(103,1),(125,1)}
        88:{1,3,6,7}:{(71,1),(74,1),(95,1),(98,1)}
        89:{1,4,5,6}:{(72,1),(75,1),(106,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(76,1),(100,1),(106,1)}
        91:{2,3,5,6,7}:{(74,1),(76,1),(77,1),(96,1),(104,1),(107,1),(122,1),(142,1),(143,1)}
        92:{3,4,5,6}:{(75,1),(108,1)}
        93:{2,4,5,7}:{(75,1),(76,1),(78,1),(106,1),(107,1),(108,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(107,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(88,1),(109,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(109,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(110,1),(149,1)}
        98:{1,2,6,7}:{(82,1),(88,1)}
        99:{1,2,4,5,6}:{(83,1),(86,1),(89,1),(112,1),(113,1),(118,1)}
       100:{1,2,5,7}:{(83,1),(84,1),(90,1)}
       101:{2,3,4,5}:{(85,1),(114,1),(115,1)}
       102:{1,3,4,6}:{(85,1),(86,1),(112,1),(115,1),(116,1)}
       103:{1,2,4,7}:{(86,1),(87,1),(116,1)}
       104:{1,3,5,6,7}:{(88,1),(90,1),(91,1),(109,1),(111,1),(117,1),(134,1)}
       105:{1,3,4,5,6}:{(89,1),(92,1),(112,1),(118,1),(119,1)}
       106:{1,4,5,7}:{(89,1),(90,1),(93,1),(117,1)}
       107:{2,4,6,7}:{(91,1),(93,1),(94,1),(117,1),(120,1)}
       108:{3,4,5,7}:{(92,1),(93,1),(120,1)}
       109:{1,5,6,7}:{(95,1),(96,1)}
       110:{2,4,5,6,7}:{(96,1),(97,1),(107,1),(121,1),(122,1),(142,1)}
       111:{1,2,5,6,7}:{(98,1),(100,1),(104,1),(123,1),(142,1)}
       112:{1,3,5,6}:{(99,1),(102,1),(124,1),(125,1)}
       113:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(106,1),(123,1),(125,1),(132,1)}
       114:{1,3,4,5}:{(101,1),(127,1),(128,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(124,1),(128,1),(129,1)}
       116:{1,3,4,7}:{(102,1),(103,1),(125,1),(129,1)}
       117:{1,4,6,7}:{(104,1),(106,1),(107,1)}
       118:{2,4,5,6}:{(105,1),(124,1),(131,1),(132,1)}
       119:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(125,1),(130,1),(132,1)}
       120:{3,4,6,7}:{(107,1),(108,1),(122,1)}
       121:{1,4,5,6,7}:{(109,1),(110,1),(117,1),(133,1)}
       122:{3,5,6,7}:{(110,1),(120,1)}
       123:{1,2,4,6,7}:{(111,1),(113,1),(117,1),(134,1),(140,1)}
       124:{2,3,5,6}:{(112,1),(115,1),(118,1),(135,1),(136,1)}
       125:{1,3,5,7}:{(112,1),(113,1),(116,1),(134,1),(136,1)}
       126:{1,2,3,4}:{(137,1)}
       127:{1,2,4,5}:{(114,1),(137,1),(138,1)}
       128:{1,3,4,6}:{(114,1),(115,1),(135,1),(138,1),(139,1)}
       129:{2,3,4,7}:{(115,1),(116,1),(136,1),(139,1)}
       130:{1,3,4,6,7}:{(117,1),(119,1),(120,1),(133,1),(134,1),(140,1)}
       131:{1,4,5,6}:{(118,1),(135,1),(141,1)}
       132:{2,4,5,7}:{(118,1),(119,1),(136,1),(140,1),(141,1)}
       133:{1,3,5,6,7}:{(121,1),(122,1),(130,1),(142,1)}
       134:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       135:{1,3,5,6}:{(124,1),(128,1),(131,1),(144,1),(145,1)}
       136:{2,3,5,7}:{(124,1),(125,1),(129,1),(132,1),(143,1),(145,1)}
       137:{1,2,3,5}:{(126,1),(127,1),(146,1)}
       138:{1,2,4,6}:{(127,1),(128,1),(144,1),(146,1),(147,1)}
       139:{1,3,4,7}:{(128,1),(129,1),(145,1),(147,1)}
       140:{2,4,6,7}:{(130,1),(132,1),(142,1),(143,1),(148,1)}
       141:{1,4,5,7}:{(131,1),(132,1),(145,1),(148,1)}
       142:{2,5,6,7}:{(133,1),(140,1),(149,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(140,1),(150,1)}
       144:{1,2,5,6}:{(135,1),(138,1),(151,1)}
       145:{1,3,5,7}:{(135,1),(136,1),(139,1),(141,1),(150,1),(151,1)}
       146:{1,2,3,6}:{(137,1),(138,1),(152,1)}
       147:{1,2,4,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(140,1),(141,1),(149,1),(150,1)}
       149:{1,5,6,7}:{(142,1),(148,1)}
       150:{1,3,6,7}:{(143,1),(145,1),(148,1),(153,1)}
       151:{1,2,5,7}:{(144,1),(145,1),(147,1),(153,1)}
       152:{1,2,3,7}:{(146,1),(147,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2756 :   0:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(23,1),(38,1)}
         2:{1,2,4,7}:{(0,1),(4,1),(5,1),(103,1)}
         3:{1,2,3,7}:{(7,1),(8,1),(92,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(54,1),(88,1)}
         5:{1,3,4,7}:{(2,1),(9,1),(10,1),(12,1),(69,1),(113,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(13,1),(31,1),(33,1),(35,1),(69,1)}
         7:{1,2,3,6}:{(3,1),(14,1),(15,1),(75,1)}
         8:{1,2,4,7}:{(3,1),(15,1),(16,1),(17,1)}
         9:{2,3,4,7}:{(5,1),(16,1),(18,1),(19,1),(83,1),(105,1)}
        10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(50,1),(71,1),(102,1)}
        11:{1,2,5}:{(4,1),(20,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(21,1),(23,1),(48,1),(50,1)}
        14:{1,2,3,5}:{(7,1),(25,1),(27,1),(56,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(29,1)}
        16:{1,3,4,7}:{(8,1),(9,1),(26,1),(28,1),(92,1),(94,1)}
        17:{1,2,5,7}:{(8,1),(27,1),(28,1),(29,1)}
        18:{2,3,4,6}:{(9,1),(10,1),(26,1),(30,1),(32,1),(55,1),(64,1),(90,1)}
        19:{2,3,5,7}:{(9,1),(12,1),(28,1),(30,1),(31,1),(32,1)}
        20:{1,3,5}:{(10,1),(11,1),(30,1),(33,1)}
        21:{1,2,5,6}:{(11,1),(13,1),(34,1),(35,1),(66,1),(88,1)}
        22:{1,3,4,5,7}:{(12,1),(31,1),(33,1),(36,1),(63,1),(69,1),(70,1),(97,1)}
        23:{1,3,6}:{(12,1),(13,1),(32,1)}
        24:{1,2,4,6,7}:{(13,1),(35,1),(37,1),(67,1),(69,1)}
        25:{1,2,4}:{(14,1),(39,1)}
        26:{1,3,4,6}:{(15,1),(16,1),(18,1),(39,1),(41,1),(44,1),(75,1),(77,1)}
        27:{1,2,5}:{(15,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(19,1),(41,1),(43,1),(44,1)}
        29:{1,2,6}:{(17,1),(44,1)}
        30:{2,3,5}:{(18,1),(20,1),(41,1),(46,1)}
        31:{2,4,5,7}:{(19,1),(22,1),(43,1),(46,1),(48,1),(83,1),(84,1)}
        32:{2,3,6}:{(19,1),(23,1),(44,1),(48,1)}
        33:{1,4,5}:{(20,1),(46,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(21,1),(23,1),(47,1),(50,1),(51,1),(102,1),(119,1)}
        35:{1,2,5,7}:{(21,1),(24,1),(51,1),(84,1),(103,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(48,1),(50,1),(52,1),(81,1)}
        37:{1,3,6,7}:{(23,1),(24,1),(49,1),(51,1),(125,1)}
        38:{1,2,3}:{(54,1)}
        39:{1,3,4}:{(25,1),(55,1),(56,1)}
        40:{1,2,4,5}:{(25,1),(27,1),(56,1),(57,1),(58,1),(89,1)}
        41:{1,3,5}:{(26,1),(27,1),(30,1),(58,1)}
        42:{1,2,5,6}:{(27,1),(29,1),(57,1),(59,1),(60,1),(114,1)}
        43:{1,4,5,7}:{(28,1),(31,1),(58,1),(61,1),(94,1),(95,1)}
        44:{1,3,6}:{(28,1),(29,1),(32,1),(61,1)}
        45:{1,2,6,7}:{(29,1),(60,1),(62,1),(124,1)}
        46:{2,4,5}:{(30,1),(33,1),(58,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(30,1),(32,1),(34,1),(59,1),(64,1),(65,1),(66,1),(90,1),(96,1),(114,1)}
        48:{2,4,6}:{(31,1),(32,1),(36,1),(61,1),(66,1)}
        49:{2,3,6,7}:{(32,1),(37,1),(62,1),(65,1),(67,1),(118,1),(124,1)}
        50:{1,4,6}:{(33,1),(34,1),(64,1),(69,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(37,1),(65,1),(69,1),(113,1),(123,1)}
        52:{1,3,5,6}:{(36,1),(66,1),(68,1),(70,1),(96,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(67,1),(69,1),(70,1),(97,1),(100,1),(118,1)}
        54:{1,2,4}:{(38,1),(71,1),(72,1)}
        55:{2,3,4}:{(39,1),(71,1),(73,1)}
        56:{1,3,5}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,2,4,6}:{(40,1),(42,1),(75,1),(76,1),(77,1),(104,1)}
        58:{1,4,5}:{(41,1),(46,1),(77,1)}
        59:{1,3,5,6}:{(41,1),(42,1),(44,1),(47,1),(75,1),(77,1),(78,1),(79,1)}
        60:{1,2,5,7}:{(42,1),(45,1),(76,1),(78,1),(121,1)}
        61:{1,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1),(78,1),(80,1)}
        63:{3,4,5}:{(46,1),(81,1)}
        64:{2,4,6}:{(46,1),(47,1),(50,1),(77,1),(81,1),(83,1)}
        65:{2,3,5,7}:{(47,1),(49,1),(51,1),(78,1),(83,1),(84,1),(105,1),(110,1),(121,1)}
        66:{2,5,6}:{(48,1),(52,1),(79,1),(84,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(53,1),(80,1),(83,1),(84,1)}
        68:{1,4,5,6}:{(50,1),(52,1),(82,1),(85,1),(119,1)}
        69:{1,4,7}:{(50,1),(51,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(84,1),(85,1),(110,1)}
        71:{1,3,4}:{(54,1),(55,1),(87,1)}
        72:{1,2,5}:{(54,1),(87,1),(88,1)}
        73:{2,3,5}:{(55,1),(56,1),(87,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(56,1),(58,1),(63,1),(89,1),(91,1)}
        75:{1,3,6}:{(56,1),(57,1),(90,1),(92,1)}
        76:{1,2,4,7}:{(57,1),(60,1),(92,1),(94,1),(115,1)}
        77:{1,4,6}:{(58,1),(59,1),(64,1),(94,1)}
        78:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(92,1),(94,1),(95,1)}
        79:{1,5,6}:{(61,1),(66,1),(95,1)}
        80:{1,4,6,7}:{(61,1),(62,1),(67,1),(94,1),(95,1)}
        81:{3,4,6}:{(63,1),(64,1),(96,1),(97,1)}
        82:{2,4,5,6}:{(64,1),(66,1),(68,1),(93,1),(96,1),(98,1),(114,1)}
        83:{2,4,7}:{(64,1),(65,1),(69,1),(94,1),(97,1)}
        84:{2,5,7}:{(66,1),(67,1),(70,1),(95,1)}
        85:{1,4,5,7}:{(68,1),(69,1),(70,1),(98,1),(100,1),(123,1)}
        86:{1,3,5,6,7}:{(70,1),(99,1),(100,1),(118,1)}
        87:{1,3,5}:{(71,1),(72,1),(73,1),(101,1),(102,1)}
        88:{1,2,6}:{(72,1),(102,1),(103,1)}
        89:{2,4,5}:{(73,1),(74,1),(101,1),(104,1)}
        90:{2,3,6}:{(73,1),(75,1),(102,1),(104,1),(105,1)}
        91:{1,3,4,6}:{(74,1),(75,1),(77,1),(81,1),(104,1),(106,1),(107,1)}
        92:{1,3,7}:{(75,1),(76,1),(105,1)}
        93:{1,4,5,6}:{(77,1),(79,1),(82,1),(106,1),(108,1)}
        94:{1,4,7}:{(77,1),(78,1),(83,1)}
        95:{1,5,7}:{(79,1),(80,1),(84,1)}
        96:{3,5,6}:{(81,1),(82,1),(110,1)}
        97:{3,4,7}:{(81,1),(83,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(85,1),(108,1),(110,1),(111,1),(121,1)}
        99:{2,5,6,7}:{(84,1),(86,1),(109,1),(111,1)}
       100:{1,4,6,7}:{(85,1),(86,1),(111,1),(125,1)}
       101:{1,4,5}:{(87,1),(89,1),(112,1)}
       102:{1,3,6}:{(87,1),(88,1),(90,1),(112,1),(113,1)}
       103:{1,2,7}:{(88,1),(113,1)}
       104:{2,4,6}:{(89,1),(90,1),(91,1),(112,1),(114,1),(115,1)}
       105:{2,3,7}:{(90,1),(92,1),(113,1),(115,1)}
       106:{1,3,5,6}:{(91,1),(93,1),(96,1),(114,1),(116,1)}
       107:{1,3,4,7}:{(91,1),(92,1),(94,1),(97,1),(115,1),(116,1)}
       108:{1,4,5,7}:{(93,1),(94,1),(95,1),(98,1),(116,1),(117,1)}
       109:{1,5,6,7}:{(95,1),(99,1),(117,1)}
       110:{3,5,7}:{(96,1),(97,1),(98,1),(118,1)}
       111:{2,4,6,7}:{(98,1),(99,1),(100,1),(117,1),(118,1),(124,1)}
       112:{1,4,6}:{(101,1),(102,1),(104,1),(119,1),(120,1)}
       113:{1,3,7}:{(102,1),(103,1),(105,1),(120,1)}
       114:{2,5,6}:{(104,1),(106,1),(119,1),(121,1)}
       115:{2,4,7}:{(104,1),(105,1),(107,1),(120,1),(121,1)}
       116:{1,3,5,7}:{(106,1),(107,1),(108,1),(110,1),(121,1),(122,1)}
       117:{1,4,6,7}:{(108,1),(109,1),(111,1),(122,1)}
       118:{3,6,7}:{(110,1),(111,1)}
       119:{1,5,6}:{(112,1),(114,1),(123,1)}
       120:{1,4,7}:{(112,1),(113,1),(115,1),(123,1)}
       121:{2,5,7}:{(114,1),(115,1),(116,1),(123,1),(124,1)}
       122:{1,3,6,7}:{(116,1),(117,1),(118,1),(124,1)}
       123:{1,5,7}:{(119,1),(120,1),(121,1),(125,1)}
       124:{2,6,7}:{(121,1),(122,1),(125,1)}
       125:{1,6,7}:{(123,1),(124,1)}

2757 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2758 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(13,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(22,1),(142,1)}
         3:{1,2,3,4}:{(7,1)}
         4:{1,2,4,5}:{(1,1),(9,1),(10,1)}
         5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(33,1),(38,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1),(130,1),(149,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1)}
         8:{1,2,3,4,7}:{(3,1),(16,1),(17,1),(81,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(19,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(19,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(20,1),(22,1),(23,1),(55,1),(116,1),(140,1)}
        12:{1,2,3,5,7}:{(5,1),(22,1),(24,1),(51,1),(55,1)}
        13:{1,2,3,6}:{(6,1),(23,1)}
        14:{1,2,4,5}:{(7,1),(25,1),(26,1)}
        15:{1,2,3,6}:{(7,1),(26,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,4,6}:{(8,1),(29,1),(30,1),(63,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(31,1)}
        19:{1,3,4,6}:{(9,1),(10,1),(31,1),(33,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(11,1),(32,1),(34,1),(35,1),(71,1),(100,1),(128,1)}
        21:{1,2,4,5,6}:{(10,1),(33,1),(36,1),(38,1),(65,1),(72,1)}
        22:{1,2,4,7}:{(10,1),(12,1),(34,1)}
        23:{1,2,4,6}:{(11,1),(13,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(37,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(39,1)}
        26:{1,2,4,6}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
        27:{1,2,4,5,7}:{(14,1),(16,1),(40,1),(42,1),(43,1),(46,1),(79,1),(81,1)}
        28:{1,2,3,7}:{(15,1),(42,1)}
        29:{1,2,3,6}:{(16,1),(43,1)}
        30:{1,2,3,5}:{(17,1),(46,1)}
        31:{2,3,4,6}:{(18,1),(19,1),(39,1),(47,1),(48,1)}
        32:{2,3,4,5,7}:{(18,1),(20,1),(40,1),(48,1),(49,1),(83,1),(86,1),(114,1)}
        33:{1,3,5,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,7}:{(19,1),(22,1),(48,1),(51,1)}
        35:{1,3,4,6}:{(20,1),(23,1),(49,1),(53,1)}
        36:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(52,1),(55,1),(140,1),(152,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,3,4,6}:{(25,1),(26,1),(31,1),(56,1),(57,1)}
        40:{1,3,4,5,7}:{(25,1),(27,1),(32,1),(57,1),(58,1),(64,1),(93,1),(98,1)}
        41:{1,2,5,6}:{(26,1),(56,1),(59,1)}
        42:{1,2,4,7}:{(26,1),(28,1),(57,1),(59,1)}
        43:{1,2,4,6}:{(27,1),(29,1),(58,1),(61,1)}
        44:{1,2,3,6,7}:{(28,1),(29,1),(60,1),(62,1),(125,1)}
        45:{1,2,3,5,6}:{(29,1),(30,1),(61,1),(62,1),(63,1),(97,1)}
        46:{1,2,4,5}:{(30,1),(63,1),(64,1)}
        47:{2,3,5,6}:{(31,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,7}:{(31,1),(34,1),(57,1),(66,1)}
        49:{2,3,4,6}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(72,1),(104,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(36,1),(66,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(35,1),(37,1),(67,1),(70,1),(71,1),(106,1),(128,1),(147,1)}
        53:{1,3,5,6}:{(35,1),(38,1),(68,1),(71,1),(72,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(71,1)}
        56:{1,3,5,6}:{(39,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,7}:{(39,1),(42,1),(48,1),(75,1)}
        58:{1,3,4,6}:{(40,1),(43,1),(49,1),(77,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(75,1),(78,1)}
        60:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(76,1),(78,1),(79,1),(81,1)}
        61:{1,2,5,6}:{(43,1),(77,1),(79,1)}
        62:{1,2,3,5,7}:{(44,1),(45,1),(79,1),(81,1),(112,1)}
        63:{1,2,4,6}:{(45,1),(46,1),(81,1),(82,1)}
        64:{1,3,4,5}:{(46,1),(82,1),(83,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(76,1),(85,1),(86,1),(114,1),(118,1),(137,1)}
        68:{2,3,5,6}:{(49,1),(53,1),(77,1),(86,1),(87,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(119,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(55,1),(86,1),(90,1)}
        72:{1,4,5,6}:{(53,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(117,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(57,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(67,1),(92,1),(93,1),(98,1),(122,1),(125,1)}
        77:{1,3,5,6}:{(58,1),(61,1),(68,1),(93,1),(94,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,5,7}:{(60,1),(61,1),(93,1)}
        80:{1,2,4,5,6}:{(61,1),(63,1),(94,1),(96,1),(97,1),(124,1)}
        81:{1,2,4,7}:{(62,1),(63,1),(98,1)}
        82:{1,3,4,6}:{(63,1),(64,1),(97,1),(98,1),(99,1)}
        83:{2,3,4,5}:{(64,1),(99,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,3,5,7}:{(67,1),(68,1),(71,1),(93,1),(103,1)}
        87:{2,4,5,6}:{(68,1),(72,1),(94,1),(103,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(132,1)}
        89:{1,3,5,6,7}:{(70,1),(71,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,3,5,7}:{(76,1),(77,1),(79,1),(86,1),(109,1)}
        94:{1,4,5,6}:{(77,1),(87,1),(109,1)}
        95:{1,2,5,6,7}:{(78,1),(79,1),(108,1),(111,1),(150,1)}
        96:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(109,1),(111,1),(112,1),(135,1)}
        97:{1,3,5,6}:{(80,1),(82,1),(112,1),(113,1)}
        98:{1,3,4,7}:{(81,1),(82,1),(112,1),(114,1)}
        99:{2,3,4,6}:{(82,1),(83,1),(113,1),(114,1),(115,1)}
       100:{1,3,4,5}:{(83,1),(115,1),(116,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(117,1)}
       102:{2,3,5,6,7}:{(85,1),(86,1),(89,1),(108,1),(117,1),(118,1),(137,1),(143,1),(150,1)}
       103:{2,4,5,7}:{(86,1),(87,1),(90,1),(109,1),(118,1),(119,1)}
       104:{3,4,5,6}:{(87,1),(119,1)}
       105:{1,3,5,6,7}:{(88,1),(117,1),(120,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(118,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(121,1)}
       108:{1,3,5,6,7}:{(92,1),(93,1),(95,1),(102,1),(121,1),(122,1),(125,1)}
       109:{1,4,5,7}:{(93,1),(94,1),(103,1),(122,1)}
       110:{1,3,4,5,6}:{(94,1),(97,1),(104,1),(123,1),(124,1)}
       111:{1,2,4,6,7}:{(95,1),(96,1),(122,1),(125,1),(145,1)}
       112:{1,3,5,7}:{(96,1),(97,1),(98,1),(125,1),(126,1)}
       113:{2,3,5,6}:{(97,1),(99,1),(124,1),(126,1),(127,1)}
       114:{2,3,4,7}:{(98,1),(99,1),(126,1),(128,1)}
       115:{1,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       116:{1,2,4,5}:{(100,1),(129,1),(130,1)}
       117:{2,5,6,7}:{(101,1),(105,1),(121,1)}
       118:{2,4,6,7}:{(102,1),(103,1),(106,1),(122,1),(132,1)}
       119:{3,4,5,7}:{(103,1),(104,1),(132,1)}
       120:{1,4,5,6,7}:{(105,1),(106,1),(131,1),(153,1)}
       121:{1,5,6,7}:{(107,1),(117,1)}
       122:{1,4,6,7}:{(108,1),(109,1),(118,1)}
       123:{1,3,4,5,7}:{(109,1),(110,1),(112,1),(119,1),(134,1),(135,1)}
       124:{2,4,5,6}:{(110,1),(113,1),(135,1),(136,1)}
       125:{1,3,6,7}:{(111,1),(112,1),(137,1)}
       126:{2,3,5,7}:{(112,1),(113,1),(114,1),(135,1),(137,1),(138,1)}
       127:{1,3,5,6}:{(113,1),(115,1),(136,1),(138,1),(139,1)}
       128:{1,3,4,7}:{(114,1),(115,1),(138,1),(140,1)}
       129:{1,2,4,6}:{(115,1),(116,1),(139,1),(140,1),(141,1)}
       130:{1,2,3,5}:{(116,1),(141,1),(142,1)}
       131:{2,4,5,6,7}:{(117,1),(118,1),(120,1),(133,1),(143,1),(150,1)}
       132:{3,4,6,7}:{(118,1),(119,1),(143,1)}
       133:{1,4,5,6,7}:{(121,1),(122,1),(131,1),(144,1)}
       134:{1,3,4,6,7}:{(122,1),(123,1),(125,1),(132,1),(144,1),(145,1)}
       135:{2,4,5,7}:{(123,1),(124,1),(126,1),(145,1),(146,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,3,6,7}:{(125,1),(126,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(126,1),(127,1),(128,1),(146,1),(147,1),(148,1)}
       139:{1,2,5,6}:{(127,1),(129,1),(148,1)}
       140:{1,2,4,7}:{(128,1),(129,1),(148,1),(149,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,3,4}:{(130,1)}
       143:{3,5,6,7}:{(131,1),(132,1)}
       144:{1,3,5,6,7}:{(133,1),(134,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(134,1),(135,1),(137,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(135,1),(136,1),(138,1),(151,1)}
       147:{1,3,6,7}:{(137,1),(138,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,2,3,7}:{(140,1),(141,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2759 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2760 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2761 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2762 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2763 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2764 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2765 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2766 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2767 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2768 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2769 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{1,2,3,5,6,7}:{(7,1),(21,1),(41,1),(51,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         3:{2,3,4,5,6}:{(6,1),(8,1),(52,1),(54,1),(80,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(3,1),(9,1),(12,1),(60,1),(62,1)}
         7:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(59,1),(67,1),(94,1),(100,1),(128,1)}
         8:{1,3,4,5,6}:{(3,1),(12,1),(15,1),(36,1),(72,1),(99,1),(103,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(84,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(22,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(8,1),(16,1),(19,1),(44,1),(79,1)}
        13:{1,3,4,6,7}:{(7,1),(20,1),(21,1),(48,1),(115,1),(135,1)}
        14:{1,2,4,5,7}:{(7,1),(21,1),(22,1),(47,1),(79,1),(111,1)}
        15:{2,4,5,6}:{(8,1),(19,1),(24,1),(91,1),(118,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(103,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(35,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(15,1),(25,1),(30,1)}
        20:{2,3,4,6,7}:{(13,1),(33,1),(34,1),(67,1),(94,1),(101,1),(129,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        22:{1,2,4,5,6}:{(14,1),(35,1),(67,1),(99,1),(124,1),(128,1)}
        23:{1,2,4,5,6}:{(15,1),(29,1),(36,1),(71,1),(74,1),(99,1),(105,1),(107,1),(124,1),(128,1)}
        24:{2,3,5,6}:{(15,1),(30,1),(36,1),(37,1),(108,1),(129,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(118,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(88,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(51,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(48,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(23,1),(39,1),(44,1),(79,1),(82,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(21,1),(47,1),(48,1)}
        32:{1,2,3,6,7}:{(46,1),(49,1),(75,1),(119,1)}
        33:{1,3,4,6,7}:{(20,1),(49,1),(50,1),(85,1),(87,1),(119,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(47,1),(50,1),(51,1),(111,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(48,1),(51,1),(135,1)}
        36:{1,3,5,6}:{(23,1),(24,1),(44,1),(52,1),(53,1),(92,1),(119,1),(120,1),(135,1)}
        37:{2,3,4,6}:{(24,1),(45,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(46,1),(52,1),(55,1),(88,1),(92,1),(119,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(105,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(69,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(67,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(36,1),(56,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(30,1),(37,1),(63,1)}
        46:{1,2,3,5,7}:{(32,1),(38,1),(62,1),(65,1),(68,1),(104,1)}
        47:{2,4,5,7}:{(31,1),(34,1),(66,1),(67,1)}
        48:{1,3,4,6}:{(31,1),(35,1),(67,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(65,1),(68,1),(94,1),(105,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(66,1),(68,1),(69,1)}
        51:{2,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(124,1),(129,1)}
        52:{2,3,5,6}:{(36,1),(62,1),(71,1),(108,1),(124,1),(129,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(63,1),(71,1),(72,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(108,1)}
        55:{1,2,4,6}:{(38,1),(65,1),(71,1),(73,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(119,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(84,1)}
        58:{1,2,3,5,6,7}:{(41,1),(46,1),(75,1),(78,1),(88,1),(111,1),(113,1),(119,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(87,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(48,1),(80,1),(112,1),(134,1)}
        62:{2,3,5,7}:{(44,1),(52,1),(75,1),(82,1),(111,1)}
        63:{1,3,4,7}:{(44,1),(45,1),(53,1),(82,1)}
        64:{2,3,4,5,7}:{(45,1),(47,1),(54,1),(77,1),(83,1),(84,1),(117,1),(132,1)}
        65:{1,2,4,7}:{(46,1),(55,1),(82,1),(85,1)}
        66:{1,4,5,7}:{(47,1),(50,1),(87,1)}
        67:{2,4,6}:{(47,1),(48,1),(51,1),(87,1)}
        68:{1,2,5,7}:{(49,1),(50,1),(88,1),(111,1)}
        69:{1,3,5,6}:{(50,1),(51,1),(87,1),(88,1),(119,1)}
        70:{1,2,3,5,6}:{(52,1),(81,1),(89,1),(120,1),(131,1),(135,1)}
        71:{2,4,6}:{(52,1),(53,1),(82,1),(91,1)}
        72:{1,3,4,5}:{(53,1),(54,1),(91,1),(92,1),(120,1)}
        73:{1,3,4,6}:{(55,1),(85,1),(90,1),(92,1),(119,1)}
        74:{1,2,4,5}:{(55,1),(91,1),(92,1)}
        75:{2,3,6,7}:{(56,1),(62,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(94,1),(95,1),(103,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(65,1),(94,1),(97,1),(98,1),(105,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(67,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(70,1),(93,1),(100,1),(122,1),(127,1)}
        82:{2,4,7}:{(62,1),(63,1),(71,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(72,1),(95,1),(102,1),(103,1),(104,1),(127,1),(136,1)}
        84:{2,3,4,6}:{(64,1),(67,1),(96,1),(103,1),(129,1),(138,1)}
        85:{1,3,4,7}:{(65,1),(73,1),(101,1),(104,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(102,1),(104,1),(105,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(68,1),(69,1),(105,1),(124,1)}
        89:{1,2,4,6}:{(70,1),(71,1),(100,1),(106,1),(107,1)}
        90:{2,3,4,6}:{(71,1),(73,1),(101,1),(106,1),(108,1),(129,1)}
        91:{2,4,5}:{(71,1),(72,1),(108,1)}
        92:{1,3,5}:{(73,1),(74,1),(108,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(82,1),(111,1),(118,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(84,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(85,1),(110,1),(113,1),(119,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(87,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(89,1),(115,1)}
       101:{2,3,4,7}:{(82,1),(85,1),(90,1),(115,1),(117,1)}
       102:{2,4,5,7}:{(82,1),(83,1),(91,1),(111,1),(117,1),(118,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(87,1),(112,1),(118,1),(119,1),(135,1),(139,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(92,1),(117,1),(119,1)}
       105:{1,2,4,6}:{(86,1),(87,1),(88,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(115,1),(120,1),(135,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(120,1)}
       108:{2,3,5}:{(90,1),(91,1),(92,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(101,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(103,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(105,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(106,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(107,1),(122,1),(127,1),(128,1),(136,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(108,1),(127,1),(129,1)}
       118:{2,4,6}:{(102,1),(103,1),(124,1),(129,1)}
       119:{1,3,6}:{(104,1),(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(118,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(119,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(120,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(118,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(117,1),(118,1),(119,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2770 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2771 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2772 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2773 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(134,1),(135,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(87,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(103,1),(135,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(88,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(115,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(74,1),(111,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(47,1),(135,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(61,1),(97,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(47,1),(70,1),(100,1),(106,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(47,1),(110,1),(111,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(60,1),(96,1),(97,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(75,1),(130,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(47,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(49,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(47,1),(49,1)}
        37:{1,2,3,4,6,7}:{(27,1),(50,1),(55,1),(81,1),(83,1),(113,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(47,1),(51,1),(100,1),(110,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(49,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(34,1),(56,1),(84,1),(118,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(58,1),(59,1),(62,1),(89,1),(139,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(57,1),(59,1),(94,1),(141,1)}
        47:{2,4,6,7}:{(34,1),(36,1),(38,1),(60,1)}
        48:{1,2,4,5,6}:{(35,1),(40,1),(58,1),(62,1),(63,1),(67,1)}
        49:{1,4,5,7}:{(35,1),(36,1),(41,1),(60,1)}
        50:{1,2,3,5,7}:{(37,1),(39,1),(64,1),(65,1),(128,1)}
        51:{1,3,5,6,7}:{(38,1),(41,1),(60,1),(66,1),(96,1)}
        52:{1,2,4,5}:{(39,1),(61,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(96,1)}
        56:{2,4,5,6,7}:{(44,1),(47,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(46,1),(47,1),(69,1),(73,1),(110,1),(131,1)}
        58:{2,4,5,6}:{(45,1),(75,1),(76,1)}
        59:{1,3,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(76,1),(80,1),(108,1),(145,1)}
        60:{1,4,6,7}:{(47,1),(49,1),(51,1)}
        61:{1,3,4,5}:{(52,1),(74,1),(79,1)}
        62:{1,3,5,6}:{(48,1),(75,1),(79,1),(80,1)}
        63:{1,2,4,5,7}:{(48,1),(49,1),(54,1),(76,1),(78,1),(80,1),(83,1)}
        64:{1,2,4,5,7}:{(50,1),(52,1),(77,1),(81,1),(83,1)}
        65:{1,2,3,5,6}:{(50,1),(81,1),(112,1)}
        66:{1,2,5,6,7}:{(51,1),(54,1),(78,1),(100,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(79,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(80,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(60,1),(84,1),(140,1)}
        71:{1,2,3,4,6}:{(86,1),(87,1),(120,1),(121,1)}
        72:{1,2,4,5,6}:{(58,1),(89,1),(90,1),(121,1),(139,1),(142,1)}
        73:{1,3,4,6,7}:{(57,1),(59,1),(60,1),(84,1),(92,1),(96,1),(124,1),(140,1)}
        74:{2,3,4,5}:{(61,1),(88,1),(93,1)}
        75:{2,3,5,6}:{(58,1),(62,1),(89,1),(93,1),(94,1)}
        76:{2,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        77:{1,3,4,5,7}:{(61,1),(64,1),(91,1),(95,1),(97,1),(128,1)}
        78:{1,2,4,6,7}:{(60,1),(63,1),(66,1),(92,1),(96,1)}
        79:{1,3,4,6}:{(61,1),(62,1),(67,1),(93,1),(97,1)}
        80:{1,3,5,7}:{(62,1),(63,1),(94,1),(96,1),(97,1)}
        81:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        82:{1,2,3,5,6,7}:{(65,1),(66,1),(68,1),(96,1),(99,1),(116,1),(128,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(97,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(78,1),(100,1),(101,1),(114,1),(131,1)}
        86:{1,2,3,4,7}:{(71,1),(102,1),(135,1)}
        87:{1,2,3,5}:{(71,1),(103,1)}
        88:{1,3,4,5}:{(74,1),(103,1),(107,1)}
        89:{1,3,5,6}:{(72,1),(75,1),(107,1),(108,1)}
        90:{1,2,4,5,7}:{(72,1),(76,1),(106,1),(108,1),(135,1),(145,1),(146,1)}
        91:{2,3,4,5,7}:{(74,1),(77,1),(105,1),(109,1),(111,1),(138,1)}
        92:{2,4,6,7}:{(73,1),(76,1),(100,1),(110,1)}
        93:{2,3,4,6}:{(74,1),(75,1),(79,1),(107,1),(111,1)}
        94:{2,3,5,7}:{(75,1),(76,1),(80,1),(108,1),(110,1),(111,1)}
        95:{1,3,4,6}:{(77,1),(81,1),(109,1),(112,1)}
        96:{1,3,6,7}:{(78,1),(80,1),(110,1)}
        97:{1,3,4,7}:{(79,1),(80,1),(83,1),(111,1)}
        98:{1,2,4,5,6}:{(81,1),(112,1),(114,1),(130,1)}
        99:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(113,1),(114,1),(131,1)}
       100:{2,5,6,7}:{(84,1),(92,1)}
       101:{1,3,5,6,7}:{(85,1),(96,1),(116,1),(118,1),(128,1)}
       102:{1,2,3,5,7}:{(86,1),(87,1),(119,1),(120,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(121,1)}
       104:{1,2,3,5,6}:{(87,1),(89,1),(120,1),(121,1),(122,1),(142,1)}
       105:{1,3,4,5,7}:{(88,1),(91,1),(119,1),(123,1),(125,1),(144,1)}
       106:{1,2,4,6,7}:{(90,1),(92,1),(115,1),(124,1),(140,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(93,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(89,1),(90,1),(94,1),(124,1),(125,1)}
       109:{2,3,4,6}:{(91,1),(95,1),(123,1),(126,1)}
       110:{2,3,6,7}:{(92,1),(94,1),(96,1),(124,1)}
       111:{2,3,4,7}:{(93,1),(94,1),(97,1),(125,1)}
       112:{1,3,5,6}:{(95,1),(98,1),(126,1),(128,1)}
       113:{1,3,4,6,7}:{(95,1),(96,1),(97,1),(99,1),(127,1),(128,1)}
       114:{1,2,4,5,7}:{(98,1),(99,1),(128,1),(141,1)}
       115:{1,2,5,6,7}:{(100,1),(106,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(110,1),(129,1),(131,1),(138,1)}
       117:{1,3,4,5,6}:{(112,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(105,1),(133,1),(135,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,2,4,6}:{(103,1),(104,1),(107,1),(135,1)}
       122:{1,2,3,5,7}:{(104,1),(108,1),(134,1),(135,1),(146,1)}
       123:{1,3,4,6}:{(105,1),(109,1),(133,1),(136,1)}
       124:{1,3,6,7}:{(106,1),(108,1),(110,1)}
       125:{1,3,4,7}:{(107,1),(108,1),(111,1),(135,1)}
       126:{2,3,5,6}:{(109,1),(112,1),(130,1),(136,1),(138,1)}
       127:{2,3,4,6,7}:{(109,1),(110,1),(111,1),(113,1),(131,1),(137,1),(138,1)}
       128:{1,3,5,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(124,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(126,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(128,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(123,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(124,1),(143,1)}
       135:{1,2,4,7}:{(121,1),(122,1),(125,1)}
       136:{1,3,5,6}:{(123,1),(126,1),(139,1),(142,1),(144,1)}
       137:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(140,1),(143,1),(144,1)}
       138:{2,3,5,7}:{(126,1),(127,1),(128,1),(141,1),(144,1)}
       139:{1,4,5,6}:{(130,1),(136,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(138,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(136,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(146,1)}
       144:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2774 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(66,1),(99,1),(100,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(84,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(100,1),(101,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(81,1),(112,1),(113,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(114,1),(115,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(100,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(105,1),(106,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(113,1),(114,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(91,1),(92,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(71,1),(96,1),(103,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(104,1),(105,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(76,1),(77,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(113,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(90,1),(91,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(41,1),(42,1),(70,1),(145,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(103,1),(104,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(76,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(76,1)}
        41:{2,3,4,5,7}:{(31,1),(33,1),(52,1),(53,1),(87,1),(140,1)}
        42:{1,3,4,5,6}:{(31,1),(34,1),(53,1),(54,1),(58,1),(80,1),(146,1)}
        43:{1,3,4,5,6,7}:{(32,1),(55,1),(85,1),(122,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(54,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(90,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(90,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,3,4,6,7}:{(41,1),(44,1),(67,1),(68,1),(104,1),(131,1)}
        53:{1,3,4,5,7}:{(41,1),(42,1),(45,1),(68,1),(69,1),(73,1),(97,1),(143,1)}
        54:{2,4,5,6}:{(42,1),(69,1),(70,1)}
        55:{2,4,5,6,7}:{(43,1),(44,1),(67,1),(71,1),(103,1),(131,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6}:{(46,1),(70,1),(73,1),(74,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(72,1),(103,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(73,1),(76,1)}
        61:{1,2,4,6}:{(49,1),(74,1),(76,1),(77,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(76,1),(78,1),(108,1),(111,1)}
        63:{1,2,3,5}:{(51,1),(77,1)}
        64:{1,2,4,5,6}:{(54,1),(79,1),(80,1),(82,1),(139,1),(146,1)}
        65:{1,2,3,5,6}:{(80,1),(81,1),(82,1),(84,1),(118,1),(139,1)}
        66:{1,2,3,4,6}:{(82,1),(83,1),(84,1),(118,1)}
        67:{2,3,5,6,7}:{(52,1),(55,1),(85,1)}
        68:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(85,1),(86,1),(90,1),(113,1),(136,1)}
        69:{2,4,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        70:{2,3,5,6}:{(54,1),(58,1),(80,1),(87,1),(88,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(136,1)}
        72:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(86,1),(90,1)}
        73:{1,3,5,7}:{(57,1),(58,1),(87,1),(90,1),(91,1)}
        74:{1,3,4,6}:{(58,1),(61,1),(88,1),(91,1),(92,1)}
        75:{1,2,3,5,6,7}:{(59,1),(60,1),(90,1),(93,1),(95,1),(119,1),(123,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(91,1)}
        77:{1,2,4,5}:{(61,1),(63,1),(92,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(94,1),(95,1),(123,1)}
        79:{1,2,4,5,7}:{(64,1),(69,1),(96,1),(97,1),(100,1),(129,1),(143,1)}
        80:{1,3,5,6}:{(64,1),(70,1),(97,1),(98,1)}
        81:{1,2,3,5,7}:{(65,1),(97,1),(99,1),(100,1),(129,1)}
        82:{1,2,4,6}:{(65,1),(98,1),(100,1),(101,1)}
        83:{1,2,3,4,7}:{(66,1),(100,1),(102,1)}
        84:{1,2,3,5}:{(66,1),(101,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(103,1)}
        86:{2,4,6,7}:{(68,1),(69,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(70,1),(73,1),(97,1),(104,1),(105,1)}
        88:{2,3,4,6}:{(70,1),(74,1),(98,1),(105,1),(106,1)}
        89:{1,2,4,5,6,7}:{(71,1),(72,1),(103,1),(107,1),(110,1),(131,1)}
        90:{1,3,6,7}:{(72,1),(73,1),(104,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(76,1),(105,1)}
        92:{1,3,4,5}:{(74,1),(77,1),(106,1)}
        93:{1,2,4,6,7}:{(75,1),(76,1),(108,1),(110,1),(111,1),(131,1)}
        94:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(109,1),(111,1)}
        95:{1,2,3,5,6}:{(78,1),(111,1),(135,1)}
        96:{1,2,4,6,7}:{(79,1),(86,1),(112,1),(113,1),(136,1)}
        97:{1,3,5,7}:{(79,1),(80,1),(87,1),(113,1),(114,1)}
        98:{1,3,4,6}:{(80,1),(82,1),(88,1),(114,1),(115,1)}
        99:{1,2,3,6,7}:{(81,1),(113,1),(116,1),(118,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(114,1)}
       101:{1,2,4,5}:{(82,1),(84,1),(115,1)}
       102:{1,2,3,5,7}:{(83,1),(84,1),(117,1),(118,1)}
       103:{2,5,6,7}:{(85,1),(86,1)}
       104:{2,3,6,7}:{(86,1),(87,1),(90,1),(113,1)}
       105:{2,3,4,7}:{(87,1),(88,1),(91,1),(114,1)}
       106:{2,3,4,5}:{(88,1),(92,1),(115,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(119,1),(122,1),(123,1)}
       108:{1,3,4,6,7}:{(90,1),(91,1),(93,1),(120,1),(123,1),(124,1)}
       109:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(121,1),(123,1),(124,1)}
       110:{1,2,4,5,7}:{(93,1),(123,1),(125,1),(140,1)}
       111:{1,2,4,6}:{(94,1),(95,1),(124,1)}
       112:{1,2,5,6,7}:{(96,1),(103,1),(126,1),(129,1)}
       113:{1,3,6,7}:{(96,1),(97,1),(104,1)}
       114:{1,3,4,7}:{(97,1),(98,1),(100,1),(105,1)}
       115:{1,3,4,5}:{(98,1),(101,1),(106,1)}
       116:{1,2,4,6,7}:{(99,1),(100,1),(127,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(128,1),(129,1),(130,1)}
       118:{1,2,3,6}:{(102,1),(130,1)}
       119:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(126,1),(131,1),(132,1)}
       120:{2,3,4,6,7}:{(104,1),(105,1),(108,1),(127,1),(131,1),(132,1),(133,1)}
       121:{2,3,4,5,7}:{(105,1),(106,1),(109,1),(128,1),(132,1),(133,1)}
       122:{1,3,4,6,7}:{(107,1),(131,1),(134,1)}
       123:{1,3,5,7}:{(108,1),(110,1),(132,1),(135,1)}
       124:{1,3,4,6}:{(109,1),(111,1),(133,1),(135,1)}
       125:{1,2,4,5,6}:{(110,1),(111,1),(135,1),(145,1)}
       126:{1,3,5,6,7}:{(112,1),(113,1),(119,1),(136,1),(137,1)}
       127:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(120,1),(136,1),(137,1),(138,1)}
       128:{1,3,4,5,7}:{(114,1),(115,1),(117,1),(121,1),(137,1),(138,1)}
       129:{1,2,5,7}:{(116,1),(137,1),(139,1)}
       130:{1,2,4,6}:{(117,1),(118,1),(138,1),(139,1)}
       131:{2,4,6,7}:{(119,1),(122,1),(136,1),(140,1)}
       132:{2,3,5,7}:{(120,1),(123,1),(137,1),(140,1),(141,1)}
       133:{2,3,4,6}:{(121,1),(124,1),(138,1),(141,1)}
       134:{1,3,4,5,7}:{(122,1),(123,1),(140,1),(142,1)}
       135:{1,3,5,6}:{(123,1),(124,1),(125,1),(141,1)}
       136:{1,4,6,7}:{(126,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(127,1),(129,1),(132,1),(143,1),(144,1)}
       138:{1,3,4,6}:{(128,1),(130,1),(133,1),(144,1)}
       139:{1,2,5,6}:{(129,1),(130,1),(144,1)}
       140:{2,4,5,7}:{(131,1),(132,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6}:{(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,5,6}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,5,6}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,5,6}:{(143,1),(144,1),(145,1)}

2775 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(78,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(96,1),(129,1)}
         5:{1,2,4,5}:{(2,1),(9,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(82,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(21,1),(24,1),(54,1),(113,1),(141,1)}
        11:{1,2,3,6}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(20,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(22,1),(24,1),(53,1),(54,1)}
        14:{1,2,3,4,6}:{(7,1),(26,1),(28,1),(60,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(25,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(33,1),(35,1),(71,1),(97,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(32,1),(34,1),(35,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(33,1),(36,1)}
        22:{1,2,3,6,7}:{(11,1),(13,1),(37,1),(72,1),(129,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(65,1),(70,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(35,1)}
        25:{1,3,4,5}:{(16,1),(18,1),(40,1)}
        26:{1,2,3,5}:{(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(39,1),(41,1),(43,1),(46,1),(82,1),(83,1)}
        28:{1,2,3,6}:{(15,1),(43,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(40,1),(45,1),(46,1)}
        30:{1,2,3,7}:{(17,1),(46,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(47,1),(49,1),(79,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(48,1),(49,1)}
        33:{1,3,4,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,5,6}:{(20,1),(23,1),(48,1),(53,1)}
        35:{1,3,4,7}:{(20,1),(24,1),(49,1),(53,1)}
        36:{1,2,5,6}:{(21,1),(51,1),(54,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(52,1),(54,1),(141,1),(152,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(54,1),(55,1),(85,1),(90,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(31,1),(56,1),(58,1),(59,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(29,1),(32,1),(57,1),(58,1)}
        41:{1,2,4,5}:{(26,1),(59,1),(60,1)}
        42:{1,2,3,5,6}:{(26,1),(28,1),(60,1),(61,1),(62,1),(99,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(56,1),(62,1)}
        44:{1,2,3,6,7}:{(28,1),(30,1),(61,1),(63,1),(133,1)}
        45:{1,2,5,6}:{(29,1),(57,1),(64,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(58,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(33,1),(56,1),(66,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(57,1),(65,1),(68,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(34,1),(65,1),(69,1),(70,1),(104,1)}
        51:{1,3,5,6}:{(33,1),(36,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(67,1),(71,1),(72,1),(108,1),(131,1),(149,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(38,1),(68,1),(72,1)}
        54:{1,2,5,7}:{(36,1),(37,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(72,1),(73,1),(103,1),(108,1)}
        56:{1,3,4,6}:{(39,1),(43,1),(47,1),(75,1)}
        57:{1,3,5,6}:{(40,1),(45,1),(48,1),(74,1),(77,1)}
        58:{1,3,4,7}:{(40,1),(46,1),(49,1),(77,1)}
        59:{1,3,4,5}:{(41,1),(79,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(42,1),(80,1),(82,1)}
        61:{1,2,3,5,7}:{(42,1),(44,1),(82,1),(83,1),(118,1)}
        62:{1,2,5,6}:{(43,1),(75,1),(83,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(76,1),(82,1),(83,1),(84,1)}
        64:{1,2,5,7}:{(45,1),(46,1),(77,1),(84,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(74,1),(85,1)}
        66:{2,3,5,6}:{(47,1),(51,1),(75,1),(86,1),(87,1)}
        67:{2,3,4,6,7}:{(47,1),(49,1),(52,1),(76,1),(87,1),(88,1),(117,1),(122,1),(143,1)}
        68:{2,3,5,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(88,1)}
        69:{1,3,4,5,7}:{(50,1),(53,1),(85,1),(89,1),(90,1),(121,1)}
        70:{1,4,5,6}:{(51,1),(86,1),(90,1)}
        71:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(90,1)}
        72:{1,3,6,7}:{(53,1),(55,1),(88,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(91,1),(120,1),(152,1)}
        74:{1,4,5,6}:{(57,1),(65,1),(92,1)}
        75:{1,3,5,6}:{(56,1),(62,1),(66,1),(93,1),(94,1)}
        76:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(67,1),(94,1),(95,1),(100,1),(127,1),(133,1)}
        77:{1,3,5,7}:{(57,1),(58,1),(64,1),(68,1),(92,1),(95,1)}
        78:{1,2,3,4}:{(96,1)}
        79:{2,3,4,5}:{(59,1),(97,1),(98,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(98,1),(99,1),(100,1)}
        81:{1,2,4,5,6}:{(60,1),(62,1),(93,1),(99,1),(101,1),(125,1)}
        82:{1,2,4,7}:{(60,1),(61,1),(100,1)}
        83:{1,2,5,7}:{(62,1),(63,1),(94,1)}
        84:{1,2,6,7}:{(64,1),(95,1)}
        85:{2,4,5,7}:{(65,1),(68,1),(69,1),(92,1),(103,1)}
        86:{2,4,5,6}:{(66,1),(70,1),(93,1),(104,1),(105,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(71,1),(94,1),(105,1)}
        88:{2,3,6,7}:{(68,1),(72,1),(95,1),(103,1)}
        89:{1,3,4,6,7}:{(69,1),(72,1),(103,1),(107,1),(108,1),(135,1)}
        90:{1,4,5,7}:{(70,1),(71,1),(105,1),(108,1)}
        91:{1,3,5,6,7}:{(71,1),(72,1),(73,1),(106,1),(108,1),(149,1),(153,1)}
        92:{1,4,5,7}:{(74,1),(77,1),(85,1),(109,1)}
        93:{1,4,5,6}:{(75,1),(86,1),(111,1)}
        94:{1,3,5,7}:{(75,1),(76,1),(83,1),(87,1),(111,1)}
        95:{1,3,6,7}:{(77,1),(84,1),(88,1),(109,1)}
        96:{1,2,3,5}:{(78,1),(113,1),(114,1)}
        97:{1,3,4,5}:{(79,1),(113,1),(115,1)}
        98:{2,3,4,6}:{(79,1),(80,1),(115,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(80,1),(81,1),(116,1),(118,1)}
       100:{1,3,4,7}:{(80,1),(82,1),(117,1),(118,1)}
       101:{1,2,4,5,7}:{(81,1),(82,1),(83,1),(111,1),(118,1),(119,1),(138,1)}
       102:{1,2,5,6,7}:{(83,1),(84,1),(112,1),(119,1),(150,1)}
       103:{2,4,6,7}:{(85,1),(88,1),(89,1),(109,1),(120,1)}
       104:{3,4,5,6}:{(86,1),(121,1)}
       105:{2,4,5,7}:{(86,1),(87,1),(90,1),(111,1),(121,1),(122,1)}
       106:{2,3,5,6,7}:{(87,1),(88,1),(91,1),(112,1),(120,1),(122,1),(143,1),(144,1),(150,1)}
       107:{1,3,5,6,7}:{(89,1),(120,1),(123,1),(144,1)}
       108:{1,4,6,7}:{(90,1),(91,1),(122,1)}
       109:{1,4,6,7}:{(92,1),(95,1),(103,1),(124,1)}
       110:{1,3,4,5,6}:{(93,1),(99,1),(104,1),(125,1),(126,1)}
       111:{1,4,5,7}:{(93,1),(94,1),(105,1),(127,1)}
       112:{1,3,5,6,7}:{(94,1),(95,1),(102,1),(106,1),(124,1),(127,1),(133,1)}
       113:{1,2,4,5}:{(96,1),(97,1),(128,1)}
       114:{1,2,3,6}:{(96,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(97,1),(98,1),(128,1),(130,1),(131,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(125,1),(130,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(131,1),(132,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(133,1)}
       119:{1,2,4,6,7}:{(101,1),(102,1),(127,1),(133,1),(147,1)}
       120:{2,5,6,7}:{(103,1),(107,1),(124,1)}
       121:{3,4,5,7}:{(104,1),(105,1),(135,1)}
       122:{2,4,6,7}:{(105,1),(106,1),(108,1),(127,1),(135,1)}
       123:{1,4,5,6,7}:{(107,1),(108,1),(134,1),(153,1)}
       124:{1,5,6,7}:{(109,1),(120,1)}
       125:{2,4,5,6}:{(110,1),(116,1),(137,1),(138,1)}
       126:{1,3,4,5,7}:{(110,1),(111,1),(118,1),(121,1),(138,1),(139,1)}
       127:{1,4,6,7}:{(111,1),(112,1),(122,1)}
       128:{1,2,4,6}:{(113,1),(114,1),(115,1),(140,1),(141,1)}
       129:{1,2,3,7}:{(114,1),(141,1)}
       130:{1,3,5,6}:{(115,1),(116,1),(137,1),(140,1),(142,1)}
       131:{1,3,4,7}:{(115,1),(117,1),(141,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(118,1),(138,1),(142,1),(143,1)}
       133:{1,3,6,7}:{(118,1),(119,1),(143,1)}
       134:{2,4,5,6,7}:{(120,1),(122,1),(123,1),(136,1),(144,1),(150,1)}
       135:{3,4,6,7}:{(121,1),(122,1),(144,1)}
       136:{1,4,5,6,7}:{(124,1),(127,1),(134,1),(145,1)}
       137:{1,4,5,6}:{(125,1),(130,1),(146,1)}
       138:{2,4,5,7}:{(125,1),(126,1),(132,1),(146,1),(147,1)}
       139:{1,3,4,6,7}:{(126,1),(127,1),(133,1),(135,1),(145,1),(147,1)}
       140:{1,2,5,6}:{(128,1),(130,1),(148,1)}
       141:{1,2,4,7}:{(128,1),(129,1),(131,1),(148,1)}
       142:{1,3,5,7}:{(130,1),(131,1),(132,1),(146,1),(148,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(133,1),(147,1),(149,1)}
       144:{3,5,6,7}:{(134,1),(135,1)}
       145:{1,3,5,6,7}:{(136,1),(139,1),(144,1),(150,1)}
       146:{1,4,5,7}:{(137,1),(138,1),(142,1),(151,1)}
       147:{2,4,6,7}:{(138,1),(139,1),(143,1),(150,1),(151,1)}
       148:{1,2,5,7}:{(140,1),(141,1),(142,1),(152,1)}
       149:{1,3,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{2,5,6,7}:{(145,1),(147,1),(153,1)}
       151:{1,4,6,7}:{(146,1),(147,1),(149,1),(153,1)}
       152:{1,2,6,7}:{(148,1),(149,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2776 :   0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(57,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(20,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(77,1),(120,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(32,1),(61,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,4,5,7}:{(2,1),(9,1),(10,1),(12,1),(36,1),(37,1),(99,1),(137,1)}
         6:{1,2,3,6}:{(2,1),(12,1)}
         7:{1,2,3,4,6}:{(3,1),(14,1),(16,1),(40,1)}
         8:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(16,1),(48,1),(91,1)}
         9:{1,3,4,5,7}:{(5,1),(17,1),(18,1),(19,1),(47,1),(52,1),(78,1),(122,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(6,1),(20,1),(21,1),(22,1),(51,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(18,1),(22,1)}
        13:{1,2,3,6,7}:{(6,1),(21,1),(23,1),(95,1),(120,1)}
        14:{1,2,3,5}:{(7,1),(25,1)}
        15:{1,2,4,5,7}:{(8,1),(24,1),(25,1),(27,1),(61,1),(62,1),(68,1),(113,1)}
        16:{1,2,3,6}:{(8,1),(27,1)}
        17:{2,3,4,5,7}:{(9,1),(24,1),(29,1),(33,1),(58,1),(64,1),(72,1),(103,1)}
        18:{1,3,4,6}:{(9,1),(12,1),(29,1),(30,1)}
        19:{1,3,4,5}:{(10,1),(33,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(34,1),(36,1)}
        21:{1,2,3,5,7}:{(11,1),(13,1),(36,1),(37,1),(73,1)}
        22:{1,2,5,6}:{(12,1),(30,1),(37,1)}
        23:{1,2,4,6,7}:{(12,1),(13,1),(31,1),(36,1),(37,1),(137,1),(152,1)}
        24:{1,3,4,5,7}:{(15,1),(17,1),(38,1),(39,1),(49,1),(76,1),(81,1),(93,1)}
        25:{1,2,4,5}:{(14,1),(39,1),(40,1)}
        26:{1,2,3,5,6}:{(14,1),(16,1),(40,1),(41,1),(42,1),(80,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(38,1),(42,1)}
        28:{1,2,3,6,7}:{(16,1),(41,1),(43,1),(91,1),(124,1)}
        29:{2,3,4,6}:{(17,1),(18,1),(38,1),(44,1)}
        30:{1,3,5,6}:{(18,1),(22,1),(44,1),(46,1),(47,1)}
        31:{1,3,4,6,7}:{(18,1),(23,1),(45,1),(47,1),(52,1),(89,1),(95,1),(122,1),(148,1)}
        32:{1,2,3,4}:{(48,1)}
        33:{2,3,4,5}:{(19,1),(49,1),(50,1)}
        34:{1,3,4,6}:{(19,1),(20,1),(50,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(20,1),(22,1),(46,1),(51,1),(53,1),(87,1)}
        36:{1,2,4,7}:{(20,1),(21,1),(52,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(47,1)}
        38:{1,3,4,6}:{(24,1),(27,1),(29,1),(55,1)}
        39:{1,3,4,5}:{(25,1),(58,1),(59,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        41:{1,2,3,5,7}:{(26,1),(28,1),(61,1),(62,1),(104,1)}
        42:{1,2,5,6}:{(27,1),(55,1),(62,1)}
        43:{1,2,4,6,7}:{(27,1),(28,1),(56,1),(61,1),(62,1),(113,1),(143,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(55,1),(63,1),(64,1)}
        45:{2,3,4,6,7}:{(29,1),(31,1),(56,1),(64,1),(72,1),(103,1),(107,1),(115,1),(139,1)}
        46:{1,4,5,6}:{(30,1),(63,1),(66,1)}
        47:{1,3,5,7}:{(30,1),(31,1),(37,1),(64,1),(66,1)}
        48:{1,2,3,5}:{(32,1),(68,1),(69,1)}
        49:{1,3,4,5}:{(33,1),(68,1),(70,1)}
        50:{2,3,4,6}:{(33,1),(34,1),(70,1),(71,1),(72,1)}
        51:{1,3,5,6}:{(34,1),(35,1),(71,1),(73,1)}
        52:{1,3,4,7}:{(34,1),(36,1),(72,1),(73,1)}
        53:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(66,1),(73,1),(74,1),(110,1)}
        54:{1,2,5,6,7}:{(37,1),(67,1),(74,1),(141,1),(152,1)}
        55:{1,3,5,6}:{(38,1),(42,1),(44,1),(75,1),(76,1)}
        56:{1,3,4,6,7}:{(38,1),(43,1),(45,1),(76,1),(81,1),(93,1),(118,1),(124,1),(131,1)}
        57:{1,2,3,4}:{(77,1)}
        58:{2,3,4,5}:{(39,1),(78,1),(79,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(79,1),(80,1),(81,1)}
        60:{1,2,4,5,6}:{(40,1),(42,1),(75,1),(80,1),(82,1),(116,1)}
        61:{1,2,4,7}:{(40,1),(41,1),(81,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(76,1)}
        63:{2,4,5,6}:{(44,1),(46,1),(75,1),(84,1),(85,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(47,1),(76,1),(85,1)}
        65:{1,3,4,5,6}:{(46,1),(51,1),(84,1),(87,1),(88,1)}
        66:{1,4,5,7}:{(46,1),(47,1),(85,1),(89,1)}
        67:{1,3,5,6,7}:{(47,1),(54,1),(86,1),(89,1),(95,1),(148,1),(153,1)}
        68:{1,2,4,5}:{(48,1),(49,1),(90,1)}
        69:{1,2,3,6}:{(48,1),(90,1),(91,1)}
        70:{1,3,4,6}:{(49,1),(50,1),(90,1),(92,1),(93,1)}
        71:{2,3,5,6}:{(50,1),(51,1),(87,1),(92,1),(94,1)}
        72:{2,3,4,7}:{(50,1),(52,1),(93,1),(94,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(53,1),(94,1),(95,1)}
        74:{1,2,4,6,7}:{(53,1),(54,1),(89,1),(95,1),(129,1)}
        75:{1,4,5,6}:{(55,1),(63,1),(97,1)}
        76:{1,3,5,7}:{(55,1),(56,1),(62,1),(64,1),(97,1)}
        77:{1,2,3,5}:{(57,1),(99,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(99,1),(101,1)}
        79:{2,3,4,6}:{(58,1),(59,1),(101,1),(102,1),(103,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(102,1),(104,1)}
        81:{1,3,4,7}:{(59,1),(61,1),(103,1),(104,1)}
        82:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(97,1),(104,1),(105,1),(134,1)}
        83:{1,2,5,6,7}:{(62,1),(98,1),(105,1),(143,1),(150,1)}
        84:{3,4,5,6}:{(63,1),(106,1)}
        85:{2,4,5,7}:{(63,1),(64,1),(66,1),(97,1),(106,1),(107,1)}
        86:{2,3,5,6,7}:{(64,1),(67,1),(98,1),(107,1),(115,1),(139,1),(140,1),(141,1),(150,1)}
        87:{2,4,5,6}:{(65,1),(71,1),(109,1),(110,1)}
        88:{1,3,4,5,7}:{(65,1),(66,1),(73,1),(106,1),(110,1),(111,1)}
        89:{1,4,6,7}:{(66,1),(67,1),(107,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(112,1),(113,1)}
        91:{1,2,3,7}:{(69,1),(113,1)}
        92:{1,3,5,6}:{(70,1),(71,1),(109,1),(112,1),(114,1)}
        93:{1,3,4,7}:{(70,1),(72,1),(113,1),(114,1)}
        94:{2,3,5,7}:{(71,1),(72,1),(73,1),(110,1),(114,1),(115,1)}
        95:{1,3,6,7}:{(73,1),(74,1),(115,1)}
        96:{1,3,4,5,6}:{(75,1),(80,1),(84,1),(116,1),(117,1)}
        97:{1,4,5,7}:{(75,1),(76,1),(85,1),(118,1)}
        98:{1,3,5,6,7}:{(76,1),(83,1),(86,1),(118,1),(124,1),(131,1),(149,1)}
        99:{1,2,4,5}:{(77,1),(78,1),(119,1)}
       100:{1,2,3,6}:{(77,1),(119,1),(120,1)}
       101:{1,3,4,6}:{(78,1),(79,1),(119,1),(121,1),(122,1)}
       102:{2,3,5,6}:{(79,1),(80,1),(116,1),(121,1),(123,1)}
       103:{2,3,4,7}:{(79,1),(81,1),(122,1),(123,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(82,1),(123,1),(124,1)}
       105:{1,2,4,6,7}:{(82,1),(83,1),(118,1),(124,1),(146,1)}
       106:{3,4,5,7}:{(84,1),(85,1),(126,1)}
       107:{2,4,6,7}:{(85,1),(86,1),(89,1),(118,1),(126,1)}
       108:{1,4,5,6,7}:{(89,1),(125,1),(127,1),(153,1)}
       109:{1,4,5,6}:{(87,1),(92,1),(128,1)}
       110:{2,4,5,7}:{(87,1),(88,1),(94,1),(128,1),(129,1)}
       111:{1,3,4,6,7}:{(88,1),(89,1),(95,1),(126,1),(127,1),(129,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(130,1)}
       113:{1,2,4,7}:{(90,1),(91,1),(93,1),(130,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(94,1),(128,1),(130,1),(131,1)}
       115:{2,3,6,7}:{(94,1),(95,1),(129,1),(131,1)}
       116:{2,4,5,6}:{(96,1),(102,1),(133,1),(134,1)}
       117:{1,3,4,5,7}:{(96,1),(97,1),(104,1),(106,1),(134,1),(135,1)}
       118:{1,4,6,7}:{(97,1),(98,1),(107,1)}
       119:{1,2,4,6}:{(99,1),(100,1),(101,1),(136,1),(137,1)}
       120:{1,2,3,7}:{(100,1),(137,1)}
       121:{1,3,5,6}:{(101,1),(102,1),(133,1),(136,1),(138,1)}
       122:{1,3,4,7}:{(101,1),(103,1),(137,1),(138,1)}
       123:{2,3,5,7}:{(102,1),(103,1),(104,1),(134,1),(138,1),(139,1)}
       124:{1,3,6,7}:{(104,1),(105,1),(139,1)}
       125:{2,4,5,6,7}:{(107,1),(108,1),(132,1),(140,1),(141,1),(150,1)}
       126:{3,4,6,7}:{(106,1),(107,1),(140,1)}
       127:{1,3,5,6,7}:{(108,1),(111,1),(140,1),(141,1)}
       128:{1,4,5,7}:{(109,1),(110,1),(114,1),(142,1)}
       129:{2,4,6,7}:{(110,1),(111,1),(115,1),(141,1),(142,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(143,1)}
       131:{1,3,6,7}:{(114,1),(115,1),(142,1),(143,1)}
       132:{1,4,5,6,7}:{(118,1),(125,1),(144,1),(149,1)}
       133:{1,4,5,6}:{(116,1),(121,1),(145,1)}
       134:{2,4,5,7}:{(116,1),(117,1),(123,1),(145,1),(146,1)}
       135:{1,3,4,6,7}:{(117,1),(118,1),(124,1),(126,1),(144,1),(146,1)}
       136:{1,2,5,6}:{(119,1),(121,1),(147,1)}
       137:{1,2,4,7}:{(119,1),(120,1),(122,1),(147,1)}
       138:{1,3,5,7}:{(121,1),(122,1),(123,1),(145,1),(147,1),(148,1)}
       139:{2,3,6,7}:{(123,1),(124,1),(146,1),(148,1)}
       140:{3,5,6,7}:{(125,1),(126,1)}
       141:{2,5,6,7}:{(127,1),(129,1),(149,1)}
       142:{1,4,6,7}:{(128,1),(129,1),(131,1),(149,1)}
       143:{1,2,6,7}:{(130,1),(131,1)}
       144:{1,3,5,6,7}:{(132,1),(135,1),(140,1),(150,1)}
       145:{1,4,5,7}:{(133,1),(134,1),(138,1),(151,1)}
       146:{2,4,6,7}:{(134,1),(135,1),(139,1),(150,1),(151,1)}
       147:{1,2,5,7}:{(136,1),(137,1),(138,1),(152,1)}
       148:{1,3,6,7}:{(138,1),(139,1),(151,1),(152,1)}
       149:{1,5,6,7}:{(141,1),(142,1)}
       150:{2,5,6,7}:{(144,1),(146,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(148,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2777 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4}:{(5,1)}
        3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
        6:{1,3,4,5}:{(3,1),(11,1),(12,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        8:{1,2,3,7}:{(4,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
       10:{1,2,3,6}:{(5,1),(16,1),(17,1)}
       11:{2,3,4,5}:{(6,1),(15,1),(18,1)}
       12:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
       13:{1,2,5,6}:{(7,1),(19,1),(21,1)}
       14:{1,2,4,7}:{(7,1),(8,1),(20,1),(21,1)}
       15:{1,3,4,5}:{(9,1),(11,1),(22,1)}
       16:{1,2,4,6}:{(9,1),(10,1),(22,1),(23,1),(24,1)}
       17:{1,2,3,7}:{(10,1),(24,1)}
       18:{2,3,4,6}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
       19:{1,3,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1)}
       20:{1,3,4,7}:{(12,1),(14,1),(26,1),(28,1)}
       21:{1,2,5,7}:{(13,1),(14,1),(28,1),(29,1)}
       22:{1,3,4,6}:{(15,1),(16,1),(18,1),(30,1),(31,1)}
       23:{1,2,5,6}:{(16,1),(30,1),(32,1)}
       24:{1,2,4,7}:{(16,1),(17,1),(31,1),(32,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1),(33,1),(34,1)}
       26:{2,3,4,7}:{(18,1),(20,1),(31,1),(34,1)}
       27:{1,4,5,6}:{(19,1),(33,1),(35,1)}
       28:{1,3,5,7}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1)}
       29:{1,2,6,7}:{(21,1),(36,1)}
       30:{1,3,5,6}:{(22,1),(23,1),(25,1),(37,1),(38,1)}
       31:{1,3,4,7}:{(22,1),(24,1),(26,1),(38,1)}
       32:{1,2,5,7}:{(23,1),(24,1),(38,1),(39,1)}
       33:{2,4,5,6}:{(25,1),(27,1),(37,1),(40,1),(41,1)}
       34:{2,3,5,7}:{(25,1),(26,1),(28,1),(38,1),(41,1),(42,1)}
       35:{1,4,5,7}:{(27,1),(28,1),(41,1),(43,1)}
       36:{1,3,6,7}:{(28,1),(29,1),(42,1),(43,1)}
       37:{1,4,5,6}:{(30,1),(33,1),(44,1)}
       38:{1,3,5,7}:{(30,1),(31,1),(32,1),(34,1),(44,1),(45,1)}
       39:{1,2,6,7}:{(32,1),(45,1)}
       40:{3,4,5,6}:{(33,1),(46,1)}
       41:{2,4,5,7}:{(33,1),(34,1),(35,1),(44,1),(46,1),(47,1)}
       42:{2,3,6,7}:{(34,1),(36,1),(45,1),(47,1)}
       43:{1,4,6,7}:{(35,1),(36,1),(47,1),(48,1)}
       44:{1,4,5,7}:{(37,1),(38,1),(41,1),(49,1)}
       45:{1,3,6,7}:{(38,1),(39,1),(42,1),(49,1)}
       46:{3,4,5,7}:{(40,1),(41,1),(50,1)}
       47:{2,4,6,7}:{(41,1),(42,1),(43,1),(49,1),(50,1),(51,1)}
       48:{1,5,6,7}:{(43,1),(51,1)}
       49:{1,4,6,7}:{(44,1),(45,1),(47,1),(52,1)}
       50:{3,4,6,7}:{(46,1),(47,1),(53,1)}
       51:{2,5,6,7}:{(47,1),(48,1),(52,1),(53,1)}
       52:{1,5,6,7}:{(49,1),(51,1)}
       53:{3,5,6,7}:{(50,1),(51,1),(54,1)}
       54:{4,5,6,7}:{(53,1)}

2778 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2779 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2780 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(156,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(140,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(140,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(166,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(49,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(124,1),(154,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(154,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(142,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(87,1),(94,1),(119,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(123,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(119,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(65,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(105,1),(138,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(138,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(67,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(138,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(49,1),(50,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(50,1)}
        39:{2,3,5,6}:{(29,1),(49,1),(53,1),(88,1),(94,1),(121,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(50,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(123,1)}
        42:{2,3,6,7}:{(31,1),(49,1),(57,1),(121,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(50,1),(57,1),(58,1),(84,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(119,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{2,3,5,7}:{(37,1),(39,1),(42,1),(65,1),(75,1)}
        50:{1,3,4,7}:{(37,1),(38,1),(40,1),(65,1)}
        51:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(66,1),(67,1),(112,1),(136,1)}
        52:{1,2,3,5,6}:{(39,1),(64,1),(68,1),(105,1),(111,1),(138,1),(143,1)}
        53:{2,4,6}:{(39,1),(40,1),(65,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(105,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(71,1),(72,1),(143,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(138,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(65,1),(75,1),(102,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(67,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(99,1),(115,1),(138,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(52,1),(56,1),(81,1),(92,1),(118,1),(159,1)}
        65:{2,4,7}:{(49,1),(50,1),(53,1)}
        66:{1,3,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(83,1),(84,1),(118,1),(129,1)}
        67:{2,3,4,6}:{(51,1),(59,1),(84,1),(132,1),(153,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(81,1),(86,1),(87,1),(158,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(86,1),(88,1),(121,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(84,1),(89,1),(90,1),(125,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(85,1),(90,1),(159,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(119,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(91,1),(93,1),(117,1),(121,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(84,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(85,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(119,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(68,1),(99,1),(169,1)}
        82:{2,3,4,7}:{(65,1),(69,1),(99,1),(101,1)}
        83:{2,4,5,7}:{(65,1),(66,1),(70,1),(75,1),(101,1),(102,1)}
        84:{1,3,4,6}:{(66,1),(67,1),(76,1),(102,1),(138,1),(147,1)}
        85:{2,3,4,6,7}:{(67,1),(72,1),(77,1),(103,1),(150,1),(165,1)}
        86:{1,3,4,6}:{(68,1),(69,1),(99,1),(104,1),(105,1),(138,1)}
        87:{1,2,4,5}:{(68,1),(70,1),(105,1),(142,1)}
        88:{2,3,5}:{(69,1),(70,1),(105,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(103,1),(109,1),(145,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(99,1),(110,1),(138,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(102,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(103,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(138,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(139,1),(150,1),(170,1),(174,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(86,1),(117,1),(118,1)}
       100:{1,2,4,5,7}:{(81,1),(83,1),(87,1),(92,1),(118,1),(119,1),(129,1),(152,1)}
       101:{2,3,5,7}:{(82,1),(83,1),(88,1),(118,1),(121,1)}
       102:{2,4,6}:{(83,1),(84,1),(94,1),(121,1)}
       103:{1,3,4,6,7}:{(84,1),(85,1),(90,1),(95,1),(122,1),(155,1),(162,1)}
       104:{2,3,4,6}:{(86,1),(117,1),(123,1),(153,1),(158,1)}
       105:{1,3,5}:{(86,1),(87,1),(88,1),(123,1)}
       106:{1,2,4,5,6}:{(87,1),(89,1),(119,1),(125,1),(126,1),(158,1),(161,1),(171,1)}
       107:{2,3,4,5}:{(88,1),(124,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(121,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(122,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(119,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(121,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(122,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(155,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(104,1),(136,1),(169,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(105,1),(136,1),(138,1)}
       119:{1,2,4,6}:{(100,1),(102,1),(111,1),(138,1),(147,1),(164,1)}
       120:{2,3,4,5,7}:{(101,1),(107,1),(112,1),(137,1),(140,1),(146,1),(168,1)}
       121:{2,3,6}:{(101,1),(102,1),(138,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(109,1),(114,1),(141,1)}
       123:{2,3,5}:{(104,1),(105,1),(142,1)}
       124:{1,3,4,5}:{(105,1),(107,1),(142,1),(144,1)}
       125:{1,3,5,6}:{(105,1),(106,1),(108,1),(138,1),(143,1),(144,1),(145,1)}
       126:{1,2,4,5,7}:{(106,1),(109,1),(139,1),(145,1),(169,1),(170,1),(174,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(144,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(141,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(138,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(139,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(141,1),(148,1),(150,1),(165,1),(168,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(166,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(123,1),(152,1),(153,1)}
       137:{1,3,4,5,7}:{(118,1),(120,1),(124,1),(129,1),(152,1),(154,1),(160,1),(173,1)}
       138:{1,3,6}:{(118,1),(119,1),(121,1),(153,1)}
       139:{1,2,4,6,7}:{(119,1),(122,1),(126,1),(131,1),(155,1),(162,1),(172,1)}
       140:{2,3,4,6}:{(120,1),(121,1),(132,1),(154,1),(156,1)}
       141:{2,3,6,7}:{(121,1),(122,1),(128,1),(155,1)}
       142:{2,4,5}:{(123,1),(124,1),(158,1)}
       143:{2,3,5,6}:{(123,1),(125,1),(153,1),(158,1),(159,1),(171,1)}
       144:{1,3,4,6}:{(124,1),(125,1),(127,1),(158,1),(160,1)}
       145:{1,3,5,7}:{(125,1),(126,1),(128,1),(155,1),(159,1),(160,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(160,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(155,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(156,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(142,1),(164,1),(169,1),(174,1)}
       153:{2,3,6}:{(136,1),(138,1),(164,1)}
       154:{1,3,4,6}:{(137,1),(138,1),(140,1),(147,1),(164,1),(166,1)}
       155:{1,3,6,7}:{(138,1),(139,1),(141,1),(145,1),(165,1)}
       156:{2,3,5,6}:{(140,1),(149,1),(166,1),(168,1)}
       157:{2,3,4,6,7}:{(140,1),(141,1),(146,1),(150,1),(167,1),(168,1)}
       158:{2,4,6}:{(142,1),(143,1),(144,1),(169,1)}
       159:{2,3,5,7}:{(143,1),(145,1),(165,1),(169,1),(174,1)}
       160:{1,3,4,7}:{(144,1),(145,1),(146,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(166,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(168,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(154,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(159,1),(172,1)}
       166:{1,3,5,6}:{(154,1),(156,1),(161,1),(171,1),(173,1)}
       167:{1,3,4,6,7}:{(154,1),(155,1),(157,1),(160,1),(162,1),(172,1),(173,1)}
       168:{2,3,5,7}:{(156,1),(157,1),(163,1),(173,1)}
       169:{2,4,7}:{(158,1),(159,1),(160,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(166,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5,7}:{(166,1),(167,1),(168,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2781 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2782 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2783 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(107,1),(145,1),(150,1)}
         1:{3,4,5,6,7}:{(4,1),(123,1),(184,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(42,1),(124,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(76,1),(119,1),(125,1),(160,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(98,1),(177,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(55,1),(98,1),(150,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(29,1),(53,1),(99,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(135,1),(171,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(166,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(74,1),(183,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(74,1),(160,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(43,1),(71,1),(121,1),(125,1),(128,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(20,1)}
        13:{2,3,5,6}:{(7,1),(19,1),(20,1),(21,1),(113,1),(155,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(174,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(52,1),(187,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(171,1)}
        17:{2,3,4,5,6}:{(26,1),(27,1),(32,1),(65,1),(88,1),(187,1)}
        18:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(29,1),(62,1),(99,1),(103,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(30,1),(95,1),(142,1)}
        20:{2,3,5,7}:{(12,1),(13,1),(25,1),(29,1),(31,1)}
        21:{2,3,4,6}:{(13,1),(30,1),(31,1),(32,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(182,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(188,1)}
        24:{1,2,4,6,7}:{(16,1),(18,1),(34,1),(37,1),(74,1),(78,1),(121,1)}
        25:{2,3,6,7}:{(16,1),(20,1),(37,1),(155,1)}
        26:{2,3,4,5,7}:{(17,1),(39,1),(40,1),(110,1),(180,1)}
        27:{1,3,4,5,6}:{(17,1),(40,1),(41,1),(45,1),(68,1),(87,1),(183,1),(184,1)}
        28:{2,3,5,6}:{(19,1),(42,1),(43,1),(85,1),(128,1),(131,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(37,1),(42,1),(44,1)}
        30:{1,3,4,6}:{(19,1),(21,1),(43,1),(44,1),(45,1)}
        31:{2,3,4,7}:{(20,1),(21,1),(44,1)}
        32:{2,3,4,5}:{(21,1),(45,1),(113,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(88,1),(95,1),(139,1),(142,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(51,1),(103,1),(139,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(51,1),(52,1),(57,1),(169,1)}
        36:{3,4,6,7}:{(23,1),(52,1),(53,1),(186,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(29,1),(55,1),(142,1)}
        38:{2,3,4,6,7}:{(25,1),(31,1),(52,1),(56,1),(57,1),(65,1)}
        39:{2,3,4,6,7}:{(26,1),(54,1),(58,1),(65,1),(133,1),(167,1)}
        40:{1,3,4,5,7}:{(26,1),(27,1),(58,1),(59,1),(92,1),(172,1),(175,1)}
        41:{2,4,5,6}:{(27,1),(59,1),(60,1),(63,1),(109,1)}
        42:{2,3,5,7}:{(28,1),(29,1),(55,1),(62,1),(103,1)}
        43:{2,4,6}:{(28,1),(30,1),(62,1),(63,1)}
        44:{1,3,4,7}:{(29,1),(30,1),(31,1),(62,1)}
        45:{1,3,4,5}:{(30,1),(32,1),(63,1),(95,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(57,1),(64,1),(65,1),(136,1),(168,1)}
        47:{1,2,4,5,6}:{(41,1),(67,1),(68,1),(71,1),(111,1),(121,1),(182,1),(183,1)}
        48:{1,2,3,5,7}:{(33,1),(42,1),(66,1),(70,1),(110,1),(116,1),(120,1)}
        49:{1,2,4,6}:{(33,1),(43,1),(69,1),(70,1),(71,1),(111,1)}
        50:{3,4,5,6,7}:{(72,1),(76,1),(178,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(73,1),(74,1),(79,1),(158,1)}
        52:{2,4,6,7}:{(35,1),(36,1),(74,1),(75,1),(181,1)}
        53:{3,4,5,7}:{(36,1),(75,1),(76,1)}
        54:{2,3,5,6,7}:{(39,1),(72,1),(77,1),(80,1)}
        55:{2,3,6,7}:{(37,1),(42,1),(78,1),(131,1)}
        56:{1,3,4,6,7}:{(37,1),(38,1),(44,1),(74,1),(78,1),(79,1),(87,1),(123,1)}
        57:{2,3,5,7}:{(38,1),(75,1),(79,1),(80,1)}
        58:{1,3,4,6,7}:{(39,1),(40,1),(77,1),(81,1),(87,1),(117,1),(156,1),(161,1)}
        59:{2,4,5,7}:{(40,1),(41,1),(81,1),(82,1)}
        60:{2,3,5,6}:{(41,1),(68,1),(82,1),(83,1),(85,1),(131,1)}
        61:{2,3,4,6}:{(43,1),(69,1),(84,1),(85,1),(131,1)}
        62:{2,4,7}:{(42,1),(43,1),(44,1)}
        63:{2,4,5}:{(43,1),(45,1),(85,1)}
        64:{1,3,4,5,7}:{(44,1),(45,1),(46,1),(79,1),(86,1),(87,1),(120,1),(157,1),(162,1)}
        65:{2,3,4,6}:{(46,1),(80,1),(87,1),(155,1),(181,1)}
        66:{1,2,3,6,7}:{(48,1),(55,1),(90,1),(133,1),(142,1)}
        67:{1,2,4,5,7}:{(47,1),(59,1),(91,1),(92,1),(134,1),(170,1),(172,1)}
        68:{1,3,5,6}:{(47,1),(60,1),(88,1),(92,1),(93,1),(95,1),(142,1)}
        69:{1,3,4,6}:{(49,1),(61,1),(89,1),(94,1),(95,1),(142,1)}
        70:{1,2,4,7}:{(48,1),(49,1),(62,1),(94,1),(134,1)}
        71:{1,2,4,5}:{(49,1),(63,1),(95,1),(135,1)}
        72:{2,4,5,6,7}:{(50,1),(54,1),(97,1),(100,1),(167,1)}
        73:{2,3,5,6,7}:{(51,1),(55,1),(98,1),(103,1),(144,1),(148,1)}
        74:{1,4,6,7}:{(51,1),(52,1),(98,1),(99,1),(173,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(57,1),(99,1),(100,1)}
        76:{3,4,5,6}:{(53,1),(100,1),(186,1)}
        77:{1,3,5,6,7}:{(54,1),(58,1),(97,1),(101,1),(104,1),(143,1)}
        78:{2,4,6,7}:{(55,1),(56,1),(62,1),(103,1),(109,1)}
        79:{1,3,5,7}:{(56,1),(57,1),(99,1),(103,1),(104,1),(144,1)}
        80:{2,3,5,6}:{(57,1),(65,1),(100,1),(104,1)}
        81:{2,4,6,7}:{(58,1),(59,1),(101,1),(105,1),(109,1)}
        82:{2,3,5,7}:{(59,1),(60,1),(92,1),(105,1),(106,1)}
        83:{2,3,4,6}:{(60,1),(93,1),(106,1),(107,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(94,1),(108,1)}
        85:{2,3,5}:{(61,1),(63,1),(95,1)}
        86:{2,4,5,7}:{(62,1),(63,1),(64,1),(103,1),(108,1),(109,1)}
        87:{1,3,4,6}:{(64,1),(65,1),(104,1),(109,1),(142,1),(173,1),(176,1)}
        88:{2,3,5,6}:{(68,1),(110,1),(111,1),(113,1),(155,1),(182,1)}
        89:{2,3,4,6}:{(69,1),(111,1),(112,1),(113,1),(155,1)}
        90:{1,2,4,6,7}:{(66,1),(70,1),(78,1),(115,1),(116,1),(121,1),(153,1)}
        91:{1,2,4,6,7}:{(67,1),(81,1),(114,1),(117,1),(121,1),(153,1),(156,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(82,1),(110,1),(117,1),(118,1)}
        93:{1,3,4,6}:{(68,1),(83,1),(111,1),(118,1),(119,1)}
        94:{1,3,4,7}:{(69,1),(70,1),(84,1),(112,1),(120,1)}
        95:{1,3,5}:{(69,1),(71,1),(85,1),(113,1)}
        96:{1,2,4,5,7}:{(70,1),(71,1),(86,1),(116,1),(120,1),(121,1),(154,1),(157,1)}
        97:{1,4,5,6,7}:{(72,1),(77,1),(122,1),(125,1),(156,1)}
        98:{2,4,6,7}:{(73,1),(74,1),(123,1),(124,1),(165,1)}
        99:{1,4,5,7}:{(74,1),(75,1),(79,1),(124,1),(125,1)}
       100:{2,4,5,6}:{(75,1),(76,1),(80,1),(125,1),(181,1)}
       101:{2,5,6,7}:{(77,1),(81,1),(128,1)}
       102:{2,3,4,6,7}:{(78,1),(84,1),(115,1),(123,1),(127,1),(131,1),(165,1)}
       103:{2,5,7}:{(78,1),(79,1),(128,1)}
       104:{1,3,5,6}:{(79,1),(80,1),(87,1),(125,1),(128,1),(163,1)}
       105:{2,3,6,7}:{(81,1),(82,1),(117,1),(131,1)}
       106:{2,3,4,7}:{(82,1),(83,1),(118,1)}
       107:{2,3,4,5}:{(83,1),(85,1),(119,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(86,1),(120,1),(131,1)}
       109:{2,4,6}:{(86,1),(87,1),(128,1),(131,1)}
       110:{2,3,5,7}:{(88,1),(92,1),(133,1),(134,1),(170,1)}
       111:{2,4,6}:{(88,1),(93,1),(134,1),(135,1)}
       112:{2,3,4,7}:{(89,1),(94,1),(134,1),(136,1)}
       113:{2,3,5}:{(89,1),(95,1),(135,1)}
       114:{1,2,5,6,7}:{(91,1),(101,1),(137,1),(139,1),(170,1)}
       115:{1,3,4,6,7}:{(90,1),(94,1),(102,1),(132,1),(138,1),(142,1),(173,1)}
       116:{1,2,5,7}:{(90,1),(103,1),(138,1),(139,1),(170,1)}
       117:{1,3,6,7}:{(91,1),(92,1),(105,1),(133,1),(142,1)}
       118:{1,3,4,7}:{(92,1),(93,1),(106,1),(134,1)}
       119:{1,3,4,5}:{(93,1),(95,1),(107,1),(135,1)}
       120:{1,3,5,7}:{(94,1),(95,1),(96,1),(108,1),(136,1),(142,1)}
       121:{1,2,4,6}:{(96,1),(109,1),(139,1),(142,1),(171,1),(173,1)}
       122:{2,4,5,6,7}:{(97,1),(101,1),(143,1),(145,1),(146,1)}
       123:{3,4,6,7}:{(98,1),(144,1),(176,1)}
       124:{2,4,5,7}:{(98,1),(99,1),(103,1),(144,1),(145,1)}
       125:{1,4,5,6}:{(99,1),(100,1),(104,1),(145,1),(173,1)}
       126:{2,3,5,6,7}:{(101,1),(105,1),(137,1),(143,1),(146,1),(148,1),(149,1)}
       127:{2,3,5,7}:{(102,1),(103,1),(138,1),(144,1),(147,1),(148,1)}
       128:{2,5,6}:{(103,1),(104,1),(109,1)}
       129:{2,3,4,6,7}:{(105,1),(106,1),(140,1),(146,1),(149,1),(150,1)}
       130:{2,3,4,5,7}:{(106,1),(107,1),(108,1),(141,1),(147,1),(149,1),(150,1)}
       131:{2,3,6}:{(108,1),(109,1),(142,1)}
       132:{2,3,4,6,7}:{(112,1),(115,1),(152,1),(153,1),(155,1),(178,1),(181,1)}
       133:{2,3,6,7}:{(110,1),(117,1),(153,1),(155,1)}
       134:{2,4,7}:{(110,1),(111,1),(118,1)}
       135:{2,4,5}:{(111,1),(113,1),(119,1)}
       136:{2,3,5,7}:{(112,1),(113,1),(120,1),(154,1),(155,1)}
       137:{1,3,5,6,7}:{(114,1),(117,1),(126,1),(151,1),(156,1),(158,1),(159,1)}
       138:{1,3,5,7}:{(115,1),(116,1),(127,1),(152,1),(157,1),(158,1)}
       139:{1,2,5,6}:{(116,1),(121,1),(128,1),(158,1),(182,1)}
       140:{1,3,4,6,7}:{(117,1),(118,1),(129,1),(153,1),(156,1),(159,1),(160,1),(178,1)}
       141:{1,3,4,5,7}:{(118,1),(119,1),(120,1),(130,1),(154,1),(157,1),(159,1),(160,1),(179,1)}
       142:{1,3,6}:{(120,1),(121,1),(131,1),(155,1)}
       143:{3,5,6,7}:{(122,1),(161,1),(163,1)}
       144:{3,5,7}:{(123,1),(124,1),(163,1)}
       145:{2,4,5,6}:{(124,1),(125,1),(128,1),(163,1),(165,1)}
       146:{2,4,6,7}:{(126,1),(156,1),(161,1),(164,1),(165,1)}
       147:{2,4,5,7}:{(127,1),(157,1),(162,1),(165,1)}
       148:{2,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(163,1),(165,1)}
       149:{2,3,5,7}:{(129,1),(159,1),(164,1),(166,1)}
       150:{2,3,4,6}:{(130,1),(131,1),(160,1),(165,1),(166,1)}
       151:{2,3,5,6,7}:{(133,1),(137,1),(167,1),(169,1),(170,1),(185,1)}
       152:{2,3,5,7}:{(132,1),(138,1),(168,1),(169,1),(170,1),(185,1)}
       153:{2,4,6,7}:{(133,1),(134,1),(140,1),(170,1),(171,1)}
       154:{2,4,5,7}:{(134,1),(135,1),(136,1),(141,1),(170,1),(171,1)}
       155:{2,3,6}:{(136,1),(142,1),(171,1)}
       156:{1,4,6,7}:{(137,1),(146,1),(167,1),(172,1),(173,1)}
       157:{1,4,5,7}:{(138,1),(147,1),(168,1),(173,1)}
       158:{1,3,5,6}:{(138,1),(139,1),(142,1),(148,1),(169,1),(173,1)}
       159:{1,3,5,7}:{(140,1),(149,1),(170,1),(172,1),(174,1),(185,1)}
       160:{1,3,4,6}:{(141,1),(142,1),(150,1),(171,1),(173,1),(174,1),(186,1)}
       161:{3,4,6,7}:{(143,1),(146,1),(175,1),(176,1)}
       162:{3,4,5,7}:{(144,1),(147,1),(176,1)}
       163:{3,5,6}:{(144,1),(145,1),(176,1)}
       164:{2,4,5,7}:{(146,1),(149,1),(172,1),(175,1),(177,1)}
       165:{2,4,6}:{(147,1),(148,1),(173,1),(176,1)}
       166:{2,3,5,6}:{(149,1),(150,1),(174,1),(177,1)}
       167:{2,4,6,7}:{(151,1),(156,1),(178,1),(180,1),(181,1)}
       168:{2,4,5,7}:{(152,1),(157,1),(179,1),(181,1)}
       169:{2,3,5,6}:{(152,1),(155,1),(158,1),(181,1),(182,1),(188,1)}
       170:{2,5,7}:{(153,1),(159,1),(182,1)}
       171:{2,4,6}:{(154,1),(155,1),(160,1),(182,1)}
       172:{1,4,5,7}:{(156,1),(159,1),(164,1),(180,1),(183,1)}
       173:{1,4,6}:{(157,1),(158,1),(165,1),(181,1)}
       174:{1,3,5,6}:{(159,1),(160,1),(166,1),(182,1),(183,1),(188,1)}
       175:{3,4,5,7}:{(161,1),(164,1),(184,1)}
       176:{3,4,6}:{(162,1),(163,1),(165,1)}
       177:{2,4,5,6}:{(164,1),(165,1),(166,1),(183,1),(184,1)}
       178:{3,4,6,7}:{(167,1),(185,1),(186,1)}
       179:{3,4,5,7}:{(168,1),(185,1),(186,1)}
       180:{2,4,5,7}:{(167,1),(170,1),(172,1),(185,1),(187,1)}
       181:{2,4,6}:{(168,1),(169,1),(173,1),(186,1)}
       182:{2,5,6}:{(170,1),(171,1),(174,1)}
       183:{1,4,5,6}:{(172,1),(173,1),(174,1),(177,1),(187,1)}
       184:{3,4,5,6}:{(175,1),(176,1),(177,1)}
       185:{3,5,7}:{(178,1),(180,1),(188,1)}
       186:{3,4,6}:{(179,1),(181,1),(188,1)}
       187:{2,4,5,6}:{(180,1),(181,1),(182,1),(183,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2784 :   0:{3,4,5,6,7}:{(1,1),(81,1),(163,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(61,1),(175,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(35,1),(103,1),(114,1),(155,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(169,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(44,1),(183,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(51,1),(82,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(46,1),(83,1),(132,1),(168,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(57,1),(61,1),(155,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(178,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(31,1),(187,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(16,1),(32,1),(36,1),(62,1)}
        11:{2,4,5,6}:{(6,1),(16,1),(17,1),(149,1),(177,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(40,1),(44,1),(168,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(184,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(188,1)}
        15:{1,2,4,5,6}:{(11,1),(23,1),(24,1),(52,1),(83,1),(88,1),(122,1),(134,1)}
        16:{2,4,5,7}:{(10,1),(11,1),(18,1),(25,1)}
        17:{2,3,5,6}:{(11,1),(24,1),(25,1),(26,1),(129,1),(166,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(16,1),(28,1),(177,1)}
        19:{1,2,5,6,7}:{(13,1),(27,1),(30,1),(99,1),(141,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(28,1),(30,1),(31,1),(59,1),(172,1)}
        21:{3,4,6,7}:{(14,1),(31,1),(32,1),(186,1)}
        22:{2,3,4,5,6}:{(33,1),(34,1),(39,1),(74,1),(104,1),(187,1)}
        23:{1,2,4,5,7}:{(15,1),(16,1),(27,1),(36,1),(62,1),(71,1),(99,1)}
        24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(37,1),(110,1),(153,1)}
        25:{2,3,5,7}:{(16,1),(17,1),(28,1),(36,1),(38,1)}
        26:{2,3,4,6}:{(17,1),(37,1),(38,1),(39,1)}
        27:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(40,1),(44,1),(77,1),(134,1)}
        28:{2,3,6,7}:{(18,1),(25,1),(40,1),(166,1)}
        29:{3,4,5,6,7}:{(42,1),(46,1),(179,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(44,1),(78,1),(160,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(182,1)}
        32:{3,4,5,7}:{(21,1),(45,1),(46,1)}
        33:{2,3,4,5,7}:{(22,1),(48,1),(49,1),(126,1),(181,1)}
        34:{1,3,4,5,6}:{(22,1),(49,1),(50,1),(54,1),(85,1),(95,1),(163,1),(183,1)}
        35:{2,3,5,6}:{(24,1),(51,1),(52,1),(93,1),(122,1),(137,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(40,1),(51,1),(53,1)}
        37:{1,3,4,6}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{2,3,4,7}:{(25,1),(26,1),(53,1)}
        39:{2,3,4,5}:{(26,1),(54,1),(129,1)}
        40:{1,3,6,7}:{(27,1),(28,1),(36,1),(57,1),(153,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(38,1),(58,1),(59,1),(74,1)}
        42:{2,4,5,6,7}:{(29,1),(56,1),(60,1),(63,1),(170,1)}
        43:{2,3,5,6,7}:{(30,1),(57,1),(61,1),(99,1),(102,1),(144,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(61,1),(62,1),(174,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(59,1),(62,1),(63,1)}
        46:{3,4,5,6}:{(32,1),(63,1),(186,1)}
        47:{1,2,3,5,6}:{(35,1),(65,1),(66,1),(104,1),(110,1),(141,1),(153,1)}
        48:{2,3,4,6,7}:{(33,1),(56,1),(67,1),(74,1),(147,1),(170,1)}
        49:{1,3,4,5,7}:{(33,1),(34,1),(67,1),(68,1),(107,1),(145,1),(173,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1),(72,1),(116,1)}
        51:{2,3,5,7}:{(35,1),(36,1),(57,1),(71,1),(99,1)}
        52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1)}
        53:{1,3,4,7}:{(36,1),(37,1),(38,1),(71,1)}
        54:{1,3,4,5}:{(37,1),(39,1),(72,1),(110,1)}
        55:{2,3,4,5,7}:{(38,1),(39,1),(59,1),(73,1),(74,1),(150,1),(171,1)}
        56:{2,3,5,6,7}:{(42,1),(48,1),(76,1),(79,1)}
        57:{2,3,6,7}:{(40,1),(51,1),(77,1),(137,1)}
        58:{1,3,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(77,1),(78,1),(81,1),(95,1)}
        59:{2,3,5,7}:{(41,1),(45,1),(78,1),(79,1)}
        60:{1,4,5,6,7}:{(42,1),(76,1),(80,1),(83,1),(158,1)}
        61:{2,4,6,7}:{(43,1),(44,1),(81,1),(82,1),(162,1)}
        62:{1,4,5,7}:{(44,1),(45,1),(78,1),(82,1),(83,1)}
        63:{2,4,5,6}:{(45,1),(46,1),(79,1),(83,1),(182,1)}
        64:{1,2,4,5,6}:{(50,1),(84,1),(85,1),(88,1),(127,1),(134,1),(183,1),(184,1)}
        65:{1,2,3,5,7}:{(47,1),(51,1),(75,1),(87,1),(119,1),(126,1),(133,1)}
        66:{1,2,4,6}:{(47,1),(52,1),(86,1),(87,1),(88,1),(127,1)}
        67:{1,3,4,6,7}:{(48,1),(49,1),(76,1),(89,1),(95,1),(123,1),(130,1),(158,1)}
        68:{2,4,5,7}:{(49,1),(50,1),(89,1),(90,1)}
        69:{2,3,5,6}:{(50,1),(85,1),(90,1),(91,1),(93,1),(137,1)}
        70:{2,3,4,6}:{(52,1),(86,1),(92,1),(93,1),(137,1)}
        71:{2,4,7}:{(51,1),(52,1),(53,1)}
        72:{2,4,5}:{(52,1),(54,1),(93,1)}
        73:{1,3,4,5,7}:{(53,1),(54,1),(55,1),(78,1),(94,1),(95,1),(124,1),(133,1),(159,1)}
        74:{2,3,4,6}:{(55,1),(79,1),(95,1),(166,1),(182,1)}
        75:{1,2,3,6,7}:{(57,1),(65,1),(96,1),(147,1),(153,1)}
        76:{1,3,5,6,7}:{(56,1),(60,1),(67,1),(97,1),(100,1),(101,1)}
        77:{2,4,6,7}:{(57,1),(58,1),(71,1),(99,1),(116,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(62,1),(99,1),(100,1),(102,1)}
        79:{2,3,5,6}:{(59,1),(63,1),(74,1),(100,1)}
        80:{2,4,5,6,7}:{(60,1),(97,1),(101,1),(103,1),(142,1)}
        81:{3,4,6,7}:{(61,1),(102,1),(146,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(99,1),(102,1),(103,1)}
        83:{1,4,5,6}:{(62,1),(63,1),(100,1),(103,1),(174,1)}
        84:{1,2,4,5,7}:{(64,1),(68,1),(106,1),(107,1),(148,1),(173,1),(176,1)}
        85:{1,3,5,6}:{(64,1),(69,1),(104,1),(107,1),(108,1),(110,1),(153,1)}
        86:{1,3,4,6}:{(66,1),(70,1),(105,1),(109,1),(110,1),(153,1)}
        87:{1,2,4,7}:{(65,1),(66,1),(71,1),(109,1),(148,1)}
        88:{1,2,4,5}:{(66,1),(72,1),(110,1),(149,1)}
        89:{2,4,6,7}:{(67,1),(68,1),(97,1),(112,1),(116,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(112,1),(113,1)}
        91:{2,3,4,6}:{(69,1),(108,1),(113,1),(114,1)}
        92:{2,3,4,7}:{(70,1),(71,1),(109,1),(115,1)}
        93:{2,3,5}:{(70,1),(72,1),(110,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(99,1),(115,1),(116,1)}
        95:{1,3,4,6}:{(73,1),(74,1),(100,1),(116,1),(146,1),(153,1),(174,1)}
        96:{1,2,4,6,7}:{(75,1),(77,1),(87,1),(118,1),(119,1),(134,1),(164,1)}
        97:{2,5,6,7}:{(76,1),(89,1),(122,1)}
        98:{2,3,4,6,7}:{(77,1),(81,1),(92,1),(118,1),(121,1),(137,1),(162,1)}
        99:{2,5,7}:{(77,1),(78,1),(122,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(83,1),(95,1),(122,1),(125,1)}
       101:{3,5,6,7}:{(80,1),(123,1),(125,1)}
       102:{3,5,7}:{(81,1),(82,1),(125,1)}
       103:{2,4,5,6}:{(82,1),(83,1),(122,1),(125,1),(162,1)}
       104:{2,3,5,6}:{(85,1),(126,1),(127,1),(129,1),(166,1),(184,1)}
       105:{2,3,4,6}:{(86,1),(127,1),(128,1),(129,1),(166,1)}
       106:{1,2,4,6,7}:{(84,1),(89,1),(117,1),(130,1),(134,1),(158,1),(164,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(90,1),(126,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(85,1),(91,1),(127,1),(131,1),(132,1)}
       109:{1,3,4,7}:{(86,1),(87,1),(92,1),(128,1),(133,1)}
       110:{1,3,5}:{(86,1),(88,1),(93,1),(129,1)}
       111:{1,2,4,5,7}:{(87,1),(88,1),(94,1),(119,1),(133,1),(134,1),(159,1),(165,1)}
       112:{2,3,6,7}:{(89,1),(90,1),(130,1),(137,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(131,1)}
       114:{2,3,4,5}:{(91,1),(93,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(94,1),(133,1),(137,1)}
       116:{2,4,6}:{(94,1),(95,1),(122,1),(137,1)}
       117:{1,2,5,6,7}:{(97,1),(106,1),(139,1),(141,1),(176,1)}
       118:{1,3,4,6,7}:{(96,1),(98,1),(109,1),(138,1),(140,1),(153,1),(174,1)}
       119:{1,2,5,7}:{(96,1),(99,1),(140,1),(141,1),(176,1)}
       120:{2,3,5,6,7}:{(97,1),(101,1),(112,1),(139,1),(142,1),(144,1),(154,1)}
       121:{2,3,5,7}:{(98,1),(99,1),(102,1),(140,1),(143,1),(144,1)}
       122:{2,5,6}:{(99,1),(100,1),(116,1)}
       123:{3,4,6,7}:{(101,1),(142,1),(145,1),(146,1)}
       124:{3,4,5,7}:{(102,1),(143,1),(146,1)}
       125:{3,5,6}:{(102,1),(103,1),(146,1)}
       126:{2,3,5,7}:{(104,1),(107,1),(147,1),(148,1),(176,1)}
       127:{2,4,6}:{(104,1),(108,1),(148,1),(149,1)}
       128:{2,3,4,7}:{(105,1),(109,1),(148,1),(150,1)}
       129:{2,3,5}:{(105,1),(110,1),(149,1)}
       130:{1,3,6,7}:{(106,1),(107,1),(112,1),(147,1),(153,1)}
       131:{1,3,4,7}:{(107,1),(108,1),(113,1),(148,1)}
       132:{1,3,4,5}:{(108,1),(110,1),(114,1),(149,1)}
       133:{1,3,5,7}:{(109,1),(110,1),(111,1),(115,1),(150,1),(153,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(141,1),(153,1),(174,1),(177,1)}
       135:{2,3,4,6,7}:{(112,1),(113,1),(142,1),(151,1),(154,1),(155,1)}
       136:{2,3,4,5,7}:{(113,1),(114,1),(115,1),(143,1),(152,1),(154,1),(155,1)}
       137:{2,3,6}:{(115,1),(116,1),(153,1)}
       138:{2,3,4,6,7}:{(118,1),(128,1),(157,1),(164,1),(166,1),(179,1),(182,1)}
       139:{1,3,5,6,7}:{(117,1),(120,1),(130,1),(156,1),(158,1),(160,1),(167,1)}
       140:{1,3,5,7}:{(118,1),(119,1),(121,1),(157,1),(159,1),(160,1)}
       141:{1,2,5,6}:{(119,1),(122,1),(134,1),(160,1),(184,1)}
       142:{2,4,6,7}:{(120,1),(123,1),(158,1),(161,1),(162,1)}
       143:{2,4,5,7}:{(121,1),(124,1),(159,1),(162,1)}
       144:{2,3,5,6}:{(121,1),(122,1),(125,1),(137,1),(160,1),(162,1)}
       145:{3,4,5,7}:{(123,1),(161,1),(163,1)}
       146:{3,4,6}:{(124,1),(125,1),(162,1)}
       147:{2,3,6,7}:{(126,1),(130,1),(164,1),(166,1)}
       148:{2,4,7}:{(126,1),(127,1),(131,1)}
       149:{2,4,5}:{(127,1),(129,1),(132,1)}
       150:{2,3,5,7}:{(128,1),(129,1),(133,1),(165,1),(166,1)}
       151:{1,3,4,6,7}:{(130,1),(131,1),(135,1),(158,1),(164,1),(167,1),(168,1),(179,1)}
       152:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(159,1),(165,1),(167,1),(168,1),(180,1)}
       153:{1,3,6}:{(133,1),(134,1),(137,1),(166,1)}
       154:{2,3,5,7}:{(135,1),(161,1),(167,1),(169,1)}
       155:{2,3,4,6}:{(136,1),(137,1),(162,1),(168,1),(169,1)}
       156:{2,3,5,6,7}:{(139,1),(147,1),(170,1),(172,1),(176,1),(185,1)}
       157:{2,3,5,7}:{(138,1),(140,1),(171,1),(172,1),(176,1),(185,1)}
       158:{1,4,6,7}:{(139,1),(142,1),(170,1),(173,1),(174,1)}
       159:{1,4,5,7}:{(140,1),(143,1),(171,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(144,1),(153,1),(172,1),(174,1)}
       161:{2,4,5,7}:{(142,1),(145,1),(154,1),(173,1),(175,1)}
       162:{2,4,6}:{(143,1),(144,1),(146,1),(174,1)}
       163:{3,4,5,6}:{(145,1),(146,1),(175,1)}
       164:{2,4,6,7}:{(147,1),(148,1),(151,1),(176,1),(177,1)}
       165:{2,4,5,7}:{(148,1),(149,1),(150,1),(152,1),(176,1),(177,1)}
       166:{2,3,6}:{(150,1),(153,1),(177,1)}
       167:{1,3,5,7}:{(151,1),(154,1),(173,1),(176,1),(178,1),(185,1)}
       168:{1,3,4,6}:{(152,1),(153,1),(155,1),(174,1),(177,1),(178,1),(186,1)}
       169:{2,3,5,6}:{(154,1),(155,1),(175,1),(178,1)}
       170:{2,4,6,7}:{(156,1),(158,1),(179,1),(181,1),(182,1)}
       171:{2,4,5,7}:{(157,1),(159,1),(180,1),(182,1)}
       172:{2,3,5,6}:{(157,1),(160,1),(166,1),(182,1),(184,1),(188,1)}
       173:{1,4,5,7}:{(158,1),(161,1),(167,1),(181,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(162,1),(182,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(163,1),(169,1),(183,1)}
       176:{2,5,7}:{(164,1),(167,1),(184,1)}
       177:{2,4,6}:{(165,1),(166,1),(168,1),(184,1)}
       178:{1,3,5,6}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       179:{3,4,6,7}:{(170,1),(185,1),(186,1)}
       180:{3,4,5,7}:{(171,1),(185,1),(186,1)}
       181:{2,4,5,7}:{(170,1),(173,1),(176,1),(185,1),(187,1)}
       182:{2,4,6}:{(171,1),(172,1),(174,1),(186,1)}
       183:{1,4,5,6}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{2,5,6}:{(176,1),(177,1),(178,1)}
       185:{3,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,4,6}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,6}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2785 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2786 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(19,1),(59,1),(62,1),(81,1),(84,1),(86,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(28,1),(49,1),(75,1),(94,1),(98,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(36,1),(59,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(20,1),(36,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(90,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(11,1),(47,1),(74,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(28,1),(46,1),(69,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(11,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(28,1),(49,1),(76,1),(80,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(19,1),(35,1),(59,1),(62,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(86,1)}
        12:{1,3,4,5,7}:{(7,1),(18,1),(20,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(40,1),(64,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(24,1),(47,1),(73,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(28,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(29,1),(47,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(69,1),(76,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(28,1),(31,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(49,1),(52,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(18,1),(34,1),(57,1),(83,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(34,1),(35,1),(36,1),(59,1),(85,1)}
        25:{2,3,4,6,7}:{(16,1),(35,1),(37,1),(39,1),(62,1),(85,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(36,1),(40,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(41,1),(59,1)}
        28:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(41,1),(64,1)}
        30:{2,3,4,5,7}:{(20,1),(35,1),(39,1),(42,1),(67,1),(85,1),(100,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(41,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(64,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(28,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(45,1),(47,1)}
        36:{1,4,5,7}:{(24,1),(26,1),(46,1),(47,1),(94,1)}
        37:{1,3,4,6,7}:{(25,1),(26,1),(47,1),(49,1),(50,1),(51,1),(73,1),(74,1),(94,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(48,1),(49,1),(50,1),(52,1)}
        39:{2,3,4,6}:{(28,1),(30,1),(45,1),(51,1),(76,1),(92,1)}
        40:{1,4,6}:{(28,1),(29,1),(31,1)}
        41:{1,2,5,6}:{(29,1),(32,1),(52,1),(69,1)}
        42:{1,3,4,5,7}:{(30,1),(31,1),(47,1),(51,1),(54,1),(55,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(52,1),(54,1),(55,1),(56,1),(78,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(53,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(39,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(40,1),(57,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(36,1),(37,1),(57,1),(59,1)}
        48:{1,2,4,5,7}:{(36,1),(38,1),(58,1),(59,1),(60,1),(85,1)}
        49:{2,4,6,7}:{(37,1),(59,1),(62,1),(63,1),(85,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(64,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(42,1),(57,1),(63,1),(64,1),(86,1),(99,1)}
        52:{1,2,4,6}:{(40,1),(41,1),(43,1),(63,1),(64,1)}
        53:{1,2,3,5,6}:{(41,1),(44,1),(64,1),(65,1),(82,1),(88,1)}
        54:{2,4,5,7}:{(42,1),(59,1),(63,1),(67,1),(85,1),(100,1)}
        55:{1,3,5,7}:{(43,1),(64,1),(67,1),(68,1),(88,1)}
        56:{1,2,4,7}:{(44,1),(65,1),(68,1),(85,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(52,1),(69,1),(70,1),(78,1),(92,1)}
        59:{2,5,7}:{(47,1),(49,1),(69,1)}
        60:{1,3,5,7}:{(48,1),(50,1),(70,1),(72,1),(73,1)}
        61:{1,2,4,6,7}:{(49,1),(71,1),(74,1),(75,1),(94,1)}
        62:{2,3,6,7}:{(49,1),(50,1),(72,1),(74,1),(76,1)}
        63:{2,4,6}:{(51,1),(54,1),(69,1),(76,1)}
        64:{1,3,6}:{(52,1),(55,1),(76,1)}
        65:{1,2,4,6}:{(53,1),(56,1),(77,1),(78,1),(92,1)}
        66:{1,2,4,5,7}:{(54,1),(71,1),(75,1),(79,1),(94,1),(98,1),(103,1),(104,1)}
        67:{2,3,5,7}:{(54,1),(55,1),(76,1),(79,1),(80,1),(97,1)}
        68:{1,3,4,7}:{(55,1),(56,1),(77,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(63,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(64,1),(82,1),(83,1),(88,1)}
        71:{1,2,5,7}:{(59,1),(61,1),(81,1),(84,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(84,1),(85,1)}
        73:{1,3,4,7}:{(60,1),(83,1),(85,1)}
        74:{1,3,6,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{1,2,4,6}:{(63,1),(66,1),(81,1),(86,1),(99,1)}
        76:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        77:{1,3,4,6}:{(64,1),(65,1),(68,1),(87,1),(88,1)}
        78:{1,2,4,5}:{(65,1),(88,1),(100,1)}
        79:{1,3,5,7}:{(66,1),(67,1),(86,1),(90,1),(102,1)}
        80:{2,3,4,7}:{(67,1),(68,1),(85,1),(87,1),(90,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(76,1),(91,1),(92,1),(97,1)}
        83:{1,3,4,6}:{(70,1),(73,1),(92,1),(93,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(91,1),(94,1)}
        85:{2,4,7}:{(72,1),(73,1),(92,1),(94,1)}
        86:{1,3,6}:{(75,1),(76,1),(79,1)}
        87:{2,3,4,6}:{(76,1),(77,1),(80,1),(92,1),(96,1),(97,1)}
        88:{1,3,5}:{(77,1),(78,1),(97,1)}
        89:{1,2,3,5,7}:{(79,1),(95,1),(98,1),(104,1)}
        90:{1,3,4,7}:{(79,1),(80,1),(94,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(86,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(88,1),(100,1)}
        94:{1,4,7}:{(84,1),(85,1),(99,1)}
        95:{1,2,3,6}:{(86,1),(89,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(90,1),(99,1),(101,1),(102,1)}
        97:{2,3,5}:{(87,1),(88,1),(100,1),(102,1)}
        98:{1,2,4,7}:{(89,1),(90,1),(101,1)}
        99:{1,4,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(97,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2787 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(76,1),(134,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(93,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(110,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(94,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(35,1),(115,1),(122,1),(127,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(45,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(38,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(122,1),(128,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(45,1),(70,1),(100,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(45,1),(106,1),(114,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(33,1),(35,1),(122,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(37,1),(38,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(33,1),(38,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(37,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(38,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(58,1),(90,1),(99,1)}
        33:{1,3,4,6,7}:{(24,1),(26,1),(45,1)}
        34:{1,2,3,4,6,7}:{(27,1),(46,1),(55,1),(74,1),(83,1),(108,1)}
        35:{2,3,5,6,7}:{(24,1),(29,1),(45,1),(47,1),(100,1),(106,1)}
        36:{2,3,4,5,6}:{(25,1),(48,1),(49,1),(79,1),(130,1)}
        37:{1,4,5,6}:{(25,1),(28,1),(51,1)}
        38:{2,4,5,7}:{(25,1),(26,1),(29,1),(45,1),(51,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(51,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(33,1),(56,1),(84,1),(118,1)}
        45:{2,4,6,7}:{(33,1),(35,1),(38,1),(58,1)}
        46:{1,2,3,5,7}:{(34,1),(39,1),(59,1),(60,1),(125,1)}
        47:{1,3,5,6,7}:{(35,1),(41,1),(58,1),(61,1),(90,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(62,1),(63,1),(65,1),(95,1),(139,1)}
        49:{2,3,4,5,7}:{(36,1),(38,1),(57,1),(63,1),(98,1),(141,1)}
        50:{1,2,4,5,6}:{(37,1),(40,1),(62,1),(65,1),(66,1),(67,1)}
        51:{1,4,5,7}:{(37,1),(38,1),(41,1),(58,1)}
        52:{1,2,4,5}:{(39,1),(64,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(90,1)}
        56:{2,4,5,6,7}:{(44,1),(45,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(45,1),(49,1),(69,1),(71,1),(106,1),(131,1)}
        58:{1,4,6,7}:{(45,1),(47,1),(51,1)}
        59:{1,2,4,5,7}:{(46,1),(52,1),(72,1),(74,1),(83,1)}
        60:{1,2,3,5,6}:{(46,1),(74,1),(107,1)}
        61:{1,2,5,6,7}:{(47,1),(54,1),(73,1),(100,1)}
        62:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        63:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(71,1),(80,1),(82,1),(113,1),(145,1)}
        64:{1,3,4,5}:{(52,1),(78,1),(81,1)}
        65:{1,3,5,6}:{(50,1),(79,1),(81,1),(82,1)}
        66:{1,2,4,5,7}:{(50,1),(51,1),(54,1),(73,1),(80,1),(82,1),(83,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(81,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(58,1),(84,1),(140,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(63,1),(84,1),(88,1),(90,1),(122,1),(140,1)}
        72:{1,3,4,5,7}:{(59,1),(64,1),(87,1),(89,1),(99,1),(125,1)}
        73:{1,2,4,6,7}:{(58,1),(61,1),(66,1),(88,1),(90,1)}
        74:{1,2,4,6}:{(59,1),(60,1),(89,1)}
        75:{1,2,3,5,6,7}:{(60,1),(61,1),(68,1),(90,1),(92,1),(116,1),(125,1)}
        76:{1,2,3,4,6}:{(86,1),(93,1),(120,1),(126,1)}
        77:{1,2,4,5,6}:{(62,1),(95,1),(96,1),(126,1),(139,1),(142,1)}
        78:{2,3,4,5}:{(64,1),(94,1),(97,1)}
        79:{2,3,5,6}:{(62,1),(65,1),(95,1),(97,1),(98,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(88,1),(98,1)}
        81:{1,3,4,6}:{(64,1),(65,1),(67,1),(97,1),(99,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(90,1),(98,1),(99,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(99,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(71,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(73,1),(100,1),(101,1),(109,1),(131,1)}
        86:{1,2,3,4,7}:{(76,1),(102,1),(138,1)}
        87:{2,3,4,5,7}:{(72,1),(78,1),(103,1),(105,1),(114,1),(137,1)}
        88:{2,4,6,7}:{(71,1),(80,1),(100,1),(106,1)}
        89:{1,3,4,6}:{(72,1),(74,1),(105,1),(107,1)}
        90:{1,3,6,7}:{(73,1),(82,1),(106,1)}
        91:{1,2,4,5,6}:{(74,1),(107,1),(109,1),(130,1)}
        92:{1,2,4,6,7}:{(74,1),(75,1),(83,1),(108,1),(109,1),(131,1)}
        93:{1,2,3,5}:{(76,1),(110,1)}
        94:{1,3,4,5}:{(78,1),(110,1),(112,1)}
        95:{1,3,5,6}:{(77,1),(79,1),(112,1),(113,1)}
        96:{1,2,4,5,7}:{(77,1),(80,1),(104,1),(113,1),(138,1),(145,1),(146,1)}
        97:{2,3,4,6}:{(78,1),(79,1),(81,1),(112,1),(114,1)}
        98:{2,3,5,7}:{(79,1),(80,1),(82,1),(106,1),(113,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(83,1),(114,1)}
       100:{2,5,6,7}:{(84,1),(88,1)}
       101:{1,3,5,6,7}:{(85,1),(90,1),(116,1),(118,1),(125,1)}
       102:{1,2,3,5,7}:{(86,1),(93,1),(119,1),(120,1)}
       103:{1,3,4,5,7}:{(87,1),(94,1),(119,1),(121,1),(128,1),(144,1)}
       104:{1,2,4,6,7}:{(88,1),(96,1),(115,1),(122,1),(140,1)}
       105:{2,3,4,6}:{(87,1),(89,1),(121,1),(123,1)}
       106:{2,3,6,7}:{(88,1),(90,1),(98,1),(122,1)}
       107:{1,3,5,6}:{(89,1),(91,1),(123,1),(125,1)}
       108:{1,3,4,6,7}:{(89,1),(90,1),(92,1),(99,1),(124,1),(125,1)}
       109:{1,2,4,5,7}:{(91,1),(92,1),(125,1),(141,1)}
       110:{1,2,4,5}:{(93,1),(94,1),(126,1)}
       111:{1,2,3,5,6}:{(93,1),(95,1),(120,1),(126,1),(127,1),(142,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(97,1),(126,1),(128,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(122,1),(128,1)}
       114:{2,3,4,7}:{(97,1),(98,1),(99,1),(128,1)}
       115:{1,2,5,6,7}:{(100,1),(104,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(129,1),(131,1),(137,1)}
       117:{1,3,4,5,6}:{(107,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(110,1),(133,1),(138,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,3,4,6}:{(103,1),(105,1),(133,1),(135,1)}
       122:{1,3,6,7}:{(104,1),(106,1),(113,1)}
       123:{2,3,5,6}:{(105,1),(107,1),(130,1),(135,1),(137,1)}
       124:{2,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(131,1),(136,1),(137,1)}
       125:{1,3,5,7}:{(107,1),(108,1),(109,1),(137,1)}
       126:{1,2,4,6}:{(110,1),(111,1),(112,1),(138,1)}
       127:{1,2,3,5,7}:{(111,1),(113,1),(134,1),(138,1),(146,1)}
       128:{1,3,4,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(122,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(123,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(125,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(121,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(127,1),(143,1)}
       135:{1,3,5,6}:{(121,1),(123,1),(139,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(128,1),(140,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(123,1),(124,1),(125,1),(141,1),(144,1)}
       138:{1,2,4,7}:{(126,1),(127,1),(128,1)}
       139:{1,4,5,6}:{(130,1),(135,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(137,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2788 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(93,1),(122,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(110,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(124,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(104,1),(107,1),(111,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(123,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(98,1),(99,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(111,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(85,1),(86,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(65,1),(90,1),(94,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(97,1),(98,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(111,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(84,1),(85,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(42,1),(43,1),(69,1),(141,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(90,1),(97,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(32,1),(52,1),(77,1),(106,1)}
        42:{2,3,4,5,7}:{(31,1),(33,1),(53,1),(54,1),(82,1),(132,1)}
        43:{1,3,4,5,6}:{(31,1),(34,1),(54,1),(55,1),(58,1),(80,1),(145,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(55,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(84,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(84,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(44,1),(64,1),(65,1),(90,1),(120,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(67,1),(97,1),(120,1)}
        54:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(67,1),(68,1),(71,1),(95,1),(140,1)}
        55:{2,4,5,6}:{(43,1),(68,1),(69,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(68,1),(70,1),(71,1),(74,1)}
        58:{1,3,5,6}:{(46,1),(69,1),(71,1),(72,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(70,1),(90,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(71,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(72,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(100,1),(103,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(56,1),(77,1),(131,1)}
        66:{1,2,4,5,6}:{(55,1),(79,1),(80,1),(108,1),(145,1),(146,1)}
        67:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(81,1),(84,1),(111,1),(131,1)}
        68:{2,4,5,7}:{(54,1),(55,1),(81,1),(82,1)}
        69:{2,3,5,6}:{(55,1),(58,1),(80,1),(82,1),(83,1)}
        70:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(81,1),(84,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(82,1),(84,1),(85,1)}
        72:{1,3,4,6}:{(58,1),(61,1),(83,1),(85,1),(86,1)}
        73:{1,2,3,5,6,7}:{(59,1),(60,1),(84,1),(87,1),(89,1),(105,1),(116,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(85,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(86,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(116,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(67,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(70,1),(90,1),(91,1),(102,1),(120,1)}
        79:{1,2,4,5,7}:{(66,1),(68,1),(94,1),(95,1),(123,1),(140,1),(142,1)}
        80:{1,3,5,6}:{(66,1),(69,1),(95,1),(96,1)}
        81:{2,4,6,7}:{(67,1),(68,1),(90,1),(97,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(95,1),(97,1),(98,1)}
        83:{2,3,4,6}:{(69,1),(72,1),(96,1),(98,1),(99,1)}
        84:{1,3,6,7}:{(70,1),(71,1),(97,1)}
        85:{1,3,4,7}:{(71,1),(72,1),(74,1),(98,1)}
        86:{1,3,4,5}:{(72,1),(75,1),(99,1)}
        87:{1,2,4,6,7}:{(73,1),(74,1),(100,1),(102,1),(103,1),(120,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(103,1)}
        89:{1,2,3,5,6}:{(76,1),(103,1),(130,1)}
        90:{2,5,6,7}:{(77,1),(81,1)}
        91:{1,3,5,6,7}:{(78,1),(84,1),(105,1),(106,1),(116,1)}
        92:{1,2,3,5,6}:{(80,1),(107,1),(108,1),(110,1),(136,1),(146,1)}
        93:{1,2,3,4,6}:{(108,1),(109,1),(110,1),(136,1)}
        94:{1,2,4,6,7}:{(79,1),(81,1),(104,1),(111,1),(131,1)}
        95:{1,3,5,7}:{(79,1),(80,1),(82,1),(111,1),(112,1)}
        96:{1,3,4,6}:{(80,1),(83,1),(108,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(81,1),(82,1),(84,1),(111,1)}
        98:{2,3,4,7}:{(82,1),(83,1),(85,1),(112,1)}
        99:{2,3,4,5}:{(83,1),(86,1),(113,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(87,1),(114,1),(116,1),(117,1)}
       101:{1,3,4,5,7}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1)}
       102:{1,2,4,5,7}:{(87,1),(116,1),(118,1),(132,1)}
       103:{1,2,4,6}:{(88,1),(89,1),(117,1)}
       104:{1,2,5,6,7}:{(90,1),(94,1),(119,1),(142,1)}
       105:{2,3,5,6,7}:{(90,1),(91,1),(97,1),(119,1),(120,1),(128,1)}
       106:{1,3,4,6,7}:{(91,1),(120,1),(121,1)}
       107:{1,2,3,5,7}:{(92,1),(95,1),(122,1),(123,1),(142,1)}
       108:{1,2,4,6}:{(92,1),(96,1),(123,1),(124,1)}
       109:{1,2,3,4,7}:{(93,1),(123,1),(125,1)}
       110:{1,2,3,5}:{(93,1),(124,1)}
       111:{1,3,6,7}:{(94,1),(95,1),(97,1)}
       112:{1,3,4,7}:{(95,1),(96,1),(98,1),(123,1)}
       113:{1,3,4,5}:{(96,1),(99,1),(124,1)}
       114:{2,3,4,6,7}:{(97,1),(98,1),(100,1),(120,1),(126,1),(128,1),(129,1)}
       115:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(127,1),(128,1),(129,1)}
       116:{1,3,5,7}:{(100,1),(102,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(101,1),(103,1),(129,1),(130,1)}
       118:{1,2,4,5,6}:{(102,1),(103,1),(130,1),(141,1)}
       119:{1,3,5,6,7}:{(104,1),(105,1),(111,1),(131,1),(137,1)}
       120:{2,4,6,7}:{(105,1),(106,1),(131,1),(132,1)}
       121:{1,3,4,5,7}:{(106,1),(116,1),(132,1),(133,1)}
       122:{1,2,3,6,7}:{(107,1),(111,1),(134,1),(136,1)}
       123:{1,2,4,7}:{(107,1),(108,1),(112,1)}
       124:{1,2,4,5}:{(108,1),(110,1),(113,1)}
       125:{1,2,3,5,7}:{(109,1),(110,1),(135,1),(136,1)}
       126:{1,3,4,6,7}:{(111,1),(112,1),(114,1),(131,1),(134,1),(137,1),(138,1)}
       127:{1,3,4,5,7}:{(112,1),(113,1),(115,1),(135,1),(137,1),(138,1)}
       128:{2,3,5,7}:{(114,1),(116,1),(132,1),(137,1),(139,1)}
       129:{2,3,4,6}:{(115,1),(117,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(117,1),(118,1),(139,1)}
       131:{1,4,6,7}:{(119,1),(120,1),(140,1)}
       132:{2,4,5,7}:{(120,1),(121,1),(128,1),(140,1),(141,1)}
       133:{1,3,4,5,6}:{(121,1),(130,1),(141,1)}
       134:{1,2,4,6,7}:{(122,1),(123,1),(126,1),(142,1),(143,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(127,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(125,1),(143,1)}
       137:{1,3,5,7}:{(126,1),(128,1),(140,1),(142,1),(144,1)}
       138:{1,3,4,6}:{(127,1),(129,1),(143,1),(144,1)}
       139:{2,3,5,6}:{(128,1),(129,1),(130,1),(141,1),(144,1)}
       140:{1,4,5,7}:{(131,1),(132,1),(137,1),(145,1)}
       141:{2,4,5,6}:{(132,1),(133,1),(139,1),(145,1)}
       142:{1,2,5,7}:{(134,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(145,1),(146,1)}
       145:{1,4,5,6}:{(140,1),(141,1),(144,1)}
       146:{1,2,5,6}:{(142,1),(143,1),(144,1)}

2789 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(18,1),(98,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(8,1),(112,1),(137,1)}
         4:{1,2,4,5}:{(2,1),(6,1),(9,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(25,1),(27,1)}
         6:{1,3,4,5}:{(4,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(18,1),(43,1),(125,1),(146,1)}
         8:{1,2,3,6}:{(3,1),(15,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(18,1),(42,1),(43,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(24,1),(26,1),(59,1),(113,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(24,1),(27,1)}
        16:{1,2,3,6,7}:{(8,1),(10,1),(28,1),(60,1),(137,1)}
        17:{1,2,4,5,6}:{(9,1),(25,1),(27,1),(29,1),(45,1),(58,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(26,1)}
        19:{1,2,3,4,7}:{(11,1),(31,1),(32,1),(102,1)}
        20:{1,2,3,5}:{(11,1),(33,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(33,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(39,1),(75,1),(99,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(38,1),(39,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,5,6}:{(14,1),(17,1),(38,1),(42,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(39,1),(42,1)}
        27:{1,2,5,6}:{(15,1),(40,1),(43,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(43,1),(146,1),(153,1)}
        29:{1,2,4,5,7}:{(17,1),(18,1),(42,1),(43,1),(44,1),(63,1),(77,1)}
        30:{1,3,4,5,6}:{(25,1),(45,1),(46,1),(58,1),(91,1)}
        31:{1,2,3,4,6}:{(19,1),(47,1),(49,1),(83,1)}
        32:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(48,1),(49,1),(51,1)}
        33:{1,2,4,5}:{(20,1),(21,1),(50,1)}
        34:{1,2,3,6}:{(20,1),(50,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(48,1),(52,1),(54,1),(82,1),(89,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(50,1),(53,1),(54,1)}
        37:{2,3,4,6}:{(22,1),(24,1),(52,1),(55,1)}
        38:{2,3,5,6}:{(23,1),(25,1),(45,1),(53,1),(57,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,6}:{(24,1),(27,1),(55,1),(58,1),(59,1)}
        41:{1,3,4,6,7}:{(24,1),(26,1),(28,1),(56,1),(59,1),(60,1),(94,1),(139,1),(152,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(59,1)}
        44:{1,2,4,6,7}:{(29,1),(60,1),(61,1),(80,1),(94,1)}
        45:{2,4,5,6}:{(30,1),(38,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(42,1),(63,1),(64,1),(77,1),(108,1)}
        47:{1,2,3,5}:{(31,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(65,1),(67,1),(70,1),(102,1),(103,1)}
        49:{1,2,3,6}:{(32,1),(67,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(36,1),(69,1),(70,1)}
        51:{1,2,3,7}:{(34,1),(70,1)}
        52:{1,3,4,6}:{(35,1),(37,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(62,1),(69,1),(73,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(70,1),(73,1)}
        55:{2,3,5,6}:{(37,1),(40,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6,7}:{(37,1),(39,1),(41,1),(72,1),(75,1),(76,1),(109,1),(129,1),(148,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(42,1),(63,1),(73,1),(76,1)}
        58:{1,4,5,6}:{(40,1),(74,1),(77,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(43,1),(75,1),(77,1)}
        60:{1,3,6,7}:{(42,1),(44,1),(76,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(78,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(53,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(57,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(60,1),(80,1),(81,1),(94,1),(122,1)}
        65:{1,2,4,5}:{(47,1),(82,1),(83,1)}
        66:{1,2,3,5,6}:{(47,1),(49,1),(83,1),(84,1),(85,1),(115,1)}
        67:{1,2,4,6}:{(48,1),(49,1),(52,1),(85,1)}
        68:{1,2,3,6,7}:{(49,1),(51,1),(84,1),(86,1),(141,1)}
        69:{1,2,5,6}:{(50,1),(53,1),(87,1)}
        70:{1,2,4,7}:{(50,1),(51,1),(54,1),(87,1)}
        71:{1,3,5,6}:{(52,1),(55,1),(85,1),(88,1),(89,1)}
        72:{1,3,4,6,7}:{(52,1),(54,1),(56,1),(86,1),(89,1),(90,1),(116,1),(121,1),(141,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(57,1),(79,1),(87,1),(90,1)}
        74:{2,4,5,6}:{(55,1),(58,1),(88,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(92,1)}
        76:{2,3,6,7}:{(57,1),(60,1),(80,1),(90,1)}
        77:{1,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        78:{1,3,5,6,7}:{(59,1),(60,1),(61,1),(93,1),(94,1),(150,1),(152,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(73,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(76,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(124,1)}
        82:{1,3,4,5}:{(65,1),(99,1),(100,1)}
        83:{1,2,4,6}:{(65,1),(66,1),(100,1),(102,1)}
        84:{1,2,3,5,7}:{(66,1),(68,1),(102,1),(103,1),(130,1)}
        85:{1,2,5,6}:{(67,1),(71,1),(103,1)}
        86:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(72,1),(102,1),(103,1),(104,1)}
        87:{1,2,5,7}:{(69,1),(70,1),(73,1),(104,1)}
        88:{1,4,5,6}:{(71,1),(74,1),(106,1)}
        89:{1,3,5,7}:{(71,1),(72,1),(75,1),(103,1),(106,1)}
        90:{1,3,6,7}:{(73,1),(76,1),(95,1),(104,1)}
        91:{3,4,5,6}:{(74,1),(108,1)}
        92:{2,4,5,7}:{(74,1),(75,1),(77,1),(106,1),(108,1),(109,1)}
        93:{2,3,5,6,7}:{(75,1),(76,1),(78,1),(96,1),(107,1),(109,1),(124,1),(144,1),(148,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(109,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(90,1),(110,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(110,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(111,1),(150,1)}
        98:{1,2,3,4}:{(112,1)}
        99:{2,3,4,5}:{(82,1),(113,1),(114,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(114,1),(115,1),(116,1)}
       101:{1,2,4,5,6}:{(83,1),(85,1),(88,1),(115,1),(117,1),(119,1)}
       102:{1,2,4,7}:{(83,1),(84,1),(116,1)}
       103:{1,2,5,7}:{(85,1),(86,1),(89,1)}
       104:{1,2,6,7}:{(87,1),(90,1)}
       105:{1,3,4,5,6}:{(88,1),(91,1),(115,1),(119,1),(120,1)}
       106:{1,4,5,7}:{(88,1),(89,1),(92,1),(121,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(93,1),(110,1),(118,1),(121,1),(141,1)}
       108:{3,4,5,7}:{(91,1),(92,1),(122,1)}
       109:{2,4,6,7}:{(92,1),(93,1),(94,1),(121,1),(122,1)}
       110:{1,5,6,7}:{(95,1),(96,1)}
       111:{2,4,5,6,7}:{(96,1),(97,1),(109,1),(123,1),(124,1),(144,1)}
       112:{1,2,3,5}:{(98,1),(125,1),(126,1)}
       113:{1,3,4,5}:{(99,1),(125,1),(127,1)}
       114:{2,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       115:{1,3,5,6}:{(100,1),(101,1),(128,1),(130,1)}
       116:{1,3,4,7}:{(100,1),(102,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(106,1),(130,1),(131,1),(133,1)}
       118:{1,2,5,6,7}:{(103,1),(104,1),(107,1),(131,1),(144,1)}
       119:{2,4,5,6}:{(105,1),(128,1),(132,1),(133,1)}
       120:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(130,1),(133,1),(134,1)}
       121:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       122:{3,4,6,7}:{(108,1),(109,1),(124,1)}
       123:{1,4,5,6,7}:{(110,1),(111,1),(121,1),(135,1)}
       124:{3,5,6,7}:{(111,1),(122,1)}
       125:{1,2,4,5}:{(112,1),(113,1),(136,1)}
       126:{1,2,3,6}:{(112,1),(136,1),(137,1)}
       127:{1,3,4,6}:{(113,1),(114,1),(136,1),(138,1),(139,1)}
       128:{2,3,5,6}:{(114,1),(115,1),(119,1),(138,1),(140,1)}
       129:{2,3,4,7}:{(114,1),(116,1),(139,1),(140,1)}
       130:{1,3,5,7}:{(115,1),(116,1),(117,1),(140,1),(141,1)}
       131:{1,2,4,6,7}:{(117,1),(118,1),(121,1),(141,1),(143,1)}
       132:{1,4,5,6}:{(119,1),(138,1),(142,1)}
       133:{2,4,5,7}:{(119,1),(120,1),(140,1),(142,1),(143,1)}
       134:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(135,1),(141,1),(143,1)}
       135:{1,3,5,6,7}:{(123,1),(124,1),(134,1),(144,1)}
       136:{1,2,4,6}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       137:{1,2,3,7}:{(126,1),(146,1)}
       138:{1,3,5,6}:{(127,1),(128,1),(132,1),(145,1),(147,1)}
       139:{1,3,4,7}:{(127,1),(129,1),(146,1),(147,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(147,1),(148,1)}
       141:{1,3,6,7}:{(130,1),(131,1),(148,1)}
       142:{1,4,5,7}:{(132,1),(133,1),(147,1),(149,1)}
       143:{2,4,6,7}:{(133,1),(134,1),(144,1),(148,1),(149,1)}
       144:{2,5,6,7}:{(135,1),(143,1),(150,1)}
       145:{1,2,5,6}:{(136,1),(138,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(139,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{2,3,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,4,6,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,5,6,7}:{(144,1),(149,1)}
       151:{1,2,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,6,7}:{(151,1),(152,1)}

2790 :  0:{1,2,3,4,7}:{(1,1),(2,1),(25,1),(29,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(37,1),(68,1)}
        3:{1,2,3,5}:{(1,1),(8,1)}
        4:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(10,1),(29,1),(30,1),(52,1),(82,1)}
        5:{1,2,3,6}:{(2,1),(10,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(26,1),(32,1),(56,1)}
        7:{1,3,4,5,7}:{(4,1),(6,1),(13,1),(14,1),(15,1),(36,1),(38,1),(41,1),(70,1)}
        8:{1,2,4,5}:{(3,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(3,1),(5,1),(16,1),(17,1),(18,1),(40,1)}
       10:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
       11:{1,2,3,6,7}:{(5,1),(17,1),(19,1),(68,1),(72,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(26,1),(48,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(10,1),(12,1),(22,1),(23,1)}
       15:{1,3,4,5}:{(8,1),(26,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1)}
       17:{1,2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(57,1)}
       18:{1,2,5,6}:{(10,1),(23,1),(30,1)}
       19:{1,2,4,6,7}:{(10,1),(11,1),(24,1),(29,1),(30,1),(82,1),(96,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(31,1),(32,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(32,1),(56,1),(60,1),(84,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,5,6}:{(14,1),(18,1),(20,1),(33,1),(35,1),(36,1)}
       24:{1,3,4,6,7}:{(14,1),(19,1),(21,1),(34,1),(36,1),(41,1),(66,1),(70,1),(72,1),(92,1)}
       25:{1,2,3,4}:{(37,1)}
       26:{2,3,4,5}:{(15,1),(38,1),(39,1)}
       27:{1,3,4,6}:{(15,1),(16,1),(39,1),(40,1),(41,1)}
       28:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(40,1),(42,1),(64,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(41,1)}
       30:{1,2,5,7}:{(18,1),(19,1),(36,1)}
       31:{2,4,5,6}:{(20,1),(35,1),(44,1),(45,1)}
       32:{2,3,5,7}:{(20,1),(21,1),(36,1),(45,1)}
       33:{2,3,5,6}:{(22,1),(23,1),(47,1),(48,1)}
       34:{2,3,4,6,7}:{(22,1),(24,1),(48,1),(56,1),(76,1),(84,1)}
       35:{1,4,5,6}:{(23,1),(31,1),(47,1),(50,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(30,1),(32,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(52,1),(53,1)}
       38:{1,3,4,5}:{(26,1),(52,1),(54,1)}
       39:{2,3,4,6}:{(26,1),(27,1),(54,1),(55,1),(56,1)}
       40:{1,3,5,6}:{(27,1),(28,1),(55,1),(57,1)}
       41:{1,3,4,7}:{(27,1),(29,1),(56,1),(57,1)}
       42:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(50,1),(57,1),(58,1),(79,1)}
       43:{1,2,5,6,7}:{(30,1),(51,1),(58,1),(94,1),(96,1)}
       44:{3,4,5,6}:{(31,1),(59,1)}
       45:{2,4,5,7}:{(31,1),(32,1),(50,1),(59,1),(60,1)}
       46:{2,3,5,6,7}:{(32,1),(51,1),(60,1),(84,1),(85,1),(94,1)}
       47:{2,4,5,6}:{(33,1),(35,1),(61,1),(62,1)}
       48:{2,3,5,7}:{(33,1),(34,1),(36,1),(62,1)}
       49:{1,3,4,5,6}:{(35,1),(40,1),(44,1),(61,1),(64,1),(65,1)}
       50:{1,4,5,7}:{(35,1),(36,1),(45,1),(62,1),(66,1)}
       51:{1,3,5,6,7}:{(36,1),(43,1),(46,1),(63,1),(66,1),(72,1),(92,1),(97,1)}
       52:{1,2,4,5}:{(37,1),(38,1),(67,1)}
       53:{1,2,3,6}:{(37,1),(67,1),(68,1)}
       54:{1,3,4,6}:{(38,1),(39,1),(67,1),(69,1),(70,1)}
       55:{2,3,5,6}:{(39,1),(40,1),(64,1),(69,1),(71,1)}
       56:{2,3,4,7}:{(39,1),(41,1),(70,1),(71,1)}
       57:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1)}
       58:{1,2,4,6,7}:{(42,1),(43,1),(66,1),(72,1),(90,1)}
       59:{3,4,5,7}:{(44,1),(45,1),(74,1)}
       60:{2,4,6,7}:{(45,1),(46,1),(66,1),(74,1)}
       61:{3,4,5,6}:{(47,1),(75,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(50,1),(75,1),(76,1)}
       63:{2,3,5,6,7}:{(48,1),(51,1),(76,1),(84,1),(93,1),(94,1)}
       64:{2,4,5,6}:{(49,1),(55,1),(78,1),(79,1)}
       65:{1,3,4,5,7}:{(49,1),(50,1),(57,1),(59,1),(75,1),(79,1),(80,1)}
       66:{1,4,6,7}:{(50,1),(51,1),(60,1),(76,1)}
       67:{1,2,4,6}:{(52,1),(53,1),(54,1),(81,1),(82,1)}
       68:{1,2,3,7}:{(53,1),(82,1)}
       69:{1,3,5,6}:{(54,1),(55,1),(78,1),(81,1),(83,1)}
       70:{1,3,4,7}:{(54,1),(56,1),(82,1),(83,1)}
       71:{2,3,5,7}:{(55,1),(56,1),(57,1),(79,1),(83,1),(84,1)}
       72:{1,3,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,5,6,7}:{(60,1),(77,1),(85,1),(94,1)}
       74:{3,4,6,7}:{(59,1),(60,1),(85,1)}
       75:{3,4,5,7}:{(61,1),(62,1),(87,1)}
       76:{2,4,6,7}:{(62,1),(63,1),(66,1),(87,1)}
       77:{1,4,5,6,7}:{(66,1),(73,1),(86,1),(88,1),(97,1)}
       78:{1,4,5,6}:{(64,1),(69,1),(89,1)}
       79:{2,4,5,7}:{(64,1),(65,1),(71,1),(89,1),(90,1)}
       80:{1,3,4,6,7}:{(65,1),(66,1),(72,1),(74,1),(87,1),(88,1),(90,1)}
       81:{1,2,5,6}:{(67,1),(69,1),(91,1)}
       82:{1,2,4,7}:{(67,1),(68,1),(70,1),(91,1)}
       83:{1,3,5,7}:{(69,1),(70,1),(71,1),(89,1),(91,1),(92,1)}
       84:{2,3,6,7}:{(71,1),(72,1),(90,1),(92,1)}
       85:{3,5,6,7}:{(73,1),(74,1)}
       86:{2,4,5,6,7}:{(76,1),(77,1),(93,1),(94,1)}
       87:{3,4,6,7}:{(75,1),(76,1),(93,1)}
       88:{1,3,5,6,7}:{(77,1),(80,1),(85,1),(93,1),(94,1)}
       89:{1,4,5,7}:{(78,1),(79,1),(83,1),(95,1)}
       90:{2,4,6,7}:{(79,1),(80,1),(84,1),(94,1),(95,1)}
       91:{1,2,5,7}:{(81,1),(82,1),(83,1),(96,1)}
       92:{1,3,6,7}:{(83,1),(84,1),(95,1),(96,1)}
       93:{3,5,6,7}:{(86,1),(87,1)}
       94:{2,5,6,7}:{(88,1),(90,1),(97,1)}
       95:{1,4,6,7}:{(89,1),(90,1),(92,1),(97,1)}
       96:{1,2,6,7}:{(91,1),(92,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2791 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(23,1),(114,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,4,5}:{(2,1),(9,1),(11,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(12,1),(129,1),(149,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(33,1),(37,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(16,1),(83,1)}
         8:{1,2,3,5}:{(3,1),(14,1),(17,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(55,1),(115,1),(142,1)}
        11:{1,2,4,6}:{(4,1),(6,1),(20,1),(23,1)}
        12:{1,2,3,6}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(23,1),(24,1),(51,1),(55,1)}
        14:{1,2,4,5}:{(8,1),(25,1),(27,1)}
        15:{1,2,3,4,6}:{(7,1),(28,1),(29,1),(63,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,6}:{(8,1),(27,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(34,1),(35,1),(72,1),(98,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(32,1),(33,1),(35,1)}
        21:{1,2,4,5,6}:{(11,1),(33,1),(36,1),(37,1),(65,1),(71,1)}
        22:{1,2,4,6}:{(10,1),(12,1),(34,1),(37,1)}
        23:{1,2,4,7}:{(11,1),(13,1),(35,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(38,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(39,1),(42,1),(43,1),(44,1),(80,1),(83,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(40,1),(41,1),(43,1)}
        28:{1,2,3,5}:{(15,1),(44,1)}
        29:{1,2,3,6}:{(16,1),(42,1)}
        30:{1,2,3,7}:{(17,1),(43,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(48,1),(49,1),(81,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(47,1),(49,1)}
        33:{1,3,5,6}:{(20,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,6}:{(19,1),(22,1),(48,1),(52,1)}
        35:{1,3,4,7}:{(20,1),(23,1),(49,1),(51,1)}
        36:{1,2,4,5,7}:{(21,1),(23,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(55,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(53,1),(55,1),(142,1),(152,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(31,1),(57,1),(58,1),(62,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(27,1),(32,1),(56,1),(58,1)}
        41:{1,2,5,6}:{(27,1),(56,1),(59,1)}
        42:{1,2,4,6}:{(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,4,7}:{(27,1),(30,1),(58,1),(59,1)}
        44:{1,2,4,5}:{(28,1),(62,1),(63,1)}
        45:{1,2,3,5,6}:{(28,1),(29,1),(60,1),(63,1),(64,1),(96,1)}
        46:{1,2,3,6,7}:{(29,1),(30,1),(61,1),(64,1),(126,1)}
        47:{2,3,5,6}:{(32,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(34,1),(57,1),(67,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(66,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(71,1),(103,1)}
        51:{1,3,5,7}:{(33,1),(35,1),(36,1),(66,1),(70,1)}
        52:{1,3,5,6}:{(34,1),(37,1),(67,1),(71,1),(72,1)}
        53:{1,3,4,6,7}:{(34,1),(35,1),(38,1),(68,1),(70,1),(72,1),(106,1),(131,1),(147,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(72,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,6}:{(39,1),(42,1),(48,1),(76,1)}
        58:{1,3,4,7}:{(40,1),(43,1),(49,1),(75,1)}
        59:{1,2,5,7}:{(41,1),(43,1),(75,1),(78,1)}
        60:{1,2,5,6}:{(42,1),(76,1),(80,1)}
        61:{1,2,4,6,7}:{(42,1),(43,1),(46,1),(77,1),(78,1),(80,1),(83,1)}
        62:{1,3,4,5}:{(44,1),(81,1),(82,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(82,1),(83,1)}
        64:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(83,1),(113,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(49,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,5,6}:{(48,1),(52,1),(76,1),(86,1),(87,1)}
        68:{2,3,4,6,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(87,1),(117,1),(119,1),(138,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(120,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,4,5,6}:{(52,1),(86,1),(90,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(118,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(58,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,5,6}:{(57,1),(60,1),(67,1),(93,1),(94,1)}
        77:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(68,1),(92,1),(94,1),(100,1),(123,1),(126,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,4,5,6}:{(60,1),(63,1),(93,1),(96,1),(97,1),(124,1)}
        80:{1,2,5,7}:{(60,1),(61,1),(94,1)}
        81:{2,3,4,5}:{(62,1),(98,1),(99,1)}
        82:{1,3,4,6}:{(62,1),(63,1),(96,1),(99,1),(100,1)}
        83:{1,2,4,7}:{(63,1),(64,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,4,5,6}:{(67,1),(71,1),(93,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(72,1),(94,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(133,1)}
        89:{1,3,5,6,7}:{(70,1),(72,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(104,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,4,5,6}:{(76,1),(86,1),(110,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(110,1)}
        95:{1,2,5,6,7}:{(78,1),(80,1),(108,1),(111,1),(150,1)}
        96:{1,3,5,6}:{(79,1),(82,1),(112,1),(113,1)}
        97:{1,2,4,5,7}:{(79,1),(80,1),(83,1),(110,1),(111,1),(113,1),(137,1)}
        98:{1,3,4,5}:{(81,1),(115,1),(116,1)}
        99:{2,3,4,6}:{(81,1),(82,1),(112,1),(116,1),(117,1)}
       100:{1,3,4,7}:{(82,1),(83,1),(113,1),(117,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(118,1)}
       102:{2,3,5,6,7}:{(85,1),(87,1),(89,1),(108,1),(118,1),(119,1),(138,1),(143,1),(150,1)}
       103:{3,4,5,6}:{(86,1),(120,1)}
       104:{2,4,5,7}:{(86,1),(87,1),(90,1),(110,1),(119,1),(120,1)}
       105:{1,3,5,6,7}:{(88,1),(118,1),(121,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(119,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(122,1)}
       108:{1,3,5,6,7}:{(92,1),(94,1),(95,1),(102,1),(122,1),(123,1),(126,1)}
       109:{1,3,4,5,6}:{(93,1),(96,1),(103,1),(124,1),(125,1)}
       110:{1,4,5,7}:{(93,1),(94,1),(104,1),(123,1)}
       111:{1,2,4,6,7}:{(95,1),(97,1),(123,1),(126,1),(145,1)}
       112:{2,3,5,6}:{(96,1),(99,1),(124,1),(127,1),(128,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(100,1),(126,1),(128,1)}
       114:{1,2,3,4}:{(129,1)}
       115:{1,2,4,5}:{(98,1),(129,1),(130,1)}
       116:{1,3,4,6}:{(98,1),(99,1),(127,1),(130,1),(131,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(128,1),(131,1)}
       118:{2,5,6,7}:{(101,1),(105,1),(122,1)}
       119:{2,4,6,7}:{(102,1),(104,1),(106,1),(123,1),(133,1)}
       120:{3,4,5,7}:{(103,1),(104,1),(133,1)}
       121:{1,4,5,6,7}:{(105,1),(106,1),(132,1),(153,1)}
       122:{1,5,6,7}:{(107,1),(118,1)}
       123:{1,4,6,7}:{(108,1),(110,1),(119,1)}
       124:{2,4,5,6}:{(109,1),(112,1),(136,1),(137,1)}
       125:{1,3,4,5,7}:{(109,1),(110,1),(113,1),(120,1),(135,1),(137,1)}
       126:{1,3,6,7}:{(111,1),(113,1),(138,1)}
       127:{1,3,5,6}:{(112,1),(116,1),(136,1),(139,1),(140,1)}
       128:{2,3,5,7}:{(112,1),(113,1),(117,1),(137,1),(138,1),(140,1)}
       129:{1,2,3,5}:{(114,1),(115,1),(141,1)}
       130:{1,2,4,6}:{(115,1),(116,1),(139,1),(141,1),(142,1)}
       131:{1,3,4,7}:{(116,1),(117,1),(140,1),(142,1)}
       132:{2,4,5,6,7}:{(118,1),(119,1),(121,1),(134,1),(143,1),(150,1)}
       133:{3,4,6,7}:{(119,1),(120,1),(143,1)}
       134:{1,4,5,6,7}:{(122,1),(123,1),(132,1),(144,1)}
       135:{1,3,4,6,7}:{(123,1),(125,1),(126,1),(133,1),(144,1),(145,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,4,5,7}:{(124,1),(125,1),(128,1),(145,1),(146,1)}
       138:{2,3,6,7}:{(126,1),(128,1),(145,1),(147,1)}
       139:{1,2,5,6}:{(127,1),(130,1),(148,1)}
       140:{1,3,5,7}:{(127,1),(128,1),(131,1),(146,1),(147,1),(148,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,4,7}:{(130,1),(131,1),(148,1),(149,1)}
       143:{3,5,6,7}:{(132,1),(133,1)}
       144:{1,3,5,6,7}:{(134,1),(135,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(135,1),(137,1),(138,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(136,1),(137,1),(140,1),(151,1)}
       147:{1,3,6,7}:{(138,1),(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(139,1),(140,1),(142,1),(152,1)}
       149:{1,2,3,7}:{(141,1),(142,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2792 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2793 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(68,1),(92,1)}
        3:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(9,1),(26,1),(29,1),(54,1),(83,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,3,6}:{(2,1),(8,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(27,1),(31,1),(56,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(17,1),(35,1),(39,1),(41,1),(70,1)}
        8:{1,2,4,6}:{(3,1),(5,1),(14,1),(15,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(37,1)}
       11:{1,2,3,6,7}:{(5,1),(16,1),(19,1),(65,1),(92,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(27,1),(46,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(23,1)}
       15:{1,2,5,6}:{(8,1),(23,1),(26,1)}
       16:{1,2,4,6,7}:{(8,1),(11,1),(24,1),(26,1),(29,1),(83,1),(96,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(28,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
       19:{1,2,3,5,7}:{(10,1),(11,1),(26,1),(29,1),(52,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(30,1),(31,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(31,1),(56,1),(57,1),(79,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(32,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(20,1),(32,1),(34,1),(35,1)}
       24:{1,3,4,6,7}:{(14,1),(16,1),(21,1),(33,1),(35,1),(41,1),(62,1),(65,1),(70,1),(90,1)}
       25:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(37,1),(38,1),(63,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(35,1)}
       27:{2,3,4,5}:{(17,1),(39,1),(40,1)}
       28:{1,3,4,6}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
       29:{1,2,4,7}:{(18,1),(19,1),(41,1)}
       30:{2,4,5,6}:{(20,1),(34,1),(43,1),(44,1)}
       31:{2,3,5,7}:{(20,1),(21,1),(35,1),(44,1)}
       32:{2,3,5,6}:{(22,1),(23,1),(45,1),(46,1)}
       33:{2,3,4,6,7}:{(22,1),(24,1),(46,1),(56,1),(73,1),(79,1)}
       34:{1,4,5,6}:{(23,1),(30,1),(45,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(31,1),(46,1),(49,1)}
       36:{1,2,5,6,7}:{(26,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,3,5,6}:{(25,1),(28,1),(51,1),(52,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(50,1),(52,1),(78,1)}
       39:{1,3,4,5}:{(27,1),(54,1),(55,1)}
       40:{2,3,4,6}:{(27,1),(28,1),(51,1),(55,1),(56,1)}
       41:{1,3,4,7}:{(28,1),(29,1),(52,1),(56,1)}
       42:{2,3,5,6,7}:{(31,1),(47,1),(57,1),(79,1),(84,1),(94,1)}
       43:{3,4,5,6}:{(30,1),(58,1)}
       44:{2,4,5,7}:{(30,1),(31,1),(49,1),(57,1),(58,1)}
       45:{2,4,5,6}:{(32,1),(34,1),(60,1),(61,1)}
       46:{2,3,5,7}:{(32,1),(33,1),(35,1),(61,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(42,1),(59,1),(62,1),(65,1),(90,1),(97,1)}
       48:{1,3,4,5,6}:{(34,1),(37,1),(43,1),(60,1),(63,1),(64,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(44,1),(61,1),(62,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(62,1),(65,1),(88,1)}
       51:{2,3,5,6}:{(37,1),(40,1),(63,1),(66,1),(67,1)}
       52:{1,3,5,7}:{(37,1),(38,1),(41,1),(65,1),(67,1)}
       53:{1,2,3,4}:{(68,1)}
       54:{1,2,4,5}:{(39,1),(68,1),(69,1)}
       55:{1,3,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
       56:{2,3,4,7}:{(40,1),(41,1),(67,1),(70,1)}
       57:{2,4,6,7}:{(42,1),(44,1),(62,1),(72,1)}
       58:{3,4,5,7}:{(43,1),(44,1),(72,1)}
       59:{2,3,5,6,7}:{(46,1),(47,1),(73,1),(79,1),(93,1),(94,1)}
       60:{3,4,5,6}:{(45,1),(74,1)}
       61:{2,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(49,1),(57,1),(73,1)}
       63:{2,4,5,6}:{(48,1),(51,1),(77,1),(78,1)}
       64:{1,3,4,5,7}:{(48,1),(49,1),(52,1),(58,1),(74,1),(76,1),(78,1)}
       65:{1,3,6,7}:{(50,1),(52,1),(79,1)}
       66:{1,3,5,6}:{(51,1),(55,1),(77,1),(80,1),(81,1)}
       67:{2,3,5,7}:{(51,1),(52,1),(56,1),(78,1),(79,1),(81,1)}
       68:{1,2,3,5}:{(53,1),(54,1),(82,1)}
       69:{1,2,4,6}:{(54,1),(55,1),(80,1),(82,1),(83,1)}
       70:{1,3,4,7}:{(55,1),(56,1),(81,1),(83,1)}
       71:{2,4,5,6,7}:{(57,1),(75,1),(84,1),(94,1)}
       72:{3,4,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,6,7}:{(59,1),(61,1),(62,1),(86,1)}
       74:{3,4,5,7}:{(60,1),(61,1),(86,1)}
       75:{1,4,5,6,7}:{(62,1),(71,1),(85,1),(87,1),(97,1)}
       76:{1,3,4,6,7}:{(62,1),(64,1),(65,1),(72,1),(86,1),(87,1),(88,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,4,5,7}:{(63,1),(64,1),(67,1),(88,1),(89,1)}
       79:{2,3,6,7}:{(65,1),(67,1),(88,1),(90,1)}
       80:{1,2,5,6}:{(66,1),(69,1),(91,1)}
       81:{1,3,5,7}:{(66,1),(67,1),(70,1),(89,1),(90,1),(91,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,4,7}:{(69,1),(70,1),(91,1),(92,1)}
       84:{3,5,6,7}:{(71,1),(72,1)}
       85:{2,4,5,6,7}:{(73,1),(75,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(73,1),(74,1),(93,1)}
       87:{1,3,5,6,7}:{(75,1),(76,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(76,1),(78,1),(79,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(77,1),(78,1),(81,1),(95,1)}
       90:{1,3,6,7}:{(79,1),(81,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(80,1),(81,1),(83,1),(96,1)}
       92:{1,2,3,7}:{(82,1),(83,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2794 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2795 :   0:{2,3,4,5,6}:{(1,1),(2,1),(31,1),(66,1),(115,1),(166,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(48,1),(147,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(19,1),(85,1),(136,1),(149,1),(150,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(39,1),(58,1),(79,1),(182,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(70,1),(115,1),(122,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(13,1),(33,1),(125,1),(127,1)}
         6:{2,4,5,6}:{(2,1),(13,1),(14,1),(108,1),(155,1)}
         7:{2,3,4,5,7}:{(3,1),(15,1),(16,1),(80,1),(170,1)}
         8:{1,3,4,5,6}:{(3,1),(16,1),(17,1),(41,1),(53,1),(101,1),(172,1),(173,1)}
         9:{1,2,4,5,6}:{(6,1),(18,1),(19,1),(49,1),(93,1),(143,1),(148,1),(149,1)}
        10:{3,4,5,6,7}:{(20,1),(146,1),(173,1)}
        11:{2,3,5,6,7}:{(4,1),(20,1),(21,1),(139,1)}
        12:{1,3,4,6,7}:{(4,1),(5,1),(21,1),(22,1),(51,1),(99,1),(102,1),(136,1)}
        13:{2,4,5,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{2,3,5,6}:{(6,1),(19,1),(23,1),(24,1),(130,1),(168,1)}
        15:{2,3,4,6,7}:{(7,1),(27,1),(28,1),(79,1),(106,1),(153,1)}
        16:{1,3,4,5,7}:{(7,1),(8,1),(28,1),(29,1),(60,1),(156,1),(158,1)}
        17:{2,4,5,6}:{(8,1),(29,1),(30,1),(72,1),(124,1)}
        18:{1,2,4,5,7}:{(9,1),(13,1),(32,1),(33,1),(71,1),(123,1),(125,1)}
        19:{1,3,5,6}:{(9,1),(14,1),(31,1),(33,1),(34,1),(117,1),(161,1)}
        20:{2,4,5,6,7}:{(10,1),(11,1),(35,1),(122,1),(159,1)}
        21:{1,3,5,6,7}:{(11,1),(12,1),(35,1),(36,1),(76,1),(157,1)}
        22:{2,4,6,7}:{(12,1),(13,1),(36,1),(37,1),(155,1)}
        23:{2,3,5,7}:{(13,1),(14,1),(33,1),(37,1),(38,1)}
        24:{2,3,4,6}:{(14,1),(34,1),(38,1),(39,1)}
        25:{1,2,4,5,6}:{(17,1),(40,1),(41,1),(81,1),(93,1),(143,1),(171,1),(172,1)}
        26:{3,4,5,6,7}:{(42,1),(150,1),(169,1)}
        27:{2,3,5,6,7}:{(15,1),(42,1),(43,1),(104,1)}
        28:{1,3,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(83,1),(101,1),(134,1),(137,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{2,3,5,6}:{(17,1),(41,1),(45,1),(46,1),(95,1),(145,1)}
        31:{2,3,5,6}:{(19,1),(48,1),(49,1),(95,1),(145,1),(148,1)}
        32:{1,2,4,6,7}:{(18,1),(22,1),(50,1),(51,1),(97,1),(99,1),(143,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(23,1),(48,1),(51,1),(52,1)}
        34:{1,3,4,6}:{(19,1),(24,1),(49,1),(52,1),(53,1)}
        35:{1,4,5,6,7}:{(20,1),(21,1),(54,1),(99,1),(172,1)}
        36:{2,5,6,7}:{(21,1),(22,1),(171,1)}
        37:{2,3,6,7}:{(22,1),(23,1),(51,1),(168,1)}
        38:{2,3,4,7}:{(23,1),(24,1),(52,1)}
        39:{2,3,4,5}:{(24,1),(53,1),(130,1)}
        40:{1,2,4,5,7}:{(25,1),(29,1),(59,1),(60,1),(107,1),(154,1),(156,1)}
        41:{1,3,5,6}:{(25,1),(30,1),(58,1),(60,1),(61,1),(117,1),(161,1)}
        42:{2,4,5,6,7}:{(26,1),(27,1),(62,1),(128,1),(153,1)}
        43:{1,3,5,6,7}:{(27,1),(28,1),(62,1),(63,1),(112,1),(126,1)}
        44:{2,4,6,7}:{(28,1),(29,1),(63,1),(64,1),(124,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(60,1),(64,1),(65,1)}
        46:{2,3,4,6}:{(30,1),(61,1),(65,1),(66,1)}
        47:{1,2,3,5,6}:{(31,1),(58,1),(67,1),(68,1),(117,1),(161,1),(162,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(70,1),(71,1),(123,1)}
        49:{2,4,6}:{(31,1),(34,1),(71,1),(72,1)}
        50:{1,2,5,6,7}:{(32,1),(36,1),(73,1),(123,1),(162,1)}
        51:{1,3,6,7}:{(32,1),(33,1),(37,1),(70,1),(161,1)}
        52:{1,3,4,7}:{(33,1),(34,1),(38,1),(71,1)}
        53:{1,3,4,5}:{(34,1),(39,1),(72,1),(117,1)}
        54:{2,4,5,6,7}:{(35,1),(36,1),(76,1),(77,1),(182,1)}
        55:{2,3,5,6,7}:{(36,1),(37,1),(73,1),(76,1),(77,1),(78,1),(180,1)}
        56:{2,3,4,6,7}:{(37,1),(38,1),(74,1),(77,1),(78,1),(79,1)}
        57:{2,3,4,5,7}:{(38,1),(39,1),(75,1),(78,1),(79,1),(152,1),(179,1)}
        58:{2,3,5,6}:{(41,1),(80,1),(81,1),(130,1),(168,1),(171,1)}
        59:{1,2,4,6,7}:{(40,1),(44,1),(82,1),(83,1),(132,1),(134,1),(143,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(45,1),(80,1),(83,1),(84,1)}
        61:{1,3,4,6}:{(41,1),(46,1),(81,1),(84,1),(85,1)}
        62:{1,4,5,6,7}:{(42,1),(43,1),(86,1),(134,1),(149,1)}
        63:{2,5,6,7}:{(43,1),(44,1),(148,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(145,1)}
        65:{2,3,4,7}:{(45,1),(46,1),(84,1)}
        66:{2,3,4,5}:{(46,1),(85,1),(95,1)}
        67:{1,2,3,5,7}:{(47,1),(48,1),(80,1),(91,1),(92,1),(141,1),(142,1)}
        68:{1,2,4,6}:{(47,1),(49,1),(81,1),(90,1),(92,1),(93,1)}
        69:{2,3,4,6}:{(49,1),(90,1),(94,1),(95,1),(145,1)}
        70:{2,3,6,7}:{(48,1),(51,1),(97,1),(145,1)}
        71:{2,4,7}:{(48,1),(49,1),(52,1)}
        72:{2,4,5}:{(49,1),(53,1),(95,1)}
        73:{1,3,5,6,7}:{(50,1),(51,1),(55,1),(96,1),(99,1),(100,1),(175,1)}
        74:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(97,1),(99,1),(100,1),(101,1),(146,1)}
        75:{1,3,4,5,7}:{(52,1),(53,1),(57,1),(98,1),(100,1),(101,1),(141,1),(174,1),(176,1)}
        76:{3,5,6,7}:{(54,1),(102,1),(187,1)}
        77:{2,4,6,7}:{(55,1),(99,1),(102,1),(103,1),(186,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,3,4,6}:{(57,1),(101,1),(104,1),(168,1),(186,1)}
        80:{2,3,5,7}:{(58,1),(60,1),(106,1),(107,1),(154,1)}
        81:{2,4,6}:{(58,1),(61,1),(107,1),(108,1)}
        82:{1,2,5,6,7}:{(59,1),(63,1),(109,1),(154,1),(162,1)}
        83:{1,3,6,7}:{(59,1),(60,1),(64,1),(106,1),(161,1)}
        84:{1,3,4,7}:{(60,1),(61,1),(65,1),(107,1)}
        85:{1,3,4,5}:{(61,1),(66,1),(108,1),(117,1)}
        86:{2,4,5,6,7}:{(62,1),(63,1),(112,1),(113,1),(166,1)}
        87:{2,3,5,6,7}:{(63,1),(64,1),(109,1),(112,1),(113,1),(114,1),(164,1)}
        88:{2,3,4,6,7}:{(64,1),(65,1),(110,1),(113,1),(114,1),(115,1)}
        89:{2,3,4,5,7}:{(65,1),(66,1),(111,1),(114,1),(115,1),(121,1),(163,1)}
        90:{1,3,4,6}:{(68,1),(69,1),(105,1),(116,1),(117,1),(161,1)}
        91:{1,2,3,6,7}:{(67,1),(70,1),(106,1),(118,1),(161,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(71,1),(107,1),(116,1)}
        93:{1,2,4,5}:{(68,1),(72,1),(108,1),(117,1)}
        94:{2,3,4,7}:{(69,1),(71,1),(116,1),(121,1)}
        95:{2,3,5}:{(69,1),(72,1),(117,1)}
        96:{2,3,5,6,7}:{(70,1),(73,1),(122,1),(123,1),(164,1),(165,1)}
        97:{2,4,6,7}:{(70,1),(71,1),(74,1),(123,1),(124,1)}
        98:{2,4,5,7}:{(71,1),(72,1),(75,1),(121,1),(123,1),(124,1)}
        99:{1,4,6,7}:{(73,1),(77,1),(122,1),(125,1),(183,1)}
       100:{1,3,5,7}:{(74,1),(78,1),(123,1),(125,1),(126,1),(165,1)}
       101:{1,3,4,6}:{(75,1),(79,1),(124,1),(126,1),(161,1),(183,1),(184,1)}
       102:{3,4,6,7}:{(76,1),(77,1),(127,1),(188,1)}
       103:{2,4,5,7}:{(77,1),(78,1),(125,1),(127,1),(128,1)}
       104:{2,3,5,6}:{(78,1),(79,1),(126,1),(128,1)}
       105:{2,3,4,6}:{(81,1),(90,1),(129,1),(130,1),(168,1)}
       106:{2,3,6,7}:{(80,1),(83,1),(132,1),(168,1)}
       107:{2,4,7}:{(80,1),(81,1),(84,1)}
       108:{2,4,5}:{(81,1),(85,1),(130,1)}
       109:{1,3,5,6,7}:{(82,1),(83,1),(87,1),(131,1),(134,1),(135,1),(175,1)}
       110:{1,3,4,6,7}:{(83,1),(84,1),(88,1),(132,1),(134,1),(135,1),(136,1),(169,1)}
       111:{1,3,4,5,7}:{(84,1),(85,1),(89,1),(133,1),(135,1),(136,1),(141,1),(174,1),(185,1)}
       112:{3,5,6,7}:{(86,1),(137,1),(178,1)}
       113:{2,4,6,7}:{(87,1),(134,1),(137,1),(138,1),(177,1)}
       114:{2,3,5,7}:{(88,1),(135,1),(138,1),(139,1)}
       115:{2,3,4,6}:{(89,1),(136,1),(139,1),(145,1),(177,1)}
       116:{1,3,4,7}:{(90,1),(92,1),(94,1),(129,1),(141,1)}
       117:{1,3,5}:{(90,1),(93,1),(95,1),(130,1)}
       118:{1,2,4,6,7}:{(91,1),(92,1),(97,1),(132,1),(140,1),(142,1),(143,1)}
       119:{1,2,4,5,7}:{(92,1),(93,1),(98,1),(133,1),(141,1),(142,1),(143,1),(174,1)}
       120:{2,3,4,6,7}:{(94,1),(97,1),(140,1),(144,1),(145,1),(146,1),(177,1)}
       121:{2,3,5,7}:{(94,1),(95,1),(98,1),(141,1),(145,1)}
       122:{2,4,6,7}:{(96,1),(99,1),(146,1),(147,1),(177,1)}
       123:{2,5,7}:{(97,1),(100,1),(148,1)}
       124:{2,4,6}:{(98,1),(101,1),(145,1),(148,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(147,1),(149,1)}
       126:{1,3,5,6}:{(100,1),(101,1),(104,1),(148,1),(149,1),(178,1)}
       127:{3,4,5,7}:{(102,1),(103,1),(150,1)}
       128:{2,4,5,6}:{(103,1),(104,1),(149,1),(150,1),(186,1)}
       129:{2,3,4,7}:{(105,1),(107,1),(116,1),(152,1)}
       130:{2,3,5}:{(105,1),(108,1),(117,1)}
       131:{2,3,5,6,7}:{(106,1),(109,1),(153,1),(154,1),(180,1),(181,1)}
       132:{2,4,6,7}:{(106,1),(107,1),(110,1),(154,1),(155,1)}
       133:{2,4,5,7}:{(107,1),(108,1),(111,1),(152,1),(154,1),(155,1)}
       134:{1,4,6,7}:{(109,1),(113,1),(153,1),(156,1),(183,1)}
       135:{1,3,5,7}:{(110,1),(114,1),(154,1),(156,1),(157,1),(181,1)}
       136:{1,3,4,6}:{(111,1),(115,1),(155,1),(157,1),(161,1),(183,1),(188,1)}
       137:{3,4,6,7}:{(112,1),(113,1),(158,1),(184,1)}
       138:{2,4,5,7}:{(113,1),(114,1),(156,1),(158,1),(159,1)}
       139:{2,3,5,6}:{(114,1),(115,1),(157,1),(159,1)}
       140:{1,3,4,6,7}:{(116,1),(118,1),(120,1),(151,1),(160,1),(161,1),(183,1)}
       141:{1,3,5,7}:{(116,1),(117,1),(119,1),(121,1),(152,1),(161,1)}
       142:{1,2,5,7}:{(118,1),(123,1),(154,1),(160,1),(162,1)}
       143:{1,2,4,6}:{(119,1),(124,1),(155,1),(161,1),(162,1),(183,1)}
       144:{2,3,5,7}:{(120,1),(123,1),(160,1),(163,1),(164,1),(165,1)}
       145:{2,3,6}:{(121,1),(124,1),(161,1)}
       146:{3,4,6,7}:{(122,1),(165,1),(184,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(125,1),(165,1),(166,1)}
       148:{2,5,6}:{(123,1),(124,1),(126,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(128,1),(166,1),(183,1)}
       150:{3,4,5,6}:{(127,1),(128,1),(188,1)}
       151:{2,3,4,6,7}:{(129,1),(132,1),(140,1),(167,1),(168,1),(169,1),(186,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(141,1),(168,1)}
       153:{2,4,6,7}:{(131,1),(134,1),(169,1),(170,1),(186,1)}
       154:{2,5,7}:{(132,1),(135,1),(171,1)}
       155:{2,4,6}:{(133,1),(136,1),(168,1),(171,1)}
       156:{1,4,5,7}:{(134,1),(135,1),(138,1),(170,1),(172,1)}
       157:{1,3,5,6}:{(135,1),(136,1),(139,1),(171,1),(172,1),(187,1)}
       158:{3,4,5,7}:{(137,1),(138,1),(173,1)}
       159:{2,4,5,6}:{(138,1),(139,1),(172,1),(173,1),(177,1)}
       160:{1,3,5,7}:{(140,1),(142,1),(144,1),(167,1),(174,1),(175,1)}
       161:{1,3,6}:{(141,1),(143,1),(145,1),(168,1)}
       162:{1,2,5,6}:{(142,1),(143,1),(148,1),(171,1),(175,1)}
       163:{2,4,5,7}:{(144,1),(174,1),(176,1),(177,1)}
       164:{2,3,5,6}:{(144,1),(145,1),(148,1),(175,1),(177,1),(178,1)}
       165:{3,5,7}:{(146,1),(147,1),(178,1)}
       166:{2,4,5,6}:{(147,1),(148,1),(149,1),(177,1),(178,1)}
       167:{2,3,5,7}:{(151,1),(154,1),(160,1),(179,1),(180,1),(181,1)}
       168:{2,3,6}:{(152,1),(155,1),(161,1)}
       169:{3,4,6,7}:{(153,1),(181,1),(188,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(156,1),(181,1),(182,1)}
       171:{2,5,6}:{(154,1),(155,1),(157,1)}
       172:{1,4,5,6}:{(156,1),(157,1),(159,1),(182,1),(183,1)}
       173:{3,4,5,6}:{(158,1),(159,1),(184,1)}
       174:{1,4,5,7}:{(160,1),(163,1),(179,1),(183,1)}
       175:{1,3,5,6}:{(160,1),(161,1),(162,1),(164,1),(180,1),(183,1)}
       176:{3,4,5,7}:{(163,1),(165,1),(184,1)}
       177:{2,4,6}:{(163,1),(164,1),(183,1),(184,1)}
       178:{3,5,6}:{(165,1),(166,1),(184,1)}
       179:{2,4,5,7}:{(167,1),(174,1),(185,1),(186,1)}
       180:{2,3,5,6}:{(167,1),(168,1),(171,1),(175,1),(186,1),(187,1)}
       181:{3,5,7}:{(169,1),(170,1),(187,1)}
       182:{2,4,5,6}:{(170,1),(171,1),(172,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(177,1),(186,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{2,4,6}:{(179,1),(180,1),(183,1),(188,1)}
       187:{3,5,6}:{(181,1),(182,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2796 :   0:{2,3,4,5,6}:{(2,1),(3,1),(41,1),(70,1),(117,1),(165,1)}
         1:{3,4,5,6,7}:{(5,1),(135,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(57,1),(148,1)}
         3:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(27,1),(93,1),(101,1),(141,1),(149,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(43,1),(68,1),(81,1),(180,1)}
         5:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(124,1),(155,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(14,1),(76,1),(117,1),(124,1)}
         7:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(39,1),(75,1),(125,1)}
         8:{2,4,5,6}:{(3,1),(15,1),(17,1),(119,1),(160,1)}
         9:{3,4,5,6,7}:{(18,1),(101,1),(168,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(89,1),(169,1)}
        11:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(49,1),(61,1),(107,1),(135,1),(170,1)}
        12:{2,3,5,6,7}:{(5,1),(6,1),(22,1),(138,1)}
        13:{1,4,5,6,7}:{(5,1),(22,1),(23,1),(99,1),(170,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(22,1),(24,1),(54,1),(55,1),(99,1),(141,1)}
        15:{2,4,5,7}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,2,4,5,6}:{(8,1),(25,1),(27,1),(60,1),(97,1),(146,1),(149,1),(151,1)}
        17:{2,3,5,6}:{(8,1),(26,1),(27,1),(28,1),(142,1),(173,1)}
        18:{2,4,5,6,7}:{(9,1),(29,1),(30,1),(126,1),(153,1)}
        19:{2,3,4,6,7}:{(10,1),(29,1),(31,1),(81,1),(112,1),(153,1)}
        20:{1,3,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(66,1),(111,1),(154,1)}
        21:{2,4,5,6}:{(11,1),(32,1),(34,1),(83,1),(131,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(14,1),(35,1),(36,1),(158,1)}
        23:{2,4,5,6,7}:{(13,1),(35,1),(36,1),(74,1),(180,1)}
        24:{2,4,6,7}:{(14,1),(15,1),(35,1),(38,1),(160,1)}
        25:{1,2,4,5,7}:{(15,1),(16,1),(37,1),(39,1),(79,1),(125,1),(128,1)}
        26:{2,3,5,7}:{(15,1),(17,1),(38,1),(39,1),(40,1)}
        27:{1,3,5,6}:{(16,1),(17,1),(39,1),(41,1),(42,1),(123,1),(163,1)}
        28:{2,3,4,6}:{(17,1),(40,1),(42,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(44,1),(104,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(45,1),(133,1),(149,1)}
        31:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(46,1),(86,1),(87,1),(107,1),(133,1)}
        32:{2,4,5,7}:{(20,1),(21,1),(46,1),(48,1)}
        33:{1,2,4,5,6}:{(21,1),(47,1),(49,1),(92,1),(97,1),(146,1),(170,1),(172,1)}
        34:{2,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(108,1),(152,1)}
        35:{2,5,6,7}:{(22,1),(24,1),(172,1)}
        36:{3,5,6,7}:{(23,1),(54,1),(186,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(55,1),(99,1),(102,1),(146,1)}
        38:{2,3,6,7}:{(24,1),(26,1),(55,1),(173,1)}
        39:{1,3,5,7}:{(25,1),(26,1),(27,1),(55,1),(57,1),(58,1)}
        40:{2,3,4,7}:{(26,1),(28,1),(58,1)}
        41:{2,3,5,6}:{(27,1),(57,1),(60,1),(108,1),(151,1),(152,1)}
        42:{1,3,4,6}:{(27,1),(28,1),(58,1),(60,1),(61,1)}
        43:{2,3,4,5}:{(28,1),(61,1),(142,1)}
        44:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(62,1),(63,1),(129,1)}
        45:{2,4,5,6,7}:{(30,1),(62,1),(63,1),(110,1),(165,1)}
        46:{2,4,6,7}:{(31,1),(32,1),(62,1),(65,1),(131,1)}
        47:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(115,1),(154,1),(157,1)}
        48:{2,3,5,7}:{(32,1),(34,1),(65,1),(66,1),(67,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(66,1),(68,1),(69,1),(123,1),(163,1)}
        50:{2,3,4,6}:{(34,1),(67,1),(69,1),(70,1)}
        51:{1,2,3,5,6}:{(41,1),(68,1),(71,1),(72,1),(123,1),(162,1),(163,1)}
        52:{1,2,5,6,7}:{(35,1),(37,1),(73,1),(128,1),(162,1)}
        53:{2,3,5,6,7}:{(35,1),(36,1),(38,1),(73,1),(74,1),(78,1),(182,1)}
        54:{3,4,6,7}:{(36,1),(74,1),(75,1),(188,1)}
        55:{1,3,6,7}:{(37,1),(38,1),(39,1),(76,1),(163,1)}
        56:{2,3,4,6,7}:{(38,1),(40,1),(74,1),(77,1),(78,1),(81,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(76,1),(79,1),(128,1)}
        58:{1,3,4,7}:{(39,1),(40,1),(42,1),(79,1)}
        59:{2,3,4,5,7}:{(40,1),(43,1),(78,1),(80,1),(81,1),(159,1),(181,1)}
        60:{2,4,6}:{(41,1),(42,1),(79,1),(83,1)}
        61:{1,3,4,5}:{(42,1),(43,1),(83,1),(123,1)}
        62:{2,5,6,7}:{(44,1),(46,1),(151,1)}
        63:{3,5,6,7}:{(45,1),(86,1),(177,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(84,1),(87,1),(133,1),(136,1),(146,1)}
        65:{2,3,6,7}:{(46,1),(48,1),(87,1),(152,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(89,1),(90,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(90,1)}
        68:{2,3,5,6}:{(49,1),(89,1),(92,1),(142,1),(172,1),(173,1)}
        69:{1,3,4,6}:{(49,1),(50,1),(90,1),(92,1),(93,1)}
        70:{2,3,4,5}:{(50,1),(93,1),(108,1)}
        71:{1,2,3,5,7}:{(51,1),(57,1),(89,1),(94,1),(95,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(51,1),(60,1),(92,1),(95,1),(96,1),(97,1)}
        73:{1,3,5,6,7}:{(52,1),(53,1),(55,1),(98,1),(99,1),(103,1),(175,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(99,1),(100,1),(187,1)}
        75:{3,4,5,7}:{(54,1),(100,1),(101,1)}
        76:{2,3,6,7}:{(55,1),(57,1),(102,1),(152,1)}
        77:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(99,1),(102,1),(103,1),(107,1),(147,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,4,7}:{(57,1),(58,1),(60,1)}
        80:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(103,1),(106,1),(107,1),(145,1),(174,1),(176,1)}
        81:{2,3,4,6}:{(59,1),(104,1),(107,1),(173,1),(187,1)}
        82:{2,3,4,6}:{(60,1),(96,1),(105,1),(108,1),(152,1)}
        83:{2,4,5}:{(60,1),(61,1),(108,1)}
        84:{1,2,5,6,7}:{(62,1),(64,1),(109,1),(157,1),(162,1)}
        85:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1),(114,1),(167,1)}
        86:{3,4,6,7}:{(63,1),(110,1),(111,1),(184,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(66,1),(112,1),(163,1)}
        88:{2,3,4,6,7}:{(65,1),(67,1),(110,1),(113,1),(114,1),(117,1)}
        89:{2,3,5,7}:{(66,1),(68,1),(112,1),(115,1),(157,1)}
        90:{1,3,4,7}:{(66,1),(67,1),(69,1),(115,1)}
        91:{2,3,4,5,7}:{(67,1),(70,1),(114,1),(116,1),(117,1),(130,1),(166,1)}
        92:{2,4,6}:{(68,1),(69,1),(115,1),(119,1)}
        93:{1,3,4,5}:{(69,1),(70,1),(119,1),(123,1)}
        94:{1,2,3,6,7}:{(71,1),(76,1),(112,1),(120,1),(163,1)}
        95:{1,2,4,7}:{(71,1),(72,1),(79,1),(115,1),(121,1)}
        96:{1,3,4,6}:{(72,1),(82,1),(118,1),(121,1),(123,1),(163,1)}
        97:{1,2,4,5}:{(72,1),(83,1),(119,1),(123,1)}
        98:{2,3,5,6,7}:{(73,1),(76,1),(124,1),(128,1),(164,1),(167,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(124,1),(125,1),(183,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(125,1),(126,1)}
       101:{3,4,5,6}:{(75,1),(126,1),(188,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(79,1),(128,1),(131,1)}
       103:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1),(164,1)}
       104:{2,3,5,6}:{(78,1),(81,1),(126,1),(129,1)}
       105:{2,3,4,7}:{(79,1),(82,1),(121,1),(130,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(83,1),(128,1),(130,1),(131,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(129,1),(131,1),(163,1),(183,1),(184,1)}
       108:{2,3,5}:{(82,1),(83,1),(123,1)}
       109:{1,3,5,6,7}:{(84,1),(85,1),(87,1),(132,1),(133,1),(137,1),(175,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(133,1),(134,1),(178,1)}
       111:{3,4,5,7}:{(86,1),(134,1),(135,1)}
       112:{2,3,6,7}:{(87,1),(89,1),(136,1),(173,1)}
       113:{1,3,4,6,7}:{(87,1),(88,1),(90,1),(133,1),(136,1),(137,1),(141,1),(168,1)}
       114:{2,3,5,7}:{(88,1),(134,1),(137,1),(138,1)}
       115:{2,4,7}:{(89,1),(90,1),(92,1)}
       116:{1,3,4,5,7}:{(90,1),(91,1),(93,1),(137,1),(140,1),(141,1),(145,1),(174,1),(185,1)}
       117:{2,3,4,6}:{(91,1),(138,1),(141,1),(152,1),(178,1)}
       118:{2,3,4,6}:{(92,1),(96,1),(139,1),(142,1),(173,1)}
       119:{2,4,5}:{(92,1),(93,1),(142,1)}
       120:{1,2,4,6,7}:{(94,1),(95,1),(102,1),(136,1),(143,1),(144,1),(146,1)}
       121:{1,3,4,7}:{(95,1),(96,1),(105,1),(139,1),(145,1)}
       122:{1,2,4,5,7}:{(95,1),(97,1),(106,1),(140,1),(144,1),(145,1),(146,1),(174,1)}
       123:{1,3,5}:{(96,1),(97,1),(108,1),(142,1)}
       124:{2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(178,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(148,1),(149,1)}
       126:{2,4,5,6}:{(100,1),(101,1),(104,1),(149,1),(187,1)}
       127:{2,3,4,6,7}:{(102,1),(105,1),(143,1),(147,1),(150,1),(152,1),(178,1)}
       128:{2,5,7}:{(102,1),(103,1),(151,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(107,1),(149,1),(151,1),(177,1)}
       130:{2,3,5,7}:{(105,1),(106,1),(108,1),(145,1),(152,1)}
       131:{2,4,6}:{(106,1),(107,1),(151,1),(152,1)}
       132:{2,3,5,6,7}:{(109,1),(112,1),(153,1),(157,1),(179,1),(182,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(153,1),(154,1),(183,1)}
       134:{2,4,5,7}:{(110,1),(111,1),(114,1),(154,1),(155,1)}
       135:{3,4,5,6}:{(111,1),(155,1),(184,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(115,1),(157,1),(160,1)}
       137:{1,3,5,7}:{(113,1),(114,1),(154,1),(157,1),(158,1),(179,1)}
       138:{2,3,5,6}:{(114,1),(117,1),(155,1),(158,1)}
       139:{2,3,4,7}:{(115,1),(118,1),(121,1),(159,1)}
       140:{2,4,5,7}:{(115,1),(116,1),(119,1),(157,1),(159,1),(160,1)}
       141:{1,3,4,6}:{(116,1),(117,1),(158,1),(160,1),(163,1),(183,1),(188,1)}
       142:{2,3,5}:{(118,1),(119,1),(123,1)}
       143:{1,3,4,6,7}:{(120,1),(121,1),(127,1),(156,1),(161,1),(163,1),(183,1)}
       144:{1,2,5,7}:{(120,1),(128,1),(157,1),(161,1),(162,1)}
       145:{1,3,5,7}:{(121,1),(122,1),(123,1),(130,1),(159,1),(163,1)}
       146:{1,2,4,6}:{(122,1),(131,1),(160,1),(162,1),(163,1),(183,1)}
       147:{3,4,6,7}:{(124,1),(164,1),(184,1)}
       148:{2,4,5,7}:{(124,1),(125,1),(128,1),(164,1),(165,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(129,1),(165,1),(183,1)}
       150:{2,3,5,7}:{(127,1),(128,1),(161,1),(164,1),(166,1),(167,1)}
       151:{2,5,6}:{(128,1),(129,1),(131,1)}
       152:{2,3,6}:{(130,1),(131,1),(163,1)}
       153:{2,4,6,7}:{(132,1),(133,1),(168,1),(169,1),(187,1)}
       154:{1,4,5,7}:{(133,1),(134,1),(137,1),(169,1),(170,1)}
       155:{2,4,5,6}:{(134,1),(135,1),(138,1),(170,1),(178,1)}
       156:{2,3,4,6,7}:{(136,1),(139,1),(143,1),(168,1),(171,1),(173,1),(187,1)}
       157:{2,5,7}:{(136,1),(137,1),(172,1)}
       158:{1,3,5,6}:{(137,1),(138,1),(141,1),(170,1),(172,1),(186,1)}
       159:{2,3,5,7}:{(139,1),(140,1),(142,1),(145,1),(173,1)}
       160:{2,4,6}:{(140,1),(141,1),(172,1),(173,1)}
       161:{1,3,5,7}:{(143,1),(144,1),(150,1),(171,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(144,1),(146,1),(151,1),(172,1),(175,1)}
       163:{1,3,6}:{(145,1),(146,1),(152,1),(173,1)}
       164:{3,5,7}:{(147,1),(148,1),(177,1)}
       165:{2,4,5,6}:{(148,1),(149,1),(151,1),(177,1),(178,1)}
       166:{2,4,5,7}:{(150,1),(174,1),(176,1),(178,1)}
       167:{2,3,5,6}:{(150,1),(151,1),(152,1),(175,1),(177,1),(178,1)}
       168:{3,4,6,7}:{(153,1),(179,1),(188,1)}
       169:{2,4,5,7}:{(153,1),(154,1),(157,1),(179,1),(180,1)}
       170:{1,4,5,6}:{(154,1),(155,1),(158,1),(180,1),(183,1)}
       171:{2,3,5,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(182,1)}
       172:{2,5,6}:{(157,1),(158,1),(160,1)}
       173:{2,3,6}:{(159,1),(160,1),(163,1)}
       174:{1,4,5,7}:{(161,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,6}:{(161,1),(162,1),(163,1),(167,1),(182,1),(183,1)}
       176:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       177:{3,5,6}:{(164,1),(165,1),(184,1)}
       178:{2,4,6}:{(166,1),(167,1),(183,1),(184,1)}
       179:{3,5,7}:{(168,1),(169,1),(186,1)}
       180:{2,4,5,6}:{(169,1),(170,1),(172,1),(186,1),(187,1)}
       181:{2,4,5,7}:{(171,1),(174,1),(185,1),(187,1)}
       182:{2,3,5,6}:{(171,1),(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,5,6}:{(179,1),(180,1),(188,1)}
       187:{2,4,6}:{(181,1),(182,1),(183,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2797 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2798 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(24,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(81,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(35,1),(40,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         7:{2,3,4,5}:{(10,1),(15,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(71,1),(76,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(91,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(21,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(56,1)}
        13:{1,2,3,5,7}:{(5,1),(24,1),(26,1),(52,1),(56,1)}
        14:{1,2,3,6}:{(6,1),(25,1)}
        15:{2,3,4,6}:{(7,1),(21,1),(27,1),(28,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(28,1),(29,1),(59,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(33,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(15,1),(33,1),(35,1),(36,1)}
        22:{1,3,4,5,7}:{(10,1),(12,1),(16,1),(34,1),(36,1),(37,1),(70,1)}
        23:{1,2,4,5,6}:{(11,1),(17,1),(35,1),(38,1),(40,1),(64,1),(71,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(36,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(37,1),(40,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(39,1),(69,1)}
        27:{2,3,5,6}:{(15,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,7}:{(15,1),(36,1),(42,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,6}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(80,1)}
        35:{1,3,5,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,7}:{(21,1),(24,1),(28,1),(49,1),(52,1)}
        37:{1,3,4,6}:{(22,1),(25,1),(29,1),(50,1),(54,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(53,1),(56,1)}
        40:{1,2,5,6}:{(25,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(60,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(52,1),(58,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(53,1),(58,1),(59,1),(86,1)}
        44:{2,3,5,6}:{(29,1),(54,1),(59,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(33,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,7}:{(33,1),(36,1),(65,1)}
        50:{2,3,4,6}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(71,1),(92,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(69,1),(70,1),(94,1)}
        54:{1,3,5,6}:{(37,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(70,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(75,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,3,5,7}:{(43,1),(44,1),(70,1),(75,1)}
        60:{2,4,5,6}:{(44,1),(71,1),(75,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(49,1),(52,1),(78,1),(79,1)}
        66:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(79,1),(80,1),(98,1)}
        67:{2,3,5,6}:{(50,1),(54,1),(80,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,3,5,7}:{(53,1),(54,1),(56,1),(59,1),(80,1),(84,1)}
        71:{1,4,5,6}:{(54,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(61,1),(83,1),(86,1),(88,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        76:{3,4,5,6}:{(60,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,3,5,7}:{(66,1),(67,1),(70,1),(91,1)}
        81:{2,4,5,6}:{(67,1),(71,1),(91,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(75,1),(91,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(75,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(80,1),(83,1),(97,1),(98,1),(104,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(81,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2799 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2800 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2801 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2802 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(63,1),(70,1),(100,1),(145,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(145,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(45,1),(93,1),(124,1),(162,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(162,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(98,1),(113,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(28,1),(61,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(28,1),(30,1),(147,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(28,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(106,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(74,1),(89,1),(137,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(128,1),(130,1),(157,1),(166,1)}
        28:{2,4,5,7}:{(17,1),(18,1),(19,1),(44,1)}
        29:{1,2,4,5,6}:{(18,1),(43,1),(45,1),(88,1),(93,1),(132,1),(139,1),(166,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(163,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(44,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(130,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(113,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(53,1),(96,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(53,1),(55,1),(115,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(106,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(105,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(69,1),(111,1),(116,1)}
        44:{2,3,5,7}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(61,1),(63,1),(64,1),(153,1),(172,1)}
        46:{2,3,4,6}:{(30,1),(62,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(62,1),(67,1),(68,1),(113,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(152,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(106,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(137,1)}
        53:{2,4,5,7}:{(37,1),(38,1),(71,1),(73,1)}
        54:{1,2,4,5,6}:{(38,1),(72,1),(74,1),(123,1),(132,1),(164,1),(166,1),(173,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(138,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(130,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(130,1),(139,1),(164,1),(166,1),(173,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(86,1)}
        62:{2,3,4,7}:{(44,1),(46,1),(86,1)}
        63:{2,3,5,6}:{(45,1),(85,1),(88,1),(138,1),(139,1),(167,1)}
        64:{1,3,4,6}:{(45,1),(46,1),(86,1),(88,1),(89,1)}
        65:{2,3,4,5}:{(46,1),(89,1),(163,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(86,1),(90,1),(91,1),(137,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(130,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(53,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(96,1),(143,1),(148,1),(168,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(95,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(96,1),(98,1),(99,1),(153,1),(172,1)}
        75:{2,3,4,6}:{(55,1),(97,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(106,1)}
        79:{1,3,4,5,7}:{(59,1),(105,1),(106,1)}
        80:{1,2,3,5,6}:{(63,1),(98,1),(104,1),(107,1),(153,1),(154,1),(172,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(152,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(105,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(106,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(63,1),(66,1),(111,1),(116,1)}
        86:{1,3,4,7}:{(61,1),(62,1),(64,1),(111,1)}
        87:{2,3,4,5,7}:{(62,1),(65,1),(68,1),(105,1),(112,1),(113,1),(170,1)}
        88:{2,4,6}:{(63,1),(64,1),(111,1),(115,1)}
        89:{1,3,4,5}:{(64,1),(65,1),(115,1),(153,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(111,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(113,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(152,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(73,1),(118,1),(167,1)}
        96:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(121,1)}
        97:{2,3,4,7}:{(73,1),(75,1),(121,1)}
        98:{2,3,5,6}:{(74,1),(120,1),(123,1),(163,1),(173,1),(174,1)}
        99:{1,3,4,6}:{(74,1),(75,1),(121,1),(123,1),(124,1)}
       100:{2,3,4,5}:{(75,1),(124,1),(138,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(130,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(80,1),(81,1),(85,1),(120,1),(128,1),(133,1),(165,1)}
       105:{2,4,5,7}:{(79,1),(83,1),(129,1),(130,1)}
       106:{1,3,4,6}:{(79,1),(84,1),(130,1)}
       107:{1,2,4,6}:{(80,1),(88,1),(123,1),(128,1),(131,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(128,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(129,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(130,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,4,7}:{(85,1),(86,1),(88,1)}
       112:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(91,1),(129,1),(136,1),(137,1),(165,1)}
       113:{2,3,4,6}:{(87,1),(92,1),(130,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(88,1),(131,1),(135,1),(138,1),(167,1)}
       115:{2,4,5}:{(88,1),(89,1),(138,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(137,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(96,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(97,1),(102,1),(141,1),(142,1),(145,1)}
       120:{2,3,5,7}:{(96,1),(98,1),(140,1),(143,1),(168,1)}
       121:{1,3,4,7}:{(96,1),(97,1),(99,1),(143,1)}
       122:{2,3,4,5,7}:{(97,1),(100,1),(105,1),(142,1),(144,1),(145,1),(155,1)}
       123:{2,4,6}:{(98,1),(99,1),(143,1),(147,1)}
       124:{1,3,4,5}:{(99,1),(100,1),(147,1),(153,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(152,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(106,1),(149,1),(169,1)}
       128:{1,2,4,7}:{(104,1),(107,1),(111,1),(143,1),(150,1)}
       129:{1,4,5,7}:{(105,1),(109,1),(152,1)}
       130:{2,4,6}:{(105,1),(106,1),(110,1),(152,1)}
       131:{1,3,4,6}:{(107,1),(114,1),(146,1),(150,1),(153,1),(172,1)}
       132:{1,2,4,5}:{(107,1),(115,1),(147,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(152,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(114,1),(150,1),(155,1)}
       136:{2,4,5,7}:{(111,1),(112,1),(115,1),(116,1),(155,1),(156,1)}
       137:{1,3,4,6}:{(112,1),(113,1),(117,1),(152,1),(156,1),(172,1)}
       138:{2,3,5}:{(114,1),(115,1),(153,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(121,1),(125,1),(157,1),(158,1),(162,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,4,7}:{(120,1),(121,1),(123,1)}
       144:{1,3,4,5,7}:{(121,1),(122,1),(124,1),(129,1),(158,1),(161,1),(162,1),(165,1)}
       145:{2,3,4,6}:{(122,1),(130,1),(159,1),(162,1),(167,1)}
       146:{2,3,4,6}:{(123,1),(131,1),(160,1),(163,1),(174,1)}
       147:{2,4,5}:{(123,1),(124,1),(163,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(130,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(131,1),(135,1),(160,1),(165,1)}
       151:{1,2,4,5,7}:{(128,1),(129,1),(132,1),(133,1),(136,1),(161,1),(165,1),(166,1)}
       152:{1,4,6}:{(129,1),(130,1),(134,1)}
       153:{1,3,5}:{(131,1),(132,1),(138,1),(163,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(138,1),(165,1),(167,1)}
       156:{2,4,6}:{(136,1),(137,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(143,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(145,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(146,1),(150,1),(170,1)}
       161:{2,4,5,7}:{(143,1),(144,1),(147,1),(168,1),(170,1),(171,1)}
       162:{1,3,4,6}:{(144,1),(145,1),(152,1),(169,1),(171,1),(172,1)}
       163:{2,3,5}:{(146,1),(147,1),(153,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(152,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(153,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(151,1),(152,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(162,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(163,1),(165,1),(174,1)}
       171:{2,4,6}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2803 :   0:{3,4,5,6,7}:{(1,1),(69,1),(147,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(52,1),(162,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(33,1),(89,1),(99,1),(138,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(156,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(39,1),(174,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(43,1),(70,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(41,1),(71,1),(114,1),(153,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(49,1),(52,1),(138,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(168,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(29,1),(181,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(30,1),(31,1),(53,1)}
        11:{2,4,5,6}:{(6,1),(15,1),(17,1),(131,1),(165,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(36,1),(39,1),(153,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(177,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(185,1)}
        15:{2,4,5,7}:{(10,1),(11,1),(18,1),(23,1)}
        16:{1,2,4,5,6}:{(11,1),(22,1),(24,1),(46,1),(71,1),(75,1),(105,1),(113,1)}
        17:{2,3,5,6}:{(11,1),(23,1),(24,1),(25,1),(111,1),(150,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(15,1),(27,1),(165,1)}
        19:{1,2,5,6,7}:{(13,1),(26,1),(28,1),(85,1),(124,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(27,1),(28,1),(29,1),(51,1),(159,1)}
        21:{3,4,6,7}:{(14,1),(29,1),(30,1),(180,1)}
        22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(31,1),(53,1),(58,1),(85,1)}
        23:{2,3,5,7}:{(15,1),(17,1),(27,1),(31,1),(32,1)}
        24:{1,3,5,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(94,1),(134,1)}
        25:{2,3,4,6}:{(17,1),(32,1),(34,1),(35,1)}
        26:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(36,1),(39,1),(66,1),(113,1)}
        27:{2,3,6,7}:{(18,1),(23,1),(36,1),(150,1)}
        28:{1,3,5,6,7}:{(19,1),(20,1),(36,1),(38,1),(39,1),(67,1),(143,1)}
        29:{2,4,6,7}:{(20,1),(21,1),(39,1),(40,1),(172,1)}
        30:{3,4,5,7}:{(21,1),(40,1),(41,1)}
        31:{1,3,5,7}:{(22,1),(23,1),(24,1),(36,1),(43,1),(44,1)}
        32:{2,3,4,7}:{(23,1),(25,1),(44,1)}
        33:{2,3,5,6}:{(24,1),(43,1),(46,1),(80,1),(105,1),(118,1)}
        34:{1,3,4,6}:{(24,1),(25,1),(44,1),(46,1),(47,1)}
        35:{2,3,4,5}:{(25,1),(47,1),(111,1)}
        36:{1,3,6,7}:{(26,1),(27,1),(31,1),(49,1),(134,1)}
        37:{2,3,4,6,7}:{(27,1),(29,1),(32,1),(50,1),(51,1),(60,1)}
        38:{2,3,5,6,7}:{(28,1),(49,1),(52,1),(85,1),(88,1),(126,1)}
        39:{1,4,6,7}:{(28,1),(29,1),(52,1),(53,1),(160,1)}
        40:{2,4,5,7}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{3,4,5,6}:{(30,1),(54,1),(180,1)}
        42:{1,2,3,5,6}:{(33,1),(56,1),(57,1),(94,1),(124,1),(132,1),(134,1)}
        43:{2,3,5,7}:{(31,1),(33,1),(49,1),(58,1),(85,1)}
        44:{1,3,4,7}:{(31,1),(32,1),(34,1),(58,1)}
        45:{2,3,4,5,7}:{(32,1),(35,1),(51,1),(59,1),(60,1),(130,1),(158,1)}
        46:{2,4,6}:{(33,1),(34,1),(58,1),(62,1)}
        47:{1,3,4,5}:{(34,1),(35,1),(62,1),(94,1)}
        48:{2,3,4,5,6}:{(35,1),(60,1),(63,1),(64,1),(132,1),(181,1)}
        49:{2,3,6,7}:{(36,1),(43,1),(66,1),(118,1)}
        50:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(44,1),(66,1),(67,1),(69,1),(78,1)}
        51:{2,3,5,7}:{(37,1),(40,1),(67,1),(68,1)}
        52:{2,4,6,7}:{(38,1),(39,1),(69,1),(70,1),(145,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(67,1),(70,1),(71,1)}
        54:{2,4,5,6}:{(40,1),(41,1),(68,1),(71,1),(172,1)}
        55:{3,4,5,6,7}:{(41,1),(72,1),(186,1)}
        56:{1,2,3,5,7}:{(42,1),(43,1),(65,1),(73,1),(103,1),(112,1),(152,1)}
        57:{1,2,4,6}:{(42,1),(46,1),(73,1),(74,1),(75,1),(151,1)}
        58:{2,4,7}:{(43,1),(44,1),(46,1)}
        59:{1,3,4,5,7}:{(44,1),(45,1),(47,1),(67,1),(77,1),(78,1),(107,1),(112,1),(142,1)}
        60:{2,3,4,6}:{(45,1),(68,1),(78,1),(150,1),(172,1)}
        61:{2,3,4,6}:{(46,1),(74,1),(76,1),(80,1),(118,1)}
        62:{2,4,5}:{(46,1),(47,1),(80,1)}
        63:{1,3,4,5,6}:{(47,1),(48,1),(78,1),(81,1),(82,1),(115,1),(147,1),(174,1)}
        64:{2,3,4,5,7}:{(48,1),(79,1),(82,1),(152,1),(187,1)}
        65:{1,2,3,6,7}:{(49,1),(56,1),(83,1),(134,1),(166,1)}
        66:{2,4,6,7}:{(49,1),(50,1),(58,1),(85,1),(97,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(85,1),(86,1),(88,1)}
        68:{2,3,5,6}:{(51,1),(54,1),(60,1),(86,1)}
        69:{3,4,6,7}:{(52,1),(88,1),(128,1)}
        70:{2,4,5,7}:{(52,1),(53,1),(85,1),(88,1),(89,1)}
        71:{1,4,5,6}:{(53,1),(54,1),(86,1),(89,1),(160,1)}
        72:{2,4,5,6,7}:{(54,1),(55,1),(87,1),(90,1),(182,1)}
        73:{1,2,4,7}:{(56,1),(57,1),(58,1),(92,1),(167,1)}
        74:{1,3,4,6}:{(57,1),(61,1),(91,1),(92,1),(94,1),(134,1)}
        75:{1,2,4,5}:{(57,1),(62,1),(94,1),(131,1)}
        76:{2,3,4,7}:{(58,1),(61,1),(92,1),(96,1)}
        77:{2,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(96,1),(97,1)}
        78:{1,3,4,6}:{(59,1),(60,1),(86,1),(97,1),(128,1),(134,1),(160,1)}
        79:{2,3,4,6,7}:{(60,1),(64,1),(87,1),(98,1),(166,1),(182,1)}
        80:{2,3,5}:{(61,1),(62,1),(94,1)}
        81:{2,4,5,6}:{(62,1),(63,1),(97,1),(100,1),(101,1)}
        82:{1,3,4,5,7}:{(63,1),(64,1),(98,1),(101,1),(137,1),(164,1),(183,1)}
        83:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(102,1),(103,1),(113,1),(178,1)}
        84:{2,3,4,6,7}:{(66,1),(69,1),(76,1),(102,1),(104,1),(118,1),(145,1)}
        85:{2,5,7}:{(66,1),(67,1),(105,1)}
        86:{1,3,5,6}:{(67,1),(68,1),(71,1),(78,1),(105,1),(108,1)}
        87:{2,3,5,6,7}:{(68,1),(72,1),(79,1),(106,1)}
        88:{3,5,7}:{(69,1),(70,1),(108,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(145,1)}
        90:{1,4,5,6,7}:{(71,1),(72,1),(106,1),(109,1),(175,1)}
        91:{2,3,4,6}:{(74,1),(110,1),(111,1),(150,1),(151,1)}
        92:{1,3,4,7}:{(73,1),(74,1),(76,1),(110,1),(112,1)}
        93:{1,2,4,5,7}:{(73,1),(75,1),(77,1),(103,1),(112,1),(113,1),(142,1),(149,1)}
        94:{1,3,5}:{(74,1),(75,1),(80,1),(111,1)}
        95:{1,2,4,5,6}:{(75,1),(81,1),(113,1),(115,1),(116,1),(151,1),(174,1),(177,1)}
        96:{2,3,5,7}:{(76,1),(77,1),(80,1),(112,1),(118,1)}
        97:{2,4,6}:{(77,1),(78,1),(105,1),(118,1)}
        98:{1,3,4,6,7}:{(78,1),(79,1),(82,1),(106,1),(119,1),(148,1),(154,1),(175,1)}
        99:{2,3,4,5}:{(80,1),(114,1),(120,1)}
       100:{2,3,5,6}:{(80,1),(81,1),(115,1),(118,1),(120,1),(121,1)}
       101:{2,4,5,7}:{(81,1),(82,1),(119,1),(121,1)}
       102:{1,3,4,6,7}:{(83,1),(84,1),(92,1),(122,1),(123,1),(134,1),(160,1)}
       103:{1,2,5,7}:{(83,1),(85,1),(123,1),(124,1),(184,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(123,1),(125,1),(126,1)}
       105:{2,5,6}:{(85,1),(86,1),(97,1)}
       106:{1,3,5,6,7}:{(86,1),(87,1),(90,1),(98,1),(127,1),(129,1)}
       107:{3,4,5,7}:{(88,1),(125,1),(128,1)}
       108:{3,5,6}:{(88,1),(89,1),(128,1)}
       109:{2,4,5,6,7}:{(89,1),(90,1),(127,1),(129,1),(163,1)}
       110:{2,3,4,7}:{(91,1),(92,1),(130,1),(167,1)}
       111:{2,3,5}:{(91,1),(94,1),(131,1)}
       112:{1,3,5,7}:{(92,1),(93,1),(94,1),(96,1),(130,1),(134,1)}
       113:{1,2,4,6}:{(93,1),(97,1),(124,1),(134,1),(160,1),(165,1)}
       114:{1,3,4,5}:{(94,1),(99,1),(131,1),(136,1)}
       115:{1,3,5,6}:{(94,1),(95,1),(100,1),(132,1),(134,1),(136,1),(137,1)}
       116:{1,2,4,5,7}:{(95,1),(101,1),(135,1),(137,1),(167,1),(183,1),(184,1)}
       117:{2,3,4,5,7}:{(96,1),(99,1),(125,1),(133,1),(138,1),(140,1),(170,1)}
       118:{2,3,6}:{(96,1),(97,1),(134,1)}
       119:{2,4,6,7}:{(97,1),(98,1),(101,1),(127,1),(139,1)}
       120:{2,3,4,6}:{(99,1),(100,1),(136,1),(140,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(137,1),(139,1),(140,1)}
       122:{2,3,4,6,7}:{(102,1),(110,1),(141,1),(150,1),(172,1),(178,1),(186,1)}
       123:{1,3,5,7}:{(102,1),(103,1),(104,1),(141,1),(142,1),(143,1)}
       124:{1,2,5,6}:{(103,1),(105,1),(113,1),(143,1),(177,1)}
       125:{2,4,5,7}:{(104,1),(107,1),(142,1),(145,1)}
       126:{2,3,5,6}:{(104,1),(105,1),(108,1),(118,1),(143,1),(145,1)}
       127:{2,5,6,7}:{(105,1),(106,1),(119,1)}
       128:{3,4,6}:{(107,1),(108,1),(145,1)}
       129:{3,5,6,7}:{(108,1),(109,1),(148,1)}
       130:{2,3,5,7}:{(110,1),(111,1),(112,1),(149,1),(150,1)}
       131:{2,4,5}:{(111,1),(114,1),(151,1)}
       132:{2,3,5,6}:{(111,1),(115,1),(150,1),(151,1),(152,1),(177,1)}
       133:{1,3,4,5,7}:{(112,1),(114,1),(117,1),(142,1),(149,1),(153,1),(155,1),(171,1),(179,1)}
       134:{1,3,6}:{(112,1),(113,1),(118,1),(150,1)}
       135:{1,2,4,6,7}:{(113,1),(116,1),(119,1),(144,1),(154,1),(175,1),(178,1)}
       136:{1,3,4,6}:{(114,1),(115,1),(120,1),(151,1),(155,1)}
       137:{1,3,5,7}:{(115,1),(116,1),(121,1),(152,1),(154,1),(155,1)}
       138:{2,3,4,6}:{(117,1),(118,1),(145,1),(153,1),(156,1)}
       139:{2,3,6,7}:{(118,1),(119,1),(121,1),(154,1)}
       140:{2,3,4,7}:{(120,1),(121,1),(155,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(158,1),(159,1),(184,1),(188,1)}
       142:{1,4,5,7}:{(123,1),(125,1),(158,1),(160,1)}
       143:{1,3,5,6}:{(123,1),(124,1),(126,1),(134,1),(159,1),(160,1)}
       144:{1,2,5,6,7}:{(124,1),(127,1),(135,1),(161,1),(184,1)}
       145:{2,4,6}:{(125,1),(126,1),(128,1),(160,1)}
       146:{2,3,5,6,7}:{(126,1),(127,1),(129,1),(139,1),(161,1),(163,1),(170,1)}
       147:{3,4,5,6}:{(128,1),(162,1),(164,1)}
       148:{3,4,6,7}:{(128,1),(129,1),(163,1),(164,1)}
       149:{2,4,5,7}:{(130,1),(131,1),(133,1),(165,1),(167,1),(184,1)}
       150:{2,3,6}:{(130,1),(134,1),(165,1)}
       151:{2,4,6}:{(131,1),(132,1),(136,1),(167,1)}
       152:{2,3,5,7}:{(132,1),(137,1),(166,1),(167,1),(184,1)}
       153:{1,3,4,6}:{(133,1),(134,1),(138,1),(160,1),(165,1),(168,1),(180,1)}
       154:{1,3,6,7}:{(134,1),(135,1),(137,1),(139,1),(166,1)}
       155:{1,3,4,7}:{(136,1),(137,1),(140,1),(167,1)}
       156:{2,3,5,6}:{(138,1),(162,1),(168,1),(170,1)}
       157:{2,3,4,6,7}:{(138,1),(139,1),(140,1),(163,1),(169,1),(170,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(171,1),(172,1)}
       159:{2,3,5,6}:{(141,1),(143,1),(150,1),(172,1),(177,1),(185,1)}
       160:{1,4,6}:{(142,1),(143,1),(145,1),(172,1)}
       161:{1,3,5,6,7}:{(143,1),(144,1),(146,1),(154,1),(173,1),(175,1),(179,1)}
       162:{2,4,5,6}:{(145,1),(147,1),(156,1),(174,1),(176,1)}
       163:{2,4,6,7}:{(145,1),(146,1),(148,1),(175,1),(176,1)}
       164:{3,4,5,7}:{(147,1),(148,1),(176,1)}
       165:{2,4,6}:{(149,1),(150,1),(153,1),(177,1)}
       166:{2,3,6,7}:{(150,1),(152,1),(154,1),(178,1)}
       167:{2,4,7}:{(151,1),(152,1),(155,1)}
       168:{1,3,5,6}:{(153,1),(156,1),(174,1),(177,1),(179,1),(185,1)}
       169:{1,3,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(175,1),(178,1),(179,1),(186,1)}
       170:{2,3,5,7}:{(156,1),(157,1),(176,1),(179,1)}
       171:{3,4,5,7}:{(158,1),(180,1),(188,1)}
       172:{2,4,6}:{(158,1),(159,1),(160,1),(180,1)}
       173:{2,3,5,6,7}:{(159,1),(161,1),(166,1),(182,1),(184,1),(188,1)}
       174:{1,4,5,6}:{(160,1),(162,1),(168,1),(181,1),(183,1)}
       175:{1,4,6,7}:{(160,1),(161,1),(163,1),(182,1),(183,1)}
       176:{2,4,5,7}:{(162,1),(163,1),(164,1),(170,1),(183,1)}
       177:{2,5,6}:{(165,1),(168,1),(184,1)}
       178:{2,4,6,7}:{(165,1),(166,1),(167,1),(169,1),(184,1)}
       179:{1,3,5,7}:{(168,1),(169,1),(170,1),(183,1),(184,1),(188,1)}
       180:{3,4,6}:{(171,1),(172,1),(185,1)}
       181:{2,4,5,6}:{(172,1),(174,1),(177,1),(185,1),(187,1)}
       182:{2,4,6,7}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,5,7}:{(174,1),(175,1),(176,1),(179,1),(187,1)}
       184:{2,5,7}:{(177,1),(178,1),(179,1)}
       185:{3,5,6}:{(180,1),(181,1),(188,1)}
       186:{3,4,6,7}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,7}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,7}:{(185,1),(186,1),(187,1)}

2804 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(83,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(69,1),(92,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(11,1),(25,1),(27,1),(55,1),(81,1)}
        4:{1,2,3,6}:{(1,1),(8,1)}
        5:{1,2,3,5}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(29,1),(30,1),(53,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(19,1),(34,1),(39,1),(41,1),(67,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
        9:{1,2,3,6,7}:{(4,1),(15,1),(17,1),(64,1),(92,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(38,1)}
       11:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(45,1),(53,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(24,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(25,1),(27,1),(81,1),(96,1)}
       16:{1,2,5,6}:{(8,1),(24,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1),(27,1),(51,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(27,1),(28,1)}
       19:{1,3,4,5}:{(11,1),(28,1),(29,1)}
       20:{2,3,4,6,7}:{(12,1),(23,1),(30,1),(53,1),(56,1),(78,1)}
       21:{2,3,5,6}:{(12,1),(24,1),(30,1),(31,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(20,1),(32,1),(34,1),(39,1),(61,1),(64,1),(67,1),(90,1)}
       24:{1,3,5,6}:{(14,1),(16,1),(21,1),(33,1),(34,1),(35,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(37,1),(38,1),(63,1)}
       27:{1,2,4,7}:{(17,1),(18,1),(39,1)}
       28:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1),(40,1)}
       29:{2,3,4,5}:{(19,1),(40,1),(41,1)}
       30:{2,3,5,7}:{(20,1),(21,1),(34,1),(43,1)}
       31:{2,4,5,6}:{(21,1),(35,1),(43,1),(44,1)}
       32:{2,3,4,6,7}:{(22,1),(23,1),(45,1),(53,1),(72,1),(78,1)}
       33:{2,3,5,6}:{(22,1),(24,1),(45,1),(46,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(30,1),(45,1),(48,1)}
       35:{1,4,5,6}:{(24,1),(31,1),(46,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(76,1)}
       38:{1,3,5,6}:{(26,1),(28,1),(51,1),(52,1)}
       39:{1,3,4,7}:{(27,1),(28,1),(51,1),(53,1)}
       40:{2,3,4,6}:{(28,1),(29,1),(52,1),(53,1),(54,1)}
       41:{1,3,4,5}:{(29,1),(54,1),(55,1)}
       42:{2,3,5,6,7}:{(30,1),(47,1),(56,1),(78,1),(84,1),(94,1)}
       43:{2,4,5,7}:{(30,1),(31,1),(48,1),(56,1),(57,1)}
       44:{3,4,5,6}:{(31,1),(57,1)}
       45:{2,3,5,7}:{(32,1),(33,1),(34,1),(59,1)}
       46:{2,4,5,6}:{(33,1),(35,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(42,1),(58,1),(61,1),(64,1),(90,1),(97,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(43,1),(59,1),(61,1)}
       49:{1,3,4,5,6}:{(35,1),(38,1),(44,1),(60,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(61,1),(64,1),(88,1)}
       51:{1,3,5,7}:{(37,1),(38,1),(39,1),(64,1),(65,1)}
       52:{2,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(66,1)}
       53:{2,3,4,7}:{(39,1),(40,1),(65,1),(67,1)}
       54:{1,3,4,6}:{(40,1),(41,1),(66,1),(67,1),(68,1)}
       55:{1,2,4,5}:{(41,1),(68,1),(69,1)}
       56:{2,4,6,7}:{(42,1),(43,1),(61,1),(71,1)}
       57:{3,4,5,7}:{(43,1),(44,1),(71,1)}
       58:{2,3,5,6,7}:{(45,1),(47,1),(72,1),(78,1),(93,1),(94,1)}
       59:{2,4,5,7}:{(45,1),(46,1),(48,1),(72,1),(73,1)}
       60:{3,4,5,6}:{(46,1),(73,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(56,1),(72,1)}
       62:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(57,1),(73,1),(75,1),(76,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(76,1),(77,1)}
       64:{1,3,6,7}:{(50,1),(51,1),(78,1)}
       65:{2,3,5,7}:{(51,1),(52,1),(53,1),(76,1),(78,1),(79,1)}
       66:{1,3,5,6}:{(52,1),(54,1),(77,1),(79,1),(80,1)}
       67:{1,3,4,7}:{(53,1),(54,1),(79,1),(81,1)}
       68:{1,2,4,6}:{(54,1),(55,1),(80,1),(81,1),(82,1)}
       69:{1,2,3,5}:{(55,1),(82,1),(83,1)}
       70:{2,4,5,6,7}:{(56,1),(74,1),(84,1),(94,1)}
       71:{3,4,6,7}:{(56,1),(57,1),(84,1)}
       72:{2,4,6,7}:{(58,1),(59,1),(61,1),(86,1)}
       73:{3,4,5,7}:{(59,1),(60,1),(86,1)}
       74:{1,4,5,6,7}:{(61,1),(70,1),(85,1),(87,1),(97,1)}
       75:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(71,1),(86,1),(87,1),(88,1)}
       76:{2,4,5,7}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
       79:{1,3,5,7}:{(65,1),(66,1),(67,1),(89,1),(90,1),(91,1)}
       80:{1,2,5,6}:{(66,1),(68,1),(91,1)}
       81:{1,2,4,7}:{(67,1),(68,1),(91,1),(92,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,3,4}:{(69,1)}
       84:{3,5,6,7}:{(70,1),(71,1)}
       85:{2,4,5,6,7}:{(72,1),(74,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(72,1),(73,1),(93,1)}
       87:{1,3,5,6,7}:{(74,1),(75,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(75,1),(76,1),(78,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(76,1),(77,1),(79,1),(95,1)}
       90:{1,3,6,7}:{(78,1),(79,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
       92:{1,2,3,7}:{(81,1),(82,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2805 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(16,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1),(18,1)}
       11:{1,2,5,6}:{(6,1),(17,1),(19,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{2,3,5,6}:{(8,1),(17,1),(20,1),(21,1)}
       14:{2,3,4,7}:{(8,1),(18,1),(21,1)}
       15:{3,4,5,6}:{(20,1),(22,1)}
       16:{2,3,4,6}:{(9,1),(10,1),(23,1),(24,1)}
       17:{1,3,5,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
       18:{1,3,4,7}:{(10,1),(12,1),(14,1),(24,1),(26,1)}
       19:{1,2,5,7}:{(11,1),(12,1),(26,1),(27,1)}
       20:{2,4,5,6}:{(13,1),(15,1),(25,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       22:{3,4,5,7}:{(15,1),(28,1),(30,1)}
       23:{2,3,5,6}:{(16,1),(17,1),(31,1),(32,1)}
       24:{2,3,4,7}:{(16,1),(18,1),(32,1)}
       25:{1,4,5,6}:{(17,1),(20,1),(31,1),(33,1)}
       26:{1,3,5,7}:{(17,1),(18,1),(19,1),(21,1),(32,1),(33,1),(34,1)}
       27:{1,2,6,7}:{(19,1),(34,1)}
       28:{2,4,5,7}:{(20,1),(21,1),(22,1),(33,1),(35,1)}
       29:{2,3,6,7}:{(21,1),(34,1),(35,1)}
       30:{3,4,6,7}:{(22,1),(35,1),(36,1)}
       31:{2,4,5,6}:{(23,1),(25,1),(37,1),(38,1)}
       32:{2,3,5,7}:{(23,1),(24,1),(26,1),(38,1),(39,1)}
       33:{1,4,5,7}:{(25,1),(26,1),(28,1),(38,1),(40,1)}
       34:{1,3,6,7}:{(26,1),(27,1),(29,1),(39,1),(40,1)}
       35:{2,4,6,7}:{(28,1),(29,1),(30,1),(40,1),(41,1)}
       36:{3,5,6,7}:{(30,1),(41,1),(42,1)}
       37:{3,4,5,6}:{(31,1),(43,1)}
       38:{2,4,5,7}:{(31,1),(32,1),(33,1),(43,1),(44,1)}
       39:{2,3,6,7}:{(32,1),(34,1),(44,1)}
       40:{1,4,6,7}:{(33,1),(34,1),(35,1),(44,1),(45,1)}
       41:{2,5,6,7}:{(35,1),(36,1),(45,1)}
       42:{4,5,6,7}:{(36,1)}
       43:{3,4,5,7}:{(37,1),(38,1),(46,1)}
       44:{2,4,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{1,5,6,7}:{(40,1),(41,1),(47,1)}
       46:{3,4,6,7}:{(43,1),(44,1),(48,1)}
       47:{2,5,6,7}:{(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2806 :   0:{2,3,4,5}:{(3,1),(4,1),(63,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(151,1),(168,1)}
         2:{1,2,3,5}:{(8,1),(9,1),(43,1),(44,1)}
         3:{1,3,4,5}:{(0,1),(12,1),(13,1),(44,1),(55,1),(96,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(13,1),(14,1),(92,1),(138,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(17,1),(18,1),(138,1),(164,1)}
         6:{3,4,5,7}:{(1,1),(16,1),(18,1),(163,1),(173,1)}
         7:{2,3,4,5}:{(19,1),(20,1),(28,1),(74,1)}
         8:{1,2,3,6}:{(2,1),(21,1),(22,1),(70,1)}
         9:{1,2,4}:{(2,1),(23,1)}
        10:{2,3,5,6}:{(4,1),(5,1),(26,1),(27,1)}
        11:{2,3,4}:{(23,1),(28,1)}
        12:{2,4,5}:{(3,1),(28,1),(29,1)}
        13:{1,3,4,6}:{(3,1),(4,1),(26,1),(29,1),(30,1),(70,1),(81,1),(122,1)}
        14:{2,3,4,7}:{(4,1),(27,1),(30,1),(118,1),(155,1)}
        15:{4,5,6,7}:{(31,1),(174,1)}
        16:{3,4,6,7}:{(6,1),(31,1),(32,1)}
        17:{1,4,5,6}:{(5,1),(26,1),(33,1),(34,1),(122,1),(156,1)}
        18:{2,4,5,7}:{(5,1),(6,1),(27,1),(32,1),(34,1),(155,1),(170,1)}
        19:{1,3,4,5}:{(7,1),(38,1),(39,1),(44,1),(96,1),(132,1)}
        20:{2,3,4,6}:{(7,1),(36,1),(39,1),(40,1),(51,1),(103,1)}
        21:{1,2,3,7}:{(8,1),(41,1),(99,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(41,1),(42,1),(43,1),(95,1)}
        23:{1,3,4}:{(9,1),(11,1),(37,1),(44,1)}
        24:{1,2,4,5}:{(9,1),(12,1),(38,1),(43,1),(44,1),(45,1),(96,1)}
        25:{2,3,4,6}:{(11,1),(42,1),(46,1),(48,1),(51,1),(101,1),(103,1)}
        26:{1,3,5,6}:{(10,1),(13,1),(17,1),(49,1),(50,1),(56,1)}
        27:{2,3,5,7}:{(10,1),(14,1),(18,1),(47,1),(50,1)}
        28:{2,3,5}:{(11,1),(12,1),(44,1),(51,1)}
        29:{2,4,6}:{(12,1),(13,1),(49,1),(51,1),(52,1)}
        30:{1,3,4,7}:{(13,1),(14,1),(50,1),(52,1),(99,1),(108,1),(142,1)}
        31:{3,5,6,7}:{(15,1),(16,1),(53,1),(173,1)}
        32:{2,4,6,7}:{(16,1),(18,1),(47,1),(53,1),(54,1)}
        33:{2,4,5,6}:{(17,1),(49,1),(56,1),(57,1),(103,1),(143,1),(145,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(50,1),(54,1),(57,1),(142,1),(166,1)}
        35:{3,4,5,6}:{(58,1),(59,1),(81,1),(128,1)}
        36:{2,3,5,6}:{(20,1),(58,1),(61,1),(62,1)}
        37:{2,3,4}:{(23,1),(63,1)}
        38:{2,4,5}:{(19,1),(63,1),(64,1)}
        39:{1,3,4,6}:{(19,1),(20,1),(61,1),(64,1),(65,1),(70,1),(122,1),(151,1)}
        40:{2,3,4,7}:{(20,1),(62,1),(65,1),(77,1),(126,1)}
        41:{1,2,4,7}:{(21,1),(22,1),(66,1),(67,1)}
        42:{1,3,4,6}:{(22,1),(23,1),(25,1),(60,1),(66,1),(68,1),(70,1),(120,1),(122,1)}
        43:{1,2,5}:{(22,1),(68,1)}
        44:{1,3,5}:{(23,1),(24,1),(28,1),(63,1),(70,1)}
        45:{1,2,4,6}:{(24,1),(29,1),(64,1),(69,1),(70,1),(71,1),(122,1)}
        46:{2,3,4,7}:{(25,1),(66,1),(72,1),(77,1),(126,1)}
        47:{2,3,6,7}:{(27,1),(32,1),(73,1)}
        48:{2,3,5}:{(25,1),(68,1),(74,1)}
        49:{2,5,6}:{(26,1),(29,1),(76,1)}
        50:{1,3,5,7}:{(26,1),(27,1),(30,1),(34,1),(73,1),(76,1),(82,1)}
        51:{2,3,6}:{(28,1),(29,1),(70,1),(77,1)}
        52:{2,4,7}:{(29,1),(30,1),(76,1),(77,1)}
        53:{2,5,6,7}:{(31,1),(32,1),(78,1),(170,1)}
        54:{1,4,6,7}:{(32,1),(34,1),(73,1),(78,1),(80,1)}
        55:{3,4,5}:{(74,1),(81,1)}
        56:{3,5,6}:{(33,1),(81,1),(82,1)}
        57:{2,4,5,7}:{(33,1),(34,1),(76,1),(80,1),(82,1),(126,1),(158,1),(159,1)}
        58:{2,4,5,6}:{(35,1),(36,1),(85,1),(86,1),(103,1),(143,1)}
        59:{3,4,5,7}:{(35,1),(84,1),(86,1),(108,1),(147,1)}
        60:{2,3,4,6}:{(37,1),(42,1),(87,1),(89,1),(92,1),(136,1),(138,1)}
        61:{1,3,5,6}:{(36,1),(39,1),(85,1),(90,1),(91,1),(133,1)}
        62:{2,3,5,7}:{(36,1),(40,1),(86,1),(88,1),(91,1)}
        63:{2,3,5}:{(37,1),(38,1),(44,1),(92,1)}
        64:{2,4,6}:{(38,1),(39,1),(90,1),(92,1),(93,1)}
        65:{1,3,4,7}:{(39,1),(40,1),(91,1),(93,1),(99,1),(142,1),(163,1)}
        66:{1,3,4,7}:{(41,1),(42,1),(46,1),(87,1),(94,1),(99,1),(142,1)}
        67:{1,2,5,7}:{(41,1),(43,1),(94,1),(95,1)}
        68:{1,3,5}:{(42,1),(43,1),(48,1),(89,1),(96,1)}
        69:{1,2,5,6}:{(43,1),(45,1),(49,1),(90,1),(95,1),(97,1),(98,1)}
        70:{1,3,6}:{(44,1),(45,1),(51,1),(92,1),(99,1)}
        71:{1,2,4,7}:{(45,1),(52,1),(93,1),(98,1),(99,1),(142,1)}
        72:{2,3,5,7}:{(46,1),(48,1),(94,1),(100,1),(101,1)}
        73:{1,3,6,7}:{(47,1),(50,1),(54,1),(102,1),(107,1)}
        74:{2,4,5}:{(48,1),(55,1),(96,1),(103,1)}
        75:{2,3,5,6}:{(48,1),(49,1),(51,1),(56,1),(97,1),(101,1),(103,1),(104,1),(143,1)}
        76:{2,5,7}:{(49,1),(50,1),(52,1),(102,1)}
        77:{2,3,7}:{(51,1),(52,1),(99,1)}
        78:{1,5,6,7}:{(53,1),(54,1),(105,1),(166,1)}
        79:{3,4,5,7}:{(55,1),(100,1),(106,1),(108,1),(147,1)}
        80:{2,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(107,1),(146,1)}
        81:{3,4,6}:{(55,1),(56,1),(103,1),(108,1)}
        82:{3,5,7}:{(56,1),(57,1),(107,1),(108,1)}
        83:{4,5,6,7}:{(109,1),(159,1)}
        84:{3,4,6,7}:{(59,1),(109,1),(110,1)}
        85:{1,4,5,6}:{(58,1),(61,1),(111,1),(112,1),(122,1),(156,1)}
        86:{2,4,5,7}:{(58,1),(59,1),(62,1),(110,1),(112,1),(126,1),(158,1)}
        87:{2,3,4,7}:{(60,1),(66,1),(113,1),(118,1),(155,1)}
        88:{2,3,6,7}:{(62,1),(110,1),(114,1)}
        89:{2,3,5}:{(60,1),(68,1),(115,1)}
        90:{2,5,6}:{(61,1),(64,1),(117,1)}
        91:{1,3,5,7}:{(61,1),(62,1),(65,1),(112,1),(114,1),(117,1),(152,1)}
        92:{2,3,6}:{(63,1),(64,1),(70,1),(118,1)}
        93:{2,4,7}:{(64,1),(65,1),(117,1),(118,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(68,1),(72,1),(113,1),(119,1),(120,1)}
        95:{1,2,6}:{(67,1),(120,1)}
        96:{1,4,5}:{(68,1),(74,1),(115,1),(122,1)}
        97:{1,3,5,6}:{(68,1),(69,1),(70,1),(75,1),(116,1),(120,1),(122,1),(123,1),(156,1)}
        98:{1,2,5,7}:{(69,1),(71,1),(76,1),(117,1),(121,1),(123,1)}
        99:{1,3,7}:{(70,1),(71,1),(77,1),(118,1)}
       100:{2,4,5,7}:{(72,1),(74,1),(79,1),(119,1),(124,1),(126,1),(158,1)}
       101:{2,3,6}:{(72,1),(120,1),(124,1)}
       102:{2,6,7}:{(73,1),(76,1)}
       103:{2,4,6}:{(74,1),(75,1),(81,1),(122,1),(126,1)}
       104:{2,3,5,7}:{(75,1),(76,1),(77,1),(82,1),(123,1),(125,1),(126,1),(158,1)}
       105:{2,5,6,7}:{(78,1),(80,1),(127,1),(158,1)}
       106:{3,4,6}:{(79,1),(124,1),(128,1)}
       107:{3,6,7}:{(80,1),(82,1)}
       108:{3,4,7}:{(81,1),(82,1),(126,1)}
       109:{3,5,6,7}:{(83,1),(84,1),(130,1),(147,1)}
       110:{2,4,6,7}:{(84,1),(86,1),(88,1),(130,1),(131,1)}
       111:{2,4,5,6}:{(85,1),(90,1),(133,1),(134,1),(138,1),(164,1),(171,1)}
       112:{1,4,5,7}:{(85,1),(86,1),(91,1),(131,1),(134,1),(142,1),(166,1)}
       113:{2,3,5,7}:{(87,1),(89,1),(94,1),(135,1),(136,1)}
       114:{1,3,6,7}:{(88,1),(91,1),(131,1),(137,1),(162,1)}
       115:{2,4,5}:{(89,1),(96,1),(132,1),(138,1)}
       116:{2,3,5,6}:{(89,1),(90,1),(92,1),(97,1),(133,1),(136,1),(138,1),(139,1),(164,1)}
       117:{2,5,7}:{(90,1),(91,1),(93,1),(137,1)}
       118:{2,3,7}:{(92,1),(93,1),(99,1)}
       119:{1,4,5,7}:{(94,1),(96,1),(100,1),(135,1),(140,1),(142,1),(166,1)}
       120:{1,3,6}:{(94,1),(95,1),(101,1),(136,1),(140,1)}
       121:{1,2,6,7}:{(95,1),(98,1),(102,1),(137,1),(141,1)}
       122:{1,4,6}:{(96,1),(97,1),(103,1),(138,1),(142,1)}
       123:{1,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(139,1),(141,1),(142,1),(166,1)}
       124:{2,4,6}:{(100,1),(101,1),(106,1),(140,1),(143,1)}
       125:{2,3,6,7}:{(101,1),(102,1),(104,1),(107,1),(141,1),(144,1)}
       126:{2,4,7}:{(103,1),(104,1),(108,1),(142,1)}
       127:{3,5,6,7}:{(105,1),(107,1),(146,1),(147,1)}
       128:{3,5,6}:{(106,1),(143,1),(145,1),(147,1)}
       129:{3,4,6,7}:{(106,1),(107,1),(108,1),(144,1),(146,1),(147,1)}
       130:{2,5,6,7}:{(109,1),(110,1),(148,1),(158,1)}
       131:{1,4,6,7}:{(110,1),(112,1),(114,1),(148,1),(150,1)}
       132:{3,4,5}:{(115,1),(151,1)}
       133:{3,5,6}:{(111,1),(151,1),(152,1)}
       134:{2,4,5,7}:{(111,1),(112,1),(117,1),(150,1),(152,1),(155,1),(170,1),(174,1)}
       135:{2,4,5,7}:{(113,1),(115,1),(119,1),(149,1),(153,1),(155,1),(170,1)}
       136:{2,3,6}:{(113,1),(120,1),(153,1)}
       137:{2,6,7}:{(114,1),(117,1)}
       138:{2,4,6}:{(115,1),(116,1),(122,1),(151,1),(155,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(123,1),(152,1),(154,1),(155,1),(170,1)}
       140:{1,4,6}:{(119,1),(120,1),(124,1),(153,1),(156,1)}
       141:{1,3,6,7}:{(120,1),(121,1),(123,1),(125,1),(154,1),(157,1)}
       142:{1,4,7}:{(122,1),(123,1),(126,1),(155,1)}
       143:{2,5,6}:{(124,1),(128,1),(156,1),(158,1)}
       144:{2,4,6,7}:{(124,1),(125,1),(126,1),(129,1),(157,1),(158,1)}
       145:{4,5,6}:{(128,1),(159,1)}
       146:{4,6,7}:{(127,1),(159,1)}
       147:{3,5,7}:{(128,1),(129,1),(158,1),(159,1)}
       148:{1,5,6,7}:{(130,1),(131,1),(160,1),(166,1)}
       149:{3,4,5,7}:{(132,1),(135,1),(161,1),(163,1),(173,1)}
       150:{2,4,6,7}:{(131,1),(134,1),(137,1),(160,1),(162,1),(172,1)}
       151:{3,4,6}:{(132,1),(133,1),(138,1),(163,1)}
       152:{3,5,7}:{(133,1),(134,1),(162,1),(163,1)}
       153:{2,4,6}:{(135,1),(136,1),(140,1),(161,1),(164,1)}
       154:{2,3,6,7}:{(136,1),(137,1),(139,1),(141,1),(162,1),(165,1)}
       155:{2,4,7}:{(138,1),(139,1),(142,1),(163,1)}
       156:{1,5,6}:{(140,1),(143,1),(164,1),(166,1)}
       157:{1,4,6,7}:{(140,1),(141,1),(142,1),(144,1),(165,1),(166,1)}
       158:{2,5,7}:{(143,1),(144,1),(147,1),(166,1)}
       159:{4,5,7}:{(145,1),(146,1),(147,1)}
       160:{2,5,6,7}:{(148,1),(150,1),(167,1),(170,1)}
       161:{3,4,6}:{(149,1),(153,1),(168,1)}
       162:{3,6,7}:{(150,1),(152,1)}
       163:{3,4,7}:{(151,1),(152,1),(155,1)}
       164:{2,5,6}:{(153,1),(156,1),(168,1),(170,1)}
       165:{2,4,6,7}:{(153,1),(154,1),(155,1),(157,1),(169,1),(170,1)}
       166:{1,5,7}:{(156,1),(157,1),(158,1),(170,1)}
       167:{3,5,6,7}:{(160,1),(162,1),(172,1),(173,1)}
       168:{3,5,6}:{(161,1),(164,1),(171,1),(173,1)}
       169:{3,4,6,7}:{(161,1),(162,1),(163,1),(165,1),(172,1),(173,1)}
       170:{2,5,7}:{(164,1),(165,1),(166,1),(173,1)}
       171:{4,5,6}:{(168,1),(174,1)}
       172:{4,6,7}:{(167,1),(174,1)}
       173:{3,5,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2807 :   0:{4,5,6,7}:{(3,1),(172,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(145,1),(162,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(107,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(169,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1),(14,1),(128,1),(153,1)}
         5:{3,4,5,7}:{(1,1),(9,1),(14,1),(158,1),(169,1)}
         6:{1,2,3,5}:{(11,1),(15,1),(40,1),(48,1)}
         7:{1,3,4,5}:{(2,1),(17,1),(18,1),(44,1),(48,1),(85,1)}
         8:{2,3,4,6}:{(2,1),(12,1),(18,1),(19,1),(93,1),(128,1)}
         9:{3,4,6,7}:{(3,1),(5,1),(21,1)}
        10:{2,5,6,7}:{(3,1),(21,1),(22,1),(164,1)}
        11:{1,2,3,6}:{(6,1),(20,1),(23,1),(70,1)}
        12:{2,3,5,6}:{(4,1),(8,1),(25,1),(26,1)}
        13:{1,4,5,6}:{(4,1),(25,1),(27,1),(28,1),(109,1),(141,1)}
        14:{2,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(28,1),(147,1),(164,1)}
        15:{1,2,4}:{(6,1),(29,1)}
        16:{2,3,4}:{(29,1),(31,1)}
        17:{2,4,5}:{(7,1),(31,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(25,1),(32,1),(33,1),(66,1),(70,1),(109,1)}
        19:{2,3,4,7}:{(8,1),(26,1),(33,1),(115,1),(147,1)}
        20:{1,2,3,7}:{(11,1),(34,1),(95,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(14,1),(36,1),(37,1)}
        22:{1,5,6,7}:{(10,1),(37,1),(38,1),(155,1)}
        23:{1,2,4,6}:{(11,1),(15,1),(34,1),(39,1),(40,1),(76,1)}
        24:{2,3,4,6}:{(16,1),(35,1),(39,1),(41,1),(51,1),(78,1),(88,1)}
        25:{1,3,5,6}:{(12,1),(13,1),(18,1),(42,1),(43,1),(45,1)}
        26:{2,3,5,7}:{(12,1),(14,1),(19,1),(36,1),(43,1)}
        27:{2,4,5,6}:{(13,1),(42,1),(45,1),(46,1),(82,1),(88,1),(123,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(37,1),(43,1),(46,1),(131,1),(155,1)}
        29:{1,3,4}:{(15,1),(16,1),(47,1),(48,1)}
        30:{1,2,4,5}:{(15,1),(17,1),(40,1),(48,1),(49,1),(85,1),(92,1)}
        31:{2,3,5}:{(16,1),(17,1),(48,1),(51,1)}
        32:{2,4,6}:{(17,1),(18,1),(42,1),(51,1),(52,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(43,1),(52,1),(91,1),(95,1),(131,1)}
        34:{1,2,4,7}:{(20,1),(23,1),(53,1),(54,1)}
        35:{2,3,4,7}:{(24,1),(53,1),(55,1),(73,1),(112,1)}
        36:{2,3,6,7}:{(21,1),(26,1),(56,1)}
        37:{1,4,6,7}:{(21,1),(22,1),(28,1),(56,1),(58,1)}
        38:{2,5,6,7}:{(22,1),(58,1),(59,1),(143,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(29,1),(53,1),(60,1),(61,1),(70,1),(100,1),(109,1)}
        40:{1,2,5}:{(23,1),(61,1)}
        41:{2,3,5}:{(24,1),(61,1),(63,1)}
        42:{2,5,6}:{(25,1),(32,1),(65,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(28,1),(33,1),(56,1),(65,1),(67,1)}
        44:{3,4,5}:{(63,1),(66,1)}
        45:{3,5,6}:{(27,1),(66,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(58,1),(65,1),(67,1),(106,1),(112,1),(143,1)}
        47:{2,3,4}:{(29,1),(68,1)}
        48:{1,3,5}:{(29,1),(30,1),(31,1),(68,1),(70,1)}
        49:{1,2,4,6}:{(30,1),(32,1),(62,1),(70,1),(71,1),(109,1),(114,1)}
        50:{2,3,4,5}:{(31,1),(63,1),(69,1),(72,1)}
        51:{2,3,6}:{(31,1),(32,1),(70,1),(73,1)}
        52:{2,4,7}:{(32,1),(33,1),(65,1),(73,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(39,1),(74,1),(75,1),(95,1),(131,1)}
        54:{1,2,5,7}:{(34,1),(40,1),(75,1),(76,1)}
        55:{2,3,5,7}:{(35,1),(41,1),(75,1),(77,1),(78,1)}
        56:{1,3,6,7}:{(36,1),(37,1),(43,1),(79,1),(81,1)}
        57:{3,4,5,7}:{(44,1),(77,1),(80,1),(91,1),(125,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(46,1),(79,1),(81,1),(83,1)}
        59:{3,5,6,7}:{(38,1),(81,1),(83,1),(125,1)}
        60:{2,3,4,6}:{(39,1),(47,1),(74,1),(84,1),(93,1),(120,1),(128,1)}
        61:{1,3,5}:{(39,1),(40,1),(41,1),(84,1),(85,1)}
        62:{1,2,5,6}:{(40,1),(42,1),(49,1),(76,1),(86,1),(87,1),(134,1)}
        63:{2,4,5}:{(41,1),(44,1),(85,1),(88,1)}
        64:{2,3,5,6}:{(41,1),(42,1),(45,1),(51,1),(78,1),(86,1),(88,1),(89,1),(123,1)}
        65:{2,5,7}:{(42,1),(43,1),(52,1),(79,1)}
        66:{3,4,6}:{(44,1),(45,1),(88,1),(91,1)}
        67:{3,5,7}:{(45,1),(46,1),(81,1),(91,1)}
        68:{2,3,5}:{(47,1),(48,1),(92,1),(93,1)}
        69:{1,3,4,5}:{(48,1),(50,1),(85,1),(92,1),(94,1),(127,1)}
        70:{1,3,6}:{(48,1),(49,1),(51,1),(93,1),(95,1)}
        71:{1,2,4,7}:{(49,1),(52,1),(87,1),(95,1),(131,1),(135,1)}
        72:{2,3,4,6}:{(50,1),(51,1),(88,1),(94,1),(96,1),(97,1)}
        73:{2,3,7}:{(51,1),(52,1),(95,1)}
        74:{2,3,4,7}:{(53,1),(60,1),(98,1),(115,1),(147,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(55,1),(61,1),(98,1),(99,1),(100,1)}
        76:{1,2,6}:{(54,1),(100,1)}
        77:{2,4,5,7}:{(55,1),(57,1),(63,1),(99,1),(102,1),(112,1),(143,1)}
        78:{2,3,6}:{(55,1),(100,1),(102,1)}
        79:{2,6,7}:{(56,1),(65,1)}
        80:{3,4,6}:{(57,1),(102,1),(104,1)}
        81:{3,6,7}:{(58,1),(67,1)}
        82:{4,5,6}:{(104,1),(106,1)}
        83:{4,6,7}:{(59,1),(106,1)}
        84:{2,3,5}:{(60,1),(61,1),(107,1)}
        85:{1,4,5}:{(61,1),(63,1),(107,1),(109,1)}
        86:{1,3,5,6}:{(61,1),(62,1),(64,1),(70,1),(100,1),(108,1),(109,1),(110,1),(141,1)}
        87:{1,2,5,7}:{(62,1),(65,1),(71,1),(101,1),(110,1),(150,1)}
        88:{2,4,6}:{(63,1),(64,1),(66,1),(109,1),(112,1)}
        89:{2,3,5,7}:{(64,1),(65,1),(67,1),(73,1),(103,1),(110,1),(112,1),(143,1)}
        90:{3,4,5,6}:{(66,1),(104,1),(111,1),(113,1)}
        91:{3,4,7}:{(66,1),(67,1),(112,1)}
        92:{2,4,5}:{(68,1),(69,1),(114,1)}
        93:{2,3,6}:{(68,1),(70,1),(114,1),(115,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(72,1),(109,1),(114,1),(116,1),(117,1),(145,1)}
        95:{1,3,7}:{(70,1),(71,1),(73,1),(115,1)}
        96:{2,3,5,6}:{(72,1),(111,1),(116,1),(118,1)}
        97:{2,3,4,7}:{(72,1),(73,1),(112,1),(117,1),(118,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(84,1),(119,1),(120,1)}
        99:{1,4,5,7}:{(75,1),(77,1),(85,1),(119,1),(121,1),(131,1),(155,1)}
       100:{1,3,6}:{(75,1),(76,1),(78,1),(120,1),(121,1)}
       101:{1,2,6,7}:{(76,1),(79,1),(87,1),(122,1),(161,1)}
       102:{2,4,6}:{(77,1),(78,1),(80,1),(121,1),(123,1)}
       103:{2,3,6,7}:{(78,1),(79,1),(81,1),(89,1),(122,1),(124,1)}
       104:{3,5,6}:{(80,1),(82,1),(123,1),(125,1)}
       105:{3,4,6,7}:{(80,1),(81,1),(83,1),(91,1),(124,1),(125,1)}
       106:{4,5,7}:{(82,1),(83,1),(125,1)}
       107:{2,4,5}:{(84,1),(85,1),(127,1),(128,1)}
       108:{2,3,5,6}:{(84,1),(86,1),(93,1),(120,1),(128,1),(129,1),(134,1),(153,1),(157,1)}
       109:{1,4,6}:{(85,1),(86,1),(88,1),(128,1),(131,1)}
       110:{1,3,5,7}:{(86,1),(87,1),(89,1),(95,1),(122,1),(129,1),(131,1),(155,1)}
       111:{2,4,5,6}:{(88,1),(90,1),(96,1),(123,1),(130,1),(132,1)}
       112:{2,4,7}:{(88,1),(89,1),(91,1),(131,1)}
       113:{3,4,5,7}:{(90,1),(91,1),(125,1),(132,1),(133,1)}
       114:{2,4,6}:{(92,1),(93,1),(94,1),(134,1),(135,1)}
       115:{2,3,7}:{(93,1),(95,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(96,1),(130,1),(134,1),(136,1),(157,1)}
       117:{1,3,4,7}:{(94,1),(95,1),(97,1),(131,1),(135,1),(136,1),(158,1)}
       118:{2,3,5,7}:{(96,1),(97,1),(132,1),(136,1),(137,1)}
       119:{2,4,5,7}:{(98,1),(99,1),(107,1),(138,1),(139,1),(147,1),(164,1)}
       120:{2,3,6}:{(98,1),(100,1),(139,1)}
       121:{1,4,6}:{(99,1),(100,1),(102,1),(139,1),(141,1)}
       122:{1,3,6,7}:{(100,1),(101,1),(103,1),(110,1),(140,1),(142,1)}
       123:{2,5,6}:{(102,1),(104,1),(141,1),(143,1)}
       124:{2,4,6,7}:{(102,1),(103,1),(105,1),(112,1),(142,1),(143,1)}
       125:{3,5,7}:{(104,1),(105,1),(106,1),(143,1)}
       126:{4,5,6,7}:{(106,1),(144,1)}
       127:{3,4,5}:{(107,1),(145,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1),(147,1)}
       129:{2,3,5,7}:{(108,1),(110,1),(115,1),(140,1),(147,1),(150,1),(164,1),(166,1)}
       130:{1,4,5,6}:{(109,1),(111,1),(116,1),(141,1),(146,1),(148,1)}
       131:{1,4,7}:{(109,1),(110,1),(112,1),(147,1)}
       132:{2,4,5,7}:{(111,1),(112,1),(113,1),(118,1),(143,1),(148,1),(149,1)}
       133:{3,4,6,7}:{(113,1),(144,1),(149,1)}
       134:{2,5,6}:{(114,1),(116,1),(150,1)}
       135:{2,4,7}:{(114,1),(115,1),(117,1),(150,1)}
       136:{1,3,5,7}:{(116,1),(117,1),(118,1),(148,1),(150,1),(151,1),(166,1)}
       137:{2,3,6,7}:{(118,1),(149,1),(151,1)}
       138:{3,4,5,7}:{(119,1),(127,1),(152,1),(158,1),(169,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(152,1),(153,1)}
       140:{2,3,6,7}:{(120,1),(122,1),(129,1),(154,1),(161,1),(171,1)}
       141:{1,5,6}:{(121,1),(123,1),(153,1),(155,1)}
       142:{1,4,6,7}:{(121,1),(122,1),(124,1),(131,1),(154,1),(155,1)}
       143:{2,5,7}:{(123,1),(124,1),(125,1),(155,1)}
       144:{3,5,6,7}:{(125,1),(126,1),(133,1),(156,1)}
       145:{3,4,6}:{(127,1),(128,1),(157,1),(158,1)}
       146:{2,4,5,6}:{(128,1),(130,1),(134,1),(153,1),(157,1),(159,1),(168,1)}
       147:{2,4,7}:{(128,1),(129,1),(131,1),(158,1)}
       148:{1,4,5,7}:{(130,1),(131,1),(132,1),(136,1),(155,1),(159,1),(160,1)}
       149:{2,4,6,7}:{(132,1),(133,1),(137,1),(156,1),(160,1)}
       150:{2,5,7}:{(134,1),(135,1),(136,1),(161,1)}
       151:{1,3,6,7}:{(136,1),(137,1),(160,1),(161,1),(171,1)}
       152:{3,4,6}:{(138,1),(139,1),(162,1)}
       153:{2,5,6}:{(139,1),(141,1),(162,1),(164,1)}
       154:{2,4,6,7}:{(139,1),(140,1),(142,1),(147,1),(163,1),(164,1)}
       155:{1,5,7}:{(141,1),(142,1),(143,1),(164,1)}
       156:{2,5,6,7}:{(143,1),(144,1),(149,1),(165,1)}
       157:{3,5,6}:{(145,1),(146,1),(166,1)}
       158:{3,4,7}:{(145,1),(147,1),(166,1)}
       159:{2,4,5,7}:{(146,1),(147,1),(148,1),(150,1),(164,1),(166,1),(167,1),(172,1)}
       160:{1,4,6,7}:{(148,1),(149,1),(151,1),(165,1),(167,1)}
       161:{2,6,7}:{(150,1),(151,1)}
       162:{3,5,6}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(152,1),(154,1),(158,1),(169,1),(171,1),(174,1)}
       164:{2,5,7}:{(153,1),(154,1),(155,1),(169,1)}
       165:{1,5,6,7}:{(155,1),(156,1),(160,1),(170,1)}
       166:{3,5,7}:{(157,1),(158,1),(159,1),(171,1)}
       167:{2,4,6,7}:{(159,1),(160,1),(161,1),(170,1),(171,1),(174,1)}
       168:{4,5,6}:{(162,1),(172,1)}
       169:{3,5,7}:{(162,1),(163,1),(164,1),(172,1)}
       170:{2,5,6,7}:{(164,1),(165,1),(167,1),(173,1)}
       171:{3,6,7}:{(166,1),(167,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6,7}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,6,7}:{(172,1),(173,1)}

2808 :   0:{2,3,4,5}:{(3,1),(4,1),(55,1),(144,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(141,1),(173,1)}
         2:{4,5,6,7}:{(7,1),(172,1)}
         3:{2,3,4,6}:{(0,1),(9,1),(10,1),(11,1),(79,1),(124,1)}
         4:{1,3,4,5}:{(0,1),(11,1),(12,1),(36,1),(94,1),(129,1)}
         5:{3,4,5,7}:{(1,1),(13,1),(14,1),(154,1),(169,1)}
         6:{2,4,5,6}:{(1,1),(9,1),(14,1),(15,1),(124,1),(171,1)}
         7:{3,5,6,7}:{(2,1),(13,1),(16,1),(169,1)}
         8:{2,3,4,5}:{(17,1),(18,1),(25,1),(113,1)}
         9:{2,3,5,6}:{(3,1),(6,1),(21,1),(22,1)}
        10:{2,3,4,7}:{(3,1),(21,1),(23,1),(103,1),(143,1)}
        11:{1,3,4,6}:{(3,1),(4,1),(22,1),(23,1),(24,1),(58,1),(69,1),(107,1)}
        12:{2,4,5}:{(4,1),(24,1),(25,1)}
        13:{3,4,6,7}:{(5,1),(7,1),(26,1)}
        14:{2,4,5,7}:{(5,1),(6,1),(21,1),(26,1),(27,1),(143,1),(165,1)}
        15:{1,4,5,6}:{(6,1),(22,1),(27,1),(28,1),(107,1),(167,1)}
        16:{2,5,6,7}:{(7,1),(26,1),(29,1),(165,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(32,1),(33,1),(43,1),(89,1)}
        18:{1,3,4,5}:{(8,1),(33,1),(34,1),(36,1),(129,1),(155,1)}
        19:{1,2,4,5}:{(12,1),(34,1),(35,1),(36,1),(38,1),(86,1),(129,1)}
        20:{1,2,3,5}:{(36,1),(37,1),(38,1),(86,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(14,1),(39,1),(40,1)}
        22:{1,3,5,6}:{(9,1),(11,1),(15,1),(40,1),(41,1),(47,1)}
        23:{1,3,4,7}:{(10,1),(11,1),(40,1),(42,1),(83,1),(93,1),(128,1)}
        24:{2,4,6}:{(11,1),(12,1),(41,1),(42,1),(43,1)}
        25:{2,3,5}:{(12,1),(36,1),(43,1),(44,1)}
        26:{2,4,6,7}:{(13,1),(14,1),(16,1),(39,1),(45,1)}
        27:{1,4,5,7}:{(14,1),(15,1),(40,1),(45,1),(46,1),(128,1),(159,1)}
        28:{2,4,5,6}:{(15,1),(41,1),(46,1),(47,1),(89,1),(137,1),(161,1)}
        29:{1,5,6,7}:{(16,1),(45,1),(48,1),(159,1)}
        30:{3,4,5,6}:{(49,1),(50,1),(69,1),(151,1)}
        31:{2,3,5,6}:{(17,1),(50,1),(51,1),(52,1)}
        32:{2,3,4,7}:{(17,1),(51,1),(53,1),(65,1),(112,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(52,1),(53,1),(54,1),(58,1),(107,1),(141,1)}
        34:{2,4,5}:{(18,1),(54,1),(55,1)}
        35:{1,2,4,6}:{(19,1),(24,1),(54,1),(56,1),(57,1),(58,1),(107,1)}
        36:{1,3,5}:{(19,1),(25,1),(55,1),(58,1),(59,1)}
        37:{1,2,3,6}:{(20,1),(58,1),(60,1),(61,1)}
        38:{1,2,4}:{(20,1),(59,1)}
        39:{2,3,6,7}:{(21,1),(26,1),(62,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(23,1),(27,1),(62,1),(63,1),(68,1)}
        41:{2,5,6}:{(22,1),(24,1),(63,1)}
        42:{2,4,7}:{(23,1),(24,1),(63,1),(65,1)}
        43:{2,3,6}:{(24,1),(25,1),(58,1),(65,1)}
        44:{2,3,4}:{(25,1),(59,1)}
        45:{1,4,6,7}:{(26,1),(27,1),(29,1),(62,1),(67,1)}
        46:{2,4,5,7}:{(27,1),(28,1),(63,1),(67,1),(68,1),(112,1),(117,1),(149,1)}
        47:{3,5,6}:{(28,1),(68,1),(69,1)}
        48:{2,5,6,7}:{(29,1),(67,1),(70,1),(149,1)}
        49:{3,4,5,7}:{(30,1),(72,1),(73,1),(93,1),(135,1)}
        50:{2,4,5,6}:{(30,1),(31,1),(73,1),(74,1),(89,1),(161,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(73,1),(75,1),(76,1)}
        52:{1,3,5,6}:{(31,1),(33,1),(74,1),(76,1),(77,1),(121,1)}
        53:{1,3,4,7}:{(32,1),(33,1),(76,1),(78,1),(83,1),(128,1),(154,1)}
        54:{2,4,6}:{(33,1),(34,1),(77,1),(78,1),(79,1)}
        55:{2,3,5}:{(34,1),(36,1),(79,1),(80,1)}
        56:{1,2,5,6}:{(35,1),(41,1),(77,1),(81,1),(82,1),(86,1),(131,1)}
        57:{1,2,4,7}:{(35,1),(42,1),(78,1),(81,1),(83,1),(128,1)}
        58:{1,3,6}:{(35,1),(36,1),(43,1),(79,1),(83,1)}
        59:{1,3,4}:{(36,1),(38,1),(44,1),(80,1)}
        60:{1,2,3,7}:{(37,1),(83,1),(85,1)}
        61:{1,2,4,6}:{(37,1),(38,1),(84,1),(85,1),(86,1),(131,1)}
        62:{1,3,6,7}:{(39,1),(40,1),(45,1),(87,1),(92,1)}
        63:{2,5,7}:{(40,1),(41,1),(42,1),(87,1)}
        64:{2,3,5,6}:{(41,1),(43,1),(47,1),(82,1),(88,1),(89,1),(91,1),(134,1),(161,1)}
        65:{2,3,7}:{(42,1),(43,1),(83,1)}
        66:{2,3,4,6}:{(43,1),(44,1),(84,1),(89,1),(90,1),(91,1),(134,1)}
        67:{2,4,6,7}:{(45,1),(46,1),(48,1),(87,1),(92,1),(95,1)}
        68:{3,5,7}:{(46,1),(47,1),(92,1),(93,1)}
        69:{3,4,6}:{(47,1),(89,1),(93,1),(94,1)}
        70:{3,5,6,7}:{(48,1),(92,1),(95,1),(135,1)}
        71:{4,5,6,7}:{(96,1),(117,1)}
        72:{3,4,6,7}:{(49,1),(96,1),(97,1)}
        73:{2,4,5,7}:{(49,1),(50,1),(51,1),(97,1),(98,1),(112,1),(149,1)}
        74:{1,4,5,6}:{(50,1),(52,1),(98,1),(99,1),(107,1),(167,1)}
        75:{2,3,6,7}:{(51,1),(97,1),(100,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(53,1),(98,1),(100,1),(101,1),(140,1)}
        77:{2,5,6}:{(52,1),(54,1),(101,1)}
        78:{2,4,7}:{(53,1),(54,1),(101,1),(103,1)}
        79:{2,3,6}:{(54,1),(55,1),(58,1),(103,1)}
        80:{2,3,4}:{(55,1),(59,1)}
        81:{1,2,5,7}:{(56,1),(57,1),(63,1),(101,1),(105,1),(106,1)}
        82:{1,3,5,6}:{(56,1),(58,1),(64,1),(102,1),(106,1),(107,1),(109,1),(148,1),(167,1)}
        83:{1,3,7}:{(57,1),(58,1),(65,1),(103,1)}
        84:{1,3,4,6}:{(58,1),(59,1),(61,1),(66,1),(104,1),(107,1),(108,1),(109,1),(148,1)}
        85:{1,2,4,7}:{(60,1),(61,1),(108,1),(110,1)}
        86:{1,2,5}:{(61,1),(109,1)}
        87:{2,6,7}:{(62,1),(63,1)}
        88:{2,3,5,7}:{(63,1),(64,1),(65,1),(68,1),(106,1),(111,1),(112,1),(149,1)}
        89:{2,4,6}:{(64,1),(69,1),(107,1),(112,1),(113,1)}
        90:{2,3,4,7}:{(65,1),(66,1),(108,1),(112,1),(114,1)}
        91:{2,3,5}:{(66,1),(109,1),(113,1)}
        92:{3,6,7}:{(67,1),(68,1)}
        93:{3,4,7}:{(68,1),(69,1),(112,1)}
        94:{3,4,5}:{(69,1),(113,1)}
        95:{4,6,7}:{(70,1),(117,1)}
        96:{3,5,6,7}:{(71,1),(72,1),(118,1),(135,1)}
        97:{2,4,6,7}:{(72,1),(73,1),(75,1),(118,1),(119,1)}
        98:{1,4,5,7}:{(73,1),(74,1),(76,1),(119,1),(120,1),(128,1),(159,1)}
        99:{2,4,5,6}:{(74,1),(77,1),(120,1),(121,1),(124,1),(171,1),(174,1)}
       100:{1,3,6,7}:{(75,1),(76,1),(119,1),(122,1),(153,1)}
       101:{2,5,7}:{(76,1),(77,1),(78,1),(122,1)}
       102:{2,3,5,6}:{(77,1),(79,1),(82,1),(121,1),(123,1),(124,1),(126,1),(158,1),(171,1)}
       103:{2,3,7}:{(78,1),(79,1),(83,1)}
       104:{2,3,4,6}:{(79,1),(80,1),(84,1),(124,1),(125,1),(126,1),(158,1)}
       105:{1,2,6,7}:{(81,1),(87,1),(122,1),(127,1),(131,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(83,1),(88,1),(123,1),(127,1),(128,1),(159,1)}
       107:{1,4,6}:{(82,1),(89,1),(124,1),(128,1),(129,1)}
       108:{1,3,4,7}:{(83,1),(84,1),(85,1),(90,1),(125,1),(128,1),(130,1)}
       109:{1,3,5}:{(84,1),(86,1),(91,1),(126,1),(129,1)}
       110:{1,2,5,7}:{(85,1),(86,1),(130,1),(131,1)}
       111:{2,3,6,7}:{(87,1),(88,1),(92,1),(127,1),(132,1),(134,1)}
       112:{2,4,7}:{(88,1),(89,1),(93,1),(128,1)}
       113:{2,4,5}:{(89,1),(91,1),(94,1),(129,1)}
       114:{2,3,5,7}:{(90,1),(91,1),(130,1),(133,1),(134,1)}
       115:{3,4,6,7}:{(92,1),(93,1),(95,1),(132,1),(135,1),(136,1)}
       116:{3,4,5,7}:{(93,1),(94,1),(133,1),(135,1),(136,1)}
       117:{4,5,7}:{(95,1),(135,1),(137,1)}
       118:{2,5,6,7}:{(96,1),(97,1),(138,1),(149,1)}
       119:{1,4,6,7}:{(97,1),(98,1),(100,1),(138,1),(139,1)}
       120:{2,4,5,7}:{(98,1),(99,1),(101,1),(139,1),(140,1),(143,1),(165,1),(172,1)}
       121:{3,5,6}:{(99,1),(140,1),(141,1)}
       122:{2,6,7}:{(100,1),(101,1)}
       123:{2,3,5,7}:{(101,1),(102,1),(103,1),(106,1),(140,1),(142,1),(143,1),(165,1)}
       124:{2,4,6}:{(102,1),(107,1),(141,1),(143,1),(144,1)}
       125:{2,3,4,7}:{(103,1),(104,1),(108,1),(143,1),(145,1)}
       126:{2,3,5}:{(104,1),(109,1),(144,1)}
       127:{1,3,6,7}:{(105,1),(106,1),(111,1),(142,1),(146,1),(148,1)}
       128:{1,4,7}:{(106,1),(107,1),(112,1),(143,1)}
       129:{1,4,5}:{(107,1),(109,1),(113,1),(144,1)}
       130:{1,3,5,7}:{(108,1),(109,1),(110,1),(114,1),(145,1),(147,1),(148,1)}
       131:{1,2,6}:{(110,1),(148,1)}
       132:{2,4,6,7}:{(111,1),(112,1),(115,1),(146,1),(149,1),(150,1)}
       133:{2,4,5,7}:{(112,1),(113,1),(114,1),(116,1),(147,1),(149,1),(150,1)}
       134:{2,3,6}:{(114,1),(148,1),(150,1)}
       135:{3,5,7}:{(115,1),(117,1),(149,1),(151,1)}
       136:{3,4,6}:{(116,1),(150,1),(151,1)}
       137:{4,5,6}:{(117,1),(151,1)}
       138:{1,5,6,7}:{(118,1),(119,1),(152,1),(159,1)}
       139:{2,4,6,7}:{(119,1),(120,1),(122,1),(152,1),(153,1),(168,1)}
       140:{3,5,7}:{(120,1),(121,1),(153,1),(154,1)}
       141:{3,4,6}:{(121,1),(124,1),(154,1),(155,1)}
       142:{2,3,6,7}:{(122,1),(123,1),(127,1),(153,1),(156,1),(158,1)}
       143:{2,4,7}:{(123,1),(124,1),(128,1),(154,1)}
       144:{2,4,5}:{(124,1),(126,1),(129,1),(155,1)}
       145:{2,3,5,7}:{(125,1),(126,1),(130,1),(157,1),(158,1)}
       146:{1,4,6,7}:{(127,1),(128,1),(132,1),(156,1),(159,1),(160,1)}
       147:{1,4,5,7}:{(128,1),(129,1),(130,1),(133,1),(157,1),(159,1),(160,1)}
       148:{1,3,6}:{(130,1),(131,1),(134,1),(158,1),(160,1)}
       149:{2,5,7}:{(132,1),(135,1),(159,1),(161,1)}
       150:{2,4,6}:{(133,1),(134,1),(136,1),(160,1),(161,1)}
       151:{3,5,6}:{(135,1),(136,1),(137,1),(161,1)}
       152:{2,5,6,7}:{(138,1),(139,1),(162,1),(165,1)}
       153:{3,6,7}:{(139,1),(140,1)}
       154:{3,4,7}:{(140,1),(141,1),(143,1)}
       155:{3,4,5}:{(141,1),(144,1)}
       156:{2,4,6,7}:{(142,1),(143,1),(146,1),(163,1),(165,1),(166,1)}
       157:{2,4,5,7}:{(143,1),(144,1),(145,1),(147,1),(164,1),(165,1),(166,1)}
       158:{2,3,6}:{(145,1),(148,1),(166,1)}
       159:{1,5,7}:{(146,1),(149,1),(165,1),(167,1)}
       160:{1,4,6}:{(147,1),(148,1),(150,1),(166,1),(167,1)}
       161:{2,5,6}:{(149,1),(150,1),(151,1),(167,1)}
       162:{3,5,6,7}:{(152,1),(153,1),(168,1),(169,1)}
       163:{3,4,6,7}:{(153,1),(154,1),(156,1),(168,1),(169,1),(170,1)}
       164:{3,4,5,7}:{(154,1),(155,1),(157,1),(169,1),(170,1)}
       165:{2,5,7}:{(156,1),(159,1),(169,1),(171,1)}
       166:{2,4,6}:{(157,1),(158,1),(160,1),(170,1),(171,1)}
       167:{1,5,6}:{(159,1),(160,1),(161,1),(171,1)}
       168:{4,6,7}:{(162,1),(172,1)}
       169:{3,5,7}:{(163,1),(165,1),(172,1),(173,1)}
       170:{3,4,6}:{(164,1),(166,1),(173,1)}
       171:{2,5,6}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4,5,7}:{(168,1),(169,1),(174,1)}
       173:{3,5,6}:{(169,1),(170,1),(171,1),(174,1)}
       174:{4,5,6}:{(172,1),(173,1)}

2809 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

2810 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(100,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(91,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(93,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(69,1),(93,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(69,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(48,1),(78,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(44,1),(81,1),(97,1),(99,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(54,1),(81,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(54,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(57,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(90,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(59,1),(66,1),(87,1),(90,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(66,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(43,1),(44,1),(72,1),(95,1),(97,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(44,1),(45,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(46,1),(78,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(46,1),(47,1),(77,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(47,1),(48,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(44,1),(48,1),(49,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(45,1),(49,1),(50,1)}
        35:{1,2,5,6,7}:{(21,1),(47,1),(51,1),(54,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(48,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(49,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(50,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(54,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(54,1),(55,1)}
        41:{1,2,3,6}:{(27,1),(55,1)}
        42:{1,2,3,5,6}:{(29,1),(56,1),(57,1),(84,1),(101,1),(102,1)}
        43:{1,2,4,6,7}:{(28,1),(32,1),(58,1),(59,1),(87,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,6}:{(29,1),(34,1),(57,1),(60,1),(61,1)}
        46:{1,4,5,6,7}:{(30,1),(31,1),(62,1),(66,1),(87,1)}
        47:{2,5,6,7}:{(31,1),(32,1)}
        48:{2,3,6,7}:{(32,1),(33,1),(36,1),(59,1)}
        49:{2,3,4,7}:{(33,1),(34,1),(37,1),(60,1)}
        50:{2,3,4,5}:{(34,1),(38,1),(61,1)}
        51:{1,3,5,6,7}:{(35,1),(36,1),(63,1),(66,1),(67,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(64,1),(66,1),(67,1),(68,1)}
        53:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(39,1),(67,1),(69,1)}
        55:{1,2,4,6}:{(40,1),(41,1),(68,1),(69,1)}
        56:{1,2,3,5,7}:{(42,1),(44,1),(71,1),(72,1),(95,1)}
        57:{1,2,4,6}:{(42,1),(45,1),(72,1),(73,1)}
        58:{1,2,5,6,7}:{(43,1),(47,1),(74,1),(95,1)}
        59:{1,3,6,7}:{(43,1),(44,1),(48,1)}
        60:{1,3,4,7}:{(44,1),(45,1),(49,1),(72,1)}
        61:{1,3,4,5}:{(45,1),(50,1),(73,1)}
        62:{2,4,5,6,7}:{(46,1),(47,1),(77,1),(78,1)}
        63:{2,3,5,6,7}:{(47,1),(48,1),(51,1),(74,1),(77,1),(78,1),(79,1)}
        64:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(80,1)}
        65:{2,3,4,5,7}:{(49,1),(50,1),(53,1),(76,1),(79,1),(80,1)}
        66:{1,4,6,7}:{(51,1),(78,1),(81,1)}
        67:{1,3,5,7}:{(52,1),(54,1),(79,1),(81,1),(82,1)}
        68:{1,3,4,6}:{(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,5,6}:{(54,1),(55,1),(82,1)}
        70:{1,2,3,4,6}:{(57,1),(83,1),(84,1),(101,1)}
        71:{1,2,3,6,7}:{(56,1),(59,1),(85,1),(101,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(60,1)}
        73:{1,2,4,5}:{(57,1),(61,1),(84,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(63,1),(87,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(85,1),(87,1),(88,1),(89,1)}
        76:{1,3,4,5,7}:{(60,1),(61,1),(65,1),(86,1),(88,1),(89,1)}
        77:{3,5,6,7}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(66,1),(87,1),(90,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(67,1),(88,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(68,1),(89,1),(92,1)}
        81:{1,4,5,7}:{(66,1),(67,1),(91,1),(93,1)}
        82:{1,3,5,6}:{(67,1),(68,1),(69,1),(92,1),(93,1)}
        83:{1,2,3,4,7}:{(70,1),(72,1),(94,1)}
        84:{1,2,3,5}:{(70,1),(73,1)}
        85:{1,2,4,6,7}:{(71,1),(72,1),(75,1),(95,1),(96,1)}
        86:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(94,1),(95,1),(96,1)}
        87:{1,4,6,7}:{(74,1),(78,1),(97,1)}
        88:{1,3,5,7}:{(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{1,3,4,6}:{(76,1),(80,1),(96,1),(98,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(99,1)}
        91:{2,4,5,7}:{(78,1),(79,1),(81,1),(97,1),(99,1),(100,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(82,1),(98,1),(100,1)}
        93:{1,4,5,6}:{(81,1),(82,1),(100,1)}
        94:{1,2,3,5,7}:{(83,1),(84,1),(86,1),(101,1)}
        95:{1,2,5,7}:{(85,1),(88,1),(102,1)}
        96:{1,2,4,6}:{(86,1),(89,1),(101,1),(102,1)}
        97:{1,4,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        98:{1,3,5,6}:{(88,1),(89,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,7}:{(90,1),(91,1),(104,1)}
       100:{2,4,5,6}:{(91,1),(92,1),(93,1),(103,1),(104,1)}
       101:{1,2,3,6}:{(94,1),(96,1)}
       102:{1,2,5,6}:{(95,1),(96,1),(98,1)}
       103:{1,4,5,6}:{(97,1),(98,1),(100,1)}
       104:{3,4,5,6}:{(99,1),(100,1)}

2811 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(13,1),(14,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(14,1),(15,1)}
       12:{1,3,4,5,6}:{(9,1),(16,1),(17,1)}
       13:{2,3,4,5,7}:{(9,1),(10,1),(17,1),(18,1)}
       14:{1,3,4,6,7}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,2,5,6,7}:{(11,1),(19,1)}
       16:{1,2,4,5,6}:{(12,1),(21,1),(22,1)}
       17:{1,3,4,5,7}:{(12,1),(13,1),(22,1),(23,1)}
       18:{2,3,4,6,7}:{(13,1),(14,1),(23,1),(24,1)}
       19:{1,3,5,6,7}:{(14,1),(15,1),(24,1),(25,1)}
       20:{1,2,3,4,5}:{(26,1)}
       21:{1,2,3,5,6}:{(16,1),(26,1),(27,1)}
       22:{1,2,4,5,7}:{(16,1),(17,1),(27,1),(28,1)}
       23:{1,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{2,3,5,6,7}:{(18,1),(19,1),(29,1),(30,1)}
       25:{1,4,5,6,7}:{(19,1),(30,1)}
       26:{1,2,3,4,6}:{(20,1),(21,1),(31,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(23,1),(32,1),(33,1)}
       29:{1,3,5,6,7}:{(23,1),(24,1),(33,1),(34,1)}
       30:{2,4,5,6,7}:{(24,1),(25,1),(34,1),(35,1)}
       31:{1,2,3,4,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,5,6,7}:{(28,1),(29,1)}
       34:{1,4,5,6,7}:{(29,1),(30,1)}
       35:{3,4,5,6,7}:{(30,1)}

2812 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(116,1),(132,1),(135,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(142,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(14,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(132,1),(136,1)}
         4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(26,1),(76,1),(102,1),(122,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(19,1),(123,1),(127,1)}
         7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(35,1),(132,1)}
         8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(31,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(14,1),(15,1)}
        10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(29,1),(110,1),(115,1)}
        11:{1,2,4,5,6,7}:{(12,1),(17,1),(35,1),(38,1),(63,1),(87,1)}
        12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(39,1)}
        13:{1,3,4,6,7}:{(7,1),(9,1),(19,1),(20,1),(102,1),(123,1)}
        14:{1,3,5,6}:{(8,1),(9,1),(19,1),(22,1)}
        15:{2,3,4,6}:{(9,1),(10,1),(22,1),(23,1)}
        16:{1,3,4,5,7}:{(10,1),(23,1),(24,1),(40,1),(96,1),(101,1)}
        17:{1,3,5,6,7}:{(11,1),(19,1),(25,1),(26,1),(102,1)}
        18:{1,3,4,5,6,7}:{(25,1),(27,1),(50,1),(78,1)}
        19:{1,3,5,7}:{(12,1),(13,1),(14,1),(29,1)}
        20:{2,3,4,6,7}:{(13,1),(15,1),(29,1),(30,1),(35,1),(88,1),(110,1)}
        21:{1,3,4,5,6}:{(14,1),(28,1),(31,1)}
        22:{2,3,5,6}:{(14,1),(15,1),(29,1),(31,1),(32,1)}
        23:{1,3,4,6}:{(15,1),(16,1),(32,1),(33,1)}
        24:{1,2,4,5,7}:{(16,1),(33,1),(34,1),(54,1),(81,1),(86,1)}
        25:{1,3,4,6,7}:{(17,1),(28,1),(35,1)}
        26:{2,3,5,6,7}:{(17,1),(29,1),(35,1),(36,1),(63,1),(88,1)}
        27:{2,4,5,6,7}:{(18,1),(35,1),(37,1),(38,1),(63,1),(92,1)}
        28:{1,3,4,5,7}:{(19,1),(21,1),(25,1),(39,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(22,1),(39,1),(40,1)}
        30:{1,3,4,6,7}:{(20,1),(23,1),(40,1),(41,1),(48,1),(74,1),(96,1)}
        31:{2,4,5,6}:{(21,1),(22,1),(39,1),(43,1)}
        32:{1,3,5,6}:{(22,1),(23,1),(40,1),(43,1),(44,1)}
        33:{1,2,4,6}:{(23,1),(24,1),(44,1),(45,1)}
        34:{1,2,3,5,7}:{(24,1),(45,1),(46,1),(72,1)}
        35:{2,4,6,7}:{(25,1),(26,1),(39,1),(48,1)}
        36:{1,3,5,6,7}:{(26,1),(40,1),(48,1),(49,1),(74,1)}
        37:{2,3,5,6,7}:{(27,1),(47,1),(50,1)}
        38:{1,4,5,6,7}:{(27,1),(48,1),(50,1),(106,1)}
        39:{2,4,5,7}:{(28,1),(29,1),(31,1),(35,1),(53,1)}
        40:{1,3,5,7}:{(29,1),(30,1),(32,1),(53,1),(54,1)}
        41:{1,2,4,6,7}:{(30,1),(33,1),(54,1),(55,1),(81,1)}
        42:{2,3,4,5,6}:{(31,1),(52,1),(56,1),(84,1),(121,1)}
        43:{1,4,5,6}:{(31,1),(32,1),(53,1)}
        44:{1,2,5,6}:{(32,1),(33,1),(54,1)}
        45:{1,2,3,6}:{(33,1),(34,1)}
        46:{1,2,3,4,7}:{(34,1),(59,1),(81,1)}
        47:{2,3,4,6,7}:{(35,1),(37,1),(52,1),(60,1),(88,1),(92,1)}
        48:{1,4,6,7}:{(35,1),(36,1),(53,1)}
        49:{1,2,5,6,7}:{(36,1),(54,1),(61,1),(63,1)}
        50:{1,3,5,6,7}:{(37,1),(38,1),(60,1),(63,1)}
        51:{1,2,4,5,6,7}:{(38,1),(61,1),(63,1),(64,1),(90,1),(92,1)}
        52:{2,3,4,5,7}:{(39,1),(42,1),(47,1),(65,1),(95,1),(107,1)}
        53:{1,4,5,7}:{(39,1),(40,1),(43,1),(48,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(44,1)}
        55:{1,2,3,6,7}:{(41,1),(45,1),(67,1),(74,1)}
        56:{1,3,4,5,6}:{(42,1),(43,1),(65,1),(69,1),(70,1),(99,1),(131,1)}
        57:{1,2,4,5,6}:{(43,1),(44,1),(66,1),(69,1),(70,1),(71,1)}
        58:{1,2,3,5,6}:{(44,1),(45,1),(67,1),(70,1),(71,1),(72,1)}
        59:{1,2,3,4,6}:{(45,1),(46,1),(71,1),(72,1)}
        60:{1,3,4,6,7}:{(47,1),(48,1),(50,1),(65,1),(73,1),(74,1),(102,1),(106,1)}
        61:{1,2,4,6,7}:{(48,1),(49,1),(66,1),(73,1),(74,1)}
        62:{1,2,3,5,6,7}:{(49,1),(67,1),(74,1),(75,1),(77,1),(98,1),(104,1)}
        63:{2,5,6,7}:{(50,1),(73,1)}
        64:{1,3,5,6,7}:{(51,1),(74,1),(77,1),(78,1),(104,1)}
        65:{1,3,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(79,1),(80,1),(109,1),(120,1)}
        66:{1,2,4,5,7}:{(53,1),(54,1),(57,1),(61,1),(79,1),(80,1),(81,1)}
        67:{1,2,3,5,7}:{(54,1),(55,1),(58,1),(80,1),(81,1)}
        68:{1,2,3,4,6,7}:{(55,1),(59,1),(81,1),(82,1),(89,1),(112,1)}
        69:{2,4,5,6}:{(56,1),(79,1),(84,1)}
        70:{1,3,5,6}:{(57,1),(80,1),(84,1),(85,1)}
        71:{1,2,4,6}:{(58,1),(81,1),(85,1),(86,1)}
        72:{1,2,3,5}:{(59,1),(86,1)}
        73:{2,4,6,7}:{(60,1),(63,1),(79,1),(88,1)}
        74:{1,3,6,7}:{(61,1),(80,1),(88,1)}
        75:{1,2,4,6,7}:{(62,1),(81,1),(89,1),(90,1),(92,1),(112,1)}
        76:{1,2,5,6,7}:{(63,1),(87,1),(91,1),(137,1)}
        77:{2,3,5,6,7}:{(63,1),(64,1),(88,1),(91,1),(92,1),(118,1)}
        78:{1,3,4,6,7}:{(64,1),(92,1),(93,1)}
        79:{2,4,5,7}:{(65,1),(69,1),(73,1),(95,1)}
        80:{1,3,5,7}:{(66,1),(70,1),(74,1),(95,1),(96,1)}
        81:{1,2,4,7}:{(67,1),(71,1),(96,1)}
        82:{1,2,3,5,7}:{(68,1),(72,1),(97,1),(98,1),(104,1)}
        83:{1,2,4,5,6}:{(69,1),(94,1),(99,1),(126,1),(131,1),(143,1)}
        84:{2,3,5,6}:{(69,1),(70,1),(95,1),(99,1),(100,1)}
        85:{1,3,4,6}:{(70,1),(71,1),(96,1),(100,1),(101,1)}
        86:{1,2,4,5}:{(71,1),(72,1),(101,1)}
        87:{1,2,4,6,7}:{(73,1),(76,1),(94,1),(102,1),(106,1)}
        88:{2,3,6,7}:{(73,1),(74,1),(95,1),(102,1)}
        89:{1,3,4,6,7}:{(74,1),(75,1),(96,1),(103,1),(104,1),(125,1)}
        90:{1,2,4,5,7}:{(75,1),(104,1),(105,1),(107,1)}
        91:{1,3,5,6,7}:{(76,1),(77,1),(102,1),(106,1),(129,1)}
        92:{2,4,6,7}:{(77,1),(78,1),(106,1),(107,1)}
        93:{1,3,4,5,7}:{(78,1),(104,1),(107,1),(108,1)}
        94:{1,2,4,5,7}:{(79,1),(83,1),(87,1),(109,1),(120,1),(132,1),(137,1)}
        95:{2,3,5,7}:{(79,1),(80,1),(84,1),(88,1),(109,1),(110,1)}
        96:{1,3,4,7}:{(80,1),(81,1),(85,1),(110,1)}
        97:{1,2,4,5,7}:{(81,1),(82,1),(86,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(82,1),(112,1),(119,1)}
        99:{1,3,5,6}:{(83,1),(84,1),(109,1),(114,1)}
       100:{2,3,4,6}:{(84,1),(85,1),(110,1),(114,1),(115,1)}
       101:{1,3,4,5}:{(85,1),(86,1),(115,1)}
       102:{1,3,6,7}:{(87,1),(88,1),(109,1)}
       103:{2,3,4,6,7}:{(88,1),(89,1),(92,1),(110,1),(117,1),(118,1),(134,1)}
       104:{1,3,5,7}:{(89,1),(90,1),(118,1),(119,1)}
       105:{1,2,4,5,6}:{(90,1),(112,1),(119,1),(121,1)}
       106:{1,4,6,7}:{(91,1),(92,1),(120,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(118,1),(120,1),(121,1)}
       108:{1,3,4,5,6}:{(93,1),(119,1),(121,1)}
       109:{1,3,5,7}:{(94,1),(95,1),(99,1),(102,1),(123,1)}
       110:{2,3,4,7}:{(95,1),(96,1),(100,1),(123,1)}
       111:{1,3,4,5,7}:{(96,1),(97,1),(101,1),(104,1),(124,1),(125,1)}
       112:{1,2,4,6}:{(97,1),(98,1),(125,1)}
       113:{1,2,3,5,6}:{(99,1),(122,1),(126,1),(142,1),(143,1),(146,1)}
       114:{1,3,4,6}:{(99,1),(100,1),(123,1),(126,1),(127,1)}
       115:{2,3,4,5}:{(100,1),(101,1),(127,1)}
       116:{1,2,3,6,7}:{(102,1),(122,1),(128,1),(146,1)}
       117:{1,3,4,6,7}:{(102,1),(103,1),(106,1),(123,1),(128,1),(129,1),(141,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(107,1),(129,1),(130,1)}
       119:{1,3,5,6}:{(104,1),(105,1),(125,1),(130,1)}
       120:{1,4,5,7}:{(106,1),(107,1),(129,1),(131,1)}
       121:{2,4,5,6}:{(107,1),(108,1),(130,1),(131,1)}
       122:{1,2,3,5,7}:{(109,1),(113,1),(116,1),(132,1),(137,1)}
       123:{1,3,4,7}:{(109,1),(110,1),(114,1),(132,1)}
       124:{2,3,4,5,7}:{(110,1),(111,1),(115,1),(118,1),(133,1),(134,1)}
       125:{1,3,4,6}:{(111,1),(112,1),(119,1),(134,1)}
       126:{1,2,4,6}:{(113,1),(114,1),(132,1),(136,1)}
       127:{1,3,4,5}:{(114,1),(115,1),(136,1)}
       128:{1,2,4,6,7}:{(116,1),(117,1),(132,1),(137,1),(145,1)}
       129:{1,3,5,7}:{(117,1),(118,1),(120,1),(137,1),(138,1)}
       130:{2,3,5,6}:{(118,1),(119,1),(121,1),(134,1),(138,1)}
       131:{1,4,5,6}:{(120,1),(121,1),(138,1)}
       132:{1,2,4,7}:{(122,1),(123,1),(126,1)}
       133:{1,3,4,5,7}:{(123,1),(124,1),(127,1),(129,1),(140,1),(141,1)}
       134:{2,3,4,6}:{(124,1),(125,1),(130,1),(141,1)}
       135:{1,2,3,4,6}:{(126,1),(139,1),(142,1),(146,1)}
       136:{1,2,4,5}:{(126,1),(127,1),(142,1)}
       137:{1,2,5,7}:{(128,1),(129,1),(143,1)}
       138:{1,3,5,6}:{(129,1),(130,1),(131,1),(141,1),(143,1)}
       139:{1,2,3,4,7}:{(132,1),(135,1),(144,1)}
       140:{1,2,4,5,7}:{(132,1),(133,1),(136,1),(137,1),(144,1),(145,1)}
       141:{1,3,4,6}:{(133,1),(134,1),(138,1),(145,1)}
       142:{1,2,3,5}:{(135,1),(136,1)}
       143:{1,2,5,6}:{(137,1),(138,1),(145,1)}
       144:{1,2,3,5,7}:{(139,1),(140,1),(142,1),(146,1)}
       145:{1,2,4,6}:{(140,1),(141,1),(143,1),(146,1)}
       146:{1,2,3,6}:{(144,1),(145,1)}

2813 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(21,1),(140,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(8,1),(10,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(11,1),(147,1),(153,1)}
         5:{1,2,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(13,1),(34,1)}
         6:{1,2,4,5,6}:{(10,1),(13,1),(14,1),(15,1),(34,1),(67,1)}
         7:{1,3,4,5,6}:{(13,1),(15,1),(16,1),(67,1),(97,1)}
         8:{1,3,4,5}:{(3,1),(17,1),(19,1)}
         9:{1,2,4,5,7}:{(3,1),(4,1),(18,1),(20,1),(21,1),(51,1),(141,1),(152,1)}
        10:{1,2,4,6}:{(3,1),(5,1),(19,1),(21,1)}
        11:{1,2,3,6}:{(4,1),(20,1)}
        12:{1,2,3,5,7}:{(5,1),(21,1),(22,1),(24,1),(51,1)}
        13:{1,3,5,6}:{(6,1),(19,1),(23,1),(24,1)}
        14:{1,2,4,5,7}:{(6,1),(21,1),(24,1),(25,1),(27,1),(51,1),(84,1)}
        15:{2,4,5,6}:{(7,1),(23,1),(26,1),(27,1)}
        16:{1,3,4,5,7}:{(7,1),(24,1),(27,1),(28,1),(84,1),(110,1)}
        17:{2,3,4,5}:{(8,1),(29,1),(31,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(32,1),(33,1),(68,1),(133,1),(149,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(13,1),(31,1),(33,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(32,1),(34,1)}
        21:{1,2,4,7}:{(10,1),(12,1),(33,1)}
        22:{1,2,3,6,7}:{(11,1),(12,1),(35,1),(38,1),(153,1)}
        23:{2,3,5,6}:{(13,1),(15,1),(31,1),(36,1),(37,1)}
        24:{1,3,5,7}:{(13,1),(14,1),(33,1),(37,1),(38,1)}
        25:{1,2,4,6,7}:{(14,1),(38,1),(39,1),(41,1),(72,1)}
        26:{1,4,5,6}:{(15,1),(36,1),(40,1)}
        27:{2,4,5,7}:{(15,1),(16,1),(37,1),(40,1),(41,1)}
        28:{1,3,4,6,7}:{(16,1),(38,1),(41,1),(42,1),(72,1),(101,1)}
        29:{1,3,4,5}:{(17,1),(44,1),(46,1)}
        30:{2,3,4,5,7}:{(17,1),(18,1),(45,1),(47,1),(48,1),(83,1),(124,1),(143,1)}
        31:{2,3,4,6}:{(17,1),(19,1),(23,1),(46,1),(48,1)}
        32:{1,3,4,6}:{(18,1),(20,1),(47,1),(49,1)}
        33:{1,3,4,7}:{(19,1),(21,1),(24,1),(48,1)}
        34:{1,2,5,6}:{(20,1),(49,1),(51,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(50,1),(51,1),(146,1),(152,1)}
        36:{1,3,5,6}:{(23,1),(26,1),(46,1),(52,1),(53,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(27,1),(48,1),(53,1),(54,1)}
        38:{1,3,6,7}:{(24,1),(25,1),(54,1)}
        39:{1,2,5,6,7}:{(25,1),(51,1),(55,1),(57,1),(146,1)}
        40:{1,4,5,7}:{(26,1),(27,1),(53,1),(56,1)}
        41:{2,4,6,7}:{(27,1),(28,1),(54,1),(56,1),(57,1)}
        42:{1,3,5,6,7}:{(28,1),(57,1),(58,1),(89,1)}
        43:{1,2,3,4}:{(60,1)}
        44:{1,2,4,5}:{(29,1),(60,1),(62,1)}
        45:{1,3,4,5,7}:{(29,1),(30,1),(61,1),(63,1),(64,1),(96,1),(114,1),(135,1)}
        46:{1,3,4,6}:{(29,1),(31,1),(36,1),(62,1),(64,1)}
        47:{2,3,4,6}:{(30,1),(32,1),(63,1),(65,1)}
        48:{2,3,4,7}:{(31,1),(33,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(32,1),(34,1),(65,1),(67,1),(68,1)}
        50:{1,3,4,6,7}:{(32,1),(33,1),(35,1),(38,1),(66,1),(68,1),(72,1),(139,1),(149,1)}
        51:{1,2,5,7}:{(34,1),(35,1),(68,1)}
        52:{1,2,5,6}:{(36,1),(62,1),(69,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(40,1),(64,1),(69,1),(70,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(41,1),(70,1)}
        55:{1,3,5,6,7}:{(38,1),(39,1),(68,1),(71,1),(72,1),(123,1),(139,1)}
        56:{1,4,6,7}:{(40,1),(41,1),(70,1),(73,1)}
        57:{2,5,6,7}:{(41,1),(42,1),(73,1)}
        58:{1,4,5,6,7}:{(42,1),(72,1),(74,1),(123,1)}
        59:{1,2,3,4,7}:{(43,1),(75,1),(76,1),(126,1)}
        60:{1,2,3,5}:{(43,1),(44,1),(77,1)}
        61:{1,2,4,5,7}:{(44,1),(45,1),(76,1),(78,1),(79,1),(103,1),(107,1),(126,1)}
        62:{1,2,4,6}:{(44,1),(46,1),(52,1),(77,1),(79,1)}
        63:{1,3,4,6}:{(45,1),(47,1),(78,1),(80,1)}
        64:{1,3,4,7}:{(46,1),(48,1),(53,1),(79,1)}
        65:{2,3,5,6}:{(47,1),(49,1),(80,1),(82,1),(83,1)}
        66:{2,3,4,6,7}:{(47,1),(48,1),(50,1),(54,1),(81,1),(83,1),(87,1),(131,1),(143,1)}
        67:{1,4,5,6}:{(49,1),(82,1),(84,1)}
        68:{1,3,5,7}:{(49,1),(50,1),(51,1),(83,1),(84,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(79,1),(85,1)}
        70:{1,3,6,7}:{(53,1),(54,1),(56,1),(85,1)}
        71:{2,3,5,6,7}:{(54,1),(55,1),(57,1),(83,1),(86,1),(87,1),(89,1),(113,1),(131,1)}
        72:{1,4,6,7}:{(55,1),(84,1),(87,1)}
        73:{1,5,6,7}:{(56,1),(57,1)}
        74:{2,4,5,6,7}:{(57,1),(58,1),(87,1),(88,1),(89,1),(113,1)}
        75:{1,2,3,4,6}:{(59,1),(90,1),(91,1),(115,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(61,1),(90,1),(91,1),(92,1)}
        77:{1,2,3,6}:{(60,1),(62,1),(92,1)}
        78:{1,2,4,6}:{(61,1),(63,1),(91,1),(93,1)}
        79:{1,2,4,7}:{(62,1),(64,1),(69,1),(92,1)}
        80:{1,3,5,6}:{(63,1),(65,1),(93,1),(95,1),(96,1)}
        81:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(70,1),(94,1),(96,1),(100,1),(121,1),(135,1)}
        82:{2,4,5,6}:{(65,1),(67,1),(95,1),(97,1),(98,1)}
        83:{2,3,5,7}:{(65,1),(66,1),(68,1),(96,1),(98,1)}
        84:{1,4,5,7}:{(67,1),(68,1),(72,1),(98,1)}
        85:{1,2,6,7}:{(69,1),(70,1)}
        86:{1,3,5,6,7}:{(70,1),(71,1),(73,1),(96,1),(99,1),(100,1),(121,1)}
        87:{2,4,6,7}:{(71,1),(72,1),(98,1),(100,1),(101,1)}
        88:{1,4,5,6,7}:{(73,1),(74,1),(100,1),(102,1)}
        89:{3,5,6,7}:{(74,1),(101,1)}
        90:{1,2,3,5}:{(75,1),(103,1)}
        91:{1,2,3,6}:{(76,1),(78,1)}
        92:{1,2,3,7}:{(77,1),(79,1)}
        93:{1,2,5,6}:{(78,1),(80,1),(107,1)}
        94:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(85,1),(105,1),(107,1),(126,1)}
        95:{1,4,5,6}:{(80,1),(82,1),(109,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(83,1),(107,1),(109,1)}
        97:{3,4,5,6}:{(82,1),(110,1)}
        98:{2,4,5,7}:{(82,1),(83,1),(84,1),(87,1),(109,1),(110,1)}
        99:{1,2,5,6,7}:{(85,1),(86,1),(107,1),(111,1),(113,1)}
       100:{1,4,6,7}:{(86,1),(87,1),(109,1)}
       101:{3,4,6,7}:{(87,1),(89,1),(110,1)}
       102:{1,3,5,6,7}:{(88,1),(89,1),(112,1),(113,1)}
       103:{1,2,4,5}:{(90,1),(114,1),(115,1)}
       104:{1,2,3,5,6}:{(90,1),(91,1),(93,1),(115,1),(116,1),(117,1)}
       105:{1,2,3,6,7}:{(91,1),(92,1),(94,1),(116,1),(121,1)}
       106:{1,2,4,5,6}:{(93,1),(95,1),(115,1),(117,1),(118,1),(119,1)}
       107:{1,2,5,7}:{(93,1),(94,1),(96,1)}
       108:{1,3,4,5,6}:{(95,1),(97,1),(117,1),(119,1),(120,1)}
       109:{1,4,5,7}:{(95,1),(96,1),(98,1),(100,1)}
       110:{3,4,5,7}:{(97,1),(98,1),(101,1)}
       111:{1,2,4,6,7}:{(99,1),(100,1),(118,1),(121,1),(122,1)}
       112:{1,3,4,6,7}:{(100,1),(101,1),(102,1),(120,1),(121,1),(122,1)}
       113:{2,5,6,7}:{(102,1),(122,1),(123,1)}
       114:{1,3,4,5}:{(103,1),(124,1),(125,1)}
       115:{1,2,4,6}:{(103,1),(104,1),(125,1),(126,1)}
       116:{1,2,3,5,7}:{(104,1),(105,1),(107,1),(126,1),(128,1)}
       117:{1,3,5,6}:{(106,1),(125,1),(127,1),(128,1)}
       118:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(111,1),(126,1),(128,1),(130,1)}
       119:{2,4,5,6}:{(108,1),(127,1),(129,1),(130,1)}
       120:{1,3,4,5,7}:{(108,1),(109,1),(110,1),(112,1),(128,1),(130,1)}
       121:{1,3,6,7}:{(111,1),(128,1),(131,1)}
       122:{2,4,6,7}:{(112,1),(113,1),(130,1),(131,1),(132,1)}
       123:{1,5,6,7}:{(113,1),(132,1)}
       124:{2,3,4,5}:{(114,1),(133,1),(134,1)}
       125:{1,3,4,6}:{(114,1),(115,1),(117,1),(134,1),(135,1)}
       126:{1,2,4,7}:{(115,1),(116,1),(135,1)}
       127:{2,3,5,6}:{(117,1),(119,1),(134,1),(136,1),(137,1)}
       128:{1,3,5,7}:{(117,1),(118,1),(121,1),(135,1),(137,1)}
       129:{1,4,5,6}:{(119,1),(136,1),(138,1)}
       130:{2,4,5,7}:{(119,1),(120,1),(122,1),(137,1),(138,1)}
       131:{2,3,6,7}:{(121,1),(122,1),(137,1),(139,1)}
       132:{1,4,6,7}:{(122,1),(123,1),(138,1),(139,1)}
       133:{1,3,4,5}:{(124,1),(141,1),(142,1)}
       134:{2,3,4,6}:{(124,1),(125,1),(127,1),(142,1),(143,1)}
       135:{1,3,4,7}:{(125,1),(126,1),(128,1),(143,1)}
       136:{1,3,5,6}:{(127,1),(129,1),(142,1),(144,1),(145,1)}
       137:{2,3,5,7}:{(127,1),(128,1),(130,1),(131,1),(143,1),(145,1)}
       138:{1,4,5,7}:{(129,1),(130,1),(132,1),(145,1)}
       139:{1,3,6,7}:{(131,1),(132,1),(145,1),(146,1)}
       140:{1,2,3,4}:{(147,1)}
       141:{1,2,4,5}:{(133,1),(147,1),(148,1)}
       142:{1,3,4,6}:{(133,1),(134,1),(136,1),(148,1),(149,1)}
       143:{2,3,4,7}:{(134,1),(135,1),(137,1),(149,1)}
       144:{1,2,5,6}:{(136,1),(148,1),(150,1)}
       145:{1,3,5,7}:{(136,1),(137,1),(138,1),(139,1),(149,1),(150,1)}
       146:{1,2,6,7}:{(139,1),(150,1)}
       147:{1,2,3,5}:{(140,1),(141,1),(151,1)}
       148:{1,2,4,6}:{(141,1),(142,1),(144,1),(151,1),(152,1)}
       149:{1,3,4,7}:{(142,1),(143,1),(145,1),(152,1)}
       150:{1,2,5,7}:{(144,1),(145,1),(146,1),(152,1)}
       151:{1,2,3,6}:{(147,1),(148,1),(153,1)}
       152:{1,2,4,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{1,2,3,7}:{(151,1),(152,1)}

2814 :   0:{1,2,3,5,6,7}:{(2,1),(9,1),(13,1),(24,1),(53,1),(56,1),(75,1),(78,1),(90,1),(93,1)}
         1:{1,2,4,5,6,7}:{(3,1),(8,1),(12,1),(30,1),(53,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(33,1),(43,1),(80,1),(89,1),(100,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(7,1),(14,1),(41,1),(68,1)}
         4:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(25,1),(30,1),(53,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(23,1),(90,1),(94,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(23,1)}
         7:{2,3,5,6,7}:{(3,1),(12,1),(13,1),(24,1),(29,1),(53,1),(56,1)}
         8:{1,2,4,5,6}:{(4,1),(14,1),(33,1),(40,1),(63,1),(80,1)}
         9:{1,3,5,7}:{(4,1),(5,1),(14,1),(16,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(33,1),(43,1),(81,1),(85,1)}
        11:{1,3,4,5,7}:{(6,1),(18,1),(19,1),(41,1),(67,1)}
        12:{2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(33,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(34,1),(41,1),(44,1)}
        14:{1,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(90,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(25,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(27,1),(46,1),(70,1),(74,1)}
        18:{1,3,4,5,6}:{(11,1),(23,1),(28,1),(51,1),(77,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(28,1),(29,1),(30,1),(53,1),(79,1)}
        20:{2,3,4,6,7}:{(12,1),(29,1),(31,1),(45,1),(56,1),(79,1)}
        21:{1,4,6,7}:{(12,1),(13,1),(30,1),(46,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(47,1),(53,1)}
        23:{1,3,4,6}:{(14,1),(15,1),(33,1)}
        24:{2,3,5,6}:{(14,1),(16,1),(33,1),(34,1),(63,1),(81,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(33,1),(36,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(34,1),(36,1),(37,1)}
        27:{1,2,4,6,7}:{(17,1),(37,1),(38,1),(43,1),(58,1),(62,1)}
        28:{2,4,5,6}:{(18,1),(19,1),(33,1),(39,1),(40,1),(63,1),(87,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(39,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(40,1),(41,1),(89,1)}
        31:{1,3,4,6,7}:{(20,1),(21,1),(41,1),(43,1),(44,1),(57,1),(67,1),(68,1),(89,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(42,1),(43,1),(44,1),(58,1)}
        33:{2,4,6}:{(23,1),(24,1),(25,1),(46,1)}
        34:{1,3,5,6}:{(24,1),(26,1),(46,1),(47,1),(70,1)}
        35:{2,3,4,5,7}:{(25,1),(29,1),(45,1),(48,1),(73,1),(79,1),(96,1)}
        36:{1,4,5,7}:{(25,1),(26,1),(46,1)}
        37:{1,2,5,7}:{(26,1),(27,1),(47,1),(53,1)}
        38:{1,2,3,6,7}:{(27,1),(50,1),(56,1),(70,1)}
        39:{2,3,5,6}:{(28,1),(29,1),(45,1),(51,1)}
        40:{1,4,5,6}:{(28,1),(30,1),(46,1),(51,1),(95,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(51,1),(53,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(79,1)}
        43:{2,4,6,7}:{(31,1),(53,1),(56,1),(69,1),(79,1)}
        44:{1,3,6,7}:{(32,1),(54,1),(56,1),(70,1)}
        45:{2,3,4,6}:{(33,1),(35,1),(39,1),(57,1),(81,1),(87,1)}
        46:{1,4,6}:{(33,1),(34,1),(36,1)}
        47:{1,2,5,6}:{(34,1),(37,1),(58,1),(63,1)}
        48:{1,3,4,5,7}:{(35,1),(36,1),(41,1),(57,1),(60,1),(61,1),(67,1),(84,1),(88,1),(89,1),(101,1)}
        49:{1,2,4,5,7}:{(36,1),(37,1),(58,1),(60,1),(61,1),(62,1),(83,1)}
        50:{1,2,3,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(66,1)}
        51:{1,3,5,6}:{(39,1),(40,1),(41,1),(57,1),(63,1)}
        52:{1,2,4,5,6}:{(40,1),(42,1),(58,1),(63,1),(64,1),(83,1),(87,1)}
        53:{2,5,7}:{(41,1),(43,1),(63,1)}
        54:{1,3,5,7}:{(42,1),(44,1),(64,1),(66,1),(67,1)}
        55:{1,2,4,6,7}:{(43,1),(65,1),(68,1),(80,1),(89,1)}
        56:{2,3,6,7}:{(43,1),(44,1),(66,1),(68,1),(81,1)}
        57:{1,3,4,6}:{(45,1),(46,1),(48,1),(51,1),(69,1),(70,1),(90,1),(95,1)}
        58:{1,2,4,6}:{(46,1),(47,1),(49,1),(69,1),(70,1)}
        59:{1,2,3,5,6}:{(47,1),(50,1),(70,1),(71,1),(76,1),(92,1)}
        60:{2,4,5,7}:{(48,1),(53,1),(69,1),(73,1),(79,1),(96,1)}
        61:{1,3,5,7}:{(49,1),(70,1),(73,1),(74,1),(92,1)}
        62:{1,2,4,7}:{(50,1),(71,1),(74,1),(79,1)}
        63:{2,5,6}:{(51,1),(53,1),(69,1)}
        64:{1,3,5,6}:{(52,1),(54,1),(70,1),(76,1),(77,1),(92,1)}
        65:{1,2,5,7}:{(53,1),(55,1),(75,1),(78,1)}
        66:{2,3,5,7}:{(53,1),(54,1),(56,1),(76,1),(78,1),(79,1)}
        67:{1,3,4,7}:{(54,1),(77,1),(79,1)}
        68:{1,3,6,7}:{(55,1),(56,1),(78,1),(90,1)}
        69:{2,4,6}:{(57,1),(60,1),(63,1),(81,1)}
        70:{1,3,6}:{(58,1),(61,1),(81,1)}
        71:{1,2,4,6}:{(59,1),(62,1),(82,1),(83,1),(87,1)}
        72:{1,2,4,5,7}:{(60,1),(65,1),(80,1),(84,1),(89,1),(100,1),(101,1),(104,1)}
        73:{2,3,5,7}:{(60,1),(61,1),(81,1),(84,1),(85,1),(99,1)}
        74:{1,3,4,7}:{(61,1),(62,1),(82,1),(85,1)}
        75:{1,2,5,6}:{(63,1),(65,1),(80,1),(86,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(66,1),(81,1),(86,1),(87,1),(99,1)}
        77:{1,3,4,6}:{(64,1),(67,1),(87,1),(88,1)}
        78:{1,3,5,7}:{(65,1),(66,1),(68,1),(86,1),(89,1)}
        79:{2,4,7}:{(66,1),(67,1),(87,1),(89,1)}
        80:{1,2,4,6}:{(69,1),(72,1),(75,1),(90,1),(95,1)}
        81:{2,3,6}:{(69,1),(70,1),(73,1),(90,1)}
        82:{1,3,4,6}:{(70,1),(71,1),(74,1),(91,1),(92,1)}
        83:{1,2,4,5}:{(71,1),(92,1),(96,1)}
        84:{1,3,5,7}:{(72,1),(73,1),(90,1),(94,1),(103,1)}
        85:{2,3,4,7}:{(73,1),(74,1),(79,1),(91,1),(94,1)}
        86:{1,3,5,6}:{(75,1),(76,1),(78,1),(90,1),(95,1),(103,1)}
        87:{2,4,6}:{(76,1),(77,1),(79,1),(95,1),(96,1)}
        88:{1,3,4,5}:{(77,1),(92,1),(96,1)}
        89:{1,4,7}:{(78,1),(79,1),(95,1)}
        90:{1,3,6}:{(80,1),(81,1),(84,1)}
        91:{2,3,4,6}:{(81,1),(82,1),(85,1),(87,1),(98,1),(99,1)}
        92:{1,3,5}:{(82,1),(83,1),(99,1)}
        93:{1,2,3,5,7}:{(84,1),(97,1),(100,1),(104,1)}
        94:{1,3,4,7}:{(84,1),(85,1),(89,1),(98,1),(100,1)}
        95:{1,4,6}:{(86,1),(87,1),(89,1),(101,1)}
        96:{2,4,5}:{(87,1),(88,1),(99,1),(101,1)}
        97:{1,2,3,6}:{(90,1),(93,1),(102,1)}
        98:{1,3,4,6}:{(90,1),(91,1),(94,1),(95,1),(102,1),(103,1)}
        99:{2,3,5}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,2,4,7}:{(93,1),(94,1),(102,1)}
       101:{1,4,5}:{(95,1),(96,1),(103,1)}
       102:{1,2,4,6}:{(97,1),(98,1),(100,1),(104,1)}
       103:{1,3,5}:{(98,1),(99,1),(101,1),(104,1)}
       104:{1,2,5}:{(102,1),(103,1)}

2815 :   0:{2,3,4,5,6}:{(1,1),(2,1),(16,1),(99,1)}
         1:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(9,1),(27,1),(93,1),(103,1),(104,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(91,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(10,1),(11,1),(69,1),(93,1)}
         4:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(13,1),(40,1),(69,1)}
         5:{1,2,3,4,6}:{(11,1),(13,1),(14,1),(40,1)}
         6:{2,4,5,6}:{(1,1),(16,1),(17,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(21,1),(43,1),(82,1),(98,1),(100,1)}
         8:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(47,1),(79,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(20,1),(21,1)}
        10:{1,2,4,5,7}:{(3,1),(17,1),(21,1),(22,1),(24,1),(55,1),(82,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1)}
        12:{1,2,3,5,7}:{(4,1),(21,1),(24,1),(25,1),(55,1)}
        13:{1,2,3,5}:{(5,1),(23,1)}
        14:{1,2,3,4,7}:{(5,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(6,1),(27,1),(28,1),(56,1),(102,1),(103,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(27,1),(29,1),(30,1)}
        17:{2,4,5,7}:{(6,1),(7,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(36,1),(60,1),(68,1),(89,1),(92,1)}
        19:{2,3,5,6,7}:{(8,1),(32,1),(33,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(29,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(10,1),(31,1),(36,1),(37,1),(68,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(34,1)}
        24:{1,2,4,7}:{(11,1),(12,1),(35,1)}
        25:{1,2,3,6,7}:{(12,1),(36,1),(39,1),(40,1)}
        26:{1,2,3,5,7}:{(13,1),(14,1),(38,1),(40,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(17,1),(43,1),(44,1),(72,1),(96,1),(98,1)}
        29:{2,3,4,6}:{(16,1),(20,1),(42,1),(45,1),(46,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(21,1),(43,1),(46,1),(47,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(47,1),(48,1)}
        32:{1,3,5,6,7}:{(18,1),(19,1),(48,1),(49,1),(80,1)}
        33:{2,4,5,6,7}:{(19,1),(49,1),(50,1),(79,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(45,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(46,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(47,1)}
        37:{1,2,5,6,7}:{(22,1),(48,1),(53,1),(55,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(51,1),(54,1),(55,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(54,1),(55,1)}
        40:{1,2,3,6}:{(26,1),(54,1)}
        41:{1,2,3,5,6}:{(27,1),(56,1),(57,1),(83,1),(101,1),(102,1)}
        42:{1,3,4,6}:{(27,1),(29,1),(56,1),(58,1),(59,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(30,1),(59,1),(60,1)}
        44:{1,2,4,6,7}:{(28,1),(31,1),(60,1),(61,1),(89,1)}
        45:{2,3,4,5}:{(29,1),(34,1),(58,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(35,1),(59,1)}
        47:{2,3,6,7}:{(30,1),(31,1),(36,1),(60,1)}
        48:{2,5,6,7}:{(31,1),(32,1)}
        49:{1,4,5,6,7}:{(32,1),(33,1),(65,1),(68,1),(89,1)}
        50:{3,4,5,6,7}:{(33,1),(92,1)}
        51:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(62,1),(66,1),(67,1)}
        52:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(63,1),(66,1),(67,1),(68,1)}
        53:{1,3,5,6,7}:{(36,1),(37,1),(64,1),(67,1),(68,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(66,1),(69,1)}
        55:{1,2,5,7}:{(39,1),(67,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(71,1),(72,1)}
        57:{1,2,3,5,7}:{(41,1),(43,1),(72,1),(73,1),(96,1)}
        58:{1,3,4,5}:{(42,1),(45,1),(71,1)}
        59:{1,3,4,7}:{(42,1),(43,1),(46,1),(72,1)}
        60:{1,3,6,7}:{(43,1),(44,1),(47,1)}
        61:{1,2,5,6,7}:{(44,1),(48,1),(76,1),(96,1)}
        62:{2,3,4,5,7}:{(45,1),(46,1),(51,1),(74,1),(77,1),(78,1)}
        63:{2,3,4,6,7}:{(46,1),(47,1),(52,1),(75,1),(77,1),(78,1),(79,1)}
        64:{2,3,5,6,7}:{(47,1),(48,1),(53,1),(76,1),(78,1),(79,1),(80,1)}
        65:{2,4,5,6,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,4,6}:{(51,1),(54,1),(77,1),(81,1)}
        67:{1,3,5,7}:{(52,1),(55,1),(78,1),(81,1),(82,1)}
        68:{1,4,6,7}:{(53,1),(79,1),(82,1)}
        69:{1,2,5,6}:{(54,1),(55,1),(81,1)}
        70:{1,2,3,4,6}:{(56,1),(83,1),(84,1),(101,1)}
        71:{1,2,4,5}:{(56,1),(58,1),(83,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(59,1)}
        73:{1,2,3,6,7}:{(57,1),(60,1),(86,1),(101,1)}
        74:{1,3,4,5,7}:{(58,1),(59,1),(62,1),(85,1),(87,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(63,1),(86,1),(87,1),(88,1),(89,1)}
        76:{1,3,5,6,7}:{(60,1),(61,1),(64,1),(88,1),(89,1)}
        77:{2,3,4,6}:{(62,1),(66,1),(87,1),(90,1)}
        78:{2,3,5,7}:{(63,1),(67,1),(88,1),(90,1),(91,1)}
        79:{2,4,6,7}:{(64,1),(68,1),(89,1),(91,1),(92,1)}
        80:{3,5,6,7}:{(65,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(90,1),(93,1)}
        82:{1,4,5,7}:{(67,1),(68,1),(91,1),(93,1)}
        83:{1,2,3,5}:{(70,1),(71,1)}
        84:{1,2,3,4,7}:{(70,1),(72,1),(94,1)}
        85:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(94,1),(95,1),(96,1)}
        86:{1,2,4,6,7}:{(72,1),(73,1),(75,1),(95,1),(96,1)}
        87:{1,3,4,6}:{(74,1),(77,1),(95,1),(97,1)}
        88:{1,3,5,7}:{(75,1),(78,1),(96,1),(97,1),(98,1)}
        89:{1,4,6,7}:{(76,1),(79,1),(98,1)}
        90:{2,3,5,6}:{(77,1),(78,1),(81,1),(97,1),(99,1)}
        91:{2,4,5,7}:{(78,1),(79,1),(82,1),(98,1),(99,1),(100,1)}
        92:{3,4,6,7}:{(79,1),(80,1),(100,1)}
        93:{1,4,5,6}:{(81,1),(82,1),(99,1)}
        94:{1,2,3,5,7}:{(83,1),(84,1),(85,1),(101,1)}
        95:{1,2,4,6}:{(85,1),(87,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(86,1),(88,1),(102,1)}
        97:{1,3,5,6}:{(87,1),(88,1),(90,1),(102,1),(103,1)}
        98:{1,4,5,7}:{(88,1),(89,1),(91,1),(103,1)}
        99:{2,4,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       100:{3,4,5,7}:{(91,1),(92,1),(104,1)}
       101:{1,2,3,6}:{(94,1),(95,1)}
       102:{1,2,5,6}:{(95,1),(96,1),(97,1)}
       103:{1,4,5,6}:{(97,1),(98,1),(99,1)}
       104:{3,4,5,6}:{(99,1),(100,1)}

2816 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(19,1),(42,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(28,1),(59,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(78,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(40,1),(79,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(28,1),(55,1),(97,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(99,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(25,1),(28,1),(32,1),(50,1),(58,1),(98,1)}
         7:{1,2,3,5,6,7}:{(12,1),(27,1),(31,1),(55,1),(65,1),(86,1),(98,1),(125,1),(139,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(41,1),(73,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(38,1),(40,1),(115,1)}
        10:{2,5,6,7}:{(5,1),(16,1),(116,1)}
        11:{1,3,5,6,7}:{(6,1),(18,1),(19,1),(38,1),(47,1),(70,1),(77,1)}
        12:{1,2,4,6,7}:{(7,1),(20,1),(21,1),(40,1),(76,1),(83,1),(106,1),(135,1)}
        13:{1,2,3,5,6,7}:{(22,1),(27,1),(49,1),(55,1),(60,1),(91,1),(98,1),(104,1),(131,1)}
        14:{2,3,4,5,6}:{(8,1),(23,1),(59,1),(92,1),(94,1),(97,1)}
        15:{1,3,4,5,7}:{(8,1),(9,1),(23,1),(24,1),(53,1),(58,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(129,1)}
        17:{1,2,5,6,7}:{(10,1),(25,1),(27,1),(98,1),(104,1),(125,1)}
        18:{2,3,5,6,7}:{(10,1),(11,1),(26,1),(27,1),(28,1),(55,1),(57,1),(65,1),(91,1),(98,1)}
        19:{1,3,4,6,7}:{(11,1),(28,1),(29,1),(62,1),(88,1)}
        20:{1,3,4,6,7}:{(12,1),(30,1),(31,1),(62,1),(122,1),(139,1)}
        21:{1,2,4,5,7}:{(12,1),(31,1),(32,1),(58,1),(61,1),(98,1)}
        22:{1,2,4,6,7}:{(13,1),(33,1),(34,1),(40,1),(76,1),(81,1),(108,1),(120,1)}
        23:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(71,1),(79,1),(112,1),(115,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(35,1),(37,1)}
        25:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(38,1),(40,1),(76,1),(120,1),(135,1)}
        26:{2,3,6,7}:{(16,1),(37,1),(38,1),(137,1)}
        27:{1,3,5,6,7}:{(17,1),(18,1),(38,1),(40,1),(77,1),(85,1),(110,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(40,1),(41,1),(83,1),(108,1)}
        29:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(77,1)}
        30:{2,3,4,6,7}:{(20,1),(45,1),(46,1),(76,1),(83,1),(113,1),(137,1)}
        31:{1,3,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        32:{1,2,4,5,6}:{(21,1),(47,1),(79,1),(83,1),(116,1),(135,1)}
        33:{1,3,4,6,7}:{(22,1),(48,1),(49,1),(88,1),(101,1),(131,1)}
        34:{1,2,4,5,7}:{(22,1),(49,1),(50,1),(58,1),(87,1),(98,1)}
        35:{2,4,5,6}:{(23,1),(24,1),(52,1),(127,1),(129,1)}
        36:{1,2,4,5,7}:{(24,1),(25,1),(51,1),(53,1),(58,1),(95,1),(98,1)}
        37:{2,3,5,7}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(53,1),(55,1),(131,1),(139,1)}
        39:{2,3,4,6,7}:{(26,1),(28,1),(54,1),(56,1),(57,1),(97,1)}
        40:{1,4,6,7}:{(27,1),(28,1),(58,1),(103,1),(124,1)}
        41:{2,4,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(98,1)}
        42:{1,3,4,5,6}:{(29,1),(59,1),(62,1),(88,1),(99,1)}
        43:{1,3,4,5,7}:{(31,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(55,1),(60,1),(63,1),(131,1)}
        45:{1,3,4,6,7}:{(30,1),(63,1),(64,1),(101,1),(103,1),(131,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(61,1),(64,1),(65,1),(98,1)}
        47:{1,3,5,6}:{(31,1),(32,1),(62,1),(65,1),(139,1)}
        48:{2,3,4,6,7}:{(33,1),(68,1),(69,1),(76,1),(108,1),(113,1),(137,1)}
        49:{1,3,5,7}:{(33,1),(34,1),(69,1),(70,1)}
        50:{1,2,4,5,6}:{(34,1),(70,1),(79,1),(108,1),(116,1),(120,1)}
        51:{1,2,4,5,6}:{(35,1),(36,1),(71,1),(79,1),(111,1),(116,1),(118,1),(120,1),(133,1),(135,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(71,1),(72,1),(136,1),(137,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(38,1),(71,1),(73,1),(74,1)}
        54:{2,3,4,7}:{(37,1),(72,1),(74,1)}
        55:{2,3,6,7}:{(38,1),(73,1),(76,1),(137,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(40,1),(74,1),(76,1),(77,1),(115,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(77,1),(78,1)}
        58:{1,4,5,7}:{(40,1),(41,1),(77,1),(79,1)}
        59:{2,4,5,6}:{(41,1),(42,1),(78,1),(79,1),(83,1),(108,1),(116,1)}
        60:{1,2,3,5,7}:{(44,1),(73,1),(80,1),(81,1),(84,1),(119,1)}
        61:{2,4,5,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,3,4,6}:{(43,1),(47,1),(83,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(76,1),(81,1),(84,1),(120,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(82,1),(84,1),(85,1)}
        65:{2,3,5,6}:{(46,1),(47,1),(83,1),(85,1),(116,1),(137,1)}
        66:{1,3,4,5,7}:{(49,1),(87,1),(88,1)}
        67:{1,2,3,6,7}:{(55,1),(86,1),(89,1),(139,1)}
        68:{1,3,4,6,7}:{(48,1),(89,1),(90,1),(122,1),(124,1),(139,1)}
        69:{2,3,5,7}:{(48,1),(49,1),(87,1),(90,1),(91,1),(98,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(88,1),(91,1),(131,1)}
        71:{1,3,5,6}:{(51,1),(52,1),(53,1),(92,1),(93,1),(130,1),(131,1),(138,1),(139,1)}
        72:{2,3,4,6}:{(52,1),(54,1),(93,1),(94,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(92,1),(95,1),(98,1)}
        74:{1,3,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{2,3,4,5,7}:{(54,1),(57,1),(61,1),(87,1),(94,1),(96,1),(97,1),(128,1)}
        76:{2,4,6,7}:{(55,1),(56,1),(95,1),(98,1),(129,1)}
        77:{1,3,5,7}:{(56,1),(57,1),(58,1),(98,1),(99,1)}
        78:{2,3,5,6}:{(57,1),(59,1),(97,1),(99,1)}
        79:{1,4,5,6}:{(58,1),(59,1),(99,1),(103,1),(124,1)}
        80:{1,2,3,5,6}:{(60,1),(92,1),(100,1),(104,1),(130,1),(131,1)}
        81:{1,2,4,7}:{(60,1),(95,1),(100,1),(101,1)}
        82:{1,4,5,7}:{(61,1),(64,1),(103,1)}
        83:{2,4,6}:{(61,1),(62,1),(65,1),(103,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(98,1),(104,1)}
        85:{1,3,5,6}:{(64,1),(65,1),(103,1),(104,1),(131,1)}
        86:{1,2,3,5,7}:{(67,1),(73,1),(105,1),(106,1),(109,1),(134,1)}
        87:{2,4,5,7}:{(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,4,6}:{(66,1),(70,1),(108,1)}
        89:{1,2,4,6,7}:{(67,1),(68,1),(76,1),(106,1),(109,1),(135,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1)}
        91:{2,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(116,1),(137,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(116,1),(136,1),(137,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(74,1),(111,1),(112,1)}
        94:{2,3,4,5}:{(72,1),(112,1),(136,1)}
        95:{2,4,7}:{(73,1),(74,1),(111,1)}
        96:{1,3,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(107,1),(112,1),(114,1),(115,1),(119,1),(134,1)}
        97:{2,3,4,6}:{(75,1),(78,1),(83,1),(108,1),(115,1),(137,1)}
        98:{2,5,7}:{(76,1),(77,1),(116,1)}
        99:{1,3,5,6}:{(77,1),(78,1),(79,1),(115,1),(116,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(111,1),(117,1),(118,1)}
       101:{1,3,4,7}:{(81,1),(113,1),(117,1),(119,1)}
       102:{1,2,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(118,1),(119,1),(120,1)}
       103:{1,4,6}:{(82,1),(83,1),(85,1)}
       104:{1,2,5,6}:{(84,1),(85,1),(116,1),(120,1)}
       105:{1,2,3,5,6}:{(86,1),(92,1),(121,1),(125,1),(138,1),(139,1)}
       106:{1,2,4,7}:{(86,1),(95,1),(121,1),(122,1)}
       107:{1,4,5,7}:{(87,1),(90,1),(124,1)}
       108:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       109:{1,2,5,7}:{(89,1),(90,1),(98,1),(125,1)}
       110:{1,3,5,6}:{(90,1),(91,1),(124,1),(125,1),(139,1)}
       111:{2,4,6}:{(92,1),(93,1),(95,1),(127,1)}
       112:{1,3,4,5}:{(93,1),(94,1),(127,1),(130,1),(138,1)}
       113:{2,3,4,7}:{(95,1),(101,1),(122,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(95,1),(96,1),(98,1),(127,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(99,1),(103,1),(124,1),(129,1),(131,1),(139,1)}
       116:{2,5,6}:{(98,1),(99,1),(129,1)}
       117:{1,3,4,6}:{(100,1),(101,1),(126,1),(130,1),(131,1)}
       118:{1,2,4,5}:{(100,1),(127,1),(130,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(128,1),(130,1),(131,1)}
       120:{1,2,4,6}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       121:{1,2,4,6}:{(105,1),(106,1),(111,1),(132,1),(133,1)}
       122:{1,3,4,7}:{(106,1),(113,1),(132,1),(134,1)}
       123:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(133,1),(134,1),(135,1)}
       124:{1,4,6}:{(107,1),(108,1),(110,1)}
       125:{1,2,5,6}:{(109,1),(110,1),(116,1),(135,1)}
       126:{2,3,4,6}:{(111,1),(113,1),(117,1),(132,1),(136,1),(137,1)}
       127:{2,4,5}:{(111,1),(112,1),(136,1)}
       128:{2,3,5,7}:{(113,1),(114,1),(119,1),(134,1),(136,1),(137,1)}
       129:{2,4,6}:{(114,1),(115,1),(116,1),(137,1)}
       130:{1,3,5}:{(117,1),(118,1),(136,1)}
       131:{1,3,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,4,6}:{(121,1),(122,1),(126,1),(138,1),(139,1)}
       133:{1,2,4,5}:{(121,1),(127,1),(138,1)}
       134:{1,3,5,7}:{(122,1),(123,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,6}:{(123,1),(124,1),(125,1),(129,1),(139,1)}
       136:{2,3,5}:{(126,1),(127,1),(130,1),(138,1)}
       137:{2,3,6}:{(128,1),(129,1),(131,1),(139,1)}
       138:{1,3,5}:{(132,1),(133,1),(136,1)}
       139:{1,3,6}:{(134,1),(135,1),(137,1)}

2817 :   0:{1,2,3,4,6}:{(2,1),(3,1),(16,1),(19,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(23,1),(90,1)}
         2:{1,2,3,5}:{(0,1),(7,1)}
         3:{1,2,3,4,7}:{(0,1),(9,1),(31,1)}
         4:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(14,1),(37,1),(81,1),(97,1),(100,1)}
         5:{2,3,4,5,7}:{(1,1),(11,1),(12,1),(41,1),(99,1)}
         6:{1,2,4,5,6}:{(10,1),(14,1),(15,1),(16,1),(50,1),(81,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(16,1)}
         8:{1,2,3,5,6}:{(2,1),(14,1),(16,1),(18,1),(19,1),(50,1)}
         9:{1,2,3,5,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,4,5,6}:{(4,1),(23,1),(24,1)}
        11:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(56,1),(93,1),(103,1),(104,1)}
        12:{2,3,4,6,7}:{(5,1),(25,1),(26,1),(60,1),(91,1)}
        13:{1,3,4,5}:{(7,1),(22,1),(27,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(27,1),(29,1)}
        15:{1,2,4,5,7}:{(6,1),(24,1),(29,1),(30,1),(31,1),(67,1),(93,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(31,1)}
        17:{1,2,4,5,7}:{(7,1),(9,1),(28,1),(31,1),(32,1),(67,1)}
        18:{1,2,3,5,7}:{(8,1),(29,1),(31,1),(33,1),(67,1)}
        19:{1,2,3,6}:{(9,1),(32,1)}
        20:{1,2,3,4,6}:{(34,1),(35,1),(68,1),(71,1)}
        21:{1,2,4,5,6}:{(10,1),(37,1),(38,1),(68,1),(95,1),(97,1)}
        22:{2,3,4,5}:{(13,1),(36,1),(39,1)}
        23:{2,3,5,6}:{(10,1),(14,1),(37,1),(39,1),(41,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(41,1),(42,1)}
        25:{1,3,4,6,7}:{(11,1),(12,1),(42,1),(43,1),(47,1),(74,1),(82,1),(98,1),(101,1)}
        26:{2,3,5,6,7}:{(12,1),(43,1),(44,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(16,1),(39,1),(45,1)}
        28:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(45,1),(46,1),(80,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(41,1),(45,1),(47,1)}
        30:{1,2,4,6,7}:{(15,1),(42,1),(47,1),(48,1),(82,1)}
        31:{1,2,4,7}:{(16,1),(18,1),(45,1)}
        32:{1,2,4,6}:{(17,1),(19,1),(46,1),(50,1)}
        33:{1,2,3,6,7}:{(18,1),(19,1),(47,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(51,1)}
        35:{1,2,3,4,7}:{(20,1),(53,1),(83,1)}
        36:{1,3,4,5}:{(22,1),(51,1),(54,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(54,1),(56,1)}
        38:{1,2,4,5,7}:{(21,1),(24,1),(56,1),(57,1),(83,1),(102,1),(103,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(27,1),(54,1),(58,1)}
        40:{2,3,4,5,7}:{(22,1),(28,1),(55,1),(58,1),(59,1),(89,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(29,1),(56,1),(58,1),(60,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(61,1)}
        43:{1,3,5,6,7}:{(25,1),(26,1),(61,1),(62,1),(92,1)}
        44:{2,4,5,6,7}:{(26,1),(62,1),(63,1),(91,1)}
        45:{1,3,4,7}:{(27,1),(29,1),(31,1),(58,1)}
        46:{1,3,4,6}:{(28,1),(32,1),(59,1),(65,1)}
        47:{1,3,6,7}:{(29,1),(30,1),(60,1)}
        48:{1,2,5,6,7}:{(30,1),(61,1),(66,1),(67,1)}
        49:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(64,1),(67,1)}
        50:{1,2,5,6}:{(32,1),(65,1),(67,1)}
        51:{1,2,4,5}:{(34,1),(36,1),(68,1)}
        52:{1,2,3,5,6}:{(34,1),(37,1),(68,1),(70,1),(71,1),(95,1)}
        53:{1,2,3,5,7}:{(34,1),(35,1),(69,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(39,1),(68,1),(72,1)}
        55:{1,3,4,5,7}:{(36,1),(40,1),(69,1),(72,1),(73,1),(96,1)}
        56:{1,3,5,7}:{(37,1),(38,1),(41,1),(72,1),(74,1)}
        57:{1,2,4,6,7}:{(38,1),(42,1),(74,1),(75,1),(98,1)}
        58:{2,3,4,7}:{(39,1),(41,1),(45,1),(72,1)}
        59:{2,3,4,6}:{(40,1),(46,1),(73,1),(77,1)}
        60:{2,3,6,7}:{(41,1),(42,1),(47,1),(74,1)}
        61:{2,5,6,7}:{(42,1),(43,1)}
        62:{1,4,5,6,7}:{(43,1),(44,1),(79,1),(82,1),(98,1)}
        63:{3,4,5,6,7}:{(44,1),(101,1)}
        64:{1,3,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(76,1),(80,1),(82,1)}
        65:{1,3,5,6}:{(46,1),(50,1),(77,1),(80,1),(81,1)}
        66:{1,3,5,6,7}:{(47,1),(48,1),(78,1),(80,1),(82,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(80,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(54,1),(83,1)}
        69:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(83,1),(84,1),(102,1)}
        70:{1,2,3,5,7}:{(52,1),(56,1),(83,1),(85,1),(102,1)}
        71:{1,2,3,6}:{(53,1),(84,1)}
        72:{1,3,4,7}:{(54,1),(56,1),(58,1),(83,1)}
        73:{1,3,4,6}:{(55,1),(59,1),(84,1),(87,1)}
        74:{1,3,6,7}:{(56,1),(57,1),(60,1)}
        75:{1,2,5,6,7}:{(57,1),(61,1),(88,1),(102,1)}
        76:{2,3,4,6,7}:{(58,1),(59,1),(60,1),(64,1),(86,1),(89,1),(91,1)}
        77:{2,3,5,6}:{(59,1),(65,1),(87,1),(89,1),(90,1)}
        78:{2,3,5,6,7}:{(60,1),(61,1),(66,1),(88,1),(89,1),(91,1),(92,1)}
        79:{2,4,5,6,7}:{(61,1),(62,1),(91,1),(92,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(67,1),(89,1),(93,1)}
        81:{1,4,5,6}:{(65,1),(90,1),(93,1)}
        82:{1,4,6,7}:{(66,1),(91,1),(93,1)}
        83:{1,2,4,7}:{(68,1),(70,1),(72,1)}
        84:{1,2,4,6}:{(69,1),(71,1),(73,1),(95,1)}
        85:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(94,1)}
        86:{1,3,4,6,7}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(98,1)}
        87:{1,3,5,6}:{(73,1),(77,1),(95,1),(96,1),(97,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(78,1),(96,1),(98,1)}
        89:{2,3,5,7}:{(76,1),(77,1),(80,1),(96,1),(99,1)}
        90:{2,4,5,6}:{(77,1),(81,1),(97,1),(99,1),(100,1)}
        91:{2,4,6,7}:{(78,1),(82,1),(98,1),(99,1),(101,1)}
        92:{3,5,6,7}:{(79,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(99,1)}
        94:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(86,1),(102,1)}
        95:{1,2,5,6}:{(84,1),(87,1),(102,1)}
        96:{1,3,5,7}:{(86,1),(87,1),(89,1),(102,1),(103,1)}
        97:{1,4,5,6}:{(87,1),(90,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(91,1),(103,1)}
        99:{2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(103,1),(104,1)}
       100:{3,4,5,6}:{(90,1),(104,1)}
       101:{3,4,6,7}:{(91,1),(92,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(99,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

2818 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(122,1),(126,1),(127,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(137,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(127,1),(128,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(33,1),(92,1),(109,1),(113,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(115,1),(116,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(43,1),(127,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(102,1),(103,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(35,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(109,1),(115,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(37,1),(88,1),(89,1)}
        16:{1,2,4,5,6,7}:{(11,1),(23,1),(43,1),(54,1),(79,1),(95,1)}
        17:{1,3,4,5,6}:{(12,1),(24,1),(25,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(43,1),(96,1),(102,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(49,1),(76,1),(77,1)}
        23:{1,3,5,6,7}:{(16,1),(18,1),(32,1),(33,1),(109,1)}
        24:{1,3,4,5,7}:{(17,1),(18,1),(32,1),(35,1)}
        25:{2,4,5,6}:{(17,1),(19,1),(35,1),(36,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(35,1),(37,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(36,1),(37,1),(38,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(37,1),(39,1),(56,1),(82,1),(88,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(40,1)}
        30:{1,2,3,5,7}:{(22,1),(40,1),(41,1),(65,1)}
        31:{1,3,4,5,6,7}:{(32,1),(42,1),(66,1),(94,1)}
        32:{1,3,4,6,7}:{(23,1),(24,1),(43,1)}
        33:{2,3,5,6,7}:{(23,1),(26,1),(43,1),(44,1),(79,1),(96,1)}
        34:{2,3,4,5,6}:{(25,1),(45,1),(46,1),(73,1),(132,1)}
        35:{2,4,5,7}:{(24,1),(25,1),(26,1),(43,1),(47,1)}
        36:{1,4,5,6}:{(25,1),(27,1),(47,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(28,1),(47,1),(49,1)}
        38:{1,2,5,6}:{(27,1),(29,1),(49,1)}
        39:{1,2,4,6,7}:{(28,1),(29,1),(49,1),(51,1),(76,1)}
        40:{1,2,3,6}:{(29,1),(30,1)}
        41:{1,2,3,4,7}:{(30,1),(52,1),(76,1)}
        42:{2,4,5,6,7}:{(31,1),(43,1),(53,1),(54,1),(79,1),(107,1)}
        43:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        44:{1,3,5,6,7}:{(33,1),(37,1),(56,1),(57,1),(82,1)}
        45:{2,3,4,5,7}:{(34,1),(35,1),(55,1),(58,1),(86,1),(120,1)}
        46:{1,3,4,5,6}:{(34,1),(36,1),(58,1),(59,1),(61,1),(85,1),(140,1)}
        47:{1,4,5,7}:{(35,1),(36,1),(37,1),(56,1)}
        48:{1,2,4,5,6}:{(36,1),(38,1),(59,1),(60,1),(61,1),(63,1)}
        49:{1,2,5,7}:{(37,1),(38,1),(39,1)}
        50:{1,2,3,5,6}:{(38,1),(40,1),(61,1),(62,1),(63,1),(65,1)}
        51:{1,2,3,6,7}:{(39,1),(40,1),(62,1),(82,1)}
        52:{1,2,3,4,6}:{(40,1),(41,1),(63,1),(65,1)}
        53:{2,3,5,6,7}:{(42,1),(55,1),(66,1)}
        54:{1,4,5,6,7}:{(42,1),(56,1),(66,1),(119,1)}
        55:{2,3,4,6,7}:{(43,1),(45,1),(53,1),(68,1),(96,1),(107,1)}
        56:{1,4,6,7}:{(43,1),(44,1),(47,1)}
        57:{1,2,5,6,7}:{(44,1),(49,1),(69,1),(79,1)}
        58:{1,3,4,5,7}:{(45,1),(46,1),(47,1),(68,1),(72,1),(74,1),(100,1),(131,1)}
        59:{2,4,5,6}:{(46,1),(72,1),(73,1)}
        60:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(69,1),(72,1),(74,1),(76,1)}
        61:{1,3,5,6}:{(48,1),(73,1),(74,1),(75,1)}
        62:{1,2,3,5,7}:{(49,1),(50,1),(51,1),(74,1),(76,1)}
        63:{1,2,4,6}:{(50,1),(75,1),(76,1),(77,1)}
        64:{1,2,3,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(97,1),(105,1)}
        65:{1,2,3,5}:{(52,1),(77,1)}
        66:{1,3,5,6,7}:{(53,1),(54,1),(68,1),(79,1)}
        67:{1,2,4,5,6,7}:{(54,1),(69,1),(79,1),(80,1),(98,1),(107,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(66,1),(81,1),(82,1),(109,1),(119,1)}
        69:{1,2,4,6,7}:{(56,1),(57,1),(60,1),(81,1),(82,1)}
        70:{1,2,3,5,6,7}:{(57,1),(62,1),(82,1),(83,1),(91,1),(93,1),(111,1)}
        71:{1,2,4,5,6}:{(59,1),(84,1),(85,1),(114,1),(140,1),(145,1)}
        72:{2,4,5,7}:{(58,1),(59,1),(81,1),(86,1)}
        73:{2,3,5,6}:{(59,1),(61,1),(85,1),(86,1),(87,1)}
        74:{1,3,5,7}:{(60,1),(61,1),(82,1),(86,1),(88,1)}
        75:{1,3,4,6}:{(61,1),(63,1),(87,1),(88,1),(89,1)}
        76:{1,2,4,7}:{(62,1),(63,1),(88,1)}
        77:{1,2,4,5}:{(63,1),(65,1),(89,1)}
        78:{1,2,3,5,7}:{(64,1),(65,1),(90,1),(91,1),(111,1)}
        79:{2,5,6,7}:{(66,1),(81,1)}
        80:{1,3,5,6,7}:{(67,1),(82,1),(93,1),(94,1),(111,1)}
        81:{2,4,6,7}:{(68,1),(72,1),(79,1),(96,1)}
        82:{1,3,6,7}:{(69,1),(74,1),(96,1)}
        83:{1,2,4,6,7}:{(70,1),(76,1),(97,1),(98,1),(105,1),(107,1)}
        84:{1,2,4,5,7}:{(71,1),(72,1),(95,1),(100,1),(127,1),(131,1),(141,1)}
        85:{1,3,5,6}:{(71,1),(73,1),(100,1),(101,1)}
        86:{2,3,5,7}:{(72,1),(73,1),(74,1),(96,1),(100,1),(102,1)}
        87:{2,3,4,6}:{(73,1),(75,1),(101,1),(102,1),(103,1)}
        88:{1,3,4,7}:{(74,1),(75,1),(76,1),(102,1)}
        89:{1,3,4,5}:{(75,1),(77,1),(103,1)}
        90:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(104,1),(105,1)}
        91:{1,2,3,5,6}:{(78,1),(105,1),(125,1)}
        92:{1,2,5,6,7}:{(79,1),(95,1),(106,1),(141,1)}
        93:{2,3,5,6,7}:{(79,1),(80,1),(96,1),(106,1),(107,1),(124,1)}
        94:{1,3,4,6,7}:{(80,1),(107,1),(108,1)}
        95:{1,2,4,6,7}:{(81,1),(84,1),(92,1),(109,1),(119,1)}
        96:{2,3,6,7}:{(81,1),(82,1),(86,1),(109,1)}
        97:{1,3,4,6,7}:{(82,1),(83,1),(88,1),(110,1),(111,1),(118,1)}
        98:{1,2,4,5,7}:{(83,1),(111,1),(112,1),(120,1)}
        99:{1,2,3,5,6}:{(85,1),(113,1),(114,1),(137,1),(145,1),(146,1)}
       100:{1,3,5,7}:{(84,1),(85,1),(86,1),(109,1),(115,1)}
       101:{1,3,4,6}:{(85,1),(87,1),(114,1),(115,1),(116,1)}
       102:{2,3,4,7}:{(86,1),(87,1),(88,1),(115,1)}
       103:{2,3,4,5}:{(87,1),(89,1),(116,1)}
       104:{1,3,4,5,7}:{(88,1),(89,1),(90,1),(111,1),(117,1),(118,1)}
       105:{1,2,4,6}:{(90,1),(91,1),(118,1)}
       106:{1,3,5,6,7}:{(92,1),(93,1),(109,1),(119,1),(134,1)}
       107:{2,4,6,7}:{(93,1),(94,1),(119,1),(120,1)}
       108:{1,3,4,5,7}:{(94,1),(111,1),(120,1),(121,1)}
       109:{1,3,6,7}:{(95,1),(96,1),(100,1)}
       110:{2,3,4,6,7}:{(96,1),(97,1),(102,1),(107,1),(123,1),(124,1),(130,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(124,1),(125,1)}
       112:{1,2,4,5,6}:{(98,1),(105,1),(125,1),(132,1)}
       113:{1,2,3,5,7}:{(99,1),(100,1),(122,1),(127,1),(141,1)}
       114:{1,2,4,6}:{(99,1),(101,1),(127,1),(128,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(102,1),(127,1)}
       116:{1,3,4,5}:{(101,1),(103,1),(128,1)}
       117:{2,3,4,5,7}:{(102,1),(103,1),(104,1),(124,1),(129,1),(130,1)}
       118:{1,3,4,6}:{(104,1),(105,1),(125,1),(130,1)}
       119:{1,4,6,7}:{(106,1),(107,1),(131,1)}
       120:{2,4,5,7}:{(107,1),(108,1),(124,1),(131,1),(132,1)}
       121:{1,3,4,5,6}:{(108,1),(125,1),(132,1)}
       122:{1,2,3,6,7}:{(109,1),(113,1),(133,1),(146,1)}
       123:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(119,1),(133,1),(134,1),(139,1)}
       124:{2,3,5,7}:{(110,1),(111,1),(120,1),(134,1),(135,1)}
       125:{1,3,5,6}:{(111,1),(112,1),(118,1),(135,1)}
       126:{1,2,3,4,6}:{(114,1),(136,1),(137,1),(146,1)}
       127:{1,2,4,7}:{(113,1),(114,1),(115,1)}
       128:{1,2,4,5}:{(114,1),(116,1),(137,1)}
       129:{1,3,4,5,7}:{(115,1),(116,1),(117,1),(134,1),(138,1),(139,1)}
       130:{2,3,4,6}:{(117,1),(118,1),(135,1),(139,1)}
       131:{1,4,5,7}:{(119,1),(120,1),(134,1),(140,1)}
       132:{2,4,5,6}:{(120,1),(121,1),(135,1),(140,1)}
       133:{1,2,4,6,7}:{(122,1),(123,1),(127,1),(141,1),(144,1)}
       134:{1,3,5,7}:{(123,1),(124,1),(131,1),(141,1),(142,1)}
       135:{2,3,5,6}:{(124,1),(125,1),(130,1),(132,1),(142,1)}
       136:{1,2,3,4,7}:{(126,1),(127,1),(143,1)}
       137:{1,2,3,5}:{(126,1),(128,1)}
       138:{1,2,4,5,7}:{(127,1),(128,1),(129,1),(141,1),(143,1),(144,1)}
       139:{1,3,4,6}:{(129,1),(130,1),(142,1),(144,1)}
       140:{1,4,5,6}:{(131,1),(132,1),(142,1)}
       141:{1,2,5,7}:{(133,1),(134,1),(145,1)}
       142:{1,3,5,6}:{(134,1),(135,1),(139,1),(140,1),(145,1)}
       143:{1,2,3,5,7}:{(136,1),(137,1),(138,1),(146,1)}
       144:{1,2,4,6}:{(138,1),(139,1),(145,1),(146,1)}
       145:{1,2,5,6}:{(141,1),(142,1),(144,1)}
       146:{1,2,3,6}:{(143,1),(144,1)}

2819 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(127,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(6,1),(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(9,1),(138,1),(152,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(25,1),(29,1)}
         6:{1,3,4,5}:{(3,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(16,1),(17,1),(46,1),(128,1),(148,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(14,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(42,1),(46,1)}
        11:{1,2,3,4}:{(21,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(24,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(23,1),(26,1),(27,1),(63,1),(116,1),(140,1)}
        14:{1,3,4,6}:{(6,1),(8,1),(24,1),(25,1),(27,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(28,1),(29,1),(31,1),(62,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(26,1),(29,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(27,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(30,1),(61,1),(152,1)}
        19:{1,3,4,5,6}:{(25,1),(31,1),(32,1),(62,1),(95,1)}
        20:{1,2,3,4,7}:{(11,1),(34,1),(35,1),(105,1)}
        21:{1,2,3,5}:{(11,1),(33,1),(36,1)}
        22:{1,3,4,5}:{(12,1),(33,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(13,1),(37,1),(40,1),(41,1),(79,1),(103,1),(130,1)}
        24:{2,3,4,6}:{(12,1),(14,1),(38,1),(39,1),(41,1)}
        25:{1,3,5,6}:{(14,1),(15,1),(39,1),(42,1)}
        26:{1,3,4,6}:{(13,1),(16,1),(40,1),(43,1)}
        27:{1,3,4,7}:{(14,1),(17,1),(41,1),(42,1)}
        28:{1,2,4,5,7}:{(15,1),(17,1),(42,1),(45,1),(46,1),(48,1),(81,1)}
        29:{1,2,5,6}:{(16,1),(43,1),(46,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(44,1),(46,1),(148,1),(153,1)}
        31:{2,4,5,6}:{(19,1),(39,1),(47,1),(48,1)}
        32:{1,3,4,5,7}:{(19,1),(42,1),(48,1),(49,1),(81,1),(110,1)}
        33:{1,2,4,5}:{(21,1),(22,1),(51,1)}
        34:{1,2,3,4,6}:{(20,1),(52,1),(53,1),(89,1)}
        35:{1,2,3,5,7}:{(20,1),(21,1),(50,1),(52,1),(53,1),(54,1)}
        36:{1,2,3,6}:{(21,1),(51,1),(54,1)}
        37:{1,3,4,5,7}:{(22,1),(23,1),(50,1),(56,1),(57,1),(88,1),(93,1),(118,1)}
        38:{1,3,4,6}:{(22,1),(24,1),(51,1),(55,1),(57,1)}
        39:{2,3,5,6}:{(24,1),(25,1),(31,1),(55,1),(58,1)}
        40:{2,3,4,6}:{(23,1),(26,1),(56,1),(59,1)}
        41:{2,3,4,7}:{(24,1),(27,1),(57,1),(58,1)}
        42:{1,3,5,7}:{(25,1),(27,1),(28,1),(58,1),(61,1)}
        43:{1,3,5,6}:{(26,1),(29,1),(59,1),(62,1),(63,1)}
        44:{1,3,4,6,7}:{(26,1),(27,1),(30,1),(60,1),(61,1),(63,1),(97,1),(140,1),(150,1)}
        45:{1,2,4,6,7}:{(28,1),(61,1),(64,1),(66,1),(97,1)}
        46:{1,2,5,7}:{(29,1),(30,1),(63,1)}
        47:{1,4,5,6}:{(31,1),(55,1),(65,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(58,1),(65,1),(66,1)}
        49:{1,3,4,6,7}:{(32,1),(61,1),(66,1),(67,1),(97,1),(122,1)}
        50:{1,2,4,5,7}:{(33,1),(35,1),(37,1),(69,1),(70,1),(71,1),(102,1),(105,1)}
        51:{1,2,4,6}:{(33,1),(36,1),(38,1),(68,1),(70,1)}
        52:{1,2,3,5}:{(34,1),(71,1)}
        53:{1,2,3,6}:{(35,1),(69,1)}
        54:{1,2,3,7}:{(36,1),(70,1)}
        55:{1,3,5,6}:{(38,1),(39,1),(47,1),(68,1),(74,1)}
        56:{1,3,4,6}:{(37,1),(40,1),(69,1),(75,1)}
        57:{1,3,4,7}:{(38,1),(41,1),(70,1),(74,1)}
        58:{2,3,5,7}:{(39,1),(41,1),(42,1),(48,1),(74,1),(77,1)}
        59:{2,3,5,6}:{(40,1),(43,1),(75,1),(78,1),(79,1)}
        60:{2,3,4,6,7}:{(40,1),(41,1),(44,1),(76,1),(77,1),(79,1),(109,1),(130,1),(144,1)}
        61:{1,3,6,7}:{(42,1),(45,1),(77,1)}
        62:{1,4,5,6}:{(43,1),(78,1),(81,1)}
        63:{1,3,5,7}:{(43,1),(44,1),(46,1),(79,1),(81,1)}
        64:{1,2,5,6,7}:{(45,1),(46,1),(80,1),(83,1),(153,1)}
        65:{1,4,5,7}:{(47,1),(48,1),(74,1),(82,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(77,1),(82,1),(83,1)}
        67:{1,3,5,6,7}:{(49,1),(83,1),(84,1),(112,1)}
        68:{1,2,5,6}:{(51,1),(55,1),(85,1)}
        69:{1,2,4,6}:{(50,1),(53,1),(56,1),(86,1)}
        70:{1,2,4,7}:{(51,1),(54,1),(57,1),(85,1)}
        71:{1,2,4,5}:{(52,1),(88,1),(89,1)}
        72:{1,2,3,5,6}:{(52,1),(53,1),(86,1),(89,1),(90,1),(114,1)}
        73:{1,2,3,6,7}:{(53,1),(54,1),(87,1),(90,1),(135,1)}
        74:{1,3,5,7}:{(55,1),(57,1),(58,1),(65,1),(85,1),(91,1)}
        75:{1,3,5,6}:{(56,1),(59,1),(86,1),(92,1),(93,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(60,1),(87,1),(91,1),(93,1),(118,1),(119,1),(135,1)}
        77:{2,3,6,7}:{(58,1),(61,1),(66,1),(91,1)}
        78:{2,4,5,6}:{(59,1),(62,1),(92,1),(95,1),(96,1)}
        79:{2,3,5,7}:{(59,1),(60,1),(63,1),(93,1),(96,1)}
        80:{1,3,5,6,7}:{(61,1),(63,1),(64,1),(94,1),(97,1),(143,1),(150,1)}
        81:{1,4,5,7}:{(62,1),(63,1),(96,1),(97,1)}
        82:{1,4,6,7}:{(65,1),(66,1),(91,1),(98,1)}
        83:{2,5,6,7}:{(66,1),(67,1),(98,1)}
        84:{1,4,5,6,7}:{(67,1),(97,1),(99,1),(143,1)}
        85:{1,2,5,7}:{(68,1),(70,1),(74,1),(100,1)}
        86:{1,2,5,6}:{(69,1),(75,1),(102,1)}
        87:{1,2,4,6,7}:{(69,1),(70,1),(73,1),(76,1),(100,1),(102,1),(105,1)}
        88:{1,3,4,5}:{(71,1),(103,1),(104,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(104,1),(105,1)}
        90:{1,2,3,5,7}:{(72,1),(73,1),(102,1),(105,1),(126,1)}
        91:{1,3,6,7}:{(74,1),(77,1),(82,1),(100,1)}
        92:{1,4,5,6}:{(75,1),(78,1),(108,1)}
        93:{1,3,5,7}:{(75,1),(76,1),(79,1),(102,1),(108,1)}
        94:{2,3,5,6,7}:{(77,1),(79,1),(80,1),(83,1),(106,1),(109,1),(112,1),(134,1),(144,1)}
        95:{3,4,5,6}:{(78,1),(110,1)}
        96:{2,4,5,7}:{(78,1),(79,1),(81,1),(108,1),(109,1),(110,1)}
        97:{1,4,6,7}:{(80,1),(81,1),(109,1)}
        98:{1,5,6,7}:{(82,1),(83,1)}
        99:{2,4,5,6,7}:{(83,1),(84,1),(109,1),(111,1),(112,1),(134,1)}
       100:{1,2,6,7}:{(85,1),(91,1)}
       101:{1,2,4,5,6}:{(86,1),(89,1),(92,1),(114,1),(115,1),(120,1)}
       102:{1,2,5,7}:{(86,1),(87,1),(93,1)}
       103:{2,3,4,5}:{(88,1),(116,1),(117,1)}
       104:{1,3,4,6}:{(88,1),(89,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,7}:{(89,1),(90,1),(118,1)}
       106:{1,3,5,6,7}:{(91,1),(93,1),(94,1),(98,1),(113,1),(119,1),(135,1)}
       107:{1,3,4,5,6}:{(92,1),(95,1),(114,1),(120,1),(121,1)}
       108:{1,4,5,7}:{(92,1),(93,1),(96,1),(119,1)}
       109:{2,4,6,7}:{(94,1),(96,1),(97,1),(119,1),(122,1)}
       110:{3,4,5,7}:{(95,1),(96,1),(122,1)}
       111:{1,4,5,6,7}:{(98,1),(99,1),(119,1),(123,1)}
       112:{3,5,6,7}:{(99,1),(122,1)}
       113:{1,2,5,6,7}:{(100,1),(102,1),(106,1),(124,1),(134,1)}
       114:{1,3,5,6}:{(101,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,5,7}:{(101,1),(102,1),(105,1),(108,1),(124,1),(126,1),(133,1)}
       116:{1,3,4,5}:{(103,1),(128,1),(129,1)}
       117:{2,3,4,6}:{(103,1),(104,1),(125,1),(129,1),(130,1)}
       118:{1,3,4,7}:{(104,1),(105,1),(126,1),(130,1)}
       119:{1,4,6,7}:{(106,1),(108,1),(109,1)}
       120:{2,4,5,6}:{(107,1),(125,1),(132,1),(133,1)}
       121:{1,3,4,5,7}:{(107,1),(108,1),(110,1),(126,1),(131,1),(133,1)}
       122:{3,4,6,7}:{(109,1),(110,1),(112,1)}
       123:{1,3,5,6,7}:{(111,1),(112,1),(131,1),(134,1)}
       124:{1,2,4,6,7}:{(113,1),(115,1),(119,1),(135,1),(141,1)}
       125:{2,3,5,6}:{(114,1),(117,1),(120,1),(136,1),(137,1)}
       126:{1,3,5,7}:{(114,1),(115,1),(118,1),(135,1),(137,1)}
       127:{1,2,3,4}:{(138,1)}
       128:{1,2,4,5}:{(116,1),(138,1),(139,1)}
       129:{1,3,4,6}:{(116,1),(117,1),(136,1),(139,1),(140,1)}
       130:{2,3,4,7}:{(117,1),(118,1),(137,1),(140,1)}
       131:{1,3,4,6,7}:{(119,1),(121,1),(122,1),(123,1),(135,1),(141,1)}
       132:{1,4,5,6}:{(120,1),(136,1),(142,1)}
       133:{2,4,5,7}:{(120,1),(121,1),(137,1),(141,1),(142,1)}
       134:{2,5,6,7}:{(123,1),(141,1),(143,1)}
       135:{1,3,6,7}:{(124,1),(126,1),(144,1)}
       136:{1,3,5,6}:{(125,1),(129,1),(132,1),(145,1),(146,1)}
       137:{2,3,5,7}:{(125,1),(126,1),(130,1),(133,1),(144,1),(146,1)}
       138:{1,2,3,5}:{(127,1),(128,1),(147,1)}
       139:{1,2,4,6}:{(128,1),(129,1),(145,1),(147,1),(148,1)}
       140:{1,3,4,7}:{(129,1),(130,1),(146,1),(148,1)}
       141:{2,4,6,7}:{(131,1),(133,1),(134,1),(144,1),(149,1)}
       142:{1,4,5,7}:{(132,1),(133,1),(146,1),(149,1)}
       143:{1,5,6,7}:{(134,1),(149,1)}
       144:{2,3,6,7}:{(135,1),(137,1),(141,1),(150,1)}
       145:{1,2,5,6}:{(136,1),(139,1),(151,1)}
       146:{1,3,5,7}:{(136,1),(137,1),(140,1),(142,1),(150,1),(151,1)}
       147:{1,2,3,6}:{(138,1),(139,1),(152,1)}
       148:{1,2,4,7}:{(139,1),(140,1),(151,1),(152,1)}
       149:{1,4,6,7}:{(141,1),(142,1),(143,1),(150,1)}
       150:{1,3,6,7}:{(144,1),(146,1),(149,1),(153,1)}
       151:{1,2,5,7}:{(145,1),(146,1),(148,1),(153,1)}
       152:{1,2,3,7}:{(147,1),(148,1)}
       153:{1,2,6,7}:{(150,1),(151,1)}

2820 :   0:{1,3,4,5,6,7}:{(1,1),(7,1),(22,1),(49,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(13,1),(32,1),(67,1)}
         2:{2,3,5,6,7}:{(1,1),(6,1),(7,1),(84,1)}
         3:{1,4,5,6,7}:{(1,1),(7,1),(47,1),(87,1)}
         4:{1,2,3,5,6,7}:{(10,1),(25,1),(31,1),(57,1),(62,1),(88,1),(102,1),(128,1),(138,1)}
         5:{2,3,4,5,6}:{(9,1),(11,1),(58,1),(60,1),(67,1),(91,1)}
         6:{2,3,4,6,7}:{(2,1),(9,1),(12,1),(32,1),(62,1),(91,1)}
         7:{1,3,5,6,7}:{(2,1),(3,1),(12,1),(13,1),(103,1)}
         8:{1,2,4,5,6,7}:{(3,1),(13,1),(14,1),(26,1),(29,1),(32,1),(66,1),(102,1),(105,1)}
         9:{2,3,4,5,7}:{(5,1),(6,1),(15,1),(48,1),(68,1)}
        10:{1,2,4,6,7}:{(4,1),(16,1),(17,1),(47,1),(73,1),(82,1),(106,1),(133,1)}
        11:{1,3,4,5,6}:{(5,1),(15,1),(18,1),(41,1),(78,1),(87,1),(109,1)}
        12:{1,3,4,6,7}:{(6,1),(7,1),(15,1),(19,1),(44,1),(47,1),(109,1)}
        13:{2,5,6,7}:{(7,1),(19,1),(118,1)}
        14:{1,3,5,6,7}:{(8,1),(21,1),(22,1),(40,1),(44,1),(83,1),(120,1)}
        15:{1,3,4,5,7}:{(9,1),(11,1),(12,1),(23,1),(50,1),(66,1)}
        16:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(54,1),(121,1),(138,1)}
        17:{1,2,4,5,7}:{(10,1),(25,1),(26,1),(53,1),(66,1),(102,1)}
        18:{2,4,5,6}:{(11,1),(23,1),(28,1),(98,1),(124,1)}
        19:{2,4,6,7}:{(12,1),(13,1),(23,1),(30,1),(124,1)}
        20:{1,2,5,6,7}:{(13,1),(29,1),(31,1),(95,1),(102,1),(128,1)}
        21:{2,3,5,6,7}:{(13,1),(14,1),(30,1),(31,1),(32,1),(57,1),(62,1),(64,1),(102,1),(130,1)}
        22:{1,3,4,6,7}:{(14,1),(32,1),(33,1),(54,1),(131,1)}
        23:{2,4,5,7}:{(15,1),(18,1),(19,1),(35,1)}
        24:{2,3,4,6,7}:{(16,1),(38,1),(39,1),(73,1),(82,1),(107,1),(134,1)}
        25:{1,3,5,7}:{(16,1),(17,1),(39,1),(40,1)}
        26:{1,2,4,5,6}:{(17,1),(40,1),(73,1),(87,1),(118,1),(133,1)}
        27:{1,2,4,5,6}:{(18,1),(34,1),(41,1),(77,1),(80,1),(87,1),(111,1),(113,1),(118,1),(133,1)}
        28:{2,3,5,6}:{(18,1),(35,1),(41,1),(42,1),(114,1),(134,1)}
        29:{1,2,4,6,7}:{(19,1),(20,1),(34,1),(44,1),(47,1),(82,1),(111,1),(133,1)}
        30:{2,3,6,7}:{(19,1),(35,1),(44,1),(134,1)}
        31:{1,3,5,6,7}:{(20,1),(21,1),(44,1),(47,1),(75,1),(83,1),(136,1)}
        32:{2,4,6,7}:{(21,1),(22,1),(47,1),(48,1),(73,1),(137,1)}
        33:{1,3,4,5,7}:{(22,1),(48,1),(49,1),(83,1)}
        34:{1,2,4,5,7}:{(23,1),(27,1),(29,1),(50,1),(66,1),(89,1),(102,1)}
        35:{2,3,5,7}:{(23,1),(28,1),(30,1),(50,1),(51,1)}
        36:{1,3,4,5,7}:{(25,1),(53,1),(54,1)}
        37:{1,2,3,6,7}:{(52,1),(55,1),(62,1),(125,1)}
        38:{1,3,4,6,7}:{(24,1),(55,1),(56,1),(92,1),(94,1),(125,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(53,1),(56,1),(57,1),(102,1)}
        40:{1,3,5,6}:{(25,1),(26,1),(54,1),(57,1),(138,1)}
        41:{1,3,5,6}:{(27,1),(28,1),(50,1),(58,1),(59,1),(99,1),(125,1),(126,1),(138,1)}
        42:{2,3,4,6}:{(28,1),(51,1),(59,1),(60,1)}
        43:{1,2,3,5,6}:{(52,1),(58,1),(61,1),(95,1),(99,1),(125,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(50,1),(62,1),(125,1),(138,1)}
        45:{2,3,4,6,7}:{(30,1),(32,1),(51,1),(63,1),(64,1),(91,1)}
        46:{1,2,3,5,6,7}:{(31,1),(52,1),(62,1),(65,1),(95,1),(102,1),(104,1),(125,1),(130,1)}
        47:{1,4,6,7}:{(31,1),(32,1),(66,1),(94,1),(139,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(102,1)}
        49:{1,3,4,5,6}:{(33,1),(54,1),(67,1),(103,1),(131,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(41,1),(44,1),(68,1),(69,1)}
        51:{2,3,4,7}:{(35,1),(42,1),(69,1)}
        52:{1,2,3,5,7}:{(37,1),(43,1),(68,1),(71,1),(74,1),(110,1)}
        53:{2,4,5,7}:{(36,1),(39,1),(72,1),(73,1)}
        54:{1,3,4,6}:{(36,1),(40,1),(73,1)}
        55:{1,2,4,6,7}:{(37,1),(38,1),(71,1),(74,1),(82,1),(111,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(72,1),(74,1),(75,1)}
        57:{2,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(118,1),(134,1)}
        58:{2,3,5,6}:{(41,1),(68,1),(77,1),(114,1),(118,1),(134,1)}
        59:{1,3,4,6}:{(41,1),(42,1),(69,1),(77,1),(78,1)}
        60:{2,3,4,5}:{(42,1),(78,1),(114,1)}
        61:{1,2,4,6}:{(43,1),(71,1),(77,1),(79,1),(80,1)}
        62:{2,3,6,7}:{(44,1),(68,1),(82,1),(134,1)}
        63:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(69,1),(82,1),(83,1),(109,1)}
        64:{2,3,5,7}:{(45,1),(48,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(71,1),(82,1),(85,1),(86,1),(111,1),(137,1)}
        66:{1,4,5,7}:{(47,1),(48,1),(83,1),(87,1)}
        67:{2,4,5,6}:{(48,1),(49,1),(73,1),(84,1),(87,1),(118,1),(137,1)}
        68:{2,3,5,7}:{(50,1),(58,1),(62,1),(89,1),(102,1)}
        69:{1,3,4,7}:{(50,1),(51,1),(59,1),(89,1)}
        70:{2,3,4,5,7}:{(51,1),(53,1),(60,1),(64,1),(90,1),(91,1),(123,1),(129,1)}
        71:{1,2,4,7}:{(52,1),(61,1),(89,1),(92,1)}
        72:{1,4,5,7}:{(53,1),(56,1),(94,1)}
        73:{2,4,6}:{(53,1),(54,1),(57,1),(94,1)}
        74:{1,2,5,7}:{(55,1),(56,1),(95,1),(102,1)}
        75:{1,3,5,6}:{(56,1),(57,1),(94,1),(95,1),(125,1)}
        76:{1,2,3,5,6}:{(58,1),(88,1),(96,1),(126,1),(128,1),(138,1)}
        77:{2,4,6}:{(58,1),(59,1),(89,1),(98,1)}
        78:{1,3,4,5}:{(59,1),(60,1),(98,1),(99,1),(126,1)}
        79:{1,3,4,6}:{(61,1),(92,1),(97,1),(99,1),(125,1)}
        80:{1,2,4,5}:{(61,1),(98,1),(99,1)}
        81:{1,2,3,6,7}:{(62,1),(88,1),(100,1),(138,1)}
        82:{2,4,6,7}:{(62,1),(63,1),(89,1),(102,1),(124,1)}
        83:{1,3,5,7}:{(63,1),(64,1),(66,1),(102,1),(103,1)}
        84:{2,3,5,6}:{(64,1),(67,1),(91,1),(103,1)}
        85:{1,3,4,6,7}:{(65,1),(92,1),(101,1),(104,1),(125,1),(131,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(102,1),(104,1),(105,1),(129,1)}
        87:{1,4,5,6}:{(66,1),(67,1),(94,1),(103,1),(139,1)}
        88:{1,2,3,5,7}:{(68,1),(76,1),(81,1),(106,1),(116,1),(132,1)}
        89:{2,4,7}:{(68,1),(69,1),(77,1)}
        90:{1,3,4,5,7}:{(69,1),(70,1),(72,1),(78,1),(83,1),(108,1),(109,1),(110,1),(132,1),(135,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(84,1),(109,1),(134,1),(137,1)}
        92:{1,3,4,7}:{(71,1),(79,1),(107,1),(110,1)}
        93:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(80,1),(108,1),(110,1),(111,1)}
        94:{1,4,6}:{(72,1),(73,1),(75,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(111,1),(118,1)}
        96:{1,2,4,6}:{(76,1),(77,1),(106,1),(112,1),(113,1)}
        97:{2,3,4,6}:{(77,1),(79,1),(107,1),(112,1),(114,1),(134,1)}
        98:{2,4,5}:{(77,1),(78,1),(114,1)}
        99:{1,3,5}:{(79,1),(80,1),(114,1)}
       100:{1,2,4,6,7}:{(81,1),(82,1),(106,1),(115,1),(116,1),(133,1)}
       101:{2,3,4,6,7}:{(82,1),(85,1),(107,1),(115,1),(117,1),(134,1),(137,1)}
       102:{2,5,7}:{(82,1),(83,1),(118,1)}
       103:{1,3,5,6}:{(83,1),(84,1),(87,1),(109,1),(118,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(120,1)}
       105:{1,2,4,5,6}:{(86,1),(87,1),(111,1),(118,1),(120,1),(137,1)}
       106:{1,2,4,7}:{(88,1),(89,1),(96,1),(121,1)}
       107:{2,3,4,7}:{(89,1),(92,1),(97,1),(121,1),(123,1)}
       108:{2,4,5,7}:{(89,1),(90,1),(98,1),(102,1),(123,1),(124,1)}
       109:{1,3,4,6}:{(90,1),(91,1),(94,1),(103,1),(124,1),(125,1),(138,1),(139,1)}
       110:{1,3,5,7}:{(92,1),(93,1),(99,1),(123,1),(125,1)}
       111:{1,2,4,6}:{(93,1),(94,1),(95,1),(124,1),(125,1)}
       112:{1,3,4,6}:{(96,1),(97,1),(121,1),(126,1),(138,1)}
       113:{1,2,4,5}:{(96,1),(98,1),(126,1)}
       114:{2,3,5}:{(97,1),(98,1),(99,1),(126,1)}
       115:{1,3,4,6,7}:{(100,1),(101,1),(121,1),(127,1),(138,1),(139,1)}
       116:{1,2,5,7}:{(100,1),(102,1),(127,1),(128,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(127,1),(129,1),(130,1)}
       118:{2,5,6}:{(102,1),(103,1),(124,1)}
       119:{1,3,4,5,7}:{(104,1),(129,1),(131,1)}
       120:{1,3,5,6}:{(104,1),(105,1),(125,1),(130,1),(131,1)}
       121:{1,3,4,7}:{(106,1),(107,1),(112,1),(132,1)}
       122:{1,2,4,5,7}:{(106,1),(108,1),(113,1),(116,1),(132,1),(133,1),(135,1)}
       123:{2,3,5,7}:{(107,1),(108,1),(110,1),(114,1),(132,1),(134,1)}
       124:{2,4,6}:{(108,1),(109,1),(118,1),(134,1)}
       125:{1,3,6}:{(110,1),(111,1),(134,1)}
       126:{1,3,5}:{(112,1),(113,1),(114,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(135,1),(136,1)}
       128:{1,2,5,6}:{(116,1),(118,1),(133,1),(136,1)}
       129:{2,4,5,7}:{(117,1),(119,1),(135,1),(137,1)}
       130:{2,3,5,6}:{(117,1),(118,1),(120,1),(134,1),(136,1),(137,1)}
       131:{1,3,4,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,5,7}:{(121,1),(122,1),(123,1),(126,1),(138,1)}
       133:{1,2,4,6}:{(122,1),(124,1),(128,1),(138,1),(139,1)}
       134:{2,3,6}:{(123,1),(124,1),(125,1),(138,1)}
       135:{1,4,5,7}:{(127,1),(129,1),(139,1)}
       136:{1,3,5,6}:{(127,1),(128,1),(130,1),(138,1),(139,1)}
       137:{2,4,6}:{(129,1),(130,1),(131,1),(139,1)}
       138:{1,3,6}:{(132,1),(133,1),(134,1)}
       139:{1,4,6}:{(135,1),(136,1),(137,1)}

2821 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2822 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2823 :   0:{2,3,4,5,6}:{(2,1),(3,1),(26,1),(30,1),(60,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(18,1),(42,1),(72,1),(79,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(60,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(27,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(58,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(79,1)}
        11:{1,2,4,5,6}:{(7,1),(17,1),(18,1),(40,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(77,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(27,1),(57,1),(89,1),(92,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(26,1),(27,1),(28,1),(63,1),(86,1),(98,1),(113,1)}
        19:{2,3,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1)}
        20:{2,3,4,6}:{(13,1),(28,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(26,1),(31,1),(32,1),(63,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(19,1),(37,1),(108,1)}
        26:{2,3,5,6}:{(18,1),(39,1),(40,1),(77,1),(107,1),(108,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(41,1)}
        28:{1,3,4,6}:{(18,1),(20,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,7}:{(19,1),(20,1),(41,1)}
        30:{2,3,4,5}:{(20,1),(42,1),(77,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(46,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(40,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(26,1),(48,1),(49,1),(86,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(27,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(29,1),(51,1),(54,1),(55,1),(60,1)}
        39:{2,3,5,7}:{(26,1),(27,1),(53,1),(57,1),(92,1)}
        40:{2,4,6}:{(26,1),(28,1),(57,1),(58,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(29,1),(57,1)}
        42:{1,3,4,5}:{(28,1),(30,1),(58,1),(63,1),(86,1)}
        43:{2,3,4,5,7}:{(29,1),(30,1),(55,1),(59,1),(60,1),(94,1),(116,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,3,4,6}:{(32,1),(56,1),(62,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(31,1),(32,1),(57,1),(62,1)}
        47:{1,2,4,5}:{(32,1),(58,1),(63,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(67,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(40,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(41,1),(70,1),(73,1),(74,1),(79,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6}:{(40,1),(45,1),(66,1),(76,1),(77,1),(108,1)}
        57:{2,4,7}:{(39,1),(40,1),(41,1)}
        58:{2,4,5}:{(40,1),(42,1),(77,1)}
        59:{1,3,4,5,7}:{(41,1),(42,1),(43,1),(74,1),(78,1),(79,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        60:{2,3,4,6}:{(43,1),(75,1),(79,1),(108,1),(123,1)}
        61:{1,2,4,6,7}:{(44,1),(46,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,3,5}:{(45,1),(47,1),(77,1)}
        64:{1,2,4,5,7}:{(46,1),(47,1),(78,1),(81,1),(82,1),(83,1),(109,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,3,4,6}:{(49,1),(56,1),(85,1),(86,1),(113,1)}
        67:{1,2,4,7}:{(48,1),(49,1),(57,1),(85,1)}
        68:{1,2,4,5}:{(49,1),(58,1),(86,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(57,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(60,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(57,1),(62,1),(85,1),(94,1)}
        77:{2,3,5}:{(56,1),(58,1),(63,1),(86,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(59,1),(92,1),(94,1),(95,1)}
        79:{1,3,4,6}:{(59,1),(60,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(64,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(67,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,3,5}:{(66,1),(68,1),(77,1)}
        87:{1,2,4,5,7}:{(67,1),(68,1),(78,1),(100,1),(101,1),(102,1),(119,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(78,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(78,1),(79,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(87,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2824 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(24,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(28,1),(31,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(37,1),(42,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         7:{1,2,3,5}:{(3,1),(15,1)}
         8:{1,2,3,4,7}:{(3,1),(17,1),(46,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(49,1),(83,1)}
        10:{1,3,4,5}:{(4,1),(18,1),(21,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(5,1),(24,1),(26,1),(55,1),(59,1)}
        14:{1,2,3,6}:{(6,1),(25,1)}
        15:{1,2,4,5}:{(7,1),(27,1),(28,1)}
        16:{1,2,3,5,6}:{(7,1),(28,1),(30,1),(31,1),(60,1),(65,1)}
        17:{1,2,3,5,7}:{(7,1),(8,1),(29,1),(31,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(32,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(37,1),(60,1),(74,1),(91,1),(95,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(66,1),(94,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(32,1),(37,1),(38,1)}
        22:{1,3,4,5,7}:{(10,1),(12,1),(33,1),(38,1),(39,1),(73,1)}
        23:{1,2,4,5,6}:{(11,1),(34,1),(37,1),(40,1),(42,1),(74,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(38,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(39,1),(42,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(41,1),(72,1)}
        27:{1,3,4,5}:{(15,1),(18,1),(43,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(43,1),(46,1)}
        29:{1,2,4,5,7}:{(15,1),(17,1),(44,1),(46,1),(47,1),(80,1)}
        30:{1,2,3,5,7}:{(16,1),(46,1),(48,1),(76,1),(80,1)}
        31:{1,2,3,6}:{(17,1),(47,1)}
        32:{2,3,4,6}:{(18,1),(21,1),(43,1),(49,1),(50,1)}
        33:{2,3,4,5,7}:{(18,1),(22,1),(44,1),(50,1),(51,1),(82,1)}
        34:{2,4,5,6}:{(19,1),(49,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(55,1),(76,1),(88,1),(99,1),(101,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(81,1),(100,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(49,1),(55,1)}
        38:{1,3,4,7}:{(21,1),(24,1),(50,1),(55,1)}
        39:{1,3,4,6}:{(22,1),(25,1),(51,1),(57,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(58,1),(59,1),(88,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(56,1),(59,1)}
        42:{1,2,5,6}:{(25,1),(57,1),(59,1)}
        43:{1,3,4,6}:{(27,1),(28,1),(32,1),(60,1),(61,1)}
        44:{1,3,4,5,7}:{(27,1),(29,1),(33,1),(61,1),(62,1),(90,1)}
        45:{1,2,4,5,6}:{(28,1),(34,1),(60,1),(63,1),(65,1),(91,1)}
        46:{1,2,4,7}:{(28,1),(30,1),(61,1)}
        47:{1,2,4,6}:{(29,1),(31,1),(62,1),(65,1)}
        48:{1,2,3,6,7}:{(30,1),(31,1),(64,1),(89,1)}
        49:{2,3,5,6}:{(32,1),(34,1),(37,1),(60,1),(66,1)}
        50:{2,3,4,7}:{(32,1),(38,1),(61,1),(66,1)}
        51:{2,3,4,6}:{(33,1),(39,1),(62,1),(68,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(66,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(72,1),(89,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(66,1),(72,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(41,1),(67,1),(72,1),(73,1),(97,1)}
        57:{1,3,5,6}:{(39,1),(42,1),(68,1),(73,1),(74,1)}
        58:{1,2,4,6,7}:{(40,1),(69,1),(72,1),(75,1),(97,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(73,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(49,1),(76,1)}
        61:{1,3,4,7}:{(43,1),(46,1),(50,1),(76,1)}
        62:{1,3,4,6}:{(44,1),(47,1),(51,1),(78,1)}
        63:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(76,1),(79,1),(80,1),(99,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(77,1),(80,1)}
        65:{1,2,5,6}:{(47,1),(78,1),(80,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(52,1),(55,1),(76,1),(81,1)}
        67:{2,3,4,6,7}:{(50,1),(51,1),(56,1),(77,1),(81,1),(82,1),(100,1)}
        68:{2,3,5,6}:{(51,1),(57,1),(78,1),(82,1),(83,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(81,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(100,1)}
        72:{1,3,6,7}:{(55,1),(58,1),(81,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(59,1),(82,1),(88,1)}
        74:{1,4,5,6}:{(57,1),(83,1),(88,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(87,1)}
        76:{1,3,5,7}:{(60,1),(61,1),(63,1),(66,1),(89,1)}
        77:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(103,1)}
        78:{1,3,5,6}:{(62,1),(65,1),(68,1),(90,1),(91,1)}
        79:{1,2,4,6,7}:{(63,1),(69,1),(89,1),(92,1),(103,1)}
        80:{1,2,5,7}:{(64,1),(65,1),(90,1)}
        81:{2,3,6,7}:{(66,1),(69,1),(72,1),(89,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(73,1),(90,1),(94,1)}
        83:{2,4,5,6}:{(68,1),(74,1),(91,1),(94,1),(95,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,3,5,6,7}:{(72,1),(73,1),(75,1),(93,1),(97,1)}
        88:{1,4,5,7}:{(73,1),(74,1),(94,1),(97,1)}
        89:{1,3,6,7}:{(76,1),(79,1),(81,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(82,1),(99,1)}
        91:{1,4,5,6}:{(78,1),(83,1),(99,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(98,1)}
        93:{2,3,5,6,7}:{(81,1),(82,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        94:{2,4,5,7}:{(82,1),(83,1),(88,1),(99,1),(100,1),(101,1)}
        95:{3,4,5,6}:{(83,1),(101,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(100,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(100,1)}
        98:{1,3,5,6,7}:{(89,1),(90,1),(92,1),(93,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(91,1),(94,1),(103,1)}
       100:{2,4,6,7}:{(93,1),(94,1),(97,1),(103,1),(104,1)}
       101:{3,4,5,7}:{(94,1),(95,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(100,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

2825 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(44,1),(48,1),(80,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(66,1),(99,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(72,1),(94,1),(101,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(87,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(20,1),(45,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(20,1),(21,1),(85,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(106,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{1,2,4,5,6}:{(13,1),(29,1),(30,1),(64,1),(70,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(25,1),(31,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(104,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(52,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(45,1),(79,1),(84,1),(111,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1),(89,1),(116,1),(120,1),(135,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(40,1),(45,1),(47,1)}
        32:{2,3,4,6}:{(21,1),(46,1),(47,1),(48,1)}
        33:{1,2,3,5,6}:{(44,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(31,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(72,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{2,3,5,6}:{(30,1),(63,1),(64,1),(104,1),(124,1),(129,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(65,1)}
        46:{1,3,4,6}:{(30,1),(32,1),(64,1),(65,1),(66,1)}
        47:{2,3,4,7}:{(31,1),(32,1),(65,1)}
        48:{2,3,4,5}:{(32,1),(66,1),(104,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(63,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(64,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(45,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(76,1),(77,1),(87,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(91,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(52,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(44,1),(81,1),(82,1),(116,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(75,1),(84,1),(111,1)}
        64:{2,4,6}:{(44,1),(46,1),(84,1),(85,1)}
        65:{1,3,4,7}:{(45,1),(46,1),(47,1),(84,1)}
        66:{1,3,4,5}:{(46,1),(48,1),(85,1),(89,1),(116,1)}
        67:{2,3,4,5,7}:{(47,1),(48,1),(51,1),(77,1),(86,1),(87,1),(118,1),(132,1)}
        68:{1,3,4,6}:{(50,1),(83,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(84,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(85,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(65,1),(94,1),(95,1),(106,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(72,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(101,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(64,1),(100,1),(101,1),(102,1)}
        83:{2,3,4,6}:{(64,1),(68,1),(100,1),(103,1),(104,1),(129,1)}
        84:{2,4,7}:{(63,1),(64,1),(65,1)}
        85:{2,4,5}:{(64,1),(66,1),(104,1)}
        86:{1,3,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(95,1),(105,1),(106,1),(107,1),(127,1),(136,1)}
        87:{2,3,4,6}:{(67,1),(72,1),(96,1),(106,1),(129,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(103,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(104,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(84,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(87,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(91,1),(112,1),(139,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(115,1),(116,1),(135,1)}
       101:{1,2,4,7}:{(81,1),(82,1),(84,1),(115,1)}
       102:{1,2,4,5}:{(82,1),(85,1),(116,1)}
       103:{2,3,4,7}:{(83,1),(84,1),(88,1),(115,1),(118,1)}
       104:{2,3,5}:{(83,1),(85,1),(89,1),(116,1)}
       105:{2,4,5,7}:{(84,1),(85,1),(86,1),(111,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(86,1),(87,1),(91,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(101,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(106,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,3,5}:{(100,1),(102,1),(104,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(105,1),(122,1),(127,1),(128,1),(136,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(105,1),(106,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(117,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2826 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(73,1),(74,1),(78,1),(80,1),(82,1),(96,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(65,1),(67,1),(92,1),(102,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(51,1),(74,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(80,1),(81,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(39,1),(62,1),(65,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(67,1),(68,1),(69,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(51,1),(74,1),(79,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(80,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(74,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(58,1),(59,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(61,1),(93,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(62,1),(68,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(67,1)}
        18:{1,3,4,5,6}:{(12,1),(27,1),(28,1),(50,1),(77,1)}
        19:{2,3,4,5,7}:{(13,1),(29,1),(30,1),(49,1),(56,1),(98,1),(99,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(27,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(49,1),(74,1),(82,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(58,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(74,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(58,1),(82,1)}
        27:{1,3,4,5,7}:{(18,1),(20,1),(38,1),(61,1),(89,1)}
        28:{2,4,5,6}:{(18,1),(21,1),(37,1),(38,1),(39,1),(62,1),(88,1)}
        29:{2,3,4,6}:{(19,1),(21,1),(37,1),(41,1),(68,1),(88,1)}
        30:{1,3,4,5,7}:{(19,1),(22,1),(41,1),(42,1),(45,1),(61,1),(66,1),(89,1),(90,1),(102,1),(103,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(42,1),(44,1),(45,1),(48,1),(72,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(61,1),(70,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(62,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(87,1)}
        37:{2,3,5,6}:{(28,1),(29,1),(49,1),(50,1)}
        38:{2,4,5,7}:{(27,1),(28,1),(31,1),(49,1),(51,1),(74,1),(98,1)}
        39:{1,4,5,6}:{(28,1),(32,1),(50,1),(51,1),(97,1)}
        40:{2,3,4,6,7}:{(29,1),(31,1),(49,1),(54,1),(82,1),(98,1)}
        41:{1,3,4,6}:{(29,1),(30,1),(32,1),(50,1),(55,1),(58,1),(80,1),(97,1)}
        42:{2,4,5,7}:{(30,1),(55,1),(56,1),(74,1),(98,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(51,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(55,1),(58,1)}
        45:{1,3,5,7}:{(33,1),(56,1),(58,1),(59,1),(84,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(57,1),(74,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(58,1),(60,1),(75,1),(84,1)}
        48:{1,2,4,7}:{(36,1),(59,1),(60,1),(98,1)}
        49:{2,3,5,7}:{(37,1),(38,1),(40,1),(61,1)}
        50:{1,3,5,6}:{(37,1),(39,1),(41,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(43,1),(61,1),(102,1)}
        52:{1,2,4,5,6}:{(39,1),(44,1),(62,1),(63,1),(64,1),(72,1),(88,1)}
        53:{1,2,4,5,7}:{(42,1),(65,1),(66,1),(85,1),(92,1),(102,1),(103,1),(104,1)}
        54:{1,3,4,6,7}:{(40,1),(41,1),(43,1),(61,1),(67,1),(70,1),(89,1),(93,1),(102,1)}
        55:{2,4,6}:{(41,1),(42,1),(62,1),(68,1)}
        56:{2,3,5,7}:{(42,1),(45,1),(66,1),(68,1),(69,1),(95,1)}
        57:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(63,1),(67,1),(70,1)}
        58:{1,3,6}:{(44,1),(45,1),(68,1)}
        59:{1,3,4,7}:{(45,1),(48,1),(69,1),(71,1)}
        60:{1,2,4,6}:{(47,1),(48,1),(71,1),(72,1),(88,1)}
        61:{1,3,5,7}:{(49,1),(50,1),(51,1),(54,1),(74,1)}
        62:{2,5,6}:{(50,1),(55,1),(74,1)}
        63:{1,2,4,5,7}:{(51,1),(52,1),(57,1),(74,1),(76,1),(98,1)}
        64:{1,3,5,6}:{(52,1),(58,1),(75,1),(76,1),(77,1),(84,1)}
        65:{1,2,4,6}:{(53,1),(55,1),(73,1),(80,1),(97,1)}
        66:{1,3,5,7}:{(53,1),(56,1),(80,1),(81,1),(101,1)}
        67:{2,4,6,7}:{(54,1),(55,1),(74,1),(82,1),(98,1)}
        68:{2,3,6}:{(55,1),(56,1),(58,1),(80,1)}
        69:{2,3,4,7}:{(56,1),(59,1),(81,1),(83,1),(98,1)}
        70:{1,3,6,7}:{(57,1),(58,1),(76,1),(82,1)}
        71:{1,3,4,6}:{(58,1),(59,1),(60,1),(83,1),(84,1)}
        72:{1,2,4,5}:{(60,1),(84,1),(99,1)}
        73:{1,2,5,6}:{(62,1),(65,1),(85,1),(86,1),(104,1)}
        74:{2,5,7}:{(61,1),(62,1),(67,1)}
        75:{2,3,5,6}:{(62,1),(64,1),(68,1),(86,1),(87,1),(88,1),(95,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(70,1),(87,1),(89,1)}
        77:{1,3,4,6}:{(64,1),(88,1),(89,1),(90,1)}
        78:{1,2,3,5,7}:{(66,1),(91,1),(92,1),(104,1)}
        79:{1,2,4,6,7}:{(65,1),(67,1),(85,1),(93,1),(102,1)}
        80:{1,3,6}:{(65,1),(66,1),(68,1)}
        81:{1,3,4,7}:{(66,1),(69,1),(92,1),(94,1),(102,1)}
        82:{2,3,6,7}:{(67,1),(68,1),(70,1),(87,1),(93,1)}
        83:{2,3,4,6}:{(68,1),(69,1),(71,1),(88,1),(94,1),(95,1)}
        84:{1,3,5}:{(71,1),(72,1),(95,1)}
        85:{1,2,5,7}:{(73,1),(74,1),(79,1),(96,1)}
        86:{1,3,5,6}:{(73,1),(75,1),(80,1),(96,1),(97,1),(101,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(96,1),(98,1)}
        88:{2,4,6}:{(75,1),(77,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,7}:{(76,1),(77,1),(98,1)}
        90:{1,3,4,5}:{(77,1),(84,1),(99,1)}
        91:{1,2,3,6}:{(78,1),(80,1),(100,1)}
        92:{1,2,4,7}:{(78,1),(81,1),(100,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(82,1),(96,1)}
        94:{1,3,4,6}:{(80,1),(81,1),(83,1),(97,1),(100,1),(101,1)}
        95:{2,3,5}:{(83,1),(84,1),(99,1),(101,1)}
        96:{1,3,5,7}:{(85,1),(86,1),(87,1),(93,1),(102,1)}
        97:{1,4,6}:{(86,1),(88,1),(102,1),(103,1)}
        98:{2,4,7}:{(87,1),(88,1),(89,1),(102,1)}
        99:{2,4,5}:{(88,1),(90,1),(95,1),(103,1)}
       100:{1,2,4,6}:{(91,1),(92,1),(94,1),(104,1)}
       101:{1,3,5}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,4,7}:{(96,1),(97,1),(98,1)}
       103:{1,4,5}:{(97,1),(99,1),(101,1)}
       104:{1,2,5}:{(100,1),(101,1)}

2827 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(19,1),(59,1),(62,1),(81,1),(84,1),(86,1),(89,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(28,1),(49,1),(75,1),(94,1),(98,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(36,1),(59,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(20,1),(36,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(90,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(11,1),(47,1),(74,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(28,1),(46,1),(69,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(11,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(28,1),(49,1),(76,1),(80,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(19,1),(35,1),(59,1),(62,1)}
        11:{1,3,5,6}:{(6,1),(7,1),(18,1),(19,1),(86,1)}
        12:{1,3,4,5,7}:{(7,1),(18,1),(20,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(40,1),(64,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(24,1),(47,1),(73,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(28,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(29,1),(47,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(28,1),(29,1),(69,1),(76,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(28,1),(31,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(29,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(49,1),(52,1),(56,1)}
        23:{1,3,4,5,6}:{(15,1),(18,1),(34,1),(57,1),(83,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(34,1),(35,1),(36,1),(59,1),(85,1)}
        25:{2,3,4,6,7}:{(16,1),(35,1),(37,1),(39,1),(62,1),(85,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(36,1),(40,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(41,1),(59,1)}
        28:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(41,1),(64,1)}
        30:{2,3,4,5,7}:{(20,1),(35,1),(39,1),(42,1),(67,1),(85,1),(100,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(41,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(64,1)}
        34:{2,4,5,6}:{(23,1),(24,1),(28,1),(45,1),(46,1),(69,1),(92,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(45,1),(47,1)}
        36:{1,4,5,7}:{(24,1),(26,1),(46,1),(47,1),(94,1)}
        37:{1,3,4,6,7}:{(25,1),(26,1),(47,1),(49,1),(50,1),(51,1),(73,1),(74,1),(94,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(48,1),(49,1),(50,1),(52,1)}
        39:{2,3,4,6}:{(28,1),(30,1),(45,1),(51,1),(76,1),(92,1)}
        40:{1,4,6}:{(28,1),(29,1),(31,1)}
        41:{1,2,5,6}:{(29,1),(32,1),(52,1),(69,1)}
        42:{1,3,4,5,7}:{(30,1),(31,1),(47,1),(51,1),(54,1),(55,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(52,1),(54,1),(55,1),(56,1),(78,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(53,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(35,1),(39,1),(57,1)}
        46:{1,4,5,6}:{(34,1),(36,1),(40,1),(57,1),(99,1)}
        47:{1,3,5,7}:{(35,1),(36,1),(37,1),(57,1),(59,1)}
        48:{1,2,4,5,7}:{(36,1),(38,1),(58,1),(59,1),(60,1),(85,1)}
        49:{2,4,6,7}:{(37,1),(59,1),(62,1),(63,1),(85,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(64,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(42,1),(57,1),(63,1),(64,1),(86,1),(99,1)}
        52:{1,2,4,6}:{(40,1),(41,1),(43,1),(63,1),(64,1)}
        53:{1,2,3,5,6}:{(41,1),(44,1),(64,1),(65,1),(82,1),(88,1)}
        54:{2,4,5,7}:{(42,1),(59,1),(63,1),(67,1),(85,1),(100,1)}
        55:{1,3,5,7}:{(43,1),(64,1),(67,1),(68,1),(88,1)}
        56:{1,2,4,7}:{(44,1),(65,1),(68,1),(85,1)}
        57:{1,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(69,1)}
        58:{1,2,4,5,6}:{(46,1),(48,1),(52,1),(69,1),(70,1),(78,1),(92,1)}
        59:{2,5,7}:{(47,1),(49,1),(69,1)}
        60:{1,3,5,7}:{(48,1),(50,1),(70,1),(72,1),(73,1)}
        61:{1,2,4,6,7}:{(49,1),(71,1),(74,1),(75,1),(94,1)}
        62:{2,3,6,7}:{(49,1),(50,1),(72,1),(74,1),(76,1)}
        63:{2,4,6}:{(51,1),(54,1),(69,1),(76,1)}
        64:{1,3,6}:{(52,1),(55,1),(76,1)}
        65:{1,2,4,6}:{(53,1),(56,1),(77,1),(78,1),(92,1)}
        66:{1,2,4,5,7}:{(54,1),(71,1),(75,1),(79,1),(94,1),(98,1),(103,1),(104,1)}
        67:{2,3,5,7}:{(54,1),(55,1),(76,1),(79,1),(80,1),(97,1)}
        68:{1,3,4,7}:{(55,1),(56,1),(77,1),(80,1)}
        69:{2,5,6}:{(57,1),(59,1),(63,1)}
        70:{1,3,5,6}:{(58,1),(60,1),(64,1),(82,1),(83,1),(88,1)}
        71:{1,2,5,7}:{(59,1),(61,1),(81,1),(84,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(84,1),(85,1)}
        73:{1,3,4,7}:{(60,1),(83,1),(85,1)}
        74:{1,3,6,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{1,2,4,6}:{(63,1),(66,1),(81,1),(86,1),(99,1)}
        76:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        77:{1,3,4,6}:{(64,1),(65,1),(68,1),(87,1),(88,1)}
        78:{1,2,4,5}:{(65,1),(88,1),(100,1)}
        79:{1,3,5,7}:{(66,1),(67,1),(86,1),(90,1),(102,1)}
        80:{2,3,4,7}:{(67,1),(68,1),(85,1),(87,1),(90,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{2,3,5,6}:{(69,1),(70,1),(72,1),(76,1),(91,1),(92,1),(97,1)}
        83:{1,3,4,6}:{(70,1),(73,1),(92,1),(93,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(91,1),(94,1)}
        85:{2,4,7}:{(72,1),(73,1),(92,1),(94,1)}
        86:{1,3,6}:{(75,1),(76,1),(79,1)}
        87:{2,3,4,6}:{(76,1),(77,1),(80,1),(92,1),(96,1),(97,1)}
        88:{1,3,5}:{(77,1),(78,1),(97,1)}
        89:{1,2,3,5,7}:{(79,1),(95,1),(98,1),(104,1)}
        90:{1,3,4,7}:{(79,1),(80,1),(94,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(84,1),(86,1),(99,1),(102,1)}
        92:{2,4,6}:{(82,1),(83,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(83,1),(88,1),(100,1)}
        94:{1,4,7}:{(84,1),(85,1),(99,1)}
        95:{1,2,3,6}:{(86,1),(89,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(90,1),(99,1),(101,1),(102,1)}
        97:{2,3,5}:{(87,1),(88,1),(100,1),(102,1)}
        98:{1,2,4,7}:{(89,1),(90,1),(101,1)}
        99:{1,4,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{2,4,5}:{(92,1),(93,1),(97,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2828 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(76,1),(134,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(93,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(110,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(94,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(35,1),(115,1),(122,1),(127,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(45,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(38,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(122,1),(128,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(45,1),(70,1),(100,1),(104,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(45,1),(106,1),(114,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(33,1),(35,1),(122,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(37,1),(38,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(33,1),(38,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(37,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(38,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(58,1),(90,1),(99,1)}
        33:{1,3,4,6,7}:{(24,1),(26,1),(45,1)}
        34:{1,2,3,4,6,7}:{(27,1),(46,1),(55,1),(74,1),(83,1),(108,1)}
        35:{2,3,5,6,7}:{(24,1),(29,1),(45,1),(47,1),(100,1),(106,1)}
        36:{2,3,4,5,6}:{(25,1),(48,1),(49,1),(79,1),(130,1)}
        37:{1,4,5,6}:{(25,1),(28,1),(51,1)}
        38:{2,4,5,7}:{(25,1),(26,1),(29,1),(45,1),(51,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(51,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(33,1),(56,1),(84,1),(118,1)}
        45:{2,4,6,7}:{(33,1),(35,1),(38,1),(58,1)}
        46:{1,2,3,5,7}:{(34,1),(39,1),(59,1),(60,1),(125,1)}
        47:{1,3,5,6,7}:{(35,1),(41,1),(58,1),(61,1),(90,1)}
        48:{1,3,4,5,6}:{(36,1),(37,1),(62,1),(63,1),(65,1),(95,1),(139,1)}
        49:{2,3,4,5,7}:{(36,1),(38,1),(57,1),(63,1),(98,1),(141,1)}
        50:{1,2,4,5,6}:{(37,1),(40,1),(62,1),(65,1),(66,1),(67,1)}
        51:{1,4,5,7}:{(37,1),(38,1),(41,1),(58,1)}
        52:{1,2,4,5}:{(39,1),(64,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(90,1)}
        56:{2,4,5,6,7}:{(44,1),(45,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(45,1),(49,1),(69,1),(71,1),(106,1),(131,1)}
        58:{1,4,6,7}:{(45,1),(47,1),(51,1)}
        59:{1,2,4,5,7}:{(46,1),(52,1),(72,1),(74,1),(83,1)}
        60:{1,2,3,5,6}:{(46,1),(74,1),(107,1)}
        61:{1,2,5,6,7}:{(47,1),(54,1),(73,1),(100,1)}
        62:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        63:{1,3,4,5,7}:{(48,1),(49,1),(51,1),(71,1),(80,1),(82,1),(113,1),(145,1)}
        64:{1,3,4,5}:{(52,1),(78,1),(81,1)}
        65:{1,3,5,6}:{(50,1),(79,1),(81,1),(82,1)}
        66:{1,2,4,5,7}:{(50,1),(51,1),(54,1),(73,1),(80,1),(82,1),(83,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(81,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(58,1),(84,1),(140,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(63,1),(84,1),(88,1),(90,1),(122,1),(140,1)}
        72:{1,3,4,5,7}:{(59,1),(64,1),(87,1),(89,1),(99,1),(125,1)}
        73:{1,2,4,6,7}:{(58,1),(61,1),(66,1),(88,1),(90,1)}
        74:{1,2,4,6}:{(59,1),(60,1),(89,1)}
        75:{1,2,3,5,6,7}:{(60,1),(61,1),(68,1),(90,1),(92,1),(116,1),(125,1)}
        76:{1,2,3,4,6}:{(86,1),(93,1),(120,1),(126,1)}
        77:{1,2,4,5,6}:{(62,1),(95,1),(96,1),(126,1),(139,1),(142,1)}
        78:{2,3,4,5}:{(64,1),(94,1),(97,1)}
        79:{2,3,5,6}:{(62,1),(65,1),(95,1),(97,1),(98,1)}
        80:{2,4,5,7}:{(62,1),(63,1),(88,1),(98,1)}
        81:{1,3,4,6}:{(64,1),(65,1),(67,1),(97,1),(99,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(90,1),(98,1),(99,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(99,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(71,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(73,1),(100,1),(101,1),(109,1),(131,1)}
        86:{1,2,3,4,7}:{(76,1),(102,1),(138,1)}
        87:{2,3,4,5,7}:{(72,1),(78,1),(103,1),(105,1),(114,1),(137,1)}
        88:{2,4,6,7}:{(71,1),(80,1),(100,1),(106,1)}
        89:{1,3,4,6}:{(72,1),(74,1),(105,1),(107,1)}
        90:{1,3,6,7}:{(73,1),(82,1),(106,1)}
        91:{1,2,4,5,6}:{(74,1),(107,1),(109,1),(130,1)}
        92:{1,2,4,6,7}:{(74,1),(75,1),(83,1),(108,1),(109,1),(131,1)}
        93:{1,2,3,5}:{(76,1),(110,1)}
        94:{1,3,4,5}:{(78,1),(110,1),(112,1)}
        95:{1,3,5,6}:{(77,1),(79,1),(112,1),(113,1)}
        96:{1,2,4,5,7}:{(77,1),(80,1),(104,1),(113,1),(138,1),(145,1),(146,1)}
        97:{2,3,4,6}:{(78,1),(79,1),(81,1),(112,1),(114,1)}
        98:{2,3,5,7}:{(79,1),(80,1),(82,1),(106,1),(113,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(83,1),(114,1)}
       100:{2,5,6,7}:{(84,1),(88,1)}
       101:{1,3,5,6,7}:{(85,1),(90,1),(116,1),(118,1),(125,1)}
       102:{1,2,3,5,7}:{(86,1),(93,1),(119,1),(120,1)}
       103:{1,3,4,5,7}:{(87,1),(94,1),(119,1),(121,1),(128,1),(144,1)}
       104:{1,2,4,6,7}:{(88,1),(96,1),(115,1),(122,1),(140,1)}
       105:{2,3,4,6}:{(87,1),(89,1),(121,1),(123,1)}
       106:{2,3,6,7}:{(88,1),(90,1),(98,1),(122,1)}
       107:{1,3,5,6}:{(89,1),(91,1),(123,1),(125,1)}
       108:{1,3,4,6,7}:{(89,1),(90,1),(92,1),(99,1),(124,1),(125,1)}
       109:{1,2,4,5,7}:{(91,1),(92,1),(125,1),(141,1)}
       110:{1,2,4,5}:{(93,1),(94,1),(126,1)}
       111:{1,2,3,5,6}:{(93,1),(95,1),(120,1),(126,1),(127,1),(142,1)}
       112:{1,3,4,6}:{(94,1),(95,1),(97,1),(126,1),(128,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(122,1),(128,1)}
       114:{2,3,4,7}:{(97,1),(98,1),(99,1),(128,1)}
       115:{1,2,5,6,7}:{(100,1),(104,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(106,1),(129,1),(131,1),(137,1)}
       117:{1,3,4,5,6}:{(107,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(110,1),(133,1),(138,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,3,4,6}:{(103,1),(105,1),(133,1),(135,1)}
       122:{1,3,6,7}:{(104,1),(106,1),(113,1)}
       123:{2,3,5,6}:{(105,1),(107,1),(130,1),(135,1),(137,1)}
       124:{2,3,4,6,7}:{(105,1),(106,1),(108,1),(114,1),(131,1),(136,1),(137,1)}
       125:{1,3,5,7}:{(107,1),(108,1),(109,1),(137,1)}
       126:{1,2,4,6}:{(110,1),(111,1),(112,1),(138,1)}
       127:{1,2,3,5,7}:{(111,1),(113,1),(134,1),(138,1),(146,1)}
       128:{1,3,4,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(122,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(123,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(125,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(121,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(127,1),(143,1)}
       135:{1,3,5,6}:{(121,1),(123,1),(139,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(121,1),(122,1),(124,1),(128,1),(140,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(123,1),(124,1),(125,1),(141,1),(144,1)}
       138:{1,2,4,7}:{(126,1),(127,1),(128,1)}
       139:{1,4,5,6}:{(130,1),(135,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(137,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2829 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(93,1),(122,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(110,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(123,1),(124,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(104,1),(107,1),(111,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(112,1),(113,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(123,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(98,1),(99,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(111,1),(112,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(85,1),(86,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(65,1),(90,1),(94,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(97,1),(98,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(74,1),(75,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(111,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(84,1),(85,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(42,1),(43,1),(69,1),(141,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(90,1),(97,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(74,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(74,1)}
        41:{1,3,4,5,6,7}:{(32,1),(52,1),(77,1),(106,1)}
        42:{2,3,4,5,7}:{(31,1),(33,1),(53,1),(54,1),(82,1),(132,1)}
        43:{1,3,4,5,6}:{(31,1),(34,1),(54,1),(55,1),(58,1),(80,1),(145,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(55,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(84,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(84,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,4,5,6,7}:{(41,1),(44,1),(64,1),(65,1),(90,1),(120,1)}
        53:{2,3,4,6,7}:{(42,1),(44,1),(64,1),(67,1),(97,1),(120,1)}
        54:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(67,1),(68,1),(71,1),(95,1),(140,1)}
        55:{2,4,5,6}:{(43,1),(68,1),(69,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(68,1),(70,1),(71,1),(74,1)}
        58:{1,3,5,6}:{(46,1),(69,1),(71,1),(72,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(70,1),(90,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(71,1),(74,1)}
        61:{1,2,4,6}:{(49,1),(72,1),(74,1),(75,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(74,1),(76,1),(100,1),(103,1)}
        63:{1,2,3,5}:{(51,1),(75,1)}
        64:{2,3,5,6,7}:{(52,1),(53,1),(77,1)}
        65:{1,4,5,6,7}:{(52,1),(56,1),(77,1),(131,1)}
        66:{1,2,4,5,6}:{(55,1),(79,1),(80,1),(108,1),(145,1),(146,1)}
        67:{1,3,4,6,7}:{(53,1),(54,1),(56,1),(77,1),(81,1),(84,1),(111,1),(131,1)}
        68:{2,4,5,7}:{(54,1),(55,1),(81,1),(82,1)}
        69:{2,3,5,6}:{(55,1),(58,1),(80,1),(82,1),(83,1)}
        70:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(81,1),(84,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(82,1),(84,1),(85,1)}
        72:{1,3,4,6}:{(58,1),(61,1),(83,1),(85,1),(86,1)}
        73:{1,2,3,5,6,7}:{(59,1),(60,1),(84,1),(87,1),(89,1),(105,1),(116,1)}
        74:{1,2,4,7}:{(60,1),(61,1),(85,1)}
        75:{1,2,4,5}:{(61,1),(63,1),(86,1)}
        76:{1,2,3,5,7}:{(62,1),(63,1),(88,1),(89,1),(116,1)}
        77:{1,3,5,6,7}:{(64,1),(65,1),(67,1),(90,1)}
        78:{1,2,4,5,6,7}:{(65,1),(70,1),(90,1),(91,1),(102,1),(120,1)}
        79:{1,2,4,5,7}:{(66,1),(68,1),(94,1),(95,1),(123,1),(140,1),(142,1)}
        80:{1,3,5,6}:{(66,1),(69,1),(95,1),(96,1)}
        81:{2,4,6,7}:{(67,1),(68,1),(90,1),(97,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(95,1),(97,1),(98,1)}
        83:{2,3,4,6}:{(69,1),(72,1),(96,1),(98,1),(99,1)}
        84:{1,3,6,7}:{(70,1),(71,1),(97,1)}
        85:{1,3,4,7}:{(71,1),(72,1),(74,1),(98,1)}
        86:{1,3,4,5}:{(72,1),(75,1),(99,1)}
        87:{1,2,4,6,7}:{(73,1),(74,1),(100,1),(102,1),(103,1),(120,1)}
        88:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(101,1),(103,1)}
        89:{1,2,3,5,6}:{(76,1),(103,1),(130,1)}
        90:{2,5,6,7}:{(77,1),(81,1)}
        91:{1,3,5,6,7}:{(78,1),(84,1),(105,1),(106,1),(116,1)}
        92:{1,2,3,5,6}:{(80,1),(107,1),(108,1),(110,1),(136,1),(146,1)}
        93:{1,2,3,4,6}:{(108,1),(109,1),(110,1),(136,1)}
        94:{1,2,4,6,7}:{(79,1),(81,1),(104,1),(111,1),(131,1)}
        95:{1,3,5,7}:{(79,1),(80,1),(82,1),(111,1),(112,1)}
        96:{1,3,4,6}:{(80,1),(83,1),(108,1),(112,1),(113,1)}
        97:{2,3,6,7}:{(81,1),(82,1),(84,1),(111,1)}
        98:{2,3,4,7}:{(82,1),(83,1),(85,1),(112,1)}
        99:{2,3,4,5}:{(83,1),(86,1),(113,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(87,1),(114,1),(116,1),(117,1)}
       101:{1,3,4,5,7}:{(85,1),(86,1),(88,1),(115,1),(116,1),(117,1)}
       102:{1,2,4,5,7}:{(87,1),(116,1),(118,1),(132,1)}
       103:{1,2,4,6}:{(88,1),(89,1),(117,1)}
       104:{1,2,5,6,7}:{(90,1),(94,1),(119,1),(142,1)}
       105:{2,3,5,6,7}:{(90,1),(91,1),(97,1),(119,1),(120,1),(128,1)}
       106:{1,3,4,6,7}:{(91,1),(120,1),(121,1)}
       107:{1,2,3,5,7}:{(92,1),(95,1),(122,1),(123,1),(142,1)}
       108:{1,2,4,6}:{(92,1),(96,1),(123,1),(124,1)}
       109:{1,2,3,4,7}:{(93,1),(123,1),(125,1)}
       110:{1,2,3,5}:{(93,1),(124,1)}
       111:{1,3,6,7}:{(94,1),(95,1),(97,1)}
       112:{1,3,4,7}:{(95,1),(96,1),(98,1),(123,1)}
       113:{1,3,4,5}:{(96,1),(99,1),(124,1)}
       114:{2,3,4,6,7}:{(97,1),(98,1),(100,1),(120,1),(126,1),(128,1),(129,1)}
       115:{2,3,4,5,7}:{(98,1),(99,1),(101,1),(127,1),(128,1),(129,1)}
       116:{1,3,5,7}:{(100,1),(102,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(101,1),(103,1),(129,1),(130,1)}
       118:{1,2,4,5,6}:{(102,1),(103,1),(130,1),(141,1)}
       119:{1,3,5,6,7}:{(104,1),(105,1),(111,1),(131,1),(137,1)}
       120:{2,4,6,7}:{(105,1),(106,1),(131,1),(132,1)}
       121:{1,3,4,5,7}:{(106,1),(116,1),(132,1),(133,1)}
       122:{1,2,3,6,7}:{(107,1),(111,1),(134,1),(136,1)}
       123:{1,2,4,7}:{(107,1),(108,1),(112,1)}
       124:{1,2,4,5}:{(108,1),(110,1),(113,1)}
       125:{1,2,3,5,7}:{(109,1),(110,1),(135,1),(136,1)}
       126:{1,3,4,6,7}:{(111,1),(112,1),(114,1),(131,1),(134,1),(137,1),(138,1)}
       127:{1,3,4,5,7}:{(112,1),(113,1),(115,1),(135,1),(137,1),(138,1)}
       128:{2,3,5,7}:{(114,1),(116,1),(132,1),(137,1),(139,1)}
       129:{2,3,4,6}:{(115,1),(117,1),(138,1),(139,1)}
       130:{1,3,5,6}:{(116,1),(117,1),(118,1),(139,1)}
       131:{1,4,6,7}:{(119,1),(120,1),(140,1)}
       132:{2,4,5,7}:{(120,1),(121,1),(128,1),(140,1),(141,1)}
       133:{1,3,4,5,6}:{(121,1),(130,1),(141,1)}
       134:{1,2,4,6,7}:{(122,1),(123,1),(126,1),(142,1),(143,1)}
       135:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(127,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(125,1),(143,1)}
       137:{1,3,5,7}:{(126,1),(128,1),(140,1),(142,1),(144,1)}
       138:{1,3,4,6}:{(127,1),(129,1),(143,1),(144,1)}
       139:{2,3,5,6}:{(128,1),(129,1),(130,1),(141,1),(144,1)}
       140:{1,4,5,7}:{(131,1),(132,1),(137,1),(145,1)}
       141:{2,4,5,6}:{(132,1),(133,1),(139,1),(145,1)}
       142:{1,2,5,7}:{(134,1),(137,1),(146,1)}
       143:{1,2,4,6}:{(135,1),(136,1),(138,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(145,1),(146,1)}
       145:{1,4,5,6}:{(140,1),(141,1),(144,1)}
       146:{1,2,5,6}:{(142,1),(143,1),(144,1)}

2830 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(18,1),(98,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(8,1),(112,1),(137,1)}
         4:{1,2,4,5}:{(2,1),(6,1),(9,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(25,1),(27,1)}
         6:{1,3,4,5}:{(4,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(18,1),(43,1),(125,1),(146,1)}
         8:{1,2,3,6}:{(3,1),(15,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(18,1),(42,1),(43,1)}
        11:{1,2,3,4}:{(20,1)}
        12:{2,3,4,5}:{(6,1),(21,1),(23,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(22,1),(24,1),(26,1),(59,1),(113,1),(139,1)}
        14:{1,3,4,6}:{(6,1),(9,1),(23,1),(25,1),(26,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(24,1),(27,1)}
        16:{1,2,3,6,7}:{(8,1),(10,1),(28,1),(60,1),(137,1)}
        17:{1,2,4,5,6}:{(9,1),(25,1),(27,1),(29,1),(45,1),(58,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(26,1)}
        19:{1,2,3,4,7}:{(11,1),(31,1),(32,1),(102,1)}
        20:{1,2,3,5}:{(11,1),(33,1),(34,1)}
        21:{1,3,4,5}:{(12,1),(33,1),(36,1)}
        22:{2,3,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(39,1),(75,1),(99,1),(129,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(36,1),(38,1),(39,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(37,1),(40,1)}
        25:{1,3,5,6}:{(14,1),(17,1),(38,1),(42,1)}
        26:{1,3,4,7}:{(14,1),(18,1),(39,1),(42,1)}
        27:{1,2,5,6}:{(15,1),(40,1),(43,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(43,1),(146,1),(153,1)}
        29:{1,2,4,5,7}:{(17,1),(18,1),(42,1),(43,1),(44,1),(63,1),(77,1)}
        30:{1,3,4,5,6}:{(25,1),(45,1),(46,1),(58,1),(91,1)}
        31:{1,2,3,4,6}:{(19,1),(47,1),(49,1),(83,1)}
        32:{1,2,3,5,7}:{(19,1),(20,1),(47,1),(48,1),(49,1),(51,1)}
        33:{1,2,4,5}:{(20,1),(21,1),(50,1)}
        34:{1,2,3,6}:{(20,1),(50,1),(51,1)}
        35:{1,3,4,5,7}:{(21,1),(22,1),(48,1),(52,1),(54,1),(82,1),(89,1),(116,1)}
        36:{1,3,4,6}:{(21,1),(23,1),(50,1),(53,1),(54,1)}
        37:{2,3,4,6}:{(22,1),(24,1),(52,1),(55,1)}
        38:{2,3,5,6}:{(23,1),(25,1),(45,1),(53,1),(57,1)}
        39:{2,3,4,7}:{(23,1),(26,1),(54,1),(57,1)}
        40:{1,3,5,6}:{(24,1),(27,1),(55,1),(58,1),(59,1)}
        41:{1,3,4,6,7}:{(24,1),(26,1),(28,1),(56,1),(59,1),(60,1),(94,1),(139,1),(152,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(59,1)}
        44:{1,2,4,6,7}:{(29,1),(60,1),(61,1),(80,1),(94,1)}
        45:{2,4,5,6}:{(30,1),(38,1),(62,1),(63,1)}
        46:{1,3,4,5,7}:{(30,1),(42,1),(63,1),(64,1),(77,1),(108,1)}
        47:{1,2,3,5}:{(31,1),(65,1)}
        48:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(65,1),(67,1),(70,1),(102,1),(103,1)}
        49:{1,2,3,6}:{(32,1),(67,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(36,1),(69,1),(70,1)}
        51:{1,2,3,7}:{(34,1),(70,1)}
        52:{1,3,4,6}:{(35,1),(37,1),(67,1),(71,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(62,1),(69,1),(73,1)}
        54:{1,3,4,7}:{(36,1),(39,1),(70,1),(73,1)}
        55:{2,3,5,6}:{(37,1),(40,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6,7}:{(37,1),(39,1),(41,1),(72,1),(75,1),(76,1),(109,1),(129,1),(148,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(42,1),(63,1),(73,1),(76,1)}
        58:{1,4,5,6}:{(40,1),(74,1),(77,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(43,1),(75,1),(77,1)}
        60:{1,3,6,7}:{(42,1),(44,1),(76,1)}
        61:{1,2,5,6,7}:{(43,1),(44,1),(78,1),(96,1),(153,1)}
        62:{1,4,5,6}:{(45,1),(53,1),(79,1)}
        63:{2,4,5,7}:{(45,1),(46,1),(57,1),(79,1),(80,1)}
        64:{1,3,4,6,7}:{(46,1),(60,1),(80,1),(81,1),(94,1),(122,1)}
        65:{1,2,4,5}:{(47,1),(82,1),(83,1)}
        66:{1,2,3,5,6}:{(47,1),(49,1),(83,1),(84,1),(85,1),(115,1)}
        67:{1,2,4,6}:{(48,1),(49,1),(52,1),(85,1)}
        68:{1,2,3,6,7}:{(49,1),(51,1),(84,1),(86,1),(141,1)}
        69:{1,2,5,6}:{(50,1),(53,1),(87,1)}
        70:{1,2,4,7}:{(50,1),(51,1),(54,1),(87,1)}
        71:{1,3,5,6}:{(52,1),(55,1),(85,1),(88,1),(89,1)}
        72:{1,3,4,6,7}:{(52,1),(54,1),(56,1),(86,1),(89,1),(90,1),(116,1),(121,1),(141,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(57,1),(79,1),(87,1),(90,1)}
        74:{2,4,5,6}:{(55,1),(58,1),(88,1),(91,1),(92,1)}
        75:{2,3,5,7}:{(55,1),(56,1),(59,1),(89,1),(92,1)}
        76:{2,3,6,7}:{(57,1),(60,1),(80,1),(90,1)}
        77:{1,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        78:{1,3,5,6,7}:{(59,1),(60,1),(61,1),(93,1),(94,1),(150,1),(152,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(73,1),(95,1)}
        80:{2,4,6,7}:{(63,1),(64,1),(76,1),(95,1),(96,1)}
        81:{1,3,5,6,7}:{(64,1),(96,1),(97,1),(124,1)}
        82:{1,3,4,5}:{(65,1),(99,1),(100,1)}
        83:{1,2,4,6}:{(65,1),(66,1),(100,1),(102,1)}
        84:{1,2,3,5,7}:{(66,1),(68,1),(102,1),(103,1),(130,1)}
        85:{1,2,5,6}:{(67,1),(71,1),(103,1)}
        86:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(72,1),(102,1),(103,1),(104,1)}
        87:{1,2,5,7}:{(69,1),(70,1),(73,1),(104,1)}
        88:{1,4,5,6}:{(71,1),(74,1),(106,1)}
        89:{1,3,5,7}:{(71,1),(72,1),(75,1),(103,1),(106,1)}
        90:{1,3,6,7}:{(73,1),(76,1),(95,1),(104,1)}
        91:{3,4,5,6}:{(74,1),(108,1)}
        92:{2,4,5,7}:{(74,1),(75,1),(77,1),(106,1),(108,1),(109,1)}
        93:{2,3,5,6,7}:{(75,1),(76,1),(78,1),(96,1),(107,1),(109,1),(124,1),(144,1),(148,1)}
        94:{1,4,6,7}:{(77,1),(78,1),(109,1)}
        95:{1,4,6,7}:{(79,1),(80,1),(90,1),(110,1)}
        96:{2,5,6,7}:{(80,1),(81,1),(110,1)}
        97:{1,4,5,6,7}:{(81,1),(94,1),(111,1),(150,1)}
        98:{1,2,3,4}:{(112,1)}
        99:{2,3,4,5}:{(82,1),(113,1),(114,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(114,1),(115,1),(116,1)}
       101:{1,2,4,5,6}:{(83,1),(85,1),(88,1),(115,1),(117,1),(119,1)}
       102:{1,2,4,7}:{(83,1),(84,1),(116,1)}
       103:{1,2,5,7}:{(85,1),(86,1),(89,1)}
       104:{1,2,6,7}:{(87,1),(90,1)}
       105:{1,3,4,5,6}:{(88,1),(91,1),(115,1),(119,1),(120,1)}
       106:{1,4,5,7}:{(88,1),(89,1),(92,1),(121,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(93,1),(110,1),(118,1),(121,1),(141,1)}
       108:{3,4,5,7}:{(91,1),(92,1),(122,1)}
       109:{2,4,6,7}:{(92,1),(93,1),(94,1),(121,1),(122,1)}
       110:{1,5,6,7}:{(95,1),(96,1)}
       111:{2,4,5,6,7}:{(96,1),(97,1),(109,1),(123,1),(124,1),(144,1)}
       112:{1,2,3,5}:{(98,1),(125,1),(126,1)}
       113:{1,3,4,5}:{(99,1),(125,1),(127,1)}
       114:{2,3,4,6}:{(99,1),(100,1),(127,1),(128,1),(129,1)}
       115:{1,3,5,6}:{(100,1),(101,1),(128,1),(130,1)}
       116:{1,3,4,7}:{(100,1),(102,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(103,1),(106,1),(130,1),(131,1),(133,1)}
       118:{1,2,5,6,7}:{(103,1),(104,1),(107,1),(131,1),(144,1)}
       119:{2,4,5,6}:{(105,1),(128,1),(132,1),(133,1)}
       120:{1,3,4,5,7}:{(105,1),(106,1),(108,1),(130,1),(133,1),(134,1)}
       121:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       122:{3,4,6,7}:{(108,1),(109,1),(124,1)}
       123:{1,4,5,6,7}:{(110,1),(111,1),(121,1),(135,1)}
       124:{3,5,6,7}:{(111,1),(122,1)}
       125:{1,2,4,5}:{(112,1),(113,1),(136,1)}
       126:{1,2,3,6}:{(112,1),(136,1),(137,1)}
       127:{1,3,4,6}:{(113,1),(114,1),(136,1),(138,1),(139,1)}
       128:{2,3,5,6}:{(114,1),(115,1),(119,1),(138,1),(140,1)}
       129:{2,3,4,7}:{(114,1),(116,1),(139,1),(140,1)}
       130:{1,3,5,7}:{(115,1),(116,1),(117,1),(140,1),(141,1)}
       131:{1,2,4,6,7}:{(117,1),(118,1),(121,1),(141,1),(143,1)}
       132:{1,4,5,6}:{(119,1),(138,1),(142,1)}
       133:{2,4,5,7}:{(119,1),(120,1),(140,1),(142,1),(143,1)}
       134:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(135,1),(141,1),(143,1)}
       135:{1,3,5,6,7}:{(123,1),(124,1),(134,1),(144,1)}
       136:{1,2,4,6}:{(125,1),(126,1),(127,1),(145,1),(146,1)}
       137:{1,2,3,7}:{(126,1),(146,1)}
       138:{1,3,5,6}:{(127,1),(128,1),(132,1),(145,1),(147,1)}
       139:{1,3,4,7}:{(127,1),(129,1),(146,1),(147,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(147,1),(148,1)}
       141:{1,3,6,7}:{(130,1),(131,1),(148,1)}
       142:{1,4,5,7}:{(132,1),(133,1),(147,1),(149,1)}
       143:{2,4,6,7}:{(133,1),(134,1),(144,1),(148,1),(149,1)}
       144:{2,5,6,7}:{(135,1),(143,1),(150,1)}
       145:{1,2,5,6}:{(136,1),(138,1),(151,1)}
       146:{1,2,4,7}:{(136,1),(137,1),(139,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{2,3,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{1,4,6,7}:{(142,1),(143,1),(150,1),(152,1)}
       150:{1,5,6,7}:{(144,1),(149,1)}
       151:{1,2,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,2,6,7}:{(151,1),(152,1)}

2831 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(23,1),(114,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,4,5}:{(2,1),(9,1),(11,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(12,1),(129,1),(149,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(33,1),(37,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(16,1),(83,1)}
         8:{1,2,3,5}:{(3,1),(14,1),(17,1)}
         9:{1,3,4,5}:{(4,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(22,1),(23,1),(55,1),(115,1),(142,1)}
        11:{1,2,4,6}:{(4,1),(6,1),(20,1),(23,1)}
        12:{1,2,3,6}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(23,1),(24,1),(51,1),(55,1)}
        14:{1,2,4,5}:{(8,1),(25,1),(27,1)}
        15:{1,2,3,4,6}:{(7,1),(28,1),(29,1),(63,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(28,1),(29,1),(30,1)}
        17:{1,2,3,6}:{(8,1),(27,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(34,1),(35,1),(72,1),(98,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(32,1),(33,1),(35,1)}
        21:{1,2,4,5,6}:{(11,1),(33,1),(36,1),(37,1),(65,1),(71,1)}
        22:{1,2,4,6}:{(10,1),(12,1),(34,1),(37,1)}
        23:{1,2,4,7}:{(11,1),(13,1),(35,1)}
        24:{1,2,3,6,7}:{(12,1),(13,1),(38,1),(70,1),(149,1)}
        25:{1,3,4,5}:{(14,1),(18,1),(40,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(39,1),(42,1),(43,1),(44,1),(80,1),(83,1)}
        27:{1,2,4,6}:{(14,1),(17,1),(40,1),(41,1),(43,1)}
        28:{1,2,3,5}:{(15,1),(44,1)}
        29:{1,2,3,6}:{(16,1),(42,1)}
        30:{1,2,3,7}:{(17,1),(43,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(48,1),(49,1),(81,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(47,1),(49,1)}
        33:{1,3,5,6}:{(20,1),(21,1),(47,1),(51,1)}
        34:{1,3,4,6}:{(19,1),(22,1),(48,1),(52,1)}
        35:{1,3,4,7}:{(20,1),(23,1),(49,1),(51,1)}
        36:{1,2,4,5,7}:{(21,1),(23,1),(51,1),(54,1),(55,1),(84,1),(90,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(55,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(53,1),(55,1),(142,1),(152,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(31,1),(57,1),(58,1),(62,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(27,1),(32,1),(56,1),(58,1)}
        41:{1,2,5,6}:{(27,1),(56,1),(59,1)}
        42:{1,2,4,6}:{(26,1),(29,1),(57,1),(60,1)}
        43:{1,2,4,7}:{(27,1),(30,1),(58,1),(59,1)}
        44:{1,2,4,5}:{(28,1),(62,1),(63,1)}
        45:{1,2,3,5,6}:{(28,1),(29,1),(60,1),(63,1),(64,1),(96,1)}
        46:{1,2,3,6,7}:{(29,1),(30,1),(61,1),(64,1),(126,1)}
        47:{2,3,5,6}:{(32,1),(33,1),(56,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(34,1),(57,1),(67,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(66,1)}
        50:{1,3,4,5,6}:{(33,1),(65,1),(69,1),(71,1),(103,1)}
        51:{1,3,5,7}:{(33,1),(35,1),(36,1),(66,1),(70,1)}
        52:{1,3,5,6}:{(34,1),(37,1),(67,1),(71,1),(72,1)}
        53:{1,3,4,6,7}:{(34,1),(35,1),(38,1),(68,1),(70,1),(72,1),(106,1),(131,1),(147,1)}
        54:{1,2,4,6,7}:{(36,1),(70,1),(73,1),(101,1),(106,1)}
        55:{1,2,5,7}:{(37,1),(38,1),(72,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(47,1),(74,1),(75,1)}
        57:{1,3,4,6}:{(39,1),(42,1),(48,1),(76,1)}
        58:{1,3,4,7}:{(40,1),(43,1),(49,1),(75,1)}
        59:{1,2,5,7}:{(41,1),(43,1),(75,1),(78,1)}
        60:{1,2,5,6}:{(42,1),(76,1),(80,1)}
        61:{1,2,4,6,7}:{(42,1),(43,1),(46,1),(77,1),(78,1),(80,1),(83,1)}
        62:{1,3,4,5}:{(44,1),(81,1),(82,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(82,1),(83,1)}
        64:{1,2,3,5,7}:{(45,1),(46,1),(80,1),(83,1),(113,1)}
        65:{2,4,5,6}:{(47,1),(50,1),(74,1),(84,1)}
        66:{2,3,5,7}:{(47,1),(49,1),(51,1),(75,1),(84,1),(85,1)}
        67:{2,3,5,6}:{(48,1),(52,1),(76,1),(86,1),(87,1)}
        68:{2,3,4,6,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(87,1),(117,1),(119,1),(138,1)}
        69:{1,3,4,5,7}:{(50,1),(51,1),(84,1),(88,1),(90,1),(120,1)}
        70:{1,3,6,7}:{(51,1),(54,1),(85,1)}
        71:{1,4,5,6}:{(52,1),(86,1),(90,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(55,1),(87,1),(90,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(89,1),(118,1),(152,1)}
        74:{1,4,5,6}:{(56,1),(65,1),(91,1)}
        75:{1,3,5,7}:{(56,1),(58,1),(59,1),(66,1),(91,1),(92,1)}
        76:{1,3,5,6}:{(57,1),(60,1),(67,1),(93,1),(94,1)}
        77:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(68,1),(92,1),(94,1),(100,1),(123,1),(126,1)}
        78:{1,2,6,7}:{(59,1),(92,1)}
        79:{1,2,4,5,6}:{(60,1),(63,1),(93,1),(96,1),(97,1),(124,1)}
        80:{1,2,5,7}:{(60,1),(61,1),(94,1)}
        81:{2,3,4,5}:{(62,1),(98,1),(99,1)}
        82:{1,3,4,6}:{(62,1),(63,1),(96,1),(99,1),(100,1)}
        83:{1,2,4,7}:{(63,1),(64,1),(100,1)}
        84:{2,4,5,7}:{(65,1),(66,1),(69,1),(91,1),(101,1)}
        85:{2,3,6,7}:{(66,1),(70,1),(92,1),(101,1)}
        86:{2,4,5,6}:{(67,1),(71,1),(93,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(72,1),(94,1),(104,1)}
        88:{1,3,4,6,7}:{(69,1),(70,1),(101,1),(105,1),(106,1),(133,1)}
        89:{1,3,5,6,7}:{(70,1),(72,1),(73,1),(102,1),(106,1),(147,1),(153,1)}
        90:{1,4,5,7}:{(71,1),(72,1),(104,1),(106,1)}
        91:{1,4,5,7}:{(74,1),(75,1),(84,1),(107,1)}
        92:{1,3,6,7}:{(75,1),(78,1),(85,1),(107,1)}
        93:{1,4,5,6}:{(76,1),(86,1),(110,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(110,1)}
        95:{1,2,5,6,7}:{(78,1),(80,1),(108,1),(111,1),(150,1)}
        96:{1,3,5,6}:{(79,1),(82,1),(112,1),(113,1)}
        97:{1,2,4,5,7}:{(79,1),(80,1),(83,1),(110,1),(111,1),(113,1),(137,1)}
        98:{1,3,4,5}:{(81,1),(115,1),(116,1)}
        99:{2,3,4,6}:{(81,1),(82,1),(112,1),(116,1),(117,1)}
       100:{1,3,4,7}:{(82,1),(83,1),(113,1),(117,1)}
       101:{2,4,6,7}:{(84,1),(85,1),(88,1),(107,1),(118,1)}
       102:{2,3,5,6,7}:{(85,1),(87,1),(89,1),(108,1),(118,1),(119,1),(138,1),(143,1),(150,1)}
       103:{3,4,5,6}:{(86,1),(120,1)}
       104:{2,4,5,7}:{(86,1),(87,1),(90,1),(110,1),(119,1),(120,1)}
       105:{1,3,5,6,7}:{(88,1),(118,1),(121,1),(143,1)}
       106:{1,4,6,7}:{(89,1),(90,1),(119,1)}
       107:{1,4,6,7}:{(91,1),(92,1),(101,1),(122,1)}
       108:{1,3,5,6,7}:{(92,1),(94,1),(95,1),(102,1),(122,1),(123,1),(126,1)}
       109:{1,3,4,5,6}:{(93,1),(96,1),(103,1),(124,1),(125,1)}
       110:{1,4,5,7}:{(93,1),(94,1),(104,1),(123,1)}
       111:{1,2,4,6,7}:{(95,1),(97,1),(123,1),(126,1),(145,1)}
       112:{2,3,5,6}:{(96,1),(99,1),(124,1),(127,1),(128,1)}
       113:{1,3,5,7}:{(96,1),(97,1),(100,1),(126,1),(128,1)}
       114:{1,2,3,4}:{(129,1)}
       115:{1,2,4,5}:{(98,1),(129,1),(130,1)}
       116:{1,3,4,6}:{(98,1),(99,1),(127,1),(130,1),(131,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(128,1),(131,1)}
       118:{2,5,6,7}:{(101,1),(105,1),(122,1)}
       119:{2,4,6,7}:{(102,1),(104,1),(106,1),(123,1),(133,1)}
       120:{3,4,5,7}:{(103,1),(104,1),(133,1)}
       121:{1,4,5,6,7}:{(105,1),(106,1),(132,1),(153,1)}
       122:{1,5,6,7}:{(107,1),(118,1)}
       123:{1,4,6,7}:{(108,1),(110,1),(119,1)}
       124:{2,4,5,6}:{(109,1),(112,1),(136,1),(137,1)}
       125:{1,3,4,5,7}:{(109,1),(110,1),(113,1),(120,1),(135,1),(137,1)}
       126:{1,3,6,7}:{(111,1),(113,1),(138,1)}
       127:{1,3,5,6}:{(112,1),(116,1),(136,1),(139,1),(140,1)}
       128:{2,3,5,7}:{(112,1),(113,1),(117,1),(137,1),(138,1),(140,1)}
       129:{1,2,3,5}:{(114,1),(115,1),(141,1)}
       130:{1,2,4,6}:{(115,1),(116,1),(139,1),(141,1),(142,1)}
       131:{1,3,4,7}:{(116,1),(117,1),(140,1),(142,1)}
       132:{2,4,5,6,7}:{(118,1),(119,1),(121,1),(134,1),(143,1),(150,1)}
       133:{3,4,6,7}:{(119,1),(120,1),(143,1)}
       134:{1,4,5,6,7}:{(122,1),(123,1),(132,1),(144,1)}
       135:{1,3,4,6,7}:{(123,1),(125,1),(126,1),(133,1),(144,1),(145,1)}
       136:{1,4,5,6}:{(124,1),(127,1),(146,1)}
       137:{2,4,5,7}:{(124,1),(125,1),(128,1),(145,1),(146,1)}
       138:{2,3,6,7}:{(126,1),(128,1),(145,1),(147,1)}
       139:{1,2,5,6}:{(127,1),(130,1),(148,1)}
       140:{1,3,5,7}:{(127,1),(128,1),(131,1),(146,1),(147,1),(148,1)}
       141:{1,2,3,6}:{(129,1),(130,1),(149,1)}
       142:{1,2,4,7}:{(130,1),(131,1),(148,1),(149,1)}
       143:{3,5,6,7}:{(132,1),(133,1)}
       144:{1,3,5,6,7}:{(134,1),(135,1),(143,1),(150,1)}
       145:{2,4,6,7}:{(135,1),(137,1),(138,1),(150,1),(151,1)}
       146:{1,4,5,7}:{(136,1),(137,1),(140,1),(151,1)}
       147:{1,3,6,7}:{(138,1),(140,1),(151,1),(152,1)}
       148:{1,2,5,7}:{(139,1),(140,1),(142,1),(152,1)}
       149:{1,2,3,7}:{(141,1),(142,1)}
       150:{2,5,6,7}:{(144,1),(145,1),(153,1)}
       151:{1,4,6,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,6,7}:{(147,1),(148,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2832 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2833 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(28,1),(58,1),(117,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(32,1),(105,1)}
         2:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(37,1),(74,1),(107,1),(108,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(49,1),(58,1),(88,1)}
         4:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(91,1),(93,1)}
         5:{2,4,5,6}:{(2,1),(10,1),(11,1),(51,1),(90,1)}
         6:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(33,1),(45,1),(66,1),(81,1),(101,1),(106,1),(107,1)}
         7:{3,4,5,6,7}:{(14,1),(104,1),(108,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(77,1)}
         9:{1,3,4,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(74,1),(75,1)}
        10:{2,4,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        11:{2,3,5,6}:{(5,1),(13,1),(17,1),(18,1),(68,1),(103,1)}
        12:{1,2,4,5,7}:{(6,1),(10,1),(21,1),(22,1),(50,1),(89,1),(91,1)}
        13:{1,3,5,6}:{(6,1),(11,1),(20,1),(22,1),(23,1),(60,1),(83,1),(96,1),(112,1)}
        14:{2,4,5,6,7}:{(7,1),(8,1),(24,1),(88,1),(94,1)}
        15:{1,3,5,6,7}:{(8,1),(9,1),(24,1),(25,1),(55,1),(92,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(90,1)}
        17:{2,3,5,7}:{(10,1),(11,1),(22,1),(26,1),(27,1)}
        18:{2,3,4,6}:{(11,1),(23,1),(27,1),(28,1)}
        19:{1,2,3,5,6}:{(20,1),(29,1),(30,1),(60,1),(96,1),(97,1)}
        20:{2,3,5,6}:{(13,1),(32,1),(33,1),(68,1),(103,1),(106,1)}
        21:{1,2,4,6,7}:{(12,1),(16,1),(34,1),(35,1),(70,1),(72,1),(81,1),(101,1)}
        22:{1,3,5,7}:{(12,1),(13,1),(17,1),(32,1),(35,1),(36,1)}
        23:{1,3,4,6}:{(13,1),(18,1),(33,1),(36,1),(37,1)}
        24:{1,4,5,6,7}:{(14,1),(15,1),(38,1),(72,1),(107,1)}
        25:{2,5,6,7}:{(15,1),(16,1),(106,1)}
        26:{2,3,6,7}:{(16,1),(17,1),(35,1),(103,1)}
        27:{2,3,4,7}:{(17,1),(18,1),(36,1)}
        28:{2,3,4,5}:{(18,1),(37,1),(68,1)}
        29:{1,2,3,5,7}:{(19,1),(32,1),(43,1),(44,1),(79,1),(80,1)}
        30:{1,2,4,6}:{(19,1),(33,1),(42,1),(44,1),(45,1)}
        31:{1,2,3,5,6}:{(20,1),(46,1),(47,1),(83,1),(112,1),(113,1)}
        32:{2,3,5,7}:{(20,1),(22,1),(49,1),(50,1),(89,1)}
        33:{2,4,6}:{(20,1),(23,1),(50,1),(51,1)}
        34:{1,2,5,6,7}:{(21,1),(25,1),(52,1),(89,1),(97,1),(113,1)}
        35:{1,3,6,7}:{(21,1),(22,1),(26,1),(49,1),(96,1),(112,1)}
        36:{1,3,4,7}:{(22,1),(23,1),(27,1),(50,1)}
        37:{1,3,4,5}:{(23,1),(28,1),(51,1),(60,1),(83,1)}
        38:{2,4,5,6,7}:{(24,1),(25,1),(55,1),(56,1),(117,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(52,1),(55,1),(56,1),(57,1),(115,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(53,1),(56,1),(57,1),(58,1)}
        41:{2,3,4,5,7}:{(27,1),(28,1),(54,1),(57,1),(58,1),(87,1),(114,1)}
        42:{1,3,4,6}:{(30,1),(48,1),(59,1),(60,1),(96,1)}
        43:{1,2,3,6,7}:{(29,1),(49,1),(61,1),(96,1)}
        44:{1,2,4,7}:{(29,1),(30,1),(50,1),(59,1)}
        45:{1,2,4,5}:{(30,1),(51,1),(60,1)}
        46:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(65,1),(99,1),(100,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(63,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(33,1),(42,1),(63,1),(67,1),(68,1),(103,1)}
        49:{2,3,6,7}:{(32,1),(35,1),(70,1),(103,1)}
        50:{2,4,7}:{(32,1),(33,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(68,1)}
        52:{1,3,5,6,7}:{(34,1),(35,1),(39,1),(69,1),(72,1),(73,1),(110,1),(120,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(70,1),(72,1),(73,1),(74,1),(104,1)}
        54:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(71,1),(73,1),(74,1),(79,1),(99,1),(109,1),(119,1),(121,1)}
        55:{3,5,6,7}:{(38,1),(75,1),(123,1)}
        56:{2,4,6,7}:{(39,1),(72,1),(75,1),(76,1),(122,1)}
        57:{2,3,5,7}:{(40,1),(73,1),(76,1),(77,1)}
        58:{2,3,4,6}:{(41,1),(74,1),(77,1),(103,1),(122,1)}
        59:{1,3,4,7}:{(42,1),(44,1),(67,1),(79,1)}
        60:{1,3,5}:{(42,1),(45,1),(68,1)}
        61:{1,2,4,6,7}:{(43,1),(44,1),(70,1),(78,1),(80,1),(81,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(71,1),(79,1),(80,1),(81,1),(109,1)}
        63:{1,3,4,6}:{(47,1),(48,1),(82,1),(83,1),(112,1)}
        64:{1,2,3,6,7}:{(46,1),(49,1),(84,1),(112,1)}
        65:{1,2,4,7}:{(46,1),(47,1),(50,1),(82,1)}
        66:{1,2,4,5}:{(47,1),(51,1),(83,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(59,1),(82,1),(87,1)}
        68:{2,3,5}:{(48,1),(51,1),(60,1),(83,1)}
        69:{2,3,5,6,7}:{(49,1),(52,1),(88,1),(89,1),(115,1),(116,1)}
        70:{2,4,6,7}:{(49,1),(50,1),(53,1),(89,1),(90,1)}
        71:{2,4,5,7}:{(50,1),(51,1),(54,1),(87,1),(89,1),(90,1)}
        72:{1,4,6,7}:{(52,1),(56,1),(88,1),(91,1),(118,1),(124,1)}
        73:{1,3,5,7}:{(53,1),(57,1),(89,1),(91,1),(92,1),(116,1)}
        74:{1,3,4,6}:{(54,1),(58,1),(90,1),(92,1),(96,1),(112,1),(118,1),(124,1),(125,1)}
        75:{3,4,6,7}:{(55,1),(56,1),(93,1),(125,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(91,1),(93,1),(94,1)}
        77:{2,3,5,6}:{(57,1),(58,1),(92,1),(94,1)}
        78:{1,3,4,6,7}:{(59,1),(61,1),(86,1),(95,1),(96,1),(118,1)}
        79:{1,3,5,7}:{(59,1),(60,1),(62,1),(87,1),(96,1)}
        80:{1,2,5,7}:{(61,1),(89,1),(95,1),(97,1)}
        81:{1,2,4,6}:{(62,1),(90,1),(96,1),(97,1),(118,1)}
        82:{1,3,4,7}:{(63,1),(65,1),(67,1),(99,1)}
        83:{1,3,5}:{(63,1),(66,1),(68,1)}
        84:{1,2,4,6,7}:{(64,1),(65,1),(70,1),(98,1),(100,1),(101,1)}
        85:{1,2,4,5,7}:{(65,1),(66,1),(71,1),(99,1),(100,1),(101,1),(119,1)}
        86:{2,3,4,6,7}:{(67,1),(70,1),(78,1),(98,1),(102,1),(103,1),(104,1),(122,1)}
        87:{2,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(99,1),(103,1)}
        88:{2,4,6,7}:{(69,1),(72,1),(104,1),(105,1),(122,1)}
        89:{2,5,7}:{(70,1),(73,1),(106,1)}
        90:{2,4,6}:{(71,1),(74,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(76,1),(105,1),(107,1)}
        92:{1,3,5,6}:{(73,1),(74,1),(77,1),(106,1),(107,1),(123,1)}
        93:{3,4,5,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(76,1),(77,1),(107,1),(108,1),(122,1)}
        95:{1,3,5,7}:{(78,1),(80,1),(102,1),(109,1),(110,1)}
        96:{1,3,6}:{(79,1),(81,1),(103,1)}
        97:{1,2,5,6}:{(80,1),(81,1),(106,1),(110,1)}
        98:{1,3,4,6,7}:{(82,1),(84,1),(86,1),(111,1),(112,1),(124,1)}
        99:{1,3,5,7}:{(82,1),(83,1),(85,1),(87,1),(112,1)}
       100:{1,2,5,7}:{(84,1),(89,1),(111,1),(113,1)}
       101:{1,2,4,6}:{(85,1),(90,1),(112,1),(113,1),(124,1)}
       102:{2,3,5,7}:{(86,1),(89,1),(95,1),(111,1),(114,1),(115,1),(116,1)}
       103:{2,3,6}:{(87,1),(90,1),(96,1),(112,1)}
       104:{3,4,6,7}:{(88,1),(116,1),(125,1)}
       105:{2,4,5,7}:{(88,1),(89,1),(91,1),(116,1),(117,1)}
       106:{2,5,6}:{(89,1),(90,1),(92,1)}
       107:{1,4,5,6}:{(91,1),(92,1),(94,1),(117,1),(118,1),(124,1)}
       108:{3,4,5,6}:{(93,1),(94,1),(125,1)}
       109:{1,4,5,7}:{(95,1),(114,1),(118,1)}
       110:{1,3,5,6}:{(95,1),(96,1),(97,1),(115,1),(118,1)}
       111:{1,3,5,7}:{(98,1),(100,1),(102,1),(119,1),(120,1)}
       112:{1,3,6}:{(99,1),(101,1),(103,1)}
       113:{1,2,5,6}:{(100,1),(101,1),(106,1),(120,1)}
       114:{2,4,5,7}:{(102,1),(109,1),(119,1),(121,1),(122,1)}
       115:{2,3,5,6}:{(102,1),(103,1),(106,1),(110,1),(120,1),(122,1),(123,1)}
       116:{3,5,7}:{(104,1),(105,1),(123,1)}
       117:{2,4,5,6}:{(105,1),(106,1),(107,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(122,1)}
       119:{1,4,5,7}:{(111,1),(114,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(115,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{2,4,6}:{(114,1),(115,1),(118,1),(124,1),(125,1)}
       123:{3,5,6}:{(116,1),(117,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(122,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2834 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2835 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2836 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(24,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(81,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(35,1),(40,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         7:{2,3,4,5}:{(10,1),(15,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(71,1),(76,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(91,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(21,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(56,1)}
        13:{1,2,3,5,7}:{(5,1),(24,1),(26,1),(52,1),(56,1)}
        14:{1,2,3,6}:{(6,1),(25,1)}
        15:{2,3,4,6}:{(7,1),(21,1),(27,1),(28,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(28,1),(29,1),(59,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(33,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(15,1),(33,1),(35,1),(36,1)}
        22:{1,3,4,5,7}:{(10,1),(12,1),(16,1),(34,1),(36,1),(37,1),(70,1)}
        23:{1,2,4,5,6}:{(11,1),(17,1),(35,1),(38,1),(40,1),(64,1),(71,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(36,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(37,1),(40,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(39,1),(69,1)}
        27:{2,3,5,6}:{(15,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,7}:{(15,1),(36,1),(42,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,6}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(80,1)}
        35:{1,3,5,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,7}:{(21,1),(24,1),(28,1),(49,1),(52,1)}
        37:{1,3,4,6}:{(22,1),(25,1),(29,1),(50,1),(54,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(53,1),(56,1)}
        40:{1,2,5,6}:{(25,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(60,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(52,1),(58,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(53,1),(58,1),(59,1),(86,1)}
        44:{2,3,5,6}:{(29,1),(54,1),(59,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(33,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,7}:{(33,1),(36,1),(65,1)}
        50:{2,3,4,6}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(71,1),(92,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(69,1),(70,1),(94,1)}
        54:{1,3,5,6}:{(37,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(70,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(75,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,3,5,7}:{(43,1),(44,1),(70,1),(75,1)}
        60:{2,4,5,6}:{(44,1),(71,1),(75,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(49,1),(52,1),(78,1),(79,1)}
        66:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(79,1),(80,1),(98,1)}
        67:{2,3,5,6}:{(50,1),(54,1),(80,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,3,5,7}:{(53,1),(54,1),(56,1),(59,1),(80,1),(84,1)}
        71:{1,4,5,6}:{(54,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(61,1),(83,1),(86,1),(88,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        76:{3,4,5,6}:{(60,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,3,5,7}:{(66,1),(67,1),(70,1),(91,1)}
        81:{2,4,5,6}:{(67,1),(71,1),(91,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(75,1),(91,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(75,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(80,1),(83,1),(97,1),(98,1),(104,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(81,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2837 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2838 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2839 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2840 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(63,1),(70,1),(100,1),(145,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(145,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(45,1),(93,1),(124,1),(162,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(162,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(98,1),(113,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(28,1),(61,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(28,1),(30,1),(147,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(28,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(106,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(74,1),(89,1),(137,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(128,1),(130,1),(157,1),(166,1)}
        28:{2,4,5,7}:{(17,1),(18,1),(19,1),(44,1)}
        29:{1,2,4,5,6}:{(18,1),(43,1),(45,1),(88,1),(93,1),(132,1),(139,1),(166,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(163,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(44,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(130,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(113,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(53,1),(96,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(53,1),(55,1),(115,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(106,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(105,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(69,1),(111,1),(116,1)}
        44:{2,3,5,7}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(61,1),(63,1),(64,1),(153,1),(172,1)}
        46:{2,3,4,6}:{(30,1),(62,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(62,1),(67,1),(68,1),(113,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(152,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(106,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(137,1)}
        53:{2,4,5,7}:{(37,1),(38,1),(71,1),(73,1)}
        54:{1,2,4,5,6}:{(38,1),(72,1),(74,1),(123,1),(132,1),(164,1),(166,1),(173,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(138,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(130,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(130,1),(139,1),(164,1),(166,1),(173,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(86,1)}
        62:{2,3,4,7}:{(44,1),(46,1),(86,1)}
        63:{2,3,5,6}:{(45,1),(85,1),(88,1),(138,1),(139,1),(167,1)}
        64:{1,3,4,6}:{(45,1),(46,1),(86,1),(88,1),(89,1)}
        65:{2,3,4,5}:{(46,1),(89,1),(163,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(86,1),(90,1),(91,1),(137,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(130,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(53,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(96,1),(143,1),(148,1),(168,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(95,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(96,1),(98,1),(99,1),(153,1),(172,1)}
        75:{2,3,4,6}:{(55,1),(97,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(106,1)}
        79:{1,3,4,5,7}:{(59,1),(105,1),(106,1)}
        80:{1,2,3,5,6}:{(63,1),(98,1),(104,1),(107,1),(153,1),(154,1),(172,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(152,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(105,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(106,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(63,1),(66,1),(111,1),(116,1)}
        86:{1,3,4,7}:{(61,1),(62,1),(64,1),(111,1)}
        87:{2,3,4,5,7}:{(62,1),(65,1),(68,1),(105,1),(112,1),(113,1),(170,1)}
        88:{2,4,6}:{(63,1),(64,1),(111,1),(115,1)}
        89:{1,3,4,5}:{(64,1),(65,1),(115,1),(153,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(111,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(113,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(152,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(73,1),(118,1),(167,1)}
        96:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(121,1)}
        97:{2,3,4,7}:{(73,1),(75,1),(121,1)}
        98:{2,3,5,6}:{(74,1),(120,1),(123,1),(163,1),(173,1),(174,1)}
        99:{1,3,4,6}:{(74,1),(75,1),(121,1),(123,1),(124,1)}
       100:{2,3,4,5}:{(75,1),(124,1),(138,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(130,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(80,1),(81,1),(85,1),(120,1),(128,1),(133,1),(165,1)}
       105:{2,4,5,7}:{(79,1),(83,1),(129,1),(130,1)}
       106:{1,3,4,6}:{(79,1),(84,1),(130,1)}
       107:{1,2,4,6}:{(80,1),(88,1),(123,1),(128,1),(131,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(128,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(129,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(130,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,4,7}:{(85,1),(86,1),(88,1)}
       112:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(91,1),(129,1),(136,1),(137,1),(165,1)}
       113:{2,3,4,6}:{(87,1),(92,1),(130,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(88,1),(131,1),(135,1),(138,1),(167,1)}
       115:{2,4,5}:{(88,1),(89,1),(138,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(137,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(96,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(97,1),(102,1),(141,1),(142,1),(145,1)}
       120:{2,3,5,7}:{(96,1),(98,1),(140,1),(143,1),(168,1)}
       121:{1,3,4,7}:{(96,1),(97,1),(99,1),(143,1)}
       122:{2,3,4,5,7}:{(97,1),(100,1),(105,1),(142,1),(144,1),(145,1),(155,1)}
       123:{2,4,6}:{(98,1),(99,1),(143,1),(147,1)}
       124:{1,3,4,5}:{(99,1),(100,1),(147,1),(153,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(152,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(106,1),(149,1),(169,1)}
       128:{1,2,4,7}:{(104,1),(107,1),(111,1),(143,1),(150,1)}
       129:{1,4,5,7}:{(105,1),(109,1),(152,1)}
       130:{2,4,6}:{(105,1),(106,1),(110,1),(152,1)}
       131:{1,3,4,6}:{(107,1),(114,1),(146,1),(150,1),(153,1),(172,1)}
       132:{1,2,4,5}:{(107,1),(115,1),(147,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(152,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(114,1),(150,1),(155,1)}
       136:{2,4,5,7}:{(111,1),(112,1),(115,1),(116,1),(155,1),(156,1)}
       137:{1,3,4,6}:{(112,1),(113,1),(117,1),(152,1),(156,1),(172,1)}
       138:{2,3,5}:{(114,1),(115,1),(153,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(121,1),(125,1),(157,1),(158,1),(162,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,4,7}:{(120,1),(121,1),(123,1)}
       144:{1,3,4,5,7}:{(121,1),(122,1),(124,1),(129,1),(158,1),(161,1),(162,1),(165,1)}
       145:{2,3,4,6}:{(122,1),(130,1),(159,1),(162,1),(167,1)}
       146:{2,3,4,6}:{(123,1),(131,1),(160,1),(163,1),(174,1)}
       147:{2,4,5}:{(123,1),(124,1),(163,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(130,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(131,1),(135,1),(160,1),(165,1)}
       151:{1,2,4,5,7}:{(128,1),(129,1),(132,1),(133,1),(136,1),(161,1),(165,1),(166,1)}
       152:{1,4,6}:{(129,1),(130,1),(134,1)}
       153:{1,3,5}:{(131,1),(132,1),(138,1),(163,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(138,1),(165,1),(167,1)}
       156:{2,4,6}:{(136,1),(137,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(143,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(145,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(146,1),(150,1),(170,1)}
       161:{2,4,5,7}:{(143,1),(144,1),(147,1),(168,1),(170,1),(171,1)}
       162:{1,3,4,6}:{(144,1),(145,1),(152,1),(169,1),(171,1),(172,1)}
       163:{2,3,5}:{(146,1),(147,1),(153,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(152,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(153,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(151,1),(152,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(162,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(163,1),(165,1),(174,1)}
       171:{2,4,6}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2841 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(46,1),(48,1),(80,1),(85,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(31,1),(67,1),(99,1),(105,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(70,1),(94,1),(100,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(85,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(44,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(19,1),(21,1),(87,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(105,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(13,1),(25,1),(30,1)}
        20:{1,2,4,5,6}:{(13,1),(29,1),(31,1),(66,1),(72,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(106,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(51,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(44,1),(79,1),(83,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(21,1),(40,1),(44,1),(45,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(44,1),(46,1),(47,1),(91,1),(117,1),(120,1),(135,1)}
        32:{2,3,4,6}:{(21,1),(45,1),(47,1),(48,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(46,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(70,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(64,1)}
        45:{2,3,4,7}:{(30,1),(32,1),(64,1)}
        46:{2,3,5,6}:{(31,1),(63,1),(66,1),(106,1),(124,1),(129,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(64,1),(66,1),(67,1)}
        48:{2,3,4,5}:{(32,1),(67,1),(106,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(63,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(66,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(85,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(90,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(51,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(46,1),(81,1),(82,1),(117,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(46,1),(75,1),(83,1),(111,1)}
        64:{1,3,4,7}:{(44,1),(45,1),(47,1),(83,1)}
        65:{2,3,4,5,7}:{(45,1),(48,1),(50,1),(77,1),(84,1),(85,1),(118,1),(132,1)}
        66:{2,4,6}:{(46,1),(47,1),(83,1),(87,1)}
        67:{1,3,4,5}:{(47,1),(48,1),(87,1),(91,1),(117,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(83,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(86,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(87,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(64,1),(94,1),(95,1),(105,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(70,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(100,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(66,1),(100,1),(101,1),(102,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1)}
        84:{1,3,4,5,7}:{(64,1),(65,1),(67,1),(69,1),(95,1),(104,1),(105,1),(107,1),(127,1),(136,1)}
        85:{2,3,4,6}:{(65,1),(70,1),(96,1),(105,1),(129,1),(138,1)}
        86:{2,3,4,6}:{(66,1),(71,1),(101,1),(103,1),(106,1),(129,1)}
        87:{2,4,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(103,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(104,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(106,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(83,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(85,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(90,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(83,1),(115,1)}
       101:{1,3,4,6}:{(82,1),(86,1),(115,1),(117,1),(135,1)}
       102:{1,2,4,5}:{(82,1),(87,1),(117,1)}
       103:{2,3,4,7}:{(83,1),(86,1),(88,1),(115,1),(118,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(87,1),(111,1),(118,1),(119,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(90,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       106:{2,3,5}:{(86,1),(87,1),(91,1),(117,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(105,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(104,1),(122,1),(127,1),(128,1),(136,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(106,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(104,1),(105,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2842 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2843 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2844 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(30,1),(94,1),(103,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(44,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(103,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(80,1),(120,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(82,1),(138,1),(142,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(63,1),(105,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(103,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(120,1),(142,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(29,1),(36,1),(58,1),(68,1),(98,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(105,1),(135,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(100,1),(130,1),(134,1)}
        29:{1,2,3,5,7}:{(19,1),(20,1),(42,1),(43,1),(117,1)}
        30:{1,2,3,4,6}:{(41,1),(44,1),(74,1),(81,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(142,1)}
        41:{1,2,3,4,7}:{(30,1),(56,1),(103,1)}
        42:{1,2,4,5,7}:{(29,1),(31,1),(57,1),(58,1),(68,1)}
        43:{1,2,3,5,6}:{(29,1),(58,1),(97,1)}
        44:{1,2,3,5}:{(30,1),(61,1)}
        45:{2,3,4,5,6}:{(33,1),(64,1),(65,1),(104,1),(128,1)}
        46:{1,3,4,5}:{(31,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(130,1),(135,1)}
        56:{1,2,3,5,7}:{(41,1),(44,1),(73,1),(74,1)}
        57:{1,3,4,5,7}:{(42,1),(46,1),(75,1),(76,1),(88,1),(117,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(76,1)}
        59:{1,2,3,5,6,7}:{(43,1),(48,1),(78,1),(91,1),(117,1),(124,1),(140,1)}
        60:{1,3,4,5,6,7}:{(51,1),(79,1),(115,1),(141,1)}
        61:{1,2,4,5}:{(44,1),(80,1),(81,1)}
        62:{1,2,3,5,6}:{(44,1),(74,1),(81,1),(82,1),(111,1),(119,1)}
        63:{2,3,4,5}:{(46,1),(80,1),(83,1)}
        64:{1,3,4,5,6}:{(45,1),(49,1),(84,1),(85,1),(87,1),(119,1),(136,1)}
        65:{2,3,4,5,7}:{(45,1),(50,1),(85,1),(86,1),(122,1),(139,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(83,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(84,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(61,1),(92,1),(93,1),(103,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{2,3,4,5,7}:{(57,1),(63,1),(92,1),(95,1),(105,1),(129,1)}
        76:{1,3,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,4,5,6}:{(58,1),(97,1),(99,1),(128,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(98,1),(99,1),(145,1)}
        79:{2,4,5,6,7}:{(60,1),(70,1),(96,1),(100,1),(130,1),(145,1)}
        80:{1,3,4,5}:{(61,1),(63,1),(101,1)}
        81:{1,2,4,6}:{(61,1),(62,1),(101,1),(103,1)}
        82:{1,2,3,5,7}:{(62,1),(94,1),(103,1),(127,1),(133,1)}
        83:{2,3,4,6}:{(63,1),(66,1),(101,1),(104,1),(105,1)}
        84:{2,4,5,6}:{(64,1),(104,1),(106,1)}
        85:{1,3,4,5,7}:{(64,1),(65,1),(69,1),(106,1),(107,1),(108,1),(133,1),(143,1)}
        86:{2,3,4,6,7}:{(65,1),(70,1),(96,1),(107,1),(135,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(104,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(105,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(106,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(130,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(80,1),(110,1),(120,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(82,1),(112,1),(142,1)}
        95:{2,3,4,6}:{(75,1),(76,1),(110,1),(113,1)}
        96:{2,3,5,6,7}:{(79,1),(86,1),(115,1)}
        97:{1,3,5,6}:{(76,1),(77,1),(113,1),(117,1)}
        98:{1,3,4,6,7}:{(76,1),(78,1),(88,1),(114,1),(117,1),(124,1)}
        99:{1,2,4,5,7}:{(77,1),(78,1),(117,1),(139,1)}
       100:{1,4,5,6,7}:{(79,1),(90,1),(115,1),(146,1)}
       101:{1,3,4,6}:{(80,1),(81,1),(83,1),(119,1),(120,1)}
       102:{1,2,4,5,6}:{(81,1),(84,1),(111,1),(119,1),(121,1),(136,1)}
       103:{1,2,4,7}:{(81,1),(82,1),(120,1)}
       104:{2,3,5,6}:{(83,1),(84,1),(87,1),(119,1),(122,1)}
       105:{2,3,4,7}:{(83,1),(88,1),(120,1),(122,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(85,1),(86,1),(90,1),(115,1),(123,1),(124,1),(142,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(122,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(123,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(95,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(103,1),(126,1),(127,1)}
       113:{2,3,5,6}:{(95,1),(97,1),(125,1),(128,1),(129,1)}
       114:{2,3,4,6,7}:{(95,1),(98,1),(105,1),(126,1),(129,1),(135,1),(145,1)}
       115:{1,3,5,6,7}:{(96,1),(100,1),(107,1),(130,1)}
       116:{1,3,4,5,6}:{(97,1),(128,1),(131,1)}
       117:{1,3,5,7}:{(97,1),(98,1),(99,1),(129,1)}
       118:{1,2,4,5,6,7}:{(99,1),(100,1),(109,1),(130,1),(132,1),(145,1)}
       119:{1,3,5,6}:{(101,1),(102,1),(104,1),(133,1)}
       120:{1,3,4,7}:{(101,1),(103,1),(105,1),(133,1)}
       121:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(127,1),(133,1),(134,1),(143,1)}
       122:{2,3,5,7}:{(104,1),(105,1),(106,1),(108,1),(133,1),(135,1)}
       123:{2,4,6,7}:{(106,1),(107,1),(130,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(135,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(113,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(120,1),(137,1),(142,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{2,4,5,6}:{(113,1),(116,1),(136,1),(139,1)}
       129:{2,3,5,7}:{(113,1),(114,1),(117,1),(137,1),(139,1)}
       130:{2,5,6,7}:{(115,1),(123,1)}
       131:{1,3,4,5,7}:{(116,1),(117,1),(139,1),(141,1)}
       132:{1,3,5,6,7}:{(117,1),(118,1),(124,1),(140,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(122,1),(142,1)}
       134:{1,2,4,6,7}:{(121,1),(123,1),(138,1),(142,1),(146,1)}
       135:{2,3,6,7}:{(122,1),(123,1),(124,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(128,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(129,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(130,1),(134,1),(144,1)}
       139:{2,4,5,7}:{(128,1),(129,1),(131,1),(143,1),(145,1)}
       140:{2,3,5,6,7}:{(129,1),(130,1),(132,1),(135,1),(144,1),(145,1)}
       141:{1,3,4,6,7}:{(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(135,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(139,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(142,1),(146,1)}
       145:{2,4,6,7}:{(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2845 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2846 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(44,1),(112,1),(113,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(58,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(74,1),(113,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(89,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(95,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(117,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(48,1),(113,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(104,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(48,1),(81,1),(108,1),(114,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(88,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(53,1),(55,1),(88,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(48,1),(116,1),(117,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(70,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(63,1),(103,1),(104,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(79,1),(138,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(48,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(50,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(48,1),(50,1)}
        37:{1,2,3,4,6,7}:{(27,1),(51,1),(56,1),(86,1),(88,1),(120,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(48,1),(52,1),(114,1),(116,1)}
        39:{1,2,3,5}:{(27,1),(53,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(55,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(50,1),(55,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(55,1),(56,1),(88,1)}
        44:{1,2,3,4,6}:{(57,1),(58,1),(93,1),(94,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(60,1),(61,1),(65,1),(90,1),(142,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(59,1),(61,1),(100,1),(145,1)}
        47:{1,3,4,5,6,7}:{(34,1),(62,1),(96,1),(132,1)}
        48:{2,4,6,7}:{(34,1),(36,1),(38,1),(63,1)}
        49:{1,2,4,5,6}:{(35,1),(40,1),(60,1),(65,1),(66,1),(70,1)}
        50:{1,4,5,7}:{(35,1),(36,1),(41,1),(63,1)}
        51:{1,2,3,5,7}:{(37,1),(39,1),(67,1),(68,1),(133,1)}
        52:{1,3,5,6,7}:{(38,1),(41,1),(63,1),(69,1),(103,1)}
        53:{1,2,4,5}:{(39,1),(64,1),(70,1)}
        54:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        56:{1,2,3,6,7}:{(42,1),(43,1),(71,1),(103,1)}
        57:{1,2,3,4,7}:{(44,1),(73,1),(113,1)}
        58:{1,2,3,5}:{(44,1),(74,1)}
        59:{2,3,4,6,7}:{(46,1),(48,1),(76,1),(77,1),(116,1),(139,1)}
        60:{2,4,5,6}:{(45,1),(79,1),(80,1)}
        61:{1,3,4,5,7}:{(45,1),(46,1),(50,1),(77,1),(80,1),(85,1),(110,1),(146,1)}
        62:{2,4,5,6,7}:{(47,1),(48,1),(76,1),(81,1),(114,1),(139,1)}
        63:{1,4,6,7}:{(48,1),(50,1),(52,1)}
        64:{1,3,4,5}:{(53,1),(78,1),(84,1)}
        65:{1,3,5,6}:{(49,1),(79,1),(84,1),(85,1)}
        66:{1,2,4,5,7}:{(49,1),(50,1),(55,1),(80,1),(83,1),(85,1),(88,1)}
        67:{1,2,4,5,7}:{(51,1),(53,1),(82,1),(86,1),(88,1)}
        68:{1,2,3,5,6}:{(51,1),(86,1),(119,1)}
        69:{1,2,5,6,7}:{(52,1),(55,1),(83,1),(114,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(84,1),(88,1)}
        71:{1,2,3,5,7}:{(54,1),(55,1),(56,1),(85,1),(88,1)}
        72:{1,2,4,5,6}:{(60,1),(90,1),(91,1),(94,1),(126,1),(142,1)}
        73:{1,2,3,5,7}:{(57,1),(58,1),(92,1),(93,1)}
        74:{1,2,4,5}:{(58,1),(89,1),(94,1)}
        75:{1,2,3,5,6}:{(58,1),(90,1),(93,1),(94,1),(95,1),(126,1)}
        76:{2,3,5,6,7}:{(59,1),(62,1),(96,1)}
        77:{1,3,4,6,7}:{(59,1),(61,1),(63,1),(96,1),(98,1),(103,1),(124,1),(143,1)}
        78:{2,3,4,5}:{(64,1),(89,1),(99,1)}
        79:{2,3,5,6}:{(60,1),(65,1),(90,1),(99,1),(100,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(62,1),(63,1),(96,1),(143,1)}
        82:{1,3,4,5,7}:{(64,1),(67,1),(97,1),(102,1),(104,1),(133,1)}
        83:{1,2,4,6,7}:{(63,1),(66,1),(69,1),(98,1),(103,1)}
        84:{1,3,4,6}:{(64,1),(65,1),(70,1),(99,1),(104,1)}
        85:{1,3,5,7}:{(65,1),(66,1),(100,1),(103,1),(104,1)}
        86:{1,2,4,6}:{(67,1),(68,1),(102,1)}
        87:{1,2,3,5,6,7}:{(68,1),(69,1),(71,1),(103,1),(106,1),(128,1),(133,1)}
        88:{1,2,4,7}:{(70,1),(71,1),(104,1)}
        89:{1,3,4,5}:{(74,1),(78,1),(109,1)}
        90:{1,3,5,6}:{(72,1),(79,1),(109,1),(110,1)}
        91:{1,2,4,5,7}:{(72,1),(80,1),(108,1),(110,1),(113,1),(137,1),(146,1)}
        92:{1,2,4,5,7}:{(73,1),(74,1),(107,1),(111,1),(113,1),(137,1)}
        93:{1,2,3,6}:{(73,1),(111,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(109,1),(113,1)}
        95:{1,2,3,5,7}:{(75,1),(110,1),(112,1),(113,1),(137,1)}
        96:{1,3,5,6,7}:{(76,1),(77,1),(81,1),(114,1)}
        97:{2,3,4,5,7}:{(78,1),(82,1),(107,1),(115,1),(117,1),(140,1)}
        98:{2,4,6,7}:{(77,1),(80,1),(114,1),(116,1)}
        99:{2,3,4,6}:{(78,1),(79,1),(84,1),(109,1),(117,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(117,1)}
       101:{1,2,4,5,6,7}:{(81,1),(83,1),(114,1),(118,1),(121,1),(139,1)}
       102:{1,3,4,6}:{(82,1),(86,1),(115,1),(119,1)}
       103:{1,3,6,7}:{(83,1),(85,1),(116,1)}
       104:{1,3,4,7}:{(84,1),(85,1),(88,1),(117,1)}
       105:{1,2,4,5,6}:{(86,1),(119,1),(121,1),(138,1)}
       106:{1,2,4,6,7}:{(86,1),(87,1),(88,1),(120,1),(121,1),(139,1)}
       107:{1,3,4,5,7}:{(89,1),(92,1),(97,1),(123,1),(125,1),(144,1)}
       108:{1,2,4,6,7}:{(91,1),(98,1),(122,1),(124,1),(143,1)}
       109:{1,3,4,6}:{(89,1),(90,1),(94,1),(99,1),(125,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(100,1),(124,1),(125,1)}
       111:{1,2,4,6}:{(92,1),(93,1),(123,1),(126,1)}
       112:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(127,1)}
       113:{1,2,4,7}:{(94,1),(95,1),(125,1)}
       114:{2,5,6,7}:{(96,1),(98,1)}
       115:{2,3,4,6}:{(97,1),(102,1),(123,1),(129,1)}
       116:{2,3,6,7}:{(98,1),(100,1),(103,1),(124,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(104,1),(125,1)}
       118:{1,3,5,6,7}:{(101,1),(103,1),(128,1),(132,1),(133,1)}
       119:{1,3,5,6}:{(102,1),(105,1),(129,1),(133,1)}
       120:{1,3,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(130,1),(133,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(133,1),(145,1)}
       122:{1,2,5,6,7}:{(108,1),(114,1),(134,1),(137,1)}
       123:{1,3,4,6}:{(107,1),(111,1),(115,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(110,1),(116,1)}
       125:{1,3,4,7}:{(109,1),(110,1),(113,1),(117,1)}
       126:{1,2,5,6}:{(111,1),(135,1),(137,1)}
       127:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(136,1),(137,1)}
       128:{2,3,5,6,7}:{(114,1),(116,1),(118,1),(134,1),(139,1),(140,1)}
       129:{2,3,5,6}:{(115,1),(119,1),(135,1),(138,1),(140,1)}
       130:{2,3,4,6,7}:{(115,1),(116,1),(117,1),(120,1),(136,1),(139,1),(140,1)}
       131:{1,3,4,5,6}:{(119,1),(138,1),(141,1)}
       132:{1,3,4,6,7}:{(118,1),(139,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(140,1)}
       134:{1,3,5,6,7}:{(122,1),(124,1),(128,1),(143,1),(144,1)}
       135:{1,3,5,6}:{(123,1),(126,1),(129,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(130,1),(143,1),(144,1)}
       137:{1,2,5,7}:{(126,1),(127,1),(144,1)}
       138:{2,4,5,6}:{(129,1),(131,1),(142,1),(145,1)}
       139:{2,4,6,7}:{(128,1),(132,1),(143,1),(145,1)}
       140:{2,3,5,7}:{(129,1),(130,1),(133,1),(144,1),(145,1)}
       141:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(145,1)}
       142:{1,4,5,6}:{(135,1),(138,1),(146,1)}
       143:{1,4,6,7}:{(134,1),(139,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(146,1)}
       145:{2,4,5,7}:{(138,1),(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,5,7}:{(142,1),(143,1),(144,1),(145,1)}

2847 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(57,1),(97,1)}
         5:{1,2,4,5}:{(2,1),(11,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(81,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(20,1),(24,1),(53,1),(76,1),(115,1)}
        10:{1,2,3,6}:{(4,1),(20,1)}
        11:{1,3,4,5}:{(5,1),(18,1),(22,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(22,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(21,1),(24,1),(53,1),(55,1)}
        14:{1,2,3,4,6}:{(7,1),(25,1),(27,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(28,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(11,1),(28,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(11,1),(31,1),(33,1),(37,1),(72,1),(95,1),(129,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(34,1)}
        21:{1,2,3,6,7}:{(10,1),(13,1),(35,1),(75,1),(97,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(32,1),(36,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(69,1),(71,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(37,1)}
        25:{1,2,3,5}:{(14,1),(40,1)}
        26:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(42,1),(43,1),(47,1),(81,1),(84,1)}
        27:{1,2,3,6}:{(15,1),(43,1)}
        28:{1,3,4,5}:{(16,1),(18,1),(45,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(45,1),(46,1),(47,1)}
        30:{1,2,3,7}:{(17,1),(47,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(42,1),(48,1),(50,1),(78,1),(89,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(48,1),(51,1)}
        34:{1,2,5,6}:{(20,1),(51,1),(53,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(115,1),(141,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(49,1),(55,1)}
        37:{1,3,4,7}:{(22,1),(24,1),(50,1),(55,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(55,1),(56,1),(90,1),(92,1)}
        39:{1,2,3,4}:{(57,1)}
        40:{1,2,4,5}:{(25,1),(58,1),(59,1)}
        41:{1,2,3,5,6}:{(25,1),(27,1),(59,1),(60,1),(62,1),(99,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(58,1),(61,1),(65,1),(100,1),(103,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(27,1),(30,1),(60,1),(63,1),(134,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(32,1),(64,1),(65,1)}
        46:{1,2,5,6}:{(29,1),(64,1),(66,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(61,1),(67,1)}
        49:{2,3,5,6}:{(32,1),(36,1),(64,1),(69,1),(70,1)}
        50:{2,3,4,7}:{(32,1),(37,1),(65,1),(70,1)}
        51:{1,3,5,6}:{(33,1),(34,1),(67,1),(71,1),(72,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(68,1),(72,1),(75,1),(111,1),(129,1),(148,1)}
        53:{1,2,5,7}:{(34,1),(35,1),(72,1)}
        54:{1,3,4,5,6}:{(36,1),(69,1),(71,1),(74,1),(107,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(38,1),(70,1),(75,1)}
        56:{1,2,4,6,7}:{(38,1),(73,1),(75,1),(110,1),(111,1)}
        57:{1,2,3,5}:{(39,1),(76,1),(77,1)}
        58:{1,3,4,5}:{(40,1),(78,1),(79,1)}
        59:{1,2,4,6}:{(40,1),(41,1),(79,1),(81,1)}
        60:{1,2,3,5,7}:{(41,1),(44,1),(81,1),(84,1),(119,1)}
        61:{1,3,4,6}:{(42,1),(43,1),(48,1),(82,1)}
        62:{1,2,5,6}:{(43,1),(82,1),(84,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(83,1),(84,1),(87,1)}
        64:{1,3,5,6}:{(45,1),(46,1),(49,1),(85,1),(86,1)}
        65:{1,3,4,7}:{(45,1),(47,1),(50,1),(86,1)}
        66:{1,2,5,7}:{(46,1),(47,1),(86,1),(87,1)}
        67:{2,3,5,6}:{(48,1),(51,1),(82,1),(88,1),(89,1)}
        68:{2,3,4,6,7}:{(48,1),(50,1),(52,1),(83,1),(89,1),(91,1),(117,1),(125,1),(143,1)}
        69:{2,4,5,6}:{(49,1),(54,1),(85,1),(90,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(55,1),(86,1),(90,1),(91,1)}
        71:{1,4,5,6}:{(51,1),(88,1),(92,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(53,1),(89,1),(92,1)}
        73:{1,2,5,6,7}:{(53,1),(56,1),(93,1),(126,1),(141,1)}
        74:{1,3,4,5,7}:{(54,1),(55,1),(90,1),(92,1),(94,1),(124,1)}
        75:{1,3,6,7}:{(55,1),(56,1),(91,1)}
        76:{1,2,4,5}:{(57,1),(95,1),(96,1)}
        77:{1,2,3,6}:{(57,1),(96,1),(97,1)}
        78:{2,3,4,5}:{(58,1),(95,1),(98,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(98,1),(99,1),(100,1)}
        80:{1,2,4,5,6}:{(59,1),(62,1),(99,1),(101,1),(102,1),(131,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(100,1)}
        82:{1,3,5,6}:{(61,1),(62,1),(67,1),(102,1),(103,1)}
        83:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(68,1),(100,1),(103,1),(106,1),(134,1),(135,1)}
        84:{1,2,5,7}:{(62,1),(63,1),(103,1)}
        85:{1,4,5,6}:{(64,1),(69,1),(105,1)}
        86:{1,3,5,7}:{(64,1),(65,1),(66,1),(70,1),(105,1),(106,1)}
        87:{1,2,6,7}:{(66,1),(106,1)}
        88:{2,4,5,6}:{(67,1),(71,1),(102,1),(107,1),(108,1)}
        89:{2,3,5,7}:{(67,1),(68,1),(72,1),(103,1),(108,1)}
        90:{2,4,5,7}:{(69,1),(70,1),(74,1),(105,1),(110,1)}
        91:{2,3,6,7}:{(70,1),(75,1),(106,1),(110,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(108,1),(111,1)}
        93:{1,3,5,6,7}:{(72,1),(73,1),(75,1),(109,1),(111,1),(148,1),(153,1)}
        94:{1,3,4,6,7}:{(74,1),(75,1),(110,1),(111,1),(112,1),(137,1)}
        95:{1,3,4,5}:{(76,1),(78,1),(113,1)}
        96:{1,2,4,6}:{(76,1),(77,1),(113,1),(114,1),(115,1)}
        97:{1,2,3,7}:{(77,1),(115,1)}
        98:{2,3,4,6}:{(78,1),(79,1),(113,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(79,1),(80,1),(116,1),(119,1)}
       100:{1,3,4,7}:{(79,1),(81,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(84,1),(119,1),(120,1),(121,1),(142,1)}
       102:{1,4,5,6}:{(82,1),(88,1),(121,1)}
       103:{1,3,5,7}:{(82,1),(83,1),(84,1),(89,1),(121,1)}
       104:{1,2,5,6,7}:{(84,1),(87,1),(120,1),(122,1),(152,1)}
       105:{1,4,5,7}:{(85,1),(86,1),(90,1),(123,1)}
       106:{1,3,6,7}:{(86,1),(87,1),(91,1),(123,1)}
       107:{3,4,5,6}:{(88,1),(124,1)}
       108:{2,4,5,7}:{(88,1),(89,1),(92,1),(121,1),(124,1),(125,1)}
       109:{2,3,5,6,7}:{(89,1),(91,1),(93,1),(122,1),(125,1),(126,1),(143,1),(146,1),(152,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(94,1),(123,1),(126,1)}
       111:{1,4,6,7}:{(92,1),(93,1),(125,1)}
       112:{1,3,5,6,7}:{(94,1),(126,1),(127,1),(146,1)}
       113:{1,3,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1)}
       114:{1,2,5,6}:{(96,1),(128,1),(130,1)}
       115:{1,2,4,7}:{(96,1),(97,1),(129,1),(130,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(128,1),(131,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{1,3,4,5,6}:{(99,1),(102,1),(107,1),(131,1),(133,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1)}
       120:{1,2,4,6,7}:{(101,1),(104,1),(134,1),(135,1),(149,1)}
       121:{1,4,5,7}:{(102,1),(103,1),(108,1),(135,1)}
       122:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(109,1),(134,1),(135,1),(136,1)}
       123:{1,4,6,7}:{(105,1),(106,1),(110,1),(136,1)}
       124:{3,4,5,7}:{(107,1),(108,1),(137,1)}
       125:{2,4,6,7}:{(108,1),(109,1),(111,1),(135,1),(137,1)}
       126:{2,5,6,7}:{(110,1),(112,1),(136,1)}
       127:{1,4,5,6,7}:{(111,1),(112,1),(138,1),(153,1)}
       128:{1,3,5,6}:{(113,1),(114,1),(116,1),(139,1),(140,1)}
       129:{1,3,4,7}:{(113,1),(115,1),(117,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(140,1),(141,1)}
       131:{2,4,5,6}:{(116,1),(118,1),(139,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(119,1),(140,1),(142,1),(143,1)}
       133:{1,3,4,5,7}:{(118,1),(119,1),(121,1),(124,1),(142,1),(144,1)}
       134:{1,3,6,7}:{(119,1),(120,1),(143,1)}
       135:{1,4,6,7}:{(121,1),(122,1),(125,1)}
       136:{1,5,6,7}:{(123,1),(126,1)}
       137:{3,4,6,7}:{(124,1),(125,1),(146,1)}
       138:{2,4,5,6,7}:{(125,1),(126,1),(127,1),(145,1),(146,1),(152,1)}
       139:{1,4,5,6}:{(128,1),(131,1),(147,1)}
       140:{1,3,5,7}:{(128,1),(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{1,2,6,7}:{(130,1),(148,1)}
       142:{2,4,5,7}:{(131,1),(132,1),(133,1),(147,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(134,1),(148,1),(149,1)}
       144:{1,3,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(149,1),(150,1)}
       145:{1,4,5,6,7}:{(135,1),(136,1),(138,1),(150,1)}
       146:{3,5,6,7}:{(137,1),(138,1)}
       147:{1,4,5,7}:{(139,1),(140,1),(142,1),(151,1)}
       148:{1,3,6,7}:{(140,1),(141,1),(143,1),(151,1)}
       149:{2,4,6,7}:{(142,1),(143,1),(144,1),(151,1),(152,1)}
       150:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(152,1)}
       151:{1,4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{2,5,6,7}:{(149,1),(150,1),(153,1)}
       153:{1,5,6,7}:{(151,1),(152,1)}

2848 :   0:{1,2,3,4,7}:{(1,1),(2,1),(26,1),(38,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(21,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(42,1),(84,1)}
         3:{1,2,3,4,7}:{(7,1),(8,1),(9,1),(66,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(12,1),(13,1),(38,1),(41,1),(61,1),(105,1)}
         6:{1,2,3,6}:{(2,1),(13,1)}
         7:{1,2,3,4,6}:{(3,1),(15,1),(17,1),(44,1)}
         8:{1,2,3,5,7}:{(3,1),(15,1),(16,1),(17,1),(19,1),(53,1)}
         9:{1,2,3,4}:{(19,1)}
        10:{1,2,4,5}:{(4,1),(20,1),(21,1)}
        11:{1,2,3,5,6}:{(4,1),(6,1),(21,1),(22,1),(24,1),(55,1)}
        12:{1,3,4,5,7}:{(5,1),(18,1),(20,1),(23,1),(56,1),(59,1),(82,1),(123,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(23,1),(24,1)}
        14:{1,2,3,6,7}:{(6,1),(22,1),(25,1),(84,1),(101,1)}
        15:{1,2,3,5}:{(7,1),(27,1)}
        16:{1,2,4,5,7}:{(8,1),(27,1),(29,1),(30,1),(33,1),(66,1),(69,1),(74,1)}
        17:{1,2,3,6}:{(8,1),(30,1)}
        18:{2,3,4,5,7}:{(12,1),(29,1),(32,1),(35,1),(63,1),(71,1),(76,1),(107,1)}
        19:{1,2,3,5}:{(9,1),(33,1),(34,1)}
        20:{1,3,4,5}:{(10,1),(35,1),(36,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(36,1),(38,1)}
        22:{1,2,3,5,7}:{(11,1),(14,1),(38,1),(41,1),(78,1)}
        23:{1,3,4,6}:{(12,1),(13,1),(32,1),(39,1)}
        24:{1,2,5,6}:{(13,1),(39,1),(41,1)}
        25:{1,2,4,6,7}:{(13,1),(14,1),(38,1),(40,1),(41,1),(105,1),(138,1)}
        26:{1,2,3,4}:{(42,1)}
        27:{1,2,4,5}:{(15,1),(43,1),(44,1)}
        28:{1,2,3,5,6}:{(15,1),(17,1),(44,1),(45,1),(47,1),(86,1)}
        29:{1,3,4,5,7}:{(16,1),(18,1),(43,1),(46,1),(51,1),(87,1),(90,1),(96,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,2,3,6,7}:{(17,1),(45,1),(48,1),(53,1),(128,1)}
        32:{2,3,4,6}:{(18,1),(23,1),(46,1),(49,1)}
        33:{1,2,4,5}:{(19,1),(51,1),(52,1)}
        34:{1,2,3,6}:{(19,1),(52,1),(53,1)}
        35:{2,3,4,5}:{(20,1),(51,1),(54,1)}
        36:{1,3,4,6}:{(20,1),(21,1),(54,1),(55,1),(56,1)}
        37:{1,2,4,5,6}:{(21,1),(24,1),(55,1),(57,1),(58,1),(98,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(49,1),(58,1),(59,1)}
        40:{1,3,4,6,7}:{(23,1),(25,1),(50,1),(56,1),(59,1),(101,1),(102,1),(123,1),(147,1)}
        41:{1,2,5,7}:{(24,1),(25,1),(59,1)}
        42:{1,2,3,5}:{(26,1),(61,1),(62,1)}
        43:{1,3,4,5}:{(27,1),(63,1),(64,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(64,1),(66,1)}
        45:{1,2,3,5,7}:{(28,1),(31,1),(66,1),(69,1),(109,1)}
        46:{1,3,4,6}:{(29,1),(30,1),(32,1),(67,1)}
        47:{1,2,5,6}:{(30,1),(67,1),(69,1)}
        48:{1,2,4,6,7}:{(30,1),(31,1),(66,1),(68,1),(69,1),(74,1),(117,1)}
        49:{2,3,5,6}:{(32,1),(39,1),(67,1),(70,1),(71,1)}
        50:{2,3,4,6,7}:{(32,1),(40,1),(68,1),(71,1),(76,1),(107,1),(114,1),(119,1),(140,1)}
        51:{1,3,4,5}:{(33,1),(35,1),(72,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(72,1),(73,1),(74,1)}
        53:{1,2,3,7}:{(34,1),(74,1)}
        54:{2,3,4,6}:{(35,1),(36,1),(72,1),(75,1),(76,1)}
        55:{1,3,5,6}:{(36,1),(37,1),(75,1),(78,1)}
        56:{1,3,4,7}:{(36,1),(38,1),(76,1),(78,1)}
        57:{1,2,4,5,7}:{(37,1),(38,1),(41,1),(78,1),(79,1),(80,1),(118,1)}
        58:{1,4,5,6}:{(39,1),(70,1),(80,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(41,1),(71,1),(80,1)}
        60:{1,2,5,6,7}:{(41,1),(79,1),(81,1),(138,1),(145,1)}
        61:{1,2,4,5}:{(42,1),(82,1),(83,1)}
        62:{1,2,3,6}:{(42,1),(83,1),(84,1)}
        63:{2,3,4,5}:{(43,1),(82,1),(85,1)}
        64:{1,3,4,6}:{(43,1),(44,1),(85,1),(86,1),(87,1)}
        65:{1,2,4,5,6}:{(44,1),(47,1),(86,1),(88,1),(89,1),(125,1)}
        66:{1,2,4,7}:{(44,1),(45,1),(87,1)}
        67:{1,3,5,6}:{(46,1),(47,1),(49,1),(89,1),(90,1)}
        68:{1,3,4,6,7}:{(46,1),(48,1),(50,1),(87,1),(90,1),(96,1),(128,1),(129,1),(133,1)}
        69:{1,2,5,7}:{(47,1),(48,1),(90,1)}
        70:{2,4,5,6}:{(49,1),(58,1),(89,1),(92,1),(93,1)}
        71:{2,3,5,7}:{(49,1),(50,1),(59,1),(90,1),(93,1)}
        72:{1,3,4,6}:{(51,1),(52,1),(54,1),(95,1),(96,1)}
        73:{1,2,5,6}:{(52,1),(95,1),(97,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(96,1),(97,1)}
        75:{2,3,5,6}:{(54,1),(55,1),(95,1),(98,1),(99,1)}
        76:{2,3,4,7}:{(54,1),(56,1),(96,1),(99,1)}
        77:{1,3,4,5,6}:{(55,1),(58,1),(92,1),(98,1),(100,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(57,1),(99,1),(101,1)}
        79:{1,2,4,6,7}:{(57,1),(60,1),(101,1),(102,1),(134,1)}
        80:{1,4,5,7}:{(58,1),(59,1),(93,1),(102,1)}
        81:{1,3,5,6,7}:{(59,1),(60,1),(94,1),(101,1),(102,1),(147,1),(153,1)}
        82:{1,3,4,5}:{(61,1),(63,1),(103,1)}
        83:{1,2,4,6}:{(61,1),(62,1),(103,1),(104,1),(105,1)}
        84:{1,2,3,7}:{(62,1),(105,1)}
        85:{2,3,4,6}:{(63,1),(64,1),(103,1),(106,1),(107,1)}
        86:{1,3,5,6}:{(64,1),(65,1),(106,1),(109,1)}
        87:{1,3,4,7}:{(64,1),(66,1),(107,1),(109,1)}
        88:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(109,1),(110,1),(111,1),(139,1)}
        89:{1,4,5,6}:{(67,1),(70,1),(111,1)}
        90:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(111,1)}
        91:{1,2,5,6,7}:{(69,1),(110,1),(112,1),(117,1),(152,1)}
        92:{3,4,5,6}:{(70,1),(113,1)}
        93:{2,4,5,7}:{(70,1),(71,1),(80,1),(111,1),(113,1),(114,1)}
        94:{2,3,5,6,7}:{(71,1),(81,1),(112,1),(114,1),(119,1),(140,1),(143,1),(145,1),(152,1)}
        95:{1,3,5,6}:{(72,1),(73,1),(75,1),(115,1),(116,1)}
        96:{1,3,4,7}:{(72,1),(74,1),(76,1),(116,1)}
        97:{1,2,5,7}:{(73,1),(74,1),(116,1),(117,1)}
        98:{2,4,5,6}:{(75,1),(77,1),(115,1),(118,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(78,1),(116,1),(118,1),(119,1)}
       100:{1,3,4,5,7}:{(77,1),(78,1),(80,1),(113,1),(118,1),(120,1)}
       101:{1,3,6,7}:{(78,1),(79,1),(119,1)}
       102:{1,4,6,7}:{(80,1),(81,1),(114,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(85,1),(122,1),(123,1)}
       104:{1,2,5,6}:{(83,1),(122,1),(124,1)}
       105:{1,2,4,7}:{(83,1),(84,1),(123,1),(124,1)}
       106:{2,3,5,6}:{(85,1),(86,1),(122,1),(125,1),(126,1)}
       107:{2,3,4,7}:{(85,1),(87,1),(123,1),(126,1)}
       108:{1,3,4,5,6}:{(86,1),(89,1),(92,1),(125,1),(127,1)}
       109:{1,3,5,7}:{(86,1),(87,1),(88,1),(126,1),(128,1)}
       110:{1,2,4,6,7}:{(88,1),(91,1),(128,1),(129,1),(148,1)}
       111:{1,4,5,7}:{(89,1),(90,1),(93,1),(129,1)}
       112:{1,3,5,6,7}:{(90,1),(91,1),(94,1),(128,1),(129,1),(133,1),(150,1)}
       113:{3,4,5,7}:{(92,1),(93,1),(130,1)}
       114:{2,4,6,7}:{(93,1),(94,1),(102,1),(129,1),(130,1)}
       115:{1,4,5,6}:{(95,1),(98,1),(132,1)}
       116:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(132,1),(133,1)}
       117:{1,2,6,7}:{(97,1),(133,1)}
       118:{2,4,5,7}:{(98,1),(99,1),(100,1),(132,1),(134,1)}
       119:{2,3,6,7}:{(99,1),(101,1),(133,1),(134,1)}
       120:{1,3,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(134,1),(135,1)}
       121:{1,4,5,6,7}:{(102,1),(131,1),(135,1),(153,1)}
       122:{1,3,5,6}:{(103,1),(104,1),(106,1),(136,1),(137,1)}
       123:{1,3,4,7}:{(103,1),(105,1),(107,1),(137,1)}
       124:{1,2,5,7}:{(104,1),(105,1),(137,1),(138,1)}
       125:{2,4,5,6}:{(106,1),(108,1),(136,1),(139,1)}
       126:{2,3,5,7}:{(106,1),(107,1),(109,1),(137,1),(139,1),(140,1)}
       127:{1,3,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(139,1),(141,1)}
       128:{1,3,6,7}:{(109,1),(110,1),(140,1)}
       129:{1,4,6,7}:{(111,1),(112,1),(114,1)}
       130:{3,4,6,7}:{(113,1),(114,1),(143,1)}
       131:{2,4,5,6,7}:{(114,1),(121,1),(142,1),(143,1),(145,1),(152,1)}
       132:{1,4,5,7}:{(115,1),(116,1),(118,1),(144,1)}
       133:{1,3,6,7}:{(116,1),(117,1),(119,1),(144,1)}
       134:{2,4,6,7}:{(118,1),(119,1),(120,1),(144,1),(145,1)}
       135:{1,3,5,6,7}:{(120,1),(121,1),(143,1),(145,1)}
       136:{1,4,5,6}:{(122,1),(125,1),(146,1)}
       137:{1,3,5,7}:{(122,1),(123,1),(124,1),(126,1),(146,1),(147,1)}
       138:{1,2,6,7}:{(124,1),(147,1)}
       139:{2,4,5,7}:{(125,1),(126,1),(127,1),(146,1),(148,1)}
       140:{2,3,6,7}:{(126,1),(128,1),(147,1),(148,1)}
       141:{1,3,4,6,7}:{(127,1),(128,1),(129,1),(130,1),(148,1),(149,1)}
       142:{1,4,5,6,7}:{(129,1),(131,1),(149,1),(150,1)}
       143:{3,5,6,7}:{(130,1),(131,1)}
       144:{1,4,6,7}:{(132,1),(133,1),(134,1),(150,1)}
       145:{2,5,6,7}:{(134,1),(135,1),(150,1)}
       146:{1,4,5,7}:{(136,1),(137,1),(139,1),(151,1)}
       147:{1,3,6,7}:{(137,1),(138,1),(140,1),(151,1)}
       148:{2,4,6,7}:{(139,1),(140,1),(141,1),(151,1),(152,1)}
       149:{1,3,5,6,7}:{(141,1),(142,1),(143,1),(152,1)}
       150:{1,5,6,7}:{(144,1),(145,1)}
       151:{1,4,6,7}:{(146,1),(147,1),(148,1),(153,1)}
       152:{2,5,6,7}:{(148,1),(149,1),(153,1)}
       153:{1,5,6,7}:{(151,1),(152,1)}

2849 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2850 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2851 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2852 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1),(27,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(20,1),(35,1),(39,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(45,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(13,1),(28,1),(31,1),(44,1)}
        4:{1,3,4,5,7}:{(2,1),(7,1),(8,1),(20,1),(38,1),(54,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(8,1),(10,1),(53,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(20,1),(23,1),(52,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(26,1),(45,1)}
        8:{2,4,5,7}:{(4,1),(5,1),(12,1),(13,1),(14,1),(28,1),(47,1),(61,1)}
        9:{2,3,4,6,7}:{(5,1),(13,1),(15,1),(24,1),(31,1),(47,1),(57,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(14,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,4,5,6}:{(7,1),(8,1),(18,1),(19,1),(34,1),(53,1)}
       13:{2,3,5,7}:{(8,1),(9,1),(18,1),(20,1),(64,1)}
       14:{1,4,5,7}:{(8,1),(10,1),(19,1),(20,1),(55,1),(66,1)}
       15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(23,1),(32,1),(38,1),(39,1),(55,1),(63,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(21,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(13,1),(24,1),(25,1),(47,1),(58,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(13,1),(24,1),(26,1)}
       19:{1,4,5,6}:{(12,1),(14,1),(26,1),(60,1)}
       20:{1,3,5,7}:{(13,1),(14,1),(15,1),(26,1),(28,1),(68,1)}
       21:{1,2,4,5,7}:{(14,1),(16,1),(27,1),(28,1),(29,1),(47,1)}
       22:{2,4,6,7}:{(15,1),(28,1),(31,1),(40,1),(47,1),(67,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(56,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(53,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(20,1),(32,1),(33,1),(38,1),(50,1),(54,1),(55,1),(66,1)}
       26:{1,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(34,1)}
       27:{1,2,4,5,6}:{(19,1),(21,1),(34,1),(35,1),(48,1),(53,1),(66,1),(69,1)}
       28:{2,5,7}:{(20,1),(22,1),(34,1),(69,1)}
       29:{1,3,5,7}:{(21,1),(23,1),(35,1),(37,1),(38,1)}
       30:{1,2,4,6,7}:{(22,1),(36,1),(39,1),(48,1),(55,1)}
       31:{2,3,6,7}:{(22,1),(23,1),(37,1),(39,1),(49,1),(62,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(26,1),(40,1),(56,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(40,1),(42,1),(47,1),(61,1)}
       34:{2,5,6}:{(26,1),(28,1),(40,1)}
       35:{1,3,5,6}:{(27,1),(29,1),(44,1),(45,1),(56,1),(68,1)}
       36:{1,2,5,7}:{(28,1),(30,1),(43,1),(46,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(46,1),(47,1)}
       38:{1,3,4,7}:{(29,1),(45,1),(47,1)}
       39:{1,3,6,7}:{(30,1),(31,1),(46,1),(56,1)}
       40:{2,4,6}:{(32,1),(33,1),(34,1),(49,1)}
       41:{1,2,4,5,7}:{(33,1),(36,1),(48,1),(50,1),(55,1),(65,1),(66,1),(69,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(64,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{2,3,5,6}:{(34,1),(35,1),(37,1),(49,1),(52,1),(53,1),(62,1),(64,1),(69,1)}
       45:{1,3,4,6}:{(35,1),(38,1),(53,1),(54,1)}
       46:{1,3,5,7}:{(36,1),(37,1),(39,1),(52,1),(55,1)}
       47:{2,4,7}:{(37,1),(38,1),(53,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(56,1),(60,1),(67,1)}
       49:{2,3,6}:{(40,1),(42,1),(56,1)}
       50:{1,3,5,7}:{(41,1),(42,1),(56,1),(58,1),(59,1),(68,1)}
       51:{2,3,4,7}:{(42,1),(47,1),(57,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(46,1),(56,1),(60,1),(68,1)}
       53:{2,4,6}:{(44,1),(45,1),(47,1),(60,1),(61,1)}
       54:{1,3,4,5}:{(45,1),(61,1),(68,1)}
       55:{1,4,7}:{(46,1),(47,1),(60,1)}
       56:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       57:{2,3,4,6}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       58:{2,3,5,7}:{(50,1),(62,1),(65,1),(69,1)}
       59:{1,3,4,7}:{(50,1),(51,1),(55,1),(63,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(55,1),(66,1)}
       61:{2,4,5}:{(53,1),(54,1),(64,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(58,1),(67,1)}
       63:{1,3,4,6}:{(56,1),(57,1),(59,1),(60,1),(67,1),(68,1)}
       64:{2,3,5}:{(57,1),(61,1),(68,1)}
       65:{2,4,7}:{(58,1),(59,1),(67,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(65,1),(69,1)}
       68:{1,3,5}:{(63,1),(64,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2853 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(134,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(25,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(34,1),(161,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(39,1),(47,1),(107,1),(144,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(25,1),(42,1),(144,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(167,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(25,1),(46,1),(75,1),(79,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(35,1),(50,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(29,1),(62,1),(121,1),(156,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(31,1),(34,1),(156,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(171,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(31,1),(58,1),(97,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(19,1),(37,1),(46,1)}
        14:{2,4,5,6}:{(9,1),(19,1),(21,1),(137,1),(164,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(19,1),(23,1),(164,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(24,1),(75,1),(111,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(24,1),(25,1),(42,1),(44,1),(75,1),(113,1)}
        18:{1,3,4,6,7}:{(12,1),(25,1),(26,1),(115,1)}
        19:{2,4,5,7}:{(13,1),(14,1),(15,1),(28,1)}
        20:{1,2,4,5,6}:{(14,1),(27,1),(29,1),(53,1),(62,1),(83,1),(94,1),(120,1)}
        21:{2,3,5,6}:{(14,1),(28,1),(29,1),(30,1),(118,1),(153,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(27,1),(31,1),(34,1),(57,1),(120,1)}
        23:{2,3,6,7}:{(15,1),(28,1),(31,1),(153,1)}
        24:{1,3,5,6,7}:{(16,1),(17,1),(31,1),(34,1),(58,1),(130,1)}
        25:{2,4,6,7}:{(17,1),(18,1),(34,1),(35,1),(132,1)}
        26:{1,3,4,5,7}:{(18,1),(35,1),(36,1),(58,1)}
        27:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(46,1),(66,1),(75,1)}
        28:{2,3,5,7}:{(19,1),(21,1),(23,1),(37,1),(38,1)}
        29:{1,3,5,6}:{(20,1),(21,1),(37,1),(39,1),(40,1),(102,1),(140,1)}
        30:{2,3,4,6}:{(21,1),(38,1),(40,1),(41,1)}
        31:{1,3,6,7}:{(22,1),(23,1),(37,1),(42,1),(140,1)}
        32:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(43,1),(44,1),(68,1)}
        33:{1,2,3,5,6,7}:{(24,1),(42,1),(45,1),(64,1),(75,1),(78,1),(111,1),(113,1),(140,1),(148,1),(165,1),(174,1)}
        34:{1,4,6,7}:{(24,1),(25,1),(46,1),(147,1)}
        35:{2,4,5,7}:{(25,1),(26,1),(44,1),(46,1),(47,1),(75,1)}
        36:{1,3,4,5,6}:{(26,1),(47,1),(76,1),(115,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(31,1),(50,1),(51,1)}
        38:{2,3,4,7}:{(28,1),(30,1),(51,1)}
        39:{2,3,5,6}:{(29,1),(50,1),(53,1),(88,1),(94,1),(125,1)}
        40:{1,3,4,6}:{(29,1),(30,1),(51,1),(53,1),(54,1)}
        41:{2,3,4,5}:{(30,1),(54,1),(118,1)}
        42:{2,3,6,7}:{(31,1),(50,1),(57,1),(125,1)}
        43:{1,3,4,6,7}:{(31,1),(32,1),(34,1),(51,1),(57,1),(58,1),(86,1)}
        44:{2,3,5,7}:{(32,1),(35,1),(58,1),(59,1)}
        45:{1,2,4,6,7}:{(33,1),(34,1),(57,1),(60,1),(61,1),(81,1),(120,1),(132,1),(162,1),(172,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(58,1),(62,1)}
        47:{2,4,5,6}:{(35,1),(36,1),(59,1),(62,1),(94,1),(132,1)}
        48:{1,3,4,5,6,7}:{(36,1),(63,1),(95,1),(135,1)}
        49:{1,2,3,5,6}:{(39,1),(64,1),(65,1),(102,1),(111,1),(138,1),(140,1)}
        50:{2,3,5,7}:{(37,1),(39,1),(42,1),(66,1),(75,1)}
        51:{1,3,4,7}:{(37,1),(38,1),(40,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(41,1),(44,1),(67,1),(68,1),(112,1),(136,1)}
        53:{2,4,6}:{(39,1),(40,1),(66,1),(70,1)}
        54:{1,3,4,5}:{(40,1),(41,1),(70,1),(102,1)}
        55:{2,3,4,5,6}:{(41,1),(68,1),(71,1),(72,1),(138,1),(149,1)}
        56:{1,2,3,6,7}:{(42,1),(64,1),(73,1),(140,1),(165,1)}
        57:{2,4,6,7}:{(42,1),(43,1),(66,1),(75,1),(105,1)}
        58:{1,3,5,7}:{(43,1),(44,1),(46,1),(75,1),(76,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(68,1),(76,1)}
        60:{1,3,4,6,7}:{(45,1),(74,1),(78,1),(100,1),(115,1),(140,1)}
        61:{1,2,4,5,7}:{(45,1),(46,1),(75,1),(78,1),(79,1),(112,1),(170,1),(174,1)}
        62:{1,4,5,6}:{(46,1),(47,1),(76,1),(147,1)}
        63:{2,4,5,6,7}:{(47,1),(48,1),(77,1),(80,1),(114,1),(150,1)}
        64:{1,2,3,5,7}:{(49,1),(50,1),(56,1),(81,1),(92,1),(119,1),(155,1)}
        65:{1,2,4,6}:{(49,1),(53,1),(81,1),(82,1),(83,1),(154,1)}
        66:{2,4,7}:{(50,1),(51,1),(53,1)}
        67:{1,3,4,5,7}:{(51,1),(52,1),(54,1),(58,1),(85,1),(86,1),(119,1),(129,1)}
        68:{2,3,4,6}:{(52,1),(59,1),(86,1),(132,1),(153,1)}
        69:{2,3,4,6}:{(53,1),(82,1),(84,1),(88,1),(125,1)}
        70:{2,4,5}:{(53,1),(54,1),(88,1)}
        71:{1,3,4,5,6}:{(54,1),(55,1),(86,1),(89,1),(90,1),(122,1),(161,1)}
        72:{2,3,4,5,7}:{(55,1),(87,1),(90,1),(155,1),(163,1)}
        73:{1,2,4,6,7}:{(56,1),(57,1),(81,1),(91,1),(92,1),(120,1),(172,1)}
        74:{2,3,4,6,7}:{(57,1),(60,1),(84,1),(91,1),(93,1),(117,1),(125,1),(132,1),(153,1),(172,1)}
        75:{2,5,7}:{(57,1),(58,1),(94,1)}
        76:{1,3,5,6}:{(58,1),(59,1),(62,1),(86,1),(94,1)}
        77:{2,3,5,6,7}:{(59,1),(63,1),(87,1),(95,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(93,1),(97,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(94,1),(97,1),(120,1),(132,1),(161,1),(171,1)}
        80:{1,4,5,6,7}:{(62,1),(63,1),(95,1),(162,1)}
        81:{1,2,4,7}:{(64,1),(65,1),(66,1),(100,1),(166,1)}
        82:{1,3,4,6}:{(65,1),(69,1),(99,1),(100,1),(102,1),(140,1)}
        83:{1,2,4,5}:{(65,1),(70,1),(102,1),(137,1)}
        84:{2,3,4,7}:{(66,1),(69,1),(100,1),(104,1)}
        85:{2,4,5,7}:{(66,1),(67,1),(70,1),(75,1),(104,1),(105,1)}
        86:{1,3,4,6}:{(67,1),(68,1),(76,1),(105,1),(140,1),(147,1)}
        87:{2,3,4,6,7}:{(68,1),(72,1),(77,1),(106,1),(150,1),(165,1)}
        88:{2,3,5}:{(69,1),(70,1),(102,1)}
        89:{2,4,5,6}:{(70,1),(71,1),(105,1),(108,1),(109,1)}
        90:{1,3,4,5,7}:{(71,1),(72,1),(106,1),(109,1),(143,1),(170,1)}
        91:{1,3,4,6,7}:{(73,1),(74,1),(100,1),(110,1),(140,1),(147,1)}
        92:{1,2,5,7}:{(73,1),(75,1),(110,1),(111,1),(174,1)}
        93:{2,3,5,7}:{(74,1),(75,1),(78,1),(110,1),(112,1),(113,1),(174,1)}
        94:{2,5,6}:{(75,1),(76,1),(105,1)}
        95:{1,3,5,6,7}:{(76,1),(77,1),(80,1),(106,1),(114,1)}
        96:{1,3,4,5,7}:{(78,1),(112,1),(115,1)}
        97:{1,3,5,6}:{(78,1),(79,1),(113,1),(115,1),(140,1)}
        98:{1,2,4,5,6,7}:{(79,1),(80,1),(114,1),(116,1),(141,1),(150,1),(170,1),(174,1)}
        99:{2,3,4,6}:{(82,1),(117,1),(118,1),(153,1),(154,1)}
       100:{1,3,4,7}:{(81,1),(82,1),(84,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(81,1),(83,1),(85,1),(92,1),(119,1),(120,1),(129,1),(152,1)}
       102:{1,3,5}:{(82,1),(83,1),(88,1),(118,1)}
       103:{1,2,4,5,6}:{(83,1),(89,1),(120,1),(122,1),(123,1),(154,1),(161,1),(171,1)}
       104:{2,3,5,7}:{(84,1),(85,1),(88,1),(119,1),(125,1)}
       105:{2,4,6}:{(85,1),(86,1),(94,1),(125,1)}
       106:{1,3,4,6,7}:{(86,1),(87,1),(90,1),(95,1),(126,1),(157,1),(162,1)}
       107:{2,3,4,5}:{(88,1),(121,1),(127,1)}
       108:{2,3,5,6}:{(88,1),(89,1),(122,1),(125,1),(127,1),(128,1)}
       109:{2,4,5,7}:{(89,1),(90,1),(126,1),(128,1)}
       110:{1,3,5,7}:{(91,1),(92,1),(93,1),(129,1),(130,1)}
       111:{1,2,5,6}:{(92,1),(94,1),(120,1),(130,1),(171,1)}
       112:{2,4,5,7}:{(93,1),(96,1),(129,1),(132,1)}
       113:{2,3,5,6}:{(93,1),(94,1),(97,1),(125,1),(130,1),(132,1),(153,1),(171,1)}
       114:{2,5,6,7}:{(94,1),(95,1),(126,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(132,1)}
       116:{1,3,5,6,7}:{(97,1),(98,1),(133,1),(135,1),(157,1),(173,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(136,1),(166,1)}
       118:{2,3,5}:{(99,1),(102,1),(137,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(102,1),(104,1),(136,1),(140,1)}
       120:{1,2,4,6}:{(101,1),(105,1),(111,1),(140,1),(147,1),(164,1)}
       121:{1,3,4,5}:{(102,1),(107,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(102,1),(103,1),(108,1),(138,1),(140,1),(142,1),(143,1)}
       123:{1,2,4,5,7}:{(103,1),(109,1),(141,1),(143,1),(166,1),(170,1),(174,1)}
       124:{2,3,4,5,7}:{(104,1),(107,1),(112,1),(139,1),(144,1),(146,1),(169,1)}
       125:{2,3,6}:{(104,1),(105,1),(140,1)}
       126:{2,4,6,7}:{(105,1),(106,1),(109,1),(114,1),(145,1)}
       127:{2,3,4,6}:{(107,1),(108,1),(142,1),(146,1)}
       128:{2,3,5,7}:{(108,1),(109,1),(143,1),(145,1),(146,1)}
       129:{1,4,5,7}:{(110,1),(112,1),(147,1)}
       130:{1,3,5,6}:{(110,1),(111,1),(113,1),(140,1),(147,1)}
       131:{1,2,5,6,7}:{(111,1),(114,1),(141,1),(148,1),(174,1)}
       132:{2,4,6}:{(112,1),(113,1),(115,1),(147,1)}
       133:{2,3,5,6,7}:{(113,1),(114,1),(116,1),(145,1),(148,1),(150,1),(165,1),(169,1),(174,1)}
       134:{1,3,4,5,6}:{(115,1),(149,1),(151,1),(167,1)}
       135:{1,3,4,6,7}:{(115,1),(116,1),(150,1),(151,1)}
       136:{2,3,5,7}:{(117,1),(118,1),(119,1),(152,1),(153,1)}
       137:{2,4,5}:{(118,1),(121,1),(154,1)}
       138:{2,3,5,6}:{(118,1),(122,1),(153,1),(154,1),(155,1),(171,1)}
       139:{1,3,4,5,7}:{(119,1),(121,1),(124,1),(129,1),(152,1),(156,1),(158,1),(173,1)}
       140:{1,3,6}:{(119,1),(120,1),(125,1),(153,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(126,1),(131,1),(157,1),(162,1),(172,1)}
       142:{1,3,4,6}:{(121,1),(122,1),(127,1),(154,1),(158,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(128,1),(155,1),(157,1),(158,1)}
       144:{2,3,4,6}:{(124,1),(125,1),(132,1),(156,1),(159,1)}
       145:{2,3,6,7}:{(125,1),(126,1),(128,1),(157,1)}
       146:{2,3,4,7}:{(127,1),(128,1),(158,1)}
       147:{1,4,6}:{(129,1),(130,1),(132,1)}
       148:{1,3,5,6,7}:{(130,1),(131,1),(133,1),(157,1),(162,1),(173,1)}
       149:{2,4,5,6}:{(132,1),(134,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6,7}:{(132,1),(133,1),(135,1),(162,1),(163,1)}
       151:{1,3,4,5,7}:{(134,1),(135,1),(163,1),(173,1)}
       152:{2,4,5,7}:{(136,1),(137,1),(139,1),(164,1),(166,1),(174,1)}
       153:{2,3,6}:{(136,1),(140,1),(164,1)}
       154:{2,4,6}:{(137,1),(138,1),(142,1),(166,1)}
       155:{2,3,5,7}:{(138,1),(143,1),(165,1),(166,1),(174,1)}
       156:{1,3,4,6}:{(139,1),(140,1),(144,1),(147,1),(164,1),(167,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(143,1),(145,1),(165,1)}
       158:{1,3,4,7}:{(142,1),(143,1),(146,1),(166,1)}
       159:{2,3,5,6}:{(144,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6,7}:{(144,1),(145,1),(146,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,6}:{(147,1),(149,1),(167,1),(170,1)}
       162:{1,4,6,7}:{(147,1),(148,1),(150,1),(170,1)}
       163:{2,4,5,7}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6}:{(152,1),(153,1),(156,1),(171,1)}
       165:{2,3,6,7}:{(153,1),(155,1),(157,1),(172,1)}
       166:{2,4,7}:{(154,1),(155,1),(158,1)}
       167:{1,3,5,6}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6,7}:{(156,1),(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,7}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,6}:{(164,1),(167,1),(174,1)}
       172:{2,4,6,7}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,7}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,7}:{(171,1),(172,1),(173,1)}

2854 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2855 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(17,1),(84,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(9,1),(24,1),(104,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(120,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(33,1),(127,1)}
         4:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(24,1),(43,1),(102,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(8,1),(9,1),(139,1)}
         6:{1,2,4,5,6,7}:{(3,1),(9,1),(10,1),(21,1),(24,1),(38,1),(46,1),(78,1)}
         7:{2,3,4,5,7}:{(4,1),(12,1),(13,1),(34,1),(57,1)}
         8:{1,3,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(31,1),(33,1),(123,1)}
         9:{2,5,6,7}:{(5,1),(14,1),(154,1)}
        10:{1,3,5,6,7}:{(6,1),(16,1),(17,1),(31,1),(53,1),(61,1)}
        11:{1,2,3,5,6,7}:{(18,1),(23,1),(37,1),(43,1),(65,1),(70,1),(78,1),(110,1),(111,1),(147,1),(166,1),(167,1)}
        12:{2,3,4,5,6}:{(7,1),(19,1),(47,1),(72,1),(102,1),(149,1)}
        13:{1,3,4,5,7}:{(7,1),(8,1),(19,1),(20,1),(41,1),(46,1)}
        14:{2,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(142,1)}
        15:{1,2,5,6,7}:{(9,1),(21,1),(23,1),(78,1),(110,1)}
        16:{2,3,5,6,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(43,1),(45,1),(70,1),(78,1)}
        17:{1,3,4,6,7}:{(10,1),(24,1),(25,1),(67,1)}
        18:{1,2,4,6,7}:{(11,1),(26,1),(27,1),(33,1),(60,1),(85,1),(87,1),(130,1),(131,1),(157,1)}
        19:{1,3,4,5,6}:{(12,1),(13,1),(28,1),(55,1),(63,1),(123,1),(158,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(28,1),(30,1)}
        21:{1,2,4,6,7}:{(14,1),(15,1),(29,1),(31,1),(33,1),(60,1),(130,1)}
        22:{2,3,6,7}:{(14,1),(30,1),(31,1),(156,1)}
        23:{1,3,5,6,7}:{(15,1),(16,1),(31,1),(33,1),(61,1),(90,1)}
        24:{2,4,6,7}:{(16,1),(17,1),(33,1),(34,1),(87,1)}
        25:{1,3,4,5,7}:{(17,1),(34,1),(35,1),(61,1)}
        26:{1,3,4,6,7}:{(18,1),(36,1),(37,1),(67,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(66,1),(78,1),(146,1),(166,1)}
        28:{2,4,5,6}:{(19,1),(20,1),(40,1),(142,1),(164,1)}
        29:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(46,1),(75,1),(78,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(41,1),(42,1)}
        31:{1,3,6,7}:{(21,1),(22,1),(41,1),(43,1),(147,1)}
        32:{2,3,4,6,7}:{(22,1),(24,1),(42,1),(44,1),(45,1),(77,1)}
        33:{1,4,6,7}:{(23,1),(24,1),(46,1),(108,1)}
        34:{2,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1),(78,1)}
        35:{1,3,4,5,6}:{(25,1),(47,1),(67,1),(79,1)}
        36:{2,3,4,6,7}:{(26,1),(51,1),(52,1),(60,1),(87,1),(95,1),(121,1),(136,1),(156,1),(157,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(52,1),(53,1)}
        38:{1,2,4,5,6}:{(27,1),(53,1),(63,1),(87,1),(99,1),(127,1),(130,1),(154,1)}
        39:{1,2,4,5,6}:{(28,1),(29,1),(55,1),(63,1),(92,1),(99,1),(126,1),(130,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1),(56,1),(153,1),(156,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(55,1),(57,1),(58,1)}
        42:{2,3,4,7}:{(30,1),(56,1),(58,1)}
        43:{2,3,6,7}:{(31,1),(57,1),(60,1),(136,1)}
        44:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(58,1),(60,1),(61,1),(97,1)}
        45:{2,3,5,7}:{(32,1),(34,1),(61,1),(62,1)}
        46:{1,4,5,7}:{(33,1),(34,1),(61,1),(63,1)}
        47:{2,4,5,6}:{(34,1),(35,1),(62,1),(63,1),(87,1),(99,1)}
        48:{1,3,4,5,6,7}:{(35,1),(64,1),(88,1),(100,1)}
        49:{1,3,4,5,7}:{(37,1),(66,1),(67,1)}
        50:{1,2,3,6,7}:{(43,1),(65,1),(68,1),(147,1),(167,1)}
        51:{1,3,4,6,7}:{(36,1),(68,1),(69,1),(106,1),(108,1),(147,1)}
        52:{2,3,5,7}:{(36,1),(37,1),(66,1),(69,1),(70,1),(78,1),(166,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(67,1),(70,1),(147,1)}
        54:{1,2,4,5,6,7}:{(38,1),(71,1),(81,1),(109,1),(119,1),(146,1),(148,1),(166,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(41,1),(72,1),(73,1),(144,1),(147,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(73,1),(74,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(72,1),(75,1),(78,1)}
        58:{1,3,4,7}:{(41,1),(42,1),(73,1),(75,1)}
        59:{2,3,4,5,7}:{(42,1),(45,1),(66,1),(74,1),(76,1),(77,1),(141,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(75,1),(78,1),(117,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(46,1),(78,1),(79,1)}
        62:{2,3,5,6}:{(45,1),(47,1),(77,1),(79,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(79,1),(108,1)}
        64:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1),(109,1),(119,1)}
        65:{1,2,3,5,7}:{(50,1),(57,1),(83,1),(85,1),(89,1),(129,1),(172,1)}
        66:{2,4,5,7}:{(49,1),(52,1),(86,1),(87,1)}
        67:{1,3,4,6}:{(49,1),(53,1),(87,1)}
        68:{1,2,4,6,7}:{(50,1),(51,1),(60,1),(85,1),(89,1),(130,1),(157,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(86,1),(89,1),(90,1)}
        70:{2,3,5,6}:{(52,1),(53,1),(87,1),(90,1),(99,1),(136,1),(154,1),(156,1)}
        71:{1,3,5,6,7}:{(53,1),(54,1),(88,1),(91,1),(155,1),(161,1)}
        72:{2,3,5,6}:{(55,1),(57,1),(92,1),(99,1),(133,1),(136,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(58,1),(92,1),(93,1)}
        74:{2,3,4,5}:{(56,1),(93,1),(153,1)}
        75:{2,4,7}:{(57,1),(58,1),(92,1)}
        76:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(86,1),(93,1),(96,1),(97,1),(129,1)}
        77:{2,3,4,6}:{(59,1),(62,1),(87,1),(97,1),(156,1)}
        78:{2,5,7}:{(60,1),(61,1),(99,1)}
        79:{1,3,5,6}:{(61,1),(62,1),(63,1),(97,1),(99,1)}
        80:{2,3,5,6,7}:{(62,1),(64,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(63,1),(64,1),(100,1),(131,1)}
        82:{2,3,4,5,7}:{(66,1),(101,1),(102,1),(116,1),(140,1),(149,1),(170,1)}
        83:{1,2,3,5,6}:{(65,1),(72,1),(103,1),(110,1),(144,1),(147,1),(165,1)}
        84:{1,3,4,5,6}:{(67,1),(104,1),(105,1),(139,1)}
        85:{1,2,4,7}:{(65,1),(75,1),(103,1),(106,1),(174,1)}
        86:{1,4,5,7}:{(66,1),(69,1),(108,1)}
        87:{2,4,6}:{(66,1),(67,1),(70,1),(108,1)}
        88:{1,3,4,6,7}:{(67,1),(71,1),(105,1),(109,1)}
        89:{1,2,5,7}:{(68,1),(69,1),(78,1),(110,1),(166,1)}
        90:{1,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(147,1)}
        91:{2,3,5,6,7}:{(70,1),(71,1),(109,1),(111,1),(119,1),(140,1),(152,1),(166,1),(167,1)}
        92:{2,4,6}:{(72,1),(73,1),(75,1),(113,1)}
        93:{1,3,4,5}:{(73,1),(74,1),(113,1),(144,1)}
        94:{2,3,4,5,6}:{(74,1),(77,1),(104,1),(114,1),(115,1),(165,1)}
        95:{2,3,4,7}:{(75,1),(106,1),(112,1),(116,1)}
        96:{2,4,5,7}:{(75,1),(76,1),(78,1),(113,1),(116,1),(117,1)}
        97:{1,3,4,6}:{(76,1),(77,1),(79,1),(108,1),(117,1),(147,1)}
        98:{2,3,4,6,7}:{(77,1),(80,1),(109,1),(115,1),(118,1),(167,1)}
        99:{2,5,6}:{(78,1),(79,1),(117,1)}
       100:{1,3,5,6,7}:{(79,1),(80,1),(81,1),(118,1),(119,1)}
       101:{1,3,4,5,7}:{(82,1),(86,1),(122,1),(123,1),(129,1),(155,1),(158,1),(173,1)}
       102:{2,3,4,6}:{(82,1),(87,1),(120,1),(123,1),(136,1)}
       103:{1,2,4,6}:{(83,1),(85,1),(92,1),(125,1),(126,1),(171,1)}
       104:{2,4,5,6}:{(84,1),(87,1),(120,1),(127,1),(128,1),(154,1)}
       105:{1,3,4,5,7}:{(84,1),(88,1),(128,1),(155,1)}
       106:{1,3,4,7}:{(85,1),(95,1),(121,1),(125,1),(129,1)}
       107:{1,2,4,5,7}:{(85,1),(86,1),(89,1),(96,1),(122,1),(126,1),(129,1),(130,1)}
       108:{1,4,6}:{(86,1),(87,1),(90,1)}
       109:{2,4,6,7}:{(87,1),(88,1),(91,1),(128,1),(131,1)}
       110:{1,2,5,6}:{(89,1),(90,1),(99,1),(130,1),(154,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(131,1),(132,1),(155,1),(161,1)}
       112:{2,3,4,6}:{(92,1),(95,1),(125,1),(133,1),(136,1)}
       113:{2,4,5}:{(92,1),(93,1),(133,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(97,1),(127,1),(134,1),(135,1),(159,1)}
       115:{2,3,4,5,7}:{(94,1),(98,1),(128,1),(135,1),(172,1)}
       116:{2,3,5,7}:{(95,1),(96,1),(129,1),(133,1),(136,1)}
       117:{2,4,6}:{(96,1),(97,1),(99,1),(136,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(131,1),(135,1),(137,1),(161,1)}
       119:{2,5,6,7}:{(99,1),(100,1),(137,1)}
       120:{2,3,5,6}:{(102,1),(104,1),(139,1),(140,1)}
       121:{2,3,4,7}:{(106,1),(138,1),(141,1),(174,1)}
       122:{2,4,5,7}:{(101,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       123:{1,3,4,6}:{(101,1),(102,1),(108,1),(139,1),(142,1),(147,1)}
       124:{2,3,4,6,7}:{(102,1),(109,1),(140,1),(143,1),(152,1),(170,1)}
       125:{1,3,4,6}:{(103,1),(106,1),(112,1),(138,1),(144,1),(147,1)}
       126:{1,2,4,5}:{(103,1),(113,1),(144,1),(164,1)}
       127:{1,4,5,6}:{(104,1),(108,1),(139,1),(146,1)}
       128:{2,4,5,7}:{(104,1),(105,1),(109,1),(140,1),(146,1),(166,1)}
       129:{1,3,5,7}:{(106,1),(107,1),(116,1),(141,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(107,1),(108,1),(110,1),(117,1),(142,1),(147,1)}
       131:{1,4,6,7}:{(108,1),(109,1),(111,1),(146,1)}
       132:{1,2,5,6,7}:{(110,1),(111,1),(119,1),(148,1),(166,1)}
       133:{2,3,5}:{(112,1),(113,1),(144,1)}
       134:{2,4,5,6}:{(113,1),(114,1),(117,1),(150,1),(151,1)}
       135:{1,3,4,5,7}:{(114,1),(115,1),(118,1),(146,1),(151,1),(169,1)}
       136:{2,3,6}:{(116,1),(117,1),(147,1)}
       137:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(152,1)}
       138:{2,3,4,6}:{(121,1),(125,1),(153,1),(156,1),(171,1)}
       139:{1,3,5,6}:{(120,1),(123,1),(127,1),(154,1),(155,1)}
       140:{2,3,5,7}:{(120,1),(124,1),(128,1),(155,1)}
       141:{2,3,5,7}:{(121,1),(122,1),(129,1),(153,1),(156,1)}
       142:{2,4,6}:{(122,1),(123,1),(154,1),(156,1)}
       143:{1,3,4,6,7}:{(123,1),(124,1),(131,1),(155,1),(157,1),(161,1),(173,1)}
       144:{1,3,5}:{(125,1),(126,1),(133,1),(153,1)}
       145:{1,2,4,5,6}:{(126,1),(127,1),(130,1),(134,1),(154,1),(159,1),(160,1),(171,1)}
       146:{1,4,5,7}:{(127,1),(128,1),(131,1),(155,1)}
       147:{1,3,6}:{(129,1),(130,1),(136,1),(156,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(137,1),(157,1),(160,1),(161,1)}
       149:{2,3,4,5}:{(133,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(162,1),(163,1)}
       151:{2,4,5,7}:{(134,1),(135,1),(137,1),(163,1)}
       152:{2,3,6,7}:{(136,1),(137,1),(161,1),(163,1)}
       153:{2,3,5}:{(138,1),(144,1),(164,1)}
       154:{2,5,6}:{(139,1),(142,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(140,1),(143,1),(146,1),(166,1)}
       156:{2,3,6}:{(141,1),(142,1),(147,1)}
       157:{2,4,6,7}:{(142,1),(143,1),(166,1),(167,1),(174,1)}
       158:{1,3,4,5}:{(144,1),(149,1),(164,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(150,1),(165,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(174,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(152,1),(167,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{2,4,5}:{(153,1),(158,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{2,5,7}:{(154,1),(155,1),(157,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{1,3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,4,7}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{1,3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

2856 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{1,2,3,5,6,7}:{(7,1),(21,1),(41,1),(51,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         3:{2,3,4,5,6}:{(6,1),(8,1),(52,1),(54,1),(80,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(3,1),(9,1),(12,1),(60,1),(62,1)}
         7:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(59,1),(67,1),(94,1),(100,1),(128,1)}
         8:{1,3,4,5,6}:{(3,1),(12,1),(15,1),(36,1),(72,1),(99,1),(103,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(84,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(22,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(8,1),(16,1),(19,1),(44,1),(79,1)}
        13:{1,3,4,6,7}:{(7,1),(20,1),(21,1),(48,1),(115,1),(135,1)}
        14:{1,2,4,5,7}:{(7,1),(21,1),(22,1),(47,1),(79,1),(111,1)}
        15:{2,4,5,6}:{(8,1),(19,1),(24,1),(91,1),(118,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(103,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(35,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(15,1),(25,1),(30,1)}
        20:{2,3,4,6,7}:{(13,1),(33,1),(34,1),(67,1),(94,1),(101,1),(129,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        22:{1,2,4,5,6}:{(14,1),(35,1),(67,1),(99,1),(124,1),(128,1)}
        23:{1,2,4,5,6}:{(15,1),(29,1),(36,1),(71,1),(74,1),(99,1),(105,1),(107,1),(124,1),(128,1)}
        24:{2,3,5,6}:{(15,1),(30,1),(36,1),(37,1),(108,1),(129,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(118,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(88,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(51,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(48,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(23,1),(39,1),(44,1),(79,1),(82,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(21,1),(47,1),(48,1)}
        32:{1,2,3,6,7}:{(46,1),(49,1),(75,1),(119,1)}
        33:{1,3,4,6,7}:{(20,1),(49,1),(50,1),(85,1),(87,1),(119,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(47,1),(50,1),(51,1),(111,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(48,1),(51,1),(135,1)}
        36:{1,3,5,6}:{(23,1),(24,1),(44,1),(52,1),(53,1),(92,1),(119,1),(120,1),(135,1)}
        37:{2,3,4,6}:{(24,1),(45,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(46,1),(52,1),(55,1),(88,1),(92,1),(119,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(105,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(69,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(67,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(36,1),(56,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(30,1),(37,1),(63,1)}
        46:{1,2,3,5,7}:{(32,1),(38,1),(62,1),(65,1),(68,1),(104,1)}
        47:{2,4,5,7}:{(31,1),(34,1),(66,1),(67,1)}
        48:{1,3,4,6}:{(31,1),(35,1),(67,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(65,1),(68,1),(94,1),(105,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(66,1),(68,1),(69,1)}
        51:{2,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(124,1),(129,1)}
        52:{2,3,5,6}:{(36,1),(62,1),(71,1),(108,1),(124,1),(129,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(63,1),(71,1),(72,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(108,1)}
        55:{1,2,4,6}:{(38,1),(65,1),(71,1),(73,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(119,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(84,1)}
        58:{1,2,3,5,6,7}:{(41,1),(46,1),(75,1),(78,1),(88,1),(111,1),(113,1),(119,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(87,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(48,1),(80,1),(112,1),(134,1)}
        62:{2,3,5,7}:{(44,1),(52,1),(75,1),(82,1),(111,1)}
        63:{1,3,4,7}:{(44,1),(45,1),(53,1),(82,1)}
        64:{2,3,4,5,7}:{(45,1),(47,1),(54,1),(77,1),(83,1),(84,1),(117,1),(132,1)}
        65:{1,2,4,7}:{(46,1),(55,1),(82,1),(85,1)}
        66:{1,4,5,7}:{(47,1),(50,1),(87,1)}
        67:{2,4,6}:{(47,1),(48,1),(51,1),(87,1)}
        68:{1,2,5,7}:{(49,1),(50,1),(88,1),(111,1)}
        69:{1,3,5,6}:{(50,1),(51,1),(87,1),(88,1),(119,1)}
        70:{1,2,3,5,6}:{(52,1),(81,1),(89,1),(120,1),(131,1),(135,1)}
        71:{2,4,6}:{(52,1),(53,1),(82,1),(91,1)}
        72:{1,3,4,5}:{(53,1),(54,1),(91,1),(92,1),(120,1)}
        73:{1,3,4,6}:{(55,1),(85,1),(90,1),(92,1),(119,1)}
        74:{1,2,4,5}:{(55,1),(91,1),(92,1)}
        75:{2,3,6,7}:{(56,1),(62,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(94,1),(95,1),(103,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(65,1),(94,1),(97,1),(98,1),(105,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(67,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(70,1),(93,1),(100,1),(122,1),(127,1)}
        82:{2,4,7}:{(62,1),(63,1),(71,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(72,1),(95,1),(102,1),(103,1),(104,1),(127,1),(136,1)}
        84:{2,3,4,6}:{(64,1),(67,1),(96,1),(103,1),(129,1),(138,1)}
        85:{1,3,4,7}:{(65,1),(73,1),(101,1),(104,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(102,1),(104,1),(105,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(68,1),(69,1),(105,1),(124,1)}
        89:{1,2,4,6}:{(70,1),(71,1),(100,1),(106,1),(107,1)}
        90:{2,3,4,6}:{(71,1),(73,1),(101,1),(106,1),(108,1),(129,1)}
        91:{2,4,5}:{(71,1),(72,1),(108,1)}
        92:{1,3,5}:{(73,1),(74,1),(108,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(82,1),(111,1),(118,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(84,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(85,1),(110,1),(113,1),(119,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(87,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(89,1),(115,1)}
       101:{2,3,4,7}:{(82,1),(85,1),(90,1),(115,1),(117,1)}
       102:{2,4,5,7}:{(82,1),(83,1),(91,1),(111,1),(117,1),(118,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(87,1),(112,1),(118,1),(119,1),(135,1),(139,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(92,1),(117,1),(119,1)}
       105:{1,2,4,6}:{(86,1),(87,1),(88,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(115,1),(120,1),(135,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(120,1)}
       108:{2,3,5}:{(90,1),(91,1),(92,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(101,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(103,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(105,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(106,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(107,1),(122,1),(127,1),(128,1),(136,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(108,1),(127,1),(129,1)}
       118:{2,4,6}:{(102,1),(103,1),(124,1),(129,1)}
       119:{1,3,6}:{(104,1),(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(118,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(119,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(120,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(118,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(117,1),(118,1),(119,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2857 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2858 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2859 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2860 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(134,1),(135,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(87,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(103,1),(135,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(88,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(115,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(74,1),(111,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(47,1),(135,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(61,1),(97,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(47,1),(70,1),(100,1),(106,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(47,1),(110,1),(111,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(60,1),(96,1),(97,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(75,1),(130,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(47,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(49,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(47,1),(49,1)}
        37:{1,2,3,4,6,7}:{(27,1),(50,1),(55,1),(81,1),(83,1),(113,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(47,1),(51,1),(100,1),(110,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(49,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(34,1),(56,1),(84,1),(118,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(58,1),(59,1),(62,1),(89,1),(139,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(57,1),(59,1),(94,1),(141,1)}
        47:{2,4,6,7}:{(34,1),(36,1),(38,1),(60,1)}
        48:{1,2,4,5,6}:{(35,1),(40,1),(58,1),(62,1),(63,1),(67,1)}
        49:{1,4,5,7}:{(35,1),(36,1),(41,1),(60,1)}
        50:{1,2,3,5,7}:{(37,1),(39,1),(64,1),(65,1),(128,1)}
        51:{1,3,5,6,7}:{(38,1),(41,1),(60,1),(66,1),(96,1)}
        52:{1,2,4,5}:{(39,1),(61,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(96,1)}
        56:{2,4,5,6,7}:{(44,1),(47,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(46,1),(47,1),(69,1),(73,1),(110,1),(131,1)}
        58:{2,4,5,6}:{(45,1),(75,1),(76,1)}
        59:{1,3,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(76,1),(80,1),(108,1),(145,1)}
        60:{1,4,6,7}:{(47,1),(49,1),(51,1)}
        61:{1,3,4,5}:{(52,1),(74,1),(79,1)}
        62:{1,3,5,6}:{(48,1),(75,1),(79,1),(80,1)}
        63:{1,2,4,5,7}:{(48,1),(49,1),(54,1),(76,1),(78,1),(80,1),(83,1)}
        64:{1,2,4,5,7}:{(50,1),(52,1),(77,1),(81,1),(83,1)}
        65:{1,2,3,5,6}:{(50,1),(81,1),(112,1)}
        66:{1,2,5,6,7}:{(51,1),(54,1),(78,1),(100,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(79,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(80,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(60,1),(84,1),(140,1)}
        71:{1,2,3,4,6}:{(86,1),(87,1),(120,1),(121,1)}
        72:{1,2,4,5,6}:{(58,1),(89,1),(90,1),(121,1),(139,1),(142,1)}
        73:{1,3,4,6,7}:{(57,1),(59,1),(60,1),(84,1),(92,1),(96,1),(124,1),(140,1)}
        74:{2,3,4,5}:{(61,1),(88,1),(93,1)}
        75:{2,3,5,6}:{(58,1),(62,1),(89,1),(93,1),(94,1)}
        76:{2,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        77:{1,3,4,5,7}:{(61,1),(64,1),(91,1),(95,1),(97,1),(128,1)}
        78:{1,2,4,6,7}:{(60,1),(63,1),(66,1),(92,1),(96,1)}
        79:{1,3,4,6}:{(61,1),(62,1),(67,1),(93,1),(97,1)}
        80:{1,3,5,7}:{(62,1),(63,1),(94,1),(96,1),(97,1)}
        81:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        82:{1,2,3,5,6,7}:{(65,1),(66,1),(68,1),(96,1),(99,1),(116,1),(128,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(97,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(78,1),(100,1),(101,1),(114,1),(131,1)}
        86:{1,2,3,4,7}:{(71,1),(102,1),(135,1)}
        87:{1,2,3,5}:{(71,1),(103,1)}
        88:{1,3,4,5}:{(74,1),(103,1),(107,1)}
        89:{1,3,5,6}:{(72,1),(75,1),(107,1),(108,1)}
        90:{1,2,4,5,7}:{(72,1),(76,1),(106,1),(108,1),(135,1),(145,1),(146,1)}
        91:{2,3,4,5,7}:{(74,1),(77,1),(105,1),(109,1),(111,1),(138,1)}
        92:{2,4,6,7}:{(73,1),(76,1),(100,1),(110,1)}
        93:{2,3,4,6}:{(74,1),(75,1),(79,1),(107,1),(111,1)}
        94:{2,3,5,7}:{(75,1),(76,1),(80,1),(108,1),(110,1),(111,1)}
        95:{1,3,4,6}:{(77,1),(81,1),(109,1),(112,1)}
        96:{1,3,6,7}:{(78,1),(80,1),(110,1)}
        97:{1,3,4,7}:{(79,1),(80,1),(83,1),(111,1)}
        98:{1,2,4,5,6}:{(81,1),(112,1),(114,1),(130,1)}
        99:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(113,1),(114,1),(131,1)}
       100:{2,5,6,7}:{(84,1),(92,1)}
       101:{1,3,5,6,7}:{(85,1),(96,1),(116,1),(118,1),(128,1)}
       102:{1,2,3,5,7}:{(86,1),(87,1),(119,1),(120,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(121,1)}
       104:{1,2,3,5,6}:{(87,1),(89,1),(120,1),(121,1),(122,1),(142,1)}
       105:{1,3,4,5,7}:{(88,1),(91,1),(119,1),(123,1),(125,1),(144,1)}
       106:{1,2,4,6,7}:{(90,1),(92,1),(115,1),(124,1),(140,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(93,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(89,1),(90,1),(94,1),(124,1),(125,1)}
       109:{2,3,4,6}:{(91,1),(95,1),(123,1),(126,1)}
       110:{2,3,6,7}:{(92,1),(94,1),(96,1),(124,1)}
       111:{2,3,4,7}:{(93,1),(94,1),(97,1),(125,1)}
       112:{1,3,5,6}:{(95,1),(98,1),(126,1),(128,1)}
       113:{1,3,4,6,7}:{(95,1),(96,1),(97,1),(99,1),(127,1),(128,1)}
       114:{1,2,4,5,7}:{(98,1),(99,1),(128,1),(141,1)}
       115:{1,2,5,6,7}:{(100,1),(106,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(110,1),(129,1),(131,1),(138,1)}
       117:{1,3,4,5,6}:{(112,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(105,1),(133,1),(135,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,2,4,6}:{(103,1),(104,1),(107,1),(135,1)}
       122:{1,2,3,5,7}:{(104,1),(108,1),(134,1),(135,1),(146,1)}
       123:{1,3,4,6}:{(105,1),(109,1),(133,1),(136,1)}
       124:{1,3,6,7}:{(106,1),(108,1),(110,1)}
       125:{1,3,4,7}:{(107,1),(108,1),(111,1),(135,1)}
       126:{2,3,5,6}:{(109,1),(112,1),(130,1),(136,1),(138,1)}
       127:{2,3,4,6,7}:{(109,1),(110,1),(111,1),(113,1),(131,1),(137,1),(138,1)}
       128:{1,3,5,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(124,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(126,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(128,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(123,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(124,1),(143,1)}
       135:{1,2,4,7}:{(121,1),(122,1),(125,1)}
       136:{1,3,5,6}:{(123,1),(126,1),(139,1),(142,1),(144,1)}
       137:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(140,1),(143,1),(144,1)}
       138:{2,3,5,7}:{(126,1),(127,1),(128,1),(141,1),(144,1)}
       139:{1,4,5,6}:{(130,1),(136,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(138,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(136,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(146,1)}
       144:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2861 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(66,1),(99,1),(100,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(84,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(100,1),(101,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(81,1),(112,1),(113,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(114,1),(115,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(100,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(105,1),(106,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(113,1),(114,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(91,1),(92,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(71,1),(96,1),(103,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(104,1),(105,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(76,1),(77,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(113,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(90,1),(91,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(41,1),(42,1),(70,1),(145,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(103,1),(104,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(76,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(76,1)}
        41:{2,3,4,5,7}:{(31,1),(33,1),(52,1),(53,1),(87,1),(140,1)}
        42:{1,3,4,5,6}:{(31,1),(34,1),(53,1),(54,1),(58,1),(80,1),(146,1)}
        43:{1,3,4,5,6,7}:{(32,1),(55,1),(85,1),(122,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(54,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(90,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(90,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,3,4,6,7}:{(41,1),(44,1),(67,1),(68,1),(104,1),(131,1)}
        53:{1,3,4,5,7}:{(41,1),(42,1),(45,1),(68,1),(69,1),(73,1),(97,1),(143,1)}
        54:{2,4,5,6}:{(42,1),(69,1),(70,1)}
        55:{2,4,5,6,7}:{(43,1),(44,1),(67,1),(71,1),(103,1),(131,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6}:{(46,1),(70,1),(73,1),(74,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(72,1),(103,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(73,1),(76,1)}
        61:{1,2,4,6}:{(49,1),(74,1),(76,1),(77,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(76,1),(78,1),(108,1),(111,1)}
        63:{1,2,3,5}:{(51,1),(77,1)}
        64:{1,2,4,5,6}:{(54,1),(79,1),(80,1),(82,1),(139,1),(146,1)}
        65:{1,2,3,5,6}:{(80,1),(81,1),(82,1),(84,1),(118,1),(139,1)}
        66:{1,2,3,4,6}:{(82,1),(83,1),(84,1),(118,1)}
        67:{2,3,5,6,7}:{(52,1),(55,1),(85,1)}
        68:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(85,1),(86,1),(90,1),(113,1),(136,1)}
        69:{2,4,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        70:{2,3,5,6}:{(54,1),(58,1),(80,1),(87,1),(88,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(136,1)}
        72:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(86,1),(90,1)}
        73:{1,3,5,7}:{(57,1),(58,1),(87,1),(90,1),(91,1)}
        74:{1,3,4,6}:{(58,1),(61,1),(88,1),(91,1),(92,1)}
        75:{1,2,3,5,6,7}:{(59,1),(60,1),(90,1),(93,1),(95,1),(119,1),(123,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(91,1)}
        77:{1,2,4,5}:{(61,1),(63,1),(92,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(94,1),(95,1),(123,1)}
        79:{1,2,4,5,7}:{(64,1),(69,1),(96,1),(97,1),(100,1),(129,1),(143,1)}
        80:{1,3,5,6}:{(64,1),(70,1),(97,1),(98,1)}
        81:{1,2,3,5,7}:{(65,1),(97,1),(99,1),(100,1),(129,1)}
        82:{1,2,4,6}:{(65,1),(98,1),(100,1),(101,1)}
        83:{1,2,3,4,7}:{(66,1),(100,1),(102,1)}
        84:{1,2,3,5}:{(66,1),(101,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(103,1)}
        86:{2,4,6,7}:{(68,1),(69,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(70,1),(73,1),(97,1),(104,1),(105,1)}
        88:{2,3,4,6}:{(70,1),(74,1),(98,1),(105,1),(106,1)}
        89:{1,2,4,5,6,7}:{(71,1),(72,1),(103,1),(107,1),(110,1),(131,1)}
        90:{1,3,6,7}:{(72,1),(73,1),(104,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(76,1),(105,1)}
        92:{1,3,4,5}:{(74,1),(77,1),(106,1)}
        93:{1,2,4,6,7}:{(75,1),(76,1),(108,1),(110,1),(111,1),(131,1)}
        94:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(109,1),(111,1)}
        95:{1,2,3,5,6}:{(78,1),(111,1),(135,1)}
        96:{1,2,4,6,7}:{(79,1),(86,1),(112,1),(113,1),(136,1)}
        97:{1,3,5,7}:{(79,1),(80,1),(87,1),(113,1),(114,1)}
        98:{1,3,4,6}:{(80,1),(82,1),(88,1),(114,1),(115,1)}
        99:{1,2,3,6,7}:{(81,1),(113,1),(116,1),(118,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(114,1)}
       101:{1,2,4,5}:{(82,1),(84,1),(115,1)}
       102:{1,2,3,5,7}:{(83,1),(84,1),(117,1),(118,1)}
       103:{2,5,6,7}:{(85,1),(86,1)}
       104:{2,3,6,7}:{(86,1),(87,1),(90,1),(113,1)}
       105:{2,3,4,7}:{(87,1),(88,1),(91,1),(114,1)}
       106:{2,3,4,5}:{(88,1),(92,1),(115,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(119,1),(122,1),(123,1)}
       108:{1,3,4,6,7}:{(90,1),(91,1),(93,1),(120,1),(123,1),(124,1)}
       109:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(121,1),(123,1),(124,1)}
       110:{1,2,4,5,7}:{(93,1),(123,1),(125,1),(140,1)}
       111:{1,2,4,6}:{(94,1),(95,1),(124,1)}
       112:{1,2,5,6,7}:{(96,1),(103,1),(126,1),(129,1)}
       113:{1,3,6,7}:{(96,1),(97,1),(104,1)}
       114:{1,3,4,7}:{(97,1),(98,1),(100,1),(105,1)}
       115:{1,3,4,5}:{(98,1),(101,1),(106,1)}
       116:{1,2,4,6,7}:{(99,1),(100,1),(127,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(128,1),(129,1),(130,1)}
       118:{1,2,3,6}:{(102,1),(130,1)}
       119:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(126,1),(131,1),(132,1)}
       120:{2,3,4,6,7}:{(104,1),(105,1),(108,1),(127,1),(131,1),(132,1),(133,1)}
       121:{2,3,4,5,7}:{(105,1),(106,1),(109,1),(128,1),(132,1),(133,1)}
       122:{1,3,4,6,7}:{(107,1),(131,1),(134,1)}
       123:{1,3,5,7}:{(108,1),(110,1),(132,1),(135,1)}
       124:{1,3,4,6}:{(109,1),(111,1),(133,1),(135,1)}
       125:{1,2,4,5,6}:{(110,1),(111,1),(135,1),(145,1)}
       126:{1,3,5,6,7}:{(112,1),(113,1),(119,1),(136,1),(137,1)}
       127:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(120,1),(136,1),(137,1),(138,1)}
       128:{1,3,4,5,7}:{(114,1),(115,1),(117,1),(121,1),(137,1),(138,1)}
       129:{1,2,5,7}:{(116,1),(137,1),(139,1)}
       130:{1,2,4,6}:{(117,1),(118,1),(138,1),(139,1)}
       131:{2,4,6,7}:{(119,1),(122,1),(136,1),(140,1)}
       132:{2,3,5,7}:{(120,1),(123,1),(137,1),(140,1),(141,1)}
       133:{2,3,4,6}:{(121,1),(124,1),(138,1),(141,1)}
       134:{1,3,4,5,7}:{(122,1),(123,1),(140,1),(142,1)}
       135:{1,3,5,6}:{(123,1),(124,1),(125,1),(141,1)}
       136:{1,4,6,7}:{(126,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(127,1),(129,1),(132,1),(143,1),(144,1)}
       138:{1,3,4,6}:{(128,1),(130,1),(133,1),(144,1)}
       139:{1,2,5,6}:{(129,1),(130,1),(144,1)}
       140:{2,4,5,7}:{(131,1),(132,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6}:{(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,5,6}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,5,6}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,5,6}:{(143,1),(144,1),(145,1)}

2862 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(78,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(96,1),(129,1)}
         5:{1,2,4,5}:{(2,1),(9,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(82,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(21,1),(24,1),(54,1),(113,1),(141,1)}
        11:{1,2,3,6}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(20,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(22,1),(24,1),(53,1),(54,1)}
        14:{1,2,3,4,6}:{(7,1),(26,1),(28,1),(60,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(25,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(33,1),(35,1),(71,1),(97,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(32,1),(34,1),(35,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(33,1),(36,1)}
        22:{1,2,3,6,7}:{(11,1),(13,1),(37,1),(72,1),(129,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(65,1),(70,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(35,1)}
        25:{1,3,4,5}:{(16,1),(18,1),(40,1)}
        26:{1,2,3,5}:{(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(39,1),(41,1),(43,1),(46,1),(82,1),(83,1)}
        28:{1,2,3,6}:{(15,1),(43,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(40,1),(45,1),(46,1)}
        30:{1,2,3,7}:{(17,1),(46,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(47,1),(49,1),(79,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(48,1),(49,1)}
        33:{1,3,4,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,5,6}:{(20,1),(23,1),(48,1),(53,1)}
        35:{1,3,4,7}:{(20,1),(24,1),(49,1),(53,1)}
        36:{1,2,5,6}:{(21,1),(51,1),(54,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(52,1),(54,1),(141,1),(152,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(54,1),(55,1),(85,1),(90,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(31,1),(56,1),(58,1),(59,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(29,1),(32,1),(57,1),(58,1)}
        41:{1,2,4,5}:{(26,1),(59,1),(60,1)}
        42:{1,2,3,5,6}:{(26,1),(28,1),(60,1),(61,1),(62,1),(99,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(56,1),(62,1)}
        44:{1,2,3,6,7}:{(28,1),(30,1),(61,1),(63,1),(133,1)}
        45:{1,2,5,6}:{(29,1),(57,1),(64,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(58,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(33,1),(56,1),(66,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(57,1),(65,1),(68,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(34,1),(65,1),(69,1),(70,1),(104,1)}
        51:{1,3,5,6}:{(33,1),(36,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(67,1),(71,1),(72,1),(108,1),(131,1),(149,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(38,1),(68,1),(72,1)}
        54:{1,2,5,7}:{(36,1),(37,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(72,1),(73,1),(103,1),(108,1)}
        56:{1,3,4,6}:{(39,1),(43,1),(47,1),(75,1)}
        57:{1,3,5,6}:{(40,1),(45,1),(48,1),(74,1),(77,1)}
        58:{1,3,4,7}:{(40,1),(46,1),(49,1),(77,1)}
        59:{1,3,4,5}:{(41,1),(79,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(42,1),(80,1),(82,1)}
        61:{1,2,3,5,7}:{(42,1),(44,1),(82,1),(83,1),(118,1)}
        62:{1,2,5,6}:{(43,1),(75,1),(83,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(76,1),(82,1),(83,1),(84,1)}
        64:{1,2,5,7}:{(45,1),(46,1),(77,1),(84,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(74,1),(85,1)}
        66:{2,3,5,6}:{(47,1),(51,1),(75,1),(86,1),(87,1)}
        67:{2,3,4,6,7}:{(47,1),(49,1),(52,1),(76,1),(87,1),(88,1),(117,1),(122,1),(143,1)}
        68:{2,3,5,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(88,1)}
        69:{1,3,4,5,7}:{(50,1),(53,1),(85,1),(89,1),(90,1),(121,1)}
        70:{1,4,5,6}:{(51,1),(86,1),(90,1)}
        71:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(90,1)}
        72:{1,3,6,7}:{(53,1),(55,1),(88,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(91,1),(120,1),(152,1)}
        74:{1,4,5,6}:{(57,1),(65,1),(92,1)}
        75:{1,3,5,6}:{(56,1),(62,1),(66,1),(93,1),(94,1)}
        76:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(67,1),(94,1),(95,1),(100,1),(127,1),(133,1)}
        77:{1,3,5,7}:{(57,1),(58,1),(64,1),(68,1),(92,1),(95,1)}
        78:{1,2,3,4}:{(96,1)}
        79:{2,3,4,5}:{(59,1),(97,1),(98,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(98,1),(99,1),(100,1)}
        81:{1,2,4,5,6}:{(60,1),(62,1),(93,1),(99,1),(101,1),(125,1)}
        82:{1,2,4,7}:{(60,1),(61,1),(100,1)}
        83:{1,2,5,7}:{(62,1),(63,1),(94,1)}
        84:{1,2,6,7}:{(64,1),(95,1)}
        85:{2,4,5,7}:{(65,1),(68,1),(69,1),(92,1),(103,1)}
        86:{2,4,5,6}:{(66,1),(70,1),(93,1),(104,1),(105,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(71,1),(94,1),(105,1)}
        88:{2,3,6,7}:{(68,1),(72,1),(95,1),(103,1)}
        89:{1,3,4,6,7}:{(69,1),(72,1),(103,1),(107,1),(108,1),(135,1)}
        90:{1,4,5,7}:{(70,1),(71,1),(105,1),(108,1)}
        91:{1,3,5,6,7}:{(71,1),(72,1),(73,1),(106,1),(108,1),(149,1),(153,1)}
        92:{1,4,5,7}:{(74,1),(77,1),(85,1),(109,1)}
        93:{1,4,5,6}:{(75,1),(86,1),(111,1)}
        94:{1,3,5,7}:{(75,1),(76,1),(83,1),(87,1),(111,1)}
        95:{1,3,6,7}:{(77,1),(84,1),(88,1),(109,1)}
        96:{1,2,3,5}:{(78,1),(113,1),(114,1)}
        97:{1,3,4,5}:{(79,1),(113,1),(115,1)}
        98:{2,3,4,6}:{(79,1),(80,1),(115,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(80,1),(81,1),(116,1),(118,1)}
       100:{1,3,4,7}:{(80,1),(82,1),(117,1),(118,1)}
       101:{1,2,4,5,7}:{(81,1),(82,1),(83,1),(111,1),(118,1),(119,1),(138,1)}
       102:{1,2,5,6,7}:{(83,1),(84,1),(112,1),(119,1),(150,1)}
       103:{2,4,6,7}:{(85,1),(88,1),(89,1),(109,1),(120,1)}
       104:{3,4,5,6}:{(86,1),(121,1)}
       105:{2,4,5,7}:{(86,1),(87,1),(90,1),(111,1),(121,1),(122,1)}
       106:{2,3,5,6,7}:{(87,1),(88,1),(91,1),(112,1),(120,1),(122,1),(143,1),(144,1),(150,1)}
       107:{1,3,5,6,7}:{(89,1),(120,1),(123,1),(144,1)}
       108:{1,4,6,7}:{(90,1),(91,1),(122,1)}
       109:{1,4,6,7}:{(92,1),(95,1),(103,1),(124,1)}
       110:{1,3,4,5,6}:{(93,1),(99,1),(104,1),(125,1),(126,1)}
       111:{1,4,5,7}:{(93,1),(94,1),(105,1),(127,1)}
       112:{1,3,5,6,7}:{(94,1),(95,1),(102,1),(106,1),(124,1),(127,1),(133,1)}
       113:{1,2,4,5}:{(96,1),(97,1),(128,1)}
       114:{1,2,3,6}:{(96,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(97,1),(98,1),(128,1),(130,1),(131,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(125,1),(130,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(131,1),(132,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(133,1)}
       119:{1,2,4,6,7}:{(101,1),(102,1),(127,1),(133,1),(147,1)}
       120:{2,5,6,7}:{(103,1),(107,1),(124,1)}
       121:{3,4,5,7}:{(104,1),(105,1),(135,1)}
       122:{2,4,6,7}:{(105,1),(106,1),(108,1),(127,1),(135,1)}
       123:{1,4,5,6,7}:{(107,1),(108,1),(134,1),(153,1)}
       124:{1,5,6,7}:{(109,1),(120,1)}
       125:{2,4,5,6}:{(110,1),(116,1),(137,1),(138,1)}
       126:{1,3,4,5,7}:{(110,1),(111,1),(118,1),(121,1),(138,1),(139,1)}
       127:{1,4,6,7}:{(111,1),(112,1),(122,1)}
       128:{1,2,4,6}:{(113,1),(114,1),(115,1),(140,1),(141,1)}
       129:{1,2,3,7}:{(114,1),(141,1)}
       130:{1,3,5,6}:{(115,1),(116,1),(137,1),(140,1),(142,1)}
       131:{1,3,4,7}:{(115,1),(117,1),(141,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(118,1),(138,1),(142,1),(143,1)}
       133:{1,3,6,7}:{(118,1),(119,1),(143,1)}
       134:{2,4,5,6,7}:{(120,1),(122,1),(123,1),(136,1),(144,1),(150,1)}
       135:{3,4,6,7}:{(121,1),(122,1),(144,1)}
       136:{1,4,5,6,7}:{(124,1),(127,1),(134,1),(145,1)}
       137:{1,4,5,6}:{(125,1),(130,1),(146,1)}
       138:{2,4,5,7}:{(125,1),(126,1),(132,1),(146,1),(147,1)}
       139:{1,3,4,6,7}:{(126,1),(127,1),(133,1),(135,1),(145,1),(147,1)}
       140:{1,2,5,6}:{(128,1),(130,1),(148,1)}
       141:{1,2,4,7}:{(128,1),(129,1),(131,1),(148,1)}
       142:{1,3,5,7}:{(130,1),(131,1),(132,1),(146,1),(148,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(133,1),(147,1),(149,1)}
       144:{3,5,6,7}:{(134,1),(135,1)}
       145:{1,3,5,6,7}:{(136,1),(139,1),(144,1),(150,1)}
       146:{1,4,5,7}:{(137,1),(138,1),(142,1),(151,1)}
       147:{2,4,6,7}:{(138,1),(139,1),(143,1),(150,1),(151,1)}
       148:{1,2,5,7}:{(140,1),(141,1),(142,1),(152,1)}
       149:{1,3,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{2,5,6,7}:{(145,1),(147,1),(153,1)}
       151:{1,4,6,7}:{(146,1),(147,1),(149,1),(153,1)}
       152:{1,2,6,7}:{(148,1),(149,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2863 :  0:{1,2,3,4,7}:{(1,1),(2,1),(25,1),(29,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(37,1),(68,1)}
        3:{1,2,3,5}:{(1,1),(8,1)}
        4:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(10,1),(29,1),(30,1),(52,1),(82,1)}
        5:{1,2,3,6}:{(2,1),(10,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(26,1),(32,1),(56,1)}
        7:{1,3,4,5,7}:{(4,1),(6,1),(13,1),(14,1),(15,1),(36,1),(38,1),(41,1),(70,1)}
        8:{1,2,4,5}:{(3,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(3,1),(5,1),(16,1),(17,1),(18,1),(40,1)}
       10:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
       11:{1,2,3,6,7}:{(5,1),(17,1),(19,1),(68,1),(72,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(26,1),(48,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(10,1),(12,1),(22,1),(23,1)}
       15:{1,3,4,5}:{(8,1),(26,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1)}
       17:{1,2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(57,1)}
       18:{1,2,5,6}:{(10,1),(23,1),(30,1)}
       19:{1,2,4,6,7}:{(10,1),(11,1),(24,1),(29,1),(30,1),(82,1),(96,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(31,1),(32,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(32,1),(56,1),(60,1),(84,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,5,6}:{(14,1),(18,1),(20,1),(33,1),(35,1),(36,1)}
       24:{1,3,4,6,7}:{(14,1),(19,1),(21,1),(34,1),(36,1),(41,1),(66,1),(70,1),(72,1),(92,1)}
       25:{1,2,3,4}:{(37,1)}
       26:{2,3,4,5}:{(15,1),(38,1),(39,1)}
       27:{1,3,4,6}:{(15,1),(16,1),(39,1),(40,1),(41,1)}
       28:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(40,1),(42,1),(64,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(41,1)}
       30:{1,2,5,7}:{(18,1),(19,1),(36,1)}
       31:{2,4,5,6}:{(20,1),(35,1),(44,1),(45,1)}
       32:{2,3,5,7}:{(20,1),(21,1),(36,1),(45,1)}
       33:{2,3,5,6}:{(22,1),(23,1),(47,1),(48,1)}
       34:{2,3,4,6,7}:{(22,1),(24,1),(48,1),(56,1),(76,1),(84,1)}
       35:{1,4,5,6}:{(23,1),(31,1),(47,1),(50,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(30,1),(32,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(52,1),(53,1)}
       38:{1,3,4,5}:{(26,1),(52,1),(54,1)}
       39:{2,3,4,6}:{(26,1),(27,1),(54,1),(55,1),(56,1)}
       40:{1,3,5,6}:{(27,1),(28,1),(55,1),(57,1)}
       41:{1,3,4,7}:{(27,1),(29,1),(56,1),(57,1)}
       42:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(50,1),(57,1),(58,1),(79,1)}
       43:{1,2,5,6,7}:{(30,1),(51,1),(58,1),(94,1),(96,1)}
       44:{3,4,5,6}:{(31,1),(59,1)}
       45:{2,4,5,7}:{(31,1),(32,1),(50,1),(59,1),(60,1)}
       46:{2,3,5,6,7}:{(32,1),(51,1),(60,1),(84,1),(85,1),(94,1)}
       47:{2,4,5,6}:{(33,1),(35,1),(61,1),(62,1)}
       48:{2,3,5,7}:{(33,1),(34,1),(36,1),(62,1)}
       49:{1,3,4,5,6}:{(35,1),(40,1),(44,1),(61,1),(64,1),(65,1)}
       50:{1,4,5,7}:{(35,1),(36,1),(45,1),(62,1),(66,1)}
       51:{1,3,5,6,7}:{(36,1),(43,1),(46,1),(63,1),(66,1),(72,1),(92,1),(97,1)}
       52:{1,2,4,5}:{(37,1),(38,1),(67,1)}
       53:{1,2,3,6}:{(37,1),(67,1),(68,1)}
       54:{1,3,4,6}:{(38,1),(39,1),(67,1),(69,1),(70,1)}
       55:{2,3,5,6}:{(39,1),(40,1),(64,1),(69,1),(71,1)}
       56:{2,3,4,7}:{(39,1),(41,1),(70,1),(71,1)}
       57:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1)}
       58:{1,2,4,6,7}:{(42,1),(43,1),(66,1),(72,1),(90,1)}
       59:{3,4,5,7}:{(44,1),(45,1),(74,1)}
       60:{2,4,6,7}:{(45,1),(46,1),(66,1),(74,1)}
       61:{3,4,5,6}:{(47,1),(75,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(50,1),(75,1),(76,1)}
       63:{2,3,5,6,7}:{(48,1),(51,1),(76,1),(84,1),(93,1),(94,1)}
       64:{2,4,5,6}:{(49,1),(55,1),(78,1),(79,1)}
       65:{1,3,4,5,7}:{(49,1),(50,1),(57,1),(59,1),(75,1),(79,1),(80,1)}
       66:{1,4,6,7}:{(50,1),(51,1),(60,1),(76,1)}
       67:{1,2,4,6}:{(52,1),(53,1),(54,1),(81,1),(82,1)}
       68:{1,2,3,7}:{(53,1),(82,1)}
       69:{1,3,5,6}:{(54,1),(55,1),(78,1),(81,1),(83,1)}
       70:{1,3,4,7}:{(54,1),(56,1),(82,1),(83,1)}
       71:{2,3,5,7}:{(55,1),(56,1),(57,1),(79,1),(83,1),(84,1)}
       72:{1,3,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,5,6,7}:{(60,1),(77,1),(85,1),(94,1)}
       74:{3,4,6,7}:{(59,1),(60,1),(85,1)}
       75:{3,4,5,7}:{(61,1),(62,1),(87,1)}
       76:{2,4,6,7}:{(62,1),(63,1),(66,1),(87,1)}
       77:{1,4,5,6,7}:{(66,1),(73,1),(86,1),(88,1),(97,1)}
       78:{1,4,5,6}:{(64,1),(69,1),(89,1)}
       79:{2,4,5,7}:{(64,1),(65,1),(71,1),(89,1),(90,1)}
       80:{1,3,4,6,7}:{(65,1),(66,1),(72,1),(74,1),(87,1),(88,1),(90,1)}
       81:{1,2,5,6}:{(67,1),(69,1),(91,1)}
       82:{1,2,4,7}:{(67,1),(68,1),(70,1),(91,1)}
       83:{1,3,5,7}:{(69,1),(70,1),(71,1),(89,1),(91,1),(92,1)}
       84:{2,3,6,7}:{(71,1),(72,1),(90,1),(92,1)}
       85:{3,5,6,7}:{(73,1),(74,1)}
       86:{2,4,5,6,7}:{(76,1),(77,1),(93,1),(94,1)}
       87:{3,4,6,7}:{(75,1),(76,1),(93,1)}
       88:{1,3,5,6,7}:{(77,1),(80,1),(85,1),(93,1),(94,1)}
       89:{1,4,5,7}:{(78,1),(79,1),(83,1),(95,1)}
       90:{2,4,6,7}:{(79,1),(80,1),(84,1),(94,1),(95,1)}
       91:{1,2,5,7}:{(81,1),(82,1),(83,1),(96,1)}
       92:{1,3,6,7}:{(83,1),(84,1),(95,1),(96,1)}
       93:{3,5,6,7}:{(86,1),(87,1)}
       94:{2,5,6,7}:{(88,1),(90,1),(97,1)}
       95:{1,4,6,7}:{(89,1),(90,1),(92,1),(97,1)}
       96:{1,2,6,7}:{(91,1),(92,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2864 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(15,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(15,1),(16,1),(17,1)}
       11:{1,2,5,6}:{(6,1),(16,1),(18,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{2,3,5,6}:{(8,1),(16,1),(19,1),(20,1)}
       14:{2,3,4,7}:{(8,1),(17,1),(20,1)}
       15:{2,3,4,6}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,5,6}:{(10,1),(11,1),(13,1),(21,1),(23,1),(24,1)}
       17:{1,3,4,7}:{(10,1),(12,1),(14,1),(22,1),(24,1)}
       18:{1,2,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{2,4,5,6}:{(13,1),(23,1),(26,1),(27,1)}
       20:{2,3,5,7}:{(13,1),(14,1),(24,1),(27,1),(28,1)}
       21:{2,3,5,6}:{(15,1),(16,1),(29,1),(30,1)}
       22:{2,3,4,7}:{(15,1),(17,1),(30,1)}
       23:{1,4,5,6}:{(16,1),(19,1),(29,1),(31,1)}
       24:{1,3,5,7}:{(16,1),(17,1),(18,1),(20,1),(30,1),(31,1),(32,1)}
       25:{1,2,6,7}:{(18,1),(32,1)}
       26:{3,4,5,6}:{(19,1),(33,1)}
       27:{2,4,5,7}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
       28:{2,3,6,7}:{(20,1),(32,1),(34,1)}
       29:{2,4,5,6}:{(21,1),(23,1),(35,1),(36,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
       31:{1,4,5,7}:{(23,1),(24,1),(27,1),(36,1),(38,1)}
       32:{1,3,6,7}:{(24,1),(25,1),(28,1),(37,1),(38,1)}
       33:{3,4,5,7}:{(26,1),(27,1),(39,1)}
       34:{2,4,6,7}:{(27,1),(28,1),(38,1),(39,1),(40,1)}
       35:{3,4,5,6}:{(29,1),(41,1)}
       36:{2,4,5,7}:{(29,1),(30,1),(31,1),(41,1),(42,1)}
       37:{2,3,6,7}:{(30,1),(32,1),(42,1)}
       38:{1,4,6,7}:{(31,1),(32,1),(34,1),(42,1),(43,1)}
       39:{3,4,6,7}:{(33,1),(34,1),(44,1)}
       40:{2,5,6,7}:{(34,1),(43,1),(44,1)}
       41:{3,4,5,7}:{(35,1),(36,1),(45,1)}
       42:{2,4,6,7}:{(36,1),(37,1),(38,1),(45,1),(46,1)}
       43:{1,5,6,7}:{(38,1),(40,1),(46,1)}
       44:{3,5,6,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       46:{2,5,6,7}:{(42,1),(43,1),(48,1)}
       47:{4,5,6,7}:{(44,1)}
       48:{3,5,6,7}:{(45,1),(46,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2865 :   0:{2,3,4,5,6}:{(2,1),(3,1),(39,1),(70,1),(119,1),(165,1)}
         1:{3,4,5,6,7}:{(5,1),(135,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(57,1),(148,1)}
         3:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(92,1),(101,1),(142,1),(149,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(43,1),(66,1),(83,1),(180,1)}
         5:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(124,1),(155,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(14,1),(76,1),(119,1),(124,1)}
         7:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(40,1),(75,1),(125,1)}
         8:{2,4,5,6}:{(3,1),(16,1),(17,1),(117,1),(160,1)}
         9:{3,4,5,6,7}:{(18,1),(101,1),(168,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(89,1),(169,1)}
        11:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(48,1),(60,1),(108,1),(135,1),(170,1)}
        12:{2,3,5,6,7}:{(5,1),(6,1),(22,1),(138,1)}
        13:{1,4,5,6,7}:{(5,1),(22,1),(23,1),(99,1),(170,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(22,1),(24,1),(54,1),(55,1),(99,1),(142,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(26,1),(58,1),(97,1),(146,1),(149,1),(151,1)}
        16:{2,4,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        17:{2,3,5,6}:{(8,1),(26,1),(27,1),(28,1),(140,1),(173,1)}
        18:{2,4,5,6,7}:{(9,1),(29,1),(30,1),(126,1),(153,1)}
        19:{2,3,4,6,7}:{(10,1),(29,1),(31,1),(83,1),(112,1),(153,1)}
        20:{1,3,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(67,1),(111,1),(154,1)}
        21:{2,4,5,6}:{(11,1),(33,1),(34,1),(81,1),(131,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(14,1),(35,1),(36,1),(158,1)}
        23:{2,4,5,6,7}:{(13,1),(35,1),(36,1),(74,1),(180,1)}
        24:{2,4,6,7}:{(14,1),(16,1),(35,1),(38,1),(160,1)}
        25:{1,2,4,5,7}:{(15,1),(16,1),(37,1),(40,1),(80,1),(125,1),(128,1)}
        26:{1,3,5,6}:{(15,1),(17,1),(39,1),(40,1),(41,1),(122,1),(163,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(38,1),(40,1),(42,1)}
        28:{2,3,4,6}:{(17,1),(41,1),(42,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(44,1),(104,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(45,1),(133,1),(149,1)}
        31:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(46,1),(86,1),(87,1),(108,1),(133,1)}
        32:{1,2,4,5,6}:{(21,1),(47,1),(48,1),(90,1),(97,1),(146,1),(170,1),(172,1)}
        33:{2,4,5,7}:{(20,1),(21,1),(46,1),(49,1)}
        34:{2,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(106,1),(152,1)}
        35:{2,5,6,7}:{(22,1),(24,1),(172,1)}
        36:{3,5,6,7}:{(23,1),(54,1),(186,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(55,1),(99,1),(102,1),(146,1)}
        38:{2,3,6,7}:{(24,1),(27,1),(55,1),(173,1)}
        39:{2,3,5,6}:{(26,1),(57,1),(58,1),(106,1),(151,1),(152,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(27,1),(55,1),(57,1),(59,1)}
        41:{1,3,4,6}:{(26,1),(28,1),(58,1),(59,1),(60,1)}
        42:{2,3,4,7}:{(27,1),(28,1),(59,1)}
        43:{2,3,4,5}:{(28,1),(60,1),(140,1)}
        44:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(62,1),(63,1),(129,1)}
        45:{2,4,5,6,7}:{(30,1),(62,1),(63,1),(110,1),(165,1)}
        46:{2,4,6,7}:{(31,1),(33,1),(62,1),(65,1),(131,1)}
        47:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(67,1),(116,1),(154,1),(157,1)}
        48:{1,3,5,6}:{(32,1),(34,1),(66,1),(67,1),(68,1),(122,1),(163,1)}
        49:{2,3,5,7}:{(33,1),(34,1),(65,1),(67,1),(69,1)}
        50:{2,3,4,6}:{(34,1),(68,1),(69,1),(70,1)}
        51:{1,2,3,5,6}:{(39,1),(66,1),(71,1),(72,1),(122,1),(162,1),(163,1)}
        52:{1,2,5,6,7}:{(35,1),(37,1),(73,1),(128,1),(162,1)}
        53:{2,3,5,6,7}:{(35,1),(36,1),(38,1),(73,1),(74,1),(78,1),(182,1)}
        54:{3,4,6,7}:{(36,1),(74,1),(75,1),(188,1)}
        55:{1,3,6,7}:{(37,1),(38,1),(40,1),(76,1),(163,1)}
        56:{2,3,4,6,7}:{(38,1),(42,1),(74,1),(77,1),(78,1),(83,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(76,1),(80,1),(128,1)}
        58:{2,4,6}:{(39,1),(41,1),(80,1),(81,1)}
        59:{1,3,4,7}:{(40,1),(41,1),(42,1),(80,1)}
        60:{1,3,4,5}:{(41,1),(43,1),(81,1),(122,1)}
        61:{2,3,4,5,7}:{(42,1),(43,1),(78,1),(82,1),(83,1),(159,1),(181,1)}
        62:{2,5,6,7}:{(44,1),(46,1),(151,1)}
        63:{3,5,6,7}:{(45,1),(86,1),(177,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(84,1),(87,1),(133,1),(136,1),(146,1)}
        65:{2,3,6,7}:{(46,1),(49,1),(87,1),(152,1)}
        66:{2,3,5,6}:{(48,1),(89,1),(90,1),(140,1),(172,1),(173,1)}
        67:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(89,1),(91,1)}
        68:{1,3,4,6}:{(48,1),(50,1),(90,1),(91,1),(92,1)}
        69:{2,3,4,7}:{(49,1),(50,1),(91,1)}
        70:{2,3,4,5}:{(50,1),(92,1),(106,1)}
        71:{1,2,3,5,7}:{(51,1),(57,1),(89,1),(94,1),(96,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(51,1),(58,1),(90,1),(95,1),(96,1),(97,1)}
        73:{1,3,5,6,7}:{(52,1),(53,1),(55,1),(98,1),(99,1),(103,1),(175,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(99,1),(100,1),(187,1)}
        75:{3,4,5,7}:{(54,1),(100,1),(101,1)}
        76:{2,3,6,7}:{(55,1),(57,1),(102,1),(152,1)}
        77:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(99,1),(102,1),(103,1),(108,1),(147,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,3,4,6}:{(58,1),(95,1),(105,1),(106,1),(152,1)}
        80:{2,4,7}:{(57,1),(58,1),(59,1)}
        81:{2,4,5}:{(58,1),(60,1),(106,1)}
        82:{1,3,4,5,7}:{(59,1),(60,1),(61,1),(103,1),(107,1),(108,1),(145,1),(174,1),(176,1)}
        83:{2,3,4,6}:{(61,1),(104,1),(108,1),(173,1),(187,1)}
        84:{1,2,5,6,7}:{(62,1),(64,1),(109,1),(157,1),(162,1)}
        85:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1),(114,1),(167,1)}
        86:{3,4,6,7}:{(63,1),(110,1),(111,1),(184,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(67,1),(112,1),(163,1)}
        88:{2,3,4,6,7}:{(65,1),(69,1),(110,1),(113,1),(114,1),(119,1)}
        89:{2,3,5,7}:{(66,1),(67,1),(112,1),(116,1),(157,1)}
        90:{2,4,6}:{(66,1),(68,1),(116,1),(117,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(69,1),(116,1)}
        92:{1,3,4,5}:{(68,1),(70,1),(117,1),(122,1)}
        93:{2,3,4,5,7}:{(69,1),(70,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        94:{1,2,3,6,7}:{(71,1),(76,1),(112,1),(120,1),(163,1)}
        95:{1,3,4,6}:{(72,1),(79,1),(115,1),(121,1),(122,1),(163,1)}
        96:{1,2,4,7}:{(71,1),(72,1),(80,1),(116,1),(121,1)}
        97:{1,2,4,5}:{(72,1),(81,1),(117,1),(122,1)}
        98:{2,3,5,6,7}:{(73,1),(76,1),(124,1),(128,1),(164,1),(167,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(124,1),(125,1),(183,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(125,1),(126,1)}
       101:{3,4,5,6}:{(75,1),(126,1),(188,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(80,1),(128,1),(131,1)}
       103:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1),(164,1)}
       104:{2,3,5,6}:{(78,1),(83,1),(126,1),(129,1)}
       105:{2,3,4,7}:{(79,1),(80,1),(121,1),(130,1)}
       106:{2,3,5}:{(79,1),(81,1),(122,1)}
       107:{2,4,5,7}:{(80,1),(81,1),(82,1),(128,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(82,1),(83,1),(129,1),(131,1),(163,1),(183,1),(184,1)}
       109:{1,3,5,6,7}:{(84,1),(85,1),(87,1),(132,1),(133,1),(137,1),(175,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(133,1),(134,1),(178,1)}
       111:{3,4,5,7}:{(86,1),(134,1),(135,1)}
       112:{2,3,6,7}:{(87,1),(89,1),(136,1),(173,1)}
       113:{1,3,4,6,7}:{(87,1),(88,1),(91,1),(133,1),(136,1),(137,1),(142,1),(168,1)}
       114:{2,3,5,7}:{(88,1),(134,1),(137,1),(138,1)}
       115:{2,3,4,6}:{(90,1),(95,1),(139,1),(140,1),(173,1)}
       116:{2,4,7}:{(89,1),(90,1),(91,1)}
       117:{2,4,5}:{(90,1),(92,1),(140,1)}
       118:{1,3,4,5,7}:{(91,1),(92,1),(93,1),(137,1),(141,1),(142,1),(145,1),(174,1),(185,1)}
       119:{2,3,4,6}:{(93,1),(138,1),(142,1),(152,1),(178,1)}
       120:{1,2,4,6,7}:{(94,1),(96,1),(102,1),(136,1),(143,1),(144,1),(146,1)}
       121:{1,3,4,7}:{(95,1),(96,1),(105,1),(139,1),(145,1)}
       122:{1,3,5}:{(95,1),(97,1),(106,1),(140,1)}
       123:{1,2,4,5,7}:{(96,1),(97,1),(107,1),(141,1),(144,1),(145,1),(146,1),(174,1)}
       124:{2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(178,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(148,1),(149,1)}
       126:{2,4,5,6}:{(100,1),(101,1),(104,1),(149,1),(187,1)}
       127:{2,3,4,6,7}:{(102,1),(105,1),(143,1),(147,1),(150,1),(152,1),(178,1)}
       128:{2,5,7}:{(102,1),(103,1),(151,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(149,1),(151,1),(177,1)}
       130:{2,3,5,7}:{(105,1),(106,1),(107,1),(145,1),(152,1)}
       131:{2,4,6}:{(107,1),(108,1),(151,1),(152,1)}
       132:{2,3,5,6,7}:{(109,1),(112,1),(153,1),(157,1),(179,1),(182,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(153,1),(154,1),(183,1)}
       134:{2,4,5,7}:{(110,1),(111,1),(114,1),(154,1),(155,1)}
       135:{3,4,5,6}:{(111,1),(155,1),(184,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(116,1),(157,1),(160,1)}
       137:{1,3,5,7}:{(113,1),(114,1),(154,1),(157,1),(158,1),(179,1)}
       138:{2,3,5,6}:{(114,1),(119,1),(155,1),(158,1)}
       139:{2,3,4,7}:{(115,1),(116,1),(121,1),(159,1)}
       140:{2,3,5}:{(115,1),(117,1),(122,1)}
       141:{2,4,5,7}:{(116,1),(117,1),(118,1),(157,1),(159,1),(160,1)}
       142:{1,3,4,6}:{(118,1),(119,1),(158,1),(160,1),(163,1),(183,1),(188,1)}
       143:{1,3,4,6,7}:{(120,1),(121,1),(127,1),(156,1),(161,1),(163,1),(183,1)}
       144:{1,2,5,7}:{(120,1),(128,1),(157,1),(161,1),(162,1)}
       145:{1,3,5,7}:{(121,1),(122,1),(123,1),(130,1),(159,1),(163,1)}
       146:{1,2,4,6}:{(123,1),(131,1),(160,1),(162,1),(163,1),(183,1)}
       147:{3,4,6,7}:{(124,1),(164,1),(184,1)}
       148:{2,4,5,7}:{(124,1),(125,1),(128,1),(164,1),(165,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(129,1),(165,1),(183,1)}
       150:{2,3,5,7}:{(127,1),(128,1),(161,1),(164,1),(166,1),(167,1)}
       151:{2,5,6}:{(128,1),(129,1),(131,1)}
       152:{2,3,6}:{(130,1),(131,1),(163,1)}
       153:{2,4,6,7}:{(132,1),(133,1),(168,1),(169,1),(187,1)}
       154:{1,4,5,7}:{(133,1),(134,1),(137,1),(169,1),(170,1)}
       155:{2,4,5,6}:{(134,1),(135,1),(138,1),(170,1),(178,1)}
       156:{2,3,4,6,7}:{(136,1),(139,1),(143,1),(168,1),(171,1),(173,1),(187,1)}
       157:{2,5,7}:{(136,1),(137,1),(172,1)}
       158:{1,3,5,6}:{(137,1),(138,1),(142,1),(170,1),(172,1),(186,1)}
       159:{2,3,5,7}:{(139,1),(140,1),(141,1),(145,1),(173,1)}
       160:{2,4,6}:{(141,1),(142,1),(172,1),(173,1)}
       161:{1,3,5,7}:{(143,1),(144,1),(150,1),(171,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(144,1),(146,1),(151,1),(172,1),(175,1)}
       163:{1,3,6}:{(145,1),(146,1),(152,1),(173,1)}
       164:{3,5,7}:{(147,1),(148,1),(177,1)}
       165:{2,4,5,6}:{(148,1),(149,1),(151,1),(177,1),(178,1)}
       166:{2,4,5,7}:{(150,1),(174,1),(176,1),(178,1)}
       167:{2,3,5,6}:{(150,1),(151,1),(152,1),(175,1),(177,1),(178,1)}
       168:{3,4,6,7}:{(153,1),(179,1),(188,1)}
       169:{2,4,5,7}:{(153,1),(154,1),(157,1),(179,1),(180,1)}
       170:{1,4,5,6}:{(154,1),(155,1),(158,1),(180,1),(183,1)}
       171:{2,3,5,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(182,1)}
       172:{2,5,6}:{(157,1),(158,1),(160,1)}
       173:{2,3,6}:{(159,1),(160,1),(163,1)}
       174:{1,4,5,7}:{(161,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,6}:{(161,1),(162,1),(163,1),(167,1),(182,1),(183,1)}
       176:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       177:{3,5,6}:{(164,1),(165,1),(184,1)}
       178:{2,4,6}:{(166,1),(167,1),(183,1),(184,1)}
       179:{3,5,7}:{(168,1),(169,1),(186,1)}
       180:{2,4,5,6}:{(169,1),(170,1),(172,1),(186,1),(187,1)}
       181:{2,4,5,7}:{(171,1),(174,1),(185,1),(187,1)}
       182:{2,3,5,6}:{(171,1),(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,5,6}:{(179,1),(180,1),(188,1)}
       187:{2,4,6}:{(181,1),(182,1),(183,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2866 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(25,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(80,1)}
         4:{1,2,4,5}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(35,1),(39,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(70,1),(75,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(92,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(56,1)}
        12:{1,2,4,6}:{(4,1),(6,1),(22,1),(25,1)}
        13:{1,2,3,6}:{(5,1),(24,1)}
        14:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(52,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(29,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(27,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(36,1),(37,1),(71,1)}
        22:{1,3,4,6}:{(10,1),(12,1),(16,1),(34,1),(35,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(17,1),(35,1),(38,1),(39,1),(64,1),(70,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(36,1),(39,1)}
        25:{1,2,4,7}:{(12,1),(14,1),(37,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(40,1),(69,1)}
        27:{2,3,5,6}:{(16,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(42,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(50,1),(81,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(48,1),(50,1)}
        35:{1,3,5,6}:{(22,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,6}:{(21,1),(24,1),(28,1),(49,1),(53,1)}
        37:{1,3,4,7}:{(22,1),(25,1),(29,1),(50,1),(52,1)}
        38:{1,2,4,5,7}:{(23,1),(25,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,5,6}:{(24,1),(53,1),(56,1)}
        40:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(59,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(30,1),(52,1),(58,1)}
        43:{2,3,5,6}:{(28,1),(53,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(29,1),(54,1),(58,1),(60,1),(86,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,6}:{(33,1),(36,1),(66,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(65,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(70,1),(91,1)}
        52:{1,3,5,7}:{(35,1),(37,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,5,6}:{(36,1),(39,1),(43,1),(66,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(69,1),(71,1),(94,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(71,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(76,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,4,5,6}:{(43,1),(70,1),(75,1),(76,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(71,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(52,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(49,1),(53,1),(80,1),(81,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(54,1),(79,1),(81,1),(98,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,4,5,6}:{(53,1),(59,1),(80,1),(84,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(56,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(60,1),(61,1),(83,1),(86,1),(88,1)}
        75:{3,4,5,6}:{(59,1),(87,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,4,5,6}:{(66,1),(70,1),(91,1),(92,1)}
        81:{2,3,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(71,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(76,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(97,1),(98,1),(104,1)}
        91:{3,4,5,6}:{(80,1),(99,1)}
        92:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(92,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2867 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2868 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(70,1),(100,1),(147,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(147,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(44,1),(93,1),(123,1),(163,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(163,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(96,1),(115,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(29,1),(62,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(29,1),(30,1),(145,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(29,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(107,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(73,1),(88,1),(138,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(129,1),(132,1),(157,1),(166,1)}
        28:{1,2,4,5,6}:{(18,1),(43,1),(44,1),(86,1),(93,1),(130,1),(139,1),(166,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(19,1),(45,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(161,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(45,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(132,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(115,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(54,1),(97,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(54,1),(55,1),(113,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(107,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(106,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(62,1),(69,1),(112,1),(116,1)}
        44:{1,3,5,6}:{(28,1),(30,1),(61,1),(62,1),(63,1),(151,1),(172,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(32,1),(62,1),(64,1)}
        46:{2,3,4,6}:{(30,1),(63,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(62,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(64,1),(67,1),(68,1),(115,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(153,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(107,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(138,1)}
        53:{1,2,4,5,6}:{(38,1),(72,1),(73,1),(121,1),(130,1),(164,1),(166,1),(173,1)}
        54:{2,4,5,7}:{(37,1),(38,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(136,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(132,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(132,1),(139,1),(164,1),(166,1),(173,1)}
        61:{2,3,5,6}:{(44,1),(85,1),(86,1),(136,1),(139,1),(167,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(87,1)}
        63:{1,3,4,6}:{(44,1),(46,1),(86,1),(87,1),(88,1)}
        64:{2,3,4,7}:{(45,1),(46,1),(87,1)}
        65:{2,3,4,5}:{(46,1),(88,1),(161,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(87,1),(90,1),(91,1),(138,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(132,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(54,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(97,1),(144,1),(148,1),(168,1)}
        73:{1,3,5,6}:{(53,1),(55,1),(96,1),(97,1),(98,1),(151,1),(172,1)}
        74:{2,3,5,7}:{(54,1),(55,1),(95,1),(97,1),(99,1)}
        75:{2,3,4,6}:{(55,1),(98,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(107,1)}
        79:{1,2,3,5,6}:{(61,1),(96,1),(104,1),(105,1),(151,1),(154,1),(172,1)}
        80:{1,3,4,5,7}:{(59,1),(106,1),(107,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(153,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(106,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(107,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(62,1),(66,1),(112,1),(116,1)}
        86:{2,4,6}:{(61,1),(63,1),(112,1),(113,1)}
        87:{1,3,4,7}:{(62,1),(63,1),(64,1),(112,1)}
        88:{1,3,4,5}:{(63,1),(65,1),(113,1),(151,1)}
        89:{2,3,4,5,7}:{(64,1),(65,1),(68,1),(106,1),(114,1),(115,1),(170,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(112,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(115,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(153,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(74,1),(118,1),(167,1)}
        96:{2,3,5,6}:{(73,1),(120,1),(121,1),(161,1),(173,1),(174,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(122,1)}
        98:{1,3,4,6}:{(73,1),(75,1),(121,1),(122,1),(123,1)}
        99:{2,3,4,7}:{(74,1),(75,1),(122,1)}
       100:{2,3,4,5}:{(75,1),(123,1),(136,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(132,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(79,1),(81,1),(85,1),(120,1),(129,1),(133,1),(165,1)}
       105:{1,2,4,6}:{(79,1),(86,1),(121,1),(128,1),(129,1),(130,1)}
       106:{2,4,5,7}:{(80,1),(83,1),(131,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(129,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(131,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(132,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,3,4,6}:{(86,1),(128,1),(135,1),(136,1),(167,1)}
       112:{2,4,7}:{(85,1),(86,1),(87,1)}
       113:{2,4,5}:{(86,1),(88,1),(136,1)}
       114:{1,3,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(131,1),(137,1),(138,1),(165,1)}
       115:{2,3,4,6}:{(89,1),(92,1),(132,1),(138,1),(174,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(138,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(97,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(99,1),(102,1),(141,1),(142,1),(147,1)}
       120:{2,3,5,7}:{(96,1),(97,1),(140,1),(144,1),(168,1)}
       121:{2,4,6}:{(96,1),(98,1),(144,1),(145,1)}
       122:{1,3,4,7}:{(97,1),(98,1),(99,1),(144,1)}
       123:{1,3,4,5}:{(98,1),(100,1),(145,1),(151,1)}
       124:{2,3,4,5,7}:{(99,1),(100,1),(106,1),(142,1),(146,1),(147,1),(155,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(153,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(107,1),(149,1),(169,1)}
       128:{1,3,4,6}:{(105,1),(111,1),(143,1),(150,1),(151,1),(172,1)}
       129:{1,2,4,7}:{(104,1),(105,1),(112,1),(144,1),(150,1)}
       130:{1,2,4,5}:{(105,1),(113,1),(145,1),(151,1)}
       131:{1,4,5,7}:{(106,1),(109,1),(153,1)}
       132:{2,4,6}:{(106,1),(107,1),(110,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(153,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(112,1),(150,1),(155,1)}
       136:{2,3,5}:{(111,1),(113,1),(151,1)}
       137:{2,4,5,7}:{(112,1),(113,1),(114,1),(116,1),(155,1),(156,1)}
       138:{1,3,4,6}:{(114,1),(115,1),(117,1),(153,1),(156,1),(172,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(122,1),(125,1),(157,1),(158,1),(163,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,3,4,6}:{(121,1),(128,1),(160,1),(161,1),(174,1)}
       144:{2,4,7}:{(120,1),(121,1),(122,1)}
       145:{2,4,5}:{(121,1),(123,1),(161,1)}
       146:{1,3,4,5,7}:{(122,1),(123,1),(124,1),(131,1),(158,1),(162,1),(163,1),(165,1)}
       147:{2,3,4,6}:{(124,1),(132,1),(159,1),(163,1),(167,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(132,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(129,1),(135,1),(160,1),(165,1)}
       151:{1,3,5}:{(128,1),(130,1),(136,1),(161,1)}
       152:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(133,1),(137,1),(162,1),(165,1),(166,1)}
       153:{1,4,6}:{(131,1),(132,1),(134,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(137,1),(165,1),(167,1)}
       156:{2,4,6}:{(137,1),(138,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(144,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(147,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(144,1),(150,1),(170,1)}
       161:{2,3,5}:{(143,1),(145,1),(151,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(170,1),(171,1)}
       163:{1,3,4,6}:{(146,1),(147,1),(153,1),(169,1),(171,1),(172,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(153,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(152,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(152,1),(153,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(163,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(162,1),(165,1),(174,1)}
       171:{2,4,6}:{(162,1),(163,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2869 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(84,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(14,1),(18,1),(32,1),(40,1),(41,1),(76,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(107,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(48,1),(55,1),(59,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(123,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(26,1),(128,1)}
         6:{1,2,3,5,6,7}:{(11,1),(15,1),(33,1),(64,1),(67,1),(76,1),(77,1),(112,1),(113,1),(142,1),(143,1),(148,1)}
         7:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(65,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(18,1),(37,1),(44,1),(67,1),(76,1),(77,1)}
         9:{2,3,4,6,7}:{(4,1),(14,1),(16,1),(17,1),(77,1),(105,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(141,1)}
        11:{1,2,4,6,7}:{(6,1),(20,1),(21,1),(26,1),(56,1),(86,1),(88,1),(125,1),(131,1),(134,1)}
        12:{1,3,4,5,6,7}:{(22,1),(24,1),(45,1),(52,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(55,1)}
        14:{2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(88,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(55,1),(59,1),(90,1)}
        16:{2,3,4,5,7}:{(9,1),(25,1),(28,1),(29,1),(99,1)}
        17:{1,3,4,6,7}:{(9,1),(10,1),(26,1),(29,1),(30,1),(59,1),(126,1)}
        18:{2,5,6,7}:{(10,1),(30,1),(155,1)}
        19:{1,2,4,5,6,7}:{(31,1),(32,1),(36,1),(63,1),(72,1),(108,1),(109,1),(142,1)}
        20:{1,2,4,5,7}:{(11,1),(32,1),(33,1),(40,1),(66,1),(76,1),(108,1),(142,1)}
        21:{1,3,4,6,7}:{(11,1),(33,1),(34,1),(65,1),(148,1),(149,1)}
        22:{2,4,5,6,7}:{(12,1),(35,1),(36,1),(39,1),(63,1),(72,1)}
        23:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(44,1),(73,1),(81,1)}
        24:{1,3,4,5,6}:{(13,1),(39,1),(65,1),(75,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(37,1),(39,1),(40,1),(76,1)}
        26:{1,4,6,7}:{(14,1),(15,1),(40,1),(110,1)}
        27:{1,2,5,6,7}:{(15,1),(18,1),(41,1),(76,1),(112,1)}
        28:{2,3,4,5,6}:{(16,1),(39,1),(42,1),(105,1),(119,1),(170,1)}
        29:{1,3,4,5,7}:{(16,1),(17,1),(40,1),(42,1),(43,1),(79,1)}
        30:{2,4,6,7}:{(17,1),(18,1),(43,1),(44,1),(144,1)}
        31:{1,3,5,6,7}:{(19,1),(45,1),(46,1),(48,1),(124,1),(130,1)}
        32:{1,2,4,5,6}:{(20,1),(48,1),(57,1),(88,1),(98,1),(128,1),(131,1),(155,1)}
        33:{1,3,5,7}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,6,7}:{(21,1),(49,1),(50,1),(56,1),(88,1),(125,1),(137,1),(138,1),(157,1),(158,1)}
        35:{2,3,5,6,7}:{(22,1),(51,1),(52,1),(54,1)}
        36:{1,4,5,6,7}:{(22,1),(52,1),(57,1),(86,1)}
        37:{2,3,5,7}:{(23,1),(25,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(26,1),(55,1),(56,1),(59,1),(96,1),(101,1)}
        39:{2,4,5,6}:{(24,1),(25,1),(54,1),(57,1),(88,1),(98,1)}
        40:{1,4,5,7}:{(25,1),(26,1),(55,1),(57,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(30,1),(56,1),(58,1),(59,1),(131,1)}
        42:{1,3,4,5,6}:{(28,1),(29,1),(57,1),(60,1),(100,1),(126,1),(173,1)}
        43:{2,4,5,7}:{(29,1),(30,1),(60,1),(61,1)}
        44:{2,3,6,7}:{(30,1),(59,1),(61,1),(157,1)}
        45:{1,3,4,6,7}:{(31,1),(62,1),(63,1),(65,1)}
        46:{2,3,5,6,7}:{(31,1),(63,1),(64,1),(67,1),(72,1),(103,1),(116,1),(142,1),(143,1)}
        47:{1,3,4,5,7}:{(33,1),(65,1),(66,1)}
        48:{1,3,5,6}:{(32,1),(33,1),(65,1),(67,1),(148,1)}
        49:{2,3,5,7}:{(33,1),(34,1),(66,1),(67,1),(68,1),(76,1),(142,1)}
        50:{1,3,4,6,7}:{(34,1),(68,1),(69,1),(110,1),(148,1),(149,1)}
        51:{2,3,4,6,7}:{(35,1),(63,1),(70,1),(71,1),(73,1),(143,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(71,1),(72,1),(75,1)}
        53:{2,3,4,5,7}:{(37,1),(66,1),(73,1),(74,1),(81,1),(122,1),(145,1)}
        54:{2,3,5,6}:{(37,1),(39,1),(73,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(75,1),(76,1)}
        56:{2,4,6,7}:{(38,1),(76,1),(77,1),(117,1),(120,1)}
        57:{1,4,5,6}:{(39,1),(40,1),(75,1),(110,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(76,1),(78,1),(79,1),(120,1)}
        59:{1,3,6,7}:{(41,1),(44,1),(77,1),(79,1),(148,1)}
        60:{2,4,5,6}:{(42,1),(43,1),(80,1),(144,1),(174,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(79,1),(80,1),(81,1)}
        62:{1,3,4,5,7}:{(45,1),(84,1),(85,1),(124,1)}
        63:{2,4,6,7}:{(45,1),(46,1),(85,1),(86,1),(88,1)}
        64:{1,3,5,6,7}:{(46,1),(86,1),(87,1),(90,1),(124,1),(130,1)}
        65:{1,3,4,6}:{(47,1),(48,1),(88,1)}
        66:{2,4,5,7}:{(47,1),(49,1),(88,1),(89,1)}
        67:{2,3,5,6}:{(48,1),(49,1),(88,1),(90,1),(98,1),(137,1),(155,1),(157,1)}
        68:{1,3,5,7}:{(49,1),(50,1),(89,1),(90,1),(91,1)}
        69:{1,2,4,6,7}:{(50,1),(56,1),(91,1),(92,1),(125,1),(131,1),(134,1)}
        70:{2,3,4,5,7}:{(51,1),(85,1),(93,1),(94,1),(156,1)}
        71:{1,3,4,6,7}:{(51,1),(52,1),(86,1),(94,1),(95,1),(96,1),(130,1)}
        72:{2,5,6,7}:{(52,1),(95,1),(98,1)}
        73:{2,3,4,6}:{(53,1),(54,1),(88,1),(96,1),(157,1)}
        74:{1,3,4,5,7}:{(53,1),(55,1),(89,1),(96,1),(97,1),(101,1),(132,1),(140,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(57,1),(96,1),(98,1)}
        76:{2,5,7}:{(55,1),(56,1),(98,1)}
        77:{2,3,6,7}:{(56,1),(59,1),(99,1),(137,1)}
        78:{1,2,4,5,6}:{(57,1),(58,1),(60,1),(98,1),(100,1),(131,1),(139,1),(162,1)}
        79:{1,3,5,7}:{(58,1),(59,1),(61,1),(99,1),(100,1),(101,1)}
        80:{2,3,5,6}:{(60,1),(61,1),(100,1),(102,1),(157,1),(172,1)}
        81:{2,3,4,7}:{(61,1),(101,1),(102,1)}
        82:{2,3,4,6,7}:{(63,1),(103,1),(104,1),(105,1),(116,1),(152,1)}
        83:{2,3,4,5,7}:{(66,1),(103,1),(105,1),(106,1),(118,1),(152,1),(170,1)}
        84:{1,3,4,5,6}:{(62,1),(65,1),(107,1),(141,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(103,1),(107,1),(108,1),(142,1)}
        86:{1,4,6,7}:{(63,1),(64,1),(108,1),(110,1)}
        87:{1,2,5,6,7}:{(64,1),(72,1),(109,1),(112,1),(142,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(110,1)}
        89:{1,4,5,7}:{(66,1),(68,1),(110,1)}
        90:{1,3,5,6}:{(67,1),(68,1),(110,1),(112,1),(148,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(76,1),(112,1),(142,1)}
        92:{1,2,3,6,7}:{(69,1),(77,1),(113,1),(143,1),(148,1)}
        93:{2,3,4,5,6}:{(70,1),(73,1),(107,1),(114,1),(122,1),(165,1)}
        94:{1,3,4,5,7}:{(70,1),(71,1),(108,1),(114,1),(115,1),(147,1)}
        95:{2,4,6,7}:{(71,1),(72,1),(115,1),(116,1),(117,1)}
        96:{1,3,4,6}:{(73,1),(74,1),(75,1),(110,1),(117,1),(148,1)}
        97:{2,4,5,7}:{(74,1),(76,1),(117,1),(118,1),(120,1),(154,1)}
        98:{2,5,6}:{(75,1),(76,1),(117,1)}
        99:{2,3,5,7}:{(76,1),(77,1),(79,1),(119,1),(120,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(80,1),(119,1),(121,1),(148,1),(169,1)}
       101:{1,3,4,7}:{(79,1),(81,1),(120,1),(121,1)}
       102:{2,3,4,6}:{(80,1),(81,1),(121,1),(122,1)}
       103:{2,3,5,7}:{(82,1),(85,1),(123,1),(124,1)}
       104:{1,3,4,6,7}:{(82,1),(86,1),(124,1),(125,1),(126,1),(130,1),(160,1)}
       105:{2,3,4,6}:{(83,1),(88,1),(123,1),(126,1),(137,1)}
       106:{1,3,4,5,7}:{(83,1),(89,1),(124,1),(126,1),(127,1),(132,1),(160,1),(173,1)}
       107:{2,4,5,6}:{(84,1),(85,1),(88,1),(123,1),(128,1),(155,1)}
       108:{1,4,5,7}:{(85,1),(86,1),(124,1),(128,1)}
       109:{1,2,4,6,7}:{(86,1),(87,1),(95,1),(125,1),(129,1),(130,1),(131,1)}
       110:{1,4,6}:{(88,1),(89,1),(90,1)}
       111:{1,2,4,5,7}:{(89,1),(91,1),(97,1),(127,1),(131,1),(132,1),(134,1),(162,1)}
       112:{1,2,5,6}:{(90,1),(91,1),(98,1),(131,1),(155,1)}
       113:{1,2,3,5,7}:{(91,1),(92,1),(99,1),(132,1),(133,1),(134,1),(156,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(96,1),(128,1),(135,1),(140,1),(159,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(135,1),(136,1)}
       116:{2,3,6,7}:{(95,1),(130,1),(136,1),(137,1)}
       117:{2,4,6}:{(96,1),(97,1),(98,1),(137,1)}
       118:{2,3,5,7}:{(97,1),(132,1),(137,1),(138,1),(164,1)}
       119:{2,3,5,6}:{(98,1),(99,1),(100,1),(137,1),(139,1),(164,1)}
       120:{2,4,7}:{(99,1),(101,1),(139,1)}
       121:{1,3,4,6}:{(100,1),(101,1),(102,1),(139,1),(140,1)}
       122:{2,3,4,5}:{(102,1),(140,1),(172,1)}
       123:{2,3,5,6}:{(103,1),(105,1),(107,1),(141,1)}
       124:{1,3,5,7}:{(103,1),(104,1),(108,1),(141,1),(142,1)}
       125:{2,4,6,7}:{(104,1),(142,1),(143,1),(144,1),(166,1)}
       126:{1,3,4,6}:{(105,1),(106,1),(110,1),(141,1),(144,1),(148,1)}
       127:{2,4,5,7}:{(106,1),(142,1),(144,1),(145,1),(166,1),(174,1)}
       128:{1,4,5,6}:{(107,1),(108,1),(110,1),(141,1)}
       129:{1,2,4,5,7}:{(108,1),(109,1),(115,1),(142,1),(146,1),(147,1),(166,1)}
       130:{1,3,6,7}:{(109,1),(116,1),(143,1),(147,1),(148,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(112,1),(117,1),(144,1),(148,1)}
       132:{1,3,5,7}:{(111,1),(118,1),(145,1),(148,1),(149,1),(169,1)}
       133:{1,2,3,5,6}:{(112,1),(113,1),(119,1),(148,1),(150,1),(165,1),(169,1)}
       134:{1,2,4,7}:{(113,1),(120,1),(149,1),(150,1),(166,1)}
       135:{2,4,5,6}:{(114,1),(115,1),(117,1),(151,1),(154,1)}
       136:{2,3,5,7}:{(115,1),(116,1),(147,1),(151,1),(152,1)}
       137:{2,3,6}:{(117,1),(118,1),(148,1)}
       138:{2,3,4,7}:{(118,1),(120,1),(149,1),(153,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(154,1)}
       140:{1,3,4,5}:{(121,1),(122,1),(154,1),(169,1)}
       141:{1,3,5,6}:{(123,1),(124,1),(126,1),(128,1),(155,1)}
       142:{2,5,7}:{(124,1),(125,1),(155,1)}
       143:{2,3,6,7}:{(125,1),(130,1),(156,1),(157,1)}
       144:{2,4,6}:{(126,1),(127,1),(155,1),(157,1)}
       145:{2,3,5,7}:{(127,1),(132,1),(157,1),(158,1),(172,1)}
       146:{1,2,4,5,6}:{(128,1),(129,1),(131,1),(135,1),(155,1),(159,1),(162,1),(171,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(136,1),(156,1),(159,1),(160,1)}
       148:{1,3,6}:{(131,1),(132,1),(137,1),(157,1)}
       149:{1,3,4,7}:{(132,1),(134,1),(138,1),(158,1),(161,1)}
       150:{1,2,4,6}:{(133,1),(134,1),(139,1),(161,1),(162,1),(171,1)}
       151:{2,3,5,6}:{(135,1),(136,1),(137,1),(159,1),(163,1),(164,1)}
       152:{2,3,4,7}:{(136,1),(160,1),(163,1)}
       153:{2,3,4,6}:{(137,1),(138,1),(139,1),(161,1),(164,1)}
       154:{2,4,5}:{(139,1),(140,1),(164,1)}
       155:{2,5,6}:{(141,1),(142,1),(144,1)}
       156:{2,3,5,7}:{(142,1),(143,1),(147,1),(165,1),(166,1)}
       157:{2,3,6}:{(144,1),(145,1),(148,1)}
       158:{2,3,4,7}:{(145,1),(149,1),(166,1),(167,1)}
       159:{1,3,5,6}:{(146,1),(147,1),(148,1),(151,1),(165,1),(168,1),(169,1)}
       160:{1,3,4,7}:{(147,1),(152,1),(166,1),(168,1)}
       161:{1,3,4,6}:{(148,1),(149,1),(150,1),(153,1),(167,1),(169,1)}
       162:{1,2,4,5}:{(150,1),(154,1),(169,1),(174,1)}
       163:{2,3,4,6}:{(151,1),(152,1),(168,1),(170,1)}
       164:{2,3,5}:{(153,1),(154,1),(169,1)}
       165:{2,3,5,6}:{(155,1),(156,1),(157,1),(159,1),(171,1),(172,1)}
       166:{2,4,7}:{(156,1),(160,1),(171,1)}
       167:{2,3,4,6}:{(157,1),(158,1),(161,1),(171,1),(172,1)}
       168:{1,3,4,6}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       169:{1,3,5}:{(161,1),(162,1),(164,1),(172,1)}
       170:{2,3,4,5}:{(163,1),(164,1),(173,1)}
       171:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       172:{2,3,5}:{(167,1),(169,1),(174,1)}
       173:{1,3,4,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,5}:{(171,1),(172,1),(173,1)}

2870 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2871 :   0:{2,3,4,5,6}:{(2,1),(3,1),(41,1),(70,1),(117,1),(165,1)}
         1:{3,4,5,6,7}:{(5,1),(135,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(57,1),(148,1)}
         3:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(27,1),(93,1),(101,1),(141,1),(149,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(43,1),(68,1),(81,1),(180,1)}
         5:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(124,1),(155,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(14,1),(76,1),(117,1),(124,1)}
         7:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(39,1),(75,1),(125,1)}
         8:{2,4,5,6}:{(3,1),(15,1),(17,1),(119,1),(160,1)}
         9:{3,4,5,6,7}:{(18,1),(101,1),(168,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(89,1),(169,1)}
        11:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(49,1),(61,1),(107,1),(135,1),(170,1)}
        12:{2,3,5,6,7}:{(5,1),(6,1),(22,1),(138,1)}
        13:{1,4,5,6,7}:{(5,1),(22,1),(23,1),(99,1),(170,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(22,1),(24,1),(54,1),(55,1),(99,1),(141,1)}
        15:{2,4,5,7}:{(7,1),(8,1),(24,1),(26,1)}
        16:{1,2,4,5,6}:{(8,1),(25,1),(27,1),(60,1),(97,1),(146,1),(149,1),(151,1)}
        17:{2,3,5,6}:{(8,1),(26,1),(27,1),(28,1),(142,1),(173,1)}
        18:{2,4,5,6,7}:{(9,1),(29,1),(30,1),(126,1),(153,1)}
        19:{2,3,4,6,7}:{(10,1),(29,1),(31,1),(81,1),(112,1),(153,1)}
        20:{1,3,4,5,7}:{(10,1),(11,1),(31,1),(32,1),(66,1),(111,1),(154,1)}
        21:{2,4,5,6}:{(11,1),(32,1),(34,1),(83,1),(131,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(14,1),(35,1),(36,1),(158,1)}
        23:{2,4,5,6,7}:{(13,1),(35,1),(36,1),(74,1),(180,1)}
        24:{2,4,6,7}:{(14,1),(15,1),(35,1),(38,1),(160,1)}
        25:{1,2,4,5,7}:{(15,1),(16,1),(37,1),(39,1),(79,1),(125,1),(128,1)}
        26:{2,3,5,7}:{(15,1),(17,1),(38,1),(39,1),(40,1)}
        27:{1,3,5,6}:{(16,1),(17,1),(39,1),(41,1),(42,1),(123,1),(163,1)}
        28:{2,3,4,6}:{(17,1),(40,1),(42,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(44,1),(104,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(45,1),(133,1),(149,1)}
        31:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(46,1),(86,1),(87,1),(107,1),(133,1)}
        32:{2,4,5,7}:{(20,1),(21,1),(46,1),(48,1)}
        33:{1,2,4,5,6}:{(21,1),(47,1),(49,1),(92,1),(97,1),(146,1),(170,1),(172,1)}
        34:{2,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(108,1),(152,1)}
        35:{2,5,6,7}:{(22,1),(24,1),(172,1)}
        36:{3,5,6,7}:{(23,1),(54,1),(186,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(55,1),(99,1),(102,1),(146,1)}
        38:{2,3,6,7}:{(24,1),(26,1),(55,1),(173,1)}
        39:{1,3,5,7}:{(25,1),(26,1),(27,1),(55,1),(57,1),(58,1)}
        40:{2,3,4,7}:{(26,1),(28,1),(58,1)}
        41:{2,3,5,6}:{(27,1),(57,1),(60,1),(108,1),(151,1),(152,1)}
        42:{1,3,4,6}:{(27,1),(28,1),(58,1),(60,1),(61,1)}
        43:{2,3,4,5}:{(28,1),(61,1),(142,1)}
        44:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(62,1),(63,1),(129,1)}
        45:{2,4,5,6,7}:{(30,1),(62,1),(63,1),(110,1),(165,1)}
        46:{2,4,6,7}:{(31,1),(32,1),(62,1),(65,1),(131,1)}
        47:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(115,1),(154,1),(157,1)}
        48:{2,3,5,7}:{(32,1),(34,1),(65,1),(66,1),(67,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(66,1),(68,1),(69,1),(123,1),(163,1)}
        50:{2,3,4,6}:{(34,1),(67,1),(69,1),(70,1)}
        51:{1,2,3,5,6}:{(41,1),(68,1),(71,1),(72,1),(123,1),(162,1),(163,1)}
        52:{1,2,5,6,7}:{(35,1),(37,1),(73,1),(128,1),(162,1)}
        53:{2,3,5,6,7}:{(35,1),(36,1),(38,1),(73,1),(74,1),(78,1),(182,1)}
        54:{3,4,6,7}:{(36,1),(74,1),(75,1),(188,1)}
        55:{1,3,6,7}:{(37,1),(38,1),(39,1),(76,1),(163,1)}
        56:{2,3,4,6,7}:{(38,1),(40,1),(74,1),(77,1),(78,1),(81,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(76,1),(79,1),(128,1)}
        58:{1,3,4,7}:{(39,1),(40,1),(42,1),(79,1)}
        59:{2,3,4,5,7}:{(40,1),(43,1),(78,1),(80,1),(81,1),(159,1),(181,1)}
        60:{2,4,6}:{(41,1),(42,1),(79,1),(83,1)}
        61:{1,3,4,5}:{(42,1),(43,1),(83,1),(123,1)}
        62:{2,5,6,7}:{(44,1),(46,1),(151,1)}
        63:{3,5,6,7}:{(45,1),(86,1),(177,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(84,1),(87,1),(133,1),(136,1),(146,1)}
        65:{2,3,6,7}:{(46,1),(48,1),(87,1),(152,1)}
        66:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(89,1),(90,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(90,1)}
        68:{2,3,5,6}:{(49,1),(89,1),(92,1),(142,1),(172,1),(173,1)}
        69:{1,3,4,6}:{(49,1),(50,1),(90,1),(92,1),(93,1)}
        70:{2,3,4,5}:{(50,1),(93,1),(108,1)}
        71:{1,2,3,5,7}:{(51,1),(57,1),(89,1),(94,1),(95,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(51,1),(60,1),(92,1),(95,1),(96,1),(97,1)}
        73:{1,3,5,6,7}:{(52,1),(53,1),(55,1),(98,1),(99,1),(103,1),(175,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(99,1),(100,1),(187,1)}
        75:{3,4,5,7}:{(54,1),(100,1),(101,1)}
        76:{2,3,6,7}:{(55,1),(57,1),(102,1),(152,1)}
        77:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(99,1),(102,1),(103,1),(107,1),(147,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,4,7}:{(57,1),(58,1),(60,1)}
        80:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(103,1),(106,1),(107,1),(145,1),(174,1),(176,1)}
        81:{2,3,4,6}:{(59,1),(104,1),(107,1),(173,1),(187,1)}
        82:{2,3,4,6}:{(60,1),(96,1),(105,1),(108,1),(152,1)}
        83:{2,4,5}:{(60,1),(61,1),(108,1)}
        84:{1,2,5,6,7}:{(62,1),(64,1),(109,1),(157,1),(162,1)}
        85:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1),(114,1),(167,1)}
        86:{3,4,6,7}:{(63,1),(110,1),(111,1),(184,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(66,1),(112,1),(163,1)}
        88:{2,3,4,6,7}:{(65,1),(67,1),(110,1),(113,1),(114,1),(117,1)}
        89:{2,3,5,7}:{(66,1),(68,1),(112,1),(115,1),(157,1)}
        90:{1,3,4,7}:{(66,1),(67,1),(69,1),(115,1)}
        91:{2,3,4,5,7}:{(67,1),(70,1),(114,1),(116,1),(117,1),(130,1),(166,1)}
        92:{2,4,6}:{(68,1),(69,1),(115,1),(119,1)}
        93:{1,3,4,5}:{(69,1),(70,1),(119,1),(123,1)}
        94:{1,2,3,6,7}:{(71,1),(76,1),(112,1),(120,1),(163,1)}
        95:{1,2,4,7}:{(71,1),(72,1),(79,1),(115,1),(121,1)}
        96:{1,3,4,6}:{(72,1),(82,1),(118,1),(121,1),(123,1),(163,1)}
        97:{1,2,4,5}:{(72,1),(83,1),(119,1),(123,1)}
        98:{2,3,5,6,7}:{(73,1),(76,1),(124,1),(128,1),(164,1),(167,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(124,1),(125,1),(183,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(125,1),(126,1)}
       101:{3,4,5,6}:{(75,1),(126,1),(188,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(79,1),(128,1),(131,1)}
       103:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1),(164,1)}
       104:{2,3,5,6}:{(78,1),(81,1),(126,1),(129,1)}
       105:{2,3,4,7}:{(79,1),(82,1),(121,1),(130,1)}
       106:{2,4,5,7}:{(79,1),(80,1),(83,1),(128,1),(130,1),(131,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(129,1),(131,1),(163,1),(183,1),(184,1)}
       108:{2,3,5}:{(82,1),(83,1),(123,1)}
       109:{1,3,5,6,7}:{(84,1),(85,1),(87,1),(132,1),(133,1),(137,1),(175,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(133,1),(134,1),(178,1)}
       111:{3,4,5,7}:{(86,1),(134,1),(135,1)}
       112:{2,3,6,7}:{(87,1),(89,1),(136,1),(173,1)}
       113:{1,3,4,6,7}:{(87,1),(88,1),(90,1),(133,1),(136,1),(137,1),(141,1),(168,1)}
       114:{2,3,5,7}:{(88,1),(134,1),(137,1),(138,1)}
       115:{2,4,7}:{(89,1),(90,1),(92,1)}
       116:{1,3,4,5,7}:{(90,1),(91,1),(93,1),(137,1),(140,1),(141,1),(145,1),(174,1),(185,1)}
       117:{2,3,4,6}:{(91,1),(138,1),(141,1),(152,1),(178,1)}
       118:{2,3,4,6}:{(92,1),(96,1),(139,1),(142,1),(173,1)}
       119:{2,4,5}:{(92,1),(93,1),(142,1)}
       120:{1,2,4,6,7}:{(94,1),(95,1),(102,1),(136,1),(143,1),(144,1),(146,1)}
       121:{1,3,4,7}:{(95,1),(96,1),(105,1),(139,1),(145,1)}
       122:{1,2,4,5,7}:{(95,1),(97,1),(106,1),(140,1),(144,1),(145,1),(146,1),(174,1)}
       123:{1,3,5}:{(96,1),(97,1),(108,1),(142,1)}
       124:{2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(178,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(148,1),(149,1)}
       126:{2,4,5,6}:{(100,1),(101,1),(104,1),(149,1),(187,1)}
       127:{2,3,4,6,7}:{(102,1),(105,1),(143,1),(147,1),(150,1),(152,1),(178,1)}
       128:{2,5,7}:{(102,1),(103,1),(151,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(107,1),(149,1),(151,1),(177,1)}
       130:{2,3,5,7}:{(105,1),(106,1),(108,1),(145,1),(152,1)}
       131:{2,4,6}:{(106,1),(107,1),(151,1),(152,1)}
       132:{2,3,5,6,7}:{(109,1),(112,1),(153,1),(157,1),(179,1),(182,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(153,1),(154,1),(183,1)}
       134:{2,4,5,7}:{(110,1),(111,1),(114,1),(154,1),(155,1)}
       135:{3,4,5,6}:{(111,1),(155,1),(184,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(115,1),(157,1),(160,1)}
       137:{1,3,5,7}:{(113,1),(114,1),(154,1),(157,1),(158,1),(179,1)}
       138:{2,3,5,6}:{(114,1),(117,1),(155,1),(158,1)}
       139:{2,3,4,7}:{(115,1),(118,1),(121,1),(159,1)}
       140:{2,4,5,7}:{(115,1),(116,1),(119,1),(157,1),(159,1),(160,1)}
       141:{1,3,4,6}:{(116,1),(117,1),(158,1),(160,1),(163,1),(183,1),(188,1)}
       142:{2,3,5}:{(118,1),(119,1),(123,1)}
       143:{1,3,4,6,7}:{(120,1),(121,1),(127,1),(156,1),(161,1),(163,1),(183,1)}
       144:{1,2,5,7}:{(120,1),(128,1),(157,1),(161,1),(162,1)}
       145:{1,3,5,7}:{(121,1),(122,1),(123,1),(130,1),(159,1),(163,1)}
       146:{1,2,4,6}:{(122,1),(131,1),(160,1),(162,1),(163,1),(183,1)}
       147:{3,4,6,7}:{(124,1),(164,1),(184,1)}
       148:{2,4,5,7}:{(124,1),(125,1),(128,1),(164,1),(165,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(129,1),(165,1),(183,1)}
       150:{2,3,5,7}:{(127,1),(128,1),(161,1),(164,1),(166,1),(167,1)}
       151:{2,5,6}:{(128,1),(129,1),(131,1)}
       152:{2,3,6}:{(130,1),(131,1),(163,1)}
       153:{2,4,6,7}:{(132,1),(133,1),(168,1),(169,1),(187,1)}
       154:{1,4,5,7}:{(133,1),(134,1),(137,1),(169,1),(170,1)}
       155:{2,4,5,6}:{(134,1),(135,1),(138,1),(170,1),(178,1)}
       156:{2,3,4,6,7}:{(136,1),(139,1),(143,1),(168,1),(171,1),(173,1),(187,1)}
       157:{2,5,7}:{(136,1),(137,1),(172,1)}
       158:{1,3,5,6}:{(137,1),(138,1),(141,1),(170,1),(172,1),(186,1)}
       159:{2,3,5,7}:{(139,1),(140,1),(142,1),(145,1),(173,1)}
       160:{2,4,6}:{(140,1),(141,1),(172,1),(173,1)}
       161:{1,3,5,7}:{(143,1),(144,1),(150,1),(171,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(144,1),(146,1),(151,1),(172,1),(175,1)}
       163:{1,3,6}:{(145,1),(146,1),(152,1),(173,1)}
       164:{3,5,7}:{(147,1),(148,1),(177,1)}
       165:{2,4,5,6}:{(148,1),(149,1),(151,1),(177,1),(178,1)}
       166:{2,4,5,7}:{(150,1),(174,1),(176,1),(178,1)}
       167:{2,3,5,6}:{(150,1),(151,1),(152,1),(175,1),(177,1),(178,1)}
       168:{3,4,6,7}:{(153,1),(179,1),(188,1)}
       169:{2,4,5,7}:{(153,1),(154,1),(157,1),(179,1),(180,1)}
       170:{1,4,5,6}:{(154,1),(155,1),(158,1),(180,1),(183,1)}
       171:{2,3,5,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(182,1)}
       172:{2,5,6}:{(157,1),(158,1),(160,1)}
       173:{2,3,6}:{(159,1),(160,1),(163,1)}
       174:{1,4,5,7}:{(161,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,6}:{(161,1),(162,1),(163,1),(167,1),(182,1),(183,1)}
       176:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       177:{3,5,6}:{(164,1),(165,1),(184,1)}
       178:{2,4,6}:{(166,1),(167,1),(183,1),(184,1)}
       179:{3,5,7}:{(168,1),(169,1),(186,1)}
       180:{2,4,5,6}:{(169,1),(170,1),(172,1),(186,1),(187,1)}
       181:{2,4,5,7}:{(171,1),(174,1),(185,1),(187,1)}
       182:{2,3,5,6}:{(171,1),(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,5,6}:{(179,1),(180,1),(188,1)}
       187:{2,4,6}:{(181,1),(182,1),(183,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2872 :   0:{3,4,5,6,7}:{(1,1),(81,1),(163,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(61,1),(175,1)}
         2:{2,3,4,5,6}:{(5,1),(6,1),(35,1),(103,1),(114,1),(155,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(169,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(9,1),(44,1),(183,1)}
         5:{2,3,4,5,7}:{(2,1),(7,1),(10,1),(51,1),(82,1)}
         6:{1,3,4,5,6}:{(2,1),(10,1),(11,1),(24,1),(46,1),(83,1),(132,1),(168,1)}
         7:{2,3,4,6,7}:{(3,1),(5,1),(12,1),(57,1),(61,1),(155,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(14,1),(178,1)}
         9:{2,4,5,6,7}:{(4,1),(13,1),(14,1),(31,1),(187,1)}
        10:{1,3,4,5,7}:{(5,1),(6,1),(12,1),(16,1),(32,1),(36,1),(62,1)}
        11:{2,4,5,6}:{(6,1),(16,1),(17,1),(149,1),(177,1)}
        12:{1,3,4,6,7}:{(7,1),(8,1),(10,1),(18,1),(21,1),(40,1),(44,1),(168,1)}
        13:{2,5,6,7}:{(8,1),(18,1),(184,1)}
        14:{3,5,6,7}:{(9,1),(21,1),(188,1)}
        15:{1,2,4,5,6}:{(11,1),(23,1),(24,1),(52,1),(83,1),(88,1),(122,1),(134,1)}
        16:{2,4,5,7}:{(10,1),(11,1),(18,1),(25,1)}
        17:{2,3,5,6}:{(11,1),(24,1),(25,1),(26,1),(129,1),(166,1)}
        18:{2,4,6,7}:{(12,1),(13,1),(16,1),(28,1),(177,1)}
        19:{1,2,5,6,7}:{(13,1),(27,1),(30,1),(99,1),(141,1)}
        20:{2,3,5,6,7}:{(13,1),(14,1),(28,1),(30,1),(31,1),(59,1),(172,1)}
        21:{3,4,6,7}:{(14,1),(31,1),(32,1),(186,1)}
        22:{2,3,4,5,6}:{(33,1),(34,1),(39,1),(74,1),(104,1),(187,1)}
        23:{1,2,4,5,7}:{(15,1),(16,1),(27,1),(36,1),(62,1),(71,1),(99,1)}
        24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(37,1),(110,1),(153,1)}
        25:{2,3,5,7}:{(16,1),(17,1),(28,1),(36,1),(38,1)}
        26:{2,3,4,6}:{(17,1),(37,1),(38,1),(39,1)}
        27:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(40,1),(44,1),(77,1),(134,1)}
        28:{2,3,6,7}:{(18,1),(25,1),(40,1),(166,1)}
        29:{3,4,5,6,7}:{(42,1),(46,1),(179,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(44,1),(78,1),(160,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(182,1)}
        32:{3,4,5,7}:{(21,1),(45,1),(46,1)}
        33:{2,3,4,5,7}:{(22,1),(48,1),(49,1),(126,1),(181,1)}
        34:{1,3,4,5,6}:{(22,1),(49,1),(50,1),(54,1),(85,1),(95,1),(163,1),(183,1)}
        35:{2,3,5,6}:{(24,1),(51,1),(52,1),(93,1),(122,1),(137,1)}
        36:{1,3,5,7}:{(23,1),(24,1),(25,1),(40,1),(51,1),(53,1)}
        37:{1,3,4,6}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{2,3,4,7}:{(25,1),(26,1),(53,1)}
        39:{2,3,4,5}:{(26,1),(54,1),(129,1)}
        40:{1,3,6,7}:{(27,1),(28,1),(36,1),(57,1),(153,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(38,1),(58,1),(59,1),(74,1)}
        42:{2,4,5,6,7}:{(29,1),(56,1),(60,1),(63,1),(170,1)}
        43:{2,3,5,6,7}:{(30,1),(57,1),(61,1),(99,1),(102,1),(144,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(61,1),(62,1),(174,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(59,1),(62,1),(63,1)}
        46:{3,4,5,6}:{(32,1),(63,1),(186,1)}
        47:{1,2,3,5,6}:{(35,1),(65,1),(66,1),(104,1),(110,1),(141,1),(153,1)}
        48:{2,3,4,6,7}:{(33,1),(56,1),(67,1),(74,1),(147,1),(170,1)}
        49:{1,3,4,5,7}:{(33,1),(34,1),(67,1),(68,1),(107,1),(145,1),(173,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1),(72,1),(116,1)}
        51:{2,3,5,7}:{(35,1),(36,1),(57,1),(71,1),(99,1)}
        52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1)}
        53:{1,3,4,7}:{(36,1),(37,1),(38,1),(71,1)}
        54:{1,3,4,5}:{(37,1),(39,1),(72,1),(110,1)}
        55:{2,3,4,5,7}:{(38,1),(39,1),(59,1),(73,1),(74,1),(150,1),(171,1)}
        56:{2,3,5,6,7}:{(42,1),(48,1),(76,1),(79,1)}
        57:{2,3,6,7}:{(40,1),(51,1),(77,1),(137,1)}
        58:{1,3,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(77,1),(78,1),(81,1),(95,1)}
        59:{2,3,5,7}:{(41,1),(45,1),(78,1),(79,1)}
        60:{1,4,5,6,7}:{(42,1),(76,1),(80,1),(83,1),(158,1)}
        61:{2,4,6,7}:{(43,1),(44,1),(81,1),(82,1),(162,1)}
        62:{1,4,5,7}:{(44,1),(45,1),(78,1),(82,1),(83,1)}
        63:{2,4,5,6}:{(45,1),(46,1),(79,1),(83,1),(182,1)}
        64:{1,2,4,5,6}:{(50,1),(84,1),(85,1),(88,1),(127,1),(134,1),(183,1),(184,1)}
        65:{1,2,3,5,7}:{(47,1),(51,1),(75,1),(87,1),(119,1),(126,1),(133,1)}
        66:{1,2,4,6}:{(47,1),(52,1),(86,1),(87,1),(88,1),(127,1)}
        67:{1,3,4,6,7}:{(48,1),(49,1),(76,1),(89,1),(95,1),(123,1),(130,1),(158,1)}
        68:{2,4,5,7}:{(49,1),(50,1),(89,1),(90,1)}
        69:{2,3,5,6}:{(50,1),(85,1),(90,1),(91,1),(93,1),(137,1)}
        70:{2,3,4,6}:{(52,1),(86,1),(92,1),(93,1),(137,1)}
        71:{2,4,7}:{(51,1),(52,1),(53,1)}
        72:{2,4,5}:{(52,1),(54,1),(93,1)}
        73:{1,3,4,5,7}:{(53,1),(54,1),(55,1),(78,1),(94,1),(95,1),(124,1),(133,1),(159,1)}
        74:{2,3,4,6}:{(55,1),(79,1),(95,1),(166,1),(182,1)}
        75:{1,2,3,6,7}:{(57,1),(65,1),(96,1),(147,1),(153,1)}
        76:{1,3,5,6,7}:{(56,1),(60,1),(67,1),(97,1),(100,1),(101,1)}
        77:{2,4,6,7}:{(57,1),(58,1),(71,1),(99,1),(116,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(62,1),(99,1),(100,1),(102,1)}
        79:{2,3,5,6}:{(59,1),(63,1),(74,1),(100,1)}
        80:{2,4,5,6,7}:{(60,1),(97,1),(101,1),(103,1),(142,1)}
        81:{3,4,6,7}:{(61,1),(102,1),(146,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(99,1),(102,1),(103,1)}
        83:{1,4,5,6}:{(62,1),(63,1),(100,1),(103,1),(174,1)}
        84:{1,2,4,5,7}:{(64,1),(68,1),(106,1),(107,1),(148,1),(173,1),(176,1)}
        85:{1,3,5,6}:{(64,1),(69,1),(104,1),(107,1),(108,1),(110,1),(153,1)}
        86:{1,3,4,6}:{(66,1),(70,1),(105,1),(109,1),(110,1),(153,1)}
        87:{1,2,4,7}:{(65,1),(66,1),(71,1),(109,1),(148,1)}
        88:{1,2,4,5}:{(66,1),(72,1),(110,1),(149,1)}
        89:{2,4,6,7}:{(67,1),(68,1),(97,1),(112,1),(116,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(107,1),(112,1),(113,1)}
        91:{2,3,4,6}:{(69,1),(108,1),(113,1),(114,1)}
        92:{2,3,4,7}:{(70,1),(71,1),(109,1),(115,1)}
        93:{2,3,5}:{(70,1),(72,1),(110,1)}
        94:{2,4,5,7}:{(71,1),(72,1),(73,1),(99,1),(115,1),(116,1)}
        95:{1,3,4,6}:{(73,1),(74,1),(100,1),(116,1),(146,1),(153,1),(174,1)}
        96:{1,2,4,6,7}:{(75,1),(77,1),(87,1),(118,1),(119,1),(134,1),(164,1)}
        97:{2,5,6,7}:{(76,1),(89,1),(122,1)}
        98:{2,3,4,6,7}:{(77,1),(81,1),(92,1),(118,1),(121,1),(137,1),(162,1)}
        99:{2,5,7}:{(77,1),(78,1),(122,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(83,1),(95,1),(122,1),(125,1)}
       101:{3,5,6,7}:{(80,1),(123,1),(125,1)}
       102:{3,5,7}:{(81,1),(82,1),(125,1)}
       103:{2,4,5,6}:{(82,1),(83,1),(122,1),(125,1),(162,1)}
       104:{2,3,5,6}:{(85,1),(126,1),(127,1),(129,1),(166,1),(184,1)}
       105:{2,3,4,6}:{(86,1),(127,1),(128,1),(129,1),(166,1)}
       106:{1,2,4,6,7}:{(84,1),(89,1),(117,1),(130,1),(134,1),(158,1),(164,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(90,1),(126,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(85,1),(91,1),(127,1),(131,1),(132,1)}
       109:{1,3,4,7}:{(86,1),(87,1),(92,1),(128,1),(133,1)}
       110:{1,3,5}:{(86,1),(88,1),(93,1),(129,1)}
       111:{1,2,4,5,7}:{(87,1),(88,1),(94,1),(119,1),(133,1),(134,1),(159,1),(165,1)}
       112:{2,3,6,7}:{(89,1),(90,1),(130,1),(137,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(131,1)}
       114:{2,3,4,5}:{(91,1),(93,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(94,1),(133,1),(137,1)}
       116:{2,4,6}:{(94,1),(95,1),(122,1),(137,1)}
       117:{1,2,5,6,7}:{(97,1),(106,1),(139,1),(141,1),(176,1)}
       118:{1,3,4,6,7}:{(96,1),(98,1),(109,1),(138,1),(140,1),(153,1),(174,1)}
       119:{1,2,5,7}:{(96,1),(99,1),(140,1),(141,1),(176,1)}
       120:{2,3,5,6,7}:{(97,1),(101,1),(112,1),(139,1),(142,1),(144,1),(154,1)}
       121:{2,3,5,7}:{(98,1),(99,1),(102,1),(140,1),(143,1),(144,1)}
       122:{2,5,6}:{(99,1),(100,1),(116,1)}
       123:{3,4,6,7}:{(101,1),(142,1),(145,1),(146,1)}
       124:{3,4,5,7}:{(102,1),(143,1),(146,1)}
       125:{3,5,6}:{(102,1),(103,1),(146,1)}
       126:{2,3,5,7}:{(104,1),(107,1),(147,1),(148,1),(176,1)}
       127:{2,4,6}:{(104,1),(108,1),(148,1),(149,1)}
       128:{2,3,4,7}:{(105,1),(109,1),(148,1),(150,1)}
       129:{2,3,5}:{(105,1),(110,1),(149,1)}
       130:{1,3,6,7}:{(106,1),(107,1),(112,1),(147,1),(153,1)}
       131:{1,3,4,7}:{(107,1),(108,1),(113,1),(148,1)}
       132:{1,3,4,5}:{(108,1),(110,1),(114,1),(149,1)}
       133:{1,3,5,7}:{(109,1),(110,1),(111,1),(115,1),(150,1),(153,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(141,1),(153,1),(174,1),(177,1)}
       135:{2,3,4,6,7}:{(112,1),(113,1),(142,1),(151,1),(154,1),(155,1)}
       136:{2,3,4,5,7}:{(113,1),(114,1),(115,1),(143,1),(152,1),(154,1),(155,1)}
       137:{2,3,6}:{(115,1),(116,1),(153,1)}
       138:{2,3,4,6,7}:{(118,1),(128,1),(157,1),(164,1),(166,1),(179,1),(182,1)}
       139:{1,3,5,6,7}:{(117,1),(120,1),(130,1),(156,1),(158,1),(160,1),(167,1)}
       140:{1,3,5,7}:{(118,1),(119,1),(121,1),(157,1),(159,1),(160,1)}
       141:{1,2,5,6}:{(119,1),(122,1),(134,1),(160,1),(184,1)}
       142:{2,4,6,7}:{(120,1),(123,1),(158,1),(161,1),(162,1)}
       143:{2,4,5,7}:{(121,1),(124,1),(159,1),(162,1)}
       144:{2,3,5,6}:{(121,1),(122,1),(125,1),(137,1),(160,1),(162,1)}
       145:{3,4,5,7}:{(123,1),(161,1),(163,1)}
       146:{3,4,6}:{(124,1),(125,1),(162,1)}
       147:{2,3,6,7}:{(126,1),(130,1),(164,1),(166,1)}
       148:{2,4,7}:{(126,1),(127,1),(131,1)}
       149:{2,4,5}:{(127,1),(129,1),(132,1)}
       150:{2,3,5,7}:{(128,1),(129,1),(133,1),(165,1),(166,1)}
       151:{1,3,4,6,7}:{(130,1),(131,1),(135,1),(158,1),(164,1),(167,1),(168,1),(179,1)}
       152:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(159,1),(165,1),(167,1),(168,1),(180,1)}
       153:{1,3,6}:{(133,1),(134,1),(137,1),(166,1)}
       154:{2,3,5,7}:{(135,1),(161,1),(167,1),(169,1)}
       155:{2,3,4,6}:{(136,1),(137,1),(162,1),(168,1),(169,1)}
       156:{2,3,5,6,7}:{(139,1),(147,1),(170,1),(172,1),(176,1),(185,1)}
       157:{2,3,5,7}:{(138,1),(140,1),(171,1),(172,1),(176,1),(185,1)}
       158:{1,4,6,7}:{(139,1),(142,1),(170,1),(173,1),(174,1)}
       159:{1,4,5,7}:{(140,1),(143,1),(171,1),(174,1)}
       160:{1,3,5,6}:{(140,1),(141,1),(144,1),(153,1),(172,1),(174,1)}
       161:{2,4,5,7}:{(142,1),(145,1),(154,1),(173,1),(175,1)}
       162:{2,4,6}:{(143,1),(144,1),(146,1),(174,1)}
       163:{3,4,5,6}:{(145,1),(146,1),(175,1)}
       164:{2,4,6,7}:{(147,1),(148,1),(151,1),(176,1),(177,1)}
       165:{2,4,5,7}:{(148,1),(149,1),(150,1),(152,1),(176,1),(177,1)}
       166:{2,3,6}:{(150,1),(153,1),(177,1)}
       167:{1,3,5,7}:{(151,1),(154,1),(173,1),(176,1),(178,1),(185,1)}
       168:{1,3,4,6}:{(152,1),(153,1),(155,1),(174,1),(177,1),(178,1),(186,1)}
       169:{2,3,5,6}:{(154,1),(155,1),(175,1),(178,1)}
       170:{2,4,6,7}:{(156,1),(158,1),(179,1),(181,1),(182,1)}
       171:{2,4,5,7}:{(157,1),(159,1),(180,1),(182,1)}
       172:{2,3,5,6}:{(157,1),(160,1),(166,1),(182,1),(184,1),(188,1)}
       173:{1,4,5,7}:{(158,1),(161,1),(167,1),(181,1),(183,1)}
       174:{1,4,6}:{(159,1),(160,1),(162,1),(182,1)}
       175:{2,4,5,6}:{(161,1),(162,1),(163,1),(169,1),(183,1)}
       176:{2,5,7}:{(164,1),(167,1),(184,1)}
       177:{2,4,6}:{(165,1),(166,1),(168,1),(184,1)}
       178:{1,3,5,6}:{(167,1),(168,1),(169,1),(183,1),(184,1),(188,1)}
       179:{3,4,6,7}:{(170,1),(185,1),(186,1)}
       180:{3,4,5,7}:{(171,1),(185,1),(186,1)}
       181:{2,4,5,7}:{(170,1),(173,1),(176,1),(185,1),(187,1)}
       182:{2,4,6}:{(171,1),(172,1),(174,1),(186,1)}
       183:{1,4,5,6}:{(173,1),(174,1),(175,1),(178,1),(187,1)}
       184:{2,5,6}:{(176,1),(177,1),(178,1)}
       185:{3,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,4,6}:{(180,1),(182,1),(188,1)}
       187:{2,4,5,6}:{(181,1),(182,1),(183,1),(184,1),(188,1)}
       188:{3,5,6}:{(185,1),(186,1),(187,1)}

2873 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(68,1),(92,1)}
        3:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(9,1),(26,1),(29,1),(54,1),(83,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,3,6}:{(2,1),(8,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(27,1),(31,1),(56,1)}
        7:{1,3,4,5,7}:{(3,1),(6,1),(13,1),(14,1),(17,1),(35,1),(39,1),(41,1),(70,1)}
        8:{1,2,4,6}:{(3,1),(5,1),(14,1),(15,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(37,1)}
       11:{1,2,3,6,7}:{(5,1),(16,1),(19,1),(65,1),(92,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(27,1),(46,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(12,1),(22,1),(23,1)}
       15:{1,2,5,6}:{(8,1),(23,1),(26,1)}
       16:{1,2,4,6,7}:{(8,1),(11,1),(24,1),(26,1),(29,1),(83,1),(96,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(28,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
       19:{1,2,3,5,7}:{(10,1),(11,1),(26,1),(29,1),(52,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(30,1),(31,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(31,1),(56,1),(57,1),(79,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(32,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(20,1),(32,1),(34,1),(35,1)}
       24:{1,3,4,6,7}:{(14,1),(16,1),(21,1),(33,1),(35,1),(41,1),(62,1),(65,1),(70,1),(90,1)}
       25:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(37,1),(38,1),(63,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(35,1)}
       27:{2,3,4,5}:{(17,1),(39,1),(40,1)}
       28:{1,3,4,6}:{(17,1),(18,1),(37,1),(40,1),(41,1)}
       29:{1,2,4,7}:{(18,1),(19,1),(41,1)}
       30:{2,4,5,6}:{(20,1),(34,1),(43,1),(44,1)}
       31:{2,3,5,7}:{(20,1),(21,1),(35,1),(44,1)}
       32:{2,3,5,6}:{(22,1),(23,1),(45,1),(46,1)}
       33:{2,3,4,6,7}:{(22,1),(24,1),(46,1),(56,1),(73,1),(79,1)}
       34:{1,4,5,6}:{(23,1),(30,1),(45,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(31,1),(46,1),(49,1)}
       36:{1,2,5,6,7}:{(26,1),(47,1),(50,1),(94,1),(96,1)}
       37:{1,3,5,6}:{(25,1),(28,1),(51,1),(52,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(50,1),(52,1),(78,1)}
       39:{1,3,4,5}:{(27,1),(54,1),(55,1)}
       40:{2,3,4,6}:{(27,1),(28,1),(51,1),(55,1),(56,1)}
       41:{1,3,4,7}:{(28,1),(29,1),(52,1),(56,1)}
       42:{2,3,5,6,7}:{(31,1),(47,1),(57,1),(79,1),(84,1),(94,1)}
       43:{3,4,5,6}:{(30,1),(58,1)}
       44:{2,4,5,7}:{(30,1),(31,1),(49,1),(57,1),(58,1)}
       45:{2,4,5,6}:{(32,1),(34,1),(60,1),(61,1)}
       46:{2,3,5,7}:{(32,1),(33,1),(35,1),(61,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(42,1),(59,1),(62,1),(65,1),(90,1),(97,1)}
       48:{1,3,4,5,6}:{(34,1),(37,1),(43,1),(60,1),(63,1),(64,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(44,1),(61,1),(62,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(62,1),(65,1),(88,1)}
       51:{2,3,5,6}:{(37,1),(40,1),(63,1),(66,1),(67,1)}
       52:{1,3,5,7}:{(37,1),(38,1),(41,1),(65,1),(67,1)}
       53:{1,2,3,4}:{(68,1)}
       54:{1,2,4,5}:{(39,1),(68,1),(69,1)}
       55:{1,3,4,6}:{(39,1),(40,1),(66,1),(69,1),(70,1)}
       56:{2,3,4,7}:{(40,1),(41,1),(67,1),(70,1)}
       57:{2,4,6,7}:{(42,1),(44,1),(62,1),(72,1)}
       58:{3,4,5,7}:{(43,1),(44,1),(72,1)}
       59:{2,3,5,6,7}:{(46,1),(47,1),(73,1),(79,1),(93,1),(94,1)}
       60:{3,4,5,6}:{(45,1),(74,1)}
       61:{2,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(49,1),(57,1),(73,1)}
       63:{2,4,5,6}:{(48,1),(51,1),(77,1),(78,1)}
       64:{1,3,4,5,7}:{(48,1),(49,1),(52,1),(58,1),(74,1),(76,1),(78,1)}
       65:{1,3,6,7}:{(50,1),(52,1),(79,1)}
       66:{1,3,5,6}:{(51,1),(55,1),(77,1),(80,1),(81,1)}
       67:{2,3,5,7}:{(51,1),(52,1),(56,1),(78,1),(79,1),(81,1)}
       68:{1,2,3,5}:{(53,1),(54,1),(82,1)}
       69:{1,2,4,6}:{(54,1),(55,1),(80,1),(82,1),(83,1)}
       70:{1,3,4,7}:{(55,1),(56,1),(81,1),(83,1)}
       71:{2,4,5,6,7}:{(57,1),(75,1),(84,1),(94,1)}
       72:{3,4,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,6,7}:{(59,1),(61,1),(62,1),(86,1)}
       74:{3,4,5,7}:{(60,1),(61,1),(86,1)}
       75:{1,4,5,6,7}:{(62,1),(71,1),(85,1),(87,1),(97,1)}
       76:{1,3,4,6,7}:{(62,1),(64,1),(65,1),(72,1),(86,1),(87,1),(88,1)}
       77:{1,4,5,6}:{(63,1),(66,1),(89,1)}
       78:{2,4,5,7}:{(63,1),(64,1),(67,1),(88,1),(89,1)}
       79:{2,3,6,7}:{(65,1),(67,1),(88,1),(90,1)}
       80:{1,2,5,6}:{(66,1),(69,1),(91,1)}
       81:{1,3,5,7}:{(66,1),(67,1),(70,1),(89,1),(90,1),(91,1)}
       82:{1,2,3,6}:{(68,1),(69,1),(92,1)}
       83:{1,2,4,7}:{(69,1),(70,1),(91,1),(92,1)}
       84:{3,5,6,7}:{(71,1),(72,1)}
       85:{2,4,5,6,7}:{(73,1),(75,1),(93,1),(94,1)}
       86:{3,4,6,7}:{(73,1),(74,1),(93,1)}
       87:{1,3,5,6,7}:{(75,1),(76,1),(84,1),(93,1),(94,1)}
       88:{2,4,6,7}:{(76,1),(78,1),(79,1),(94,1),(95,1)}
       89:{1,4,5,7}:{(77,1),(78,1),(81,1),(95,1)}
       90:{1,3,6,7}:{(79,1),(81,1),(95,1),(96,1)}
       91:{1,2,5,7}:{(80,1),(81,1),(83,1),(96,1)}
       92:{1,2,3,7}:{(82,1),(83,1)}
       93:{3,5,6,7}:{(85,1),(86,1)}
       94:{2,5,6,7}:{(87,1),(88,1),(97,1)}
       95:{1,4,6,7}:{(88,1),(89,1),(90,1),(97,1)}
       96:{1,2,6,7}:{(90,1),(91,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2874 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(16,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1),(18,1)}
       11:{1,2,5,6}:{(6,1),(17,1),(19,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{2,3,5,6}:{(8,1),(17,1),(20,1),(21,1)}
       14:{2,3,4,7}:{(8,1),(18,1),(21,1)}
       15:{3,4,5,6}:{(20,1),(22,1)}
       16:{2,3,4,6}:{(9,1),(10,1),(23,1),(24,1)}
       17:{1,3,5,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
       18:{1,3,4,7}:{(10,1),(12,1),(14,1),(24,1),(26,1)}
       19:{1,2,5,7}:{(11,1),(12,1),(26,1),(27,1)}
       20:{2,4,5,6}:{(13,1),(15,1),(25,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       22:{3,4,5,7}:{(15,1),(28,1),(30,1)}
       23:{2,3,5,6}:{(16,1),(17,1),(31,1),(32,1)}
       24:{2,3,4,7}:{(16,1),(18,1),(32,1)}
       25:{1,4,5,6}:{(17,1),(20,1),(31,1),(33,1)}
       26:{1,3,5,7}:{(17,1),(18,1),(19,1),(21,1),(32,1),(33,1),(34,1)}
       27:{1,2,6,7}:{(19,1),(34,1)}
       28:{2,4,5,7}:{(20,1),(21,1),(22,1),(33,1),(35,1)}
       29:{2,3,6,7}:{(21,1),(34,1),(35,1)}
       30:{3,4,6,7}:{(22,1),(35,1),(36,1)}
       31:{2,4,5,6}:{(23,1),(25,1),(37,1),(38,1)}
       32:{2,3,5,7}:{(23,1),(24,1),(26,1),(38,1),(39,1)}
       33:{1,4,5,7}:{(25,1),(26,1),(28,1),(38,1),(40,1)}
       34:{1,3,6,7}:{(26,1),(27,1),(29,1),(39,1),(40,1)}
       35:{2,4,6,7}:{(28,1),(29,1),(30,1),(40,1),(41,1)}
       36:{3,5,6,7}:{(30,1),(41,1),(42,1)}
       37:{3,4,5,6}:{(31,1),(43,1)}
       38:{2,4,5,7}:{(31,1),(32,1),(33,1),(43,1),(44,1)}
       39:{2,3,6,7}:{(32,1),(34,1),(44,1)}
       40:{1,4,6,7}:{(33,1),(34,1),(35,1),(44,1),(45,1)}
       41:{2,5,6,7}:{(35,1),(36,1),(45,1)}
       42:{4,5,6,7}:{(36,1)}
       43:{3,4,5,7}:{(37,1),(38,1),(46,1)}
       44:{2,4,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{1,5,6,7}:{(40,1),(41,1),(47,1)}
       46:{3,4,6,7}:{(43,1),(44,1),(48,1)}
       47:{2,5,6,7}:{(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2875 :   0:{3,4,5,6,7}:{(2,1),(112,1),(140,1)}
         1:{2,3,4,5,6}:{(3,1),(4,1),(44,1),(77,1),(123,1),(136,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(88,1),(159,1)}
         3:{2,3,4,5,7}:{(1,1),(8,1),(9,1),(60,1),(113,1)}
         4:{1,3,4,5,6}:{(1,1),(9,1),(10,1),(29,1),(68,1),(100,1),(114,1),(146,1)}
         5:{2,3,5,6,7}:{(2,1),(8,1),(11,1),(143,1)}
         6:{1,4,5,6,7}:{(2,1),(11,1),(12,1),(66,1),(173,1)}
         7:{2,3,4,5,6}:{(14,1),(15,1),(46,1),(75,1),(85,1),(181,1)}
         8:{2,3,4,6,7}:{(3,1),(5,1),(16,1),(80,1),(88,1),(123,1)}
         9:{1,3,4,5,7}:{(3,1),(4,1),(16,1),(17,1),(42,1),(49,1),(89,1)}
        10:{2,4,5,6}:{(4,1),(17,1),(19,1),(125,1),(164,1)}
        11:{1,3,5,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(162,1)}
        12:{2,4,5,6,7}:{(6,1),(20,1),(21,1),(48,1),(181,1)}
        13:{3,4,5,6,7}:{(22,1),(68,1),(171,1)}
        14:{2,3,4,5,7}:{(7,1),(23,1),(24,1),(96,1),(172,1)}
        15:{1,3,4,5,6}:{(7,1),(24,1),(25,1),(55,1),(64,1),(110,1),(140,1),(173,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(33,1),(58,1),(66,1),(146,1)}
        17:{2,4,5,7}:{(9,1),(10,1),(26,1),(28,1)}
        18:{1,2,4,5,6}:{(10,1),(27,1),(29,1),(63,1),(104,1),(114,1),(151,1),(153,1)}
        19:{2,3,5,6}:{(10,1),(28,1),(29,1),(30,1),(147,1),(176,1)}
        20:{2,5,6,7}:{(11,1),(26,1),(175,1)}
        21:{3,5,6,7}:{(12,1),(33,1),(186,1)}
        22:{2,4,5,6,7}:{(13,1),(34,1),(35,1),(90,1),(157,1)}
        23:{2,3,4,6,7}:{(14,1),(34,1),(36,1),(85,1),(118,1),(157,1)}
        24:{1,3,4,5,7}:{(14,1),(15,1),(36,1),(37,1),(73,1),(117,1),(158,1)}
        25:{2,4,5,6}:{(15,1),(37,1),(39,1),(87,1),(134,1)}
        26:{2,4,6,7}:{(16,1),(17,1),(20,1),(41,1),(164,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(40,1),(42,1),(83,1),(89,1),(131,1)}
        28:{2,3,5,7}:{(17,1),(19,1),(41,1),(42,1),(43,1)}
        29:{1,3,5,6}:{(18,1),(19,1),(42,1),(44,1),(45,1),(129,1),(167,1)}
        30:{2,3,4,6}:{(19,1),(43,1),(45,1),(46,1)}
        31:{1,2,5,6,7}:{(20,1),(40,1),(47,1),(131,1),(166,1)}
        32:{2,3,5,6,7}:{(20,1),(21,1),(41,1),(47,1),(48,1),(82,1),(183,1)}
        33:{3,4,6,7}:{(21,1),(48,1),(49,1),(188,1)}
        34:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(107,1)}
        35:{1,4,5,6,7}:{(22,1),(50,1),(51,1),(114,1),(138,1)}
        36:{1,3,4,6,7}:{(23,1),(24,1),(50,1),(52,1),(93,1),(94,1),(110,1),(138,1)}
        37:{2,4,5,7}:{(24,1),(25,1),(52,1),(54,1)}
        38:{1,2,4,5,6}:{(25,1),(53,1),(55,1),(99,1),(104,1),(151,1),(173,1),(175,1)}
        39:{2,3,5,6}:{(25,1),(54,1),(55,1),(56,1),(111,1),(154,1)}
        40:{1,2,4,6,7}:{(26,1),(27,1),(31,1),(58,1),(66,1),(105,1),(151,1)}
        41:{2,3,6,7}:{(26,1),(28,1),(58,1),(176,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(29,1),(58,1),(60,1),(61,1)}
        43:{2,3,4,7}:{(28,1),(30,1),(61,1)}
        44:{2,3,5,6}:{(29,1),(60,1),(63,1),(111,1),(153,1),(154,1)}
        45:{1,3,4,6}:{(29,1),(30,1),(61,1),(63,1),(64,1)}
        46:{2,3,4,5}:{(30,1),(64,1),(147,1)}
        47:{1,3,5,6,7}:{(31,1),(32,1),(58,1),(65,1),(66,1),(106,1),(178,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(187,1)}
        49:{3,4,5,7}:{(33,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(36,1),(69,1),(70,1),(132,1)}
        51:{2,4,5,6,7}:{(35,1),(69,1),(70,1),(116,1),(136,1)}
        52:{2,4,6,7}:{(36,1),(37,1),(69,1),(72,1),(134,1)}
        53:{1,2,4,5,7}:{(37,1),(38,1),(71,1),(73,1),(121,1),(158,1),(161,1)}
        54:{2,3,5,7}:{(37,1),(39,1),(72,1),(73,1),(74,1)}
        55:{1,3,5,6}:{(38,1),(39,1),(73,1),(75,1),(76,1),(129,1),(167,1)}
        56:{2,3,4,6}:{(39,1),(74,1),(76,1),(77,1)}
        57:{1,2,3,5,6}:{(44,1),(75,1),(78,1),(79,1),(129,1),(166,1),(167,1)}
        58:{1,3,6,7}:{(40,1),(41,1),(42,1),(80,1),(167,1)}
        59:{2,3,4,6,7}:{(41,1),(43,1),(48,1),(81,1),(82,1),(85,1)}
        60:{2,3,5,7}:{(42,1),(44,1),(80,1),(83,1),(131,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(45,1),(83,1)}
        62:{2,3,4,5,7}:{(43,1),(46,1),(82,1),(84,1),(85,1),(163,1),(182,1)}
        63:{2,4,6}:{(44,1),(45,1),(83,1),(87,1)}
        64:{1,3,4,5}:{(45,1),(46,1),(87,1),(129,1)}
        65:{2,3,5,6,7}:{(47,1),(80,1),(88,1),(131,1),(135,1),(169,1)}
        66:{1,4,6,7}:{(47,1),(48,1),(88,1),(89,1),(184,1)}
        67:{2,4,5,7}:{(48,1),(49,1),(82,1),(89,1),(90,1)}
        68:{3,4,5,6}:{(49,1),(90,1),(188,1)}
        69:{2,5,6,7}:{(50,1),(52,1),(153,1)}
        70:{3,5,6,7}:{(51,1),(93,1),(156,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(91,1),(94,1),(138,1),(141,1),(151,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(94,1),(154,1)}
        73:{1,3,5,7}:{(53,1),(54,1),(55,1),(94,1),(96,1),(97,1)}
        74:{2,3,4,7}:{(54,1),(56,1),(97,1)}
        75:{2,3,5,6}:{(55,1),(96,1),(99,1),(147,1),(175,1),(176,1)}
        76:{1,3,4,6}:{(55,1),(56,1),(97,1),(99,1),(100,1)}
        77:{2,3,4,5}:{(56,1),(100,1),(111,1)}
        78:{1,2,3,5,7}:{(57,1),(60,1),(96,1),(101,1),(102,1),(149,1),(150,1)}
        79:{1,2,4,6}:{(57,1),(63,1),(99,1),(102,1),(103,1),(104,1)}
        80:{2,3,6,7}:{(58,1),(60,1),(105,1),(154,1)}
        81:{1,3,4,6,7}:{(58,1),(59,1),(61,1),(66,1),(105,1),(106,1),(110,1),(112,1)}
        82:{2,3,5,7}:{(59,1),(67,1),(106,1),(107,1)}
        83:{2,4,7}:{(60,1),(61,1),(63,1)}
        84:{1,3,4,5,7}:{(61,1),(62,1),(64,1),(106,1),(109,1),(110,1),(150,1),(155,1),(177,1)}
        85:{2,3,4,6}:{(62,1),(107,1),(110,1),(176,1),(187,1)}
        86:{2,3,4,6}:{(63,1),(103,1),(108,1),(111,1),(154,1)}
        87:{2,4,5}:{(63,1),(64,1),(111,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(112,1),(113,1),(179,1)}
        89:{1,4,5,7}:{(66,1),(67,1),(106,1),(113,1),(114,1)}
        90:{2,4,5,6}:{(67,1),(68,1),(107,1),(114,1),(187,1)}
        91:{1,2,5,6,7}:{(69,1),(71,1),(115,1),(161,1),(166,1)}
        92:{2,3,5,6,7}:{(69,1),(70,1),(72,1),(115,1),(116,1),(120,1),(169,1)}
        93:{3,4,6,7}:{(70,1),(116,1),(117,1),(170,1)}
        94:{1,3,6,7}:{(71,1),(72,1),(73,1),(118,1),(167,1)}
        95:{2,3,4,6,7}:{(72,1),(74,1),(116,1),(119,1),(120,1),(123,1)}
        96:{2,3,5,7}:{(73,1),(75,1),(118,1),(121,1),(161,1)}
        97:{1,3,4,7}:{(73,1),(74,1),(76,1),(121,1)}
        98:{2,3,4,5,7}:{(74,1),(77,1),(120,1),(122,1),(123,1),(133,1),(168,1)}
        99:{2,4,6}:{(75,1),(76,1),(121,1),(125,1)}
       100:{1,3,4,5}:{(76,1),(77,1),(125,1),(129,1)}
       101:{1,2,3,6,7}:{(78,1),(80,1),(118,1),(126,1),(167,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(83,1),(121,1),(127,1)}
       103:{1,3,4,6}:{(79,1),(86,1),(124,1),(127,1),(129,1),(167,1)}
       104:{1,2,4,5}:{(79,1),(87,1),(125,1),(129,1)}
       105:{2,4,6,7}:{(80,1),(81,1),(83,1),(131,1),(134,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(89,1),(131,1),(132,1),(135,1)}
       107:{2,3,5,6}:{(82,1),(85,1),(90,1),(132,1)}
       108:{2,3,4,7}:{(83,1),(86,1),(127,1),(133,1)}
       109:{2,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(133,1),(134,1)}
       110:{1,3,4,6}:{(84,1),(85,1),(132,1),(134,1),(167,1),(170,1),(184,1)}
       111:{2,3,5}:{(86,1),(87,1),(129,1)}
       112:{3,4,6,7}:{(88,1),(135,1),(170,1)}
       113:{2,4,5,7}:{(88,1),(89,1),(131,1),(135,1),(136,1)}
       114:{1,4,5,6}:{(89,1),(90,1),(132,1),(136,1),(184,1)}
       115:{1,3,5,6,7}:{(91,1),(92,1),(94,1),(137,1),(138,1),(142,1),(178,1)}
       116:{2,4,6,7}:{(92,1),(93,1),(138,1),(139,1),(179,1)}
       117:{3,4,5,7}:{(93,1),(139,1),(140,1)}
       118:{2,3,6,7}:{(94,1),(96,1),(141,1),(176,1)}
       119:{1,3,4,6,7}:{(94,1),(95,1),(97,1),(138,1),(141,1),(142,1),(146,1),(171,1)}
       120:{2,3,5,7}:{(95,1),(139,1),(142,1),(143,1)}
       121:{2,4,7}:{(96,1),(97,1),(99,1)}
       122:{1,3,4,5,7}:{(97,1),(98,1),(100,1),(142,1),(145,1),(146,1),(150,1),(177,1),(185,1)}
       123:{2,3,4,6}:{(98,1),(143,1),(146,1),(154,1),(179,1)}
       124:{2,3,4,6}:{(99,1),(103,1),(144,1),(147,1),(176,1)}
       125:{2,4,5}:{(99,1),(100,1),(147,1)}
       126:{1,2,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(148,1),(149,1),(151,1)}
       127:{1,3,4,7}:{(102,1),(103,1),(108,1),(144,1),(150,1)}
       128:{1,2,4,5,7}:{(102,1),(104,1),(109,1),(145,1),(149,1),(150,1),(151,1),(177,1)}
       129:{1,3,5}:{(103,1),(104,1),(111,1),(147,1)}
       130:{2,3,4,6,7}:{(105,1),(108,1),(112,1),(148,1),(152,1),(154,1),(179,1)}
       131:{2,5,7}:{(105,1),(106,1),(153,1)}
       132:{1,3,5,6}:{(106,1),(107,1),(110,1),(114,1),(153,1),(156,1)}
       133:{2,3,5,7}:{(108,1),(109,1),(111,1),(150,1),(154,1)}
       134:{2,4,6}:{(109,1),(110,1),(153,1),(154,1)}
       135:{3,5,7}:{(112,1),(113,1),(156,1)}
       136:{2,4,5,6}:{(113,1),(114,1),(153,1),(156,1),(179,1)}
       137:{2,3,5,6,7}:{(115,1),(118,1),(157,1),(161,1),(180,1),(183,1)}
       138:{1,4,6,7}:{(115,1),(116,1),(157,1),(158,1),(184,1)}
       139:{2,4,5,7}:{(116,1),(117,1),(120,1),(158,1),(159,1)}
       140:{3,4,5,6}:{(117,1),(159,1),(170,1)}
       141:{2,4,6,7}:{(118,1),(119,1),(121,1),(161,1),(164,1)}
       142:{1,3,5,7}:{(119,1),(120,1),(158,1),(161,1),(162,1),(180,1)}
       143:{2,3,5,6}:{(120,1),(123,1),(159,1),(162,1)}
       144:{2,3,4,7}:{(121,1),(124,1),(127,1),(163,1)}
       145:{2,4,5,7}:{(121,1),(122,1),(125,1),(161,1),(163,1),(164,1)}
       146:{1,3,4,6}:{(122,1),(123,1),(162,1),(164,1),(167,1),(184,1),(188,1)}
       147:{2,3,5}:{(124,1),(125,1),(129,1)}
       148:{1,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(165,1),(167,1),(184,1)}
       149:{1,2,5,7}:{(126,1),(131,1),(161,1),(165,1),(166,1)}
       150:{1,3,5,7}:{(127,1),(128,1),(129,1),(133,1),(163,1),(167,1)}
       151:{1,2,4,6}:{(128,1),(134,1),(164,1),(166,1),(167,1),(184,1)}
       152:{2,3,5,7}:{(130,1),(131,1),(135,1),(165,1),(168,1),(169,1)}
       153:{2,5,6}:{(131,1),(132,1),(134,1)}
       154:{2,3,6}:{(133,1),(134,1),(167,1)}
       155:{3,4,5,7}:{(135,1),(168,1),(170,1)}
       156:{3,5,6}:{(135,1),(136,1),(170,1)}
       157:{2,4,6,7}:{(137,1),(138,1),(171,1),(172,1),(187,1)}
       158:{1,4,5,7}:{(138,1),(139,1),(142,1),(172,1),(173,1)}
       159:{2,4,5,6}:{(139,1),(140,1),(143,1),(173,1),(179,1)}
       160:{2,3,4,6,7}:{(141,1),(144,1),(148,1),(171,1),(174,1),(176,1),(187,1)}
       161:{2,5,7}:{(141,1),(142,1),(175,1)}
       162:{1,3,5,6}:{(142,1),(143,1),(146,1),(173,1),(175,1),(186,1)}
       163:{2,3,5,7}:{(144,1),(145,1),(147,1),(150,1),(176,1)}
       164:{2,4,6}:{(145,1),(146,1),(175,1),(176,1)}
       165:{1,3,5,7}:{(148,1),(149,1),(152,1),(174,1),(177,1),(178,1)}
       166:{1,2,5,6}:{(149,1),(151,1),(153,1),(175,1),(178,1)}
       167:{1,3,6}:{(150,1),(151,1),(154,1),(176,1)}
       168:{2,4,5,7}:{(152,1),(155,1),(177,1),(179,1)}
       169:{2,3,5,6}:{(152,1),(153,1),(154,1),(156,1),(178,1),(179,1)}
       170:{3,4,6}:{(155,1),(156,1),(179,1)}
       171:{3,4,6,7}:{(157,1),(180,1),(188,1)}
       172:{2,4,5,7}:{(157,1),(158,1),(161,1),(180,1),(181,1)}
       173:{1,4,5,6}:{(158,1),(159,1),(162,1),(181,1),(184,1)}
       174:{2,3,5,7}:{(160,1),(161,1),(165,1),(180,1),(182,1),(183,1)}
       175:{2,5,6}:{(161,1),(162,1),(164,1)}
       176:{2,3,6}:{(163,1),(164,1),(167,1)}
       177:{1,4,5,7}:{(165,1),(168,1),(182,1),(184,1)}
       178:{1,3,5,6}:{(165,1),(166,1),(167,1),(169,1),(183,1),(184,1)}
       179:{2,4,6}:{(168,1),(169,1),(170,1),(184,1)}
       180:{3,5,7}:{(171,1),(172,1),(186,1)}
       181:{2,4,5,6}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       182:{2,4,5,7}:{(174,1),(177,1),(185,1),(187,1)}
       183:{2,3,5,6}:{(174,1),(175,1),(176,1),(178,1),(186,1),(187,1)}
       184:{1,4,6}:{(177,1),(178,1),(179,1),(187,1)}
       185:{3,4,5,7}:{(180,1),(182,1),(188,1)}
       186:{3,5,6}:{(180,1),(181,1),(188,1)}
       187:{2,4,6}:{(182,1),(183,1),(184,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2876 :   0:{2,3,4,5}:{(4,1),(5,1),(65,1),(118,1)}
         1:{3,4,5,6}:{(6,1),(7,1),(152,1),(168,1)}
         2:{4,5,6,7}:{(8,1),(174,1)}
         3:{1,2,3,5}:{(10,1),(11,1),(45,1),(46,1)}
         4:{1,3,4,5}:{(0,1),(14,1),(15,1),(46,1),(56,1),(98,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(15,1),(16,1),(94,1),(141,1)}
         6:{2,4,5,6}:{(1,1),(12,1),(18,1),(19,1),(141,1),(164,1)}
         7:{3,4,5,7}:{(1,1),(17,1),(19,1),(163,1),(173,1)}
         8:{3,5,6,7}:{(2,1),(17,1),(20,1),(173,1)}
         9:{2,3,4,5}:{(21,1),(22,1),(30,1),(76,1)}
        10:{1,2,3,6}:{(3,1),(23,1),(24,1),(72,1)}
        11:{1,2,4}:{(3,1),(25,1)}
        12:{2,3,5,6}:{(5,1),(6,1),(28,1),(29,1)}
        13:{2,3,4}:{(25,1),(30,1)}
        14:{2,4,5}:{(4,1),(30,1),(31,1)}
        15:{1,3,4,6}:{(4,1),(5,1),(28,1),(31,1),(32,1),(72,1),(82,1),(125,1)}
        16:{2,3,4,7}:{(5,1),(29,1),(32,1),(121,1),(156,1)}
        17:{3,4,6,7}:{(7,1),(8,1),(33,1)}
        18:{1,4,5,6}:{(6,1),(28,1),(34,1),(35,1),(125,1),(157,1)}
        19:{2,4,5,7}:{(6,1),(7,1),(29,1),(33,1),(35,1),(156,1),(170,1)}
        20:{2,5,6,7}:{(8,1),(33,1),(36,1),(170,1)}
        21:{1,3,4,5}:{(9,1),(40,1),(41,1),(46,1),(98,1),(135,1)}
        22:{2,3,4,6}:{(9,1),(38,1),(41,1),(42,1),(53,1),(105,1)}
        23:{1,2,3,7}:{(10,1),(43,1),(101,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(43,1),(44,1),(45,1),(97,1)}
        25:{1,3,4}:{(11,1),(13,1),(39,1),(46,1)}
        26:{1,2,4,5}:{(11,1),(14,1),(40,1),(45,1),(46,1),(47,1),(98,1)}
        27:{2,3,4,6}:{(13,1),(44,1),(48,1),(50,1),(53,1),(103,1),(105,1)}
        28:{1,3,5,6}:{(12,1),(15,1),(18,1),(51,1),(52,1),(57,1)}
        29:{2,3,5,7}:{(12,1),(16,1),(19,1),(49,1),(52,1)}
        30:{2,3,5}:{(13,1),(14,1),(46,1),(53,1)}
        31:{2,4,6}:{(14,1),(15,1),(51,1),(53,1),(54,1)}
        32:{1,3,4,7}:{(15,1),(16,1),(52,1),(54,1),(101,1),(109,1),(145,1)}
        33:{2,4,6,7}:{(17,1),(19,1),(20,1),(49,1),(55,1)}
        34:{2,4,5,6}:{(18,1),(51,1),(57,1),(58,1),(105,1),(110,1),(146,1)}
        35:{1,4,5,7}:{(18,1),(19,1),(52,1),(55,1),(58,1),(145,1),(166,1)}
        36:{1,5,6,7}:{(20,1),(55,1),(59,1),(166,1)}
        37:{3,4,5,6}:{(60,1),(61,1),(82,1),(130,1)}
        38:{2,3,5,6}:{(22,1),(60,1),(63,1),(64,1)}
        39:{2,3,4}:{(25,1),(65,1)}
        40:{2,4,5}:{(21,1),(65,1),(66,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(63,1),(66,1),(67,1),(72,1),(125,1),(152,1)}
        42:{2,3,4,7}:{(22,1),(64,1),(67,1),(79,1),(129,1)}
        43:{1,2,4,7}:{(23,1),(24,1),(68,1),(69,1)}
        44:{1,3,4,6}:{(24,1),(25,1),(27,1),(62,1),(68,1),(70,1),(72,1),(123,1),(125,1)}
        45:{1,2,5}:{(24,1),(70,1)}
        46:{1,3,5}:{(25,1),(26,1),(30,1),(65,1),(72,1)}
        47:{1,2,4,6}:{(26,1),(31,1),(66,1),(71,1),(72,1),(73,1),(125,1)}
        48:{2,3,4,7}:{(27,1),(68,1),(74,1),(79,1),(129,1)}
        49:{2,3,6,7}:{(29,1),(33,1),(75,1)}
        50:{2,3,5}:{(27,1),(70,1),(76,1)}
        51:{2,5,6}:{(28,1),(31,1),(78,1)}
        52:{1,3,5,7}:{(28,1),(29,1),(32,1),(35,1),(75,1),(78,1),(83,1)}
        53:{2,3,6}:{(30,1),(31,1),(72,1),(79,1)}
        54:{2,4,7}:{(31,1),(32,1),(78,1),(79,1)}
        55:{1,4,6,7}:{(33,1),(35,1),(36,1),(75,1),(81,1)}
        56:{3,4,5}:{(76,1),(82,1)}
        57:{3,5,6}:{(34,1),(82,1),(83,1)}
        58:{2,4,5,7}:{(34,1),(35,1),(78,1),(81,1),(83,1),(129,1),(132,1),(159,1)}
        59:{2,5,6,7}:{(36,1),(81,1),(84,1),(159,1)}
        60:{2,4,5,6}:{(37,1),(38,1),(87,1),(88,1),(105,1),(146,1)}
        61:{3,4,5,7}:{(37,1),(86,1),(88,1),(109,1),(148,1)}
        62:{2,3,4,6}:{(39,1),(44,1),(89,1),(91,1),(94,1),(139,1),(141,1)}
        63:{1,3,5,6}:{(38,1),(41,1),(87,1),(92,1),(93,1),(136,1)}
        64:{2,3,5,7}:{(38,1),(42,1),(88,1),(90,1),(93,1)}
        65:{2,3,5}:{(39,1),(40,1),(46,1),(94,1)}
        66:{2,4,6}:{(40,1),(41,1),(92,1),(94,1),(95,1)}
        67:{1,3,4,7}:{(41,1),(42,1),(93,1),(95,1),(101,1),(145,1),(163,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(48,1),(89,1),(96,1),(101,1),(145,1)}
        69:{1,2,5,7}:{(43,1),(45,1),(96,1),(97,1)}
        70:{1,3,5}:{(44,1),(45,1),(50,1),(91,1),(98,1)}
        71:{1,2,5,6}:{(45,1),(47,1),(51,1),(92,1),(97,1),(99,1),(100,1)}
        72:{1,3,6}:{(46,1),(47,1),(53,1),(94,1),(101,1)}
        73:{1,2,4,7}:{(47,1),(54,1),(95,1),(100,1),(101,1),(145,1)}
        74:{2,3,5,7}:{(48,1),(50,1),(96,1),(102,1),(103,1)}
        75:{1,3,6,7}:{(49,1),(52,1),(55,1),(104,1),(108,1)}
        76:{2,4,5}:{(50,1),(56,1),(98,1),(105,1)}
        77:{2,3,5,6}:{(50,1),(51,1),(53,1),(57,1),(99,1),(103,1),(105,1),(106,1),(146,1)}
        78:{2,5,7}:{(51,1),(52,1),(54,1),(104,1)}
        79:{2,3,7}:{(53,1),(54,1),(101,1)}
        80:{3,4,5,7}:{(56,1),(102,1),(107,1),(109,1),(148,1)}
        81:{2,4,6,7}:{(55,1),(58,1),(59,1),(104,1),(108,1),(111,1)}
        82:{3,4,6}:{(56,1),(57,1),(105,1),(109,1)}
        83:{3,5,7}:{(57,1),(58,1),(108,1),(109,1)}
        84:{3,5,6,7}:{(59,1),(108,1),(111,1),(148,1)}
        85:{4,5,6,7}:{(112,1),(132,1)}
        86:{3,4,6,7}:{(61,1),(112,1),(113,1)}
        87:{1,4,5,6}:{(60,1),(63,1),(114,1),(115,1),(125,1),(157,1)}
        88:{2,4,5,7}:{(60,1),(61,1),(64,1),(113,1),(115,1),(129,1),(159,1)}
        89:{2,3,4,7}:{(62,1),(68,1),(116,1),(121,1),(156,1)}
        90:{2,3,6,7}:{(64,1),(113,1),(117,1)}
        91:{2,3,5}:{(62,1),(70,1),(118,1)}
        92:{2,5,6}:{(63,1),(66,1),(120,1)}
        93:{1,3,5,7}:{(63,1),(64,1),(67,1),(115,1),(117,1),(120,1),(153,1)}
        94:{2,3,6}:{(65,1),(66,1),(72,1),(121,1)}
        95:{2,4,7}:{(66,1),(67,1),(120,1),(121,1)}
        96:{1,3,5,7}:{(68,1),(69,1),(70,1),(74,1),(116,1),(122,1),(123,1)}
        97:{1,2,6}:{(69,1),(123,1)}
        98:{1,4,5}:{(70,1),(76,1),(118,1),(125,1)}
        99:{1,3,5,6}:{(70,1),(71,1),(72,1),(77,1),(119,1),(123,1),(125,1),(126,1),(157,1)}
       100:{1,2,5,7}:{(71,1),(73,1),(78,1),(120,1),(124,1),(126,1)}
       101:{1,3,7}:{(72,1),(73,1),(79,1),(121,1)}
       102:{2,4,5,7}:{(74,1),(76,1),(80,1),(122,1),(127,1),(129,1),(159,1)}
       103:{2,3,6}:{(74,1),(123,1),(127,1)}
       104:{2,6,7}:{(75,1),(78,1)}
       105:{2,4,6}:{(76,1),(77,1),(82,1),(125,1),(129,1)}
       106:{2,3,5,7}:{(77,1),(78,1),(79,1),(83,1),(126,1),(128,1),(129,1),(159,1)}
       107:{3,4,6}:{(80,1),(127,1),(130,1)}
       108:{3,6,7}:{(81,1),(83,1)}
       109:{3,4,7}:{(82,1),(83,1),(129,1)}
       110:{4,5,6}:{(130,1),(132,1)}
       111:{4,6,7}:{(84,1),(132,1)}
       112:{3,5,6,7}:{(85,1),(86,1),(133,1),(148,1)}
       113:{2,4,6,7}:{(86,1),(88,1),(90,1),(133,1),(134,1)}
       114:{2,4,5,6}:{(87,1),(92,1),(136,1),(137,1),(141,1),(164,1),(171,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(93,1),(134,1),(137,1),(145,1),(166,1)}
       116:{2,3,5,7}:{(89,1),(91,1),(96,1),(138,1),(139,1)}
       117:{1,3,6,7}:{(90,1),(93,1),(134,1),(140,1),(162,1)}
       118:{2,4,5}:{(91,1),(98,1),(135,1),(141,1)}
       119:{2,3,5,6}:{(91,1),(92,1),(94,1),(99,1),(136,1),(139,1),(141,1),(142,1),(164,1)}
       120:{2,5,7}:{(92,1),(93,1),(95,1),(140,1)}
       121:{2,3,7}:{(94,1),(95,1),(101,1)}
       122:{1,4,5,7}:{(96,1),(98,1),(102,1),(138,1),(143,1),(145,1),(166,1)}
       123:{1,3,6}:{(96,1),(97,1),(103,1),(139,1),(143,1)}
       124:{1,2,6,7}:{(97,1),(100,1),(104,1),(140,1),(144,1)}
       125:{1,4,6}:{(98,1),(99,1),(105,1),(141,1),(145,1)}
       126:{1,3,5,7}:{(99,1),(100,1),(101,1),(106,1),(142,1),(144,1),(145,1),(166,1)}
       127:{2,4,6}:{(102,1),(103,1),(107,1),(143,1),(146,1)}
       128:{2,3,6,7}:{(103,1),(104,1),(106,1),(108,1),(144,1),(147,1)}
       129:{2,4,7}:{(105,1),(106,1),(109,1),(145,1)}
       130:{3,5,6}:{(107,1),(110,1),(146,1),(148,1)}
       131:{3,4,6,7}:{(107,1),(108,1),(109,1),(111,1),(147,1),(148,1)}
       132:{4,5,7}:{(110,1),(111,1),(148,1)}
       133:{2,5,6,7}:{(112,1),(113,1),(149,1),(159,1)}
       134:{1,4,6,7}:{(113,1),(115,1),(117,1),(149,1),(151,1)}
       135:{3,4,5}:{(118,1),(152,1)}
       136:{3,5,6}:{(114,1),(152,1),(153,1)}
       137:{2,4,5,7}:{(114,1),(115,1),(120,1),(151,1),(153,1),(156,1),(170,1),(174,1)}
       138:{2,4,5,7}:{(116,1),(118,1),(122,1),(150,1),(154,1),(156,1),(170,1)}
       139:{2,3,6}:{(116,1),(123,1),(154,1)}
       140:{2,6,7}:{(117,1),(120,1)}
       141:{2,4,6}:{(118,1),(119,1),(125,1),(152,1),(156,1)}
       142:{2,3,5,7}:{(119,1),(120,1),(121,1),(126,1),(153,1),(155,1),(156,1),(170,1)}
       143:{1,4,6}:{(122,1),(123,1),(127,1),(154,1),(157,1)}
       144:{1,3,6,7}:{(123,1),(124,1),(126,1),(128,1),(155,1),(158,1)}
       145:{1,4,7}:{(125,1),(126,1),(129,1),(156,1)}
       146:{2,5,6}:{(127,1),(130,1),(157,1),(159,1)}
       147:{2,4,6,7}:{(127,1),(128,1),(129,1),(131,1),(158,1),(159,1)}
       148:{3,5,7}:{(130,1),(131,1),(132,1),(159,1)}
       149:{1,5,6,7}:{(133,1),(134,1),(160,1),(166,1)}
       150:{3,4,5,7}:{(135,1),(138,1),(161,1),(163,1),(173,1)}
       151:{2,4,6,7}:{(134,1),(137,1),(140,1),(160,1),(162,1),(172,1)}
       152:{3,4,6}:{(135,1),(136,1),(141,1),(163,1)}
       153:{3,5,7}:{(136,1),(137,1),(162,1),(163,1)}
       154:{2,4,6}:{(138,1),(139,1),(143,1),(161,1),(164,1)}
       155:{2,3,6,7}:{(139,1),(140,1),(142,1),(144,1),(162,1),(165,1)}
       156:{2,4,7}:{(141,1),(142,1),(145,1),(163,1)}
       157:{1,5,6}:{(143,1),(146,1),(164,1),(166,1)}
       158:{1,4,6,7}:{(143,1),(144,1),(145,1),(147,1),(165,1),(166,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1),(166,1)}
       160:{2,5,6,7}:{(149,1),(151,1),(167,1),(170,1)}
       161:{3,4,6}:{(150,1),(154,1),(168,1)}
       162:{3,6,7}:{(151,1),(153,1)}
       163:{3,4,7}:{(152,1),(153,1),(156,1)}
       164:{2,5,6}:{(154,1),(157,1),(168,1),(170,1)}
       165:{2,4,6,7}:{(154,1),(155,1),(156,1),(158,1),(169,1),(170,1)}
       166:{1,5,7}:{(157,1),(158,1),(159,1),(170,1)}
       167:{3,5,6,7}:{(160,1),(162,1),(172,1),(173,1)}
       168:{3,5,6}:{(161,1),(164,1),(171,1),(173,1)}
       169:{3,4,6,7}:{(161,1),(162,1),(163,1),(165,1),(172,1),(173,1)}
       170:{2,5,7}:{(164,1),(165,1),(166,1),(173,1)}
       171:{4,5,6}:{(168,1),(174,1)}
       172:{4,6,7}:{(167,1),(174,1)}
       173:{3,5,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{4,5,7}:{(171,1),(172,1),(173,1)}

2877 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(10,1),(110,1),(130,1),(141,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(16,1),(145,1)}
         2:{1,2,3,5,6,7}:{(3,1),(5,1),(16,1),(19,1),(68,1),(95,1),(119,1)}
         3:{1,2,3,5,6}:{(1,1),(7,1),(21,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(130,1),(142,1)}
         5:{1,2,4,6,7}:{(2,1),(7,1),(9,1),(10,1),(27,1),(130,1)}
         6:{1,2,4,5,6,7}:{(9,1),(11,1),(27,1),(30,1),(54,1),(79,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1)}
         8:{1,3,4,5,7}:{(4,1),(14,1),(15,1),(16,1),(120,1),(136,1)}
         9:{1,2,4,5,7}:{(5,1),(13,1),(16,1),(35,1)}
        10:{1,3,4,6,7}:{(5,1),(14,1),(16,1),(17,1),(95,1),(120,1)}
        11:{1,3,5,6,7}:{(6,1),(16,1),(18,1),(19,1),(95,1)}
        12:{1,3,4,5,6,7}:{(18,1),(20,1),(41,1),(70,1)}
        13:{1,2,4,5,6}:{(7,1),(9,1),(21,1),(43,1)}
        14:{1,3,4,6}:{(7,1),(8,1),(21,1),(22,1)}
        15:{2,3,4,5,7}:{(8,1),(22,1),(23,1),(25,1),(107,1),(129,1)}
        16:{1,3,5,7}:{(9,1),(10,1),(21,1),(25,1)}
        17:{2,3,4,6,7}:{(10,1),(22,1),(25,1),(26,1),(27,1),(80,1),(107,1)}
        18:{1,3,4,6,7}:{(11,1),(24,1),(27,1)}
        19:{2,3,5,6,7}:{(11,1),(25,1),(27,1),(28,1),(54,1),(80,1)}
        20:{2,4,5,6,7}:{(12,1),(27,1),(29,1),(30,1),(54,1),(84,1)}
        21:{1,3,5,6}:{(13,1),(14,1),(16,1),(32,1)}
        22:{2,3,4,6}:{(14,1),(15,1),(32,1),(33,1)}
        23:{1,3,4,5,7}:{(15,1),(33,1),(34,1),(36,1),(92,1),(118,1)}
        24:{1,3,4,5,7}:{(16,1),(18,1),(31,1),(35,1)}
        25:{2,3,5,7}:{(16,1),(17,1),(32,1),(35,1),(36,1)}
        26:{1,3,4,6,7}:{(17,1),(33,1),(36,1),(37,1),(39,1),(66,1),(92,1)}
        27:{2,4,6,7}:{(18,1),(19,1),(35,1),(39,1)}
        28:{1,3,5,6,7}:{(19,1),(36,1),(39,1),(40,1),(66,1)}
        29:{2,3,5,6,7}:{(20,1),(38,1),(41,1)}
        30:{1,4,5,6,7}:{(20,1),(39,1),(41,1),(99,1)}
        31:{1,3,4,5,6}:{(21,1),(24,1),(43,1)}
        32:{2,3,5,6}:{(21,1),(22,1),(25,1),(43,1),(44,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(44,1),(45,1)}
        34:{1,2,4,5,7}:{(23,1),(45,1),(46,1),(49,1),(77,1),(105,1)}
        35:{2,4,5,7}:{(24,1),(25,1),(27,1),(43,1),(48,1)}
        36:{1,3,5,7}:{(25,1),(26,1),(44,1),(48,1),(49,1)}
        37:{1,2,4,6,7}:{(26,1),(45,1),(49,1),(50,1),(77,1)}
        38:{2,3,4,6,7}:{(27,1),(29,1),(47,1),(51,1),(80,1),(84,1)}
        39:{1,4,6,7}:{(27,1),(28,1),(48,1)}
        40:{1,2,5,6,7}:{(28,1),(49,1),(52,1),(54,1)}
        41:{1,3,5,6,7}:{(29,1),(30,1),(51,1),(54,1)}
        42:{1,2,4,5,6,7}:{(30,1),(52,1),(54,1),(55,1),(82,1),(84,1)}
        43:{2,4,5,6}:{(31,1),(32,1),(35,1),(57,1)}
        44:{1,3,5,6}:{(32,1),(33,1),(36,1),(57,1),(58,1)}
        45:{1,2,4,6}:{(33,1),(34,1),(58,1),(59,1)}
        46:{1,2,3,5,7}:{(34,1),(59,1),(60,1),(89,1)}
        47:{2,3,4,5,7}:{(35,1),(38,1),(56,1),(61,1),(91,1),(100,1)}
        48:{1,4,5,7}:{(35,1),(36,1),(39,1),(57,1)}
        49:{1,2,5,7}:{(36,1),(37,1),(58,1)}
        50:{1,2,3,6,7}:{(37,1),(59,1),(63,1),(66,1)}
        51:{1,3,4,6,7}:{(38,1),(39,1),(41,1),(61,1),(65,1),(66,1),(95,1),(99,1)}
        52:{1,2,4,6,7}:{(39,1),(40,1),(62,1),(65,1),(66,1)}
        53:{1,2,3,5,6,7}:{(40,1),(63,1),(66,1),(67,1),(69,1),(94,1),(97,1)}
        54:{2,5,6,7}:{(41,1),(65,1)}
        55:{1,3,5,6,7}:{(42,1),(66,1),(69,1),(70,1),(97,1)}
        56:{2,3,4,5,6}:{(43,1),(47,1),(71,1),(103,1),(115,1)}
        57:{1,4,5,6}:{(43,1),(44,1),(48,1)}
        58:{1,2,5,6}:{(44,1),(45,1),(49,1)}
        59:{1,2,3,6}:{(45,1),(46,1)}
        60:{1,2,3,4,7}:{(46,1),(74,1),(77,1)}
        61:{1,3,4,5,7}:{(47,1),(48,1),(51,1),(71,1),(75,1),(76,1),(106,1),(114,1)}
        62:{1,2,4,5,7}:{(48,1),(49,1),(52,1),(72,1),(75,1),(76,1),(77,1)}
        63:{1,2,3,5,7}:{(49,1),(50,1),(73,1),(76,1),(77,1)}
        64:{1,2,3,4,6,7}:{(50,1),(74,1),(77,1),(78,1),(81,1),(109,1)}
        65:{2,4,6,7}:{(51,1),(54,1),(75,1),(80,1)}
        66:{1,3,6,7}:{(52,1),(76,1),(80,1)}
        67:{1,2,4,6,7}:{(53,1),(77,1),(81,1),(82,1),(84,1),(109,1)}
        68:{1,2,5,6,7}:{(54,1),(79,1),(83,1),(133,1)}
        69:{2,3,5,6,7}:{(54,1),(55,1),(80,1),(83,1),(84,1),(112,1)}
        70:{1,3,4,6,7}:{(55,1),(84,1),(85,1)}
        71:{1,3,4,5,6}:{(56,1),(57,1),(61,1),(86,1),(87,1),(116,1),(126,1)}
        72:{1,2,4,5,6}:{(57,1),(58,1),(62,1),(86,1),(87,1),(88,1)}
        73:{1,2,3,5,6}:{(58,1),(59,1),(63,1),(87,1),(88,1),(89,1)}
        74:{1,2,3,4,6}:{(59,1),(60,1),(88,1),(89,1)}
        75:{2,4,5,7}:{(61,1),(65,1),(86,1),(91,1)}
        76:{1,3,5,7}:{(62,1),(66,1),(87,1),(91,1),(92,1)}
        77:{1,2,4,7}:{(63,1),(88,1),(92,1)}
        78:{1,2,3,5,7}:{(64,1),(89,1),(93,1),(94,1),(97,1)}
        79:{1,2,4,6,7}:{(65,1),(68,1),(90,1),(95,1),(99,1)}
        80:{2,3,6,7}:{(65,1),(66,1),(91,1),(95,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(92,1),(96,1),(97,1),(122,1)}
        82:{1,2,4,5,7}:{(67,1),(97,1),(98,1),(100,1)}
        83:{1,3,5,6,7}:{(68,1),(69,1),(95,1),(99,1),(124,1)}
        84:{2,4,6,7}:{(69,1),(70,1),(99,1),(100,1)}
        85:{1,3,4,5,7}:{(70,1),(97,1),(100,1),(101,1)}
        86:{2,4,5,6}:{(71,1),(75,1),(103,1)}
        87:{1,3,5,6}:{(72,1),(76,1),(103,1),(104,1)}
        88:{1,2,4,6}:{(73,1),(77,1),(104,1),(105,1)}
        89:{1,2,3,5}:{(74,1),(105,1)}
        90:{1,2,4,5,7}:{(75,1),(79,1),(102,1),(106,1),(114,1),(130,1),(133,1)}
        91:{2,3,5,7}:{(75,1),(76,1),(80,1),(103,1),(106,1),(107,1)}
        92:{1,3,4,7}:{(76,1),(77,1),(104,1),(107,1)}
        93:{1,2,4,5,7}:{(77,1),(78,1),(105,1),(108,1),(109,1)}
        94:{1,2,3,5,6}:{(78,1),(109,1),(113,1)}
        95:{1,3,6,7}:{(79,1),(80,1),(106,1)}
        96:{2,3,4,6,7}:{(80,1),(81,1),(84,1),(107,1),(111,1),(112,1),(132,1)}
        97:{1,3,5,7}:{(81,1),(82,1),(112,1),(113,1)}
        98:{1,2,4,5,6}:{(82,1),(109,1),(113,1),(115,1)}
        99:{1,4,6,7}:{(83,1),(84,1),(114,1)}
       100:{2,4,5,7}:{(84,1),(85,1),(112,1),(114,1),(115,1)}
       101:{1,3,4,5,6}:{(85,1),(113,1),(115,1)}
       102:{1,2,4,5,6}:{(86,1),(90,1),(116,1),(126,1),(135,1),(140,1)}
       103:{2,3,5,6}:{(86,1),(87,1),(91,1),(116,1),(117,1)}
       104:{1,3,4,6}:{(87,1),(88,1),(92,1),(117,1),(118,1)}
       105:{1,2,4,5}:{(88,1),(89,1),(118,1)}
       106:{1,3,5,7}:{(90,1),(91,1),(95,1),(116,1),(120,1)}
       107:{2,3,4,7}:{(91,1),(92,1),(117,1),(120,1)}
       108:{1,3,4,5,7}:{(92,1),(93,1),(97,1),(118,1),(121,1),(122,1)}
       109:{1,2,4,6}:{(93,1),(94,1),(122,1)}
       110:{1,2,3,6,7}:{(95,1),(119,1),(123,1),(146,1)}
       111:{1,3,4,6,7}:{(95,1),(96,1),(99,1),(120,1),(123,1),(124,1),(139,1)}
       112:{2,3,5,7}:{(96,1),(97,1),(100,1),(124,1),(125,1)}
       113:{1,3,5,6}:{(97,1),(98,1),(122,1),(125,1)}
       114:{1,4,5,7}:{(99,1),(100,1),(124,1),(126,1)}
       115:{2,4,5,6}:{(100,1),(101,1),(125,1),(126,1)}
       116:{1,3,5,6}:{(102,1),(103,1),(106,1),(128,1)}
       117:{2,3,4,6}:{(103,1),(104,1),(107,1),(128,1),(129,1)}
       118:{1,3,4,5}:{(104,1),(105,1),(129,1)}
       119:{1,2,3,5,7}:{(106,1),(110,1),(127,1),(130,1),(133,1)}
       120:{1,3,4,7}:{(106,1),(107,1),(128,1),(130,1)}
       121:{2,3,4,5,7}:{(107,1),(108,1),(112,1),(129,1),(131,1),(132,1)}
       122:{1,3,4,6}:{(108,1),(109,1),(113,1),(132,1)}
       123:{1,2,4,6,7}:{(110,1),(111,1),(130,1),(133,1),(144,1)}
       124:{1,3,5,7}:{(111,1),(112,1),(114,1),(133,1),(134,1)}
       125:{2,3,5,6}:{(112,1),(113,1),(115,1),(132,1),(134,1)}
       126:{1,4,5,6}:{(114,1),(115,1),(134,1)}
       127:{1,2,3,5,6}:{(116,1),(119,1),(135,1),(140,1),(145,1),(146,1)}
       128:{1,3,4,6}:{(116,1),(117,1),(120,1),(135,1),(136,1)}
       129:{2,3,4,5}:{(117,1),(118,1),(136,1)}
       130:{1,2,4,7}:{(119,1),(120,1),(135,1)}
       131:{1,3,4,5,7}:{(120,1),(121,1),(124,1),(136,1),(138,1),(139,1)}
       132:{2,3,4,6}:{(121,1),(122,1),(125,1),(139,1)}
       133:{1,2,5,7}:{(123,1),(124,1),(140,1)}
       134:{1,3,5,6}:{(124,1),(125,1),(126,1),(139,1),(140,1)}
       135:{1,2,4,6}:{(127,1),(128,1),(130,1),(142,1)}
       136:{1,3,4,5}:{(128,1),(129,1),(142,1)}
       137:{1,2,3,4,7}:{(130,1),(141,1),(143,1)}
       138:{1,2,4,5,7}:{(130,1),(131,1),(133,1),(142,1),(143,1),(144,1)}
       139:{1,3,4,6}:{(131,1),(132,1),(134,1),(144,1)}
       140:{1,2,5,6}:{(133,1),(134,1),(144,1)}
       141:{1,2,3,4,6}:{(135,1),(137,1),(145,1),(146,1)}
       142:{1,2,4,5}:{(135,1),(136,1),(145,1)}
       143:{1,2,3,5,7}:{(137,1),(138,1),(145,1),(146,1)}
       144:{1,2,4,6}:{(138,1),(139,1),(140,1),(146,1)}
       145:{1,2,3,5}:{(141,1),(142,1)}
       146:{1,2,3,6}:{(143,1),(144,1)}

2878 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

2879 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(13,1),(14,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(14,1),(15,1)}
       12:{1,3,4,5,6}:{(9,1),(16,1),(17,1)}
       13:{2,3,4,5,7}:{(9,1),(10,1),(17,1),(18,1)}
       14:{1,3,4,6,7}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,2,5,6,7}:{(11,1),(19,1)}
       16:{1,2,4,5,6}:{(12,1),(21,1),(22,1)}
       17:{1,3,4,5,7}:{(12,1),(13,1),(22,1),(23,1)}
       18:{2,3,4,6,7}:{(13,1),(14,1),(23,1),(24,1)}
       19:{1,3,5,6,7}:{(14,1),(15,1),(24,1),(25,1)}
       20:{1,2,3,4,5}:{(26,1)}
       21:{1,2,3,5,6}:{(16,1),(26,1),(27,1)}
       22:{1,2,4,5,7}:{(16,1),(17,1),(27,1),(28,1)}
       23:{1,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{2,3,5,6,7}:{(18,1),(19,1),(29,1),(30,1)}
       25:{1,4,5,6,7}:{(19,1),(30,1)}
       26:{1,2,3,4,6}:{(20,1),(21,1),(31,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(23,1),(32,1),(33,1)}
       29:{1,3,5,6,7}:{(23,1),(24,1),(33,1),(34,1)}
       30:{2,4,5,6,7}:{(24,1),(25,1),(34,1),(35,1)}
       31:{1,2,3,4,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,5,6,7}:{(28,1),(29,1)}
       34:{1,4,5,6,7}:{(29,1),(30,1)}
       35:{3,4,5,6,7}:{(30,1)}

2880 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(116,1),(132,1),(133,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(140,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(13,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(133,1),(134,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(26,1),(76,1),(102,1),(122,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(20,1),(124,1),(125,1)}
         7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(35,1),(133,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(13,1),(15,1)}
        10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1),(112,1),(113,1)}
        11:{1,2,4,5,6,7}:{(12,1),(17,1),(35,1),(38,1),(63,1),(87,1)}
        12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1)}
        13:{1,3,5,6}:{(7,1),(9,1),(20,1),(21,1)}
        14:{1,3,4,6,7}:{(8,1),(9,1),(20,1),(22,1),(102,1),(124,1)}
        15:{2,3,4,6}:{(9,1),(10,1),(21,1),(23,1)}
        16:{1,3,4,5,7}:{(10,1),(23,1),(24,1),(42,1),(98,1),(99,1)}
        17:{1,3,5,6,7}:{(11,1),(20,1),(25,1),(26,1),(102,1)}
        18:{1,3,4,5,6,7}:{(25,1),(27,1),(50,1),(78,1)}
        19:{1,3,4,5,6}:{(13,1),(28,1),(29,1)}
        20:{1,3,5,7}:{(12,1),(13,1),(14,1),(30,1)}
        21:{2,3,5,6}:{(13,1),(15,1),(29,1),(30,1),(31,1)}
        22:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(35,1),(88,1),(112,1)}
        23:{1,3,4,6}:{(15,1),(16,1),(31,1),(33,1)}
        24:{1,2,4,5,7}:{(16,1),(33,1),(34,1),(56,1),(84,1),(85,1)}
        25:{1,3,4,6,7}:{(17,1),(28,1),(35,1)}
        26:{2,3,5,6,7}:{(17,1),(30,1),(35,1),(36,1),(63,1),(88,1)}
        27:{2,4,5,6,7}:{(18,1),(35,1),(37,1),(38,1),(63,1),(92,1)}
        28:{1,3,4,5,7}:{(19,1),(20,1),(25,1),(40,1)}
        29:{2,4,5,6}:{(19,1),(21,1),(40,1),(41,1)}
        30:{2,3,5,7}:{(20,1),(21,1),(22,1),(40,1),(42,1)}
        31:{1,3,5,6}:{(21,1),(23,1),(41,1),(42,1),(43,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(42,1),(44,1),(48,1),(74,1),(98,1)}
        33:{1,2,4,6}:{(23,1),(24,1),(43,1),(45,1)}
        34:{1,2,3,5,7}:{(24,1),(45,1),(46,1),(72,1)}
        35:{2,4,6,7}:{(25,1),(26,1),(40,1),(48,1)}
        36:{1,3,5,6,7}:{(26,1),(42,1),(48,1),(49,1),(74,1)}
        37:{2,3,5,6,7}:{(27,1),(47,1),(50,1)}
        38:{1,4,5,6,7}:{(27,1),(48,1),(50,1),(106,1)}
        39:{2,3,4,5,6}:{(29,1),(52,1),(53,1),(81,1),(121,1)}
        40:{2,4,5,7}:{(28,1),(29,1),(30,1),(35,1),(54,1)}
        41:{1,4,5,6}:{(29,1),(31,1),(54,1)}
        42:{1,3,5,7}:{(30,1),(31,1),(32,1),(54,1),(56,1)}
        43:{1,2,5,6}:{(31,1),(33,1),(56,1)}
        44:{1,2,4,6,7}:{(32,1),(33,1),(56,1),(58,1),(84,1)}
        45:{1,2,3,6}:{(33,1),(34,1)}
        46:{1,2,3,4,7}:{(34,1),(59,1),(84,1)}
        47:{2,3,4,6,7}:{(35,1),(37,1),(52,1),(60,1),(88,1),(92,1)}
        48:{1,4,6,7}:{(35,1),(36,1),(54,1)}
        49:{1,2,5,6,7}:{(36,1),(56,1),(61,1),(63,1)}
        50:{1,3,5,6,7}:{(37,1),(38,1),(60,1),(63,1)}
        51:{1,2,4,5,6,7}:{(38,1),(61,1),(63,1),(64,1),(90,1),(92,1)}
        52:{2,3,4,5,7}:{(39,1),(40,1),(47,1),(65,1),(96,1),(107,1)}
        53:{1,3,4,5,6}:{(39,1),(41,1),(65,1),(66,1),(68,1),(95,1),(131,1)}
        54:{1,4,5,7}:{(40,1),(41,1),(42,1),(48,1)}
        55:{1,2,4,5,6}:{(41,1),(43,1),(66,1),(67,1),(68,1),(70,1)}
        56:{1,2,5,7}:{(42,1),(43,1),(44,1)}
        57:{1,2,3,5,6}:{(43,1),(45,1),(68,1),(69,1),(70,1),(72,1)}
        58:{1,2,3,6,7}:{(44,1),(45,1),(69,1),(74,1)}
        59:{1,2,3,4,6}:{(45,1),(46,1),(70,1),(72,1)}
        60:{1,3,4,6,7}:{(47,1),(48,1),(50,1),(65,1),(73,1),(74,1),(102,1),(106,1)}
        61:{1,2,4,6,7}:{(48,1),(49,1),(67,1),(73,1),(74,1)}
        62:{1,2,3,5,6,7}:{(49,1),(69,1),(74,1),(75,1),(77,1),(101,1),(104,1)}
        63:{2,5,6,7}:{(50,1),(73,1)}
        64:{1,3,5,6,7}:{(51,1),(74,1),(77,1),(78,1),(104,1)}
        65:{1,3,4,5,7}:{(52,1),(53,1),(54,1),(60,1),(80,1),(82,1),(110,1),(120,1)}
        66:{2,4,5,6}:{(53,1),(80,1),(81,1)}
        67:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(61,1),(80,1),(82,1),(84,1)}
        68:{1,3,5,6}:{(55,1),(81,1),(82,1),(83,1)}
        69:{1,2,3,5,7}:{(56,1),(57,1),(58,1),(82,1),(84,1)}
        70:{1,2,4,6}:{(57,1),(83,1),(84,1),(85,1)}
        71:{1,2,3,4,6,7}:{(58,1),(59,1),(84,1),(86,1),(89,1),(115,1)}
        72:{1,2,3,5}:{(59,1),(85,1)}
        73:{2,4,6,7}:{(60,1),(63,1),(80,1),(88,1)}
        74:{1,3,6,7}:{(61,1),(82,1),(88,1)}
        75:{1,2,4,6,7}:{(62,1),(84,1),(89,1),(90,1),(92,1),(115,1)}
        76:{1,2,5,6,7}:{(63,1),(87,1),(91,1),(137,1)}
        77:{2,3,5,6,7}:{(63,1),(64,1),(88,1),(91,1),(92,1),(118,1)}
        78:{1,3,4,6,7}:{(64,1),(92,1),(93,1)}
        79:{1,2,4,5,6}:{(66,1),(94,1),(95,1),(123,1),(131,1),(143,1)}
        80:{2,4,5,7}:{(65,1),(66,1),(73,1),(96,1)}
        81:{2,3,5,6}:{(66,1),(68,1),(95,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(74,1),(96,1),(98,1)}
        83:{1,3,4,6}:{(68,1),(70,1),(97,1),(98,1),(99,1)}
        84:{1,2,4,7}:{(69,1),(70,1),(98,1)}
        85:{1,2,4,5}:{(70,1),(72,1),(99,1)}
        86:{1,2,3,5,7}:{(71,1),(72,1),(100,1),(101,1),(104,1)}
        87:{1,2,4,6,7}:{(73,1),(76,1),(94,1),(102,1),(106,1)}
        88:{2,3,6,7}:{(73,1),(74,1),(96,1),(102,1)}
        89:{1,3,4,6,7}:{(74,1),(75,1),(98,1),(103,1),(104,1),(127,1)}
        90:{1,2,4,5,7}:{(75,1),(104,1),(105,1),(107,1)}
        91:{1,3,5,6,7}:{(76,1),(77,1),(102,1),(106,1),(129,1)}
        92:{2,4,6,7}:{(77,1),(78,1),(106,1),(107,1)}
        93:{1,3,4,5,7}:{(78,1),(104,1),(107,1),(108,1)}
        94:{1,2,4,5,7}:{(79,1),(80,1),(87,1),(110,1),(120,1),(133,1),(137,1)}
        95:{1,3,5,6}:{(79,1),(81,1),(110,1),(111,1)}
        96:{2,3,5,7}:{(80,1),(81,1),(82,1),(88,1),(110,1),(112,1)}
        97:{2,3,4,6}:{(81,1),(83,1),(111,1),(112,1),(113,1)}
        98:{1,3,4,7}:{(82,1),(83,1),(84,1),(112,1)}
        99:{1,3,4,5}:{(83,1),(85,1),(113,1)}
       100:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(114,1),(115,1)}
       101:{1,2,3,5,6}:{(86,1),(115,1),(119,1)}
       102:{1,3,6,7}:{(87,1),(88,1),(110,1)}
       103:{2,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(118,1),(136,1)}
       104:{1,3,5,7}:{(89,1),(90,1),(118,1),(119,1)}
       105:{1,2,4,5,6}:{(90,1),(115,1),(119,1),(121,1)}
       106:{1,4,6,7}:{(91,1),(92,1),(120,1)}
       107:{2,4,5,7}:{(92,1),(93,1),(118,1),(120,1),(121,1)}
       108:{1,3,4,5,6}:{(93,1),(119,1),(121,1)}
       109:{1,2,3,5,6}:{(95,1),(122,1),(123,1),(140,1),(143,1),(146,1)}
       110:{1,3,5,7}:{(94,1),(95,1),(96,1),(102,1),(124,1)}
       111:{1,3,4,6}:{(95,1),(97,1),(123,1),(124,1),(125,1)}
       112:{2,3,4,7}:{(96,1),(97,1),(98,1),(124,1)}
       113:{2,3,4,5}:{(97,1),(99,1),(125,1)}
       114:{1,3,4,5,7}:{(98,1),(99,1),(100,1),(104,1),(126,1),(127,1)}
       115:{1,2,4,6}:{(100,1),(101,1),(127,1)}
       116:{1,2,3,6,7}:{(102,1),(122,1),(128,1),(146,1)}
       117:{1,3,4,6,7}:{(102,1),(103,1),(106,1),(124,1),(128,1),(129,1),(142,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(107,1),(129,1),(130,1)}
       119:{1,3,5,6}:{(104,1),(105,1),(127,1),(130,1)}
       120:{1,4,5,7}:{(106,1),(107,1),(129,1),(131,1)}
       121:{2,4,5,6}:{(107,1),(108,1),(130,1),(131,1)}
       122:{1,2,3,5,7}:{(109,1),(110,1),(116,1),(133,1),(137,1)}
       123:{1,2,4,6}:{(109,1),(111,1),(133,1),(134,1)}
       124:{1,3,4,7}:{(110,1),(111,1),(112,1),(133,1)}
       125:{1,3,4,5}:{(111,1),(113,1),(134,1)}
       126:{2,3,4,5,7}:{(112,1),(113,1),(114,1),(118,1),(135,1),(136,1)}
       127:{1,3,4,6}:{(114,1),(115,1),(119,1),(136,1)}
       128:{1,2,4,6,7}:{(116,1),(117,1),(133,1),(137,1),(145,1)}
       129:{1,3,5,7}:{(117,1),(118,1),(120,1),(137,1),(138,1)}
       130:{2,3,5,6}:{(118,1),(119,1),(121,1),(136,1),(138,1)}
       131:{1,4,5,6}:{(120,1),(121,1),(138,1)}
       132:{1,2,3,4,6}:{(123,1),(139,1),(140,1),(146,1)}
       133:{1,2,4,7}:{(122,1),(123,1),(124,1)}
       134:{1,2,4,5}:{(123,1),(125,1),(140,1)}
       135:{1,3,4,5,7}:{(124,1),(125,1),(126,1),(129,1),(141,1),(142,1)}
       136:{2,3,4,6}:{(126,1),(127,1),(130,1),(142,1)}
       137:{1,2,5,7}:{(128,1),(129,1),(143,1)}
       138:{1,3,5,6}:{(129,1),(130,1),(131,1),(142,1),(143,1)}
       139:{1,2,3,4,7}:{(132,1),(133,1),(144,1)}
       140:{1,2,3,5}:{(132,1),(134,1)}
       141:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(137,1),(144,1),(145,1)}
       142:{1,3,4,6}:{(135,1),(136,1),(138,1),(145,1)}
       143:{1,2,5,6}:{(137,1),(138,1),(145,1)}
       144:{1,2,3,5,7}:{(139,1),(140,1),(141,1),(146,1)}
       145:{1,2,4,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{1,2,3,6}:{(144,1),(145,1)}

2881 :   0:{1,2,3,5,6,7}:{(2,1),(9,1),(13,1),(25,1),(53,1),(54,1),(75,1),(76,1),(90,1),(91,1)}
         1:{1,2,4,5,6,7}:{(3,1),(8,1),(12,1),(31,1),(51,1),(53,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(34,1),(41,1),(80,1),(87,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(7,1),(15,1),(40,1),(64,1)}
         4:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(24,1),(31,1),(53,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(23,1),(91,1),(92,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(23,1)}
         7:{2,3,5,6,7}:{(3,1),(12,1),(13,1),(25,1),(28,1),(53,1),(54,1)}
         8:{1,2,4,5,6}:{(4,1),(15,1),(34,1),(42,1),(65,1),(80,1)}
         9:{1,3,5,7}:{(4,1),(5,1),(15,1),(16,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(34,1),(41,1),(82,1),(83,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(40,1),(68,1)}
        12:{2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(34,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(36,1),(40,1),(44,1)}
        14:{1,3,4,5,7}:{(9,1),(23,1),(24,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(23,1),(25,1),(91,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(27,1),(47,1),(72,1),(73,1)}
        18:{2,3,4,6,7}:{(12,1),(28,1),(29,1),(45,1),(54,1),(78,1)}
        19:{1,3,4,5,6}:{(11,1),(23,1),(30,1),(52,1),(79,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(28,1),(30,1),(31,1),(53,1),(78,1)}
        21:{1,4,6,7}:{(12,1),(13,1),(31,1),(47,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(49,1),(53,1)}
        23:{1,3,4,6}:{(14,1),(15,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(16,1),(34,1),(35,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(34,1),(36,1),(65,1),(82,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(35,1),(36,1),(37,1)}
        27:{1,2,4,6,7}:{(17,1),(37,1),(38,1),(41,1),(59,1),(62,1)}
        28:{2,3,5,7}:{(18,1),(20,1),(39,1),(40,1)}
        29:{1,3,4,6,7}:{(18,1),(21,1),(40,1),(41,1),(44,1),(57,1),(64,1),(68,1),(87,1)}
        30:{2,4,5,6}:{(19,1),(20,1),(34,1),(39,1),(42,1),(65,1),(88,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1),(42,1),(87,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(41,1),(43,1),(44,1),(59,1)}
        33:{2,3,4,5,7}:{(24,1),(28,1),(45,1),(46,1),(71,1),(78,1),(96,1)}
        34:{2,4,6}:{(23,1),(24,1),(25,1),(47,1)}
        35:{1,4,5,7}:{(24,1),(26,1),(47,1)}
        36:{1,3,5,6}:{(25,1),(26,1),(47,1),(49,1),(72,1)}
        37:{1,2,5,7}:{(26,1),(27,1),(49,1),(53,1)}
        38:{1,2,3,6,7}:{(27,1),(50,1),(54,1),(72,1)}
        39:{2,3,5,6}:{(28,1),(30,1),(45,1),(52,1)}
        40:{1,3,5,7}:{(28,1),(29,1),(31,1),(52,1),(53,1)}
        41:{2,4,6,7}:{(29,1),(53,1),(54,1),(70,1),(78,1)}
        42:{1,4,5,6}:{(30,1),(31,1),(47,1),(52,1),(95,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(53,1),(55,1),(56,1),(78,1)}
        44:{1,3,6,7}:{(32,1),(54,1),(56,1),(72,1)}
        45:{2,3,4,6}:{(33,1),(34,1),(39,1),(57,1),(82,1),(88,1)}
        46:{1,3,4,5,7}:{(33,1),(35,1),(40,1),(57,1),(58,1),(60,1),(68,1),(81,1),(87,1),(89,1),(101,1)}
        47:{1,4,6}:{(34,1),(35,1),(36,1)}
        48:{1,2,4,5,7}:{(35,1),(37,1),(58,1),(59,1),(60,1),(62,1),(85,1)}
        49:{1,2,5,6}:{(36,1),(37,1),(59,1),(65,1)}
        50:{1,2,3,5,7}:{(37,1),(38,1),(60,1),(61,1),(62,1),(66,1)}
        51:{1,2,4,6,7}:{(41,1),(63,1),(64,1),(80,1),(87,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(42,1),(57,1),(65,1)}
        53:{2,5,7}:{(40,1),(41,1),(65,1)}
        54:{2,3,6,7}:{(41,1),(44,1),(64,1),(66,1),(82,1)}
        55:{1,2,4,5,6}:{(42,1),(43,1),(59,1),(65,1),(67,1),(85,1),(88,1)}
        56:{1,3,5,7}:{(43,1),(44,1),(66,1),(67,1),(68,1)}
        57:{1,3,4,6}:{(45,1),(46,1),(47,1),(52,1),(70,1),(72,1),(91,1),(95,1)}
        58:{2,4,5,7}:{(46,1),(53,1),(70,1),(71,1),(78,1),(96,1)}
        59:{1,2,4,6}:{(47,1),(48,1),(49,1),(70,1),(72,1)}
        60:{1,3,5,7}:{(48,1),(71,1),(72,1),(73,1),(94,1)}
        61:{1,2,3,5,6}:{(49,1),(50,1),(72,1),(74,1),(77,1),(94,1)}
        62:{1,2,4,7}:{(50,1),(73,1),(74,1),(78,1)}
        63:{1,2,5,7}:{(51,1),(53,1),(75,1),(76,1)}
        64:{1,3,6,7}:{(51,1),(54,1),(76,1),(91,1)}
        65:{2,5,6}:{(52,1),(53,1),(70,1)}
        66:{2,3,5,7}:{(53,1),(54,1),(56,1),(76,1),(77,1),(78,1)}
        67:{1,3,5,6}:{(55,1),(56,1),(72,1),(77,1),(79,1),(94,1)}
        68:{1,3,4,7}:{(56,1),(78,1),(79,1)}
        69:{1,2,4,5,7}:{(58,1),(63,1),(80,1),(81,1),(87,1),(98,1),(101,1),(104,1)}
        70:{2,4,6}:{(57,1),(58,1),(65,1),(82,1)}
        71:{2,3,5,7}:{(58,1),(60,1),(81,1),(82,1),(83,1),(100,1)}
        72:{1,3,6}:{(59,1),(60,1),(82,1)}
        73:{1,3,4,7}:{(60,1),(62,1),(83,1),(84,1)}
        74:{1,2,4,6}:{(61,1),(62,1),(84,1),(85,1),(88,1)}
        75:{1,2,5,6}:{(63,1),(65,1),(80,1),(86,1),(104,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{2,3,5,6}:{(65,1),(66,1),(67,1),(82,1),(86,1),(88,1),(100,1)}
        78:{2,4,7}:{(66,1),(68,1),(87,1),(88,1)}
        79:{1,3,4,6}:{(67,1),(68,1),(88,1),(89,1)}
        80:{1,2,4,6}:{(69,1),(70,1),(75,1),(91,1),(95,1)}
        81:{1,3,5,7}:{(69,1),(71,1),(91,1),(92,1),(103,1)}
        82:{2,3,6}:{(70,1),(71,1),(72,1),(91,1)}
        83:{2,3,4,7}:{(71,1),(73,1),(78,1),(92,1),(93,1)}
        84:{1,3,4,6}:{(72,1),(73,1),(74,1),(93,1),(94,1)}
        85:{1,2,4,5}:{(74,1),(94,1),(96,1)}
        86:{1,3,5,6}:{(75,1),(76,1),(77,1),(91,1),(95,1),(103,1)}
        87:{1,4,7}:{(76,1),(78,1),(95,1)}
        88:{2,4,6}:{(77,1),(78,1),(79,1),(95,1),(96,1)}
        89:{1,3,4,5}:{(79,1),(94,1),(96,1)}
        90:{1,2,3,5,7}:{(81,1),(97,1),(98,1),(104,1)}
        91:{1,3,6}:{(80,1),(81,1),(82,1)}
        92:{1,3,4,7}:{(81,1),(83,1),(87,1),(98,1),(99,1)}
        93:{2,3,4,6}:{(82,1),(83,1),(84,1),(88,1),(99,1),(100,1)}
        94:{1,3,5}:{(84,1),(85,1),(100,1)}
        95:{1,4,6}:{(86,1),(87,1),(88,1),(101,1)}
        96:{2,4,5}:{(88,1),(89,1),(100,1),(101,1)}
        97:{1,2,3,6}:{(90,1),(91,1),(102,1)}
        98:{1,2,4,7}:{(90,1),(92,1),(102,1)}
        99:{1,3,4,6}:{(91,1),(92,1),(93,1),(95,1),(102,1),(103,1)}
       100:{2,3,5}:{(93,1),(94,1),(96,1),(103,1)}
       101:{1,4,5}:{(95,1),(96,1),(103,1)}
       102:{1,2,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1),(101,1),(104,1)}
       104:{1,2,5}:{(102,1),(103,1)}

2882 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(100,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(91,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(93,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(69,1),(93,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(69,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(48,1),(78,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(44,1),(81,1),(97,1),(99,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(54,1),(81,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(54,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(57,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(90,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(59,1),(66,1),(87,1),(90,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(66,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(43,1),(44,1),(72,1),(95,1),(97,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(44,1),(45,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(46,1),(78,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(46,1),(47,1),(77,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(47,1),(48,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(44,1),(48,1),(49,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(45,1),(49,1),(50,1)}
        35:{1,2,5,6,7}:{(21,1),(47,1),(51,1),(54,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(48,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(49,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(50,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(54,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(54,1),(55,1)}
        41:{1,2,3,6}:{(27,1),(55,1)}
        42:{1,2,3,5,6}:{(29,1),(56,1),(57,1),(84,1),(101,1),(102,1)}
        43:{1,2,4,6,7}:{(28,1),(32,1),(58,1),(59,1),(87,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,6}:{(29,1),(34,1),(57,1),(60,1),(61,1)}
        46:{1,4,5,6,7}:{(30,1),(31,1),(62,1),(66,1),(87,1)}
        47:{2,5,6,7}:{(31,1),(32,1)}
        48:{2,3,6,7}:{(32,1),(33,1),(36,1),(59,1)}
        49:{2,3,4,7}:{(33,1),(34,1),(37,1),(60,1)}
        50:{2,3,4,5}:{(34,1),(38,1),(61,1)}
        51:{1,3,5,6,7}:{(35,1),(36,1),(63,1),(66,1),(67,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(64,1),(66,1),(67,1),(68,1)}
        53:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(39,1),(67,1),(69,1)}
        55:{1,2,4,6}:{(40,1),(41,1),(68,1),(69,1)}
        56:{1,2,3,5,7}:{(42,1),(44,1),(71,1),(72,1),(95,1)}
        57:{1,2,4,6}:{(42,1),(45,1),(72,1),(73,1)}
        58:{1,2,5,6,7}:{(43,1),(47,1),(74,1),(95,1)}
        59:{1,3,6,7}:{(43,1),(44,1),(48,1)}
        60:{1,3,4,7}:{(44,1),(45,1),(49,1),(72,1)}
        61:{1,3,4,5}:{(45,1),(50,1),(73,1)}
        62:{2,4,5,6,7}:{(46,1),(47,1),(77,1),(78,1)}
        63:{2,3,5,6,7}:{(47,1),(48,1),(51,1),(74,1),(77,1),(78,1),(79,1)}
        64:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(80,1)}
        65:{2,3,4,5,7}:{(49,1),(50,1),(53,1),(76,1),(79,1),(80,1)}
        66:{1,4,6,7}:{(51,1),(78,1),(81,1)}
        67:{1,3,5,7}:{(52,1),(54,1),(79,1),(81,1),(82,1)}
        68:{1,3,4,6}:{(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,5,6}:{(54,1),(55,1),(82,1)}
        70:{1,2,3,4,6}:{(57,1),(83,1),(84,1),(101,1)}
        71:{1,2,3,6,7}:{(56,1),(59,1),(85,1),(101,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(60,1)}
        73:{1,2,4,5}:{(57,1),(61,1),(84,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(63,1),(87,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(85,1),(87,1),(88,1),(89,1)}
        76:{1,3,4,5,7}:{(60,1),(61,1),(65,1),(86,1),(88,1),(89,1)}
        77:{3,5,6,7}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(66,1),(87,1),(90,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(67,1),(88,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(68,1),(89,1),(92,1)}
        81:{1,4,5,7}:{(66,1),(67,1),(91,1),(93,1)}
        82:{1,3,5,6}:{(67,1),(68,1),(69,1),(92,1),(93,1)}
        83:{1,2,3,4,7}:{(70,1),(72,1),(94,1)}
        84:{1,2,3,5}:{(70,1),(73,1)}
        85:{1,2,4,6,7}:{(71,1),(72,1),(75,1),(95,1),(96,1)}
        86:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(94,1),(95,1),(96,1)}
        87:{1,4,6,7}:{(74,1),(78,1),(97,1)}
        88:{1,3,5,7}:{(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{1,3,4,6}:{(76,1),(80,1),(96,1),(98,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(99,1)}
        91:{2,4,5,7}:{(78,1),(79,1),(81,1),(97,1),(99,1),(100,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(82,1),(98,1),(100,1)}
        93:{1,4,5,6}:{(81,1),(82,1),(100,1)}
        94:{1,2,3,5,7}:{(83,1),(84,1),(86,1),(101,1)}
        95:{1,2,5,7}:{(85,1),(88,1),(102,1)}
        96:{1,2,4,6}:{(86,1),(89,1),(101,1),(102,1)}
        97:{1,4,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        98:{1,3,5,6}:{(88,1),(89,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,7}:{(90,1),(91,1),(104,1)}
       100:{2,4,5,6}:{(91,1),(92,1),(93,1),(103,1),(104,1)}
       101:{1,2,3,6}:{(94,1),(96,1)}
       102:{1,2,5,6}:{(95,1),(96,1),(98,1)}
       103:{1,4,5,6}:{(97,1),(98,1),(100,1)}
       104:{3,4,5,6}:{(99,1),(100,1)}

2883 :   0:{1,3,4,5,6,7}:{(2,1),(9,1),(12,1),(28,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(17,1),(21,1),(22,1),(39,1),(45,1),(46,1),(81,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(17,1),(21,1),(44,1)}
         3:{1,2,3,5,6,7}:{(7,1),(18,1),(23,1),(52,1),(81,1),(82,1),(109,1),(110,1),(130,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(36,1),(56,1),(61,1),(65,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(12,1),(60,1)}
         6:{1,4,5,6,7}:{(2,1),(12,1),(30,1),(63,1)}
         7:{1,2,4,6,7}:{(3,1),(13,1),(14,1),(30,1),(62,1),(68,1),(120,1),(123,1)}
         8:{1,2,3,5,6,7}:{(15,1),(18,1),(40,1),(75,1),(81,1),(82,1),(89,1),(90,1),(117,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(50,1),(73,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(18,1),(21,1),(42,1),(49,1),(52,1),(75,1),(81,1),(82,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(20,1),(78,1),(82,1)}
        12:{1,3,5,6,7}:{(5,1),(6,1),(20,1),(21,1),(80,1)}
        13:{1,2,4,5,7}:{(7,1),(22,1),(23,1),(45,1),(51,1),(81,1)}
        14:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(50,1),(130,1),(131,1)}
        15:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(62,1),(91,1),(103,1),(106,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(61,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(29,1),(30,1),(68,1),(91,1)}
        18:{1,3,5,6,7}:{(10,1),(30,1),(31,1),(61,1),(65,1),(70,1),(93,1)}
        19:{2,3,4,5,7}:{(11,1),(29,1),(32,1),(33,1),(99,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(30,1),(33,1),(34,1),(65,1),(96,1)}
        21:{2,5,6,7}:{(12,1),(34,1),(98,1)}
        22:{1,2,4,5,6}:{(13,1),(36,1),(63,1),(68,1),(98,1),(120,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(36,1),(37,1)}
        24:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(62,1),(68,1),(124,1),(125,1)}
        25:{1,2,4,5,7}:{(15,1),(39,1),(40,1),(45,1),(74,1),(81,1)}
        26:{1,3,4,6,7}:{(15,1),(40,1),(41,1),(73,1),(117,1),(118,1)}
        27:{2,3,4,6,7}:{(17,1),(42,1),(43,1),(49,1),(78,1),(86,1)}
        28:{1,3,4,5,6}:{(16,1),(44,1),(50,1),(73,1),(80,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(42,1),(44,1),(45,1),(81,1)}
        30:{1,4,6,7}:{(17,1),(18,1),(45,1),(87,1),(107,1)}
        31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(81,1),(89,1),(109,1)}
        32:{2,3,4,5,6}:{(19,1),(44,1),(47,1),(78,1),(113,1),(116,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(45,1),(47,1),(48,1),(84,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(48,1),(49,1),(111,1)}
        35:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(130,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(51,1),(52,1),(53,1),(81,1)}
        38:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(117,1),(118,1)}
        39:{1,2,4,5,6}:{(25,1),(56,1),(63,1),(91,1),(98,1),(103,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(26,1),(57,1),(58,1),(62,1),(91,1),(124,1),(125,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(27,1),(30,1),(61,1),(62,1),(65,1),(96,1),(101,1)}
        44:{2,4,5,6}:{(28,1),(29,1),(60,1),(63,1),(68,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(29,1),(30,1),(61,1),(63,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(62,1),(64,1),(65,1),(103,1),(120,1)}
        47:{1,3,4,5,6}:{(32,1),(33,1),(63,1),(66,1),(96,1),(100,1),(127,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(34,1),(65,1),(67,1),(124,1)}
        50:{1,3,4,6}:{(35,1),(36,1),(68,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(68,1),(70,1),(98,1),(124,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,2,4,6,7}:{(38,1),(62,1),(71,1),(72,1),(103,1),(106,1)}
        55:{1,3,4,5,7}:{(40,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(117,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(74,1),(75,1),(76,1),(81,1)}
        58:{1,3,4,6,7}:{(41,1),(76,1),(77,1),(107,1),(130,1),(131,1)}
        59:{2,3,4,5,7}:{(42,1),(51,1),(74,1),(78,1),(79,1),(86,1),(112,1),(116,1)}
        60:{2,3,5,6}:{(42,1),(44,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(45,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(81,1),(82,1),(111,1),(114,1)}
        63:{1,4,5,6}:{(44,1),(45,1),(80,1),(87,1),(107,1)}
        64:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1),(84,1),(114,1)}
        65:{1,3,6,7}:{(46,1),(49,1),(82,1),(84,1),(117,1),(130,1)}
        66:{2,4,5,6}:{(47,1),(48,1),(85,1),(111,1),(134,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(84,1),(85,1),(86,1)}
        68:{2,4,6}:{(50,1),(51,1),(52,1),(87,1)}
        69:{1,4,5,7}:{(51,1),(53,1),(87,1)}
        70:{1,3,5,6}:{(52,1),(53,1),(87,1),(89,1),(117,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(81,1),(89,1)}
        72:{1,2,3,6,7}:{(54,1),(82,1),(90,1),(117,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(91,1)}
        74:{2,4,5,7}:{(55,1),(57,1),(91,1),(92,1)}
        75:{2,3,5,6}:{(56,1),(57,1),(91,1),(93,1),(98,1),(124,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(92,1),(93,1),(94,1)}
        77:{1,2,4,6,7}:{(58,1),(62,1),(94,1),(95,1),(120,1),(123,1)}
        78:{2,3,4,6}:{(59,1),(60,1),(68,1),(91,1),(96,1),(124,1)}
        79:{1,3,4,5,7}:{(59,1),(61,1),(69,1),(92,1),(96,1),(97,1),(101,1),(104,1),(121,1),(127,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(63,1),(96,1),(98,1)}
        81:{2,5,7}:{(61,1),(62,1),(98,1)}
        82:{2,3,6,7}:{(62,1),(65,1),(99,1),(124,1)}
        83:{1,2,4,5,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(103,1),(120,1),(126,1),(129,1),(137,1)}
        84:{1,3,5,7}:{(64,1),(65,1),(67,1),(99,1),(100,1),(101,1)}
        85:{2,3,5,6}:{(66,1),(67,1),(100,1),(102,1),(124,1),(138,1)}
        86:{2,3,4,7}:{(67,1),(101,1),(102,1)}
        87:{1,4,6}:{(68,1),(69,1),(70,1)}
        88:{1,2,4,5,7}:{(69,1),(71,1),(97,1),(103,1),(104,1),(106,1),(129,1)}
        89:{1,2,5,6}:{(70,1),(71,1),(98,1),(103,1)}
        90:{1,2,3,5,7}:{(71,1),(72,1),(99,1),(104,1),(105,1),(106,1)}
        91:{2,4,6}:{(73,1),(74,1),(75,1),(107,1)}
        92:{1,4,5,7}:{(74,1),(76,1),(107,1)}
        93:{1,3,5,6}:{(75,1),(76,1),(107,1),(109,1),(130,1)}
        94:{1,2,5,7}:{(76,1),(77,1),(81,1),(109,1)}
        95:{1,2,3,6,7}:{(77,1),(82,1),(110,1),(130,1)}
        96:{1,3,4,6}:{(78,1),(79,1),(80,1),(87,1),(107,1),(111,1),(117,1),(130,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(111,1),(112,1),(114,1),(134,1)}
        98:{2,5,6}:{(80,1),(81,1),(111,1)}
        99:{2,3,5,7}:{(81,1),(82,1),(84,1),(113,1),(114,1)}
       100:{1,3,5,6}:{(83,1),(84,1),(85,1),(113,1),(115,1),(117,1),(130,1),(135,1),(139,1)}
       101:{1,3,4,7}:{(84,1),(86,1),(114,1),(115,1)}
       102:{2,3,4,6}:{(85,1),(86,1),(115,1),(116,1)}
       103:{1,2,4,6}:{(87,1),(88,1),(89,1),(111,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(112,1),(117,1),(118,1),(135,1)}
       105:{1,2,3,5,6}:{(89,1),(90,1),(113,1),(117,1),(119,1),(135,1)}
       106:{1,2,4,7}:{(90,1),(114,1),(118,1),(119,1)}
       107:{1,4,6}:{(91,1),(92,1),(93,1)}
       108:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(120,1),(121,1),(123,1),(137,1)}
       109:{1,2,5,6}:{(93,1),(94,1),(98,1),(120,1)}
       110:{1,2,3,5,7}:{(94,1),(95,1),(99,1),(121,1),(122,1),(123,1)}
       111:{2,4,6}:{(96,1),(97,1),(98,1),(124,1)}
       112:{2,3,5,7}:{(97,1),(104,1),(121,1),(124,1),(125,1),(138,1)}
       113:{2,3,5,6}:{(98,1),(99,1),(100,1),(124,1),(126,1),(138,1)}
       114:{2,4,7}:{(99,1),(101,1),(126,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{2,3,4,5}:{(102,1),(127,1),(138,1)}
       117:{1,3,6}:{(103,1),(104,1),(124,1)}
       118:{1,3,4,7}:{(104,1),(106,1),(125,1),(128,1)}
       119:{1,2,4,6}:{(105,1),(106,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(130,1)}
       121:{1,3,5,7}:{(108,1),(112,1),(130,1),(131,1),(139,1)}
       122:{1,2,3,5,6}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(114,1),(131,1),(132,1)}
       124:{2,3,6}:{(111,1),(112,1),(117,1),(130,1)}
       125:{2,3,4,7}:{(112,1),(114,1),(118,1),(131,1),(133,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(134,1)}
       127:{1,3,4,5}:{(115,1),(116,1),(134,1),(135,1),(139,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(119,1),(133,1),(135,1)}
       129:{1,2,4,5}:{(119,1),(134,1),(135,1)}
       130:{1,3,6}:{(120,1),(121,1),(124,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(125,1),(136,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(126,1),(136,1),(137,1)}
       133:{2,3,4,6}:{(124,1),(125,1),(126,1),(128,1),(136,1),(138,1)}
       134:{2,4,5}:{(126,1),(127,1),(138,1)}
       135:{1,3,5}:{(128,1),(129,1),(138,1)}
       136:{1,3,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       137:{1,2,4,5}:{(132,1),(134,1),(139,1)}
       138:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,5}:{(136,1),(137,1),(138,1)}

2884 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2885 :   0:{1,2,3,4,6}:{(2,1),(3,1),(17,1),(18,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(23,1),(89,1)}
         2:{1,2,3,4,7}:{(0,1),(8,1),(32,1)}
         3:{1,2,3,5}:{(0,1),(7,1)}
         4:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(14,1),(37,1),(80,1),(96,1),(99,1)}
         5:{2,3,4,5,7}:{(1,1),(11,1),(12,1),(41,1),(100,1)}
         6:{1,2,4,5,6}:{(10,1),(14,1),(15,1),(17,1),(49,1),(80,1)}
         7:{1,2,4,5}:{(3,1),(13,1),(17,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(16,1),(18,1)}
         9:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(19,1),(49,1)}
        10:{2,4,5,6}:{(4,1),(23,1),(24,1)}
        11:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(56,1),(93,1),(103,1),(104,1)}
        12:{2,3,4,6,7}:{(5,1),(25,1),(26,1),(60,1),(91,1)}
        13:{1,3,4,5}:{(7,1),(22,1),(28,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(28,1),(29,1)}
        15:{1,2,4,5,7}:{(6,1),(24,1),(29,1),(30,1),(32,1),(67,1),(93,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(27,1),(31,1),(32,1),(67,1)}
        17:{1,2,4,6}:{(7,1),(9,1),(28,1),(32,1)}
        18:{1,2,3,6}:{(8,1),(31,1)}
        19:{1,2,3,5,7}:{(9,1),(29,1),(32,1),(33,1),(67,1)}
        20:{1,2,3,4,6}:{(34,1),(35,1),(69,1),(70,1)}
        21:{1,2,4,5,6}:{(10,1),(37,1),(38,1),(69,1),(94,1),(96,1)}
        22:{2,3,4,5}:{(13,1),(36,1),(40,1)}
        23:{2,3,5,6}:{(10,1),(14,1),(37,1),(40,1),(41,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(41,1),(42,1)}
        25:{1,3,4,6,7}:{(11,1),(12,1),(42,1),(43,1),(47,1),(74,1),(82,1),(98,1),(101,1)}
        26:{2,3,5,6,7}:{(12,1),(43,1),(44,1)}
        27:{1,3,4,5,7}:{(13,1),(16,1),(39,1),(45,1),(46,1),(81,1)}
        28:{1,3,4,6}:{(13,1),(14,1),(17,1),(40,1),(46,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(41,1),(46,1),(47,1)}
        30:{1,2,4,6,7}:{(15,1),(42,1),(47,1),(48,1),(82,1)}
        31:{1,2,4,6}:{(16,1),(18,1),(45,1),(49,1)}
        32:{1,2,4,7}:{(17,1),(19,1),(46,1)}
        33:{1,2,3,6,7}:{(18,1),(19,1),(47,1),(50,1)}
        34:{1,2,3,4,7}:{(20,1),(52,1),(84,1)}
        35:{1,2,3,5}:{(20,1),(51,1)}
        36:{1,3,4,5}:{(22,1),(51,1),(55,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(55,1),(56,1)}
        38:{1,2,4,5,7}:{(21,1),(24,1),(56,1),(57,1),(84,1),(102,1),(103,1)}
        39:{2,3,4,5,7}:{(22,1),(27,1),(54,1),(58,1),(59,1),(90,1)}
        40:{2,3,4,6}:{(22,1),(23,1),(28,1),(55,1),(59,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(29,1),(56,1),(59,1),(60,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(61,1)}
        43:{1,3,5,6,7}:{(25,1),(26,1),(61,1),(62,1),(92,1)}
        44:{2,4,5,6,7}:{(26,1),(62,1),(63,1),(91,1)}
        45:{1,3,4,6}:{(27,1),(31,1),(58,1),(64,1)}
        46:{1,3,4,7}:{(28,1),(29,1),(32,1),(59,1)}
        47:{1,3,6,7}:{(29,1),(30,1),(60,1)}
        48:{1,2,5,6,7}:{(30,1),(61,1),(66,1),(67,1)}
        49:{1,2,5,6}:{(31,1),(64,1),(67,1)}
        50:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(65,1),(67,1)}
        51:{1,2,4,5}:{(35,1),(36,1),(69,1)}
        52:{1,2,3,5,7}:{(34,1),(35,1),(68,1),(70,1)}
        53:{1,2,3,5,6}:{(35,1),(37,1),(69,1),(70,1),(71,1),(94,1)}
        54:{1,3,4,5,7}:{(36,1),(39,1),(68,1),(72,1),(73,1),(97,1)}
        55:{1,3,4,6}:{(36,1),(37,1),(40,1),(69,1),(73,1)}
        56:{1,3,5,7}:{(37,1),(38,1),(41,1),(73,1),(74,1)}
        57:{1,2,4,6,7}:{(38,1),(42,1),(74,1),(75,1),(98,1)}
        58:{2,3,4,6}:{(39,1),(45,1),(72,1),(76,1)}
        59:{2,3,4,7}:{(40,1),(41,1),(46,1),(73,1)}
        60:{2,3,6,7}:{(41,1),(42,1),(47,1),(74,1)}
        61:{2,5,6,7}:{(42,1),(43,1)}
        62:{1,4,5,6,7}:{(43,1),(44,1),(79,1),(82,1),(98,1)}
        63:{3,4,5,6,7}:{(44,1),(101,1)}
        64:{1,3,5,6}:{(45,1),(49,1),(76,1),(80,1),(81,1)}
        65:{1,3,4,6,7}:{(45,1),(46,1),(47,1),(50,1),(77,1),(81,1),(82,1)}
        66:{1,3,5,6,7}:{(47,1),(48,1),(78,1),(81,1),(82,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(81,1)}
        68:{1,2,4,5,7}:{(51,1),(52,1),(54,1),(83,1),(84,1),(102,1)}
        69:{1,2,4,6}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,3,6}:{(52,1),(83,1)}
        71:{1,2,3,5,7}:{(53,1),(56,1),(84,1),(85,1),(102,1)}
        72:{1,3,4,6}:{(54,1),(58,1),(83,1),(86,1)}
        73:{1,3,4,7}:{(55,1),(56,1),(59,1),(84,1)}
        74:{1,3,6,7}:{(56,1),(57,1),(60,1)}
        75:{1,2,5,6,7}:{(57,1),(61,1),(88,1),(102,1)}
        76:{2,3,5,6}:{(58,1),(64,1),(86,1),(89,1),(90,1)}
        77:{2,3,4,6,7}:{(58,1),(59,1),(60,1),(65,1),(87,1),(90,1),(91,1)}
        78:{2,3,5,6,7}:{(60,1),(61,1),(66,1),(88,1),(90,1),(91,1),(92,1)}
        79:{2,4,5,6,7}:{(61,1),(62,1),(91,1),(92,1)}
        80:{1,4,5,6}:{(64,1),(89,1),(93,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(90,1),(93,1)}
        82:{1,4,6,7}:{(66,1),(91,1),(93,1)}
        83:{1,2,4,6}:{(68,1),(70,1),(72,1),(94,1)}
        84:{1,2,4,7}:{(69,1),(71,1),(73,1)}
        85:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(95,1)}
        86:{1,3,5,6}:{(72,1),(76,1),(94,1),(96,1),(97,1)}
        87:{1,3,4,6,7}:{(72,1),(73,1),(74,1),(77,1),(95,1),(97,1),(98,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(78,1),(97,1),(98,1)}
        89:{2,4,5,6}:{(76,1),(80,1),(96,1),(99,1),(100,1)}
        90:{2,3,5,7}:{(76,1),(77,1),(81,1),(97,1),(100,1)}
        91:{2,4,6,7}:{(78,1),(82,1),(98,1),(100,1),(101,1)}
        92:{3,5,6,7}:{(79,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(86,1),(102,1)}
        95:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(87,1),(102,1)}
        96:{1,4,5,6}:{(86,1),(89,1),(103,1)}
        97:{1,3,5,7}:{(86,1),(87,1),(90,1),(102,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(91,1),(103,1)}
        99:{3,4,5,6}:{(89,1),(104,1)}
       100:{2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6,7}:{(91,1),(92,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(97,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(100,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

2886 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(13,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(15,1),(16,1)}
       12:{1,2,3,4,5}:{(17,1)}
       13:{1,3,4,5,6}:{(9,1),(18,1),(19,1)}
       14:{2,3,4,5,7}:{(9,1),(10,1),(19,1),(20,1)}
       15:{1,3,4,6,7}:{(10,1),(11,1),(20,1),(21,1)}
       16:{1,2,5,6,7}:{(11,1),(21,1)}
       17:{1,2,3,4,6}:{(12,1),(22,1),(23,1)}
       18:{1,2,4,5,6}:{(13,1),(22,1),(24,1)}
       19:{1,3,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,3,4,6,7}:{(14,1),(15,1),(25,1),(26,1)}
       21:{1,3,5,6,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(18,1),(28,1)}
       23:{1,2,3,4,7}:{(17,1),(28,1)}
       24:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,3,4,6,7}:{(19,1),(20,1),(29,1),(30,1)}
       26:{2,3,5,6,7}:{(20,1),(21,1),(30,1),(31,1)}
       27:{1,4,5,6,7}:{(21,1),(31,1)}
       28:{1,2,3,5,7}:{(22,1),(23,1),(24,1),(32,1)}
       29:{1,2,4,6,7}:{(24,1),(25,1),(32,1),(33,1)}
       30:{1,3,5,6,7}:{(25,1),(26,1),(33,1),(34,1)}
       31:{2,4,5,6,7}:{(26,1),(27,1),(34,1),(35,1)}
       32:{1,2,3,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(30,1)}
       34:{1,4,5,6,7}:{(30,1),(31,1)}
       35:{3,4,5,6,7}:{(31,1)}

2887 :   0:{1,2,3,5,6,7}:{(2,1),(9,1),(13,1),(24,1),(53,1),(56,1),(75,1),(78,1),(90,1),(93,1)}
         1:{1,2,4,5,6,7}:{(3,1),(8,1),(12,1),(30,1),(53,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(33,1),(43,1),(80,1),(89,1),(100,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(7,1),(14,1),(41,1),(68,1)}
         4:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(25,1),(30,1),(53,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(23,1),(90,1),(94,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(23,1)}
         7:{2,3,5,6,7}:{(3,1),(12,1),(13,1),(24,1),(29,1),(53,1),(56,1)}
         8:{1,2,4,5,6}:{(4,1),(14,1),(33,1),(40,1),(63,1),(80,1)}
         9:{1,3,5,7}:{(4,1),(5,1),(14,1),(16,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(33,1),(43,1),(81,1),(85,1)}
        11:{1,3,4,5,7}:{(6,1),(18,1),(19,1),(41,1),(67,1)}
        12:{2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(33,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(34,1),(41,1),(44,1)}
        14:{1,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(90,1)}
        15:{1,3,4,5,7}:{(9,1),(23,1),(25,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(27,1),(46,1),(70,1),(74,1)}
        18:{1,3,4,5,6}:{(11,1),(23,1),(28,1),(51,1),(77,1)}
        19:{2,4,5,7}:{(11,1),(12,1),(28,1),(29,1),(30,1),(53,1),(79,1)}
        20:{2,3,4,6,7}:{(12,1),(29,1),(31,1),(45,1),(56,1),(79,1)}
        21:{1,4,6,7}:{(12,1),(13,1),(30,1),(46,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(47,1),(53,1)}
        23:{1,3,4,6}:{(14,1),(15,1),(33,1)}
        24:{2,3,5,6}:{(14,1),(16,1),(33,1),(34,1),(63,1),(81,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(33,1),(36,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(34,1),(36,1),(37,1)}
        27:{1,2,4,6,7}:{(17,1),(37,1),(38,1),(43,1),(58,1),(62,1)}
        28:{2,4,5,6}:{(18,1),(19,1),(33,1),(39,1),(40,1),(63,1),(87,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(39,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(40,1),(41,1),(89,1)}
        31:{1,3,4,6,7}:{(20,1),(21,1),(41,1),(43,1),(44,1),(57,1),(67,1),(68,1),(89,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(42,1),(43,1),(44,1),(58,1)}
        33:{2,4,6}:{(23,1),(24,1),(25,1),(46,1)}
        34:{1,3,5,6}:{(24,1),(26,1),(46,1),(47,1),(70,1)}
        35:{2,3,4,5,7}:{(25,1),(29,1),(45,1),(48,1),(73,1),(79,1),(96,1)}
        36:{1,4,5,7}:{(25,1),(26,1),(46,1)}
        37:{1,2,5,7}:{(26,1),(27,1),(47,1),(53,1)}
        38:{1,2,3,6,7}:{(27,1),(50,1),(56,1),(70,1)}
        39:{2,3,5,6}:{(28,1),(29,1),(45,1),(51,1)}
        40:{1,4,5,6}:{(28,1),(30,1),(46,1),(51,1),(95,1)}
        41:{1,3,5,7}:{(29,1),(30,1),(31,1),(51,1),(53,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(79,1)}
        43:{2,4,6,7}:{(31,1),(53,1),(56,1),(69,1),(79,1)}
        44:{1,3,6,7}:{(32,1),(54,1),(56,1),(70,1)}
        45:{2,3,4,6}:{(33,1),(35,1),(39,1),(57,1),(81,1),(87,1)}
        46:{1,4,6}:{(33,1),(34,1),(36,1)}
        47:{1,2,5,6}:{(34,1),(37,1),(58,1),(63,1)}
        48:{1,3,4,5,7}:{(35,1),(36,1),(41,1),(57,1),(60,1),(61,1),(67,1),(84,1),(88,1),(89,1),(101,1)}
        49:{1,2,4,5,7}:{(36,1),(37,1),(58,1),(60,1),(61,1),(62,1),(83,1)}
        50:{1,2,3,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(66,1)}
        51:{1,3,5,6}:{(39,1),(40,1),(41,1),(57,1),(63,1)}
        52:{1,2,4,5,6}:{(40,1),(42,1),(58,1),(63,1),(64,1),(83,1),(87,1)}
        53:{2,5,7}:{(41,1),(43,1),(63,1)}
        54:{1,3,5,7}:{(42,1),(44,1),(64,1),(66,1),(67,1)}
        55:{1,2,4,6,7}:{(43,1),(65,1),(68,1),(80,1),(89,1)}
        56:{2,3,6,7}:{(43,1),(44,1),(66,1),(68,1),(81,1)}
        57:{1,3,4,6}:{(45,1),(46,1),(48,1),(51,1),(69,1),(70,1),(90,1),(95,1)}
        58:{1,2,4,6}:{(46,1),(47,1),(49,1),(69,1),(70,1)}
        59:{1,2,3,5,6}:{(47,1),(50,1),(70,1),(71,1),(76,1),(92,1)}
        60:{2,4,5,7}:{(48,1),(53,1),(69,1),(73,1),(79,1),(96,1)}
        61:{1,3,5,7}:{(49,1),(70,1),(73,1),(74,1),(92,1)}
        62:{1,2,4,7}:{(50,1),(71,1),(74,1),(79,1)}
        63:{2,5,6}:{(51,1),(53,1),(69,1)}
        64:{1,3,5,6}:{(52,1),(54,1),(70,1),(76,1),(77,1),(92,1)}
        65:{1,2,5,7}:{(53,1),(55,1),(75,1),(78,1)}
        66:{2,3,5,7}:{(53,1),(54,1),(56,1),(76,1),(78,1),(79,1)}
        67:{1,3,4,7}:{(54,1),(77,1),(79,1)}
        68:{1,3,6,7}:{(55,1),(56,1),(78,1),(90,1)}
        69:{2,4,6}:{(57,1),(60,1),(63,1),(81,1)}
        70:{1,3,6}:{(58,1),(61,1),(81,1)}
        71:{1,2,4,6}:{(59,1),(62,1),(82,1),(83,1),(87,1)}
        72:{1,2,4,5,7}:{(60,1),(65,1),(80,1),(84,1),(89,1),(100,1),(101,1),(104,1)}
        73:{2,3,5,7}:{(60,1),(61,1),(81,1),(84,1),(85,1),(99,1)}
        74:{1,3,4,7}:{(61,1),(62,1),(82,1),(85,1)}
        75:{1,2,5,6}:{(63,1),(65,1),(80,1),(86,1),(104,1)}
        76:{2,3,5,6}:{(63,1),(64,1),(66,1),(81,1),(86,1),(87,1),(99,1)}
        77:{1,3,4,6}:{(64,1),(67,1),(87,1),(88,1)}
        78:{1,3,5,7}:{(65,1),(66,1),(68,1),(86,1),(89,1)}
        79:{2,4,7}:{(66,1),(67,1),(87,1),(89,1)}
        80:{1,2,4,6}:{(69,1),(72,1),(75,1),(90,1),(95,1)}
        81:{2,3,6}:{(69,1),(70,1),(73,1),(90,1)}
        82:{1,3,4,6}:{(70,1),(71,1),(74,1),(91,1),(92,1)}
        83:{1,2,4,5}:{(71,1),(92,1),(96,1)}
        84:{1,3,5,7}:{(72,1),(73,1),(90,1),(94,1),(103,1)}
        85:{2,3,4,7}:{(73,1),(74,1),(79,1),(91,1),(94,1)}
        86:{1,3,5,6}:{(75,1),(76,1),(78,1),(90,1),(95,1),(103,1)}
        87:{2,4,6}:{(76,1),(77,1),(79,1),(95,1),(96,1)}
        88:{1,3,4,5}:{(77,1),(92,1),(96,1)}
        89:{1,4,7}:{(78,1),(79,1),(95,1)}
        90:{1,3,6}:{(80,1),(81,1),(84,1)}
        91:{2,3,4,6}:{(81,1),(82,1),(85,1),(87,1),(98,1),(99,1)}
        92:{1,3,5}:{(82,1),(83,1),(99,1)}
        93:{1,2,3,5,7}:{(84,1),(97,1),(100,1),(104,1)}
        94:{1,3,4,7}:{(84,1),(85,1),(89,1),(98,1),(100,1)}
        95:{1,4,6}:{(86,1),(87,1),(89,1),(101,1)}
        96:{2,4,5}:{(87,1),(88,1),(99,1),(101,1)}
        97:{1,2,3,6}:{(90,1),(93,1),(102,1)}
        98:{1,3,4,6}:{(90,1),(91,1),(94,1),(95,1),(102,1),(103,1)}
        99:{2,3,5}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,2,4,7}:{(93,1),(94,1),(102,1)}
       101:{1,4,5}:{(95,1),(96,1),(103,1)}
       102:{1,2,4,6}:{(97,1),(98,1),(100,1),(104,1)}
       103:{1,3,5}:{(98,1),(99,1),(101,1),(104,1)}
       104:{1,2,5}:{(102,1),(103,1)}

2888 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(78,1),(137,1),(141,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(95,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(114,1),(141,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(96,1),(132,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(36,1),(102,1),(126,1),(131,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(25,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(80,1),(118,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(46,1),(141,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(39,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(42,1),(66,1),(101,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(126,1),(132,1)}
        16:{1,2,4,5,6,7}:{(12,1),(24,1),(46,1),(58,1),(86,1),(108,1)}
        17:{1,3,4,5,6}:{(11,1),(25,1),(26,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(25,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(85,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(53,1),(55,1),(85,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(46,1),(110,1),(118,1)}
        24:{1,3,5,6,7}:{(16,1),(19,1),(34,1),(36,1),(126,1)}
        25:{2,4,5,6}:{(17,1),(18,1),(38,1),(39,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(34,1),(39,1)}
        27:{1,2,3,4,6}:{(20,1),(40,1),(43,1),(69,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(38,1),(41,1),(42,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(39,1),(42,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(40,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(41,1),(43,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(42,1),(44,1),(60,1),(92,1),(101,1)}
        33:{1,3,4,5,6,7}:{(34,1),(45,1),(71,1),(105,1)}
        34:{1,3,4,6,7}:{(24,1),(26,1),(46,1)}
        35:{1,2,3,4,6,7}:{(27,1),(47,1),(56,1),(76,1),(85,1),(112,1)}
        36:{2,3,5,6,7}:{(24,1),(29,1),(46,1),(48,1),(86,1),(110,1)}
        37:{2,3,4,5,6}:{(25,1),(49,1),(50,1),(81,1),(120,1)}
        38:{1,4,5,6}:{(25,1),(28,1),(52,1)}
        39:{2,4,5,7}:{(25,1),(26,1),(29,1),(46,1),(52,1)}
        40:{1,2,3,5}:{(27,1),(53,1)}
        41:{1,2,5,6}:{(28,1),(31,1),(55,1)}
        42:{1,3,5,7}:{(28,1),(29,1),(32,1),(52,1),(55,1)}
        43:{1,2,3,6}:{(30,1),(31,1)}
        44:{1,2,4,6,7}:{(31,1),(32,1),(55,1),(56,1),(85,1)}
        45:{2,4,5,6,7}:{(33,1),(46,1),(57,1),(58,1),(86,1),(121,1)}
        46:{2,4,6,7}:{(34,1),(36,1),(39,1),(60,1)}
        47:{1,2,3,5,7}:{(35,1),(40,1),(61,1),(62,1),(129,1)}
        48:{1,3,5,6,7}:{(36,1),(42,1),(60,1),(63,1),(92,1)}
        49:{1,3,4,5,6}:{(37,1),(38,1),(64,1),(65,1),(67,1),(97,1),(133,1)}
        50:{2,3,4,5,7}:{(37,1),(39,1),(59,1),(65,1),(100,1),(135,1)}
        51:{1,2,4,5,6}:{(38,1),(41,1),(64,1),(67,1),(68,1),(69,1)}
        52:{1,4,5,7}:{(38,1),(39,1),(42,1),(60,1)}
        53:{1,2,4,5}:{(40,1),(66,1),(69,1)}
        54:{1,2,3,5,6}:{(40,1),(41,1),(43,1),(67,1),(69,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(44,1)}
        56:{1,2,3,6,7}:{(43,1),(44,1),(70,1),(92,1)}
        57:{2,3,5,6,7}:{(45,1),(59,1),(71,1)}
        58:{1,4,5,6,7}:{(45,1),(60,1),(71,1),(134,1)}
        59:{2,3,4,6,7}:{(46,1),(50,1),(57,1),(73,1),(110,1),(121,1)}
        60:{1,4,6,7}:{(46,1),(48,1),(52,1)}
        61:{1,2,4,5,7}:{(47,1),(53,1),(74,1),(76,1),(85,1)}
        62:{1,2,3,5,6}:{(47,1),(76,1),(111,1)}
        63:{1,2,5,6,7}:{(48,1),(55,1),(75,1),(86,1)}
        64:{2,4,5,6}:{(49,1),(81,1),(82,1)}
        65:{1,3,4,5,7}:{(49,1),(50,1),(52,1),(73,1),(82,1),(84,1),(117,1),(142,1)}
        66:{1,3,4,5}:{(53,1),(80,1),(83,1)}
        67:{1,3,5,6}:{(51,1),(81,1),(83,1),(84,1)}
        68:{1,2,4,5,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(84,1),(85,1)}
        69:{1,2,4,6}:{(53,1),(54,1),(83,1),(85,1)}
        70:{1,2,3,5,7}:{(54,1),(55,1),(56,1),(84,1),(85,1)}
        71:{1,3,5,6,7}:{(57,1),(58,1),(73,1),(86,1)}
        72:{1,2,4,5,6,7}:{(58,1),(75,1),(86,1),(87,1),(113,1),(121,1)}
        73:{1,3,4,6,7}:{(59,1),(60,1),(65,1),(71,1),(90,1),(92,1),(126,1),(134,1)}
        74:{1,3,4,5,7}:{(61,1),(66,1),(89,1),(91,1),(101,1),(129,1)}
        75:{1,2,4,6,7}:{(60,1),(63,1),(68,1),(90,1),(92,1)}
        76:{1,2,4,6}:{(61,1),(62,1),(91,1)}
        77:{1,2,3,5,6,7}:{(62,1),(63,1),(70,1),(92,1),(94,1),(103,1),(129,1)}
        78:{1,2,3,4,6}:{(88,1),(95,1),(124,1),(130,1)}
        79:{1,2,4,5,6}:{(64,1),(97,1),(98,1),(130,1),(133,1),(143,1)}
        80:{2,3,4,5}:{(66,1),(96,1),(99,1)}
        81:{2,3,5,6}:{(64,1),(67,1),(97,1),(99,1),(100,1)}
        82:{2,4,5,7}:{(64,1),(65,1),(90,1),(100,1)}
        83:{1,3,4,6}:{(66,1),(67,1),(69,1),(99,1),(101,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(92,1),(100,1),(101,1)}
        85:{1,2,4,7}:{(69,1),(70,1),(101,1)}
        86:{2,5,6,7}:{(71,1),(90,1)}
        87:{1,3,5,6,7}:{(72,1),(92,1),(103,1),(105,1),(129,1)}
        88:{1,2,3,4,7}:{(78,1),(106,1),(141,1)}
        89:{2,3,4,5,7}:{(74,1),(80,1),(107,1),(109,1),(118,1),(140,1)}
        90:{2,4,6,7}:{(73,1),(82,1),(86,1),(110,1)}
        91:{1,3,4,6}:{(74,1),(76,1),(109,1),(111,1)}
        92:{1,3,6,7}:{(75,1),(84,1),(110,1)}
        93:{1,2,4,5,6}:{(76,1),(111,1),(113,1),(120,1)}
        94:{1,2,4,6,7}:{(76,1),(77,1),(85,1),(112,1),(113,1),(121,1)}
        95:{1,2,3,5}:{(78,1),(114,1)}
        96:{1,3,4,5}:{(80,1),(114,1),(116,1)}
        97:{1,3,5,6}:{(79,1),(81,1),(116,1),(117,1)}
        98:{1,2,4,5,7}:{(79,1),(82,1),(108,1),(117,1),(141,1),(142,1),(146,1)}
        99:{2,3,4,6}:{(80,1),(81,1),(83,1),(116,1),(118,1)}
       100:{2,3,5,7}:{(81,1),(82,1),(84,1),(110,1),(117,1),(118,1)}
       101:{1,3,4,7}:{(83,1),(84,1),(85,1),(118,1)}
       102:{1,2,5,6,7}:{(86,1),(108,1),(119,1),(146,1)}
       103:{2,3,5,6,7}:{(86,1),(87,1),(110,1),(119,1),(121,1),(140,1)}
       104:{1,3,4,5,6}:{(111,1),(120,1),(122,1)}
       105:{1,3,4,6,7}:{(87,1),(121,1),(122,1)}
       106:{1,2,3,5,7}:{(88,1),(95,1),(123,1),(124,1)}
       107:{1,3,4,5,7}:{(89,1),(96,1),(123,1),(125,1),(132,1),(145,1)}
       108:{1,2,4,6,7}:{(90,1),(98,1),(102,1),(126,1),(134,1)}
       109:{2,3,4,6}:{(89,1),(91,1),(125,1),(127,1)}
       110:{2,3,6,7}:{(90,1),(92,1),(100,1),(126,1)}
       111:{1,3,5,6}:{(91,1),(93,1),(127,1),(129,1)}
       112:{1,3,4,6,7}:{(91,1),(92,1),(94,1),(101,1),(128,1),(129,1)}
       113:{1,2,4,5,7}:{(93,1),(94,1),(129,1),(135,1)}
       114:{1,2,4,5}:{(95,1),(96,1),(130,1)}
       115:{1,2,3,5,6}:{(95,1),(97,1),(124,1),(130,1),(131,1),(143,1)}
       116:{1,3,4,6}:{(96,1),(97,1),(99,1),(130,1),(132,1)}
       117:{1,3,5,7}:{(97,1),(98,1),(100,1),(126,1),(132,1)}
       118:{2,3,4,7}:{(99,1),(100,1),(101,1),(132,1)}
       119:{1,3,5,6,7}:{(102,1),(103,1),(126,1),(134,1),(145,1)}
       120:{2,4,5,6}:{(104,1),(127,1),(133,1),(135,1)}
       121:{2,4,6,7}:{(103,1),(105,1),(134,1),(135,1)}
       122:{1,3,4,5,7}:{(104,1),(105,1),(129,1),(135,1)}
       123:{1,2,4,5,7}:{(106,1),(107,1),(114,1),(136,1),(141,1),(146,1)}
       124:{1,2,3,6}:{(106,1),(136,1)}
       125:{1,3,4,6}:{(107,1),(109,1),(136,1),(138,1)}
       126:{1,3,6,7}:{(108,1),(110,1),(117,1)}
       127:{2,3,5,6}:{(109,1),(111,1),(120,1),(138,1),(140,1)}
       128:{2,3,4,6,7}:{(109,1),(110,1),(112,1),(118,1),(121,1),(139,1),(140,1)}
       129:{1,3,5,7}:{(111,1),(112,1),(113,1),(140,1)}
       130:{1,2,4,6}:{(114,1),(115,1),(116,1),(141,1)}
       131:{1,2,3,5,7}:{(115,1),(117,1),(137,1),(141,1),(146,1)}
       132:{1,3,4,7}:{(116,1),(117,1),(118,1),(141,1)}
       133:{1,4,5,6}:{(120,1),(138,1),(142,1)}
       134:{1,4,6,7}:{(119,1),(121,1),(142,1)}
       135:{2,4,5,7}:{(120,1),(121,1),(122,1),(140,1),(142,1)}
       136:{1,2,4,6}:{(123,1),(124,1),(125,1),(143,1)}
       137:{1,2,3,6,7}:{(124,1),(126,1),(131,1),(144,1)}
       138:{1,3,5,6}:{(125,1),(127,1),(133,1),(143,1),(145,1)}
       139:{1,3,4,6,7}:{(125,1),(126,1),(128,1),(132,1),(134,1),(144,1),(145,1)}
       140:{2,3,5,7}:{(127,1),(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,4,7}:{(130,1),(131,1),(132,1)}
       142:{1,4,5,7}:{(133,1),(134,1),(135,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(138,1),(146,1)}
       144:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(146,1)}
       145:{1,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(146,1)}
       146:{1,2,5,7}:{(143,1),(144,1),(145,1)}

2889 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(96,1),(125,1),(126,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(113,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(126,1),(127,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(36,1),(92,1),(110,1),(114,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(115,1),(116,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(45,1),(126,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(101,1),(102,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(34,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(114,1),(115,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(37,1),(87,1),(88,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(45,1),(54,1),(79,1),(97,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(45,1),(100,1),(101,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(49,1),(76,1),(77,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(33,1),(34,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(34,1),(35,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(33,1),(36,1),(114,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(34,1),(37,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(37,1),(39,1),(58,1),(86,1),(87,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(38,1),(40,1)}
        30:{1,2,3,5,7}:{(22,1),(40,1),(41,1),(65,1)}
        31:{1,3,4,5,6,7}:{(33,1),(42,1),(66,1),(94,1)}
        32:{2,3,4,5,6}:{(24,1),(43,1),(44,1),(71,1),(135,1)}
        33:{1,3,4,6,7}:{(23,1),(25,1),(45,1)}
        34:{2,4,5,7}:{(23,1),(24,1),(26,1),(45,1),(46,1)}
        35:{1,4,5,6}:{(24,1),(27,1),(46,1)}
        36:{2,3,5,6,7}:{(25,1),(26,1),(45,1),(48,1),(79,1),(100,1)}
        37:{1,3,5,7}:{(26,1),(27,1),(28,1),(46,1),(49,1)}
        38:{1,2,5,6}:{(27,1),(29,1),(49,1)}
        39:{1,2,4,6,7}:{(28,1),(29,1),(49,1),(51,1),(76,1)}
        40:{1,2,3,6}:{(29,1),(30,1)}
        41:{1,2,3,4,7}:{(30,1),(52,1),(76,1)}
        42:{2,4,5,6,7}:{(31,1),(45,1),(53,1),(54,1),(79,1),(108,1)}
        43:{2,3,4,5,7}:{(32,1),(34,1),(55,1),(56,1),(84,1),(123,1)}
        44:{1,3,4,5,6}:{(32,1),(35,1),(56,1),(57,1),(60,1),(82,1),(142,1)}
        45:{2,4,6,7}:{(33,1),(34,1),(36,1),(58,1)}
        46:{1,4,5,7}:{(34,1),(35,1),(37,1),(58,1)}
        47:{1,2,4,5,6}:{(35,1),(38,1),(57,1),(59,1),(60,1),(63,1)}
        48:{1,3,5,6,7}:{(36,1),(37,1),(58,1),(61,1),(86,1)}
        49:{1,2,5,7}:{(37,1),(38,1),(39,1)}
        50:{1,2,3,5,6}:{(38,1),(40,1),(60,1),(62,1),(63,1),(65,1)}
        51:{1,2,3,6,7}:{(39,1),(40,1),(62,1),(86,1)}
        52:{1,2,3,4,6}:{(40,1),(41,1),(63,1),(65,1)}
        53:{2,3,5,6,7}:{(42,1),(55,1),(66,1)}
        54:{1,4,5,6,7}:{(42,1),(58,1),(66,1),(122,1)}
        55:{2,3,4,6,7}:{(43,1),(45,1),(53,1),(69,1),(100,1),(108,1)}
        56:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(69,1),(70,1),(73,1),(98,1),(134,1)}
        57:{2,4,5,6}:{(44,1),(70,1),(71,1)}
        58:{1,4,6,7}:{(45,1),(46,1),(48,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(49,1),(70,1),(72,1),(73,1),(76,1)}
        60:{1,3,5,6}:{(47,1),(71,1),(73,1),(74,1)}
        61:{1,2,5,6,7}:{(48,1),(49,1),(72,1),(79,1)}
        62:{1,2,3,5,7}:{(49,1),(50,1),(51,1),(73,1),(76,1)}
        63:{1,2,4,6}:{(50,1),(74,1),(76,1),(77,1)}
        64:{1,2,3,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(103,1),(106,1)}
        65:{1,2,3,5}:{(52,1),(77,1)}
        66:{1,3,5,6,7}:{(53,1),(54,1),(69,1),(79,1)}
        67:{1,2,4,5,6,7}:{(54,1),(72,1),(79,1),(80,1),(105,1),(108,1)}
        68:{1,2,4,5,6}:{(57,1),(81,1),(82,1),(111,1),(142,1),(146,1)}
        69:{1,3,4,6,7}:{(55,1),(56,1),(58,1),(66,1),(83,1),(86,1),(114,1),(122,1)}
        70:{2,4,5,7}:{(56,1),(57,1),(83,1),(84,1)}
        71:{2,3,5,6}:{(57,1),(60,1),(82,1),(84,1),(85,1)}
        72:{1,2,4,6,7}:{(58,1),(59,1),(61,1),(83,1),(86,1)}
        73:{1,3,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        74:{1,3,4,6}:{(60,1),(63,1),(85,1),(87,1),(88,1)}
        75:{1,2,3,5,6,7}:{(61,1),(62,1),(86,1),(89,1),(91,1),(93,1),(119,1)}
        76:{1,2,4,7}:{(62,1),(63,1),(87,1)}
        77:{1,2,4,5}:{(63,1),(65,1),(88,1)}
        78:{1,2,3,5,7}:{(64,1),(65,1),(90,1),(91,1),(119,1)}
        79:{2,5,6,7}:{(66,1),(83,1)}
        80:{1,3,5,6,7}:{(67,1),(86,1),(93,1),(94,1),(119,1)}
        81:{1,2,4,5,7}:{(68,1),(70,1),(97,1),(98,1),(126,1),(134,1),(143,1)}
        82:{1,3,5,6}:{(68,1),(71,1),(98,1),(99,1)}
        83:{2,4,6,7}:{(69,1),(70,1),(79,1),(100,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(73,1),(98,1),(100,1),(101,1)}
        85:{2,3,4,6}:{(71,1),(74,1),(99,1),(101,1),(102,1)}
        86:{1,3,6,7}:{(72,1),(73,1),(100,1)}
        87:{1,3,4,7}:{(73,1),(74,1),(76,1),(101,1)}
        88:{1,3,4,5}:{(74,1),(77,1),(102,1)}
        89:{1,2,4,6,7}:{(75,1),(76,1),(103,1),(105,1),(106,1),(108,1)}
        90:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(104,1),(106,1)}
        91:{1,2,3,5,6}:{(78,1),(106,1),(133,1)}
        92:{1,2,5,6,7}:{(79,1),(97,1),(107,1),(143,1)}
        93:{2,3,5,6,7}:{(79,1),(80,1),(100,1),(107,1),(108,1),(131,1)}
        94:{1,3,4,6,7}:{(80,1),(108,1),(109,1)}
        95:{1,2,3,5,6}:{(82,1),(110,1),(111,1),(113,1),(138,1),(146,1)}
        96:{1,2,3,4,6}:{(111,1),(112,1),(113,1),(138,1)}
        97:{1,2,4,6,7}:{(81,1),(83,1),(92,1),(114,1),(122,1)}
        98:{1,3,5,7}:{(81,1),(82,1),(84,1),(114,1),(115,1)}
        99:{1,3,4,6}:{(82,1),(85,1),(111,1),(115,1),(116,1)}
       100:{2,3,6,7}:{(83,1),(84,1),(86,1),(114,1)}
       101:{2,3,4,7}:{(84,1),(85,1),(87,1),(115,1)}
       102:{2,3,4,5}:{(85,1),(88,1),(116,1)}
       103:{1,3,4,6,7}:{(86,1),(87,1),(89,1),(117,1),(119,1),(120,1)}
       104:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(118,1),(119,1),(120,1)}
       105:{1,2,4,5,7}:{(89,1),(119,1),(121,1),(123,1)}
       106:{1,2,4,6}:{(90,1),(91,1),(120,1)}
       107:{1,3,5,6,7}:{(92,1),(93,1),(114,1),(122,1),(139,1)}
       108:{2,4,6,7}:{(93,1),(94,1),(122,1),(123,1)}
       109:{1,3,4,5,7}:{(94,1),(119,1),(123,1),(124,1)}
       110:{1,2,3,5,7}:{(95,1),(98,1),(125,1),(126,1),(143,1)}
       111:{1,2,4,6}:{(95,1),(99,1),(126,1),(127,1)}
       112:{1,2,3,4,7}:{(96,1),(126,1),(128,1)}
       113:{1,2,3,5}:{(96,1),(127,1)}
       114:{1,3,6,7}:{(97,1),(98,1),(100,1)}
       115:{1,3,4,7}:{(98,1),(99,1),(101,1),(126,1)}
       116:{1,3,4,5}:{(99,1),(102,1),(127,1)}
       117:{2,3,4,6,7}:{(100,1),(101,1),(103,1),(108,1),(129,1),(131,1),(132,1)}
       118:{2,3,4,5,7}:{(101,1),(102,1),(104,1),(130,1),(131,1),(132,1)}
       119:{1,3,5,7}:{(103,1),(105,1),(131,1),(133,1)}
       120:{1,3,4,6}:{(104,1),(106,1),(132,1),(133,1)}
       121:{1,2,4,5,6}:{(105,1),(106,1),(133,1),(135,1)}
       122:{1,4,6,7}:{(107,1),(108,1),(134,1)}
       123:{2,4,5,7}:{(108,1),(109,1),(131,1),(134,1),(135,1)}
       124:{1,3,4,5,6}:{(109,1),(133,1),(135,1)}
       125:{1,2,3,6,7}:{(110,1),(114,1),(136,1),(138,1)}
       126:{1,2,4,7}:{(110,1),(111,1),(115,1)}
       127:{1,2,4,5}:{(111,1),(113,1),(116,1)}
       128:{1,2,3,5,7}:{(112,1),(113,1),(137,1),(138,1)}
       129:{1,3,4,6,7}:{(114,1),(115,1),(117,1),(122,1),(136,1),(139,1),(140,1)}
       130:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(137,1),(139,1),(140,1)}
       131:{2,3,5,7}:{(117,1),(119,1),(123,1),(139,1),(141,1)}
       132:{2,3,4,6}:{(118,1),(120,1),(140,1),(141,1)}
       133:{1,3,5,6}:{(119,1),(120,1),(121,1),(141,1)}
       134:{1,4,5,7}:{(122,1),(123,1),(139,1),(142,1)}
       135:{2,4,5,6}:{(123,1),(124,1),(141,1),(142,1)}
       136:{1,2,4,6,7}:{(125,1),(126,1),(129,1),(143,1),(144,1)}
       137:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(130,1),(143,1),(144,1)}
       138:{1,2,3,6}:{(128,1),(144,1)}
       139:{1,3,5,7}:{(129,1),(131,1),(134,1),(143,1),(145,1)}
       140:{1,3,4,6}:{(130,1),(132,1),(144,1),(145,1)}
       141:{2,3,5,6}:{(131,1),(132,1),(133,1),(135,1),(145,1)}
       142:{1,4,5,6}:{(134,1),(135,1),(145,1)}
       143:{1,2,5,7}:{(136,1),(139,1),(146,1)}
       144:{1,2,4,6}:{(137,1),(138,1),(140,1),(146,1)}
       145:{1,3,5,6}:{(139,1),(140,1),(141,1),(142,1),(146,1)}
       146:{1,2,5,6}:{(143,1),(144,1),(145,1)}

2890 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(18,1),(100,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(7,1),(8,1),(114,1),(138,1)}
         4:{1,2,4,5}:{(2,1),(6,1),(9,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(26,1),(28,1)}
         6:{1,3,4,5}:{(4,1),(12,1),(14,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(13,1),(15,1),(18,1),(45,1),(126,1),(147,1)}
         8:{1,2,3,6}:{(3,1),(15,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
        10:{1,2,3,5,7}:{(5,1),(16,1),(18,1),(44,1),(45,1)}
        11:{1,2,3,4}:{(21,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(24,1)}
        13:{1,3,4,5,7}:{(6,1),(7,1),(23,1),(25,1),(27,1),(62,1),(115,1),(140,1)}
        14:{1,3,4,6}:{(6,1),(9,1),(24,1),(26,1),(27,1)}
        15:{1,2,4,6}:{(7,1),(8,1),(25,1),(28,1)}
        16:{1,2,3,6,7}:{(8,1),(10,1),(29,1),(63,1),(138,1)}
        17:{1,2,4,5,6}:{(9,1),(26,1),(28,1),(30,1),(31,1),(61,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(27,1)}
        19:{1,3,4,5,6}:{(26,1),(31,1),(32,1),(61,1),(94,1)}
        20:{1,2,3,4,7}:{(11,1),(33,1),(34,1),(104,1)}
        21:{1,2,3,5}:{(11,1),(35,1),(36,1)}
        22:{1,3,4,5}:{(12,1),(35,1),(38,1)}
        23:{2,3,4,5,7}:{(12,1),(13,1),(37,1),(39,1),(41,1),(78,1),(101,1),(130,1)}
        24:{2,3,4,6}:{(12,1),(14,1),(38,1),(40,1),(41,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(39,1),(42,1)}
        26:{1,3,5,6}:{(14,1),(17,1),(40,1),(44,1)}
        27:{1,3,4,7}:{(14,1),(18,1),(41,1),(44,1)}
        28:{1,2,5,6}:{(15,1),(42,1),(45,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(43,1),(45,1),(147,1),(153,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(44,1),(45,1),(46,1),(48,1),(80,1)}
        31:{2,4,5,6}:{(19,1),(40,1),(47,1),(48,1)}
        32:{1,3,4,5,7}:{(19,1),(44,1),(48,1),(49,1),(80,1),(110,1)}
        33:{1,2,3,4,6}:{(20,1),(50,1),(52,1),(86,1)}
        34:{1,2,3,5,7}:{(20,1),(21,1),(50,1),(51,1),(52,1),(54,1)}
        35:{1,2,4,5}:{(21,1),(22,1),(53,1)}
        36:{1,2,3,6}:{(21,1),(53,1),(54,1)}
        37:{1,3,4,5,7}:{(22,1),(23,1),(51,1),(55,1),(57,1),(85,1),(92,1),(118,1)}
        38:{1,3,4,6}:{(22,1),(24,1),(53,1),(56,1),(57,1)}
        39:{2,3,4,6}:{(23,1),(25,1),(55,1),(58,1)}
        40:{2,3,5,6}:{(24,1),(26,1),(31,1),(56,1),(60,1)}
        41:{2,3,4,7}:{(24,1),(27,1),(57,1),(60,1)}
        42:{1,3,5,6}:{(25,1),(28,1),(58,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(25,1),(27,1),(29,1),(59,1),(62,1),(63,1),(97,1),(140,1),(152,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(30,1),(60,1),(63,1)}
        45:{1,2,5,7}:{(28,1),(29,1),(62,1)}
        46:{1,2,4,6,7}:{(30,1),(63,1),(64,1),(66,1),(97,1)}
        47:{1,4,5,6}:{(31,1),(56,1),(65,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(60,1),(65,1),(66,1)}
        49:{1,3,4,6,7}:{(32,1),(63,1),(66,1),(67,1),(97,1),(124,1)}
        50:{1,2,3,5}:{(33,1),(68,1)}
        51:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(68,1),(70,1),(73,1),(104,1),(105,1)}
        52:{1,2,3,6}:{(34,1),(70,1)}
        53:{1,2,4,6}:{(35,1),(36,1),(38,1),(72,1),(73,1)}
        54:{1,2,3,7}:{(36,1),(73,1)}
        55:{1,3,4,6}:{(37,1),(39,1),(70,1),(74,1)}
        56:{1,3,5,6}:{(38,1),(40,1),(47,1),(72,1),(76,1)}
        57:{1,3,4,7}:{(38,1),(41,1),(73,1),(76,1)}
        58:{2,3,5,6}:{(39,1),(42,1),(74,1),(77,1),(78,1)}
        59:{2,3,4,6,7}:{(39,1),(41,1),(43,1),(75,1),(78,1),(79,1),(111,1),(130,1),(149,1)}
        60:{2,3,5,7}:{(40,1),(41,1),(44,1),(48,1),(76,1),(79,1)}
        61:{1,4,5,6}:{(42,1),(77,1),(80,1)}
        62:{1,3,5,7}:{(42,1),(43,1),(45,1),(78,1),(80,1)}
        63:{1,3,6,7}:{(44,1),(46,1),(79,1)}
        64:{1,2,5,6,7}:{(45,1),(46,1),(81,1),(83,1),(153,1)}
        65:{1,4,5,7}:{(47,1),(48,1),(76,1),(82,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(79,1),(82,1),(83,1)}
        67:{1,3,5,6,7}:{(49,1),(83,1),(84,1),(113,1)}
        68:{1,2,4,5}:{(50,1),(85,1),(86,1)}
        69:{1,2,3,5,6}:{(50,1),(52,1),(86,1),(87,1),(88,1),(117,1)}
        70:{1,2,4,6}:{(51,1),(52,1),(55,1),(88,1)}
        71:{1,2,3,6,7}:{(52,1),(54,1),(87,1),(89,1),(142,1)}
        72:{1,2,5,6}:{(53,1),(56,1),(90,1)}
        73:{1,2,4,7}:{(53,1),(54,1),(57,1),(90,1)}
        74:{1,3,5,6}:{(55,1),(58,1),(88,1),(91,1),(92,1)}
        75:{1,3,4,6,7}:{(55,1),(57,1),(59,1),(89,1),(92,1),(93,1),(118,1),(123,1),(142,1)}
        76:{1,3,5,7}:{(56,1),(57,1),(60,1),(65,1),(90,1),(93,1)}
        77:{2,4,5,6}:{(58,1),(61,1),(91,1),(94,1),(95,1)}
        78:{2,3,5,7}:{(58,1),(59,1),(62,1),(92,1),(95,1)}
        79:{2,3,6,7}:{(60,1),(63,1),(66,1),(93,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(95,1),(97,1)}
        81:{1,3,5,6,7}:{(62,1),(63,1),(64,1),(96,1),(97,1),(145,1),(152,1)}
        82:{1,4,6,7}:{(65,1),(66,1),(93,1),(98,1)}
        83:{2,5,6,7}:{(66,1),(67,1),(98,1)}
        84:{1,4,5,6,7}:{(67,1),(97,1),(99,1),(145,1)}
        85:{1,3,4,5}:{(68,1),(101,1),(102,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(102,1),(104,1)}
        87:{1,2,3,5,7}:{(69,1),(71,1),(104,1),(105,1),(131,1)}
        88:{1,2,5,6}:{(70,1),(74,1),(105,1)}
        89:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(104,1),(105,1),(106,1)}
        90:{1,2,5,7}:{(72,1),(73,1),(76,1),(106,1)}
        91:{1,4,5,6}:{(74,1),(77,1),(108,1)}
        92:{1,3,5,7}:{(74,1),(75,1),(78,1),(105,1),(108,1)}
        93:{1,3,6,7}:{(76,1),(79,1),(82,1),(106,1)}
        94:{3,4,5,6}:{(77,1),(110,1)}
        95:{2,4,5,7}:{(77,1),(78,1),(80,1),(108,1),(110,1),(111,1)}
        96:{2,3,5,6,7}:{(78,1),(79,1),(81,1),(83,1),(109,1),(111,1),(113,1),(136,1),(149,1)}
        97:{1,4,6,7}:{(80,1),(81,1),(111,1)}
        98:{1,5,6,7}:{(82,1),(83,1)}
        99:{2,4,5,6,7}:{(83,1),(84,1),(111,1),(112,1),(113,1),(136,1)}
       100:{1,2,3,4}:{(114,1)}
       101:{2,3,4,5}:{(85,1),(115,1),(116,1)}
       102:{1,3,4,6}:{(85,1),(86,1),(116,1),(117,1),(118,1)}
       103:{1,2,4,5,6}:{(86,1),(88,1),(91,1),(117,1),(119,1),(121,1)}
       104:{1,2,4,7}:{(86,1),(87,1),(118,1)}
       105:{1,2,5,7}:{(88,1),(89,1),(92,1)}
       106:{1,2,6,7}:{(90,1),(93,1)}
       107:{1,3,4,5,6}:{(91,1),(94,1),(117,1),(121,1),(122,1)}
       108:{1,4,5,7}:{(91,1),(92,1),(95,1),(123,1)}
       109:{1,3,5,6,7}:{(92,1),(93,1),(96,1),(98,1),(120,1),(123,1),(142,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(124,1)}
       111:{2,4,6,7}:{(95,1),(96,1),(97,1),(123,1),(124,1)}
       112:{1,4,5,6,7}:{(98,1),(99,1),(123,1),(125,1)}
       113:{3,5,6,7}:{(99,1),(124,1)}
       114:{1,2,3,5}:{(100,1),(126,1),(127,1)}
       115:{1,3,4,5}:{(101,1),(126,1),(128,1)}
       116:{2,3,4,6}:{(101,1),(102,1),(128,1),(129,1),(130,1)}
       117:{1,3,5,6}:{(102,1),(103,1),(129,1),(131,1)}
       118:{1,3,4,7}:{(102,1),(104,1),(130,1),(131,1)}
       119:{1,2,4,5,7}:{(103,1),(104,1),(105,1),(108,1),(131,1),(132,1),(134,1)}
       120:{1,2,5,6,7}:{(105,1),(106,1),(109,1),(132,1),(136,1)}
       121:{2,4,5,6}:{(107,1),(129,1),(133,1),(134,1)}
       122:{1,3,4,5,7}:{(107,1),(108,1),(110,1),(131,1),(134,1),(135,1)}
       123:{1,4,6,7}:{(108,1),(109,1),(111,1)}
       124:{3,4,6,7}:{(110,1),(111,1),(113,1)}
       125:{1,3,5,6,7}:{(112,1),(113,1),(135,1),(136,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(137,1)}
       127:{1,2,3,6}:{(114,1),(137,1),(138,1)}
       128:{1,3,4,6}:{(115,1),(116,1),(137,1),(139,1),(140,1)}
       129:{2,3,5,6}:{(116,1),(117,1),(121,1),(139,1),(141,1)}
       130:{2,3,4,7}:{(116,1),(118,1),(140,1),(141,1)}
       131:{1,3,5,7}:{(117,1),(118,1),(119,1),(141,1),(142,1)}
       132:{1,2,4,6,7}:{(119,1),(120,1),(123,1),(142,1),(144,1)}
       133:{1,4,5,6}:{(121,1),(139,1),(143,1)}
       134:{2,4,5,7}:{(121,1),(122,1),(141,1),(143,1),(144,1)}
       135:{1,3,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(142,1),(144,1)}
       136:{2,5,6,7}:{(125,1),(144,1),(145,1)}
       137:{1,2,4,6}:{(126,1),(127,1),(128,1),(146,1),(147,1)}
       138:{1,2,3,7}:{(127,1),(147,1)}
       139:{1,3,5,6}:{(128,1),(129,1),(133,1),(146,1),(148,1)}
       140:{1,3,4,7}:{(128,1),(130,1),(147,1),(148,1)}
       141:{2,3,5,7}:{(129,1),(130,1),(131,1),(134,1),(148,1),(149,1)}
       142:{1,3,6,7}:{(131,1),(132,1),(149,1)}
       143:{1,4,5,7}:{(133,1),(134,1),(148,1),(150,1)}
       144:{2,4,6,7}:{(134,1),(135,1),(136,1),(149,1),(150,1)}
       145:{1,5,6,7}:{(136,1),(150,1)}
       146:{1,2,5,6}:{(137,1),(139,1),(151,1)}
       147:{1,2,4,7}:{(137,1),(138,1),(140,1),(151,1)}
       148:{1,3,5,7}:{(139,1),(140,1),(141,1),(143,1),(151,1),(152,1)}
       149:{2,3,6,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,4,6,7}:{(143,1),(144,1),(145,1),(152,1)}
       151:{1,2,5,7}:{(146,1),(147,1),(148,1),(153,1)}
       152:{1,3,6,7}:{(148,1),(149,1),(150,1),(153,1)}
       153:{1,2,6,7}:{(151,1),(152,1)}

2891 :   0:{1,3,4,5,6,7}:{(1,1),(7,1),(22,1),(49,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(13,1),(32,1),(67,1)}
         2:{2,3,5,6,7}:{(1,1),(6,1),(7,1),(84,1)}
         3:{1,4,5,6,7}:{(1,1),(7,1),(47,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(52,1),(54,1),(67,1),(92,1)}
         5:{1,2,3,5,6,7}:{(11,1),(27,1),(31,1),(61,1),(62,1),(88,1),(102,1),(128,1),(138,1)}
         6:{2,3,4,6,7}:{(2,1),(9,1),(12,1),(32,1),(62,1),(92,1)}
         7:{1,3,5,6,7}:{(2,1),(3,1),(12,1),(13,1),(103,1)}
         8:{1,2,4,5,6,7}:{(3,1),(13,1),(14,1),(28,1),(29,1),(32,1),(66,1),(102,1),(105,1)}
         9:{2,3,4,5,7}:{(4,1),(6,1),(15,1),(48,1),(69,1)}
        10:{1,3,4,5,6}:{(4,1),(15,1),(16,1),(36,1),(73,1),(87,1),(111,1)}
        11:{1,2,4,6,7}:{(5,1),(17,1),(18,1),(47,1),(76,1),(82,1),(106,1),(133,1)}
        12:{1,3,4,6,7}:{(6,1),(7,1),(15,1),(19,1),(44,1),(47,1),(111,1)}
        13:{2,5,6,7}:{(7,1),(19,1),(118,1)}
        14:{1,3,5,6,7}:{(8,1),(21,1),(22,1),(43,1),(44,1),(83,1),(120,1)}
        15:{1,3,4,5,7}:{(9,1),(10,1),(12,1),(23,1),(50,1),(66,1)}
        16:{2,4,5,6}:{(10,1),(23,1),(25,1),(94,1),(125,1)}
        17:{1,3,4,6,7}:{(11,1),(26,1),(27,1),(57,1),(121,1),(138,1)}
        18:{1,2,4,5,7}:{(11,1),(27,1),(28,1),(56,1),(66,1),(102,1)}
        19:{2,4,6,7}:{(12,1),(13,1),(23,1),(30,1),(125,1)}
        20:{1,2,5,6,7}:{(13,1),(29,1),(31,1),(99,1),(102,1),(128,1)}
        21:{2,3,5,6,7}:{(13,1),(14,1),(30,1),(31,1),(32,1),(61,1),(62,1),(64,1),(102,1),(130,1)}
        22:{1,3,4,6,7}:{(14,1),(32,1),(33,1),(57,1),(131,1)}
        23:{2,4,5,7}:{(15,1),(16,1),(19,1),(35,1)}
        24:{1,2,4,5,6}:{(16,1),(34,1),(36,1),(72,1),(78,1),(87,1),(108,1),(114,1),(118,1),(133,1)}
        25:{2,3,5,6}:{(16,1),(35,1),(36,1),(37,1),(112,1),(134,1)}
        26:{2,3,4,6,7}:{(17,1),(41,1),(42,1),(76,1),(82,1),(109,1),(134,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(42,1),(43,1)}
        28:{1,2,4,5,6}:{(18,1),(43,1),(76,1),(87,1),(118,1),(133,1)}
        29:{1,2,4,6,7}:{(19,1),(20,1),(34,1),(44,1),(47,1),(82,1),(114,1),(133,1)}
        30:{2,3,6,7}:{(19,1),(35,1),(44,1),(134,1)}
        31:{1,3,5,6,7}:{(20,1),(21,1),(44,1),(47,1),(80,1),(83,1),(136,1)}
        32:{2,4,6,7}:{(21,1),(22,1),(47,1),(48,1),(76,1),(137,1)}
        33:{1,3,4,5,7}:{(22,1),(48,1),(49,1),(83,1)}
        34:{1,2,4,5,7}:{(23,1),(24,1),(29,1),(50,1),(66,1),(90,1),(102,1)}
        35:{2,3,5,7}:{(23,1),(25,1),(30,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(24,1),(25,1),(50,1),(52,1),(53,1),(98,1),(123,1),(126,1),(138,1)}
        37:{2,3,4,6}:{(25,1),(51,1),(53,1),(54,1)}
        38:{1,3,4,5,7}:{(27,1),(56,1),(57,1)}
        39:{1,2,3,5,6}:{(52,1),(55,1),(58,1),(98,1),(99,1),(126,1)}
        40:{1,2,3,6,7}:{(55,1),(59,1),(62,1),(126,1)}
        41:{1,3,4,6,7}:{(26,1),(59,1),(60,1),(95,1),(97,1),(126,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(56,1),(60,1),(61,1),(102,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(57,1),(61,1),(138,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(50,1),(62,1),(126,1),(138,1)}
        45:{2,3,4,6,7}:{(30,1),(32,1),(51,1),(63,1),(64,1),(92,1)}
        46:{1,2,3,5,6,7}:{(31,1),(55,1),(62,1),(65,1),(99,1),(102,1),(104,1),(126,1),(130,1)}
        47:{1,4,6,7}:{(31,1),(32,1),(66,1),(97,1),(139,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(102,1)}
        49:{1,3,4,5,6}:{(33,1),(57,1),(67,1),(103,1),(131,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(36,1),(44,1),(69,1),(70,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(70,1)}
        52:{2,3,5,6}:{(36,1),(69,1),(72,1),(112,1),(118,1),(134,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(70,1),(72,1),(73,1)}
        54:{2,3,4,5}:{(37,1),(73,1),(112,1)}
        55:{1,2,3,5,7}:{(39,1),(40,1),(69,1),(74,1),(79,1),(113,1)}
        56:{2,4,5,7}:{(38,1),(42,1),(75,1),(76,1)}
        57:{1,3,4,6}:{(38,1),(43,1),(76,1)}
        58:{1,2,4,6}:{(39,1),(72,1),(74,1),(77,1),(78,1)}
        59:{1,2,4,6,7}:{(40,1),(41,1),(74,1),(79,1),(82,1),(114,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(75,1),(79,1),(80,1)}
        61:{2,3,5,6}:{(42,1),(43,1),(76,1),(80,1),(118,1),(134,1)}
        62:{2,3,6,7}:{(44,1),(69,1),(82,1),(134,1)}
        63:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(70,1),(82,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(45,1),(48,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(74,1),(82,1),(85,1),(86,1),(114,1),(137,1)}
        66:{1,4,5,7}:{(47,1),(48,1),(83,1),(87,1)}
        67:{2,4,5,6}:{(48,1),(49,1),(76,1),(84,1),(87,1),(118,1),(137,1)}
        68:{1,2,3,5,6}:{(52,1),(88,1),(89,1),(123,1),(128,1),(138,1)}
        69:{2,3,5,7}:{(50,1),(52,1),(62,1),(90,1),(102,1)}
        70:{1,3,4,7}:{(50,1),(51,1),(53,1),(90,1)}
        71:{2,3,4,5,7}:{(51,1),(54,1),(56,1),(64,1),(91,1),(92,1),(124,1),(129,1)}
        72:{2,4,6}:{(52,1),(53,1),(90,1),(94,1)}
        73:{1,3,4,5}:{(53,1),(54,1),(94,1),(98,1),(123,1)}
        74:{1,2,4,7}:{(55,1),(58,1),(90,1),(95,1)}
        75:{1,4,5,7}:{(56,1),(60,1),(97,1)}
        76:{2,4,6}:{(56,1),(57,1),(61,1),(97,1)}
        77:{1,3,4,6}:{(58,1),(93,1),(95,1),(98,1),(126,1)}
        78:{1,2,4,5}:{(58,1),(94,1),(98,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(99,1),(102,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(97,1),(99,1),(126,1)}
        81:{1,2,3,6,7}:{(62,1),(88,1),(100,1),(138,1)}
        82:{2,4,6,7}:{(62,1),(63,1),(90,1),(102,1),(125,1)}
        83:{1,3,5,7}:{(63,1),(64,1),(66,1),(102,1),(103,1)}
        84:{2,3,5,6}:{(64,1),(67,1),(92,1),(103,1)}
        85:{1,3,4,6,7}:{(65,1),(95,1),(101,1),(104,1),(126,1),(131,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(102,1),(104,1),(105,1),(129,1)}
        87:{1,4,5,6}:{(66,1),(67,1),(97,1),(103,1),(139,1)}
        88:{1,2,3,5,7}:{(68,1),(69,1),(81,1),(106,1),(116,1),(132,1)}
        89:{1,2,4,6}:{(68,1),(72,1),(106,1),(107,1),(108,1)}
        90:{2,4,7}:{(69,1),(70,1),(72,1)}
        91:{1,3,4,5,7}:{(70,1),(71,1),(73,1),(75,1),(83,1),(110,1),(111,1),(113,1),(132,1),(135,1)}
        92:{2,3,4,6}:{(71,1),(76,1),(84,1),(111,1),(134,1),(137,1)}
        93:{2,3,4,6}:{(72,1),(77,1),(107,1),(109,1),(112,1),(134,1)}
        94:{2,4,5}:{(72,1),(73,1),(112,1)}
        95:{1,3,4,7}:{(74,1),(77,1),(109,1),(113,1)}
        96:{1,2,4,5,7}:{(74,1),(75,1),(78,1),(79,1),(110,1),(113,1),(114,1)}
        97:{1,4,6}:{(75,1),(76,1),(80,1)}
        98:{1,3,5}:{(77,1),(78,1),(112,1)}
        99:{1,2,5,6}:{(79,1),(80,1),(114,1),(118,1)}
       100:{1,2,4,6,7}:{(81,1),(82,1),(106,1),(115,1),(116,1),(133,1)}
       101:{2,3,4,6,7}:{(82,1),(85,1),(109,1),(115,1),(117,1),(134,1),(137,1)}
       102:{2,5,7}:{(82,1),(83,1),(118,1)}
       103:{1,3,5,6}:{(83,1),(84,1),(87,1),(111,1),(118,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(120,1)}
       105:{1,2,4,5,6}:{(86,1),(87,1),(114,1),(118,1),(120,1),(137,1)}
       106:{1,2,4,7}:{(88,1),(89,1),(90,1),(121,1)}
       107:{1,3,4,6}:{(89,1),(93,1),(121,1),(123,1),(138,1)}
       108:{1,2,4,5}:{(89,1),(94,1),(123,1)}
       109:{2,3,4,7}:{(90,1),(93,1),(95,1),(121,1),(124,1)}
       110:{2,4,5,7}:{(90,1),(91,1),(94,1),(102,1),(124,1),(125,1)}
       111:{1,3,4,6}:{(91,1),(92,1),(97,1),(103,1),(125,1),(126,1),(138,1),(139,1)}
       112:{2,3,5}:{(93,1),(94,1),(98,1),(123,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(98,1),(124,1),(126,1)}
       114:{1,2,4,6}:{(96,1),(97,1),(99,1),(125,1),(126,1)}
       115:{1,3,4,6,7}:{(100,1),(101,1),(121,1),(127,1),(138,1),(139,1)}
       116:{1,2,5,7}:{(100,1),(102,1),(127,1),(128,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(127,1),(129,1),(130,1)}
       118:{2,5,6}:{(102,1),(103,1),(125,1)}
       119:{1,3,4,5,7}:{(104,1),(129,1),(131,1)}
       120:{1,3,5,6}:{(104,1),(105,1),(126,1),(130,1),(131,1)}
       121:{1,3,4,7}:{(106,1),(107,1),(109,1),(132,1)}
       122:{1,2,4,5,7}:{(106,1),(108,1),(110,1),(116,1),(132,1),(133,1),(135,1)}
       123:{1,3,5}:{(107,1),(108,1),(112,1)}
       124:{2,3,5,7}:{(109,1),(110,1),(112,1),(113,1),(132,1),(134,1)}
       125:{2,4,6}:{(110,1),(111,1),(118,1),(134,1)}
       126:{1,3,6}:{(113,1),(114,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(135,1),(136,1)}
       128:{1,2,5,6}:{(116,1),(118,1),(133,1),(136,1)}
       129:{2,4,5,7}:{(117,1),(119,1),(135,1),(137,1)}
       130:{2,3,5,6}:{(117,1),(118,1),(120,1),(134,1),(136,1),(137,1)}
       131:{1,3,4,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,5,7}:{(121,1),(122,1),(123,1),(124,1),(138,1)}
       133:{1,2,4,6}:{(122,1),(125,1),(128,1),(138,1),(139,1)}
       134:{2,3,6}:{(124,1),(125,1),(126,1),(138,1)}
       135:{1,4,5,7}:{(127,1),(129,1),(139,1)}
       136:{1,3,5,6}:{(127,1),(128,1),(130,1),(138,1),(139,1)}
       137:{2,4,6}:{(129,1),(130,1),(131,1),(139,1)}
       138:{1,3,6}:{(132,1),(133,1),(134,1)}
       139:{1,4,6}:{(135,1),(136,1),(137,1)}

2892 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2893 :   0:{2,3,4,5,6}:{(1,1),(2,1),(16,1),(100,1)}
         1:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(9,1),(27,1),(95,1),(103,1),(104,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(93,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(10,1),(11,1),(72,1),(95,1)}
         4:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(13,1),(40,1),(72,1)}
         5:{1,2,3,4,6}:{(11,1),(13,1),(14,1),(40,1)}
         6:{2,4,5,6}:{(1,1),(16,1),(17,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(17,1),(18,1),(21,1),(44,1),(85,1),(99,1),(101,1)}
         8:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(48,1),(82,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(20,1),(21,1)}
        10:{1,2,4,5,7}:{(3,1),(17,1),(21,1),(22,1),(24,1),(56,1),(85,1)}
        11:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1)}
        12:{1,2,3,5,7}:{(4,1),(21,1),(24,1),(25,1),(56,1)}
        13:{1,2,3,5}:{(5,1),(23,1)}
        14:{1,2,3,4,7}:{(5,1),(24,1),(26,1)}
        15:{1,2,4,5,6}:{(6,1),(27,1),(28,1),(57,1),(102,1),(103,1)}
        16:{2,3,5,6}:{(6,1),(9,1),(27,1),(29,1),(30,1)}
        17:{2,4,5,7}:{(6,1),(7,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(7,1),(8,1),(31,1),(32,1),(36,1),(63,1),(71,1),(91,1),(94,1)}
        19:{2,3,5,6,7}:{(8,1),(32,1),(33,1)}
        20:{1,3,4,6}:{(9,1),(11,1),(29,1),(34,1),(35,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(30,1),(35,1),(36,1)}
        22:{1,2,4,6,7}:{(10,1),(31,1),(36,1),(37,1),(71,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(34,1)}
        24:{1,2,4,7}:{(11,1),(12,1),(35,1)}
        25:{1,2,3,6,7}:{(12,1),(36,1),(39,1),(40,1)}
        26:{1,2,3,5,7}:{(13,1),(14,1),(38,1),(40,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(43,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(17,1),(44,1),(45,1),(74,1),(97,1),(99,1)}
        29:{2,3,4,6}:{(16,1),(20,1),(43,1),(46,1),(47,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(21,1),(44,1),(47,1),(48,1)}
        31:{2,4,6,7}:{(17,1),(18,1),(48,1),(49,1)}
        32:{1,3,5,6,7}:{(18,1),(19,1),(49,1),(50,1),(83,1)}
        33:{2,4,5,6,7}:{(19,1),(50,1),(51,1),(82,1)}
        34:{1,3,4,5}:{(20,1),(23,1),(46,1)}
        35:{1,3,4,7}:{(20,1),(21,1),(24,1),(47,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(48,1)}
        37:{1,2,5,6,7}:{(22,1),(49,1),(54,1),(56,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(52,1),(55,1),(56,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1)}
        40:{1,2,3,6}:{(26,1),(55,1)}
        41:{1,2,3,5,6}:{(27,1),(57,1),(58,1),(59,1),(88,1),(102,1)}
        42:{1,2,3,4,6}:{(57,1),(59,1),(60,1),(88,1)}
        43:{1,3,4,6}:{(27,1),(29,1),(57,1),(61,1),(62,1)}
        44:{1,3,5,7}:{(27,1),(28,1),(30,1),(62,1),(63,1)}
        45:{1,2,4,6,7}:{(28,1),(31,1),(63,1),(64,1),(91,1)}
        46:{2,3,4,5}:{(29,1),(34,1),(61,1)}
        47:{2,3,4,7}:{(29,1),(30,1),(35,1),(62,1)}
        48:{2,3,6,7}:{(30,1),(31,1),(36,1),(63,1)}
        49:{2,5,6,7}:{(31,1),(32,1)}
        50:{1,4,5,6,7}:{(32,1),(33,1),(68,1),(71,1),(91,1)}
        51:{3,4,5,6,7}:{(33,1),(94,1)}
        52:{1,3,4,5,7}:{(34,1),(35,1),(38,1),(65,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(39,1),(66,1),(69,1),(70,1),(71,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(67,1),(70,1),(71,1)}
        55:{1,2,4,6}:{(38,1),(40,1),(69,1),(72,1)}
        56:{1,2,5,7}:{(39,1),(70,1),(72,1)}
        57:{1,2,4,6}:{(41,1),(43,1),(73,1),(74,1)}
        58:{1,2,3,5,7}:{(41,1),(44,1),(74,1),(75,1),(97,1)}
        59:{1,2,3,5}:{(42,1),(73,1)}
        60:{1,2,3,4,7}:{(42,1),(74,1),(76,1)}
        61:{1,3,4,5}:{(43,1),(46,1),(73,1)}
        62:{1,3,4,7}:{(43,1),(44,1),(47,1),(74,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(48,1)}
        64:{1,2,5,6,7}:{(45,1),(49,1),(79,1),(97,1)}
        65:{2,3,4,5,7}:{(46,1),(47,1),(52,1),(77,1),(80,1),(81,1)}
        66:{2,3,4,6,7}:{(47,1),(48,1),(53,1),(78,1),(80,1),(81,1),(82,1)}
        67:{2,3,5,6,7}:{(48,1),(49,1),(54,1),(79,1),(81,1),(82,1),(83,1)}
        68:{2,4,5,6,7}:{(49,1),(50,1),(82,1),(83,1)}
        69:{1,3,4,6}:{(52,1),(55,1),(80,1),(84,1)}
        70:{1,3,5,7}:{(53,1),(56,1),(81,1),(84,1),(85,1)}
        71:{1,4,6,7}:{(54,1),(82,1),(85,1)}
        72:{1,2,5,6}:{(55,1),(56,1),(84,1)}
        73:{1,2,4,5}:{(57,1),(59,1),(61,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(62,1)}
        75:{1,2,3,6,7}:{(58,1),(63,1),(87,1),(88,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(86,1),(88,1)}
        77:{1,3,4,5,7}:{(61,1),(62,1),(65,1),(86,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(62,1),(63,1),(66,1),(87,1),(89,1),(90,1),(91,1)}
        79:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,6}:{(65,1),(69,1),(89,1),(92,1)}
        81:{2,3,5,7}:{(66,1),(70,1),(90,1),(92,1),(93,1)}
        82:{2,4,6,7}:{(67,1),(71,1),(91,1),(93,1),(94,1)}
        83:{3,5,6,7}:{(68,1),(94,1)}
        84:{1,3,5,6}:{(69,1),(70,1),(72,1),(92,1),(95,1)}
        85:{1,4,5,7}:{(70,1),(71,1),(93,1),(95,1)}
        86:{1,2,4,5,7}:{(73,1),(74,1),(76,1),(77,1),(96,1),(97,1)}
        87:{1,2,4,6,7}:{(74,1),(75,1),(78,1),(96,1),(97,1)}
        88:{1,2,3,6}:{(76,1),(96,1)}
        89:{1,3,4,6}:{(77,1),(80,1),(96,1),(98,1)}
        90:{1,3,5,7}:{(78,1),(81,1),(97,1),(98,1),(99,1)}
        91:{1,4,6,7}:{(79,1),(82,1),(99,1)}
        92:{2,3,5,6}:{(80,1),(81,1),(84,1),(98,1),(100,1)}
        93:{2,4,5,7}:{(81,1),(82,1),(85,1),(99,1),(100,1),(101,1)}
        94:{3,4,6,7}:{(82,1),(83,1),(101,1)}
        95:{1,4,5,6}:{(84,1),(85,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(88,1),(89,1),(102,1)}
        97:{1,2,5,7}:{(87,1),(90,1),(102,1)}
        98:{1,3,5,6}:{(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(91,1),(93,1),(103,1)}
       100:{2,4,5,6}:{(92,1),(93,1),(95,1),(103,1),(104,1)}
       101:{3,4,5,7}:{(93,1),(94,1),(104,1)}
       102:{1,2,5,6}:{(96,1),(97,1),(98,1)}
       103:{1,4,5,6}:{(98,1),(99,1),(100,1)}
       104:{3,4,5,6}:{(100,1),(101,1)}

2894 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(19,1),(42,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(28,1),(59,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(78,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(40,1),(79,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(28,1),(55,1),(97,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(99,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(25,1),(28,1),(32,1),(50,1),(58,1),(98,1)}
         7:{1,2,3,5,6,7}:{(12,1),(27,1),(31,1),(55,1),(65,1),(86,1),(98,1),(125,1),(139,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(41,1),(73,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(38,1),(40,1),(115,1)}
        10:{2,5,6,7}:{(5,1),(16,1),(116,1)}
        11:{1,3,5,6,7}:{(6,1),(18,1),(19,1),(38,1),(47,1),(70,1),(77,1)}
        12:{1,2,4,6,7}:{(7,1),(20,1),(21,1),(40,1),(76,1),(83,1),(106,1),(135,1)}
        13:{1,2,3,5,6,7}:{(22,1),(27,1),(49,1),(55,1),(60,1),(91,1),(98,1),(104,1),(131,1)}
        14:{2,3,4,5,6}:{(8,1),(23,1),(59,1),(92,1),(94,1),(97,1)}
        15:{1,3,4,5,7}:{(8,1),(9,1),(23,1),(24,1),(53,1),(58,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(129,1)}
        17:{1,2,5,6,7}:{(10,1),(25,1),(27,1),(98,1),(104,1),(125,1)}
        18:{2,3,5,6,7}:{(10,1),(11,1),(26,1),(27,1),(28,1),(55,1),(57,1),(65,1),(91,1),(98,1)}
        19:{1,3,4,6,7}:{(11,1),(28,1),(29,1),(62,1),(88,1)}
        20:{1,3,4,6,7}:{(12,1),(30,1),(31,1),(62,1),(122,1),(139,1)}
        21:{1,2,4,5,7}:{(12,1),(31,1),(32,1),(58,1),(61,1),(98,1)}
        22:{1,2,4,6,7}:{(13,1),(33,1),(34,1),(40,1),(76,1),(81,1),(108,1),(120,1)}
        23:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(71,1),(79,1),(112,1),(115,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(35,1),(37,1)}
        25:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(38,1),(40,1),(76,1),(120,1),(135,1)}
        26:{2,3,6,7}:{(16,1),(37,1),(38,1),(137,1)}
        27:{1,3,5,6,7}:{(17,1),(18,1),(38,1),(40,1),(77,1),(85,1),(110,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(40,1),(41,1),(83,1),(108,1)}
        29:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(77,1)}
        30:{2,3,4,6,7}:{(20,1),(45,1),(46,1),(76,1),(83,1),(113,1),(137,1)}
        31:{1,3,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        32:{1,2,4,5,6}:{(21,1),(47,1),(79,1),(83,1),(116,1),(135,1)}
        33:{1,3,4,6,7}:{(22,1),(48,1),(49,1),(88,1),(101,1),(131,1)}
        34:{1,2,4,5,7}:{(22,1),(49,1),(50,1),(58,1),(87,1),(98,1)}
        35:{2,4,5,6}:{(23,1),(24,1),(52,1),(127,1),(129,1)}
        36:{1,2,4,5,7}:{(24,1),(25,1),(51,1),(53,1),(58,1),(95,1),(98,1)}
        37:{2,3,5,7}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(53,1),(55,1),(131,1),(139,1)}
        39:{2,3,4,6,7}:{(26,1),(28,1),(54,1),(56,1),(57,1),(97,1)}
        40:{1,4,6,7}:{(27,1),(28,1),(58,1),(103,1),(124,1)}
        41:{2,4,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(98,1)}
        42:{1,3,4,5,6}:{(29,1),(59,1),(62,1),(88,1),(99,1)}
        43:{1,3,4,5,7}:{(31,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(55,1),(60,1),(63,1),(131,1)}
        45:{1,3,4,6,7}:{(30,1),(63,1),(64,1),(101,1),(103,1),(131,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(61,1),(64,1),(65,1),(98,1)}
        47:{1,3,5,6}:{(31,1),(32,1),(62,1),(65,1),(139,1)}
        48:{2,3,4,6,7}:{(33,1),(68,1),(69,1),(76,1),(108,1),(113,1),(137,1)}
        49:{1,3,5,7}:{(33,1),(34,1),(69,1),(70,1)}
        50:{1,2,4,5,6}:{(34,1),(70,1),(79,1),(108,1),(116,1),(120,1)}
        51:{1,2,4,5,6}:{(35,1),(36,1),(71,1),(79,1),(111,1),(116,1),(118,1),(120,1),(133,1),(135,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(71,1),(72,1),(136,1),(137,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(38,1),(71,1),(73,1),(74,1)}
        54:{2,3,4,7}:{(37,1),(72,1),(74,1)}
        55:{2,3,6,7}:{(38,1),(73,1),(76,1),(137,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(40,1),(74,1),(76,1),(77,1),(115,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(77,1),(78,1)}
        58:{1,4,5,7}:{(40,1),(41,1),(77,1),(79,1)}
        59:{2,4,5,6}:{(41,1),(42,1),(78,1),(79,1),(83,1),(108,1),(116,1)}
        60:{1,2,3,5,7}:{(44,1),(73,1),(80,1),(81,1),(84,1),(119,1)}
        61:{2,4,5,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,3,4,6}:{(43,1),(47,1),(83,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(76,1),(81,1),(84,1),(120,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(82,1),(84,1),(85,1)}
        65:{2,3,5,6}:{(46,1),(47,1),(83,1),(85,1),(116,1),(137,1)}
        66:{1,3,4,5,7}:{(49,1),(87,1),(88,1)}
        67:{1,2,3,6,7}:{(55,1),(86,1),(89,1),(139,1)}
        68:{1,3,4,6,7}:{(48,1),(89,1),(90,1),(122,1),(124,1),(139,1)}
        69:{2,3,5,7}:{(48,1),(49,1),(87,1),(90,1),(91,1),(98,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(88,1),(91,1),(131,1)}
        71:{1,3,5,6}:{(51,1),(52,1),(53,1),(92,1),(93,1),(130,1),(131,1),(138,1),(139,1)}
        72:{2,3,4,6}:{(52,1),(54,1),(93,1),(94,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(92,1),(95,1),(98,1)}
        74:{1,3,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{2,3,4,5,7}:{(54,1),(57,1),(61,1),(87,1),(94,1),(96,1),(97,1),(128,1)}
        76:{2,4,6,7}:{(55,1),(56,1),(95,1),(98,1),(129,1)}
        77:{1,3,5,7}:{(56,1),(57,1),(58,1),(98,1),(99,1)}
        78:{2,3,5,6}:{(57,1),(59,1),(97,1),(99,1)}
        79:{1,4,5,6}:{(58,1),(59,1),(99,1),(103,1),(124,1)}
        80:{1,2,3,5,6}:{(60,1),(92,1),(100,1),(104,1),(130,1),(131,1)}
        81:{1,2,4,7}:{(60,1),(95,1),(100,1),(101,1)}
        82:{1,4,5,7}:{(61,1),(64,1),(103,1)}
        83:{2,4,6}:{(61,1),(62,1),(65,1),(103,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(98,1),(104,1)}
        85:{1,3,5,6}:{(64,1),(65,1),(103,1),(104,1),(131,1)}
        86:{1,2,3,5,7}:{(67,1),(73,1),(105,1),(106,1),(109,1),(134,1)}
        87:{2,4,5,7}:{(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,4,6}:{(66,1),(70,1),(108,1)}
        89:{1,2,4,6,7}:{(67,1),(68,1),(76,1),(106,1),(109,1),(135,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1)}
        91:{2,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(116,1),(137,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(116,1),(136,1),(137,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(74,1),(111,1),(112,1)}
        94:{2,3,4,5}:{(72,1),(112,1),(136,1)}
        95:{2,4,7}:{(73,1),(74,1),(111,1)}
        96:{1,3,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(107,1),(112,1),(114,1),(115,1),(119,1),(134,1)}
        97:{2,3,4,6}:{(75,1),(78,1),(83,1),(108,1),(115,1),(137,1)}
        98:{2,5,7}:{(76,1),(77,1),(116,1)}
        99:{1,3,5,6}:{(77,1),(78,1),(79,1),(115,1),(116,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(111,1),(117,1),(118,1)}
       101:{1,3,4,7}:{(81,1),(113,1),(117,1),(119,1)}
       102:{1,2,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(118,1),(119,1),(120,1)}
       103:{1,4,6}:{(82,1),(83,1),(85,1)}
       104:{1,2,5,6}:{(84,1),(85,1),(116,1),(120,1)}
       105:{1,2,3,5,6}:{(86,1),(92,1),(121,1),(125,1),(138,1),(139,1)}
       106:{1,2,4,7}:{(86,1),(95,1),(121,1),(122,1)}
       107:{1,4,5,7}:{(87,1),(90,1),(124,1)}
       108:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       109:{1,2,5,7}:{(89,1),(90,1),(98,1),(125,1)}
       110:{1,3,5,6}:{(90,1),(91,1),(124,1),(125,1),(139,1)}
       111:{2,4,6}:{(92,1),(93,1),(95,1),(127,1)}
       112:{1,3,4,5}:{(93,1),(94,1),(127,1),(130,1),(138,1)}
       113:{2,3,4,7}:{(95,1),(101,1),(122,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(95,1),(96,1),(98,1),(127,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(99,1),(103,1),(124,1),(129,1),(131,1),(139,1)}
       116:{2,5,6}:{(98,1),(99,1),(129,1)}
       117:{1,3,4,6}:{(100,1),(101,1),(126,1),(130,1),(131,1)}
       118:{1,2,4,5}:{(100,1),(127,1),(130,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(128,1),(130,1),(131,1)}
       120:{1,2,4,6}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       121:{1,2,4,6}:{(105,1),(106,1),(111,1),(132,1),(133,1)}
       122:{1,3,4,7}:{(106,1),(113,1),(132,1),(134,1)}
       123:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(133,1),(134,1),(135,1)}
       124:{1,4,6}:{(107,1),(108,1),(110,1)}
       125:{1,2,5,6}:{(109,1),(110,1),(116,1),(135,1)}
       126:{2,3,4,6}:{(111,1),(113,1),(117,1),(132,1),(136,1),(137,1)}
       127:{2,4,5}:{(111,1),(112,1),(136,1)}
       128:{2,3,5,7}:{(113,1),(114,1),(119,1),(134,1),(136,1),(137,1)}
       129:{2,4,6}:{(114,1),(115,1),(116,1),(137,1)}
       130:{1,3,5}:{(117,1),(118,1),(136,1)}
       131:{1,3,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,4,6}:{(121,1),(122,1),(126,1),(138,1),(139,1)}
       133:{1,2,4,5}:{(121,1),(127,1),(138,1)}
       134:{1,3,5,7}:{(122,1),(123,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,6}:{(123,1),(124,1),(125,1),(129,1),(139,1)}
       136:{2,3,5}:{(126,1),(127,1),(130,1),(138,1)}
       137:{2,3,6}:{(128,1),(129,1),(131,1),(139,1)}
       138:{1,3,5}:{(132,1),(133,1),(136,1)}
       139:{1,3,6}:{(134,1),(135,1),(137,1)}

2895 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(25,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(29,1),(30,1)}
         4:{1,2,4,5}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(37,1),(41,1)}
         7:{1,2,3,4,7}:{(3,1),(16,1),(47,1)}
         8:{1,2,3,5}:{(3,1),(15,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(49,1),(82,1)}
        10:{1,3,4,5}:{(4,1),(18,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(59,1)}
        12:{1,2,4,6}:{(4,1),(6,1),(22,1),(25,1)}
        13:{1,2,3,6}:{(5,1),(24,1)}
        14:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(55,1),(59,1)}
        15:{1,2,4,5}:{(8,1),(27,1),(29,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(29,1),(30,1),(31,1),(60,1),(64,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(37,1),(60,1),(73,1),(90,1),(94,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(66,1),(95,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(38,1),(39,1),(74,1)}
        22:{1,3,4,6}:{(10,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(37,1),(40,1),(41,1),(73,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(38,1),(41,1)}
        25:{1,2,4,7}:{(12,1),(14,1),(39,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(42,1),(72,1)}
        27:{1,3,4,5}:{(15,1),(18,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(46,1),(47,1),(80,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(44,1),(47,1)}
        30:{1,2,3,6}:{(16,1),(46,1)}
        31:{1,2,3,5,7}:{(17,1),(47,1),(48,1),(76,1),(80,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(50,1),(51,1),(83,1)}
        33:{2,3,4,6}:{(18,1),(22,1),(44,1),(49,1),(51,1)}
        34:{2,4,5,6}:{(19,1),(49,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(55,1),(76,1),(88,1),(99,1),(101,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(81,1),(100,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(24,1),(50,1),(56,1)}
        39:{1,3,4,7}:{(22,1),(25,1),(51,1),(55,1)}
        40:{1,2,4,5,7}:{(23,1),(25,1),(52,1),(55,1),(58,1),(59,1),(88,1)}
        41:{1,2,5,6}:{(24,1),(56,1),(59,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(57,1),(59,1)}
        43:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(61,1),(62,1),(91,1)}
        44:{1,3,4,6}:{(27,1),(29,1),(33,1),(60,1),(62,1)}
        45:{1,2,4,5,6}:{(29,1),(34,1),(60,1),(63,1),(64,1),(90,1)}
        46:{1,2,4,6}:{(28,1),(30,1),(61,1),(64,1)}
        47:{1,2,4,7}:{(29,1),(31,1),(62,1)}
        48:{1,2,3,6,7}:{(30,1),(31,1),(65,1),(89,1)}
        49:{2,3,5,6}:{(33,1),(34,1),(37,1),(60,1),(66,1)}
        50:{2,3,4,6}:{(32,1),(38,1),(61,1),(67,1)}
        51:{2,3,4,7}:{(33,1),(39,1),(62,1),(66,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(66,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(72,1),(89,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(39,1),(40,1),(66,1),(72,1)}
        56:{1,3,5,6}:{(38,1),(41,1),(67,1),(73,1),(74,1)}
        57:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(68,1),(72,1),(74,1),(97,1)}
        58:{1,2,4,6,7}:{(40,1),(69,1),(72,1),(75,1),(97,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(74,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(49,1),(76,1)}
        61:{1,3,4,6}:{(43,1),(46,1),(50,1),(77,1)}
        62:{1,3,4,7}:{(44,1),(47,1),(51,1),(76,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(52,1),(76,1),(79,1),(80,1),(99,1)}
        64:{1,2,5,6}:{(46,1),(77,1),(80,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(78,1),(80,1)}
        66:{2,3,5,7}:{(49,1),(51,1),(52,1),(55,1),(76,1),(81,1)}
        67:{2,3,5,6}:{(50,1),(56,1),(77,1),(82,1),(83,1)}
        68:{2,3,4,6,7}:{(50,1),(51,1),(57,1),(78,1),(81,1),(83,1),(100,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(81,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(100,1)}
        72:{1,3,6,7}:{(55,1),(58,1),(81,1)}
        73:{1,4,5,6}:{(56,1),(82,1),(88,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(59,1),(83,1),(88,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(87,1)}
        76:{1,3,5,7}:{(60,1),(62,1),(63,1),(66,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(64,1),(67,1),(90,1),(91,1)}
        78:{1,3,4,6,7}:{(61,1),(62,1),(65,1),(68,1),(89,1),(91,1),(103,1)}
        79:{1,2,4,6,7}:{(63,1),(69,1),(89,1),(92,1),(103,1)}
        80:{1,2,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,3,6,7}:{(66,1),(69,1),(72,1),(89,1)}
        82:{2,4,5,6}:{(67,1),(73,1),(90,1),(94,1),(95,1)}
        83:{2,3,5,7}:{(67,1),(68,1),(74,1),(91,1),(95,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,3,5,6,7}:{(72,1),(74,1),(75,1),(93,1),(97,1)}
        88:{1,4,5,7}:{(73,1),(74,1),(95,1),(97,1)}
        89:{1,3,6,7}:{(76,1),(79,1),(81,1)}
        90:{1,4,5,6}:{(77,1),(82,1),(99,1)}
        91:{1,3,5,7}:{(77,1),(78,1),(80,1),(83,1),(99,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(98,1)}
        93:{2,3,5,6,7}:{(81,1),(83,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        94:{3,4,5,6}:{(82,1),(101,1)}
        95:{2,4,5,7}:{(82,1),(83,1),(88,1),(99,1),(100,1),(101,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(100,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(100,1)}
        98:{1,3,5,6,7}:{(89,1),(91,1),(92,1),(93,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(91,1),(95,1),(103,1)}
       100:{2,4,6,7}:{(93,1),(95,1),(97,1),(103,1),(104,1)}
       101:{3,4,5,7}:{(94,1),(95,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(100,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

2896 :   0:{1,2,3,4,6}:{(2,1),(3,1),(16,1),(19,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(23,1),(90,1)}
         2:{1,2,3,5}:{(0,1),(7,1)}
         3:{1,2,3,4,7}:{(0,1),(9,1),(31,1)}
         4:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(14,1),(37,1),(81,1),(97,1),(100,1)}
         5:{2,3,4,5,7}:{(1,1),(11,1),(12,1),(41,1),(99,1)}
         6:{1,2,4,5,6}:{(10,1),(14,1),(15,1),(16,1),(50,1),(81,1)}
         7:{1,2,4,5}:{(2,1),(13,1),(16,1)}
         8:{1,2,3,5,6}:{(2,1),(14,1),(16,1),(18,1),(19,1),(50,1)}
         9:{1,2,3,5,7}:{(2,1),(3,1),(17,1),(19,1)}
        10:{2,4,5,6}:{(4,1),(23,1),(24,1)}
        11:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(56,1),(93,1),(103,1),(104,1)}
        12:{2,3,4,6,7}:{(5,1),(25,1),(26,1),(60,1),(91,1)}
        13:{1,3,4,5}:{(7,1),(22,1),(27,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(27,1),(29,1)}
        15:{1,2,4,5,7}:{(6,1),(24,1),(29,1),(30,1),(31,1),(67,1),(93,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(27,1),(31,1)}
        17:{1,2,4,5,7}:{(7,1),(9,1),(28,1),(31,1),(32,1),(67,1)}
        18:{1,2,3,5,7}:{(8,1),(29,1),(31,1),(33,1),(67,1)}
        19:{1,2,3,6}:{(9,1),(32,1)}
        20:{1,2,3,4,6}:{(34,1),(35,1),(68,1),(71,1)}
        21:{1,2,4,5,6}:{(10,1),(37,1),(38,1),(68,1),(95,1),(97,1)}
        22:{2,3,4,5}:{(13,1),(36,1),(39,1)}
        23:{2,3,5,6}:{(10,1),(14,1),(37,1),(39,1),(41,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(41,1),(42,1)}
        25:{1,3,4,6,7}:{(11,1),(12,1),(42,1),(43,1),(47,1),(74,1),(82,1),(98,1),(101,1)}
        26:{2,3,5,6,7}:{(12,1),(43,1),(44,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(16,1),(39,1),(45,1)}
        28:{1,3,4,5,7}:{(13,1),(17,1),(40,1),(45,1),(46,1),(80,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(41,1),(45,1),(47,1)}
        30:{1,2,4,6,7}:{(15,1),(42,1),(47,1),(48,1),(82,1)}
        31:{1,2,4,7}:{(16,1),(18,1),(45,1)}
        32:{1,2,4,6}:{(17,1),(19,1),(46,1),(50,1)}
        33:{1,2,3,6,7}:{(18,1),(19,1),(47,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(51,1)}
        35:{1,2,3,4,7}:{(20,1),(53,1),(83,1)}
        36:{1,3,4,5}:{(22,1),(51,1),(54,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(54,1),(56,1)}
        38:{1,2,4,5,7}:{(21,1),(24,1),(56,1),(57,1),(83,1),(102,1),(103,1)}
        39:{2,3,4,6}:{(22,1),(23,1),(27,1),(54,1),(58,1)}
        40:{2,3,4,5,7}:{(22,1),(28,1),(55,1),(58,1),(59,1),(89,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(29,1),(56,1),(58,1),(60,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(61,1)}
        43:{1,3,5,6,7}:{(25,1),(26,1),(61,1),(62,1),(92,1)}
        44:{2,4,5,6,7}:{(26,1),(62,1),(63,1),(91,1)}
        45:{1,3,4,7}:{(27,1),(29,1),(31,1),(58,1)}
        46:{1,3,4,6}:{(28,1),(32,1),(59,1),(65,1)}
        47:{1,3,6,7}:{(29,1),(30,1),(60,1)}
        48:{1,2,5,6,7}:{(30,1),(61,1),(66,1),(67,1)}
        49:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(64,1),(67,1)}
        50:{1,2,5,6}:{(32,1),(65,1),(67,1)}
        51:{1,2,4,5}:{(34,1),(36,1),(68,1)}
        52:{1,2,3,5,6}:{(34,1),(37,1),(68,1),(70,1),(71,1),(95,1)}
        53:{1,2,3,5,7}:{(34,1),(35,1),(69,1),(71,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(39,1),(68,1),(72,1)}
        55:{1,3,4,5,7}:{(36,1),(40,1),(69,1),(72,1),(73,1),(96,1)}
        56:{1,3,5,7}:{(37,1),(38,1),(41,1),(72,1),(74,1)}
        57:{1,2,4,6,7}:{(38,1),(42,1),(74,1),(75,1),(98,1)}
        58:{2,3,4,7}:{(39,1),(41,1),(45,1),(72,1)}
        59:{2,3,4,6}:{(40,1),(46,1),(73,1),(77,1)}
        60:{2,3,6,7}:{(41,1),(42,1),(47,1),(74,1)}
        61:{2,5,6,7}:{(42,1),(43,1)}
        62:{1,4,5,6,7}:{(43,1),(44,1),(79,1),(82,1),(98,1)}
        63:{3,4,5,6,7}:{(44,1),(101,1)}
        64:{1,3,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(76,1),(80,1),(82,1)}
        65:{1,3,5,6}:{(46,1),(50,1),(77,1),(80,1),(81,1)}
        66:{1,3,5,6,7}:{(47,1),(48,1),(78,1),(80,1),(82,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(80,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(54,1),(83,1)}
        69:{1,2,4,5,7}:{(51,1),(53,1),(55,1),(83,1),(84,1),(102,1)}
        70:{1,2,3,5,7}:{(52,1),(56,1),(83,1),(85,1),(102,1)}
        71:{1,2,3,6}:{(53,1),(84,1)}
        72:{1,3,4,7}:{(54,1),(56,1),(58,1),(83,1)}
        73:{1,3,4,6}:{(55,1),(59,1),(84,1),(87,1)}
        74:{1,3,6,7}:{(56,1),(57,1),(60,1)}
        75:{1,2,5,6,7}:{(57,1),(61,1),(88,1),(102,1)}
        76:{2,3,4,6,7}:{(58,1),(59,1),(60,1),(64,1),(86,1),(89,1),(91,1)}
        77:{2,3,5,6}:{(59,1),(65,1),(87,1),(89,1),(90,1)}
        78:{2,3,5,6,7}:{(60,1),(61,1),(66,1),(88,1),(89,1),(91,1),(92,1)}
        79:{2,4,5,6,7}:{(61,1),(62,1),(91,1),(92,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(67,1),(89,1),(93,1)}
        81:{1,4,5,6}:{(65,1),(90,1),(93,1)}
        82:{1,4,6,7}:{(66,1),(91,1),(93,1)}
        83:{1,2,4,7}:{(68,1),(70,1),(72,1)}
        84:{1,2,4,6}:{(69,1),(71,1),(73,1),(95,1)}
        85:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(94,1)}
        86:{1,3,4,6,7}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(98,1)}
        87:{1,3,5,6}:{(73,1),(77,1),(95,1),(96,1),(97,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(78,1),(96,1),(98,1)}
        89:{2,3,5,7}:{(76,1),(77,1),(80,1),(96,1),(99,1)}
        90:{2,4,5,6}:{(77,1),(81,1),(97,1),(99,1),(100,1)}
        91:{2,4,6,7}:{(78,1),(82,1),(98,1),(99,1),(101,1)}
        92:{3,5,6,7}:{(79,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(99,1)}
        94:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(86,1),(102,1)}
        95:{1,2,5,6}:{(84,1),(87,1),(102,1)}
        96:{1,3,5,7}:{(86,1),(87,1),(89,1),(102,1),(103,1)}
        97:{1,4,5,6}:{(87,1),(90,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(91,1),(103,1)}
        99:{2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(103,1),(104,1)}
       100:{3,4,5,6}:{(90,1),(104,1)}
       101:{3,4,6,7}:{(91,1),(92,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(99,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

2897 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{1,2,3,5,6,7}:{(7,1),(21,1),(41,1),(51,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         3:{2,3,4,5,6}:{(6,1),(8,1),(52,1),(54,1),(80,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(3,1),(9,1),(12,1),(60,1),(62,1)}
         7:{1,2,4,6,7}:{(2,1),(13,1),(14,1),(59,1),(67,1),(94,1),(100,1),(128,1)}
         8:{1,3,4,5,6}:{(3,1),(12,1),(15,1),(36,1),(72,1),(99,1),(103,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(84,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(22,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(8,1),(16,1),(19,1),(44,1),(79,1)}
        13:{1,3,4,6,7}:{(7,1),(20,1),(21,1),(48,1),(115,1),(135,1)}
        14:{1,2,4,5,7}:{(7,1),(21,1),(22,1),(47,1),(79,1),(111,1)}
        15:{2,4,5,6}:{(8,1),(19,1),(24,1),(91,1),(118,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(103,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(35,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(15,1),(25,1),(30,1)}
        20:{2,3,4,6,7}:{(13,1),(33,1),(34,1),(67,1),(94,1),(101,1),(129,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(34,1),(35,1)}
        22:{1,2,4,5,6}:{(14,1),(35,1),(67,1),(99,1),(124,1),(128,1)}
        23:{1,2,4,5,6}:{(15,1),(29,1),(36,1),(71,1),(74,1),(99,1),(105,1),(107,1),(124,1),(128,1)}
        24:{2,3,5,6}:{(15,1),(30,1),(36,1),(37,1),(108,1),(129,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(118,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(88,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(51,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(48,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(23,1),(39,1),(44,1),(79,1),(82,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(21,1),(47,1),(48,1)}
        32:{1,2,3,6,7}:{(46,1),(49,1),(75,1),(119,1)}
        33:{1,3,4,6,7}:{(20,1),(49,1),(50,1),(85,1),(87,1),(119,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(47,1),(50,1),(51,1),(111,1)}
        35:{1,3,5,6}:{(21,1),(22,1),(48,1),(51,1),(135,1)}
        36:{1,3,5,6}:{(23,1),(24,1),(44,1),(52,1),(53,1),(92,1),(119,1),(120,1),(135,1)}
        37:{2,3,4,6}:{(24,1),(45,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(46,1),(52,1),(55,1),(88,1),(92,1),(119,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(105,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(69,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(67,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(36,1),(56,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(30,1),(37,1),(63,1)}
        46:{1,2,3,5,7}:{(32,1),(38,1),(62,1),(65,1),(68,1),(104,1)}
        47:{2,4,5,7}:{(31,1),(34,1),(66,1),(67,1)}
        48:{1,3,4,6}:{(31,1),(35,1),(67,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(65,1),(68,1),(94,1),(105,1)}
        50:{1,3,5,7}:{(33,1),(34,1),(66,1),(68,1),(69,1)}
        51:{2,3,5,6}:{(34,1),(35,1),(67,1),(69,1),(124,1),(129,1)}
        52:{2,3,5,6}:{(36,1),(62,1),(71,1),(108,1),(124,1),(129,1)}
        53:{1,3,4,6}:{(36,1),(37,1),(63,1),(71,1),(72,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(108,1)}
        55:{1,2,4,6}:{(38,1),(65,1),(71,1),(73,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(119,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(84,1)}
        58:{1,2,3,5,6,7}:{(41,1),(46,1),(75,1),(78,1),(88,1),(111,1),(113,1),(119,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(87,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(48,1),(80,1),(112,1),(134,1)}
        62:{2,3,5,7}:{(44,1),(52,1),(75,1),(82,1),(111,1)}
        63:{1,3,4,7}:{(44,1),(45,1),(53,1),(82,1)}
        64:{2,3,4,5,7}:{(45,1),(47,1),(54,1),(77,1),(83,1),(84,1),(117,1),(132,1)}
        65:{1,2,4,7}:{(46,1),(55,1),(82,1),(85,1)}
        66:{1,4,5,7}:{(47,1),(50,1),(87,1)}
        67:{2,4,6}:{(47,1),(48,1),(51,1),(87,1)}
        68:{1,2,5,7}:{(49,1),(50,1),(88,1),(111,1)}
        69:{1,3,5,6}:{(50,1),(51,1),(87,1),(88,1),(119,1)}
        70:{1,2,3,5,6}:{(52,1),(81,1),(89,1),(120,1),(131,1),(135,1)}
        71:{2,4,6}:{(52,1),(53,1),(82,1),(91,1)}
        72:{1,3,4,5}:{(53,1),(54,1),(91,1),(92,1),(120,1)}
        73:{1,3,4,6}:{(55,1),(85,1),(90,1),(92,1),(119,1)}
        74:{1,2,4,5}:{(55,1),(91,1),(92,1)}
        75:{2,3,6,7}:{(56,1),(62,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(94,1),(95,1),(103,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(65,1),(94,1),(97,1),(98,1),(105,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(67,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(70,1),(93,1),(100,1),(122,1),(127,1)}
        82:{2,4,7}:{(62,1),(63,1),(71,1)}
        83:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(72,1),(95,1),(102,1),(103,1),(104,1),(127,1),(136,1)}
        84:{2,3,4,6}:{(64,1),(67,1),(96,1),(103,1),(129,1),(138,1)}
        85:{1,3,4,7}:{(65,1),(73,1),(101,1),(104,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(74,1),(102,1),(104,1),(105,1)}
        87:{1,4,6}:{(66,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(68,1),(69,1),(105,1),(124,1)}
        89:{1,2,4,6}:{(70,1),(71,1),(100,1),(106,1),(107,1)}
        90:{2,3,4,6}:{(71,1),(73,1),(101,1),(106,1),(108,1),(129,1)}
        91:{2,4,5}:{(71,1),(72,1),(108,1)}
        92:{1,3,5}:{(73,1),(74,1),(108,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(82,1),(111,1),(118,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(84,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(85,1),(110,1),(113,1),(119,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(87,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(89,1),(115,1)}
       101:{2,3,4,7}:{(82,1),(85,1),(90,1),(115,1),(117,1)}
       102:{2,4,5,7}:{(82,1),(83,1),(91,1),(111,1),(117,1),(118,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(87,1),(112,1),(118,1),(119,1),(135,1),(139,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(92,1),(117,1),(119,1)}
       105:{1,2,4,6}:{(86,1),(87,1),(88,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(115,1),(120,1),(135,1)}
       107:{1,2,4,5}:{(89,1),(91,1),(120,1)}
       108:{2,3,5}:{(90,1),(91,1),(92,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(101,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(103,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(105,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(106,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(107,1),(122,1),(127,1),(128,1),(136,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(108,1),(127,1),(129,1)}
       118:{2,4,6}:{(102,1),(103,1),(124,1),(129,1)}
       119:{1,3,6}:{(104,1),(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(118,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(119,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(120,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(118,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(117,1),(118,1),(119,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2898 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(33,1),(41,1),(85,1),(88,1),(91,1),(93,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(48,1),(55,1),(80,1),(82,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(64,1),(91,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(63,1),(88,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(49,1),(81,1),(82,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(46,1),(74,1),(80,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(93,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(88,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(91,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(63,1),(88,1),(92,1)}
        13:{1,2,3,5,7}:{(8,1),(20,1),(23,1),(27,1),(53,1),(98,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(82,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(74,1),(81,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(75,1),(100,1)}
        20:{1,2,3,5,6}:{(13,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        21:{1,3,4,5,6}:{(15,1),(31,1),(32,1),(59,1),(89,1)}
        22:{2,3,4,5,7}:{(14,1),(34,1),(35,1),(60,1),(66,1),(86,1),(103,1)}
        23:{1,2,4,7}:{(13,1),(30,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(32,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(88,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(60,1),(88,1),(93,1)}
        30:{1,2,4,6}:{(20,1),(23,1),(44,1),(45,1),(97,1)}
        31:{2,4,5,6}:{(21,1),(25,1),(43,1),(46,1),(47,1),(74,1),(97,1)}
        32:{1,3,4,5,7}:{(21,1),(26,1),(47,1),(75,1),(99,1)}
        33:{1,2,3,5,7}:{(42,1),(48,1),(72,1),(79,1)}
        34:{1,3,4,5,7}:{(22,1),(24,1),(50,1),(51,1),(53,1),(75,1),(76,1),(79,1),(94,1),(99,1),(104,1)}
        35:{2,3,4,6}:{(22,1),(25,1),(43,1),(51,1),(81,1),(97,1)}
        36:{1,3,4,7}:{(23,1),(44,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(45,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(47,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(74,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(75,1),(83,1)}
        42:{1,2,3,6}:{(33,1),(57,1),(91,1)}
        43:{2,3,5,6}:{(31,1),(35,1),(59,1),(60,1)}
        44:{1,3,4,6}:{(30,1),(36,1),(58,1),(61,1),(69,1)}
        45:{1,2,4,5}:{(30,1),(61,1),(86,1)}
        46:{1,4,5,6}:{(31,1),(38,1),(59,1),(63,1),(101,1)}
        47:{2,4,5,7}:{(31,1),(32,1),(39,1),(60,1),(63,1),(88,1),(103,1)}
        48:{1,2,4,7}:{(33,1),(57,1),(64,1)}
        49:{2,3,4,7}:{(36,1),(58,1),(64,1),(66,1),(103,1)}
        50:{2,4,5,7}:{(34,1),(66,1),(67,1),(86,1),(88,1),(103,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(38,1),(59,1),(67,1),(69,1),(91,1),(101,1)}
        52:{2,3,4,6,7}:{(35,1),(39,1),(60,1),(68,1),(93,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(61,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(67,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(63,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(88,1)}
        57:{1,2,4,6}:{(42,1),(48,1),(71,1),(72,1)}
        58:{2,3,4,6}:{(44,1),(49,1),(71,1),(73,1),(81,1),(97,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(51,1),(74,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(47,1),(52,1),(75,1)}
        61:{1,3,5}:{(44,1),(45,1),(73,1)}
        62:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(74,1),(77,1),(78,1),(97,1)}
        63:{1,4,5,7}:{(46,1),(47,1),(55,1),(75,1),(104,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(71,1),(79,1),(104,1)}
        65:{1,2,4,5,7}:{(48,1),(50,1),(72,1),(79,1),(80,1),(94,1),(96,1),(104,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(53,1),(73,1),(79,1),(81,1)}
        67:{2,4,6}:{(50,1),(51,1),(74,1),(81,1)}
        68:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(75,1),(82,1),(83,1),(99,1),(100,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(81,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(78,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(64,1),(84,1),(91,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{2,3,5}:{(58,1),(61,1),(84,1),(86,1)}
        74:{2,5,6}:{(59,1),(67,1),(88,1)}
        75:{1,3,5,7}:{(59,1),(60,1),(63,1),(68,1),(88,1)}
        76:{1,3,4,5}:{(61,1),(86,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(69,1),(87,1),(89,1),(90,1)}
        78:{1,2,4,5,7}:{(62,1),(63,1),(70,1),(88,1),(90,1),(103,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(66,1),(84,1),(91,1)}
        80:{1,2,4,6}:{(65,1),(67,1),(85,1),(91,1),(101,1)}
        81:{2,3,6}:{(66,1),(67,1),(69,1),(91,1)}
        82:{2,4,6,7}:{(67,1),(68,1),(88,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(90,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(73,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(80,1),(95,1),(96,1)}
        86:{2,4,5}:{(73,1),(76,1),(94,1),(97,1)}
        87:{2,3,5,6}:{(73,1),(74,1),(77,1),(81,1),(95,1),(97,1),(98,1)}
        88:{2,5,7}:{(74,1),(75,1),(82,1)}
        89:{1,3,4,6}:{(76,1),(77,1),(97,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,3,6}:{(79,1),(80,1),(81,1)}
        92:{1,2,4,6,7}:{(80,1),(82,1),(96,1),(100,1),(104,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(83,1),(98,1),(100,1)}
        94:{1,4,5}:{(84,1),(86,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(88,1),(92,1),(102,1)}
        97:{2,4,6}:{(86,1),(87,1),(89,1),(101,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(90,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,7}:{(89,1),(90,1),(103,1)}
       100:{1,3,6,7}:{(91,1),(92,1),(93,1),(102,1)}
       101:{1,4,6}:{(94,1),(95,1),(97,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{2,4,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2899 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2900 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2901 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(134,1),(135,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(87,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(103,1),(135,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(88,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(115,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(74,1),(111,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(47,1),(135,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(61,1),(97,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(47,1),(70,1),(100,1),(106,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(83,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(52,1),(54,1),(83,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(47,1),(110,1),(111,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(67,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(60,1),(96,1),(97,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(75,1),(130,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(47,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(49,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(47,1),(49,1)}
        37:{1,2,3,4,6,7}:{(27,1),(50,1),(55,1),(81,1),(83,1),(113,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(47,1),(51,1),(100,1),(110,1)}
        39:{1,2,3,5}:{(27,1),(52,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(54,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(49,1),(54,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(54,1),(55,1),(83,1)}
        44:{1,3,4,5,6,7}:{(34,1),(56,1),(84,1),(118,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(58,1),(59,1),(62,1),(89,1),(139,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(57,1),(59,1),(94,1),(141,1)}
        47:{2,4,6,7}:{(34,1),(36,1),(38,1),(60,1)}
        48:{1,2,4,5,6}:{(35,1),(40,1),(58,1),(62,1),(63,1),(67,1)}
        49:{1,4,5,7}:{(35,1),(36,1),(41,1),(60,1)}
        50:{1,2,3,5,7}:{(37,1),(39,1),(64,1),(65,1),(128,1)}
        51:{1,3,5,6,7}:{(38,1),(41,1),(60,1),(66,1),(96,1)}
        52:{1,2,4,5}:{(39,1),(61,1),(67,1)}
        53:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(62,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        55:{1,2,3,6,7}:{(42,1),(43,1),(68,1),(96,1)}
        56:{2,4,5,6,7}:{(44,1),(47,1),(69,1),(70,1),(100,1),(131,1)}
        57:{2,3,4,6,7}:{(46,1),(47,1),(69,1),(73,1),(110,1),(131,1)}
        58:{2,4,5,6}:{(45,1),(75,1),(76,1)}
        59:{1,3,4,5,7}:{(45,1),(46,1),(49,1),(73,1),(76,1),(80,1),(108,1),(145,1)}
        60:{1,4,6,7}:{(47,1),(49,1),(51,1)}
        61:{1,3,4,5}:{(52,1),(74,1),(79,1)}
        62:{1,3,5,6}:{(48,1),(75,1),(79,1),(80,1)}
        63:{1,2,4,5,7}:{(48,1),(49,1),(54,1),(76,1),(78,1),(80,1),(83,1)}
        64:{1,2,4,5,7}:{(50,1),(52,1),(77,1),(81,1),(83,1)}
        65:{1,2,3,5,6}:{(50,1),(81,1),(112,1)}
        66:{1,2,5,6,7}:{(51,1),(54,1),(78,1),(100,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(79,1),(83,1)}
        68:{1,2,3,5,7}:{(53,1),(54,1),(55,1),(80,1),(83,1)}
        69:{2,3,5,6,7}:{(56,1),(57,1),(84,1)}
        70:{1,4,5,6,7}:{(56,1),(60,1),(84,1),(140,1)}
        71:{1,2,3,4,6}:{(86,1),(87,1),(120,1),(121,1)}
        72:{1,2,4,5,6}:{(58,1),(89,1),(90,1),(121,1),(139,1),(142,1)}
        73:{1,3,4,6,7}:{(57,1),(59,1),(60,1),(84,1),(92,1),(96,1),(124,1),(140,1)}
        74:{2,3,4,5}:{(61,1),(88,1),(93,1)}
        75:{2,3,5,6}:{(58,1),(62,1),(89,1),(93,1),(94,1)}
        76:{2,4,5,7}:{(58,1),(59,1),(92,1),(94,1)}
        77:{1,3,4,5,7}:{(61,1),(64,1),(91,1),(95,1),(97,1),(128,1)}
        78:{1,2,4,6,7}:{(60,1),(63,1),(66,1),(92,1),(96,1)}
        79:{1,3,4,6}:{(61,1),(62,1),(67,1),(93,1),(97,1)}
        80:{1,3,5,7}:{(62,1),(63,1),(94,1),(96,1),(97,1)}
        81:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        82:{1,2,3,5,6,7}:{(65,1),(66,1),(68,1),(96,1),(99,1),(116,1),(128,1)}
        83:{1,2,4,7}:{(67,1),(68,1),(97,1)}
        84:{1,3,5,6,7}:{(69,1),(70,1),(73,1),(100,1)}
        85:{1,2,4,5,6,7}:{(70,1),(78,1),(100,1),(101,1),(114,1),(131,1)}
        86:{1,2,3,4,7}:{(71,1),(102,1),(135,1)}
        87:{1,2,3,5}:{(71,1),(103,1)}
        88:{1,3,4,5}:{(74,1),(103,1),(107,1)}
        89:{1,3,5,6}:{(72,1),(75,1),(107,1),(108,1)}
        90:{1,2,4,5,7}:{(72,1),(76,1),(106,1),(108,1),(135,1),(145,1),(146,1)}
        91:{2,3,4,5,7}:{(74,1),(77,1),(105,1),(109,1),(111,1),(138,1)}
        92:{2,4,6,7}:{(73,1),(76,1),(100,1),(110,1)}
        93:{2,3,4,6}:{(74,1),(75,1),(79,1),(107,1),(111,1)}
        94:{2,3,5,7}:{(75,1),(76,1),(80,1),(108,1),(110,1),(111,1)}
        95:{1,3,4,6}:{(77,1),(81,1),(109,1),(112,1)}
        96:{1,3,6,7}:{(78,1),(80,1),(110,1)}
        97:{1,3,4,7}:{(79,1),(80,1),(83,1),(111,1)}
        98:{1,2,4,5,6}:{(81,1),(112,1),(114,1),(130,1)}
        99:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(113,1),(114,1),(131,1)}
       100:{2,5,6,7}:{(84,1),(92,1)}
       101:{1,3,5,6,7}:{(85,1),(96,1),(116,1),(118,1),(128,1)}
       102:{1,2,3,5,7}:{(86,1),(87,1),(119,1),(120,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(121,1)}
       104:{1,2,3,5,6}:{(87,1),(89,1),(120,1),(121,1),(122,1),(142,1)}
       105:{1,3,4,5,7}:{(88,1),(91,1),(119,1),(123,1),(125,1),(144,1)}
       106:{1,2,4,6,7}:{(90,1),(92,1),(115,1),(124,1),(140,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(93,1),(121,1),(125,1)}
       108:{1,3,5,7}:{(89,1),(90,1),(94,1),(124,1),(125,1)}
       109:{2,3,4,6}:{(91,1),(95,1),(123,1),(126,1)}
       110:{2,3,6,7}:{(92,1),(94,1),(96,1),(124,1)}
       111:{2,3,4,7}:{(93,1),(94,1),(97,1),(125,1)}
       112:{1,3,5,6}:{(95,1),(98,1),(126,1),(128,1)}
       113:{1,3,4,6,7}:{(95,1),(96,1),(97,1),(99,1),(127,1),(128,1)}
       114:{1,2,4,5,7}:{(98,1),(99,1),(128,1),(141,1)}
       115:{1,2,5,6,7}:{(100,1),(106,1),(129,1),(146,1)}
       116:{2,3,5,6,7}:{(100,1),(101,1),(110,1),(129,1),(131,1),(138,1)}
       117:{1,3,4,5,6}:{(112,1),(130,1),(132,1)}
       118:{1,3,4,6,7}:{(101,1),(131,1),(132,1)}
       119:{1,2,4,5,7}:{(102,1),(103,1),(105,1),(133,1),(135,1),(146,1)}
       120:{1,2,3,6}:{(102,1),(133,1)}
       121:{1,2,4,6}:{(103,1),(104,1),(107,1),(135,1)}
       122:{1,2,3,5,7}:{(104,1),(108,1),(134,1),(135,1),(146,1)}
       123:{1,3,4,6}:{(105,1),(109,1),(133,1),(136,1)}
       124:{1,3,6,7}:{(106,1),(108,1),(110,1)}
       125:{1,3,4,7}:{(107,1),(108,1),(111,1),(135,1)}
       126:{2,3,5,6}:{(109,1),(112,1),(130,1),(136,1),(138,1)}
       127:{2,3,4,6,7}:{(109,1),(110,1),(111,1),(113,1),(131,1),(137,1),(138,1)}
       128:{1,3,5,7}:{(112,1),(113,1),(114,1),(138,1)}
       129:{1,3,5,6,7}:{(115,1),(116,1),(124,1),(140,1),(144,1)}
       130:{2,4,5,6}:{(117,1),(126,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(116,1),(118,1),(140,1),(141,1)}
       132:{1,3,4,5,7}:{(117,1),(118,1),(128,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(120,1),(123,1),(142,1)}
       134:{1,2,3,6,7}:{(120,1),(122,1),(124,1),(143,1)}
       135:{1,2,4,7}:{(121,1),(122,1),(125,1)}
       136:{1,3,5,6}:{(123,1),(126,1),(139,1),(142,1),(144,1)}
       137:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(140,1),(143,1),(144,1)}
       138:{2,3,5,7}:{(126,1),(127,1),(128,1),(141,1),(144,1)}
       139:{1,4,5,6}:{(130,1),(136,1),(145,1)}
       140:{1,4,6,7}:{(129,1),(131,1),(145,1)}
       141:{2,4,5,7}:{(130,1),(131,1),(132,1),(138,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(136,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(146,1)}
       144:{1,3,5,7}:{(136,1),(137,1),(138,1),(145,1),(146,1)}
       145:{1,4,5,7}:{(139,1),(140,1),(141,1),(144,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2902 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(66,1),(99,1),(100,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(18,1),(84,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(100,1),(101,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(18,1),(35,1),(81,1),(112,1),(113,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(18,1),(114,1),(115,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(44,1),(100,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(26,1),(105,1),(106,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(33,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(20,1),(113,1),(114,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(19,1),(21,1)}
        15:{1,3,4,5,7}:{(10,1),(21,1),(22,1),(36,1),(91,1),(92,1)}
        16:{1,3,4,5,6}:{(12,1),(23,1),(24,1)}
        17:{1,2,4,5,6,7}:{(11,1),(25,1),(44,1),(71,1),(96,1),(103,1)}
        18:{1,3,5,7}:{(11,1),(12,1),(13,1),(26,1)}
        19:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1)}
        20:{2,3,4,6,7}:{(13,1),(14,1),(26,1),(28,1),(44,1),(104,1),(105,1)}
        21:{1,3,4,6}:{(14,1),(15,1),(27,1),(29,1)}
        22:{1,2,4,5,7}:{(15,1),(29,1),(30,1),(48,1),(76,1),(77,1)}
        23:{1,3,4,5,7}:{(16,1),(18,1),(32,1),(33,1)}
        24:{2,4,5,6}:{(16,1),(19,1),(33,1),(34,1)}
        25:{1,3,5,6,7}:{(17,1),(18,1),(32,1),(35,1),(113,1)}
        26:{2,3,5,7}:{(18,1),(19,1),(20,1),(33,1),(36,1)}
        27:{1,3,5,6}:{(19,1),(21,1),(34,1),(36,1),(37,1)}
        28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(38,1),(56,1),(90,1),(91,1)}
        29:{1,2,4,6}:{(21,1),(22,1),(37,1),(39,1)}
        30:{1,2,3,5,7}:{(22,1),(39,1),(40,1),(63,1)}
        31:{2,3,4,5,6}:{(24,1),(41,1),(42,1),(70,1),(145,1)}
        32:{1,3,4,6,7}:{(23,1),(25,1),(44,1)}
        33:{2,4,5,7}:{(23,1),(24,1),(26,1),(44,1),(45,1)}
        34:{1,4,5,6}:{(24,1),(27,1),(45,1)}
        35:{2,3,5,6,7}:{(25,1),(26,1),(44,1),(47,1),(103,1),(104,1)}
        36:{1,3,5,7}:{(26,1),(27,1),(28,1),(45,1),(48,1)}
        37:{1,2,5,6}:{(27,1),(29,1),(48,1)}
        38:{1,2,4,6,7}:{(28,1),(29,1),(48,1),(50,1),(76,1)}
        39:{1,2,3,6}:{(29,1),(30,1)}
        40:{1,2,3,4,7}:{(30,1),(51,1),(76,1)}
        41:{2,3,4,5,7}:{(31,1),(33,1),(52,1),(53,1),(87,1),(140,1)}
        42:{1,3,4,5,6}:{(31,1),(34,1),(53,1),(54,1),(58,1),(80,1),(146,1)}
        43:{1,3,4,5,6,7}:{(32,1),(55,1),(85,1),(122,1)}
        44:{2,4,6,7}:{(32,1),(33,1),(35,1),(56,1)}
        45:{1,4,5,7}:{(33,1),(34,1),(36,1),(56,1)}
        46:{1,2,4,5,6}:{(34,1),(37,1),(54,1),(57,1),(58,1),(61,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(56,1),(59,1),(90,1)}
        48:{1,2,5,7}:{(36,1),(37,1),(38,1)}
        49:{1,2,3,5,6}:{(37,1),(39,1),(58,1),(60,1),(61,1),(63,1)}
        50:{1,2,3,6,7}:{(38,1),(39,1),(60,1),(90,1)}
        51:{1,2,3,4,6}:{(39,1),(40,1),(61,1),(63,1)}
        52:{2,3,4,6,7}:{(41,1),(44,1),(67,1),(68,1),(104,1),(131,1)}
        53:{1,3,4,5,7}:{(41,1),(42,1),(45,1),(68,1),(69,1),(73,1),(97,1),(143,1)}
        54:{2,4,5,6}:{(42,1),(69,1),(70,1)}
        55:{2,4,5,6,7}:{(43,1),(44,1),(67,1),(71,1),(103,1),(131,1)}
        56:{1,4,6,7}:{(44,1),(45,1),(47,1)}
        57:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6}:{(46,1),(70,1),(73,1),(74,1)}
        59:{1,2,5,6,7}:{(47,1),(48,1),(72,1),(103,1)}
        60:{1,2,3,5,7}:{(48,1),(49,1),(50,1),(73,1),(76,1)}
        61:{1,2,4,6}:{(49,1),(74,1),(76,1),(77,1)}
        62:{1,2,3,4,6,7}:{(50,1),(51,1),(76,1),(78,1),(108,1),(111,1)}
        63:{1,2,3,5}:{(51,1),(77,1)}
        64:{1,2,4,5,6}:{(54,1),(79,1),(80,1),(82,1),(139,1),(146,1)}
        65:{1,2,3,5,6}:{(80,1),(81,1),(82,1),(84,1),(118,1),(139,1)}
        66:{1,2,3,4,6}:{(82,1),(83,1),(84,1),(118,1)}
        67:{2,3,5,6,7}:{(52,1),(55,1),(85,1)}
        68:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(85,1),(86,1),(90,1),(113,1),(136,1)}
        69:{2,4,5,7}:{(53,1),(54,1),(86,1),(87,1)}
        70:{2,3,5,6}:{(54,1),(58,1),(80,1),(87,1),(88,1)}
        71:{1,4,5,6,7}:{(55,1),(56,1),(85,1),(136,1)}
        72:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(86,1),(90,1)}
        73:{1,3,5,7}:{(57,1),(58,1),(87,1),(90,1),(91,1)}
        74:{1,3,4,6}:{(58,1),(61,1),(88,1),(91,1),(92,1)}
        75:{1,2,3,5,6,7}:{(59,1),(60,1),(90,1),(93,1),(95,1),(119,1),(123,1)}
        76:{1,2,4,7}:{(60,1),(61,1),(91,1)}
        77:{1,2,4,5}:{(61,1),(63,1),(92,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(94,1),(95,1),(123,1)}
        79:{1,2,4,5,7}:{(64,1),(69,1),(96,1),(97,1),(100,1),(129,1),(143,1)}
        80:{1,3,5,6}:{(64,1),(70,1),(97,1),(98,1)}
        81:{1,2,3,5,7}:{(65,1),(97,1),(99,1),(100,1),(129,1)}
        82:{1,2,4,6}:{(65,1),(98,1),(100,1),(101,1)}
        83:{1,2,3,4,7}:{(66,1),(100,1),(102,1)}
        84:{1,2,3,5}:{(66,1),(101,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(71,1),(103,1)}
        86:{2,4,6,7}:{(68,1),(69,1),(103,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(70,1),(73,1),(97,1),(104,1),(105,1)}
        88:{2,3,4,6}:{(70,1),(74,1),(98,1),(105,1),(106,1)}
        89:{1,2,4,5,6,7}:{(71,1),(72,1),(103,1),(107,1),(110,1),(131,1)}
        90:{1,3,6,7}:{(72,1),(73,1),(104,1)}
        91:{1,3,4,7}:{(73,1),(74,1),(76,1),(105,1)}
        92:{1,3,4,5}:{(74,1),(77,1),(106,1)}
        93:{1,2,4,6,7}:{(75,1),(76,1),(108,1),(110,1),(111,1),(131,1)}
        94:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(109,1),(111,1)}
        95:{1,2,3,5,6}:{(78,1),(111,1),(135,1)}
        96:{1,2,4,6,7}:{(79,1),(86,1),(112,1),(113,1),(136,1)}
        97:{1,3,5,7}:{(79,1),(80,1),(87,1),(113,1),(114,1)}
        98:{1,3,4,6}:{(80,1),(82,1),(88,1),(114,1),(115,1)}
        99:{1,2,3,6,7}:{(81,1),(113,1),(116,1),(118,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(114,1)}
       101:{1,2,4,5}:{(82,1),(84,1),(115,1)}
       102:{1,2,3,5,7}:{(83,1),(84,1),(117,1),(118,1)}
       103:{2,5,6,7}:{(85,1),(86,1)}
       104:{2,3,6,7}:{(86,1),(87,1),(90,1),(113,1)}
       105:{2,3,4,7}:{(87,1),(88,1),(91,1),(114,1)}
       106:{2,3,4,5}:{(88,1),(92,1),(115,1)}
       107:{1,3,5,6,7}:{(89,1),(90,1),(119,1),(122,1),(123,1)}
       108:{1,3,4,6,7}:{(90,1),(91,1),(93,1),(120,1),(123,1),(124,1)}
       109:{1,3,4,5,7}:{(91,1),(92,1),(94,1),(121,1),(123,1),(124,1)}
       110:{1,2,4,5,7}:{(93,1),(123,1),(125,1),(140,1)}
       111:{1,2,4,6}:{(94,1),(95,1),(124,1)}
       112:{1,2,5,6,7}:{(96,1),(103,1),(126,1),(129,1)}
       113:{1,3,6,7}:{(96,1),(97,1),(104,1)}
       114:{1,3,4,7}:{(97,1),(98,1),(100,1),(105,1)}
       115:{1,3,4,5}:{(98,1),(101,1),(106,1)}
       116:{1,2,4,6,7}:{(99,1),(100,1),(127,1),(129,1),(130,1)}
       117:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(128,1),(129,1),(130,1)}
       118:{1,2,3,6}:{(102,1),(130,1)}
       119:{2,3,5,6,7}:{(103,1),(104,1),(107,1),(126,1),(131,1),(132,1)}
       120:{2,3,4,6,7}:{(104,1),(105,1),(108,1),(127,1),(131,1),(132,1),(133,1)}
       121:{2,3,4,5,7}:{(105,1),(106,1),(109,1),(128,1),(132,1),(133,1)}
       122:{1,3,4,6,7}:{(107,1),(131,1),(134,1)}
       123:{1,3,5,7}:{(108,1),(110,1),(132,1),(135,1)}
       124:{1,3,4,6}:{(109,1),(111,1),(133,1),(135,1)}
       125:{1,2,4,5,6}:{(110,1),(111,1),(135,1),(145,1)}
       126:{1,3,5,6,7}:{(112,1),(113,1),(119,1),(136,1),(137,1)}
       127:{1,3,4,6,7}:{(113,1),(114,1),(116,1),(120,1),(136,1),(137,1),(138,1)}
       128:{1,3,4,5,7}:{(114,1),(115,1),(117,1),(121,1),(137,1),(138,1)}
       129:{1,2,5,7}:{(116,1),(137,1),(139,1)}
       130:{1,2,4,6}:{(117,1),(118,1),(138,1),(139,1)}
       131:{2,4,6,7}:{(119,1),(122,1),(136,1),(140,1)}
       132:{2,3,5,7}:{(120,1),(123,1),(137,1),(140,1),(141,1)}
       133:{2,3,4,6}:{(121,1),(124,1),(138,1),(141,1)}
       134:{1,3,4,5,7}:{(122,1),(123,1),(140,1),(142,1)}
       135:{1,3,5,6}:{(123,1),(124,1),(125,1),(141,1)}
       136:{1,4,6,7}:{(126,1),(131,1),(143,1)}
       137:{1,3,5,7}:{(127,1),(129,1),(132,1),(143,1),(144,1)}
       138:{1,3,4,6}:{(128,1),(130,1),(133,1),(144,1)}
       139:{1,2,5,6}:{(129,1),(130,1),(144,1)}
       140:{2,4,5,7}:{(131,1),(132,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6}:{(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,5,6}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,5,6}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,5,6}:{(143,1),(144,1),(145,1)}

2903 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(78,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1),(96,1),(129,1)}
         5:{1,2,4,5}:{(2,1),(9,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(82,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,3,4,5}:{(5,1),(18,1),(20,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(21,1),(24,1),(54,1),(113,1),(141,1)}
        11:{1,2,3,6}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(20,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(22,1),(24,1),(53,1),(54,1)}
        14:{1,2,3,4,6}:{(7,1),(26,1),(28,1),(60,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(26,1),(27,1),(28,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(25,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(9,1),(25,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(10,1),(31,1),(33,1),(35,1),(71,1),(97,1),(131,1)}
        20:{1,3,4,6}:{(9,1),(12,1),(32,1),(34,1),(35,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(33,1),(36,1)}
        22:{1,2,3,6,7}:{(11,1),(13,1),(37,1),(72,1),(129,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(65,1),(70,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(35,1)}
        25:{1,3,4,5}:{(16,1),(18,1),(40,1)}
        26:{1,2,3,5}:{(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(39,1),(41,1),(43,1),(46,1),(82,1),(83,1)}
        28:{1,2,3,6}:{(15,1),(43,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(40,1),(45,1),(46,1)}
        30:{1,2,3,7}:{(17,1),(46,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(39,1),(47,1),(49,1),(79,1),(87,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(20,1),(40,1),(48,1),(49,1)}
        33:{1,3,4,6}:{(19,1),(21,1),(47,1),(51,1)}
        34:{1,3,5,6}:{(20,1),(23,1),(48,1),(53,1)}
        35:{1,3,4,7}:{(20,1),(24,1),(49,1),(53,1)}
        36:{1,2,5,6}:{(21,1),(51,1),(54,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(52,1),(54,1),(141,1),(152,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(54,1),(55,1),(85,1),(90,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(31,1),(56,1),(58,1),(59,1),(94,1),(100,1)}
        40:{1,3,4,6}:{(25,1),(29,1),(32,1),(57,1),(58,1)}
        41:{1,2,4,5}:{(26,1),(59,1),(60,1)}
        42:{1,2,3,5,6}:{(26,1),(28,1),(60,1),(61,1),(62,1),(99,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(56,1),(62,1)}
        44:{1,2,3,6,7}:{(28,1),(30,1),(61,1),(63,1),(133,1)}
        45:{1,2,5,6}:{(29,1),(57,1),(64,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(58,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(33,1),(56,1),(66,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(57,1),(65,1),(68,1)}
        49:{2,3,4,7}:{(32,1),(35,1),(58,1),(68,1)}
        50:{1,3,4,5,6}:{(34,1),(65,1),(69,1),(70,1),(104,1)}
        51:{1,3,5,6}:{(33,1),(36,1),(66,1),(70,1),(71,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(67,1),(71,1),(72,1),(108,1),(131,1),(149,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(38,1),(68,1),(72,1)}
        54:{1,2,5,7}:{(36,1),(37,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(72,1),(73,1),(103,1),(108,1)}
        56:{1,3,4,6}:{(39,1),(43,1),(47,1),(75,1)}
        57:{1,3,5,6}:{(40,1),(45,1),(48,1),(74,1),(77,1)}
        58:{1,3,4,7}:{(40,1),(46,1),(49,1),(77,1)}
        59:{1,3,4,5}:{(41,1),(79,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(42,1),(80,1),(82,1)}
        61:{1,2,3,5,7}:{(42,1),(44,1),(82,1),(83,1),(118,1)}
        62:{1,2,5,6}:{(43,1),(75,1),(83,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(76,1),(82,1),(83,1),(84,1)}
        64:{1,2,5,7}:{(45,1),(46,1),(77,1),(84,1)}
        65:{2,4,5,6}:{(48,1),(50,1),(74,1),(85,1)}
        66:{2,3,5,6}:{(47,1),(51,1),(75,1),(86,1),(87,1)}
        67:{2,3,4,6,7}:{(47,1),(49,1),(52,1),(76,1),(87,1),(88,1),(117,1),(122,1),(143,1)}
        68:{2,3,5,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(88,1)}
        69:{1,3,4,5,7}:{(50,1),(53,1),(85,1),(89,1),(90,1),(121,1)}
        70:{1,4,5,6}:{(51,1),(86,1),(90,1)}
        71:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(90,1)}
        72:{1,3,6,7}:{(53,1),(55,1),(88,1)}
        73:{1,2,5,6,7}:{(54,1),(55,1),(91,1),(120,1),(152,1)}
        74:{1,4,5,6}:{(57,1),(65,1),(92,1)}
        75:{1,3,5,6}:{(56,1),(62,1),(66,1),(93,1),(94,1)}
        76:{1,3,4,6,7}:{(56,1),(58,1),(63,1),(67,1),(94,1),(95,1),(100,1),(127,1),(133,1)}
        77:{1,3,5,7}:{(57,1),(58,1),(64,1),(68,1),(92,1),(95,1)}
        78:{1,2,3,4}:{(96,1)}
        79:{2,3,4,5}:{(59,1),(97,1),(98,1)}
        80:{1,3,4,6}:{(59,1),(60,1),(98,1),(99,1),(100,1)}
        81:{1,2,4,5,6}:{(60,1),(62,1),(93,1),(99,1),(101,1),(125,1)}
        82:{1,2,4,7}:{(60,1),(61,1),(100,1)}
        83:{1,2,5,7}:{(62,1),(63,1),(94,1)}
        84:{1,2,6,7}:{(64,1),(95,1)}
        85:{2,4,5,7}:{(65,1),(68,1),(69,1),(92,1),(103,1)}
        86:{2,4,5,6}:{(66,1),(70,1),(93,1),(104,1),(105,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(71,1),(94,1),(105,1)}
        88:{2,3,6,7}:{(68,1),(72,1),(95,1),(103,1)}
        89:{1,3,4,6,7}:{(69,1),(72,1),(103,1),(107,1),(108,1),(135,1)}
        90:{1,4,5,7}:{(70,1),(71,1),(105,1),(108,1)}
        91:{1,3,5,6,7}:{(71,1),(72,1),(73,1),(106,1),(108,1),(149,1),(153,1)}
        92:{1,4,5,7}:{(74,1),(77,1),(85,1),(109,1)}
        93:{1,4,5,6}:{(75,1),(86,1),(111,1)}
        94:{1,3,5,7}:{(75,1),(76,1),(83,1),(87,1),(111,1)}
        95:{1,3,6,7}:{(77,1),(84,1),(88,1),(109,1)}
        96:{1,2,3,5}:{(78,1),(113,1),(114,1)}
        97:{1,3,4,5}:{(79,1),(113,1),(115,1)}
        98:{2,3,4,6}:{(79,1),(80,1),(115,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(80,1),(81,1),(116,1),(118,1)}
       100:{1,3,4,7}:{(80,1),(82,1),(117,1),(118,1)}
       101:{1,2,4,5,7}:{(81,1),(82,1),(83,1),(111,1),(118,1),(119,1),(138,1)}
       102:{1,2,5,6,7}:{(83,1),(84,1),(112,1),(119,1),(150,1)}
       103:{2,4,6,7}:{(85,1),(88,1),(89,1),(109,1),(120,1)}
       104:{3,4,5,6}:{(86,1),(121,1)}
       105:{2,4,5,7}:{(86,1),(87,1),(90,1),(111,1),(121,1),(122,1)}
       106:{2,3,5,6,7}:{(87,1),(88,1),(91,1),(112,1),(120,1),(122,1),(143,1),(144,1),(150,1)}
       107:{1,3,5,6,7}:{(89,1),(120,1),(123,1),(144,1)}
       108:{1,4,6,7}:{(90,1),(91,1),(122,1)}
       109:{1,4,6,7}:{(92,1),(95,1),(103,1),(124,1)}
       110:{1,3,4,5,6}:{(93,1),(99,1),(104,1),(125,1),(126,1)}
       111:{1,4,5,7}:{(93,1),(94,1),(105,1),(127,1)}
       112:{1,3,5,6,7}:{(94,1),(95,1),(102,1),(106,1),(124,1),(127,1),(133,1)}
       113:{1,2,4,5}:{(96,1),(97,1),(128,1)}
       114:{1,2,3,6}:{(96,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(97,1),(98,1),(128,1),(130,1),(131,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(125,1),(130,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(131,1),(132,1)}
       118:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(133,1)}
       119:{1,2,4,6,7}:{(101,1),(102,1),(127,1),(133,1),(147,1)}
       120:{2,5,6,7}:{(103,1),(107,1),(124,1)}
       121:{3,4,5,7}:{(104,1),(105,1),(135,1)}
       122:{2,4,6,7}:{(105,1),(106,1),(108,1),(127,1),(135,1)}
       123:{1,4,5,6,7}:{(107,1),(108,1),(134,1),(153,1)}
       124:{1,5,6,7}:{(109,1),(120,1)}
       125:{2,4,5,6}:{(110,1),(116,1),(137,1),(138,1)}
       126:{1,3,4,5,7}:{(110,1),(111,1),(118,1),(121,1),(138,1),(139,1)}
       127:{1,4,6,7}:{(111,1),(112,1),(122,1)}
       128:{1,2,4,6}:{(113,1),(114,1),(115,1),(140,1),(141,1)}
       129:{1,2,3,7}:{(114,1),(141,1)}
       130:{1,3,5,6}:{(115,1),(116,1),(137,1),(140,1),(142,1)}
       131:{1,3,4,7}:{(115,1),(117,1),(141,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(118,1),(138,1),(142,1),(143,1)}
       133:{1,3,6,7}:{(118,1),(119,1),(143,1)}
       134:{2,4,5,6,7}:{(120,1),(122,1),(123,1),(136,1),(144,1),(150,1)}
       135:{3,4,6,7}:{(121,1),(122,1),(144,1)}
       136:{1,4,5,6,7}:{(124,1),(127,1),(134,1),(145,1)}
       137:{1,4,5,6}:{(125,1),(130,1),(146,1)}
       138:{2,4,5,7}:{(125,1),(126,1),(132,1),(146,1),(147,1)}
       139:{1,3,4,6,7}:{(126,1),(127,1),(133,1),(135,1),(145,1),(147,1)}
       140:{1,2,5,6}:{(128,1),(130,1),(148,1)}
       141:{1,2,4,7}:{(128,1),(129,1),(131,1),(148,1)}
       142:{1,3,5,7}:{(130,1),(131,1),(132,1),(146,1),(148,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(133,1),(147,1),(149,1)}
       144:{3,5,6,7}:{(134,1),(135,1)}
       145:{1,3,5,6,7}:{(136,1),(139,1),(144,1),(150,1)}
       146:{1,4,5,7}:{(137,1),(138,1),(142,1),(151,1)}
       147:{2,4,6,7}:{(138,1),(139,1),(143,1),(150,1),(151,1)}
       148:{1,2,5,7}:{(140,1),(141,1),(142,1),(152,1)}
       149:{1,3,6,7}:{(142,1),(143,1),(151,1),(152,1)}
       150:{2,5,6,7}:{(145,1),(147,1),(153,1)}
       151:{1,4,6,7}:{(146,1),(147,1),(149,1),(153,1)}
       152:{1,2,6,7}:{(148,1),(149,1)}
       153:{1,5,6,7}:{(150,1),(151,1)}

2904 :   0:{2,3,4,5,6}:{(2,1),(3,1),(26,1),(30,1),(60,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(18,1),(42,1),(72,1),(79,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(60,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(27,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(58,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(79,1)}
        11:{1,2,4,5,6}:{(7,1),(17,1),(18,1),(40,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(77,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(27,1),(57,1),(89,1),(92,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(26,1),(27,1),(28,1),(63,1),(86,1),(98,1),(113,1)}
        19:{2,3,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1)}
        20:{2,3,4,6}:{(13,1),(28,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(26,1),(31,1),(32,1),(63,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(19,1),(37,1),(108,1)}
        26:{2,3,5,6}:{(18,1),(39,1),(40,1),(77,1),(107,1),(108,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(41,1)}
        28:{1,3,4,6}:{(18,1),(20,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,7}:{(19,1),(20,1),(41,1)}
        30:{2,3,4,5}:{(20,1),(42,1),(77,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(46,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(40,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(26,1),(48,1),(49,1),(86,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(27,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(29,1),(51,1),(54,1),(55,1),(60,1)}
        39:{2,3,5,7}:{(26,1),(27,1),(53,1),(57,1),(92,1)}
        40:{2,4,6}:{(26,1),(28,1),(57,1),(58,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(29,1),(57,1)}
        42:{1,3,4,5}:{(28,1),(30,1),(58,1),(63,1),(86,1)}
        43:{2,3,4,5,7}:{(29,1),(30,1),(55,1),(59,1),(60,1),(94,1),(116,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,3,4,6}:{(32,1),(56,1),(62,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(31,1),(32,1),(57,1),(62,1)}
        47:{1,2,4,5}:{(32,1),(58,1),(63,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(67,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(40,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(41,1),(70,1),(73,1),(74,1),(79,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6}:{(40,1),(45,1),(66,1),(76,1),(77,1),(108,1)}
        57:{2,4,7}:{(39,1),(40,1),(41,1)}
        58:{2,4,5}:{(40,1),(42,1),(77,1)}
        59:{1,3,4,5,7}:{(41,1),(42,1),(43,1),(74,1),(78,1),(79,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        60:{2,3,4,6}:{(43,1),(75,1),(79,1),(108,1),(123,1)}
        61:{1,2,4,6,7}:{(44,1),(46,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,3,5}:{(45,1),(47,1),(77,1)}
        64:{1,2,4,5,7}:{(46,1),(47,1),(78,1),(81,1),(82,1),(83,1),(109,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,3,4,6}:{(49,1),(56,1),(85,1),(86,1),(113,1)}
        67:{1,2,4,7}:{(48,1),(49,1),(57,1),(85,1)}
        68:{1,2,4,5}:{(49,1),(58,1),(86,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(57,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(60,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(57,1),(62,1),(85,1),(94,1)}
        77:{2,3,5}:{(56,1),(58,1),(63,1),(86,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(59,1),(92,1),(94,1),(95,1)}
        79:{1,3,4,6}:{(59,1),(60,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(64,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(67,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,3,5}:{(66,1),(68,1),(77,1)}
        87:{1,2,4,5,7}:{(67,1),(68,1),(78,1),(100,1),(101,1),(102,1),(119,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(78,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(78,1),(79,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(87,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2905 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(25,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(80,1)}
         4:{1,2,4,5}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(35,1),(39,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(70,1),(75,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(92,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(56,1)}
        12:{1,2,4,6}:{(4,1),(6,1),(22,1),(25,1)}
        13:{1,2,3,6}:{(5,1),(24,1)}
        14:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(52,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(29,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(27,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(36,1),(37,1),(71,1)}
        22:{1,3,4,6}:{(10,1),(12,1),(16,1),(34,1),(35,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(17,1),(35,1),(38,1),(39,1),(64,1),(70,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(36,1),(39,1)}
        25:{1,2,4,7}:{(12,1),(14,1),(37,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(40,1),(69,1)}
        27:{2,3,5,6}:{(16,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(42,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(50,1),(81,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(48,1),(50,1)}
        35:{1,3,5,6}:{(22,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,6}:{(21,1),(24,1),(28,1),(49,1),(53,1)}
        37:{1,3,4,7}:{(22,1),(25,1),(29,1),(50,1),(52,1)}
        38:{1,2,4,5,7}:{(23,1),(25,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,5,6}:{(24,1),(53,1),(56,1)}
        40:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(59,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(30,1),(52,1),(58,1)}
        43:{2,3,5,6}:{(28,1),(53,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(29,1),(54,1),(58,1),(60,1),(86,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,6}:{(33,1),(36,1),(66,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(65,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(70,1),(91,1)}
        52:{1,3,5,7}:{(35,1),(37,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,5,6}:{(36,1),(39,1),(43,1),(66,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(69,1),(71,1),(94,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(71,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(76,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,4,5,6}:{(43,1),(70,1),(75,1),(76,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(71,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(52,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(49,1),(53,1),(80,1),(81,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(54,1),(79,1),(81,1),(98,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,4,5,6}:{(53,1),(59,1),(80,1),(84,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(56,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(60,1),(61,1),(83,1),(86,1),(88,1)}
        75:{3,4,5,6}:{(59,1),(87,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,4,5,6}:{(66,1),(70,1),(91,1),(92,1)}
        81:{2,3,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(71,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(76,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(97,1),(98,1),(104,1)}
        91:{3,4,5,6}:{(80,1),(99,1)}
        92:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(92,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2906 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2907 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(70,1),(100,1),(147,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(147,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(44,1),(93,1),(123,1),(163,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(163,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(96,1),(115,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(29,1),(62,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(29,1),(30,1),(145,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(29,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(107,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(73,1),(88,1),(138,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(129,1),(132,1),(157,1),(166,1)}
        28:{1,2,4,5,6}:{(18,1),(43,1),(44,1),(86,1),(93,1),(130,1),(139,1),(166,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(19,1),(45,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(161,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(45,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(132,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(115,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(54,1),(97,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(54,1),(55,1),(113,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(107,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(106,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(62,1),(69,1),(112,1),(116,1)}
        44:{1,3,5,6}:{(28,1),(30,1),(61,1),(62,1),(63,1),(151,1),(172,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(32,1),(62,1),(64,1)}
        46:{2,3,4,6}:{(30,1),(63,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(62,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(64,1),(67,1),(68,1),(115,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(153,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(107,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(138,1)}
        53:{1,2,4,5,6}:{(38,1),(72,1),(73,1),(121,1),(130,1),(164,1),(166,1),(173,1)}
        54:{2,4,5,7}:{(37,1),(38,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(136,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(132,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(132,1),(139,1),(164,1),(166,1),(173,1)}
        61:{2,3,5,6}:{(44,1),(85,1),(86,1),(136,1),(139,1),(167,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(87,1)}
        63:{1,3,4,6}:{(44,1),(46,1),(86,1),(87,1),(88,1)}
        64:{2,3,4,7}:{(45,1),(46,1),(87,1)}
        65:{2,3,4,5}:{(46,1),(88,1),(161,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(87,1),(90,1),(91,1),(138,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(132,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(54,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(97,1),(144,1),(148,1),(168,1)}
        73:{1,3,5,6}:{(53,1),(55,1),(96,1),(97,1),(98,1),(151,1),(172,1)}
        74:{2,3,5,7}:{(54,1),(55,1),(95,1),(97,1),(99,1)}
        75:{2,3,4,6}:{(55,1),(98,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(107,1)}
        79:{1,2,3,5,6}:{(61,1),(96,1),(104,1),(105,1),(151,1),(154,1),(172,1)}
        80:{1,3,4,5,7}:{(59,1),(106,1),(107,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(153,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(106,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(107,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(62,1),(66,1),(112,1),(116,1)}
        86:{2,4,6}:{(61,1),(63,1),(112,1),(113,1)}
        87:{1,3,4,7}:{(62,1),(63,1),(64,1),(112,1)}
        88:{1,3,4,5}:{(63,1),(65,1),(113,1),(151,1)}
        89:{2,3,4,5,7}:{(64,1),(65,1),(68,1),(106,1),(114,1),(115,1),(170,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(112,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(115,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(153,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(74,1),(118,1),(167,1)}
        96:{2,3,5,6}:{(73,1),(120,1),(121,1),(161,1),(173,1),(174,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(122,1)}
        98:{1,3,4,6}:{(73,1),(75,1),(121,1),(122,1),(123,1)}
        99:{2,3,4,7}:{(74,1),(75,1),(122,1)}
       100:{2,3,4,5}:{(75,1),(123,1),(136,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(132,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(79,1),(81,1),(85,1),(120,1),(129,1),(133,1),(165,1)}
       105:{1,2,4,6}:{(79,1),(86,1),(121,1),(128,1),(129,1),(130,1)}
       106:{2,4,5,7}:{(80,1),(83,1),(131,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(129,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(131,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(132,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,3,4,6}:{(86,1),(128,1),(135,1),(136,1),(167,1)}
       112:{2,4,7}:{(85,1),(86,1),(87,1)}
       113:{2,4,5}:{(86,1),(88,1),(136,1)}
       114:{1,3,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(131,1),(137,1),(138,1),(165,1)}
       115:{2,3,4,6}:{(89,1),(92,1),(132,1),(138,1),(174,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(138,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(97,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(99,1),(102,1),(141,1),(142,1),(147,1)}
       120:{2,3,5,7}:{(96,1),(97,1),(140,1),(144,1),(168,1)}
       121:{2,4,6}:{(96,1),(98,1),(144,1),(145,1)}
       122:{1,3,4,7}:{(97,1),(98,1),(99,1),(144,1)}
       123:{1,3,4,5}:{(98,1),(100,1),(145,1),(151,1)}
       124:{2,3,4,5,7}:{(99,1),(100,1),(106,1),(142,1),(146,1),(147,1),(155,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(153,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(107,1),(149,1),(169,1)}
       128:{1,3,4,6}:{(105,1),(111,1),(143,1),(150,1),(151,1),(172,1)}
       129:{1,2,4,7}:{(104,1),(105,1),(112,1),(144,1),(150,1)}
       130:{1,2,4,5}:{(105,1),(113,1),(145,1),(151,1)}
       131:{1,4,5,7}:{(106,1),(109,1),(153,1)}
       132:{2,4,6}:{(106,1),(107,1),(110,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(153,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(112,1),(150,1),(155,1)}
       136:{2,3,5}:{(111,1),(113,1),(151,1)}
       137:{2,4,5,7}:{(112,1),(113,1),(114,1),(116,1),(155,1),(156,1)}
       138:{1,3,4,6}:{(114,1),(115,1),(117,1),(153,1),(156,1),(172,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(122,1),(125,1),(157,1),(158,1),(163,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,3,4,6}:{(121,1),(128,1),(160,1),(161,1),(174,1)}
       144:{2,4,7}:{(120,1),(121,1),(122,1)}
       145:{2,4,5}:{(121,1),(123,1),(161,1)}
       146:{1,3,4,5,7}:{(122,1),(123,1),(124,1),(131,1),(158,1),(162,1),(163,1),(165,1)}
       147:{2,3,4,6}:{(124,1),(132,1),(159,1),(163,1),(167,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(132,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(129,1),(135,1),(160,1),(165,1)}
       151:{1,3,5}:{(128,1),(130,1),(136,1),(161,1)}
       152:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(133,1),(137,1),(162,1),(165,1),(166,1)}
       153:{1,4,6}:{(131,1),(132,1),(134,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(137,1),(165,1),(167,1)}
       156:{2,4,6}:{(137,1),(138,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(144,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(147,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(144,1),(150,1),(170,1)}
       161:{2,3,5}:{(143,1),(145,1),(151,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(170,1),(171,1)}
       163:{1,3,4,6}:{(146,1),(147,1),(153,1),(169,1),(171,1),(172,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(153,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(152,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(152,1),(153,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(163,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(162,1),(165,1),(174,1)}
       171:{2,4,6}:{(162,1),(163,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2908 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(84,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(14,1),(18,1),(32,1),(40,1),(41,1),(76,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(107,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(48,1),(55,1),(59,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(123,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(26,1),(128,1)}
         6:{1,2,3,5,6,7}:{(11,1),(15,1),(33,1),(64,1),(67,1),(76,1),(77,1),(112,1),(113,1),(142,1),(143,1),(148,1)}
         7:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(65,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(18,1),(37,1),(44,1),(67,1),(76,1),(77,1)}
         9:{2,3,4,6,7}:{(4,1),(14,1),(16,1),(17,1),(77,1),(105,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(141,1)}
        11:{1,2,4,6,7}:{(6,1),(20,1),(21,1),(26,1),(56,1),(86,1),(88,1),(125,1),(131,1),(134,1)}
        12:{1,3,4,5,6,7}:{(22,1),(24,1),(45,1),(52,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(55,1)}
        14:{2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(88,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(55,1),(59,1),(90,1)}
        16:{2,3,4,5,7}:{(9,1),(25,1),(28,1),(29,1),(99,1)}
        17:{1,3,4,6,7}:{(9,1),(10,1),(26,1),(29,1),(30,1),(59,1),(126,1)}
        18:{2,5,6,7}:{(10,1),(30,1),(155,1)}
        19:{1,2,4,5,6,7}:{(31,1),(32,1),(36,1),(63,1),(72,1),(108,1),(109,1),(142,1)}
        20:{1,2,4,5,7}:{(11,1),(32,1),(33,1),(40,1),(66,1),(76,1),(108,1),(142,1)}
        21:{1,3,4,6,7}:{(11,1),(33,1),(34,1),(65,1),(148,1),(149,1)}
        22:{2,4,5,6,7}:{(12,1),(35,1),(36,1),(39,1),(63,1),(72,1)}
        23:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(44,1),(73,1),(81,1)}
        24:{1,3,4,5,6}:{(13,1),(39,1),(65,1),(75,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(37,1),(39,1),(40,1),(76,1)}
        26:{1,4,6,7}:{(14,1),(15,1),(40,1),(110,1)}
        27:{1,2,5,6,7}:{(15,1),(18,1),(41,1),(76,1),(112,1)}
        28:{2,3,4,5,6}:{(16,1),(39,1),(42,1),(105,1),(119,1),(170,1)}
        29:{1,3,4,5,7}:{(16,1),(17,1),(40,1),(42,1),(43,1),(79,1)}
        30:{2,4,6,7}:{(17,1),(18,1),(43,1),(44,1),(144,1)}
        31:{1,3,5,6,7}:{(19,1),(45,1),(46,1),(48,1),(124,1),(130,1)}
        32:{1,2,4,5,6}:{(20,1),(48,1),(57,1),(88,1),(98,1),(128,1),(131,1),(155,1)}
        33:{1,3,5,7}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,6,7}:{(21,1),(49,1),(50,1),(56,1),(88,1),(125,1),(137,1),(138,1),(157,1),(158,1)}
        35:{2,3,5,6,7}:{(22,1),(51,1),(52,1),(54,1)}
        36:{1,4,5,6,7}:{(22,1),(52,1),(57,1),(86,1)}
        37:{2,3,5,7}:{(23,1),(25,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(26,1),(55,1),(56,1),(59,1),(96,1),(101,1)}
        39:{2,4,5,6}:{(24,1),(25,1),(54,1),(57,1),(88,1),(98,1)}
        40:{1,4,5,7}:{(25,1),(26,1),(55,1),(57,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(30,1),(56,1),(58,1),(59,1),(131,1)}
        42:{1,3,4,5,6}:{(28,1),(29,1),(57,1),(60,1),(100,1),(126,1),(173,1)}
        43:{2,4,5,7}:{(29,1),(30,1),(60,1),(61,1)}
        44:{2,3,6,7}:{(30,1),(59,1),(61,1),(157,1)}
        45:{1,3,4,6,7}:{(31,1),(62,1),(63,1),(65,1)}
        46:{2,3,5,6,7}:{(31,1),(63,1),(64,1),(67,1),(72,1),(103,1),(116,1),(142,1),(143,1)}
        47:{1,3,4,5,7}:{(33,1),(65,1),(66,1)}
        48:{1,3,5,6}:{(32,1),(33,1),(65,1),(67,1),(148,1)}
        49:{2,3,5,7}:{(33,1),(34,1),(66,1),(67,1),(68,1),(76,1),(142,1)}
        50:{1,3,4,6,7}:{(34,1),(68,1),(69,1),(110,1),(148,1),(149,1)}
        51:{2,3,4,6,7}:{(35,1),(63,1),(70,1),(71,1),(73,1),(143,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(71,1),(72,1),(75,1)}
        53:{2,3,4,5,7}:{(37,1),(66,1),(73,1),(74,1),(81,1),(122,1),(145,1)}
        54:{2,3,5,6}:{(37,1),(39,1),(73,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(75,1),(76,1)}
        56:{2,4,6,7}:{(38,1),(76,1),(77,1),(117,1),(120,1)}
        57:{1,4,5,6}:{(39,1),(40,1),(75,1),(110,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(76,1),(78,1),(79,1),(120,1)}
        59:{1,3,6,7}:{(41,1),(44,1),(77,1),(79,1),(148,1)}
        60:{2,4,5,6}:{(42,1),(43,1),(80,1),(144,1),(174,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(79,1),(80,1),(81,1)}
        62:{1,3,4,5,7}:{(45,1),(84,1),(85,1),(124,1)}
        63:{2,4,6,7}:{(45,1),(46,1),(85,1),(86,1),(88,1)}
        64:{1,3,5,6,7}:{(46,1),(86,1),(87,1),(90,1),(124,1),(130,1)}
        65:{1,3,4,6}:{(47,1),(48,1),(88,1)}
        66:{2,4,5,7}:{(47,1),(49,1),(88,1),(89,1)}
        67:{2,3,5,6}:{(48,1),(49,1),(88,1),(90,1),(98,1),(137,1),(155,1),(157,1)}
        68:{1,3,5,7}:{(49,1),(50,1),(89,1),(90,1),(91,1)}
        69:{1,2,4,6,7}:{(50,1),(56,1),(91,1),(92,1),(125,1),(131,1),(134,1)}
        70:{2,3,4,5,7}:{(51,1),(85,1),(93,1),(94,1),(156,1)}
        71:{1,3,4,6,7}:{(51,1),(52,1),(86,1),(94,1),(95,1),(96,1),(130,1)}
        72:{2,5,6,7}:{(52,1),(95,1),(98,1)}
        73:{2,3,4,6}:{(53,1),(54,1),(88,1),(96,1),(157,1)}
        74:{1,3,4,5,7}:{(53,1),(55,1),(89,1),(96,1),(97,1),(101,1),(132,1),(140,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(57,1),(96,1),(98,1)}
        76:{2,5,7}:{(55,1),(56,1),(98,1)}
        77:{2,3,6,7}:{(56,1),(59,1),(99,1),(137,1)}
        78:{1,2,4,5,6}:{(57,1),(58,1),(60,1),(98,1),(100,1),(131,1),(139,1),(162,1)}
        79:{1,3,5,7}:{(58,1),(59,1),(61,1),(99,1),(100,1),(101,1)}
        80:{2,3,5,6}:{(60,1),(61,1),(100,1),(102,1),(157,1),(172,1)}
        81:{2,3,4,7}:{(61,1),(101,1),(102,1)}
        82:{2,3,4,6,7}:{(63,1),(103,1),(104,1),(105,1),(116,1),(152,1)}
        83:{2,3,4,5,7}:{(66,1),(103,1),(105,1),(106,1),(118,1),(152,1),(170,1)}
        84:{1,3,4,5,6}:{(62,1),(65,1),(107,1),(141,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(103,1),(107,1),(108,1),(142,1)}
        86:{1,4,6,7}:{(63,1),(64,1),(108,1),(110,1)}
        87:{1,2,5,6,7}:{(64,1),(72,1),(109,1),(112,1),(142,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(110,1)}
        89:{1,4,5,7}:{(66,1),(68,1),(110,1)}
        90:{1,3,5,6}:{(67,1),(68,1),(110,1),(112,1),(148,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(76,1),(112,1),(142,1)}
        92:{1,2,3,6,7}:{(69,1),(77,1),(113,1),(143,1),(148,1)}
        93:{2,3,4,5,6}:{(70,1),(73,1),(107,1),(114,1),(122,1),(165,1)}
        94:{1,3,4,5,7}:{(70,1),(71,1),(108,1),(114,1),(115,1),(147,1)}
        95:{2,4,6,7}:{(71,1),(72,1),(115,1),(116,1),(117,1)}
        96:{1,3,4,6}:{(73,1),(74,1),(75,1),(110,1),(117,1),(148,1)}
        97:{2,4,5,7}:{(74,1),(76,1),(117,1),(118,1),(120,1),(154,1)}
        98:{2,5,6}:{(75,1),(76,1),(117,1)}
        99:{2,3,5,7}:{(76,1),(77,1),(79,1),(119,1),(120,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(80,1),(119,1),(121,1),(148,1),(169,1)}
       101:{1,3,4,7}:{(79,1),(81,1),(120,1),(121,1)}
       102:{2,3,4,6}:{(80,1),(81,1),(121,1),(122,1)}
       103:{2,3,5,7}:{(82,1),(85,1),(123,1),(124,1)}
       104:{1,3,4,6,7}:{(82,1),(86,1),(124,1),(125,1),(126,1),(130,1),(160,1)}
       105:{2,3,4,6}:{(83,1),(88,1),(123,1),(126,1),(137,1)}
       106:{1,3,4,5,7}:{(83,1),(89,1),(124,1),(126,1),(127,1),(132,1),(160,1),(173,1)}
       107:{2,4,5,6}:{(84,1),(85,1),(88,1),(123,1),(128,1),(155,1)}
       108:{1,4,5,7}:{(85,1),(86,1),(124,1),(128,1)}
       109:{1,2,4,6,7}:{(86,1),(87,1),(95,1),(125,1),(129,1),(130,1),(131,1)}
       110:{1,4,6}:{(88,1),(89,1),(90,1)}
       111:{1,2,4,5,7}:{(89,1),(91,1),(97,1),(127,1),(131,1),(132,1),(134,1),(162,1)}
       112:{1,2,5,6}:{(90,1),(91,1),(98,1),(131,1),(155,1)}
       113:{1,2,3,5,7}:{(91,1),(92,1),(99,1),(132,1),(133,1),(134,1),(156,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(96,1),(128,1),(135,1),(140,1),(159,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(135,1),(136,1)}
       116:{2,3,6,7}:{(95,1),(130,1),(136,1),(137,1)}
       117:{2,4,6}:{(96,1),(97,1),(98,1),(137,1)}
       118:{2,3,5,7}:{(97,1),(132,1),(137,1),(138,1),(164,1)}
       119:{2,3,5,6}:{(98,1),(99,1),(100,1),(137,1),(139,1),(164,1)}
       120:{2,4,7}:{(99,1),(101,1),(139,1)}
       121:{1,3,4,6}:{(100,1),(101,1),(102,1),(139,1),(140,1)}
       122:{2,3,4,5}:{(102,1),(140,1),(172,1)}
       123:{2,3,5,6}:{(103,1),(105,1),(107,1),(141,1)}
       124:{1,3,5,7}:{(103,1),(104,1),(108,1),(141,1),(142,1)}
       125:{2,4,6,7}:{(104,1),(142,1),(143,1),(144,1),(166,1)}
       126:{1,3,4,6}:{(105,1),(106,1),(110,1),(141,1),(144,1),(148,1)}
       127:{2,4,5,7}:{(106,1),(142,1),(144,1),(145,1),(166,1),(174,1)}
       128:{1,4,5,6}:{(107,1),(108,1),(110,1),(141,1)}
       129:{1,2,4,5,7}:{(108,1),(109,1),(115,1),(142,1),(146,1),(147,1),(166,1)}
       130:{1,3,6,7}:{(109,1),(116,1),(143,1),(147,1),(148,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(112,1),(117,1),(144,1),(148,1)}
       132:{1,3,5,7}:{(111,1),(118,1),(145,1),(148,1),(149,1),(169,1)}
       133:{1,2,3,5,6}:{(112,1),(113,1),(119,1),(148,1),(150,1),(165,1),(169,1)}
       134:{1,2,4,7}:{(113,1),(120,1),(149,1),(150,1),(166,1)}
       135:{2,4,5,6}:{(114,1),(115,1),(117,1),(151,1),(154,1)}
       136:{2,3,5,7}:{(115,1),(116,1),(147,1),(151,1),(152,1)}
       137:{2,3,6}:{(117,1),(118,1),(148,1)}
       138:{2,3,4,7}:{(118,1),(120,1),(149,1),(153,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(154,1)}
       140:{1,3,4,5}:{(121,1),(122,1),(154,1),(169,1)}
       141:{1,3,5,6}:{(123,1),(124,1),(126,1),(128,1),(155,1)}
       142:{2,5,7}:{(124,1),(125,1),(155,1)}
       143:{2,3,6,7}:{(125,1),(130,1),(156,1),(157,1)}
       144:{2,4,6}:{(126,1),(127,1),(155,1),(157,1)}
       145:{2,3,5,7}:{(127,1),(132,1),(157,1),(158,1),(172,1)}
       146:{1,2,4,5,6}:{(128,1),(129,1),(131,1),(135,1),(155,1),(159,1),(162,1),(171,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(136,1),(156,1),(159,1),(160,1)}
       148:{1,3,6}:{(131,1),(132,1),(137,1),(157,1)}
       149:{1,3,4,7}:{(132,1),(134,1),(138,1),(158,1),(161,1)}
       150:{1,2,4,6}:{(133,1),(134,1),(139,1),(161,1),(162,1),(171,1)}
       151:{2,3,5,6}:{(135,1),(136,1),(137,1),(159,1),(163,1),(164,1)}
       152:{2,3,4,7}:{(136,1),(160,1),(163,1)}
       153:{2,3,4,6}:{(137,1),(138,1),(139,1),(161,1),(164,1)}
       154:{2,4,5}:{(139,1),(140,1),(164,1)}
       155:{2,5,6}:{(141,1),(142,1),(144,1)}
       156:{2,3,5,7}:{(142,1),(143,1),(147,1),(165,1),(166,1)}
       157:{2,3,6}:{(144,1),(145,1),(148,1)}
       158:{2,3,4,7}:{(145,1),(149,1),(166,1),(167,1)}
       159:{1,3,5,6}:{(146,1),(147,1),(148,1),(151,1),(165,1),(168,1),(169,1)}
       160:{1,3,4,7}:{(147,1),(152,1),(166,1),(168,1)}
       161:{1,3,4,6}:{(148,1),(149,1),(150,1),(153,1),(167,1),(169,1)}
       162:{1,2,4,5}:{(150,1),(154,1),(169,1),(174,1)}
       163:{2,3,4,6}:{(151,1),(152,1),(168,1),(170,1)}
       164:{2,3,5}:{(153,1),(154,1),(169,1)}
       165:{2,3,5,6}:{(155,1),(156,1),(157,1),(159,1),(171,1),(172,1)}
       166:{2,4,7}:{(156,1),(160,1),(171,1)}
       167:{2,3,4,6}:{(157,1),(158,1),(161,1),(171,1),(172,1)}
       168:{1,3,4,6}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       169:{1,3,5}:{(161,1),(162,1),(164,1),(172,1)}
       170:{2,3,4,5}:{(163,1),(164,1),(173,1)}
       171:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       172:{2,3,5}:{(167,1),(169,1),(174,1)}
       173:{1,3,4,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,5}:{(171,1),(172,1),(173,1)}

2909 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2910 :   0:{2,3,4,5,6}:{(2,1),(3,1),(28,1),(30,1),(58,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(19,1),(43,1),(72,1),(78,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(58,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(11,1),(26,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(11,1),(13,1),(60,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(78,1)}
        11:{2,4,5,7}:{(6,1),(7,1),(16,1),(18,1)}
        12:{1,2,4,5,6}:{(7,1),(17,1),(19,1),(42,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(79,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(11,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(26,1),(56,1),(89,1),(92,1)}
        18:{2,3,5,7}:{(11,1),(13,1),(25,1),(26,1),(27,1)}
        19:{1,3,5,6}:{(12,1),(13,1),(26,1),(28,1),(29,1),(64,1),(87,1),(98,1),(113,1)}
        20:{2,3,4,6}:{(13,1),(27,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(28,1),(31,1),(32,1),(64,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(18,1),(37,1),(108,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1)}
        27:{2,3,4,7}:{(18,1),(20,1),(40,1)}
        28:{2,3,5,6}:{(19,1),(39,1),(42,1),(79,1),(107,1),(108,1)}
        29:{1,3,4,6}:{(19,1),(20,1),(40,1),(42,1),(43,1)}
        30:{2,3,4,5}:{(20,1),(43,1),(79,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(45,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(42,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(28,1),(48,1),(49,1),(87,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(26,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(51,1),(54,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(26,1),(28,1),(53,1),(56,1),(92,1)}
        40:{1,3,4,7}:{(26,1),(27,1),(29,1),(56,1)}
        41:{2,3,4,5,7}:{(27,1),(30,1),(55,1),(57,1),(58,1),(94,1),(116,1)}
        42:{2,4,6}:{(28,1),(29,1),(56,1),(60,1)}
        43:{1,3,4,5}:{(29,1),(30,1),(60,1),(64,1),(87,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,2,4,7}:{(31,1),(32,1),(56,1),(62,1)}
        46:{1,3,4,6}:{(32,1),(59,1),(62,1),(64,1),(98,1)}
        47:{1,2,4,5}:{(32,1),(60,1),(64,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(66,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(42,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(40,1),(70,1),(73,1),(74,1),(78,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,4,7}:{(39,1),(40,1),(42,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(74,1),(77,1),(78,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        58:{2,3,4,6}:{(41,1),(75,1),(78,1),(108,1),(123,1)}
        59:{2,3,4,6}:{(42,1),(46,1),(67,1),(76,1),(79,1),(108,1)}
        60:{2,4,5}:{(42,1),(43,1),(79,1)}
        61:{1,2,4,6,7}:{(44,1),(45,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(77,1),(81,1),(82,1),(83,1),(109,1)}
        64:{1,3,5}:{(46,1),(47,1),(79,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,2,4,7}:{(48,1),(49,1),(56,1),(85,1)}
        67:{1,3,4,6}:{(49,1),(59,1),(85,1),(87,1),(113,1)}
        68:{1,2,4,5}:{(49,1),(60,1),(87,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(56,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(58,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(59,1),(62,1),(85,1),(94,1)}
        77:{2,4,5,7}:{(56,1),(57,1),(60,1),(92,1),(94,1),(95,1)}
        78:{1,3,4,6}:{(57,1),(58,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        79:{2,3,5}:{(59,1),(60,1),(64,1),(87,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(63,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(66,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,2,4,5,7}:{(66,1),(68,1),(77,1),(100,1),(101,1),(102,1),(119,1)}
        87:{1,3,5}:{(67,1),(68,1),(79,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(78,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(77,1),(78,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(86,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2911 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(24,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(28,1),(31,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(37,1),(42,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         7:{1,2,3,5}:{(3,1),(15,1)}
         8:{1,2,3,4,7}:{(3,1),(17,1),(46,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(49,1),(83,1)}
        10:{1,3,4,5}:{(4,1),(18,1),(21,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(5,1),(24,1),(26,1),(55,1),(59,1)}
        14:{1,2,3,6}:{(6,1),(25,1)}
        15:{1,2,4,5}:{(7,1),(27,1),(28,1)}
        16:{1,2,3,5,6}:{(7,1),(28,1),(30,1),(31,1),(60,1),(65,1)}
        17:{1,2,3,5,7}:{(7,1),(8,1),(29,1),(31,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(32,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(37,1),(60,1),(74,1),(91,1),(95,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(66,1),(94,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(32,1),(37,1),(38,1)}
        22:{1,3,4,5,7}:{(10,1),(12,1),(33,1),(38,1),(39,1),(73,1)}
        23:{1,2,4,5,6}:{(11,1),(34,1),(37,1),(40,1),(42,1),(74,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(38,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(39,1),(42,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(41,1),(72,1)}
        27:{1,3,4,5}:{(15,1),(18,1),(43,1)}
        28:{1,2,4,6}:{(15,1),(16,1),(43,1),(46,1)}
        29:{1,2,4,5,7}:{(15,1),(17,1),(44,1),(46,1),(47,1),(80,1)}
        30:{1,2,3,5,7}:{(16,1),(46,1),(48,1),(76,1),(80,1)}
        31:{1,2,3,6}:{(17,1),(47,1)}
        32:{2,3,4,6}:{(18,1),(21,1),(43,1),(49,1),(50,1)}
        33:{2,3,4,5,7}:{(18,1),(22,1),(44,1),(50,1),(51,1),(82,1)}
        34:{2,4,5,6}:{(19,1),(49,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(55,1),(76,1),(88,1),(99,1),(101,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(81,1),(100,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(49,1),(55,1)}
        38:{1,3,4,7}:{(21,1),(24,1),(50,1),(55,1)}
        39:{1,3,4,6}:{(22,1),(25,1),(51,1),(57,1)}
        40:{1,2,4,5,7}:{(23,1),(24,1),(52,1),(55,1),(58,1),(59,1),(88,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(56,1),(59,1)}
        42:{1,2,5,6}:{(25,1),(57,1),(59,1)}
        43:{1,3,4,6}:{(27,1),(28,1),(32,1),(60,1),(61,1)}
        44:{1,3,4,5,7}:{(27,1),(29,1),(33,1),(61,1),(62,1),(90,1)}
        45:{1,2,4,5,6}:{(28,1),(34,1),(60,1),(63,1),(65,1),(91,1)}
        46:{1,2,4,7}:{(28,1),(30,1),(61,1)}
        47:{1,2,4,6}:{(29,1),(31,1),(62,1),(65,1)}
        48:{1,2,3,6,7}:{(30,1),(31,1),(64,1),(89,1)}
        49:{2,3,5,6}:{(32,1),(34,1),(37,1),(60,1),(66,1)}
        50:{2,3,4,7}:{(32,1),(38,1),(61,1),(66,1)}
        51:{2,3,4,6}:{(33,1),(39,1),(62,1),(68,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(66,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(72,1),(89,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(66,1),(72,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(41,1),(67,1),(72,1),(73,1),(97,1)}
        57:{1,3,5,6}:{(39,1),(42,1),(68,1),(73,1),(74,1)}
        58:{1,2,4,6,7}:{(40,1),(69,1),(72,1),(75,1),(97,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(73,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(49,1),(76,1)}
        61:{1,3,4,7}:{(43,1),(46,1),(50,1),(76,1)}
        62:{1,3,4,6}:{(44,1),(47,1),(51,1),(78,1)}
        63:{1,2,4,5,7}:{(45,1),(46,1),(52,1),(76,1),(79,1),(80,1),(99,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(77,1),(80,1)}
        65:{1,2,5,6}:{(47,1),(78,1),(80,1)}
        66:{2,3,5,7}:{(49,1),(50,1),(52,1),(55,1),(76,1),(81,1)}
        67:{2,3,4,6,7}:{(50,1),(51,1),(56,1),(77,1),(81,1),(82,1),(100,1)}
        68:{2,3,5,6}:{(51,1),(57,1),(78,1),(82,1),(83,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(81,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(100,1)}
        72:{1,3,6,7}:{(55,1),(58,1),(81,1)}
        73:{1,3,5,7}:{(56,1),(57,1),(59,1),(82,1),(88,1)}
        74:{1,4,5,6}:{(57,1),(83,1),(88,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(87,1)}
        76:{1,3,5,7}:{(60,1),(61,1),(63,1),(66,1),(89,1)}
        77:{1,3,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(89,1),(90,1),(103,1)}
        78:{1,3,5,6}:{(62,1),(65,1),(68,1),(90,1),(91,1)}
        79:{1,2,4,6,7}:{(63,1),(69,1),(89,1),(92,1),(103,1)}
        80:{1,2,5,7}:{(64,1),(65,1),(90,1)}
        81:{2,3,6,7}:{(66,1),(69,1),(72,1),(89,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(73,1),(90,1),(94,1)}
        83:{2,4,5,6}:{(68,1),(74,1),(91,1),(94,1),(95,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,3,5,6,7}:{(72,1),(73,1),(75,1),(93,1),(97,1)}
        88:{1,4,5,7}:{(73,1),(74,1),(94,1),(97,1)}
        89:{1,3,6,7}:{(76,1),(79,1),(81,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(82,1),(99,1)}
        91:{1,4,5,6}:{(78,1),(83,1),(99,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(98,1)}
        93:{2,3,5,6,7}:{(81,1),(82,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        94:{2,4,5,7}:{(82,1),(83,1),(88,1),(99,1),(100,1),(101,1)}
        95:{3,4,5,6}:{(83,1),(101,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(100,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(100,1)}
        98:{1,3,5,6,7}:{(89,1),(90,1),(92,1),(93,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(91,1),(94,1),(103,1)}
       100:{2,4,6,7}:{(93,1),(94,1),(97,1),(103,1),(104,1)}
       101:{3,4,5,7}:{(94,1),(95,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(100,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

2912 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(44,1),(48,1),(80,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(66,1),(99,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(72,1),(94,1),(101,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(87,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(20,1),(45,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(20,1),(21,1),(85,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(106,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{1,2,4,5,6}:{(13,1),(29,1),(30,1),(64,1),(70,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(25,1),(31,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(104,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(52,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(45,1),(79,1),(84,1),(111,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1),(89,1),(116,1),(120,1),(135,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(40,1),(45,1),(47,1)}
        32:{2,3,4,6}:{(21,1),(46,1),(47,1),(48,1)}
        33:{1,2,3,5,6}:{(44,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(31,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(72,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{2,3,5,6}:{(30,1),(63,1),(64,1),(104,1),(124,1),(129,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(65,1)}
        46:{1,3,4,6}:{(30,1),(32,1),(64,1),(65,1),(66,1)}
        47:{2,3,4,7}:{(31,1),(32,1),(65,1)}
        48:{2,3,4,5}:{(32,1),(66,1),(104,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(63,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(64,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(45,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(76,1),(77,1),(87,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(91,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(52,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(44,1),(81,1),(82,1),(116,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(75,1),(84,1),(111,1)}
        64:{2,4,6}:{(44,1),(46,1),(84,1),(85,1)}
        65:{1,3,4,7}:{(45,1),(46,1),(47,1),(84,1)}
        66:{1,3,4,5}:{(46,1),(48,1),(85,1),(89,1),(116,1)}
        67:{2,3,4,5,7}:{(47,1),(48,1),(51,1),(77,1),(86,1),(87,1),(118,1),(132,1)}
        68:{1,3,4,6}:{(50,1),(83,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(84,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(85,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(65,1),(94,1),(95,1),(106,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(72,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(101,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(64,1),(100,1),(101,1),(102,1)}
        83:{2,3,4,6}:{(64,1),(68,1),(100,1),(103,1),(104,1),(129,1)}
        84:{2,4,7}:{(63,1),(64,1),(65,1)}
        85:{2,4,5}:{(64,1),(66,1),(104,1)}
        86:{1,3,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(95,1),(105,1),(106,1),(107,1),(127,1),(136,1)}
        87:{2,3,4,6}:{(67,1),(72,1),(96,1),(106,1),(129,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(103,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(104,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(84,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(87,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(91,1),(112,1),(139,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(115,1),(116,1),(135,1)}
       101:{1,2,4,7}:{(81,1),(82,1),(84,1),(115,1)}
       102:{1,2,4,5}:{(82,1),(85,1),(116,1)}
       103:{2,3,4,7}:{(83,1),(84,1),(88,1),(115,1),(118,1)}
       104:{2,3,5}:{(83,1),(85,1),(89,1),(116,1)}
       105:{2,4,5,7}:{(84,1),(85,1),(86,1),(111,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(86,1),(87,1),(91,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(101,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(106,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,3,5}:{(100,1),(102,1),(104,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(105,1),(122,1),(127,1),(128,1),(136,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(105,1),(106,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(117,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2913 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(43,1),(45,1),(82,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(28,1),(63,1),(102,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(70,1),(94,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(82,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(17,1),(41,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(17,1),(19,1),(84,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(102,1)}
        17:{2,4,5,7}:{(10,1),(11,1),(25,1),(27,1)}
        18:{1,2,4,5,6}:{(11,1),(26,1),(28,1),(62,1),(72,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(103,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(41,1),(80,1),(86,1),(114,1)}
        27:{2,3,5,7}:{(17,1),(19,1),(40,1),(41,1),(42,1)}
        28:{1,3,5,6}:{(18,1),(19,1),(41,1),(43,1),(44,1),(91,1),(112,1),(120,1),(132,1)}
        29:{2,3,4,6}:{(19,1),(42,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(51,1),(135,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(43,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(27,1),(57,1),(127,1)}
        41:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(60,1)}
        42:{2,3,4,7}:{(27,1),(29,1),(60,1)}
        43:{2,3,5,6}:{(28,1),(59,1),(62,1),(103,1),(126,1),(127,1)}
        44:{1,3,4,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        45:{2,3,4,5}:{(29,1),(63,1),(103,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(70,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(59,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(62,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(43,1),(75,1),(76,1),(112,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(41,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(78,1),(79,1),(82,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(77,1),(80,1),(114,1)}
        60:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1)}
        61:{2,3,4,5,7}:{(42,1),(45,1),(50,1),(79,1),(81,1),(82,1),(116,1),(133,1)}
        62:{2,4,6}:{(43,1),(44,1),(80,1),(84,1)}
        63:{1,3,4,5}:{(44,1),(45,1),(84,1),(91,1),(112,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(90,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(51,1),(87,1),(115,1),(135,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(80,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(83,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(84,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(94,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(62,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(65,1),(97,1),(98,1),(102,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,4,7}:{(59,1),(60,1),(62,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(63,1),(69,1),(98,1),(101,1),(102,1),(107,1),(123,1),(136,1)}
        82:{2,3,4,6}:{(61,1),(70,1),(99,1),(102,1),(127,1),(138,1)}
        83:{2,3,4,6}:{(62,1),(71,1),(95,1),(100,1),(103,1),(127,1)}
        84:{2,4,5}:{(62,1),(63,1),(103,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(70,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(100,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(101,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(103,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(80,1),(110,1)}
        95:{1,3,4,6}:{(76,1),(83,1),(110,1),(112,1),(132,1)}
        96:{1,2,4,5}:{(76,1),(84,1),(112,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(82,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(83,1),(88,1),(110,1),(116,1)}
       101:{2,4,5,7}:{(80,1),(81,1),(84,1),(114,1),(116,1),(117,1)}
       102:{1,3,4,6}:{(81,1),(82,1),(90,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       103:{2,3,5}:{(83,1),(84,1),(91,1),(112,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(90,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,2,4,5,7}:{(94,1),(96,1),(101,1),(122,1),(123,1),(124,1),(136,1)}
       112:{1,3,5}:{(95,1),(96,1),(103,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(102,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(103,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(101,1),(102,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(111,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2914 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2915 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(61,1),(62,1),(84,1),(85,1),(86,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(27,1),(29,1),(47,1),(72,1),(75,1),(95,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(39,1),(57,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(39,1),(61,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(87,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(71,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(50,1),(72,1),(76,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(78,1),(79,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(61,1),(62,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(86,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(61,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(67,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(25,1),(26,1),(46,1),(81,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(26,1),(27,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(27,1),(28,1),(31,1),(46,1),(52,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(76,1),(78,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(36,1),(62,1),(90,1)}
        24:{2,3,4,5,7}:{(19,1),(34,1),(36,1),(37,1),(64,1),(90,1),(103,1)}
        25:{1,3,4,5,6}:{(15,1),(18,1),(38,1),(60,1),(92,1)}
        26:{2,4,5,7}:{(15,1),(16,1),(34,1),(38,1),(39,1),(61,1),(90,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,2,5,6,7}:{(17,1),(40,1),(43,1),(61,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(67,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(61,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(67,1)}
        34:{2,3,5,7}:{(23,1),(26,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(27,1),(46,1),(47,1),(48,1),(52,1),(71,1),(81,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(29,1),(45,1),(48,1),(78,1),(98,1)}
        37:{1,3,4,5,7}:{(24,1),(30,1),(46,1),(48,1),(49,1),(54,1),(73,1),(81,1),(95,1),(100,1),(104,1)}
        38:{2,4,5,6}:{(25,1),(26,1),(29,1),(45,1),(50,1),(76,1),(98,1)}
        39:{1,4,5,7}:{(26,1),(27,1),(46,1),(50,1),(95,1)}
        40:{1,2,4,6,7}:{(27,1),(28,1),(47,1),(51,1),(52,1),(53,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(49,1),(53,1),(54,1),(56,1),(83,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(76,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(77,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(38,1),(60,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(39,1),(60,1),(61,1)}
        47:{2,4,6,7}:{(35,1),(61,1),(62,1),(63,1),(90,1)}
        48:{1,3,4,6}:{(36,1),(37,1),(41,1),(60,1),(63,1),(67,1),(86,1),(101,1)}
        49:{2,4,5,7}:{(37,1),(61,1),(63,1),(64,1),(90,1),(103,1)}
        50:{1,4,5,6}:{(38,1),(39,1),(41,1),(60,1),(101,1)}
        51:{1,2,4,5,7}:{(39,1),(40,1),(61,1),(65,1),(66,1),(90,1)}
        52:{1,3,6,7}:{(40,1),(62,1),(66,1),(67,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(63,1),(67,1)}
        54:{1,3,5,7}:{(42,1),(64,1),(67,1),(68,1),(93,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(67,1),(69,1),(89,1),(93,1)}
        56:{1,2,4,7}:{(44,1),(68,1),(69,1),(90,1)}
        57:{1,2,4,6,7}:{(47,1),(70,1),(71,1),(72,1),(95,1)}
        58:{1,2,4,5,7}:{(49,1),(70,1),(72,1),(73,1),(75,1),(95,1),(97,1),(104,1)}
        59:{1,2,3,5,7}:{(73,1),(74,1),(75,1),(97,1)}
        60:{1,3,5,6}:{(45,1),(46,1),(48,1),(50,1),(76,1)}
        61:{2,5,7}:{(46,1),(47,1),(76,1)}
        62:{2,3,6,7}:{(47,1),(52,1),(71,1),(77,1),(78,1)}
        63:{2,4,6}:{(48,1),(49,1),(76,1),(78,1)}
        64:{2,3,5,7}:{(49,1),(54,1),(73,1),(78,1),(79,1),(99,1)}
        65:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(76,1),(80,1),(83,1),(98,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(77,1),(80,1),(81,1)}
        67:{1,3,6}:{(53,1),(54,1),(78,1)}
        68:{1,3,4,7}:{(54,1),(56,1),(79,1),(82,1)}
        69:{1,2,4,6}:{(55,1),(56,1),(82,1),(83,1),(98,1)}
        70:{1,2,5,7}:{(57,1),(61,1),(84,1),(85,1)}
        71:{1,3,6,7}:{(57,1),(62,1),(85,1),(86,1)}
        72:{1,2,4,6}:{(58,1),(63,1),(84,1),(86,1),(101,1)}
        73:{1,3,5,7}:{(58,1),(64,1),(86,1),(87,1),(102,1)}
        74:{1,2,3,6}:{(59,1),(86,1),(88,1)}
        75:{1,2,4,7}:{(59,1),(87,1),(88,1)}
        76:{2,5,6}:{(60,1),(61,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(66,1),(85,1),(89,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        79:{2,3,4,7}:{(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(65,1),(66,1),(67,1),(89,1),(92,1),(93,1)}
        81:{1,3,4,7}:{(66,1),(90,1),(92,1)}
        82:{1,3,4,6}:{(67,1),(68,1),(69,1),(91,1),(93,1)}
        83:{1,2,4,5}:{(69,1),(93,1),(103,1)}
        84:{1,2,5,6}:{(70,1),(72,1),(76,1),(94,1),(97,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(77,1),(94,1),(95,1)}
        86:{1,3,6}:{(72,1),(73,1),(78,1)}
        87:{1,3,4,7}:{(73,1),(75,1),(79,1),(95,1),(96,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(96,1),(97,1)}
        89:{2,3,5,6}:{(76,1),(77,1),(78,1),(80,1),(94,1),(98,1),(99,1)}
        90:{2,4,7}:{(77,1),(81,1),(95,1),(98,1)}
        91:{2,3,4,6}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5}:{(82,1),(83,1),(99,1)}
        94:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        95:{1,4,7}:{(85,1),(90,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        97:{1,2,5}:{(88,1),(102,1)}
        98:{2,4,6}:{(89,1),(90,1),(92,1),(101,1),(103,1)}
        99:{2,3,5}:{(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,5}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,5}:{(101,1),(102,1),(103,1)}

2916 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(29,1),(94,1),(97,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(42,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(57,1),(97,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(75,1),(114,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(77,1),(138,1),(139,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(59,1),(101,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(97,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(114,1),(139,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(30,1),(36,1),(63,1),(68,1),(105,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(101,1),(133,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(107,1),(129,1),(132,1)}
        29:{1,2,3,4,6}:{(41,1),(42,1),(74,1),(76,1)}
        30:{1,2,3,5,7}:{(19,1),(20,1),(44,1),(45,1),(122,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(139,1)}
        41:{1,2,3,4,7}:{(29,1),(56,1),(97,1)}
        42:{1,2,3,5}:{(29,1),(57,1)}
        43:{2,3,4,5,6}:{(33,1),(60,1),(61,1),(100,1),(130,1)}
        44:{1,2,4,5,7}:{(30,1),(31,1),(62,1),(63,1),(68,1)}
        45:{1,2,3,5,6}:{(30,1),(63,1),(104,1)}
        46:{1,3,4,5}:{(31,1),(59,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(132,1),(133,1)}
        56:{1,2,3,5,7}:{(41,1),(42,1),(73,1),(74,1)}
        57:{1,2,4,5}:{(42,1),(75,1),(76,1)}
        58:{1,2,3,5,6}:{(42,1),(74,1),(76,1),(77,1),(111,1),(113,1)}
        59:{2,3,4,5}:{(46,1),(75,1),(79,1)}
        60:{1,3,4,5,6}:{(43,1),(49,1),(80,1),(81,1),(87,1),(113,1),(136,1)}
        61:{2,3,4,5,7}:{(43,1),(50,1),(81,1),(82,1),(119,1),(140,1)}
        62:{1,3,4,5,7}:{(44,1),(46,1),(78,1),(83,1),(88,1),(122,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(83,1)}
        64:{1,2,3,5,6,7}:{(45,1),(48,1),(85,1),(91,1),(122,1),(124,1),(141,1)}
        65:{1,3,4,5,6,7}:{(51,1),(86,1),(118,1),(142,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(79,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(80,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(97,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{1,3,4,5}:{(57,1),(59,1),(95,1)}
        76:{1,2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,3,5,7}:{(58,1),(94,1),(97,1),(127,1),(128,1)}
        78:{2,3,4,5,7}:{(59,1),(62,1),(92,1),(98,1),(101,1),(131,1)}
        79:{2,3,4,6}:{(59,1),(66,1),(95,1),(100,1),(101,1)}
        80:{2,4,5,6}:{(60,1),(100,1),(102,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(69,1),(102,1),(103,1),(108,1),(128,1),(143,1)}
        82:{2,3,4,6,7}:{(61,1),(70,1),(99,1),(103,1),(133,1),(145,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(98,1),(104,1)}
        84:{1,2,4,5,6}:{(63,1),(104,1),(106,1),(130,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(68,1),(105,1),(106,1),(145,1)}
        86:{2,4,5,6,7}:{(65,1),(70,1),(99,1),(107,1),(132,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(100,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(101,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(132,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(78,1),(110,1),(114,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(77,1),(112,1),(139,1)}
        95:{1,3,4,6}:{(75,1),(76,1),(79,1),(113,1),(114,1)}
        96:{1,2,4,5,6}:{(76,1),(80,1),(111,1),(113,1),(115,1),(136,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(114,1)}
        98:{2,3,4,6}:{(78,1),(83,1),(110,1),(116,1)}
        99:{2,3,5,6,7}:{(82,1),(86,1),(118,1)}
       100:{2,3,5,6}:{(79,1),(80,1),(87,1),(113,1),(119,1)}
       101:{2,3,4,7}:{(79,1),(88,1),(114,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(119,1),(120,1)}
       103:{1,3,4,6,7}:{(81,1),(82,1),(90,1),(118,1),(120,1),(124,1),(139,1),(146,1)}
       104:{1,3,5,6}:{(83,1),(84,1),(116,1),(122,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(88,1),(117,1),(122,1),(124,1)}
       106:{1,2,4,5,7}:{(84,1),(85,1),(122,1),(140,1)}
       107:{1,4,5,6,7}:{(86,1),(90,1),(118,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(119,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(120,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(98,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(126,1),(127,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(100,1),(128,1)}
       114:{1,3,4,7}:{(95,1),(97,1),(101,1),(128,1)}
       115:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(127,1),(128,1),(129,1),(143,1)}
       116:{2,3,5,6}:{(98,1),(104,1),(125,1),(130,1),(131,1)}
       117:{2,3,4,6,7}:{(98,1),(101,1),(105,1),(126,1),(131,1),(133,1),(145,1)}
       118:{1,3,5,6,7}:{(99,1),(103,1),(107,1),(132,1)}
       119:{2,3,5,7}:{(100,1),(101,1),(102,1),(108,1),(128,1),(133,1)}
       120:{2,4,6,7}:{(102,1),(103,1),(132,1),(133,1)}
       121:{1,3,4,5,6}:{(104,1),(130,1),(134,1)}
       122:{1,3,5,7}:{(104,1),(105,1),(106,1),(131,1)}
       123:{1,2,4,5,6,7}:{(106,1),(107,1),(109,1),(132,1),(135,1),(145,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(133,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(116,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(117,1),(137,1),(139,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{1,3,5,7}:{(113,1),(114,1),(115,1),(119,1),(139,1)}
       129:{1,2,4,6,7}:{(115,1),(120,1),(138,1),(139,1),(146,1)}
       130:{2,4,5,6}:{(116,1),(121,1),(136,1),(140,1)}
       131:{2,3,5,7}:{(116,1),(117,1),(122,1),(137,1),(140,1)}
       132:{2,5,6,7}:{(118,1),(120,1)}
       133:{2,3,6,7}:{(119,1),(120,1),(124,1),(139,1)}
       134:{1,3,4,5,7}:{(121,1),(122,1),(140,1),(142,1)}
       135:{1,3,5,6,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(130,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(129,1),(132,1),(144,1)}
       139:{1,3,6,7}:{(128,1),(129,1),(133,1)}
       140:{2,4,5,7}:{(130,1),(131,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6,7}:{(131,1),(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,6,7}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,6,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2917 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2918 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(14,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(24,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(81,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1)}
         5:{1,2,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(35,1),(40,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         7:{2,3,4,5}:{(10,1),(15,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(71,1),(76,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(91,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(21,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(21,1),(24,1)}
        12:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(56,1)}
        13:{1,2,3,5,7}:{(5,1),(24,1),(26,1),(52,1),(56,1)}
        14:{1,2,3,6}:{(6,1),(25,1)}
        15:{2,3,4,6}:{(7,1),(21,1),(27,1),(28,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(28,1),(29,1),(59,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(33,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(15,1),(33,1),(35,1),(36,1)}
        22:{1,3,4,5,7}:{(10,1),(12,1),(16,1),(34,1),(36,1),(37,1),(70,1)}
        23:{1,2,4,5,6}:{(11,1),(17,1),(35,1),(38,1),(40,1),(64,1),(71,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(36,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(37,1),(40,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(39,1),(69,1)}
        27:{2,3,5,6}:{(15,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,7}:{(15,1),(36,1),(42,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,6}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,5,7}:{(20,1),(22,1),(49,1),(50,1),(80,1)}
        35:{1,3,5,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,7}:{(21,1),(24,1),(28,1),(49,1),(52,1)}
        37:{1,3,4,6}:{(22,1),(25,1),(29,1),(50,1),(54,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(53,1),(56,1)}
        40:{1,2,5,6}:{(25,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(60,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(52,1),(58,1)}
        43:{2,3,4,6,7}:{(28,1),(29,1),(53,1),(58,1),(59,1),(86,1)}
        44:{2,3,5,6}:{(29,1),(54,1),(59,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(33,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,7}:{(33,1),(36,1),(65,1)}
        50:{2,3,4,6}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(71,1),(92,1)}
        52:{1,3,5,7}:{(35,1),(36,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(43,1),(66,1),(69,1),(70,1),(94,1)}
        54:{1,3,5,6}:{(37,1),(40,1),(44,1),(67,1),(70,1),(71,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(70,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(75,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,3,5,7}:{(43,1),(44,1),(70,1),(75,1)}
        60:{2,4,5,6}:{(44,1),(71,1),(75,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(49,1),(52,1),(78,1),(79,1)}
        66:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(79,1),(80,1),(98,1)}
        67:{2,3,5,6}:{(50,1),(54,1),(80,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,3,5,7}:{(53,1),(54,1),(56,1),(59,1),(80,1),(84,1)}
        71:{1,4,5,6}:{(54,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(61,1),(83,1),(86,1),(88,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        76:{3,4,5,6}:{(60,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,3,5,7}:{(66,1),(67,1),(70,1),(91,1)}
        81:{2,4,5,6}:{(67,1),(71,1),(91,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(75,1),(91,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(75,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(80,1),(83,1),(97,1),(98,1),(104,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(81,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2919 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(18,1),(151,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(11,1),(26,1),(163,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(169,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(37,1),(170,1)}
         4:{2,3,4,5,6}:{(8,1),(9,1),(42,1),(54,1),(123,1),(160,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(26,1),(48,1),(160,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(11,1),(173,1)}
         7:{1,2,4,5,6,7}:{(3,1),(11,1),(12,1),(22,1),(26,1),(53,1),(87,1),(91,1)}
         8:{2,3,4,5,7}:{(4,1),(5,1),(13,1),(38,1),(59,1)}
         9:{1,3,4,5,6}:{(4,1),(13,1),(14,1),(30,1),(72,1),(140,1),(168,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(13,1),(15,1),(33,1),(37,1),(168,1)}
        11:{2,5,6,7}:{(6,1),(15,1),(174,1)}
        12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(33,1),(67,1),(112,1)}
        13:{1,3,4,5,7}:{(8,1),(9,1),(10,1),(20,1),(43,1),(53,1)}
        14:{2,4,5,6}:{(9,1),(20,1),(21,1),(154,1),(172,1)}
        15:{2,4,6,7}:{(10,1),(11,1),(20,1),(23,1),(172,1)}
        16:{1,2,5,6,7}:{(11,1),(22,1),(25,1),(87,1),(128,1)}
        17:{2,3,5,6,7}:{(11,1),(12,1),(23,1),(25,1),(26,1),(48,1),(50,1),(87,1),(131,1)}
        18:{1,3,4,6,7}:{(12,1),(26,1),(27,1),(133,1)}
        19:{1,2,4,5,6}:{(14,1),(29,1),(30,1),(60,1),(72,1),(96,1),(109,1),(142,1)}
        20:{2,4,5,7}:{(13,1),(14,1),(15,1),(31,1)}
        21:{2,3,5,6}:{(14,1),(30,1),(31,1),(32,1),(137,1),(166,1)}
        22:{1,2,4,6,7}:{(15,1),(16,1),(29,1),(33,1),(37,1),(66,1),(142,1)}
        23:{2,3,6,7}:{(15,1),(31,1),(33,1),(166,1)}
        24:{1,3,4,5,6,7}:{(35,1),(39,1),(65,1),(110,1)}
        25:{1,3,5,6,7}:{(16,1),(17,1),(33,1),(37,1),(67,1),(148,1)}
        26:{2,4,6,7}:{(17,1),(18,1),(37,1),(38,1),(150,1)}
        27:{1,3,4,5,7}:{(18,1),(38,1),(39,1),(67,1)}
        28:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(83,1),(113,1),(163,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(43,1),(53,1),(80,1),(87,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(42,1),(43,1),(44,1),(119,1),(158,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(23,1),(43,1),(45,1)}
        32:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1)}
        33:{1,3,6,7}:{(22,1),(23,1),(43,1),(48,1),(158,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(49,1),(50,1),(83,1)}
        35:{2,4,5,6,7}:{(24,1),(47,1),(51,1),(54,1),(85,1),(129,1)}
        36:{1,2,3,5,6,7}:{(25,1),(48,1),(52,1),(74,1),(87,1),(90,1),(126,1),(128,1),(131,1),(152,1),(158,1),(171,1)}
        37:{1,4,6,7}:{(25,1),(26,1),(53,1),(162,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(50,1),(53,1),(54,1),(87,1)}
        39:{1,3,4,5,6}:{(27,1),(54,1),(88,1),(133,1)}
        40:{2,3,4,5,7}:{(28,1),(56,1),(57,1),(134,1),(149,1)}
        41:{1,3,4,5,6}:{(28,1),(57,1),(58,1),(62,1),(93,1),(103,1),(170,1)}
        42:{2,3,5,6}:{(30,1),(59,1),(60,1),(101,1),(109,1),(145,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(33,1),(59,1),(61,1)}
        44:{1,3,4,6}:{(30,1),(32,1),(60,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(31,1),(32,1),(61,1)}
        46:{2,3,4,5}:{(32,1),(62,1),(137,1)}
        47:{2,3,5,6,7}:{(35,1),(56,1),(65,1),(68,1)}
        48:{2,3,6,7}:{(33,1),(59,1),(66,1),(145,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(37,1),(61,1),(66,1),(67,1),(103,1)}
        50:{2,3,5,7}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,4,5,6,7}:{(35,1),(65,1),(72,1),(146,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(66,1),(70,1),(71,1),(95,1),(142,1),(146,1),(150,1),(164,1)}
        53:{1,4,5,7}:{(37,1),(38,1),(67,1),(72,1)}
        54:{2,4,5,6}:{(38,1),(39,1),(68,1),(72,1),(109,1),(150,1)}
        55:{1,2,3,5,6}:{(42,1),(74,1),(75,1),(113,1),(119,1),(128,1),(158,1)}
        56:{2,3,4,6,7}:{(40,1),(47,1),(76,1),(83,1),(129,1),(152,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(76,1),(77,1),(116,1),(161,1)}
        58:{2,4,5,6}:{(41,1),(77,1),(78,1),(81,1),(125,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(48,1),(80,1),(87,1)}
        60:{2,4,6}:{(42,1),(44,1),(80,1),(81,1)}
        61:{1,3,4,7}:{(43,1),(44,1),(45,1),(80,1)}
        62:{1,3,4,5}:{(44,1),(46,1),(81,1),(119,1)}
        63:{2,3,4,5,7}:{(45,1),(46,1),(50,1),(82,1),(83,1),(130,1),(155,1)}
        64:{1,2,3,6,7}:{(48,1),(74,1),(84,1),(152,1),(158,1)}
        65:{1,3,5,6,7}:{(47,1),(51,1),(76,1),(85,1),(88,1)}
        66:{2,4,6,7}:{(48,1),(49,1),(80,1),(87,1),(125,1)}
        67:{1,3,5,7}:{(49,1),(50,1),(53,1),(87,1),(88,1)}
        68:{2,3,5,6}:{(50,1),(54,1),(83,1),(88,1)}
        69:{1,2,4,5,6,7}:{(51,1),(85,1),(89,1),(91,1),(115,1),(129,1),(161,1),(171,1)}
        70:{1,3,4,6,7}:{(52,1),(86,1),(90,1),(118,1),(133,1),(158,1)}
        71:{1,2,4,5,7}:{(52,1),(53,1),(87,1),(90,1),(91,1),(130,1),(161,1),(171,1)}
        72:{1,4,5,6}:{(53,1),(54,1),(88,1),(162,1)}
        73:{1,2,4,5,6}:{(58,1),(92,1),(93,1),(96,1),(135,1),(142,1),(170,1),(174,1)}
        74:{1,2,3,5,7}:{(55,1),(59,1),(64,1),(95,1),(106,1),(134,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(60,1),(94,1),(95,1),(96,1),(135,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(65,1),(97,1),(103,1),(138,1),(146,1)}
        77:{2,4,5,7}:{(57,1),(58,1),(97,1),(98,1)}
        78:{2,3,5,6}:{(58,1),(93,1),(98,1),(99,1),(101,1),(145,1)}
        79:{2,3,4,6}:{(60,1),(94,1),(100,1),(101,1),(145,1)}
        80:{2,4,7}:{(59,1),(60,1),(61,1)}
        81:{2,4,5}:{(60,1),(62,1),(101,1)}
        82:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(67,1),(102,1),(103,1),(141,1),(147,1)}
        83:{2,3,4,6}:{(63,1),(68,1),(103,1),(150,1),(166,1)}
        84:{1,2,4,6,7}:{(64,1),(66,1),(95,1),(105,1),(106,1),(142,1),(164,1)}
        85:{2,5,6,7}:{(65,1),(97,1),(109,1)}
        86:{2,3,4,6,7}:{(66,1),(70,1),(100,1),(105,1),(108,1),(136,1),(145,1),(150,1),(164,1),(166,1)}
        87:{2,5,7}:{(66,1),(67,1),(109,1)}
        88:{1,3,5,6}:{(67,1),(68,1),(72,1),(103,1),(109,1)}
        89:{1,3,5,6,7}:{(69,1),(107,1),(110,1),(112,1),(138,1),(167,1)}
        90:{1,3,5,7}:{(70,1),(71,1),(108,1),(112,1)}
        91:{1,2,4,5,6}:{(71,1),(72,1),(109,1),(112,1),(142,1),(150,1),(170,1),(174,1)}
        92:{1,2,4,5,7}:{(73,1),(77,1),(115,1),(116,1),(153,1),(161,1),(171,1)}
        93:{1,3,5,6}:{(73,1),(78,1),(113,1),(116,1),(117,1),(119,1),(158,1)}
        94:{1,3,4,6}:{(75,1),(79,1),(114,1),(118,1),(119,1),(158,1)}
        95:{1,2,4,7}:{(74,1),(75,1),(80,1),(118,1),(153,1)}
        96:{1,2,4,5}:{(75,1),(81,1),(119,1),(154,1)}
        97:{2,4,6,7}:{(76,1),(77,1),(85,1),(121,1),(125,1)}
        98:{2,3,5,7}:{(77,1),(78,1),(116,1),(121,1),(122,1)}
        99:{2,3,4,6}:{(78,1),(117,1),(122,1),(123,1)}
       100:{2,3,4,7}:{(79,1),(80,1),(118,1),(124,1)}
       101:{2,3,5}:{(79,1),(81,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(87,1),(124,1),(125,1)}
       103:{1,3,4,6}:{(82,1),(83,1),(88,1),(125,1),(158,1),(162,1)}
       104:{1,2,5,6,7}:{(85,1),(115,1),(126,1),(128,1),(171,1)}
       105:{1,3,4,6,7}:{(84,1),(86,1),(118,1),(127,1),(158,1),(162,1)}
       106:{1,2,5,7}:{(84,1),(87,1),(127,1),(128,1),(171,1)}
       107:{2,3,5,6,7}:{(85,1),(89,1),(121,1),(126,1),(129,1),(131,1),(152,1),(159,1),(171,1)}
       108:{2,3,5,7}:{(86,1),(87,1),(90,1),(127,1),(130,1),(131,1),(171,1)}
       109:{2,5,6}:{(87,1),(88,1),(125,1)}
       110:{1,3,4,6,7}:{(89,1),(129,1),(132,1),(133,1)}
       111:{1,3,4,5,7}:{(90,1),(130,1),(133,1)}
       112:{1,3,5,6}:{(90,1),(91,1),(131,1),(133,1),(158,1)}
       113:{2,3,5,6}:{(93,1),(134,1),(135,1),(137,1),(166,1),(174,1)}
       114:{2,3,4,6}:{(94,1),(135,1),(136,1),(137,1),(166,1)}
       115:{1,2,4,6,7}:{(92,1),(97,1),(104,1),(138,1),(142,1),(146,1),(164,1)}
       116:{1,3,5,7}:{(92,1),(93,1),(98,1),(134,1),(138,1),(139,1)}
       117:{1,3,4,6}:{(93,1),(99,1),(135,1),(139,1),(140,1)}
       118:{1,3,4,7}:{(94,1),(95,1),(100,1),(136,1),(141,1)}
       119:{1,3,5}:{(94,1),(96,1),(101,1),(137,1)}
       120:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(106,1),(141,1),(142,1),(147,1),(165,1)}
       121:{2,3,6,7}:{(97,1),(98,1),(138,1),(145,1)}
       122:{2,3,4,7}:{(98,1),(99,1),(139,1)}
       123:{2,3,4,5}:{(99,1),(101,1),(140,1)}
       124:{2,3,5,7}:{(100,1),(101,1),(102,1),(141,1),(145,1)}
       125:{2,4,6}:{(102,1),(103,1),(109,1),(145,1)}
       126:{1,3,5,6,7}:{(104,1),(107,1),(138,1),(146,1),(148,1),(167,1)}
       127:{1,3,5,7}:{(105,1),(106,1),(108,1),(147,1),(148,1)}
       128:{1,2,5,6}:{(106,1),(109,1),(142,1),(148,1),(174,1)}
       129:{2,4,6,7}:{(107,1),(110,1),(146,1),(149,1),(150,1)}
       130:{2,4,5,7}:{(108,1),(111,1),(147,1),(150,1)}
       131:{2,3,5,6}:{(108,1),(109,1),(112,1),(145,1),(148,1),(150,1),(166,1),(174,1)}
       132:{1,3,4,5,7}:{(110,1),(149,1),(151,1),(167,1)}
       133:{1,3,4,6}:{(111,1),(112,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(152,1),(153,1),(171,1)}
       135:{2,4,6}:{(113,1),(117,1),(153,1),(154,1)}
       136:{2,3,4,7}:{(114,1),(118,1),(153,1),(155,1)}
       137:{2,3,5}:{(114,1),(119,1),(154,1)}
       138:{1,3,6,7}:{(115,1),(116,1),(121,1),(152,1),(158,1)}
       139:{1,3,4,7}:{(116,1),(117,1),(122,1),(153,1)}
       140:{1,3,4,5}:{(117,1),(119,1),(123,1),(154,1)}
       141:{1,3,5,7}:{(118,1),(119,1),(120,1),(124,1),(155,1),(158,1)}
       142:{1,2,4,6}:{(120,1),(125,1),(128,1),(158,1),(162,1),(172,1)}
       143:{2,3,4,6,7}:{(121,1),(122,1),(129,1),(156,1),(159,1),(160,1)}
       144:{2,3,4,5,7}:{(122,1),(123,1),(124,1),(130,1),(157,1),(159,1),(160,1)}
       145:{2,3,6}:{(124,1),(125,1),(158,1)}
       146:{1,4,6,7}:{(126,1),(129,1),(161,1),(162,1)}
       147:{1,4,5,7}:{(127,1),(130,1),(162,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(131,1),(158,1),(162,1)}
       149:{2,4,5,7}:{(129,1),(132,1),(159,1),(161,1),(163,1),(171,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(162,1)}
       151:{1,3,4,5,6}:{(132,1),(133,1),(163,1),(173,1)}
       152:{2,3,6,7}:{(134,1),(138,1),(164,1),(166,1)}
       153:{2,4,7}:{(134,1),(135,1),(139,1)}
       154:{2,4,5}:{(135,1),(137,1),(140,1)}
       155:{2,3,5,7}:{(136,1),(137,1),(141,1),(165,1),(166,1)}
       156:{1,3,4,6,7}:{(138,1),(139,1),(143,1),(146,1),(164,1),(167,1),(168,1)}
       157:{1,3,4,5,7}:{(139,1),(140,1),(141,1),(144,1),(147,1),(165,1),(167,1),(168,1)}
       158:{1,3,6}:{(141,1),(142,1),(145,1),(166,1)}
       159:{2,3,5,7}:{(143,1),(149,1),(167,1),(169,1)}
       160:{2,3,4,6}:{(144,1),(145,1),(150,1),(168,1),(169,1)}
       161:{1,4,5,7}:{(146,1),(149,1),(167,1),(170,1)}
       162:{1,4,6}:{(147,1),(148,1),(150,1)}
       163:{2,4,5,6}:{(149,1),(150,1),(151,1),(169,1),(170,1),(174,1)}
       164:{2,4,6,7}:{(152,1),(153,1),(156,1),(171,1),(172,1)}
       165:{2,4,5,7}:{(153,1),(154,1),(155,1),(157,1),(171,1),(172,1)}
       166:{2,3,6}:{(155,1),(158,1),(172,1)}
       167:{1,3,5,7}:{(156,1),(159,1),(161,1),(171,1),(173,1)}
       168:{1,3,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       169:{2,3,5,6}:{(159,1),(160,1),(163,1),(173,1)}
       170:{1,4,5,6}:{(161,1),(162,1),(163,1),(173,1)}
       171:{2,5,7}:{(164,1),(167,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       173:{1,3,5,6}:{(167,1),(168,1),(169,1),(170,1),(174,1)}
       174:{2,5,6}:{(171,1),(172,1),(173,1)}

2920 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(73,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(13,1),(17,1),(28,1),(35,1),(36,1),(65,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(13,1),(17,1),(94,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(42,1),(47,1),(52,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(111,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(23,1),(116,1)}
         6:{1,2,3,5,6,7}:{(11,1),(14,1),(29,1),(58,1),(65,1),(66,1),(98,1),(99,1),(100,1),(138,1),(159,1),(161,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(55,1)}
         8:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(17,1),(31,1),(39,1),(58,1),(65,1),(66,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(16,1),(66,1),(91,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(131,1)}
        11:{1,2,4,6,7}:{(6,1),(18,1),(19,1),(23,1),(48,1),(75,1),(117,1),(118,1),(122,1),(148,1)}
        12:{1,3,4,5,7}:{(7,1),(21,1),(22,1),(47,1)}
        13:{2,4,6,7}:{(7,1),(8,1),(22,1),(23,1),(75,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(47,1),(52,1),(78,1)}
        15:{2,3,4,5,7}:{(9,1),(22,1),(25,1),(26,1),(87,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(23,1),(26,1),(27,1),(52,1),(113,1)}
        17:{2,5,6,7}:{(10,1),(27,1),(147,1)}
        18:{1,2,4,5,7}:{(11,1),(28,1),(29,1),(35,1),(56,1),(65,1),(135,1),(159,1)}
        19:{1,3,4,6,7}:{(11,1),(29,1),(30,1),(55,1),(138,1),(139,1)}
        20:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(39,1),(61,1),(71,1)}
        21:{1,3,4,5,6}:{(12,1),(34,1),(55,1),(64,1)}
        22:{2,4,5,7}:{(12,1),(13,1),(31,1),(34,1),(35,1),(65,1)}
        23:{1,4,6,7}:{(13,1),(14,1),(35,1),(96,1)}
        24:{1,2,5,6,7}:{(14,1),(17,1),(36,1),(65,1),(99,1)}
        25:{2,3,4,5,6}:{(15,1),(34,1),(37,1),(91,1),(107,1),(167,1)}
        26:{1,3,4,5,7}:{(15,1),(16,1),(35,1),(37,1),(38,1),(69,1)}
        27:{2,4,6,7}:{(16,1),(17,1),(38,1),(39,1),(133,1)}
        28:{1,2,4,5,6}:{(18,1),(42,1),(50,1),(75,1),(86,1),(116,1),(118,1),(147,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(42,1),(43,1)}
        30:{2,3,4,6,7}:{(19,1),(43,1),(44,1),(48,1),(75,1),(126,1),(127,1),(148,1),(149,1),(150,1)}
        31:{2,3,5,7}:{(20,1),(22,1),(46,1),(47,1)}
        32:{1,3,4,6,7}:{(20,1),(23,1),(47,1),(48,1),(52,1),(83,1),(89,1)}
        33:{1,3,4,5,6,7}:{(21,1),(49,1),(74,1),(85,1)}
        34:{2,4,5,6}:{(21,1),(22,1),(46,1),(50,1),(75,1),(86,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(47,1),(50,1)}
        36:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(48,1),(51,1),(52,1),(118,1)}
        37:{1,3,4,5,6}:{(25,1),(26,1),(50,1),(53,1),(88,1),(113,1),(172,1)}
        38:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
        39:{2,3,6,7}:{(27,1),(52,1),(54,1),(149,1)}
        40:{1,3,4,5,7}:{(29,1),(55,1),(56,1)}
        41:{1,2,4,5,6,7}:{(28,1),(57,1),(67,1),(95,1),(106,1),(135,1),(137,1),(159,1)}
        42:{1,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(138,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(56,1),(58,1),(59,1),(65,1),(159,1)}
        44:{1,3,4,6,7}:{(30,1),(59,1),(60,1),(96,1),(138,1),(139,1)}
        45:{2,3,4,5,7}:{(31,1),(56,1),(61,1),(62,1),(71,1),(110,1),(134,1)}
        46:{2,3,5,6}:{(31,1),(34,1),(61,1),(64,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(64,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(65,1),(66,1),(104,1),(108,1)}
        49:{2,4,5,6,7}:{(33,1),(34,1),(63,1),(67,1),(95,1),(106,1)}
        50:{1,4,5,6}:{(34,1),(35,1),(64,1),(96,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(65,1),(68,1),(69,1),(108,1)}
        52:{1,3,6,7}:{(36,1),(39,1),(66,1),(69,1),(138,1)}
        53:{2,4,5,6}:{(37,1),(38,1),(70,1),(133,1),(174,1)}
        54:{2,3,5,7}:{(38,1),(39,1),(69,1),(70,1),(71,1)}
        55:{1,3,4,6}:{(40,1),(42,1),(75,1)}
        56:{2,4,5,7}:{(40,1),(43,1),(75,1),(76,1)}
        57:{1,3,5,6,7}:{(41,1),(42,1),(74,1),(77,1),(146,1),(153,1)}
        58:{2,3,5,6}:{(42,1),(43,1),(75,1),(78,1),(86,1),(126,1),(147,1),(149,1)}
        59:{1,3,5,7}:{(43,1),(44,1),(76,1),(78,1),(79,1)}
        60:{1,2,4,6,7}:{(44,1),(48,1),(79,1),(80,1),(118,1),(122,1),(148,1)}
        61:{2,3,4,6}:{(45,1),(46,1),(75,1),(83,1),(149,1)}
        62:{1,3,4,5,7}:{(45,1),(47,1),(76,1),(83,1),(84,1),(89,1),(119,1),(129,1)}
        63:{2,3,5,6,7}:{(46,1),(49,1),(82,1),(85,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(50,1),(83,1),(86,1)}
        65:{2,5,7}:{(47,1),(48,1),(86,1)}
        66:{2,3,6,7}:{(48,1),(52,1),(87,1),(126,1)}
        67:{1,4,5,6,7}:{(49,1),(50,1),(85,1),(117,1)}
        68:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(86,1),(88,1),(118,1),(128,1),(155,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        70:{2,3,5,6}:{(53,1),(54,1),(88,1),(90,1),(149,1),(170,1)}
        71:{2,3,4,7}:{(54,1),(89,1),(90,1)}
        72:{2,3,4,5,7}:{(56,1),(91,1),(92,1),(105,1),(130,1),(166,1),(167,1)}
        73:{1,3,4,5,6}:{(55,1),(93,1),(94,1),(131,1)}
        74:{1,3,4,6,7}:{(55,1),(57,1),(93,1),(95,1)}
        75:{2,4,6}:{(55,1),(56,1),(58,1),(96,1)}
        76:{1,4,5,7}:{(56,1),(59,1),(96,1)}
        77:{2,3,5,6,7}:{(57,1),(58,1),(95,1),(98,1),(106,1),(130,1),(143,1),(159,1),(161,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(96,1),(99,1),(138,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(65,1),(99,1),(159,1)}
        80:{1,2,3,6,7}:{(60,1),(66,1),(100,1),(138,1),(161,1)}
        81:{2,3,4,5,6}:{(61,1),(94,1),(101,1),(102,1),(110,1),(160,1)}
        82:{2,3,4,6,7}:{(61,1),(63,1),(95,1),(101,1),(103,1),(161,1)}
        83:{1,3,4,6}:{(61,1),(62,1),(64,1),(96,1),(104,1),(138,1)}
        84:{2,4,5,7}:{(62,1),(65,1),(104,1),(105,1),(108,1),(145,1)}
        85:{1,3,5,6,7}:{(63,1),(64,1),(67,1),(103,1),(106,1)}
        86:{2,5,6}:{(64,1),(65,1),(104,1)}
        87:{2,3,5,7}:{(65,1),(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(70,1),(107,1),(109,1),(138,1),(165,1)}
        89:{1,3,4,7}:{(69,1),(71,1),(108,1),(109,1)}
        90:{2,3,4,6}:{(70,1),(71,1),(109,1),(110,1)}
        91:{2,3,4,6}:{(72,1),(75,1),(111,1),(113,1),(126,1)}
        92:{1,3,4,5,7}:{(72,1),(76,1),(113,1),(114,1),(119,1),(146,1),(171,1),(172,1)}
        93:{1,3,4,5,7}:{(73,1),(74,1),(115,1),(146,1)}
        94:{2,4,5,6}:{(73,1),(75,1),(111,1),(115,1),(116,1),(147,1)}
        95:{2,4,6,7}:{(74,1),(75,1),(77,1),(115,1),(117,1)}
        96:{1,4,6}:{(75,1),(76,1),(78,1)}
        97:{1,2,4,5,7}:{(76,1),(79,1),(84,1),(114,1),(118,1),(119,1),(122,1),(155,1)}
        98:{1,3,5,6,7}:{(77,1),(78,1),(117,1),(120,1),(146,1),(153,1)}
        99:{1,2,5,6}:{(78,1),(79,1),(86,1),(118,1),(147,1)}
       100:{1,2,3,5,7}:{(79,1),(80,1),(87,1),(119,1),(121,1),(122,1),(168,1)}
       101:{2,3,4,5,7}:{(81,1),(82,1),(115,1),(123,1),(168,1)}
       102:{1,3,4,5,6}:{(81,1),(83,1),(116,1),(123,1),(124,1),(129,1),(152,1)}
       103:{1,3,4,6,7}:{(82,1),(83,1),(85,1),(117,1),(123,1),(125,1),(153,1)}
       104:{2,4,6}:{(83,1),(84,1),(86,1),(126,1)}
       105:{2,3,5,7}:{(84,1),(119,1),(126,1),(127,1),(158,1)}
       106:{2,5,6,7}:{(85,1),(86,1),(125,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(126,1),(128,1),(158,1)}
       108:{2,4,7}:{(87,1),(89,1),(128,1)}
       109:{1,3,4,6}:{(88,1),(89,1),(90,1),(128,1),(129,1)}
       110:{2,3,4,5}:{(90,1),(129,1),(170,1)}
       111:{2,3,5,6}:{(91,1),(94,1),(130,1),(131,1)}
       112:{2,3,4,6,7}:{(91,1),(95,1),(130,1),(132,1),(143,1),(166,1)}
       113:{1,3,4,6}:{(91,1),(92,1),(96,1),(131,1),(133,1),(138,1)}
       114:{2,4,5,7}:{(92,1),(133,1),(134,1),(159,1),(173,1),(174,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(95,1),(130,1),(135,1),(159,1)}
       116:{1,4,5,6}:{(94,1),(96,1),(131,1),(135,1)}
       117:{1,4,6,7}:{(95,1),(96,1),(98,1),(135,1)}
       118:{1,2,4,6}:{(96,1),(97,1),(99,1),(104,1),(133,1),(138,1)}
       119:{1,3,5,7}:{(97,1),(105,1),(134,1),(138,1),(139,1),(165,1)}
       120:{1,2,5,6,7}:{(98,1),(99,1),(106,1),(137,1),(159,1)}
       121:{1,2,3,5,6}:{(99,1),(100,1),(107,1),(138,1),(140,1),(160,1),(165,1)}
       122:{1,2,4,7}:{(100,1),(108,1),(139,1),(140,1),(173,1)}
       123:{1,3,4,5,7}:{(101,1),(102,1),(103,1),(135,1),(141,1),(163,1)}
       124:{2,4,5,6}:{(102,1),(104,1),(141,1),(142,1),(145,1)}
       125:{2,4,6,7}:{(103,1),(104,1),(106,1),(141,1),(143,1)}
       126:{2,3,6}:{(104,1),(105,1),(138,1)}
       127:{2,3,4,7}:{(105,1),(108,1),(139,1),(144,1)}
       128:{2,4,6}:{(107,1),(108,1),(109,1),(145,1)}
       129:{1,3,4,5}:{(109,1),(110,1),(145,1),(165,1)}
       130:{2,3,5,7}:{(111,1),(112,1),(115,1),(146,1)}
       131:{1,3,5,6}:{(111,1),(113,1),(116,1),(146,1),(147,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(117,1),(146,1),(148,1),(153,1),(171,1)}
       133:{2,4,6}:{(113,1),(114,1),(147,1),(149,1)}
       134:{2,3,5,7}:{(114,1),(119,1),(149,1),(150,1),(170,1)}
       135:{1,4,5,7}:{(115,1),(116,1),(117,1),(146,1)}
       136:{1,2,4,5,6}:{(116,1),(118,1),(124,1),(147,1),(151,1),(152,1),(155,1),(169,1)}
       137:{1,2,4,6,7}:{(117,1),(118,1),(120,1),(125,1),(148,1),(151,1),(153,1)}
       138:{1,3,6}:{(118,1),(119,1),(126,1),(149,1)}
       139:{1,3,4,7}:{(119,1),(122,1),(127,1),(150,1),(154,1)}
       140:{1,2,4,6}:{(121,1),(122,1),(128,1),(154,1),(155,1),(169,1)}
       141:{2,4,5,7}:{(123,1),(124,1),(125,1),(156,1)}
       142:{2,3,5,6}:{(124,1),(126,1),(152,1),(156,1),(157,1),(158,1)}
       143:{2,3,6,7}:{(125,1),(126,1),(153,1),(156,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(128,1),(154,1),(158,1)}
       145:{2,4,5}:{(128,1),(129,1),(158,1)}
       146:{1,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(159,1)}
       147:{2,5,6}:{(131,1),(133,1),(159,1)}
       148:{2,4,6,7}:{(132,1),(133,1),(159,1),(161,1),(173,1)}
       149:{2,3,6}:{(133,1),(134,1),(138,1)}
       150:{2,3,4,7}:{(134,1),(139,1),(162,1),(173,1)}
       151:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(141,1),(159,1),(163,1),(173,1)}
       152:{1,3,5,6}:{(136,1),(138,1),(142,1),(160,1),(163,1),(164,1),(165,1)}
       153:{1,3,6,7}:{(137,1),(138,1),(143,1),(161,1),(163,1)}
       154:{1,3,4,6}:{(138,1),(139,1),(140,1),(144,1),(162,1),(165,1)}
       155:{1,2,4,5}:{(140,1),(145,1),(165,1),(174,1)}
       156:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(166,1)}
       157:{2,3,4,6}:{(142,1),(164,1),(166,1),(167,1)}
       158:{2,3,5}:{(144,1),(145,1),(165,1)}
       159:{2,5,7}:{(146,1),(147,1),(148,1)}
       160:{2,3,5,6}:{(147,1),(149,1),(152,1),(168,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(148,1),(149,1),(153,1),(168,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(154,1),(169,1),(170,1)}
       163:{1,3,5,7}:{(151,1),(152,1),(153,1),(156,1),(168,1),(171,1)}
       164:{1,3,4,6}:{(152,1),(157,1),(169,1),(171,1),(172,1)}
       165:{1,3,5}:{(154,1),(155,1),(158,1),(170,1)}
       166:{2,3,4,7}:{(156,1),(157,1),(171,1)}
       167:{2,3,4,5}:{(157,1),(158,1),(172,1)}
       168:{2,3,5,7}:{(159,1),(160,1),(161,1),(163,1),(173,1)}
       169:{2,4,6}:{(160,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(162,1),(165,1),(174,1)}
       171:{1,3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{1,3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(171,1)}
       174:{2,4,5}:{(169,1),(170,1),(172,1)}

2921 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2922 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(63,1),(70,1),(100,1),(145,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(145,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(45,1),(93,1),(124,1),(162,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(162,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(98,1),(113,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(28,1),(61,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(28,1),(30,1),(147,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(28,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(106,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(74,1),(89,1),(137,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(128,1),(130,1),(157,1),(166,1)}
        28:{2,4,5,7}:{(17,1),(18,1),(19,1),(44,1)}
        29:{1,2,4,5,6}:{(18,1),(43,1),(45,1),(88,1),(93,1),(132,1),(139,1),(166,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(163,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(44,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(130,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(113,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(53,1),(96,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(53,1),(55,1),(115,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(106,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(105,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(61,1),(69,1),(111,1),(116,1)}
        44:{2,3,5,7}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(61,1),(63,1),(64,1),(153,1),(172,1)}
        46:{2,3,4,6}:{(30,1),(62,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(62,1),(67,1),(68,1),(113,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(152,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(106,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(137,1)}
        53:{2,4,5,7}:{(37,1),(38,1),(71,1),(73,1)}
        54:{1,2,4,5,6}:{(38,1),(72,1),(74,1),(123,1),(132,1),(164,1),(166,1),(173,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(138,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(130,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(130,1),(139,1),(164,1),(166,1),(173,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(86,1)}
        62:{2,3,4,7}:{(44,1),(46,1),(86,1)}
        63:{2,3,5,6}:{(45,1),(85,1),(88,1),(138,1),(139,1),(167,1)}
        64:{1,3,4,6}:{(45,1),(46,1),(86,1),(88,1),(89,1)}
        65:{2,3,4,5}:{(46,1),(89,1),(163,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(86,1),(90,1),(91,1),(137,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(130,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(53,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(96,1),(143,1),(148,1),(168,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(95,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(96,1),(98,1),(99,1),(153,1),(172,1)}
        75:{2,3,4,6}:{(55,1),(97,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(106,1)}
        79:{1,3,4,5,7}:{(59,1),(105,1),(106,1)}
        80:{1,2,3,5,6}:{(63,1),(98,1),(104,1),(107,1),(153,1),(154,1),(172,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(152,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(105,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(106,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(63,1),(66,1),(111,1),(116,1)}
        86:{1,3,4,7}:{(61,1),(62,1),(64,1),(111,1)}
        87:{2,3,4,5,7}:{(62,1),(65,1),(68,1),(105,1),(112,1),(113,1),(170,1)}
        88:{2,4,6}:{(63,1),(64,1),(111,1),(115,1)}
        89:{1,3,4,5}:{(64,1),(65,1),(115,1),(153,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(111,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(113,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(152,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(73,1),(118,1),(167,1)}
        96:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(121,1)}
        97:{2,3,4,7}:{(73,1),(75,1),(121,1)}
        98:{2,3,5,6}:{(74,1),(120,1),(123,1),(163,1),(173,1),(174,1)}
        99:{1,3,4,6}:{(74,1),(75,1),(121,1),(123,1),(124,1)}
       100:{2,3,4,5}:{(75,1),(124,1),(138,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(130,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(80,1),(81,1),(85,1),(120,1),(128,1),(133,1),(165,1)}
       105:{2,4,5,7}:{(79,1),(83,1),(129,1),(130,1)}
       106:{1,3,4,6}:{(79,1),(84,1),(130,1)}
       107:{1,2,4,6}:{(80,1),(88,1),(123,1),(128,1),(131,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(128,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(129,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(130,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,4,7}:{(85,1),(86,1),(88,1)}
       112:{1,3,4,5,7}:{(86,1),(87,1),(89,1),(91,1),(129,1),(136,1),(137,1),(165,1)}
       113:{2,3,4,6}:{(87,1),(92,1),(130,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(88,1),(131,1),(135,1),(138,1),(167,1)}
       115:{2,4,5}:{(88,1),(89,1),(138,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(137,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(96,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(97,1),(102,1),(141,1),(142,1),(145,1)}
       120:{2,3,5,7}:{(96,1),(98,1),(140,1),(143,1),(168,1)}
       121:{1,3,4,7}:{(96,1),(97,1),(99,1),(143,1)}
       122:{2,3,4,5,7}:{(97,1),(100,1),(105,1),(142,1),(144,1),(145,1),(155,1)}
       123:{2,4,6}:{(98,1),(99,1),(143,1),(147,1)}
       124:{1,3,4,5}:{(99,1),(100,1),(147,1),(153,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(152,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(106,1),(149,1),(169,1)}
       128:{1,2,4,7}:{(104,1),(107,1),(111,1),(143,1),(150,1)}
       129:{1,4,5,7}:{(105,1),(109,1),(152,1)}
       130:{2,4,6}:{(105,1),(106,1),(110,1),(152,1)}
       131:{1,3,4,6}:{(107,1),(114,1),(146,1),(150,1),(153,1),(172,1)}
       132:{1,2,4,5}:{(107,1),(115,1),(147,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(152,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(114,1),(150,1),(155,1)}
       136:{2,4,5,7}:{(111,1),(112,1),(115,1),(116,1),(155,1),(156,1)}
       137:{1,3,4,6}:{(112,1),(113,1),(117,1),(152,1),(156,1),(172,1)}
       138:{2,3,5}:{(114,1),(115,1),(153,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(121,1),(125,1),(157,1),(158,1),(162,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,4,7}:{(120,1),(121,1),(123,1)}
       144:{1,3,4,5,7}:{(121,1),(122,1),(124,1),(129,1),(158,1),(161,1),(162,1),(165,1)}
       145:{2,3,4,6}:{(122,1),(130,1),(159,1),(162,1),(167,1)}
       146:{2,3,4,6}:{(123,1),(131,1),(160,1),(163,1),(174,1)}
       147:{2,4,5}:{(123,1),(124,1),(163,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(130,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(131,1),(135,1),(160,1),(165,1)}
       151:{1,2,4,5,7}:{(128,1),(129,1),(132,1),(133,1),(136,1),(161,1),(165,1),(166,1)}
       152:{1,4,6}:{(129,1),(130,1),(134,1)}
       153:{1,3,5}:{(131,1),(132,1),(138,1),(163,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(138,1),(165,1),(167,1)}
       156:{2,4,6}:{(136,1),(137,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(143,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(145,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(146,1),(150,1),(170,1)}
       161:{2,4,5,7}:{(143,1),(144,1),(147,1),(168,1),(170,1),(171,1)}
       162:{1,3,4,6}:{(144,1),(145,1),(152,1),(169,1),(171,1),(172,1)}
       163:{2,3,5}:{(146,1),(147,1),(153,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(152,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(153,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(151,1),(152,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(162,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(163,1),(165,1),(174,1)}
       171:{2,4,6}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2923 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(46,1),(48,1),(80,1),(85,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(31,1),(67,1),(99,1),(105,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(70,1),(94,1),(100,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(85,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(44,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(19,1),(21,1),(87,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(105,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(13,1),(25,1),(30,1)}
        20:{1,2,4,5,6}:{(13,1),(29,1),(31,1),(66,1),(72,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(106,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(51,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(44,1),(79,1),(83,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(21,1),(40,1),(44,1),(45,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(44,1),(46,1),(47,1),(91,1),(117,1),(120,1),(135,1)}
        32:{2,3,4,6}:{(21,1),(45,1),(47,1),(48,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(46,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(70,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(64,1)}
        45:{2,3,4,7}:{(30,1),(32,1),(64,1)}
        46:{2,3,5,6}:{(31,1),(63,1),(66,1),(106,1),(124,1),(129,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(64,1),(66,1),(67,1)}
        48:{2,3,4,5}:{(32,1),(67,1),(106,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(63,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(66,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(85,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(90,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(51,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(46,1),(81,1),(82,1),(117,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(46,1),(75,1),(83,1),(111,1)}
        64:{1,3,4,7}:{(44,1),(45,1),(47,1),(83,1)}
        65:{2,3,4,5,7}:{(45,1),(48,1),(50,1),(77,1),(84,1),(85,1),(118,1),(132,1)}
        66:{2,4,6}:{(46,1),(47,1),(83,1),(87,1)}
        67:{1,3,4,5}:{(47,1),(48,1),(87,1),(91,1),(117,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(83,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(86,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(87,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(64,1),(94,1),(95,1),(105,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(70,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(100,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(66,1),(100,1),(101,1),(102,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1)}
        84:{1,3,4,5,7}:{(64,1),(65,1),(67,1),(69,1),(95,1),(104,1),(105,1),(107,1),(127,1),(136,1)}
        85:{2,3,4,6}:{(65,1),(70,1),(96,1),(105,1),(129,1),(138,1)}
        86:{2,3,4,6}:{(66,1),(71,1),(101,1),(103,1),(106,1),(129,1)}
        87:{2,4,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(103,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(104,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(106,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(83,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(85,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(90,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(83,1),(115,1)}
       101:{1,3,4,6}:{(82,1),(86,1),(115,1),(117,1),(135,1)}
       102:{1,2,4,5}:{(82,1),(87,1),(117,1)}
       103:{2,3,4,7}:{(83,1),(86,1),(88,1),(115,1),(118,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(87,1),(111,1),(118,1),(119,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(90,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       106:{2,3,5}:{(86,1),(87,1),(91,1),(117,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(105,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(104,1),(122,1),(127,1),(128,1),(136,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(106,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(104,1),(105,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2924 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2925 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2926 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(30,1),(94,1),(103,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(44,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(103,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(80,1),(120,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(82,1),(138,1),(142,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(63,1),(105,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(103,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(120,1),(142,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(29,1),(36,1),(58,1),(68,1),(98,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(105,1),(135,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(100,1),(130,1),(134,1)}
        29:{1,2,3,5,7}:{(19,1),(20,1),(42,1),(43,1),(117,1)}
        30:{1,2,3,4,6}:{(41,1),(44,1),(74,1),(81,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(142,1)}
        41:{1,2,3,4,7}:{(30,1),(56,1),(103,1)}
        42:{1,2,4,5,7}:{(29,1),(31,1),(57,1),(58,1),(68,1)}
        43:{1,2,3,5,6}:{(29,1),(58,1),(97,1)}
        44:{1,2,3,5}:{(30,1),(61,1)}
        45:{2,3,4,5,6}:{(33,1),(64,1),(65,1),(104,1),(128,1)}
        46:{1,3,4,5}:{(31,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(130,1),(135,1)}
        56:{1,2,3,5,7}:{(41,1),(44,1),(73,1),(74,1)}
        57:{1,3,4,5,7}:{(42,1),(46,1),(75,1),(76,1),(88,1),(117,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(76,1)}
        59:{1,2,3,5,6,7}:{(43,1),(48,1),(78,1),(91,1),(117,1),(124,1),(140,1)}
        60:{1,3,4,5,6,7}:{(51,1),(79,1),(115,1),(141,1)}
        61:{1,2,4,5}:{(44,1),(80,1),(81,1)}
        62:{1,2,3,5,6}:{(44,1),(74,1),(81,1),(82,1),(111,1),(119,1)}
        63:{2,3,4,5}:{(46,1),(80,1),(83,1)}
        64:{1,3,4,5,6}:{(45,1),(49,1),(84,1),(85,1),(87,1),(119,1),(136,1)}
        65:{2,3,4,5,7}:{(45,1),(50,1),(85,1),(86,1),(122,1),(139,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(83,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(84,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(61,1),(92,1),(93,1),(103,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{2,3,4,5,7}:{(57,1),(63,1),(92,1),(95,1),(105,1),(129,1)}
        76:{1,3,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,4,5,6}:{(58,1),(97,1),(99,1),(128,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(98,1),(99,1),(145,1)}
        79:{2,4,5,6,7}:{(60,1),(70,1),(96,1),(100,1),(130,1),(145,1)}
        80:{1,3,4,5}:{(61,1),(63,1),(101,1)}
        81:{1,2,4,6}:{(61,1),(62,1),(101,1),(103,1)}
        82:{1,2,3,5,7}:{(62,1),(94,1),(103,1),(127,1),(133,1)}
        83:{2,3,4,6}:{(63,1),(66,1),(101,1),(104,1),(105,1)}
        84:{2,4,5,6}:{(64,1),(104,1),(106,1)}
        85:{1,3,4,5,7}:{(64,1),(65,1),(69,1),(106,1),(107,1),(108,1),(133,1),(143,1)}
        86:{2,3,4,6,7}:{(65,1),(70,1),(96,1),(107,1),(135,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(104,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(105,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(106,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(130,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(80,1),(110,1),(120,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(82,1),(112,1),(142,1)}
        95:{2,3,4,6}:{(75,1),(76,1),(110,1),(113,1)}
        96:{2,3,5,6,7}:{(79,1),(86,1),(115,1)}
        97:{1,3,5,6}:{(76,1),(77,1),(113,1),(117,1)}
        98:{1,3,4,6,7}:{(76,1),(78,1),(88,1),(114,1),(117,1),(124,1)}
        99:{1,2,4,5,7}:{(77,1),(78,1),(117,1),(139,1)}
       100:{1,4,5,6,7}:{(79,1),(90,1),(115,1),(146,1)}
       101:{1,3,4,6}:{(80,1),(81,1),(83,1),(119,1),(120,1)}
       102:{1,2,4,5,6}:{(81,1),(84,1),(111,1),(119,1),(121,1),(136,1)}
       103:{1,2,4,7}:{(81,1),(82,1),(120,1)}
       104:{2,3,5,6}:{(83,1),(84,1),(87,1),(119,1),(122,1)}
       105:{2,3,4,7}:{(83,1),(88,1),(120,1),(122,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(85,1),(86,1),(90,1),(115,1),(123,1),(124,1),(142,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(122,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(123,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(95,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(103,1),(126,1),(127,1)}
       113:{2,3,5,6}:{(95,1),(97,1),(125,1),(128,1),(129,1)}
       114:{2,3,4,6,7}:{(95,1),(98,1),(105,1),(126,1),(129,1),(135,1),(145,1)}
       115:{1,3,5,6,7}:{(96,1),(100,1),(107,1),(130,1)}
       116:{1,3,4,5,6}:{(97,1),(128,1),(131,1)}
       117:{1,3,5,7}:{(97,1),(98,1),(99,1),(129,1)}
       118:{1,2,4,5,6,7}:{(99,1),(100,1),(109,1),(130,1),(132,1),(145,1)}
       119:{1,3,5,6}:{(101,1),(102,1),(104,1),(133,1)}
       120:{1,3,4,7}:{(101,1),(103,1),(105,1),(133,1)}
       121:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(127,1),(133,1),(134,1),(143,1)}
       122:{2,3,5,7}:{(104,1),(105,1),(106,1),(108,1),(133,1),(135,1)}
       123:{2,4,6,7}:{(106,1),(107,1),(130,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(135,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(113,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(120,1),(137,1),(142,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{2,4,5,6}:{(113,1),(116,1),(136,1),(139,1)}
       129:{2,3,5,7}:{(113,1),(114,1),(117,1),(137,1),(139,1)}
       130:{2,5,6,7}:{(115,1),(123,1)}
       131:{1,3,4,5,7}:{(116,1),(117,1),(139,1),(141,1)}
       132:{1,3,5,6,7}:{(117,1),(118,1),(124,1),(140,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(122,1),(142,1)}
       134:{1,2,4,6,7}:{(121,1),(123,1),(138,1),(142,1),(146,1)}
       135:{2,3,6,7}:{(122,1),(123,1),(124,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(128,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(129,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(130,1),(134,1),(144,1)}
       139:{2,4,5,7}:{(128,1),(129,1),(131,1),(143,1),(145,1)}
       140:{2,3,5,6,7}:{(129,1),(130,1),(132,1),(135,1),(144,1),(145,1)}
       141:{1,3,4,6,7}:{(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(135,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(139,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(142,1),(146,1)}
       145:{2,4,6,7}:{(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2927 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2928 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(44,1),(112,1),(113,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(58,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(74,1),(113,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(89,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(95,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(117,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(48,1),(113,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(104,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(48,1),(81,1),(108,1),(114,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(88,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(53,1),(55,1),(88,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(48,1),(116,1),(117,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(70,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(63,1),(103,1),(104,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(79,1),(138,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(48,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(50,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(48,1),(50,1)}
        37:{1,2,3,4,6,7}:{(27,1),(51,1),(56,1),(86,1),(88,1),(120,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(48,1),(52,1),(114,1),(116,1)}
        39:{1,2,3,5}:{(27,1),(53,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(55,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(50,1),(55,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(55,1),(56,1),(88,1)}
        44:{1,2,3,4,6}:{(57,1),(58,1),(93,1),(94,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(60,1),(61,1),(65,1),(90,1),(142,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(59,1),(61,1),(100,1),(145,1)}
        47:{1,3,4,5,6,7}:{(34,1),(62,1),(96,1),(132,1)}
        48:{2,4,6,7}:{(34,1),(36,1),(38,1),(63,1)}
        49:{1,2,4,5,6}:{(35,1),(40,1),(60,1),(65,1),(66,1),(70,1)}
        50:{1,4,5,7}:{(35,1),(36,1),(41,1),(63,1)}
        51:{1,2,3,5,7}:{(37,1),(39,1),(67,1),(68,1),(133,1)}
        52:{1,3,5,6,7}:{(38,1),(41,1),(63,1),(69,1),(103,1)}
        53:{1,2,4,5}:{(39,1),(64,1),(70,1)}
        54:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        56:{1,2,3,6,7}:{(42,1),(43,1),(71,1),(103,1)}
        57:{1,2,3,4,7}:{(44,1),(73,1),(113,1)}
        58:{1,2,3,5}:{(44,1),(74,1)}
        59:{2,3,4,6,7}:{(46,1),(48,1),(76,1),(77,1),(116,1),(139,1)}
        60:{2,4,5,6}:{(45,1),(79,1),(80,1)}
        61:{1,3,4,5,7}:{(45,1),(46,1),(50,1),(77,1),(80,1),(85,1),(110,1),(146,1)}
        62:{2,4,5,6,7}:{(47,1),(48,1),(76,1),(81,1),(114,1),(139,1)}
        63:{1,4,6,7}:{(48,1),(50,1),(52,1)}
        64:{1,3,4,5}:{(53,1),(78,1),(84,1)}
        65:{1,3,5,6}:{(49,1),(79,1),(84,1),(85,1)}
        66:{1,2,4,5,7}:{(49,1),(50,1),(55,1),(80,1),(83,1),(85,1),(88,1)}
        67:{1,2,4,5,7}:{(51,1),(53,1),(82,1),(86,1),(88,1)}
        68:{1,2,3,5,6}:{(51,1),(86,1),(119,1)}
        69:{1,2,5,6,7}:{(52,1),(55,1),(83,1),(114,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(84,1),(88,1)}
        71:{1,2,3,5,7}:{(54,1),(55,1),(56,1),(85,1),(88,1)}
        72:{1,2,4,5,6}:{(60,1),(90,1),(91,1),(94,1),(126,1),(142,1)}
        73:{1,2,3,5,7}:{(57,1),(58,1),(92,1),(93,1)}
        74:{1,2,4,5}:{(58,1),(89,1),(94,1)}
        75:{1,2,3,5,6}:{(58,1),(90,1),(93,1),(94,1),(95,1),(126,1)}
        76:{2,3,5,6,7}:{(59,1),(62,1),(96,1)}
        77:{1,3,4,6,7}:{(59,1),(61,1),(63,1),(96,1),(98,1),(103,1),(124,1),(143,1)}
        78:{2,3,4,5}:{(64,1),(89,1),(99,1)}
        79:{2,3,5,6}:{(60,1),(65,1),(90,1),(99,1),(100,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(62,1),(63,1),(96,1),(143,1)}
        82:{1,3,4,5,7}:{(64,1),(67,1),(97,1),(102,1),(104,1),(133,1)}
        83:{1,2,4,6,7}:{(63,1),(66,1),(69,1),(98,1),(103,1)}
        84:{1,3,4,6}:{(64,1),(65,1),(70,1),(99,1),(104,1)}
        85:{1,3,5,7}:{(65,1),(66,1),(100,1),(103,1),(104,1)}
        86:{1,2,4,6}:{(67,1),(68,1),(102,1)}
        87:{1,2,3,5,6,7}:{(68,1),(69,1),(71,1),(103,1),(106,1),(128,1),(133,1)}
        88:{1,2,4,7}:{(70,1),(71,1),(104,1)}
        89:{1,3,4,5}:{(74,1),(78,1),(109,1)}
        90:{1,3,5,6}:{(72,1),(79,1),(109,1),(110,1)}
        91:{1,2,4,5,7}:{(72,1),(80,1),(108,1),(110,1),(113,1),(137,1),(146,1)}
        92:{1,2,4,5,7}:{(73,1),(74,1),(107,1),(111,1),(113,1),(137,1)}
        93:{1,2,3,6}:{(73,1),(111,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(109,1),(113,1)}
        95:{1,2,3,5,7}:{(75,1),(110,1),(112,1),(113,1),(137,1)}
        96:{1,3,5,6,7}:{(76,1),(77,1),(81,1),(114,1)}
        97:{2,3,4,5,7}:{(78,1),(82,1),(107,1),(115,1),(117,1),(140,1)}
        98:{2,4,6,7}:{(77,1),(80,1),(114,1),(116,1)}
        99:{2,3,4,6}:{(78,1),(79,1),(84,1),(109,1),(117,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(117,1)}
       101:{1,2,4,5,6,7}:{(81,1),(83,1),(114,1),(118,1),(121,1),(139,1)}
       102:{1,3,4,6}:{(82,1),(86,1),(115,1),(119,1)}
       103:{1,3,6,7}:{(83,1),(85,1),(116,1)}
       104:{1,3,4,7}:{(84,1),(85,1),(88,1),(117,1)}
       105:{1,2,4,5,6}:{(86,1),(119,1),(121,1),(138,1)}
       106:{1,2,4,6,7}:{(86,1),(87,1),(88,1),(120,1),(121,1),(139,1)}
       107:{1,3,4,5,7}:{(89,1),(92,1),(97,1),(123,1),(125,1),(144,1)}
       108:{1,2,4,6,7}:{(91,1),(98,1),(122,1),(124,1),(143,1)}
       109:{1,3,4,6}:{(89,1),(90,1),(94,1),(99,1),(125,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(100,1),(124,1),(125,1)}
       111:{1,2,4,6}:{(92,1),(93,1),(123,1),(126,1)}
       112:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(127,1)}
       113:{1,2,4,7}:{(94,1),(95,1),(125,1)}
       114:{2,5,6,7}:{(96,1),(98,1)}
       115:{2,3,4,6}:{(97,1),(102,1),(123,1),(129,1)}
       116:{2,3,6,7}:{(98,1),(100,1),(103,1),(124,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(104,1),(125,1)}
       118:{1,3,5,6,7}:{(101,1),(103,1),(128,1),(132,1),(133,1)}
       119:{1,3,5,6}:{(102,1),(105,1),(129,1),(133,1)}
       120:{1,3,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(130,1),(133,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(133,1),(145,1)}
       122:{1,2,5,6,7}:{(108,1),(114,1),(134,1),(137,1)}
       123:{1,3,4,6}:{(107,1),(111,1),(115,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(110,1),(116,1)}
       125:{1,3,4,7}:{(109,1),(110,1),(113,1),(117,1)}
       126:{1,2,5,6}:{(111,1),(135,1),(137,1)}
       127:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(136,1),(137,1)}
       128:{2,3,5,6,7}:{(114,1),(116,1),(118,1),(134,1),(139,1),(140,1)}
       129:{2,3,5,6}:{(115,1),(119,1),(135,1),(138,1),(140,1)}
       130:{2,3,4,6,7}:{(115,1),(116,1),(117,1),(120,1),(136,1),(139,1),(140,1)}
       131:{1,3,4,5,6}:{(119,1),(138,1),(141,1)}
       132:{1,3,4,6,7}:{(118,1),(139,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(140,1)}
       134:{1,3,5,6,7}:{(122,1),(124,1),(128,1),(143,1),(144,1)}
       135:{1,3,5,6}:{(123,1),(126,1),(129,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(130,1),(143,1),(144,1)}
       137:{1,2,5,7}:{(126,1),(127,1),(144,1)}
       138:{2,4,5,6}:{(129,1),(131,1),(142,1),(145,1)}
       139:{2,4,6,7}:{(128,1),(132,1),(143,1),(145,1)}
       140:{2,3,5,7}:{(129,1),(130,1),(133,1),(144,1),(145,1)}
       141:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(145,1)}
       142:{1,4,5,6}:{(135,1),(138,1),(146,1)}
       143:{1,4,6,7}:{(134,1),(139,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(146,1)}
       145:{2,4,5,7}:{(138,1),(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,5,7}:{(142,1),(143,1),(144,1),(145,1)}

2929 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(57,1),(97,1)}
         5:{1,2,4,5}:{(2,1),(11,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(81,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(20,1),(24,1),(53,1),(76,1),(115,1)}
        10:{1,2,3,6}:{(4,1),(20,1)}
        11:{1,3,4,5}:{(5,1),(18,1),(22,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(22,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(21,1),(24,1),(53,1),(55,1)}
        14:{1,2,3,4,6}:{(7,1),(25,1),(27,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(28,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(11,1),(28,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(11,1),(31,1),(33,1),(37,1),(72,1),(95,1),(129,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(34,1)}
        21:{1,2,3,6,7}:{(10,1),(13,1),(35,1),(75,1),(97,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(32,1),(36,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(69,1),(71,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(37,1)}
        25:{1,2,3,5}:{(14,1),(40,1)}
        26:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(42,1),(43,1),(47,1),(81,1),(84,1)}
        27:{1,2,3,6}:{(15,1),(43,1)}
        28:{1,3,4,5}:{(16,1),(18,1),(45,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(45,1),(46,1),(47,1)}
        30:{1,2,3,7}:{(17,1),(47,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(42,1),(48,1),(50,1),(78,1),(89,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(48,1),(51,1)}
        34:{1,2,5,6}:{(20,1),(51,1),(53,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(115,1),(141,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(49,1),(55,1)}
        37:{1,3,4,7}:{(22,1),(24,1),(50,1),(55,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(55,1),(56,1),(90,1),(92,1)}
        39:{1,2,3,4}:{(57,1)}
        40:{1,2,4,5}:{(25,1),(58,1),(59,1)}
        41:{1,2,3,5,6}:{(25,1),(27,1),(59,1),(60,1),(62,1),(99,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(58,1),(61,1),(65,1),(100,1),(103,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(27,1),(30,1),(60,1),(63,1),(134,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(32,1),(64,1),(65,1)}
        46:{1,2,5,6}:{(29,1),(64,1),(66,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(61,1),(67,1)}
        49:{2,3,5,6}:{(32,1),(36,1),(64,1),(69,1),(70,1)}
        50:{2,3,4,7}:{(32,1),(37,1),(65,1),(70,1)}
        51:{1,3,5,6}:{(33,1),(34,1),(67,1),(71,1),(72,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(68,1),(72,1),(75,1),(111,1),(129,1),(148,1)}
        53:{1,2,5,7}:{(34,1),(35,1),(72,1)}
        54:{1,3,4,5,6}:{(36,1),(69,1),(71,1),(74,1),(107,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(38,1),(70,1),(75,1)}
        56:{1,2,4,6,7}:{(38,1),(73,1),(75,1),(110,1),(111,1)}
        57:{1,2,3,5}:{(39,1),(76,1),(77,1)}
        58:{1,3,4,5}:{(40,1),(78,1),(79,1)}
        59:{1,2,4,6}:{(40,1),(41,1),(79,1),(81,1)}
        60:{1,2,3,5,7}:{(41,1),(44,1),(81,1),(84,1),(119,1)}
        61:{1,3,4,6}:{(42,1),(43,1),(48,1),(82,1)}
        62:{1,2,5,6}:{(43,1),(82,1),(84,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(83,1),(84,1),(87,1)}
        64:{1,3,5,6}:{(45,1),(46,1),(49,1),(85,1),(86,1)}
        65:{1,3,4,7}:{(45,1),(47,1),(50,1),(86,1)}
        66:{1,2,5,7}:{(46,1),(47,1),(86,1),(87,1)}
        67:{2,3,5,6}:{(48,1),(51,1),(82,1),(88,1),(89,1)}
        68:{2,3,4,6,7}:{(48,1),(50,1),(52,1),(83,1),(89,1),(91,1),(117,1),(125,1),(143,1)}
        69:{2,4,5,6}:{(49,1),(54,1),(85,1),(90,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(55,1),(86,1),(90,1),(91,1)}
        71:{1,4,5,6}:{(51,1),(88,1),(92,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(53,1),(89,1),(92,1)}
        73:{1,2,5,6,7}:{(53,1),(56,1),(93,1),(126,1),(141,1)}
        74:{1,3,4,5,7}:{(54,1),(55,1),(90,1),(92,1),(94,1),(124,1)}
        75:{1,3,6,7}:{(55,1),(56,1),(91,1)}
        76:{1,2,4,5}:{(57,1),(95,1),(96,1)}
        77:{1,2,3,6}:{(57,1),(96,1),(97,1)}
        78:{2,3,4,5}:{(58,1),(95,1),(98,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(98,1),(99,1),(100,1)}
        80:{1,2,4,5,6}:{(59,1),(62,1),(99,1),(101,1),(102,1),(131,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(100,1)}
        82:{1,3,5,6}:{(61,1),(62,1),(67,1),(102,1),(103,1)}
        83:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(68,1),(100,1),(103,1),(106,1),(134,1),(135,1)}
        84:{1,2,5,7}:{(62,1),(63,1),(103,1)}
        85:{1,4,5,6}:{(64,1),(69,1),(105,1)}
        86:{1,3,5,7}:{(64,1),(65,1),(66,1),(70,1),(105,1),(106,1)}
        87:{1,2,6,7}:{(66,1),(106,1)}
        88:{2,4,5,6}:{(67,1),(71,1),(102,1),(107,1),(108,1)}
        89:{2,3,5,7}:{(67,1),(68,1),(72,1),(103,1),(108,1)}
        90:{2,4,5,7}:{(69,1),(70,1),(74,1),(105,1),(110,1)}
        91:{2,3,6,7}:{(70,1),(75,1),(106,1),(110,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(108,1),(111,1)}
        93:{1,3,5,6,7}:{(72,1),(73,1),(75,1),(109,1),(111,1),(148,1),(153,1)}
        94:{1,3,4,6,7}:{(74,1),(75,1),(110,1),(111,1),(112,1),(137,1)}
        95:{1,3,4,5}:{(76,1),(78,1),(113,1)}
        96:{1,2,4,6}:{(76,1),(77,1),(113,1),(114,1),(115,1)}
        97:{1,2,3,7}:{(77,1),(115,1)}
        98:{2,3,4,6}:{(78,1),(79,1),(113,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(79,1),(80,1),(116,1),(119,1)}
       100:{1,3,4,7}:{(79,1),(81,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(84,1),(119,1),(120,1),(121,1),(142,1)}
       102:{1,4,5,6}:{(82,1),(88,1),(121,1)}
       103:{1,3,5,7}:{(82,1),(83,1),(84,1),(89,1),(121,1)}
       104:{1,2,5,6,7}:{(84,1),(87,1),(120,1),(122,1),(152,1)}
       105:{1,4,5,7}:{(85,1),(86,1),(90,1),(123,1)}
       106:{1,3,6,7}:{(86,1),(87,1),(91,1),(123,1)}
       107:{3,4,5,6}:{(88,1),(124,1)}
       108:{2,4,5,7}:{(88,1),(89,1),(92,1),(121,1),(124,1),(125,1)}
       109:{2,3,5,6,7}:{(89,1),(91,1),(93,1),(122,1),(125,1),(126,1),(143,1),(146,1),(152,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(94,1),(123,1),(126,1)}
       111:{1,4,6,7}:{(92,1),(93,1),(125,1)}
       112:{1,3,5,6,7}:{(94,1),(126,1),(127,1),(146,1)}
       113:{1,3,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1)}
       114:{1,2,5,6}:{(96,1),(128,1),(130,1)}
       115:{1,2,4,7}:{(96,1),(97,1),(129,1),(130,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(128,1),(131,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{1,3,4,5,6}:{(99,1),(102,1),(107,1),(131,1),(133,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1)}
       120:{1,2,4,6,7}:{(101,1),(104,1),(134,1),(135,1),(149,1)}
       121:{1,4,5,7}:{(102,1),(103,1),(108,1),(135,1)}
       122:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(109,1),(134,1),(135,1),(136,1)}
       123:{1,4,6,7}:{(105,1),(106,1),(110,1),(136,1)}
       124:{3,4,5,7}:{(107,1),(108,1),(137,1)}
       125:{2,4,6,7}:{(108,1),(109,1),(111,1),(135,1),(137,1)}
       126:{2,5,6,7}:{(110,1),(112,1),(136,1)}
       127:{1,4,5,6,7}:{(111,1),(112,1),(138,1),(153,1)}
       128:{1,3,5,6}:{(113,1),(114,1),(116,1),(139,1),(140,1)}
       129:{1,3,4,7}:{(113,1),(115,1),(117,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(140,1),(141,1)}
       131:{2,4,5,6}:{(116,1),(118,1),(139,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(119,1),(140,1),(142,1),(143,1)}
       133:{1,3,4,5,7}:{(118,1),(119,1),(121,1),(124,1),(142,1),(144,1)}
       134:{1,3,6,7}:{(119,1),(120,1),(143,1)}
       135:{1,4,6,7}:{(121,1),(122,1),(125,1)}
       136:{1,5,6,7}:{(123,1),(126,1)}
       137:{3,4,6,7}:{(124,1),(125,1),(146,1)}
       138:{2,4,5,6,7}:{(125,1),(126,1),(127,1),(145,1),(146,1),(152,1)}
       139:{1,4,5,6}:{(128,1),(131,1),(147,1)}
       140:{1,3,5,7}:{(128,1),(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{1,2,6,7}:{(130,1),(148,1)}
       142:{2,4,5,7}:{(131,1),(132,1),(133,1),(147,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(134,1),(148,1),(149,1)}
       144:{1,3,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(149,1),(150,1)}
       145:{1,4,5,6,7}:{(135,1),(136,1),(138,1),(150,1)}
       146:{3,5,6,7}:{(137,1),(138,1)}
       147:{1,4,5,7}:{(139,1),(140,1),(142,1),(151,1)}
       148:{1,3,6,7}:{(140,1),(141,1),(143,1),(151,1)}
       149:{2,4,6,7}:{(142,1),(143,1),(144,1),(151,1),(152,1)}
       150:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(152,1)}
       151:{1,4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{2,5,6,7}:{(149,1),(150,1),(153,1)}
       153:{1,5,6,7}:{(151,1),(152,1)}

2930 :  0:{1,2,3,4,7}:{(1,1),(2,1),(7,1),(30,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(17,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(15,1),(40,1)}
        3:{1,2,3,5}:{(1,1),(8,1)}
        4:{1,2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(25,1),(30,1),(33,1),(55,1)}
        5:{1,2,3,6}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(10,1),(13,1),(27,1),(35,1),(57,1)}
        7:{1,2,3,4}:{(15,1)}
        8:{1,2,4,5}:{(3,1),(16,1),(17,1)}
        9:{1,2,3,5,6}:{(3,1),(5,1),(17,1),(18,1),(20,1),(42,1)}
       10:{1,3,4,5,7}:{(4,1),(6,1),(14,1),(16,1),(19,1),(38,1),(43,1),(46,1),(69,1)}
       11:{1,2,4,6}:{(4,1),(5,1),(19,1),(20,1)}
       12:{1,2,3,6,7}:{(5,1),(18,1),(21,1),(40,1),(74,1)}
       13:{2,3,4,6}:{(6,1),(19,1),(22,1)}
       14:{2,3,4,5,7}:{(10,1),(24,1),(27,1),(52,1),(57,1)}
       15:{1,2,3,5}:{(7,1),(25,1),(26,1)}
       16:{1,3,4,5}:{(8,1),(27,1),(28,1)}
       17:{1,2,4,6}:{(8,1),(9,1),(28,1),(30,1)}
       18:{1,2,3,5,7}:{(9,1),(12,1),(30,1),(33,1),(59,1)}
       19:{1,3,4,6}:{(10,1),(11,1),(13,1),(24,1),(31,1)}
       20:{1,2,5,6}:{(11,1),(31,1),(33,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(30,1),(32,1),(33,1),(55,1),(82,1)}
       22:{2,3,5,6}:{(13,1),(31,1),(34,1),(35,1)}
       23:{2,3,4,6,7}:{(13,1),(32,1),(35,1),(57,1),(64,1),(84,1)}
       24:{2,3,4,6}:{(14,1),(19,1),(36,1)}
       25:{1,2,4,5}:{(15,1),(38,1),(39,1)}
       26:{1,2,3,6}:{(15,1),(39,1),(40,1)}
       27:{2,3,4,5}:{(16,1),(38,1),(41,1)}
       28:{1,3,4,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,2,4,5,6}:{(17,1),(20,1),(42,1),(44,1),(45,1),(71,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(43,1)}
       31:{1,3,5,6}:{(19,1),(20,1),(22,1),(36,1),(45,1),(46,1)}
       32:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(37,1),(43,1),(46,1),(69,1),(74,1),(75,1),(91,1)}
       33:{1,2,5,7}:{(20,1),(21,1),(46,1)}
       34:{2,4,5,6}:{(22,1),(45,1),(48,1),(49,1)}
       35:{2,3,5,7}:{(22,1),(23,1),(46,1),(49,1)}
       36:{2,3,5,6}:{(24,1),(31,1),(51,1),(52,1)}
       37:{2,3,4,6,7}:{(24,1),(32,1),(52,1),(57,1),(79,1),(84,1)}
       38:{1,3,4,5}:{(25,1),(27,1),(53,1)}
       39:{1,2,4,6}:{(25,1),(26,1),(53,1),(54,1),(55,1)}
       40:{1,2,3,7}:{(26,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(28,1),(53,1),(56,1),(57,1)}
       42:{1,3,5,6}:{(28,1),(29,1),(56,1),(59,1)}
       43:{1,3,4,7}:{(28,1),(30,1),(57,1),(59,1)}
       44:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(59,1),(60,1),(61,1),(83,1)}
       45:{1,4,5,6}:{(31,1),(34,1),(51,1),(61,1)}
       46:{1,3,5,7}:{(31,1),(32,1),(33,1),(35,1),(52,1),(61,1)}
       47:{1,2,5,6,7}:{(33,1),(60,1),(62,1),(82,1),(96,1)}
       48:{3,4,5,6}:{(34,1),(63,1)}
       49:{2,4,5,7}:{(34,1),(35,1),(61,1),(63,1),(64,1)}
       50:{2,3,5,6,7}:{(35,1),(62,1),(64,1),(84,1),(87,1),(96,1)}
       51:{2,4,5,6}:{(36,1),(45,1),(65,1),(66,1)}
       52:{2,3,5,7}:{(36,1),(37,1),(46,1),(66,1)}
       53:{1,3,4,6}:{(38,1),(39,1),(41,1),(68,1),(69,1)}
       54:{1,2,5,6}:{(39,1),(68,1),(70,1)}
       55:{1,2,4,7}:{(39,1),(40,1),(69,1),(70,1)}
       56:{2,3,5,6}:{(41,1),(42,1),(68,1),(71,1),(72,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(69,1),(72,1)}
       58:{1,3,4,5,6}:{(42,1),(45,1),(48,1),(65,1),(71,1),(73,1)}
       59:{1,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1)}
       60:{1,2,4,6,7}:{(44,1),(47,1),(74,1),(75,1),(92,1)}
       61:{1,4,5,7}:{(45,1),(46,1),(49,1),(66,1),(75,1)}
       62:{1,3,5,6,7}:{(46,1),(47,1),(50,1),(67,1),(74,1),(75,1),(91,1),(97,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(76,1)}
       64:{2,4,6,7}:{(49,1),(50,1),(75,1),(76,1)}
       65:{3,4,5,6}:{(51,1),(78,1)}
       66:{2,4,5,7}:{(51,1),(52,1),(61,1),(78,1),(79,1)}
       67:{2,3,5,6,7}:{(52,1),(62,1),(79,1),(84,1),(94,1),(96,1)}
       68:{1,3,5,6}:{(53,1),(54,1),(56,1),(80,1),(81,1)}
       69:{1,3,4,7}:{(53,1),(55,1),(57,1),(81,1)}
       70:{1,2,5,7}:{(54,1),(55,1),(81,1),(82,1)}
       71:{2,4,5,6}:{(56,1),(58,1),(80,1),(83,1)}
       72:{2,3,5,7}:{(56,1),(57,1),(59,1),(81,1),(83,1),(84,1)}
       73:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(63,1),(78,1),(83,1),(85,1)}
       74:{1,3,6,7}:{(59,1),(60,1),(84,1)}
       75:{1,4,6,7}:{(61,1),(62,1),(64,1),(79,1)}
       76:{3,4,6,7}:{(63,1),(64,1),(87,1)}
       77:{2,4,5,6,7}:{(64,1),(86,1),(87,1),(96,1)}
       78:{3,4,5,7}:{(65,1),(66,1),(88,1)}
       79:{2,4,6,7}:{(66,1),(67,1),(75,1),(88,1)}
       80:{1,4,5,6}:{(68,1),(71,1),(90,1)}
       81:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(90,1),(91,1)}
       82:{1,2,6,7}:{(70,1),(91,1)}
       83:{2,4,5,7}:{(71,1),(72,1),(73,1),(90,1),(92,1)}
       84:{2,3,6,7}:{(72,1),(74,1),(91,1),(92,1)}
       85:{1,3,4,6,7}:{(73,1),(74,1),(75,1),(76,1),(88,1),(92,1),(93,1)}
       86:{1,4,5,6,7}:{(75,1),(77,1),(89,1),(93,1),(97,1)}
       87:{3,5,6,7}:{(76,1),(77,1)}
       88:{3,4,6,7}:{(78,1),(79,1),(94,1)}
       89:{2,4,5,6,7}:{(79,1),(86,1),(94,1),(96,1)}
       90:{1,4,5,7}:{(80,1),(81,1),(83,1),(95,1)}
       91:{1,3,6,7}:{(81,1),(82,1),(84,1),(95,1)}
       92:{2,4,6,7}:{(83,1),(84,1),(85,1),(95,1),(96,1)}
       93:{1,3,5,6,7}:{(85,1),(86,1),(87,1),(94,1),(96,1)}
       94:{3,5,6,7}:{(88,1),(89,1)}
       95:{1,4,6,7}:{(90,1),(91,1),(92,1),(97,1)}
       96:{2,5,6,7}:{(92,1),(93,1),(97,1)}
       97:{1,5,6,7}:{(95,1),(96,1)}

2931 :   0:{2,3,4,5,6}:{(1,1),(2,1),(30,1),(102,1)}
         1:{1,3,4,5,6}:{(0,1),(4,1),(5,1),(19,1),(100,1),(101,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(48,1),(98,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(12,1),(95,1)}
         4:{2,4,5,6}:{(1,1),(12,1),(13,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(35,1),(94,1),(96,1)}
         6:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(65,1),(91,1)}
         7:{1,3,4,5,6}:{(3,1),(16,1),(17,1),(19,1),(100,1),(104,1)}
         8:{2,3,4,5,7}:{(3,1),(17,1),(18,1),(26,1),(87,1)}
         9:{1,2,4,5,6}:{(4,1),(16,1),(19,1),(20,1),(21,1),(85,1),(100,1)}
        10:{1,2,3,5,6}:{(19,1),(21,1),(22,1),(23,1),(58,1),(85,1)}
        11:{1,2,3,4,6}:{(21,1),(23,1),(24,1),(58,1)}
        12:{2,3,5,6}:{(4,1),(19,1),(25,1),(26,1)}
        13:{2,4,5,7}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,4,6,7}:{(5,1),(6,1),(27,1),(28,1),(54,1),(84,1),(88,1)}
        15:{2,3,5,6,7}:{(6,1),(28,1),(29,1)}
        16:{2,4,5,6}:{(7,1),(30,1),(31,1)}
        17:{1,3,4,5,7}:{(7,1),(8,1),(31,1),(32,1),(35,1),(94,1),(103,1)}
        18:{2,3,4,6,7}:{(8,1),(32,1),(33,1),(43,1),(76,1)}
        19:{1,3,5,6}:{(9,1),(12,1),(30,1),(34,1),(35,1)}
        20:{1,2,4,5,7}:{(9,1),(13,1),(31,1),(35,1),(36,1),(38,1),(73,1),(94,1)}
        21:{1,2,4,6}:{(10,1),(34,1),(37,1),(38,1)}
        22:{1,2,3,5,7}:{(10,1),(35,1),(38,1),(39,1),(73,1)}
        23:{1,2,3,5}:{(11,1),(37,1)}
        24:{1,2,3,4,7}:{(11,1),(38,1),(40,1)}
        25:{2,3,4,6}:{(12,1),(34,1),(41,1),(42,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(35,1),(42,1),(43,1)}
        27:{2,4,6,7}:{(13,1),(14,1),(43,1),(44,1)}
        28:{1,3,5,6,7}:{(14,1),(15,1),(44,1),(45,1),(77,1)}
        29:{2,4,5,6,7}:{(15,1),(45,1),(46,1),(91,1)}
        30:{2,3,5,6}:{(16,1),(19,1),(47,1),(48,1)}
        31:{2,4,5,7}:{(16,1),(17,1),(48,1),(49,1)}
        32:{1,3,4,6,7}:{(17,1),(18,1),(49,1),(50,1),(54,1),(84,1),(99,1)}
        33:{2,3,5,6,7}:{(18,1),(50,1),(51,1)}
        34:{1,3,4,6}:{(19,1),(21,1),(25,1),(47,1),(52,1),(53,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(26,1),(48,1),(53,1),(54,1)}
        36:{1,2,4,6,7}:{(20,1),(27,1),(49,1),(54,1),(55,1),(84,1)}
        37:{1,2,4,5}:{(21,1),(23,1),(52,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(53,1)}
        39:{1,2,3,6,7}:{(22,1),(54,1),(57,1),(58,1)}
        40:{1,2,3,5,7}:{(23,1),(24,1),(56,1),(58,1)}
        41:{2,3,4,5}:{(25,1),(52,1)}
        42:{2,3,4,7}:{(25,1),(26,1),(53,1)}
        43:{2,3,6,7}:{(26,1),(27,1),(54,1)}
        44:{2,5,6,7}:{(27,1),(28,1)}
        45:{1,4,5,6,7}:{(28,1),(29,1),(62,1),(84,1)}
        46:{3,4,5,6,7}:{(29,1),(99,1)}
        47:{2,3,4,6}:{(30,1),(34,1),(63,1),(64,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(35,1),(64,1),(65,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1)}
        50:{1,3,5,6,7}:{(32,1),(33,1),(66,1),(67,1),(92,1)}
        51:{2,4,5,6,7}:{(33,1),(67,1),(68,1),(76,1)}
        52:{1,3,4,5}:{(34,1),(37,1),(41,1),(63,1)}
        53:{1,3,4,7}:{(34,1),(35,1),(38,1),(42,1),(64,1)}
        54:{1,3,6,7}:{(35,1),(36,1),(43,1),(65,1)}
        55:{1,2,5,6,7}:{(36,1),(44,1),(66,1),(71,1),(73,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(40,1),(69,1),(72,1),(73,1)}
        57:{1,2,4,6,7}:{(38,1),(39,1),(70,1),(72,1),(73,1)}
        58:{1,2,3,6}:{(40,1),(72,1)}
        59:{2,3,4,5,7}:{(41,1),(42,1),(69,1),(74,1),(75,1)}
        60:{2,3,4,6,7}:{(42,1),(43,1),(70,1),(74,1),(75,1),(76,1)}
        61:{2,3,5,6,7}:{(43,1),(44,1),(71,1),(75,1),(76,1),(77,1)}
        62:{2,4,5,6,7}:{(44,1),(45,1),(76,1),(77,1)}
        63:{2,3,4,5}:{(47,1),(52,1)}
        64:{2,3,4,7}:{(47,1),(48,1),(53,1)}
        65:{2,3,6,7}:{(48,1),(49,1),(54,1)}
        66:{2,5,6,7}:{(49,1),(50,1)}
        67:{1,4,5,6,7}:{(50,1),(51,1),(81,1),(84,1)}
        68:{3,4,5,6,7}:{(51,1),(88,1)}
        69:{1,3,4,5,7}:{(52,1),(53,1),(56,1),(59,1),(78,1),(82,1),(83,1)}
        70:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(60,1),(79,1),(82,1),(83,1),(84,1)}
        71:{1,3,5,6,7}:{(54,1),(55,1),(61,1),(80,1),(83,1),(84,1)}
        72:{1,2,4,6}:{(56,1),(58,1),(82,1),(85,1)}
        73:{1,2,5,7}:{(57,1),(83,1),(85,1)}
        74:{2,3,4,6}:{(59,1),(82,1),(86,1)}
        75:{2,3,5,7}:{(60,1),(83,1),(86,1),(87,1)}
        76:{2,4,6,7}:{(61,1),(84,1),(87,1),(88,1)}
        77:{3,5,6,7}:{(62,1),(88,1)}
        78:{2,3,4,5,7}:{(63,1),(64,1),(69,1),(89,1),(90,1)}
        79:{2,3,4,6,7}:{(64,1),(65,1),(70,1),(89,1),(90,1),(91,1)}
        80:{2,3,5,6,7}:{(65,1),(66,1),(71,1),(90,1),(91,1),(92,1)}
        81:{2,4,5,6,7}:{(66,1),(67,1),(91,1),(92,1)}
        82:{1,3,4,6}:{(69,1),(72,1),(74,1),(89,1),(93,1)}
        83:{1,3,5,7}:{(70,1),(73,1),(75,1),(90,1),(93,1),(94,1)}
        84:{1,4,6,7}:{(71,1),(76,1),(91,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(73,1),(93,1)}
        86:{2,3,5,6}:{(74,1),(75,1),(93,1),(95,1)}
        87:{2,4,5,7}:{(75,1),(76,1),(94,1),(95,1),(96,1)}
        88:{3,4,6,7}:{(76,1),(77,1),(96,1)}
        89:{2,3,4,6}:{(78,1),(82,1),(97,1)}
        90:{2,3,5,7}:{(79,1),(83,1),(97,1),(98,1)}
        91:{2,4,6,7}:{(80,1),(84,1),(98,1),(99,1)}
        92:{3,5,6,7}:{(81,1),(99,1)}
        93:{1,3,5,6}:{(82,1),(83,1),(85,1),(86,1),(97,1),(100,1)}
        94:{1,4,5,7}:{(83,1),(84,1),(87,1),(98,1),(100,1)}
        95:{2,4,5,6}:{(86,1),(87,1),(100,1),(101,1)}
        96:{3,4,5,7}:{(87,1),(88,1),(101,1)}
        97:{2,3,5,6}:{(89,1),(90,1),(93,1),(102,1)}
        98:{2,4,5,7}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
        99:{3,4,6,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6}:{(95,1),(96,1)}
       102:{2,4,5,6}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,5,7}:{(98,1),(99,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

2932 :   0:{1,3,4,5,6,7}:{(1,1),(7,1),(24,1),(79,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(13,1),(35,1),(102,1)}
         2:{1,3,4,5,6,7}:{(5,1),(16,1),(42,1),(52,1)}
         3:{2,3,5,6,7}:{(1,1),(6,1),(7,1),(124,1)}
         4:{1,4,5,6,7}:{(1,1),(7,1),(50,1),(125,1)}
         5:{2,4,5,6,7}:{(2,1),(9,1),(10,1),(27,1),(58,1),(71,1)}
         6:{2,3,4,6,7}:{(3,1),(11,1),(12,1),(35,1),(67,1),(143,1)}
         7:{1,3,5,6,7}:{(3,1),(4,1),(12,1),(13,1),(145,1)}
         8:{1,2,4,5,6,7}:{(4,1),(13,1),(14,1),(32,1),(35,1),(62,1),(70,1),(115,1)}
         9:{2,3,5,6,7}:{(5,1),(15,1),(16,1),(92,1)}
        10:{1,4,5,6,7}:{(5,1),(16,1),(77,1),(93,1)}
        11:{2,3,4,5,7}:{(6,1),(19,1),(20,1),(51,1),(87,1)}
        12:{1,3,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(48,1),(50,1),(159,1)}
        13:{2,5,6,7}:{(7,1),(21,1),(160,1)}
        14:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(48,1),(84,1),(91,1)}
        15:{2,3,4,6,7}:{(9,1),(25,1),(26,1),(58,1),(98,1),(114,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(26,1),(27,1),(116,1)}
        17:{1,2,4,5,6,7}:{(10,1),(27,1),(28,1),(55,1),(58,1),(62,1),(101,1),(144,1)}
        18:{1,2,3,5,6,7}:{(29,1),(34,1),(57,1),(61,1),(67,1),(98,1),(103,1),(108,1),(115,1),(144,1),(150,1),(172,1)}
        19:{2,3,4,5,6}:{(11,1),(30,1),(71,1),(109,1),(140,1),(143,1)}
        20:{1,3,4,5,7}:{(11,1),(12,1),(30,1),(31,1),(65,1),(70,1)}
        21:{2,4,6,7}:{(12,1),(13,1),(31,1),(33,1),(170,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(34,1),(115,1),(150,1)}
        23:{2,3,5,6,7}:{(13,1),(14,1),(33,1),(34,1),(35,1),(67,1),(69,1),(108,1),(115,1)}
        24:{1,3,4,6,7}:{(14,1),(35,1),(36,1),(105,1)}
        25:{2,3,4,5,7}:{(15,1),(37,1),(38,1),(78,1),(119,1)}
        26:{1,3,4,6,7}:{(15,1),(16,1),(38,1),(39,1),(75,1),(77,1),(136,1)}
        27:{2,5,6,7}:{(16,1),(39,1),(137,1)}
        28:{1,3,5,6,7}:{(17,1),(41,1),(42,1),(75,1),(84,1),(123,1)}
        29:{1,2,4,6,7}:{(18,1),(43,1),(44,1),(50,1),(77,1),(90,1),(122,1),(127,1),(129,1),(164,1)}
        30:{1,3,4,5,6}:{(19,1),(20,1),(45,1),(85,1),(93,1),(156,1),(159,1)}
        31:{2,4,5,7}:{(20,1),(21,1),(45,1),(47,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(46,1),(48,1),(50,1),(90,1),(164,1)}
        33:{2,3,6,7}:{(21,1),(47,1),(48,1),(174,1)}
        34:{1,3,5,6,7}:{(22,1),(23,1),(48,1),(50,1),(91,1),(131,1)}
        35:{2,4,6,7}:{(23,1),(24,1),(50,1),(51,1),(129,1)}
        36:{1,3,4,5,7}:{(24,1),(51,1),(52,1),(91,1)}
        37:{2,3,4,5,6}:{(25,1),(53,1),(102,1),(111,1),(114,1),(138,1)}
        38:{1,3,4,5,7}:{(25,1),(26,1),(53,1),(54,1),(96,1),(101,1)}
        39:{2,4,6,7}:{(26,1),(27,1),(54,1),(56,1),(154,1)}
        40:{1,2,5,6,7}:{(27,1),(55,1),(57,1),(144,1),(150,1)}
        41:{2,3,5,6,7}:{(27,1),(28,1),(56,1),(57,1),(58,1),(98,1),(100,1),(108,1),(144,1)}
        42:{1,3,4,6,7}:{(28,1),(58,1),(59,1),(105,1)}
        43:{1,3,4,6,7}:{(29,1),(60,1),(61,1),(105,1),(147,1),(172,1)}
        44:{1,2,4,5,7}:{(29,1),(61,1),(62,1),(70,1),(101,1),(104,1),(115,1),(144,1)}
        45:{2,4,5,6}:{(30,1),(31,1),(64,1),(168,1),(170,1)}
        46:{1,2,4,5,7}:{(31,1),(32,1),(63,1),(65,1),(70,1),(112,1),(115,1)}
        47:{2,3,5,7}:{(31,1),(33,1),(64,1),(65,1),(66,1)}
        48:{1,3,6,7}:{(32,1),(33,1),(65,1),(67,1),(172,1)}
        49:{2,3,4,6,7}:{(33,1),(35,1),(66,1),(68,1),(69,1),(114,1)}
        50:{1,4,6,7}:{(34,1),(35,1),(70,1),(149,1)}
        51:{2,4,5,7}:{(35,1),(36,1),(69,1),(70,1),(71,1),(115,1)}
        52:{1,3,4,5,6}:{(36,1),(71,1),(105,1),(116,1)}
        53:{1,3,4,5,6}:{(37,1),(38,1),(72,1),(117,1),(125,1),(133,1),(136,1)}
        54:{2,4,5,7}:{(38,1),(39,1),(72,1),(74,1)}
        55:{1,2,4,6,7}:{(39,1),(40,1),(73,1),(75,1),(77,1),(122,1),(164,1)}
        56:{2,3,6,7}:{(39,1),(74,1),(75,1),(166,1)}
        57:{1,3,5,6,7}:{(40,1),(41,1),(75,1),(77,1),(123,1),(131,1)}
        58:{2,4,6,7}:{(41,1),(42,1),(77,1),(78,1),(129,1)}
        59:{1,3,4,5,7}:{(42,1),(78,1),(79,1),(123,1)}
        60:{2,3,4,6,7}:{(43,1),(82,1),(83,1),(90,1),(122,1),(129,1),(134,1),(157,1),(166,1),(174,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(83,1),(84,1)}
        62:{1,2,4,5,6}:{(44,1),(84,1),(93,1),(125,1),(129,1),(137,1),(160,1),(164,1)}
        63:{1,2,4,5,6}:{(45,1),(46,1),(85,1),(93,1),(132,1),(137,1),(162,1),(164,1)}
        64:{2,3,5,6}:{(45,1),(47,1),(85,1),(86,1),(173,1),(174,1)}
        65:{1,3,5,7}:{(46,1),(47,1),(48,1),(85,1),(87,1),(88,1)}
        66:{2,3,4,7}:{(47,1),(86,1),(88,1)}
        67:{2,3,6,7}:{(48,1),(87,1),(90,1),(166,1)}
        68:{1,3,4,6,7}:{(48,1),(49,1),(50,1),(88,1),(90,1),(91,1),(136,1)}
        69:{2,3,5,7}:{(49,1),(51,1),(91,1),(92,1)}
        70:{1,4,5,7}:{(50,1),(51,1),(91,1),(93,1)}
        71:{2,4,5,6}:{(51,1),(52,1),(92,1),(93,1),(129,1),(137,1)}
        72:{2,4,5,6}:{(53,1),(54,1),(95,1),(152,1),(154,1)}
        73:{1,2,4,5,7}:{(54,1),(55,1),(94,1),(96,1),(101,1),(141,1),(144,1)}
        74:{2,3,5,7}:{(54,1),(56,1),(95,1),(96,1),(97,1)}
        75:{1,3,6,7}:{(55,1),(56,1),(96,1),(98,1),(172,1)}
        76:{2,3,4,6,7}:{(56,1),(58,1),(97,1),(99,1),(100,1),(143,1)}
        77:{1,4,6,7}:{(57,1),(58,1),(101,1),(149,1)}
        78:{2,4,5,7}:{(58,1),(59,1),(100,1),(101,1),(102,1),(144,1)}
        79:{1,3,4,5,6}:{(59,1),(102,1),(105,1),(145,1)}
        80:{1,3,4,5,7}:{(61,1),(104,1),(105,1)}
        81:{1,2,3,6,7}:{(67,1),(98,1),(103,1),(106,1),(172,1)}
        82:{1,3,4,6,7}:{(60,1),(106,1),(107,1),(147,1),(149,1),(172,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(104,1),(107,1),(108,1),(115,1),(144,1)}
        84:{1,3,5,6}:{(61,1),(62,1),(105,1),(108,1),(172,1)}
        85:{1,3,5,6}:{(63,1),(64,1),(65,1),(109,1),(110,1),(171,1),(172,1)}
        86:{2,3,4,6}:{(64,1),(66,1),(110,1),(111,1)}
        87:{2,3,5,7}:{(65,1),(67,1),(109,1),(112,1),(115,1)}
        88:{1,3,4,7}:{(65,1),(66,1),(110,1),(112,1)}
        89:{2,3,4,5,7}:{(66,1),(69,1),(104,1),(111,1),(113,1),(114,1),(169,1)}
        90:{2,4,6,7}:{(67,1),(68,1),(112,1),(115,1),(154,1)}
        91:{1,3,5,7}:{(68,1),(69,1),(70,1),(115,1),(116,1)}
        92:{2,3,5,6}:{(69,1),(71,1),(114,1),(116,1)}
        93:{1,4,5,6}:{(70,1),(71,1),(116,1),(149,1)}
        94:{1,2,4,5,6}:{(72,1),(73,1),(117,1),(125,1),(155,1),(160,1),(162,1),(164,1)}
        95:{2,3,5,6}:{(72,1),(74,1),(117,1),(118,1),(165,1),(166,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(75,1),(117,1),(119,1),(120,1)}
        97:{2,3,4,7}:{(74,1),(118,1),(120,1)}
        98:{2,3,6,7}:{(75,1),(119,1),(122,1),(174,1)}
        99:{1,3,4,6,7}:{(75,1),(76,1),(77,1),(120,1),(122,1),(123,1),(159,1)}
       100:{2,3,5,7}:{(76,1),(78,1),(123,1),(124,1)}
       101:{1,4,5,7}:{(77,1),(78,1),(123,1),(125,1)}
       102:{2,4,5,6}:{(78,1),(79,1),(124,1),(125,1),(129,1),(160,1)}
       103:{1,2,3,5,7}:{(81,1),(87,1),(119,1),(126,1),(127,1),(130,1),(163,1)}
       104:{2,4,5,7}:{(80,1),(83,1),(128,1),(129,1)}
       105:{1,3,4,6}:{(80,1),(84,1),(129,1)}
       106:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(122,1),(127,1),(130,1),(164,1)}
       107:{1,3,5,7}:{(82,1),(83,1),(128,1),(130,1),(131,1)}
       108:{2,3,5,6}:{(83,1),(84,1),(129,1),(131,1),(137,1),(160,1),(166,1),(174,1)}
       109:{2,3,5,6}:{(85,1),(87,1),(132,1),(137,1),(165,1),(166,1)}
       110:{1,3,4,6}:{(85,1),(86,1),(88,1),(132,1),(133,1)}
       111:{2,3,4,5}:{(86,1),(133,1),(173,1)}
       112:{2,4,7}:{(87,1),(88,1),(132,1)}
       113:{1,3,4,5,7}:{(88,1),(89,1),(91,1),(128,1),(133,1),(135,1),(136,1),(163,1)}
       114:{2,3,4,6}:{(89,1),(92,1),(129,1),(136,1),(174,1)}
       115:{2,5,7}:{(90,1),(91,1),(137,1)}
       116:{1,3,5,6}:{(91,1),(92,1),(93,1),(136,1),(137,1)}
       117:{1,3,5,6}:{(94,1),(95,1),(96,1),(138,1),(139,1),(171,1),(172,1)}
       118:{2,3,4,6}:{(95,1),(97,1),(139,1),(140,1)}
       119:{2,3,5,7}:{(96,1),(98,1),(138,1),(141,1),(144,1)}
       120:{1,3,4,7}:{(96,1),(97,1),(139,1),(141,1)}
       121:{2,3,4,5,7}:{(97,1),(100,1),(104,1),(140,1),(142,1),(143,1),(153,1)}
       122:{2,4,6,7}:{(98,1),(99,1),(141,1),(144,1),(170,1)}
       123:{1,3,5,7}:{(99,1),(100,1),(101,1),(144,1),(145,1)}
       124:{2,3,5,6}:{(100,1),(102,1),(143,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(145,1),(149,1)}
       126:{1,2,3,5,6}:{(103,1),(109,1),(138,1),(146,1),(150,1),(171,1),(172,1)}
       127:{1,2,4,7}:{(103,1),(112,1),(141,1),(146,1),(147,1)}
       128:{1,4,5,7}:{(104,1),(107,1),(149,1)}
       129:{2,4,6}:{(104,1),(105,1),(108,1),(149,1)}
       130:{1,2,5,7}:{(106,1),(107,1),(115,1),(144,1),(150,1)}
       131:{1,3,5,6}:{(107,1),(108,1),(149,1),(150,1),(172,1)}
       132:{2,4,6}:{(109,1),(110,1),(112,1),(152,1)}
       133:{1,3,4,5}:{(110,1),(111,1),(152,1),(171,1)}
       134:{2,3,4,7}:{(112,1),(147,1),(151,1),(153,1)}
       135:{2,4,5,7}:{(112,1),(113,1),(115,1),(152,1),(153,1),(154,1)}
       136:{1,3,4,6}:{(113,1),(114,1),(116,1),(149,1),(154,1),(172,1)}
       137:{2,5,6}:{(115,1),(116,1),(154,1)}
       138:{2,3,5,6}:{(117,1),(119,1),(155,1),(160,1),(173,1),(174,1)}
       139:{1,3,4,6}:{(117,1),(118,1),(120,1),(155,1),(156,1)}
       140:{2,3,4,5}:{(118,1),(156,1),(165,1)}
       141:{2,4,7}:{(119,1),(120,1),(155,1)}
       142:{1,3,4,5,7}:{(120,1),(121,1),(123,1),(128,1),(156,1),(158,1),(159,1),(163,1)}
       143:{2,3,4,6}:{(121,1),(124,1),(129,1),(159,1),(166,1)}
       144:{2,5,7}:{(122,1),(123,1),(160,1)}
       145:{1,3,5,6}:{(123,1),(124,1),(125,1),(159,1),(160,1)}
       146:{1,2,4,6}:{(126,1),(127,1),(132,1),(155,1),(161,1),(162,1)}
       147:{1,3,4,7}:{(127,1),(134,1),(157,1),(161,1),(163,1)}
       148:{1,2,4,5,7}:{(127,1),(128,1),(130,1),(135,1),(158,1),(162,1),(163,1),(164,1)}
       149:{1,4,6}:{(128,1),(129,1),(131,1)}
       150:{1,2,5,6}:{(130,1),(131,1),(137,1),(160,1),(164,1)}
       151:{2,3,4,6}:{(132,1),(134,1),(161,1),(165,1),(166,1)}
       152:{2,4,5}:{(132,1),(133,1),(165,1)}
       153:{2,3,5,7}:{(134,1),(135,1),(163,1),(165,1),(166,1)}
       154:{2,4,6}:{(135,1),(136,1),(137,1),(166,1)}
       155:{2,4,6}:{(138,1),(139,1),(141,1),(168,1)}
       156:{1,3,4,5}:{(139,1),(140,1),(168,1),(171,1)}
       157:{2,3,4,7}:{(141,1),(147,1),(167,1),(169,1)}
       158:{2,4,5,7}:{(141,1),(142,1),(144,1),(168,1),(169,1),(170,1)}
       159:{1,3,4,6}:{(142,1),(143,1),(145,1),(149,1),(170,1),(172,1)}
       160:{2,5,6}:{(144,1),(145,1),(170,1)}
       161:{1,3,4,6}:{(146,1),(147,1),(151,1),(167,1),(171,1),(172,1)}
       162:{1,2,4,5}:{(146,1),(152,1),(168,1),(171,1)}
       163:{1,3,5,7}:{(147,1),(148,1),(153,1),(169,1),(171,1),(172,1)}
       164:{1,2,4,6}:{(148,1),(149,1),(150,1),(154,1),(170,1),(172,1)}
       165:{2,3,5}:{(151,1),(152,1),(171,1)}
       166:{2,3,6}:{(153,1),(154,1),(172,1)}
       167:{2,3,4,6}:{(155,1),(157,1),(161,1),(173,1),(174,1)}
       168:{2,4,5}:{(155,1),(156,1),(173,1)}
       169:{2,3,5,7}:{(157,1),(158,1),(163,1),(173,1),(174,1)}
       170:{2,4,6}:{(158,1),(159,1),(160,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(165,1),(173,1)}
       172:{1,3,6}:{(163,1),(164,1),(166,1),(174,1)}
       173:{2,3,5}:{(167,1),(168,1),(171,1)}
       174:{2,3,6}:{(169,1),(170,1),(172,1)}

2933 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(61,1),(62,1),(89,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(77,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(89,1),(90,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(19,1),(42,1),(74,1),(75,1),(98,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(19,1),(99,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(55,1),(89,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(29,1),(92,1),(93,1),(103,1),(104,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(19,1),(21,1),(98,1),(99,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(22,1)}
        15:{1,3,4,5,7}:{(10,1),(22,1),(23,1),(43,1),(99,1),(100,1)}
        16:{1,3,4,5,6,7}:{(25,1),(39,1),(51,1)}
        17:{1,3,4,5,6}:{(12,1),(26,1),(27,1)}
        18:{1,2,4,5,6,7}:{(11,1),(28,1),(37,1),(55,1),(66,1),(85,1),(86,1),(101,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(13,1),(29,1)}
        20:{2,3,5,6}:{(12,1),(14,1),(27,1),(29,1),(30,1)}
        21:{2,3,4,6,7}:{(13,1),(14,1),(29,1),(31,1),(55,1),(91,1),(92,1),(102,1),(103,1)}
        22:{1,3,4,6}:{(14,1),(15,1),(30,1),(32,1)}
        23:{1,2,4,5,7}:{(15,1),(32,1),(33,1),(59,1),(89,1),(90,1)}
        24:{2,3,4,5,6}:{(27,1),(34,1),(35,1),(84,1)}
        25:{2,4,5,6,7}:{(16,1),(36,1),(37,1),(55,1),(66,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(39,1),(40,1)}
        27:{2,4,5,6}:{(17,1),(20,1),(40,1),(41,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(39,1),(42,1),(98,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(21,1),(40,1),(43,1)}
        30:{1,3,5,6}:{(20,1),(22,1),(41,1),(43,1),(44,1)}
        31:{1,3,4,6,7}:{(21,1),(22,1),(43,1),(45,1),(71,1),(98,1),(99,1)}
        32:{1,2,4,6}:{(22,1),(23,1),(44,1),(46,1)}
        33:{1,2,3,5,7}:{(23,1),(46,1),(47,1),(77,1)}
        34:{2,3,4,5,7}:{(24,1),(40,1),(48,1),(49,1),(96,1)}
        35:{1,3,4,5,6}:{(24,1),(41,1),(49,1),(50,1),(73,1)}
        36:{2,3,5,6,7}:{(25,1),(48,1),(51,1)}
        37:{1,4,5,6,7}:{(25,1),(51,1),(71,1)}
        38:{2,3,4,5,6}:{(27,1),(52,1),(53,1),(65,1)}
        39:{1,3,4,6,7}:{(26,1),(28,1),(55,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(29,1),(55,1),(56,1)}
        41:{1,4,5,6}:{(27,1),(30,1),(56,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(58,1),(66,1),(91,1),(101,1),(102,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(59,1)}
        44:{1,2,5,6}:{(30,1),(32,1),(59,1)}
        45:{1,2,4,6,7}:{(31,1),(32,1),(59,1),(61,1),(89,1)}
        46:{1,2,3,6}:{(32,1),(33,1)}
        47:{1,2,3,4,7}:{(33,1),(62,1),(89,1)}
        48:{2,3,4,6,7}:{(34,1),(36,1),(55,1),(63,1),(102,1)}
        49:{1,3,4,5,7}:{(34,1),(35,1),(56,1),(63,1),(64,1),(87,1)}
        50:{2,4,5,6}:{(35,1),(64,1),(65,1)}
        51:{1,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(40,1),(67,1),(68,1),(79,1)}
        53:{1,3,4,5,6}:{(38,1),(41,1),(68,1),(69,1),(73,1)}
        54:{1,3,4,5,6,7}:{(39,1),(70,1),(94,1)}
        55:{2,4,6,7}:{(39,1),(40,1),(42,1),(71,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(43,1),(71,1)}
        57:{1,2,4,5,6}:{(41,1),(44,1),(50,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6,7}:{(42,1),(43,1),(71,1),(74,1),(98,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(45,1)}
        60:{1,2,3,5,6}:{(44,1),(46,1),(73,1),(75,1),(76,1),(77,1)}
        61:{1,2,3,6,7}:{(45,1),(46,1),(75,1),(98,1)}
        62:{1,2,3,4,6}:{(46,1),(47,1),(76,1),(77,1)}
        63:{1,3,4,6,7}:{(48,1),(49,1),(51,1),(71,1),(78,1),(98,1)}
        64:{2,4,5,7}:{(49,1),(50,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(73,1),(79,1),(80,1)}
        66:{2,5,6,7}:{(51,1),(78,1)}
        67:{2,3,4,6,7}:{(52,1),(55,1),(81,1),(82,1),(91,1)}
        68:{1,3,4,5,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(87,1)}
        69:{2,4,5,6}:{(53,1),(83,1),(84,1)}
        70:{2,4,5,6,7}:{(54,1),(55,1),(81,1),(85,1),(101,1)}
        71:{1,4,6,7}:{(55,1),(56,1),(58,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(59,1),(64,1),(83,1),(86,1),(87,1),(89,1)}
        73:{1,3,5,6}:{(57,1),(65,1),(84,1),(87,1),(88,1)}
        74:{1,2,5,6,7}:{(58,1),(59,1),(66,1),(86,1),(101,1)}
        75:{1,2,3,5,7}:{(59,1),(60,1),(61,1),(87,1),(89,1)}
        76:{1,2,4,6}:{(60,1),(88,1),(89,1),(90,1)}
        77:{1,2,3,5}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(64,1),(66,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(87,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(88,1),(92,1),(93,1)}
        81:{2,3,5,6,7}:{(67,1),(70,1),(94,1)}
        82:{1,3,4,6,7}:{(67,1),(68,1),(71,1),(94,1),(95,1),(98,1)}
        83:{2,4,5,7}:{(68,1),(69,1),(95,1),(96,1)}
        84:{2,3,5,6}:{(69,1),(73,1),(96,1),(97,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(94,1)}
        86:{1,2,4,6,7}:{(71,1),(72,1),(74,1),(78,1),(95,1),(98,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(79,1),(96,1),(98,1),(99,1)}
        88:{1,3,4,6}:{(73,1),(76,1),(80,1),(97,1),(99,1),(100,1)}
        89:{1,2,4,7}:{(75,1),(76,1),(99,1)}
        90:{1,2,4,5}:{(76,1),(77,1),(100,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(98,1)}
        92:{2,3,4,7}:{(79,1),(80,1),(99,1)}
        93:{2,3,4,5}:{(80,1),(100,1)}
        94:{1,3,5,6,7}:{(81,1),(82,1),(85,1),(101,1)}
        95:{2,4,6,7}:{(82,1),(83,1),(101,1),(102,1)}
        96:{2,3,5,7}:{(83,1),(84,1),(87,1),(102,1),(103,1)}
        97:{2,3,4,6}:{(84,1),(88,1),(103,1),(104,1)}
        98:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        99:{1,3,4,7}:{(87,1),(88,1),(89,1),(92,1),(103,1)}
       100:{1,3,4,5}:{(88,1),(90,1),(93,1),(104,1)}
       101:{2,5,6,7}:{(94,1),(95,1)}
       102:{2,3,6,7}:{(95,1),(96,1),(98,1)}
       103:{2,3,4,7}:{(96,1),(97,1),(99,1)}
       104:{2,3,4,5}:{(97,1),(100,1)}

2934 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(49,1),(79,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(10,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(36,1),(38,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(36,1),(69,1),(74,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(91,1)}
        10:{1,3,4,5}:{(5,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(26,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(24,1),(26,1),(54,1),(55,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(27,1),(29,1),(59,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(28,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(28,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(54,1),(83,1),(86,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(81,1),(99,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(35,1),(37,1),(70,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(16,1),(34,1),(36,1),(37,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(14,1),(39,1),(71,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(36,1),(38,1),(40,1),(64,1),(69,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(37,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(42,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(44,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(44,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(71,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(80,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(49,1),(50,1)}
        35:{1,3,4,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,5,6}:{(22,1),(25,1),(28,1),(49,1),(54,1)}
        37:{1,3,4,7}:{(22,1),(26,1),(29,1),(50,1),(54,1)}
        38:{1,2,5,6}:{(23,1),(52,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(53,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(54,1),(55,1),(56,1),(78,1),(83,1)}
        41:{2,3,4,5,6}:{(28,1),(51,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(27,1),(52,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(27,1),(29,1),(53,1),(59,1),(60,1),(87,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(30,1),(54,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(60,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(99,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(64,1),(67,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(36,1),(41,1),(64,1),(68,1),(69,1),(90,1)}
        52:{1,3,5,6}:{(35,1),(38,1),(42,1),(65,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(35,1),(37,1),(39,1),(43,1),(66,1),(70,1),(71,1),(94,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(71,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(70,1)}
        56:{1,2,4,6,7}:{(40,1),(45,1),(71,1),(72,1),(89,1),(94,1)}
        57:{2,3,4,5,7}:{(41,1),(44,1),(68,1),(73,1),(75,1)}
        58:{2,4,5,6}:{(42,1),(69,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(70,1),(75,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(71,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(49,1),(51,1),(78,1)}
        65:{2,3,5,6}:{(48,1),(52,1),(79,1),(80,1)}
        66:{2,3,4,6,7}:{(48,1),(50,1),(53,1),(80,1),(81,1),(99,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(54,1),(78,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(54,1),(57,1),(78,1),(82,1),(83,1),(98,1)}
        69:{1,4,5,6}:{(52,1),(58,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(55,1),(59,1),(80,1),(83,1)}
        71:{1,3,6,7}:{(54,1),(56,1),(60,1),(81,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(84,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(85,1),(87,1)}
        74:{3,4,5,6}:{(58,1),(86,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(83,1),(86,1),(87,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(61,1),(84,1),(87,1),(88,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(87,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(67,1),(68,1),(89,1)}
        79:{2,4,5,6}:{(65,1),(69,1),(90,1),(91,1)}
        80:{2,3,5,7}:{(65,1),(66,1),(70,1),(91,1)}
        81:{2,3,6,7}:{(67,1),(71,1),(89,1)}
        82:{1,3,4,6,7}:{(68,1),(71,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,4,5,7}:{(69,1),(70,1),(75,1),(91,1),(94,1)}
        84:{1,3,5,6,7}:{(70,1),(71,1),(72,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{3,4,5,7}:{(74,1),(75,1),(96,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(94,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(81,1),(82,1),(97,1)}
        90:{3,4,5,6}:{(79,1),(98,1)}
        91:{2,4,5,7}:{(79,1),(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,5,6,7}:{(80,1),(81,1),(84,1),(97,1),(99,1),(104,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(87,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(87,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{3,4,5,7}:{(90,1),(91,1),(103,1)}
        99:{2,4,6,7}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(99,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2935 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2936 :   0:{2,3,4,5,6}:{(2,1),(3,1),(39,1),(70,1),(119,1),(165,1)}
         1:{3,4,5,6,7}:{(5,1),(135,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(57,1),(148,1)}
         3:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(92,1),(101,1),(142,1),(149,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(43,1),(66,1),(83,1),(180,1)}
         5:{2,4,5,6,7}:{(1,1),(12,1),(13,1),(124,1),(155,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(14,1),(76,1),(119,1),(124,1)}
         7:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(16,1),(40,1),(75,1),(125,1)}
         8:{2,4,5,6}:{(3,1),(16,1),(17,1),(117,1),(160,1)}
         9:{3,4,5,6,7}:{(18,1),(101,1),(168,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(89,1),(169,1)}
        11:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(48,1),(60,1),(108,1),(135,1),(170,1)}
        12:{2,3,5,6,7}:{(5,1),(6,1),(22,1),(138,1)}
        13:{1,4,5,6,7}:{(5,1),(22,1),(23,1),(99,1),(170,1)}
        14:{1,3,4,6,7}:{(6,1),(7,1),(22,1),(24,1),(54,1),(55,1),(99,1),(142,1)}
        15:{1,2,4,5,6}:{(8,1),(25,1),(26,1),(58,1),(97,1),(146,1),(149,1),(151,1)}
        16:{2,4,5,7}:{(7,1),(8,1),(24,1),(27,1)}
        17:{2,3,5,6}:{(8,1),(26,1),(27,1),(28,1),(140,1),(173,1)}
        18:{2,4,5,6,7}:{(9,1),(29,1),(30,1),(126,1),(153,1)}
        19:{2,3,4,6,7}:{(10,1),(29,1),(31,1),(83,1),(112,1),(153,1)}
        20:{1,3,4,5,7}:{(10,1),(11,1),(31,1),(33,1),(67,1),(111,1),(154,1)}
        21:{2,4,5,6}:{(11,1),(33,1),(34,1),(81,1),(131,1)}
        22:{1,3,5,6,7}:{(12,1),(13,1),(14,1),(35,1),(36,1),(158,1)}
        23:{2,4,5,6,7}:{(13,1),(35,1),(36,1),(74,1),(180,1)}
        24:{2,4,6,7}:{(14,1),(16,1),(35,1),(38,1),(160,1)}
        25:{1,2,4,5,7}:{(15,1),(16,1),(37,1),(40,1),(80,1),(125,1),(128,1)}
        26:{1,3,5,6}:{(15,1),(17,1),(39,1),(40,1),(41,1),(122,1),(163,1)}
        27:{2,3,5,7}:{(16,1),(17,1),(38,1),(40,1),(42,1)}
        28:{2,3,4,6}:{(17,1),(41,1),(42,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(44,1),(104,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(45,1),(133,1),(149,1)}
        31:{1,3,4,6,7}:{(19,1),(20,1),(44,1),(46,1),(86,1),(87,1),(108,1),(133,1)}
        32:{1,2,4,5,6}:{(21,1),(47,1),(48,1),(90,1),(97,1),(146,1),(170,1),(172,1)}
        33:{2,4,5,7}:{(20,1),(21,1),(46,1),(49,1)}
        34:{2,3,5,6}:{(21,1),(48,1),(49,1),(50,1),(106,1),(152,1)}
        35:{2,5,6,7}:{(22,1),(24,1),(172,1)}
        36:{3,5,6,7}:{(23,1),(54,1),(186,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(55,1),(99,1),(102,1),(146,1)}
        38:{2,3,6,7}:{(24,1),(27,1),(55,1),(173,1)}
        39:{2,3,5,6}:{(26,1),(57,1),(58,1),(106,1),(151,1),(152,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(27,1),(55,1),(57,1),(59,1)}
        41:{1,3,4,6}:{(26,1),(28,1),(58,1),(59,1),(60,1)}
        42:{2,3,4,7}:{(27,1),(28,1),(59,1)}
        43:{2,3,4,5}:{(28,1),(60,1),(140,1)}
        44:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(62,1),(63,1),(129,1)}
        45:{2,4,5,6,7}:{(30,1),(62,1),(63,1),(110,1),(165,1)}
        46:{2,4,6,7}:{(31,1),(33,1),(62,1),(65,1),(131,1)}
        47:{1,2,4,5,7}:{(32,1),(33,1),(64,1),(67,1),(116,1),(154,1),(157,1)}
        48:{1,3,5,6}:{(32,1),(34,1),(66,1),(67,1),(68,1),(122,1),(163,1)}
        49:{2,3,5,7}:{(33,1),(34,1),(65,1),(67,1),(69,1)}
        50:{2,3,4,6}:{(34,1),(68,1),(69,1),(70,1)}
        51:{1,2,3,5,6}:{(39,1),(66,1),(71,1),(72,1),(122,1),(162,1),(163,1)}
        52:{1,2,5,6,7}:{(35,1),(37,1),(73,1),(128,1),(162,1)}
        53:{2,3,5,6,7}:{(35,1),(36,1),(38,1),(73,1),(74,1),(78,1),(182,1)}
        54:{3,4,6,7}:{(36,1),(74,1),(75,1),(188,1)}
        55:{1,3,6,7}:{(37,1),(38,1),(40,1),(76,1),(163,1)}
        56:{2,3,4,6,7}:{(38,1),(42,1),(74,1),(77,1),(78,1),(83,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(76,1),(80,1),(128,1)}
        58:{2,4,6}:{(39,1),(41,1),(80,1),(81,1)}
        59:{1,3,4,7}:{(40,1),(41,1),(42,1),(80,1)}
        60:{1,3,4,5}:{(41,1),(43,1),(81,1),(122,1)}
        61:{2,3,4,5,7}:{(42,1),(43,1),(78,1),(82,1),(83,1),(159,1),(181,1)}
        62:{2,5,6,7}:{(44,1),(46,1),(151,1)}
        63:{3,5,6,7}:{(45,1),(86,1),(177,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(84,1),(87,1),(133,1),(136,1),(146,1)}
        65:{2,3,6,7}:{(46,1),(49,1),(87,1),(152,1)}
        66:{2,3,5,6}:{(48,1),(89,1),(90,1),(140,1),(172,1),(173,1)}
        67:{1,3,5,7}:{(47,1),(48,1),(49,1),(87,1),(89,1),(91,1)}
        68:{1,3,4,6}:{(48,1),(50,1),(90,1),(91,1),(92,1)}
        69:{2,3,4,7}:{(49,1),(50,1),(91,1)}
        70:{2,3,4,5}:{(50,1),(92,1),(106,1)}
        71:{1,2,3,5,7}:{(51,1),(57,1),(89,1),(94,1),(96,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(51,1),(58,1),(90,1),(95,1),(96,1),(97,1)}
        73:{1,3,5,6,7}:{(52,1),(53,1),(55,1),(98,1),(99,1),(103,1),(175,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(99,1),(100,1),(187,1)}
        75:{3,4,5,7}:{(54,1),(100,1),(101,1)}
        76:{2,3,6,7}:{(55,1),(57,1),(102,1),(152,1)}
        77:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(99,1),(102,1),(103,1),(108,1),(147,1)}
        78:{2,3,5,7}:{(56,1),(100,1),(103,1),(104,1)}
        79:{2,3,4,6}:{(58,1),(95,1),(105,1),(106,1),(152,1)}
        80:{2,4,7}:{(57,1),(58,1),(59,1)}
        81:{2,4,5}:{(58,1),(60,1),(106,1)}
        82:{1,3,4,5,7}:{(59,1),(60,1),(61,1),(103,1),(107,1),(108,1),(145,1),(174,1),(176,1)}
        83:{2,3,4,6}:{(61,1),(104,1),(108,1),(173,1),(187,1)}
        84:{1,2,5,6,7}:{(62,1),(64,1),(109,1),(157,1),(162,1)}
        85:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(109,1),(110,1),(114,1),(167,1)}
        86:{3,4,6,7}:{(63,1),(110,1),(111,1),(184,1)}
        87:{1,3,6,7}:{(64,1),(65,1),(67,1),(112,1),(163,1)}
        88:{2,3,4,6,7}:{(65,1),(69,1),(110,1),(113,1),(114,1),(119,1)}
        89:{2,3,5,7}:{(66,1),(67,1),(112,1),(116,1),(157,1)}
        90:{2,4,6}:{(66,1),(68,1),(116,1),(117,1)}
        91:{1,3,4,7}:{(67,1),(68,1),(69,1),(116,1)}
        92:{1,3,4,5}:{(68,1),(70,1),(117,1),(122,1)}
        93:{2,3,4,5,7}:{(69,1),(70,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        94:{1,2,3,6,7}:{(71,1),(76,1),(112,1),(120,1),(163,1)}
        95:{1,3,4,6}:{(72,1),(79,1),(115,1),(121,1),(122,1),(163,1)}
        96:{1,2,4,7}:{(71,1),(72,1),(80,1),(116,1),(121,1)}
        97:{1,2,4,5}:{(72,1),(81,1),(117,1),(122,1)}
        98:{2,3,5,6,7}:{(73,1),(76,1),(124,1),(128,1),(164,1),(167,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(124,1),(125,1),(183,1)}
       100:{2,4,5,7}:{(74,1),(75,1),(78,1),(125,1),(126,1)}
       101:{3,4,5,6}:{(75,1),(126,1),(188,1)}
       102:{2,4,6,7}:{(76,1),(77,1),(80,1),(128,1),(131,1)}
       103:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1),(164,1)}
       104:{2,3,5,6}:{(78,1),(83,1),(126,1),(129,1)}
       105:{2,3,4,7}:{(79,1),(80,1),(121,1),(130,1)}
       106:{2,3,5}:{(79,1),(81,1),(122,1)}
       107:{2,4,5,7}:{(80,1),(81,1),(82,1),(128,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(82,1),(83,1),(129,1),(131,1),(163,1),(183,1),(184,1)}
       109:{1,3,5,6,7}:{(84,1),(85,1),(87,1),(132,1),(133,1),(137,1),(175,1)}
       110:{2,4,6,7}:{(85,1),(86,1),(133,1),(134,1),(178,1)}
       111:{3,4,5,7}:{(86,1),(134,1),(135,1)}
       112:{2,3,6,7}:{(87,1),(89,1),(136,1),(173,1)}
       113:{1,3,4,6,7}:{(87,1),(88,1),(91,1),(133,1),(136,1),(137,1),(142,1),(168,1)}
       114:{2,3,5,7}:{(88,1),(134,1),(137,1),(138,1)}
       115:{2,3,4,6}:{(90,1),(95,1),(139,1),(140,1),(173,1)}
       116:{2,4,7}:{(89,1),(90,1),(91,1)}
       117:{2,4,5}:{(90,1),(92,1),(140,1)}
       118:{1,3,4,5,7}:{(91,1),(92,1),(93,1),(137,1),(141,1),(142,1),(145,1),(174,1),(185,1)}
       119:{2,3,4,6}:{(93,1),(138,1),(142,1),(152,1),(178,1)}
       120:{1,2,4,6,7}:{(94,1),(96,1),(102,1),(136,1),(143,1),(144,1),(146,1)}
       121:{1,3,4,7}:{(95,1),(96,1),(105,1),(139,1),(145,1)}
       122:{1,3,5}:{(95,1),(97,1),(106,1),(140,1)}
       123:{1,2,4,5,7}:{(96,1),(97,1),(107,1),(141,1),(144,1),(145,1),(146,1),(174,1)}
       124:{2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(178,1)}
       125:{1,4,5,7}:{(99,1),(100,1),(103,1),(148,1),(149,1)}
       126:{2,4,5,6}:{(100,1),(101,1),(104,1),(149,1),(187,1)}
       127:{2,3,4,6,7}:{(102,1),(105,1),(143,1),(147,1),(150,1),(152,1),(178,1)}
       128:{2,5,7}:{(102,1),(103,1),(151,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(149,1),(151,1),(177,1)}
       130:{2,3,5,7}:{(105,1),(106,1),(107,1),(145,1),(152,1)}
       131:{2,4,6}:{(107,1),(108,1),(151,1),(152,1)}
       132:{2,3,5,6,7}:{(109,1),(112,1),(153,1),(157,1),(179,1),(182,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(153,1),(154,1),(183,1)}
       134:{2,4,5,7}:{(110,1),(111,1),(114,1),(154,1),(155,1)}
       135:{3,4,5,6}:{(111,1),(155,1),(184,1)}
       136:{2,4,6,7}:{(112,1),(113,1),(116,1),(157,1),(160,1)}
       137:{1,3,5,7}:{(113,1),(114,1),(154,1),(157,1),(158,1),(179,1)}
       138:{2,3,5,6}:{(114,1),(119,1),(155,1),(158,1)}
       139:{2,3,4,7}:{(115,1),(116,1),(121,1),(159,1)}
       140:{2,3,5}:{(115,1),(117,1),(122,1)}
       141:{2,4,5,7}:{(116,1),(117,1),(118,1),(157,1),(159,1),(160,1)}
       142:{1,3,4,6}:{(118,1),(119,1),(158,1),(160,1),(163,1),(183,1),(188,1)}
       143:{1,3,4,6,7}:{(120,1),(121,1),(127,1),(156,1),(161,1),(163,1),(183,1)}
       144:{1,2,5,7}:{(120,1),(128,1),(157,1),(161,1),(162,1)}
       145:{1,3,5,7}:{(121,1),(122,1),(123,1),(130,1),(159,1),(163,1)}
       146:{1,2,4,6}:{(123,1),(131,1),(160,1),(162,1),(163,1),(183,1)}
       147:{3,4,6,7}:{(124,1),(164,1),(184,1)}
       148:{2,4,5,7}:{(124,1),(125,1),(128,1),(164,1),(165,1)}
       149:{1,4,5,6}:{(125,1),(126,1),(129,1),(165,1),(183,1)}
       150:{2,3,5,7}:{(127,1),(128,1),(161,1),(164,1),(166,1),(167,1)}
       151:{2,5,6}:{(128,1),(129,1),(131,1)}
       152:{2,3,6}:{(130,1),(131,1),(163,1)}
       153:{2,4,6,7}:{(132,1),(133,1),(168,1),(169,1),(187,1)}
       154:{1,4,5,7}:{(133,1),(134,1),(137,1),(169,1),(170,1)}
       155:{2,4,5,6}:{(134,1),(135,1),(138,1),(170,1),(178,1)}
       156:{2,3,4,6,7}:{(136,1),(139,1),(143,1),(168,1),(171,1),(173,1),(187,1)}
       157:{2,5,7}:{(136,1),(137,1),(172,1)}
       158:{1,3,5,6}:{(137,1),(138,1),(142,1),(170,1),(172,1),(186,1)}
       159:{2,3,5,7}:{(139,1),(140,1),(141,1),(145,1),(173,1)}
       160:{2,4,6}:{(141,1),(142,1),(172,1),(173,1)}
       161:{1,3,5,7}:{(143,1),(144,1),(150,1),(171,1),(174,1),(175,1)}
       162:{1,2,5,6}:{(144,1),(146,1),(151,1),(172,1),(175,1)}
       163:{1,3,6}:{(145,1),(146,1),(152,1),(173,1)}
       164:{3,5,7}:{(147,1),(148,1),(177,1)}
       165:{2,4,5,6}:{(148,1),(149,1),(151,1),(177,1),(178,1)}
       166:{2,4,5,7}:{(150,1),(174,1),(176,1),(178,1)}
       167:{2,3,5,6}:{(150,1),(151,1),(152,1),(175,1),(177,1),(178,1)}
       168:{3,4,6,7}:{(153,1),(179,1),(188,1)}
       169:{2,4,5,7}:{(153,1),(154,1),(157,1),(179,1),(180,1)}
       170:{1,4,5,6}:{(154,1),(155,1),(158,1),(180,1),(183,1)}
       171:{2,3,5,7}:{(156,1),(157,1),(161,1),(179,1),(181,1),(182,1)}
       172:{2,5,6}:{(157,1),(158,1),(160,1)}
       173:{2,3,6}:{(159,1),(160,1),(163,1)}
       174:{1,4,5,7}:{(161,1),(166,1),(181,1),(183,1)}
       175:{1,3,5,6}:{(161,1),(162,1),(163,1),(167,1),(182,1),(183,1)}
       176:{3,4,5,7}:{(164,1),(166,1),(184,1)}
       177:{3,5,6}:{(164,1),(165,1),(184,1)}
       178:{2,4,6}:{(166,1),(167,1),(183,1),(184,1)}
       179:{3,5,7}:{(168,1),(169,1),(186,1)}
       180:{2,4,5,6}:{(169,1),(170,1),(172,1),(186,1),(187,1)}
       181:{2,4,5,7}:{(171,1),(174,1),(185,1),(187,1)}
       182:{2,3,5,6}:{(171,1),(172,1),(173,1),(175,1),(186,1),(187,1)}
       183:{1,4,6}:{(174,1),(175,1),(178,1),(187,1)}
       184:{3,4,6}:{(176,1),(177,1),(178,1)}
       185:{3,4,5,7}:{(179,1),(181,1),(188,1)}
       186:{3,5,6}:{(179,1),(180,1),(188,1)}
       187:{2,4,6}:{(181,1),(182,1),(183,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2937 :  0:{1,2,3,4,7}:{(1,1),(2,1),(25,1),(29,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(37,1),(68,1)}
        3:{1,2,3,5}:{(1,1),(8,1)}
        4:{1,2,4,5,7}:{(2,1),(7,1),(8,1),(10,1),(29,1),(30,1),(52,1),(82,1)}
        5:{1,2,3,6}:{(2,1),(10,1)}
        6:{2,3,4,5,7}:{(7,1),(12,1),(26,1),(32,1),(56,1)}
        7:{1,3,4,5,7}:{(4,1),(6,1),(13,1),(14,1),(15,1),(36,1),(38,1),(41,1),(70,1)}
        8:{1,2,4,5}:{(3,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(3,1),(5,1),(16,1),(17,1),(18,1),(40,1)}
       10:{1,2,4,6}:{(4,1),(5,1),(14,1),(18,1)}
       11:{1,2,3,6,7}:{(5,1),(17,1),(19,1),(68,1),(72,1)}
       12:{2,3,4,6}:{(6,1),(14,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(22,1),(26,1),(48,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(10,1),(12,1),(22,1),(23,1)}
       15:{1,3,4,5}:{(8,1),(26,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1)}
       17:{1,2,3,5,7}:{(9,1),(11,1),(29,1),(30,1),(57,1)}
       18:{1,2,5,6}:{(10,1),(23,1),(30,1)}
       19:{1,2,4,6,7}:{(10,1),(11,1),(24,1),(29,1),(30,1),(82,1),(96,1)}
       20:{2,3,5,6}:{(12,1),(23,1),(31,1),(32,1)}
       21:{2,3,4,6,7}:{(12,1),(24,1),(32,1),(56,1),(60,1),(84,1)}
       22:{2,3,4,6}:{(13,1),(14,1),(33,1)}
       23:{1,3,5,6}:{(14,1),(18,1),(20,1),(33,1),(35,1),(36,1)}
       24:{1,3,4,6,7}:{(14,1),(19,1),(21,1),(34,1),(36,1),(41,1),(66,1),(70,1),(72,1),(92,1)}
       25:{1,2,3,4}:{(37,1)}
       26:{2,3,4,5}:{(15,1),(38,1),(39,1)}
       27:{1,3,4,6}:{(15,1),(16,1),(39,1),(40,1),(41,1)}
       28:{1,2,4,5,6}:{(16,1),(18,1),(35,1),(40,1),(42,1),(64,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(41,1)}
       30:{1,2,5,7}:{(18,1),(19,1),(36,1)}
       31:{2,4,5,6}:{(20,1),(35,1),(44,1),(45,1)}
       32:{2,3,5,7}:{(20,1),(21,1),(36,1),(45,1)}
       33:{2,3,5,6}:{(22,1),(23,1),(47,1),(48,1)}
       34:{2,3,4,6,7}:{(22,1),(24,1),(48,1),(56,1),(76,1),(84,1)}
       35:{1,4,5,6}:{(23,1),(31,1),(47,1),(50,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(30,1),(32,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(52,1),(53,1)}
       38:{1,3,4,5}:{(26,1),(52,1),(54,1)}
       39:{2,3,4,6}:{(26,1),(27,1),(54,1),(55,1),(56,1)}
       40:{1,3,5,6}:{(27,1),(28,1),(55,1),(57,1)}
       41:{1,3,4,7}:{(27,1),(29,1),(56,1),(57,1)}
       42:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(50,1),(57,1),(58,1),(79,1)}
       43:{1,2,5,6,7}:{(30,1),(51,1),(58,1),(94,1),(96,1)}
       44:{3,4,5,6}:{(31,1),(59,1)}
       45:{2,4,5,7}:{(31,1),(32,1),(50,1),(59,1),(60,1)}
       46:{2,3,5,6,7}:{(32,1),(51,1),(60,1),(84,1),(85,1),(94,1)}
       47:{2,4,5,6}:{(33,1),(35,1),(61,1),(62,1)}
       48:{2,3,5,7}:{(33,1),(34,1),(36,1),(62,1)}
       49:{1,3,4,5,6}:{(35,1),(40,1),(44,1),(61,1),(64,1),(65,1)}
       50:{1,4,5,7}:{(35,1),(36,1),(45,1),(62,1),(66,1)}
       51:{1,3,5,6,7}:{(36,1),(43,1),(46,1),(63,1),(66,1),(72,1),(92,1),(97,1)}
       52:{1,2,4,5}:{(37,1),(38,1),(67,1)}
       53:{1,2,3,6}:{(37,1),(67,1),(68,1)}
       54:{1,3,4,6}:{(38,1),(39,1),(67,1),(69,1),(70,1)}
       55:{2,3,5,6}:{(39,1),(40,1),(64,1),(69,1),(71,1)}
       56:{2,3,4,7}:{(39,1),(41,1),(70,1),(71,1)}
       57:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1)}
       58:{1,2,4,6,7}:{(42,1),(43,1),(66,1),(72,1),(90,1)}
       59:{3,4,5,7}:{(44,1),(45,1),(74,1)}
       60:{2,4,6,7}:{(45,1),(46,1),(66,1),(74,1)}
       61:{3,4,5,6}:{(47,1),(75,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(50,1),(75,1),(76,1)}
       63:{2,3,5,6,7}:{(48,1),(51,1),(76,1),(84,1),(93,1),(94,1)}
       64:{2,4,5,6}:{(49,1),(55,1),(78,1),(79,1)}
       65:{1,3,4,5,7}:{(49,1),(50,1),(57,1),(59,1),(75,1),(79,1),(80,1)}
       66:{1,4,6,7}:{(50,1),(51,1),(60,1),(76,1)}
       67:{1,2,4,6}:{(52,1),(53,1),(54,1),(81,1),(82,1)}
       68:{1,2,3,7}:{(53,1),(82,1)}
       69:{1,3,5,6}:{(54,1),(55,1),(78,1),(81,1),(83,1)}
       70:{1,3,4,7}:{(54,1),(56,1),(82,1),(83,1)}
       71:{2,3,5,7}:{(55,1),(56,1),(57,1),(79,1),(83,1),(84,1)}
       72:{1,3,6,7}:{(57,1),(58,1),(84,1)}
       73:{2,4,5,6,7}:{(60,1),(77,1),(85,1),(94,1)}
       74:{3,4,6,7}:{(59,1),(60,1),(85,1)}
       75:{3,4,5,7}:{(61,1),(62,1),(87,1)}
       76:{2,4,6,7}:{(62,1),(63,1),(66,1),(87,1)}
       77:{1,4,5,6,7}:{(66,1),(73,1),(86,1),(88,1),(97,1)}
       78:{1,4,5,6}:{(64,1),(69,1),(89,1)}
       79:{2,4,5,7}:{(64,1),(65,1),(71,1),(89,1),(90,1)}
       80:{1,3,4,6,7}:{(65,1),(66,1),(72,1),(74,1),(87,1),(88,1),(90,1)}
       81:{1,2,5,6}:{(67,1),(69,1),(91,1)}
       82:{1,2,4,7}:{(67,1),(68,1),(70,1),(91,1)}
       83:{1,3,5,7}:{(69,1),(70,1),(71,1),(89,1),(91,1),(92,1)}
       84:{2,3,6,7}:{(71,1),(72,1),(90,1),(92,1)}
       85:{3,5,6,7}:{(73,1),(74,1)}
       86:{2,4,5,6,7}:{(76,1),(77,1),(93,1),(94,1)}
       87:{3,4,6,7}:{(75,1),(76,1),(93,1)}
       88:{1,3,5,6,7}:{(77,1),(80,1),(85,1),(93,1),(94,1)}
       89:{1,4,5,7}:{(78,1),(79,1),(83,1),(95,1)}
       90:{2,4,6,7}:{(79,1),(80,1),(84,1),(94,1),(95,1)}
       91:{1,2,5,7}:{(81,1),(82,1),(83,1),(96,1)}
       92:{1,3,6,7}:{(83,1),(84,1),(95,1),(96,1)}
       93:{3,5,6,7}:{(86,1),(87,1)}
       94:{2,5,6,7}:{(88,1),(90,1),(97,1)}
       95:{1,4,6,7}:{(89,1),(90,1),(92,1),(97,1)}
       96:{1,2,6,7}:{(91,1),(92,1)}
       97:{1,5,6,7}:{(94,1),(95,1)}

2938 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(16,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1),(18,1)}
       11:{1,2,5,6}:{(6,1),(17,1),(19,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{2,3,5,6}:{(8,1),(17,1),(20,1),(21,1)}
       14:{2,3,4,7}:{(8,1),(18,1),(21,1)}
       15:{3,4,5,6}:{(20,1),(22,1)}
       16:{2,3,4,6}:{(9,1),(10,1),(23,1),(24,1)}
       17:{1,3,5,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
       18:{1,3,4,7}:{(10,1),(12,1),(14,1),(24,1),(26,1)}
       19:{1,2,5,7}:{(11,1),(12,1),(26,1),(27,1)}
       20:{2,4,5,6}:{(13,1),(15,1),(25,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       22:{3,4,5,7}:{(15,1),(28,1),(30,1)}
       23:{2,3,5,6}:{(16,1),(17,1),(31,1),(32,1)}
       24:{2,3,4,7}:{(16,1),(18,1),(32,1)}
       25:{1,4,5,6}:{(17,1),(20,1),(31,1),(33,1)}
       26:{1,3,5,7}:{(17,1),(18,1),(19,1),(21,1),(32,1),(33,1),(34,1)}
       27:{1,2,6,7}:{(19,1),(34,1)}
       28:{2,4,5,7}:{(20,1),(21,1),(22,1),(33,1),(35,1)}
       29:{2,3,6,7}:{(21,1),(34,1),(35,1)}
       30:{3,4,6,7}:{(22,1),(35,1),(36,1)}
       31:{2,4,5,6}:{(23,1),(25,1),(37,1),(38,1)}
       32:{2,3,5,7}:{(23,1),(24,1),(26,1),(38,1),(39,1)}
       33:{1,4,5,7}:{(25,1),(26,1),(28,1),(38,1),(40,1)}
       34:{1,3,6,7}:{(26,1),(27,1),(29,1),(39,1),(40,1)}
       35:{2,4,6,7}:{(28,1),(29,1),(30,1),(40,1),(41,1)}
       36:{3,5,6,7}:{(30,1),(41,1),(42,1)}
       37:{3,4,5,6}:{(31,1),(43,1)}
       38:{2,4,5,7}:{(31,1),(32,1),(33,1),(43,1),(44,1)}
       39:{2,3,6,7}:{(32,1),(34,1),(44,1)}
       40:{1,4,6,7}:{(33,1),(34,1),(35,1),(44,1),(45,1)}
       41:{2,5,6,7}:{(35,1),(36,1),(45,1)}
       42:{4,5,6,7}:{(36,1)}
       43:{3,4,5,7}:{(37,1),(38,1),(46,1)}
       44:{2,4,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{1,5,6,7}:{(40,1),(41,1),(47,1)}
       46:{3,4,6,7}:{(43,1),(44,1),(48,1)}
       47:{2,5,6,7}:{(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2939 :   0:{3,4,5,6,7}:{(2,1),(112,1),(140,1)}
         1:{2,3,4,5,6}:{(3,1),(4,1),(42,1),(77,1),(125,1),(136,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(88,1),(159,1)}
         3:{2,3,4,5,7}:{(1,1),(8,1),(9,1),(60,1),(113,1)}
         4:{1,3,4,5,6}:{(1,1),(9,1),(10,1),(28,1),(68,1),(99,1),(114,1),(147,1)}
         5:{2,3,5,6,7}:{(2,1),(8,1),(11,1),(143,1)}
         6:{1,4,5,6,7}:{(2,1),(11,1),(12,1),(66,1),(173,1)}
         7:{2,3,4,5,6}:{(14,1),(15,1),(46,1),(73,1),(87,1),(181,1)}
         8:{2,3,4,6,7}:{(3,1),(5,1),(16,1),(80,1),(88,1),(125,1)}
         9:{1,3,4,5,7}:{(3,1),(4,1),(16,1),(18,1),(43,1),(49,1),(89,1)}
        10:{2,4,5,6}:{(4,1),(18,1),(19,1),(123,1),(164,1)}
        11:{1,3,5,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(162,1)}
        12:{2,4,5,6,7}:{(6,1),(20,1),(21,1),(48,1),(181,1)}
        13:{3,4,5,6,7}:{(22,1),(68,1),(171,1)}
        14:{2,3,4,5,7}:{(7,1),(23,1),(24,1),(96,1),(172,1)}
        15:{1,3,4,5,6}:{(7,1),(24,1),(25,1),(54,1),(63,1),(111,1),(140,1),(173,1)}
        16:{1,3,4,6,7}:{(8,1),(9,1),(11,1),(26,1),(33,1),(58,1),(66,1),(147,1)}
        17:{1,2,4,5,6}:{(10,1),(27,1),(28,1),(61,1),(104,1),(114,1),(151,1),(153,1)}
        18:{2,4,5,7}:{(9,1),(10,1),(26,1),(29,1)}
        19:{2,3,5,6}:{(10,1),(28,1),(29,1),(30,1),(145,1),(176,1)}
        20:{2,5,6,7}:{(11,1),(26,1),(175,1)}
        21:{3,5,6,7}:{(12,1),(33,1),(186,1)}
        22:{2,4,5,6,7}:{(13,1),(34,1),(35,1),(90,1),(157,1)}
        23:{2,3,4,6,7}:{(14,1),(34,1),(36,1),(87,1),(118,1),(157,1)}
        24:{1,3,4,5,7}:{(14,1),(15,1),(36,1),(38,1),(74,1),(117,1),(158,1)}
        25:{2,4,5,6}:{(15,1),(38,1),(39,1),(85,1),(134,1)}
        26:{2,4,6,7}:{(16,1),(18,1),(20,1),(41,1),(164,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(40,1),(43,1),(84,1),(89,1),(131,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(42,1),(43,1),(44,1),(128,1),(167,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(41,1),(43,1),(45,1)}
        30:{2,3,4,6}:{(19,1),(44,1),(45,1),(46,1)}
        31:{1,2,5,6,7}:{(20,1),(40,1),(47,1),(131,1),(166,1)}
        32:{2,3,5,6,7}:{(20,1),(21,1),(41,1),(47,1),(48,1),(82,1),(183,1)}
        33:{3,4,6,7}:{(21,1),(48,1),(49,1),(188,1)}
        34:{2,3,5,6,7}:{(22,1),(23,1),(50,1),(107,1)}
        35:{1,4,5,6,7}:{(22,1),(50,1),(51,1),(114,1),(138,1)}
        36:{1,3,4,6,7}:{(23,1),(24,1),(50,1),(52,1),(93,1),(94,1),(111,1),(138,1)}
        37:{1,2,4,5,6}:{(25,1),(53,1),(54,1),(97,1),(104,1),(151,1),(173,1),(175,1)}
        38:{2,4,5,7}:{(24,1),(25,1),(52,1),(55,1)}
        39:{2,3,5,6}:{(25,1),(54,1),(55,1),(56,1),(109,1),(154,1)}
        40:{1,2,4,6,7}:{(26,1),(27,1),(31,1),(58,1),(66,1),(105,1),(151,1)}
        41:{2,3,6,7}:{(26,1),(29,1),(58,1),(176,1)}
        42:{2,3,5,6}:{(28,1),(60,1),(61,1),(109,1),(153,1),(154,1)}
        43:{1,3,5,7}:{(27,1),(28,1),(29,1),(58,1),(60,1),(62,1)}
        44:{1,3,4,6}:{(28,1),(30,1),(61,1),(62,1),(63,1)}
        45:{2,3,4,7}:{(29,1),(30,1),(62,1)}
        46:{2,3,4,5}:{(30,1),(63,1),(145,1)}
        47:{1,3,5,6,7}:{(31,1),(32,1),(58,1),(65,1),(66,1),(106,1),(178,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(187,1)}
        49:{3,4,5,7}:{(33,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(36,1),(69,1),(70,1),(132,1)}
        51:{2,4,5,6,7}:{(35,1),(69,1),(70,1),(116,1),(136,1)}
        52:{2,4,6,7}:{(36,1),(38,1),(69,1),(72,1),(134,1)}
        53:{1,2,4,5,7}:{(37,1),(38,1),(71,1),(74,1),(122,1),(158,1),(161,1)}
        54:{1,3,5,6}:{(37,1),(39,1),(73,1),(74,1),(75,1),(128,1),(167,1)}
        55:{2,3,5,7}:{(38,1),(39,1),(72,1),(74,1),(76,1)}
        56:{2,3,4,6}:{(39,1),(75,1),(76,1),(77,1)}
        57:{1,2,3,5,6}:{(42,1),(73,1),(78,1),(79,1),(128,1),(166,1),(167,1)}
        58:{1,3,6,7}:{(40,1),(41,1),(43,1),(80,1),(167,1)}
        59:{2,3,4,6,7}:{(41,1),(45,1),(48,1),(81,1),(82,1),(87,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(80,1),(84,1),(131,1)}
        61:{2,4,6}:{(42,1),(44,1),(84,1),(85,1)}
        62:{1,3,4,7}:{(43,1),(44,1),(45,1),(84,1)}
        63:{1,3,4,5}:{(44,1),(46,1),(85,1),(128,1)}
        64:{2,3,4,5,7}:{(45,1),(46,1),(82,1),(86,1),(87,1),(163,1),(182,1)}
        65:{2,3,5,6,7}:{(47,1),(80,1),(88,1),(131,1),(135,1),(169,1)}
        66:{1,4,6,7}:{(47,1),(48,1),(88,1),(89,1),(184,1)}
        67:{2,4,5,7}:{(48,1),(49,1),(82,1),(89,1),(90,1)}
        68:{3,4,5,6}:{(49,1),(90,1),(188,1)}
        69:{2,5,6,7}:{(50,1),(52,1),(153,1)}
        70:{3,5,6,7}:{(51,1),(93,1),(156,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(91,1),(94,1),(138,1),(141,1),(151,1)}
        72:{2,3,6,7}:{(52,1),(55,1),(94,1),(154,1)}
        73:{2,3,5,6}:{(54,1),(96,1),(97,1),(145,1),(175,1),(176,1)}
        74:{1,3,5,7}:{(53,1),(54,1),(55,1),(94,1),(96,1),(98,1)}
        75:{1,3,4,6}:{(54,1),(56,1),(97,1),(98,1),(99,1)}
        76:{2,3,4,7}:{(55,1),(56,1),(98,1)}
        77:{2,3,4,5}:{(56,1),(99,1),(109,1)}
        78:{1,2,3,5,7}:{(57,1),(60,1),(96,1),(101,1),(103,1),(149,1),(150,1)}
        79:{1,2,4,6}:{(57,1),(61,1),(97,1),(102,1),(103,1),(104,1)}
        80:{2,3,6,7}:{(58,1),(60,1),(105,1),(154,1)}
        81:{1,3,4,6,7}:{(58,1),(59,1),(62,1),(66,1),(105,1),(106,1),(111,1),(112,1)}
        82:{2,3,5,7}:{(59,1),(67,1),(106,1),(107,1)}
        83:{2,3,4,6}:{(61,1),(102,1),(108,1),(109,1),(154,1)}
        84:{2,4,7}:{(60,1),(61,1),(62,1)}
        85:{2,4,5}:{(61,1),(63,1),(109,1)}
        86:{1,3,4,5,7}:{(62,1),(63,1),(64,1),(106,1),(110,1),(111,1),(150,1),(155,1),(177,1)}
        87:{2,3,4,6}:{(64,1),(107,1),(111,1),(176,1),(187,1)}
        88:{2,4,6,7}:{(65,1),(66,1),(112,1),(113,1),(179,1)}
        89:{1,4,5,7}:{(66,1),(67,1),(106,1),(113,1),(114,1)}
        90:{2,4,5,6}:{(67,1),(68,1),(107,1),(114,1),(187,1)}
        91:{1,2,5,6,7}:{(69,1),(71,1),(115,1),(161,1),(166,1)}
        92:{2,3,5,6,7}:{(69,1),(70,1),(72,1),(115,1),(116,1),(120,1),(169,1)}
        93:{3,4,6,7}:{(70,1),(116,1),(117,1),(170,1)}
        94:{1,3,6,7}:{(71,1),(72,1),(74,1),(118,1),(167,1)}
        95:{2,3,4,6,7}:{(72,1),(76,1),(116,1),(119,1),(120,1),(125,1)}
        96:{2,3,5,7}:{(73,1),(74,1),(118,1),(122,1),(161,1)}
        97:{2,4,6}:{(73,1),(75,1),(122,1),(123,1)}
        98:{1,3,4,7}:{(74,1),(75,1),(76,1),(122,1)}
        99:{1,3,4,5}:{(75,1),(77,1),(123,1),(128,1)}
       100:{2,3,4,5,7}:{(76,1),(77,1),(120,1),(124,1),(125,1),(133,1),(168,1)}
       101:{1,2,3,6,7}:{(78,1),(80,1),(118,1),(126,1),(167,1)}
       102:{1,3,4,6}:{(79,1),(83,1),(121,1),(127,1),(128,1),(167,1)}
       103:{1,2,4,7}:{(78,1),(79,1),(84,1),(122,1),(127,1)}
       104:{1,2,4,5}:{(79,1),(85,1),(123,1),(128,1)}
       105:{2,4,6,7}:{(80,1),(81,1),(84,1),(131,1),(134,1)}
       106:{1,3,5,7}:{(81,1),(82,1),(89,1),(131,1),(132,1),(135,1)}
       107:{2,3,5,6}:{(82,1),(87,1),(90,1),(132,1)}
       108:{2,3,4,7}:{(83,1),(84,1),(127,1),(133,1)}
       109:{2,3,5}:{(83,1),(85,1),(128,1)}
       110:{2,4,5,7}:{(84,1),(85,1),(86,1),(131,1),(133,1),(134,1)}
       111:{1,3,4,6}:{(86,1),(87,1),(132,1),(134,1),(167,1),(170,1),(184,1)}
       112:{3,4,6,7}:{(88,1),(135,1),(170,1)}
       113:{2,4,5,7}:{(88,1),(89,1),(131,1),(135,1),(136,1)}
       114:{1,4,5,6}:{(89,1),(90,1),(132,1),(136,1),(184,1)}
       115:{1,3,5,6,7}:{(91,1),(92,1),(94,1),(137,1),(138,1),(142,1),(178,1)}
       116:{2,4,6,7}:{(92,1),(93,1),(138,1),(139,1),(179,1)}
       117:{3,4,5,7}:{(93,1),(139,1),(140,1)}
       118:{2,3,6,7}:{(94,1),(96,1),(141,1),(176,1)}
       119:{1,3,4,6,7}:{(94,1),(95,1),(98,1),(138,1),(141,1),(142,1),(147,1),(171,1)}
       120:{2,3,5,7}:{(95,1),(139,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(97,1),(102,1),(144,1),(145,1),(176,1)}
       122:{2,4,7}:{(96,1),(97,1),(98,1)}
       123:{2,4,5}:{(97,1),(99,1),(145,1)}
       124:{1,3,4,5,7}:{(98,1),(99,1),(100,1),(142,1),(146,1),(147,1),(150,1),(177,1),(185,1)}
       125:{2,3,4,6}:{(100,1),(143,1),(147,1),(154,1),(179,1)}
       126:{1,2,4,6,7}:{(101,1),(103,1),(105,1),(141,1),(148,1),(149,1),(151,1)}
       127:{1,3,4,7}:{(102,1),(103,1),(108,1),(144,1),(150,1)}
       128:{1,3,5}:{(102,1),(104,1),(109,1),(145,1)}
       129:{1,2,4,5,7}:{(103,1),(104,1),(110,1),(146,1),(149,1),(150,1),(151,1),(177,1)}
       130:{2,3,4,6,7}:{(105,1),(108,1),(112,1),(148,1),(152,1),(154,1),(179,1)}
       131:{2,5,7}:{(105,1),(106,1),(153,1)}
       132:{1,3,5,6}:{(106,1),(107,1),(111,1),(114,1),(153,1),(156,1)}
       133:{2,3,5,7}:{(108,1),(109,1),(110,1),(150,1),(154,1)}
       134:{2,4,6}:{(110,1),(111,1),(153,1),(154,1)}
       135:{3,5,7}:{(112,1),(113,1),(156,1)}
       136:{2,4,5,6}:{(113,1),(114,1),(153,1),(156,1),(179,1)}
       137:{2,3,5,6,7}:{(115,1),(118,1),(157,1),(161,1),(180,1),(183,1)}
       138:{1,4,6,7}:{(115,1),(116,1),(157,1),(158,1),(184,1)}
       139:{2,4,5,7}:{(116,1),(117,1),(120,1),(158,1),(159,1)}
       140:{3,4,5,6}:{(117,1),(159,1),(170,1)}
       141:{2,4,6,7}:{(118,1),(119,1),(122,1),(161,1),(164,1)}
       142:{1,3,5,7}:{(119,1),(120,1),(158,1),(161,1),(162,1),(180,1)}
       143:{2,3,5,6}:{(120,1),(125,1),(159,1),(162,1)}
       144:{2,3,4,7}:{(121,1),(122,1),(127,1),(163,1)}
       145:{2,3,5}:{(121,1),(123,1),(128,1)}
       146:{2,4,5,7}:{(122,1),(123,1),(124,1),(161,1),(163,1),(164,1)}
       147:{1,3,4,6}:{(124,1),(125,1),(162,1),(164,1),(167,1),(184,1),(188,1)}
       148:{1,3,4,6,7}:{(126,1),(127,1),(130,1),(160,1),(165,1),(167,1),(184,1)}
       149:{1,2,5,7}:{(126,1),(131,1),(161,1),(165,1),(166,1)}
       150:{1,3,5,7}:{(127,1),(128,1),(129,1),(133,1),(163,1),(167,1)}
       151:{1,2,4,6}:{(129,1),(134,1),(164,1),(166,1),(167,1),(184,1)}
       152:{2,3,5,7}:{(130,1),(131,1),(135,1),(165,1),(168,1),(169,1)}
       153:{2,5,6}:{(131,1),(132,1),(134,1)}
       154:{2,3,6}:{(133,1),(134,1),(167,1)}
       155:{3,4,5,7}:{(135,1),(168,1),(170,1)}
       156:{3,5,6}:{(135,1),(136,1),(170,1)}
       157:{2,4,6,7}:{(137,1),(138,1),(171,1),(172,1),(187,1)}
       158:{1,4,5,7}:{(138,1),(139,1),(142,1),(172,1),(173,1)}
       159:{2,4,5,6}:{(139,1),(140,1),(143,1),(173,1),(179,1)}
       160:{2,3,4,6,7}:{(141,1),(144,1),(148,1),(171,1),(174,1),(176,1),(187,1)}
       161:{2,5,7}:{(141,1),(142,1),(175,1)}
       162:{1,3,5,6}:{(142,1),(143,1),(147,1),(173,1),(175,1),(186,1)}
       163:{2,3,5,7}:{(144,1),(145,1),(146,1),(150,1),(176,1)}
       164:{2,4,6}:{(146,1),(147,1),(175,1),(176,1)}
       165:{1,3,5,7}:{(148,1),(149,1),(152,1),(174,1),(177,1),(178,1)}
       166:{1,2,5,6}:{(149,1),(151,1),(153,1),(175,1),(178,1)}
       167:{1,3,6}:{(150,1),(151,1),(154,1),(176,1)}
       168:{2,4,5,7}:{(152,1),(155,1),(177,1),(179,1)}
       169:{2,3,5,6}:{(152,1),(153,1),(154,1),(156,1),(178,1),(179,1)}
       170:{3,4,6}:{(155,1),(156,1),(179,1)}
       171:{3,4,6,7}:{(157,1),(180,1),(188,1)}
       172:{2,4,5,7}:{(157,1),(158,1),(161,1),(180,1),(181,1)}
       173:{1,4,5,6}:{(158,1),(159,1),(162,1),(181,1),(184,1)}
       174:{2,3,5,7}:{(160,1),(161,1),(165,1),(180,1),(182,1),(183,1)}
       175:{2,5,6}:{(161,1),(162,1),(164,1)}
       176:{2,3,6}:{(163,1),(164,1),(167,1)}
       177:{1,4,5,7}:{(165,1),(168,1),(182,1),(184,1)}
       178:{1,3,5,6}:{(165,1),(166,1),(167,1),(169,1),(183,1),(184,1)}
       179:{2,4,6}:{(168,1),(169,1),(170,1),(184,1)}
       180:{3,5,7}:{(171,1),(172,1),(186,1)}
       181:{2,4,5,6}:{(172,1),(173,1),(175,1),(186,1),(187,1)}
       182:{2,4,5,7}:{(174,1),(177,1),(185,1),(187,1)}
       183:{2,3,5,6}:{(174,1),(175,1),(176,1),(178,1),(186,1),(187,1)}
       184:{1,4,6}:{(177,1),(178,1),(179,1),(187,1)}
       185:{3,4,5,7}:{(180,1),(182,1),(188,1)}
       186:{3,5,6}:{(180,1),(181,1),(188,1)}
       187:{2,4,6}:{(182,1),(183,1),(184,1),(188,1)}
       188:{3,4,6}:{(185,1),(186,1),(187,1)}

2940 :   0:{1,2,3,4,6,7}:{(2,1),(10,1),(11,1),(119,1),(137,1),(144,1)}
         1:{1,2,3,5,6,7}:{(4,1),(5,1),(16,1),(18,1),(74,1),(108,1),(129,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(146,1)}
         3:{1,2,4,5,6,7}:{(8,1),(9,1),(25,1),(27,1),(57,1),(92,1)}
         4:{1,2,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(27,1),(137,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(29,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(137,1),(145,1)}
         7:{1,3,4,5,6,7}:{(14,1),(15,1),(36,1),(39,1)}
         8:{1,3,5,6,7}:{(3,1),(15,1),(16,1),(18,1),(108,1)}
         9:{1,2,4,5,7}:{(4,1),(17,1),(18,1),(41,1)}
        10:{1,3,4,6,7}:{(4,1),(18,1),(19,1),(20,1),(108,1),(131,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1)}
        12:{1,3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(131,1),(143,1)}
        13:{1,2,4,5,6,7}:{(23,1),(25,1),(50,1),(53,1),(57,1),(60,1)}
        14:{2,4,5,6,7}:{(7,1),(24,1),(25,1),(27,1),(53,1),(57,1)}
        15:{1,3,4,6,7}:{(8,1),(26,1),(27,1)}
        16:{2,3,5,6,7}:{(8,1),(27,1),(28,1),(30,1),(57,1),(95,1)}
        17:{1,2,4,5,6}:{(9,1),(11,1),(29,1),(58,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(29,1),(30,1)}
        19:{2,3,4,6,7}:{(10,1),(27,1),(30,1),(31,1),(32,1),(95,1),(123,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(29,1),(32,1)}
        21:{2,3,4,5,7}:{(12,1),(30,1),(32,1),(33,1),(123,1),(139,1)}
        22:{1,2,3,5,6,7}:{(35,1),(37,1),(43,1),(66,1),(69,1),(80,1),(82,1)}
        23:{1,3,5,6,7}:{(13,1),(36,1),(37,1),(69,1),(80,1)}
        24:{2,3,5,6,7}:{(14,1),(38,1),(39,1)}
        25:{1,4,5,6,7}:{(14,1),(39,1),(42,1),(73,1)}
        26:{1,3,4,5,7}:{(15,1),(18,1),(40,1),(41,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(41,1),(42,1)}
        28:{1,3,5,6,7}:{(16,1),(42,1),(43,1),(45,1),(80,1)}
        29:{1,3,5,6}:{(17,1),(18,1),(20,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(19,1),(41,1),(44,1),(45,1)}
        31:{1,3,4,6,7}:{(19,1),(42,1),(45,1),(46,1),(47,1),(80,1),(112,1)}
        32:{2,3,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        33:{1,3,4,5,7}:{(21,1),(45,1),(47,1),(48,1),(112,1),(133,1)}
        34:{1,2,3,4,6,7}:{(49,1),(51,1),(63,1),(85,1),(99,1),(100,1)}
        35:{1,2,4,6,7}:{(22,1),(50,1),(51,1),(53,1),(85,1),(99,1)}
        36:{1,3,4,6,7}:{(23,1),(52,1),(53,1)}
        37:{2,3,5,6,7}:{(23,1),(53,1),(54,1),(57,1),(88,1),(95,1)}
        38:{2,3,4,6,7}:{(24,1),(27,1),(53,1),(55,1),(56,1),(95,1)}
        39:{1,3,5,6,7}:{(24,1),(25,1),(56,1),(57,1)}
        40:{1,3,4,5,6}:{(26,1),(29,1),(58,1)}
        41:{2,4,5,7}:{(26,1),(27,1),(30,1),(58,1),(59,1)}
        42:{1,4,6,7}:{(27,1),(28,1),(59,1)}
        43:{1,2,5,6,7}:{(28,1),(57,1),(60,1),(62,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(32,1),(58,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(59,1),(61,1),(62,1)}
        46:{1,2,4,6,7}:{(31,1),(62,1),(63,1),(64,1),(99,1)}
        47:{1,3,4,6}:{(32,1),(33,1),(61,1),(64,1)}
        48:{1,2,4,5,7}:{(33,1),(62,1),(64,1),(65,1),(99,1),(125,1)}
        49:{1,2,3,5,7}:{(34,1),(66,1),(67,1),(69,1),(114,1)}
        50:{1,2,4,5,7}:{(35,1),(68,1),(69,1),(72,1)}
        51:{1,3,4,6,7}:{(35,1),(69,1),(70,1),(80,1),(101,1),(112,1)}
        52:{1,3,4,5,7}:{(36,1),(69,1),(71,1),(72,1)}
        53:{2,4,6,7}:{(36,1),(37,1),(72,1),(73,1)}
        54:{1,3,5,6,7}:{(37,1),(73,1),(74,1),(104,1),(108,1)}
        55:{2,3,4,5,7}:{(38,1),(41,1),(72,1),(75,1),(76,1),(110,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(76,1),(77,1),(80,1),(108,1)}
        57:{2,5,6,7}:{(39,1),(77,1)}
        58:{2,4,5,6}:{(40,1),(41,1),(44,1),(78,1)}
        59:{1,4,5,7}:{(41,1),(42,1),(45,1),(78,1)}
        60:{1,2,4,6,7}:{(42,1),(43,1),(77,1),(79,1),(80,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(78,1),(81,1)}
        62:{1,2,5,7}:{(45,1),(46,1),(81,1)}
        63:{1,2,3,6,7}:{(46,1),(80,1),(82,1),(83,1)}
        64:{1,2,4,6}:{(47,1),(48,1),(81,1),(83,1)}
        65:{1,2,3,5,7}:{(48,1),(83,1),(84,1),(114,1)}
        66:{1,2,3,5,6}:{(49,1),(85,1),(87,1)}
        67:{1,2,4,5,7}:{(49,1),(85,1),(86,1),(99,1),(125,1)}
        68:{1,2,4,5,6}:{(50,1),(85,1),(87,1),(90,1)}
        69:{1,3,5,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{2,3,4,6,7}:{(51,1),(53,1),(88,1),(89,1),(95,1),(115,1),(123,1)}
        71:{1,3,4,5,6}:{(52,1),(87,1),(90,1)}
        72:{2,4,5,7}:{(52,1),(53,1),(88,1),(90,1),(91,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(91,1)}
        74:{1,2,5,6,7}:{(54,1),(57,1),(92,1),(118,1)}
        75:{2,3,4,5,6}:{(55,1),(58,1),(90,1),(93,1),(122,1)}
        76:{1,3,4,5,7}:{(55,1),(56,1),(59,1),(91,1),(93,1),(94,1),(97,1),(121,1)}
        77:{2,4,6,7}:{(56,1),(57,1),(94,1),(95,1)}
        78:{1,4,5,6}:{(58,1),(59,1),(61,1)}
        79:{1,2,4,5,7}:{(59,1),(60,1),(62,1),(94,1),(96,1),(97,1),(99,1)}
        80:{1,3,6,7}:{(60,1),(95,1),(97,1)}
        81:{1,2,5,6}:{(61,1),(62,1),(64,1)}
        82:{1,2,3,5,7}:{(62,1),(63,1),(97,1),(98,1),(99,1)}
        83:{1,2,3,6}:{(64,1),(65,1)}
        84:{1,2,3,4,7}:{(65,1),(99,1),(100,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(101,1)}
        86:{1,3,4,5,7}:{(67,1),(69,1),(101,1),(102,1),(112,1),(133,1)}
        87:{1,3,5,6}:{(68,1),(69,1),(101,1),(103,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(72,1),(103,1),(104,1)}
        89:{1,3,4,6,7}:{(70,1),(73,1),(104,1),(105,1),(108,1),(126,1),(131,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(104,1),(106,1)}
        92:{1,2,4,6,7}:{(73,1),(74,1),(77,1),(107,1),(108,1)}
        93:{1,3,4,5,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(111,1),(130,1)}
        94:{2,4,5,7}:{(76,1),(77,1),(109,1),(110,1)}
        95:{2,3,6,7}:{(77,1),(80,1),(108,1),(110,1)}
        96:{1,2,4,5,6}:{(78,1),(79,1),(81,1),(109,1),(111,1),(113,1)}
        97:{1,3,5,7}:{(79,1),(80,1),(110,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(81,1),(82,1),(83,1),(111,1),(113,1),(114,1)}
        99:{1,2,4,7}:{(82,1),(112,1),(113,1)}
       100:{1,2,3,4,6}:{(83,1),(84,1),(113,1),(114,1)}
       101:{1,3,4,6}:{(85,1),(86,1),(87,1),(115,1)}
       102:{2,3,4,5,7}:{(86,1),(88,1),(115,1),(116,1),(123,1),(139,1)}
       103:{2,3,5,6}:{(87,1),(88,1),(90,1),(115,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(89,1),(91,1),(117,1),(118,1)}
       105:{1,2,4,6,7}:{(89,1),(118,1),(119,1),(134,1),(137,1)}
       106:{1,4,5,6}:{(90,1),(91,1),(117,1)}
       107:{1,2,4,5,7}:{(91,1),(92,1),(94,1),(118,1),(120,1),(121,1),(137,1)}
       108:{1,3,6,7}:{(92,1),(95,1),(121,1)}
       109:{2,4,5,6}:{(93,1),(94,1),(122,1)}
       110:{2,3,5,7}:{(94,1),(95,1),(97,1),(121,1),(122,1),(123,1)}
       111:{1,3,5,6}:{(96,1),(97,1),(122,1),(124,1)}
       112:{1,3,4,7}:{(97,1),(99,1),(123,1),(124,1)}
       113:{1,2,4,6}:{(98,1),(99,1),(124,1),(125,1)}
       114:{1,2,3,5}:{(100,1),(125,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(103,1),(126,1)}
       116:{1,3,4,5,7}:{(102,1),(104,1),(126,1),(127,1),(131,1),(143,1)}
       117:{1,3,5,6}:{(103,1),(104,1),(106,1),(126,1),(128,1)}
       118:{1,2,5,7}:{(104,1),(105,1),(128,1)}
       119:{1,2,3,6,7}:{(105,1),(108,1),(129,1),(140,1)}
       120:{1,2,4,5,6}:{(106,1),(107,1),(109,1),(128,1),(130,1),(142,1)}
       121:{1,3,5,7}:{(107,1),(108,1),(110,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(109,1),(110,1),(111,1),(130,1),(132,1)}
       123:{2,3,4,7}:{(110,1),(112,1),(131,1),(132,1)}
       124:{1,3,4,6}:{(111,1),(112,1),(113,1),(132,1),(133,1)}
       125:{1,2,4,5}:{(113,1),(114,1),(133,1)}
       126:{1,3,4,6}:{(115,1),(116,1),(117,1),(134,1)}
       127:{1,2,4,5,7}:{(116,1),(118,1),(134,1),(135,1),(137,1),(145,1)}
       128:{1,2,5,6}:{(117,1),(118,1),(134,1)}
       129:{1,2,3,5,7}:{(118,1),(119,1),(121,1),(136,1),(137,1)}
       130:{1,3,5,6}:{(120,1),(121,1),(122,1),(138,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(137,1),(138,1)}
       132:{2,3,4,6}:{(122,1),(123,1),(124,1),(138,1),(139,1)}
       133:{1,3,4,5}:{(124,1),(125,1),(139,1)}
       134:{1,2,4,6}:{(126,1),(127,1),(128,1),(140,1)}
       135:{1,2,3,5,7}:{(127,1),(140,1),(141,1),(146,1)}
       136:{1,2,3,5,6}:{(128,1),(129,1),(130,1),(140,1),(142,1),(146,1)}
       137:{1,2,4,7}:{(129,1),(131,1),(142,1)}
       138:{1,3,4,6}:{(130,1),(131,1),(132,1),(142,1),(143,1)}
       139:{2,3,4,5}:{(132,1),(133,1),(143,1)}
       140:{1,2,3,6}:{(134,1),(135,1)}
       141:{1,2,3,4,7}:{(135,1),(137,1),(144,1)}
       142:{1,2,4,6}:{(136,1),(137,1),(138,1),(145,1)}
       143:{1,3,4,5}:{(138,1),(139,1),(145,1)}
       144:{1,2,3,4,6}:{(140,1),(141,1),(142,1),(146,1)}
       145:{1,2,4,5}:{(142,1),(143,1),(146,1)}
       146:{1,2,3,5}:{(144,1),(145,1)}

2941 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

2942 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(91,1),(134,1),(145,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(21,1),(111,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(128,1),(145,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(21,1),(112,1),(141,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(21,1),(28,1),(87,1),(121,1),(140,1)}
         7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(34,1),(93,1),(132,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(12,1),(15,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(16,1),(38,1),(145,1)}
        11:{1,2,4,5,6,7}:{(13,1),(17,1),(38,1),(42,1),(71,1),(101,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(20,1),(21,1)}
        13:{1,2,4,5,7}:{(7,1),(10,1),(21,1),(45,1)}
        14:{1,3,4,5,7}:{(8,1),(23,1),(24,1),(48,1),(75,1),(117,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(20,1),(24,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(21,1),(25,1),(121,1),(141,1)}
        17:{1,3,5,6,7}:{(11,1),(21,1),(26,1),(28,1),(121,1)}
        18:{1,3,4,5,6,7}:{(26,1),(29,1),(56,1),(90,1)}
        19:{1,3,4,5,6}:{(12,1),(30,1),(31,1)}
        20:{2,3,5,6}:{(12,1),(15,1),(30,1),(33,1),(34,1)}
        21:{1,3,5,7}:{(12,1),(13,1),(16,1),(34,1)}
        22:{1,2,3,4,7}:{(32,1),(35,1),(98,1)}
        23:{1,2,4,5,7}:{(14,1),(35,1),(36,1),(62,1),(64,1),(98,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(33,1),(36,1)}
        25:{2,3,4,6,7}:{(15,1),(16,1),(34,1),(37,1),(38,1),(103,1),(132,1)}
        26:{1,3,4,6,7}:{(17,1),(31,1),(38,1)}
        27:{1,2,3,4,6,7}:{(32,1),(39,1),(65,1),(69,1),(98,1),(105,1)}
        28:{2,3,5,6,7}:{(17,1),(34,1),(38,1),(40,1),(71,1),(103,1)}
        29:{2,4,5,6,7}:{(18,1),(38,1),(41,1),(42,1),(71,1),(109,1)}
        30:{2,4,5,6}:{(19,1),(20,1),(44,1),(45,1)}
        31:{1,3,4,5,7}:{(19,1),(21,1),(26,1),(45,1)}
        32:{1,2,3,4,6}:{(22,1),(46,1),(49,1),(78,1)}
        33:{1,3,5,6}:{(20,1),(24,1),(44,1),(47,1),(48,1)}
        34:{2,3,5,7}:{(20,1),(21,1),(25,1),(45,1),(48,1)}
        35:{1,2,3,5,7}:{(22,1),(23,1),(46,1),(49,1)}
        36:{1,2,4,6}:{(23,1),(24,1),(47,1),(49,1)}
        37:{1,3,4,6,7}:{(24,1),(25,1),(48,1),(50,1),(52,1),(84,1),(117,1)}
        38:{2,4,6,7}:{(26,1),(28,1),(45,1),(52,1)}
        39:{1,2,3,5,7}:{(27,1),(46,1),(53,1),(54,1),(124,1)}
        40:{1,3,5,6,7}:{(28,1),(48,1),(52,1),(55,1),(84,1)}
        41:{2,3,5,6,7}:{(29,1),(51,1),(56,1)}
        42:{1,4,5,6,7}:{(29,1),(52,1),(56,1),(126,1)}
        43:{2,3,4,5,6}:{(30,1),(58,1),(59,1),(94,1),(108,1)}
        44:{1,4,5,6}:{(30,1),(33,1),(61,1)}
        45:{2,4,5,7}:{(30,1),(31,1),(34,1),(38,1),(61,1)}
        46:{1,2,3,5}:{(32,1),(62,1)}
        47:{1,2,5,6}:{(33,1),(36,1),(64,1)}
        48:{1,3,5,7}:{(33,1),(34,1),(37,1),(61,1),(64,1)}
        49:{1,2,3,6}:{(35,1),(36,1)}
        50:{1,2,4,6,7}:{(36,1),(37,1),(64,1),(65,1),(98,1)}
        51:{2,3,4,6,7}:{(38,1),(41,1),(59,1),(66,1),(103,1),(109,1)}
        52:{1,4,6,7}:{(38,1),(40,1),(61,1)}
        53:{1,2,4,5,7}:{(39,1),(62,1),(67,1),(69,1),(98,1)}
        54:{1,2,3,5,6}:{(39,1),(69,1),(104,1)}
        55:{1,2,5,6,7}:{(40,1),(64,1),(68,1),(71,1)}
        56:{1,3,5,6,7}:{(41,1),(42,1),(66,1),(71,1)}
        57:{1,2,4,5,6,7}:{(42,1),(68,1),(71,1),(72,1),(106,1),(109,1)}
        58:{1,3,4,5,6}:{(43,1),(44,1),(73,1),(74,1),(76,1),(113,1),(125,1)}
        59:{2,3,4,5,7}:{(43,1),(45,1),(51,1),(74,1),(116,1),(127,1)}
        60:{1,2,4,5,6}:{(44,1),(47,1),(73,1),(76,1),(77,1),(78,1)}
        61:{1,4,5,7}:{(44,1),(45,1),(48,1),(52,1)}
        62:{1,2,4,5}:{(46,1),(75,1),(78,1)}
        63:{1,2,3,5,6}:{(46,1),(47,1),(49,1),(76,1),(78,1),(79,1)}
        64:{1,2,5,7}:{(47,1),(48,1),(50,1)}
        65:{1,2,3,6,7}:{(49,1),(50,1),(79,1),(84,1)}
        66:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(74,1),(82,1),(84,1),(121,1),(126,1)}
        67:{1,3,4,5,7}:{(53,1),(75,1),(81,1),(83,1),(117,1),(124,1)}
        68:{1,2,4,6,7}:{(52,1),(55,1),(77,1),(82,1),(84,1)}
        69:{1,2,4,6}:{(53,1),(54,1),(83,1)}
        70:{1,2,3,5,6,7}:{(54,1),(55,1),(79,1),(84,1),(86,1),(88,1),(124,1)}
        71:{2,5,6,7}:{(56,1),(82,1)}
        72:{1,3,5,6,7}:{(57,1),(84,1),(88,1),(90,1),(124,1)}
        73:{2,4,5,6}:{(58,1),(94,1),(95,1)}
        74:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(131,1),(138,1)}
        75:{1,3,4,5}:{(62,1),(93,1),(96,1)}
        76:{1,3,5,6}:{(60,1),(94,1),(96,1),(97,1)}
        77:{1,2,4,5,7}:{(60,1),(61,1),(64,1),(68,1),(95,1),(97,1),(98,1)}
        78:{1,2,4,6}:{(62,1),(63,1),(96,1),(98,1)}
        79:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(97,1),(98,1)}
        80:{1,2,3,4,7}:{(91,1),(99,1),(145,1)}
        81:{2,3,4,5,7}:{(67,1),(93,1),(100,1),(102,1),(132,1),(137,1)}
        82:{2,4,6,7}:{(66,1),(71,1),(95,1),(103,1)}
        83:{1,3,4,6}:{(67,1),(69,1),(102,1),(104,1)}
        84:{1,3,6,7}:{(68,1),(97,1),(103,1)}
        85:{1,2,4,5,6}:{(69,1),(104,1),(106,1),(108,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(98,1),(105,1),(106,1),(109,1)}
        87:{1,2,5,6,7}:{(71,1),(101,1),(107,1),(146,1)}
        88:{2,3,5,6,7}:{(71,1),(72,1),(103,1),(107,1),(109,1),(137,1)}
        89:{1,3,4,5,6}:{(104,1),(108,1),(110,1)}
        90:{1,3,4,6,7}:{(72,1),(109,1),(110,1)}
        91:{1,2,3,4,6}:{(80,1),(111,1),(119,1),(139,1)}
        92:{1,2,4,5,6}:{(73,1),(113,1),(114,1),(125,1),(139,1),(142,1)}
        93:{2,3,4,5}:{(75,1),(112,1),(115,1)}
        94:{2,3,5,6}:{(73,1),(76,1),(113,1),(115,1),(116,1)}
        95:{2,4,5,7}:{(73,1),(74,1),(82,1),(116,1)}
        96:{1,3,4,6}:{(75,1),(76,1),(78,1),(115,1),(117,1)}
        97:{1,3,5,7}:{(76,1),(77,1),(84,1),(116,1),(117,1)}
        98:{1,2,4,7}:{(78,1),(79,1),(117,1)}
        99:{1,2,3,5,7}:{(80,1),(111,1),(118,1),(119,1)}
       100:{1,3,4,5,7}:{(81,1),(112,1),(118,1),(120,1),(141,1),(144,1)}
       101:{1,2,4,6,7}:{(82,1),(87,1),(114,1),(121,1),(126,1)}
       102:{2,3,4,6}:{(81,1),(83,1),(120,1),(122,1)}
       103:{2,3,6,7}:{(82,1),(84,1),(116,1),(121,1)}
       104:{1,3,5,6}:{(83,1),(85,1),(122,1),(124,1)}
       105:{1,3,4,6,7}:{(83,1),(84,1),(86,1),(117,1),(123,1),(124,1)}
       106:{1,2,4,5,7}:{(85,1),(86,1),(124,1),(127,1)}
       107:{1,3,5,6,7}:{(87,1),(88,1),(121,1),(126,1),(144,1)}
       108:{2,4,5,6}:{(89,1),(122,1),(125,1),(127,1)}
       109:{2,4,6,7}:{(88,1),(90,1),(126,1),(127,1)}
       110:{1,3,4,5,7}:{(89,1),(90,1),(124,1),(127,1)}
       111:{1,2,3,5}:{(91,1),(128,1)}
       112:{1,3,4,5}:{(93,1),(128,1),(130,1)}
       113:{1,3,5,6}:{(92,1),(94,1),(130,1),(131,1)}
       114:{1,2,4,5,7}:{(92,1),(95,1),(101,1),(131,1),(138,1),(145,1),(146,1)}
       115:{2,3,4,6}:{(93,1),(94,1),(96,1),(130,1),(132,1)}
       116:{2,3,5,7}:{(94,1),(95,1),(97,1),(103,1),(131,1),(132,1)}
       117:{1,3,4,7}:{(96,1),(97,1),(98,1),(132,1)}
       118:{1,2,4,5,7}:{(99,1),(100,1),(128,1),(133,1),(145,1),(146,1)}
       119:{1,2,3,6}:{(99,1),(133,1)}
       120:{1,3,4,6}:{(100,1),(102,1),(133,1),(135,1)}
       121:{1,3,6,7}:{(101,1),(103,1),(131,1)}
       122:{2,3,5,6}:{(102,1),(104,1),(108,1),(135,1),(137,1)}
       123:{2,3,4,6,7}:{(102,1),(103,1),(105,1),(109,1),(132,1),(136,1),(137,1)}
       124:{1,3,5,7}:{(104,1),(105,1),(106,1),(137,1)}
       125:{1,4,5,6}:{(108,1),(135,1),(138,1)}
       126:{1,4,6,7}:{(107,1),(109,1),(138,1)}
       127:{2,4,5,7}:{(108,1),(109,1),(110,1),(137,1),(138,1)}
       128:{1,2,4,5}:{(111,1),(112,1),(139,1)}
       129:{1,2,3,5,6}:{(111,1),(113,1),(119,1),(139,1),(140,1),(142,1)}
       130:{1,3,4,6}:{(112,1),(113,1),(115,1),(139,1),(141,1)}
       131:{1,3,5,7}:{(113,1),(114,1),(116,1),(121,1),(141,1)}
       132:{2,3,4,7}:{(115,1),(116,1),(117,1),(141,1)}
       133:{1,2,4,6}:{(118,1),(119,1),(120,1),(142,1)}
       134:{1,2,3,6,7}:{(119,1),(121,1),(140,1),(143,1)}
       135:{1,3,5,6}:{(120,1),(122,1),(125,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(120,1),(121,1),(123,1),(126,1),(141,1),(143,1),(144,1)}
       137:{2,3,5,7}:{(122,1),(123,1),(124,1),(127,1),(144,1)}
       138:{1,4,5,7}:{(125,1),(126,1),(127,1),(144,1)}
       139:{1,2,4,6}:{(128,1),(129,1),(130,1),(145,1)}
       140:{1,2,3,5,7}:{(129,1),(131,1),(134,1),(145,1),(146,1)}
       141:{1,3,4,7}:{(130,1),(131,1),(132,1),(145,1)}
       142:{1,2,5,6}:{(133,1),(135,1),(146,1)}
       143:{1,2,4,6,7}:{(133,1),(134,1),(136,1),(145,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(138,1),(146,1)}
       145:{1,2,4,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,5,7}:{(142,1),(143,1),(144,1)}

2943 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(100,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(91,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(93,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(69,1),(93,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(69,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(48,1),(78,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(44,1),(81,1),(97,1),(99,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(54,1),(81,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(54,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(57,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(90,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(59,1),(66,1),(87,1),(90,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(66,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(43,1),(44,1),(72,1),(95,1),(97,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(44,1),(45,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(46,1),(78,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(46,1),(47,1),(77,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(47,1),(48,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(44,1),(48,1),(49,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(45,1),(49,1),(50,1)}
        35:{1,2,5,6,7}:{(21,1),(47,1),(51,1),(54,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(48,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(49,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(50,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(52,1),(54,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(53,1),(54,1),(55,1)}
        41:{1,2,3,6}:{(27,1),(55,1)}
        42:{1,2,3,5,6}:{(29,1),(56,1),(57,1),(84,1),(101,1),(102,1)}
        43:{1,2,4,6,7}:{(28,1),(32,1),(58,1),(59,1),(87,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,6}:{(29,1),(34,1),(57,1),(60,1),(61,1)}
        46:{1,4,5,6,7}:{(30,1),(31,1),(62,1),(66,1),(87,1)}
        47:{2,5,6,7}:{(31,1),(32,1)}
        48:{2,3,6,7}:{(32,1),(33,1),(36,1),(59,1)}
        49:{2,3,4,7}:{(33,1),(34,1),(37,1),(60,1)}
        50:{2,3,4,5}:{(34,1),(38,1),(61,1)}
        51:{1,3,5,6,7}:{(35,1),(36,1),(63,1),(66,1),(67,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(64,1),(66,1),(67,1),(68,1)}
        53:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(65,1),(67,1),(68,1)}
        54:{1,2,5,7}:{(39,1),(67,1),(69,1)}
        55:{1,2,4,6}:{(40,1),(41,1),(68,1),(69,1)}
        56:{1,2,3,5,7}:{(42,1),(44,1),(71,1),(72,1),(95,1)}
        57:{1,2,4,6}:{(42,1),(45,1),(72,1),(73,1)}
        58:{1,2,5,6,7}:{(43,1),(47,1),(74,1),(95,1)}
        59:{1,3,6,7}:{(43,1),(44,1),(48,1)}
        60:{1,3,4,7}:{(44,1),(45,1),(49,1),(72,1)}
        61:{1,3,4,5}:{(45,1),(50,1),(73,1)}
        62:{2,4,5,6,7}:{(46,1),(47,1),(77,1),(78,1)}
        63:{2,3,5,6,7}:{(47,1),(48,1),(51,1),(74,1),(77,1),(78,1),(79,1)}
        64:{2,3,4,6,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(80,1)}
        65:{2,3,4,5,7}:{(49,1),(50,1),(53,1),(76,1),(79,1),(80,1)}
        66:{1,4,6,7}:{(51,1),(78,1),(81,1)}
        67:{1,3,5,7}:{(52,1),(54,1),(79,1),(81,1),(82,1)}
        68:{1,3,4,6}:{(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,5,6}:{(54,1),(55,1),(82,1)}
        70:{1,2,3,4,6}:{(57,1),(83,1),(84,1),(101,1)}
        71:{1,2,3,6,7}:{(56,1),(59,1),(85,1),(101,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(60,1)}
        73:{1,2,4,5}:{(57,1),(61,1),(84,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(63,1),(87,1),(88,1)}
        75:{1,3,4,6,7}:{(59,1),(60,1),(64,1),(85,1),(87,1),(88,1),(89,1)}
        76:{1,3,4,5,7}:{(60,1),(61,1),(65,1),(86,1),(88,1),(89,1)}
        77:{3,5,6,7}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(66,1),(87,1),(90,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(67,1),(88,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(68,1),(89,1),(92,1)}
        81:{1,4,5,7}:{(66,1),(67,1),(91,1),(93,1)}
        82:{1,3,5,6}:{(67,1),(68,1),(69,1),(92,1),(93,1)}
        83:{1,2,3,4,7}:{(70,1),(72,1),(94,1)}
        84:{1,2,3,5}:{(70,1),(73,1)}
        85:{1,2,4,6,7}:{(71,1),(72,1),(75,1),(95,1),(96,1)}
        86:{1,2,4,5,7}:{(72,1),(73,1),(76,1),(94,1),(95,1),(96,1)}
        87:{1,4,6,7}:{(74,1),(78,1),(97,1)}
        88:{1,3,5,7}:{(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{1,3,4,6}:{(76,1),(80,1),(96,1),(98,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(99,1)}
        91:{2,4,5,7}:{(78,1),(79,1),(81,1),(97,1),(99,1),(100,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(82,1),(98,1),(100,1)}
        93:{1,4,5,6}:{(81,1),(82,1),(100,1)}
        94:{1,2,3,5,7}:{(83,1),(84,1),(86,1),(101,1)}
        95:{1,2,5,7}:{(85,1),(88,1),(102,1)}
        96:{1,2,4,6}:{(86,1),(89,1),(101,1),(102,1)}
        97:{1,4,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        98:{1,3,5,6}:{(88,1),(89,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,7}:{(90,1),(91,1),(104,1)}
       100:{2,4,5,6}:{(91,1),(92,1),(93,1),(103,1),(104,1)}
       101:{1,2,3,6}:{(94,1),(96,1)}
       102:{1,2,5,6}:{(95,1),(96,1),(98,1)}
       103:{1,4,5,6}:{(97,1),(98,1),(100,1)}
       104:{3,4,5,6}:{(99,1),(100,1)}

2944 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(18,1),(134,1),(135,1),(145,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(142,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(145,1),(146,1)}
         4:{1,2,3,5,6,7}:{(2,1),(10,1),(27,1),(28,1),(95,1),(127,1),(140,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(28,1),(143,1),(144,1)}
         7:{1,2,3,4,6,7}:{(13,1),(34,1),(69,1),(85,1),(86,1),(118,1)}
         8:{1,2,4,5,6,7}:{(15,1),(16,1),(38,1),(41,1),(79,1),(112,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(40,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(16,1),(18,1),(41,1),(145,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(17,1),(19,1)}
        12:{2,3,4,5,7}:{(6,1),(19,1),(20,1),(43,1),(138,1),(139,1)}
        13:{1,2,3,5,7}:{(7,1),(21,1),(22,1),(87,1),(104,1)}
        14:{1,3,4,5,6,7}:{(24,1),(26,1),(53,1),(57,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(127,1)}
        16:{1,2,4,5,7}:{(9,1),(10,1),(28,1),(58,1)}
        17:{1,3,5,6}:{(9,1),(11,1),(28,1),(29,1)}
        18:{1,3,4,6,7}:{(10,1),(11,1),(28,1),(30,1),(127,1),(143,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(29,1),(31,1)}
        20:{1,3,4,5,7}:{(12,1),(31,1),(32,1),(62,1),(130,1),(131,1)}
        21:{1,2,3,5,6}:{(13,1),(34,1),(68,1)}
        22:{1,2,4,5,7}:{(13,1),(34,1),(35,1),(118,1),(119,1)}
        23:{1,2,4,5,6,7}:{(36,1),(38,1),(67,1),(74,1),(79,1),(82,1)}
        24:{2,4,5,6,7}:{(14,1),(37,1),(38,1),(41,1),(74,1),(79,1)}
        25:{1,3,4,5,6}:{(17,1),(39,1),(40,1)}
        26:{1,3,4,6,7}:{(15,1),(39,1),(41,1)}
        27:{2,3,5,6,7}:{(15,1),(41,1),(42,1),(43,1),(79,1),(115,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(18,1),(43,1)}
        29:{2,3,5,6}:{(17,1),(19,1),(40,1),(43,1),(44,1)}
        30:{2,3,4,6,7}:{(18,1),(19,1),(41,1),(43,1),(45,1),(115,1),(138,1)}
        31:{1,3,4,6}:{(19,1),(20,1),(44,1),(46,1)}
        32:{1,2,4,5,7}:{(20,1),(46,1),(47,1),(83,1),(118,1),(119,1)}
        33:{1,2,3,5,6,7}:{(21,1),(49,1),(54,1),(61,1),(87,1),(101,1),(102,1)}
        34:{1,2,4,6}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(87,1),(130,1),(131,1)}
        36:{1,3,5,6,7}:{(23,1),(53,1),(54,1),(87,1),(101,1)}
        37:{2,3,5,6,7}:{(24,1),(56,1),(57,1)}
        38:{1,4,5,6,7}:{(24,1),(57,1),(60,1),(94,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(58,1)}
        40:{2,4,5,6}:{(25,1),(29,1),(58,1),(59,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(58,1),(60,1)}
        42:{1,3,5,6,7}:{(27,1),(60,1),(61,1),(62,1),(101,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(30,1),(58,1),(62,1)}
        44:{1,3,5,6}:{(29,1),(31,1),(59,1),(62,1),(63,1)}
        45:{1,3,4,6,7}:{(30,1),(31,1),(60,1),(62,1),(64,1),(101,1),(130,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(65,1)}
        47:{1,2,3,5,7}:{(32,1),(65,1),(66,1),(104,1)}
        48:{1,2,4,5,6}:{(34,1),(67,1),(68,1),(73,1)}
        49:{1,2,4,6,7}:{(33,1),(34,1),(67,1),(69,1),(74,1),(118,1)}
        50:{1,3,4,6}:{(34,1),(35,1),(68,1),(70,1)}
        51:{2,3,4,5,7}:{(35,1),(70,1),(71,1),(105,1),(138,1),(139,1)}
        52:{1,3,4,5,6}:{(68,1),(72,1),(73,1)}
        53:{1,3,4,6,7}:{(36,1),(72,1),(74,1)}
        54:{2,3,5,6,7}:{(36,1),(74,1),(75,1),(79,1),(105,1),(115,1)}
        55:{2,3,4,5,6}:{(40,1),(73,1),(76,1),(77,1),(114,1)}
        56:{2,3,4,6,7}:{(37,1),(41,1),(74,1),(76,1),(78,1),(115,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(78,1),(79,1)}
        58:{2,4,5,7}:{(39,1),(40,1),(41,1),(43,1),(80,1)}
        59:{1,4,5,6}:{(40,1),(44,1),(80,1)}
        60:{1,4,6,7}:{(41,1),(42,1),(80,1)}
        61:{1,2,5,6,7}:{(42,1),(79,1),(82,1),(83,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(46,1),(83,1)}
        64:{1,2,4,6,7}:{(45,1),(46,1),(83,1),(85,1),(118,1)}
        65:{1,2,3,6}:{(46,1),(47,1)}
        66:{1,2,3,4,7}:{(47,1),(86,1),(118,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(87,1),(92,1)}
        68:{1,3,5,6}:{(48,1),(50,1),(87,1),(88,1)}
        69:{1,3,4,6,7}:{(49,1),(50,1),(87,1),(89,1),(101,1),(130,1)}
        70:{2,3,4,6}:{(50,1),(51,1),(88,1),(90,1)}
        71:{1,3,4,5,7}:{(51,1),(90,1),(91,1),(120,1),(143,1),(144,1)}
        72:{1,3,4,5,7}:{(52,1),(53,1),(87,1),(92,1)}
        73:{2,4,5,6}:{(52,1),(88,1),(92,1),(93,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(92,1),(94,1)}
        75:{1,3,5,6,7}:{(54,1),(94,1),(95,1),(120,1),(127,1)}
        76:{2,3,4,5,7}:{(55,1),(56,1),(58,1),(92,1),(96,1),(128,1)}
        77:{1,3,4,5,6}:{(55,1),(59,1),(93,1),(96,1),(97,1),(100,1),(126,1)}
        78:{1,3,4,6,7}:{(56,1),(57,1),(60,1),(94,1),(96,1),(98,1),(101,1),(127,1)}
        79:{2,5,6,7}:{(57,1),(98,1)}
        80:{1,4,5,7}:{(58,1),(59,1),(60,1),(62,1)}
        81:{1,2,4,5,6}:{(59,1),(63,1),(97,1),(99,1),(100,1),(103,1)}
        82:{1,2,4,6,7}:{(60,1),(61,1),(98,1),(99,1),(101,1)}
        83:{1,2,5,7}:{(62,1),(63,1),(64,1)}
        84:{1,2,3,5,6}:{(63,1),(65,1),(100,1),(102,1),(103,1),(104,1)}
        85:{1,2,3,6,7}:{(64,1),(65,1),(101,1),(102,1)}
        86:{1,2,3,4,6}:{(65,1),(66,1),(103,1),(104,1)}
        87:{1,3,5,7}:{(67,1),(68,1),(69,1),(105,1)}
        88:{2,3,5,6}:{(68,1),(70,1),(73,1),(105,1),(106,1)}
        89:{2,3,4,6,7}:{(69,1),(70,1),(74,1),(105,1),(107,1),(115,1),(138,1)}
        90:{1,3,4,6}:{(70,1),(71,1),(106,1),(108,1)}
        91:{1,2,4,5,7}:{(71,1),(108,1),(109,1),(132,1),(145,1),(146,1)}
        92:{2,4,5,7}:{(72,1),(73,1),(74,1),(105,1),(110,1)}
        93:{1,4,5,6}:{(73,1),(106,1),(110,1)}
        94:{1,4,6,7}:{(74,1),(75,1),(110,1)}
        95:{1,2,5,6,7}:{(75,1),(79,1),(112,1),(132,1)}
        96:{1,3,4,5,7}:{(76,1),(77,1),(78,1),(80,1),(110,1),(113,1),(116,1),(136,1)}
        97:{2,4,5,6}:{(77,1),(113,1),(114,1)}
        98:{2,4,6,7}:{(78,1),(79,1),(113,1),(115,1)}
        99:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(113,1),(116,1),(118,1)}
       100:{1,3,5,6}:{(81,1),(114,1),(116,1),(117,1)}
       101:{1,3,6,7}:{(82,1),(115,1),(116,1)}
       102:{1,2,3,5,7}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,4,6}:{(84,1),(117,1),(118,1),(119,1)}
       104:{1,2,3,5}:{(86,1),(119,1)}
       105:{2,3,5,7}:{(87,1),(88,1),(89,1),(92,1),(120,1)}
       106:{1,3,5,6}:{(88,1),(90,1),(93,1),(120,1),(121,1)}
       107:{1,3,4,6,7}:{(89,1),(90,1),(94,1),(120,1),(122,1),(127,1),(143,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(121,1),(123,1)}
       109:{1,2,3,5,7}:{(91,1),(123,1),(124,1),(142,1)}
       110:{1,4,5,7}:{(92,1),(93,1),(94,1),(120,1)}
       111:{1,2,4,5,6}:{(93,1),(97,1),(121,1),(125,1),(126,1),(141,1)}
       112:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(125,1),(127,1)}
       113:{2,4,5,7}:{(96,1),(97,1),(98,1),(128,1)}
       114:{2,3,5,6}:{(97,1),(100,1),(126,1),(128,1),(129,1)}
       115:{2,3,6,7}:{(98,1),(101,1),(127,1),(128,1)}
       116:{1,3,5,7}:{(99,1),(100,1),(101,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(100,1),(103,1),(129,1),(130,1),(131,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(130,1)}
       119:{1,2,4,5}:{(103,1),(104,1),(131,1)}
       120:{1,3,5,7}:{(105,1),(106,1),(107,1),(110,1),(132,1)}
       121:{1,2,5,6}:{(106,1),(108,1),(132,1)}
       122:{1,2,4,6,7}:{(107,1),(108,1),(132,1),(134,1),(145,1)}
       123:{1,2,3,6}:{(108,1),(109,1)}
       124:{1,2,3,4,7}:{(109,1),(135,1),(145,1)}
       125:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(113,1),(132,1),(136,1),(145,1)}
       126:{1,3,5,6}:{(111,1),(114,1),(136,1),(137,1)}
       127:{1,3,6,7}:{(112,1),(115,1),(136,1)}
       128:{2,3,5,7}:{(113,1),(114,1),(115,1),(116,1),(136,1),(138,1)}
       129:{2,3,4,6}:{(114,1),(117,1),(137,1),(138,1),(139,1)}
       130:{1,3,4,7}:{(116,1),(117,1),(118,1),(138,1)}
       131:{1,3,4,5}:{(117,1),(119,1),(139,1)}
       132:{1,2,5,7}:{(120,1),(121,1),(122,1)}
       133:{1,2,3,5,6}:{(121,1),(123,1),(126,1),(140,1),(141,1),(142,1)}
       134:{1,2,3,6,7}:{(122,1),(123,1),(127,1),(140,1)}
       135:{1,2,3,4,6}:{(123,1),(124,1),(141,1),(142,1)}
       136:{1,3,5,7}:{(125,1),(126,1),(127,1),(128,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(129,1),(141,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(128,1),(129,1),(130,1),(143,1)}
       139:{2,3,4,5}:{(129,1),(131,1),(144,1)}
       140:{1,2,3,5,7}:{(132,1),(133,1),(134,1),(136,1),(145,1)}
       141:{1,2,4,6}:{(133,1),(137,1),(145,1),(146,1)}
       142:{1,2,3,5}:{(135,1),(146,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(138,1),(145,1)}
       144:{1,3,4,5}:{(137,1),(139,1),(146,1)}
       145:{1,2,4,7}:{(140,1),(141,1),(143,1)}
       146:{1,2,4,5}:{(141,1),(142,1),(144,1)}

2945 :   0:{1,2,3,4,6}:{(2,1),(3,1),(17,1),(18,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(26,1),(90,1)}
         2:{1,2,3,4,7}:{(0,1),(7,1),(34,1)}
         3:{1,2,3,5}:{(0,1),(8,1)}
         4:{1,3,4,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(80,1),(96,1),(99,1)}
         5:{2,3,4,5,7}:{(1,1),(10,1),(12,1),(45,1),(101,1)}
         6:{1,2,4,5,6}:{(11,1),(14,1),(15,1),(18,1),(50,1),(80,1)}
         7:{1,2,3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,4,5}:{(3,1),(13,1),(18,1)}
         9:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(19,1),(50,1)}
        10:{2,3,4,6,7}:{(5,1),(23,1),(24,1),(62,1),(91,1)}
        11:{2,4,5,6}:{(4,1),(26,1),(27,1)}
        12:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(31,1),(58,1),(93,1),(103,1),(104,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(30,1)}
        14:{1,3,5,6}:{(6,1),(26,1),(30,1),(31,1)}
        15:{1,2,4,5,7}:{(6,1),(27,1),(29,1),(31,1),(34,1),(67,1),(93,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(28,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,6}:{(7,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(34,1)}
        19:{1,2,3,5,7}:{(9,1),(31,1),(33,1),(34,1),(67,1)}
        20:{1,2,3,4,6}:{(35,1),(36,1),(69,1),(70,1)}
        21:{1,2,4,5,6}:{(11,1),(38,1),(39,1),(70,1),(94,1),(96,1)}
        22:{3,4,5,6,7}:{(40,1),(100,1)}
        23:{2,3,5,6,7}:{(10,1),(40,1),(41,1)}
        24:{1,3,4,6,7}:{(10,1),(12,1),(41,1),(43,1),(48,1),(74,1),(81,1),(97,1),(100,1)}
        25:{2,3,4,5}:{(13,1),(37,1),(44,1)}
        26:{2,3,5,6}:{(11,1),(14,1),(38,1),(44,1),(45,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(43,1),(45,1)}
        28:{1,3,4,5,7}:{(13,1),(16,1),(42,1),(47,1),(49,1),(82,1)}
        29:{1,2,4,6,7}:{(15,1),(43,1),(46,1),(48,1),(81,1)}
        30:{1,3,4,6}:{(13,1),(14,1),(18,1),(44,1),(49,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(45,1),(48,1),(49,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(50,1)}
        33:{1,2,3,6,7}:{(17,1),(19,1),(48,1),(51,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1)}
        35:{1,2,3,4,7}:{(20,1),(52,1),(85,1)}
        36:{1,2,3,5}:{(20,1),(53,1)}
        37:{1,3,4,5}:{(25,1),(53,1),(57,1)}
        38:{1,3,5,6}:{(21,1),(26,1),(57,1),(58,1)}
        39:{1,2,4,5,7}:{(21,1),(27,1),(56,1),(58,1),(85,1),(102,1),(103,1)}
        40:{2,4,5,6,7}:{(22,1),(23,1),(59,1),(91,1)}
        41:{1,3,5,6,7}:{(23,1),(24,1),(59,1),(60,1),(89,1)}
        42:{2,3,4,5,7}:{(25,1),(28,1),(55,1),(61,1),(63,1),(92,1)}
        43:{2,4,6,7}:{(24,1),(27,1),(60,1),(62,1)}
        44:{2,3,4,6}:{(25,1),(26,1),(30,1),(57,1),(63,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(31,1),(58,1),(62,1),(63,1)}
        46:{1,2,5,6,7}:{(29,1),(60,1),(64,1),(67,1)}
        47:{1,3,4,6}:{(28,1),(32,1),(61,1),(65,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(62,1)}
        49:{1,3,4,7}:{(30,1),(31,1),(34,1),(63,1)}
        50:{1,2,5,6}:{(32,1),(65,1),(67,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(66,1),(67,1)}
        52:{1,2,3,5,7}:{(35,1),(36,1),(68,1),(69,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(70,1)}
        54:{1,2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1),(94,1)}
        55:{1,3,4,5,7}:{(37,1),(42,1),(68,1),(73,1),(75,1),(98,1)}
        56:{1,2,4,6,7}:{(39,1),(43,1),(72,1),(74,1),(97,1)}
        57:{1,3,4,6}:{(37,1),(38,1),(44,1),(70,1),(75,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(45,1),(74,1),(75,1)}
        59:{1,4,5,6,7}:{(40,1),(41,1),(76,1),(81,1),(97,1)}
        60:{2,5,6,7}:{(41,1),(43,1)}
        61:{2,3,4,6}:{(42,1),(47,1),(73,1),(78,1)}
        62:{2,3,6,7}:{(43,1),(45,1),(48,1),(74,1)}
        63:{2,3,4,7}:{(44,1),(45,1),(49,1),(75,1)}
        64:{1,3,5,6,7}:{(46,1),(48,1),(77,1),(81,1),(82,1)}
        65:{1,3,5,6}:{(47,1),(50,1),(78,1),(80,1),(82,1)}
        66:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(79,1),(81,1),(82,1)}
        67:{1,2,5,7}:{(50,1),(51,1),(82,1)}
        68:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(83,1),(85,1),(102,1)}
        69:{1,2,3,6}:{(52,1),(83,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(57,1),(85,1)}
        71:{1,2,3,5,7}:{(54,1),(58,1),(84,1),(85,1),(102,1)}
        72:{1,2,5,6,7}:{(56,1),(60,1),(86,1),(102,1)}
        73:{1,3,4,6}:{(55,1),(61,1),(83,1),(87,1)}
        74:{1,3,6,7}:{(56,1),(58,1),(62,1)}
        75:{1,3,4,7}:{(57,1),(58,1),(63,1),(85,1)}
        76:{2,4,5,6,7}:{(59,1),(60,1),(89,1),(91,1)}
        77:{2,3,5,6,7}:{(60,1),(62,1),(64,1),(86,1),(89,1),(91,1),(92,1)}
        78:{2,3,5,6}:{(61,1),(65,1),(87,1),(90,1),(92,1)}
        79:{2,3,4,6,7}:{(61,1),(62,1),(63,1),(66,1),(88,1),(91,1),(92,1)}
        80:{1,4,5,6}:{(65,1),(90,1),(93,1)}
        81:{1,4,6,7}:{(64,1),(91,1),(93,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(73,1),(94,1)}
        84:{1,2,3,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        85:{1,2,4,7}:{(70,1),(71,1),(75,1)}
        86:{1,3,5,6,7}:{(72,1),(74,1),(77,1),(97,1),(98,1)}
        87:{1,3,5,6}:{(73,1),(78,1),(94,1),(96,1),(98,1)}
        88:{1,3,4,6,7}:{(73,1),(74,1),(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{3,5,6,7}:{(76,1),(100,1)}
        90:{2,4,5,6}:{(78,1),(80,1),(96,1),(99,1),(101,1)}
        91:{2,4,6,7}:{(77,1),(81,1),(97,1),(100,1),(101,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(82,1),(98,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(87,1),(102,1)}
        95:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(88,1),(102,1)}
        96:{1,4,5,6}:{(87,1),(90,1),(103,1)}
        97:{1,4,6,7}:{(86,1),(91,1),(103,1)}
        98:{1,3,5,7}:{(87,1),(88,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,6}:{(90,1),(104,1)}
       100:{3,4,6,7}:{(89,1),(91,1),(104,1)}
       101:{2,4,5,7}:{(90,1),(91,1),(92,1),(93,1),(103,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(98,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(101,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

2946 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

2947 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(13,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(15,1),(16,1)}
       12:{1,2,3,4,5}:{(17,1)}
       13:{1,3,4,5,6}:{(9,1),(18,1),(19,1)}
       14:{2,3,4,5,7}:{(9,1),(10,1),(19,1),(20,1)}
       15:{1,3,4,6,7}:{(10,1),(11,1),(20,1),(21,1)}
       16:{1,2,5,6,7}:{(11,1),(21,1)}
       17:{1,2,3,4,6}:{(12,1),(22,1),(23,1)}
       18:{1,2,4,5,6}:{(13,1),(22,1),(24,1)}
       19:{1,3,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,3,4,6,7}:{(14,1),(15,1),(25,1),(26,1)}
       21:{1,3,5,6,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(18,1),(28,1)}
       23:{1,2,3,4,7}:{(17,1),(28,1)}
       24:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,3,4,6,7}:{(19,1),(20,1),(29,1),(30,1)}
       26:{2,3,5,6,7}:{(20,1),(21,1),(30,1),(31,1)}
       27:{1,4,5,6,7}:{(21,1),(31,1)}
       28:{1,2,3,5,7}:{(22,1),(23,1),(24,1),(32,1)}
       29:{1,2,4,6,7}:{(24,1),(25,1),(32,1),(33,1)}
       30:{1,3,5,6,7}:{(25,1),(26,1),(33,1),(34,1)}
       31:{2,4,5,6,7}:{(26,1),(27,1),(34,1),(35,1)}
       32:{1,2,3,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(30,1)}
       34:{1,4,5,6,7}:{(30,1),(31,1)}
       35:{3,4,5,6,7}:{(31,1)}

2948 :   0:{1,2,3,5,6,7}:{(2,1),(9,1),(13,1),(25,1),(53,1),(54,1),(75,1),(76,1),(90,1),(91,1)}
         1:{1,2,4,5,6,7}:{(3,1),(8,1),(12,1),(31,1),(51,1),(53,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(34,1),(41,1),(80,1),(87,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(7,1),(15,1),(40,1),(64,1)}
         4:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(24,1),(31,1),(53,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(23,1),(91,1),(92,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(23,1)}
         7:{2,3,5,6,7}:{(3,1),(12,1),(13,1),(25,1),(28,1),(53,1),(54,1)}
         8:{1,2,4,5,6}:{(4,1),(15,1),(34,1),(42,1),(65,1),(80,1)}
         9:{1,3,5,7}:{(4,1),(5,1),(15,1),(16,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(34,1),(41,1),(82,1),(83,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(40,1),(68,1)}
        12:{2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(34,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(36,1),(40,1),(44,1)}
        14:{1,3,4,5,7}:{(9,1),(23,1),(24,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(23,1),(25,1),(91,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(27,1),(47,1),(72,1),(73,1)}
        18:{2,3,4,6,7}:{(12,1),(28,1),(29,1),(45,1),(54,1),(78,1)}
        19:{1,3,4,5,6}:{(11,1),(23,1),(30,1),(52,1),(79,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(28,1),(30,1),(31,1),(53,1),(78,1)}
        21:{1,4,6,7}:{(12,1),(13,1),(31,1),(47,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(49,1),(53,1)}
        23:{1,3,4,6}:{(14,1),(15,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(16,1),(34,1),(35,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(34,1),(36,1),(65,1),(82,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(35,1),(36,1),(37,1)}
        27:{1,2,4,6,7}:{(17,1),(37,1),(38,1),(41,1),(59,1),(62,1)}
        28:{2,3,5,7}:{(18,1),(20,1),(39,1),(40,1)}
        29:{1,3,4,6,7}:{(18,1),(21,1),(40,1),(41,1),(44,1),(57,1),(64,1),(68,1),(87,1)}
        30:{2,4,5,6}:{(19,1),(20,1),(34,1),(39,1),(42,1),(65,1),(88,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1),(42,1),(87,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(41,1),(43,1),(44,1),(59,1)}
        33:{2,3,4,5,7}:{(24,1),(28,1),(45,1),(46,1),(71,1),(78,1),(96,1)}
        34:{2,4,6}:{(23,1),(24,1),(25,1),(47,1)}
        35:{1,4,5,7}:{(24,1),(26,1),(47,1)}
        36:{1,3,5,6}:{(25,1),(26,1),(47,1),(49,1),(72,1)}
        37:{1,2,5,7}:{(26,1),(27,1),(49,1),(53,1)}
        38:{1,2,3,6,7}:{(27,1),(50,1),(54,1),(72,1)}
        39:{2,3,5,6}:{(28,1),(30,1),(45,1),(52,1)}
        40:{1,3,5,7}:{(28,1),(29,1),(31,1),(52,1),(53,1)}
        41:{2,4,6,7}:{(29,1),(53,1),(54,1),(70,1),(78,1)}
        42:{1,4,5,6}:{(30,1),(31,1),(47,1),(52,1),(95,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(53,1),(55,1),(56,1),(78,1)}
        44:{1,3,6,7}:{(32,1),(54,1),(56,1),(72,1)}
        45:{2,3,4,6}:{(33,1),(34,1),(39,1),(57,1),(82,1),(88,1)}
        46:{1,3,4,5,7}:{(33,1),(35,1),(40,1),(57,1),(58,1),(60,1),(68,1),(81,1),(87,1),(89,1),(101,1)}
        47:{1,4,6}:{(34,1),(35,1),(36,1)}
        48:{1,2,4,5,7}:{(35,1),(37,1),(58,1),(59,1),(60,1),(62,1),(85,1)}
        49:{1,2,5,6}:{(36,1),(37,1),(59,1),(65,1)}
        50:{1,2,3,5,7}:{(37,1),(38,1),(60,1),(61,1),(62,1),(66,1)}
        51:{1,2,4,6,7}:{(41,1),(63,1),(64,1),(80,1),(87,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(42,1),(57,1),(65,1)}
        53:{2,5,7}:{(40,1),(41,1),(65,1)}
        54:{2,3,6,7}:{(41,1),(44,1),(64,1),(66,1),(82,1)}
        55:{1,2,4,5,6}:{(42,1),(43,1),(59,1),(65,1),(67,1),(85,1),(88,1)}
        56:{1,3,5,7}:{(43,1),(44,1),(66,1),(67,1),(68,1)}
        57:{1,3,4,6}:{(45,1),(46,1),(47,1),(52,1),(70,1),(72,1),(91,1),(95,1)}
        58:{2,4,5,7}:{(46,1),(53,1),(70,1),(71,1),(78,1),(96,1)}
        59:{1,2,4,6}:{(47,1),(48,1),(49,1),(70,1),(72,1)}
        60:{1,3,5,7}:{(48,1),(71,1),(72,1),(73,1),(94,1)}
        61:{1,2,3,5,6}:{(49,1),(50,1),(72,1),(74,1),(77,1),(94,1)}
        62:{1,2,4,7}:{(50,1),(73,1),(74,1),(78,1)}
        63:{1,2,5,7}:{(51,1),(53,1),(75,1),(76,1)}
        64:{1,3,6,7}:{(51,1),(54,1),(76,1),(91,1)}
        65:{2,5,6}:{(52,1),(53,1),(70,1)}
        66:{2,3,5,7}:{(53,1),(54,1),(56,1),(76,1),(77,1),(78,1)}
        67:{1,3,5,6}:{(55,1),(56,1),(72,1),(77,1),(79,1),(94,1)}
        68:{1,3,4,7}:{(56,1),(78,1),(79,1)}
        69:{1,2,4,5,7}:{(58,1),(63,1),(80,1),(81,1),(87,1),(98,1),(101,1),(104,1)}
        70:{2,4,6}:{(57,1),(58,1),(65,1),(82,1)}
        71:{2,3,5,7}:{(58,1),(60,1),(81,1),(82,1),(83,1),(100,1)}
        72:{1,3,6}:{(59,1),(60,1),(82,1)}
        73:{1,3,4,7}:{(60,1),(62,1),(83,1),(84,1)}
        74:{1,2,4,6}:{(61,1),(62,1),(84,1),(85,1),(88,1)}
        75:{1,2,5,6}:{(63,1),(65,1),(80,1),(86,1),(104,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{2,3,5,6}:{(65,1),(66,1),(67,1),(82,1),(86,1),(88,1),(100,1)}
        78:{2,4,7}:{(66,1),(68,1),(87,1),(88,1)}
        79:{1,3,4,6}:{(67,1),(68,1),(88,1),(89,1)}
        80:{1,2,4,6}:{(69,1),(70,1),(75,1),(91,1),(95,1)}
        81:{1,3,5,7}:{(69,1),(71,1),(91,1),(92,1),(103,1)}
        82:{2,3,6}:{(70,1),(71,1),(72,1),(91,1)}
        83:{2,3,4,7}:{(71,1),(73,1),(78,1),(92,1),(93,1)}
        84:{1,3,4,6}:{(72,1),(73,1),(74,1),(93,1),(94,1)}
        85:{1,2,4,5}:{(74,1),(94,1),(96,1)}
        86:{1,3,5,6}:{(75,1),(76,1),(77,1),(91,1),(95,1),(103,1)}
        87:{1,4,7}:{(76,1),(78,1),(95,1)}
        88:{2,4,6}:{(77,1),(78,1),(79,1),(95,1),(96,1)}
        89:{1,3,4,5}:{(79,1),(94,1),(96,1)}
        90:{1,2,3,5,7}:{(81,1),(97,1),(98,1),(104,1)}
        91:{1,3,6}:{(80,1),(81,1),(82,1)}
        92:{1,3,4,7}:{(81,1),(83,1),(87,1),(98,1),(99,1)}
        93:{2,3,4,6}:{(82,1),(83,1),(84,1),(88,1),(99,1),(100,1)}
        94:{1,3,5}:{(84,1),(85,1),(100,1)}
        95:{1,4,6}:{(86,1),(87,1),(88,1),(101,1)}
        96:{2,4,5}:{(88,1),(89,1),(100,1),(101,1)}
        97:{1,2,3,6}:{(90,1),(91,1),(102,1)}
        98:{1,2,4,7}:{(90,1),(92,1),(102,1)}
        99:{1,3,4,6}:{(91,1),(92,1),(93,1),(95,1),(102,1),(103,1)}
       100:{2,3,5}:{(93,1),(94,1),(96,1),(103,1)}
       101:{1,4,5}:{(95,1),(96,1),(103,1)}
       102:{1,2,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1),(101,1),(104,1)}
       104:{1,2,5}:{(102,1),(103,1)}

2949 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(73,1),(137,1),(138,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(89,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(107,1),(138,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(90,1),(129,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(39,1),(102,1),(126,1),(128,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(76,1),(115,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(48,1),(138,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(37,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(42,1),(63,1),(99,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(128,1),(129,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(48,1),(58,1),(86,1),(110,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(85,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(53,1),(55,1),(85,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(48,1),(114,1),(115,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(36,1),(37,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(35,1),(37,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(35,1),(39,1),(128,1)}
        27:{1,2,3,4,6}:{(20,1),(40,1),(43,1),(69,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(36,1),(41,1),(42,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(37,1),(42,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(40,1),(43,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(41,1),(43,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(42,1),(44,1),(62,1),(98,1),(99,1)}
        33:{1,3,4,5,6,7}:{(35,1),(45,1),(71,1),(105,1)}
        34:{2,3,4,5,6}:{(24,1),(46,1),(47,1),(77,1),(120,1)}
        35:{1,3,4,6,7}:{(25,1),(26,1),(48,1)}
        36:{1,4,5,6}:{(24,1),(28,1),(50,1)}
        37:{2,4,5,7}:{(24,1),(25,1),(29,1),(48,1),(50,1)}
        38:{1,2,3,4,6,7}:{(27,1),(51,1),(56,1),(83,1),(85,1),(117,1)}
        39:{2,3,5,6,7}:{(26,1),(29,1),(48,1),(52,1),(86,1),(114,1)}
        40:{1,2,3,5}:{(27,1),(53,1)}
        41:{1,2,5,6}:{(28,1),(31,1),(55,1)}
        42:{1,3,5,7}:{(28,1),(29,1),(32,1),(50,1),(55,1)}
        43:{1,2,3,6}:{(30,1),(31,1)}
        44:{1,2,4,6,7}:{(31,1),(32,1),(55,1),(56,1),(85,1)}
        45:{2,4,5,6,7}:{(33,1),(48,1),(57,1),(58,1),(86,1),(121,1)}
        46:{1,3,4,5,6}:{(34,1),(36,1),(60,1),(61,1),(64,1),(91,1),(133,1)}
        47:{2,3,4,5,7}:{(34,1),(37,1),(59,1),(61,1),(96,1),(135,1)}
        48:{2,4,6,7}:{(35,1),(37,1),(39,1),(62,1)}
        49:{1,2,4,5,6}:{(36,1),(41,1),(60,1),(64,1),(65,1),(69,1)}
        50:{1,4,5,7}:{(36,1),(37,1),(42,1),(62,1)}
        51:{1,2,3,5,7}:{(38,1),(40,1),(66,1),(67,1),(132,1)}
        52:{1,3,5,6,7}:{(39,1),(42,1),(62,1),(68,1),(98,1)}
        53:{1,2,4,5}:{(40,1),(63,1),(69,1)}
        54:{1,2,3,5,6}:{(40,1),(41,1),(43,1),(64,1),(69,1),(70,1)}
        55:{1,2,5,7}:{(41,1),(42,1),(44,1)}
        56:{1,2,3,6,7}:{(43,1),(44,1),(70,1),(98,1)}
        57:{2,3,5,6,7}:{(45,1),(59,1),(71,1)}
        58:{1,4,5,6,7}:{(45,1),(62,1),(71,1),(134,1)}
        59:{2,3,4,6,7}:{(47,1),(48,1),(57,1),(75,1),(114,1),(121,1)}
        60:{2,4,5,6}:{(46,1),(77,1),(78,1)}
        61:{1,3,4,5,7}:{(46,1),(47,1),(50,1),(75,1),(78,1),(82,1),(112,1),(142,1)}
        62:{1,4,6,7}:{(48,1),(50,1),(52,1)}
        63:{1,3,4,5}:{(53,1),(76,1),(81,1)}
        64:{1,3,5,6}:{(49,1),(77,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(49,1),(50,1),(55,1),(78,1),(80,1),(82,1),(85,1)}
        66:{1,2,4,5,7}:{(51,1),(53,1),(79,1),(83,1),(85,1)}
        67:{1,2,3,5,6}:{(51,1),(83,1),(116,1)}
        68:{1,2,5,6,7}:{(52,1),(55,1),(80,1),(86,1)}
        69:{1,2,4,6}:{(53,1),(54,1),(81,1),(85,1)}
        70:{1,2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        71:{1,3,5,6,7}:{(57,1),(58,1),(75,1),(86,1)}
        72:{1,2,4,5,6,7}:{(58,1),(80,1),(86,1),(87,1),(118,1),(121,1)}
        73:{1,2,3,4,6}:{(88,1),(89,1),(124,1),(125,1)}
        74:{1,2,4,5,6}:{(60,1),(91,1),(92,1),(125,1),(133,1),(143,1)}
        75:{1,3,4,6,7}:{(59,1),(61,1),(62,1),(71,1),(94,1),(98,1),(128,1),(134,1)}
        76:{2,3,4,5}:{(63,1),(90,1),(95,1)}
        77:{2,3,5,6}:{(60,1),(64,1),(91,1),(95,1),(96,1)}
        78:{2,4,5,7}:{(60,1),(61,1),(94,1),(96,1)}
        79:{1,3,4,5,7}:{(63,1),(66,1),(93,1),(97,1),(99,1),(132,1)}
        80:{1,2,4,6,7}:{(62,1),(65,1),(68,1),(94,1),(98,1)}
        81:{1,3,4,6}:{(63,1),(64,1),(69,1),(95,1),(99,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(96,1),(98,1),(99,1)}
        83:{1,2,4,6}:{(66,1),(67,1),(97,1)}
        84:{1,2,3,5,6,7}:{(67,1),(68,1),(70,1),(98,1),(101,1),(103,1),(132,1)}
        85:{1,2,4,7}:{(69,1),(70,1),(99,1)}
        86:{2,5,6,7}:{(71,1),(94,1)}
        87:{1,3,5,6,7}:{(72,1),(98,1),(103,1),(105,1),(132,1)}
        88:{1,2,3,4,7}:{(73,1),(106,1),(138,1)}
        89:{1,2,3,5}:{(73,1),(107,1)}
        90:{1,3,4,5}:{(76,1),(107,1),(111,1)}
        91:{1,3,5,6}:{(74,1),(77,1),(111,1),(112,1)}
        92:{1,2,4,5,7}:{(74,1),(78,1),(110,1),(112,1),(138,1),(142,1),(146,1)}
        93:{2,3,4,5,7}:{(76,1),(79,1),(109,1),(113,1),(115,1),(141,1)}
        94:{2,4,6,7}:{(75,1),(78,1),(86,1),(114,1)}
        95:{2,3,4,6}:{(76,1),(77,1),(81,1),(111,1),(115,1)}
        96:{2,3,5,7}:{(77,1),(78,1),(82,1),(112,1),(114,1),(115,1)}
        97:{1,3,4,6}:{(79,1),(83,1),(113,1),(116,1)}
        98:{1,3,6,7}:{(80,1),(82,1),(114,1)}
        99:{1,3,4,7}:{(81,1),(82,1),(85,1),(115,1)}
       100:{1,2,4,5,6}:{(83,1),(116,1),(118,1),(120,1)}
       101:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(117,1),(118,1),(121,1)}
       102:{1,2,5,6,7}:{(86,1),(110,1),(119,1),(146,1)}
       103:{2,3,5,6,7}:{(86,1),(87,1),(114,1),(119,1),(121,1),(141,1)}
       104:{1,3,4,5,6}:{(116,1),(120,1),(122,1)}
       105:{1,3,4,6,7}:{(87,1),(121,1),(122,1)}
       106:{1,2,3,5,7}:{(88,1),(89,1),(123,1),(124,1)}
       107:{1,2,4,5}:{(89,1),(90,1),(125,1)}
       108:{1,2,3,5,6}:{(89,1),(91,1),(124,1),(125,1),(126,1),(143,1)}
       109:{1,3,4,5,7}:{(90,1),(93,1),(123,1),(127,1),(129,1),(145,1)}
       110:{1,2,4,6,7}:{(92,1),(94,1),(102,1),(128,1),(134,1)}
       111:{1,3,4,6}:{(90,1),(91,1),(95,1),(125,1),(129,1)}
       112:{1,3,5,7}:{(91,1),(92,1),(96,1),(128,1),(129,1)}
       113:{2,3,4,6}:{(93,1),(97,1),(127,1),(130,1)}
       114:{2,3,6,7}:{(94,1),(96,1),(98,1),(128,1)}
       115:{2,3,4,7}:{(95,1),(96,1),(99,1),(129,1)}
       116:{1,3,5,6}:{(97,1),(100,1),(130,1),(132,1)}
       117:{1,3,4,6,7}:{(97,1),(98,1),(99,1),(101,1),(131,1),(132,1)}
       118:{1,2,4,5,7}:{(100,1),(101,1),(132,1),(135,1)}
       119:{1,3,5,6,7}:{(102,1),(103,1),(128,1),(134,1),(145,1)}
       120:{2,4,5,6}:{(104,1),(130,1),(133,1),(135,1)}
       121:{2,4,6,7}:{(103,1),(105,1),(134,1),(135,1)}
       122:{1,3,4,5,7}:{(104,1),(105,1),(132,1),(135,1)}
       123:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(136,1),(138,1),(146,1)}
       124:{1,2,3,6}:{(106,1),(136,1)}
       125:{1,2,4,6}:{(107,1),(108,1),(111,1),(138,1)}
       126:{1,2,3,5,7}:{(108,1),(112,1),(137,1),(138,1),(146,1)}
       127:{1,3,4,6}:{(109,1),(113,1),(136,1),(139,1)}
       128:{1,3,6,7}:{(110,1),(112,1),(114,1)}
       129:{1,3,4,7}:{(111,1),(112,1),(115,1),(138,1)}
       130:{2,3,5,6}:{(113,1),(116,1),(120,1),(139,1),(141,1)}
       131:{2,3,4,6,7}:{(113,1),(114,1),(115,1),(117,1),(121,1),(140,1),(141,1)}
       132:{1,3,5,7}:{(116,1),(117,1),(118,1),(141,1)}
       133:{1,4,5,6}:{(120,1),(139,1),(142,1)}
       134:{1,4,6,7}:{(119,1),(121,1),(142,1)}
       135:{2,4,5,7}:{(120,1),(121,1),(122,1),(141,1),(142,1)}
       136:{1,2,4,6}:{(123,1),(124,1),(127,1),(143,1)}
       137:{1,2,3,6,7}:{(124,1),(126,1),(128,1),(144,1)}
       138:{1,2,4,7}:{(125,1),(126,1),(129,1)}
       139:{1,3,5,6}:{(127,1),(130,1),(133,1),(143,1),(145,1)}
       140:{1,3,4,6,7}:{(127,1),(128,1),(129,1),(131,1),(134,1),(144,1),(145,1)}
       141:{2,3,5,7}:{(130,1),(131,1),(132,1),(135,1),(145,1)}
       142:{1,4,5,7}:{(133,1),(134,1),(135,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(139,1),(146,1)}
       144:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(146,1)}
       145:{1,3,5,7}:{(139,1),(140,1),(141,1),(142,1),(146,1)}
       146:{1,2,5,7}:{(143,1),(144,1),(145,1)}

2950 :   0:{1,3,4,5,6,7}:{(1,1),(7,1),(22,1),(49,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(13,1),(32,1),(67,1)}
         2:{2,3,5,6,7}:{(1,1),(6,1),(7,1),(84,1)}
         3:{1,4,5,6,7}:{(1,1),(7,1),(47,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(50,1),(54,1),(67,1),(94,1)}
         5:{1,2,3,5,6,7}:{(11,1),(27,1),(31,1),(61,1),(62,1),(88,1),(102,1),(128,1),(138,1)}
         6:{2,3,4,6,7}:{(2,1),(9,1),(12,1),(32,1),(62,1),(94,1)}
         7:{1,3,5,6,7}:{(2,1),(3,1),(12,1),(13,1),(103,1)}
         8:{1,2,4,5,6,7}:{(3,1),(13,1),(14,1),(28,1),(29,1),(32,1),(66,1),(102,1),(105,1)}
         9:{2,3,4,5,7}:{(4,1),(6,1),(15,1),(48,1),(69,1)}
        10:{1,3,4,5,6}:{(4,1),(15,1),(16,1),(35,1),(72,1),(87,1),(112,1)}
        11:{1,2,4,6,7}:{(5,1),(17,1),(18,1),(47,1),(78,1),(82,1),(107,1),(133,1)}
        12:{1,3,4,6,7}:{(6,1),(7,1),(15,1),(19,1),(44,1),(47,1),(112,1)}
        13:{2,5,6,7}:{(7,1),(19,1),(118,1)}
        14:{1,3,5,6,7}:{(8,1),(21,1),(22,1),(43,1),(44,1),(83,1),(120,1)}
        15:{1,3,4,5,7}:{(9,1),(10,1),(12,1),(24,1),(51,1),(66,1)}
        16:{2,4,5,6}:{(10,1),(24,1),(25,1),(92,1),(125,1)}
        17:{1,3,4,6,7}:{(11,1),(26,1),(27,1),(58,1),(121,1),(138,1)}
        18:{1,2,4,5,7}:{(11,1),(27,1),(28,1),(57,1),(66,1),(102,1)}
        19:{2,4,6,7}:{(12,1),(13,1),(24,1),(30,1),(125,1)}
        20:{1,2,5,6,7}:{(13,1),(29,1),(31,1),(99,1),(102,1),(128,1)}
        21:{2,3,5,6,7}:{(13,1),(14,1),(30,1),(31,1),(32,1),(61,1),(62,1),(64,1),(102,1),(130,1)}
        22:{1,3,4,6,7}:{(14,1),(32,1),(33,1),(58,1),(131,1)}
        23:{1,2,4,5,6}:{(16,1),(34,1),(35,1),(70,1),(76,1),(87,1),(108,1),(114,1),(118,1),(133,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(19,1),(36,1)}
        25:{2,3,5,6}:{(16,1),(35,1),(36,1),(37,1),(110,1),(134,1)}
        26:{2,3,4,6,7}:{(17,1),(41,1),(42,1),(78,1),(82,1),(109,1),(134,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(42,1),(43,1)}
        28:{1,2,4,5,6}:{(18,1),(43,1),(78,1),(87,1),(118,1),(133,1)}
        29:{1,2,4,6,7}:{(19,1),(20,1),(34,1),(44,1),(47,1),(82,1),(114,1),(133,1)}
        30:{2,3,6,7}:{(19,1),(36,1),(44,1),(134,1)}
        31:{1,3,5,6,7}:{(20,1),(21,1),(44,1),(47,1),(80,1),(83,1),(136,1)}
        32:{2,4,6,7}:{(21,1),(22,1),(47,1),(48,1),(78,1),(137,1)}
        33:{1,3,4,5,7}:{(22,1),(48,1),(49,1),(83,1)}
        34:{1,2,4,5,7}:{(23,1),(24,1),(29,1),(51,1),(66,1),(91,1),(102,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(50,1),(51,1),(52,1),(96,1),(122,1),(126,1),(138,1)}
        36:{2,3,5,7}:{(24,1),(25,1),(30,1),(51,1),(53,1)}
        37:{2,3,4,6}:{(25,1),(52,1),(53,1),(54,1)}
        38:{1,2,3,5,6}:{(50,1),(55,1),(56,1),(96,1),(99,1),(126,1)}
        39:{1,3,4,5,7}:{(27,1),(57,1),(58,1)}
        40:{1,2,3,6,7}:{(55,1),(59,1),(62,1),(126,1)}
        41:{1,3,4,6,7}:{(26,1),(59,1),(60,1),(95,1),(98,1),(126,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(57,1),(60,1),(61,1),(102,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(58,1),(61,1),(138,1)}
        44:{1,3,6,7}:{(29,1),(30,1),(51,1),(62,1),(126,1),(138,1)}
        45:{2,3,4,6,7}:{(30,1),(32,1),(53,1),(63,1),(64,1),(94,1)}
        46:{1,2,3,5,6,7}:{(31,1),(55,1),(62,1),(65,1),(99,1),(102,1),(104,1),(126,1),(130,1)}
        47:{1,4,6,7}:{(31,1),(32,1),(66,1),(98,1),(139,1)}
        48:{2,4,5,7}:{(32,1),(33,1),(64,1),(66,1),(67,1),(102,1)}
        49:{1,3,4,5,6}:{(33,1),(58,1),(67,1),(103,1),(131,1)}
        50:{2,3,5,6}:{(35,1),(69,1),(70,1),(110,1),(118,1),(134,1)}
        51:{1,3,5,7}:{(34,1),(35,1),(36,1),(44,1),(69,1),(71,1)}
        52:{1,3,4,6}:{(35,1),(37,1),(70,1),(71,1),(72,1)}
        53:{2,3,4,7}:{(36,1),(37,1),(71,1)}
        54:{2,3,4,5}:{(37,1),(72,1),(110,1)}
        55:{1,2,3,5,7}:{(38,1),(40,1),(69,1),(75,1),(79,1),(113,1)}
        56:{1,2,4,6}:{(38,1),(70,1),(74,1),(75,1),(76,1)}
        57:{2,4,5,7}:{(39,1),(42,1),(77,1),(78,1)}
        58:{1,3,4,6}:{(39,1),(43,1),(78,1)}
        59:{1,2,4,6,7}:{(40,1),(41,1),(75,1),(79,1),(82,1),(114,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(77,1),(79,1),(80,1)}
        61:{2,3,5,6}:{(42,1),(43,1),(78,1),(80,1),(118,1),(134,1)}
        62:{2,3,6,7}:{(44,1),(69,1),(82,1),(134,1)}
        63:{1,3,4,6,7}:{(44,1),(45,1),(47,1),(71,1),(82,1),(83,1),(112,1)}
        64:{2,3,5,7}:{(45,1),(48,1),(83,1),(84,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(75,1),(82,1),(85,1),(86,1),(114,1),(137,1)}
        66:{1,4,5,7}:{(47,1),(48,1),(83,1),(87,1)}
        67:{2,4,5,6}:{(48,1),(49,1),(78,1),(84,1),(87,1),(118,1),(137,1)}
        68:{1,2,3,5,6}:{(50,1),(88,1),(89,1),(122,1),(128,1),(138,1)}
        69:{2,3,5,7}:{(50,1),(51,1),(62,1),(91,1),(102,1)}
        70:{2,4,6}:{(50,1),(52,1),(91,1),(92,1)}
        71:{1,3,4,7}:{(51,1),(52,1),(53,1),(91,1)}
        72:{1,3,4,5}:{(52,1),(54,1),(92,1),(96,1),(122,1)}
        73:{2,3,4,5,7}:{(53,1),(54,1),(57,1),(64,1),(93,1),(94,1),(124,1),(129,1)}
        74:{1,3,4,6}:{(56,1),(90,1),(95,1),(96,1),(126,1)}
        75:{1,2,4,7}:{(55,1),(56,1),(91,1),(95,1)}
        76:{1,2,4,5}:{(56,1),(92,1),(96,1)}
        77:{1,4,5,7}:{(57,1),(60,1),(98,1)}
        78:{2,4,6}:{(57,1),(58,1),(61,1),(98,1)}
        79:{1,2,5,7}:{(59,1),(60,1),(99,1),(102,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(98,1),(99,1),(126,1)}
        81:{1,2,3,6,7}:{(62,1),(88,1),(100,1),(138,1)}
        82:{2,4,6,7}:{(62,1),(63,1),(91,1),(102,1),(125,1)}
        83:{1,3,5,7}:{(63,1),(64,1),(66,1),(102,1),(103,1)}
        84:{2,3,5,6}:{(64,1),(67,1),(94,1),(103,1)}
        85:{1,3,4,6,7}:{(65,1),(95,1),(101,1),(104,1),(126,1),(131,1)}
        86:{1,2,4,5,7}:{(65,1),(66,1),(102,1),(104,1),(105,1),(129,1)}
        87:{1,4,5,6}:{(66,1),(67,1),(98,1),(103,1),(139,1)}
        88:{1,2,3,5,7}:{(68,1),(69,1),(81,1),(107,1),(116,1),(132,1)}
        89:{1,2,4,6}:{(68,1),(70,1),(106,1),(107,1),(108,1)}
        90:{2,3,4,6}:{(70,1),(74,1),(106,1),(109,1),(110,1),(134,1)}
        91:{2,4,7}:{(69,1),(70,1),(71,1)}
        92:{2,4,5}:{(70,1),(72,1),(110,1)}
        93:{1,3,4,5,7}:{(71,1),(72,1),(73,1),(77,1),(83,1),(111,1),(112,1),(113,1),(132,1),(135,1)}
        94:{2,3,4,6}:{(73,1),(78,1),(84,1),(112,1),(134,1),(137,1)}
        95:{1,3,4,7}:{(74,1),(75,1),(109,1),(113,1)}
        96:{1,3,5}:{(74,1),(76,1),(110,1)}
        97:{1,2,4,5,7}:{(75,1),(76,1),(77,1),(79,1),(111,1),(113,1),(114,1)}
        98:{1,4,6}:{(77,1),(78,1),(80,1)}
        99:{1,2,5,6}:{(79,1),(80,1),(114,1),(118,1)}
       100:{1,2,4,6,7}:{(81,1),(82,1),(107,1),(115,1),(116,1),(133,1)}
       101:{2,3,4,6,7}:{(82,1),(85,1),(109,1),(115,1),(117,1),(134,1),(137,1)}
       102:{2,5,7}:{(82,1),(83,1),(118,1)}
       103:{1,3,5,6}:{(83,1),(84,1),(87,1),(112,1),(118,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(120,1)}
       105:{1,2,4,5,6}:{(86,1),(87,1),(114,1),(118,1),(120,1),(137,1)}
       106:{1,3,4,6}:{(89,1),(90,1),(121,1),(122,1),(138,1)}
       107:{1,2,4,7}:{(88,1),(89,1),(91,1),(121,1)}
       108:{1,2,4,5}:{(89,1),(92,1),(122,1)}
       109:{2,3,4,7}:{(90,1),(91,1),(95,1),(121,1),(124,1)}
       110:{2,3,5}:{(90,1),(92,1),(96,1),(122,1)}
       111:{2,4,5,7}:{(91,1),(92,1),(93,1),(102,1),(124,1),(125,1)}
       112:{1,3,4,6}:{(93,1),(94,1),(98,1),(103,1),(125,1),(126,1),(138,1),(139,1)}
       113:{1,3,5,7}:{(95,1),(96,1),(97,1),(124,1),(126,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(125,1),(126,1)}
       115:{1,3,4,6,7}:{(100,1),(101,1),(121,1),(127,1),(138,1),(139,1)}
       116:{1,2,5,7}:{(100,1),(102,1),(127,1),(128,1)}
       117:{2,3,5,7}:{(101,1),(102,1),(104,1),(127,1),(129,1),(130,1)}
       118:{2,5,6}:{(102,1),(103,1),(125,1)}
       119:{1,3,4,5,7}:{(104,1),(129,1),(131,1)}
       120:{1,3,5,6}:{(104,1),(105,1),(126,1),(130,1),(131,1)}
       121:{1,3,4,7}:{(106,1),(107,1),(109,1),(132,1)}
       122:{1,3,5}:{(106,1),(108,1),(110,1)}
       123:{1,2,4,5,7}:{(107,1),(108,1),(111,1),(116,1),(132,1),(133,1),(135,1)}
       124:{2,3,5,7}:{(109,1),(110,1),(111,1),(113,1),(132,1),(134,1)}
       125:{2,4,6}:{(111,1),(112,1),(118,1),(134,1)}
       126:{1,3,6}:{(113,1),(114,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(135,1),(136,1)}
       128:{1,2,5,6}:{(116,1),(118,1),(133,1),(136,1)}
       129:{2,4,5,7}:{(117,1),(119,1),(135,1),(137,1)}
       130:{2,3,5,6}:{(117,1),(118,1),(120,1),(134,1),(136,1),(137,1)}
       131:{1,3,4,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,5,7}:{(121,1),(122,1),(123,1),(124,1),(138,1)}
       133:{1,2,4,6}:{(123,1),(125,1),(128,1),(138,1),(139,1)}
       134:{2,3,6}:{(124,1),(125,1),(126,1),(138,1)}
       135:{1,4,5,7}:{(127,1),(129,1),(139,1)}
       136:{1,3,5,6}:{(127,1),(128,1),(130,1),(138,1),(139,1)}
       137:{2,4,6}:{(129,1),(130,1),(131,1),(139,1)}
       138:{1,3,6}:{(132,1),(133,1),(134,1)}
       139:{1,4,6}:{(135,1),(136,1),(137,1)}

2951 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(101,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(93,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(95,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(72,1),(95,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(72,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(49,1),(81,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(45,1),(84,1),(98,1),(100,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(55,1),(84,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(55,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(58,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(92,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(62,1),(69,1),(89,1),(92,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(44,1),(45,1),(74,1),(96,1),(98,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(45,1),(46,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(47,1),(81,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(47,1),(48,1),(80,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(45,1),(49,1),(50,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(46,1),(50,1),(51,1)}
        35:{1,2,5,6,7}:{(21,1),(48,1),(52,1),(55,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(49,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(50,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(51,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(55,1),(56,1)}
        41:{1,2,3,6}:{(27,1),(56,1)}
        42:{1,2,3,5,6}:{(29,1),(57,1),(58,1),(60,1),(88,1),(102,1)}
        43:{1,2,3,4,6}:{(58,1),(59,1),(60,1),(88,1)}
        44:{1,2,4,6,7}:{(28,1),(32,1),(61,1),(62,1),(89,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(63,1)}
        46:{1,3,4,6}:{(29,1),(34,1),(58,1),(63,1),(64,1)}
        47:{1,4,5,6,7}:{(30,1),(31,1),(65,1),(69,1),(89,1)}
        48:{2,5,6,7}:{(31,1),(32,1)}
        49:{2,3,6,7}:{(32,1),(33,1),(36,1),(62,1)}
        50:{2,3,4,7}:{(33,1),(34,1),(37,1),(63,1)}
        51:{2,3,4,5}:{(34,1),(38,1),(64,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(66,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(67,1),(69,1),(70,1),(71,1)}
        54:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(39,1),(70,1),(72,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(71,1),(72,1)}
        57:{1,2,3,5,7}:{(42,1),(45,1),(73,1),(74,1),(96,1)}
        58:{1,2,4,6}:{(42,1),(46,1),(74,1),(75,1)}
        59:{1,2,3,4,7}:{(43,1),(74,1),(76,1)}
        60:{1,2,3,5}:{(43,1),(75,1)}
        61:{1,2,5,6,7}:{(44,1),(48,1),(77,1),(96,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1)}
        63:{1,3,4,7}:{(45,1),(46,1),(50,1),(74,1)}
        64:{1,3,4,5}:{(46,1),(51,1),(75,1)}
        65:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1)}
        66:{2,3,5,6,7}:{(48,1),(49,1),(52,1),(77,1),(80,1),(81,1),(82,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(78,1),(81,1),(82,1),(83,1)}
        68:{2,3,4,5,7}:{(50,1),(51,1),(54,1),(79,1),(82,1),(83,1)}
        69:{1,4,6,7}:{(52,1),(81,1),(84,1)}
        70:{1,3,5,7}:{(53,1),(55,1),(82,1),(84,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(83,1),(85,1)}
        72:{1,2,5,6}:{(55,1),(56,1),(85,1)}
        73:{1,2,3,6,7}:{(57,1),(62,1),(86,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(63,1)}
        75:{1,2,4,5}:{(58,1),(60,1),(64,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(87,1),(88,1)}
        77:{1,3,5,6,7}:{(61,1),(62,1),(66,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(62,1),(63,1),(67,1),(86,1),(89,1),(90,1),(91,1)}
        79:{1,3,4,5,7}:{(63,1),(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{3,5,6,7}:{(65,1),(92,1)}
        81:{2,4,6,7}:{(66,1),(69,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(67,1),(70,1),(90,1),(93,1),(94,1)}
        83:{2,3,4,6}:{(68,1),(71,1),(91,1),(94,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(93,1),(95,1)}
        85:{1,3,5,6}:{(70,1),(71,1),(72,1),(94,1),(95,1)}
        86:{1,2,4,6,7}:{(73,1),(74,1),(78,1),(96,1),(97,1)}
        87:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(79,1),(96,1),(97,1)}
        88:{1,2,3,6}:{(76,1),(97,1)}
        89:{1,4,6,7}:{(77,1),(81,1),(98,1)}
        90:{1,3,5,7}:{(78,1),(82,1),(96,1),(98,1),(99,1)}
        91:{1,3,4,6}:{(79,1),(83,1),(97,1),(99,1)}
        92:{3,4,6,7}:{(80,1),(81,1),(100,1)}
        93:{2,4,5,7}:{(81,1),(82,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5,6}:{(82,1),(83,1),(85,1),(99,1),(101,1)}
        95:{1,4,5,6}:{(84,1),(85,1),(101,1)}
        96:{1,2,5,7}:{(86,1),(90,1),(102,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(93,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(104,1)}
       101:{2,4,5,6}:{(93,1),(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,5,6}:{(96,1),(97,1),(99,1)}
       103:{1,4,5,6}:{(98,1),(99,1),(101,1)}
       104:{3,4,5,6}:{(100,1),(101,1)}

2952 :   0:{1,3,4,5,6,7}:{(2,1),(9,1),(12,1),(28,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(17,1),(21,1),(22,1),(39,1),(45,1),(46,1),(81,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(17,1),(21,1),(44,1)}
         3:{1,2,3,5,6,7}:{(7,1),(18,1),(23,1),(52,1),(81,1),(82,1),(109,1),(110,1),(130,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(36,1),(56,1),(61,1),(65,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(12,1),(60,1)}
         6:{1,4,5,6,7}:{(2,1),(12,1),(30,1),(63,1)}
         7:{1,2,4,6,7}:{(3,1),(13,1),(14,1),(30,1),(62,1),(68,1),(120,1),(123,1)}
         8:{1,2,3,5,6,7}:{(15,1),(18,1),(40,1),(75,1),(81,1),(82,1),(89,1),(90,1),(117,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(50,1),(73,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(18,1),(21,1),(42,1),(49,1),(52,1),(75,1),(81,1),(82,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(20,1),(78,1),(82,1)}
        12:{1,3,5,6,7}:{(5,1),(6,1),(20,1),(21,1),(80,1)}
        13:{1,2,4,5,7}:{(7,1),(22,1),(23,1),(45,1),(51,1),(81,1)}
        14:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(50,1),(130,1),(131,1)}
        15:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(62,1),(91,1),(103,1),(106,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(61,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(29,1),(30,1),(68,1),(91,1)}
        18:{1,3,5,6,7}:{(10,1),(30,1),(31,1),(61,1),(65,1),(70,1),(93,1)}
        19:{2,3,4,5,7}:{(11,1),(29,1),(32,1),(33,1),(99,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(30,1),(33,1),(34,1),(65,1),(96,1)}
        21:{2,5,6,7}:{(12,1),(34,1),(98,1)}
        22:{1,2,4,5,6}:{(13,1),(36,1),(63,1),(68,1),(98,1),(120,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(36,1),(37,1)}
        24:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(62,1),(68,1),(124,1),(125,1)}
        25:{1,2,4,5,7}:{(15,1),(39,1),(40,1),(45,1),(74,1),(81,1)}
        26:{1,3,4,6,7}:{(15,1),(40,1),(41,1),(73,1),(117,1),(118,1)}
        27:{2,3,4,6,7}:{(17,1),(42,1),(43,1),(49,1),(78,1),(86,1)}
        28:{1,3,4,5,6}:{(16,1),(44,1),(50,1),(73,1),(80,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(42,1),(44,1),(45,1),(81,1)}
        30:{1,4,6,7}:{(17,1),(18,1),(45,1),(87,1),(107,1)}
        31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(81,1),(89,1),(109,1)}
        32:{2,3,4,5,6}:{(19,1),(44,1),(47,1),(78,1),(113,1),(116,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(45,1),(47,1),(48,1),(84,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(48,1),(49,1),(111,1)}
        35:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(130,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(51,1),(52,1),(53,1),(81,1)}
        38:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(117,1),(118,1)}
        39:{1,2,4,5,6}:{(25,1),(56,1),(63,1),(91,1),(98,1),(103,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(26,1),(57,1),(58,1),(62,1),(91,1),(124,1),(125,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(27,1),(30,1),(61,1),(62,1),(65,1),(96,1),(101,1)}
        44:{2,4,5,6}:{(28,1),(29,1),(60,1),(63,1),(68,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(29,1),(30,1),(61,1),(63,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(62,1),(64,1),(65,1),(103,1),(120,1)}
        47:{1,3,4,5,6}:{(32,1),(33,1),(63,1),(66,1),(96,1),(100,1),(127,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(34,1),(65,1),(67,1),(124,1)}
        50:{1,3,4,6}:{(35,1),(36,1),(68,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(68,1),(70,1),(98,1),(124,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,2,4,6,7}:{(38,1),(62,1),(71,1),(72,1),(103,1),(106,1)}
        55:{1,3,4,5,7}:{(40,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(117,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(74,1),(75,1),(76,1),(81,1)}
        58:{1,3,4,6,7}:{(41,1),(76,1),(77,1),(107,1),(130,1),(131,1)}
        59:{2,3,4,5,7}:{(42,1),(51,1),(74,1),(78,1),(79,1),(86,1),(112,1),(116,1)}
        60:{2,3,5,6}:{(42,1),(44,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(45,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(81,1),(82,1),(111,1),(114,1)}
        63:{1,4,5,6}:{(44,1),(45,1),(80,1),(87,1),(107,1)}
        64:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1),(84,1),(114,1)}
        65:{1,3,6,7}:{(46,1),(49,1),(82,1),(84,1),(117,1),(130,1)}
        66:{2,4,5,6}:{(47,1),(48,1),(85,1),(111,1),(134,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(84,1),(85,1),(86,1)}
        68:{2,4,6}:{(50,1),(51,1),(52,1),(87,1)}
        69:{1,4,5,7}:{(51,1),(53,1),(87,1)}
        70:{1,3,5,6}:{(52,1),(53,1),(87,1),(89,1),(117,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(81,1),(89,1)}
        72:{1,2,3,6,7}:{(54,1),(82,1),(90,1),(117,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(91,1)}
        74:{2,4,5,7}:{(55,1),(57,1),(91,1),(92,1)}
        75:{2,3,5,6}:{(56,1),(57,1),(91,1),(93,1),(98,1),(124,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(92,1),(93,1),(94,1)}
        77:{1,2,4,6,7}:{(58,1),(62,1),(94,1),(95,1),(120,1),(123,1)}
        78:{2,3,4,6}:{(59,1),(60,1),(68,1),(91,1),(96,1),(124,1)}
        79:{1,3,4,5,7}:{(59,1),(61,1),(69,1),(92,1),(96,1),(97,1),(101,1),(104,1),(121,1),(127,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(63,1),(96,1),(98,1)}
        81:{2,5,7}:{(61,1),(62,1),(98,1)}
        82:{2,3,6,7}:{(62,1),(65,1),(99,1),(124,1)}
        83:{1,2,4,5,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(103,1),(120,1),(126,1),(129,1),(137,1)}
        84:{1,3,5,7}:{(64,1),(65,1),(67,1),(99,1),(100,1),(101,1)}
        85:{2,3,5,6}:{(66,1),(67,1),(100,1),(102,1),(124,1),(138,1)}
        86:{2,3,4,7}:{(67,1),(101,1),(102,1)}
        87:{1,4,6}:{(68,1),(69,1),(70,1)}
        88:{1,2,4,5,7}:{(69,1),(71,1),(97,1),(103,1),(104,1),(106,1),(129,1)}
        89:{1,2,5,6}:{(70,1),(71,1),(98,1),(103,1)}
        90:{1,2,3,5,7}:{(71,1),(72,1),(99,1),(104,1),(105,1),(106,1)}
        91:{2,4,6}:{(73,1),(74,1),(75,1),(107,1)}
        92:{1,4,5,7}:{(74,1),(76,1),(107,1)}
        93:{1,3,5,6}:{(75,1),(76,1),(107,1),(109,1),(130,1)}
        94:{1,2,5,7}:{(76,1),(77,1),(81,1),(109,1)}
        95:{1,2,3,6,7}:{(77,1),(82,1),(110,1),(130,1)}
        96:{1,3,4,6}:{(78,1),(79,1),(80,1),(87,1),(107,1),(111,1),(117,1),(130,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(111,1),(112,1),(114,1),(134,1)}
        98:{2,5,6}:{(80,1),(81,1),(111,1)}
        99:{2,3,5,7}:{(81,1),(82,1),(84,1),(113,1),(114,1)}
       100:{1,3,5,6}:{(83,1),(84,1),(85,1),(113,1),(115,1),(117,1),(130,1),(135,1),(139,1)}
       101:{1,3,4,7}:{(84,1),(86,1),(114,1),(115,1)}
       102:{2,3,4,6}:{(85,1),(86,1),(115,1),(116,1)}
       103:{1,2,4,6}:{(87,1),(88,1),(89,1),(111,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(112,1),(117,1),(118,1),(135,1)}
       105:{1,2,3,5,6}:{(89,1),(90,1),(113,1),(117,1),(119,1),(135,1)}
       106:{1,2,4,7}:{(90,1),(114,1),(118,1),(119,1)}
       107:{1,4,6}:{(91,1),(92,1),(93,1)}
       108:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(120,1),(121,1),(123,1),(137,1)}
       109:{1,2,5,6}:{(93,1),(94,1),(98,1),(120,1)}
       110:{1,2,3,5,7}:{(94,1),(95,1),(99,1),(121,1),(122,1),(123,1)}
       111:{2,4,6}:{(96,1),(97,1),(98,1),(124,1)}
       112:{2,3,5,7}:{(97,1),(104,1),(121,1),(124,1),(125,1),(138,1)}
       113:{2,3,5,6}:{(98,1),(99,1),(100,1),(124,1),(126,1),(138,1)}
       114:{2,4,7}:{(99,1),(101,1),(126,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{2,3,4,5}:{(102,1),(127,1),(138,1)}
       117:{1,3,6}:{(103,1),(104,1),(124,1)}
       118:{1,3,4,7}:{(104,1),(106,1),(125,1),(128,1)}
       119:{1,2,4,6}:{(105,1),(106,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(130,1)}
       121:{1,3,5,7}:{(108,1),(112,1),(130,1),(131,1),(139,1)}
       122:{1,2,3,5,6}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(114,1),(131,1),(132,1)}
       124:{2,3,6}:{(111,1),(112,1),(117,1),(130,1)}
       125:{2,3,4,7}:{(112,1),(114,1),(118,1),(131,1),(133,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(134,1)}
       127:{1,3,4,5}:{(115,1),(116,1),(134,1),(135,1),(139,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(119,1),(133,1),(135,1)}
       129:{1,2,4,5}:{(119,1),(134,1),(135,1)}
       130:{1,3,6}:{(120,1),(121,1),(124,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(125,1),(136,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(126,1),(136,1),(137,1)}
       133:{2,3,4,6}:{(124,1),(125,1),(126,1),(128,1),(136,1),(138,1)}
       134:{2,4,5}:{(126,1),(127,1),(138,1)}
       135:{1,3,5}:{(128,1),(129,1),(138,1)}
       136:{1,3,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       137:{1,2,4,5}:{(132,1),(134,1),(139,1)}
       138:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,5}:{(136,1),(137,1),(138,1)}

2953 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2954 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(21,1),(46,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(31,1),(65,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(86,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(44,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(58,1),(60,1),(65,1),(104,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(31,1),(61,1),(104,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(108,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(28,1),(31,1),(35,1),(55,1),(64,1),(107,1)}
         8:{1,2,3,5,6,7}:{(14,1),(30,1),(34,1),(61,1),(72,1),(95,1),(107,1),(132,1),(139,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(45,1),(79,1)}
        10:{1,3,4,5,6}:{(4,1),(16,1),(17,1),(40,1),(83,1),(87,1),(123,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(16,1),(18,1),(42,1),(44,1),(123,1)}
        12:{2,5,6,7}:{(6,1),(18,1),(125,1)}
        13:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(42,1),(52,1),(78,1),(85,1)}
        14:{1,2,4,6,7}:{(8,1),(22,1),(23,1),(44,1),(84,1),(90,1),(114,1),(137,1)}
        15:{1,2,3,5,6,7}:{(24,1),(30,1),(54,1),(61,1),(66,1),(101,1),(107,1),(113,1),(135,1)}
        16:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(25,1),(56,1),(64,1)}
        17:{2,4,5,6}:{(10,1),(25,1),(27,1),(106,1),(134,1)}
        18:{2,4,6,7}:{(11,1),(12,1),(25,1),(29,1),(134,1)}
        19:{1,2,5,6,7}:{(12,1),(28,1),(30,1),(107,1),(113,1),(132,1)}
        20:{2,3,5,6,7}:{(12,1),(13,1),(29,1),(30,1),(31,1),(61,1),(63,1),(72,1),(101,1),(107,1)}
        21:{1,3,4,6,7}:{(13,1),(31,1),(32,1),(68,1),(97,1)}
        22:{1,3,4,6,7}:{(14,1),(33,1),(34,1),(68,1),(128,1),(139,1)}
        23:{1,2,4,5,7}:{(14,1),(34,1),(35,1),(64,1),(67,1),(107,1)}
        24:{1,2,4,6,7}:{(15,1),(36,1),(37,1),(44,1),(84,1),(88,1),(116,1),(127,1)}
        25:{2,4,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        26:{1,2,4,5,6}:{(17,1),(38,1),(40,1),(82,1),(87,1),(92,1),(118,1),(125,1),(127,1),(137,1)}
        27:{2,3,5,6}:{(17,1),(39,1),(40,1),(41,1),(124,1),(138,1)}
        28:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(42,1),(44,1),(84,1),(127,1),(137,1)}
        29:{2,3,6,7}:{(18,1),(39,1),(42,1),(138,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(42,1),(44,1),(85,1),(94,1),(120,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(90,1),(116,1)}
        32:{1,3,4,5,7}:{(21,1),(45,1),(46,1),(85,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(84,1),(90,1),(121,1),(138,1)}
        34:{1,3,5,7}:{(22,1),(23,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(23,1),(52,1),(87,1),(90,1),(125,1),(137,1)}
        36:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(97,1),(109,1),(135,1)}
        37:{1,2,4,5,7}:{(24,1),(54,1),(55,1),(64,1),(96,1),(107,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(56,1),(64,1),(102,1),(107,1)}
        39:{2,3,5,7}:{(25,1),(27,1),(29,1),(56,1),(57,1)}
        40:{1,3,5,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(112,1),(131,1),(135,1),(139,1)}
        41:{2,3,4,6}:{(27,1),(57,1),(59,1),(60,1)}
        42:{1,3,6,7}:{(28,1),(29,1),(56,1),(61,1),(135,1),(139,1)}
        43:{2,3,4,6,7}:{(29,1),(31,1),(57,1),(62,1),(63,1),(104,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(64,1),(111,1),(130,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(107,1)}
        46:{1,3,4,5,6}:{(32,1),(65,1),(68,1),(97,1),(108,1)}
        47:{1,3,4,5,7}:{(34,1),(67,1),(68,1)}
        48:{1,2,3,5,6}:{(58,1),(66,1),(69,1),(112,1),(113,1),(135,1)}
        49:{1,2,3,6,7}:{(61,1),(66,1),(70,1),(135,1)}
        50:{1,3,4,6,7}:{(33,1),(70,1),(71,1),(109,1),(111,1),(135,1)}
        51:{2,3,5,7}:{(33,1),(34,1),(67,1),(71,1),(72,1),(107,1)}
        52:{1,3,5,6}:{(34,1),(35,1),(68,1),(72,1),(139,1)}
        53:{2,3,4,6,7}:{(36,1),(76,1),(77,1),(84,1),(116,1),(121,1),(138,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(77,1),(78,1)}
        55:{1,2,4,5,6}:{(37,1),(78,1),(87,1),(116,1),(125,1),(127,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(42,1),(79,1),(80,1)}
        57:{2,3,4,7}:{(39,1),(41,1),(80,1)}
        58:{2,3,5,6}:{(40,1),(79,1),(82,1),(124,1),(125,1),(138,1)}
        59:{1,3,4,6}:{(40,1),(41,1),(80,1),(82,1),(83,1)}
        60:{2,3,4,5}:{(41,1),(83,1),(124,1)}
        61:{2,3,6,7}:{(42,1),(79,1),(84,1),(138,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(44,1),(80,1),(84,1),(85,1),(123,1)}
        63:{2,3,5,7}:{(43,1),(45,1),(85,1),(86,1)}
        64:{1,4,5,7}:{(44,1),(45,1),(85,1),(87,1)}
        65:{2,4,5,6}:{(45,1),(46,1),(86,1),(87,1),(90,1),(116,1),(125,1)}
        66:{1,2,3,5,7}:{(48,1),(49,1),(79,1),(88,1),(93,1),(126,1)}
        67:{2,4,5,7}:{(47,1),(51,1),(89,1),(90,1)}
        68:{1,3,4,6}:{(47,1),(52,1),(90,1)}
        69:{1,2,4,6}:{(48,1),(82,1),(88,1),(91,1),(92,1)}
        70:{1,2,4,6,7}:{(49,1),(50,1),(84,1),(88,1),(93,1),(127,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(89,1),(93,1),(94,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(90,1),(94,1),(125,1),(138,1)}
        73:{1,3,4,5,7}:{(54,1),(96,1),(97,1)}
        74:{1,2,3,5,6}:{(58,1),(95,1),(98,1),(131,1),(132,1),(139,1)}
        75:{1,2,3,6,7}:{(61,1),(95,1),(99,1),(139,1)}
        76:{1,3,4,6,7}:{(53,1),(99,1),(100,1),(128,1),(130,1),(139,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(96,1),(100,1),(101,1),(107,1)}
        78:{1,3,5,6}:{(54,1),(55,1),(97,1),(101,1),(135,1)}
        79:{2,3,5,7}:{(56,1),(58,1),(61,1),(102,1),(107,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(102,1)}
        81:{2,3,4,5,7}:{(57,1),(60,1),(63,1),(67,1),(96,1),(103,1),(104,1),(133,1)}
        82:{2,4,6}:{(58,1),(59,1),(102,1),(106,1)}
        83:{1,3,4,5}:{(59,1),(60,1),(106,1),(112,1),(131,1)}
        84:{2,4,6,7}:{(61,1),(62,1),(102,1),(107,1),(134,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(64,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(63,1),(65,1),(104,1),(108,1)}
        87:{1,4,5,6}:{(64,1),(65,1),(108,1),(111,1),(130,1)}
        88:{1,2,4,7}:{(66,1),(69,1),(102,1),(109,1)}
        89:{1,4,5,7}:{(67,1),(71,1),(111,1)}
        90:{2,4,6}:{(67,1),(68,1),(72,1),(111,1)}
        91:{1,3,4,6}:{(69,1),(105,1),(109,1),(112,1),(135,1)}
        92:{1,2,4,5}:{(69,1),(106,1),(112,1)}
        93:{1,2,5,7}:{(70,1),(71,1),(107,1),(113,1)}
        94:{1,3,5,6}:{(71,1),(72,1),(111,1),(113,1),(135,1)}
        95:{1,2,3,5,7}:{(74,1),(75,1),(79,1),(114,1),(119,1),(136,1)}
        96:{2,4,5,7}:{(73,1),(77,1),(115,1),(116,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(116,1)}
        98:{1,2,4,6}:{(74,1),(82,1),(114,1),(117,1),(118,1)}
        99:{1,2,4,6,7}:{(75,1),(76,1),(84,1),(114,1),(119,1),(137,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(115,1),(119,1),(120,1)}
       101:{2,3,5,6}:{(77,1),(78,1),(116,1),(120,1),(125,1),(138,1)}
       102:{2,4,7}:{(79,1),(80,1),(82,1)}
       103:{1,3,4,5,7}:{(80,1),(81,1),(83,1),(85,1),(89,1),(115,1),(122,1),(123,1),(126,1),(136,1)}
       104:{2,3,4,6}:{(81,1),(86,1),(90,1),(116,1),(123,1),(138,1)}
       105:{2,3,4,6}:{(82,1),(91,1),(117,1),(121,1),(124,1),(138,1)}
       106:{2,4,5}:{(82,1),(83,1),(124,1)}
       107:{2,5,7}:{(84,1),(85,1),(125,1)}
       108:{1,3,5,6}:{(85,1),(86,1),(87,1),(123,1),(125,1)}
       109:{1,3,4,7}:{(88,1),(91,1),(121,1),(126,1)}
       110:{1,2,4,5,7}:{(88,1),(89,1),(92,1),(93,1),(122,1),(126,1),(127,1)}
       111:{1,4,6}:{(89,1),(90,1),(94,1)}
       112:{1,3,5}:{(91,1),(92,1),(124,1)}
       113:{1,2,5,6}:{(93,1),(94,1),(125,1),(127,1)}
       114:{1,2,4,7}:{(95,1),(98,1),(102,1),(128,1)}
       115:{1,4,5,7}:{(96,1),(100,1),(130,1)}
       116:{2,4,6}:{(96,1),(97,1),(101,1),(130,1)}
       117:{1,3,4,6}:{(98,1),(105,1),(128,1),(131,1),(139,1)}
       118:{1,2,4,5}:{(98,1),(106,1),(131,1)}
       119:{1,2,5,7}:{(99,1),(100,1),(107,1),(132,1)}
       120:{1,3,5,6}:{(100,1),(101,1),(130,1),(132,1),(139,1)}
       121:{2,3,4,7}:{(102,1),(105,1),(109,1),(128,1),(133,1)}
       122:{2,4,5,7}:{(102,1),(103,1),(106,1),(107,1),(133,1),(134,1)}
       123:{1,3,4,6}:{(103,1),(104,1),(108,1),(111,1),(130,1),(134,1),(135,1),(139,1)}
       124:{2,3,5}:{(105,1),(106,1),(112,1),(131,1)}
       125:{2,5,6}:{(107,1),(108,1),(134,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(112,1),(133,1),(135,1)}
       127:{1,2,4,6}:{(110,1),(111,1),(113,1),(134,1),(135,1)}
       128:{1,3,4,7}:{(114,1),(117,1),(121,1),(136,1)}
       129:{1,2,4,5,7}:{(114,1),(115,1),(118,1),(119,1),(122,1),(136,1),(137,1)}
       130:{1,4,6}:{(115,1),(116,1),(120,1)}
       131:{1,3,5}:{(117,1),(118,1),(124,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(125,1),(137,1)}
       133:{2,3,5,7}:{(121,1),(122,1),(124,1),(126,1),(136,1),(138,1)}
       134:{2,4,6}:{(122,1),(123,1),(125,1),(138,1)}
       135:{1,3,6}:{(126,1),(127,1),(138,1)}
       136:{1,3,5,7}:{(128,1),(129,1),(131,1),(133,1),(139,1)}
       137:{1,2,4,6}:{(129,1),(130,1),(132,1),(134,1),(139,1)}
       138:{2,3,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,6}:{(136,1),(137,1),(138,1)}

2955 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(20,1),(112,1),(113,1),(139,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(29,1),(129,1)}
         2:{1,2,3,4,6,7}:{(5,1),(16,1),(36,1),(84,1),(85,1),(121,1)}
         3:{1,2,3,5,6}:{(1,1),(7,1),(19,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(139,1),(140,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(50,1),(105,1)}
         6:{1,2,3,5,6,7}:{(3,1),(12,1),(29,1),(60,1),(126,1),(127,1),(144,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(145,1),(146,1)}
         9:{1,2,3,5,6}:{(5,1),(16,1),(35,1)}
        10:{1,2,4,5,7}:{(5,1),(16,1),(17,1),(121,1),(122,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(41,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(78,1),(139,1)}
        13:{1,3,4,6}:{(7,1),(8,1),(19,1),(21,1)}
        14:{2,3,4,5,7}:{(8,1),(21,1),(22,1),(43,1),(142,1),(143,1)}
        15:{1,2,3,5,6,7}:{(9,1),(24,1),(50,1),(89,1),(102,1),(103,1),(133,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(25,1)}
        17:{1,3,4,5,7}:{(10,1),(25,1),(26,1),(50,1),(134,1),(135,1)}
        18:{1,2,4,5,7}:{(11,1),(12,1),(29,1),(58,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(29,1),(30,1)}
        20:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(31,1),(144,1),(145,1)}
        21:{2,3,4,6}:{(13,1),(14,1),(30,1),(32,1)}
        22:{1,3,4,5,7}:{(14,1),(32,1),(33,1),(61,1),(134,1),(135,1)}
        23:{1,2,4,5,6}:{(16,1),(34,1),(35,1),(67,1)}
        24:{1,2,4,6,7}:{(15,1),(16,1),(34,1),(36,1),(106,1),(121,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(35,1),(37,1)}
        26:{2,3,4,5,7}:{(17,1),(37,1),(38,1),(69,1),(142,1),(143,1)}
        27:{1,3,4,5,6}:{(19,1),(40,1),(41,1)}
        28:{1,2,4,5,6,7}:{(18,1),(42,1),(77,1),(78,1),(117,1),(136,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(43,1)}
        30:{2,3,5,6}:{(19,1),(21,1),(41,1),(43,1),(44,1)}
        31:{2,3,4,6,7}:{(20,1),(21,1),(43,1),(45,1),(78,1),(141,1),(142,1)}
        32:{1,3,4,6}:{(21,1),(22,1),(44,1),(46,1)}
        33:{1,2,4,5,7}:{(22,1),(46,1),(47,1),(82,1),(121,1),(122,1)}
        34:{1,2,4,5,7}:{(23,1),(24,1),(50,1),(87,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(50,1),(51,1)}
        36:{1,3,4,6,7}:{(24,1),(25,1),(50,1),(52,1),(133,1),(134,1)}
        37:{2,3,4,6}:{(25,1),(26,1),(51,1),(53,1)}
        38:{1,3,4,5,7}:{(26,1),(53,1),(54,1),(90,1),(145,1),(146,1)}
        39:{1,3,4,5,6,7}:{(56,1),(57,1),(86,1),(98,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1)}
        41:{2,4,5,6}:{(27,1),(30,1),(58,1),(59,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(57,1),(60,1),(144,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(31,1),(58,1),(61,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(59,1),(61,1),(62,1)}
        45:{1,3,4,6,7}:{(31,1),(32,1),(61,1),(63,1),(99,1),(133,1),(134,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(62,1),(64,1)}
        47:{1,2,3,5,7}:{(33,1),(64,1),(65,1),(105,1)}
        48:{1,3,4,5,6}:{(35,1),(66,1),(67,1)}
        49:{1,2,4,5,6,7}:{(34,1),(68,1),(77,1),(106,1),(117,1),(118,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(36,1),(69,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(67,1),(69,1),(70,1)}
        52:{2,3,4,6,7}:{(36,1),(37,1),(69,1),(71,1),(106,1),(141,1),(142,1)}
        53:{1,3,4,6}:{(37,1),(38,1),(70,1),(72,1)}
        54:{1,2,4,5,7}:{(38,1),(72,1),(73,1),(110,1),(139,1),(140,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(74,1),(75,1),(116,1)}
        56:{2,4,5,6,7}:{(39,1),(76,1),(77,1),(78,1),(106,1),(117,1)}
        57:{1,3,4,6,7}:{(40,1),(42,1),(78,1)}
        58:{2,4,5,7}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        59:{1,4,5,6}:{(41,1),(44,1),(79,1)}
        60:{2,3,5,6,7}:{(42,1),(43,1),(78,1),(81,1),(117,1),(141,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(45,1),(79,1),(82,1)}
        62:{1,2,5,6}:{(44,1),(46,1),(82,1)}
        63:{1,2,4,6,7}:{(45,1),(46,1),(82,1),(84,1),(121,1)}
        64:{1,2,3,6}:{(46,1),(47,1)}
        65:{1,2,3,4,7}:{(47,1),(85,1),(121,1)}
        66:{1,3,4,5,7}:{(48,1),(50,1),(86,1),(87,1)}
        67:{2,4,5,6}:{(48,1),(51,1),(87,1),(88,1)}
        68:{1,3,5,6,7}:{(49,1),(50,1),(86,1),(89,1),(133,1)}
        69:{2,3,5,7}:{(50,1),(51,1),(52,1),(87,1),(90,1)}
        70:{1,3,5,6}:{(51,1),(53,1),(88,1),(90,1),(91,1)}
        71:{1,3,4,6,7}:{(52,1),(53,1),(90,1),(92,1),(123,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(91,1),(93,1)}
        73:{1,2,3,5,7}:{(54,1),(93,1),(94,1),(129,1)}
        74:{2,3,4,5,7}:{(55,1),(58,1),(87,1),(95,1),(96,1),(131,1)}
        75:{1,3,4,5,6}:{(55,1),(59,1),(88,1),(96,1),(97,1),(101,1),(125,1)}
        76:{2,3,5,6,7}:{(56,1),(95,1),(98,1)}
        77:{1,4,5,6,7}:{(56,1),(98,1),(99,1),(123,1)}
        78:{2,4,6,7}:{(57,1),(58,1),(60,1),(99,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(61,1),(99,1)}
        80:{1,2,4,5,6}:{(59,1),(62,1),(97,1),(100,1),(101,1),(104,1)}
        81:{1,3,5,6,7}:{(60,1),(61,1),(99,1),(102,1),(133,1)}
        82:{1,2,5,7}:{(61,1),(62,1),(63,1)}
        83:{1,2,3,5,6}:{(62,1),(64,1),(101,1),(103,1),(104,1),(105,1)}
        84:{1,2,3,6,7}:{(63,1),(64,1),(103,1),(133,1)}
        85:{1,2,3,4,6}:{(64,1),(65,1),(104,1),(105,1)}
        86:{1,3,4,6,7}:{(66,1),(68,1),(106,1)}
        87:{2,4,5,7}:{(66,1),(67,1),(69,1),(106,1),(107,1)}
        88:{1,4,5,6}:{(67,1),(70,1),(107,1)}
        89:{2,3,5,6,7}:{(68,1),(69,1),(106,1),(109,1),(117,1),(141,1)}
        90:{1,3,5,7}:{(69,1),(70,1),(71,1),(107,1),(110,1)}
        91:{1,2,5,6}:{(70,1),(72,1),(110,1)}
        92:{1,2,4,6,7}:{(71,1),(72,1),(110,1),(112,1),(139,1)}
        93:{1,2,3,6}:{(72,1),(73,1)}
        94:{1,2,3,4,7}:{(73,1),(113,1),(139,1)}
        95:{2,3,4,6,7}:{(74,1),(76,1),(78,1),(106,1),(114,1),(141,1)}
        96:{1,3,4,5,7}:{(74,1),(75,1),(79,1),(107,1),(114,1),(115,1),(119,1),(137,1)}
        97:{2,4,5,6}:{(75,1),(115,1),(116,1)}
        98:{1,3,5,6,7}:{(76,1),(77,1),(114,1),(117,1)}
        99:{1,4,6,7}:{(78,1),(79,1),(81,1)}
       100:{1,2,4,5,7}:{(79,1),(80,1),(82,1),(115,1),(118,1),(119,1),(121,1)}
       101:{1,3,5,6}:{(80,1),(116,1),(119,1),(120,1)}
       102:{1,2,5,6,7}:{(81,1),(82,1),(117,1),(118,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(84,1),(119,1),(121,1)}
       104:{1,2,4,6}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,3,5}:{(85,1),(122,1)}
       106:{2,4,6,7}:{(86,1),(87,1),(89,1),(123,1)}
       107:{1,4,5,7}:{(87,1),(88,1),(90,1),(123,1)}
       108:{1,2,4,5,6}:{(88,1),(91,1),(97,1),(124,1),(125,1),(128,1)}
       109:{1,3,5,6,7}:{(89,1),(90,1),(123,1),(126,1),(144,1)}
       110:{1,2,5,7}:{(90,1),(91,1),(92,1)}
       111:{1,2,3,5,6}:{(91,1),(93,1),(125,1),(127,1),(128,1),(129,1)}
       112:{1,2,3,6,7}:{(92,1),(93,1),(127,1),(144,1)}
       113:{1,2,3,4,6}:{(93,1),(94,1),(128,1),(129,1)}
       114:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(99,1),(123,1),(130,1),(133,1),(144,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(130,1),(131,1)}
       116:{2,3,5,6}:{(97,1),(101,1),(125,1),(131,1),(132,1)}
       117:{2,5,6,7}:{(98,1),(130,1)}
       118:{1,2,4,6,7}:{(99,1),(100,1),(102,1),(130,1),(133,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(131,1),(133,1),(134,1)}
       120:{1,3,4,6}:{(101,1),(104,1),(132,1),(134,1),(135,1)}
       121:{1,2,4,7}:{(103,1),(104,1),(134,1)}
       122:{1,2,4,5}:{(104,1),(105,1),(135,1)}
       123:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(115,1),(136,1),(137,1),(139,1)}
       125:{1,3,5,6}:{(108,1),(116,1),(137,1),(138,1)}
       126:{1,2,5,6,7}:{(109,1),(110,1),(117,1),(136,1)}
       127:{1,2,3,5,7}:{(110,1),(111,1),(112,1),(137,1),(139,1)}
       128:{1,2,4,6}:{(111,1),(138,1),(139,1),(140,1)}
       129:{1,2,3,5}:{(113,1),(140,1)}
       130:{2,4,6,7}:{(114,1),(115,1),(117,1),(141,1)}
       131:{2,3,5,7}:{(115,1),(116,1),(119,1),(137,1),(141,1),(142,1)}
       132:{2,3,4,6}:{(116,1),(120,1),(138,1),(142,1),(143,1)}
       133:{1,3,6,7}:{(118,1),(119,1),(141,1)}
       134:{1,3,4,7}:{(119,1),(120,1),(121,1),(142,1)}
       135:{1,3,4,5}:{(120,1),(122,1),(143,1)}
       136:{1,2,4,6,7}:{(123,1),(124,1),(126,1),(130,1),(144,1)}
       137:{1,3,5,7}:{(124,1),(125,1),(131,1),(144,1),(145,1)}
       138:{1,3,4,6}:{(125,1),(128,1),(132,1),(145,1),(146,1)}
       139:{1,2,4,7}:{(127,1),(128,1),(145,1)}
       140:{1,2,4,5}:{(128,1),(129,1),(146,1)}
       141:{2,3,6,7}:{(130,1),(131,1),(133,1),(144,1)}
       142:{2,3,4,7}:{(131,1),(132,1),(134,1),(145,1)}
       143:{2,3,4,5}:{(132,1),(135,1),(146,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1)}
       145:{1,3,4,7}:{(137,1),(138,1),(139,1),(142,1)}
       146:{1,3,4,5}:{(138,1),(140,1),(143,1)}

2956 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(29,1),(30,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(10,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(38,1),(40,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(48,1)}
         8:{1,2,3,5}:{(3,1),(16,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(50,1),(81,1)}
        10:{1,3,4,5}:{(5,1),(18,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(26,1),(58,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(24,1),(26,1),(57,1),(58,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(8,1),(27,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(29,1),(30,1),(31,1),(61,1),(63,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(38,1),(61,1),(72,1),(89,1),(93,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(68,1),(94,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(37,1),(39,1),(73,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(33,1),(38,1),(39,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(40,1)}
        24:{1,2,3,6,7}:{(12,1),(14,1),(41,1),(74,1)}
        25:{1,2,4,5,6}:{(13,1),(34,1),(38,1),(40,1),(42,1),(72,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(39,1)}
        27:{1,3,4,5}:{(16,1),(18,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(45,1),(48,1),(79,1)}
        29:{1,2,3,6}:{(15,1),(45,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,2,3,5,7}:{(17,1),(46,1),(48,1),(78,1),(79,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(49,1),(51,1),(82,1)}
        33:{2,3,4,6}:{(18,1),(22,1),(44,1),(50,1),(51,1)}
        34:{2,4,5,6}:{(19,1),(50,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(57,1),(78,1),(87,1),(98,1),(100,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(83,1),(101,1)}
        37:{1,3,4,6}:{(21,1),(23,1),(49,1),(55,1)}
        38:{1,3,5,6}:{(22,1),(25,1),(50,1),(57,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(51,1),(57,1)}
        40:{1,2,5,6}:{(23,1),(55,1),(58,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(56,1),(58,1)}
        42:{1,2,4,5,7}:{(25,1),(26,1),(52,1),(57,1),(58,1),(59,1),(87,1)}
        43:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(60,1),(62,1),(90,1)}
        44:{1,3,4,6}:{(27,1),(30,1),(33,1),(61,1),(62,1)}
        45:{1,2,4,6}:{(28,1),(29,1),(60,1),(63,1)}
        46:{1,2,3,6,7}:{(29,1),(31,1),(64,1),(91,1)}
        47:{1,2,4,5,6}:{(30,1),(34,1),(61,1),(63,1),(65,1),(89,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(62,1)}
        49:{2,3,4,6}:{(32,1),(37,1),(60,1),(66,1)}
        50:{2,3,5,6}:{(33,1),(34,1),(38,1),(61,1),(68,1)}
        51:{2,3,4,7}:{(33,1),(39,1),(62,1),(68,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(74,1),(91,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,6}:{(37,1),(40,1),(66,1),(72,1),(73,1)}
        56:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(67,1),(73,1),(74,1),(97,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(42,1),(68,1),(74,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(73,1)}
        59:{1,2,4,6,7}:{(42,1),(69,1),(74,1),(75,1),(97,1)}
        60:{1,3,4,6}:{(43,1),(45,1),(49,1),(76,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(50,1),(78,1)}
        62:{1,3,4,7}:{(44,1),(48,1),(51,1),(78,1)}
        63:{1,2,5,6}:{(45,1),(76,1),(79,1)}
        64:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(77,1),(79,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(52,1),(78,1),(79,1),(80,1),(98,1)}
        66:{2,3,5,6}:{(49,1),(55,1),(76,1),(81,1),(82,1)}
        67:{2,3,4,6,7}:{(49,1),(51,1),(56,1),(77,1),(82,1),(83,1),(101,1)}
        68:{2,3,5,7}:{(50,1),(51,1),(52,1),(57,1),(78,1),(83,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(101,1)}
        72:{1,4,5,6}:{(55,1),(81,1),(87,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(58,1),(82,1),(87,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(83,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(88,1)}
        76:{1,3,5,6}:{(60,1),(63,1),(66,1),(89,1),(90,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(64,1),(67,1),(90,1),(91,1),(103,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(91,1)}
        79:{1,2,5,7}:{(63,1),(64,1),(90,1)}
        80:{1,2,4,6,7}:{(65,1),(69,1),(91,1),(92,1),(103,1)}
        81:{2,4,5,6}:{(66,1),(72,1),(89,1),(93,1),(94,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(73,1),(90,1),(94,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,4,5,7}:{(72,1),(73,1),(94,1),(97,1)}
        88:{1,3,5,6,7}:{(73,1),(74,1),(75,1),(95,1),(97,1)}
        89:{1,4,5,6}:{(76,1),(81,1),(98,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(98,1)}
        91:{1,3,6,7}:{(78,1),(80,1),(83,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(99,1)}
        93:{3,4,5,6}:{(81,1),(100,1)}
        94:{2,4,5,7}:{(81,1),(82,1),(87,1),(98,1),(100,1),(101,1)}
        95:{2,3,5,6,7}:{(82,1),(83,1),(84,1),(88,1),(99,1),(101,1),(102,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(101,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(101,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(94,1),(103,1)}
        99:{1,3,5,6,7}:{(90,1),(91,1),(92,1),(95,1),(103,1)}
       100:{3,4,5,7}:{(93,1),(94,1),(104,1)}
       101:{2,4,6,7}:{(94,1),(95,1),(97,1),(103,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(101,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

2957 :   0:{1,2,3,4,6}:{(2,1),(3,1),(17,1),(18,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(23,1),(89,1)}
         2:{1,2,3,4,7}:{(0,1),(8,1),(32,1)}
         3:{1,2,3,5}:{(0,1),(7,1)}
         4:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(14,1),(37,1),(80,1),(96,1),(99,1)}
         5:{2,3,4,5,7}:{(1,1),(11,1),(12,1),(41,1),(100,1)}
         6:{1,2,4,5,6}:{(10,1),(14,1),(15,1),(17,1),(49,1),(80,1)}
         7:{1,2,4,5}:{(3,1),(13,1),(17,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(16,1),(18,1)}
         9:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(19,1),(49,1)}
        10:{2,4,5,6}:{(4,1),(23,1),(24,1)}
        11:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(56,1),(93,1),(103,1),(104,1)}
        12:{2,3,4,6,7}:{(5,1),(25,1),(26,1),(60,1),(91,1)}
        13:{1,3,4,5}:{(7,1),(22,1),(28,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(28,1),(29,1)}
        15:{1,2,4,5,7}:{(6,1),(24,1),(29,1),(30,1),(32,1),(67,1),(93,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(27,1),(31,1),(32,1),(67,1)}
        17:{1,2,4,6}:{(7,1),(9,1),(28,1),(32,1)}
        18:{1,2,3,6}:{(8,1),(31,1)}
        19:{1,2,3,5,7}:{(9,1),(29,1),(32,1),(33,1),(67,1)}
        20:{1,2,3,4,6}:{(34,1),(35,1),(69,1),(70,1)}
        21:{1,2,4,5,6}:{(10,1),(37,1),(38,1),(69,1),(94,1),(96,1)}
        22:{2,3,4,5}:{(13,1),(36,1),(40,1)}
        23:{2,3,5,6}:{(10,1),(14,1),(37,1),(40,1),(41,1)}
        24:{2,4,5,7}:{(10,1),(11,1),(41,1),(42,1)}
        25:{1,3,4,6,7}:{(11,1),(12,1),(42,1),(43,1),(47,1),(74,1),(82,1),(98,1),(101,1)}
        26:{2,3,5,6,7}:{(12,1),(43,1),(44,1)}
        27:{1,3,4,5,7}:{(13,1),(16,1),(39,1),(45,1),(46,1),(81,1)}
        28:{1,3,4,6}:{(13,1),(14,1),(17,1),(40,1),(46,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(41,1),(46,1),(47,1)}
        30:{1,2,4,6,7}:{(15,1),(42,1),(47,1),(48,1),(82,1)}
        31:{1,2,4,6}:{(16,1),(18,1),(45,1),(49,1)}
        32:{1,2,4,7}:{(17,1),(19,1),(46,1)}
        33:{1,2,3,6,7}:{(18,1),(19,1),(47,1),(50,1)}
        34:{1,2,3,4,7}:{(20,1),(52,1),(84,1)}
        35:{1,2,3,5}:{(20,1),(51,1)}
        36:{1,3,4,5}:{(22,1),(51,1),(55,1)}
        37:{1,3,5,6}:{(21,1),(23,1),(55,1),(56,1)}
        38:{1,2,4,5,7}:{(21,1),(24,1),(56,1),(57,1),(84,1),(102,1),(103,1)}
        39:{2,3,4,5,7}:{(22,1),(27,1),(54,1),(58,1),(59,1),(90,1)}
        40:{2,3,4,6}:{(22,1),(23,1),(28,1),(55,1),(59,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(29,1),(56,1),(59,1),(60,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(61,1)}
        43:{1,3,5,6,7}:{(25,1),(26,1),(61,1),(62,1),(92,1)}
        44:{2,4,5,6,7}:{(26,1),(62,1),(63,1),(91,1)}
        45:{1,3,4,6}:{(27,1),(31,1),(58,1),(64,1)}
        46:{1,3,4,7}:{(28,1),(29,1),(32,1),(59,1)}
        47:{1,3,6,7}:{(29,1),(30,1),(60,1)}
        48:{1,2,5,6,7}:{(30,1),(61,1),(66,1),(67,1)}
        49:{1,2,5,6}:{(31,1),(64,1),(67,1)}
        50:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(65,1),(67,1)}
        51:{1,2,4,5}:{(35,1),(36,1),(69,1)}
        52:{1,2,3,5,7}:{(34,1),(35,1),(68,1),(70,1)}
        53:{1,2,3,5,6}:{(35,1),(37,1),(69,1),(70,1),(71,1),(94,1)}
        54:{1,3,4,5,7}:{(36,1),(39,1),(68,1),(72,1),(73,1),(97,1)}
        55:{1,3,4,6}:{(36,1),(37,1),(40,1),(69,1),(73,1)}
        56:{1,3,5,7}:{(37,1),(38,1),(41,1),(73,1),(74,1)}
        57:{1,2,4,6,7}:{(38,1),(42,1),(74,1),(75,1),(98,1)}
        58:{2,3,4,6}:{(39,1),(45,1),(72,1),(76,1)}
        59:{2,3,4,7}:{(40,1),(41,1),(46,1),(73,1)}
        60:{2,3,6,7}:{(41,1),(42,1),(47,1),(74,1)}
        61:{2,5,6,7}:{(42,1),(43,1)}
        62:{1,4,5,6,7}:{(43,1),(44,1),(79,1),(82,1),(98,1)}
        63:{3,4,5,6,7}:{(44,1),(101,1)}
        64:{1,3,5,6}:{(45,1),(49,1),(76,1),(80,1),(81,1)}
        65:{1,3,4,6,7}:{(45,1),(46,1),(47,1),(50,1),(77,1),(81,1),(82,1)}
        66:{1,3,5,6,7}:{(47,1),(48,1),(78,1),(81,1),(82,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(81,1)}
        68:{1,2,4,5,7}:{(51,1),(52,1),(54,1),(83,1),(84,1),(102,1)}
        69:{1,2,4,6}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,3,6}:{(52,1),(83,1)}
        71:{1,2,3,5,7}:{(53,1),(56,1),(84,1),(85,1),(102,1)}
        72:{1,3,4,6}:{(54,1),(58,1),(83,1),(86,1)}
        73:{1,3,4,7}:{(55,1),(56,1),(59,1),(84,1)}
        74:{1,3,6,7}:{(56,1),(57,1),(60,1)}
        75:{1,2,5,6,7}:{(57,1),(61,1),(88,1),(102,1)}
        76:{2,3,5,6}:{(58,1),(64,1),(86,1),(89,1),(90,1)}
        77:{2,3,4,6,7}:{(58,1),(59,1),(60,1),(65,1),(87,1),(90,1),(91,1)}
        78:{2,3,5,6,7}:{(60,1),(61,1),(66,1),(88,1),(90,1),(91,1),(92,1)}
        79:{2,4,5,6,7}:{(61,1),(62,1),(91,1),(92,1)}
        80:{1,4,5,6}:{(64,1),(89,1),(93,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(90,1),(93,1)}
        82:{1,4,6,7}:{(66,1),(91,1),(93,1)}
        83:{1,2,4,6}:{(68,1),(70,1),(72,1),(94,1)}
        84:{1,2,4,7}:{(69,1),(71,1),(73,1)}
        85:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(95,1)}
        86:{1,3,5,6}:{(72,1),(76,1),(94,1),(96,1),(97,1)}
        87:{1,3,4,6,7}:{(72,1),(73,1),(74,1),(77,1),(95,1),(97,1),(98,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(78,1),(97,1),(98,1)}
        89:{2,4,5,6}:{(76,1),(80,1),(96,1),(99,1),(100,1)}
        90:{2,3,5,7}:{(76,1),(77,1),(81,1),(97,1),(100,1)}
        91:{2,4,6,7}:{(78,1),(82,1),(98,1),(100,1),(101,1)}
        92:{3,5,6,7}:{(79,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(86,1),(102,1)}
        95:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(87,1),(102,1)}
        96:{1,4,5,6}:{(86,1),(89,1),(103,1)}
        97:{1,3,5,7}:{(86,1),(87,1),(90,1),(102,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(91,1),(103,1)}
        99:{3,4,5,6}:{(89,1),(104,1)}
       100:{2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6,7}:{(91,1),(92,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(97,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(100,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

2958 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,5,6,7}:{(13,1),(24,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(25,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(25,1),(26,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(25,1),(27,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(30,1)}
       26:{1,2,3,6,7}:{(21,1),(30,1)}
       27:{1,3,4,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,3,5,6,7}:{(23,1),(24,1),(31,1),(32,1)}
       29:{1,4,5,6,7}:{(24,1),(32,1)}
       30:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(33,1)}
       31:{1,3,5,6,7}:{(27,1),(28,1),(33,1),(34,1)}
       32:{2,4,5,6,7}:{(28,1),(29,1),(34,1),(35,1)}
       33:{1,2,5,6,7}:{(30,1),(31,1)}
       34:{1,4,5,6,7}:{(31,1),(32,1)}
       35:{3,4,5,6,7}:{(32,1)}

2959 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(46,1),(48,1),(80,1),(85,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(31,1),(67,1),(99,1),(105,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(70,1),(94,1),(100,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(85,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(19,1),(44,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(19,1),(21,1),(87,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(105,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{2,4,5,7}:{(12,1),(13,1),(25,1),(30,1)}
        20:{1,2,4,5,6}:{(13,1),(29,1),(31,1),(66,1),(72,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(106,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(19,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(51,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(44,1),(79,1),(83,1),(111,1)}
        30:{2,3,5,7}:{(19,1),(21,1),(40,1),(44,1),(45,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(44,1),(46,1),(47,1),(91,1),(117,1),(120,1),(135,1)}
        32:{2,3,4,6}:{(21,1),(45,1),(47,1),(48,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(46,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(30,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(70,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(64,1)}
        45:{2,3,4,7}:{(30,1),(32,1),(64,1)}
        46:{2,3,5,6}:{(31,1),(63,1),(66,1),(106,1),(124,1),(129,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(64,1),(66,1),(67,1)}
        48:{2,3,4,5}:{(32,1),(67,1),(106,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(63,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(66,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(44,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(45,1),(76,1),(77,1),(85,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(90,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(51,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(46,1),(81,1),(82,1),(117,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(46,1),(75,1),(83,1),(111,1)}
        64:{1,3,4,7}:{(44,1),(45,1),(47,1),(83,1)}
        65:{2,3,4,5,7}:{(45,1),(48,1),(50,1),(77,1),(84,1),(85,1),(118,1),(132,1)}
        66:{2,4,6}:{(46,1),(47,1),(83,1),(87,1)}
        67:{1,3,4,5}:{(47,1),(48,1),(87,1),(91,1),(117,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(83,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(86,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(87,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(64,1),(94,1),(95,1),(105,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(70,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(100,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(66,1),(100,1),(101,1),(102,1)}
        83:{2,4,7}:{(63,1),(64,1),(66,1)}
        84:{1,3,4,5,7}:{(64,1),(65,1),(67,1),(69,1),(95,1),(104,1),(105,1),(107,1),(127,1),(136,1)}
        85:{2,3,4,6}:{(65,1),(70,1),(96,1),(105,1),(129,1),(138,1)}
        86:{2,3,4,6}:{(66,1),(71,1),(101,1),(103,1),(106,1),(129,1)}
        87:{2,4,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(103,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(104,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(106,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(83,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(85,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(90,1),(112,1),(139,1)}
       100:{1,2,4,7}:{(81,1),(82,1),(83,1),(115,1)}
       101:{1,3,4,6}:{(82,1),(86,1),(115,1),(117,1),(135,1)}
       102:{1,2,4,5}:{(82,1),(87,1),(117,1)}
       103:{2,3,4,7}:{(83,1),(86,1),(88,1),(115,1),(118,1)}
       104:{2,4,5,7}:{(83,1),(84,1),(87,1),(111,1),(118,1),(119,1)}
       105:{1,3,4,6}:{(84,1),(85,1),(90,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       106:{2,3,5}:{(86,1),(87,1),(91,1),(117,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(100,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(105,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,2,4,5,7}:{(100,1),(102,1),(104,1),(122,1),(127,1),(128,1),(136,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(106,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(104,1),(105,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2960 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2961 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(60,1),(81,1),(82,1),(86,1),(87,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(26,1),(29,1),(47,1),(75,1),(92,1),(96,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(37,1),(57,1),(59,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(37,1),(59,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(87,1),(88,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(70,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(48,1),(71,1),(75,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(77,1),(78,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(59,1),(60,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(87,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(59,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(66,1),(67,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(46,1),(74,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(25,1),(26,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(26,1),(27,1),(31,1),(46,1),(50,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(71,1),(77,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(39,1),(60,1),(84,1)}
        24:{1,3,4,5,6}:{(15,1),(18,1),(36,1),(58,1),(85,1)}
        25:{2,4,5,7}:{(15,1),(16,1),(34,1),(36,1),(37,1),(59,1),(84,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
        27:{1,2,5,6,7}:{(17,1),(38,1),(43,1),(59,1)}
        28:{2,3,4,5,7}:{(19,1),(34,1),(39,1),(40,1),(65,1),(84,1),(100,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(66,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(59,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(60,1),(66,1)}
        34:{2,3,5,7}:{(23,1),(25,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(46,1),(47,1),(50,1),(51,1),(70,1),(74,1),(92,1)}
        36:{2,4,5,6}:{(24,1),(25,1),(29,1),(45,1),(48,1),(71,1),(93,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(46,1),(48,1),(92,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(47,1),(49,1),(50,1),(53,1)}
        39:{2,3,4,6}:{(28,1),(29,1),(45,1),(51,1),(77,1),(93,1)}
        40:{1,3,4,5,7}:{(28,1),(30,1),(46,1),(51,1),(52,1),(54,1),(74,1),(76,1),(92,1),(94,1),(103,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(52,1),(53,1),(54,1),(56,1),(80,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(71,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(72,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(39,1),(58,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(37,1),(58,1),(59,1)}
        47:{2,4,6,7}:{(35,1),(59,1),(60,1),(64,1),(84,1)}
        48:{1,4,5,6}:{(36,1),(37,1),(41,1),(58,1),(99,1)}
        49:{1,2,4,5,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(84,1)}
        50:{1,3,6,7}:{(38,1),(60,1),(62,1),(66,1)}
        51:{1,3,4,6}:{(39,1),(40,1),(41,1),(58,1),(64,1),(66,1),(87,1),(99,1)}
        52:{2,4,5,7}:{(40,1),(59,1),(64,1),(65,1),(84,1),(100,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(64,1),(66,1)}
        54:{1,3,5,7}:{(42,1),(65,1),(66,1),(67,1),(90,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(66,1),(68,1),(83,1),(90,1)}
        56:{1,2,4,7}:{(44,1),(67,1),(68,1),(84,1)}
        57:{1,2,4,6,7}:{(47,1),(69,1),(70,1),(75,1),(92,1)}
        58:{1,3,5,6}:{(45,1),(46,1),(48,1),(51,1),(71,1)}
        59:{2,5,7}:{(46,1),(47,1),(71,1)}
        60:{2,3,6,7}:{(47,1),(50,1),(70,1),(72,1),(77,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(53,1),(71,1),(73,1),(80,1),(93,1)}
        62:{1,3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1)}
        63:{1,2,4,5,7}:{(52,1),(69,1),(75,1),(76,1),(92,1),(96,1),(103,1),(104,1)}
        64:{2,4,6}:{(51,1),(52,1),(71,1),(77,1)}
        65:{2,3,5,7}:{(52,1),(54,1),(76,1),(77,1),(78,1),(98,1)}
        66:{1,3,6}:{(53,1),(54,1),(77,1)}
        67:{1,3,4,7}:{(54,1),(56,1),(78,1),(79,1)}
        68:{1,2,4,6}:{(55,1),(56,1),(79,1),(80,1),(93,1)}
        69:{1,2,5,7}:{(57,1),(59,1),(81,1),(82,1)}
        70:{1,3,6,7}:{(57,1),(60,1),(82,1),(87,1)}
        71:{2,5,6}:{(58,1),(59,1),(64,1)}
        72:{2,3,5,7}:{(59,1),(60,1),(62,1),(82,1),(83,1),(84,1)}
        73:{1,3,5,6}:{(61,1),(62,1),(66,1),(83,1),(85,1),(90,1)}
        74:{1,3,4,7}:{(62,1),(84,1),(85,1)}
        75:{1,2,4,6}:{(63,1),(64,1),(81,1),(87,1),(99,1)}
        76:{1,3,5,7}:{(63,1),(65,1),(87,1),(88,1),(102,1)}
        77:{2,3,6}:{(64,1),(65,1),(66,1),(87,1)}
        78:{2,3,4,7}:{(65,1),(67,1),(84,1),(88,1),(89,1)}
        79:{1,3,4,6}:{(66,1),(67,1),(68,1),(89,1),(90,1)}
        80:{1,2,4,5}:{(68,1),(90,1),(100,1)}
        81:{1,2,5,6}:{(69,1),(71,1),(75,1),(91,1),(104,1)}
        82:{1,3,5,7}:{(69,1),(70,1),(72,1),(91,1),(92,1)}
        83:{2,3,5,6}:{(71,1),(72,1),(73,1),(77,1),(91,1),(93,1),(98,1)}
        84:{2,4,7}:{(72,1),(74,1),(92,1),(93,1)}
        85:{1,3,4,6}:{(73,1),(74,1),(93,1),(94,1)}
        86:{1,2,3,5,7}:{(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,6}:{(75,1),(76,1),(77,1)}
        88:{1,3,4,7}:{(76,1),(78,1),(92,1),(96,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(78,1),(79,1),(93,1),(97,1),(98,1)}
        90:{1,3,5}:{(79,1),(80,1),(98,1)}
        91:{1,3,5,6}:{(81,1),(82,1),(83,1),(87,1),(99,1),(102,1)}
        92:{1,4,7}:{(82,1),(84,1),(99,1)}
        93:{2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        94:{1,3,4,5}:{(85,1),(90,1),(100,1)}
        95:{1,2,3,6}:{(86,1),(87,1),(101,1)}
        96:{1,2,4,7}:{(86,1),(88,1),(101,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(89,1),(99,1),(101,1),(102,1)}
        98:{2,3,5}:{(89,1),(90,1),(100,1),(102,1)}
        99:{1,4,6}:{(91,1),(92,1),(93,1),(103,1)}
       100:{2,4,5}:{(93,1),(94,1),(98,1),(103,1)}
       101:{1,2,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       102:{1,3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5}:{(99,1),(100,1),(102,1)}
       104:{1,2,5}:{(101,1),(102,1)}

2962 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(30,1),(94,1),(103,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(44,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(103,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(80,1),(120,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(82,1),(138,1),(142,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(63,1),(105,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(103,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(120,1),(142,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(29,1),(36,1),(58,1),(68,1),(98,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(105,1),(135,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(100,1),(130,1),(134,1)}
        29:{1,2,3,5,7}:{(19,1),(20,1),(42,1),(43,1),(117,1)}
        30:{1,2,3,4,6}:{(41,1),(44,1),(74,1),(81,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(142,1)}
        41:{1,2,3,4,7}:{(30,1),(56,1),(103,1)}
        42:{1,2,4,5,7}:{(29,1),(31,1),(57,1),(58,1),(68,1)}
        43:{1,2,3,5,6}:{(29,1),(58,1),(97,1)}
        44:{1,2,3,5}:{(30,1),(61,1)}
        45:{2,3,4,5,6}:{(33,1),(64,1),(65,1),(104,1),(128,1)}
        46:{1,3,4,5}:{(31,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(130,1),(135,1)}
        56:{1,2,3,5,7}:{(41,1),(44,1),(73,1),(74,1)}
        57:{1,3,4,5,7}:{(42,1),(46,1),(75,1),(76,1),(88,1),(117,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(76,1)}
        59:{1,2,3,5,6,7}:{(43,1),(48,1),(78,1),(91,1),(117,1),(124,1),(140,1)}
        60:{1,3,4,5,6,7}:{(51,1),(79,1),(115,1),(141,1)}
        61:{1,2,4,5}:{(44,1),(80,1),(81,1)}
        62:{1,2,3,5,6}:{(44,1),(74,1),(81,1),(82,1),(111,1),(119,1)}
        63:{2,3,4,5}:{(46,1),(80,1),(83,1)}
        64:{1,3,4,5,6}:{(45,1),(49,1),(84,1),(85,1),(87,1),(119,1),(136,1)}
        65:{2,3,4,5,7}:{(45,1),(50,1),(85,1),(86,1),(122,1),(139,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(83,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(84,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(61,1),(92,1),(93,1),(103,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{2,3,4,5,7}:{(57,1),(63,1),(92,1),(95,1),(105,1),(129,1)}
        76:{1,3,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,4,5,6}:{(58,1),(97,1),(99,1),(128,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(68,1),(98,1),(99,1),(145,1)}
        79:{2,4,5,6,7}:{(60,1),(70,1),(96,1),(100,1),(130,1),(145,1)}
        80:{1,3,4,5}:{(61,1),(63,1),(101,1)}
        81:{1,2,4,6}:{(61,1),(62,1),(101,1),(103,1)}
        82:{1,2,3,5,7}:{(62,1),(94,1),(103,1),(127,1),(133,1)}
        83:{2,3,4,6}:{(63,1),(66,1),(101,1),(104,1),(105,1)}
        84:{2,4,5,6}:{(64,1),(104,1),(106,1)}
        85:{1,3,4,5,7}:{(64,1),(65,1),(69,1),(106,1),(107,1),(108,1),(133,1),(143,1)}
        86:{2,3,4,6,7}:{(65,1),(70,1),(96,1),(107,1),(135,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(104,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(105,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(106,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(130,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(80,1),(110,1),(120,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(82,1),(112,1),(142,1)}
        95:{2,3,4,6}:{(75,1),(76,1),(110,1),(113,1)}
        96:{2,3,5,6,7}:{(79,1),(86,1),(115,1)}
        97:{1,3,5,6}:{(76,1),(77,1),(113,1),(117,1)}
        98:{1,3,4,6,7}:{(76,1),(78,1),(88,1),(114,1),(117,1),(124,1)}
        99:{1,2,4,5,7}:{(77,1),(78,1),(117,1),(139,1)}
       100:{1,4,5,6,7}:{(79,1),(90,1),(115,1),(146,1)}
       101:{1,3,4,6}:{(80,1),(81,1),(83,1),(119,1),(120,1)}
       102:{1,2,4,5,6}:{(81,1),(84,1),(111,1),(119,1),(121,1),(136,1)}
       103:{1,2,4,7}:{(81,1),(82,1),(120,1)}
       104:{2,3,5,6}:{(83,1),(84,1),(87,1),(119,1),(122,1)}
       105:{2,3,4,7}:{(83,1),(88,1),(120,1),(122,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(85,1),(86,1),(90,1),(115,1),(123,1),(124,1),(142,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(122,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(123,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(95,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(103,1),(126,1),(127,1)}
       113:{2,3,5,6}:{(95,1),(97,1),(125,1),(128,1),(129,1)}
       114:{2,3,4,6,7}:{(95,1),(98,1),(105,1),(126,1),(129,1),(135,1),(145,1)}
       115:{1,3,5,6,7}:{(96,1),(100,1),(107,1),(130,1)}
       116:{1,3,4,5,6}:{(97,1),(128,1),(131,1)}
       117:{1,3,5,7}:{(97,1),(98,1),(99,1),(129,1)}
       118:{1,2,4,5,6,7}:{(99,1),(100,1),(109,1),(130,1),(132,1),(145,1)}
       119:{1,3,5,6}:{(101,1),(102,1),(104,1),(133,1)}
       120:{1,3,4,7}:{(101,1),(103,1),(105,1),(133,1)}
       121:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(127,1),(133,1),(134,1),(143,1)}
       122:{2,3,5,7}:{(104,1),(105,1),(106,1),(108,1),(133,1),(135,1)}
       123:{2,4,6,7}:{(106,1),(107,1),(130,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(135,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(113,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(120,1),(137,1),(142,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{2,4,5,6}:{(113,1),(116,1),(136,1),(139,1)}
       129:{2,3,5,7}:{(113,1),(114,1),(117,1),(137,1),(139,1)}
       130:{2,5,6,7}:{(115,1),(123,1)}
       131:{1,3,4,5,7}:{(116,1),(117,1),(139,1),(141,1)}
       132:{1,3,5,6,7}:{(117,1),(118,1),(124,1),(140,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(122,1),(142,1)}
       134:{1,2,4,6,7}:{(121,1),(123,1),(138,1),(142,1),(146,1)}
       135:{2,3,6,7}:{(122,1),(123,1),(124,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(128,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(129,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(130,1),(134,1),(144,1)}
       139:{2,4,5,7}:{(128,1),(129,1),(131,1),(143,1),(145,1)}
       140:{2,3,5,6,7}:{(129,1),(130,1),(132,1),(135,1),(144,1),(145,1)}
       141:{1,3,4,6,7}:{(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(135,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(139,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(142,1),(146,1)}
       145:{2,4,6,7}:{(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2963 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(15,1),(34,1),(50,1),(76,1),(78,1),(81,1),(83,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(21,1),(43,1),(62,1),(65,1),(68,1),(103,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(13,1),(56,1),(81,1)}
         3:{1,3,4,6,7}:{(1,1),(5,1),(6,1),(12,1),(78,1),(79,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(21,1),(42,1),(62,1),(67,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(9,1),(10,1)}
         6:{2,3,4,6,7}:{(3,1),(10,1),(11,1),(21,1),(68,1),(69,1),(70,1)}
         7:{1,3,4,5,7}:{(5,1),(12,1),(13,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(31,1),(56,1),(77,1),(81,1)}
         9:{1,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(78,1)}
        10:{2,3,5,7}:{(5,1),(6,1),(13,1),(15,1),(16,1),(81,1)}
        11:{1,3,4,6,7}:{(6,1),(16,1),(17,1),(32,1),(59,1),(60,1)}
        12:{1,3,4,6}:{(7,1),(9,1),(21,1)}
        13:{2,4,5,7}:{(7,1),(10,1),(21,1),(22,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(20,1),(23,1),(66,1),(90,1)}
        15:{2,3,5,6}:{(9,1),(10,1),(21,1),(24,1),(67,1),(69,1)}
        16:{1,3,5,7}:{(10,1),(11,1),(22,1),(24,1),(25,1)}
        17:{1,2,4,6,7}:{(11,1),(25,1),(26,1),(44,1),(48,1),(68,1)}
        18:{2,3,4,5,7}:{(13,1),(27,1),(28,1),(51,1),(55,1),(101,1),(102,1)}
        19:{1,3,4,5,6}:{(12,1),(29,1),(30,1),(52,1),(86,1)}
        20:{1,3,4,6,7}:{(12,1),(14,1),(29,1),(31,1)}
        21:{2,4,6}:{(12,1),(13,1),(15,1),(32,1)}
        22:{1,4,5,7}:{(13,1),(16,1),(32,1)}
        23:{2,3,5,6,7}:{(14,1),(15,1),(31,1),(34,1),(51,1),(81,1),(83,1)}
        24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(59,1)}
        25:{1,2,5,7}:{(16,1),(17,1),(35,1),(81,1)}
        26:{1,2,3,6,7}:{(17,1),(36,1),(59,1),(83,1)}
        27:{2,3,4,6}:{(18,1),(21,1),(37,1),(39,1),(69,1),(94,1)}
        28:{1,3,4,5,7}:{(18,1),(22,1),(39,1),(40,1),(45,1),(63,1),(66,1),(96,1),(97,1),(103,1),(104,1)}
        29:{1,3,4,5,7}:{(19,1),(20,1),(41,1),(66,1),(96,1)}
        30:{2,4,5,6}:{(19,1),(21,1),(37,1),(41,1),(42,1),(67,1),(94,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(23,1),(41,1),(43,1)}
        32:{1,4,6}:{(21,1),(22,1),(24,1)}
        33:{1,2,4,5,7}:{(22,1),(25,1),(40,1),(44,1),(45,1),(48,1),(75,1)}
        34:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(46,1),(66,1),(73,1)}
        35:{1,2,5,6}:{(24,1),(25,1),(44,1),(67,1)}
        36:{1,2,3,5,7}:{(25,1),(26,1),(45,1),(47,1),(48,1),(93,1)}
        37:{2,3,5,6}:{(27,1),(30,1),(51,1),(52,1)}
        38:{2,3,4,6,7}:{(27,1),(31,1),(51,1),(53,1),(83,1),(101,1)}
        39:{1,3,4,6}:{(27,1),(28,1),(32,1),(52,1),(54,1),(59,1),(78,1),(99,1)}
        40:{2,4,5,7}:{(28,1),(54,1),(55,1),(81,1),(101,1),(102,1)}
        41:{2,4,5,7}:{(29,1),(30,1),(31,1),(51,1),(56,1),(81,1),(101,1)}
        42:{1,4,5,6}:{(30,1),(32,1),(52,1),(56,1),(99,1)}
        43:{1,4,6,7}:{(31,1),(32,1),(34,1),(56,1)}
        44:{1,2,4,6}:{(32,1),(33,1),(35,1),(54,1),(59,1)}
        45:{1,3,5,7}:{(33,1),(55,1),(59,1),(60,1),(87,1)}
        46:{1,2,5,6,7}:{(34,1),(35,1),(58,1),(81,1)}
        47:{1,2,3,5,6}:{(35,1),(36,1),(59,1),(61,1),(82,1),(87,1)}
        48:{1,2,4,7}:{(36,1),(60,1),(61,1),(101,1)}
        49:{1,2,4,5,7}:{(40,1),(62,1),(63,1),(65,1),(88,1),(92,1),(103,1),(104,1)}
        50:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        51:{2,3,5,7}:{(37,1),(38,1),(41,1),(66,1)}
        52:{1,3,5,6}:{(37,1),(39,1),(42,1),(66,1),(67,1)}
        53:{1,3,4,6,7}:{(38,1),(39,1),(43,1),(66,1),(68,1),(73,1),(90,1),(96,1),(103,1)}
        54:{2,4,6}:{(39,1),(40,1),(67,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(45,1),(63,1),(69,1),(70,1),(95,1)}
        56:{1,4,5,7}:{(41,1),(42,1),(43,1),(66,1),(103,1)}
        57:{1,2,4,5,6}:{(42,1),(44,1),(67,1),(71,1),(72,1),(75,1),(94,1)}
        58:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(68,1),(71,1),(73,1)}
        59:{1,3,6}:{(44,1),(45,1),(69,1)}
        60:{1,3,4,7}:{(45,1),(48,1),(70,1),(74,1)}
        61:{1,2,4,6}:{(47,1),(48,1),(74,1),(75,1),(94,1)}
        62:{1,2,4,6}:{(49,1),(54,1),(76,1),(78,1),(99,1)}
        63:{1,3,5,7}:{(49,1),(55,1),(78,1),(79,1),(100,1)}
        64:{1,2,3,6}:{(50,1),(78,1),(80,1)}
        65:{1,2,4,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(53,1),(56,1),(81,1)}
        67:{2,5,6}:{(52,1),(54,1),(81,1)}
        68:{2,4,6,7}:{(53,1),(54,1),(81,1),(83,1),(101,1)}
        69:{2,3,6}:{(54,1),(55,1),(59,1),(78,1)}
        70:{2,3,4,7}:{(55,1),(60,1),(79,1),(84,1),(101,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(81,1),(85,1),(101,1)}
        72:{1,3,5,6}:{(57,1),(59,1),(82,1),(85,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(58,1),(59,1),(83,1),(85,1)}
        74:{1,3,4,6}:{(59,1),(60,1),(61,1),(84,1),(87,1)}
        75:{1,2,4,5}:{(61,1),(87,1),(102,1)}
        76:{1,2,5,6}:{(62,1),(67,1),(88,1),(89,1),(92,1)}
        77:{1,2,4,6,7}:{(62,1),(68,1),(88,1),(90,1),(103,1)}
        78:{1,3,6}:{(62,1),(63,1),(69,1)}
        79:{1,3,4,7}:{(63,1),(65,1),(70,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(64,1),(65,1),(91,1),(92,1)}
        81:{2,5,7}:{(66,1),(67,1),(68,1)}
        82:{2,3,5,6}:{(67,1),(69,1),(72,1),(89,1),(93,1),(94,1),(95,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(73,1),(90,1),(93,1)}
        84:{2,3,4,6}:{(69,1),(70,1),(74,1),(91,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(93,1),(96,1)}
        86:{1,3,4,6}:{(72,1),(94,1),(96,1),(97,1)}
        87:{1,3,5}:{(74,1),(75,1),(95,1)}
        88:{1,2,5,7}:{(76,1),(77,1),(81,1),(98,1)}
        89:{1,3,5,6}:{(76,1),(78,1),(82,1),(98,1),(99,1),(100,1)}
        90:{1,3,6,7}:{(77,1),(78,1),(83,1),(98,1)}
        91:{1,3,4,6}:{(78,1),(79,1),(80,1),(84,1),(99,1),(100,1)}
        92:{1,2,5}:{(80,1),(100,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(83,1),(85,1),(98,1),(101,1)}
        94:{2,4,6}:{(82,1),(86,1),(99,1),(101,1),(102,1)}
        95:{2,3,5}:{(84,1),(87,1),(100,1),(102,1)}
        96:{1,3,4,7}:{(85,1),(86,1),(101,1)}
        97:{1,3,4,5}:{(86,1),(87,1),(102,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(90,1),(93,1),(103,1)}
        99:{1,4,6}:{(89,1),(94,1),(103,1),(104,1)}
       100:{1,3,5}:{(91,1),(92,1),(95,1),(104,1)}
       101:{2,4,7}:{(93,1),(94,1),(96,1),(103,1)}
       102:{2,4,5}:{(94,1),(95,1),(97,1),(104,1)}
       103:{1,4,7}:{(98,1),(99,1),(101,1)}
       104:{1,4,5}:{(99,1),(100,1),(102,1)}

2964 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(44,1),(112,1),(113,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(58,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(74,1),(113,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(89,1),(125,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(19,1),(38,1),(95,1),(122,1),(124,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(24,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(78,1),(117,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(48,1),(113,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(19,1),(36,1)}
        13:{1,3,4,5,7}:{(8,1),(21,1),(22,1),(41,1),(64,1),(104,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(19,1),(23,1),(124,1),(125,1)}
        16:{1,3,4,5,6}:{(11,1),(24,1),(25,1)}
        17:{1,2,4,5,6,7}:{(12,1),(26,1),(48,1),(81,1),(108,1),(114,1)}
        18:{2,3,5,6}:{(11,1),(14,1),(24,1),(28,1),(29,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(15,1),(29,1)}
        20:{1,2,3,4,7}:{(27,1),(30,1),(88,1)}
        21:{1,2,4,5,7}:{(13,1),(30,1),(31,1),(53,1),(55,1),(88,1)}
        22:{1,3,4,6}:{(13,1),(14,1),(28,1),(31,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(29,1),(32,1),(48,1),(116,1),(117,1)}
        24:{2,4,5,6}:{(16,1),(18,1),(35,1),(36,1)}
        25:{1,3,4,5,7}:{(16,1),(19,1),(34,1),(36,1)}
        26:{1,3,5,6,7}:{(17,1),(19,1),(34,1),(38,1),(124,1)}
        27:{1,2,3,4,6}:{(20,1),(39,1),(42,1),(70,1)}
        28:{1,3,5,6}:{(18,1),(22,1),(35,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(18,1),(19,1),(23,1),(36,1),(41,1)}
        30:{1,2,3,5,7}:{(20,1),(21,1),(39,1),(42,1)}
        31:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
        32:{1,3,4,6,7}:{(22,1),(23,1),(41,1),(43,1),(63,1),(103,1),(104,1)}
        33:{2,3,4,5,6}:{(24,1),(45,1),(46,1),(79,1),(138,1)}
        34:{1,3,4,6,7}:{(25,1),(26,1),(48,1)}
        35:{1,4,5,6}:{(24,1),(28,1),(50,1)}
        36:{2,4,5,7}:{(24,1),(25,1),(29,1),(48,1),(50,1)}
        37:{1,2,3,4,6,7}:{(27,1),(51,1),(56,1),(86,1),(88,1),(120,1)}
        38:{2,3,5,6,7}:{(26,1),(29,1),(48,1),(52,1),(114,1),(116,1)}
        39:{1,2,3,5}:{(27,1),(53,1)}
        40:{1,2,5,6}:{(28,1),(31,1),(55,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(32,1),(50,1),(55,1)}
        42:{1,2,3,6}:{(30,1),(31,1)}
        43:{1,2,4,6,7}:{(31,1),(32,1),(55,1),(56,1),(88,1)}
        44:{1,2,3,4,6}:{(57,1),(58,1),(93,1),(94,1)}
        45:{1,3,4,5,6}:{(33,1),(35,1),(60,1),(61,1),(65,1),(90,1),(142,1)}
        46:{2,3,4,5,7}:{(33,1),(36,1),(59,1),(61,1),(100,1),(145,1)}
        47:{1,3,4,5,6,7}:{(34,1),(62,1),(96,1),(132,1)}
        48:{2,4,6,7}:{(34,1),(36,1),(38,1),(63,1)}
        49:{1,2,4,5,6}:{(35,1),(40,1),(60,1),(65,1),(66,1),(70,1)}
        50:{1,4,5,7}:{(35,1),(36,1),(41,1),(63,1)}
        51:{1,2,3,5,7}:{(37,1),(39,1),(67,1),(68,1),(133,1)}
        52:{1,3,5,6,7}:{(38,1),(41,1),(63,1),(69,1),(103,1)}
        53:{1,2,4,5}:{(39,1),(64,1),(70,1)}
        54:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(65,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(40,1),(41,1),(43,1)}
        56:{1,2,3,6,7}:{(42,1),(43,1),(71,1),(103,1)}
        57:{1,2,3,4,7}:{(44,1),(73,1),(113,1)}
        58:{1,2,3,5}:{(44,1),(74,1)}
        59:{2,3,4,6,7}:{(46,1),(48,1),(76,1),(77,1),(116,1),(139,1)}
        60:{2,4,5,6}:{(45,1),(79,1),(80,1)}
        61:{1,3,4,5,7}:{(45,1),(46,1),(50,1),(77,1),(80,1),(85,1),(110,1),(146,1)}
        62:{2,4,5,6,7}:{(47,1),(48,1),(76,1),(81,1),(114,1),(139,1)}
        63:{1,4,6,7}:{(48,1),(50,1),(52,1)}
        64:{1,3,4,5}:{(53,1),(78,1),(84,1)}
        65:{1,3,5,6}:{(49,1),(79,1),(84,1),(85,1)}
        66:{1,2,4,5,7}:{(49,1),(50,1),(55,1),(80,1),(83,1),(85,1),(88,1)}
        67:{1,2,4,5,7}:{(51,1),(53,1),(82,1),(86,1),(88,1)}
        68:{1,2,3,5,6}:{(51,1),(86,1),(119,1)}
        69:{1,2,5,6,7}:{(52,1),(55,1),(83,1),(114,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(84,1),(88,1)}
        71:{1,2,3,5,7}:{(54,1),(55,1),(56,1),(85,1),(88,1)}
        72:{1,2,4,5,6}:{(60,1),(90,1),(91,1),(94,1),(126,1),(142,1)}
        73:{1,2,3,5,7}:{(57,1),(58,1),(92,1),(93,1)}
        74:{1,2,4,5}:{(58,1),(89,1),(94,1)}
        75:{1,2,3,5,6}:{(58,1),(90,1),(93,1),(94,1),(95,1),(126,1)}
        76:{2,3,5,6,7}:{(59,1),(62,1),(96,1)}
        77:{1,3,4,6,7}:{(59,1),(61,1),(63,1),(96,1),(98,1),(103,1),(124,1),(143,1)}
        78:{2,3,4,5}:{(64,1),(89,1),(99,1)}
        79:{2,3,5,6}:{(60,1),(65,1),(90,1),(99,1),(100,1)}
        80:{2,4,5,7}:{(60,1),(61,1),(98,1),(100,1)}
        81:{1,4,5,6,7}:{(62,1),(63,1),(96,1),(143,1)}
        82:{1,3,4,5,7}:{(64,1),(67,1),(97,1),(102,1),(104,1),(133,1)}
        83:{1,2,4,6,7}:{(63,1),(66,1),(69,1),(98,1),(103,1)}
        84:{1,3,4,6}:{(64,1),(65,1),(70,1),(99,1),(104,1)}
        85:{1,3,5,7}:{(65,1),(66,1),(100,1),(103,1),(104,1)}
        86:{1,2,4,6}:{(67,1),(68,1),(102,1)}
        87:{1,2,3,5,6,7}:{(68,1),(69,1),(71,1),(103,1),(106,1),(128,1),(133,1)}
        88:{1,2,4,7}:{(70,1),(71,1),(104,1)}
        89:{1,3,4,5}:{(74,1),(78,1),(109,1)}
        90:{1,3,5,6}:{(72,1),(79,1),(109,1),(110,1)}
        91:{1,2,4,5,7}:{(72,1),(80,1),(108,1),(110,1),(113,1),(137,1),(146,1)}
        92:{1,2,4,5,7}:{(73,1),(74,1),(107,1),(111,1),(113,1),(137,1)}
        93:{1,2,3,6}:{(73,1),(111,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(109,1),(113,1)}
        95:{1,2,3,5,7}:{(75,1),(110,1),(112,1),(113,1),(137,1)}
        96:{1,3,5,6,7}:{(76,1),(77,1),(81,1),(114,1)}
        97:{2,3,4,5,7}:{(78,1),(82,1),(107,1),(115,1),(117,1),(140,1)}
        98:{2,4,6,7}:{(77,1),(80,1),(114,1),(116,1)}
        99:{2,3,4,6}:{(78,1),(79,1),(84,1),(109,1),(117,1)}
       100:{2,3,5,7}:{(79,1),(80,1),(85,1),(110,1),(116,1),(117,1)}
       101:{1,2,4,5,6,7}:{(81,1),(83,1),(114,1),(118,1),(121,1),(139,1)}
       102:{1,3,4,6}:{(82,1),(86,1),(115,1),(119,1)}
       103:{1,3,6,7}:{(83,1),(85,1),(116,1)}
       104:{1,3,4,7}:{(84,1),(85,1),(88,1),(117,1)}
       105:{1,2,4,5,6}:{(86,1),(119,1),(121,1),(138,1)}
       106:{1,2,4,6,7}:{(86,1),(87,1),(88,1),(120,1),(121,1),(139,1)}
       107:{1,3,4,5,7}:{(89,1),(92,1),(97,1),(123,1),(125,1),(144,1)}
       108:{1,2,4,6,7}:{(91,1),(98,1),(122,1),(124,1),(143,1)}
       109:{1,3,4,6}:{(89,1),(90,1),(94,1),(99,1),(125,1)}
       110:{1,3,5,7}:{(90,1),(91,1),(100,1),(124,1),(125,1)}
       111:{1,2,4,6}:{(92,1),(93,1),(123,1),(126,1)}
       112:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(127,1)}
       113:{1,2,4,7}:{(94,1),(95,1),(125,1)}
       114:{2,5,6,7}:{(96,1),(98,1)}
       115:{2,3,4,6}:{(97,1),(102,1),(123,1),(129,1)}
       116:{2,3,6,7}:{(98,1),(100,1),(103,1),(124,1)}
       117:{2,3,4,7}:{(99,1),(100,1),(104,1),(125,1)}
       118:{1,3,5,6,7}:{(101,1),(103,1),(128,1),(132,1),(133,1)}
       119:{1,3,5,6}:{(102,1),(105,1),(129,1),(133,1)}
       120:{1,3,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(130,1),(133,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(133,1),(145,1)}
       122:{1,2,5,6,7}:{(108,1),(114,1),(134,1),(137,1)}
       123:{1,3,4,6}:{(107,1),(111,1),(115,1),(135,1)}
       124:{1,3,6,7}:{(108,1),(110,1),(116,1)}
       125:{1,3,4,7}:{(109,1),(110,1),(113,1),(117,1)}
       126:{1,2,5,6}:{(111,1),(135,1),(137,1)}
       127:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(136,1),(137,1)}
       128:{2,3,5,6,7}:{(114,1),(116,1),(118,1),(134,1),(139,1),(140,1)}
       129:{2,3,5,6}:{(115,1),(119,1),(135,1),(138,1),(140,1)}
       130:{2,3,4,6,7}:{(115,1),(116,1),(117,1),(120,1),(136,1),(139,1),(140,1)}
       131:{1,3,4,5,6}:{(119,1),(138,1),(141,1)}
       132:{1,3,4,6,7}:{(118,1),(139,1),(141,1)}
       133:{1,3,5,7}:{(119,1),(120,1),(121,1),(140,1)}
       134:{1,3,5,6,7}:{(122,1),(124,1),(128,1),(143,1),(144,1)}
       135:{1,3,5,6}:{(123,1),(126,1),(129,1),(142,1),(144,1)}
       136:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(130,1),(143,1),(144,1)}
       137:{1,2,5,7}:{(126,1),(127,1),(144,1)}
       138:{2,4,5,6}:{(129,1),(131,1),(142,1),(145,1)}
       139:{2,4,6,7}:{(128,1),(132,1),(143,1),(145,1)}
       140:{2,3,5,7}:{(129,1),(130,1),(133,1),(144,1),(145,1)}
       141:{1,3,4,5,7}:{(131,1),(132,1),(133,1),(145,1)}
       142:{1,4,5,6}:{(135,1),(138,1),(146,1)}
       143:{1,4,6,7}:{(134,1),(139,1),(146,1)}
       144:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(146,1)}
       145:{2,4,5,7}:{(138,1),(139,1),(140,1),(141,1),(146,1)}
       146:{1,4,5,7}:{(142,1),(143,1),(144,1),(145,1)}

2965 :   0:{1,2,3,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(24,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(10,1),(57,1),(97,1)}
         5:{1,2,4,5}:{(2,1),(11,1),(12,1)}
         6:{1,2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(34,1),(36,1)}
         7:{1,2,3,4,7}:{(3,1),(14,1),(15,1),(81,1)}
         8:{1,2,3,5}:{(3,1),(16,1),(17,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(20,1),(24,1),(53,1),(76,1),(115,1)}
        10:{1,2,3,6}:{(4,1),(20,1)}
        11:{1,3,4,5}:{(5,1),(18,1),(22,1)}
        12:{1,2,4,6}:{(5,1),(6,1),(22,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(21,1),(24,1),(53,1),(55,1)}
        14:{1,2,3,4,6}:{(7,1),(25,1),(27,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(26,1),(27,1),(30,1)}
        16:{1,2,4,5}:{(8,1),(28,1),(29,1)}
        17:{1,2,3,6}:{(8,1),(29,1),(30,1)}
        18:{2,3,4,5}:{(11,1),(28,1),(32,1)}
        19:{1,3,4,5,7}:{(9,1),(11,1),(31,1),(33,1),(37,1),(72,1),(95,1),(129,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(33,1),(34,1)}
        21:{1,2,3,6,7}:{(10,1),(13,1),(35,1),(75,1),(97,1)}
        22:{1,3,4,6}:{(11,1),(12,1),(32,1),(36,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(36,1),(38,1),(69,1),(71,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(37,1)}
        25:{1,2,3,5}:{(14,1),(40,1)}
        26:{1,2,4,5,7}:{(15,1),(16,1),(40,1),(42,1),(43,1),(47,1),(81,1),(84,1)}
        27:{1,2,3,6}:{(15,1),(43,1)}
        28:{1,3,4,5}:{(16,1),(18,1),(45,1)}
        29:{1,2,4,6}:{(16,1),(17,1),(45,1),(46,1),(47,1)}
        30:{1,2,3,7}:{(17,1),(47,1)}
        31:{2,3,4,5,7}:{(18,1),(19,1),(42,1),(48,1),(50,1),(78,1),(89,1),(117,1)}
        32:{2,3,4,6}:{(18,1),(22,1),(45,1),(49,1),(50,1)}
        33:{1,3,4,6}:{(19,1),(20,1),(48,1),(51,1)}
        34:{1,2,5,6}:{(20,1),(51,1),(53,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(115,1),(141,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(49,1),(55,1)}
        37:{1,3,4,7}:{(22,1),(24,1),(50,1),(55,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(53,1),(55,1),(56,1),(90,1),(92,1)}
        39:{1,2,3,4}:{(57,1)}
        40:{1,2,4,5}:{(25,1),(58,1),(59,1)}
        41:{1,2,3,5,6}:{(25,1),(27,1),(59,1),(60,1),(62,1),(99,1)}
        42:{1,3,4,5,7}:{(26,1),(28,1),(31,1),(58,1),(61,1),(65,1),(100,1),(103,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(27,1),(30,1),(60,1),(63,1),(134,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(32,1),(64,1),(65,1)}
        46:{1,2,5,6}:{(29,1),(64,1),(66,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(65,1),(66,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(61,1),(67,1)}
        49:{2,3,5,6}:{(32,1),(36,1),(64,1),(69,1),(70,1)}
        50:{2,3,4,7}:{(32,1),(37,1),(65,1),(70,1)}
        51:{1,3,5,6}:{(33,1),(34,1),(67,1),(71,1),(72,1)}
        52:{1,3,4,6,7}:{(33,1),(35,1),(37,1),(68,1),(72,1),(75,1),(111,1),(129,1),(148,1)}
        53:{1,2,5,7}:{(34,1),(35,1),(72,1)}
        54:{1,3,4,5,6}:{(36,1),(69,1),(71,1),(74,1),(107,1)}
        55:{1,3,5,7}:{(36,1),(37,1),(38,1),(70,1),(75,1)}
        56:{1,2,4,6,7}:{(38,1),(73,1),(75,1),(110,1),(111,1)}
        57:{1,2,3,5}:{(39,1),(76,1),(77,1)}
        58:{1,3,4,5}:{(40,1),(78,1),(79,1)}
        59:{1,2,4,6}:{(40,1),(41,1),(79,1),(81,1)}
        60:{1,2,3,5,7}:{(41,1),(44,1),(81,1),(84,1),(119,1)}
        61:{1,3,4,6}:{(42,1),(43,1),(48,1),(82,1)}
        62:{1,2,5,6}:{(43,1),(82,1),(84,1)}
        63:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(81,1),(83,1),(84,1),(87,1)}
        64:{1,3,5,6}:{(45,1),(46,1),(49,1),(85,1),(86,1)}
        65:{1,3,4,7}:{(45,1),(47,1),(50,1),(86,1)}
        66:{1,2,5,7}:{(46,1),(47,1),(86,1),(87,1)}
        67:{2,3,5,6}:{(48,1),(51,1),(82,1),(88,1),(89,1)}
        68:{2,3,4,6,7}:{(48,1),(50,1),(52,1),(83,1),(89,1),(91,1),(117,1),(125,1),(143,1)}
        69:{2,4,5,6}:{(49,1),(54,1),(85,1),(90,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(55,1),(86,1),(90,1),(91,1)}
        71:{1,4,5,6}:{(51,1),(88,1),(92,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(53,1),(89,1),(92,1)}
        73:{1,2,5,6,7}:{(53,1),(56,1),(93,1),(126,1),(141,1)}
        74:{1,3,4,5,7}:{(54,1),(55,1),(90,1),(92,1),(94,1),(124,1)}
        75:{1,3,6,7}:{(55,1),(56,1),(91,1)}
        76:{1,2,4,5}:{(57,1),(95,1),(96,1)}
        77:{1,2,3,6}:{(57,1),(96,1),(97,1)}
        78:{2,3,4,5}:{(58,1),(95,1),(98,1)}
        79:{1,3,4,6}:{(58,1),(59,1),(98,1),(99,1),(100,1)}
        80:{1,2,4,5,6}:{(59,1),(62,1),(99,1),(101,1),(102,1),(131,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(100,1)}
        82:{1,3,5,6}:{(61,1),(62,1),(67,1),(102,1),(103,1)}
        83:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(68,1),(100,1),(103,1),(106,1),(134,1),(135,1)}
        84:{1,2,5,7}:{(62,1),(63,1),(103,1)}
        85:{1,4,5,6}:{(64,1),(69,1),(105,1)}
        86:{1,3,5,7}:{(64,1),(65,1),(66,1),(70,1),(105,1),(106,1)}
        87:{1,2,6,7}:{(66,1),(106,1)}
        88:{2,4,5,6}:{(67,1),(71,1),(102,1),(107,1),(108,1)}
        89:{2,3,5,7}:{(67,1),(68,1),(72,1),(103,1),(108,1)}
        90:{2,4,5,7}:{(69,1),(70,1),(74,1),(105,1),(110,1)}
        91:{2,3,6,7}:{(70,1),(75,1),(106,1),(110,1)}
        92:{1,4,5,7}:{(71,1),(72,1),(108,1),(111,1)}
        93:{1,3,5,6,7}:{(72,1),(73,1),(75,1),(109,1),(111,1),(148,1),(153,1)}
        94:{1,3,4,6,7}:{(74,1),(75,1),(110,1),(111,1),(112,1),(137,1)}
        95:{1,3,4,5}:{(76,1),(78,1),(113,1)}
        96:{1,2,4,6}:{(76,1),(77,1),(113,1),(114,1),(115,1)}
        97:{1,2,3,7}:{(77,1),(115,1)}
        98:{2,3,4,6}:{(78,1),(79,1),(113,1),(116,1),(117,1)}
        99:{1,3,5,6}:{(79,1),(80,1),(116,1),(119,1)}
       100:{1,3,4,7}:{(79,1),(81,1),(117,1),(119,1)}
       101:{1,2,4,5,7}:{(80,1),(81,1),(84,1),(119,1),(120,1),(121,1),(142,1)}
       102:{1,4,5,6}:{(82,1),(88,1),(121,1)}
       103:{1,3,5,7}:{(82,1),(83,1),(84,1),(89,1),(121,1)}
       104:{1,2,5,6,7}:{(84,1),(87,1),(120,1),(122,1),(152,1)}
       105:{1,4,5,7}:{(85,1),(86,1),(90,1),(123,1)}
       106:{1,3,6,7}:{(86,1),(87,1),(91,1),(123,1)}
       107:{3,4,5,6}:{(88,1),(124,1)}
       108:{2,4,5,7}:{(88,1),(89,1),(92,1),(121,1),(124,1),(125,1)}
       109:{2,3,5,6,7}:{(89,1),(91,1),(93,1),(122,1),(125,1),(126,1),(143,1),(146,1),(152,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(94,1),(123,1),(126,1)}
       111:{1,4,6,7}:{(92,1),(93,1),(125,1)}
       112:{1,3,5,6,7}:{(94,1),(126,1),(127,1),(146,1)}
       113:{1,3,4,6}:{(95,1),(96,1),(98,1),(128,1),(129,1)}
       114:{1,2,5,6}:{(96,1),(128,1),(130,1)}
       115:{1,2,4,7}:{(96,1),(97,1),(129,1),(130,1)}
       116:{2,3,5,6}:{(98,1),(99,1),(128,1),(131,1),(132,1)}
       117:{2,3,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{1,3,4,5,6}:{(99,1),(102,1),(107,1),(131,1),(133,1)}
       119:{1,3,5,7}:{(99,1),(100,1),(101,1),(132,1),(134,1)}
       120:{1,2,4,6,7}:{(101,1),(104,1),(134,1),(135,1),(149,1)}
       121:{1,4,5,7}:{(102,1),(103,1),(108,1),(135,1)}
       122:{1,3,5,6,7}:{(103,1),(104,1),(106,1),(109,1),(134,1),(135,1),(136,1)}
       123:{1,4,6,7}:{(105,1),(106,1),(110,1),(136,1)}
       124:{3,4,5,7}:{(107,1),(108,1),(137,1)}
       125:{2,4,6,7}:{(108,1),(109,1),(111,1),(135,1),(137,1)}
       126:{2,5,6,7}:{(110,1),(112,1),(136,1)}
       127:{1,4,5,6,7}:{(111,1),(112,1),(138,1),(153,1)}
       128:{1,3,5,6}:{(113,1),(114,1),(116,1),(139,1),(140,1)}
       129:{1,3,4,7}:{(113,1),(115,1),(117,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(140,1),(141,1)}
       131:{2,4,5,6}:{(116,1),(118,1),(139,1),(142,1)}
       132:{2,3,5,7}:{(116,1),(117,1),(119,1),(140,1),(142,1),(143,1)}
       133:{1,3,4,5,7}:{(118,1),(119,1),(121,1),(124,1),(142,1),(144,1)}
       134:{1,3,6,7}:{(119,1),(120,1),(143,1)}
       135:{1,4,6,7}:{(121,1),(122,1),(125,1)}
       136:{1,5,6,7}:{(123,1),(126,1)}
       137:{3,4,6,7}:{(124,1),(125,1),(146,1)}
       138:{2,4,5,6,7}:{(125,1),(126,1),(127,1),(145,1),(146,1),(152,1)}
       139:{1,4,5,6}:{(128,1),(131,1),(147,1)}
       140:{1,3,5,7}:{(128,1),(129,1),(130,1),(132,1),(147,1),(148,1)}
       141:{1,2,6,7}:{(130,1),(148,1)}
       142:{2,4,5,7}:{(131,1),(132,1),(133,1),(147,1),(149,1)}
       143:{2,3,6,7}:{(132,1),(134,1),(148,1),(149,1)}
       144:{1,3,4,6,7}:{(133,1),(134,1),(135,1),(137,1),(149,1),(150,1)}
       145:{1,4,5,6,7}:{(135,1),(136,1),(138,1),(150,1)}
       146:{3,5,6,7}:{(137,1),(138,1)}
       147:{1,4,5,7}:{(139,1),(140,1),(142,1),(151,1)}
       148:{1,3,6,7}:{(140,1),(141,1),(143,1),(151,1)}
       149:{2,4,6,7}:{(142,1),(143,1),(144,1),(151,1),(152,1)}
       150:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(152,1)}
       151:{1,4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       152:{2,5,6,7}:{(149,1),(150,1),(153,1)}
       153:{1,5,6,7}:{(151,1),(152,1)}

2966 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(101,1)}
         1:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(9,1),(29,1),(98,1),(103,1),(104,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(36,1),(96,1)}
         3:{1,2,4,5,6}:{(6,1),(9,1),(10,1),(11,1),(79,1),(98,1)}
         4:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(13,1),(46,1),(79,1)}
         5:{1,2,3,4,6}:{(11,1),(13,1),(14,1),(46,1)}
         6:{2,4,5,6}:{(1,1),(18,1),(19,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(19,1),(20,1),(23,1),(48,1),(90,1),(100,1),(102,1)}
         8:{2,3,4,6,7}:{(2,1),(20,1),(21,1),(56,1),(87,1)}
         9:{1,3,5,6}:{(3,1),(18,1),(22,1),(23,1)}
        10:{1,2,4,5,7}:{(3,1),(19,1),(23,1),(24,1),(26,1),(64,1),(90,1)}
        11:{1,2,4,6}:{(4,1),(22,1),(25,1),(26,1)}
        12:{1,2,3,5,7}:{(4,1),(23,1),(26,1),(27,1),(64,1)}
        13:{1,2,3,5}:{(5,1),(25,1)}
        14:{1,2,3,4,7}:{(5,1),(26,1),(28,1)}
        15:{1,2,4,5,6}:{(6,1),(29,1),(30,1),(31,1),(94,1),(103,1)}
        16:{1,2,3,5,6}:{(29,1),(31,1),(32,1),(33,1),(71,1),(94,1)}
        17:{1,2,3,4,6}:{(31,1),(33,1),(34,1),(71,1)}
        18:{2,3,5,6}:{(6,1),(9,1),(29,1),(35,1),(36,1)}
        19:{2,4,5,7}:{(6,1),(7,1),(36,1),(37,1)}
        20:{1,3,4,6,7}:{(7,1),(8,1),(37,1),(38,1),(42,1),(67,1),(78,1),(93,1),(97,1)}
        21:{2,3,5,6,7}:{(8,1),(38,1),(39,1)}
        22:{1,3,4,6}:{(9,1),(11,1),(35,1),(40,1),(41,1)}
        23:{1,3,5,7}:{(9,1),(10,1),(36,1),(41,1),(42,1)}
        24:{1,2,4,6,7}:{(10,1),(37,1),(42,1),(43,1),(78,1)}
        25:{1,2,4,5}:{(11,1),(13,1),(40,1)}
        26:{1,2,4,7}:{(11,1),(12,1),(41,1)}
        27:{1,2,3,6,7}:{(12,1),(42,1),(45,1),(46,1)}
        28:{1,2,3,5,7}:{(13,1),(14,1),(44,1),(46,1)}
        29:{1,3,5,6}:{(15,1),(18,1),(47,1),(48,1)}
        30:{1,2,4,5,7}:{(15,1),(19,1),(48,1),(49,1),(51,1),(84,1),(100,1)}
        31:{1,2,4,6}:{(16,1),(47,1),(50,1),(51,1)}
        32:{1,2,3,5,7}:{(16,1),(48,1),(51,1),(52,1),(84,1)}
        33:{1,2,3,5}:{(17,1),(50,1)}
        34:{1,2,3,4,7}:{(17,1),(51,1),(53,1)}
        35:{2,3,4,6}:{(18,1),(22,1),(47,1),(54,1),(55,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(48,1),(55,1),(56,1)}
        37:{2,4,6,7}:{(19,1),(20,1),(56,1),(57,1)}
        38:{1,3,5,6,7}:{(20,1),(21,1),(57,1),(58,1),(88,1)}
        39:{2,4,5,6,7}:{(21,1),(58,1),(59,1),(87,1)}
        40:{1,3,4,5}:{(22,1),(25,1),(54,1)}
        41:{1,3,4,7}:{(22,1),(23,1),(26,1),(55,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(56,1)}
        43:{1,2,5,6,7}:{(24,1),(57,1),(62,1),(64,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(60,1),(63,1),(64,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(61,1),(63,1),(64,1)}
        46:{1,2,3,6}:{(28,1),(63,1)}
        47:{1,3,4,6}:{(29,1),(31,1),(35,1),(65,1),(66,1)}
        48:{1,3,5,7}:{(29,1),(30,1),(36,1),(66,1),(67,1)}
        49:{1,2,4,6,7}:{(30,1),(37,1),(67,1),(68,1),(93,1)}
        50:{1,2,4,5}:{(31,1),(33,1),(65,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(66,1)}
        52:{1,2,3,6,7}:{(32,1),(67,1),(70,1),(71,1)}
        53:{1,2,3,5,7}:{(33,1),(34,1),(69,1),(71,1)}
        54:{2,3,4,5}:{(35,1),(40,1),(65,1)}
        55:{2,3,4,7}:{(35,1),(36,1),(41,1),(66,1)}
        56:{2,3,6,7}:{(36,1),(37,1),(42,1),(67,1)}
        57:{2,5,6,7}:{(37,1),(38,1)}
        58:{1,4,5,6,7}:{(38,1),(39,1),(75,1),(78,1),(93,1)}
        59:{3,4,5,6,7}:{(39,1),(97,1)}
        60:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(72,1),(76,1),(77,1)}
        61:{1,3,4,6,7}:{(41,1),(42,1),(45,1),(73,1),(76,1),(77,1),(78,1)}
        62:{1,3,5,6,7}:{(42,1),(43,1),(74,1),(77,1),(78,1)}
        63:{1,2,4,6}:{(44,1),(46,1),(76,1),(79,1)}
        64:{1,2,5,7}:{(45,1),(77,1),(79,1)}
        65:{1,3,4,5}:{(47,1),(50,1),(54,1)}
        66:{1,3,4,7}:{(47,1),(48,1),(51,1),(55,1)}
        67:{1,3,6,7}:{(48,1),(49,1),(56,1)}
        68:{1,2,5,6,7}:{(49,1),(57,1),(82,1),(84,1)}
        69:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(80,1),(83,1),(84,1)}
        70:{1,2,4,6,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        71:{1,2,3,6}:{(53,1),(83,1)}
        72:{2,3,4,5,7}:{(54,1),(55,1),(60,1),(80,1),(85,1),(86,1)}
        73:{2,3,4,6,7}:{(55,1),(56,1),(61,1),(81,1),(85,1),(86,1),(87,1)}
        74:{2,3,5,6,7}:{(56,1),(57,1),(62,1),(82,1),(86,1),(87,1),(88,1)}
        75:{2,4,5,6,7}:{(57,1),(58,1),(87,1),(88,1)}
        76:{1,3,4,6}:{(60,1),(63,1),(85,1),(89,1)}
        77:{1,3,5,7}:{(61,1),(64,1),(86,1),(89,1),(90,1)}
        78:{1,4,6,7}:{(62,1),(87,1),(90,1)}
        79:{1,2,5,6}:{(63,1),(64,1),(89,1)}
        80:{1,3,4,5,7}:{(65,1),(66,1),(69,1),(72,1),(91,1),(92,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(70,1),(73,1),(91,1),(92,1),(93,1)}
        82:{1,3,5,6,7}:{(67,1),(68,1),(74,1),(92,1),(93,1)}
        83:{1,2,4,6}:{(69,1),(71,1),(91,1),(94,1)}
        84:{1,2,5,7}:{(70,1),(92,1),(94,1)}
        85:{2,3,4,6}:{(72,1),(76,1),(91,1),(95,1)}
        86:{2,3,5,7}:{(73,1),(77,1),(92,1),(95,1),(96,1)}
        87:{2,4,6,7}:{(74,1),(78,1),(93,1),(96,1),(97,1)}
        88:{3,5,6,7}:{(75,1),(97,1)}
        89:{1,3,5,6}:{(76,1),(77,1),(79,1),(95,1),(98,1)}
        90:{1,4,5,7}:{(77,1),(78,1),(96,1),(98,1)}
        91:{1,3,4,6}:{(80,1),(83,1),(85,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(84,1),(86,1),(99,1),(100,1)}
        93:{1,4,6,7}:{(82,1),(87,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1)}
        95:{2,3,5,6}:{(85,1),(86,1),(89,1),(99,1),(101,1)}
        96:{2,4,5,7}:{(86,1),(87,1),(90,1),(100,1),(101,1),(102,1)}
        97:{3,4,6,7}:{(87,1),(88,1),(102,1)}
        98:{1,4,5,6}:{(89,1),(90,1),(101,1)}
        99:{1,3,5,6}:{(91,1),(92,1),(94,1),(95,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(93,1),(96,1),(103,1)}
       101:{2,4,5,6}:{(95,1),(96,1),(98,1),(103,1),(104,1)}
       102:{3,4,5,7}:{(96,1),(97,1),(104,1)}
       103:{1,4,5,6}:{(99,1),(100,1),(101,1)}
       104:{3,4,5,6}:{(101,1),(102,1)}

2967 :   0:{1,3,4,5,6,7}:{(1,1),(5,1),(19,1),(42,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(10,1),(28,1),(59,1)}
         2:{2,3,5,6,7}:{(1,1),(4,1),(5,1),(78,1)}
         3:{1,4,5,6,7}:{(1,1),(5,1),(40,1),(79,1)}
         4:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(28,1),(55,1),(97,1)}
         5:{1,3,5,6,7}:{(2,1),(3,1),(9,1),(10,1),(99,1)}
         6:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(25,1),(28,1),(32,1),(50,1),(58,1),(98,1)}
         7:{1,2,3,5,6,7}:{(12,1),(27,1),(31,1),(55,1),(65,1),(86,1),(98,1),(125,1),(139,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(41,1),(73,1)}
         9:{1,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(38,1),(40,1),(115,1)}
        10:{2,5,6,7}:{(5,1),(16,1),(116,1)}
        11:{1,3,5,6,7}:{(6,1),(18,1),(19,1),(38,1),(47,1),(70,1),(77,1)}
        12:{1,2,4,6,7}:{(7,1),(20,1),(21,1),(40,1),(76,1),(83,1),(106,1),(135,1)}
        13:{1,2,3,5,6,7}:{(22,1),(27,1),(49,1),(55,1),(60,1),(91,1),(98,1),(104,1),(131,1)}
        14:{2,3,4,5,6}:{(8,1),(23,1),(59,1),(92,1),(94,1),(97,1)}
        15:{1,3,4,5,7}:{(8,1),(9,1),(23,1),(24,1),(53,1),(58,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(24,1),(26,1),(129,1)}
        17:{1,2,5,6,7}:{(10,1),(25,1),(27,1),(98,1),(104,1),(125,1)}
        18:{2,3,5,6,7}:{(10,1),(11,1),(26,1),(27,1),(28,1),(55,1),(57,1),(65,1),(91,1),(98,1)}
        19:{1,3,4,6,7}:{(11,1),(28,1),(29,1),(62,1),(88,1)}
        20:{1,3,4,6,7}:{(12,1),(30,1),(31,1),(62,1),(122,1),(139,1)}
        21:{1,2,4,5,7}:{(12,1),(31,1),(32,1),(58,1),(61,1),(98,1)}
        22:{1,2,4,6,7}:{(13,1),(33,1),(34,1),(40,1),(76,1),(81,1),(108,1),(120,1)}
        23:{1,3,4,5,6}:{(14,1),(15,1),(35,1),(71,1),(79,1),(112,1),(115,1)}
        24:{2,4,5,7}:{(15,1),(16,1),(35,1),(37,1)}
        25:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(38,1),(40,1),(76,1),(120,1),(135,1)}
        26:{2,3,6,7}:{(16,1),(37,1),(38,1),(137,1)}
        27:{1,3,5,6,7}:{(17,1),(18,1),(38,1),(40,1),(77,1),(85,1),(110,1)}
        28:{2,4,6,7}:{(18,1),(19,1),(40,1),(41,1),(83,1),(108,1)}
        29:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(77,1)}
        30:{2,3,4,6,7}:{(20,1),(45,1),(46,1),(76,1),(83,1),(113,1),(137,1)}
        31:{1,3,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        32:{1,2,4,5,6}:{(21,1),(47,1),(79,1),(83,1),(116,1),(135,1)}
        33:{1,3,4,6,7}:{(22,1),(48,1),(49,1),(88,1),(101,1),(131,1)}
        34:{1,2,4,5,7}:{(22,1),(49,1),(50,1),(58,1),(87,1),(98,1)}
        35:{2,4,5,6}:{(23,1),(24,1),(52,1),(127,1),(129,1)}
        36:{1,2,4,5,7}:{(24,1),(25,1),(51,1),(53,1),(58,1),(95,1),(98,1)}
        37:{2,3,5,7}:{(24,1),(26,1),(52,1),(53,1),(54,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(53,1),(55,1),(131,1),(139,1)}
        39:{2,3,4,6,7}:{(26,1),(28,1),(54,1),(56,1),(57,1),(97,1)}
        40:{1,4,6,7}:{(27,1),(28,1),(58,1),(103,1),(124,1)}
        41:{2,4,5,7}:{(28,1),(29,1),(57,1),(58,1),(59,1),(98,1)}
        42:{1,3,4,5,6}:{(29,1),(59,1),(62,1),(88,1),(99,1)}
        43:{1,3,4,5,7}:{(31,1),(61,1),(62,1)}
        44:{1,2,3,6,7}:{(55,1),(60,1),(63,1),(131,1)}
        45:{1,3,4,6,7}:{(30,1),(63,1),(64,1),(101,1),(103,1),(131,1)}
        46:{2,3,5,7}:{(30,1),(31,1),(61,1),(64,1),(65,1),(98,1)}
        47:{1,3,5,6}:{(31,1),(32,1),(62,1),(65,1),(139,1)}
        48:{2,3,4,6,7}:{(33,1),(68,1),(69,1),(76,1),(108,1),(113,1),(137,1)}
        49:{1,3,5,7}:{(33,1),(34,1),(69,1),(70,1)}
        50:{1,2,4,5,6}:{(34,1),(70,1),(79,1),(108,1),(116,1),(120,1)}
        51:{1,2,4,5,6}:{(35,1),(36,1),(71,1),(79,1),(111,1),(116,1),(118,1),(120,1),(133,1),(135,1)}
        52:{2,3,5,6}:{(35,1),(37,1),(71,1),(72,1),(136,1),(137,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(38,1),(71,1),(73,1),(74,1)}
        54:{2,3,4,7}:{(37,1),(72,1),(74,1)}
        55:{2,3,6,7}:{(38,1),(73,1),(76,1),(137,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(40,1),(74,1),(76,1),(77,1),(115,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(77,1),(78,1)}
        58:{1,4,5,7}:{(40,1),(41,1),(77,1),(79,1)}
        59:{2,4,5,6}:{(41,1),(42,1),(78,1),(79,1),(83,1),(108,1),(116,1)}
        60:{1,2,3,5,7}:{(44,1),(73,1),(80,1),(81,1),(84,1),(119,1)}
        61:{2,4,5,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,3,4,6}:{(43,1),(47,1),(83,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(76,1),(81,1),(84,1),(120,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(82,1),(84,1),(85,1)}
        65:{2,3,5,6}:{(46,1),(47,1),(83,1),(85,1),(116,1),(137,1)}
        66:{1,3,4,5,7}:{(49,1),(87,1),(88,1)}
        67:{1,2,3,6,7}:{(55,1),(86,1),(89,1),(139,1)}
        68:{1,3,4,6,7}:{(48,1),(89,1),(90,1),(122,1),(124,1),(139,1)}
        69:{2,3,5,7}:{(48,1),(49,1),(87,1),(90,1),(91,1),(98,1)}
        70:{1,3,5,6}:{(49,1),(50,1),(88,1),(91,1),(131,1)}
        71:{1,3,5,6}:{(51,1),(52,1),(53,1),(92,1),(93,1),(130,1),(131,1),(138,1),(139,1)}
        72:{2,3,4,6}:{(52,1),(54,1),(93,1),(94,1)}
        73:{2,3,5,7}:{(53,1),(55,1),(92,1),(95,1),(98,1)}
        74:{1,3,4,7}:{(53,1),(54,1),(93,1),(95,1)}
        75:{2,3,4,5,7}:{(54,1),(57,1),(61,1),(87,1),(94,1),(96,1),(97,1),(128,1)}
        76:{2,4,6,7}:{(55,1),(56,1),(95,1),(98,1),(129,1)}
        77:{1,3,5,7}:{(56,1),(57,1),(58,1),(98,1),(99,1)}
        78:{2,3,5,6}:{(57,1),(59,1),(97,1),(99,1)}
        79:{1,4,5,6}:{(58,1),(59,1),(99,1),(103,1),(124,1)}
        80:{1,2,3,5,6}:{(60,1),(92,1),(100,1),(104,1),(130,1),(131,1)}
        81:{1,2,4,7}:{(60,1),(95,1),(100,1),(101,1)}
        82:{1,4,5,7}:{(61,1),(64,1),(103,1)}
        83:{2,4,6}:{(61,1),(62,1),(65,1),(103,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(98,1),(104,1)}
        85:{1,3,5,6}:{(64,1),(65,1),(103,1),(104,1),(131,1)}
        86:{1,2,3,5,7}:{(67,1),(73,1),(105,1),(106,1),(109,1),(134,1)}
        87:{2,4,5,7}:{(66,1),(69,1),(107,1),(108,1)}
        88:{1,3,4,6}:{(66,1),(70,1),(108,1)}
        89:{1,2,4,6,7}:{(67,1),(68,1),(76,1),(106,1),(109,1),(135,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(107,1),(109,1),(110,1)}
        91:{2,3,5,6}:{(69,1),(70,1),(108,1),(110,1),(116,1),(137,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(116,1),(136,1),(137,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(74,1),(111,1),(112,1)}
        94:{2,3,4,5}:{(72,1),(112,1),(136,1)}
        95:{2,4,7}:{(73,1),(74,1),(111,1)}
        96:{1,3,4,5,7}:{(74,1),(75,1),(77,1),(82,1),(107,1),(112,1),(114,1),(115,1),(119,1),(134,1)}
        97:{2,3,4,6}:{(75,1),(78,1),(83,1),(108,1),(115,1),(137,1)}
        98:{2,5,7}:{(76,1),(77,1),(116,1)}
        99:{1,3,5,6}:{(77,1),(78,1),(79,1),(115,1),(116,1)}
       100:{1,2,4,6}:{(80,1),(81,1),(111,1),(117,1),(118,1)}
       101:{1,3,4,7}:{(81,1),(113,1),(117,1),(119,1)}
       102:{1,2,4,5,7}:{(81,1),(82,1),(84,1),(114,1),(118,1),(119,1),(120,1)}
       103:{1,4,6}:{(82,1),(83,1),(85,1)}
       104:{1,2,5,6}:{(84,1),(85,1),(116,1),(120,1)}
       105:{1,2,3,5,6}:{(86,1),(92,1),(121,1),(125,1),(138,1),(139,1)}
       106:{1,2,4,7}:{(86,1),(95,1),(121,1),(122,1)}
       107:{1,4,5,7}:{(87,1),(90,1),(124,1)}
       108:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       109:{1,2,5,7}:{(89,1),(90,1),(98,1),(125,1)}
       110:{1,3,5,6}:{(90,1),(91,1),(124,1),(125,1),(139,1)}
       111:{2,4,6}:{(92,1),(93,1),(95,1),(127,1)}
       112:{1,3,4,5}:{(93,1),(94,1),(127,1),(130,1),(138,1)}
       113:{2,3,4,7}:{(95,1),(101,1),(122,1),(126,1),(128,1)}
       114:{2,4,5,7}:{(95,1),(96,1),(98,1),(127,1),(128,1),(129,1)}
       115:{1,3,4,6}:{(96,1),(97,1),(99,1),(103,1),(124,1),(129,1),(131,1),(139,1)}
       116:{2,5,6}:{(98,1),(99,1),(129,1)}
       117:{1,3,4,6}:{(100,1),(101,1),(126,1),(130,1),(131,1)}
       118:{1,2,4,5}:{(100,1),(127,1),(130,1)}
       119:{1,3,5,7}:{(101,1),(102,1),(128,1),(130,1),(131,1)}
       120:{1,2,4,6}:{(102,1),(103,1),(104,1),(129,1),(131,1)}
       121:{1,2,4,6}:{(105,1),(106,1),(111,1),(132,1),(133,1)}
       122:{1,3,4,7}:{(106,1),(113,1),(132,1),(134,1)}
       123:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(133,1),(134,1),(135,1)}
       124:{1,4,6}:{(107,1),(108,1),(110,1)}
       125:{1,2,5,6}:{(109,1),(110,1),(116,1),(135,1)}
       126:{2,3,4,6}:{(111,1),(113,1),(117,1),(132,1),(136,1),(137,1)}
       127:{2,4,5}:{(111,1),(112,1),(136,1)}
       128:{2,3,5,7}:{(113,1),(114,1),(119,1),(134,1),(136,1),(137,1)}
       129:{2,4,6}:{(114,1),(115,1),(116,1),(137,1)}
       130:{1,3,5}:{(117,1),(118,1),(136,1)}
       131:{1,3,6}:{(119,1),(120,1),(137,1)}
       132:{1,3,4,6}:{(121,1),(122,1),(126,1),(138,1),(139,1)}
       133:{1,2,4,5}:{(121,1),(127,1),(138,1)}
       134:{1,3,5,7}:{(122,1),(123,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,6}:{(123,1),(124,1),(125,1),(129,1),(139,1)}
       136:{2,3,5}:{(126,1),(127,1),(130,1),(138,1)}
       137:{2,3,6}:{(128,1),(129,1),(131,1),(139,1)}
       138:{1,3,5}:{(132,1),(133,1),(136,1)}
       139:{1,3,6}:{(134,1),(135,1),(137,1)}

2968 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(61,1),(62,1),(89,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(77,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(89,1),(90,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(19,1),(42,1),(74,1),(75,1),(98,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(19,1),(99,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(55,1),(89,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(29,1),(92,1),(93,1),(103,1),(104,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(19,1),(21,1),(98,1),(99,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(22,1)}
        15:{1,3,4,5,7}:{(10,1),(22,1),(23,1),(43,1),(99,1),(100,1)}
        16:{1,3,4,5,6,7}:{(25,1),(39,1),(51,1)}
        17:{1,3,4,5,6}:{(12,1),(26,1),(27,1)}
        18:{1,2,4,5,6,7}:{(11,1),(28,1),(37,1),(55,1),(66,1),(85,1),(86,1),(101,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(13,1),(29,1)}
        20:{2,3,5,6}:{(12,1),(14,1),(27,1),(29,1),(30,1)}
        21:{2,3,4,6,7}:{(13,1),(14,1),(29,1),(31,1),(55,1),(91,1),(92,1),(102,1),(103,1)}
        22:{1,3,4,6}:{(14,1),(15,1),(30,1),(32,1)}
        23:{1,2,4,5,7}:{(15,1),(32,1),(33,1),(59,1),(89,1),(90,1)}
        24:{2,3,4,5,6}:{(27,1),(34,1),(35,1),(84,1)}
        25:{2,4,5,6,7}:{(16,1),(36,1),(37,1),(55,1),(66,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(39,1),(40,1)}
        27:{2,4,5,6}:{(17,1),(20,1),(40,1),(41,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(39,1),(42,1),(98,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(21,1),(40,1),(43,1)}
        30:{1,3,5,6}:{(20,1),(22,1),(41,1),(43,1),(44,1)}
        31:{1,3,4,6,7}:{(21,1),(22,1),(43,1),(45,1),(71,1),(98,1),(99,1)}
        32:{1,2,4,6}:{(22,1),(23,1),(44,1),(46,1)}
        33:{1,2,3,5,7}:{(23,1),(46,1),(47,1),(77,1)}
        34:{2,3,4,5,7}:{(24,1),(40,1),(48,1),(49,1),(96,1)}
        35:{1,3,4,5,6}:{(24,1),(41,1),(49,1),(50,1),(73,1)}
        36:{2,3,5,6,7}:{(25,1),(48,1),(51,1)}
        37:{1,4,5,6,7}:{(25,1),(51,1),(71,1)}
        38:{2,3,4,5,6}:{(27,1),(52,1),(53,1),(65,1)}
        39:{1,3,4,6,7}:{(26,1),(28,1),(55,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(29,1),(55,1),(56,1)}
        41:{1,4,5,6}:{(27,1),(30,1),(56,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(58,1),(66,1),(91,1),(101,1),(102,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(59,1)}
        44:{1,2,5,6}:{(30,1),(32,1),(59,1)}
        45:{1,2,4,6,7}:{(31,1),(32,1),(59,1),(61,1),(89,1)}
        46:{1,2,3,6}:{(32,1),(33,1)}
        47:{1,2,3,4,7}:{(33,1),(62,1),(89,1)}
        48:{2,3,4,6,7}:{(34,1),(36,1),(55,1),(63,1),(102,1)}
        49:{1,3,4,5,7}:{(34,1),(35,1),(56,1),(63,1),(64,1),(87,1)}
        50:{2,4,5,6}:{(35,1),(64,1),(65,1)}
        51:{1,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(40,1),(67,1),(68,1),(79,1)}
        53:{1,3,4,5,6}:{(38,1),(41,1),(68,1),(69,1),(73,1)}
        54:{1,3,4,5,6,7}:{(39,1),(70,1),(94,1)}
        55:{2,4,6,7}:{(39,1),(40,1),(42,1),(71,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(43,1),(71,1)}
        57:{1,2,4,5,6}:{(41,1),(44,1),(50,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6,7}:{(42,1),(43,1),(71,1),(74,1),(98,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(45,1)}
        60:{1,2,3,5,6}:{(44,1),(46,1),(73,1),(75,1),(76,1),(77,1)}
        61:{1,2,3,6,7}:{(45,1),(46,1),(75,1),(98,1)}
        62:{1,2,3,4,6}:{(46,1),(47,1),(76,1),(77,1)}
        63:{1,3,4,6,7}:{(48,1),(49,1),(51,1),(71,1),(78,1),(98,1)}
        64:{2,4,5,7}:{(49,1),(50,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(73,1),(79,1),(80,1)}
        66:{2,5,6,7}:{(51,1),(78,1)}
        67:{2,3,4,6,7}:{(52,1),(55,1),(81,1),(82,1),(91,1)}
        68:{1,3,4,5,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(87,1)}
        69:{2,4,5,6}:{(53,1),(83,1),(84,1)}
        70:{2,4,5,6,7}:{(54,1),(55,1),(81,1),(85,1),(101,1)}
        71:{1,4,6,7}:{(55,1),(56,1),(58,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(59,1),(64,1),(83,1),(86,1),(87,1),(89,1)}
        73:{1,3,5,6}:{(57,1),(65,1),(84,1),(87,1),(88,1)}
        74:{1,2,5,6,7}:{(58,1),(59,1),(66,1),(86,1),(101,1)}
        75:{1,2,3,5,7}:{(59,1),(60,1),(61,1),(87,1),(89,1)}
        76:{1,2,4,6}:{(60,1),(88,1),(89,1),(90,1)}
        77:{1,2,3,5}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(64,1),(66,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(87,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(88,1),(92,1),(93,1)}
        81:{2,3,5,6,7}:{(67,1),(70,1),(94,1)}
        82:{1,3,4,6,7}:{(67,1),(68,1),(71,1),(94,1),(95,1),(98,1)}
        83:{2,4,5,7}:{(68,1),(69,1),(95,1),(96,1)}
        84:{2,3,5,6}:{(69,1),(73,1),(96,1),(97,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(94,1)}
        86:{1,2,4,6,7}:{(71,1),(72,1),(74,1),(78,1),(95,1),(98,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(79,1),(96,1),(98,1),(99,1)}
        88:{1,3,4,6}:{(73,1),(76,1),(80,1),(97,1),(99,1),(100,1)}
        89:{1,2,4,7}:{(75,1),(76,1),(99,1)}
        90:{1,2,4,5}:{(76,1),(77,1),(100,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(98,1)}
        92:{2,3,4,7}:{(79,1),(80,1),(99,1)}
        93:{2,3,4,5}:{(80,1),(100,1)}
        94:{1,3,5,6,7}:{(81,1),(82,1),(85,1),(101,1)}
        95:{2,4,6,7}:{(82,1),(83,1),(101,1),(102,1)}
        96:{2,3,5,7}:{(83,1),(84,1),(87,1),(102,1),(103,1)}
        97:{2,3,4,6}:{(84,1),(88,1),(103,1),(104,1)}
        98:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        99:{1,3,4,7}:{(87,1),(88,1),(89,1),(92,1),(103,1)}
       100:{1,3,4,5}:{(88,1),(90,1),(93,1),(104,1)}
       101:{2,5,6,7}:{(94,1),(95,1)}
       102:{2,3,6,7}:{(95,1),(96,1),(98,1)}
       103:{2,3,4,7}:{(96,1),(97,1),(99,1)}
       104:{2,3,4,5}:{(97,1),(100,1)}

2969 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(49,1),(79,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(10,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(36,1),(38,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(36,1),(69,1),(74,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(91,1)}
        10:{1,3,4,5}:{(5,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(26,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(24,1),(26,1),(54,1),(55,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(27,1),(29,1),(59,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(28,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(28,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(54,1),(83,1),(86,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(81,1),(99,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(35,1),(37,1),(70,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(16,1),(34,1),(36,1),(37,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(14,1),(39,1),(71,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(36,1),(38,1),(40,1),(64,1),(69,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(37,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(42,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(44,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(44,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(71,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(80,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(49,1),(50,1)}
        35:{1,3,4,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,5,6}:{(22,1),(25,1),(28,1),(49,1),(54,1)}
        37:{1,3,4,7}:{(22,1),(26,1),(29,1),(50,1),(54,1)}
        38:{1,2,5,6}:{(23,1),(52,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(53,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(54,1),(55,1),(56,1),(78,1),(83,1)}
        41:{2,3,4,5,6}:{(28,1),(51,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(27,1),(52,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(27,1),(29,1),(53,1),(59,1),(60,1),(87,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(30,1),(54,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(60,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(99,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(64,1),(67,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(36,1),(41,1),(64,1),(68,1),(69,1),(90,1)}
        52:{1,3,5,6}:{(35,1),(38,1),(42,1),(65,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(35,1),(37,1),(39,1),(43,1),(66,1),(70,1),(71,1),(94,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(71,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(70,1)}
        56:{1,2,4,6,7}:{(40,1),(45,1),(71,1),(72,1),(89,1),(94,1)}
        57:{2,3,4,5,7}:{(41,1),(44,1),(68,1),(73,1),(75,1)}
        58:{2,4,5,6}:{(42,1),(69,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(70,1),(75,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(71,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(49,1),(51,1),(78,1)}
        65:{2,3,5,6}:{(48,1),(52,1),(79,1),(80,1)}
        66:{2,3,4,6,7}:{(48,1),(50,1),(53,1),(80,1),(81,1),(99,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(54,1),(78,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(54,1),(57,1),(78,1),(82,1),(83,1),(98,1)}
        69:{1,4,5,6}:{(52,1),(58,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(55,1),(59,1),(80,1),(83,1)}
        71:{1,3,6,7}:{(54,1),(56,1),(60,1),(81,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(84,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(85,1),(87,1)}
        74:{3,4,5,6}:{(58,1),(86,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(83,1),(86,1),(87,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(61,1),(84,1),(87,1),(88,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(87,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(67,1),(68,1),(89,1)}
        79:{2,4,5,6}:{(65,1),(69,1),(90,1),(91,1)}
        80:{2,3,5,7}:{(65,1),(66,1),(70,1),(91,1)}
        81:{2,3,6,7}:{(67,1),(71,1),(89,1)}
        82:{1,3,4,6,7}:{(68,1),(71,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,4,5,7}:{(69,1),(70,1),(75,1),(91,1),(94,1)}
        84:{1,3,5,6,7}:{(70,1),(71,1),(72,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{3,4,5,7}:{(74,1),(75,1),(96,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(94,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(81,1),(82,1),(97,1)}
        90:{3,4,5,6}:{(79,1),(98,1)}
        91:{2,4,5,7}:{(79,1),(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,5,6,7}:{(80,1),(81,1),(84,1),(97,1),(99,1),(104,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(87,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(87,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{3,4,5,7}:{(90,1),(91,1),(103,1)}
        99:{2,4,6,7}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(99,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2970 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2971 :   0:{2,3,4,5,6}:{(2,1),(3,1),(26,1),(30,1),(60,1),(115,1)}
         1:{3,4,5,6,7}:{(4,1),(72,1),(103,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(39,1),(104,1)}
         3:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(18,1),(42,1),(72,1),(79,1),(105,1)}
         4:{2,4,5,6,7}:{(1,1),(8,1),(9,1),(88,1),(90,1)}
         5:{2,3,4,6,7}:{(2,1),(8,1),(10,1),(53,1),(60,1),(88,1)}
         6:{1,3,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(27,1),(52,1),(89,1)}
         7:{2,4,5,6}:{(3,1),(12,1),(13,1),(58,1),(95,1)}
         8:{2,3,5,6,7}:{(4,1),(5,1),(14,1),(75,1)}
         9:{1,4,5,6,7}:{(4,1),(14,1),(15,1),(70,1),(105,1)}
        10:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(16,1),(36,1),(37,1),(70,1),(79,1)}
        11:{1,2,4,5,6}:{(7,1),(17,1),(18,1),(40,1),(47,1),(68,1),(83,1),(102,1),(105,1),(107,1)}
        12:{2,4,5,7}:{(6,1),(7,1),(16,1),(19,1)}
        13:{2,3,5,6}:{(7,1),(18,1),(19,1),(20,1),(77,1),(108,1)}
        14:{1,3,5,6,7}:{(8,1),(9,1),(10,1),(22,1),(23,1),(93,1)}
        15:{2,4,5,6,7}:{(9,1),(22,1),(23,1),(51,1),(115,1)}
        16:{2,4,6,7}:{(10,1),(12,1),(22,1),(25,1),(95,1)}
        17:{1,2,4,5,7}:{(11,1),(12,1),(24,1),(27,1),(57,1),(89,1),(92,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(26,1),(27,1),(28,1),(63,1),(86,1),(98,1),(113,1)}
        19:{2,3,5,7}:{(12,1),(13,1),(25,1),(27,1),(29,1)}
        20:{2,3,4,6}:{(13,1),(28,1),(29,1),(30,1)}
        21:{1,2,3,5,6}:{(26,1),(31,1),(32,1),(63,1),(97,1),(98,1)}
        22:{2,5,6,7}:{(14,1),(16,1),(107,1)}
        23:{3,5,6,7}:{(15,1),(36,1),(122,1)}
        24:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(70,1),(73,1),(83,1),(102,1)}
        25:{2,3,6,7}:{(16,1),(19,1),(37,1),(108,1)}
        26:{2,3,5,6}:{(18,1),(39,1),(40,1),(77,1),(107,1),(108,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(19,1),(37,1),(39,1),(41,1)}
        28:{1,3,4,6}:{(18,1),(20,1),(40,1),(41,1),(42,1)}
        29:{2,3,4,7}:{(19,1),(20,1),(41,1)}
        30:{2,3,4,5}:{(20,1),(42,1),(77,1)}
        31:{1,2,3,5,7}:{(21,1),(39,1),(44,1),(46,1),(81,1),(82,1)}
        32:{1,2,4,6}:{(21,1),(40,1),(45,1),(46,1),(47,1)}
        33:{1,2,3,5,6}:{(26,1),(48,1),(49,1),(86,1),(112,1),(113,1)}
        34:{1,2,5,6,7}:{(22,1),(24,1),(50,1),(92,1),(97,1),(112,1)}
        35:{2,3,5,6,7}:{(22,1),(23,1),(25,1),(50,1),(51,1),(55,1),(117,1)}
        36:{3,4,6,7}:{(23,1),(51,1),(52,1),(125,1)}
        37:{1,3,6,7}:{(24,1),(25,1),(27,1),(53,1),(98,1),(113,1)}
        38:{2,3,4,6,7}:{(25,1),(29,1),(51,1),(54,1),(55,1),(60,1)}
        39:{2,3,5,7}:{(26,1),(27,1),(53,1),(57,1),(92,1)}
        40:{2,4,6}:{(26,1),(28,1),(57,1),(58,1)}
        41:{1,3,4,7}:{(27,1),(28,1),(29,1),(57,1)}
        42:{1,3,4,5}:{(28,1),(30,1),(58,1),(63,1),(86,1)}
        43:{2,3,4,5,7}:{(29,1),(30,1),(55,1),(59,1),(60,1),(94,1),(116,1)}
        44:{1,2,3,6,7}:{(31,1),(53,1),(61,1),(98,1)}
        45:{1,3,4,6}:{(32,1),(56,1),(62,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(31,1),(32,1),(57,1),(62,1)}
        47:{1,2,4,5}:{(32,1),(58,1),(63,1)}
        48:{1,2,3,5,7}:{(33,1),(39,1),(65,1),(67,1),(100,1),(101,1)}
        49:{1,2,4,6}:{(33,1),(40,1),(66,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(34,1),(35,1),(37,1),(69,1),(70,1),(74,1),(110,1),(120,1)}
        51:{2,4,6,7}:{(35,1),(36,1),(70,1),(71,1),(123,1)}
        52:{3,4,5,7}:{(36,1),(71,1),(72,1)}
        53:{2,3,6,7}:{(37,1),(39,1),(73,1),(108,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(41,1),(70,1),(73,1),(74,1),(79,1),(103,1)}
        55:{2,3,5,7}:{(38,1),(71,1),(74,1),(75,1)}
        56:{2,3,4,6}:{(40,1),(45,1),(66,1),(76,1),(77,1),(108,1)}
        57:{2,4,7}:{(39,1),(40,1),(41,1)}
        58:{2,4,5}:{(40,1),(42,1),(77,1)}
        59:{1,3,4,5,7}:{(41,1),(42,1),(43,1),(74,1),(78,1),(79,1),(82,1),(101,1),(109,1),(119,1),(121,1)}
        60:{2,3,4,6}:{(43,1),(75,1),(79,1),(108,1),(123,1)}
        61:{1,2,4,6,7}:{(44,1),(46,1),(73,1),(80,1),(81,1),(83,1)}
        62:{1,3,4,7}:{(45,1),(46,1),(76,1),(82,1)}
        63:{1,3,5}:{(45,1),(47,1),(77,1)}
        64:{1,2,4,5,7}:{(46,1),(47,1),(78,1),(81,1),(82,1),(83,1),(109,1)}
        65:{1,2,3,6,7}:{(48,1),(53,1),(84,1),(113,1)}
        66:{1,3,4,6}:{(49,1),(56,1),(85,1),(86,1),(113,1)}
        67:{1,2,4,7}:{(48,1),(49,1),(57,1),(85,1)}
        68:{1,2,4,5}:{(49,1),(58,1),(86,1)}
        69:{2,3,5,6,7}:{(50,1),(53,1),(88,1),(92,1),(114,1),(117,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(88,1),(89,1),(118,1),(124,1)}
        71:{2,4,5,7}:{(51,1),(52,1),(55,1),(89,1),(90,1)}
        72:{3,4,5,6}:{(52,1),(90,1),(125,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(57,1),(92,1),(95,1)}
        74:{1,3,5,7}:{(54,1),(55,1),(89,1),(92,1),(93,1),(114,1)}
        75:{2,3,5,6}:{(55,1),(60,1),(90,1),(93,1)}
        76:{2,3,4,7}:{(56,1),(57,1),(62,1),(85,1),(94,1)}
        77:{2,3,5}:{(56,1),(58,1),(63,1),(86,1)}
        78:{2,4,5,7}:{(57,1),(58,1),(59,1),(92,1),(94,1),(95,1)}
        79:{1,3,4,6}:{(59,1),(60,1),(93,1),(95,1),(98,1),(113,1),(118,1),(124,1),(125,1)}
        80:{1,3,4,6,7}:{(61,1),(62,1),(91,1),(96,1),(98,1),(118,1)}
        81:{1,2,5,7}:{(61,1),(92,1),(96,1),(97,1)}
        82:{1,3,5,7}:{(62,1),(63,1),(64,1),(94,1),(98,1)}
        83:{1,2,4,6}:{(64,1),(95,1),(97,1),(98,1),(118,1)}
        84:{1,2,4,6,7}:{(65,1),(67,1),(73,1),(99,1),(100,1),(102,1)}
        85:{1,3,4,7}:{(66,1),(67,1),(76,1),(101,1)}
        86:{1,3,5}:{(66,1),(68,1),(77,1)}
        87:{1,2,4,5,7}:{(67,1),(68,1),(78,1),(100,1),(101,1),(102,1),(119,1)}
        88:{2,4,6,7}:{(69,1),(70,1),(103,1),(104,1),(123,1)}
        89:{1,4,5,7}:{(70,1),(71,1),(74,1),(104,1),(105,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(75,1),(105,1),(123,1)}
        91:{2,3,4,6,7}:{(73,1),(76,1),(80,1),(99,1),(103,1),(106,1),(108,1),(123,1)}
        92:{2,5,7}:{(73,1),(74,1),(107,1)}
        93:{1,3,5,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(122,1)}
        94:{2,3,5,7}:{(76,1),(77,1),(78,1),(82,1),(101,1),(108,1)}
        95:{2,4,6}:{(78,1),(79,1),(107,1),(108,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(106,1),(109,1),(110,1)}
        97:{1,2,5,6}:{(81,1),(83,1),(107,1),(110,1)}
        98:{1,3,6}:{(82,1),(83,1),(108,1)}
        99:{1,3,4,6,7}:{(84,1),(85,1),(91,1),(111,1),(113,1),(124,1)}
       100:{1,2,5,7}:{(84,1),(92,1),(111,1),(112,1)}
       101:{1,3,5,7}:{(85,1),(86,1),(87,1),(94,1),(113,1)}
       102:{1,2,4,6}:{(87,1),(95,1),(112,1),(113,1),(124,1)}
       103:{3,4,6,7}:{(88,1),(114,1),(125,1)}
       104:{2,4,5,7}:{(88,1),(89,1),(92,1),(114,1),(115,1)}
       105:{1,4,5,6}:{(89,1),(90,1),(93,1),(115,1),(118,1),(124,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(96,1),(111,1),(114,1),(116,1),(117,1)}
       107:{2,5,6}:{(92,1),(93,1),(95,1)}
       108:{2,3,6}:{(94,1),(95,1),(98,1),(113,1)}
       109:{1,4,5,7}:{(96,1),(116,1),(118,1)}
       110:{1,3,5,6}:{(96,1),(97,1),(98,1),(117,1),(118,1)}
       111:{1,3,5,7}:{(99,1),(100,1),(106,1),(119,1),(120,1)}
       112:{1,2,5,6}:{(100,1),(102,1),(107,1),(120,1)}
       113:{1,3,6}:{(101,1),(102,1),(108,1)}
       114:{3,5,7}:{(103,1),(104,1),(122,1)}
       115:{2,4,5,6}:{(104,1),(105,1),(107,1),(122,1),(123,1)}
       116:{2,4,5,7}:{(106,1),(109,1),(119,1),(121,1),(123,1)}
       117:{2,3,5,6}:{(106,1),(107,1),(108,1),(110,1),(120,1),(122,1),(123,1)}
       118:{1,4,6}:{(109,1),(110,1),(123,1)}
       119:{1,4,5,7}:{(111,1),(116,1),(124,1)}
       120:{1,3,5,6}:{(111,1),(112,1),(113,1),(117,1),(124,1)}
       121:{3,4,5,7}:{(114,1),(116,1),(125,1)}
       122:{3,5,6}:{(114,1),(115,1),(125,1)}
       123:{2,4,6}:{(116,1),(117,1),(118,1),(124,1),(125,1)}
       124:{1,4,6}:{(119,1),(120,1),(123,1)}
       125:{3,4,6}:{(121,1),(122,1),(123,1)}

2972 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(25,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(29,1),(30,1)}
         4:{1,2,4,5}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(37,1),(41,1)}
         7:{1,2,3,4,7}:{(3,1),(16,1),(47,1)}
         8:{1,2,3,5}:{(3,1),(15,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(49,1),(82,1)}
        10:{1,3,4,5}:{(4,1),(18,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(59,1)}
        12:{1,2,4,6}:{(4,1),(6,1),(22,1),(25,1)}
        13:{1,2,3,6}:{(5,1),(24,1)}
        14:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(55,1),(59,1)}
        15:{1,2,4,5}:{(8,1),(27,1),(29,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(29,1),(30,1),(31,1),(60,1),(64,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(37,1),(60,1),(73,1),(90,1),(94,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(66,1),(95,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(38,1),(39,1),(74,1)}
        22:{1,3,4,6}:{(10,1),(12,1),(33,1),(37,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(34,1),(37,1),(40,1),(41,1),(73,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(38,1),(41,1)}
        25:{1,2,4,7}:{(12,1),(14,1),(39,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(42,1),(72,1)}
        27:{1,3,4,5}:{(15,1),(18,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(46,1),(47,1),(80,1)}
        29:{1,2,4,6}:{(15,1),(17,1),(44,1),(47,1)}
        30:{1,2,3,6}:{(16,1),(46,1)}
        31:{1,2,3,5,7}:{(17,1),(47,1),(48,1),(76,1),(80,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(50,1),(51,1),(83,1)}
        33:{2,3,4,6}:{(18,1),(22,1),(44,1),(49,1),(51,1)}
        34:{2,4,5,6}:{(19,1),(49,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(55,1),(76,1),(88,1),(99,1),(101,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(81,1),(100,1)}
        37:{1,3,5,6}:{(22,1),(23,1),(49,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(24,1),(50,1),(56,1)}
        39:{1,3,4,7}:{(22,1),(25,1),(51,1),(55,1)}
        40:{1,2,4,5,7}:{(23,1),(25,1),(52,1),(55,1),(58,1),(59,1),(88,1)}
        41:{1,2,5,6}:{(24,1),(56,1),(59,1)}
        42:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(57,1),(59,1)}
        43:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(61,1),(62,1),(91,1)}
        44:{1,3,4,6}:{(27,1),(29,1),(33,1),(60,1),(62,1)}
        45:{1,2,4,5,6}:{(29,1),(34,1),(60,1),(63,1),(64,1),(90,1)}
        46:{1,2,4,6}:{(28,1),(30,1),(61,1),(64,1)}
        47:{1,2,4,7}:{(29,1),(31,1),(62,1)}
        48:{1,2,3,6,7}:{(30,1),(31,1),(65,1),(89,1)}
        49:{2,3,5,6}:{(33,1),(34,1),(37,1),(60,1),(66,1)}
        50:{2,3,4,6}:{(32,1),(38,1),(61,1),(67,1)}
        51:{2,3,4,7}:{(33,1),(39,1),(62,1),(66,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(66,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(72,1),(89,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(39,1),(40,1),(66,1),(72,1)}
        56:{1,3,5,6}:{(38,1),(41,1),(67,1),(73,1),(74,1)}
        57:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(68,1),(72,1),(74,1),(97,1)}
        58:{1,2,4,6,7}:{(40,1),(69,1),(72,1),(75,1),(97,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(74,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(49,1),(76,1)}
        61:{1,3,4,6}:{(43,1),(46,1),(50,1),(77,1)}
        62:{1,3,4,7}:{(44,1),(47,1),(51,1),(76,1)}
        63:{1,2,4,5,7}:{(45,1),(47,1),(52,1),(76,1),(79,1),(80,1),(99,1)}
        64:{1,2,5,6}:{(46,1),(77,1),(80,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(78,1),(80,1)}
        66:{2,3,5,7}:{(49,1),(51,1),(52,1),(55,1),(76,1),(81,1)}
        67:{2,3,5,6}:{(50,1),(56,1),(77,1),(82,1),(83,1)}
        68:{2,3,4,6,7}:{(50,1),(51,1),(57,1),(78,1),(81,1),(83,1),(100,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(81,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(100,1)}
        72:{1,3,6,7}:{(55,1),(58,1),(81,1)}
        73:{1,4,5,6}:{(56,1),(82,1),(88,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(59,1),(83,1),(88,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(87,1)}
        76:{1,3,5,7}:{(60,1),(62,1),(63,1),(66,1),(89,1)}
        77:{1,3,5,6}:{(61,1),(64,1),(67,1),(90,1),(91,1)}
        78:{1,3,4,6,7}:{(61,1),(62,1),(65,1),(68,1),(89,1),(91,1),(103,1)}
        79:{1,2,4,6,7}:{(63,1),(69,1),(89,1),(92,1),(103,1)}
        80:{1,2,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,3,6,7}:{(66,1),(69,1),(72,1),(89,1)}
        82:{2,4,5,6}:{(67,1),(73,1),(90,1),(94,1),(95,1)}
        83:{2,3,5,7}:{(67,1),(68,1),(74,1),(91,1),(95,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,3,5,6,7}:{(72,1),(74,1),(75,1),(93,1),(97,1)}
        88:{1,4,5,7}:{(73,1),(74,1),(95,1),(97,1)}
        89:{1,3,6,7}:{(76,1),(79,1),(81,1)}
        90:{1,4,5,6}:{(77,1),(82,1),(99,1)}
        91:{1,3,5,7}:{(77,1),(78,1),(80,1),(83,1),(99,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(98,1)}
        93:{2,3,5,6,7}:{(81,1),(83,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        94:{3,4,5,6}:{(82,1),(101,1)}
        95:{2,4,5,7}:{(82,1),(83,1),(88,1),(99,1),(100,1),(101,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(100,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(100,1)}
        98:{1,3,5,6,7}:{(89,1),(91,1),(92,1),(93,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(91,1),(95,1),(103,1)}
       100:{2,4,6,7}:{(93,1),(95,1),(97,1),(103,1),(104,1)}
       101:{3,4,5,7}:{(94,1),(95,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(100,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

2973 :   0:{1,2,3,4,6}:{(2,1),(3,1),(19,1),(22,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(28,1),(93,1)}
         2:{1,2,3,5}:{(0,1),(8,1)}
         3:{1,2,3,4,7}:{(0,1),(10,1),(36,1)}
         4:{1,2,3,4,6}:{(11,1),(12,1),(42,1),(45,1)}
         5:{1,3,4,5,6}:{(1,1),(13,1),(14,1),(17,1),(40,1),(86,1),(98,1),(101,1)}
         6:{2,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(100,1)}
         7:{1,2,4,5,6}:{(13,1),(17,1),(18,1),(19,1),(57,1),(86,1)}
         8:{1,2,4,5}:{(2,1),(16,1),(19,1)}
         9:{1,2,3,5,6}:{(2,1),(17,1),(19,1),(21,1),(22,1),(57,1)}
        10:{1,2,3,5,7}:{(2,1),(3,1),(20,1),(22,1)}
        11:{1,2,3,5}:{(4,1),(24,1)}
        12:{1,2,3,4,7}:{(4,1),(26,1),(62,1)}
        13:{2,4,5,6}:{(5,1),(28,1),(29,1)}
        14:{1,3,4,5,7}:{(5,1),(6,1),(29,1),(30,1),(34,1),(60,1),(96,1),(103,1),(104,1)}
        15:{2,3,4,6,7}:{(6,1),(30,1),(31,1),(67,1),(94,1)}
        16:{1,3,4,5}:{(8,1),(27,1),(32,1)}
        17:{1,3,5,6}:{(7,1),(28,1),(32,1),(34,1)}
        18:{1,2,4,5,7}:{(7,1),(29,1),(34,1),(35,1),(36,1),(74,1),(96,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1)}
        20:{1,2,4,5,7}:{(8,1),(10,1),(33,1),(36,1),(37,1),(74,1)}
        21:{1,2,3,5,7}:{(9,1),(34,1),(36,1),(38,1),(74,1)}
        22:{1,2,3,6}:{(10,1),(37,1)}
        23:{1,2,4,5,6}:{(13,1),(40,1),(41,1),(42,1),(80,1),(98,1)}
        24:{1,2,4,5}:{(11,1),(39,1),(42,1)}
        25:{1,2,3,5,6}:{(11,1),(40,1),(42,1),(44,1),(45,1),(80,1)}
        26:{1,2,3,5,7}:{(11,1),(12,1),(43,1),(45,1)}
        27:{2,3,4,5}:{(16,1),(39,1),(46,1)}
        28:{2,3,5,6}:{(13,1),(17,1),(40,1),(46,1),(48,1)}
        29:{2,4,5,7}:{(13,1),(14,1),(48,1),(49,1)}
        30:{1,3,4,6,7}:{(14,1),(15,1),(49,1),(50,1),(54,1),(77,1),(87,1),(99,1),(102,1)}
        31:{2,3,5,6,7}:{(15,1),(50,1),(51,1)}
        32:{1,3,4,6}:{(16,1),(17,1),(19,1),(46,1),(52,1)}
        33:{1,3,4,5,7}:{(16,1),(20,1),(47,1),(52,1),(53,1),(85,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(48,1),(52,1),(54,1)}
        35:{1,2,4,6,7}:{(18,1),(49,1),(54,1),(55,1),(87,1)}
        36:{1,2,4,7}:{(19,1),(21,1),(52,1)}
        37:{1,2,4,6}:{(20,1),(22,1),(53,1),(57,1)}
        38:{1,2,3,6,7}:{(21,1),(22,1),(54,1),(56,1)}
        39:{1,3,4,5}:{(24,1),(27,1),(58,1)}
        40:{1,3,5,6}:{(23,1),(28,1),(58,1),(60,1)}
        41:{1,2,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(62,1),(91,1),(103,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(58,1),(62,1)}
        43:{1,2,4,5,7}:{(24,1),(26,1),(59,1),(62,1),(63,1),(91,1)}
        44:{1,2,3,5,7}:{(25,1),(60,1),(62,1),(64,1),(91,1)}
        45:{1,2,3,6}:{(26,1),(63,1)}
        46:{2,3,4,6}:{(27,1),(28,1),(32,1),(58,1),(65,1)}
        47:{2,3,4,5,7}:{(27,1),(33,1),(59,1),(65,1),(66,1),(92,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(34,1),(60,1),(65,1),(67,1)}
        49:{2,4,6,7}:{(29,1),(30,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(30,1),(31,1),(68,1),(69,1),(95,1)}
        51:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(94,1)}
        52:{1,3,4,7}:{(32,1),(34,1),(36,1),(65,1)}
        53:{1,3,4,6}:{(33,1),(37,1),(66,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(67,1)}
        55:{1,2,5,6,7}:{(35,1),(68,1),(73,1),(74,1)}
        56:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(71,1),(74,1)}
        57:{1,2,5,6}:{(37,1),(72,1),(74,1)}
        58:{1,3,4,6}:{(39,1),(40,1),(42,1),(46,1),(75,1)}
        59:{1,3,4,5,7}:{(39,1),(43,1),(47,1),(75,1),(76,1),(97,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(48,1),(75,1),(77,1)}
        61:{1,2,4,6,7}:{(41,1),(49,1),(77,1),(78,1),(99,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(75,1)}
        63:{1,2,4,6}:{(43,1),(45,1),(76,1),(80,1)}
        64:{1,2,3,6,7}:{(44,1),(45,1),(77,1),(79,1)}
        65:{2,3,4,7}:{(46,1),(48,1),(52,1),(75,1)}
        66:{2,3,4,6}:{(47,1),(53,1),(76,1),(82,1)}
        67:{2,3,6,7}:{(48,1),(49,1),(54,1),(77,1)}
        68:{2,5,6,7}:{(49,1),(50,1)}
        69:{1,4,5,6,7}:{(50,1),(51,1),(84,1),(87,1),(99,1)}
        70:{3,4,5,6,7}:{(51,1),(102,1)}
        71:{1,3,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(81,1),(85,1),(87,1)}
        72:{1,3,5,6}:{(53,1),(57,1),(82,1),(85,1),(86,1)}
        73:{1,3,5,6,7}:{(54,1),(55,1),(83,1),(85,1),(87,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(85,1)}
        75:{1,3,4,7}:{(58,1),(60,1),(62,1),(65,1)}
        76:{1,3,4,6}:{(59,1),(63,1),(66,1),(89,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(67,1)}
        78:{1,2,5,6,7}:{(61,1),(68,1),(90,1),(91,1)}
        79:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(88,1),(91,1)}
        80:{1,2,5,6}:{(63,1),(89,1),(91,1)}
        81:{2,3,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(88,1),(92,1),(94,1)}
        82:{2,3,5,6}:{(66,1),(72,1),(89,1),(92,1),(93,1)}
        83:{2,3,5,6,7}:{(67,1),(68,1),(73,1),(90,1),(92,1),(94,1),(95,1)}
        84:{2,4,5,6,7}:{(68,1),(69,1),(94,1),(95,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(74,1),(92,1),(96,1)}
        86:{1,4,5,6}:{(72,1),(93,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(94,1),(96,1)}
        88:{1,3,4,6,7}:{(75,1),(76,1),(77,1),(79,1),(81,1),(97,1),(99,1)}
        89:{1,3,5,6}:{(76,1),(80,1),(82,1),(97,1),(98,1)}
        90:{1,3,5,6,7}:{(77,1),(78,1),(83,1),(97,1),(99,1)}
        91:{1,2,5,7}:{(79,1),(80,1),(97,1)}
        92:{2,3,5,7}:{(81,1),(82,1),(85,1),(97,1),(100,1)}
        93:{2,4,5,6}:{(82,1),(86,1),(98,1),(100,1),(101,1)}
        94:{2,4,6,7}:{(83,1),(87,1),(99,1),(100,1),(102,1)}
        95:{3,5,6,7}:{(84,1),(102,1)}
        96:{1,4,5,7}:{(85,1),(86,1),(87,1),(100,1)}
        97:{1,3,5,7}:{(88,1),(89,1),(91,1),(92,1),(103,1)}
        98:{1,4,5,6}:{(89,1),(93,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(94,1),(103,1)}
       100:{2,4,5,7}:{(92,1),(93,1),(94,1),(96,1),(103,1),(104,1)}
       101:{3,4,5,6}:{(93,1),(104,1)}
       102:{3,4,6,7}:{(94,1),(95,1),(104,1)}
       103:{1,4,5,7}:{(97,1),(98,1),(99,1),(100,1)}
       104:{3,4,5,7}:{(100,1),(101,1),(102,1)}

2974 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(41,1),(45,1),(84,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(62,1),(103,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(72,1),(95,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(84,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(42,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(18,1),(19,1),(82,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(103,1)}
        17:{1,2,4,5,6}:{(11,1),(26,1),(27,1),(60,1),(70,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        18:{2,4,5,7}:{(10,1),(11,1),(25,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(101,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(18,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(42,1),(81,1),(86,1),(114,1)}
        27:{1,3,5,6}:{(17,1),(19,1),(41,1),(42,1),(43,1),(89,1),(111,1),(120,1),(132,1)}
        28:{2,3,5,7}:{(18,1),(19,1),(40,1),(42,1),(44,1)}
        29:{2,3,4,6}:{(19,1),(43,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(52,1),(135,1)}
        33:{1,2,3,5,6}:{(41,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(57,1),(127,1)}
        41:{2,3,5,6}:{(27,1),(59,1),(60,1),(101,1),(126,1),(127,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(61,1)}
        43:{1,3,4,6}:{(27,1),(29,1),(60,1),(61,1),(62,1)}
        44:{2,3,4,7}:{(28,1),(29,1),(61,1)}
        45:{2,3,4,5}:{(29,1),(62,1),(101,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(72,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(59,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(60,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(41,1),(75,1),(76,1),(111,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(42,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(44,1),(47,1),(78,1),(79,1),(84,1)}
        59:{2,3,5,7}:{(41,1),(42,1),(77,1),(81,1),(114,1)}
        60:{2,4,6}:{(41,1),(43,1),(81,1),(82,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(44,1),(81,1)}
        62:{1,3,4,5}:{(43,1),(45,1),(82,1),(89,1),(111,1)}
        63:{2,3,4,5,7}:{(44,1),(45,1),(51,1),(79,1),(83,1),(84,1),(116,1),(133,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(91,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(52,1),(87,1),(115,1),(135,1)}
        68:{1,3,4,6}:{(50,1),(80,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(81,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(82,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(95,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(60,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(65,1),(97,1),(98,1),(103,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,3,4,6}:{(60,1),(68,1),(94,1),(100,1),(101,1),(127,1)}
        81:{2,4,7}:{(59,1),(60,1),(61,1)}
        82:{2,4,5}:{(60,1),(62,1),(101,1)}
        83:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(102,1),(103,1),(107,1),(123,1),(136,1)}
        84:{2,3,4,6}:{(63,1),(72,1),(99,1),(103,1),(127,1),(138,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(72,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(100,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(101,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(102,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,3,4,6}:{(76,1),(80,1),(110,1),(111,1),(132,1)}
        95:{1,2,4,7}:{(75,1),(76,1),(81,1),(110,1)}
        96:{1,2,4,5}:{(76,1),(82,1),(111,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(81,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(84,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(81,1),(88,1),(110,1),(116,1)}
       101:{2,3,5}:{(80,1),(82,1),(89,1),(111,1)}
       102:{2,4,5,7}:{(81,1),(82,1),(83,1),(114,1),(116,1),(117,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(91,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(91,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(95,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,3,5}:{(94,1),(96,1),(101,1)}
       112:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(122,1),(123,1),(124,1),(136,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(103,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(102,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(102,1),(103,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(112,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2975 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

2976 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(25,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(48,1),(80,1)}
         4:{1,2,4,5}:{(2,1),(10,1),(12,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(35,1),(39,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(35,1),(70,1),(75,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(65,1),(92,1)}
        10:{1,3,4,5}:{(4,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(24,1),(25,1),(56,1)}
        12:{1,2,4,6}:{(4,1),(6,1),(22,1),(25,1)}
        13:{1,2,3,6}:{(5,1),(24,1)}
        14:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(52,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(29,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(27,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(27,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(52,1),(84,1),(87,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(79,1),(98,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(36,1),(37,1),(71,1)}
        22:{1,3,4,6}:{(10,1),(12,1),(16,1),(34,1),(35,1),(37,1)}
        23:{1,2,4,5,6}:{(12,1),(17,1),(35,1),(38,1),(39,1),(64,1),(70,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(36,1),(39,1)}
        25:{1,2,4,7}:{(12,1),(14,1),(37,1)}
        26:{1,2,3,6,7}:{(13,1),(14,1),(40,1),(69,1)}
        27:{2,3,5,6}:{(16,1),(17,1),(35,1),(42,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(42,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(42,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(69,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(50,1),(81,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(48,1),(50,1)}
        35:{1,3,5,6}:{(22,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,4,6}:{(21,1),(24,1),(28,1),(49,1),(53,1)}
        37:{1,3,4,7}:{(22,1),(25,1),(29,1),(50,1),(52,1)}
        38:{1,2,4,5,7}:{(23,1),(25,1),(30,1),(52,1),(55,1),(56,1),(78,1),(84,1)}
        39:{1,2,5,6}:{(24,1),(53,1),(56,1)}
        40:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(54,1),(56,1)}
        41:{2,3,4,5,6}:{(27,1),(51,1),(57,1),(59,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(30,1),(52,1),(58,1)}
        43:{2,3,5,6}:{(28,1),(53,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(29,1),(54,1),(58,1),(60,1),(86,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(58,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(98,1)}
        48:{2,3,5,6}:{(34,1),(35,1),(64,1),(65,1)}
        49:{2,3,4,6}:{(33,1),(36,1),(66,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(65,1)}
        51:{1,3,4,5,6}:{(35,1),(41,1),(64,1),(68,1),(70,1),(91,1)}
        52:{1,3,5,7}:{(35,1),(37,1),(38,1),(42,1),(65,1),(69,1)}
        53:{1,3,5,6}:{(36,1),(39,1),(43,1),(66,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(69,1),(71,1),(94,1)}
        55:{1,2,4,6,7}:{(38,1),(45,1),(69,1),(72,1),(89,1),(94,1)}
        56:{1,2,5,7}:{(39,1),(40,1),(71,1)}
        57:{2,3,4,5,7}:{(41,1),(42,1),(68,1),(73,1),(76,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(69,1)}
        59:{2,4,5,6}:{(43,1),(70,1),(75,1),(76,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(71,1),(76,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(48,1),(51,1),(78,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(52,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(49,1),(53,1),(80,1),(81,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(54,1),(79,1),(81,1),(98,1)}
        68:{1,3,4,5,7}:{(51,1),(52,1),(57,1),(78,1),(82,1),(84,1),(99,1)}
        69:{1,3,6,7}:{(52,1),(55,1),(58,1),(79,1)}
        70:{1,4,5,6}:{(53,1),(59,1),(80,1),(84,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(56,1),(60,1),(81,1),(84,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(83,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(82,1),(85,1),(86,1)}
        74:{2,3,5,6,7}:{(58,1),(60,1),(61,1),(83,1),(86,1),(88,1)}
        75:{3,4,5,6}:{(59,1),(87,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(84,1),(86,1),(87,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(86,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(65,1),(68,1),(89,1)}
        79:{2,3,6,7}:{(65,1),(69,1),(89,1)}
        80:{2,4,5,6}:{(66,1),(70,1),(91,1),(92,1)}
        81:{2,3,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        82:{1,3,4,6,7}:{(68,1),(69,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,3,5,6,7}:{(69,1),(71,1),(72,1),(74,1),(90,1),(94,1)}
        84:{1,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{2,4,6,7}:{(74,1),(76,1),(94,1),(96,1)}
        87:{3,4,5,7}:{(75,1),(76,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(79,1),(82,1),(97,1)}
        90:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(97,1),(98,1),(104,1)}
        91:{3,4,5,6}:{(80,1),(99,1)}
        92:{2,4,5,7}:{(80,1),(81,1),(84,1),(98,1),(99,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(86,1),(98,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{2,4,6,7}:{(90,1),(92,1),(94,1),(103,1)}
        99:{3,4,5,7}:{(91,1),(92,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2977 :  0:{1,2,4,5,6,7}:{(1,1),(5,1),(15,1),(26,1),(28,1),(30,1)}
        1:{1,3,5,6,7}:{(0,1),(2,1),(3,1),(19,1),(35,1),(38,1)}
        2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(47,1)}
        3:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(12,1),(28,1),(29,1),(45,1)}
        4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(19,1),(39,1),(55,1)}
        5:{2,4,6,7}:{(2,1),(3,1),(9,1),(10,1),(54,1)}
        6:{1,3,5,6,7}:{(3,1),(10,1),(11,1),(19,1),(23,1),(52,1)}
        7:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(24,1),(29,1),(46,1),(59,1)}
        8:{1,3,4,5,6}:{(4,1),(14,1),(27,1),(47,1)}
        9:{2,4,5,7}:{(4,1),(5,1),(12,1),(14,1),(15,1),(28,1),(46,1),(61,1)}
       10:{1,4,6,7}:{(5,1),(6,1),(15,1),(60,1)}
       11:{1,2,5,6,7}:{(6,1),(16,1),(28,1),(43,1)}
       12:{2,3,5,7}:{(7,1),(9,1),(18,1),(19,1),(65,1)}
       13:{1,3,4,6,7}:{(7,1),(10,1),(19,1),(20,1),(23,1),(32,1),(35,1),(39,1),(53,1),(64,1)}
       14:{2,4,5,6}:{(8,1),(9,1),(18,1),(21,1),(36,1),(54,1)}
       15:{1,4,5,7}:{(9,1),(10,1),(19,1),(21,1),(53,1),(66,1)}
       16:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(22,1),(23,1),(48,1)}
       17:{2,3,4,5,7}:{(12,1),(24,1),(25,1),(46,1),(56,1),(61,1)}
       18:{2,3,5,6}:{(12,1),(14,1),(24,1),(27,1)}
       19:{1,3,5,7}:{(12,1),(13,1),(15,1),(27,1),(28,1),(68,1)}
       20:{2,4,6,7}:{(13,1),(28,1),(29,1),(41,1),(46,1),(67,1)}
       21:{1,4,5,6}:{(14,1),(15,1),(27,1),(60,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(28,1),(30,1),(31,1),(46,1)}
       23:{1,3,6,7}:{(16,1),(29,1),(31,1),(57,1)}
       24:{2,3,4,6}:{(17,1),(18,1),(32,1),(54,1),(62,1)}
       25:{1,3,4,5,7}:{(17,1),(19,1),(32,1),(33,1),(39,1),(49,1),(53,1),(55,1),(66,1)}
       26:{1,2,4,6,7}:{(20,1),(34,1),(35,1),(48,1),(53,1)}
       27:{1,3,5,6}:{(18,1),(19,1),(21,1),(32,1),(36,1)}
       28:{2,5,7}:{(19,1),(20,1),(36,1),(69,1)}
       29:{2,3,6,7}:{(20,1),(23,1),(35,1),(37,1),(50,1),(62,1)}
       30:{1,2,4,5,6}:{(21,1),(22,1),(36,1),(38,1),(48,1),(54,1),(66,1),(69,1)}
       31:{1,3,5,7}:{(22,1),(23,1),(37,1),(38,1),(39,1)}
       32:{1,3,4,6}:{(24,1),(25,1),(27,1),(41,1),(57,1),(60,1)}
       33:{2,4,5,7}:{(25,1),(28,1),(41,1),(42,1),(46,1),(61,1)}
       34:{1,2,5,7}:{(26,1),(28,1),(43,1),(44,1)}
       35:{1,3,6,7}:{(26,1),(29,1),(44,1),(57,1)}
       36:{2,5,6}:{(27,1),(28,1),(41,1)}
       37:{2,3,5,7}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
       38:{1,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(57,1),(68,1)}
       39:{1,3,4,7}:{(31,1),(46,1),(47,1)}
       40:{1,2,4,5,7}:{(33,1),(34,1),(48,1),(49,1),(53,1),(63,1),(66,1),(69,1)}
       41:{2,4,6}:{(32,1),(33,1),(36,1),(50,1)}
       42:{2,3,5,7}:{(33,1),(49,1),(50,1),(51,1),(65,1)}
       43:{1,2,5,6}:{(34,1),(36,1),(48,1),(52,1),(69,1)}
       44:{1,3,5,7}:{(34,1),(35,1),(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(62,1),(65,1),(69,1)}
       46:{2,4,7}:{(37,1),(39,1),(53,1),(54,1)}
       47:{1,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       48:{1,2,4,6}:{(40,1),(41,1),(43,1),(57,1),(60,1),(67,1)}
       49:{1,3,5,7}:{(40,1),(42,1),(56,1),(57,1),(58,1),(68,1)}
       50:{2,3,6}:{(41,1),(42,1),(57,1)}
       51:{2,3,4,7}:{(42,1),(46,1),(58,1),(59,1)}
       52:{1,3,5,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(68,1)}
       53:{1,4,7}:{(44,1),(46,1),(60,1)}
       54:{2,4,6}:{(45,1),(46,1),(47,1),(60,1),(61,1)}
       55:{1,3,4,5}:{(47,1),(61,1),(68,1)}
       56:{2,3,5,7}:{(49,1),(62,1),(63,1),(69,1)}
       57:{1,3,6}:{(48,1),(49,1),(50,1),(62,1)}
       58:{1,3,4,7}:{(49,1),(51,1),(53,1),(63,1),(64,1)}
       59:{2,3,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
       60:{1,4,6}:{(52,1),(53,1),(54,1),(66,1)}
       61:{2,4,5}:{(54,1),(55,1),(65,1),(66,1),(69,1)}
       62:{2,3,6}:{(56,1),(57,1),(67,1)}
       63:{2,4,7}:{(56,1),(58,1),(67,1)}
       64:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(67,1),(68,1)}
       65:{2,3,5}:{(59,1),(61,1),(68,1)}
       66:{1,4,5}:{(60,1),(61,1),(68,1)}
       67:{2,4,6}:{(62,1),(63,1),(64,1),(69,1)}
       68:{1,3,5}:{(64,1),(65,1),(66,1),(69,1)}
       69:{2,5}:{(67,1),(68,1)}

2978 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(22,1),(127,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(34,1),(149,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(159,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(49,1),(164,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(70,1),(100,1),(147,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(34,1),(66,1),(147,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(169,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(31,1),(34,1),(60,1),(69,1),(116,1)}
         8:{1,3,4,5,6,7}:{(15,1),(39,1),(51,1),(78,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(50,1),(85,1)}
        10:{1,3,4,5,6}:{(4,1),(17,1),(18,1),(44,1),(93,1),(123,1),(163,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(17,1),(19,1),(47,1),(49,1),(163,1)}
        12:{2,5,6,7}:{(6,1),(19,1),(173,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(47,1),(84,1),(91,1)}
        14:{2,3,4,5,6}:{(23,1),(24,1),(65,1),(96,1),(115,1),(149,1)}
        15:{2,4,5,6,7}:{(8,1),(25,1),(26,1),(56,1),(70,1),(102,1)}
        16:{1,2,3,5,6,7}:{(27,1),(33,1),(59,1),(66,1),(101,1),(104,1),(110,1),(116,1),(140,1),(154,1),(168,1),(172,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(29,1),(62,1),(69,1)}
        18:{2,4,5,6}:{(10,1),(29,1),(30,1),(145,1),(171,1)}
        19:{2,4,6,7}:{(11,1),(12,1),(29,1),(32,1),(171,1)}
        20:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(116,1),(154,1)}
        21:{2,3,5,6,7}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(68,1),(110,1),(116,1)}
        22:{1,3,4,6,7}:{(13,1),(34,1),(35,1),(107,1)}
        23:{2,3,4,5,7}:{(14,1),(36,1),(37,1),(120,1),(126,1)}
        24:{1,3,4,5,6}:{(14,1),(37,1),(38,1),(73,1),(88,1),(138,1),(164,1)}
        25:{2,3,5,6,7}:{(15,1),(36,1),(39,1),(92,1)}
        26:{1,4,5,6,7}:{(15,1),(39,1),(93,1),(125,1)}
        27:{1,2,4,6,7}:{(16,1),(41,1),(42,1),(49,1),(90,1),(125,1),(129,1),(132,1),(157,1),(166,1)}
        28:{1,2,4,5,6}:{(18,1),(43,1),(44,1),(86,1),(93,1),(130,1),(139,1),(166,1)}
        29:{2,4,5,7}:{(17,1),(18,1),(19,1),(45,1)}
        30:{2,3,5,6}:{(18,1),(44,1),(45,1),(46,1),(161,1),(174,1)}
        31:{1,2,4,6,7}:{(19,1),(20,1),(43,1),(47,1),(49,1),(90,1),(166,1)}
        32:{2,3,6,7}:{(19,1),(45,1),(47,1),(174,1)}
        33:{1,3,5,6,7}:{(20,1),(21,1),(47,1),(49,1),(91,1),(134,1)}
        34:{2,4,6,7}:{(21,1),(22,1),(49,1),(50,1),(132,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(91,1)}
        36:{2,3,4,6,7}:{(23,1),(25,1),(52,1),(102,1),(115,1),(140,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(52,1),(54,1),(97,1),(148,1)}
        38:{2,4,5,6}:{(24,1),(54,1),(55,1),(113,1),(156,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(52,1),(56,1),(117,1)}
        40:{1,2,4,5,6,7}:{(26,1),(56,1),(57,1),(60,1),(94,1),(102,1),(148,1),(168,1)}
        41:{1,3,4,6,7}:{(27,1),(58,1),(59,1),(107,1),(150,1),(172,1)}
        42:{1,2,4,5,7}:{(27,1),(59,1),(60,1),(69,1),(106,1),(116,1),(148,1),(168,1)}
        43:{1,2,4,5,7}:{(28,1),(29,1),(31,1),(62,1),(69,1),(112,1),(116,1)}
        44:{1,3,5,6}:{(28,1),(30,1),(61,1),(62,1),(63,1),(151,1),(172,1)}
        45:{2,3,5,7}:{(29,1),(30,1),(32,1),(62,1),(64,1)}
        46:{2,3,4,6}:{(30,1),(63,1),(64,1),(65,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(62,1),(66,1),(172,1)}
        48:{2,3,4,6,7}:{(32,1),(34,1),(64,1),(67,1),(68,1),(115,1)}
        49:{1,4,6,7}:{(33,1),(34,1),(69,1),(153,1)}
        50:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1),(70,1),(116,1)}
        51:{1,3,4,5,6}:{(35,1),(70,1),(107,1),(117,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(118,1),(125,1),(138,1)}
        53:{1,2,4,5,6}:{(38,1),(72,1),(73,1),(121,1),(130,1),(164,1),(166,1),(173,1)}
        54:{2,4,5,7}:{(37,1),(38,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(38,1),(73,1),(74,1),(75,1),(136,1),(167,1)}
        56:{2,5,6,7}:{(39,1),(71,1),(139,1)}
        57:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(84,1),(118,1),(158,1)}
        58:{2,3,4,6,7}:{(41,1),(82,1),(83,1),(90,1),(132,1),(135,1),(157,1),(160,1),(167,1),(174,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1)}
        60:{1,2,4,5,6}:{(42,1),(84,1),(93,1),(132,1),(139,1),(164,1),(166,1),(173,1)}
        61:{2,3,5,6}:{(44,1),(85,1),(86,1),(136,1),(139,1),(167,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(45,1),(47,1),(85,1),(87,1)}
        63:{1,3,4,6}:{(44,1),(46,1),(86,1),(87,1),(88,1)}
        64:{2,3,4,7}:{(45,1),(46,1),(87,1)}
        65:{2,3,4,5}:{(46,1),(88,1),(161,1)}
        66:{2,3,6,7}:{(47,1),(85,1),(90,1),(167,1)}
        67:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(87,1),(90,1),(91,1),(138,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(91,1),(92,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(91,1),(93,1)}
        70:{2,4,5,6}:{(50,1),(51,1),(92,1),(93,1),(132,1),(139,1)}
        71:{2,4,6,7}:{(52,1),(54,1),(56,1),(95,1),(156,1)}
        72:{1,2,4,5,7}:{(53,1),(54,1),(94,1),(97,1),(144,1),(148,1),(168,1)}
        73:{1,3,5,6}:{(53,1),(55,1),(96,1),(97,1),(98,1),(151,1),(172,1)}
        74:{2,3,5,7}:{(54,1),(55,1),(95,1),(97,1),(99,1)}
        75:{2,3,4,6}:{(55,1),(98,1),(99,1),(100,1)}
        76:{1,2,5,6,7}:{(56,1),(94,1),(101,1),(154,1),(168,1)}
        77:{2,3,5,6,7}:{(56,1),(57,1),(95,1),(101,1),(102,1),(110,1),(140,1),(142,1),(168,1)}
        78:{1,3,4,6,7}:{(57,1),(102,1),(103,1),(107,1)}
        79:{1,2,3,5,6}:{(61,1),(96,1),(104,1),(105,1),(151,1),(154,1),(172,1)}
        80:{1,3,4,5,7}:{(59,1),(106,1),(107,1)}
        81:{1,2,3,6,7}:{(66,1),(104,1),(108,1),(140,1),(172,1)}
        82:{1,3,4,6,7}:{(58,1),(108,1),(109,1),(150,1),(153,1),(172,1)}
        83:{2,3,5,7}:{(58,1),(59,1),(106,1),(109,1),(110,1),(116,1),(168,1)}
        84:{1,3,5,6}:{(59,1),(60,1),(107,1),(110,1),(172,1)}
        85:{2,3,5,7}:{(61,1),(62,1),(66,1),(112,1),(116,1)}
        86:{2,4,6}:{(61,1),(63,1),(112,1),(113,1)}
        87:{1,3,4,7}:{(62,1),(63,1),(64,1),(112,1)}
        88:{1,3,4,5}:{(63,1),(65,1),(113,1),(151,1)}
        89:{2,3,4,5,7}:{(64,1),(65,1),(68,1),(106,1),(114,1),(115,1),(170,1)}
        90:{2,4,6,7}:{(66,1),(67,1),(112,1),(116,1),(156,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(69,1),(116,1),(117,1)}
        92:{2,3,5,6}:{(68,1),(70,1),(115,1),(117,1)}
        93:{1,4,5,6}:{(69,1),(70,1),(117,1),(153,1)}
        94:{1,2,4,6,7}:{(71,1),(72,1),(76,1),(118,1),(125,1),(157,1),(166,1)}
        95:{2,3,6,7}:{(71,1),(74,1),(118,1),(167,1)}
        96:{2,3,5,6}:{(73,1),(120,1),(121,1),(161,1),(173,1),(174,1)}
        97:{1,3,5,7}:{(72,1),(73,1),(74,1),(118,1),(120,1),(122,1)}
        98:{1,3,4,6}:{(73,1),(75,1),(121,1),(122,1),(123,1)}
        99:{2,3,4,7}:{(74,1),(75,1),(122,1)}
       100:{2,3,4,5}:{(75,1),(123,1),(136,1)}
       101:{1,3,5,6,7}:{(76,1),(77,1),(118,1),(125,1),(134,1),(158,1)}
       102:{2,4,6,7}:{(77,1),(78,1),(125,1),(126,1),(132,1)}
       103:{1,3,4,5,7}:{(78,1),(126,1),(127,1),(158,1)}
       104:{1,2,3,5,7}:{(79,1),(81,1),(85,1),(120,1),(129,1),(133,1),(165,1)}
       105:{1,2,4,6}:{(79,1),(86,1),(121,1),(128,1),(129,1),(130,1)}
       106:{2,4,5,7}:{(80,1),(83,1),(131,1),(132,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(132,1)}
       108:{1,2,4,6,7}:{(81,1),(82,1),(90,1),(129,1),(133,1),(157,1),(166,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(131,1),(133,1),(134,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(132,1),(134,1),(139,1),(167,1),(173,1),(174,1)}
       111:{2,3,4,6}:{(86,1),(128,1),(135,1),(136,1),(167,1)}
       112:{2,4,7}:{(85,1),(86,1),(87,1)}
       113:{2,4,5}:{(86,1),(88,1),(136,1)}
       114:{1,3,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(131,1),(137,1),(138,1),(165,1)}
       115:{2,3,4,6}:{(89,1),(92,1),(132,1),(138,1),(174,1)}
       116:{2,5,7}:{(90,1),(91,1),(139,1)}
       117:{1,3,5,6}:{(91,1),(92,1),(93,1),(138,1),(139,1)}
       118:{1,3,6,7}:{(94,1),(95,1),(97,1),(140,1),(172,1)}
       119:{2,3,4,6,7}:{(95,1),(99,1),(102,1),(141,1),(142,1),(147,1)}
       120:{2,3,5,7}:{(96,1),(97,1),(140,1),(144,1),(168,1)}
       121:{2,4,6}:{(96,1),(98,1),(144,1),(145,1)}
       122:{1,3,4,7}:{(97,1),(98,1),(99,1),(144,1)}
       123:{1,3,4,5}:{(98,1),(100,1),(145,1),(151,1)}
       124:{2,3,4,5,7}:{(99,1),(100,1),(106,1),(142,1),(146,1),(147,1),(155,1)}
       125:{1,4,6,7}:{(101,1),(102,1),(148,1),(153,1)}
       126:{2,4,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1),(168,1)}
       127:{1,3,4,5,6}:{(103,1),(107,1),(149,1),(169,1)}
       128:{1,3,4,6}:{(105,1),(111,1),(143,1),(150,1),(151,1),(172,1)}
       129:{1,2,4,7}:{(104,1),(105,1),(112,1),(144,1),(150,1)}
       130:{1,2,4,5}:{(105,1),(113,1),(145,1),(151,1)}
       131:{1,4,5,7}:{(106,1),(109,1),(153,1)}
       132:{2,4,6}:{(106,1),(107,1),(110,1),(153,1)}
       133:{1,2,5,7}:{(108,1),(109,1),(116,1),(154,1),(168,1)}
       134:{1,3,5,6}:{(109,1),(110,1),(153,1),(154,1),(172,1)}
       135:{2,3,4,7}:{(111,1),(112,1),(150,1),(155,1)}
       136:{2,3,5}:{(111,1),(113,1),(151,1)}
       137:{2,4,5,7}:{(112,1),(113,1),(114,1),(116,1),(155,1),(156,1)}
       138:{1,3,4,6}:{(114,1),(115,1),(117,1),(153,1),(156,1),(172,1)}
       139:{2,5,6}:{(116,1),(117,1),(156,1)}
       140:{2,3,6,7}:{(118,1),(120,1),(157,1),(174,1)}
       141:{1,3,4,6,7}:{(118,1),(119,1),(122,1),(125,1),(157,1),(158,1),(163,1)}
       142:{2,3,5,7}:{(119,1),(126,1),(158,1),(159,1)}
       143:{2,3,4,6}:{(121,1),(128,1),(160,1),(161,1),(174,1)}
       144:{2,4,7}:{(120,1),(121,1),(122,1)}
       145:{2,4,5}:{(121,1),(123,1),(161,1)}
       146:{1,3,4,5,7}:{(122,1),(123,1),(124,1),(131,1),(158,1),(162,1),(163,1),(165,1)}
       147:{2,3,4,6}:{(124,1),(132,1),(159,1),(163,1),(167,1)}
       148:{1,4,5,7}:{(125,1),(126,1),(158,1),(164,1)}
       149:{2,4,5,6}:{(126,1),(127,1),(132,1),(159,1),(164,1),(173,1)}
       150:{1,3,4,7}:{(128,1),(129,1),(135,1),(160,1),(165,1)}
       151:{1,3,5}:{(128,1),(130,1),(136,1),(161,1)}
       152:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(133,1),(137,1),(162,1),(165,1),(166,1)}
       153:{1,4,6}:{(131,1),(132,1),(134,1)}
       154:{1,2,5,6}:{(133,1),(134,1),(139,1),(166,1),(173,1)}
       155:{2,3,5,7}:{(135,1),(136,1),(137,1),(165,1),(167,1)}
       156:{2,4,6}:{(137,1),(138,1),(139,1),(167,1)}
       157:{2,4,6,7}:{(140,1),(141,1),(144,1),(168,1),(171,1)}
       158:{1,3,5,7}:{(141,1),(142,1),(148,1),(168,1),(169,1)}
       159:{2,3,5,6}:{(142,1),(147,1),(149,1),(169,1)}
       160:{2,3,4,7}:{(143,1),(144,1),(150,1),(170,1)}
       161:{2,3,5}:{(143,1),(145,1),(151,1)}
       162:{2,4,5,7}:{(144,1),(145,1),(146,1),(168,1),(170,1),(171,1)}
       163:{1,3,4,6}:{(146,1),(147,1),(153,1),(169,1),(171,1),(172,1)}
       164:{1,4,5,6}:{(148,1),(149,1),(153,1),(169,1)}
       165:{1,3,5,7}:{(150,1),(151,1),(152,1),(155,1),(170,1),(172,1)}
       166:{1,2,4,6}:{(152,1),(153,1),(154,1),(156,1),(171,1),(172,1)}
       167:{2,3,6}:{(155,1),(156,1),(172,1)}
       168:{2,5,7}:{(157,1),(158,1),(173,1)}
       169:{1,3,5,6}:{(158,1),(159,1),(163,1),(164,1),(173,1)}
       170:{2,3,5,7}:{(160,1),(161,1),(162,1),(165,1),(174,1)}
       171:{2,4,6}:{(162,1),(163,1),(173,1),(174,1)}
       172:{1,3,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,5,6}:{(168,1),(169,1),(171,1)}
       174:{2,3,6}:{(170,1),(171,1),(172,1)}

2979 :   0:{1,3,4,5,6,7}:{(2,1),(7,1),(10,1),(84,1)}
         1:{1,2,4,5,6,7}:{(3,1),(5,1),(14,1),(18,1),(32,1),(40,1),(41,1),(76,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(107,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(8,1),(48,1),(55,1),(59,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(10,1),(123,1)}
         5:{1,4,5,6,7}:{(2,1),(10,1),(26,1),(128,1)}
         6:{1,2,3,5,6,7}:{(11,1),(15,1),(33,1),(64,1),(67,1),(76,1),(77,1),(112,1),(113,1),(142,1),(143,1),(148,1)}
         7:{1,3,4,6,7}:{(3,1),(13,1),(14,1),(65,1)}
         8:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(18,1),(37,1),(44,1),(67,1),(76,1),(77,1)}
         9:{2,3,4,6,7}:{(4,1),(14,1),(16,1),(17,1),(77,1),(105,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(141,1)}
        11:{1,2,4,6,7}:{(6,1),(20,1),(21,1),(26,1),(56,1),(86,1),(88,1),(125,1),(131,1),(134,1)}
        12:{1,3,4,5,6,7}:{(22,1),(24,1),(45,1),(52,1)}
        13:{1,3,4,5,7}:{(7,1),(24,1),(25,1),(55,1)}
        14:{2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(88,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(55,1),(59,1),(90,1)}
        16:{2,3,4,5,7}:{(9,1),(25,1),(28,1),(29,1),(99,1)}
        17:{1,3,4,6,7}:{(9,1),(10,1),(26,1),(29,1),(30,1),(59,1),(126,1)}
        18:{2,5,6,7}:{(10,1),(30,1),(155,1)}
        19:{1,2,4,5,6,7}:{(31,1),(32,1),(36,1),(63,1),(72,1),(108,1),(109,1),(142,1)}
        20:{1,2,4,5,7}:{(11,1),(32,1),(33,1),(40,1),(66,1),(76,1),(108,1),(142,1)}
        21:{1,3,4,6,7}:{(11,1),(33,1),(34,1),(65,1),(148,1),(149,1)}
        22:{2,4,5,6,7}:{(12,1),(35,1),(36,1),(39,1),(63,1),(72,1)}
        23:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(44,1),(73,1),(81,1)}
        24:{1,3,4,5,6}:{(13,1),(39,1),(65,1),(75,1)}
        25:{2,4,5,7}:{(13,1),(14,1),(37,1),(39,1),(40,1),(76,1)}
        26:{1,4,6,7}:{(14,1),(15,1),(40,1),(110,1)}
        27:{1,2,5,6,7}:{(15,1),(18,1),(41,1),(76,1),(112,1)}
        28:{2,3,4,5,6}:{(16,1),(39,1),(42,1),(105,1),(119,1),(170,1)}
        29:{1,3,4,5,7}:{(16,1),(17,1),(40,1),(42,1),(43,1),(79,1)}
        30:{2,4,6,7}:{(17,1),(18,1),(43,1),(44,1),(144,1)}
        31:{1,3,5,6,7}:{(19,1),(45,1),(46,1),(48,1),(124,1),(130,1)}
        32:{1,2,4,5,6}:{(20,1),(48,1),(57,1),(88,1),(98,1),(128,1),(131,1),(155,1)}
        33:{1,3,5,7}:{(20,1),(21,1),(48,1),(49,1)}
        34:{2,3,4,6,7}:{(21,1),(49,1),(50,1),(56,1),(88,1),(125,1),(137,1),(138,1),(157,1),(158,1)}
        35:{2,3,5,6,7}:{(22,1),(51,1),(52,1),(54,1)}
        36:{1,4,5,6,7}:{(22,1),(52,1),(57,1),(86,1)}
        37:{2,3,5,7}:{(23,1),(25,1),(54,1),(55,1)}
        38:{1,3,4,6,7}:{(23,1),(26,1),(55,1),(56,1),(59,1),(96,1),(101,1)}
        39:{2,4,5,6}:{(24,1),(25,1),(54,1),(57,1),(88,1),(98,1)}
        40:{1,4,5,7}:{(25,1),(26,1),(55,1),(57,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(30,1),(56,1),(58,1),(59,1),(131,1)}
        42:{1,3,4,5,6}:{(28,1),(29,1),(57,1),(60,1),(100,1),(126,1),(173,1)}
        43:{2,4,5,7}:{(29,1),(30,1),(60,1),(61,1)}
        44:{2,3,6,7}:{(30,1),(59,1),(61,1),(157,1)}
        45:{1,3,4,6,7}:{(31,1),(62,1),(63,1),(65,1)}
        46:{2,3,5,6,7}:{(31,1),(63,1),(64,1),(67,1),(72,1),(103,1),(116,1),(142,1),(143,1)}
        47:{1,3,4,5,7}:{(33,1),(65,1),(66,1)}
        48:{1,3,5,6}:{(32,1),(33,1),(65,1),(67,1),(148,1)}
        49:{2,3,5,7}:{(33,1),(34,1),(66,1),(67,1),(68,1),(76,1),(142,1)}
        50:{1,3,4,6,7}:{(34,1),(68,1),(69,1),(110,1),(148,1),(149,1)}
        51:{2,3,4,6,7}:{(35,1),(63,1),(70,1),(71,1),(73,1),(143,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(71,1),(72,1),(75,1)}
        53:{2,3,4,5,7}:{(37,1),(66,1),(73,1),(74,1),(81,1),(122,1),(145,1)}
        54:{2,3,5,6}:{(37,1),(39,1),(73,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(40,1),(75,1),(76,1)}
        56:{2,4,6,7}:{(38,1),(76,1),(77,1),(117,1),(120,1)}
        57:{1,4,5,6}:{(39,1),(40,1),(75,1),(110,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(76,1),(78,1),(79,1),(120,1)}
        59:{1,3,6,7}:{(41,1),(44,1),(77,1),(79,1),(148,1)}
        60:{2,4,5,6}:{(42,1),(43,1),(80,1),(144,1),(174,1)}
        61:{2,3,5,7}:{(43,1),(44,1),(79,1),(80,1),(81,1)}
        62:{1,3,4,5,7}:{(45,1),(84,1),(85,1),(124,1)}
        63:{2,4,6,7}:{(45,1),(46,1),(85,1),(86,1),(88,1)}
        64:{1,3,5,6,7}:{(46,1),(86,1),(87,1),(90,1),(124,1),(130,1)}
        65:{1,3,4,6}:{(47,1),(48,1),(88,1)}
        66:{2,4,5,7}:{(47,1),(49,1),(88,1),(89,1)}
        67:{2,3,5,6}:{(48,1),(49,1),(88,1),(90,1),(98,1),(137,1),(155,1),(157,1)}
        68:{1,3,5,7}:{(49,1),(50,1),(89,1),(90,1),(91,1)}
        69:{1,2,4,6,7}:{(50,1),(56,1),(91,1),(92,1),(125,1),(131,1),(134,1)}
        70:{2,3,4,5,7}:{(51,1),(85,1),(93,1),(94,1),(156,1)}
        71:{1,3,4,6,7}:{(51,1),(52,1),(86,1),(94,1),(95,1),(96,1),(130,1)}
        72:{2,5,6,7}:{(52,1),(95,1),(98,1)}
        73:{2,3,4,6}:{(53,1),(54,1),(88,1),(96,1),(157,1)}
        74:{1,3,4,5,7}:{(53,1),(55,1),(89,1),(96,1),(97,1),(101,1),(132,1),(140,1)}
        75:{1,3,5,6}:{(54,1),(55,1),(57,1),(96,1),(98,1)}
        76:{2,5,7}:{(55,1),(56,1),(98,1)}
        77:{2,3,6,7}:{(56,1),(59,1),(99,1),(137,1)}
        78:{1,2,4,5,6}:{(57,1),(58,1),(60,1),(98,1),(100,1),(131,1),(139,1),(162,1)}
        79:{1,3,5,7}:{(58,1),(59,1),(61,1),(99,1),(100,1),(101,1)}
        80:{2,3,5,6}:{(60,1),(61,1),(100,1),(102,1),(157,1),(172,1)}
        81:{2,3,4,7}:{(61,1),(101,1),(102,1)}
        82:{2,3,4,6,7}:{(63,1),(103,1),(104,1),(105,1),(116,1),(152,1)}
        83:{2,3,4,5,7}:{(66,1),(103,1),(105,1),(106,1),(118,1),(152,1),(170,1)}
        84:{1,3,4,5,6}:{(62,1),(65,1),(107,1),(141,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(103,1),(107,1),(108,1),(142,1)}
        86:{1,4,6,7}:{(63,1),(64,1),(108,1),(110,1)}
        87:{1,2,5,6,7}:{(64,1),(72,1),(109,1),(112,1),(142,1)}
        88:{2,4,6}:{(65,1),(66,1),(67,1),(110,1)}
        89:{1,4,5,7}:{(66,1),(68,1),(110,1)}
        90:{1,3,5,6}:{(67,1),(68,1),(110,1),(112,1),(148,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(76,1),(112,1),(142,1)}
        92:{1,2,3,6,7}:{(69,1),(77,1),(113,1),(143,1),(148,1)}
        93:{2,3,4,5,6}:{(70,1),(73,1),(107,1),(114,1),(122,1),(165,1)}
        94:{1,3,4,5,7}:{(70,1),(71,1),(108,1),(114,1),(115,1),(147,1)}
        95:{2,4,6,7}:{(71,1),(72,1),(115,1),(116,1),(117,1)}
        96:{1,3,4,6}:{(73,1),(74,1),(75,1),(110,1),(117,1),(148,1)}
        97:{2,4,5,7}:{(74,1),(76,1),(117,1),(118,1),(120,1),(154,1)}
        98:{2,5,6}:{(75,1),(76,1),(117,1)}
        99:{2,3,5,7}:{(76,1),(77,1),(79,1),(119,1),(120,1)}
       100:{1,3,5,6}:{(78,1),(79,1),(80,1),(119,1),(121,1),(148,1),(169,1)}
       101:{1,3,4,7}:{(79,1),(81,1),(120,1),(121,1)}
       102:{2,3,4,6}:{(80,1),(81,1),(121,1),(122,1)}
       103:{2,3,5,7}:{(82,1),(85,1),(123,1),(124,1)}
       104:{1,3,4,6,7}:{(82,1),(86,1),(124,1),(125,1),(126,1),(130,1),(160,1)}
       105:{2,3,4,6}:{(83,1),(88,1),(123,1),(126,1),(137,1)}
       106:{1,3,4,5,7}:{(83,1),(89,1),(124,1),(126,1),(127,1),(132,1),(160,1),(173,1)}
       107:{2,4,5,6}:{(84,1),(85,1),(88,1),(123,1),(128,1),(155,1)}
       108:{1,4,5,7}:{(85,1),(86,1),(124,1),(128,1)}
       109:{1,2,4,6,7}:{(86,1),(87,1),(95,1),(125,1),(129,1),(130,1),(131,1)}
       110:{1,4,6}:{(88,1),(89,1),(90,1)}
       111:{1,2,4,5,7}:{(89,1),(91,1),(97,1),(127,1),(131,1),(132,1),(134,1),(162,1)}
       112:{1,2,5,6}:{(90,1),(91,1),(98,1),(131,1),(155,1)}
       113:{1,2,3,5,7}:{(91,1),(92,1),(99,1),(132,1),(133,1),(134,1),(156,1)}
       114:{1,3,4,5,6}:{(93,1),(94,1),(96,1),(128,1),(135,1),(140,1),(159,1)}
       115:{2,4,5,7}:{(94,1),(95,1),(135,1),(136,1)}
       116:{2,3,6,7}:{(95,1),(130,1),(136,1),(137,1)}
       117:{2,4,6}:{(96,1),(97,1),(98,1),(137,1)}
       118:{2,3,5,7}:{(97,1),(132,1),(137,1),(138,1),(164,1)}
       119:{2,3,5,6}:{(98,1),(99,1),(100,1),(137,1),(139,1),(164,1)}
       120:{2,4,7}:{(99,1),(101,1),(139,1)}
       121:{1,3,4,6}:{(100,1),(101,1),(102,1),(139,1),(140,1)}
       122:{2,3,4,5}:{(102,1),(140,1),(172,1)}
       123:{2,3,5,6}:{(103,1),(105,1),(107,1),(141,1)}
       124:{1,3,5,7}:{(103,1),(104,1),(108,1),(141,1),(142,1)}
       125:{2,4,6,7}:{(104,1),(142,1),(143,1),(144,1),(166,1)}
       126:{1,3,4,6}:{(105,1),(106,1),(110,1),(141,1),(144,1),(148,1)}
       127:{2,4,5,7}:{(106,1),(142,1),(144,1),(145,1),(166,1),(174,1)}
       128:{1,4,5,6}:{(107,1),(108,1),(110,1),(141,1)}
       129:{1,2,4,5,7}:{(108,1),(109,1),(115,1),(142,1),(146,1),(147,1),(166,1)}
       130:{1,3,6,7}:{(109,1),(116,1),(143,1),(147,1),(148,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(112,1),(117,1),(144,1),(148,1)}
       132:{1,3,5,7}:{(111,1),(118,1),(145,1),(148,1),(149,1),(169,1)}
       133:{1,2,3,5,6}:{(112,1),(113,1),(119,1),(148,1),(150,1),(165,1),(169,1)}
       134:{1,2,4,7}:{(113,1),(120,1),(149,1),(150,1),(166,1)}
       135:{2,4,5,6}:{(114,1),(115,1),(117,1),(151,1),(154,1)}
       136:{2,3,5,7}:{(115,1),(116,1),(147,1),(151,1),(152,1)}
       137:{2,3,6}:{(117,1),(118,1),(148,1)}
       138:{2,3,4,7}:{(118,1),(120,1),(149,1),(153,1)}
       139:{2,4,6}:{(119,1),(120,1),(121,1),(154,1)}
       140:{1,3,4,5}:{(121,1),(122,1),(154,1),(169,1)}
       141:{1,3,5,6}:{(123,1),(124,1),(126,1),(128,1),(155,1)}
       142:{2,5,7}:{(124,1),(125,1),(155,1)}
       143:{2,3,6,7}:{(125,1),(130,1),(156,1),(157,1)}
       144:{2,4,6}:{(126,1),(127,1),(155,1),(157,1)}
       145:{2,3,5,7}:{(127,1),(132,1),(157,1),(158,1),(172,1)}
       146:{1,2,4,5,6}:{(128,1),(129,1),(131,1),(135,1),(155,1),(159,1),(162,1),(171,1)}
       147:{1,3,5,7}:{(129,1),(130,1),(136,1),(156,1),(159,1),(160,1)}
       148:{1,3,6}:{(131,1),(132,1),(137,1),(157,1)}
       149:{1,3,4,7}:{(132,1),(134,1),(138,1),(158,1),(161,1)}
       150:{1,2,4,6}:{(133,1),(134,1),(139,1),(161,1),(162,1),(171,1)}
       151:{2,3,5,6}:{(135,1),(136,1),(137,1),(159,1),(163,1),(164,1)}
       152:{2,3,4,7}:{(136,1),(160,1),(163,1)}
       153:{2,3,4,6}:{(137,1),(138,1),(139,1),(161,1),(164,1)}
       154:{2,4,5}:{(139,1),(140,1),(164,1)}
       155:{2,5,6}:{(141,1),(142,1),(144,1)}
       156:{2,3,5,7}:{(142,1),(143,1),(147,1),(165,1),(166,1)}
       157:{2,3,6}:{(144,1),(145,1),(148,1)}
       158:{2,3,4,7}:{(145,1),(149,1),(166,1),(167,1)}
       159:{1,3,5,6}:{(146,1),(147,1),(148,1),(151,1),(165,1),(168,1),(169,1)}
       160:{1,3,4,7}:{(147,1),(152,1),(166,1),(168,1)}
       161:{1,3,4,6}:{(148,1),(149,1),(150,1),(153,1),(167,1),(169,1)}
       162:{1,2,4,5}:{(150,1),(154,1),(169,1),(174,1)}
       163:{2,3,4,6}:{(151,1),(152,1),(168,1),(170,1)}
       164:{2,3,5}:{(153,1),(154,1),(169,1)}
       165:{2,3,5,6}:{(155,1),(156,1),(157,1),(159,1),(171,1),(172,1)}
       166:{2,4,7}:{(156,1),(160,1),(171,1)}
       167:{2,3,4,6}:{(157,1),(158,1),(161,1),(171,1),(172,1)}
       168:{1,3,4,6}:{(159,1),(160,1),(163,1),(171,1),(173,1)}
       169:{1,3,5}:{(161,1),(162,1),(164,1),(172,1)}
       170:{2,3,4,5}:{(163,1),(164,1),(173,1)}
       171:{2,4,6}:{(165,1),(166,1),(168,1),(174,1)}
       172:{2,3,5}:{(167,1),(169,1),(174,1)}
       173:{1,3,4,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,5}:{(171,1),(172,1),(173,1)}

2980 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2981 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(15,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(6,1),(27,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(86,1)}
         4:{1,2,4,5}:{(1,1),(11,1),(12,1)}
         5:{1,2,3,5,6}:{(1,1),(12,1),(14,1),(15,1),(41,1),(46,1)}
         6:{1,2,3,5,7}:{(1,1),(2,1),(13,1),(15,1)}
         7:{2,3,4,5}:{(11,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(41,1),(78,1),(82,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(70,1),(96,1)}
        10:{2,3,4,5,6}:{(22,1),(23,1),(30,1),(66,1)}
        11:{1,3,4,5}:{(4,1),(7,1),(21,1),(24,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(27,1)}
        13:{1,2,4,5,7}:{(4,1),(6,1),(25,1),(27,1),(28,1),(63,1)}
        14:{1,2,3,5,7}:{(5,1),(27,1),(29,1),(59,1),(63,1)}
        15:{1,2,3,6}:{(6,1),(28,1)}
        16:{2,3,4,6}:{(7,1),(24,1),(30,1),(31,1)}
        17:{2,3,4,5,7}:{(7,1),(25,1),(31,1),(32,1),(65,1)}
        18:{2,4,5,6}:{(8,1),(30,1),(33,1)}
        19:{1,3,4,5,7}:{(8,1),(9,1),(33,1),(34,1),(59,1),(91,1),(93,1)}
        20:{2,3,4,6,7}:{(9,1),(34,1),(35,1),(84,1),(101,1)}
        21:{2,3,4,5}:{(11,1),(36,1)}
        22:{1,3,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(78,1),(97,1)}
        23:{2,3,4,5,7}:{(10,1),(39,1),(40,1),(47,1),(81,1)}
        24:{1,3,4,6}:{(11,1),(12,1),(16,1),(36,1),(41,1),(42,1)}
        25:{1,3,4,5,7}:{(11,1),(13,1),(17,1),(37,1),(42,1),(43,1),(77,1)}
        26:{1,2,4,5,6}:{(12,1),(18,1),(38,1),(41,1),(44,1),(46,1),(78,1)}
        27:{1,2,4,7}:{(12,1),(14,1),(42,1)}
        28:{1,2,4,6}:{(13,1),(15,1),(43,1),(46,1)}
        29:{1,2,3,6,7}:{(14,1),(15,1),(45,1),(76,1)}
        30:{2,3,5,6}:{(16,1),(18,1),(41,1),(47,1)}
        31:{2,3,4,7}:{(16,1),(42,1),(47,1)}
        32:{2,3,4,6}:{(17,1),(43,1),(49,1)}
        33:{2,4,5,7}:{(18,1),(19,1),(47,1),(50,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(50,1),(51,1),(76,1),(99,1),(100,1)}
        35:{2,3,5,6,7}:{(20,1),(51,1),(52,1)}
        36:{2,3,4,6}:{(21,1),(24,1),(53,1),(54,1)}
        37:{2,3,4,5,7}:{(21,1),(25,1),(54,1),(55,1),(85,1)}
        38:{2,4,5,6}:{(22,1),(53,1),(56,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(56,1),(57,1),(59,1),(91,1),(102,1)}
        40:{2,3,4,6,7}:{(23,1),(57,1),(58,1),(64,1),(92,1)}
        41:{1,3,5,6}:{(24,1),(26,1),(30,1),(53,1),(59,1)}
        42:{1,3,4,7}:{(24,1),(27,1),(31,1),(54,1),(59,1)}
        43:{1,3,4,6}:{(25,1),(28,1),(32,1),(55,1),(61,1)}
        44:{1,2,4,5,7}:{(26,1),(27,1),(33,1),(56,1),(59,1),(62,1),(63,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(60,1),(63,1)}
        46:{1,2,5,6}:{(28,1),(61,1),(63,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(33,1),(59,1),(64,1)}
        48:{2,3,4,6,7}:{(31,1),(32,1),(60,1),(64,1),(65,1),(92,1)}
        49:{2,3,5,6}:{(32,1),(61,1),(65,1),(66,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(64,1),(67,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(67,1),(68,1),(94,1)}
        52:{2,4,5,6,7}:{(35,1),(68,1),(69,1),(101,1)}
        53:{2,3,5,6}:{(36,1),(38,1),(41,1),(70,1)}
        54:{2,3,4,7}:{(36,1),(42,1),(70,1)}
        55:{2,3,4,6}:{(37,1),(43,1),(72,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(70,1),(73,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(73,1),(74,1),(76,1),(99,1),(104,1)}
        58:{2,3,5,6,7}:{(40,1),(74,1),(75,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(47,1),(70,1),(76,1)}
        60:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(48,1),(71,1),(76,1),(77,1),(99,1)}
        61:{1,3,5,6}:{(43,1),(46,1),(49,1),(72,1),(77,1),(78,1)}
        62:{1,2,4,6,7}:{(44,1),(50,1),(73,1),(76,1),(79,1),(99,1)}
        63:{1,2,5,7}:{(45,1),(46,1),(77,1)}
        64:{2,3,6,7}:{(47,1),(50,1),(76,1)}
        65:{2,3,5,7}:{(48,1),(49,1),(77,1),(81,1)}
        66:{2,4,5,6}:{(49,1),(78,1),(81,1),(82,1)}
        67:{2,5,6,7}:{(50,1),(51,1)}
        68:{1,4,5,6,7}:{(51,1),(52,1),(83,1),(99,1)}
        69:{3,4,5,6,7}:{(52,1),(104,1)}
        70:{2,3,5,7}:{(53,1),(54,1),(56,1),(59,1),(84,1)}
        71:{2,3,4,6,7}:{(54,1),(55,1),(60,1),(84,1),(85,1),(101,1)}
        72:{2,3,5,6}:{(55,1),(61,1),(85,1),(86,1)}
        73:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1)}
        74:{1,3,5,6,7}:{(57,1),(58,1),(87,1),(88,1),(103,1)}
        75:{2,4,5,6,7}:{(58,1),(88,1),(89,1),(92,1)}
        76:{1,3,6,7}:{(59,1),(62,1),(64,1),(84,1)}
        77:{1,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(85,1),(91,1)}
        78:{1,4,5,6}:{(61,1),(66,1),(86,1),(91,1)}
        79:{1,2,5,6,7}:{(62,1),(63,1),(67,1),(87,1),(90,1)}
        80:{2,3,5,6,7}:{(64,1),(65,1),(67,1),(90,1),(92,1),(94,1)}
        81:{2,4,5,7}:{(65,1),(66,1),(91,1),(92,1),(93,1)}
        82:{3,4,5,6}:{(66,1),(93,1)}
        83:{2,4,5,6,7}:{(67,1),(68,1),(92,1),(94,1)}
        84:{2,3,6,7}:{(70,1),(73,1),(76,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(77,1),(96,1)}
        86:{2,4,5,6}:{(72,1),(78,1),(96,1),(97,1)}
        87:{2,5,6,7}:{(73,1),(74,1)}
        88:{1,4,5,6,7}:{(74,1),(75,1),(98,1),(99,1)}
        89:{3,4,5,6,7}:{(75,1),(100,1)}
        90:{1,3,5,6,7}:{(76,1),(77,1),(79,1),(80,1),(95,1),(99,1)}
        91:{1,4,5,7}:{(77,1),(78,1),(81,1),(96,1),(99,1)}
        92:{2,4,6,7}:{(80,1),(81,1),(99,1),(100,1)}
        93:{3,4,5,7}:{(81,1),(82,1),(100,1)}
        94:{3,5,6,7}:{(83,1),(100,1)}
        95:{2,3,5,6,7}:{(84,1),(85,1),(87,1),(90,1),(101,1),(103,1)}
        96:{2,4,5,7}:{(85,1),(86,1),(91,1),(101,1),(102,1)}
        97:{3,4,5,6}:{(86,1),(102,1)}
        98:{2,4,5,6,7}:{(87,1),(88,1),(101,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(91,1),(92,1),(101,1)}
       100:{3,4,6,7}:{(92,1),(93,1),(94,1)}
       101:{2,4,6,7}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,4,5,7}:{(96,1),(97,1),(104,1)}
       103:{3,5,6,7}:{(98,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

2982 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(44,1),(48,1),(80,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(66,1),(99,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(72,1),(94,1),(101,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(87,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(20,1),(45,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(20,1),(21,1),(85,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(106,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{1,2,4,5,6}:{(13,1),(29,1),(30,1),(64,1),(70,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(25,1),(31,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(104,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(52,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(45,1),(79,1),(84,1),(111,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1),(89,1),(116,1),(120,1),(135,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(40,1),(45,1),(47,1)}
        32:{2,3,4,6}:{(21,1),(46,1),(47,1),(48,1)}
        33:{1,2,3,5,6}:{(44,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(31,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(72,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{2,3,5,6}:{(30,1),(63,1),(64,1),(104,1),(124,1),(129,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(65,1)}
        46:{1,3,4,6}:{(30,1),(32,1),(64,1),(65,1),(66,1)}
        47:{2,3,4,7}:{(31,1),(32,1),(65,1)}
        48:{2,3,4,5}:{(32,1),(66,1),(104,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(63,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(64,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(45,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(76,1),(77,1),(87,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(91,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(52,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(44,1),(81,1),(82,1),(116,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(75,1),(84,1),(111,1)}
        64:{2,4,6}:{(44,1),(46,1),(84,1),(85,1)}
        65:{1,3,4,7}:{(45,1),(46,1),(47,1),(84,1)}
        66:{1,3,4,5}:{(46,1),(48,1),(85,1),(89,1),(116,1)}
        67:{2,3,4,5,7}:{(47,1),(48,1),(51,1),(77,1),(86,1),(87,1),(118,1),(132,1)}
        68:{1,3,4,6}:{(50,1),(83,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(84,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(85,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(65,1),(94,1),(95,1),(106,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(72,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(101,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(64,1),(100,1),(101,1),(102,1)}
        83:{2,3,4,6}:{(64,1),(68,1),(100,1),(103,1),(104,1),(129,1)}
        84:{2,4,7}:{(63,1),(64,1),(65,1)}
        85:{2,4,5}:{(64,1),(66,1),(104,1)}
        86:{1,3,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(95,1),(105,1),(106,1),(107,1),(127,1),(136,1)}
        87:{2,3,4,6}:{(67,1),(72,1),(96,1),(106,1),(129,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(103,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(104,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(84,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(87,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(91,1),(112,1),(139,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(115,1),(116,1),(135,1)}
       101:{1,2,4,7}:{(81,1),(82,1),(84,1),(115,1)}
       102:{1,2,4,5}:{(82,1),(85,1),(116,1)}
       103:{2,3,4,7}:{(83,1),(84,1),(88,1),(115,1),(118,1)}
       104:{2,3,5}:{(83,1),(85,1),(89,1),(116,1)}
       105:{2,4,5,7}:{(84,1),(85,1),(86,1),(111,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(86,1),(87,1),(91,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(101,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(106,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,3,5}:{(100,1),(102,1),(104,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(105,1),(122,1),(127,1),(128,1),(136,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(105,1),(106,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(117,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2983 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(43,1),(45,1),(82,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(28,1),(63,1),(102,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(70,1),(94,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(82,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(17,1),(41,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(17,1),(19,1),(84,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(102,1)}
        17:{2,4,5,7}:{(10,1),(11,1),(25,1),(27,1)}
        18:{1,2,4,5,6}:{(11,1),(26,1),(28,1),(62,1),(72,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(103,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(41,1),(80,1),(86,1),(114,1)}
        27:{2,3,5,7}:{(17,1),(19,1),(40,1),(41,1),(42,1)}
        28:{1,3,5,6}:{(18,1),(19,1),(41,1),(43,1),(44,1),(91,1),(112,1),(120,1),(132,1)}
        29:{2,3,4,6}:{(19,1),(42,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(51,1),(135,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(43,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(27,1),(57,1),(127,1)}
        41:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(60,1)}
        42:{2,3,4,7}:{(27,1),(29,1),(60,1)}
        43:{2,3,5,6}:{(28,1),(59,1),(62,1),(103,1),(126,1),(127,1)}
        44:{1,3,4,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        45:{2,3,4,5}:{(29,1),(63,1),(103,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(70,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(59,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(62,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(43,1),(75,1),(76,1),(112,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(41,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(78,1),(79,1),(82,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(77,1),(80,1),(114,1)}
        60:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1)}
        61:{2,3,4,5,7}:{(42,1),(45,1),(50,1),(79,1),(81,1),(82,1),(116,1),(133,1)}
        62:{2,4,6}:{(43,1),(44,1),(80,1),(84,1)}
        63:{1,3,4,5}:{(44,1),(45,1),(84,1),(91,1),(112,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(90,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(51,1),(87,1),(115,1),(135,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(80,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(83,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(84,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(94,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(62,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(65,1),(97,1),(98,1),(102,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,4,7}:{(59,1),(60,1),(62,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(63,1),(69,1),(98,1),(101,1),(102,1),(107,1),(123,1),(136,1)}
        82:{2,3,4,6}:{(61,1),(70,1),(99,1),(102,1),(127,1),(138,1)}
        83:{2,3,4,6}:{(62,1),(71,1),(95,1),(100,1),(103,1),(127,1)}
        84:{2,4,5}:{(62,1),(63,1),(103,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(70,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(100,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(101,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(103,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(80,1),(110,1)}
        95:{1,3,4,6}:{(76,1),(83,1),(110,1),(112,1),(132,1)}
        96:{1,2,4,5}:{(76,1),(84,1),(112,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(82,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(83,1),(88,1),(110,1),(116,1)}
       101:{2,4,5,7}:{(80,1),(81,1),(84,1),(114,1),(116,1),(117,1)}
       102:{1,3,4,6}:{(81,1),(82,1),(90,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       103:{2,3,5}:{(83,1),(84,1),(91,1),(112,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(90,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,2,4,5,7}:{(94,1),(96,1),(101,1),(122,1),(123,1),(124,1),(136,1)}
       112:{1,3,5}:{(95,1),(96,1),(103,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(102,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(103,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(101,1),(102,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(111,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

2984 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

2985 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(61,1),(62,1),(84,1),(85,1),(86,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(27,1),(29,1),(47,1),(72,1),(75,1),(95,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(39,1),(57,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(39,1),(61,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(87,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(71,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(50,1),(72,1),(76,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(78,1),(79,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(61,1),(62,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(86,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(61,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(67,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(25,1),(26,1),(46,1),(81,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(26,1),(27,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(27,1),(28,1),(31,1),(46,1),(52,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(76,1),(78,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(36,1),(62,1),(90,1)}
        24:{2,3,4,5,7}:{(19,1),(34,1),(36,1),(37,1),(64,1),(90,1),(103,1)}
        25:{1,3,4,5,6}:{(15,1),(18,1),(38,1),(60,1),(92,1)}
        26:{2,4,5,7}:{(15,1),(16,1),(34,1),(38,1),(39,1),(61,1),(90,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,2,5,6,7}:{(17,1),(40,1),(43,1),(61,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(67,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(61,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(67,1)}
        34:{2,3,5,7}:{(23,1),(26,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(27,1),(46,1),(47,1),(48,1),(52,1),(71,1),(81,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(29,1),(45,1),(48,1),(78,1),(98,1)}
        37:{1,3,4,5,7}:{(24,1),(30,1),(46,1),(48,1),(49,1),(54,1),(73,1),(81,1),(95,1),(100,1),(104,1)}
        38:{2,4,5,6}:{(25,1),(26,1),(29,1),(45,1),(50,1),(76,1),(98,1)}
        39:{1,4,5,7}:{(26,1),(27,1),(46,1),(50,1),(95,1)}
        40:{1,2,4,6,7}:{(27,1),(28,1),(47,1),(51,1),(52,1),(53,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(49,1),(53,1),(54,1),(56,1),(83,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(76,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(77,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(38,1),(60,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(39,1),(60,1),(61,1)}
        47:{2,4,6,7}:{(35,1),(61,1),(62,1),(63,1),(90,1)}
        48:{1,3,4,6}:{(36,1),(37,1),(41,1),(60,1),(63,1),(67,1),(86,1),(101,1)}
        49:{2,4,5,7}:{(37,1),(61,1),(63,1),(64,1),(90,1),(103,1)}
        50:{1,4,5,6}:{(38,1),(39,1),(41,1),(60,1),(101,1)}
        51:{1,2,4,5,7}:{(39,1),(40,1),(61,1),(65,1),(66,1),(90,1)}
        52:{1,3,6,7}:{(40,1),(62,1),(66,1),(67,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(63,1),(67,1)}
        54:{1,3,5,7}:{(42,1),(64,1),(67,1),(68,1),(93,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(67,1),(69,1),(89,1),(93,1)}
        56:{1,2,4,7}:{(44,1),(68,1),(69,1),(90,1)}
        57:{1,2,4,6,7}:{(47,1),(70,1),(71,1),(72,1),(95,1)}
        58:{1,2,4,5,7}:{(49,1),(70,1),(72,1),(73,1),(75,1),(95,1),(97,1),(104,1)}
        59:{1,2,3,5,7}:{(73,1),(74,1),(75,1),(97,1)}
        60:{1,3,5,6}:{(45,1),(46,1),(48,1),(50,1),(76,1)}
        61:{2,5,7}:{(46,1),(47,1),(76,1)}
        62:{2,3,6,7}:{(47,1),(52,1),(71,1),(77,1),(78,1)}
        63:{2,4,6}:{(48,1),(49,1),(76,1),(78,1)}
        64:{2,3,5,7}:{(49,1),(54,1),(73,1),(78,1),(79,1),(99,1)}
        65:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(76,1),(80,1),(83,1),(98,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(77,1),(80,1),(81,1)}
        67:{1,3,6}:{(53,1),(54,1),(78,1)}
        68:{1,3,4,7}:{(54,1),(56,1),(79,1),(82,1)}
        69:{1,2,4,6}:{(55,1),(56,1),(82,1),(83,1),(98,1)}
        70:{1,2,5,7}:{(57,1),(61,1),(84,1),(85,1)}
        71:{1,3,6,7}:{(57,1),(62,1),(85,1),(86,1)}
        72:{1,2,4,6}:{(58,1),(63,1),(84,1),(86,1),(101,1)}
        73:{1,3,5,7}:{(58,1),(64,1),(86,1),(87,1),(102,1)}
        74:{1,2,3,6}:{(59,1),(86,1),(88,1)}
        75:{1,2,4,7}:{(59,1),(87,1),(88,1)}
        76:{2,5,6}:{(60,1),(61,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(66,1),(85,1),(89,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        79:{2,3,4,7}:{(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(65,1),(66,1),(67,1),(89,1),(92,1),(93,1)}
        81:{1,3,4,7}:{(66,1),(90,1),(92,1)}
        82:{1,3,4,6}:{(67,1),(68,1),(69,1),(91,1),(93,1)}
        83:{1,2,4,5}:{(69,1),(93,1),(103,1)}
        84:{1,2,5,6}:{(70,1),(72,1),(76,1),(94,1),(97,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(77,1),(94,1),(95,1)}
        86:{1,3,6}:{(72,1),(73,1),(78,1)}
        87:{1,3,4,7}:{(73,1),(75,1),(79,1),(95,1),(96,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(96,1),(97,1)}
        89:{2,3,5,6}:{(76,1),(77,1),(78,1),(80,1),(94,1),(98,1),(99,1)}
        90:{2,4,7}:{(77,1),(81,1),(95,1),(98,1)}
        91:{2,3,4,6}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5}:{(82,1),(83,1),(99,1)}
        94:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        95:{1,4,7}:{(85,1),(90,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        97:{1,2,5}:{(88,1),(102,1)}
        98:{2,4,6}:{(89,1),(90,1),(92,1),(101,1),(103,1)}
        99:{2,3,5}:{(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,5}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,5}:{(101,1),(102,1),(103,1)}

2986 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(29,1),(94,1),(97,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(42,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(57,1),(97,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(75,1),(114,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(77,1),(138,1),(139,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(59,1),(101,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(97,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(114,1),(139,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(30,1),(36,1),(63,1),(68,1),(105,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(101,1),(133,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(107,1),(129,1),(132,1)}
        29:{1,2,3,4,6}:{(41,1),(42,1),(74,1),(76,1)}
        30:{1,2,3,5,7}:{(19,1),(20,1),(44,1),(45,1),(122,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(139,1)}
        41:{1,2,3,4,7}:{(29,1),(56,1),(97,1)}
        42:{1,2,3,5}:{(29,1),(57,1)}
        43:{2,3,4,5,6}:{(33,1),(60,1),(61,1),(100,1),(130,1)}
        44:{1,2,4,5,7}:{(30,1),(31,1),(62,1),(63,1),(68,1)}
        45:{1,2,3,5,6}:{(30,1),(63,1),(104,1)}
        46:{1,3,4,5}:{(31,1),(59,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(132,1),(133,1)}
        56:{1,2,3,5,7}:{(41,1),(42,1),(73,1),(74,1)}
        57:{1,2,4,5}:{(42,1),(75,1),(76,1)}
        58:{1,2,3,5,6}:{(42,1),(74,1),(76,1),(77,1),(111,1),(113,1)}
        59:{2,3,4,5}:{(46,1),(75,1),(79,1)}
        60:{1,3,4,5,6}:{(43,1),(49,1),(80,1),(81,1),(87,1),(113,1),(136,1)}
        61:{2,3,4,5,7}:{(43,1),(50,1),(81,1),(82,1),(119,1),(140,1)}
        62:{1,3,4,5,7}:{(44,1),(46,1),(78,1),(83,1),(88,1),(122,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(83,1)}
        64:{1,2,3,5,6,7}:{(45,1),(48,1),(85,1),(91,1),(122,1),(124,1),(141,1)}
        65:{1,3,4,5,6,7}:{(51,1),(86,1),(118,1),(142,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(79,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(80,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(97,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{1,3,4,5}:{(57,1),(59,1),(95,1)}
        76:{1,2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,3,5,7}:{(58,1),(94,1),(97,1),(127,1),(128,1)}
        78:{2,3,4,5,7}:{(59,1),(62,1),(92,1),(98,1),(101,1),(131,1)}
        79:{2,3,4,6}:{(59,1),(66,1),(95,1),(100,1),(101,1)}
        80:{2,4,5,6}:{(60,1),(100,1),(102,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(69,1),(102,1),(103,1),(108,1),(128,1),(143,1)}
        82:{2,3,4,6,7}:{(61,1),(70,1),(99,1),(103,1),(133,1),(145,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(98,1),(104,1)}
        84:{1,2,4,5,6}:{(63,1),(104,1),(106,1),(130,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(68,1),(105,1),(106,1),(145,1)}
        86:{2,4,5,6,7}:{(65,1),(70,1),(99,1),(107,1),(132,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(100,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(101,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(132,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(78,1),(110,1),(114,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(77,1),(112,1),(139,1)}
        95:{1,3,4,6}:{(75,1),(76,1),(79,1),(113,1),(114,1)}
        96:{1,2,4,5,6}:{(76,1),(80,1),(111,1),(113,1),(115,1),(136,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(114,1)}
        98:{2,3,4,6}:{(78,1),(83,1),(110,1),(116,1)}
        99:{2,3,5,6,7}:{(82,1),(86,1),(118,1)}
       100:{2,3,5,6}:{(79,1),(80,1),(87,1),(113,1),(119,1)}
       101:{2,3,4,7}:{(79,1),(88,1),(114,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(119,1),(120,1)}
       103:{1,3,4,6,7}:{(81,1),(82,1),(90,1),(118,1),(120,1),(124,1),(139,1),(146,1)}
       104:{1,3,5,6}:{(83,1),(84,1),(116,1),(122,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(88,1),(117,1),(122,1),(124,1)}
       106:{1,2,4,5,7}:{(84,1),(85,1),(122,1),(140,1)}
       107:{1,4,5,6,7}:{(86,1),(90,1),(118,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(119,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(120,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(98,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(126,1),(127,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(100,1),(128,1)}
       114:{1,3,4,7}:{(95,1),(97,1),(101,1),(128,1)}
       115:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(127,1),(128,1),(129,1),(143,1)}
       116:{2,3,5,6}:{(98,1),(104,1),(125,1),(130,1),(131,1)}
       117:{2,3,4,6,7}:{(98,1),(101,1),(105,1),(126,1),(131,1),(133,1),(145,1)}
       118:{1,3,5,6,7}:{(99,1),(103,1),(107,1),(132,1)}
       119:{2,3,5,7}:{(100,1),(101,1),(102,1),(108,1),(128,1),(133,1)}
       120:{2,4,6,7}:{(102,1),(103,1),(132,1),(133,1)}
       121:{1,3,4,5,6}:{(104,1),(130,1),(134,1)}
       122:{1,3,5,7}:{(104,1),(105,1),(106,1),(131,1)}
       123:{1,2,4,5,6,7}:{(106,1),(107,1),(109,1),(132,1),(135,1),(145,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(133,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(116,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(117,1),(137,1),(139,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{1,3,5,7}:{(113,1),(114,1),(115,1),(119,1),(139,1)}
       129:{1,2,4,6,7}:{(115,1),(120,1),(138,1),(139,1),(146,1)}
       130:{2,4,5,6}:{(116,1),(121,1),(136,1),(140,1)}
       131:{2,3,5,7}:{(116,1),(117,1),(122,1),(137,1),(140,1)}
       132:{2,5,6,7}:{(118,1),(120,1)}
       133:{2,3,6,7}:{(119,1),(120,1),(124,1),(139,1)}
       134:{1,3,4,5,7}:{(121,1),(122,1),(140,1),(142,1)}
       135:{1,3,5,6,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(130,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(129,1),(132,1),(144,1)}
       139:{1,3,6,7}:{(128,1),(129,1),(133,1)}
       140:{2,4,5,7}:{(130,1),(131,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6,7}:{(131,1),(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,6,7}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,6,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

2987 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(103,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(51,1),(98,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(100,1),(101,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(16,1),(96,1)}
         4:{2,3,4,6,7}:{(1,1),(13,1),(14,1),(66,1),(90,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(37,1),(93,1),(95,1)}
         6:{2,4,5,6}:{(2,1),(15,1),(16,1)}
         7:{2,3,4,5,7}:{(3,1),(17,1),(18,1),(29,1),(87,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(21,1),(100,1),(104,1)}
         9:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(23,1),(85,1),(100,1)}
        10:{1,2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(59,1),(85,1)}
        11:{1,2,3,4,6}:{(23,1),(24,1),(25,1),(59,1)}
        12:{3,4,5,6,7}:{(26,1),(97,1)}
        13:{2,3,5,6,7}:{(4,1),(26,1),(27,1)}
        14:{1,3,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(54,1),(82,1),(86,1)}
        15:{2,4,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(29,1),(30,1)}
        17:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(45,1),(75,1)}
        18:{1,3,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(93,1),(102,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(35,1)}
        20:{1,2,4,5,7}:{(9,1),(15,1),(34,1),(36,1),(37,1),(40,1),(72,1),(93,1)}
        21:{1,3,5,6}:{(9,1),(16,1),(35,1),(37,1),(38,1)}
        22:{1,2,3,5,7}:{(10,1),(37,1),(39,1),(40,1),(72,1)}
        23:{1,2,4,6}:{(10,1),(38,1),(40,1),(41,1)}
        24:{1,2,3,4,7}:{(11,1),(40,1),(42,1)}
        25:{1,2,3,5}:{(11,1),(41,1)}
        26:{2,4,5,6,7}:{(12,1),(13,1),(43,1),(90,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(14,1),(15,1),(44,1),(45,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(37,1),(45,1),(46,1)}
        30:{2,3,4,6}:{(16,1),(38,1),(46,1),(47,1)}
        31:{3,4,5,6,7}:{(48,1),(86,1)}
        32:{2,3,5,6,7}:{(17,1),(48,1),(49,1)}
        33:{1,3,4,6,7}:{(17,1),(18,1),(49,1),(50,1),(54,1),(82,1),(97,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(50,1),(51,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(51,1),(52,1)}
        36:{1,2,4,6,7}:{(20,1),(28,1),(50,1),(53,1),(54,1),(82,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(29,1),(51,1),(54,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(23,1),(30,1),(52,1),(55,1),(56,1)}
        39:{1,2,3,6,7}:{(22,1),(54,1),(57,1),(59,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(55,1)}
        41:{1,2,4,5}:{(23,1),(25,1),(56,1)}
        42:{1,2,3,5,7}:{(24,1),(25,1),(58,1),(59,1)}
        43:{1,4,5,6,7}:{(26,1),(27,1),(60,1),(82,1)}
        44:{2,5,6,7}:{(27,1),(28,1)}
        45:{2,3,6,7}:{(28,1),(29,1),(54,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(55,1)}
        47:{2,3,4,5}:{(30,1),(56,1)}
        48:{2,4,5,6,7}:{(31,1),(32,1),(64,1),(75,1)}
        49:{1,3,5,6,7}:{(32,1),(33,1),(64,1),(65,1),(89,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(65,1),(66,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(66,1),(67,1)}
        52:{2,3,4,6}:{(35,1),(38,1),(67,1),(68,1)}
        53:{1,2,5,6,7}:{(36,1),(44,1),(65,1),(69,1),(72,1)}
        54:{1,3,6,7}:{(36,1),(37,1),(45,1),(66,1)}
        55:{1,3,4,7}:{(37,1),(38,1),(40,1),(46,1),(67,1)}
        56:{1,3,4,5}:{(38,1),(41,1),(47,1),(68,1)}
        57:{1,2,4,6,7}:{(39,1),(40,1),(70,1),(72,1),(73,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1),(73,1)}
        59:{1,2,3,6}:{(42,1),(73,1)}
        60:{2,4,5,6,7}:{(43,1),(44,1),(74,1),(75,1)}
        61:{2,3,5,6,7}:{(44,1),(45,1),(69,1),(74,1),(75,1),(76,1)}
        62:{2,3,4,6,7}:{(45,1),(46,1),(70,1),(75,1),(76,1),(77,1)}
        63:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(76,1),(77,1)}
        64:{1,4,5,6,7}:{(48,1),(49,1),(78,1),(82,1)}
        65:{2,5,6,7}:{(49,1),(50,1)}
        66:{2,3,6,7}:{(50,1),(51,1),(54,1)}
        67:{2,3,4,7}:{(51,1),(52,1),(55,1)}
        68:{2,3,4,5}:{(52,1),(56,1)}
        69:{1,3,5,6,7}:{(53,1),(54,1),(61,1),(79,1),(82,1),(83,1)}
        70:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(62,1),(80,1),(82,1),(83,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(58,1),(63,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,7}:{(57,1),(83,1),(85,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(84,1),(85,1)}
        74:{3,5,6,7}:{(60,1),(86,1)}
        75:{2,4,6,7}:{(61,1),(82,1),(86,1),(87,1)}
        76:{2,3,5,7}:{(62,1),(83,1),(87,1),(88,1)}
        77:{2,3,4,6}:{(63,1),(84,1),(88,1)}
        78:{2,4,5,6,7}:{(64,1),(65,1),(89,1),(90,1)}
        79:{2,3,5,6,7}:{(65,1),(66,1),(69,1),(89,1),(90,1),(91,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(70,1),(90,1),(91,1),(92,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(71,1),(91,1),(92,1)}
        82:{1,4,6,7}:{(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(76,1),(91,1),(93,1),(94,1)}
        84:{1,3,4,6}:{(71,1),(73,1),(77,1),(92,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(73,1),(94,1)}
        86:{3,4,6,7}:{(74,1),(75,1),(95,1)}
        87:{2,4,5,7}:{(75,1),(76,1),(93,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(76,1),(77,1),(94,1),(96,1)}
        89:{3,5,6,7}:{(78,1),(97,1)}
        90:{2,4,6,7}:{(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,7}:{(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1)}
        93:{1,4,5,7}:{(82,1),(83,1),(87,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(86,1),(87,1),(101,1)}
        96:{2,4,5,6}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,6,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,3,5,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6}:{(95,1),(96,1)}
       102:{3,4,5,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

2988 :   0:{2,3,4,5,6}:{(2,1),(3,1),(38,1),(96,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(27,1),(30,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(90,1),(93,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(57,1),(101,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(17,1),(82,1)}
         5:{1,2,3,5}:{(1,1),(13,1)}
         6:{1,2,3,4,7}:{(1,1),(15,1),(46,1)}
         7:{2,4,5,6}:{(2,1),(17,1),(18,1)}
         8:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(19,1),(44,1),(99,1),(100,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(20,1),(73,1),(97,1)}
        10:{1,3,4,5,6}:{(4,1),(21,1),(22,1),(25,1),(90,1),(102,1)}
        11:{2,3,4,5,7}:{(4,1),(22,1),(23,1),(33,1),(92,1)}
        12:{1,2,4,5,6}:{(7,1),(21,1),(25,1),(26,1),(27,1),(66,1),(90,1)}
        13:{1,2,4,5}:{(5,1),(24,1),(27,1)}
        14:{1,2,3,5,6}:{(5,1),(25,1),(27,1),(29,1),(30,1),(66,1)}
        15:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(30,1)}
        16:{2,3,4,5}:{(24,1),(31,1)}
        17:{2,3,5,6}:{(7,1),(25,1),(31,1),(33,1)}
        18:{2,4,5,7}:{(7,1),(8,1),(33,1),(34,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(34,1),(35,1),(63,1),(91,1),(94,1)}
        20:{2,3,5,6,7}:{(9,1),(35,1),(36,1)}
        21:{2,4,5,6}:{(10,1),(38,1),(39,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(39,1),(40,1),(44,1),(99,1),(104,1)}
        23:{2,3,4,6,7}:{(11,1),(40,1),(41,1),(51,1),(83,1)}
        24:{1,3,4,5}:{(13,1),(16,1),(37,1),(42,1)}
        25:{1,3,5,6}:{(12,1),(17,1),(38,1),(42,1),(44,1)}
        26:{1,2,4,5,7}:{(12,1),(18,1),(39,1),(44,1),(45,1),(46,1),(80,1),(99,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(42,1),(46,1)}
        28:{1,2,4,5,7}:{(13,1),(15,1),(43,1),(46,1),(47,1),(80,1)}
        29:{1,2,3,5,7}:{(14,1),(44,1),(46,1),(48,1),(80,1)}
        30:{1,2,3,6}:{(15,1),(47,1)}
        31:{2,3,4,6}:{(16,1),(17,1),(42,1),(49,1)}
        32:{2,3,4,5,7}:{(16,1),(43,1),(49,1),(50,1),(81,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(44,1),(49,1),(51,1)}
        34:{2,4,6,7}:{(18,1),(19,1),(51,1),(52,1)}
        35:{1,3,5,6,7}:{(19,1),(20,1),(52,1),(53,1),(84,1)}
        36:{2,4,5,6,7}:{(20,1),(53,1),(54,1),(97,1)}
        37:{2,3,4,5}:{(24,1),(55,1)}
        38:{2,3,5,6}:{(21,1),(25,1),(55,1),(57,1)}
        39:{2,4,5,7}:{(21,1),(22,1),(57,1),(58,1)}
        40:{1,3,4,6,7}:{(22,1),(23,1),(58,1),(59,1),(63,1),(91,1),(103,1)}
        41:{2,3,5,6,7}:{(23,1),(59,1),(60,1)}
        42:{1,3,4,6}:{(24,1),(25,1),(27,1),(31,1),(55,1),(61,1)}
        43:{1,3,4,5,7}:{(24,1),(28,1),(32,1),(56,1),(61,1),(62,1),(89,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(63,1)}
        45:{1,2,4,6,7}:{(26,1),(34,1),(58,1),(63,1),(64,1),(91,1)}
        46:{1,2,4,7}:{(27,1),(29,1),(61,1)}
        47:{1,2,4,6}:{(28,1),(30,1),(62,1),(66,1)}
        48:{1,2,3,6,7}:{(29,1),(30,1),(63,1),(65,1)}
        49:{2,3,4,7}:{(31,1),(33,1),(61,1)}
        50:{2,3,4,6}:{(32,1),(62,1),(68,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(63,1)}
        52:{2,5,6,7}:{(34,1),(35,1)}
        53:{1,4,5,6,7}:{(35,1),(36,1),(70,1),(91,1)}
        54:{3,4,5,6,7}:{(36,1),(103,1)}
        55:{2,3,4,6}:{(37,1),(38,1),(42,1),(71,1)}
        56:{2,3,4,5,7}:{(37,1),(43,1),(71,1),(72,1),(95,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(44,1),(71,1),(73,1)}
        58:{2,4,6,7}:{(39,1),(40,1),(73,1),(74,1)}
        59:{1,3,5,6,7}:{(40,1),(41,1),(74,1),(75,1),(98,1)}
        60:{2,4,5,6,7}:{(41,1),(75,1),(76,1),(83,1)}
        61:{1,3,4,7}:{(42,1),(44,1),(46,1),(49,1),(71,1)}
        62:{1,3,4,6}:{(43,1),(47,1),(50,1),(72,1),(78,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(51,1),(73,1)}
        64:{1,2,5,6,7}:{(45,1),(52,1),(74,1),(79,1),(80,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(77,1),(80,1)}
        66:{1,2,5,6}:{(47,1),(78,1),(80,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(51,1),(77,1),(81,1),(83,1)}
        68:{2,3,5,6}:{(50,1),(78,1),(81,1),(82,1)}
        69:{2,3,5,6,7}:{(51,1),(52,1),(79,1),(81,1),(83,1),(84,1)}
        70:{2,4,5,6,7}:{(52,1),(53,1),(83,1),(84,1)}
        71:{2,3,4,7}:{(55,1),(57,1),(61,1)}
        72:{2,3,4,6}:{(56,1),(62,1),(86,1)}
        73:{2,3,6,7}:{(57,1),(58,1),(63,1)}
        74:{2,5,6,7}:{(58,1),(59,1)}
        75:{1,4,5,6,7}:{(59,1),(60,1),(88,1),(91,1)}
        76:{3,4,5,6,7}:{(60,1),(94,1)}
        77:{1,3,4,6,7}:{(61,1),(62,1),(63,1),(65,1),(67,1),(85,1),(89,1),(91,1)}
        78:{1,3,5,6}:{(62,1),(66,1),(68,1),(86,1),(89,1),(90,1)}
        79:{1,3,5,6,7}:{(63,1),(64,1),(69,1),(87,1),(89,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(89,1)}
        81:{2,3,5,7}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,5,6}:{(68,1),(90,1),(92,1),(93,1)}
        83:{2,4,6,7}:{(69,1),(91,1),(92,1),(94,1)}
        84:{3,5,6,7}:{(70,1),(94,1)}
        85:{2,3,4,6,7}:{(71,1),(72,1),(73,1),(77,1),(95,1),(97,1)}
        86:{2,3,5,6}:{(72,1),(78,1),(95,1),(96,1)}
        87:{2,3,5,6,7}:{(73,1),(74,1),(79,1),(95,1),(97,1),(98,1)}
        88:{2,4,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{1,3,5,7}:{(77,1),(78,1),(80,1),(81,1),(95,1),(99,1)}
        90:{1,4,5,6}:{(78,1),(82,1),(96,1),(99,1)}
        91:{1,4,6,7}:{(79,1),(83,1),(97,1),(99,1)}
        92:{2,4,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        93:{3,4,5,6}:{(82,1),(100,1)}
        94:{3,4,6,7}:{(83,1),(84,1),(100,1)}
        95:{2,3,5,7}:{(85,1),(86,1),(89,1),(101,1)}
        96:{2,4,5,6}:{(86,1),(90,1),(101,1),(102,1)}
        97:{2,4,6,7}:{(87,1),(91,1),(101,1),(103,1)}
        98:{3,5,6,7}:{(88,1),(103,1)}
        99:{1,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(94,1)}
       101:{2,4,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,4,5,6}:{(96,1),(104,1)}
       103:{3,4,6,7}:{(97,1),(98,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

2989 :   0:{1,3,4,5,6,7}:{(2,1),(10,1),(13,1),(56,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(19,1),(23,1),(44,1),(50,1),(51,1),(92,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(78,1)}
         3:{1,3,4,5,6,7}:{(8,1),(24,1),(27,1),(31,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(64,1),(69,1),(73,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(13,1),(99,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(33,1),(102,1)}
         7:{1,2,4,5,6,7}:{(14,1),(16,1),(39,1),(43,1),(44,1),(79,1),(80,1),(122,1)}
         8:{2,4,5,6,7}:{(3,1),(15,1),(16,1),(39,1),(43,1),(49,1)}
         9:{1,2,3,5,6,7}:{(17,1),(20,1),(40,1),(45,1),(86,1),(92,1),(93,1),(122,1),(123,1),(130,1),(131,1),(159,1)}
        10:{1,3,4,6,7}:{(4,1),(18,1),(19,1),(84,1)}
        11:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(23,1),(47,1),(54,1),(86,1),(92,1),(93,1)}
        12:{2,3,4,6,7}:{(5,1),(19,1),(21,1),(22,1),(93,1),(119,1)}
        13:{1,3,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(121,1)}
        14:{1,3,5,6,7}:{(7,1),(24,1),(25,1),(64,1),(100,1),(104,1)}
        15:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(68,1)}
        16:{1,4,5,6,7}:{(8,1),(27,1),(58,1),(71,1)}
        17:{1,2,4,6,7}:{(9,1),(28,1),(29,1),(33,1),(58,1),(70,1),(101,1),(107,1),(145,1),(148,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(32,1),(69,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(32,1),(33,1),(107,1)}
        20:{1,3,5,6,7}:{(11,1),(33,1),(34,1),(69,1),(73,1),(109,1)}
        21:{2,3,4,5,7}:{(12,1),(32,1),(35,1),(36,1),(115,1)}
        22:{1,3,4,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(73,1),(138,1)}
        23:{2,5,6,7}:{(13,1),(37,1),(140,1)}
        24:{1,3,4,6,7}:{(14,1),(38,1),(39,1),(84,1)}
        25:{2,3,5,6,7}:{(14,1),(39,1),(40,1),(43,1),(76,1),(83,1),(86,1),(122,1),(123,1)}
        26:{2,3,4,6,7}:{(15,1),(39,1),(41,1),(42,1),(89,1),(123,1)}
        27:{1,3,5,6,7}:{(15,1),(16,1),(42,1),(43,1),(91,1)}
        28:{1,2,4,5,7}:{(17,1),(44,1),(45,1),(50,1),(79,1),(85,1),(92,1),(122,1)}
        29:{1,3,4,6,7}:{(17,1),(45,1),(46,1),(84,1),(159,1),(160,1)}
        30:{2,3,4,6,7}:{(19,1),(47,1),(48,1),(54,1),(89,1),(97,1)}
        31:{1,3,4,5,6}:{(18,1),(49,1),(84,1),(91,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(47,1),(49,1),(50,1),(92,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(50,1),(128,1)}
        34:{1,2,5,6,7}:{(20,1),(23,1),(51,1),(92,1),(130,1)}
        35:{2,3,4,5,6}:{(21,1),(49,1),(52,1),(119,1),(134,1),(158,1)}
        36:{1,3,4,5,7}:{(21,1),(22,1),(50,1),(52,1),(53,1),(95,1)}
        37:{2,4,6,7}:{(22,1),(23,1),(53,1),(54,1),(153,1)}
        38:{1,3,4,5,7}:{(24,1),(56,1),(57,1),(100,1)}
        39:{2,4,6,7}:{(24,1),(25,1),(57,1),(58,1),(107,1)}
        40:{1,3,5,6,7}:{(25,1),(58,1),(59,1),(100,1),(104,1),(109,1)}
        41:{2,3,4,5,7}:{(26,1),(57,1),(60,1),(61,1),(141,1)}
        42:{1,3,4,6,7}:{(26,1),(27,1),(58,1),(61,1),(62,1),(104,1),(112,1)}
        43:{2,5,6,7}:{(27,1),(62,1),(114,1)}
        44:{1,2,4,5,6}:{(28,1),(64,1),(71,1),(102,1),(107,1),(114,1),(140,1),(145,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(64,1),(65,1)}
        46:{2,3,4,6,7}:{(29,1),(65,1),(66,1),(70,1),(101,1),(107,1),(149,1),(150,1),(164,1),(165,1)}
        47:{2,3,5,7}:{(30,1),(32,1),(68,1),(69,1)}
        48:{1,3,4,6,7}:{(30,1),(33,1),(69,1),(70,1),(73,1),(112,1),(117,1)}
        49:{2,4,5,6}:{(31,1),(32,1),(68,1),(71,1),(107,1),(114,1)}
        50:{1,4,5,7}:{(32,1),(33,1),(69,1),(71,1)}
        51:{1,2,4,6,7}:{(33,1),(34,1),(37,1),(70,1),(72,1),(73,1),(145,1)}
        52:{1,3,4,5,6}:{(35,1),(36,1),(71,1),(74,1),(116,1),(138,1),(167,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(74,1),(75,1)}
        54:{2,3,6,7}:{(37,1),(73,1),(75,1),(164,1)}
        55:{2,3,4,6,7}:{(39,1),(76,1),(77,1),(83,1),(119,1),(127,1)}
        56:{1,3,4,5,6}:{(38,1),(78,1),(84,1),(121,1)}
        57:{2,4,5,7}:{(38,1),(39,1),(76,1),(78,1),(79,1),(122,1)}
        58:{1,4,6,7}:{(39,1),(40,1),(79,1),(128,1)}
        59:{1,2,5,6,7}:{(40,1),(43,1),(80,1),(122,1),(130,1)}
        60:{2,3,4,5,6}:{(41,1),(78,1),(81,1),(89,1),(137,1),(155,1)}
        61:{1,3,4,5,7}:{(41,1),(42,1),(79,1),(81,1),(82,1),(125,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(82,1),(83,1),(132,1)}
        63:{1,3,4,5,7}:{(45,1),(84,1),(85,1)}
        64:{1,3,5,6}:{(44,1),(45,1),(84,1),(86,1),(159,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(85,1),(86,1),(87,1),(92,1),(122,1)}
        66:{1,3,4,6,7}:{(46,1),(87,1),(88,1),(128,1),(159,1),(160,1)}
        67:{2,3,4,5,7}:{(47,1),(85,1),(89,1),(90,1),(97,1),(137,1),(154,1)}
        68:{2,3,5,6}:{(47,1),(49,1),(89,1),(91,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(50,1),(91,1),(92,1)}
        70:{2,4,6,7}:{(48,1),(92,1),(93,1),(132,1),(135,1)}
        71:{1,4,5,6}:{(49,1),(50,1),(91,1),(128,1)}
        72:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(92,1),(94,1),(95,1),(135,1)}
        73:{1,3,6,7}:{(51,1),(54,1),(93,1),(95,1),(159,1)}
        74:{2,4,5,6}:{(52,1),(53,1),(96,1),(153,1),(172,1)}
        75:{2,3,5,7}:{(53,1),(54,1),(95,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(99,1),(100,1)}
        77:{1,3,4,6,7}:{(55,1),(58,1),(100,1),(101,1),(104,1),(138,1),(143,1)}
        78:{2,4,5,6}:{(56,1),(57,1),(99,1),(102,1),(107,1),(140,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(100,1),(102,1)}
        80:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(101,1),(103,1),(104,1),(145,1)}
        81:{1,3,4,5,6}:{(60,1),(61,1),(102,1),(105,1),(112,1),(142,1),(152,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(105,1),(106,1)}
        83:{2,3,6,7}:{(62,1),(104,1),(106,1),(149,1)}
        84:{1,3,4,6}:{(63,1),(64,1),(107,1)}
        85:{2,4,5,7}:{(63,1),(65,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(64,1),(65,1),(107,1),(109,1),(114,1),(140,1),(149,1),(164,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(108,1),(109,1),(110,1)}
        88:{1,2,4,6,7}:{(66,1),(70,1),(101,1),(110,1),(111,1),(145,1),(148,1)}
        89:{2,3,4,6}:{(67,1),(68,1),(107,1),(112,1),(164,1)}
        90:{1,3,4,5,7}:{(67,1),(69,1),(108,1),(112,1),(113,1),(117,1),(146,1),(152,1)}
        91:{1,3,5,6}:{(68,1),(69,1),(71,1),(112,1),(114,1)}
        92:{2,5,7}:{(69,1),(70,1),(114,1)}
        93:{2,3,6,7}:{(70,1),(73,1),(115,1),(149,1)}
        94:{1,2,4,5,6}:{(71,1),(72,1),(74,1),(114,1),(116,1),(145,1),(151,1),(169,1)}
        95:{1,3,5,7}:{(72,1),(73,1),(75,1),(115,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(74,1),(75,1),(116,1),(118,1),(164,1),(174,1)}
        97:{2,3,4,7}:{(75,1),(117,1),(118,1)}
        98:{2,3,4,5,7}:{(76,1),(85,1),(119,1),(120,1),(127,1),(133,1),(158,1)}
        99:{2,3,5,6}:{(76,1),(78,1),(119,1),(121,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(79,1),(121,1),(122,1)}
       101:{2,4,6,7}:{(77,1),(122,1),(123,1),(153,1),(156,1)}
       102:{1,4,5,6}:{(78,1),(79,1),(121,1),(128,1)}
       103:{1,2,4,5,7}:{(79,1),(80,1),(82,1),(122,1),(124,1),(125,1),(156,1)}
       104:{1,3,6,7}:{(80,1),(83,1),(123,1),(125,1),(159,1)}
       105:{2,4,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       106:{2,3,5,7}:{(82,1),(83,1),(125,1),(126,1),(127,1)}
       107:{2,4,6}:{(84,1),(85,1),(86,1),(128,1)}
       108:{1,4,5,7}:{(85,1),(87,1),(128,1)}
       109:{1,3,5,6}:{(86,1),(87,1),(128,1),(130,1),(159,1)}
       110:{1,2,5,7}:{(87,1),(88,1),(92,1),(122,1),(130,1)}
       111:{1,2,3,6,7}:{(88,1),(93,1),(123,1),(131,1),(159,1)}
       112:{1,3,4,6}:{(89,1),(90,1),(91,1),(128,1),(132,1),(159,1)}
       113:{2,4,5,7}:{(90,1),(92,1),(132,1),(133,1),(135,1),(163,1)}
       114:{2,5,6}:{(91,1),(92,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(95,1),(134,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(95,1),(96,1),(134,1),(136,1),(159,1),(173,1)}
       117:{1,3,4,7}:{(95,1),(97,1),(135,1),(136,1)}
       118:{2,3,4,6}:{(96,1),(97,1),(136,1),(137,1)}
       119:{2,3,4,6}:{(98,1),(99,1),(107,1),(138,1),(149,1)}
       120:{1,3,4,5,7}:{(98,1),(100,1),(108,1),(138,1),(139,1),(143,1),(146,1),(167,1)}
       121:{1,3,5,6}:{(99,1),(100,1),(102,1),(138,1),(140,1)}
       122:{2,5,7}:{(100,1),(101,1),(140,1)}
       123:{2,3,6,7}:{(101,1),(104,1),(141,1),(164,1)}
       124:{1,2,4,5,6}:{(102,1),(103,1),(105,1),(140,1),(142,1),(145,1),(166,1),(169,1)}
       125:{1,3,5,7}:{(103,1),(104,1),(106,1),(141,1),(142,1),(143,1)}
       126:{2,3,5,6}:{(105,1),(106,1),(142,1),(144,1),(149,1),(170,1)}
       127:{2,3,4,7}:{(106,1),(143,1),(144,1)}
       128:{1,4,6}:{(107,1),(108,1),(109,1)}
       129:{1,2,4,5,7}:{(108,1),(110,1),(113,1),(139,1),(145,1),(146,1),(148,1),(169,1)}
       130:{1,2,5,6}:{(109,1),(110,1),(114,1),(140,1),(145,1)}
       131:{1,2,3,5,7}:{(110,1),(111,1),(115,1),(141,1),(146,1),(147,1),(148,1)}
       132:{2,4,6}:{(112,1),(113,1),(114,1),(149,1)}
       133:{2,3,5,7}:{(113,1),(146,1),(149,1),(150,1),(170,1)}
       134:{2,3,5,6}:{(114,1),(115,1),(116,1),(149,1),(151,1),(170,1)}
       135:{2,4,7}:{(115,1),(117,1),(151,1)}
       136:{1,3,4,6}:{(116,1),(117,1),(118,1),(151,1),(152,1)}
       137:{2,3,4,5}:{(118,1),(152,1),(174,1)}
       138:{1,3,4,6}:{(119,1),(120,1),(121,1),(128,1),(153,1),(159,1)}
       139:{2,4,5,7}:{(120,1),(122,1),(153,1),(154,1),(156,1),(172,1)}
       140:{2,5,6}:{(121,1),(122,1),(153,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(125,1),(155,1),(156,1)}
       142:{1,3,5,6}:{(124,1),(125,1),(126,1),(155,1),(157,1),(159,1),(173,1)}
       143:{1,3,4,7}:{(125,1),(127,1),(156,1),(157,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(157,1),(158,1)}
       145:{1,2,4,6}:{(128,1),(129,1),(130,1),(132,1),(153,1),(159,1)}
       146:{1,3,5,7}:{(129,1),(133,1),(154,1),(159,1),(160,1),(173,1)}
       147:{1,2,3,5,6}:{(130,1),(131,1),(134,1),(155,1),(159,1),(161,1),(173,1)}
       148:{1,2,4,7}:{(131,1),(135,1),(156,1),(160,1),(161,1)}
       149:{2,3,6}:{(132,1),(133,1),(159,1)}
       150:{2,3,4,7}:{(133,1),(135,1),(160,1),(162,1)}
       151:{2,4,6}:{(134,1),(135,1),(136,1),(163,1)}
       152:{1,3,4,5}:{(136,1),(137,1),(163,1),(173,1)}
       153:{2,4,6}:{(138,1),(139,1),(140,1),(164,1)}
       154:{2,3,5,7}:{(139,1),(146,1),(164,1),(165,1),(174,1)}
       155:{2,3,5,6}:{(140,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       156:{2,4,7}:{(141,1),(143,1),(166,1)}
       157:{1,3,4,6}:{(142,1),(143,1),(144,1),(166,1),(167,1)}
       158:{2,3,4,5}:{(144,1),(167,1),(170,1)}
       159:{1,3,6}:{(145,1),(146,1),(149,1),(164,1)}
       160:{1,3,4,7}:{(146,1),(148,1),(150,1),(165,1),(168,1)}
       161:{1,2,4,6}:{(147,1),(148,1),(151,1),(166,1),(168,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(151,1),(168,1),(170,1)}
       163:{2,4,5}:{(151,1),(152,1),(170,1)}
       164:{2,3,6}:{(153,1),(154,1),(159,1)}
       165:{2,3,4,7}:{(154,1),(156,1),(160,1),(171,1)}
       166:{2,4,6}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,3,4,5}:{(157,1),(158,1),(172,1),(173,1)}
       168:{1,3,4,6}:{(159,1),(160,1),(161,1),(162,1),(171,1),(173,1)}
       169:{1,2,4,5}:{(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,5}:{(162,1),(163,1),(173,1)}
       171:{2,3,4,6}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       172:{2,4,5}:{(166,1),(167,1),(174,1)}
       173:{1,3,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,3,5}:{(171,1),(172,1),(173,1)}

2990 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

2991 :   0:{1,3,4,5,6,7}:{(1,1),(8,1),(27,1),(88,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(15,1),(40,1),(113,1)}
         2:{1,3,4,5,6,7}:{(5,1),(19,1),(47,1),(58,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(135,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(56,1),(136,1)}
         5:{2,4,5,6,7}:{(2,1),(10,1),(11,1),(31,1),(65,1),(79,1)}
         6:{2,3,4,5,6}:{(12,1),(13,1),(72,1),(79,1),(108,1),(151,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(14,1),(40,1),(75,1),(151,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(155,1)}
         9:{1,2,4,5,6,7}:{(4,1),(15,1),(16,1),(37,1),(40,1),(69,1),(78,1),(126,1)}
        10:{2,3,5,6,7}:{(5,1),(18,1),(19,1),(102,1)}
        11:{1,4,5,6,7}:{(5,1),(19,1),(86,1),(103,1)}
        12:{2,3,4,5,7}:{(6,1),(7,1),(22,1),(57,1),(95,1)}
        13:{1,3,4,5,6}:{(6,1),(22,1),(23,1),(52,1),(103,1),(132,1),(165,1)}
        14:{1,3,4,6,7}:{(7,1),(8,1),(22,1),(24,1),(54,1),(56,1),(165,1)}
        15:{2,5,6,7}:{(8,1),(24,1),(167,1)}
        16:{1,3,5,6,7}:{(9,1),(26,1),(27,1),(54,1),(94,1),(101,1)}
        17:{2,3,4,5,6}:{(28,1),(29,1),(74,1),(106,1),(113,1),(123,1)}
        18:{2,3,4,6,7}:{(10,1),(28,1),(30,1),(65,1),(109,1),(123,1)}
        19:{1,3,5,6,7}:{(10,1),(11,1),(30,1),(31,1),(127,1)}
        20:{1,2,4,5,6,7}:{(11,1),(31,1),(32,1),(62,1),(65,1),(69,1),(112,1),(154,1)}
        21:{1,2,3,5,6,7}:{(33,1),(39,1),(64,1),(68,1),(75,1),(109,1),(114,1),(120,1),(126,1),(154,1),(160,1),(173,1)}
        22:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(34,1),(70,1),(78,1)}
        23:{2,4,5,6}:{(13,1),(34,1),(36,1),(153,1),(172,1)}
        24:{2,4,6,7}:{(14,1),(15,1),(34,1),(38,1),(172,1)}
        25:{1,2,5,6,7}:{(15,1),(37,1),(39,1),(126,1),(160,1)}
        26:{2,3,5,6,7}:{(15,1),(16,1),(38,1),(39,1),(40,1),(75,1),(77,1),(120,1),(126,1)}
        27:{1,3,4,6,7}:{(16,1),(40,1),(41,1),(116,1)}
        28:{2,3,4,5,7}:{(17,1),(18,1),(42,1),(87,1),(128,1)}
        29:{1,3,4,5,6}:{(17,1),(42,1),(43,1),(82,1),(99,1),(136,1),(146,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(42,1),(44,1),(84,1),(86,1),(146,1)}
        31:{2,5,6,7}:{(19,1),(44,1),(148,1)}
        32:{1,3,5,6,7}:{(20,1),(46,1),(47,1),(84,1),(94,1),(134,1)}
        33:{1,2,4,6,7}:{(21,1),(48,1),(49,1),(56,1),(86,1),(100,1),(133,1),(137,1),(139,1),(169,1)}
        34:{2,4,5,7}:{(22,1),(23,1),(24,1),(51,1)}
        35:{1,2,4,5,6}:{(23,1),(50,1),(52,1),(98,1),(103,1),(141,1),(148,1),(169,1)}
        36:{2,3,5,6}:{(23,1),(51,1),(52,1),(53,1),(166,1),(174,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(50,1),(54,1),(56,1),(100,1),(169,1)}
        38:{2,3,6,7}:{(24,1),(51,1),(54,1),(174,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(101,1),(143,1)}
        40:{2,4,6,7}:{(26,1),(27,1),(56,1),(57,1),(139,1)}
        41:{1,3,4,5,7}:{(27,1),(57,1),(58,1),(101,1)}
        42:{1,3,4,5,7}:{(28,1),(29,1),(30,1),(59,1),(104,1),(112,1)}
        43:{2,4,5,6}:{(29,1),(59,1),(61,1),(125,1),(162,1)}
        44:{2,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(162,1)}
        45:{1,2,5,6,7}:{(31,1),(62,1),(64,1),(154,1),(160,1)}
        46:{2,3,5,6,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(109,1),(111,1),(120,1),(154,1)}
        47:{1,3,4,6,7}:{(32,1),(65,1),(66,1),(116,1)}
        48:{1,3,4,6,7}:{(33,1),(67,1),(68,1),(116,1),(156,1),(173,1)}
        49:{1,2,4,5,7}:{(33,1),(68,1),(69,1),(78,1),(112,1),(115,1),(126,1),(154,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(70,1),(78,1),(121,1),(126,1)}
        51:{2,3,5,7}:{(34,1),(36,1),(38,1),(70,1),(71,1)}
        52:{1,3,5,6}:{(35,1),(36,1),(70,1),(72,1),(73,1),(159,1),(173,1)}
        53:{2,3,4,6}:{(36,1),(71,1),(73,1),(74,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(70,1),(75,1),(173,1)}
        55:{2,3,4,6,7}:{(38,1),(40,1),(71,1),(76,1),(77,1),(123,1)}
        56:{1,4,6,7}:{(39,1),(40,1),(78,1),(158,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(77,1),(78,1),(79,1),(126,1)}
        58:{1,3,4,5,6}:{(41,1),(79,1),(116,1),(127,1)}
        59:{2,4,5,7}:{(42,1),(43,1),(44,1),(81,1)}
        60:{1,2,4,5,6}:{(43,1),(80,1),(82,1),(131,1),(136,1),(141,1),(167,1),(169,1)}
        61:{2,3,5,6}:{(43,1),(81,1),(82,1),(83,1),(147,1),(170,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(80,1),(84,1),(86,1),(133,1),(169,1)}
        63:{2,3,6,7}:{(44,1),(81,1),(84,1),(170,1)}
        64:{1,3,5,6,7}:{(45,1),(46,1),(84,1),(86,1),(134,1),(143,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(86,1),(87,1),(139,1)}
        66:{1,3,4,5,7}:{(47,1),(87,1),(88,1),(134,1)}
        67:{2,3,4,6,7}:{(48,1),(92,1),(93,1),(100,1),(133,1),(139,1),(144,1),(163,1),(170,1),(174,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(93,1),(94,1)}
        69:{1,2,4,5,6}:{(49,1),(94,1),(103,1),(136,1),(139,1),(148,1),(167,1),(169,1)}
        70:{1,3,5,7}:{(50,1),(51,1),(52,1),(54,1),(95,1),(96,1)}
        71:{2,3,4,7}:{(51,1),(53,1),(96,1)}
        72:{2,3,5,6}:{(52,1),(95,1),(98,1),(147,1),(148,1),(170,1)}
        73:{1,3,4,6}:{(52,1),(53,1),(96,1),(98,1),(99,1)}
        74:{2,3,4,5}:{(53,1),(99,1),(166,1)}
        75:{2,3,6,7}:{(54,1),(95,1),(100,1),(170,1)}
        76:{1,3,4,6,7}:{(54,1),(55,1),(56,1),(96,1),(100,1),(101,1),(146,1)}
        77:{2,3,5,7}:{(55,1),(57,1),(101,1),(102,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(101,1),(103,1)}
        79:{2,4,5,6}:{(57,1),(58,1),(102,1),(103,1),(139,1),(148,1)}
        80:{1,2,4,5,7}:{(59,1),(60,1),(62,1),(104,1),(112,1),(149,1),(154,1)}
        81:{2,3,5,7}:{(59,1),(61,1),(63,1),(104,1),(105,1)}
        82:{1,3,5,6}:{(60,1),(61,1),(104,1),(106,1),(107,1),(159,1),(173,1)}
        83:{2,3,4,6}:{(61,1),(105,1),(107,1),(108,1)}
        84:{1,3,6,7}:{(62,1),(63,1),(104,1),(109,1),(173,1)}
        85:{2,3,4,6,7}:{(63,1),(65,1),(105,1),(110,1),(111,1),(151,1)}
        86:{1,4,6,7}:{(64,1),(65,1),(112,1),(158,1)}
        87:{2,4,5,7}:{(65,1),(66,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,4,5,6}:{(66,1),(113,1),(116,1),(155,1)}
        89:{1,3,4,5,7}:{(68,1),(115,1),(116,1)}
        90:{1,2,3,5,6}:{(72,1),(106,1),(114,1),(117,1),(159,1),(160,1),(173,1)}
        91:{1,2,3,6,7}:{(75,1),(109,1),(114,1),(118,1),(173,1)}
        92:{1,3,4,6,7}:{(67,1),(118,1),(119,1),(156,1),(158,1),(173,1)}
        93:{2,3,5,7}:{(67,1),(68,1),(115,1),(119,1),(120,1),(126,1),(154,1)}
        94:{1,3,5,6}:{(68,1),(69,1),(116,1),(120,1),(173,1)}
        95:{2,3,5,7}:{(70,1),(72,1),(75,1),(121,1),(126,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(73,1),(121,1)}
        97:{2,3,4,5,7}:{(71,1),(74,1),(77,1),(115,1),(122,1),(123,1),(171,1)}
        98:{2,4,6}:{(72,1),(73,1),(121,1),(125,1)}
        99:{1,3,4,5}:{(73,1),(74,1),(125,1),(159,1)}
       100:{2,4,6,7}:{(75,1),(76,1),(121,1),(126,1),(162,1)}
       101:{1,3,5,7}:{(76,1),(77,1),(78,1),(126,1),(127,1)}
       102:{2,3,5,6}:{(77,1),(79,1),(123,1),(127,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(127,1),(158,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(82,1),(84,1),(128,1),(129,1)}
       105:{2,3,4,7}:{(81,1),(83,1),(129,1)}
       106:{2,3,5,6}:{(82,1),(128,1),(131,1),(166,1),(167,1),(174,1)}
       107:{1,3,4,6}:{(82,1),(83,1),(129,1),(131,1),(132,1)}
       108:{2,3,4,5}:{(83,1),(132,1),(147,1)}
       109:{2,3,6,7}:{(84,1),(128,1),(133,1),(174,1)}
       110:{1,3,4,6,7}:{(84,1),(85,1),(86,1),(129,1),(133,1),(134,1),(165,1)}
       111:{2,3,5,7}:{(85,1),(87,1),(134,1),(135,1)}
       112:{1,4,5,7}:{(86,1),(87,1),(134,1),(136,1)}
       113:{2,4,5,6}:{(87,1),(88,1),(135,1),(136,1),(139,1),(167,1)}
       114:{1,2,3,5,7}:{(90,1),(91,1),(95,1),(128,1),(137,1),(142,1),(168,1)}
       115:{2,4,5,7}:{(89,1),(93,1),(138,1),(139,1)}
       116:{1,3,4,6}:{(89,1),(94,1),(139,1)}
       117:{1,2,4,6}:{(90,1),(98,1),(131,1),(137,1),(140,1),(141,1)}
       118:{1,2,4,6,7}:{(91,1),(92,1),(100,1),(133,1),(137,1),(142,1),(169,1)}
       119:{1,3,5,7}:{(92,1),(93,1),(138,1),(142,1),(143,1)}
       120:{2,3,5,6}:{(93,1),(94,1),(139,1),(143,1),(148,1),(167,1),(170,1),(174,1)}
       121:{2,4,7}:{(95,1),(96,1),(98,1)}
       122:{1,3,4,5,7}:{(96,1),(97,1),(99,1),(101,1),(138,1),(145,1),(146,1),(168,1)}
       123:{2,3,4,6}:{(97,1),(102,1),(139,1),(146,1),(174,1)}
       124:{2,3,4,6}:{(98,1),(140,1),(144,1),(147,1),(170,1)}
       125:{2,4,5}:{(98,1),(99,1),(147,1)}
       126:{2,5,7}:{(100,1),(101,1),(148,1)}
       127:{1,3,5,6}:{(101,1),(102,1),(103,1),(146,1),(148,1)}
       128:{2,3,5,7}:{(104,1),(106,1),(109,1),(149,1),(154,1)}
       129:{1,3,4,7}:{(104,1),(105,1),(107,1),(149,1)}
       130:{2,3,4,5,7}:{(105,1),(108,1),(111,1),(115,1),(150,1),(151,1),(161,1)}
       131:{2,4,6}:{(106,1),(107,1),(149,1),(153,1)}
       132:{1,3,4,5}:{(107,1),(108,1),(153,1),(159,1)}
       133:{2,4,6,7}:{(109,1),(110,1),(149,1),(154,1),(172,1)}
       134:{1,3,5,7}:{(110,1),(111,1),(112,1),(154,1),(155,1)}
       135:{2,3,5,6}:{(111,1),(113,1),(151,1),(155,1)}
       136:{1,4,5,6}:{(112,1),(113,1),(155,1),(158,1)}
       137:{1,2,4,7}:{(114,1),(117,1),(121,1),(149,1),(156,1)}
       138:{1,4,5,7}:{(115,1),(119,1),(158,1)}
       139:{2,4,6}:{(115,1),(116,1),(120,1),(158,1)}
       140:{1,3,4,6}:{(117,1),(124,1),(152,1),(156,1),(159,1),(173,1)}
       141:{1,2,4,5}:{(117,1),(125,1),(153,1),(159,1)}
       142:{1,2,5,7}:{(118,1),(119,1),(126,1),(154,1),(160,1)}
       143:{1,3,5,6}:{(119,1),(120,1),(158,1),(160,1),(173,1)}
       144:{2,3,4,7}:{(121,1),(124,1),(156,1),(161,1)}
       145:{2,4,5,7}:{(121,1),(122,1),(125,1),(126,1),(161,1),(162,1)}
       146:{1,3,4,6}:{(122,1),(123,1),(127,1),(158,1),(162,1),(173,1)}
       147:{2,3,5}:{(124,1),(125,1),(159,1)}
       148:{2,5,6}:{(126,1),(127,1),(162,1)}
       149:{2,4,7}:{(128,1),(129,1),(131,1)}
       150:{1,3,4,5,7}:{(129,1),(130,1),(132,1),(134,1),(138,1),(164,1),(165,1),(168,1)}
       151:{2,3,4,6}:{(130,1),(135,1),(139,1),(165,1),(170,1)}
       152:{2,3,4,6}:{(131,1),(140,1),(163,1),(166,1),(174,1)}
       153:{2,4,5}:{(131,1),(132,1),(166,1)}
       154:{2,5,7}:{(133,1),(134,1),(167,1)}
       155:{1,3,5,6}:{(134,1),(135,1),(136,1),(165,1),(167,1)}
       156:{1,3,4,7}:{(137,1),(140,1),(144,1),(163,1),(168,1)}
       157:{1,2,4,5,7}:{(137,1),(138,1),(141,1),(142,1),(145,1),(164,1),(168,1),(169,1)}
       158:{1,4,6}:{(138,1),(139,1),(143,1)}
       159:{1,3,5}:{(140,1),(141,1),(147,1),(166,1)}
       160:{1,2,5,6}:{(142,1),(143,1),(148,1),(167,1),(169,1)}
       161:{2,3,5,7}:{(144,1),(145,1),(147,1),(168,1),(170,1)}
       162:{2,4,6}:{(145,1),(146,1),(148,1),(170,1)}
       163:{2,3,4,7}:{(149,1),(152,1),(156,1),(171,1)}
       164:{2,4,5,7}:{(149,1),(150,1),(153,1),(154,1),(171,1),(172,1)}
       165:{1,3,4,6}:{(150,1),(151,1),(155,1),(158,1),(172,1),(173,1)}
       166:{2,3,5}:{(152,1),(153,1),(159,1)}
       167:{2,5,6}:{(154,1),(155,1),(172,1)}
       168:{1,3,5,7}:{(156,1),(157,1),(159,1),(161,1),(171,1),(173,1)}
       169:{1,2,4,6}:{(157,1),(158,1),(160,1),(162,1),(172,1),(173,1)}
       170:{2,3,6}:{(161,1),(162,1),(173,1)}
       171:{2,3,5,7}:{(163,1),(164,1),(166,1),(168,1),(174,1)}
       172:{2,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       173:{1,3,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,3,6}:{(171,1),(172,1),(173,1)}

2992 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(30,1),(64,1),(93,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(45,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(93,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(20,1),(75,1),(101,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(20,1),(44,1),(78,1),(80,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(32,1),(66,1),(86,1),(95,1),(104,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(57,1),(93,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(20,1),(43,1)}
        13:{1,3,4,5,7}:{(8,1),(22,1),(23,1),(47,1),(75,1),(101,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(19,1),(23,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(24,1),(100,1),(101,1)}
        16:{1,3,4,5,6,7}:{(26,1),(41,1),(53,1)}
        17:{1,3,4,5,6}:{(11,1),(27,1),(28,1)}
        18:{1,2,4,5,6,7}:{(12,1),(29,1),(39,1),(57,1),(69,1),(89,1),(90,1),(102,1)}
        19:{2,3,5,6}:{(11,1),(14,1),(27,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(15,1),(32,1)}
        21:{1,2,3,4,7}:{(30,1),(33,1),(93,1)}
        22:{1,2,4,5,7}:{(13,1),(33,1),(34,1),(61,1),(63,1),(93,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(31,1),(34,1)}
        24:{2,3,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(57,1),(94,1),(95,1),(103,1),(104,1)}
        25:{2,3,4,5,6}:{(27,1),(36,1),(37,1),(87,1)}
        26:{2,4,5,6,7}:{(16,1),(38,1),(39,1),(57,1),(69,1)}
        27:{2,4,5,6}:{(17,1),(19,1),(42,1),(43,1)}
        28:{1,3,4,5,7}:{(17,1),(20,1),(41,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(41,1),(44,1),(100,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(48,1),(79,1)}
        31:{1,3,5,6}:{(19,1),(23,1),(42,1),(46,1),(47,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(24,1),(43,1),(47,1)}
        33:{1,2,3,5,7}:{(21,1),(22,1),(45,1),(48,1)}
        34:{1,2,4,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{1,3,4,6,7}:{(23,1),(24,1),(47,1),(49,1),(74,1),(100,1),(101,1)}
        36:{1,3,4,5,6}:{(25,1),(42,1),(51,1),(52,1),(76,1)}
        37:{2,3,4,5,7}:{(25,1),(43,1),(50,1),(52,1),(99,1)}
        38:{2,3,5,6,7}:{(26,1),(50,1),(53,1)}
        39:{1,4,5,6,7}:{(26,1),(53,1),(74,1)}
        40:{2,3,4,5,6}:{(27,1),(54,1),(55,1),(67,1)}
        41:{1,3,4,6,7}:{(28,1),(29,1),(57,1)}
        42:{1,4,5,6}:{(27,1),(31,1),(59,1)}
        43:{2,4,5,7}:{(27,1),(28,1),(32,1),(57,1),(59,1)}
        44:{2,3,5,6,7}:{(29,1),(32,1),(57,1),(60,1),(69,1),(94,1),(102,1),(103,1)}
        45:{1,2,3,5}:{(30,1),(61,1)}
        46:{1,2,5,6}:{(31,1),(34,1),(63,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(59,1),(63,1)}
        48:{1,2,3,6}:{(33,1),(34,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(63,1),(64,1),(93,1)}
        50:{2,3,4,6,7}:{(37,1),(38,1),(57,1),(65,1),(103,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(68,1)}
        52:{1,3,4,5,7}:{(36,1),(37,1),(59,1),(65,1),(68,1),(92,1)}
        53:{1,3,5,6,7}:{(38,1),(39,1),(65,1),(69,1)}
        54:{1,3,4,5,6}:{(40,1),(42,1),(71,1),(72,1),(76,1)}
        55:{2,3,4,5,7}:{(40,1),(43,1),(70,1),(72,1),(83,1)}
        56:{1,3,4,5,6,7}:{(41,1),(73,1),(96,1)}
        57:{2,4,6,7}:{(41,1),(43,1),(44,1),(74,1)}
        58:{1,2,4,5,6}:{(42,1),(46,1),(51,1),(71,1),(76,1),(77,1),(79,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(47,1),(74,1)}
        60:{1,3,5,6,7}:{(44,1),(47,1),(74,1),(78,1),(100,1)}
        61:{1,2,4,5}:{(45,1),(75,1),(79,1)}
        62:{1,2,3,5,6}:{(45,1),(46,1),(48,1),(76,1),(79,1),(80,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(49,1)}
        64:{1,2,3,6,7}:{(48,1),(49,1),(80,1),(100,1)}
        65:{1,3,4,6,7}:{(50,1),(52,1),(53,1),(74,1),(81,1),(100,1)}
        66:{2,3,4,5}:{(75,1),(82,1)}
        67:{2,3,5,6}:{(51,1),(76,1),(82,1),(83,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,5,6,7}:{(53,1),(81,1)}
        70:{2,3,4,6,7}:{(55,1),(57,1),(84,1),(85,1),(94,1)}
        71:{2,4,5,6}:{(54,1),(87,1),(88,1)}
        72:{1,3,4,5,7}:{(54,1),(55,1),(59,1),(85,1),(88,1),(92,1)}
        73:{2,4,5,6,7}:{(56,1),(57,1),(84,1),(89,1),(102,1)}
        74:{1,4,6,7}:{(57,1),(59,1),(60,1)}
        75:{1,3,4,5}:{(61,1),(66,1),(86,1),(91,1)}
        76:{1,3,5,6}:{(58,1),(67,1),(87,1),(91,1),(92,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(63,1),(68,1),(88,1),(90,1),(92,1),(93,1)}
        78:{1,2,5,6,7}:{(60,1),(63,1),(69,1),(90,1),(102,1)}
        79:{1,2,4,6}:{(61,1),(62,1),(91,1),(93,1)}
        80:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(92,1),(93,1)}
        81:{2,4,6,7}:{(65,1),(68,1),(69,1),(94,1)}
        82:{2,3,4,6}:{(66,1),(67,1),(91,1),(95,1)}
        83:{2,3,5,7}:{(67,1),(68,1),(92,1),(94,1),(95,1)}
        84:{2,3,5,6,7}:{(70,1),(73,1),(96,1)}
        85:{1,3,4,6,7}:{(70,1),(72,1),(74,1),(96,1),(97,1),(100,1)}
        86:{2,3,4,5}:{(75,1),(98,1)}
        87:{2,3,5,6}:{(71,1),(76,1),(98,1),(99,1)}
        88:{2,4,5,7}:{(71,1),(72,1),(97,1),(99,1)}
        89:{1,4,5,6,7}:{(73,1),(74,1),(96,1)}
        90:{1,2,4,6,7}:{(74,1),(77,1),(78,1),(81,1),(97,1),(100,1)}
        91:{1,3,4,6}:{(75,1),(76,1),(79,1),(82,1),(98,1),(101,1)}
        92:{1,3,5,7}:{(76,1),(77,1),(83,1),(99,1),(100,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(101,1)}
        94:{2,3,6,7}:{(81,1),(83,1),(100,1)}
        95:{2,3,4,7}:{(82,1),(83,1),(101,1)}
        96:{1,3,5,6,7}:{(84,1),(85,1),(89,1),(102,1)}
        97:{2,4,6,7}:{(85,1),(88,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(86,1),(87,1),(91,1),(104,1)}
        99:{2,3,5,7}:{(87,1),(88,1),(92,1),(103,1),(104,1)}
       100:{1,3,6,7}:{(90,1),(92,1),(94,1),(103,1)}
       101:{1,3,4,7}:{(91,1),(92,1),(93,1),(95,1),(104,1)}
       102:{2,5,6,7}:{(96,1),(97,1)}
       103:{2,3,6,7}:{(97,1),(99,1),(100,1)}
       104:{2,3,4,7}:{(98,1),(99,1),(101,1)}

2993 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(50,1),(78,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(37,1),(39,1)}
         7:{2,3,4,5}:{(12,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(39,1),(68,1),(73,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(90,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(54,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(54,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(31,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(24,1),(30,1),(31,1)}
        17:{2,4,5,6}:{(8,1),(30,1),(32,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(32,1),(33,1),(56,1),(82,1),(85,1)}
        19:{2,3,4,6,7}:{(9,1),(29,1),(33,1),(81,1),(98,1)}
        20:{2,3,4,5}:{(12,1),(35,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(34,1),(36,1),(40,1),(69,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(36,1),(37,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(38,1),(72,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(16,1),(35,1),(39,1),(40,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(37,1),(39,1),(41,1),(66,1),(68,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(40,1)}
        27:{3,4,5,6,7}:{(42,1),(102,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,5,6,7}:{(19,1),(42,1),(45,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1)}
        31:{2,3,4,7}:{(16,1),(40,1),(47,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1)}
        33:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(48,1),(72,1),(93,1),(95,1)}
        34:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(51,1),(79,1)}
        35:{2,3,4,6}:{(20,1),(24,1),(50,1),(51,1)}
        36:{1,3,4,6}:{(21,1),(22,1),(28,1),(49,1),(52,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(54,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(53,1),(54,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(30,1),(50,1),(56,1)}
        40:{1,3,4,7}:{(24,1),(26,1),(31,1),(51,1),(56,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(32,1),(54,1),(56,1),(57,1),(80,1),(82,1)}
        42:{2,4,5,6,7}:{(27,1),(29,1),(58,1),(98,1)}
        43:{2,3,5,6}:{(28,1),(52,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(31,1),(53,1),(60,1),(63,1),(87,1)}
        45:{1,3,5,6,7}:{(29,1),(33,1),(58,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(30,1),(55,1),(59,1),(62,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(32,1),(56,1),(63,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(34,1),(36,1),(64,1)}
        50:{2,3,5,6}:{(35,1),(39,1),(66,1),(67,1)}
        51:{2,3,4,7}:{(35,1),(40,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(43,1),(64,1),(68,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(38,1),(40,1),(44,1),(65,1),(69,1),(72,1),(93,1)}
        54:{1,2,5,7}:{(37,1),(38,1),(69,1)}
        55:{1,3,4,5,6}:{(39,1),(46,1),(66,1),(68,1),(71,1),(89,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(47,1),(67,1),(72,1)}
        57:{1,2,4,6,7}:{(41,1),(48,1),(70,1),(72,1),(92,1),(93,1)}
        58:{1,4,5,6,7}:{(42,1),(45,1),(74,1),(93,1)}
        59:{2,4,5,6}:{(43,1),(68,1),(73,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(69,1),(75,1)}
        61:{2,5,6,7}:{(45,1),(48,1)}
        62:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(75,1),(77,1)}
        63:{2,3,6,7}:{(47,1),(48,1),(72,1)}
        64:{2,3,5,6}:{(49,1),(52,1),(78,1),(79,1)}
        65:{2,3,4,6,7}:{(49,1),(51,1),(53,1),(79,1),(81,1),(98,1)}
        66:{2,4,5,6}:{(50,1),(55,1),(80,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(56,1),(80,1),(81,1)}
        68:{1,4,5,6}:{(52,1),(59,1),(78,1),(82,1)}
        69:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(79,1),(82,1)}
        70:{1,2,5,6,7}:{(54,1),(57,1),(61,1),(83,1),(99,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(62,1),(80,1),(82,1),(84,1),(97,1)}
        72:{1,3,6,7}:{(56,1),(57,1),(63,1),(81,1)}
        73:{3,4,5,6}:{(59,1),(85,1)}
        74:{2,4,5,6,7}:{(58,1),(61,1),(86,1),(87,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(82,1),(85,1),(87,1)}
        76:{2,3,5,6,7}:{(60,1),(61,1),(63,1),(83,1),(86,1),(87,1)}
        77:{2,3,4,6,7}:{(62,1),(63,1),(84,1),(87,1),(88,1)}
        78:{2,4,5,6}:{(64,1),(68,1),(89,1),(90,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(90,1)}
        80:{2,4,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        81:{2,3,6,7}:{(67,1),(72,1),(92,1)}
        82:{1,4,5,7}:{(68,1),(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(76,1),(91,1),(93,1)}
        84:{1,3,4,6,7}:{(71,1),(72,1),(77,1),(92,1),(93,1),(94,1),(102,1)}
        85:{3,4,5,7}:{(73,1),(75,1),(95,1)}
        86:{3,5,6,7}:{(74,1),(95,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(93,1),(95,1)}
        88:{2,3,5,6,7}:{(77,1),(94,1),(96,1)}
        89:{3,4,5,6}:{(78,1),(97,1)}
        90:{2,4,5,7}:{(78,1),(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(98,1),(99,1),(104,1)}
        92:{2,4,6,7}:{(80,1),(81,1),(84,1),(99,1)}
        93:{1,4,6,7}:{(82,1),(83,1),(87,1),(98,1)}
        94:{1,3,5,6,7}:{(84,1),(88,1),(99,1),(100,1),(104,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(87,1)}
        96:{2,4,5,6,7}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,5,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
        99:{2,5,6,7}:{(92,1),(94,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{3,4,6,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

2994 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

2995 :  0:{1,2,3,4,7}:{(1,1),(2,1),(7,1),(30,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(17,1)}
        2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1),(15,1),(40,1)}
        3:{1,2,3,5}:{(1,1),(8,1)}
        4:{1,2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(25,1),(30,1),(33,1),(55,1)}
        5:{1,2,3,6}:{(2,1),(11,1)}
        6:{2,3,4,5,7}:{(10,1),(13,1),(27,1),(35,1),(57,1)}
        7:{1,2,3,4}:{(15,1)}
        8:{1,2,4,5}:{(3,1),(16,1),(17,1)}
        9:{1,2,3,5,6}:{(3,1),(5,1),(17,1),(18,1),(20,1),(42,1)}
       10:{1,3,4,5,7}:{(4,1),(6,1),(14,1),(16,1),(19,1),(38,1),(43,1),(46,1),(69,1)}
       11:{1,2,4,6}:{(4,1),(5,1),(19,1),(20,1)}
       12:{1,2,3,6,7}:{(5,1),(18,1),(21,1),(40,1),(74,1)}
       13:{2,3,4,6}:{(6,1),(19,1),(22,1)}
       14:{2,3,4,5,7}:{(10,1),(24,1),(27,1),(52,1),(57,1)}
       15:{1,2,3,5}:{(7,1),(25,1),(26,1)}
       16:{1,3,4,5}:{(8,1),(27,1),(28,1)}
       17:{1,2,4,6}:{(8,1),(9,1),(28,1),(30,1)}
       18:{1,2,3,5,7}:{(9,1),(12,1),(30,1),(33,1),(59,1)}
       19:{1,3,4,6}:{(10,1),(11,1),(13,1),(24,1),(31,1)}
       20:{1,2,5,6}:{(11,1),(31,1),(33,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(30,1),(32,1),(33,1),(55,1),(82,1)}
       22:{2,3,5,6}:{(13,1),(31,1),(34,1),(35,1)}
       23:{2,3,4,6,7}:{(13,1),(32,1),(35,1),(57,1),(64,1),(84,1)}
       24:{2,3,4,6}:{(14,1),(19,1),(36,1)}
       25:{1,2,4,5}:{(15,1),(38,1),(39,1)}
       26:{1,2,3,6}:{(15,1),(39,1),(40,1)}
       27:{2,3,4,5}:{(16,1),(38,1),(41,1)}
       28:{1,3,4,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,2,4,5,6}:{(17,1),(20,1),(42,1),(44,1),(45,1),(71,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(43,1)}
       31:{1,3,5,6}:{(19,1),(20,1),(22,1),(36,1),(45,1),(46,1)}
       32:{1,3,4,6,7}:{(19,1),(21,1),(23,1),(37,1),(43,1),(46,1),(69,1),(74,1),(75,1),(91,1)}
       33:{1,2,5,7}:{(20,1),(21,1),(46,1)}
       34:{2,4,5,6}:{(22,1),(45,1),(48,1),(49,1)}
       35:{2,3,5,7}:{(22,1),(23,1),(46,1),(49,1)}
       36:{2,3,5,6}:{(24,1),(31,1),(51,1),(52,1)}
       37:{2,3,4,6,7}:{(24,1),(32,1),(52,1),(57,1),(79,1),(84,1)}
       38:{1,3,4,5}:{(25,1),(27,1),(53,1)}
       39:{1,2,4,6}:{(25,1),(26,1),(53,1),(54,1),(55,1)}
       40:{1,2,3,7}:{(26,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(28,1),(53,1),(56,1),(57,1)}
       42:{1,3,5,6}:{(28,1),(29,1),(56,1),(59,1)}
       43:{1,3,4,7}:{(28,1),(30,1),(57,1),(59,1)}
       44:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(59,1),(60,1),(61,1),(83,1)}
       45:{1,4,5,6}:{(31,1),(34,1),(51,1),(61,1)}
       46:{1,3,5,7}:{(31,1),(32,1),(33,1),(35,1),(52,1),(61,1)}
       47:{1,2,5,6,7}:{(33,1),(60,1),(62,1),(82,1),(96,1)}
       48:{3,4,5,6}:{(34,1),(63,1)}
       49:{2,4,5,7}:{(34,1),(35,1),(61,1),(63,1),(64,1)}
       50:{2,3,5,6,7}:{(35,1),(62,1),(64,1),(84,1),(87,1),(96,1)}
       51:{2,4,5,6}:{(36,1),(45,1),(65,1),(66,1)}
       52:{2,3,5,7}:{(36,1),(37,1),(46,1),(66,1)}
       53:{1,3,4,6}:{(38,1),(39,1),(41,1),(68,1),(69,1)}
       54:{1,2,5,6}:{(39,1),(68,1),(70,1)}
       55:{1,2,4,7}:{(39,1),(40,1),(69,1),(70,1)}
       56:{2,3,5,6}:{(41,1),(42,1),(68,1),(71,1),(72,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(69,1),(72,1)}
       58:{1,3,4,5,6}:{(42,1),(45,1),(48,1),(65,1),(71,1),(73,1)}
       59:{1,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1)}
       60:{1,2,4,6,7}:{(44,1),(47,1),(74,1),(75,1),(92,1)}
       61:{1,4,5,7}:{(45,1),(46,1),(49,1),(66,1),(75,1)}
       62:{1,3,5,6,7}:{(46,1),(47,1),(50,1),(67,1),(74,1),(75,1),(91,1),(97,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(76,1)}
       64:{2,4,6,7}:{(49,1),(50,1),(75,1),(76,1)}
       65:{3,4,5,6}:{(51,1),(78,1)}
       66:{2,4,5,7}:{(51,1),(52,1),(61,1),(78,1),(79,1)}
       67:{2,3,5,6,7}:{(52,1),(62,1),(79,1),(84,1),(94,1),(96,1)}
       68:{1,3,5,6}:{(53,1),(54,1),(56,1),(80,1),(81,1)}
       69:{1,3,4,7}:{(53,1),(55,1),(57,1),(81,1)}
       70:{1,2,5,7}:{(54,1),(55,1),(81,1),(82,1)}
       71:{2,4,5,6}:{(56,1),(58,1),(80,1),(83,1)}
       72:{2,3,5,7}:{(56,1),(57,1),(59,1),(81,1),(83,1),(84,1)}
       73:{1,3,4,5,7}:{(58,1),(59,1),(61,1),(63,1),(78,1),(83,1),(85,1)}
       74:{1,3,6,7}:{(59,1),(60,1),(84,1)}
       75:{1,4,6,7}:{(61,1),(62,1),(64,1),(79,1)}
       76:{3,4,6,7}:{(63,1),(64,1),(87,1)}
       77:{2,4,5,6,7}:{(64,1),(86,1),(87,1),(96,1)}
       78:{3,4,5,7}:{(65,1),(66,1),(88,1)}
       79:{2,4,6,7}:{(66,1),(67,1),(75,1),(88,1)}
       80:{1,4,5,6}:{(68,1),(71,1),(90,1)}
       81:{1,3,5,7}:{(68,1),(69,1),(70,1),(72,1),(90,1),(91,1)}
       82:{1,2,6,7}:{(70,1),(91,1)}
       83:{2,4,5,7}:{(71,1),(72,1),(73,1),(90,1),(92,1)}
       84:{2,3,6,7}:{(72,1),(74,1),(91,1),(92,1)}
       85:{1,3,4,6,7}:{(73,1),(74,1),(75,1),(76,1),(88,1),(92,1),(93,1)}
       86:{1,4,5,6,7}:{(75,1),(77,1),(89,1),(93,1),(97,1)}
       87:{3,5,6,7}:{(76,1),(77,1)}
       88:{3,4,6,7}:{(78,1),(79,1),(94,1)}
       89:{2,4,5,6,7}:{(79,1),(86,1),(94,1),(96,1)}
       90:{1,4,5,7}:{(80,1),(81,1),(83,1),(95,1)}
       91:{1,3,6,7}:{(81,1),(82,1),(84,1),(95,1)}
       92:{2,4,6,7}:{(83,1),(84,1),(85,1),(95,1),(96,1)}
       93:{1,3,5,6,7}:{(85,1),(86,1),(87,1),(94,1),(96,1)}
       94:{3,5,6,7}:{(88,1),(89,1)}
       95:{1,4,6,7}:{(90,1),(91,1),(92,1),(97,1)}
       96:{2,5,6,7}:{(92,1),(93,1),(97,1)}
       97:{1,5,6,7}:{(95,1),(96,1)}

2996 :  0:{1,2,3,4}:{(1,1)}
        1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
        2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,6}:{(1,1),(6,1),(7,1)}
        4:{2,3,4,5}:{(5,1),(8,1)}
        5:{1,3,4,5}:{(2,1),(4,1),(9,1),(10,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(10,1),(11,1),(12,1)}
        7:{1,2,3,7}:{(3,1),(12,1)}
        8:{2,3,4,6}:{(4,1),(10,1),(13,1),(14,1)}
        9:{2,3,4,5}:{(5,1),(16,1)}
       10:{1,3,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1),(18,1)}
       11:{1,2,5,6}:{(6,1),(17,1),(19,1)}
       12:{1,2,4,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{2,3,5,6}:{(8,1),(17,1),(20,1),(21,1)}
       14:{2,3,4,7}:{(8,1),(18,1),(21,1)}
       15:{3,4,5,6}:{(20,1),(22,1)}
       16:{2,3,4,6}:{(9,1),(10,1),(23,1),(24,1)}
       17:{1,3,5,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
       18:{1,3,4,7}:{(10,1),(12,1),(14,1),(24,1),(26,1)}
       19:{1,2,5,7}:{(11,1),(12,1),(26,1),(27,1)}
       20:{2,4,5,6}:{(13,1),(15,1),(25,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(26,1),(28,1),(29,1)}
       22:{3,4,5,7}:{(15,1),(28,1),(30,1)}
       23:{2,3,5,6}:{(16,1),(17,1),(32,1),(33,1)}
       24:{2,3,4,7}:{(16,1),(18,1),(33,1)}
       25:{1,4,5,6}:{(17,1),(20,1),(32,1),(34,1)}
       26:{1,3,5,7}:{(17,1),(18,1),(19,1),(21,1),(33,1),(34,1),(35,1)}
       27:{1,2,6,7}:{(19,1),(35,1)}
       28:{2,4,5,7}:{(20,1),(21,1),(22,1),(34,1),(36,1)}
       29:{2,3,6,7}:{(21,1),(35,1),(36,1)}
       30:{3,4,6,7}:{(22,1),(36,1),(37,1)}
       31:{4,5,6,7}:{(37,1)}
       32:{2,4,5,6}:{(23,1),(25,1),(38,1),(39,1)}
       33:{2,3,5,7}:{(23,1),(24,1),(26,1),(39,1),(40,1)}
       34:{1,4,5,7}:{(25,1),(26,1),(28,1),(39,1),(41,1)}
       35:{1,3,6,7}:{(26,1),(27,1),(29,1),(40,1),(41,1)}
       36:{2,4,6,7}:{(28,1),(29,1),(30,1),(41,1),(42,1)}
       37:{3,5,6,7}:{(30,1),(31,1),(42,1)}
       38:{3,4,5,6}:{(32,1),(43,1)}
       39:{2,4,5,7}:{(32,1),(33,1),(34,1),(43,1),(44,1)}
       40:{2,3,6,7}:{(33,1),(35,1),(44,1)}
       41:{1,4,6,7}:{(34,1),(35,1),(36,1),(44,1),(45,1)}
       42:{2,5,6,7}:{(36,1),(37,1),(45,1)}
       43:{3,4,5,7}:{(38,1),(39,1),(46,1)}
       44:{2,4,6,7}:{(39,1),(40,1),(41,1),(46,1),(47,1)}
       45:{1,5,6,7}:{(41,1),(42,1),(47,1)}
       46:{3,4,6,7}:{(43,1),(44,1),(48,1)}
       47:{2,5,6,7}:{(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1),(49,1)}
       49:{4,5,6,7}:{(48,1)}

2997 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(20,1),(108,1),(139,1),(146,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(29,1),(124,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(136,1),(146,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(10,1),(11,1),(29,1),(129,1),(145,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,2,3,5,6,7}:{(3,1),(12,1),(27,1),(29,1),(98,1),(132,1),(144,1)}
         7:{1,2,3,4,6,7}:{(13,1),(35,1),(44,1),(73,1),(88,1),(123,1)}
         8:{1,2,4,5,6,7}:{(15,1),(17,1),(39,1),(42,1),(81,1),(116,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(40,1)}
        10:{2,3,4,5,7}:{(4,1),(18,1),(19,1),(46,1),(117,1),(142,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(20,1),(42,1),(146,1)}
        13:{1,2,3,5,7}:{(7,1),(21,1),(22,1),(64,1),(90,1)}
        14:{1,3,4,5,6,7}:{(24,1),(26,1),(55,1),(59,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(132,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(28,1),(29,1)}
        17:{1,2,4,5,7}:{(9,1),(12,1),(29,1),(61,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(32,1),(66,1),(102,1),(135,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(28,1),(32,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(29,1),(33,1),(132,1),(145,1)}
        21:{1,2,4,5,7}:{(13,1),(34,1),(35,1),(85,1),(123,1)}
        22:{1,2,3,5,6}:{(13,1),(35,1),(69,1)}
        23:{1,2,4,5,6,7}:{(37,1),(39,1),(70,1),(76,1),(81,1),(84,1)}
        24:{2,4,5,6,7}:{(14,1),(38,1),(39,1),(42,1),(76,1),(81,1)}
        25:{1,3,4,5,6}:{(16,1),(40,1),(41,1)}
        26:{1,3,4,6,7}:{(15,1),(41,1),(42,1)}
        27:{2,3,5,6,7}:{(15,1),(42,1),(43,1),(46,1),(81,1),(120,1)}
        28:{2,3,5,6}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(46,1)}
        30:{1,2,3,4,7}:{(44,1),(47,1),(123,1)}
        31:{1,2,4,5,7}:{(18,1),(47,1),(48,1),(85,1),(87,1),(123,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(48,1)}
        33:{2,3,4,6,7}:{(19,1),(20,1),(42,1),(46,1),(49,1),(120,1),(142,1)}
        34:{1,3,4,5,7}:{(21,1),(51,1),(52,1),(90,1),(102,1),(135,1)}
        35:{1,2,4,6}:{(21,1),(22,1),(52,1)}
        36:{1,2,3,5,6,7}:{(22,1),(53,1),(56,1),(63,1),(90,1),(105,1),(107,1)}
        37:{1,3,5,6,7}:{(23,1),(55,1),(56,1),(90,1),(105,1)}
        38:{2,3,5,6,7}:{(24,1),(58,1),(59,1)}
        39:{1,4,5,6,7}:{(24,1),(59,1),(62,1),(97,1)}
        40:{2,4,5,6}:{(25,1),(28,1),(60,1),(61,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(29,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(61,1),(62,1)}
        43:{1,3,5,6,7}:{(27,1),(62,1),(63,1),(66,1),(105,1)}
        44:{1,2,3,4,6}:{(30,1),(64,1),(67,1),(106,1)}
        45:{1,3,5,6}:{(28,1),(32,1),(60,1),(65,1),(66,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(33,1),(61,1),(66,1)}
        47:{1,2,3,5,7}:{(30,1),(31,1),(64,1),(67,1)}
        48:{1,2,4,6}:{(31,1),(32,1),(65,1),(67,1)}
        49:{1,3,4,6,7}:{(32,1),(33,1),(62,1),(66,1),(68,1),(105,1),(135,1)}
        50:{1,2,4,5,6}:{(35,1),(69,1),(70,1),(74,1)}
        51:{2,3,4,5,7}:{(34,1),(71,1),(72,1),(110,1),(117,1),(142,1)}
        52:{1,3,4,6}:{(34,1),(35,1),(69,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(70,1),(73,1),(76,1),(123,1)}
        54:{1,3,4,5,6}:{(69,1),(74,1),(75,1)}
        55:{1,3,4,6,7}:{(37,1),(75,1),(76,1)}
        56:{2,3,5,6,7}:{(37,1),(76,1),(77,1),(81,1),(110,1),(120,1)}
        57:{2,3,4,5,6}:{(40,1),(74,1),(78,1),(79,1),(118,1)}
        58:{2,3,4,6,7}:{(38,1),(42,1),(76,1),(79,1),(80,1),(120,1)}
        59:{1,3,5,6,7}:{(38,1),(39,1),(80,1),(81,1)}
        60:{1,4,5,6}:{(40,1),(45,1),(83,1)}
        61:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(83,1)}
        62:{1,4,6,7}:{(42,1),(43,1),(83,1)}
        63:{1,2,5,6,7}:{(43,1),(81,1),(84,1),(87,1)}
        64:{1,2,3,5}:{(44,1),(85,1)}
        65:{1,2,5,6}:{(45,1),(48,1),(87,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(87,1)}
        67:{1,2,3,6}:{(47,1),(48,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(87,1),(88,1),(123,1)}
        69:{1,3,5,6}:{(50,1),(52,1),(89,1),(90,1)}
        70:{1,2,4,5,7}:{(50,1),(53,1),(90,1),(96,1)}
        71:{1,3,4,5,7}:{(51,1),(92,1),(93,1),(126,1),(129,1),(145,1)}
        72:{2,3,4,6}:{(51,1),(52,1),(89,1),(93,1)}
        73:{1,3,4,6,7}:{(52,1),(53,1),(90,1),(94,1),(105,1),(135,1)}
        74:{2,4,5,6}:{(54,1),(89,1),(95,1),(96,1)}
        75:{1,3,4,5,7}:{(54,1),(55,1),(90,1),(96,1)}
        76:{2,4,6,7}:{(55,1),(56,1),(96,1),(97,1)}
        77:{1,3,5,6,7}:{(56,1),(97,1),(98,1),(126,1),(132,1)}
        78:{1,3,4,5,6}:{(57,1),(60,1),(95,1),(99,1),(100,1),(103,1),(130,1)}
        79:{2,3,4,5,7}:{(57,1),(58,1),(61,1),(96,1),(100,1),(134,1)}
        80:{1,3,4,6,7}:{(58,1),(59,1),(62,1),(97,1),(100,1),(101,1),(105,1),(132,1)}
        81:{2,5,6,7}:{(59,1),(101,1)}
        82:{1,2,4,5,6}:{(60,1),(65,1),(99,1),(103,1),(104,1),(106,1)}
        83:{1,4,5,7}:{(60,1),(61,1),(62,1),(66,1)}
        84:{1,2,4,6,7}:{(62,1),(63,1),(101,1),(104,1),(105,1)}
        85:{1,2,4,5}:{(64,1),(102,1),(106,1)}
        86:{1,2,3,5,6}:{(64,1),(65,1),(67,1),(103,1),(106,1),(107,1)}
        87:{1,2,5,7}:{(65,1),(66,1),(68,1)}
        88:{1,2,3,6,7}:{(67,1),(68,1),(105,1),(107,1)}
        89:{2,3,5,6}:{(69,1),(72,1),(74,1),(109,1),(110,1)}
        90:{1,3,5,7}:{(69,1),(70,1),(73,1),(110,1)}
        91:{1,2,3,4,7}:{(108,1),(111,1),(146,1)}
        92:{1,2,4,5,7}:{(71,1),(111,1),(112,1),(136,1),(138,1),(146,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(109,1),(112,1)}
        94:{2,3,4,6,7}:{(72,1),(73,1),(76,1),(110,1),(113,1),(120,1),(142,1)}
        95:{1,4,5,6}:{(74,1),(109,1),(115,1)}
        96:{2,4,5,7}:{(74,1),(75,1),(76,1),(110,1),(115,1)}
        97:{1,4,6,7}:{(76,1),(77,1),(115,1)}
        98:{1,2,5,6,7}:{(77,1),(81,1),(116,1),(138,1)}
        99:{2,4,5,6}:{(78,1),(118,1),(119,1)}
       100:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(115,1),(119,1),(122,1),(141,1)}
       101:{2,4,6,7}:{(80,1),(81,1),(119,1),(120,1)}
       102:{1,3,4,5}:{(85,1),(117,1),(121,1)}
       103:{1,3,5,6}:{(82,1),(118,1),(121,1),(122,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(87,1),(119,1),(122,1),(123,1)}
       105:{1,3,6,7}:{(84,1),(120,1),(122,1)}
       106:{1,2,4,6}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,2,3,5,7}:{(86,1),(87,1),(88,1),(122,1),(123,1)}
       108:{1,2,3,4,6}:{(91,1),(124,1),(127,1),(143,1)}
       109:{1,3,5,6}:{(89,1),(93,1),(95,1),(125,1),(126,1)}
       110:{2,3,5,7}:{(89,1),(90,1),(94,1),(96,1),(126,1)}
       111:{1,2,3,5,7}:{(91,1),(92,1),(124,1),(127,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(125,1),(127,1)}
       113:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(126,1),(128,1),(132,1),(145,1)}
       114:{1,2,4,5,6}:{(95,1),(99,1),(125,1),(130,1),(131,1),(143,1)}
       115:{1,4,5,7}:{(95,1),(96,1),(97,1),(126,1)}
       116:{1,2,4,6,7}:{(97,1),(98,1),(101,1),(131,1),(132,1)}
       117:{2,3,4,5}:{(102,1),(129,1),(133,1)}
       118:{2,3,5,6}:{(99,1),(103,1),(130,1),(133,1),(134,1)}
       119:{2,4,5,7}:{(99,1),(100,1),(101,1),(134,1)}
       120:{2,3,6,7}:{(101,1),(105,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(102,1),(103,1),(106,1),(133,1),(135,1)}
       122:{1,3,5,7}:{(103,1),(104,1),(105,1),(134,1),(135,1)}
       123:{1,2,4,7}:{(106,1),(107,1),(135,1)}
       124:{1,2,3,5}:{(108,1),(136,1)}
       125:{1,2,5,6}:{(109,1),(112,1),(138,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(113,1),(115,1),(138,1)}
       127:{1,2,3,6}:{(111,1),(112,1)}
       128:{1,2,4,6,7}:{(112,1),(113,1),(138,1),(139,1),(146,1)}
       129:{1,3,4,5}:{(117,1),(136,1),(140,1)}
       130:{1,3,5,6}:{(114,1),(118,1),(140,1),(141,1)}
       131:{1,2,4,5,7}:{(114,1),(115,1),(116,1),(119,1),(138,1),(141,1),(146,1)}
       132:{1,3,6,7}:{(116,1),(120,1),(141,1)}
       133:{2,3,4,6}:{(117,1),(118,1),(121,1),(140,1),(142,1)}
       134:{2,3,5,7}:{(118,1),(119,1),(120,1),(122,1),(141,1),(142,1)}
       135:{1,3,4,7}:{(121,1),(122,1),(123,1),(142,1)}
       136:{1,2,4,5}:{(124,1),(129,1),(143,1)}
       137:{1,2,3,5,6}:{(124,1),(125,1),(127,1),(130,1),(143,1),(144,1)}
       138:{1,2,5,7}:{(125,1),(126,1),(128,1)}
       139:{1,2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(133,1),(143,1),(145,1)}
       141:{1,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(145,1)}
       142:{2,3,4,7}:{(133,1),(134,1),(135,1),(145,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,2,3,5,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{1,3,4,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,2,4,7}:{(143,1),(144,1),(145,1)}

2998 :   0:{1,2,3,4,6,7}:{(2,1),(10,1),(11,1),(119,1),(137,1),(144,1)}
         1:{1,2,3,5,6,7}:{(4,1),(5,1),(16,1),(18,1),(74,1),(108,1),(129,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(146,1)}
         3:{1,2,4,5,6,7}:{(8,1),(9,1),(25,1),(27,1),(57,1),(92,1)}
         4:{1,2,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(27,1),(137,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(29,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(137,1),(145,1)}
         7:{1,3,4,5,6,7}:{(14,1),(15,1),(36,1),(39,1)}
         8:{1,3,5,6,7}:{(3,1),(15,1),(16,1),(18,1),(108,1)}
         9:{1,2,4,5,7}:{(4,1),(17,1),(18,1),(41,1)}
        10:{1,3,4,6,7}:{(4,1),(18,1),(19,1),(20,1),(108,1),(131,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(20,1)}
        12:{1,3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(131,1),(143,1)}
        13:{1,2,4,5,6,7}:{(23,1),(25,1),(50,1),(53,1),(57,1),(60,1)}
        14:{2,4,5,6,7}:{(7,1),(24,1),(25,1),(27,1),(53,1),(57,1)}
        15:{1,3,4,6,7}:{(8,1),(26,1),(27,1)}
        16:{2,3,5,6,7}:{(8,1),(27,1),(28,1),(30,1),(57,1),(95,1)}
        17:{1,2,4,5,6}:{(9,1),(11,1),(29,1),(58,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(29,1),(30,1)}
        19:{2,3,4,6,7}:{(10,1),(27,1),(30,1),(31,1),(32,1),(95,1),(123,1)}
        20:{1,3,4,6}:{(11,1),(12,1),(29,1),(32,1)}
        21:{2,3,4,5,7}:{(12,1),(30,1),(32,1),(33,1),(123,1),(139,1)}
        22:{1,2,3,5,6,7}:{(35,1),(37,1),(43,1),(66,1),(69,1),(80,1),(82,1)}
        23:{1,3,5,6,7}:{(13,1),(36,1),(37,1),(69,1),(80,1)}
        24:{2,3,5,6,7}:{(14,1),(38,1),(39,1)}
        25:{1,4,5,6,7}:{(14,1),(39,1),(42,1),(73,1)}
        26:{1,3,4,5,7}:{(15,1),(18,1),(40,1),(41,1)}
        27:{2,4,6,7}:{(15,1),(16,1),(41,1),(42,1)}
        28:{1,3,5,6,7}:{(16,1),(42,1),(43,1),(45,1),(80,1)}
        29:{1,3,5,6}:{(17,1),(18,1),(20,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(19,1),(41,1),(44,1),(45,1)}
        31:{1,3,4,6,7}:{(19,1),(42,1),(45,1),(46,1),(47,1),(80,1),(112,1)}
        32:{2,3,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        33:{1,3,4,5,7}:{(21,1),(45,1),(47,1),(48,1),(112,1),(133,1)}
        34:{1,2,3,4,6,7}:{(49,1),(51,1),(63,1),(85,1),(99,1),(100,1)}
        35:{1,2,4,6,7}:{(22,1),(50,1),(51,1),(53,1),(85,1),(99,1)}
        36:{1,3,4,6,7}:{(23,1),(52,1),(53,1)}
        37:{2,3,5,6,7}:{(23,1),(53,1),(54,1),(57,1),(88,1),(95,1)}
        38:{2,3,4,6,7}:{(24,1),(27,1),(53,1),(55,1),(56,1),(95,1)}
        39:{1,3,5,6,7}:{(24,1),(25,1),(56,1),(57,1)}
        40:{1,3,4,5,6}:{(26,1),(29,1),(58,1)}
        41:{2,4,5,7}:{(26,1),(27,1),(30,1),(58,1),(59,1)}
        42:{1,4,6,7}:{(27,1),(28,1),(59,1)}
        43:{1,2,5,6,7}:{(28,1),(57,1),(60,1),(62,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(32,1),(58,1),(61,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(59,1),(61,1),(62,1)}
        46:{1,2,4,6,7}:{(31,1),(62,1),(63,1),(64,1),(99,1)}
        47:{1,3,4,6}:{(32,1),(33,1),(61,1),(64,1)}
        48:{1,2,4,5,7}:{(33,1),(62,1),(64,1),(65,1),(99,1),(125,1)}
        49:{1,2,3,5,7}:{(34,1),(66,1),(67,1),(69,1),(114,1)}
        50:{1,2,4,5,7}:{(35,1),(68,1),(69,1),(72,1)}
        51:{1,3,4,6,7}:{(35,1),(69,1),(70,1),(80,1),(101,1),(112,1)}
        52:{1,3,4,5,7}:{(36,1),(69,1),(71,1),(72,1)}
        53:{2,4,6,7}:{(36,1),(37,1),(72,1),(73,1)}
        54:{1,3,5,6,7}:{(37,1),(73,1),(74,1),(104,1),(108,1)}
        55:{2,3,4,5,7}:{(38,1),(41,1),(72,1),(75,1),(76,1),(110,1)}
        56:{1,3,4,6,7}:{(38,1),(39,1),(42,1),(73,1),(76,1),(77,1),(80,1),(108,1)}
        57:{2,5,6,7}:{(39,1),(77,1)}
        58:{2,4,5,6}:{(40,1),(41,1),(44,1),(78,1)}
        59:{1,4,5,7}:{(41,1),(42,1),(45,1),(78,1)}
        60:{1,2,4,6,7}:{(42,1),(43,1),(77,1),(79,1),(80,1)}
        61:{1,3,5,6}:{(44,1),(45,1),(47,1),(78,1),(81,1)}
        62:{1,2,5,7}:{(45,1),(46,1),(81,1)}
        63:{1,2,3,6,7}:{(46,1),(80,1),(82,1),(83,1)}
        64:{1,2,4,6}:{(47,1),(48,1),(81,1),(83,1)}
        65:{1,2,3,5,7}:{(48,1),(83,1),(84,1),(114,1)}
        66:{1,2,3,5,6}:{(49,1),(85,1),(87,1)}
        67:{1,2,4,5,7}:{(49,1),(85,1),(86,1),(99,1),(125,1)}
        68:{1,2,4,5,6}:{(50,1),(85,1),(87,1),(90,1)}
        69:{1,3,5,7}:{(50,1),(51,1),(87,1),(88,1)}
        70:{2,3,4,6,7}:{(51,1),(53,1),(88,1),(89,1),(95,1),(115,1),(123,1)}
        71:{1,3,4,5,6}:{(52,1),(87,1),(90,1)}
        72:{2,4,5,7}:{(52,1),(53,1),(88,1),(90,1),(91,1)}
        73:{1,4,6,7}:{(53,1),(54,1),(91,1)}
        74:{1,2,5,6,7}:{(54,1),(57,1),(92,1),(118,1)}
        75:{2,3,4,5,6}:{(55,1),(58,1),(90,1),(93,1),(122,1)}
        76:{1,3,4,5,7}:{(55,1),(56,1),(59,1),(91,1),(93,1),(94,1),(97,1),(121,1)}
        77:{2,4,6,7}:{(56,1),(57,1),(94,1),(95,1)}
        78:{1,4,5,6}:{(58,1),(59,1),(61,1)}
        79:{1,2,4,5,7}:{(59,1),(60,1),(62,1),(94,1),(96,1),(97,1),(99,1)}
        80:{1,3,6,7}:{(60,1),(95,1),(97,1)}
        81:{1,2,5,6}:{(61,1),(62,1),(64,1)}
        82:{1,2,3,5,7}:{(62,1),(63,1),(97,1),(98,1),(99,1)}
        83:{1,2,3,6}:{(64,1),(65,1)}
        84:{1,2,3,4,7}:{(65,1),(99,1),(100,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(101,1)}
        86:{1,3,4,5,7}:{(67,1),(69,1),(101,1),(102,1),(112,1),(133,1)}
        87:{1,3,5,6}:{(68,1),(69,1),(101,1),(103,1)}
        88:{2,3,5,7}:{(69,1),(70,1),(72,1),(103,1),(104,1)}
        89:{1,3,4,6,7}:{(70,1),(73,1),(104,1),(105,1),(108,1),(126,1),(131,1)}
        90:{2,4,5,6}:{(71,1),(72,1),(103,1),(106,1)}
        91:{1,4,5,7}:{(72,1),(73,1),(104,1),(106,1)}
        92:{1,2,4,6,7}:{(73,1),(74,1),(77,1),(107,1),(108,1)}
        93:{1,3,4,5,6}:{(75,1),(76,1),(78,1),(106,1),(109,1),(111,1),(130,1)}
        94:{2,4,5,7}:{(76,1),(77,1),(109,1),(110,1)}
        95:{2,3,6,7}:{(77,1),(80,1),(108,1),(110,1)}
        96:{1,2,4,5,6}:{(78,1),(79,1),(81,1),(109,1),(111,1),(113,1)}
        97:{1,3,5,7}:{(79,1),(80,1),(110,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(81,1),(82,1),(83,1),(111,1),(113,1),(114,1)}
        99:{1,2,4,7}:{(82,1),(112,1),(113,1)}
       100:{1,2,3,4,6}:{(83,1),(84,1),(113,1),(114,1)}
       101:{1,3,4,6}:{(85,1),(86,1),(87,1),(115,1)}
       102:{2,3,4,5,7}:{(86,1),(88,1),(115,1),(116,1),(123,1),(139,1)}
       103:{2,3,5,6}:{(87,1),(88,1),(90,1),(115,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(89,1),(91,1),(117,1),(118,1)}
       105:{1,2,4,6,7}:{(89,1),(118,1),(119,1),(134,1),(137,1)}
       106:{1,4,5,6}:{(90,1),(91,1),(117,1)}
       107:{1,2,4,5,7}:{(91,1),(92,1),(94,1),(118,1),(120,1),(121,1),(137,1)}
       108:{1,3,6,7}:{(92,1),(95,1),(121,1)}
       109:{2,4,5,6}:{(93,1),(94,1),(122,1)}
       110:{2,3,5,7}:{(94,1),(95,1),(97,1),(121,1),(122,1),(123,1)}
       111:{1,3,5,6}:{(96,1),(97,1),(122,1),(124,1)}
       112:{1,3,4,7}:{(97,1),(99,1),(123,1),(124,1)}
       113:{1,2,4,6}:{(98,1),(99,1),(124,1),(125,1)}
       114:{1,2,3,5}:{(100,1),(125,1)}
       115:{2,3,4,6}:{(101,1),(102,1),(103,1),(126,1)}
       116:{1,3,4,5,7}:{(102,1),(104,1),(126,1),(127,1),(131,1),(143,1)}
       117:{1,3,5,6}:{(103,1),(104,1),(106,1),(126,1),(128,1)}
       118:{1,2,5,7}:{(104,1),(105,1),(128,1)}
       119:{1,2,3,6,7}:{(105,1),(108,1),(129,1),(140,1)}
       120:{1,2,4,5,6}:{(106,1),(107,1),(109,1),(128,1),(130,1),(142,1)}
       121:{1,3,5,7}:{(107,1),(108,1),(110,1),(130,1),(131,1)}
       122:{2,3,5,6}:{(109,1),(110,1),(111,1),(130,1),(132,1)}
       123:{2,3,4,7}:{(110,1),(112,1),(131,1),(132,1)}
       124:{1,3,4,6}:{(111,1),(112,1),(113,1),(132,1),(133,1)}
       125:{1,2,4,5}:{(113,1),(114,1),(133,1)}
       126:{1,3,4,6}:{(115,1),(116,1),(117,1),(134,1)}
       127:{1,2,4,5,7}:{(116,1),(118,1),(134,1),(135,1),(137,1),(145,1)}
       128:{1,2,5,6}:{(117,1),(118,1),(134,1)}
       129:{1,2,3,5,7}:{(118,1),(119,1),(121,1),(136,1),(137,1)}
       130:{1,3,5,6}:{(120,1),(121,1),(122,1),(138,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(137,1),(138,1)}
       132:{2,3,4,6}:{(122,1),(123,1),(124,1),(138,1),(139,1)}
       133:{1,3,4,5}:{(124,1),(125,1),(139,1)}
       134:{1,2,4,6}:{(126,1),(127,1),(128,1),(140,1)}
       135:{1,2,3,5,7}:{(127,1),(140,1),(141,1),(146,1)}
       136:{1,2,3,5,6}:{(128,1),(129,1),(130,1),(140,1),(142,1),(146,1)}
       137:{1,2,4,7}:{(129,1),(131,1),(142,1)}
       138:{1,3,4,6}:{(130,1),(131,1),(132,1),(142,1),(143,1)}
       139:{2,3,4,5}:{(132,1),(133,1),(143,1)}
       140:{1,2,3,6}:{(134,1),(135,1)}
       141:{1,2,3,4,7}:{(135,1),(137,1),(144,1)}
       142:{1,2,4,6}:{(136,1),(137,1),(138,1),(145,1)}
       143:{1,3,4,5}:{(138,1),(139,1),(145,1)}
       144:{1,2,3,4,6}:{(140,1),(141,1),(142,1),(146,1)}
       145:{1,2,4,5}:{(142,1),(143,1),(146,1)}
       146:{1,2,3,5}:{(144,1),(145,1)}

2999 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

3000 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1),(8,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,6,7}:{(5,1),(11,1)}
        9:{2,3,4,5,6}:{(6,1),(13,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(15,1),(16,1)}
       12:{1,2,3,4,5}:{(17,1)}
       13:{1,3,4,5,6}:{(9,1),(18,1),(19,1)}
       14:{2,3,4,5,7}:{(9,1),(10,1),(19,1),(20,1)}
       15:{1,3,4,6,7}:{(10,1),(11,1),(20,1),(21,1)}
       16:{1,2,5,6,7}:{(11,1),(21,1)}
       17:{1,2,3,4,6}:{(12,1),(22,1),(23,1)}
       18:{1,2,4,5,6}:{(13,1),(22,1),(24,1)}
       19:{1,3,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{2,3,4,6,7}:{(14,1),(15,1),(25,1),(26,1)}
       21:{1,3,5,6,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(18,1),(28,1)}
       23:{1,2,3,4,7}:{(17,1),(28,1)}
       24:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,3,4,6,7}:{(19,1),(20,1),(29,1),(30,1)}
       26:{2,3,5,6,7}:{(20,1),(21,1),(30,1),(31,1)}
       27:{1,4,5,6,7}:{(21,1),(31,1)}
       28:{1,2,3,5,7}:{(22,1),(23,1),(24,1),(32,1)}
       29:{1,2,4,6,7}:{(24,1),(25,1),(32,1),(33,1)}
       30:{1,3,5,6,7}:{(25,1),(26,1),(33,1),(34,1)}
       31:{2,4,5,6,7}:{(26,1),(27,1),(34,1),(35,1)}
       32:{1,2,3,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(30,1)}
       34:{1,4,5,6,7}:{(30,1),(31,1)}
       35:{3,4,5,6,7}:{(31,1)}

3001 :   0:{1,2,3,5,6,7}:{(2,1),(9,1),(13,1),(25,1),(53,1),(54,1),(75,1),(76,1),(90,1),(91,1)}
         1:{1,2,4,5,6,7}:{(3,1),(8,1),(12,1),(31,1),(51,1),(53,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(21,1),(34,1),(41,1),(80,1),(87,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(7,1),(15,1),(40,1),(64,1)}
         4:{1,2,4,5,7}:{(2,1),(8,1),(9,1),(24,1),(31,1),(53,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(23,1),(91,1),(92,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(23,1)}
         7:{2,3,5,6,7}:{(3,1),(12,1),(13,1),(25,1),(28,1),(53,1),(54,1)}
         8:{1,2,4,5,6}:{(4,1),(15,1),(34,1),(42,1),(65,1),(80,1)}
         9:{1,3,5,7}:{(4,1),(5,1),(15,1),(16,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(34,1),(41,1),(82,1),(83,1)}
        11:{1,3,4,5,7}:{(6,1),(19,1),(20,1),(40,1),(68,1)}
        12:{2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(34,1)}
        13:{1,3,5,6,7}:{(7,1),(21,1),(22,1),(36,1),(40,1),(44,1)}
        14:{1,3,4,5,7}:{(9,1),(23,1),(24,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(23,1),(25,1),(91,1)}
        16:{2,3,5,7}:{(9,1),(10,1),(24,1),(25,1),(26,1),(53,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(27,1),(47,1),(72,1),(73,1)}
        18:{2,3,4,6,7}:{(12,1),(28,1),(29,1),(45,1),(54,1),(78,1)}
        19:{1,3,4,5,6}:{(11,1),(23,1),(30,1),(52,1),(79,1)}
        20:{2,4,5,7}:{(11,1),(12,1),(28,1),(30,1),(31,1),(53,1),(78,1)}
        21:{1,4,6,7}:{(12,1),(13,1),(31,1),(47,1)}
        22:{1,2,5,6,7}:{(13,1),(32,1),(49,1),(53,1)}
        23:{1,3,4,6}:{(14,1),(15,1),(34,1)}
        24:{2,4,5,7}:{(14,1),(16,1),(34,1),(35,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(34,1),(36,1),(65,1),(82,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(35,1),(36,1),(37,1)}
        27:{1,2,4,6,7}:{(17,1),(37,1),(38,1),(41,1),(59,1),(62,1)}
        28:{2,3,5,7}:{(18,1),(20,1),(39,1),(40,1)}
        29:{1,3,4,6,7}:{(18,1),(21,1),(40,1),(41,1),(44,1),(57,1),(64,1),(68,1),(87,1)}
        30:{2,4,5,6}:{(19,1),(20,1),(34,1),(39,1),(42,1),(65,1),(88,1)}
        31:{1,4,5,7}:{(20,1),(21,1),(40,1),(42,1),(87,1)}
        32:{1,2,4,6,7}:{(21,1),(22,1),(41,1),(43,1),(44,1),(59,1)}
        33:{2,3,4,5,7}:{(24,1),(28,1),(45,1),(46,1),(71,1),(78,1),(96,1)}
        34:{2,4,6}:{(23,1),(24,1),(25,1),(47,1)}
        35:{1,4,5,7}:{(24,1),(26,1),(47,1)}
        36:{1,3,5,6}:{(25,1),(26,1),(47,1),(49,1),(72,1)}
        37:{1,2,5,7}:{(26,1),(27,1),(49,1),(53,1)}
        38:{1,2,3,6,7}:{(27,1),(50,1),(54,1),(72,1)}
        39:{2,3,5,6}:{(28,1),(30,1),(45,1),(52,1)}
        40:{1,3,5,7}:{(28,1),(29,1),(31,1),(52,1),(53,1)}
        41:{2,4,6,7}:{(29,1),(53,1),(54,1),(70,1),(78,1)}
        42:{1,4,5,6}:{(30,1),(31,1),(47,1),(52,1),(95,1)}
        43:{1,2,4,5,7}:{(31,1),(32,1),(53,1),(55,1),(56,1),(78,1)}
        44:{1,3,6,7}:{(32,1),(54,1),(56,1),(72,1)}
        45:{2,3,4,6}:{(33,1),(34,1),(39,1),(57,1),(82,1),(88,1)}
        46:{1,3,4,5,7}:{(33,1),(35,1),(40,1),(57,1),(58,1),(60,1),(68,1),(81,1),(87,1),(89,1),(101,1)}
        47:{1,4,6}:{(34,1),(35,1),(36,1)}
        48:{1,2,4,5,7}:{(35,1),(37,1),(58,1),(59,1),(60,1),(62,1),(85,1)}
        49:{1,2,5,6}:{(36,1),(37,1),(59,1),(65,1)}
        50:{1,2,3,5,7}:{(37,1),(38,1),(60,1),(61,1),(62,1),(66,1)}
        51:{1,2,4,6,7}:{(41,1),(63,1),(64,1),(80,1),(87,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(42,1),(57,1),(65,1)}
        53:{2,5,7}:{(40,1),(41,1),(65,1)}
        54:{2,3,6,7}:{(41,1),(44,1),(64,1),(66,1),(82,1)}
        55:{1,2,4,5,6}:{(42,1),(43,1),(59,1),(65,1),(67,1),(85,1),(88,1)}
        56:{1,3,5,7}:{(43,1),(44,1),(66,1),(67,1),(68,1)}
        57:{1,3,4,6}:{(45,1),(46,1),(47,1),(52,1),(70,1),(72,1),(91,1),(95,1)}
        58:{2,4,5,7}:{(46,1),(53,1),(70,1),(71,1),(78,1),(96,1)}
        59:{1,2,4,6}:{(47,1),(48,1),(49,1),(70,1),(72,1)}
        60:{1,3,5,7}:{(48,1),(71,1),(72,1),(73,1),(94,1)}
        61:{1,2,3,5,6}:{(49,1),(50,1),(72,1),(74,1),(77,1),(94,1)}
        62:{1,2,4,7}:{(50,1),(73,1),(74,1),(78,1)}
        63:{1,2,5,7}:{(51,1),(53,1),(75,1),(76,1)}
        64:{1,3,6,7}:{(51,1),(54,1),(76,1),(91,1)}
        65:{2,5,6}:{(52,1),(53,1),(70,1)}
        66:{2,3,5,7}:{(53,1),(54,1),(56,1),(76,1),(77,1),(78,1)}
        67:{1,3,5,6}:{(55,1),(56,1),(72,1),(77,1),(79,1),(94,1)}
        68:{1,3,4,7}:{(56,1),(78,1),(79,1)}
        69:{1,2,4,5,7}:{(58,1),(63,1),(80,1),(81,1),(87,1),(98,1),(101,1),(104,1)}
        70:{2,4,6}:{(57,1),(58,1),(65,1),(82,1)}
        71:{2,3,5,7}:{(58,1),(60,1),(81,1),(82,1),(83,1),(100,1)}
        72:{1,3,6}:{(59,1),(60,1),(82,1)}
        73:{1,3,4,7}:{(60,1),(62,1),(83,1),(84,1)}
        74:{1,2,4,6}:{(61,1),(62,1),(84,1),(85,1),(88,1)}
        75:{1,2,5,6}:{(63,1),(65,1),(80,1),(86,1),(104,1)}
        76:{1,3,5,7}:{(63,1),(64,1),(66,1),(86,1),(87,1)}
        77:{2,3,5,6}:{(65,1),(66,1),(67,1),(82,1),(86,1),(88,1),(100,1)}
        78:{2,4,7}:{(66,1),(68,1),(87,1),(88,1)}
        79:{1,3,4,6}:{(67,1),(68,1),(88,1),(89,1)}
        80:{1,2,4,6}:{(69,1),(70,1),(75,1),(91,1),(95,1)}
        81:{1,3,5,7}:{(69,1),(71,1),(91,1),(92,1),(103,1)}
        82:{2,3,6}:{(70,1),(71,1),(72,1),(91,1)}
        83:{2,3,4,7}:{(71,1),(73,1),(78,1),(92,1),(93,1)}
        84:{1,3,4,6}:{(72,1),(73,1),(74,1),(93,1),(94,1)}
        85:{1,2,4,5}:{(74,1),(94,1),(96,1)}
        86:{1,3,5,6}:{(75,1),(76,1),(77,1),(91,1),(95,1),(103,1)}
        87:{1,4,7}:{(76,1),(78,1),(95,1)}
        88:{2,4,6}:{(77,1),(78,1),(79,1),(95,1),(96,1)}
        89:{1,3,4,5}:{(79,1),(94,1),(96,1)}
        90:{1,2,3,5,7}:{(81,1),(97,1),(98,1),(104,1)}
        91:{1,3,6}:{(80,1),(81,1),(82,1)}
        92:{1,3,4,7}:{(81,1),(83,1),(87,1),(98,1),(99,1)}
        93:{2,3,4,6}:{(82,1),(83,1),(84,1),(88,1),(99,1),(100,1)}
        94:{1,3,5}:{(84,1),(85,1),(100,1)}
        95:{1,4,6}:{(86,1),(87,1),(88,1),(101,1)}
        96:{2,4,5}:{(88,1),(89,1),(100,1),(101,1)}
        97:{1,2,3,6}:{(90,1),(91,1),(102,1)}
        98:{1,2,4,7}:{(90,1),(92,1),(102,1)}
        99:{1,3,4,6}:{(91,1),(92,1),(93,1),(95,1),(102,1),(103,1)}
       100:{2,3,5}:{(93,1),(94,1),(96,1),(103,1)}
       101:{1,4,5}:{(95,1),(96,1),(103,1)}
       102:{1,2,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1),(101,1),(104,1)}
       104:{1,2,5}:{(102,1),(103,1)}

3002 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(18,1),(33,1),(82,1),(112,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(49,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(68,1),(112,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(17,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(28,1),(89,1),(128,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(28,1),(60,1),(91,1),(135,1),(145,1)}
         7:{1,2,3,4,7}:{(13,1),(14,1),(75,1)}
         8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(42,1),(70,1),(114,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(16,1),(17,1)}
        10:{1,2,4,5,6}:{(5,1),(17,1),(19,1),(36,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(18,1),(19,1),(77,1),(112,1)}
        12:{1,2,3,4,6,7}:{(13,1),(20,1),(39,1),(46,1),(75,1),(86,1)}
        13:{1,2,3,4,6}:{(7,1),(21,1),(24,1),(52,1)}
        14:{1,2,3,5,7}:{(7,1),(21,1),(23,1),(24,1)}
        15:{1,3,4,5,7}:{(8,1),(23,1),(25,1),(51,1),(59,1),(97,1)}
        16:{2,3,4,6}:{(8,1),(9,1),(25,1),(26,1)}
        17:{1,3,5,6}:{(9,1),(10,1),(26,1),(28,1)}
        18:{1,3,4,6,7}:{(9,1),(11,1),(27,1),(28,1),(128,1),(145,1)}
        19:{1,2,4,5,7}:{(10,1),(11,1),(28,1),(55,1)}
        20:{1,2,3,5,7}:{(12,1),(21,1),(31,1),(32,1),(108,1)}
        21:{1,2,3,5}:{(13,1),(34,1)}
        22:{1,3,4,5,6}:{(17,1),(36,1),(37,1)}
        23:{1,2,4,5,7}:{(14,1),(15,1),(34,1),(38,1),(75,1),(78,1)}
        24:{1,2,3,6}:{(14,1),(38,1)}
        25:{1,3,4,6}:{(15,1),(16,1),(38,1),(40,1)}
        26:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1)}
        27:{2,3,4,6,7}:{(16,1),(18,1),(41,1),(42,1),(77,1),(114,1),(141,1)}
        28:{1,3,5,7}:{(17,1),(18,1),(19,1),(42,1)}
        29:{1,2,4,5,6,7}:{(19,1),(43,1),(77,1),(88,1),(124,1),(140,1)}
        30:{1,2,3,4,7}:{(33,1),(44,1),(112,1)}
        31:{1,2,4,5,7}:{(20,1),(34,1),(45,1),(46,1),(75,1)}
        32:{1,2,3,5,6}:{(20,1),(46,1),(85,1)}
        33:{1,2,3,4,6}:{(30,1),(49,1),(62,1),(90,1)}
        34:{1,2,4,5}:{(21,1),(51,1),(52,1)}
        35:{1,2,3,5,6}:{(21,1),(24,1),(52,1),(53,1),(57,1),(96,1)}
        36:{2,4,5,6}:{(22,1),(26,1),(54,1),(55,1)}
        37:{1,3,4,5,7}:{(22,1),(28,1),(55,1),(56,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(25,1),(57,1)}
        39:{1,2,3,6,7}:{(24,1),(53,1),(58,1),(132,1)}
        40:{1,3,5,6}:{(25,1),(26,1),(54,1),(57,1),(59,1)}
        41:{1,3,4,6,7}:{(25,1),(27,1),(58,1),(59,1),(97,1),(99,1),(132,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(55,1),(59,1)}
        43:{1,3,5,6,7}:{(28,1),(29,1),(56,1),(60,1),(145,1)}
        44:{1,2,3,5,7}:{(30,1),(49,1),(61,1),(62,1)}
        45:{1,3,4,5,7}:{(31,1),(51,1),(63,1),(64,1),(97,1),(108,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(64,1)}
        47:{1,2,3,5,6,7}:{(32,1),(53,1),(66,1),(100,1),(108,1),(132,1),(137,1)}
        48:{1,3,4,5,6,7}:{(56,1),(67,1),(106,1),(138,1)}
        49:{1,2,3,5}:{(33,1),(68,1)}
        50:{2,3,4,5,6}:{(36,1),(71,1),(72,1),(113,1),(122,1)}
        51:{1,3,4,5}:{(34,1),(70,1),(73,1)}
        52:{1,2,4,6}:{(34,1),(35,1),(73,1),(75,1)}
        53:{1,2,3,5,7}:{(35,1),(39,1),(75,1),(78,1),(117,1)}
        54:{1,4,5,6}:{(36,1),(40,1),(76,1)}
        55:{2,4,5,7}:{(36,1),(37,1),(42,1),(76,1),(77,1)}
        56:{1,3,4,6,7}:{(37,1),(43,1),(77,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(78,1)}
        58:{1,2,4,6,7}:{(38,1),(39,1),(41,1),(75,1),(78,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(42,1),(76,1),(78,1)}
        60:{2,3,5,6,7}:{(42,1),(43,1),(77,1),(79,1),(124,1),(141,1)}
        61:{1,2,4,5,7}:{(44,1),(68,1),(80,1),(81,1),(112,1),(121,1)}
        62:{1,2,3,6}:{(44,1),(81,1)}
        63:{2,3,4,5,7}:{(45,1),(70,1),(80,1),(83,1),(114,1),(123,1)}
        64:{1,3,4,6}:{(45,1),(46,1),(83,1),(85,1)}
        65:{1,2,4,5,6}:{(46,1),(85,1),(87,1),(122,1)}
        66:{1,2,4,6,7}:{(46,1),(47,1),(75,1),(86,1),(87,1),(144,1)}
        67:{2,4,5,6,7}:{(48,1),(77,1),(84,1),(88,1),(124,1),(144,1)}
        68:{1,2,4,5}:{(49,1),(89,1),(90,1)}
        69:{1,2,3,5,6}:{(49,1),(62,1),(90,1),(91,1),(102,1),(127,1)}
        70:{2,3,4,5}:{(51,1),(89,1),(92,1)}
        71:{1,3,4,5,6}:{(50,1),(54,1),(93,1),(94,1),(96,1),(127,1),(133,1)}
        72:{2,3,4,5,7}:{(50,1),(55,1),(94,1),(95,1),(130,1),(136,1)}
        73:{1,3,4,6}:{(51,1),(52,1),(92,1),(96,1),(97,1)}
        74:{1,2,4,5,6}:{(52,1),(54,1),(57,1),(93,1),(96,1),(98,1)}
        75:{1,2,4,7}:{(52,1),(53,1),(97,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(59,1),(99,1)}
        77:{2,4,6,7}:{(55,1),(56,1),(60,1),(99,1)}
        78:{1,2,5,7}:{(57,1),(58,1),(59,1)}
        79:{1,3,5,6,7}:{(59,1),(60,1),(99,1),(100,1),(132,1)}
        80:{1,3,4,5,7}:{(61,1),(63,1),(89,1),(101,1),(128,1),(134,1)}
        81:{1,2,4,6}:{(61,1),(62,1),(101,1),(102,1)}
        82:{1,2,3,6,7}:{(62,1),(91,1),(103,1),(145,1)}
        83:{2,3,4,6}:{(63,1),(64,1),(101,1),(104,1)}
        84:{2,3,5,6,7}:{(67,1),(95,1),(106,1)}
        85:{1,3,5,6}:{(64,1),(65,1),(104,1),(108,1)}
        86:{1,3,4,6,7}:{(64,1),(66,1),(97,1),(105,1),(108,1),(132,1)}
        87:{1,2,4,5,7}:{(65,1),(66,1),(108,1),(136,1)}
        88:{1,4,5,6,7}:{(67,1),(99,1),(106,1),(146,1)}
        89:{1,3,4,5}:{(68,1),(70,1),(110,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(110,1),(112,1)}
        91:{1,2,3,5,7}:{(69,1),(82,1),(112,1),(121,1),(139,1)}
        92:{2,3,4,6}:{(70,1),(73,1),(110,1),(113,1),(114,1)}
        93:{2,4,5,6}:{(71,1),(113,1),(115,1)}
        94:{1,3,4,5,7}:{(71,1),(72,1),(76,1),(115,1),(116,1),(117,1),(139,1),(142,1)}
        95:{2,3,4,6,7}:{(72,1),(77,1),(84,1),(116,1),(141,1),(144,1)}
        96:{1,3,5,6}:{(73,1),(74,1),(113,1),(117,1)}
        97:{1,3,4,7}:{(73,1),(75,1),(114,1),(117,1)}
        98:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(78,1),(115,1),(117,1),(118,1)}
        99:{1,4,6,7}:{(76,1),(77,1),(79,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(118,1),(124,1)}
       101:{1,3,4,6}:{(80,1),(81,1),(83,1),(119,1)}
       102:{1,2,5,6}:{(81,1),(119,1),(121,1)}
       103:{1,2,4,6,7}:{(81,1),(82,1),(112,1),(120,1),(121,1)}
       104:{2,3,5,6}:{(83,1),(85,1),(119,1),(122,1),(123,1)}
       105:{2,3,4,6,7}:{(83,1),(86,1),(114,1),(120,1),(123,1),(141,1),(144,1)}
       106:{1,3,5,6,7}:{(84,1),(88,1),(116,1),(124,1)}
       107:{1,3,4,5,6}:{(85,1),(122,1),(125,1)}
       108:{1,3,5,7}:{(85,1),(86,1),(87,1),(123,1)}
       109:{1,2,4,5,6,7}:{(87,1),(88,1),(118,1),(124,1),(126,1),(144,1)}
       110:{1,3,4,6}:{(89,1),(90,1),(92,1),(127,1),(128,1)}
       111:{1,2,4,5,6}:{(90,1),(93,1),(102,1),(127,1),(129,1),(133,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(128,1)}
       113:{2,3,5,6}:{(92,1),(93,1),(96,1),(127,1),(130,1)}
       114:{2,3,4,7}:{(92,1),(97,1),(128,1),(130,1)}
       115:{2,4,5,7}:{(93,1),(94,1),(130,1),(131,1)}
       116:{1,3,4,6,7}:{(94,1),(95,1),(99,1),(106,1),(131,1),(132,1),(145,1),(146,1)}
       117:{1,3,5,7}:{(96,1),(97,1),(98,1),(130,1),(132,1)}
       118:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(131,1),(132,1)}
       119:{1,3,5,6}:{(101,1),(102,1),(104,1),(133,1),(134,1)}
       120:{1,3,4,6,7}:{(101,1),(103,1),(105,1),(128,1),(134,1),(145,1),(146,1)}
       121:{1,2,5,7}:{(102,1),(103,1),(134,1)}
       122:{2,4,5,6}:{(104,1),(107,1),(133,1),(136,1)}
       123:{2,3,5,7}:{(104,1),(105,1),(108,1),(134,1),(136,1)}
       124:{2,5,6,7}:{(106,1),(131,1)}
       125:{1,3,4,5,7}:{(107,1),(108,1),(136,1),(138,1)}
       126:{1,3,5,6,7}:{(108,1),(109,1),(132,1),(137,1),(138,1)}
       127:{1,3,5,6}:{(110,1),(111,1),(113,1),(139,1)}
       128:{1,3,4,7}:{(110,1),(112,1),(114,1),(139,1)}
       129:{1,2,4,5,7}:{(111,1),(112,1),(115,1),(121,1),(139,1),(140,1),(142,1)}
       130:{2,3,5,7}:{(113,1),(114,1),(115,1),(117,1),(139,1),(141,1)}
       131:{2,4,6,7}:{(115,1),(116,1),(124,1),(141,1)}
       132:{1,3,6,7}:{(117,1),(118,1),(141,1)}
       133:{1,4,5,6}:{(119,1),(122,1),(142,1)}
       134:{1,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(142,1)}
       135:{1,2,5,6,7}:{(121,1),(124,1),(140,1),(143,1)}
       136:{2,4,5,7}:{(122,1),(123,1),(125,1),(142,1),(144,1)}
       137:{2,3,5,6,7}:{(123,1),(124,1),(126,1),(141,1),(143,1),(144,1)}
       138:{1,3,4,6,7}:{(125,1),(126,1),(144,1)}
       139:{1,3,5,7}:{(127,1),(128,1),(129,1),(130,1),(145,1)}
       140:{1,2,4,6,7}:{(129,1),(131,1),(135,1),(145,1),(146,1)}
       141:{2,3,6,7}:{(130,1),(131,1),(132,1),(145,1)}
       142:{1,4,5,7}:{(133,1),(134,1),(136,1),(146,1)}
       143:{1,3,5,6,7}:{(134,1),(135,1),(137,1),(145,1),(146,1)}
       144:{2,4,6,7}:{(136,1),(137,1),(138,1),(146,1)}
       145:{1,3,6,7}:{(139,1),(140,1),(141,1)}
       146:{1,4,6,7}:{(142,1),(143,1),(144,1)}

3003 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(101,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(93,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(95,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(72,1),(95,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(72,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(49,1),(81,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(45,1),(84,1),(98,1),(100,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(55,1),(84,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(55,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(58,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(92,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(62,1),(69,1),(89,1),(92,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(44,1),(45,1),(74,1),(96,1),(98,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(45,1),(46,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(47,1),(81,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(47,1),(48,1),(80,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(45,1),(49,1),(50,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(46,1),(50,1),(51,1)}
        35:{1,2,5,6,7}:{(21,1),(48,1),(52,1),(55,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(49,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(50,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(51,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(55,1),(56,1)}
        41:{1,2,3,6}:{(27,1),(56,1)}
        42:{1,2,3,5,6}:{(29,1),(57,1),(58,1),(60,1),(88,1),(102,1)}
        43:{1,2,3,4,6}:{(58,1),(59,1),(60,1),(88,1)}
        44:{1,2,4,6,7}:{(28,1),(32,1),(61,1),(62,1),(89,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(63,1)}
        46:{1,3,4,6}:{(29,1),(34,1),(58,1),(63,1),(64,1)}
        47:{1,4,5,6,7}:{(30,1),(31,1),(65,1),(69,1),(89,1)}
        48:{2,5,6,7}:{(31,1),(32,1)}
        49:{2,3,6,7}:{(32,1),(33,1),(36,1),(62,1)}
        50:{2,3,4,7}:{(33,1),(34,1),(37,1),(63,1)}
        51:{2,3,4,5}:{(34,1),(38,1),(64,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(66,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(67,1),(69,1),(70,1),(71,1)}
        54:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(39,1),(70,1),(72,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(71,1),(72,1)}
        57:{1,2,3,5,7}:{(42,1),(45,1),(73,1),(74,1),(96,1)}
        58:{1,2,4,6}:{(42,1),(46,1),(74,1),(75,1)}
        59:{1,2,3,4,7}:{(43,1),(74,1),(76,1)}
        60:{1,2,3,5}:{(43,1),(75,1)}
        61:{1,2,5,6,7}:{(44,1),(48,1),(77,1),(96,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1)}
        63:{1,3,4,7}:{(45,1),(46,1),(50,1),(74,1)}
        64:{1,3,4,5}:{(46,1),(51,1),(75,1)}
        65:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1)}
        66:{2,3,5,6,7}:{(48,1),(49,1),(52,1),(77,1),(80,1),(81,1),(82,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(78,1),(81,1),(82,1),(83,1)}
        68:{2,3,4,5,7}:{(50,1),(51,1),(54,1),(79,1),(82,1),(83,1)}
        69:{1,4,6,7}:{(52,1),(81,1),(84,1)}
        70:{1,3,5,7}:{(53,1),(55,1),(82,1),(84,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(83,1),(85,1)}
        72:{1,2,5,6}:{(55,1),(56,1),(85,1)}
        73:{1,2,3,6,7}:{(57,1),(62,1),(86,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(63,1)}
        75:{1,2,4,5}:{(58,1),(60,1),(64,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(87,1),(88,1)}
        77:{1,3,5,6,7}:{(61,1),(62,1),(66,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(62,1),(63,1),(67,1),(86,1),(89,1),(90,1),(91,1)}
        79:{1,3,4,5,7}:{(63,1),(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{3,5,6,7}:{(65,1),(92,1)}
        81:{2,4,6,7}:{(66,1),(69,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(67,1),(70,1),(90,1),(93,1),(94,1)}
        83:{2,3,4,6}:{(68,1),(71,1),(91,1),(94,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(93,1),(95,1)}
        85:{1,3,5,6}:{(70,1),(71,1),(72,1),(94,1),(95,1)}
        86:{1,2,4,6,7}:{(73,1),(74,1),(78,1),(96,1),(97,1)}
        87:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(79,1),(96,1),(97,1)}
        88:{1,2,3,6}:{(76,1),(97,1)}
        89:{1,4,6,7}:{(77,1),(81,1),(98,1)}
        90:{1,3,5,7}:{(78,1),(82,1),(96,1),(98,1),(99,1)}
        91:{1,3,4,6}:{(79,1),(83,1),(97,1),(99,1)}
        92:{3,4,6,7}:{(80,1),(81,1),(100,1)}
        93:{2,4,5,7}:{(81,1),(82,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5,6}:{(82,1),(83,1),(85,1),(99,1),(101,1)}
        95:{1,4,5,6}:{(84,1),(85,1),(101,1)}
        96:{1,2,5,7}:{(86,1),(90,1),(102,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(93,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(104,1)}
       101:{2,4,5,6}:{(93,1),(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,5,6}:{(96,1),(97,1),(99,1)}
       103:{1,4,5,6}:{(98,1),(99,1),(101,1)}
       104:{3,4,5,6}:{(100,1),(101,1)}

3004 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(21,1),(46,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(31,1),(65,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(86,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(44,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(56,1),(60,1),(65,1),(106,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(31,1),(61,1),(106,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(108,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(28,1),(31,1),(35,1),(55,1),(64,1),(107,1)}
         8:{1,2,3,5,6,7}:{(14,1),(30,1),(34,1),(61,1),(72,1),(95,1),(107,1),(132,1),(139,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(45,1),(79,1)}
        10:{1,3,4,5,6}:{(4,1),(16,1),(17,1),(39,1),(82,1),(87,1),(124,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(16,1),(18,1),(42,1),(44,1),(124,1)}
        12:{2,5,6,7}:{(6,1),(18,1),(125,1)}
        13:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(42,1),(52,1),(78,1),(85,1)}
        14:{1,2,4,6,7}:{(8,1),(22,1),(23,1),(44,1),(84,1),(92,1),(115,1),(137,1)}
        15:{1,2,3,5,6,7}:{(24,1),(30,1),(54,1),(61,1),(66,1),(101,1),(107,1),(113,1),(135,1)}
        16:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(26,1),(57,1),(64,1)}
        17:{2,4,5,6}:{(10,1),(26,1),(27,1),(104,1),(134,1)}
        18:{2,4,6,7}:{(11,1),(12,1),(26,1),(29,1),(134,1)}
        19:{1,2,5,6,7}:{(12,1),(28,1),(30,1),(107,1),(113,1),(132,1)}
        20:{2,3,5,6,7}:{(12,1),(13,1),(29,1),(30,1),(31,1),(61,1),(63,1),(72,1),(101,1),(107,1)}
        21:{1,3,4,6,7}:{(13,1),(31,1),(32,1),(69,1),(98,1)}
        22:{1,3,4,6,7}:{(14,1),(33,1),(34,1),(69,1),(128,1),(139,1)}
        23:{1,2,4,5,7}:{(14,1),(34,1),(35,1),(64,1),(68,1),(107,1)}
        24:{1,2,4,6,7}:{(15,1),(36,1),(37,1),(44,1),(84,1),(89,1),(118,1),(127,1)}
        25:{1,2,4,5,6}:{(17,1),(38,1),(39,1),(80,1),(87,1),(90,1),(116,1),(125,1),(127,1),(137,1)}
        26:{2,4,5,7}:{(16,1),(17,1),(18,1),(40,1)}
        27:{2,3,5,6}:{(17,1),(39,1),(40,1),(41,1),(122,1),(138,1)}
        28:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(42,1),(44,1),(84,1),(127,1),(137,1)}
        29:{2,3,6,7}:{(18,1),(40,1),(42,1),(138,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(42,1),(44,1),(85,1),(94,1),(120,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(92,1),(118,1)}
        32:{1,3,4,5,7}:{(21,1),(45,1),(46,1),(85,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(84,1),(92,1),(121,1),(138,1)}
        34:{1,3,5,7}:{(22,1),(23,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(23,1),(52,1),(87,1),(92,1),(125,1),(137,1)}
        36:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(98,1),(109,1),(135,1)}
        37:{1,2,4,5,7}:{(24,1),(54,1),(55,1),(64,1),(97,1),(107,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(64,1),(103,1),(107,1)}
        39:{1,3,5,6}:{(25,1),(27,1),(56,1),(57,1),(58,1),(110,1),(129,1),(135,1),(139,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(57,1),(59,1)}
        41:{2,3,4,6}:{(27,1),(58,1),(59,1),(60,1)}
        42:{1,3,6,7}:{(28,1),(29,1),(57,1),(61,1),(135,1),(139,1)}
        43:{2,3,4,6,7}:{(29,1),(31,1),(59,1),(62,1),(63,1),(106,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(64,1),(112,1),(131,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(107,1)}
        46:{1,3,4,5,6}:{(32,1),(65,1),(69,1),(98,1),(108,1)}
        47:{1,2,3,5,6}:{(56,1),(66,1),(67,1),(110,1),(113,1),(135,1)}
        48:{1,3,4,5,7}:{(34,1),(68,1),(69,1)}
        49:{1,2,3,6,7}:{(61,1),(66,1),(70,1),(135,1)}
        50:{1,3,4,6,7}:{(33,1),(70,1),(71,1),(109,1),(112,1),(135,1)}
        51:{2,3,5,7}:{(33,1),(34,1),(68,1),(71,1),(72,1),(107,1)}
        52:{1,3,5,6}:{(34,1),(35,1),(69,1),(72,1),(139,1)}
        53:{2,3,4,6,7}:{(36,1),(76,1),(77,1),(84,1),(118,1),(121,1),(138,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(77,1),(78,1)}
        55:{1,2,4,5,6}:{(37,1),(78,1),(87,1),(118,1),(125,1),(127,1)}
        56:{2,3,5,6}:{(39,1),(79,1),(80,1),(122,1),(125,1),(138,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(40,1),(42,1),(79,1),(81,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(80,1),(81,1),(82,1)}
        59:{2,3,4,7}:{(40,1),(41,1),(81,1)}
        60:{2,3,4,5}:{(41,1),(82,1),(122,1)}
        61:{2,3,6,7}:{(42,1),(79,1),(84,1),(138,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(44,1),(81,1),(84,1),(85,1),(124,1)}
        63:{2,3,5,7}:{(43,1),(45,1),(85,1),(86,1)}
        64:{1,4,5,7}:{(44,1),(45,1),(85,1),(87,1)}
        65:{2,4,5,6}:{(45,1),(46,1),(86,1),(87,1),(92,1),(118,1),(125,1)}
        66:{1,2,3,5,7}:{(47,1),(49,1),(79,1),(89,1),(93,1),(126,1)}
        67:{1,2,4,6}:{(47,1),(80,1),(88,1),(89,1),(90,1)}
        68:{2,4,5,7}:{(48,1),(51,1),(91,1),(92,1)}
        69:{1,3,4,6}:{(48,1),(52,1),(92,1)}
        70:{1,2,4,6,7}:{(49,1),(50,1),(84,1),(89,1),(93,1),(127,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(91,1),(93,1),(94,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(92,1),(94,1),(125,1),(138,1)}
        73:{1,2,3,5,6}:{(56,1),(95,1),(96,1),(129,1),(132,1),(139,1)}
        74:{1,3,4,5,7}:{(54,1),(97,1),(98,1)}
        75:{1,2,3,6,7}:{(61,1),(95,1),(99,1),(139,1)}
        76:{1,3,4,6,7}:{(53,1),(99,1),(100,1),(128,1),(131,1),(139,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(97,1),(100,1),(101,1),(107,1)}
        78:{1,3,5,6}:{(54,1),(55,1),(98,1),(101,1),(135,1)}
        79:{2,3,5,7}:{(56,1),(57,1),(61,1),(103,1),(107,1)}
        80:{2,4,6}:{(56,1),(58,1),(103,1),(104,1)}
        81:{1,3,4,7}:{(57,1),(58,1),(59,1),(103,1)}
        82:{1,3,4,5}:{(58,1),(60,1),(104,1),(110,1),(129,1)}
        83:{2,3,4,5,7}:{(59,1),(60,1),(63,1),(68,1),(97,1),(105,1),(106,1),(133,1)}
        84:{2,4,6,7}:{(61,1),(62,1),(103,1),(107,1),(134,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(64,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(63,1),(65,1),(106,1),(108,1)}
        87:{1,4,5,6}:{(64,1),(65,1),(108,1),(112,1),(131,1)}
        88:{1,3,4,6}:{(67,1),(102,1),(109,1),(110,1),(135,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(103,1),(109,1)}
        90:{1,2,4,5}:{(67,1),(104,1),(110,1)}
        91:{1,4,5,7}:{(68,1),(71,1),(112,1)}
        92:{2,4,6}:{(68,1),(69,1),(72,1),(112,1)}
        93:{1,2,5,7}:{(70,1),(71,1),(107,1),(113,1)}
        94:{1,3,5,6}:{(71,1),(72,1),(112,1),(113,1),(135,1)}
        95:{1,2,3,5,7}:{(73,1),(75,1),(79,1),(115,1),(119,1),(136,1)}
        96:{1,2,4,6}:{(73,1),(80,1),(114,1),(115,1),(116,1)}
        97:{2,4,5,7}:{(74,1),(77,1),(117,1),(118,1)}
        98:{1,3,4,6}:{(74,1),(78,1),(118,1)}
        99:{1,2,4,6,7}:{(75,1),(76,1),(84,1),(115,1),(119,1),(137,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(117,1),(119,1),(120,1)}
       101:{2,3,5,6}:{(77,1),(78,1),(118,1),(120,1),(125,1),(138,1)}
       102:{2,3,4,6}:{(80,1),(88,1),(114,1),(121,1),(122,1),(138,1)}
       103:{2,4,7}:{(79,1),(80,1),(81,1)}
       104:{2,4,5}:{(80,1),(82,1),(122,1)}
       105:{1,3,4,5,7}:{(81,1),(82,1),(83,1),(85,1),(91,1),(117,1),(123,1),(124,1),(126,1),(136,1)}
       106:{2,3,4,6}:{(83,1),(86,1),(92,1),(118,1),(124,1),(138,1)}
       107:{2,5,7}:{(84,1),(85,1),(125,1)}
       108:{1,3,5,6}:{(85,1),(86,1),(87,1),(124,1),(125,1)}
       109:{1,3,4,7}:{(88,1),(89,1),(121,1),(126,1)}
       110:{1,3,5}:{(88,1),(90,1),(122,1)}
       111:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(126,1),(127,1)}
       112:{1,4,6}:{(91,1),(92,1),(94,1)}
       113:{1,2,5,6}:{(93,1),(94,1),(125,1),(127,1)}
       114:{1,3,4,6}:{(96,1),(102,1),(128,1),(129,1),(139,1)}
       115:{1,2,4,7}:{(95,1),(96,1),(103,1),(128,1)}
       116:{1,2,4,5}:{(96,1),(104,1),(129,1)}
       117:{1,4,5,7}:{(97,1),(100,1),(131,1)}
       118:{2,4,6}:{(97,1),(98,1),(101,1),(131,1)}
       119:{1,2,5,7}:{(99,1),(100,1),(107,1),(132,1)}
       120:{1,3,5,6}:{(100,1),(101,1),(131,1),(132,1),(139,1)}
       121:{2,3,4,7}:{(102,1),(103,1),(109,1),(128,1),(133,1)}
       122:{2,3,5}:{(102,1),(104,1),(110,1),(129,1)}
       123:{2,4,5,7}:{(103,1),(104,1),(105,1),(107,1),(133,1),(134,1)}
       124:{1,3,4,6}:{(105,1),(106,1),(108,1),(112,1),(131,1),(134,1),(135,1),(139,1)}
       125:{2,5,6}:{(107,1),(108,1),(134,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(111,1),(133,1),(135,1)}
       127:{1,2,4,6}:{(111,1),(112,1),(113,1),(134,1),(135,1)}
       128:{1,3,4,7}:{(114,1),(115,1),(121,1),(136,1)}
       129:{1,3,5}:{(114,1),(116,1),(122,1)}
       130:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(119,1),(123,1),(136,1),(137,1)}
       131:{1,4,6}:{(117,1),(118,1),(120,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(125,1),(137,1)}
       133:{2,3,5,7}:{(121,1),(122,1),(123,1),(126,1),(136,1),(138,1)}
       134:{2,4,6}:{(123,1),(124,1),(125,1),(138,1)}
       135:{1,3,6}:{(126,1),(127,1),(138,1)}
       136:{1,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(139,1)}
       137:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,3,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,6}:{(136,1),(137,1),(138,1)}

3005 :   0:{1,3,4,5,6,7}:{(2,1),(9,1),(12,1),(28,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(17,1),(21,1),(22,1),(39,1),(45,1),(46,1),(81,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(17,1),(21,1),(44,1)}
         3:{1,2,3,5,6,7}:{(7,1),(18,1),(23,1),(52,1),(81,1),(82,1),(109,1),(110,1),(130,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(36,1),(56,1),(61,1),(65,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(12,1),(60,1)}
         6:{1,4,5,6,7}:{(2,1),(12,1),(30,1),(63,1)}
         7:{1,2,4,6,7}:{(3,1),(13,1),(14,1),(30,1),(62,1),(68,1),(120,1),(123,1)}
         8:{1,2,3,5,6,7}:{(15,1),(18,1),(40,1),(75,1),(81,1),(82,1),(89,1),(90,1),(117,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(50,1),(73,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(18,1),(21,1),(42,1),(49,1),(52,1),(75,1),(81,1),(82,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(20,1),(78,1),(82,1)}
        12:{1,3,5,6,7}:{(5,1),(6,1),(20,1),(21,1),(80,1)}
        13:{1,2,4,5,7}:{(7,1),(22,1),(23,1),(45,1),(51,1),(81,1)}
        14:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(50,1),(130,1),(131,1)}
        15:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(62,1),(91,1),(103,1),(106,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(61,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(29,1),(30,1),(68,1),(91,1)}
        18:{1,3,5,6,7}:{(10,1),(30,1),(31,1),(61,1),(65,1),(70,1),(93,1)}
        19:{2,3,4,5,7}:{(11,1),(29,1),(32,1),(33,1),(99,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(30,1),(33,1),(34,1),(65,1),(96,1)}
        21:{2,5,6,7}:{(12,1),(34,1),(98,1)}
        22:{1,2,4,5,6}:{(13,1),(36,1),(63,1),(68,1),(98,1),(120,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(36,1),(37,1)}
        24:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(62,1),(68,1),(124,1),(125,1)}
        25:{1,2,4,5,7}:{(15,1),(39,1),(40,1),(45,1),(74,1),(81,1)}
        26:{1,3,4,6,7}:{(15,1),(40,1),(41,1),(73,1),(117,1),(118,1)}
        27:{2,3,4,6,7}:{(17,1),(42,1),(43,1),(49,1),(78,1),(86,1)}
        28:{1,3,4,5,6}:{(16,1),(44,1),(50,1),(73,1),(80,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(42,1),(44,1),(45,1),(81,1)}
        30:{1,4,6,7}:{(17,1),(18,1),(45,1),(87,1),(107,1)}
        31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(81,1),(89,1),(109,1)}
        32:{2,3,4,5,6}:{(19,1),(44,1),(47,1),(78,1),(113,1),(116,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(45,1),(47,1),(48,1),(84,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(48,1),(49,1),(111,1)}
        35:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(130,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(51,1),(52,1),(53,1),(81,1)}
        38:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(117,1),(118,1)}
        39:{1,2,4,5,6}:{(25,1),(56,1),(63,1),(91,1),(98,1),(103,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(26,1),(57,1),(58,1),(62,1),(91,1),(124,1),(125,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(27,1),(30,1),(61,1),(62,1),(65,1),(96,1),(101,1)}
        44:{2,4,5,6}:{(28,1),(29,1),(60,1),(63,1),(68,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(29,1),(30,1),(61,1),(63,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(62,1),(64,1),(65,1),(103,1),(120,1)}
        47:{1,3,4,5,6}:{(32,1),(33,1),(63,1),(66,1),(96,1),(100,1),(127,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(34,1),(65,1),(67,1),(124,1)}
        50:{1,3,4,6}:{(35,1),(36,1),(68,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(68,1),(70,1),(98,1),(124,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,2,4,6,7}:{(38,1),(62,1),(71,1),(72,1),(103,1),(106,1)}
        55:{1,3,4,5,7}:{(40,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(117,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(74,1),(75,1),(76,1),(81,1)}
        58:{1,3,4,6,7}:{(41,1),(76,1),(77,1),(107,1),(130,1),(131,1)}
        59:{2,3,4,5,7}:{(42,1),(51,1),(74,1),(78,1),(79,1),(86,1),(112,1),(116,1)}
        60:{2,3,5,6}:{(42,1),(44,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(45,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(81,1),(82,1),(111,1),(114,1)}
        63:{1,4,5,6}:{(44,1),(45,1),(80,1),(87,1),(107,1)}
        64:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1),(84,1),(114,1)}
        65:{1,3,6,7}:{(46,1),(49,1),(82,1),(84,1),(117,1),(130,1)}
        66:{2,4,5,6}:{(47,1),(48,1),(85,1),(111,1),(134,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(84,1),(85,1),(86,1)}
        68:{2,4,6}:{(50,1),(51,1),(52,1),(87,1)}
        69:{1,4,5,7}:{(51,1),(53,1),(87,1)}
        70:{1,3,5,6}:{(52,1),(53,1),(87,1),(89,1),(117,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(81,1),(89,1)}
        72:{1,2,3,6,7}:{(54,1),(82,1),(90,1),(117,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(91,1)}
        74:{2,4,5,7}:{(55,1),(57,1),(91,1),(92,1)}
        75:{2,3,5,6}:{(56,1),(57,1),(91,1),(93,1),(98,1),(124,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(92,1),(93,1),(94,1)}
        77:{1,2,4,6,7}:{(58,1),(62,1),(94,1),(95,1),(120,1),(123,1)}
        78:{2,3,4,6}:{(59,1),(60,1),(68,1),(91,1),(96,1),(124,1)}
        79:{1,3,4,5,7}:{(59,1),(61,1),(69,1),(92,1),(96,1),(97,1),(101,1),(104,1),(121,1),(127,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(63,1),(96,1),(98,1)}
        81:{2,5,7}:{(61,1),(62,1),(98,1)}
        82:{2,3,6,7}:{(62,1),(65,1),(99,1),(124,1)}
        83:{1,2,4,5,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(103,1),(120,1),(126,1),(129,1),(137,1)}
        84:{1,3,5,7}:{(64,1),(65,1),(67,1),(99,1),(100,1),(101,1)}
        85:{2,3,5,6}:{(66,1),(67,1),(100,1),(102,1),(124,1),(138,1)}
        86:{2,3,4,7}:{(67,1),(101,1),(102,1)}
        87:{1,4,6}:{(68,1),(69,1),(70,1)}
        88:{1,2,4,5,7}:{(69,1),(71,1),(97,1),(103,1),(104,1),(106,1),(129,1)}
        89:{1,2,5,6}:{(70,1),(71,1),(98,1),(103,1)}
        90:{1,2,3,5,7}:{(71,1),(72,1),(99,1),(104,1),(105,1),(106,1)}
        91:{2,4,6}:{(73,1),(74,1),(75,1),(107,1)}
        92:{1,4,5,7}:{(74,1),(76,1),(107,1)}
        93:{1,3,5,6}:{(75,1),(76,1),(107,1),(109,1),(130,1)}
        94:{1,2,5,7}:{(76,1),(77,1),(81,1),(109,1)}
        95:{1,2,3,6,7}:{(77,1),(82,1),(110,1),(130,1)}
        96:{1,3,4,6}:{(78,1),(79,1),(80,1),(87,1),(107,1),(111,1),(117,1),(130,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(111,1),(112,1),(114,1),(134,1)}
        98:{2,5,6}:{(80,1),(81,1),(111,1)}
        99:{2,3,5,7}:{(81,1),(82,1),(84,1),(113,1),(114,1)}
       100:{1,3,5,6}:{(83,1),(84,1),(85,1),(113,1),(115,1),(117,1),(130,1),(135,1),(139,1)}
       101:{1,3,4,7}:{(84,1),(86,1),(114,1),(115,1)}
       102:{2,3,4,6}:{(85,1),(86,1),(115,1),(116,1)}
       103:{1,2,4,6}:{(87,1),(88,1),(89,1),(111,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(112,1),(117,1),(118,1),(135,1)}
       105:{1,2,3,5,6}:{(89,1),(90,1),(113,1),(117,1),(119,1),(135,1)}
       106:{1,2,4,7}:{(90,1),(114,1),(118,1),(119,1)}
       107:{1,4,6}:{(91,1),(92,1),(93,1)}
       108:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(120,1),(121,1),(123,1),(137,1)}
       109:{1,2,5,6}:{(93,1),(94,1),(98,1),(120,1)}
       110:{1,2,3,5,7}:{(94,1),(95,1),(99,1),(121,1),(122,1),(123,1)}
       111:{2,4,6}:{(96,1),(97,1),(98,1),(124,1)}
       112:{2,3,5,7}:{(97,1),(104,1),(121,1),(124,1),(125,1),(138,1)}
       113:{2,3,5,6}:{(98,1),(99,1),(100,1),(124,1),(126,1),(138,1)}
       114:{2,4,7}:{(99,1),(101,1),(126,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{2,3,4,5}:{(102,1),(127,1),(138,1)}
       117:{1,3,6}:{(103,1),(104,1),(124,1)}
       118:{1,3,4,7}:{(104,1),(106,1),(125,1),(128,1)}
       119:{1,2,4,6}:{(105,1),(106,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(130,1)}
       121:{1,3,5,7}:{(108,1),(112,1),(130,1),(131,1),(139,1)}
       122:{1,2,3,5,6}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(114,1),(131,1),(132,1)}
       124:{2,3,6}:{(111,1),(112,1),(117,1),(130,1)}
       125:{2,3,4,7}:{(112,1),(114,1),(118,1),(131,1),(133,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(134,1)}
       127:{1,3,4,5}:{(115,1),(116,1),(134,1),(135,1),(139,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(119,1),(133,1),(135,1)}
       129:{1,2,4,5}:{(119,1),(134,1),(135,1)}
       130:{1,3,6}:{(120,1),(121,1),(124,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(125,1),(136,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(126,1),(136,1),(137,1)}
       133:{2,3,4,6}:{(124,1),(125,1),(126,1),(128,1),(136,1),(138,1)}
       134:{2,4,5}:{(126,1),(127,1),(138,1)}
       135:{1,3,5}:{(128,1),(129,1),(138,1)}
       136:{1,3,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       137:{1,2,4,5}:{(132,1),(134,1),(139,1)}
       138:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,5}:{(136,1),(137,1),(138,1)}

3006 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3007 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(22,1),(72,1),(117,1),(142,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(30,1),(94,1)}
         2:{1,2,3,4,6,7}:{(5,1),(16,1),(39,1),(44,1),(89,1),(126,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(114,1),(142,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(18,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(53,1),(64,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(30,1),(128,1),(146,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,2,3,5,6,7}:{(4,1),(14,1),(30,1),(63,1),(131,1),(133,1),(145,1)}
         9:{1,2,4,5,7}:{(5,1),(15,1),(16,1),(86,1),(126,1)}
        10:{1,2,3,5,6}:{(5,1),(16,1),(35,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(41,1)}
        12:{2,3,4,5,7}:{(6,1),(20,1),(21,1),(46,1),(119,1),(144,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(19,1),(22,1),(82,1),(142,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(53,1),(104,1),(138,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(25,1)}
        17:{1,2,3,5,6,7}:{(10,1),(26,1),(53,1),(93,1),(107,1),(109,1),(137,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(29,1),(30,1)}
        19:{1,2,4,5,7}:{(11,1),(14,1),(30,1),(62,1)}
        20:{1,3,4,5,7}:{(12,1),(32,1),(33,1),(66,1),(104,1),(138,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(29,1),(33,1)}
        22:{1,3,4,6,7}:{(13,1),(14,1),(30,1),(34,1),(145,1),(146,1)}
        23:{1,2,4,5,6}:{(16,1),(35,1),(36,1),(69,1)}
        24:{2,3,4,5,7}:{(15,1),(37,1),(38,1),(74,1),(119,1),(144,1)}
        25:{1,3,4,6}:{(15,1),(16,1),(35,1),(38,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(39,1),(110,1),(126,1)}
        27:{1,3,4,5,6}:{(18,1),(41,1),(42,1)}
        28:{1,2,4,5,6,7}:{(19,1),(43,1),(81,1),(82,1),(122,1),(139,1)}
        29:{2,3,5,6}:{(18,1),(21,1),(41,1),(45,1),(46,1)}
        30:{1,3,5,7}:{(18,1),(19,1),(22,1),(46,1)}
        31:{1,2,3,4,7}:{(44,1),(47,1),(126,1)}
        32:{1,2,4,5,7}:{(20,1),(47,1),(48,1),(86,1),(88,1),(126,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(48,1)}
        34:{2,3,4,6,7}:{(21,1),(22,1),(46,1),(49,1),(82,1),(143,1),(144,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(52,1),(53,1)}
        36:{1,2,4,5,7}:{(23,1),(26,1),(53,1),(92,1)}
        37:{1,3,4,5,7}:{(24,1),(55,1),(56,1),(96,1),(128,1),(146,1)}
        38:{2,3,4,6}:{(24,1),(25,1),(52,1),(56,1)}
        39:{1,3,4,6,7}:{(25,1),(26,1),(53,1),(57,1),(137,1),(138,1)}
        40:{1,3,4,5,6,7}:{(59,1),(60,1),(90,1),(102,1)}
        41:{2,4,5,6}:{(27,1),(29,1),(61,1),(62,1)}
        42:{1,3,4,5,7}:{(27,1),(30,1),(60,1),(62,1)}
        43:{1,3,5,6,7}:{(28,1),(30,1),(60,1),(63,1),(145,1)}
        44:{1,2,3,4,6}:{(31,1),(64,1),(67,1),(108,1)}
        45:{1,3,5,6}:{(29,1),(33,1),(61,1),(65,1),(66,1)}
        46:{2,3,5,7}:{(29,1),(30,1),(34,1),(62,1),(66,1)}
        47:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(67,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(65,1),(67,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(66,1),(68,1),(103,1),(137,1),(138,1)}
        50:{1,3,4,5,6}:{(35,1),(69,1),(70,1)}
        51:{1,2,4,5,6,7}:{(36,1),(71,1),(81,1),(110,1),(122,1),(123,1)}
        52:{2,3,5,6}:{(35,1),(38,1),(69,1),(73,1),(74,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(39,1),(74,1)}
        54:{1,2,3,4,7}:{(72,1),(75,1),(142,1)}
        55:{1,2,4,5,7}:{(37,1),(75,1),(76,1),(114,1),(116,1),(142,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(73,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(74,1),(77,1),(110,1),(143,1),(144,1)}
        58:{2,3,4,5,6}:{(41,1),(69,1),(78,1),(79,1),(120,1)}
        59:{2,4,5,6,7}:{(40,1),(80,1),(81,1),(82,1),(110,1),(122,1)}
        60:{1,3,4,6,7}:{(42,1),(43,1),(82,1)}
        61:{1,4,5,6}:{(41,1),(45,1),(84,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(46,1),(82,1),(84,1)}
        63:{2,3,5,6,7}:{(43,1),(46,1),(82,1),(85,1),(122,1),(143,1)}
        64:{1,2,3,5}:{(44,1),(86,1)}
        65:{1,2,5,6}:{(45,1),(48,1),(88,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(84,1),(88,1)}
        67:{1,2,3,6}:{(47,1),(48,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(88,1),(89,1),(126,1)}
        69:{2,4,5,6}:{(50,1),(52,1),(91,1),(92,1)}
        70:{1,3,4,5,7}:{(50,1),(53,1),(90,1),(92,1)}
        71:{1,3,5,6,7}:{(51,1),(53,1),(90,1),(93,1),(137,1)}
        72:{1,2,3,4,6}:{(54,1),(94,1),(97,1),(132,1)}
        73:{1,3,5,6}:{(52,1),(56,1),(91,1),(95,1),(96,1)}
        74:{2,3,5,7}:{(52,1),(53,1),(57,1),(92,1),(96,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(94,1),(97,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(95,1),(97,1)}
        77:{1,3,4,6,7}:{(56,1),(57,1),(96,1),(98,1),(127,1),(145,1),(146,1)}
        78:{1,3,4,5,6}:{(58,1),(61,1),(91,1),(100,1),(101,1),(105,1),(129,1)}
        79:{2,3,4,5,7}:{(58,1),(62,1),(92,1),(99,1),(101,1),(136,1)}
        80:{2,3,5,6,7}:{(59,1),(99,1),(102,1)}
        81:{1,4,5,6,7}:{(59,1),(102,1),(103,1),(127,1)}
        82:{2,4,6,7}:{(60,1),(62,1),(63,1),(103,1)}
        83:{1,2,4,5,6}:{(61,1),(65,1),(100,1),(105,1),(106,1),(108,1)}
        84:{1,4,5,7}:{(61,1),(62,1),(66,1),(103,1)}
        85:{1,3,5,6,7}:{(63,1),(66,1),(103,1),(107,1),(137,1)}
        86:{1,2,4,5}:{(64,1),(104,1),(108,1)}
        87:{1,2,3,5,6}:{(64,1),(65,1),(67,1),(105,1),(108,1),(109,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(68,1)}
        89:{1,2,3,6,7}:{(67,1),(68,1),(109,1),(137,1)}
        90:{1,3,4,6,7}:{(70,1),(71,1),(110,1)}
        91:{1,4,5,6}:{(69,1),(73,1),(112,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(74,1),(110,1),(112,1)}
        93:{2,3,5,6,7}:{(71,1),(74,1),(110,1),(113,1),(122,1),(143,1)}
        94:{1,2,3,5}:{(72,1),(114,1)}
        95:{1,2,5,6}:{(73,1),(76,1),(116,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(77,1),(112,1),(116,1)}
        97:{1,2,3,6}:{(75,1),(76,1)}
        98:{1,2,4,6,7}:{(76,1),(77,1),(116,1),(117,1),(142,1)}
        99:{2,3,4,6,7}:{(79,1),(80,1),(82,1),(110,1),(118,1),(143,1)}
       100:{2,4,5,6}:{(78,1),(120,1),(121,1)}
       101:{1,3,4,5,7}:{(78,1),(79,1),(84,1),(112,1),(118,1),(121,1),(125,1),(141,1)}
       102:{1,3,5,6,7}:{(80,1),(81,1),(118,1),(122,1)}
       103:{1,4,6,7}:{(82,1),(84,1),(85,1)}
       104:{1,3,4,5}:{(86,1),(119,1),(124,1)}
       105:{1,3,5,6}:{(83,1),(120,1),(124,1),(125,1)}
       106:{1,2,4,5,7}:{(83,1),(84,1),(88,1),(121,1),(123,1),(125,1),(126,1)}
       107:{1,2,5,6,7}:{(85,1),(88,1),(122,1),(123,1)}
       108:{1,2,4,6}:{(86,1),(87,1),(124,1),(126,1)}
       109:{1,2,3,5,7}:{(87,1),(88,1),(89,1),(125,1),(126,1)}
       110:{2,4,6,7}:{(90,1),(92,1),(93,1),(127,1)}
       111:{1,2,4,5,6}:{(91,1),(95,1),(100,1),(129,1),(130,1),(132,1)}
       112:{1,4,5,7}:{(91,1),(92,1),(96,1),(127,1)}
       113:{1,3,5,6,7}:{(93,1),(96,1),(127,1),(131,1),(145,1)}
       114:{1,2,4,5}:{(94,1),(128,1),(132,1)}
       115:{1,2,3,5,6}:{(94,1),(95,1),(97,1),(129,1),(132,1),(133,1)}
       116:{1,2,5,7}:{(95,1),(96,1),(98,1)}
       117:{1,2,3,6,7}:{(97,1),(98,1),(133,1),(145,1)}
       118:{1,3,4,6,7}:{(99,1),(101,1),(102,1),(103,1),(127,1),(134,1),(137,1),(145,1)}
       119:{2,3,4,5}:{(104,1),(128,1),(135,1)}
       120:{2,3,5,6}:{(100,1),(105,1),(129,1),(135,1),(136,1)}
       121:{2,4,5,7}:{(100,1),(101,1),(134,1),(136,1)}
       122:{2,5,6,7}:{(102,1),(134,1)}
       123:{1,2,4,6,7}:{(103,1),(106,1),(107,1),(134,1),(137,1)}
       124:{1,3,4,6}:{(104,1),(105,1),(108,1),(135,1),(138,1)}
       125:{1,3,5,7}:{(105,1),(106,1),(136,1),(137,1),(138,1)}
       126:{1,2,4,7}:{(108,1),(109,1),(138,1)}
       127:{1,4,6,7}:{(110,1),(112,1),(113,1)}
       128:{1,3,4,5}:{(114,1),(119,1),(140,1)}
       129:{1,3,5,6}:{(111,1),(120,1),(140,1),(141,1)}
       130:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(121,1),(139,1),(141,1),(142,1)}
       131:{1,2,5,6,7}:{(113,1),(116,1),(122,1),(139,1)}
       132:{1,2,4,6}:{(114,1),(115,1),(140,1),(142,1)}
       133:{1,2,3,5,7}:{(115,1),(116,1),(117,1),(141,1),(142,1)}
       134:{2,4,6,7}:{(118,1),(121,1),(122,1),(143,1)}
       135:{2,3,4,6}:{(119,1),(120,1),(124,1),(140,1),(144,1)}
       136:{2,3,5,7}:{(120,1),(121,1),(125,1),(141,1),(143,1),(144,1)}
       137:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       138:{1,3,4,7}:{(124,1),(125,1),(126,1),(144,1)}
       139:{1,2,4,6,7}:{(127,1),(130,1),(131,1),(134,1),(145,1)}
       140:{1,3,4,6}:{(128,1),(129,1),(132,1),(135,1),(146,1)}
       141:{1,3,5,7}:{(129,1),(130,1),(136,1),(145,1),(146,1)}
       142:{1,2,4,7}:{(132,1),(133,1),(146,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(137,1),(145,1)}
       144:{2,3,4,7}:{(135,1),(136,1),(138,1),(146,1)}
       145:{1,3,6,7}:{(139,1),(141,1),(143,1)}
       146:{1,3,4,7}:{(140,1),(141,1),(142,1),(144,1)}

3008 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(38,1),(40,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(48,1)}
         8:{1,2,3,5}:{(3,1),(16,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(52,1),(83,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(58,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(18,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(58,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        16:{1,2,4,5}:{(8,1),(29,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(64,1)}
        18:{2,3,4,5}:{(12,1),(29,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(40,1),(64,1),(73,1),(89,1),(93,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(71,1),(95,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(32,1),(37,1),(41,1),(74,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(37,1),(38,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(39,1),(76,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(33,1),(40,1),(41,1)}
        25:{1,2,4,5,6}:{(13,1),(34,1),(38,1),(40,1),(42,1),(73,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(44,1),(48,1),(79,1)}
        28:{1,2,3,6}:{(15,1),(44,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        31:{1,2,3,5,7}:{(17,1),(45,1),(48,1),(79,1),(80,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(50,1),(53,1),(84,1)}
        33:{2,3,4,6}:{(18,1),(24,1),(46,1),(52,1),(53,1)}
        34:{2,4,5,6}:{(19,1),(52,1),(54,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(55,1),(59,1),(80,1),(87,1),(98,1),(100,1)}
        36:{2,3,4,6,7}:{(20,1),(51,1),(55,1),(86,1),(102,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(50,1),(56,1)}
        38:{1,2,5,6}:{(22,1),(56,1),(58,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(57,1),(58,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(52,1),(59,1)}
        41:{1,3,4,7}:{(24,1),(26,1),(53,1),(59,1)}
        42:{1,2,4,5,7}:{(25,1),(26,1),(54,1),(58,1),(59,1),(60,1),(87,1)}
        43:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(61,1),(65,1),(90,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,2,3,6,7}:{(28,1),(31,1),(63,1),(92,1)}
        46:{1,3,4,6}:{(29,1),(30,1),(33,1),(64,1),(65,1)}
        47:{1,2,4,5,6}:{(30,1),(34,1),(62,1),(64,1),(66,1),(89,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        49:{3,4,5,6,7}:{(67,1),(104,1)}
        50:{2,3,4,6}:{(32,1),(37,1),(61,1),(68,1)}
        51:{2,3,5,6,7}:{(36,1),(67,1),(70,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(40,1),(64,1),(71,1)}
        53:{2,3,4,7}:{(33,1),(41,1),(65,1),(71,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(71,1),(72,1)}
        55:{1,3,4,6,7}:{(35,1),(36,1),(70,1),(72,1),(76,1),(92,1),(97,1),(103,1),(104,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(68,1),(73,1),(74,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(69,1),(74,1),(76,1),(97,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(76,1)}
        60:{1,2,4,6,7}:{(42,1),(72,1),(75,1),(76,1),(97,1)}
        61:{1,3,4,6}:{(43,1),(44,1),(50,1),(77,1)}
        62:{1,2,5,6}:{(44,1),(77,1),(79,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(78,1),(79,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(52,1),(80,1)}
        65:{1,3,4,7}:{(46,1),(48,1),(53,1),(80,1)}
        66:{1,2,4,5,7}:{(47,1),(48,1),(54,1),(79,1),(80,1),(81,1),(98,1)}
        67:{2,4,5,6,7}:{(49,1),(51,1),(82,1),(102,1)}
        68:{2,3,5,6}:{(50,1),(56,1),(77,1),(83,1),(84,1)}
        69:{2,3,4,6,7}:{(50,1),(53,1),(57,1),(78,1),(84,1),(86,1),(102,1)}
        70:{1,3,5,6,7}:{(51,1),(55,1),(82,1),(85,1),(101,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(54,1),(59,1),(80,1),(86,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(85,1),(86,1)}
        73:{1,4,5,6}:{(56,1),(83,1),(87,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(58,1),(84,1),(87,1)}
        75:{1,2,5,6,7}:{(58,1),(60,1),(85,1),(88,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(86,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(68,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(90,1),(92,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(66,1),(71,1),(92,1)}
        81:{1,2,4,6,7}:{(66,1),(72,1),(91,1),(92,1),(103,1)}
        82:{1,4,5,6,7}:{(67,1),(70,1),(94,1),(97,1),(103,1)}
        83:{2,4,5,6}:{(68,1),(73,1),(89,1),(93,1),(95,1)}
        84:{2,3,5,7}:{(68,1),(69,1),(74,1),(90,1),(95,1)}
        85:{2,5,6,7}:{(70,1),(72,1)}
        86:{2,3,6,7}:{(71,1),(72,1),(76,1),(92,1)}
        87:{1,4,5,7}:{(73,1),(74,1),(95,1),(97,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(76,1),(96,1),(97,1)}
        89:{1,4,5,6}:{(77,1),(83,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(98,1)}
        91:{1,2,5,6,7}:{(79,1),(81,1),(85,1),(99,1)}
        92:{1,3,6,7}:{(80,1),(81,1),(86,1)}
        93:{3,4,5,6}:{(83,1),(100,1)}
        94:{2,4,5,6,7}:{(82,1),(85,1),(101,1),(102,1)}
        95:{2,4,5,7}:{(83,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        96:{2,3,5,6,7}:{(84,1),(85,1),(86,1),(88,1),(99,1),(101,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(95,1),(103,1)}
        99:{1,3,5,6,7}:{(90,1),(91,1),(92,1),(96,1),(103,1)}
       100:{3,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{3,5,6,7}:{(94,1),(104,1)}
       102:{2,4,6,7}:{(95,1),(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(102,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

3009 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(18,1),(134,1),(135,1),(145,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(142,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(145,1),(146,1)}
         4:{1,2,3,5,6,7}:{(2,1),(10,1),(27,1),(28,1),(95,1),(127,1),(140,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(28,1),(143,1),(144,1)}
         7:{1,2,3,4,6,7}:{(13,1),(34,1),(69,1),(85,1),(86,1),(118,1)}
         8:{1,2,4,5,6,7}:{(15,1),(16,1),(38,1),(41,1),(79,1),(112,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(40,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(16,1),(18,1),(41,1),(145,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(17,1),(19,1)}
        12:{2,3,4,5,7}:{(6,1),(19,1),(20,1),(43,1),(138,1),(139,1)}
        13:{1,2,3,5,7}:{(7,1),(21,1),(22,1),(87,1),(104,1)}
        14:{1,3,4,5,6,7}:{(24,1),(26,1),(53,1),(57,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(127,1)}
        16:{1,2,4,5,7}:{(9,1),(10,1),(28,1),(58,1)}
        17:{1,3,5,6}:{(9,1),(11,1),(28,1),(29,1)}
        18:{1,3,4,6,7}:{(10,1),(11,1),(28,1),(30,1),(127,1),(143,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(29,1),(31,1)}
        20:{1,3,4,5,7}:{(12,1),(31,1),(32,1),(62,1),(130,1),(131,1)}
        21:{1,2,3,5,6}:{(13,1),(34,1),(68,1)}
        22:{1,2,4,5,7}:{(13,1),(34,1),(35,1),(118,1),(119,1)}
        23:{1,2,4,5,6,7}:{(36,1),(38,1),(67,1),(74,1),(79,1),(82,1)}
        24:{2,4,5,6,7}:{(14,1),(37,1),(38,1),(41,1),(74,1),(79,1)}
        25:{1,3,4,5,6}:{(17,1),(39,1),(40,1)}
        26:{1,3,4,6,7}:{(15,1),(39,1),(41,1)}
        27:{2,3,5,6,7}:{(15,1),(41,1),(42,1),(43,1),(79,1),(115,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(18,1),(43,1)}
        29:{2,3,5,6}:{(17,1),(19,1),(40,1),(43,1),(44,1)}
        30:{2,3,4,6,7}:{(18,1),(19,1),(41,1),(43,1),(45,1),(115,1),(138,1)}
        31:{1,3,4,6}:{(19,1),(20,1),(44,1),(46,1)}
        32:{1,2,4,5,7}:{(20,1),(46,1),(47,1),(83,1),(118,1),(119,1)}
        33:{1,2,3,5,6,7}:{(21,1),(49,1),(54,1),(61,1),(87,1),(101,1),(102,1)}
        34:{1,2,4,6}:{(21,1),(22,1),(50,1)}
        35:{1,3,4,5,7}:{(22,1),(50,1),(51,1),(87,1),(130,1),(131,1)}
        36:{1,3,5,6,7}:{(23,1),(53,1),(54,1),(87,1),(101,1)}
        37:{2,3,5,6,7}:{(24,1),(56,1),(57,1)}
        38:{1,4,5,6,7}:{(24,1),(57,1),(60,1),(94,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(28,1),(58,1)}
        40:{2,4,5,6}:{(25,1),(29,1),(58,1),(59,1)}
        41:{2,4,6,7}:{(26,1),(27,1),(58,1),(60,1)}
        42:{1,3,5,6,7}:{(27,1),(60,1),(61,1),(62,1),(101,1)}
        43:{2,3,5,7}:{(28,1),(29,1),(30,1),(58,1),(62,1)}
        44:{1,3,5,6}:{(29,1),(31,1),(59,1),(62,1),(63,1)}
        45:{1,3,4,6,7}:{(30,1),(31,1),(60,1),(62,1),(64,1),(101,1),(130,1)}
        46:{1,2,4,6}:{(31,1),(32,1),(63,1),(65,1)}
        47:{1,2,3,5,7}:{(32,1),(65,1),(66,1),(104,1)}
        48:{1,2,4,5,6}:{(34,1),(67,1),(68,1),(73,1)}
        49:{1,2,4,6,7}:{(33,1),(34,1),(67,1),(69,1),(74,1),(118,1)}
        50:{1,3,4,6}:{(34,1),(35,1),(68,1),(70,1)}
        51:{2,3,4,5,7}:{(35,1),(70,1),(71,1),(105,1),(138,1),(139,1)}
        52:{1,3,4,5,6}:{(68,1),(72,1),(73,1)}
        53:{1,3,4,6,7}:{(36,1),(72,1),(74,1)}
        54:{2,3,5,6,7}:{(36,1),(74,1),(75,1),(79,1),(105,1),(115,1)}
        55:{2,3,4,5,6}:{(40,1),(73,1),(76,1),(77,1),(114,1)}
        56:{2,3,4,6,7}:{(37,1),(41,1),(74,1),(76,1),(78,1),(115,1)}
        57:{1,3,5,6,7}:{(37,1),(38,1),(78,1),(79,1)}
        58:{2,4,5,7}:{(39,1),(40,1),(41,1),(43,1),(80,1)}
        59:{1,4,5,6}:{(40,1),(44,1),(80,1)}
        60:{1,4,6,7}:{(41,1),(42,1),(80,1)}
        61:{1,2,5,6,7}:{(42,1),(79,1),(82,1),(83,1)}
        62:{1,3,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1)}
        63:{1,2,5,6}:{(44,1),(46,1),(83,1)}
        64:{1,2,4,6,7}:{(45,1),(46,1),(83,1),(85,1),(118,1)}
        65:{1,2,3,6}:{(46,1),(47,1)}
        66:{1,2,3,4,7}:{(47,1),(86,1),(118,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(87,1),(92,1)}
        68:{1,3,5,6}:{(48,1),(50,1),(87,1),(88,1)}
        69:{1,3,4,6,7}:{(49,1),(50,1),(87,1),(89,1),(101,1),(130,1)}
        70:{2,3,4,6}:{(50,1),(51,1),(88,1),(90,1)}
        71:{1,3,4,5,7}:{(51,1),(90,1),(91,1),(120,1),(143,1),(144,1)}
        72:{1,3,4,5,7}:{(52,1),(53,1),(87,1),(92,1)}
        73:{2,4,5,6}:{(52,1),(88,1),(92,1),(93,1)}
        74:{2,4,6,7}:{(53,1),(54,1),(92,1),(94,1)}
        75:{1,3,5,6,7}:{(54,1),(94,1),(95,1),(120,1),(127,1)}
        76:{2,3,4,5,7}:{(55,1),(56,1),(58,1),(92,1),(96,1),(128,1)}
        77:{1,3,4,5,6}:{(55,1),(59,1),(93,1),(96,1),(97,1),(100,1),(126,1)}
        78:{1,3,4,6,7}:{(56,1),(57,1),(60,1),(94,1),(96,1),(98,1),(101,1),(127,1)}
        79:{2,5,6,7}:{(57,1),(98,1)}
        80:{1,4,5,7}:{(58,1),(59,1),(60,1),(62,1)}
        81:{1,2,4,5,6}:{(59,1),(63,1),(97,1),(99,1),(100,1),(103,1)}
        82:{1,2,4,6,7}:{(60,1),(61,1),(98,1),(99,1),(101,1)}
        83:{1,2,5,7}:{(62,1),(63,1),(64,1)}
        84:{1,2,3,5,6}:{(63,1),(65,1),(100,1),(102,1),(103,1),(104,1)}
        85:{1,2,3,6,7}:{(64,1),(65,1),(101,1),(102,1)}
        86:{1,2,3,4,6}:{(65,1),(66,1),(103,1),(104,1)}
        87:{1,3,5,7}:{(67,1),(68,1),(69,1),(105,1)}
        88:{2,3,5,6}:{(68,1),(70,1),(73,1),(105,1),(106,1)}
        89:{2,3,4,6,7}:{(69,1),(70,1),(74,1),(105,1),(107,1),(115,1),(138,1)}
        90:{1,3,4,6}:{(70,1),(71,1),(106,1),(108,1)}
        91:{1,2,4,5,7}:{(71,1),(108,1),(109,1),(132,1),(145,1),(146,1)}
        92:{2,4,5,7}:{(72,1),(73,1),(74,1),(105,1),(110,1)}
        93:{1,4,5,6}:{(73,1),(106,1),(110,1)}
        94:{1,4,6,7}:{(74,1),(75,1),(110,1)}
        95:{1,2,5,6,7}:{(75,1),(79,1),(112,1),(132,1)}
        96:{1,3,4,5,7}:{(76,1),(77,1),(78,1),(80,1),(110,1),(113,1),(116,1),(136,1)}
        97:{2,4,5,6}:{(77,1),(113,1),(114,1)}
        98:{2,4,6,7}:{(78,1),(79,1),(113,1),(115,1)}
        99:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(113,1),(116,1),(118,1)}
       100:{1,3,5,6}:{(81,1),(114,1),(116,1),(117,1)}
       101:{1,3,6,7}:{(82,1),(115,1),(116,1)}
       102:{1,2,3,5,7}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,4,6}:{(84,1),(117,1),(118,1),(119,1)}
       104:{1,2,3,5}:{(86,1),(119,1)}
       105:{2,3,5,7}:{(87,1),(88,1),(89,1),(92,1),(120,1)}
       106:{1,3,5,6}:{(88,1),(90,1),(93,1),(120,1),(121,1)}
       107:{1,3,4,6,7}:{(89,1),(90,1),(94,1),(120,1),(122,1),(127,1),(143,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(121,1),(123,1)}
       109:{1,2,3,5,7}:{(91,1),(123,1),(124,1),(142,1)}
       110:{1,4,5,7}:{(92,1),(93,1),(94,1),(120,1)}
       111:{1,2,4,5,6}:{(93,1),(97,1),(121,1),(125,1),(126,1),(141,1)}
       112:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(125,1),(127,1)}
       113:{2,4,5,7}:{(96,1),(97,1),(98,1),(128,1)}
       114:{2,3,5,6}:{(97,1),(100,1),(126,1),(128,1),(129,1)}
       115:{2,3,6,7}:{(98,1),(101,1),(127,1),(128,1)}
       116:{1,3,5,7}:{(99,1),(100,1),(101,1),(128,1),(130,1)}
       117:{1,3,4,6}:{(100,1),(103,1),(129,1),(130,1),(131,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(130,1)}
       119:{1,2,4,5}:{(103,1),(104,1),(131,1)}
       120:{1,3,5,7}:{(105,1),(106,1),(107,1),(110,1),(132,1)}
       121:{1,2,5,6}:{(106,1),(108,1),(132,1)}
       122:{1,2,4,6,7}:{(107,1),(108,1),(132,1),(134,1),(145,1)}
       123:{1,2,3,6}:{(108,1),(109,1)}
       124:{1,2,3,4,7}:{(109,1),(135,1),(145,1)}
       125:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(113,1),(132,1),(136,1),(145,1)}
       126:{1,3,5,6}:{(111,1),(114,1),(136,1),(137,1)}
       127:{1,3,6,7}:{(112,1),(115,1),(136,1)}
       128:{2,3,5,7}:{(113,1),(114,1),(115,1),(116,1),(136,1),(138,1)}
       129:{2,3,4,6}:{(114,1),(117,1),(137,1),(138,1),(139,1)}
       130:{1,3,4,7}:{(116,1),(117,1),(118,1),(138,1)}
       131:{1,3,4,5}:{(117,1),(119,1),(139,1)}
       132:{1,2,5,7}:{(120,1),(121,1),(122,1)}
       133:{1,2,3,5,6}:{(121,1),(123,1),(126,1),(140,1),(141,1),(142,1)}
       134:{1,2,3,6,7}:{(122,1),(123,1),(127,1),(140,1)}
       135:{1,2,3,4,6}:{(123,1),(124,1),(141,1),(142,1)}
       136:{1,3,5,7}:{(125,1),(126,1),(127,1),(128,1),(143,1)}
       137:{1,3,4,6}:{(126,1),(129,1),(141,1),(143,1),(144,1)}
       138:{2,3,4,7}:{(128,1),(129,1),(130,1),(143,1)}
       139:{2,3,4,5}:{(129,1),(131,1),(144,1)}
       140:{1,2,3,5,7}:{(132,1),(133,1),(134,1),(136,1),(145,1)}
       141:{1,2,4,6}:{(133,1),(137,1),(145,1),(146,1)}
       142:{1,2,3,5}:{(135,1),(146,1)}
       143:{1,3,4,7}:{(136,1),(137,1),(138,1),(145,1)}
       144:{1,3,4,5}:{(137,1),(139,1),(146,1)}
       145:{1,2,4,7}:{(140,1),(141,1),(143,1)}
       146:{1,2,4,5}:{(141,1),(142,1),(144,1)}

3010 :   0:{1,2,3,4,6}:{(2,1),(3,1),(17,1),(18,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(26,1),(90,1)}
         2:{1,2,3,4,7}:{(0,1),(7,1),(34,1)}
         3:{1,2,3,5}:{(0,1),(8,1)}
         4:{1,3,4,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(80,1),(96,1),(99,1)}
         5:{2,3,4,5,7}:{(1,1),(10,1),(12,1),(45,1),(101,1)}
         6:{1,2,4,5,6}:{(11,1),(14,1),(15,1),(18,1),(50,1),(80,1)}
         7:{1,2,3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,4,5}:{(3,1),(13,1),(18,1)}
         9:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(19,1),(50,1)}
        10:{2,3,4,6,7}:{(5,1),(23,1),(24,1),(62,1),(91,1)}
        11:{2,4,5,6}:{(4,1),(26,1),(27,1)}
        12:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(31,1),(58,1),(93,1),(103,1),(104,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(30,1)}
        14:{1,3,5,6}:{(6,1),(26,1),(30,1),(31,1)}
        15:{1,2,4,5,7}:{(6,1),(27,1),(29,1),(31,1),(34,1),(67,1),(93,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(28,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,6}:{(7,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(34,1)}
        19:{1,2,3,5,7}:{(9,1),(31,1),(33,1),(34,1),(67,1)}
        20:{1,2,3,4,6}:{(35,1),(36,1),(69,1),(70,1)}
        21:{1,2,4,5,6}:{(11,1),(38,1),(39,1),(70,1),(94,1),(96,1)}
        22:{3,4,5,6,7}:{(40,1),(100,1)}
        23:{2,3,5,6,7}:{(10,1),(40,1),(41,1)}
        24:{1,3,4,6,7}:{(10,1),(12,1),(41,1),(43,1),(48,1),(74,1),(81,1),(97,1),(100,1)}
        25:{2,3,4,5}:{(13,1),(37,1),(44,1)}
        26:{2,3,5,6}:{(11,1),(14,1),(38,1),(44,1),(45,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(43,1),(45,1)}
        28:{1,3,4,5,7}:{(13,1),(16,1),(42,1),(47,1),(49,1),(82,1)}
        29:{1,2,4,6,7}:{(15,1),(43,1),(46,1),(48,1),(81,1)}
        30:{1,3,4,6}:{(13,1),(14,1),(18,1),(44,1),(49,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(45,1),(48,1),(49,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(50,1)}
        33:{1,2,3,6,7}:{(17,1),(19,1),(48,1),(51,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1)}
        35:{1,2,3,4,7}:{(20,1),(52,1),(85,1)}
        36:{1,2,3,5}:{(20,1),(53,1)}
        37:{1,3,4,5}:{(25,1),(53,1),(57,1)}
        38:{1,3,5,6}:{(21,1),(26,1),(57,1),(58,1)}
        39:{1,2,4,5,7}:{(21,1),(27,1),(56,1),(58,1),(85,1),(102,1),(103,1)}
        40:{2,4,5,6,7}:{(22,1),(23,1),(59,1),(91,1)}
        41:{1,3,5,6,7}:{(23,1),(24,1),(59,1),(60,1),(89,1)}
        42:{2,3,4,5,7}:{(25,1),(28,1),(55,1),(61,1),(63,1),(92,1)}
        43:{2,4,6,7}:{(24,1),(27,1),(60,1),(62,1)}
        44:{2,3,4,6}:{(25,1),(26,1),(30,1),(57,1),(63,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(31,1),(58,1),(62,1),(63,1)}
        46:{1,2,5,6,7}:{(29,1),(60,1),(64,1),(67,1)}
        47:{1,3,4,6}:{(28,1),(32,1),(61,1),(65,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(62,1)}
        49:{1,3,4,7}:{(30,1),(31,1),(34,1),(63,1)}
        50:{1,2,5,6}:{(32,1),(65,1),(67,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(66,1),(67,1)}
        52:{1,2,3,5,7}:{(35,1),(36,1),(68,1),(69,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(70,1)}
        54:{1,2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1),(94,1)}
        55:{1,3,4,5,7}:{(37,1),(42,1),(68,1),(73,1),(75,1),(98,1)}
        56:{1,2,4,6,7}:{(39,1),(43,1),(72,1),(74,1),(97,1)}
        57:{1,3,4,6}:{(37,1),(38,1),(44,1),(70,1),(75,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(45,1),(74,1),(75,1)}
        59:{1,4,5,6,7}:{(40,1),(41,1),(76,1),(81,1),(97,1)}
        60:{2,5,6,7}:{(41,1),(43,1)}
        61:{2,3,4,6}:{(42,1),(47,1),(73,1),(78,1)}
        62:{2,3,6,7}:{(43,1),(45,1),(48,1),(74,1)}
        63:{2,3,4,7}:{(44,1),(45,1),(49,1),(75,1)}
        64:{1,3,5,6,7}:{(46,1),(48,1),(77,1),(81,1),(82,1)}
        65:{1,3,5,6}:{(47,1),(50,1),(78,1),(80,1),(82,1)}
        66:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(79,1),(81,1),(82,1)}
        67:{1,2,5,7}:{(50,1),(51,1),(82,1)}
        68:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(83,1),(85,1),(102,1)}
        69:{1,2,3,6}:{(52,1),(83,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(57,1),(85,1)}
        71:{1,2,3,5,7}:{(54,1),(58,1),(84,1),(85,1),(102,1)}
        72:{1,2,5,6,7}:{(56,1),(60,1),(86,1),(102,1)}
        73:{1,3,4,6}:{(55,1),(61,1),(83,1),(87,1)}
        74:{1,3,6,7}:{(56,1),(58,1),(62,1)}
        75:{1,3,4,7}:{(57,1),(58,1),(63,1),(85,1)}
        76:{2,4,5,6,7}:{(59,1),(60,1),(89,1),(91,1)}
        77:{2,3,5,6,7}:{(60,1),(62,1),(64,1),(86,1),(89,1),(91,1),(92,1)}
        78:{2,3,5,6}:{(61,1),(65,1),(87,1),(90,1),(92,1)}
        79:{2,3,4,6,7}:{(61,1),(62,1),(63,1),(66,1),(88,1),(91,1),(92,1)}
        80:{1,4,5,6}:{(65,1),(90,1),(93,1)}
        81:{1,4,6,7}:{(64,1),(91,1),(93,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(73,1),(94,1)}
        84:{1,2,3,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        85:{1,2,4,7}:{(70,1),(71,1),(75,1)}
        86:{1,3,5,6,7}:{(72,1),(74,1),(77,1),(97,1),(98,1)}
        87:{1,3,5,6}:{(73,1),(78,1),(94,1),(96,1),(98,1)}
        88:{1,3,4,6,7}:{(73,1),(74,1),(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{3,5,6,7}:{(76,1),(100,1)}
        90:{2,4,5,6}:{(78,1),(80,1),(96,1),(99,1),(101,1)}
        91:{2,4,6,7}:{(77,1),(81,1),(97,1),(100,1),(101,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(82,1),(98,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(87,1),(102,1)}
        95:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(88,1),(102,1)}
        96:{1,4,5,6}:{(87,1),(90,1),(103,1)}
        97:{1,4,6,7}:{(86,1),(91,1),(103,1)}
        98:{1,3,5,7}:{(87,1),(88,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,6}:{(90,1),(104,1)}
       100:{3,4,6,7}:{(89,1),(91,1),(104,1)}
       101:{2,4,5,7}:{(90,1),(91,1),(92,1),(93,1),(103,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(98,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(101,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

3011 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

3012 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,5,6,7}:{(13,1),(24,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(25,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(25,1),(26,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(25,1),(27,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(30,1)}
       26:{1,2,3,6,7}:{(21,1),(30,1)}
       27:{1,3,4,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,3,5,6,7}:{(23,1),(24,1),(31,1),(32,1)}
       29:{1,4,5,6,7}:{(24,1),(32,1)}
       30:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(33,1)}
       31:{1,3,5,6,7}:{(27,1),(28,1),(33,1),(34,1)}
       32:{2,4,5,6,7}:{(28,1),(29,1),(34,1),(35,1)}
       33:{1,2,5,6,7}:{(30,1),(31,1)}
       34:{1,4,5,6,7}:{(31,1),(32,1)}
       35:{3,4,5,6,7}:{(32,1)}

3013 :   0:{1,3,4,5,6,7}:{(1,1),(10,1),(28,1),(61,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(42,1),(80,1)}
         2:{2,3,4,5,6}:{(6,1),(7,1),(44,1),(48,1),(80,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(41,1),(55,1),(75,1),(81,1),(111,1),(131,1),(135,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(96,1)}
         5:{1,4,5,6,7}:{(1,1),(10,1),(59,1),(99,1)}
         6:{2,3,4,5,7}:{(2,1),(9,1),(12,1),(60,1),(63,1)}
         7:{1,3,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(66,1),(99,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(59,1),(72,1),(94,1),(101,1),(128,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(42,1),(75,1),(87,1)}
        10:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(17,1),(112,1)}
        11:{1,2,4,5,6,7}:{(5,1),(17,1),(18,1),(24,1),(39,1),(42,1),(79,1),(111,1),(114,1)}
        12:{1,3,4,5,7}:{(6,1),(7,1),(16,1),(20,1),(45,1),(79,1)}
        13:{2,4,5,6}:{(7,1),(20,1),(21,1),(85,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(115,1),(135,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(79,1),(111,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(56,1),(59,1),(106,1)}
        17:{2,5,6,7}:{(10,1),(25,1),(124,1)}
        18:{1,3,5,6,7}:{(11,1),(27,1),(28,1),(38,1),(56,1),(95,1),(126,1)}
        19:{1,2,4,5,6}:{(13,1),(29,1),(30,1),(64,1),(70,1),(99,1),(102,1),(108,1),(124,1),(128,1)}
        20:{2,4,5,7}:{(12,1),(13,1),(25,1),(31,1)}
        21:{2,3,5,6}:{(13,1),(30,1),(31,1),(32,1),(104,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(94,1),(103,1),(129,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(99,1),(124,1),(128,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(119,1)}
        26:{1,2,5,6,7}:{(17,1),(39,1),(41,1),(92,1),(111,1),(131,1)}
        27:{2,3,5,6,7}:{(17,1),(18,1),(40,1),(41,1),(42,1),(55,1),(75,1),(77,1),(111,1),(133,1)}
        28:{1,3,4,6,7}:{(18,1),(42,1),(43,1),(52,1),(134,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(39,1),(45,1),(79,1),(84,1),(111,1)}
        30:{1,3,5,6}:{(19,1),(21,1),(44,1),(45,1),(46,1),(89,1),(116,1),(120,1),(135,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(40,1),(45,1),(47,1)}
        32:{2,3,4,6}:{(21,1),(46,1),(47,1),(48,1)}
        33:{1,2,3,5,6}:{(44,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(75,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(111,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(135,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(56,1),(59,1),(94,1),(108,1),(128,1)}
        40:{2,3,6,7}:{(25,1),(31,1),(56,1),(129,1)}
        41:{1,3,5,6,7}:{(26,1),(27,1),(56,1),(59,1),(74,1),(95,1),(137,1)}
        42:{2,4,6,7}:{(27,1),(28,1),(59,1),(60,1),(72,1),(138,1)}
        43:{1,3,4,5,7}:{(28,1),(60,1),(61,1),(95,1)}
        44:{2,3,5,6}:{(30,1),(63,1),(64,1),(104,1),(124,1),(129,1)}
        45:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(63,1),(65,1)}
        46:{1,3,4,6}:{(30,1),(32,1),(64,1),(65,1),(66,1)}
        47:{2,3,4,7}:{(31,1),(32,1),(65,1)}
        48:{2,3,4,5}:{(32,1),(66,1),(104,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(63,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(64,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(94,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(124,1),(129,1)}
        56:{1,3,6,7}:{(39,1),(40,1),(45,1),(75,1),(120,1),(135,1)}
        57:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(76,1),(77,1),(87,1)}
        58:{1,2,3,5,6,7}:{(41,1),(49,1),(75,1),(78,1),(92,1),(111,1),(113,1),(120,1),(133,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(79,1),(91,1),(139,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(77,1),(79,1),(80,1),(111,1)}
        61:{1,3,4,5,6}:{(43,1),(52,1),(80,1),(112,1),(134,1)}
        62:{1,2,3,5,6}:{(44,1),(81,1),(82,1),(116,1),(131,1),(135,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(75,1),(84,1),(111,1)}
        64:{2,4,6}:{(44,1),(46,1),(84,1),(85,1)}
        65:{1,3,4,7}:{(45,1),(46,1),(47,1),(84,1)}
        66:{1,3,4,5}:{(46,1),(48,1),(85,1),(89,1),(116,1)}
        67:{2,3,4,5,7}:{(47,1),(48,1),(51,1),(77,1),(86,1),(87,1),(118,1),(132,1)}
        68:{1,3,4,6}:{(50,1),(83,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(84,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(85,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(111,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{2,3,6,7}:{(56,1),(63,1),(94,1),(129,1)}
        76:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(65,1),(94,1),(95,1),(106,1)}
        77:{2,3,5,7}:{(57,1),(60,1),(95,1),(96,1)}
        78:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(94,1),(97,1),(98,1),(108,1),(138,1)}
        79:{1,4,5,7}:{(59,1),(60,1),(95,1),(99,1)}
        80:{2,4,5,6}:{(60,1),(61,1),(72,1),(96,1),(99,1),(124,1),(138,1)}
        81:{1,2,3,5,7}:{(62,1),(63,1),(93,1),(101,1),(122,1),(127,1)}
        82:{1,2,4,6}:{(62,1),(64,1),(100,1),(101,1),(102,1)}
        83:{2,3,4,6}:{(64,1),(68,1),(100,1),(103,1),(104,1),(129,1)}
        84:{2,4,7}:{(63,1),(64,1),(65,1)}
        85:{2,4,5}:{(64,1),(66,1),(104,1)}
        86:{1,3,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(95,1),(105,1),(106,1),(107,1),(127,1),(136,1)}
        87:{2,3,4,6}:{(67,1),(72,1),(96,1),(106,1),(129,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(103,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(104,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(105,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(124,1)}
        93:{1,2,3,6,7}:{(75,1),(81,1),(109,1),(135,1)}
        94:{2,4,6,7}:{(75,1),(76,1),(84,1),(111,1),(119,1)}
        95:{1,3,5,7}:{(76,1),(77,1),(79,1),(111,1),(112,1)}
        96:{2,3,5,6}:{(77,1),(80,1),(87,1),(112,1)}
        97:{1,3,4,6,7}:{(78,1),(88,1),(110,1),(113,1),(120,1),(134,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1),(132,1)}
        99:{1,4,5,6}:{(79,1),(80,1),(91,1),(112,1),(139,1)}
       100:{1,3,4,6}:{(82,1),(83,1),(115,1),(116,1),(135,1)}
       101:{1,2,4,7}:{(81,1),(82,1),(84,1),(115,1)}
       102:{1,2,4,5}:{(82,1),(85,1),(116,1)}
       103:{2,3,4,7}:{(83,1),(84,1),(88,1),(115,1),(118,1)}
       104:{2,3,5}:{(83,1),(85,1),(89,1),(116,1)}
       105:{2,4,5,7}:{(84,1),(85,1),(86,1),(111,1),(118,1),(119,1)}
       106:{1,3,4,6}:{(86,1),(87,1),(91,1),(112,1),(119,1),(120,1),(135,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(118,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(119,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(101,1),(121,1),(122,1),(128,1)}
       110:{2,3,4,6,7}:{(94,1),(97,1),(103,1),(121,1),(123,1),(129,1),(138,1)}
       111:{2,5,7}:{(94,1),(95,1),(124,1)}
       112:{1,3,5,6}:{(95,1),(96,1),(99,1),(106,1),(124,1)}
       113:{1,3,5,7}:{(97,1),(98,1),(123,1),(126,1)}
       114:{1,2,4,5,6}:{(98,1),(99,1),(108,1),(124,1),(126,1),(138,1)}
       115:{1,3,4,7}:{(100,1),(101,1),(103,1),(127,1)}
       116:{1,3,5}:{(100,1),(102,1),(104,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(105,1),(122,1),(127,1),(128,1),(136,1)}
       118:{2,3,5,7}:{(103,1),(104,1),(105,1),(107,1),(127,1),(129,1)}
       119:{2,4,6}:{(105,1),(106,1),(124,1),(129,1)}
       120:{1,3,6}:{(107,1),(108,1),(129,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(115,1),(130,1),(135,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(111,1),(130,1),(131,1)}
       123:{2,3,5,7}:{(110,1),(111,1),(113,1),(130,1),(132,1),(133,1)}
       124:{2,5,6}:{(111,1),(112,1),(119,1)}
       125:{1,3,4,5,7}:{(113,1),(132,1),(134,1)}
       126:{1,3,5,6}:{(113,1),(114,1),(120,1),(133,1),(134,1)}
       127:{1,3,5,7}:{(115,1),(116,1),(117,1),(118,1),(135,1)}
       128:{1,2,4,6}:{(117,1),(119,1),(131,1),(135,1),(139,1)}
       129:{2,3,6}:{(118,1),(119,1),(120,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(123,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(128,1),(137,1)}
       132:{2,4,5,7}:{(123,1),(125,1),(136,1),(138,1)}
       133:{2,3,5,6}:{(123,1),(124,1),(126,1),(129,1),(137,1),(138,1)}
       134:{1,3,4,6}:{(125,1),(126,1),(138,1)}
       135:{1,3,6}:{(127,1),(128,1),(129,1)}
       136:{1,4,5,7}:{(130,1),(132,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(133,1),(135,1),(139,1)}
       138:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

3014 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(43,1),(45,1),(82,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(28,1),(63,1),(102,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(70,1),(94,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(82,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(17,1),(41,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(17,1),(19,1),(84,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(51,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(50,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(102,1)}
        17:{2,4,5,7}:{(10,1),(11,1),(25,1),(27,1)}
        18:{1,2,4,5,6}:{(11,1),(26,1),(28,1),(62,1),(72,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(103,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(70,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(70,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(17,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(41,1),(80,1),(86,1),(114,1)}
        27:{2,3,5,7}:{(17,1),(19,1),(40,1),(41,1),(42,1)}
        28:{1,3,5,6}:{(18,1),(19,1),(41,1),(43,1),(44,1),(91,1),(112,1),(120,1),(132,1)}
        29:{2,3,4,6}:{(19,1),(42,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(51,1),(135,1)}
        33:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        34:{1,2,3,5,6}:{(43,1),(49,1),(52,1),(91,1),(92,1),(120,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(90,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(50,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(51,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(27,1),(57,1),(127,1)}
        41:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(60,1)}
        42:{2,3,4,7}:{(27,1),(29,1),(60,1)}
        43:{2,3,5,6}:{(28,1),(59,1),(62,1),(103,1),(126,1),(127,1)}
        44:{1,3,4,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        45:{2,3,4,5}:{(29,1),(63,1),(103,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(70,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(34,1),(35,1),(59,1),(68,1),(73,1),(107,1)}
        50:{2,4,5,7}:{(33,1),(37,1),(69,1),(70,1)}
        51:{1,3,4,6}:{(33,1),(38,1),(70,1)}
        52:{1,2,4,6}:{(34,1),(62,1),(68,1),(71,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(68,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(69,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(70,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(43,1),(75,1),(76,1),(112,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(41,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(42,1),(47,1),(78,1),(79,1),(82,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(77,1),(80,1),(114,1)}
        60:{1,3,4,7}:{(41,1),(42,1),(44,1),(80,1)}
        61:{2,3,4,5,7}:{(42,1),(45,1),(50,1),(79,1),(81,1),(82,1),(116,1),(133,1)}
        62:{2,4,6}:{(43,1),(44,1),(80,1),(84,1)}
        63:{1,3,4,5}:{(44,1),(45,1),(84,1),(91,1),(112,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(90,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(51,1),(87,1),(115,1),(135,1)}
        68:{1,2,4,7}:{(49,1),(52,1),(80,1),(88,1)}
        69:{1,4,5,7}:{(50,1),(54,1),(90,1)}
        70:{2,4,6}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,3,4,6}:{(52,1),(83,1),(88,1),(91,1),(120,1)}
        72:{1,2,4,5}:{(52,1),(84,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(90,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(94,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(62,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(60,1),(65,1),(97,1),(98,1),(102,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,4,7}:{(59,1),(60,1),(62,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(63,1),(69,1),(98,1),(101,1),(102,1),(107,1),(123,1),(136,1)}
        82:{2,3,4,6}:{(61,1),(70,1),(99,1),(102,1),(127,1),(138,1)}
        83:{2,3,4,6}:{(62,1),(71,1),(95,1),(100,1),(103,1),(127,1)}
        84:{2,4,5}:{(62,1),(63,1),(103,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(70,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(71,1),(100,1),(107,1)}
        89:{1,2,4,5,7}:{(68,1),(69,1),(72,1),(73,1),(101,1),(107,1),(108,1)}
        90:{1,4,6}:{(69,1),(70,1),(74,1)}
        91:{1,3,5}:{(71,1),(72,1),(103,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(80,1),(110,1)}
        95:{1,3,4,6}:{(76,1),(83,1),(110,1),(112,1),(132,1)}
        96:{1,2,4,5}:{(76,1),(84,1),(112,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(80,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(82,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(83,1),(88,1),(110,1),(116,1)}
       101:{2,4,5,7}:{(80,1),(81,1),(84,1),(114,1),(116,1),(117,1)}
       102:{1,3,4,6}:{(81,1),(82,1),(90,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       103:{2,3,5}:{(83,1),(84,1),(91,1),(112,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(90,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(91,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(89,1),(90,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,2,4,5,7}:{(94,1),(96,1),(101,1),(122,1),(123,1),(124,1),(136,1)}
       112:{1,3,5}:{(95,1),(96,1),(103,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(102,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(103,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(101,1),(102,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(111,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

3015 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(30,1),(41,1),(85,1),(86,1),(90,1),(91,1),(102,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(25,1),(43,1),(55,1),(74,1),(79,1),(104,1)}
         2:{1,3,4,6,7}:{(1,1),(4,1),(5,1),(15,1),(58,1),(86,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(14,1),(68,1),(90,1)}
         4:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(25,1),(45,1),(78,1),(79,1)}
         5:{1,3,5,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(51,1),(74,1),(76,1)}
         7:{1,3,4,5,7}:{(5,1),(14,1),(15,1)}
         8:{1,2,3,6,7}:{(13,1),(16,1),(69,1),(91,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(36,1),(38,1),(69,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(14,1),(17,1),(18,1),(90,1)}
        11:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(86,1)}
        12:{1,2,4,5,6,7}:{(6,1),(19,1),(39,1),(68,1),(87,1),(90,1)}
        13:{1,2,3,5,7}:{(8,1),(21,1),(23,1),(27,1),(53,1),(99,1)}
        14:{2,4,5,7}:{(7,1),(10,1),(24,1),(25,1)}
        15:{1,3,4,6}:{(7,1),(11,1),(25,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(23,1),(27,1),(54,1),(79,1)}
        17:{1,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(28,1)}
        18:{2,3,5,6}:{(10,1),(11,1),(25,1),(28,1),(76,1),(78,1)}
        19:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(29,1),(77,1),(97,1)}
        20:{2,3,4,5,7}:{(14,1),(31,1),(32,1),(62,1),(63,1),(88,1),(103,1)}
        21:{1,2,3,5,6}:{(13,1),(33,1),(40,1),(66,1),(69,1),(89,1)}
        22:{1,3,4,5,6}:{(15,1),(34,1),(35,1),(61,1),(92,1)}
        23:{1,2,4,7}:{(13,1),(33,1),(36,1),(103,1)}
        24:{1,4,5,7}:{(14,1),(17,1),(38,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(38,1)}
        26:{1,3,4,6,7}:{(15,1),(19,1),(35,1),(39,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(40,1),(90,1)}
        28:{1,3,5,6}:{(17,1),(18,1),(38,1),(40,1),(69,1)}
        29:{2,3,5,6,7}:{(18,1),(19,1),(39,1),(41,1),(62,1),(90,1),(91,1)}
        30:{1,2,3,5,7}:{(42,1),(43,1),(72,1),(73,1)}
        31:{1,3,4,5,7}:{(20,1),(24,1),(46,1),(47,1),(53,1),(73,1),(77,1),(80,1),(94,1),(100,1),(104,1)}
        32:{2,3,4,6}:{(20,1),(25,1),(44,1),(47,1),(78,1),(98,1)}
        33:{1,2,4,6}:{(21,1),(23,1),(49,1),(50,1),(98,1)}
        34:{2,4,5,6}:{(22,1),(25,1),(44,1),(51,1),(52,1),(76,1),(98,1)}
        35:{1,3,4,5,7}:{(22,1),(26,1),(52,1),(77,1),(100,1)}
        36:{1,3,4,7}:{(23,1),(45,1),(49,1),(53,1)}
        37:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(46,1),(50,1),(53,1),(54,1)}
        38:{1,4,6}:{(24,1),(25,1),(28,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(29,1),(52,1),(55,1)}
        40:{1,2,5,6}:{(27,1),(28,1),(54,1),(76,1)}
        41:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(56,1),(77,1),(83,1)}
        42:{1,2,3,6}:{(30,1),(57,1),(86,1)}
        43:{1,2,4,7}:{(30,1),(57,1),(58,1)}
        44:{2,3,5,6}:{(32,1),(34,1),(61,1),(62,1)}
        45:{2,3,4,7}:{(36,1),(58,1),(60,1),(63,1),(103,1)}
        46:{2,4,5,7}:{(31,1),(63,1),(64,1),(88,1),(90,1),(103,1)}
        47:{1,3,4,6}:{(31,1),(32,1),(38,1),(61,1),(64,1),(69,1),(86,1),(101,1)}
        48:{2,3,4,6,7}:{(32,1),(39,1),(62,1),(65,1),(91,1),(103,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(60,1),(66,1),(69,1)}
        50:{1,2,4,5}:{(33,1),(66,1),(88,1)}
        51:{1,4,5,6}:{(34,1),(38,1),(61,1),(68,1),(101,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(39,1),(62,1),(68,1),(90,1),(103,1)}
        53:{1,3,5,7}:{(36,1),(37,1),(63,1),(66,1),(69,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(40,1),(64,1),(69,1)}
        55:{1,4,6,7}:{(38,1),(39,1),(41,1),(68,1)}
        56:{1,2,5,6,7}:{(40,1),(41,1),(70,1),(90,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(71,1),(72,1)}
        58:{1,3,4,7}:{(43,1),(45,1),(71,1),(73,1),(104,1)}
        59:{1,2,4,5,7}:{(43,1),(46,1),(72,1),(73,1),(74,1),(94,1),(96,1),(104,1)}
        60:{2,3,4,6}:{(45,1),(49,1),(71,1),(75,1),(78,1),(98,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(51,1),(76,1),(77,1)}
        62:{2,3,5,7}:{(44,1),(48,1),(52,1),(77,1)}
        63:{2,3,5,7}:{(45,1),(46,1),(53,1),(73,1),(75,1),(78,1)}
        64:{2,4,6}:{(46,1),(47,1),(76,1),(78,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(77,1),(79,1),(83,1),(97,1),(100,1),(104,1)}
        66:{1,3,5}:{(49,1),(50,1),(75,1)}
        67:{1,2,4,5,6}:{(50,1),(51,1),(54,1),(76,1),(81,1),(82,1),(98,1)}
        68:{1,4,5,7}:{(51,1),(52,1),(55,1),(77,1),(104,1)}
        69:{1,3,6}:{(53,1),(54,1),(78,1)}
        70:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(79,1),(82,1),(83,1)}
        71:{1,3,4,6}:{(57,1),(58,1),(60,1),(84,1),(86,1),(101,1)}
        72:{1,2,5}:{(57,1),(84,1)}
        73:{1,3,5,7}:{(58,1),(59,1),(63,1),(84,1),(86,1)}
        74:{1,2,4,6}:{(59,1),(64,1),(85,1),(86,1),(101,1)}
        75:{2,3,5}:{(60,1),(66,1),(84,1),(88,1)}
        76:{2,5,6}:{(61,1),(64,1),(90,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(69,1),(86,1)}
        79:{2,4,6,7}:{(64,1),(65,1),(90,1),(91,1),(103,1)}
        80:{1,3,4,5}:{(66,1),(88,1),(92,1)}
        81:{1,3,5,6}:{(66,1),(67,1),(69,1),(89,1),(92,1),(93,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(90,1),(93,1),(103,1)}
        83:{1,3,6,7}:{(69,1),(70,1),(91,1),(93,1)}
        84:{1,3,5}:{(71,1),(72,1),(75,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(74,1),(76,1),(95,1),(96,1)}
        86:{1,3,6}:{(73,1),(74,1),(78,1)}
        87:{1,2,4,6,7}:{(74,1),(79,1),(96,1),(97,1),(104,1)}
        88:{2,4,5}:{(75,1),(80,1),(94,1),(98,1)}
        89:{2,3,5,6}:{(75,1),(76,1),(78,1),(81,1),(95,1),(98,1),(99,1)}
        90:{2,5,7}:{(76,1),(77,1),(79,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(83,1),(97,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{1,4,5}:{(84,1),(88,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,7}:{(85,1),(87,1),(90,1),(102,1)}
        97:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        98:{2,4,6}:{(88,1),(89,1),(92,1),(101,1),(103,1)}
        99:{2,3,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,7}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,7}:{(101,1),(102,1),(103,1)}

3016 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(17,1),(20,1),(59,1),(61,1),(62,1),(84,1),(85,1),(86,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(27,1),(29,1),(47,1),(72,1),(75,1),(95,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(16,1),(39,1),(57,1),(61,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(19,1),(39,1),(61,1)}
         4:{1,3,4,6,7}:{(1,1),(7,1),(8,1),(18,1),(86,1),(87,1)}
         5:{1,3,5,6,7}:{(2,1),(9,1),(10,1),(12,1),(46,1),(71,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(29,1),(50,1),(72,1),(76,1)}
         7:{1,3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(14,1),(29,1),(47,1),(78,1),(79,1)}
         9:{1,3,4,6,7}:{(5,1),(15,1),(16,1),(18,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(20,1),(34,1),(61,1),(62,1)}
        11:{1,3,4,5,7}:{(7,1),(18,1),(19,1)}
        12:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(86,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(19,1),(20,1),(21,1),(61,1)}
        14:{1,3,4,6,7}:{(8,1),(21,1),(22,1),(41,1),(67,1),(68,1)}
        15:{1,3,4,5,7}:{(9,1),(25,1),(26,1),(46,1),(81,1)}
        16:{2,4,6,7}:{(9,1),(10,1),(26,1),(27,1),(29,1)}
        17:{1,3,5,6,7}:{(10,1),(27,1),(28,1),(31,1),(46,1),(52,1)}
        18:{1,3,4,6}:{(11,1),(12,1),(29,1)}
        19:{2,4,5,7}:{(11,1),(13,1),(29,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(76,1),(78,1)}
        21:{1,3,5,7}:{(13,1),(14,1),(30,1),(31,1),(32,1)}
        22:{1,2,4,6,7}:{(14,1),(32,1),(33,1),(47,1),(53,1),(56,1)}
        23:{2,3,4,6,7}:{(16,1),(34,1),(35,1),(36,1),(62,1),(90,1)}
        24:{2,3,4,5,7}:{(19,1),(34,1),(36,1),(37,1),(64,1),(90,1),(103,1)}
        25:{1,3,4,5,6}:{(15,1),(18,1),(38,1),(60,1),(92,1)}
        26:{2,4,5,7}:{(15,1),(16,1),(34,1),(38,1),(39,1),(61,1),(90,1)}
        27:{1,4,6,7}:{(16,1),(17,1),(39,1),(41,1)}
        28:{1,2,5,6,7}:{(17,1),(40,1),(43,1),(61,1)}
        29:{2,4,6}:{(18,1),(19,1),(20,1),(41,1)}
        30:{1,4,5,7}:{(19,1),(21,1),(41,1)}
        31:{1,3,5,6}:{(20,1),(21,1),(41,1),(43,1),(67,1)}
        32:{1,2,5,7}:{(21,1),(22,1),(43,1),(61,1)}
        33:{1,2,3,6,7}:{(22,1),(44,1),(62,1),(67,1)}
        34:{2,3,5,7}:{(23,1),(26,1),(45,1),(46,1)}
        35:{1,3,4,6,7}:{(23,1),(27,1),(46,1),(47,1),(48,1),(52,1),(71,1),(81,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(29,1),(45,1),(48,1),(78,1),(98,1)}
        37:{1,3,4,5,7}:{(24,1),(30,1),(46,1),(48,1),(49,1),(54,1),(73,1),(81,1),(95,1),(100,1),(104,1)}
        38:{2,4,5,6}:{(25,1),(26,1),(29,1),(45,1),(50,1),(76,1),(98,1)}
        39:{1,4,5,7}:{(26,1),(27,1),(46,1),(50,1),(95,1)}
        40:{1,2,4,6,7}:{(27,1),(28,1),(47,1),(51,1),(52,1),(53,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1)}
        42:{1,2,4,5,7}:{(30,1),(32,1),(49,1),(53,1),(54,1),(56,1),(83,1)}
        43:{1,2,5,6}:{(31,1),(32,1),(53,1),(76,1)}
        44:{1,2,3,5,7}:{(32,1),(33,1),(54,1),(55,1),(56,1),(77,1)}
        45:{2,3,5,6}:{(34,1),(36,1),(38,1),(60,1)}
        46:{1,3,5,7}:{(34,1),(35,1),(39,1),(60,1),(61,1)}
        47:{2,4,6,7}:{(35,1),(61,1),(62,1),(63,1),(90,1)}
        48:{1,3,4,6}:{(36,1),(37,1),(41,1),(60,1),(63,1),(67,1),(86,1),(101,1)}
        49:{2,4,5,7}:{(37,1),(61,1),(63,1),(64,1),(90,1),(103,1)}
        50:{1,4,5,6}:{(38,1),(39,1),(41,1),(60,1),(101,1)}
        51:{1,2,4,5,7}:{(39,1),(40,1),(61,1),(65,1),(66,1),(90,1)}
        52:{1,3,6,7}:{(40,1),(62,1),(66,1),(67,1)}
        53:{1,2,4,6}:{(41,1),(42,1),(43,1),(63,1),(67,1)}
        54:{1,3,5,7}:{(42,1),(64,1),(67,1),(68,1),(93,1)}
        55:{1,2,3,5,6}:{(43,1),(44,1),(67,1),(69,1),(89,1),(93,1)}
        56:{1,2,4,7}:{(44,1),(68,1),(69,1),(90,1)}
        57:{1,2,4,6,7}:{(47,1),(70,1),(71,1),(72,1),(95,1)}
        58:{1,2,4,5,7}:{(49,1),(70,1),(72,1),(73,1),(75,1),(95,1),(97,1),(104,1)}
        59:{1,2,3,5,7}:{(73,1),(74,1),(75,1),(97,1)}
        60:{1,3,5,6}:{(45,1),(46,1),(48,1),(50,1),(76,1)}
        61:{2,5,7}:{(46,1),(47,1),(76,1)}
        62:{2,3,6,7}:{(47,1),(52,1),(71,1),(77,1),(78,1)}
        63:{2,4,6}:{(48,1),(49,1),(76,1),(78,1)}
        64:{2,3,5,7}:{(49,1),(54,1),(73,1),(78,1),(79,1),(99,1)}
        65:{1,2,4,5,6}:{(50,1),(51,1),(53,1),(76,1),(80,1),(83,1),(98,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(77,1),(80,1),(81,1)}
        67:{1,3,6}:{(53,1),(54,1),(78,1)}
        68:{1,3,4,7}:{(54,1),(56,1),(79,1),(82,1)}
        69:{1,2,4,6}:{(55,1),(56,1),(82,1),(83,1),(98,1)}
        70:{1,2,5,7}:{(57,1),(61,1),(84,1),(85,1)}
        71:{1,3,6,7}:{(57,1),(62,1),(85,1),(86,1)}
        72:{1,2,4,6}:{(58,1),(63,1),(84,1),(86,1),(101,1)}
        73:{1,3,5,7}:{(58,1),(64,1),(86,1),(87,1),(102,1)}
        74:{1,2,3,6}:{(59,1),(86,1),(88,1)}
        75:{1,2,4,7}:{(59,1),(87,1),(88,1)}
        76:{2,5,6}:{(60,1),(61,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(66,1),(85,1),(89,1),(90,1)}
        78:{2,3,6}:{(63,1),(64,1),(67,1),(86,1)}
        79:{2,3,4,7}:{(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(65,1),(66,1),(67,1),(89,1),(92,1),(93,1)}
        81:{1,3,4,7}:{(66,1),(90,1),(92,1)}
        82:{1,3,4,6}:{(67,1),(68,1),(69,1),(91,1),(93,1)}
        83:{1,2,4,5}:{(69,1),(93,1),(103,1)}
        84:{1,2,5,6}:{(70,1),(72,1),(76,1),(94,1),(97,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(77,1),(94,1),(95,1)}
        86:{1,3,6}:{(72,1),(73,1),(78,1)}
        87:{1,3,4,7}:{(73,1),(75,1),(79,1),(95,1),(96,1)}
        88:{1,2,4,6}:{(74,1),(75,1),(96,1),(97,1)}
        89:{2,3,5,6}:{(76,1),(77,1),(78,1),(80,1),(94,1),(98,1),(99,1)}
        90:{2,4,7}:{(77,1),(81,1),(95,1),(98,1)}
        91:{2,3,4,6}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{1,3,4,6}:{(80,1),(81,1),(98,1),(100,1)}
        93:{1,3,5}:{(82,1),(83,1),(99,1)}
        94:{1,3,5,6}:{(84,1),(85,1),(86,1),(89,1),(101,1),(102,1)}
        95:{1,4,7}:{(85,1),(90,1),(101,1)}
        96:{1,3,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        97:{1,2,5}:{(88,1),(102,1)}
        98:{2,4,6}:{(89,1),(90,1),(92,1),(101,1),(103,1)}
        99:{2,3,5}:{(91,1),(93,1),(102,1),(103,1)}
       100:{1,3,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,4,6}:{(94,1),(95,1),(98,1),(104,1)}
       102:{1,3,5}:{(96,1),(97,1),(99,1),(104,1)}
       103:{2,4,5}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,5}:{(101,1),(102,1),(103,1)}

3017 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(17,1),(29,1),(94,1),(97,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(42,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(57,1),(97,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(75,1),(114,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(55,1),(77,1),(138,1),(139,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(59,1),(101,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(70,1),(97,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(47,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(46,1),(54,1),(88,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(114,1),(139,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(50,1)}
        19:{1,2,3,4,6,7}:{(12,1),(30,1),(36,1),(63,1),(68,1),(105,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(101,1),(133,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(70,1),(107,1),(129,1),(132,1)}
        29:{1,2,3,4,6}:{(41,1),(42,1),(74,1),(76,1)}
        30:{1,2,3,5,7}:{(19,1),(20,1),(44,1),(45,1),(122,1)}
        31:{1,2,4,5}:{(20,1),(46,1),(47,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(47,1),(48,1),(52,1),(87,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(49,1),(50,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(52,1)}
        36:{1,2,3,6,7}:{(23,1),(48,1),(53,1),(124,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(49,1),(52,1),(54,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(53,1),(54,1),(88,1),(90,1),(124,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(50,1),(54,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(51,1),(55,1),(139,1)}
        41:{1,2,3,4,7}:{(29,1),(56,1),(97,1)}
        42:{1,2,3,5}:{(29,1),(57,1)}
        43:{2,3,4,5,6}:{(33,1),(60,1),(61,1),(100,1),(130,1)}
        44:{1,2,4,5,7}:{(30,1),(31,1),(62,1),(63,1),(68,1)}
        45:{1,2,3,5,6}:{(30,1),(63,1),(104,1)}
        46:{1,3,4,5}:{(31,1),(59,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        48:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(108,1)}
        49:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        50:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        51:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        54:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        55:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(132,1),(133,1)}
        56:{1,2,3,5,7}:{(41,1),(42,1),(73,1),(74,1)}
        57:{1,2,4,5}:{(42,1),(75,1),(76,1)}
        58:{1,2,3,5,6}:{(42,1),(74,1),(76,1),(77,1),(111,1),(113,1)}
        59:{2,3,4,5}:{(46,1),(75,1),(79,1)}
        60:{1,3,4,5,6}:{(43,1),(49,1),(80,1),(81,1),(87,1),(113,1),(136,1)}
        61:{2,3,4,5,7}:{(43,1),(50,1),(81,1),(82,1),(119,1),(140,1)}
        62:{1,3,4,5,7}:{(44,1),(46,1),(78,1),(83,1),(88,1),(122,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(83,1)}
        64:{1,2,3,5,6,7}:{(45,1),(48,1),(85,1),(91,1),(122,1),(124,1),(141,1)}
        65:{1,3,4,5,6,7}:{(51,1),(86,1),(118,1),(142,1)}
        66:{1,3,4,6}:{(46,1),(47,1),(79,1),(87,1),(88,1)}
        67:{1,2,4,5,6}:{(47,1),(49,1),(52,1),(80,1),(87,1),(89,1)}
        68:{1,2,4,7}:{(47,1),(48,1),(88,1)}
        69:{1,4,5,7}:{(49,1),(50,1),(54,1),(90,1)}
        70:{2,4,6,7}:{(50,1),(51,1),(55,1),(90,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(54,1)}
        72:{1,3,5,6,7}:{(54,1),(55,1),(90,1),(91,1),(124,1)}
        73:{1,2,4,5,7}:{(56,1),(57,1),(92,1),(93,1),(97,1),(127,1)}
        74:{1,2,3,6}:{(56,1),(93,1)}
        75:{1,3,4,5}:{(57,1),(59,1),(95,1)}
        76:{1,2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
        77:{1,2,3,5,7}:{(58,1),(94,1),(97,1),(127,1),(128,1)}
        78:{2,3,4,5,7}:{(59,1),(62,1),(92,1),(98,1),(101,1),(131,1)}
        79:{2,3,4,6}:{(59,1),(66,1),(95,1),(100,1),(101,1)}
        80:{2,4,5,6}:{(60,1),(100,1),(102,1)}
        81:{1,3,4,5,7}:{(60,1),(61,1),(69,1),(102,1),(103,1),(108,1),(128,1),(143,1)}
        82:{2,3,4,6,7}:{(61,1),(70,1),(99,1),(103,1),(133,1),(145,1)}
        83:{1,3,4,6}:{(62,1),(63,1),(98,1),(104,1)}
        84:{1,2,4,5,6}:{(63,1),(104,1),(106,1),(130,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(68,1),(105,1),(106,1),(145,1)}
        86:{2,4,5,6,7}:{(65,1),(70,1),(99,1),(107,1),(132,1),(145,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(100,1),(108,1)}
        88:{1,3,4,7}:{(66,1),(68,1),(101,1),(108,1)}
        89:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(102,1),(108,1),(109,1)}
        90:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        91:{1,2,5,6,7}:{(71,1),(72,1),(109,1),(132,1)}
        92:{1,3,4,5,7}:{(73,1),(75,1),(78,1),(110,1),(114,1),(137,1)}
        93:{1,2,4,6}:{(73,1),(74,1),(110,1),(111,1)}
        94:{1,2,3,6,7}:{(74,1),(77,1),(112,1),(139,1)}
        95:{1,3,4,6}:{(75,1),(76,1),(79,1),(113,1),(114,1)}
        96:{1,2,4,5,6}:{(76,1),(80,1),(111,1),(113,1),(115,1),(136,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(114,1)}
        98:{2,3,4,6}:{(78,1),(83,1),(110,1),(116,1)}
        99:{2,3,5,6,7}:{(82,1),(86,1),(118,1)}
       100:{2,3,5,6}:{(79,1),(80,1),(87,1),(113,1),(119,1)}
       101:{2,3,4,7}:{(79,1),(88,1),(114,1),(119,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(119,1),(120,1)}
       103:{1,3,4,6,7}:{(81,1),(82,1),(90,1),(118,1),(120,1),(124,1),(139,1),(146,1)}
       104:{1,3,5,6}:{(83,1),(84,1),(116,1),(122,1)}
       105:{1,3,4,6,7}:{(83,1),(85,1),(88,1),(117,1),(122,1),(124,1)}
       106:{1,2,4,5,7}:{(84,1),(85,1),(122,1),(140,1)}
       107:{1,4,5,6,7}:{(86,1),(90,1),(118,1),(146,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(89,1),(119,1),(124,1)}
       109:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(120,1),(124,1)}
       110:{1,3,4,6}:{(92,1),(93,1),(98,1),(125,1)}
       111:{1,2,5,6}:{(93,1),(125,1),(127,1)}
       112:{1,2,4,6,7}:{(93,1),(94,1),(97,1),(126,1),(127,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(100,1),(128,1)}
       114:{1,3,4,7}:{(95,1),(97,1),(101,1),(128,1)}
       115:{1,2,4,5,7}:{(96,1),(97,1),(102,1),(127,1),(128,1),(129,1),(143,1)}
       116:{2,3,5,6}:{(98,1),(104,1),(125,1),(130,1),(131,1)}
       117:{2,3,4,6,7}:{(98,1),(101,1),(105,1),(126,1),(131,1),(133,1),(145,1)}
       118:{1,3,5,6,7}:{(99,1),(103,1),(107,1),(132,1)}
       119:{2,3,5,7}:{(100,1),(101,1),(102,1),(108,1),(128,1),(133,1)}
       120:{2,4,6,7}:{(102,1),(103,1),(132,1),(133,1)}
       121:{1,3,4,5,6}:{(104,1),(130,1),(134,1)}
       122:{1,3,5,7}:{(104,1),(105,1),(106,1),(131,1)}
       123:{1,2,4,5,6,7}:{(106,1),(107,1),(109,1),(132,1),(135,1),(145,1)}
       124:{1,3,6,7}:{(108,1),(109,1),(133,1)}
       125:{1,3,5,6}:{(110,1),(111,1),(116,1),(136,1),(137,1)}
       126:{1,3,4,6,7}:{(110,1),(112,1),(114,1),(117,1),(137,1),(139,1),(146,1)}
       127:{1,2,5,7}:{(111,1),(112,1),(137,1)}
       128:{1,3,5,7}:{(113,1),(114,1),(115,1),(119,1),(139,1)}
       129:{1,2,4,6,7}:{(115,1),(120,1),(138,1),(139,1),(146,1)}
       130:{2,4,5,6}:{(116,1),(121,1),(136,1),(140,1)}
       131:{2,3,5,7}:{(116,1),(117,1),(122,1),(137,1),(140,1)}
       132:{2,5,6,7}:{(118,1),(120,1)}
       133:{2,3,6,7}:{(119,1),(120,1),(124,1),(139,1)}
       134:{1,3,4,5,7}:{(121,1),(122,1),(140,1),(142,1)}
       135:{1,3,5,6,7}:{(122,1),(123,1),(124,1),(141,1),(142,1)}
       136:{1,4,5,6}:{(125,1),(130,1),(143,1)}
       137:{1,3,5,7}:{(125,1),(126,1),(127,1),(131,1),(143,1)}
       138:{1,2,5,6,7}:{(127,1),(129,1),(132,1),(144,1)}
       139:{1,3,6,7}:{(128,1),(129,1),(133,1)}
       140:{2,4,5,7}:{(130,1),(131,1),(134,1),(143,1),(145,1)}
       141:{2,3,5,6,7}:{(131,1),(132,1),(133,1),(135,1),(144,1),(145,1)}
       142:{1,3,4,6,7}:{(134,1),(135,1),(145,1)}
       143:{1,4,5,7}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,3,5,6,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,4,6,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,4,6,7}:{(143,1),(144,1),(145,1)}

3018 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(39,1),(96,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(31,1),(98,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(79,1),(98,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(47,1),(79,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(47,1)}
         6:{2,3,4,6,7}:{(1,1),(19,1),(20,1),(57,1),(86,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(20,1),(21,1),(24,1),(49,1),(89,1),(99,1),(101,1)}
         8:{2,4,5,6}:{(2,1),(21,1),(22,1)}
         9:{1,2,4,5,7}:{(3,1),(21,1),(23,1),(24,1),(27,1),(63,1),(89,1)}
        10:{1,3,5,6}:{(3,1),(22,1),(24,1),(25,1)}
        11:{1,2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(63,1)}
        12:{1,2,4,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,3,4,7}:{(5,1),(27,1),(29,1)}
        14:{1,2,3,5}:{(5,1),(28,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(33,1),(94,1),(103,1)}
        16:{1,2,3,5,6}:{(31,1),(32,1),(33,1),(35,1),(71,1),(94,1)}
        17:{1,2,3,4,6}:{(33,1),(34,1),(35,1),(71,1)}
        18:{3,4,5,6,7}:{(36,1),(95,1)}
        19:{2,3,5,6,7}:{(6,1),(36,1),(37,1)}
        20:{1,3,4,6,7}:{(6,1),(7,1),(37,1),(38,1),(42,1),(66,1),(76,1),(91,1),(95,1)}
        21:{2,4,5,7}:{(7,1),(8,1),(38,1),(39,1)}
        22:{2,3,5,6}:{(8,1),(10,1),(31,1),(39,1),(40,1)}
        23:{1,2,4,6,7}:{(9,1),(38,1),(41,1),(42,1),(76,1)}
        24:{1,3,5,7}:{(9,1),(10,1),(39,1),(42,1),(43,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(40,1),(43,1),(44,1)}
        26:{1,2,3,6,7}:{(11,1),(42,1),(45,1),(47,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1)}
        28:{1,2,4,5}:{(12,1),(14,1),(44,1)}
        29:{1,2,3,5,7}:{(13,1),(14,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(21,1),(48,1),(49,1),(52,1),(83,1),(99,1)}
        31:{1,3,5,6}:{(15,1),(22,1),(49,1),(50,1)}
        32:{1,2,3,5,7}:{(16,1),(49,1),(51,1),(52,1),(83,1)}
        33:{1,2,4,6}:{(16,1),(50,1),(52,1),(53,1)}
        34:{1,2,3,4,7}:{(17,1),(52,1),(54,1)}
        35:{1,2,3,5}:{(17,1),(53,1)}
        36:{2,4,5,6,7}:{(18,1),(19,1),(55,1),(86,1)}
        37:{1,3,5,6,7}:{(19,1),(20,1),(55,1),(56,1),(85,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(56,1),(57,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,3,4,6}:{(22,1),(25,1),(50,1),(58,1),(59,1)}
        41:{1,2,5,6,7}:{(23,1),(56,1),(60,1),(63,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(57,1)}
        43:{1,3,4,7}:{(24,1),(25,1),(27,1),(58,1)}
        44:{1,3,4,5}:{(25,1),(28,1),(59,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(61,1),(63,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(62,1),(63,1),(64,1)}
        47:{1,2,3,6}:{(29,1),(64,1)}
        48:{1,2,4,6,7}:{(30,1),(38,1),(65,1),(66,1),(91,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(39,1),(66,1),(67,1)}
        50:{1,3,4,6}:{(31,1),(33,1),(40,1),(67,1),(68,1)}
        51:{1,2,3,6,7}:{(32,1),(66,1),(69,1),(71,1)}
        52:{1,2,4,7}:{(32,1),(33,1),(67,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(68,1)}
        54:{1,2,3,5,7}:{(34,1),(35,1),(70,1),(71,1)}
        55:{1,4,5,6,7}:{(36,1),(37,1),(72,1),(76,1),(91,1)}
        56:{2,5,6,7}:{(37,1),(38,1)}
        57:{2,3,6,7}:{(38,1),(39,1),(42,1),(66,1)}
        58:{2,3,4,7}:{(39,1),(40,1),(43,1),(67,1)}
        59:{2,3,4,5}:{(40,1),(44,1),(68,1)}
        60:{1,3,5,6,7}:{(41,1),(42,1),(73,1),(76,1),(77,1)}
        61:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(74,1),(76,1),(77,1),(78,1)}
        62:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(75,1),(77,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(77,1),(79,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(78,1),(79,1)}
        65:{1,2,5,6,7}:{(48,1),(56,1),(80,1),(83,1)}
        66:{1,3,6,7}:{(48,1),(49,1),(57,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(52,1),(58,1)}
        68:{1,3,4,5}:{(50,1),(53,1),(59,1)}
        69:{1,2,4,6,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        70:{1,2,4,5,7}:{(52,1),(53,1),(54,1),(82,1),(83,1),(84,1)}
        71:{1,2,3,6}:{(54,1),(84,1)}
        72:{2,4,5,6,7}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,3,5,6,7}:{(56,1),(57,1),(60,1),(80,1),(85,1),(86,1),(87,1)}
        74:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(81,1),(86,1),(87,1),(88,1)}
        75:{2,3,4,5,7}:{(58,1),(59,1),(62,1),(82,1),(87,1),(88,1)}
        76:{1,4,6,7}:{(60,1),(86,1),(89,1)}
        77:{1,3,5,7}:{(61,1),(63,1),(87,1),(89,1),(90,1)}
        78:{1,3,4,6}:{(62,1),(64,1),(88,1),(90,1)}
        79:{1,2,5,6}:{(63,1),(64,1),(90,1)}
        80:{1,3,5,6,7}:{(65,1),(66,1),(73,1),(91,1),(92,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(69,1),(74,1),(91,1),(92,1),(93,1)}
        82:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(92,1),(93,1)}
        83:{1,2,5,7}:{(69,1),(92,1),(94,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(93,1),(94,1)}
        85:{3,5,6,7}:{(72,1),(95,1)}
        86:{2,4,6,7}:{(73,1),(76,1),(91,1),(95,1),(96,1)}
        87:{2,3,5,7}:{(74,1),(77,1),(92,1),(96,1),(97,1)}
        88:{2,3,4,6}:{(75,1),(78,1),(93,1),(97,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(96,1),(98,1)}
        90:{1,3,5,6}:{(77,1),(78,1),(79,1),(97,1),(98,1)}
        91:{1,4,6,7}:{(80,1),(86,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(83,1),(87,1),(99,1),(100,1)}
        93:{1,3,4,6}:{(82,1),(84,1),(88,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(100,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(101,1)}
        96:{2,4,5,7}:{(86,1),(87,1),(89,1),(99,1),(101,1),(102,1)}
        97:{2,3,5,6}:{(87,1),(88,1),(90,1),(100,1),(102,1)}
        98:{1,4,5,6}:{(89,1),(90,1),(102,1)}
        99:{1,4,5,7}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,3,5,6}:{(92,1),(93,1),(94,1),(97,1),(103,1)}
       101:{3,4,5,7}:{(95,1),(96,1),(104,1)}
       102:{2,4,5,6}:{(96,1),(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5,6}:{(99,1),(100,1),(102,1)}
       104:{3,4,5,6}:{(101,1),(102,1)}

3019 :   0:{1,3,4,5,6,7}:{(2,1),(9,1),(12,1),(28,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(17,1),(21,1),(22,1),(39,1),(45,1),(46,1),(81,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(17,1),(21,1),(44,1)}
         3:{1,2,3,5,6,7}:{(7,1),(18,1),(23,1),(52,1),(81,1),(82,1),(109,1),(110,1),(130,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(36,1),(56,1),(61,1),(65,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(12,1),(60,1)}
         6:{1,4,5,6,7}:{(2,1),(12,1),(30,1),(63,1)}
         7:{1,2,4,6,7}:{(3,1),(13,1),(14,1),(30,1),(62,1),(68,1),(120,1),(123,1)}
         8:{1,2,3,5,6,7}:{(15,1),(18,1),(40,1),(75,1),(81,1),(82,1),(89,1),(90,1),(117,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(50,1),(73,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(18,1),(21,1),(42,1),(49,1),(52,1),(75,1),(81,1),(82,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(20,1),(78,1),(82,1)}
        12:{1,3,5,6,7}:{(5,1),(6,1),(20,1),(21,1),(80,1)}
        13:{1,2,4,5,7}:{(7,1),(22,1),(23,1),(45,1),(51,1),(81,1)}
        14:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(50,1),(130,1),(131,1)}
        15:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(62,1),(91,1),(103,1),(106,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(61,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(29,1),(30,1),(68,1),(91,1)}
        18:{1,3,5,6,7}:{(10,1),(30,1),(31,1),(61,1),(65,1),(70,1),(93,1)}
        19:{2,3,4,5,7}:{(11,1),(29,1),(32,1),(33,1),(99,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(30,1),(33,1),(34,1),(65,1),(96,1)}
        21:{2,5,6,7}:{(12,1),(34,1),(98,1)}
        22:{1,2,4,5,6}:{(13,1),(36,1),(63,1),(68,1),(98,1),(120,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(36,1),(37,1)}
        24:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(62,1),(68,1),(124,1),(125,1)}
        25:{1,2,4,5,7}:{(15,1),(39,1),(40,1),(45,1),(74,1),(81,1)}
        26:{1,3,4,6,7}:{(15,1),(40,1),(41,1),(73,1),(117,1),(118,1)}
        27:{2,3,4,6,7}:{(17,1),(42,1),(43,1),(49,1),(78,1),(86,1)}
        28:{1,3,4,5,6}:{(16,1),(44,1),(50,1),(73,1),(80,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(42,1),(44,1),(45,1),(81,1)}
        30:{1,4,6,7}:{(17,1),(18,1),(45,1),(87,1),(107,1)}
        31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(81,1),(89,1),(109,1)}
        32:{2,3,4,5,6}:{(19,1),(44,1),(47,1),(78,1),(113,1),(116,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(45,1),(47,1),(48,1),(84,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(48,1),(49,1),(111,1)}
        35:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(130,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(51,1),(52,1),(53,1),(81,1)}
        38:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(117,1),(118,1)}
        39:{1,2,4,5,6}:{(25,1),(56,1),(63,1),(91,1),(98,1),(103,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(26,1),(57,1),(58,1),(62,1),(91,1),(124,1),(125,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(27,1),(30,1),(61,1),(62,1),(65,1),(96,1),(101,1)}
        44:{2,4,5,6}:{(28,1),(29,1),(60,1),(63,1),(68,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(29,1),(30,1),(61,1),(63,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(62,1),(64,1),(65,1),(103,1),(120,1)}
        47:{1,3,4,5,6}:{(32,1),(33,1),(63,1),(66,1),(96,1),(100,1),(127,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(34,1),(65,1),(67,1),(124,1)}
        50:{1,3,4,6}:{(35,1),(36,1),(68,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(68,1),(70,1),(98,1),(124,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,2,4,6,7}:{(38,1),(62,1),(71,1),(72,1),(103,1),(106,1)}
        55:{1,3,4,5,7}:{(40,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(117,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(74,1),(75,1),(76,1),(81,1)}
        58:{1,3,4,6,7}:{(41,1),(76,1),(77,1),(107,1),(130,1),(131,1)}
        59:{2,3,4,5,7}:{(42,1),(51,1),(74,1),(78,1),(79,1),(86,1),(112,1),(116,1)}
        60:{2,3,5,6}:{(42,1),(44,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(45,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(81,1),(82,1),(111,1),(114,1)}
        63:{1,4,5,6}:{(44,1),(45,1),(80,1),(87,1),(107,1)}
        64:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1),(84,1),(114,1)}
        65:{1,3,6,7}:{(46,1),(49,1),(82,1),(84,1),(117,1),(130,1)}
        66:{2,4,5,6}:{(47,1),(48,1),(85,1),(111,1),(134,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(84,1),(85,1),(86,1)}
        68:{2,4,6}:{(50,1),(51,1),(52,1),(87,1)}
        69:{1,4,5,7}:{(51,1),(53,1),(87,1)}
        70:{1,3,5,6}:{(52,1),(53,1),(87,1),(89,1),(117,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(81,1),(89,1)}
        72:{1,2,3,6,7}:{(54,1),(82,1),(90,1),(117,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(91,1)}
        74:{2,4,5,7}:{(55,1),(57,1),(91,1),(92,1)}
        75:{2,3,5,6}:{(56,1),(57,1),(91,1),(93,1),(98,1),(124,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(92,1),(93,1),(94,1)}
        77:{1,2,4,6,7}:{(58,1),(62,1),(94,1),(95,1),(120,1),(123,1)}
        78:{2,3,4,6}:{(59,1),(60,1),(68,1),(91,1),(96,1),(124,1)}
        79:{1,3,4,5,7}:{(59,1),(61,1),(69,1),(92,1),(96,1),(97,1),(101,1),(104,1),(121,1),(127,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(63,1),(96,1),(98,1)}
        81:{2,5,7}:{(61,1),(62,1),(98,1)}
        82:{2,3,6,7}:{(62,1),(65,1),(99,1),(124,1)}
        83:{1,2,4,5,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(103,1),(120,1),(126,1),(129,1),(137,1)}
        84:{1,3,5,7}:{(64,1),(65,1),(67,1),(99,1),(100,1),(101,1)}
        85:{2,3,5,6}:{(66,1),(67,1),(100,1),(102,1),(124,1),(138,1)}
        86:{2,3,4,7}:{(67,1),(101,1),(102,1)}
        87:{1,4,6}:{(68,1),(69,1),(70,1)}
        88:{1,2,4,5,7}:{(69,1),(71,1),(97,1),(103,1),(104,1),(106,1),(129,1)}
        89:{1,2,5,6}:{(70,1),(71,1),(98,1),(103,1)}
        90:{1,2,3,5,7}:{(71,1),(72,1),(99,1),(104,1),(105,1),(106,1)}
        91:{2,4,6}:{(73,1),(74,1),(75,1),(107,1)}
        92:{1,4,5,7}:{(74,1),(76,1),(107,1)}
        93:{1,3,5,6}:{(75,1),(76,1),(107,1),(109,1),(130,1)}
        94:{1,2,5,7}:{(76,1),(77,1),(81,1),(109,1)}
        95:{1,2,3,6,7}:{(77,1),(82,1),(110,1),(130,1)}
        96:{1,3,4,6}:{(78,1),(79,1),(80,1),(87,1),(107,1),(111,1),(117,1),(130,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(111,1),(112,1),(114,1),(134,1)}
        98:{2,5,6}:{(80,1),(81,1),(111,1)}
        99:{2,3,5,7}:{(81,1),(82,1),(84,1),(113,1),(114,1)}
       100:{1,3,5,6}:{(83,1),(84,1),(85,1),(113,1),(115,1),(117,1),(130,1),(135,1),(139,1)}
       101:{1,3,4,7}:{(84,1),(86,1),(114,1),(115,1)}
       102:{2,3,4,6}:{(85,1),(86,1),(115,1),(116,1)}
       103:{1,2,4,6}:{(87,1),(88,1),(89,1),(111,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(112,1),(117,1),(118,1),(135,1)}
       105:{1,2,3,5,6}:{(89,1),(90,1),(113,1),(117,1),(119,1),(135,1)}
       106:{1,2,4,7}:{(90,1),(114,1),(118,1),(119,1)}
       107:{1,4,6}:{(91,1),(92,1),(93,1)}
       108:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(120,1),(121,1),(123,1),(137,1)}
       109:{1,2,5,6}:{(93,1),(94,1),(98,1),(120,1)}
       110:{1,2,3,5,7}:{(94,1),(95,1),(99,1),(121,1),(122,1),(123,1)}
       111:{2,4,6}:{(96,1),(97,1),(98,1),(124,1)}
       112:{2,3,5,7}:{(97,1),(104,1),(121,1),(124,1),(125,1),(138,1)}
       113:{2,3,5,6}:{(98,1),(99,1),(100,1),(124,1),(126,1),(138,1)}
       114:{2,4,7}:{(99,1),(101,1),(126,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{2,3,4,5}:{(102,1),(127,1),(138,1)}
       117:{1,3,6}:{(103,1),(104,1),(124,1)}
       118:{1,3,4,7}:{(104,1),(106,1),(125,1),(128,1)}
       119:{1,2,4,6}:{(105,1),(106,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(130,1)}
       121:{1,3,5,7}:{(108,1),(112,1),(130,1),(131,1),(139,1)}
       122:{1,2,3,5,6}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(114,1),(131,1),(132,1)}
       124:{2,3,6}:{(111,1),(112,1),(117,1),(130,1)}
       125:{2,3,4,7}:{(112,1),(114,1),(118,1),(131,1),(133,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(134,1)}
       127:{1,3,4,5}:{(115,1),(116,1),(134,1),(135,1),(139,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(119,1),(133,1),(135,1)}
       129:{1,2,4,5}:{(119,1),(134,1),(135,1)}
       130:{1,3,6}:{(120,1),(121,1),(124,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(125,1),(136,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(126,1),(136,1),(137,1)}
       133:{2,3,4,6}:{(124,1),(125,1),(126,1),(128,1),(136,1),(138,1)}
       134:{2,4,5}:{(126,1),(127,1),(138,1)}
       135:{1,3,5}:{(128,1),(129,1),(138,1)}
       136:{1,3,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       137:{1,2,4,5}:{(132,1),(134,1),(139,1)}
       138:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,5}:{(136,1),(137,1),(138,1)}

3020 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3021 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(21,1),(46,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(31,1),(65,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(86,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(44,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(58,1),(60,1),(65,1),(104,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(31,1),(61,1),(104,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(108,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(28,1),(31,1),(35,1),(55,1),(64,1),(107,1)}
         8:{1,2,3,5,6,7}:{(14,1),(30,1),(34,1),(61,1),(72,1),(95,1),(107,1),(132,1),(139,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(45,1),(79,1)}
        10:{1,3,4,5,6}:{(4,1),(16,1),(17,1),(40,1),(83,1),(87,1),(123,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(16,1),(18,1),(42,1),(44,1),(123,1)}
        12:{2,5,6,7}:{(6,1),(18,1),(125,1)}
        13:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(42,1),(52,1),(78,1),(85,1)}
        14:{1,2,4,6,7}:{(8,1),(22,1),(23,1),(44,1),(84,1),(90,1),(114,1),(137,1)}
        15:{1,2,3,5,6,7}:{(24,1),(30,1),(54,1),(61,1),(66,1),(101,1),(107,1),(113,1),(135,1)}
        16:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(25,1),(56,1),(64,1)}
        17:{2,4,5,6}:{(10,1),(25,1),(27,1),(106,1),(134,1)}
        18:{2,4,6,7}:{(11,1),(12,1),(25,1),(29,1),(134,1)}
        19:{1,2,5,6,7}:{(12,1),(28,1),(30,1),(107,1),(113,1),(132,1)}
        20:{2,3,5,6,7}:{(12,1),(13,1),(29,1),(30,1),(31,1),(61,1),(63,1),(72,1),(101,1),(107,1)}
        21:{1,3,4,6,7}:{(13,1),(31,1),(32,1),(68,1),(97,1)}
        22:{1,3,4,6,7}:{(14,1),(33,1),(34,1),(68,1),(128,1),(139,1)}
        23:{1,2,4,5,7}:{(14,1),(34,1),(35,1),(64,1),(67,1),(107,1)}
        24:{1,2,4,6,7}:{(15,1),(36,1),(37,1),(44,1),(84,1),(88,1),(116,1),(127,1)}
        25:{2,4,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        26:{1,2,4,5,6}:{(17,1),(38,1),(40,1),(82,1),(87,1),(92,1),(118,1),(125,1),(127,1),(137,1)}
        27:{2,3,5,6}:{(17,1),(39,1),(40,1),(41,1),(124,1),(138,1)}
        28:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(42,1),(44,1),(84,1),(127,1),(137,1)}
        29:{2,3,6,7}:{(18,1),(39,1),(42,1),(138,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(42,1),(44,1),(85,1),(94,1),(120,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(90,1),(116,1)}
        32:{1,3,4,5,7}:{(21,1),(45,1),(46,1),(85,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(84,1),(90,1),(121,1),(138,1)}
        34:{1,3,5,7}:{(22,1),(23,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(23,1),(52,1),(87,1),(90,1),(125,1),(137,1)}
        36:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(97,1),(109,1),(135,1)}
        37:{1,2,4,5,7}:{(24,1),(54,1),(55,1),(64,1),(96,1),(107,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(56,1),(64,1),(102,1),(107,1)}
        39:{2,3,5,7}:{(25,1),(27,1),(29,1),(56,1),(57,1)}
        40:{1,3,5,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(112,1),(131,1),(135,1),(139,1)}
        41:{2,3,4,6}:{(27,1),(57,1),(59,1),(60,1)}
        42:{1,3,6,7}:{(28,1),(29,1),(56,1),(61,1),(135,1),(139,1)}
        43:{2,3,4,6,7}:{(29,1),(31,1),(57,1),(62,1),(63,1),(104,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(64,1),(111,1),(130,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(107,1)}
        46:{1,3,4,5,6}:{(32,1),(65,1),(68,1),(97,1),(108,1)}
        47:{1,3,4,5,7}:{(34,1),(67,1),(68,1)}
        48:{1,2,3,5,6}:{(58,1),(66,1),(69,1),(112,1),(113,1),(135,1)}
        49:{1,2,3,6,7}:{(61,1),(66,1),(70,1),(135,1)}
        50:{1,3,4,6,7}:{(33,1),(70,1),(71,1),(109,1),(111,1),(135,1)}
        51:{2,3,5,7}:{(33,1),(34,1),(67,1),(71,1),(72,1),(107,1)}
        52:{1,3,5,6}:{(34,1),(35,1),(68,1),(72,1),(139,1)}
        53:{2,3,4,6,7}:{(36,1),(76,1),(77,1),(84,1),(116,1),(121,1),(138,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(77,1),(78,1)}
        55:{1,2,4,5,6}:{(37,1),(78,1),(87,1),(116,1),(125,1),(127,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(40,1),(42,1),(79,1),(80,1)}
        57:{2,3,4,7}:{(39,1),(41,1),(80,1)}
        58:{2,3,5,6}:{(40,1),(79,1),(82,1),(124,1),(125,1),(138,1)}
        59:{1,3,4,6}:{(40,1),(41,1),(80,1),(82,1),(83,1)}
        60:{2,3,4,5}:{(41,1),(83,1),(124,1)}
        61:{2,3,6,7}:{(42,1),(79,1),(84,1),(138,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(44,1),(80,1),(84,1),(85,1),(123,1)}
        63:{2,3,5,7}:{(43,1),(45,1),(85,1),(86,1)}
        64:{1,4,5,7}:{(44,1),(45,1),(85,1),(87,1)}
        65:{2,4,5,6}:{(45,1),(46,1),(86,1),(87,1),(90,1),(116,1),(125,1)}
        66:{1,2,3,5,7}:{(48,1),(49,1),(79,1),(88,1),(93,1),(126,1)}
        67:{2,4,5,7}:{(47,1),(51,1),(89,1),(90,1)}
        68:{1,3,4,6}:{(47,1),(52,1),(90,1)}
        69:{1,2,4,6}:{(48,1),(82,1),(88,1),(91,1),(92,1)}
        70:{1,2,4,6,7}:{(49,1),(50,1),(84,1),(88,1),(93,1),(127,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(89,1),(93,1),(94,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(90,1),(94,1),(125,1),(138,1)}
        73:{1,3,4,5,7}:{(54,1),(96,1),(97,1)}
        74:{1,2,3,5,6}:{(58,1),(95,1),(98,1),(131,1),(132,1),(139,1)}
        75:{1,2,3,6,7}:{(61,1),(95,1),(99,1),(139,1)}
        76:{1,3,4,6,7}:{(53,1),(99,1),(100,1),(128,1),(130,1),(139,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(96,1),(100,1),(101,1),(107,1)}
        78:{1,3,5,6}:{(54,1),(55,1),(97,1),(101,1),(135,1)}
        79:{2,3,5,7}:{(56,1),(58,1),(61,1),(102,1),(107,1)}
        80:{1,3,4,7}:{(56,1),(57,1),(59,1),(102,1)}
        81:{2,3,4,5,7}:{(57,1),(60,1),(63,1),(67,1),(96,1),(103,1),(104,1),(133,1)}
        82:{2,4,6}:{(58,1),(59,1),(102,1),(106,1)}
        83:{1,3,4,5}:{(59,1),(60,1),(106,1),(112,1),(131,1)}
        84:{2,4,6,7}:{(61,1),(62,1),(102,1),(107,1),(134,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(64,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(63,1),(65,1),(104,1),(108,1)}
        87:{1,4,5,6}:{(64,1),(65,1),(108,1),(111,1),(130,1)}
        88:{1,2,4,7}:{(66,1),(69,1),(102,1),(109,1)}
        89:{1,4,5,7}:{(67,1),(71,1),(111,1)}
        90:{2,4,6}:{(67,1),(68,1),(72,1),(111,1)}
        91:{1,3,4,6}:{(69,1),(105,1),(109,1),(112,1),(135,1)}
        92:{1,2,4,5}:{(69,1),(106,1),(112,1)}
        93:{1,2,5,7}:{(70,1),(71,1),(107,1),(113,1)}
        94:{1,3,5,6}:{(71,1),(72,1),(111,1),(113,1),(135,1)}
        95:{1,2,3,5,7}:{(74,1),(75,1),(79,1),(114,1),(119,1),(136,1)}
        96:{2,4,5,7}:{(73,1),(77,1),(115,1),(116,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(116,1)}
        98:{1,2,4,6}:{(74,1),(82,1),(114,1),(117,1),(118,1)}
        99:{1,2,4,6,7}:{(75,1),(76,1),(84,1),(114,1),(119,1),(137,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(115,1),(119,1),(120,1)}
       101:{2,3,5,6}:{(77,1),(78,1),(116,1),(120,1),(125,1),(138,1)}
       102:{2,4,7}:{(79,1),(80,1),(82,1)}
       103:{1,3,4,5,7}:{(80,1),(81,1),(83,1),(85,1),(89,1),(115,1),(122,1),(123,1),(126,1),(136,1)}
       104:{2,3,4,6}:{(81,1),(86,1),(90,1),(116,1),(123,1),(138,1)}
       105:{2,3,4,6}:{(82,1),(91,1),(117,1),(121,1),(124,1),(138,1)}
       106:{2,4,5}:{(82,1),(83,1),(124,1)}
       107:{2,5,7}:{(84,1),(85,1),(125,1)}
       108:{1,3,5,6}:{(85,1),(86,1),(87,1),(123,1),(125,1)}
       109:{1,3,4,7}:{(88,1),(91,1),(121,1),(126,1)}
       110:{1,2,4,5,7}:{(88,1),(89,1),(92,1),(93,1),(122,1),(126,1),(127,1)}
       111:{1,4,6}:{(89,1),(90,1),(94,1)}
       112:{1,3,5}:{(91,1),(92,1),(124,1)}
       113:{1,2,5,6}:{(93,1),(94,1),(125,1),(127,1)}
       114:{1,2,4,7}:{(95,1),(98,1),(102,1),(128,1)}
       115:{1,4,5,7}:{(96,1),(100,1),(130,1)}
       116:{2,4,6}:{(96,1),(97,1),(101,1),(130,1)}
       117:{1,3,4,6}:{(98,1),(105,1),(128,1),(131,1),(139,1)}
       118:{1,2,4,5}:{(98,1),(106,1),(131,1)}
       119:{1,2,5,7}:{(99,1),(100,1),(107,1),(132,1)}
       120:{1,3,5,6}:{(100,1),(101,1),(130,1),(132,1),(139,1)}
       121:{2,3,4,7}:{(102,1),(105,1),(109,1),(128,1),(133,1)}
       122:{2,4,5,7}:{(102,1),(103,1),(106,1),(107,1),(133,1),(134,1)}
       123:{1,3,4,6}:{(103,1),(104,1),(108,1),(111,1),(130,1),(134,1),(135,1),(139,1)}
       124:{2,3,5}:{(105,1),(106,1),(112,1),(131,1)}
       125:{2,5,6}:{(107,1),(108,1),(134,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(112,1),(133,1),(135,1)}
       127:{1,2,4,6}:{(110,1),(111,1),(113,1),(134,1),(135,1)}
       128:{1,3,4,7}:{(114,1),(117,1),(121,1),(136,1)}
       129:{1,2,4,5,7}:{(114,1),(115,1),(118,1),(119,1),(122,1),(136,1),(137,1)}
       130:{1,4,6}:{(115,1),(116,1),(120,1)}
       131:{1,3,5}:{(117,1),(118,1),(124,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(125,1),(137,1)}
       133:{2,3,5,7}:{(121,1),(122,1),(124,1),(126,1),(136,1),(138,1)}
       134:{2,4,6}:{(122,1),(123,1),(125,1),(138,1)}
       135:{1,3,6}:{(126,1),(127,1),(138,1)}
       136:{1,3,5,7}:{(128,1),(129,1),(131,1),(133,1),(139,1)}
       137:{1,2,4,6}:{(129,1),(130,1),(132,1),(134,1),(139,1)}
       138:{2,3,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,6}:{(136,1),(137,1),(138,1)}

3022 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(30,1),(64,1),(93,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(45,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(93,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(20,1),(75,1),(101,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(20,1),(44,1),(78,1),(80,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(32,1),(66,1),(86,1),(95,1),(104,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(57,1),(93,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(20,1),(43,1)}
        13:{1,3,4,5,7}:{(8,1),(22,1),(23,1),(47,1),(75,1),(101,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(19,1),(23,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(24,1),(100,1),(101,1)}
        16:{1,3,4,5,6,7}:{(26,1),(41,1),(53,1)}
        17:{1,3,4,5,6}:{(11,1),(27,1),(28,1)}
        18:{1,2,4,5,6,7}:{(12,1),(29,1),(39,1),(57,1),(69,1),(89,1),(90,1),(102,1)}
        19:{2,3,5,6}:{(11,1),(14,1),(27,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(15,1),(32,1)}
        21:{1,2,3,4,7}:{(30,1),(33,1),(93,1)}
        22:{1,2,4,5,7}:{(13,1),(33,1),(34,1),(61,1),(63,1),(93,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(31,1),(34,1)}
        24:{2,3,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(57,1),(94,1),(95,1),(103,1),(104,1)}
        25:{2,3,4,5,6}:{(27,1),(36,1),(37,1),(87,1)}
        26:{2,4,5,6,7}:{(16,1),(38,1),(39,1),(57,1),(69,1)}
        27:{2,4,5,6}:{(17,1),(19,1),(42,1),(43,1)}
        28:{1,3,4,5,7}:{(17,1),(20,1),(41,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(41,1),(44,1),(100,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(48,1),(79,1)}
        31:{1,3,5,6}:{(19,1),(23,1),(42,1),(46,1),(47,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(24,1),(43,1),(47,1)}
        33:{1,2,3,5,7}:{(21,1),(22,1),(45,1),(48,1)}
        34:{1,2,4,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{1,3,4,6,7}:{(23,1),(24,1),(47,1),(49,1),(74,1),(100,1),(101,1)}
        36:{1,3,4,5,6}:{(25,1),(42,1),(51,1),(52,1),(76,1)}
        37:{2,3,4,5,7}:{(25,1),(43,1),(50,1),(52,1),(99,1)}
        38:{2,3,5,6,7}:{(26,1),(50,1),(53,1)}
        39:{1,4,5,6,7}:{(26,1),(53,1),(74,1)}
        40:{2,3,4,5,6}:{(27,1),(54,1),(55,1),(67,1)}
        41:{1,3,4,6,7}:{(28,1),(29,1),(57,1)}
        42:{1,4,5,6}:{(27,1),(31,1),(59,1)}
        43:{2,4,5,7}:{(27,1),(28,1),(32,1),(57,1),(59,1)}
        44:{2,3,5,6,7}:{(29,1),(32,1),(57,1),(60,1),(69,1),(94,1),(102,1),(103,1)}
        45:{1,2,3,5}:{(30,1),(61,1)}
        46:{1,2,5,6}:{(31,1),(34,1),(63,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(59,1),(63,1)}
        48:{1,2,3,6}:{(33,1),(34,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(63,1),(64,1),(93,1)}
        50:{2,3,4,6,7}:{(37,1),(38,1),(57,1),(65,1),(103,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(68,1)}
        52:{1,3,4,5,7}:{(36,1),(37,1),(59,1),(65,1),(68,1),(92,1)}
        53:{1,3,5,6,7}:{(38,1),(39,1),(65,1),(69,1)}
        54:{1,3,4,5,6}:{(40,1),(42,1),(71,1),(72,1),(76,1)}
        55:{2,3,4,5,7}:{(40,1),(43,1),(70,1),(72,1),(83,1)}
        56:{1,3,4,5,6,7}:{(41,1),(73,1),(96,1)}
        57:{2,4,6,7}:{(41,1),(43,1),(44,1),(74,1)}
        58:{1,2,4,5,6}:{(42,1),(46,1),(51,1),(71,1),(76,1),(77,1),(79,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(47,1),(74,1)}
        60:{1,3,5,6,7}:{(44,1),(47,1),(74,1),(78,1),(100,1)}
        61:{1,2,4,5}:{(45,1),(75,1),(79,1)}
        62:{1,2,3,5,6}:{(45,1),(46,1),(48,1),(76,1),(79,1),(80,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(49,1)}
        64:{1,2,3,6,7}:{(48,1),(49,1),(80,1),(100,1)}
        65:{1,3,4,6,7}:{(50,1),(52,1),(53,1),(74,1),(81,1),(100,1)}
        66:{2,3,4,5}:{(75,1),(82,1)}
        67:{2,3,5,6}:{(51,1),(76,1),(82,1),(83,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,5,6,7}:{(53,1),(81,1)}
        70:{2,3,4,6,7}:{(55,1),(57,1),(84,1),(85,1),(94,1)}
        71:{2,4,5,6}:{(54,1),(87,1),(88,1)}
        72:{1,3,4,5,7}:{(54,1),(55,1),(59,1),(85,1),(88,1),(92,1)}
        73:{2,4,5,6,7}:{(56,1),(57,1),(84,1),(89,1),(102,1)}
        74:{1,4,6,7}:{(57,1),(59,1),(60,1)}
        75:{1,3,4,5}:{(61,1),(66,1),(86,1),(91,1)}
        76:{1,3,5,6}:{(58,1),(67,1),(87,1),(91,1),(92,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(63,1),(68,1),(88,1),(90,1),(92,1),(93,1)}
        78:{1,2,5,6,7}:{(60,1),(63,1),(69,1),(90,1),(102,1)}
        79:{1,2,4,6}:{(61,1),(62,1),(91,1),(93,1)}
        80:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(92,1),(93,1)}
        81:{2,4,6,7}:{(65,1),(68,1),(69,1),(94,1)}
        82:{2,3,4,6}:{(66,1),(67,1),(91,1),(95,1)}
        83:{2,3,5,7}:{(67,1),(68,1),(92,1),(94,1),(95,1)}
        84:{2,3,5,6,7}:{(70,1),(73,1),(96,1)}
        85:{1,3,4,6,7}:{(70,1),(72,1),(74,1),(96,1),(97,1),(100,1)}
        86:{2,3,4,5}:{(75,1),(98,1)}
        87:{2,3,5,6}:{(71,1),(76,1),(98,1),(99,1)}
        88:{2,4,5,7}:{(71,1),(72,1),(97,1),(99,1)}
        89:{1,4,5,6,7}:{(73,1),(74,1),(96,1)}
        90:{1,2,4,6,7}:{(74,1),(77,1),(78,1),(81,1),(97,1),(100,1)}
        91:{1,3,4,6}:{(75,1),(76,1),(79,1),(82,1),(98,1),(101,1)}
        92:{1,3,5,7}:{(76,1),(77,1),(83,1),(99,1),(100,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(101,1)}
        94:{2,3,6,7}:{(81,1),(83,1),(100,1)}
        95:{2,3,4,7}:{(82,1),(83,1),(101,1)}
        96:{1,3,5,6,7}:{(84,1),(85,1),(89,1),(102,1)}
        97:{2,4,6,7}:{(85,1),(88,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(86,1),(87,1),(91,1),(104,1)}
        99:{2,3,5,7}:{(87,1),(88,1),(92,1),(103,1),(104,1)}
       100:{1,3,6,7}:{(90,1),(92,1),(94,1),(103,1)}
       101:{1,3,4,7}:{(91,1),(92,1),(93,1),(95,1),(104,1)}
       102:{2,5,6,7}:{(96,1),(97,1)}
       103:{2,3,6,7}:{(97,1),(99,1),(100,1)}
       104:{2,3,4,7}:{(98,1),(99,1),(101,1)}

3023 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(50,1),(78,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(37,1),(39,1)}
         7:{2,3,4,5}:{(12,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(39,1),(68,1),(73,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(90,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(54,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(54,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(31,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(24,1),(30,1),(31,1)}
        17:{2,4,5,6}:{(8,1),(30,1),(32,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(32,1),(33,1),(56,1),(82,1),(85,1)}
        19:{2,3,4,6,7}:{(9,1),(29,1),(33,1),(81,1),(98,1)}
        20:{2,3,4,5}:{(12,1),(35,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(34,1),(36,1),(40,1),(69,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(36,1),(37,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(38,1),(72,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(16,1),(35,1),(39,1),(40,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(37,1),(39,1),(41,1),(66,1),(68,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(40,1)}
        27:{3,4,5,6,7}:{(42,1),(102,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,5,6,7}:{(19,1),(42,1),(45,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1)}
        31:{2,3,4,7}:{(16,1),(40,1),(47,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1)}
        33:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(48,1),(72,1),(93,1),(95,1)}
        34:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(51,1),(79,1)}
        35:{2,3,4,6}:{(20,1),(24,1),(50,1),(51,1)}
        36:{1,3,4,6}:{(21,1),(22,1),(28,1),(49,1),(52,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(54,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(53,1),(54,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(30,1),(50,1),(56,1)}
        40:{1,3,4,7}:{(24,1),(26,1),(31,1),(51,1),(56,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(32,1),(54,1),(56,1),(57,1),(80,1),(82,1)}
        42:{2,4,5,6,7}:{(27,1),(29,1),(58,1),(98,1)}
        43:{2,3,5,6}:{(28,1),(52,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(31,1),(53,1),(60,1),(63,1),(87,1)}
        45:{1,3,5,6,7}:{(29,1),(33,1),(58,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(30,1),(55,1),(59,1),(62,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(32,1),(56,1),(63,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(34,1),(36,1),(64,1)}
        50:{2,3,5,6}:{(35,1),(39,1),(66,1),(67,1)}
        51:{2,3,4,7}:{(35,1),(40,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(43,1),(64,1),(68,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(38,1),(40,1),(44,1),(65,1),(69,1),(72,1),(93,1)}
        54:{1,2,5,7}:{(37,1),(38,1),(69,1)}
        55:{1,3,4,5,6}:{(39,1),(46,1),(66,1),(68,1),(71,1),(89,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(47,1),(67,1),(72,1)}
        57:{1,2,4,6,7}:{(41,1),(48,1),(70,1),(72,1),(92,1),(93,1)}
        58:{1,4,5,6,7}:{(42,1),(45,1),(74,1),(93,1)}
        59:{2,4,5,6}:{(43,1),(68,1),(73,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(69,1),(75,1)}
        61:{2,5,6,7}:{(45,1),(48,1)}
        62:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(75,1),(77,1)}
        63:{2,3,6,7}:{(47,1),(48,1),(72,1)}
        64:{2,3,5,6}:{(49,1),(52,1),(78,1),(79,1)}
        65:{2,3,4,6,7}:{(49,1),(51,1),(53,1),(79,1),(81,1),(98,1)}
        66:{2,4,5,6}:{(50,1),(55,1),(80,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(56,1),(80,1),(81,1)}
        68:{1,4,5,6}:{(52,1),(59,1),(78,1),(82,1)}
        69:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(79,1),(82,1)}
        70:{1,2,5,6,7}:{(54,1),(57,1),(61,1),(83,1),(99,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(62,1),(80,1),(82,1),(84,1),(97,1)}
        72:{1,3,6,7}:{(56,1),(57,1),(63,1),(81,1)}
        73:{3,4,5,6}:{(59,1),(85,1)}
        74:{2,4,5,6,7}:{(58,1),(61,1),(86,1),(87,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(82,1),(85,1),(87,1)}
        76:{2,3,5,6,7}:{(60,1),(61,1),(63,1),(83,1),(86,1),(87,1)}
        77:{2,3,4,6,7}:{(62,1),(63,1),(84,1),(87,1),(88,1)}
        78:{2,4,5,6}:{(64,1),(68,1),(89,1),(90,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(90,1)}
        80:{2,4,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        81:{2,3,6,7}:{(67,1),(72,1),(92,1)}
        82:{1,4,5,7}:{(68,1),(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(76,1),(91,1),(93,1)}
        84:{1,3,4,6,7}:{(71,1),(72,1),(77,1),(92,1),(93,1),(94,1),(102,1)}
        85:{3,4,5,7}:{(73,1),(75,1),(95,1)}
        86:{3,5,6,7}:{(74,1),(95,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(93,1),(95,1)}
        88:{2,3,5,6,7}:{(77,1),(94,1),(96,1)}
        89:{3,4,5,6}:{(78,1),(97,1)}
        90:{2,4,5,7}:{(78,1),(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(98,1),(99,1),(104,1)}
        92:{2,4,6,7}:{(80,1),(81,1),(84,1),(99,1)}
        93:{1,4,6,7}:{(82,1),(83,1),(87,1),(98,1)}
        94:{1,3,5,6,7}:{(84,1),(88,1),(99,1),(100,1),(104,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(87,1)}
        96:{2,4,5,6,7}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,5,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
        99:{2,5,6,7}:{(92,1),(94,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{3,4,6,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3024 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3025 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(20,1),(112,1),(113,1),(139,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(29,1),(129,1)}
         2:{1,2,3,4,6,7}:{(5,1),(16,1),(36,1),(84,1),(85,1),(121,1)}
         3:{1,2,3,5,6}:{(1,1),(7,1),(19,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(139,1),(140,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(50,1),(105,1)}
         6:{1,2,3,5,6,7}:{(3,1),(12,1),(29,1),(60,1),(126,1),(127,1),(144,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,3,4,5,7}:{(4,1),(13,1),(14,1),(29,1),(145,1),(146,1)}
         9:{1,2,3,5,6}:{(5,1),(16,1),(35,1)}
        10:{1,2,4,5,7}:{(5,1),(16,1),(17,1),(121,1),(122,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(41,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(78,1),(139,1)}
        13:{1,3,4,6}:{(7,1),(8,1),(19,1),(21,1)}
        14:{2,3,4,5,7}:{(8,1),(21,1),(22,1),(43,1),(142,1),(143,1)}
        15:{1,2,3,5,6,7}:{(9,1),(24,1),(50,1),(89,1),(102,1),(103,1),(133,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(25,1)}
        17:{1,3,4,5,7}:{(10,1),(25,1),(26,1),(50,1),(134,1),(135,1)}
        18:{1,2,4,5,7}:{(11,1),(12,1),(29,1),(58,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(29,1),(30,1)}
        20:{1,3,4,6,7}:{(12,1),(13,1),(29,1),(31,1),(144,1),(145,1)}
        21:{2,3,4,6}:{(13,1),(14,1),(30,1),(32,1)}
        22:{1,3,4,5,7}:{(14,1),(32,1),(33,1),(61,1),(134,1),(135,1)}
        23:{1,2,4,5,6}:{(16,1),(34,1),(35,1),(67,1)}
        24:{1,2,4,6,7}:{(15,1),(16,1),(34,1),(36,1),(106,1),(121,1)}
        25:{1,3,4,6}:{(16,1),(17,1),(35,1),(37,1)}
        26:{2,3,4,5,7}:{(17,1),(37,1),(38,1),(69,1),(142,1),(143,1)}
        27:{1,3,4,5,6}:{(19,1),(40,1),(41,1)}
        28:{1,2,4,5,6,7}:{(18,1),(42,1),(77,1),(78,1),(117,1),(136,1)}
        29:{1,3,5,7}:{(18,1),(19,1),(20,1),(43,1)}
        30:{2,3,5,6}:{(19,1),(21,1),(41,1),(43,1),(44,1)}
        31:{2,3,4,6,7}:{(20,1),(21,1),(43,1),(45,1),(78,1),(141,1),(142,1)}
        32:{1,3,4,6}:{(21,1),(22,1),(44,1),(46,1)}
        33:{1,2,4,5,7}:{(22,1),(46,1),(47,1),(82,1),(121,1),(122,1)}
        34:{1,2,4,5,7}:{(23,1),(24,1),(50,1),(87,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(50,1),(51,1)}
        36:{1,3,4,6,7}:{(24,1),(25,1),(50,1),(52,1),(133,1),(134,1)}
        37:{2,3,4,6}:{(25,1),(26,1),(51,1),(53,1)}
        38:{1,3,4,5,7}:{(26,1),(53,1),(54,1),(90,1),(145,1),(146,1)}
        39:{1,3,4,5,6,7}:{(56,1),(57,1),(86,1),(98,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(57,1),(58,1)}
        41:{2,4,5,6}:{(27,1),(30,1),(58,1),(59,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(57,1),(60,1),(144,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(31,1),(58,1),(61,1)}
        44:{1,3,5,6}:{(30,1),(32,1),(59,1),(61,1),(62,1)}
        45:{1,3,4,6,7}:{(31,1),(32,1),(61,1),(63,1),(99,1),(133,1),(134,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(62,1),(64,1)}
        47:{1,2,3,5,7}:{(33,1),(64,1),(65,1),(105,1)}
        48:{1,3,4,5,6}:{(35,1),(66,1),(67,1)}
        49:{1,2,4,5,6,7}:{(34,1),(68,1),(77,1),(106,1),(117,1),(118,1)}
        50:{1,3,5,7}:{(34,1),(35,1),(36,1),(69,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(67,1),(69,1),(70,1)}
        52:{2,3,4,6,7}:{(36,1),(37,1),(69,1),(71,1),(106,1),(141,1),(142,1)}
        53:{1,3,4,6}:{(37,1),(38,1),(70,1),(72,1)}
        54:{1,2,4,5,7}:{(38,1),(72,1),(73,1),(110,1),(139,1),(140,1)}
        55:{2,3,4,5,6}:{(41,1),(67,1),(74,1),(75,1),(116,1)}
        56:{2,4,5,6,7}:{(39,1),(76,1),(77,1),(78,1),(106,1),(117,1)}
        57:{1,3,4,6,7}:{(40,1),(42,1),(78,1)}
        58:{2,4,5,7}:{(40,1),(41,1),(43,1),(78,1),(79,1)}
        59:{1,4,5,6}:{(41,1),(44,1),(79,1)}
        60:{2,3,5,6,7}:{(42,1),(43,1),(78,1),(81,1),(117,1),(141,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(45,1),(79,1),(82,1)}
        62:{1,2,5,6}:{(44,1),(46,1),(82,1)}
        63:{1,2,4,6,7}:{(45,1),(46,1),(82,1),(84,1),(121,1)}
        64:{1,2,3,6}:{(46,1),(47,1)}
        65:{1,2,3,4,7}:{(47,1),(85,1),(121,1)}
        66:{1,3,4,5,7}:{(48,1),(50,1),(86,1),(87,1)}
        67:{2,4,5,6}:{(48,1),(51,1),(87,1),(88,1)}
        68:{1,3,5,6,7}:{(49,1),(50,1),(86,1),(89,1),(133,1)}
        69:{2,3,5,7}:{(50,1),(51,1),(52,1),(87,1),(90,1)}
        70:{1,3,5,6}:{(51,1),(53,1),(88,1),(90,1),(91,1)}
        71:{1,3,4,6,7}:{(52,1),(53,1),(90,1),(92,1),(123,1),(144,1),(145,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(91,1),(93,1)}
        73:{1,2,3,5,7}:{(54,1),(93,1),(94,1),(129,1)}
        74:{2,3,4,5,7}:{(55,1),(58,1),(87,1),(95,1),(96,1),(131,1)}
        75:{1,3,4,5,6}:{(55,1),(59,1),(88,1),(96,1),(97,1),(101,1),(125,1)}
        76:{2,3,5,6,7}:{(56,1),(95,1),(98,1)}
        77:{1,4,5,6,7}:{(56,1),(98,1),(99,1),(123,1)}
        78:{2,4,6,7}:{(57,1),(58,1),(60,1),(99,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(61,1),(99,1)}
        80:{1,2,4,5,6}:{(59,1),(62,1),(97,1),(100,1),(101,1),(104,1)}
        81:{1,3,5,6,7}:{(60,1),(61,1),(99,1),(102,1),(133,1)}
        82:{1,2,5,7}:{(61,1),(62,1),(63,1)}
        83:{1,2,3,5,6}:{(62,1),(64,1),(101,1),(103,1),(104,1),(105,1)}
        84:{1,2,3,6,7}:{(63,1),(64,1),(103,1),(133,1)}
        85:{1,2,3,4,6}:{(64,1),(65,1),(104,1),(105,1)}
        86:{1,3,4,6,7}:{(66,1),(68,1),(106,1)}
        87:{2,4,5,7}:{(66,1),(67,1),(69,1),(106,1),(107,1)}
        88:{1,4,5,6}:{(67,1),(70,1),(107,1)}
        89:{2,3,5,6,7}:{(68,1),(69,1),(106,1),(109,1),(117,1),(141,1)}
        90:{1,3,5,7}:{(69,1),(70,1),(71,1),(107,1),(110,1)}
        91:{1,2,5,6}:{(70,1),(72,1),(110,1)}
        92:{1,2,4,6,7}:{(71,1),(72,1),(110,1),(112,1),(139,1)}
        93:{1,2,3,6}:{(72,1),(73,1)}
        94:{1,2,3,4,7}:{(73,1),(113,1),(139,1)}
        95:{2,3,4,6,7}:{(74,1),(76,1),(78,1),(106,1),(114,1),(141,1)}
        96:{1,3,4,5,7}:{(74,1),(75,1),(79,1),(107,1),(114,1),(115,1),(119,1),(137,1)}
        97:{2,4,5,6}:{(75,1),(115,1),(116,1)}
        98:{1,3,5,6,7}:{(76,1),(77,1),(114,1),(117,1)}
        99:{1,4,6,7}:{(78,1),(79,1),(81,1)}
       100:{1,2,4,5,7}:{(79,1),(80,1),(82,1),(115,1),(118,1),(119,1),(121,1)}
       101:{1,3,5,6}:{(80,1),(116,1),(119,1),(120,1)}
       102:{1,2,5,6,7}:{(81,1),(82,1),(117,1),(118,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(84,1),(119,1),(121,1)}
       104:{1,2,4,6}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,3,5}:{(85,1),(122,1)}
       106:{2,4,6,7}:{(86,1),(87,1),(89,1),(123,1)}
       107:{1,4,5,7}:{(87,1),(88,1),(90,1),(123,1)}
       108:{1,2,4,5,6}:{(88,1),(91,1),(97,1),(124,1),(125,1),(128,1)}
       109:{1,3,5,6,7}:{(89,1),(90,1),(123,1),(126,1),(144,1)}
       110:{1,2,5,7}:{(90,1),(91,1),(92,1)}
       111:{1,2,3,5,6}:{(91,1),(93,1),(125,1),(127,1),(128,1),(129,1)}
       112:{1,2,3,6,7}:{(92,1),(93,1),(127,1),(144,1)}
       113:{1,2,3,4,6}:{(93,1),(94,1),(128,1),(129,1)}
       114:{1,3,4,6,7}:{(95,1),(96,1),(98,1),(99,1),(123,1),(130,1),(133,1),(144,1)}
       115:{2,4,5,7}:{(96,1),(97,1),(130,1),(131,1)}
       116:{2,3,5,6}:{(97,1),(101,1),(125,1),(131,1),(132,1)}
       117:{2,5,6,7}:{(98,1),(130,1)}
       118:{1,2,4,6,7}:{(99,1),(100,1),(102,1),(130,1),(133,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(131,1),(133,1),(134,1)}
       120:{1,3,4,6}:{(101,1),(104,1),(132,1),(134,1),(135,1)}
       121:{1,2,4,7}:{(103,1),(104,1),(134,1)}
       122:{1,2,4,5}:{(104,1),(105,1),(135,1)}
       123:{1,4,6,7}:{(106,1),(107,1),(109,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(115,1),(136,1),(137,1),(139,1)}
       125:{1,3,5,6}:{(108,1),(116,1),(137,1),(138,1)}
       126:{1,2,5,6,7}:{(109,1),(110,1),(117,1),(136,1)}
       127:{1,2,3,5,7}:{(110,1),(111,1),(112,1),(137,1),(139,1)}
       128:{1,2,4,6}:{(111,1),(138,1),(139,1),(140,1)}
       129:{1,2,3,5}:{(113,1),(140,1)}
       130:{2,4,6,7}:{(114,1),(115,1),(117,1),(141,1)}
       131:{2,3,5,7}:{(115,1),(116,1),(119,1),(137,1),(141,1),(142,1)}
       132:{2,3,4,6}:{(116,1),(120,1),(138,1),(142,1),(143,1)}
       133:{1,3,6,7}:{(118,1),(119,1),(141,1)}
       134:{1,3,4,7}:{(119,1),(120,1),(121,1),(142,1)}
       135:{1,3,4,5}:{(120,1),(122,1),(143,1)}
       136:{1,2,4,6,7}:{(123,1),(124,1),(126,1),(130,1),(144,1)}
       137:{1,3,5,7}:{(124,1),(125,1),(131,1),(144,1),(145,1)}
       138:{1,3,4,6}:{(125,1),(128,1),(132,1),(145,1),(146,1)}
       139:{1,2,4,7}:{(127,1),(128,1),(145,1)}
       140:{1,2,4,5}:{(128,1),(129,1),(146,1)}
       141:{2,3,6,7}:{(130,1),(131,1),(133,1),(144,1)}
       142:{2,3,4,7}:{(131,1),(132,1),(134,1),(145,1)}
       143:{2,3,4,5}:{(132,1),(135,1),(146,1)}
       144:{1,3,6,7}:{(136,1),(137,1),(141,1)}
       145:{1,3,4,7}:{(137,1),(138,1),(139,1),(142,1)}
       146:{1,3,4,5}:{(138,1),(140,1),(143,1)}

3026 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(29,1),(30,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(10,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(38,1),(40,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(48,1)}
         8:{1,2,3,5}:{(3,1),(16,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(50,1),(81,1)}
        10:{1,3,4,5}:{(5,1),(18,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(26,1),(58,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(24,1),(26,1),(57,1),(58,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,5}:{(8,1),(27,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(29,1),(30,1),(31,1),(61,1),(63,1)}
        18:{2,3,4,5}:{(10,1),(27,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(38,1),(61,1),(72,1),(89,1),(93,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(68,1),(94,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(37,1),(39,1),(73,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(33,1),(38,1),(39,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(40,1)}
        24:{1,2,3,6,7}:{(12,1),(14,1),(41,1),(74,1)}
        25:{1,2,4,5,6}:{(13,1),(34,1),(38,1),(40,1),(42,1),(72,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(39,1)}
        27:{1,3,4,5}:{(16,1),(18,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(45,1),(48,1),(79,1)}
        29:{1,2,3,6}:{(15,1),(45,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,2,3,5,7}:{(17,1),(46,1),(48,1),(78,1),(79,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(49,1),(51,1),(82,1)}
        33:{2,3,4,6}:{(18,1),(22,1),(44,1),(50,1),(51,1)}
        34:{2,4,5,6}:{(19,1),(50,1),(52,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(52,1),(53,1),(57,1),(78,1),(87,1),(98,1),(100,1)}
        36:{2,3,4,6,7}:{(20,1),(53,1),(54,1),(83,1),(101,1)}
        37:{1,3,4,6}:{(21,1),(23,1),(49,1),(55,1)}
        38:{1,3,5,6}:{(22,1),(25,1),(50,1),(57,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(51,1),(57,1)}
        40:{1,2,5,6}:{(23,1),(55,1),(58,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(56,1),(58,1)}
        42:{1,2,4,5,7}:{(25,1),(26,1),(52,1),(57,1),(58,1),(59,1),(87,1)}
        43:{1,3,4,5,7}:{(27,1),(28,1),(32,1),(60,1),(62,1),(90,1)}
        44:{1,3,4,6}:{(27,1),(30,1),(33,1),(61,1),(62,1)}
        45:{1,2,4,6}:{(28,1),(29,1),(60,1),(63,1)}
        46:{1,2,3,6,7}:{(29,1),(31,1),(64,1),(91,1)}
        47:{1,2,4,5,6}:{(30,1),(34,1),(61,1),(63,1),(65,1),(89,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(62,1)}
        49:{2,3,4,6}:{(32,1),(37,1),(60,1),(66,1)}
        50:{2,3,5,6}:{(33,1),(34,1),(38,1),(61,1),(68,1)}
        51:{2,3,4,7}:{(33,1),(39,1),(62,1),(68,1)}
        52:{2,4,5,7}:{(34,1),(35,1),(68,1),(69,1)}
        53:{1,3,4,6,7}:{(35,1),(36,1),(69,1),(70,1),(74,1),(91,1),(97,1),(103,1),(104,1)}
        54:{2,3,5,6,7}:{(36,1),(70,1),(71,1)}
        55:{1,3,5,6}:{(37,1),(40,1),(66,1),(72,1),(73,1)}
        56:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(67,1),(73,1),(74,1),(97,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(42,1),(68,1),(74,1)}
        58:{1,2,5,7}:{(40,1),(41,1),(73,1)}
        59:{1,2,4,6,7}:{(42,1),(69,1),(74,1),(75,1),(97,1)}
        60:{1,3,4,6}:{(43,1),(45,1),(49,1),(76,1)}
        61:{1,3,5,6}:{(44,1),(47,1),(50,1),(78,1)}
        62:{1,3,4,7}:{(44,1),(48,1),(51,1),(78,1)}
        63:{1,2,5,6}:{(45,1),(76,1),(79,1)}
        64:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(77,1),(79,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(52,1),(78,1),(79,1),(80,1),(98,1)}
        66:{2,3,5,6}:{(49,1),(55,1),(76,1),(81,1),(82,1)}
        67:{2,3,4,6,7}:{(49,1),(51,1),(56,1),(77,1),(82,1),(83,1),(101,1)}
        68:{2,3,5,7}:{(50,1),(51,1),(52,1),(57,1),(78,1),(83,1)}
        69:{2,4,6,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{1,3,5,6,7}:{(53,1),(54,1),(84,1),(85,1),(102,1)}
        71:{2,4,5,6,7}:{(54,1),(85,1),(86,1),(101,1)}
        72:{1,4,5,6}:{(55,1),(81,1),(87,1)}
        73:{1,3,5,7}:{(55,1),(56,1),(58,1),(82,1),(87,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(83,1)}
        75:{1,2,5,6,7}:{(58,1),(59,1),(84,1),(88,1)}
        76:{1,3,5,6}:{(60,1),(63,1),(66,1),(89,1),(90,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(64,1),(67,1),(90,1),(91,1),(103,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(65,1),(68,1),(91,1)}
        79:{1,2,5,7}:{(63,1),(64,1),(90,1)}
        80:{1,2,4,6,7}:{(65,1),(69,1),(91,1),(92,1),(103,1)}
        81:{2,4,5,6}:{(66,1),(72,1),(89,1),(93,1),(94,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(73,1),(90,1),(94,1)}
        83:{2,3,6,7}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,5,6,7}:{(69,1),(70,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(96,1),(97,1),(103,1)}
        86:{3,4,5,6,7}:{(71,1),(104,1)}
        87:{1,4,5,7}:{(72,1),(73,1),(94,1),(97,1)}
        88:{1,3,5,6,7}:{(73,1),(74,1),(75,1),(95,1),(97,1)}
        89:{1,4,5,6}:{(76,1),(81,1),(98,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(79,1),(82,1),(98,1)}
        91:{1,3,6,7}:{(78,1),(80,1),(83,1)}
        92:{1,2,5,6,7}:{(79,1),(80,1),(84,1),(99,1)}
        93:{3,4,5,6}:{(81,1),(100,1)}
        94:{2,4,5,7}:{(81,1),(82,1),(87,1),(98,1),(100,1),(101,1)}
        95:{2,3,5,6,7}:{(82,1),(83,1),(84,1),(88,1),(99,1),(101,1),(102,1)}
        96:{2,4,5,6,7}:{(84,1),(85,1),(101,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(101,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(94,1),(103,1)}
        99:{1,3,5,6,7}:{(90,1),(91,1),(92,1),(95,1),(103,1)}
       100:{3,4,5,7}:{(93,1),(94,1),(104,1)}
       101:{2,4,6,7}:{(94,1),(95,1),(97,1),(103,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(101,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

3027 :   0:{1,2,3,4,6}:{(2,1),(3,1),(20,1),(21,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(28,1),(92,1)}
         2:{1,2,3,4,7}:{(0,1),(9,1),(37,1)}
         3:{1,2,3,5}:{(0,1),(8,1)}
         4:{1,2,3,4,6}:{(11,1),(12,1),(43,1),(44,1)}
         5:{1,3,4,5,6}:{(1,1),(13,1),(14,1),(17,1),(40,1),(85,1),(97,1),(100,1)}
         6:{2,3,4,5,7}:{(1,1),(14,1),(15,1),(48,1),(101,1)}
         7:{1,2,4,5,6}:{(13,1),(17,1),(18,1),(20,1),(56,1),(85,1)}
         8:{1,2,4,5}:{(3,1),(16,1),(20,1)}
         9:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(21,1)}
        10:{1,2,3,5,6}:{(3,1),(17,1),(20,1),(21,1),(22,1),(56,1)}
        11:{1,2,3,4,7}:{(4,1),(25,1),(63,1)}
        12:{1,2,3,5}:{(4,1),(24,1)}
        13:{2,4,5,6}:{(5,1),(28,1),(29,1)}
        14:{1,3,4,5,7}:{(5,1),(6,1),(29,1),(30,1),(34,1),(60,1),(96,1),(103,1),(104,1)}
        15:{2,3,4,6,7}:{(6,1),(30,1),(31,1),(67,1),(94,1)}
        16:{1,3,4,5}:{(8,1),(27,1),(33,1)}
        17:{1,3,5,6}:{(7,1),(28,1),(33,1),(34,1)}
        18:{1,2,4,5,7}:{(7,1),(29,1),(34,1),(35,1),(37,1),(74,1),(96,1)}
        19:{1,2,4,5,7}:{(8,1),(9,1),(32,1),(36,1),(37,1),(74,1)}
        20:{1,2,4,6}:{(8,1),(10,1),(33,1),(37,1)}
        21:{1,2,3,6}:{(9,1),(36,1)}
        22:{1,2,3,5,7}:{(10,1),(34,1),(37,1),(38,1),(74,1)}
        23:{1,2,4,5,6}:{(13,1),(40,1),(41,1),(43,1),(79,1),(97,1)}
        24:{1,2,4,5}:{(12,1),(39,1),(43,1)}
        25:{1,2,3,5,7}:{(11,1),(12,1),(42,1),(44,1)}
        26:{1,2,3,5,6}:{(12,1),(40,1),(43,1),(44,1),(45,1),(79,1)}
        27:{2,3,4,5}:{(16,1),(39,1),(47,1)}
        28:{2,3,5,6}:{(13,1),(17,1),(40,1),(47,1),(48,1)}
        29:{2,4,5,7}:{(13,1),(14,1),(48,1),(49,1)}
        30:{1,3,4,6,7}:{(14,1),(15,1),(49,1),(50,1),(54,1),(77,1),(87,1),(99,1),(102,1)}
        31:{2,3,5,6,7}:{(15,1),(50,1),(51,1)}
        32:{1,3,4,5,7}:{(16,1),(19,1),(46,1),(52,1),(53,1),(86,1)}
        33:{1,3,4,6}:{(16,1),(17,1),(20,1),(47,1),(53,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(48,1),(53,1),(54,1)}
        35:{1,2,4,6,7}:{(18,1),(49,1),(54,1),(55,1),(87,1)}
        36:{1,2,4,6}:{(19,1),(21,1),(52,1),(56,1)}
        37:{1,2,4,7}:{(20,1),(22,1),(53,1)}
        38:{1,2,3,6,7}:{(21,1),(22,1),(54,1),(57,1)}
        39:{1,3,4,5}:{(24,1),(27,1),(59,1)}
        40:{1,3,5,6}:{(23,1),(28,1),(59,1),(60,1)}
        41:{1,2,4,5,7}:{(23,1),(29,1),(60,1),(61,1),(63,1),(91,1),(103,1)}
        42:{1,2,4,5,7}:{(24,1),(25,1),(58,1),(62,1),(63,1),(91,1)}
        43:{1,2,4,6}:{(24,1),(26,1),(59,1),(63,1)}
        44:{1,2,3,6}:{(25,1),(62,1)}
        45:{1,2,3,5,7}:{(26,1),(60,1),(63,1),(64,1),(91,1)}
        46:{2,3,4,5,7}:{(27,1),(32,1),(58,1),(65,1),(66,1),(93,1)}
        47:{2,3,4,6}:{(27,1),(28,1),(33,1),(59,1),(66,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(34,1),(60,1),(66,1),(67,1)}
        49:{2,4,6,7}:{(29,1),(30,1),(67,1),(68,1)}
        50:{1,3,5,6,7}:{(30,1),(31,1),(68,1),(69,1),(95,1)}
        51:{2,4,5,6,7}:{(31,1),(69,1),(70,1),(94,1)}
        52:{1,3,4,6}:{(32,1),(36,1),(65,1),(71,1)}
        53:{1,3,4,7}:{(33,1),(34,1),(37,1),(66,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(67,1)}
        55:{1,2,5,6,7}:{(35,1),(68,1),(73,1),(74,1)}
        56:{1,2,5,6}:{(36,1),(71,1),(74,1)}
        57:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(72,1),(74,1)}
        58:{1,3,4,5,7}:{(39,1),(42,1),(46,1),(75,1),(76,1),(98,1)}
        59:{1,3,4,6}:{(39,1),(40,1),(43,1),(47,1),(76,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(48,1),(76,1),(77,1)}
        61:{1,2,4,6,7}:{(41,1),(49,1),(77,1),(78,1),(99,1)}
        62:{1,2,4,6}:{(42,1),(44,1),(75,1),(79,1)}
        63:{1,2,4,7}:{(43,1),(45,1),(76,1)}
        64:{1,2,3,6,7}:{(44,1),(45,1),(77,1),(80,1)}
        65:{2,3,4,6}:{(46,1),(52,1),(75,1),(81,1)}
        66:{2,3,4,7}:{(47,1),(48,1),(53,1),(76,1)}
        67:{2,3,6,7}:{(48,1),(49,1),(54,1),(77,1)}
        68:{2,5,6,7}:{(49,1),(50,1)}
        69:{1,4,5,6,7}:{(50,1),(51,1),(84,1),(87,1),(99,1)}
        70:{3,4,5,6,7}:{(51,1),(102,1)}
        71:{1,3,5,6}:{(52,1),(56,1),(81,1),(85,1),(86,1)}
        72:{1,3,4,6,7}:{(52,1),(53,1),(54,1),(57,1),(82,1),(86,1),(87,1)}
        73:{1,3,5,6,7}:{(54,1),(55,1),(83,1),(86,1),(87,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(86,1)}
        75:{1,3,4,6}:{(58,1),(62,1),(65,1),(88,1)}
        76:{1,3,4,7}:{(59,1),(60,1),(63,1),(66,1)}
        77:{1,3,6,7}:{(60,1),(61,1),(67,1)}
        78:{1,2,5,6,7}:{(61,1),(68,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(88,1),(91,1)}
        80:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(89,1),(91,1)}
        81:{2,3,5,6}:{(65,1),(71,1),(88,1),(92,1),(93,1)}
        82:{2,3,4,6,7}:{(65,1),(66,1),(67,1),(72,1),(89,1),(93,1),(94,1)}
        83:{2,3,5,6,7}:{(67,1),(68,1),(73,1),(90,1),(93,1),(94,1),(95,1)}
        84:{2,4,5,6,7}:{(68,1),(69,1),(94,1),(95,1)}
        85:{1,4,5,6}:{(71,1),(92,1),(96,1)}
        86:{1,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(96,1)}
        87:{1,4,6,7}:{(73,1),(94,1),(96,1)}
        88:{1,3,5,6}:{(75,1),(79,1),(81,1),(97,1),(98,1)}
        89:{1,3,4,6,7}:{(75,1),(76,1),(77,1),(80,1),(82,1),(98,1),(99,1)}
        90:{1,3,5,6,7}:{(77,1),(78,1),(83,1),(98,1),(99,1)}
        91:{1,2,5,7}:{(79,1),(80,1),(98,1)}
        92:{2,4,5,6}:{(81,1),(85,1),(97,1),(100,1),(101,1)}
        93:{2,3,5,7}:{(81,1),(82,1),(86,1),(98,1),(101,1)}
        94:{2,4,6,7}:{(83,1),(87,1),(99,1),(101,1),(102,1)}
        95:{3,5,6,7}:{(84,1),(102,1)}
        96:{1,4,5,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{1,4,5,6}:{(88,1),(92,1),(103,1)}
        98:{1,3,5,7}:{(88,1),(89,1),(91,1),(93,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(94,1),(103,1)}
       100:{3,4,5,6}:{(92,1),(104,1)}
       101:{2,4,5,7}:{(92,1),(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6,7}:{(94,1),(95,1),(104,1)}
       103:{1,4,5,7}:{(97,1),(98,1),(99,1),(101,1)}
       104:{3,4,5,7}:{(100,1),(101,1),(102,1)}

3028 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,7}:{(1,1),(7,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1),(12,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,6,7}:{(7,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,5,6,7}:{(17,1),(27,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1),(35,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}
       35:{3,4,5,6,7}:{(33,1)}

3029 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(61,1),(62,1),(89,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(77,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(89,1),(90,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(19,1),(42,1),(74,1),(75,1),(98,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(19,1),(99,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(55,1),(89,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(29,1),(92,1),(93,1),(103,1),(104,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(19,1),(21,1),(98,1),(99,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(22,1)}
        15:{1,3,4,5,7}:{(10,1),(22,1),(23,1),(43,1),(99,1),(100,1)}
        16:{1,3,4,5,6,7}:{(25,1),(39,1),(51,1)}
        17:{1,3,4,5,6}:{(12,1),(26,1),(27,1)}
        18:{1,2,4,5,6,7}:{(11,1),(28,1),(37,1),(55,1),(66,1),(85,1),(86,1),(101,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(13,1),(29,1)}
        20:{2,3,5,6}:{(12,1),(14,1),(27,1),(29,1),(30,1)}
        21:{2,3,4,6,7}:{(13,1),(14,1),(29,1),(31,1),(55,1),(91,1),(92,1),(102,1),(103,1)}
        22:{1,3,4,6}:{(14,1),(15,1),(30,1),(32,1)}
        23:{1,2,4,5,7}:{(15,1),(32,1),(33,1),(59,1),(89,1),(90,1)}
        24:{2,3,4,5,6}:{(27,1),(34,1),(35,1),(84,1)}
        25:{2,4,5,6,7}:{(16,1),(36,1),(37,1),(55,1),(66,1)}
        26:{1,3,4,5,7}:{(17,1),(19,1),(39,1),(40,1)}
        27:{2,4,5,6}:{(17,1),(20,1),(40,1),(41,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(39,1),(42,1),(98,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(21,1),(40,1),(43,1)}
        30:{1,3,5,6}:{(20,1),(22,1),(41,1),(43,1),(44,1)}
        31:{1,3,4,6,7}:{(21,1),(22,1),(43,1),(45,1),(71,1),(98,1),(99,1)}
        32:{1,2,4,6}:{(22,1),(23,1),(44,1),(46,1)}
        33:{1,2,3,5,7}:{(23,1),(46,1),(47,1),(77,1)}
        34:{2,3,4,5,7}:{(24,1),(40,1),(48,1),(49,1),(96,1)}
        35:{1,3,4,5,6}:{(24,1),(41,1),(49,1),(50,1),(73,1)}
        36:{2,3,5,6,7}:{(25,1),(48,1),(51,1)}
        37:{1,4,5,6,7}:{(25,1),(51,1),(71,1)}
        38:{2,3,4,5,6}:{(27,1),(52,1),(53,1),(65,1)}
        39:{1,3,4,6,7}:{(26,1),(28,1),(55,1)}
        40:{2,4,5,7}:{(26,1),(27,1),(29,1),(55,1),(56,1)}
        41:{1,4,5,6}:{(27,1),(30,1),(56,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(58,1),(66,1),(91,1),(101,1),(102,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(31,1),(56,1),(59,1)}
        44:{1,2,5,6}:{(30,1),(32,1),(59,1)}
        45:{1,2,4,6,7}:{(31,1),(32,1),(59,1),(61,1),(89,1)}
        46:{1,2,3,6}:{(32,1),(33,1)}
        47:{1,2,3,4,7}:{(33,1),(62,1),(89,1)}
        48:{2,3,4,6,7}:{(34,1),(36,1),(55,1),(63,1),(102,1)}
        49:{1,3,4,5,7}:{(34,1),(35,1),(56,1),(63,1),(64,1),(87,1)}
        50:{2,4,5,6}:{(35,1),(64,1),(65,1)}
        51:{1,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1)}
        52:{2,3,4,5,7}:{(38,1),(40,1),(67,1),(68,1),(79,1)}
        53:{1,3,4,5,6}:{(38,1),(41,1),(68,1),(69,1),(73,1)}
        54:{1,3,4,5,6,7}:{(39,1),(70,1),(94,1)}
        55:{2,4,6,7}:{(39,1),(40,1),(42,1),(71,1)}
        56:{1,4,5,7}:{(40,1),(41,1),(43,1),(71,1)}
        57:{1,2,4,5,6}:{(41,1),(44,1),(50,1),(69,1),(72,1),(73,1),(76,1)}
        58:{1,3,5,6,7}:{(42,1),(43,1),(71,1),(74,1),(98,1)}
        59:{1,2,5,7}:{(43,1),(44,1),(45,1)}
        60:{1,2,3,5,6}:{(44,1),(46,1),(73,1),(75,1),(76,1),(77,1)}
        61:{1,2,3,6,7}:{(45,1),(46,1),(75,1),(98,1)}
        62:{1,2,3,4,6}:{(46,1),(47,1),(76,1),(77,1)}
        63:{1,3,4,6,7}:{(48,1),(49,1),(51,1),(71,1),(78,1),(98,1)}
        64:{2,4,5,7}:{(49,1),(50,1),(78,1),(79,1)}
        65:{2,3,5,6}:{(50,1),(73,1),(79,1),(80,1)}
        66:{2,5,6,7}:{(51,1),(78,1)}
        67:{2,3,4,6,7}:{(52,1),(55,1),(81,1),(82,1),(91,1)}
        68:{1,3,4,5,7}:{(52,1),(53,1),(56,1),(82,1),(83,1),(87,1)}
        69:{2,4,5,6}:{(53,1),(83,1),(84,1)}
        70:{2,4,5,6,7}:{(54,1),(55,1),(81,1),(85,1),(101,1)}
        71:{1,4,6,7}:{(55,1),(56,1),(58,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(59,1),(64,1),(83,1),(86,1),(87,1),(89,1)}
        73:{1,3,5,6}:{(57,1),(65,1),(84,1),(87,1),(88,1)}
        74:{1,2,5,6,7}:{(58,1),(59,1),(66,1),(86,1),(101,1)}
        75:{1,2,3,5,7}:{(59,1),(60,1),(61,1),(87,1),(89,1)}
        76:{1,2,4,6}:{(60,1),(88,1),(89,1),(90,1)}
        77:{1,2,3,5}:{(62,1),(90,1)}
        78:{2,4,6,7}:{(63,1),(64,1),(66,1),(91,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(87,1),(91,1),(92,1)}
        80:{2,3,4,6}:{(65,1),(88,1),(92,1),(93,1)}
        81:{2,3,5,6,7}:{(67,1),(70,1),(94,1)}
        82:{1,3,4,6,7}:{(67,1),(68,1),(71,1),(94,1),(95,1),(98,1)}
        83:{2,4,5,7}:{(68,1),(69,1),(95,1),(96,1)}
        84:{2,3,5,6}:{(69,1),(73,1),(96,1),(97,1)}
        85:{1,4,5,6,7}:{(70,1),(71,1),(94,1)}
        86:{1,2,4,6,7}:{(71,1),(72,1),(74,1),(78,1),(95,1),(98,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(79,1),(96,1),(98,1),(99,1)}
        88:{1,3,4,6}:{(73,1),(76,1),(80,1),(97,1),(99,1),(100,1)}
        89:{1,2,4,7}:{(75,1),(76,1),(99,1)}
        90:{1,2,4,5}:{(76,1),(77,1),(100,1)}
        91:{2,3,6,7}:{(78,1),(79,1),(98,1)}
        92:{2,3,4,7}:{(79,1),(80,1),(99,1)}
        93:{2,3,4,5}:{(80,1),(100,1)}
        94:{1,3,5,6,7}:{(81,1),(82,1),(85,1),(101,1)}
        95:{2,4,6,7}:{(82,1),(83,1),(101,1),(102,1)}
        96:{2,3,5,7}:{(83,1),(84,1),(87,1),(102,1),(103,1)}
        97:{2,3,4,6}:{(84,1),(88,1),(103,1),(104,1)}
        98:{1,3,6,7}:{(86,1),(87,1),(91,1),(102,1)}
        99:{1,3,4,7}:{(87,1),(88,1),(89,1),(92,1),(103,1)}
       100:{1,3,4,5}:{(88,1),(90,1),(93,1),(104,1)}
       101:{2,5,6,7}:{(94,1),(95,1)}
       102:{2,3,6,7}:{(95,1),(96,1),(98,1)}
       103:{2,3,4,7}:{(96,1),(97,1),(99,1)}
       104:{2,3,4,5}:{(97,1),(100,1)}

3030 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(49,1),(79,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(10,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(36,1),(38,1)}
         7:{2,3,4,5}:{(10,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(36,1),(69,1),(74,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(91,1)}
        10:{1,3,4,5}:{(5,1),(7,1),(20,1),(22,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(26,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(22,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(24,1),(26,1),(54,1),(55,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(27,1),(29,1),(59,1)}
        16:{2,3,4,6}:{(7,1),(22,1),(28,1),(29,1)}
        17:{2,4,5,6}:{(8,1),(28,1),(30,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(30,1),(31,1),(54,1),(83,1),(86,1)}
        19:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(81,1),(99,1)}
        20:{2,3,4,5}:{(10,1),(34,1)}
        21:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(33,1),(35,1),(37,1),(70,1)}
        22:{1,3,4,6}:{(10,1),(13,1),(16,1),(34,1),(36,1),(37,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(35,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(14,1),(39,1),(71,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(36,1),(38,1),(40,1),(64,1),(69,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(37,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(42,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(44,1)}
        29:{2,3,4,7}:{(16,1),(37,1),(44,1)}
        30:{2,4,5,7}:{(17,1),(18,1),(44,1),(45,1)}
        31:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(46,1),(71,1),(94,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(46,1),(47,1)}
        33:{2,3,4,5,7}:{(20,1),(21,1),(48,1),(50,1),(80,1)}
        34:{2,3,4,6}:{(20,1),(22,1),(49,1),(50,1)}
        35:{1,3,4,6}:{(21,1),(23,1),(27,1),(48,1),(52,1)}
        36:{1,3,5,6}:{(22,1),(25,1),(28,1),(49,1),(54,1)}
        37:{1,3,4,7}:{(22,1),(26,1),(29,1),(50,1),(54,1)}
        38:{1,2,5,6}:{(23,1),(52,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(53,1),(55,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(54,1),(55,1),(56,1),(78,1),(83,1)}
        41:{2,3,4,5,6}:{(28,1),(51,1),(57,1),(58,1)}
        42:{2,3,5,6}:{(27,1),(52,1),(58,1),(59,1)}
        43:{2,3,4,6,7}:{(27,1),(29,1),(53,1),(59,1),(60,1),(87,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(30,1),(54,1),(60,1)}
        45:{2,4,6,7}:{(30,1),(31,1),(60,1),(61,1)}
        46:{1,3,5,6,7}:{(31,1),(32,1),(61,1),(62,1),(88,1)}
        47:{2,4,5,6,7}:{(32,1),(62,1),(63,1),(99,1)}
        48:{2,3,4,6}:{(33,1),(35,1),(65,1)}
        49:{2,3,5,6}:{(34,1),(36,1),(64,1),(67,1)}
        50:{2,3,4,7}:{(34,1),(37,1),(67,1)}
        51:{1,3,4,5,6}:{(36,1),(41,1),(64,1),(68,1),(69,1),(90,1)}
        52:{1,3,5,6}:{(35,1),(38,1),(42,1),(65,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(35,1),(37,1),(39,1),(43,1),(66,1),(70,1),(71,1),(94,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(40,1),(44,1),(67,1),(71,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(70,1)}
        56:{1,2,4,6,7}:{(40,1),(45,1),(71,1),(72,1),(89,1),(94,1)}
        57:{2,3,4,5,7}:{(41,1),(44,1),(68,1),(73,1),(75,1)}
        58:{2,4,5,6}:{(42,1),(69,1),(74,1),(75,1)}
        59:{2,3,5,7}:{(42,1),(43,1),(70,1),(75,1)}
        60:{2,3,6,7}:{(44,1),(45,1),(71,1)}
        61:{2,5,6,7}:{(45,1),(46,1)}
        62:{1,4,5,6,7}:{(46,1),(47,1),(77,1),(94,1)}
        63:{3,4,5,6,7}:{(47,1),(103,1)}
        64:{2,4,5,6}:{(49,1),(51,1),(78,1)}
        65:{2,3,5,6}:{(48,1),(52,1),(79,1),(80,1)}
        66:{2,3,4,6,7}:{(48,1),(50,1),(53,1),(80,1),(81,1),(99,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(54,1),(78,1),(81,1)}
        68:{1,3,4,5,7}:{(51,1),(54,1),(57,1),(78,1),(82,1),(83,1),(98,1)}
        69:{1,4,5,6}:{(52,1),(58,1),(79,1),(83,1)}
        70:{1,3,5,7}:{(52,1),(53,1),(55,1),(59,1),(80,1),(83,1)}
        71:{1,3,6,7}:{(54,1),(56,1),(60,1),(81,1)}
        72:{1,2,5,6,7}:{(55,1),(56,1),(61,1),(84,1),(97,1)}
        73:{2,3,4,6,7}:{(57,1),(60,1),(82,1),(85,1),(87,1)}
        74:{3,4,5,6}:{(58,1),(86,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(83,1),(86,1),(87,1)}
        76:{2,3,5,6,7}:{(59,1),(60,1),(61,1),(84,1),(87,1),(88,1)}
        77:{2,4,5,6,7}:{(61,1),(62,1),(87,1),(88,1)}
        78:{2,4,5,7}:{(64,1),(67,1),(68,1),(89,1)}
        79:{2,4,5,6}:{(65,1),(69,1),(90,1),(91,1)}
        80:{2,3,5,7}:{(65,1),(66,1),(70,1),(91,1)}
        81:{2,3,6,7}:{(67,1),(71,1),(89,1)}
        82:{1,3,4,6,7}:{(68,1),(71,1),(73,1),(89,1),(93,1),(94,1),(103,1)}
        83:{1,4,5,7}:{(69,1),(70,1),(75,1),(91,1),(94,1)}
        84:{1,3,5,6,7}:{(70,1),(71,1),(72,1),(76,1),(92,1),(94,1)}
        85:{2,3,5,6,7}:{(73,1),(93,1),(95,1)}
        86:{3,4,5,7}:{(74,1),(75,1),(96,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(94,1),(96,1)}
        88:{3,5,6,7}:{(77,1),(96,1)}
        89:{2,4,6,7}:{(78,1),(81,1),(82,1),(97,1)}
        90:{3,4,5,6}:{(79,1),(98,1)}
        91:{2,4,5,7}:{(79,1),(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,5,6,7}:{(80,1),(81,1),(84,1),(97,1),(99,1),(104,1)}
        93:{1,3,5,6,7}:{(82,1),(85,1),(97,1),(100,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(87,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(87,1),(100,1),(101,1)}
        96:{3,4,6,7}:{(86,1),(87,1),(88,1)}
        97:{2,5,6,7}:{(89,1),(93,1)}
        98:{3,4,5,7}:{(90,1),(91,1),(103,1)}
        99:{2,4,6,7}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(95,1),(102,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{2,4,5,6,7}:{(97,1),(99,1),(100,1),(104,1)}
       103:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3031 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3032 :   0:{1,2,3,4,6}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,4,7}:{(0,1),(5,1),(28,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(85,1)}
         4:{1,2,4,5}:{(2,1),(11,1),(13,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(14,1)}
         6:{1,2,3,5,6}:{(2,1),(13,1),(14,1),(15,1),(41,1),(45,1)}
         7:{2,3,4,5}:{(11,1),(17,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(41,1),(77,1),(81,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(70,1),(97,1)}
        10:{2,3,4,5,6}:{(22,1),(23,1),(30,1),(65,1)}
        11:{1,3,4,5}:{(4,1),(7,1),(21,1),(25,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(63,1)}
        13:{1,2,4,6}:{(4,1),(6,1),(25,1),(28,1)}
        14:{1,2,3,6}:{(5,1),(27,1)}
        15:{1,2,3,5,7}:{(6,1),(28,1),(29,1),(59,1),(63,1)}
        16:{2,3,4,5,7}:{(7,1),(24,1),(31,1),(32,1),(66,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(30,1),(32,1)}
        18:{2,4,5,6}:{(8,1),(30,1),(33,1)}
        19:{1,3,4,5,7}:{(8,1),(9,1),(33,1),(34,1),(59,1),(91,1),(93,1)}
        20:{2,3,4,6,7}:{(9,1),(34,1),(35,1),(84,1),(101,1)}
        21:{2,3,4,5}:{(11,1),(37,1)}
        22:{1,3,4,5,6}:{(10,1),(38,1),(39,1),(41,1),(77,1),(96,1)}
        23:{2,3,4,5,7}:{(10,1),(39,1),(40,1),(47,1),(82,1)}
        24:{1,3,4,5,7}:{(11,1),(12,1),(16,1),(36,1),(42,1),(43,1),(78,1)}
        25:{1,3,4,6}:{(11,1),(13,1),(17,1),(37,1),(41,1),(43,1)}
        26:{1,2,4,5,6}:{(13,1),(18,1),(38,1),(41,1),(44,1),(45,1),(77,1)}
        27:{1,2,4,6}:{(12,1),(14,1),(42,1),(45,1)}
        28:{1,2,4,7}:{(13,1),(15,1),(43,1)}
        29:{1,2,3,6,7}:{(14,1),(15,1),(46,1),(76,1)}
        30:{2,3,5,6}:{(17,1),(18,1),(41,1),(47,1)}
        31:{2,3,4,6}:{(16,1),(42,1),(48,1)}
        32:{2,3,4,7}:{(17,1),(43,1),(47,1)}
        33:{2,4,5,7}:{(18,1),(19,1),(47,1),(50,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(50,1),(51,1),(76,1),(99,1),(100,1)}
        35:{2,3,5,6,7}:{(20,1),(51,1),(52,1)}
        36:{2,3,4,5,7}:{(21,1),(24,1),(54,1),(55,1),(86,1)}
        37:{2,3,4,6}:{(21,1),(25,1),(53,1),(55,1)}
        38:{2,4,5,6}:{(22,1),(53,1),(56,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(56,1),(57,1),(59,1),(91,1),(102,1)}
        40:{2,3,4,6,7}:{(23,1),(57,1),(58,1),(64,1),(92,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(30,1),(53,1),(59,1)}
        42:{1,3,4,6}:{(24,1),(27,1),(31,1),(54,1),(60,1)}
        43:{1,3,4,7}:{(25,1),(28,1),(32,1),(55,1),(59,1)}
        44:{1,2,4,5,7}:{(26,1),(28,1),(33,1),(56,1),(59,1),(62,1),(63,1),(91,1)}
        45:{1,2,5,6}:{(27,1),(60,1),(63,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(61,1),(63,1)}
        47:{2,3,5,7}:{(30,1),(32,1),(33,1),(59,1),(64,1)}
        48:{2,3,5,6}:{(31,1),(60,1),(65,1),(66,1)}
        49:{2,3,4,6,7}:{(31,1),(32,1),(61,1),(64,1),(66,1),(92,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(64,1),(67,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(67,1),(68,1),(94,1)}
        52:{2,4,5,6,7}:{(35,1),(68,1),(69,1),(101,1)}
        53:{2,3,5,6}:{(37,1),(38,1),(41,1),(70,1)}
        54:{2,3,4,6}:{(36,1),(42,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(43,1),(70,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(70,1),(73,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(73,1),(74,1),(76,1),(99,1),(104,1)}
        58:{2,3,5,6,7}:{(40,1),(74,1),(75,1)}
        59:{1,3,5,7}:{(41,1),(43,1),(44,1),(47,1),(70,1),(76,1)}
        60:{1,3,5,6}:{(42,1),(45,1),(48,1),(71,1),(77,1),(78,1)}
        61:{1,3,4,6,7}:{(42,1),(43,1),(46,1),(49,1),(72,1),(76,1),(78,1),(99,1)}
        62:{1,2,4,6,7}:{(44,1),(50,1),(73,1),(76,1),(79,1),(99,1)}
        63:{1,2,5,7}:{(45,1),(46,1),(78,1)}
        64:{2,3,6,7}:{(47,1),(50,1),(76,1)}
        65:{2,4,5,6}:{(48,1),(77,1),(81,1),(82,1)}
        66:{2,3,5,7}:{(48,1),(49,1),(78,1),(82,1)}
        67:{2,5,6,7}:{(50,1),(51,1)}
        68:{1,4,5,6,7}:{(51,1),(52,1),(83,1),(99,1)}
        69:{3,4,5,6,7}:{(52,1),(104,1)}
        70:{2,3,5,7}:{(53,1),(55,1),(56,1),(59,1),(84,1)}
        71:{2,3,5,6}:{(54,1),(60,1),(85,1),(86,1)}
        72:{2,3,4,6,7}:{(54,1),(55,1),(61,1),(84,1),(86,1),(101,1)}
        73:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1)}
        74:{1,3,5,6,7}:{(57,1),(58,1),(87,1),(88,1),(103,1)}
        75:{2,4,5,6,7}:{(58,1),(88,1),(89,1),(92,1)}
        76:{1,3,6,7}:{(59,1),(62,1),(64,1),(84,1)}
        77:{1,4,5,6}:{(60,1),(65,1),(85,1),(91,1)}
        78:{1,3,5,7}:{(60,1),(61,1),(63,1),(66,1),(86,1),(91,1)}
        79:{1,2,5,6,7}:{(62,1),(63,1),(67,1),(87,1),(90,1)}
        80:{2,3,5,6,7}:{(64,1),(66,1),(67,1),(90,1),(92,1),(94,1)}
        81:{3,4,5,6}:{(65,1),(93,1)}
        82:{2,4,5,7}:{(65,1),(66,1),(91,1),(92,1),(93,1)}
        83:{2,4,5,6,7}:{(67,1),(68,1),(92,1),(94,1)}
        84:{2,3,6,7}:{(70,1),(73,1),(76,1)}
        85:{2,4,5,6}:{(71,1),(77,1),(96,1),(97,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(78,1),(97,1)}
        87:{2,5,6,7}:{(73,1),(74,1)}
        88:{1,4,5,6,7}:{(74,1),(75,1),(98,1),(99,1)}
        89:{3,4,5,6,7}:{(75,1),(100,1)}
        90:{1,3,5,6,7}:{(76,1),(78,1),(79,1),(80,1),(95,1),(99,1)}
        91:{1,4,5,7}:{(77,1),(78,1),(82,1),(97,1),(99,1)}
        92:{2,4,6,7}:{(80,1),(82,1),(99,1),(100,1)}
        93:{3,4,5,7}:{(81,1),(82,1),(100,1)}
        94:{3,5,6,7}:{(83,1),(100,1)}
        95:{2,3,5,6,7}:{(84,1),(86,1),(87,1),(90,1),(101,1),(103,1)}
        96:{3,4,5,6}:{(85,1),(102,1)}
        97:{2,4,5,7}:{(85,1),(86,1),(91,1),(101,1),(102,1)}
        98:{2,4,5,6,7}:{(87,1),(88,1),(101,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(91,1),(92,1),(101,1)}
       100:{3,4,6,7}:{(92,1),(93,1),(94,1)}
       101:{2,4,6,7}:{(95,1),(97,1),(99,1),(104,1)}
       102:{3,4,5,7}:{(96,1),(97,1),(104,1)}
       103:{3,5,6,7}:{(98,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

3033 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(41,1),(45,1),(84,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(62,1),(103,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(72,1),(95,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(84,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(42,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(18,1),(19,1),(82,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(103,1)}
        17:{1,2,4,5,6}:{(11,1),(26,1),(27,1),(60,1),(70,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        18:{2,4,5,7}:{(10,1),(11,1),(25,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(101,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(18,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(42,1),(81,1),(86,1),(114,1)}
        27:{1,3,5,6}:{(17,1),(19,1),(41,1),(42,1),(43,1),(89,1),(111,1),(120,1),(132,1)}
        28:{2,3,5,7}:{(18,1),(19,1),(40,1),(42,1),(44,1)}
        29:{2,3,4,6}:{(19,1),(43,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(52,1),(135,1)}
        33:{1,2,3,5,6}:{(41,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(57,1),(127,1)}
        41:{2,3,5,6}:{(27,1),(59,1),(60,1),(101,1),(126,1),(127,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(61,1)}
        43:{1,3,4,6}:{(27,1),(29,1),(60,1),(61,1),(62,1)}
        44:{2,3,4,7}:{(28,1),(29,1),(61,1)}
        45:{2,3,4,5}:{(29,1),(62,1),(101,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(72,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(59,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(60,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(41,1),(75,1),(76,1),(111,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(42,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(44,1),(47,1),(78,1),(79,1),(84,1)}
        59:{2,3,5,7}:{(41,1),(42,1),(77,1),(81,1),(114,1)}
        60:{2,4,6}:{(41,1),(43,1),(81,1),(82,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(44,1),(81,1)}
        62:{1,3,4,5}:{(43,1),(45,1),(82,1),(89,1),(111,1)}
        63:{2,3,4,5,7}:{(44,1),(45,1),(51,1),(79,1),(83,1),(84,1),(116,1),(133,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(91,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(52,1),(87,1),(115,1),(135,1)}
        68:{1,3,4,6}:{(50,1),(80,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(81,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(82,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(95,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(60,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(65,1),(97,1),(98,1),(103,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,3,4,6}:{(60,1),(68,1),(94,1),(100,1),(101,1),(127,1)}
        81:{2,4,7}:{(59,1),(60,1),(61,1)}
        82:{2,4,5}:{(60,1),(62,1),(101,1)}
        83:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(102,1),(103,1),(107,1),(123,1),(136,1)}
        84:{2,3,4,6}:{(63,1),(72,1),(99,1),(103,1),(127,1),(138,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(72,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(100,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(101,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(102,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,3,4,6}:{(76,1),(80,1),(110,1),(111,1),(132,1)}
        95:{1,2,4,7}:{(75,1),(76,1),(81,1),(110,1)}
        96:{1,2,4,5}:{(76,1),(82,1),(111,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(81,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(84,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(81,1),(88,1),(110,1),(116,1)}
       101:{2,3,5}:{(80,1),(82,1),(89,1),(111,1)}
       102:{2,4,5,7}:{(81,1),(82,1),(83,1),(114,1),(116,1),(117,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(91,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(91,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(95,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,3,5}:{(94,1),(96,1),(101,1)}
       112:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(122,1),(123,1),(124,1),(136,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(103,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(102,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(102,1),(103,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(112,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

3034 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

3035 :   0:{2,3,4,5,6}:{(2,1),(3,1),(38,1),(95,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(28,1),(29,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(89,1),(92,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(57,1),(102,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(17,1),(81,1)}
         5:{1,2,3,4,7}:{(1,1),(14,1),(47,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{2,4,5,6}:{(2,1),(17,1),(18,1)}
         8:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(19,1),(44,1),(99,1),(100,1)}
         9:{2,3,4,6,7}:{(3,1),(19,1),(20,1),(73,1),(97,1)}
        10:{1,3,4,5,6}:{(4,1),(21,1),(22,1),(25,1),(89,1),(101,1)}
        11:{2,3,4,5,7}:{(4,1),(22,1),(23,1),(33,1),(93,1)}
        12:{1,2,4,5,6}:{(7,1),(21,1),(25,1),(26,1),(28,1),(65,1),(89,1)}
        13:{1,2,4,5}:{(6,1),(24,1),(28,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,2,3,5,6}:{(6,1),(25,1),(28,1),(29,1),(30,1),(65,1)}
        16:{2,3,4,5}:{(24,1),(32,1)}
        17:{2,3,5,6}:{(7,1),(25,1),(32,1),(33,1)}
        18:{2,4,5,7}:{(7,1),(8,1),(33,1),(34,1)}
        19:{1,3,4,6,7}:{(8,1),(9,1),(34,1),(35,1),(63,1),(91,1),(94,1)}
        20:{2,3,5,6,7}:{(9,1),(35,1),(36,1)}
        21:{2,4,5,6}:{(10,1),(38,1),(39,1)}
        22:{1,3,4,5,7}:{(10,1),(11,1),(39,1),(40,1),(44,1),(99,1),(104,1)}
        23:{2,3,4,6,7}:{(11,1),(40,1),(41,1),(51,1),(83,1)}
        24:{1,3,4,5}:{(13,1),(16,1),(37,1),(43,1)}
        25:{1,3,5,6}:{(12,1),(17,1),(38,1),(43,1),(44,1)}
        26:{1,2,4,5,7}:{(12,1),(18,1),(39,1),(44,1),(45,1),(47,1),(80,1),(99,1)}
        27:{1,2,4,5,7}:{(13,1),(14,1),(42,1),(46,1),(47,1),(80,1)}
        28:{1,2,4,6}:{(13,1),(15,1),(43,1),(47,1)}
        29:{1,2,3,6}:{(14,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(44,1),(47,1),(48,1),(80,1)}
        31:{2,3,4,5,7}:{(16,1),(42,1),(49,1),(50,1),(82,1)}
        32:{2,3,4,6}:{(16,1),(17,1),(43,1),(50,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(44,1),(50,1),(51,1)}
        34:{2,4,6,7}:{(18,1),(19,1),(51,1),(52,1)}
        35:{1,3,5,6,7}:{(19,1),(20,1),(52,1),(53,1),(84,1)}
        36:{2,4,5,6,7}:{(20,1),(53,1),(54,1),(97,1)}
        37:{2,3,4,5}:{(24,1),(56,1)}
        38:{2,3,5,6}:{(21,1),(25,1),(56,1),(57,1)}
        39:{2,4,5,7}:{(21,1),(22,1),(57,1),(58,1)}
        40:{1,3,4,6,7}:{(22,1),(23,1),(58,1),(59,1),(63,1),(91,1),(103,1)}
        41:{2,3,5,6,7}:{(23,1),(59,1),(60,1)}
        42:{1,3,4,5,7}:{(24,1),(27,1),(31,1),(55,1),(61,1),(62,1),(90,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(28,1),(32,1),(56,1),(62,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(33,1),(57,1),(62,1),(63,1)}
        45:{1,2,4,6,7}:{(26,1),(34,1),(58,1),(63,1),(64,1),(91,1)}
        46:{1,2,4,6}:{(27,1),(29,1),(61,1),(65,1)}
        47:{1,2,4,7}:{(28,1),(30,1),(62,1)}
        48:{1,2,3,6,7}:{(29,1),(30,1),(63,1),(66,1)}
        49:{2,3,4,6}:{(31,1),(61,1),(67,1)}
        50:{2,3,4,7}:{(32,1),(33,1),(62,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(63,1)}
        52:{2,5,6,7}:{(34,1),(35,1)}
        53:{1,4,5,6,7}:{(35,1),(36,1),(70,1),(91,1)}
        54:{3,4,5,6,7}:{(36,1),(103,1)}
        55:{2,3,4,5,7}:{(37,1),(42,1),(71,1),(72,1),(96,1)}
        56:{2,3,4,6}:{(37,1),(38,1),(43,1),(72,1)}
        57:{2,3,5,7}:{(38,1),(39,1),(44,1),(72,1),(73,1)}
        58:{2,4,6,7}:{(39,1),(40,1),(73,1),(74,1)}
        59:{1,3,5,6,7}:{(40,1),(41,1),(74,1),(75,1),(98,1)}
        60:{2,4,5,6,7}:{(41,1),(75,1),(76,1),(83,1)}
        61:{1,3,4,6}:{(42,1),(46,1),(49,1),(71,1),(77,1)}
        62:{1,3,4,7}:{(43,1),(44,1),(47,1),(50,1),(72,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(51,1),(73,1)}
        64:{1,2,5,6,7}:{(45,1),(52,1),(74,1),(79,1),(80,1)}
        65:{1,2,5,6}:{(46,1),(77,1),(80,1)}
        66:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(78,1),(80,1)}
        67:{2,3,5,6}:{(49,1),(77,1),(81,1),(82,1)}
        68:{2,3,4,6,7}:{(49,1),(50,1),(51,1),(78,1),(82,1),(83,1)}
        69:{2,3,5,6,7}:{(51,1),(52,1),(79,1),(82,1),(83,1),(84,1)}
        70:{2,4,5,6,7}:{(52,1),(53,1),(83,1),(84,1)}
        71:{2,3,4,6}:{(55,1),(61,1),(85,1)}
        72:{2,3,4,7}:{(56,1),(57,1),(62,1)}
        73:{2,3,6,7}:{(57,1),(58,1),(63,1)}
        74:{2,5,6,7}:{(58,1),(59,1)}
        75:{1,4,5,6,7}:{(59,1),(60,1),(88,1),(91,1)}
        76:{3,4,5,6,7}:{(60,1),(94,1)}
        77:{1,3,5,6}:{(61,1),(65,1),(67,1),(85,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(61,1),(62,1),(63,1),(66,1),(68,1),(86,1),(90,1),(91,1)}
        79:{1,3,5,6,7}:{(63,1),(64,1),(69,1),(87,1),(90,1),(91,1)}
        80:{1,2,5,7}:{(65,1),(66,1),(90,1)}
        81:{2,4,5,6}:{(67,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(90,1),(93,1)}
        83:{2,4,6,7}:{(69,1),(91,1),(93,1),(94,1)}
        84:{3,5,6,7}:{(70,1),(94,1)}
        85:{2,3,5,6}:{(71,1),(77,1),(95,1),(96,1)}
        86:{2,3,4,6,7}:{(71,1),(72,1),(73,1),(78,1),(96,1),(97,1)}
        87:{2,3,5,6,7}:{(73,1),(74,1),(79,1),(96,1),(97,1),(98,1)}
        88:{2,4,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{1,4,5,6}:{(77,1),(81,1),(95,1),(99,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(82,1),(96,1),(99,1)}
        91:{1,4,6,7}:{(79,1),(83,1),(97,1),(99,1)}
        92:{3,4,5,6}:{(81,1),(100,1)}
        93:{2,4,5,7}:{(81,1),(82,1),(83,1),(99,1),(100,1)}
        94:{3,4,6,7}:{(83,1),(84,1),(100,1)}
        95:{2,4,5,6}:{(85,1),(89,1),(101,1),(102,1)}
        96:{2,3,5,7}:{(85,1),(86,1),(90,1),(102,1)}
        97:{2,4,6,7}:{(87,1),(91,1),(102,1),(103,1)}
        98:{3,5,6,7}:{(88,1),(103,1)}
        99:{1,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(102,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,6}:{(95,1),(104,1)}
       102:{2,4,5,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{3,4,6,7}:{(97,1),(98,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

3036 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(103,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(51,1),(98,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(100,1),(101,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(16,1),(96,1)}
         4:{2,3,4,6,7}:{(1,1),(13,1),(14,1),(66,1),(90,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(37,1),(93,1),(95,1)}
         6:{2,4,5,6}:{(2,1),(15,1),(16,1)}
         7:{2,3,4,5,7}:{(3,1),(17,1),(18,1),(29,1),(87,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(21,1),(100,1),(104,1)}
         9:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(23,1),(85,1),(100,1)}
        10:{1,2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(59,1),(85,1)}
        11:{1,2,3,4,6}:{(23,1),(24,1),(25,1),(59,1)}
        12:{3,4,5,6,7}:{(26,1),(97,1)}
        13:{2,3,5,6,7}:{(4,1),(26,1),(27,1)}
        14:{1,3,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(54,1),(82,1),(86,1)}
        15:{2,4,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(29,1),(30,1)}
        17:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(45,1),(75,1)}
        18:{1,3,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(93,1),(102,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(35,1)}
        20:{1,2,4,5,7}:{(9,1),(15,1),(34,1),(36,1),(37,1),(40,1),(72,1),(93,1)}
        21:{1,3,5,6}:{(9,1),(16,1),(35,1),(37,1),(38,1)}
        22:{1,2,3,5,7}:{(10,1),(37,1),(39,1),(40,1),(72,1)}
        23:{1,2,4,6}:{(10,1),(38,1),(40,1),(41,1)}
        24:{1,2,3,4,7}:{(11,1),(40,1),(42,1)}
        25:{1,2,3,5}:{(11,1),(41,1)}
        26:{2,4,5,6,7}:{(12,1),(13,1),(43,1),(90,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(14,1),(15,1),(44,1),(45,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(37,1),(45,1),(46,1)}
        30:{2,3,4,6}:{(16,1),(38,1),(46,1),(47,1)}
        31:{3,4,5,6,7}:{(48,1),(86,1)}
        32:{2,3,5,6,7}:{(17,1),(48,1),(49,1)}
        33:{1,3,4,6,7}:{(17,1),(18,1),(49,1),(50,1),(54,1),(82,1),(97,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(50,1),(51,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(51,1),(52,1)}
        36:{1,2,4,6,7}:{(20,1),(28,1),(50,1),(53,1),(54,1),(82,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(29,1),(51,1),(54,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(23,1),(30,1),(52,1),(55,1),(56,1)}
        39:{1,2,3,6,7}:{(22,1),(54,1),(57,1),(59,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(55,1)}
        41:{1,2,4,5}:{(23,1),(25,1),(56,1)}
        42:{1,2,3,5,7}:{(24,1),(25,1),(58,1),(59,1)}
        43:{1,4,5,6,7}:{(26,1),(27,1),(60,1),(82,1)}
        44:{2,5,6,7}:{(27,1),(28,1)}
        45:{2,3,6,7}:{(28,1),(29,1),(54,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(55,1)}
        47:{2,3,4,5}:{(30,1),(56,1)}
        48:{2,4,5,6,7}:{(31,1),(32,1),(64,1),(75,1)}
        49:{1,3,5,6,7}:{(32,1),(33,1),(64,1),(65,1),(89,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(65,1),(66,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(66,1),(67,1)}
        52:{2,3,4,6}:{(35,1),(38,1),(67,1),(68,1)}
        53:{1,2,5,6,7}:{(36,1),(44,1),(65,1),(69,1),(72,1)}
        54:{1,3,6,7}:{(36,1),(37,1),(45,1),(66,1)}
        55:{1,3,4,7}:{(37,1),(38,1),(40,1),(46,1),(67,1)}
        56:{1,3,4,5}:{(38,1),(41,1),(47,1),(68,1)}
        57:{1,2,4,6,7}:{(39,1),(40,1),(70,1),(72,1),(73,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1),(73,1)}
        59:{1,2,3,6}:{(42,1),(73,1)}
        60:{2,4,5,6,7}:{(43,1),(44,1),(74,1),(75,1)}
        61:{2,3,5,6,7}:{(44,1),(45,1),(69,1),(74,1),(75,1),(76,1)}
        62:{2,3,4,6,7}:{(45,1),(46,1),(70,1),(75,1),(76,1),(77,1)}
        63:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(76,1),(77,1)}
        64:{1,4,5,6,7}:{(48,1),(49,1),(78,1),(82,1)}
        65:{2,5,6,7}:{(49,1),(50,1)}
        66:{2,3,6,7}:{(50,1),(51,1),(54,1)}
        67:{2,3,4,7}:{(51,1),(52,1),(55,1)}
        68:{2,3,4,5}:{(52,1),(56,1)}
        69:{1,3,5,6,7}:{(53,1),(54,1),(61,1),(79,1),(82,1),(83,1)}
        70:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(62,1),(80,1),(82,1),(83,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(58,1),(63,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,7}:{(57,1),(83,1),(85,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(84,1),(85,1)}
        74:{3,5,6,7}:{(60,1),(86,1)}
        75:{2,4,6,7}:{(61,1),(82,1),(86,1),(87,1)}
        76:{2,3,5,7}:{(62,1),(83,1),(87,1),(88,1)}
        77:{2,3,4,6}:{(63,1),(84,1),(88,1)}
        78:{2,4,5,6,7}:{(64,1),(65,1),(89,1),(90,1)}
        79:{2,3,5,6,7}:{(65,1),(66,1),(69,1),(89,1),(90,1),(91,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(70,1),(90,1),(91,1),(92,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(71,1),(91,1),(92,1)}
        82:{1,4,6,7}:{(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(76,1),(91,1),(93,1),(94,1)}
        84:{1,3,4,6}:{(71,1),(73,1),(77,1),(92,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(73,1),(94,1)}
        86:{3,4,6,7}:{(74,1),(75,1),(95,1)}
        87:{2,4,5,7}:{(75,1),(76,1),(93,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(76,1),(77,1),(94,1),(96,1)}
        89:{3,5,6,7}:{(78,1),(97,1)}
        90:{2,4,6,7}:{(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,7}:{(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1)}
        93:{1,4,5,7}:{(82,1),(83,1),(87,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(86,1),(87,1),(101,1)}
        96:{2,4,5,6}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,6,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,3,5,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6}:{(95,1),(96,1)}
       102:{3,4,5,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

3037 :   0:{1,3,4,5,6,7}:{(1,1),(8,1),(27,1),(88,1)}
         1:{2,4,5,6,7}:{(0,1),(3,1),(4,1),(15,1),(40,1),(113,1)}
         2:{1,3,4,5,6,7}:{(5,1),(19,1),(47,1),(58,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(135,1)}
         4:{1,4,5,6,7}:{(1,1),(8,1),(56,1),(136,1)}
         5:{2,4,5,6,7}:{(2,1),(10,1),(11,1),(31,1),(65,1),(79,1)}
         6:{2,3,4,5,6}:{(12,1),(13,1),(70,1),(79,1),(108,1),(153,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(14,1),(40,1),(75,1),(153,1)}
         8:{1,3,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(155,1)}
         9:{1,2,4,5,6,7}:{(4,1),(15,1),(16,1),(37,1),(40,1),(69,1),(78,1),(126,1)}
        10:{2,3,5,6,7}:{(5,1),(18,1),(19,1),(102,1)}
        11:{1,4,5,6,7}:{(5,1),(19,1),(86,1),(103,1)}
        12:{2,3,4,5,7}:{(6,1),(7,1),(22,1),(57,1),(95,1)}
        13:{1,3,4,5,6}:{(6,1),(22,1),(23,1),(51,1),(103,1),(131,1),(166,1)}
        14:{1,3,4,6,7}:{(7,1),(8,1),(22,1),(24,1),(54,1),(56,1),(166,1)}
        15:{2,5,6,7}:{(8,1),(24,1),(167,1)}
        16:{1,3,5,6,7}:{(9,1),(26,1),(27,1),(54,1),(94,1),(101,1)}
        17:{2,3,4,5,6}:{(28,1),(29,1),(74,1),(104,1),(113,1),(125,1)}
        18:{2,3,4,6,7}:{(10,1),(28,1),(30,1),(65,1),(109,1),(125,1)}
        19:{1,3,5,6,7}:{(10,1),(11,1),(30,1),(31,1),(127,1)}
        20:{1,2,4,5,6,7}:{(11,1),(31,1),(32,1),(62,1),(65,1),(69,1),(112,1),(154,1)}
        21:{1,2,3,5,6,7}:{(33,1),(39,1),(64,1),(68,1),(75,1),(109,1),(114,1),(120,1),(126,1),(154,1),(160,1),(173,1)}
        22:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(35,1),(71,1),(78,1)}
        23:{2,4,5,6}:{(13,1),(35,1),(36,1),(151,1),(172,1)}
        24:{2,4,6,7}:{(14,1),(15,1),(35,1),(38,1),(172,1)}
        25:{1,2,5,6,7}:{(15,1),(37,1),(39,1),(126,1),(160,1)}
        26:{2,3,5,6,7}:{(15,1),(16,1),(38,1),(39,1),(40,1),(75,1),(77,1),(120,1),(126,1)}
        27:{1,3,4,6,7}:{(16,1),(40,1),(41,1),(117,1)}
        28:{2,3,4,5,7}:{(17,1),(18,1),(42,1),(87,1),(128,1)}
        29:{1,3,4,5,6}:{(17,1),(42,1),(43,1),(81,1),(98,1),(136,1),(147,1)}
        30:{1,3,4,6,7}:{(18,1),(19,1),(42,1),(44,1),(84,1),(86,1),(147,1)}
        31:{2,5,6,7}:{(19,1),(44,1),(148,1)}
        32:{1,3,5,6,7}:{(20,1),(46,1),(47,1),(84,1),(94,1),(134,1)}
        33:{1,2,4,6,7}:{(21,1),(48,1),(49,1),(56,1),(86,1),(100,1),(133,1),(138,1),(141,1),(169,1)}
        34:{1,2,4,5,6}:{(23,1),(50,1),(51,1),(96,1),(103,1),(139,1),(148,1),(169,1)}
        35:{2,4,5,7}:{(22,1),(23,1),(24,1),(52,1)}
        36:{2,3,5,6}:{(23,1),(51,1),(52,1),(53,1),(164,1),(174,1)}
        37:{1,2,4,6,7}:{(24,1),(25,1),(50,1),(54,1),(56,1),(100,1),(169,1)}
        38:{2,3,6,7}:{(24,1),(52,1),(54,1),(174,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(54,1),(56,1),(101,1),(143,1)}
        40:{2,4,6,7}:{(26,1),(27,1),(56,1),(57,1),(141,1)}
        41:{1,3,4,5,7}:{(27,1),(57,1),(58,1),(101,1)}
        42:{1,3,4,5,7}:{(28,1),(29,1),(30,1),(60,1),(105,1),(112,1)}
        43:{2,4,5,6}:{(29,1),(60,1),(61,1),(123,1),(162,1)}
        44:{2,4,6,7}:{(30,1),(31,1),(60,1),(63,1),(162,1)}
        45:{1,2,5,6,7}:{(31,1),(62,1),(64,1),(154,1),(160,1)}
        46:{2,3,5,6,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(109,1),(111,1),(120,1),(154,1)}
        47:{1,3,4,6,7}:{(32,1),(65,1),(66,1),(117,1)}
        48:{1,3,4,6,7}:{(33,1),(67,1),(68,1),(117,1),(156,1),(173,1)}
        49:{1,2,4,5,7}:{(33,1),(68,1),(69,1),(78,1),(112,1),(116,1),(126,1),(154,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(71,1),(78,1),(122,1),(126,1)}
        51:{1,3,5,6}:{(34,1),(36,1),(70,1),(71,1),(72,1),(157,1),(173,1)}
        52:{2,3,5,7}:{(35,1),(36,1),(38,1),(71,1),(73,1)}
        53:{2,3,4,6}:{(36,1),(72,1),(73,1),(74,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(173,1)}
        55:{2,3,4,6,7}:{(38,1),(40,1),(73,1),(76,1),(77,1),(125,1)}
        56:{1,4,6,7}:{(39,1),(40,1),(78,1),(159,1)}
        57:{2,4,5,7}:{(40,1),(41,1),(77,1),(78,1),(79,1),(126,1)}
        58:{1,3,4,5,6}:{(41,1),(79,1),(117,1),(127,1)}
        59:{1,2,4,5,6}:{(43,1),(80,1),(81,1),(129,1),(136,1),(139,1),(167,1),(169,1)}
        60:{2,4,5,7}:{(42,1),(43,1),(44,1),(82,1)}
        61:{2,3,5,6}:{(43,1),(81,1),(82,1),(83,1),(145,1),(170,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(80,1),(84,1),(86,1),(133,1),(169,1)}
        63:{2,3,6,7}:{(44,1),(82,1),(84,1),(170,1)}
        64:{1,3,5,6,7}:{(45,1),(46,1),(84,1),(86,1),(134,1),(143,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(86,1),(87,1),(141,1)}
        66:{1,3,4,5,7}:{(47,1),(87,1),(88,1),(134,1)}
        67:{2,3,4,6,7}:{(48,1),(92,1),(93,1),(100,1),(133,1),(141,1),(144,1),(163,1),(170,1),(174,1)}
        68:{1,3,5,7}:{(48,1),(49,1),(93,1),(94,1)}
        69:{1,2,4,5,6}:{(49,1),(94,1),(103,1),(136,1),(141,1),(148,1),(167,1),(169,1)}
        70:{2,3,5,6}:{(51,1),(95,1),(96,1),(145,1),(148,1),(170,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(52,1),(54,1),(95,1),(97,1)}
        72:{1,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(98,1)}
        73:{2,3,4,7}:{(52,1),(53,1),(97,1)}
        74:{2,3,4,5}:{(53,1),(98,1),(164,1)}
        75:{2,3,6,7}:{(54,1),(95,1),(100,1),(170,1)}
        76:{1,3,4,6,7}:{(54,1),(55,1),(56,1),(97,1),(100,1),(101,1),(147,1)}
        77:{2,3,5,7}:{(55,1),(57,1),(101,1),(102,1)}
        78:{1,4,5,7}:{(56,1),(57,1),(101,1),(103,1)}
        79:{2,4,5,6}:{(57,1),(58,1),(102,1),(103,1),(141,1),(148,1)}
        80:{1,2,4,5,7}:{(59,1),(60,1),(62,1),(105,1),(112,1),(150,1),(154,1)}
        81:{1,3,5,6}:{(59,1),(61,1),(104,1),(105,1),(106,1),(157,1),(173,1)}
        82:{2,3,5,7}:{(60,1),(61,1),(63,1),(105,1),(107,1)}
        83:{2,3,4,6}:{(61,1),(106,1),(107,1),(108,1)}
        84:{1,3,6,7}:{(62,1),(63,1),(105,1),(109,1),(173,1)}
        85:{2,3,4,6,7}:{(63,1),(65,1),(107,1),(110,1),(111,1),(153,1)}
        86:{1,4,6,7}:{(64,1),(65,1),(112,1),(159,1)}
        87:{2,4,5,7}:{(65,1),(66,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,4,5,6}:{(66,1),(113,1),(117,1),(155,1)}
        89:{1,2,3,5,6}:{(70,1),(104,1),(114,1),(115,1),(157,1),(160,1),(173,1)}
        90:{1,3,4,5,7}:{(68,1),(116,1),(117,1)}
        91:{1,2,3,6,7}:{(75,1),(109,1),(114,1),(118,1),(173,1)}
        92:{1,3,4,6,7}:{(67,1),(118,1),(119,1),(156,1),(159,1),(173,1)}
        93:{2,3,5,7}:{(67,1),(68,1),(116,1),(119,1),(120,1),(126,1),(154,1)}
        94:{1,3,5,6}:{(68,1),(69,1),(117,1),(120,1),(173,1)}
        95:{2,3,5,7}:{(70,1),(71,1),(75,1),(122,1),(126,1)}
        96:{2,4,6}:{(70,1),(72,1),(122,1),(123,1)}
        97:{1,3,4,7}:{(71,1),(72,1),(73,1),(122,1)}
        98:{1,3,4,5}:{(72,1),(74,1),(123,1),(157,1)}
        99:{2,3,4,5,7}:{(73,1),(74,1),(77,1),(116,1),(124,1),(125,1),(171,1)}
       100:{2,4,6,7}:{(75,1),(76,1),(122,1),(126,1),(162,1)}
       101:{1,3,5,7}:{(76,1),(77,1),(78,1),(126,1),(127,1)}
       102:{2,3,5,6}:{(77,1),(79,1),(125,1),(127,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(127,1),(159,1)}
       104:{2,3,5,6}:{(81,1),(128,1),(129,1),(164,1),(167,1),(174,1)}
       105:{1,3,5,7}:{(80,1),(81,1),(82,1),(84,1),(128,1),(130,1)}
       106:{1,3,4,6}:{(81,1),(83,1),(129,1),(130,1),(131,1)}
       107:{2,3,4,7}:{(82,1),(83,1),(130,1)}
       108:{2,3,4,5}:{(83,1),(131,1),(145,1)}
       109:{2,3,6,7}:{(84,1),(128,1),(133,1),(174,1)}
       110:{1,3,4,6,7}:{(84,1),(85,1),(86,1),(130,1),(133,1),(134,1),(166,1)}
       111:{2,3,5,7}:{(85,1),(87,1),(134,1),(135,1)}
       112:{1,4,5,7}:{(86,1),(87,1),(134,1),(136,1)}
       113:{2,4,5,6}:{(87,1),(88,1),(135,1),(136,1),(141,1),(167,1)}
       114:{1,2,3,5,7}:{(89,1),(91,1),(95,1),(128,1),(138,1),(142,1),(168,1)}
       115:{1,2,4,6}:{(89,1),(96,1),(129,1),(137,1),(138,1),(139,1)}
       116:{2,4,5,7}:{(90,1),(93,1),(140,1),(141,1)}
       117:{1,3,4,6}:{(90,1),(94,1),(141,1)}
       118:{1,2,4,6,7}:{(91,1),(92,1),(100,1),(133,1),(138,1),(142,1),(169,1)}
       119:{1,3,5,7}:{(92,1),(93,1),(140,1),(142,1),(143,1)}
       120:{2,3,5,6}:{(93,1),(94,1),(141,1),(143,1),(148,1),(167,1),(170,1),(174,1)}
       121:{2,3,4,6}:{(96,1),(137,1),(144,1),(145,1),(170,1)}
       122:{2,4,7}:{(95,1),(96,1),(97,1)}
       123:{2,4,5}:{(96,1),(98,1),(145,1)}
       124:{1,3,4,5,7}:{(97,1),(98,1),(99,1),(101,1),(140,1),(146,1),(147,1),(168,1)}
       125:{2,3,4,6}:{(99,1),(102,1),(141,1),(147,1),(174,1)}
       126:{2,5,7}:{(100,1),(101,1),(148,1)}
       127:{1,3,5,6}:{(101,1),(102,1),(103,1),(147,1),(148,1)}
       128:{2,3,5,7}:{(104,1),(105,1),(109,1),(150,1),(154,1)}
       129:{2,4,6}:{(104,1),(106,1),(150,1),(151,1)}
       130:{1,3,4,7}:{(105,1),(106,1),(107,1),(150,1)}
       131:{1,3,4,5}:{(106,1),(108,1),(151,1),(157,1)}
       132:{2,3,4,5,7}:{(107,1),(108,1),(111,1),(116,1),(152,1),(153,1),(161,1)}
       133:{2,4,6,7}:{(109,1),(110,1),(150,1),(154,1),(172,1)}
       134:{1,3,5,7}:{(110,1),(111,1),(112,1),(154,1),(155,1)}
       135:{2,3,5,6}:{(111,1),(113,1),(153,1),(155,1)}
       136:{1,4,5,6}:{(112,1),(113,1),(155,1),(159,1)}
       137:{1,3,4,6}:{(115,1),(121,1),(149,1),(156,1),(157,1),(173,1)}
       138:{1,2,4,7}:{(114,1),(115,1),(122,1),(150,1),(156,1)}
       139:{1,2,4,5}:{(115,1),(123,1),(151,1),(157,1)}
       140:{1,4,5,7}:{(116,1),(119,1),(159,1)}
       141:{2,4,6}:{(116,1),(117,1),(120,1),(159,1)}
       142:{1,2,5,7}:{(118,1),(119,1),(126,1),(154,1),(160,1)}
       143:{1,3,5,6}:{(119,1),(120,1),(159,1),(160,1),(173,1)}
       144:{2,3,4,7}:{(121,1),(122,1),(156,1),(161,1)}
       145:{2,3,5}:{(121,1),(123,1),(157,1)}
       146:{2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(161,1),(162,1)}
       147:{1,3,4,6}:{(124,1),(125,1),(127,1),(159,1),(162,1),(173,1)}
       148:{2,5,6}:{(126,1),(127,1),(162,1)}
       149:{2,3,4,6}:{(129,1),(137,1),(163,1),(164,1),(174,1)}
       150:{2,4,7}:{(128,1),(129,1),(130,1)}
       151:{2,4,5}:{(129,1),(131,1),(164,1)}
       152:{1,3,4,5,7}:{(130,1),(131,1),(132,1),(134,1),(140,1),(165,1),(166,1),(168,1)}
       153:{2,3,4,6}:{(132,1),(135,1),(141,1),(166,1),(170,1)}
       154:{2,5,7}:{(133,1),(134,1),(167,1)}
       155:{1,3,5,6}:{(134,1),(135,1),(136,1),(166,1),(167,1)}
       156:{1,3,4,7}:{(137,1),(138,1),(144,1),(163,1),(168,1)}
       157:{1,3,5}:{(137,1),(139,1),(145,1),(164,1)}
       158:{1,2,4,5,7}:{(138,1),(139,1),(140,1),(142,1),(146,1),(165,1),(168,1),(169,1)}
       159:{1,4,6}:{(140,1),(141,1),(143,1)}
       160:{1,2,5,6}:{(142,1),(143,1),(148,1),(167,1),(169,1)}
       161:{2,3,5,7}:{(144,1),(145,1),(146,1),(168,1),(170,1)}
       162:{2,4,6}:{(146,1),(147,1),(148,1),(170,1)}
       163:{2,3,4,7}:{(149,1),(150,1),(156,1),(171,1)}
       164:{2,3,5}:{(149,1),(151,1),(157,1)}
       165:{2,4,5,7}:{(150,1),(151,1),(152,1),(154,1),(171,1),(172,1)}
       166:{1,3,4,6}:{(152,1),(153,1),(155,1),(159,1),(172,1),(173,1)}
       167:{2,5,6}:{(154,1),(155,1),(172,1)}
       168:{1,3,5,7}:{(156,1),(157,1),(158,1),(161,1),(171,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(160,1),(162,1),(172,1),(173,1)}
       170:{2,3,6}:{(161,1),(162,1),(173,1)}
       171:{2,3,5,7}:{(163,1),(164,1),(165,1),(168,1),(174,1)}
       172:{2,4,6}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,3,6}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,3,6}:{(171,1),(172,1),(173,1)}

3038 :   0:{1,3,4,5,6,7}:{(2,1),(10,1),(13,1),(56,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(19,1),(23,1),(44,1),(50,1),(51,1),(92,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(19,1),(23,1),(78,1)}
         3:{1,3,4,5,6,7}:{(8,1),(24,1),(27,1),(31,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(11,1),(64,1),(69,1),(73,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(13,1),(99,1)}
         6:{1,4,5,6,7}:{(2,1),(13,1),(33,1),(102,1)}
         7:{1,2,4,5,6,7}:{(14,1),(16,1),(39,1),(43,1),(44,1),(79,1),(80,1),(122,1)}
         8:{2,4,5,6,7}:{(3,1),(15,1),(16,1),(39,1),(43,1),(49,1)}
         9:{1,2,3,5,6,7}:{(17,1),(20,1),(40,1),(45,1),(86,1),(92,1),(93,1),(122,1),(123,1),(130,1),(131,1),(159,1)}
        10:{1,3,4,6,7}:{(4,1),(18,1),(19,1),(84,1)}
        11:{2,3,5,6,7}:{(4,1),(19,1),(20,1),(23,1),(47,1),(54,1),(86,1),(92,1),(93,1)}
        12:{2,3,4,6,7}:{(5,1),(19,1),(21,1),(22,1),(93,1),(119,1)}
        13:{1,3,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(121,1)}
        14:{1,3,5,6,7}:{(7,1),(24,1),(25,1),(64,1),(100,1),(104,1)}
        15:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(68,1)}
        16:{1,4,5,6,7}:{(8,1),(27,1),(58,1),(71,1)}
        17:{1,2,4,6,7}:{(9,1),(28,1),(29,1),(33,1),(58,1),(70,1),(101,1),(107,1),(145,1),(148,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(32,1),(69,1)}
        19:{2,4,6,7}:{(10,1),(11,1),(32,1),(33,1),(107,1)}
        20:{1,3,5,6,7}:{(11,1),(33,1),(34,1),(69,1),(73,1),(109,1)}
        21:{2,3,4,5,7}:{(12,1),(32,1),(35,1),(36,1),(115,1)}
        22:{1,3,4,6,7}:{(12,1),(13,1),(33,1),(36,1),(37,1),(73,1),(138,1)}
        23:{2,5,6,7}:{(13,1),(37,1),(140,1)}
        24:{1,3,4,6,7}:{(14,1),(38,1),(39,1),(84,1)}
        25:{2,3,5,6,7}:{(14,1),(39,1),(40,1),(43,1),(76,1),(83,1),(86,1),(122,1),(123,1)}
        26:{2,3,4,6,7}:{(15,1),(39,1),(41,1),(42,1),(89,1),(123,1)}
        27:{1,3,5,6,7}:{(15,1),(16,1),(42,1),(43,1),(91,1)}
        28:{1,2,4,5,7}:{(17,1),(44,1),(45,1),(50,1),(79,1),(85,1),(92,1),(122,1)}
        29:{1,3,4,6,7}:{(17,1),(45,1),(46,1),(84,1),(159,1),(160,1)}
        30:{2,3,4,6,7}:{(19,1),(47,1),(48,1),(54,1),(89,1),(97,1)}
        31:{1,3,4,5,6}:{(18,1),(49,1),(84,1),(91,1)}
        32:{2,4,5,7}:{(18,1),(19,1),(47,1),(49,1),(50,1),(92,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(50,1),(128,1)}
        34:{1,2,5,6,7}:{(20,1),(23,1),(51,1),(92,1),(130,1)}
        35:{2,3,4,5,6}:{(21,1),(49,1),(52,1),(119,1),(134,1),(158,1)}
        36:{1,3,4,5,7}:{(21,1),(22,1),(50,1),(52,1),(53,1),(95,1)}
        37:{2,4,6,7}:{(22,1),(23,1),(53,1),(54,1),(153,1)}
        38:{1,3,4,5,7}:{(24,1),(56,1),(57,1),(100,1)}
        39:{2,4,6,7}:{(24,1),(25,1),(57,1),(58,1),(107,1)}
        40:{1,3,5,6,7}:{(25,1),(58,1),(59,1),(100,1),(104,1),(109,1)}
        41:{2,3,4,5,7}:{(26,1),(57,1),(60,1),(61,1),(141,1)}
        42:{1,3,4,6,7}:{(26,1),(27,1),(58,1),(61,1),(62,1),(104,1),(112,1)}
        43:{2,5,6,7}:{(27,1),(62,1),(114,1)}
        44:{1,2,4,5,6}:{(28,1),(64,1),(71,1),(102,1),(107,1),(114,1),(140,1),(145,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(64,1),(65,1)}
        46:{2,3,4,6,7}:{(29,1),(65,1),(66,1),(70,1),(101,1),(107,1),(149,1),(150,1),(164,1),(165,1)}
        47:{2,3,5,7}:{(30,1),(32,1),(68,1),(69,1)}
        48:{1,3,4,6,7}:{(30,1),(33,1),(69,1),(70,1),(73,1),(112,1),(117,1)}
        49:{2,4,5,6}:{(31,1),(32,1),(68,1),(71,1),(107,1),(114,1)}
        50:{1,4,5,7}:{(32,1),(33,1),(69,1),(71,1)}
        51:{1,2,4,6,7}:{(33,1),(34,1),(37,1),(70,1),(72,1),(73,1),(145,1)}
        52:{1,3,4,5,6}:{(35,1),(36,1),(71,1),(74,1),(116,1),(138,1),(167,1)}
        53:{2,4,5,7}:{(36,1),(37,1),(74,1),(75,1)}
        54:{2,3,6,7}:{(37,1),(73,1),(75,1),(164,1)}
        55:{2,3,4,6,7}:{(39,1),(76,1),(77,1),(83,1),(119,1),(127,1)}
        56:{1,3,4,5,6}:{(38,1),(78,1),(84,1),(121,1)}
        57:{2,4,5,7}:{(38,1),(39,1),(76,1),(78,1),(79,1),(122,1)}
        58:{1,4,6,7}:{(39,1),(40,1),(79,1),(128,1)}
        59:{1,2,5,6,7}:{(40,1),(43,1),(80,1),(122,1),(130,1)}
        60:{2,3,4,5,6}:{(41,1),(78,1),(81,1),(89,1),(137,1),(155,1)}
        61:{1,3,4,5,7}:{(41,1),(42,1),(79,1),(81,1),(82,1),(125,1)}
        62:{2,4,6,7}:{(42,1),(43,1),(82,1),(83,1),(132,1)}
        63:{1,3,4,5,7}:{(45,1),(84,1),(85,1)}
        64:{1,3,5,6}:{(44,1),(45,1),(84,1),(86,1),(159,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(85,1),(86,1),(87,1),(92,1),(122,1)}
        66:{1,3,4,6,7}:{(46,1),(87,1),(88,1),(128,1),(159,1),(160,1)}
        67:{2,3,4,5,7}:{(47,1),(85,1),(89,1),(90,1),(97,1),(137,1),(154,1)}
        68:{2,3,5,6}:{(47,1),(49,1),(89,1),(91,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(50,1),(91,1),(92,1)}
        70:{2,4,6,7}:{(48,1),(92,1),(93,1),(132,1),(135,1)}
        71:{1,4,5,6}:{(49,1),(50,1),(91,1),(128,1)}
        72:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(92,1),(94,1),(95,1),(135,1)}
        73:{1,3,6,7}:{(51,1),(54,1),(93,1),(95,1),(159,1)}
        74:{2,4,5,6}:{(52,1),(53,1),(96,1),(153,1),(172,1)}
        75:{2,3,5,7}:{(53,1),(54,1),(95,1),(96,1),(97,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(99,1),(100,1)}
        77:{1,3,4,6,7}:{(55,1),(58,1),(100,1),(101,1),(104,1),(138,1),(143,1)}
        78:{2,4,5,6}:{(56,1),(57,1),(99,1),(102,1),(107,1),(140,1)}
        79:{1,4,5,7}:{(57,1),(58,1),(100,1),(102,1)}
        80:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(101,1),(103,1),(104,1),(145,1)}
        81:{1,3,4,5,6}:{(60,1),(61,1),(102,1),(105,1),(112,1),(142,1),(152,1)}
        82:{2,4,5,7}:{(61,1),(62,1),(105,1),(106,1)}
        83:{2,3,6,7}:{(62,1),(104,1),(106,1),(149,1)}
        84:{1,3,4,6}:{(63,1),(64,1),(107,1)}
        85:{2,4,5,7}:{(63,1),(65,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(64,1),(65,1),(107,1),(109,1),(114,1),(140,1),(149,1),(164,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(108,1),(109,1),(110,1)}
        88:{1,2,4,6,7}:{(66,1),(70,1),(101,1),(110,1),(111,1),(145,1),(148,1)}
        89:{2,3,4,6}:{(67,1),(68,1),(107,1),(112,1),(164,1)}
        90:{1,3,4,5,7}:{(67,1),(69,1),(108,1),(112,1),(113,1),(117,1),(146,1),(152,1)}
        91:{1,3,5,6}:{(68,1),(69,1),(71,1),(112,1),(114,1)}
        92:{2,5,7}:{(69,1),(70,1),(114,1)}
        93:{2,3,6,7}:{(70,1),(73,1),(115,1),(149,1)}
        94:{1,2,4,5,6}:{(71,1),(72,1),(74,1),(114,1),(116,1),(145,1),(151,1),(169,1)}
        95:{1,3,5,7}:{(72,1),(73,1),(75,1),(115,1),(116,1),(117,1)}
        96:{2,3,5,6}:{(74,1),(75,1),(116,1),(118,1),(164,1),(174,1)}
        97:{2,3,4,7}:{(75,1),(117,1),(118,1)}
        98:{2,3,4,5,7}:{(76,1),(85,1),(119,1),(120,1),(127,1),(133,1),(158,1)}
        99:{2,3,5,6}:{(76,1),(78,1),(119,1),(121,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(79,1),(121,1),(122,1)}
       101:{2,4,6,7}:{(77,1),(122,1),(123,1),(153,1),(156,1)}
       102:{1,4,5,6}:{(78,1),(79,1),(121,1),(128,1)}
       103:{1,2,4,5,7}:{(79,1),(80,1),(82,1),(122,1),(124,1),(125,1),(156,1)}
       104:{1,3,6,7}:{(80,1),(83,1),(123,1),(125,1),(159,1)}
       105:{2,4,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       106:{2,3,5,7}:{(82,1),(83,1),(125,1),(126,1),(127,1)}
       107:{2,4,6}:{(84,1),(85,1),(86,1),(128,1)}
       108:{1,4,5,7}:{(85,1),(87,1),(128,1)}
       109:{1,3,5,6}:{(86,1),(87,1),(128,1),(130,1),(159,1)}
       110:{1,2,5,7}:{(87,1),(88,1),(92,1),(122,1),(130,1)}
       111:{1,2,3,6,7}:{(88,1),(93,1),(123,1),(131,1),(159,1)}
       112:{1,3,4,6}:{(89,1),(90,1),(91,1),(128,1),(132,1),(159,1)}
       113:{2,4,5,7}:{(90,1),(92,1),(132,1),(133,1),(135,1),(163,1)}
       114:{2,5,6}:{(91,1),(92,1),(132,1)}
       115:{2,3,5,7}:{(92,1),(93,1),(95,1),(134,1),(135,1)}
       116:{1,3,5,6}:{(94,1),(95,1),(96,1),(134,1),(136,1),(159,1),(173,1)}
       117:{1,3,4,7}:{(95,1),(97,1),(135,1),(136,1)}
       118:{2,3,4,6}:{(96,1),(97,1),(136,1),(137,1)}
       119:{2,3,4,6}:{(98,1),(99,1),(107,1),(138,1),(149,1)}
       120:{1,3,4,5,7}:{(98,1),(100,1),(108,1),(138,1),(139,1),(143,1),(146,1),(167,1)}
       121:{1,3,5,6}:{(99,1),(100,1),(102,1),(138,1),(140,1)}
       122:{2,5,7}:{(100,1),(101,1),(140,1)}
       123:{2,3,6,7}:{(101,1),(104,1),(141,1),(164,1)}
       124:{1,2,4,5,6}:{(102,1),(103,1),(105,1),(140,1),(142,1),(145,1),(166,1),(169,1)}
       125:{1,3,5,7}:{(103,1),(104,1),(106,1),(141,1),(142,1),(143,1)}
       126:{2,3,5,6}:{(105,1),(106,1),(142,1),(144,1),(149,1),(170,1)}
       127:{2,3,4,7}:{(106,1),(143,1),(144,1)}
       128:{1,4,6}:{(107,1),(108,1),(109,1)}
       129:{1,2,4,5,7}:{(108,1),(110,1),(113,1),(139,1),(145,1),(146,1),(148,1),(169,1)}
       130:{1,2,5,6}:{(109,1),(110,1),(114,1),(140,1),(145,1)}
       131:{1,2,3,5,7}:{(110,1),(111,1),(115,1),(141,1),(146,1),(147,1),(148,1)}
       132:{2,4,6}:{(112,1),(113,1),(114,1),(149,1)}
       133:{2,3,5,7}:{(113,1),(146,1),(149,1),(150,1),(170,1)}
       134:{2,3,5,6}:{(114,1),(115,1),(116,1),(149,1),(151,1),(170,1)}
       135:{2,4,7}:{(115,1),(117,1),(151,1)}
       136:{1,3,4,6}:{(116,1),(117,1),(118,1),(151,1),(152,1)}
       137:{2,3,4,5}:{(118,1),(152,1),(174,1)}
       138:{1,3,4,6}:{(119,1),(120,1),(121,1),(128,1),(153,1),(159,1)}
       139:{2,4,5,7}:{(120,1),(122,1),(153,1),(154,1),(156,1),(172,1)}
       140:{2,5,6}:{(121,1),(122,1),(153,1)}
       141:{2,3,5,7}:{(122,1),(123,1),(125,1),(155,1),(156,1)}
       142:{1,3,5,6}:{(124,1),(125,1),(126,1),(155,1),(157,1),(159,1),(173,1)}
       143:{1,3,4,7}:{(125,1),(127,1),(156,1),(157,1)}
       144:{2,3,4,6}:{(126,1),(127,1),(157,1),(158,1)}
       145:{1,2,4,6}:{(128,1),(129,1),(130,1),(132,1),(153,1),(159,1)}
       146:{1,3,5,7}:{(129,1),(133,1),(154,1),(159,1),(160,1),(173,1)}
       147:{1,2,3,5,6}:{(130,1),(131,1),(134,1),(155,1),(159,1),(161,1),(173,1)}
       148:{1,2,4,7}:{(131,1),(135,1),(156,1),(160,1),(161,1)}
       149:{2,3,6}:{(132,1),(133,1),(159,1)}
       150:{2,3,4,7}:{(133,1),(135,1),(160,1),(162,1)}
       151:{2,4,6}:{(134,1),(135,1),(136,1),(163,1)}
       152:{1,3,4,5}:{(136,1),(137,1),(163,1),(173,1)}
       153:{2,4,6}:{(138,1),(139,1),(140,1),(164,1)}
       154:{2,3,5,7}:{(139,1),(146,1),(164,1),(165,1),(174,1)}
       155:{2,3,5,6}:{(140,1),(141,1),(142,1),(164,1),(166,1),(174,1)}
       156:{2,4,7}:{(141,1),(143,1),(166,1)}
       157:{1,3,4,6}:{(142,1),(143,1),(144,1),(166,1),(167,1)}
       158:{2,3,4,5}:{(144,1),(167,1),(170,1)}
       159:{1,3,6}:{(145,1),(146,1),(149,1),(164,1)}
       160:{1,3,4,7}:{(146,1),(148,1),(150,1),(165,1),(168,1)}
       161:{1,2,4,6}:{(147,1),(148,1),(151,1),(166,1),(168,1),(169,1)}
       162:{2,3,4,6}:{(149,1),(150,1),(151,1),(168,1),(170,1)}
       163:{2,4,5}:{(151,1),(152,1),(170,1)}
       164:{2,3,6}:{(153,1),(154,1),(159,1)}
       165:{2,3,4,7}:{(154,1),(156,1),(160,1),(171,1)}
       166:{2,4,6}:{(155,1),(156,1),(157,1),(172,1)}
       167:{1,3,4,5}:{(157,1),(158,1),(172,1),(173,1)}
       168:{1,3,4,6}:{(159,1),(160,1),(161,1),(162,1),(171,1),(173,1)}
       169:{1,2,4,5}:{(161,1),(163,1),(172,1),(173,1)}
       170:{2,3,5}:{(162,1),(163,1),(173,1)}
       171:{2,3,4,6}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       172:{2,4,5}:{(166,1),(167,1),(174,1)}
       173:{1,3,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,3,5}:{(171,1),(172,1),(173,1)}

3039 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3040 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(17,1),(36,1),(68,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(27,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(31,1),(68,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(47,1),(84,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(49,1),(56,1),(87,1),(102,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(41,1),(62,1),(74,1),(92,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(68,1),(70,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(48,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(47,1),(55,1),(84,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(84,1),(102,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(51,1)}
        19:{1,3,4,5,6,7}:{(30,1),(52,1),(61,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(74,1),(92,1),(98,1),(104,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(45,1),(70,1),(77,1),(95,1),(97,1),(103,1)}
        29:{2,3,4,5,6}:{(33,1),(42,1),(43,1),(91,1)}
        30:{2,4,5,6,7}:{(19,1),(44,1),(45,1),(70,1),(77,1)}
        31:{1,2,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(49,1),(53,1),(83,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(50,1),(51,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(51,1),(52,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(53,1)}
        36:{1,2,3,6,7}:{(23,1),(49,1),(54,1),(102,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(50,1),(53,1),(55,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(54,1),(55,1),(84,1),(86,1),(102,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(51,1),(55,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(52,1),(56,1),(102,1)}
        41:{2,3,4,5}:{(47,1),(57,1)}
        42:{1,3,4,5,6}:{(29,1),(50,1),(58,1),(59,1),(83,1)}
        43:{2,3,4,5,7}:{(29,1),(51,1),(59,1),(60,1),(100,1)}
        44:{2,3,5,6,7}:{(30,1),(60,1),(61,1)}
        45:{1,4,5,6,7}:{(30,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(33,1),(63,1),(64,1),(73,1)}
        47:{1,3,4,5}:{(31,1),(41,1),(62,1),(66,1)}
        48:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(96,1)}
        50:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        53:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        54:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        56:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(77,1),(98,1),(103,1),(104,1)}
        57:{2,3,4,6}:{(41,1),(66,1),(73,1),(74,1)}
        58:{2,4,5,6}:{(42,1),(73,1),(75,1)}
        59:{1,3,4,5,7}:{(42,1),(43,1),(69,1),(75,1),(76,1),(96,1)}
        60:{2,3,4,6,7}:{(43,1),(44,1),(70,1),(76,1),(104,1)}
        61:{1,3,5,6,7}:{(44,1),(45,1),(76,1),(77,1)}
        62:{2,3,4,5}:{(47,1),(78,1)}
        63:{1,3,4,5,6}:{(46,1),(50,1),(79,1),(80,1),(83,1)}
        64:{2,3,4,5,7}:{(46,1),(51,1),(80,1),(81,1),(88,1)}
        65:{1,3,4,5,6,7}:{(52,1),(82,1),(99,1)}
        66:{1,3,4,6}:{(47,1),(48,1),(57,1),(78,1),(83,1),(84,1)}
        67:{1,2,4,5,6}:{(48,1),(50,1),(53,1),(58,1),(79,1),(83,1),(85,1)}
        68:{1,2,4,7}:{(48,1),(49,1),(84,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(55,1),(86,1)}
        70:{2,4,6,7}:{(51,1),(52,1),(56,1),(86,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1)}
        72:{1,3,5,6,7}:{(55,1),(56,1),(86,1),(87,1),(102,1)}
        73:{2,3,5,6}:{(57,1),(58,1),(83,1),(88,1)}
        74:{2,3,4,7}:{(57,1),(84,1),(88,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,4,6,7}:{(59,1),(60,1),(61,1),(86,1),(89,1),(102,1)}
        77:{2,5,6,7}:{(61,1),(89,1)}
        78:{2,3,4,6}:{(62,1),(66,1),(91,1),(92,1)}
        79:{2,4,5,6}:{(63,1),(91,1),(93,1)}
        80:{1,3,4,5,7}:{(63,1),(64,1),(69,1),(93,1),(94,1),(96,1)}
        81:{2,3,4,6,7}:{(64,1),(70,1),(90,1),(94,1),(98,1)}
        82:{2,4,5,6,7}:{(65,1),(70,1),(90,1),(95,1),(103,1)}
        83:{1,3,5,6}:{(66,1),(67,1),(73,1),(91,1),(96,1)}
        84:{1,3,4,7}:{(66,1),(68,1),(74,1),(92,1),(96,1)}
        85:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(75,1),(93,1),(96,1),(97,1)}
        86:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        87:{1,2,5,6,7}:{(71,1),(72,1),(77,1),(97,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(75,1),(96,1),(98,1)}
        89:{2,4,6,7}:{(75,1),(76,1),(77,1),(98,1)}
        90:{2,3,5,6,7}:{(81,1),(82,1),(99,1)}
        91:{2,3,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{2,3,4,7}:{(78,1),(84,1),(100,1)}
        93:{2,4,5,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        95:{1,4,5,6,7}:{(82,1),(86,1),(99,1)}
        96:{1,3,5,7}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1)}
        97:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(89,1),(101,1),(102,1)}
        98:{2,3,6,7}:{(88,1),(89,1),(102,1)}
        99:{1,3,5,6,7}:{(90,1),(94,1),(95,1),(103,1)}
       100:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(104,1)}
       101:{2,4,6,7}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,3,6,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{2,5,6,7}:{(99,1),(101,1)}
       104:{2,3,6,7}:{(100,1),(101,1),(102,1)}

3041 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(16,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(31,1)}
         2:{1,2,3,5}:{(0,1),(6,1)}
         3:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(81,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{3,4,5,6,7}:{(14,1),(102,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,3,5,6}:{(2,1),(12,1),(16,1),(17,1),(38,1),(46,1)}
         8:{2,3,4,5}:{(15,1),(18,1)}
         9:{1,3,4,5,6}:{(3,1),(19,1),(20,1),(43,1),(46,1),(70,1)}
        10:{2,3,4,5,7}:{(3,1),(20,1),(21,1),(77,1),(92,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(31,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{2,3,4,5,7}:{(8,1),(22,1),(25,1),(33,1),(57,1)}
        14:{2,4,5,6,7}:{(5,1),(26,1),(27,1),(99,1)}
        15:{1,3,4,5}:{(6,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1)}
        17:{1,2,3,5,7}:{(7,1),(24,1),(31,1),(55,1),(64,1)}
        18:{2,3,4,6}:{(8,1),(29,1),(32,1),(33,1)}
        19:{2,4,5,6}:{(9,1),(32,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(34,1),(35,1),(59,1),(64,1),(83,1)}
        21:{2,3,4,6,7}:{(10,1),(26,1),(35,1),(88,1),(99,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(15,1),(36,1),(37,1),(47,1),(71,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(17,1),(39,1),(79,1)}
        25:{2,3,4,6}:{(13,1),(37,1),(40,1)}
        26:{2,3,5,6,7}:{(14,1),(21,1),(42,1)}
        27:{1,4,5,6,7}:{(14,1),(42,1),(44,1),(94,1)}
        28:{2,3,4,5}:{(15,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(18,1),(45,1),(46,1),(47,1)}
        30:{1,2,4,5,6}:{(16,1),(19,1),(38,1),(46,1),(48,1),(70,1),(76,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(47,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(46,1),(50,1)}
        33:{2,3,4,7}:{(18,1),(47,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,4,6,7}:{(20,1),(21,1),(42,1),(51,1),(75,1),(79,1),(94,1)}
        36:{2,3,4,5,7}:{(22,1),(28,1),(52,1),(62,1),(82,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(25,1),(52,1),(53,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(31,1),(54,1),(55,1)}
        40:{2,3,5,6}:{(25,1),(53,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(25,1),(33,1),(54,1),(57,1),(67,1),(85,1)}
        42:{1,3,5,6,7}:{(26,1),(27,1),(35,1),(58,1),(60,1)}
        43:{3,4,5,6}:{(56,1),(59,1)}
        44:{2,4,5,6,7}:{(27,1),(58,1),(60,1),(85,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(64,1)}
        47:{1,3,4,7}:{(29,1),(31,1),(33,1),(62,1),(64,1)}
        48:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(55,1),(64,1),(65,1),(83,1),(87,1)}
        49:{2,3,4,5,6}:{(32,1),(56,1),(63,1),(66,1)}
        50:{2,3,5,7}:{(32,1),(33,1),(34,1),(64,1),(67,1)}
        51:{2,4,6,7}:{(34,1),(35,1),(58,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(47,1),(69,1),(71,1),(79,1),(94,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{2,4,5,6}:{(40,1),(43,1),(70,1),(73,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(71,1),(73,1)}
        58:{2,5,6,7}:{(42,1),(51,1)}
        59:{3,4,5,7}:{(43,1),(73,1),(75,1)}
        60:{3,5,6,7}:{(44,1),(75,1)}
        61:{2,3,5,6}:{(45,1),(46,1),(76,1),(77,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(77,1)}
        63:{1,3,4,5,6}:{(46,1),(49,1),(70,1),(76,1),(78,1),(91,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        65:{1,2,4,6,7}:{(48,1),(51,1),(72,1),(79,1),(94,1),(96,1)}
        66:{2,3,4,5,7}:{(49,1),(50,1),(73,1),(78,1),(80,1)}
        67:{2,3,6,7}:{(50,1),(51,1),(79,1)}
        68:{2,3,5,6}:{(52,1),(53,1),(81,1),(82,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(62,1),(82,1),(88,1),(99,1)}
        70:{1,4,5,6}:{(53,1),(56,1),(81,1),(83,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(57,1),(82,1),(83,1)}
        72:{1,2,5,6,7}:{(55,1),(58,1),(65,1),(84,1),(101,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(59,1),(83,1),(85,1)}
        74:{2,3,5,6,7}:{(57,1),(58,1),(60,1),(67,1),(84,1),(85,1)}
        75:{3,4,6,7}:{(59,1),(60,1),(85,1)}
        76:{2,4,5,6}:{(61,1),(63,1),(87,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(87,1),(88,1)}
        78:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(83,1),(87,1),(89,1),(98,1)}
        79:{1,3,6,7}:{(64,1),(65,1),(67,1),(88,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(85,1),(89,1),(90,1)}
        81:{2,4,5,6}:{(68,1),(70,1),(91,1),(92,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(92,1)}
        83:{1,4,5,7}:{(70,1),(71,1),(73,1),(92,1),(94,1)}
        84:{1,3,5,6,7}:{(71,1),(72,1),(74,1),(79,1),(93,1),(94,1)}
        85:{2,4,6,7}:{(73,1),(74,1),(75,1),(94,1)}
        86:{3,4,5,6,7}:{(75,1),(95,1)}
        87:{2,4,5,7}:{(76,1),(77,1),(78,1),(96,1)}
        88:{2,3,6,7}:{(77,1),(79,1),(96,1)}
        89:{1,3,4,6,7}:{(78,1),(79,1),(80,1),(94,1),(96,1),(97,1),(102,1)}
        90:{2,3,5,6,7}:{(80,1),(95,1),(97,1)}
        91:{3,4,5,6}:{(81,1),(98,1)}
        92:{2,4,5,7}:{(81,1),(82,1),(83,1),(98,1),(99,1)}
        93:{2,3,5,6,7}:{(82,1),(84,1),(88,1),(99,1),(101,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(90,1),(100,1)}
        96:{2,4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{1,3,5,6,7}:{(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{3,4,5,7}:{(91,1),(92,1),(102,1)}
        99:{2,4,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       100:{1,4,5,6,7}:{(94,1),(95,1),(97,1),(103,1)}
       101:{2,5,6,7}:{(96,1),(97,1)}
       102:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       103:{2,4,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3042 :   0:{1,2,3,4,7}:{(1,1),(2,1),(40,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(7,1),(22,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(6,1),(7,1)}
         3:{3,4,5,6,7}:{(9,1),(101,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{2,3,4,5,6}:{(13,1),(14,1),(69,1),(76,1)}
         6:{1,2,4,5,7}:{(2,1),(10,1),(15,1),(16,1),(40,1),(48,1)}
         7:{1,2,3,6}:{(2,1),(16,1)}
         8:{2,3,4,5,7}:{(12,1),(15,1),(18,1),(42,1),(50,1)}
         9:{2,4,5,6,7}:{(3,1),(19,1),(20,1),(97,1)}
        10:{1,2,4,5}:{(4,1),(21,1),(22,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(22,1),(23,1),(30,1),(55,1)}
        12:{2,3,4,5}:{(21,1),(24,1)}
        13:{1,3,4,5,6}:{(5,1),(25,1),(26,1),(35,1),(55,1),(63,1)}
        14:{2,3,4,5,7}:{(5,1),(26,1),(27,1),(83,1),(88,1)}
        15:{1,3,4,5,7}:{(6,1),(8,1),(21,1),(28,1),(29,1),(56,1),(64,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(30,1)}
        17:{1,2,3,6,7}:{(7,1),(23,1),(31,1),(85,1)}
        18:{2,3,4,6}:{(8,1),(29,1),(32,1)}
        19:{2,3,5,6,7}:{(9,1),(27,1),(34,1)}
        20:{1,4,5,6,7}:{(9,1),(34,1),(36,1),(90,1)}
        21:{1,3,4,5}:{(10,1),(12,1),(37,1),(38,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(38,1),(40,1)}
        23:{1,2,3,5,7}:{(11,1),(17,1),(40,1),(48,1),(72,1)}
        24:{2,3,4,6}:{(12,1),(38,1),(41,1),(42,1)}
        25:{2,4,5,6}:{(13,1),(41,1),(43,1)}
        26:{1,3,4,5,7}:{(13,1),(14,1),(43,1),(44,1),(52,1),(72,1),(78,1)}
        27:{2,3,4,6,7}:{(14,1),(19,1),(44,1),(93,1),(97,1)}
        28:{2,3,4,5,7}:{(15,1),(37,1),(45,1),(70,1),(77,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(18,1),(45,1),(46,1)}
        30:{1,2,5,6}:{(16,1),(46,1),(48,1)}
        31:{1,2,4,6,7}:{(16,1),(17,1),(40,1),(47,1),(48,1)}
        32:{2,3,5,6}:{(18,1),(46,1),(49,1),(50,1)}
        33:{2,3,4,6,7}:{(18,1),(42,1),(47,1),(50,1),(75,1),(80,1)}
        34:{1,3,5,6,7}:{(19,1),(20,1),(44,1),(51,1),(53,1)}
        35:{3,4,5,6}:{(49,1),(52,1)}
        36:{2,4,5,6,7}:{(20,1),(51,1),(53,1),(80,1)}
        37:{2,3,4,5}:{(21,1),(54,1)}
        38:{1,3,4,6}:{(21,1),(22,1),(24,1),(54,1),(55,1),(56,1)}
        39:{1,2,4,5,6}:{(22,1),(25,1),(30,1),(55,1),(57,1),(63,1),(82,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(56,1)}
        41:{2,3,5,6}:{(24,1),(25,1),(55,1),(59,1)}
        42:{2,3,4,7}:{(24,1),(56,1),(59,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(59,1),(60,1)}
        44:{1,3,4,6,7}:{(26,1),(27,1),(34,1),(60,1),(68,1),(85,1),(90,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(61,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(63,1),(64,1)}
        47:{1,3,4,6,7}:{(29,1),(31,1),(33,1),(56,1),(62,1),(64,1),(85,1),(90,1)}
        48:{1,2,5,7}:{(30,1),(31,1),(64,1)}
        49:{2,4,5,6}:{(32,1),(35,1),(63,1),(66,1)}
        50:{2,3,5,7}:{(32,1),(33,1),(64,1),(66,1)}
        51:{2,5,6,7}:{(34,1),(60,1)}
        52:{3,4,5,7}:{(35,1),(66,1),(68,1)}
        53:{3,5,6,7}:{(36,1),(68,1)}
        54:{2,3,4,6}:{(37,1),(38,1),(69,1),(70,1)}
        55:{1,3,5,6}:{(38,1),(39,1),(41,1),(69,1),(72,1)}
        56:{1,3,4,7}:{(38,1),(40,1),(42,1),(70,1),(72,1)}
        57:{1,2,4,5,7}:{(39,1),(40,1),(43,1),(48,1),(72,1),(73,1),(78,1),(92,1)}
        58:{2,3,4,5,6}:{(41,1),(49,1),(71,1),(74,1)}
        59:{2,3,5,7}:{(41,1),(42,1),(43,1),(72,1),(75,1)}
        60:{2,4,6,7}:{(43,1),(44,1),(51,1),(75,1)}
        61:{2,3,5,6}:{(45,1),(46,1),(76,1),(77,1)}
        62:{2,3,4,6,7}:{(45,1),(47,1),(70,1),(77,1),(93,1),(97,1)}
        63:{1,4,5,6}:{(46,1),(49,1),(76,1),(78,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(78,1)}
        65:{1,2,5,6,7}:{(48,1),(51,1),(73,1),(79,1),(103,1)}
        66:{2,4,5,7}:{(49,1),(50,1),(52,1),(78,1),(80,1)}
        67:{2,3,5,6,7}:{(50,1),(51,1),(53,1),(75,1),(79,1),(80,1)}
        68:{3,4,6,7}:{(52,1),(53,1),(80,1)}
        69:{2,3,5,6}:{(54,1),(55,1),(82,1),(83,1)}
        70:{2,3,4,7}:{(54,1),(56,1),(83,1)}
        71:{1,3,4,5,6}:{(55,1),(58,1),(63,1),(82,1),(84,1),(87,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(57,1),(59,1),(83,1),(85,1)}
        73:{1,2,4,6,7}:{(57,1),(60,1),(65,1),(85,1),(90,1),(99,1)}
        74:{2,3,4,5,7}:{(58,1),(59,1),(66,1),(84,1),(86,1)}
        75:{2,3,6,7}:{(59,1),(60,1),(85,1)}
        76:{2,4,5,6}:{(61,1),(63,1),(87,1),(88,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(88,1)}
        78:{1,4,5,7}:{(63,1),(64,1),(66,1),(88,1),(90,1)}
        79:{1,3,5,6,7}:{(64,1),(65,1),(67,1),(85,1),(89,1),(90,1)}
        80:{2,4,6,7}:{(66,1),(67,1),(68,1),(90,1)}
        81:{3,4,5,6,7}:{(68,1),(91,1)}
        82:{2,4,5,6}:{(69,1),(71,1),(92,1)}
        83:{2,3,5,7}:{(69,1),(70,1),(72,1),(92,1),(93,1)}
        84:{1,3,4,5,7}:{(71,1),(72,1),(74,1),(78,1),(92,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(72,1),(73,1),(75,1),(93,1)}
        86:{2,3,4,6,7}:{(74,1),(75,1),(80,1),(94,1),(95,1)}
        87:{3,4,5,6}:{(76,1),(96,1)}
        88:{2,4,5,7}:{(76,1),(77,1),(78,1),(96,1),(97,1)}
        89:{2,3,5,6,7}:{(77,1),(79,1),(93,1),(97,1),(103,1),(104,1)}
        90:{1,4,6,7}:{(78,1),(79,1),(80,1),(97,1)}
        91:{2,4,5,6,7}:{(80,1),(81,1),(95,1),(98,1)}
        92:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1)}
        93:{2,3,6,7}:{(83,1),(85,1),(99,1)}
        94:{1,3,4,6,7}:{(84,1),(85,1),(86,1),(90,1),(99,1),(100,1),(101,1)}
        95:{2,3,5,6,7}:{(86,1),(91,1),(100,1)}
        96:{3,4,5,7}:{(87,1),(88,1),(101,1)}
        97:{2,4,6,7}:{(88,1),(89,1),(90,1),(101,1)}
        98:{1,4,5,6,7}:{(90,1),(91,1),(100,1),(102,1)}
        99:{2,4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       100:{1,3,5,6,7}:{(94,1),(95,1),(98,1),(103,1),(104,1)}
       101:{3,4,6,7}:{(96,1),(97,1),(104,1)}
       102:{2,4,5,6,7}:{(97,1),(98,1),(103,1),(104,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{3,5,6,7}:{(101,1),(102,1)}

3043 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(17,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(17,1),(28,1)}
       13:{1,2,3,4,5}:{(18,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(20,1),(21,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(16,1),(23,1)}
       18:{1,2,3,4,6}:{(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(24,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       21:{2,3,4,6,7}:{(15,1),(16,1),(23,1),(27,1)}
       22:{1,3,4,5,6,7}:{(17,1),(28,1)}
       23:{2,3,5,6,7}:{(17,1),(21,1),(28,1),(29,1)}
       24:{1,2,3,5,6}:{(18,1),(19,1),(30,1)}
       25:{1,2,3,4,7}:{(18,1),(30,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(30,1),(31,1)}
       27:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(31,1)}
       28:{2,4,5,6,7}:{(22,1),(23,1),(32,1)}
       29:{1,3,5,6,7}:{(23,1),(27,1),(32,1),(33,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(33,1),(34,1)}
       32:{1,4,5,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(31,1)}
       34:{1,2,3,6,7}:{(30,1),(31,1)}

3044 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3045 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(101,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(33,1),(93,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(29,1),(95,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(72,1),(95,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(41,1),(72,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(41,1)}
         6:{2,3,4,6,7}:{(1,1),(17,1),(18,1),(49,1),(81,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(18,1),(19,1),(22,1),(45,1),(84,1),(98,1),(100,1)}
         8:{2,4,5,6}:{(2,1),(19,1),(20,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(21,1),(22,1),(25,1),(55,1),(84,1)}
        10:{1,3,5,6}:{(3,1),(20,1),(22,1),(23,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(24,1),(25,1),(55,1)}
        12:{1,2,4,6}:{(4,1),(23,1),(25,1),(26,1)}
        13:{1,2,3,4,7}:{(5,1),(25,1),(27,1)}
        14:{1,2,3,5}:{(5,1),(26,1)}
        15:{1,2,4,5,6}:{(8,1),(28,1),(29,1),(58,1),(102,1),(103,1)}
        16:{3,4,5,6,7}:{(30,1),(92,1)}
        17:{2,3,5,6,7}:{(6,1),(30,1),(31,1)}
        18:{1,3,4,6,7}:{(6,1),(7,1),(31,1),(32,1),(36,1),(62,1),(69,1),(89,1),(92,1)}
        19:{2,4,5,7}:{(7,1),(8,1),(32,1),(33,1)}
        20:{2,3,5,6}:{(8,1),(10,1),(29,1),(33,1),(34,1)}
        21:{1,2,4,6,7}:{(9,1),(32,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(33,1),(36,1),(37,1)}
        23:{1,3,4,6}:{(10,1),(12,1),(34,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(11,1),(36,1),(39,1),(41,1)}
        25:{1,2,4,7}:{(11,1),(12,1),(37,1)}
        26:{1,2,4,5}:{(12,1),(14,1),(38,1)}
        27:{1,2,3,5,7}:{(13,1),(14,1),(40,1),(41,1)}
        28:{1,2,4,5,7}:{(15,1),(19,1),(44,1),(45,1),(74,1),(96,1),(98,1)}
        29:{1,3,5,6}:{(15,1),(20,1),(45,1),(46,1)}
        30:{2,4,5,6,7}:{(16,1),(17,1),(47,1),(81,1)}
        31:{1,3,5,6,7}:{(17,1),(18,1),(47,1),(48,1),(80,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(22,1),(45,1),(49,1),(50,1)}
        34:{2,3,4,6}:{(20,1),(23,1),(46,1),(50,1),(51,1)}
        35:{1,2,5,6,7}:{(21,1),(48,1),(52,1),(55,1)}
        36:{1,3,6,7}:{(21,1),(22,1),(49,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(25,1),(50,1)}
        38:{1,3,4,5}:{(23,1),(26,1),(51,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(55,1),(56,1)}
        40:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(55,1),(56,1)}
        41:{1,2,3,6}:{(27,1),(56,1)}
        42:{1,2,3,5,6}:{(29,1),(57,1),(58,1),(60,1),(88,1),(102,1)}
        43:{1,2,3,4,6}:{(58,1),(59,1),(60,1),(88,1)}
        44:{1,2,4,6,7}:{(28,1),(32,1),(61,1),(62,1),(89,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(63,1)}
        46:{1,3,4,6}:{(29,1),(34,1),(58,1),(63,1),(64,1)}
        47:{1,4,5,6,7}:{(30,1),(31,1),(65,1),(69,1),(89,1)}
        48:{2,5,6,7}:{(31,1),(32,1)}
        49:{2,3,6,7}:{(32,1),(33,1),(36,1),(62,1)}
        50:{2,3,4,7}:{(33,1),(34,1),(37,1),(63,1)}
        51:{2,3,4,5}:{(34,1),(38,1),(64,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(66,1),(69,1),(70,1)}
        53:{1,3,4,6,7}:{(36,1),(37,1),(39,1),(67,1),(69,1),(70,1),(71,1)}
        54:{1,3,4,5,7}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        55:{1,2,5,7}:{(39,1),(70,1),(72,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(71,1),(72,1)}
        57:{1,2,3,5,7}:{(42,1),(45,1),(73,1),(74,1),(96,1)}
        58:{1,2,4,6}:{(42,1),(46,1),(74,1),(75,1)}
        59:{1,2,3,4,7}:{(43,1),(74,1),(76,1)}
        60:{1,2,3,5}:{(43,1),(75,1)}
        61:{1,2,5,6,7}:{(44,1),(48,1),(77,1),(96,1)}
        62:{1,3,6,7}:{(44,1),(45,1),(49,1)}
        63:{1,3,4,7}:{(45,1),(46,1),(50,1),(74,1)}
        64:{1,3,4,5}:{(46,1),(51,1),(75,1)}
        65:{2,4,5,6,7}:{(47,1),(48,1),(80,1),(81,1)}
        66:{2,3,5,6,7}:{(48,1),(49,1),(52,1),(77,1),(80,1),(81,1),(82,1)}
        67:{2,3,4,6,7}:{(49,1),(50,1),(53,1),(78,1),(81,1),(82,1),(83,1)}
        68:{2,3,4,5,7}:{(50,1),(51,1),(54,1),(79,1),(82,1),(83,1)}
        69:{1,4,6,7}:{(52,1),(81,1),(84,1)}
        70:{1,3,5,7}:{(53,1),(55,1),(82,1),(84,1),(85,1)}
        71:{1,3,4,6}:{(54,1),(56,1),(83,1),(85,1)}
        72:{1,2,5,6}:{(55,1),(56,1),(85,1)}
        73:{1,2,3,6,7}:{(57,1),(62,1),(86,1),(88,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(63,1)}
        75:{1,2,4,5}:{(58,1),(60,1),(64,1)}
        76:{1,2,3,5,7}:{(59,1),(60,1),(87,1),(88,1)}
        77:{1,3,5,6,7}:{(61,1),(62,1),(66,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(62,1),(63,1),(67,1),(86,1),(89,1),(90,1),(91,1)}
        79:{1,3,4,5,7}:{(63,1),(64,1),(68,1),(87,1),(90,1),(91,1)}
        80:{3,5,6,7}:{(65,1),(92,1)}
        81:{2,4,6,7}:{(66,1),(69,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(67,1),(70,1),(90,1),(93,1),(94,1)}
        83:{2,3,4,6}:{(68,1),(71,1),(91,1),(94,1)}
        84:{1,4,5,7}:{(69,1),(70,1),(93,1),(95,1)}
        85:{1,3,5,6}:{(70,1),(71,1),(72,1),(94,1),(95,1)}
        86:{1,2,4,6,7}:{(73,1),(74,1),(78,1),(96,1),(97,1)}
        87:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(79,1),(96,1),(97,1)}
        88:{1,2,3,6}:{(76,1),(97,1)}
        89:{1,4,6,7}:{(77,1),(81,1),(98,1)}
        90:{1,3,5,7}:{(78,1),(82,1),(96,1),(98,1),(99,1)}
        91:{1,3,4,6}:{(79,1),(83,1),(97,1),(99,1)}
        92:{3,4,6,7}:{(80,1),(81,1),(100,1)}
        93:{2,4,5,7}:{(81,1),(82,1),(84,1),(98,1),(100,1),(101,1)}
        94:{2,3,5,6}:{(82,1),(83,1),(85,1),(99,1),(101,1)}
        95:{1,4,5,6}:{(84,1),(85,1),(101,1)}
        96:{1,2,5,7}:{(86,1),(90,1),(102,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(93,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(104,1)}
       101:{2,4,5,6}:{(93,1),(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,5,6}:{(96,1),(97,1),(99,1)}
       103:{1,4,5,6}:{(98,1),(99,1),(101,1)}
       104:{3,4,5,6}:{(100,1),(101,1)}

3046 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(24,1),(40,1),(84,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(38,1),(58,1)}
         2:{1,2,3,4,6,7}:{(5,1),(17,1),(19,1),(45,1),(53,1),(96,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(79,1),(123,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(23,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(31,1),(65,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(38,1),(101,1),(136,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,2,3,5,6,7}:{(4,1),(15,1),(38,1),(78,1),(103,1),(139,1),(146,1)}
         9:{1,2,4,5,7}:{(5,1),(16,1),(17,1),(48,1),(96,1)}
        10:{1,2,3,5,6}:{(5,1),(17,1),(44,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(96,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(56,1),(89,1),(129,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(23,1)}
        14:{1,2,4,5,6}:{(7,1),(23,1),(25,1),(50,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(24,1),(25,1),(98,1),(123,1)}
        16:{1,3,4,5,7}:{(9,1),(27,1),(28,1),(65,1),(69,1),(117,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(28,1)}
        18:{1,2,3,5,6,7}:{(10,1),(30,1),(65,1),(71,1),(110,1),(120,1),(142,1)}
        19:{1,2,3,4,6}:{(11,1),(31,1),(34,1),(70,1)}
        20:{1,2,3,5,7}:{(11,1),(31,1),(33,1),(34,1)}
        21:{1,3,4,5,7}:{(12,1),(33,1),(35,1),(69,1),(77,1),(117,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(36,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(15,1),(37,1),(38,1),(136,1),(146,1)}
        25:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(73,1)}
        26:{1,2,3,4,7}:{(40,1),(41,1),(123,1)}
        27:{2,3,4,5,7}:{(16,1),(42,1),(43,1),(87,1),(89,1),(129,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(43,1),(44,1)}
        29:{1,2,4,5,6}:{(17,1),(44,1),(46,1),(81,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(45,1),(46,1),(96,1),(125,1)}
        31:{1,2,3,5}:{(19,1),(48,1)}
        32:{1,3,4,5,6}:{(23,1),(50,1),(51,1)}
        33:{1,2,4,5,7}:{(20,1),(21,1),(48,1),(52,1),(96,1),(99,1)}
        34:{1,2,3,6}:{(20,1),(52,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(52,1),(54,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(50,1),(54,1),(56,1)}
        37:{2,3,4,6,7}:{(22,1),(24,1),(55,1),(56,1),(98,1),(129,1),(145,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(56,1)}
        39:{1,2,4,5,6,7}:{(25,1),(57,1),(93,1),(98,1),(132,1),(144,1)}
        40:{1,2,3,4,6}:{(26,1),(58,1),(61,1),(102,1)}
        41:{1,2,3,5,7}:{(26,1),(58,1),(60,1),(61,1)}
        42:{1,3,4,5,7}:{(27,1),(60,1),(62,1),(101,1),(109,1),(136,1)}
        43:{2,3,4,6}:{(27,1),(28,1),(62,1),(63,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(63,1),(65,1)}
        45:{1,3,4,6,7}:{(28,1),(30,1),(64,1),(65,1),(117,1),(142,1)}
        46:{1,2,4,5,7}:{(29,1),(30,1),(65,1),(105,1)}
        47:{1,3,4,5,6,7}:{(68,1),(74,1),(106,1),(115,1)}
        48:{1,2,4,5}:{(31,1),(69,1),(70,1)}
        49:{1,2,3,5,6}:{(31,1),(34,1),(70,1),(71,1),(75,1),(116,1)}
        50:{2,4,5,6}:{(32,1),(36,1),(72,1),(73,1)}
        51:{1,3,4,5,7}:{(32,1),(38,1),(73,1),(74,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(75,1)}
        53:{1,2,3,6,7}:{(34,1),(71,1),(76,1),(142,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(72,1),(75,1),(77,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(76,1),(77,1),(117,1),(119,1),(142,1)}
        56:{2,3,5,7}:{(36,1),(37,1),(38,1),(73,1),(77,1)}
        57:{1,3,5,6,7}:{(38,1),(39,1),(74,1),(78,1),(146,1)}
        58:{1,2,3,5}:{(40,1),(79,1)}
        59:{1,3,4,5,6}:{(44,1),(81,1),(82,1)}
        60:{1,2,4,5,7}:{(41,1),(42,1),(79,1),(83,1),(123,1),(126,1)}
        61:{1,2,3,6}:{(41,1),(83,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(83,1),(85,1)}
        63:{2,3,5,6}:{(43,1),(44,1),(81,1),(85,1),(87,1)}
        64:{2,3,4,6,7}:{(43,1),(45,1),(86,1),(87,1),(125,1),(129,1),(145,1)}
        65:{1,3,5,7}:{(44,1),(45,1),(46,1),(87,1)}
        66:{1,2,4,5,6,7}:{(46,1),(88,1),(93,1),(125,1),(132,1),(134,1)}
        67:{2,3,4,5,6}:{(50,1),(81,1),(90,1),(91,1),(128,1)}
        68:{2,4,5,6,7}:{(47,1),(92,1),(93,1),(98,1),(125,1),(132,1)}
        69:{1,3,4,5}:{(48,1),(89,1),(94,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(94,1),(96,1)}
        71:{1,2,3,5,7}:{(49,1),(53,1),(96,1),(99,1),(133,1)}
        72:{1,4,5,6}:{(50,1),(54,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(56,1),(97,1),(98,1)}
        74:{1,3,4,6,7}:{(51,1),(57,1),(98,1)}
        75:{1,2,5,6}:{(52,1),(54,1),(99,1)}
        76:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(96,1),(99,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(56,1),(97,1),(99,1)}
        78:{2,3,5,6,7}:{(56,1),(57,1),(98,1),(100,1),(132,1),(145,1)}
        79:{1,2,4,5}:{(58,1),(101,1),(102,1)}
        80:{1,2,3,5,6}:{(58,1),(61,1),(102,1),(103,1),(107,1),(135,1)}
        81:{2,4,5,6}:{(59,1),(63,1),(104,1),(105,1)}
        82:{1,3,4,5,7}:{(59,1),(65,1),(105,1),(106,1)}
        83:{1,2,4,6}:{(60,1),(61,1),(62,1),(107,1)}
        84:{1,2,3,6,7}:{(61,1),(103,1),(108,1),(146,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(104,1),(107,1),(109,1)}
        86:{1,3,4,6,7}:{(62,1),(64,1),(108,1),(109,1),(136,1),(138,1),(146,1)}
        87:{2,3,5,7}:{(63,1),(64,1),(65,1),(105,1),(109,1)}
        88:{1,3,5,6,7}:{(65,1),(66,1),(106,1),(110,1),(142,1)}
        89:{2,3,4,5}:{(69,1),(101,1),(111,1)}
        90:{1,3,4,5,6}:{(67,1),(72,1),(104,1),(112,1),(113,1),(116,1),(135,1)}
        91:{2,3,4,5,7}:{(67,1),(73,1),(105,1),(113,1),(114,1),(140,1)}
        92:{2,3,5,6,7}:{(68,1),(114,1),(115,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1),(138,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(111,1),(116,1),(117,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(75,1),(112,1),(116,1),(118,1)}
        96:{1,2,4,7}:{(70,1),(71,1),(117,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(77,1),(119,1)}
        98:{2,4,6,7}:{(73,1),(74,1),(78,1),(119,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1)}
       100:{1,3,5,6,7}:{(77,1),(78,1),(119,1),(120,1),(142,1)}
       101:{1,3,4,5}:{(79,1),(89,1),(121,1)}
       102:{1,2,4,6}:{(79,1),(80,1),(121,1),(123,1)}
       103:{1,2,3,5,7}:{(80,1),(84,1),(123,1),(126,1),(143,1)}
       104:{1,4,5,6}:{(81,1),(85,1),(124,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(87,1),(124,1),(125,1)}
       106:{1,3,4,6,7}:{(82,1),(88,1),(125,1)}
       107:{1,2,5,6}:{(83,1),(85,1),(126,1)}
       108:{1,2,4,6,7}:{(83,1),(84,1),(86,1),(123,1),(126,1)}
       109:{1,3,5,7}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       110:{2,3,5,6,7}:{(87,1),(88,1),(125,1),(127,1),(132,1),(145,1)}
       111:{2,3,4,6}:{(89,1),(94,1),(121,1),(128,1),(129,1)}
       112:{2,4,5,6}:{(90,1),(128,1),(130,1)}
       113:{1,3,4,5,7}:{(90,1),(91,1),(97,1),(124,1),(130,1),(131,1),(133,1),(143,1)}
       114:{2,3,4,6,7}:{(91,1),(92,1),(98,1),(125,1),(131,1),(145,1)}
       115:{1,3,5,6,7}:{(92,1),(93,1),(131,1),(132,1)}
       116:{1,3,5,6}:{(94,1),(95,1),(128,1),(133,1)}
       117:{1,3,4,7}:{(94,1),(96,1),(129,1),(133,1)}
       118:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(99,1),(130,1),(133,1),(134,1)}
       119:{1,4,6,7}:{(97,1),(98,1),(100,1)}
       120:{1,2,5,6,7}:{(99,1),(100,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(101,1),(102,1),(111,1),(135,1),(136,1)}
       122:{1,2,4,5,6}:{(102,1),(104,1),(107,1),(112,1),(135,1),(137,1)}
       123:{1,2,4,7}:{(102,1),(103,1),(136,1)}
       124:{1,4,5,7}:{(104,1),(105,1),(109,1),(138,1)}
       125:{2,4,6,7}:{(105,1),(106,1),(110,1),(138,1)}
       126:{1,2,5,7}:{(107,1),(108,1),(109,1)}
       127:{1,3,5,6,7}:{(109,1),(110,1),(138,1),(139,1),(146,1)}
       128:{2,3,5,6}:{(111,1),(112,1),(116,1),(135,1),(140,1)}
       129:{2,3,4,7}:{(111,1),(117,1),(136,1),(140,1)}
       130:{2,4,5,7}:{(112,1),(113,1),(140,1),(141,1)}
       131:{1,3,4,6,7}:{(113,1),(114,1),(115,1),(119,1),(138,1),(141,1),(142,1),(146,1)}
       132:{2,5,6,7}:{(115,1),(141,1)}
       133:{1,3,5,7}:{(116,1),(117,1),(118,1),(140,1),(142,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(141,1),(142,1)}
       135:{1,3,5,6}:{(121,1),(122,1),(128,1),(143,1)}
       136:{1,3,4,7}:{(121,1),(123,1),(129,1),(143,1)}
       137:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(143,1),(144,1)}
       138:{1,4,6,7}:{(124,1),(125,1),(127,1)}
       139:{1,2,5,6,7}:{(126,1),(127,1),(132,1),(144,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(143,1),(145,1)}
       141:{2,4,6,7}:{(130,1),(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(145,1)}
       143:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(146,1)}
       144:{1,2,4,6,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,3,6,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,3,6,7}:{(143,1),(144,1),(145,1)}

3047 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(20,1),(108,1),(139,1),(146,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(29,1),(124,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(136,1),(146,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(10,1),(11,1),(29,1),(129,1),(145,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,2,3,5,6,7}:{(3,1),(12,1),(27,1),(29,1),(98,1),(132,1),(144,1)}
         7:{1,2,3,4,6,7}:{(13,1),(35,1),(44,1),(73,1),(88,1),(123,1)}
         8:{1,2,4,5,6,7}:{(15,1),(17,1),(39,1),(42,1),(81,1),(116,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(40,1)}
        10:{2,3,4,5,7}:{(4,1),(18,1),(19,1),(46,1),(117,1),(142,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(20,1),(42,1),(146,1)}
        13:{1,2,3,5,7}:{(7,1),(21,1),(22,1),(64,1),(90,1)}
        14:{1,3,4,5,6,7}:{(24,1),(26,1),(55,1),(59,1)}
        15:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(29,1),(132,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(28,1),(29,1)}
        17:{1,2,4,5,7}:{(9,1),(12,1),(29,1),(61,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(32,1),(66,1),(102,1),(135,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(28,1),(32,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(29,1),(33,1),(132,1),(145,1)}
        21:{1,2,4,5,7}:{(13,1),(34,1),(35,1),(85,1),(123,1)}
        22:{1,2,3,5,6}:{(13,1),(35,1),(69,1)}
        23:{1,2,4,5,6,7}:{(37,1),(39,1),(70,1),(76,1),(81,1),(84,1)}
        24:{2,4,5,6,7}:{(14,1),(38,1),(39,1),(42,1),(76,1),(81,1)}
        25:{1,3,4,5,6}:{(16,1),(40,1),(41,1)}
        26:{1,3,4,6,7}:{(15,1),(41,1),(42,1)}
        27:{2,3,5,6,7}:{(15,1),(42,1),(43,1),(46,1),(81,1),(120,1)}
        28:{2,3,5,6}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(20,1),(46,1)}
        30:{1,2,3,4,7}:{(44,1),(47,1),(123,1)}
        31:{1,2,4,5,7}:{(18,1),(47,1),(48,1),(85,1),(87,1),(123,1)}
        32:{1,3,4,6}:{(18,1),(19,1),(45,1),(48,1)}
        33:{2,3,4,6,7}:{(19,1),(20,1),(42,1),(46,1),(49,1),(120,1),(142,1)}
        34:{1,3,4,5,7}:{(21,1),(51,1),(52,1),(90,1),(102,1),(135,1)}
        35:{1,2,4,6}:{(21,1),(22,1),(52,1)}
        36:{1,2,3,5,6,7}:{(22,1),(53,1),(56,1),(63,1),(90,1),(105,1),(107,1)}
        37:{1,3,5,6,7}:{(23,1),(55,1),(56,1),(90,1),(105,1)}
        38:{2,3,5,6,7}:{(24,1),(58,1),(59,1)}
        39:{1,4,5,6,7}:{(24,1),(59,1),(62,1),(97,1)}
        40:{2,4,5,6}:{(25,1),(28,1),(60,1),(61,1)}
        41:{1,3,4,5,7}:{(25,1),(26,1),(29,1),(61,1)}
        42:{2,4,6,7}:{(26,1),(27,1),(61,1),(62,1)}
        43:{1,3,5,6,7}:{(27,1),(62,1),(63,1),(66,1),(105,1)}
        44:{1,2,3,4,6}:{(30,1),(64,1),(67,1),(106,1)}
        45:{1,3,5,6}:{(28,1),(32,1),(60,1),(65,1),(66,1)}
        46:{2,3,5,7}:{(28,1),(29,1),(33,1),(61,1),(66,1)}
        47:{1,2,3,5,7}:{(30,1),(31,1),(64,1),(67,1)}
        48:{1,2,4,6}:{(31,1),(32,1),(65,1),(67,1)}
        49:{1,3,4,6,7}:{(32,1),(33,1),(62,1),(66,1),(68,1),(105,1),(135,1)}
        50:{1,2,4,5,6}:{(35,1),(69,1),(70,1),(74,1)}
        51:{2,3,4,5,7}:{(34,1),(71,1),(72,1),(110,1),(117,1),(142,1)}
        52:{1,3,4,6}:{(34,1),(35,1),(69,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(70,1),(73,1),(76,1),(123,1)}
        54:{1,3,4,5,6}:{(69,1),(74,1),(75,1)}
        55:{1,3,4,6,7}:{(37,1),(75,1),(76,1)}
        56:{2,3,5,6,7}:{(37,1),(76,1),(77,1),(81,1),(110,1),(120,1)}
        57:{2,3,4,5,6}:{(40,1),(74,1),(78,1),(79,1),(118,1)}
        58:{2,3,4,6,7}:{(38,1),(42,1),(76,1),(79,1),(80,1),(120,1)}
        59:{1,3,5,6,7}:{(38,1),(39,1),(80,1),(81,1)}
        60:{1,4,5,6}:{(40,1),(45,1),(83,1)}
        61:{2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(83,1)}
        62:{1,4,6,7}:{(42,1),(43,1),(83,1)}
        63:{1,2,5,6,7}:{(43,1),(81,1),(84,1),(87,1)}
        64:{1,2,3,5}:{(44,1),(85,1)}
        65:{1,2,5,6}:{(45,1),(48,1),(87,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(87,1)}
        67:{1,2,3,6}:{(47,1),(48,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(87,1),(88,1),(123,1)}
        69:{1,3,5,6}:{(50,1),(52,1),(89,1),(90,1)}
        70:{1,2,4,5,7}:{(50,1),(53,1),(90,1),(96,1)}
        71:{1,3,4,5,7}:{(51,1),(92,1),(93,1),(126,1),(129,1),(145,1)}
        72:{2,3,4,6}:{(51,1),(52,1),(89,1),(93,1)}
        73:{1,3,4,6,7}:{(52,1),(53,1),(90,1),(94,1),(105,1),(135,1)}
        74:{2,4,5,6}:{(54,1),(89,1),(95,1),(96,1)}
        75:{1,3,4,5,7}:{(54,1),(55,1),(90,1),(96,1)}
        76:{2,4,6,7}:{(55,1),(56,1),(96,1),(97,1)}
        77:{1,3,5,6,7}:{(56,1),(97,1),(98,1),(126,1),(132,1)}
        78:{1,3,4,5,6}:{(57,1),(60,1),(95,1),(99,1),(100,1),(103,1),(130,1)}
        79:{2,3,4,5,7}:{(57,1),(58,1),(61,1),(96,1),(100,1),(134,1)}
        80:{1,3,4,6,7}:{(58,1),(59,1),(62,1),(97,1),(100,1),(101,1),(105,1),(132,1)}
        81:{2,5,6,7}:{(59,1),(101,1)}
        82:{1,2,4,5,6}:{(60,1),(65,1),(99,1),(103,1),(104,1),(106,1)}
        83:{1,4,5,7}:{(60,1),(61,1),(62,1),(66,1)}
        84:{1,2,4,6,7}:{(62,1),(63,1),(101,1),(104,1),(105,1)}
        85:{1,2,4,5}:{(64,1),(102,1),(106,1)}
        86:{1,2,3,5,6}:{(64,1),(65,1),(67,1),(103,1),(106,1),(107,1)}
        87:{1,2,5,7}:{(65,1),(66,1),(68,1)}
        88:{1,2,3,6,7}:{(67,1),(68,1),(105,1),(107,1)}
        89:{2,3,5,6}:{(69,1),(72,1),(74,1),(109,1),(110,1)}
        90:{1,3,5,7}:{(69,1),(70,1),(73,1),(110,1)}
        91:{1,2,3,4,7}:{(108,1),(111,1),(146,1)}
        92:{1,2,4,5,7}:{(71,1),(111,1),(112,1),(136,1),(138,1),(146,1)}
        93:{1,3,4,6}:{(71,1),(72,1),(109,1),(112,1)}
        94:{2,3,4,6,7}:{(72,1),(73,1),(76,1),(110,1),(113,1),(120,1),(142,1)}
        95:{1,4,5,6}:{(74,1),(109,1),(115,1)}
        96:{2,4,5,7}:{(74,1),(75,1),(76,1),(110,1),(115,1)}
        97:{1,4,6,7}:{(76,1),(77,1),(115,1)}
        98:{1,2,5,6,7}:{(77,1),(81,1),(116,1),(138,1)}
        99:{2,4,5,6}:{(78,1),(118,1),(119,1)}
       100:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(115,1),(119,1),(122,1),(141,1)}
       101:{2,4,6,7}:{(80,1),(81,1),(119,1),(120,1)}
       102:{1,3,4,5}:{(85,1),(117,1),(121,1)}
       103:{1,3,5,6}:{(82,1),(118,1),(121,1),(122,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(87,1),(119,1),(122,1),(123,1)}
       105:{1,3,6,7}:{(84,1),(120,1),(122,1)}
       106:{1,2,4,6}:{(85,1),(86,1),(121,1),(123,1)}
       107:{1,2,3,5,7}:{(86,1),(87,1),(88,1),(122,1),(123,1)}
       108:{1,2,3,4,6}:{(91,1),(124,1),(127,1),(143,1)}
       109:{1,3,5,6}:{(89,1),(93,1),(95,1),(125,1),(126,1)}
       110:{2,3,5,7}:{(89,1),(90,1),(94,1),(96,1),(126,1)}
       111:{1,2,3,5,7}:{(91,1),(92,1),(124,1),(127,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(125,1),(127,1)}
       113:{1,3,4,6,7}:{(93,1),(94,1),(97,1),(126,1),(128,1),(132,1),(145,1)}
       114:{1,2,4,5,6}:{(95,1),(99,1),(125,1),(130,1),(131,1),(143,1)}
       115:{1,4,5,7}:{(95,1),(96,1),(97,1),(126,1)}
       116:{1,2,4,6,7}:{(97,1),(98,1),(101,1),(131,1),(132,1)}
       117:{2,3,4,5}:{(102,1),(129,1),(133,1)}
       118:{2,3,5,6}:{(99,1),(103,1),(130,1),(133,1),(134,1)}
       119:{2,4,5,7}:{(99,1),(100,1),(101,1),(134,1)}
       120:{2,3,6,7}:{(101,1),(105,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(102,1),(103,1),(106,1),(133,1),(135,1)}
       122:{1,3,5,7}:{(103,1),(104,1),(105,1),(134,1),(135,1)}
       123:{1,2,4,7}:{(106,1),(107,1),(135,1)}
       124:{1,2,3,5}:{(108,1),(136,1)}
       125:{1,2,5,6}:{(109,1),(112,1),(138,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(113,1),(115,1),(138,1)}
       127:{1,2,3,6}:{(111,1),(112,1)}
       128:{1,2,4,6,7}:{(112,1),(113,1),(138,1),(139,1),(146,1)}
       129:{1,3,4,5}:{(117,1),(136,1),(140,1)}
       130:{1,3,5,6}:{(114,1),(118,1),(140,1),(141,1)}
       131:{1,2,4,5,7}:{(114,1),(115,1),(116,1),(119,1),(138,1),(141,1),(146,1)}
       132:{1,3,6,7}:{(116,1),(120,1),(141,1)}
       133:{2,3,4,6}:{(117,1),(118,1),(121,1),(140,1),(142,1)}
       134:{2,3,5,7}:{(118,1),(119,1),(120,1),(122,1),(141,1),(142,1)}
       135:{1,3,4,7}:{(121,1),(122,1),(123,1),(142,1)}
       136:{1,2,4,5}:{(124,1),(129,1),(143,1)}
       137:{1,2,3,5,6}:{(124,1),(125,1),(127,1),(130,1),(143,1),(144,1)}
       138:{1,2,5,7}:{(125,1),(126,1),(128,1)}
       139:{1,2,3,6,7}:{(127,1),(128,1),(132,1),(144,1)}
       140:{1,3,4,6}:{(129,1),(130,1),(133,1),(143,1),(145,1)}
       141:{1,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(145,1)}
       142:{2,3,4,7}:{(133,1),(134,1),(135,1),(145,1)}
       143:{1,2,4,6}:{(136,1),(137,1),(140,1),(146,1)}
       144:{1,2,3,5,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{1,3,4,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,2,4,7}:{(143,1),(144,1),(145,1)}

3048 :   0:{1,2,3,4,6,7}:{(2,1),(10,1),(11,1),(121,1),(139,1),(140,1)}
         1:{1,2,3,5,6,7}:{(4,1),(5,1),(17,1),(19,1),(78,1),(112,1),(131,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(144,1)}
         3:{1,2,4,5,6,7}:{(8,1),(9,1),(27,1),(29,1),(61,1),(96,1)}
         4:{1,2,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(139,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(31,1)}
         6:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(139,1),(146,1)}
         7:{1,3,4,5,6,7}:{(15,1),(16,1),(39,1),(42,1)}
         8:{1,3,5,6,7}:{(3,1),(16,1),(17,1),(19,1),(112,1)}
         9:{1,2,4,5,7}:{(4,1),(18,1),(19,1),(44,1)}
        10:{1,3,4,6,7}:{(4,1),(19,1),(20,1),(21,1),(112,1),(135,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(21,1)}
        12:{1,3,4,5,7}:{(6,1),(19,1),(21,1),(22,1),(135,1),(145,1)}
        13:{1,2,3,4,6,7}:{(24,1),(53,1),(54,1),(67,1),(103,1),(104,1)}
        14:{1,2,4,5,6,7}:{(25,1),(27,1),(52,1),(57,1),(61,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(26,1),(27,1),(29,1),(57,1),(61,1)}
        16:{1,3,4,6,7}:{(8,1),(28,1),(29,1)}
        17:{2,3,5,6,7}:{(8,1),(29,1),(30,1),(32,1),(61,1),(99,1)}
        18:{1,2,4,5,6}:{(9,1),(11,1),(31,1),(62,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(31,1),(32,1)}
        20:{2,3,4,6,7}:{(10,1),(29,1),(32,1),(33,1),(34,1),(99,1),(127,1)}
        21:{1,3,4,6}:{(11,1),(12,1),(31,1),(34,1)}
        22:{2,3,4,5,7}:{(12,1),(32,1),(34,1),(35,1),(127,1),(142,1)}
        23:{1,2,3,5,6,7}:{(36,1),(37,1),(40,1),(46,1),(71,1),(84,1),(86,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(71,1),(118,1)}
        25:{1,3,5,6,7}:{(14,1),(39,1),(40,1),(71,1),(84,1)}
        26:{2,3,5,6,7}:{(15,1),(41,1),(42,1)}
        27:{1,4,5,6,7}:{(15,1),(42,1),(45,1),(77,1)}
        28:{1,3,4,5,7}:{(16,1),(19,1),(43,1),(44,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(44,1),(45,1)}
        30:{1,3,5,6,7}:{(17,1),(45,1),(46,1),(48,1),(84,1)}
        31:{1,3,5,6}:{(18,1),(19,1),(21,1),(47,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(44,1),(47,1),(48,1)}
        33:{1,3,4,6,7}:{(20,1),(45,1),(48,1),(49,1),(50,1),(84,1),(116,1)}
        34:{2,3,4,6}:{(21,1),(22,1),(47,1),(50,1)}
        35:{1,3,4,5,7}:{(22,1),(48,1),(50,1),(51,1),(116,1),(137,1)}
        36:{1,2,4,6,7}:{(23,1),(52,1),(53,1),(54,1),(57,1),(103,1)}
        37:{1,2,3,5,6}:{(24,1),(54,1),(89,1)}
        38:{1,2,4,5,7}:{(24,1),(54,1),(55,1),(103,1),(129,1)}
        39:{1,3,4,6,7}:{(25,1),(56,1),(57,1)}
        40:{2,3,5,6,7}:{(25,1),(57,1),(58,1),(61,1),(90,1),(99,1)}
        41:{2,3,4,6,7}:{(26,1),(29,1),(57,1),(59,1),(60,1),(99,1)}
        42:{1,3,5,6,7}:{(26,1),(27,1),(60,1),(61,1)}
        43:{1,3,4,5,6}:{(28,1),(31,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(32,1),(62,1),(63,1)}
        45:{1,4,6,7}:{(29,1),(30,1),(63,1)}
        46:{1,2,5,6,7}:{(30,1),(61,1),(64,1),(66,1)}
        47:{2,3,5,6}:{(31,1),(32,1),(34,1),(62,1),(65,1)}
        48:{1,3,5,7}:{(32,1),(33,1),(63,1),(65,1),(66,1)}
        49:{1,2,4,6,7}:{(33,1),(66,1),(67,1),(68,1),(103,1)}
        50:{1,3,4,6}:{(34,1),(35,1),(65,1),(68,1)}
        51:{1,2,4,5,7}:{(35,1),(66,1),(68,1),(69,1),(103,1),(129,1)}
        52:{1,2,4,5,7}:{(36,1),(70,1),(71,1),(76,1)}
        53:{1,3,4,6,7}:{(36,1),(71,1),(72,1),(73,1),(84,1),(116,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(73,1)}
        55:{1,3,4,5,7}:{(38,1),(71,1),(73,1),(74,1),(116,1),(137,1)}
        56:{1,3,4,5,7}:{(39,1),(71,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(39,1),(40,1),(76,1),(77,1)}
        58:{1,3,5,6,7}:{(40,1),(77,1),(78,1),(106,1),(112,1)}
        59:{2,3,4,5,7}:{(41,1),(44,1),(76,1),(79,1),(80,1),(114,1)}
        60:{1,3,4,6,7}:{(41,1),(42,1),(45,1),(77,1),(80,1),(81,1),(84,1),(112,1)}
        61:{2,5,6,7}:{(42,1),(81,1)}
        62:{2,4,5,6}:{(43,1),(44,1),(47,1),(82,1)}
        63:{1,4,5,7}:{(44,1),(45,1),(48,1),(82,1)}
        64:{1,2,4,6,7}:{(45,1),(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,5,6}:{(47,1),(48,1),(50,1),(82,1),(85,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(85,1)}
        67:{1,2,3,6,7}:{(49,1),(84,1),(86,1),(87,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(85,1),(87,1)}
        69:{1,2,3,5,7}:{(51,1),(87,1),(88,1),(118,1)}
        70:{1,2,4,5,6}:{(52,1),(54,1),(89,1),(94,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(89,1),(90,1)}
        72:{2,3,4,6,7}:{(53,1),(57,1),(90,1),(91,1),(92,1),(99,1),(127,1)}
        73:{1,3,4,6}:{(54,1),(55,1),(89,1),(92,1)}
        74:{2,3,4,5,7}:{(55,1),(90,1),(92,1),(93,1),(127,1),(142,1)}
        75:{1,3,4,5,6}:{(56,1),(89,1),(94,1)}
        76:{2,4,5,7}:{(56,1),(57,1),(90,1),(94,1),(95,1)}
        77:{1,4,6,7}:{(57,1),(58,1),(95,1)}
        78:{1,2,5,6,7}:{(58,1),(61,1),(96,1),(120,1)}
        79:{2,3,4,5,6}:{(59,1),(62,1),(94,1),(97,1),(126,1)}
        80:{1,3,4,5,7}:{(59,1),(60,1),(63,1),(95,1),(97,1),(98,1),(101,1),(125,1)}
        81:{2,4,6,7}:{(60,1),(61,1),(98,1),(99,1)}
        82:{1,4,5,6}:{(62,1),(63,1),(65,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(66,1),(98,1),(100,1),(101,1),(103,1)}
        84:{1,3,6,7}:{(64,1),(99,1),(101,1)}
        85:{1,2,5,6}:{(65,1),(66,1),(68,1)}
        86:{1,2,3,5,7}:{(66,1),(67,1),(101,1),(102,1),(103,1)}
        87:{1,2,3,6}:{(68,1),(69,1)}
        88:{1,2,3,4,7}:{(69,1),(103,1),(104,1)}
        89:{1,3,5,6}:{(70,1),(71,1),(73,1),(105,1)}
        90:{2,3,5,7}:{(71,1),(72,1),(76,1),(105,1),(106,1)}
        91:{1,3,4,6,7}:{(72,1),(77,1),(106,1),(107,1),(108,1),(112,1),(135,1)}
        92:{2,3,4,6}:{(73,1),(74,1),(105,1),(108,1)}
        93:{1,3,4,5,7}:{(74,1),(106,1),(108,1),(109,1),(135,1),(145,1)}
        94:{2,4,5,6}:{(75,1),(76,1),(105,1),(110,1)}
        95:{1,4,5,7}:{(76,1),(77,1),(106,1),(110,1)}
        96:{1,2,4,6,7}:{(77,1),(78,1),(81,1),(111,1),(112,1)}
        97:{1,3,4,5,6}:{(79,1),(80,1),(82,1),(110,1),(113,1),(115,1),(134,1)}
        98:{2,4,5,7}:{(80,1),(81,1),(113,1),(114,1)}
        99:{2,3,6,7}:{(81,1),(84,1),(112,1),(114,1)}
       100:{1,2,4,5,6}:{(82,1),(83,1),(85,1),(113,1),(115,1),(117,1)}
       101:{1,3,5,7}:{(83,1),(84,1),(114,1),(115,1),(116,1)}
       102:{1,2,3,5,6}:{(85,1),(86,1),(87,1),(115,1),(117,1),(118,1)}
       103:{1,2,4,7}:{(86,1),(116,1),(117,1)}
       104:{1,2,3,4,6}:{(87,1),(88,1),(117,1),(118,1)}
       105:{2,3,5,6}:{(89,1),(90,1),(92,1),(94,1),(119,1)}
       106:{1,3,5,7}:{(90,1),(91,1),(95,1),(119,1),(120,1)}
       107:{1,2,4,6,7}:{(91,1),(120,1),(121,1),(122,1),(139,1)}
       108:{1,3,4,6}:{(92,1),(93,1),(119,1),(122,1)}
       109:{1,2,4,5,7}:{(93,1),(120,1),(122,1),(123,1),(139,1),(146,1)}
       110:{1,4,5,6}:{(94,1),(95,1),(119,1)}
       111:{1,2,4,5,7}:{(95,1),(96,1),(98,1),(120,1),(124,1),(125,1),(139,1)}
       112:{1,3,6,7}:{(96,1),(99,1),(125,1)}
       113:{2,4,5,6}:{(97,1),(98,1),(126,1)}
       114:{2,3,5,7}:{(98,1),(99,1),(101,1),(125,1),(126,1),(127,1)}
       115:{1,3,5,6}:{(100,1),(101,1),(126,1),(128,1)}
       116:{1,3,4,7}:{(101,1),(103,1),(127,1),(128,1)}
       117:{1,2,4,6}:{(102,1),(103,1),(128,1),(129,1)}
       118:{1,2,3,5}:{(104,1),(129,1)}
       119:{1,3,5,6}:{(105,1),(106,1),(108,1),(110,1),(130,1)}
       120:{1,2,5,7}:{(106,1),(107,1),(130,1)}
       121:{1,2,3,6,7}:{(107,1),(112,1),(131,1),(132,1)}
       122:{1,2,4,6}:{(108,1),(109,1),(130,1),(132,1)}
       123:{1,2,3,5,7}:{(109,1),(132,1),(133,1),(144,1)}
       124:{1,2,4,5,6}:{(110,1),(111,1),(113,1),(130,1),(134,1),(143,1)}
       125:{1,3,5,7}:{(111,1),(112,1),(114,1),(134,1),(135,1)}
       126:{2,3,5,6}:{(113,1),(114,1),(115,1),(134,1),(136,1)}
       127:{2,3,4,7}:{(114,1),(116,1),(135,1),(136,1)}
       128:{1,3,4,6}:{(115,1),(116,1),(117,1),(136,1),(137,1)}
       129:{1,2,4,5}:{(117,1),(118,1),(137,1)}
       130:{1,2,5,6}:{(119,1),(120,1),(122,1)}
       131:{1,2,3,5,7}:{(120,1),(121,1),(125,1),(138,1),(139,1)}
       132:{1,2,3,6}:{(122,1),(123,1)}
       133:{1,2,3,4,7}:{(123,1),(139,1),(140,1)}
       134:{1,3,5,6}:{(124,1),(125,1),(126,1),(141,1)}
       135:{1,3,4,7}:{(125,1),(127,1),(139,1),(141,1)}
       136:{2,3,4,6}:{(126,1),(127,1),(128,1),(141,1),(142,1)}
       137:{1,3,4,5}:{(128,1),(129,1),(142,1)}
       138:{1,2,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(143,1),(144,1)}
       139:{1,2,4,7}:{(131,1),(135,1),(143,1)}
       140:{1,2,3,4,6}:{(132,1),(133,1),(143,1),(144,1)}
       141:{1,3,4,6}:{(134,1),(135,1),(136,1),(143,1),(145,1)}
       142:{2,3,4,5}:{(136,1),(137,1),(145,1)}
       143:{1,2,4,6}:{(138,1),(139,1),(141,1),(146,1)}
       144:{1,2,3,5}:{(140,1),(146,1)}
       145:{1,3,4,5}:{(141,1),(142,1),(146,1)}
       146:{1,2,4,5}:{(143,1),(144,1),(145,1)}

3049 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

3050 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,5,6,7}:{(13,1),(24,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(25,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(25,1),(26,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(25,1),(27,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(30,1)}
       26:{1,2,3,6,7}:{(21,1),(30,1)}
       27:{1,3,4,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,3,5,6,7}:{(23,1),(24,1),(31,1),(32,1)}
       29:{1,4,5,6,7}:{(24,1),(32,1)}
       30:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(33,1)}
       31:{1,3,5,6,7}:{(27,1),(28,1),(33,1),(34,1)}
       32:{2,4,5,6,7}:{(28,1),(29,1),(34,1),(35,1)}
       33:{1,2,5,6,7}:{(30,1),(31,1)}
       34:{1,4,5,6,7}:{(31,1),(32,1)}
       35:{3,4,5,6,7}:{(32,1)}

3051 :   0:{1,2,3,4,6}:{(2,1),(3,1),(17,1),(18,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(26,1),(90,1)}
         2:{1,2,3,4,7}:{(0,1),(7,1),(34,1)}
         3:{1,2,3,5}:{(0,1),(8,1)}
         4:{1,3,4,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(80,1),(96,1),(99,1)}
         5:{2,3,4,5,7}:{(1,1),(10,1),(12,1),(45,1),(101,1)}
         6:{1,2,4,5,6}:{(11,1),(14,1),(15,1),(18,1),(50,1),(80,1)}
         7:{1,2,3,5,7}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,4,5}:{(3,1),(13,1),(18,1)}
         9:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(19,1),(50,1)}
        10:{2,3,4,6,7}:{(5,1),(23,1),(24,1),(62,1),(91,1)}
        11:{2,4,5,6}:{(4,1),(26,1),(27,1)}
        12:{1,3,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(31,1),(58,1),(93,1),(103,1),(104,1)}
        13:{1,3,4,5}:{(8,1),(25,1),(30,1)}
        14:{1,3,5,6}:{(6,1),(26,1),(30,1),(31,1)}
        15:{1,2,4,5,7}:{(6,1),(27,1),(29,1),(31,1),(34,1),(67,1),(93,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(28,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,6}:{(7,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(30,1),(34,1)}
        19:{1,2,3,5,7}:{(9,1),(31,1),(33,1),(34,1),(67,1)}
        20:{1,2,3,4,6}:{(35,1),(36,1),(69,1),(70,1)}
        21:{1,2,4,5,6}:{(11,1),(38,1),(39,1),(70,1),(94,1),(96,1)}
        22:{3,4,5,6,7}:{(40,1),(100,1)}
        23:{2,3,5,6,7}:{(10,1),(40,1),(41,1)}
        24:{1,3,4,6,7}:{(10,1),(12,1),(41,1),(43,1),(48,1),(74,1),(81,1),(97,1),(100,1)}
        25:{2,3,4,5}:{(13,1),(37,1),(44,1)}
        26:{2,3,5,6}:{(11,1),(14,1),(38,1),(44,1),(45,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(43,1),(45,1)}
        28:{1,3,4,5,7}:{(13,1),(16,1),(42,1),(47,1),(49,1),(82,1)}
        29:{1,2,4,6,7}:{(15,1),(43,1),(46,1),(48,1),(81,1)}
        30:{1,3,4,6}:{(13,1),(14,1),(18,1),(44,1),(49,1)}
        31:{1,3,5,7}:{(14,1),(15,1),(45,1),(48,1),(49,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(47,1),(50,1)}
        33:{1,2,3,6,7}:{(17,1),(19,1),(48,1),(51,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(49,1)}
        35:{1,2,3,4,7}:{(20,1),(52,1),(85,1)}
        36:{1,2,3,5}:{(20,1),(53,1)}
        37:{1,3,4,5}:{(25,1),(53,1),(57,1)}
        38:{1,3,5,6}:{(21,1),(26,1),(57,1),(58,1)}
        39:{1,2,4,5,7}:{(21,1),(27,1),(56,1),(58,1),(85,1),(102,1),(103,1)}
        40:{2,4,5,6,7}:{(22,1),(23,1),(59,1),(91,1)}
        41:{1,3,5,6,7}:{(23,1),(24,1),(59,1),(60,1),(89,1)}
        42:{2,3,4,5,7}:{(25,1),(28,1),(55,1),(61,1),(63,1),(92,1)}
        43:{2,4,6,7}:{(24,1),(27,1),(60,1),(62,1)}
        44:{2,3,4,6}:{(25,1),(26,1),(30,1),(57,1),(63,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(31,1),(58,1),(62,1),(63,1)}
        46:{1,2,5,6,7}:{(29,1),(60,1),(64,1),(67,1)}
        47:{1,3,4,6}:{(28,1),(32,1),(61,1),(65,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(62,1)}
        49:{1,3,4,7}:{(30,1),(31,1),(34,1),(63,1)}
        50:{1,2,5,6}:{(32,1),(65,1),(67,1)}
        51:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(66,1),(67,1)}
        52:{1,2,3,5,7}:{(35,1),(36,1),(68,1),(69,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(70,1)}
        54:{1,2,3,5,6}:{(36,1),(38,1),(69,1),(70,1),(71,1),(94,1)}
        55:{1,3,4,5,7}:{(37,1),(42,1),(68,1),(73,1),(75,1),(98,1)}
        56:{1,2,4,6,7}:{(39,1),(43,1),(72,1),(74,1),(97,1)}
        57:{1,3,4,6}:{(37,1),(38,1),(44,1),(70,1),(75,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(45,1),(74,1),(75,1)}
        59:{1,4,5,6,7}:{(40,1),(41,1),(76,1),(81,1),(97,1)}
        60:{2,5,6,7}:{(41,1),(43,1)}
        61:{2,3,4,6}:{(42,1),(47,1),(73,1),(78,1)}
        62:{2,3,6,7}:{(43,1),(45,1),(48,1),(74,1)}
        63:{2,3,4,7}:{(44,1),(45,1),(49,1),(75,1)}
        64:{1,3,5,6,7}:{(46,1),(48,1),(77,1),(81,1),(82,1)}
        65:{1,3,5,6}:{(47,1),(50,1),(78,1),(80,1),(82,1)}
        66:{1,3,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(79,1),(81,1),(82,1)}
        67:{1,2,5,7}:{(50,1),(51,1),(82,1)}
        68:{1,2,4,5,7}:{(52,1),(53,1),(55,1),(83,1),(85,1),(102,1)}
        69:{1,2,3,6}:{(52,1),(83,1)}
        70:{1,2,4,6}:{(53,1),(54,1),(57,1),(85,1)}
        71:{1,2,3,5,7}:{(54,1),(58,1),(84,1),(85,1),(102,1)}
        72:{1,2,5,6,7}:{(56,1),(60,1),(86,1),(102,1)}
        73:{1,3,4,6}:{(55,1),(61,1),(83,1),(87,1)}
        74:{1,3,6,7}:{(56,1),(58,1),(62,1)}
        75:{1,3,4,7}:{(57,1),(58,1),(63,1),(85,1)}
        76:{2,4,5,6,7}:{(59,1),(60,1),(89,1),(91,1)}
        77:{2,3,5,6,7}:{(60,1),(62,1),(64,1),(86,1),(89,1),(91,1),(92,1)}
        78:{2,3,5,6}:{(61,1),(65,1),(87,1),(90,1),(92,1)}
        79:{2,3,4,6,7}:{(61,1),(62,1),(63,1),(66,1),(88,1),(91,1),(92,1)}
        80:{1,4,5,6}:{(65,1),(90,1),(93,1)}
        81:{1,4,6,7}:{(64,1),(91,1),(93,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(67,1),(92,1),(93,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(73,1),(94,1)}
        84:{1,2,3,6,7}:{(69,1),(71,1),(74,1),(95,1)}
        85:{1,2,4,7}:{(70,1),(71,1),(75,1)}
        86:{1,3,5,6,7}:{(72,1),(74,1),(77,1),(97,1),(98,1)}
        87:{1,3,5,6}:{(73,1),(78,1),(94,1),(96,1),(98,1)}
        88:{1,3,4,6,7}:{(73,1),(74,1),(75,1),(79,1),(95,1),(97,1),(98,1)}
        89:{3,5,6,7}:{(76,1),(100,1)}
        90:{2,4,5,6}:{(78,1),(80,1),(96,1),(99,1),(101,1)}
        91:{2,4,6,7}:{(77,1),(81,1),(97,1),(100,1),(101,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(82,1),(98,1),(101,1)}
        93:{1,4,5,7}:{(80,1),(81,1),(82,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(87,1),(102,1)}
        95:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(88,1),(102,1)}
        96:{1,4,5,6}:{(87,1),(90,1),(103,1)}
        97:{1,4,6,7}:{(86,1),(91,1),(103,1)}
        98:{1,3,5,7}:{(87,1),(88,1),(92,1),(102,1),(103,1)}
        99:{3,4,5,6}:{(90,1),(104,1)}
       100:{3,4,6,7}:{(89,1),(91,1),(104,1)}
       101:{2,4,5,7}:{(90,1),(91,1),(92,1),(93,1),(103,1),(104,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(98,1)}
       103:{1,4,5,7}:{(96,1),(97,1),(98,1),(101,1)}
       104:{3,4,5,7}:{(99,1),(100,1),(101,1)}

3052 :   0:{1,3,4,5,6,7}:{(2,1),(12,1),(32,1),(67,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(41,1),(45,1),(84,1),(87,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(7,1),(20,1),(47,1),(87,1)}
         3:{1,2,3,5,6,7}:{(8,1),(23,1),(46,1),(55,1),(75,1),(77,1),(114,1),(131,1),(132,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(59,1),(66,1)}
         5:{1,3,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(62,1),(103,1),(106,1)}
         6:{2,3,5,6,7}:{(2,1),(9,1),(12,1),(99,1)}
         7:{1,4,5,6,7}:{(2,1),(12,1),(65,1),(106,1)}
         8:{1,2,4,6,7}:{(3,1),(14,1),(15,1),(65,1),(72,1),(95,1),(97,1),(124,1)}
         9:{2,3,4,6,7}:{(4,1),(6,1),(16,1),(47,1),(77,1),(84,1)}
        10:{1,3,4,5,7}:{(4,1),(5,1),(16,1),(18,1),(42,1),(86,1)}
        11:{2,4,5,6}:{(5,1),(18,1),(19,1),(82,1),(117,1)}
        12:{1,3,5,6,7}:{(6,1),(7,1),(16,1),(20,1),(115,1)}
        13:{1,2,4,5,6,7}:{(7,1),(20,1),(21,1),(24,1),(39,1),(47,1),(86,1),(114,1),(119,1)}
        14:{1,3,4,6,7}:{(8,1),(22,1),(23,1),(52,1),(110,1),(132,1)}
        15:{1,2,4,5,7}:{(8,1),(23,1),(24,1),(51,1),(86,1),(114,1)}
        16:{1,3,4,6,7}:{(9,1),(10,1),(12,1),(25,1),(57,1),(65,1),(103,1)}
        17:{1,2,4,5,6}:{(11,1),(26,1),(27,1),(60,1),(70,1),(96,1),(106,1),(108,1),(124,1),(126,1)}
        18:{2,4,5,7}:{(10,1),(11,1),(25,1),(28,1)}
        19:{2,3,5,6}:{(11,1),(27,1),(28,1),(29,1),(101,1),(127,1)}
        20:{2,5,6,7}:{(12,1),(25,1),(126,1)}
        21:{1,3,5,6,7}:{(13,1),(31,1),(32,1),(38,1),(57,1),(98,1),(129,1)}
        22:{2,3,4,6,7}:{(14,1),(36,1),(37,1),(72,1),(97,1),(100,1),(127,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        24:{1,2,4,5,6}:{(15,1),(38,1),(72,1),(106,1),(124,1),(126,1)}
        25:{2,4,6,7}:{(16,1),(18,1),(20,1),(40,1),(117,1)}
        26:{1,2,4,5,7}:{(17,1),(18,1),(39,1),(42,1),(81,1),(86,1),(114,1)}
        27:{1,3,5,6}:{(17,1),(19,1),(41,1),(42,1),(43,1),(89,1),(111,1),(120,1),(132,1)}
        28:{2,3,5,7}:{(18,1),(19,1),(40,1),(42,1),(44,1)}
        29:{2,3,4,6}:{(19,1),(43,1),(44,1),(45,1)}
        30:{1,2,5,6,7}:{(20,1),(39,1),(46,1),(92,1),(114,1),(131,1)}
        31:{2,3,5,6,7}:{(20,1),(21,1),(40,1),(46,1),(47,1),(55,1),(77,1),(79,1),(114,1),(134,1)}
        32:{1,3,4,6,7}:{(21,1),(47,1),(48,1),(52,1),(135,1)}
        33:{1,2,3,5,6}:{(41,1),(49,1),(50,1),(89,1),(92,1),(120,1)}
        34:{1,3,4,5,7}:{(23,1),(51,1),(52,1)}
        35:{1,2,3,6,7}:{(49,1),(53,1),(77,1),(120,1)}
        36:{1,3,4,6,7}:{(22,1),(53,1),(54,1),(88,1),(91,1),(120,1)}
        37:{2,3,5,7}:{(22,1),(23,1),(51,1),(54,1),(55,1),(114,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(52,1),(55,1),(132,1)}
        39:{1,2,4,6,7}:{(25,1),(26,1),(30,1),(57,1),(65,1),(97,1),(108,1),(124,1)}
        40:{2,3,6,7}:{(25,1),(28,1),(57,1),(127,1)}
        41:{2,3,5,6}:{(27,1),(59,1),(60,1),(101,1),(126,1),(127,1)}
        42:{1,3,5,7}:{(26,1),(27,1),(28,1),(57,1),(59,1),(61,1)}
        43:{1,3,4,6}:{(27,1),(29,1),(60,1),(61,1),(62,1)}
        44:{2,3,4,7}:{(28,1),(29,1),(61,1)}
        45:{2,3,4,5}:{(29,1),(62,1),(101,1)}
        46:{1,3,5,6,7}:{(30,1),(31,1),(57,1),(65,1),(74,1),(98,1),(137,1)}
        47:{2,4,6,7}:{(31,1),(32,1),(65,1),(66,1),(72,1),(138,1)}
        48:{1,3,4,5,7}:{(32,1),(66,1),(67,1),(98,1)}
        49:{1,2,3,5,7}:{(33,1),(35,1),(59,1),(69,1),(73,1),(107,1)}
        50:{1,2,4,6}:{(33,1),(60,1),(68,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(34,1),(37,1),(71,1),(72,1)}
        52:{1,3,4,6}:{(34,1),(38,1),(72,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(73,1),(97,1),(108,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(71,1),(73,1),(74,1)}
        55:{2,3,5,6}:{(37,1),(38,1),(72,1),(74,1),(126,1),(127,1)}
        56:{1,2,3,5,6}:{(41,1),(75,1),(76,1),(111,1),(131,1),(132,1)}
        57:{1,3,6,7}:{(39,1),(40,1),(42,1),(77,1),(120,1),(132,1)}
        58:{2,3,4,6,7}:{(40,1),(44,1),(47,1),(78,1),(79,1),(84,1)}
        59:{2,3,5,7}:{(41,1),(42,1),(77,1),(81,1),(114,1)}
        60:{2,4,6}:{(41,1),(43,1),(81,1),(82,1)}
        61:{1,3,4,7}:{(42,1),(43,1),(44,1),(81,1)}
        62:{1,3,4,5}:{(43,1),(45,1),(82,1),(89,1),(111,1)}
        63:{2,3,4,5,7}:{(44,1),(45,1),(51,1),(79,1),(83,1),(84,1),(116,1),(133,1)}
        64:{1,2,3,5,6,7}:{(46,1),(49,1),(77,1),(85,1),(92,1),(114,1),(118,1),(120,1),(134,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(86,1),(91,1),(139,1)}
        66:{2,4,5,7}:{(47,1),(48,1),(79,1),(86,1),(87,1),(114,1)}
        67:{1,3,4,5,6}:{(48,1),(52,1),(87,1),(115,1),(135,1)}
        68:{1,3,4,6}:{(50,1),(80,1),(88,1),(89,1),(120,1)}
        69:{1,2,4,7}:{(49,1),(50,1),(81,1),(88,1)}
        70:{1,2,4,5}:{(50,1),(82,1),(89,1)}
        71:{1,4,5,7}:{(51,1),(54,1),(91,1)}
        72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1)}
        73:{1,2,5,7}:{(53,1),(54,1),(92,1),(114,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(91,1),(92,1),(120,1)}
        75:{1,2,3,5,7}:{(56,1),(59,1),(93,1),(95,1),(122,1),(123,1)}
        76:{1,2,4,6}:{(56,1),(60,1),(94,1),(95,1),(96,1)}
        77:{2,3,6,7}:{(57,1),(59,1),(97,1),(127,1)}
        78:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(65,1),(97,1),(98,1),(103,1)}
        79:{2,3,5,7}:{(58,1),(66,1),(98,1),(99,1)}
        80:{2,3,4,6}:{(60,1),(68,1),(94,1),(100,1),(101,1),(127,1)}
        81:{2,4,7}:{(59,1),(60,1),(61,1)}
        82:{2,4,5}:{(60,1),(62,1),(101,1)}
        83:{1,3,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(102,1),(103,1),(107,1),(123,1),(136,1)}
        84:{2,3,4,6}:{(63,1),(72,1),(99,1),(103,1),(127,1),(138,1)}
        85:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(97,1),(104,1),(105,1),(108,1),(138,1)}
        86:{1,4,5,7}:{(65,1),(66,1),(98,1),(106,1)}
        87:{2,4,5,6}:{(66,1),(67,1),(72,1),(99,1),(106,1),(126,1),(138,1)}
        88:{1,3,4,7}:{(68,1),(69,1),(100,1),(107,1)}
        89:{1,3,5}:{(68,1),(70,1),(101,1)}
        90:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(73,1),(102,1),(107,1),(108,1)}
        91:{1,4,6}:{(71,1),(72,1),(74,1)}
        92:{1,2,5,6}:{(73,1),(74,1),(108,1),(126,1)}
        93:{1,2,3,6,7}:{(75,1),(77,1),(109,1),(132,1)}
        94:{1,3,4,6}:{(76,1),(80,1),(110,1),(111,1),(132,1)}
        95:{1,2,4,7}:{(75,1),(76,1),(81,1),(110,1)}
        96:{1,2,4,5}:{(76,1),(82,1),(111,1)}
        97:{2,4,6,7}:{(77,1),(78,1),(81,1),(114,1),(117,1)}
        98:{1,3,5,7}:{(78,1),(79,1),(86,1),(114,1),(115,1)}
        99:{2,3,5,6}:{(79,1),(84,1),(87,1),(115,1)}
       100:{2,3,4,7}:{(80,1),(81,1),(88,1),(110,1),(116,1)}
       101:{2,3,5}:{(80,1),(82,1),(89,1),(111,1)}
       102:{2,4,5,7}:{(81,1),(82,1),(83,1),(114,1),(116,1),(117,1)}
       103:{1,3,4,6}:{(83,1),(84,1),(91,1),(115,1),(117,1),(120,1),(132,1),(139,1)}
       104:{1,3,4,6,7}:{(85,1),(88,1),(113,1),(118,1),(120,1),(135,1)}
       105:{1,2,4,5,7}:{(85,1),(86,1),(114,1),(118,1),(119,1),(133,1)}
       106:{1,4,5,6}:{(86,1),(87,1),(91,1),(115,1),(139,1)}
       107:{1,3,5,7}:{(88,1),(89,1),(90,1),(116,1),(120,1)}
       108:{1,2,4,6}:{(90,1),(91,1),(92,1),(117,1),(120,1)}
       109:{1,2,4,6,7}:{(93,1),(95,1),(97,1),(121,1),(122,1),(124,1)}
       110:{1,3,4,7}:{(94,1),(95,1),(100,1),(123,1)}
       111:{1,3,5}:{(94,1),(96,1),(101,1)}
       112:{1,2,4,5,7}:{(95,1),(96,1),(102,1),(122,1),(123,1),(124,1),(136,1)}
       113:{2,3,4,6,7}:{(97,1),(100,1),(104,1),(121,1),(125,1),(127,1),(138,1)}
       114:{2,5,7}:{(97,1),(98,1),(126,1)}
       115:{1,3,5,6}:{(98,1),(99,1),(103,1),(106,1),(126,1)}
       116:{2,3,5,7}:{(100,1),(101,1),(102,1),(107,1),(123,1),(127,1)}
       117:{2,4,6}:{(102,1),(103,1),(126,1),(127,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(129,1)}
       119:{1,2,4,5,6}:{(105,1),(106,1),(108,1),(126,1),(129,1),(138,1)}
       120:{1,3,6}:{(107,1),(108,1),(127,1)}
       121:{1,3,4,6,7}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(109,1),(114,1),(130,1),(131,1)}
       123:{1,3,5,7}:{(110,1),(111,1),(112,1),(116,1),(132,1)}
       124:{1,2,4,6}:{(112,1),(117,1),(131,1),(132,1),(139,1)}
       125:{2,3,5,7}:{(113,1),(114,1),(118,1),(130,1),(133,1),(134,1)}
       126:{2,5,6}:{(114,1),(115,1),(117,1)}
       127:{2,3,6}:{(116,1),(117,1),(120,1),(132,1)}
       128:{1,3,4,5,7}:{(118,1),(133,1),(135,1)}
       129:{1,3,5,6}:{(118,1),(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(125,1),(136,1),(137,1)}
       131:{1,2,5,6}:{(122,1),(124,1),(126,1),(137,1)}
       132:{1,3,6}:{(123,1),(124,1),(127,1)}
       133:{2,4,5,7}:{(125,1),(128,1),(136,1),(138,1)}
       134:{2,3,5,6}:{(125,1),(126,1),(127,1),(129,1),(137,1),(138,1)}
       135:{1,3,4,6}:{(128,1),(129,1),(138,1)}
       136:{1,4,5,7}:{(130,1),(133,1),(139,1)}
       137:{1,3,5,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,4,6}:{(136,1),(137,1),(138,1)}

3053 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

3054 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(39,1),(96,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(31,1),(98,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(79,1),(98,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(47,1),(79,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(47,1)}
         6:{2,3,4,6,7}:{(1,1),(19,1),(20,1),(57,1),(86,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(20,1),(21,1),(24,1),(49,1),(89,1),(99,1),(101,1)}
         8:{2,4,5,6}:{(2,1),(21,1),(22,1)}
         9:{1,2,4,5,7}:{(3,1),(21,1),(23,1),(24,1),(27,1),(63,1),(89,1)}
        10:{1,3,5,6}:{(3,1),(22,1),(24,1),(25,1)}
        11:{1,2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(63,1)}
        12:{1,2,4,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,3,4,7}:{(5,1),(27,1),(29,1)}
        14:{1,2,3,5}:{(5,1),(28,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(33,1),(94,1),(103,1)}
        16:{1,2,3,5,6}:{(31,1),(32,1),(33,1),(35,1),(71,1),(94,1)}
        17:{1,2,3,4,6}:{(33,1),(34,1),(35,1),(71,1)}
        18:{3,4,5,6,7}:{(36,1),(95,1)}
        19:{2,3,5,6,7}:{(6,1),(36,1),(37,1)}
        20:{1,3,4,6,7}:{(6,1),(7,1),(37,1),(38,1),(42,1),(66,1),(76,1),(91,1),(95,1)}
        21:{2,4,5,7}:{(7,1),(8,1),(38,1),(39,1)}
        22:{2,3,5,6}:{(8,1),(10,1),(31,1),(39,1),(40,1)}
        23:{1,2,4,6,7}:{(9,1),(38,1),(41,1),(42,1),(76,1)}
        24:{1,3,5,7}:{(9,1),(10,1),(39,1),(42,1),(43,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(40,1),(43,1),(44,1)}
        26:{1,2,3,6,7}:{(11,1),(42,1),(45,1),(47,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1)}
        28:{1,2,4,5}:{(12,1),(14,1),(44,1)}
        29:{1,2,3,5,7}:{(13,1),(14,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(21,1),(48,1),(49,1),(52,1),(83,1),(99,1)}
        31:{1,3,5,6}:{(15,1),(22,1),(49,1),(50,1)}
        32:{1,2,3,5,7}:{(16,1),(49,1),(51,1),(52,1),(83,1)}
        33:{1,2,4,6}:{(16,1),(50,1),(52,1),(53,1)}
        34:{1,2,3,4,7}:{(17,1),(52,1),(54,1)}
        35:{1,2,3,5}:{(17,1),(53,1)}
        36:{2,4,5,6,7}:{(18,1),(19,1),(55,1),(86,1)}
        37:{1,3,5,6,7}:{(19,1),(20,1),(55,1),(56,1),(85,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(56,1),(57,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,3,4,6}:{(22,1),(25,1),(50,1),(58,1),(59,1)}
        41:{1,2,5,6,7}:{(23,1),(56,1),(60,1),(63,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(57,1)}
        43:{1,3,4,7}:{(24,1),(25,1),(27,1),(58,1)}
        44:{1,3,4,5}:{(25,1),(28,1),(59,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(61,1),(63,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(62,1),(63,1),(64,1)}
        47:{1,2,3,6}:{(29,1),(64,1)}
        48:{1,2,4,6,7}:{(30,1),(38,1),(65,1),(66,1),(91,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(39,1),(66,1),(67,1)}
        50:{1,3,4,6}:{(31,1),(33,1),(40,1),(67,1),(68,1)}
        51:{1,2,3,6,7}:{(32,1),(66,1),(69,1),(71,1)}
        52:{1,2,4,7}:{(32,1),(33,1),(67,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(68,1)}
        54:{1,2,3,5,7}:{(34,1),(35,1),(70,1),(71,1)}
        55:{1,4,5,6,7}:{(36,1),(37,1),(72,1),(76,1),(91,1)}
        56:{2,5,6,7}:{(37,1),(38,1)}
        57:{2,3,6,7}:{(38,1),(39,1),(42,1),(66,1)}
        58:{2,3,4,7}:{(39,1),(40,1),(43,1),(67,1)}
        59:{2,3,4,5}:{(40,1),(44,1),(68,1)}
        60:{1,3,5,6,7}:{(41,1),(42,1),(73,1),(76,1),(77,1)}
        61:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(74,1),(76,1),(77,1),(78,1)}
        62:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(75,1),(77,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(77,1),(79,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(78,1),(79,1)}
        65:{1,2,5,6,7}:{(48,1),(56,1),(80,1),(83,1)}
        66:{1,3,6,7}:{(48,1),(49,1),(57,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(52,1),(58,1)}
        68:{1,3,4,5}:{(50,1),(53,1),(59,1)}
        69:{1,2,4,6,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        70:{1,2,4,5,7}:{(52,1),(53,1),(54,1),(82,1),(83,1),(84,1)}
        71:{1,2,3,6}:{(54,1),(84,1)}
        72:{2,4,5,6,7}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,3,5,6,7}:{(56,1),(57,1),(60,1),(80,1),(85,1),(86,1),(87,1)}
        74:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(81,1),(86,1),(87,1),(88,1)}
        75:{2,3,4,5,7}:{(58,1),(59,1),(62,1),(82,1),(87,1),(88,1)}
        76:{1,4,6,7}:{(60,1),(86,1),(89,1)}
        77:{1,3,5,7}:{(61,1),(63,1),(87,1),(89,1),(90,1)}
        78:{1,3,4,6}:{(62,1),(64,1),(88,1),(90,1)}
        79:{1,2,5,6}:{(63,1),(64,1),(90,1)}
        80:{1,3,5,6,7}:{(65,1),(66,1),(73,1),(91,1),(92,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(69,1),(74,1),(91,1),(92,1),(93,1)}
        82:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(92,1),(93,1)}
        83:{1,2,5,7}:{(69,1),(92,1),(94,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(93,1),(94,1)}
        85:{3,5,6,7}:{(72,1),(95,1)}
        86:{2,4,6,7}:{(73,1),(76,1),(91,1),(95,1),(96,1)}
        87:{2,3,5,7}:{(74,1),(77,1),(92,1),(96,1),(97,1)}
        88:{2,3,4,6}:{(75,1),(78,1),(93,1),(97,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(96,1),(98,1)}
        90:{1,3,5,6}:{(77,1),(78,1),(79,1),(97,1),(98,1)}
        91:{1,4,6,7}:{(80,1),(86,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(83,1),(87,1),(99,1),(100,1)}
        93:{1,3,4,6}:{(82,1),(84,1),(88,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(100,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(101,1)}
        96:{2,4,5,7}:{(86,1),(87,1),(89,1),(99,1),(101,1),(102,1)}
        97:{2,3,5,6}:{(87,1),(88,1),(90,1),(100,1),(102,1)}
        98:{1,4,5,6}:{(89,1),(90,1),(102,1)}
        99:{1,4,5,7}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,3,5,6}:{(92,1),(93,1),(94,1),(97,1),(103,1)}
       101:{3,4,5,7}:{(95,1),(96,1),(104,1)}
       102:{2,4,5,6}:{(96,1),(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5,6}:{(99,1),(100,1),(102,1)}
       104:{3,4,5,6}:{(101,1),(102,1)}

3055 :   0:{1,3,4,5,6,7}:{(1,1),(6,1),(21,1),(46,1)}
         1:{2,4,5,6,7}:{(0,1),(2,1),(3,1),(12,1),(31,1),(65,1)}
         2:{2,3,5,6,7}:{(1,1),(5,1),(6,1),(86,1)}
         3:{1,4,5,6,7}:{(1,1),(6,1),(44,1),(87,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(56,1),(60,1),(65,1),(106,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(11,1),(31,1),(61,1),(106,1)}
         6:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(12,1),(108,1)}
         7:{1,2,4,5,6,7}:{(3,1),(12,1),(13,1),(28,1),(31,1),(35,1),(55,1),(64,1),(107,1)}
         8:{1,2,3,5,6,7}:{(14,1),(30,1),(34,1),(61,1),(72,1),(95,1),(107,1),(132,1),(139,1)}
         9:{2,3,4,5,7}:{(4,1),(5,1),(16,1),(45,1),(79,1)}
        10:{1,3,4,5,6}:{(4,1),(16,1),(17,1),(39,1),(82,1),(87,1),(124,1)}
        11:{1,3,4,6,7}:{(5,1),(6,1),(16,1),(18,1),(42,1),(44,1),(124,1)}
        12:{2,5,6,7}:{(6,1),(18,1),(125,1)}
        13:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(42,1),(52,1),(78,1),(85,1)}
        14:{1,2,4,6,7}:{(8,1),(22,1),(23,1),(44,1),(84,1),(92,1),(115,1),(137,1)}
        15:{1,2,3,5,6,7}:{(24,1),(30,1),(54,1),(61,1),(66,1),(101,1),(107,1),(113,1),(135,1)}
        16:{1,3,4,5,7}:{(9,1),(10,1),(11,1),(26,1),(57,1),(64,1)}
        17:{2,4,5,6}:{(10,1),(26,1),(27,1),(104,1),(134,1)}
        18:{2,4,6,7}:{(11,1),(12,1),(26,1),(29,1),(134,1)}
        19:{1,2,5,6,7}:{(12,1),(28,1),(30,1),(107,1),(113,1),(132,1)}
        20:{2,3,5,6,7}:{(12,1),(13,1),(29,1),(30,1),(31,1),(61,1),(63,1),(72,1),(101,1),(107,1)}
        21:{1,3,4,6,7}:{(13,1),(31,1),(32,1),(69,1),(98,1)}
        22:{1,3,4,6,7}:{(14,1),(33,1),(34,1),(69,1),(128,1),(139,1)}
        23:{1,2,4,5,7}:{(14,1),(34,1),(35,1),(64,1),(68,1),(107,1)}
        24:{1,2,4,6,7}:{(15,1),(36,1),(37,1),(44,1),(84,1),(89,1),(118,1),(127,1)}
        25:{1,2,4,5,6}:{(17,1),(38,1),(39,1),(80,1),(87,1),(90,1),(116,1),(125,1),(127,1),(137,1)}
        26:{2,4,5,7}:{(16,1),(17,1),(18,1),(40,1)}
        27:{2,3,5,6}:{(17,1),(39,1),(40,1),(41,1),(122,1),(138,1)}
        28:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(42,1),(44,1),(84,1),(127,1),(137,1)}
        29:{2,3,6,7}:{(18,1),(40,1),(42,1),(138,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(42,1),(44,1),(85,1),(94,1),(120,1)}
        31:{2,4,6,7}:{(20,1),(21,1),(44,1),(45,1),(92,1),(118,1)}
        32:{1,3,4,5,7}:{(21,1),(45,1),(46,1),(85,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(84,1),(92,1),(121,1),(138,1)}
        34:{1,3,5,7}:{(22,1),(23,1),(51,1),(52,1)}
        35:{1,2,4,5,6}:{(23,1),(52,1),(87,1),(92,1),(125,1),(137,1)}
        36:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(98,1),(109,1),(135,1)}
        37:{1,2,4,5,7}:{(24,1),(54,1),(55,1),(64,1),(97,1),(107,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(57,1),(64,1),(103,1),(107,1)}
        39:{1,3,5,6}:{(25,1),(27,1),(56,1),(57,1),(58,1),(110,1),(129,1),(135,1),(139,1)}
        40:{2,3,5,7}:{(26,1),(27,1),(29,1),(57,1),(59,1)}
        41:{2,3,4,6}:{(27,1),(58,1),(59,1),(60,1)}
        42:{1,3,6,7}:{(28,1),(29,1),(57,1),(61,1),(135,1),(139,1)}
        43:{2,3,4,6,7}:{(29,1),(31,1),(59,1),(62,1),(63,1),(106,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(64,1),(112,1),(131,1)}
        45:{2,4,5,7}:{(31,1),(32,1),(63,1),(64,1),(65,1),(107,1)}
        46:{1,3,4,5,6}:{(32,1),(65,1),(69,1),(98,1),(108,1)}
        47:{1,2,3,5,6}:{(56,1),(66,1),(67,1),(110,1),(113,1),(135,1)}
        48:{1,3,4,5,7}:{(34,1),(68,1),(69,1)}
        49:{1,2,3,6,7}:{(61,1),(66,1),(70,1),(135,1)}
        50:{1,3,4,6,7}:{(33,1),(70,1),(71,1),(109,1),(112,1),(135,1)}
        51:{2,3,5,7}:{(33,1),(34,1),(68,1),(71,1),(72,1),(107,1)}
        52:{1,3,5,6}:{(34,1),(35,1),(69,1),(72,1),(139,1)}
        53:{2,3,4,6,7}:{(36,1),(76,1),(77,1),(84,1),(118,1),(121,1),(138,1)}
        54:{1,3,5,7}:{(36,1),(37,1),(77,1),(78,1)}
        55:{1,2,4,5,6}:{(37,1),(78,1),(87,1),(118,1),(125,1),(127,1)}
        56:{2,3,5,6}:{(39,1),(79,1),(80,1),(122,1),(125,1),(138,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(40,1),(42,1),(79,1),(81,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(80,1),(81,1),(82,1)}
        59:{2,3,4,7}:{(40,1),(41,1),(81,1)}
        60:{2,3,4,5}:{(41,1),(82,1),(122,1)}
        61:{2,3,6,7}:{(42,1),(79,1),(84,1),(138,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(44,1),(81,1),(84,1),(85,1),(124,1)}
        63:{2,3,5,7}:{(43,1),(45,1),(85,1),(86,1)}
        64:{1,4,5,7}:{(44,1),(45,1),(85,1),(87,1)}
        65:{2,4,5,6}:{(45,1),(46,1),(86,1),(87,1),(92,1),(118,1),(125,1)}
        66:{1,2,3,5,7}:{(47,1),(49,1),(79,1),(89,1),(93,1),(126,1)}
        67:{1,2,4,6}:{(47,1),(80,1),(88,1),(89,1),(90,1)}
        68:{2,4,5,7}:{(48,1),(51,1),(91,1),(92,1)}
        69:{1,3,4,6}:{(48,1),(52,1),(92,1)}
        70:{1,2,4,6,7}:{(49,1),(50,1),(84,1),(89,1),(93,1),(127,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(91,1),(93,1),(94,1)}
        72:{2,3,5,6}:{(51,1),(52,1),(92,1),(94,1),(125,1),(138,1)}
        73:{1,2,3,5,6}:{(56,1),(95,1),(96,1),(129,1),(132,1),(139,1)}
        74:{1,3,4,5,7}:{(54,1),(97,1),(98,1)}
        75:{1,2,3,6,7}:{(61,1),(95,1),(99,1),(139,1)}
        76:{1,3,4,6,7}:{(53,1),(99,1),(100,1),(128,1),(131,1),(139,1)}
        77:{2,3,5,7}:{(53,1),(54,1),(97,1),(100,1),(101,1),(107,1)}
        78:{1,3,5,6}:{(54,1),(55,1),(98,1),(101,1),(135,1)}
        79:{2,3,5,7}:{(56,1),(57,1),(61,1),(103,1),(107,1)}
        80:{2,4,6}:{(56,1),(58,1),(103,1),(104,1)}
        81:{1,3,4,7}:{(57,1),(58,1),(59,1),(103,1)}
        82:{1,3,4,5}:{(58,1),(60,1),(104,1),(110,1),(129,1)}
        83:{2,3,4,5,7}:{(59,1),(60,1),(63,1),(68,1),(97,1),(105,1),(106,1),(133,1)}
        84:{2,4,6,7}:{(61,1),(62,1),(103,1),(107,1),(134,1)}
        85:{1,3,5,7}:{(62,1),(63,1),(64,1),(107,1),(108,1)}
        86:{2,3,5,6}:{(63,1),(65,1),(106,1),(108,1)}
        87:{1,4,5,6}:{(64,1),(65,1),(108,1),(112,1),(131,1)}
        88:{1,3,4,6}:{(67,1),(102,1),(109,1),(110,1),(135,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(103,1),(109,1)}
        90:{1,2,4,5}:{(67,1),(104,1),(110,1)}
        91:{1,4,5,7}:{(68,1),(71,1),(112,1)}
        92:{2,4,6}:{(68,1),(69,1),(72,1),(112,1)}
        93:{1,2,5,7}:{(70,1),(71,1),(107,1),(113,1)}
        94:{1,3,5,6}:{(71,1),(72,1),(112,1),(113,1),(135,1)}
        95:{1,2,3,5,7}:{(73,1),(75,1),(79,1),(115,1),(119,1),(136,1)}
        96:{1,2,4,6}:{(73,1),(80,1),(114,1),(115,1),(116,1)}
        97:{2,4,5,7}:{(74,1),(77,1),(117,1),(118,1)}
        98:{1,3,4,6}:{(74,1),(78,1),(118,1)}
        99:{1,2,4,6,7}:{(75,1),(76,1),(84,1),(115,1),(119,1),(137,1)}
       100:{1,3,5,7}:{(76,1),(77,1),(117,1),(119,1),(120,1)}
       101:{2,3,5,6}:{(77,1),(78,1),(118,1),(120,1),(125,1),(138,1)}
       102:{2,3,4,6}:{(80,1),(88,1),(114,1),(121,1),(122,1),(138,1)}
       103:{2,4,7}:{(79,1),(80,1),(81,1)}
       104:{2,4,5}:{(80,1),(82,1),(122,1)}
       105:{1,3,4,5,7}:{(81,1),(82,1),(83,1),(85,1),(91,1),(117,1),(123,1),(124,1),(126,1),(136,1)}
       106:{2,3,4,6}:{(83,1),(86,1),(92,1),(118,1),(124,1),(138,1)}
       107:{2,5,7}:{(84,1),(85,1),(125,1)}
       108:{1,3,5,6}:{(85,1),(86,1),(87,1),(124,1),(125,1)}
       109:{1,3,4,7}:{(88,1),(89,1),(121,1),(126,1)}
       110:{1,3,5}:{(88,1),(90,1),(122,1)}
       111:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(126,1),(127,1)}
       112:{1,4,6}:{(91,1),(92,1),(94,1)}
       113:{1,2,5,6}:{(93,1),(94,1),(125,1),(127,1)}
       114:{1,3,4,6}:{(96,1),(102,1),(128,1),(129,1),(139,1)}
       115:{1,2,4,7}:{(95,1),(96,1),(103,1),(128,1)}
       116:{1,2,4,5}:{(96,1),(104,1),(129,1)}
       117:{1,4,5,7}:{(97,1),(100,1),(131,1)}
       118:{2,4,6}:{(97,1),(98,1),(101,1),(131,1)}
       119:{1,2,5,7}:{(99,1),(100,1),(107,1),(132,1)}
       120:{1,3,5,6}:{(100,1),(101,1),(131,1),(132,1),(139,1)}
       121:{2,3,4,7}:{(102,1),(103,1),(109,1),(128,1),(133,1)}
       122:{2,3,5}:{(102,1),(104,1),(110,1),(129,1)}
       123:{2,4,5,7}:{(103,1),(104,1),(105,1),(107,1),(133,1),(134,1)}
       124:{1,3,4,6}:{(105,1),(106,1),(108,1),(112,1),(131,1),(134,1),(135,1),(139,1)}
       125:{2,5,6}:{(107,1),(108,1),(134,1)}
       126:{1,3,5,7}:{(109,1),(110,1),(111,1),(133,1),(135,1)}
       127:{1,2,4,6}:{(111,1),(112,1),(113,1),(134,1),(135,1)}
       128:{1,3,4,7}:{(114,1),(115,1),(121,1),(136,1)}
       129:{1,3,5}:{(114,1),(116,1),(122,1)}
       130:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(119,1),(123,1),(136,1),(137,1)}
       131:{1,4,6}:{(117,1),(118,1),(120,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(125,1),(137,1)}
       133:{2,3,5,7}:{(121,1),(122,1),(123,1),(126,1),(136,1),(138,1)}
       134:{2,4,6}:{(123,1),(124,1),(125,1),(138,1)}
       135:{1,3,6}:{(126,1),(127,1),(138,1)}
       136:{1,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(139,1)}
       137:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(139,1)}
       138:{2,3,6}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,6}:{(136,1),(137,1),(138,1)}

3056 :   0:{1,3,4,5,6,7}:{(2,1),(9,1),(12,1),(28,1)}
         1:{1,2,4,5,6,7}:{(4,1),(6,1),(17,1),(21,1),(22,1),(39,1),(45,1),(46,1),(81,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(6,1),(17,1),(21,1),(44,1)}
         3:{1,2,3,5,6,7}:{(7,1),(18,1),(23,1),(52,1),(81,1),(82,1),(109,1),(110,1),(130,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(36,1),(56,1),(61,1),(65,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(12,1),(60,1)}
         6:{1,4,5,6,7}:{(2,1),(12,1),(30,1),(63,1)}
         7:{1,2,4,6,7}:{(3,1),(13,1),(14,1),(30,1),(62,1),(68,1),(120,1),(123,1)}
         8:{1,2,3,5,6,7}:{(15,1),(18,1),(40,1),(75,1),(81,1),(82,1),(89,1),(90,1),(117,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(50,1),(73,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(18,1),(21,1),(42,1),(49,1),(52,1),(75,1),(81,1),(82,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(20,1),(78,1),(82,1)}
        12:{1,3,5,6,7}:{(5,1),(6,1),(20,1),(21,1),(80,1)}
        13:{1,2,4,5,7}:{(7,1),(22,1),(23,1),(45,1),(51,1),(81,1)}
        14:{1,3,4,6,7}:{(7,1),(23,1),(24,1),(50,1),(130,1),(131,1)}
        15:{1,2,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(62,1),(91,1),(103,1),(106,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(61,1)}
        17:{2,4,6,7}:{(9,1),(10,1),(29,1),(30,1),(68,1),(91,1)}
        18:{1,3,5,6,7}:{(10,1),(30,1),(31,1),(61,1),(65,1),(70,1),(93,1)}
        19:{2,3,4,5,7}:{(11,1),(29,1),(32,1),(33,1),(99,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(30,1),(33,1),(34,1),(65,1),(96,1)}
        21:{2,5,6,7}:{(12,1),(34,1),(98,1)}
        22:{1,2,4,5,6}:{(13,1),(36,1),(63,1),(68,1),(98,1),(120,1)}
        23:{1,3,5,7}:{(13,1),(14,1),(36,1),(37,1)}
        24:{2,3,4,6,7}:{(14,1),(37,1),(38,1),(62,1),(68,1),(124,1),(125,1)}
        25:{1,2,4,5,7}:{(15,1),(39,1),(40,1),(45,1),(74,1),(81,1)}
        26:{1,3,4,6,7}:{(15,1),(40,1),(41,1),(73,1),(117,1),(118,1)}
        27:{2,3,4,6,7}:{(17,1),(42,1),(43,1),(49,1),(78,1),(86,1)}
        28:{1,3,4,5,6}:{(16,1),(44,1),(50,1),(73,1),(80,1)}
        29:{2,4,5,7}:{(16,1),(17,1),(42,1),(44,1),(45,1),(81,1)}
        30:{1,4,6,7}:{(17,1),(18,1),(45,1),(87,1),(107,1)}
        31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(81,1),(89,1),(109,1)}
        32:{2,3,4,5,6}:{(19,1),(44,1),(47,1),(78,1),(113,1),(116,1)}
        33:{1,3,4,5,7}:{(19,1),(20,1),(45,1),(47,1),(48,1),(84,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(48,1),(49,1),(111,1)}
        35:{1,3,4,5,7}:{(23,1),(50,1),(51,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(50,1),(52,1),(130,1)}
        37:{2,3,5,7}:{(23,1),(24,1),(51,1),(52,1),(53,1),(81,1)}
        38:{1,3,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(117,1),(118,1)}
        39:{1,2,4,5,6}:{(25,1),(56,1),(63,1),(91,1),(98,1),(103,1)}
        40:{1,3,5,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(26,1),(57,1),(58,1),(62,1),(91,1),(124,1),(125,1)}
        42:{2,3,5,7}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(27,1),(30,1),(61,1),(62,1),(65,1),(96,1),(101,1)}
        44:{2,4,5,6}:{(28,1),(29,1),(60,1),(63,1),(68,1),(91,1),(98,1)}
        45:{1,4,5,7}:{(29,1),(30,1),(61,1),(63,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(62,1),(64,1),(65,1),(103,1),(120,1)}
        47:{1,3,4,5,6}:{(32,1),(33,1),(63,1),(66,1),(96,1),(100,1),(127,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(34,1),(65,1),(67,1),(124,1)}
        50:{1,3,4,6}:{(35,1),(36,1),(68,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(68,1),(69,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(68,1),(70,1),(98,1),(124,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(69,1),(70,1),(71,1)}
        54:{1,2,4,6,7}:{(38,1),(62,1),(71,1),(72,1),(103,1),(106,1)}
        55:{1,3,4,5,7}:{(40,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(40,1),(73,1),(75,1),(117,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(74,1),(75,1),(76,1),(81,1)}
        58:{1,3,4,6,7}:{(41,1),(76,1),(77,1),(107,1),(130,1),(131,1)}
        59:{2,3,4,5,7}:{(42,1),(51,1),(74,1),(78,1),(79,1),(86,1),(112,1),(116,1)}
        60:{2,3,5,6}:{(42,1),(44,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(45,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(81,1),(82,1),(111,1),(114,1)}
        63:{1,4,5,6}:{(44,1),(45,1),(80,1),(87,1),(107,1)}
        64:{1,2,4,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1),(84,1),(114,1)}
        65:{1,3,6,7}:{(46,1),(49,1),(82,1),(84,1),(117,1),(130,1)}
        66:{2,4,5,6}:{(47,1),(48,1),(85,1),(111,1),(134,1)}
        67:{2,3,5,7}:{(48,1),(49,1),(84,1),(85,1),(86,1)}
        68:{2,4,6}:{(50,1),(51,1),(52,1),(87,1)}
        69:{1,4,5,7}:{(51,1),(53,1),(87,1)}
        70:{1,3,5,6}:{(52,1),(53,1),(87,1),(89,1),(117,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(81,1),(89,1)}
        72:{1,2,3,6,7}:{(54,1),(82,1),(90,1),(117,1)}
        73:{1,3,4,6}:{(55,1),(56,1),(91,1)}
        74:{2,4,5,7}:{(55,1),(57,1),(91,1),(92,1)}
        75:{2,3,5,6}:{(56,1),(57,1),(91,1),(93,1),(98,1),(124,1)}
        76:{1,3,5,7}:{(57,1),(58,1),(92,1),(93,1),(94,1)}
        77:{1,2,4,6,7}:{(58,1),(62,1),(94,1),(95,1),(120,1),(123,1)}
        78:{2,3,4,6}:{(59,1),(60,1),(68,1),(91,1),(96,1),(124,1)}
        79:{1,3,4,5,7}:{(59,1),(61,1),(69,1),(92,1),(96,1),(97,1),(101,1),(104,1),(121,1),(127,1)}
        80:{1,3,5,6}:{(60,1),(61,1),(63,1),(96,1),(98,1)}
        81:{2,5,7}:{(61,1),(62,1),(98,1)}
        82:{2,3,6,7}:{(62,1),(65,1),(99,1),(124,1)}
        83:{1,2,4,5,6}:{(63,1),(64,1),(66,1),(98,1),(100,1),(103,1),(120,1),(126,1),(129,1),(137,1)}
        84:{1,3,5,7}:{(64,1),(65,1),(67,1),(99,1),(100,1),(101,1)}
        85:{2,3,5,6}:{(66,1),(67,1),(100,1),(102,1),(124,1),(138,1)}
        86:{2,3,4,7}:{(67,1),(101,1),(102,1)}
        87:{1,4,6}:{(68,1),(69,1),(70,1)}
        88:{1,2,4,5,7}:{(69,1),(71,1),(97,1),(103,1),(104,1),(106,1),(129,1)}
        89:{1,2,5,6}:{(70,1),(71,1),(98,1),(103,1)}
        90:{1,2,3,5,7}:{(71,1),(72,1),(99,1),(104,1),(105,1),(106,1)}
        91:{2,4,6}:{(73,1),(74,1),(75,1),(107,1)}
        92:{1,4,5,7}:{(74,1),(76,1),(107,1)}
        93:{1,3,5,6}:{(75,1),(76,1),(107,1),(109,1),(130,1)}
        94:{1,2,5,7}:{(76,1),(77,1),(81,1),(109,1)}
        95:{1,2,3,6,7}:{(77,1),(82,1),(110,1),(130,1)}
        96:{1,3,4,6}:{(78,1),(79,1),(80,1),(87,1),(107,1),(111,1),(117,1),(130,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(111,1),(112,1),(114,1),(134,1)}
        98:{2,5,6}:{(80,1),(81,1),(111,1)}
        99:{2,3,5,7}:{(81,1),(82,1),(84,1),(113,1),(114,1)}
       100:{1,3,5,6}:{(83,1),(84,1),(85,1),(113,1),(115,1),(117,1),(130,1),(135,1),(139,1)}
       101:{1,3,4,7}:{(84,1),(86,1),(114,1),(115,1)}
       102:{2,3,4,6}:{(85,1),(86,1),(115,1),(116,1)}
       103:{1,2,4,6}:{(87,1),(88,1),(89,1),(111,1),(117,1)}
       104:{1,3,5,7}:{(88,1),(112,1),(117,1),(118,1),(135,1)}
       105:{1,2,3,5,6}:{(89,1),(90,1),(113,1),(117,1),(119,1),(135,1)}
       106:{1,2,4,7}:{(90,1),(114,1),(118,1),(119,1)}
       107:{1,4,6}:{(91,1),(92,1),(93,1)}
       108:{1,2,4,5,7}:{(92,1),(94,1),(97,1),(120,1),(121,1),(123,1),(137,1)}
       109:{1,2,5,6}:{(93,1),(94,1),(98,1),(120,1)}
       110:{1,2,3,5,7}:{(94,1),(95,1),(99,1),(121,1),(122,1),(123,1)}
       111:{2,4,6}:{(96,1),(97,1),(98,1),(124,1)}
       112:{2,3,5,7}:{(97,1),(104,1),(121,1),(124,1),(125,1),(138,1)}
       113:{2,3,5,6}:{(98,1),(99,1),(100,1),(124,1),(126,1),(138,1)}
       114:{2,4,7}:{(99,1),(101,1),(126,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(102,1),(126,1),(127,1)}
       116:{2,3,4,5}:{(102,1),(127,1),(138,1)}
       117:{1,3,6}:{(103,1),(104,1),(124,1)}
       118:{1,3,4,7}:{(104,1),(106,1),(125,1),(128,1)}
       119:{1,2,4,6}:{(105,1),(106,1),(126,1),(128,1),(129,1)}
       120:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(130,1)}
       121:{1,3,5,7}:{(108,1),(112,1),(130,1),(131,1),(139,1)}
       122:{1,2,3,5,6}:{(109,1),(110,1),(113,1),(130,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(114,1),(131,1),(132,1)}
       124:{2,3,6}:{(111,1),(112,1),(117,1),(130,1)}
       125:{2,3,4,7}:{(112,1),(114,1),(118,1),(131,1),(133,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(134,1)}
       127:{1,3,4,5}:{(115,1),(116,1),(134,1),(135,1),(139,1)}
       128:{1,3,4,6}:{(117,1),(118,1),(119,1),(133,1),(135,1)}
       129:{1,2,4,5}:{(119,1),(134,1),(135,1)}
       130:{1,3,6}:{(120,1),(121,1),(124,1)}
       131:{1,3,4,7}:{(121,1),(123,1),(125,1),(136,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(126,1),(136,1),(137,1)}
       133:{2,3,4,6}:{(124,1),(125,1),(126,1),(128,1),(136,1),(138,1)}
       134:{2,4,5}:{(126,1),(127,1),(138,1)}
       135:{1,3,5}:{(128,1),(129,1),(138,1)}
       136:{1,3,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       137:{1,2,4,5}:{(132,1),(134,1),(139,1)}
       138:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       139:{1,3,5}:{(136,1),(137,1),(138,1)}

3057 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3058 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(17,1),(36,1),(68,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(27,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(31,1),(68,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(47,1),(84,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(49,1),(56,1),(87,1),(102,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(41,1),(62,1),(74,1),(92,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(68,1),(70,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(48,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(47,1),(55,1),(84,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(84,1),(102,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(51,1)}
        19:{1,3,4,5,6,7}:{(30,1),(52,1),(61,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(74,1),(92,1),(98,1),(104,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(45,1),(70,1),(77,1),(95,1),(97,1),(103,1)}
        29:{2,3,4,5,6}:{(33,1),(42,1),(43,1),(91,1)}
        30:{2,4,5,6,7}:{(19,1),(44,1),(45,1),(70,1),(77,1)}
        31:{1,2,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(49,1),(53,1),(83,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(50,1),(51,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(51,1),(52,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(53,1)}
        36:{1,2,3,6,7}:{(23,1),(49,1),(54,1),(102,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(50,1),(53,1),(55,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(54,1),(55,1),(84,1),(86,1),(102,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(51,1),(55,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(52,1),(56,1),(102,1)}
        41:{2,3,4,5}:{(47,1),(57,1)}
        42:{1,3,4,5,6}:{(29,1),(50,1),(58,1),(59,1),(83,1)}
        43:{2,3,4,5,7}:{(29,1),(51,1),(59,1),(60,1),(100,1)}
        44:{2,3,5,6,7}:{(30,1),(60,1),(61,1)}
        45:{1,4,5,6,7}:{(30,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(33,1),(63,1),(64,1),(73,1)}
        47:{1,3,4,5}:{(31,1),(41,1),(62,1),(66,1)}
        48:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(96,1)}
        50:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        53:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        54:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        56:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(77,1),(98,1),(103,1),(104,1)}
        57:{2,3,4,6}:{(41,1),(66,1),(73,1),(74,1)}
        58:{2,4,5,6}:{(42,1),(73,1),(75,1)}
        59:{1,3,4,5,7}:{(42,1),(43,1),(69,1),(75,1),(76,1),(96,1)}
        60:{2,3,4,6,7}:{(43,1),(44,1),(70,1),(76,1),(104,1)}
        61:{1,3,5,6,7}:{(44,1),(45,1),(76,1),(77,1)}
        62:{2,3,4,5}:{(47,1),(78,1)}
        63:{1,3,4,5,6}:{(46,1),(50,1),(79,1),(80,1),(83,1)}
        64:{2,3,4,5,7}:{(46,1),(51,1),(80,1),(81,1),(88,1)}
        65:{1,3,4,5,6,7}:{(52,1),(82,1),(99,1)}
        66:{1,3,4,6}:{(47,1),(48,1),(57,1),(78,1),(83,1),(84,1)}
        67:{1,2,4,5,6}:{(48,1),(50,1),(53,1),(58,1),(79,1),(83,1),(85,1)}
        68:{1,2,4,7}:{(48,1),(49,1),(84,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(55,1),(86,1)}
        70:{2,4,6,7}:{(51,1),(52,1),(56,1),(86,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1)}
        72:{1,3,5,6,7}:{(55,1),(56,1),(86,1),(87,1),(102,1)}
        73:{2,3,5,6}:{(57,1),(58,1),(83,1),(88,1)}
        74:{2,3,4,7}:{(57,1),(84,1),(88,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,4,6,7}:{(59,1),(60,1),(61,1),(86,1),(89,1),(102,1)}
        77:{2,5,6,7}:{(61,1),(89,1)}
        78:{2,3,4,6}:{(62,1),(66,1),(91,1),(92,1)}
        79:{2,4,5,6}:{(63,1),(91,1),(93,1)}
        80:{1,3,4,5,7}:{(63,1),(64,1),(69,1),(93,1),(94,1),(96,1)}
        81:{2,3,4,6,7}:{(64,1),(70,1),(90,1),(94,1),(98,1)}
        82:{2,4,5,6,7}:{(65,1),(70,1),(90,1),(95,1),(103,1)}
        83:{1,3,5,6}:{(66,1),(67,1),(73,1),(91,1),(96,1)}
        84:{1,3,4,7}:{(66,1),(68,1),(74,1),(92,1),(96,1)}
        85:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(75,1),(93,1),(96,1),(97,1)}
        86:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        87:{1,2,5,6,7}:{(71,1),(72,1),(77,1),(97,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(75,1),(96,1),(98,1)}
        89:{2,4,6,7}:{(75,1),(76,1),(77,1),(98,1)}
        90:{2,3,5,6,7}:{(81,1),(82,1),(99,1)}
        91:{2,3,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{2,3,4,7}:{(78,1),(84,1),(100,1)}
        93:{2,4,5,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        95:{1,4,5,6,7}:{(82,1),(86,1),(99,1)}
        96:{1,3,5,7}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1)}
        97:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(89,1),(101,1),(102,1)}
        98:{2,3,6,7}:{(88,1),(89,1),(102,1)}
        99:{1,3,5,6,7}:{(90,1),(94,1),(95,1),(103,1)}
       100:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(104,1)}
       101:{2,4,6,7}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,3,6,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{2,5,6,7}:{(99,1),(101,1)}
       104:{2,3,6,7}:{(100,1),(101,1),(102,1)}

3059 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(16,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(31,1)}
         2:{1,2,3,5}:{(0,1),(6,1)}
         3:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(81,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{3,4,5,6,7}:{(14,1),(102,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,3,5,6}:{(2,1),(12,1),(16,1),(17,1),(38,1),(46,1)}
         8:{2,3,4,5}:{(15,1),(18,1)}
         9:{1,3,4,5,6}:{(3,1),(19,1),(20,1),(43,1),(46,1),(70,1)}
        10:{2,3,4,5,7}:{(3,1),(20,1),(21,1),(77,1),(92,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(31,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{2,3,4,5,7}:{(8,1),(22,1),(25,1),(33,1),(57,1)}
        14:{2,4,5,6,7}:{(5,1),(26,1),(27,1),(99,1)}
        15:{1,3,4,5}:{(6,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1)}
        17:{1,2,3,5,7}:{(7,1),(24,1),(31,1),(55,1),(64,1)}
        18:{2,3,4,6}:{(8,1),(29,1),(32,1),(33,1)}
        19:{2,4,5,6}:{(9,1),(32,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(34,1),(35,1),(59,1),(64,1),(83,1)}
        21:{2,3,4,6,7}:{(10,1),(26,1),(35,1),(88,1),(99,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(15,1),(36,1),(37,1),(47,1),(71,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(17,1),(39,1),(79,1)}
        25:{2,3,4,6}:{(13,1),(37,1),(40,1)}
        26:{2,3,5,6,7}:{(14,1),(21,1),(42,1)}
        27:{1,4,5,6,7}:{(14,1),(42,1),(44,1),(94,1)}
        28:{2,3,4,5}:{(15,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(18,1),(45,1),(46,1),(47,1)}
        30:{1,2,4,5,6}:{(16,1),(19,1),(38,1),(46,1),(48,1),(70,1),(76,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(47,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(46,1),(50,1)}
        33:{2,3,4,7}:{(18,1),(47,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,4,6,7}:{(20,1),(21,1),(42,1),(51,1),(75,1),(79,1),(94,1)}
        36:{2,3,4,5,7}:{(22,1),(28,1),(52,1),(62,1),(82,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(25,1),(52,1),(53,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(31,1),(54,1),(55,1)}
        40:{2,3,5,6}:{(25,1),(53,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(25,1),(33,1),(54,1),(57,1),(67,1),(85,1)}
        42:{1,3,5,6,7}:{(26,1),(27,1),(35,1),(58,1),(60,1)}
        43:{3,4,5,6}:{(56,1),(59,1)}
        44:{2,4,5,6,7}:{(27,1),(58,1),(60,1),(85,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(64,1)}
        47:{1,3,4,7}:{(29,1),(31,1),(33,1),(62,1),(64,1)}
        48:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(55,1),(64,1),(65,1),(83,1),(87,1)}
        49:{2,3,4,5,6}:{(32,1),(56,1),(63,1),(66,1)}
        50:{2,3,5,7}:{(32,1),(33,1),(34,1),(64,1),(67,1)}
        51:{2,4,6,7}:{(34,1),(35,1),(58,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(47,1),(69,1),(71,1),(79,1),(94,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{2,4,5,6}:{(40,1),(43,1),(70,1),(73,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(71,1),(73,1)}
        58:{2,5,6,7}:{(42,1),(51,1)}
        59:{3,4,5,7}:{(43,1),(73,1),(75,1)}
        60:{3,5,6,7}:{(44,1),(75,1)}
        61:{2,3,5,6}:{(45,1),(46,1),(76,1),(77,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(77,1)}
        63:{1,3,4,5,6}:{(46,1),(49,1),(70,1),(76,1),(78,1),(91,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        65:{1,2,4,6,7}:{(48,1),(51,1),(72,1),(79,1),(94,1),(96,1)}
        66:{2,3,4,5,7}:{(49,1),(50,1),(73,1),(78,1),(80,1)}
        67:{2,3,6,7}:{(50,1),(51,1),(79,1)}
        68:{2,3,5,6}:{(52,1),(53,1),(81,1),(82,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(62,1),(82,1),(88,1),(99,1)}
        70:{1,4,5,6}:{(53,1),(56,1),(81,1),(83,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(57,1),(82,1),(83,1)}
        72:{1,2,5,6,7}:{(55,1),(58,1),(65,1),(84,1),(101,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(59,1),(83,1),(85,1)}
        74:{2,3,5,6,7}:{(57,1),(58,1),(60,1),(67,1),(84,1),(85,1)}
        75:{3,4,6,7}:{(59,1),(60,1),(85,1)}
        76:{2,4,5,6}:{(61,1),(63,1),(87,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(87,1),(88,1)}
        78:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(83,1),(87,1),(89,1),(98,1)}
        79:{1,3,6,7}:{(64,1),(65,1),(67,1),(88,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(85,1),(89,1),(90,1)}
        81:{2,4,5,6}:{(68,1),(70,1),(91,1),(92,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(92,1)}
        83:{1,4,5,7}:{(70,1),(71,1),(73,1),(92,1),(94,1)}
        84:{1,3,5,6,7}:{(71,1),(72,1),(74,1),(79,1),(93,1),(94,1)}
        85:{2,4,6,7}:{(73,1),(74,1),(75,1),(94,1)}
        86:{3,4,5,6,7}:{(75,1),(95,1)}
        87:{2,4,5,7}:{(76,1),(77,1),(78,1),(96,1)}
        88:{2,3,6,7}:{(77,1),(79,1),(96,1)}
        89:{1,3,4,6,7}:{(78,1),(79,1),(80,1),(94,1),(96,1),(97,1),(102,1)}
        90:{2,3,5,6,7}:{(80,1),(95,1),(97,1)}
        91:{3,4,5,6}:{(81,1),(98,1)}
        92:{2,4,5,7}:{(81,1),(82,1),(83,1),(98,1),(99,1)}
        93:{2,3,5,6,7}:{(82,1),(84,1),(88,1),(99,1),(101,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(90,1),(100,1)}
        96:{2,4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{1,3,5,6,7}:{(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{3,4,5,7}:{(91,1),(92,1),(102,1)}
        99:{2,4,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       100:{1,4,5,6,7}:{(94,1),(95,1),(97,1),(103,1)}
       101:{2,5,6,7}:{(96,1),(97,1)}
       102:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       103:{2,4,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3060 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(22,1),(72,1),(117,1),(142,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(30,1),(94,1)}
         2:{1,2,3,4,6,7}:{(5,1),(16,1),(39,1),(44,1),(89,1),(126,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(114,1),(142,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(18,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(53,1),(64,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(30,1),(128,1),(146,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,2,3,5,6,7}:{(4,1),(14,1),(30,1),(63,1),(131,1),(133,1),(145,1)}
         9:{1,2,4,5,7}:{(5,1),(15,1),(16,1),(86,1),(126,1)}
        10:{1,2,3,5,6}:{(5,1),(16,1),(35,1)}
        11:{1,2,4,5,6}:{(7,1),(18,1),(19,1),(41,1)}
        12:{2,3,4,5,7}:{(6,1),(20,1),(21,1),(46,1),(119,1),(144,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(18,1),(21,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(19,1),(22,1),(82,1),(142,1)}
        15:{1,3,4,5,7}:{(9,1),(24,1),(25,1),(53,1),(104,1),(138,1)}
        16:{1,2,4,6}:{(9,1),(10,1),(25,1)}
        17:{1,2,3,5,6,7}:{(10,1),(26,1),(53,1),(93,1),(107,1),(109,1),(137,1)}
        18:{1,3,5,6}:{(11,1),(13,1),(29,1),(30,1)}
        19:{1,2,4,5,7}:{(11,1),(14,1),(30,1),(62,1)}
        20:{1,3,4,5,7}:{(12,1),(32,1),(33,1),(66,1),(104,1),(138,1)}
        21:{2,3,4,6}:{(12,1),(13,1),(29,1),(33,1)}
        22:{1,3,4,6,7}:{(13,1),(14,1),(30,1),(34,1),(145,1),(146,1)}
        23:{1,2,4,5,6}:{(16,1),(35,1),(36,1),(69,1)}
        24:{2,3,4,5,7}:{(15,1),(37,1),(38,1),(74,1),(119,1),(144,1)}
        25:{1,3,4,6}:{(15,1),(16,1),(35,1),(38,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(39,1),(110,1),(126,1)}
        27:{1,3,4,5,6}:{(18,1),(41,1),(42,1)}
        28:{1,2,4,5,6,7}:{(19,1),(43,1),(81,1),(82,1),(122,1),(139,1)}
        29:{2,3,5,6}:{(18,1),(21,1),(41,1),(45,1),(46,1)}
        30:{1,3,5,7}:{(18,1),(19,1),(22,1),(46,1)}
        31:{1,2,3,4,7}:{(44,1),(47,1),(126,1)}
        32:{1,2,4,5,7}:{(20,1),(47,1),(48,1),(86,1),(88,1),(126,1)}
        33:{1,3,4,6}:{(20,1),(21,1),(45,1),(48,1)}
        34:{2,3,4,6,7}:{(21,1),(22,1),(46,1),(49,1),(82,1),(143,1),(144,1)}
        35:{1,3,5,6}:{(23,1),(25,1),(52,1),(53,1)}
        36:{1,2,4,5,7}:{(23,1),(26,1),(53,1),(92,1)}
        37:{1,3,4,5,7}:{(24,1),(55,1),(56,1),(96,1),(128,1),(146,1)}
        38:{2,3,4,6}:{(24,1),(25,1),(52,1),(56,1)}
        39:{1,3,4,6,7}:{(25,1),(26,1),(53,1),(57,1),(137,1),(138,1)}
        40:{1,3,4,5,6,7}:{(59,1),(60,1),(90,1),(102,1)}
        41:{2,4,5,6}:{(27,1),(29,1),(61,1),(62,1)}
        42:{1,3,4,5,7}:{(27,1),(30,1),(60,1),(62,1)}
        43:{1,3,5,6,7}:{(28,1),(30,1),(60,1),(63,1),(145,1)}
        44:{1,2,3,4,6}:{(31,1),(64,1),(67,1),(108,1)}
        45:{1,3,5,6}:{(29,1),(33,1),(61,1),(65,1),(66,1)}
        46:{2,3,5,7}:{(29,1),(30,1),(34,1),(62,1),(66,1)}
        47:{1,2,3,5,7}:{(31,1),(32,1),(64,1),(67,1)}
        48:{1,2,4,6}:{(32,1),(33,1),(65,1),(67,1)}
        49:{1,3,4,6,7}:{(33,1),(34,1),(66,1),(68,1),(103,1),(137,1),(138,1)}
        50:{1,3,4,5,6}:{(35,1),(69,1),(70,1)}
        51:{1,2,4,5,6,7}:{(36,1),(71,1),(81,1),(110,1),(122,1),(123,1)}
        52:{2,3,5,6}:{(35,1),(38,1),(69,1),(73,1),(74,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(39,1),(74,1)}
        54:{1,2,3,4,7}:{(72,1),(75,1),(142,1)}
        55:{1,2,4,5,7}:{(37,1),(75,1),(76,1),(114,1),(116,1),(142,1)}
        56:{1,3,4,6}:{(37,1),(38,1),(73,1),(76,1)}
        57:{2,3,4,6,7}:{(38,1),(39,1),(74,1),(77,1),(110,1),(143,1),(144,1)}
        58:{2,3,4,5,6}:{(41,1),(69,1),(78,1),(79,1),(120,1)}
        59:{2,4,5,6,7}:{(40,1),(80,1),(81,1),(82,1),(110,1),(122,1)}
        60:{1,3,4,6,7}:{(42,1),(43,1),(82,1)}
        61:{1,4,5,6}:{(41,1),(45,1),(84,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(46,1),(82,1),(84,1)}
        63:{2,3,5,6,7}:{(43,1),(46,1),(82,1),(85,1),(122,1),(143,1)}
        64:{1,2,3,5}:{(44,1),(86,1)}
        65:{1,2,5,6}:{(45,1),(48,1),(88,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(84,1),(88,1)}
        67:{1,2,3,6}:{(47,1),(48,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(88,1),(89,1),(126,1)}
        69:{2,4,5,6}:{(50,1),(52,1),(91,1),(92,1)}
        70:{1,3,4,5,7}:{(50,1),(53,1),(90,1),(92,1)}
        71:{1,3,5,6,7}:{(51,1),(53,1),(90,1),(93,1),(137,1)}
        72:{1,2,3,4,6}:{(54,1),(94,1),(97,1),(132,1)}
        73:{1,3,5,6}:{(52,1),(56,1),(91,1),(95,1),(96,1)}
        74:{2,3,5,7}:{(52,1),(53,1),(57,1),(92,1),(96,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(94,1),(97,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(95,1),(97,1)}
        77:{1,3,4,6,7}:{(56,1),(57,1),(96,1),(98,1),(127,1),(145,1),(146,1)}
        78:{1,3,4,5,6}:{(58,1),(61,1),(91,1),(100,1),(101,1),(105,1),(129,1)}
        79:{2,3,4,5,7}:{(58,1),(62,1),(92,1),(99,1),(101,1),(136,1)}
        80:{2,3,5,6,7}:{(59,1),(99,1),(102,1)}
        81:{1,4,5,6,7}:{(59,1),(102,1),(103,1),(127,1)}
        82:{2,4,6,7}:{(60,1),(62,1),(63,1),(103,1)}
        83:{1,2,4,5,6}:{(61,1),(65,1),(100,1),(105,1),(106,1),(108,1)}
        84:{1,4,5,7}:{(61,1),(62,1),(66,1),(103,1)}
        85:{1,3,5,6,7}:{(63,1),(66,1),(103,1),(107,1),(137,1)}
        86:{1,2,4,5}:{(64,1),(104,1),(108,1)}
        87:{1,2,3,5,6}:{(64,1),(65,1),(67,1),(105,1),(108,1),(109,1)}
        88:{1,2,5,7}:{(65,1),(66,1),(68,1)}
        89:{1,2,3,6,7}:{(67,1),(68,1),(109,1),(137,1)}
        90:{1,3,4,6,7}:{(70,1),(71,1),(110,1)}
        91:{1,4,5,6}:{(69,1),(73,1),(112,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(74,1),(110,1),(112,1)}
        93:{2,3,5,6,7}:{(71,1),(74,1),(110,1),(113,1),(122,1),(143,1)}
        94:{1,2,3,5}:{(72,1),(114,1)}
        95:{1,2,5,6}:{(73,1),(76,1),(116,1)}
        96:{1,3,5,7}:{(73,1),(74,1),(77,1),(112,1),(116,1)}
        97:{1,2,3,6}:{(75,1),(76,1)}
        98:{1,2,4,6,7}:{(76,1),(77,1),(116,1),(117,1),(142,1)}
        99:{2,3,4,6,7}:{(79,1),(80,1),(82,1),(110,1),(118,1),(143,1)}
       100:{2,4,5,6}:{(78,1),(120,1),(121,1)}
       101:{1,3,4,5,7}:{(78,1),(79,1),(84,1),(112,1),(118,1),(121,1),(125,1),(141,1)}
       102:{1,3,5,6,7}:{(80,1),(81,1),(118,1),(122,1)}
       103:{1,4,6,7}:{(82,1),(84,1),(85,1)}
       104:{1,3,4,5}:{(86,1),(119,1),(124,1)}
       105:{1,3,5,6}:{(83,1),(120,1),(124,1),(125,1)}
       106:{1,2,4,5,7}:{(83,1),(84,1),(88,1),(121,1),(123,1),(125,1),(126,1)}
       107:{1,2,5,6,7}:{(85,1),(88,1),(122,1),(123,1)}
       108:{1,2,4,6}:{(86,1),(87,1),(124,1),(126,1)}
       109:{1,2,3,5,7}:{(87,1),(88,1),(89,1),(125,1),(126,1)}
       110:{2,4,6,7}:{(90,1),(92,1),(93,1),(127,1)}
       111:{1,2,4,5,6}:{(91,1),(95,1),(100,1),(129,1),(130,1),(132,1)}
       112:{1,4,5,7}:{(91,1),(92,1),(96,1),(127,1)}
       113:{1,3,5,6,7}:{(93,1),(96,1),(127,1),(131,1),(145,1)}
       114:{1,2,4,5}:{(94,1),(128,1),(132,1)}
       115:{1,2,3,5,6}:{(94,1),(95,1),(97,1),(129,1),(132,1),(133,1)}
       116:{1,2,5,7}:{(95,1),(96,1),(98,1)}
       117:{1,2,3,6,7}:{(97,1),(98,1),(133,1),(145,1)}
       118:{1,3,4,6,7}:{(99,1),(101,1),(102,1),(103,1),(127,1),(134,1),(137,1),(145,1)}
       119:{2,3,4,5}:{(104,1),(128,1),(135,1)}
       120:{2,3,5,6}:{(100,1),(105,1),(129,1),(135,1),(136,1)}
       121:{2,4,5,7}:{(100,1),(101,1),(134,1),(136,1)}
       122:{2,5,6,7}:{(102,1),(134,1)}
       123:{1,2,4,6,7}:{(103,1),(106,1),(107,1),(134,1),(137,1)}
       124:{1,3,4,6}:{(104,1),(105,1),(108,1),(135,1),(138,1)}
       125:{1,3,5,7}:{(105,1),(106,1),(136,1),(137,1),(138,1)}
       126:{1,2,4,7}:{(108,1),(109,1),(138,1)}
       127:{1,4,6,7}:{(110,1),(112,1),(113,1)}
       128:{1,3,4,5}:{(114,1),(119,1),(140,1)}
       129:{1,3,5,6}:{(111,1),(120,1),(140,1),(141,1)}
       130:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(121,1),(139,1),(141,1),(142,1)}
       131:{1,2,5,6,7}:{(113,1),(116,1),(122,1),(139,1)}
       132:{1,2,4,6}:{(114,1),(115,1),(140,1),(142,1)}
       133:{1,2,3,5,7}:{(115,1),(116,1),(117,1),(141,1),(142,1)}
       134:{2,4,6,7}:{(118,1),(121,1),(122,1),(143,1)}
       135:{2,3,4,6}:{(119,1),(120,1),(124,1),(140,1),(144,1)}
       136:{2,3,5,7}:{(120,1),(121,1),(125,1),(141,1),(143,1),(144,1)}
       137:{1,3,6,7}:{(123,1),(125,1),(143,1)}
       138:{1,3,4,7}:{(124,1),(125,1),(126,1),(144,1)}
       139:{1,2,4,6,7}:{(127,1),(130,1),(131,1),(134,1),(145,1)}
       140:{1,3,4,6}:{(128,1),(129,1),(132,1),(135,1),(146,1)}
       141:{1,3,5,7}:{(129,1),(130,1),(136,1),(145,1),(146,1)}
       142:{1,2,4,7}:{(132,1),(133,1),(146,1)}
       143:{2,3,6,7}:{(134,1),(136,1),(137,1),(145,1)}
       144:{2,3,4,7}:{(135,1),(136,1),(138,1),(146,1)}
       145:{1,3,6,7}:{(139,1),(141,1),(143,1)}
       146:{1,3,4,7}:{(140,1),(141,1),(142,1),(144,1)}

3061 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(38,1),(40,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(48,1)}
         8:{1,2,3,5}:{(3,1),(16,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(52,1),(83,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(58,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(18,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(58,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        16:{1,2,4,5}:{(8,1),(29,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(64,1)}
        18:{2,3,4,5}:{(12,1),(29,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(40,1),(64,1),(73,1),(89,1),(93,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(71,1),(95,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(32,1),(37,1),(41,1),(74,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(37,1),(38,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(39,1),(76,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(33,1),(40,1),(41,1)}
        25:{1,2,4,5,6}:{(13,1),(34,1),(38,1),(40,1),(42,1),(73,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(44,1),(48,1),(79,1)}
        28:{1,2,3,6}:{(15,1),(44,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        31:{1,2,3,5,7}:{(17,1),(45,1),(48,1),(79,1),(80,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(50,1),(53,1),(84,1)}
        33:{2,3,4,6}:{(18,1),(24,1),(46,1),(52,1),(53,1)}
        34:{2,4,5,6}:{(19,1),(52,1),(54,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(55,1),(59,1),(80,1),(87,1),(98,1),(100,1)}
        36:{2,3,4,6,7}:{(20,1),(51,1),(55,1),(86,1),(102,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(50,1),(56,1)}
        38:{1,2,5,6}:{(22,1),(56,1),(58,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(57,1),(58,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(52,1),(59,1)}
        41:{1,3,4,7}:{(24,1),(26,1),(53,1),(59,1)}
        42:{1,2,4,5,7}:{(25,1),(26,1),(54,1),(58,1),(59,1),(60,1),(87,1)}
        43:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(61,1),(65,1),(90,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,2,3,6,7}:{(28,1),(31,1),(63,1),(92,1)}
        46:{1,3,4,6}:{(29,1),(30,1),(33,1),(64,1),(65,1)}
        47:{1,2,4,5,6}:{(30,1),(34,1),(62,1),(64,1),(66,1),(89,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        49:{3,4,5,6,7}:{(67,1),(104,1)}
        50:{2,3,4,6}:{(32,1),(37,1),(61,1),(68,1)}
        51:{2,3,5,6,7}:{(36,1),(67,1),(70,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(40,1),(64,1),(71,1)}
        53:{2,3,4,7}:{(33,1),(41,1),(65,1),(71,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(71,1),(72,1)}
        55:{1,3,4,6,7}:{(35,1),(36,1),(70,1),(72,1),(76,1),(92,1),(97,1),(103,1),(104,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(68,1),(73,1),(74,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(69,1),(74,1),(76,1),(97,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(76,1)}
        60:{1,2,4,6,7}:{(42,1),(72,1),(75,1),(76,1),(97,1)}
        61:{1,3,4,6}:{(43,1),(44,1),(50,1),(77,1)}
        62:{1,2,5,6}:{(44,1),(77,1),(79,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(78,1),(79,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(52,1),(80,1)}
        65:{1,3,4,7}:{(46,1),(48,1),(53,1),(80,1)}
        66:{1,2,4,5,7}:{(47,1),(48,1),(54,1),(79,1),(80,1),(81,1),(98,1)}
        67:{2,4,5,6,7}:{(49,1),(51,1),(82,1),(102,1)}
        68:{2,3,5,6}:{(50,1),(56,1),(77,1),(83,1),(84,1)}
        69:{2,3,4,6,7}:{(50,1),(53,1),(57,1),(78,1),(84,1),(86,1),(102,1)}
        70:{1,3,5,6,7}:{(51,1),(55,1),(82,1),(85,1),(101,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(54,1),(59,1),(80,1),(86,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(85,1),(86,1)}
        73:{1,4,5,6}:{(56,1),(83,1),(87,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(58,1),(84,1),(87,1)}
        75:{1,2,5,6,7}:{(58,1),(60,1),(85,1),(88,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(86,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(68,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(90,1),(92,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(66,1),(71,1),(92,1)}
        81:{1,2,4,6,7}:{(66,1),(72,1),(91,1),(92,1),(103,1)}
        82:{1,4,5,6,7}:{(67,1),(70,1),(94,1),(97,1),(103,1)}
        83:{2,4,5,6}:{(68,1),(73,1),(89,1),(93,1),(95,1)}
        84:{2,3,5,7}:{(68,1),(69,1),(74,1),(90,1),(95,1)}
        85:{2,5,6,7}:{(70,1),(72,1)}
        86:{2,3,6,7}:{(71,1),(72,1),(76,1),(92,1)}
        87:{1,4,5,7}:{(73,1),(74,1),(95,1),(97,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(76,1),(96,1),(97,1)}
        89:{1,4,5,6}:{(77,1),(83,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(98,1)}
        91:{1,2,5,6,7}:{(79,1),(81,1),(85,1),(99,1)}
        92:{1,3,6,7}:{(80,1),(81,1),(86,1)}
        93:{3,4,5,6}:{(83,1),(100,1)}
        94:{2,4,5,6,7}:{(82,1),(85,1),(101,1),(102,1)}
        95:{2,4,5,7}:{(83,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        96:{2,3,5,6,7}:{(84,1),(85,1),(86,1),(88,1),(99,1),(101,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(95,1),(103,1)}
        99:{1,3,5,6,7}:{(90,1),(91,1),(92,1),(96,1),(103,1)}
       100:{3,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{3,5,6,7}:{(94,1),(104,1)}
       102:{2,4,6,7}:{(95,1),(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(102,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

3062 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(23,1),(120,1),(121,1),(141,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(35,1),(134,1)}
         2:{1,2,3,4,6,7}:{(5,1),(17,1),(43,1),(95,1),(96,1),(127,1)}
         3:{1,2,3,5,6}:{(1,1),(7,1),(22,1)}
         4:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(141,1),(142,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(60,1),(114,1)}
         6:{1,2,3,5,6,7}:{(3,1),(13,1),(34,1),(35,1),(100,1),(131,1),(132,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1)}
         8:{1,3,4,5,7}:{(4,1),(14,1),(15,1),(35,1),(145,1),(146,1)}
         9:{1,2,3,5,6}:{(5,1),(17,1),(42,1)}
        10:{1,2,4,5,7}:{(5,1),(17,1),(18,1),(127,1),(128,1)}
        11:{1,2,4,5,6,7}:{(20,1),(21,1),(47,1),(50,1),(89,1),(117,1)}
        12:{1,2,4,5,6}:{(7,1),(21,1),(22,1),(49,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(23,1),(50,1),(141,1)}
        14:{1,3,4,6}:{(7,1),(8,1),(22,1),(24,1)}
        15:{2,3,4,5,7}:{(8,1),(24,1),(25,1),(52,1),(143,1),(144,1)}
        16:{1,2,3,5,6,7}:{(9,1),(28,1),(59,1),(60,1),(71,1),(111,1),(112,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(29,1)}
        18:{1,3,4,5,7}:{(10,1),(29,1),(30,1),(60,1),(137,1),(138,1)}
        19:{1,3,4,5,6,7}:{(31,1),(33,1),(58,1),(67,1)}
        20:{1,3,5,6,7}:{(11,1),(33,1),(34,1),(35,1),(131,1)}
        21:{1,2,4,5,7}:{(12,1),(13,1),(35,1),(68,1)}
        22:{1,3,5,6}:{(12,1),(14,1),(35,1),(36,1)}
        23:{1,3,4,6,7}:{(13,1),(14,1),(35,1),(37,1),(131,1),(145,1)}
        24:{2,3,4,6}:{(14,1),(15,1),(36,1),(38,1)}
        25:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(72,1),(137,1),(138,1)}
        26:{1,2,4,5,6,7}:{(40,1),(41,1),(47,1),(79,1),(89,1),(92,1)}
        27:{1,2,4,5,6}:{(17,1),(41,1),(42,1),(78,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(41,1),(43,1),(79,1),(127,1)}
        29:{1,3,4,6}:{(17,1),(18,1),(42,1),(44,1)}
        30:{2,3,4,5,7}:{(18,1),(44,1),(45,1),(81,1),(143,1),(144,1)}
        31:{2,4,5,6,7}:{(19,1),(46,1),(47,1),(50,1),(79,1),(89,1)}
        32:{1,3,4,5,6}:{(22,1),(48,1),(49,1)}
        33:{1,3,4,6,7}:{(20,1),(48,1),(50,1)}
        34:{2,3,5,6,7}:{(20,1),(50,1),(51,1),(52,1),(89,1),(124,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(23,1),(52,1)}
        36:{2,3,5,6}:{(22,1),(24,1),(49,1),(52,1),(53,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(50,1),(52,1),(54,1),(124,1),(143,1)}
        38:{1,3,4,6}:{(24,1),(25,1),(53,1),(55,1)}
        39:{1,2,4,5,7}:{(25,1),(55,1),(56,1),(93,1),(127,1),(128,1)}
        40:{1,3,5,6,7}:{(26,1),(58,1),(59,1),(60,1),(111,1)}
        41:{1,2,4,5,7}:{(27,1),(28,1),(60,1),(97,1)}
        42:{1,3,5,6}:{(27,1),(29,1),(60,1),(61,1)}
        43:{1,3,4,6,7}:{(28,1),(29,1),(60,1),(62,1),(111,1),(137,1)}
        44:{2,3,4,6}:{(29,1),(30,1),(61,1),(63,1)}
        45:{1,3,4,5,7}:{(30,1),(63,1),(64,1),(101,1),(145,1),(146,1)}
        46:{2,3,5,6,7}:{(31,1),(66,1),(67,1)}
        47:{1,4,5,6,7}:{(31,1),(67,1),(70,1),(99,1)}
        48:{1,3,4,5,7}:{(32,1),(33,1),(35,1),(68,1)}
        49:{2,4,5,6}:{(32,1),(36,1),(68,1),(69,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(68,1),(70,1)}
        51:{1,3,5,6,7}:{(34,1),(70,1),(71,1),(72,1),(111,1)}
        52:{2,3,5,7}:{(35,1),(36,1),(37,1),(68,1),(72,1)}
        53:{1,3,5,6}:{(36,1),(38,1),(69,1),(72,1),(73,1)}
        54:{1,3,4,6,7}:{(37,1),(38,1),(70,1),(72,1),(74,1),(111,1),(137,1)}
        55:{1,2,4,6}:{(38,1),(39,1),(73,1),(75,1)}
        56:{1,2,3,5,7}:{(39,1),(75,1),(76,1),(114,1)}
        57:{1,3,4,5,6}:{(42,1),(77,1),(78,1)}
        58:{1,3,4,6,7}:{(40,1),(77,1),(79,1)}
        59:{2,3,5,6,7}:{(40,1),(79,1),(80,1),(81,1),(89,1),(124,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(43,1),(81,1)}
        61:{2,3,5,6}:{(42,1),(44,1),(78,1),(81,1),(82,1)}
        62:{2,3,4,6,7}:{(43,1),(44,1),(79,1),(81,1),(83,1),(124,1),(143,1)}
        63:{1,3,4,6}:{(44,1),(45,1),(82,1),(84,1)}
        64:{1,2,4,5,7}:{(45,1),(84,1),(85,1),(118,1),(141,1),(142,1)}
        65:{2,3,4,5,6}:{(49,1),(78,1),(86,1),(87,1),(123,1)}
        66:{2,3,4,6,7}:{(46,1),(50,1),(79,1),(86,1),(88,1),(124,1)}
        67:{1,3,5,6,7}:{(46,1),(47,1),(88,1),(89,1)}
        68:{2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(90,1)}
        69:{1,4,5,6}:{(49,1),(53,1),(90,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(90,1)}
        71:{1,2,5,6,7}:{(51,1),(89,1),(92,1),(93,1)}
        72:{1,3,5,7}:{(52,1),(53,1),(54,1),(90,1),(93,1)}
        73:{1,2,5,6}:{(53,1),(55,1),(93,1)}
        74:{1,2,4,6,7}:{(54,1),(55,1),(93,1),(95,1),(127,1)}
        75:{1,2,3,6}:{(55,1),(56,1)}
        76:{1,2,3,4,7}:{(56,1),(96,1),(127,1)}
        77:{1,3,4,5,7}:{(57,1),(58,1),(60,1),(97,1)}
        78:{2,4,5,6}:{(57,1),(61,1),(97,1),(98,1)}
        79:{2,4,6,7}:{(58,1),(59,1),(97,1),(99,1)}
        80:{1,3,5,6,7}:{(59,1),(99,1),(100,1),(101,1),(131,1)}
        81:{2,3,5,7}:{(60,1),(61,1),(62,1),(97,1),(101,1)}
        82:{1,3,5,6}:{(61,1),(63,1),(98,1),(101,1),(102,1)}
        83:{1,3,4,6,7}:{(62,1),(63,1),(99,1),(101,1),(103,1),(131,1),(145,1)}
        84:{1,2,4,6}:{(63,1),(64,1),(102,1),(104,1)}
        85:{1,2,3,5,7}:{(64,1),(104,1),(105,1),(134,1)}
        86:{2,3,4,5,7}:{(65,1),(66,1),(68,1),(97,1),(106,1),(135,1)}
        87:{1,3,4,5,6}:{(65,1),(69,1),(98,1),(106,1),(107,1),(110,1),(130,1)}
        88:{1,3,4,6,7}:{(66,1),(67,1),(70,1),(99,1),(106,1),(108,1),(111,1),(131,1)}
        89:{2,5,6,7}:{(67,1),(108,1)}
        90:{1,4,5,7}:{(68,1),(69,1),(70,1),(72,1)}
        91:{1,2,4,5,6}:{(69,1),(73,1),(107,1),(109,1),(110,1),(113,1)}
        92:{1,2,4,6,7}:{(70,1),(71,1),(108,1),(109,1),(111,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1)}
        94:{1,2,3,5,6}:{(73,1),(75,1),(110,1),(112,1),(113,1),(114,1)}
        95:{1,2,3,6,7}:{(74,1),(75,1),(111,1),(112,1)}
        96:{1,2,3,4,6}:{(75,1),(76,1),(113,1),(114,1)}
        97:{2,4,5,7}:{(77,1),(78,1),(79,1),(81,1),(115,1)}
        98:{1,4,5,6}:{(78,1),(82,1),(115,1)}
        99:{1,4,6,7}:{(79,1),(80,1),(115,1)}
       100:{1,2,5,6,7}:{(80,1),(89,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(83,1),(115,1),(118,1)}
       102:{1,2,5,6}:{(82,1),(84,1),(118,1)}
       103:{1,2,4,6,7}:{(83,1),(84,1),(118,1),(120,1),(141,1)}
       104:{1,2,3,6}:{(84,1),(85,1)}
       105:{1,2,3,4,7}:{(85,1),(121,1),(141,1)}
       106:{1,3,4,5,7}:{(86,1),(87,1),(88,1),(90,1),(115,1),(122,1),(125,1),(139,1)}
       107:{2,4,5,6}:{(87,1),(122,1),(123,1)}
       108:{2,4,6,7}:{(88,1),(89,1),(122,1),(124,1)}
       109:{1,2,4,5,7}:{(90,1),(91,1),(92,1),(93,1),(122,1),(125,1),(127,1)}
       110:{1,3,5,6}:{(91,1),(123,1),(125,1),(126,1)}
       111:{1,3,6,7}:{(92,1),(124,1),(125,1)}
       112:{1,2,3,5,7}:{(93,1),(94,1),(95,1),(125,1),(127,1)}
       113:{1,2,4,6}:{(94,1),(126,1),(127,1),(128,1)}
       114:{1,2,3,5}:{(96,1),(128,1)}
       115:{1,4,5,7}:{(97,1),(98,1),(99,1),(101,1)}
       116:{1,2,4,5,6}:{(98,1),(102,1),(107,1),(129,1),(130,1),(133,1)}
       117:{1,2,4,6,7}:{(99,1),(100,1),(108,1),(129,1),(131,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1)}
       119:{1,2,3,5,6}:{(102,1),(104,1),(130,1),(132,1),(133,1),(134,1)}
       120:{1,2,3,6,7}:{(103,1),(104,1),(131,1),(132,1)}
       121:{1,2,3,4,6}:{(104,1),(105,1),(133,1),(134,1)}
       122:{2,4,5,7}:{(106,1),(107,1),(108,1),(135,1)}
       123:{2,3,5,6}:{(107,1),(110,1),(130,1),(135,1),(136,1)}
       124:{2,3,6,7}:{(108,1),(111,1),(131,1),(135,1)}
       125:{1,3,5,7}:{(109,1),(110,1),(111,1),(135,1),(137,1)}
       126:{1,3,4,6}:{(110,1),(113,1),(136,1),(137,1),(138,1)}
       127:{1,2,4,7}:{(112,1),(113,1),(137,1)}
       128:{1,2,4,5}:{(113,1),(114,1),(138,1)}
       129:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(118,1),(122,1),(139,1),(141,1)}
       130:{1,3,5,6}:{(116,1),(123,1),(139,1),(140,1)}
       131:{1,3,6,7}:{(117,1),(124,1),(139,1)}
       132:{1,2,3,5,7}:{(118,1),(119,1),(120,1),(139,1),(141,1)}
       133:{1,2,4,6}:{(119,1),(140,1),(141,1),(142,1)}
       134:{1,2,3,5}:{(121,1),(142,1)}
       135:{2,3,5,7}:{(122,1),(123,1),(124,1),(125,1),(139,1),(143,1)}
       136:{2,3,4,6}:{(123,1),(126,1),(140,1),(143,1),(144,1)}
       137:{1,3,4,7}:{(125,1),(126,1),(127,1),(143,1)}
       138:{1,3,4,5}:{(126,1),(128,1),(144,1)}
       139:{1,3,5,7}:{(129,1),(130,1),(131,1),(135,1),(145,1)}
       140:{1,3,4,6}:{(130,1),(133,1),(136,1),(145,1),(146,1)}
       141:{1,2,4,7}:{(132,1),(133,1),(145,1)}
       142:{1,2,4,5}:{(133,1),(134,1),(146,1)}
       143:{2,3,4,7}:{(135,1),(136,1),(137,1),(145,1)}
       144:{2,3,4,5}:{(136,1),(138,1),(146,1)}
       145:{1,3,4,7}:{(139,1),(140,1),(141,1),(143,1)}
       146:{1,3,4,5}:{(140,1),(142,1),(144,1)}

3063 :   0:{1,2,3,4,6}:{(2,1),(3,1),(20,1),(21,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(31,1),(93,1)}
         2:{1,2,3,4,7}:{(0,1),(8,1),(39,1)}
         3:{1,2,3,5}:{(0,1),(9,1)}
         4:{1,2,3,4,6}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5,6}:{(1,1),(14,1),(15,1),(17,1),(41,1),(85,1),(97,1),(100,1)}
         6:{2,3,4,5,7}:{(1,1),(13,1),(15,1),(52,1),(102,1)}
         7:{1,2,4,5,6}:{(14,1),(17,1),(18,1),(21,1),(57,1),(85,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1)}
         9:{1,2,4,5}:{(3,1),(16,1),(21,1)}
        10:{1,2,3,5,6}:{(3,1),(17,1),(20,1),(21,1),(22,1),(57,1)}
        11:{1,2,3,4,7}:{(4,1),(24,1),(65,1)}
        12:{1,2,3,5}:{(4,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(28,1),(29,1),(69,1),(94,1)}
        14:{2,4,5,6}:{(5,1),(31,1),(32,1)}
        15:{1,3,4,5,7}:{(5,1),(6,1),(29,1),(32,1),(36,1),(62,1),(96,1),(103,1),(104,1)}
        16:{1,3,4,5}:{(9,1),(30,1),(35,1)}
        17:{1,3,5,6}:{(7,1),(31,1),(35,1),(36,1)}
        18:{1,2,4,5,7}:{(7,1),(32,1),(34,1),(36,1),(39,1),(74,1),(96,1)}
        19:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(37,1),(39,1),(74,1)}
        20:{1,2,3,6}:{(8,1),(37,1)}
        21:{1,2,4,6}:{(9,1),(10,1),(35,1),(39,1)}
        22:{1,2,3,5,7}:{(10,1),(36,1),(38,1),(39,1),(74,1)}
        23:{1,2,4,5,6}:{(14,1),(41,1),(42,1),(45,1),(79,1),(97,1)}
        24:{1,2,3,5,7}:{(11,1),(12,1),(43,1),(44,1)}
        25:{1,2,4,5}:{(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(79,1)}
        27:{3,4,5,6,7}:{(47,1),(101,1)}
        28:{2,3,5,6,7}:{(13,1),(47,1),(48,1)}
        29:{1,3,4,6,7}:{(13,1),(15,1),(48,1),(50,1),(55,1),(77,1),(86,1),(98,1),(101,1)}
        30:{2,3,4,5}:{(16,1),(40,1),(51,1)}
        31:{2,3,5,6}:{(14,1),(17,1),(41,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(50,1),(52,1)}
        33:{1,3,4,5,7}:{(16,1),(19,1),(49,1),(54,1),(56,1),(87,1)}
        34:{1,2,4,6,7}:{(18,1),(50,1),(53,1),(55,1),(86,1)}
        35:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(56,1)}
        36:{1,3,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(54,1),(57,1)}
        38:{1,2,3,6,7}:{(20,1),(22,1),(55,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(56,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(61,1)}
        41:{1,3,5,6}:{(23,1),(31,1),(61,1),(62,1)}
        42:{1,2,4,5,7}:{(23,1),(32,1),(60,1),(62,1),(65,1),(91,1),(103,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(59,1),(63,1),(65,1),(91,1)}
        44:{1,2,3,6}:{(24,1),(63,1)}
        45:{1,2,4,6}:{(25,1),(26,1),(61,1),(65,1)}
        46:{1,2,3,5,7}:{(26,1),(62,1),(64,1),(65,1),(91,1)}
        47:{2,4,5,6,7}:{(27,1),(28,1),(66,1),(94,1)}
        48:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(92,1)}
        49:{2,3,4,5,7}:{(30,1),(33,1),(59,1),(68,1),(70,1),(95,1)}
        50:{2,4,6,7}:{(29,1),(32,1),(67,1),(69,1)}
        51:{2,3,4,6}:{(30,1),(31,1),(35,1),(61,1),(70,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(62,1),(69,1),(70,1)}
        53:{1,2,5,6,7}:{(34,1),(67,1),(71,1),(74,1)}
        54:{1,3,4,6}:{(33,1),(37,1),(68,1),(72,1)}
        55:{1,3,6,7}:{(34,1),(36,1),(69,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(39,1),(70,1)}
        57:{1,2,5,6}:{(37,1),(72,1),(74,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(73,1),(74,1)}
        59:{1,3,4,5,7}:{(40,1),(43,1),(49,1),(76,1),(78,1),(99,1)}
        60:{1,2,4,6,7}:{(42,1),(50,1),(75,1),(77,1),(98,1)}
        61:{1,3,4,6}:{(40,1),(41,1),(45,1),(51,1),(78,1)}
        62:{1,3,5,7}:{(41,1),(42,1),(52,1),(77,1),(78,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(76,1),(79,1)}
        64:{1,2,3,6,7}:{(44,1),(46,1),(77,1),(80,1)}
        65:{1,2,4,7}:{(45,1),(46,1),(78,1)}
        66:{1,4,5,6,7}:{(47,1),(48,1),(81,1),(86,1),(98,1)}
        67:{2,5,6,7}:{(48,1),(50,1)}
        68:{2,3,4,6}:{(49,1),(54,1),(76,1),(83,1)}
        69:{2,3,6,7}:{(50,1),(52,1),(55,1),(77,1)}
        70:{2,3,4,7}:{(51,1),(52,1),(56,1),(78,1)}
        71:{1,3,5,6,7}:{(53,1),(55,1),(82,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(54,1),(57,1),(83,1),(85,1),(87,1)}
        73:{1,3,4,6,7}:{(54,1),(55,1),(56,1),(58,1),(84,1),(86,1),(87,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(87,1)}
        75:{1,2,5,6,7}:{(60,1),(67,1),(88,1),(91,1)}
        76:{1,3,4,6}:{(59,1),(63,1),(68,1),(89,1)}
        77:{1,3,6,7}:{(60,1),(62,1),(69,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(65,1),(70,1)}
        79:{1,2,5,6}:{(63,1),(89,1),(91,1)}
        80:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(90,1),(91,1)}
        81:{2,4,5,6,7}:{(66,1),(67,1),(92,1),(94,1)}
        82:{2,3,5,6,7}:{(67,1),(69,1),(71,1),(88,1),(92,1),(94,1),(95,1)}
        83:{2,3,5,6}:{(68,1),(72,1),(89,1),(93,1),(95,1)}
        84:{2,3,4,6,7}:{(68,1),(69,1),(70,1),(73,1),(90,1),(94,1),(95,1)}
        85:{1,4,5,6}:{(72,1),(93,1),(96,1)}
        86:{1,4,6,7}:{(71,1),(94,1),(96,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6,7}:{(75,1),(77,1),(82,1),(98,1),(99,1)}
        89:{1,3,5,6}:{(76,1),(79,1),(83,1),(97,1),(99,1)}
        90:{1,3,4,6,7}:{(76,1),(77,1),(78,1),(80,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,7}:{(79,1),(80,1),(99,1)}
        92:{3,5,6,7}:{(81,1),(101,1)}
        93:{2,4,5,6}:{(83,1),(85,1),(97,1),(100,1),(102,1)}
        94:{2,4,6,7}:{(82,1),(86,1),(98,1),(101,1),(102,1)}
        95:{2,3,5,7}:{(83,1),(84,1),(87,1),(99,1),(102,1)}
        96:{1,4,5,7}:{(85,1),(86,1),(87,1),(102,1)}
        97:{1,4,5,6}:{(89,1),(93,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(94,1),(103,1)}
        99:{1,3,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       100:{3,4,5,6}:{(93,1),(104,1)}
       101:{3,4,6,7}:{(92,1),(94,1),(104,1)}
       102:{2,4,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1),(104,1)}
       103:{1,4,5,7}:{(97,1),(98,1),(99,1),(102,1)}
       104:{3,4,5,7}:{(100,1),(101,1),(102,1)}

3064 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

3065 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,7}:{(1,1),(7,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1),(12,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,6,7}:{(7,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,5,6,7}:{(17,1),(27,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1),(35,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}
       35:{3,4,5,6,7}:{(33,1)}

3066 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3067 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(30,1),(64,1),(93,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(45,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(61,1),(93,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(20,1),(75,1),(101,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(20,1),(44,1),(78,1),(80,1),(100,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(27,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(32,1),(66,1),(86,1),(95,1),(104,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(57,1),(93,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(20,1),(43,1)}
        13:{1,3,4,5,7}:{(8,1),(22,1),(23,1),(47,1),(75,1),(101,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(19,1),(23,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(24,1),(100,1),(101,1)}
        16:{1,3,4,5,6,7}:{(26,1),(41,1),(53,1)}
        17:{1,3,4,5,6}:{(11,1),(27,1),(28,1)}
        18:{1,2,4,5,6,7}:{(12,1),(29,1),(39,1),(57,1),(69,1),(89,1),(90,1),(102,1)}
        19:{2,3,5,6}:{(11,1),(14,1),(27,1),(31,1),(32,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(15,1),(32,1)}
        21:{1,2,3,4,7}:{(30,1),(33,1),(93,1)}
        22:{1,2,4,5,7}:{(13,1),(33,1),(34,1),(61,1),(63,1),(93,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(31,1),(34,1)}
        24:{2,3,4,6,7}:{(14,1),(15,1),(32,1),(35,1),(57,1),(94,1),(95,1),(103,1),(104,1)}
        25:{2,3,4,5,6}:{(27,1),(36,1),(37,1),(87,1)}
        26:{2,4,5,6,7}:{(16,1),(38,1),(39,1),(57,1),(69,1)}
        27:{2,4,5,6}:{(17,1),(19,1),(42,1),(43,1)}
        28:{1,3,4,5,7}:{(17,1),(20,1),(41,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(41,1),(44,1),(100,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(48,1),(79,1)}
        31:{1,3,5,6}:{(19,1),(23,1),(42,1),(46,1),(47,1)}
        32:{2,3,5,7}:{(19,1),(20,1),(24,1),(43,1),(47,1)}
        33:{1,2,3,5,7}:{(21,1),(22,1),(45,1),(48,1)}
        34:{1,2,4,6}:{(22,1),(23,1),(46,1),(48,1)}
        35:{1,3,4,6,7}:{(23,1),(24,1),(47,1),(49,1),(74,1),(100,1),(101,1)}
        36:{1,3,4,5,6}:{(25,1),(42,1),(51,1),(52,1),(76,1)}
        37:{2,3,4,5,7}:{(25,1),(43,1),(50,1),(52,1),(99,1)}
        38:{2,3,5,6,7}:{(26,1),(50,1),(53,1)}
        39:{1,4,5,6,7}:{(26,1),(53,1),(74,1)}
        40:{2,3,4,5,6}:{(27,1),(54,1),(55,1),(67,1)}
        41:{1,3,4,6,7}:{(28,1),(29,1),(57,1)}
        42:{1,4,5,6}:{(27,1),(31,1),(59,1)}
        43:{2,4,5,7}:{(27,1),(28,1),(32,1),(57,1),(59,1)}
        44:{2,3,5,6,7}:{(29,1),(32,1),(57,1),(60,1),(69,1),(94,1),(102,1),(103,1)}
        45:{1,2,3,5}:{(30,1),(61,1)}
        46:{1,2,5,6}:{(31,1),(34,1),(63,1)}
        47:{1,3,5,7}:{(31,1),(32,1),(35,1),(59,1),(63,1)}
        48:{1,2,3,6}:{(33,1),(34,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(63,1),(64,1),(93,1)}
        50:{2,3,4,6,7}:{(37,1),(38,1),(57,1),(65,1),(103,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(68,1)}
        52:{1,3,4,5,7}:{(36,1),(37,1),(59,1),(65,1),(68,1),(92,1)}
        53:{1,3,5,6,7}:{(38,1),(39,1),(65,1),(69,1)}
        54:{1,3,4,5,6}:{(40,1),(42,1),(71,1),(72,1),(76,1)}
        55:{2,3,4,5,7}:{(40,1),(43,1),(70,1),(72,1),(83,1)}
        56:{1,3,4,5,6,7}:{(41,1),(73,1),(96,1)}
        57:{2,4,6,7}:{(41,1),(43,1),(44,1),(74,1)}
        58:{1,2,4,5,6}:{(42,1),(46,1),(51,1),(71,1),(76,1),(77,1),(79,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(47,1),(74,1)}
        60:{1,3,5,6,7}:{(44,1),(47,1),(74,1),(78,1),(100,1)}
        61:{1,2,4,5}:{(45,1),(75,1),(79,1)}
        62:{1,2,3,5,6}:{(45,1),(46,1),(48,1),(76,1),(79,1),(80,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(49,1)}
        64:{1,2,3,6,7}:{(48,1),(49,1),(80,1),(100,1)}
        65:{1,3,4,6,7}:{(50,1),(52,1),(53,1),(74,1),(81,1),(100,1)}
        66:{2,3,4,5}:{(75,1),(82,1)}
        67:{2,3,5,6}:{(51,1),(76,1),(82,1),(83,1)}
        68:{2,4,5,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,5,6,7}:{(53,1),(81,1)}
        70:{2,3,4,6,7}:{(55,1),(57,1),(84,1),(85,1),(94,1)}
        71:{2,4,5,6}:{(54,1),(87,1),(88,1)}
        72:{1,3,4,5,7}:{(54,1),(55,1),(59,1),(85,1),(88,1),(92,1)}
        73:{2,4,5,6,7}:{(56,1),(57,1),(84,1),(89,1),(102,1)}
        74:{1,4,6,7}:{(57,1),(59,1),(60,1)}
        75:{1,3,4,5}:{(61,1),(66,1),(86,1),(91,1)}
        76:{1,3,5,6}:{(58,1),(67,1),(87,1),(91,1),(92,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(63,1),(68,1),(88,1),(90,1),(92,1),(93,1)}
        78:{1,2,5,6,7}:{(60,1),(63,1),(69,1),(90,1),(102,1)}
        79:{1,2,4,6}:{(61,1),(62,1),(91,1),(93,1)}
        80:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(92,1),(93,1)}
        81:{2,4,6,7}:{(65,1),(68,1),(69,1),(94,1)}
        82:{2,3,4,6}:{(66,1),(67,1),(91,1),(95,1)}
        83:{2,3,5,7}:{(67,1),(68,1),(92,1),(94,1),(95,1)}
        84:{2,3,5,6,7}:{(70,1),(73,1),(96,1)}
        85:{1,3,4,6,7}:{(70,1),(72,1),(74,1),(96,1),(97,1),(100,1)}
        86:{2,3,4,5}:{(75,1),(98,1)}
        87:{2,3,5,6}:{(71,1),(76,1),(98,1),(99,1)}
        88:{2,4,5,7}:{(71,1),(72,1),(97,1),(99,1)}
        89:{1,4,5,6,7}:{(73,1),(74,1),(96,1)}
        90:{1,2,4,6,7}:{(74,1),(77,1),(78,1),(81,1),(97,1),(100,1)}
        91:{1,3,4,6}:{(75,1),(76,1),(79,1),(82,1),(98,1),(101,1)}
        92:{1,3,5,7}:{(76,1),(77,1),(83,1),(99,1),(100,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(101,1)}
        94:{2,3,6,7}:{(81,1),(83,1),(100,1)}
        95:{2,3,4,7}:{(82,1),(83,1),(101,1)}
        96:{1,3,5,6,7}:{(84,1),(85,1),(89,1),(102,1)}
        97:{2,4,6,7}:{(85,1),(88,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(86,1),(87,1),(91,1),(104,1)}
        99:{2,3,5,7}:{(87,1),(88,1),(92,1),(103,1),(104,1)}
       100:{1,3,6,7}:{(90,1),(92,1),(94,1),(103,1)}
       101:{1,3,4,7}:{(91,1),(92,1),(93,1),(95,1),(104,1)}
       102:{2,5,6,7}:{(96,1),(97,1)}
       103:{2,3,6,7}:{(97,1),(99,1),(100,1)}
       104:{2,3,4,7}:{(98,1),(99,1),(101,1)}

3068 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(50,1),(78,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(37,1),(39,1)}
         7:{2,3,4,5}:{(12,1),(16,1)}
         8:{1,3,4,5,6}:{(3,1),(17,1),(18,1),(39,1),(68,1),(73,1)}
         9:{2,3,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(90,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(54,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(54,1),(56,1)}
        15:{2,3,4,5,7}:{(7,1),(21,1),(28,1),(31,1),(60,1)}
        16:{2,3,4,6}:{(7,1),(24,1),(30,1),(31,1)}
        17:{2,4,5,6}:{(8,1),(30,1),(32,1)}
        18:{1,3,4,5,7}:{(8,1),(9,1),(32,1),(33,1),(56,1),(82,1),(85,1)}
        19:{2,3,4,6,7}:{(9,1),(29,1),(33,1),(81,1),(98,1)}
        20:{2,3,4,5}:{(12,1),(35,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(15,1),(34,1),(36,1),(40,1),(69,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(36,1),(37,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(38,1),(72,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(16,1),(35,1),(39,1),(40,1)}
        25:{1,2,4,5,6}:{(13,1),(17,1),(37,1),(39,1),(41,1),(66,1),(68,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(40,1)}
        27:{3,4,5,6,7}:{(42,1),(102,1)}
        28:{2,3,4,6}:{(15,1),(36,1),(43,1)}
        29:{2,3,5,6,7}:{(19,1),(42,1),(45,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1)}
        31:{2,3,4,7}:{(16,1),(40,1),(47,1)}
        32:{2,4,5,7}:{(17,1),(18,1),(47,1),(48,1)}
        33:{1,3,4,6,7}:{(18,1),(19,1),(45,1),(48,1),(72,1),(93,1),(95,1)}
        34:{2,3,4,5,7}:{(20,1),(21,1),(49,1),(51,1),(79,1)}
        35:{2,3,4,6}:{(20,1),(24,1),(50,1),(51,1)}
        36:{1,3,4,6}:{(21,1),(22,1),(28,1),(49,1),(52,1)}
        37:{1,2,5,6}:{(22,1),(52,1),(54,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(53,1),(54,1)}
        39:{1,3,5,6}:{(24,1),(25,1),(30,1),(50,1),(56,1)}
        40:{1,3,4,7}:{(24,1),(26,1),(31,1),(51,1),(56,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(32,1),(54,1),(56,1),(57,1),(80,1),(82,1)}
        42:{2,4,5,6,7}:{(27,1),(29,1),(58,1),(98,1)}
        43:{2,3,5,6}:{(28,1),(52,1),(59,1),(60,1)}
        44:{2,3,4,6,7}:{(28,1),(31,1),(53,1),(60,1),(63,1),(87,1)}
        45:{1,3,5,6,7}:{(29,1),(33,1),(58,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(30,1),(55,1),(59,1),(62,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(32,1),(56,1),(63,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(61,1),(63,1)}
        49:{2,3,4,6}:{(34,1),(36,1),(64,1)}
        50:{2,3,5,6}:{(35,1),(39,1),(66,1),(67,1)}
        51:{2,3,4,7}:{(35,1),(40,1),(67,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(43,1),(64,1),(68,1),(69,1)}
        53:{1,3,4,6,7}:{(36,1),(38,1),(40,1),(44,1),(65,1),(69,1),(72,1),(93,1)}
        54:{1,2,5,7}:{(37,1),(38,1),(69,1)}
        55:{1,3,4,5,6}:{(39,1),(46,1),(66,1),(68,1),(71,1),(89,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(41,1),(47,1),(67,1),(72,1)}
        57:{1,2,4,6,7}:{(41,1),(48,1),(70,1),(72,1),(92,1),(93,1)}
        58:{1,4,5,6,7}:{(42,1),(45,1),(74,1),(93,1)}
        59:{2,4,5,6}:{(43,1),(68,1),(73,1),(75,1)}
        60:{2,3,5,7}:{(43,1),(44,1),(69,1),(75,1)}
        61:{2,5,6,7}:{(45,1),(48,1)}
        62:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(75,1),(77,1)}
        63:{2,3,6,7}:{(47,1),(48,1),(72,1)}
        64:{2,3,5,6}:{(49,1),(52,1),(78,1),(79,1)}
        65:{2,3,4,6,7}:{(49,1),(51,1),(53,1),(79,1),(81,1),(98,1)}
        66:{2,4,5,6}:{(50,1),(55,1),(80,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(56,1),(80,1),(81,1)}
        68:{1,4,5,6}:{(52,1),(59,1),(78,1),(82,1)}
        69:{1,3,5,7}:{(52,1),(53,1),(54,1),(60,1),(79,1),(82,1)}
        70:{1,2,5,6,7}:{(54,1),(57,1),(61,1),(83,1),(99,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(62,1),(80,1),(82,1),(84,1),(97,1)}
        72:{1,3,6,7}:{(56,1),(57,1),(63,1),(81,1)}
        73:{3,4,5,6}:{(59,1),(85,1)}
        74:{2,4,5,6,7}:{(58,1),(61,1),(86,1),(87,1)}
        75:{2,4,5,7}:{(59,1),(60,1),(82,1),(85,1),(87,1)}
        76:{2,3,5,6,7}:{(60,1),(61,1),(63,1),(83,1),(86,1),(87,1)}
        77:{2,3,4,6,7}:{(62,1),(63,1),(84,1),(87,1),(88,1)}
        78:{2,4,5,6}:{(64,1),(68,1),(89,1),(90,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(90,1)}
        80:{2,4,5,7}:{(66,1),(67,1),(71,1),(92,1)}
        81:{2,3,6,7}:{(67,1),(72,1),(92,1)}
        82:{1,4,5,7}:{(68,1),(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,6,7}:{(69,1),(70,1),(72,1),(76,1),(91,1),(93,1)}
        84:{1,3,4,6,7}:{(71,1),(72,1),(77,1),(92,1),(93,1),(94,1),(102,1)}
        85:{3,4,5,7}:{(73,1),(75,1),(95,1)}
        86:{3,5,6,7}:{(74,1),(95,1)}
        87:{2,4,6,7}:{(75,1),(76,1),(93,1),(95,1)}
        88:{2,3,5,6,7}:{(77,1),(94,1),(96,1)}
        89:{3,4,5,6}:{(78,1),(97,1)}
        90:{2,4,5,7}:{(78,1),(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,6,7}:{(79,1),(81,1),(83,1),(98,1),(99,1),(104,1)}
        92:{2,4,6,7}:{(80,1),(81,1),(84,1),(99,1)}
        93:{1,4,6,7}:{(82,1),(83,1),(87,1),(98,1)}
        94:{1,3,5,6,7}:{(84,1),(88,1),(99,1),(100,1),(104,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(87,1)}
        96:{2,4,5,6,7}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,5,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
        99:{2,5,6,7}:{(92,1),(94,1)}
       100:{1,4,5,6,7}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6,7}:{(95,1),(96,1)}
       102:{3,4,6,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3069 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3070 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(64,1),(65,1),(91,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(80,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(12,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(91,1),(92,1)}
         4:{1,2,3,5,6,7}:{(2,1),(8,1),(19,1),(44,1),(77,1),(78,1),(99,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,3,4,5,7}:{(3,1),(9,1),(10,1),(19,1),(100,1),(101,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(28,1)}
         8:{1,2,4,6,7}:{(4,1),(5,1),(11,1),(13,1),(58,1),(91,1)}
         9:{1,3,4,6}:{(5,1),(6,1),(12,1),(14,1)}
        10:{2,3,4,5,7}:{(6,1),(14,1),(15,1),(30,1),(94,1),(95,1),(103,1),(104,1)}
        11:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(42,1)}
        12:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        13:{1,3,4,6,7}:{(8,1),(9,1),(19,1),(21,1),(99,1),(100,1)}
        14:{2,3,4,6}:{(9,1),(10,1),(20,1),(22,1)}
        15:{1,3,4,5,7}:{(10,1),(22,1),(23,1),(45,1),(100,1),(101,1)}
        16:{1,3,4,5,6,7}:{(25,1),(41,1),(53,1)}
        17:{1,3,4,5,6}:{(12,1),(27,1),(28,1)}
        18:{1,2,4,5,6,7}:{(11,1),(29,1),(38,1),(57,1),(58,1),(69,1),(87,1),(88,1)}
        19:{1,3,5,7}:{(11,1),(12,1),(13,1),(30,1)}
        20:{2,3,5,6}:{(12,1),(14,1),(28,1),(30,1),(31,1)}
        21:{2,3,4,6,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(93,1),(94,1),(102,1),(103,1)}
        22:{1,3,4,6}:{(14,1),(15,1),(31,1),(33,1)}
        23:{1,2,4,5,7}:{(15,1),(33,1),(34,1),(62,1),(91,1),(92,1)}
        24:{2,3,4,5,6}:{(28,1),(35,1),(36,1),(86,1)}
        25:{2,4,5,6,7}:{(16,1),(37,1),(38,1),(58,1),(69,1)}
        26:{1,3,4,5,6,7}:{(40,1),(41,1),(73,1)}
        27:{1,3,4,5,7}:{(17,1),(19,1),(41,1),(42,1)}
        28:{2,4,5,6}:{(17,1),(20,1),(42,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(19,1),(41,1),(44,1),(99,1)}
        30:{2,3,5,7}:{(19,1),(20,1),(21,1),(42,1),(45,1)}
        31:{1,3,5,6}:{(20,1),(22,1),(43,1),(45,1),(46,1)}
        32:{1,3,4,6,7}:{(21,1),(22,1),(45,1),(47,1),(74,1),(99,1),(100,1)}
        33:{1,2,4,6}:{(22,1),(23,1),(46,1),(48,1)}
        34:{1,2,3,5,7}:{(23,1),(48,1),(49,1),(80,1)}
        35:{2,3,4,5,7}:{(24,1),(42,1),(50,1),(51,1),(97,1)}
        36:{1,3,4,5,6}:{(24,1),(43,1),(51,1),(52,1),(76,1)}
        37:{2,3,5,6,7}:{(25,1),(50,1),(53,1)}
        38:{1,4,5,6,7}:{(25,1),(53,1),(74,1)}
        39:{2,3,4,5,6}:{(28,1),(54,1),(55,1),(68,1)}
        40:{2,4,5,6,7}:{(26,1),(56,1),(57,1),(58,1),(87,1)}
        41:{1,3,4,6,7}:{(27,1),(29,1),(58,1)}
        42:{2,4,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1)}
        43:{1,4,5,6}:{(28,1),(31,1),(59,1)}
        44:{2,3,5,6,7}:{(29,1),(30,1),(58,1),(61,1),(69,1),(87,1),(93,1),(102,1)}
        45:{1,3,5,7}:{(30,1),(31,1),(32,1),(59,1),(62,1)}
        46:{1,2,5,6}:{(31,1),(33,1),(62,1)}
        47:{1,2,4,6,7}:{(32,1),(33,1),(62,1),(64,1),(91,1)}
        48:{1,2,3,6}:{(33,1),(34,1)}
        49:{1,2,3,4,7}:{(34,1),(65,1),(91,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(58,1),(66,1),(102,1)}
        51:{1,3,4,5,7}:{(35,1),(36,1),(59,1),(66,1),(67,1),(89,1)}
        52:{2,4,5,6}:{(36,1),(67,1),(68,1)}
        53:{1,3,5,6,7}:{(37,1),(38,1),(66,1),(69,1)}
        54:{2,3,4,5,7}:{(39,1),(42,1),(70,1),(71,1),(82,1)}
        55:{1,3,4,5,6}:{(39,1),(43,1),(71,1),(72,1),(76,1)}
        56:{2,3,5,6,7}:{(40,1),(70,1),(73,1)}
        57:{1,4,5,6,7}:{(40,1),(73,1),(74,1)}
        58:{2,4,6,7}:{(41,1),(42,1),(44,1),(74,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(45,1),(74,1)}
        60:{1,2,4,5,6}:{(43,1),(46,1),(52,1),(72,1),(75,1),(76,1),(79,1)}
        61:{1,3,5,6,7}:{(44,1),(45,1),(74,1),(77,1),(99,1)}
        62:{1,2,5,7}:{(45,1),(46,1),(47,1)}
        63:{1,2,3,5,6}:{(46,1),(48,1),(76,1),(78,1),(79,1),(80,1)}
        64:{1,2,3,6,7}:{(47,1),(48,1),(78,1),(99,1)}
        65:{1,2,3,4,6}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,4,6,7}:{(50,1),(51,1),(53,1),(74,1),(81,1),(99,1)}
        67:{2,4,5,7}:{(51,1),(52,1),(81,1),(82,1)}
        68:{2,3,5,6}:{(52,1),(76,1),(82,1),(83,1)}
        69:{2,5,6,7}:{(53,1),(81,1)}
        70:{2,3,4,6,7}:{(54,1),(56,1),(58,1),(84,1),(93,1)}
        71:{1,3,4,5,7}:{(54,1),(55,1),(59,1),(84,1),(85,1),(89,1)}
        72:{2,4,5,6}:{(55,1),(85,1),(86,1)}
        73:{1,3,5,6,7}:{(56,1),(57,1),(84,1),(87,1)}
        74:{1,4,6,7}:{(58,1),(59,1),(61,1)}
        75:{1,2,4,5,7}:{(59,1),(60,1),(62,1),(67,1),(85,1),(88,1),(89,1),(91,1)}
        76:{1,3,5,6}:{(60,1),(68,1),(86,1),(89,1),(90,1)}
        77:{1,2,5,6,7}:{(61,1),(62,1),(69,1),(87,1),(88,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(91,1)}
        79:{1,2,4,6}:{(63,1),(90,1),(91,1),(92,1)}
        80:{1,2,3,5}:{(65,1),(92,1)}
        81:{2,4,6,7}:{(66,1),(67,1),(69,1),(93,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(89,1),(93,1),(94,1)}
        83:{2,3,4,6}:{(68,1),(90,1),(94,1),(95,1)}
        84:{1,3,4,6,7}:{(70,1),(71,1),(73,1),(74,1),(96,1),(99,1)}
        85:{2,4,5,7}:{(71,1),(72,1),(96,1),(97,1)}
        86:{2,3,5,6}:{(72,1),(76,1),(97,1),(98,1)}
        87:{2,5,6,7}:{(73,1),(96,1)}
        88:{1,2,4,6,7}:{(74,1),(75,1),(77,1),(81,1),(96,1),(99,1)}
        89:{1,3,5,7}:{(75,1),(76,1),(82,1),(97,1),(99,1),(100,1)}
        90:{1,3,4,6}:{(76,1),(79,1),(83,1),(98,1),(100,1),(101,1)}
        91:{1,2,4,7}:{(78,1),(79,1),(100,1)}
        92:{1,2,4,5}:{(79,1),(80,1),(101,1)}
        93:{2,3,6,7}:{(81,1),(82,1),(99,1)}
        94:{2,3,4,7}:{(82,1),(83,1),(100,1)}
        95:{2,3,4,5}:{(83,1),(101,1)}
        96:{2,4,6,7}:{(84,1),(85,1),(87,1),(102,1)}
        97:{2,3,5,7}:{(85,1),(86,1),(89,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(86,1),(90,1),(103,1),(104,1)}
        99:{1,3,6,7}:{(88,1),(89,1),(93,1),(102,1)}
       100:{1,3,4,7}:{(89,1),(90,1),(91,1),(94,1),(103,1)}
       101:{1,3,4,5}:{(90,1),(92,1),(95,1),(104,1)}
       102:{2,3,6,7}:{(96,1),(97,1),(99,1)}
       103:{2,3,4,7}:{(97,1),(98,1),(100,1)}
       104:{2,3,4,5}:{(98,1),(101,1)}

3071 :   0:{1,2,3,4,6}:{(1,1),(2,1),(13,1),(14,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(29,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(54,1),(84,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(13,1)}
         5:{1,2,4,5}:{(2,1),(11,1),(14,1)}
         6:{1,2,3,5,6}:{(2,1),(13,1),(14,1),(15,1),(42,1),(44,1)}
         7:{2,3,4,5}:{(11,1),(17,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(42,1),(76,1),(80,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(72,1),(96,1)}
        10:{2,3,4,5,6}:{(22,1),(23,1),(31,1),(64,1)}
        11:{1,3,4,5}:{(5,1),(7,1),(21,1),(25,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(26,1),(29,1),(62,1)}
        13:{1,2,3,6}:{(4,1),(26,1)}
        14:{1,2,4,6}:{(5,1),(6,1),(25,1),(29,1)}
        15:{1,2,3,5,7}:{(6,1),(27,1),(29,1),(61,1),(62,1)}
        16:{2,3,4,5,7}:{(7,1),(24,1),(30,1),(32,1),(65,1)}
        17:{2,3,4,6}:{(7,1),(25,1),(31,1),(32,1)}
        18:{2,4,5,6}:{(8,1),(31,1),(33,1)}
        19:{1,3,4,5,7}:{(8,1),(9,1),(33,1),(34,1),(61,1),(90,1),(92,1)}
        20:{2,3,4,6,7}:{(9,1),(34,1),(35,1),(86,1),(102,1)}
        21:{2,3,4,5}:{(11,1),(37,1)}
        22:{1,3,4,5,6}:{(10,1),(38,1),(39,1),(42,1),(76,1),(95,1)}
        23:{2,3,4,5,7}:{(10,1),(39,1),(40,1),(49,1),(81,1)}
        24:{1,3,4,5,7}:{(11,1),(12,1),(16,1),(36,1),(41,1),(43,1),(77,1)}
        25:{1,3,4,6}:{(11,1),(14,1),(17,1),(37,1),(42,1),(43,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(41,1),(44,1)}
        27:{1,2,3,6,7}:{(13,1),(15,1),(45,1),(78,1)}
        28:{1,2,4,5,6}:{(14,1),(18,1),(38,1),(42,1),(44,1),(46,1),(76,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(43,1)}
        30:{2,3,4,6}:{(16,1),(41,1),(47,1)}
        31:{2,3,5,6}:{(17,1),(18,1),(42,1),(49,1)}
        32:{2,3,4,7}:{(17,1),(43,1),(49,1)}
        33:{2,4,5,7}:{(18,1),(19,1),(49,1),(50,1)}
        34:{1,3,4,6,7}:{(19,1),(20,1),(50,1),(51,1),(78,1),(99,1),(100,1)}
        35:{2,3,5,6,7}:{(20,1),(51,1),(52,1)}
        36:{2,3,4,5,7}:{(21,1),(24,1),(53,1),(55,1),(85,1)}
        37:{2,3,4,6}:{(21,1),(25,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(22,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(22,1),(23,1),(56,1),(57,1),(61,1),(90,1),(101,1)}
        40:{2,3,4,6,7}:{(23,1),(57,1),(58,1),(66,1),(93,1)}
        41:{1,3,4,6}:{(24,1),(26,1),(30,1),(53,1),(59,1)}
        42:{1,3,5,6}:{(25,1),(28,1),(31,1),(54,1),(61,1)}
        43:{1,3,4,7}:{(25,1),(29,1),(32,1),(55,1),(61,1)}
        44:{1,2,5,6}:{(26,1),(59,1),(62,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(60,1),(62,1)}
        46:{1,2,4,5,7}:{(28,1),(29,1),(33,1),(56,1),(61,1),(62,1),(63,1),(90,1)}
        47:{2,3,5,6}:{(30,1),(59,1),(64,1),(65,1)}
        48:{2,3,4,6,7}:{(30,1),(32,1),(60,1),(65,1),(66,1),(93,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(33,1),(61,1),(66,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(66,1),(67,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(67,1),(68,1),(94,1)}
        52:{2,4,5,6,7}:{(35,1),(68,1),(69,1),(102,1)}
        53:{2,3,4,6}:{(36,1),(41,1),(70,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(42,1),(72,1)}
        55:{2,3,4,7}:{(37,1),(43,1),(72,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(72,1),(73,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(73,1),(74,1),(78,1),(99,1),(104,1)}
        58:{2,3,5,6,7}:{(40,1),(74,1),(75,1)}
        59:{1,3,5,6}:{(41,1),(44,1),(47,1),(70,1),(76,1),(77,1)}
        60:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(48,1),(71,1),(77,1),(78,1),(99,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(46,1),(49,1),(72,1),(78,1)}
        62:{1,2,5,7}:{(44,1),(45,1),(77,1)}
        63:{1,2,4,6,7}:{(46,1),(50,1),(73,1),(78,1),(79,1),(99,1)}
        64:{2,4,5,6}:{(47,1),(76,1),(80,1),(81,1)}
        65:{2,3,5,7}:{(47,1),(48,1),(77,1),(81,1)}
        66:{2,3,6,7}:{(49,1),(50,1),(78,1)}
        67:{2,5,6,7}:{(50,1),(51,1)}
        68:{1,4,5,6,7}:{(51,1),(52,1),(83,1),(99,1)}
        69:{3,4,5,6,7}:{(52,1),(104,1)}
        70:{2,3,5,6}:{(53,1),(59,1),(84,1),(85,1)}
        71:{2,3,4,6,7}:{(53,1),(55,1),(60,1),(85,1),(86,1),(102,1)}
        72:{2,3,5,7}:{(54,1),(55,1),(56,1),(61,1),(86,1)}
        73:{2,4,6,7}:{(56,1),(57,1),(86,1),(87,1)}
        74:{1,3,5,6,7}:{(57,1),(58,1),(87,1),(88,1),(103,1)}
        75:{2,4,5,6,7}:{(58,1),(88,1),(89,1),(93,1)}
        76:{1,4,5,6}:{(59,1),(64,1),(84,1),(90,1)}
        77:{1,3,5,7}:{(59,1),(60,1),(62,1),(65,1),(85,1),(90,1)}
        78:{1,3,6,7}:{(61,1),(63,1),(66,1),(86,1)}
        79:{1,2,5,6,7}:{(62,1),(63,1),(67,1),(87,1),(91,1)}
        80:{3,4,5,6}:{(64,1),(92,1)}
        81:{2,4,5,7}:{(64,1),(65,1),(90,1),(92,1),(93,1)}
        82:{2,3,5,6,7}:{(65,1),(66,1),(67,1),(91,1),(93,1),(94,1)}
        83:{2,4,5,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{2,4,5,6}:{(70,1),(76,1),(95,1),(96,1)}
        85:{2,3,5,7}:{(70,1),(71,1),(77,1),(96,1)}
        86:{2,3,6,7}:{(72,1),(73,1),(78,1)}
        87:{2,5,6,7}:{(73,1),(74,1)}
        88:{1,4,5,6,7}:{(74,1),(75,1),(98,1),(99,1)}
        89:{3,4,5,6,7}:{(75,1),(100,1)}
        90:{1,4,5,7}:{(76,1),(77,1),(81,1),(96,1),(99,1)}
        91:{1,3,5,6,7}:{(77,1),(78,1),(79,1),(82,1),(97,1),(99,1)}
        92:{3,4,5,7}:{(80,1),(81,1),(100,1)}
        93:{2,4,6,7}:{(81,1),(82,1),(99,1),(100,1)}
        94:{3,5,6,7}:{(83,1),(100,1)}
        95:{3,4,5,6}:{(84,1),(101,1)}
        96:{2,4,5,7}:{(84,1),(85,1),(90,1),(101,1),(102,1)}
        97:{2,3,5,6,7}:{(85,1),(86,1),(87,1),(91,1),(102,1),(103,1)}
        98:{2,4,5,6,7}:{(87,1),(88,1),(102,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
       100:{3,4,6,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,7}:{(95,1),(96,1),(104,1)}
       102:{2,4,6,7}:{(96,1),(97,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(98,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

3072 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(19,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(19,1),(20,1)}
       17:{1,2,5,6,7}:{(13,1),(20,1)}
       18:{2,3,5,6,7}:{(14,1),(20,1),(21,1)}
       19:{2,3,4,6,7}:{(15,1),(16,1),(22,1)}
       20:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(22,1),(23,1)}
       21:{2,4,5,6,7}:{(18,1),(23,1),(24,1)}
       22:{2,3,5,6,7}:{(19,1),(20,1),(25,1)}
       23:{1,4,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{3,4,5,6,7}:{(21,1)}
       25:{2,4,5,6,7}:{(22,1),(23,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3073 :   0:{2,3,4,5,6}:{(2,1),(3,1),(42,1),(96,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(29,1),(30,1)}
         2:{1,3,4,5,6}:{(0,1),(8,1),(9,1),(26,1),(89,1),(92,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(9,1),(61,1),(103,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(20,1),(82,1)}
         5:{1,2,3,4,7}:{(1,1),(13,1),(50,1)}
         6:{1,2,3,5}:{(1,1),(14,1)}
         7:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(75,1),(97,1)}
         8:{2,4,5,6}:{(2,1),(20,1),(21,1)}
         9:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(21,1),(47,1),(99,1),(100,1)}
        10:{1,3,4,5,6}:{(4,1),(23,1),(24,1),(26,1),(89,1),(101,1)}
        11:{2,3,4,5,7}:{(4,1),(22,1),(24,1),(37,1),(94,1)}
        12:{1,2,4,5,6}:{(8,1),(23,1),(26,1),(27,1),(30,1),(66,1),(89,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        14:{1,2,4,5}:{(6,1),(25,1),(30,1)}
        15:{1,2,3,5,6}:{(6,1),(26,1),(29,1),(30,1),(31,1),(66,1)}
        16:{3,4,5,6,7}:{(32,1),(102,1)}
        17:{2,3,5,6,7}:{(7,1),(32,1),(33,1)}
        18:{1,3,4,6,7}:{(7,1),(9,1),(33,1),(35,1),(64,1),(90,1),(93,1)}
        19:{2,3,4,5}:{(25,1),(36,1)}
        20:{2,3,5,6}:{(8,1),(26,1),(36,1),(37,1)}
        21:{2,4,5,7}:{(8,1),(9,1),(35,1),(37,1)}
        22:{2,3,4,6,7}:{(11,1),(39,1),(40,1),(54,1),(83,1)}
        23:{2,4,5,6}:{(10,1),(42,1),(43,1)}
        24:{1,3,4,5,7}:{(10,1),(11,1),(40,1),(43,1),(47,1),(99,1),(104,1)}
        25:{1,3,4,5}:{(14,1),(19,1),(41,1),(46,1)}
        26:{1,3,5,6}:{(12,1),(20,1),(42,1),(46,1),(47,1)}
        27:{1,2,4,5,7}:{(12,1),(21,1),(43,1),(45,1),(47,1),(50,1),(80,1),(99,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(44,1),(48,1),(50,1),(80,1)}
        29:{1,2,3,6}:{(13,1),(48,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(46,1),(50,1)}
        31:{1,2,3,5,7}:{(15,1),(47,1),(49,1),(50,1),(80,1)}
        32:{2,4,5,6,7}:{(16,1),(17,1),(51,1),(97,1)}
        33:{1,3,5,6,7}:{(17,1),(18,1),(51,1),(52,1),(81,1)}
        34:{2,3,4,5,7}:{(19,1),(44,1),(53,1),(55,1),(84,1)}
        35:{2,4,6,7}:{(18,1),(21,1),(52,1),(54,1)}
        36:{2,3,4,6}:{(19,1),(20,1),(46,1),(55,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(47,1),(54,1),(55,1)}
        38:{3,4,5,6,7}:{(56,1),(93,1)}
        39:{2,3,5,6,7}:{(22,1),(56,1),(57,1)}
        40:{1,3,4,6,7}:{(22,1),(24,1),(57,1),(59,1),(64,1),(90,1),(102,1)}
        41:{2,3,4,5}:{(25,1),(60,1)}
        42:{2,3,5,6}:{(23,1),(26,1),(60,1),(61,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(59,1),(61,1)}
        44:{1,3,4,5,7}:{(25,1),(28,1),(34,1),(58,1),(63,1),(65,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(35,1),(59,1),(62,1),(64,1),(90,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(30,1),(36,1),(60,1),(65,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(37,1),(61,1),(64,1),(65,1)}
        48:{1,2,4,6}:{(28,1),(29,1),(63,1),(66,1)}
        49:{1,2,3,6,7}:{(29,1),(31,1),(64,1),(67,1)}
        50:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        51:{1,4,5,6,7}:{(32,1),(33,1),(68,1),(90,1)}
        52:{2,5,6,7}:{(33,1),(35,1)}
        53:{2,3,4,6}:{(34,1),(63,1),(70,1)}
        54:{2,3,6,7}:{(35,1),(37,1),(64,1)}
        55:{2,3,4,7}:{(36,1),(37,1),(65,1)}
        56:{2,4,5,6,7}:{(38,1),(39,1),(72,1),(83,1)}
        57:{1,3,5,6,7}:{(39,1),(40,1),(72,1),(73,1),(95,1)}
        58:{2,3,4,5,7}:{(41,1),(44,1),(74,1),(76,1),(98,1)}
        59:{2,4,6,7}:{(40,1),(43,1),(73,1),(75,1)}
        60:{2,3,4,6}:{(41,1),(42,1),(46,1),(76,1)}
        61:{2,3,5,7}:{(42,1),(43,1),(47,1),(75,1),(76,1)}
        62:{1,2,5,6,7}:{(45,1),(52,1),(73,1),(77,1),(80,1)}
        63:{1,3,4,6}:{(44,1),(48,1),(53,1),(74,1),(78,1)}
        64:{1,3,6,7}:{(45,1),(47,1),(54,1),(75,1)}
        65:{1,3,4,7}:{(46,1),(47,1),(50,1),(55,1),(76,1)}
        66:{1,2,5,6}:{(48,1),(78,1),(80,1)}
        67:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1)}
        68:{2,4,5,6,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,3,5,6,7}:{(52,1),(54,1),(77,1),(81,1),(83,1),(84,1)}
        70:{2,3,5,6}:{(53,1),(78,1),(82,1),(84,1)}
        71:{2,3,4,6,7}:{(53,1),(54,1),(55,1),(79,1),(83,1),(84,1)}
        72:{1,4,5,6,7}:{(56,1),(57,1),(85,1),(90,1)}
        73:{2,5,6,7}:{(57,1),(59,1)}
        74:{2,3,4,6}:{(58,1),(63,1),(87,1)}
        75:{2,3,6,7}:{(59,1),(61,1),(64,1)}
        76:{2,3,4,7}:{(60,1),(61,1),(65,1)}
        77:{1,3,5,6,7}:{(62,1),(64,1),(69,1),(86,1),(90,1),(91,1)}
        78:{1,3,5,6}:{(63,1),(66,1),(70,1),(87,1),(89,1),(91,1)}
        79:{1,3,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(71,1),(88,1),(90,1),(91,1)}
        80:{1,2,5,7}:{(66,1),(67,1),(91,1)}
        81:{3,5,6,7}:{(68,1),(93,1)}
        82:{2,4,5,6}:{(70,1),(89,1),(92,1),(94,1)}
        83:{2,4,6,7}:{(69,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(91,1),(94,1)}
        85:{2,4,5,6,7}:{(72,1),(73,1),(95,1),(97,1)}
        86:{2,3,5,6,7}:{(73,1),(75,1),(77,1),(95,1),(97,1),(98,1)}
        87:{2,3,5,6}:{(74,1),(78,1),(96,1),(98,1)}
        88:{2,3,4,6,7}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        89:{1,4,5,6}:{(78,1),(82,1),(96,1),(99,1)}
        90:{1,4,6,7}:{(77,1),(83,1),(97,1),(99,1)}
        91:{1,3,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(82,1),(100,1)}
        93:{3,4,6,7}:{(81,1),(83,1),(100,1)}
        94:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(85,1),(102,1)}
        96:{2,4,5,6}:{(87,1),(89,1),(101,1),(103,1)}
        97:{2,4,6,7}:{(86,1),(90,1),(102,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        99:{1,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,6}:{(96,1),(104,1)}
       102:{3,4,6,7}:{(95,1),(97,1),(104,1)}
       103:{2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

3074 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3075 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(103,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(51,1),(98,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(100,1),(101,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(16,1),(96,1)}
         4:{2,3,4,6,7}:{(1,1),(13,1),(14,1),(66,1),(90,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(37,1),(93,1),(95,1)}
         6:{2,4,5,6}:{(2,1),(15,1),(16,1)}
         7:{2,3,4,5,7}:{(3,1),(17,1),(18,1),(29,1),(87,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(21,1),(100,1),(104,1)}
         9:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(23,1),(85,1),(100,1)}
        10:{1,2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(59,1),(85,1)}
        11:{1,2,3,4,6}:{(23,1),(24,1),(25,1),(59,1)}
        12:{3,4,5,6,7}:{(26,1),(97,1)}
        13:{2,3,5,6,7}:{(4,1),(26,1),(27,1)}
        14:{1,3,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(54,1),(82,1),(86,1)}
        15:{2,4,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(29,1),(30,1)}
        17:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(45,1),(75,1)}
        18:{1,3,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(93,1),(102,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(35,1)}
        20:{1,2,4,5,7}:{(9,1),(15,1),(34,1),(36,1),(37,1),(40,1),(72,1),(93,1)}
        21:{1,3,5,6}:{(9,1),(16,1),(35,1),(37,1),(38,1)}
        22:{1,2,3,5,7}:{(10,1),(37,1),(39,1),(40,1),(72,1)}
        23:{1,2,4,6}:{(10,1),(38,1),(40,1),(41,1)}
        24:{1,2,3,4,7}:{(11,1),(40,1),(42,1)}
        25:{1,2,3,5}:{(11,1),(41,1)}
        26:{2,4,5,6,7}:{(12,1),(13,1),(43,1),(90,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(14,1),(15,1),(44,1),(45,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(37,1),(45,1),(46,1)}
        30:{2,3,4,6}:{(16,1),(38,1),(46,1),(47,1)}
        31:{3,4,5,6,7}:{(48,1),(86,1)}
        32:{2,3,5,6,7}:{(17,1),(48,1),(49,1)}
        33:{1,3,4,6,7}:{(17,1),(18,1),(49,1),(50,1),(54,1),(82,1),(97,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(50,1),(51,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(51,1),(52,1)}
        36:{1,2,4,6,7}:{(20,1),(28,1),(50,1),(53,1),(54,1),(82,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(29,1),(51,1),(54,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(23,1),(30,1),(52,1),(55,1),(56,1)}
        39:{1,2,3,6,7}:{(22,1),(54,1),(57,1),(59,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(55,1)}
        41:{1,2,4,5}:{(23,1),(25,1),(56,1)}
        42:{1,2,3,5,7}:{(24,1),(25,1),(58,1),(59,1)}
        43:{1,4,5,6,7}:{(26,1),(27,1),(60,1),(82,1)}
        44:{2,5,6,7}:{(27,1),(28,1)}
        45:{2,3,6,7}:{(28,1),(29,1),(54,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(55,1)}
        47:{2,3,4,5}:{(30,1),(56,1)}
        48:{2,4,5,6,7}:{(31,1),(32,1),(64,1),(75,1)}
        49:{1,3,5,6,7}:{(32,1),(33,1),(64,1),(65,1),(89,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(65,1),(66,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(66,1),(67,1)}
        52:{2,3,4,6}:{(35,1),(38,1),(67,1),(68,1)}
        53:{1,2,5,6,7}:{(36,1),(44,1),(65,1),(69,1),(72,1)}
        54:{1,3,6,7}:{(36,1),(37,1),(45,1),(66,1)}
        55:{1,3,4,7}:{(37,1),(38,1),(40,1),(46,1),(67,1)}
        56:{1,3,4,5}:{(38,1),(41,1),(47,1),(68,1)}
        57:{1,2,4,6,7}:{(39,1),(40,1),(70,1),(72,1),(73,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1),(73,1)}
        59:{1,2,3,6}:{(42,1),(73,1)}
        60:{2,4,5,6,7}:{(43,1),(44,1),(74,1),(75,1)}
        61:{2,3,5,6,7}:{(44,1),(45,1),(69,1),(74,1),(75,1),(76,1)}
        62:{2,3,4,6,7}:{(45,1),(46,1),(70,1),(75,1),(76,1),(77,1)}
        63:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(76,1),(77,1)}
        64:{1,4,5,6,7}:{(48,1),(49,1),(78,1),(82,1)}
        65:{2,5,6,7}:{(49,1),(50,1)}
        66:{2,3,6,7}:{(50,1),(51,1),(54,1)}
        67:{2,3,4,7}:{(51,1),(52,1),(55,1)}
        68:{2,3,4,5}:{(52,1),(56,1)}
        69:{1,3,5,6,7}:{(53,1),(54,1),(61,1),(79,1),(82,1),(83,1)}
        70:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(62,1),(80,1),(82,1),(83,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(58,1),(63,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,7}:{(57,1),(83,1),(85,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(84,1),(85,1)}
        74:{3,5,6,7}:{(60,1),(86,1)}
        75:{2,4,6,7}:{(61,1),(82,1),(86,1),(87,1)}
        76:{2,3,5,7}:{(62,1),(83,1),(87,1),(88,1)}
        77:{2,3,4,6}:{(63,1),(84,1),(88,1)}
        78:{2,4,5,6,7}:{(64,1),(65,1),(89,1),(90,1)}
        79:{2,3,5,6,7}:{(65,1),(66,1),(69,1),(89,1),(90,1),(91,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(70,1),(90,1),(91,1),(92,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(71,1),(91,1),(92,1)}
        82:{1,4,6,7}:{(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(76,1),(91,1),(93,1),(94,1)}
        84:{1,3,4,6}:{(71,1),(73,1),(77,1),(92,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(73,1),(94,1)}
        86:{3,4,6,7}:{(74,1),(75,1),(95,1)}
        87:{2,4,5,7}:{(75,1),(76,1),(93,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(76,1),(77,1),(94,1),(96,1)}
        89:{3,5,6,7}:{(78,1),(97,1)}
        90:{2,4,6,7}:{(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,7}:{(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1)}
        93:{1,4,5,7}:{(82,1),(83,1),(87,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(86,1),(87,1),(101,1)}
        96:{2,4,5,6}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,6,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,3,5,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6}:{(95,1),(96,1)}
       102:{3,4,5,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

3076 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

3077 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3078 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(22,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(29,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(30,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(24,1),(36,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(24,1),(27,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(30,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(34,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(34,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(36,1),(46,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(22,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(36,1)}
       16:{2,3,4,5,6}:{(10,1),(23,1),(39,1)}
       17:{1,3,4,6,7}:{(11,1),(21,1),(24,1),(40,1)}
       18:{1,2,4,5,7}:{(11,1),(22,1),(24,1),(25,1)}
       19:{1,2,3,5,7}:{(12,1),(24,1),(26,1),(27,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(28,1),(29,1),(48,1)}
       21:{2,3,4,6,7}:{(14,1),(17,1),(28,1),(30,1),(44,1)}
       22:{2,4,5,7}:{(14,1),(15,1),(30,1),(31,1)}
       23:{1,3,4,5,6}:{(15,1),(16,1),(31,1),(33,1),(43,1)}
       24:{1,3,5,7}:{(17,1),(18,1),(30,1),(33,1)}
       25:{1,2,4,5,6}:{(18,1),(31,1),(33,1),(34,1)}
       26:{1,2,4,5,7}:{(19,1),(32,1),(34,1)}
       27:{1,2,3,5,6}:{(19,1),(33,1),(34,1)}
       28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(47,1)}
       29:{1,2,4,5,7}:{(20,1),(22,1),(36,1),(37,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(39,1)}
       31:{2,4,5,6}:{(22,1),(23,1),(39,1)}
       32:{1,3,4,5,7}:{(24,1),(26,1),(38,1),(40,1)}
       33:{1,3,5,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,4,6}:{(26,1),(27,1),(40,1)}
       35:{1,2,3,4,6,7}:{(28,1),(41,1),(48,1)}
       36:{1,3,5,7}:{(28,1),(29,1),(30,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(31,1),(43,1),(48,1)}
       38:{2,3,4,5,7}:{(30,1),(32,1),(42,1),(44,1)}
       39:{2,3,5,6}:{(30,1),(31,1),(33,1),(43,1),(44,1)}
       40:{1,3,4,6}:{(32,1),(33,1),(34,1),(44,1)}
       41:{1,2,3,5,7}:{(35,1),(36,1),(45,1),(46,1)}
       42:{1,3,4,5,7}:{(36,1),(38,1),(45,1),(47,1)}
       43:{1,3,5,6}:{(36,1),(37,1),(39,1),(47,1)}
       44:{2,3,4,6}:{(38,1),(39,1),(40,1),(47,1)}
       45:{1,2,4,5,7}:{(41,1),(42,1),(48,1)}
       46:{1,2,3,5,6}:{(41,1),(43,1),(48,1)}
       47:{1,3,4,6}:{(42,1),(43,1),(44,1),(48,1)}
       48:{1,2,4,6}:{(45,1),(46,1),(47,1)}

3079 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3080 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(17,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(17,1),(28,1)}
       13:{1,2,3,4,5}:{(18,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(20,1),(21,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(16,1),(23,1)}
       18:{1,2,3,4,6}:{(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(24,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       21:{2,3,4,6,7}:{(15,1),(16,1),(23,1),(27,1)}
       22:{1,3,4,5,6,7}:{(17,1),(28,1)}
       23:{2,3,5,6,7}:{(17,1),(21,1),(28,1),(29,1)}
       24:{1,2,3,5,6}:{(18,1),(19,1),(30,1)}
       25:{1,2,3,4,7}:{(18,1),(30,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(30,1),(31,1)}
       27:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(31,1)}
       28:{2,4,5,6,7}:{(22,1),(23,1),(32,1)}
       29:{1,3,5,6,7}:{(23,1),(27,1),(32,1),(33,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(33,1),(34,1)}
       32:{1,4,5,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(31,1)}
       34:{1,2,3,6,7}:{(30,1),(31,1)}

3081 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,5,6,7}:{(13,1),(24,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(25,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(25,1),(26,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(25,1),(27,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(27,1),(28,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(28,1),(29,1)}
       25:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(30,1)}
       26:{1,2,3,6,7}:{(21,1),(30,1)}
       27:{1,3,4,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{2,3,5,6,7}:{(23,1),(24,1),(31,1),(32,1)}
       29:{1,4,5,6,7}:{(24,1),(32,1)}
       30:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(33,1)}
       31:{1,3,5,6,7}:{(27,1),(28,1),(33,1),(34,1)}
       32:{2,4,5,6,7}:{(28,1),(29,1),(34,1),(35,1)}
       33:{1,2,5,6,7}:{(30,1),(31,1)}
       34:{1,4,5,6,7}:{(31,1),(32,1)}
       35:{3,4,5,6,7}:{(32,1)}

3082 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3083 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(39,1),(96,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(31,1),(98,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(79,1),(98,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(47,1),(79,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(47,1)}
         6:{2,3,4,6,7}:{(1,1),(19,1),(20,1),(57,1),(86,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(20,1),(21,1),(24,1),(49,1),(89,1),(99,1),(101,1)}
         8:{2,4,5,6}:{(2,1),(21,1),(22,1)}
         9:{1,2,4,5,7}:{(3,1),(21,1),(23,1),(24,1),(27,1),(63,1),(89,1)}
        10:{1,3,5,6}:{(3,1),(22,1),(24,1),(25,1)}
        11:{1,2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(63,1)}
        12:{1,2,4,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,3,4,7}:{(5,1),(27,1),(29,1)}
        14:{1,2,3,5}:{(5,1),(28,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(33,1),(94,1),(103,1)}
        16:{1,2,3,5,6}:{(31,1),(32,1),(33,1),(35,1),(71,1),(94,1)}
        17:{1,2,3,4,6}:{(33,1),(34,1),(35,1),(71,1)}
        18:{3,4,5,6,7}:{(36,1),(95,1)}
        19:{2,3,5,6,7}:{(6,1),(36,1),(37,1)}
        20:{1,3,4,6,7}:{(6,1),(7,1),(37,1),(38,1),(42,1),(66,1),(76,1),(91,1),(95,1)}
        21:{2,4,5,7}:{(7,1),(8,1),(38,1),(39,1)}
        22:{2,3,5,6}:{(8,1),(10,1),(31,1),(39,1),(40,1)}
        23:{1,2,4,6,7}:{(9,1),(38,1),(41,1),(42,1),(76,1)}
        24:{1,3,5,7}:{(9,1),(10,1),(39,1),(42,1),(43,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(40,1),(43,1),(44,1)}
        26:{1,2,3,6,7}:{(11,1),(42,1),(45,1),(47,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1)}
        28:{1,2,4,5}:{(12,1),(14,1),(44,1)}
        29:{1,2,3,5,7}:{(13,1),(14,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(21,1),(48,1),(49,1),(52,1),(83,1),(99,1)}
        31:{1,3,5,6}:{(15,1),(22,1),(49,1),(50,1)}
        32:{1,2,3,5,7}:{(16,1),(49,1),(51,1),(52,1),(83,1)}
        33:{1,2,4,6}:{(16,1),(50,1),(52,1),(53,1)}
        34:{1,2,3,4,7}:{(17,1),(52,1),(54,1)}
        35:{1,2,3,5}:{(17,1),(53,1)}
        36:{2,4,5,6,7}:{(18,1),(19,1),(55,1),(86,1)}
        37:{1,3,5,6,7}:{(19,1),(20,1),(55,1),(56,1),(85,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(56,1),(57,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,3,4,6}:{(22,1),(25,1),(50,1),(58,1),(59,1)}
        41:{1,2,5,6,7}:{(23,1),(56,1),(60,1),(63,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(57,1)}
        43:{1,3,4,7}:{(24,1),(25,1),(27,1),(58,1)}
        44:{1,3,4,5}:{(25,1),(28,1),(59,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(61,1),(63,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(62,1),(63,1),(64,1)}
        47:{1,2,3,6}:{(29,1),(64,1)}
        48:{1,2,4,6,7}:{(30,1),(38,1),(65,1),(66,1),(91,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(39,1),(66,1),(67,1)}
        50:{1,3,4,6}:{(31,1),(33,1),(40,1),(67,1),(68,1)}
        51:{1,2,3,6,7}:{(32,1),(66,1),(69,1),(71,1)}
        52:{1,2,4,7}:{(32,1),(33,1),(67,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(68,1)}
        54:{1,2,3,5,7}:{(34,1),(35,1),(70,1),(71,1)}
        55:{1,4,5,6,7}:{(36,1),(37,1),(72,1),(76,1),(91,1)}
        56:{2,5,6,7}:{(37,1),(38,1)}
        57:{2,3,6,7}:{(38,1),(39,1),(42,1),(66,1)}
        58:{2,3,4,7}:{(39,1),(40,1),(43,1),(67,1)}
        59:{2,3,4,5}:{(40,1),(44,1),(68,1)}
        60:{1,3,5,6,7}:{(41,1),(42,1),(73,1),(76,1),(77,1)}
        61:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(74,1),(76,1),(77,1),(78,1)}
        62:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(75,1),(77,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(77,1),(79,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(78,1),(79,1)}
        65:{1,2,5,6,7}:{(48,1),(56,1),(80,1),(83,1)}
        66:{1,3,6,7}:{(48,1),(49,1),(57,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(52,1),(58,1)}
        68:{1,3,4,5}:{(50,1),(53,1),(59,1)}
        69:{1,2,4,6,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        70:{1,2,4,5,7}:{(52,1),(53,1),(54,1),(82,1),(83,1),(84,1)}
        71:{1,2,3,6}:{(54,1),(84,1)}
        72:{2,4,5,6,7}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,3,5,6,7}:{(56,1),(57,1),(60,1),(80,1),(85,1),(86,1),(87,1)}
        74:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(81,1),(86,1),(87,1),(88,1)}
        75:{2,3,4,5,7}:{(58,1),(59,1),(62,1),(82,1),(87,1),(88,1)}
        76:{1,4,6,7}:{(60,1),(86,1),(89,1)}
        77:{1,3,5,7}:{(61,1),(63,1),(87,1),(89,1),(90,1)}
        78:{1,3,4,6}:{(62,1),(64,1),(88,1),(90,1)}
        79:{1,2,5,6}:{(63,1),(64,1),(90,1)}
        80:{1,3,5,6,7}:{(65,1),(66,1),(73,1),(91,1),(92,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(69,1),(74,1),(91,1),(92,1),(93,1)}
        82:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(92,1),(93,1)}
        83:{1,2,5,7}:{(69,1),(92,1),(94,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(93,1),(94,1)}
        85:{3,5,6,7}:{(72,1),(95,1)}
        86:{2,4,6,7}:{(73,1),(76,1),(91,1),(95,1),(96,1)}
        87:{2,3,5,7}:{(74,1),(77,1),(92,1),(96,1),(97,1)}
        88:{2,3,4,6}:{(75,1),(78,1),(93,1),(97,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(96,1),(98,1)}
        90:{1,3,5,6}:{(77,1),(78,1),(79,1),(97,1),(98,1)}
        91:{1,4,6,7}:{(80,1),(86,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(83,1),(87,1),(99,1),(100,1)}
        93:{1,3,4,6}:{(82,1),(84,1),(88,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(100,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(101,1)}
        96:{2,4,5,7}:{(86,1),(87,1),(89,1),(99,1),(101,1),(102,1)}
        97:{2,3,5,6}:{(87,1),(88,1),(90,1),(100,1),(102,1)}
        98:{1,4,5,6}:{(89,1),(90,1),(102,1)}
        99:{1,4,5,7}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,3,5,6}:{(92,1),(93,1),(94,1),(97,1),(103,1)}
       101:{3,4,5,7}:{(95,1),(96,1),(104,1)}
       102:{2,4,5,6}:{(96,1),(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5,6}:{(99,1),(100,1),(102,1)}
       104:{3,4,5,6}:{(101,1),(102,1)}

3084 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

3085 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3086 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(24,1),(40,1),(84,1),(123,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(38,1),(58,1)}
         2:{1,2,3,4,6,7}:{(5,1),(17,1),(19,1),(45,1),(53,1),(96,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(79,1),(123,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(23,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(31,1),(65,1)}
         6:{1,3,4,5,7}:{(3,1),(12,1),(13,1),(38,1),(101,1),(136,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
         8:{1,2,3,5,6,7}:{(4,1),(15,1),(38,1),(78,1),(103,1),(139,1),(146,1)}
         9:{1,2,4,5,7}:{(5,1),(16,1),(17,1),(48,1),(96,1)}
        10:{1,2,3,5,6}:{(5,1),(17,1),(44,1)}
        11:{1,2,3,4,7}:{(19,1),(20,1),(96,1)}
        12:{2,3,4,5,7}:{(6,1),(21,1),(22,1),(56,1),(89,1),(129,1)}
        13:{1,3,4,6}:{(6,1),(7,1),(22,1),(23,1)}
        14:{1,2,4,5,6}:{(7,1),(23,1),(25,1),(50,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(24,1),(25,1),(98,1),(123,1)}
        16:{1,3,4,5,7}:{(9,1),(27,1),(28,1),(65,1),(69,1),(117,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(28,1)}
        18:{1,2,3,5,6,7}:{(10,1),(30,1),(65,1),(71,1),(110,1),(120,1),(142,1)}
        19:{1,2,3,4,6}:{(11,1),(31,1),(34,1),(70,1)}
        20:{1,2,3,5,7}:{(11,1),(31,1),(33,1),(34,1)}
        21:{1,3,4,5,7}:{(12,1),(33,1),(35,1),(69,1),(77,1),(117,1)}
        22:{2,3,4,6}:{(12,1),(13,1),(35,1),(36,1)}
        23:{1,3,5,6}:{(13,1),(14,1),(36,1),(38,1)}
        24:{1,3,4,6,7}:{(13,1),(15,1),(37,1),(38,1),(136,1),(146,1)}
        25:{1,2,4,5,7}:{(14,1),(15,1),(38,1),(73,1)}
        26:{1,2,3,4,7}:{(40,1),(41,1),(123,1)}
        27:{2,3,4,5,7}:{(16,1),(42,1),(43,1),(87,1),(89,1),(129,1)}
        28:{1,3,4,6}:{(16,1),(17,1),(43,1),(44,1)}
        29:{1,2,4,5,6}:{(17,1),(44,1),(46,1),(81,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(45,1),(46,1),(96,1),(125,1)}
        31:{1,2,3,5}:{(19,1),(48,1)}
        32:{1,3,4,5,6}:{(23,1),(50,1),(51,1)}
        33:{1,2,4,5,7}:{(20,1),(21,1),(48,1),(52,1),(96,1),(99,1)}
        34:{1,2,3,6}:{(20,1),(52,1)}
        35:{1,3,4,6}:{(21,1),(22,1),(52,1),(54,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(50,1),(54,1),(56,1)}
        37:{2,3,4,6,7}:{(22,1),(24,1),(55,1),(56,1),(98,1),(129,1),(145,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(25,1),(56,1)}
        39:{1,2,4,5,6,7}:{(25,1),(57,1),(93,1),(98,1),(132,1),(144,1)}
        40:{1,2,3,4,6}:{(26,1),(58,1),(61,1),(102,1)}
        41:{1,2,3,5,7}:{(26,1),(58,1),(60,1),(61,1)}
        42:{1,3,4,5,7}:{(27,1),(60,1),(62,1),(101,1),(109,1),(136,1)}
        43:{2,3,4,6}:{(27,1),(28,1),(62,1),(63,1)}
        44:{1,3,5,6}:{(28,1),(29,1),(63,1),(65,1)}
        45:{1,3,4,6,7}:{(28,1),(30,1),(64,1),(65,1),(117,1),(142,1)}
        46:{1,2,4,5,7}:{(29,1),(30,1),(65,1),(105,1)}
        47:{1,3,4,5,6,7}:{(68,1),(74,1),(106,1),(115,1)}
        48:{1,2,4,5}:{(31,1),(69,1),(70,1)}
        49:{1,2,3,5,6}:{(31,1),(34,1),(70,1),(71,1),(75,1),(116,1)}
        50:{2,4,5,6}:{(32,1),(36,1),(72,1),(73,1)}
        51:{1,3,4,5,7}:{(32,1),(38,1),(73,1),(74,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(75,1)}
        53:{1,2,3,6,7}:{(34,1),(71,1),(76,1),(142,1)}
        54:{1,3,5,6}:{(35,1),(36,1),(72,1),(75,1),(77,1)}
        55:{1,3,4,6,7}:{(35,1),(37,1),(76,1),(77,1),(117,1),(119,1),(142,1)}
        56:{2,3,5,7}:{(36,1),(37,1),(38,1),(73,1),(77,1)}
        57:{1,3,5,6,7}:{(38,1),(39,1),(74,1),(78,1),(146,1)}
        58:{1,2,3,5}:{(40,1),(79,1)}
        59:{1,3,4,5,6}:{(44,1),(81,1),(82,1)}
        60:{1,2,4,5,7}:{(41,1),(42,1),(79,1),(83,1),(123,1),(126,1)}
        61:{1,2,3,6}:{(41,1),(83,1)}
        62:{1,3,4,6}:{(42,1),(43,1),(83,1),(85,1)}
        63:{2,3,5,6}:{(43,1),(44,1),(81,1),(85,1),(87,1)}
        64:{2,3,4,6,7}:{(43,1),(45,1),(86,1),(87,1),(125,1),(129,1),(145,1)}
        65:{1,3,5,7}:{(44,1),(45,1),(46,1),(87,1)}
        66:{1,2,4,5,6,7}:{(46,1),(88,1),(93,1),(125,1),(132,1),(134,1)}
        67:{2,3,4,5,6}:{(50,1),(81,1),(90,1),(91,1),(128,1)}
        68:{2,4,5,6,7}:{(47,1),(92,1),(93,1),(98,1),(125,1),(132,1)}
        69:{1,3,4,5}:{(48,1),(89,1),(94,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(94,1),(96,1)}
        71:{1,2,3,5,7}:{(49,1),(53,1),(96,1),(99,1),(133,1)}
        72:{1,4,5,6}:{(50,1),(54,1),(97,1)}
        73:{2,4,5,7}:{(50,1),(51,1),(56,1),(97,1),(98,1)}
        74:{1,3,4,6,7}:{(51,1),(57,1),(98,1)}
        75:{1,2,5,6}:{(52,1),(54,1),(99,1)}
        76:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(96,1),(99,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(56,1),(97,1),(99,1)}
        78:{2,3,5,6,7}:{(56,1),(57,1),(98,1),(100,1),(132,1),(145,1)}
        79:{1,2,4,5}:{(58,1),(101,1),(102,1)}
        80:{1,2,3,5,6}:{(58,1),(61,1),(102,1),(103,1),(107,1),(135,1)}
        81:{2,4,5,6}:{(59,1),(63,1),(104,1),(105,1)}
        82:{1,3,4,5,7}:{(59,1),(65,1),(105,1),(106,1)}
        83:{1,2,4,6}:{(60,1),(61,1),(62,1),(107,1)}
        84:{1,2,3,6,7}:{(61,1),(103,1),(108,1),(146,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(104,1),(107,1),(109,1)}
        86:{1,3,4,6,7}:{(62,1),(64,1),(108,1),(109,1),(136,1),(138,1),(146,1)}
        87:{2,3,5,7}:{(63,1),(64,1),(65,1),(105,1),(109,1)}
        88:{1,3,5,6,7}:{(65,1),(66,1),(106,1),(110,1),(142,1)}
        89:{2,3,4,5}:{(69,1),(101,1),(111,1)}
        90:{1,3,4,5,6}:{(67,1),(72,1),(104,1),(112,1),(113,1),(116,1),(135,1)}
        91:{2,3,4,5,7}:{(67,1),(73,1),(105,1),(113,1),(114,1),(140,1)}
        92:{2,3,5,6,7}:{(68,1),(114,1),(115,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1),(138,1)}
        94:{1,3,4,6}:{(69,1),(70,1),(111,1),(116,1),(117,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(75,1),(112,1),(116,1),(118,1)}
        96:{1,2,4,7}:{(70,1),(71,1),(117,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(77,1),(119,1)}
        98:{2,4,6,7}:{(73,1),(74,1),(78,1),(119,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1)}
       100:{1,3,5,6,7}:{(77,1),(78,1),(119,1),(120,1),(142,1)}
       101:{1,3,4,5}:{(79,1),(89,1),(121,1)}
       102:{1,2,4,6}:{(79,1),(80,1),(121,1),(123,1)}
       103:{1,2,3,5,7}:{(80,1),(84,1),(123,1),(126,1),(143,1)}
       104:{1,4,5,6}:{(81,1),(85,1),(124,1)}
       105:{2,4,5,7}:{(81,1),(82,1),(87,1),(124,1),(125,1)}
       106:{1,3,4,6,7}:{(82,1),(88,1),(125,1)}
       107:{1,2,5,6}:{(83,1),(85,1),(126,1)}
       108:{1,2,4,6,7}:{(83,1),(84,1),(86,1),(123,1),(126,1)}
       109:{1,3,5,7}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       110:{2,3,5,6,7}:{(87,1),(88,1),(125,1),(127,1),(132,1),(145,1)}
       111:{2,3,4,6}:{(89,1),(94,1),(121,1),(128,1),(129,1)}
       112:{2,4,5,6}:{(90,1),(128,1),(130,1)}
       113:{1,3,4,5,7}:{(90,1),(91,1),(97,1),(124,1),(130,1),(131,1),(133,1),(143,1)}
       114:{2,3,4,6,7}:{(91,1),(92,1),(98,1),(125,1),(131,1),(145,1)}
       115:{1,3,5,6,7}:{(92,1),(93,1),(131,1),(132,1)}
       116:{1,3,5,6}:{(94,1),(95,1),(128,1),(133,1)}
       117:{1,3,4,7}:{(94,1),(96,1),(129,1),(133,1)}
       118:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(99,1),(130,1),(133,1),(134,1)}
       119:{1,4,6,7}:{(97,1),(98,1),(100,1)}
       120:{1,2,5,6,7}:{(99,1),(100,1),(132,1),(134,1)}
       121:{1,3,4,6}:{(101,1),(102,1),(111,1),(135,1),(136,1)}
       122:{1,2,4,5,6}:{(102,1),(104,1),(107,1),(112,1),(135,1),(137,1)}
       123:{1,2,4,7}:{(102,1),(103,1),(136,1)}
       124:{1,4,5,7}:{(104,1),(105,1),(109,1),(138,1)}
       125:{2,4,6,7}:{(105,1),(106,1),(110,1),(138,1)}
       126:{1,2,5,7}:{(107,1),(108,1),(109,1)}
       127:{1,3,5,6,7}:{(109,1),(110,1),(138,1),(139,1),(146,1)}
       128:{2,3,5,6}:{(111,1),(112,1),(116,1),(135,1),(140,1)}
       129:{2,3,4,7}:{(111,1),(117,1),(136,1),(140,1)}
       130:{2,4,5,7}:{(112,1),(113,1),(140,1),(141,1)}
       131:{1,3,4,6,7}:{(113,1),(114,1),(115,1),(119,1),(138,1),(141,1),(142,1),(146,1)}
       132:{2,5,6,7}:{(115,1),(141,1)}
       133:{1,3,5,7}:{(116,1),(117,1),(118,1),(140,1),(142,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(141,1),(142,1)}
       135:{1,3,5,6}:{(121,1),(122,1),(128,1),(143,1)}
       136:{1,3,4,7}:{(121,1),(123,1),(129,1),(143,1)}
       137:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(143,1),(144,1)}
       138:{1,4,6,7}:{(124,1),(125,1),(127,1)}
       139:{1,2,5,6,7}:{(126,1),(127,1),(132,1),(144,1)}
       140:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(143,1),(145,1)}
       141:{2,4,6,7}:{(130,1),(131,1),(132,1),(145,1)}
       142:{1,3,6,7}:{(133,1),(134,1),(145,1)}
       143:{1,3,5,7}:{(135,1),(136,1),(137,1),(140,1),(146,1)}
       144:{1,2,4,6,7}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       145:{2,3,6,7}:{(140,1),(141,1),(142,1),(146,1)}
       146:{1,3,6,7}:{(143,1),(144,1),(145,1)}

3087 :   0:{1,2,3,4,6,7}:{(1,1),(7,1),(25,1),(84,1),(125,1),(144,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(36,1),(105,1)}
         2:{1,2,3,4,6,7}:{(5,1),(17,1),(46,1),(53,1),(100,1),(132,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(122,1),(144,1)}
         4:{1,2,3,5,6}:{(1,1),(7,1),(21,1)}
         5:{1,2,3,5,7}:{(2,1),(9,1),(10,1),(63,1),(75,1)}
         6:{1,3,4,5,7}:{(3,1),(13,1),(14,1),(36,1),(133,1),(146,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1)}
         8:{1,2,3,5,6,7}:{(4,1),(15,1),(34,1),(36,1),(104,1),(136,1),(138,1)}
         9:{1,2,4,5,7}:{(5,1),(16,1),(17,1),(97,1),(132,1)}
        10:{1,2,3,5,6}:{(5,1),(17,1),(42,1)}
        11:{1,2,4,5,6,7}:{(20,1),(22,1),(48,1),(51,1),(93,1),(121,1)}
        12:{1,2,4,5,6}:{(7,1),(21,1),(22,1),(49,1)}
        13:{2,3,4,5,7}:{(6,1),(23,1),(24,1),(55,1),(126,1),(145,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(21,1),(24,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(22,1),(25,1),(51,1),(144,1)}
        16:{1,3,4,5,7}:{(9,1),(28,1),(29,1),(63,1),(113,1),(141,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(29,1)}
        18:{1,2,3,5,6,7}:{(10,1),(30,1),(61,1),(63,1),(74,1),(116,1),(118,1)}
        19:{1,3,4,5,6,7}:{(31,1),(33,1),(60,1),(70,1)}
        20:{1,3,5,6,7}:{(11,1),(33,1),(34,1),(36,1),(136,1)}
        21:{1,3,5,6}:{(12,1),(14,1),(35,1),(36,1)}
        22:{1,2,4,5,7}:{(12,1),(15,1),(36,1),(72,1)}
        23:{1,3,4,5,7}:{(13,1),(38,1),(39,1),(77,1),(113,1),(141,1)}
        24:{2,3,4,6}:{(13,1),(14,1),(35,1),(39,1)}
        25:{1,3,4,6,7}:{(14,1),(15,1),(36,1),(40,1),(136,1),(146,1)}
        26:{1,2,4,5,6,7}:{(41,1),(43,1),(48,1),(82,1),(93,1),(96,1)}
        27:{1,2,4,5,6}:{(17,1),(42,1),(43,1),(80,1)}
        28:{2,3,4,5,7}:{(16,1),(44,1),(45,1),(86,1),(126,1),(145,1)}
        29:{1,3,4,6}:{(16,1),(17,1),(42,1),(45,1)}
        30:{1,2,4,6,7}:{(17,1),(18,1),(43,1),(46,1),(82,1),(132,1)}
        31:{2,4,5,6,7}:{(19,1),(47,1),(48,1),(51,1),(82,1),(93,1)}
        32:{1,3,4,5,6}:{(21,1),(49,1),(50,1)}
        33:{1,3,4,6,7}:{(20,1),(50,1),(51,1)}
        34:{2,3,5,6,7}:{(20,1),(51,1),(52,1),(55,1),(93,1),(129,1)}
        35:{2,3,5,6}:{(21,1),(24,1),(49,1),(54,1),(55,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(25,1),(55,1)}
        37:{1,2,3,4,7}:{(53,1),(56,1),(132,1)}
        38:{1,2,4,5,7}:{(23,1),(56,1),(57,1),(97,1),(99,1),(132,1)}
        39:{1,3,4,6}:{(23,1),(24,1),(54,1),(57,1)}
        40:{2,3,4,6,7}:{(24,1),(25,1),(51,1),(55,1),(58,1),(129,1),(145,1)}
        41:{1,3,5,6,7}:{(26,1),(60,1),(61,1),(63,1),(116,1)}
        42:{1,3,5,6}:{(27,1),(29,1),(62,1),(63,1)}
        43:{1,2,4,5,7}:{(27,1),(30,1),(63,1),(102,1)}
        44:{1,3,4,5,7}:{(28,1),(65,1),(66,1),(107,1),(133,1),(146,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(62,1),(66,1)}
        46:{1,3,4,6,7}:{(29,1),(30,1),(63,1),(67,1),(116,1),(141,1)}
        47:{2,3,5,6,7}:{(31,1),(69,1),(70,1)}
        48:{1,4,5,6,7}:{(31,1),(70,1),(73,1),(103,1)}
        49:{2,4,5,6}:{(32,1),(35,1),(71,1),(72,1)}
        50:{1,3,4,5,7}:{(32,1),(33,1),(36,1),(72,1)}
        51:{2,4,6,7}:{(33,1),(34,1),(72,1),(73,1)}
        52:{1,3,5,6,7}:{(34,1),(73,1),(74,1),(77,1),(116,1)}
        53:{1,2,3,4,6}:{(37,1),(75,1),(78,1),(117,1)}
        54:{1,3,5,6}:{(35,1),(39,1),(71,1),(76,1),(77,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(40,1),(72,1),(77,1)}
        56:{1,2,3,5,7}:{(37,1),(38,1),(75,1),(78,1)}
        57:{1,2,4,6}:{(38,1),(39,1),(76,1),(78,1)}
        58:{1,3,4,6,7}:{(39,1),(40,1),(73,1),(77,1),(79,1),(116,1),(141,1)}
        59:{1,3,4,5,6}:{(42,1),(80,1),(81,1)}
        60:{1,3,4,6,7}:{(41,1),(81,1),(82,1)}
        61:{2,3,5,6,7}:{(41,1),(82,1),(83,1),(86,1),(93,1),(129,1)}
        62:{2,3,5,6}:{(42,1),(45,1),(80,1),(85,1),(86,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(46,1),(86,1)}
        64:{1,2,3,4,7}:{(84,1),(87,1),(144,1)}
        65:{1,2,4,5,7}:{(44,1),(87,1),(88,1),(122,1),(124,1),(144,1)}
        66:{1,3,4,6}:{(44,1),(45,1),(85,1),(88,1)}
        67:{2,3,4,6,7}:{(45,1),(46,1),(82,1),(86,1),(89,1),(129,1),(145,1)}
        68:{2,3,4,5,6}:{(49,1),(80,1),(90,1),(91,1),(127,1)}
        69:{2,3,4,6,7}:{(47,1),(51,1),(82,1),(91,1),(92,1),(129,1)}
        70:{1,3,5,6,7}:{(47,1),(48,1),(92,1),(93,1)}
        71:{1,4,5,6}:{(49,1),(54,1),(95,1)}
        72:{2,4,5,7}:{(49,1),(50,1),(51,1),(55,1),(95,1)}
        73:{1,4,6,7}:{(51,1),(52,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(93,1),(96,1),(99,1)}
        75:{1,2,3,5}:{(53,1),(97,1)}
        76:{1,2,5,6}:{(54,1),(57,1),(99,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(58,1),(95,1),(99,1)}
        78:{1,2,3,6}:{(56,1),(57,1)}
        79:{1,2,4,6,7}:{(57,1),(58,1),(99,1),(100,1),(132,1)}
        80:{2,4,5,6}:{(59,1),(62,1),(101,1),(102,1)}
        81:{1,3,4,5,7}:{(59,1),(60,1),(63,1),(102,1)}
        82:{2,4,6,7}:{(60,1),(61,1),(102,1),(103,1)}
        83:{1,3,5,6,7}:{(61,1),(103,1),(104,1),(107,1),(136,1)}
        84:{1,2,3,4,6}:{(64,1),(105,1),(108,1),(137,1)}
        85:{1,3,5,6}:{(62,1),(66,1),(101,1),(106,1),(107,1)}
        86:{2,3,5,7}:{(62,1),(63,1),(67,1),(102,1),(107,1)}
        87:{1,2,3,5,7}:{(64,1),(65,1),(105,1),(108,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(106,1),(108,1)}
        89:{1,3,4,6,7}:{(66,1),(67,1),(103,1),(107,1),(109,1),(136,1),(146,1)}
        90:{1,3,4,5,6}:{(68,1),(71,1),(101,1),(110,1),(111,1),(114,1),(134,1)}
        91:{2,3,4,5,7}:{(68,1),(69,1),(72,1),(102,1),(111,1),(140,1)}
        92:{1,3,4,6,7}:{(69,1),(70,1),(73,1),(103,1),(111,1),(112,1),(116,1),(136,1)}
        93:{2,5,6,7}:{(70,1),(112,1)}
        94:{1,2,4,5,6}:{(71,1),(76,1),(110,1),(114,1),(115,1),(117,1)}
        95:{1,4,5,7}:{(71,1),(72,1),(73,1),(77,1)}
        96:{1,2,4,6,7}:{(73,1),(74,1),(112,1),(115,1),(116,1)}
        97:{1,2,4,5}:{(75,1),(113,1),(117,1)}
        98:{1,2,3,5,6}:{(75,1),(76,1),(78,1),(114,1),(117,1),(118,1)}
        99:{1,2,5,7}:{(76,1),(77,1),(79,1)}
       100:{1,2,3,6,7}:{(78,1),(79,1),(116,1),(118,1)}
       101:{1,4,5,6}:{(80,1),(85,1),(120,1)}
       102:{2,4,5,7}:{(80,1),(81,1),(82,1),(86,1),(120,1)}
       103:{1,4,6,7}:{(82,1),(83,1),(120,1)}
       104:{1,2,5,6,7}:{(83,1),(93,1),(121,1),(124,1)}
       105:{1,2,3,5}:{(84,1),(122,1)}
       106:{1,2,5,6}:{(85,1),(88,1),(124,1)}
       107:{1,3,5,7}:{(85,1),(86,1),(89,1),(120,1),(124,1)}
       108:{1,2,3,6}:{(87,1),(88,1)}
       109:{1,2,4,6,7}:{(88,1),(89,1),(124,1),(125,1),(144,1)}
       110:{2,4,5,6}:{(90,1),(127,1),(128,1)}
       111:{1,3,4,5,7}:{(90,1),(91,1),(92,1),(95,1),(120,1),(128,1),(131,1),(143,1)}
       112:{2,4,6,7}:{(92,1),(93,1),(128,1),(129,1)}
       113:{1,3,4,5}:{(97,1),(126,1),(130,1)}
       114:{1,3,5,6}:{(94,1),(127,1),(130,1),(131,1)}
       115:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(128,1),(131,1),(132,1)}
       116:{1,3,6,7}:{(96,1),(129,1),(131,1)}
       117:{1,2,4,6}:{(97,1),(98,1),(130,1),(132,1)}
       118:{1,2,3,5,7}:{(98,1),(99,1),(100,1),(131,1),(132,1)}
       119:{1,2,4,5,6}:{(101,1),(106,1),(110,1),(134,1),(135,1),(137,1)}
       120:{1,4,5,7}:{(101,1),(102,1),(103,1),(107,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(112,1),(135,1),(136,1)}
       122:{1,2,4,5}:{(105,1),(133,1),(137,1)}
       123:{1,2,3,5,6}:{(105,1),(106,1),(108,1),(134,1),(137,1),(138,1)}
       124:{1,2,5,7}:{(106,1),(107,1),(109,1)}
       125:{1,2,3,6,7}:{(108,1),(109,1),(136,1),(138,1)}
       126:{2,3,4,5}:{(113,1),(133,1),(139,1)}
       127:{2,3,5,6}:{(110,1),(114,1),(134,1),(139,1),(140,1)}
       128:{2,4,5,7}:{(110,1),(111,1),(112,1),(140,1)}
       129:{2,3,6,7}:{(112,1),(116,1),(136,1),(140,1)}
       130:{1,3,4,6}:{(113,1),(114,1),(117,1),(139,1),(141,1)}
       131:{1,3,5,7}:{(114,1),(115,1),(116,1),(140,1),(141,1)}
       132:{1,2,4,7}:{(117,1),(118,1),(141,1)}
       133:{1,3,4,5}:{(122,1),(126,1),(142,1)}
       134:{1,3,5,6}:{(119,1),(127,1),(142,1),(143,1)}
       135:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(124,1),(128,1),(143,1),(144,1)}
       136:{1,3,6,7}:{(121,1),(129,1),(143,1)}
       137:{1,2,4,6}:{(122,1),(123,1),(142,1),(144,1)}
       138:{1,2,3,5,7}:{(123,1),(124,1),(125,1),(143,1),(144,1)}
       139:{2,3,4,6}:{(126,1),(127,1),(130,1),(142,1),(145,1)}
       140:{2,3,5,7}:{(127,1),(128,1),(129,1),(131,1),(143,1),(145,1)}
       141:{1,3,4,7}:{(130,1),(131,1),(132,1),(145,1)}
       142:{1,3,4,6}:{(133,1),(134,1),(137,1),(139,1),(146,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(140,1),(146,1)}
       144:{1,2,4,7}:{(137,1),(138,1),(146,1)}
       145:{2,3,4,7}:{(139,1),(140,1),(141,1),(146,1)}
       146:{1,3,4,7}:{(142,1),(143,1),(144,1),(145,1)}

3088 :   0:{1,2,3,4,6,7}:{(2,1),(13,1),(14,1),(104,1),(131,1),(132,1)}
         1:{1,2,3,5,6,7}:{(5,1),(6,1),(22,1),(24,1),(83,1),(117,1),(119,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(24,1),(140,1)}
         3:{1,2,3,4,6,7}:{(9,1),(30,1),(31,1),(77,1),(113,1),(114,1)}
         4:{1,2,4,5,6,7}:{(11,1),(12,1),(34,1),(36,1),(71,1),(101,1)}
         5:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(131,1)}
         6:{1,2,3,5,6}:{(2,1),(14,1),(38,1)}
         7:{1,2,4,5,7}:{(2,1),(14,1),(15,1),(131,1),(144,1)}
         8:{1,2,3,5,6,7}:{(17,1),(18,1),(44,1),(46,1),(55,1),(94,1),(96,1)}
         9:{1,2,3,5,7}:{(3,1),(18,1),(19,1),(46,1),(127,1)}
        10:{1,3,4,5,6,7}:{(20,1),(21,1),(43,1),(51,1)}
        11:{1,3,5,6,7}:{(4,1),(21,1),(22,1),(24,1),(117,1)}
        12:{1,2,4,5,7}:{(5,1),(23,1),(24,1),(53,1)}
        13:{1,3,4,6,7}:{(5,1),(24,1),(25,1),(26,1),(117,1),(138,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(26,1)}
        15:{1,3,4,5,7}:{(7,1),(24,1),(26,1),(27,1),(138,1),(146,1)}
        16:{1,2,4,5,6,7}:{(28,1),(29,1),(34,1),(62,1),(71,1),(74,1)}
        17:{1,2,4,6,7}:{(8,1),(29,1),(30,1),(31,1),(62,1),(113,1)}
        18:{1,2,3,5,6}:{(9,1),(31,1),(64,1)}
        19:{1,2,4,5,7}:{(9,1),(31,1),(32,1),(113,1),(136,1)}
        20:{2,4,5,6,7}:{(10,1),(33,1),(34,1),(36,1),(62,1),(71,1)}
        21:{1,3,4,6,7}:{(11,1),(35,1),(36,1)}
        22:{2,3,5,6,7}:{(11,1),(36,1),(37,1),(39,1),(71,1),(109,1)}
        23:{1,2,4,5,6}:{(12,1),(14,1),(38,1),(72,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(38,1),(39,1)}
        25:{2,3,4,6,7}:{(13,1),(36,1),(39,1),(40,1),(41,1),(109,1),(134,1)}
        26:{1,3,4,6}:{(14,1),(15,1),(38,1),(41,1)}
        27:{2,3,4,5,7}:{(15,1),(39,1),(41,1),(42,1),(134,1),(145,1)}
        28:{1,3,5,6,7}:{(16,1),(43,1),(44,1),(46,1),(94,1)}
        29:{1,2,4,5,7}:{(17,1),(45,1),(46,1),(81,1)}
        30:{1,3,4,6,7}:{(17,1),(46,1),(47,1),(48,1),(94,1),(125,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(48,1)}
        32:{1,3,4,5,7}:{(19,1),(46,1),(48,1),(49,1),(125,1),(142,1)}
        33:{2,3,5,6,7}:{(20,1),(50,1),(51,1)}
        34:{1,4,5,6,7}:{(20,1),(51,1),(54,1),(82,1)}
        35:{1,3,4,5,7}:{(21,1),(24,1),(52,1),(53,1)}
        36:{2,4,6,7}:{(21,1),(22,1),(53,1),(54,1)}
        37:{1,3,5,6,7}:{(22,1),(54,1),(55,1),(57,1),(94,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(26,1),(56,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(53,1),(56,1),(57,1)}
        40:{1,3,4,6,7}:{(25,1),(54,1),(57,1),(58,1),(59,1),(94,1),(125,1)}
        41:{2,3,4,6}:{(26,1),(27,1),(56,1),(59,1)}
        42:{1,3,4,5,7}:{(27,1),(57,1),(59,1),(60,1),(125,1),(142,1)}
        43:{1,3,4,6,7}:{(28,1),(61,1),(62,1)}
        44:{2,3,5,6,7}:{(28,1),(62,1),(63,1),(65,1),(71,1),(109,1)}
        45:{1,2,4,5,6}:{(29,1),(31,1),(64,1),(99,1)}
        46:{1,3,5,7}:{(29,1),(30,1),(64,1),(65,1)}
        47:{2,3,4,6,7}:{(30,1),(62,1),(65,1),(66,1),(67,1),(109,1),(134,1)}
        48:{1,3,4,6}:{(31,1),(32,1),(64,1),(67,1)}
        49:{2,3,4,5,7}:{(32,1),(65,1),(67,1),(68,1),(134,1),(145,1)}
        50:{2,3,4,6,7}:{(33,1),(36,1),(62,1),(69,1),(70,1),(109,1)}
        51:{1,3,5,6,7}:{(33,1),(34,1),(70,1),(71,1)}
        52:{1,3,4,5,6}:{(35,1),(38,1),(72,1)}
        53:{2,4,5,7}:{(35,1),(36,1),(39,1),(72,1),(73,1)}
        54:{1,4,6,7}:{(36,1),(37,1),(73,1)}
        55:{1,2,5,6,7}:{(37,1),(71,1),(74,1),(76,1)}
        56:{2,3,5,6}:{(38,1),(39,1),(41,1),(72,1),(75,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(73,1),(75,1),(76,1)}
        58:{1,2,4,6,7}:{(40,1),(76,1),(77,1),(78,1),(113,1)}
        59:{1,3,4,6}:{(41,1),(42,1),(75,1),(78,1)}
        60:{1,2,4,5,7}:{(42,1),(76,1),(78,1),(79,1),(113,1),(136,1)}
        61:{1,3,4,5,7}:{(43,1),(46,1),(80,1),(81,1)}
        62:{2,4,6,7}:{(43,1),(44,1),(81,1),(82,1)}
        63:{1,3,5,6,7}:{(44,1),(82,1),(83,1),(85,1),(117,1)}
        64:{1,3,5,6}:{(45,1),(46,1),(48,1),(84,1)}
        65:{2,3,5,7}:{(46,1),(47,1),(81,1),(84,1),(85,1)}
        66:{1,3,4,6,7}:{(47,1),(82,1),(85,1),(86,1),(87,1),(117,1),(138,1)}
        67:{2,3,4,6}:{(48,1),(49,1),(84,1),(87,1)}
        68:{1,3,4,5,7}:{(49,1),(85,1),(87,1),(88,1),(138,1),(146,1)}
        69:{2,3,4,5,7}:{(50,1),(53,1),(81,1),(89,1),(90,1),(123,1)}
        70:{1,3,4,6,7}:{(50,1),(51,1),(54,1),(82,1),(90,1),(91,1),(94,1),(117,1)}
        71:{2,5,6,7}:{(51,1),(91,1)}
        72:{2,4,5,6}:{(52,1),(53,1),(56,1),(92,1)}
        73:{1,4,5,7}:{(53,1),(54,1),(57,1),(92,1)}
        74:{1,2,4,6,7}:{(54,1),(55,1),(91,1),(93,1),(94,1)}
        75:{1,3,5,6}:{(56,1),(57,1),(59,1),(92,1),(95,1)}
        76:{1,2,5,7}:{(57,1),(58,1),(95,1)}
        77:{1,2,3,6,7}:{(58,1),(94,1),(96,1),(97,1)}
        78:{1,2,4,6}:{(59,1),(60,1),(95,1),(97,1)}
        79:{1,2,3,5,7}:{(60,1),(97,1),(98,1),(127,1)}
        80:{1,3,4,5,6}:{(61,1),(64,1),(99,1)}
        81:{2,4,5,7}:{(61,1),(62,1),(65,1),(99,1),(100,1)}
        82:{1,4,6,7}:{(62,1),(63,1),(100,1)}
        83:{1,2,5,6,7}:{(63,1),(71,1),(101,1),(103,1)}
        84:{2,3,5,6}:{(64,1),(65,1),(67,1),(99,1),(102,1)}
        85:{1,3,5,7}:{(65,1),(66,1),(100,1),(102,1),(103,1)}
        86:{1,2,4,6,7}:{(66,1),(103,1),(104,1),(105,1),(131,1)}
        87:{1,3,4,6}:{(67,1),(68,1),(102,1),(105,1)}
        88:{1,2,4,5,7}:{(68,1),(103,1),(105,1),(106,1),(131,1),(144,1)}
        89:{2,3,4,5,6}:{(69,1),(72,1),(99,1),(107,1),(133,1)}
        90:{1,3,4,5,7}:{(69,1),(70,1),(73,1),(100,1),(107,1),(108,1),(111,1),(129,1)}
        91:{2,4,6,7}:{(70,1),(71,1),(108,1),(109,1)}
        92:{1,4,5,6}:{(72,1),(73,1),(75,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(76,1),(108,1),(110,1),(111,1),(113,1)}
        94:{1,3,6,7}:{(74,1),(109,1),(111,1)}
        95:{1,2,5,6}:{(75,1),(76,1),(78,1)}
        96:{1,2,3,5,7}:{(76,1),(77,1),(111,1),(112,1),(113,1)}
        97:{1,2,3,6}:{(78,1),(79,1)}
        98:{1,2,3,4,7}:{(79,1),(113,1),(114,1)}
        99:{2,4,5,6}:{(80,1),(81,1),(84,1),(115,1)}
       100:{1,4,5,7}:{(81,1),(82,1),(85,1),(115,1)}
       101:{1,2,4,6,7}:{(82,1),(83,1),(91,1),(116,1),(117,1)}
       102:{1,3,5,6}:{(84,1),(85,1),(87,1),(115,1),(118,1)}
       103:{1,2,5,7}:{(85,1),(86,1),(118,1)}
       104:{1,2,3,6,7}:{(86,1),(117,1),(119,1),(120,1)}
       105:{1,2,4,6}:{(87,1),(88,1),(118,1),(120,1)}
       106:{1,2,3,5,7}:{(88,1),(120,1),(121,1),(140,1)}
       107:{1,3,4,5,6}:{(89,1),(90,1),(92,1),(115,1),(122,1),(124,1),(137,1)}
       108:{2,4,5,7}:{(90,1),(91,1),(122,1),(123,1)}
       109:{2,3,6,7}:{(91,1),(94,1),(117,1),(123,1)}
       110:{1,2,4,5,6}:{(92,1),(93,1),(95,1),(122,1),(124,1),(126,1)}
       111:{1,3,5,7}:{(93,1),(94,1),(123,1),(124,1),(125,1)}
       112:{1,2,3,5,6}:{(95,1),(96,1),(97,1),(124,1),(126,1),(127,1)}
       113:{1,2,4,7}:{(96,1),(125,1),(126,1)}
       114:{1,2,3,4,6}:{(97,1),(98,1),(126,1),(127,1)}
       115:{1,4,5,6}:{(99,1),(100,1),(102,1)}
       116:{1,2,4,5,7}:{(100,1),(101,1),(103,1),(108,1),(128,1),(129,1),(131,1)}
       117:{1,3,6,7}:{(101,1),(109,1),(129,1)}
       118:{1,2,5,6}:{(102,1),(103,1),(105,1)}
       119:{1,2,3,5,7}:{(103,1),(104,1),(129,1),(130,1),(131,1)}
       120:{1,2,3,6}:{(105,1),(106,1)}
       121:{1,2,3,4,7}:{(106,1),(131,1),(132,1)}
       122:{2,4,5,6}:{(107,1),(108,1),(133,1)}
       123:{2,3,5,7}:{(108,1),(109,1),(111,1),(129,1),(133,1),(134,1)}
       124:{1,3,5,6}:{(110,1),(111,1),(133,1),(135,1)}
       125:{1,3,4,7}:{(111,1),(113,1),(134,1),(135,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(135,1),(136,1)}
       127:{1,2,3,5}:{(114,1),(136,1)}
       128:{1,2,4,5,6}:{(115,1),(116,1),(118,1),(122,1),(137,1),(139,1)}
       129:{1,3,5,7}:{(116,1),(117,1),(123,1),(137,1),(138,1)}
       130:{1,2,3,5,6}:{(118,1),(119,1),(120,1),(137,1),(139,1),(140,1)}
       131:{1,2,4,7}:{(119,1),(138,1),(139,1)}
       132:{1,2,3,4,6}:{(120,1),(121,1),(139,1),(140,1)}
       133:{2,3,5,6}:{(122,1),(123,1),(124,1),(137,1),(141,1)}
       134:{2,3,4,7}:{(123,1),(125,1),(138,1),(141,1)}
       135:{1,3,4,6}:{(124,1),(125,1),(126,1),(141,1),(142,1)}
       136:{1,2,4,5}:{(126,1),(127,1),(142,1)}
       137:{1,3,5,6}:{(128,1),(129,1),(133,1),(143,1)}
       138:{1,3,4,7}:{(129,1),(131,1),(134,1),(143,1)}
       139:{1,2,4,6}:{(130,1),(131,1),(143,1),(144,1)}
       140:{1,2,3,5}:{(132,1),(144,1)}
       141:{2,3,4,6}:{(133,1),(134,1),(135,1),(143,1),(145,1)}
       142:{1,3,4,5}:{(135,1),(136,1),(145,1)}
       143:{1,3,4,6}:{(137,1),(138,1),(139,1),(141,1),(146,1)}
       144:{1,2,4,5}:{(139,1),(140,1),(146,1)}
       145:{2,3,4,5}:{(141,1),(142,1),(146,1)}
       146:{1,3,4,5}:{(143,1),(144,1),(145,1)}

3089 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

3090 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,7}:{(1,1),(7,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1),(12,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,6,7}:{(7,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,5,6,7}:{(17,1),(27,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1),(35,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}
       35:{3,4,5,6,7}:{(33,1)}

3091 :   0:{1,2,3,4,6}:{(2,1),(3,1),(20,1),(21,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(31,1),(93,1)}
         2:{1,2,3,4,7}:{(0,1),(8,1),(39,1)}
         3:{1,2,3,5}:{(0,1),(9,1)}
         4:{1,2,3,4,6}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5,6}:{(1,1),(14,1),(15,1),(17,1),(41,1),(85,1),(97,1),(100,1)}
         6:{2,3,4,5,7}:{(1,1),(13,1),(15,1),(52,1),(102,1)}
         7:{1,2,4,5,6}:{(14,1),(17,1),(18,1),(21,1),(57,1),(85,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1)}
         9:{1,2,4,5}:{(3,1),(16,1),(21,1)}
        10:{1,2,3,5,6}:{(3,1),(17,1),(20,1),(21,1),(22,1),(57,1)}
        11:{1,2,3,4,7}:{(4,1),(24,1),(65,1)}
        12:{1,2,3,5}:{(4,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(28,1),(29,1),(69,1),(94,1)}
        14:{2,4,5,6}:{(5,1),(31,1),(32,1)}
        15:{1,3,4,5,7}:{(5,1),(6,1),(29,1),(32,1),(36,1),(62,1),(96,1),(103,1),(104,1)}
        16:{1,3,4,5}:{(9,1),(30,1),(35,1)}
        17:{1,3,5,6}:{(7,1),(31,1),(35,1),(36,1)}
        18:{1,2,4,5,7}:{(7,1),(32,1),(34,1),(36,1),(39,1),(74,1),(96,1)}
        19:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(37,1),(39,1),(74,1)}
        20:{1,2,3,6}:{(8,1),(37,1)}
        21:{1,2,4,6}:{(9,1),(10,1),(35,1),(39,1)}
        22:{1,2,3,5,7}:{(10,1),(36,1),(38,1),(39,1),(74,1)}
        23:{1,2,4,5,6}:{(14,1),(41,1),(42,1),(45,1),(79,1),(97,1)}
        24:{1,2,3,5,7}:{(11,1),(12,1),(43,1),(44,1)}
        25:{1,2,4,5}:{(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(79,1)}
        27:{3,4,5,6,7}:{(47,1),(101,1)}
        28:{2,3,5,6,7}:{(13,1),(47,1),(48,1)}
        29:{1,3,4,6,7}:{(13,1),(15,1),(48,1),(50,1),(55,1),(77,1),(86,1),(98,1),(101,1)}
        30:{2,3,4,5}:{(16,1),(40,1),(51,1)}
        31:{2,3,5,6}:{(14,1),(17,1),(41,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(50,1),(52,1)}
        33:{1,3,4,5,7}:{(16,1),(19,1),(49,1),(54,1),(56,1),(87,1)}
        34:{1,2,4,6,7}:{(18,1),(50,1),(53,1),(55,1),(86,1)}
        35:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(56,1)}
        36:{1,3,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(54,1),(57,1)}
        38:{1,2,3,6,7}:{(20,1),(22,1),(55,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(56,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(61,1)}
        41:{1,3,5,6}:{(23,1),(31,1),(61,1),(62,1)}
        42:{1,2,4,5,7}:{(23,1),(32,1),(60,1),(62,1),(65,1),(91,1),(103,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(59,1),(63,1),(65,1),(91,1)}
        44:{1,2,3,6}:{(24,1),(63,1)}
        45:{1,2,4,6}:{(25,1),(26,1),(61,1),(65,1)}
        46:{1,2,3,5,7}:{(26,1),(62,1),(64,1),(65,1),(91,1)}
        47:{2,4,5,6,7}:{(27,1),(28,1),(66,1),(94,1)}
        48:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(92,1)}
        49:{2,3,4,5,7}:{(30,1),(33,1),(59,1),(68,1),(70,1),(95,1)}
        50:{2,4,6,7}:{(29,1),(32,1),(67,1),(69,1)}
        51:{2,3,4,6}:{(30,1),(31,1),(35,1),(61,1),(70,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(62,1),(69,1),(70,1)}
        53:{1,2,5,6,7}:{(34,1),(67,1),(71,1),(74,1)}
        54:{1,3,4,6}:{(33,1),(37,1),(68,1),(72,1)}
        55:{1,3,6,7}:{(34,1),(36,1),(69,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(39,1),(70,1)}
        57:{1,2,5,6}:{(37,1),(72,1),(74,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(73,1),(74,1)}
        59:{1,3,4,5,7}:{(40,1),(43,1),(49,1),(76,1),(78,1),(99,1)}
        60:{1,2,4,6,7}:{(42,1),(50,1),(75,1),(77,1),(98,1)}
        61:{1,3,4,6}:{(40,1),(41,1),(45,1),(51,1),(78,1)}
        62:{1,3,5,7}:{(41,1),(42,1),(52,1),(77,1),(78,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(76,1),(79,1)}
        64:{1,2,3,6,7}:{(44,1),(46,1),(77,1),(80,1)}
        65:{1,2,4,7}:{(45,1),(46,1),(78,1)}
        66:{1,4,5,6,7}:{(47,1),(48,1),(81,1),(86,1),(98,1)}
        67:{2,5,6,7}:{(48,1),(50,1)}
        68:{2,3,4,6}:{(49,1),(54,1),(76,1),(83,1)}
        69:{2,3,6,7}:{(50,1),(52,1),(55,1),(77,1)}
        70:{2,3,4,7}:{(51,1),(52,1),(56,1),(78,1)}
        71:{1,3,5,6,7}:{(53,1),(55,1),(82,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(54,1),(57,1),(83,1),(85,1),(87,1)}
        73:{1,3,4,6,7}:{(54,1),(55,1),(56,1),(58,1),(84,1),(86,1),(87,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(87,1)}
        75:{1,2,5,6,7}:{(60,1),(67,1),(88,1),(91,1)}
        76:{1,3,4,6}:{(59,1),(63,1),(68,1),(89,1)}
        77:{1,3,6,7}:{(60,1),(62,1),(69,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(65,1),(70,1)}
        79:{1,2,5,6}:{(63,1),(89,1),(91,1)}
        80:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(90,1),(91,1)}
        81:{2,4,5,6,7}:{(66,1),(67,1),(92,1),(94,1)}
        82:{2,3,5,6,7}:{(67,1),(69,1),(71,1),(88,1),(92,1),(94,1),(95,1)}
        83:{2,3,5,6}:{(68,1),(72,1),(89,1),(93,1),(95,1)}
        84:{2,3,4,6,7}:{(68,1),(69,1),(70,1),(73,1),(90,1),(94,1),(95,1)}
        85:{1,4,5,6}:{(72,1),(93,1),(96,1)}
        86:{1,4,6,7}:{(71,1),(94,1),(96,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6,7}:{(75,1),(77,1),(82,1),(98,1),(99,1)}
        89:{1,3,5,6}:{(76,1),(79,1),(83,1),(97,1),(99,1)}
        90:{1,3,4,6,7}:{(76,1),(77,1),(78,1),(80,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,7}:{(79,1),(80,1),(99,1)}
        92:{3,5,6,7}:{(81,1),(101,1)}
        93:{2,4,5,6}:{(83,1),(85,1),(97,1),(100,1),(102,1)}
        94:{2,4,6,7}:{(82,1),(86,1),(98,1),(101,1),(102,1)}
        95:{2,3,5,7}:{(83,1),(84,1),(87,1),(99,1),(102,1)}
        96:{1,4,5,7}:{(85,1),(86,1),(87,1),(102,1)}
        97:{1,4,5,6}:{(89,1),(93,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(94,1),(103,1)}
        99:{1,3,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       100:{3,4,5,6}:{(93,1),(104,1)}
       101:{3,4,6,7}:{(92,1),(94,1),(104,1)}
       102:{2,4,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1),(104,1)}
       103:{1,4,5,7}:{(97,1),(98,1),(99,1),(102,1)}
       104:{3,4,5,7}:{(100,1),(101,1),(102,1)}

3092 :   0:{1,2,3,4,6}:{(1,1),(2,1),(11,1),(13,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(26,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{1,2,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(10,1),(11,1)}
         5:{1,2,4,5}:{(2,1),(12,1),(13,1)}
         6:{1,2,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(38,1),(40,1)}
         7:{1,2,3,4,7}:{(3,1),(15,1),(48,1)}
         8:{1,2,3,5}:{(3,1),(16,1)}
         9:{2,3,4,5,6}:{(19,1),(20,1),(52,1),(83,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(26,1),(58,1)}
        11:{1,2,3,6}:{(4,1),(22,1)}
        12:{1,3,4,5}:{(5,1),(18,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(24,1),(26,1)}
        14:{1,2,3,5,7}:{(6,1),(23,1),(26,1),(58,1),(59,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        16:{1,2,4,5}:{(8,1),(29,1),(30,1)}
        17:{1,2,3,5,6}:{(8,1),(28,1),(30,1),(31,1),(62,1),(64,1)}
        18:{2,3,4,5}:{(12,1),(29,1),(33,1)}
        19:{1,3,4,5,6}:{(9,1),(34,1),(35,1),(40,1),(64,1),(73,1),(89,1),(93,1)}
        20:{2,3,4,5,7}:{(9,1),(35,1),(36,1),(71,1),(95,1)}
        21:{1,3,4,5,7}:{(10,1),(12,1),(32,1),(37,1),(41,1),(74,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(37,1),(38,1)}
        23:{1,2,3,6,7}:{(11,1),(14,1),(39,1),(76,1)}
        24:{1,3,4,6}:{(12,1),(13,1),(33,1),(40,1),(41,1)}
        25:{1,2,4,5,6}:{(13,1),(34,1),(38,1),(40,1),(42,1),(73,1)}
        26:{1,2,4,7}:{(13,1),(14,1),(41,1)}
        27:{1,2,4,5,7}:{(15,1),(16,1),(43,1),(44,1),(48,1),(79,1)}
        28:{1,2,3,6}:{(15,1),(44,1)}
        29:{1,3,4,5}:{(16,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(46,1),(48,1)}
        31:{1,2,3,5,7}:{(17,1),(45,1),(48,1),(79,1),(80,1)}
        32:{2,3,4,5,7}:{(18,1),(21,1),(43,1),(50,1),(53,1),(84,1)}
        33:{2,3,4,6}:{(18,1),(24,1),(46,1),(52,1),(53,1)}
        34:{2,4,5,6}:{(19,1),(52,1),(54,1)}
        35:{1,3,4,5,7}:{(19,1),(20,1),(54,1),(55,1),(59,1),(80,1),(87,1),(98,1),(100,1)}
        36:{2,3,4,6,7}:{(20,1),(51,1),(55,1),(86,1),(102,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(50,1),(56,1)}
        38:{1,2,5,6}:{(22,1),(56,1),(58,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(26,1),(57,1),(58,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(52,1),(59,1)}
        41:{1,3,4,7}:{(24,1),(26,1),(53,1),(59,1)}
        42:{1,2,4,5,7}:{(25,1),(26,1),(54,1),(58,1),(59,1),(60,1),(87,1)}
        43:{1,3,4,5,7}:{(27,1),(29,1),(32,1),(61,1),(65,1),(90,1)}
        44:{1,2,4,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,2,3,6,7}:{(28,1),(31,1),(63,1),(92,1)}
        46:{1,3,4,6}:{(29,1),(30,1),(33,1),(64,1),(65,1)}
        47:{1,2,4,5,6}:{(30,1),(34,1),(62,1),(64,1),(66,1),(89,1)}
        48:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        49:{3,4,5,6,7}:{(67,1),(104,1)}
        50:{2,3,4,6}:{(32,1),(37,1),(61,1),(68,1)}
        51:{2,3,5,6,7}:{(36,1),(67,1),(70,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(40,1),(64,1),(71,1)}
        53:{2,3,4,7}:{(33,1),(41,1),(65,1),(71,1)}
        54:{2,4,5,7}:{(34,1),(35,1),(71,1),(72,1)}
        55:{1,3,4,6,7}:{(35,1),(36,1),(70,1),(72,1),(76,1),(92,1),(97,1),(103,1),(104,1)}
        56:{1,3,5,6}:{(37,1),(38,1),(68,1),(73,1),(74,1)}
        57:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(69,1),(74,1),(76,1),(97,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(42,1),(71,1),(76,1)}
        60:{1,2,4,6,7}:{(42,1),(72,1),(75,1),(76,1),(97,1)}
        61:{1,3,4,6}:{(43,1),(44,1),(50,1),(77,1)}
        62:{1,2,5,6}:{(44,1),(77,1),(79,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(78,1),(79,1)}
        64:{1,3,5,6}:{(46,1),(47,1),(52,1),(80,1)}
        65:{1,3,4,7}:{(46,1),(48,1),(53,1),(80,1)}
        66:{1,2,4,5,7}:{(47,1),(48,1),(54,1),(79,1),(80,1),(81,1),(98,1)}
        67:{2,4,5,6,7}:{(49,1),(51,1),(82,1),(102,1)}
        68:{2,3,5,6}:{(50,1),(56,1),(77,1),(83,1),(84,1)}
        69:{2,3,4,6,7}:{(50,1),(53,1),(57,1),(78,1),(84,1),(86,1),(102,1)}
        70:{1,3,5,6,7}:{(51,1),(55,1),(82,1),(85,1),(101,1)}
        71:{2,3,5,7}:{(52,1),(53,1),(54,1),(59,1),(80,1),(86,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(85,1),(86,1)}
        73:{1,4,5,6}:{(56,1),(83,1),(87,1)}
        74:{1,3,5,7}:{(56,1),(57,1),(58,1),(84,1),(87,1)}
        75:{1,2,5,6,7}:{(58,1),(60,1),(85,1),(88,1)}
        76:{1,3,6,7}:{(59,1),(60,1),(86,1)}
        77:{1,3,5,6}:{(61,1),(62,1),(68,1),(89,1),(90,1)}
        78:{1,3,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(90,1),(92,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(66,1),(71,1),(92,1)}
        81:{1,2,4,6,7}:{(66,1),(72,1),(91,1),(92,1),(103,1)}
        82:{1,4,5,6,7}:{(67,1),(70,1),(94,1),(97,1),(103,1)}
        83:{2,4,5,6}:{(68,1),(73,1),(89,1),(93,1),(95,1)}
        84:{2,3,5,7}:{(68,1),(69,1),(74,1),(90,1),(95,1)}
        85:{2,5,6,7}:{(70,1),(72,1)}
        86:{2,3,6,7}:{(71,1),(72,1),(76,1),(92,1)}
        87:{1,4,5,7}:{(73,1),(74,1),(95,1),(97,1)}
        88:{1,3,5,6,7}:{(74,1),(75,1),(76,1),(96,1),(97,1)}
        89:{1,4,5,6}:{(77,1),(83,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(79,1),(84,1),(98,1)}
        91:{1,2,5,6,7}:{(79,1),(81,1),(85,1),(99,1)}
        92:{1,3,6,7}:{(80,1),(81,1),(86,1)}
        93:{3,4,5,6}:{(83,1),(100,1)}
        94:{2,4,5,6,7}:{(82,1),(85,1),(101,1),(102,1)}
        95:{2,4,5,7}:{(83,1),(84,1),(87,1),(98,1),(100,1),(102,1)}
        96:{2,3,5,6,7}:{(84,1),(85,1),(86,1),(88,1),(99,1),(101,1),(102,1)}
        97:{1,4,6,7}:{(87,1),(88,1),(102,1)}
        98:{1,4,5,7}:{(89,1),(90,1),(95,1),(103,1)}
        99:{1,3,5,6,7}:{(90,1),(91,1),(92,1),(96,1),(103,1)}
       100:{3,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{3,5,6,7}:{(94,1),(104,1)}
       102:{2,4,6,7}:{(95,1),(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,6,7}:{(98,1),(99,1),(102,1)}
       104:{3,4,6,7}:{(100,1),(101,1),(102,1)}

3093 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3094 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(17,1),(36,1),(68,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(27,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(31,1),(68,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(47,1),(84,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(49,1),(56,1),(87,1),(102,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(68,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(39,1),(41,1),(62,1),(74,1),(92,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(33,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(68,1),(70,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(48,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(47,1),(55,1),(84,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(84,1),(102,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(51,1)}
        19:{1,3,4,5,6,7}:{(30,1),(52,1),(61,1)}
        20:{1,2,3,5}:{(12,1),(31,1)}
        21:{1,3,4,5,6}:{(16,1),(33,1),(34,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(31,1),(35,1),(68,1),(71,1)}
        23:{1,2,3,6}:{(13,1),(35,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(35,1),(37,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(39,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(38,1),(39,1),(70,1),(74,1),(92,1),(98,1),(104,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(39,1)}
        28:{1,2,4,5,6,7}:{(18,1),(40,1),(45,1),(70,1),(77,1),(95,1),(97,1),(103,1)}
        29:{2,3,4,5,6}:{(33,1),(42,1),(43,1),(91,1)}
        30:{2,4,5,6,7}:{(19,1),(44,1),(45,1),(70,1),(77,1)}
        31:{1,2,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(49,1),(53,1),(83,1)}
        33:{2,4,5,6}:{(21,1),(25,1),(50,1),(51,1)}
        34:{1,3,4,5,7}:{(21,1),(27,1),(51,1),(52,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(24,1),(53,1)}
        36:{1,2,3,6,7}:{(23,1),(49,1),(54,1),(102,1)}
        37:{1,3,5,6}:{(24,1),(25,1),(50,1),(53,1),(55,1)}
        38:{1,3,4,6,7}:{(24,1),(26,1),(54,1),(55,1),(84,1),(86,1),(102,1)}
        39:{2,3,5,7}:{(25,1),(26,1),(27,1),(51,1),(55,1)}
        40:{1,3,5,6,7}:{(27,1),(28,1),(52,1),(56,1),(102,1)}
        41:{2,3,4,5}:{(47,1),(57,1)}
        42:{1,3,4,5,6}:{(29,1),(50,1),(58,1),(59,1),(83,1)}
        43:{2,3,4,5,7}:{(29,1),(51,1),(59,1),(60,1),(100,1)}
        44:{2,3,5,6,7}:{(30,1),(60,1),(61,1)}
        45:{1,4,5,6,7}:{(30,1),(61,1),(86,1)}
        46:{2,3,4,5,6}:{(33,1),(63,1),(64,1),(73,1)}
        47:{1,3,4,5}:{(31,1),(41,1),(62,1),(66,1)}
        48:{1,2,4,6}:{(31,1),(32,1),(66,1),(68,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(68,1),(71,1),(96,1)}
        50:{1,4,5,6}:{(33,1),(37,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(34,1),(39,1),(69,1),(70,1)}
        52:{1,3,4,6,7}:{(34,1),(40,1),(70,1)}
        53:{1,2,5,6}:{(35,1),(37,1),(71,1)}
        54:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(68,1),(71,1)}
        55:{1,3,5,7}:{(37,1),(38,1),(39,1),(69,1),(71,1)}
        56:{2,3,5,6,7}:{(39,1),(40,1),(70,1),(72,1),(77,1),(98,1),(103,1),(104,1)}
        57:{2,3,4,6}:{(41,1),(66,1),(73,1),(74,1)}
        58:{2,4,5,6}:{(42,1),(73,1),(75,1)}
        59:{1,3,4,5,7}:{(42,1),(43,1),(69,1),(75,1),(76,1),(96,1)}
        60:{2,3,4,6,7}:{(43,1),(44,1),(70,1),(76,1),(104,1)}
        61:{1,3,5,6,7}:{(44,1),(45,1),(76,1),(77,1)}
        62:{2,3,4,5}:{(47,1),(78,1)}
        63:{1,3,4,5,6}:{(46,1),(50,1),(79,1),(80,1),(83,1)}
        64:{2,3,4,5,7}:{(46,1),(51,1),(80,1),(81,1),(88,1)}
        65:{1,3,4,5,6,7}:{(52,1),(82,1),(99,1)}
        66:{1,3,4,6}:{(47,1),(48,1),(57,1),(78,1),(83,1),(84,1)}
        67:{1,2,4,5,6}:{(48,1),(50,1),(53,1),(58,1),(79,1),(83,1),(85,1)}
        68:{1,2,4,7}:{(48,1),(49,1),(84,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(55,1),(86,1)}
        70:{2,4,6,7}:{(51,1),(52,1),(56,1),(86,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1)}
        72:{1,3,5,6,7}:{(55,1),(56,1),(86,1),(87,1),(102,1)}
        73:{2,3,5,6}:{(57,1),(58,1),(83,1),(88,1)}
        74:{2,3,4,7}:{(57,1),(84,1),(88,1)}
        75:{2,4,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,4,6,7}:{(59,1),(60,1),(61,1),(86,1),(89,1),(102,1)}
        77:{2,5,6,7}:{(61,1),(89,1)}
        78:{2,3,4,6}:{(62,1),(66,1),(91,1),(92,1)}
        79:{2,4,5,6}:{(63,1),(91,1),(93,1)}
        80:{1,3,4,5,7}:{(63,1),(64,1),(69,1),(93,1),(94,1),(96,1)}
        81:{2,3,4,6,7}:{(64,1),(70,1),(90,1),(94,1),(98,1)}
        82:{2,4,5,6,7}:{(65,1),(70,1),(90,1),(95,1),(103,1)}
        83:{1,3,5,6}:{(66,1),(67,1),(73,1),(91,1),(96,1)}
        84:{1,3,4,7}:{(66,1),(68,1),(74,1),(92,1),(96,1)}
        85:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(71,1),(75,1),(93,1),(96,1),(97,1)}
        86:{1,4,6,7}:{(69,1),(70,1),(72,1)}
        87:{1,2,5,6,7}:{(71,1),(72,1),(77,1),(97,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(75,1),(96,1),(98,1)}
        89:{2,4,6,7}:{(75,1),(76,1),(77,1),(98,1)}
        90:{2,3,5,6,7}:{(81,1),(82,1),(99,1)}
        91:{2,3,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{2,3,4,7}:{(78,1),(84,1),(100,1)}
        93:{2,4,5,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,3,4,6,7}:{(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        95:{1,4,5,6,7}:{(82,1),(86,1),(99,1)}
        96:{1,3,5,7}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1)}
        97:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(89,1),(101,1),(102,1)}
        98:{2,3,6,7}:{(88,1),(89,1),(102,1)}
        99:{1,3,5,6,7}:{(90,1),(94,1),(95,1),(103,1)}
       100:{2,3,5,7}:{(91,1),(92,1),(93,1),(96,1),(104,1)}
       101:{2,4,6,7}:{(93,1),(94,1),(103,1),(104,1)}
       102:{1,3,6,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{2,5,6,7}:{(99,1),(101,1)}
       104:{2,3,6,7}:{(100,1),(101,1),(102,1)}

3095 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(16,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(31,1)}
         2:{1,2,3,5}:{(0,1),(6,1)}
         3:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(81,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{3,4,5,6,7}:{(14,1),(102,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,3,5,6}:{(2,1),(12,1),(16,1),(17,1),(38,1),(46,1)}
         8:{2,3,4,5}:{(15,1),(18,1)}
         9:{1,3,4,5,6}:{(3,1),(19,1),(20,1),(43,1),(46,1),(70,1)}
        10:{2,3,4,5,7}:{(3,1),(20,1),(21,1),(77,1),(92,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(31,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{2,3,4,5,7}:{(8,1),(22,1),(25,1),(33,1),(57,1)}
        14:{2,4,5,6,7}:{(5,1),(26,1),(27,1),(99,1)}
        15:{1,3,4,5}:{(6,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1)}
        17:{1,2,3,5,7}:{(7,1),(24,1),(31,1),(55,1),(64,1)}
        18:{2,3,4,6}:{(8,1),(29,1),(32,1),(33,1)}
        19:{2,4,5,6}:{(9,1),(32,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(34,1),(35,1),(59,1),(64,1),(83,1)}
        21:{2,3,4,6,7}:{(10,1),(26,1),(35,1),(88,1),(99,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(15,1),(36,1),(37,1),(47,1),(71,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(17,1),(39,1),(79,1)}
        25:{2,3,4,6}:{(13,1),(37,1),(40,1)}
        26:{2,3,5,6,7}:{(14,1),(21,1),(42,1)}
        27:{1,4,5,6,7}:{(14,1),(42,1),(44,1),(94,1)}
        28:{2,3,4,5}:{(15,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(18,1),(45,1),(46,1),(47,1)}
        30:{1,2,4,5,6}:{(16,1),(19,1),(38,1),(46,1),(48,1),(70,1),(76,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(47,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(46,1),(50,1)}
        33:{2,3,4,7}:{(18,1),(47,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,4,6,7}:{(20,1),(21,1),(42,1),(51,1),(75,1),(79,1),(94,1)}
        36:{2,3,4,5,7}:{(22,1),(28,1),(52,1),(62,1),(82,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(25,1),(52,1),(53,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(31,1),(54,1),(55,1)}
        40:{2,3,5,6}:{(25,1),(53,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(25,1),(33,1),(54,1),(57,1),(67,1),(85,1)}
        42:{1,3,5,6,7}:{(26,1),(27,1),(35,1),(58,1),(60,1)}
        43:{3,4,5,6}:{(56,1),(59,1)}
        44:{2,4,5,6,7}:{(27,1),(58,1),(60,1),(85,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(64,1)}
        47:{1,3,4,7}:{(29,1),(31,1),(33,1),(62,1),(64,1)}
        48:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(55,1),(64,1),(65,1),(83,1),(87,1)}
        49:{2,3,4,5,6}:{(32,1),(56,1),(63,1),(66,1)}
        50:{2,3,5,7}:{(32,1),(33,1),(34,1),(64,1),(67,1)}
        51:{2,4,6,7}:{(34,1),(35,1),(58,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(47,1),(69,1),(71,1),(79,1),(94,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{2,4,5,6}:{(40,1),(43,1),(70,1),(73,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(71,1),(73,1)}
        58:{2,5,6,7}:{(42,1),(51,1)}
        59:{3,4,5,7}:{(43,1),(73,1),(75,1)}
        60:{3,5,6,7}:{(44,1),(75,1)}
        61:{2,3,5,6}:{(45,1),(46,1),(76,1),(77,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(77,1)}
        63:{1,3,4,5,6}:{(46,1),(49,1),(70,1),(76,1),(78,1),(91,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        65:{1,2,4,6,7}:{(48,1),(51,1),(72,1),(79,1),(94,1),(96,1)}
        66:{2,3,4,5,7}:{(49,1),(50,1),(73,1),(78,1),(80,1)}
        67:{2,3,6,7}:{(50,1),(51,1),(79,1)}
        68:{2,3,5,6}:{(52,1),(53,1),(81,1),(82,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(62,1),(82,1),(88,1),(99,1)}
        70:{1,4,5,6}:{(53,1),(56,1),(81,1),(83,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(57,1),(82,1),(83,1)}
        72:{1,2,5,6,7}:{(55,1),(58,1),(65,1),(84,1),(101,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(59,1),(83,1),(85,1)}
        74:{2,3,5,6,7}:{(57,1),(58,1),(60,1),(67,1),(84,1),(85,1)}
        75:{3,4,6,7}:{(59,1),(60,1),(85,1)}
        76:{2,4,5,6}:{(61,1),(63,1),(87,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(87,1),(88,1)}
        78:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(83,1),(87,1),(89,1),(98,1)}
        79:{1,3,6,7}:{(64,1),(65,1),(67,1),(88,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(85,1),(89,1),(90,1)}
        81:{2,4,5,6}:{(68,1),(70,1),(91,1),(92,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(92,1)}
        83:{1,4,5,7}:{(70,1),(71,1),(73,1),(92,1),(94,1)}
        84:{1,3,5,6,7}:{(71,1),(72,1),(74,1),(79,1),(93,1),(94,1)}
        85:{2,4,6,7}:{(73,1),(74,1),(75,1),(94,1)}
        86:{3,4,5,6,7}:{(75,1),(95,1)}
        87:{2,4,5,7}:{(76,1),(77,1),(78,1),(96,1)}
        88:{2,3,6,7}:{(77,1),(79,1),(96,1)}
        89:{1,3,4,6,7}:{(78,1),(79,1),(80,1),(94,1),(96,1),(97,1),(102,1)}
        90:{2,3,5,6,7}:{(80,1),(95,1),(97,1)}
        91:{3,4,5,6}:{(81,1),(98,1)}
        92:{2,4,5,7}:{(81,1),(82,1),(83,1),(98,1),(99,1)}
        93:{2,3,5,6,7}:{(82,1),(84,1),(88,1),(99,1),(101,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(90,1),(100,1)}
        96:{2,4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{1,3,5,6,7}:{(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{3,4,5,7}:{(91,1),(92,1),(102,1)}
        99:{2,4,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       100:{1,4,5,6,7}:{(94,1),(95,1),(97,1),(103,1)}
       101:{2,5,6,7}:{(96,1),(97,1)}
       102:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       103:{2,4,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3096 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(31,1),(67,1),(95,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(47,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(64,1),(95,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(20,1),(78,1),(102,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(10,1),(20,1),(46,1),(81,1),(83,1),(101,1)}
         7:{1,2,4,5,6}:{(5,1),(11,1),(12,1),(28,1)}
         8:{2,3,4,5,7}:{(4,1),(13,1),(14,1),(33,1),(69,1),(88,1),(97,1),(104,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(11,1),(14,1)}
        10:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(15,1),(60,1),(95,1)}
        11:{1,3,5,6}:{(7,1),(9,1),(19,1),(20,1)}
        12:{1,2,4,5,7}:{(7,1),(10,1),(20,1),(45,1)}
        13:{1,3,4,5,7}:{(8,1),(22,1),(23,1),(49,1),(78,1),(102,1)}
        14:{2,3,4,6}:{(8,1),(9,1),(19,1),(23,1)}
        15:{1,3,4,6,7}:{(9,1),(10,1),(20,1),(24,1),(101,1),(102,1)}
        16:{1,3,4,5,6,7}:{(26,1),(43,1),(55,1)}
        17:{1,3,4,5,6}:{(11,1),(28,1),(29,1)}
        18:{1,2,4,5,6,7}:{(12,1),(30,1),(40,1),(59,1),(60,1),(72,1),(91,1),(92,1)}
        19:{2,3,5,6}:{(11,1),(14,1),(28,1),(32,1),(33,1)}
        20:{1,3,5,7}:{(11,1),(12,1),(15,1),(33,1)}
        21:{1,2,3,4,7}:{(31,1),(34,1),(95,1)}
        22:{1,2,4,5,7}:{(13,1),(34,1),(35,1),(64,1),(66,1),(95,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(32,1),(35,1)}
        24:{2,3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(60,1),(96,1),(97,1),(103,1),(104,1)}
        25:{2,3,4,5,6}:{(28,1),(37,1),(38,1),(89,1)}
        26:{2,4,5,6,7}:{(16,1),(39,1),(40,1),(60,1),(72,1)}
        27:{1,3,4,5,6,7}:{(42,1),(43,1),(76,1)}
        28:{2,4,5,6}:{(17,1),(19,1),(44,1),(45,1)}
        29:{1,3,4,5,7}:{(17,1),(20,1),(43,1),(45,1)}
        30:{1,3,5,6,7}:{(18,1),(20,1),(43,1),(46,1),(101,1)}
        31:{1,2,3,4,6}:{(21,1),(47,1),(50,1),(82,1)}
        32:{1,3,5,6}:{(19,1),(23,1),(44,1),(48,1),(49,1)}
        33:{2,3,5,7}:{(19,1),(20,1),(24,1),(45,1),(49,1)}
        34:{1,2,3,5,7}:{(21,1),(22,1),(47,1),(50,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(48,1),(50,1)}
        36:{1,3,4,6,7}:{(23,1),(24,1),(49,1),(51,1),(77,1),(101,1),(102,1)}
        37:{1,3,4,5,6}:{(25,1),(44,1),(53,1),(54,1),(79,1)}
        38:{2,3,4,5,7}:{(25,1),(45,1),(52,1),(54,1),(100,1)}
        39:{2,3,5,6,7}:{(26,1),(52,1),(55,1)}
        40:{1,4,5,6,7}:{(26,1),(55,1),(77,1)}
        41:{2,3,4,5,6}:{(28,1),(56,1),(57,1),(70,1)}
        42:{2,4,5,6,7}:{(27,1),(58,1),(59,1),(60,1),(91,1)}
        43:{1,3,4,6,7}:{(29,1),(30,1),(60,1)}
        44:{1,4,5,6}:{(28,1),(32,1),(62,1)}
        45:{2,4,5,7}:{(28,1),(29,1),(33,1),(60,1),(62,1)}
        46:{2,3,5,6,7}:{(30,1),(33,1),(60,1),(63,1),(72,1),(91,1),(96,1),(103,1)}
        47:{1,2,3,5}:{(31,1),(64,1)}
        48:{1,2,5,6}:{(32,1),(35,1),(66,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(36,1),(62,1),(66,1)}
        50:{1,2,3,6}:{(34,1),(35,1)}
        51:{1,2,4,6,7}:{(35,1),(36,1),(66,1),(67,1),(95,1)}
        52:{2,3,4,6,7}:{(38,1),(39,1),(60,1),(68,1),(103,1)}
        53:{2,4,5,6}:{(37,1),(70,1),(71,1)}
        54:{1,3,4,5,7}:{(37,1),(38,1),(62,1),(68,1),(71,1),(94,1)}
        55:{1,3,5,6,7}:{(39,1),(40,1),(68,1),(72,1)}
        56:{1,3,4,5,6}:{(41,1),(44,1),(74,1),(75,1),(79,1)}
        57:{2,3,4,5,7}:{(41,1),(45,1),(73,1),(75,1),(86,1)}
        58:{2,3,5,6,7}:{(42,1),(73,1),(76,1)}
        59:{1,4,5,6,7}:{(42,1),(76,1),(77,1)}
        60:{2,4,6,7}:{(43,1),(45,1),(46,1),(77,1)}
        61:{1,2,4,5,6}:{(44,1),(48,1),(53,1),(74,1),(79,1),(80,1),(82,1)}
        62:{1,4,5,7}:{(44,1),(45,1),(49,1),(77,1)}
        63:{1,3,5,6,7}:{(46,1),(49,1),(77,1),(81,1),(101,1)}
        64:{1,2,4,5}:{(47,1),(78,1),(82,1)}
        65:{1,2,3,5,6}:{(47,1),(48,1),(50,1),(79,1),(82,1),(83,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(51,1)}
        67:{1,2,3,6,7}:{(50,1),(51,1),(83,1),(101,1)}
        68:{1,3,4,6,7}:{(52,1),(54,1),(55,1),(77,1),(84,1),(101,1)}
        69:{2,3,4,5}:{(78,1),(85,1)}
        70:{2,3,5,6}:{(53,1),(79,1),(85,1),(86,1)}
        71:{2,4,5,7}:{(53,1),(54,1),(84,1),(86,1)}
        72:{2,5,6,7}:{(55,1),(84,1)}
        73:{2,3,4,6,7}:{(57,1),(58,1),(60,1),(87,1),(96,1)}
        74:{2,4,5,6}:{(56,1),(89,1),(90,1)}
        75:{1,3,4,5,7}:{(56,1),(57,1),(62,1),(87,1),(90,1),(94,1)}
        76:{1,3,5,6,7}:{(58,1),(59,1),(87,1),(91,1)}
        77:{1,4,6,7}:{(60,1),(62,1),(63,1)}
        78:{1,3,4,5}:{(64,1),(69,1),(88,1),(93,1)}
        79:{1,3,5,6}:{(61,1),(70,1),(89,1),(93,1),(94,1)}
        80:{1,2,4,5,7}:{(61,1),(62,1),(66,1),(71,1),(90,1),(92,1),(94,1),(95,1)}
        81:{1,2,5,6,7}:{(63,1),(66,1),(72,1),(91,1),(92,1)}
        82:{1,2,4,6}:{(64,1),(65,1),(93,1),(95,1)}
        83:{1,2,3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        84:{2,4,6,7}:{(68,1),(71,1),(72,1),(96,1)}
        85:{2,3,4,6}:{(69,1),(70,1),(93,1),(97,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(94,1),(96,1),(97,1)}
        87:{1,3,4,6,7}:{(73,1),(75,1),(76,1),(77,1),(98,1),(101,1)}
        88:{2,3,4,5}:{(78,1),(99,1)}
        89:{2,3,5,6}:{(74,1),(79,1),(99,1),(100,1)}
        90:{2,4,5,7}:{(74,1),(75,1),(98,1),(100,1)}
        91:{2,5,6,7}:{(76,1),(98,1)}
        92:{1,2,4,6,7}:{(77,1),(80,1),(81,1),(84,1),(98,1),(101,1)}
        93:{1,3,4,6}:{(78,1),(79,1),(82,1),(85,1),(99,1),(102,1)}
        94:{1,3,5,7}:{(79,1),(80,1),(86,1),(100,1),(101,1),(102,1)}
        95:{1,2,4,7}:{(82,1),(83,1),(102,1)}
        96:{2,3,6,7}:{(84,1),(86,1),(101,1)}
        97:{2,3,4,7}:{(85,1),(86,1),(102,1)}
        98:{2,4,6,7}:{(87,1),(90,1),(91,1),(103,1)}
        99:{2,3,4,6}:{(88,1),(89,1),(93,1),(104,1)}
       100:{2,3,5,7}:{(89,1),(90,1),(94,1),(103,1),(104,1)}
       101:{1,3,6,7}:{(92,1),(94,1),(96,1),(103,1)}
       102:{1,3,4,7}:{(93,1),(94,1),(95,1),(97,1),(104,1)}
       103:{2,3,6,7}:{(98,1),(100,1),(101,1)}
       104:{2,3,4,7}:{(99,1),(100,1),(102,1)}

3097 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(29,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(57,1),(86,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(13,1),(14,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(14,1),(15,1),(43,1),(45,1)}
         7:{2,3,4,5}:{(13,1),(17,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(45,1),(77,1),(81,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(75,1),(97,1)}
        10:{2,3,4,5,6}:{(22,1),(23,1),(33,1),(67,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(63,1)}
        12:{1,2,3,6}:{(4,1),(25,1)}
        13:{1,3,4,5}:{(5,1),(7,1),(21,1),(27,1)}
        14:{1,2,4,6}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,2,3,5,7}:{(6,1),(26,1),(29,1),(63,1),(64,1)}
        16:{2,3,4,5,7}:{(7,1),(24,1),(31,1),(34,1),(68,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1)}
        18:{2,4,5,6}:{(8,1),(33,1),(35,1)}
        19:{1,3,4,5,7}:{(8,1),(9,1),(35,1),(36,1),(64,1),(90,1),(92,1)}
        20:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(89,1),(103,1)}
        21:{2,3,4,5}:{(13,1),(38,1)}
        22:{1,3,4,5,6}:{(10,1),(39,1),(40,1),(45,1),(77,1),(95,1)}
        23:{2,3,4,5,7}:{(10,1),(40,1),(41,1),(52,1),(83,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(16,1),(37,1),(42,1),(46,1),(78,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1)}
        26:{1,2,3,6,7}:{(12,1),(15,1),(44,1),(80,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(17,1),(38,1),(45,1),(46,1)}
        28:{1,2,4,5,6}:{(14,1),(18,1),(39,1),(43,1),(45,1),(47,1),(77,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(46,1)}
        30:{3,4,5,6,7}:{(48,1),(104,1)}
        31:{2,3,4,6}:{(16,1),(42,1),(49,1)}
        32:{2,3,5,6,7}:{(20,1),(48,1),(51,1)}
        33:{2,3,5,6}:{(17,1),(18,1),(45,1),(52,1)}
        34:{2,3,4,7}:{(17,1),(46,1),(52,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(52,1),(53,1)}
        36:{1,3,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(80,1),(99,1),(100,1)}
        37:{2,3,4,5,7}:{(21,1),(24,1),(55,1),(58,1),(87,1)}
        38:{2,3,4,6}:{(21,1),(27,1),(57,1),(58,1)}
        39:{2,4,5,6}:{(22,1),(57,1),(59,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(59,1),(60,1),(64,1),(90,1),(101,1)}
        41:{2,3,4,6,7}:{(23,1),(56,1),(60,1),(70,1),(94,1)}
        42:{1,3,4,6}:{(24,1),(25,1),(31,1),(55,1),(61,1)}
        43:{1,2,5,6}:{(25,1),(61,1),(63,1)}
        44:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(63,1)}
        45:{1,3,5,6}:{(27,1),(28,1),(33,1),(57,1),(64,1)}
        46:{1,3,4,7}:{(27,1),(29,1),(34,1),(58,1),(64,1)}
        47:{1,2,4,5,7}:{(28,1),(29,1),(35,1),(59,1),(63,1),(64,1),(65,1),(90,1)}
        48:{2,4,5,6,7}:{(30,1),(32,1),(66,1),(103,1)}
        49:{2,3,5,6}:{(31,1),(61,1),(67,1),(68,1)}
        50:{2,3,4,6,7}:{(31,1),(34,1),(62,1),(68,1),(70,1),(94,1)}
        51:{1,3,5,6,7}:{(32,1),(36,1),(66,1),(69,1),(93,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(64,1),(70,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(69,1),(70,1)}
        54:{3,4,5,6,7}:{(71,1),(100,1)}
        55:{2,3,4,6}:{(37,1),(42,1),(72,1)}
        56:{2,3,5,6,7}:{(41,1),(71,1),(74,1)}
        57:{2,3,5,6}:{(38,1),(39,1),(45,1),(75,1)}
        58:{2,3,4,7}:{(38,1),(46,1),(75,1)}
        59:{2,4,5,7}:{(39,1),(40,1),(75,1),(76,1)}
        60:{1,3,4,6,7}:{(40,1),(41,1),(74,1),(76,1),(80,1),(99,1),(104,1)}
        61:{1,3,5,6}:{(42,1),(43,1),(49,1),(72,1),(77,1),(78,1)}
        62:{1,3,4,6,7}:{(42,1),(44,1),(46,1),(50,1),(73,1),(78,1),(80,1),(99,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(78,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(47,1),(52,1),(75,1),(80,1)}
        65:{1,2,4,6,7}:{(47,1),(53,1),(76,1),(79,1),(80,1),(99,1)}
        66:{1,4,5,6,7}:{(48,1),(51,1),(82,1),(99,1)}
        67:{2,4,5,6}:{(49,1),(77,1),(81,1),(83,1)}
        68:{2,3,5,7}:{(49,1),(50,1),(78,1),(83,1)}
        69:{2,5,6,7}:{(51,1),(53,1)}
        70:{2,3,6,7}:{(52,1),(53,1),(80,1)}
        71:{2,4,5,6,7}:{(54,1),(56,1),(85,1),(94,1)}
        72:{2,3,5,6}:{(55,1),(61,1),(86,1),(87,1)}
        73:{2,3,4,6,7}:{(55,1),(58,1),(62,1),(87,1),(89,1),(103,1)}
        74:{1,3,5,6,7}:{(56,1),(60,1),(85,1),(88,1),(102,1)}
        75:{2,3,5,7}:{(57,1),(58,1),(59,1),(64,1),(89,1)}
        76:{2,4,6,7}:{(59,1),(60,1),(88,1),(89,1)}
        77:{1,4,5,6}:{(61,1),(67,1),(86,1),(90,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(63,1),(68,1),(87,1),(90,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(69,1),(88,1),(91,1)}
        80:{1,3,6,7}:{(64,1),(65,1),(70,1),(89,1)}
        81:{3,4,5,6}:{(67,1),(92,1)}
        82:{2,4,5,6,7}:{(66,1),(69,1),(93,1),(94,1)}
        83:{2,4,5,7}:{(67,1),(68,1),(90,1),(92,1),(94,1)}
        84:{2,3,5,6,7}:{(68,1),(69,1),(70,1),(91,1),(93,1),(94,1)}
        85:{1,4,5,6,7}:{(71,1),(74,1),(96,1),(99,1)}
        86:{2,4,5,6}:{(72,1),(77,1),(95,1),(97,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(78,1),(97,1)}
        88:{2,5,6,7}:{(74,1),(76,1)}
        89:{2,3,6,7}:{(75,1),(76,1),(80,1)}
        90:{1,4,5,7}:{(77,1),(78,1),(83,1),(97,1),(99,1)}
        91:{1,3,5,6,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(100,1)}
        93:{3,5,6,7}:{(82,1),(100,1)}
        94:{2,4,6,7}:{(83,1),(84,1),(99,1),(100,1)}
        95:{3,4,5,6}:{(86,1),(101,1)}
        96:{2,4,5,6,7}:{(85,1),(88,1),(102,1),(103,1)}
        97:{2,4,5,7}:{(86,1),(87,1),(90,1),(101,1),(103,1)}
        98:{2,3,5,6,7}:{(87,1),(88,1),(89,1),(91,1),(102,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(91,1),(94,1),(103,1)}
       100:{3,4,6,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

3098 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(18,1),(74,1),(75,1),(95,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(27,1),(87,1)}
         2:{1,2,3,5,6}:{(1,1),(5,1),(17,1)}
         3:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(95,1),(96,1)}
         4:{1,2,3,5,6,7}:{(2,1),(10,1),(26,1),(27,1),(56,1),(84,1),(85,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,3,4,5,7}:{(3,1),(11,1),(12,1),(27,1),(101,1),(102,1)}
         7:{1,3,4,5,6,7}:{(13,1),(25,1),(34,1)}
         8:{1,2,4,5,6,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(49,1),(68,1),(71,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(38,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(16,1),(18,1),(39,1),(95,1)}
        11:{1,3,4,6}:{(5,1),(6,1),(17,1),(19,1)}
        12:{2,3,4,5,7}:{(6,1),(19,1),(20,1),(41,1),(97,1),(98,1),(103,1),(104,1)}
        13:{2,4,5,6,7}:{(7,1),(21,1),(22,1),(39,1),(49,1)}
        14:{1,3,4,5,6,7}:{(23,1),(25,1),(52,1)}
        15:{1,3,5,6,7}:{(8,1),(25,1),(26,1),(27,1),(84,1)}
        16:{1,2,4,5,7}:{(9,1),(10,1),(27,1),(53,1)}
        17:{1,3,5,6}:{(9,1),(11,1),(27,1),(28,1)}
        18:{1,3,4,6,7}:{(10,1),(11,1),(27,1),(29,1),(84,1),(101,1)}
        19:{2,3,4,6}:{(11,1),(12,1),(28,1),(30,1)}
        20:{1,3,4,5,7}:{(12,1),(30,1),(31,1),(57,1),(101,1),(102,1)}
        21:{2,3,5,6,7}:{(13,1),(33,1),(34,1)}
        22:{1,4,5,6,7}:{(13,1),(34,1),(55,1)}
        23:{2,4,5,6,7}:{(14,1),(35,1),(36,1),(39,1),(68,1)}
        24:{1,3,4,5,6}:{(17,1),(37,1),(38,1)}
        25:{1,3,4,6,7}:{(15,1),(37,1),(39,1)}
        26:{2,3,5,6,7}:{(15,1),(39,1),(40,1),(41,1),(49,1),(68,1),(78,1),(92,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(41,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(38,1),(41,1),(42,1)}
        29:{2,3,4,6,7}:{(18,1),(19,1),(39,1),(41,1),(43,1),(78,1),(92,1),(97,1),(103,1)}
        30:{1,3,4,6}:{(19,1),(20,1),(42,1),(44,1)}
        31:{1,2,4,5,7}:{(20,1),(44,1),(45,1),(72,1),(95,1),(96,1)}
        32:{2,3,4,5,6}:{(38,1),(46,1),(47,1),(91,1)}
        33:{2,3,4,6,7}:{(21,1),(39,1),(46,1),(48,1),(92,1)}
        34:{1,3,5,6,7}:{(21,1),(22,1),(48,1),(49,1)}
        35:{2,3,5,6,7}:{(23,1),(51,1),(52,1)}
        36:{1,4,5,6,7}:{(23,1),(52,1),(55,1)}
        37:{1,3,4,5,7}:{(24,1),(25,1),(27,1),(53,1)}
        38:{2,4,5,6}:{(24,1),(28,1),(53,1),(54,1)}
        39:{2,4,6,7}:{(25,1),(26,1),(53,1),(55,1)}
        40:{1,3,5,6,7}:{(26,1),(55,1),(56,1),(57,1),(84,1)}
        41:{2,3,5,7}:{(27,1),(28,1),(29,1),(53,1),(57,1)}
        42:{1,3,5,6}:{(28,1),(30,1),(54,1),(57,1),(58,1)}
        43:{1,3,4,6,7}:{(29,1),(30,1),(55,1),(57,1),(59,1),(84,1),(101,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(58,1),(60,1)}
        45:{1,2,3,5,7}:{(31,1),(60,1),(61,1),(87,1)}
        46:{2,3,4,5,7}:{(32,1),(33,1),(53,1),(62,1),(99,1)}
        47:{1,3,4,5,6}:{(32,1),(54,1),(62,1),(63,1),(83,1)}
        48:{1,3,4,6,7}:{(33,1),(34,1),(55,1),(62,1),(64,1),(84,1)}
        49:{2,5,6,7}:{(34,1),(64,1)}
        50:{2,3,4,5,6}:{(38,1),(65,1),(66,1),(77,1)}
        51:{2,3,4,6,7}:{(35,1),(39,1),(65,1),(67,1),(78,1)}
        52:{1,3,5,6,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(69,1)}
        54:{1,4,5,6}:{(38,1),(42,1),(69,1)}
        55:{1,4,6,7}:{(39,1),(40,1),(69,1)}
        56:{1,2,5,6,7}:{(40,1),(49,1),(68,1),(71,1),(72,1)}
        57:{1,3,5,7}:{(41,1),(42,1),(43,1),(69,1),(72,1)}
        58:{1,2,5,6}:{(42,1),(44,1),(72,1)}
        59:{1,2,4,6,7}:{(43,1),(44,1),(72,1),(74,1),(95,1)}
        60:{1,2,3,6}:{(44,1),(45,1)}
        61:{1,2,3,4,7}:{(45,1),(75,1),(95,1)}
        62:{1,3,4,5,7}:{(46,1),(47,1),(48,1),(69,1),(76,1),(93,1)}
        63:{2,4,5,6}:{(47,1),(76,1),(77,1)}
        64:{2,4,6,7}:{(48,1),(49,1),(76,1),(78,1)}
        65:{2,3,4,5,7}:{(50,1),(51,1),(53,1),(79,1),(88,1)}
        66:{1,3,4,5,6}:{(50,1),(54,1),(79,1),(80,1),(83,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(55,1),(79,1),(81,1),(84,1)}
        68:{2,5,6,7}:{(52,1),(81,1)}
        69:{1,4,5,7}:{(53,1),(54,1),(55,1),(57,1)}
        70:{1,2,4,5,6}:{(54,1),(58,1),(63,1),(80,1),(82,1),(83,1),(86,1)}
        71:{1,2,4,6,7}:{(55,1),(56,1),(64,1),(81,1),(82,1),(84,1)}
        72:{1,2,5,7}:{(57,1),(58,1),(59,1)}
        73:{1,2,3,5,6}:{(58,1),(60,1),(83,1),(85,1),(86,1),(87,1)}
        74:{1,2,3,6,7}:{(59,1),(60,1),(84,1),(85,1)}
        75:{1,2,3,4,6}:{(60,1),(61,1),(86,1),(87,1)}
        76:{2,4,5,7}:{(62,1),(63,1),(64,1),(88,1)}
        77:{2,3,5,6}:{(63,1),(83,1),(88,1),(89,1)}
        78:{2,3,6,7}:{(64,1),(84,1),(88,1)}
        79:{1,3,4,5,7}:{(65,1),(66,1),(67,1),(69,1),(90,1),(93,1)}
        80:{2,4,5,6}:{(66,1),(90,1),(91,1)}
        81:{2,4,6,7}:{(67,1),(68,1),(90,1),(92,1)}
        82:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(90,1),(93,1),(95,1)}
        83:{1,3,5,6}:{(70,1),(77,1),(91,1),(93,1),(94,1)}
        84:{1,3,6,7}:{(71,1),(78,1),(92,1),(93,1)}
        85:{1,2,3,5,7}:{(72,1),(73,1),(74,1),(93,1),(95,1)}
        86:{1,2,4,6}:{(73,1),(94,1),(95,1),(96,1)}
        87:{1,2,3,5}:{(75,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(78,1),(93,1),(97,1)}
        89:{2,3,4,6}:{(77,1),(94,1),(97,1),(98,1)}
        90:{2,4,5,7}:{(79,1),(80,1),(81,1),(99,1)}
        91:{2,3,5,6}:{(80,1),(83,1),(99,1),(100,1)}
        92:{2,3,6,7}:{(81,1),(84,1),(99,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(84,1),(88,1),(99,1),(101,1)}
        94:{1,3,4,6}:{(83,1),(86,1),(89,1),(100,1),(101,1),(102,1)}
        95:{1,2,4,7}:{(85,1),(86,1),(101,1)}
        96:{1,2,4,5}:{(86,1),(87,1),(102,1)}
        97:{2,3,4,7}:{(88,1),(89,1),(101,1)}
        98:{2,3,4,5}:{(89,1),(102,1)}
        99:{2,3,5,7}:{(90,1),(91,1),(92,1),(93,1),(103,1)}
       100:{2,3,4,6}:{(91,1),(94,1),(103,1),(104,1)}
       101:{1,3,4,7}:{(93,1),(94,1),(95,1),(97,1),(103,1)}
       102:{1,3,4,5}:{(94,1),(96,1),(98,1),(104,1)}
       103:{2,3,4,7}:{(99,1),(100,1),(101,1)}
       104:{2,3,4,5}:{(100,1),(102,1)}

3099 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

3100 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(19,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(19,1),(20,1)}
       17:{1,2,5,6,7}:{(13,1),(20,1)}
       18:{2,3,5,6,7}:{(14,1),(20,1),(21,1)}
       19:{2,3,4,6,7}:{(15,1),(16,1),(22,1)}
       20:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(22,1),(23,1)}
       21:{2,4,5,6,7}:{(18,1),(23,1),(24,1)}
       22:{2,3,5,6,7}:{(19,1),(20,1),(25,1)}
       23:{1,4,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{3,4,5,6,7}:{(21,1)}
       25:{2,4,5,6,7}:{(22,1),(23,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3101 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3102 :   0:{2,3,4,5,6}:{(2,1),(3,1),(42,1),(96,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(29,1),(30,1)}
         2:{1,3,4,5,6}:{(0,1),(8,1),(9,1),(26,1),(89,1),(92,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(9,1),(61,1),(103,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(20,1),(82,1)}
         5:{1,2,3,4,7}:{(1,1),(13,1),(50,1)}
         6:{1,2,3,5}:{(1,1),(14,1)}
         7:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(75,1),(97,1)}
         8:{2,4,5,6}:{(2,1),(20,1),(21,1)}
         9:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(21,1),(47,1),(99,1),(100,1)}
        10:{1,3,4,5,6}:{(4,1),(23,1),(24,1),(26,1),(89,1),(101,1)}
        11:{2,3,4,5,7}:{(4,1),(22,1),(24,1),(37,1),(94,1)}
        12:{1,2,4,5,6}:{(8,1),(23,1),(26,1),(27,1),(30,1),(66,1),(89,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        14:{1,2,4,5}:{(6,1),(25,1),(30,1)}
        15:{1,2,3,5,6}:{(6,1),(26,1),(29,1),(30,1),(31,1),(66,1)}
        16:{3,4,5,6,7}:{(32,1),(102,1)}
        17:{2,3,5,6,7}:{(7,1),(32,1),(33,1)}
        18:{1,3,4,6,7}:{(7,1),(9,1),(33,1),(35,1),(64,1),(90,1),(93,1)}
        19:{2,3,4,5}:{(25,1),(36,1)}
        20:{2,3,5,6}:{(8,1),(26,1),(36,1),(37,1)}
        21:{2,4,5,7}:{(8,1),(9,1),(35,1),(37,1)}
        22:{2,3,4,6,7}:{(11,1),(39,1),(40,1),(54,1),(83,1)}
        23:{2,4,5,6}:{(10,1),(42,1),(43,1)}
        24:{1,3,4,5,7}:{(10,1),(11,1),(40,1),(43,1),(47,1),(99,1),(104,1)}
        25:{1,3,4,5}:{(14,1),(19,1),(41,1),(46,1)}
        26:{1,3,5,6}:{(12,1),(20,1),(42,1),(46,1),(47,1)}
        27:{1,2,4,5,7}:{(12,1),(21,1),(43,1),(45,1),(47,1),(50,1),(80,1),(99,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(44,1),(48,1),(50,1),(80,1)}
        29:{1,2,3,6}:{(13,1),(48,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(46,1),(50,1)}
        31:{1,2,3,5,7}:{(15,1),(47,1),(49,1),(50,1),(80,1)}
        32:{2,4,5,6,7}:{(16,1),(17,1),(51,1),(97,1)}
        33:{1,3,5,6,7}:{(17,1),(18,1),(51,1),(52,1),(81,1)}
        34:{2,3,4,5,7}:{(19,1),(44,1),(53,1),(55,1),(84,1)}
        35:{2,4,6,7}:{(18,1),(21,1),(52,1),(54,1)}
        36:{2,3,4,6}:{(19,1),(20,1),(46,1),(55,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(47,1),(54,1),(55,1)}
        38:{3,4,5,6,7}:{(56,1),(93,1)}
        39:{2,3,5,6,7}:{(22,1),(56,1),(57,1)}
        40:{1,3,4,6,7}:{(22,1),(24,1),(57,1),(59,1),(64,1),(90,1),(102,1)}
        41:{2,3,4,5}:{(25,1),(60,1)}
        42:{2,3,5,6}:{(23,1),(26,1),(60,1),(61,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(59,1),(61,1)}
        44:{1,3,4,5,7}:{(25,1),(28,1),(34,1),(58,1),(63,1),(65,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(35,1),(59,1),(62,1),(64,1),(90,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(30,1),(36,1),(60,1),(65,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(37,1),(61,1),(64,1),(65,1)}
        48:{1,2,4,6}:{(28,1),(29,1),(63,1),(66,1)}
        49:{1,2,3,6,7}:{(29,1),(31,1),(64,1),(67,1)}
        50:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        51:{1,4,5,6,7}:{(32,1),(33,1),(68,1),(90,1)}
        52:{2,5,6,7}:{(33,1),(35,1)}
        53:{2,3,4,6}:{(34,1),(63,1),(70,1)}
        54:{2,3,6,7}:{(35,1),(37,1),(64,1)}
        55:{2,3,4,7}:{(36,1),(37,1),(65,1)}
        56:{2,4,5,6,7}:{(38,1),(39,1),(72,1),(83,1)}
        57:{1,3,5,6,7}:{(39,1),(40,1),(72,1),(73,1),(95,1)}
        58:{2,3,4,5,7}:{(41,1),(44,1),(74,1),(76,1),(98,1)}
        59:{2,4,6,7}:{(40,1),(43,1),(73,1),(75,1)}
        60:{2,3,4,6}:{(41,1),(42,1),(46,1),(76,1)}
        61:{2,3,5,7}:{(42,1),(43,1),(47,1),(75,1),(76,1)}
        62:{1,2,5,6,7}:{(45,1),(52,1),(73,1),(77,1),(80,1)}
        63:{1,3,4,6}:{(44,1),(48,1),(53,1),(74,1),(78,1)}
        64:{1,3,6,7}:{(45,1),(47,1),(54,1),(75,1)}
        65:{1,3,4,7}:{(46,1),(47,1),(50,1),(55,1),(76,1)}
        66:{1,2,5,6}:{(48,1),(78,1),(80,1)}
        67:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1)}
        68:{2,4,5,6,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,3,5,6,7}:{(52,1),(54,1),(77,1),(81,1),(83,1),(84,1)}
        70:{2,3,5,6}:{(53,1),(78,1),(82,1),(84,1)}
        71:{2,3,4,6,7}:{(53,1),(54,1),(55,1),(79,1),(83,1),(84,1)}
        72:{1,4,5,6,7}:{(56,1),(57,1),(85,1),(90,1)}
        73:{2,5,6,7}:{(57,1),(59,1)}
        74:{2,3,4,6}:{(58,1),(63,1),(87,1)}
        75:{2,3,6,7}:{(59,1),(61,1),(64,1)}
        76:{2,3,4,7}:{(60,1),(61,1),(65,1)}
        77:{1,3,5,6,7}:{(62,1),(64,1),(69,1),(86,1),(90,1),(91,1)}
        78:{1,3,5,6}:{(63,1),(66,1),(70,1),(87,1),(89,1),(91,1)}
        79:{1,3,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(71,1),(88,1),(90,1),(91,1)}
        80:{1,2,5,7}:{(66,1),(67,1),(91,1)}
        81:{3,5,6,7}:{(68,1),(93,1)}
        82:{2,4,5,6}:{(70,1),(89,1),(92,1),(94,1)}
        83:{2,4,6,7}:{(69,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(91,1),(94,1)}
        85:{2,4,5,6,7}:{(72,1),(73,1),(95,1),(97,1)}
        86:{2,3,5,6,7}:{(73,1),(75,1),(77,1),(95,1),(97,1),(98,1)}
        87:{2,3,5,6}:{(74,1),(78,1),(96,1),(98,1)}
        88:{2,3,4,6,7}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        89:{1,4,5,6}:{(78,1),(82,1),(96,1),(99,1)}
        90:{1,4,6,7}:{(77,1),(83,1),(97,1),(99,1)}
        91:{1,3,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(82,1),(100,1)}
        93:{3,4,6,7}:{(81,1),(83,1),(100,1)}
        94:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(85,1),(102,1)}
        96:{2,4,5,6}:{(87,1),(89,1),(101,1),(103,1)}
        97:{2,4,6,7}:{(86,1),(90,1),(102,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        99:{1,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,6}:{(96,1),(104,1)}
       102:{3,4,6,7}:{(95,1),(97,1),(104,1)}
       103:{2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

3103 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3104 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(103,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(51,1),(98,1)}
         2:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(100,1),(101,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(16,1),(96,1)}
         4:{2,3,4,6,7}:{(1,1),(13,1),(14,1),(66,1),(90,1)}
         5:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(15,1),(37,1),(93,1),(95,1)}
         6:{2,4,5,6}:{(2,1),(15,1),(16,1)}
         7:{2,3,4,5,7}:{(3,1),(17,1),(18,1),(29,1),(87,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(21,1),(100,1),(104,1)}
         9:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(21,1),(23,1),(85,1),(100,1)}
        10:{1,2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(59,1),(85,1)}
        11:{1,2,3,4,6}:{(23,1),(24,1),(25,1),(59,1)}
        12:{3,4,5,6,7}:{(26,1),(97,1)}
        13:{2,3,5,6,7}:{(4,1),(26,1),(27,1)}
        14:{1,3,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(54,1),(82,1),(86,1)}
        15:{2,4,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(29,1),(30,1)}
        17:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(45,1),(75,1)}
        18:{1,3,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(93,1),(102,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(35,1)}
        20:{1,2,4,5,7}:{(9,1),(15,1),(34,1),(36,1),(37,1),(40,1),(72,1),(93,1)}
        21:{1,3,5,6}:{(9,1),(16,1),(35,1),(37,1),(38,1)}
        22:{1,2,3,5,7}:{(10,1),(37,1),(39,1),(40,1),(72,1)}
        23:{1,2,4,6}:{(10,1),(38,1),(40,1),(41,1)}
        24:{1,2,3,4,7}:{(11,1),(40,1),(42,1)}
        25:{1,2,3,5}:{(11,1),(41,1)}
        26:{2,4,5,6,7}:{(12,1),(13,1),(43,1),(90,1)}
        27:{1,3,5,6,7}:{(13,1),(14,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(14,1),(15,1),(44,1),(45,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(37,1),(45,1),(46,1)}
        30:{2,3,4,6}:{(16,1),(38,1),(46,1),(47,1)}
        31:{3,4,5,6,7}:{(48,1),(86,1)}
        32:{2,3,5,6,7}:{(17,1),(48,1),(49,1)}
        33:{1,3,4,6,7}:{(17,1),(18,1),(49,1),(50,1),(54,1),(82,1),(97,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(50,1),(51,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(51,1),(52,1)}
        36:{1,2,4,6,7}:{(20,1),(28,1),(50,1),(53,1),(54,1),(82,1)}
        37:{1,3,5,7}:{(20,1),(21,1),(29,1),(51,1),(54,1),(55,1)}
        38:{1,3,4,6}:{(21,1),(23,1),(30,1),(52,1),(55,1),(56,1)}
        39:{1,2,3,6,7}:{(22,1),(54,1),(57,1),(59,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(55,1)}
        41:{1,2,4,5}:{(23,1),(25,1),(56,1)}
        42:{1,2,3,5,7}:{(24,1),(25,1),(58,1),(59,1)}
        43:{1,4,5,6,7}:{(26,1),(27,1),(60,1),(82,1)}
        44:{2,5,6,7}:{(27,1),(28,1)}
        45:{2,3,6,7}:{(28,1),(29,1),(54,1)}
        46:{2,3,4,7}:{(29,1),(30,1),(55,1)}
        47:{2,3,4,5}:{(30,1),(56,1)}
        48:{2,4,5,6,7}:{(31,1),(32,1),(64,1),(75,1)}
        49:{1,3,5,6,7}:{(32,1),(33,1),(64,1),(65,1),(89,1)}
        50:{2,4,6,7}:{(33,1),(34,1),(65,1),(66,1)}
        51:{2,3,5,7}:{(34,1),(35,1),(37,1),(66,1),(67,1)}
        52:{2,3,4,6}:{(35,1),(38,1),(67,1),(68,1)}
        53:{1,2,5,6,7}:{(36,1),(44,1),(65,1),(69,1),(72,1)}
        54:{1,3,6,7}:{(36,1),(37,1),(45,1),(66,1)}
        55:{1,3,4,7}:{(37,1),(38,1),(40,1),(46,1),(67,1)}
        56:{1,3,4,5}:{(38,1),(41,1),(47,1),(68,1)}
        57:{1,2,4,6,7}:{(39,1),(40,1),(70,1),(72,1),(73,1)}
        58:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(71,1),(72,1),(73,1)}
        59:{1,2,3,6}:{(42,1),(73,1)}
        60:{2,4,5,6,7}:{(43,1),(44,1),(74,1),(75,1)}
        61:{2,3,5,6,7}:{(44,1),(45,1),(69,1),(74,1),(75,1),(76,1)}
        62:{2,3,4,6,7}:{(45,1),(46,1),(70,1),(75,1),(76,1),(77,1)}
        63:{2,3,4,5,7}:{(46,1),(47,1),(71,1),(76,1),(77,1)}
        64:{1,4,5,6,7}:{(48,1),(49,1),(78,1),(82,1)}
        65:{2,5,6,7}:{(49,1),(50,1)}
        66:{2,3,6,7}:{(50,1),(51,1),(54,1)}
        67:{2,3,4,7}:{(51,1),(52,1),(55,1)}
        68:{2,3,4,5}:{(52,1),(56,1)}
        69:{1,3,5,6,7}:{(53,1),(54,1),(61,1),(79,1),(82,1),(83,1)}
        70:{1,3,4,6,7}:{(54,1),(55,1),(57,1),(62,1),(80,1),(82,1),(83,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(56,1),(58,1),(63,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,7}:{(57,1),(83,1),(85,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(84,1),(85,1)}
        74:{3,5,6,7}:{(60,1),(86,1)}
        75:{2,4,6,7}:{(61,1),(82,1),(86,1),(87,1)}
        76:{2,3,5,7}:{(62,1),(83,1),(87,1),(88,1)}
        77:{2,3,4,6}:{(63,1),(84,1),(88,1)}
        78:{2,4,5,6,7}:{(64,1),(65,1),(89,1),(90,1)}
        79:{2,3,5,6,7}:{(65,1),(66,1),(69,1),(89,1),(90,1),(91,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(70,1),(90,1),(91,1),(92,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(71,1),(91,1),(92,1)}
        82:{1,4,6,7}:{(69,1),(75,1),(90,1),(93,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(76,1),(91,1),(93,1),(94,1)}
        84:{1,3,4,6}:{(71,1),(73,1),(77,1),(92,1),(94,1)}
        85:{1,2,5,6}:{(72,1),(73,1),(94,1)}
        86:{3,4,6,7}:{(74,1),(75,1),(95,1)}
        87:{2,4,5,7}:{(75,1),(76,1),(93,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(76,1),(77,1),(94,1),(96,1)}
        89:{3,5,6,7}:{(78,1),(97,1)}
        90:{2,4,6,7}:{(79,1),(82,1),(97,1),(98,1)}
        91:{2,3,5,7}:{(80,1),(83,1),(98,1),(99,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1)}
        93:{1,4,5,7}:{(82,1),(83,1),(87,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(86,1),(87,1),(101,1)}
        96:{2,4,5,6}:{(87,1),(88,1),(100,1),(101,1)}
        97:{3,4,6,7}:{(89,1),(90,1),(102,1)}
        98:{2,4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,3,5,6}:{(91,1),(92,1),(94,1),(103,1)}
       100:{1,4,5,6}:{(93,1),(94,1),(96,1),(103,1)}
       101:{3,4,5,6}:{(95,1),(96,1)}
       102:{3,4,5,7}:{(97,1),(98,1),(104,1)}
       103:{2,4,5,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

3105 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(22,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(29,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(30,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(24,1),(36,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(24,1),(27,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(30,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(34,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(34,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(36,1),(46,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(22,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(36,1)}
       16:{2,3,4,5,6}:{(10,1),(23,1),(39,1)}
       17:{1,3,4,6,7}:{(11,1),(21,1),(24,1),(40,1)}
       18:{1,2,4,5,7}:{(11,1),(22,1),(24,1),(25,1)}
       19:{1,2,3,5,7}:{(12,1),(24,1),(26,1),(27,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(28,1),(29,1),(48,1)}
       21:{2,3,4,6,7}:{(14,1),(17,1),(28,1),(30,1),(44,1)}
       22:{2,4,5,7}:{(14,1),(15,1),(30,1),(31,1)}
       23:{1,3,4,5,6}:{(15,1),(16,1),(31,1),(33,1),(43,1)}
       24:{1,3,5,7}:{(17,1),(18,1),(30,1),(33,1)}
       25:{1,2,4,5,6}:{(18,1),(31,1),(33,1),(34,1)}
       26:{1,2,4,5,7}:{(19,1),(32,1),(34,1)}
       27:{1,2,3,5,6}:{(19,1),(33,1),(34,1)}
       28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(47,1)}
       29:{1,2,4,5,7}:{(20,1),(22,1),(36,1),(37,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(39,1)}
       31:{2,4,5,6}:{(22,1),(23,1),(39,1)}
       32:{1,3,4,5,7}:{(24,1),(26,1),(38,1),(40,1)}
       33:{1,3,5,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,4,6}:{(26,1),(27,1),(40,1)}
       35:{1,2,3,4,6,7}:{(28,1),(41,1),(48,1)}
       36:{1,3,5,7}:{(28,1),(29,1),(30,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(31,1),(43,1),(48,1)}
       38:{2,3,4,5,7}:{(30,1),(32,1),(42,1),(44,1)}
       39:{2,3,5,6}:{(30,1),(31,1),(33,1),(43,1),(44,1)}
       40:{1,3,4,6}:{(32,1),(33,1),(34,1),(44,1)}
       41:{1,2,3,5,7}:{(35,1),(36,1),(45,1),(46,1)}
       42:{1,3,4,5,7}:{(36,1),(38,1),(45,1),(47,1)}
       43:{1,3,5,6}:{(36,1),(37,1),(39,1),(47,1)}
       44:{2,3,4,6}:{(38,1),(39,1),(40,1),(47,1)}
       45:{1,2,4,5,7}:{(41,1),(42,1),(48,1)}
       46:{1,2,3,5,6}:{(41,1),(43,1),(48,1)}
       47:{1,3,4,6}:{(42,1),(43,1),(44,1),(48,1)}
       48:{1,2,4,6}:{(45,1),(46,1),(47,1)}

3106 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,5,6,7}:{(5,1),(13,1),(24,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(24,1),(30,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(26,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(26,1),(28,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1)}
       25:{1,3,4,5,6,7}:{(24,1),(30,1)}
       26:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(31,1)}
       27:{1,2,3,6,7}:{(21,1),(31,1)}
       28:{1,3,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       29:{2,3,5,6,7}:{(23,1),(24,1),(30,1),(32,1)}
       30:{2,4,5,6,7}:{(25,1),(29,1),(33,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(33,1),(34,1)}
       33:{1,4,5,6,7}:{(30,1),(32,1)}
       34:{1,2,5,6,7}:{(31,1),(32,1)}

3107 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(16,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(25,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(16,1),(17,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(18,1)}
       15:{1,3,4,5,6}:{(11,1),(18,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(15,1),(23,1),(24,1)}
       20:{1,3,4,5,6,7}:{(16,1),(25,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(25,1),(26,1)}
       22:{1,3,4,6,7}:{(17,1),(18,1),(26,1),(27,1)}
       23:{1,2,4,5,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,3,5,6}:{(19,1),(28,1),(29,1)}
       25:{2,4,5,6,7}:{(20,1),(21,1),(30,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(30,1),(31,1)}
       27:{1,2,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,2,3,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(24,1),(33,1),(34,1)}
       30:{1,4,5,6,7}:{(25,1),(26,1)}
       31:{1,2,5,6,7}:{(26,1),(27,1)}
       32:{1,2,3,6,7}:{(27,1),(28,1)}
       33:{1,2,3,4,7}:{(28,1),(29,1)}
       34:{1,2,3,4,5}:{(29,1)}

3108 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3109 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3110 :   0:{2,3,4,5,6}:{(1,1),(2,1),(22,1),(102,1)}
         1:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(39,1),(96,1)}
         2:{1,3,4,5,6}:{(0,1),(7,1),(8,1),(10,1),(31,1),(98,1),(103,1),(104,1)}
         3:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(12,1),(79,1),(98,1)}
         4:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(14,1),(47,1),(79,1)}
         5:{1,2,3,4,6}:{(12,1),(13,1),(14,1),(47,1)}
         6:{2,3,4,6,7}:{(1,1),(19,1),(20,1),(57,1),(86,1)}
         7:{1,3,4,5,7}:{(1,1),(2,1),(20,1),(21,1),(24,1),(49,1),(89,1),(99,1),(101,1)}
         8:{2,4,5,6}:{(2,1),(21,1),(22,1)}
         9:{1,2,4,5,7}:{(3,1),(21,1),(23,1),(24,1),(27,1),(63,1),(89,1)}
        10:{1,3,5,6}:{(3,1),(22,1),(24,1),(25,1)}
        11:{1,2,3,5,7}:{(4,1),(24,1),(26,1),(27,1),(63,1)}
        12:{1,2,4,6}:{(4,1),(25,1),(27,1),(28,1)}
        13:{1,2,3,4,7}:{(5,1),(27,1),(29,1)}
        14:{1,2,3,5}:{(5,1),(28,1)}
        15:{1,2,4,5,6}:{(8,1),(30,1),(31,1),(33,1),(94,1),(103,1)}
        16:{1,2,3,5,6}:{(31,1),(32,1),(33,1),(35,1),(71,1),(94,1)}
        17:{1,2,3,4,6}:{(33,1),(34,1),(35,1),(71,1)}
        18:{3,4,5,6,7}:{(36,1),(95,1)}
        19:{2,3,5,6,7}:{(6,1),(36,1),(37,1)}
        20:{1,3,4,6,7}:{(6,1),(7,1),(37,1),(38,1),(42,1),(66,1),(76,1),(91,1),(95,1)}
        21:{2,4,5,7}:{(7,1),(8,1),(38,1),(39,1)}
        22:{2,3,5,6}:{(8,1),(10,1),(31,1),(39,1),(40,1)}
        23:{1,2,4,6,7}:{(9,1),(38,1),(41,1),(42,1),(76,1)}
        24:{1,3,5,7}:{(9,1),(10,1),(39,1),(42,1),(43,1)}
        25:{1,3,4,6}:{(10,1),(12,1),(40,1),(43,1),(44,1)}
        26:{1,2,3,6,7}:{(11,1),(42,1),(45,1),(47,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1)}
        28:{1,2,4,5}:{(12,1),(14,1),(44,1)}
        29:{1,2,3,5,7}:{(13,1),(14,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(21,1),(48,1),(49,1),(52,1),(83,1),(99,1)}
        31:{1,3,5,6}:{(15,1),(22,1),(49,1),(50,1)}
        32:{1,2,3,5,7}:{(16,1),(49,1),(51,1),(52,1),(83,1)}
        33:{1,2,4,6}:{(16,1),(50,1),(52,1),(53,1)}
        34:{1,2,3,4,7}:{(17,1),(52,1),(54,1)}
        35:{1,2,3,5}:{(17,1),(53,1)}
        36:{2,4,5,6,7}:{(18,1),(19,1),(55,1),(86,1)}
        37:{1,3,5,6,7}:{(19,1),(20,1),(55,1),(56,1),(85,1)}
        38:{2,4,6,7}:{(20,1),(21,1),(56,1),(57,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,3,4,6}:{(22,1),(25,1),(50,1),(58,1),(59,1)}
        41:{1,2,5,6,7}:{(23,1),(56,1),(60,1),(63,1)}
        42:{1,3,6,7}:{(23,1),(24,1),(57,1)}
        43:{1,3,4,7}:{(24,1),(25,1),(27,1),(58,1)}
        44:{1,3,4,5}:{(25,1),(28,1),(59,1)}
        45:{1,2,4,6,7}:{(26,1),(27,1),(61,1),(63,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(62,1),(63,1),(64,1)}
        47:{1,2,3,6}:{(29,1),(64,1)}
        48:{1,2,4,6,7}:{(30,1),(38,1),(65,1),(66,1),(91,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(39,1),(66,1),(67,1)}
        50:{1,3,4,6}:{(31,1),(33,1),(40,1),(67,1),(68,1)}
        51:{1,2,3,6,7}:{(32,1),(66,1),(69,1),(71,1)}
        52:{1,2,4,7}:{(32,1),(33,1),(67,1)}
        53:{1,2,4,5}:{(33,1),(35,1),(68,1)}
        54:{1,2,3,5,7}:{(34,1),(35,1),(70,1),(71,1)}
        55:{1,4,5,6,7}:{(36,1),(37,1),(72,1),(76,1),(91,1)}
        56:{2,5,6,7}:{(37,1),(38,1)}
        57:{2,3,6,7}:{(38,1),(39,1),(42,1),(66,1)}
        58:{2,3,4,7}:{(39,1),(40,1),(43,1),(67,1)}
        59:{2,3,4,5}:{(40,1),(44,1),(68,1)}
        60:{1,3,5,6,7}:{(41,1),(42,1),(73,1),(76,1),(77,1)}
        61:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(74,1),(76,1),(77,1),(78,1)}
        62:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(75,1),(77,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(77,1),(79,1)}
        64:{1,2,4,6}:{(46,1),(47,1),(78,1),(79,1)}
        65:{1,2,5,6,7}:{(48,1),(56,1),(80,1),(83,1)}
        66:{1,3,6,7}:{(48,1),(49,1),(57,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(52,1),(58,1)}
        68:{1,3,4,5}:{(50,1),(53,1),(59,1)}
        69:{1,2,4,6,7}:{(51,1),(52,1),(81,1),(83,1),(84,1)}
        70:{1,2,4,5,7}:{(52,1),(53,1),(54,1),(82,1),(83,1),(84,1)}
        71:{1,2,3,6}:{(54,1),(84,1)}
        72:{2,4,5,6,7}:{(55,1),(56,1),(85,1),(86,1)}
        73:{2,3,5,6,7}:{(56,1),(57,1),(60,1),(80,1),(85,1),(86,1),(87,1)}
        74:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(81,1),(86,1),(87,1),(88,1)}
        75:{2,3,4,5,7}:{(58,1),(59,1),(62,1),(82,1),(87,1),(88,1)}
        76:{1,4,6,7}:{(60,1),(86,1),(89,1)}
        77:{1,3,5,7}:{(61,1),(63,1),(87,1),(89,1),(90,1)}
        78:{1,3,4,6}:{(62,1),(64,1),(88,1),(90,1)}
        79:{1,2,5,6}:{(63,1),(64,1),(90,1)}
        80:{1,3,5,6,7}:{(65,1),(66,1),(73,1),(91,1),(92,1)}
        81:{1,3,4,6,7}:{(66,1),(67,1),(69,1),(74,1),(91,1),(92,1),(93,1)}
        82:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(92,1),(93,1)}
        83:{1,2,5,7}:{(69,1),(92,1),(94,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(93,1),(94,1)}
        85:{3,5,6,7}:{(72,1),(95,1)}
        86:{2,4,6,7}:{(73,1),(76,1),(91,1),(95,1),(96,1)}
        87:{2,3,5,7}:{(74,1),(77,1),(92,1),(96,1),(97,1)}
        88:{2,3,4,6}:{(75,1),(78,1),(93,1),(97,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(96,1),(98,1)}
        90:{1,3,5,6}:{(77,1),(78,1),(79,1),(97,1),(98,1)}
        91:{1,4,6,7}:{(80,1),(86,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(83,1),(87,1),(99,1),(100,1)}
        93:{1,3,4,6}:{(82,1),(84,1),(88,1),(100,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(100,1)}
        95:{3,4,6,7}:{(85,1),(86,1),(101,1)}
        96:{2,4,5,7}:{(86,1),(87,1),(89,1),(99,1),(101,1),(102,1)}
        97:{2,3,5,6}:{(87,1),(88,1),(90,1),(100,1),(102,1)}
        98:{1,4,5,6}:{(89,1),(90,1),(102,1)}
        99:{1,4,5,7}:{(91,1),(92,1),(96,1),(103,1)}
       100:{1,3,5,6}:{(92,1),(93,1),(94,1),(97,1),(103,1)}
       101:{3,4,5,7}:{(95,1),(96,1),(104,1)}
       102:{2,4,5,6}:{(96,1),(97,1),(98,1),(103,1),(104,1)}
       103:{1,4,5,6}:{(99,1),(100,1),(102,1)}
       104:{3,4,5,6}:{(101,1),(102,1)}

3111 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(17,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(17,1),(28,1)}
       13:{1,2,3,4,5}:{(18,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(20,1),(21,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(16,1),(23,1)}
       18:{1,2,3,4,6}:{(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(24,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       21:{2,3,4,6,7}:{(15,1),(16,1),(23,1),(27,1)}
       22:{1,3,4,5,6,7}:{(17,1),(28,1)}
       23:{2,3,5,6,7}:{(17,1),(21,1),(28,1),(29,1)}
       24:{1,2,3,5,6}:{(18,1),(19,1),(30,1)}
       25:{1,2,3,4,7}:{(18,1),(30,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(30,1),(31,1)}
       27:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(31,1)}
       28:{2,4,5,6,7}:{(22,1),(23,1),(32,1)}
       29:{1,3,5,6,7}:{(23,1),(27,1),(32,1),(33,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(33,1),(34,1)}
       32:{1,4,5,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(31,1)}
       34:{1,2,3,6,7}:{(30,1),(31,1)}

3112 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,7}:{(1,1),(7,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1),(12,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,6,7}:{(7,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,5,6,7}:{(17,1),(27,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1),(35,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}
       35:{3,4,5,6,7}:{(33,1)}

3113 :   0:{1,2,3,4,6}:{(2,1),(3,1),(20,1),(21,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(31,1),(93,1)}
         2:{1,2,3,4,7}:{(0,1),(8,1),(39,1)}
         3:{1,2,3,5}:{(0,1),(9,1)}
         4:{1,2,3,4,6}:{(11,1),(12,1),(44,1),(45,1)}
         5:{1,3,4,5,6}:{(1,1),(14,1),(15,1),(17,1),(41,1),(85,1),(97,1),(100,1)}
         6:{2,3,4,5,7}:{(1,1),(13,1),(15,1),(52,1),(102,1)}
         7:{1,2,4,5,6}:{(14,1),(17,1),(18,1),(21,1),(57,1),(85,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1)}
         9:{1,2,4,5}:{(3,1),(16,1),(21,1)}
        10:{1,2,3,5,6}:{(3,1),(17,1),(20,1),(21,1),(22,1),(57,1)}
        11:{1,2,3,4,7}:{(4,1),(24,1),(65,1)}
        12:{1,2,3,5}:{(4,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(28,1),(29,1),(69,1),(94,1)}
        14:{2,4,5,6}:{(5,1),(31,1),(32,1)}
        15:{1,3,4,5,7}:{(5,1),(6,1),(29,1),(32,1),(36,1),(62,1),(96,1),(103,1),(104,1)}
        16:{1,3,4,5}:{(9,1),(30,1),(35,1)}
        17:{1,3,5,6}:{(7,1),(31,1),(35,1),(36,1)}
        18:{1,2,4,5,7}:{(7,1),(32,1),(34,1),(36,1),(39,1),(74,1),(96,1)}
        19:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(37,1),(39,1),(74,1)}
        20:{1,2,3,6}:{(8,1),(37,1)}
        21:{1,2,4,6}:{(9,1),(10,1),(35,1),(39,1)}
        22:{1,2,3,5,7}:{(10,1),(36,1),(38,1),(39,1),(74,1)}
        23:{1,2,4,5,6}:{(14,1),(41,1),(42,1),(45,1),(79,1),(97,1)}
        24:{1,2,3,5,7}:{(11,1),(12,1),(43,1),(44,1)}
        25:{1,2,4,5}:{(12,1),(40,1),(45,1)}
        26:{1,2,3,5,6}:{(12,1),(41,1),(44,1),(45,1),(46,1),(79,1)}
        27:{3,4,5,6,7}:{(47,1),(101,1)}
        28:{2,3,5,6,7}:{(13,1),(47,1),(48,1)}
        29:{1,3,4,6,7}:{(13,1),(15,1),(48,1),(50,1),(55,1),(77,1),(86,1),(98,1),(101,1)}
        30:{2,3,4,5}:{(16,1),(40,1),(51,1)}
        31:{2,3,5,6}:{(14,1),(17,1),(41,1),(51,1),(52,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(50,1),(52,1)}
        33:{1,3,4,5,7}:{(16,1),(19,1),(49,1),(54,1),(56,1),(87,1)}
        34:{1,2,4,6,7}:{(18,1),(50,1),(53,1),(55,1),(86,1)}
        35:{1,3,4,6}:{(16,1),(17,1),(21,1),(51,1),(56,1)}
        36:{1,3,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(54,1),(57,1)}
        38:{1,2,3,6,7}:{(20,1),(22,1),(55,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(56,1)}
        40:{1,3,4,5}:{(25,1),(30,1),(61,1)}
        41:{1,3,5,6}:{(23,1),(31,1),(61,1),(62,1)}
        42:{1,2,4,5,7}:{(23,1),(32,1),(60,1),(62,1),(65,1),(91,1),(103,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(59,1),(63,1),(65,1),(91,1)}
        44:{1,2,3,6}:{(24,1),(63,1)}
        45:{1,2,4,6}:{(25,1),(26,1),(61,1),(65,1)}
        46:{1,2,3,5,7}:{(26,1),(62,1),(64,1),(65,1),(91,1)}
        47:{2,4,5,6,7}:{(27,1),(28,1),(66,1),(94,1)}
        48:{1,3,5,6,7}:{(28,1),(29,1),(66,1),(67,1),(92,1)}
        49:{2,3,4,5,7}:{(30,1),(33,1),(59,1),(68,1),(70,1),(95,1)}
        50:{2,4,6,7}:{(29,1),(32,1),(67,1),(69,1)}
        51:{2,3,4,6}:{(30,1),(31,1),(35,1),(61,1),(70,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(62,1),(69,1),(70,1)}
        53:{1,2,5,6,7}:{(34,1),(67,1),(71,1),(74,1)}
        54:{1,3,4,6}:{(33,1),(37,1),(68,1),(72,1)}
        55:{1,3,6,7}:{(34,1),(36,1),(69,1)}
        56:{1,3,4,7}:{(35,1),(36,1),(39,1),(70,1)}
        57:{1,2,5,6}:{(37,1),(72,1),(74,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(73,1),(74,1)}
        59:{1,3,4,5,7}:{(40,1),(43,1),(49,1),(76,1),(78,1),(99,1)}
        60:{1,2,4,6,7}:{(42,1),(50,1),(75,1),(77,1),(98,1)}
        61:{1,3,4,6}:{(40,1),(41,1),(45,1),(51,1),(78,1)}
        62:{1,3,5,7}:{(41,1),(42,1),(52,1),(77,1),(78,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(76,1),(79,1)}
        64:{1,2,3,6,7}:{(44,1),(46,1),(77,1),(80,1)}
        65:{1,2,4,7}:{(45,1),(46,1),(78,1)}
        66:{1,4,5,6,7}:{(47,1),(48,1),(81,1),(86,1),(98,1)}
        67:{2,5,6,7}:{(48,1),(50,1)}
        68:{2,3,4,6}:{(49,1),(54,1),(76,1),(83,1)}
        69:{2,3,6,7}:{(50,1),(52,1),(55,1),(77,1)}
        70:{2,3,4,7}:{(51,1),(52,1),(56,1),(78,1)}
        71:{1,3,5,6,7}:{(53,1),(55,1),(82,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(54,1),(57,1),(83,1),(85,1),(87,1)}
        73:{1,3,4,6,7}:{(54,1),(55,1),(56,1),(58,1),(84,1),(86,1),(87,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(87,1)}
        75:{1,2,5,6,7}:{(60,1),(67,1),(88,1),(91,1)}
        76:{1,3,4,6}:{(59,1),(63,1),(68,1),(89,1)}
        77:{1,3,6,7}:{(60,1),(62,1),(69,1)}
        78:{1,3,4,7}:{(61,1),(62,1),(65,1),(70,1)}
        79:{1,2,5,6}:{(63,1),(89,1),(91,1)}
        80:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(90,1),(91,1)}
        81:{2,4,5,6,7}:{(66,1),(67,1),(92,1),(94,1)}
        82:{2,3,5,6,7}:{(67,1),(69,1),(71,1),(88,1),(92,1),(94,1),(95,1)}
        83:{2,3,5,6}:{(68,1),(72,1),(89,1),(93,1),(95,1)}
        84:{2,3,4,6,7}:{(68,1),(69,1),(70,1),(73,1),(90,1),(94,1),(95,1)}
        85:{1,4,5,6}:{(72,1),(93,1),(96,1)}
        86:{1,4,6,7}:{(71,1),(94,1),(96,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6,7}:{(75,1),(77,1),(82,1),(98,1),(99,1)}
        89:{1,3,5,6}:{(76,1),(79,1),(83,1),(97,1),(99,1)}
        90:{1,3,4,6,7}:{(76,1),(77,1),(78,1),(80,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,7}:{(79,1),(80,1),(99,1)}
        92:{3,5,6,7}:{(81,1),(101,1)}
        93:{2,4,5,6}:{(83,1),(85,1),(97,1),(100,1),(102,1)}
        94:{2,4,6,7}:{(82,1),(86,1),(98,1),(101,1),(102,1)}
        95:{2,3,5,7}:{(83,1),(84,1),(87,1),(99,1),(102,1)}
        96:{1,4,5,7}:{(85,1),(86,1),(87,1),(102,1)}
        97:{1,4,5,6}:{(89,1),(93,1),(103,1)}
        98:{1,4,6,7}:{(88,1),(94,1),(103,1)}
        99:{1,3,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       100:{3,4,5,6}:{(93,1),(104,1)}
       101:{3,4,6,7}:{(92,1),(94,1),(104,1)}
       102:{2,4,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1),(104,1)}
       103:{1,4,5,7}:{(97,1),(98,1),(99,1),(102,1)}
       104:{3,4,5,7}:{(100,1),(101,1),(102,1)}

3114 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3115 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(8,1),(27,1),(31,1),(53,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(11,1),(48,1)}
         2:{1,2,3,4,7}:{(5,1),(6,1),(53,1)}
         3:{1,2,4,5,7}:{(1,1),(7,1),(8,1),(20,1),(53,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(30,1)}
         5:{1,2,3,4,6}:{(2,1),(11,1),(14,1),(35,1)}
         6:{1,2,3,5,7}:{(2,1),(11,1),(13,1),(14,1)}
         7:{1,3,4,5,7}:{(3,1),(15,1),(16,1),(34,1),(48,1),(68,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1)}
         9:{1,2,3,5,6,7}:{(4,1),(18,1),(36,1),(48,1),(75,1),(77,1),(93,1)}
        10:{1,3,4,5,6,7}:{(19,1),(46,1),(78,1)}
        11:{1,2,3,5}:{(5,1),(20,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(61,1),(79,1)}
        13:{1,2,4,5,7}:{(6,1),(20,1),(25,1),(26,1),(53,1),(60,1)}
        14:{1,2,3,6}:{(6,1),(26,1)}
        15:{2,3,4,5,7}:{(7,1),(22,1),(25,1),(28,1),(50,1),(55,1),(62,1),(80,1)}
        16:{1,3,4,6}:{(7,1),(8,1),(28,1),(30,1)}
        17:{1,2,4,5,6}:{(8,1),(30,1),(32,1),(61,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(31,1),(32,1),(53,1),(88,1)}
        19:{2,4,5,6,7}:{(10,1),(29,1),(33,1),(63,1),(88,1)}
        20:{1,2,4,5}:{(11,1),(34,1),(35,1)}
        21:{1,2,3,5,6}:{(11,1),(14,1),(35,1),(36,1),(42,1),(67,1)}
        22:{2,3,4,5}:{(34,1),(37,1)}
        23:{1,3,4,5,6}:{(12,1),(38,1),(39,1),(67,1),(73,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(40,1),(76,1),(91,1)}
        25:{1,3,4,5,7}:{(13,1),(15,1),(34,1),(41,1),(68,1),(74,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(41,1),(42,1)}
        27:{1,2,3,6,7}:{(14,1),(36,1),(43,1),(93,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(41,1),(44,1)}
        29:{2,3,5,6,7}:{(19,1),(40,1),(46,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(48,1)}
        31:{1,3,4,6,7}:{(16,1),(18,1),(45,1),(48,1),(68,1),(93,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(48,1),(76,1)}
        33:{1,4,5,6,7}:{(19,1),(46,1),(95,1)}
        34:{1,3,4,5}:{(20,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(51,1),(53,1)}
        36:{1,2,3,5,7}:{(21,1),(27,1),(53,1),(60,1),(82,1)}
        37:{2,3,4,6}:{(22,1),(51,1),(54,1),(55,1)}
        38:{2,4,5,6}:{(23,1),(54,1),(56,1)}
        39:{1,3,4,5,7}:{(23,1),(24,1),(56,1),(57,1),(82,1),(86,1)}
        40:{2,3,4,6,7}:{(24,1),(29,1),(57,1),(88,1),(98,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(28,1),(58,1)}
        42:{1,2,5,6}:{(26,1),(58,1),(60,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(59,1),(60,1)}
        44:{2,3,5,6}:{(28,1),(30,1),(58,1),(61,1),(62,1)}
        45:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(59,1),(62,1),(80,1),(85,1),(88,1),(98,1)}
        46:{1,3,5,6,7}:{(29,1),(33,1),(57,1),(63,1)}
        47:{1,3,4,5,6}:{(30,1),(61,1),(64,1)}
        48:{1,3,5,7}:{(30,1),(31,1),(32,1),(62,1)}
        49:{1,2,4,5,6,7}:{(32,1),(33,1),(63,1),(65,1),(83,1),(88,1),(101,1),(104,1)}
        50:{2,3,4,5}:{(34,1),(66,1)}
        51:{1,3,4,6}:{(34,1),(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{1,2,4,5,6}:{(35,1),(38,1),(42,1),(67,1),(69,1),(73,1),(90,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(68,1)}
        54:{2,3,5,6}:{(37,1),(38,1),(67,1),(71,1)}
        55:{2,3,4,7}:{(37,1),(68,1),(71,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(71,1),(72,1)}
        57:{1,3,4,6,7}:{(39,1),(40,1),(46,1),(72,1),(93,1),(95,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(44,1),(73,1),(74,1)}
        59:{1,3,4,6,7}:{(41,1),(43,1),(45,1),(68,1),(74,1),(93,1),(95,1)}
        60:{1,2,5,7}:{(42,1),(43,1),(74,1)}
        61:{2,4,5,6}:{(44,1),(47,1),(73,1),(76,1)}
        62:{2,3,5,7}:{(44,1),(45,1),(48,1),(74,1),(76,1)}
        63:{2,5,6,7}:{(46,1),(72,1)}
        64:{1,3,4,5,7}:{(47,1),(48,1),(76,1),(78,1)}
        65:{1,3,5,6,7}:{(48,1),(49,1),(77,1),(78,1),(93,1)}
        66:{2,3,4,6}:{(50,1),(51,1),(79,1),(80,1)}
        67:{1,3,5,6}:{(51,1),(52,1),(54,1),(79,1),(82,1)}
        68:{1,3,4,7}:{(51,1),(53,1),(55,1),(80,1),(82,1)}
        69:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(60,1),(82,1),(83,1),(86,1),(97,1)}
        70:{2,3,4,5,6}:{(54,1),(61,1),(81,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(85,1)}
        72:{2,4,6,7}:{(56,1),(57,1),(63,1),(85,1)}
        73:{1,4,5,6}:{(58,1),(61,1),(86,1)}
        74:{1,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(86,1)}
        75:{1,2,5,6,7}:{(60,1),(63,1),(83,1),(87,1),(104,1)}
        76:{2,4,5,7}:{(61,1),(62,1),(64,1),(86,1),(88,1)}
        77:{2,3,5,6,7}:{(62,1),(63,1),(65,1),(85,1),(87,1),(88,1),(98,1),(104,1)}
        78:{1,3,4,6,7}:{(64,1),(65,1),(88,1)}
        79:{2,3,5,6}:{(66,1),(67,1),(90,1),(91,1)}
        80:{2,3,4,7}:{(66,1),(68,1),(91,1)}
        81:{1,3,4,5,6}:{(67,1),(70,1),(73,1),(90,1),(92,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(71,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(72,1),(75,1),(93,1),(95,1),(102,1)}
        84:{2,3,4,5,7}:{(70,1),(71,1),(76,1),(92,1),(94,1)}
        85:{2,3,6,7}:{(71,1),(72,1),(93,1)}
        86:{1,4,5,7}:{(73,1),(74,1),(76,1),(95,1)}
        87:{1,3,5,6,7}:{(74,1),(75,1),(77,1),(93,1),(95,1)}
        88:{2,4,6,7}:{(76,1),(77,1),(78,1),(95,1)}
        89:{1,3,4,5,6,7}:{(78,1),(96,1),(103,1)}
        90:{2,4,5,6}:{(79,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(79,1),(80,1),(82,1),(97,1),(98,1)}
        92:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(86,1),(97,1),(99,1)}
        93:{1,3,6,7}:{(82,1),(83,1),(85,1),(98,1)}
        94:{2,3,4,6,7}:{(84,1),(85,1),(88,1),(99,1),(100,1)}
        95:{1,4,6,7}:{(86,1),(87,1),(88,1)}
        96:{2,4,5,6,7}:{(88,1),(89,1),(100,1),(101,1),(104,1)}
        97:{2,4,5,7}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,6,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6,7}:{(94,1),(96,1),(103,1)}
       101:{1,4,5,6,7}:{(95,1),(96,1),(103,1)}
       102:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,5,6,7}:{(102,1),(103,1)}

3116 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3117 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(12,1),(17,1),(37,1),(71,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(27,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(32,1),(71,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(8,1),(9,1),(27,1),(49,1),(87,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
         6:{1,2,3,5,6,7}:{(3,1),(11,1),(27,1),(51,1),(58,1),(90,1),(103,1)}
         7:{1,2,3,4,7}:{(12,1),(13,1),(71,1)}
         8:{2,3,4,5,7}:{(4,1),(14,1),(15,1),(40,1),(42,1),(64,1),(77,1),(94,1)}
         9:{1,3,4,6}:{(4,1),(5,1),(15,1),(16,1)}
        10:{1,2,4,5,6}:{(5,1),(16,1),(18,1),(34,1)}
        11:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(18,1),(71,1),(73,1)}
        12:{1,2,3,4,6}:{(7,1),(20,1),(23,1),(50,1)}
        13:{1,2,3,5,7}:{(7,1),(20,1),(22,1),(23,1)}
        14:{1,3,4,5,7}:{(8,1),(22,1),(24,1),(49,1),(57,1),(87,1)}
        15:{2,3,4,6}:{(8,1),(9,1),(24,1),(25,1)}
        16:{1,3,5,6}:{(9,1),(10,1),(25,1),(27,1)}
        17:{1,3,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(87,1),(103,1)}
        18:{1,2,4,5,7}:{(10,1),(11,1),(27,1),(53,1)}
        19:{1,3,4,5,6,7}:{(30,1),(54,1),(63,1)}
        20:{1,2,3,5}:{(12,1),(32,1)}
        21:{1,3,4,5,6}:{(16,1),(34,1),(35,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(36,1),(71,1),(74,1)}
        23:{1,2,3,6}:{(13,1),(36,1)}
        24:{1,3,4,6}:{(14,1),(15,1),(36,1),(38,1)}
        25:{2,3,5,6}:{(15,1),(16,1),(34,1),(38,1),(40,1)}
        26:{2,3,4,6,7}:{(15,1),(17,1),(39,1),(40,1),(73,1),(77,1),(94,1),(100,1),(104,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(18,1),(40,1)}
        28:{1,2,4,5,6,7}:{(18,1),(41,1),(46,1),(68,1),(73,1),(80,1),(97,1),(99,1)}
        29:{2,3,4,5,6}:{(34,1),(43,1),(44,1),(93,1)}
        30:{2,4,5,6,7}:{(19,1),(45,1),(46,1),(73,1),(80,1)}
        31:{1,3,4,5,6,7}:{(48,1),(54,1),(85,1)}
        32:{1,2,4,5}:{(20,1),(49,1),(50,1)}
        33:{1,2,3,5,6}:{(20,1),(23,1),(50,1),(51,1),(55,1),(86,1)}
        34:{2,4,5,6}:{(21,1),(25,1),(52,1),(53,1)}
        35:{1,3,4,5,7}:{(21,1),(27,1),(53,1),(54,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(55,1)}
        37:{1,2,3,6,7}:{(23,1),(51,1),(56,1),(103,1)}
        38:{1,3,5,6}:{(24,1),(25,1),(52,1),(55,1),(57,1)}
        39:{1,3,4,6,7}:{(24,1),(26,1),(56,1),(57,1),(87,1),(89,1),(103,1)}
        40:{2,3,5,7}:{(25,1),(26,1),(27,1),(53,1),(57,1)}
        41:{1,3,5,6,7}:{(27,1),(28,1),(54,1),(58,1),(103,1)}
        42:{2,3,4,5}:{(49,1),(59,1)}
        43:{1,3,4,5,6}:{(29,1),(52,1),(60,1),(61,1),(86,1)}
        44:{2,3,4,5,7}:{(29,1),(53,1),(61,1),(62,1),(101,1)}
        45:{2,3,5,6,7}:{(30,1),(62,1),(63,1)}
        46:{1,4,5,6,7}:{(30,1),(63,1),(89,1)}
        47:{2,3,4,5,6}:{(34,1),(65,1),(66,1),(76,1)}
        48:{2,4,5,6,7}:{(31,1),(67,1),(68,1),(73,1),(97,1)}
        49:{1,3,4,5}:{(32,1),(42,1),(64,1),(69,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(69,1),(71,1)}
        51:{1,2,3,5,7}:{(33,1),(37,1),(71,1),(74,1),(98,1)}
        52:{1,4,5,6}:{(34,1),(38,1),(72,1)}
        53:{2,4,5,7}:{(34,1),(35,1),(40,1),(72,1),(73,1)}
        54:{1,3,4,6,7}:{(35,1),(41,1),(73,1)}
        55:{1,2,5,6}:{(36,1),(38,1),(74,1)}
        56:{1,2,4,6,7}:{(36,1),(37,1),(39,1),(71,1),(74,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(40,1),(72,1),(74,1)}
        58:{2,3,5,6,7}:{(40,1),(41,1),(73,1),(75,1),(80,1),(97,1),(100,1),(104,1)}
        59:{2,3,4,6}:{(42,1),(69,1),(76,1),(77,1)}
        60:{2,4,5,6}:{(43,1),(76,1),(78,1)}
        61:{1,3,4,5,7}:{(43,1),(44,1),(72,1),(78,1),(79,1),(98,1)}
        62:{2,3,4,6,7}:{(44,1),(45,1),(73,1),(79,1),(104,1)}
        63:{1,3,5,6,7}:{(45,1),(46,1),(79,1),(80,1)}
        64:{2,3,4,5}:{(49,1),(81,1)}
        65:{1,3,4,5,6}:{(47,1),(52,1),(82,1),(83,1),(86,1)}
        66:{2,3,4,5,7}:{(47,1),(53,1),(83,1),(84,1),(91,1)}
        67:{2,3,5,6,7}:{(48,1),(84,1),(85,1)}
        68:{1,4,5,6,7}:{(48,1),(85,1),(89,1)}
        69:{1,3,4,6}:{(49,1),(50,1),(59,1),(81,1),(86,1),(87,1)}
        70:{1,2,4,5,6}:{(50,1),(52,1),(55,1),(60,1),(82,1),(86,1),(88,1)}
        71:{1,2,4,7}:{(50,1),(51,1),(87,1)}
        72:{1,4,5,7}:{(52,1),(53,1),(57,1),(89,1)}
        73:{2,4,6,7}:{(53,1),(54,1),(58,1),(89,1)}
        74:{1,2,5,7}:{(55,1),(56,1),(57,1)}
        75:{1,3,5,6,7}:{(57,1),(58,1),(89,1),(90,1),(103,1)}
        76:{2,3,5,6}:{(59,1),(60,1),(86,1),(91,1)}
        77:{2,3,4,7}:{(59,1),(87,1),(91,1)}
        78:{2,4,5,7}:{(60,1),(61,1),(91,1),(92,1)}
        79:{1,3,4,6,7}:{(61,1),(62,1),(63,1),(89,1),(92,1),(103,1)}
        80:{2,5,6,7}:{(63,1),(92,1)}
        81:{2,3,4,6}:{(64,1),(69,1),(93,1),(94,1)}
        82:{2,4,5,6}:{(65,1),(93,1),(95,1)}
        83:{1,3,4,5,7}:{(65,1),(66,1),(72,1),(95,1),(96,1),(98,1)}
        84:{2,3,4,6,7}:{(66,1),(67,1),(73,1),(96,1),(100,1)}
        85:{1,3,5,6,7}:{(67,1),(68,1),(96,1),(97,1)}
        86:{1,3,5,6}:{(69,1),(70,1),(76,1),(93,1),(98,1)}
        87:{1,3,4,7}:{(69,1),(71,1),(77,1),(94,1),(98,1)}
        88:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(78,1),(95,1),(98,1),(99,1)}
        89:{1,4,6,7}:{(72,1),(73,1),(75,1)}
        90:{1,2,5,6,7}:{(74,1),(75,1),(80,1),(97,1),(99,1)}
        91:{2,3,5,7}:{(76,1),(77,1),(78,1),(98,1),(100,1)}
        92:{2,4,6,7}:{(78,1),(79,1),(80,1),(100,1)}
        93:{2,3,5,6}:{(81,1),(82,1),(86,1),(101,1)}
        94:{2,3,4,7}:{(81,1),(87,1),(101,1)}
        95:{2,4,5,7}:{(82,1),(83,1),(101,1),(102,1)}
        96:{1,3,4,6,7}:{(83,1),(84,1),(85,1),(89,1),(102,1),(103,1)}
        97:{2,5,6,7}:{(85,1),(102,1)}
        98:{1,3,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1),(103,1)}
        99:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
       100:{2,3,6,7}:{(91,1),(92,1),(103,1)}
       101:{2,3,5,7}:{(93,1),(94,1),(95,1),(98,1),(104,1)}
       102:{2,4,6,7}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{2,3,6,7}:{(101,1),(102,1),(103,1)}

3118 :   0:{1,2,3,4,6,7}:{(1,1),(5,1),(20,1),(42,1),(77,1),(99,1)}
         1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(59,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(74,1),(99,1)}
         3:{1,2,3,5,6}:{(1,1),(5,1),(16,1)}
         4:{1,3,4,5,7}:{(2,1),(10,1),(11,1),(28,1),(85,1),(103,1)}
         5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
         6:{1,2,3,5,6,7}:{(3,1),(12,1),(26,1),(28,1),(58,1),(88,1),(90,1)}
         7:{1,3,4,5,6,7}:{(13,1),(25,1),(35,1)}
         8:{1,2,4,5,6,7}:{(15,1),(17,1),(22,1),(37,1),(40,1),(51,1),(70,1),(73,1)}
         9:{1,2,4,5,6}:{(5,1),(16,1),(17,1),(38,1)}
        10:{2,3,4,5,7}:{(4,1),(18,1),(19,1),(44,1),(78,1),(93,1),(100,1),(104,1)}
        11:{1,3,4,6}:{(4,1),(5,1),(16,1),(19,1)}
        12:{1,2,4,6,7}:{(5,1),(6,1),(17,1),(20,1),(40,1),(99,1)}
        13:{2,4,5,6,7}:{(7,1),(21,1),(22,1),(40,1),(51,1)}
        14:{1,3,4,5,6,7}:{(23,1),(25,1),(54,1)}
        15:{1,3,5,6,7}:{(8,1),(25,1),(26,1),(28,1),(88,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(27,1),(28,1)}
        17:{1,2,4,5,7}:{(9,1),(12,1),(28,1),(56,1)}
        18:{1,3,4,5,7}:{(10,1),(30,1),(31,1),(61,1),(85,1),(103,1)}
        19:{2,3,4,6}:{(10,1),(11,1),(27,1),(31,1)}
        20:{1,3,4,6,7}:{(11,1),(12,1),(28,1),(32,1),(88,1),(103,1)}
        21:{2,3,5,6,7}:{(13,1),(34,1),(35,1)}
        22:{1,4,5,6,7}:{(13,1),(35,1),(57,1)}
        23:{2,4,5,6,7}:{(14,1),(36,1),(37,1),(40,1),(70,1)}
        24:{1,3,4,5,6}:{(16,1),(38,1),(39,1)}
        25:{1,3,4,6,7}:{(15,1),(39,1),(40,1)}
        26:{2,3,5,6,7}:{(15,1),(40,1),(41,1),(44,1),(51,1),(70,1),(81,1),(96,1)}
        27:{2,3,5,6}:{(16,1),(19,1),(38,1),(43,1),(44,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(20,1),(44,1)}
        29:{1,2,3,4,7}:{(42,1),(45,1),(99,1)}
        30:{1,2,4,5,7}:{(18,1),(45,1),(46,1),(74,1),(76,1),(99,1)}
        31:{1,3,4,6}:{(18,1),(19,1),(43,1),(46,1)}
        32:{2,3,4,6,7}:{(19,1),(20,1),(40,1),(44,1),(47,1),(81,1),(96,1),(100,1),(104,1)}
        33:{2,3,4,5,6}:{(38,1),(48,1),(49,1),(94,1)}
        34:{2,3,4,6,7}:{(21,1),(40,1),(49,1),(50,1),(96,1)}
        35:{1,3,5,6,7}:{(21,1),(22,1),(50,1),(51,1)}
        36:{2,3,5,6,7}:{(23,1),(53,1),(54,1)}
        37:{1,4,5,6,7}:{(23,1),(54,1),(57,1)}
        38:{2,4,5,6}:{(24,1),(27,1),(55,1),(56,1)}
        39:{1,3,4,5,7}:{(24,1),(25,1),(28,1),(56,1)}
        40:{2,4,6,7}:{(25,1),(26,1),(56,1),(57,1)}
        41:{1,3,5,6,7}:{(26,1),(57,1),(58,1),(61,1),(88,1)}
        42:{1,2,3,4,6}:{(29,1),(59,1),(62,1),(89,1)}
        43:{1,3,5,6}:{(27,1),(31,1),(55,1),(60,1),(61,1)}
        44:{2,3,5,7}:{(27,1),(28,1),(32,1),(56,1),(61,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(59,1),(62,1)}
        46:{1,2,4,6}:{(30,1),(31,1),(60,1),(62,1)}
        47:{1,3,4,6,7}:{(31,1),(32,1),(57,1),(61,1),(63,1),(88,1),(103,1)}
        48:{1,3,4,5,6}:{(33,1),(55,1),(64,1),(65,1),(86,1)}
        49:{2,3,4,5,7}:{(33,1),(34,1),(56,1),(65,1),(102,1)}
        50:{1,3,4,6,7}:{(34,1),(35,1),(57,1),(65,1),(66,1),(88,1)}
        51:{2,5,6,7}:{(35,1),(66,1)}
        52:{2,3,4,5,6}:{(38,1),(67,1),(68,1),(79,1)}
        53:{2,3,4,6,7}:{(36,1),(40,1),(68,1),(69,1),(81,1)}
        54:{1,3,5,6,7}:{(36,1),(37,1),(69,1),(70,1)}
        55:{1,4,5,6}:{(38,1),(43,1),(72,1)}
        56:{2,4,5,7}:{(38,1),(39,1),(40,1),(44,1),(72,1)}
        57:{1,4,6,7}:{(40,1),(41,1),(72,1)}
        58:{1,2,5,6,7}:{(41,1),(51,1),(70,1),(73,1),(76,1)}
        59:{1,2,3,5}:{(42,1),(74,1)}
        60:{1,2,5,6}:{(43,1),(46,1),(76,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(47,1),(72,1),(76,1)}
        62:{1,2,3,6}:{(45,1),(46,1)}
        63:{1,2,4,6,7}:{(46,1),(47,1),(76,1),(77,1),(99,1)}
        64:{2,4,5,6}:{(48,1),(79,1),(80,1)}
        65:{1,3,4,5,7}:{(48,1),(49,1),(50,1),(72,1),(80,1),(98,1)}
        66:{2,4,6,7}:{(50,1),(51,1),(80,1),(81,1)}
        67:{1,3,4,5,6}:{(52,1),(55,1),(82,1),(83,1),(86,1)}
        68:{2,3,4,5,7}:{(52,1),(53,1),(56,1),(83,1),(92,1)}
        69:{1,3,4,6,7}:{(53,1),(54,1),(57,1),(83,1),(84,1),(88,1)}
        70:{2,5,6,7}:{(54,1),(84,1)}
        71:{1,2,4,5,6}:{(55,1),(60,1),(64,1),(82,1),(86,1),(87,1),(89,1)}
        72:{1,4,5,7}:{(55,1),(56,1),(57,1),(61,1)}
        73:{1,2,4,6,7}:{(57,1),(58,1),(66,1),(84,1),(87,1),(88,1)}
        74:{1,2,4,5}:{(59,1),(85,1),(89,1)}
        75:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(86,1),(89,1),(90,1)}
        76:{1,2,5,7}:{(60,1),(61,1),(63,1)}
        77:{1,2,3,6,7}:{(62,1),(63,1),(88,1),(90,1)}
        78:{2,3,4,5}:{(85,1),(91,1)}
        79:{2,3,5,6}:{(64,1),(86,1),(91,1),(92,1)}
        80:{2,4,5,7}:{(64,1),(65,1),(66,1),(92,1)}
        81:{2,3,6,7}:{(66,1),(88,1),(92,1)}
        82:{2,4,5,6}:{(67,1),(94,1),(95,1)}
        83:{1,3,4,5,7}:{(67,1),(68,1),(69,1),(72,1),(95,1),(98,1)}
        84:{2,4,6,7}:{(69,1),(70,1),(95,1),(96,1)}
        85:{1,3,4,5}:{(74,1),(78,1),(93,1),(97,1)}
        86:{1,3,5,6}:{(71,1),(79,1),(94,1),(97,1),(98,1)}
        87:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(76,1),(80,1),(95,1),(98,1),(99,1)}
        88:{1,3,6,7}:{(73,1),(81,1),(96,1),(98,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(97,1),(99,1)}
        90:{1,2,3,5,7}:{(75,1),(76,1),(77,1),(98,1),(99,1)}
        91:{2,3,4,6}:{(78,1),(79,1),(97,1),(100,1)}
        92:{2,3,5,7}:{(79,1),(80,1),(81,1),(98,1),(100,1)}
        93:{2,3,4,5}:{(85,1),(101,1)}
        94:{2,3,5,6}:{(82,1),(86,1),(101,1),(102,1)}
        95:{2,4,5,7}:{(82,1),(83,1),(84,1),(102,1)}
        96:{2,3,6,7}:{(84,1),(88,1),(102,1)}
        97:{1,3,4,6}:{(85,1),(86,1),(89,1),(91,1),(101,1),(103,1)}
        98:{1,3,5,7}:{(86,1),(87,1),(88,1),(92,1),(102,1),(103,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1)}
       100:{2,3,4,7}:{(91,1),(92,1),(103,1)}
       101:{2,3,4,6}:{(93,1),(94,1),(97,1),(104,1)}
       102:{2,3,5,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       103:{1,3,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{2,3,4,7}:{(101,1),(102,1),(103,1)}

3119 :   0:{1,2,3,4,6,7}:{(2,1),(12,1),(13,1),(62,1),(86,1),(87,1)}
         1:{1,2,3,5,6,7}:{(5,1),(6,1),(19,1),(21,1),(45,1),(73,1),(75,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(21,1),(95,1)}
         3:{1,3,4,5,6,7}:{(8,1),(18,1),(26,1)}
         4:{1,2,4,5,6,7}:{(10,1),(11,1),(16,1),(28,1),(30,1),(39,1),(56,1),(59,1)}
         5:{1,2,4,6,7}:{(1,1),(11,1),(12,1),(13,1),(30,1),(86,1)}
         6:{1,2,3,5,6}:{(2,1),(13,1),(32,1)}
         7:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(86,1),(100,1)}
         8:{2,4,5,6,7}:{(3,1),(15,1),(16,1),(30,1),(39,1)}
         9:{1,3,4,5,6,7}:{(17,1),(18,1),(41,1)}
        10:{1,3,5,6,7}:{(4,1),(18,1),(19,1),(21,1),(73,1)}
        11:{1,2,4,5,7}:{(5,1),(20,1),(21,1),(43,1)}
        12:{1,3,4,6,7}:{(5,1),(21,1),(22,1),(23,1),(73,1),(93,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(23,1)}
        14:{1,3,4,5,7}:{(7,1),(21,1),(23,1),(24,1),(93,1),(103,1)}
        15:{2,3,5,6,7}:{(8,1),(25,1),(26,1)}
        16:{1,4,5,6,7}:{(8,1),(26,1),(44,1)}
        17:{2,4,5,6,7}:{(9,1),(27,1),(28,1),(30,1),(56,1)}
        18:{1,3,4,6,7}:{(10,1),(29,1),(30,1)}
        19:{2,3,5,6,7}:{(10,1),(30,1),(31,1),(33,1),(39,1),(56,1),(67,1),(82,1)}
        20:{1,2,4,5,6}:{(11,1),(13,1),(32,1),(57,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(32,1),(33,1)}
        22:{2,3,4,6,7}:{(12,1),(30,1),(33,1),(34,1),(35,1),(67,1),(82,1),(89,1),(98,1)}
        23:{1,3,4,6}:{(13,1),(14,1),(32,1),(35,1)}
        24:{2,3,4,5,7}:{(14,1),(33,1),(35,1),(36,1),(89,1),(98,1),(101,1),(104,1)}
        25:{2,3,4,6,7}:{(15,1),(30,1),(37,1),(38,1),(82,1)}
        26:{1,3,5,6,7}:{(15,1),(16,1),(38,1),(39,1)}
        27:{2,3,5,6,7}:{(17,1),(40,1),(41,1)}
        28:{1,4,5,6,7}:{(17,1),(41,1),(44,1)}
        29:{1,3,4,5,7}:{(18,1),(21,1),(42,1),(43,1)}
        30:{2,4,6,7}:{(18,1),(19,1),(43,1),(44,1)}
        31:{1,3,5,6,7}:{(19,1),(44,1),(45,1),(47,1),(73,1)}
        32:{1,3,5,6}:{(20,1),(21,1),(23,1),(46,1)}
        33:{2,3,5,7}:{(21,1),(22,1),(43,1),(46,1),(47,1)}
        34:{1,3,4,6,7}:{(22,1),(44,1),(47,1),(48,1),(49,1),(73,1),(93,1)}
        35:{2,3,4,6}:{(23,1),(24,1),(46,1),(49,1)}
        36:{1,3,4,5,7}:{(24,1),(47,1),(49,1),(50,1),(93,1),(103,1)}
        37:{2,3,4,5,7}:{(25,1),(43,1),(51,1),(52,1),(91,1)}
        38:{1,3,4,6,7}:{(25,1),(26,1),(44,1),(52,1),(53,1),(73,1)}
        39:{2,5,6,7}:{(26,1),(53,1)}
        40:{2,3,4,6,7}:{(27,1),(30,1),(54,1),(55,1),(67,1)}
        41:{1,3,5,6,7}:{(27,1),(28,1),(55,1),(56,1)}
        42:{1,3,4,5,6}:{(29,1),(32,1),(57,1)}
        43:{2,4,5,7}:{(29,1),(30,1),(33,1),(57,1),(58,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        45:{1,2,5,6,7}:{(31,1),(39,1),(56,1),(59,1),(61,1)}
        46:{2,3,5,6}:{(32,1),(33,1),(35,1),(57,1),(60,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(58,1),(60,1),(61,1)}
        48:{1,2,4,6,7}:{(34,1),(61,1),(62,1),(63,1),(86,1)}
        49:{1,3,4,6}:{(35,1),(36,1),(60,1),(63,1)}
        50:{1,2,4,5,7}:{(36,1),(61,1),(63,1),(64,1),(86,1),(100,1)}
        51:{2,3,4,5,6}:{(37,1),(57,1),(65,1),(97,1)}
        52:{1,3,4,5,7}:{(37,1),(38,1),(58,1),(65,1),(66,1),(84,1)}
        53:{2,4,6,7}:{(38,1),(39,1),(66,1),(67,1)}
        54:{2,3,4,5,7}:{(40,1),(43,1),(68,1),(69,1),(79,1)}
        55:{1,3,4,6,7}:{(40,1),(41,1),(44,1),(69,1),(70,1),(73,1)}
        56:{2,5,6,7}:{(41,1),(70,1)}
        57:{2,4,5,6}:{(42,1),(43,1),(46,1),(71,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(47,1),(71,1)}
        59:{1,2,4,6,7}:{(44,1),(45,1),(53,1),(70,1),(72,1),(73,1)}
        60:{1,3,5,6}:{(46,1),(47,1),(49,1),(71,1),(74,1)}
        61:{1,2,5,7}:{(47,1),(48,1),(74,1)}
        62:{1,2,3,6,7}:{(48,1),(73,1),(75,1),(76,1)}
        63:{1,2,4,6}:{(49,1),(50,1),(74,1),(76,1)}
        64:{1,2,3,5,7}:{(50,1),(76,1),(77,1),(95,1)}
        65:{1,3,4,5,6}:{(51,1),(52,1),(71,1),(78,1),(92,1)}
        66:{2,4,5,7}:{(52,1),(53,1),(78,1),(79,1)}
        67:{2,3,6,7}:{(53,1),(73,1),(79,1)}
        68:{2,3,4,5,6}:{(54,1),(57,1),(80,1),(88,1)}
        69:{1,3,4,5,7}:{(54,1),(55,1),(58,1),(80,1),(81,1),(84,1)}
        70:{2,4,6,7}:{(55,1),(56,1),(81,1),(82,1)}
        71:{1,4,5,6}:{(57,1),(58,1),(60,1)}
        72:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(66,1),(81,1),(83,1),(84,1),(86,1)}
        73:{1,3,6,7}:{(59,1),(67,1),(82,1),(84,1)}
        74:{1,2,5,6}:{(60,1),(61,1),(63,1)}
        75:{1,2,3,5,7}:{(61,1),(62,1),(84,1),(85,1),(86,1)}
        76:{1,2,3,6}:{(63,1),(64,1)}
        77:{1,2,3,4,7}:{(64,1),(86,1),(87,1)}
        78:{2,4,5,6}:{(65,1),(66,1),(88,1)}
        79:{2,3,5,7}:{(66,1),(67,1),(84,1),(88,1),(89,1)}
        80:{1,3,4,5,6}:{(68,1),(69,1),(71,1),(90,1),(92,1)}
        81:{2,4,5,7}:{(69,1),(70,1),(90,1),(91,1)}
        82:{2,3,6,7}:{(70,1),(73,1),(91,1)}
        83:{1,2,4,5,6}:{(71,1),(72,1),(74,1),(78,1),(90,1),(92,1),(94,1)}
        84:{1,3,5,7}:{(72,1),(73,1),(79,1),(91,1),(92,1),(93,1)}
        85:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(92,1),(94,1),(95,1)}
        86:{1,2,4,7}:{(75,1),(93,1),(94,1)}
        87:{1,2,3,4,6}:{(76,1),(77,1),(94,1),(95,1)}
        88:{2,3,5,6}:{(78,1),(79,1),(92,1),(96,1)}
        89:{2,3,4,7}:{(79,1),(93,1),(96,1)}
        90:{2,4,5,6}:{(80,1),(81,1),(97,1)}
        91:{2,3,5,7}:{(81,1),(82,1),(84,1),(97,1),(98,1)}
        92:{1,3,5,6}:{(83,1),(84,1),(88,1),(97,1),(99,1)}
        93:{1,3,4,7}:{(84,1),(86,1),(89,1),(98,1),(99,1)}
        94:{1,2,4,6}:{(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,3,5}:{(87,1),(100,1)}
        96:{2,3,4,6}:{(88,1),(89,1),(99,1),(101,1)}
        97:{2,3,5,6}:{(90,1),(91,1),(92,1),(102,1)}
        98:{2,3,4,7}:{(91,1),(93,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,4,5}:{(94,1),(95,1),(103,1)}
       101:{2,3,4,5}:{(96,1),(103,1)}
       102:{2,3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       103:{1,3,4,5}:{(99,1),(100,1),(101,1),(104,1)}
       104:{2,3,4,5}:{(102,1),(103,1)}

3120 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

3121 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(19,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(19,1),(20,1)}
       17:{1,2,5,6,7}:{(13,1),(20,1)}
       18:{2,3,5,6,7}:{(14,1),(20,1),(21,1)}
       19:{2,3,4,6,7}:{(15,1),(16,1),(22,1)}
       20:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(22,1),(23,1)}
       21:{2,4,5,6,7}:{(18,1),(23,1),(24,1)}
       22:{2,3,5,6,7}:{(19,1),(20,1),(25,1)}
       23:{1,4,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{3,4,5,6,7}:{(21,1)}
       25:{2,4,5,6,7}:{(22,1),(23,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3122 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(14,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(29,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(57,1),(86,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{1,2,4,5}:{(2,1),(13,1),(14,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(14,1),(15,1),(43,1),(45,1)}
         7:{2,3,4,5}:{(13,1),(17,1)}
         8:{1,3,4,5,6}:{(3,1),(18,1),(19,1),(45,1),(77,1),(81,1)}
         9:{2,3,4,5,7}:{(3,1),(19,1),(20,1),(75,1),(97,1)}
        10:{2,3,4,5,6}:{(22,1),(23,1),(33,1),(67,1)}
        11:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(25,1),(29,1),(63,1)}
        12:{1,2,3,6}:{(4,1),(25,1)}
        13:{1,3,4,5}:{(5,1),(7,1),(21,1),(27,1)}
        14:{1,2,4,6}:{(5,1),(6,1),(27,1),(29,1)}
        15:{1,2,3,5,7}:{(6,1),(26,1),(29,1),(63,1),(64,1)}
        16:{2,3,4,5,7}:{(7,1),(24,1),(31,1),(34,1),(68,1)}
        17:{2,3,4,6}:{(7,1),(27,1),(33,1),(34,1)}
        18:{2,4,5,6}:{(8,1),(33,1),(35,1)}
        19:{1,3,4,5,7}:{(8,1),(9,1),(35,1),(36,1),(64,1),(90,1),(92,1)}
        20:{2,3,4,6,7}:{(9,1),(32,1),(36,1),(89,1),(103,1)}
        21:{2,3,4,5}:{(13,1),(38,1)}
        22:{1,3,4,5,6}:{(10,1),(39,1),(40,1),(45,1),(77,1),(95,1)}
        23:{2,3,4,5,7}:{(10,1),(40,1),(41,1),(52,1),(83,1)}
        24:{1,3,4,5,7}:{(11,1),(13,1),(16,1),(37,1),(42,1),(46,1),(78,1)}
        25:{1,2,4,6}:{(11,1),(12,1),(42,1),(43,1)}
        26:{1,2,3,6,7}:{(12,1),(15,1),(44,1),(80,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(17,1),(38,1),(45,1),(46,1)}
        28:{1,2,4,5,6}:{(14,1),(18,1),(39,1),(43,1),(45,1),(47,1),(77,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(46,1)}
        30:{3,4,5,6,7}:{(48,1),(104,1)}
        31:{2,3,4,6}:{(16,1),(42,1),(49,1)}
        32:{2,3,5,6,7}:{(20,1),(48,1),(51,1)}
        33:{2,3,5,6}:{(17,1),(18,1),(45,1),(52,1)}
        34:{2,3,4,7}:{(17,1),(46,1),(52,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(52,1),(53,1)}
        36:{1,3,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(80,1),(99,1),(100,1)}
        37:{2,3,4,5,7}:{(21,1),(24,1),(55,1),(58,1),(87,1)}
        38:{2,3,4,6}:{(21,1),(27,1),(57,1),(58,1)}
        39:{2,4,5,6}:{(22,1),(57,1),(59,1)}
        40:{1,3,4,5,7}:{(22,1),(23,1),(59,1),(60,1),(64,1),(90,1),(101,1)}
        41:{2,3,4,6,7}:{(23,1),(56,1),(60,1),(70,1),(94,1)}
        42:{1,3,4,6}:{(24,1),(25,1),(31,1),(55,1),(61,1)}
        43:{1,2,5,6}:{(25,1),(61,1),(63,1)}
        44:{1,2,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(63,1)}
        45:{1,3,5,6}:{(27,1),(28,1),(33,1),(57,1),(64,1)}
        46:{1,3,4,7}:{(27,1),(29,1),(34,1),(58,1),(64,1)}
        47:{1,2,4,5,7}:{(28,1),(29,1),(35,1),(59,1),(63,1),(64,1),(65,1),(90,1)}
        48:{2,4,5,6,7}:{(30,1),(32,1),(66,1),(103,1)}
        49:{2,3,5,6}:{(31,1),(61,1),(67,1),(68,1)}
        50:{2,3,4,6,7}:{(31,1),(34,1),(62,1),(68,1),(70,1),(94,1)}
        51:{1,3,5,6,7}:{(32,1),(36,1),(66,1),(69,1),(93,1)}
        52:{2,3,5,7}:{(33,1),(34,1),(35,1),(64,1),(70,1)}
        53:{2,4,6,7}:{(35,1),(36,1),(69,1),(70,1)}
        54:{3,4,5,6,7}:{(71,1),(100,1)}
        55:{2,3,4,6}:{(37,1),(42,1),(72,1)}
        56:{2,3,5,6,7}:{(41,1),(71,1),(74,1)}
        57:{2,3,5,6}:{(38,1),(39,1),(45,1),(75,1)}
        58:{2,3,4,7}:{(38,1),(46,1),(75,1)}
        59:{2,4,5,7}:{(39,1),(40,1),(75,1),(76,1)}
        60:{1,3,4,6,7}:{(40,1),(41,1),(74,1),(76,1),(80,1),(99,1),(104,1)}
        61:{1,3,5,6}:{(42,1),(43,1),(49,1),(72,1),(77,1),(78,1)}
        62:{1,3,4,6,7}:{(42,1),(44,1),(46,1),(50,1),(73,1),(78,1),(80,1),(99,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(78,1)}
        64:{1,3,5,7}:{(45,1),(46,1),(47,1),(52,1),(75,1),(80,1)}
        65:{1,2,4,6,7}:{(47,1),(53,1),(76,1),(79,1),(80,1),(99,1)}
        66:{1,4,5,6,7}:{(48,1),(51,1),(82,1),(99,1)}
        67:{2,4,5,6}:{(49,1),(77,1),(81,1),(83,1)}
        68:{2,3,5,7}:{(49,1),(50,1),(78,1),(83,1)}
        69:{2,5,6,7}:{(51,1),(53,1)}
        70:{2,3,6,7}:{(52,1),(53,1),(80,1)}
        71:{2,4,5,6,7}:{(54,1),(56,1),(85,1),(94,1)}
        72:{2,3,5,6}:{(55,1),(61,1),(86,1),(87,1)}
        73:{2,3,4,6,7}:{(55,1),(58,1),(62,1),(87,1),(89,1),(103,1)}
        74:{1,3,5,6,7}:{(56,1),(60,1),(85,1),(88,1),(102,1)}
        75:{2,3,5,7}:{(57,1),(58,1),(59,1),(64,1),(89,1)}
        76:{2,4,6,7}:{(59,1),(60,1),(88,1),(89,1)}
        77:{1,4,5,6}:{(61,1),(67,1),(86,1),(90,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(63,1),(68,1),(87,1),(90,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(69,1),(88,1),(91,1)}
        80:{1,3,6,7}:{(64,1),(65,1),(70,1),(89,1)}
        81:{3,4,5,6}:{(67,1),(92,1)}
        82:{2,4,5,6,7}:{(66,1),(69,1),(93,1),(94,1)}
        83:{2,4,5,7}:{(67,1),(68,1),(90,1),(92,1),(94,1)}
        84:{2,3,5,6,7}:{(68,1),(69,1),(70,1),(91,1),(93,1),(94,1)}
        85:{1,4,5,6,7}:{(71,1),(74,1),(96,1),(99,1)}
        86:{2,4,5,6}:{(72,1),(77,1),(95,1),(97,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(78,1),(97,1)}
        88:{2,5,6,7}:{(74,1),(76,1)}
        89:{2,3,6,7}:{(75,1),(76,1),(80,1)}
        90:{1,4,5,7}:{(77,1),(78,1),(83,1),(97,1),(99,1)}
        91:{1,3,5,6,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(100,1)}
        93:{3,5,6,7}:{(82,1),(100,1)}
        94:{2,4,6,7}:{(83,1),(84,1),(99,1),(100,1)}
        95:{3,4,5,6}:{(86,1),(101,1)}
        96:{2,4,5,6,7}:{(85,1),(88,1),(102,1),(103,1)}
        97:{2,4,5,7}:{(86,1),(87,1),(90,1),(101,1),(103,1)}
        98:{2,3,5,6,7}:{(87,1),(88,1),(89,1),(91,1),(102,1),(103,1)}
        99:{1,4,6,7}:{(90,1),(91,1),(94,1),(103,1)}
       100:{3,4,6,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{3,5,6,7}:{(96,1),(104,1)}
       103:{2,4,6,7}:{(97,1),(98,1),(99,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

3123 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3124 :  0:{2,3,4,5,6,7}:{(1,1),(10,1),(44,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(6,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(52,1)}
        3:{1,2,4,5,6,7}:{(2,1),(6,1),(16,1),(31,1)}
        4:{2,3,5,6,7}:{(2,1),(6,1),(7,1),(47,1)}
        5:{2,3,4,5,6,7}:{(9,1),(12,1),(37,1)}
        6:{1,3,5,6,7}:{(3,1),(4,1),(10,1),(11,1),(41,1)}
        7:{2,3,4,6,7}:{(4,1),(11,1),(12,1)}
        8:{1,2,3,4,6,7}:{(14,1),(29,1),(32,1)}
        9:{1,3,4,5,6,7}:{(5,1),(15,1),(17,1),(28,1)}
       10:{2,3,5,6,7}:{(6,1),(16,1),(34,1)}
       11:{1,3,4,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{2,3,4,5,7}:{(7,1),(17,1),(18,1),(47,1)}
       13:{1,2,3,5,6,7}:{(10,1),(20,1),(22,1),(37,1),(41,1)}
       14:{1,2,3,5,7}:{(8,1),(21,1),(22,1),(41,1)}
       15:{2,4,5,6,7}:{(9,1),(23,1),(26,1)}
       16:{2,4,6,7}:{(10,1),(11,1),(26,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(26,1),(27,1),(41,1)}
       18:{2,3,4,5,6}:{(12,1),(27,1),(53,1)}
       19:{1,2,4,5,6,7}:{(15,1),(28,1),(31,1),(46,1)}
       20:{1,2,4,6,7}:{(13,1),(16,1),(29,1),(31,1),(32,1),(46,1)}
       21:{1,2,4,5,7}:{(14,1),(30,1),(32,1)}
       22:{1,2,3,5,6}:{(14,1),(32,1),(50,1)}
       23:{2,3,5,6,7}:{(15,1),(28,1),(33,1),(34,1)}
       24:{2,3,4,6,7}:{(16,1),(29,1),(34,1),(35,1)}
       25:{2,3,4,5,7}:{(30,1),(34,1),(35,1)}
       26:{2,4,5,7}:{(16,1),(17,1),(34,1),(36,1)}
       27:{1,3,4,5,6}:{(17,1),(18,1),(36,1),(50,1)}
       28:{1,3,5,6,7}:{(19,1),(23,1),(37,1),(40,1),(41,1)}
       29:{1,3,4,6,7}:{(20,1),(24,1),(38,1),(41,1),(42,1)}
       30:{1,3,4,5,7}:{(21,1),(25,1),(39,1),(41,1),(42,1)}
       31:{1,2,4,5,7}:{(20,1),(26,1),(41,1),(43,1),(52,1)}
       32:{1,2,4,6}:{(21,1),(22,1),(42,1)}
       33:{2,3,4,6,7}:{(23,1),(40,1),(44,1)}
       34:{2,3,5,7}:{(24,1),(26,1),(41,1),(45,1)}
       35:{2,3,4,6}:{(25,1),(42,1),(45,1)}
       36:{2,4,5,6}:{(26,1),(27,1),(45,1)}
       37:{2,3,5,6,7}:{(28,1),(46,1),(47,1)}
       38:{2,3,4,6,7}:{(29,1),(46,1),(47,1),(48,1)}
       39:{2,3,4,5,7}:{(30,1),(47,1),(48,1)}
       40:{1,3,4,6,7}:{(28,1),(33,1),(46,1),(49,1)}
       41:{1,3,5,7}:{(29,1),(31,1),(34,1),(47,1),(50,1)}
       42:{1,3,4,6}:{(30,1),(32,1),(35,1),(48,1),(50,1)}
       43:{1,2,4,5,6}:{(31,1),(32,1),(36,1),(50,1),(55,1)}
       44:{2,3,4,5,7}:{(33,1),(34,1),(49,1),(51,1)}
       45:{2,3,5,6}:{(34,1),(35,1),(36,1),(50,1)}
       46:{2,4,6,7}:{(37,1),(40,1),(52,1)}
       47:{2,3,5,7}:{(38,1),(41,1),(52,1),(53,1)}
       48:{2,3,4,6}:{(39,1),(42,1),(53,1)}
       49:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(54,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(43,1),(45,1),(53,1)}
       51:{2,3,4,5,6}:{(44,1),(45,1),(54,1)}
       52:{2,4,5,7}:{(46,1),(47,1),(49,1),(55,1)}
       53:{2,3,5,6}:{(47,1),(48,1),(50,1),(55,1)}
       54:{1,3,4,5,6}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,5,6}:{(52,1),(53,1),(54,1)}

3125 :   0:{2,3,4,5,6}:{(2,1),(3,1),(42,1),(96,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(29,1),(30,1)}
         2:{1,3,4,5,6}:{(0,1),(8,1),(9,1),(26,1),(89,1),(92,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(9,1),(61,1),(103,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(20,1),(82,1)}
         5:{1,2,3,4,7}:{(1,1),(13,1),(50,1)}
         6:{1,2,3,5}:{(1,1),(14,1)}
         7:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(75,1),(97,1)}
         8:{2,4,5,6}:{(2,1),(20,1),(21,1)}
         9:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(21,1),(47,1),(99,1),(100,1)}
        10:{1,3,4,5,6}:{(4,1),(23,1),(24,1),(26,1),(89,1),(101,1)}
        11:{2,3,4,5,7}:{(4,1),(22,1),(24,1),(37,1),(94,1)}
        12:{1,2,4,5,6}:{(8,1),(23,1),(26,1),(27,1),(30,1),(66,1),(89,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        14:{1,2,4,5}:{(6,1),(25,1),(30,1)}
        15:{1,2,3,5,6}:{(6,1),(26,1),(29,1),(30,1),(31,1),(66,1)}
        16:{3,4,5,6,7}:{(32,1),(102,1)}
        17:{2,3,5,6,7}:{(7,1),(32,1),(33,1)}
        18:{1,3,4,6,7}:{(7,1),(9,1),(33,1),(35,1),(64,1),(90,1),(93,1)}
        19:{2,3,4,5}:{(25,1),(36,1)}
        20:{2,3,5,6}:{(8,1),(26,1),(36,1),(37,1)}
        21:{2,4,5,7}:{(8,1),(9,1),(35,1),(37,1)}
        22:{2,3,4,6,7}:{(11,1),(39,1),(40,1),(54,1),(83,1)}
        23:{2,4,5,6}:{(10,1),(42,1),(43,1)}
        24:{1,3,4,5,7}:{(10,1),(11,1),(40,1),(43,1),(47,1),(99,1),(104,1)}
        25:{1,3,4,5}:{(14,1),(19,1),(41,1),(46,1)}
        26:{1,3,5,6}:{(12,1),(20,1),(42,1),(46,1),(47,1)}
        27:{1,2,4,5,7}:{(12,1),(21,1),(43,1),(45,1),(47,1),(50,1),(80,1),(99,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(44,1),(48,1),(50,1),(80,1)}
        29:{1,2,3,6}:{(13,1),(48,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(46,1),(50,1)}
        31:{1,2,3,5,7}:{(15,1),(47,1),(49,1),(50,1),(80,1)}
        32:{2,4,5,6,7}:{(16,1),(17,1),(51,1),(97,1)}
        33:{1,3,5,6,7}:{(17,1),(18,1),(51,1),(52,1),(81,1)}
        34:{2,3,4,5,7}:{(19,1),(44,1),(53,1),(55,1),(84,1)}
        35:{2,4,6,7}:{(18,1),(21,1),(52,1),(54,1)}
        36:{2,3,4,6}:{(19,1),(20,1),(46,1),(55,1)}
        37:{2,3,5,7}:{(20,1),(21,1),(47,1),(54,1),(55,1)}
        38:{3,4,5,6,7}:{(56,1),(93,1)}
        39:{2,3,5,6,7}:{(22,1),(56,1),(57,1)}
        40:{1,3,4,6,7}:{(22,1),(24,1),(57,1),(59,1),(64,1),(90,1),(102,1)}
        41:{2,3,4,5}:{(25,1),(60,1)}
        42:{2,3,5,6}:{(23,1),(26,1),(60,1),(61,1)}
        43:{2,4,5,7}:{(23,1),(24,1),(59,1),(61,1)}
        44:{1,3,4,5,7}:{(25,1),(28,1),(34,1),(58,1),(63,1),(65,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(35,1),(59,1),(62,1),(64,1),(90,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(30,1),(36,1),(60,1),(65,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(37,1),(61,1),(64,1),(65,1)}
        48:{1,2,4,6}:{(28,1),(29,1),(63,1),(66,1)}
        49:{1,2,3,6,7}:{(29,1),(31,1),(64,1),(67,1)}
        50:{1,2,4,7}:{(30,1),(31,1),(65,1)}
        51:{1,4,5,6,7}:{(32,1),(33,1),(68,1),(90,1)}
        52:{2,5,6,7}:{(33,1),(35,1)}
        53:{2,3,4,6}:{(34,1),(63,1),(70,1)}
        54:{2,3,6,7}:{(35,1),(37,1),(64,1)}
        55:{2,3,4,7}:{(36,1),(37,1),(65,1)}
        56:{2,4,5,6,7}:{(38,1),(39,1),(72,1),(83,1)}
        57:{1,3,5,6,7}:{(39,1),(40,1),(72,1),(73,1),(95,1)}
        58:{2,3,4,5,7}:{(41,1),(44,1),(74,1),(76,1),(98,1)}
        59:{2,4,6,7}:{(40,1),(43,1),(73,1),(75,1)}
        60:{2,3,4,6}:{(41,1),(42,1),(46,1),(76,1)}
        61:{2,3,5,7}:{(42,1),(43,1),(47,1),(75,1),(76,1)}
        62:{1,2,5,6,7}:{(45,1),(52,1),(73,1),(77,1),(80,1)}
        63:{1,3,4,6}:{(44,1),(48,1),(53,1),(74,1),(78,1)}
        64:{1,3,6,7}:{(45,1),(47,1),(54,1),(75,1)}
        65:{1,3,4,7}:{(46,1),(47,1),(50,1),(55,1),(76,1)}
        66:{1,2,5,6}:{(48,1),(78,1),(80,1)}
        67:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1)}
        68:{2,4,5,6,7}:{(51,1),(52,1),(81,1),(83,1)}
        69:{2,3,5,6,7}:{(52,1),(54,1),(77,1),(81,1),(83,1),(84,1)}
        70:{2,3,5,6}:{(53,1),(78,1),(82,1),(84,1)}
        71:{2,3,4,6,7}:{(53,1),(54,1),(55,1),(79,1),(83,1),(84,1)}
        72:{1,4,5,6,7}:{(56,1),(57,1),(85,1),(90,1)}
        73:{2,5,6,7}:{(57,1),(59,1)}
        74:{2,3,4,6}:{(58,1),(63,1),(87,1)}
        75:{2,3,6,7}:{(59,1),(61,1),(64,1)}
        76:{2,3,4,7}:{(60,1),(61,1),(65,1)}
        77:{1,3,5,6,7}:{(62,1),(64,1),(69,1),(86,1),(90,1),(91,1)}
        78:{1,3,5,6}:{(63,1),(66,1),(70,1),(87,1),(89,1),(91,1)}
        79:{1,3,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(71,1),(88,1),(90,1),(91,1)}
        80:{1,2,5,7}:{(66,1),(67,1),(91,1)}
        81:{3,5,6,7}:{(68,1),(93,1)}
        82:{2,4,5,6}:{(70,1),(89,1),(92,1),(94,1)}
        83:{2,4,6,7}:{(69,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(70,1),(71,1),(91,1),(94,1)}
        85:{2,4,5,6,7}:{(72,1),(73,1),(95,1),(97,1)}
        86:{2,3,5,6,7}:{(73,1),(75,1),(77,1),(95,1),(97,1),(98,1)}
        87:{2,3,5,6}:{(74,1),(78,1),(96,1),(98,1)}
        88:{2,3,4,6,7}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        89:{1,4,5,6}:{(78,1),(82,1),(96,1),(99,1)}
        90:{1,4,6,7}:{(77,1),(83,1),(97,1),(99,1)}
        91:{1,3,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(99,1)}
        92:{3,4,5,6}:{(82,1),(100,1)}
        93:{3,4,6,7}:{(81,1),(83,1),(100,1)}
        94:{2,4,5,7}:{(82,1),(83,1),(84,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(85,1),(102,1)}
        96:{2,4,5,6}:{(87,1),(89,1),(101,1),(103,1)}
        97:{2,4,6,7}:{(86,1),(90,1),(102,1),(103,1)}
        98:{2,3,5,7}:{(87,1),(88,1),(91,1),(103,1)}
        99:{1,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(103,1)}
       100:{3,4,5,7}:{(92,1),(93,1),(94,1)}
       101:{3,4,5,6}:{(96,1),(104,1)}
       102:{3,4,6,7}:{(95,1),(97,1),(104,1)}
       103:{2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

3126 :   0:{1,2,3,4,6}:{(1,1),(2,1),(12,1),(16,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(31,1)}
         2:{1,2,3,5}:{(0,1),(6,1)}
         3:{2,3,4,5,6}:{(9,1),(10,1),(61,1),(81,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(11,1),(12,1)}
         5:{3,4,5,6,7}:{(14,1),(102,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,3,5,6}:{(2,1),(12,1),(16,1),(17,1),(38,1),(46,1)}
         8:{2,3,4,5}:{(15,1),(18,1)}
         9:{1,3,4,5,6}:{(3,1),(19,1),(20,1),(43,1),(46,1),(70,1)}
        10:{2,3,4,5,7}:{(3,1),(20,1),(21,1),(77,1),(92,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(22,1),(23,1),(31,1),(55,1)}
        12:{1,2,3,6}:{(4,1),(23,1)}
        13:{2,3,4,5,7}:{(8,1),(22,1),(25,1),(33,1),(57,1)}
        14:{2,4,5,6,7}:{(5,1),(26,1),(27,1),(99,1)}
        15:{1,3,4,5}:{(6,1),(8,1),(28,1),(29,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1)}
        17:{1,2,3,5,7}:{(7,1),(24,1),(31,1),(55,1),(64,1)}
        18:{2,3,4,6}:{(8,1),(29,1),(32,1),(33,1)}
        19:{2,4,5,6}:{(9,1),(32,1),(34,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(34,1),(35,1),(59,1),(64,1),(83,1)}
        21:{2,3,4,6,7}:{(10,1),(26,1),(35,1),(88,1),(99,1)}
        22:{1,3,4,5,7}:{(11,1),(13,1),(15,1),(36,1),(37,1),(47,1),(71,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(37,1),(38,1)}
        24:{1,2,3,6,7}:{(12,1),(17,1),(39,1),(79,1)}
        25:{2,3,4,6}:{(13,1),(37,1),(40,1)}
        26:{2,3,5,6,7}:{(14,1),(21,1),(42,1)}
        27:{1,4,5,6,7}:{(14,1),(42,1),(44,1),(94,1)}
        28:{2,3,4,5}:{(15,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(18,1),(45,1),(46,1),(47,1)}
        30:{1,2,4,5,6}:{(16,1),(19,1),(38,1),(46,1),(48,1),(70,1),(76,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(47,1)}
        32:{2,3,5,6}:{(18,1),(19,1),(46,1),(50,1)}
        33:{2,3,4,7}:{(18,1),(47,1),(50,1)}
        34:{2,4,5,7}:{(19,1),(20,1),(50,1),(51,1)}
        35:{1,3,4,6,7}:{(20,1),(21,1),(42,1),(51,1),(75,1),(79,1),(94,1)}
        36:{2,3,4,5,7}:{(22,1),(28,1),(52,1),(62,1),(82,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(25,1),(52,1),(53,1)}
        38:{1,2,5,6}:{(23,1),(53,1),(55,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(31,1),(54,1),(55,1)}
        40:{2,3,5,6}:{(25,1),(53,1),(56,1),(57,1)}
        41:{2,3,4,6,7}:{(25,1),(33,1),(54,1),(57,1),(67,1),(85,1)}
        42:{1,3,5,6,7}:{(26,1),(27,1),(35,1),(58,1),(60,1)}
        43:{3,4,5,6}:{(56,1),(59,1)}
        44:{2,4,5,6,7}:{(27,1),(58,1),(60,1),(85,1)}
        45:{2,3,4,6}:{(28,1),(29,1),(61,1),(62,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(64,1)}
        47:{1,3,4,7}:{(29,1),(31,1),(33,1),(62,1),(64,1)}
        48:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(55,1),(64,1),(65,1),(83,1),(87,1)}
        49:{2,3,4,5,6}:{(32,1),(56,1),(63,1),(66,1)}
        50:{2,3,5,7}:{(32,1),(33,1),(34,1),(64,1),(67,1)}
        51:{2,4,6,7}:{(34,1),(35,1),(58,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,3,5,6}:{(37,1),(38,1),(40,1),(68,1),(70,1),(71,1)}
        54:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(47,1),(69,1),(71,1),(79,1),(94,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(71,1)}
        56:{2,4,5,6}:{(40,1),(43,1),(70,1),(73,1)}
        57:{2,3,5,7}:{(40,1),(41,1),(71,1),(73,1)}
        58:{2,5,6,7}:{(42,1),(51,1)}
        59:{3,4,5,7}:{(43,1),(73,1),(75,1)}
        60:{3,5,6,7}:{(44,1),(75,1)}
        61:{2,3,5,6}:{(45,1),(46,1),(76,1),(77,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(77,1)}
        63:{1,3,4,5,6}:{(46,1),(49,1),(70,1),(76,1),(78,1),(91,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        65:{1,2,4,6,7}:{(48,1),(51,1),(72,1),(79,1),(94,1),(96,1)}
        66:{2,3,4,5,7}:{(49,1),(50,1),(73,1),(78,1),(80,1)}
        67:{2,3,6,7}:{(50,1),(51,1),(79,1)}
        68:{2,3,5,6}:{(52,1),(53,1),(81,1),(82,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(62,1),(82,1),(88,1),(99,1)}
        70:{1,4,5,6}:{(53,1),(56,1),(81,1),(83,1)}
        71:{1,3,5,7}:{(53,1),(54,1),(55,1),(57,1),(82,1),(83,1)}
        72:{1,2,5,6,7}:{(55,1),(58,1),(65,1),(84,1),(101,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(59,1),(83,1),(85,1)}
        74:{2,3,5,6,7}:{(57,1),(58,1),(60,1),(67,1),(84,1),(85,1)}
        75:{3,4,6,7}:{(59,1),(60,1),(85,1)}
        76:{2,4,5,6}:{(61,1),(63,1),(87,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(87,1),(88,1)}
        78:{1,3,4,5,7}:{(63,1),(64,1),(66,1),(83,1),(87,1),(89,1),(98,1)}
        79:{1,3,6,7}:{(64,1),(65,1),(67,1),(88,1)}
        80:{2,3,4,6,7}:{(66,1),(67,1),(85,1),(89,1),(90,1)}
        81:{2,4,5,6}:{(68,1),(70,1),(91,1),(92,1)}
        82:{2,3,5,7}:{(68,1),(69,1),(71,1),(92,1)}
        83:{1,4,5,7}:{(70,1),(71,1),(73,1),(92,1),(94,1)}
        84:{1,3,5,6,7}:{(71,1),(72,1),(74,1),(79,1),(93,1),(94,1)}
        85:{2,4,6,7}:{(73,1),(74,1),(75,1),(94,1)}
        86:{3,4,5,6,7}:{(75,1),(95,1)}
        87:{2,4,5,7}:{(76,1),(77,1),(78,1),(96,1)}
        88:{2,3,6,7}:{(77,1),(79,1),(96,1)}
        89:{1,3,4,6,7}:{(78,1),(79,1),(80,1),(94,1),(96,1),(97,1),(102,1)}
        90:{2,3,5,6,7}:{(80,1),(95,1),(97,1)}
        91:{3,4,5,6}:{(81,1),(98,1)}
        92:{2,4,5,7}:{(81,1),(82,1),(83,1),(98,1),(99,1)}
        93:{2,3,5,6,7}:{(82,1),(84,1),(88,1),(99,1),(101,1),(104,1)}
        94:{1,4,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{2,4,5,6,7}:{(85,1),(86,1),(90,1),(100,1)}
        96:{2,4,6,7}:{(87,1),(88,1),(89,1),(101,1)}
        97:{1,3,5,6,7}:{(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{3,4,5,7}:{(91,1),(92,1),(102,1)}
        99:{2,4,6,7}:{(92,1),(93,1),(94,1),(102,1)}
       100:{1,4,5,6,7}:{(94,1),(95,1),(97,1),(103,1)}
       101:{2,5,6,7}:{(96,1),(97,1)}
       102:{3,4,6,7}:{(98,1),(99,1),(104,1)}
       103:{2,4,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{3,5,6,7}:{(102,1),(103,1)}

3127 :   0:{2,3,4,5,6}:{(1,1),(2,1),(37,1),(103,1)}
         1:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(53,1),(99,1)}
         2:{1,3,4,5,6}:{(0,1),(6,1),(7,1),(23,1),(90,1),(101,1)}
         3:{3,4,5,6,7}:{(8,1),(98,1)}
         4:{2,3,4,5,6}:{(9,1),(10,1),(17,1),(97,1)}
         5:{2,3,4,6,7}:{(1,1),(14,1),(15,1),(68,1),(92,1)}
         6:{1,3,4,5,7}:{(1,1),(2,1),(15,1),(16,1),(39,1),(79,1),(95,1)}
         7:{2,4,5,6}:{(2,1),(16,1),(17,1)}
         8:{2,4,5,6,7}:{(3,1),(14,1),(18,1),(92,1)}
         9:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(30,1),(88,1)}
        10:{1,3,4,5,6}:{(4,1),(20,1),(21,1),(23,1),(101,1),(104,1)}
        11:{1,2,4,5,6}:{(7,1),(21,1),(22,1),(23,1),(25,1),(87,1),(101,1)}
        12:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(27,1),(61,1),(87,1)}
        13:{1,2,3,4,6}:{(25,1),(26,1),(27,1),(61,1)}
        14:{2,3,5,6,7}:{(5,1),(8,1),(28,1)}
        15:{1,3,4,6,7}:{(5,1),(6,1),(28,1),(29,1),(56,1),(65,1),(84,1)}
        16:{2,4,5,7}:{(6,1),(7,1),(29,1),(30,1)}
        17:{2,3,5,6}:{(7,1),(23,1),(30,1),(31,1)}
        18:{1,4,5,6,7}:{(8,1),(28,1),(32,1),(84,1)}
        19:{2,3,4,6,7}:{(9,1),(34,1),(35,1),(46,1),(76,1)}
        20:{1,3,4,5,7}:{(9,1),(10,1),(35,1),(36,1),(39,1),(95,1),(102,1)}
        21:{2,4,5,6}:{(10,1),(36,1),(37,1)}
        22:{1,2,4,5,7}:{(11,1),(16,1),(36,1),(38,1),(39,1),(42,1),(74,1),(95,1)}
        23:{1,3,5,6}:{(11,1),(17,1),(37,1),(39,1),(40,1)}
        24:{1,2,3,5,7}:{(12,1),(39,1),(41,1),(42,1),(74,1)}
        25:{1,2,4,6}:{(12,1),(40,1),(42,1),(43,1)}
        26:{1,2,3,4,7}:{(13,1),(42,1),(44,1)}
        27:{1,2,3,5}:{(13,1),(43,1)}
        28:{1,3,5,6,7}:{(14,1),(15,1),(18,1),(45,1),(49,1)}
        29:{2,4,6,7}:{(15,1),(16,1),(45,1),(46,1)}
        30:{2,3,5,7}:{(16,1),(17,1),(39,1),(46,1),(47,1)}
        31:{2,3,4,6}:{(17,1),(40,1),(47,1),(48,1)}
        32:{2,4,5,6,7}:{(18,1),(45,1),(49,1),(76,1)}
        33:{3,4,5,6,7}:{(50,1),(65,1)}
        34:{2,3,5,6,7}:{(19,1),(50,1),(51,1)}
        35:{1,3,4,6,7}:{(19,1),(20,1),(51,1),(52,1),(56,1),(84,1),(98,1)}
        36:{2,4,5,7}:{(20,1),(21,1),(52,1),(53,1)}
        37:{2,3,5,6}:{(21,1),(23,1),(53,1),(54,1)}
        38:{1,2,4,6,7}:{(22,1),(29,1),(52,1),(55,1),(56,1),(84,1)}
        39:{1,3,5,7}:{(22,1),(23,1),(30,1),(53,1),(56,1),(57,1)}
        40:{1,3,4,6}:{(23,1),(25,1),(31,1),(54,1),(57,1),(58,1)}
        41:{1,2,3,6,7}:{(24,1),(56,1),(59,1),(61,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(57,1)}
        43:{1,2,4,5}:{(25,1),(27,1),(58,1)}
        44:{1,2,3,5,7}:{(26,1),(27,1),(60,1),(61,1)}
        45:{2,5,6,7}:{(28,1),(29,1)}
        46:{2,3,6,7}:{(29,1),(30,1),(56,1)}
        47:{2,3,4,7}:{(30,1),(31,1),(57,1)}
        48:{2,3,4,5}:{(31,1),(58,1)}
        49:{3,5,6,7}:{(32,1),(65,1)}
        50:{2,4,5,6,7}:{(33,1),(34,1),(66,1),(76,1)}
        51:{1,3,5,6,7}:{(34,1),(35,1),(66,1),(67,1),(91,1)}
        52:{2,4,6,7}:{(35,1),(36,1),(67,1),(68,1)}
        53:{2,3,5,7}:{(36,1),(37,1),(39,1),(68,1),(69,1)}
        54:{2,3,4,6}:{(37,1),(40,1),(69,1),(70,1)}
        55:{1,2,5,6,7}:{(38,1),(45,1),(67,1),(71,1),(74,1)}
        56:{1,3,6,7}:{(38,1),(39,1),(46,1),(68,1)}
        57:{1,3,4,7}:{(39,1),(40,1),(42,1),(47,1),(69,1)}
        58:{1,3,4,5}:{(40,1),(43,1),(48,1),(70,1)}
        59:{1,2,4,6,7}:{(41,1),(42,1),(72,1),(74,1),(75,1)}
        60:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(73,1),(74,1),(75,1)}
        61:{1,2,3,6}:{(44,1),(75,1)}
        62:{2,3,5,6,7}:{(45,1),(46,1),(49,1),(71,1),(76,1),(77,1)}
        63:{2,3,4,6,7}:{(46,1),(47,1),(72,1),(76,1),(77,1),(78,1)}
        64:{2,3,4,5,7}:{(47,1),(48,1),(73,1),(77,1),(78,1)}
        65:{3,4,6,7}:{(49,1),(76,1),(79,1)}
        66:{1,4,5,6,7}:{(50,1),(51,1),(80,1),(84,1)}
        67:{2,5,6,7}:{(51,1),(52,1)}
        68:{2,3,6,7}:{(52,1),(53,1),(56,1)}
        69:{2,3,4,7}:{(53,1),(54,1),(57,1)}
        70:{2,3,4,5}:{(54,1),(58,1)}
        71:{1,3,5,6,7}:{(55,1),(56,1),(62,1),(81,1),(84,1),(85,1)}
        72:{1,3,4,6,7}:{(56,1),(57,1),(59,1),(63,1),(82,1),(84,1),(85,1),(86,1)}
        73:{1,3,4,5,7}:{(57,1),(58,1),(60,1),(64,1),(83,1),(85,1),(86,1)}
        74:{1,2,5,7}:{(59,1),(85,1),(87,1)}
        75:{1,2,4,6}:{(60,1),(61,1),(86,1),(87,1)}
        76:{2,4,6,7}:{(62,1),(65,1),(84,1),(88,1)}
        77:{2,3,5,7}:{(63,1),(85,1),(88,1),(89,1)}
        78:{2,3,4,6}:{(64,1),(86,1),(89,1)}
        79:{3,4,5,7}:{(65,1),(88,1),(90,1)}
        80:{2,4,5,6,7}:{(66,1),(67,1),(91,1),(92,1)}
        81:{2,3,5,6,7}:{(67,1),(68,1),(71,1),(91,1),(92,1),(93,1)}
        82:{2,3,4,6,7}:{(68,1),(69,1),(72,1),(92,1),(93,1),(94,1)}
        83:{2,3,4,5,7}:{(69,1),(70,1),(73,1),(93,1),(94,1)}
        84:{1,4,6,7}:{(71,1),(76,1),(92,1),(95,1)}
        85:{1,3,5,7}:{(72,1),(74,1),(77,1),(93,1),(95,1),(96,1)}
        86:{1,3,4,6}:{(73,1),(75,1),(78,1),(94,1),(96,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(96,1)}
        88:{2,4,5,7}:{(76,1),(77,1),(79,1),(95,1),(97,1)}
        89:{2,3,5,6}:{(77,1),(78,1),(96,1),(97,1)}
        90:{3,4,5,6}:{(79,1),(97,1)}
        91:{3,5,6,7}:{(80,1),(98,1)}
        92:{2,4,6,7}:{(81,1),(84,1),(98,1),(99,1)}
        93:{2,3,5,7}:{(82,1),(85,1),(99,1),(100,1)}
        94:{2,3,4,6}:{(83,1),(86,1),(100,1)}
        95:{1,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(101,1)}
        96:{1,3,5,6}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1)}
        97:{2,4,5,6}:{(88,1),(89,1),(90,1),(101,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(102,1)}
        99:{2,4,5,7}:{(92,1),(93,1),(95,1),(102,1),(103,1)}
       100:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1)}
       101:{1,4,5,6}:{(95,1),(96,1),(97,1),(103,1)}
       102:{3,4,5,7}:{(98,1),(99,1),(104,1)}
       103:{2,4,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{3,4,5,6}:{(102,1),(103,1)}

3128 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(22,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(29,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(30,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(24,1),(36,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(24,1),(27,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(30,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(34,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(34,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(36,1),(46,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(22,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(36,1)}
       16:{2,3,4,5,6}:{(10,1),(23,1),(39,1)}
       17:{1,3,4,6,7}:{(11,1),(21,1),(24,1),(40,1)}
       18:{1,2,4,5,7}:{(11,1),(22,1),(24,1),(25,1)}
       19:{1,2,3,5,7}:{(12,1),(24,1),(26,1),(27,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(28,1),(29,1),(48,1)}
       21:{2,3,4,6,7}:{(14,1),(17,1),(28,1),(30,1),(44,1)}
       22:{2,4,5,7}:{(14,1),(15,1),(30,1),(31,1)}
       23:{1,3,4,5,6}:{(15,1),(16,1),(31,1),(33,1),(43,1)}
       24:{1,3,5,7}:{(17,1),(18,1),(30,1),(33,1)}
       25:{1,2,4,5,6}:{(18,1),(31,1),(33,1),(34,1)}
       26:{1,2,4,5,7}:{(19,1),(32,1),(34,1)}
       27:{1,2,3,5,6}:{(19,1),(33,1),(34,1)}
       28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(47,1)}
       29:{1,2,4,5,7}:{(20,1),(22,1),(36,1),(37,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(39,1)}
       31:{2,4,5,6}:{(22,1),(23,1),(39,1)}
       32:{1,3,4,5,7}:{(24,1),(26,1),(38,1),(40,1)}
       33:{1,3,5,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,4,6}:{(26,1),(27,1),(40,1)}
       35:{1,2,3,4,6,7}:{(28,1),(41,1),(48,1)}
       36:{1,3,5,7}:{(28,1),(29,1),(30,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(31,1),(43,1),(48,1)}
       38:{2,3,4,5,7}:{(30,1),(32,1),(42,1),(44,1)}
       39:{2,3,5,6}:{(30,1),(31,1),(33,1),(43,1),(44,1)}
       40:{1,3,4,6}:{(32,1),(33,1),(34,1),(44,1)}
       41:{1,2,3,5,7}:{(35,1),(36,1),(45,1),(46,1)}
       42:{1,3,4,5,7}:{(36,1),(38,1),(45,1),(47,1)}
       43:{1,3,5,6}:{(36,1),(37,1),(39,1),(47,1)}
       44:{2,3,4,6}:{(38,1),(39,1),(40,1),(47,1)}
       45:{1,2,4,5,7}:{(41,1),(42,1),(48,1)}
       46:{1,2,3,5,6}:{(41,1),(43,1),(48,1)}
       47:{1,3,4,6}:{(42,1),(43,1),(44,1),(48,1)}
       48:{1,2,4,6}:{(45,1),(46,1),(47,1)}

3129 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(9,1),(17,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,3,4,5,6}:{(5,1),(10,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(14,1)}
       11:{2,3,4,5,6}:{(8,1),(14,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(17,1),(21,1)}
       13:{1,3,4,6,7}:{(9,1),(10,1),(17,1),(18,1)}
       14:{2,3,4,5,7}:{(10,1),(11,1),(18,1),(19,1)}
       15:{1,3,4,5,6}:{(11,1),(19,1),(20,1)}
       16:{1,3,4,5,6,7}:{(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(13,1),(22,1)}
       18:{2,3,4,6,7}:{(13,1),(14,1),(22,1),(23,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(23,1),(24,1)}
       20:{1,2,4,5,6}:{(15,1),(24,1),(25,1)}
       21:{2,4,5,6,7}:{(16,1),(22,1),(26,1)}
       22:{2,3,5,6,7}:{(17,1),(18,1),(21,1),(27,1)}
       23:{1,3,4,6,7}:{(18,1),(19,1),(27,1),(28,1)}
       24:{1,2,4,5,7}:{(19,1),(20,1),(28,1),(29,1)}
       25:{1,2,3,5,6}:{(20,1),(29,1),(30,1)}
       26:{1,4,5,6,7}:{(21,1),(27,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(26,1),(31,1)}
       28:{1,2,4,6,7}:{(23,1),(24,1),(31,1),(32,1)}
       29:{1,2,3,5,7}:{(24,1),(25,1),(32,1),(33,1)}
       30:{1,2,3,4,6}:{(25,1),(33,1),(34,1)}
       31:{1,2,5,6,7}:{(27,1),(28,1)}
       32:{1,2,3,6,7}:{(28,1),(29,1)}
       33:{1,2,3,4,7}:{(29,1),(30,1)}
       34:{1,2,3,4,5}:{(30,1)}

3130 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(22,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(29,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(30,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(24,1),(36,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(24,1),(27,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(30,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(34,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(34,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(36,1),(46,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(22,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(36,1)}
       16:{2,3,4,5,6}:{(10,1),(23,1),(39,1)}
       17:{1,3,4,6,7}:{(11,1),(21,1),(24,1),(40,1)}
       18:{1,2,4,5,7}:{(11,1),(22,1),(24,1),(25,1)}
       19:{1,2,3,5,7}:{(12,1),(24,1),(26,1),(27,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(28,1),(29,1),(48,1)}
       21:{2,3,4,6,7}:{(14,1),(17,1),(28,1),(30,1),(44,1)}
       22:{2,4,5,7}:{(14,1),(15,1),(30,1),(31,1)}
       23:{1,3,4,5,6}:{(15,1),(16,1),(31,1),(33,1),(43,1)}
       24:{1,3,5,7}:{(17,1),(18,1),(30,1),(33,1)}
       25:{1,2,4,5,6}:{(18,1),(31,1),(33,1),(34,1)}
       26:{1,2,4,5,7}:{(19,1),(32,1),(34,1)}
       27:{1,2,3,5,6}:{(19,1),(33,1),(34,1)}
       28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(47,1)}
       29:{1,2,4,5,7}:{(20,1),(22,1),(36,1),(37,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(39,1)}
       31:{2,4,5,6}:{(22,1),(23,1),(39,1)}
       32:{1,3,4,5,7}:{(24,1),(26,1),(38,1),(40,1)}
       33:{1,3,5,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,4,6}:{(26,1),(27,1),(40,1)}
       35:{1,2,3,4,6,7}:{(28,1),(41,1),(48,1)}
       36:{1,3,5,7}:{(28,1),(29,1),(30,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(31,1),(43,1),(48,1)}
       38:{2,3,4,5,7}:{(30,1),(32,1),(42,1),(44,1)}
       39:{2,3,5,6}:{(30,1),(31,1),(33,1),(43,1),(44,1)}
       40:{1,3,4,6}:{(32,1),(33,1),(34,1),(44,1)}
       41:{1,2,3,5,7}:{(35,1),(36,1),(45,1),(46,1)}
       42:{1,3,4,5,7}:{(36,1),(38,1),(45,1),(47,1)}
       43:{1,3,5,6}:{(36,1),(37,1),(39,1),(47,1)}
       44:{2,3,4,6}:{(38,1),(39,1),(40,1),(47,1)}
       45:{1,2,4,5,7}:{(41,1),(42,1),(48,1)}
       46:{1,2,3,5,6}:{(41,1),(43,1),(48,1)}
       47:{1,3,4,6}:{(42,1),(43,1),(44,1),(48,1)}
       48:{1,2,4,6}:{(45,1),(46,1),(47,1)}

3131 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(16,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(16,1),(26,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(18,1),(19,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(17,1),(19,1)}
       16:{1,3,5,6,7}:{(12,1),(13,1),(21,1)}
       17:{2,3,4,6,7}:{(13,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,6}:{(14,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(15,1),(22,1),(25,1)}
       20:{1,3,4,5,6,7}:{(16,1),(26,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       22:{1,3,4,6,7}:{(17,1),(19,1),(27,1),(28,1)}
       23:{1,2,3,4,5}:{(29,1)}
       24:{1,2,3,5,6}:{(18,1),(29,1),(30,1)}
       25:{1,2,4,5,7}:{(18,1),(19,1),(28,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(21,1),(31,1)}
       27:{1,3,5,6,7}:{(21,1),(22,1),(31,1),(32,1)}
       28:{1,2,4,6,7}:{(22,1),(25,1),(32,1),(33,1)}
       29:{1,2,3,4,6}:{(23,1),(24,1),(34,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(33,1),(34,1)}
       31:{1,4,5,6,7}:{(26,1),(27,1)}
       32:{1,2,5,6,7}:{(27,1),(28,1)}
       33:{1,2,3,6,7}:{(28,1),(30,1)}
       34:{1,2,3,4,7}:{(29,1),(30,1)}

3132 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3133 :  0:{2,3,4,5,6,7}:{(1,1),(10,1),(44,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(6,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(52,1)}
        3:{1,2,4,5,6,7}:{(2,1),(6,1),(16,1),(31,1)}
        4:{2,3,5,6,7}:{(2,1),(6,1),(7,1),(47,1)}
        5:{2,3,4,5,6,7}:{(9,1),(12,1),(37,1)}
        6:{1,3,5,6,7}:{(3,1),(4,1),(10,1),(11,1),(41,1)}
        7:{2,3,4,6,7}:{(4,1),(11,1),(12,1)}
        8:{1,2,3,4,6,7}:{(14,1),(29,1),(32,1)}
        9:{1,3,4,5,6,7}:{(5,1),(15,1),(17,1),(28,1)}
       10:{2,3,5,6,7}:{(6,1),(16,1),(34,1)}
       11:{1,3,4,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{2,3,4,5,7}:{(7,1),(17,1),(18,1),(47,1)}
       13:{1,2,3,5,6,7}:{(10,1),(20,1),(22,1),(37,1),(41,1)}
       14:{1,2,3,5,7}:{(8,1),(21,1),(22,1),(41,1)}
       15:{2,4,5,6,7}:{(9,1),(23,1),(26,1)}
       16:{2,4,6,7}:{(10,1),(11,1),(26,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(26,1),(27,1),(41,1)}
       18:{2,3,4,5,6}:{(12,1),(27,1),(53,1)}
       19:{1,2,4,5,6,7}:{(15,1),(28,1),(31,1),(46,1)}
       20:{1,2,4,6,7}:{(13,1),(16,1),(29,1),(31,1),(32,1),(46,1)}
       21:{1,2,4,5,7}:{(14,1),(30,1),(32,1)}
       22:{1,2,3,5,6}:{(14,1),(32,1),(50,1)}
       23:{2,3,5,6,7}:{(15,1),(28,1),(33,1),(34,1)}
       24:{2,3,4,6,7}:{(16,1),(29,1),(34,1),(35,1)}
       25:{2,3,4,5,7}:{(30,1),(34,1),(35,1)}
       26:{2,4,5,7}:{(16,1),(17,1),(34,1),(36,1)}
       27:{1,3,4,5,6}:{(17,1),(18,1),(36,1),(50,1)}
       28:{1,3,5,6,7}:{(19,1),(23,1),(37,1),(40,1),(41,1)}
       29:{1,3,4,6,7}:{(20,1),(24,1),(38,1),(41,1),(42,1)}
       30:{1,3,4,5,7}:{(21,1),(25,1),(39,1),(41,1),(42,1)}
       31:{1,2,4,5,7}:{(20,1),(26,1),(41,1),(43,1),(52,1)}
       32:{1,2,4,6}:{(21,1),(22,1),(42,1)}
       33:{2,3,4,6,7}:{(23,1),(40,1),(44,1)}
       34:{2,3,5,7}:{(24,1),(26,1),(41,1),(45,1)}
       35:{2,3,4,6}:{(25,1),(42,1),(45,1)}
       36:{2,4,5,6}:{(26,1),(27,1),(45,1)}
       37:{2,3,5,6,7}:{(28,1),(46,1),(47,1)}
       38:{2,3,4,6,7}:{(29,1),(46,1),(47,1),(48,1)}
       39:{2,3,4,5,7}:{(30,1),(47,1),(48,1)}
       40:{1,3,4,6,7}:{(28,1),(33,1),(46,1),(49,1)}
       41:{1,3,5,7}:{(29,1),(31,1),(34,1),(47,1),(50,1)}
       42:{1,3,4,6}:{(30,1),(32,1),(35,1),(48,1),(50,1)}
       43:{1,2,4,5,6}:{(31,1),(32,1),(36,1),(50,1),(55,1)}
       44:{2,3,4,5,7}:{(33,1),(34,1),(49,1),(51,1)}
       45:{2,3,5,6}:{(34,1),(35,1),(36,1),(50,1)}
       46:{2,4,6,7}:{(37,1),(40,1),(52,1)}
       47:{2,3,5,7}:{(38,1),(41,1),(52,1),(53,1)}
       48:{2,3,4,6}:{(39,1),(42,1),(53,1)}
       49:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(54,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(43,1),(45,1),(53,1)}
       51:{2,3,4,5,6}:{(44,1),(45,1),(54,1)}
       52:{2,4,5,7}:{(46,1),(47,1),(49,1),(55,1)}
       53:{2,3,5,6}:{(47,1),(48,1),(50,1),(55,1)}
       54:{1,3,4,5,6}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,5,6}:{(52,1),(53,1),(54,1)}

3134 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,5,6,7}:{(5,1),(13,1),(24,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(24,1),(30,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(26,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(26,1),(28,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1)}
       25:{1,3,4,5,6,7}:{(24,1),(30,1)}
       26:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(31,1)}
       27:{1,2,3,6,7}:{(21,1),(31,1)}
       28:{1,3,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       29:{2,3,5,6,7}:{(23,1),(24,1),(30,1),(32,1)}
       30:{2,4,5,6,7}:{(25,1),(29,1),(33,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(33,1),(34,1)}
       33:{1,4,5,6,7}:{(30,1),(32,1)}
       34:{1,2,5,6,7}:{(31,1),(32,1)}

3135 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,7}:{(1,1),(7,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1),(12,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,6,7}:{(7,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,5,6,7}:{(17,1),(27,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1),(31,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1),(35,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}
       35:{3,4,5,6,7}:{(33,1)}

3136 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3137 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,6,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,5,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,3,4,6,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,7}:{(6,1),(12,1),(13,1),(27,1)}
       10:{1,2,3,5,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,3,4,5,7}:{(8,1),(9,1),(16,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
       14:{1,2,4,6,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,6,7}:{(11,1),(18,1),(20,1),(30,1)}
       16:{2,4,5,7}:{(11,1),(12,1),(20,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1),(33,1)}
       19:{1,2,4,5,7}:{(14,1),(16,1),(23,1),(24,1),(31,1)}
       20:{2,3,5,7}:{(15,1),(16,1),(23,1),(26,1)}
       21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,6,7}:{(18,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(18,1),(19,1),(20,1),(27,1),(29,1)}
       24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,7}:{(20,1),(28,1),(30,1)}
       26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,5,7}:{(22,1),(23,1),(31,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
       31:{2,4,5,7}:{(27,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,4,6}:{(31,1),(32,1),(33,1)}

3138 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(17,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(17,1),(28,1)}
       13:{1,2,3,4,5}:{(18,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(20,1),(21,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(16,1),(23,1)}
       18:{1,2,3,4,6}:{(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(24,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       21:{2,3,4,6,7}:{(15,1),(16,1),(23,1),(27,1)}
       22:{1,3,4,5,6,7}:{(17,1),(28,1)}
       23:{2,3,5,6,7}:{(17,1),(21,1),(28,1),(29,1)}
       24:{1,2,3,5,6}:{(18,1),(19,1),(30,1)}
       25:{1,2,3,4,7}:{(18,1),(30,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(30,1),(31,1)}
       27:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(31,1)}
       28:{2,4,5,6,7}:{(22,1),(23,1),(32,1)}
       29:{1,3,5,6,7}:{(23,1),(27,1),(32,1),(33,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(33,1),(34,1)}
       32:{1,4,5,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(31,1)}
       34:{1,2,3,6,7}:{(30,1),(31,1)}

3139 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(19,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(19,1),(20,1)}
       17:{1,2,5,6,7}:{(13,1),(20,1)}
       18:{2,3,5,6,7}:{(14,1),(20,1),(21,1)}
       19:{2,3,4,6,7}:{(15,1),(16,1),(22,1)}
       20:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(22,1),(23,1)}
       21:{2,4,5,6,7}:{(18,1),(23,1),(24,1)}
       22:{2,3,5,6,7}:{(19,1),(20,1),(25,1)}
       23:{1,4,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{3,4,5,6,7}:{(21,1)}
       25:{2,4,5,6,7}:{(22,1),(23,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3140 :  0:{2,3,4,5,6,7}:{(1,1),(12,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(8,1),(30,1)}
        2:{2,3,4,5,6,7}:{(4,1),(14,1),(21,1)}
        3:{2,4,5,6,7}:{(1,1),(6,1),(38,1)}
        4:{1,3,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,4,5,6,7}:{(3,1),(8,1),(18,1),(33,1)}
        6:{2,3,5,6,7}:{(3,1),(8,1),(9,1),(46,1)}
        7:{2,4,5,6,7}:{(4,1),(11,1),(27,1)}
        8:{1,3,5,6,7}:{(5,1),(6,1),(12,1),(13,1),(40,1)}
        9:{2,3,4,6,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,4,5,6,7}:{(7,1),(15,1),(29,1),(33,1)}
       11:{2,3,5,6,7}:{(7,1),(15,1),(16,1),(35,1)}
       12:{2,3,5,6,7}:{(8,1),(18,1),(35,1)}
       13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,4,5,7}:{(9,1),(19,1),(20,1),(46,1)}
       15:{1,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(40,1)}
       16:{2,3,4,6,7}:{(11,1),(22,1),(23,1)}
       17:{1,2,3,5,6,7}:{(12,1),(21,1),(24,1),(40,1),(43,1)}
       18:{2,4,6,7}:{(12,1),(13,1),(27,1)}
       19:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(28,1),(40,1)}
       20:{2,3,4,5,6}:{(14,1),(28,1),(53,1)}
       21:{2,3,5,6,7}:{(15,1),(29,1),(46,1)}
       22:{1,3,4,6,7}:{(15,1),(16,1),(29,1),(30,1)}
       23:{2,3,4,5,7}:{(16,1),(30,1),(31,1),(35,1)}
       24:{1,2,4,6,7}:{(17,1),(18,1),(29,1),(32,1),(33,1),(50,1)}
       25:{1,2,3,4,6,7}:{(32,1),(34,1),(50,1)}
       26:{2,3,4,6,7}:{(18,1),(32,1),(35,1),(51,1)}
       27:{2,4,5,7}:{(18,1),(19,1),(35,1),(36,1)}
       28:{1,3,4,5,6}:{(19,1),(20,1),(36,1),(49,1)}
       29:{2,4,6,7}:{(21,1),(22,1),(38,1)}
       30:{1,3,4,5,7}:{(22,1),(23,1),(38,1),(39,1),(40,1)}
       31:{2,3,4,5,6}:{(23,1),(39,1),(45,1)}
       32:{1,3,4,6,7}:{(24,1),(26,1),(37,1),(40,1),(54,1)}
       33:{1,2,4,5,7}:{(24,1),(27,1),(38,1),(40,1),(41,1)}
       34:{1,2,3,5,7}:{(25,1),(40,1),(42,1),(43,1)}
       35:{2,3,5,7}:{(26,1),(27,1),(40,1),(45,1)}
       36:{2,4,5,6}:{(27,1),(28,1),(45,1)}
       37:{2,3,4,6,7}:{(29,1),(32,1),(46,1),(55,1)}
       38:{2,4,5,7}:{(29,1),(30,1),(46,1),(47,1)}
       39:{1,3,4,5,6}:{(30,1),(31,1),(47,1),(49,1)}
       40:{1,3,5,7}:{(32,1),(33,1),(35,1),(46,1),(49,1)}
       41:{1,2,4,5,6}:{(33,1),(36,1),(47,1),(49,1),(50,1)}
       42:{1,2,4,5,7}:{(34,1),(48,1),(50,1)}
       43:{1,2,3,5,6}:{(34,1),(49,1),(50,1)}
       44:{2,3,4,5,7}:{(35,1),(48,1),(51,1)}
       45:{2,3,5,6}:{(35,1),(36,1),(49,1),(51,1)}
       46:{2,3,5,7}:{(37,1),(38,1),(40,1),(53,1)}
       47:{2,4,5,6}:{(38,1),(39,1),(53,1)}
       48:{1,3,4,5,7}:{(40,1),(42,1),(44,1),(52,1),(54,1)}
       49:{1,3,5,6}:{(40,1),(41,1),(45,1),(53,1),(54,1)}
       50:{1,2,4,6}:{(42,1),(43,1),(54,1)}
       51:{2,3,4,6}:{(44,1),(45,1),(54,1)}
       52:{2,3,4,5,7}:{(46,1),(48,1),(55,1)}
       53:{2,3,5,6}:{(46,1),(47,1),(49,1),(55,1)}
       54:{1,3,4,6}:{(48,1),(49,1),(50,1),(51,1),(55,1)}
       55:{2,3,4,6}:{(52,1),(53,1),(54,1)}

3141 :  0:{2,3,4,5,6,7}:{(1,1),(15,1),(50,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(8,1),(54,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(55,1)}
        3:{1,2,3,4,6,7}:{(6,1),(20,1),(39,1)}
        4:{1,2,4,5,6,7}:{(2,1),(8,1),(25,1),(40,1)}
        5:{2,3,5,6,7}:{(2,1),(8,1),(10,1),(53,1)}
        6:{1,2,3,5,7}:{(3,1),(11,1),(12,1),(49,1)}
        7:{2,3,4,5,6,7}:{(13,1),(18,1),(44,1)}
        8:{1,3,5,6,7}:{(4,1),(5,1),(15,1),(17,1),(49,1)}
        9:{2,3,4,5,6}:{(16,1),(18,1),(45,1)}
       10:{2,3,4,6,7}:{(5,1),(17,1),(18,1)}
       11:{1,2,4,5,7}:{(6,1),(19,1),(20,1)}
       12:{1,2,3,5,6}:{(6,1),(20,1),(38,1)}
       13:{1,3,4,5,6,7}:{(7,1),(22,1),(26,1),(37,1)}
       14:{2,3,4,5,7}:{(19,1),(23,1),(43,1)}
       15:{2,3,5,6,7}:{(8,1),(25,1),(43,1)}
       16:{1,3,4,5,6}:{(9,1),(24,1),(26,1),(38,1)}
       17:{1,3,4,6,7}:{(8,1),(10,1),(25,1),(26,1)}
       18:{2,3,4,5,7}:{(9,1),(10,1),(26,1),(53,1)}
       19:{1,3,4,5,7}:{(11,1),(14,1),(27,1),(29,1),(49,1)}
       20:{1,2,4,6}:{(11,1),(12,1),(29,1)}
       21:{1,2,3,5,6,7}:{(12,1),(15,1),(31,1),(44,1),(49,1)}
       22:{2,4,5,6,7}:{(13,1),(32,1),(35,1)}
       23:{2,3,4,6}:{(14,1),(29,1),(33,1)}
       24:{2,4,5,6}:{(16,1),(33,1),(35,1)}
       25:{2,4,6,7}:{(15,1),(17,1),(35,1)}
       26:{1,3,4,5,7}:{(16,1),(17,1),(18,1),(35,1),(49,1)}
       27:{2,3,4,5,7}:{(19,1),(36,1),(53,1)}
       28:{1,2,4,5,6,7}:{(22,1),(37,1),(40,1),(52,1)}
       29:{1,3,4,6}:{(19,1),(20,1),(23,1),(36,1),(38,1)}
       30:{1,2,4,5,6}:{(20,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(39,1),(40,1),(52,1)}
       32:{2,3,5,6,7}:{(22,1),(37,1),(42,1),(43,1)}
       33:{2,3,5,6}:{(23,1),(24,1),(38,1),(43,1)}
       34:{2,3,4,6,7}:{(23,1),(25,1),(39,1),(43,1)}
       35:{2,4,5,7}:{(24,1),(25,1),(26,1),(43,1)}
       36:{2,3,4,6}:{(27,1),(29,1),(45,1)}
       37:{1,3,5,6,7}:{(28,1),(32,1),(44,1),(48,1),(49,1)}
       38:{1,3,5,6}:{(29,1),(30,1),(33,1),(45,1),(49,1)}
       39:{1,3,4,6,7}:{(29,1),(31,1),(34,1),(46,1),(49,1)}
       40:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(49,1),(55,1)}
       41:{2,3,4,5,6}:{(33,1),(47,1),(50,1)}
       42:{2,3,4,6,7}:{(32,1),(48,1),(50,1)}
       43:{2,3,5,7}:{(33,1),(34,1),(35,1),(49,1)}
       44:{2,3,5,6,7}:{(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(38,1),(51,1),(53,1)}
       46:{2,3,4,6,7}:{(36,1),(39,1),(52,1),(53,1)}
       47:{1,3,4,5,6}:{(38,1),(41,1),(51,1),(54,1)}
       48:{1,3,4,6,7}:{(37,1),(42,1),(52,1),(54,1)}
       49:{1,3,5,7}:{(38,1),(39,1),(40,1),(43,1),(53,1)}
       50:{2,3,4,5,7}:{(41,1),(42,1),(43,1),(54,1)}
       51:{2,4,5,6}:{(45,1),(47,1),(55,1)}
       52:{2,4,6,7}:{(44,1),(48,1),(55,1)}
       53:{2,3,5,7}:{(45,1),(46,1),(49,1),(55,1)}
       54:{1,3,4,5,7}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,4,5,7}:{(51,1),(52,1),(53,1),(54,1)}

3142 :   0:{1,2,3,4,6}:{(1,1),(2,1),(13,1),(15,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(31,1)}
         2:{1,2,3,5}:{(0,1),(5,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(60,1),(89,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(12,1),(13,1)}
         5:{1,2,4,5}:{(2,1),(14,1),(15,1)}
         6:{1,2,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(45,1),(47,1)}
         7:{2,3,4,5}:{(14,1),(18,1)}
         8:{1,3,4,5,6}:{(3,1),(19,1),(20,1),(47,1),(55,1),(81,1)}
         9:{2,3,4,5,7}:{(3,1),(20,1),(21,1),(79,1),(98,1)}
        10:{3,4,5,6,7}:{(22,1),(104,1)}
        11:{2,3,4,5,6}:{(24,1),(25,1),(34,1),(69,1)}
        12:{1,2,4,5,7}:{(4,1),(5,1),(26,1),(27,1),(31,1),(66,1)}
        13:{1,2,3,6}:{(4,1),(27,1)}
        14:{1,3,4,5}:{(5,1),(7,1),(23,1),(29,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(29,1),(31,1)}
        16:{1,2,3,5,7}:{(6,1),(28,1),(31,1),(66,1),(67,1)}
        17:{2,3,4,5,7}:{(7,1),(26,1),(32,1),(35,1),(70,1)}
        18:{2,3,4,6}:{(7,1),(29,1),(34,1),(35,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(36,1)}
        20:{1,3,4,5,7}:{(8,1),(9,1),(36,1),(37,1),(67,1),(73,1),(93,1)}
        21:{2,3,4,6,7}:{(9,1),(33,1),(37,1),(92,1),(103,1)}
        22:{2,4,5,6,7}:{(10,1),(33,1),(38,1),(103,1)}
        23:{2,3,4,5}:{(14,1),(40,1)}
        24:{1,3,4,5,6}:{(11,1),(41,1),(42,1),(47,1),(81,1),(96,1)}
        25:{2,3,4,5,7}:{(11,1),(42,1),(43,1),(53,1),(85,1)}
        26:{1,3,4,5,7}:{(12,1),(14,1),(17,1),(39,1),(44,1),(48,1),(82,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(44,1),(45,1)}
        28:{1,2,3,6,7}:{(13,1),(16,1),(46,1),(84,1)}
        29:{1,3,4,6}:{(14,1),(15,1),(18,1),(40,1),(47,1),(48,1)}
        30:{1,2,4,5,6}:{(15,1),(19,1),(41,1),(45,1),(47,1),(49,1),(81,1)}
        31:{1,2,4,7}:{(15,1),(16,1),(48,1)}
        32:{2,3,4,6}:{(17,1),(44,1),(50,1)}
        33:{2,3,5,6,7}:{(21,1),(22,1),(52,1)}
        34:{2,3,5,6}:{(18,1),(19,1),(47,1),(53,1)}
        35:{2,3,4,7}:{(18,1),(48,1),(53,1)}
        36:{2,4,5,7}:{(19,1),(20,1),(53,1),(54,1)}
        37:{1,3,4,6,7}:{(20,1),(21,1),(52,1),(54,1),(84,1),(87,1),(100,1)}
        38:{1,4,5,6,7}:{(22,1),(52,1),(56,1),(100,1)}
        39:{2,3,4,5,7}:{(23,1),(26,1),(58,1),(61,1),(90,1)}
        40:{2,3,4,6}:{(23,1),(29,1),(60,1),(61,1)}
        41:{2,4,5,6}:{(24,1),(60,1),(62,1)}
        42:{1,3,4,5,7}:{(24,1),(25,1),(62,1),(63,1),(67,1),(93,1),(101,1)}
        43:{2,3,4,6,7}:{(25,1),(59,1),(63,1),(72,1),(95,1)}
        44:{1,3,4,6}:{(26,1),(27,1),(32,1),(58,1),(64,1)}
        45:{1,2,5,6}:{(27,1),(64,1),(66,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(65,1),(66,1)}
        47:{1,3,5,6}:{(29,1),(30,1),(34,1),(60,1),(67,1)}
        48:{1,3,4,7}:{(29,1),(31,1),(35,1),(61,1),(67,1)}
        49:{1,2,4,5,7}:{(30,1),(31,1),(36,1),(62,1),(66,1),(67,1),(68,1),(93,1)}
        50:{2,3,5,6}:{(32,1),(64,1),(69,1),(70,1)}
        51:{2,3,4,6,7}:{(32,1),(35,1),(65,1),(70,1),(72,1),(95,1)}
        52:{1,3,5,6,7}:{(33,1),(37,1),(38,1),(71,1),(74,1)}
        53:{2,3,5,7}:{(34,1),(35,1),(36,1),(67,1),(72,1)}
        54:{2,4,6,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{3,4,5,6}:{(69,1),(73,1)}
        56:{2,4,5,6,7}:{(38,1),(71,1),(74,1),(95,1)}
        57:{3,4,5,6,7}:{(75,1),(87,1)}
        58:{2,3,4,6}:{(39,1),(44,1),(76,1)}
        59:{2,3,5,6,7}:{(43,1),(75,1),(78,1)}
        60:{2,3,5,6}:{(40,1),(41,1),(47,1),(79,1)}
        61:{2,3,4,7}:{(40,1),(48,1),(79,1)}
        62:{2,4,5,7}:{(41,1),(42,1),(79,1),(80,1)}
        63:{1,3,4,6,7}:{(42,1),(43,1),(78,1),(80,1),(84,1),(100,1),(104,1)}
        64:{1,3,5,6}:{(44,1),(45,1),(50,1),(76,1),(81,1),(82,1)}
        65:{1,3,4,6,7}:{(44,1),(46,1),(48,1),(51,1),(77,1),(82,1),(84,1),(100,1)}
        66:{1,2,5,7}:{(45,1),(46,1),(82,1)}
        67:{1,3,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1),(84,1)}
        68:{1,2,4,6,7}:{(49,1),(54,1),(80,1),(83,1),(84,1),(100,1)}
        69:{2,4,5,6}:{(50,1),(55,1),(81,1),(85,1)}
        70:{2,3,5,7}:{(50,1),(51,1),(82,1),(85,1)}
        71:{2,5,6,7}:{(52,1),(54,1)}
        72:{2,3,6,7}:{(53,1),(54,1),(84,1)}
        73:{3,4,5,7}:{(55,1),(85,1),(87,1)}
        74:{3,5,6,7}:{(56,1),(87,1)}
        75:{2,4,5,6,7}:{(57,1),(59,1),(88,1),(95,1)}
        76:{2,3,5,6}:{(58,1),(64,1),(89,1),(90,1)}
        77:{2,3,4,6,7}:{(58,1),(61,1),(65,1),(90,1),(92,1),(103,1)}
        78:{1,3,5,6,7}:{(59,1),(63,1),(88,1),(91,1),(102,1)}
        79:{2,3,5,7}:{(60,1),(61,1),(62,1),(67,1),(92,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(91,1),(92,1)}
        81:{1,4,5,6}:{(64,1),(69,1),(89,1),(93,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(66,1),(70,1),(90,1),(93,1)}
        83:{1,2,5,6,7}:{(66,1),(68,1),(71,1),(91,1),(94,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(72,1),(92,1)}
        85:{2,4,5,7}:{(69,1),(70,1),(73,1),(93,1),(95,1)}
        86:{2,3,5,6,7}:{(70,1),(71,1),(72,1),(74,1),(94,1),(95,1)}
        87:{3,4,6,7}:{(73,1),(74,1),(95,1)}
        88:{1,4,5,6,7}:{(75,1),(78,1),(97,1),(100,1)}
        89:{2,4,5,6}:{(76,1),(81,1),(96,1),(98,1)}
        90:{2,3,5,7}:{(76,1),(77,1),(82,1),(98,1)}
        91:{2,5,6,7}:{(78,1),(80,1)}
        92:{2,3,6,7}:{(79,1),(80,1),(84,1)}
        93:{1,4,5,7}:{(81,1),(82,1),(85,1),(98,1),(100,1)}
        94:{1,3,5,6,7}:{(82,1),(83,1),(84,1),(86,1),(99,1),(100,1)}
        95:{2,4,6,7}:{(85,1),(86,1),(87,1),(100,1)}
        96:{3,4,5,6}:{(89,1),(101,1)}
        97:{2,4,5,6,7}:{(88,1),(91,1),(102,1),(103,1)}
        98:{2,4,5,7}:{(89,1),(90,1),(93,1),(101,1),(103,1)}
        99:{2,3,5,6,7}:{(90,1),(91,1),(92,1),(94,1),(102,1),(103,1)}
       100:{1,4,6,7}:{(93,1),(94,1),(95,1),(103,1)}
       101:{3,4,5,7}:{(96,1),(98,1),(104,1)}
       102:{3,5,6,7}:{(97,1),(104,1)}
       103:{2,4,6,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,6,7}:{(101,1),(102,1),(103,1)}

3143 :   0:{2,3,4,5,6}:{(2,1),(3,1),(44,1),(97,1)}
         1:{1,2,3,4,6}:{(6,1),(7,1),(31,1),(32,1)}
         2:{1,3,4,5,6}:{(0,1),(9,1),(10,1),(28,1),(73,1),(92,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(10,1),(63,1),(103,1)}
         4:{3,4,5,6,7}:{(11,1),(102,1)}
         5:{2,3,4,5,6}:{(12,1),(13,1),(21,1),(84,1)}
         6:{1,2,3,4,7}:{(1,1),(15,1),(52,1)}
         7:{1,2,3,5}:{(1,1),(16,1)}
         8:{2,3,4,6,7}:{(3,1),(18,1),(19,1),(78,1),(98,1)}
         9:{2,4,5,6}:{(2,1),(21,1),(22,1)}
        10:{1,3,4,5,7}:{(2,1),(3,1),(19,1),(22,1),(49,1),(87,1),(100,1)}
        11:{2,4,5,6,7}:{(4,1),(18,1),(23,1),(98,1)}
        12:{1,3,4,5,6}:{(5,1),(25,1),(26,1),(28,1),(92,1),(101,1)}
        13:{2,3,4,5,7}:{(5,1),(24,1),(26,1),(38,1),(95,1)}
        14:{1,2,4,5,6}:{(9,1),(25,1),(28,1),(29,1),(32,1),(68,1),(92,1)}
        15:{1,2,3,5,7}:{(6,1),(7,1),(30,1),(31,1)}
        16:{1,2,4,5}:{(7,1),(27,1),(32,1)}
        17:{1,2,3,5,6}:{(7,1),(28,1),(31,1),(32,1),(33,1),(68,1)}
        18:{2,3,5,6,7}:{(8,1),(11,1),(34,1)}
        19:{1,3,4,6,7}:{(8,1),(10,1),(34,1),(36,1),(66,1),(74,1),(93,1)}
        20:{2,3,4,5}:{(27,1),(37,1)}
        21:{2,3,5,6}:{(9,1),(28,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(9,1),(10,1),(36,1),(38,1)}
        23:{1,4,5,6,7}:{(11,1),(34,1),(39,1),(93,1)}
        24:{2,3,4,6,7}:{(13,1),(41,1),(42,1),(55,1),(85,1)}
        25:{2,4,5,6}:{(12,1),(44,1),(45,1)}
        26:{1,3,4,5,7}:{(12,1),(13,1),(42,1),(45,1),(49,1),(100,1),(104,1)}
        27:{1,3,4,5}:{(16,1),(20,1),(43,1),(48,1)}
        28:{1,3,5,6}:{(14,1),(21,1),(44,1),(48,1),(49,1)}
        29:{1,2,4,5,7}:{(14,1),(22,1),(45,1),(47,1),(49,1),(52,1),(83,1),(100,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(46,1),(50,1),(52,1),(83,1)}
        31:{1,2,3,6}:{(15,1),(50,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(48,1),(52,1)}
        33:{1,2,3,5,7}:{(17,1),(49,1),(51,1),(52,1),(83,1)}
        34:{1,3,5,6,7}:{(18,1),(19,1),(23,1),(53,1),(57,1)}
        35:{2,3,4,5,7}:{(20,1),(46,1),(54,1),(56,1),(86,1)}
        36:{2,4,6,7}:{(19,1),(22,1),(53,1),(55,1)}
        37:{2,3,4,6}:{(20,1),(21,1),(48,1),(56,1)}
        38:{2,3,5,7}:{(21,1),(22,1),(49,1),(55,1),(56,1)}
        39:{2,4,5,6,7}:{(23,1),(53,1),(57,1),(85,1)}
        40:{3,4,5,6,7}:{(58,1),(74,1)}
        41:{2,3,5,6,7}:{(24,1),(58,1),(59,1)}
        42:{1,3,4,6,7}:{(24,1),(26,1),(59,1),(61,1),(66,1),(93,1),(102,1)}
        43:{2,3,4,5}:{(27,1),(62,1)}
        44:{2,3,5,6}:{(25,1),(28,1),(62,1),(63,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(61,1),(63,1)}
        46:{1,3,4,5,7}:{(27,1),(30,1),(35,1),(60,1),(65,1),(67,1),(94,1)}
        47:{1,2,4,6,7}:{(29,1),(36,1),(61,1),(64,1),(66,1),(93,1)}
        48:{1,3,4,6}:{(27,1),(28,1),(32,1),(37,1),(62,1),(67,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(38,1),(63,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(30,1),(31,1),(65,1),(68,1)}
        51:{1,2,3,6,7}:{(31,1),(33,1),(66,1),(69,1)}
        52:{1,2,4,7}:{(32,1),(33,1),(67,1)}
        53:{2,5,6,7}:{(34,1),(36,1)}
        54:{2,3,4,6}:{(35,1),(65,1),(71,1)}
        55:{2,3,6,7}:{(36,1),(38,1),(66,1)}
        56:{2,3,4,7}:{(37,1),(38,1),(67,1)}
        57:{3,5,6,7}:{(39,1),(74,1)}
        58:{2,4,5,6,7}:{(40,1),(41,1),(75,1),(85,1)}
        59:{1,3,5,6,7}:{(41,1),(42,1),(75,1),(76,1),(96,1)}
        60:{2,3,4,5,7}:{(43,1),(46,1),(77,1),(79,1),(99,1)}
        61:{2,4,6,7}:{(42,1),(45,1),(76,1),(78,1)}
        62:{2,3,4,6}:{(43,1),(44,1),(48,1),(79,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(49,1),(78,1),(79,1)}
        64:{1,2,5,6,7}:{(47,1),(53,1),(76,1),(80,1),(83,1)}
        65:{1,3,4,6}:{(46,1),(50,1),(54,1),(77,1),(81,1)}
        66:{1,3,6,7}:{(47,1),(49,1),(55,1),(78,1)}
        67:{1,3,4,7}:{(48,1),(49,1),(52,1),(56,1),(79,1)}
        68:{1,2,5,6}:{(50,1),(81,1),(83,1)}
        69:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(82,1),(83,1)}
        70:{2,3,5,6,7}:{(53,1),(55,1),(57,1),(80,1),(85,1),(86,1)}
        71:{2,3,5,6}:{(54,1),(81,1),(84,1),(86,1)}
        72:{2,3,4,6,7}:{(54,1),(55,1),(56,1),(82,1),(85,1),(86,1)}
        73:{3,4,5,6}:{(84,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(85,1),(87,1)}
        75:{1,4,5,6,7}:{(58,1),(59,1),(88,1),(93,1)}
        76:{2,5,6,7}:{(59,1),(61,1)}
        77:{2,3,4,6}:{(60,1),(65,1),(90,1)}
        78:{2,3,6,7}:{(61,1),(63,1),(66,1)}
        79:{2,3,4,7}:{(62,1),(63,1),(67,1)}
        80:{1,3,5,6,7}:{(64,1),(66,1),(70,1),(89,1),(93,1),(94,1)}
        81:{1,3,5,6}:{(65,1),(68,1),(71,1),(90,1),(92,1),(94,1)}
        82:{1,3,4,6,7}:{(65,1),(66,1),(67,1),(69,1),(72,1),(91,1),(93,1),(94,1)}
        83:{1,2,5,7}:{(68,1),(69,1),(94,1)}
        84:{2,4,5,6}:{(71,1),(73,1),(92,1),(95,1)}
        85:{2,4,6,7}:{(70,1),(74,1),(93,1),(95,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(94,1),(95,1)}
        87:{3,4,5,7}:{(73,1),(74,1),(95,1)}
        88:{2,4,5,6,7}:{(75,1),(76,1),(96,1),(98,1)}
        89:{2,3,5,6,7}:{(76,1),(78,1),(80,1),(96,1),(98,1),(99,1)}
        90:{2,3,5,6}:{(77,1),(81,1),(97,1),(99,1)}
        91:{2,3,4,6,7}:{(77,1),(78,1),(79,1),(82,1),(98,1),(99,1)}
        92:{1,4,5,6}:{(81,1),(84,1),(97,1),(100,1)}
        93:{1,4,6,7}:{(80,1),(85,1),(98,1),(100,1)}
        94:{1,3,5,7}:{(81,1),(82,1),(83,1),(86,1),(99,1),(100,1)}
        95:{2,4,5,7}:{(84,1),(85,1),(86,1),(87,1),(100,1)}
        96:{3,5,6,7}:{(88,1),(102,1)}
        97:{2,4,5,6}:{(90,1),(92,1),(101,1),(103,1)}
        98:{2,4,6,7}:{(89,1),(93,1),(102,1),(103,1)}
        99:{2,3,5,7}:{(90,1),(91,1),(94,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       101:{3,4,5,6}:{(97,1),(104,1)}
       102:{3,4,6,7}:{(96,1),(98,1),(104,1)}
       103:{2,4,5,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,4,5,7}:{(101,1),(102,1),(103,1)}

3144 :  0:{1,2,3,4,5,7}:{(1,1),(4,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(11,1)}
        3:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        4:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        5:{1,2,4,5,6}:{(3,1),(7,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(11,1),(14,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(11,1),(12,1)}
        8:{1,3,4,5,6}:{(5,1),(12,1),(13,1)}
        9:{1,2,4,5,6,7}:{(11,1),(14,1),(15,1)}
       10:{1,3,4,5,6,7}:{(14,1),(15,1)}
       11:{1,2,4,6,7}:{(6,1),(7,1),(16,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(16,1),(17,1)}
       13:{2,3,4,5,6}:{(8,1),(17,1),(18,1)}
       14:{1,3,5,6,7}:{(9,1),(16,1),(19,1)}
       15:{2,4,5,6,7}:{(10,1),(19,1),(20,1)}
       16:{1,3,4,6,7}:{(11,1),(12,1),(14,1),(21,1)}
       17:{2,3,4,5,7}:{(12,1),(13,1),(21,1),(22,1)}
       18:{1,3,4,5,6}:{(13,1),(22,1),(23,1)}
       19:{2,3,5,6,7}:{(14,1),(15,1),(21,1),(24,1)}
       20:{1,4,5,6,7}:{(15,1),(24,1)}
       21:{2,3,4,6,7}:{(16,1),(17,1),(19,1),(25,1)}
       22:{1,3,4,5,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,2,4,5,6}:{(18,1),(26,1),(27,1)}
       24:{1,3,5,6,7}:{(19,1),(20,1),(25,1),(28,1)}
       25:{1,3,4,6,7}:{(21,1),(22,1),(24,1),(29,1)}
       26:{1,2,4,5,7}:{(22,1),(23,1),(29,1),(30,1)}
       27:{1,2,3,5,6}:{(23,1),(30,1),(31,1)}
       28:{1,2,5,6,7}:{(24,1),(29,1)}
       29:{1,2,4,6,7}:{(25,1),(26,1),(28,1),(32,1)}
       30:{1,2,3,5,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,2,3,4,6}:{(27,1),(33,1),(34,1)}
       32:{1,2,3,6,7}:{(29,1),(30,1)}
       33:{1,2,3,4,7}:{(30,1),(31,1)}
       34:{1,2,3,4,5}:{(31,1)}

3145 :  0:{2,3,4,5,6,7}:{(1,1),(20,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1),(33,1)}
        2:{1,2,3,4,6,7}:{(4,1),(15,1),(35,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(42,1)}
        4:{1,2,3,5,7}:{(2,1),(8,1),(9,1),(43,1)}
        5:{1,2,3,4,6,7}:{(10,1),(28,1),(45,1)}
        6:{1,2,4,5,6,7}:{(3,1),(11,1),(32,1),(36,1),(46,1)}
        7:{2,3,5,6,7}:{(3,1),(11,1),(13,1),(47,1)}
        8:{1,2,4,5,7}:{(4,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(34,1)}
       10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(48,1)}
       11:{1,3,5,6,7}:{(6,1),(7,1),(20,1),(22,1),(43,1),(48,1)}
       12:{2,3,4,5,6}:{(21,1),(23,1),(40,1)}
       13:{2,3,4,6,7}:{(7,1),(22,1),(23,1)}
       14:{1,3,4,5,7}:{(8,1),(19,1),(24,1),(43,1)}
       15:{1,2,4,6}:{(8,1),(9,1),(24,1)}
       16:{1,2,3,5,6,7}:{(9,1),(20,1),(26,1),(43,1)}
       17:{1,2,4,5,7}:{(10,1),(27,1),(28,1)}
       18:{1,2,3,5,6}:{(10,1),(28,1),(44,1)}
       19:{2,3,4,5,7}:{(14,1),(27,1),(30,1),(47,1)}
       20:{2,3,5,6,7}:{(11,1),(32,1),(47,1)}
       21:{1,3,4,5,6}:{(12,1),(31,1),(33,1),(34,1),(44,1)}
       22:{1,3,4,6,7}:{(11,1),(13,1),(32,1),(33,1)}
       23:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(47,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(30,1),(34,1)}
       25:{1,2,4,5,6}:{(15,1),(31,1),(34,1),(36,1)}
       26:{1,2,4,6,7}:{(15,1),(16,1),(32,1),(35,1),(36,1)}
       27:{1,3,4,5,7}:{(17,1),(19,1),(37,1),(48,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(37,1)}
       29:{1,2,3,5,6,7}:{(18,1),(20,1),(39,1),(48,1)}
       30:{2,3,4,6}:{(19,1),(24,1),(37,1),(40,1)}
       31:{2,4,5,6}:{(21,1),(40,1),(42,1)}
       32:{2,4,6,7}:{(20,1),(22,1),(42,1)}
       33:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(42,1),(43,1),(48,1)}
       34:{1,3,5,6}:{(24,1),(25,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(24,1),(26,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(25,1),(26,1),(42,1),(43,1)}
       37:{1,3,4,6}:{(27,1),(28,1),(30,1),(44,1)}
       38:{1,2,4,5,6}:{(28,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(45,1),(46,1)}
       40:{2,3,5,6}:{(30,1),(31,1),(34,1),(44,1),(47,1)}
       41:{2,3,4,6,7}:{(30,1),(32,1),(35,1),(45,1),(47,1)}
       42:{2,4,5,7}:{(31,1),(32,1),(33,1),(47,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,5,6}:{(37,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,7}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,7}:{(44,1),(45,1),(46,1),(47,1)}

3146 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(9,1),(17,1)}
        7:{1,3,4,5,6}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(13,1)}
       10:{2,3,4,5,6}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(7,1),(8,1),(13,1),(15,1)}
       12:{1,2,4,5,6,7}:{(9,1),(17,1),(21,1)}
       13:{1,3,4,6,7}:{(9,1),(11,1),(17,1),(18,1)}
       14:{1,3,4,5,6}:{(10,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(10,1),(11,1),(18,1),(20,1)}
       16:{1,3,4,5,6,7}:{(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(13,1),(22,1)}
       18:{2,3,4,6,7}:{(13,1),(15,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(14,1),(25,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(23,1),(26,1)}
       21:{2,4,5,6,7}:{(16,1),(22,1),(27,1)}
       22:{2,3,5,6,7}:{(17,1),(18,1),(21,1),(28,1)}
       23:{1,3,4,6,7}:{(18,1),(20,1),(28,1),(29,1)}
       24:{1,2,3,4,5}:{(30,1)}
       25:{1,2,3,5,6}:{(19,1),(30,1),(31,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(29,1),(31,1)}
       27:{1,4,5,6,7}:{(21,1),(28,1)}
       28:{1,3,5,6,7}:{(22,1),(23,1),(27,1),(32,1)}
       29:{1,2,4,6,7}:{(23,1),(26,1),(32,1),(33,1)}
       30:{1,2,3,4,6}:{(24,1),(25,1),(34,1)}
       31:{1,2,3,5,7}:{(25,1),(26,1),(33,1),(34,1)}
       32:{1,2,5,6,7}:{(28,1),(29,1)}
       33:{1,2,3,6,7}:{(29,1),(31,1)}
       34:{1,2,3,4,7}:{(30,1),(31,1)}

3147 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(22,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(29,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(30,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(24,1),(36,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(24,1),(27,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(30,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(30,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(34,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(34,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(36,1),(46,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(22,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(22,1),(23,1),(24,1),(36,1)}
       16:{2,3,4,5,6}:{(10,1),(23,1),(39,1)}
       17:{1,3,4,6,7}:{(11,1),(21,1),(24,1),(40,1)}
       18:{1,2,4,5,7}:{(11,1),(22,1),(24,1),(25,1)}
       19:{1,2,3,5,7}:{(12,1),(24,1),(26,1),(27,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(28,1),(29,1),(48,1)}
       21:{2,3,4,6,7}:{(14,1),(17,1),(28,1),(30,1),(44,1)}
       22:{2,4,5,7}:{(14,1),(15,1),(30,1),(31,1)}
       23:{1,3,4,5,6}:{(15,1),(16,1),(31,1),(33,1),(43,1)}
       24:{1,3,5,7}:{(17,1),(18,1),(30,1),(33,1)}
       25:{1,2,4,5,6}:{(18,1),(31,1),(33,1),(34,1)}
       26:{1,2,4,5,7}:{(19,1),(32,1),(34,1)}
       27:{1,2,3,5,6}:{(19,1),(33,1),(34,1)}
       28:{1,3,4,6,7}:{(20,1),(21,1),(36,1),(47,1)}
       29:{1,2,4,5,7}:{(20,1),(22,1),(36,1),(37,1)}
       30:{2,3,5,7}:{(21,1),(22,1),(24,1),(36,1),(39,1)}
       31:{2,4,5,6}:{(22,1),(23,1),(39,1)}
       32:{1,3,4,5,7}:{(24,1),(26,1),(38,1),(40,1)}
       33:{1,3,5,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,4,6}:{(26,1),(27,1),(40,1)}
       35:{1,2,3,4,6,7}:{(28,1),(41,1),(48,1)}
       36:{1,3,5,7}:{(28,1),(29,1),(30,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(31,1),(43,1),(48,1)}
       38:{2,3,4,5,7}:{(30,1),(32,1),(42,1),(44,1)}
       39:{2,3,5,6}:{(30,1),(31,1),(33,1),(43,1),(44,1)}
       40:{1,3,4,6}:{(32,1),(33,1),(34,1),(44,1)}
       41:{1,2,3,5,7}:{(35,1),(36,1),(45,1),(46,1)}
       42:{1,3,4,5,7}:{(36,1),(38,1),(45,1),(47,1)}
       43:{1,3,5,6}:{(36,1),(37,1),(39,1),(47,1)}
       44:{2,3,4,6}:{(38,1),(39,1),(40,1),(47,1)}
       45:{1,2,4,5,7}:{(41,1),(42,1),(48,1)}
       46:{1,2,3,5,6}:{(41,1),(43,1),(48,1)}
       47:{1,3,4,6}:{(42,1),(43,1),(44,1),(48,1)}
       48:{1,2,4,6}:{(45,1),(46,1),(47,1)}

3148 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(17,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(17,1),(28,1)}
       13:{1,2,3,4,5}:{(18,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(20,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(20,1),(21,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(17,1),(21,1)}
       17:{1,3,5,6,7}:{(12,1),(16,1),(23,1)}
       18:{1,2,3,4,6}:{(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(24,1),(26,1)}
       20:{1,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       21:{2,3,4,6,7}:{(15,1),(16,1),(23,1),(27,1)}
       22:{1,3,4,5,6,7}:{(17,1),(28,1)}
       23:{2,3,5,6,7}:{(17,1),(21,1),(28,1),(29,1)}
       24:{1,2,3,5,6}:{(18,1),(19,1),(30,1)}
       25:{1,2,3,4,7}:{(18,1),(30,1)}
       26:{1,2,4,5,7}:{(19,1),(20,1),(30,1),(31,1)}
       27:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(31,1)}
       28:{2,4,5,6,7}:{(22,1),(23,1),(32,1)}
       29:{1,3,5,6,7}:{(23,1),(27,1),(32,1),(33,1)}
       30:{1,2,3,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(33,1),(34,1)}
       32:{1,4,5,6,7}:{(28,1),(29,1)}
       33:{1,2,5,6,7}:{(29,1),(31,1)}
       34:{1,2,3,6,7}:{(30,1),(31,1)}

3149 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(23,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(30,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(32,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(25,1),(37,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(25,1),(28,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(32,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(32,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(36,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(36,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(37,1),(40,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(23,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(23,1),(24,1),(25,1),(37,1)}
       16:{2,3,4,5,6}:{(10,1),(24,1),(42,1)}
       17:{1,3,4,6,7}:{(11,1),(22,1),(25,1),(43,1)}
       18:{1,2,4,5,7}:{(11,1),(23,1),(25,1),(26,1)}
       19:{1,2,3,5,7}:{(12,1),(25,1),(27,1),(28,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(29,1),(30,1),(46,1)}
       21:{1,2,3,4,6,7}:{(29,1),(31,1),(46,1)}
       22:{2,3,4,6,7}:{(14,1),(17,1),(29,1),(32,1),(47,1)}
       23:{2,4,5,7}:{(14,1),(15,1),(32,1),(33,1)}
       24:{1,3,4,5,6}:{(15,1),(16,1),(33,1),(35,1),(45,1)}
       25:{1,3,5,7}:{(17,1),(18,1),(32,1),(35,1)}
       26:{1,2,4,5,6}:{(18,1),(33,1),(35,1),(36,1)}
       27:{1,2,4,5,7}:{(19,1),(34,1),(36,1)}
       28:{1,2,3,5,6}:{(19,1),(35,1),(36,1)}
       29:{1,3,4,6,7}:{(20,1),(22,1),(37,1),(48,1)}
       30:{1,2,4,5,7}:{(20,1),(23,1),(37,1),(38,1)}
       31:{1,2,3,5,7}:{(21,1),(37,1),(39,1),(40,1)}
       32:{2,3,5,7}:{(22,1),(23,1),(25,1),(37,1),(42,1)}
       33:{2,4,5,6}:{(23,1),(24,1),(42,1)}
       34:{1,3,4,5,7}:{(25,1),(27,1),(41,1),(43,1)}
       35:{1,3,5,6}:{(25,1),(26,1),(42,1),(43,1)}
       36:{1,2,4,6}:{(27,1),(28,1),(43,1)}
       37:{1,3,5,7}:{(29,1),(30,1),(32,1),(45,1)}
       38:{1,2,4,5,6}:{(30,1),(33,1),(45,1),(46,1)}
       39:{1,2,4,5,7}:{(31,1),(44,1),(46,1)}
       40:{1,2,3,5,6}:{(31,1),(45,1),(46,1)}
       41:{2,3,4,5,7}:{(32,1),(34,1),(44,1),(47,1)}
       42:{2,3,5,6}:{(32,1),(33,1),(35,1),(45,1),(47,1)}
       43:{1,3,4,6}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,4,5,7}:{(37,1),(39,1),(41,1),(48,1)}
       45:{1,3,5,6}:{(37,1),(38,1),(42,1),(48,1)}
       46:{1,2,4,6}:{(39,1),(40,1),(48,1)}
       47:{2,3,4,6}:{(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,4,6}:{(44,1),(45,1),(46,1),(47,1)}

3150 :  0:{2,3,4,5,6,7}:{(1,1),(15,1),(50,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(8,1),(54,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(55,1)}
        3:{1,2,3,4,6,7}:{(6,1),(20,1),(39,1)}
        4:{1,2,4,5,6,7}:{(2,1),(8,1),(25,1),(40,1)}
        5:{2,3,5,6,7}:{(2,1),(8,1),(10,1),(53,1)}
        6:{1,2,3,5,7}:{(3,1),(11,1),(12,1),(49,1)}
        7:{2,3,4,5,6,7}:{(13,1),(18,1),(44,1)}
        8:{1,3,5,6,7}:{(4,1),(5,1),(15,1),(17,1),(49,1)}
        9:{2,3,4,5,6}:{(16,1),(18,1),(45,1)}
       10:{2,3,4,6,7}:{(5,1),(17,1),(18,1)}
       11:{1,2,4,5,7}:{(6,1),(19,1),(20,1)}
       12:{1,2,3,5,6}:{(6,1),(20,1),(38,1)}
       13:{1,3,4,5,6,7}:{(7,1),(22,1),(26,1),(37,1)}
       14:{2,3,4,5,7}:{(19,1),(23,1),(43,1)}
       15:{2,3,5,6,7}:{(8,1),(25,1),(43,1)}
       16:{1,3,4,5,6}:{(9,1),(24,1),(26,1),(38,1)}
       17:{1,3,4,6,7}:{(8,1),(10,1),(25,1),(26,1)}
       18:{2,3,4,5,7}:{(9,1),(10,1),(26,1),(53,1)}
       19:{1,3,4,5,7}:{(11,1),(14,1),(27,1),(29,1),(49,1)}
       20:{1,2,4,6}:{(11,1),(12,1),(29,1)}
       21:{1,2,3,5,6,7}:{(12,1),(15,1),(31,1),(44,1),(49,1)}
       22:{2,4,5,6,7}:{(13,1),(32,1),(35,1)}
       23:{2,3,4,6}:{(14,1),(29,1),(33,1)}
       24:{2,4,5,6}:{(16,1),(33,1),(35,1)}
       25:{2,4,6,7}:{(15,1),(17,1),(35,1)}
       26:{1,3,4,5,7}:{(16,1),(17,1),(18,1),(35,1),(49,1)}
       27:{2,3,4,5,7}:{(19,1),(36,1),(53,1)}
       28:{1,2,4,5,6,7}:{(22,1),(37,1),(40,1),(52,1)}
       29:{1,3,4,6}:{(19,1),(20,1),(23,1),(36,1),(38,1)}
       30:{1,2,4,5,6}:{(20,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(39,1),(40,1),(52,1)}
       32:{2,3,5,6,7}:{(22,1),(37,1),(42,1),(43,1)}
       33:{2,3,5,6}:{(23,1),(24,1),(38,1),(43,1)}
       34:{2,3,4,6,7}:{(23,1),(25,1),(39,1),(43,1)}
       35:{2,4,5,7}:{(24,1),(25,1),(26,1),(43,1)}
       36:{2,3,4,6}:{(27,1),(29,1),(45,1)}
       37:{1,3,5,6,7}:{(28,1),(32,1),(44,1),(48,1),(49,1)}
       38:{1,3,5,6}:{(29,1),(30,1),(33,1),(45,1),(49,1)}
       39:{1,3,4,6,7}:{(29,1),(31,1),(34,1),(46,1),(49,1)}
       40:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(49,1),(55,1)}
       41:{2,3,4,5,6}:{(33,1),(47,1),(50,1)}
       42:{2,3,4,6,7}:{(32,1),(48,1),(50,1)}
       43:{2,3,5,7}:{(33,1),(34,1),(35,1),(49,1)}
       44:{2,3,5,6,7}:{(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(38,1),(51,1),(53,1)}
       46:{2,3,4,6,7}:{(36,1),(39,1),(52,1),(53,1)}
       47:{1,3,4,5,6}:{(38,1),(41,1),(51,1),(54,1)}
       48:{1,3,4,6,7}:{(37,1),(42,1),(52,1),(54,1)}
       49:{1,3,5,7}:{(38,1),(39,1),(40,1),(43,1),(53,1)}
       50:{2,3,4,5,7}:{(41,1),(42,1),(43,1),(54,1)}
       51:{2,4,5,6}:{(45,1),(47,1),(55,1)}
       52:{2,4,6,7}:{(44,1),(48,1),(55,1)}
       53:{2,3,5,7}:{(45,1),(46,1),(49,1),(55,1)}
       54:{1,3,4,5,7}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,4,5,7}:{(51,1),(52,1),(53,1),(54,1)}

3151 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,6,7}:{(1,1),(7,1),(17,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,5,6,7}:{(7,1),(17,1),(27,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,4,5,6,7}:{(17,1),(27,1),(33,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,3,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}

3152 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(45,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(7,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(52,1)}
        3:{1,2,3,4,6,7}:{(6,1),(18,1),(35,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(22,1),(36,1)}
        5:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(48,1)}
        6:{1,2,3,5,7}:{(3,1),(10,1),(11,1),(43,1)}
        7:{1,3,5,6,7}:{(4,1),(5,1),(13,1),(15,1),(43,1)}
        8:{2,3,4,5,6}:{(14,1),(16,1),(40,1)}
        9:{2,3,4,6,7}:{(5,1),(15,1),(16,1)}
       10:{1,2,4,5,7}:{(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6}:{(6,1),(18,1),(34,1)}
       12:{2,3,4,5,7}:{(17,1),(20,1),(38,1)}
       13:{2,3,5,6,7}:{(7,1),(22,1),(38,1)}
       14:{1,3,4,5,6}:{(8,1),(21,1),(23,1),(34,1)}
       15:{1,3,4,6,7}:{(7,1),(9,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(8,1),(9,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6}:{(10,1),(11,1),(26,1)}
       19:{1,2,3,5,6,7}:{(11,1),(13,1),(28,1),(43,1),(53,1)}
       20:{2,3,4,6}:{(12,1),(26,1),(29,1)}
       21:{2,4,5,6}:{(14,1),(29,1),(31,1)}
       22:{2,4,6,7}:{(13,1),(15,1),(31,1)}
       23:{1,3,4,5,7}:{(14,1),(15,1),(16,1),(31,1),(43,1)}
       24:{2,3,4,5,6,7}:{(16,1),(32,1),(53,1)}
       25:{2,3,4,5,7}:{(17,1),(33,1),(48,1)}
       26:{1,3,4,6}:{(17,1),(18,1),(20,1),(33,1),(34,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(34,1),(36,1),(47,1)}
       28:{1,2,4,6,7}:{(18,1),(19,1),(22,1),(35,1),(36,1),(55,1)}
       29:{2,3,5,6}:{(20,1),(21,1),(34,1),(38,1)}
       30:{2,3,4,6,7}:{(20,1),(22,1),(35,1),(38,1)}
       31:{2,4,5,7}:{(21,1),(22,1),(23,1),(38,1)}
       32:{1,3,4,5,6,7}:{(23,1),(24,1),(39,1),(50,1)}
       33:{2,3,4,6}:{(25,1),(26,1),(40,1)}
       34:{1,3,5,6}:{(26,1),(27,1),(29,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(26,1),(28,1),(30,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(27,1),(28,1),(31,1),(43,1),(52,1)}
       37:{2,3,4,5,6}:{(29,1),(42,1),(45,1)}
       38:{2,3,5,7}:{(29,1),(30,1),(31,1),(43,1)}
       39:{2,4,5,6,7}:{(31,1),(32,1),(46,1)}
       40:{2,3,5,6}:{(33,1),(34,1),(47,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(48,1),(55,1)}
       42:{1,3,4,5,6}:{(34,1),(37,1),(47,1),(49,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(38,1),(48,1)}
       44:{1,2,4,5,6,7}:{(36,1),(39,1),(50,1),(55,1)}
       45:{2,3,4,5,7}:{(37,1),(38,1),(49,1),(51,1)}
       46:{2,3,5,6,7}:{(38,1),(39,1),(50,1),(51,1)}
       47:{2,4,5,6}:{(40,1),(42,1),(52,1)}
       48:{2,3,5,7}:{(40,1),(41,1),(43,1),(52,1)}
       49:{1,3,4,5,7}:{(42,1),(43,1),(45,1),(52,1),(54,1)}
       50:{1,3,5,6,7}:{(43,1),(44,1),(46,1),(53,1),(54,1)}
       51:{2,3,4,6,7}:{(45,1),(46,1),(54,1)}
       52:{2,4,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       53:{2,3,5,6,7}:{(48,1),(50,1),(55,1)}
       54:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,6,7}:{(52,1),(53,1),(54,1)}

3153 :  0:{2,3,4,5,6,7}:{(1,1),(10,1),(44,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(6,1),(49,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(52,1)}
        3:{1,2,4,5,6,7}:{(2,1),(6,1),(16,1),(31,1)}
        4:{2,3,5,6,7}:{(2,1),(6,1),(7,1),(47,1)}
        5:{2,3,4,5,6,7}:{(9,1),(12,1),(37,1)}
        6:{1,3,5,6,7}:{(3,1),(4,1),(10,1),(11,1),(41,1)}
        7:{2,3,4,6,7}:{(4,1),(11,1),(12,1)}
        8:{1,2,3,4,6,7}:{(14,1),(29,1),(32,1)}
        9:{1,3,4,5,6,7}:{(5,1),(15,1),(17,1),(28,1)}
       10:{2,3,5,6,7}:{(6,1),(16,1),(34,1)}
       11:{1,3,4,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{2,3,4,5,7}:{(7,1),(17,1),(18,1),(47,1)}
       13:{1,2,3,5,6,7}:{(10,1),(20,1),(22,1),(37,1),(41,1)}
       14:{1,2,3,5,7}:{(8,1),(21,1),(22,1),(41,1)}
       15:{2,4,5,6,7}:{(9,1),(23,1),(26,1)}
       16:{2,4,6,7}:{(10,1),(11,1),(26,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(26,1),(27,1),(41,1)}
       18:{2,3,4,5,6}:{(12,1),(27,1),(53,1)}
       19:{1,2,4,5,6,7}:{(15,1),(28,1),(31,1),(46,1)}
       20:{1,2,4,6,7}:{(13,1),(16,1),(29,1),(31,1),(32,1),(46,1)}
       21:{1,2,4,5,7}:{(14,1),(30,1),(32,1)}
       22:{1,2,3,5,6}:{(14,1),(32,1),(50,1)}
       23:{2,3,5,6,7}:{(15,1),(28,1),(33,1),(34,1)}
       24:{2,3,4,6,7}:{(16,1),(29,1),(34,1),(35,1)}
       25:{2,3,4,5,7}:{(30,1),(34,1),(35,1)}
       26:{2,4,5,7}:{(16,1),(17,1),(34,1),(36,1)}
       27:{1,3,4,5,6}:{(17,1),(18,1),(36,1),(50,1)}
       28:{1,3,5,6,7}:{(19,1),(23,1),(37,1),(40,1),(41,1)}
       29:{1,3,4,6,7}:{(20,1),(24,1),(38,1),(41,1),(42,1)}
       30:{1,3,4,5,7}:{(21,1),(25,1),(39,1),(41,1),(42,1)}
       31:{1,2,4,5,7}:{(20,1),(26,1),(41,1),(43,1),(52,1)}
       32:{1,2,4,6}:{(21,1),(22,1),(42,1)}
       33:{2,3,4,6,7}:{(23,1),(40,1),(44,1)}
       34:{2,3,5,7}:{(24,1),(26,1),(41,1),(45,1)}
       35:{2,3,4,6}:{(25,1),(42,1),(45,1)}
       36:{2,4,5,6}:{(26,1),(27,1),(45,1)}
       37:{2,3,5,6,7}:{(28,1),(46,1),(47,1)}
       38:{2,3,4,6,7}:{(29,1),(46,1),(47,1),(48,1)}
       39:{2,3,4,5,7}:{(30,1),(47,1),(48,1)}
       40:{1,3,4,6,7}:{(28,1),(33,1),(46,1),(49,1)}
       41:{1,3,5,7}:{(29,1),(31,1),(34,1),(47,1),(50,1)}
       42:{1,3,4,6}:{(30,1),(32,1),(35,1),(48,1),(50,1)}
       43:{1,2,4,5,6}:{(31,1),(32,1),(36,1),(50,1),(55,1)}
       44:{2,3,4,5,7}:{(33,1),(34,1),(49,1),(51,1)}
       45:{2,3,5,6}:{(34,1),(35,1),(36,1),(50,1)}
       46:{2,4,6,7}:{(37,1),(40,1),(52,1)}
       47:{2,3,5,7}:{(38,1),(41,1),(52,1),(53,1)}
       48:{2,3,4,6}:{(39,1),(42,1),(53,1)}
       49:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(54,1)}
       50:{1,3,5,6}:{(41,1),(42,1),(43,1),(45,1),(53,1)}
       51:{2,3,4,5,6}:{(44,1),(45,1),(54,1)}
       52:{2,4,5,7}:{(46,1),(47,1),(49,1),(55,1)}
       53:{2,3,5,6}:{(47,1),(48,1),(50,1),(55,1)}
       54:{1,3,4,5,6}:{(49,1),(50,1),(51,1),(55,1)}
       55:{2,4,5,6}:{(52,1),(53,1),(54,1)}

3154 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,5,6,7}:{(5,1),(13,1),(24,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(24,1),(30,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(26,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(26,1),(28,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1)}
       25:{1,3,4,5,6,7}:{(24,1),(30,1)}
       26:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(31,1)}
       27:{1,2,3,6,7}:{(21,1),(31,1)}
       28:{1,3,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       29:{2,3,5,6,7}:{(23,1),(24,1),(30,1),(32,1)}
       30:{2,4,5,6,7}:{(25,1),(29,1),(33,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(33,1),(34,1)}
       33:{1,4,5,6,7}:{(30,1),(32,1)}
       34:{1,2,5,6,7}:{(31,1),(32,1)}

3155 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(19,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(19,1),(20,1)}
       17:{1,2,5,6,7}:{(13,1),(20,1)}
       18:{2,3,5,6,7}:{(14,1),(20,1),(21,1)}
       19:{2,3,4,6,7}:{(15,1),(16,1),(22,1)}
       20:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(22,1),(23,1)}
       21:{2,4,5,6,7}:{(18,1),(23,1),(24,1)}
       22:{2,3,5,6,7}:{(19,1),(20,1),(25,1)}
       23:{1,4,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{3,4,5,6,7}:{(21,1)}
       25:{2,4,5,6,7}:{(22,1),(23,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3156 :  0:{2,3,4,5,6,7}:{(1,1),(12,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(8,1),(30,1)}
        2:{2,3,4,5,6,7}:{(4,1),(14,1),(21,1)}
        3:{2,4,5,6,7}:{(1,1),(6,1),(38,1)}
        4:{1,3,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,4,5,6,7}:{(3,1),(8,1),(18,1),(33,1)}
        6:{2,3,5,6,7}:{(3,1),(8,1),(9,1),(46,1)}
        7:{2,4,5,6,7}:{(4,1),(11,1),(27,1)}
        8:{1,3,5,6,7}:{(5,1),(6,1),(12,1),(13,1),(40,1)}
        9:{2,3,4,6,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,4,5,6,7}:{(7,1),(15,1),(29,1),(33,1)}
       11:{2,3,5,6,7}:{(7,1),(15,1),(16,1),(35,1)}
       12:{2,3,5,6,7}:{(8,1),(18,1),(35,1)}
       13:{1,3,4,6,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,4,5,7}:{(9,1),(19,1),(20,1),(46,1)}
       15:{1,3,5,6,7}:{(10,1),(11,1),(21,1),(22,1),(40,1)}
       16:{2,3,4,6,7}:{(11,1),(22,1),(23,1)}
       17:{1,2,3,5,6,7}:{(12,1),(21,1),(24,1),(40,1),(43,1)}
       18:{2,4,6,7}:{(12,1),(13,1),(27,1)}
       19:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(28,1),(40,1)}
       20:{2,3,4,5,6}:{(14,1),(28,1),(53,1)}
       21:{2,3,5,6,7}:{(15,1),(29,1),(46,1)}
       22:{1,3,4,6,7}:{(15,1),(16,1),(29,1),(30,1)}
       23:{2,3,4,5,7}:{(16,1),(30,1),(31,1),(35,1)}
       24:{1,2,4,6,7}:{(17,1),(18,1),(29,1),(32,1),(33,1),(50,1)}
       25:{1,2,3,4,6,7}:{(32,1),(34,1),(50,1)}
       26:{2,3,4,6,7}:{(18,1),(32,1),(35,1),(51,1)}
       27:{2,4,5,7}:{(18,1),(19,1),(35,1),(36,1)}
       28:{1,3,4,5,6}:{(19,1),(20,1),(36,1),(49,1)}
       29:{2,4,6,7}:{(21,1),(22,1),(38,1)}
       30:{1,3,4,5,7}:{(22,1),(23,1),(38,1),(39,1),(40,1)}
       31:{2,3,4,5,6}:{(23,1),(39,1),(45,1)}
       32:{1,3,4,6,7}:{(24,1),(26,1),(37,1),(40,1),(54,1)}
       33:{1,2,4,5,7}:{(24,1),(27,1),(38,1),(40,1),(41,1)}
       34:{1,2,3,5,7}:{(25,1),(40,1),(42,1),(43,1)}
       35:{2,3,5,7}:{(26,1),(27,1),(40,1),(45,1)}
       36:{2,4,5,6}:{(27,1),(28,1),(45,1)}
       37:{2,3,4,6,7}:{(29,1),(32,1),(46,1),(55,1)}
       38:{2,4,5,7}:{(29,1),(30,1),(46,1),(47,1)}
       39:{1,3,4,5,6}:{(30,1),(31,1),(47,1),(49,1)}
       40:{1,3,5,7}:{(32,1),(33,1),(35,1),(46,1),(49,1)}
       41:{1,2,4,5,6}:{(33,1),(36,1),(47,1),(49,1),(50,1)}
       42:{1,2,4,5,7}:{(34,1),(48,1),(50,1)}
       43:{1,2,3,5,6}:{(34,1),(49,1),(50,1)}
       44:{2,3,4,5,7}:{(35,1),(48,1),(51,1)}
       45:{2,3,5,6}:{(35,1),(36,1),(49,1),(51,1)}
       46:{2,3,5,7}:{(37,1),(38,1),(40,1),(53,1)}
       47:{2,4,5,6}:{(38,1),(39,1),(53,1)}
       48:{1,3,4,5,7}:{(40,1),(42,1),(44,1),(52,1),(54,1)}
       49:{1,3,5,6}:{(40,1),(41,1),(45,1),(53,1),(54,1)}
       50:{1,2,4,6}:{(42,1),(43,1),(54,1)}
       51:{2,3,4,6}:{(44,1),(45,1),(54,1)}
       52:{2,3,4,5,7}:{(46,1),(48,1),(55,1)}
       53:{2,3,5,6}:{(46,1),(47,1),(49,1),(55,1)}
       54:{1,3,4,6}:{(48,1),(49,1),(50,1),(51,1),(55,1)}
       55:{2,3,4,6}:{(52,1),(53,1),(54,1)}

3157 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(7,1),(9,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,5,6,7}:{(7,1),(9,1),(10,1)}
        5:{1,2,4,5,6,7}:{(9,1),(10,1),(11,1)}
        6:{1,3,4,5,6,7}:{(10,1),(11,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(12,1)}
        8:{1,2,4,5,6}:{(3,1),(12,1),(13,1)}
        9:{1,2,4,6,7}:{(4,1),(12,1),(14,1)}
       10:{1,3,5,6,7}:{(5,1),(14,1),(15,1)}
       11:{2,4,5,6,7}:{(6,1),(15,1),(16,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(17,1)}
       13:{1,3,4,5,6}:{(8,1),(17,1),(18,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(17,1),(19,1)}
       15:{2,3,5,6,7}:{(10,1),(11,1),(19,1),(20,1)}
       16:{1,4,5,6,7}:{(11,1),(20,1)}
       17:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(21,1)}
       18:{2,3,4,5,6}:{(13,1),(21,1),(22,1)}
       19:{2,3,4,6,7}:{(14,1),(15,1),(21,1),(23,1)}
       20:{1,3,5,6,7}:{(15,1),(16,1),(23,1),(24,1)}
       21:{2,3,4,5,7}:{(17,1),(18,1),(19,1),(25,1)}
       22:{1,3,4,5,6}:{(18,1),(25,1),(26,1)}
       23:{1,3,4,6,7}:{(19,1),(20,1),(25,1),(27,1)}
       24:{1,2,5,6,7}:{(20,1),(27,1)}
       25:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(28,1)}
       26:{1,2,4,5,6}:{(22,1),(28,1),(29,1)}
       27:{1,2,4,6,7}:{(23,1),(24,1),(28,1),(30,1)}
       28:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(31,1)}
       29:{1,2,3,5,6}:{(26,1),(31,1),(32,1)}
       30:{1,2,3,6,7}:{(27,1),(31,1)}
       31:{1,2,3,5,7}:{(28,1),(29,1),(30,1),(33,1)}
       32:{1,2,3,4,6}:{(29,1),(33,1),(34,1)}
       33:{1,2,3,4,7}:{(31,1),(32,1)}
       34:{1,2,3,4,5}:{(32,1)}

3158 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(5,1),(11,1),(14,1)}
        7:{1,3,4,5,6}:{(4,1),(12,1),(13,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(11,1),(13,1)}
        9:{1,2,4,5,6,7}:{(11,1),(14,1),(15,1)}
       10:{1,3,4,5,6,7}:{(14,1),(15,1)}
       11:{1,2,4,6,7}:{(6,1),(8,1),(16,1)}
       12:{2,3,4,5,6}:{(7,1),(17,1),(18,1)}
       13:{1,3,4,5,7}:{(7,1),(8,1),(16,1),(18,1)}
       14:{1,3,5,6,7}:{(9,1),(16,1),(19,1)}
       15:{2,4,5,6,7}:{(10,1),(19,1),(20,1)}
       16:{1,3,4,6,7}:{(11,1),(13,1),(14,1),(21,1)}
       17:{1,3,4,5,6}:{(12,1),(22,1),(23,1)}
       18:{2,3,4,5,7}:{(12,1),(13,1),(21,1),(23,1)}
       19:{2,3,5,6,7}:{(14,1),(15,1),(21,1),(24,1)}
       20:{1,4,5,6,7}:{(15,1),(24,1)}
       21:{2,3,4,6,7}:{(16,1),(18,1),(19,1),(25,1)}
       22:{1,2,4,5,6}:{(17,1),(27,1),(28,1)}
       23:{1,3,4,5,7}:{(17,1),(18,1),(25,1),(28,1)}
       24:{1,3,5,6,7}:{(19,1),(20,1),(25,1),(29,1)}
       25:{1,3,4,6,7}:{(21,1),(23,1),(24,1),(30,1)}
       26:{1,2,3,4,5}:{(31,1)}
       27:{1,2,3,5,6}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(22,1),(23,1),(30,1),(32,1)}
       29:{1,2,5,6,7}:{(24,1),(30,1)}
       30:{1,2,4,6,7}:{(25,1),(28,1),(29,1),(33,1)}
       31:{1,2,3,4,6}:{(26,1),(27,1),(34,1)}
       32:{1,2,3,5,7}:{(27,1),(28,1),(33,1),(34,1)}
       33:{1,2,3,6,7}:{(30,1),(32,1)}
       34:{1,2,3,4,7}:{(31,1),(32,1)}

3159 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(9,1),(10,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,3,5,6,7}:{(5,1),(11,1),(18,1)}
        9:{2,3,4,5,6}:{(6,1),(14,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6,7}:{(11,1),(18,1),(23,1)}
       13:{1,2,3,4,5}:{(19,1)}
       14:{1,3,4,5,6}:{(9,1),(20,1),(21,1)}
       15:{2,3,4,5,7}:{(9,1),(10,1),(21,1),(22,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(18,1),(22,1)}
       17:{1,3,4,5,6,7}:{(18,1),(23,1)}
       18:{1,3,5,6,7}:{(12,1),(16,1),(24,1)}
       19:{1,2,3,4,6}:{(13,1),(25,1),(26,1)}
       20:{1,2,4,5,6}:{(14,1),(25,1),(27,1)}
       21:{1,3,4,5,7}:{(14,1),(15,1),(27,1),(28,1)}
       22:{2,3,4,6,7}:{(15,1),(16,1),(24,1),(28,1)}
       23:{2,4,5,6,7}:{(17,1),(24,1),(29,1)}
       24:{2,3,5,6,7}:{(18,1),(22,1),(23,1),(30,1)}
       25:{1,2,3,5,6}:{(19,1),(20,1),(31,1)}
       26:{1,2,3,4,7}:{(19,1),(31,1)}
       27:{1,2,4,5,7}:{(20,1),(21,1),(31,1),(32,1)}
       28:{1,3,4,6,7}:{(21,1),(22,1),(30,1),(32,1)}
       29:{1,4,5,6,7}:{(23,1),(30,1)}
       30:{1,3,5,6,7}:{(24,1),(28,1),(29,1),(33,1)}
       31:{1,2,3,5,7}:{(25,1),(26,1),(27,1),(34,1)}
       32:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(34,1)}
       33:{1,2,5,6,7}:{(30,1),(32,1)}
       34:{1,2,3,6,7}:{(31,1),(32,1)}

3160 :  0:{2,3,4,5,6,7}:{(1,1),(20,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1),(33,1)}
        2:{1,2,3,4,6,7}:{(4,1),(15,1),(35,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(42,1)}
        4:{1,2,3,5,7}:{(2,1),(8,1),(9,1),(43,1)}
        5:{1,2,3,4,6,7}:{(10,1),(28,1),(45,1)}
        6:{1,2,4,5,6,7}:{(3,1),(11,1),(32,1),(36,1),(46,1)}
        7:{2,3,5,6,7}:{(3,1),(11,1),(13,1),(47,1)}
        8:{1,2,4,5,7}:{(4,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(34,1)}
       10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(48,1)}
       11:{1,3,5,6,7}:{(6,1),(7,1),(20,1),(22,1),(43,1),(48,1)}
       12:{2,3,4,5,6}:{(21,1),(23,1),(40,1)}
       13:{2,3,4,6,7}:{(7,1),(22,1),(23,1)}
       14:{1,3,4,5,7}:{(8,1),(19,1),(24,1),(43,1)}
       15:{1,2,4,6}:{(8,1),(9,1),(24,1)}
       16:{1,2,3,5,6,7}:{(9,1),(20,1),(26,1),(43,1)}
       17:{1,2,4,5,7}:{(10,1),(27,1),(28,1)}
       18:{1,2,3,5,6}:{(10,1),(28,1),(44,1)}
       19:{2,3,4,5,7}:{(14,1),(27,1),(30,1),(47,1)}
       20:{2,3,5,6,7}:{(11,1),(32,1),(47,1)}
       21:{1,3,4,5,6}:{(12,1),(31,1),(33,1),(34,1),(44,1)}
       22:{1,3,4,6,7}:{(11,1),(13,1),(32,1),(33,1)}
       23:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(47,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(30,1),(34,1)}
       25:{1,2,4,5,6}:{(15,1),(31,1),(34,1),(36,1)}
       26:{1,2,4,6,7}:{(15,1),(16,1),(32,1),(35,1),(36,1)}
       27:{1,3,4,5,7}:{(17,1),(19,1),(37,1),(48,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(37,1)}
       29:{1,2,3,5,6,7}:{(18,1),(20,1),(39,1),(48,1)}
       30:{2,3,4,6}:{(19,1),(24,1),(37,1),(40,1)}
       31:{2,4,5,6}:{(21,1),(40,1),(42,1)}
       32:{2,4,6,7}:{(20,1),(22,1),(42,1)}
       33:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(42,1),(43,1),(48,1)}
       34:{1,3,5,6}:{(24,1),(25,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(24,1),(26,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(25,1),(26,1),(42,1),(43,1)}
       37:{1,3,4,6}:{(27,1),(28,1),(30,1),(44,1)}
       38:{1,2,4,5,6}:{(28,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(45,1),(46,1)}
       40:{2,3,5,6}:{(30,1),(31,1),(34,1),(44,1),(47,1)}
       41:{2,3,4,6,7}:{(30,1),(32,1),(35,1),(45,1),(47,1)}
       42:{2,4,5,7}:{(31,1),(32,1),(33,1),(47,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,5,6}:{(37,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,7}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,7}:{(44,1),(45,1),(46,1),(47,1)}

3161 :  0:{2,3,4,5,6,7}:{(1,1),(11,1),(13,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(6,1),(20,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(6,1),(19,1),(24,1),(38,1)}
        4:{2,3,5,6,7}:{(2,1),(6,1),(7,1),(40,1)}
        5:{1,2,3,4,6,7}:{(9,1),(22,1),(25,1)}
        6:{1,3,5,6,7}:{(3,1),(4,1),(11,1),(12,1),(33,1),(44,1)}
        7:{2,3,4,6,7}:{(4,1),(12,1),(13,1)}
        8:{1,2,3,5,6,7}:{(11,1),(14,1),(16,1),(33,1)}
        9:{1,2,3,5,7}:{(5,1),(15,1),(16,1),(33,1)}
       10:{1,2,3,4,6,7}:{(18,1),(36,1),(39,1)}
       11:{2,3,5,6,7}:{(6,1),(19,1),(40,1)}
       12:{1,3,4,6,7}:{(6,1),(7,1),(19,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(20,1),(21,1),(40,1)}
       14:{1,2,4,6,7}:{(8,1),(19,1),(22,1),(24,1),(25,1)}
       15:{1,2,4,5,7}:{(9,1),(23,1),(25,1)}
       16:{1,2,3,5,6}:{(9,1),(25,1),(43,1)}
       17:{1,2,3,5,6,7}:{(11,1),(26,1),(28,1),(44,1)}
       18:{1,2,3,5,7}:{(10,1),(27,1),(28,1),(44,1)}
       19:{2,4,6,7}:{(11,1),(12,1),(31,1)}
       20:{1,3,4,5,7}:{(12,1),(13,1),(31,1),(32,1),(33,1),(44,1)}
       21:{2,3,4,5,6}:{(13,1),(32,1),(47,1)}
       22:{1,3,4,6,7}:{(14,1),(29,1),(33,1),(34,1)}
       23:{1,3,4,5,7}:{(15,1),(30,1),(33,1),(34,1)}
       24:{1,2,4,5,7}:{(14,1),(31,1),(33,1),(35,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,6,7}:{(17,1),(19,1),(36,1),(38,1),(39,1)}
       27:{1,2,4,5,7}:{(18,1),(37,1),(39,1)}
       28:{1,2,3,5,6}:{(18,1),(39,1),(48,1)}
       29:{2,3,4,6,7}:{(19,1),(22,1),(36,1),(40,1),(41,1)}
       30:{2,3,4,5,7}:{(23,1),(37,1),(40,1),(41,1)}
       31:{2,4,5,7}:{(19,1),(20,1),(40,1),(42,1)}
       32:{1,3,4,5,6}:{(20,1),(21,1),(42,1),(43,1),(48,1)}
       33:{1,3,5,7}:{(22,1),(24,1),(40,1),(43,1)}
       34:{1,3,4,6}:{(23,1),(25,1),(41,1),(43,1)}
       35:{1,2,4,5,6}:{(24,1),(25,1),(42,1),(43,1)}
       36:{1,3,4,6,7}:{(26,1),(29,1),(44,1),(45,1)}
       37:{1,3,4,5,7}:{(27,1),(30,1),(44,1),(45,1)}
       38:{1,2,4,5,7}:{(26,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6}:{(27,1),(28,1),(45,1)}
       40:{2,3,5,7}:{(29,1),(31,1),(33,1),(44,1),(47,1)}
       41:{2,3,4,6}:{(30,1),(34,1),(45,1),(47,1)}
       42:{2,4,5,6}:{(31,1),(32,1),(47,1)}
       43:{1,3,5,6}:{(33,1),(34,1),(35,1),(47,1)}
       44:{1,3,5,7}:{(36,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,6}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,6}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,6}:{(44,1),(45,1),(46,1),(47,1)}

3162 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,5,6,7}:{(5,1),(13,1),(24,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1)}
       14:{1,2,3,5,6}:{(10,1),(20,1),(21,1)}
       15:{1,2,3,4,7}:{(10,1),(21,1)}
       16:{1,3,4,5,6}:{(11,1),(20,1),(22,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(22,1),(23,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(24,1),(30,1)}
       20:{1,2,4,5,6}:{(14,1),(16,1),(26,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(26,1),(27,1)}
       22:{1,3,4,5,7}:{(16,1),(17,1),(26,1),(28,1)}
       23:{2,3,4,6,7}:{(17,1),(18,1),(28,1),(29,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1)}
       25:{1,3,4,5,6,7}:{(24,1),(30,1)}
       26:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(31,1)}
       27:{1,2,3,6,7}:{(21,1),(31,1)}
       28:{1,3,4,6,7}:{(22,1),(23,1),(31,1),(32,1)}
       29:{2,3,5,6,7}:{(23,1),(24,1),(30,1),(32,1)}
       30:{2,4,5,6,7}:{(25,1),(29,1),(33,1)}
       31:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(33,1),(34,1)}
       33:{1,4,5,6,7}:{(30,1),(32,1)}
       34:{1,2,5,6,7}:{(31,1),(32,1)}

3163 :  0:{2,3,4,5,6,7}:{(1,1),(8,1),(10,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(5,1),(15,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(23,1)}
        3:{1,2,4,5,6,7}:{(2,1),(5,1),(14,1),(18,1),(30,1)}
        4:{2,3,5,6,7}:{(2,1),(5,1),(6,1),(32,1)}
        5:{1,3,5,6,7}:{(3,1),(4,1),(8,1),(9,1),(25,1),(37,1)}
        6:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        7:{1,2,3,5,6,7}:{(8,1),(11,1),(25,1),(28,1)}
        8:{2,3,5,6,7}:{(5,1),(14,1),(32,1)}
        9:{1,3,4,6,7}:{(5,1),(6,1),(14,1),(15,1)}
       10:{2,3,4,5,7}:{(6,1),(15,1),(16,1),(32,1)}
       11:{1,2,4,6,7}:{(7,1),(14,1),(17,1),(18,1),(36,1)}
       12:{1,2,3,4,6,7}:{(17,1),(19,1),(36,1)}
       13:{1,2,3,5,6,7}:{(8,1),(20,1),(37,1),(40,1)}
       14:{2,4,6,7}:{(8,1),(9,1),(23,1)}
       15:{1,3,4,5,7}:{(9,1),(10,1),(23,1),(24,1),(25,1),(37,1)}
       16:{2,3,4,5,6}:{(10,1),(24,1),(42,1)}
       17:{1,3,4,6,7}:{(11,1),(22,1),(25,1),(43,1)}
       18:{1,2,4,5,7}:{(11,1),(23,1),(25,1),(26,1)}
       19:{1,2,3,5,7}:{(12,1),(25,1),(27,1),(28,1)}
       20:{1,2,4,6,7}:{(13,1),(14,1),(29,1),(30,1),(46,1)}
       21:{1,2,3,4,6,7}:{(29,1),(31,1),(46,1)}
       22:{2,3,4,6,7}:{(14,1),(17,1),(29,1),(32,1),(47,1)}
       23:{2,4,5,7}:{(14,1),(15,1),(32,1),(33,1)}
       24:{1,3,4,5,6}:{(15,1),(16,1),(33,1),(35,1),(45,1)}
       25:{1,3,5,7}:{(17,1),(18,1),(32,1),(35,1)}
       26:{1,2,4,5,6}:{(18,1),(33,1),(35,1),(36,1)}
       27:{1,2,4,5,7}:{(19,1),(34,1),(36,1)}
       28:{1,2,3,5,6}:{(19,1),(35,1),(36,1)}
       29:{1,3,4,6,7}:{(20,1),(22,1),(37,1),(48,1)}
       30:{1,2,4,5,7}:{(20,1),(23,1),(37,1),(38,1)}
       31:{1,2,3,5,7}:{(21,1),(37,1),(39,1),(40,1)}
       32:{2,3,5,7}:{(22,1),(23,1),(25,1),(37,1),(42,1)}
       33:{2,4,5,6}:{(23,1),(24,1),(42,1)}
       34:{1,3,4,5,7}:{(25,1),(27,1),(41,1),(43,1)}
       35:{1,3,5,6}:{(25,1),(26,1),(42,1),(43,1)}
       36:{1,2,4,6}:{(27,1),(28,1),(43,1)}
       37:{1,3,5,7}:{(29,1),(30,1),(32,1),(45,1)}
       38:{1,2,4,5,6}:{(30,1),(33,1),(45,1),(46,1)}
       39:{1,2,4,5,7}:{(31,1),(44,1),(46,1)}
       40:{1,2,3,5,6}:{(31,1),(45,1),(46,1)}
       41:{2,3,4,5,7}:{(32,1),(34,1),(44,1),(47,1)}
       42:{2,3,5,6}:{(32,1),(33,1),(35,1),(45,1),(47,1)}
       43:{1,3,4,6}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,4,5,7}:{(37,1),(39,1),(41,1),(48,1)}
       45:{1,3,5,6}:{(37,1),(38,1),(42,1),(48,1)}
       46:{1,2,4,6}:{(39,1),(40,1),(48,1)}
       47:{2,3,4,6}:{(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,4,6}:{(44,1),(45,1),(46,1),(47,1)}

3164 :  0:{2,3,4,5,6,7}:{(1,1),(15,1),(50,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(8,1),(54,1)}
        2:{2,4,5,6,7}:{(1,1),(5,1),(55,1)}
        3:{1,2,3,4,6,7}:{(6,1),(20,1),(39,1)}
        4:{1,2,4,5,6,7}:{(2,1),(8,1),(25,1),(40,1)}
        5:{2,3,5,6,7}:{(2,1),(8,1),(10,1),(53,1)}
        6:{1,2,3,5,7}:{(3,1),(11,1),(12,1),(49,1)}
        7:{2,3,4,5,6,7}:{(13,1),(18,1),(44,1)}
        8:{1,3,5,6,7}:{(4,1),(5,1),(15,1),(17,1),(49,1)}
        9:{2,3,4,5,6}:{(16,1),(18,1),(45,1)}
       10:{2,3,4,6,7}:{(5,1),(17,1),(18,1)}
       11:{1,2,4,5,7}:{(6,1),(19,1),(20,1)}
       12:{1,2,3,5,6}:{(6,1),(20,1),(38,1)}
       13:{1,3,4,5,6,7}:{(7,1),(22,1),(26,1),(37,1)}
       14:{2,3,4,5,7}:{(19,1),(23,1),(43,1)}
       15:{2,3,5,6,7}:{(8,1),(25,1),(43,1)}
       16:{1,3,4,5,6}:{(9,1),(24,1),(26,1),(38,1)}
       17:{1,3,4,6,7}:{(8,1),(10,1),(25,1),(26,1)}
       18:{2,3,4,5,7}:{(9,1),(10,1),(26,1),(53,1)}
       19:{1,3,4,5,7}:{(11,1),(14,1),(27,1),(29,1),(49,1)}
       20:{1,2,4,6}:{(11,1),(12,1),(29,1)}
       21:{1,2,3,5,6,7}:{(12,1),(15,1),(31,1),(44,1),(49,1)}
       22:{2,4,5,6,7}:{(13,1),(32,1),(35,1)}
       23:{2,3,4,6}:{(14,1),(29,1),(33,1)}
       24:{2,4,5,6}:{(16,1),(33,1),(35,1)}
       25:{2,4,6,7}:{(15,1),(17,1),(35,1)}
       26:{1,3,4,5,7}:{(16,1),(17,1),(18,1),(35,1),(49,1)}
       27:{2,3,4,5,7}:{(19,1),(36,1),(53,1)}
       28:{1,2,4,5,6,7}:{(22,1),(37,1),(40,1),(52,1)}
       29:{1,3,4,6}:{(19,1),(20,1),(23,1),(36,1),(38,1)}
       30:{1,2,4,5,6}:{(20,1),(24,1),(38,1),(40,1),(51,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(39,1),(40,1),(52,1)}
       32:{2,3,5,6,7}:{(22,1),(37,1),(42,1),(43,1)}
       33:{2,3,5,6}:{(23,1),(24,1),(38,1),(43,1)}
       34:{2,3,4,6,7}:{(23,1),(25,1),(39,1),(43,1)}
       35:{2,4,5,7}:{(24,1),(25,1),(26,1),(43,1)}
       36:{2,3,4,6}:{(27,1),(29,1),(45,1)}
       37:{1,3,5,6,7}:{(28,1),(32,1),(44,1),(48,1),(49,1)}
       38:{1,3,5,6}:{(29,1),(30,1),(33,1),(45,1),(49,1)}
       39:{1,3,4,6,7}:{(29,1),(31,1),(34,1),(46,1),(49,1)}
       40:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(49,1),(55,1)}
       41:{2,3,4,5,6}:{(33,1),(47,1),(50,1)}
       42:{2,3,4,6,7}:{(32,1),(48,1),(50,1)}
       43:{2,3,5,7}:{(33,1),(34,1),(35,1),(49,1)}
       44:{2,3,5,6,7}:{(37,1),(52,1),(53,1)}
       45:{2,3,5,6}:{(36,1),(38,1),(51,1),(53,1)}
       46:{2,3,4,6,7}:{(36,1),(39,1),(52,1),(53,1)}
       47:{1,3,4,5,6}:{(38,1),(41,1),(51,1),(54,1)}
       48:{1,3,4,6,7}:{(37,1),(42,1),(52,1),(54,1)}
       49:{1,3,5,7}:{(38,1),(39,1),(40,1),(43,1),(53,1)}
       50:{2,3,4,5,7}:{(41,1),(42,1),(43,1),(54,1)}
       51:{2,4,5,6}:{(45,1),(47,1),(55,1)}
       52:{2,4,6,7}:{(44,1),(48,1),(55,1)}
       53:{2,3,5,7}:{(45,1),(46,1),(49,1),(55,1)}
       54:{1,3,4,5,7}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,4,5,7}:{(51,1),(52,1),(53,1),(54,1)}

3165 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,6,7}:{(1,1),(7,1),(17,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,5,6,7}:{(7,1),(17,1),(27,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,4,5,6,7}:{(17,1),(27,1),(33,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,3,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}

3166 :  0:{2,3,4,5,6,7}:{(1,1),(18,1),(36,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(10,1),(46,1)}
        2:{2,3,4,5,6,7}:{(4,1),(21,1),(33,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(53,1)}
        4:{1,3,4,5,6,7}:{(2,1),(8,1),(22,1),(31,1)}
        5:{1,2,3,4,6,7}:{(9,1),(26,1),(48,1)}
        6:{1,2,4,5,6,7}:{(3,1),(10,1),(30,1),(49,1)}
        7:{2,3,5,6,7}:{(3,1),(10,1),(12,1),(55,1)}
        8:{2,4,5,6,7}:{(4,1),(14,1),(42,1)}
        9:{1,2,3,5,7}:{(5,1),(15,1),(16,1),(54,1)}
       10:{1,3,5,6,7}:{(6,1),(7,1),(18,1),(20,1),(54,1)}
       11:{2,3,4,5,6}:{(19,1),(21,1),(51,1)}
       12:{2,3,4,6,7}:{(7,1),(20,1),(21,1)}
       13:{1,2,4,5,6,7}:{(8,1),(22,1),(45,1),(49,1)}
       14:{2,3,5,6,7}:{(8,1),(22,1),(24,1),(50,1)}
       15:{1,2,4,5,7}:{(9,1),(25,1),(26,1)}
       16:{1,2,3,5,6}:{(9,1),(26,1),(47,1)}
       17:{2,3,4,5,7}:{(25,1),(28,1),(50,1)}
       18:{2,3,5,6,7}:{(10,1),(30,1),(50,1)}
       19:{1,3,4,5,6}:{(11,1),(29,1),(31,1),(47,1)}
       20:{1,3,4,6,7}:{(10,1),(12,1),(30,1),(31,1)}
       21:{2,3,4,5,7}:{(11,1),(12,1),(31,1),(55,1)}
       22:{1,3,5,6,7}:{(13,1),(14,1),(33,1),(35,1),(54,1)}
       23:{2,3,4,5,6}:{(34,1),(36,1),(40,1)}
       24:{2,3,4,6,7}:{(14,1),(35,1),(36,1)}
       25:{1,3,4,5,7}:{(15,1),(17,1),(32,1),(37,1),(54,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(37,1)}
       27:{1,2,3,5,6,7}:{(16,1),(18,1),(33,1),(39,1),(54,1)}
       28:{2,3,4,6}:{(17,1),(37,1),(40,1)}
       29:{2,4,5,6}:{(19,1),(40,1),(42,1)}
       30:{2,4,6,7}:{(18,1),(20,1),(42,1)}
       31:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(54,1)}
       32:{2,3,4,5,7}:{(25,1),(43,1),(55,1)}
       33:{2,3,5,6,7}:{(22,1),(45,1),(55,1)}
       34:{1,3,4,5,6}:{(23,1),(44,1),(46,1),(47,1)}
       35:{1,3,4,6,7}:{(22,1),(24,1),(45,1),(46,1)}
       36:{2,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1)}
       37:{1,3,4,6}:{(25,1),(26,1),(28,1),(43,1),(47,1)}
       38:{1,2,4,5,6}:{(26,1),(29,1),(44,1),(47,1),(49,1)}
       39:{1,2,4,6,7}:{(26,1),(27,1),(30,1),(45,1),(48,1),(49,1)}
       40:{2,3,5,6}:{(28,1),(29,1),(47,1),(50,1)}
       41:{2,3,4,6,7}:{(28,1),(30,1),(48,1),(50,1)}
       42:{2,4,5,7}:{(29,1),(30,1),(31,1),(50,1)}
       43:{2,3,4,6}:{(32,1),(37,1),(51,1)}
       44:{2,4,5,6}:{(34,1),(51,1),(53,1)}
       45:{2,4,6,7}:{(33,1),(35,1),(53,1)}
       46:{1,3,4,5,7}:{(34,1),(35,1),(36,1),(53,1),(54,1)}
       47:{1,3,5,6}:{(37,1),(38,1),(40,1),(51,1),(54,1)}
       48:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(52,1),(54,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(53,1),(54,1)}
       50:{2,3,5,7}:{(40,1),(41,1),(42,1),(54,1)}
       51:{2,3,5,6}:{(43,1),(44,1),(47,1),(55,1)}
       52:{2,3,4,6,7}:{(43,1),(45,1),(48,1),(55,1)}
       53:{2,4,5,7}:{(44,1),(45,1),(46,1),(55,1)}
       54:{1,3,5,7}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,3,5,7}:{(51,1),(52,1),(53,1),(54,1)}

3167 :  0:{2,3,4,5,6,7}:{(1,1),(13,1),(25,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(8,1),(34,1)}
        2:{2,3,4,5,6,7}:{(4,1),(15,1),(23,1)}
        3:{2,4,5,6,7}:{(1,1),(6,1),(45,1)}
        4:{1,3,4,5,6,7}:{(2,1),(7,1),(16,1),(21,1)}
        5:{1,2,4,5,6,7}:{(3,1),(8,1),(20,1),(38,1)}
        6:{2,3,5,6,7}:{(3,1),(8,1),(9,1),(51,1)}
        7:{2,4,5,6,7}:{(4,1),(11,1),(31,1)}
        8:{1,3,5,6,7}:{(5,1),(6,1),(13,1),(14,1),(47,1)}
        9:{2,3,4,6,7}:{(6,1),(14,1),(15,1)}
       10:{1,2,4,5,6,7}:{(7,1),(16,1),(33,1),(38,1)}
       11:{2,3,5,6,7}:{(7,1),(16,1),(17,1),(40,1)}
       12:{1,2,3,4,6,7}:{(19,1),(36,1),(39,1)}
       13:{2,3,5,6,7}:{(8,1),(20,1),(40,1)}
       14:{1,3,4,6,7}:{(8,1),(9,1),(20,1),(21,1)}
       15:{2,3,4,5,7}:{(9,1),(21,1),(22,1),(51,1)}
       16:{1,3,5,6,7}:{(10,1),(11,1),(23,1),(24,1),(47,1)}
       17:{2,3,4,6,7}:{(11,1),(24,1),(25,1)}
       18:{1,2,3,5,6,7}:{(13,1),(23,1),(26,1),(28,1),(47,1)}
       19:{1,2,3,5,7}:{(12,1),(27,1),(28,1),(47,1)}
       20:{2,4,6,7}:{(13,1),(14,1),(31,1)}
       21:{1,3,4,5,7}:{(14,1),(15,1),(31,1),(32,1),(47,1)}
       22:{2,3,4,5,6}:{(15,1),(32,1),(55,1)}
       23:{2,3,5,6,7}:{(16,1),(33,1),(51,1)}
       24:{1,3,4,6,7}:{(16,1),(17,1),(33,1),(34,1)}
       25:{2,3,4,5,7}:{(17,1),(34,1),(35,1),(40,1)}
       26:{1,2,4,6,7}:{(18,1),(20,1),(33,1),(36,1),(38,1),(39,1)}
       27:{1,2,4,5,7}:{(19,1),(37,1),(39,1)}
       28:{1,2,3,5,6}:{(19,1),(39,1),(54,1)}
       29:{2,3,4,6,7}:{(20,1),(36,1),(40,1),(41,1)}
       30:{2,3,4,5,7}:{(37,1),(40,1),(41,1)}
       31:{2,4,5,7}:{(20,1),(21,1),(40,1),(42,1)}
       32:{1,3,4,5,6}:{(21,1),(22,1),(42,1),(54,1)}
       33:{2,4,6,7}:{(23,1),(24,1),(45,1)}
       34:{1,3,4,5,7}:{(24,1),(25,1),(45,1),(46,1),(47,1)}
       35:{2,3,4,5,6}:{(25,1),(46,1),(50,1)}
       36:{1,3,4,6,7}:{(26,1),(29,1),(43,1),(47,1),(48,1)}
       37:{1,3,4,5,7}:{(27,1),(30,1),(44,1),(47,1),(48,1)}
       38:{1,2,4,5,7}:{(26,1),(31,1),(45,1),(47,1),(49,1)}
       39:{1,2,4,6}:{(27,1),(28,1),(48,1)}
       40:{2,3,5,7}:{(29,1),(31,1),(47,1),(50,1)}
       41:{2,3,4,6}:{(30,1),(48,1),(50,1)}
       42:{2,4,5,6}:{(31,1),(32,1),(50,1)}
       43:{2,3,4,6,7}:{(33,1),(36,1),(51,1),(52,1)}
       44:{2,3,4,5,7}:{(37,1),(51,1),(52,1)}
       45:{2,4,5,7}:{(33,1),(34,1),(51,1),(53,1)}
       46:{1,3,4,5,6}:{(34,1),(35,1),(53,1),(54,1)}
       47:{1,3,5,7}:{(36,1),(38,1),(40,1),(51,1),(54,1)}
       48:{1,3,4,6}:{(37,1),(39,1),(41,1),(52,1),(54,1)}
       49:{1,2,4,5,6}:{(38,1),(39,1),(42,1),(53,1),(54,1)}
       50:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1)}
       51:{2,3,5,7}:{(43,1),(45,1),(47,1),(55,1)}
       52:{2,3,4,6}:{(44,1),(48,1),(55,1)}
       53:{2,4,5,6}:{(45,1),(46,1),(55,1)}
       54:{1,3,5,6}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,3,5,6}:{(51,1),(52,1),(53,1),(54,1)}

3168 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1),(3,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,7}:{(1,1),(5,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1),(9,1)}
        6:{2,3,4,5,6}:{(7,1),(10,1)}
        7:{1,3,4,5,6}:{(4,1),(6,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,6,7}:{(5,1),(13,1)}
       10:{2,3,4,5,7}:{(6,1),(12,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(16,1),(17,1)}
       14:{2,3,4,6,7}:{(10,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(20,1)}
       16:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(20,1),(21,1)}
       17:{1,2,5,6,7}:{(13,1),(21,1)}
       18:{2,3,5,6,7}:{(14,1),(21,1),(22,1)}
       19:{3,4,5,6,7}:{(22,1)}
       20:{2,3,4,6,7}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(18,1),(23,1),(24,1)}
       22:{2,4,5,6,7}:{(18,1),(19,1),(24,1)}
       23:{2,3,5,6,7}:{(20,1),(21,1),(25,1)}
       24:{1,4,5,6,7}:{(21,1),(22,1),(25,1)}
       25:{2,4,5,6,7}:{(23,1),(24,1),(26,1)}
       26:{3,4,5,6,7}:{(25,1)}

3169 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(2,1)}
        2:{1,2,3,4,6,7}:{(1,1),(3,1)}
        3:{1,2,3,5,6,7}:{(2,1),(4,1)}
        4:{1,2,4,5,6,7}:{(3,1),(5,1)}
        5:{1,3,4,5,6,7}:{(4,1),(6,1)}
        6:{2,3,4,5,6,7}:{(5,1),(7,1)}
        7:{1,3,4,5,6,7}:{(6,1),(8,1)}
        8:{1,2,4,5,6,7}:{(7,1),(9,1)}
        9:{1,2,3,5,6,7}:{(8,1),(10,1)}
       10:{1,2,3,4,6,7}:{(9,1),(11,1)}
       11:{1,2,3,4,5,7}:{(10,1),(12,1)}
       12:{1,2,3,4,5,6}:{(11,1)}

3170 :  0:{1,2,3,4,5,7}:{(5,1),(6,1)}
        1:{1,2,3,4,6,7}:{(5,1),(6,1),(7,1)}
        2:{1,2,3,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,4,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,3,4,5,6,7}:{(8,1),(9,1)}
        5:{1,2,3,4,6}:{(0,1),(10,1)}
        6:{1,2,3,5,7}:{(1,1),(10,1),(11,1)}
        7:{1,2,4,6,7}:{(2,1),(11,1),(12,1)}
        8:{1,3,5,6,7}:{(3,1),(12,1),(13,1)}
        9:{2,4,5,6,7}:{(4,1),(13,1),(14,1)}
       10:{1,2,3,5,6}:{(5,1),(6,1),(15,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(15,1),(16,1)}
       12:{1,3,4,6,7}:{(7,1),(8,1),(16,1),(17,1)}
       13:{2,3,5,6,7}:{(8,1),(9,1),(17,1),(18,1)}
       14:{1,4,5,6,7}:{(9,1),(18,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(19,1)}
       16:{1,3,4,5,7}:{(11,1),(12,1),(19,1),(20,1)}
       17:{2,3,4,6,7}:{(12,1),(13,1),(20,1),(21,1)}
       18:{1,3,5,6,7}:{(13,1),(14,1),(21,1),(22,1)}
       19:{1,3,4,5,6}:{(15,1),(16,1),(23,1)}
       20:{2,3,4,5,7}:{(16,1),(17,1),(23,1),(24,1)}
       21:{1,3,4,6,7}:{(17,1),(18,1),(24,1),(25,1)}
       22:{1,2,5,6,7}:{(18,1),(25,1)}
       23:{2,3,4,5,6}:{(19,1),(20,1),(26,1)}
       24:{1,3,4,5,7}:{(20,1),(21,1),(26,1),(27,1)}
       25:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(28,1)}
       26:{1,3,4,5,6}:{(23,1),(24,1),(29,1)}
       27:{1,2,4,5,7}:{(24,1),(25,1),(29,1),(30,1)}
       28:{1,2,3,6,7}:{(25,1),(30,1)}
       29:{1,2,4,5,6}:{(26,1),(27,1),(31,1)}
       30:{1,2,3,5,7}:{(27,1),(28,1),(31,1),(32,1)}
       31:{1,2,3,5,6}:{(29,1),(30,1),(33,1)}
       32:{1,2,3,4,7}:{(30,1),(33,1)}
       33:{1,2,3,4,6}:{(31,1),(32,1),(34,1)}
       34:{1,2,3,4,5}:{(33,1)}

3171 :  0:{2,3,4,5,6,7}:{(1,1),(12,1)}
        1:{1,3,4,5,6,7}:{(0,1),(6,1),(7,1),(16,1)}
        2:{1,2,4,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,3,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,3,4,5,7}:{(9,1),(10,1)}
        6:{2,4,5,6,7}:{(1,1),(12,1)}
        7:{1,3,5,6,7}:{(2,1),(12,1),(13,1)}
        8:{1,2,4,6,7}:{(3,1),(13,1),(14,1)}
        9:{1,2,3,5,7}:{(4,1),(14,1),(15,1)}
       10:{1,2,3,4,6}:{(5,1),(15,1)}
       11:{1,2,4,5,6,7}:{(6,1),(16,1),(24,1)}
       12:{2,3,5,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       13:{1,3,4,6,7}:{(7,1),(8,1),(17,1),(18,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       15:{1,2,3,5,6}:{(9,1),(10,1),(19,1)}
       16:{1,3,5,6,7}:{(11,1),(12,1),(21,1)}
       17:{2,3,4,6,7}:{(12,1),(13,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(13,1),(14,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(14,1),(15,1),(23,1)}
       20:{1,2,3,5,6,7}:{(16,1),(24,1),(30,1)}
       21:{1,3,4,6,7}:{(16,1),(17,1),(24,1),(25,1)}
       22:{2,3,4,5,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,4,5,6}:{(18,1),(19,1),(26,1)}
       24:{1,2,4,6,7}:{(20,1),(21,1),(28,1)}
       25:{1,3,4,5,7}:{(21,1),(22,1),(28,1),(29,1)}
       26:{2,3,4,5,6}:{(22,1),(23,1),(29,1)}
       27:{1,2,3,4,6,7}:{(24,1),(30,1),(34,1)}
       28:{1,2,4,5,7}:{(24,1),(25,1),(30,1),(31,1)}
       29:{1,3,4,5,6}:{(25,1),(26,1),(31,1)}
       30:{1,2,3,5,7}:{(27,1),(28,1),(33,1)}
       31:{1,2,4,5,6}:{(28,1),(29,1),(33,1)}
       32:{1,2,3,4,5,7}:{(30,1),(34,1)}
       33:{1,2,3,5,6}:{(30,1),(31,1),(34,1)}
       34:{1,2,3,4,6}:{(32,1),(33,1)}

3172 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        3:{1,2,3,4,6,7}:{(1,1),(8,1),(9,1)}
        4:{1,2,3,5,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,4,5,6,7}:{(9,1),(10,1),(11,1)}
        6:{1,3,4,5,6,7}:{(10,1),(11,1)}
        7:{1,2,4,5,6}:{(2,1),(12,1),(13,1)}
        8:{1,2,3,5,7}:{(2,1),(3,1),(13,1)}
        9:{1,2,4,6,7}:{(4,1),(13,1),(14,1)}
       10:{1,3,5,6,7}:{(5,1),(14,1),(15,1)}
       11:{2,4,5,6,7}:{(6,1),(15,1),(16,1)}
       12:{1,3,4,5,6}:{(7,1),(17,1),(18,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(18,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(18,1),(19,1)}
       15:{2,3,5,6,7}:{(10,1),(11,1),(19,1),(20,1)}
       16:{1,4,5,6,7}:{(11,1),(20,1)}
       17:{2,3,4,5,6}:{(12,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(12,1),(13,1),(14,1),(22,1)}
       19:{2,3,4,6,7}:{(14,1),(15,1),(22,1),(23,1)}
       20:{1,3,5,6,7}:{(15,1),(16,1),(23,1),(24,1)}
       21:{1,3,4,5,6}:{(17,1),(25,1),(26,1)}
       22:{2,3,4,5,7}:{(17,1),(18,1),(19,1),(26,1)}
       23:{1,3,4,6,7}:{(19,1),(20,1),(26,1),(27,1)}
       24:{1,2,5,6,7}:{(20,1),(27,1)}
       25:{1,2,4,5,6}:{(21,1),(29,1),(30,1)}
       26:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(30,1)}
       27:{1,2,4,6,7}:{(23,1),(24,1),(30,1),(31,1)}
       28:{1,2,3,4,5}:{(32,1)}
       29:{1,2,3,5,6}:{(25,1),(32,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(33,1)}
       31:{1,2,3,6,7}:{(27,1),(33,1)}
       32:{1,2,3,4,6}:{(28,1),(29,1),(34,1)}
       33:{1,2,3,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       34:{1,2,3,4,7}:{(32,1),(33,1)}

3173 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(6,1),(7,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(7,1)}
        6:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        8:{1,2,3,5,6,7}:{(5,1),(13,1),(14,1)}
        9:{1,2,4,5,6,7}:{(13,1),(14,1),(15,1)}
       10:{1,3,4,5,6,7}:{(14,1),(15,1)}
       11:{2,3,4,5,6}:{(6,1),(17,1),(18,1)}
       12:{1,3,4,5,7}:{(6,1),(7,1),(18,1),(19,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(19,1)}
       14:{1,3,5,6,7}:{(9,1),(19,1),(20,1)}
       15:{2,4,5,6,7}:{(10,1),(20,1),(21,1)}
       16:{1,2,3,4,5}:{(22,1)}
       17:{1,3,4,5,6}:{(11,1),(23,1),(24,1)}
       18:{2,3,4,5,7}:{(11,1),(12,1),(24,1),(25,1)}
       19:{1,3,4,6,7}:{(12,1),(13,1),(14,1),(25,1)}
       20:{2,3,5,6,7}:{(14,1),(15,1),(25,1),(26,1)}
       21:{1,4,5,6,7}:{(15,1),(26,1)}
       22:{1,2,3,4,6}:{(16,1),(27,1),(28,1)}
       23:{1,2,4,5,6}:{(17,1),(27,1),(29,1)}
       24:{1,3,4,5,7}:{(17,1),(18,1),(29,1),(30,1)}
       25:{2,3,4,6,7}:{(18,1),(19,1),(20,1),(30,1)}
       26:{1,3,5,6,7}:{(20,1),(21,1),(30,1),(31,1)}
       27:{1,2,3,5,6}:{(22,1),(23,1),(32,1)}
       28:{1,2,3,4,7}:{(22,1),(32,1)}
       29:{1,2,4,5,7}:{(23,1),(24,1),(32,1),(33,1)}
       30:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(33,1)}
       31:{1,2,5,6,7}:{(26,1),(33,1)}
       32:{1,2,3,5,7}:{(27,1),(28,1),(29,1),(34,1)}
       33:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(34,1)}
       34:{1,2,3,6,7}:{(32,1),(33,1)}

3174 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1)}
        4:{1,2,4,5,6}:{(2,1),(7,1),(8,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(8,1)}
        6:{1,2,3,4,5}:{(10,1)}
        7:{1,3,4,5,6}:{(4,1),(11,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(12,1),(13,1)}
        9:{1,2,3,5,6,7}:{(5,1),(13,1),(25,1)}
       10:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(16,1),(17,1)}
       12:{1,3,4,5,7}:{(7,1),(8,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(8,1),(9,1),(18,1)}
       14:{1,2,3,5,6}:{(10,1),(21,1),(22,1)}
       15:{1,2,3,4,7}:{(10,1),(22,1)}
       16:{1,3,4,5,6}:{(11,1),(21,1),(23,1)}
       17:{2,3,4,5,7}:{(11,1),(12,1),(23,1),(24,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(24,1),(25,1)}
       19:{1,2,4,5,6,7}:{(13,1),(25,1),(26,1)}
       20:{1,3,4,5,6,7}:{(25,1),(26,1)}
       21:{1,2,4,5,6}:{(14,1),(16,1),(27,1)}
       22:{1,2,3,5,7}:{(14,1),(15,1),(27,1),(28,1)}
       23:{1,3,4,5,7}:{(16,1),(17,1),(27,1),(29,1)}
       24:{2,3,4,6,7}:{(17,1),(18,1),(29,1),(30,1)}
       25:{1,3,5,6,7}:{(18,1),(19,1),(30,1)}
       26:{2,4,5,6,7}:{(20,1),(30,1),(31,1)}
       27:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(32,1)}
       28:{1,2,3,6,7}:{(22,1),(32,1)}
       29:{1,3,4,6,7}:{(23,1),(24,1),(32,1),(33,1)}
       30:{2,3,5,6,7}:{(24,1),(25,1),(26,1),(33,1)}
       31:{1,4,5,6,7}:{(26,1),(33,1)}
       32:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(34,1)}
       33:{1,3,5,6,7}:{(29,1),(30,1),(31,1),(34,1)}
       34:{1,2,5,6,7}:{(32,1),(33,1)}

3175 :  0:{2,3,4,5,6,7}:{(1,1),(20,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1),(33,1)}
        2:{1,2,3,4,6,7}:{(4,1),(15,1),(35,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(42,1)}
        4:{1,2,3,5,7}:{(2,1),(8,1),(9,1),(43,1)}
        5:{1,2,3,4,6,7}:{(10,1),(28,1),(45,1)}
        6:{1,2,4,5,6,7}:{(3,1),(11,1),(32,1),(36,1),(46,1)}
        7:{2,3,5,6,7}:{(3,1),(11,1),(13,1),(47,1)}
        8:{1,2,4,5,7}:{(4,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(34,1)}
       10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(48,1)}
       11:{1,3,5,6,7}:{(6,1),(7,1),(20,1),(22,1),(43,1),(48,1)}
       12:{2,3,4,5,6}:{(21,1),(23,1),(40,1)}
       13:{2,3,4,6,7}:{(7,1),(22,1),(23,1)}
       14:{1,3,4,5,7}:{(8,1),(19,1),(24,1),(43,1)}
       15:{1,2,4,6}:{(8,1),(9,1),(24,1)}
       16:{1,2,3,5,6,7}:{(9,1),(20,1),(26,1),(43,1)}
       17:{1,2,4,5,7}:{(10,1),(27,1),(28,1)}
       18:{1,2,3,5,6}:{(10,1),(28,1),(44,1)}
       19:{2,3,4,5,7}:{(14,1),(27,1),(30,1),(47,1)}
       20:{2,3,5,6,7}:{(11,1),(32,1),(47,1)}
       21:{1,3,4,5,6}:{(12,1),(31,1),(33,1),(34,1),(44,1)}
       22:{1,3,4,6,7}:{(11,1),(13,1),(32,1),(33,1)}
       23:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(47,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(30,1),(34,1)}
       25:{1,2,4,5,6}:{(15,1),(31,1),(34,1),(36,1)}
       26:{1,2,4,6,7}:{(15,1),(16,1),(32,1),(35,1),(36,1)}
       27:{1,3,4,5,7}:{(17,1),(19,1),(37,1),(48,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(37,1)}
       29:{1,2,3,5,6,7}:{(18,1),(20,1),(39,1),(48,1)}
       30:{2,3,4,6}:{(19,1),(24,1),(37,1),(40,1)}
       31:{2,4,5,6}:{(21,1),(40,1),(42,1)}
       32:{2,4,6,7}:{(20,1),(22,1),(42,1)}
       33:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(42,1),(43,1),(48,1)}
       34:{1,3,5,6}:{(24,1),(25,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(24,1),(26,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(25,1),(26,1),(42,1),(43,1)}
       37:{1,3,4,6}:{(27,1),(28,1),(30,1),(44,1)}
       38:{1,2,4,5,6}:{(28,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(45,1),(46,1)}
       40:{2,3,5,6}:{(30,1),(31,1),(34,1),(44,1),(47,1)}
       41:{2,3,4,6,7}:{(30,1),(32,1),(35,1),(45,1),(47,1)}
       42:{2,4,5,7}:{(31,1),(32,1),(33,1),(47,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,5,6}:{(37,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,7}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,7}:{(44,1),(45,1),(46,1),(47,1)}

3176 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,6,7}:{(1,1),(7,1),(17,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1),(9,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,7}:{(5,1),(14,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(16,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(16,1),(17,1)}
       12:{1,2,3,5,6,7}:{(7,1),(17,1),(27,1)}
       13:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(18,1),(21,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(22,1)}
       18:{1,3,4,5,6}:{(13,1),(15,1),(24,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       20:{1,2,3,6,7}:{(14,1),(25,1)}
       21:{2,3,4,5,7}:{(15,1),(16,1),(24,1),(26,1)}
       22:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(27,1)}
       23:{1,2,4,5,6,7}:{(17,1),(27,1),(33,1)}
       24:{1,3,4,5,7}:{(18,1),(19,1),(21,1),(28,1)}
       25:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(22,1),(28,1),(30,1)}
       27:{1,3,5,6,7}:{(22,1),(23,1),(30,1)}
       28:{1,3,4,6,7}:{(24,1),(25,1),(26,1),(32,1)}
       29:{1,2,5,6,7}:{(25,1),(32,1)}
       30:{2,3,5,6,7}:{(26,1),(27,1),(32,1),(33,1)}
       31:{1,3,4,5,6,7}:{(27,1),(33,1)}
       32:{1,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       33:{2,4,5,6,7}:{(30,1),(31,1),(34,1)}
       34:{1,4,5,6,7}:{(32,1),(33,1)}

3177 :  0:{2,3,4,5,6,7}:{(1,1),(20,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1),(33,1)}
        2:{1,2,3,4,6,7}:{(4,1),(15,1),(35,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(42,1)}
        4:{1,2,3,5,7}:{(2,1),(8,1),(9,1),(43,1)}
        5:{1,2,3,4,6,7}:{(10,1),(28,1),(45,1)}
        6:{1,2,4,5,6,7}:{(3,1),(11,1),(32,1),(36,1),(46,1)}
        7:{2,3,5,6,7}:{(3,1),(11,1),(13,1),(47,1)}
        8:{1,2,4,5,7}:{(4,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(34,1)}
       10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(48,1)}
       11:{1,3,5,6,7}:{(6,1),(7,1),(20,1),(22,1),(43,1),(48,1)}
       12:{2,3,4,5,6}:{(21,1),(23,1),(40,1)}
       13:{2,3,4,6,7}:{(7,1),(22,1),(23,1)}
       14:{1,3,4,5,7}:{(8,1),(19,1),(24,1),(43,1)}
       15:{1,2,4,6}:{(8,1),(9,1),(24,1)}
       16:{1,2,3,5,6,7}:{(9,1),(20,1),(26,1),(43,1)}
       17:{1,2,4,5,7}:{(10,1),(27,1),(28,1)}
       18:{1,2,3,5,6}:{(10,1),(28,1),(44,1)}
       19:{2,3,4,5,7}:{(14,1),(27,1),(30,1),(47,1)}
       20:{2,3,5,6,7}:{(11,1),(32,1),(47,1)}
       21:{1,3,4,5,6}:{(12,1),(31,1),(33,1),(34,1),(44,1)}
       22:{1,3,4,6,7}:{(11,1),(13,1),(32,1),(33,1)}
       23:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(47,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(30,1),(34,1)}
       25:{1,2,4,5,6}:{(15,1),(31,1),(34,1),(36,1)}
       26:{1,2,4,6,7}:{(15,1),(16,1),(32,1),(35,1),(36,1)}
       27:{1,3,4,5,7}:{(17,1),(19,1),(37,1),(48,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(37,1)}
       29:{1,2,3,5,6,7}:{(18,1),(20,1),(39,1),(48,1)}
       30:{2,3,4,6}:{(19,1),(24,1),(37,1),(40,1)}
       31:{2,4,5,6}:{(21,1),(40,1),(42,1)}
       32:{2,4,6,7}:{(20,1),(22,1),(42,1)}
       33:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(42,1),(43,1),(48,1)}
       34:{1,3,5,6}:{(24,1),(25,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(24,1),(26,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(25,1),(26,1),(42,1),(43,1)}
       37:{1,3,4,6}:{(27,1),(28,1),(30,1),(44,1)}
       38:{1,2,4,5,6}:{(28,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(45,1),(46,1)}
       40:{2,3,5,6}:{(30,1),(31,1),(34,1),(44,1),(47,1)}
       41:{2,3,4,6,7}:{(30,1),(32,1),(35,1),(45,1),(47,1)}
       42:{2,4,5,7}:{(31,1),(32,1),(33,1),(47,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,5,6}:{(37,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,7}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,7}:{(44,1),(45,1),(46,1),(47,1)}

3178 :  0:{2,3,4,5,6,7}:{(1,1),(11,1),(13,1)}
        1:{1,3,4,5,6,7}:{(0,1),(2,1),(6,1),(20,1)}
        2:{2,4,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,4,5,6,7}:{(2,1),(6,1),(19,1),(24,1),(38,1)}
        4:{2,3,5,6,7}:{(2,1),(6,1),(7,1),(40,1)}
        5:{1,2,3,4,6,7}:{(9,1),(22,1),(25,1)}
        6:{1,3,5,6,7}:{(3,1),(4,1),(11,1),(12,1),(33,1),(44,1)}
        7:{2,3,4,6,7}:{(4,1),(12,1),(13,1)}
        8:{1,2,3,5,6,7}:{(11,1),(14,1),(16,1),(33,1)}
        9:{1,2,3,5,7}:{(5,1),(15,1),(16,1),(33,1)}
       10:{1,2,3,4,6,7}:{(18,1),(36,1),(39,1)}
       11:{2,3,5,6,7}:{(6,1),(19,1),(40,1)}
       12:{1,3,4,6,7}:{(6,1),(7,1),(19,1),(20,1)}
       13:{2,3,4,5,7}:{(7,1),(20,1),(21,1),(40,1)}
       14:{1,2,4,6,7}:{(8,1),(19,1),(22,1),(24,1),(25,1)}
       15:{1,2,4,5,7}:{(9,1),(23,1),(25,1)}
       16:{1,2,3,5,6}:{(9,1),(25,1),(43,1)}
       17:{1,2,3,5,6,7}:{(11,1),(26,1),(28,1),(44,1)}
       18:{1,2,3,5,7}:{(10,1),(27,1),(28,1),(44,1)}
       19:{2,4,6,7}:{(11,1),(12,1),(31,1)}
       20:{1,3,4,5,7}:{(12,1),(13,1),(31,1),(32,1),(33,1),(44,1)}
       21:{2,3,4,5,6}:{(13,1),(32,1),(47,1)}
       22:{1,3,4,6,7}:{(14,1),(29,1),(33,1),(34,1)}
       23:{1,3,4,5,7}:{(15,1),(30,1),(33,1),(34,1)}
       24:{1,2,4,5,7}:{(14,1),(31,1),(33,1),(35,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(34,1)}
       26:{1,2,4,6,7}:{(17,1),(19,1),(36,1),(38,1),(39,1)}
       27:{1,2,4,5,7}:{(18,1),(37,1),(39,1)}
       28:{1,2,3,5,6}:{(18,1),(39,1),(48,1)}
       29:{2,3,4,6,7}:{(19,1),(22,1),(36,1),(40,1),(41,1)}
       30:{2,3,4,5,7}:{(23,1),(37,1),(40,1),(41,1)}
       31:{2,4,5,7}:{(19,1),(20,1),(40,1),(42,1)}
       32:{1,3,4,5,6}:{(20,1),(21,1),(42,1),(43,1),(48,1)}
       33:{1,3,5,7}:{(22,1),(24,1),(40,1),(43,1)}
       34:{1,3,4,6}:{(23,1),(25,1),(41,1),(43,1)}
       35:{1,2,4,5,6}:{(24,1),(25,1),(42,1),(43,1)}
       36:{1,3,4,6,7}:{(26,1),(29,1),(44,1),(45,1)}
       37:{1,3,4,5,7}:{(27,1),(30,1),(44,1),(45,1)}
       38:{1,2,4,5,7}:{(26,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6}:{(27,1),(28,1),(45,1)}
       40:{2,3,5,7}:{(29,1),(31,1),(33,1),(44,1),(47,1)}
       41:{2,3,4,6}:{(30,1),(34,1),(45,1),(47,1)}
       42:{2,4,5,6}:{(31,1),(32,1),(47,1)}
       43:{1,3,5,6}:{(33,1),(34,1),(35,1),(47,1)}
       44:{1,3,5,7}:{(36,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,6}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,6}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,6}:{(44,1),(45,1),(46,1),(47,1)}

3179 :  0:{2,3,4,5,6,7}:{(1,1),(18,1),(36,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(10,1),(46,1)}
        2:{2,3,4,5,6,7}:{(4,1),(21,1),(33,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(53,1)}
        4:{1,3,4,5,6,7}:{(2,1),(8,1),(22,1),(31,1)}
        5:{1,2,3,4,6,7}:{(9,1),(26,1),(48,1)}
        6:{1,2,4,5,6,7}:{(3,1),(10,1),(30,1),(49,1)}
        7:{2,3,5,6,7}:{(3,1),(10,1),(12,1),(55,1)}
        8:{2,4,5,6,7}:{(4,1),(14,1),(42,1)}
        9:{1,2,3,5,7}:{(5,1),(15,1),(16,1),(54,1)}
       10:{1,3,5,6,7}:{(6,1),(7,1),(18,1),(20,1),(54,1)}
       11:{2,3,4,5,6}:{(19,1),(21,1),(51,1)}
       12:{2,3,4,6,7}:{(7,1),(20,1),(21,1)}
       13:{1,2,4,5,6,7}:{(8,1),(22,1),(45,1),(49,1)}
       14:{2,3,5,6,7}:{(8,1),(22,1),(24,1),(50,1)}
       15:{1,2,4,5,7}:{(9,1),(25,1),(26,1)}
       16:{1,2,3,5,6}:{(9,1),(26,1),(47,1)}
       17:{2,3,4,5,7}:{(25,1),(28,1),(50,1)}
       18:{2,3,5,6,7}:{(10,1),(30,1),(50,1)}
       19:{1,3,4,5,6}:{(11,1),(29,1),(31,1),(47,1)}
       20:{1,3,4,6,7}:{(10,1),(12,1),(30,1),(31,1)}
       21:{2,3,4,5,7}:{(11,1),(12,1),(31,1),(55,1)}
       22:{1,3,5,6,7}:{(13,1),(14,1),(33,1),(35,1),(54,1)}
       23:{2,3,4,5,6}:{(34,1),(36,1),(40,1)}
       24:{2,3,4,6,7}:{(14,1),(35,1),(36,1)}
       25:{1,3,4,5,7}:{(15,1),(17,1),(32,1),(37,1),(54,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(37,1)}
       27:{1,2,3,5,6,7}:{(16,1),(18,1),(33,1),(39,1),(54,1)}
       28:{2,3,4,6}:{(17,1),(37,1),(40,1)}
       29:{2,4,5,6}:{(19,1),(40,1),(42,1)}
       30:{2,4,6,7}:{(18,1),(20,1),(42,1)}
       31:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(54,1)}
       32:{2,3,4,5,7}:{(25,1),(43,1),(55,1)}
       33:{2,3,5,6,7}:{(22,1),(45,1),(55,1)}
       34:{1,3,4,5,6}:{(23,1),(44,1),(46,1),(47,1)}
       35:{1,3,4,6,7}:{(22,1),(24,1),(45,1),(46,1)}
       36:{2,3,4,5,7}:{(23,1),(24,1),(46,1),(50,1)}
       37:{1,3,4,6}:{(25,1),(26,1),(28,1),(43,1),(47,1)}
       38:{1,2,4,5,6}:{(26,1),(29,1),(44,1),(47,1),(49,1)}
       39:{1,2,4,6,7}:{(26,1),(27,1),(30,1),(45,1),(48,1),(49,1)}
       40:{2,3,5,6}:{(28,1),(29,1),(47,1),(50,1)}
       41:{2,3,4,6,7}:{(28,1),(30,1),(48,1),(50,1)}
       42:{2,4,5,7}:{(29,1),(30,1),(31,1),(50,1)}
       43:{2,3,4,6}:{(32,1),(37,1),(51,1)}
       44:{2,4,5,6}:{(34,1),(51,1),(53,1)}
       45:{2,4,6,7}:{(33,1),(35,1),(53,1)}
       46:{1,3,4,5,7}:{(34,1),(35,1),(36,1),(53,1),(54,1)}
       47:{1,3,5,6}:{(37,1),(38,1),(40,1),(51,1),(54,1)}
       48:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(52,1),(54,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(53,1),(54,1)}
       50:{2,3,5,7}:{(40,1),(41,1),(42,1),(54,1)}
       51:{2,3,5,6}:{(43,1),(44,1),(47,1),(55,1)}
       52:{2,3,4,6,7}:{(43,1),(45,1),(48,1),(55,1)}
       53:{2,4,5,7}:{(44,1),(45,1),(46,1),(55,1)}
       54:{1,3,5,7}:{(47,1),(48,1),(49,1),(50,1),(55,1)}
       55:{2,3,5,7}:{(51,1),(52,1),(53,1),(54,1)}

3180 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1)}
        4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(9,1)}
        6:{2,3,4,5,6}:{(8,1),(11,1)}
        7:{2,3,4,5,6,7}:{(12,1),(25,1)}
        8:{1,3,4,5,6}:{(4,1),(6,1),(13,1),(14,1)}
        9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(15,1)}
       10:{1,2,3,5,6,7}:{(5,1),(15,1),(23,1)}
       11:{2,3,4,5,7}:{(6,1),(14,1),(16,1)}
       12:{1,3,4,5,6,7}:{(7,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(8,1),(18,1)}
       14:{1,3,4,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1)}
       15:{1,2,4,6,7}:{(9,1),(10,1),(19,1)}
       16:{2,3,4,6,7}:{(11,1),(19,1),(21,1)}
       17:{2,4,5,6,7}:{(12,1),(21,1)}
       18:{2,3,4,5,7}:{(13,1),(14,1),(22,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(16,1),(22,1),(23,1)}
       20:{1,2,4,5,6,7}:{(15,1),(17,1),(23,1),(27,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(23,1)}
       22:{2,3,4,6,7}:{(18,1),(19,1),(25,1)}
       23:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(25,1)}
       24:{2,3,4,5,6,7}:{(21,1),(26,1)}
       25:{2,3,5,6,7}:{(22,1),(23,1),(27,1)}
       26:{1,3,4,5,6,7}:{(23,1),(24,1),(27,1)}
       27:{2,4,5,6,7}:{(25,1),(26,1)}

3181 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(2,1)}
        2:{1,2,3,4,6,7}:{(1,1),(3,1)}
        3:{1,2,3,5,6,7}:{(2,1),(4,1)}
        4:{1,2,4,5,6,7}:{(3,1),(5,1)}
        5:{1,3,4,5,6,7}:{(4,1),(6,1)}
        6:{2,3,4,5,6,7}:{(5,1),(7,1)}
        7:{1,3,4,5,6,7}:{(6,1),(8,1)}
        8:{1,2,4,5,6,7}:{(7,1),(9,1)}
        9:{1,2,3,5,6,7}:{(8,1),(11,1)}
       10:{1,2,3,4,5,6}:{(12,1)}
       11:{1,2,3,4,6,7}:{(9,1),(12,1)}
       12:{1,2,3,4,5,7}:{(10,1),(11,1)}

3182 :  0:{2,3,4,5,6,7}:{(1,1),(12,1)}
        1:{1,3,4,5,6,7}:{(0,1),(6,1),(7,1),(16,1)}
        2:{1,2,4,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,3,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,3,4,5,7}:{(9,1),(10,1)}
        6:{2,4,5,6,7}:{(1,1),(12,1)}
        7:{1,3,5,6,7}:{(2,1),(12,1),(13,1)}
        8:{1,2,4,6,7}:{(3,1),(13,1),(14,1)}
        9:{1,2,3,5,7}:{(4,1),(14,1),(15,1)}
       10:{1,2,3,4,6}:{(5,1),(15,1)}
       11:{1,2,4,5,6,7}:{(6,1),(16,1),(24,1)}
       12:{2,3,5,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       13:{1,3,4,6,7}:{(7,1),(8,1),(17,1),(18,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       15:{1,2,3,5,6}:{(9,1),(10,1),(19,1)}
       16:{1,3,5,6,7}:{(11,1),(12,1),(21,1)}
       17:{2,3,4,6,7}:{(12,1),(13,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(13,1),(14,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(14,1),(15,1),(23,1)}
       20:{1,2,3,5,6,7}:{(16,1),(24,1),(30,1)}
       21:{1,3,4,6,7}:{(16,1),(17,1),(24,1),(25,1)}
       22:{2,3,4,5,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,4,5,6}:{(18,1),(19,1),(26,1)}
       24:{1,2,4,6,7}:{(20,1),(21,1),(28,1)}
       25:{1,3,4,5,7}:{(21,1),(22,1),(28,1),(29,1)}
       26:{2,3,4,5,6}:{(22,1),(23,1),(29,1)}
       27:{1,2,3,4,6,7}:{(24,1),(30,1),(34,1)}
       28:{1,2,4,5,7}:{(24,1),(25,1),(30,1),(31,1)}
       29:{1,3,4,5,6}:{(25,1),(26,1),(31,1)}
       30:{1,2,3,5,7}:{(27,1),(28,1),(33,1)}
       31:{1,2,4,5,6}:{(28,1),(29,1),(33,1)}
       32:{1,2,3,4,5,7}:{(30,1),(34,1)}
       33:{1,2,3,5,6}:{(30,1),(31,1),(34,1)}
       34:{1,2,3,4,6}:{(32,1),(33,1)}

3183 :  0:{1,2,3,4,5,7}:{(2,1),(12,1)}
        1:{2,3,4,5,6,7}:{(3,1),(14,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1)}
        3:{1,3,4,5,6,7}:{(1,1),(8,1),(9,1),(18,1)}
        4:{1,2,4,5,6,7}:{(8,1),(9,1),(11,1)}
        5:{1,2,3,5,6,7}:{(9,1),(11,1),(12,1)}
        6:{1,2,3,5,6}:{(2,1),(10,1),(12,1)}
        7:{1,2,3,4,6,7}:{(2,1),(11,1),(12,1)}
        8:{2,4,5,6,7}:{(3,1),(14,1)}
        9:{1,3,5,6,7}:{(4,1),(14,1),(16,1)}
       10:{1,2,4,5,6}:{(6,1),(15,1),(17,1)}
       11:{1,2,4,6,7}:{(5,1),(16,1),(17,1)}
       12:{1,2,3,5,7}:{(6,1),(7,1),(17,1)}
       13:{1,2,4,5,6,7}:{(8,1),(18,1),(29,1)}
       14:{2,3,5,6,7}:{(8,1),(9,1),(18,1),(20,1)}
       15:{1,3,4,5,6}:{(10,1),(19,1),(21,1)}
       16:{1,3,4,6,7}:{(9,1),(11,1),(20,1),(21,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(21,1)}
       18:{1,3,5,6,7}:{(13,1),(14,1),(25,1)}
       19:{2,3,4,5,6}:{(15,1),(24,1),(26,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1)}
       21:{1,3,4,5,7}:{(15,1),(16,1),(17,1),(26,1)}
       22:{1,2,3,4,5,7}:{(27,1),(34,1)}
       23:{1,2,3,5,6,7}:{(18,1),(29,1),(34,1)}
       24:{1,3,4,5,6}:{(19,1),(28,1),(30,1)}
       25:{1,3,4,6,7}:{(18,1),(20,1),(29,1),(30,1)}
       26:{2,3,4,5,7}:{(19,1),(20,1),(21,1),(30,1)}
       27:{1,2,3,4,6}:{(22,1),(31,1)}
       28:{1,2,4,5,6}:{(24,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(25,1),(33,1)}
       30:{1,3,4,5,7}:{(24,1),(25,1),(26,1),(33,1)}
       31:{1,2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,2,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,2,3,5,7}:{(31,1),(32,1),(33,1)}

3184 :  0:{1,2,3,4,5,7}:{(1,1),(6,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,4,6,7}:{(1,1),(6,1),(18,1)}
        4:{2,3,4,5,6,7}:{(8,1),(24,1)}
        5:{1,2,4,5,6}:{(2,1),(9,1),(11,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(11,1)}
        7:{1,2,3,4,5,7}:{(13,1),(27,1)}
        8:{1,3,4,5,6,7}:{(4,1),(15,1),(17,1),(29,1)}
        9:{1,3,4,5,6}:{(5,1),(14,1),(16,1)}
       10:{1,2,4,5,6,7}:{(15,1),(17,1),(18,1)}
       11:{1,2,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
       12:{1,2,3,5,6,7}:{(6,1),(17,1),(18,1)}
       13:{1,2,3,4,6}:{(7,1),(19,1)}
       14:{2,3,4,5,6}:{(9,1),(21,1),(23,1)}
       15:{2,4,5,6,7}:{(8,1),(24,1)}
       16:{1,3,4,5,7}:{(9,1),(11,1),(23,1),(25,1)}
       17:{1,3,5,6,7}:{(10,1),(24,1),(25,1)}
       18:{1,2,4,6,7}:{(11,1),(12,1),(25,1)}
       19:{1,2,3,5,6}:{(13,1),(26,1),(27,1)}
       20:{1,2,3,4,6,7}:{(13,1),(27,1),(34,1)}
       21:{1,3,4,5,6}:{(14,1),(26,1),(28,1)}
       22:{1,2,4,5,6,7}:{(15,1),(29,1),(34,1)}
       23:{2,3,4,5,7}:{(14,1),(16,1),(28,1),(30,1)}
       24:{2,3,5,6,7}:{(15,1),(17,1),(29,1),(30,1)}
       25:{1,3,4,6,7}:{(16,1),(17,1),(18,1),(30,1)}
       26:{1,2,4,5,6}:{(19,1),(21,1),(31,1)}
       27:{1,2,3,5,7}:{(19,1),(20,1),(31,1)}
       28:{1,3,4,5,7}:{(21,1),(23,1),(31,1),(33,1)}
       29:{1,3,5,6,7}:{(22,1),(24,1),(33,1)}
       30:{2,3,4,6,7}:{(23,1),(24,1),(25,1),(33,1)}
       31:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,2,3,5,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,2,4,6,7}:{(31,1),(32,1),(33,1)}

3185 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5,7}:{(5,1),(14,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,6,7}:{(1,1),(7,1),(18,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,6,7}:{(5,1),(14,1),(27,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(17,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(17,1),(18,1)}
       12:{1,2,3,5,6,7}:{(7,1),(18,1),(30,1)}
       13:{1,2,4,5,6}:{(8,1),(19,1),(20,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(19,1),(22,1)}
       16:{2,3,4,5,6,7}:{(23,1),(33,1)}
       17:{1,3,4,5,7}:{(10,1),(11,1),(22,1),(24,1)}
       18:{1,2,4,6,7}:{(11,1),(12,1),(24,1)}
       19:{1,3,4,5,6}:{(13,1),(15,1),(26,1)}
       20:{1,2,4,5,7}:{(13,1),(14,1),(26,1),(27,1)}
       21:{1,2,3,5,6,7}:{(14,1),(27,1),(34,1)}
       22:{2,3,4,5,7}:{(15,1),(17,1),(26,1),(28,1)}
       23:{1,3,4,5,6,7}:{(16,1),(29,1),(30,1),(34,1)}
       24:{1,3,4,6,7}:{(17,1),(18,1),(28,1),(30,1)}
       25:{1,2,4,5,6,7}:{(18,1),(29,1),(30,1)}
       26:{1,3,4,5,7}:{(19,1),(20,1),(22,1),(31,1)}
       27:{1,2,4,6,7}:{(20,1),(21,1),(31,1)}
       28:{2,3,4,6,7}:{(22,1),(24,1),(31,1),(33,1)}
       29:{2,4,5,6,7}:{(23,1),(33,1)}
       30:{1,3,5,6,7}:{(24,1),(25,1),(33,1)}
       31:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,2,4,5,6,7}:{(27,1),(29,1),(34,1)}
       33:{2,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,6,7}:{(31,1),(32,1),(33,1)}

3186 :  0:{2,3,4,5,6,7}:{(1,1),(20,1),(23,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1),(33,1)}
        2:{1,2,3,4,6,7}:{(4,1),(15,1),(35,1)}
        3:{2,4,5,6,7}:{(1,1),(7,1),(42,1)}
        4:{1,2,3,5,7}:{(2,1),(8,1),(9,1),(43,1)}
        5:{1,2,3,4,6,7}:{(10,1),(28,1),(45,1)}
        6:{1,2,4,5,6,7}:{(3,1),(11,1),(32,1),(36,1),(46,1)}
        7:{2,3,5,6,7}:{(3,1),(11,1),(13,1),(47,1)}
        8:{1,2,4,5,7}:{(4,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(34,1)}
       10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(48,1)}
       11:{1,3,5,6,7}:{(6,1),(7,1),(20,1),(22,1),(43,1),(48,1)}
       12:{2,3,4,5,6}:{(21,1),(23,1),(40,1)}
       13:{2,3,4,6,7}:{(7,1),(22,1),(23,1)}
       14:{1,3,4,5,7}:{(8,1),(19,1),(24,1),(43,1)}
       15:{1,2,4,6}:{(8,1),(9,1),(24,1)}
       16:{1,2,3,5,6,7}:{(9,1),(20,1),(26,1),(43,1)}
       17:{1,2,4,5,7}:{(10,1),(27,1),(28,1)}
       18:{1,2,3,5,6}:{(10,1),(28,1),(44,1)}
       19:{2,3,4,5,7}:{(14,1),(27,1),(30,1),(47,1)}
       20:{2,3,5,6,7}:{(11,1),(32,1),(47,1)}
       21:{1,3,4,5,6}:{(12,1),(31,1),(33,1),(34,1),(44,1)}
       22:{1,3,4,6,7}:{(11,1),(13,1),(32,1),(33,1)}
       23:{2,3,4,5,7}:{(12,1),(13,1),(33,1),(47,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(30,1),(34,1)}
       25:{1,2,4,5,6}:{(15,1),(31,1),(34,1),(36,1)}
       26:{1,2,4,6,7}:{(15,1),(16,1),(32,1),(35,1),(36,1)}
       27:{1,3,4,5,7}:{(17,1),(19,1),(37,1),(48,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(37,1)}
       29:{1,2,3,5,6,7}:{(18,1),(20,1),(39,1),(48,1)}
       30:{2,3,4,6}:{(19,1),(24,1),(37,1),(40,1)}
       31:{2,4,5,6}:{(21,1),(40,1),(42,1)}
       32:{2,4,6,7}:{(20,1),(22,1),(42,1)}
       33:{1,3,4,5,7}:{(21,1),(22,1),(23,1),(42,1),(43,1),(48,1)}
       34:{1,3,5,6}:{(24,1),(25,1),(40,1),(43,1)}
       35:{1,3,4,6,7}:{(24,1),(26,1),(41,1),(43,1)}
       36:{1,2,4,5,7}:{(25,1),(26,1),(42,1),(43,1)}
       37:{1,3,4,6}:{(27,1),(28,1),(30,1),(44,1)}
       38:{1,2,4,5,6}:{(28,1),(31,1),(44,1),(46,1)}
       39:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(45,1),(46,1)}
       40:{2,3,5,6}:{(30,1),(31,1),(34,1),(44,1),(47,1)}
       41:{2,3,4,6,7}:{(30,1),(32,1),(35,1),(45,1),(47,1)}
       42:{2,4,5,7}:{(31,1),(32,1),(33,1),(47,1)}
       43:{1,3,5,7}:{(34,1),(35,1),(36,1),(47,1)}
       44:{1,3,5,6}:{(37,1),(38,1),(40,1),(48,1)}
       45:{1,3,4,6,7}:{(37,1),(39,1),(41,1),(48,1)}
       46:{1,2,4,5,7}:{(38,1),(39,1),(42,1),(48,1)}
       47:{2,3,5,7}:{(40,1),(41,1),(42,1),(43,1),(48,1)}
       48:{1,3,5,7}:{(44,1),(45,1),(46,1),(47,1)}

3187 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1)}
        4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(9,1)}
        6:{2,3,4,5,6}:{(8,1),(11,1)}
        7:{2,3,4,5,6,7}:{(12,1),(25,1)}
        8:{1,3,4,5,6}:{(4,1),(6,1),(13,1),(14,1)}
        9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(15,1)}
       10:{1,2,3,5,6,7}:{(5,1),(15,1),(23,1)}
       11:{2,3,4,5,7}:{(6,1),(14,1),(16,1)}
       12:{1,3,4,5,6,7}:{(7,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(8,1),(18,1)}
       14:{1,3,4,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1)}
       15:{1,2,4,6,7}:{(9,1),(10,1),(19,1)}
       16:{2,3,4,6,7}:{(11,1),(19,1),(21,1)}
       17:{2,4,5,6,7}:{(12,1),(21,1)}
       18:{2,3,4,5,7}:{(13,1),(14,1),(22,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(16,1),(22,1),(23,1)}
       20:{1,2,4,5,6,7}:{(15,1),(17,1),(23,1),(27,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(23,1)}
       22:{2,3,4,6,7}:{(18,1),(19,1),(25,1)}
       23:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(25,1)}
       24:{2,3,4,5,6,7}:{(21,1),(26,1)}
       25:{2,3,5,6,7}:{(22,1),(23,1),(27,1)}
       26:{1,3,4,5,6,7}:{(23,1),(24,1),(27,1)}
       27:{2,4,5,6,7}:{(25,1),(26,1)}

3188 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(2,1)}
        2:{1,2,3,4,6,7}:{(1,1),(3,1)}
        3:{1,2,3,5,6,7}:{(2,1),(4,1)}
        4:{1,2,4,5,6,7}:{(3,1),(5,1)}
        5:{1,3,4,5,6,7}:{(4,1),(6,1)}
        6:{2,3,4,5,6,7}:{(5,1),(7,1)}
        7:{1,3,4,5,6,7}:{(6,1),(9,1)}
        8:{1,2,3,4,5,6}:{(10,1)}
        9:{1,2,4,5,6,7}:{(7,1),(11,1)}
       10:{1,2,3,4,5,7}:{(8,1),(12,1)}
       11:{1,2,3,5,6,7}:{(9,1),(12,1)}
       12:{1,2,3,4,6,7}:{(10,1),(11,1)}

3189 :  0:{2,3,4,5,6,7}:{(1,1),(12,1)}
        1:{1,3,4,5,6,7}:{(0,1),(6,1),(7,1),(16,1)}
        2:{1,2,4,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,3,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,3,4,5,7}:{(9,1),(10,1)}
        6:{2,4,5,6,7}:{(1,1),(12,1)}
        7:{1,3,5,6,7}:{(2,1),(12,1),(13,1)}
        8:{1,2,4,6,7}:{(3,1),(13,1),(14,1)}
        9:{1,2,3,5,7}:{(4,1),(14,1),(15,1)}
       10:{1,2,3,4,6}:{(5,1),(15,1)}
       11:{1,2,4,5,6,7}:{(6,1),(16,1),(24,1)}
       12:{2,3,5,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       13:{1,3,4,6,7}:{(7,1),(8,1),(17,1),(18,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       15:{1,2,3,5,6}:{(9,1),(10,1),(19,1)}
       16:{1,3,5,6,7}:{(11,1),(12,1),(21,1)}
       17:{2,3,4,6,7}:{(12,1),(13,1),(21,1),(22,1)}
       18:{1,3,4,5,7}:{(13,1),(14,1),(22,1),(23,1)}
       19:{1,2,4,5,6}:{(14,1),(15,1),(23,1)}
       20:{1,2,3,5,6,7}:{(16,1),(24,1),(31,1)}
       21:{1,3,4,6,7}:{(16,1),(17,1),(24,1),(25,1)}
       22:{2,3,4,5,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,3,4,5,6}:{(18,1),(19,1),(26,1)}
       24:{1,2,4,6,7}:{(20,1),(21,1),(29,1)}
       25:{1,3,4,5,7}:{(21,1),(22,1),(29,1),(30,1)}
       26:{2,3,4,5,6}:{(22,1),(23,1),(30,1)}
       27:{1,2,3,4,6,7}:{(24,1),(31,1),(32,1)}
       28:{1,2,3,4,5,7}:{(31,1),(32,1)}
       29:{1,2,4,5,7}:{(24,1),(25,1),(31,1),(33,1)}
       30:{1,3,4,5,6}:{(25,1),(26,1),(33,1)}
       31:{1,2,3,5,7}:{(27,1),(29,1),(34,1)}
       32:{1,2,3,4,6}:{(28,1),(34,1)}
       33:{1,2,4,5,6}:{(29,1),(30,1),(34,1)}
       34:{1,2,3,5,6}:{(31,1),(32,1),(33,1)}

3190 :  0:{1,2,3,4,5,7}:{(2,1),(12,1)}
        1:{2,3,4,5,6,7}:{(3,1),(14,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1)}
        3:{1,3,4,5,6,7}:{(1,1),(8,1),(9,1),(18,1)}
        4:{1,2,4,5,6,7}:{(8,1),(9,1),(11,1)}
        5:{1,2,3,5,6,7}:{(9,1),(11,1),(12,1)}
        6:{1,2,3,5,6}:{(2,1),(10,1),(12,1)}
        7:{1,2,3,4,6,7}:{(2,1),(11,1),(12,1)}
        8:{2,4,5,6,7}:{(3,1),(14,1)}
        9:{1,3,5,6,7}:{(4,1),(14,1),(16,1)}
       10:{1,2,4,5,6}:{(6,1),(15,1),(17,1)}
       11:{1,2,4,6,7}:{(5,1),(16,1),(17,1)}
       12:{1,2,3,5,7}:{(6,1),(7,1),(17,1)}
       13:{1,2,4,5,6,7}:{(8,1),(18,1),(29,1)}
       14:{2,3,5,6,7}:{(8,1),(9,1),(18,1),(20,1)}
       15:{1,3,4,5,6}:{(10,1),(19,1),(21,1)}
       16:{1,3,4,6,7}:{(9,1),(11,1),(20,1),(21,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(21,1)}
       18:{1,3,5,6,7}:{(13,1),(14,1),(25,1)}
       19:{2,3,4,5,6}:{(15,1),(24,1),(26,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1)}
       21:{1,3,4,5,7}:{(15,1),(16,1),(17,1),(26,1)}
       22:{1,2,3,4,5,7}:{(27,1),(34,1)}
       23:{1,2,3,5,6,7}:{(18,1),(29,1),(34,1)}
       24:{1,3,4,5,6}:{(19,1),(28,1),(30,1)}
       25:{1,3,4,6,7}:{(18,1),(20,1),(29,1),(30,1)}
       26:{2,3,4,5,7}:{(19,1),(20,1),(21,1),(30,1)}
       27:{1,2,3,4,6}:{(22,1),(31,1)}
       28:{1,2,4,5,6}:{(24,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(25,1),(33,1)}
       30:{1,3,4,5,7}:{(24,1),(25,1),(26,1),(33,1)}
       31:{1,2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,2,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,2,3,5,7}:{(31,1),(32,1),(33,1)}

3191 :  0:{1,2,3,4,5,7}:{(1,1),(6,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,4,6,7}:{(1,1),(6,1),(18,1)}
        4:{2,3,4,5,6,7}:{(8,1),(24,1)}
        5:{1,2,4,5,6}:{(2,1),(9,1),(11,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(11,1)}
        7:{1,2,3,4,5,7}:{(13,1),(27,1)}
        8:{1,3,4,5,6,7}:{(4,1),(15,1),(17,1),(29,1)}
        9:{1,3,4,5,6}:{(5,1),(14,1),(16,1)}
       10:{1,2,4,5,6,7}:{(15,1),(17,1),(18,1)}
       11:{1,2,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
       12:{1,2,3,5,6,7}:{(6,1),(17,1),(18,1)}
       13:{1,2,3,4,6}:{(7,1),(19,1)}
       14:{2,3,4,5,6}:{(9,1),(21,1),(23,1)}
       15:{2,4,5,6,7}:{(8,1),(24,1)}
       16:{1,3,4,5,7}:{(9,1),(11,1),(23,1),(25,1)}
       17:{1,3,5,6,7}:{(10,1),(24,1),(25,1)}
       18:{1,2,4,6,7}:{(11,1),(12,1),(25,1)}
       19:{1,2,3,5,6}:{(13,1),(26,1),(27,1)}
       20:{1,2,3,4,6,7}:{(13,1),(27,1),(34,1)}
       21:{1,3,4,5,6}:{(14,1),(26,1),(28,1)}
       22:{1,2,4,5,6,7}:{(15,1),(29,1),(34,1)}
       23:{2,3,4,5,7}:{(14,1),(16,1),(28,1),(30,1)}
       24:{2,3,5,6,7}:{(15,1),(17,1),(29,1),(30,1)}
       25:{1,3,4,6,7}:{(16,1),(17,1),(18,1),(30,1)}
       26:{1,2,4,5,6}:{(19,1),(21,1),(31,1)}
       27:{1,2,3,5,7}:{(19,1),(20,1),(31,1)}
       28:{1,3,4,5,7}:{(21,1),(23,1),(31,1),(33,1)}
       29:{1,3,5,6,7}:{(22,1),(24,1),(33,1)}
       30:{2,3,4,6,7}:{(23,1),(24,1),(25,1),(33,1)}
       31:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,2,3,5,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,3,4,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,2,4,6,7}:{(31,1),(32,1),(33,1)}

3192 :  0:{1,2,3,4,5,7}:{(1,1),(7,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5,7}:{(5,1),(14,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
        4:{1,2,3,4,6,7}:{(1,1),(7,1),(18,1)}
        5:{1,2,3,4,6}:{(2,1),(8,1)}
        6:{1,2,4,5,6}:{(3,1),(10,1),(11,1)}
        7:{1,2,3,5,7}:{(3,1),(4,1),(11,1)}
        8:{1,2,3,5,6}:{(5,1),(13,1),(14,1)}
        9:{1,2,3,4,6,7}:{(5,1),(14,1),(27,1)}
       10:{1,3,4,5,6}:{(6,1),(15,1),(17,1)}
       11:{1,2,4,5,7}:{(6,1),(7,1),(17,1),(18,1)}
       12:{1,2,3,5,6,7}:{(7,1),(18,1),(30,1)}
       13:{1,2,4,5,6}:{(8,1),(19,1),(20,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(20,1)}
       15:{2,3,4,5,6}:{(10,1),(19,1),(22,1)}
       16:{2,3,4,5,6,7}:{(23,1),(33,1)}
       17:{1,3,4,5,7}:{(10,1),(11,1),(22,1),(24,1)}
       18:{1,2,4,6,7}:{(11,1),(12,1),(24,1)}
       19:{1,3,4,5,6}:{(13,1),(15,1),(26,1)}
       20:{1,2,4,5,7}:{(13,1),(14,1),(26,1),(27,1)}
       21:{1,2,3,5,6,7}:{(14,1),(27,1),(34,1)}
       22:{2,3,4,5,7}:{(15,1),(17,1),(26,1),(28,1)}
       23:{1,3,4,5,6,7}:{(16,1),(29,1),(30,1),(34,1)}
       24:{1,3,4,6,7}:{(17,1),(18,1),(28,1),(30,1)}
       25:{1,2,4,5,6,7}:{(18,1),(29,1),(30,1)}
       26:{1,3,4,5,7}:{(19,1),(20,1),(22,1),(31,1)}
       27:{1,2,4,6,7}:{(20,1),(21,1),(31,1)}
       28:{2,3,4,6,7}:{(22,1),(24,1),(31,1),(33,1)}
       29:{2,4,5,6,7}:{(23,1),(33,1)}
       30:{1,3,5,6,7}:{(24,1),(25,1),(33,1)}
       31:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(34,1)}
       32:{1,2,4,5,6,7}:{(27,1),(29,1),(34,1)}
       33:{2,3,5,6,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,6,7}:{(31,1),(32,1),(33,1)}

3193 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1)}
        4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(9,1)}
        6:{2,3,4,5,6}:{(8,1),(11,1)}
        7:{2,3,4,5,6,7}:{(12,1),(25,1)}
        8:{1,3,4,5,6}:{(4,1),(6,1),(13,1),(14,1)}
        9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(15,1)}
       10:{1,2,3,5,6,7}:{(5,1),(15,1),(23,1)}
       11:{2,3,4,5,7}:{(6,1),(14,1),(16,1)}
       12:{1,3,4,5,6,7}:{(7,1),(17,1),(23,1)}
       13:{2,3,4,5,6}:{(8,1),(18,1)}
       14:{1,3,4,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1)}
       15:{1,2,4,6,7}:{(9,1),(10,1),(19,1)}
       16:{2,3,4,6,7}:{(11,1),(19,1),(21,1)}
       17:{2,4,5,6,7}:{(12,1),(21,1)}
       18:{2,3,4,5,7}:{(13,1),(14,1),(22,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(16,1),(22,1),(23,1)}
       20:{1,2,4,5,6,7}:{(15,1),(17,1),(23,1),(27,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(23,1)}
       22:{2,3,4,6,7}:{(18,1),(19,1),(25,1)}
       23:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(25,1)}
       24:{2,3,4,5,6,7}:{(21,1),(26,1)}
       25:{2,3,5,6,7}:{(22,1),(23,1),(27,1)}
       26:{1,3,4,5,6,7}:{(23,1),(24,1),(27,1)}
       27:{2,4,5,6,7}:{(25,1),(26,1)}

3194 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(2,1)}
        2:{1,2,3,4,6,7}:{(1,1),(3,1)}
        3:{1,2,3,5,6,7}:{(2,1),(4,1)}
        4:{1,2,4,5,6,7}:{(3,1),(5,1)}
        5:{1,3,4,5,6,7}:{(4,1),(7,1)}
        6:{1,2,3,4,5,6}:{(8,1)}
        7:{2,3,4,5,6,7}:{(5,1),(9,1)}
        8:{1,2,3,4,5,7}:{(6,1),(10,1)}
        9:{1,3,4,5,6,7}:{(7,1),(11,1)}
       10:{1,2,3,4,6,7}:{(8,1),(12,1)}
       11:{1,2,4,5,6,7}:{(9,1),(12,1)}
       12:{1,2,3,5,6,7}:{(10,1),(11,1)}

3195 :  0:{2,3,4,5,6,7}:{(1,1),(12,1)}
        1:{1,3,4,5,6,7}:{(0,1),(6,1),(7,1),(16,1)}
        2:{1,2,4,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,3,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,3,4,5,7}:{(9,1),(10,1)}
        6:{2,4,5,6,7}:{(1,1),(12,1)}
        7:{1,3,5,6,7}:{(2,1),(12,1),(13,1)}
        8:{1,2,4,6,7}:{(3,1),(13,1),(14,1)}
        9:{1,2,3,5,7}:{(4,1),(14,1),(15,1)}
       10:{1,2,3,4,6}:{(5,1),(15,1)}
       11:{1,2,4,5,6,7}:{(6,1),(16,1),(26,1)}
       12:{2,3,5,6,7}:{(6,1),(7,1),(16,1),(17,1)}
       13:{1,3,4,6,7}:{(7,1),(8,1),(17,1),(18,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       15:{1,2,3,5,6}:{(9,1),(10,1),(19,1)}
       16:{1,3,5,6,7}:{(11,1),(12,1),(23,1)}
       17:{2,3,4,6,7}:{(12,1),(13,1),(23,1),(24,1)}
       18:{1,3,4,5,7}:{(13,1),(14,1),(24,1),(25,1)}
       19:{1,2,4,5,6}:{(14,1),(15,1),(25,1)}
       20:{1,2,3,5,6,7}:{(16,1),(26,1),(27,1)}
       21:{1,2,3,4,6,7}:{(26,1),(27,1),(28,1)}
       22:{1,2,3,4,5,7}:{(27,1),(28,1)}
       23:{1,3,4,6,7}:{(16,1),(17,1),(26,1),(29,1)}
       24:{2,3,4,5,7}:{(17,1),(18,1),(29,1),(30,1)}
       25:{1,3,4,5,6}:{(18,1),(19,1),(30,1)}
       26:{1,2,4,6,7}:{(20,1),(23,1),(31,1)}
       27:{1,2,3,5,7}:{(21,1),(31,1),(32,1)}
       28:{1,2,3,4,6}:{(22,1),(32,1)}
       29:{1,3,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       30:{2,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(34,1)}
       32:{1,2,3,5,6}:{(27,1),(28,1),(34,1)}
       33:{1,3,4,5,6}:{(29,1),(30,1),(34,1)}
       34:{1,2,4,5,6}:{(31,1),(32,1),(33,1)}

3196 :  0:{1,2,3,4,5,7}:{(2,1),(12,1)}
        1:{2,3,4,5,6,7}:{(3,1),(15,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1)}
        3:{1,3,4,5,6,7}:{(1,1),(8,1),(9,1),(20,1)}
        4:{1,2,4,5,6,7}:{(8,1),(9,1),(11,1)}
        5:{1,2,3,5,6,7}:{(9,1),(11,1),(12,1)}
        6:{1,2,3,5,6}:{(2,1),(10,1),(12,1)}
        7:{1,2,3,4,6,7}:{(2,1),(11,1),(12,1)}
        8:{2,4,5,6,7}:{(3,1),(15,1)}
        9:{1,3,5,6,7}:{(4,1),(15,1),(17,1)}
       10:{1,2,4,5,6}:{(6,1),(16,1),(18,1)}
       11:{1,2,4,6,7}:{(5,1),(17,1),(18,1)}
       12:{1,2,3,5,7}:{(6,1),(7,1),(18,1)}
       13:{1,2,3,4,5,7}:{(19,1),(32,1)}
       14:{1,2,4,5,6,7}:{(8,1),(20,1),(31,1)}
       15:{2,3,5,6,7}:{(8,1),(9,1),(20,1),(22,1)}
       16:{1,3,4,5,6}:{(10,1),(21,1),(23,1)}
       17:{1,3,4,6,7}:{(9,1),(11,1),(22,1),(23,1)}
       18:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(23,1)}
       19:{1,2,3,4,6}:{(13,1),(25,1)}
       20:{1,3,5,6,7}:{(14,1),(15,1),(28,1)}
       21:{2,3,4,5,6}:{(16,1),(27,1),(29,1)}
       22:{2,3,4,6,7}:{(15,1),(17,1),(28,1),(29,1)}
       23:{1,3,4,5,7}:{(16,1),(17,1),(18,1),(29,1)}
       24:{1,2,3,5,6,7}:{(20,1),(31,1),(32,1)}
       25:{1,2,3,5,6}:{(19,1),(30,1),(32,1)}
       26:{1,2,3,4,6,7}:{(19,1),(31,1),(32,1)}
       27:{1,3,4,5,6}:{(21,1),(30,1),(33,1)}
       28:{1,3,4,6,7}:{(20,1),(22,1),(31,1),(33,1)}
       29:{2,3,4,5,7}:{(21,1),(22,1),(23,1),(33,1)}
       30:{1,2,4,5,6}:{(25,1),(27,1),(34,1)}
       31:{1,2,4,6,7}:{(24,1),(28,1),(34,1)}
       32:{1,2,3,5,7}:{(25,1),(26,1),(34,1)}
       33:{1,3,4,5,7}:{(27,1),(28,1),(29,1),(34,1)}
       34:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(33,1)}

3197 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,5,7}:{(5,1),(17,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(22,1)}
        5:{1,2,3,4,6}:{(2,1),(9,1)}
        6:{2,3,4,5,6,7}:{(11,1),(28,1)}
        7:{1,2,4,5,6}:{(3,1),(12,1),(14,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(14,1)}
        9:{1,2,3,5,6}:{(5,1),(16,1),(17,1)}
       10:{1,2,3,4,6,7}:{(5,1),(17,1),(32,1)}
       11:{1,3,4,5,6,7}:{(6,1),(19,1),(21,1),(31,1)}
       12:{1,3,4,5,6}:{(7,1),(18,1),(20,1)}
       13:{1,2,4,5,6,7}:{(19,1),(21,1),(22,1)}
       14:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(22,1)}
       15:{1,2,3,5,6,7}:{(8,1),(21,1),(22,1)}
       16:{1,2,4,5,6}:{(9,1),(23,1),(25,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(25,1)}
       18:{2,3,4,5,6}:{(12,1),(23,1),(27,1)}
       19:{2,4,5,6,7}:{(11,1),(28,1)}
       20:{1,3,4,5,7}:{(12,1),(14,1),(27,1),(29,1)}
       21:{1,3,5,6,7}:{(13,1),(28,1),(29,1)}
       22:{1,2,4,6,7}:{(14,1),(15,1),(29,1)}
       23:{1,3,4,5,6}:{(16,1),(18,1),(30,1)}
       24:{1,2,4,5,6,7}:{(19,1),(31,1),(32,1)}
       25:{1,2,4,5,7}:{(16,1),(17,1),(30,1),(32,1)}
       26:{1,2,3,5,6,7}:{(17,1),(31,1),(32,1)}
       27:{2,3,4,5,7}:{(18,1),(20,1),(30,1),(33,1)}
       28:{2,3,5,6,7}:{(19,1),(21,1),(31,1),(33,1)}
       29:{1,3,4,6,7}:{(20,1),(21,1),(22,1),(33,1)}
       30:{1,3,4,5,7}:{(23,1),(25,1),(27,1),(34,1)}
       31:{1,3,5,6,7}:{(24,1),(28,1),(34,1)}
       32:{1,2,4,6,7}:{(25,1),(26,1),(34,1)}
       33:{2,3,4,6,7}:{(27,1),(28,1),(29,1),(34,1)}
       34:{1,3,4,6,7}:{(30,1),(31,1),(32,1),(33,1)}

3198 :  0:{1,2,3,4,5,7}:{(1,1),(5,1)}
        1:{1,2,3,4,6}:{(0,1),(2,1)}
        2:{1,2,3,5,6}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1)}
        4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
        5:{1,2,3,5,7}:{(2,1),(3,1),(9,1)}
        6:{2,3,4,5,6}:{(8,1),(11,1)}
        7:{2,3,4,5,6,7}:{(12,1),(27,1)}
        8:{1,3,4,5,6}:{(4,1),(6,1),(13,1),(15,1)}
        9:{1,2,4,5,7}:{(4,1),(5,1),(15,1),(16,1)}
       10:{1,2,3,5,6,7}:{(5,1),(16,1),(26,1)}
       11:{2,3,4,5,7}:{(6,1),(15,1),(17,1)}
       12:{1,3,4,5,6,7}:{(7,1),(18,1),(26,1)}
       13:{2,3,4,5,6}:{(8,1),(19,1)}
       14:{2,3,4,5,6,7}:{(20,1),(23,1)}
       15:{1,3,4,5,7}:{(8,1),(9,1),(11,1),(19,1),(21,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(21,1)}
       17:{2,3,4,6,7}:{(11,1),(21,1),(23,1)}
       18:{2,4,5,6,7}:{(12,1),(23,1)}
       19:{2,3,4,5,7}:{(13,1),(15,1),(24,1)}
       20:{1,3,4,5,6,7}:{(14,1),(25,1),(26,1)}
       21:{1,3,4,6,7}:{(15,1),(16,1),(17,1),(24,1),(26,1)}
       22:{1,2,4,5,6,7}:{(16,1),(18,1),(25,1),(26,1)}
       23:{2,3,5,6,7}:{(17,1),(18,1),(26,1)}
       24:{2,3,4,6,7}:{(19,1),(21,1),(27,1)}
       25:{2,4,5,6,7}:{(20,1),(27,1)}
       26:{1,3,5,6,7}:{(21,1),(22,1),(23,1),(27,1)}
       27:{2,3,5,6,7}:{(24,1),(25,1),(26,1)}

3199 :  0:{2,3,4,5,6,7}:{(1,1),(16,1)}
        1:{1,3,4,5,6,7}:{(0,1),(3,1),(11,1)}
        2:{2,3,4,5,6,7}:{(4,1),(9,1)}
        3:{2,4,5,6,7}:{(1,1),(9,1)}
        4:{1,3,4,5,6,7}:{(2,1),(10,1),(11,1)}
        5:{1,2,4,5,6,7}:{(3,1),(10,1),(11,1),(12,1)}
        6:{1,2,3,5,6,7}:{(11,1),(12,1),(13,1)}
        7:{1,2,3,4,6,7}:{(12,1),(13,1),(14,1)}
        8:{1,2,3,4,5,7}:{(13,1),(14,1)}
        9:{2,3,5,6,7}:{(3,1),(11,1),(15,1)}
       10:{2,4,5,6,7}:{(4,1),(16,1)}
       11:{1,3,5,6,7}:{(5,1),(9,1),(16,1),(17,1)}
       12:{1,2,4,6,7}:{(6,1),(17,1),(18,1)}
       13:{1,2,3,5,7}:{(7,1),(18,1),(19,1)}
       14:{1,2,3,4,6}:{(8,1),(19,1)}
       15:{2,3,4,6,7}:{(9,1),(17,1),(20,1)}
       16:{2,3,5,6,7}:{(10,1),(11,1),(21,1)}
       17:{1,3,4,6,7}:{(11,1),(12,1),(15,1),(21,1),(22,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(13,1),(14,1),(23,1)}
       20:{2,3,4,5,7}:{(15,1),(22,1),(24,1)}
       21:{2,3,4,6,7}:{(16,1),(17,1),(25,1)}
       22:{1,3,4,5,7}:{(17,1),(18,1),(20,1),(25,1),(26,1)}
       23:{1,2,4,5,6}:{(18,1),(19,1),(26,1)}
       24:{2,3,4,5,6}:{(20,1),(26,1)}
       25:{2,3,4,5,7}:{(21,1),(22,1),(27,1)}
       26:{1,3,4,5,6}:{(22,1),(23,1),(24,1),(27,1)}
       27:{2,3,4,5,6}:{(25,1),(26,1)}

3200 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(2,1)}
        2:{1,2,3,4,6,7}:{(1,1),(3,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1)}
        4:{1,2,3,4,5,6}:{(6,1)}
        5:{1,2,4,5,6,7}:{(3,1),(7,1)}
        6:{1,2,3,4,5,7}:{(4,1),(8,1)}
        7:{1,3,4,5,6,7}:{(5,1),(9,1)}
        8:{1,2,3,4,6,7}:{(6,1),(10,1)}
        9:{2,3,4,5,6,7}:{(7,1),(11,1)}
       10:{1,2,3,5,6,7}:{(8,1),(12,1)}
       11:{1,3,4,5,6,7}:{(9,1),(12,1)}
       12:{1,2,4,5,6,7}:{(10,1),(11,1)}

3201 :  0:{2,3,4,5,6,7}:{(1,1),(15,1)}
        1:{1,3,4,5,6,7}:{(0,1),(6,1),(7,1),(19,1)}
        2:{1,2,4,5,6,7}:{(6,1),(7,1),(8,1)}
        3:{1,2,3,5,6,7}:{(7,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(8,1),(9,1),(10,1)}
        5:{1,2,3,4,5,7}:{(9,1),(10,1)}
        6:{2,4,5,6,7}:{(1,1),(15,1)}
        7:{1,3,5,6,7}:{(2,1),(15,1),(16,1)}
        8:{1,2,4,6,7}:{(3,1),(16,1),(17,1)}
        9:{1,2,3,5,7}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,4,6}:{(5,1),(18,1)}
       11:{1,2,4,5,6,7}:{(6,1),(19,1),(20,1)}
       12:{1,2,3,5,6,7}:{(19,1),(20,1),(21,1)}
       13:{1,2,3,4,6,7}:{(20,1),(21,1),(22,1)}
       14:{1,2,3,4,5,7}:{(21,1),(22,1)}
       15:{2,3,5,6,7}:{(6,1),(7,1),(19,1),(23,1)}
       16:{1,3,4,6,7}:{(7,1),(8,1),(23,1),(24,1)}
       17:{1,2,4,5,7}:{(8,1),(9,1),(24,1),(25,1)}
       18:{1,2,3,5,6}:{(9,1),(10,1),(25,1)}
       19:{1,3,5,6,7}:{(11,1),(15,1),(26,1)}
       20:{1,2,4,6,7}:{(12,1),(26,1),(27,1)}
       21:{1,2,3,5,7}:{(13,1),(27,1),(28,1)}
       22:{1,2,3,4,6}:{(14,1),(28,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(26,1),(29,1)}
       24:{1,3,4,5,7}:{(16,1),(17,1),(29,1),(30,1)}
       25:{1,2,4,5,6}:{(17,1),(18,1),(30,1)}
       26:{1,3,4,6,7}:{(19,1),(20,1),(23,1),(31,1)}
       27:{1,2,4,5,7}:{(20,1),(21,1),(31,1),(32,1)}
       28:{1,2,3,5,6}:{(21,1),(22,1),(32,1)}
       29:{2,3,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       30:{1,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,4,5,7}:{(26,1),(27,1),(29,1),(34,1)}
       32:{1,2,4,5,6}:{(27,1),(28,1),(34,1)}
       33:{2,3,4,5,6}:{(29,1),(30,1),(34,1)}
       34:{1,3,4,5,6}:{(31,1),(32,1),(33,1)}

3202 :  0:{1,2,3,4,5,7}:{(2,1),(14,1)}
        1:{2,3,4,5,6,7}:{(4,1),(19,1)}
        2:{1,2,3,4,6}:{(0,1),(7,1)}
        3:{1,2,3,4,5,7}:{(9,1),(26,1)}
        4:{1,3,4,5,6,7}:{(1,1),(10,1),(11,1),(23,1)}
        5:{1,2,4,5,6,7}:{(10,1),(11,1),(13,1)}
        6:{1,2,3,5,6,7}:{(11,1),(13,1),(14,1)}
        7:{1,2,3,5,6}:{(2,1),(12,1),(14,1)}
        8:{1,2,3,4,6,7}:{(2,1),(13,1),(14,1)}
        9:{1,2,3,4,6}:{(3,1),(17,1)}
       10:{2,4,5,6,7}:{(4,1),(19,1)}
       11:{1,3,5,6,7}:{(5,1),(19,1),(21,1)}
       12:{1,2,4,5,6}:{(7,1),(20,1),(22,1)}
       13:{1,2,4,6,7}:{(6,1),(21,1),(22,1)}
       14:{1,2,3,5,7}:{(7,1),(8,1),(22,1)}
       15:{1,2,4,5,6,7}:{(10,1),(23,1),(25,1)}
       16:{1,2,3,5,6,7}:{(23,1),(25,1),(26,1)}
       17:{1,2,3,5,6}:{(9,1),(24,1),(26,1)}
       18:{1,2,3,4,6,7}:{(9,1),(25,1),(26,1)}
       19:{2,3,5,6,7}:{(10,1),(11,1),(23,1),(28,1)}
       20:{1,3,4,5,6}:{(12,1),(27,1),(29,1)}
       21:{1,3,4,6,7}:{(11,1),(13,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(29,1)}
       23:{1,3,5,6,7}:{(15,1),(19,1),(31,1)}
       24:{1,2,4,5,6}:{(17,1),(30,1),(32,1)}
       25:{1,2,4,6,7}:{(16,1),(31,1),(32,1)}
       26:{1,2,3,5,7}:{(17,1),(18,1),(32,1)}
       27:{2,3,4,5,6}:{(20,1),(30,1),(33,1)}
       28:{2,3,4,6,7}:{(19,1),(21,1),(31,1),(33,1)}
       29:{1,3,4,5,7}:{(20,1),(21,1),(22,1),(33,1)}
       30:{1,3,4,5,6}:{(24,1),(27,1),(34,1)}
       31:{1,3,4,6,7}:{(23,1),(25,1),(28,1),(34,1)}
       32:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(34,1)}
       33:{2,3,4,5,7}:{(27,1),(28,1),(29,1),(34,1)}
       34:{1,3,4,5,7}:{(30,1),(31,1),(32,1),(33,1)}

3203 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{2,3,4,5,6,7}:{(5,1),(25,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(22,1)}
        5:{1,3,4,5,6,7}:{(2,1),(10,1),(21,1)}
        6:{2,3,4,5,6,7}:{(11,1),(17,1)}
        7:{1,2,4,5,6}:{(3,1),(12,1),(14,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(14,1)}
        9:{2,3,4,5,6}:{(12,1),(16,1)}
       10:{2,4,5,6,7}:{(5,1),(17,1)}
       11:{1,3,4,5,6,7}:{(6,1),(19,1),(21,1)}
       12:{1,3,4,5,6}:{(7,1),(9,1),(18,1),(20,1)}
       13:{1,2,4,5,6,7}:{(10,1),(19,1),(21,1),(22,1)}
       14:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(22,1)}
       15:{1,2,3,5,6,7}:{(8,1),(21,1),(22,1)}
       16:{2,3,4,5,7}:{(9,1),(20,1),(23,1)}
       17:{2,3,5,6,7}:{(10,1),(21,1),(23,1)}
       18:{2,3,4,5,6}:{(12,1),(24,1)}
       19:{2,4,5,6,7}:{(11,1),(25,1)}
       20:{1,3,4,5,7}:{(12,1),(14,1),(16,1),(24,1),(26,1)}
       21:{1,3,5,6,7}:{(13,1),(17,1),(25,1),(26,1)}
       22:{1,2,4,6,7}:{(14,1),(15,1),(26,1)}
       23:{2,3,4,6,7}:{(16,1),(17,1),(26,1)}
       24:{2,3,4,5,7}:{(18,1),(20,1),(27,1)}
       25:{2,3,5,6,7}:{(19,1),(21,1),(27,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(22,1),(23,1),(27,1)}
       27:{2,3,4,6,7}:{(24,1),(25,1),(26,1)}

3204 :  0:{2,3,4,5,6,7}:{(2,1),(19,1)}
        1:{1,2,3,4,5,7}:{(4,1),(16,1)}
        2:{1,3,4,5,6,7}:{(0,1),(5,1),(13,1)}
        3:{2,3,4,5,6,7}:{(6,1),(11,1)}
        4:{1,2,3,4,6}:{(1,1),(9,1)}
        5:{2,4,5,6,7}:{(2,1),(11,1)}
        6:{1,3,4,5,6,7}:{(3,1),(12,1),(13,1)}
        7:{1,2,4,5,6,7}:{(5,1),(12,1),(13,1),(15,1)}
        8:{1,2,3,5,6,7}:{(13,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(4,1),(14,1),(16,1)}
       10:{1,2,3,4,6,7}:{(4,1),(15,1),(16,1)}
       11:{2,3,5,6,7}:{(5,1),(13,1),(18,1)}
       12:{2,4,5,6,7}:{(6,1),(19,1)}
       13:{1,3,5,6,7}:{(7,1),(11,1),(19,1),(21,1)}
       14:{1,2,4,5,6}:{(9,1),(20,1),(22,1)}
       15:{1,2,4,6,7}:{(8,1),(21,1),(22,1)}
       16:{1,2,3,5,7}:{(9,1),(10,1),(22,1)}
       17:{2,3,4,5,6}:{(20,1),(23,1)}
       18:{2,3,4,6,7}:{(11,1),(21,1),(23,1)}
       19:{2,3,5,6,7}:{(12,1),(13,1),(25,1)}
       20:{1,3,4,5,6}:{(14,1),(17,1),(24,1),(26,1)}
       21:{1,3,4,6,7}:{(13,1),(15,1),(18,1),(25,1),(26,1)}
       22:{1,2,4,5,7}:{(14,1),(15,1),(16,1),(26,1)}
       23:{2,3,4,5,7}:{(17,1),(18,1),(26,1)}
       24:{2,3,4,5,6}:{(20,1),(27,1)}
       25:{2,3,4,6,7}:{(19,1),(21,1),(27,1)}
       26:{1,3,4,5,7}:{(20,1),(21,1),(22,1),(23,1),(27,1)}
       27:{2,3,4,5,7}:{(24,1),(25,1),(26,1)}

3205 :  0:{1,2,3,4,5,6}:{(1,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1)}
        2:{1,2,3,4,5,6}:{(4,1)}
        3:{1,2,3,4,6,7}:{(1,1),(5,1)}
        4:{1,2,3,4,5,7}:{(2,1),(6,1)}
        5:{1,2,3,5,6,7}:{(3,1),(7,1)}
        6:{1,2,3,4,6,7}:{(4,1),(8,1)}
        7:{1,2,4,5,6,7}:{(5,1),(9,1)}
        8:{1,2,3,5,6,7}:{(6,1),(10,1)}
        9:{1,3,4,5,6,7}:{(7,1),(11,1)}
       10:{1,2,4,5,6,7}:{(8,1),(12,1)}
       11:{2,3,4,5,6,7}:{(9,1),(12,1)}
       12:{1,3,4,5,6,7}:{(10,1),(11,1)}

3206 : 0:{1,2,3,4,5,6}:{(1,1)}
       1:{1,2,3,4,5,7}:{(0,1),(2,1)}
       2:{1,2,3,4,6,7}:{(1,1),(3,1)}
       3:{1,2,3,5,6,7}:{(2,1),(4,1)}
       4:{1,2,4,5,6,7}:{(3,1),(6,1)}
       5:{2,3,4,5,6,7}:{(6,1)}
       6:{1,3,4,5,6,7}:{(4,1),(5,1),(7,1)}
       7:{2,3,4,5,6,7}:{(6,1)}

3207 : 0:{1,2,3,4,5,6,7}:{}